{
"cells": [
{
"cell_type": "markdown",
"id": "fb4093cc",
"metadata": {},
"source": [
"(clv_quickstart)=\n",
"# CLV Quickstart"
]
},
{
"cell_type": "markdown",
"id": "55cf0b5e",
"metadata": {},
"source": [
"Customer Lifetime Value (CLV) is the measure of a customer's contribution over time to a business. This metric is used to inform spending levels on new customer acquisition, retention, and other marketing and sales efforts, so reliable estimation is essential.\n",
"\n",
"PyMC-Marketing provides tools to segment customers on their past behavior (see [RFM Segmentation](https://www.pymc-marketing.io/en/stable/api/generated/pymc_marketing.clv.utils.rfm_segments.html#pymc_marketing.clv.utils.rfm_segments)) as well as the following Buy Till You Die (BTYD) probabilistic models to predict future behavior:\n",
"\n",
"* **[BG/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/bg_nbd.html)** for continuous time, non-contractual modeling\n",
"* **[Pareto/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/pareto_nbd.html)** for continuous time, non-contractual modeling with covariates\n",
"* **[Shifted BG model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/sBG.html)** for discrete time, contractual modeling\n",
"* **[BG/BB model](https://www.pymc-marketing.io/en/latest/api/generated/pymc_marketing.clv.models.beta_geo_beta_binom.BetaGeoBetaBinomModel.html)** for discrete time, contractual modeling\n",
"* **Exponential Gamma model** for discrete time, contractual modeling (coming soon)\n",
"* **[Gamma-Gamma model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/gamma_gamma.html)** for expected monetary value\n",
"* **[Modified BG/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/mbg_nbd.html)**, similar to the BG/NBD model, but assumes non-repeat customers are still active.\n",
"\n",
"This table contains a breakdown of the four BTYD modeling domains, and examples for each:\n",
"\n",
"| | **Non-contractual** | **Contractual** |\n",
"|----------------|---------------------|---------------------------------|\n",
"| **Continuous** | online purchases | ad conversion time |\n",
"| **Discrete** | concerts & sports events | recurring subscriptions |\n",
"\n",
"In this notebook we will demonstrate how to estimate future purchasing activity and CLV with the CDNOW dataset, a popular benchmarking dataset in CLV and BTYD research. Data is available [here](https://www.brucehardie.com/datasets/), with additional details [here](https://www.brucehardie.com/notes/026/)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "65621d72",
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"from arviz.labels import MapLabeller\n",
"\n",
"from pymc_marketing import clv\n",
"from pymc_marketing.prior import Prior"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e43e42f6",
"metadata": {},
"outputs": [],
"source": [
"az.style.use(\"arviz-darkgrid\")\n",
"\n",
"%config InlineBackend.figure_format = \"retina\" # nice looking plots"
]
},
{
"cell_type": "markdown",
"id": "fa22b108",
"metadata": {},
"source": [
"## 1.1 Data Requirements"
]
},
{
"cell_type": "markdown",
"id": "f773bb65",
"metadata": {},
"source": [
"For all models, the following nomenclature is used:\n",
"\n",
"* `customer_id` represents a unique identifier for each customer.\n",
"* `frequency` represents the number of _repeat_ purchases that a customer has made, i.e. one less than the total number of purchases.\n",
"* `T` represents a customer's \"age\", i.e. the duration between a customer's first purchase and the end of the period of study. In this example notebook, the units of time are in weeks.\n",
"* `recency` represents the time period when a customer made their most recent purchase. This is equal to the duration between a customer’s first and last purchase. If a customer has made only 1 purchase, their recency is 0.\n",
"* `monetary_value` represents the average value of a given customer’s repeat purchases. Customers who have only made a single purchase have monetary values of zero.\n",
"\n",
"The `rfm_summary` function can be used to preprocess raw transaction data for modeling:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "5b56f8db",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" customer_id frequency recency T monetary_value\n",
"0 1 3.0 49.0 78.0 23.723333\n",
"1 2 1.0 2.0 78.0 11.770000\n",
"2 3 0.0 0.0 78.0 0.000000\n",
"3 4 0.0 0.0 78.0 0.000000\n",
"4 5 0.0 0.0 78.0 0.000000\n",
"... ... ... ... ... ...\n",
"2352 2353 2.0 53.0 66.0 19.775000\n",
"2353 2354 5.0 24.0 66.0 44.928000\n",
"2354 2355 1.0 44.0 66.0 24.600000\n",
"2355 2356 6.0 62.0 66.0 31.871667\n",
"2356 2357 0.0 0.0 66.0 0.000000\n",
"\n",
"[2357 rows x 5 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rfm_data = clv.utils.rfm_summary(\n",
" raw_trans,\n",
" customer_id_col=\"id\",\n",
" datetime_col=\"date\",\n",
" monetary_value_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
")\n",
"\n",
"rfm_data"
]
},
{
"cell_type": "markdown",
"id": "514ee548",
"metadata": {},
"source": [
"It is important to note these definitions differ from that used in RFM segmentation, where the first purchase is included, `T` is not used, and `recency` is the number of time periods since a customer's most recent purchase.\n",
"\n",
"To visualize data in RFM format, we can plot the recency and T of the customers with the `plot_customer_exposure` function. We see a large chunk (>60%) of customers haven't made another purchase in a while."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d6431c58",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 511,
"width": 1011
}
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 5))\n",
"(\n",
" rfm_data.sample(n=100, random_state=42)\n",
" .sort_values([\"recency\", \"T\"])\n",
" .pipe(clv.plot_customer_exposure, ax=ax, linewidth=0.5, size=0.75)\n",
");"
]
},
{
"cell_type": "markdown",
"id": "d069bc02",
"metadata": {},
"source": [
"## Predicting Future Purchasing Behavior with the BG/NBD Model\n",
"\n",
"This dataset is an example of continuous time, noncontractual transactions because it comprises purchases from an online music store. PyMC-Marketing provides two models for this use case:\n",
"\n",
"- [Beta-Geometric/Negative Binomial Distribution (BG/NBD)](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/bg_nbd.html)\n",
"- [Pareto/Negative Binomial Distribution (Pareto/NBD)](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/pareto_nbd.html)\n",
"\n",
"We will be using the BG/NBD model in this notebook because it converges quickly and works well for basic modeling tasks. However, if a more comprehensive analysis is desired, consider using the Pareto/NBD model instead due to its expanded functionality, including support for covariates.\n",
"\n",
"Let's take a look at the underlying structure of the BG/NBD model:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "40d5f47d",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm = clv.BetaGeoModel(data=rfm_data)\n",
"\n",
"bgm.build_model()\n",
"bgm.graphviz()"
]
},
{
"cell_type": "markdown",
"id": "27369174",
"metadata": {},
"source": [
"The default priors for the `r` and `alpha` purchase rate parameters follow a HalfFlat distribution, which is an uninformative positive distribution. The `a` and `b` dropout parameters are pooled with the hierarchical `kappa_dropout` and `phi_dropout` priors for improved performance.\n",
"\n",
"More informative priors can be specified in a custom model configuration by passing a dictionary with keys for prior names, and values as distributions defined with the `Prior` class in PyMC-Marketing."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "3af6449f",
"metadata": {},
"outputs": [],
"source": [
"model_config = {\n",
" \"a\": Prior(\"HalfNormal\", sigma=10),\n",
" \"b\": Prior(\"HalfNormal\", sigma=10),\n",
" \"alpha\": Prior(\"HalfNormal\", sigma=10),\n",
" \"r\": Prior(\"HalfNormal\", sigma=10),\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "cc17d278",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BG/NBD\n",
" alpha ~ HalfNormal(0, 10)\n",
" a ~ HalfNormal(0, 10)\n",
" b ~ HalfNormal(0, 10)\n",
" r ~ HalfNormal(0, 10)\n",
"recency_frequency ~ BetaGeoNBD(a, b, r, alpha, )"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm = clv.BetaGeoModel(\n",
" data=rfm_data,\n",
" model_config=model_config,\n",
")\n",
"bgm.build_model()\n",
"bgm"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "cad20dc1-ebfd-436d-a364-0afd7ea4940e",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm.graphviz()"
]
},
{
"cell_type": "markdown",
"id": "9a75b798",
"metadata": {},
"source": [
"Having specified the model, we can now fit it."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "d0667779",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [alpha, a, b, r]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "64b5d0629d4e4d8e99ef33e0ef5ee12b",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 7 seconds.\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
mean
\n",
"
sd
\n",
"
hdi_3%
\n",
"
hdi_97%
\n",
"
mcse_mean
\n",
"
mcse_sd
\n",
"
ess_bulk
\n",
"
ess_tail
\n",
"
r_hat
\n",
"
\n",
" \n",
" \n",
"
\n",
"
alpha
\n",
"
7.104
\n",
"
0.509
\n",
"
6.203
\n",
"
8.112
\n",
"
0.011
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"
0.008
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2008.0
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2463.0
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1.0
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\n",
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a
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"
0.695
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"
0.159
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"
0.446
\n",
"
1.006
\n",
"
0.004
\n",
"
0.004
\n",
"
1989.0
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"
1726.0
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"
1.0
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"
\n",
"
\n",
"
b
\n",
"
3.312
\n",
"
0.999
\n",
"
1.779
\n",
"
5.176
\n",
"
0.024
\n",
"
0.030
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"
1976.0
\n",
"
1669.0
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1.0
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"
\n",
"
\n",
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r
\n",
"
0.276
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"
0.012
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0.254
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0.300
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0.000
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0.000
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2061.0
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2481.0
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1.0
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"
\n",
" \n",
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\n",
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"
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"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"alpha 7.104 0.509 6.203 8.112 0.011 0.008 2008.0 2463.0 \n",
"a 0.695 0.159 0.446 1.006 0.004 0.004 1989.0 1726.0 \n",
"b 3.312 0.999 1.779 5.176 0.024 0.030 1976.0 1669.0 \n",
"r 0.276 0.012 0.254 0.300 0.000 0.000 2061.0 2481.0 \n",
"\n",
" r_hat \n",
"alpha 1.0 \n",
"a 1.0 \n",
"b 1.0 \n",
"r 1.0 "
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm.fit()\n",
"bgm.fit_summary()"
]
},
{
"cell_type": "markdown",
"id": "6cfec565",
"metadata": {},
"source": [
"We can use [ArviZ](https://python.arviz.org/en/stable/), a Python library tailored to produce visualizations for Bayesian models, to plot the posterior distribution of each parameter."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "fe4ab5d7",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 653
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_frequency_recency_matrix(bgm);"
]
},
{
"cell_type": "markdown",
"id": "0aa508f9",
"metadata": {},
"source": [
"We can see our best customers have been active for over 60 weeks and have made over 20 purchases (bottom-right). Note the “tail” sweeping up towards the upper-left corner - these customers are infrequent and/or may not have purchased recently. What is the probability they are still active? "
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "bcb184f3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 532
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_probability_alive_matrix(bgm)"
]
},
{
"cell_type": "markdown",
"id": "a25bd48f",
"metadata": {},
"source": [
"Note that all non-repeat customers have an alive probability of 1, which is one of the quirks of `BetaGeoModel`. In many use cases this is still a valid assumption, but if non-repeat customers are a key focus in your use case, you may want to try `ParetoNBDModel` instead. \n",
"\n",
"Looking at the probability alive matrix, we can infer that customers who have made fewer purchases are less likely to return, and may be worth targeting for retention."
]
},
{
"cell_type": "markdown",
"id": "c7906da7",
"metadata": {},
"source": [
"### Ranking customers from best to worst"
]
},
{
"cell_type": "markdown",
"id": "49313fc3",
"metadata": {},
"source": [
"Having fit the model, we can ask what is the expected number of purchases for our customers over the next 10 time periods. Let's look at the four more promising customers."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "f9748513",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 1175,
"width": 1667
}
},
"output_type": "display_data"
}
],
"source": [
"ids = [813, 1203, 157, 1981]\n",
"ax = az.plot_posterior(num_purchases.sel(customer_id=ids), grid=(2, 2))\n",
"for axi, id in zip(ax.ravel(), ids, strict=False):\n",
" axi.set_title(f\"Customer: {id}\", size=20)\n",
"plt.suptitle(\"Expected Number of Purchase over 10 Time Periods\", fontsize=28, y=1.05);"
]
},
{
"cell_type": "markdown",
