{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Mixture models and label switching with MCMC {#sec-mixture-models-label-switching}\n", "\n", "[Data set download](https://s3.amazonaws.com/bebi103.caltech.edu/data/singer_transcript_counts.csv)\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden", "tags": [] }, "outputs": [], "source": [ "#| code-fold: true\n", "\n", "# Colab setup ------------------\n", "import os, shutil, sys, subprocess, urllib.request\n", "if \"google.colab\" in sys.modules:\n", " cmd = \"pip install --upgrade polars iqplot colorcet datashader bebi103 arviz cmdstanpy watermark\"\n", " process = subprocess.Popen(cmd.split(), stdout=subprocess.PIPE, stderr=subprocess.PIPE)\n", " stdout, stderr = process.communicate()\n", " from cmdstanpy.install_cmdstan import latest_version\n", " cmdstan_version = latest_version()\n", " cmdstan_url = f\"https://github.com/stan-dev/cmdstan/releases/download/v{cmdstan_version}/\"\n", " fname = f\"colab-cmdstan-{cmdstan_version}.tgz\"\n", " urllib.request.urlretrieve(cmdstan_url + fname, fname)\n", " shutil.unpack_archive(fname)\n", " os.environ[\"CMDSTAN\"] = f\"./cmdstan-{cmdstan_version}\"\n", " data_path = \"https://s3.amazonaws.com/bebi103.caltech.edu/data/\"\n", "else:\n", " data_path = \"../data/\"\n", "# ------------------------------" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", "
\n", " \n", " Loading BokehJS ...\n", "
\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "'use strict';\n", "(function(root) {\n", " function now() {\n", " return new Date();\n", " }\n", "\n", " const force = true;\n", "\n", " if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n", " root._bokeh_onload_callbacks = [];\n", " root._bokeh_is_loading = undefined;\n", " }\n", "\n", "const JS_MIME_TYPE = 'application/javascript';\n", " const HTML_MIME_TYPE = 'text/html';\n", " const EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n", " const CLASS_NAME = 'output_bokeh rendered_html';\n", "\n", " /**\n", " * Render data to the DOM node\n", " */\n", " function render(props, node) {\n", " const script = document.createElement(\"script\");\n", " node.appendChild(script);\n", " }\n", "\n", " /**\n", " * Handle when an output is cleared or removed\n", " */\n", " function handleClearOutput(event, handle) {\n", " function drop(id) {\n", " const view = Bokeh.index.get_by_id(id)\n", " if (view != null) {\n", " view.model.document.clear()\n", " Bokeh.index.delete(view)\n", " }\n", " }\n", "\n", " const cell = handle.cell;\n", "\n", " const id = cell.output_area._bokeh_element_id;\n", " const server_id = cell.output_area._bokeh_server_id;\n", "\n", " // Clean up Bokeh references\n", " if (id != null) {\n", " drop(id)\n", " }\n", "\n", " if (server_id !== undefined) {\n", " // Clean up Bokeh references\n", " const cmd_clean = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n", " cell.notebook.kernel.execute(cmd_clean, {\n", " iopub: {\n", " output: function(msg) {\n", " const id = msg.content.text.trim()\n", " drop(id)\n", " }\n", " }\n", " });\n", " // Destroy server and session\n", " const cmd_destroy = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n", " cell.notebook.kernel.execute(cmd_destroy);\n", " }\n", " }\n", "\n", " /**\n", " * Handle when a new output is added\n", " */\n", " function handleAddOutput(event, handle) {\n", " const output_area = handle.output_area;\n", " const output = handle.output;\n", "\n", " // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n", " if ((output.output_type != \"display_data\") || (!Object.prototype.hasOwnProperty.call(output.data, EXEC_MIME_TYPE))) {\n", " return\n", " }\n", "\n", " const toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n", "\n", " if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n", " toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n", " // store reference to embed id on output_area\n", " output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n", " }\n", " if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n", " const bk_div = document.createElement(\"div\");\n", " bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n", " const script_attrs = bk_div.children[0].attributes;\n", " for (let i = 0; i < script_attrs.length; i++) {\n", " toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n", " toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n", " }\n", " // store reference to server id on output_area\n", " output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n", " }\n", " }\n", "\n", " function register_renderer(events, OutputArea) {\n", "\n", " function append_mime(data, metadata, element) {\n", " // create a DOM node to render to\n", " const toinsert = this.create_output_subarea(\n", " metadata,\n", " CLASS_NAME,\n", " EXEC_MIME_TYPE\n", " );\n", " this.keyboard_manager.register_events(toinsert);\n", " // Render to node\n", " const props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n", " render(props, toinsert[toinsert.length - 1]);\n", " element.append(toinsert);\n", " return toinsert\n", " }\n", "\n", " /* Handle when an output is cleared or removed */\n", " events.on('clear_output.CodeCell', handleClearOutput);\n", " events.on('delete.Cell', handleClearOutput);\n", "\n", " /* Handle when a new output is added */\n", " events.on('output_added.OutputArea', handleAddOutput);\n", "\n", " /**\n", " * Register the mime type and append_mime function with output_area\n", " */\n", " OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n", " /* Is output safe? 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\\n\"+\n", " \"

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\\n\"+\n", " \"\\n\"+\n", " \"\\n\"+\n", " \"from bokeh.resources import INLINE\\n\"+\n", " \"output_notebook(resources=INLINE)\\n\"+\n", " \"\\n\"+\n", " \"
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\\n\"+\n \"

\\n\"+\n \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n \"

\\n\"+\n \"\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"
\"}};\n\n function display_loaded(error = null) {\n const el = document.getElementById(\"fa2e232c-34c5-4754-8c21-a5866df1a0c4\");\n if (el != null) {\n const html = (() => {\n if (typeof root.Bokeh === \"undefined\") {\n if (error == null) {\n return \"BokehJS is loading ...\";\n } else {\n return \"BokehJS failed to load.\";\n }\n } else {\n const prefix = `BokehJS ${root.Bokeh.version}`;\n if (error == null) {\n return `${prefix} successfully loaded.`;\n } else {\n return `${prefix} encountered errors while loading and may not function as expected.`;\n }\n }\n })();\n el.innerHTML = html;\n\n if (error != null) {\n const wrapper = document.createElement(\"div\");\n wrapper.style.overflow = \"auto\";\n wrapper.style.height = \"5em\";\n wrapper.style.resize = \"vertical\";\n const content = document.createElement(\"div\");\n content.style.fontFamily = \"monospace\";\n content.style.whiteSpace = \"pre-wrap\";\n content.style.backgroundColor = \"rgb(255, 221, 221)\";\n content.textContent = error.stack ?? 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Here, we saw clear bimodality in the data, as can be seen from EDA." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p1008" } }, "output_type": "display_data" } ], "source": [ "# Load DataFrame and get counts\n", "df = pl.read_csv(os.path.join(data_path, \"singer_transcript_counts.csv\"), comment_prefix=\"#\")\n", "n = df[\"Rex1\"].to_numpy()\n", "\n", "bokeh.io.show(\n", " iqplot.ecdf(n, x_axis_label=\"mRNA count\", frame_height=150, frame_width=200)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mixture models\n", "\n", "Since the Negative Binomial distribution is unimodal, what could be the story here? It is quite possible we are seeing two different states of cells, one with one level of bursty expression of the gene of interest, and another with a higher level of bursty expression. This could mean the cells are differentiating. So, we would expect the number of mRNA transcripts to be distributed according to a linear combination of two negative binomial distributions. We can write out the PMF as\n", "\n", "\\begin{align}\n", "f(n\\mid \\alpha_1, \\alpha_2, \\beta_1, \\beta_2, w) &= \n", "w\\,\\frac{\\Gamma(n + \\alpha_1)}{n!\\,\\Gamma(\\alpha_1)}\\,\\left(\\frac{\\beta_1}{1+\\beta_1}\\right)^{\\alpha_1}\\left(\\frac{1}{1+\\beta_1}\\right)^{n} \\\\[1em]\n", "&\\;\\;\\;\\;+ (1-w) \\,\\frac{\\Gamma(n + \\alpha_2)}{n!\\,\\Gamma(\\alpha_2)}\\,\\left(\\frac{\\beta_2}{1+\\beta_2}\\right)^{\\alpha_2}\\left(\\frac{1}{1+\\beta_2}\\right)^{n} ,\n", "\\end{align}\n", "\n", "where $w$ is the probability that the burst size and frequency are determined by $1/\\beta_1$ and $\\alpha_1$. Such a model, in which a variable is distributed as a linear combination of distributions, is called a **mixture model**.\n", "\n", "For this case, we can write this likelihood more concisely as\n", "\n", "\\begin{align}\n", "n_i \\sim w \\, \\text{NegBinom}(\\alpha_1, \\beta_1) + (1-w)\\,\\text{NegBinom}(\\alpha_2, \\beta_2)\\;\\;\\forall i.\n", "\\end{align}\n", "\n", "We have to specify priors on $\\alpha_1$, $\\beta_1$, $\\alpha_2$, $\\beta_2$, and $w$. We can retain the same priors from @sec-parameter-estimation-with-mcmc-1 for the $\\alpha$'s and $\\beta$'s, and we will assume a Uniform prior for $w$. We then have the following model.\n", "\n", "\\begin{align}\n", "&\\log_{10} \\alpha_i \\sim \\text{Norm}(0,1) \\text{ for } i \\in [1, 2] \\\\[1em]\n", "&\\log_{10} b_i \\sim \\text{Norm}(2, 1) \\text{ for } i \\in [1, 2], \\\\[1em]\n", "&\\beta_i = 1/b_i,\\\\[1em]\n", "&w \\sim \\text{Beta}(1, 1), \\\\[1em]\n", "&n_i \\sim w \\, \\text{NegBinom}(\\alpha_1, \\beta_1) + (1-w)\\,\\text{NegBinom}(\\alpha_2, \\beta_2)\\;\\;\\forall i.\n", "\\end{align}\n", "\n", "Note that since the prior for $w$ is Uniform (Beta(1, 1)), we do not need to explicitly consider its prior, but simply enforce constrains on $w$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Coding up a mixture model\n", "\n", "There are a few considerations for coding up a mixture model that also introduce Stan syntax. Importantly, under the hood, Stan uses the log posterior, as do almost all samplers, when sampling out of the posterior. Dealing with a mixture model presents a unique challenge for computing the log likelihood (which is one of the summands of the log posterior). Consider the log likelihood in the present example.\n", "\n", "\\begin{align}\n", "\\ln f(n\\mid \\alpha_1, \\alpha_2, \\beta_1, \\beta_2, w) = \\ln(w\\,a_1 + (1-w)a_2),\n", "\\end{align}\n", "\n", "where\n", "\n", "\\begin{align}\n", "a_i = \\frac{\\Gamma(n + \\alpha_i)!}{n!\\,\\Gamma(\\alpha_i)}\\,\\left(\\frac{\\beta_i}{1+\\beta_i}\\right)^{\\alpha_i}\\left(\\frac{1}{1+\\beta_i}\\right)^{n}.\n", "\\end{align}\n", "\n", "While the logarithm of a product is conveniently split, we cannot split the logarithm of a sum. If we consider the sum directly, we will get serious underflow errors for parameters for which the terms $a_1$ or $a_2$ are small. To compute this in a more numerically stable way, we need to use the [log-sum-exp trick](https://en.wikipedia.org/wiki/LogSumExp). Fortunately, Stan has a built-in function to compute the contributions to the log posterior of a mixture, the `log_mix` function. To update the posterior with this `log_mix` function, we need to add to `target`. In Stan, the keyword `target` is a special variable that holds the running sum of the contributions to the log posterior. When you make statements like `theta ~ normal(0.0, 1.0)`, Stan is adding the appropriate terms to `target` under the hood. In the case of mixture models, we need to add to `target` explicitly. More generally, you can add any terms to `target`, and Stan considers these terms as part of the log posterior. The Stan code below implements this for the mixture model.\n", "\n", "```stan\n", "data {\n", " int N;\n", " array[N] int n;\n", "}\n", "\n", "\n", "parameters {\n", " vector[2] log10_alpha;\n", " vector[2] log10_b;\n", " real w;\n", "}\n", "\n", "\n", "transformed parameters {\n", " vector[2] alpha = 10 .^ log10_alpha;\n", " vector[2] b = 10 .^ log10_b;\n", " vector[2] beta_ = 1.0 ./ b;\n", "}\n", "\n", "\n", "model {\n", " // Priors\n", " log10_alpha ~ normal(0, 1);\n", " log10_b ~ normal(2, 1);\n", " w ~ beta(1.0, 1.0);\n", " \n", " // Likelihood\n", " for (n_val in n) {\n", " target += log_mix(\n", " w,\n", " neg_binomial_lupmf(n_val | alpha[1], beta_[1]),\n", " neg_binomial_lupmf(n_val | alpha[2], beta_[2])\n", " );\n", " }\n", "}\n", "\n", "\n", "generated quantities {\n", " array[N] int n_ppc;\n", "\n", " for (i in 1:N) {\n", " if (uniform_rng(0, 1) < w) {\n", " n_ppc[i] = neg_binomial_rng(alpha[1], beta_[1]);\n", " }\n", " else {\n", " n_ppc[i] = neg_binomial_rng(alpha[2], beta_[2]);\n", " }\n", " }\n", "}\n", "```\n", "\n", "Note that I have included drawing samples from a mixture model in the `generated quantities` block to get samples for posterior predictive checks.\n", "\n", "In addition to the `log_mix` function, there is some more new syntax.\n", "- To add the contribution of the Negative Binomial PMF to the log posterior, we use `negative_binomial_lpmf`. Every discrete Stan distribution has a function `_lpmf` that gives the value of the log PMF, and every continuous distribution has a similar function `_lpdf`. They also have functions `_lupmf` and `_lupdf` which is the unnormalized version, computing only the terms that are necessary to add to the target. (Which terms are chosen depend on what variables are declared as parameters and data; Stan automatically handles what should be included.) The arguments of the function are as you would write them on paper, with a bar (`|`) signifying the conditioning on the parameters.\n", "- In the above, I have specified `alpha`, `b`, and `beta_` as **vectors**. A vector is an array that behaves like a column vector, which means you can do matrix operations with it. It also allows you to do element-wise operations. Notice that I have written expressions like\n", "```\n", "vvector[2] b = 10 .^ log10_beta;\n", "``` \n", "and\n", "```\n", "vector[2] beta_ = 1.0 ./ b;\n", "``` \n", "The latter means that `beta_` is a 2-vector and that each element is given by the inverse of the corresponding element in `b`. The `./` operator accomplishes this (note the dot in front of the slash). In general, preceding an operator with a `.` indicates that the operation should be done elementwise, as is the case for the `.^` operator above.\n", "- Note also that Stan is smart enough to know that if I give `log10_alpha` a prior that it needs to assign it independently to each element in the vector `log10_alpha`. The same is of course true for `log10_b`.\n", "- To specify a lower *and* upper bound, we use the `` syntax.\n", "- Note the `for` loop construction. `for (n_val in n)` means iterate over each entry in `n`, yielding its value as `n_val` within the loop. The contents of the loop are enclosed in braces. Note that we could equivalently have written the `for` loop as\n", "```stan\n", " // Likelihood\n", " for (i in 1:N) {\n", " target += log_mix(\n", " w,\n", " neg_binomial_lupmf(n[i] | alpha[1], beta_[1]),\n", " neg_binomial_lupmf(n[i] | alpha[2], beta_[2])\n", " );\n", " }\n", "```\n", "Here, we are looping over integers starting an 1 and ending at $N$, *inclusive*. You can think of the `1:N` syntax to be kind of like Python's `range()` function. However, unlike Python's `range()`, Stan's range is *inclusive* of the end value.\n", "\n", "Now that we have our model set up, let's compile and sample from it! I will use the `seed` kwarg to set the seed for the random number generator to ensure that I always get the same result for illustrative purposes." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "aabfb49c4fe44e8b8189be393c9150ad", "version_major": 2, "version_minor": 0 }, "text/plain": [ "chain 1: 0%| | 0/2000 [00:00\n", "
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       "                        log10_b_dim_0: 2, alpha_dim_0: 2, b_dim_0: 2,\n",
       "                        beta__dim_0: 2)\n",
       "Coordinates:\n",
       "  * chain              (chain) int64 32B 0 1 2 3\n",
       "  * draw               (draw) int64 8kB 0 1 2 3 4 5 ... 994 995 996 997 998 999\n",
       "  * log10_alpha_dim_0  (log10_alpha_dim_0) int64 16B 0 1\n",
       "  * log10_b_dim_0      (log10_b_dim_0) int64 16B 0 1\n",
       "  * alpha_dim_0        (alpha_dim_0) int64 16B 0 1\n",
       "  * b_dim_0            (b_dim_0) int64 16B 0 1\n",
       "  * beta__dim_0        (beta__dim_0) int64 16B 0 1\n",
       "Data variables:\n",
       "    log10_alpha        (chain, draw, log10_alpha_dim_0) float64 64kB 0.3836 ....\n",
       "    log10_b            (chain, draw, log10_b_dim_0) float64 64kB 0.8141 ... 0...\n",
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       "    b                  (chain, draw, b_dim_0) float64 64kB 6.517 29.36 ... 4.394\n",
       "    beta_              (chain, draw, beta__dim_0) float64 64kB 0.1534 ... 0.2276\n",
       "Attributes:\n",
       "    created_at:                 2026-01-04T07:24:37.205931+00:00\n",
       "    arviz_version:              0.23.0\n",
       "    inference_library:          cmdstanpy\n",
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       "    arviz_version:              0.23.0\n",
       "    inference_library:          cmdstanpy\n",
       "    inference_library_version:  1.3.0

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       "Dimensions:          (chain: 4, draw: 1000)\n",
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       "  * chain            (chain) int64 32B 0 1 2 3\n",
       "  * draw             (draw) int64 8kB 0 1 2 3 4 5 6 ... 994 995 996 997 998 999\n",
       "Data variables:\n",
       "    lp               (chain, draw) float64 32kB -1.597e+03 ... -1.596e+03\n",
       "    acceptance_rate  (chain, draw) float64 32kB 0.9272 0.9447 ... 0.8447 0.9545\n",
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       "Attributes:\n",
       "    created_at:                 2026-01-04T07:24:37.208542+00:00\n",
       "    arviz_version:              0.23.0\n",
       "    inference_library:          cmdstanpy\n",
       "    inference_library_version:  1.3.0

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\n", " \n", " " ], "text/plain": [ "Inference data with groups:\n", "\t> posterior\n", "\t> posterior_predictive\n", "\t> sample_stats" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `arviz.InferenceData` object has two xarray DataSets, `posterior` and `sample_stats`. We will work extensively with `sample_stats` in future lessons (and find that they are crucial for checking your sampling!), but for now will focus on the `posterior` object that has the samples. You can look at it be expanding the `posterior` view above.\n", "\n", "Note now that the `posterior` output is a bit more complex. This is because the parameters `alpha`, `b`, and `beta_` are vector-valued. The entries in the vectors are respectively indexed by indexes `alpha_dim_0`, `b_dim_0`, and `beta__dim_0`. The samples of these vector valued parameters are then three dimensional arrays. The first two dimensions are the `chain` and `draw`, like we have already seen, but the third dimension specifies which element in the vector.\n", "\n", "Samples are selecting using xarray data selection, which you can read about in the [xarray docs](http://xarray.pydata.org/en/stable/indexing.html). As an example, to access sample number 478 from chain 2, do the following." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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<xarray.Dataset> Size: 184B\n",
       "Dimensions:            (log10_alpha_dim_0: 2, log10_b_dim_0: 2, alpha_dim_0: 2,\n",
       "                        b_dim_0: 2, beta__dim_0: 2)\n",
       "Coordinates:\n",
       "  * log10_alpha_dim_0  (log10_alpha_dim_0) int64 16B 0 1\n",
       "  * log10_b_dim_0      (log10_b_dim_0) int64 16B 0 1\n",
       "  * alpha_dim_0        (alpha_dim_0) int64 16B 0 1\n",
       "  * b_dim_0            (b_dim_0) int64 16B 0 1\n",
       "  * beta__dim_0        (beta__dim_0) int64 16B 0 1\n",
       "    chain              int64 8B 2\n",
       "    draw               int64 8B 478\n",
       "Data variables:\n",
       "    log10_alpha        (log10_alpha_dim_0) float64 16B 0.3036 0.7158\n",
       "    log10_b            (log10_b_dim_0) float64 16B 0.9057 1.517\n",
       "    w                  float64 8B 0.1839\n",
       "    alpha              (alpha_dim_0) float64 16B 2.012 5.197\n",
       "    b                  (b_dim_0) float64 16B 8.048 32.85\n",
       "    beta_              (beta__dim_0) float64 16B 0.1242 0.03044\n",
       "Attributes:\n",
       "    created_at:                 2026-01-04T07:24:37.205931+00:00\n",
       "    arviz_version:              0.23.0\n",
       "    inference_library:          cmdstanpy\n",
       "    inference_library_version:  1.3.0
" ], "text/plain": [ " Size: 184B\n", "Dimensions: (log10_alpha_dim_0: 2, log10_b_dim_0: 2, alpha_dim_0: 2,\n", " b_dim_0: 2, beta__dim_0: 2)\n", "Coordinates:\n", " * log10_alpha_dim_0 (log10_alpha_dim_0) int64 16B 0 1\n", " * log10_b_dim_0 (log10_b_dim_0) int64 16B 0 1\n", " * alpha_dim_0 (alpha_dim_0) int64 16B 0 1\n", " * b_dim_0 (b_dim_0) int64 16B 0 1\n", " * beta__dim_0 (beta__dim_0) int64 16B 0 1\n", " chain int64 8B 2\n", " draw int64 8B 478\n", "Data variables:\n", " log10_alpha (log10_alpha_dim_0) float64 16B 0.3036 0.7158\n", " log10_b (log10_b_dim_0) float64 16B 0.9057 1.517\n", " w float64 8B 0.1839\n", " alpha (alpha_dim_0) float64 16B 2.012 5.197\n", " b (b_dim_0) float64 16B 8.048 32.85\n", " beta_ (beta__dim_0) float64 16B 0.1242 0.03044\n", "Attributes:\n", " created_at: 2026-01-04T07:24:37.205931+00:00\n", " arviz_version: 0.23.0\n", " inference_library: cmdstanpy\n", " inference_library_version: 1.3.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples.posterior.loc[dict(chain=2, draw=478)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you wanted only the value of $\\alpha_2$ from that sample, you would do (noting the zero-based indexing of xarrays):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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<xarray.DataArray 'alpha' ()> Size: 8B\n",
       "array(5.1970448)\n",
       "Coordinates:\n",
       "    chain        int64 8B 2\n",
       "    draw         int64 8B 478\n",
       "    alpha_dim_0  int64 8B 1
" ], "text/plain": [ " Size: 8B\n", "array(5.1970448)\n", "Coordinates:\n", " chain int64 8B 2\n", " draw int64 8B 478\n", " alpha_dim_0 int64 8B 1" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples.posterior[\"alpha\"].loc[dict(chain=2, draw=478, alpha_dim_0=1)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you wanted it as a scalar, you would use the `values` attribute and convert the resulting zero-dimension Numpy array to a `float`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.1970448" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "float(samples.posterior[\"alpha\"].loc[dict(chain=2, draw=478, alpha_dim_0=1)].values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While xarray data types are quite powerful, it is often more convenient to work with the more familiar data frames. The `.to_dataframe()` method of xarrays is quite useful for this purpose. It converts the xarray to a Pandas data frame. This, in turn, can be converted to a Polars data frame using `pl.from_pandas()`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ "shape: (5, 14)\n", "┌────────────┬────────────┬────────────┬────────────┬───┬──────────┬─────────┬────────┬────────────┐\n", "│ log10_alph ┆ log10_alph ┆ log10_b[0] ┆ log10_b[1] ┆ … ┆ beta_[1] ┆ chain__ ┆ draw__ ┆ diverging_ │\n", "│ a[0] ┆ a[1] ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ _ │\n", "│ --- ┆ --- ┆ f64 ┆ f64 ┆ ┆ f64 ┆ i64 ┆ i64 ┆ --- │\n", "│ f64 ┆ f64 ┆ ┆ ┆ ┆ ┆ ┆ ┆ bool │\n", "╞════════════╪════════════╪════════════╪════════════╪═══╪══════════╪═════════╪════════╪════════════╡\n", "│ 0.383558 ┆ 0.76015 ┆ 0.814061 ┆ 1.467764 ┆ … ┆ 0.034059 ┆ 0 ┆ 0 ┆ false │\n", "│ 0.494572 ┆ 0.728771 ┆ 0.702253 ┆ 1.4731786 ┆ … ┆ 0.033637 ┆ 0 ┆ 1 ┆ false │\n", "│ 0.620479 ┆ 0.689009 ┆ 0.563716 ┆ 1.5213664 ┆ … ┆ 0.030105 ┆ 0 ┆ 2 ┆ false │\n", "│ 0.587488 ┆ 0.68324 ┆ 0.562842 ┆ 1.5254296 ┆ … ┆ 0.029824 ┆ 0 ┆ 3 ┆ false │\n", "│ 0.605264 ┆ 0.725903 ┆ 0.542074 ┆ 1.491688 ┆ … ┆ 0.032234 ┆ 0 ┆ 4 ┆ false │\n", "└────────────┴────────────┴────────────┴────────────┴───┴──────────┴─────────┴────────┴────────────┘" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_mcmc = bebi103.stan.arviz_to_dataframe(samples)\n", "\n", "df_mcmc.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This data frame is easier to work with for plotting. Note that there are added columns for the chain number (`'chain__'`) and draw (`'draw__'`). These have double underscores in their names for easier reference. This function also includes some diagnostics from the `sample_stats` group of the ArviZ InferenceData in the data frame, in this case the `diverging__` column, and we will discuss the meaning of those in future lessons." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting the samples\n", " \n", "To plot our samples, it is convenient to make scatter plots of samples for each pair of parameters. This means we plot all marginalized posteriors that contain two parameters. We can also plot marginalized posteriors where we only have one variable. This is conveniently done using a **corner plot**, as implemented in `bebi103.viz.corner()`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"alpha[1]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"w\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"96933f8d-1ba7-4a75-b6b1-9f003f9cae57\",\"roots\":{\"p1993\":\"e561cf56-bfe5-43a5-a348-eed83f119e39\"},\"root_ids\":[\"p1993\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p1993" } }, "output_type": "display_data" } ], "source": [ "# Parameters we want to plot with pretty names for display\n", "pars = [(\"alpha[0]\", \"α₁\"), (\"alpha[1]\", \"α₂\"), (\"b[0]\", \"b₁\"), (\"b[1]\", \"b₂\"), \"w\"]\n", "\n", "bokeh.io.show(bebi103.viz.corner(samples, parameters=pars))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks peculiar. We see a strong bimodality in the posterior. The cause of this can be revealed if we color the glyphs by the chain ID, accomplished using the `color_by_chain` kwarg. We only need to show one plot, we I will show $w$ vs. $\\alpha_2$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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OMIbHniFyhC6iE/jO71VIGPXiV9/RY/Lvarm0dnJXNxPNemK/gggZWCprb5x9i4c/e+czaP1Bc3LYc5thwMGndcdSjj4svXXq+N+VzIXTq2wekMyV1xq65G2pCf75j5YeN9AvraWy9OahFQ0e+03Z/Iho+Xnlp3MoE2EU/3qg1srDD3l5xNzqGCVPvCs+QcsP81MIuH0he61jVxPAxpR7VFlfKQtrWqLzqRi4fVSgbn3vNA0sfxmW6kj9ZWaGVv5GJcszIq7wcB2Q6mk/MJLrbfOFrlmsXFnctbC2U383AgK3x8nyOBfQaacM0jcKXgjuYEl4W76kZuDhksEGcU42L8WdjqZDIlawobiYssqyLaWNh8pkb9UbACWna8Uuo6LoD4QJ9oYyYPp44Uv26mk/6lOltwK4qLx2/LjmyPFWAlT3zx+xwGPAXGrMPWbPSbtBzT/q6A3/MrzJ16yH39FT6ac1+AdR/PpR8juFglGTTFTYnUudnRA1muBG4oS9TPWUP6gF6lrnABD3flM6bHPCf5WvTJ9FX3CBy3fd2l7sJFn2b0u+UxHGzN2b5rnzsXQV9fBgbm83CEKmV9RU0eI6t5/G1TZPEn0D2+ezsTzgNq14w0OdjM1esT2pF70blh855r5Fy+GfSQJ+d05/jfTL1cHtwvvdOXl+RjdsRkoUczC8ZFlTH1vwTYPKn15eEkgX6W+6n9p/iQ+dAtG0DqlkihXYEUg4vf2jab93UR4NorJOy4QfY7MDq2lezn372hTwMcSB+K0Dfa95aBTVaLxvRWyOPrgukvvX7yMJ7gWXbzAheHR3WPE2SOaVXPrl9lq4hrX5Iahcf5aKgS3SVbSiDV8UGtpCzJV0nUq6kkN1V4KZnNW8zBodA9UlQJHhzyrz3QeM2CmKXU7IN/WGgYvPTQlcwlTQrT7jSosCHUtj7dReYe3bp3e+3ucTGrhvfh52tyLx45M9SfcBAudX7F/SoB3is9+Ty3mw1arKZbC5dAUnInc7sGAeWtwsHDFwhc4y5b0RXBgKX5q/KzZJ/PuLgv7gmVx0DicNVLAQP+V3bfUL7EQF+Trb9rLAvhESaxCitJvTr0aIxjSur+9/Dn09S50JmtRr/rycTAWfXp5SQHV6lqR8VfYIGSU55U/IQHO8r9F1l0HqqrMraNGbAQfMvC904mA3OWvnV5fp3MXR+Hcq8eZoI6Xcd7M+nn98NkZOSfk1w7Z9VKmyIG1nm1qfWQeTDX1nHND3EGdMefu9+bzUDscbOCbAcGlD9sMW2aJ4/JlkTu9esMnCtLvbGVzBG1LUw/9wFSt/WeuZ5YTWBdYFaa2G2SExsW5NwlubjhSkzINVJ/1vxq6D5M5qQRpoLSQUcFNFwwaLQgn+ft14RNa/xI/YqcN81GlYC0nt2Hg+nkdXbD10ByHirUROWvk7mlJ1ymtvAMG+4BrY6RnQS+VNtpJ10VoPpclq9nEJkHD/QG9Rxlw+LwzkGeORtpPbOKZ0whILj420z1BQGtMzc5WeVsbKkVORGYwwIJrdS9p9gw2G24ZosMG6eM2HFDO7nY6OFiIHKWhQXD0l8vkbp3UZ5ycscmUi+fDExy37AAmjTXeA4T2UlJBclTBJhRV79O7hIPvJ3ts+WqSF4zHj04MFUARdfij5p6fBBeb/4cUucgPaNq3Iucj7cjIivCBggYrf141OctgYMfxoZWLuWB1h8k8p7k/j8l7M6HJP8kJDwuzf3CxbsmrbzKt6SPyIcFaTVwsdqIs/EClYvSQb/KXSo8qCk6Le0L4eGk+LJv3wU8dC3ZkcR3FiCMM2vFT1U+Svu8SpcG8ZD9u8PzKJmnR1T9KrmeBNau71C9yuOg37DcMYWcU4mz8yL2GZC5ZEWP4sYM0r+GlL8XFPGhJJVZGKnIRtxrCf0rQibG1rvklVsy8efTQsO6RQycfP3vCwM5fC++LfJpBoFnilal3/oYWH9r3pvQdUy8KJycKe0iQP6zZ4ZHm0l96vx4pvsdG5eiDRgG+/jgpf/SfUtRRNyiSC2zSTamGAW5XfQlYFl2dkv1KAte2y4NJOmQvkN/9K1BUQkN7gvezJupjJf7DS+YjJP88HVj6STJC7dnxXVGJvBxYMbXByp3yH1d4+zS94OLlj/HshnjrP/u5ymByS5ZQUctmWfK+kyi5xFwdn8teY7M82pyn1BK+uP+bfGMihccKKVkXLo4lY0LgXZ6Jh4ECnY1uCeZ8mB05qHHkm9cfHKVDvEleX0G56fP/C5SV7yLD93PYmGjk9ypk2nkXO+Lsj5hykTKjeu3jUjOsDBZecNLVYDaqRoni9dyUJT0t+g8mWOveDwzVyV9Y+MMt0X8FWzQ83z/JqSRuXa/8kR/PxtaEdl//7iwERiwIbFzNwfR16NVxbXJnOuP24u1OIh37idOkHM+b4DouVXChIz4Ge8+SxZo7MpzR0hOS2+n+kSMkVzha/p0eR+BhXNOCTovM+GnyfyykfQTmKkYH6nl4dbqP3cuiQlA9z692iKWh+GsrUUdi7gYtfxwcj3pJ5FTnB/+JXWE/fndwBZxHj7OzEpvDFeC2KiUtrmfElK0u3S44VPwXXoyaXWNAJ7FUpe1lXkw1/UbuK9L9tvDUm9cmo33w6JOp7bz8EJEzND/FQ8n1qbusyD9u/xmSWhVkQJ2rPE96hwhD5WUy+/GZUl9t10582wyC/aPLmWvIXNDyn2RdefJvOlndn9RYg0BXD42fUiKrIMIZZ6HIQHdo1Ok7Ekfdewt/5FWSOqOXGbAtBICm/YdSia2Ejh2vX7s4WYCUzgr6Bt7OVgV6/prcCYH05b9XPeA5NXglkLjcQEXzT+uNKw7RSAqVErdMISFlkqXhacNOOhZHXzlBMkH6YPdZttJfaJsWXvl98AUTIFCnu1ZZdxXYQmuL1TF3iXUjpd+HGxcsZprO5OLPMXIvEc6JEd9MhQPuEDq1Fu1rbwIAlQr7+80kg+daiY3iZ4n+Zo5fWFpFgdbgi2mquXIYylv74TTc3no7fW9bjHOxuKN4+3Wz9hQHLr8dGcmG/62fdcKyJzpkb6Mn+7DxyvNxTeoc7m4W3Wgiz6di/CCL8+My7loL11p7NnHxfKgp4WG5BxYCS/FE9M4KIkMa6kxJqC6MsSf7Uag8/fU3tweApXBPdRftQRkOhMszUi/px0el1oyi4s3IWs7K96T96l9di5vkoEpaQZf1ci8fGrYy8C+lIPHn9zrePIcZJia9vycxYYo/eUZq/VkPeW/m72IYSL6l80d5S1sOHdmZPWSPKnb9tBmsSMXIZHvji0w4UKXeBu42IkLmtXTM0EtDDyfnBM2/EoeU8VKB+hRpK4cclJ23s7Hb7U6n10FXBzwqYh89JyDgYSkfuU60m+P2+/QJPu+0d9RS43MWzfFLLe0kn22r5qa5rSQBfZd5q5XCxjYy5/8NvMoE7Jzyku0SB9U6GueofyYiW0pp96OVLDwev0XSuBVAq89JhfLkjnrH44WxvARbOtX/uoBD5vqG41b1dn43tS5fXUM678cyOAhK0hw0zySg87aRRqnr7KRt3zWEIvUtX/jKu/DwY68GdTL9QQ8l8wb+6NKclvA5u05rzg4d3iPn/QwgR1+z7A0m8CtddsvF5F6pLTpcpWA5MuNd/w3ZZNcEhJIdvI+Gy6vE464eZA8T8q7zgwWTIwUF7ucJKBYL7IDakx8yNpryf/BQrnr7i57FwIm0pJ8FzkC0+J1/8gxCFjMt35gJsPFh6Uds70aOPC6u3ZlFJkzH+RdWKImzkHz6fXz69ZxYMbim7/vJdAy/fLHJZ/J+Zo/9+SwvwJU+BnXK0j+jS6/HjxK6mvQqHjnE0Uypz/y8nw7nczx1Stvpisx8TEless0fzKnEbmTNmWknxqe/3BkLgGDua5pfyIJFK/oyAvZL4cdt+9MnXpGEcscwiT9whSxpq9d5scTLi4WzOqIaOHi2vdZ3IcmbAwonVcsIOsl5+zUiWccmMQ+DFcj89yJcl64zCUO3Dzu/N7twMR1y6SWXz8Z+FDVzHdxYuDaR/rLIUMWLpZR0uZvY2HgsEvymnhSb18bxdleJutm3qYfI0vm5o3xmtVmPEhqOr5FPh9NX8r6d4uycNBjYUDIBBMXO7Z5Bs1nY6putYKYNhtRl10ql6mycP5SWFRBIROViw7NtyvkINLsyEyvhwxw5F79USRzhJsB8/zUFgIliWK/uUcJNF/i5PRwOFA17rA7S+ag6N0W2axQAu+fsEJlP3Nw/tvNP7t4bGjGr1vxsI4FNYmxmDmy8tAoDY4bbZdH9gr/QGYwEzea0oa9jrBx9a2hTl4YG4sm93y6Ss6v+7Lzr2/os+A3rz9PsJyD4Tcc5nYtLjwXzuqqUOXiPbVt6tpbTPzY4uq4nMKFRxy/7GIx6bNBkdsKDblodUl/JubAxTnThyIyrQyEP9vwIJ1PIC/eN1JPlPT9bg8NcUsGcl8aytps4f73c2R+ynG+Nuxyhrzffy8o0kjd3CCbnnuC9NdUI4oLma+dswwbDCxJP8lseiptzkJs+JUwUXK+52fc0qubxcfTlk31BqRvM/f3zbY15aPZseCN2Foe7q8zDVqxmIeO/Fb/48U8uPTGxXxYxofTxEdi+n4FiPpwdbgPyDruF+XPqiKw9cIrg3EZkkdSVFyYu9hYOG4W2PyvrlvlstuWcFF/hEjeZMbFpmiRaBVJAdSMr/c12PHwYZk9hV/IhdQPj74IMtd6dFzpjLjOxYK6vWVfFASo3F99f4+BAh7pH2KM3eSgLzt1MCKNg1Q71v41Z9mo1vnccYLMv6ZfK5IvL2fCR/HcyOa3iohMaKgouc7DfBG7Xd/IHLmH9mLHrwg2qHPtbs7IZ0PnWthtHXMGho/ta6CQP3fwZvZy93YWqNYfSoq2Ebi/qmQrpZSPqaNPmAxSr8Rt/alWx5mI/9IhEruSiX9xuOUyGyMGextS5xOgf3Ko6FjGxqwX3ge1bdl4NZBoF0Xq+2018c7t6SzsTJZ/37Oaiw7Hi39XkTld+/mi2XvDWfj2NDbTmdyPR2q/vzqSPt3Za7su+DIPZ5askmHXkL7XmZkrSup5VWjbQGMBD71h1Zvv/+Xhx00Xh4giFkqmBNZwrDnwJW6qZexn4ffcY19jz5P/3rLdP7+R+YayU4xdb8zCsbBfyro+bNz68TO3W5UN/ayeO71UNrg38vIUyTylH3J0uOEcGyvJNWasEqA/O3d6A+lzdy9pGk8J52IkYteL8/5c6HU8ddtex8GeOfMWzY0mdeFWmK6JKAfypc1jX0jdLz2bKLqf5C8uY9K+k5yXB+mrkxNNONCdd8dkeZ4iIpJ7u6dHkHk9SePl+34FRCjOXK+WQmDY6pjkWpKPsxxOXrl7golBTrHZt7dkTrF8vfHnTAKHTKxKgudw0C2RS9cpJxCk/GKXyw+y/5ctn5kMCNDN3xYb0C5A4YF9V9avUMaHxefPzLkyBTpu7G/mFVNApsY9W9+SfZi9+9T3ODYc9GxFPmST+0fc+zh5gIs9/x7UngPiX8AK5fz3PpB8rthD8QaJIgSywgZ2viXr+2ZOys7UeSQfaSf5ntjExLvgpJ0PnpLcafqk6UkwH1WPCyP4dSRnT6lnptUp4ApO/fr0WwDNgNUGQkIBPiqXJJO3czHb7GTjyzQGrn+9qvYul4sMp5zShhk84PBCf/lPXAR0VG3dS+7XkR6TBwsvkj7FKSIOnCd9rWWClRvHR7vYVcpUkj/met9fOC2EiyU6LxLrUrhYVJsiOHibwO6hFc6pugQSw1+/v97FRuHJ3ymHyXotS70b7XGSDY+lx27uucLGVnOhwhpy71q/rFnQfYiNHeejSycUCVSbvH6TL0bg+Us/6hJ5JnRfRjf8MmfiluzyrfRIJqySlz5+SfKv/6KOs1rPWfiQvH/dX5Lz5lVfUd19WxHVp7qkwqwVoa6m/dsvidTVOc+0GIFkzsCq8ugoDqTTygrvlghwrfnOvK9H+AhYLP3joQwfeC6rYE9+Hq/IsmXZc3E+OWC3lpMitpfUOZ3SVoDG1pe6YocFsHJQ8l86xEdv93PHnZ95iP2uYL+Y4ENSqOn/9Q/JY+2LPHyTyP2yTbl1J4eca1r+AcYwuRc2J+fl72Xhr5zomyaSL2v6Vr0LYhOofRViWvaLnAe1MGczIYFTcXVcuxukTu51je6JJSBnmeY1+oPAYkHQ56mXSE4JdZcQecDA0JJrS/Z+Y+Gr4NPCJnKPRHOD/uz3UMTKPTtoX8m8dDHnDj2nTRFOHi3qTd4sFHm0n33tqYJfW9QHo5mqyHqz1aZ9lwqutl0Uzy9Shb3KhLXKAVXMtTjS3GDHhUzBlO0HaxSB4btB7w6S/BHxt+SACR+upvkvszcroKf79mxOvgC7G1+5G3WrQL244FcBycc6vD9n0i6ysf+ryEiYDh8XzwhZGXYCjLR/vy5dwcdoRHUUx1iAU79/L7UsE8CpKMo721sWBrEfDut/lENOwEh8hycDdXEaBWH9TPgqbY2L6mLi53w9yc+vB4WjPhsvExaDwlutrPGj75kYT67LTm6Vh+qrbdaf3g8LVwZ9/HR045Dwz077ncdG+oVLDuhtfjQ0JCS7fLn/GAHXVUmprmJk/qyy5qwlud/P97n1RgYND65wpovupeG02wpqHI+Cu8kVu2a5U3GPWX1oXSENnOPH9gqNJLD8xrjC5DsRUHsPyn4rkYSlTbBCyE4WlhtnbrhSMiZs3bXZKWQdAwlzfOU+VkmhzNDlrlMaDTFP7xya+YGGveK18XqaNNDFJpmLaXKY1iiZkRMwJoyKsL2521cERwatGlO76MgpPXhSoCEG1UH3Fb5yYthjYBX4vFAaqfd+G3kekUWETG1h4kk51Ar851fbyWHhemwzXkXW49jSEByggpaWOLPoHg3b3opmJ+eLg1R1h+aF4thsdqOz+5YkXN9P+Bt/oCDJO9F27WkKZnZtC7qwXRRRNtnr+sQp+PeaqvoQBV78b9sWHKdh/cL4yN9hFPhxQoru2VBRd1BiV+sGMTjLb9Q47CaO4N0n5X5405Cdybk/dFsML+dOzp95lY7k7h/EdwsRxF2ur986QoWJ+tr8dh0RTH1ysaZoybhwzwGx1meVo8LIdwYh5pcnhPk2E9lHt9PhQ0v7+bWYjprf0nbeckxoSud10hmy+P5szZx9x+UQm564sNmDjvrVCxu6CAq81z1b9EZHEtnb3axXkjxyW1tdg8pmos1wg3VUpSw2qwruDTuMCO3+LbY3gbvrEmgeTuNC5Z7MO9qKY8L/40T/MeGxsrn5636PC+N+MJfPuSmC8RJZebE+aZQarTzQOkhFqfu6E7e3DQvzN6xeOiw+LExfaiutvnZYaMNcVT+8dFiYk+DjL0icEIb+A3qnfqFPQFT5uof9Qkq/57t9gVL/cd8tKo7vTY/49ZuC3s7eQvkXdMyYtm2Xt4MUVPf+sI6xpIM1J87R65kkvBz2nU1fwsIuO3b7dDoFF4uLhiuPiSJircryz5JUFP9cG3amng3ohIs8IPPZ6do9LpKfJVGfuKSNWi6BpF8Lr8roSSJ0MqTlgSQNQTur/E4Gi2Fw2Mgq5h25h4GM6JZyDgofn/zekETqdodga7AEHwtepQxqGlBx8DhL8/RbCs57fV+z7LAkbnU6J7zYLAPhT13PnXLimNm+aVtgLxUPmBEji45SUKy0dP1MFRoyFGvZqctJTokrcW7KYsPyirjhzHAR0Gv8R+ZOFcWxGfKePqdEUJh7nf/ak4k/2S1RZ+6PCAc/fjl7ZtqIsP3WsjmGS5lo9lkhV2cvhsqMG3ERmZLoLt2ZwqVNCP2vF83XCqSiKoo2L1CGhrFVm4vP7leC6UrZ6f53x4X+6fmqBVkUqGcFR8WROnFug8cq6Toaes0+BFLnkrxz/VtgEZ2PNtn4y0fJnNU8o4KSt0YGa26FL7IOkoG1y9XMm6my2P33DK2hSxphy3JNT8aLQ+PWrpCXX+govd5x33SuODZVXmv9fYICyjLP2ltcKk49bZ0T7CDzH/erU+FaqFaxKEQEZCr7rOQjgsX/hHSSBeHTxuKoRhG863YQfZAhiu7+bEqTtjgWvj6rkfSMglQSZ88NSGH0rrbF/kgptNP2n7W2YUFb8cdBH0k6Vk5UP4kaJ++jqjJE9Q4Hd8p0hOFeU7Dg9L7Hw+qqeFj3If9ONhfz4h6vKdfnw/nQhMePWDk8bFp+JCVGCe9v3Xu557UK/rU5l/x7ayNuFgcUiOBvq1tyaZoEfqf2Xy62kYHiwAdFxmIZSBemrfd2EsOqRUetkxIp8A1uOzx4h0Bp9pOAfbl8zEgVOZe+URG1NLzIW6qAqtZ0F9trFMxqLWaVvqBin0Wi5DwLKm66pVFip1LxfI74XMVIGg5+Spv/woiOHmHih8uv5HD485pnEmQui3De+pHfLAbiwpm4THsp/GuDtjIF9FnaOyNKZHFs8O6jTbXS2D5YINL8UhJjPAmKh6