"id": "56138ddf",
"metadata": {},
"source": [
"### Predicting purchase behavior of a new customer\n",
"\n",
"We can use the fitted model to predict the number of purchases for a fresh new customer."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "88c3534c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9GsuWLcPDhw+VLuvh4YFu3bph8ODB2Qo8m8I1RN11WhOBgYFYtmwZzp07p7JdbW5ujqpVq6J///7Ziq88ePAA8+fPx9WrV5WeE+3s7NCpUyeMHDkSrq6uWd5OTEwMNm7ciH379mV6jyMIAooXL4769eujY8eO8PHxyfJ2cxIGt7OoZ8+euH79Oo4dOwYg7UYs/SArVKhQpsufOHFC4cI4derUTBv8GcXFxWHcuHE4e/as2vlevnyJX3/9FYcOHcLy5cu17nF1//59TJo0KdPAFZB2YtqxYwcOHDiAqVOn4ptvvtFqW7Gxsfj111+xf//+TAM+QNoF//r167h+/ToePHiAOXPmaLW9rIqLi8OMGTOwf//+THsDpKSk4Nq1a7h27RpatGiBefPmwdbWVuNtBQYGYtiwYXj+/Lna+R4+fIjhw4ejW7du+OWXXzRev76kN5LU/T4RERHYtGkTjh07hkWLFqFq1aoGrGH2nD59GhMnTkRsbKzWy65fvx5LlizReNmAgAAEBATgwIEDagPxyhw+fBg//fSTQiqIjFJSUnDy5ElcvHgRS5YsQf369TVad/fu3XH37l2N6xIZGYnt27dj9+7dmDJlCr777juNlz137hx++OEHWQ+XzKSmpuLx48d4/Pgx4uLi8NNPP2W6TEpKCv744w9s2bIl08BOes+7MWPGoEaNGliyZAny5cuX6Tbi4uIwceJEnDp1SqPvAaQdJ6dOncKpU6fQsGFDvfYk27JlC+bPn6/0pisjURTx8OFDTJo0CRs2bMDixYu1atwaQ6NGjfDhwweN5//w4QNWr16NrVu34vfff0ezZs30WDvVHj16hOHDh6sMgKR7+PAh+vfvj9GjR2PEiBFabUOf+36dOnUkwe1Lly5lGtz28/OTBLaBtN41V69ezfQG49KlS5Lp2rVrq50/O0ylzZKZlJQUzJw5Ezt27NB4mZiYGFy8eBEXL17UWeBSEyEhIRgzZgzu3LmT6bwRERHYu3cvDh06hOHDh2P48OFZ3m5iYiKmTJmCQ4cOqZ3v0aNH6N+/P6ZMmYJevXrJyt+9e4fhw4fjwYMHKpcVRREXLlzAN998gzVr1qBGjRpa1fHly5f4/vvvNfptYmNjcfjwYRw7dgwjR47EsGHDtNpWRrdv38bIkSO1Or8amz7bRjlNamoq5s2bh40bN6qdLzY2FuvXr8epU6ewYcMGrR4IAYa9XzRFWblvePnyJYYOHYpnz55pvMzr16+xa9cu3L9/HwcOHMhKVXMd+X0yK293VqlSRRLc1uZvkl0pKSmYMWMGdu7cqXa+9+/fY8mSJThy5AiWL1+u9RuIeeEaIooi/vzzT6xbtw7Jyclq501JScGNGzdw48YN+Pr6YuHChVrH0ZYsWYIVK1aofNAHpP2WW7duxfHjx7FixQpUrFhRq20AwL179zBy5EilD86VEUURgYGBCAwMxJs3b7B8+XKtt5kTGf99QhM2e/Zsyc18REQExo4dm+mN4atXrzBlyhRJWfv27dG5c2eNty2KotLAtpWVlcqT9Z07d9CnTx+EhYVpvJ1Tp06hV69eShsqgiDA0dERdnZ2Cp/FxcVhypQpWL16tcbbevPmDb799lvs3btX6U2iIAhwcnJSuj3AcK+chYaGokePHti3b5/SbVpbW8PZ2VlpT8bjx4+jd+/eCgObqBIUFITevXurDGw7OTnBwkL6jGrnzp347bffNFq/vqxbtw5LliyR/D7m5uZwcnJSmpbi3bt3GDhwoFaBUmP677//MHr0aIUGqqOjo9on5QkJCZgwYQLmzZunsnFrZ2cHR0dHnaTv2L9/PyZOnCi5eTMzM4Ozs7PSHuVxcXEYPny4xg02VU+6zczM4OjoCCcnJ6XHQVJSEmbMmIGVK1dqtJ3r169j5MiRSgPbgiDAwcEBLi4u2UpxEx0djSFDhmD9+vVKz+GWlpZwcXFR+hrtjRs30L17d4SEhGS6nZEjR6oMbFtbW8PV1RX29vZ6H1hHmXnz5mHWrFlKA9uWlpYqg+qPHz/Gt99+i3v37um7itmian+1sLCAi4sLHBwclP7usbGxGDVqFA4ePKjvKioICAhA7969FQLbjo6Okp6yGS1evBh79uzReBv63vfr1q0rmb58+XKmdZIPUGuzrPw88tvXFVNps2hixowZKgPb6X9/BwcHo6chefbsGbp3767yxtvBwUHpdSApKQmLFi3ClClTNHoIIU8URfzwww8KgW1bW1ulbe7U1FTMnj0b//77L4C0N7V69eqlENhWdRzHxsZi6NChGt+kAsCtW7fQtWtXlb+NnZ2d0jcFkpOTsXDhQkybNk3jbWX06NEjDBgwQCEoYW9vr/IcZWz6bhvlNNOmTVMIbFtaWsLZ2VnpNe/ly5cYOHAgEhISNN6GIe8XTVFW7hvCw8PRo0cPlfudnZ0dXF1dc+xxlpPI30dn5e1R+WVev36NxMTEbNVLU7Nnz1YIbFtaWqpM0/H8+XP06dMHQUFBGm8jL1xDkpOTMWHCBKxatUppYNvKykrlG3XXrl1Dt27d8PLlS42397///Q9Lly5VGthWtq3Q0FAMGDAg0ze65T1//hx9+/ZV2Wawt7eHq6urXtLI5DTsuZ0NDg4OWLRoEbp27SprANy9exd//PGHynQYiYmJGDNmjCSFRalSpTB9+nSttr1z505ZINDR0RGDBw9GmzZtZCkLoqKicPbsWaxcuVJyUXzy5Al+/PFHjUb5vX37NsaMGSM5+B0dHdGlSxe0aNEC5cuXlx0kERER+O+//7BmzRr4+/vL5l+wYAHKli2LBg0aqN1WbGwsBg8erPCap7u7O3r37o2vvvoKpUuXlgVy4+Pj8ejRI9y8eRPHjh1TGlSpUqWK7He9c+cO9u/fL/lMXc8xVa/IJSYmYsiQIQqvAzVs2BCdO3dG9erVZT3Y0nM47dq1CwcOHJCd2O7du4epU6fizz//VPubJCUlYdSoUQonqrp166Jv376oXbs2rK2tkZqaiqdPn2Lfvn2yXndbt27V+nUrXQkICJDdAJqZmaFbt27o0qULypUrB3NzcyQmJuL69evYtGmT7MYPSAuwjBgxAkePHs3ROQ5jYmLwww8/yI6LFi1aoFu3bqhRowasra0hiiLev3+Pf/75R+Emafr06Th8+LCkzNraGl27dkWzZs1QuXJl2YU8JSUFz58/x927d3Hy5En8999/WtUzICAAR44ckeXY6tmzJ1q3bo1y5crBzMxM1vN2w4YNkjolJibil19+wdatWzXelo+PDxo2bIiqVavCy8sLHh4eshum5ORkPH36FGfPnsW2bdsk6UQWL16MGjVqqO2dJooipk2bJgm6OTo6olevXmjWrBlKly4tuVhHRkYiICAAd+7cwb///osbN25kWn9RFDFx4kRcuHBBUl69enV8++238PX1leVBTU1Nhb+/Pw4cOIAdO3bIzv1BQUEYN24ctmzZovDAKd3hw4dx8eJFSZmvry969OiBGjVqSFJfpKSk4OXLl3j8+DEuXryIs2fP6rVHw86dO7F+/XpJmY2NDfr164d27dqhZMmSEAQB8fHxuHLlCjZu3CgJIoaFhWHEiBE4cOCAQi9eFxcXyTUuMDBQcqPt6emp8tVOXfcGT38VtVGjRqhUqRK8vLwk9U1MTMSjR49w6tQp/PXXX7JrtSiK+OWXX1CpUiWD9VCPj4+XPdQRBAGtW7dGly5dJLn5Xr16hX379mHt2rWSQMTcuXPRtGnTTF8tN8S+nz9/fpQpU0Z2fX///j2ePn2K0qVLq6yXqiC2qqB3uvDwcEkbxMXFRefjjgD6abMYy+3btxVumsuXL48+ffqgVq1aKFiwoOx8LooiXr9+jYCAAFy6dAlnzpxR+kZBxmM+IiICCxculHw2duxYresZGxuL4cOH4+3bt5Ly9FeGv/zyS9jZ2UEURQQHB+PIkSNYvXo1YmJiZPPu2bMHxYoVw9ChQ7Xa9o4dO2R/M09PTwwdOhQNGjSQnTs+fPiA/fv3Y9myZbLglSiKmDlzJo4dO4aJEyfKggxffvklevfuDV9fX9lbfM+fP8emTZskDxiioqLw+++/Y/78+ZnW7+XLlxg0aJCk44S1tTU6dOiAtm3bomLFirJtxcTE4OrVq9iwYYMkZdzOnTvh7e2Nb7/9VqvfZsKECbLfuHbt2ujduzdq164tC/qHhYXh1KlTOSa3pyHbRpoYO3as7PdbuHCh5I2VsWPHqv3dNLkW/f3337JcwwULFsTAgQPRqFEjWa/sxMREXLlyBYsXL8b9+/dly7148QKrVq3C6NGjM92GIe8XtZGx3aHNeahKlSo6qwOQ9fuGP//8U5KK0szMDB06dED79u1RoUIFSWAsISEBz549w8OHD3H+/HmFa3q6hg0bytqa586dw7lz5ySfNWzYUOX3yInjkGhKPlioyVv28goWLCiZTklJQVBQEMqUKZOdqmXqwoULspiPlZUV+vXrh/bt28va5XFxcfjvv/+wdu1aSV7xd+/eYdSoUdizZ0+mnX/yyjVk8eLFOHLkiKTM2dkZgwcPRsuWLWXnxejoaJw/fx5r166VxHxevXqFESNGYM+ePZkGio8ePYq1a9dKyhwcHDB48GC0bt1a9rAkfVurVq3Co0eP8OnTJ/zwww9afa/Zs2dL2jpWVlb49ttv0apVK5QrV06SMSA2NhZPnz7FvXv3cO7cOVy5ckWrbeV4Yi7z448/il5eXrJ/PXv21Ps2d+zYIdmml5eXePLkSaXz/vLLL5L5KleuLAYEBGS6Dfnvlf6vefPm4tu3b1Uul5CQII4ZM0Zhuf3796vdXkREhNigQQPJMj169BBDQkLULpecnCzOmDFDslydOnXE2NhYtctNmDBBoY6TJk3KdLl0Dx48EA8cOKDy8z179kjW/eOPP2q0Xnny36169erimTNnMl3u4sWLYtWqVSXL/vPPP2qXWbp0qcJvsnz5crXL3L9/X6xZs6bSfWXx4sVafVdNyf+2Gffty5cvq112w4YNCstNmTJF7TKLFy/O1vd69eqVZPlGjRppNX/6Px8fH/HYsWMab/fvv/9WWEfHjh3FN2/eaLR8SEiIuG7dOpWfq/o7NG/eXAwKClK7bvnf1MvLS/T398+0TitWrNDo/JUuKipKHDJkiFbn6Dt37kjmr1mzpvjixQuNtxkUFCReunRJ7Txr165V+Nvu2rUr03U/ePBArFevnmTZtWvXqpx/wIABknl//fVXjb9HYmKiePjwYTEuLk7jZTQVFBQkVq5cWVK3Bg0aZPo7r1q1SmG/GTlyZKbbu3LlisGv06IoivPnzxdfvXql8fyhoaFi586dFa5L+qLqXFOlShXx3Llzapf977//RG9vb8lymzZtynSbhtr3Z82aJZl348aNKudNSEgQK1WqJJu3YcOGkmXVtUOOHDkimXf06NGZfpes0HebpVGjRpJ1a7PfiqJ218lp06ZJ5h0xYoSYlJSk0XZSU1PFc+fOie/evVM5j7bXXFWmTp2q8JvPnz9fTElJUbnMmzdvxObNm0uWKV++vPjw4UO121LV5h4/fryYmJiocrmrV68qHIcjRowQvby8xHLlyolbt25Vu93ly5crHI8fP35Uu0xCQoLYsWNHyXJt2rQRnz59qnY5UVQ8h1esWDHTNomy36Vs2bIanW90Qds2oDHaRlmV3eNeFFXvu0OGDBFjYmJULpeQkCD2799fskydOnXU7u+iaPj7xazKznlI2zaLLu4bEhISxGrVqkmW1+aeIyIiItP7zOzeT+mbfP2yeu0QRVFs0qSJZF0rVqzQeh0hISEKf9Pr169nuU6qKDvveHl5ibVr1xYfPXqkcrmUlBRxzpw5CsstW7ZM7fZM9Roif67bs2eP2vlv3rwplitXTrJMu3btxNDQUJXLKDtPeXl5iXPmzFG7rfDwcLF27dqSZZo2bSq+fv1a5TJJSUni5MmTlf4+Xl5eKpd79+6dWLZsWcl55tatW2rrJ7+8JrEsU5Hr05KkD1SV1X8Znyqr0q1bN7Rr105SNnnyZAQHB0vKjh49iu3bt0vKpk2bluUnfnZ2dli7dq3Ck8SMrKys8L///Q+VKlWSlGeWDmDDhg2S3jE+Pj5YvXp1pqO4m5ubY+rUqWjcuLGs7OPHj2pfkfbz81N41bNLly6YM2eOxrmpfXx88PXXX2s0b1YFBgZK/n4WFhZYuXKlRoOI1qtXT2EQDnWv4MXFxSm8Qti1a9dM81lVqFABS5cuNUpKA3m//fZbprlO+/btq9Bjc9++fRqldzC2n376CS1atNBo3oSEBEmPEQDw9vbG1q1b8cUXX2i0jgIFCqB///5a1dHR0RFr165FsWLF1M43YsQIhXz/6eMJqDN06FCtzl8ODg5YvHixpPfHtWvX1OZnlH9Lolu3blr1nC1WrJjagVwjIyOxbNkySdm8efM0ShPl4+ODZcuWSXqrbty4UeVrin5+frL/t7S01Kr3oqWlJdq0aaOX10/Xr18vSUVibW2NdevWZfo7Dx48GH369JGUnThxQuVAa8Y2fvx4rXKI5s+fH6tWrZL0Fjl8+LDGed91Zd68eZn2Zqtbty66d+8uKcvsGDbkvq9NapKbN29K0gXIDxanbllDpCQxlTaLpjKel4C040TV2yfyBEFAgwYN9DYgXLp3795J8rYDaYObjR8/Xm2qlC+++AIbNmyQ9HBMTk7WOCVWRlWrVsXvv/+utgecr68v2rdvLyk7efIkgLTzZY8ePdRuY/DgwShevLhsOikpCadPn1a7zIEDByTXycKFC2Pjxo0oVaqU2uXSt5cxL3hCQgI2b96c6XLyBg4cKBlwL6fTd9sop6lQoQIWL16sMkUSkHa/+Ntvv0l6I378+DHTt98Meb9o6rS5b3j16pWkF22VKlU0XhZI642alcHOcyv5dDBZaUunvzGnbr36YmZmhhUrVqgdm83MzAyTJk1C8+bNJeUbNmxQO7ZAXrmGrFixQpKWzM3NDRs2bFA7YHz6eUp+zJ2//vpLbZrfHTt2SD63sbHB2rVr1b4xYGFhgVmzZmndbvX395ekuWvevLlWY5h5eHhoFMsyFbk+uG0oM2fOlIykHRkZibFjx8pu9F68eIGff/5ZskynTp20GtVV3qBBgzTKGWVpaamQB+n58+cqX0OIjY2VBHEFQcCsWbPUNooyEgQBkyZNkuTnVDcAgnyQt3jx4gq/VU6wfv16yUnxu+++02qwn+bNm0tGrX748KHK0Y6PHj0qyQ/r7OyMiRMnarQdX19fhYcthla7dm20bt1ao3lHjx6tkI7h77//1lfVdMLb21shkKTOnj17JCklLCwsMH/+fI2PqawaMmSIRucIMzMzdOnSRVKmbtCr7LCyslJowKh7JUo+T7K2AxxlZvv27ZJXuZo0aYI2bdpovHzlypUlx9v79+8lr3lmlPG7pOewNbbo6GiFAYcGDRqkUaMWSHttWv4mVn6wZFOWL18+SbA3MTERt27dMtj2v/rqK4UbFVW6desmmfb391ebX9iQ+37NmjUlAdNr166pHMgnY4Da1tYWbdu2lQSh1KUmkf9MH8FtU2mzaErf51hd2L59uyQ1lbOzMyZNmqTRsoUKFVJIrXDq1CmF9CaZmTp1qtK88/KUPbTInz+/RoO8mpubKxyDmQ1AKZ9OasqUKWpv1uWNHj1akrd19+7dage+kufm5qbwACqny4ltI32aNm2aRrlWCxQooJCWImOqEnmGvl80ZdreN8g/RM+J52VTIj+WjLJAdWaUBcQzG3xdVzp16qRxupyffvpJ8v0iIyMVUnGkyyvXkKCgIIVUPRMnTtRocEhBEDB16lRJ54WEhATs2rVL6fypqakKcYyBAwdKHlyrYmZmhmnTpmnU1khnCm04Q2JwW0fs7OywaNEiyY5///59/P7770hISMCYMWMkN5FlypTJcuJ9IK0B3LVrV43nr1ixosLIq6puQi9cuCDJ+Va9enWtc1YWL14cFSpUkE0/efIE4eHhCvMlJiYqDIrZt2/fHDc4RmpqKo4ePSopy/ikUlPyAd/r168rne/MmTOS6TZt2mSaOzWjzHoH6Zs2+bbs7e0Vejqp2jdzis6dO2vVOz7j6NoA0KxZM42Dh1ml7KZMnWrVqkmmVQ1iqgvyDTR1A4nKD5ai6xtL+RzoujiuM+agyyjjd/n48WOOeEPh2rVrkp4nFhYWWh2/dnZ2CvtZxlz6uYE2+6uuyQes1fHy8pI8MImNjVUbwDPkvu/g4CBpg8TExKgctChjgLpGjRqwsrKSvH2hquf2q1evJG/MFS5cOEuDRqljKm0Wbej7HKsL58+fl0y3a9dOq/ybnTt3lgTcUlJSFMY/UMfHxwc+Pj4azSvf1gbSAt6aDuQkv7y6a/HDhw8lnxcqVAhNmjTRaDvpnJycUL9+fdl0ZGQkHj9+rPHy7du3z1KgyFhycttIH7y9vbUag0f++7548ULlvIa8XzR12t43yI895Ofnl6XBcCmNfM/lrAxAr+wcrq5HtC5p82CkYMGCCj1xVd1X55VryPnz5yW9m11cXNC2bVuNly9QoIDCmxCq7nUCAgIkY5GYm5tr1ZYvUaKE2jeO5cmfK3JiG86Qcv2AkuoGqtKEupQf8ry8vDBt2jTJYJJbtmzBgwcPJAe5nZ0dFi5cqPHrq8pUqlRJq6dqQFqvrIxP4FXdoMsHXL/88kvtK4i0AYnStyGKIu7du6fwavW9e/cURivX5mRjKP7+/pJBQIsXL57p64zKyN8c3b59W+n+Kf+30fZCU6VKFbi7u0sG7zMUCwsLtQOSKNOkSROsW7dONv348WPEx8fn2IBBrVq1NJ43MTFRIYhjiNfRvby8tLr5lw8CZdzftREVFYUnT54gLCwM0dHRiI+PlzQoAEhuhgCoDcDJp1Tas2cPypUrh2+//Vbt6+iaCA8Pl6TQsLa2lrxdoSn541pV0K5SpUqyBmZqaipGjx6N+fPn6zwAp42Mg88Aaa/ea3ttadGiBZYuXSqbDgkJwdu3bzVOuWNMYWFhePbsGSIiIhATE6N0f5UfiEjbHp9ZJQgCatasqdX8RYoUwaNHj2Rlqo5jQ+/7QFov6oz72+XLlxXefoqMjJSkyahXr55s2fQefaoGpDREr21TabNoo1KlSpK24eTJk7Fo0SKUK1fOiLX6LDY2VuFGWf4V4czY29ujfv36kgfNt2/f1jjIqc1beg4ODnBycpL0ptJmefnXluV7ZWUk316vV69eltLSlS9fXtKB4/bt2xoHKbVpD+UExmobGYs21xBA8ftqs//p837R1Gl7nJQoUQKOjo6y/e358+eYOnUqJk+enCPe+jM11tbWkl7WGd8E0pSytGuGeLDn4eGh9KGpOk2aNJGkUNI05pNbryHy9zoNGzbU+IFzuhYtWmDfvn2y6QcPHiAxMVFhPfK/daVKlbRO3da0aVONH8BXrFgRgiDI7l3+++8/LFy4EMOHD9f6O+YGuT647eHhofWordnRqVMnXL9+XZIbUP6A+uWXXxRuyrSlaQ+SjORPMhlvgDOSPyiDg4MVcoVrQj7neMYRn9PJp+UoXbq0whOonED+N7G0tMzSb/Lx40fJtLLgc1hYmEK5tj0hgLTeGsYIbpcsWVLroLS3tzfMzMxkvRKSk5Px9OlTSW+OnMLS0lKSgigzz58/V3iyr+uR2JUpXLiwVvOnj0qdLmOuv8y8ePECe/fuxfHjxxEUFKTVdgH1N08VK1ZEhQoVZE+iU1JSMHPmTKxbtw5t2rTBV199hcqVK2fpAn7v3j1JINPR0TFLKXHke9OoOu66d+8u6T1x9+5dtGzZEl999RWaNm2K2rVra/13yy75oFFWjrlSpUrB1tZWcuPw+PHjHBvcfvjwIfbt24eTJ09mqfe8uv1VlxwcHLR6YwfQ/Dg29L4PAHXq1JHk+L506ZLCq6hXr16VvM6a3nuldu3akmvEpUuXFNpRhsi3bSptFm107doVf/31l2x/CAwMRIcOHVCrVi00b94cderU0eqap2tPnz6VpLARBCFLbeAKFSpIgtva9CxTlydTGTs7O8l5QpvzunxKh4xvfcqTb5uGh4dnqW0q/1to03b08vLSenvGZMi2UU6gz+9ryPtFU6btfQOQ1tuzS5cukpQRu3fvxrFjx9CyZUs0atQINWvW1LqNkFfZ2dlJ2qgJCQlar0NZL219p5cEshbzkV/m3bt3CA8Ph6urq6Q8r1xDdHGvI79MQkICgoKCFMaeko+vZSWGo83fPF++fGjevLmkfbNixQr8/fffaN26NRo0aIBq1aopnNtzq1wf3DaGadOm4cGDBwgICFD47JtvvkGHDh2yvQ1tG9qAYgMnNjZW6ROnjLmBgbSL6e7du7WvpBxlg3DJJ+M3Zg9GdeR/k6dPn2L69OnZXq+y30T+dTxbW1vky5dP63UbOkiWLiv7pp2dHVxcXCT7g3zv3pzC3t5eq1xY8vu4o6Njlv6e2pJ/1Twz8t9Jk9cfExMTMX/+fGzdulVl/lxNqLt5B9IGufvuu+8kx8vr16+xevVqrF69GlZWVihfvjyqVauGWrVqoVatWhq9GSN/XH/48EFvxzUANGrUCN26dZPklExOTsaZM2dkqYgKFiyIKlWqwNfXF7Vr19Z7+hr5umblvGFubo4vvvhC8mpjTjx+o6KiMGvWLBw4cEChd7Y2MttfdUXbYxhQPI5V5T009L4PpD3Us7Ozk6XBuXfvHqKjoyW90DL2vnZzc5MNnuTi4gJvb29ZcPnSpUuS3P2iKEpy9wuCkOmAxllhKm0WbZQrVw7jxo3DggULZGXpv2f6b5ovXz5UqVIFNWvWRO3atbN0s5ZV8vuUs7Nzlo4N+TyU2gwMm93rqTY3lfJvJKm7Fssfx6dOncKpU6c03pYq2vw2phZcM0TbKCfR9vtmZ//T5/2iKdP2viHdqFGjcPXqVclD1ejoaNnvLAgCSpUqhapVq8LX1xd169bV+s27vMLOzk7SwSwr6USUBcQNEdzOyn21smUiIiIUgtt55Rqii3sdd3d3WFtbS/YDZd9T/v5HFzG7zEydOhUPHjyQpEP5+PEjtmzZgi1btsDCwgJeXl6oVq0afH19UadOHZPvmKEKc27rga2tLYYMGaJQ7u7unq082xll5ZUkZQ0cZT3Q9BWUUHYhkd9WTj3Q9NXQUjYQhfwrj1l9/SwrN3+6oKv6Gqp3pLa0ffJprH08K6+VaSMxMREjRozAxo0bsxXYBpBpoLF06dLYtWuXyrQJ6alf1q9fjyFDhqBu3br4/vvvM+2ZZ8jjOt2MGTPUvlYaEhKCY8eOYebMmWjdujXatWuHbdu2KX0dUhfkfwNdHb857eY0MjISffr0wf79+7MV2AYy3191RZ/HsDH2fUtLS0l6huTkZIUc3RmD23Xq1JH8Bhl7YssPSOnv7y95MFyuXDm9PEQ0lTaLtoYMGYL//e9/KgMjYWFhOHPmDObNm4eOHTuiWbNmWLlypUF6scq3BbLa+0j+3KbNMZDdY1Ffx7K+jmNtAj+m1htM322jnEaf39eQ94umLKvHiJ2dHbZs2YKuXbsqDY6LooinT59i165d+P777/HVV1+hX79+CuNCkOK1Wj6oqwllbxQYIjCblXa5ra2tZBBvQPl9dV65hujrXkfZOVD+d9ZVzE4dd3d37Nq1S2XKtuTkZPj5+WHr1q0YPXo06tatixEjRuDGjRta1y2nY3BbDyIiIjB//nyF8tDQUJw8edIINUqj6Q15VvJQ6Wr7ObXRqa/fRJ8MFYDRFVOrb163evVqhUG+XF1d0bNnT/z555/Yu3cv/vvvP9y+fRt+fn54/Pix7N/p06e13l7x4sWxZcsWbNu2DV27dlWb8iI2NhYHDx5E+/bt8dtvv6k8fo1xXAuCgL59++LMmTOYOnUqatasqTalSkBAgCzQfe/ePYPULyetR1fmzJmjkFLiiy++wIABA7B06VIcOHAAly9fxp07d+Dv7y/ZXzdv3mykWuuPsa5p8oPkZAxmv337VpLfXD6tSMbpmJgYyeu08vm2tRmMJzty2n6eHV9//TVOnTqF3377DV9++aXaHmkvX77En3/+iWbNmhl8ANnceo7KCn099GR7jDRhzPvFvMLe3h6//vor/vnnHwwdOhReXl4qz10pKSm4dOkShg4din79+hklNWVOVaJECcn0mzdvtF6HfBo7MzOzLI2/lZPk1WuIIdsRhmpruLm5ye5n+vTpA09PT5XzJiUl4dSpU+jRowcmTJhgcum21GFaEh0TRRGTJk1SedKcNm0aKlSooHCS1VZWdkJlyyjrdeTi4iK5IG7btk2rwXC0IT+oS07r7ZdO/sls586dMXv2bL1sS/5pXVZPOMY6UemqvvrqEWfoC678Pp5Te6RrIyYmBmvWrJGUtW3bFrNmzdIoHUh6WoKsqFGjhux8FBwcjBs3buDWrVu4ceMGnj17JplXFEVs2rQJERER+P333xXWJX9c16lTBxs3bsxy3bTh7OyMnj17omfPnkhISMDdu3dx8+ZN2T/53+jVq1fo06cPtm/frtOB3uR/g+wMJJpRTurRGhQUJBkEBgD69++PCRMmKPRsUSY7+2tOZax9Xz5gnTEondmAkNWrV5e8Enr58mVUr15d9v8Z6Su4bSptlqymTrC1tcU333yDb775BklJSfDz88ONGzdk5yX5XkphYWEYPnw4Vq1aleXB5DIjfy7J6W0MQ5LfH3///Xe0b9/eOJWhPMeQ94t5XfHixTFu3DiMGzcOERERsrbvrVu3cP/+fYU3KC9duoR+/fphx44dHIASisHtV69eab0O+dzwhQsXNsiAklm55sXFxSnsE6piPhnl1muIs7Oz5Fylq3sdZT335X/nrGwrOwMXlytXDlOmTMGUKVPw/v172bni5s2b8Pf3V4iDHD58GKGhodiwYUOW0iflNOy5rWPr1q2TvA5kZmYmyZsTGxuLMWPGZGkgg4yy8sQxYx4eIO11J2U9BuXzMcmfzHVJ/rXhly9f6m1b2SFfz6xcFDUl//vHxcUp5PnUhPzf21Cysm/GxsYq3DSrGs1e/gmoqpyyqhg6uCy/70RFRWXp75mTXLhwQfLKmaenJ+bMmaNRYBtQzCufVUWKFEGHDh0wc+ZMHD16FGfOnMG4ceMUjqH0XrnyDHlcq2NtbQ1fX18MGzYMa9euxdWrV7F69Wo0aNBAMl9sbCxmzpyp023LH2dZOW+kpKTg7du3atdrTKdOnZI05nx9ffHjjz9qFNgGdLe/5iTG2vfLli0r2fazZ8/w7t07ANLgdokSJRTezrC2tka1atVk0+nzJyYm4ubNm7JyS0tL1KxZUy/1N1SbRf46p22wOjs3RuksLS1RuXJlDBgwAMuXL8elS5ewdetWtG3bVlK/5ORk/PLLL9lOT6WKsgcKWfl+8m1ZU8sVrYz8tc5Y1zDKmwx5v0ifubi4oGnTpvjhhx+wY8cOXL58GXPmzFEYmO/JkydYu3atkWqZs8gPQP3s2TOtx0+5c+eOZFrfY+Kky8p9tbJllLXL88o1RBf3OqGhoQrxO2XtCPlt6SJml1UeHh5o3bo1fv75Z+zbtw8XL17Ezz//rJDT++rVq9i7d69OtmlsDG7r0K1bt/Dnn39KykaMGIE1a9ZIXu98/Phxtnv9yr9erQk/Pz/JdPpATfK8vb0l09evX9d6W5qSHw326dOnObJnq3xPyfv372f7AYUq+fLlg7u7u6RM/m+nCX9/f11VSSvPnz/XOl+ev7+/5ObdwsJCoSGSTr4Hgra9KrNykcmOkiVLKgR9b9++bdA66Jp8LuuWLVuqTa0h7/79+7quEoC0XhRDhw7F4cOHFQYPO3jwoML88ue64OBghSCtMVhZWaFBgwZYvXo1vv/+e8lnN2/e1OmDK/mboQcPHmi9jmfPninkWlZ1fTEG+f3166+/1mp5fe2vxmSsfV/ZQI/pD56uXr0qK5Pvta2s/N69e4iJicGtW7ck+1/VqlU1ftCmLUO1WeRzUGp7ndPHw21zc3PUrFkT8+fPV2jrBgcH49atWzrfJpAWQMj4IEoUxSy1geXPbTnpHJVV8sdxbsyfSTmXIe8XSTUnJyd06tQJ+/btQ+PGjSWfKWv75kW+vr6SwVJTUlIkqc00IX+NM1T6s6xc7+SX8fDwUAhkA3nnGqKLex35ZaytrZWm/pBvW2QlhpOVv7km8ufPj169euHw4cOoVKmS5LPccq5gcFtHwsPDMX78eEnPlbp162L48OEoVaoUfvnlF8n8O3fuxOHDh7O8vXv37mk9GIJ8ntvKlSsrnU/+pvLMmTN6C+RWrlxZchMqiiIOHTqk8+3Iv2ahbW/f6tWrS+oZGxur1zyT8n8bbXMU37lzx2i51pKTk3Hu3DmtlpH/fl5eXrCxsVE6r3zaFm17isgPYKZvVlZWqFKliqTM1C8gGUccB7QfCVrfg93kz58fAwcOlJQpG1yyaNGiKFq0qKTs2LFjeq2btgYMGKDwsCuzgTK1UbVqVcn07du3Ff6+mTlx4oRkumDBgmpzohua/PfRpm6pqakGzylsCMbc9+XbGP/99x8eP34suWZpEtxOSkrC9evXDZaSBDBcm0X+tVZtrnMpKSl6CzSna9WqlUI7RdV5Sf4NCW3bX3Z2dgo3i6dOndJqHbGxsbhw4YKkTP7cZ4rq1asnmb5x40aWBkqjnEH+XiWr6YUMxZD3i5Q5CwsLTJw4UVL2+vVrlWktsntvbEry5cuncM4/evSoxsvfuHFDYUBJ+QcJ+vL+/XutO1loGvPJK9cQ+b/9uXPntM43Ln+vU6FCBVhaWirMJ3/Pf+/ePa1jMtq2cbRlZ2eHUaNGScoCAgL0uk1DYXBbB9LzbGfs9eTu7o7//e9/sqeEHTp0QKdOnSTLTZs2DS9evMjSNlNSUvD3339rPP/9+/cVTowNGzZUOu9XX30luXkLCwvD1q1bs1TPzFhaWqJJkyaSsk2bNul8pGz5XlDa5q+ysrJS+L2WLl2qt4an/LaOHDmiVW7Pbdu26bhG2tmxY4fG88bExCgEe1Xtm0BaT+iM7t69q/HfIS4uziiB5VatWkmmT506pZAf2pTI99LWpufi3bt3DdIzQL7ntqqejy1atJBMr127VutXFfVJEASF18fke0lnh6+vr+TNouTkZGzfvl3j5ePi4rBr1y5JmXw6FWOTb3xqs78eO3bMaCme9M1Y+7588Pny5cuSALW5uTlq1aqldNny5ctLXvm8dOlSprm6dclQbRb561zGtCuZOX78uEKaL32QP8eqOi9lt/0FKJ5TDh06pFWbaM+ePZJrgLm5OerXr691PXKaypUro0CBArLppKQkLF++3Ig1ouzQxbFiSIa8XyTNyD+0BvR7bjYlzZo1k0wfOXJE4xRX8jEXLy8vgw4mqc19dUhIiEInIlX31XnlGvLVV19J0qlFRETgyJEjGi///v17hQ4gqn5TLy8vyX1bSkoKdu7cqfG2Xrx4oTSVpq5pep9sahjc1oE1a9ZIeqqam5tj/vz5yJ8/v2S+adOmoUyZMrLpmJgYjB07NstPudesWaNRbqSkpCSFPK2enp4Krwany5cvH7799ltJ2aJFixRyTWlD3SB+gwYNkkwHBQXpfLBG+b/F8+fPtV7H8OHDJSfGx48fY+7cuVmuk7rfpG3btpIeyp8+fcIff/yh0XqvXbuml55k2rh8+bLGT8QXL14seaJpbm6Orl27qpzf29tbEqz68OGDxj2B//jjD4Pc9Mvr2LGjpPdtcnIyJkyYYLIXkowNIQAa92yNjY3FpEmTtNpWVvO4yh/j8r2f0/Xv318S3P3w4QMmTZqk84FHs9ojJjk5WSGvr/z5LDscHBzQoUMHSdmaNWs0fvC6ePFihRHke/Xqpavq6UTBggUl05rur6GhoZg1a5Y+qpQjGGrfl1ekSBHJDXhoaCj++usv2XTFihUV3tBJZ2ZmJgl8nz59WvL6poODAypWrKiHWn9miDaL/Hc4fPiwRgF0bdoKQFo7JKsP6eXPsarOS/b29pI3saKjo2V51jXVvXt3yXU/IiIC8+bN02jZkJAQLF68WFLWrFkzhfOCKbK0tMSQIUMkZdu3b8fJkyezvE5DD7pNn7m5uUmmc3onCEPfL+Ylumr7mpubK4wVkU4X98ampEuXLpKH47GxsRpdL2/duqVwXy3fDtC3vXv3anxczZ49WxJbcnR0RJs2bZTOm1euIcWLF8dXX30lKfvjjz80HgNr1qxZknt2GxsbdOnSRem8ZmZm6Ny5s6RszZo1CAoKynQ7qampmDlzplb3jPq+TzY1DG5n061bt7Bo0SJJ2YgRI5T2OrK1tcWiRYskN5OPHj3K8k1RbGwsBg4cqBBYyCgxMRE//PAD7t27JykfNmyYwoBFGQ0aNAgeHh6y6YSEBAwcOFCrV3iAtANnxowZai8e5cqVUxiZ9++//8bkyZM17qHo5+entkdu2bJlJbm2AgMDtX4q5uXlpXAi27RpE3766SetelLGxMRg27ZtCj35M7K1tUXfvn0lZX///TdWrVqldt0PHz7EyJEjc8SFZcqUKZIcqsps2rQJGzdulJS1b99ebdoAGxsbhV5cs2fPVnhdTN6yZcuM1qPEysoKY8eOlZT5+/ujV69eao/fjN69e4f169froXbakz+/Xb9+PdOn0mFhYejfv7/Wjecff/wR06ZNw9OnTzVeJjg4GGvWrJGUqeoJ6ubmptCwO3HiBIYNG6bVQIKJiYk4cOAAOnbsqLSxFBAQgPbt22Pfvn1a9fJctGiRZH12dnY6D971799f0vsqPj4eAwYMyHSwvPXr1yvsky1atJA8xM0JfH19JdOHDh3KNMD96tUr9OrVS+sULabEUPu+MvK9qzM2+jNLK5Jx2eDgYMlNgK+vr95HezdEm6VJkyaSYO779+8xZ84ctesMCwvD4MGDtXrTICoqCs2bN8fmzZu16rW3Y8cOybgegiCoHMTTzMxMYdwSbd4OAdIeqMq3mfbs2YNFixapbe+EhISgb9++krc1LCwsFPZ7U9alSxdJPtHU1FSMHz8eW7du1aotGBISgvnz5+PHH3/URzVJA+XLl5dM79q1S28DteqKIe8X85K//voLgwcPxqVLlzQ+juPj4xWuE9WrV1d5TZTPt3zt2jWt2tqmxsHBAQMGDJCU7dy5U+Htw4yCgoIwceJEyUPgMmXKoG3btnqrpzKpqakYNmyY2tQRqampmDt3rkL6jL59+6odhySvXEOGDh0qiQV9+PABAwYMUNtuTUlJwaxZs3D8+HFJ+Xfffac0h3m67t27Sz6Pj4/HwIED1Y5tk5ycjKlTpyq8jZiZ+fPnY8KECVrlkA8PD8fChQslZaruk02NReazmLb3799r3YiW17hxY4WeikDajjFu3DhJw6NevXoYNmyYynWl59/OeODv3LkTtWrVUvlUTZnKlSvj7t27CAwMRNu2bTFkyBC0adNGlvs2OjoaZ8+excqVKxUuVF9++aVCTz15+fLlw7Jly9CzZ0/Z07+oqCiMGzcOmzZtQpcuXVCzZk0UK1ZMFiRPTU3F+/fv8fjxY9y9exenT5/Go0ePAAA9evRQu73p06fDz88PT548kZXt3bsXFy5cQO/evdGgQQOULl1adoGOj4/H48ePcePGDRw/fhx3795Fx44dVQ4UZmtrizp16uC///6TlQ0aNAiNGzdG+fLl4ejoKDnheXh4KLx6DABTp07FkydPJAMC7t69G2fOnEH37t1Rv359+Pj4wNraWvZ5dHQ0njx5An9/f5w/fx6XLl1CQkKC5CGHMoMHD8axY8ckv8mCBQtw5coV9OvXD7Vr14aVlRVEUcTTp0+xd+9ebNmyBUlJSQA+7yOG5uPjg8ePHyMuLg59+/ZF9+7d0aVLF5QrVw5mZmZITEzEjRs3sGnTJoXc3O7u7hr17O3Zs6ckH9Xr16/RtWtXjBkzBk2aNJHlK42IiMClS5ewceNG2W9RtWpVowzo2LlzZ9y4cQP79u2TlT148AAtWrRA165d0bx5c1SqVEm276SkpODFixe4c+cOTp06hYsXL8LDwwP9+/c3eN3lVaxYET4+PpIek9OmTcOdO3fQo0cPeHt7w9zcHKIo4vnz5zhx4gQ2bNgge43c19dX49zncXFxOHz4MHbu3AkvLy80bdoUVapUQbly5eDh4SE7/yQlJeHZs2c4deoUNm3aJAlm2NnZ4ZtvvlG5jSFDhsDPz0/SeDl79iyaNGmCzp07o1GjRqhUqZLkFc64uDg8e/YMjx49wn///Yd///0305QOjx49wqRJkzBz5kw0aNAA9erVg4+PD0qVKiU5Z4SFheHmzZvYtm2bwkO4zp07Z3ru0FbRokUxefJkTJs2TVb2+vVrfP311+jfvz/atWsHT09PCIKAhIQEXLlyBZs2bZKcT4G08+aMGTN0WjddaNKkCTw8PGQPwFJSUjB8+HD06tULnTt3RqlSpSAIAlJTU/Ho0SMcOXIEW7dulT2E0GZ/NTWG2vfl1alTR+UDMfkckPLUpR3RZ0qSjPTdZsmXLx9atWolCYDv2LEDISEhGDJkCCpXriw7x7548UJ2jo2IiIAgCKhcubLGvbxevXqF2bNn4/fff0e9evXw1VdfoUKFCihdurTk7x4VFYU7d+5g165dCjd6jRs3Vvo6fLpGjRpJ6rNixQrcuHEDNWvWhJubm0LwRb43KABMmjQJV69eRWBgoKxs+fLluHLlCgYMGIB69erJbuBfvXqFo0ePYvXq1QpB+9GjRysEEU2ZlZUVli9fji5dusgeSiUmJuLXX3/F9u3b8e2336JWrVooWbKk7HcWRREfP35EQEAA7t+/j7Nnz+LOnTsQRVFtWjjSr0aNGmH16tWy6atXr6JNmzZo1KgRvvjiC4WUcKruTw3J0PeLeUX6eB///vsv3N3d0axZM9SsWRPly5dHkSJFZGMZiKKI169f4+LFi9iwYYPk/AgAffr0UbmNkiVLwtPTU7ZMUlISunTpgqZNm6JMmTJwcHCQdIQrUaKEyre+s+rKlSsq3xSUH8AvJiZGbUxH2XVDXu/evXHgwAFZbEQURfz888+4desW+vTpgzJlysDc3BwfP37EwYMHsWrVKsnDfjMzM0ydOlUSM9C39Pv5sLAwfPPNN+jfvz/at2+PEiVKQBAExMfH4+LFi1i7dq3C/a2XlxcGDx6sdv155RpSrVo1DBo0SNJR0M/PD61atcKQIUPQsmVLWRwtJiYGFy5cwJo1axT2Qy8vL4wbN07ttvLly4effvpJkgP/5cuXaNu2LQYPHoy2bdvKUpdER0fj/PnzWL16tazTgDYxnOTkZBw+fBiHDx9G0aJF0axZM1SvXh3e3t744osvZPtqSkoKgoKCcO7cOWzYsEHSKdDc3BzfffedRtvL6XJ9cDswMBDTp0/P1jpKliyp0HgQRRE//PCDpNelfJ5tVTp06IBr165hz549srKpU6fCx8dH6airynTr1g1ubm44c+YMoqKi8Mcff+CPP/6AtbU1LC0tVfbAKVWqFH7//XeNtlGpUiUsX74c48ePl+Q2vHPnjuwmxczMDE5OTkhOTkZMTEyWewzb2dlh9erVGDJkiOSpZGhoKObPn4/58+dDEAQ4OTkhKSkpS+kcBg8ejMuXL8ueviYlJeH48eMKN2lAWjBDWXA7/QIwZswYSbAjLCwMy5cvl+WpsrOzg5WVFWJiYmTBZm1ZWVlhyZIl6NWrlyRtR3qO0fTfIyYmRqFnR69eveDs7GyU4LaXlxfatm2LefPmITU1FX/99Rf++usvWFhYwN7eHpGRkUr3E3t7eyxevBjOzs6ZbqNOnTro0KED9u/fLyt7+/atLDDu6OiIlJQUhf3E29sb06dPV+h1ZygzZsxAfHw8/vnnH1lZfHw8Nm/ejM2bNwNI+x3Mzc0RFRWVI3rgKyMIAn7++Wf07t1bsn/v3bsXe/fuhaWlJezt7REdHa2wb3p5eeGnn37K0t8gICBAcn4wMzOTpS+Ijo5W+hqXmZkZpk+frvZtAEEQMG/ePAiCIMmpFhMTg02bNmHTpk0A0t4asLGxydZxDaS9dfPPP/9I9gMbGxvY2toiPj5eZe9Pb29vjB8/PsvbVadbt24IDAyU9MSOi4vDsmXLsGzZMlhaWsLOzk5lnltXV1csW7ZMbU8GY7G2tsaUKVMkb08kJydjw4YN2LBhA6ysrGBnZ4fIyEiFFA1169bFwIEDc21w29D7frratWtDEASFc5ydnZ3CYDzyihUrhiJFiigdZNFQwW1DtFkmTZqECxcuSG6sz507h3PnzsHCwgIODg5Kz7Hpb29pmxogKSlJtv50VlZWsLe3R0JCgsrvULhw4UwfanXt2hWbN2+WvAlx/fp1XL9+Xen8yoIUdnZ2WL58Ofr37y9pe9+6dUs2gKajoyMSEhJUDhT1zTffGPx1ckMoWrQo1q1bh5EjR+LNmzey8qdPn+LXX38FkHasZ7xe5vTBCvOiatWqKTxMDQwMxIYNG5TOr+z+1BgMeb+YF6Wn7sqYvsve3h5WVlaIjo5WeU3u1q0bmjZtqnbdQ4cOlXQqio2NVflWUceOHXUe3N6/f7+k0486ERERamM6mgS3bWxssGzZMvTo0UMycGLG+xdLS0uV17spU6YYvIdr/fr1UbFiRWzduhWJiYlYuXIlVq5cCUtLS9ja2qocR8bd3R2LFy9WeCimTF65howePVr28DtdepqzefPmwcrKCtbW1ipzsRctWhTLli3T6Ddt164d/Pz8JPdV0dHRWLBgARYsWKByWy4uLvj9998VxsXRxKtXryRv1QqCAAcHB5ibm6ttv48ZM0bvKf0MhWlJsmjNmjU4f/68bNrc3BwLFixQyJemyrRp0ySvgGibf1sQBCxYsEBhpN6EhASVge1KlSph06ZNGtcRSOvlvWfPHpWvm6ampiIiIgLR0dEqGyrW1tYKgyMpU6hQIWzfvh1t27ZVmjJFFEV8+vRJ5QVHXZoVIO1mesaMGZLcj1mRL18+bNiwAYMHD1Z5couNjUVERITaIID862DKlChRAps3b1b60CP995C/se3evTsmT56c6br1qX///hgzZozkb5KcnIxPnz4p3U/c3d2xZs0aVKtWTeNtzJgxA40aNVL6WVRUlMJ+Ur16daxfvx4ODg4ab0PXrK2t8eeff2Ls2LEq98OYmBiVDwAy28cNqVq1avjf//6n9HskJSUhIiJCYd+sWrUqNm7cqNXfQN13Tk1NxadPn/Dp0yelgW1XV1csXrxYo0B6etqoyZMnq6xffHx8psd1yZIlJb2wNfke6esODw9XGdhu2rQptm7dqvbVwuz68ccf8fPPPyvdRlJSksrAdtmyZbFjxw5UqlRJb3XLrlatWmHKlClKX89NTExERESEQkO9SZMmWLZsmayHVG6l731fGVdXV6XXwBo1aigdfV6estQlBQoUQKlSpTTavi7ou83i5uaGdevWKc2XmpycrHCONTMzw7hx4zBy5EiNv0NmdUhMTER4eLjK71C9enVs374901yN+fLlw/Lly9U+ZNREqVKlsHPnTpUPQKKiopQGti0tLTF69Gj89ttvBu1xZ0g+Pj7Ys2ePymCWKIqIjIxU+hAvnYWFRY5LK5XXLFiwQKu2cE5hyPvFvCCzc3NMTAzCw8OVXpMtLS0xfPhwjd6k69ixI0aNGqX3dF45iaenJ7Zt26b0XKfqYbSNjQ1mz55ttDFlpkyZgm7duknKkpKSVAa2PT09sXnzZpQoUULjbeSFa4iFhQUWLFiAIUOGKG3bJyYmqgxs+/r6YufOnVoNJPrjjz9i2LBhStsdyrbl7u6OdevWadzZFVB/rhBFEVFRUSrb73Z2dvjll19yVaq23H3Hpic3b95UyLM9cuRIhbye6tjY2GDhwoXo3Lmz7CTq7++P2bNnKwz+qIqtrS2WL1+OvXv3YvXq1QqvIqUrUqQI+vTpg549e2apUV+0aFFs3boV165dw6ZNm3DlypVMczM6OzvD19cXDRo0QMuWLVUODiXPwcEB8+fPx4ABA7B69WpcvHhR7UjGVlZWqF69Otq2batR/quuXbuiQYMGOHjwIK5fv46nT58iIiICcXFxWj2BtLCwwIQJE9CrVy9s3LgRJ0+ezDQ/rbm5OSpWrIi6deuidevWGp/8S5YsiUOHDmH16tXYsWOHpBd3Rj4+Phg5cqTCAw9jGT58OHx9fbFo0SKVvR6dnZ3x9ddfY8yYMRrvI+nSn77//fffWLlypcrc1QULFsSAAQPQo0cPmJubG30QR0EQMGzYMHTu3Blr1qzBiRMn1ObgEgQB3t7eaN68ucIAFcbWqlUrlClTBgsXLsTp06dVHkPFixdHnz590L17d5ibmyvtcanKH3/8IUt9cOPGDbx48SLTHj+enp5o164devfuLUtRo6m+ffuiU6dO2Lp1K44ePSpJO6CMIAgoW7Ys6tati5YtW6Jy5cpK5ytXrhyOHj2Ks2fP4tKlS7h7926m51ErKys0aNAAPXr0yDQPsa706tULzZs3x8qVK3H8+HGVOacFQUD58uXRs2dPdOjQwSQCRn369EGlSpWwcOFCXLlyReV83t7eGDRokFapwnIDfe37qtSpUwd+fn6SMk17XtetW1chT6ahjpGM9N1m8fHxwf79+7FkyRIcOHBAZY/k2rVrY9y4cZn2epfn6OiIM2fO4OzZs7h48SJu376d6aDL5ubmqFOnDrp06YKWLVtqvK0qVarg6NGjOHbsGM6fP4/Hjx/jw4cPiIuL0+ptgIIFC2Lnzp34559/sGnTJty9e1fltcfZ2RlNmjTB8OHD1aZNyS3SU0T4+/tj/fr1Cj3/lbGzs0ONGjVQv359tG7dWqcDFpP23N3dsW3bNly8eBEnTpyAn58f3rx5g5iYGJXHf05hyPvF3K5nz57w8fHBuXPncPXqVfj7+2d6nnRxcUGLFi3Qr18/rYKaI0eORLt27XDw4EHcunULz58/R2RkJOLi4nJtD3tPT0/s3bsXW7duxZYtWyS9lTOytrZG69atMWLECKNeQ8zNzWUpDZcuXarQdkrn7u6Obt26YciQIRr1LpaXF64hgiBg/Pjx6NixI5YvX46zZ8+qbLeZm5ujSpUq6N+/f6ZvQagyduxYNG7cGAsWLMDVq1eVtlfs7OxkD5q0fQN24sSJ+Oqrr3Du3Dlcv34dT548yXRAygIFCqBNmzbo27dvjnj7R5cEMbeetXKZSZMmSV7bmTNnjsLgOo8fP4afnx9CQ0MhCALc3d1RunRpVKhQQad1SUlJgZ+fH16+fImIiAhERkbKXl0tWLAgSpYsiSJFiugk2JGSkoL79+/j1atXCAsLQ0xMDOzs7ODi4oISJUrAy8tLrz0ZtfH27Vs8fPgQ4eHhCA8PhyiKsLe3h6urKzw9PVGyZMls1zU1NRW3b99GYGAgPnz4AHNzcxQoUACVKlVC8eLFdfRNtLN3715JT/GOHTti7ty5knlCQkJw+/ZtvHnzBklJSXBzc0ORIkU07qWXGVEU8ejRI/j5+SEsLAwpKSlwc3NDuXLlUKFChRzV41mZZ8+eISAgAGFhYYiMjISlpSWcnJxQrFgxeHl5qRzpPCeJiIjAjRs38ObNG0RHR8Pa2hoFChSAt7e3TntTfvr0Cc+ePUNwcDDCwsIQFxcHc3Nz2Nvbo1ChQihbtqwsZ5oufPz4Effv38fHjx8RHh6O5ORk2NnZwdnZGZ6enihVqlSW3gZITU1FYGAgXr58ibdv38peLU1fd6lSpeDl5ZXtN02yQxRFPHz4EC9evEBYWBji4+Ph4uICNzc3VKlSJcc3YNV5//49bt68iXfv3iE2Nha2trb44osvULFiRVkevLxOX/t+bqbPNktcXByuX7+O4OBgfPr0CZaWlihUqBCqV6+u05uTV69eITAwEG/evJH1hLa1tYWjoyNKlCiBsmXL5qi/e0REBG7fvo0PHz4gPDwcVlZWcHV1RfHixVGxYsU81SNRniiKCAgIwPPnzxEeHo7IyEjZ9dLDwwMlSpRA8eLFc/3bKWQchrxfzO0SEhLw7NkzvHz5Eh8+fJCldrG3t4ebmxu8vLxQokSJPH2+y45Hjx7B398foaGhSElJgZOTE0qUKIGqVasaPM6wZMkSLF26VDY9cuRIjBo1SjJPUFAQ7t27h5CQEKSmpiJ//vzw9PRE1apVdXo85YVrSHJyMu7duydrtyUlJcHV1RUeHh6oWrWq1p2k1AkNDcWtW7fw7t07xMTEwMnJCSVLlkS1atU0fvMxMzExMXj27BlevXol60CQnp7E3d0dZcuWlYyBkNswuG0iNAluExmDJsFtIiIiIiIiIlJOk+A2ESnHR6VEREREREREREREZHIY3CYiIiIiIiIiIiIik8PgNhERERERERERERGZHAa3iYiIiIiIiIiIiMjkMLhNRERERERERERERCaHwW0iIiIiIiIiIiIiMjkMbhMRERERERERERGRyRFEURSNXQkiIiIiIiIiIiIiIm2w5zYRERERERERERERmRwGt4mIiIiIiIiIiIjI5DC4TUREREREREREREQmh8FtIiIiIiIiIiIiIjI5DG4TERERERERERERkclhcJuIiIiIiIiIiIiITI6FrlcYHh6u61UajSAIcHFxAQBERERAFEXjVoiI8hyeh4jImHgOIiJj4jmIiIyN5yEi3XN1ddXp+thzm4iIiIiIiIiIiIhMDoPbRERERERERERERGRyGNwmIiIiIiIiIiIiIpPD4DYRERERERERERERmRwGt4mIiIiIiIiIiIjI5DC4TUREREREREREREQmh8FtIiIiIiIiIiIiIjI5DG4TERERERERERERkclhcJuIiIiIiIiIiIiITA6D20RERERERERERERkchjcJiIiIiIiIiIiIiKTw+A2EREREREREREREZkcBreJiIiIiIiIiIiIyOQwuE1EREREREREREREJofBbSIiIiIiIiIiIiIyOQxuExEREREREREREZHJYXCbiIiIiIiIiIiIiEwOg9tEREREREREREREZHIY3CYiIiIiIiIiIiIik8PgNhERERERERERERGZHAa3iYiIiIiIiIiIiMjkMLhNRERERERERERERCaHwW0iIiIiIiIiIiIiMjkMbhMRERERERERERGRyWFwm4iIiIiIiIiIiIhMDoPbRERERERERERERGRyGNwmIiIiIiIiIiIiIpPD4DYRERERERERERERmRwGt4mIiIiIiIiIiIjI5DC4TUREREREREREREQmh8FtIiIiIiIiIiIiIjI5DG4TERERERERERERkclhcJuIiIiIiIiIiIiITA6D20RERERERERERERkchjcJiIiIiIiIiIiIiKTY2HsChARERER6VNysojg10DQS+D9eyA0VETEJyA2FoiLAwQBsLAAbGwADw+gYAEBBQsg7V9BwM5OMPZXICIiIiIiJRjcJiIiIqJcJS5OxN17wM1bIm7dBp6/AJKStFmDKJnyLC6ifHmgSiUBdWoDrq4MdhMRERER5QQMbhMRERGRyQsMEnHuX+D6DREP/YDkZF2uO+3f0X9ECALgXU5E0yYCWjQDnJ0Z6CYiIiIiMhYGt4mIiIjIJL1+I+LMWeDUGRHPnhlmm6II+PkDfv4iVqwCGnwlontXAeXKMshNRERERGRoDG4TERERkcmIiRFx8hRw9JgIP3/tlnVzAwoXAtzdgXyugIMDYGsrQBTTenpHRYkIeQe8+/9/YeHq15eUBJw6DZw6LaJmDRF9ewuoXIlBbiIiIiIiQ2Fwm4iIiIhyNFEU8eAhcOhIWk/t+PjMlzE3A8qXB2pUB6pUFlC6lCYpRKSfJySIePoMeOgH3Lkr4vqNtAEolbl+Iy0lSv16IoYOFlC8OIPcRERERET6xuA2EREREeVIsbEijp0A9u0X8SIw8/nd3IBGDQDfmgKqVAbs7LIXYLa2FuBTHvApD3TtLCAxMW2Ayn+Oizh/QfkglRf+Ay5dFtH5GxED+gnZrgMREREREanG4DYRERER5SivX4vYu1/E4aNATIz6eZ2dgIYNgCaNBVSuBJib6y+YbGUloHYtoHYtAZ8+iTh4GPh7t4hwufQlKanAzl3A6bMixo4CGjZggJuIiIiISB8EURRFXa4wXL51b8IEQYCLiwsAICIiAjr+qYiIMsXzEBEZkyHPQaIo4vYdYOcuEZcupw3cqIq5OVCvLtC2tQDfmoCFhfGCxwkJaUHuTZtFRHxSPk+zpsC4MQKcHBnkJtIG20FEZGw8DxHpnqurq07Xx57bRERERGQ0qakiLv4HbP0r8wEiCxcC2rYR0Lol4OaWMwLF1tYCunwDtGoBbNsuYsffiulKTp4C7twRMfUnoFrVnFFvIiIiIqLcgMFtIiIiIjK4pCQRJ04Bf20XEfRS9XyCAHxZF/imk4BqVQEzs5wZHHZwEDBkkIDWrUT8uUjEtevSz0M/AOMmiBgxDOjSOa0nGBERERERZQ+D20RERERkMLGxIg4dAXb+LeJ9qOr5HOyBNm2ATh0EFC5kOoHgokUEzP8dOHkaWLBQRHT0589SUoHFy0Q8egz8+H1ar28iIiIiIso6BreJiIiISO9CQkTsPSDi0GEgKkr1fF8UBLp3FdCqJWBnZ5rBX0EQ0LwpUKUSMOd3EddvSD8/cQp481bEnNmAq4tpfkciIiIiopyAwW0iIiIi0gtRFHHvPrBrt4jzF4HUVNXzlioJ9PhOQOOGxh0gUpc8PNJ6cW/YJGLDJulnDx4CQ4aL+GMuUKxY7vi+RERERESGxuA2EREREelUbKyIU2eAfftFPHmqft7KlYCe3wmoXSt35qE2MxMwoJ+Asl4iZs4WERv7+bM3b4Dho0T8MQ8oVy73fXciIiIiIn1jcJuIiIiIdOLpMxH7D4o4cRKSIK4y9eoCPb4VUKli3gjqfllPwMqlwPeTRbx797k84hMwapyIeb8B1armjd+CiIiIiEhXGNwmIiIioix7+zYt5ciZsyIe+qmf19YWaN0S+KaTgGJF814gt2RJAauWA5OmpA0qmS4uDpj4Q1oO7lq+ee93ISIiIiLKKga3iYiIiEhjoijiRSBw/gJw/oKIgCeZL1OoENC5o4DWrQAHh7wdvM3vJmDxn8CUqSJu3PxcnpgETP5ZxO9zgBrV8/ZvRERERESkKQa3iYiIiEitxCQRd++J+O9SKv69AAQHZ76MmRlQpzbQvp2AWr6AuTkDtuns7AT8PgeYMUvEv+c/lycmAj9OEfG/uUxRQkRERESkCQa3iYiIiEgiJUXE02fAzVsi7t2PxM1bSYiL02xZNzfg67ZA2zYCCngwQKuKlZWAGdOA3+aKOHHqc3lCAvDDZBHzfwcqV+LvR0RERESkDoPbRERERHmYKIp48xZ49Ah49FiE/yPgcQAyBLOTMl2HsxNQrx7QoH5aL20LCwZlNWFhIWDKpLSHCafPfi6Pjwcm/ihiwf+AihX4WxIRERERqcLgNhEREVEekJIiIiQECHoJBAYBgUEiAgPT/j82Vvv1ebgDX9UHvqovoFJFBrSzysJCwNSf0v4+5zKkKImLAyb8IGLRAsC7HH9bIiIiIiJlGNwmIiIiyiVEUURYGPAqGHj1CngVLP7/f4Hg10BycvbWX7pUWh7tr+oLKFcWEAQGXXXBwkLA9GnA1F9EXPjvc3lsLDDxBxHLlwDFi/O3JiIiIiKSx+A2ERERkQlKSBDx5Cng///pRAID04LYWemFrUqRwkDdOtaoXcsSXl6xcHHW3bpJysJCwMzpwE/TRFy6/Ln8UyQwbqKI5UuBggUY4CYiIiIiyojBbSIiIiITEBkp4uattEEeH/oBz18AKSm6W7+zE1CuHOBdDihXVkC5coB7fjO4uDgAACIi4iCKou42SAosLQXMmgH8OEXE9Rufy9+HAhO+F7FyGeDoyAA3EREREVE6BreJiIiIcqh370X8ex4496+IBw+B1NTsr9PREfAsnvaveHEh7f89gQIeTDOSE1hZCZg9Exg7QYSf/+fyoJfAtBki/jeX+c2JiIiIiNIxuE1ERESUg7x/L+L02bSA9kO/rK3DygooWuT//xUFihYR/v+/gLMzg9g5nZ2dgP/NBUaOEfEi8HP59RvA4qUixo/l34+IiIiICGBwm4iIiMjoRFHE3XvA7j0iLlwEUjTsoS0IaT2wvcsBXl4CihdLC2Z7uANmZgyAmjJnZwH/mwcMHioiLPxz+d79QPHiIr7pyL8vERERERGD20RERERGkpAg4uTptKD202eZz29lBVSpDNSoLqC8N+BVJq2XL+VOBQsImDMbGDVGRGLS5/LFS0QULQL41uTfnoiIiIjyNga3iYiIiAwsOVnEwcPAxk3SXrnKODgA9esBDRsIqFEdsLZmQDMv8SkvYPIkYMavnwfzTEkFpk0XsWp5Wt50IiIiIqK8isFtIiIiIgMRxbS0I8tXigh+rXo+W1ugSSOgUUMB1aoClpYMYOZlzZoIePlSxIZNn8uiY4AfJotYswpwcuT+QURERER5E4PbRERERAbw5q2IhYtEXLqiep7ChYBvOglo3RJwcGDAkj7r10dAYJCIs+c+l71+A8z6TcTc2cyxTkRERER5E4PbRERERHp29B8R8xeKSEhQ/nmN6kDXzgJq12KQkpQzMxPw0yTg7VsRjx5/Lr90Gdi8Fejb23h1IyIiIiIyFga3iYiIiPQkIUHEgkUijhxV/rlPeWDYEAFVKjOgTZmzsRHw269A/8EiIiI+l6/bIMK7HFDLl/sREREREeUtZsauABEREVFuFBwsYshw5YFtt3zAtJ8FrFzGwDZpx8NDwMxfBJhlaMWLIjBjloi3b0XVCxIRERER5UIMbhMRERHp2L8XRAwYIuLpM8XPvm4HbNssoHlTAYLAwDZpr1pVAUMHS/edyEjgp19EJCQwwE1EREREeQeD20REREQ6IooiNm8V8dNUETEx0s9sbYDpUwX8MMGMg0VStn3bDWjwlbQsIABYsIjBbSIiIiLKOxjcJiIiItIBURSxbIWI1WsVg4uensCaVQKaNmFQm3RDEARM+VFAsaLS8iNHgWMnGOAmIiIioryBwW0iIiKibEpJETHvfyJ2/K34WfOmwJoVAjyLM7BNumVvL2D2rwJsbaTl8/8UERzMADcRERER5X4MbhMRERFlQ2qqiHl/iDisZODI0SMETP1JgK0tA9ukHyU8Bfz4vXT/iosDpv8qIimJAW4iIiIiyt0Y3CYiIiLKotRUEb//IeLoP9JyczNg6hQBXbtw0EjSv6ZNBLRpLS179BhYs47BbSIiIiLK3RjcJiIiIsoCURSxaIlij21LS2D2rwJaNGdQmwxn7CjF/Nt/7QCuXWeAm4iIiIhyLwa3iYiIiLJg0xZgzz5pmYUFMGuGgC/rMbBNhmVrK2D6NAGWltLyWb+JCAtjgJuIiIiIcicGt4mIiIi0tP+giLXrpQHD9MB2vboMbJNxeJURMGywdP8LCwdmzxWRmsoANxERERHlPgxuExEREWnh8hURCxZKA4WCAEz9iT22yfi6dAbq1JaWXb0G7N1vlOoQEREREekVg9tEREREGnr+QsQvM0WkpkrLx44W0KQRA9tkfIIgYMqPAtzyScuXrxQRFMTe20RERESUuzC4TURERKSB8AgRP04RERsrLe/TC/imIwPblHO4ugr4abJ0n0xMBH79TURyMgPcRERERJR7MLhNRERElImUFBG/zBDx9q20vGkTYGB/BrYp5/GtKeCbjtKyR4+BTVsY3CYiIiKi3IPBbSIiIqJMbNws4tZtaVl5b2DyDwIEgcFtypmGDRFQrKi0bPMWwM+fAW4iIiIiyh0Y3CYiIiJS4+YtERs3S8vc8wNzZgmwtmZgm3IuGxsBU38SYJ6hxZ+SmpaeJD6eAW4iIiIiMn0MbhMRERGpEB4uYuYsEWKGOKC5GTBzugA3Nwa2KefzLiegT2/pvvrqVdoAk0REREREpo7BbSIiIiIlRFHEvD9EfAyTlg8aKKBiBQa2yXT07gl4e0vL9u4Hrt9ggJuIiIiITBuD20RERERKHD4CXPxPWla7FvBdd+PUhyirLCwETJ0iwNpaWv77HyJiYxngJiIiIiLTxeA2ERERkZzXr0UsXioN+rm6Aj9NEmBmxl7bZHqKFRUwfKh0330bAqxey+A2EREREZkuBreJiIiIMkhNFTF7roi4eGn5j98LcHVlYJtMV8f2QJXK0rI9+4B79xngJiIiIiLTxOA2ERERUQYHDgH37kvL2rUFvqzLwDaZNjMzAT9+L8DK6nOZKAJzfxeRkMAANxERERGZHga3iYiIiP7f+/ciVqySBvkKFQJGDWdgm3KHokUEDOwv3Z9fvgI2bGJwm4iIiIhMD4PbRERERABEUcSfi0TExkrLf5ggwM6OwW3KPbp2BrzLScu27wAeBzDATURERESmhcFtIiIiIgAXLgIX/pOWtW4J1KjOwDblLhYWAib/IMDC4nNZSiowZ56I5GQGuImIiIjIdDC4TURERHleQoKIJcukQT1XV2DEMAa2KXcqWVJA757S/fvpM2DrX0aqEBERERFRFjC4TURERHne9p3A2xBp2agRApydGdym3KtXD6BUSWnZpi0iXgSy9zYRERERmQYGt4mIiChPe/dexJZt0mBelcpAsyZGqhCRgVhaCpj0gwCzDHcESUlp6UlSUhjgJiIiIqKcj8FtIiIiytOWrxCRkPB52swMGDNSgCCw1zblft7lBHTvKi3z8wd27zVOfYiIiIiItMHgNhEREeVZt++IOH1WWvZ1O6BMGQa2Ke8Y0E9AkSLSsjXrRLx9y97bRERERJSzMbhNREREeVJysoiFS6TBO0dHYFB/BrYpb7G2FjDpe+l+Hx8P/PGnCFFkgJuIiIiIci4Gt4mIiChPOnQEePZMWjawPweRpLypSmUBHdpLy65eA06fMU59iIiIiIg0weA2ERER5TmRkSLWrJP2SC1VEmjfzkgVIsoBhg4S4OYmLVu0VERkJHtvExEREVHOxOA2ERER5TkbN4uIjJSWjRklwMKCvbYp73JwEDB+jPQYCA8Hlq9kcJuIiIiIciYGt4mIiChPefNWxN790rJGDYFqVRnYJvqqPlC/nrTs8NG0wVeJiIiIiHIaBreJiIgoT1m3XkRy8udpS0tg+BAGtokAQBAEjB0jwNZWWv6/+SISEhjgJiIiIqKchcFtIiIiyjOePBFx4pS0rFMH4IsvGNwmSlfAQ8CQQdJj4uUrYOtfDG4TERERUc7C4DYRERHlGSvXiBAzxOfs7YFePRjYJpLXsT3g7S0t27INeBHIADcRERER5RwMbhMREVGecPeeiKvXpGXfdRfg4sLgNpE8c3MBP04UYG7+uSw5Gfj9DxGpqQxwExEREVHOwOA2ERER5QnrN0oDcm75gK6djVQZIhNQupSAb7tJy+4/AA4eNk59iIiIiIjkMbhNREREud7tOyJu3pKW9eopwNaWvbaJ1OnXR0DhQtKylatEfPjI3ttEREREZHwMbhMREVGut26DNBDnnh9o18ZIlSEyIdbWAiaOlz4Eio4Bli5ncJuIiIiIjI/BbSIiIsrVbt0WceeutKxnDwHW1uy1TaSJmjUEtGguLTt1Ou3YIiIiIiIyJga3iYiIKNcSRVGh17aHO3ttE2lr5HABjo7SsgWLRCQnM8BNRERERMbD4DYRERHlWjduAnfvSct69xRgZcVe20TacHURMHig9LgJDAR27TFOfYiIiIiIAAa3iYiIKJcSRRHrN0p7lRYoALRpbaQKEZm4r9sCXl7SsvUbRYSGsvc2ERERERkHg9tERESUK12/Adx/IC3r3VOApSV7bRNlhbm5gAljpcdPXBywdAWD20RERERkHAxuExERUa4jiiLWrpcG3L4oCLRuaaQKEeUSPuUFhZz1p88AN28xwE1EREREhsfgNhEREeU6N24Cfv7Ssj692GubSBeGDFIcXPLPRSKSkhjgJiIiIiLDYnCbiIiIcp2tf8n12v4CaNnCSJUhymVcXAQMkR9cMoiDSxIRERGR4TG4TURERLmK/yMRN29Jy3p8K8DCgr22iXSlXVugrNzgkhs2inj/nr23iYiIiMhwGNwmIiKiXEW+17ZbPqAVe20T6ZS5uYAJ4wQIGZ4ZxcUDyzi4JBEREREZEIPbRERElGsEBYk4f0Fa1rWLAGtr9tom0rXy3gLayg8ueRa4cZMBbiIiIiIyDAa3iYiIKNfYvlOEmCGu5mAPdPjaePUhyu2GDBTg5CQt4+CSRERERGQoDG4TERFRrhAeLuLESWlZxw6AvT17bRPpi4uLgMFyg0sGveTgkkRERERkGAxuExERUa6w7wCQmPR52tIS6NyJgW0ifWvXBihXVlrGwSWJiIiIyBAY3CYiIiKTl5AgYt8BaSCtWRPAzY3BbSJ9UzW45FIOLklEREREesbgNhEREZm8k6eB8HBpWZfODGwTGYp3OQHt2krLzpwFrt9ggJuIiIiI9IfBbSIiIjJpoihi125pAK16NaBMaQa3iQxJ2eCSCxdzcEkiIiIi0h8LY1eAiIiIKDtu3ASePZeWdevCwDblfC9evMCLFy8QGhqKpKQk5M+fH4ULF4aPjw/MzIzTB+Xjx494+fIl3r17h4iICMTFxcHc3BwODg5wd3dH2bJl4eHhoXRZZ2cBQwYB/5v/OZgd9BL4ezfQ41tDfQMiIiIiyksY3CYiIiKT9rdcr+1iRYHatYxUGaJMiKKIAwcOYPfu3Xj69KnSedzd3dGqVSv069cPtra2eq3Px48fsW/fPjx48ACPHj1CREREpssUK1YMbdq0QefOnWFvby/5rG1r4PARwP/R57KNm0Q0bQIU8NDsodOyZcuwZcsWhfIrV65otDwRERER5R1MS0JEREQmKzBIxGW5eFeXzgLMzNhzm3Kejx8/YvTo0Zg7d67KwDYAhIaGYvPmzejVqxf8/f31Wqdnz55h7dq1uHLlikaBbQB4+fIlVqxYge7du+PSpUuSz8zNBYwfq2RwyeWapSZ59OgR/vrrL02rT0RERER5HIPbREREZLLkc207OQEtmxupMkRqxMXFYfz48bh+/bqk3MPDA3Xr1kXDhg1RsmRJyWfBwcEYM2YMgoKCDFlVuLq6olKlSmjQoAFatmyJhg0bwsfHB9bW1pL5QkND8f333+PkyZOScmWDS549l/ngksnJyZg9ezZSUlJ08TWIiIiIKA9gWhIiIiIySZ8+iTh2QlrWvh1ga8te25Tz/Prrr3j8+LFs2s7ODpMmTULTpk0l+bUfPHiAX3/9VRbQjoyMxIQJE7B161bY2NjopW4FCxbEl19+ierVq6NSpUpwc3NTOl98fDxOnjyJFStWICwsDACQkpKC3377DT4+PihUqJBs3iEDBZz7V0Rk5Ofl/1wkYtN6wNJS+TG6efNmPHnyBEDa7xMbG6ujb0hEREREuRV7bhMREZFJOnAISEj4PG1uDnTqwMA25Tx37tzBmTNnZNOWlpZYtmwZmjdvrjBwZIUKFbB69WoUKVJEVhYcHIy///5bL3WrVq0a9u/fj4kTJ6JRo0YqA9sAYGNjg3bt2mHdunXInz+/rDwuLk4hR7azs4Chg6XH48tXwM5dytf94sULbNiwQTY9bNiwLHwbIiIiIsprGNwmIiIik5OcLGLffmmKg6aNAXd3Brcp51m1apVkuk+fPvD29lY5v7OzMyZPniwp27JlC2JiYnReNwsL7V/k/OKLLzBkyBBJ2b///qswX9vWgPzX3LhZxLv30mM3NTUVs2bNQlJSEgCgSZMmqFevntb1IiIiIqK8h8FtIiIiMjn/XQJCP0jLunRmYJtynrdv3+L27duyaWtra3Tt2jXT5apXr47y5cvLpqOionD+/Hm91DEr6tatK5kOCwtTSCNiZiZgwhjp4JLx8cCSZdLg9o4dO/Dw4UMAgJOTE8aPH6+fShMRERFRrsOc20RERGRy9sr12vYpD5Qrq5/gtiiKePjwIYKDgxEaGgozMzMULlwY1apVg5OTk9pl4+PjcffuXQQGBiI2NhaOjo4oXrw4qlatmqUesxnFxsbi3r17+PDhA8LDw2FmZoZ8+fLB09MTZcuWVUh3oa3g4GAEBQXh06dPiImJQXx8PBwdHZE/f374+PjA1dU1W+tXJiEhAXfv3kVISAjCw8Nhb2+PggULomrVqrC3t9f59gxBvkdzgwYNMt1v0rVt2xZ+fn6y6XPnzqFVq1Y6rV9WKfsOsbGxsLOzk5SVKyfg67YiDhz6XHbu37TBJWvWEBAcHIzVq1fLPhs5ciTc3Nzw5s0bvdWdiIiIiHIPBreJiIjIpAQGibh5S1qWnVzbN2/exIgRI2TTAwYMwKBBg5CUlITt27dj3759ePv2rcJyVlZW+PrrrzF8+HCFgF5ERATWrFmDI0eOID4+XmFZJycn9O/fH127dtU6CH3lyhVs2bIFd+/eRXJystJ5XFxc0K5dO/Tq1UvjQGpcXBwuXryIc+fO4datWwgPD1c7f9myZfHtt9+iWbNmMDc312gbM2fOxNGjR2XTe/fuRaFChRAVFYVVq1bh+PHjiIqKUljO3NwcLVq0wNChQ+Hh4aHRtnKKK1euSKarVaum8bLy8167dg2pqanZfnChC/LHhKWlJVxcXJTOO/j/B5f8lGFwyQWLRGxcK2LOnDmyY6RatWpo166dvqpMRERERLmQ8VvGRERERFqQz7Xt4gw0bKDbbXz69AlDhw7F8uXLlQa2ASAxMRG7d+/G0KFDJQHZx48fo1evXtizZ4/SwDYAREZGYuHChfj111+RmpqqUZ0iIiIwatQojB07Fjdv3lQZ2E6fd8uWLejSpYskJYY6U6dOxdSpU3H69OlMA9tA2vecPn06xowZo9H8qjx8+BC9evXC7t27lQa2ASAlJQVHjx5F//798eTJkyxvyxiePXsmma5QoYLGy3p6ekoeTsTFxancHw3tn3/+kUxXqlRJ5dsIygaXfPUKmDZ9P27evAkgLV3LpEmTIAhML0REREREmmNwm4iIiExGbKyIf45Ly9q2AaytdRcQS05Oxvjx42U5gK2trVGtWjU0a9YM9evXh7u7u2T+gIAAzJo1CwDw8uVLjBo1CqGhoQDSBgasXbs2mjdvjtq1ayv08P7nn3/w999/Z1qnV69eYcCAAbh+/bqk3M7ODtWqVUPTpk3RuHFjeHt7S3r1fvr0CaNHj1boPayMKEofGtjb26NChQpo3Lgx2rVrh0aNGsHHxwfW1taS+W7cuIGxY8ciMTEx020o+17jxo1DSEgIgLQe7b6+vmjevLnS3/rDhw+YNGkS4uLitN6WMcTExMj2hXRFihTRah2FCxeWTL948SLb9cquc+fOYevWrZKyHj16qF2mjdzgkqL4Hv+eXSab7tevH4oVK6bTehIRERFR7se0JERERGQyjp8EMo5ZZ2YGdPhatz099+3bh8jISFhZWWHgwIHo2rUrbGxsZJ+Looj9+/fjjz/+QEpKCoC0vMrXrl3DkiVLEBkZCQ8PD4wdOxYNGzaUBJvj4uKwePFi7Nu3T1a2evVqtGvXTmVO6fj4eEyaNAmvX7+WlRUvXhxDhgxBgwYNFFKCfPjwAWvWrMGBAwcAAElJSZg+fTo2b96caUqPMmXKoGXLlqhbty5KlCgBQRBkqSYiIiIgiiLi4+Nx/PhxrFy5UtZj+/Hjx1izZo0kvYsmfvnlF0RGRqJgwYIYPXq0wvcRRRHHjx/H3LlzZb3gX79+je3bt6N///5q1x0REaEwwKE+ODo6wtHRUelnr169kky7uLhI9iVNFChQAP7+/irXaQjx8fEICwuDv78//vnnH1y8eFHyeefOnRUGmJSXNrgkMGiYCFEEUpN+BxADAChVqhR69uypr+oTERERUS7G4DYRERGZBFEUsXeftHdx3TpAwYK6DW5HRkbCwsICCxYsQI0aNRQ+FwQBHTt2RHR0NJYt+9zz9Oeff0ZkZCQKFSqEVatWKfQ6BgBbW1v8+OOPePfuHS5dugQgbRC+06dP4+uvv1ZanyVLlkhSW9SpUwdz5sxRGSTNnz8/Jk+ejOLFi2Px4sUA0gK9q1evxs8//6zye0+YMAGFChVS+Xk6GxsbtG/fHrVq1cKQIUPw7t07AGn5s/v27avVwI8REREoWbIkli1bpnSASkEQ0LJlS9nvlu7gwYPo16+f2hQWixcvluT31pf0HO3KREdHS6azMgin/DLy69SHpk2barQdCwsL9O/fH/369dNoveXKCWjfTsTefccgpl76/1IztO8wOdsDrBIRERFR3sS0JERERGQS7twFXgRKy7IzkKQ6ffv2VRrYzqhLly6SNCORkWmj5U2bNk1pYDujXr16SaZv3LihdL7Q0FAcPHhQNv3FF1+oDWxn9N1330l60x4/fhwfP35UOb8mge2MChYsiDFjxsimY2JicOHCBa3WYW5ujtmzZ2ca9G3QoAG8M+S0CAkJMUoPZm3J9xyXT+miCfllDNEbPTN2dnbo06cPdu/ejf79+2uVJ7vLN+EQkxfJpgXzb7DvYHkkJopqliIiIiIiUo7BbSIiIjIJe+UGkixSBKhRXffbsbGxQbdu3TSar1KlSpKyypUro0qVKpkuW7lyZUnQMiAgQOl8+/btQ1JSkmx6wIABWqW1+O6772T/n5SUhMuXL2u8rCbq168PS0tL2fT9+/e1Wr5Ro0YoUaKERvPWq1dPMq3qN8tJ5HODW1lZab0O+eB2Tsg3Hhsbi4MHD2LXrl1qH5gos3r1Aojip/+fKgAziyF49QrYuUv39SQiIiKi3I/v/xEREVGO9+GDiPNynYI7tRdgZqb7ntsVKlRQmUNZnvzggLVr19ZoOTMzMxQpUkSWbiQsLEzpfNeuXZP9v7m5ORo3bqzR+tNVrlwZ5ubmstzgd+/eRdu2bbVaR2pqKmJjYxEaGqp00EgnJydZgDMwMFCrdcsHrNXx9PSUTKfn+1Zl2rRpmDZtmlb10TdtejhnZ5ns2rp1K1JTU2XTMTExeP/+Pe7fv49jx44hJCQE4eHh2LZtGw4dOoTp06dnmnMbSMtNf/r0adm0meVECELa2w+bt4ho2Rxwdzf89yUiIiIi08XgNhEREeV4Bw8D/x+fBQBYWwOtWupnW/JBVHUcHByyvGzG3NQxMTEKnyckJODRo0eyaQ8PD0RERCAiIkLjbQBpAx6mLxMcHJzp/HFxcbh48SIuXLiAgIAABAcHIzk5WaNtRUVFaVU3TXttA1B44GCI3NPZZWtrK5lOSEjQeh3yy8ivUx8KFiyoUFamTBnUq1cPAwcOxJYtW7BmzRqkpqYiMjISP/zwA/7880/UrFlT5TojIyPxv//9Tzbt69sEt+/Xg/j/L2TExQMr14iYOoXBbSIiIiLSHIPbRERElKMlJ4s4dFiakqR5U8DRUT9BMCcnJ43nNTc3l0xr2uNbftmUjJH7//fx40dJUPnt27fo1KmTxutXJj0vuCoHDhzAypUrM+0VrYq2AWdtfi/5AQc1DbgbU8ac7IBugtvy6zQ0CwsL9OvXD3Z2dvjzzz8BpP0tZs6ciV27dqlMm7No0SJ8+PABQNox9ssv47F2A3Do8Od5jp8AOnUQ4VOeAW4iIiIi0gxzbhMREVGOduUaEPpBWtZRTwNJAtlLA6HLFBKZBaKzQt1ghAsXLsScOXOyHNgGIElloQljpNwwJPme/dr2ugcU06/Ir9NYunbtirJly8qmQ0NDcezYMaXzXr16FUeOHJFNjxw5Em5ubhg8QECGFxgAAIuWiEhN5eCSRERERKQZ9twmIiKiHO3gIWmgy9sb8CqTu4OiACQDSeqKKCoPGp4+fRo7duyQlJUsWRLNmjWDr68vChcuDEtLS1haWioMitihQweEhITovK7ZFRERoTaYryuOjo4qe6AXLVpUMh0eHo74+HitBgWV/23l12ksgiCgWbNmePz4sazsypUr6NChg8K8a9askf1/6dKlUaNGDbx58wYA0Kk9sHnr5/3y4UNg5y4B3mXfK6wnfZl0+fLl0+q3JCIiIqLch8FtIiIiyrHevxdx5aq07Os2uT+wDQDOzs6S6Vq1amHRokV62VbG4CMADB48GP369YOZmRlcXFwApAWLlQXHDRFAzorFixfj6NGjet/OgAEDMGjQIKWf2dvbw93dHaGhobKy4OBglC5dWuP1ywd0tcnrrm/FihWTTKvK6Z4xtcrTp08zTa+z6E/l5fLLzZs3Dw0aNNCgpkRERESUWzEtCREREeVYR/4BMma6sLUFmjQ2Xn0Myc3NTTL98uVLvWzn5cuXCAwMlE1XrVoV/fv31yhlSHx8vNaDSOY1JUuWlEw/ePBA42UDAwPx6dMn2bSNjQ0KFSqks7pll3wedH28bUBEREREpA6D20RERJQjpaSIOHxU2lO4WVPAzi5v9Ny2t7eXBEbfvn2rlwC3fG/bevXqabzsgwcPVKY6oTS1a9eWTN+6dUvjZeXnrVWrFszMck7z/f17aeqQfPnyGakmRERERJRXMS0JERER5UjXbgDv3knLvm6bNwLb6WrVqoXnz5/Lpg8cOIBRo0bpdBvyPa+1GbAw4yCBOc20adMwbdo0Y1cDDRo0kKST+ffffxEVFaUyT3dG8r9vw4YNdV29bLl27ZpkukiRIkrn27JlS6brehEoom9/ESn//6aGmPoWKYnfSOa5cuVK1ipKRERERLlWzun6QURERJTBocPSHsFeZYByZfNWcLtTp04wNzeXTe/evVsS7NYF+SBrxhQl6vj7++PkyZM6rUtuVKhQIVSpUkU2nZCQgJ07d2a63K1bt/Dw4UPZtKOjI+rXr6+PKmbJkydP8O+//0rKvvrqqyyvr4SngI4ds1srIiIiIsprGNwmIiKiHOfDRxH//Scty2u9tgGgaNGiaNu2rWw6ISEB48ePx4sXL7RaT2JiIg4fPqz0szJlykimjx49io8fP6pd3+vXrzFlyhQkJydrVY+8aujQoZLpTZs2wd/fX+X8nz59wm+//SYp69WrV6a96t+8eYPatWtL/skPSCk//+HDh5GSkqLBt/gsODgY33//vWS5IkWKKKRg0Vb/vgKcnbK1CiIiIiLKYxjcJiIiohznn2OQpScAABubtHzbedGYMWNQunRp2XRISAj69u2LFStW4J183pYM4uPjce3aNcyfPx/t27fHrFmzlM7n7u6OypUry6YjIyMxfPhwpQMfJiYm4sCBAxg4cCDevn0La2tr2NnZZePb5Q1VqlRB48afR0JNSkrCyJEjcfLkSaRmHDEVaXnMBw8eLMmFXqRIEXTt2lXn9YqOjsasWbPQpUsXrFq1CgEBAWoD3W/evMHq1avRs2dPhISEyMrNzMzwww8/wNLSMlv1cXIUMKB/3nuIRURERERZx5zbRERElKOkpoo4KJeSpEljwN4+bwa97OzsMH/+fIwePRpBQUEA0npwb9q0CZs2bULhwoVRvHhxODg4ICUlBTExMXj79i2Cg4M17pE7YsQIDBs2TDZ/UFAQBg4ciOLFi6NcuXKwtLRESEgI/Pz8EBsbK1tu/Pjx2LBhg6SMlJs6dSqCg4MREBAAAIiJicHUqVOxdOlSlC5dGpaWlnj16hWePXsmWc7JyQnz58+HjY2N3ur25s0bbNiwARs2bIC1tTVKlSoFV1dX2NvbIyUlBdHR0QgMDFT6MMXMzAxTp06Fr6+vTurydVtg/wFA7mcgIiIiIlKKwW0iIiLKUW7eAt6+lZblxZQkGRUoUAAbNmzAvHnzcPz4cclnr1+/xuvXrzNdh7oBDCtVqoTJkydj7ty5klQjQUFBsoB6Rubm5hg9ejTat2+PDRs2aPFN8i5bW1v8+eef+OWXX3Djxg1Z+bt371T2wC9SpAhmzpyJ4sWLG6qaSEhIgJ+fn0bzenp64scff0TVqlV1tn0LCwGjRwJjxulslURERESUizG4TURERDmKfK/tUiWB8t5GqkwOYmdnhxkzZqBnz57Ytm0bLl26hMjISLXLuLu7o1q1amjQoAG+/PJLtfO2bdsWnp6eWL58OW7duqV0Hmtra9StWxd9+vRBuXLlsvxd8io3NzcsWbIE+/fvx+7duxV6aafLnz8/WrVqhf79+8PW1lZv9SlevDhmzZqFq1ev4vbt25JUKKpYWlqievXqaN26NRo1apTtVCTK1KguoGZN4Ipc3v2XL0UUK5a3H3QRERERkZQgiqKY+WyaCw8P1+XqjEoQBLi4uAAAIiIioOOfiogoUzwPUV4TESGiQ2cRGccpHDdawDedGNCSl5qaiqdPn+LFixeIjIxEVFQUrK2tYW9vjy+++AKenp4oUKBAltYdEhKCe/fu4cOHD7C0tES+fPlgb2+PihUrwt7eXsffJO968eIFnj17hg8fPiApKQn58+dH4cKFUaFCBZiZGX5onE+fPuHFixcICQlBREQE4uLiYGZmBnt7ezg6OqJEiRIoWbIkLCz03z/m9WsRPfuKSEr6XFa3NvD7XA4ZlJewHURExsbzEJHuubq66nR97LlNREREOcaJU5AEtq0sgWbNjFefnMzMzAxeXl7w8vLS+boLFiyIggUL8oZOz0qUKIESJUoYuxoyzs7OqFKlirGrAQAoXFhA184itm3/XHbpCnDlqojatfiwi4iIiIjSsOsDERER5QiiKOLIUWnwtEEDwMmRgSyivKhPLwFu+aRlS5aJSE7mQxYiIiIiSsPgNhEREeUIjwOAZ8+lZW1aMbBNlFfZ2QkYPEh6Dgh6Cezdb5z6EBEREVHOw+A2ERER5QhH/pH2xixYAKhW1UiVIaIcoVULoKxc5p31G0VERLD3NhERERExuE1EREQ5QEKCiJMnpWWtWwkwM2PPbaK8zMxMwJhR0vNAdDSwdgOD20RERETE4DYRERHlAP9eAKJjPk8LAtC6pfHqQ0Q5R6WKApo2kZYdPAQ8e84ANxEREVFex+A2ERERGZ38QJLVqwEFC7LXNhGlGTZEgLX15+nUVGDREhGiyAA3ERERUV7G4DYREREZ1du3Im7ekpa1ac3ANhF9VsBDQI9vpeeFW7eB8xeNVCEiIiIiyhEY3CYiIiKjOnpM2vPSwQH46ksjVYaIcqzvugMeHtKyZStEJCSw9zYRERFRXsXgNhERERlNaqqIo8ekZc2bAtbW7LlNRFI2NgKGD5GeG968Af7ebaQKEREREZHRMbhNRERERnPzFvDunbSMKUmISJUmjYGKFaRlm7eK+PCRvbeJiIiI8iIGt4mIiMhojvwjDUiVLgV4lTFSZYgoxxMEAWNGCRAyPAOLiwNWr2Fwm4iIiCgvYnCbiIiIjCIySsT589KyNq0FCAJ7bhORauXKCmjdSlp29Bjg/4gBbiIiIqK8hsFtIiIiMopTp4HEpM/TlpZp+baJiDIzeIAAOztp2aIlIkSRAW4iIiKivITBbSIiIjKKw0elQagv6wHOzuy1TUSZc3MT0KeX9Hzx4CFw8rSRKkRERERERsHgNhERERnckyciAgKkZW1aMbBNRJrr8g1QuJC0bOVqEQkJ7L1NRERElFcwuE1EREQGd+SYNPjknh+oWcNIlSEik2RlJWDkcOlDsffvgZ27jFQhIiIiIjI4BreJiIjIoBITRZw4KS1r1RIwN2fPbSLSzpf1gGpVpWVbton4+JG9t4mIiIjyAga3iYiIyKAuXgIiI6VlTElCRFkhCGm9t4UMp5C4OGDtBga3iYiIiPICBreJiIjIoI7JpSSpWgUoXJjBbSLKGq8yAlq1lJYdOQo8fcYANxEREVFux+A2ERERGUxYmIir16RlrVowsE1E2TN4gABbm8/TqanAkmUiRJEBbiIiIqLcjMFtIiIiMphTp4GU1M/TNjZAwwbGqw8R5Q758wvo8Z30QdnNW8DlK0aqEBEREREZBIPbREREZDDHTkh7UTaoD9jZsec2EWVf966Ae35p2bIVIpKT2XubiIiIKLdicJuIiIgM4tlzEQFPpGUtmZKEiHTExkbAkMHSc0rQS+DAISNViIiIiIj0jsFtIiIiMojjcr228+cHqlU1UmWIKFdq3hQo6yUtW79BRGQUe28TERER5UYMbhMREZHepaSIOH5SWta8GWBuzp7bRKQ7ZmYCRo+Unlc+RQKbtzC4TURERJQbMbhNREREenfzFvDxo7SsZTMGtolI9ypXEtDwK2nZ7r3A69cMcBMRERHlNgxuExERkd4dOy4NKnl5ASVLMrhNRPoxbIgAC4vP08nJwIpVDG4TERER5TYMbhMREZFexcaK+PeCtKxlcwa2iUh/ChcW0LmTtOzceeDuPQa4iYiIiHITBreJiIhIr879CyQkfJ42NwOaNTFefYgob+jTS4Czk7Rs8VIRqakMcBMRERHlFgxuExERkV4dOyENJNWqBbi6suc2EemXo6OA/v2k55rHAcCJU0aqEBERERHpHIPbREREpDchISJu3ZaWtWzBwDYRGUb7dkDxYtKyVatFxMez9zYRERFRbsDgNhEREemNfA9JB3ugXh3j1IWI8h4LCwEjhkkfqIV+AHb8baQKEREREZFOMbhNREREeiGKIo4dl/aObNwYsLZmz20iMpw6tYEa1aVl27aLCAtj720iIiIiU8fgNhEREemF/yPg5StpWcvmDGwTkWEJgoCRwwUIGU4/cXHA+k0MbhMRERGZOga3iYiISC/ke20XKgRUrGCkyhBRnla6lIBWLaVlhw4BL18ywE1ERERkyhjcJiIiIp1LShJx6oy0rGVzAYLAnttEZBwD+wmwsvo8nZIKrFzD4DYRERGRKWNwm4iIiHTu8hUgMlJa1qK5cepCRAQAHh4CunWRlp2/ANy7zwA3ERERkalicJuIiIh07tgJabCoUkWgcCH22iYi4+rxrQAXZ2nZ8pUiRJEBbiIiIiJTxOA2ERER6dSnTyIuXZaWtWzBwDYRGZ+Dg4C+faTnowcPgX/PG6lCRERERJQtDG4TERGRTp0+CyQnf562sgQaNTBefYiIMmrfDihcSFq2crWI5GT23iYiIiIyNQxuExERkU4dOy4NEH35JeDoyJ7bRJQzWFoKGDJYek4Kfg0cOGSkChERERFRljG4TURERDrz8qUIP39pWcvmDGwTUc7SqAFQ3ltatmGTiJgY9t4mIiIiMiUMbhMREZHOyA8k6eoK+NY0UmWIiFQQBAEjhkkfvEVEANu2M7hNREREZEoY3CYiIiKdSE0VcfyktKxZE8DCgj23iSjnqVxJQP160rKdu4DQUAa4iYiIiEwFg9tERESkE3fuAu/eSctatmBgm4hyrqGDBZhnuCNKSADWbWBwm4iIiMhUMLhNREREOiGfkqRkCaBMaSNVhohIA8WLC2jbRlp29Bjw/DkD3ERERESmgMFtIiIiyrb4eBFnz0nLWrYQIAjsuU1EOVv/vgJsbT5Pp6YCK1czuE1ERERkChjcJiIiomw7fxGIi/s8bWYGNG9qvPoQEWnKzU1A927SsktXgFu3GeAmIiIiyukY3CYiIqJsO3ZcGgSqUR3In5+9tonINHzbTUA+V2nZshUiUlMZ4CYiIiLKyRjcJiIiomz58EHEjZvSspbNGdgmItNhZyegfz/peetxAHD6rJEqREREREQaYXCbiIiIsuXEqbQctelsbYH6XxqvPkREWdG2NVCsqLRs9RoRiYnsvU1ERESUUzG4TURERFkmiqJCSpJGDQBbW/bcJiLTYmEhYNgQ6bnrbQiw74CRKkREREREmWJwm4iIiLLs6VPg+QtpWcsWDGwTkWn6sh5QqaK0bONmEZFR7L1NRERElBMxuE1ERERZduyENODj4QFUqWykyhARZZMgCBgxTPqALioK2LqNwW0iIiKinIjBbSIiIsqS5GQRJ05Jy1o0B8zM2HObiEyXT3kBjRpKy3bvAUJCGOAmIiIiymkY3CYiIqIsuX4DCA+XlrVsxsA2EZm+IQMFmJt/nk5MAtasZ3CbiIiIKKdhcJuIiIiyRH4gSW9v/B979x1dVbWucfidqfQuvQmCIKCACiKCggrSBOkdlKIoqHhsx37sXZQqUhTpIqB0O6hYaCJYACkqvZcQElLm/YNLwkwCJCHJ2uX3jHHGYH577b0/vJfstd79ZS5VqEC4DcD/lS1rdFtbt/bZ59LGTQTcAAAAvoRwGwAAZNixY1bffufWbmlGsA0gcPTpbZQ3b/LaWmnUGCtrCbgBAAB8BeE2AADIsG+Wnvo1/dPCwqQbm3jXDwBktcKFjHp2d7+0W7lK+nmFRw0BAAAgFcJtAACQYYs/cycXG1wjFSrE5DaAwNKpg3RRMbc26l2rxESmtwEAAHwB4TYAAMiQHTut1v7q1m5pTrANIPDkymXUv5/7823zZunLrz1qCAAAAA7CbQAAkCGffe6uCxSQGtT3phcAyG63NJMurujWxo23io9nehsAAMBrhNsAACDdrLVavMQNdG5sKkVEMLkNIDCFhhoN7O/+jNuxU5q/0KOGAAAAkIRwGwAApNv6306FOmdqwZYkAALcdQ2ly6q7tfcnWcXGMr0NAADgJcJtAACQbimntsuXk6pX86gZAMghxhjdOcD9Im//funjOR41BAAAAEmE2wAAIJ1iY22qm6jd0tzIGCa3AQS+K+saXXWlW5s81SoqiultAAAArxBuAwCAdFn+gxQV5daa3exNLwDghZTT20ePStNmEG4DAAB4hXAbAACky+LP3ACnbh2pZAmmtgEEj+rVjK5v7NZmfiQdPEjADQAA4AXCbQAAcF6HDln9+JNbu6UZwTaA4DOgn1HIGVdRJ2KkSVMItwEAALxAuA0AAM7ri6+khITkdWSkdMP13vUDAF6pWMHolmZu7ZNPpd27CbgBAAByGuE2AAA4r8VL3NDm+kZSnjxMbgMITnf0NQoPT17HxUkT3ifcBgAAyGmE2wAA4Jy2bLXasNGt3dKcYBtA8CpZ0qjtrW5t8WfS1m0E3AAAADmJcBsAAJzTkhQ3kixaVLqyrkfNAICP6NPTKHeu5HViojRuAuE2AABATiLcBgAAZ5WQYPXZ526t+c1SaCiT2wCCW+HCRp07ubWly6Q//iTgBgAAyCmE2wAA4KxWr5H27XdrtzQj2AYASerWxahAAbf27nuE2wAAADmFcBsAAJzV4hRbklStIlWqRLgNAJKUL59Rz+7uz8SVq6RVqwm4AQAAcgLhNgAASFN0tNXSZW6NqW0AcHW4TSpWzK2Nec/KWgJuAACA7Ea4DQAA0rT0WykmJnkdGiLddKN3/QCAL4qMNOrb2/3i748/pG+/86ghAACAIEK4DQAA0rR4iTt1WL+eVKQIk9sAkFLrllKZ0m5t7HirhASmtwEAALIT4TYAAEhlz16r1WvcWvPmBNsAkJawMKN+d7g/I7dtk778ypt+AAAAggXhNgAASGXJZ9KZ28Xmyytdd613/QCAr7upqVS5slub8L5VfDzT2wAAANmFcBsAADistVq42A1jmjQ5ta8sACBtISFGA1JMb2/fIS1e4lFDAAAAQYBwGwAAONb/Jm3f7tZa3kKwDQDn0/BaqXp1tzZxktXJk0xvAwAAZAfCbQAA4FiU4kaSZctKNWt41AwA+BFjjAb2c78M3LNHmjffo4YAAAACHOE2AABIEhtrU90AreUtRsYwuQ0A6XHVlVLtK9zapMlWMTFMbwMAAGQ1wm0AAJBk2XfS8ePJa2Ok5s286wcA/I0xRgNSTG8fOCjNnutNPwAAAIGMcBsAACRZlOJGklddKZUoztQ2AGTEFZcb1bvarU2ZanX8ONPbAAAAWYlwGwAASJL27rVasdKtteBGkgCQKSmnt48clT762KNmAAAAAhThNgAAkCQt+VyyZwwV5s0rNb7Ou34AwJ9Vr2bUqKFbmzbD6uhRprcBAACyCuE2AACQtTbVliRNm0i5cjG5DQCZ1b+f0Zn34z1+/FTADQAAgKxBuA0AAPTb79I//7q1Fs0JtgHgQlSuZNS0iVv76GPp0CECbgAAgKxAuA0AAFJNbZctI9Wq6VEzABBA+vU1CjnjqismRpo8lXAbAAAgKxBuAwAQ5GJjrb78yq21uMXIGCa3AeBClS9vdEtztzZnrrRvHwE3AADAhSLcBgAgyH37nRR1PHltjNS8mXf9AECgub23UVhY8vpknPTBZMJtAACAC0W4DQBAkFuYYkuSK+tKJUswtQ0AWaVUKaM2rd3a/AXSnr0E3AAAABeCcBsAgCC2b5/VylVureUtBNsAkNV69zCKCE9ex8dLH04h3AYAALgQhNsAAASxJZ9LiYnJ6zx5pMaNvOsHAALVRRcZ3drGrTG9DQAAcGEItwEACFLWWi1KsSVJ0xukXLmY3AaA7NCjWxrT2+y9DQAAkGmE2wAABKnf/5D+/settWBLEgDINmlOby+Udu8h4AYAAMgMwm0AAIJUyqntMqWly2t51AwABIme3VNPb09m720AAIBMIdwGACAIxcZaffGlW2txi5ExTG4DQHYqVszo1lvdGtPbAAAAmUO4DQBAEFq6TIo6nrw2RrqlmXf9AEAw6cne2wAAAFmCcBsAgCC0YJEbolx1pVSyJFPbAJAT0preXrBI2r2bgBsAACAjCLcBAAgyO3ZarVrt1lq3JNgGgJzUs5tRRETyOj5e+pC9twEAADKEcBsAgCCT8kaS+fNL1zX0qBkACFLFihm1bePWmN4GAADIGMJtAACCSEKC1cJFbq3ZTVJkJJPbAJDTenRnehsAAOBCEG4DABBEVq6S9u5za2xJAgDeKFaU6W0AAIALQbgNAEAQmb/QDUyqVpGqVCHcBgCvpDW9PYnpbQAAgHQh3AYAIEgcPmz17XdurRVT2wDgqTSntxdKu3YRcAMAAJwP4TYAAEHi8y9PTQSeFhEu3XyTd/0AAE5JOb2dkCB9OJVwGwAA4HwItwEACALW2lRbkjRuLBXIz+Q2AHitWFGjdre6tQUL2XsbAADgfAi3AQAIAhs2Sps3u7VWLQi2AcBXdO+WenqbvbcBAADOjXAbAIAgkHJqu2QJ6cq6HjUDAEiF6W0AAICMI9wGACDAxcRYffGFW2vZwigkhMltAPAlTG8DAABkDOE2AAAB7utvpKjjyWtjpJa3eNYOAOAsmN4GAADIGMJtAAAC3Kfz3VDk6qukkiWZ2gYAX5TW9PYHkwm3AQAA0kK4DQBAANu6zWrderd2a2uCbQDwVWlNby9cJO3aRcANAACQEuE2AAABbP4CNwwpXFhqeK1HzQAA0oW9twEAANKHcBsAgAB18qTV4iVurcUtUng4k9sA4MuY3gYAAEgfwm0AAALUsm+lI0fdWptWBNsA4A+Y3gYAADg/wm0AAALUvBRbktSpLZUrS7gNAP6A6W0AAIDzI9wGACAA7dhhtWq1W2vDjSQBwK8wvQ0AAHBuhNsAAASglFPbBQpI1zfyqBkAQKYwvQ0AAHBuhNsAAASY+HirhYvcWvObpchIJrcBwN8wvQ0AAHB2hNsAAASY73+QDh5ya2xJAgD+ieltAACAsyPcBgAgwMyb7wYeNWtIlS4m3AYAf8X0NgAAQNoItwEACCC791j99LNbY2obAPwb09sAAABpI9wGACCALFhoZc/IOvLmlZre4Fk7AIAswvQ2AABAaoTbAAAEiIQEqwUpbiR5801S7txMbgOAv2N6GwAAIDXCbQAAAsTPK6S9e93arWxJAgABI63p7clTCbcBAEDwItwGACBAfJriRpKXVpWqViHcBoBAkeb09mJp714CbgAAEJwItwEACAD7D1gtX+7WuJEkAASe7l2NwsOT13Fx0rQZhNsAACA4EW4DABAAFi6SEhKT17lySTff6F0/AIDsUayYUauWbu2TedLBgwTcAAAg+BBuAwDg5xISrD6Z54YaNzaV8uZlchsAAlHPbkahocnrkyel6R8RbgMAgOBDuA0AgJ9b/oO0Z49ba3crwTYABKqSJY1uae7W5syVjhwh4AYAAMGFcBsAAD835xM3zKheTapejXAbAAJZr+5GIWdczZ04IX30MeE2AAAILoTbAAD4sX/+tfp5hVu7rS3BNgAEurJljW5q6tZmfSxFRRFwAwCA4EG4DQCAH5ubYmq7QIFT+20DAAJfr57ul5lRx6WP53jUDAAAgAcItwEA8FMnTlgtXOTWWreUIiOZ3AaAYHBxRaMbGru1mR9ZRUczvQ0AAIID4TYAAH7qiy9PTemdZozUlhtJAkBQ6dPL/bl/5Kj0yTyPmgEAAMhhhNsAAPgha61mz3Un866pL5UpTbgNAMGkShWjaxu4tWnTrWJjmd4GAACBj3AbAAA/9Nvv0qa/3Fr7dgTbABCMUk5vHzwkzV/gUTMAAAA5iHAbAAA/NHuOO5FXqpRU72qPmgEAeKrGZUZXX+XWpkyziotjehsAAAQ2wm0AAPzMoUNWXy91a7e1NQoNZXIbAIJVyuntvfukRUs8agYAACCHEG4DAOBn5i+U4uKS1xHhUqsW3vUDAPBe7SuMal/h1j6cYhUfz/Q2AAAIXITbAAD4kYQEq7mfukHFjU2lggWZ2gaAYJdyenvXLumLrzxqBgAAIAcQbgMA4EeW/yDt2ePW2t9GsA0AkK66Uqpe3a1N+tAqIYHpbQAAEJgItwEA8CNzPnEDiurVpOrVCLcBAJIxRn1TTG//86/0zTKPGgIAAMhmhNsAAPiJf/61+nmFW7utLcE2ACDZtQ2kSyq7tUkfWiUmMr0NAAACD+E2AAB+Ym6Kqe0CBU7ttw0AwGnGmFR7b2/eIn2/3KOGAAAAshHhNgAAfuDECauFi91a65ZSZCST2wAA1/WNpYoV3NoHH1pZy/Q2AAAILITbAAD4gSWfSVFRyWtjpLa3EmwDAFILCTHq3dP9jPhzg/TTzx41BAAAkE0ItwEA8HHWWs2a7U7bNagvlSlNuA0ASFvTJlKZ0m6N6W0AABBoCLcBAPBxK1ZK2/52a506EmwDAM4uLMyoV4rp7XXrpTW/eNMPAABAdiDcBgDAx330sTtlV7GidNWV3vQCAPAfzW+WSpRwax98yOQ2AAAIHITbAAD4sH+3W/3wo1vr2N7IGCa3AQDnFh5u1LO7+3mxarW0bj0BNwAACAyE2wAA+LCPU+y1nT//qUk8AADSo+UtUtGibm3SZMJtAAAQGAi3AQDwUVFRVgsWubU2raTcuZnaBgCkT2SkUfeu7ufGDz9Kf24g4AYAAP6PcBsAAB+1cJF04kTyOiREat+OYBsAkDG3tpYKFXJrTG8DAIBAQLgNAIAPSkiwmjXHDR4aXyeVLEm4DQDImNy5jbp0cj8/ln0rbdlCwA0AAPwb4TYAAD7ohx+lnTvdWqeOBNsAgMxp3+7UfRvO9AHT2wAAwM8RbgMA4IM++tgNHKpWkS6v5VEzAAC/lzevUacO7pekX30t/fMPATcAAPBfhNsAAPiYzVusVq12ax3bGxnD5DYAIPM6dpDy5EleWytNnkq4DQAA/BfhNgAAPmb6DDdoKFRIurGpN70AAAJHgfxGHW5za0s+k3buIuAGAAD+iXAbAAAfsn+/1edfurXb2kqRkUxtAwAuXOdORpGRyeuERGkK09sAAMBPEW4DAOBDPp5jFR+fvI4Il9q3I9gGAGSNwoWM2t3q1hYulvbuJeAGAAD+h3AbAAAfceKE1dxP3Vrz5lLhwoTbAICs062LUUR48jouTpo6g3AbAAD4H8JtAAB8xMLF0rFjbq1rJ4JtAEDWKlbMqFUrt/bpPOngQQJuAADgXwi3AQDwAQkJVjM/ckOFa6+RKlQg3AYAZL0eXY1CQ5PXJ09K02cSbgMAAP9CuA0AgA/4brm0Y6db69qFYBsAkD1KljRq0dytzZkrHTlCwA0AAPwH4TYAAD5geoq9TqtWkerU9qYXAEBw6NndKOSMK8ITMdLMWYTbAADAfxBuAwDgsd9+t1q33q117WxkDJPbAIDsU7as0U1N3dqs2dKxYwTcAADAPxBuAwDgsZR7nBa/SGraxKNmAABBpXcvozO/Sz1+XPp4jnf9AAAAZAThNgAAHtq5y2rpMrfWsYNRWBhT2wCA7FexgtEN17u1mbOsoqOZ3gYAAL6PcBsAAA9NnW6VmJi8zp1batPKu34AAMGnTy/3C9WjR6XZc73pBQAAICMItwEA8MjBg1YLF7q1W1tL+fMztQ0AyDmXVDZq1NCtTZ9pFRPD9DYAAPBthNsAAHhk5iyrk3HJ67AwqUsngm0AQM5LOb19+LD06TxvegEAAEgvwm0AADwQFWU15xO3dkszqXhxwm0AQM6rVs2ofj23NmW6VWws09sAAMB3EW4DAOCBOZ9Ix48nr42Runcl2AYAeKdvb/dz6MABacEij5oBAABIB8JtAAByWGys1cxZ7iTc9Y2l8uUJtwEA3qlV0+jKum5t8lSruDimtwEAgG8i3AYAIIctXCwdOuTWenYn2AYAeC/l3tt790qLl3jUDAAAwHkQbgMAkIPi462mTncn4K6+Sqp2KeE2AMB7dWpLl9dyax9OtYqPZ3obAAD4HsJtAABy0FdfS7t2uTWmtgEAvsIYk2rv7Z07pc+/9KghAACAcyDcBgAgh1hrNXmqO/lWvbpUt45HDQEAkIarrzr1+XSmSZOtEhKY3gYAAL6FcBsAgByy/Adpy1a31qu7kTFMbgMAfIcxRn1T7L3977/S19940w8AAMDZEG4DAJBDUk5tV6wgXdfQo2YAADiHaxtIVau4tQ8+tEpMZHobAAD4DsJtAABywNpfrdatd2s9uhmFhDC1DQDwPcYY9Ukxvb11m/Ttd970AwAAkBbCbQAAcsCHU9xJt+LFpZtu9KgZAADSodF1UqWL3doHH1pZy/Q2AADwDYTbAABks01/Wf34k1vr1sUoPJypbQCA7woJMerd0/2s2rjp1D0kAAAAfAHhNgAA2SzlXtsFC0itW3rUDAAAGdDkBql8Obf2PtPbAADARxBuAwCQjbb9bfXV126tU0ej3LmZ2gYA+L7QUKNeKaa3//hDWrHSo4YAAADOQLgNAEA2mviB1ZnDbXnySO3bedYOAAAZdvONUunSbu3U5xvT2wAAwFuE2wAAZJOt29KY2u4gFSjA1DYAwH+EhRn16u5+dq1bL61a7VFDAAAA/49wGwCAbPL+pNRT2106EWwDAPzPLc2lEiXcGtPbAADAa4TbAABkgy1bmdoGAASO8HCjXj3cz7C1v0qr13jUEAAAgAi3AQDIFh+kmNrOm5epbQCAf2vVQipe3K1N/IDJbQAA4B3CbQAAstiWrVZffePWmNoGAPi78HCj3immt39ZK61eQ8ANAAC8QbgNAEAWS7nXdt68UmemtgEAAaBlGtPbE94n3AYAAN4g3AYAIAtt2WL19TdurXNHqUB+wm0AgP+LiEi99zbT2wAAwCuE2wAAZKH3P3SntvPllTp1JNgGAASOVi2k4he5NfbeBgAAXiDcBgAgi6Q1td2JqW0AQICJiDDqmWJ6e80v0i9rCbgBAEDOItwGACCLTJyUemq7M1PbAIAA1LqldFExt8b0NgAAyGmE2wAAZIGzTW3nZ2obABCA0preXrVaWvsrATcAAMg5hNsAAGSBCSmm1ZjaBgAEutYtpWIpprcnvE+4DQAAcg7hNgAAF2jzFqtvlrq1zp0MU9sAgIAWGWnUqzvT2wAAwDuE2wAAXKBx41NPbXfq4FEzAADkoNatUk9vs/c2AADIKYTbAABcgN//sPr2e7fWpTNT2wCA4BAZadQzxfT2ylVMbwMAgJxBuA0AwAUYO869eC9YQOrc0aNmAADwQJtWUtGibo29twEAQE4g3AYAIJNWr7Faucqt9ehulDcvU9sAgOCR1vT2qtWnPicBAACyE+E2AACZYK1NNbVdrJjU4TaPGgIAwEO3tpYuSrH39viJVtYScAMAgOxDuA0AQCb88KO0/je31qeXUWQkU9sAgOATGWnUu5f7Gbj2V6X6DScAAICsRLgNAEAGJSZavTfenUQrVUpq3dKjhgAA8AGtW0olSri1cROY3gYAANmHcBsAgAz6eqm06S+3dkdfo/BwprYBAMErPNyob4rp7d9+l378yaOGAABAwCPcBgAgA+LjrcZPcCfQKlaQmt3kUUMAAPiQFrdIpUu7Naa3AQBAdiHcBgAgAxZ/Jv3zr1sb0M8oNJSpbQAAwsKMbu/tfiZu2Ch9971HDQEAgIBGuA0AQDrFxlpNmOhOnl1aVWrcyKOGAADwQTffJJUr59bGT7RKTGR6GwAAZC3CbQAA0mnWbGnvPrc2sL+RMUxtAwBwWliY0e193M/GvzZL3yzzqCEAABCwCLcBAEiHo0etPpziTpxdWVeqd7VHDQEA4MNubCJVrOjWxo23io9nehsAAGQdwm0AANJh8lSrqCi3NmggU9sAAKQlNNSoX1/3M/Kff0/duwIAACCrEG4DAHAeu/dYzfrYrd3YRKpWjWAbAICzueH6U/emONOE961iY5neBgAAWYNwGwCA85gw0epkXPI6NPTUXtsAAODsjDG6c4D7ebl3r/TJpx41BAAAAg7hNgAA57B5i9WiJW6t3a1SmTKE2wAAnM/VV0m1r3BrkyZbRUczvQ0AAC4c4TYAAOfw7ntW9ozr79y5pb69CbYBAEgPY4zuGuh+bh4+Is34yKOGAABAQCHcBgDgLH5Za7X8B7fWrYtR4cKE2wAApFfNGkYNr3Vr02ZYHTnC9DYAALgwhNsAAKQhMdFq5Gj3ortwYalrZ48aAgDAjw3sb2TO+G44OlqaPJVwGwAAXBjCbQAA0vDV19Iff7q1vr2N8uRhahsAgIyqXMno5hvd2sdzpH37CLgBAEDmEW4DAJBCbKzVmLHuxXa5clLbNh41BABAAOh3u1FoaPL65Elp4iTCbQAAkHmE2wAApPDxHGn3Hrd2951GYWFMbQMAkFllyhi1aeXWFiyQtm8n4AYAAJlDuA0AwBmOHLGa9KF7kX3F5dJ1DT1qCACAANK3t1FkZPI6IVEaN5FwGwAAZA7hNgAAZ3h/klXUcbd2zyAjY5jaBgDgQhUrZtShvVv74ktp018E3AAAIOMItwEA+H/bt1vN+cSt3XSjdFl1gm0AALJKz25GefO6tffGEW4DAICMI9wGAOD/jXnPKj4+eR0eLt3Zn2AbAICsVKCAUbcu7ufr8h+lX9cRcAMAgIwh3AYAQNK69VbfLHVrHdtLpUoRbgMAkNU6d5QKF3Zr775nZS0BNwAASD/CbQBA0LPWasQo92K6QAGpV0+CbQAAskOePEa9U3zOrv1V+ulnjxoCAAB+iXAbABD0vl4q/fa7W+vb26hAfsJtAACyS9s2UskSbm3sOKvERKa3AQBA+hBuAwCCWlyc1Zix7kV0mdLSbW09aggAgCAREWF0R1/3i+SNm6Svv/GmHwAA4H8ItwEAQW3OXGnnTrd210Cj8HCmtgEAyG7NbpYqlHdrY8dZxcUxvQ0AAM6PcBsAELSOHrWaOMm9eK5ZQ7rheo8aAgAgyISFGQ3s736hvGOnNPdTjxoCAAB+hXAbABC0JrxvdeyYWxt8t5ExTG0DAJBTGjc69eXymd7/wCoqiultAABwboTbAICgtHWb1Zy5bq3JDVLNGgTbAADkJGOM7r7L/fw9clSaPJVwGwAAnBvhNgAg6FhrNXykVUJici0iXLr7ToJtAAC8cHkto8aN3NqMj6x270nwpiEAAOAXCLcBAEFn+Q/SzyvcWtcuUqlShNsAAHjlrgFGoWdcoZ48KY0YecK7hgAAgM8j3AYABJW4OKvho9xfcy5aVOrZnWAbAAAvlS9v1KaNW5v7aaw2bor3piEAAODzCLcBAEHl4znS9u1ubdCdRnnyEG4DAOC1O/oY5c6VvLZWenNYtHcNAQAAn0a4DQAIGocOWU38wJ3arl5danaTRw0BAABHkSJG3bu5Xzh/+12cVq7i5pIAACA1wm0AQNB4b4LV8eNu7b7BRiEhTG0DAOArunSSihZxa6PGJCoxkYAbAAC4CLcBAEFh019W8xe4tWY3STVrEGwDAOBL8uQxuuN29/N5w0bpi688aggAAPgswm0AQMCz1uqdEVaJicm1XLmkuwYSbAMA4ItatZAqlHdrY9+zOnmS6W0AAJCMcBsAEPCWLpPW/OLWenY3Kl6ccBsAAF8UFmY06C73cnX3Hmn2XG/6AQAAvolwGwAQ0GJjrUaOdqe8SpSQunXxqCEAAJAu110rXVk3zKl98KHV0aNMbwMAgFMItwEAAW3mLGnXbrd2951GkZFMbQMA4MuMMXpwaB6nduyY9P4kwm0AAHAK4TYAIGDt32816UP3AvjyWlLTJh41BAAAMuTyy8PVvFmEU/t4jvTPvwTcAACAcBsAEMDefc/qREzy2hjpviFGxjC1DQCAvxh6Xx6FhyevExKk0e8SbgMAAMJtAECA+uNPq0VL3FrLFtKlVQm2AQDwJ+XKhqpTB/fz+9vvpNVrCLgBAAh2hNsAgIBjrdXbw90L3jx5pIH9CLYBAPBHvXsaFSro1kaMskpMJOAGACCYEW4DAALO519K639za316GRUtSrgNAIA/yp/f6I7b3c/xjZukJZ951BAAAPAJhNsAgIBy4oTVmBT7cJYpLXXq4FFDAAAgS9zaWqpYwa29O87qxAmmtwEACFaE2wCAgDJ1utXefW7tnkFGERFMbQMA4M/CwozuGeR+nu/fL02b4VFDAADAc4TbAICAsXuP1dTpbu3KulKj67zpBwAAZK1r6ktXX+XWpk632reP6W0AAIIR4TYAIGCMftcqNjZ5HRIi3TvYyBimtgEACATGGA2+2yjkjCvZmBjpvfGE2wAABCPCbQBAQPh1ndWXX7m1W9tIlSsRbAMAEEgqVzJq3cqtLVoibdhIwA0AQLAh3AYA+L3ERKu3h7sXtPnySf1vJ9gGACAQ9b/dKHfu5LW10ohRVtYScAMAEEwItwEAfm/xEmnDRrd2R1+jQoUItwEACERFihj17ul+zq/5Rfr2O2/6AQAA3iDcBgD4tehoq3ffc6e0KpSX2rfzph8AAJAzOneUSpRwayNGW8XGMr0NAECwINwGAPi1SZOtDhx0a4PvMQoLY2obAIBAFhlpdNdA9/N+505p5iyPGgIAADmOcBsA4Ld27LSa8ZFbu6a+1KA+wTYAAMHgpqZSzRpu7YMPrfbuZXobAIBgQLgNAPBbI0dbxcUlr0NDpSF3E2wDABAsjDG6/14jc8bHf0yMNHos4TYAAMGAcBsA4JdWr7Fa9q1b63CbVKEC4TYAAMGk2qVGrVu5tc+/kNb+SsANAECgI9wGAPid+Hirt0e4F6wFC0h9+xBsAwAQjAb2N8qX1629PdwqIYGAGwCAQEa4DQDwO/MWSJs3u7X+/YwK5CfcBgAgGBUuZNTvDvc8YOMmaf5CjxoCAAA5gnAbAOBXjh61GjfencKqXElq0+osTwAAAEHhtrbSxRXd2tj3rI4eY3obAIBARbgNAPArE963OnLUrd03xCgsjKltAACCWViY0X1D3POBI0elCRMJtwEACFSE2wAAv7Flq9WcuW7thsZS3ToE2wAAQLrqSqMbGru1OXOlzVsIuAEACESE2wAAv2Ct1TsjrBISk2sR4dI9gwi2AQBAsnsGGUVEJK8TEk/dXNJaAm4AAAIN4TYAwC989720cpVb69ZVKlWKcBsAACQrVcqoRze3tnqN9M1Sb/oBAADZh3AbAODzYmOtho9yp60uKib17E6wDQAAUuvRzahECbc2YrRVTAzT2wAABBLCbQCAz5s5S9q5060Nussod27CbQAAkFquXEaDU2xdtmePNGUa4TYAAIGEcBsA4NP277ea9KF7IVqrpnTzjR41BAAA/MIN10t167i1KdOkXbsIuAEACBSE2wAAnzbmPasTMclrY6T7hhgZw9Q2AAA4O2OM7htiFHrGVe/Jk9LI0YTbAAAECsJtAIDP+u13q8VL3FqrFlK1Swm2AQDA+VWuZNSurVv7Zpm0ajUBNwAAgYBwGwDgkxITrYYNdy888+aVBvYn2AYAAOnX73ajggXc2lvvWMXHE3ADAODvCLcBAD5pyefSH3+4tb69jYoUIdwGAADpV6CA0YAUX45v2ybNnuNNPwAAIOsQbgMAfE50tNWYd91pqnLlpI7tPWoIAAD4tTatpKpV3Nr4960OHmR6GwAAf0a4DQDwOZMmWx046NbuvccoPJypbQAAkHGhoUZD73PPI44fl8aMJdwGAMCfEW4DAHzK9u1WMz5ya9fUlxpcQ7ANAAAyr1ZNo1uau7WFi6X1vxFwAwDgrwi3AQA+ZeRoq7i45HVo6KmpbQAAgAs1aKBRnjxu7a23rRISCLgBAPBHhNsAAJ+xeo3Vt9+7tY4dpPLlCbcBAMCFK1rU6I6+7nnFho3S/IUeNQQAAC4I4TYAwCckJFgNH+lOTRUqJN3em2AbAABknY7tpYoV3NrY96yOHmV6GwAAf0O4DQDwCUs+kzb95db632GULx/hNgAAyDphYUb3DXHPL44cld6bQLgNAIC/IdwGAHjuxAmrd8e5F5QXV5Rat/SmHwAAENiuvsrohuvd2iefSps2EXADAOBPCLcBAJ6bOt3qwAG3ds8go7AwprYBAED2GHy3UWRk8joxUXrrHStrCbgBAPAXhNsAAE/t22c1bYZbq3e1dE19gm0AAJB9SpYw6tXDPd/4dZ30+RceNQQAADKMcBsA4Kn3xlvFxCSvQ0KkwYMItgEAQPbr1kUqXdqtjRxtdfw409sAAPgDwm0AgGc2brJatMSttWklVapEuA0AALJfZKTRvYPd844DB6X3JxFuAwDgDwi3AQCesNZqxCirM7e1zJ1b6nc7wTYAAMg5DRtI19R3azNnSX//TcANAICvI9wGAHji++XS6jVurXdPoyJFCLcBAEDOMcboviFG4eHJtYQEadhwbi4JAICvI9wGAOS4+HirkWPci8USJaTOHT1qCAAABLVyZY26dnZrK1ZKy77zph8AAJA+hNsAgBw391Pp33/d2l0DjSIjmdoGAADe6NXD6KJibm34CKuYGKa3AQDwVYTbAIAcdfSY1YT33YvE6tWlm5p61BAAAICkPHmMBt/tftG+e480ZRrhNgAAvopwGwCQoyZ9aHX0qFsbcreRMUxtAwAAbzVtItWp7damTJV27CTgBgDAFxFuAwByzO7dVh/PcWtNbpAur0WwDQAAvGeM0f33GoWecaV8Mk4aMZJwGwAAX0S4DQDIMeMnWsXFJa/DwqS7BhBsAwAA31G5ktFtt7m1b7+XfvyJgBsAAF9DuA0AyBGbt1gt/syttbtVKlOGcBsAAPiWfn2NChVya2+PsIqLI+AGAMCXEG4DAHLEu2Ot7BnXg3nySH16E2wDAADfkz+/0aA73fOUf/+VZs7yqCEAAJAmwm0AQLZb84vV8h/dWveuRoULEW4DAADf1KK5dFl1t/b+B1b79jG9DQCAryDcBgBkK2utRr3rXgQWKSx17uhRQwAAAOkQEmI09D4jc8Z38SdipJFjCLcBAPAVhNsAgGy1dJn0xx9u7fa+RnnyMLUNAAB8W/VqRq1burUvvpTW/krADQCALyDcBgBkm/h4q3fHuRd/ZctIbVp51BAAAEAGDRxglC+fW3vrbauEBAJuAAC8RrgNAMg28xecuvnSmQYOMAoLY2obAAD4h8KFjAbc4Z67/LVZmjffo4YAAEASwm0AQLaIjraa8L470VS9utTkeo8aAgAAyKS2t0qVLnZrY8dbHT3K9DYAAF4i3AYAZIuZs6SDh9zaoIFGxjC1DQAA/EtYmNH997rnMEePSuMmEG4DAOAlwm0AQJY7dNhq6nT3Yu+a+lLdOgTbAADAP9WtY9TkBrc291Ppr80E3AAAeIVwGwCQ5SZ9aBUdnbw2RrpzAME2AADwb/fcZRQZmbxOTJSGvWNlLQE3AABeINwGAGSpHTut5nzi1prdLFW5hHAbAAD4t5IljXp0c89pflkrffWNN/0AABDsCLcBAFlq3ASr+PjkdXi41P92gm0AABAYenSTSpZwayNHW8XEML0NAEBOI9wGAGSZjZusPv/CrbW/TSpVinAbAAAEhshIo8F3u+c2e/dKU6YRbgMAkNMItwEAWWbMWPeiLm9eqXcPgm0AABBYrm8sXVnXrU2ZKu3cRcANAEBOItwGAGSJFSutfl7h1np2NypYkHAbAAAEFmOM7htsFHrGFfXJuFPbkwAAgJxDuA0AuGDWWr37nnsxV7So1KmDRw0BAABks0qVjG67za0tXXbqC38AAJAzCLcBABfs2++kPze4tX63G+XKxdQ2AAAIXHf0NSpU0K29PcIqPp6AGwCAnEC4DQC4IImJVuMmuBdwZctKLW/xqCEAAIAcUiC/0cAB7pf527ZJs+d60g4AAEGHcBsAcEG+/FrastWt9bvdKCyMqW0AABD4WrWQqlZ1axMmWh06xPQ2AADZjXAbAJBp8fFW4ye6F26VLpZubOJRQwAAADksNNTo/iHul/pRx6Wx4wi3AQDIboTbAIBMW/yZtH27W+t/h1FICFPbAAAgeFxey6j5zW5t/kLpzz8JuAEAyE6E2wCATDl50mriB+4FW7VLpUbXedQQAACAhwbdaZQ7V/LaWmnYcKvERAJuAACyC+E2ACBT5i2Q9uxxawP6GRnD1DYAAAg+xYoZ9entnget/0367AuPGgIAIAgQbgMAMiwmxmrSh+4U0hWXS/Wu9qghAAAAH9C5o1S2jFsbPcYqOprpbQAAsgPhNgAgw2bPlQ4cdGtMbQMAgGAXEWF072D3fOjAQen9Dwm3AQDIDoTbAIAMiY62mjrNvUCrd7VU+wqCbQAAgGsbGDW4xq3N/Ej6518CbgAAshrhNgAgQ+Z8Ih0+4tb630GwDQAAcNqQe4zCwpLX8fHS8JGE2wAAZDXCbQBAukVHW02b7l6YXdtAuqw64TYAAMBp5csZde7k1n74UVr+AwE3AABZiXAbAJBus+emntq+ow/BNgAAQEp9exkVLeLW3hlhdfIkATcAAFmFcBsAkC5pTW03vFaqVo1wGwAAIKU8eYwG3eWeJ23fIc2c5VFDAAAEIMJtAEC6fDxHOnLUrd3O1DYAAMBZNbtJqlnDrX0wyWr/fqa3AQDICoTbAIDzio62mjbDvQi7rqFU7VLCbQAAgLMJCTG6f4iROeOU6USMNPpdwm0AALIC4TYA4LxmzZaOMrUNAACQYdWqGbVu6daWfC79uo6AGwCAC0W4DQA4p+PHrabPdC++GjWULq1KuA0AAJAeA/sb5cvr1oYNt0pMJOAGAOBCEG4DAM4pzantvgTbAAAA6VW4sNEdKc6fNm6UFi/xqCEAAAIE4TYA4KzSnNq+TqpahXAbAAAgI9rfJlWs4Nbefc8qOprpbQAAMotwGwBwVh99LB075tbuYK9tAACADAsLMxp8t3sedeCg9OEUwm0AADKLcBsAkKaoKKsZH7kXW40bSVWY2gYAAMiUa+obXVPfrc2YKe3cRcANAEBmEG4DANI0a3bqqe3bmdoGAAC4IEPuNgoNTV6fjJNGjSHcBgAgMwi3AQCpREWl3mv7+sZSlUsItwEAAC5EhQpG7du5tW+WSmt+IeAGACCjCLcBAKnMmi1FRbk1prYBAACyxu19jAoUcGvvjLBKSCDgBgAgIwi3AQCO6Girj2a5F1Y3NJYuqUy4DQAAkBUKFDDqd7t7brXpL2nRYo8aAgDATxFuAwAcn86Xjhx1a316E2wDAABkpbZtpIsrurV3x1kdP870NgAA6UW4DQBIEhtrNW26e0F1bQP22gYAAMhqYWFG9w52z7EOHZI+mEy4DQBAehFuAwCSLFwsHTjo1nr3JNgGAADIDldfZXRtA7f20Sxpxw4CbgAA0oNwGwAgSYqPt5oy1b2QurKuVLMG4TYAAEB2GXy3UVhY8jouTho5hnAbAID0INwGAEiSPvtc2r3HrfXpRbANAACQncqXM+rQ3q0t+1ZavYaAGwCA8yHcBgAoIcHqwxRT27VqSnVqe9MPAABAMOnby6hQQbf29girhAQCbgAAzoVwGwCgb5ZK//7r1nr3NDKGyW0AAIDslj+/Uf873POuzZul+Qs9aggAAD9BuA0AQc5aq0lT3KmgqlWka+p71BAAAEAQat1KqlzJrb033ioqiultAADOhnAbAILc9z+cmgw6E1PbAAAAOSsszOjewe751+HD0vuTCLcBADgbwm0ACGLWWn3woXvBVLGC1LiRRw0BAAAEsSvrGjVq6NZmzZb+3U7ADQBAWgi3ASCIrVwl/fGHW+vVwygkhKltAAAAL9wzyCgsLHkdHy+NHE24DQBAWgi3ASCITZrsXiiVLi3d2NSjZgAAAKCyZY06d3Rr330vrVhJwA0AQEqE2wAQpH5dZ7XmF7fWs7tRWBhT2wAAAF7q08uocGG39s4Iq/h4Am4AAM5EuA0AQSrl1PZFxaRbmnnUDAAAAJLkzWs0oJ87cLB1mzRvgTf9AADgqwi3ASAIbdpk9eNPbq17N6OICKa2AQAAfEGrFtIlld3auPFWR48xvQ0AwGmE2wAQhKZMdy+KChWS2rTyphcAAACkFhpqdO9gd/DgyFHp/Q8ItwEAOI1wGwCCzI6dVl997dY6dTDKlYupbQAAAF9St47R9Y3d2sdzpL//JuAGAEAi3AaAoDN9plViYvI6d27ptnaetQMAAIBzuPsuo/Dw5HVCgjRyNOE2AAAS4TYABJVDh6wWLHRrbdtIBfIztQ0AAOCLypQ26tLJrS3/UfrpZwJuAAAItwEgiHz0sdXJk8nrsDCpSyeCbQAAAF/Wu6dRkcJubfhIq/h4Am4AQHAj3AaAIBEdbTV7rltr3ky66CLCbQAAAF+WJ4/RwAHuOdu2v6VPPvWoIQAAfESY1w0AAHLGJ/OkqKjktTFS9y4E20AwO378uNauXau9e/fqyJEjypMnj4oVK6bKlSurfPnyXreXbidPntSqVav0zz//KDY2VkWLFlWdOnVUunTpTL/m6tWrtWrVKklSqVKl1Lp166xqFwAypeUt0uy50saNybXx71vdfJNUoADndACA4ES4DQBB4ORJqxkfub+2el1DqUIFLoSAYLR27VpNnDhRK1asUEJCQprHVKlSRe3bt9ftt98uY7L+Z8Vff/2lvn37Kj4+3qk/8cQTGQqSZ8yYoXHjxunYsWOpHmvQoIEefPBBlSlTJkO9HT9+XE899ZT2798vSXrzzTcz9PzM2rlzp9q3b+/Ufvzxxxx7rUGDBmnNmjXnPCY8PFzh4eEqUKCAChcurNKlS+viiy9WjRo1dPnllytv3ryZ6leSnn32WS1cmHxjiH79+mnAgAGZfj0g0ISEGN03WLrn3uRzuqNHpQnvW91/L+d0AIDgRLgNAEHgsy+k/89okvToxkUQEGzi4+P1xhtvaM6cOec9dtOmTXrllVf01Vdf6bXXXlPu3LmzrI+EhAS98MILqYLtjHr55Zc1d+7csz7+ww8/qH///ho5cqQqVaqU7tcdPXp0UrDdpEkTXXvttRfUZyCJi4tTXFycoqOjtXv3bv3xxx9Jj0VERKhevXpq3769GjRokC1figDB7orLjZrcYPX1N8m1OXOltrdaXVyRf3MAgODDntsAEOASE62mTnOntmtfIdWswQUQEEzi4+P14IMPpgq2w8LCdMUVV+jmm2/Wddddp5IlSzqPr1ixQrfffruOHDmSZb1MnTrVCUUzY/78+U6wHRERofr16+umm25yJrUPHTqkxx57TLGxsel63T///FOzZ8+WJOXJk0dDhw69oD6DycmTJ/Xdd9/pgQceUN++fbV+/XqvWwIC0t13GkWEJ68TEqURo7ixJAAgODG5DQAB7tvvpX/+dWs9uxNsA8Fm5MiRqbal6Ny5s/r3768CBQo49Z9++kmvvvqqduzYIUnaunWrHnnkEY0aNeqCp3H/+ecfjRs3LmmdJ08eRUdHZ+g14uPjNWbMmKR12bJl9fbbbyeF2omJiRo3bpwmTJggSdq2bZvmz5+vDh06nPN1ExMT9eqrryoxMVGS1L9/fxUvXjxDvQWSIUOGqEmTJk4tMTFRUVFROnbsmPbt26fff/9d69at04YNG5zjNmzYoDvvvFNDhgxR165dc7JtIOCVKmXUtYvVpMnJtZ9+ln740arBNZzjAQCCC+E2AAQwa60mT3UneS6pLNWv51FDADyxdetWzZgxw6nde++96t69e5rH169fX2PHjtXAgQOTAu41a9boiy++0M0335zpPqy1evHFF5OmqJs2bapDhw6dd5/nlH788cekbUMk6X//+58zrR0SEqKBAwdq/fr1+vnnnyUpXeH27Nmz9fvvv0s6ted4ly5dMtRXoClYsOB5b8rZsmVLSaf2UJ8xY4YWLFiQ9OVAQkKChg0bpvj4ePXs2TPb+wWCSc/uRgsWWR04kFwbPtLq6quksDACbgBA8GBbEgAIYGt+kVL+5n+P7oZ9UIEg8+GHHyYFjpJ09dVXnzXYPq1o0aJ64oknnNro0aPPegPK9Pj444/1yy+/SJLy5cunBx54IFOvs3bt2qQ/X3rppapRo0aax50ZZm/cuFEnTpw462seOHAgaRrcGKOHH35YoaGhmeovGF1yySV6/PHHNWzYMBUuXNh5bNSoUUlfMgDIGnnyGN01wD2f++dfafZcb/oBAMArhNsAEMBSTm2XKiU1ud6jZgB4wlqr5cuXO7UePXqk67l169ZVrVq1ktY7d+7U6tWrM9XH7t27NWrUqKT14MGDVaxYsUy91ulpckm67LLLznrcmaF3QkKCdu/efdZj3377bUVFRUmS2rZt6/y9kX716tXTiBEjlCtXrqTa6e1e4uLiPOwMCDzNm0nVq7m1Ce9bHT7M/tsAgOBBuA0AAWrTJqufV7i1rp0Nv6oKBJmtW7fq8OHDSevw8HDVrVs33c9v1KiRs/7qq68y1cfLL7+ctLd27dq11bZt20y9jiQdO3Ys6c8FCxY863GFChU66/POtHLlSn322WeSpMKFC2vQoEGZ7g1S5cqV9eCDDzq17du3a8mSJR51BASmkBCjewe753VRUdL49wm3AQDBg3AbAALU5GnuhU2hQlKrFt70AsA7e/fuddblypVTREREup9ftWpVZ51yCjw95s+fn3Qzy4iICD366KMXtD3Smf3Hx8ef9biUj6X1946Li9Nrr72WtB4yZMg5A3OkT8uWLVW2bFmnNnfuXG+aAQJYrZpGN93o1j75VNqyhYAbABAcCLcBIADt2Gn19TdurWN7o1y5mNoGgs3Ro0eddb58+TL0/AIFCjjrPXv2JG3fkR4HDhzQO++8k7Tu27evKlasmKEeUjpzIvvMLUpS2r59u7NOuRe0dGo/8r///luSVKdOnaQbJOLChISEqFOnTk7tt99+04Ez734HIEvcNdAoMjJ5nZgovTPSyloCbgBA4CPcBoAANG2G1Rn3jlPu3FL727zrB4B3wsLCnHVG9z0+efJkqtrWrVvT/fzXXnstKWCvVKmSevXqlaH3T8ull16a9OdVq1al2aPkTpkXKlRIJUqUcB7fsWOHPvjgA0mn/js9/PDDF9wbktWrV89ZW2u1fv16j7oBAlfJEkbdu7q1lauk73/wph8AAHIS4TYABJiDB60WLnJrt7aRCuRnahsIRim32Ni/f3+Gnr9v375UtdOTzufz5Zdf6ptvvpEkGWP06KOPKjw8PEPvn5YGDRokbWty9OhRTZw4MdUxe/fu1ZQpU5LW1157bapjXnvtNcXGxko6dZPNiy+++IJ7Q7KKFSsqf/78Tm3Tpk0edQMEtu5djS5KcY/eEaOs4uKY3gYABLaw8x8CAPAnH822OnOIMSxM6tKRYBsIVim3ANm3b5/27t2r4sWLp+v5a9asSVU7fvz4eZ935MgRvf7660nrDh066PLLL0/Xe55PuXLldO211+r777+XJE2cOFGHDx9Wq1atlD9/fv3+++969913deTIEUmntsjo3Lmz8xpffvll0j7gpUqV0u23354lvWW1nTt3Zup5Kfda94IxRuXKldPvv/+eVNuzZ4+HHQGBK3duo7sGSs+9mBxmb98ufTxH6tr5HE8EAMDPEW4DQACJjraaM9etNbtZKl6ccBsIVkWLFlWFChWcaetFixapT58+533uiRMn9Pnnn6eqpyfcfuutt3To0CFJ0kUXXaRBgwZloOvze/DBB/Xrr7/q2LFjkqQ5c+Zozpw5aR7brVs3VatWLWl9/PhxDRs2zHmtXLlyZWl/WaV9+/Zet3BBUu7Zfvr/JwBkvZtvOhVm//5Hcu39D6yaN5MKF+JcEAAQmNiWBAACyLwFUsr7vHXvysUMEOyaN2/urCdPnpyuyd533303KTw+U3R09Dmft3z5ci1evDhp/dBDDylv3rzp7DZ9SpUqpeHDh6to0aLnPK5z584aPHiwUxs7dmzSdivXX3+9GjZs6DweExOjyZMnq3///mrWrJkaN26sdu3a6ZlnntHatWuz9O8R6FJuS3J6GxgAWS8kxOi+Ie55X9Rxadx4tiYBAAQuwm0ACBDx8VYzPnIvXho1lCpWINwGgl2nTp2UL1++pPWxY8c0dOjQcwbcU6dO1fTp09N8LCTk7KeQx48f1yuvvJK0btKkiRo3bpyJrs+vWrVqmjlzpu666y5ddtllyp8/vyIiIlSyZEk1b95c7777rh544IGk/bklaePGjZo1a5YkKXfu3HrggQec1/zrr7/UpUsXjRgxQuvXr9fRo0d18uRJ7d69W4sXL9add96pt956S9YSFqVH4pl3N5ac/1sAyHo1LjNqfrNbm7dA+mszP7MAAIGJbUkAIEB89bWUMqfqxtQ2AJ2ann388cf13//+N6m2efNmde3aVbfddpuuvfZaFStWTLGxsdq4caPmzZvnTCiXLFlSu3fvTlqfGZSnNGLEiKR9lfPly6f//Oc/2fA3SpY3b1717dtXffv2Pe+x1lq98sorSkhIkCT1799fJUqUSHp87969uueee5L26s6TJ48aNmyoAgUK6LffftOff/4pSZoxY4YiIyN19913Z/1fKIXT+4Jn1M6dO31iS5OoFL9OFBkZ6VEnQPC4c4DR0m+tYmJOrRMTpXdGWL39Jl8wAQACD+E2AAQAa62mTncncmrWkC6vxQUMgFOaNGmioUOH6u23306apo2OjtaUKVM0ZcqUsz6vV69eioqKcvazTrnVxGmrVq3S3Llzk9aDBw9WsWLFsuYvkAXmzp2r3377TZJ0ySWXqEuXLs7jb7zxRlKwXb58eY0YMcK58eakSZM0atQoSae2drnppptUtWrVHOreP6Xc1qZQoULeNAIEkeLFjXp0k8ZPTD43XL1G+vY7qXEjDxsDACAbsC0JAASAlaukvza7Naa2AaTUpUsXvfXWW6pQocJ5j82TJ48eeughPf7440mT2Keltc91TEyMXnrppaTtOmrXrq22bdtmTeNZ4ODBgxo9erSkU5OLDz/8sMLCkuc8duzYoWXLliWtn3rqKSfYlqTevXurXr16kk5ttzFjxowc6Nx/JSYmOjcylU7tlQ4g+3XrIqX4EaaRo61OnmR7EgBAYGFyGwACQMqp7bJlpeuu9agZAD6tfv36mjp1qpYtW6bly5dr3bp1OnjwoKKjo1W4cGGVLl1ajRs31i233KJixYrJGKMtW7Y4r1GtWrVUr7to0SJt375d0qk9ufv06aNdu3adt5+TJ0866yNHjmjnzp1J61y5cqlIkSKZ+as6hg8frqNHj0qS2rRpo8svv9x5fPny5UnBfOXKlVWzZs00X6ddu3b6+eefk56Ds9u6dauOHz/u1C655BKPugGCS65cRoPulP73XPI54o6d0qzZUveuHjYGAEAWI9wGAD+3aZPVipVurWtno9BQJrcBpC00NFRNmjRRkyZNznvsrl27nP22L7roolQTzZIUGxub9OfExEQNHTo0U70NHz5cw4cPT1o3btxYr776aqZe67TVq1dr0aJFkk5ti3HPPfekOmbDhg1Jf77sssvO+lo1atRI+vOhQ4e0Z88eZ99uJDv9JcBpISEhqlWrlkfdAMHnpqbS7DnSuvXJtfcnWd3STCpShPNEAEBgYFsSAPBz02a4U9uFCkktmnvTC4DA88MPPzjrunXretRJ5sTFxTnh+ODBg1WwYMFUxx06dCjpz+eaFE/52JnPQ7LExER9/PHHTq1mzZoqXLiwRx0BwccYo3sHuyF2dLT03ni2JgEABA7CbQDwY7v3WH35lVvr2N4oMpJpHABZY9asWc761ltv9aiTzJkyZYq2bdsm6dQ+4K1atUrzuJTbo5zN6a1LMvq8YLNw4cKkbWpOa9eunTfNAEGsejWTauhh/kJp4yYCbgBAYGBbEgDwYx/NskpITF7nyiXd5jv3bwPg53755RetWrUqaV2hQgVdeeWVaR7btWtXde2a8Y1cBw0apDVr1iStn3jiCbVu3TrjzaZh586dmjhxoiQpLCxMDz/8sIxJ+8u/fPnyJf15//79Z33NlI/lz58/CzoNLJs3b9brr7/u1MqXL69mzZp51BEQ3O4cYPTNUqsTMafW1krvjLAaPkxn/ZkIAIC/YHIbAPzUsWNWn853a61aSAULcpEC4MLFxMTolVdecWp33nmnR91kzhtvvJG0F3i3bt1UqVKlsx5bpkyZpD+vW7furMetX5+8eW1oaKhKliyZBZ0GjhUrVmjIkCGKiYlJqoWEhOjhhx9WWBhzNYAXihUz6tnDPT/8Za20dJlHDQEAkIUItwHAT30yTzpxInkdEiJ17kSwDSBt8fHx6T42OjpaDzzwgLZs2ZJUa9KkiZo2bZodrWWLr7/+Wt9//70kqWTJkurXr985j7/iiiuS/vzPP/9o5cqVaR43e/bspD9XrVpVuXPnzoJu/d/mzZv10ksv6b777tPBgwedx+655x5dddVVHnUGQJK6dpZKprj37cjRVrGxbE8CAPBvjE8AgB86edLqo4/di5HrG0tlShNuA0jb3Llz9fXXX6tFixZq2LBhmjf2i46O1tdff60xY8Zo3759SfUyZcro4Ycfzsl2L0h0dLTeeuutpPV//vMf5cqV65zPadCggYoWLaoDBw5Ikp577jm98847qlChgqRTN0gcPXq0fvnll6TnnG3/7kBx5MgR7dy506klJiYqKipKx48f1969e/X7779r3bp1+vPPP1M9PzQ0VPfdd586d+6cUy0DOIvISKO7B0lPPZN8/rhrtzRzltSrh4eNAQBwgQi3AcAPff6l9P/5S5LuXQm2AZydtVarVq3SqlWrZIxR6dKlVb58eeXPn1+xsbE6cOCANmzYoLi4OOd5ZcuW1YQJE1SwYMFUN1P0VePGjdPevXslSddff70aNWp03ueEhYVp4MCBeumllyRJe/bsUY8ePVSnTh0VLFhQf/zxh3bs2JF0fIUKFbJsb3BfNXz4cA0fPjxTz61evboefPBB1ahRI4u7ApBZTa6XrrhcWvtrcm3SZKsWt0jFinIeCQDwT4TbAOBnEhOtps1wA6baV0jVq3FRAiB9rLXasWOHE9ampVGjRnr11VdVpEgRHT58OGeau0CbNm3SjBkzJEm5c+fW0KFD0/3ctm3bav369Zo3b56kU1u5rFixItVxhQoV0vPPP3/eafBgExERoXr16ql9+/Zq0KABN6oDfIwxRvcOlvrfaXX6u8oTJ6Sx46wee4R/rwAA/0S4DQB+5sefpG3b3BpT2wDO54orrtCNN96oFStW6OjRo2c9LjQ0VPXq1VO3bt1Uv359FSpUKOeavEDWWr366qtKSEiQJPXr1y/DN3x87LHHVLlyZY0fP17Hjh1L9Xi9evX00EMPqVy5clnSs78JDQ1VRESE8ufPryJFiqhMmTKqWLGiatasqcsvv1x58+b1ukUA53BpVaOWLawWLEyuLVostW9nVe1SzicBAP7H2Cz+/dJDhw5l5ct5yhiTdEF3+PBhv/lVXACBI62fQ4PvS9Qva5OPqVhRmjTBKCSECxIA52et1T///KOtW7dq7969On78uIwxypcvn8qXL68aNWokBZT+di60e/fupKnr8PBw9ezZU2FhmZvliI2N1apVq/Tvv/8qNjZWhQsXVu3atYM21Aa84G8/g/zFgQNWXXta58bkl9eSRr5j+I0LIAV+DgFZL617/1wIJrcBwI/88ad1gm1J6taFYBtA+hljVKFChaQbJQaSkiVLasCAAVnyWpGRkbr22muz5LUAwJcULWrUu6f07nvJId2v66SvvpFubOJdXwAAZEaI1w0AANJv6nR3UqBoUenmGz1qBgAAAH6pc0epVCm3NmqMVWwsU6kAAP9CuA0AfmLHTquly9xapw5GERFMbQMAACD9IiONBg9yzyH37JGmz/SoIQAAMolwGwD8xPSZVomJyevcuaW2bbzrBwAAAP6rcSOp9hVubfIUq/37md4GAPgPwm0A8AOHDiVqwUL3QuPWNlL+/ExtAwAAIOOMMbpvsNGZ95A8ESONfpdwGwDgPwi3AcAPTJsRo9jY5HVoqNS5I8E2AAAAMq9KFaPWrdzaks+lX9YScAMA/APhNgD4uJgYq2nTY5zaTU2lEsUJtwEAAHBhBvYzypfXrb3xllV8PAE3AMD3EW4DgI/7dF6sDh5yLy66diHYBgAAwIUrXNhoQD/33HLrNmnWbG/6AQAgIwi3AcCHJSRYvT/phFOrd7VU5RLCbQAAAGSNtrdKVS5xa+MnWu3bx/Q2AMC3EW4DgA/77nvp738SnVo3prYBAACQhcLCjP4z1D3HPHFCGjGKcBsA4NsItwHAR1lrNWWaG2xXuUS66kqPGgIAAEDAqlnDqHVLt/bl19LKVQTcAADfRbgNAD7q13XSb7+7tW5djIxhchsAAABZ766BRvnzu7W33raKiyPgBgD4JsJtAPBRU6a6FxElSkhNm3jUDAAAAAJeoUJGdw5wByn+/keaPtOjhgAAOA/CbQDwQVu2WC3/0a1162wUFsbUNgAAALJPm1ZS9Wpu7YMPrXbvYXobAOB7CLcBwAdNme5ePBQqZNS6FcE2AAAAsldoqNF/7jc6cye8mBhp+EjCbQCA7yHcBgAfs3uP1RdfurXuXXMpd27CbQAAAGS/atWM2rZxa0uXST/+RMANAPAthNsA4GNmfmSVkJC8zpXrVLgNAAAA5JSB/Y0KFXRrb71tFRtLwA0A8B2E2wDgQ44etZo33621b5dLhQvz4xoAAAA5p0ABo0F3ub85uGOnNG2GRw0BAJAG0hIA8CGz50onYpLXoaFS395MbQMAACDntWgu1azh1iZNttq5i+ltAIBvINwGAB8RE2M162P3QqFpE6MyZUI96ggAAADBLCTk1M0lQ85IDk6elN4eTrgNAPANhNsA4CMWLJIOH3FrPbpxE0kAAAB4p0oVo/a3ubXvl0vfLSfgBgB4j3AbAHxAfLzV9JnuBUL9elKVSwi3AQAA4K3+txsVKezWhr1tdeIEATcAwFuE2wDgA75ZKu3a5daY2gYAAIAvyJfP6J5B7rnp7j3S+ImE2wAAbxFuA4DHrLWaMs29MKheTapT25t+AAAAgJSa3SzVrePWZs6SNmwk4AYAeIdwGwA8tmKltOkvt9ajm5ExTG4DAADANxhj9OADRhHhybXEROmV163i4wm4AQDeINwGAI+lnNouW1ZqdJ1HzQAAAABnUb6cUZ/e7gDGxo3SrNkeNQQACHqE2wDgoT//tFq12q1162IUGsrUNgAAAHxP967SxRXd2rgJVrt2Mb0NAMh5hNsA4KEPp7oXAUUKS7c086gZAAAA4DzCw40eftAdxIiJkd4YZmUtATcAIGcRbgOAR7Zus1q6zK116mgUGcnUNgAAAHxXrZpG7dq6tR9/kr762pt+AADBi3AbADyScq/tfHml9u286QUAAADIiLsGGBUt6taGDbc6eozpbQBAziHcBgAP7Nxl9fnnbq1DeylvXqa2AQAA4Pvy5TMaeq977nrokDR6DOE2ACDnEG4DgAemTrdKSExe58oldepAsA0AAAD/cX1j6bqGbm3eAmnNLwTcAICcQbgNADls/wGrhQvdWts2UqFChNsAAADwH8YYDb3PKHdut/7aG1axsQTcAIDsR7gNADls5kdWJ+OS12FhUtfOBNsAAADwPyWKG905wD2X/edf6f0PCbcBANmPcBsActDRo1ZzPnFrLW6RLrqIcBsAAAD+6ba2UvXqbm3qVOnPDQTcAIDsRbgNADlo1mzpxInkdUiI1KMrwTYAAAD8V2io0SMPGoWGJtcSEqWXXrGKiyPgBgBkH8JtAMgh0dFWH33sntzf2FQqW5ZwGwAAAP7tkspGfXq557Wbt0iTJhNuAwCyD+E2AOSQT+ZJx465tZ7dCbYBAAAQGHr1kCpXdmuTJkub/iLgBgBkD8JtAMgBsbFW02e4J/XXNZQqVyLcBgAAQGAIDzd67BGj0DOShoSEU9uTxMcTcAMAsh7hNgDkgEWLpQMH3RpT2wAAAAg0l1Y16tHdrW3cJE2Z5k0/AIDARrgNANksPt5qyjR3UuXKulLNGoTbAAAACDx9extdXNGtTfzAassWprcBAFmLcBsAstmXX0m7dru13j0JtgEAABCYIiKMHnvUKOSMxCE+XnqR7UkAAFmMcBsAslFiotWHU90T+MuqS3XreNQQAAAAkAOqVzPq2sWt/blBmj7Tm34AAIGJcBsAstHXS6Vt29xa755GxjC5DQAAgMDWr69R+XJubcJEq7//ZnobAJA1CLcBIJskJlp9MMk9ca9cSbq2gUcNAQAAADkoMvLU9iRnznWcjGN7EgBA1iHcBoBssuxbactWt9a3t1FICFPbAAAACA41axh17uTWfvtdmjrdm34AAIGFcBsAskFiotXEFFPbF1eUrm/sTT8AAACAVwbcYVS2rFsbP9Fq4yamtwEAF4ZwGwCywXffS5s3uzWmtgEAABCMcuUyeuK/RiFnJBAJCdKzL1jFxhJwAwAyj3AbALKYtVbvp5jarlhBuuF6jxoCAAAAPFazhlGP7m5t2zZp7HjCbQBA5hFuA0AW+365tHGTW+vT2yg0lKltAAAABK87+hhVreLWZn4krV5DwA0AyBzCbQDIQtZaTfjAPTmvUF5qeoM3/QAAAAC+Ijzc6InHjCLCk2vWSi+8bBUVRcANAMg4wm0AyEI//Cht3OjW+vRiahsAAACQpEoXGw0c4J4b79kjvT2ccBsAkHGE2wCQRay1mphiartcOenGph41BAAAAPigzh2lOrXd2qIl0tJlBNwAgIwh3AaALPL9cumPP91a755MbQMAAABnCgkxevxRo7x53fqrr1sdOEDADQBIP8JtAMgCiYlW701wT8TLlpFuvtGjhgAAAAAfVrKk0f1D3CGQI0elV16zspaAGwCQPoTbAJAFvv5G2rzZrd3R1ygsjKltAAAAIC23NJcaN3Jry3+UPpnnTT8AAP9DuA0AFyg+3mrcRHe65OKK7LUNAAAAnIsxRg/9x6hIYbc+fKTV1m1MbwMAzo9wGwAu0GefS//+69b692OvbQAAAOB8ChcyeuQh97w5NlZ65jmr2FgCbgDAuRFuA8AFiIuzmviBe9J9aVWp8XUeNQQAAAD4mYbXGt3Wzq1t3iyNfpdwGwBwboTbAHAB5i2Qdu12awP6GRnD1DYAAACQXoMHGVW62K3Nmi19t5yAGwBwdoTbAJBJsbFWH3zonmzXqinVr+dRQwAAAICfiow0euYpo4gIt/7Sy1b79xNwAwDSRrgNAJk0e6504IBbG9ifqW0AAAAgMypdbHTvPe659JGj0rMvWCUkEHADAFIj3AaATDh+3GrKVPcE+6orpTq1CbYBAACAzGp7q9S4kVtbvUaaOt2bfgAAvo1wGwAyYco0q8NH3NqAfgTbAAAAwIUwxujRh4yKX+TWx423Wv8b09sAABfhNgBk0L59VjM+cmvXNZRqXEa4DQAAAFyoAgWMnnrCKOSMxCIhUfrf81ZRUQTcAIBkhNsAkEHjJlrFxiavQ0OkQQMJtgEAAICsUvsKoz693NquXdLrb1lZS8ANADiFcBsAMmDzFqtFi91a61ZShQqE2wAAAEBW6tPLqFZNt/bFl9L8Bd70AwDwPYTbAJABY8ZaJSYmr3Pnku7oS7ANAAAAZLWwMKOnnzDKl8+tv/W21aa/mN4GABBuA0C6rVpt9cOPbq1bV6OiRQm3AQAAgOxQsqTRfx92z7dPxklPPmN1/DgBNwAEO8JtAEiHxESrkWPck+cihaWunT1qCAAAAAgS1zc26tjBrW3fLr3yOvtvA0CwI9wGgHT44itp40a3dsftRnnyMLUNAAAAZLd77jKqXs2tffW1NOcTb/oBAPgGwm0AOI/YWKux77kTIRXKS61betQQAAAAEGTCw42efTr1/tvDR1r9uYHpbQAIVoTbAHAeM2dJu/e4tUF3GoWFMbUNAAAA5JRSpYye+K97Dh73//tvHztGwA0AwYhwGwDO4cABq0mT3RPlKy6XGl7rUUMAAABAELuuoVG3Lm5t1y7ppVfZfxsAghHhNgCcw9jxVidOJK+NkYbcY2QMU9sAAACAF+4cYFSrpltb9q300Sxv+gEAeIdwGwDOYsNGq4WL3FqLW6RqlxJsAwAAAF4JCzN65imjggXc+sgxVut/Y3obAIIJ4TYApMFaq+Ejrc78zcbcuaWB/Qm2AQAAAK+VKG70xOPuuXlCgvTUM1aHDhFwA0CwINwGgDR8s1T6Za1b693TqFhRwm0AAADAFzSob9Srh1vbu+/UDSbj4wm4ASAYEG4DQAqxsVajxrgnwyVLSJ07etQQAAAAgDT1u92oTm239staaeRowm0ACAaE2wCQwsxZ0q7dbu3uQUaRkUxtAwAAAL4kLMzo2aeNil/k1j/6WFryGQE3AAQ6wm0AOMP+/VaTJrsnwVdcLjW53qOGAAAAAJxT4cJGLzxnFBHu1l953WrjJgJuAAhkhNsAcIZ3RlqdOJG8Nka6d7CRMUxtAwAAAL6qejWj/zzgnrOfPCk99oTV4cME3AAQqAi3AeD//bzC6quv3VrLFtKlVQm2AQAAAF/XqoXRbe3c2u490jPPcYNJAAhUhNsAoFM3kXxzmHvCW6CANGggwTYAAADgL+69x6hWTbe2cpU0djzhNgAEIsJtAJA0ZZq0fYdbGzTQqFAhwm0AAADAX4SHGz3/P6OiRd361GnSl18TcANAoCHcBhD0tm+3mjzFPdGtWUNq1dKjhgAAAABkWtGiRi88axQW5tZfesVq018E3AAQSAi3AQQ1a63efNvqZFxyLTRE+s9Qo5AQprYBAAAAf1SzhtH997rn8zEx0qOPWx08SMANAIGCcBtAUPvqG+nnFW6tYwepyiUE2wAAAIA/a9tGatPKre3ZIz3+lNXJkwTcABAICLcBBK2oKKt3RrgntRcVk/rdTrANAAAA+DtjjIbel/oGk+vWS6++YWUtATcA+DvCbQBBa8QoqwMH3Nq9g43y5CHcBgAAAAJBRITRi88ZlSzh1hcvOXVTeQCAfyPcBhCUfvrZav5Ct1a/nnTD9d70AwAAACB7FC5s9PKLRrlzufV337P67numtwHAnxFuAwg6UVFWr7zmnsTmzi099ICRMUxtAwAAAIHmkspGTz9pdObpvrXS/56z+mszATcA+CvCbQBBZ8Qoq7373No9g4xKliTYBgAAAALVdQ2N7hzgnvOfiJEeeczq0CECbgDwR4TbAIJKWtuRXHXlqTupAwAAAAhsPbpJtzR3a3v2SI89aXXyJAE3APgbwm0AQeNs25E8+hDbkQAAAADBwBijhx4wqlnDra9bL736hpW1BNwA4E8ItwEEDbYjAQAAABAZafTic0YlSrj1xUukqdO96QkAkDmE2wCCwvIf2I4EAAAAwClFihi9/IJR7lxufcxYq+++Z3obAPwF4TaAgLf/gNWLL7MdCQAAAIBkVS4xevJx93rAWul/z1tt+ouAGwD8AeE2gICWmGj1wktWh4+49cF3sx0JAAAAEOwaNzK6c4B7XXDihPTwo1Z79xJwA4CvI9wGENBmfCStWOnWGl0n3dram34AAAAA+Jae3aXmzdzavv3SQ/+1On6cgBsAfBnhNoCA9ecGq3ffc09GixVjOxIAAAAAyYwxevg/RrVquvXNm6Unn7GKjyfgBgBfRbgNICBFR1s985xVfHxyzRjpqceNChYk2AYAAACQLDLy1A0my5Z16z+vkN54y8paAm4A8EWE2wAC0jsjrLZvd2s9u0t16xBsAwAAAEitYEGjN14xKlTQrc9bIH04xZueAADnRrgNIOB89oXV/IVurXo1qd/tBNsAAAAAzq5MGaOXXzSKiHDrY8dZffYF09sA4GsItwEElC1brF593T3pzJ1bevoJo7Awwm0AAAAA51azhtHTTxilvE3PS69YrfmFgBsAfAnhNoCAERVl9dhTVjExbv2B+43KliXYBgAAAJA+1zc2Gny3ew0RFyc99qTV338TcAOAryDcBhAQrLV68ZXU+2y3aS21aE6wDQAAACBjOneUOtzm1o4dkx58xOrAAQJuAPAFhNsAAsK0GdKyb93apVWl+4cQbAMAAADIOGOM7h1sdF1Dt75rt/TQf62iowm4AcBrhNsA/N7qNVZjxronlgUKSC88axQZSbgNAAAAIHNCQ0/tv129mlvfuFF68hmr+HgCbgDwEuE2AL+2d6/V089aJSYm14w5dQPJkiUJtgEAAABcmNy5jV550ahUKbf+08/Sa29aWUvADQBeIdwG4Leio60eeczq0CG3fkdfo/r1CLYBAAAAZI0iRYzeeNWoYAG3vmChNPEDb3oCABBuA/BTiYlWz71gtekvt97gGqlPL296AgAAABC4ypczeuUlo4gItz7hfav5C5neBgAvEG4D8Etj3rP69nu3Vras9ORjRiEhTG0DAAAAyHo1axg986RRSIo05bXXrX78iYAbAHIa4TYAv7NgkdXUaW4tf37p1ZeMChQg2AYAAACQfRo3MrpviHvdkZAoPfm01Z8bCLgBICcRbgPwK2t+sXrtDfeEMTRUeuFZo/LlCLYBAAAAZL8Otxn16ObWTsRIDz9qtXMXATcA5BTCbQB+459/rR5/yio+3q0/ONSobh2CbQAAAAA5584BRs1ucmsHD0kPPGh18CABNwDkBMJtAH5h3z6roQ9aHT3q1rt1kdq0JtgGAAAAkLNCQoz++4jRlXXd+vYd0oOPWEVFEXADQHYj3Abg844etRr6kNWePW79uobSXQMJtgEAAAB4Izzc6IVnjSpXdusbN0mPPm4VG0vADQDZiXAbgE87ccLqoUettm1z69UulZ563Cg0lHAbAAAAgHfy5TN641WjUqXc+i9rpWees4qPJ+AGgOxCuA3AZ8XFWT3xtNVvv7v18uWk114xypOHYBsAAACA94oVNXrrNaMihd36t99Jr79pZS0BNwBkB8JtAD4pMdHqxVesfvrZrV9UTHrzdaPChQi2AQAAAPiOsmVPTXDnzevW5y+Uxowl3AaA7EC4DcDnJCZavfam1edfuPUCBU4F2yVLEGwDAAAA8D1Vqhi9/IJRRLhbnzJNmjqdgBsAshrhNgCfcjrYnjffrefKJb36ktHFFQm2AQAAAPiuOrWNnn3GKDRF4jJqjNXCRQTcAJCVCLcB+IyzBduhodLz/zOqWYNgGwAAAIDvu66h0SMPpb5+eeU1q+++J+AGgKxCuA3AJyQmWr3+VtrB9nPPGF1Tn2AbAAAAgP9o2cLo7rvc65iEROmpZ6x+WUvADQBZgXAbgOdOB9ufznPrp4Ptxo0ItgEAAAD4n+5djbp3c2sn46RHHrPatImAGwAuFOE2AE/Fx1u9/BrBNgAAAIDANGigUauWbu34cWnoQ1b//EvADQAXgnAbgGdOnrR65lmrhYvcOsE2AAAAgEBhjNFDDxg1us6tHz4s3f8fq917CLgBILMItwF44sQJq0cft/pmmVsn2AYAAAAQaMLCjJ550qhObbe+d6809EGrgwcJuAEgMwi3AeS4qCirBx6y+nmFW48Il158jmAbAAAAQOCJjDR6+QWjape69X//lR54yOrYMQJuAMgowm0AOerQIat7h1qtW+/Wc+eWXn/VqOG1BNsAAAAAAlPevEavv2JUsaJb/2uz9PB/rU6cIOAGgIwg3AaQY/7dbnXnPVYbN7n1/Pmlt980qluHYBsAAABAYCtUyOit14xKlXLr69ZL/33CKjaWgBsA0otwG0COWP+b1V13W+3c6daLFpFGvm10WXWCbQAAAADB4aKLjIa9YVS0qFtfuUp68mmruDgCbgBID8JtANlu6bentiI5ctStlywhjXzHqFIlgm0AAAAAwaVM6VMT3AUKuPXlP0pPP2sVH0/ADQDnQ7gNIFvNmm31xFNWJ0+69apVpTGjjMqWJdgGAAAAEJwqVTJ681WjvHnd+rJvpedeIOAGgPMh3AaQLeLjrYYNT9Swd6xsivOxa+pLI4YZFStKsA0AAAAguFWrZvTGq0a5c7v1L7+WXnrVKjGRgBsAzoZwG0CWO3rM6qFHrWZ9nPqxNq2kl18wypOHYBsAAAAAJKlmDaPXXjaKjHTrSz6TXn2dgBsAzoZwG0CW+vtvq4F3Wa1Ymfqx/ncYPfygUVgYwTYAAAAAnKn2FUYvv2AUEe7W5y+UXnuDgBsA0kK4DSDL/PCT1cC7rbbvcOsR4dKTjxn17W1kDME2AAAAAKTl6quMXnjeKDxFwD1vAQE3AKSFcBvABbPWaso0q0f+a3X8uPtY0SLS8LeNmjcj1AYAAACA82lQ3+i5Z4zCwtz6vAXSa28ScAPAmQi3AVyQ6Girp5+1Gv2uVWKi+9ilVaX3xhjVuIxgGwAAAADS67qGZwm45xNwA8CZCLcBZNr27VZ33WP11depH7uxiTTyHaPixQm2AQAAACCjGl139oD79bcIuAFAItwGkEk//GjV/y6rLVvdujHSgH5GzzxllCsXwTYAAAAAZNbpgDs01K1/Oo+AGwAkwm0AGZSQYDXhfauH/2sVFeU+li+f9OpLRn16ceNIAAAAAMgKja4zev5/aQfcbxBwAwhyhNsA0u3AAasHHjoVbtsU50+VLpbGjTFqcA2hNgAAAABkpbNNcH8yT3r5Vav4eAJuAMGJcBtAuqxcZXV7f6tVq1M/1rSJNGakUdmyBNsAAAAAkB0aN0o74F64WHrmOau4OAJuAMGHcBvAOSUkWI2fmKihD1odPOQ+Fhoi3X2X0f+eMsqTh2AbAAAAALJT40ZGz6YRcH+zVHr0cauYGAJuAMGFcBvAWR04YDX0QauJHyjVNiTFL5KGv23UvSv7awMAAABATrm+kdGLzxlFhLv1n36W/vOwVVQUATeA4EG4DSBNp7chWb0m9WMNrpEmvGd0eS1CbQAAAADIaQ2vNXr9VaPcud362l+l+x6wOnyYgBtAcCDcBuBIzzYkr7xoVKgQwTYAAAAAeKVuHaNhbxjlz+/WN2yUBt9vtW8fATeAwEe4DSDJ/nRuQxISQrANAAAAAF6rcZnR8GFGRQq79W3bpLvvtdqxk4AbQGAj3AYgSfrue6u+d5x9G5KJ49iGBAAAAAB8zSWVjUYONypRwq3v2iXdPcRq018E3AACV5jXDQDInJ07d2rjxo3av3+/oqOjVaxYMZUsWVKXX365wsLS/0/7xAmrEaOsPpmX+rHQEOnOgUZdOytd09pHjhzR33//rT179ujgwYOKiYmRJOXNm1dFihTRpZdeqjJlyqS7t3PZu3evtmzZol27dunYsWOSpAIFCuiiiy7SZZddpsKFC5/nFQAAAADAfxw7dkzr1q3T3r17deTIERUsWFDFixdXrVq1VK5sfo18Rxr6oNW//yY/58ABafB9Vi89f2obk6wWExOjv//+W7t379a+ffsUHR2t+Ph45c2bVwULFlTlypV18cUXZ+gaFQAygp8ugJ/56quvNG3aNK1bty7NxwsUKKCbbrpJAwcOVKFChc75Wn9usPrf8+7Jz2nFL5L+97RRrZpnPwGKjo7WrFmztG7dOv3xxx/av3//efsvXry4WrRooc6dO6to0aLnPf60qKgoffvtt/rxxx+1evVq7du375zHV6lSRe3bt1fLli0VGRmZ7vcBAAAAAF+yYcMGTZgwQcuXL1dcXFyqxyMiItSgQQP169dPI9+uogcesvprc/Ljx49L/3nY6onHpBubXHjAPX/+fK1cuVK//fabduzYocTExHMenydPHt14443q1KmTqlatmq732Llzp9q3b3/BvZ72xBNPqHXr1ln2egB8h7E25c66F+bQoUPnP8hPGGOSwsHDhw8ri/9TARkSHR2tl156SZ9//nm6ji9SpIieeuopXXPNNakeS0iwmjpdGjfBKiEh9XMbN5IeedCoYMFzn/j8+++/6tSpU7r6SSlfvny6//7703WC8dFHH+mdd95J80TufCpWrKinn35a1atXz0ybnuPnEAAv8TMIgJf4GQRIkyZN0tixYxUfH3/eY8PDwzVw4EC1bddT/33cau2v7uPGSPcONurU4cIC7jZt2px32CgtoaGh6tSpkwYPHnzeSe6sDrefe+453XzzzRl+Hj+HgKyX1b9pz+Q24AcSEhL0xBNPaPny5U69cOHCqlq1qvLly6ft27dr48aNSR+2Bw8e1MMPP6x33nlHtWvXTnrO7j1Wz79o9cva1O+TK5d032Cj1q1OfYhnRoECBVSuXDkVLVpUuXPnVlxcnA4cOKBNmzYpOjo66bioqCg9//zzOnLkiHr06HHO19y1a1eawXbevHlVuXJlFS5cWBEREdq/f79+//13xcbGJh2zbds2DRo0SMOGDXP+OwAAAACAL3v//fc1ZswYpxYZGanLLrtMRYsW1f79+/XHH38kXf/ExcVp5MiRMsbozdd66NkXrJYuS36utdLbw6327be6a4BJ19aT6ZErVy6VKVNGJUuWVN68eZWYmKijR49q8+bNOnDgQNJxCQkJmj59unbt2qUXX3xRoaGhWfL+6env2muvzZH3ApDzCLcBPzBq1Cgn2A4LC9N9992ndu3aKTw8PKm+detWvfjii0lblpw8eVKPPPKIpkyZoqJFi+qzz6W33raKOp76PapXk556wqhc2Yyd4BQuXFgNGzZUvXr1VKtWLZUqVSrN4+Lj47Vs2TKNGjVK27dvT6qPHDlSV1xxhWrWrJmu9zu9rUmTJk1UpUqVVCdEJ06c0OzZszV27Nikk7yYmBg9/PDDmjFjBntxAwAAAPB53333nd59912n1q5dO911113O9pOHDh3S6NGj9emnnybVRo4cqcqVK+vZp6/RsOFWc+a6rz11mrRzp9WTj0mRkRkPuHPnzq1GjRqpQYMGqlWrlipXrqyQkJA0j12/fr3GjBmjlStXJtWWLl2qadOmqWfPnmd9j+LFi2v27NkZ7k2SnnnmGf36a/LYetOmTZU3b95MvRYA38e2JOfAr5/AF+zYsUNdunRxfg3t1VdfVePGjdM8PiYmRkOGDHH25G7Zsp1i4x92vrU/LSRE6tlduqOvUVhYxk5sEhISZIw564lMWo4ePapBgwZp8+bkTeCuueYaDRs27KzPeeedd/TTTz+pX79+uuGGG9L1fr/99puGDBniTIvfdttteuSRR9Ldqy/g5xAAL/EzCICX+BmEYJWQkKDu3bvr77//Tqp17dpV999//1mfM2zYME2fPj1pffHFF2vy5MkKCQnRpMnSe+NT//upXl165QWjIkUydh0YHx+foRtEJiYm6tlnn9XixYuTavny5dPChQsVERGRofc+n7179+q2225Twhn7b44ZMybTv8XLzyEg62X10GH6EykAnhg/frwTbLdq1eqswbZ06leunnzySWeie+HCefrmmx2pji1ZQho+zGhg/5AMB9vSqT3TMhJsS6e2LRk6dKhTW7FihY4fT2Oc/P917txZkydPVtOmTdP9fjVq1NCgQYOc2hdffJGuveoAAAAAwCuLFi1ygu0KFSro7rvvPudz7r77blWoUCFpvXXrVi1ZskTGGPXpZfTfR4xCU1xK/fGHNHCQ1ZatGQtsMxJsS1JISIgeeugh5c6dO6kWFRWlVatWZeh10mPBggVOsF2uXDm2pwQCHOE24MNiYmL01VdfObVevXqd93nly5fXtdeeGYAnyCZ+5hzT7Cbp/fFGV1yeNfusZUTdunUVGRmZtE5ISNDu3bvPenzJkiUztQd4mzZtnPc5duyYNmzYkOHXAQAAAICcsnDhQmfdtWvX8044R0REqHPnzmd9nVYtjF5/1Shfit05du+RBg22+nlF9k4k582bV1dccYVTO3O7yqxgrdWCBQucWps2bbL0PQD4HsJtwIf99NNPiomJSVrXqlVLFStWPO/zVq22Wv9HK6eWmLBUklSwgPTcM0ZPPRGifPlyPtiWTn1znz9/fqd25vYhWSVXrlwqX768U9u/f3+Wvw8AAAAAZIUjR45o7dq1Sevw8HA1a9YsXc+95ZZbnKnqNWvW6MiRI0nrq68yGj3SqFRJ93nHj0sPPWI199PsDbgLFCjgrLP6GnD16tVOYB4aGqpWrVqd4xkAAgHhNuDDfvzxR2ddt27dcx4fE2M1bHii7nvA6vCRKySdcbNFu1FXX3VQkyYaNbnBm1D7tJiYmFT78xcrVixb3ivlDSfj4uKy5X0AAAAA4EL9/PPPzrYa1apVS/fNEPPmzatLL700aZ2QkKCff/7ZOebiikZjRxvVuMx9bkKi9PqbViNGJSohIXtC7l27djnrrL4GnDdvnrNu2LChihYtmqXvAcD3EG4DPuzMmy5KUs2aNc967O9/WN0xwGrWx6fWxuSWTGXnmO5dtqpoUW+DbUn67LPPnBO20qVLq1SpUln+PtZa7dy506llV4gOAAAAABcqI9eAaalVq5az3rp1a6pjChc2eucto6ZNUj9/+kzp0cetjh3L2oD7n3/+0e+//560NsaoTp06Wfb6UVFR+vrrr50aW5IAwYFwG/Bh27Ztc9Zly5ZNdUxcnNV74xM16B6rf/51HzOmzDlfzwtr167V8OHDnVr37t2z5b1WrFiho0ePJq3Dw8NVpUqVbHkvAAAAALhQKcPotK4BzyXl8WmF25IUGWn0zJNGvXqmfuyHH6UBd1lt2ZI1Aff+/fv12GOPOQNOTZs2VenSpbPk9aVTA1SxsbFJ62LFiqlBgwZZ9voAfFfGbnELIMccOXLECWalUzdWPNOWLVbPv2S1cVPq50dESNVrlNSZN6D+999/Ux+YzU6ePKnDhw9rw4YN+uKLL/T5558rMTEx6fHrrrtOHTp0yJb3nj59urO+6qqr0v0rfQAAAACQ01LeZDHlNeD5lChRwlmf6xowJMTozv5G5cpYvfqGVXz8GX3skO682+q/j0pNM7itZXx8vI4dO6Zt27bpu+++09y5c3X8+PGkx8uUKaP//Oc/GXrN80m5JUnLli2d/ccBBC7+pQM+KioqylnnypVLuXPnliQlJFjN+Eh6b7xVWltIV68mPfFfo6VLCzvhdsrXzA69evXSpk1ppO0pGGPUoUMH3XfffTIm67dK+eqrr7R8+XKn1qNHjyx/HwAAAADIKimv2QoXLpyh56c8Pj3XgC1bGJUqJT35jNXhw8n1EzHSU89Y/dnN6s7+RqGhaV+3vfXWW5oxY0a6+rvyyiv19NNPq0iRIuk6Pj3++usv/fHHH06NLUmA4EG4DfiolHeOjoyMlCRt32714itWv65L/ZzQUOn2PkY9u0thYSbpOWd7TS+Eh4erbdu26tChgy6++OJseY+dO3fq5Zdfdmo33nijrrrqqmx5PwAAAADICidOnHDWKa/pziez14B1ahuNHys98ZTVH3+6j02dJv3+u9VTj0vFi2duMKlRo0bq2LGj6tevn6nnn0vKqe06deqoXLlyWf4+AHwTe24DPirlSU1ERIRmfmTVp1/awfbFFaWxo4369jYKCzt1wpHyxCbla3ohLi5Oixcv1vTp01P9yl1WOH78uB588EFnS5dixYrpoYceyvL3AgAAAICslDKMjoiIyNDzL+QasERxoxFvG7VqmfqxX9ZKffpZLf02c/tw//DDD5o5c6bWrFmTqeefzenryzPdeuutWfoeAHwbk9uAnzh82OidkalPJIyRunWR+t1uFBlpUjyW9dt9nM+bb76puDP2SomOjtaBAwf0+++/a8mSJdq2bZuioqL0ySefaMmSJXrwwQfVunXrLHnvuLg4PfLII9qyZUtSLTw8XM8//7wKFSqUJe8BAAAAADklo9d0F3oNGBlp9OhDUvVLpWHD3X24jx2THn/Sqt2tVoPvNsqV69R73XHHHerSpUvScbGxsTpy5Ig2bdqkpUuXauXKlYqPj9f333+v77//Xh07dtTQoUMVGhp6Qb1K0rJly3TkyJGkdb58+dSkSZMLfl0A/oNwG/BRp/fXPi0uLlZhKT77S5U6tbf2FZenfQJz5t2i03rN7HDRRRelql1yySWqX7++br/9ds2dO1dvvfWWYmNjFRMToxdeeEEhISFq2TKN8YAMSEhI0JNPPqmVK1cm1UJDQ/Xcc8+pdu3aF/TaAAAAAJAT8uTJ4/wWaspruvPJimtAY4zatZUuuUR6+lmrPXvcx+d+Kv3yq9X/npIqVzIqWLCgChYsmOp1ateurU6dOkaqrY0AADn8SURBVOmXX37RM888o927d0uSZs2apdjYWD3++OMZ7i2llFuS3HzzzcqVK9cFvy4A/8G2JICP2rs35UmIe5LS4Tbpg/FnD7al1Cc2efLkyar2Mq1du3Z67rnnktbWWr322mvau3dvpl8zMTFRzz//vL755pukWkhIiJ566indcMMNF9AtAAAAAOSclGH0hYbbF3INWLOG0fvjjJqmMQi9bZs04E6rj+dYWXvurUpq166tUaNGOQH4vHnztGzZskz3Jkl79uzRzz//7NTatm17Qa8JwP8QbgM+JjbWaszYRP33ibwpHomRtSdUprQ04m2jofeFKE+ec//K2aFDh5x1vnz5srjbzGncuLGuv/76pPWJEyf08ccfZ+q1rLV65ZVXtGjRoqSaMUaPPfaYmjdvfsG9AgAAAEBOSXnNdvjw4Qw9P6uvAfPnN/rfU0aPPmyUciD6ZJz01ttWjz5udeDAuQPu0qVL64477nBqH3744QX1tmDBAiUmJiatq1SpomrVql3QawLwP4TbgA9Zvcaqzx1Wk6dKibagpPzO4y2a79EHE4xqX5G+fdRO/9rXab50x+hmzZo56x9//DFTr/PGG2/ok08+cWoPPfRQlu3jDQAAAAA5pWzZss56165dGXp+dlwDGmPUuqXRhLFGVS5J/fj3y6Wefa0WLTn3FPfNN9/srH/77TcdO3YsUz1ZazV//nyn1qZNm0y9FgD/RrgN+ICjx6xeejVR9w612r7jjAdMRee46xvtSLppR3rs2LHDWVesWDHtAz1Qvnx5Z719+/YMv8awYcM0a9YspzZ06FC1b9/+gnoDAAAAAC+kvGbL6HVSdl4Dli9v9O4ooy6dUj927Jj0wktWDz1qtWdv2gF3kSJFVKBAgaR1YmKidu7cmaleVq5c6Tw3IiKC39wFghThNuAha62++saqZ2+rBQtTPx4aWslZr1+/Pt2vfeLECf31119OrVKlSmc5OueFhbn3s42Li8vQ80eMGKHp06c7tSFDhjh36QYAAAAAf1K5cmVnnZFrQEn69ddfnXVWXwNGRBgNuSdEr71iVLhw6sd//Enq1ddq7qdWiYmpQ+7Q0FBnndHrwNNS3kjyhhtuSPOmlgACH+E24JG9e0/tTfbUM1YHD6V+vGYN6d57r3Fqq1evTvfr//LLL0pISEhaV61aVUWLFs10v1kt5Q0kixQpku7nvvvuu5o8ebJTu+uuu9SjR48s6Q0AAAAAvFCvXj0nAP7zzz91/PjxdD33+PHj2rBhQ9I6NDRU9erVy/IeJalBfaNJE41uujH1Y9HR0utvWt1zr9Vfm5MD7tjYWB05csQ5NiPXgacdO3ZMS5cudWpsSQIEL8JtIIclJlrNnmvVs6/V98tTP547t/TA/Uajhhu1vbWBIiMjkx5bt26dtm3blq73WbBggbO+4YYbLqDrrJfyrtYp95Y7m/Hjx2vixIlOrV+/furbt29WtQYAAAAAnihUqJAuv/zypHVcXJw+++yzdD13yZIlio+PT1rXqVMnW6eZCxcyeubJEL30vFFac1Tr1kv9BlgNH5Wo6GirlStXOjeAzJUrly666KIMv++SJUsUGxubtC5VqpSuuuqqTP0dAPg/wm0gB23ddurb6zeHWUVHp3684bXS5A+M2rczCgkxypUrl5o2beock547Sv/zzz/ON9mhoaGpbuDopf3792vu3LlOrXHjxud93uTJk/Xee+85tT59+mjAgAFZ2R4AAAAAeKZly5bOevr06Tp58uQ5n3Py5EnNmDHjnK+TXRpdZ/Th+0YtW6R+LCFRmjFT6t4rQcOGTXAeu+aaaxQeHp7h90u5JUmbNm1kTPrvTQUgsBBuAzng5EmrCe9b3d7fal0aW6YVLiw9+4zRyy8YlSjufij379/f2Z96wYIFWrZs2VnfKzY2Vs8995yzd9mtt96arsnoa665xvnfqlWrznrsiRMnNHXqVMXExJz3dc906NAhPfDAA86v1hUoUOC84fvMmTM1YsQIp9a9e3cNGjQoQ+8PAAAAAL6sZcuWqlChQtL677//1ujRo8/5nFGjRunvv/9OWl988cXpusHioEGDnGvAlMNEKc2cOVP79+9PVS+Q3+ixR0L05mtGZUq7j1kbrz27X9S///7m1Dt27Hje/lLauHGjs/VKSEiIWrVqleHXARA4CLeBbLZuvdUdA06F22f8hliSVi2lKR8YNb3BpPltc5kyZVLdJPGxxx7TRx99lOrmG1u3btXgwYO1bt26pFrBggXVr1+/rPnLnCE+Pl7vvPOOOnTooGHDhmndunXnvBnIgQMHNGXKFHXt2lUbN250HhsyZIgKFSp01ufOmzdPb731llO74YYb1LFjR+3cuTND/zt27NgF/b0BAAAAIDuFhoZqyJAhzvXhtGnT9PLLL6fas/rw4cN66aWXNH369KSaMUb33ntvqps3ZoV58+apQ4cOevrpp/Xtt9+m2g+83tWn9uK+vY8UFharxITPlHCyj2zCQue4cuVv0cUXX5nh9//000+ddf369VWiRImM/0UABIyw8x8CIDOOH7d69z2rOZ9INvVNolWmtPTwg0ZX1j3/r0/dfffd2rJli3744f/au/P4qMp7j+Pfkz1kIWTDAAHCahCQHQIiiCAIWJe6U6QCAipUxXpd0Cu0da1aqForoq1iEa+KoBahioJbECXIDrLvhJCQBEgyIcm5f4xMmawzYZKZyfm8X6+8mOfkOec8x9v7zczvnHmedEn2wvLzzz+vN954Qx07dlRERIQOHTqk7du3yzznZMHBwXrmmWcUHx/vsesqLzs7WwsXLtTChQsVHByslJQUxcXFKSoqSqZp6tSpUzpw4IAOHTrkNLazpkyZUuPiH0uXLq2w78qVK7Vy5Uq3xzthwgSmMQEAAADg0y655BJNnjxZf//73x3bFi9erE8//VQXXXSR4uLidPz4cW3ZssVp/mnJ/vkxLS2tzsZms9m0fPlyLV++XIZhqEWLFkpKSlJUVJSCgoJUUFCgo0eP6kzRHpVV8oSXETBAhzMf0s2/MXXbb6Qbfi2FhdX8ubi4uLjC/OMsJAmA4jZQB7751tTzfzGVVfHbWgoMkG6+SRr/W0Ohoa7NCxYYGKgnnnhCTz75pD7//HPH9hMnTmj16tWV7tOkSRP97//+r7p161abS6iVM2fOVHgquyqJiYmaPn26zy10CQAAAAC+4Le//a0Mw9Brr73mWCjSZrMpIyOj0v5BQUGaNGmSxo4dW29jNE1TBw4c0IEDB1zoHaqAoN/KCBwjwwhSYaH06mum3l8k3X6bNHqUFBRU9WfkVatWKT8/39Fu0qSJS2s3AWjYKG4DHpSdbWrOS6a++LLy33fsID30gKH27d1f7KJRo0b605/+pCFDhmjBggXatKmSybtln7966NChuuOOO9SkSRO3z+OqiIgI/fnPf9bq1auVkZGhffv2Oa18XZnAwEB16dJFI0aM0BVXXKFGjRrV2fgAAAAAwN+NGzdO/fr10+uvv6709PRKp4IMDg5WWlqaJk6cqA4dOtTpeB5++GF9/fXX+vHHH7V9+/YaF7qUpFatWmno0OEqLhmlxUsSVFhu2absbOm5v5h6511pwnhp6BApIKDiZ+byU5KMGDHCaX0qANZkmJXNE3AeTpw44cnDeZVhGI55gHNzcyudUgGQpJISU4s/kl573VS5KcckSaGh0sTxhm74dfV3ot1x+PBhbdu2TcePH1dRUZFiY2OVlJSkrl271mrF6fN1+vRp7dmzR0eOHFFOTo4KCwsl2YvgkZGRatmypdq1a6fQ0NB6H5s/I4cAeBMZBMCbyCDAWX5+vjZu3KisrCzl5eWpcePGSkhIUJcuXRQdHV3v4ykpKdGePXt0+PBhZWVlqaCgQCUlJWrUqJEiIiKUlJSkDh06OI3t+HFTc+eZWrqs6uO2bSONu83QoIFSYKBnPj/XFjkEeJ6nH8SkuF0NQgyu2LTZPgXJjp2V/753L+n30w01b+bdP8rwT+QQAG8igwB4ExkENFzbttvXqPrhx6r7tGop/WaMoWGXe+4hMXeRQ4DnUdyuR4QYqpOba+rvc019srTy30dHS9PuNjTiCjmtcg24gxwC4E1kEABvIoOAhi9jnf1z9ZatVfdJSpLG3GJo5AgpJKR+P1uTQ4DnUdyuR4QYKlNWZurjf9sXvjhnLQsnw6+Qpt5pqEkTito4P+QQAG8igwB4ExkEWINpmvrmW2nuPFN79lbdLyFeuuUmQ7+6SgoLq5/P2uQQ4HkUt+sRIYbytm039fxsU1uruKuc0lq6/z5D3S6mqA3PIIcAeBMZBMCbyCDAWkpLTa36Wnpzvqldu6ru1zhauuZq6bprDMXF1e1nb3II8DyK2/WIEMNZJ0+aeu11Ux8ukSr7n0F4uDT+t55dMBKQyCEA3kUGAfAmMgiwJtM09V26vchd3XQlwcHSsKHSTTcYatumbj6Hk0OA53m6uB3k0aMBDUxpqX0Kknmvm8rNq7zPkMukaXcZSkigqA0AAAAAwPkwDEMD+kv906Qf10pvvW1q3U8V+505Iy39VFr6qamePUxdd419Px44A6yF4jZQhYx1pv76kqmdVXwdKjlZmn6Pod69+MMJAAAAAIAnGYah3r2k3r0Mbdho6q23Ta3+vvK+azOktRmm4uOlX42WrholHkADLIJpSarB10+s6fARU397xdTKryr/fWioNG6soZtvrP+VmmE95BAAbyKDAHgTGQSgvN17TL33vqnl/5GKz1TdLzBAuuQS6dqrDfXsYc+T2iCHAM9jzu16RIhZS0GBqfkLTL37btV/JAdeIv3ubkNJSRS1UT/IIQDeRAYB8CYyCEBVcnJMfbjE1IeLVeUUomclJ0vX/MrQlSOk6Cj3PsuTQ4DnUdyuR4SYNZSVmVr+mfT3uaaysyvv0yZF+t1UQ716UtRG/SKHAHgTGQTAm8ggADWx2Ux9uUpavMTUps3V9w0Jsa+ZNXKEoW4XSwEBNX++J4cAz2NBScCDNm02NeclU1urWIG5cbQ0cYKhq0axKAUAAAAAAL4kNNTQiCukEVcY2rHD1IcfmfrsM6mwqGLf4mJp2XJp2XJTFzSVRgw3deVwQ82b81kf8Gc8uV0N7tA1XPv2mZr7uqlVVcyrHRggXXetdPtvDbe/tgR4EjkEwJvIIADeRAYBqI1Tp+xzcn/4kam9e2vu37WLdOVwQ0MukyIinD//k0OA5zEtST0ixBqerCxTb7xpaulSqbSs8j59ekvT7jaU0pqiNryPHALgTWQQAG8igwCcD9M0tX6D9OFiU6u+lkpKqu8fGipdOtA+bUmP7lJgoEEOAXWAaUmAWjh50tS/3jH13geSzVZ5nxYt7ItFpvWr/UrKAAAAAADA+wzDPrd2t4sN5eTY19r6dJmp3Xsq72+zSZ99Ln32uanEBGn4FaauHBGgX2rbAHwUT25Xgzt0/s9mM7VosfTW26ZOnqy8T3S0NG6soeuukYKDKWrDt5BDALyJDALgTWQQAE8zTVM/77AXuT/7XMrLr3mfLp2DNHpkiAb0L6LQDXgA05LUI95M+a/SUvscW/P+YerYscr7hIZKN94gjbnZUGQkRW34JnIIgDeRQQC8iQwCUJfOnDH13Wpp2TL7v6Wl1fcPDJR695KuGGpo4CVSeDh1BKA2mJYEqEZZmamVX0n/+KepPXsr7xMYII0eJd0+zlB8PH+MAAAAAACwmuBgQ4MGSoMGGjqRa3+Se9ly+5PdlSktlVZ/L63+3lR4mHTpQFPDhhrq1VMKCqK2AHgLT25XgycF/IcrRW1JGjxImjTBUMuW/OGBfyCHAHgTGQTAm8ggAN6wc5epT5eb+s9nkislriZNpMuH2J/oTr2QNbyAmjAtST3izZTvKy21F7X/+Wb1Re3u3aQpkwxd1Ik/MvAv5BAAbyKDAHgTGQTAm0pKTK3NMPTlyiCt+KJYhUU175OUJF1+mXT5EEPt2lLoBipDcbse8WbKdxUX2+fU/tdCUwcPVt2vbVvpzkmG+vbhjwr8EzkEwJvIIADeRAYB8LazOXS6wNQn/z6h5f8x9cOPUllZzfu2TLY/0T10iKFWrahHAGdR3K5HvJnyPQUFppZ8LL37nqnjx6vu17aNfU7tSwdKAQH8EYH/IocAeBMZBMCbyCAA3lZZDmVnm1rxpfTZ56a2bnPtOO3a2p/mHnKZ1LwZNQpYG8XtesSbKd+Rm2vqgw9Nvb9IOnmy6n4UtdHQkEMAvIkMAuBNZBAAb6sph/bvN/Wfz019/oWq/Vb5uS7sKA261NDgQVJyC+oWsB6K2/WIN1Pet2u3qQ+XmFq2XCqqZn6rDh2k28ZQ1EbDQw4B8CYyCIA3kUEAvM3VHDJNUz/vkFZ8aWrFF1JmpmvHb9vml0L3pVJKCtOpwhoobtcj3kx5R3GxqVVfSx8uNrVhY/V9e3SXfnOrod69+COAhokcAuBNZBAAbyKDAHhbbXLINE1t3iJ9/oWpL1dK2dmunSs5WRp8qb3Y3bEDNQ40XBS36xFvpurXkSOmPvrE1Mf/lnJzq+87cIA05lZDnS8i7NGwkUMAvIkMAuBNZBAAbzvfHCotNbV+g7TiC1MrV0l5+a7tl3SBdOml0uBLDV3UiW+oo2GhuF2PeDNV94qLTX2XLi391FT691J1/4kDA6Rhw6QxtxhKaU2wwxrIIQDeRAYB8CYyCIC3eTKHSkpMrftJWvWVqa++lnJcLJ/Fx0sD0qQB/Q317CGFhlIPgX+juF2PeDNVN0zT1Pbt0tJl9kUX8mu4cxkXK/3qKumqUYYSEwlxWAs5BMCbyCAA3kQGAfC2usqh0lJTmzZLK1fZp2U9dsy1/UJDpd69pAFphtLSpPg4aiTwPxS36xFvpjxr9x7713C+WGlq796a+3fvJl17jaFLL5GCgghsWBM5BMCbyCAA3kQGAfC2+sgh0zS1dZu08itTq1ZJhw67vu+FHe1PdA/oL7Vvxzzd8A8Ut+sRb6bOj2ma2r3Hfifyy5XS3n017xMRIV05XLr6V0w9AkjkEADvIoMAeBMZBMDb6juHTNPUzl32qUtWfiWXHgw8KzFB6v/L9CU9ujN9CXwXxe16xJsp9xUXm/ppvfTtd/a5tI8cdW2/bhdLI4YbGjJYatSIAAbOIocAeBMZBMCbyCAA3ubtHNq3z9S36fYay8ZNUlmZa/uFhko9ukt9+xjq01tKbsFT3fAdni5uB3n0aLCcsjJTe/ZK636S1maY+vFHqbDItX2TkqQrhxsafoXUvBkhCwAAAAAAcFarVoZatZJuvdlQXp6p1d9L36ab+n6NdPp01fvZbFL6ail9tb0Yn5Qk9e1jql8f+1PdPFSIhoQnt6vh7Tt0vqi42P4Vmc1bpJ/Wm/rpJymvhgUhz5UQLw0eJF022FDni6SAAAIVqA45BMCbyCAA3kQGAfA2X82hM2d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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(bgm.expected_purchases_new_customer(t=10).sel(customer_id=1))\n",
"plt.title(\"Expected purchases of a new customer in the first 10 periods\");"
]
},
{
"cell_type": "markdown",
"id": "ec50518a",
"metadata": {},
"source": [
"### Customer Probability Histories"
]
},
{
"cell_type": "markdown",
"id": "70f09789",
"metadata": {},
"source": [
"Given a customer transaction history, we can calculate their historical probability of being alive, according to our trained model. \n",
"\n",
"Let look at active customer 1516 and assess the change in probability that the user will ever return if they do no other purchases in the next 9 time periods."
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "586147ea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"customer_id 1516.000000\n",
"frequency 27.000000\n",
"recency 67.000000\n",
"T 70.000000\n",
"monetary_value 51.944074\n",
"Name: 1515, dtype: float64"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"customer_1516 = rfm_data.loc[1515]\n",
"customer_1516"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "d263f46f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_hdi(customer_1516_history[\"T\"], p_alive, color=\"C0\")\n",
"plt.plot(customer_1516_history[\"T\"], p_alive.mean((\"draw\", \"chain\")), marker=\"o\")\n",
"plt.axvline(\n",
" customer_1516_history[\"recency\"].iloc[0], c=\"black\", ls=\"--\", label=\"Purchase\"\n",
")\n",
"\n",
"plt.title(\"Probability Customer 1516 will purchase again\")\n",
"plt.xlabel(\"T\")\n",
"plt.ylabel(\"p\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "92918446",
"metadata": {},
"source": [
"We can see that, if no purchases are being made in the next 9 weeks, the model has low confidence that the costumer will ever return. What if they had done one purchase in between?"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "48bd5403",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_hdi(customer_1516_history[\"T\"], p_alive, color=\"C0\")\n",
"plt.plot(customer_1516_history[\"T\"], p_alive.mean((\"draw\", \"chain\")), marker=\"o\")\n",
"plt.axvline(\n",
" customer_1516_history[\"recency\"].iloc[0], c=\"black\", ls=\"--\", label=\"Purchase\"\n",
")\n",
"plt.axvline(customer_1516_history[\"recency\"].iloc[-1], c=\"black\", ls=\"--\")\n",
"\n",
"plt.title(\"Probability Customer 1516 will purchase again\")\n",
"plt.xlabel(\"T\")\n",
"plt.ylabel(\"p\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "a45c921f",
"metadata": {},
"source": [
"From the plot above, say that customer 1516 makes a purchase at week 73.5, just over 6 weeks after they have made their last recorded purchase. We can see that the probability of the customer returning quickly goes back up!"
]
},
{
"cell_type": "markdown",
"id": "815d2f63",
"metadata": {},
"source": [
"## Estimating Customer Lifetime Value Using the Gamma-Gamma Model"
]
},
{
"cell_type": "markdown",
"id": "1d26ffad",
"metadata": {},
"source": [
"Until now we’ve focused mainly on transaction frequencies and probabilities, but to estimate economic value we can use the Gamma-Gamma model.\n",
"\n",
"The Gamma-Gamma model assumes at least 1 repeat transaction has been observed per customer. As such we filter out those with zero repeat purchases."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "ee66d183",
"metadata": {},
"outputs": [
{
"data": {
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1126 rows × 5 columns
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],
"text/plain": [
" customer_id frequency recency T monetary_value\n",
"0 1 3.0 49.0 78.0 23.723333\n",
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"5 6 14.0 76.0 78.0 76.503571\n",
"6 7 1.0 5.0 78.0 11.770000\n",
"7 8 1.0 61.0 78.0 26.760000\n",
"... ... ... ... ... ...\n",
"2351 2352 1.0 47.0 66.0 14.490000\n",
"2352 2353 2.0 53.0 66.0 19.775000\n",
"2353 2354 5.0 24.0 66.0 44.928000\n",
"2354 2355 1.0 44.0 66.0 24.600000\n",
"2355 2356 6.0 62.0 66.0 31.871667\n",
"\n",
"[1126 rows x 5 columns]"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nonzero_data = rfm_data.query(\"frequency>0\")\n",
"nonzero_data"
]
},
{
"cell_type": "markdown",
"id": "c844025c-8f6b-4128-a109-cf3af964ca04",
"metadata": {},
"source": [
"If computing the monetary value from your own data, note that it is the *mean* of a given customer’s value, *not* the sum. `monetary_value` can be used to represent profit, or revenue, or any value as long as it is consistently calculated for each customer.\n",
"\n",
"The Gamma-Gamma model relies upon the important assumption there is no relationship between the monetary value and the purchase frequency. In practice we need to check whether the Pearson correlation is less than 0.3:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "e8ccbfb7-1951-49fa-bf57-a43fbf5df4cc",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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monetary_value
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frequency
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" monetary_value frequency\n",
"monetary_value 1.000000 0.052819\n",
"frequency 0.052819 1.000000"
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},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nonzero_data[[\"monetary_value\", \"frequency\"]].corr()"
]
},
{
"cell_type": "markdown",
"id": "057edfe6-ac7c-48f9-941f-6e5c047b09c5",
"metadata": {},
"source": [
"Transaction frequencies and monetary values are uncorrelated; we can now fit our Gamma-Gamma model to predict average spend and expected lifetime values of our customers"
]
},
{
"cell_type": "markdown",
"id": "3ad94288",
"metadata": {},
"source": [
"The Gamma-Gamma model takes in a 'data' parameter, a pandas DataFrame with 3 columns representing Customer ID, average spend of repeat purchases, and number of repeat purchase for that customer. As with the BG/NBD model, these parameters are given HalfFlat priors which can be too diffuse for small datasets. For this example, we will use the default priors, but other priors can be specified just like with the BG/NBD example above."
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "d2f5bf8c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Gamma-Gamma Model (Mean Transactions)\n",
" p ~ HalfFlat()\n",
" q ~ HalfFlat()\n",
" v ~ HalfFlat()\n",
"likelihood ~ Potential(f(q, p, v))"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gg = clv.GammaGammaModel(data=nonzero_data)\n",
"gg.build_model()\n",
"gg"
]
},
{
"cell_type": "markdown",
"id": "cc7e4225",
"metadata": {},
"source": [
"By default, `fit` generates full Bayesian posteriors via [MCMC](https://en.wikipedia.org/wiki/Markov_chain_Monte_Carlo) sampling. For extremely large datasets where the full posterior is not needed and/dor MCMC is too slow, the [maximum a posteriori](https://en.wikipedia.org/wiki/Maximum_a_posteriori_estimation) `method` can be used to estimate point estimates for model parameters."
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "f8f280ad",
"metadata": {},
"outputs": [
{
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"model_id": "e444257e31e54ad29acb578be3e4dcc5",
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"text/plain": [
"Output()"
]
},
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"output_type": "display_data"
},
{
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"\n"
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