MEnpuH8ix30dG/MaHL2UEShm1aBuJXqNjVlUm5yxHHUe0XH7dISGNF23lvv0bKf+8LrSeEkaketSLvxBFOnRRhVFNxbjr18PlwUu/qdmSkPR4Rlm8wiYsm57tbyffk+TcUvGNcu55TSM7PM9q5TbfkcGqOSjZltzzqP9B3C/dIQzfGyCRjnzTunSj1UIrnofCsofoTOzZcq6SOWHzl4codw1kGNipY/GjiV2OAJCpnROtQjKSQtDd41iLSLyJU5m633SKBBr2phfPqROAf2p1nMkUG2/f5xVIGxXAmPtCt5yYVg56He0Kax4S33ckA00tHjHHX74/LxBC/tjDaaZsEVNQVb471S2D6Fdu5gjARyM7ZKlLSTYWL47GTR6XE0FR1+1vvMlE8+3jWiVU2Jnw/+ZmlnjMuzKS4LY5sGxNq5uV27H07KZza6euxt5yc66H6BSttaTDNeZry2J8GF1dfG6UcKXj/3X7wLUMGZ1orxpMviMOuZ6N840dxCFRnPxiLmxCG07Z/eGBM5vxHzzXs1ktjSWicjBhLBgEuQ4+GdcUhFyhnt28aFRWLAweal1Hx69y0vp3mFDjO7DObt1ECzZ6ped3KLNg8j1rzoEcapvTZrm9MxVDydl+zpAXlP32rHBQOL9ZbnfRHFCcKiooFUmysiVlSdGBYltTB5v5TFbIIfPx00/tWKjLfXP9M3UjHhSirmVtiGXi/wWfuu3BZ0KpyNnwZJ/ffNHO/WLoMeiKNDfazxJGifWzPha0E/txXGO1awoTR1XXHvtyn4pur1azXiTSYPwuRX3xcGraHXrR8DhWH+FPpBfu9uRjmzrPoGCL7asXaMGBPQ/9368D9r0Xh6V41+8dWKkJH3IvtvGSh0bRI/vhFKURl53usF5XHAYvh7tENInhwa7qJS6UIHv8sib5yQhR/LcnFJ+f006Llfz8y2Jj42fpIcysdbxrtuq1+MWA3FuV4/iADPFXFY9lPpLCI1n4/IWxEGJL0PGim/ahwSU2mfn6kHJpt3E2rU+RwNPyLqFS9GEJn7Plk91UMH+Y/eBdA6n3wcMJI/UxpsGYXFUrTaPDckvVxmTcFtIXH9e1PiqK6cu7x1XJUPKuUW3Rmiyhqqi6fsFssiT8h731fJFAR4+38ynIjBZMffRv5JpKo3TTr/AsGuVcX7LXbL0ni5XjIrFU36bj1sMg4hErHpJW84p6ZdPTeeutdxKSD/TFhq9YsUVyJ4P+sDxoRrlE6vEoqTA7GtMy5u1/LIlxnUciNP+PCY+PG5SFNYtAh41H4J1nIxz6tLJonh1+hFQsclKShYGEjozfIgauly/ykeYrI2p1b47VJDO+u9+hoGktC4rKSs8d6KbTyyECmwsDj4xHsPQMDwrM7StqjbUaF245qdk9RGBU6vNfIy5WaEK6faiObRRsResxcPq0jYEhYHhg6+X7vkNBAftf927WDwtonolbF50Th+OzP0ou7RoT/jgV99J0UamwzlCqWFsFVq540v/3jwtLnfTXlN0mu+QdKnySweiLCcHuZBCzi66qfHqDAIqCm1JzkYnavSY3nFjlodCbfmzkqjSY1sfAUUveG6Fb7GMZjQu7SSNdK4bjQrdFB5/XGEeH/ndd0GhW+V+hZUBsxKrxyP1+OYI8KDToLDVSDR4X0tTM8+W9Hhffzi5zdfMeEtTzTV6PNo8Icfc3WbPNR4fwfgtFjO3m4wJxW8/2LKJRdn1IPfpLC2/Pf5AuWkXv4We/nyo2y8LLJ/C6nJYNw+ZIAzT4WboSeHGySJLnkvLIFX0scfW+Mzd8JJdAdfl2waJ843O5n3PGUkYbki6SlReck4fgg2Dr9mSx+/9SbPfaDAengJZfmkn7fKB/sJnKOzKEcE9uROxTYm7kw9EWl8G2FUkXhbFHMGYuuCLIi8+viiUd7PEeER0s+dlfkDAvtnfUetPpJo+6zy5Rb3yQw5L+lQOMbBTs9ZF9qNVEgEuV0IyCTDrui+9Wej4eEuaFDiVKDw0LtQi3pF3ZSiIu7l+HSRO7T0eex9mEyCKXwFJZI0MDfl36cZySJtxT5rZ/2S0Bc99mlqZBGi0LSmZxWaXyLdRael5PE801zD0TT+Fg7/FN5+uFx4XigyxXdHlHUx8tGLNCWAdNPwn77gCRUaoJ3cDSY2KFlY2MdLY8fK75t+kUl817qMpvRNHnsFR14k/dCBriZZWJXIIu8X+n17hWkPrNP24+QnKt4Onb/zikUiDV8a9H2FsePsw8Vrh/lw+1sVOzhTA7iDPYp8Q4R6Lw/dN5YeVRY/4dzvOvGqLA4/+AHh/njwiuLNMXH94jB5cudH3bG4ni9Kt7+Mzl/zSbnH8aQeUN+QQej+7sMhpSKLKhF8lgzmLL5/GlJNKbk3n/bR8fTGQJLA/8J4dLsldmfksWRwRlwkiqUReRu/eBSVwa2J55uGfAlc1Gq4clDX6QRfUjFtnwhB++O1U1aDrHgMWVB/0Y7Mi/xxWaXHKbg+vAdfbtGCdhvidqw5pUU5pWrM7UKRdDvuMxV9a0YqmMf3YjNpWLc71elQ6IoXh55ePOSjihYiwPm2hwnOck01LpgKelL+munKhtJo/aR/fBw75T/XQ920aWrr4ohYnfDAwuXSaG5TKrZPT9RxK9Jde4ZVEJG44mT59oUMKwl2X/qOcmt8oKs/Uwx+LWNlcj2SCBmTu9YkZ8sSmb7VRgRbNgObhBtWUBFYv82+pcnVOh9cIr1CqHAeHfxxlh9UUyf2rBUhswt5hX+InJaLNQrMBMif0lBxOZ93knS526HllglLWTjZ9HqReZFbHxcqHl56U0aHD+P2Ktr0PB7wRwliVMSSHvts+Th8KTwi+xj2bVcUdxJcc1I1GMg4n7tlbVt0hBX29S85oYUZP4dmKRJoS23yW7FsBiYB1wporOlIdxbtOnSGjH8IWO24zUa7h/6/e75dCruT6gtCepl4lTAxavznMQRlLejSKZTHMftctIireUgU1n5uNBWDGYvz637OiqOLT0flprpi+HQsQNKkbQhYYfcfdUwORqOG5RVB6mSerX8uEk2RwrpMtMKE/6dc/DV1Z/1QRoP9KTl+9dNCvfP8XhoWD4pFO3satmlKIqBZJH60UoaVDyc5v6xYMF/SUxdvjkT/D33P8Vf5KLyqsrmyBQpLNVq++B8VhLS7HM71H1lUBWiuu1umiheWPvJbCiRwYW79fCTloNI0+KQbVEy0P7T4H16uRx8sxT7vUn+urfE/0PuZRkYXIjv3WVKxXBs34u7dBqiv0vO/D5JcoDjl9QjUVJQSmuccePWuNB1cJ2aBl8EKziqW1SEInj6vKtXooSC5PWGxXXllP/O94hLwPzsAW7OfBbMgpyf7zSjwbBMc557iiiS+X0zb/GHhAsCLJyjLwlwpqFZt65GDNqsSvMP1xho3x5zVeoIE2XfDlJOvKDgQlef/9kNDLiEJx7VWErFkJWBdctOeWzJcTJTE0phpMPqUKkuFRLtM3fHxor+d05ZhKzzzbxSi1uy6Jz62krzoRSyNNqtFyeKoGJ9gsa9vfLQffX7WrqjJO5netwbTJbBwSG7PF0XUSyxbLgSMzIh3LzYaPjbPTnY6Azpah6hojks867PXSrsagwrKqomhYbq24tGVagY4D7ZpFLLQJLPzIS3HbKoXn3YrLyQgrLps+wMSN7iu9/9YLSJwO+TbhEe09noaxos+aXBwYbETssXl1gQk5i7R0aUgFDOaAdTh43Q7Ec7d9rIwr5wUfXqdBq4Ub1LktqGhWt3983Xqe4XekbEXLBu6BdWfXt842/1FMyxSnjT3DIFjAvzst/1qOKx5d1DC2cpY7Zn1G3xmcrwbPDyXjYkwNSEZbIrh+QwY0d//POYUaH9lBk5j6jjwp2t6pPHNTkwaov5vfcqC761mePLk3kIcQmsVbJQhmCeI/ePpQouG2yPbo8X4FCoos3Rz8rYcjanZSFEcNRrp0JDgRRk3ZV2eirToJUiev3WWjk8GKg+JtJPxcffp5LbTshDzCzN4oIBC0rz3/GGXoujuKE2xMOR5Mf6svJuSCH/+syxB2SfFYKzr5n0y+Lrz1lNLoekYK/eIFVAYUDK9dSGeXdkcEzsdnH0MwWw/t4rs3FQgIX250/bWEzoHKhxujYhh6TxN41XgyTQq/HQTFOR1B1l5tC2HFmM90tJdxtI/3eOrEYanUfin1RVyOGIvWXN391SOCc25UHqF0lEzk/U4FWIY+omfy+He1TM6J5Sv8OGCn7EWzHugCgy/wZ4ZGyXQK2hTp7eTzqq60Xn17RKgClr8vjeanF8UXooGlRKw3leds34XTo8/tjoza0Twy8yBTsWyOOMVbCH+FF5sJu8pt4OFMWWz1bzP5O5VsKoZ/JbABVsh2ap3ecmhO0pDmsnnCeF0kcsSq8dGBRatjy5/v2aNAwVFDnHTcXReyybsZPk3n+v569vZ2C0LFNrvT0FcwKPfoyUJPfPfXles58Y1DoPHn2TKoU5a6aOzT0ph9wO5U8bLorhbcqDp9+XisJXIfmzRrkYNkuFHpjxko7hvOiuiB3iuKd7RLb7pxSKfF5uPVwvB/eNN/64sQnsyus51y5gIX/r6S+bUsaF+vH3bF73jgi9N2T3b5AeER55JmP39OGAUG9O0KNFAQNC6sln6cm7RDDnpUTV82xRyMmLLS2/TO6hxscSOUsWapllL7+aiYO2f+lJDUUJWL3p5Owi9adqvtfQ3QQROC3ts7zAnhTu+SvZcbFCBMohJiONmVT8lPYO4IdNCBeeYstH6opgAfV3/mazSWFSmZe0YIUIvms7CPX3imLIYNvVJZ+HhUdviy7z7BsSpmrxou90DQrz0rcHOTUNCssyX58rP0nmqvDnz44LqJhea64QvloapRor9h1fT4cKXisakhxWtTTF+tpFOhiMiGWVI/T/5nE5HbMmemKlSF3viXi7qSZWHLEMh1efT8nAs/zwFc/l0nDc66KgYCmLNQmKO6WNCTTd6rE5EMbAOU2pU68/icC96o12tM2E8Fbj3/KhxxNCh8xNqg+OiaC00e1SBYsBI/MbFpceMXB5bWuo+Q15hJsvS5h/iwE9fzLZk/md0bZHZ/ATBes+vZ3YHE5H7I5QbrM3DV4yM/sVZUgeao2bN7JeEgHvT4o4aNNR9uMQs7xPHNXsB4X5iVQcUyAT1IQIBMe6TV95ymPC0jRMw5yBsjtXXbNUxoWffZ1mEWvGhWr6Xh7nto4JXa1quN4XROA75a3rggNSuLCdfrLOXBxzrQsFAXQWfMatnC4dZaAj+k+cljEfD0M7a1MdeP+dr3Pj/3e+tlURn6qn5kVvVsGCLydH9oZO/9+V0bLk3lACD3tPWAab5rJhMyvG2tKM5H/F7b4rrejY+k+A3en4np7bPIvMRUPshXZDfHEw3zWL2h1ioqfrz5m+K7K45megPWUbB6dmmHbsyeGDcz5xp3sTqd9GXTONBinI1369wvIJBYLeBy1xzQxcDJS6pJHJgkhKtJTXJRqKvypKZXbR8GfRyb4PhyUxu7Q/XdmD/r/r5Zr4yjfnaWj5RonJmC+J97meqi2Wksi7XTD2ccmkUF175SzJIxSYp2xqlO0VxVk1lwXDJPdYZtD1PqrJ4+7Lsp0shhLEr1KmTuwRRdus6nnypC7R/gl9DQOnrzTNJjJ5yD8edi7ZaVj47vjZpB1rZeG0MMQh7ZM0bngktboEMmG5RNG1mCeBP1m6Ol/bRJES5kCbzKDDpfT4KSUJMTS8O3zQTpeOpj/hwXfIOk2jvtPZkUZDSOTeT2UOori/5gjLTVYKyadXNc76KQZDnTX7iovE4dPjEV6mK4OSc6/CDwulMSUhzEc2mQI1ZmCIUe6wMK313MUvluKwI8dy2k0J9BeNv95VL4+Ep0dtH9rIwLisuyZrthxW3HB8t8tcFgy5y6e8HcRxN6R0Y76yLB65dX3GSREUOepoldxW+t9VdkbrZGaACOYueu/9mORlWYtzeyQdGejcF1cePCiNuLm6iY0rSJ6x+NPSdIdAYFG65JcEGqZtFUt9PiIBOmWIIkfm67GRp/taNeg4Wqx1SqKsTxhbnbNTluSneuITP9pVEm1qJx4wIuh4KDnL6skxKm6VnmYxLlDx92CF/dVqOv5ezZB40yKHwtj0n31krjJWT5C+XCcNu8r1koby0iC+6j8U+0TDoNkZwoRHYO6/g+tVDNyMSBkeF6Vi5apNPfLRNKSNcxIZAnGc9bWfTl/OQBHuLj0sysDhuUfMreKlcNT0QjTHURZUuwh530MUBP07ULWMDt/VnB9UYwpIqjo2EiSK0QslG61kmdBSvdC75SATIzFTprqmszF6pvFiRbsAtPUHmUcyFUFckvfZd1cVZbc+FZn6kXsV2nF+vnAaguZuzhSpV0OTY7/r1NOq0Pc1We+vOw2XK9euq1XnglcRH9CfzP5vby6J/n/n4qjwCzZZtt1ZFjf+fY1bNyI8FJuxtrKFzL/6gpHqNUx83VAhk6hJw/qRmOB6N0l8PvtheoU16ecq/97wUDHKzjGqmBDFvKC3Wy/PF4O3pzY9u2lEOBT88Qh1y7hQ8pIfLe/mhPCsQC7l6Kl+YavdvkSfpAEhJf7GTvF2aejrt6RJ6YvgpGEvPOYNC39fUBgIPT8sLM79frruAumT1H8H+6RAcZVWuSWg4Jb95AcayZ/1V7QeGR8m+WSHpJ1zFQ2FatsiTm6URHWJL0PCShKr/w7PmK4sje0nD+Zd+8bB62dPX5aWiaAjbIm6qasIdv0oX65jy8WMityeX9wJ4f+dX90ii2FLVfU96gxkxV370q7Oxn61hqt/JqVgpDXevENuWJiaIOEtUdQnvJb07ZDl0r/CHYGfvQvt/goV6EHrHp39KzQbU7ZO/vxXGOY52XvAZUg4h7Spyp5RIX+lRY/UNxpSfzfzeqdPCi+dc1g9VVQU36KutLfxKFh//WHn2Q006LWvj797Sw4dd5nVh1LJPOyhpfzSYkzYcXoko8Dkr1Bnyd35riv+Cv2zk9o9lhG4H/IinkKl4KZS4s+lZD/3f7y+nvNWBCMXdW0WalJQ2jvx/cRLBhrVrOWuXZND+d/NL3eKiwEpcczgDzRM7Ft/zW5wSPhuTaRjp544LKaqedpQxXDKOsjuF1Ucer3v9j9VHRTu95FlNmoPC4df7f3YMdYv1Oi/OvCoiIJ9ZIyj0CSwLXz2yLCeHPTc3wTsMZWC1KrcQMV9HOTdlK9wfC2HZW0H2WVLmTCZiOWo3STgQqbHnfmSeFKyOGEynLxfuf1fRdJFcWTipPcbCgV6L6Q6RIypCNfj6y55z4XIq7bqN3IMXAt3j2ZeJyBl+abqvqocTol1GCUtk4WY7f2jXsuZ+OU1W+ympAiwmS6ZMUoH0RokZA/II/ukeObpIBmY2YxKODTIYRFb6D29gAHis861Oj8RpBSv/nOnTgTrRM4cnxEth9SwG/d37ZSAZ25I4p1QERx7+ORdbpsYXNfxci46knmjZbOZbBsXojp1N6Z6MCCg/jLcLyELlR+da5edJvPGg1jmFBdZeEvXrHwiJofVVcedP3tT4a5/e6hqsywcGK5cHzU6ksK1jqh9JHO5Y/Lsu1piiCoSYfXqi2P606e85Rk0yOQURF9IoWPFG1/amoy/wlyre8S2RwPCXWb8/skWCs4pHE49uZXMUV+z3+sdoaHiikHo9WRxXKxqc+ucTkfol5lC2m8aZn6gXb5Gk0SLYfOSTYMsGJo7JOlJcDBi+nzvJE/xf9cFL+yCFPPHhJ9T7rTPShsU2jWfTUj9OSL88uCxnIAuhi2zv6/3ihT97//36g4LPfWnf05JGxIu/DzHjEoZEcbrPytZnUZB2qeEYIfNFBwp75+xwXdSeDemJkFXfFD477XXvM6/Qsd5oh6JVgzUdumXzLzNhPLcm80H/EaF+zrGf4W/oOLBnIoDpV9kcVRINvIF+fyPe0Q5TnRUbmr7s72GjueuPRPBG+kwPf8wJlWRnKM+CTWeAgNz5ufQ32XJo8D5rY2cDxPPeMsLilfS8ElXZMuZUTFcu9h5qspCHkUhhxrOMcl9cBHn5xbIYZtCCTv5qQzIKqho3pOGh15uY9JCAkylk7vWurMhf+dKGvMVAck0qUUfyL28uV5DueA25786BBAwIuPCjFYCh/L7qDcUOAjP8f3m9lsa7Vy/aE9ZPrYdttQ91s3DEf0kx3grNn7ufKbDW0zgFZfhLP+DjSUvK+NXHeThXa1Fi7yQCweq0cvcRVxY/3ugKC7+4bH/IdKHFNd6GmWyIVV5J83+Mxupx61HTPkEGnKX/AqUIyAWt/xSQIYMuP++QPSTRb3e074HyixkEbbTT+0m8O+YckwjgVvPZ8+LHmchbuWyK4eT/v/XuhVhTvU2LFiMOL2JJ/2PfiNxjnocB2WmJlHsdwS+fHMRymVPQTRz3YPyLSq4YBCeNHp3CvIO067E1DBh93bv0tdb+TgSuaHv7ygfptqbnpsd5IP9a1g4W0IAPS61XmaCh6ZRqdjJtzzUWk+s+JipgMVigQ01fTw4NXUYtRey0bCifcnFTA7y5+3LpHcS2DnLRI9IIVCgeOK9gPzz9/k+27NMCLC3ZiXePsqGoehix+JSDqJJWT20XxHB7iabrJUV4JdBqxJdx4WFrobXhUMCJNznbbxpQWBeQPKPzHE2MjP7PJZvJbDnUMmK635MxOtt+H6W7Per3hizdVkcrFqtuX/eEAtyeznu+buZeP5pVpD9OnK+1sVo5r9kQn7zVqkzZB8ZF8Wt5k9nYzxpsTdrKwcr9Emm43Gw0HbanIujXGQkifhwN3LQ5WPnsmeCAacKs+72zWzseKE+MjWSwJZfNbo8cwLb17h6UAZ48HR1XC6lTyD6xu/+4iVy0Kr7FeF5jwXuxzPHIx8wcEpSqzRdwEDcVcX1AYNyODBSk65ygAW9irEX2Y1MGCT/ffxKh4UP7RlHnkYRMNE/QPl8kIWq7zqxF/S5WKa6uuDjKAdS+WNTO0m+UTL7oGDZSl6NlHLn+7DBy3re7bKHB7nG8IWtNhwou6yf84Z8Hiktjp2dOpl36oM9DccITEuNPBKkzYar78DmSEcuNP4JmRTJ5Uz53TMKCQQ9lPrd9IqLwvlrnQ8cZ+NxEU0g+p6NQpGFmjYjBJRCBzbkaHDQ5npXPqNIHuIHFGyzyHmVFRyxlaxhYxX9xbNsMzZmFbSHnI9nQVLl4k6HtSQn7TvB5LWwkPRWxOjeWhZIFb07k8+Gbq+yzBc9NrKP2C0sSiPzbNzfZEsHFnhb9J+rxXNxSCFaregwG3e+KCncjWNBeOis0dGvDLyv75hxP4wNyinThH1kPx5ULD88fTOBm7OCy7SWE5Cfu+ajzx4CLFHjisPhTGhkbtu2muSFLpElc9xeM2AZ/KO/OlMJD/vv7Xk8pIrR1BPcuCgVHOp8WaIuTXJwQP5U7lOyLrWLXnxtFODesyU7hwMFODHUKDkgL8B+mlO+5y4uzsQtG1P+yYf2loCMFxJciBeMMl9/4GDp4RzH+rPkfJzuTUyU5eBb+2/vA+dZIOgjy85eZiLhuIzl17NM0KPbmmvnsf7v2FJaHROr9JV3XC9gwuPWQ7nBHeT8Lnx0YX4+B+Mu7U/pj1j4Xqn26ZM5G89SD88vc2YjQo7Gch3jY7nmhk9WvxXwpJSiOPWMAgbGVLiq1wTo+uG6KyKYwL8x3H+BQMcl0uhVp+DywYSqk04sFKVS3k5YETj1463kDRUG7jT/Ku7IlsfV3bJ1IVQmxNwubft/RZ15PJTfG/dnhjFjn32MJUoqlepb2lTuTztFKLtKRbRqIVqoVLJXIlFop0VRVGgVQikUbcpWKEuK7Ntzpn7P8/w1Ly/D3HOf61yf9+ec61y3VRgX/lPmBVfLCyDwX/jx3mYR3lpEeo0ZJoau8LnokKwaupftyH48Tw1cp/KWxavEMPTIc9jiJoaFxt5Jr8eT7/ew9triJapYWX363NMTqjCk78r0eauKVTdirnTnqECRs6ZZ7QwHvnsSZzsXqKBkEsfZP1IZG29u8IyLFKH/1d4GOSuSv6/sLBwdogaZuJkHPN6Ksd+Mo+7WIYDlGfGOpVuFWLVi35ZRn7j4+Dlwpz3xJX/3rf1VEJ+R3fGKwcHOA9SikMmqUHOc93XCASEyuWsuhh4Qo5uToL5HgQ9nTPyceZ4PenGyU/sOIXI0239Z23LgvmSRvq+Ei6xRP5/pZHH+ndtYzIH0GPfVkSSOly9xUf3AQ7xIfDHhGsnHKXJjlP14xOePt7cg45T/KuuEvZIIBtzVO0ZXibGt5cfx8jY+hjqe+r09yYesgUfLsWghDln9/Kp8RQS3w2aTd/7kIWTF8qJ6wi+8M4Wfhy+R4JDTm+R8EicelTP0ix7wYfMybCvblQv3zyFpH4p4UGx6/kD3rRpEv97Ll43m/6tjWs6HqUzwdN8/5PrHj5qm3aWKIr+dAp1D6rhgpBQ3IkEd4yROLuMixQhZHGNf/F4N+/JumSTN5cDq+pSbMsM4eB9CgCGPgwuHchRHnBFiTMsd2ccWZPzvnnmy4owIoRXKi/tVRbh6vQTjb4jxQKDMdtkkxszMqgtjZohx290ruYvNA9x9WnyEPEgve8E7HmZH2cWH1vHAfW7xtbKMh1mhldcOOvFw0Ox52NKrQmR5HWq+cVsIelbZzfljhdgvLcA2EkLQMvZyv6sQZ+wDdi5O58LozP5v/x3lYU3HtOab73moukfb/34jmW86Cm5mG/l4Zhko9MgWQfVbIzf9pQgyn2tLuCwBxKYPSvP7xQiPX1qkUibG/PB5Jx0GhNDdfiD4rZcIl845L+GbC9FgFJ5uLRLih4uxTkmwBgwjgqpkJvPxvtN76U6iN8frMm618/i4VJY5YP6Vj2WzlZaf8uTjoV6U5EUYD+bbPjWEuXCguzO15dJMMo+vXXy7LIOPiyrjPrcVckFNeLAjTqiO6UH7SnPiJaBrbP6kYyuGvPHD+ClBfDxtmuLuN1mAC5PGvN3wjI+Dj7Rme5C8N7Vo15OUCRIsUd5Km8Yhevb2jiNzlAqWtdYOZAwoo6SGs2bxZBU8Mso/2DxAdEtqlEoVETFQy2abqSDhm/2Yr/ISjP5wIP5sPR+K1T5aD+KFCKoLGNtk8L88PI6HdOvD5QPVXNzuO1Zzu0ENpXNPb/+uJ8FRyyU348aq47X8Cbt3URoQ8us0j0IHJAvU+VeIcdWI0hn3VQ2dUXMd2ac18NjIr73URAMth7Kn+ihpYWxaXFVorQYSSm31IvyIb6d/OMjOFEF6rMC8UoRVVx40bdktwheu7P75gSIkGJ2/Z1cgxPhVbn7bJgnh1vVt7QURF4E24qXNp4SYduq8esg0Ida1i9KnniP6c/j927StPNyZem/y7OF8dI2YaqIZzscIYzfbK4o8sA9WV2dPFWDRluy4xhci9Ag3ZxRslcBgR3CBjakaQo6+K8vpESM3fdvPlNUiSOZHhQzXFMHf4YJJ1ywhKjprJ80hcXHhYqOd0WIhjNOPC/sXCbGzq/JIwx0Ofp38GR94mwvt+7IB9RY8BISOWvtrHQ+uB46nrl7KB9+ox9gtlocfT1/NObCQ5N+3YX0LtTVxyia/WvxIjLsjO5/wbmlC03mfm2kQ4eZqhVfq8hwUj5uf/R+HC3XRpVt3iyVw+fF91dr9Eswp3VXDqvpfH4XDZN5ID4Yqc2AvmZzT5M6Fr7b9uYcz+djzekdhkSUfZb9j/F/s5mOrg+T7VMKNcUfN5Q10hIiv27BAm/Dx2n7Dn6/yNRAdoR29k0/yc8GVWbF7+Gjy0mm6ZkDy1blDyrGz1dASlNDK2KCGyLbL0V3P1P7V8QvF+PU1Z7H2axI3t+n51vZcDAz9fJvUzkfoULTTXcJFN+51xqoEqaL2du/+PKEKbA5tGuN4TA0rb6sncisl0N04vTdmogRJv/pOfu/WwJ/zC52MZmniyHOGcIELD5+DDnkpaQjhtO/c9Xm6AhgGDhU/HCIc1Tf50UYyv+9ZjNDa40S4xX7Ke5UmPjQ3vZC9Q8Y/PujjqO31AuyTFsIQPjW/Out6B8kzQROubout4GN6abxoJ/l/+wufHzYYFGKc7Jh+NuHfpluLZxtq89Ets6f0TiwfKT1JCv2tfPgujVJzfsLHV1b882TCV3/XtUJECDvaQNN8LIC9ua9jo1CCcXaEoCNE+DWp5WwfuR6LEn8820d8xlAqjW7MR9u6h3NV7fnoG3ZmWOZJIYJTj07S9RdC5trqAsNvJM/5nxttTXxC4lDnUSUDdYRG3j6xjcTrs7sjrfZs5aPU2PZXhSUP2VM1Z5nP5+OV5w/Zj4QDYwwXNV3NIjzO7IwxoQuRGjt5VNokLoI9WIYjQoivG7568o/rxJ8YeJiY/BDgsmrSl558wu22XfsddpN4G5IzOZ7Fx27VcdOTv4nwXinrdYmVGDY7jEvWm4sxvehoE2sK0VHpehKZh7VPQuKNdMS4kO4f8CVbgCNm4eOCnfmo3fmQUXqD6N6NKS7eLwVI8Vvp/dVegIIzEXN/vpBgpmU0Zx3xE7tWP7bUeMrF93NSA090ja5AHfrGwzPGsis2NwTYSbPf3dZP9KL1ru2myzyMSFlnZkN4eGfB2tAZamowPflfkAPR4Xlrbzgv6OShxme3VwGZd8J13zSeXiN+QuFQ/v37avBKCvhsa60GQilHXpK8tuL7w+cT5qqjY6Nw4IK/BC/tdXcsPKiOq5Oc7Hbc58CSOf3mNsJFk3ZdkPlMrvNvnbinAMfWXguODRL8yy9f+Dibm9c5NEyEopnP0pbdE0NNQ9bdaA4XT8tPjU0ezUPCKQf9azFcmN5uGXwmK8BElxTN54XE1wi7cqtI/HEMU8+pxqhjbtK72zRyv0v/+y9JmMqDdBvumY4Agy8dU44Fif6tW6io4Z5Vd/67ZZqQ97i8JSJOHYlKmiVvhKJ/+sERoK5hXMseGZKXkuujKkz58KkcrpP1luSjFOuH00i86GS84LPP8uE9QyjbSHyVI+98YrQW4Y+Pn2vHPeDh59qQVyMIly8Im+ytNYcH79a2x7PGkesYlblhK4n7gQdfM128+Xgya/6h9kgeRut8XjFmIxe79FYdu7ODi4iHr2vu/uTgrfydlKPruWCYVz3PXkM4K8Z3wHE7/9+5bcIzIZr56RVnyfyN/mVUqiTAn2nTZi0n9/PbFMOe7Nkkv8raXLJLU8O6OUOBTBPiE+fdC1R7I8Le9vVphjvE2DVxrt2WRzy0c+dZNcZxceE2mKWafBTWUZeriE4Ud35X7rJSxQ0rh9UyhoQ7iO0Jv07ia9+nmpSZXEy4Kqheo8TBqD2u6655ceDX9SHJwI4DmwcvG59ZcyC2XK2+i+RBhajVdeo6PJQRuX03jYs+083PkpdxETKsWy0ZAjylub8+p0j8sEnA7YDtYtRViJ62ntREGWVww+aDAKfYPQtvkXjJWrXn07hHArSlRTQlkvi2PSfnvvSCAMYBPE3z8Rp4/7l0aKdQAx7ShmWyQhzhZUfuID573B+3PTmOmliyPzfFXkYLgvUvah3yCH/ajSv8NUzwr29HDB+CPqHvtxI+ol8ctK/o4f2rk3UQYqa0kJXwMyfijPd/pzSgdJc+xYjwRA3zXmtnBxnPfUYbnu4l87f0mcLKS3zsc/v5fHQh8UNNKXe4Z0WwqHP4uWOpCIKqMwGBO8U4NrWgcONlEaS232C6CBP0DXiFE0TwXaI/PzVA8u9+Eh8xuH55Qhnh4bnbqnMX5fP+X7+n/Q8vGLn7iSDdNjUl84AmfQPhnwSlH0tffBeh8OiBEWsID5snz8vUVRfDtPbsynmzJXBzqHcxEKgj54nL2ytZ6jjmVFSsbM5Biu/v84ZPhGCUld256y1C0ljdbzsvclF7JjrtzUQl3FwaXlLsSrh6z2f6d+JrdnAez81jCHFuW+pnn9/EB2uE/LY0InFHklCkiI+Wr3brrDN4/+qDdYWwDLH9ybxH/O7g6ANd0/i4M/aZ+aIAAcLPDffZ4iP+t+5hJsLkyr6nvelCGGTW7a8l92twPQGWHsILFUvVL70i4+01NcfuLg+NTT1n6hh8eO0P+fqU6GOR5cu8141c5J6YG7lxphoG6TozdnNEmJ/D0phP5sPf85sHBbh4fL6K0zcBrn1bvlSf+MK5CvODZ70lfD76k40JnQelO+t7stJ5mPEotOtrNA875Us3D+wXQtreyb+X+OCL5rlcwj3CuNS094SP/+4/55FxzFDJ3VAmQoT/aa9W4i9sb9Gdti3kwi76+/g0HS5YtUf1K37zUR7/hRNrKYTRG6/SJnUB5jdM9Q7uFcD/0gQX6z4BlL9E2A5vE6JN2+de8yoepswR9zcnqiG61Wve/F41LFjT2b/XQg3OTct1/5D312zwO3h5UICl+gkbd8uLECUtbyR/73+QM3KJB8knibueqvtykb9IZ/V7Ejf6RfviNobw0c7xfVYgL8TNB8N+lzRz0PO+7UVHvSqGUq8sXkF4fvWbR+2T5gqQHhVYzSf3qby2e5HkHtEFD0ejSXs5qJ1x6vaiWi6k6UUmnQPl8NGHZpzmwWDebaEhmVeLiiKMEomejt86mnZXVQ222TKrswkX6uucfK4sEEJeN9k3gPjrRTN8mM2+Qpz1P7j5Szr5HgfqupopNSx5MN6/lfDku+ur+G9IHHo4eF24+oyLByUrkyLecfHlG937AOER4YEXDS+Hc7AydilzO9ENO97xvcYfOZCVgmOqAPzbBlcFY3iQbjcXynNhtnrFO71gNcxdEyJOvaaCgp8MPeYxDrjGrcNnK3OR+miNf88jId6bPf5Yf0yEeVfjMGIiidOFbz8W0oSwHdw80X438UHPdM4tIr73uWzTz183JTDbYnxLOU8dl36uNjV/LMLGQ21BGtlcLKjdI3sylI9EE0lRVi0fNyKnCHwuc3E3LYHzi8SrnJbLlwljSR6KWK6+T4cP9TFGn+0/ifDWqW3CK5LXfzTL3x8eyUfGt4wVRgU8yD6xe7z7Ax+sfG+2QR4fSZkvDS1HCzD7SuWtNsJVrlci7zGsedi/9nu+kOinaUJT33aif2UEk5/M5mGftKGAjQB/96kkfCSb32SbmAuQfftZ0AfChynRs6Zkq/Fw2c1hrlaJBKV7uydbrZRglbEJU3a4EMnbmJmTigUYaiWg6iNCTPTiFsMZ/+vzmSvE4aqjaik9Ipy+5zHTfL0IKdm3teYpilGT/Ga0TIQQ5ocv7qHJCLChd5qKHPk7q1l3rhpP00DM6zmffl5WhdR+Zn9SwSh7n8Bt6Roo7eOszxRpgjnSMq1zjjq4e0YdZ7iLcdzmSpD7NyGepd7ZEjeLD0frvSsVjLmQMTc6aHiHi6j8CcnexH/VjYGg6LsAc/xTVyTXEo6gn7m5djMfMw4/cS56TfwgN6JjIonHrvrpZoZE1wdj9rUYEx184NuUs1eXhxfS5SOeIvQGWBdnzFVF0jIrKtOZg4jme6n8s8RH8qq+8cg8HpgVIdKqEiApOCj5wG8ROjvjhaxhxJ8tvzn2PJODPSYNdwIJtxyZXXR1PuF64y8hKicnctGa33Lagvj6skM7p+0m8XHW4tnv4XrqcGnNE7foa4B/5KhDDvF/O27oyGWRfLS557NrSqMQ/w6SEL8374/jEwsxFHgVX2SI/z6/L0+eocDHmaF+l+eEE756Hopoe8zH3k56S9pxPjbM3BXSS3xdkmmV42cSB+ZFuY9vbedATy8mT1tHHfwrnoYDJeoweCD6eieVC/vTtx6UhQqwdVrf1XErhdgy3W3/pxY+0o2x/NwBHg4n7Py9UpP3ry5pKQ+O2jrXiqu4kNTFns5x4yK6vLhzPuHppVd+DJz4JUDJigkJoR84mOjutNO/QA1bzqeoXugW4t3HT0r+Wmp4svN17KC3Bn4sc9upc0YAT6MDhb7GQgjXH7ShuvkQ7c96eVye+ORT3Sd9Sd5WmhVmeoDEYV/SUw8/4ktnTvudu06d+HLte7EpB8Rwk5ulOiNXgiZ5ekrA9GHoC9jwOKppOBYPbe/vSNHBln0P9GbShkF6TNthjiYaFuzwU1GXoFU9tnnBMaILGjq1k4ivuPH007qCJhGsjxtm3Hwkgob04HKIGqZKFjhKFMnne/O4g68EGGU0qj79jBao/+xuaGhq4vy19wYMGU20yc1BXJgmjhXpHphUoIHgO/ej2tdL0EOVHlU+qIqIQK8J+8h9vzPpHOuNvQRqu3/OWblODZXzd2/6RuLpYJY/o9VViErWPo9+WTEuMnZsqGgTwXZldsWYFAnOHGpC2HMh1CIvXTmtLEJybs2OzhUiWIpcmK6fBZhuN8bgvnS9PmMs5fwf0cFgN+viDWK01l9TydxBfHqJ26QLHTxoHT2f7r9LgpKuW3FqQj6uBF4oL8zk4WG9TXw54b7Yl3Z8m988TNhpYeezgA877fQc2WfER/3YM130h8SBfuXWwyw+1p7KZq0n+tsv2FLwbY8Aa4PiHicQf/lx5k7TveViTGWrMfSuCzFClmJqLOdjPlvXKucFHxd/RNwYMOKiRzljRVUiB4cOxc0N/0x89PBgmXA5dbS9qvCbMqiGWI6naTmJi3deMSHflxD/1TW588VHopvL+x4XbtDEiGHfLNWvaCFJ9+DZPA0Rrtq9mJyrLwDP7cBCXTMeThWfPryQ3D+1oaDtX0Q8sKSFaMSXZE2XFqpJ9zfuHK2/K4Lpm08f+6PEWOgeu3AM0eFRuSuX320RwyzaNKdql/hff8ZITYRHusvYcIahY9W9eQOhmpjEtnJpIP4v52bRFQbxHQnH34858ZOPZtWZI47EET/XO3ldKuGFKL8LEZK5JD6/5E79+p86jKvWZLY6ivG3nvvM/39VCgk1ydQRIius8+2nJyJw60u/bwxVg54Z68JOIxGUZOmTvR6KYRW9WePELREMYh9PfqEiggvOZh+ZJsL4XZ9cE8ir5VutvXNPSpAzLWa2dbYE72VZmxrI5/XLfb62jej0jB1jJuuXCUEPHmWZe1GEgi0HtH7uUMfu9B25jv0q2FM49K31pzIOBuUETbmrijYnrztlRL8uuQ0GXrflwlcgT7cez8PqiGtFlYpczDP/+qrkOQfPXSzvD2whefaoUgezko8pZxIlcS/U0LW5/63dRgFk/EZYnLxFdElVSceXLQR1rL7gRSAPK3zf931352PH4xHySit4eOykKoyVcnCLPfcT+T0vcIvOqmQu0mj3Z3it5OGjzoy3+ivFkGi7TayIJvk0a3ZDRhjx9S2ZSXLE3/241LDDk+jdwpqN321m8WDc4PF+aQUPF04eOeZ+mw+jd/uqJU5Er2uWjK+KFWKHSviXP4QH2r43JdQcEiBzoK0wJJuP4eEptT3+QrwS5z38ECCE56OtifPKeIj8Me5SM/Ezc61LLsU0/q8/khsPuvrHrnbc4KGk3LZ5YgXhMukG6BUhXMW2s8rWCP+tcxGuXHSuscma+DbDN11PCojPP3L4UfDw/4SIXXspucpLjG2J3be6MtXgmJ90LyRXDZ5xB1+yDYUQPy/6Qw/UgLnCnGT/KhEezo4ft4QrwZgvZrOaNqrD7+SsLSOIf/HnPz1sQ/Imc415SiXh552j7k+X7+JDZvJY56OniH9Zs9lp5glNvLJqVnY5pw7ece2ARYoSsKc/PstnS7D/xq7anWVq4ONd92+iZw8qm/Pk6AKsutq/eU84D+qNblP5zwgHep9vf/JDgjmjuqoda8n1yMzeWMMQ43KeJCeum8Q9sYOpfmKUqbmITjxUgmTZ1zEh/2niD49drUh8opfB3Zn6FhLcrnA/FdtI4uvUPn+HQi7mZHFFwrU8eHwTfrXT5qH3euJUMRmn8Mczkkz6BSg3nPncWSAAh9GmZ32Cj7D7RlfGzBZg28SNYe82ivHnzepjG5oJt18Ljv3AEoEVNCNshq4A0uNTu6zUUHtkxSQvYy3oSRu9/eDgdOWlS9nP5PHgwPgFgSUMZARfHu2dMEjR3rRUDEUPUn/PgRvRYOda3HMkaZCqXxly48UEOVhqlP+ANx3nQ4+GLZ6pgmOOa3tX66oi+vHzbzlGAoxc9mVpSZ4AZk+tP9wmnG7ew7EO9+biR88E2vezDCgkvykynSCDzz9DAp6r0WGX9rr7MVsRVpkTLox2ZGFDZM7o+KsD1K3QiIq62yrglRxbr8jjYG/wbbMnrgOUTZOKZyTxZ6kzWcVHBnkYJt+4JOtzH7X6iuhKVU8/xdYb7bF9FQufF8nsVnSVw/nlei8q93JhvUwnwqmbgcU3J/ml0AepgA8Wd4ti+qhY550mqmwW7t93Oinzrp96dnHEstGxfdSBHbKyr7VoCLg40XO7BQ3H7PKeVh2RgUfXznOaC3uppclhi4y1FTEsqn7h50MM+N6O05d0MOAfF6qeRMap4J7770eNiog6MWhe6d1Prb5qp9f8bpB67tb8y1dDBrZSwD3IwIL3Y930KwcoduvauqOnBqnrR+3tX2bQoVfvYDquUgGeH7/HnbsjgzfjUhKl5yFv3Y37dX+nInRLt2/THcGB2rDz5zOncPDkJpOVN4mFd+O8Fxr5KeB7YZOP+JYy1j+JfOD1XR5RBM8f6ithxO/ZjML1Slgx8VaSUq0SjleU1c20Y+NDozjiVW839be/uqiHehurczzAoJvqXjdzxeSx3dSzhjlHkuq7KGlZXMNnRThJE6aFPKa7mnv7HWRhTECZSeJjGiaf+rjPrEoOlcGDu/hcOsxKhE5dp2iYYLJg3pUKJg5OG2O59y4bdho309/NHaBUi+9fj7g4SC1SLLl3ppyBXdIDAf1cnH9QKFB7z8GxpYrmBVO5eBs69X58oRhp9BEquqsVERLZpxXCU8CMYSNGZhP+VV+oc9W1Vw5vtLSDAm8o/+sjtpmMb+LjWue9fdTcJ0tiJ2YpIqmq2OiPnRxcrzPPVpXLQXa96yeTJgnWhpkIHI9p/Otf/JXEOz9H+/h1GZS92jTqSKQMriwdOmntLYd8u9/99vdV4bR8aJO2LOG/B4FG63R7qB7n7jd6rzqpXdIF9eQuyl3F1CAqigepfVYyZWN7cXtSuBEb45e47tUaT0fwRI/BLA8BvtbMYUWnKYGWqaI9wlkRAZEf8z7+kIGDJNx39XAmZL8tvVpNYyCqINZf76QCPvTN/5HNl4NCxfUDm58pQlLc59hG9Giu4q3VjZ/pSJw3mzdxosq/9VNlkufGsOwtCb/5G4WoaRBdkbZ5CvrAQ9/Ln4U58wgvP54jMfBXRn4ea/y2hRz0NutNVgui4fl8/c11x2m440At7rCTRWd8ljm/tItaOrD2V/mULmreeKtk+RldVEWftVA9lYPM8kfOIi9VfPmSWb/gdzclHd6104YoaRstp5m91LVn52peNTIQ+TM+sPA6iXtO2JiTXsrQlDf8UPZREV4VXlm1GXKw8fokX5cjB/vnRz06FytB2bZL97w5C0XL+/XPnWOja/Hr3dyHLOTLLrrq4szCl3HLOCVXZZB8ynX3Yn85LPZ0rTvtT/vXj7FJDrNHxY3+/ouBO1nlnm+amP/0JYqJ+6dkatWP0CHy/aYz2VYWwaEtQwZvZCCifC3ONihAWoaSeFsVs/TexTxnKuL26fuGBauZiKkuY50cLYe//TwahijrDZt0vzvQMJ4rk5G+XhUeZ9vjr9UwQDdgsHMhg9ORN9Lu/sfBYz/3PP9gMd7WHbZGEAc3183S/5LExJTAy6Il0/53fluJ9Y/3IthgR+/XijwviyqThWxDP1koSQts9BURTjDp+DZFVDQ0zJa0kXgSpihvH8/EsWGug97DWP/qD0zaqfW6z4eXfmqnJnpcoj9kDlDHWjiOm9h0RNlOvvdcjonq9ICwZkoWD85LtLN3s3Ah7+aXUjI+Y+UutbRXcLDJtPmA3kM56DaktfnnKOLX/lFKAsYAVfbLIFmjVR72T6+lb+pnoEb9h60kX+5fPzMdFdRd2hd2dZsC5g3s7mlI66ROlvweH1fVTS3YMcJmm0kPNbw4OGbrxX6q/MQqlTW2Q1RUvO7py+6y0DX8smj1cFm43rxQtvpbF9VQoPejgzFEuTTw0mTaZUG3U9aKpitig/xkxtjZTCz9+vDyu/ND1G69Qk8/ioZndmNXaxykoZZ2LjdMjw79FaLixv10DGXm+Dcx+6kYgfa5E369VH5z6VNDKxrqOEXj48/IIWq/u84sw25qKZ9mkLSsj7o376I6EStqYWPgiJ99PdSxsL0G4bI91A3B77Atfixc6Yt6vLmpi9p1ecHKJQ1d1JO4j7dKGnqpVT7X8rdU9VKTfyxxdrnTR2HDHN9Yk35q09ZdUZXrZKD+LXhfoEgGq6bTvAs9ZcHQt73DPkR4wtPZM+0bHbS/DRt7KSWvFsXvAQzEWWjdiHoti3EzD6XM3y4LnHV7KdPIRe3tc3nLiT9ZqOqrZLuSjcNnNtdOsObgRUF6xCKaAFoH7PUWV8ujWeW1WflJFqTtjDd8oePlDf0DN7mq6IhY4i7yUQHLcMS6qP/6qbGhzyaEGA9QyQlfNi8/20dFeLdoCvZ3UZFRFo2jzP5Qtj9mFEw93ka1msi9uD+mjYq6RLOalPObkm4fWNl1UxfrQuKKHRkILcu7n71EAdJh/G8CAyvdRtxjlvdQeRPOLrH8ooJCa7fW/8wVMcXqSFnLApLXBRU/J/oqY/Egc/TiRUQnic0wUaFhSXlp0c8/NCySPpDBkwGp3Yy6O0QtYM4J0Z/ORo7pGSoxj4UbNmu2/pdMOGayMPBDORsz5a9MPELyX1BxQ4uk/Q+1elXWz+UHGNju5LR7dS/tXx80Wgc1auOlKhcSH3/3EUtoKF21VSdjPR8ZZV0lf9jEP21er/XjCQ/S9v7yaxQRdyf4UHEAD+5px7PmuXZR0xp931q87aKabQMelnnIokMwc8Hnlf1UeMK9C4/0WFg8LGj8mz8s8ORSktz3qSD4ctFDxV4lmLbRRwk3cfDofHFEYp8KHm7Y37RHSwku760mPeYr46tZRv94DQaeN3uznmn3UVrHbr350qGIUWvGNts79VAFlXMvPlnURVmpKDq2uA1SMsuu2HwdR8P52YHhympD1GSz+9MS9gxRA6ut49J7BynNlVXjX3CHqP4NX270KQ1RfXNuLzu1rZ+69PJszl11Gjy89OW/3dTGB69lA6/26KCGv0hlywydf3lhSAn+3MYPXe50FE19cFlnvyqqhZqZhftEmO+6ODbnch814eL0UeXf+6m590qvjPwlhwhfvRO8s3+osa7dsbmb/lDFW+5c6LzXRonDaKsa3RTRJ2rILNZgocrQz/upnhykjzNYuo6PFzWRy0ZeZWObp6QlSUjy68Y+O9ssBey+IGBHT2CixKC40iuajXHuUW/nx3ZTcfdORAx8aaf8Nu94v/LJH8rbb5LRpnoaeOeqWWFneqn57l/fzJvST9HMX5/Z2NxLTb/y0HZe1wAlLatNJfOm875zLE8gB++uK7p6xMcm9VY5XRwpi2u6EflaJC+zzhRnVghl8eW/cS+cRjIwJcDzzp6aAWp7b+5S/2k0bKjYezruMg2Ohis4bbu5kB5/enKCg2vaIRmt+b3U5d7XE5dMGqAohXCRbfUgZdH1S0O4TAHek2csWb2KAaXpAUZW7xk4sn7LdzeSf9VPmvajQAYmuVEmFxuUsEFaaLtVGTss+h9lfmNhvmf8IkcjFrQtRhW+Jjp194/y73Q6DcvWJ0dkHOqj0n5qK5bWyEJ6THLvryHK6OmXSyaEqx8K30YfYSrD8pvpm6lv6Sg9qrymQkkGkg1BXsG+QrRsrN0dW8TF5/THLbeCZDHTzdB8CuHgGDvXsWmj6VjA4k8N7JWBslUAlRNKw43V+5MKxw9RCSahxyhfRSxsauuKO6UM6bLxmkEG5raGD6d96Keylu2vZ5kOUZ/m336ZuJwGo6k1V0ctH6SONHUO3siRheP+6rEWB7upjGVbs1LKeqlRDdofzPZ0UW2uJ5u3zCfx/4wz00+LhYmX7D02ljOJr989Jf0wF8jy66vy5qC4qqrP24AJJanBslSEdr3//lOHVGE9O9glI4+BPWdbnrZ29FKqm9S3HT1Kh8drn8Sj6UKs8O6du+pbD9W6vvlUTowMNtlyC5tWDlCz0viCjgw17Ak7zXeYRPzKvlaB2JqLO0frTy16L4eWgou9asoMxJeciN7GkIG0Lcn6lbKwyV1Q+aqSiYRkIuSr5HB6/26zSBN5zLZkdI6fz4Jr//m3MeuZiCaYsYCmihe+VkWhc3qp6qIeTw1jGaQqhJSXEx0ofV8r7xkxRB0yeBqUn9JNbVGmpZ5aKkF0VdqTAUcevjaoZw/fJoCgNOXmucEBakSrYkI38ZGnmR4zAhOVcHHCzRq/7YQzXkx7+XSlAsaPmMi5dkwRoXt91LXHqyLP897BkiVMMENzYp31uPBZptJrIFRAXV9M3t5YEl/a413mn+6nXFN8DjwMVEb82Qr9Z7UKMHUoyfs1WQEfPYr60/d1UX/z90AfteZ93ZL2OjV0fI7nnHo0HA/GPViznSnGrIyA7lIFNkRyGuGTMznYNf3PA5stDJyY8eSh0x82vrLZcU5JbHhIN6ptFECZuRcVEr6JViVE191HXXtxc0j/Rj/ldi5/TPHDHmrNjWullhs6qYakGSoPezuoDOslXrPQQ71asEVxLPEJv3ax3+z7Qf9Xf0Lu87HC2kFdTxGyp9UWetyj45FDZWrBXjq2fqDde2Ush1SdMbykQTryd8XbHX3WQVFpB3qeGDNRGPH6acE+GuwPvVPWy2Vj8wyNmktHVPAGtcragQw0Z/6OVK1noM+ur3p4KRPjuwvmumoqoNu/o/Csshwe+Oypii+Vx/DEY+fey7MhXd5/KMeCtC1n9l0l6A/OFOnx+qhz8+SPjSJc8PWD9quBXhXkv9jDMRvi/utXZaeA1nWWKxecYWNPZNXFSBtFGIe2ln9QlUVMzG4rph/hyaLNFfUrCe/GJKTmygxQ5N0vmI9U0Pg9Q/1jniLspj0qP5JAfOrVDt3GsXSckJ+Xk1zDhWN83IUMTy5cHMqnl1MCRBl+YlYa8lEYOTQy9gQbyjZhy35PkUWNSd9eCU0eCQHtzu8UaPDL2v4umuQxmS9Xnaf0cmF/kOaSP4aL4JXb5Q5Qiri1MnNMbrwqHDOSn7mR+Hvl9+rVyRt0qG2MOZEXpwJlZv7TU0mqyA4OH+bqxsHmQzJ3PefwYHfWkXvipAb+w0V5QcQgVdq+ilbSQEMyrWprpZoCSu4zl+6SPrftqMrL1Lci7PQJqzmfw0ebpZ5gixbxfUdoY91UGMjwaH1i9JKDsIiKOi6DgadlY20GiJ+76mM2w4JcT4xnlQ7HWBbiktRHD/b2UPsfTFufodhNnd2hflFhqIeau6T5U+WgDD51aF7UeEn/p+OEZ/8+v8pdAQksH/cW7x7qGu313KOXuym6x47vQe+7qZrDk79X7SG+MNlv6RLFTir54re9BwlvJDo0bpq9roMavtluMhcdlJsF46xn6h9K1KUdq6LVSa0YHDINN+qkujZFDF4Vd1NGSYP1m7a3U1brHz3ivG+npGXsJjHt1DLpBWbJId1A0Hv9uRKyGTGTt9P4MM2+5c/2ZcP7XYZJUyYLi2x110jWyOPChOVjFLfJY4Nrk9c+LzaGTag0HDEgh6I3y17V3SP+6muZ2uN8Lv5+7gEejm/krd2wSRbjxQEZr4plUdGS23l5qyzuX3Y4frvwfz7oJB2/1pRvcqgWwbmjYvIsYz6k7WWvs1QxO9vhisU7OjbmyKVuTdT49zwQJS1knGe3b9AcBr/tXx/MpGvD03qk0Dd7BNLkotqGhmjwKQppE/UQXpeo0tyCuinvP66X1OrYoLuGaxe3M3Fyy5PnFOGhzRYHkqPHKiDjbvV5tTLihx13y+xw4SE8dsGj6lAhTkeUs+29ZbEzvun8/VWycKb/ds4zpgPK+pblx+jwZrknbrqtBkFLwKptw3Sg25rNqXyphm0JjSfORqj9O+/gPEBJDKxYOQpyUJnjqTP1PRv3pvqV7rGXw6lTL5sMQhQh3XYbXMVG3FYPM4uMASpvs4xmQ5M8to9KVLztqIjhDJULS27S0U5Z72qso2Gv66N1doTjE884LKVnEl9Znv9dj/BcypZJw1pH89Adv/1pdxoXcxzrH9cvGqQalRp2ac/nISN4qPq7Nhtrdw76v1rAgMOH3TZKzcrYpHTk1jEtWRRPsaoKj+Gg2ySKNaWViwvH/A7M7KFhZJHDgkx9JczWdUqqcFFEs1L8d9nHSoiMW8U+/FAEeV/DULn7QrTrpeg38TSxyOnUgk55CaaJVkceOK2GZUXau4dv4qGzIPS3XLkQcdlVE93SJHDdYzdnzcnhWCM/5Df8vva/vj26eljYOTeaWTUcFatul6g16SB33s2NleR+/q3bbhLBV1OsnZorwMv6Nc2eU3h40jnazJPkzdyFppdWnWf875yJEPc0plAtr8XokMjVjgvSQIFuRsSdFi60KyZXjy/nou624g0tdTaumcd9bl3Dxom0XsMZZ1mgziryIsBC8wW/5OokDi52LNUWNirC17Exr2MBF+HKX5pVDQepMdXhD7oSe6ktVS2hp2q7qcM/P+ct7OLCdVjCC5V7DKjqhFvr+xCeLTb6M3qzPIKX/vgjXsjFbOnCQx4Th/U2fLF8w4Lmiuy2/2KFkLbVWjWMDt0spcuTchnoP6esEPWYi5Pa0TtdWBpgDlS/vxSpjjsB+56e7hDDP2jYvMRODpbNt64ptiR6STeTzEhVwNLV3ZppYmWk5dt4Kw6yYO0WtTvkOROcvGDrR1w5TLsfz6UtZuKz7ca5lRFyKPnlplxpIYBFdYP8qUIxIi94TWkpk+C58f2jbOI7jOXzAw1JvjOQbsQ/U4Sod41E4zoTGsrVBics5aGgUva6/CwdWaGhg+PqBymi4mfHSlgI9TqzJpJwrkeAzdoPlSLE6iWmdi3uogZG3HGgprNgbK45MTKQhVazO9qerXIYfHfNvOsKA59Zm+Zdtuyl/vZTzlWHU7I5+9kLDegeEt33FjOQ4Bx1/slTOqzMTd/VXKX/62uYyMakwS1nDIrZGFi5/7etO+tfndwNGjLczXzCm2WhUMaa/lhjkOqqyXO3GyWHZNl6XyUHDsatvS/J2Ep8jNaF1PIqOixz7qd6+IpBk27A53FwJUm3wvoqEwu0a8vH9DJwaV3Xbt9FDPz2fr0mvkwGQb/KClaQ71/902qkbDUdrj/v9qVeU8X5+WPfZRkrYsbza//5VsmjaE2YieBMH/W3D+KiHqpt9qpD3cweKrWHketh2kNZn+swav/cTVkojTw8XbuHCoo+Ou52XA/lG7fxWeeUHmprX86s9Y28f8+53DpE5ee8y0/oHqT+7g8dG6Ts70/Kdj7UT/3dn1UcoAzF/E4T4z7qfYNOQkWjLKL0Q913EZ8VadY+5UwN8Y+R9Y0jLNlIC/4SNIPM0//7Gii4uml0qxCPbgybpBr7hyp8U9ug3sOFlfvP4TVpHIR+DzedyuPD3//dnc10GRz2vGC+8aoQ1c7X3o5qV8b1UQb0+EoW6uLnS67XEv+VMWZjeh8dOoy0hvfjVPEjZ6PP4AqSj0t2Ngp2qeL5HLPbDrKKiOGonVg3VRZxmeNf+prJoy6g+L99R3j/+takilDu/uj17NEChN99kjbnBQvVbfZTJm+gY373w8BfUYrIWPfpZCrhnXUHfzjcfSqDs281LkeHkbw0d6yOCcmTEy5d7Du8kw9peq6R66HerJF3nP5HETLrb7m7WDLxZ+rL9ZcOK2GgYv2Tn4bySF6+N/H0VRloinM7TdNpUP72sc5JVQ7S9l/hgV3UzzZ24SpnBsJsZl6KqxykPrjrp7PKe6i/fdTnyuJ7862BWx8VYVPGXMv34P479/5eCT7M5vQDxTIQ+11PWbGWCfemgKT+SXz01NanNL1hQzBjv/k+VRIvG6ibAxuUIU1XeptV0fWYUfvkkwqc5hTJDBBOOr5ecblRrRLuB8SrmYhU0PGR/l4oI49TVhqhKztZ+HFwZHOFhImUiMJl3xJk8WFfdBj7BgMq0sKo8R3UOulC45ge6u/zOYnfPpScZOv8SgHpJw6W1hlw0efjV5+syoPetd8+UURXZFw+PGRuJVytPk0vfQYPKtVBpvyQLip/QWuP3EvCF9J90wl9lBk3YNZDs3aqr0xJdmVoO2Xp2TaCn9pOOe9+oUoP66eGZzY5xbnzsOgxXfO/WAbqUqbSnkYz8Cl6pU7cJjpMbQ3DdhDfK7vd/onxRBr+DFLLYqr5sGKedKstokPV4afo5Bc2CrQODkvPUMZvps/tvdmqGCP7UGRM9Mz7auLIJsjD6oGsWcArJbwrHX319DAmDvSd0p/rqICD3xpKpuTLYUdyaMWG8zIYOfP6t5u5Sph6a+SwjiJF9KQ8WuO/kYWnsvyRTiOYGIr4UfJj5hC1mtu/Te9sL1VgW1OtWdVLfSvz9Jk3kg6b9uz3vjtkcHL3HiO7dHnkf8u5+GESG87SBmNbmdBij3wYM7eXuv/1tGLiy37q4uIGu9dcPt4+Wtb48pAyJih+3q6ySgGqw1d8XbJuiPoT9uHQzA5VZF5WZZyerYw9WiLVKMjBedHtz2+uM3AuxlLzrD0dMxb4f32froRL722mv6LTUTU56eW6neT+laUecdzdSy1yTdt/LKSfipu01nBcBfEVao9cDVo7KfMRSua6DQxo7j8ZrSdso77WXv284OZvaofcp92K535TZucNwmJNf1NzPXa1nl7/m/I59/VSXuxvKsRZCYNCXbxdXvbH0EkdaZLft3Jt1PB8RWPLWKJ7NxYYCufc4CLHZOKmrllKSBd8Ouy4UQe0LXUvFkqG4cC8QAXtBzT0t+9vuW7FwuXKFTNb9OWQMN152lK+ErS1jXu3t/HwZfRi+sVq4vcT3fJGdQuw6IeP3J2XfIxesH5DzWklxJ8IC3UoV8HRcpWpTx/IQbst+oa2CxdLK+TRsoMGarrh+iQLJtrrt9/stCRxwZ0t8RnGx8xzp1TjljGhrIL08zUMZHEsj1pY0DBf+mDWJXRoO+5yn365n+IsWfa5+kw/dfTNq/S0x4NUyLO3JTcIRz2hKQkNGgcox4ptJoPEx/3lnTf91BFb0aySjwOUj05/uYG1BE+ub3y1cIkYowpfTzvprI7eF2NmXQxURz1v4MTWYmWE+au7FM1TwLu6qIMxYVxQIVWZcXaqMKtPO11Axvn75a7wlC99lE7ilHrX7l5q3/WE0T1mA9Ru6QMsr/RST2+9PFXvJIs1FgHBlt6DlOXSRxkJdxgIyTFOdLTkABlJlocOE31qzDal5Lj4YMBw8ZNRweiw7GEeFxWxq5LzZy1LBhe85WMU+giHZvYs8jonjzuewR/9h4sw9SCv98+44bAOah7jmToMTQVS49pJJY3vOVZiw8KGopGNzBQZNFqefvdrPxOETl8NK1DGzRmTBIosRVQ1Of7Hm6SG2A++KzWyWMg/eVj35EkFBC7Kjrdhc3Cr5sNGR7YcjC+5PGK9VsCKsDl5D+JV8DFMK2HbLiZkhzs8lZ1Aw51dWXOWv2aC8X1u6D1rGfz1L13EF+y5ONVyExuOvxZ33mxShRY3PuXSWw42SB+IvEAVSmqFOQ3t/dT39s6wH49lELeh330nyS8ONb9NxIlk/Cv7x5VMYcLce4RP/gdVHFrNNygj38twyrHmK7JsSI/3vLsswZn7C/88Jz9fiQhIOLyeh+SJK93DQ8l9Fc4wfKrDwZqWw4G53+Xxjp325GK2CLnajV8XGWsh8LzqrO7XbZT0cap05Tbqwq758j+cf1HzJg3Q81b/ol7KKi++cJQBjaZAv6TVSvh52sJWKYmN/wOB/s4yAH0AAA==\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"w\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"H4sIAAEAAAAC/2S7eTzUb9zFnUpEKAoRqSypRNIi5SgpEiLJLpRQUbZUliyVnXZLSUiUNhIizD7Grs1SohQzo2ypLOW5fvf9vO7nj+ev70vNfOf6XtfnnPM+mqZk9ihufMxB0unYz1t1ayC24YT/MmcqTCuTvx6YTcO/PywrmzQqzstuaT9Lp6LBZ7TvIIeK2LjIVeExTMQNeWnsm2RjTLqh9SiPBr/VxzaXbSSvb16KmnAqTvsfEbdUJK9/v4/Rf40KnmDPzFJRJsSHVlb5vqBjhcIbna4ECs4eiKEVUGrgsv5J+3l9CrKjHuSv2UdD697ph8NMOnwaCvKWnK1Fm+8H2eH9VDw4/CltfAULuczoVNNV9cjOMrf12ELHDRf6Lr8lzUjWKXuksZUDozGrmKLQOryYJRCQUsXCIRmz83Tyvv95nSMVJ5QFLBs2s2BV1JWV68RCW/lDC6XYWlzetds7ZjcHy4aPREyAieW+Ns2/DjFxjxmiNkuKg9W6/4LuzKajLHBMOyeSCsG/y38GXqbj947QbIXQBmxT/rR4tS4VtXSr2ns32Ijlyx50vFUDqd0VTqe8qrFyQ0VF5YpS1FVk+j86UwrD5exb1HuV0MyNUNs1zkJv9Nwcu/aXKNs43nregwK/MOnER+Y1uFuklt2ZXYdbAdcbsji1WDVsHtwPGvZrHxsMcKdBem6R2B+bclxSq7I8VPUCa/7QYh5ElSAk1m0O/18J5JIHu66Gv8S2X/vWNk0yMaHN6Ojbw0C4dL8HZSsDDKMo8z5xKsR2f7nS+bEMrzijhos9a+CfdyH74UsmPFsFci+voqJnfrZ7rjcVvxowUhLNwClxU8pyWzroLHHWrs8M2KWE126xp0PcxDx7wzANIZ8fPdvPoENPRZcWYU6HcJbbt73KLARw1KwFnZg4dOFeXeFgPVb7pO8qzKcj76vEUr0lDBykGj3X76GjedI/OWApAx7788K/kbnS22Ne0XqZivRCmcO7tzDwkCXQu/gHE0Guv10+lTCRlnqyu/ItG8JnJs/taGfhzrFdOUn72PiS3RVSlsnGXmP/0MjNNKz3Mbkyf4IGA/F1k2xfFoLsdk6OSTPgXnp8RnAlE3zHlXXvMjjwWlDZ13OehfCHJ06tuleLI4JtD1q82CjzvKG/fz0dieX3nkc20UF93hFbnEkDzUhrzqs3NDxW3K437MGCU46aU88EGyLrblqfKK1Fwj+RYAU5Jn61xCi8oFIxRyj3SkBhNf44ZpYER9dgrpn10VsrmPgR6H8ifDENByv+Ks/eS0dwvRrbYYgCfvCcgR/kHEwHRz6ZrKnF4J4PAYtu0XHeVW++wSU6rs5J2mj9iA5HpwLqhBwDQvf+mjh008FdPLrM6CQV5aXHqxx45P3fzgzoa9PAmJ7aUXaTAkfWzTfjF6jYyRN1uHKJgn1Ds3aZPaDioL7Fmgtn6TDIX8kTt2diZ4c6x/0tDRYVvn0xt1lwHjkkdE+Oje7G4z9fGbPxLGF3TJA+meOo6s6rflQMW8yuf19Dx69XNfE7KshzLLXoLZyqw4Ma5aHPbfUw2JfM7TZl4fj87VrZxvV4dqewJGo/DdopBcXbaUyUb22Up9vX4FaZslKsKBuW029fQpmNeRWvuj641+KiGE0wfwcHc1W96N/JPsnLxT6ZIFfv8exylVwOUmKEoxzmMSBy8jk1OIiOm8EfH7dTmUgXf6En61sHc/s7Ess7OSj/JXZEdAMLq7ztEn5G0PBBNfu8Vz65tlo+1GtjwjFu34K9HbVwvn3PkW3AgfD2Q8aTTrX45viwvJjM6Ym4x/kLQ5mwNRYJEttZC2pLzYHqxlqYrZe5ufY7BzFet2sST1NxdELh1JEPFNy1MQp69K4G5kmraSPMGhwyfCC0L4T4qNpysbJgOl7v0kues5uOLKGU2UnUKriZdMyds6MapnFljePCHBzOXLX4U0YdYi+ek7dMoYAyEPhqIo0CMaOB9mv3Kdj7+tm1IB0WJPfcVRYluhA7/iduzTLiv3eFn+1dzsSASL9pihgV17sjqo++YmL70dY8niIDL28FbjFvZ8J5IMpssQQLE4uWrX5M/C8iaYmIfCADkSMF6jw2A5+UPwocnsvC5B4rl9LZDNjcrZhVc5eDlbI7Ej494qCw6ktBhFEdTi84PI9B9HPL+LnYKaKHt6eo9z5dp8Ps0KdRTwsq2kwfv3ogzka/VeDIDS8GZJouzf4URMOf3DKL9SYMvGlbMnhfnYFEvUc/t91koObgYm0avx6q0iE0SRMaJs8xFzxKrMXxYLubhlk0MHf6az98R8Pp2aqqztbVOFg3gy6/rAazZUOz9eMpiNBfdOj7Zw4q87Si32XXwrjn7MLHxO+3nXT/3thFw3G9YUZhCxWl2d/EJZa+wl7VsN/Wg7XYkag+VvasFko3M5ZM1dfC99DmP/praNjNffZMz48OOce+25IFdBw+9PKWdSEDW7e+1/3nx0TSnCFp431MnL+nkfhlqBXK4Zb/GM6tMKTaq1Ovt6A3SfzsVHgjlloIVny9Wofvtul1gV5leDpQebz6XimMdl1vDN5aisWtpxoaN5Zi4eV1H2yFSsFYOFkq4v4CipZ5/v6uL9A5+OHVmxc1kPv0K4ayoBZ1qXF50vpsvEvwvdVqUgv5u06JgsTPJ2VfHdYgftU5Vc1jL2BguhwmuzsoONh3i+1Kcrxr5UBEhywdTgohm4tXMHDeUsYdEnWoaO7+tCGbjpbhSwf8iO/Hpl+ovfGRAY2p/u/aQwwYPes1LHahwm6T/deAO3Scq356XtuBjYzU3o3NRVTEHHiutK6hGkPzE3LttGowWLXgbOxoLZYe+9L5N5uBxkfHJN7ZU3Gu9eTRIsIDZ8erdJYIUHA0oyzfVoOKJ4F8jXpy/5m5FuJSddVIcXw42VRMwZNaAduTEcSndZPUMg7Uw6jEN/6Cex1KE7y6Ve8TrvGv7KGuYqB5o3FruBIdChFi1IpuGlTlcrvVe2lwqswZnEVykHlyfe+wDBOaQSkLNPez8H2dWDr7Csmt6bKxCIEGTD3bLhYiS8WR448rxobZkCqzVvdoZWJGuuzftYlMdE0cUNm4k4nGe/Jv7yszsaL8fE1qX+3/XfO+fVS8l0TmZoEsXz6VgkuUl+MulymoEw3qpa99CeF7m8Z6kxrhYlnl7FXUAKPXW39mXK7G3cn4WY7mNGQsdXbwnKKAdsC6+FU9Fam8m1Q3W5J7YZUKM2lspGhx9LKa2Oh7s+MSeyYLj70Z4tfn0eF3NHZHrGItLG78pocM16P1bOJNs9kUHP7xbm66IwXRV+U/P/xEwRXHs6I2n2k4amslYfa0BtRfz6HmS3LWa/Sb2CwqNqfqfKn5TkHS+qCDT4+TdS9fUh/LY6AzX2OcPckAax/nnJAgA7c/PNLZsZwOtaoOy1sr6OBolPye95YO5dWZ/z58ZSHpVmZHYggbjfFSLt/zGdhR4uyiMUhDacx03rZdhO/oIsNqa2lIn6nf26pQh+dWg7v89DgQ/34sSEiFhSbD0vxDikw8M2s69EeDCf+tOh7DHmycX5C89MIuNtRLflET1UluiF3V72ugY/YL+yu1HAowWaQlb0FBsavZEUvbGozGrihc7MDBgGzRomQPOqxazsxVCavFdV9TxbXbmDAY89v7xp4Gz9iqfRN3qXDTb7jkS3JwbcWVB+IlDNgfarnnsYYFpRev7SnE/xKvuNi63mdBUTg8UJToOHn4qtbPaCY+q7zlMCfrENR80KZiOQehpaf8HBez8bUm0uP2FbIfmxxtxygsvLJO7HjzkPDKuqVWs5dSsfKTQJvLWRrcRotjz3ZR4b1PSuC0DwuLlczqv+5l4cpqcU7+STJv0teuFHvTwInYzZ3HZ+HezH8Oye4svNR4rZalWot8jVABJcIxJ5zcpDYmc6Btd+ZAQQsHj8Y89u0cpkJmpfrTGXkcqNNPhIlZMfF23R+j/ZfIVejKaXFyXju2lgZ+IH4d1r+0ubOZiap5j/g515kIfT3gWV7NgOSdbqEEORp2xCVW6BpSEC6hPH91cQ2y5PbxxQpIHvUGVWS9YOD9wJvMuEgmdkzPi/GPIDmutc1wvUYZFClDVf0Tr1Aobh7mbcDAornVmyZsGNjeNWd+mlktJFNtHMMJhy+8NzhpS84lSudTarM3ydn8DQ16jSxssjwesVCtAaoV53UGJygwlDTZaPGBDvWz1QdY1VSYO/dvWb6YgcCpDIO8QTriI/ROlahQUSQ9UdGaSMeXqrMR/47S4brtG+8wyd+Ft4KEzQ1r8PFIW/yi0Soo7F9SmLulDgnC65wK3JlYv84p5u0dJm649ZZdt2HBwWiJ/uqeelwRPfZCR5OOoy5/2TvWshAae9d7rTQLzTrPDX+2MrDCTsoslfjLplg3n8ZRBg4t6pheNs5BE+2woNxuGk7N0kfCfApG2f/+WllTsP7tv2umLjRUrQjosQygYcuoa6EK6T8pK9RXh21pgFq2vpkN8UtV5n7RqatUvHiocjCFcF3/5uHn58fZ0Oo471Au8Qot81dUjSjXIMH12UTPYA0eaa7vd2ihoOmVkWblGAt/E5RzP29jICXEV0FDloLkW6Wn18bU4IGObHs0j46v7GdXPqtU4XzxueSLizhgyGKVZRkbhwNclT7NZ0AtwGwTntOwpiTqxXZJFo5eCL2x4xwL1S9ZKs221YguKXns8Z6JU86yNUw9Mhd6kwWBoq+w4PKmvUGHK6Fyw//RN3Mmdvc+W75bqhSK/bwEumgpjnyhSFeEVkGcc+nzRSYNZoeFFpwn+dQ80p54fiYVH0+9kZ9uqsHI3JtOJm8pKNkqFHrRkI0lET+V5Q/QkBp2snPPMAX1179Nmm+uR6Uj/bSbTSP0G9a8ECqoQZs9p7r0Kw2HpecFiMvVYXcWT2WGMwfXb7qcLT/IQEFE/MtzKgwc2L2+4moAmbM5+6OWxpP+8Vv1ToRgPdy2uJtfXEzHLe+UX39zaLgUcPJmekothji7S6b+sWFKW3zZzYUNo+wnuYKECx2OLA+xJ+/P5PLlChqpkPAeP3T7NRs+fCe/K7fY0M9xfyVE+oNi4S2Tj0wKDhSuX2bPJf58IO7gZuJjVuwZ0nLET1ijDse3J9BQZvPq50fia5f+iHr0qLAhembXfuUpNmraBnfbtRG+qvW+K2BMeplI4CErFwpE2+LEjIXr0ViuEvX9VAMUZhW9ryD9sfZT7hzVM3TM+bRm3toCGoxi7q81Jfp0nNjKrx6l4eNX1uy7PTTYnZ2ZYeVGw++eXDufHBY20hZ5GRmzcPJKwwjblYXatAiVIh4L9/uN107fZeHr1mPNE8I0jJUsSr27vh4HvaYpybPqUeA6t2ToYi1QlXDOhslGzxpqVhLYqO0YEjy9joOShsPebWSuFFTuO3GFq2C9YKLzxpNa9Aq0F1AaahGYN/6n6ibp3xwpYT2jGqj+Oa6/6gAd11esCjSaQUGwwgd3ESsqBnI/bXn3mw1GyJXMG6Tfm775XJUhwUHuF4YCZzUNcy6u3Gh5mfCkmPr3B1Ik5+WMuuJJ3vcu+nJQSJ4BP/O1VRYjNLz9XqegqsnBy7vqen+VmqE5+mWf3msWtsw6YrptZS1a3aMvNHxiQmnqrcbekzQIDIgP2uvTYRmrQu+OYyBfX+NKGfFJwe+R4YtV6NC53iIyu58FFvOqhNADDmZY/XMLIPv4qpP+Of0JBZahj45n6FJxaJ+prN8CNpREaoNCZrGw/JaixjrSh06kbrTZnsJELqewxM2Ihv4tFwznsRjgPfyueKmL7Aejf4NZXA0apk99ufKS9DKlPSYmPnW4TP8rNllOx6cUl+wf2+loPz9jxm2iE6eZpnOXEA6KTljka/jffWePLXyXRnya165kSZ7n7LpzQXvvMKAvPdA8oUKDZXiUzHg90c9juetfS+goV3rvJFpDevS0zaIkklPSxmM78pZVA4HxOy9HVeHUuUrfGarVYFhO3lvTTWDzbq0lld6ITK+XF0zlGiHyWBmzPDhYtbV3m24zC4IZ7uKV5Qzsl3FoZDIZ6J4MOsEZYiK6d/+Lf/VMJGeIXHy0uRGPZrz4UfiPiduV7NlTpE8bvh96eaeJBRl1/9PMebVI7FT0t1ZmwJjRJeH5jwHOxrV8mSbCS2L34559Jbxyx2PfxUQGtGwrNjUnNqLbsS70rX4lNn+3KrN9ykbuODPaRpOG4DIFOekVJF8Ht4psMafDXEY3SNqZDtui241pTnTkbRl4P4Pki3XySEYnyRGrA5fvsIToSKm+mu7RxIDKynajNdtYuP56eZ3MDyaE1ua30pLo4N8ZTrotUInpV0c9nIkPm2TyJ0/OZ8F6uDU5zI2FpVkdh0NTqThfu7j+oBYTDGN64+hqBh5Hr9Sn2hHuepq5vftNA1J2L/Ie0W3E1pDZdKNVLXhmf/KUnCEV9UGrLnz9SUHPwedWx8QZUB30lTxH1qN/SthHSIaBq1bWqpxUNtYZ3j1hHkNH4IEs6SjS+7X/VX8+WEue8xWvzd+Fjj1DO2VtH1AgtU5hWZY5BUakXtmsoqD35PYF31oY0KMVx1gSnzxqL1RIUSLPO75F/xqLjmMydZ2PiS/uS2a3fj5Kw5LN5vfZ7nTcXv/BhZJHx+p1C46uKWXjkv8D4TMlbMgOJYaUr2KDNVVs6U745fSUHyVgAxsv1eOm7ngyYPp+BfILa7BP8/a556R3FCiff3tyEeGRqnf3dvUzce/+kd+qxHd/TBe0hwcQ3zR70XskvhaX3Nq9fn+vRk0Lmyn0jYoFRZ9Fughn6sYMqr23oiP41Brdzdk0nBkJk14VVY9EeW5rt/YrpGqfNDB9T/Yj4nG1QjID7SFtny+8rMfJ1uSeee0MvJZZViNJfIUbze3aNMXAcQvnzEdCRJ9aFfTeJtJfGe7iGatJz7/wJdRoLx2Gj7y6ThFdrl9Ju9gzkwZJfzc/mTukT3RENuoWEU5d4SU9oElB8wPDNd61bNiveDh0dwUb3rPyU9gcNp7bGrPt9Jjw4TzY8Xk5A9c0d0vJzmCgbNk9p0DtBrha6E1tsOOgvfTHdnfi3yEFSaKvnjMhLZ8yX20lE1edliYkpTOwb3dAYibJM1bqoY8K+rXo079Gi3xXg75kY5d1m8mcx7MviV5kIarvndXHJwzU9e2ODfMi/rrbtjmeQYPowl3fnYQYmHPAjtO/kYpdbv96Fk/UIEfnq3WIGBuDdvu1ru+koSXCzmXNPRoiDlTsLlJkoV/i6mXNP0ysXZ7jUXmsFouO2sy4fZUNG0u/bTUmLOjpChwYO8BCyKfj63avpOPuHgm9LaYs+FR/+qCwjI7jHzMWf+jgINmZRp1OIDzfefWAaVoN3lB0+PPJ63WcXVLSntJQabn+lVoUHdqCwn5XnGsxc8A4vfc4G63Rb+KoJ6uwY0g7e/PJCqjVmLXqN9Lxfs7HhUZhLKjwB/SGP7PgWeScouDVjNPV7Neirs0oLPb/q3mdgtI3250lVOkoWOK9q16MhXXxth/Nesm+GspIv8mk49/TR2UZb+gYyAwzzjtER1/+HHHVBgo+lpZ0Z5G+18occhQm+jKLFrN4co3wfET4DuVuJqzLTjUsSqBDeJr12I7wgMCOha5/w4i+FUtO/rKngzpnYmK+SC0WVwwXFl6shOkcffFbNyrgkXhVpS+SgbwTr0XS6ilQLdaaqKHTkCA3c+O753RInwoI6Cb5sPyB6TJ+NA2/0hUXXltOg3XJ1dN0wmMvT0fs+1ZGA7PbtWPTbxruFm+qkumkQj174wcxGgUW1WWSsZ0UFM4IMVyxj/QlTnE6i14Dz4JIv4NzSP+fcaL+aDMdLwSvz1wyjwZ51e4/NufoOBVOC1uryMZa98BTW+XpYFhvVdUl/OPJz9x5+xYLl9N8LrYTjn0z1bd0/RzCRU9OnP2qQ3QkffKCR2I1zhaUxv34UQ2BS+Kx10xoaM34eGvHdSpG6nrpA0tpKKiTfdu2kIYbKX65w1fpqFsCyX9dDET2Oqjt7mXA7VTDwfxyJkRSNrJnkfelT2465W3Oxt7Rtu4koovpUdEe55dMXHu3TNPKqB4ag7Hjn7MomKpQebdhSTNy0z6aTHg34diqhq4Z81tQm2h45heLAxtnHce6CA52DobCdy4b1COdcWdI/yzFZvmZ2izMndVvv/I9C3teU4KE3NkQTj+s2BbIhIbZp3vFhFfuD1y2m/5EQ1/5Att1NBqWetK8OvJpyLN1vpQ7RscydpSK4HoGmrIXzlDZyEacRPaxReRndH33+0OpBcuue+dB6WYc6dGI0XxaCdzeGuRaUonfGYrmWFMN5VDdTTeMKGiz3bhuTSrR21Pfrz/Fa6HvSitSCKFj07EFDVJbGJhdHLI1+AYFn6sfPlxBztlE8p5urD8Nl/ft3b7ah4a1WfR72oQjypsMm40EmAiM1leUD61Dh4/aCzXS/xnp+uO0fgrmezq51vpQcU/MbOL3EAUr5DZPOpNzb8jsfFGiykR+yG1xwydM8E9nSBvcZaPjs2NFBp2K3705r/IniG8w/Q4b76BB3ansXOtxBuRW25uHLCS+Mr3fdtcvBmSP7lKcR3KaV6IjOcUh+2Jwc+O2XBakKgIyYgkHKKZVWAeQXC0oslftnaZhZMahi/Pv1sA16rGkBzn/B202FaAQfWb1WxyYQUVZjtDBnLpa2ORYXDEdrIX/yTui7YQr400uZTUQf3LbWlKDuwykK61xaP1B1rHxk69leQOqF6ZPSrtzIKUUKLBvez2+BNTblr2tQ3agXFzpvVp8/sN3yQmqRbJYg0j4ETaENJxF/90ncyZXclTPtB5/1nn31Q4yUX+FGbu6igXx8dkfNixuhEr3sndrXJnoebRkkL2Jid9fNe8a3K+H7G6D7g+kby779eLgD8UaJF222Kriy0TZVRVmQBoVB5vfthbHk/mfoHU/7KNhWvO40ExPkn+yuj73rnOgZ9y5RauvFo3Joanv5rJw4Hhc04tQ4vd2y13VP7Bg3GM3h6HMQubTOFuDYBqyZdyKV+8iPp2hZPTHjwlKaZjOOWU6HESMJ5d203BQVcF1pSQdFTPbZ58jnPf4iPaSpqMM/Npm1iG5nXBpo62PsVo1BP9eUFx3lvQ9qad36SH1eHOk8aJ+cy2sHWZVWUhREaX8Vyh7M+njDqtHyy9RUah/8o+lKenzD8uM5xnT4GrZFEdRJefbdi4wjPTrDp+c0KgeJqyeJqzlH2DAwnXZnm+KTLhtTsxZSfzHu21d3u6TDARc8DU2aKuF1ZN7l7sP0vHneXq36yQNShKly0vO0PAwKPnwtlbSH2mrXr3cT8e05VfG6610lJ6MrxZPpWOx32O7RWE0eAUIPVt/gfjC1UMfXgdR4PXNQ3SPCROJGi4j6UVMPIutd+weeYX7R+wtdR1rQBWIkdYhPZmbveX8yIYarN61s9GcTYWka93OAMIDvq1lh/SvNsDtkUaY6dEG2Eg7dn2OrIXprugN0YQXf/96X5PyvBbawRvqJa/TIdHtwumRoGN9XduT6kUNyLrdeVt2Dge805Fn7lyvQ3TDntywlRxcPvloc4NXLcJ2d1s6tLBxpeJ2aYopAxsbxtdN15F8TxYZfP6IgRcqZ7XdpBiY+uon1KHNwZoQw5lUZxZKZ7NmFqURbnUeV3bWI73/W9i2RXlMcFbPcEjtZePFwLv9aqdJb1r5KfNRLjmfsCF+C9Hh7KTZcsd5dMyvHxnubmfCTsE/NIdJzuOurCWF5JVO67tnnxqohB8z3/ioUpDCy7NfQ2mEgFR7lNJII56lNU3+3k10fYm77rxqHd4Nm/98Il+HM+UK1pQ1zZBxsRNPu9mMiD2mGYd+NIMxo27HcpEWPNkgvO4Og40/P2aZVxU14/1y6cGmLgo2BPyt9ybzszxm9OTM1xzkXx6OMnevhXjVjxBbq1aE+k4paka1QKBp5QoLcQ7aNkUJhJB+vfDijScPPlNAD2DemldMwVax6YsfzGmQGpkuupZMRUYGNWEZ4fhaQWqB90fCqS2RX3cQ37LeszhSo4aK4hQVWX9yvrJeqSmMwn4077gYpreCi5lLHmll/uWjX6ri8a79PFxYFNbZXsbD04/KOTYv+2C3yubBTdd+rEirzNSj9aPOj8vR8OHDTkjGKXcBD1lnEnS4CgP452k5U8KbB6/LXjsz1Hng3n18y96Lh6PHApViXHgQLnnhYPuHh5PpaT+t6nnYuW/h8b0fuXj2syBEu5iHmg2fk2lbedg+26PpyU0edllLiWjr8yGjW6b99D4PzonZr57W8aBx5eaz4K186BqOTSOfj105Sc0sGhcz0gYNreby8LN2TsGu6zysPKlQ8OkuD6Obvqx5ncBDt4jEpvWOPJyZsIqdUuYjRY73eUqcj/ac3qsKC/mYqpEffTGXjwvtaSFXqnm4XLXdzfYyDyO3YtpVtfjYezbh6dNxLkztk77U5vFw6Sd1Sw9Zl8FX30eVKjz4SDCD3ebzsGBPwfX9e3n44jrPb7MFDyJHevjHXnGR9WBGX5cHF+eTzXQMUrh4urP8Zn4IF1tntvxyzOXiQD5vzO4YFyn/kidiTLmguhafcLPi4l9cTK64HQ9KTScn62/wwJuzt+3IIh48BSjlkrPIfqa9PrLuFBcbxpeIC7zj4kqtxjtBaS7WvDAxctfgIy5AMW3TEi58NyvfKl4wgDVCrqINmwaQEDPNMm3iomdW9840SR76qZEdo0e4+PC0bcDrCw9G/yyeu9LIOX7XPvnPnAe95X92BJL9aHi90FHIjYt3oEpYHRrAgFSkWbRIP96nJQTsG+0D/16jsXoDWZfGj3S+BB/Z9iJec7n9SOXppN4f5EJ9OOXaS0E+ojf0GdJX8/HnWWXcfCE+DETmdj37ycNy1jWZolAe9C+Olx2cyYPZHZcEzU08FAr6Hcol+9ig6Cl4cS8XOpHHP/7S5kNM5HdMljsP04ofo6128fDowses+Czyvponl5WNeSg6ove+K5oH5S0/H/qTz+O6K0j22fBwqDnkUdMFcr4bghXOjPNwSkxgwrGFB9b5tZKU63zM4jL+CsbxcZsZX11fQe7z2m9h13ce6nycoxxEePCmCF3s6ufCTrDrUvz1AShUjdf96hiAsayxcfy+Aazm5VSNuA4g0X/OvOLjXLgx+WsMyHkHVZ+QSxvkgZZkZXqsg4cMsbl7bpJ52xjk+YGuyEPkqSLBY4t5SJdq8Ij8xMVvxrHwL8u5MNh+bazyNBeFwXdeKr/h4756mPuWdPKcCz/ZepF512wpfKxH5+F3/1rBc+Q+Yd8vPy+z4mHovvuykG4eOngSShfIudb9PN66k0P2c9tuBF7iY6tyX5z/Pj56dRcUmxnwsVL40ORTeT50ym/pJefyYEp74XH/HQ8zPyh//3KNj/RZ/Lf7xcj+9fCW3SB//9z+7+FGossHVfPUi8l6Hz1q/qEhy0Np4byf6Wwe/lAcp49L8fF9etQjncxPwe7MhecieWhhHzMfzeei/EJAmjTRS0bbUNFaoqcQNtMkcg0P38xaXgef5ONEwgz5xl4eVlCeDHw8OwDttoh1q7IHIJs1M71vLx+a4Y9NWXpEh+rT07mqRN/pXxdNXePi8AyfTdvAg4NHv0jIRR5kPBcqBh3kIWHAauvlazwkV9rHZxO/2Le9rGdSlIee+aq3jDfysdDCw1KSzEFkVv0bZ7Jfv97kJ7dP8eF389SCvgk+aoMcAl2+8ZHR/mL7vkguOPWKdZoRXBgpnp5x9ikXzNfyUTGjfFTNGYaA2QCS2yP9z4cPwHrZh+OM7Vwo5rLfiRCdvfwY65r1g4ckFRP3X+Q8njYreZ75wMf581YGS8jnqUzpZjf+4+PUx1vuOd1chDHk1vo9IXPgT5pSEBcdWoEKdeR5PvBNBF+S518TIvBtsI2LwYpSxw/efGwf1PZMVOVD+Zx6z+NZ5D7rvm9uOclDnFfTRONaHs5TPI76kPMwFJ8hatFFzrnf4uatr0S3WvVDW+lcTK0MClolRPxbPcN7oS8fpFCu67nNR0L4zFu3Yvmo5GxrWX+Ej2t6y6/LpnOhUJqy9jXxhUXfOnLOyPJRYaPekU/2497C67HaxC9f5ylz3EzJPNz4tnCA5MsVw8hn76uIDkT/a/Q8bJnaxuEHEp067Hzm+YGHPOVnDN4cPvIt670tVvAx5t0ZTwvgoylILsfag49nUpRCcWM+5E3Hhu6T9Z8y36iZ6sVHxNT78CouF7f+SCT9I3ky6hQtXDnFww73bNl4osOWjK9i8YV80O5KavMPkf3mfvz+nPi/Z9srC52rXPTL8zriPXhQlwlICJzkoTFAxOzEYaKvq+1Cv4gvB4UbC6QT/bbsCBMbNSXr09piEkPyrJ9ue8EyjQdrj2vBcRe5EH6ytf5SCRe5IzPX1qhwsV1cOOQm8ZXfXzb3j88nn1d+YYFvBg/u67IaDhE9HOY1TRwjelJftmn3riXkc+9t/ZKym+h3oCei9BcXmzOsD/SSn69RfrA0yXr3HD6rUO9KdHdB886PNzy0PnY4OnSAjw1dMc8fi/Fxh/2rUZWcW956k+T9VkTfVb+M7ck+HG7dImh9lewnbVmYXysPZ38dlvEl57WPFb1Qisz1hby0Qjsyb8lRpYVHzfgQKa0y+L2cj5wAtmUBi+SZ2fDWni080jtk+RO1xG+i6gLGa3joa5Cfc1qLh/ZDNdK9ZN//6Bhvkyc5W/fn92IZMucJX5O+TvBIfn8cqQOZa0sRFbv8dXxsspCTcAAfi2h2W57v4CPyYs6+CrIP1fXhro4k/8/+9Y57T3yqeHFzVueDARg1Fgi8KxzACbqdtuFLPko/8xarLOHjXuyGwwfIvBbUum8+HM3FxY/bXAU1uYifV5l77n4/ZnSKSqdO90N72pQ5GEh0FPpa7DTR7wvXSY8fhiRv4txHDMicHXntYNa/dADMuXcG74zxsJClmmlL5sZkr2ZJowYP2YOieo2CPGy+//2lZAgf1/Vv1zwmOmAMDzn22ZL9VY3viMjh44M6dSSB+Lay0OVn4V/4oAbeEqt2JPp33lHXSe7T9lz3mKEaD6mvhvwX2PHxwzPFIF6fi4KxFbwHRuQ8HwrsMXzEhYpriPJRkk/50z8W0Yn+wldJrRhK4KNAzKZEiPBL+NaB40eI/ztP7Wx2DuPi4eqJzIEIPgZ8WTknwvl4b9QecLSjH5utmr6ePUP46E756WySD/eDdiY6+HIh8c5+VL+AB6Hkqc+NRHdxPcm7F63iY9k5XRok+dg/4LmER/L313SFxR1zPnZnTJ1h3efD4YpH1hD5nGa5H1zRV8Rn8iais5/wEZyTf2PZPB7C/XzbQ04T3RicbGq14yJgxLHqjD0X39NiVqv4c7GkeMDkkBQXmr2JObnf+2DTJLHzylAfTiVHCwSI9aNfQ7HL36AfrxcdX5G5hou0bwX73sZzYfH6S2Op6X/32SWx34wHqbn9L1YTrvFNDFnylsoDEvyNVzJ4WLXC86H0dh5sfAUn98YSPxHhOC1OItczq6zH7Il+EV5QZs3DHfe39qdLCS9KPUlbTPZBeOOCB1eIPjm1rlEswi89dnF/2QKEN+9/NeGQHEqtdv9ZPIuLoy+SFEM7+2EQa3qk8nU/NN55Kq3P4SJpMiv4E/FB3e8J7p/DeNDavmifaCvR+1GjKysJP6QMx1c/JOef7+0l6hDIh03tghCFbD4uOml0pBDuaZ+/QUdymuTCr1izwKJ+dNYNhR06SHKFRdddY8TFgwjGEUEd4jsdQaOlwzxs2qorN/KW8HRJa4nB3gHUPf0Y7uhFuENz9LyqEpnX9075i2r5kCpU/DGyi4st815puRC9dXz32qa9ho+/0z9e3yf5fUSx9OgTCg9pNX0es9p5mJ9+4KL4Ix44b5KldpP9ujed0ZBGdHK0Q2b9xhEuXJ4cUJuXzMcBHSvmqjoyDyfFh4T2kfw3DC/yJ/pTXnAjZjmPCyehrskewulSnmbhmw9x8euuR04jeZ7xMK0FfJIzJ03/Ln1D+E3GtT5Jj8oFQ77TvZnJw+MdKblKmjy813Z4UE64e51D0SoqWc9si3vJSRf4mDi/1I5L8jl1RrD8HKKPAL3wWSsJ9+nrdOyeeEHm+UrHZiXiL1u33dP1VOFj3OixQdpq4sfGzKiULC7e+C46W3yLC8FMJRvleKKH0fZ+3Q18uHLaMxvYhCs4y2dpkn1z+bv3nBXxjVQEnFu5iAsub/08OtHD5cF1HwqIr83l7Az5PsGDf/oDpYdKfHzVMtdeSXJoxryX/jKn+XjtN2lgRp5/VCbHUO4NF+aCEVvigvmIuu+rMI/0JTO2UofeMh4EjiZEzRUl/mclc5u3meRc5bZoNuE8t70T59QJFxSe4UbwiN/92ajYHyzDRyaT4W3D40Pr7seQMKKnFccPHq8kuZzBottvITqVPPeTLSPPxfV9Oj8sPblo9F/x1E2Vi1qp+YViZN5MhvbGZt0l+SfRETn/BR8Hh12itEUHwN12e2efCQ/rFrcFmH/k/9+1oTfjhE8hmUtKcWsXmc/hMMWMOhE+ApYW7LclOVy9MrfAsZnk+sTUdh/Sl4ZNvo6dIbyfdD/OXI/M1f0rhpWOhH+m3z/7w5MmHLpW1tH/KNHDrBXfzQmX2MgPNuffJzx1qmfpFqKPEAOjs78ieFh0qfS3PpkzCUE9mQKSwypD4WtLCSeebnEReOJO5jduFJLk/O2Gf/atJef4NvLH39dE50kKN/7NI73v0pjG/BQyB1XdFodlb/OgWp1vOYf0qMs7NXNsH/Mw+cSKEUpyW+t+587RHh7+mQ763Cf+cbxk1oVCkqvuK0rGggm/LH0108yB3LfP9fX8oG88NJ358+eeHB818qcHzQjvDpTdrzeZJvOV0C6uQHpXvIWAVuZ2ck73m4zdSb6+VJC8Z0947VFIpq3IAdK7h4peN3wnOmFfs3TaTfQ8HC64OYiPOTn1X+PO8ZF6W3RnHdE3N/U0Yxl5/dvEyXBvG9IHbDx2nCX7lqBz4p0pyY3bWT5LYojPlq2u2yFA+m0fo67OmPSK4M1r78YRzmWd/aFxlvTgOye31kj84yFU6/Y1S0U+ntpGqC8h+/nBd85nLunfD+tLetkkR55nJO4PIf3SffS7zmyyvp0//R2HfhFejJty2tvCRer6YL4+eR4FxrS+C8mJJWmCn5PI/Ou5RCwfIxyz5VtY+Lq2fhQ7dp4P+NUPfmnPtpXKXAQP8Lll1mS+kjPuOxTxYP9U7rjHTj5mB+jXRC3kobYlVenASy4Wr7LKifHvR7liZswIOd+6qMu80HMDkDwrWEEXHMAGYdmZKiIDcLGNLJk+R/hyna7u8X1k7p5P+Hwh9yuQVwqf00fWbySW59pGenn2jW82pIfoVa4zTyRzyLxquWKK9MH2lM8pdWrE3xdqPAxay//f7yETvrms2alhdpYHi4vBznOF+Zirff9kAeG9L88DHzj0cGGot1Pz63PS/xo+C31y46OtXE0mJJSPvSuHT/8e74fJ+Le4a4Rr1x2QSRQWJvtb8dVnBtH1+YxvaT47ebhrvVDyoyUfawcjYtJN+Ph1R6OxhHCgQYHW9ZnyAxDNtZPiNZC8sZ6xxzSMj6X10l1LHxOe+9mkIE54Y2xnVX8Y6WtFbyo7cxZy0d36Wy+F8Oft7qsbLsmQ3uM7fw/fkvRz49ClmjV8+A+yx3bkDOCZjdouOSM+5p25O++m2He8rvyyUIE7AJU8qeWGGQOoD/H2WqNOOMSnWbmV+Puc4QiFaQb3//33sgHcdevq7Fw1gDsTWvP1Sb+he85TH+skvehly3Ea4c2jTSLP7pAeM1P2gtQlKh+XV+xgK+bxoa1bsn7vdz5kflmm5cbxMEEfYuU84OLAwdeaQwZknz2urqUR37wR785rInNLmRcyqU74b9bZsFwO8WG7/t8V4YS3Ll6bEPMhXJ17+nD8yhtcdG1O+LWR9JWb+k0Tg4Rrq8RKbtyUJrz4Stl9cDYfvhVJBm9JLpnf6FL7IMiHhoZT1kqSa1Zat0tcWFz4Kt8oqSXzoffnpMdukoOeE8Gr2sg6E6s23zcmvtv5ZNjChUF89I4e5d9DwtUJmqmsYj7YLreGxp0JB997aPqHnKuJ44Jdf0metkVfLStt7kdMfrAk6ynJhdnay3+8Ijl0f+3j1WSdcj3Gk//x12NXkelS0ncp649mtk1woWMWaH2a5P52R6UuZj8Pax8obzQm/rTg3XwPZcJRHrEJ0uUihJsHBSn6RJ9O3AR7NYt+qHw0PN95nI9dnmnhr0k+bTsD0etE5yo716/NmkF6UZ1n9ntb0huYRxc90OXDexzJ3p2Ej61pTtujiG+nhHDeLSUcfkGxpGiEh/K1d9VEyP5s61J099tP+ugyv/bjhH+7nrJF2q35OLfn0TnrZ/2QpLqeshzqR+ZmjujErX5EvWBwspNJjiowhXhWA+DwbeaOBRM/z0uRtCX+2/n4fkwa4SA13ljlgY08fDX+omZAdH6nIZYyQPrW//wanOTyhWVXhQ+THj3n0QhHmsxd+vVTIZHOfKjOr5E5Sebj5IPpVyp7+OjX/BnT8pqHMQULsTUkf6NmaL+XJtwqb7XEb5zkiP134yv+O7nY6hn00WEB4ekW6dtmhMsE9AcMv33hosdi+ZS3H8lx3fWi/4zJfquKZd0jfNmo5lQzIMfFxPKYlF19/RifnqMWsY74afis3N3bSK469m3pT+QjqIW62pvMy7EN5VaPyb7EvfsYNuxP5mGhuXPePy5ae9zzT60h+fV5z6VU0oMKVRWWziPncUJkvEPyLw8K70RivQmnSIZM+YuGkJ40cuLSffL+yb1CU6sXEV6xN+HeJb3N5k2v1SoHHrL8Je/JknPzedOs9l/+Ppu4uLGKfM5X2SVH68i+LIxMzgohOZwXcNNVU3oAvU4Qv/Z1ANud/fadH+JCKdzY8AXpieNdDp6Lm/gw8h9KiqaT3nCJZh5DuE/JxqOv5ifvf/s8mdPirPgeI9Lv4qIWJzqQOR4s9Vn3IYGLs9J7dpeQPsEOK1Z6N0o40N77XYgXD3s+Ms0eEF74cW3fSIsL6eEhdLmfTC46jyxfrEV8ue6x93Q56XG+i5ZOmOwbwPHXw5MPjQZwSmF2WsCcAazakcXt/MPHG21ht2TSu8Z6rmpID/Khv986+/I1MrdBlkW5G/6/a3vJraaCxQM4bH+2TKyNi4UHDi++9InwdteifLd3xFc+v8+wJ7mePfOUZyfx8S0KJyi/aYQbqxdl55F98hTP/TZH8T8/+uHDJXlveOTyoVg+0emJlcfiyHzurGgOLZEj51G15mEZ0Z3UPGF1C9Lzt7BThLVJTm878t9viIjvJMlSBkl/KPF4cvS2KA8nVm3fsFDj/7ueUd+7R4joc6V4eIs48XPxdUvetxEOk2206Sg/xwM/3fnWe0cyF3Fz3S75EG58He016MxF1buEgt3EzwTfpZ+LJLy9S07QxtiWj0vZkRXpiwlX6EYLvCA95alUvoTPLT5ot8KhQnqldbWN9nWyj+JyLfkXFQeQ1yba60R01xA4bl9D3sdwdhNlkH7/7mtJUgSrHy572se5X/ux6b0ddSGZh8IJw2bl/YQv96k6rx/tx4HJgK0eZG6ln5dPzzxP5ru2LPWAOQ8zrIun+//w4FfmPKA0i/TMtacOmRC/nucV6nLjAB/H6+fdXKPbhyN1a5blDBBuWHl6xRJP4qOHOfmPpYjvOEffu0z61HeZ3kUqZO606aN7DEgOjmzi35YnnLBfUuRP61Hiq/7jJtcIF59uLpJY+5P/f1dF/3Hv7FXEV5S8xY6R+W3t+2e0mvQrEV/vySIy3w+kklbOieejWCdPekY5D5b7e/0zkkgO2ty8rkg+z+ic6/uMj+Scgq/uaDDn4rL3k5O258h+DH70Zv7m4lWCW/m9A+TvI7cd+kv6xZ3o2VZRJD90zxU0qxEOGE4PjoI4mWvZzbOa87h4aX7n51BdP6jrz+udmcPFrmd/u/cTP/v6rUflOcnrndzw0xNkDi8WpNwxPc9Hd0uCR082D99d/j35lEr29b9/CM7l4nTGGe8PhPslDv2MnSD+svDQlYI5D4jfdUbee5nFhxPBKZtm0guUlxh0O5E5Xt6UvYFwwbf8uF0cwmNU7ojSEtILptLPyjSe4SPFWTHEj/CDnyhXW4PMj80Wr9UGRHfs58EF1YSnxiypKxyJTlLTvqg+J32p+dqMAlHCCxqVtDfryecsGUkcktAfgIyOigFvJuGgUPmVC4h/pScxqQkGpIfvbXjT4c1F/3bv/HjSP0YSWDY9NcRPDFniqwi3ih+d6fOQ5EjsJaHp/ko+1Ay2mXIqyc8yZRPlRF9T439CzhH95KVpXVEmXMKepBvObyS5uTu1Ytye8Muj0AtjOsRPJa2X07y4EHpYPvaXcJzSerqvZEg/rrHTIlSs+BDwfLen6TIXnv5KC9XVeIj/tOGwFNFj4LKF7kXEP10Ti7nCNVxo7DTKrSbnsNVkKpJ+lYeI9+ePZZA///VrmflDsl7e/jabv3pkPXfvdujp84BPFX5uhEvXsk6skfAlvuBm7KtzkPDSQKfJzuAB6C0UO5b4lotZEerONap8rAj53S1LuMTQ6ukxpeVcLK1aPWezNhdGCjEjqoRT7e3qtP+R5/fkpDicJRz9wa73eIAZOf+Yb4lvCU/UDM9fNpf4z8TZHXecbHnYu/GvE5vMg5TWxujrpE8VdK9aKxnFhTGvdbyJ+P/w4xz4kPeFBIYtNXYinP9XUU2S3O+ddJ7wa6JnfpLbvB+fiF80rpITLunHmht56wbJnPadm7q2mEE4RTjXa4zwlnSWZEgw4U+j+zPOjZPrt0tbtr8lfDQdm3ajguSmyJwZjrPSSd55LjHLniI9T/R209FtXKgvYbh5dXBx7oaVU097P5Y+/rbHnPQQ2Zkxb2SCCJdPf+QeK+Biz+RzegHhHNMu4Vy18n78HTuxoUCL5N/Pj41byHnUx28lxEH895dv7SaS45Wz7+unkH2SZPx90NzFg+hQZVvuScKX2TM2X43k46fHGdpyou9Ndku//SW9XqFn82Ie8fXNgWPXG4iu9+5MDNlGfOmD4S6tHD/iM0o929+Ukx67t/r+NzLXAVnbzJaQfCn8VRZjlczDdbtHPY7kvp2cCwXPzPh4EqWr5Us43T4+trD8OBcLerOi02xILm5RymvOID68Yb968mXCkSOXRnZz+bB1z2xyIblcaHl1biJ5HqzsKp1P+MbgsuvPQ8TnLajr9Zce5eLarOTWxe94yKwO7ZR/S85NI++uSxcfzdFQZQ6R3v/n/rAz6YcbP1yePCpDOOmUm91Z0td6gtY+mvkf3weXnPEl/XP82MAw8woXR+YbH1xBcnp6MkQ9iPDQPSPDvmfk+a9K/5xWJXn2nF3WcaqbzNeCImU10ssFDL5MrXnZ978/k3lyIXGwi9xvyPXfio3k/g3S58YkCccyqv9syibnKqPQsSD1DxdaO0fvORKf+3frH41N5vLiz6MRPu/40PofgOLjumzaS5FHvP+7qsY9Y18kXKLwvSVMtppweU60J/MC0eej2IgLmTyo+wh+fpJP/nzx6I7941zIGf/7W0LmuffIiF8o8cGx7tylNDIn7LpDj2xu94Oe7+/MFOBC+o2A/Wwt7v9+f470rD+q8iau2VwIT7H3LCU5+Ln9jSaL9Lsvh0Xf+aly4cAWkR/+xsX8i49nRq/kYXmhe78c+fy6tqRnawhPuc5767aK8BclxS/qC+HKKrOs2WKkb0g89Nzu1sHHfAHRWJMRPqIfPn1PI/P6wiwp6TvJ9d630/YdMyjQWOB8Sm03DWKcp65l5+kwFPnvG2oUhJ6IzUxoo8Ar4Z3l29ksUMQHz9X7MOGtu1e0VoKJgTTz8xnKTOQn1npsYjPQ3vAoQQEMzObeCnvTRIFw9luPQXMahiL5/3wDqDh22s4p9QYNy13ee0Xd5CDPeqN3Ygcde0YvpB7eTUHAqxWLV7pQEPTMQPVTYg3Wf7f0ucyrweSbebMd+TXYvOGEldRYDbLnHPRS2keD+j9Z4a0SVKyTE1i7mkKF9SmV9QxdKtIvr7SMNKAiqXK6RfNPFa76XZOIGqZBwrnieY9WDYy/aD5bXsaC9pC02o6r/617fmmbGgueFi0PxjNp/7+rSvJqxcJyGiSFxn00/Ji45fBesXADG/X5F958nWRjl71pqFZnI47OCrK5NNqK3d4Fb18K1ON3YWPX+2Y6lkSpxPLLmTBzXnXwpzMDbywalhbV08Fa9HzJKv0mHO3CPjOxZoRI6IxU9DQhMERrRnUCDcHfNzwL02PAg+I6Fvucgcgj76O8w1k4ZpH1MryBAfkb4oO3Ol5C27LvX/4BBroWfn59zbQSpXd1FZIs2HATVhfzLWFjBnuu1K5iJuaGPLVy218PI+//EpqBlz/8b1OX0bA49AP3Wj8L79fIM/0usMDarl2UqcvErv/5RRoNE6bfim+yaagJPfhlyI+Nj24TG+hVTHKfDeH//T+7pV8M/sVcZ0Ir580GRgED3+66M4K/0ZCYrdSZt5EB+pcHdQkP6fD+ctcqTYmBn5nm2aPWLNwQ1En8K8MG49Dz0LBGOlINqnb80KtB9+z98Sn76WiKVo1V+UpDXGL6ans+A3XSQnemIxiIfTVnveN+KnRehNQe41RhnaVVeuFb8vqlDxxmTTHxJoeqd6KOij8xqZImP+nY57Ys+nI+DRTr9cfUs2gwLApOvbqCisNvGq9+OsRE0JSM8MzDFDwT6x2JnKLiWoPH0kBBNv7D5XghCvYm7r2pdYiO2ToBh36rMKHh8enk2ZFayMoKzprxmIGvo3N8zzox0XnYMU58jIVY+czJfxIMnBi9JqFEdOUb8eVFnjiZ+9Enkce06AiUyDT8I0+DkHU8J4zOwF/vh1/ne7EQPG2cF2pFgbZdxalzMlSUuIbfuTJIQ2Zq8S4bVyrWGt8/fohOxfKOG3KzOUyYNtL6t1VVYb70+Xn6JlX4Edc/5D9UAamy9fKhmtWQn/55IF+Ziqjg5PG75hzE+DTEpBazMGnsLlN+hIV/8Ta5wXVM2J+eZDT512B7hE3vjGQa7tykb561twaXh87l+G5gYmfNp03viU5uHanoO6LLgPDNi+yL21n4OPrzj31OLZRY25sufXkJa5uiPgedGpjKeHukPGFgLPCxW3NiLbzWuUwe2MHBy+d7924+WYsXvB2MjAI2ntmmMys12biRG2K1qYeJ+uAqqVPURixfs8DozZxGwNNjkuPGBD3kjMAvy3oMvlr1MWyMis1/dUwuubHxm+fiZepOxaV3++K3iRJ96PTNXRzJADv+hhnHh4XoZkbTwp9MjD7SGg8KZeGB3iHP6nA2vgm/uP3nMwMGkwOduX8ZeJZ091jwRwYcL1k+WhDFwNlITcnJ80ysD0qr13/KxOuf7QLvF7Hw87S6dUVTIwSPm4Bt0YQJ/kZlhnYTxHNXrjh5iwXj/wqoARtXrw1UH1vBQqaz8Cu1XBaSbuddiFCgQL/csdhUhIEip102Kw4xUMP54hqjW43VZnu2l96sQt+Ojz8ir9Wi0PrKCdZwHQwjOFsWDlBR1HytKqGciuIzWfo33YmfbnbulbxAQ7Nj0s8xfRoiH7bbjHmzoNl95GJiUQWaWoqEXq2mwrvzqs42LQrOWdDzqrZTECmfcOET0YnJkYe7hz8w4VRV8WL9CiYiXktrF4EKV6/D59t/c7Dm/obnmY9YeDjRL110l4qX/27uoaWxEZQSYJckTHxyS7VlzdMqaLVEaYrEsSE6m3WRt43kiOncyQOzqTCQmxdaW0BD+peIE14dbGy9Y7hAN52FqH4luRxpOrz8dZ/VXiF6mnI8Yr2xFueLEiLWn6fCvzanp4RFRXzG4THbnUz0J+Q+9ypi/u/3Ikdq0GjY9sJke83/fr9WtgY/54nI3pxbg+SJFMecuGqMJPexZ3fWInW7uuxtBhtro6PsXTxq8eH3pWeBVRScCI11MXek4WZK/PYrSzngdtnG0W7TUX+jMO7kVRauP/np25LfgDPykeeFi18BJmJPlsSwERi39Vvyw2o4B/SKV75jgDVZ/9z2KxMHJXyF5avpmGiIq72pxoDgmqzvyodZSHTQnGCXUICcEPt89UYcfH9QLJjMzdXMwKaitxxck/wa/tSBDU6Fz5abt8i6+iYLhlvphGMZp7tuk/m9UH5V/wsV944JtkQ1s1A/d4kAjfjJLoXZLyOfkH27nsQIZlTjva6BhG5eNY5+fyHaMEZBjc7plwtf05Dsfpr2+A3xX7Ma7tbHdDgd9OoqziPXtMPZ8+UYOJbUtfH/6enM46n6v3CfZEjKLMlUhkoqRDSuKBUqhNBAlCEkZSglKjTIkAxNGgxRSAOZpzMfjpmoVKLi7L1FhUjJXX7fe+9f5yXa+7M/a63neT/H2VvgMzbQtfvWRs1mgAMxuG7hSZwHzc7e2FwWPP625p3RLRbYp/NU/75lQaO+zaPevUz4+fCntGQLGwT+94Y+G7pnHtlyo5ANxVe9QweauCC0q+mLbisdTvK3lYdNscDckas4KcCCJf1OER2cWmgYDrJ9cpAHJoJKouR1Oujv+6LtuJ8Jruv1dn/H+c2QDR1IOIO+zv7079lfHrT475ZbtKoG9vn9u63mVwOVOkZup3g18NVlYG1NGA3yDIacbHE+75e//fVYiA3NKzuvenFq4MjFONnbqKNNyz+lBItwwCFNvlJ/uA4WmC1d8LSHBZ/JBZoHhNmQs5QWv7QC99UuviX2JwfeP5515ibqmqnc0ccn93Kgzv6yEXsZzp9ylfTR+bXgS27Q/jeEXNTusMmrthpeNwsfElxMB8f1R90p3GfJ0CfLewSqodFzx0q3ehaMrbuyyE2BC2KxRkdqKxkgWfBTS3GKAbUzVhVnGtdC6KTaZAXqeHika82NXDZccj8nWx3AhNV7YsJ75nJhnYnxz4vna9FPZ9ytPFcLO50evA5u4UKp+quCA4FN8HmbskvAKBselhpeirnKhuurdeqS4+uh3GPX5SdXGoG8qRkrM78Ztt75nH62tR6aPom+stWjQ/LBxN60U8gh8t+Tvwlw4fZJ/VXxu9nw91/DNRkXrOuRmn/X1WvBSHqlkBqrFl4MHr1FhbFh1aT21ufAgMarGwvj5djgWLRU3reHDrmiBZ+eT7CgtDyp66RQNWz6Gh6/q5AG2k8MPq74wwDKeEOMmxL+/OmfW33UeBA+uuGx075asBna/TmCQYMHq1h+M1Fvg1MG+c64D5qhMWZywUy44Lsk8ttyXIe47sbcFCb4HS5PUkbu9DPLkzC8y4GZPzXt/MdpYLz9/HZpcTrkdGwakeDTYYdA+aTHQzrMPDEgo4o+n6YU8jH5FwNWUwq3Tw+yYEWEmzRvLQd+Rg5/nqeK86DZSQs3rYcK03/KZx6yYA5bdjD2ChvsjoV8mC3Dhn8mHi6HhjmQnzhTY5LkwZ156wIrzvDgyZt3w593MiHM7oLbuT4WxM51KvRBvVDiqchVdrHgRv7t0IKGepjZoyjmPrMBXnevn3oeyYWdNwtvxR1nwY7hJs1wjVpwG/XSGsL93/8lS9XInwMnTEPLz/9kwKEk54x/H+gQnfVeengOG0xU/My8h1lQNPryxDecy4mDvx+ndHPgl3jPLXerGrBeOF9YRokOz75IhajcrwEJE2OZhKPV4PdVOc7ycSUoi/Y+YP+hQ4K0UZhMM/pgcfXXU+W1MHVwg4QuVQciC37oT57ggaAJfenQDB4UvnaiEpFnzpQk+C87z4W/oaJe2gdZMFs3/klICgeK3GcGK73nwmPxVtMSYwZotaQ/ObKICbVVKcqCK5lwjPlL5IoNA6y3RYVbuqC+t9vnvN3Ig8M1SyTt/zIhaSnrjW0FzneYwFrjLWwolBAKoutz4c2M/bI6TAaknngTZYzcrXPz+3gh+oWxBY2jsowNHxS3sJnIBTfr65x25tRC51cfAc+6OrDrl3j9VIADAhc65FJ862BnodG67iI6LPCQG+m7ilzz+Pv1sS9smDlyir0Mc4/L2csORyvr4OSSKKOAHuQTLfPQRB4NWL8irJ4qs6Bad+RztEcdnGbMjmOgfvnqj9yeRP2Rds5ttZ7JhlCxtKnRDWx4XUnf3P2MC9f+LtRVPcuANeefNa21ZIOGzSF+/mka6MjOVBrCPllyZvbnHiUW/FUTWinjhznLX2BuVzkN9CYOKhZP0WCmS4mkEcGGQ8FWKvIkF3NsR36Ubi1o/Q4klIMbQXvjSqGpNQ1wVNl+l2RQA7wIsFo5fqYOAv4uIW9I1wLnsn2iNJcNW6Y/uIP7UF45RdbfwvrZwK0ngmyQj9W7LKHPhgmpA8Z7kFs7JQUnmrczIbYn3D1yPer7HmciEs8vEr9p6mE6HU78la9ap8KCNRIFb6+GMMF9WPW4GfK+xUdJOX9/5PaAzrjSe3Q4vsKGlTVOh58LB/wUXzLhyHLo0s3lwvJ3D1W7BmiQdcA9pfUYDWaUvVeJOVEDvoRBuJhVLWRO6O0TKuXCsv/9gqMOqtZn5eUfoAGzO6PCeTUdUrL3Pb4ix4Tq0JGw6BnoL4O5xr/4LLhzSq2LM6sFLhz0y7s72QzJDw9keX3gwb3Y2CWqcTQIOCd84oQ8A963ROS2uDOhyOK5cepvOtxPLuxdGM0Bea3QyPadXLAuTo/4YssFlePxeqW1PHjZFzhfVxH9q+euwFUBBlwqTo1ScmHA7i5FX7NfdXB5d/5T7iQXln4ZG/kkwoM1Bc1P9yMnGUrffqjOYsIvodN/TObTYGjOJ9nhKSakHljUdyKVATeMm/kFmD/mTd+egv1731Fs9GUQDdpS+sNpl2tgYV1IUmQG9sEib97uENQzz5m77mnTodtw9j7HdBoUS7RH7kCdLTYrW7hwgA2ZQgzZzeIc8M6tD+D+YoPNieHxiMUcmJB/Om9bLBNo0k6vXjXVwNSbdy84E8hpdifFm5uq4Ie1+Cke5gjrFbGaDXdpcFWl6tjiaMwt1/+s8EW+t54VXT7owwSXLKNvAds44MwLOvKLgXlr+8YHB1aygfXAQN4smAPrD11t4OO/q9/01rl4lgldW/fu7K6jw0Dp6uc9yyvB44G2bbRmFTRUZ0cI51XDoZV7b2zdwYRXXlHSfzbVQlKj/QquYhlYvdR9INJaAZfHa80lPlXAVGL12e2xLFj5rHjpPNSprZZwsFCfDrtbN+0Ol6HDudd0mfltNBgP/zDT14AGdl/XalsPVkNJV3o0ua0RngzH71dV4IDqHZXSd5g/1vuNfwjk1YFXmW9+yNtq+Cd7f6ZWQgWsShbzZTfXwvDzev1fPjRw3ch6f9aJARVvT/r3ZNMgzPYO66QXHWZsmPzTv7URbFJiloX8aIQP13cHpzTUwBPV6JIhrJuUtbvJr0LkkRpXx0LUc8Fy62cWjnRYV27x4uLhGtiTQSnX1tAgsT9Y+LRCPWQH2psdlKyE98JTvqPIpTvtxD8/12HCvsr07v65dWDfa3u4KB3z1dl4sUbktaQakeWamJ9H3fJcwnoYMOtE+qVZbAaMXhYMTMP8TrR3UkzMO7p2iYqlyC8B2ZZ6DTgv+1Mb03afoMPjhpMl7wpYED4w6fImjg2tupGvkh42QG3kk1Mzc0vhw2XdDf8yayA5XDwtoJ4GQmtM74ins+G8gB5nQpUDqznxkdUOXNhyMLW7QYsLHGJv8n13LkgUqtvAOzps0TvksfwEcuZfv9PmhphnxHwfmc6sBsPpN+KKcP0BChdbL9XAQ/8WDfGP2GcLi8QrBLkwy1ciadMiLnyx7RRfk8KGsbZbAfdmoZ+pHApYlceGp32SGU992PCVnL2F54AcVWR1roNiQKaYLLXahwFFVouVQ/6w4cEw/7zgRzpYbh8SW51RAw3PRCRyqnnAFR5uizdmgcn3/Yu8cxig4nDQ44ArAzqTBVaENWH+rw5t80/jQvG7ydkv59HBlrugoCwe80SP08WY800g3iddHriQC/Hhz++tfcWAjpo/VhmGqHMWo4Gf0HcuKEjtMxej4Xkb/5qjLy78cPZmhxUHxJ8/P7BNiQs3YhueuaEO63XRX6xxYYJNbwzz9DXkaDOpGLdKrNsGKVcrzJ3Os8YNdlRywNpiqMRgcw2Efn51YLsHE+x/Hwhaw2FjTjed3WzKBsI+dvjETvQNr3+lXzAH9ENlqMsd/H60UvUWnFum+0BRC/puVdhut5gHTLhXZh/p9J0FtPXFb4RbWKBZm3RN9AUT5iVpRjpyODAkWpPeFMWBnVbvFbPw54RbPs6+tpUD7YI2lXs3caAp68H2sbU0iPr4PPvvcSYoe73ceBE5f+iXeYTcJRaUpI3NqMDcVX/t4IDIJRqMOcT/2Yv1cjh0qTHyKgeyYoNV5s5jwfmI1+8n/tGgOuDstXBhOsjEdCT+2EsHdm1Ix8MgBsgsz0hoWs4E1R8/tPvdmJCpfONVD+aAra1v4w1VmcCL+bGZX8uEwvZBua8UF35qSttlneVC2f6MVY3LuOAiQxWrYx/Ges/+JIj7VcAx8FrMY8GW1/d39G3H/LEgN++HaS24c3fzbNCHFw7IuMJCzFUZSvVaNQzY+jtD488eFox0SsfPl2WAr3Ri+n5rBsTZrguZa8OF3blS8f9+caDXxJqmjjpsuyV47XmnWigtUE/cr4P+f/MVbTv6yLHuJUaqUsiRFzUYBxQwTzgqLjgUjPW+TJl0xHLB/86m9Z/KeCBx3MfszGv0qXUaQ3/QbxVNI/2+Yv5R19Q4Ls7gwJMf0zdwVEGcxcNTCwxqIfW4OsHgcmFVvphRbC4NdipmBNlhrjyw13V1jRAdiqindyxWo9/J2/iteVEJIaLnzxUJ16FemBsy8HqfiST2fpZhQHCXr/mdC1z44TH3owP64cN8kV/iqgwo9ezpulrPgTgiS+2CEfp25OIMDeTmvqiozEMOtP++VqPBIhv/OljChinbcn89azb0edpLxW9mwq3o2SYheLwncfGjjuoMeLS1WFAxoRbeJB/o+65Gh9UvizskUPdOcfZpiyvXw+eTd0f6/XmgxG7YVBvKgP/9+iiHDlbJTyeLxHhwWkdKsKSwHuYUNelnfuNBb+IK+WfbUTdi/PtuS9SC87sB1eCBOmgwvKE5NMyA8Tk6a1K9uFAgNeuBDfJBsZha5O0F9P/73FIaFFn7ftnUWwPVGd2L1jrUQPTP909/PmLAT8YevwF1Fpw7o/0s/xsN1vpk6Umuq4Gj7/Ju6r+sAJps9IJLBgx4++yTukgC5pHShIHvXQxIVFRS3nQJ9U8s5ltqBBe0JtXgrVItjC+3lPK9zwRCS080T4kJb5demevojfn0jWf/TUMa9HStlKk9XwWuYW8FG+NaYdaB3VK/pWhwP36BmdvWJmgKCawROE4H86Q+jcajDCiXtdIwxP48/7iW7faABvU/CEOPJSxw+nhzuXcDDzJ/yKgdk6yHVd+1ZrfRaOBccCT7YlgdtK7Tcgv9yAUnxSLD9YYcuPjYebnLA8wNNn5yGchl8p7Xc7VMmTDbZkalgwULvq2PM+Y8RW7xWLVGtJENuj9yzi52wLz26+KXzkEmfH8sKTM5hNfVs+aTbCsL5k3OoQ4nMOFvgJ/HmhrUhZDUkEzM1/2KZvtsB9ng//3TRc4NFpSf1mpR+YH8Gvdb83IgF3xezfk1YlkNj54lqfsm1IHUHsWP3pqo0+v9kgtKWRDDGFHYbFsD274tpDTw9WCmtXxVFQPsxtevSFdkwOLwD9kvaUzoa9G+9A114UG87XfqJAeOcuW84yU4sLfU+nfnyVqoslwR6b2RDrelzUf0sZ+8z7+jUUuY0L7p8+f436gvZZS+MvpSIrcsft5rFhSfOX6Fe5cJz2La9A674ryKfna3V+aA6I7aryrytbC2p3Wobns7fK0Nv7FToQ3kGs3yXT3bwEUpizNDsRYmhpxN3jcwwCrGXiG5gAHnMB59wH1x+VEgp2HJAl+fifRhay6EjNjRLqdwodmx9/46hVp48NLxhj3uSzB7jPUoB+dbaJ//aGsDzKhYmWAWUg+izprCKlQDuPsnVazb3ggL/C5t+NdbDx8lR1xFXGqh6c3bK/Ow37SKVjn/WYj+/mKZcgPyQ4TshqgDyxrATPVh6d6kOnD2imW5LK2Hyw91zXtsePB76xYf0pUJ1Kt4nh/6lGXOuvbI7FpIebRsawnmjPDZXkeu1HGg7Ydzx+Y6NhhPPwi2nAW/32y4UX6PC/znK2oX17Jg/grVhgvIFZ/9I1aUzGfC7h/BMVt5DNgl57NBoJcLsLpueRVyXotmqVWzSh0Itc3vzqjhglqIz1XtNVzgFX6Ji6Yx4NiCkcY1JzhgsFf3iB3uO+287HKnWRwwYQmbtZ5kgknmutMXvrHBI0PSrmmiBog/LkdKvjPh/N4ceyED7NtO906T3XRo05756qxHNZzokC5JMeOCjtnN9w3jXLjs6Mgb38MAQ97ycQJ9v9whIM3vFAs0ShJemqHuh/EUfvVN4nGWNOdqmzeCRjHjZVd3IwTt2fb7tTMHbnwY9QxB3v8mXhT16CoTfFd87e7SZ8HD4zqZbY9Y8Fpe2+SULgOGPu1QujqTBgl3a8Zv7GeA/jlu1RvMraE8twiBLg7cP0G8uI5z5iR16096TC30ftQULq+pgwnpqB8rf/Kg5/nbNXq1jcBTpee/p1WD7uSWHmtLDtzaI2NXrYD8Enu/KG0j+pOUeVfyUR5EqA7uOq/KgyCVNXNd+7nQ2bB2jZgbB0aMXEZWmnD//6vYiNfKQ/NZIKejmtjxpAZilH4PKlHVkL7AyfdkRStku9qazjlCh3vFsrN22bKhZCCGLX6HA2vFl9a7hWMemxOpz8G+ucnVCnp7hwdTrYcWjznwQHrVS6lt62sB/I4wIKEeRmbHD8yoqoP3Xzh1o50NcI//+fgrvN7UR4uVjboZsED92b6uGMyZTnd9NvIZoD1r0Do8AtfRM2U3ya6B3al32sJ214CMfX5W2l8mrPY8siJhFxOa5xkEjwgx4LDSTkf7uBoQ7X7oZiLcDDePvPyZ01oDurbmtsNz6LDpgeINkUMMMJ7idkrrsiH7frlMOtbpkrFCL5xhQUbio44/mIuy9PZ0iIcywWt/ns7EG+xjZWeLDci/jjo/n/gI18LhRaZBHThPgbeN3hW4sED+1MkN9iMsaA2JGnA6zIKySje5K5gL+d1XC/mnsR6rP2dbYy5rm/UvvzOWASnUTk0dYEGB5JoH/XO5cGn3AvP6c7VwQt9oxk300yp7qV0aNBZEeNyTjnnHghR95XE1zM/v1dxSFxuwkY9eRYkWciE/AwNeDR02s+Vd5+XWwVlnRTv77XWYx9vTvDBfaNwuXDFM0WCLWEqLeyX63HjrZ8l2OlRf81kn9oQGkR/mLGEWM8HW3ipi1IQNzwQtij/bM2GWguLpiMVM0FVn5lvfqoW/S+LfqtayYWtA8mupxFqoeaqS6Z7HBY9jTYLR91nQM2v2vyDkn+Oai2+7utNhoZj7zAk7GmSqam095sSFlobNB6+hDljkvWIdP9oA3IjP/E9NPNgl/PLIs2EeMPyk3V661kKuZWjmqUO1sCfV9WSFOwOU79W1kzsZcFPDsvKtDgfmt87UDTLlwPP0E34Gf9mw4aWZ7DWsc+kt+7hwex4sqBPadGIbC44Yvdnsgn74/KYAvZfHhGjWC63JfRw4Hzr9Tjfrv+dNmNTC/bbLV117GbBf/P3V3BUMuDr9+OE3DPBUEOcfecoA2+Tx9ltPuXAoJV6kCc972WaP43VB5B//1BURmCfeX7pWzhqgQSVP8JC9Gu5XrZ0gK5gB7vaHYzNE8LxPnXcVWzHg0P7JT8n9AyDhtyiscJCCIqFOlcETFPwczLaIPEuB/NhFRq0QAY/Fh63T9pNgqif0tMSFhAOfDIKEjEngrd028DOBhLihiHfiGSTQ7XaK1lEEXClOkm3PpiA6PbH/5y4KjvsXO78MomBxsED0QBgFR7/79A7Ek7C9eNjofC8BTIn+rasESMjWf7UuYB75X15jE5C5cpFxwlMCwi/mqavcpf67L+UiCS4Gvx9uiyIhS2aLjcYVEtRyOus6s0noGTQvKHekIFK0oqLxPAXiKpbMGSsJ6Dumz1OMIaFWy46n107AJp2jU70bKThofjPDt4iEPCfNQ7EpBDg3+1w49YKEpBfHXSuiSZC5NvSr7zQJ/Jnxe/e848NuW7kjcp8IaIsKmfPnCgFz1t4TuOBPwq+A1Se+5uLPbdeyW7kB96HS9lyVIwkjyg5hgY9IEPhtt00M183pcZX9rEZBaDhLuvIJCSWzkx4KPCXBte5g54kkEgyXlsvdtuTDZLPRquPR/fBpt0BhxyM+1GjbvL4ym4D3drq+LBYfquR4mhs2kfAtx8bJOYKElzp/Frtg3UTtMj1Vm0k4U1q2TFiDAjXL+eaOnhQkaI4dSZz+nMh4y98AcwpckgTJa/UkTFNiUwcJHS1HmUen71ssp9dfqSBB9Ei2sJEZBaofHh1qWkVBWIO318OvBPg88rlwq5sA0+1fhQ7gPigkNEysrSNA79jg/Z/OJPiJz9abwNedIZFCldgfnAEDamgtCf/uDB7rWUOATtQ/qQfOFCxpmXTr1CdQZ27XpnfwIeiTiaP+ThLU92d3qbsT0JoqvFf1LQFLJsb3H8N99XB23CG2l4C5Y3JJRu8oKJ6vUR08RoBjowLr1xbqv+d82VPwZ+NxfcYyCqbK5pq/iKHgiNfyrz7uJDR+ZWpZNlOwMFrapeADAdEZFQ+bfpAg8cYmL6q6D4KL/AcJ/H+u2l5qxetxH7qbFvSF4T58fNemem0Arv2Le04zG4AzJ5wDQkIo2HmuQbdyDQVyyuTw0un75Xu2X3+E/bI9dZZmOZeE9hmSGy16SLhzqSRT15oA+6mzlkklfFjZJ5ocL0ECO27GLlEPCnI9nrbNUyPhxt8XH3s3k5DKfr2z/xYJ/esDbVzeE9C+NezC9H0syQEd7jN6CCjXEVq6xoAEA3mPWdw4EsQvrp93TZuAfquwqcyjFBxe8k8tJJKC2zPa2k9bkDAZcqTSrZiA/Y397aF7SDhfqCZZ/Q3n9+zE4VeFJKR8mZXyw5yEMu7eiXOTBKw4t3hl5FcS9B70MYwqSchP8Es+cZCCnl77JMUA3J+oe/uOnCYgqEluxiYZ7J/e4C+qj3FdogsIWhIBPx7E5z8JI8BweNIoI5KAfeX1BtHvUB/+eogIbKJguei8yV3bCYgx0lYptCDgo5LUjHdVJLyN9XQ3/NsPffR5kZ8e8+H+76XuFvok1Cm4XhRwJSFt0fXZMzh4HePPG0KVSZi4Eehdtnn6ftUgbgPWtdaQd+lFKvZ14i3ZD+kUbC8zKIlRJWB49R2BtnkE8A3IR3vSSNhTdUu2IpCAiuXtk5KlOKeZ4+OROiTIKXo6WHwh4F6K8EJtPgH/jnmtCCkjQcfB69XEVdSN+HX6G1UouPXxjMb1NyQoKxw9dfEvAcfrlRmRcwko1nxNtR8h4OkcXs+1c3jeo8p+pDUF/M7UzCAfCohLAlmeyQQENmiVAO6T/unWNId6AnhJJmflaygQeJ7PLdYdgLHl3x1+61Cw63nDjF+vcN7vf0ya84aAQ1ZbjoVdJ6DnbHjEr2gCqt6KvP6wBHXPuWjRUA4FKb3+Ih6oOz7nj2vxt5Pw7FR4hQPqyviVUjX9TgISSxQXvrxCgcg1+d6r/f3wqsM15bI8BfRtqrKSOL97h5UShloJOFiz0qijgYSu+N0bqM/Yz2Z6BfmvSPgYpRDUeI2EVa4Hc8R7KdixOuTU4u8k7E7fG74Ij2+/cYCjgn2vsmLs5vwpPugmX1q9mEXAlllKpsnr0Cdyuov7z+A+hv6SXoC6E7RUsUOR4oPfWpkcYazraa8CsxW47wZ9i0PHZqBO+eyT9JSioNdPQcU5k4DLW84rm7cR0GgR4Q/VqMMcyaop7Dtu79dL+h14nmGfF39x/pe6amvNMiPhyF2x7PJFfEjZt8cteaIf2Emb9azW8eFiW4HIWAoJuhsyfFZen76/ozb0NerkmK0m/Zg3BZ0bhWYmK1AQpFZ3dyCQhGH3Ueu2IALUfmTfq8fr8R6q+u5TQ4Ckuuly8zQCHDaEXFiSTcC8e4ufi3wjwHoPY7lIOu5Hxm1Vjxj+f/dtfuuH7aKXWWaufLg+7Oo9u4cPf+K4slNv+eBrcTVeTpmAixVCz4gM9E3WxmYCv+67f8R1UxPq6VtTccuVqMPPbNQmH5KwftR6RF2fAosVT4lBY/z3XAupJvQhr6Ui8gY+6J86B0qv+ZHwqPz4I985JIS0uqzf9xT9PG2iUvAlCSdNLBP2O1CgmGvOEYlAf4yt57LuERAaNiZtO5+Esy1X67IPo3/4XCj9tosE90u2IqNH8Gtf3vmCET58FDnr95fZDzOzr8epYr3eftglcGY5H1iTXoU6Ynz4IRx+wO8lHyJ0FbMCUSd2HT9V2aJIgtispjF99H8vm2x7B2kSNK62pjJLCQiwPCr0AOcreEaGVTvqaFBSxNtZeF38Ul+pTDsKBo44jC20omBb5/2KDX9wbpr1xv7wcL/ny7qqzMX590kWKtEkYR8x5RGAeuoQYW6n5E5Bw9+T4Y54ffZn3rQ4Yb/epLMuPtlCgHZZ+p4RJxLmuj//8wM5JTug1pXFQJ+yfnJM5SIBEckpbSk0CgabehXmdOFxzPTvWJ7nw+Nai7uM03xYNXvziXVefEiTVzuYL49zkp0mpyeBXHLKvFL9HQEhXUGzclD/hIO3PVqM+lNWEnjUCucm7E930f6bBNC1qpT84gh4lN+vR9EGwLeVsC6JHICzE6J/ezjIX1xStqCYgpWtdyvicH/mTgZf8kygYG/e8udSrXzQ59i/NUSf8qj/+YzZj/p5J3acbkrA2TsVKXVnKGCqr5bYboB1PTscZo16o/ZxWZvKIwJy74pcNlch4fuV7Bxp1HkV/mmj93w+0JfbSBgM8yE2x1/u9U7kPT75+xAe56oSn85ELpCxLf62bxsJ6Qu/TUweHYB9pzXC87BPbu2uW1qNuj7T0tJ4jQwFcaPpz72xXpppLouSCkj4I9rV9k8J54NZYtBzDedr+jFV1ehHVz0PnMH5P+Xh2hZwnoCW7xvj8j7w4Wu7j/BEKAEDItm8iO8ECEoej+xF/aXaPvkuS6HgXefAPItACgL1VAOkd5DwujRErjuBgOq/nrpluF7iOvOQ8V4S9t5Xrds8jP7Q4dF/0JsE2ymR0fMLCdDcW7d/C/b1REV4eIwUH7j3b1kr/emDINNPqwSx3iKUydoSG/SB4pr2KOTPJROhSVJYh7MnBUdetKB+9Xvd9BRHzijbO7QynIAiWnrU6V7kkimZuL5aEhyHd/N08XyE/wzokpp+bkzC2IVfBER9mqlYhProZCzSOdqIPPiioGkG6rW8mEDcqUsUZDy1WPynhgSnpZrbOOj3b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" const render_items = [{\"docid\":\"d8f3b559-f2bf-4e45-b512-6e0bdc4290f3\",\"roots\":{\"p2213\":\"f6f37b77-6678-4df0-8269-4c52dfe83f3f\"},\"root_ids\":[\"p2213\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p2213" } }, "output_type": "display_data" } ], "source": [ "bokeh.io.show(\n", " bebi103.viz.corner(\n", " samples, parameters=[(\"alpha[1]\", \"α₂\"), \"w\"], color_by_chain=True\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that three of the chains (colored blue, red, and green) are centered around *w* ≈ 0.8, while the other (colored orange) is around *w* ≈ 0.2. Note that these two values of *w* sum to one. We have just uncovered a **nonidentifiable model**. A nonidentifiable model is a model for which we cannot unambiguously determine the parameter values. That is, two or more parameter sets are observationally equivalent." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Label switching\n", "\n", "There are many reasons why a model may be nonidentifiable. In this case, we are seeing a manifestation of **label switching** (see [the Stan Manual](https://mc-stan.org/docs/stan-users-guide/finite-mixtures.html#mixture-inference.section)). Before launching into label switching in this particular case, I emphasize that this is certainly not the only way models can be nonidentifiable, and I am presenting this as a case study on how to deal with a particular kind of nonidentifiability. If you are seeing nonidentifiability in your model, do not automatically assume that it is because of label switching. I also am going through this case study to demonstrate that even in fairly simple models (in this case, two cell populations, each characterized by their burst size and frequency), devilish problems can arise when trying to do inference. You need to be vigilant.\n", "\n", "In this mixture model, it is arbitrary which $(\\alpha, b)$ pair we label as $(\\alpha_1, b_1)$ or $(\\alpha_2, b_2)$. We can switch the labels, and also change $w$ to $1-w$, and we have exactly the same posterior probability. To demonstrate that this is the case, I will generate the same grid of plots as above, but switch the appropriate labels and convert $w$ to $1-w$ for every $w < 0.5$. (*Note that this will not in general work, especially if the different modes from label switching overlap, and is not a good idea for analysis; I'm just doing it here to illustrate how label switching leads to nonidentifiability.*)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"alpha[1]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"w\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"1c203d3d-bbda-4a73-a37b-5abacd213375\",\"roots\":{\"p3150\":\"b69a8bb3-2a37-4c01-b58b-2d908ef56ff4\"},\"root_ids\":[\"p3150\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p3150" } }, "output_type": "display_data" } ], "source": [ "# Perform the label switch\n", "params = [\"alpha[0]\", \"alpha[1]\", \"b[0]\", \"b[1]\", \"w\"]\n", "switch = df_mcmc.filter(pl.col(\"w\") > 0.5)[params]\n", "switch = switch.rename(\n", " {\n", " \"b[0]\": \"b[1]\",\n", " \"b[1]\": \"b[0]\",\n", " \"alpha[1]\": \"alpha[0]\",\n", " \"alpha[0]\": \"alpha[1]\",\n", " }\n", ")\n", "switch = switch.with_columns((1 - pl.col(\"w\")).alias('w'))\n", "\n", "df_switch = pl.concat([df_mcmc.filter(pl.col(\"w\") < 0.5)[params], switch], how='diagonal')\n", "\n", "# Make corner plot\n", "bokeh.io.show(bebi103.viz.corner(df_switch, parameters=pars))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that if we fix the label switching, the posterior is indeed unimodal. So, making an identifiable model in this case means that we have to deal with the label switching problem. There are many approaches to doing this, and you can see a very detailed discussion about dealing with label switch and other problems associated with mixture models in [this blog post by Michael Betancourt](https://betanalpha.github.io/assets/case_studies/identifying_mixture_models.html).\n", "\n", "In looking at the corner plot, we see a very strong, non-Normal correlation between $\\alpha_1$ and $b_1$ and also between $\\alpha_2$ and $b_2$. There is clearly some structure in the posterior that would be impossible to discover using the MAP alone." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Initializing walkers\n", "\n", "We will now take a strategy suggested in earlier versions of the Stan manual. We noted earlier that the chains tended to stay on a single mode. We will initialize the chains to instead start near only one mode. This, like any of the fixes for mixture models, does not *guarantee* that we get good sampling (and we will discuss more diagnostics for good in a future lesson), but it in practice it can work, so we will try it.\n", "\n", "To determine where to start the chains, we will select a chain and start the samplers at the mean. First, we need to compute the parameter means for the first chain." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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An easy way to do that is to pass a dictionary of starting points using the `inits` kwarg for `sm.sample()`. Note that vector-valued parameters (such as `alpha` and `b`) need to be specified as vectors, which means you can use a Python list.\n", "\n", "Before constructing this, I pause to note that by default Stan chooses starting values for the chains by drawing random number on the interval [-2, 2]. For constrained parameters, they are transformed to be unconstrained and then again drawn from this interval. If the posterior parameter values have very low probability mass in this interval, warmup may take longer. It is sometimes advisable to start the chains at different starting points. The method of initializing the chains we are using here is meant to deal with the label switching problem, but I am using it also to demonstrate how to provide starting points for chains." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4bdb5ebe259a47ee84814d478de6e114", "version_major": 2, "version_minor": 0 }, "text/plain": [ "chain 1: 0%| | 0/2000 [00:00\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "(function(root) {\n", " function embed_document(root) {\n", " const docs_json = {\"f98f1230-3c8a-41dd-b416-d1e59536a11e\":{\"version\":\"3.8.1\",\"title\":\"Bokeh 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hTcmWxhYaV0NLlxMo/VVEX1cgkH3+ly9b1EMtD8VYQr5fT82x4vfkdy9sCQ++YSQcGne6qWR+xisczscWuhMoVb3hNflGhbO72//PGUsAB2zURBPOCfPv/KC7noOOoXMu0pXBmkRPy+dGy/A7Cglkw8baLz7vnQaIkZirtSuAenoURh8r7tmdY8sVu79tf6WgRAzytSmJtQIcSCAp76glsO2ZoU28ygBbjV5ZrXGMohMq/5zrYyGgV+6nq0zjWbL/b4UOU6L14g2Wv4Wws7hbsmvTSJkejiHvd5N1qNUeHzhTQoX+U66iYRT9hyqDtMn+2Rr/CR+EuGa9+NUG2xcReD7KGw4R15XM3H5nytJZA5T74RVkT6XOTLB63eYGHIjja9srxOiPunbYtNeFtzTSxfX7GHQttj/+BJtwhmJl78FEa7+bHnsafoCPm5tnuO43oGBUcnby3tIni1YprxOmvS16eCs3Z8LaZxfOMxLPoXsS+uj8cejeZhyWPhzeJwAJj7tDx2IbxQuZPVODzLYNSVcssKOhfboJu+1BwRIXBZW8KiI5LbzSVNpcjxPlMV6KW6nsF+3p2HvEAqpe37GjJtBYebL6AnXTSncHHqitcKSw/pfTPZy4i0307+kCF/xECyecfbcHwWM/s6PGflICPOzDaX9xRywpzp5JumXR2+Gj3kUyeHzhLJlllYcPngPXmJFCnCZ9Xjc3GY+kivXbqDrSd8HjLQ8RY7DWC0fz5OE98+EvVOPmEZ4R7SraUwH6e8ntfqB3grwGyYvp9vDonlw7MPDJ2mECCsqhjkIMOfguen+TQxyn+//PMyGxqkM9WP15Pne2TMWxT1SQUrA3lhTD1UcsMrbP+uVKsb3zWCGWY/BmsDmmcdtxdgfg31eH0UY7uP1q2ghAzm5mqYvHAur+o0j/Aj/h7V+0+kiOfPxwXzToLkM2BtyXtFWLKSevsg4VMmDjmZw8QxXHnC6MffeSRYKCXv1uj8pIld3svnicjFqro9wO6HH4SW9ivOfwODW3JvT/PQoXGOG3ikSMTgaqh0wXYUPZX7MjYQBPlZUDd+mUy8Pg5g5Nop1yvAI2riP6VOG/YLDLv2E2+fuO6DABPGwizvUMpai0bRWct8+Vxoxy5YobDzO4rXnvL+5hLuNFN8mZE3lQ0JYHhdP/GRD3cGIUFUOfL3nr3bcE0DX8mTz65k0+izWJziTfHGXmMobt1aIgucfK18Ek8/1dW37mdkCUG+sOpaSnHy2b7jOcsIjBUeuWl7PJrnx582UVaHk/RYym4cSHj3w7zBHcxizTC4uMJZDxE/L5stuHA7N3Nb9YgkfZxobmTgVGl8/2PmcIrwU9ufc3s9/Cf8ZHNU1kGMw3rdAUamLh+MBttUp9nwwfzNurd/Fxw9L74LYSj7qwjdOTimkkJH77qS8mRDHpLuHa6mLoblm0m8faRFWa3rZ2+oRb7rXXXaK8FNkmdb1M/0CfLjbc+hbnQAyoV6D03gcnhmYEmrmoP9zU5SitzwGTn4pfU3cfq++e/6C0Qpwbd/qF/aCh3mibRKubTwcKzth9jCPB804U7UnxD8bk5/L3CliYX79XfPufjIXsT0ey5eLwTOJcH0WLkLLhS9bzPVIf8woWXysl0b4ObuftvcoXN/wxEKVcMSILWUP9J/xwc7JK09sYJHstcb5iB8LD43ypYb6NEr8pE23xTGYfOedf0srA59njSGmhI8MbUO+GRKf3RTivmWkJYvQE++GztQmPm3zYl4z6eMJKR6+UXkkT1aE57z6S6Ft7oXCiBbyfI9Mjt4uFk7hdNg2so4blUOvV8ZQuCVV7v1rKfEeuuX1sEAO3a2uoWmfOJQtST1hJ+Yjasxy5sZN4jeCVRNSjBjMa//Uf+wZjZP6X0eP+kL4/Ounr9fWcAgZOTvz1AkaOVzLpcvrKCwQ3ouNJRz55/7yWBA/3r164rR2kvMap25LmMkzyHO7qC9fyaBnkVzduxeEX+ub60aT46TT/Cu9ifhKhH3M8R0TOMw+/7FOmETm3O3q3hiyX1eObzPm2wiB7/PD+8j+u2NYsO7SB/L5994/qzxVgO5f2+K0lnHYt6UhTfYnA4kvUqMaFtIYbn7OMoH4dYNt+JmALha3jXyKNvcwOF5uU9WWw2LRsOInl0lfnzhvlvdmLg0v65ZAm1fEJy32pPlMId9D9UDvVpK3xtc0tPkfKDxo8Wq3n0HjZ5+Iky8hueySG/Mqn4ahk87Md7eFmJay+6nxv945xXsn+4uPMNGdnJcJDPgf55ZasDS+JFu77UmkMNR2vN3vVSIsPdD465ca8Y621CpDwucd0Waaj0MpTPINurtiGIX37i9mamxRwIx93yrOKfBQP35azXyGByXqWnEzzcfNi4+s1RVodKjGvp6eTSO97vUuuxIGtsV6WZFTKAS6efdFPKHhtuB31DoDGnfZQnetZAH+jf93HeLzjmZM+EkG1N6baeaLWTyccG3DFrJ+zZV7fQzI/pbPWvTCi1HEtfOP0bFHEdlKsUz0KcJ51REjNhAu27Bp+XR5kh+2BbvgX0wBfN01ksQLU1ylb/OIp6dO+hX7aRvh8uxxBxsJL3woXYycGxS82sYppDvJY8jBQ9JcNQ/VL5d0z7JUgHKc+ZADpHe1JfoTbTMI12/sCM06SObYmnr6+qkYjKXv7Itz+Xiet/FbYxgPrXkKaVYCJZTNZNZmEm53GK8cVZUghE6247bcbQIszMuJnRJMOLmqs9eIrPPxbSveBH0U4ppl0IP4EsF/OUz4RV/KKYB/hPSweLL0njd8mJmOGDubE0Gw9ee8BYVKMD25LNbXdzTGN0z6Zke4e88TzelhH3ko7CHisouHmEWGbb+eM5Cxveyi8pSF0F1yk88Swi+PqdrHOTTKbJS366uz6F+7Pqm6SQBfzni5TB7hsnWn2ZvJfJDdnbk4mEbAOU3r4cQTKmsrP097QCFCI9DBMpFFUb+K1YE5FJ4o3T0ZdouCGNcfHiF+YuR6w2Q02adB5gPyBnKE+7HykMwlFs/jO38HKBGOfL/15UJvBne3zd5y0ZYHT4+Z+koXFLD9gej3n4k8jP53IlEgwNTmXYUSihwWWEYsu096adL5a8O3HyNcpN7SFzBHiKOjhk8585tGp33zxknfOSj+5KKVJMgc9Ddf0SH7Z6l7dcceKwHclWXv9xoKULP6YsRlwptlR2dlndQQYUTkVgn7dMJ3D+5teeMkQnBUv0LoYxbbpeOkJ1dy/+X2KQF+2EzWzx7BYdFXD9k37wXYlWdgHrCQwh6LLQ+i5/Dwsb3Fc+9BFkrK8ek1ZH8V5k3xrPGgYbZt7HLPNwJk2uRZNMQQXmTGW/cuEWBFZrM6d0uArslR3Wc6afQ3L9i5ZRQFmxFWHb0KIhzIyD/wzIPCrtHF21bdFvznqWcZjNFeIP58icFpu8cvBtYyoDdI2RqRPBQeGLX7uzUNmYcaW9rGkz4IZeP3vWURbW7cUp/CYfUf/aaMvUJsbTE1+lVM/+dhJC9n1urZDL6jMVhEqdqqccgVqeuXijkMIzGsKyFCUPLkHacGOdBEQ3OG0VhdkNvTRPrG7JrKMntlBiP33Dmv6MEguP60ee8yGnteLQ8LInO+6Kj6HtFkAUqyq2qDTzH40fsy6N1X4mfGZoZ2JBeTtmr/zeaIr7it0ZEk3C5dKKW+lPh1oFRt7tFWAcZHcSVSTwU4rvYoe8BbFTmejpEf/Ig/vLqoEu8xBtsNLO38NVVg3hWqp6SuCv8RxaFzM8fAddKxm9RoeXi+XGgj5UVj+4J3YVbEt2ZY73vPmcvB8twf9sQQBVxbFPNJdhbhp2sNmw6b8zFpyJjP9csoLB24FjNBj+zzd6VvHT8z8H/2+NDkMwzMSG2FraGgeeBQ2iqy/5dkH5ix1J7CS2eJVeYdfDi5TKmcvZHCNIt4xaUkH5f5HrYK/EEjbvMa6Kwk3r968q5NXwX49mmxy8EQIRojvjqOIHn2dENJjlQmmUMT86JDbQw4t1kvrRUZZLocfmV1gsELXd6aA95kfr6sDCwjHF7cTwI+iI+lLkY3BpaSHJol33RzEw8VBtvHj62hcDb99P4HZB26zrQFrHrEIOTi47yfhxkcK31yK347+X+bi73TP9J4sPfPYFcVhfv7l0QbSlDYW+jx9EIaH3196y9PIBww+sTcP9pSNOyn8AOeJdKoqSjpUic81OI8sP+4HwUTT5/mvYQXDz8NnXKE7KM/MgRWvlPYLfB+3L6C9ImN7OthvhR02/tv/t1NISgYF+w4ClMDqF/f15Pel2szuOhPni/vjvNPY3F66QeB1ywasq77ND7SpA/S93eEWxDeG/BX1ZlIPE5159UXp1mUD66TGKpEvPBUQ+9kwnmC0L1Lahz4eNW0Sjmb5J537tmBNiOSJ7fVpT8tEOO23N+6Tg0lnJQcufS6nwgqmQ46k1YIcTFljmRGmgBm33lTpvqTPDmypDx3DOH7UdaRTvZiRE7Yu9B4PIeZw24sut7B4ojh42Q98vNDgwUGwfUUxp/l5dUSvvmx8uq4B7kMNnf3R/VeZ/G29/uWjJ3ke8YPVms38OGT7HQkq5uC9u/DD3eNZ5Bxun7PzEwW4T9Sr2jMYFD+98ckmwvER3dL766spDHBfFLf0Co+4hIlDl3er4QJ72sWTKlmcKU+sVUvnMakTZp/I5rJem6yLTcqZtCQav4rgfDbtI6FnvsJdy3KurDhQrcAlfcmXzK0EKBqiy8MSI5+PmC39inZf4+TNn/eR/Kicc9ihZEjGeyJu7vadJki/L8MfI4vFuHFglspAUFC9BTWbnlXKkSEQf2wJlvy+ux0WnK+EOc5QdhBwkVaJSFPH1xVQOZuu10Vn+TxOlA1bXMy4aNvxrtyN4kxZ65j/lGSx1m7R3VmH+HgkP3oY/o8Fg9c4+ZObGcQ3fRoYNsh0kvMAOunLsLXr+UuUTtF2LtBqPTcXOk/j0kR4Hauc7yePAeed5eiVCEHZtgvs1h1BqvGVSvXOPMh8Jp4TayggLZDsaUpnjwMzZ7gEOzEh8r19gVLXrL45h/2pek94dTdrMwX0ldeOZ2RcrUMsiZcYssI768KV89/FsP8d74ni/p/j8icuuWKJoX+LnP3U4QzVeI3zWNJzl05H36v+RoF51rdDk1LCmr2cSW9fgJE+E27524lxIfU3pPls3j4YtF+2nTCKKiNeT131GcOZDet+bSDQ0KqKH/iZRbvCqKehWkx+EYLf1uSvpTMPsQf+C6ARJyOs9lZFtei+i7n7BdgO8EC7wkstJ6+2T6c+IOp+sukFjcKUW6jAq8PJ/NzVL6h4TUF9RSJiBdkf6Wvjhv09RCjcOqu7wVSLHQiPc4cuMPg0ftkt+0GAnAWe5blkl78ZfW58BGI7z0aevfYGx7ai2XTTxJebFfZF351BIMAvezNMYQ7PTt2pfaT/J7wx/uIpAKLlNF7ojMJj+y423JOcTqN9bpT+zPuE9511N5pV8bizklD2/ffaZy1GrBuy6Ox99v9LYmXaKg6Hzocrk6h5XD+MDUyn3e/FXlnx/HQ1FSvXfeOwqEP7m9dCYfNn3kS28n3+8wMv191kY91ZWOfl8rz0W+7ZO+CfAFeG2S/PGjC4Lyz/MFQMrdPub/KUeRxakiJx6j1QmjmaXRXkn0n+yL7wo6tAji5xiT21AoQ1MEzorzEWLXy/NX8TtI7V58MudBCvC/uZIftKw5O9IOuiYQruiZoyt7tJzz9ujQm5ROFnhTnw9kk92+1KI68uE+AyNWoHqtAepuv+tP4N4OHy20z80i/lOn/0FBMFKDw9vJb8/cQvqOmxx4mPbtjwbLd4rEUVvvWT5q1hfReq55kpCZ5nePjsxfKGHh8ad6eSjyKqcsrHmgnPNql5Hn2LovMFReGuL7lsKU4IDMihOTvmpHuNkkMsvUTxymRvrYIzQ9fSzzi1rgSd69nFL4uzNQ5mUChMnH59yNN1H/XiVMYnOo8vGjuapIPi/xrXrsKUHbwwuaWJnL87svs+JTKw7Jn3Woed0RYb9O/bz7JVZFvVsm+dywmezpsOEzmcoRAa8+iLwJ0UkU6qXYsxs/3C1+oymLfvws2Z4nn32qeOpdwja/at6cqPnz8UVPW6RKyMFScpFe+nfi523k72y4G4nizng3VFPbVfiz5li0C40AmaZEQDR+7FlpOZDH67PjHHaRnDo0tSaj4SPjffdjZV9dFGJn1pvMKybG94ZGs71IBJm0ZnqOqxuCAPSF14u1Kvqo359nwIdpxLc+KcLT6Cq1Oo0lCdOg919c5ycFDNUejtJB4rYPTKN9mPngXctKfadDoTqp18SZ5Nv2fuHzg8ARzLy8k/aX0T+RjaYzY8WmgmPSaxjPvfSrTeDBUmYI/cxRwOvXS0QeP+GgKbzEpvcfHpq/b9xWR3sw8eXdO0QLid+8WnCvaoozDifH2i38K0HJMt3OQ9LHG/Meqm97xUXYs6aiJzRjoyX6O3nReFUXhB+md2qqY9+nZTcE7Ica/33O6wF0EyzHqm5YpsghcdGLSUeLJ/P2S80P3kNza0ndPi/Dls1PrP4rm0BjnGXC++xyFc6fc9ZNtyX54d3vu6EDCv67bHusSv9Le7xM3K4+PlNVqXXZRDGbZxOqkGQvx3rzBOu8hh3wnBfa8tCKWbD660KxdjOXVKYlx0TyM0NLwOvWOh6pLJs+Ua4nPbC7XGtFD/E6rb9WWwzRU/gEZ4WxnSruNH8GH+W1JMf8t4f2xRkej+cSXUzNvicIoxObmdBQsoFEbb1pnTLxT29I/89ALPs5V3cgvbuIDFu+K07fyYehqezjViIK9pHFp4iEKKmm32vc9p+CZ8Sn88xU+7I26jJcP8DB1/pGWDz0KuNdkud/3GIOkpoLROYSLlY13rb1yg4Hw0k9rbZrBkjchS8fyBPBou6v5juRQStfp0uU2Ynw6el3WNHg0RnWXPl8my8Bl7/nS4D4aY7WvVK0JpPCCdeozf8Eh5IPNK7tIBtd9f12b08xicO7yxNWkpx8nDhGWewnQ8OR+zxAPAVpLX2hHkv4YXbtxTiPxe6MAtXGL19IY8uDBIdnHFHK8113mSL7t59elXWxlcbzKsYX6yWKly4njWaECHI563zr1OY1RurNSBSkUEs81rRAkMnDYqXRB7g8Fvzk7mx53UfgXWy3ShAs2fXayHsuHxScaeqT/npv4a1hMpjBbaarXMlMWNgs1Y93I/HkXxI6kZxO+WLXy+xo9Bmd2KuwoyudhVcnhgClKJKc6/aWy1jOYeHXXmUcHhHim7q9azWNwRO0vl/+Jj+vRefr1x0jOy+wqvMqnIeWVuTvjX1/8u1zdTSO2wk7j9FQ+el48MCvVEyA5S+GhwysBCkwXnB5D+lBtrv7378NJ/lJ2Ij9yvM7JXk09TPz3crWnl/5qIVwJ3t7KUv7vPgYxg0qW7z5pQIynR06aRHeJIeqijpcFCOExuXFr+FwlxKnTV5tELCon3bj6m/QvPVTSOo3s9wY5y986xJcd57Rqu+TysWLqei3tFRQ8Xka+GT2ZwWQrPaGHNA0ftQovTycKHUN2nRxL+iUzosJDO5z67/oOeZ/WMe8djF1ITo+d8FQUwsew+sJz58t4iDqTWTlI8kLU6ygeUUvBeqpukkYDjYqiN8PHsOR9Iyaohm0lnM/nJ4QQP5rsrK9Y4KSAq5pDo5vk+Fjy74TaSz6iil1Nr5F1onbiqWvrKGxbcrpjZCrxkGoHlzECPn4Ml2qu0+dBNf6BRPAmPqaErA2ezVI4YNjVFEXm5cOG5F7/h3zYbCz74Eq477uVV8YlC/L7l7VGeC4ifrKv4WmQApmzW2kZ02XIPMhunHlFwKAodHOHbDbx46rDmdlbaDSbrDPdc4dwy5Au10qSd3nrC30PEl6dFLra9Z+PnPNuVuUtYbCeWTOvJZj41rkfpX8esdBN01J8nyNG7VfmUMVf0X/5Ki3GgYXZXgovWPyUy7FpHkdj7ct3C76V8qHc8H7OD3K8VcYFHU01pHE7YJLB5gjCTeOi7lFkn1+eNLbarp2PZ23VZboaDBRvz2pP8hIi5ITOKbvjJNf7pQPeDKGR5PFwgsxf4itDz03xInPl+K1VZ7I1i61fpmuNPiVE+niv+LfFYpRMJMWwlOxjqd/i+e5i9Me+jkycLMIfjW91C0vEyJDJmrg7ThF2Oe/UNN8K8KB9V+9hJ5KXspzkVMI9+a9UjapI3l/mbg0sD6Bgvr2j9ZQ+jQ+e/eHvlxJ+WnhAsFKZRnDJVY9//BiRtH2qHFlP92Tupc1VDmkHnXf0FpG8r6vWeULmYfOHnVENhLeik4Z4B5M8Uku5Wr+KeOTProGGHcV8XHJrW2L2lYbbbvn768jxnZmYtWJpAoeNH8sNOHJcli1qGqJ/g8L1btfg8rsC5BvEGVsc5jD3+63dhYQ3xvwLTMLP03e8y5ypQPJBpVbx1jEeNobbz6m8yUPfuLcxL8N5MEo5+v30HpKzbcG8m8RDFO/deH5YTKEgYYyJ7GQh2AVeBqe/idBz+0iZ3ykWu4r8qu+eE+DJzRTPFBcWkUZvmVGzWPiavUlYsYHBrRtf7xp8YnBojcEO15sCpM3+FqHrz2Dq6+ItFoRvLN//Zp5sI9yjbOVlt4LMtcwn1Y0jyTp9nrfU/pgAL+/I73l9XoDYaxOeL3Bg8Vje569hHMmzb07lm98LsGWO4/oX5Hkpg2y/Zx9HYraZe/0jJR6M1R3PFhgqQDDFfniNnRjsgNdU++2KaNu6eVMwyYs1R3+49KaJsUfryY4YaWVcsbYce/K1EIdTkzbtFXF4U2ShMKWczHtHaNbIZcQHVl7gR7ylwWT/Mt+QQMPo34l7Mwa3P/EG02/ReOpmEvOWzJXe4ifW9cT3R5W96eYSBKge+qguf4UICv32nVlknZu6hx8pJeuquuPNbId6Fq0XFo3LIT39Tz8ML3GYNmvCBPMqGhvpYRePE+/Wuj5jvDThpVx2dyOfzENzZ7fT+tU8HM1YVGDmJ4+/6q15CveEEE50ZCrqBdh1IGyorJEARpRrevJcBgUpRUE5pB//XTaZoM9gtuj8tErChZf8ZsuOIJ4w+vMzuRd9FAYaD/dt2sdgiKxVrOs1HpLf5am+6mNhKblbVl2GwoRH+y7MDxMhoW1PQDjhtJzCYZ1NvwlHCMddzye9Y7owflbSZ7KvBq+XR2/ksFQY4WZA+u3M9WHO/mQ/71ORpy7Zkr7rnGIxdRqDmQ63HAXke4/+8d7StYOHyOPvx/oQHyg+u+6z8UjCVzeHaSoTv5Z9XvfmA/F5c9c11fPrGDz78pPre0TB6tY2FeYJ4S17O9PXfcTrjugXXNAnnl/6Qc6acG3Yn1mFe8z5SAs0UrUh/uCzcor+q9lkTpcNyNgTrnEPnvhbZEF8e03ZFvt+Bod/LUqb81MBF9vko54SHiqSHWtdtZPGKlcbce0dHkYGxjjXyPBxVU2jxfoCh7C8CK+XPzkoCOu7TQM4/CnofHraQog7VvrzKxJJTsouODKLrF/EjbtFlo7ER32yUjTkOIy/usndo4bB/YOdNdnEi6qGC3ZKmxKPvJbT6BWtiIvBndZPRyrjXNBbNeehJA++rzea+5jGrJd9b1VJDufOi9fymyXCEHcF1Y5SDueHdxqH3mPw8kLf/MFAFr0xayLiXnIwWtn7fPghFvQ/ACU8fm3779SxT1jYLwnZOY4c5xCt8+t9y0W4TMY6ZiiNVxv7rQzTObiUGgyfQzi5a9eEkd/fUvDSHyffSfzTNqe674UB2ZdTV1n5yJF8Lp+of4Vw3XPjUbPdvvHQdePhrBmkf2ynOwy+f8OHq+qZUiXiMXu/Bw089RCisF444+0OFiVXKdu5K1hIJFamfNnHYta27hebDglxrXBTgOwcPnIaWdkTIj7e3hwZJUE8bvf8vrKHgQwSjO2NVxDen9RzV01GioZ0b+u7i80Utgx5vam8k/D64oysGCMavKKHj6KyeTiRZnF/yloe/I0zV8WT/XFBokpenfjX8hN3HhdOYrHc/vusOsLLc+oWxMbHUrhkPe3HtJMUvj9R6BmsJbnmnThRjfhwIPcq/3UB9d/1D7Ker8VbzH8QD9+11/HkqI88XOp/7xBB5kPwYNDuJskFdf9HYu1CGg5jU7N/SHCgjsk4NtwUIv6v24pr9RTkD+rHzCE9kZQhfLEpQETe59a8/aMozKjbXiWryMf8jM9/CxkKKXOS+n5uoVA254vIdAbxgehtO5z+sPg9Mnhw4k4yJ1s+Dr3zkkIJG+EgY0xh+uwfNekppB8fZJ8ct5sCu3d0GO84H18mbo5qiefjaPvV7ftbeHg//OfJGTQfjgprxh3rEOLk24yLj56z0D/sfdP3NIvNp8KrOhLJ+uxUX7x9iSJc/KdKy2SLMUPxa/mooSzCFrgI7B8y2GnzfLNGtQjahsLO9ClK0Fk9y+jDWQ5VIXEhi/ZyOOX+qvvoNeKrnWdb/92vl7y0ceXvGhqhv6Ym6H5hoVYfmpxL/GfuI6P9NPH9WUuOSM3xZfFiDLt5VTfx8SEX3apuysNi917eUMJ7X6OD68Y5kHytq3IzEvLQ/u90qxt5/wbpRwOkX22GJYRNH8FgQ+zC8U+Jj21OZ+u8rwuw6qdW+SE1DodffR9YocDh9q6bWFsoAK2fcWOSAYPxuSZC5RrSKzvmxNJkX66ty+1dmkzjn947SjPgub94u9lNgJFeuseqbzLYIjtxmFEP4dtZ1dnrDMh6LDFa+/v8/71/8hkNw++5y/0IZ7S4UKm9n4SQjzy1QtpNCN71gDmzTgjgPq3T7995io7zSd0WXhTSht8b704+x4P5bSX3HVlcHEnHb1lMY5fisS9LR9LYx06c36ErwBfVI5UTTFisv/Vzf806PhbfVPG+EaOAyH7Dh67LFND8O+jo8NNCqCxUuRvXxMIhqFHJZiWHYe1+ozJ6acwveFWb8oIcp9nmNTfIPNdtLfmd5U3y/Z9wEn9IKw68m9DCYFnummH9hO+slla3ypD9fjBC31OX+I5mzN9Ldwd5GLi05FjcXBZOLdTpVIrFUW9f4SDh4o6569ZVfiHcmt8x04fMwd1/t6VZMf95Wg4fT06+/0CFKMJA8qryPAcRPHnXWI8gBmebEhIeXOLjVei5k46J8qhqvZbcYitGBdGEeDL/ejN0NQzH0ziQ5Zg7bwONxc/DHZuOUyi/0aclOkDhTXFo7BYlPvbvTly0l+TTswuWWVXEw7TdZxsrLhLANPHR4SSyn/53X7kLh5obPiYzST+UerhI3Z9K4960+9vyCa/bNZm1mi5k4DvdPoIiuVWxZm4xK6IAn77udEsxCm7lbL6uIoRdLF5p5gshvaow/nY/hfGyyZ+GOVBYuOtl3SkrEQ5tK74kS7jvXPazrwW1HPzzK2MNh3K4azrBeNtcDqUqVfUGowUY5l6brxEphkXtDsm1Voqo+tM3w7NlDKr6D9uHJani8TC7oouJSuCVeyjvilTGil8vhvW+E2NQZfwi4Q4GzrNTG+/v5BBde7uRpTkcW6ETtJ3w4fADkXOP3+PBN6Uji+4kXCL7oYf3WACT6zedvDI5JJQ1zC3kBHh0P1BxuqEYk4wP3pirSmFj8WKdEMIBe4w/5a9/Q7j2gJtzcQgF/bRZlqak3xOmKz/dc5BC20e/o4U8GjUP3wpmvVXAk/drGuxvKKDPZ8cTZ1kOdgWTM9f/YLDZMF22l8yL3MavXNE2Jaj59vs12ZHHjtFPdRtpWC9R2Cj5XYjit13SZ30ZSGh7NG6/IIIkt6NvwSUKv5JeHLvzh4dPPX6pYjcFLDM+YLa1QgSp3wUnFV6KUL/CSmb3MAa62svdjpMcVla2V8v9xUfNT4kV5zsVsChsTlYGy0dQS6jhT8IBQdOurItR4eNbgGv0zFQe3gb275RYTOFgzSWr3j98bHl+V937KIWvZrz3by9zOC016dycCiHWD/nq+ZZi8NvD6tQrCwYrZNapuwcQfpK6VJJ6m8OoaeKNl+RYHPspqWN2XwCffycYP7JwDkkoLTnCwXbWdyMXTwrVRseckz6Q9ZF3/TDShEGu+KSMH8Ph6e3Kx1sInwsq7tf1EQ8JDB014Zi/EN7cvbnvLgkxcvBVfcZLHkxq3z9qUxVg2Tt38XNpATZor1ls68HC4oRNfkYdjfDtfcYmU2jI0KdQup2Gikor/sqwOB+bXiRZSPbdjylRfBchnldUFjfxOEx0r7FZ2s6h8LhoZiLxe8easNDtriJk2KSJA8+TfbtnrMkmO+F/13UzOPQURH56JcPh7fsNS2ZGc6iTtJYeTXrqgndkeC/hhqONk/f7EO9perzJMoXkhUbf4XgVKw6xjbzzSRFCbF/pd/+rvBDzKverHpshxNB/ADeTxqX6GX83NfLhMGIbruYIcLr8RZu0IodQvzsplsoCzF6dtcV6pwCX1J8JiwIFCLn+IEP5F4talXXCdLI/VTyTylZEUjjvy0XIE84VVxzZPZXMr4X7KSPxNB6WR12OTXmvANe8spmeHxQwvnjwgrMfDxFyvG1CPR6uj/t+sX6HAsTJ1vIPoin0H9uad/WsAuKDnouX1jNYaRGXvof0y83DqtIa6hymVM5e3NoogK/Ej4rkVgZvn7TMyyDr/2rdol97Vwigebdt6+OzQhS9PDH5LslJ55hyjQe6LBTOKu1a8J70y6wup2vrSX7Jr+rVMGIw48zkeR94LOL1i0Z13BdB4uN466VvWMy4Gs6/ZydA+46iMYpCDoa7rHzLS4QoP3x6dfVWkoNc3vW7xgLoTcuHI+Hu+gQysE4MMj9nTR3bwcD0pYy87y0Wcb+kT4+SYCH6nHhL5QgPbro3R9Q4Eq7634lKCk91tg97HiiEX1Gs1ub5NGYUHxlQey/CvYZt1Yqkpy4qmv5cG8rBnOnqmbJaGc2xIWeS1itjgcbM+Jcuikhzsba19OJwQzKk6hbxHb7c7KJ7xId2rBt8MX4VjR6b9DHhJL8H1He9MiO+f0v5uu6reWTdZTud2rP4aDQ27rhNevRq91SpJ6wCVty6Ve6jK8RBlxDV5mYhenK+Jkw6xiIgYXfP1h7Ca+de5zXsF6Gq8H5ZEjkeOifu6p2rZBA04PG91pxF/o2A/huEU+oruixqJjNQ+ndDQQmD+dbB07JnkZx5+PX9a0dlxPyKSp1dTME+ab+jXRWHWx8j/iRLc7j3RnniS+LXDbsffHnsLcDifY8KfFTkEGoj2qw+nAexX2qBpzIPd5eoTY68zSJxfrNjww4BnBxvlstksv/9vY8Oh48/TbXwhsO/0243LwtROjLOmyolvHDgnmtdFskJ/vS5JUIKDRODD1yfxcd03ef77pG+Cb8ztzr0O43vVc/Wc+MonG6TXDTRj4ZjUPhJo0Q+qpIUDyXPp2CW2vUpSJeGhYltwS7Sp5fbh8fWrhVgt/G0Rf5/OJy84zd12WQRkjMvf04OEsL+1uDKkxqEq9ZNPZPuz+Ebz6/w6U8hyOq9kvjAQM3Cx0eihMIOp7FcdAUfMi1vWxa3CpD31f35GrKuN28bT7e5xscM8z9tTSMpaEdSjfLBYtQe9TI6N5HwnUGeCpVMnk/zKrZ8zoNiUOfsaOJx50+pXg0tF8LG/9pVi4cisP/+EKdEhEZzIvBVFIIP3wrRiSH5mCjr4jGbhdfISaztBj7OvpZ2n1PC/+/66hEhrsZNG3YigvBc+eMhphUCCO5HHJAU86FfJd0glUFBNKF5bDvhw5AZEfYxuSwW9PYLpVNYhBoMnTEvQwhXpmHFMEVFLLyrtDHzDo2hd4pOS6fQUBCnX4hJ5ePf7crZZD+2CZZMzt7Cx+GbPb23YolXTv1makv6oygyc5eFJItp27jhFfv5OLnyM3fpPIOM5Y3+tsTH/3e8a3hQmhQSnJeqgFXqCXekuhhcaXGcpziHwpwT71+1PyS+khL+ypH4C/0yxGUS4V+p+R9aP35nUKt83MM6g4/c5+oG4RU8LLS65Km0gI+HyqsfS77hYV3zkrGFZL+pOFy8V/eUcFvkvciAhQK8aY8tEG+TR2t4cuNIHx7+3RbJkFyU6Yqy22hNg5k5MWHaEjLX38fPsPxBIb7Rz9/7GPGGrbtUf5vzEDhs9mmjExwWyn6VX0j6oPfLjnwzso4Tb+qNbHQg67nn5rIQR+KBogOFnXwB1M1+HhTMYTFv3JkF2nJi5PmuzbaJF+GZkcVNS1cxDtoUhW6WEeFb6eke4WkGJfwT8+u9GHRvfmZl1UAjrH/cWd5nAfa1LzvzeBSNpoR5MnFhSoD/6xz3YhH2TLmso0kr4eXTEVsHP3PoaBrdbFwgh60fjjwx0BOgs6l6mcp2FgUmzbnbL5A+mMc41s7iUPaE51SzXAkt2fwUHXkRzr50Yo5MFcNhq7xfxiiSS3l6yRZFxC8mlzf5/CU8rTXbAp8J3y87s1mR5LPu9+AKbzUW8rduX1E5w8D+SNh+JW8Gxkvub5RaIMKRO/Mz5k0Q4u/y04onDwlQcpZbq0L6N++p1G8x8ZuLz92sns3mcEBycAhPSoi9Zl/KM5IYnHeYeKd6LIeiMM7kSTWH1S/ez6uKYfC64Vxs+nfSb6eNduiQHJ+9fIavJfHNFzPW/PlwjkHZyjMbTcj+cZ5p/LNVi4PD93NhPyBA5qiSjX8Jn5S2RXlsJTkxRm6VaWYLDdV/4lpAY9PhsY3lvjQsDca5JRyhsZQrq6cI/2FkR/nTBxwM5C8MNfETwvyAyenx24TwVRYoRLhy8Lt/VnnWM+JBljX34wiXW1dpXz3fJIBh1u0Fm2yE+FFeFTB7igBnh9fJTUsX4UTSBfdds2ncz0qy2n5EAOrX+T2NhDN8tee4BBOPizuXWiM3kkFPhZbYj/RSn57uTJB+cVGdwaQISW+GpL7uVBTh0wb29XxN0nOMdu+sLBoffNx3Fz0n86FtWryE4iFGKsBnoIkPj39C95CPbQFWzo8J583ZSBJtER9MgTDgN3n/daN+eNF9DEbun+Tff5342L8/pAmh8WDh3V2jYwXoLdLU3PRQgLi3peJ7gwxWnZfYvZzsz13/blgSsogINKt/7MIi95RD9F7ip49XG4eEBzIYmOKcruVIeFZKS1LYQYHXM2hico/4UfLt1N+mAthOuXLhb7IAdv2hO0pIXq26Ou6B4kQWK4YGujeR19e+GRudS47b//6OhHDLvoXdFRU5wv+uryxRxrUHAykrT6kg8E3i2rnjVBD/J+H58duquHBH8aL6EBH2+9lcmjYgxBb9NZ5pvWJkXnWNqjgshs5eNaneAgGCW8xSmow41NcO227axWKZkcCzgPD9v9tQkzxojBVKnw0VEU/z3D6iYhLxsrj8jUsGaThMV4nVcCW5nRecvf4SeT5a5DCW9JdJW2VMiRTpS5/Dk7WCBPiw8sepSMKnU9vFsjc0CTd+cnBymcghuWnH6RiS71JNW7tsb4kw32Fjz+w7pJfl7uRn9TLYZOuzf+l0MfQeV2xqV6SQ5fW32JHMMbf1Rq7ORh42HYt4kLaZBwknRqsog/cfb5NHp7Cke4UuFHomL3P2I3we3bNSkw3iY0hcdVLFZAqaXr8v/KjlQ+1FyhuJ8SymqB8s0VQi3+vyIx+/NQxG806Euxxi8dn2Bn9XqhLONxd9XO5J5urY6t9qnSy+9m6OF59gcOfR74YXo5RQYJXu+H2dMhyS6ulnn5Swoq51Ym6NCEkHo2pvkzm1bzR4IllF+P7Ahp524slyrVt51xazeD/0a4CcrAiZ/NZTrpEi+FelLHr/hYHL3IQ3Zds5qAdeqr5D8ss5TaPKfhyHYknLnP1qFILuTzvCsyW5P/yyw7M5AkxIHnr5E+mrl/PHxrkEC3DLQzjsQSrhcevLGWkUh67t2RrcUwGm3/xavNZPEdXHT3nx1BRhM2GTsLJNhHOllVL4xsBDr23fg0wB2paHJKc85qNj1fBrFb95yFs2aVGzEx9r3u1wc82Rx5J2t5HXaXkc67WvCz5P+Nig9m/ZVh6+yTxb1fxVDjW9v+ZvdhfB/sCtR6fOEh/Sbwv9nEvmK37vXj+OxYURQd5yNIU7Pz/eXXmAjzIj15H9TylsWGU4ZKcbBbcdpabLQfo43bQtOJiPF57JER3yxLMkHe8evMLH4zn5kdNCGWSrXlF7LsNHcs+oApTy8Xan3EWRHh/8W2rHO70pdJiVTDuQwEK85HyU5wYWQ15wepdIPuvkXRryYxyLmqPsfg1jDvJutm826LM4OG73z5A9JG89Vqn2STL4Emeg06JNPFskwYbKCFDbppn6wVGAzflX+jpOiaGWT2eubhsNo4euGZ6VIuy8/KtMZywNTm0lldFJoebFOtFOwod/Wr0bF0zmEOn3SXupM0e4eevdkSQfV/6a+bFgEov7W8eazSWct1jRTWrnUjE+7cnkFH///8fehhhe5DMhwt/uNpEM47DKeefaBatF8JujqGHby6Ix+krBV8JXPhbdN3yTeJBpjnOeXcthU/D6VQ1BLNp+uqxLqWbxXDA/t+I2D/9Oq9+ZR+HHNEuXlG0sXsvfrGjSoOH57vU23xY+Jo/6FLKAHM9tJ3xSQxSVMT3AwPqKljJK4gcm1L0QQ3OngXyvN+lnk9D2pwfFmBUy+IW5L0aHvPT1sx+FOD/PbdrJuSK0TMnpu1tLYXeYiPl3/+yCvKFaiwnPL3EfvTNyC43GxjvtZl84jCybuG+KqxC6G3akvif8qFWYNChNXj//5+WthUY0rr/xiEgl/DGoUhJ2hex/tYk/913uJfO/fLr89hga7lzVor4wFl/0j9bssWbRFaT2l9Nm/7sPFjRCiocaRh8nOZZ8OOzZWyFGLfxKWf8RwuvfiVMXAf76Del7S3hdK51fuWGpEBKh5wziZ3JomRl934fwX5pid2jIFRHyxQOfLe6K8LB9sutmOwpX/A9F6b2lEPXuZoWxFQOx2EpqWyyHXP62stZcEej15/2PBoiRbKb2oY14a2Cwzta/JM9MlA3WTq0SIPsd9eeUMgctaZXuX285pLZMoTOWM2AvnfBY30hjWfZnVcV3xGe11g69vYTMs9u1h1qGAjw6oraiIkAE+S7vMQORYuzOqDn22lwRf/8INRe8Ukaxs/T0wUnKaNWp1B1DcmDMff2PtVKEc3TN7xjIc6j5pn5Rbj8LibCLc8t9GIxfWjQ2SFkBI6rT9i18rgDrl/UDtr1yyFy043Y88cuY180Gr17SOBY4ZOKmMgqRdXsXDW6kMNr7p/slZwZL+ocYLcuncfvUp+z0hSQ/09fNNCb8YPPXUXII8fzeVU5HjzlyGGq2qSp7NQ2l+uwmDUsak5zHdm8yJNyz8OABvQ0U9o3wqnnBZxBcyp97b78QJ+8XFR0XE2+ckXO4/7wSdAOj+wY1lfCF6svMrBJjc8lUwWpZAR7IvLiylRw3nXy52ssTGCgccfoutVuAGq2gdTtrBLj97qnnzqfEH41TTF1ukJw/pqq57zINakjl59dWZP7vDzcLThCjM/vi+5SsUUjvP9tV8F6Af5erV0ZyuNA4/5c78eDqiw5DA//d1z745PoKMm9hvCh/0ygG0Z5mfWmyPBSsbbjZEcaH5Divj1tHUxhz4kbLT+JBc+Uip8YVMVBPe2mivZAcj2EmS3PSGTRdapzypYP0Qkbi7tsxAiwQtH+DIw39FJfot+R1stXOPbp5fFzT2hn3rYCHsf9urJ1NvOZtm1qZAo0vVlIlL5cSX60aIeemx/z3d3+/WZR/2akpJr38eIbi4qM6PDzs4etpHOPh3+21W0oVYHy0r/J5LvHFB/N8+/QUEBsYfGz8mFFQPNg6ZaujHBYZHp29lqx//XSjV1HED3XpOImlDhQeSjIGu7bSWBFkVPtoH42/d6tixjex0K7IUgnMZGAZLaWR20G4KUGnTJNwm/U/wCOc9HGLR9D94SzeuPdvO9nBIHH8kZRvD2kESm5ur6+gUbZKYsbnQQHcmxvWzLITIFxHzjXUTYD19+eNNtnFgW/pylrqCJGi+Wy60g4WS0/H7gMtxNS0b3fU5wlw+IiKdSGZ/1N7zm8v9yHHe6PchHeDPNw3Pyil6sZDusePNN56FlXDhjsWd3FwaVq7etpakg8Gdw+9IpxJKOapDPlcS+bavi1/w8BGs+JzwFVlEKo/VTZRjKCEXomwXyI81zC70ZtJY+0/USB50bOhwfeIAwtNiVqry4RnHUzGXbMxEqHtxMEzGx4ySC68+LaU9MmH5dclnAoYhKb9niKcy2BBUGVp1kcW0p0RloadAkQZflsaoEx4bsNuyzGE+y/Ojs3ZFSyEvndDYK2J4L/7lA+TfDrzxPTVOBreStoTCgnnu0zo2h0+SDzz+YbGNnUyRz5jH9hKkt7ZXNTo7snHo+ufP59Rp1DvI+WVGcBittq+weMRLC5v7Nq89S8D08ChQ/gNzH//JvNbonA71o9wzbCdHz/eYBkwqzh/r8ccEldThX9/8OH0v8KnMODuENP+lw8jqVenDSSIH3eW1636yGCixSLTs808XDL6Pz2dd1yN7//HG9KgOudeZ7SMSomGkah4lSRRkkhGRcluiLJaWjYlojSIjKwSicookkQISWUlaSGkUvyu8+n7+P11eJzRfV/X+/1+PV/3fV3vO+7chLXEtxXFmK93ZRCaIzQYosbgULp412HCUQfOZB1+spfDim0DMiYQv7NZO9/ViuThxpL7S184CKFfuT0rcb0QGkukNrr7EL2+Ivp+cRuF2MTD09uqKIgTPUdkEb0QZnjr1a0Vwqvt69r9j4UwVckyPNzFoulRbPbhDSyiYRjQMFQND/KClXuaNWB3K0TDTCCE/cqIUT0mangZvUp/tZjUswNu8nMWiHDOynLYTL8heO4l5aCfqwnLptAfsQbD+vvZ3KXQMPPMu2+7aDS8uTkwhPieZpM3HrGLxNAdnK9gTb5/oWXp5uPnRFi4x39GyXYh3rx9rVlIuH77T/f77tICMHsSgrWIP1oTc0nJaBaHds+SydLbWGReXbX2UgWpA5a5+1nix7Qd62ZWhhCdN3kgUz5ZAK33q+cakPrZNPZP4r8/fFg+FesdWkKhKODCnNXNqjBgXVz6btCQbNec8Ib4i4P+Q/d/o/DsxEfVLIbGxuwS98ilfMiMeXKKbmDwuqpK2W8pix2rJh1+RjhEO2ZTmKCM+PmNty6ZEl/aJluz4q0ph5HXVUpWahNf9XiW8bGDNLZZTF7z4CwFelWQGXuMnJ+52xDjNhalLT4t0WReufKPWmtLKbw5PbllYzuFmUm/hMkJ5P9tJZ0n6ygUUvHcpnAKbvXzVI+EUbhU33HidivxZYFeW+7K0Dj6/tds3WMMcv9lqpv9ZBA0YfbGB200vq3RVrwbIgJGITx7Jg9hgeNXpiZRkBkRLp/lS4FSWtQ3rIPE7yYp46k8GnL1ZadL93EIUjqjG3yNxTFh/MGdhO9OrFA52cix6OO6Po2QEkBWNPPEmTYOyw6p33lFfO2QVbqP0UJBau2nh9PiKKzvWJuutJTCP1Nj9yNufEQUbvr1LoEHi4/zj91rVEVpfWPTLFYF593ujn/moAqjUO8o6Xk0bHXfvbLbReGMqu+2Ca4stJ2udI4m49v2d0WkzDwO4aXScnppNCTTZv+EQyXfpUngxMD/o2f4PmM+vG/c19DRoZClNlH99A0GW+NH4uFAASwEx8eWtHIwc41s1H9K6uLB8hppe6JHs77LmL5n0FddFu1nS/yi/ZiCjEoKwTzzuU0Mi1Olp969rRfi+LPR75QsRag7/XPJIpEA6pKFY9MJRw1bNGsY0ZvqiEDbBEMe6k/PFjzewoNu8lI3rT4amtxqhx8k3wl1+rpf5EFD827XqmP8/uu+Pyl8+ePhfV2P6EJtmPekUWp4pr1CcJdw7K4Tc8qHXFZDSvv7CSN7RZCvPes3+5oQR74vEnWvIv6+U2p7/RkBdurp+oUHUOj10zE3fUjqlJfuHKMdLP7Zle4212ZRkDkn/tY6Br4dUjenBHI4ng25p7mE0xVuN7QQP1Gd6kalv+RQWt7wqYfoYfPL+2OLSZz+TKuJ3q1I6qyn7LCSicPQN33mrnGGQki2tdeT4xPkji91L1FG/YZyle9Gqv37F2N48N9zUX2NmRCjfKLy5Ls5BN4YpWtK/HDivwOhfx7SyF7NawySJ/GuX089VGewvSZ/i0cnhb3zEharOtEo8x1kbuIpQIKLtHOnGxkXSYOk5Swskns+mZG66JNnzvvbQ+HseL1ftx9SWLHsBi+L+NpzBZuSRqxXRlqlreI88nlJe6gwVg3tfuLWxONCRKbIq18cKYTlGkrwZoIQi+6E+zUE0pC5PDO1l+SdgsEAvd4zFPYlbxya/YCHyV1TgiqSaEwYPnG2AfHP7be/HjJq58M5suTp5R98vFuw1KZ1GoWAz3ftjJZR6KInuXSR/Ek58NnmEdGZzPenPs0h9URf9nyPdBWDNWlfwsNYDrvGGoQ/JrqZGek0MSKKHOdV6bGTCGd+i/ZNdkzkIBuTbJ1SzWLRE94+t/s0DlKPPqh+Y7F1noZeJsmnM7K5CkMIJ1TOHBJutIPBcpnXtok1LLaVW20ULqD//3WiwQldSR+X8Jutr1L20ZjxWdlKi/BrPvcsZuVTNZw+k1a7yF0LSWGz5ZW7NLHMPe7so0YtnE0/0ezaLAapHhX+gQIcNhBEXx8vwOqcAw/dv3Gwmcoz8fMjcbjEqmGygRBPXwaPK/nKoGCp6eIpUiwGLvgluzKEQ5Y/+2LtbA7v9DQL1G5TUJkxOmEWya/eV7K/HYiOqx+fp154m4NwdHJCXSyLHx0jh6r4s5gr4q0x/0f8lt67pg0nOIipY2mxwRzWrswf9nm3CNoVJaKVawTYMnDltRhSf/7rp5AjwMBdV0KGL+egrn+tzgNirEhkSj4Rfu3dNX5xw0UxcsvzJp9/IgbbKt5xO4r49pNj7qnPYtCd539vtRmLru4Ehe4XQuhdXzAn8jWLsrl/RJGLBBjQVpLc0szCe2p8bpCmAP94T1MjiN5u8TmofPU38RX6Z69z8RyUbhSeNCH+KT1F40Yz8V9z69bp3TcXwTmr21yH8BjPoZn1JHn7X5+lJBbT7jpf3zxZiKq1Vd2ZxEf9m3vT30SPg+jnV5uFuRyqh9p9XU7i/d6eQ5YXT7CQTSxNiiN6uI1ONTiVw+HiWNGXdFKn8/cO/MaRcZ80z+ti9jcGw6iRdTJEl2rDFCOkuxkUL9qjW5BPIe7FhdSDhFucjYuK7bZT2G5SmviLcPB/7QriWEjaF03PFPRfT2HJ+U7ZfcouVIhO921PNfNEiHAx8hY/Y/v3adQzOJLM7I6KpPBZ4cmko/V83HT9/ZoazsfzUJ7vK2MKnrdrzQIjyLg+9UiN6lKH9YeV1RNf8aF8YuGXhYTft76sSU9eyELSHufbSQYxs6am+q5n0KM5ZbntDA4ZfyLj6Vekng3L81/9nkNVEbO57SqHyRlehfKZFGYnDgl1G8/073N6TcOmbMo+K8LNBd2u6SOCWSh+j5/hSvHRaNvq253FQ/qWhePm6lFwl2x8UeFhtUWpqUeyMnZm9g2prVfGB6Pg4Is7lSFp4xVVw0eax1e3MTUMbG4PdTm7k8aSi6915I5TEMQMz3AnvM4va1F392JAJY/LqQwkfHrxWd3GizTKpQOUh5E43q44YYPKcT6G/Paa4RdEw3RvfO/oegqKCscWvSLH/2OCreu+aKJ3v0y2lA2jEWt7J2Ueqdv1zoHuCr5EL60tQwYYkvz99/v7+5sMTm1Iexa8l4W/vdGQ1YSHZO+9Loq7wcE6lTZ5w1A4Pj4pb1oVDZO7OnwDZRbhhRoWvn84WBDMuPeRwxl9+oHpMAEmBKy/NZXE0cv4LwYZRB8s9M2WrvjN/P/rsd8nr8+mVbE0OfXOtzUU1KdK+be+Jvlu5tDzchLxIRlu47psOXz1VapcROrRf+uSyHgNvNEp97OGRtBTW2+VLgrV/A86Bxsp5ERsyF51io/Du61rG2P5+Jvpc0+XcKZLflJMhxbhDNenW+aSOrigzUm2YK4A7WcJSB7kYyHzVGlFEh88xUlX9+mwoBSine8Rf+N3jGm07CTxMGz62xkrBTBdM2nWtCgaqPkntUaOxtPjGhE7uylsCauIlJvDx9d3j1xG7+Pj6d/zqWakXis4LK5uILy01mv6ZKVnPAycWP98t7EKHJqmXB00XRUP9kgP3yzko8T1XaWUAR/yhtPOKKQSTnOdda2cR/i+urXNvFyAq4cc/MZ/V8WvrK85bI3K/792L0sYfGoNDx7211uk5vIwu1A7qm+aAHsHyVvnkHFJM17vGSkgddosnlXOotH4OSaz9RgNnZQJA0Iu02A+OzT7SwthsWhOwqFwBhUtH3vPBDDIchtc3LqMQZifoZu/EovuuidREfEMovfEmaYNJvl/uy7D7jKpx75HN50PFSGsoPfHa3cK1gXezw4Z8uETV+v0eQeZt7Tro9/wBJBsG/91kYFIqJmenk/8wHAq+vBeCkMyxzZ6O6nj37zWKuk6Br9OBN1SAo1XeWZPQmwpRKVWnHsyTwTBo7MX966nMXnlKCer82z//bUMBptb766OXUZjQPwg/aRJDGYf7dTLI/nwiNGPdPtKY7vflOgHhMemzZl/t6yEw5IfPxdFGwpgOYCMzA5Bf/+/owI4lw/ZYRkqgGTb7uljhGPCHfaorWMxZEHPxlnPONzu3C7XSLjCsYS/8N5mBrLNFWe6xQKcKy01OyAvwpiFJ1Ri1glxJzpG1TTzf9fNn/Fx7mDI8bh8wu1tLcvDuxiUrvr40ddcAPv8+S/j2hnkZDxa6izPoTCCVrM8IkRLsVbzRxUh8pI23v/9iUFHZXBeTq8QUUpXNrLTGZj8DitZTvRsn0sUnq8g/iEx2LgQFPLjN1X9eEp4PdHb8EYQ279udwuJc6p5bHYPC/tVrdJnf5D6MqOtucdagMeaxUVdDmJoH9+Rfk9HAGmDUUt8lMWQfiLP+mSp9a/zExM/lv1r8Hs7oh9N2cEHiG4t8Z416MxZBuMEdKfdSwZTY5dXVxDuWms51czHTdDfJ2C+GFP6BjMaf4VwfNhOz7kqwp8/L48MDVbDrPsm8ZbWIrAbraqj/gnw3+3TfAHCFG6ul/9BeKxQadKaCOb/+1iuvdF9fLQ9h1ea5682prBIjpcPsXnC9O8H+8ri/iUVUwNFHrQs9ycb/FTB+Ob7nqt5g+GyaFrNUMVB2NoU8Hgy4aD9m1aq/HuiiicZH/7t28THmcD0DwcVKWTfHa01Q0ThYUGPhtF3CszwmY0L6jnU5LziuldyuJEz7+B3kt+f9/1NXLOUByNb38TpChTYH4WV67YyYMtcZfQDaIRIGlcpcHh8S8Zy8ycOZw3fLY8Zz+Lih6lTFMcw8KQ2BYzi8zGdOeklDFDFW1f0ug5VhcvUpx0dREd8gifINU1jcWmMd8yrVxSMN32IbLLnI+DdlvyfFmJssTFf8uiFCDxiU0aQ45ri/OXRh3MCSG7DDXsgwNLmlNsjL0g4pdivu0gAW8Gnj9q+NIp6NjXdHMvgTNlnf4V3NPgue92Vz9AYnqJbrT2AxZvAn3OD/RkkRc7nzC8THZtvHL0slcLuHu3g6l6iP6PxZjXRhyQLpW3N0TxoWr7WsyX+QyTauXG2LB+mkg2RxG8Hqkx1qgln8fdqwfrCCg5F87u+GH4WQbmz/FGArAjvZd/ZHI0XYPnRcb2SfQ7VPdU0TfL1ssegF3qER/r2+NzO/cPCzzw033MLh3V/PTY2eHLYcm/u/nHEH3Wt2/E96Su//34F4fCiwWuePCW6G6Q7XKNqrRq+tueNYq05fDpXrPZxA4v1hVTbk0k0/ry7Hxx4jsPHCdGHlDoEODRweLJTBYMG5RcTs7bzUONVLbh1i/gpndl/D27jY+4R545pMaqQkdNzvbuWB0ZfL72hmweTKRPGLfdgYD4rffQeEx72FZ/brUN8pc25SEG1L3nVubU/V5mPlA38Q72+PESZkiM6z4NDUtbucFJ/q7lupz7C80HTeV3KFxgcOMutDZVnsDtbZszIWzRmHisv7gpjcDbsqqqmmMb8pITtvsE8zHdPjIk5wcNZWxeHq4v4kLTfsSF+YUoxtskNpOB/f0vu9iMUmj3aImNreYg1Hr40ahof0iN0HM1IHO56p73e5zKZR6WQec/PUegx1zFx3klBd7XKVSqPQkXSlaOpVzikeJ4s+EP8xOH4XWuG9lHwHct+iCP+7OikUPfTqiyktmU67CYcNf9J+/izxGf+d7/mIMmPyYVed/lCSF2V5/30JXpp8WWf6nkhwof+anJVF6P1RFPE/lVi6EgaVM4Soy/qyqJybRKv228NoG34+HO5/gxry8fZMXtuWrkI8Jm3PW37Egrvw2LitRdRuLOO0pP3pPDUSGrqNOL32bRZbfMVaNh9zNoUakOOQ8ZhUngCqe9Gf/nvcxi8N2AvKVcSPTci/5pAxr1lu8+2xXyE5QQ2xJ8kerWi0+ifB4dVS+Uuvk9n4J1D55sTvngc9024WZ1F5/IST7c9NCqsDHZrkLj7PG3CYON7FPpWmi33vU98Gd2ZkSjg4WB97YCosWR+JTfKSTz4B6T+KZhK4cp02eclhBfMn0/yVCb8m/d9xEi1Rg76ww2l9o4hupzrUr8PAkhdtzsg5U0+5zBI1vw5i+/Fx/4MLOP39/c8wIdS0aqeVikaS2tqLT+NpvDLWPVnlgXR4wNq48495KDYsE4qbrMAL3tT4oVzhHiy+LtmdrAQ53xMBl+JFKG3YsvngU+Jnv84vDS+kkE9ao2XZ9AY83pnrcYfHubpvFHKIhwoK5+7Qc6Lh3KP+/kdHIv4Qx4DvUYxGLutp8h3Pw9OvzP39awk+a78RNrMggf7lxYnUmyFCJhqbX+C5aO0biudSuJgp5q07g1jEneXvzXsNOTB4p7cH0l/tf/2ZSkIke5hT58KFOHBUd21U4jfWXi+w3H2HBbRZd3ypsVkvM9tUG+wJ/nvcZ45vZ+FmXv5Rm9NGluzrfwzaRrXE/f/W7KFxoiKF9NuJ9IYLH07e4UHHxBuard0oVC56lHN4t00DjxWmt84hYKXqp3GpgUMfqusu3ZmCQu9/GLdMc8FuDSCbfJdT3hCWbTfeacYz++v1fY2F8Nzy/zRNmR+3DI9htVTQlTGamwTEH838Pwgw8GnaZw6tOdCdh2Fg8kdY6pkGOS+HFjH9HHYff6AgwPxCZLtygXET1f2NaoKksi8JtsEziV6+LBCN2j4FiF8nFOrOg4Trsu4tDWGcOeKfw4T/Z1IffbgtEs/k3npvqxnSuryKwf9S4eqeRjSPfHnI30+4iaTQm9N+NDgpKu7DoX7ObOvTdCl4HwncVPnRz6K55xZItPJR4fm4PeWo4iuxEZG6fmp4FqJzjDXeXzMuml5YbojyZ9VIxKekHm12R/YqU+44Li1+EZoPYulT/ambesSYt+C3bOl00XQSGWOXVYTQZgS6zvnqBDzdG3fuWnT2DXX+VGjoQgF0oPk+Coi7LLW3dBBzjs0t/1FCInv/9bREN0h1fStZjyFvYtrW2ZYMlCYuknVgNQ3fX7isy9+LJY7Wgx2Xk74+nS7TlMHBY31Y2vD5SncLtojHDWVxMOWHoVewhcjD82c/LSScPvFmU07zwlBBf6bvthdhCC/acu254hg86DquiSuNfPDgp6a0Lj3IH7i4dkUpCT/uEh8x74rNnfH8BDvZFP5oV6AdZc8g84ZcWACr96wmsNhauHIpXnfBWBUI10+hXKYmej2Vm0gD02LXthJC0ndLXRVGEi4evD5j13H7xLdG77/cL5AhJMhy+ameIshaZO+7Cr5/hHHFtMhLL55vljtdoDGiiM1zvKraCzryKqPIe+PUvx1dAGJE+v2ELkSDxp9HrcCvMbRMFCSu5agTOPzQf9tdrKEw5XW6m8l4/jffR/yPemIwJYaAwFmTyx/uoMcf0qVRetIcrwfKsQFl9YLsVnSYHUYg6qjW+0k61/srfISx0n2AUvWr3by8NZ6peOZzUI82DQxTi5AgPKUo55m8sL+8yDj/STDMl96NYODqB/I20zDgZr5sG4FgwVH32qdqib1IrPBSmsOg8m2VWkLcmhM+KVrYLCQ+N7KDy/bzUgdSPyrc3YbmUfJhSV9EdoGBh13J/EQvGzrM8MrpM4prFEYS7hni0bAg4GkzphJQCCOhypz3WMjdvBRs6ZxvFoljbNvXrtqEs4447IzJ28PBe/OlZ5JDxiEjrPaXDKagZWUx+0IMq/iK6avtrxjkPj4w5BtgcQXXOqWKdnH4du7ESrppJ4P+bF4klURh1HeFwefC+HgHOrc9nwnB7Ow606pPhy8f8ZftbjHx23LJ2mm5HjKohmHbFJ/8xObr1cGCpCQFLtE5zjhg+qrhXXrSTy0pa87UCvAgnu331YR3fiPe4jOkegTFy0X4pu5xSRvKwofnjsbXZxC+F9mpLrVSAGWqMiFjF0jQOIeL+2tLupooKZr7mhQw+MBmoHdhFtu6ZyaNoz44ceh7ewIYxFa7t8c7lUnhDsvLimI+Aom6j1lGk/3r/9dzMD+wZyHV50ZfFpfYahP9Jd9+WrAshYGCQenPG4u55AtP2NeWScLS0/NMZ/MOUjs6YYZHA6al745ReoxMnnD33oy8EjVfyK4JoLuzY/u524SP3ns0F+/vxxWl4zokh5LYxXPeID9TxoFCTe81T/SUN1TUf0+goaS1+XY5Oskn09XvZlnSKNwpmP83HAa7j0dS06RvOG2qARV7aIQ6hnS4ZNFYdGr4g5rwol7Cs7vlIvh4bhRYV8+j9Sn4ISvRaQOZBcf+fmb5FPOt6Tem8V8mF36U+3bwIOvpCFWtCpC3GrO5rvQiNjtcTfnDQfV947V4y4Qfuf/GnEYiuCux3idJv5A0/2+bPh3BjtcM1Ya5bI4NTurSdWB5HXf85yFv0h9c5/0e+VNBmW084O3sUI0xp9r090kgGT50OIaDmOCRw/VIpxSrP7jm0uqAOzpf3MQy2HpfeZ8QAyLwzfE+xV6yfmVJB8wWcZCY4R56wZOgANLb1z9fpJDy49l63Mfkbx3nGx5jRWi6NfSwjkk7tsurYx6IMuipm2V5ZgqclyOyY+eN7B4luH4ye0lh/Gy0q9uHKexf+vZfYMIV6xZfPLX4o8sxhS3pM3awULB5mPDayGHewoWuyeuIfGbSw14XcXDIbklg43WK8PFqdM8f6syGtoutMVf5cPLXL/udC0fkjbnxRt4iP5GQILopmRbqUEY4aqMj6u98wZB4OQu3rhVjM3pA1rdbEX4lWHhOGqsCFV+7JYrP1msc9/9iJJlYGdjfWqRpxDWPxKMDTdRULzwoSm6iOrft+rMQdqr9MCFdBYqkkbHpJ77Z60+WLWVxWMFne0jyPGartjXuTOFhlb2iPKFUULEGjpc000S4sWzCSXPG4W4eVMffsQny+BGyB9VIY4tuVCm6CYCU2lT/U1dDcp0zpEQ8nv/9Q/9Ksb2oslRMuBhxPLfO8+k8nBaaNK32JTGunybKd67ST5MvnZ7cy0HyXLV12T+C0nYFTVzGKQoXFI/joHkalLgDBbnsvV7i3rZ/uvyk4QoqIH/zBziU0yDGjLsCN+tbbihL8dCzahOe+BZCpJl1rgmwOrZZROziU81fnVCbuVMMb5p3Zkqn8xhaIaDVrm6APcP/Jab/Yj4kSux8vU1KjD8I25/4KCCOZ2H1xftUMWgscPXX5Y8n2FAdOPb5P/1e7hA6n9Qc3iNI40LOVJ5ZgNInk6xjpT1V8UWyYZ2Jz60GX7u9RDCgRZW5+3cqX4uj6agrpR2IVKWQuoSEnGHWIw8fI0O72Bw8n7UkZnLOPj+WHOgvYT4hLU9fecj+djlc2lHljfJV6/EM/XLSD1/H6dxm4z7f3V4CI3kG+9H25aziDjwNHN/mxDDr5t2P/MXoONUJn1rpQjmozT1pNdoYKuMQDy5WgMfCnM7anM1kZaRdkP2sBgheVXHBGS8DQr89ygSPtg7o6bpN0+M99M8rJLKRHjGV1rUt0wNoyjfvV6xYjCSxsa/BBjEWWaeHM8hdlaq6/uxLKJC3j05tJFFwcL2RwMGsdj5Wtff1oxFflGuw2E/Bsl/W6fvOsAgPXTp1IhvLOK6/LUNJglg99fzXf4t4if3/bCrIBwzfNTIDxtOsNj0b1WuDxkfr62jmwqtSHwWK846zXLgP1N07VRj0dJoqd9OeFH+zlHH419ozKqoqmmupqGmJOn4RYFEscPGDj7+7fCvq8/j4fGFNaov43loX7Ei9uIyPgbIKmjZr6X6+1KP5uGJjo98JuHj2UXNlJa+KhadOneL0VbB5+FvF02P5GGUwq6SszMZNI1oXL3xDwPbiR9qkuZz+Ll36oImTTHunFj7xipIAwOjjznnjxPhxMjMZ7NXMpj03dhuHsfALHGUWcU2Gor746aXJ3AYazFnXflUMc7G51H+msRvOZgs63kqxK4VYveFRUIM3e5pE2fBR+egoOJrKVT/ft4qcrwba7xTgyhEmiaMnzaW+IPE9aL4+WQcYpa9r3lF4+O/fWec2mgMsrpyQIfk3e0P7OhPd/j4eSCq+udcCg3zf4e6NfGRZNtuc1KRjJNBg9Rl4lM+J7yZ83sWD3X2SrETXXioHXLy+s8ZPCRFj7pz5AcFyeMVbixlEJE8ZFpXDwNuL2+z7mwaPGrBV10f4kPzH5ZtIT7v2nS/6/tbKcRZ7lmYlUjhoqO+0uxyPuwEyfOVRBTCjxkvHfeDcBG9llrPcIgb//rXHScGhXrGc2cUE34xXD5ShXB3+N6aKymHCHd5YtehxRxcx1y7Pz+IxtoBsQW7pInPS9JkEoiPOmB0fHsx0cPpvz63XrRkIfeSm1o/m0PvivUvZ5G6bFvmdOMo4avwHx9KXIlP8ZMYj9kMjuZsmh9M+GiFkrWmDyNAfG1W+hXi+4JCk1VF6TzUqN5tE/vy4fbdlWq+wkfUgulp6ZM5SJYt/ytjIFc0/YQF8bHvdTMeGvvSmPK6/vpLOxZFabc2rs5gsPNZ/btBNIW1fZNHO63lI6Hw1DEj8nvKMW87+l7z8PFH1biJxDdXxEuNv2qhjOMWH2zDu5VhEL88eALxKWEqR0YdtKXhsbcvaLgDhTGBEeVep3j45qL220rEYn9Tt6EUWOT0uvg/F7P401R16IkM8ZNtJ1J/DqBxeUjFgnEaLI64PPg2lnDnn1nyvQb3WBTXBP6c+5VDws5FciYPuP59ohMEUJiYYBtQLERUWapjcYQAJlNqt3T84vDpWsj+ngwOp3as8G4ZLMTRsoiVv6cJ8OjqSukaorv8ew3KxsksLlXKl1evpLG3cR2/kPDLetW5azkSL8OiWpdWLWRxrcsvfx7Rl2FGvLMqjmQ+U4wL2sYLAOe0KQ8qOJy8pvlk03kBqI0vOvJfC/DtgPCHfgzxWdLaDRVEl//r9/eQxfWtjKL0HgYP7LfrbiJ531Vxxa7MhNT9k+Yf53szuN75s3T1UJKnpTfo6asY1GYaPpn4mEaik4/eQSMGa6tS20bV0bhffXGjI6kXt+5UHDE7wsf4VYpNG/aTPPG283AeyMCJWtw5XsKX4e8znVaw4Ml06LgQX8d7Lgoc85Pwr/P5Ww8n87BV8sY4IQ6ci7AaPUOAyZsXnBnvQPyK4iXaYaAAk3pr0owdSL7kDPDaR/Izi3xsaRfd379VnsXMGfeuHminseNb1YO5hDsiXv9osSynMdX6a1ONDMkvyYNYlnA4/tlz+mhTwsc2o+S10uj/f83ZOYKb28qhK5gv/eEoh8m5zY99hSIcaw7z27lMAC3JAvIgwjEPeNf2mQkh2WYXZKgO+twnYU2NAIqNU7PaLQj/zv13rzqTAit5wMlkCkM/94UdO8OD7t6nk87Zk/GZZDJ+biSDW19kZC/00ZhUvLmu9C/RxeVqdKErh2fK7nLWFgLEzXFp1dyvjOIPum6W9/l4cXVOV6ktg5+n8qYISB074VDCX8jSGH8S88yJ71O86FA0juRRpMG0xNpTFJIvxe+ve0F8bTB7YYIyH20vSqe+JXGsO8hx7MF9LKQ15Zn0tTwsyeUflTUV483TGVJ28gJse/WnySiW6e/Lpcj8rz83i0dbj626a8riTk9DRYyJKqx9NGyGLlDFl7NanwJ6eGBzHL+dWayCJRd8nebnEe64/+zpze00qktdBknWIUi2l8d9YTHrjnjF851EZ44fWWpnTsFrRMGA04TTXl5vM5muwQeJlto4Lz4GSRb85NFY/cBQ3liNcEHrYUMVoQD7x12/MJroet/Q1oca2/hY92x4rxXh273DeC5jXjBYNtd6kPdTBnMdFspM0hEgh7/j1S/CUeft1+4w7yLzrvpsbsN1Gs4HvoiDCdfa5+msv2NF/OTNyH2Dh1D4/tdwGBjiG0sOHJsVRfzGsbF962QonH2cq7LAnIUE8+YSfZ7XbNcQMF2MomOhv5ZMVsPWQ/c3z/gkRubG5UuPHhBhVKvK41l9Qhx/M1Oc8YnD4pt/fcvzRSgLKkoTvxXC1CO8ejTRfcnjZQIIJypGXwjlK4pAqXeMvJ8gwqakR5sWrRJBsoze9ikFua1LKveo0hjqkVLUvYDGUtd2Ty0S/2lrmYyu1TQk243nfKQgmzcjXZ348B9BUc+3q5I4+pwWffYcjV77PUpWtAjJaz4YDh4jxMNJwZzQQYT5ZfxtGvEc1lVkC5bnM+BJNnbUs2id5ub9Lprrfw7ZZhH2i+llhnGC/u9F0zCUf7H0HUPB7/u3VNkfJJ5dizY5yYjh7HByv8szAdp33pqQOEAEmdFL7phuEWKFvHSqm99Q/Fjnc7T5viY2NRpN5mqF/ftqLVhMvfbh6TZSd4Rfh51WInWz4f2R2wptLAbVTDlXcJv4s6y2iOyhAuzb51TdTOpP3cFRjz7nC3CtzuPIaVI/N9dURgakihGuHTfs1TCiQy+8+Jv1WTjyKqs7lAlft6mdVVDk0HM58usJkufm6ddcjQmHvJmoV+DhJMIjfWkTxa9CLGxKiCtpFfZfv2kWwOeLy9RRVQI8LhwVr0bGTVWyUSFbgDN5TlOXsyJsuDLFyddAE9ZW+gvzgzVQtNs5ZdUnLRiPT+m6V6kBu4k/Bv4gftdnRIXxP8JRt9mk8XdJ3C43vDGw9D6LksXOV+ta+RirXBWo7sbA0fbQ0to2AZKdZdcbiolOPGy1zCTcneaSfrNslhhaBl3rduwUYZWtk23mVRHCJA3N7qhhuf2Ba4dD1WErk7NN5gWHWqO080JfAbbYCwULXvPhvUXjUYQbD1rpf9b7BPJQeNh2u0ccD6nCjFvvg3n4vfHdMf54PuxVxu53HcQHHXo2bYIc1f/8lo98zOsaW+BG8vV6eWjdl/b/+VlS12y8+wadTeTBvEVR+tJ4FTRssBvCJJH631jus2o9jSXTfaZI9lXahxlFy/+ioJtXO3vbVA6bXY7rprXwcbTclZ73XQh1yQXgKzTqu7TvLF/BIJCb42t6nMOy3WZdGp3EV58cPdcsjPB12bd91k1Ej1PnDYp7x2JHWIjI5AjRPe/Iw7e2ET8bae14tpZBFTcm59Y/Cs+nXcryFdPgfkZ67Cd61O6RO+we+Tu1oalZzl9p6ITtPjv7Kodsg2erthOdPuhYVv+7RBVTuwpiJesjxINceA4fSBxezdxc+l6AKY2yMikmDEa5efhaXWbx78ZOnjKJM2e7MVnB5HhMPVsu1B7m47DF1LrzoRRUfuyatVyFRqHmrF37VVn8sneLMSN6VqH3nal4zEOlSN5BOoyHea+Dp30LoxDl++lNwBwWTyjvAS7k91f5Rl8WB7I4PVXmuBPx6/YdeUd6BrAISBlv+IyM7wu/8tYjpTxUXPf4WZ5J4uvlovyKZhqSxx3s+UsBzxdfL/ShYR1jc2DiaArB46si64guzgzo0ZIrYJE7x3redwMWiUO/GDacp/BO2mXEfKLL744oHd4/lEZ0qp639W8W7tp/1wf/Y3FiC++02XAW9uZh2qZ3GBideehsG0z8pGeavYD4zAi/hvJ5fWpYtvDTXP5tEdrbpW8Y+YkQFd3e9n0aH6Oe6MlYXWXREXZCWY1wjs/T6BO7GkS4L6vj+eSZEPpD2sLCyTzsqxy5z534nPfC6x12IwnfGvwapTCPRk3X9TdJ0jTmn5j+2fUlhfyjt70MCQ+0SO24ueUe0V1lBa+eDRRk1g2kayr4oHamRI0W8TA088sCe+I7BW7bXJSJT/X78iH8tJjCHJPHb6OSOGw0Ecg8PMDhyp1NBWHET5WZtXRVET9wyJMLCyf6ppZW9nfzSAqW6aWRO2bz+/u4zyP6HszP1FtBYcDMW/tmfOOjusLk3p0xNOJ/au34QPj9zz0+z4zE87Mp6mF9LTQ8p5QMHJTH4tXlQzGVsf/j4Hw+PAX7jx3eyccQSUPFeh5OqSTeKSTzWsL7+nWYjAruBRfu/3uD379v+h4fVdsObWvtJJ8/klH6tY4H8QOV6JFCPqYeiKR8tqhCp0j77TWowr1x5CMTLRWoXKppOTiSQWrp+sWv8ln0vAh+rRTCYoBkgbAT4Zvu+kkLK2n8WOWxq4BwS6PX6J/BJF6iCncOnUj0Z0HAuavGbxiwdVoJxzz5GCfZoPWPD/Zqs74e8QP/3UcKp+Ct/dJSeTeHQrf6yw+UGOwfPzyylvjC//ZlVLIYvty4ZbUHh2+UldVjYw63EnTtP4dzqGz1+HtJlQNeeZW2hHL99+1vEF8xjH9LnuQhcQftA49TOFN6bbBZFoXhH6xUTrnxMeOSwGX5RApG/7ZdW0XGs9ct9q834Tnd5ccqx++lYafa9H3ILgbQP2k7hozb9zxLq2XmfEguZz9TYDB7ZUbUOaKPSpIHVI1ncCNu5fW8zQyyL962tSPzNdHb/cSLBgqL1tSP6JtJI+CuvnDSHxb3RiaYD5vGId5547grGXxEh7+6G0v4W+3VrZaxaSQP1CcGe/Zx8OuUf7hukAgx2xVGLNjOYLBSfcu/UgZne++PWdAgwNsTZq1eOeQ835aP/fSahpVzT9ck8r6KBCB+stA54Wj0eQcLqXDnDNvP6uhR6H3/ebYYOSlfT9+fSnSgbW1ojpQ6lO/Wtn9yZPrvs58j/CbsHuh/TIAHtlsF9q+Jv679nHKJ8PFupcZujV7Cz9tGyvw+rYHyD7mHr/9Uh+P6pzWhxRo4s3rE1x3B6jjjM+TdQi0evlvIlEWPIvlz5G/4Mg/Vfv9Up4qLqi17F+rzcN59nPjSbx5u2CRpOC7hYe7o6t6LmaTebXQ7rUO46vPb51ayoSxu1bW9GHaIhZXkAXW7ia++/rn7uakAVhOaX+3ZxeJ4vP6Ln8Ec3phsdA0ScXCzHVd+KZ3kRURqQagHhZsh84/qn2KglzCy00KbwZTMhZe79zLYkX14lsdQFhOV50RP+UGjeArf2KOFQsdgcc8IfxYzVvdqfMoSYeySyXZyCTS2xyWOz14gxBbvwmWuvQLsevq45MldAeY437xR5CxEcC43qInEXaOz9LHIxTSWvTnxaKA0D91ycl9/kfga+Nv91a4vPPgnLI1w0aKQs4jtcCZ/L6NFowybhditVXS6IksNCn/U3FK9xTj1qTMiaYEYZpd9LmqkiiCYm5YUQf7+kUwF/y0CGpWvYp2kqllsZ2Ko4PlE11qGZ/YQHlqrO0m3cZYAX6cmfKqpF+BinO+hADlNOK66kt44UgPJW8xqT+xnEDT8w7HSMAY+tg2eb1yF8Ip8N+v0N8JD2cY2jh4sBAVNBnZraAzzy+/JjmCgMdnm708ZBpa54xbv7NMCP5a/otl6CCzu+1fmH9aCxsYNi/faDIH+n65DwhR1/FKc5tFozGDy7ZPWMdPp/n0n7yiUmbKOwQYa6FbMtskeqIEXGz4IZP3FGDG/91CUWIyklnHPJPcVjV88WqjkKYRkGYpboBAz7opc8zSECNlbFjvtixDKE979KIYGrn95EnqyWgMR+QGNObO0YJX7p+c+0XG5nysajkjW1ciqf37jyiKVW7+In0F4vibsYinx9S5Zly4q2TBYlTzq3xqSX/WjwzakK3M4Y90RxSxkcHxD9dhJ9TTY0gjX8hAGIyU33sdyCMjuuzWN1IX/+mzdZdFn5nSYR7GQPG7y7Sce6vsOn7Kew0NMzsxLesakzvwozTUldezyAOdlrwwJPwUbOUe28vDYqfa77j9V/BkV3Zk+nw/Zl3KCmEAOQYGzAi4vFGLmx4KTL3fwsWDHldLLqnzoXEipmL2PB4Xkb9L+hAszXht8GLmcQppjsfRkomvhaQHvIUUjwbJrStAnMt7L9B4NIedbp6lfqlgpxNOcdq1B31ks+sUk9E3mMJ1VnVjawUE38/Lv2GWqUJI8sPY5i/nJ/1w1vnD40/i3OWAEhZ0NG1UupfDRumn7FftbvP71Bn95MNz6wH67uwhFdfHql2cKMaxm7Dc7ouunCuZbB5M6qBNdrO64mtTteQ+HHslmQVzjYsWPDHKPdpd8I/Hm9+DXqXVjOLAr5kulRArRm9RZr98uRMyNvzSlxUJjT4iv8ioGBaOnh14ZK8DQLKmoXFkBjuc7Dh99isMU2WmxasVkPq/wnm8Y8L/rE2IB9DJ0mj3PEP+2vPvGYCMKNvf/Ko/v40Fv67ew1od85OR25dt6KuGztr1Jp/YwqHzPPS6/SASb11L8WCsGP4b5nq1XZvDI+6CrNfH/qWMXjNBYQ+Hp3J2uf4nOBgU1nTPazAO3dfPMSHUeNrk/2RZYpYrdqVJG1SNpjBvktt2E5OcDaTk913jCES5NgnBFPrLmuLnLHuND0j5U5jOHKEW7dB/is71N/sQ8J7owMs1IfvdiAbphsbjgC4WKQYNm3LEl3CFpfLqXQuyO5Lll/sTfxuiHC+UpXBEvjgokPHFE+u6H8jA+VJrML/aS9/97TpKvGK1y89wenhH1r+NZJsaDn2/rD/DFOC6d9Tp/trD/+txBIZ4EmWdbThRgPaQfHiJ6+n3YkpCYABWkLdt9MDuchplZqd9tHXVs07dYGbRcHY853kLVRDU8y+OCK1LUAMWQHpGCELELFpR3PRRjsqTB3wYRTme9W7zyhxbU7h88OKVThNlDXZvdbjP4+mWanZkdg1avc3LJEwj/pp9LKYikcDmg7+Zkos/1cdk1vYRn/7tuXkzqQc+usC+ZxK81hjybkidGxSGrq3e+iCBybp5w/b0IN7gd3Q6PWLy2TYwH8UVyg2vLSwVcf9+btzwcm+o1ISSP/G4eL4m2p4ieer17SDg+RHpZ3oYABuqSBTdaAszw1vJ286cxvjO8KmI/h+uoS550gkWxTSRjQXyr9gKfRYJNxBfUKi0dT/yRYvucMvsUIXw7z/P+6IuQcLtR3WIqH28sSn7VE74655JUr1pGIVeK6mh8QXzIoVenjs/gYRx1nL/WW4gd6xdUri4VYIda5trpn4WwcK5O3xVDONZCuXA18Y+TtHlKp7arI67xdWdsmgAbTrlsivnNweHKLjt3cn6B1SGl3xRoTBoZr1TUS+FRYZCW6SsOMsHNbw4eZ/F/r6MDawB9AAA=\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"alpha[1]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"b[0]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"b[1]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"w\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"6cb39a58-99fb-4df3-a23c-66fe591e475e\",\"roots\":{\"p4130\":\"e094db82-3343-44f1-9b14-66e32b5bfd0c\"},\"root_ids\":[\"p4130\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p4130" } }, "output_type": "display_data" } ], "source": [ "n_ppc = (\n", " samples.posterior_predictive['n_ppc']\n", " .stack({\"sample\": (\"chain\", \"draw\")})\n", " .transpose(\"sample\", \"n_ppc_dim_0\")\n", ")\n", "\n", "bokeh.io.show(\n", " bebi103.viz.predictive_ecdf(n_ppc, data=df['Rex1'])\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mixture model performs much better than the single Negative-Binomial model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "You have learned how to use Stan to use MCMC to sample out of a posterior distribution. I hope it is evident how convenient and powerful this is. I also hope you have an understanding of how fragile statistical modeling can be, as you saw with a label switching-based nonidentifiability. \n", "\n", "We have looked at some visualizations of MCMC results in this lesson, and in coming lessons, we will take a closer look at how to visualize and report MCMC results." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "bebi103.stan.clean_cmdstan()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing environment" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python implementation: CPython\n", "Python version : 3.13.11\n", "IPython version : 9.8.0\n", "\n", "numpy : 2.2.6\n", "scipy : 1.16.3\n", "polars : 1.36.1\n", "cmdstanpy : 1.3.0\n", "arviz : 0.23.0\n", "bokeh : 3.8.1\n", "iqplot : 0.3.7\n", "bebi103 : 0.1.28\n", "jupyterlab: 4.5.1\n", "\n", "cmdstan : 2.37.0\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -v -p numpy,scipy,polars,cmdstanpy,arviz,bokeh,iqplot,bebi103,jupyterlab\n", "print(\"cmdstan :\", bebi103.stan.cmdstan_version())" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.11" } }, "nbformat": 4, "nbformat_minor": 4 }