{
"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.io/en/stable/notebooks/clv/sBG.html)** for discrete time, contractual modeling\n",
"* **BG/BB model** 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",
"\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": 3,
"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"
]
},
{
"cell_type": "code",
"execution_count": 5,
"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": 6,
"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": 7,
"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": 8,
"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."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2ac219da",
"metadata": {},
"outputs": [],
"source": [
"bgm = clv.BetaGeoModel(data=rfm_data)\n",
"bgm.build_model()"
]
},
{
"cell_type": "markdown",
"id": "45e53414",
"metadata": {},
"source": [
"This model has 4 parameters that specify the global frequency and dropout rates of customers."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "40d5f47d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BG/NBD\n",
" a ~ HalfFlat()\n",
" b ~ HalfFlat()\n",
" alpha ~ HalfFlat()\n",
" r ~ HalfFlat()\n",
"likelihood ~ Potential(f(r, alpha, b, a))"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm"
]
},
{
"cell_type": "markdown",
"id": "27369174",
"metadata": {},
"source": [
"The default priors for the 4 parameters follow a HalfFlat distribution, which is an improper positive uniform distribution. For small datasets this prior can yield implausible posteriors. To avoid this problem, more informative priors can be specified by defining custom PyMC distributions.\n",
"\n",
"Here, we will replace the HalfFlat default by more well-behaved HalfNormal priors with a standard deviation of 10.\n",
"Customization priors is possible by passing a dictionary with keys being the name of the prior, and values being a dictionary with 2 keys: 'dist' representing the name of PyMC distribution and 'kwargs' that holds an optional dictionary of all parameters we wish to pass to the distribution"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "3af6449f",
"metadata": {},
"outputs": [],
"source": [
"from pymc_marketing.prior import Prior\n",
"\n",
"model_config = {\n",
" \"a_prior\": Prior(\"HalfNormal\", sigma=10),\n",
" \"b_prior\": Prior(\"HalfNormal\", sigma=10),\n",
" \"alpha_prior\": Prior(\"HalfNormal\", sigma=10),\n",
" \"r_prior\": Prior(\"HalfNormal\", sigma=10),\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "cc17d278",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BG/NBD\n",
" a ~ HalfNormal(0, 10)\n",
" b ~ HalfNormal(0, 10)\n",
" alpha ~ HalfNormal(0, 10)\n",
" r ~ HalfNormal(0, 10)\n",
"likelihood ~ Potential(f(r, alpha, b, a))"
]
},
"execution_count": 12,
"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": "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": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [a, b, alpha, r]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "8f74c52e40e44b26ad97a5343b5119ec",
"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"
},
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_expected_purchases(\n",
" model=bgm,\n",
" purchase_history=raw_trans,\n",
" datetime_col=\"date\",\n",
" customer_id_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
" t=78,\n",
");"
]
},
{
"cell_type": "markdown",
"id": "312b781f-7044-4aff-b08e-e3a29b916801",
"metadata": {},
"source": [
"There is a wide discrepancy between cumulative actual and predicted purchases! This is a good indicator of extraneous customers and/or date ranges to exclude from model training, and perhaps the need for additional covariates.\n",
"\n",
"\n",
"Let's plot incremental purchase dates for more insights:"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "a3487622-29c7-41c3-a749-ca7b0990461d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_expected_purchases(\n",
" model=bgm,\n",
" purchase_history=raw_trans,\n",
" datetime_col=\"date\",\n",
" customer_id_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
" t=78,\n",
" set_index_date=True,\n",
" plot_cumulative=False,\n",
");"
]
},
{
"cell_type": "markdown",
"id": "a8ee48b0-ede5-4490-a282-5898380430a2",
"metadata": {},
"source": [
"There was a large sales bump in the first few months that is biasing model results and should be investigated. However, notice purchases flatline in the following months and the model is still able to capture this trend. Simply excluding data prior to Apr 1997 should improve performance considerably, but for pedagogical purposes we will continue with the tutorial."
]
},
{
"cell_type": "markdown",
"id": "d5a0d8b6",
"metadata": {},
"source": [
"### Visualizing Prediction Matrices"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "75e7e1a2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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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": 49,
"id": "bcb184f3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bCAS0evXqOuUAAAAAAEA8ubq7R9u2bZ3jsrIyNy8dE//+97/17rvvSpLatGmj66+/vs6xtmzZEtLu169fxOf2798/pL1169Y652GKx/DqMl5v/bZ1PTKg+XJoMNlszIDPMhrPn2q2JhlI8dbeKQoeX/QjkMJKMvz2llxLvCRv6HFt/QOB+udUlW32OWjJbI626YdsmX2NmP7+AQAAIHquFil69erlHO/cudPNSxt36NAh/elPf3LaM2fOVHp6ep3jVS0sHHPMMRGf26FDh7CxAAAAAKDB4HODRs3V6R7dunVTnz59ZNu2Nm7cqOzsbDcvb9Tdd9+tvXv3SpJ++MMfasyYMfWKV/V7Ec10mKp99+zZU69cAAAAAACIB1dHUkjSL3/5S910002ybVv33Xef/vznP7udQr2tXLnS2erT5/Pp5ptvrnfMqtuxpqWlRXxu1b512trVU0tRxNO2+uMaZKTUfVRJtVKbGQ1XlJZqNJ4k+ZqbfTmlFpsdyt60zOxY+9Sgz2i85NqmR0TJamo2nl2cEvbrrTPTqz2uMV6J+d2NbNNTSAzHM56faUz3iLnW7VtWewygHK8RVLZvF4vho3FyvUhx4YUX6v3339eHH36ol19+Wd26ddOUKVPcTqPOSktLnSKLJF111VU69thj6x23amHB54v8D8CUlNA/nupSpPC0+zjyvhkv1dpncbuoUwCOGnPf/X28UwAS3gMr/xLvFICExmsEZ3sujHcKcWN4eTs0MK5O96hw77336uyzz5Zt25ozZ44mTZqkzz77LB6pRO2BBx7Qtm3bJMlogaWkpCSkHU2Romrf4uJiIzkBAAAAAOAm10dSzJo1S5LUrFkzpaWlqbCwUMuWLdOyZcuUlpamvn37qnXr1lFNd7Asy5VpIxs3btSiRYuc9q233hpVMSGcqqMhSksjHwpetW9qavRTGYJ7Tw3fwdPWGUER3HeBFMwJ2/3i/54ddQ7h7DtkeLpHbgyme+QYnu6RY3i6R47h6R77zE5XSM47bDSedagO057CsGsp/rXOTHdGUFx79p+Vm30wfDymeyQepnvEXOv2LZ1Ph3899Ebl7smLb0JAguE1AvyPbXgHLzQorhcpXn75ZVmVto2zLMuZOlFQUKBVq1ZFFc+2bVeKFMFgUDfddJOzder48eN18sknG4vftGnTkHY0RYqqozCqxopIMIrFNoM5tfbfVxL+D7RoZReb3YK0sNBvNJ4kpRwy+3Jqkmf2zTkt1+wfiE1ySmrvFIXkXLNFBSu/0Gg8+3DkRZTc7IPatzsvfLxis98/SbL9hp/XFCkQQ7l78phvDYTBawRAY+V6kaI6lum97mPgqaee0pdffilJatmypX73u98ZjV+1sFBYGPkfWFX71qlIAQAAAABAnMWlSGE3sE+riouL9fe//91p/+53v1Pr1q2NXiMzMzOkHc02ort37w5pR7N9KQAAAAAklIb15yIMc71I8f7777t9yXorLS0N2THjpptu0k033RT2nKqFmFdeeUWvvfaa0x43blzIFJUePXqE9P/uu+8izq9qQaN79+4RnxsrSZbZ6Rlej9l4Sjb/zmd4R04Fw+94GbWAz+yIpWCK12g822d4C1LDW5qqrJZ4SUmhx0nh+1te81OOjE/PsAyvrWx6qW7b8PsCAAAA4s71IkXHjh3dvqRxgTr8IWDbdsh5wWDoL9dVixRZWVkRx163bl1IOxGKFAAAAAAARCsh1qSA1KtXL7Vo0UL5+fmSpLVr10Z87po1a5xjr9erwYMHm04PAAAAAFxhevAlGhaKFBFo0aKFNm7cGNU5n3/+uS677DKnPX78eN1111019k9KStJpp52mN954Q1L5OhNffvmljj/++LDXyc7Odhb0lKRBgwYZXy8DAAAAAAA3GJ5wjPo499xzQ9rPPvtsrec8//zzIdNIRo0aZTwvAAAAAADcQJEigYwcOVK9e/d22q+++qpWrlxZY/9t27Zp0aJFTrtt27a68MILY5ojAAAAAMSUnYA3uCYhpnvs379fH3/8sb744gtt375dBw8eVGFhoSTpvffei3N27rEsSzNmzNBVV10lqXyxzauvvlpz587VsGHDQvpmZWVp2rRpKikpce6bPn26UlNTXc0ZAAAAAABT4lqk2Lt3r+677z69/vrrKisrC/mabduyrOq3THz55Zf1+9//XlL5ehGffPKJkpOTY56vG8444wxNmTJFCxculCTl5+dr4sSJGjx4sAYOHCiPx6ONGzdq2bJlIducjhkzRhMmTIhX2gAAAAAA1FvcihSffvqpbrjhBh04cMD5Y7umokRV5513nu655x7l5uYqPz9fS5Ys0TnnnBPLdF01Y8YMFRcX66mnnnLuW716tVavXl1t/9GjR+v22293Kz0AAAAAiBl292jc4lKk+OKLL3TVVVeprKwspDDh9XrVvHlzHThwIOz5Pp9Po0eP1tNPPy2pfErI0VSk8Hg8mj17tk499VTNnz+/xu1Ie/furcmTJ2vs2LHuJhgBy/A7i9cTNBrPSjIbT5KCyWYfc8AXWdEu4ngphuOlml3SJphq9u3IOmx2dJVVWhb+615vyLGVFP7x2JX6G2M6pm32OW3ZZp+DdtD0skqG3xcMf/8AAAAaA9eLFPn5+Zo+fbpToLBtWyNGjNAVV1yhIUOGKDs7W2eddVatcUaOHOkUKT7//PNYpx21k08+OeptS6saMWKERowYoW+//Vbr1q3T3r17FQgElJmZqV69eqlPnz6GsgUAAAAAIP5cL1IsXLhQeXl5TnvmzJmaOHGi0450ysfgwYPl9XoVCAS0d+9eZWdnKzMz03C2iaFr167q2rVrvNMAAAAAgNhjMGKj5uoWpLZt6x//+Icsy5JlWbrwwgtDChTRSElJUZcuXZz2li1bDGUJAAAAAADiwdUixbp165yFMj0ej6699tp6xevYsaNzvGvXrvqmBwAAAAAA4sjV6R4Vox0sy1L//v2VkZFRr3jNmzd3jgsKCuoVCwAAAACQAJju0ai5OpIiNzfXOa48CqKuvJVWsi8pKal3PAAAAAAAED+uFikCgYBz7DWwVd6hQ4ec48qjKgAAAAAAQMPj6nSP1q1bO8f79u2rd7ytW7c6xy1btqx3PAAAAABAfFlM92jUXB1J0a5dO0nlu3ysW7dOtl33Z9+ePXu0Y8cOp92jR4965wcAAAAAAOLH1ZEUgwcPVlJSkvx+vwoLC/X+++/rrLPOqlOs5557zjlu0aKF+vbtaypNGOAxXP5M8gaNxvMkmY0nScFks4856DMaToEU0/HM1jiDKfWfAlaZJ8Xs25tVUku85KTQ4+Ra+ieZf/u1Kk2pM8JwPNsyXRc3/HhNsyyz8epR2AcAAGgoXB1J0bRpUw0ePFhS+WiKOXPmqLS0NOo4W7Zs0RNPPCHLsmRZlk4//XTDmQIAAAAAALe5WqSQpClTpkgq34Z027Ztuvbaa6PamWPLli2aMmWKSkpKnOkikyZNikmuAAAAAADAPa4XKU499VQNGzbMKTAsXbpU5513nl555RUdPny4xvO2b9+uv/71r/rpT3+q3bt3y7ZtWZal888/X71793YrfQAAAAAAECOurklRYc6cObrwwgu1a9cuSdLOnTs1a9YszZ49W+3btw/pO3nyZH3zzTdO34rihCR1795dt956q7vJAwAAAABih2WYGjXXR1JIUqtWrbRo0SL17NnTKTrYti2/36+dO3c6/Wzb1qeffqqdO3fKtu2Qvn369NGiRYvUpEmTeDwEAAAAAABgWFyKFJLUtWtXLV68WD//+c+VVGmV+4rFMCtule+TJK/Xq4suukjPPffcEaMuAAAAAABAwxWX6R4VUlNTdfPNN2vatGl6/vnntWzZMv3nP/+R3+8/om+vXr30ox/9SD//+c/VpUuXOGQLAAAAAIg1i+kejVpcixQV2rVrp2uvvVbXXnutSktLlZOTo7y8PJWVlalVq1Zq06aNmjVrFu80AQAAAABADCVEkaIyn8+njh07qmPHjvFOBQAAAADgNkZSNGoJV6TA0SHJEzQaL9kbMBrP6zWbnyQFfGbfTY3HS7GMxvOnmo0XSPEajef1mX17s33J4b+enBRyXFt/q+zIaW31ZQfNvk4UMBzPNvuctmyzz0E7aHiZJtvw+4xl9vFKMv4zAQAAqK+4LZwJAAAAAABQGSMpAAAAAACJg4F+jRojKQAAAAAAQEKI60iKoqIi/etf/9Ly5cu1YcMG7du3TwUFBQpEOQ/asixlZWXFKEsAAAAAAOCGuBUpnnzySd13330qKiqSJNks3gUAAAAAjZ7Fn4aNmutFCtu2NWvWLL366qtOYcKyLFn/W7U8mmKFZVkUNwAAAAAADUZeXp5Wr16tPXv2qKCgQO3atVOnTp00aNAgeb1md7xriFwvUjz55JN65ZVXJH1fZLBtW6mpqercubOaN2/ODwYAAAAAcFTZtm2b7r33Xn344YcqKys74utt27bVxRdfrCuvvFI+ny8OGZZ77LHHdNddd4Xcd9JJJ+mpp55y5fquFin8fr/mz58fUpwYMWKEpkyZoiFDhjijKQAAAAAAjdRROFj+1Vdf1S233OIsd1CdnJwczZs3Tx988IHuv/9+derUycUMy+3cuVNz5851/bqVuVqkWLlypQ4ePOhM75gwYYJuvvlmN1OASzyG31m8hiemJSVFtzhrJEqTgkbjBX1mRxQFUo2Gkz/FbFHR38TsZkPeVLNvb1Zxctiv277kkOPK7WrjlR5ZPa83v+HHnGz4dWJ4ep7p318smX28dtDwBlq22fcYSZLpDweYggkAwBGWLl2qmTNnKhj8/v/yY489VieffLJatmyp7du3a8mSJSouLpYkZWVl6corr9QLL7ygZs2auZrrzTffHLaQ4gZXixTbtm2TVL7uRLNmzXTjjTe6eXkAAAAAAFyzd+9eXXfddU6BwrIs3Xjjjbr88svl8Xz/gUZubq5+85vfaMWKFZKkzZs3649//KPmzJnjWq6vvPKKPvnkE0nlU09ycnJcu3Zlhj/mCS8/P19S+Q9m0KBBSk01/NEuAAAAAKBBs+zEu9XVggULVFhY6LSvueYaXXHFFSEFCklq3bq1HnnkEfXo0cO576233lJWVlbdLx6F3NxcZx0Ky7I0a9YsV65bHVeLFGlpac5xy5Yt3bw0AAAAAACu2bdvnxYvXuy0u3TpoqlTp9bYPyUlRTfddJPTtm1bCxYsiGmOFf785z/rwIEDkqSLL75Yxx9/vCvXrY6rRYru3bs7xwcPHnTz0gAAAAAAuOb9998P2cXjoosuUnJy+HXLhg0bFvJ389KlS2O+RsTHH3+s119/XVL5NI/rr78+pterjatFiiFDhqhJkyaybVtff/21m5cGAAAAADQEdgLe6uCDDz4IaY8aNSqi83784x87xyUlJfr000/rlkAEioqKQjazmDVrllq0aBGz60XC1SJFamqqxo0bJ0nKy8vTu+++6+blAQAAAABwxapVq5zjjIwMde7cOaLzBg0aFNJeuXKl0bwq+/vf/65du3ZJkn70ox/pvPPOi9m1IuVqkUKSrr32WrVt21ZS+byXffv2uZ0CAAAAAAAxk52drUOHDjntfv36RXxu//79Q9pbtmwxlldlX331lZ5++mlJ5ethVB5REU+uFylatWqlhx56SC1atNDu3bv1i1/8QmvWrHE7DQAAAABAIor31A4D0z22bt0a0j7mmGMiPjcjIyNk7Ypt27ZFn0At/H6/brrpJgUCAUnStGnT1KVLF+PXqYukeFy0f//+euGFF/Sb3/xGGzdu1C9+8QsNGTJEp556qnr06KHmzZsfsSVLbYYOHRqjbAEAAAAAiFx2dnZIu3379hGfa1mWMjMztXPnzmpjmfDII49ow4YNkqQePXpo0qRJxq9RV3EpUkjSscceq5kzZ+r//u//dPDgQa1atSpkzk40LMtybf9YRMZjBY3G83oMx/OajSdJVrLZmEFfPTZkrkbAZ5mNl2o0nAIpZgd2BVK9RuN5U8O/Xdop3pBju7b+peFXdq4Lyx8wGs8OmI1nBc0+pxU0+5qzLbPPQcvw+5YdjMHgR9v8eyEAANARO3I0bdo0qvPT0tKcY7/fr5KSEqWkpBjJ7ZtvvtH8+fMllf8tfeutt8rn8xmJbUJcihQFBQWaNWuW3nvvPUnl3xipfB9YAAAAAEDjZR0FfxZWLVJEW2Co2r+wsNBIkcK2bd10000qKSmRJF1wwQUJNyvB9SJFUVGRLrvsMq1fv162bVOgAAAAAAAcVSqKABUqrzERiaojG6rGq6t//OMfWrFihaTy9SJvuOEGI3FNcr1IMWfOHGVlZcmyLFmWJdu21bRpUw0ePFjHHnusmjVrpqSkuM1CAQAAAACgXqqOeigrK4vq/NLS0rDx6iInJ0d33323077xxhvVqlWresc1zdVqQH5+vl588UWnOJGUlKT/+7//06WXXmpsfg0AAAAAoAE7CgbZV12DItqREFX7V16joq7+9Kc/KT8/X5J00kknafz48fWOGQuuFilWrFih0tJSZxTFH//4R1100UVupgAAAAAAQExVLVIUFhZGdX7l/klJSfX+UP/999/XO++8I6l86smtt95ar3ixFIOlwmu2fft2SeXrT7Rr144CBQAAAADgqJOZmRnSjmYbUdu2Q/pXjVUXd911l3M8depUde/evd4xY8XVkRTB/20XZ1mWfvCDH7h5aQAAAABAQ3AUTPfo0aNHSHvXrl0Rn7tv376QNSxMFBQOHDjgHD/44IN68MEHozp/xYoV6t+/v9MeOnSonnjiiXrnVR1XixSVK0CpqaluXhoAAAAAAFe0a9dOzZs316FDhyRJ69evj/jcrKyskLbpUQ+BQKDe51UMQIgFV6d7dO3a1Tnet2+fm5cGAAAAAMA1Q4YMcY7379/vLH9Qm9WrV4e0hw4dajSvROfqSIqBAweqY8eO2rVrl7766iuVlJSwq8dRymOZHaPl89St2leTZK/ZeJLkSTZbTQz6zH4PAymG46VaRuP5DQ+uSmriNRovUBz+7TKQkhRyHEgN398qjW6v7EhYfrPPa6uOVfaa2AHDFfco9xuvjaXotgarjW34bcbymP/Ewg6a/qyilhwtK/TYquV9xD4KxvsCAKJm+E+JuBk5cqQ+/PBDp/32229r6tSptZ5XscClVL716PDhw+udyxdffBFV/507d2rkyJFO+6STTtJTTz1V7zwi4epICkm6+OKLJUnFxcV6+umn3b48AAAAAAAxd+aZZyq50ocqixcvDllrojrLly/Xtm3bnPaIESOO2CnkaOd6keKKK67QwIEDZdu25s6dqxUrVridAgAAAAAgUdkJeKuDjIyMkB0tt2/frocffrjG/iUlJbr99tudtmVZmjZtWo39d+7cqT59+ji3M888s26JJhjXixTJycl6+OGHdfzxx6ukpESTJk3S/PnzVVBQ4HYqAAAAAADEzJVXXqm0tDSnff/99+uxxx47YuHJ3NxcTZ48WZs3b3buGz16dMiOGo2Fq2tSSNK8efMkSaeccoq++eYbHTx4UPfff78WLlyoQYMGqXv37kpPT5dV2zzVKqZPnx6LdAEAAAAAqJPMzEzNmTNH06ZNUzAYlG3buuuuu/T888/rlFNOUcuWLfXtt99qyZIlKi4uds7r2bOnbrvttjhmHj9xKVJULkBYliXbtnX48GEtX75cy5cvr1NcihQAAAAA0PAdLQtnVjj99NN155136pZbbtHhw4clSd98842++eabavv369dP8+bNU7NmzVzMMnG4Pt2jOpZlRT1yooLNyt8AAAAAgAQ2btw4vfTSSzrrrLNCFtOsrG3btvr1r3+tF198UZ06dXI5w8Th+kgKicICAAAAAKBx6d69ux544AEdOHBAq1ev1p49e1RYWKiMjAx17txZgwcPltfrjThep06dtHHjxpjkGsvYtXG9SPHkk0+6fUkAAAAAQENxlH+m3apVK40cOTLeaSQs14sUJ510ktuXRBx4DE8k83qCtXeKQrLXbDxJSkoKGI1X4jObYzDF7Owuf6rRcPI3MRyv2Ozj9ZaEf7sMNkkKOQ40Dd/fU1r9ML/6sPxmnzNWwOxzWkHD+dlm49nByD+5iETdJjHWzDb84yhnOKhVy+uu8tctT+39Zfi9mpGcAAAkvIRYkwIAAAAAACAua1IAAAAAAFAtBr41aoykAAAAAAAACYEiBQAAAAAASAgJM91j9+7dWr16tb7++mvt379fBw8elGVZatGihdq0aaMBAwZo8ODB6tChQ7xTBQAAAADEiOnFp9GwxL1IsXTpUj322GP6/PPPI+p/8skn64orrtCIESNinBkAAAAAAHBT3IoUhYWFuuWWW/TGG29Ikuz/bQtmWdXXzSq+/tlnn+nzzz/X6NGjdeutt6pZs2buJAwAAAAAAGIqLkWKoqIiXXbZZcrKypJt27IsS5ZlybZtpxhRnYoChm3beuutt7Rt2zY9/fTTatq0qVupAwAAAABiid09GrW4FCl++9vfat26dSHFCZ/Pp9NPP12DBg1S9+7dnRESBQUF2rZtm1avXq0PP/xQpaWlzjnr16/X9ddfrwULFsTjYQAAAAAAAINcL1J8/PHH+uCDD5xREZZl6ZJLLtE111yj9PT0as8ZMWKEJk6cqPz8fM2dO1fPPvuspPIRFR9++KE++ugjnXbaaa49Brdt375dWVlZ2rNnj4LBoDIzM9WrVy/17t073qnVKMkKmo3nMRvP5w0YjSdJSUlmcyxNNhsvkGK2JB1MMbukkb+J4XiHjYaTt0n4zZD8qVbIsb+W/t4S82+/VpnZ54zHb/Z1YgXNPgdtw/FML9Jl/EOgMCMN68qS12g8O2D4vdUyvQmZ2deIcTH4GQMA0NC4XqR48MEHJZUXGJKSknT33Xdr9OjREZ3bokULzZ49WyeeeKJ++9vfKhAIyLZtPfTQQ64VKc4880zt2rWrTuf++9//VteuXSPuv3TpUi1YsEBr1qyp9ut9+vTR5MmTNWbMmDrlAwAAAACJxqJm26iZ/ogirIMHD2rNmjXONI8pU6ZEXKCobNSoUZo6daqzfsXatWt18OBB0+nGjW3buuOOOzR16tQaCxSStHHjRt1www2aMWOGSktLXcwQAAAAAADzXC1SrF69WsFg0FmDYvLkyXWONWnSJKWkpEiSgsGgVq9ebSrNiFmWJa/XG/Gtpp1Lqrr33nv15JNPhtw3ePBgXX755frVr36l4cOHh8R688039Yc//MHoYwMAAAAAwG2uTvfIycmRVP7H/fHHH6+0tLQ6x0pLS9Pxxx+vFStWhMR207hx43TXXXcZjblkyRItXLjQabdo0UJz587VsGHDQvplZWVp2rRp2rNnjyTptdde05AhQzRhwgSj+QAAAACAq5ju0ai5OpIiLy/POW7btm2941WOUTl2Q2XbtubMmeO0LcvS/PnzjyhQSFL//v31+OOPO6NJJGnevHkqLi52JVcAAAAAAExztUjRpEkT57iwsLDe8SrHqBy7oXrvvfe0adMmpz127FgNHTq0xv7dunXTpEmTnHZOTo4WL14c0xwBAAAAAIgVV4sUrVu3llQ+YmDDhg31jlc5RqtWreodL97efvvtkPYll1xS6zkTJkyQ1/v9FnJVYwAAAABAg2In4A2ucbVI0adPH+c4OztbH3/8cZ1jffLJJ856DJLUt2/feuUWb36/Xx999JHT7tChgwYOHFjreZmZmTrhhBOc9po1a5SbmxuLFAEAAAAAiClXixQ9e/ZUhw4dZFmWbNvWbbfdpgMHDkQd58CBA/rTn/7k7HCRmZmpnj17mk7XVZs2bVJ+fr7THjRoUMTnVu4bCATistMJAAAAAAD15eruHpL005/+VPPmzZNlWdqxY4cuvfRS3XvvvSGjLML573//qxkzZujbb7+VVL645M9+9rNYpuyKLVu2hLT79esX8bn9+/cPaW/dutVITvXhscyOiUqyAkbjJXvNxpMkX5LfaLxin9kcAyne2jtFEy81si114xWvrKnRcPKWhq/p+lM9Icf+JuH7e0rNv/1aZUGz8QLJRuMpaDg/w/Fs23R+hseG2ubHmtoy+z5jKfz7jFVpeqLl9Ya0q2X4Z2IHDX82Yzg/RbhVecRi8JwBADcY/lMCDYzrRYpf/epXeu6555SbmyvLsrR582b99Kc/1bnnnqvzzz9fgwYNUvPmzUPOKSgo0Jo1a/T666/rrbfeUiAQcEZjtGnTRr/61a/cfhiSytfEuO6665SVlaV9+/ZJklq2bKlOnTpp6NChOuussyKehlK1sHDMMcdEnEeHDh3CxgIAAAAAoCFwvUjRtGlT3X///briiitUWloqy7Lk9/v1xhtv6I033pBUvsBms2bNZFmWCgoKtH//fud827adAkVKSoruu+8+NW1q+CPTCK1fv17r168Pua+goEA7d+7UZ599pvvvv1+nnXaaZs+era5du4aNlZ2dHdJu3759xHlU7Vt5rQ4AAAAAaFAYSdGouV6kkKTBgwfr/vvv1w033KCDBw86a0vY/xuWuH///pDCRAXLspwCRXp6uu6++24NGTLE1dyj9dFHH+mnP/2p/vrXv+r000+vsV9RUVFIOy0tLeJrVO1bNVZEPLUURTxtqz+uQWuf2d1WmnjMPlWTrVSj8SQpOWg2ZtOA2XgBw0P3k/1mp48kB80Oc042/L9biid8vDYt06o9rokvyfyUo2RfmdF43qYpRuNZh0vNxisuMRrPLjWbn8rMTgGz/WbjSZJteMqMapni0rp9y2qPa2R8uofpKTiGv3+mMd2jwYn6NYKj2r5dLIaPxikuRQpJOu200/Taa6/pT3/6kz744AMF//eLklXDfEzbtmXbtjwej0aOHKnZs2dHNdrApMzMTI0cOVI//OEP1adPH7Vp00Y+n095eXlav3693nvvPb388ssq/d8vvIcOHdK1116rp556Sscff3y1MasWFnw+X8T5pKSE/iFRlyKFp13kO614Ml6qtc+8dlGnABw1Hr/9l/FOAUh485b9Kd4pAAntgZV/iXcKiLOzPRfGOwUgLuJWpJDK/9ifN2+eduzYoVdffVWrVq3Sf/7zHx06dCikX/PmzfWDH/xAQ4YM0ZgxY9SlS5c4ZSzdcccdGjp0qJKSjvzWtW3bVm3bttVpp52mSZMmafr06dq0aZMkqaSkRNddd53efvvtagsQJSWhnwhGU6So2re4uDjicwEAAAAgkbBwZuMW1yJFhc6dO2v69OlOu6ysTPn5+c60juRkwyvM18OwYcMi6te1a1c9/vjj+tnPfqbvvvtOkrRr1y4tXrxYl1xyyRH9q46GKI1i2HHVvqmp0U8TCO49NXwHT1tnBEVw3wVSMCds92t3RvZ9itRhv9mnan6Z+ekeBw+bjVlQaHi6R4Hh6R4HDU/3yDc83SPf8HSPWuK1aZnmjKCYOPtp7c8rDNvflx+D6R6HDE/3KDQ8PYPpHvVytEz3qBhBMf2HNyl3T174eEz3qB+mezQ4rdu3dEZQ/HrojbW/RgDgKJQQRYqqkpOT1aZNm3inUW9t2rTRb3/7W82YMcO576233qq2SFF18c9oihRVR2HUaSHRYBSLbQZzau2fW3og+hzCKPKb/QP7YGkTo/Ek6UCx2T9w8g+b/YMzUBj56JxIJBeYLVL4DBcpfHlmfzlPjSLe/rxC5eQWhO3jOxiDbXAPmn0OegvMFgGsIsPxDhsuUpSYjadSs6/hmBQpAoafh1EUAXL35NU+35oiRf1QpGjQInqNAMBRyPCG4ajqxz/+sZo1a+a0165dq8OHDx/Rr2phobAw/Kew4frGa7cTAAAAAKg3OwFvcI3rIylmzZrlHN94441q2bJlneIcOHBAd999t6TyxTb//Oc/m0jPuKSkJA0YMEDLly+XJPn9fu3du/eILUkzMzND2tFsI7p79+6QdrwWFK3MY5n9dCnJYzZesicGn2Ib3q0hOdlsvIDP7PcwkGK2xhlINTuSItDEbLyyWj5k91fK359qqayW63vKzNeIPWVm39Itw586ewOG/4c3nJ/ZZ4z532dM51ce1GzUWkd7eKzQY08t1w+afZ1Yhv8vsQ3nZ3xkhuGfLyMzAABucL1I8fLLLzs7eFxzzTV1LlIUFRWFxErUIoWkI6auHDhw4IgiRY8ePULaFetYRKJqQaN79+5RZggAAAAAQPzFZU0K27Zr3Go0nrFiper0jqqLZEpHFimysrIijr9u3bqQNkUKAAAAAA0Vu3s0bqxJ4YIdO3aEtFu3bn1En169eqlFixZOe+3atRHHX7NmjXPs9Xo1ePDg6JMEAAAAACDOGmyRIlhp2zSv1+wuAybt3r1b//3vf512mzZt1K5duyP6JSUl6bTTTgs578svv6w1fnZ2dki/QYMGVVsEAQAAAAAg0TXYIkV+fr5z3KSJ+e0kTZk/f77sSgtNDR8+vMbpKeeee25I+9lnn601/vPPP69ApS3kRo0aVcdMAQAAACABxHsnD3b3iKsGW6SoGD1gWZYrIwdKS0u1devWqM755z//qRdffNFpW5alyy67rMb+I0eOVO/evZ32q6++qpUrV9bYf9u2bVq0aJHTbtu2rS688MKocgQAAAAAIFHEtUhRlwUvA4GAli1bpgcffNC5r/If9rFSXFysn/zkJ5oxY4Y++eQT+cNss5aTk6Nbb71Vv//970PuHzdunAYMGFDjeZZlacaMGU7btm1dffXVzvallWVlZWnixIkqKfl+X8Tp06crNTU1mocFAAAAAEDCiMnuHiNHjoyo389//vOo1pMoLS3VgQMHQqY3SNKpp54aVX51FQgE9Oabb+rNN99Us2bN1K9fP3Xv3l3p6elKTk5Wfn6+NmzYoLVr16qsrCzk3BNPPFG33XZbrdc444wzNGXKFC1cuFBS+bSWiRMnavDgwRo4cKA8Ho82btyoZcuWhUwjGTNmjCZMmGD2AQMAAACA25he0ajFpEixa9cuWZYV8kd0VbZta8+ePXW+RsUojMzMTJ133nl1jlNXBQUFWrlyZdjpGBV+/vOfa+bMmfL5fBHFnjFjhoqLi/XUU085961evVqrV6+utv/o0aN1++23R5Y4AAAAAAAJKiZFigrVTeeoXLioy3SPivNt21b79u01b948paWl1T3JCKWmpuqqq67S559/rnXr1qm0tDRs/6ZNm+qss87SZZddFnaKR3U8Ho9mz56tU089VfPnz69xO9LevXtr8uTJGjt2bFTx3eA1vLlxkhWsvVMUfN5A7Z3iHDM5ueYpRXVR6jP7cg+mmp0t5i+J/v0gHE+pu/H8TayQ49oej8dvfradx292pyNPwOzr2DIczxOmEF4Xlul4RqPF5kMly286y1quV2n0pOX1ykqq5X0pYPZ91Tb81m95zP7fZAcNvy/YZvNTHX5vc53h1zEAwH0xKVIcc8wxNX7tu+++k1ReoGjXrl3E0z0sy5LP51OLFi3UvXt3nXzyyTr33HOVkpJiJOfa+Hw+XXfddZIkv9+vbdu2afv27dqzZ48KCwvl9/vVvHlztWjRQr169VKfPn3qvTXqiBEjNGLECH377bdat26d9u7dq0AgoMzMTOcaAAAAAHA0Mfx5JxqYmBQpPvjggxq/1rdvX2cExXPPPRe2oJGokpKS1KtXL/Xq1cuV63Xt2lVdu3Z15VoAAAAAAMRLXHb3CLdWBQAAAAAAaJxiuiZFdcaPH+8cN23a1O3LAwAAAAASGZ9pN2quFynuvPNOty8JAAAAAAAagLhM9wAAAAAAAKjK9ZEUdZWbm6tdu3bJ5/Opc+fOTBUBAAAAgKOQ6W3B0bDEpUgRDH6/b7fHE34wx1dffaW//OUvWrNmjbPgZnJyss455xzNnDlTGRkZMc0VAAAAAAC4w/XpHo8//riOO+44HXfccRo+fLhKS0tr7Pv555/rsssu0+rVqxUMBmXbtmzbVmlpqd58802NGzdOO3bscDF7AAAAAAAQK66PpHj33Xdl27Ysy9IFF1wgn89Xbb/i4mLdcMMNKi4ulmVZsizLGUlRcbxv3z5dffXVevXVV2sdkQF3eQwvyZvkCRiN5/P4jcaTpJQkszFTksw+5lKf2fxKUrxG4wWamH0N+8uMhpPHb4X9eqBJ6HFt14/BU1Aev9nvoRUw/F+E4ZGbSYaHgpr+XyT8Myb+8STzi6fXlqOVnBRyXLldHbfzi5Ztm41oyez7vh1sAL8b2cHa+0TDMvxTZsg5EB+89Bo1V//3Kisr01dffSXrf/+BnHnmmTX2ff7557V3716nIJGamqozzjhDZ599tpo2berE2Lx5s1588UVX8gcAAAAAALHj6kiK//73vyorK/94MTU1VYMGDaqx78svv+wUKNq1a6fnnntOHTt2lCTt3btXl112mb799lvZtq3FixdrwoQJrjwGAAAAAAAQG66OpKhYP8KyLHXv3r3GKRq7du3Sxo0bnb7XXHONU6CQpHbt2ummm25ypn9kZWVp3759Mc4eAAAAABBrlp14N7jH1SJFTk6Oc9y+ffsa+61cuVKSZNu2fD6fzj///CP6DB8+XK1bt3ba69evN5gpAAAAAABwm6tFiqKiIuc4LS2txn6rV6+WVD6KYujQoUpNTa22X9++fZ3jXbt2GcoSAAAAABA3dgLe4BpXixTBYLDa46rWrFnjHA8dOrTGfq1atXKOCwoK6pkdAAAAAACIJ1eLFJVHT+Tl5VXb5+DBg9q8ebPTHjx4cESx/f4Y7OcHAAAAAABc4+ruHm3atJFUvtbEpk2bqu3z8ccfOwtier1eDRgwoMZ4hw4dco6bNGliMFMAAAAAQDywUGXj5mqRok+fPs7xvn37tHbtWp1wwgkhfV577TVJ5etR9O/fv8b1KCRp9+7dznFGRobZZFEvHsPvLMmqeXpQXSR5zMaTpBSv2dE8KUlm45X4vEbj+VPMvn0EyizD8Qw/Xn/4/Pypocf+svDxrFri1YUVMBzPNjvYzrLN/kwsO9loPNNMD1W0rBg8ZwzHtEtKw3dISg49TvaF7W5ZZr+LtuFRl1bA7IvO9O/klunf8m3z/3faQcOvFNM5xuB1F/H1LKv269v8JQfg6OPqdI8ePXqoffv2sixLtm3rtttuCxkN8a9//UsfffSR80vT6aefXmOskpISbd261Wl36tQpZnkDAAAAAIDYc3UkhSSNHTtWDz30kCzL0vr163X22Wfr5JNPVm5urlavXu0UMJKSkjR27Nga46xevVqB/32C4fF41LNnT7ceAgAAAAAgVhgk1Ki5OpJCkqZMmaK2bds67by8PP373//WF1984RQdLMvST3/6U3Xs2LHGOO+9957Tt3v37mG3NAUAAAAAAInP9SJFs2bNtHDhQrVu3Vq2bR8xH9a2bR1//PGaNWtWjTFKS0v19ttvO+eecsopMc0ZAAAAAADEnuvTPSSpb9++euutt/TII4/ogw8+0HfffSdJ6tatm84//3xdcskl8vlqXkzrrbfe0v79+532iBEjYp4zAAAAACD22N2jcYtLkUKS0tPTdf311+v666+P+tyTTz5Zr7zyitNmPQoAAAAAABq+uBUp6qNDhw7q0KFDvNMAAAAAAAAGNcgiBQAAAADgKMV0j0bN9YUzAQAAAAAAqsNICsSExwqajmg0ms/jNxqvPKbXaLwmyWVG45UGzObnTzGbX7Hfqr1TFAIBs/GsWuIFmtghx/5A+I8AaotXF1bQcEzTn2LYZp+DptmW2e9fkuF4lsf85wqWx3COtTxmK8UXcmylpoQPWGb4MRt+vCozHM/wc0b/29rdFNuOwfuWzOYomX2fsYOG3whtw78fmX7OmGbzcTiA6FGkAAAAAAAkDHb3aNxcL1JcdtllxmNalqUnnnjCeFwAAAAAAOAe14sUK1asqHU4aDRs2zYaDwAAAAAAxEeDm+5hV5rbRnECAAAAAI4yrGfSqMWlSGHX40lXUZiwbbtecQAAAAAAQGJxvUixYcOGqPoHg0EdPHhQmzdv1pIlS7R48WIdOnRI6enp+utf/6pTTz01RpkCAAAAAAA3md/PzDCPx6NWrVpp6NCh+t3vfqd//etfOvHEE3Xw4EFNmzZN7733XrxTBAAAAAAYYtmJd4N7Er5IUVVGRoYefvhh9erVS36/XzfccIN27NgR77QAAAAAAEA9NbgihSQ1bdpUM2fOlCQVFxdr7ty5cc4IAAAAAADUV4Pb3aPC8OHDlZGRoX379undd99VQUGBmjVrFu+08D9ew2OivFbAaLxY8Hv9RuOVBs3Ga5pcZjSeP2C2xun3m41XZji/QCD8bkKBJsGQ40AwGKa3ZNkxqBHbhnc8Mh3PNMtrNJxtescow+G8XvM/D4/pmJ7wz2s71RdybDdJCdvf8pp9nZjeFcz2mH0OWn6z7/u24XhWIAb/F5v+mQTCv/dGy/KYjWcHa3lOW57QY8vlzxNts4/X9M83JliIPzHxY2nUGuRIigrHHXecJKmkpESrVq2KczYAAAAAAKA+GnSRokWLFs7x7t2745gJAAAAAACorwY73UOSDh065Bzn5+fHMRMAAAAAgAmW4ZlHaFga7EiKQCCgtWvXOu3mzZvHLxkAAAAAAFBvDbZI8cwzzygvL89pH3vssXHLBQAAAAAA1F+Dm+5h27aeeuop3X333bIsS7ZtKzU1VUOGDIl3agAAAACA+mJ3j0bN9SLFK6+8EvU5fr9fhw4d0ubNm/XRRx9p3759sv+3XZBlWbr44ovl8/lqiQIAAAAAABKZ60WKmTNn1muf8srFCdu21b17d/361782lR4AAAAAII4sRlI0anGb7lFRbIhURWGjojhh27ZOOOEE/f3vf2fRzATkMTxGy2N6id8YrMaS4vUbjdfULjUazx80+6DLfGbjmc7PNhzPX8tT0E4NhhzbwUD4eLH4z9c2/cSue0G5+nCm45kNZ3sMPwe9Zv+LTfIafsCSkrxmH7Onlu9hsGlqyHEwLfz7nCfJaySvCpbhn7FVZvZ9X2WGX8OGf77yG368kuyA2f/fLU/4995o2QGz8axa/vKyvN6Q48rtatmmt0Aw+5qzgzH4z870Yzb9fxOAeotLkSLaAkXlc7xer0444QRdeOGFGjNmTK2/EAEAAAAAgIbB9SLFnXfeGfU5Xq9XzZo1U5s2bdSnTx+lpqbWfhIAAAAAoOGpw4faOHq4XqQYP36825cEAAAAAAANAHMlAAAAAABAQojbwpkAAAAAAFTF7h6NGyMpAAAAAABAQqBIAQAAAAAAEkJMpnscOHBAl1xyiUpKSiRJqampevDBB9W5c+d6xd2xY4euvPJKJ27Tpk313HPPqVmzZvXOGQAAAACQAJju0ajFZCTFgw8+qK1bt2rXrl367rvvNGnSpHoXKCSpc+fOmjRpknbt2qVdu3Zp8+bNWrhwoYGMAQAAAABAvBkfSZGXl6fnnntOlmVJks4991xdcMEFxuL/9Kc/1ccff6y3335btm3rySef1JQpUxhNkWA8VtBwPLPl1CQFjMaTJJ/HMhov4DUbz59ktiYZsA3HC5qNZ9tmv3+Ha/m6t4k/aumcvQAAcYBJREFU5Ngrf5jeisEzULVcsQ4sw3Vsy+zPxDb8mrO9RsMp6DUbMJhk9vFKUjDZ7M84uZYcA82SQ44Dxb6w/e3DZvPzJJv9mVjFZWbjlRrOr8zsu4JdZvbxSpLlN/zOFTD8vhUw/MYQCP/ubyV5Q46t5Fp+VQ+a/X3LDpiNZ3nMxitn9mdiB/nIHkg0xkdSvPXWWyotLZVt2/J6vfq///s/05fQjBkzlJSUJMuyVFxcrH/961/GrwEAAAAAcJ9lJ94N7jFepHjzzTclSZZl6fzzz1eXLl1MX0JdunTRT37yE9l2+bPljTfeMH4NAAAAAADgLqNFirKyMn311VdOe9SoUSbDhzj33HMlSbZta+3atQrUMnwOAAAAAAAkNqNFik2bNqnsf/MVU1NTNWzYMJPhQ5xyyilKTU2VJJWWlmrTpk0xuxYAAAAAwCW2nXg3uMZokWLbtm2Syqd6dO3aVT5f+AWx6iMlJUXHHnvsEdcGAAAAAAANk9EiRX5+vnOckZFhMnS1Kl8jLy8v5tcDAAAAAACxY3QL0kOHDjnHrVq1Mhm6Wi1btqz22gAAAACAhondNBo3oyMpLOv7/dHdKBoUFBRUe20AAAAAANDwGC1SpKWlOccHDhwwGbpala9R+doAAAAAAKDhMTrdo0OHDpLKtwXdsmWLAoGAvF6vyUs4/H6/Nm/e7LTbt28fk+tEY/fu3fr666/13XffqaioSCkpKcrIyFC3bt3Ut2/fOi8kun37dmVlZWnPnj0KBoPKzMxUr1691Lt3b8OPIHElW2a3mA0qBiNvjJb8zAvaZhM0H69hj4ZKTS0LOW6i0rD9i2OQg9/wt9Bv+DltW2YD2klmH7DpeEGj/8NKwSTzbzLBZMOP2Rc+Xml6UshxiT85bP+kFLO/Q3iLDMdLNhvPKjb7pLFKy2rvFE28MsNPakkq8xsNZ5cZfsymt7j3h3+8li855Lhyuzp2IGgkLeeaHsOPN2g2P6n87wyTLNPzCmzzj7lRYrpHo2b0f5tevXo5x4WFhVq9erWGDh1q8hKOtWvXqrCwsNpruykYDOq1117Tk08+qXXr1tXYLzk5WYMGDdLUqVN16qmnRhR76dKlWrBggdasWVPt1/v06aPJkydrzJgxdcodAAAAAIBEYvRjmc6dO6tNmzbO+hAvvfSSyfAh/vnPfzrHrVu3VpcuXWJ2rZrs3LlTP//5z3XjjTeGLVBIUllZmVasWKHPP/+81ri2beuOO+7Q1KlTayxQSNLGjRt1ww03aMaMGSotDf+pLQAAAAAAic74uL0zzjhD//jHPyRJr732mn71q18ZH+Xw3//+V6+++qpTDDnzzDONxo80hyuuuEI5OTnOfZZlaeDAgerbt6/atGmjkpISZwrIjh07Io5977336sknnwy5b/DgwRowYIC8Xq82btyoZcuWOcPd3nzzTXm9Xt1zzz1mHhwAAAAAxAm7ezRuxosUF110kf7xj3/IsiwFAgFdd911euaZZ5Senm4kfn5+vmbMmKHg/+a4WZaln/3sZ0ZiRyo3N1eTJ08OKVCcddZZmjVrljp16lTtOZs2bdJLL72k5s2bh429ZMkSLVy40Gm3aNFCc+fO1bBhw0L6ZWVladq0adqzZ4+k8oLQkCFDNGHChLo+LAAAAAAA4sr4KlwDBw7UsGHDZNu2LMvSli1bNHXqVO3du7fesXNycjR16lT997//lWVZsixLJ598so4//ngDmUfujjvucIoDknTVVVfpgQceqLFAIUm9e/fWzJkzdeWVV9bYx7ZtzZkzx2lblqX58+cfUaCQpP79++vxxx9XSkqKc9+8efNUXByL5fgAAAAAAIi9mOxH8Ic//CHkj+cvv/xS559/vl555RUF6rBKciAQ0CuvvKKf/OQn+vLLL2VZlmzbls/n0+zZs02mXqtly5bpjTfecNojR47UddddZyT2e++9p02bNjntsWPHhl14tFu3bpo0aZLTzsnJ0eLFi43kAgAAAABxEbQT7wbXxKRI0bNnT82ePTtki6CDBw9q1qxZGjFihP72t79p+fLlOnToUI0xCgoKtHz5cv3tb3/T6aefrlmzZungwYPO1y3L0u9//3v17NkzFg+hRg8//LBznJycrFmzZhmL/fbbb4e0L7nkklrPmTBhQsg2r1VjAAAAAADQUMRgw+tyF154oQ4cOKC//e1vzgKXtm1r3759evjhh/Xwww/Lsiy1adNGLVq0cNZqKCgoUH5+vvbt2+cUOSr+rRznN7/5jS6++OJYpV+tHTt26LPPPnPaI0aMUOfOnY3E9vv9+uijj5x2hw4dNHDgwFrPy8zM1AknnKBVq1ZJktasWaPc3Fy1bt3aSF4AAAAAALglZkUKSZo6dap69OihWbNmKT8/P6TIUPFvTk6OcnJyjvhaZZW/1qxZM9155506++yzY5l6td56662Q/M477zxjsTdt2qT8/HynPWjQoIjPHTRokFOkCAQCWr16tc466yxjuQEAAACAa5hd0ajFtEghla/Z8M9//lP33HOP3nvvPQWDQafoUJ3qvmbbtjwej84++2z99re/VZcuXWKZco3Wrl0b0j7xxBONxd6yZUtIu1+/fhGf279//5D21q1bjeRUHx7D+wYlejxJ8lRTYEskQW9MZnclLNM/Y6uWeGkpJSHHzVQSpnft8eqi2HDMMo/ZeP5KU9NMsJPMPqeDSTX/35QQ8Xxm45XHNBsv4Av/My5t7g05LvGH7x8w/JiTfGafM95is89pb7HZX8tMx7NK/UbjSZJVYjamVWr4V1t/9GuphVVWFvbLVqU13ayUFFmpqeHjBYImsvqe3/DPuA5r0bke0/Tvb0HDPxMclfLy8rR69Wrt2bNHBQUFateunTp16qRBgwaFTOWPtYKCAv33v//V1q1blZeXp7KyMrVo0ULt27fXCSecELfR+TEvUkhS586dNXfuXH377bd6/PHH9cknn2jHjh0RndupUyedeuqpuvzyy3XsscfGNtFa/Oc//3GOMzMz1a5dO0nSt99+q5deekmffPKJdu/ercOHD6tVq1bq1q2bhg8frrFjx6pNmzZhY1ctLBxzzDER59WhQ4ewsQAAAACgoYjBZzkJYdu2bbr33nv14YcfqqyaomXbtm118cUX68orr5TPZ/iThP/5+uuv9e9//1vLli1TVlaWgmEKawMHDtTll1+u8847L+xAA9NcKVJU6Nq1q26++WZJUnZ2tlatWqW9e/cqLy9PeXl5kqT09HS1atVK7dq10+DBg9W+fXs3U6zRoUOHQrZR7dy5s/x+vx588EEtWLBA/iqV56KiIu3atUuffPKJ7r//fk2ePFlXX311jT/c7OzskHY0j7tq38rbowIAAAAA4uvVV1/VLbfcoqKiohr75OTkaN68efrggw90//33q1OnTkZzuOKKK7Rs2bKI+3/11Ve6/vrr9Y9//EN333238yF9rLlapKgsMzNTo0ePjtflo1ZRRKmQkZGh3//+93r11VdrPbeoqEhz587Vhg0b9Le//U1JSUd+26s+WdPS0iLOrWrfcE/8GnlqKYp42lZ/XIOWyWaHBvk85oeYmha0zVYXS4NmX56pnmSj8Zp4zcZLscxWi03n19QKH69NSvNqj2tSZPjxSlKJzD7mMo/h/yIMTznyegzHMzw9w3S8pBh8oOL1mf2oKqmWkelt0tOqPa6Jt4nZYdNJxWYfr7fEbH6eErPD2L3Gp1KYH7pvegqJVWb49wXT0z1qmU7Rql2Lao9rYpue7hEwPd3D/NQHO9Gne9jmHvO+XQeMxUJ8LV26VDNnzgwZtXDsscfq5JNPVsuWLbV9+3YtWbJExcXFkqSsrCxdeeWVeuGFF9SsWTNjeeTm5h5x3zHHHKMTTjhB7dq1U9OmTbVv3z6tWLFC33zzjdNn+fLlmjhxop555hm1atXKWD41iVuRoqGpul3qp59+6tyXmpqqiRMnavTo0eratavKysq0ceNGvfjii3rttdecxTb//e9/a86cOfrd7353RPyqhYVohvekVJq/WF2sSHjafRx534yXau1zmztFNiAhPT7smninACS8J2+pfZttoDGb+68jf19E4/LjppfGO4X4SfC13qKxd+9eXXfddU6BwrIs3Xjjjbr88svlqfSBS25urn7zm99oxYoVkqTNmzfrj3/8o+bMmWM8p4yMDI0fP14//elP1a1btyO+btu23nnnHf3xj3/UwYMHJZWvoXjzzTdr7ty5xvOpqnGtpFcPVf/wryhQtGzZUs8//7yuu+469enTR6mpqWrevLlOPPFE3X333br77rtDnnyPPvqoNmzYcET8kpLQRfaiKVJU7VtRgQMAAAAAxM+CBQtUWFjotK+55hpdccUVIX8jSlLr1q31yCOPqEePHs59b731lrKysozl0rp1a82cOVNLlizRb3/722oLFFJ5IWXUqFF67LHH1KRJE+f+d955R1999ZWxfGrCSIoI1VQ0uO2228LuxDFmzBj95z//0RNPPCGpvCr16KOP6u677w7pV3U0RGlpacS5Ve2bWttK0NUI7j01fAdPW2cERXDfBVIwJ2z3W/YOjDqHcJjuUX/FAbNTAYqDZuMVlpkdy15k+PEWldY+3aNiBMXE5fdrf8mhsP2LSmMw3aPY8HSPEsP/RZQYnp5x2PRODYanexw2PN0jBvVn72HD0z1qybFNepozguKyW57R/oOFYft7i5nuUR9M9zAgDtM9KkZQXHvu3TqwNz9sf6Z7mAiYuNM90PDt27dPixcvdtpdunTR1KlTa+yfkpKim266SRMnTpRU/rfjggULdP/99xvJZ+HChdUuPVCT4447TpdffrkefPBB57533nlHAwea/VuvKooUEapujYgePXroxz/+ca3nTp06Vc8++6yzguuHH36oYDAYUj1r2rRpyDnRFCmqjsKoGisiwSgW2wzm1No/r8zsIi8pjbBIUWK4SHE4YPaP4sOGiwAFZSm1d4pCod/s4y2Ioqiwv+SQ9paE/8WysMR8kaL4sNmYZYa3L5Tp7RqLTBc9DBcVigzHO2w0XHnMIsNFiihy3H+wUHsPFNQSz3CRwnBRxltsuKhgPJ7pIkVD2II0/BafUXN5C9LKDuzN177deWH7GC9SNIAtSBO+SMEWpEYcLbt7vP/++yG7eFx00UVKTg7/O/SwYcPUvXt3Z8fGpUuXqqioqG5/41URTYGiwnnnnRdSpHBjJAXTPSJUXZHijDPOiOjcjIyMkGrTwYMHtXnz5pA+VZ90lYcE1aZqXxNPYAAAAABA3X3wwQch7VGjRkV0XuUPwktKSvTpp58azSsaXbt2DWnv378/5tdkJEWE2rRpo+Tk5JBKWK9evSI+v3fv3lq1apXTzs7OVu/evZ12ZmZmSP9othHdvXt3SDsRtm31ymwVOdkyX4k3zr2tgxOCx0rsTwpM5+dR+JJ+M19pyHGxXRKmt+SJwUcEXsMxD3vNfg/L6lC9DyfgNRsvmGy2bm86XiDF/JuM6Zj+WmYblqRbIcfFtbxxJqWa/R4mNam9T1TxjE/pMTza6LDheCVmR9BJksfwSAqP4al0xkeP1DLSw27aJOTYbhZ+ZK1lfKSH2cdrmx6ZIckyPZLC+JSZBvA7K1xT+e+/jIwMde7cOaLzBg0aFNJeuXKlzj77bKO5RarqB+J1GY0RLUZSRCg5OVldunQJuS89PT3i86v2rVgltULlBVIk6bvvvos4dtWCRvfu3SM+FwAAAAASip2AtyhlZ2eH7BAZbh3Dqvr37x/S3rJlS/QJGLJx48aQthsfiFOkiELPnj1D2vVZ3LLqQplVixTRrOK6bt26kDZFCgAAAACIn4o1JSocc8wxEZ+bkZERsnbFtm3bjOUVrddeey2kfcopp8T8mhQponDSSSeFtLOzsyM+t+poh1atWoW0e/XqpRYtWjjttWvXRhx7zZo1zrHX69XgwYMjPhcAAAAAYFbVvxWjGYFgWVbIcgDR/N1p0jfffKPXX3/daXu9XlemnVCkiMJZZ50ly/p+/unq1asjOs+27ZCig9frVd++fUP6JCUl6bTTTnPau3fv1pdffllr7Ozs7JB+gwYNUuvWrSPKCwAAAAASjWXbCXeLVlFRUUg72s0NKm/c4Pf7j9jRMdaCwaBmz54dsibjuHHjIl5Xoz4oUkShffv2IaMUPvjgA+Xm5tZ63ieffBKyxsTAgQPVrFmzI/qde+65Ie1nn3221tjPP/+8ApUW6Il0xVgAAAAAQGxULVJUne5fm6r9o9n90YQHHnhAK1eudNqtW7fWb3/7W1euTZEiStdcc41zXFJSoj/96U9h+xcWFuqOO+4Iue/SSy+ttu/IkSNDdvx49dVXQ54YVW3btk2LFi1y2m3bttWFF14YNh8AAAAAQGxVHflQeY2JSPh8obsVuTmS4r333tMDDzzgtC3L0h133OHaiH2KFFEaNmyYTj/9dKf91ltv6cYbbwxZubXC9u3bdcUVV4QsdDJgwIAjRkxUsCxLM2bMcNq2bevqq6/W8uXLj+iblZWliRMnhjxZp0+frtTUWvZ/AwAAAIBEFkzAW5SqjoSoPG0iErVtvBArq1at0vXXXy+70hSX6dOn68wzz3Tl+pIU+01Oj0J33323Lr74Yqf48Morr+j999/Xqaeeqi5duqisrEybNm3SZ599FvJkbN26tebOnSuPp+ba0BlnnKEpU6Zo4cKFkqT8/HxNnDhRgwcP1sCBA+XxeLRx40YtW7Ys5IkzZswYTZgwIUaPGAAAAAAQqaprUEQ7EqJq/8prVMTKxo0bddVVV6m4uNi57+c//7mmT58e82tXRpGiDtLT0/XII4/o2muvdbb/PHTokN56660az+nevbseeuihiLaemTFjhoqLi/XUU085961evbrGhTpHjx6t22+/PcpHAQAAAACIhapFimjXlKjcPykpKeYjKbZv365JkyYpPz/fuW/06NH64x//GNPrVociRR116tRJL7zwgh599FG98MIL2rVrV7X92rVrp8svv1y//OUvI56K4fF4NHv2bJ166qmaP39+jduR9u7dW5MnT9bYsWPr+jBixmNFvwJuOF6rDmOswvDIbH6x4PUafsyGfybmf8Zm4yV7ArV3ikKSJ/zPo7kvpdJxscp0OGx/by3x6iLZcMzkJLPfw8NRzsWsTUmS2cfr95n9L9Hv8xqNF0g1P0MzkGLV3ikKSanh45U2r3ScLpXW8pACTczm5y+uvU80vMVmfyZJ4d82oo9XYji/YvPvW54Ss6+7pGKz71ueEsPxSn1hvx5MbxJyHCzxh+1vlYb/erSsMrOPV2Vm85Mky3RMv+HHHDAcr5Gqy24aiabyFqJSdNuI2rYd0r9qLNOys7M1ceJE5eTkOPedeuqpuvvuu8POAogVihT1kJycrCuvvFJTp07V119/rW3btiknJ0eWZal169bq16/fEVuNRmPEiBEaMWKEvv32W61bt0579+5VIBBQZmamevXqpT59+hh8NAAAAAAAE3r06BHSrulD7ers27cvZNmA7t27G8urqtzcXF1xxRUh+Z144omaN29e1It9mkKRwgDLsjRw4EANHDgwJvG7du2qrl27xiQ2AAAAAMCsdu3aqXnz5s4GC+vXr4/43KysrJB2rIoUBQUFmjx5srZs2eLcd9xxx+mhhx6K64YM7O4BAAAAAEgcdgLe6mDIkCHO8f79+7V9+/aIzqu6FuHQoUPrlkAYxcXFuvLKK501FiWpZ8+eeuSRR9SsWTPj14sGRQoAAAAAAAwbOXJkSPvtt9+O6Lx33nnHOU5JSdHw4cON5lVWVqZrr71WX3zxhXNfly5d9Oijj6p169ZGr1UXFCkAAAAAADDszDPPDFnXYfHixSFrTVRn+fLl2rZtm9MeMWLEETuF1EcwGNSNN96opUuXOve1b99ejz32WMwX6IwURQoAAAAAQOKw7cS71UFGRoYuuugip719+3Y9/PDDNfYvKSnR7bff7rQty9K0adNq7L9z50716dPHuZ155pm15nTLLbfozTffdNpt2rTRY489pk6dOtV6rlsoUgAAAAAAEANXXnml0tLSnPb999+vxx57TMFg6LbOubm5mjx5sjZv3uzcN3r0aPXv399YLnPmzNELL7zgtNPT0/Xoo4/GdPeQumB3DwAAAAAAYiAzM1Nz5szRtGnTFAwGZdu27rrrLj3//PM65ZRT1LJlS3377bdasmSJiouLnfN69uyp2267zWguDz30UEg7Pz9fF1xwQdRxqu4+YhpFCgAAAABAwrDquJtGojr99NN155136pZbbtHhw4clSd98842++eabavv369dP8+bNi/kuG7ZtKxAIxPQadUGRAjHhMfzO4qnrvj81SLYS78UYax5PYn8PSwzHSzIeLxj26y2SSkKOA3ZxmN61x6uLVG/4hZiileJNMRrP5zX7Mzmc5Dcar9iXXHunKJQajhco9RqNJ0n+FLMxA6VW2K+Xpn3/HChtGVBJcvjnhLfY7KxUT0ntfaKRdDj8442W33B+3hKz+XmLzcaTJK/pn0mJ2ee0t8Tse7W3JPz/xaWtUkOOS4Lh3+e8JWbfVz2m45Wa/33LKjMb03Q8lZn9vwlHj3HjxmngwIG69957tXTp0moX0Gzbtq0uuugiXXXVVfL5fHHIMjFQpAAAAAAAJI46LlSZ6Lp3764HHnhABw4c0OrVq7Vnzx4VFhYqIyNDnTt31uDBg+X1Rl5s7dSpkzZu3Bhx/2j6xhNFCgAAAAAAXNKqVSuNHDky3mkkLHb3AAAAAAAACYGRFAAAAACAhBGDpbvQgDCSAgAAAAAAJASKFAAAAAAAICEw3QMAAAAAkDiO0t09EBlGUgAAAAAAgITASAo0CMlWwGw8j99oPEnyKrErvsky+5jLgmbfPoz/jF2O1yypSaXjYgXsw2H7p8TgOXg4kGw0XqrXbI5NksqMxjucbPbxHvYZjpdiNl5xmfn/sktSzcYMlIXf291q8v1zwEovk+UrDdvfXxL5XvGRsAzH85dYRuN5Sw3HKzYbz2P48UqSt8R0PMPfQ+Pxwn/9cKvvX5OH2ySpyBP+NeotNfuc9paa/V3GW2J+9UPTMT2lhuOVmf39A2iMKFIAAAAAABJHYn/2hxhjugcAAAAAAEgIFCkAAAAAAEBCYLoHAAAAACBhWOzu0agxkgIAAAAAACQEihQAAAAAACAhMN0DAAAAAJA4mO7RqDGSAgAAAAAAJASKFAAAAAAAICEw3QMx4VXQbDzLbLxkK2A0niR5ldjD0pJNx/Oa/R6W2V6j8Uz/jFM8/rBfb+4tCTm27eKw/cvsMiN5VdbEa/Yt/XDAZzReWlKp0XiHA2af1cUBs9+/Ir/Z799hv+lXsVScavYxl5SFj9e80vWatzisw76iesWLVlmp2Xj+MrPvW2UlhuOVWUbjeUrMf7blKTGbo9fs24z5/Gp56z/c4vvrHW5nqSg1/PWN51di9ncZb6n554y31HSORsPJW2r2d9ZGi29jo8ZICgAAAAAAkBAoUgAAAAAAgITAdA8AAAAAQMKw2N2jUWMkBQAAAAAASAgUKQAAAAAAQEJgugcAAAAAIHEw3aNRYyQFAAAAAABICBQpAAAAAABAQmC6BwAAAAAgcTDdo1GjSIGY8Fhm31g8VtBoPK/Mv/ElW36j8Ux/D00L2pbReMlWwGi8oOGfR0DhH2+zpKbOcfOkw7JUFLZ/me01kldIzKDZt/Sm3lKj8cqCZh9zieHHezjoMxqvJGA4v0Cy0XiSVGw4x+JacszwfT+As11agTzJh8L2N/09LPYbjldmNl6p4fxKS83GC/jNv2/5S80O6jUdzyozHK80/P8lh5t9//vO4XZBFTUN//uPp5Z40TL8tm88P0nylCX6Y2agOlBfvIoAAAAAAEBCYCQFAAAAACBxmB1EjQaGkRQAAAAAACAhMJICAAAAAJAwLBbObNQYSQEAAAAAABICRQoAAAAAAJAQmO4BAAAAAEgcTPdo1BhJAQAAAAAAEgIjKRATXsvsvkFema2mJlt+o/HKYwaMxjP9PfSY3svJMhsuaLhmGrANx6slvyaespDjoKc0bP+gbfgbKCngMfuYy2xvYscLmv0vrMwuNhqvxHh+Zr9/kvkca4vXKvn742OaHlST5ANh+x8OJIf9erRKDT/eYr/Z/IoDhn8ehuOVBsw/B4vLDOfoNxvP7zf8vlUWPp7V5PvnlNW2RFaz8O9LgTKz7/t+w/HkN/95qFVq9v9PT1lixwMaI4oUAAAAAIDEwXSPRo3pHgAAAAAAICFQpAAAAAAAAAmB6R4AAAAAgMTBdI9GjZEUAAAAAAAgIVCkAAAAAAAACYHpHgAAAACAxBGMdwKIJ0ZSAAAAAACAhECRAgAAAAAAJASme6BB8Fhmx3x5LPMrBidbfqPxvIZz9Cb4uDmPVWY0XtB2twbbxFPsHDfzFMvrORy2fyAGNeKAbRmNFzScY8DwzyTgNRuvzPY2qniSVBY0+2tAbTm2SPr+epm+Q2riOViveNEyHa/E8Pev1HC8koDheIbzk6TSoNmfSXEg2Wi80oDh50wtP5O2Kd//X31Mm4NKLgn/GjGdX6nf8HPab/59yx8w/N5fZjbHoOGfSWNlsbtHo8ZICgAAAAAAkBAoUgAAAAAAgITAdA8AAAAAQOJgukejxkgKAAAAAACQEChSAAAAAACAhMB0DwAAAABA4ggy3aMxYyQFAAAAAABICBQpAAAAAABAQmC6R4Lbvn27srKytGfPHgWDQWVmZqpXr17q3bt3vFMDAAAAAPPY3aNRo0gRoUsvvVQrVqyod5zp06frmmuuqbXf0qVLtWDBAq1Zs6bar/fp00eTJ0/WmDFj6p1TLHhk9o3Faziez/IbjVceM2A0nscKGo1n+nvoNZyfR2bjyTIbrjapVolz3MQqkeUpCdNbCjaAgWwBO7FzDBj+IQcNP96A4Z9xwDb/pC6zzf4aUNtjTktKdo7b+fKV5skL2z9o+DGbfrxltpd49Y0ZTOwcTccrDYZ/DrZMLnWOe7bIUUbZgbD9SwKmn9Nm37dqe7x1ihlw92cSLdM/E6AxSuzfQI9CTZs2Dft127Z1xx13aOrUqTUWKCRp48aNuuGGGzRjxgyVlpbW2A8AAAAAgIaCUl+EPB6PvN7oK7eBwPefrluWpXPOOSds/3vvvVdPPvlkyH2DBw/WgAED5PV6tXHjRi1btkz2/4ZAvfnmm/J6vbrnnnuizg0AAAAAEg7TPRo1ihQReuKJJ6I+591339X06dOd9oknnqjOnTvX2H/JkiVauHCh027RooXmzp2rYcOGhfTLysrStGnTtGfPHknSa6+9piFDhmjChAlR5wgAAAAAQKJgukcMvfTSSyHt8ePH19jXtm3NmTPHaVuWpfnz5x9RoJCk/v376/HHH1dKSopz37x581RcXGwgawAAAAAA4oMiRYzk5ubq448/dtpNmzbVqFGjauz/3nvvadOmTU577NixGjp0aI39u3XrpkmTJjntnJwcLV68uJ5ZAwAAAECc2Xbi3eAaihQx8vrrr6usrMxpn3POOUpLS6ux/9tvvx3SvuSSS2q9xoQJE0LWyagaAwAAAACAhoQiRYy8/PLLIe1wUz38fr8++ugjp92hQwcNHDiw1mtkZmbqhBNOcNpr1qxRbm5u9MkCAAAAQKII2ol3g2soUsTAxo0btX79eqfdsWNHnXzyyTX237Rpk/Lz8532oEGDIr5W5b6BQECrV6+OMlsAAAAAABIDu3vEQNVRFGPHjpVlWTX237JlS0i7X79+EV+rf//+Ie2tW7dGfG4sea2g0Xge0/FkNp5kPkefFai9UxSSLb/ReF4ldkU5Fj/jcFIqfX9TLL9klYXp3UDU/LaVEIIJXmcPJPo3UFLANvs9rO1n0sSb6hxneA8pTflhepvPz/TPJGg8P8PxbMOPNwavuVLb7K+iQcOP2fTPpMwOv519s6Tv/y/p3iRHBcn76hUvWqaf06bzi0XMsqDheDF4zEBjQ5HCML/fr9dffz3kvnBTPaQjCwvHHHNMxNfr0KFD2FgAAAAA0KDY7n7YhMSS2B9DNUAff/yx9u37vup94oknqkuXLmHPyc7ODmm3b98+4utV7btnz56IzwUAAAAAIJEwksKwaBbMrFBUVBTSDrcLSFVV+1aNFTFPLYURT9vqj2vQPKlN3fKoQVpSE6PxmnqKjcaTQof7m2B6ukeS4XiJPt3Dcnu6hzej2mPEjp3gdfaGMd3DbI61/UxSK702UiN4nST8dA/Dz8Gg4fwawnSP5ISf7mE2nr+WqQBpSa2rPa5rvGiZ/v7FYuqD6cdcZvh9xmR+B8tYEB+NE0UKgw4ePKglS5Y47SZNmmjUqFG1nle1sODz+SK+ZkpKSthYkfK0+zjyvhkv1drnunZ1SgM4Kvyw0+J4pwAkvDM6PxPvFICEdkm3B+KdAuLs+rUXxTuF+LET+8MwxFZifwzVwLzxxhsqLS112uecc46aNWtW63klJSUh7WiKFFX7FhebHyEAAAAAAIAbGElh0CuvvBLSjmSqh3TkaIjKhY7aVO2bmppaQ8/wgntPDd/B09YZQRHcd4EUzAnb/b7cHnXKoybpSXWcxlKDZkz3qDeme4RK8WY4IyiW7bxQJYHwK7Kj/pjuUX/xmO5RMYJiyY5LVFzL64TpHvXTEKZ7lDHdI0RaUmtnBMUz236tQn/44f5M96i/RJ7uATRWFCkM2bJli7766iun3bFjR51yyikRndu0adOQdjRFiqqjMKrGilgwigU3gzm19j/kb1m3PGqQpEKj8Tyew0bj6f/bu/OwqKr/D+DvYViUXWURAVEQcEkS19SKXDJzwVxyyUxUXFNz66vWzxYzNZcsMVvMNFHD3DW3cs3U3HALFxAVEFlUFp1B1pnfHz3cuMMMzMAdGOD9eh6eh3M5594zwz1z73zuWQCozKRdcrKAS5CWS0UvQVpUTsEj5BSklJ6RyoVLkJZfRS9BWlR2wSM8K0gtMY/JBym4BGm5cQlS3ZT5aVDkcwlSY++TS5CaKJVp32eScZn2HV4VojlhZr9+/SCT6Xeh1AwsKJX6fyHXzFvmIAURERERERFRJWOQQgIqlQp79uwRbdN3qAcAuLq6itKGLCOalJQkShuyfCkRERERERGRKeFwDwmcOnUKKSn/de1u06YNGjZsqHd5Hx/x/A0PHjzQu6xmQMPb21vvslWJXOKu+3KZ9F3IpJ5DQurhGRaQeE4KmcT/E4mHj5hJXL/SWJn99/+qZZYPmbrk4T9Sn9NU/Und7bwyWMn/m0zaUZ6F2lCUmF/qrudSM/UhPZU5nKeySP0/qej3sLb8v797WqThmVnFztsiNWO0EVMfZsXhHhLh6h41mml/slURZZ0ws5BmkOL69et6l42KihKlq2uQgoiIiIiIiKo/BinKSaFQ4PDhw0K6du3aeP311w3ah6+vL+zt7YX05cuX9S576dIl4Xe5XI7WrVsbdGwiIiIiIiIiU8EgRTnt378f2dn/LWf56quvwtbWtoQSxZmbm+Pll18W0klJSbhy5Uqp5VJSUkT5AgMDUbduXYOOTUREREREZFLUatP7oQrDIEU5aa7qMWDAgDLtR7P3xebNm0stExERgYKC/+YZ6NmzZ5mOTURERERERGQKGKQoh/j4eERGRgrpBg0a4IUXXijTvrp16wY/Pz8hvXv3bpw/f15n/rt372Lt2rVC2tnZGW+++WaZjk1ERERERERkChikKIcdO3aI0v369YNMVrZZjGUyGWbMmCGk1Wo1Jk2ahDNnzhTLe/36dYSEhCAnJ0fYNnnyZNSqVatMxyYiIiIiIjIZlT20g8M9KhWXIC0jtVqNPXv2iLYZuqqHpi5dumDs2LFYs2YNAODJkycICQlB69atERAQADMzM9y6dQunT5+GukhDCQ4OxtChQ8t1bCIiIiIiIqLKxiBFGZ09exaJiYlCuk2bNvDy8ir3fmfMmIHs7GyEh4cL2yIjI0XDSorq1asXFixYUO7jEhEREREREVU2BinKaNeuXaJ0eXtRFDIzM8P//d//4aWXXsLq1at1Lkfq5+eH0NBQ9OvXT5LjEhERERERmQSVqrJrQJWIQYoyWrx4MRYvXmy0/QcFBSEoKAhxcXGIiopCamoqCgoK4OrqCl9fX/j7+xvt2FIwg7Tjtsxk0u7PQpYv6f4AwAzSfphaoKD0TAawlEm7PzOZtK9XLvH7J5f8HCy5fpayPOF3K1keZEXSFUXq12zqatrrrQ4sZP/NpWQry4FVkbRWZZvmqcIUmHoFq4Ca9h6q1CVPB2cpry387ix/ilxkGrtKRlUV/r8FnKKPyOQwSGHivLy8JBlGQkRERERERGTqGKQgIiIiIiIi08HVNGo09m8iIiIiIiIiIpPAIAURERERERERmQQO9yAiIiIiIiLTweEeNRp7UhARERERERGRSWBPCiIiIiIiIjIdKvakqMnYk4KIiIiIiIiITAJ7UpBRyGUqafcHqfcnfXTWUlYg6f6kfg/NJN6fJaR9vVLXT+r/cWn7syhyjv77e8mvx0wm/TlojPNaSmYmXj9TJzfCOVPRzM3++9yobVYAC3V+JdaGyPSYy3OE3x3lOchHdiXWpmYoUMsquwpEpIFBCiIiIiIiIjIZarW0D6+oauFwDyIiIiIiIiIyCQxSEBEREREREZFJ4HAPIiIiIiIiMh1c3aNGY08KIiIiIiIiIjIJDFIQERERERERkUngcA8iIiIiIiIyHWoO96jJ2JOCiIiIiIiIiEwCgxREREREREREZBI43IOqBLlMZdL7AwAzSLtPC1mBpPuzhLT7k7p+ckjbrc9MJu3+SqufeZHjmcvUQCnnmJnErxcA5BX8mitbTYuyy2WVXYPyK3qOWsnUonZTEWraOUPlJ6/g4xW9dtnI1FBVcBupkfgemyaV9PfqVHXwek1EREREREREJoFBCiIiIiIiIiIyCRzuQURERERERKaDq3vUaOxJQUREREREREQmgUEKIiIiIiIiIjIJHO5BREREREREJkPN1T1qNPakICIiIiIiIiKTwCAFEREREREREZkEDvcgIiIiIiIi08HVPWo0BinIKMxk0o4jM4Np7w8A5BK/ZrnEdbSQFUi6PzmkvXhYSH7OSFs/uazk/ZkXqb+FTAVZKa9H6vcPkL5rnFwm8Q4lZupdAeWVXQE9yGUV+082w3/Hs4IMqgo+vtRM/RysieSo6ufUf2dVLZhBJeNZVtWYVfHPNSJTwE8+IiIiIiIiIjIJ7ElBREREREREpkPF4R41GXtSEBEREREREZFJYE8KIiIiIiIiogqSkZGByMhIJCcnQ6FQwMXFBR4eHggMDIRcXvGzWimVSly4cAEpKSnIyMhA3bp14e7ujjZt2sDS0rLC68MgBREREREREZkOtfST3JuCu3fvYvny5Th+/Djy8vKK/d3Z2RlDhgzB+PHjKyQ4kJqaii+//BKHDh1CVlZWsb87ODggODgY06ZNg62trdHrU4jDPYiIiIiIiIiMaPfu3RgwYAD++OMPrQEKAHj48CFWrVqFIUOG4P79+0atz19//YXg4GDs3LlTa4ACADIzMxEeHo433ngDN27cMGp9imJPCiIiIiIiIiIjOXHiBObMmQOV6r8eIo0aNUKHDh3g6OiI+Ph4HDt2DNnZ2QCA69evY/z48diyZYtRejBERUVh8uTJePbsmbDNxcUFL7/8MpycnJCUlIRjx47hyZMnAICEhASMHTsW27ZtQ/369SWvjyYGKYiIiIiIiMhkqKvR6h6pqamYPn26EKCQyWSYPXs2Ro4cCTOz/wY2pKWl4b333sO5c+cAALdv38ZHH32EL7/8UtL6ZGdn49133xUFKEaPHo3p06eLhpgoFArMmzcP+/fvB/BvL49p06YhIiJC0vpowyAFVQlymbQfVHKZ9OPc5JC2jhayAkn3J339pH0Ppd6f1K+3tLFxRY9nDjVkpRxfLpOgUhqkHr9X8dM2GUYuM8KbKKGqMJ5Sjop9D82KHM8CMqgq+PhSMzPxc7AqqOhz0NTJipxT5jIZ1LKq8Emim1mV+CQkMq5vv/0WSqVSSE+ZMgWjRo0qlq9u3br48ccf0b9/f8TGxgIA9u/fj9DQUDRv3lyy+mzcuBFJSUlCeuDAgZg9e3axfLa2tli+fDnS09Nx5swZAMClS5dw+PBhdO/eXbL6aMNPDiIiIiIiIjIdapXp/ZTBo0ePsHXrViHdsGFDjBs3Tmd+KysrzJs377+3Qa3Gt99+W6Zja5OXl4cff/xRSNvZ2WkNUBQyMzPDp59+KurxsXr1asnqo/O4Rj8CERERERERUQ1z5MgR0SSZgwcPhoWFRYllOnbsCG9vbyF94sQJnRNbGurs2bNIT08X0n369IGDg0OJZby8vNCpUychHRUVhYSEBEnqowuDFEREREREREQSO3r0qCjds2dPvcq99tprwu85OTk4deqUUepT9Dgl0az3kSNHJKmPLgxSEBERERERkclQq9Qm91MWFy9eFH53cnKCp6enXuUCAwNF6fPnz5fp+JouXLgg/C6XyxEQEKBXudatWxulProwSEFEREREREQkoZSUFDx9+lRIN2vWTO+ymhNlFk6kWR4qlQr37t0T0l5eXrCxsdGrrLe3N2rVqiVpfUrCIAURERERERGRhO7cuSNKN2jQQO+yTk5Oorkr7t69W+76JCYmIicnp0z1kclkqF+/vpBOSEgQzbUhNQYpiIiIiIiIyHRU9koeEqzukZKSIkoX/ZJfGplMBldXV537Kovy1AeAqD75+fl4/PhxueukC4MURERERERERBLSXJHD2traoPJFh2Lk5+eLekGUhVKplKw+2vYnJQYpiIiIiIiIiCSkGaSwsrIyqLxm/vIGBaSuj1TLompjbrQ9U5ViVj9G/7wuJ0vNM9uw3kNE1UqjBpGVXQUik1fH7ULpmYhqMLv6xp09n8iU/aHaWtlVKDfNng9F55jQh6WlZYn7q+r1KQl7UhARERERERFJSLPngaETTebm5pa4v6pen5IwSEFEREREREQkIc05HwzteaCZX9/lQiuqPobOaWEIBimIiIiIiIiIJKT5Jd7QOSWK5jc3Ny93z4XyTnypmb+8QZOSMEhBREREREREJKGiS3YChi0jqlarRfk191XR9QGA5ORk4Xdzc3PUq1ev3HXShUEKIiIiIiIiIgn5+PiI0omJiXqXffTokWjOCG9v73LXx93dHbVq1SpTfdRqtShI0bBhQ4Mn3jQEgxREREREREREEnJxcYGdnZ2QvnHjht5lr1+/LkpLEaQwMzNDo0aNhHR8fLzeQz5iY2NFc1JIUZ+SMEhBREREREREJLE2bdoIvz9+/Bjx8fF6lYuMFC9n365dO8nrU1BQgKtXr+pV7tKlS0apjy4MUhARERERERFJrFu3bqL0wYMH9Sp36NAh4XcrKyt07ty5UuujmU9zP1JjkIKIiIiIiIhIYl27dhXN3bB161bRXBPanDlzBnfv3hXSQUFBki332b59e9StW1dI79u3D0+ePCmxTFxcHE6fPi2kW7RoAU9PT0nqo4u5UfdO1UZGRgYiIyORnJwMhUIBFxcXeHh4IDAwEHK5vLKrR1SlxMfH4/r160hOToZKpYKrqyt8fX3h5+dX2VUjKlVGRgaio6MRFxeHjIwMqNVqODg4oEGDBmjVqpVo/G15sJ1QVaRSqRAfH4+4uDikpKTgyZMnyM3NhbW1NRwdHdG0aVP4+vpKcu/ENkJk+pycnDB48GBs2rQJwL/t9ocffsC7776rNX9OTg4WLFggpGUyGSZOnKhz//fv3xf1anB3d8fRo0d15rewsEBoaCiWLFkCAHj69CkWL16MhQsXas2vUqnw8ccfQ6VSCdsmTZqkc/9SYZCCSnT37l0sX74cx48f1xr1c3Z2xpAhQzB+/HhYWlpWQg2JpKFUKnH9+nVcvXoVV69exbVr10SzHpf2oa+PEydO4Ntvvy02rq+Qv78/QkNDERwcXK7jEElJpVLhwoUL+OOPP/D3338jOjpaZ16ZTIaOHTsiJCQEQUFBZToe2wlVNWlpaVi7di0iIyNx48YNPHv2rMT8Dg4OCA4OxpgxY+Dm5mbw8dhGiKqW8ePHY9euXcIklWFhYbC2tsbIkSNhZvbfwIa0tDS89957uH37trCtV69eaN68uaT1GT58OMLDw5GUlAQA2L59OxwcHDB9+nTR9zmFQoF58+bhzJkzwrbAwEB0795d0vpoI1Or1WqjH4WqpN27d+OTTz5BVlZWqXmbN2+OsLAweHh4VEDNiKSzbt067NixA7dv3xZFiTWVJ0ihVquxcOFCbNiwQa/8vXv3xuLFixn4I5PQo0cPxMXFGVyud+/emD9/PmxtbfXKz3ZCVdW1a9cwaNAgg8tZW1tj3rx5GDBggF752UaIqq7jx49j4sSJonvNRo0a4YUXXoCjoyPi4uJw7NgxZGdnC39v0qQJtmzZUuJ11NCeFIWioqIwfPhwUVDVxcUFQUFBqFevHpKTk3H06FHRUBBnZ2ds27YN9evX1/t1lxV7UpBWJ06cwJw5c4o1pA4dOsDR0RHx8fGihnT9+nWMHz++1IZEZGrOnz9f4pNhKSxfvrzYTWXr1q3RsmVLyOVy3Lp1C6dPn0ZhzHjfvn2Qy+VYunSpUetFpI+0tLRi2xo1aoSAgAA4OTnBysoKycnJOHPmjGgN9X379iE1NRVr166FlZVVqcdhO6HqwsnJCX5+fvDy8oKDgwPkcjkyMjJw48YNXL58Wbi3ysrKwty5c5Gbm4uhQ4eWul+2EaKq65VXXsGiRYvwySefCIGBe/fu4d69e1rzN2vWDKtWrTLa96oWLVogLCwMs2bNQkZGBgAgNTUVW7du1Zrfw8MDYWFhFRKgABikIC1SU1Mxffp04SIqk8kwe/ZsnV2Szp07BwC4ffs2PvroI3z55ZeVUm8iqVhbW6NFixaIiorSqydRSY4dO4Y1a9YIaXt7e6xcuRIdO3YU5bt+/TomTpwofMnbs2cP2rRpo9eNK1FFcHd3x5tvvon+/ftrvUkpKCjAr7/+ikWLFglrqZ8/fx5fffUVZs+eXeK+2U6oKpPL5WjXrh1ee+01dO7cGd7e3jrzJiYmYv78+Th+/LiwbeHChejUqRMaNmyosxzbCFHV98YbbyAgIADLly/HiRMndA6lHzx4MCZMmGD0XlAvvfQS9u7di+XLl+PQoUNah6oVDk+bNm1ahT6I5nAPKubTTz/F5s2bhfTUqVNLnNylf//+iI2NBfBvQGPHjh2Sj50iMpbp06fj/v37aNmyJZ577jm0bNkSPj4+MDMzQ9euXYV5Kcoy3EOtViM4OFjoqSGTyRAeHq5zbem7d++iX79+whc8Z2dnHD58GLVq1SrHKyQqn+DgYIwcORJvvPGGXpP9nThxAhMmTBAC3RYWFjhy5AhcXV215mc7oZqmoKAAY8eOxalTp4RtISEhmDt3rtb8bCNE1U96erqwKIFSqYSTkxM8PT3RunXrSlmUQKlU4sKFC0hKSkJmZibq1q0Ld3d3tG3btlKGjHEJUhJ59OiRqJtPw4YNMW7cOJ35raysMG/ePCGtVqvx7bffGrWORFJasWIFtm7dio8++ggDBgyAr6+vqMdQeRw+fFg0lKRfv346byoBoHHjxhgzZoyQfvjwoc5ud0QVZceOHRg4cKDeN01BQUHo3bu3kM7Ly8ORI0d05mc7oZpGLpdj5syZom0nT57UmZ9thKj6qVOnDrp164bhw4dj3LhxGDBgANq1a1dpqyba2NggKCgIQ4cOxfjx4/Hmm2+iU6dOlTanDYMUJHLkyBFR16PBgweL1vbVpmPHjqKujSdOnCh3F3mi6uDgwYOi9PDhw0stM3ToUNEFSnMfRBXN3NzwkaFFgxTAvxML6sJ2QjVRixYtYG1tLaQLZ9nXhm2EiGoaBilIRLM7e8+ePfUq99prrwm/5+TkiLowEtVE+fn5+PPPP4W0m5sbAgICSi3n6uqKVq1aCelLly5pnbiQyJRpjq1/9OiR1nxsJ1ST2djYCL/rGn3NNkJENRGDFCRy8eJF4ffCsVH6CAwMFKXPnz8vab2Iqpro6GjRsk2abaQkRfMWFBQgMjJS0roRGVvhWvCFdPXGYDuhmurZs2fCjPoAdN5vsY0QUU3EIAUJUlJS8PTpUyHdrFkzvctqTpRZOJEmUU2l2QbK057u3LkjSZ2IKsqtW7dEaV1LlrGdUE118OBB0fDaV155RWs+thEiqokYpCCB5sWrQYMGepd1cnISzV1x9+5dyepFVBWVpz25ubmVuC8iU7dnzx5R+oUXXtCaj+2EaqKbN2/iiy++ENKOjo4YOXKk1rxsI0RUExk+GxZVWykpKaK0ridf2shkMri6uuL+/fta90VU05SnPWnmLVzvnqgqOHfuHM6dOyek7ezs8OKLL2rNy3ZCNYFarYZCoUB0dDQOHjyIiIgI5ObmAgCsra2xcuVKODk5aS3LNkJENRGDFCTQXJGj6KzT+ig6AVR+fj5ycnJgZWUlSd2IqhrN9lS0fZRGMy9Xy6Gq4tmzZ6JlqQFg1KhROs9/thOqju7cuYM+ffoIaZVKpXVizKCgIMydOxeNGzfWuS+2ESKqiRikIIHmxcvQAINmfqVSySAF1Via7cmQdaY12w1vLKmq+PTTT3Hv3j0h7e3tjdDQUJ352U6oOlKr1SgoKND5dzMzMwwfPhyhoaGl9oxgGyGimohzUpAgJydHlC46x4Q+NC+cmvsjqkk0z39Dbiw182ZnZ0tSJyJj+vnnn7Fz504hbWlpiaVLl5YYrGY7oZpIpVIhPDwc3bt3x+LFi4WhH9qwjRBRTcSeFCTQvJEsOuu0PjQvsuxFQTWZ5vlf0k2oJs28tWrVkqRORMZy8OBBLF68WLRt/vz5eO6550osx3ZC1ZGPj49ohZvc3FxkZGTgxo0bOHjwIPbu3Yu8vDzk5eVh3bp1iI6Oxnfffac1AME2QkQ1EXtSkEBzDgpDe0Jo5jdk3CRRdaPZngy5sdRsS4bOD0NUkc6cOYP3338fKpVK2DZz5kz079+/1LJsJ1QTWFpawsXFBUFBQVi0aBG2bdsmWnnj1KlTWLVqldaybCNEVBMxSEECzYuXUqk0qHzR/Obm5uxJQTVaedqTZl7eWJKpunr1KiZNmiT64jRmzBiMGzdOr/JsJ1QTNW3aFGvWrBENq/3555+Rnp5eLC/bCBHVRAxSkMDV1VWUNmQZUbVaLcqvuS+imkazDRiy9FtSUpIobciSc0QVJTo6GmPHjhVNxvfmm2/if//7n977YDuhmsrX1xe9evUS0tnZ2Thx4kSxfGwjRFQTMUhBAh8fH1E6MTFR77KPHj0SzWHh7e0tWb2IqiLN9vTgwQO9y2rehLI9kamJj4/H6NGjkZGRIWzr2bMn5s+fb9B+2E6oJuvUqZMoXXQei0JsI0RUEzFIQQIXFxfY2dkJ6Rs3buhd9vr166I0L4RU02neWGq2kZJERUWJ0mxPZEpSUlIQEhKChw8fCtuCgoKwbNkymJkZdlvBdkI1mZOTkyitUCiK5WEbIaKaiEEKEmnTpo3w++PHjxEfH69XucjISFG6Xbt2ktaLqKrx9fWFvb29kL58+bLeZS9duiT8LpfL0bp1aymrRlRmaWlpCAkJEfW0a9++PVauXGnwstUA2wnVbJpBiaJtoRDbCBHVRAxSkEi3bt1E6YMHD+pV7tChQ8LvVlZW6Ny5s6T1IqpqzM3N8fLLLwvppKQkXLlypdRyKSkponyBgYGoW7euUepIZAiFQoHQ0FDcuXNH2BYQEIBvv/22zEsbsp1QTabZK6Loih+F2EaIqCZikIJEunbtKnoatnXrVtFcE9qcOXMGd+/eFdJBQUGcQZoIwOuvvy5Kb968udQyERERKCgoENI9e/aUvF5EhsrOzsaECRNE3cf9/Pzw448/wtbWtlz7Zjuhmig7Oxt79+4VbdOco6IQ2wgR1TQMUpCIk5MTBg8eLKTj4+Pxww8/6Myfk5ODBQsWCGmZTIaJEycatY5EVUW3bt3g5+cnpHfv3o3z58/rzH/37l2sXbtWSDs7O+PNN980ah2JSpOfn4/33ntPdO42atQI69atg4ODQ7n3z3ZCVVlubi5u3rxpUBmVSoWPP/5YNAnm888/r3POCLYRIqppGKSgYsaPHw8bGxshHRYWhnXr1kGlUonypaWlITQ0FLdv3xa29erVC82bN6+wuhKZMplMhhkzZghptVqNSZMm4cyZM8XyXr9+HSEhIcjJyRG2TZ48uczd6ImkoFarMWfOHBw/flzY5u7ujvXr1xeb9K+s2E6oKsvOzsYbb7yBqVOn4tixY8jNzS0x/5UrV/DOO+9g165dwjYzMzN8+OGHOsuwjRBRTSNTq9Xqyq4EmZ7jx49j4sSJosBEo0aN8MILL8DR0RFxcXE4duwYsrOzhb83adIEW7ZsKXfXX6KKlJiYiFdffVXr34p2lQX+nXhMm/Xr16N9+/Y6j7Fs2TKsWbNGtK1169YICAiAmZkZbt26hdOnT6Pox3FwcDCWLl2q78sgMorExER07dpVtE0mkxm8ioe7uzv++OOPEvOwnVBV9OTJE9Fk4bVr10bTpk3RpEkTODg4oHbt2lAqlUhOTsa1a9eQkJAgKi+TyfD5559j4MCBpR6LbYSIagoGKUinXbt24ZNPPsGzZ89KzdusWTOsWrUKHh4eFVAzIuncv3+/2ISxhtqwYQM6dOig8+8qlQoLFy5EeHi4Xvvr1asXFi9eDCsrq3LVi6i8pGgfwL9BiqNHj5aYh+2EqiLNIIUhXF1d8emnn6JLly565WcbIaKagkEKKtGdO3ewfPlynDhxQusEms7Ozhg8eDAmTJgAS0vLSqghUflURJCi0IkTJ7B69WqdS8j5+fkhNDQU/fr1K1d9iKRSkUGKQmwnVJUUFBRg7969OHnyJM6fP4+UlJRSyzRv3hz9+/fHgAEDytT7lG2EiKo7BilIL+np6YiMjERycjKUSiWcnJzg6emJ1q1b6+wCT0TaxcXFISoqCqmpqSgoKICrqyt8fX3h7+9f2VUjMhlsJ1QVpaamIjY2Fvfv30dmZiZycnJgbW0NW1tbeHh4oEWLFrC3t5fkWGwjRFRdMUhBRERERERERCaBq3sQERERERERkUlgkIKIiIiIiIiITAKDFERERERERERkEhikICIiIiIiIiKTwCAFEREREREREZkEBimIiIiIiIiIyCQwSEFEREREREREJoFBCiIiIiIiIiIyCQxSEBEREREREZFJYJCCiIiIiIiIiEwCgxREREREREREZBIYpCAiIiIiIiIik8AgBRERERERERGZBAYpiIiIiIiIiMgkMEhBRERERERERCaBQQoiIiIiIiIiMgkMUhARERERERGRSTCv7AoQSSU+Ph4xMTFITk6GUqmESqWCnZ0d7O3t0bhxY/j5+cHS0rKyq0lEJsbf31/4vX379ggPD6/E2lR/Xbt2RWJiIgDA3d0dR48ereQaGRfPLyIiIsMwSEFV2pUrV7B161YcPXoUjx8/LjGvhYUFAgIC0Lt3b/Tq1Qt16tSpoFoSVYwRI0bg3LlzAKrWl6H79++jW7duom23bt2q9H0RVRVFAyFlNXfuXISEhJS/MkREROXEIAVVSbdv38bnn3+O06dP610mLy8PFy9exMWLF7F48WIMGzYMEyZMQN26dY1Y08pT055WElVlRQNMAAMrREREVHMxSEFVztatW/HZZ58hJyen2N9sbGzg4+ODunXrwtbWFhkZGXj48CHi4uKQnZ0t5MvNzcXPP/+MP//8EwcPHqzI6hMREREREZEODFJQlfLDDz9g+fLlom1mZmbo27cvBg4ciNatW8PCwqJYuezsbJw5cwaHDh3C3r17kZ+fD+DfYAUREVF1smnTJtSvX9+gMo6OjsapDBERkYEYpKAq48iRI/jyyy9F27y9vbFixQo0bdq0xLK1atVCly5d0KVLF0yYMAFfffUVDhw4YMzqElEVwaEVFYtDz4yvfv368PDwqOxqEBERlQmXIKUqISEhAXPmzIFarRa2tWzZEps3by41QKGpUaNG+Oqrr7Bw4UJYWVlJXVUiIiIiIiIqI/akoCph6dKlePLkiZC2t7fHqlWryrVCx8CBA9GuXTspqkdEREREREQSYJCCTN69e/fwxx9/iLbNmTPH4PG22jRs2LDc+5CSWq1GbGwsoqOj8ejRIyiVSsjlctSuXRvOzs7w9PSEr68vLC0tK62OMTExuHXrFtLS0vDs2TM4OjrC2dkZrVu3lnxMs1qtxtWrVxEXF4eUlBSYmZmhYcOGaN++PRwcHEos++zZM1y8eBF37tyBUqmEvb09vL290bZtW63zlhhKqVQiMjISqampSEtLg1wuR926deHj44MWLVrAzEzajmp37txBTEwMHj58iKdPn6JOnTro3bs37OzsJNl/UlISbty4gaSkJCiVShQUFKB27dqoU6cO3N3d4e/vL9mxqpO4uDjcunULKSkpUCqVkMlkqFWrFpycnODh4QE/Pz/Url270uqXkJCAa9euIT09HU+fPoW9vT2cnJzQqlUruLi4SH48Y5+nhVQqFW7cuIG7d+8iPT0dCoUCtWvXhpOTE3x8fODn5we5XG7QPhUKBWJjY3H37l1kZGQgKysLNjY2cHBwgJ+fH/z9/Q3eZ3WlUqlw9epVJCQk4NGjR8jNzUWDBg3Qt2/fUssmJCQgKioKaWlpePLkCezs7IRz0tXVtdx1UyqVOHfuHB48eAClUglnZ2e4ubmhTZs2knz2V5aKvubcvXsXN2/eREpKCvLz81G3bl20aNFCkuVuASAnJweXL19GUlIS0tPTkZ2dDRsbGzRo0AB+fn4md39GRBWLQQoyeT///DNUKpWQdnJyQnBwsFGPuWPHDsydO1dIL1q0CAMGDNC7fNGLePv27REeHl5ifoVCgTVr1mDXrl1ITk4uMa+FhQUCAgLw6quvIiQkBDKZTPjbnDlzsHPnzmJlEhMTS7yx6N+/PxYvXqzz70qlEuvWrcO2bduQlJSkNY+ZmRkCAwMxYcIEvPzyyyW+hkJnz57FO++8I6QnT56MKVOmIDc3F+vXr0dERISwjGpRlpaWGDx4MGbMmAEbGxvR39LS0hAWFoadO3fi2bNnxco6ODhg0qRJeOedd8p0U3fy5EmsWbMGkZGRyMvL05qnTp06GDRoEMaOHVtqMAUA7t+/j27dugnpov+PrVu3Ijw8XOu8Cc8//zyaNWtm8GsopFKpsH37dmzatAk3btwoMa9MJkOTJk3QpUsXhISEoF69emU+rqkxtL3m5uZiw4YN2Lp1K+7du1diXrlcjqZNm6J79+4YNWqUKGARFhaGVatWlVonTaXVMTc3F7/++ivCw8NLrF/z5s0xZswY9O7dW/Q5ootU52l5lkeOjY3FDz/8gGPHjiEzM1NnPjs7O3Tu3BkDBgxAUFCQznzR0dHYv38//vrrL1y/fh0FBQU689rY2CA4OBhjxoyBp6en3nWuinRdA7Ozs7F69Wrs3LkTqampojJ2dnY6gxRZWVkIDw/H9u3bERcXp/O4zZo1w/jx49GzZ0+9zsmiUlNTsWzZMhw8eFDr6l916tRB//79MXHiRNjb2xt0na/oe4KiKvqac+zYMXz33Xe4fPmy1rKenp6YOnVqme/D/vrrL/z00084f/58iZOX169fH926dcOQIUNE79+VK1cwePBgIW3o+1lo48aN+Oyzz4T06NGjMXv2bIP3Q0TGwSAFmbyTJ0+K0gMGDKjST0M03bx5E2PHji12w6dLXl4eLl68iIsXL2LEiBEwNzduM46MjMSUKVPw6NGjEvOpVCpcvHgRY8eORdeuXbFs2bJiAQR9pKenY/z48bhy5YrOPLm5udi4cSMuXryIDRs2wN7eHgBw/fp1jB8/vsT3MjMzE4sWLcL169exePFivQMVaWlpmDlzJk6fPq3Xa1izZg22bt2KVatWlWlYkUKhwKxZs3Ds2DGDy+rjyZMnmDhxIi5cuKBXfrVajZiYGMTExKBjx47o1KmTUepl6pKSkjBmzBjExsbqlb+goABRUVGIiopC79694eXlZdT6xcbGYtKkSaUGT4B/28vMmTOxceNGrFq1Ck5OTgYfz9jnaaG8vDwsXrwYmzdvFgWtdXn69CkOHjyIgwcP6pwYNSoqyqAvmkqlEr/88gt27tyJ+fPno1+/fnqXrQ5iY2MxefJk3Llzx6ByJ0+exOzZs/H48eNS8964cQPTpk1Dp06dsHLlSr174Jw+fRpTp07F06dPdeZJT0/HTz/9hEOHDmHNmjV617+yVPQ1p6CgAAsXLsTGjRtLzJeQkID3338fly9fxrx58/QOJj169AgzZszA2bNn9cqfnJyMTZs2ISYmRhSEeP7559GiRQtERUUBAM6dO4c7d+7A29tbr/0W2rJli/C7TCbD0KFDDSpPRMbFIAWZtOTkZCQkJIi2vfDCC5VUG+llZGRgzJgxxQIAzs7O8PX1haOjI8zMzKBUKpGcnIw7d+5ofUJkLH/++ScmT55c7Jiurq5o2rQpbG1t8fDhQ1y+fFn0ROTo0aMYMWIENmzYAFtbW72Pl5eXJwpQ1KpVCwEBAXB2dsazZ8/wzz//iAIQN27cwNy5c/HNN9/g3r17CAkJEZ6uOjo6omXLlnBwcEBGRgYuXboEpVIplN29ezeaN2+OkJCQUusVFxeHMWPGFDsXbWxs0KJFCzg5OaGgoACJiYm4fv268CUqIyMDo0aNwrfffouXXnpJ7/dBrVZjzpw5whc/mUwGf39/eHh4wMLCAsnJyfjnn3/03p8206ZNKxagsLa2RtOmTeHi4gJLS0tkZWXh8ePHiI2NFc0JU1Pl5uYiNDS0WIDC0dERfn5+qFevHszNzaFUKvHw4UPExsYiKyurwuoXFRWF0aNHIyMjo1j9nnvuOTg6OuLx48e4cuWKqF6XLl3CkCFDsHHjRri5uel9vIo4T4F/AyHjxo3DxYsXi/3N3d0d3t7ecHBwQHZ2NlJSUhAdHa3X56RmsEMmk8HDwwNeXl6wtbWFubk5njx5gtu3b+PBgwdCvuzsbPzvf/+DlZUVevbsWe7XVxVkZmZi/PjxwmeghYUFWrZsCVdXV+Tl5SEhIUFrL7tff/0Vn3zySbEeKu7u7vD19YWtrS2USiVu3rwpKn/69Gm89dZb+OWXX0q9hpw9exYTJ05EdnZ2sWMUDrdKTk7G1atXkZ+fj8TERISGhmLEiBFlfTuMrqKvOQDw+eefY9OmTQD+a8uenp6wtLTEgwcPcO3aNWH5duDfZW6bNGmCt956q9R9R0dHIzQ0FCkpKaLtMpkMfn5+aNCgAWxtbaFQKBAfH4+7d++WGIwcPnw4PvjgAyEdEREhSpfmwoULiI6OFtKdOnUyegCZiAzDIAWZtMjISFFaJpPhueeeq6TaSG/t2rWiAEWzZs0wb948tGnTRmv+/Px8XL58GUeOHMGOHTuK/f1///sfJk+eDAB46623hBsCV1dXbN68WWc9rK2ti21LTk7G+++/L7rZ9/DwwEcffYSXX35Z9PSkcLjKjz/+KNzEREVF4eOPP8by5ctLegtEIiIikJmZCUtLS0yZMgUjRowQdY9Xq9XYsmULPvvsM+E4hw8fxunTp/HFF18gMzMT9evXx9y5c9GjRw9RL4msrCx88cUXiIiIELZ9/fXXGDRoUIk3wc+ePcPkyZNFN4uNGzfG9OnT0b1792Jj1FNTUxEWFoZff/0VwL+Bl/fffx+7d+/We7z1H3/8IQRU+vfvj/fee6/Yl8e0tLRic5Po2+X15MmTOHXqlJB2dHTEhx9+iNdff11nL6WYmBicOHEC27Zt0+sY1dGOHTtw+/ZtIe3u7o6PP/4YL730ktYeOWq1Gv/88w+OHz+u9X0bOXIk+vfvDwCYMWOGqPfQkSNHdNZD26pECoUC06ZNEwUo6tWrhzlz5qBXr16iHlc5OTmIiIjAihUrhCFR9+/fx6xZs7Bhwwa9510o63lqCLVajdmzZxcLUAQHB2PChAnw8fEpViY/Px9nz57Fb7/9ht9++63E/deqVQu9evVCt27d0LFjR529v6Kjo/HNN9/g4MGDwrYPPvgA7dq1q1ZDn3QJCwuDUqmElZUV3n33Xbz99tvF3ivNL9RnzpwpFqDo27cvJkyYgCZNmhQ7xtmzZ7FgwQLhy2N0dDQ++uijYkuPF/XkyRO8//77ogBFo0aN8Mknn6Bjx46ivOnp6Vi1ahU2btyIBw8e4LvvvtP/DahAlXHNOX78ONLT0wEAb775JiZPnlxs3q+UlBTMmzcPJ06cELYtX74cb7zxhtZ7iEIZGRmYOHGiKEBhbW2NUaNG4e2330bdunWLlVEoFDh27Bh27dqldUhI7969sWTJEuHzbteuXZg5c6beK7YVvQ8AgGHDhulVjogqDoMUZNI0o+5OTk56jbesKop+EXF0dMT69etLnHzS3Nwcbdu2Rdu2bTFt2rRiQz3q1q0rXPCL/s3c3BweHh4G1W3BggWiLzze3t7YuHGj1htyW1tbTJ8+Hf7+/pg5c6bwBOS3335D37598corr+h1zMzMTFhYWOCHH34odoMJ/Ncl8+nTp1i2bJmwfdq0acjMzISHhwc2b96s9cbM2toan376KZKSkoSbrKysLBw4cABvvvmmzjotWbJE9MTl5ZdfRlhYGGrVqqU1v4uLCz777DN4e3sLY3zT09Px1VdfYdGiRXq9D4Vf/GbMmIHx48drzaPtxk5fml+AV65ciQ4dOpRYxtfXF76+vhgzZozOcdFSun//fpnKlTanS3kUfd/Mzc2xbt26Ep++yWQytGzZEi1btsSkSZOKPRm0t7cXhipp3lwb2l7DwsIQHx8vpJ2dnbFx40Y0atSoWF4rKyuMHDkSzZs3R2hoqPAF78KFC4iIiMDw4cP1Oqaxz1Pg3yfxhw8fFtIWFhZYuHBhiePhzc3N0blzZ3Tu3BkzZszQma9x48b4888/9bqm+Pn54euvvxbNI6JUKrF582ZMmTLFgFdUMYrON6CPI0eOlHjOKZVKWFhYYM2aNTo/K4rO06FUKjFr1iwhQCGTybBgwQIMGjRI5zE6dOiAiIgIjBkzBpcuXQIA7Nu3D8OGDdM5fGHlypWi+4QmTZpg48aNWlf+qlOnDubNmwdPT08sWrSoxDlNKlNlXHMKAxQff/yxzp4Rrq6uWL16NQYPHiwMtVAoFNi3b1+J19DPPvtM9Hnu7OyMNWvWlDifkq2tLfr27Yu+ffvi4cOHxf5eq1YtDBgwAD/99BOAf+8dDhw4gDfeeEOv13ro0CEh7eLigi5dupRajogqlrRTARNJTLPbcnVbXaBoF+IOHToYtDqGvk8MyiI+Pl70hUwul+PLL78s9Ylhr169it3gFN5E6GvChAlaAxRFjRgxQvTkpvBm84svvij1ydHYsWNF6b///ltn3pSUFGzdulVIu7u7Y+XKlTpvFosaNWqUaMK+vXv3ar3Z0qVjx446v/iVV9HzztHRsdQARVEymaxCVpfp1q1bmX70/YJdFkXfN39/f4O6B8vlcqPNpaNQKETnKfDvFwNtAYqi2rVrh/fee0+0bf369XrN+VDImOdpfn4+vv/+e9E2Qyfsc3Z21vk3W1tbg4Pe7777rmgSv7179xpUviqbOHGi3p8VERERol6CY8aMKTFAUcjGxgYrVqwQfcasXbtWa16FQoHt27cLablcjmXLlpW6NHlISIjJfimtzGtOnz59Sh26YW5ujqlTp4q2lXQNvXPnDvbv3y+k5XI5vv76a4MmfNbVhocNGybq0anZO0KXHTt2iHpnDB482OhzexGR4RikIJOmGaQofOpYHekzqVhF2b17t+iLyuuvv673TcWUKVNEN5hnz57VukKHNrVr1xat9qFLrVq10Lp1a9G2Nm3aoG3btqWWbdOmjeiGr6RVLSIiIkS9BiZPnmzQcpKjRo0Sfs/Lyys2CWxJxo0bp3fe8lAqlRU6z0l1kZaWVtlVEPz++++i+VYCAwP1/hL2zjvviL4ExMfHa537QRdjnqcnTpwQfXZ4enoiNDTUaMfTh5mZGV599VUhHRcXZ1LngrHo+9lcqOjki9bW1pg0aZLeZd3c3PD6668L6VOnTmnt8v/777+L5lZ59dVX9b5OTZs2Te/6VKTKvObo+z/q3LmzKOBa0jV0y5YtonuJ4OBgncNZDdWwYUPRvBuXLl3CzZs3SyyjVquFYTHAv0GTknqBEFHlYZCCqBIVnY06MjJS9MShMmkb/60vR0fHYsM7NOcW0aVVq1Z6B6I0nxLrO0mYmZmZaP31koJDRWdVl8vleO211/Q6RqE2bdqIntDou5KGjY2NUSeILXre5eXlYenSpVCr1UY7XnVR9H1LSkrS+YS3omm2V13LQGpjbm6OPn36lLg/XYx9np45c0aUHjx4cJmWDS6L3NxcpKWlITExEffv3xf9aPZi03ell4q0adMmHDlyRO8fzfkHNHXo0EHvnox37twR9ToKCgoyeKWnoj02cnNzcfXq1WJ5NM9TzfO4JE2bNoWvr69BdaoIlXXN8fT01Dq/izYWFhZ6X0M127DUK2ho9pwrumKHrvoUXfmoS5cupZ77RFQ52L+JTJrm8IeSlherivr06SOM7VSpVJg+fTp27tyJ4OBgvPTSSwYN/5CS5oz8rVq1Mqh8YGAgfv/9dyF97do1vb446XuTBKDYZJdlLatQKLTmycnJEf43wL9rtqenpwtjd/VlZ2cnlNGcWE6Xpk2bGvXLWO/evbFu3TohHR4ejnPnzmHQoEHo0qWLaGx5ZdG1bGRp7t+/b/B4fH316dNHdF4vWbIEhw8fxoABAxAUFAQXFxejHLc0mu1Vs5dRaQIDA0Xnw7Vr1/QqZ+zztHBegkLt27c32rGio6Oxf/9+XLx4ETExMQa1c1Oc26B+/foGz2tSEkO652sGD9zc3AyeY0bzvIqPjy/WU07zvA8ICDDoGAEBAYiJiTGojDFV5jVH20SmJSn6MEHXNVShUIjm1rC2tkbLli0NOk5pXn75ZXh4eAjn1549e/D+++/rnMhTc0gIlx0lMl0MUpBJ0/ySXt2WQXz77bdx6NAhXL58Wdj2559/4s8//4RMJoOvry9atWqF1q1bo127dpLedOqSm5srCgbVrVvX4HHbmuuV6zuUxZDhPJpjSA2Zr6Ro2aJLqhX18OFDUbfbxMTEcn/51Ry+pIuxVwto2bIlRo4ciZ9//lnYduvWLXz++ef4/PPP4ebmhsDAQAQGBqJdu3Zo2rSpaOxvTdWjRw/06NFDFKiIjIwUegp5eXkhMDAQrVu3Rtu2bQ0KnJWHZvsqbS4KTWVtr8Y+TzXH0xv6RUofiYmJWLhwoWhyTkPp+pJWnRjyv9acvPann34yeG4iTdoCQUXP09q1a+u9kkUhQ9uJsVXmNcfQobRFh3vouoY+fvxY1EOvcePGeq8cpC8zMzMMHTpUmEhboVDgt99+w+DBg4vlffjwoWiuLU9PT7z44ouS1oeIpMMgBZk0zSeTjx49wpMnT6rN3BSWlpZYt24dFi9ejG3btomWalOr1YiOjkZ0dLQwhtLf3x8DBgzAkCFDDBqnagjNQFBZJivV7OWg75PG8jyVlfqJrr43d4YoOm9ASQztGl0WH3zwARo0aIBVq1YV66GUlJSEpKQkYfiRq6srevfujZEjR9borrEymQwrVqxAWFgY1q1bV2wuj7i4OMTFxWHXrl0A/g1aBAcH4+233zZqr6iibdbc3NzgzwbNNq5vezX2eVq0DZqbm5e4VHBZxMbGYuTIkQZNLqiNIRONVlWG/K8r6rOz6HlalnPD1CbirsxrjjF6RFXUnGKDBg1CWFiY8HkcERGhNUixdetWUUBlyJAhDL4TmTDOSUEmTbPbslqt1rsrclVhbW2N+fPn49ChQ5gyZQpatmypc6bpW7duYdGiRejRo0eJM2qXh+bcBFJcxKvijUBFLLNZ2UJCQnDs2DF88sknePHFF3V2kU1JScFPP/2EV199VdT7oiYyNzfH9OnTcfToUcyePRtt27bVudpJXFwcwsLC0L179wqbb6Y6tVdj1iM/Px/Tp08XBSisrKzQr18/LF68GNu3b8dff/2FS5cu4fr167h165bwo++yjjWVMT47a8KcOdX9mmOs9lynTh306tVLSEdFRRW7T1SpVNi2bZuQtrS0xMCBA41SHyKSBntSkElzc3MTjTcE/l0tonPnzpVYq5IV7Q1hCE9PT0yePBmTJ09GVlYWrl27hsjISFy4cAHnzp0TzW6empqKcePGITw8HM8//7xUVQeAYkM7yjIPiGb356rY80VzGbsXX3zRZCZKlJKdnR2GDRuGYcOGIT8/H7du3cLly5dx4cIFnD59WvQ0LDc3FwsXLoRMJjNopv/qyMnJCaNHj8bo0aORm5uLqKgoXLp0CRcuXMCZM2dEqw48ffoUM2bMgKWlJbp37y55Xezt7YUv23l5ecjOztZrycKi9dPcnylwdHQUhg7k5+dDoVBI1pvi999/F8174uXlhbVr1+o1H0tNGN5RHpqfncuXLzdoUkt9OTg4COd9Wf4nFTXHlb73BNXtmqP5eow5d8tbb72FnTt3CumIiAjR/BeaKwX16NEDdevWNVp9iKj82JOCTJ7mqg07duww+hMHzXGThgQepLgQW1tbo0OHDpg4cSLWrl2Ls2fP4rPPPhMtFZiTk4PFixeX+1iaLC0tRd1gHz9+bPBcIHfv3hWljT123RicnJxEac3XVB2Zm5ujRYsWGD58OFasWIHTp0/jhx9+KDbZ2YoVK6rd/DDlYWlpicDAQIwePRqrV6/G2bNnsWLFCtGYd7VajQULFhhlaIBm+yo6e70+TLW9Fv28A6RdRaPo2HQAmD9/vt4TxqampkpWj+qovOdjWY7z7NkzpKSkGFTekHpVxD1Bdbvm1KtXT9R74u7du2V+iFOagIAA0XVq//79oiCU5oSZw4YNM0o9iEg6DFKQyRs5cqRovOTDhw+xd+9eox5T82mdIV/Ibt++LXV1YG1tjcGDByMiIkLUJf/SpUt6T3JniOeee06U1pxlvzSa+aWe0bsi2NraipaoS0xMNNrNtqmSy+UICgrC5s2b0bx5c2F7VlYWTp06VYk1M22Wlpbo1asXtm7dKprMLykpqdiKBFLQbK/6LvlbyFTbq+Zwv7Nnz0q277i4OOH3wqCwvgz9PKxpAgMDRem//vrLKMfRPO+vXLliUHlty5rqUhH3BNXtmmNjY4OmTZsK6aysLKN8/hV66623RMfas2cPAODBgwf4888/hb/5+voWWymGiEwPgxRk8ho3boxXX31VtG3x4sUGPzXRJj4+Xut2zSdBhgQejh8/Xp4qlcjDw0N0M61Wq0VdGIsqOk6+6FARfbRp00aUNiQolJmZiWPHjom2GbokoqnQnPm7cALTmsbS0hLBwcGibYYuKVgT2dvbo0ePHqJtut43zXktDGmz5WmvBQUF+O2330rcX2Xp1KmTKL1161bJeqIUfcpqY2Oj93j5uLg4g4NANU2LFi1EXf0vX74sWopSKprnqeZ5XJKbN28atPxoRd0TVLdrTseOHUVpzR4NUurdu7doguLCY23ZskX0ucFeFERVA4MUVCXMnDlT9CQjMzMTU6dOLdfQiu3bt2P8+PFa/+bv7y/q3nny5Em9uik+evTI6DcVmpNq6pq0r+i48vT0dIOGyAQHB4t6rxw4cEA0frskYWFhoi9Y7du3h7u7u97HNiXDhg0Tvd8bN2406Ma2OtHs7qzrvCMxfd83zXkgDBlS0KNHD9HqC5GRkThx4oReZcPDw0XH8vT0NJkgxUsvvYSGDRsK6fj4eKxbt06SfRd9v9PS0vS+lixdurRGrOZRHmZmZqKn2oVDnXQtVVlWPXr0EPUsPHz4MG7evKlX2a+++sqgY1XUPUF1u+YMGzZM9L7t2bNHtOS6lKysrESTYUZHR+PcuXPYvn27sM3a2hr9+vUzyvGJSFoMUlCV4OXlVWxG9cuXL2P48OEGP6GJi4vDtGnT8MEHHxRbQrBQ7dq10apVKyH98OFDhIeHl7hfpVKJadOm6T0Z14MHD7Bz506Dnpimpqbi9OnTQtrCwgIeHh5a8/r4+Ai/5+fnG9RV2svLC127dhWVnzFjBtLS0kosd/DgQWzatEm0bfTo0Xof19R4eXlhwIABQjonJwfjxo0zeEhPbm4uduzYIXX1ymz9+vWl/i+L0va0vej5VRM8e/YM4eHhBk3Qp1Qq8ccff4i26XrfNLcbMpzG1tYWgwYNEm378MMPdfYUK3Tx4sViX9ZCQkKMshxhWcjlckyYMEG0bcWKFdi3b5/e+9C1vGjRbugFBQV6TVC4cuXKYv9P0m706NGi3hRnz57F3LlzdV5zdXnw4IHOgJutra3o87mgoACzZs0qdSnP9evXF+vtV5qKuCcAqt81p2HDhujbt6+Qzs/Px9SpU/V+6AHobsPaDBs2TPT5NXv2bFH5Pn36SL6UMREZh2nciRDpoUePHnjvvfdE22JiYtCvXz/MmTMH58+f19lbIDs7G8ePH8ecOXPQq1cvHDhwoNTjaa6zvWTJEvz888/Fngap1WqcOnUKQ4cOxfnz54utjqFLZmYm5syZg1deeQXz58/HmTNnkJ2drTVv4TFGjBghWve8R48eOi+4mmOs586di02bNuGff/5BQkIC7t+/L/xo+8L6f//3f6LXcvv2bQwdOhQnT54sthycQqHAypUrMWvWLNFTxl69eqFLly6lvxkmbM6cOfD39xfSDx48wMCBA7FixQokJSXpLJednY3Tp09jwYIFCAoKwty5cyuiunpZtWoVXnnlFUybNg379+8v8aY+NjYWEyZMEI33rl+/Pl544YUKqKnpyMvLE/0vjx49WmLA4urVqwgJCRENx2rVqhUaN26sNb9me12yZAnWrFmDy5cvIy4uTtRetd20T506VRSwfPjwId566y3s27ev2BPfnJwchIeHIzQ0FM+ePRO2BwYGmlxX6IEDB+K1114T0nl5eZg5cybmzJmDO3fuaC2Tn5+P06dPY+7cuaJga1FFlywEgO+//x4rVqwQfb4WunPnDiZPnoxvvvkGALgqgB5sbW2xYsUKUa+APXv2oH///tizZ0+JwYrU1FRs374dEyZMQPfu3Uu8Xr/33ntwcXER0jExMRgyZAjOnDlTLG9GRgYWLFggTDit77W6kLHvCQpVt2vOhx9+CC8vLyGdkpKCoUOHYtWqVTqD5QqFAr/99hvGjBmDGTNm6H0sT09P0WTrDx48EP196NChBtaeiCoLlyClKmXSpEmoU6cOFi5cKPRAUKlU2LlzJ3bu3AkbGxs0adIEdevWhY2NDTIyMvDo0SPcu3dPawCgpGX6+vbti19++UXomlhQUICFCxdi9erVaNWqFezs7PDkyRNERUXh0aNHAP4dirF06VKMGzdO79f0+PFjbNq0CZs2bYJcLoe3tzfc3NyE7shpaWm4efNmsYt5vXr1MGfOHJ377dmzJ1asWCEs4Zeamor58+drzdu/f/9iK4W4ublhyZIlmDJlivBex8XFITQ0FPXr10ezZs1gY2OD1NRUXLlypdhNZ7NmzXQeryqxsbHB999/j9GjRwtfirKzs/Hdd9/hu+++g6enJ7y9vWFnZ4eCggI8ffoUiYmJiI+PN9pM5lLIycnBgQMHhC8A7u7u8PLygr29PSwtLfH06VPExsYWexovl8vx+eefFxt2VFMoFArs2LEDO3bsgEwmg5eXFzw8PGBvbw+5XI6MjAzExMQI7a5Q7dq1S2wP7dq1w3PPPSdMLKdQKLBs2TKtedu3b1/sKa6trS2++uorjB49WpjU7+HDh5gxYwYWLFiAFi1awMHBAenp6bh8+XKxL+Pu7u748ssviw1PMQWLFi1CWloazp8/D+DfL4GFn/keHh7w9vaGg4MDsrOzkZKSglu3bpX6xL5jx454+eWXRRPqfffdd9iwYQMCAgLg7OyMrKws3Lt3T7SqiI+PD4YOHYrPP//cOC+2GunYsSMWLVqEDz/8ULiGxMbG4v3338cHH3yAZs2awcXFBdbW1sjKykJmZibu3Llj0GTQ9vb2WLZsGcaOHSv8z+/du4eQkBC4u7vDz88P1tbWSElJwZUrV4QHGW5ubhgxYgSWLFmi97Eq6p6gul1z7O3tsXr1aowZM0b4XMzKykJYWBi++eYb+Pv7w83NDTY2NlAoFEhISBCtBNK+fXuDjjd8+HCtvW8CAgLQokWL8r8gIqoQNfMuk6q0YcOGoU2bNliwYEGxIQxKpVKvGb5r1aqFESNGlHjjIJfLhZv+ok/sMjIytE6EVbt2bSxZsgRBQUH6vxgNBQUFiImJKXUMapMmTbB69WrREyRNtWrVwqpVq/Duu++WeZLRV155BevWrcPUqVNFN47JycnFvoRpllu+fHm16Vbp5uaGbdu24eOPPy42KWFCQgISEhJK3YfmnAOmJjExUeckrIUcHBywZMmSYpO71VRqtRr37t0rdQZ+V1dXrFq1SvR0VJuvvvoK48aN09lDoDQtW7bEL7/8gokTJ4qCS2lpaTh58qTOcgEBAVi9enWxJT9NhY2NDdatW4cFCxZgy5Ytop5chb1LymL58uUYNWqUaMWBrKws/P3331rzN2vWDN9//z1XtjFAcHAwGjdujJkzZ4pWVMnLy9N7dY3SPjs7dOiAb7/9FlOnThX1btL1mebm5oYff/zRoNU9gIq9J6hu15wmTZpg27ZtmDZtGi5cuCBsV6lUuHHjBm7cuCHZsV566SV4enoWe4/Yi4KoauFwD6qS/Pz8sGHDBkRERGDQoEF6db+1tLRE+/btMX/+fJw8eRKzZs0q9SLu5uaGiIgIjBw5UmevCysrK/Tp0we7d+8uNpN/SZo0aYI1a9ZgxIgR8PX11WsceIsWLfDRRx9h9+7dou6TurRs2RL79+/Hp59+iu7du8PLywu2trYGPS1t27Ytfv/9d0yePFm0nKImMzMzBAYG4vvvv8f3339fbQIUhWxsbLBs2TLs3r0bwcHBenXhdXFxQd++ffH111+b1BebdevWYfLkyQgMDISVlVWp+Rs0aIBx48bh999/xyuvvGL8CpogOzs7bNy4EaGhoWjRooVePUkaN26MGTNm4NChQwgICCg1v6enJ3bv3o2lS5fi9ddfh4+PD+zs7AzqtdKkSRPs27cPH3zwQamfEU2bNsWSJUuwZcsWkw1QFLKwsMCnn36K3bt3o1evXqIJE7VxdHREnz59sH79ep157O3t8csvv+Ddd98VrQqgqXHjxpg1axZ+/fXXEj8DSbuWLVviwIEDWLp0KQIDA0s9n83MzNC8eXOEhoZi586d+OCDD0o9RufOnXHgwAH069dP52eao6MjRowYgV27dqFJkyZlei3GvCfQVJ2uOQDg7OyMTZs24bvvvkP79u1LPQ88PDwQEhKCTz75xKDjmJmZFRu2Zm9vj969extaZSKqRDK15uByoirq3r17uH37NpKTk6FUKqFSqWBvbw8HBwc0btwYfn5+sLCwKPP+s7OzcfHiRdy7dw9Pnz6Fvb093Nzc0LZtW9jZ2ZW7/gqFAjExMbh//z4eP36MrKwsmJubw9bWFu7u7kLX2MoWHR2NmzdvIj09Hc+ePYOjoyOcnZ3RunVr0URp1Z1KpcKtW7dw+/ZtZGZm4smTJ7CyshL+Xz4+PnBzc6vsapYqLy8Pt2/fRnx8PFJTU4VhADY2NnBxcYG/vz+8vLz0XqKxpsjOzkZMTAwSEhLw8OFDPHv2DDKZDLa2tnBzc4O/v79JrGoTHx+Pf/75B48fP4ZSqYSdnR2cnJzQqlWrKv2Fu/BJfEJCAtLT05GdnY3atWvDxcUFPj4+egd+C+Xm5uLKlSuIiYnBkydPYG1tDScnJ/j4+JTaA4YMo1AocOXKFSQnJyMzMxM5OTmwtraGo6MjGjVqBB8fn3IFuRUKBc6ePSvcC9SrVw8NGjRAmzZtRKvr7NixQzRvw6JFi0STVpbG2PcEmqrLNaeQQqFAZGQkUlJSkJGRAZVKJXx++vn56ZwUXB+//vor5s2bJ6TfeecdfPjhh1JUm4gqCIMURERERFSjlDdIQaZr0KBBuHbtmpDev39/jVuRiqiq43APIiIiIiKq8v755x9RgKJDhw4MUBBVQQxSEBERERFRlffjjz+K0iNGjKikmhBReTBIQUREREREVdrZs2dx8OBBId2wYUN07dq1EmtERGXFJUiJiIiIiKjKUCqVSE9PB/DvMst///03vv/+e9ESxVOnTjVoNTMiMh0MUhARERERUZVx6NAh0cSnmjp16oS+fftWYI2ISEoc7kFERERERNWCv78/li9fXtnVIKJyYE8KIiIiIiKqsmxtbdGkSRO8/vrreOutt2BpaVnZVSKicpCpiw7eIiIiIiIiIiKqJBzuQUREREREREQmgUEKIiIiIiIiIjIJDFIQERERERERkUlgkIKIiIiIiIiITAKDFERERERERERkEhikICIiIiIiIiKTwCAFEREREREREZkEBimIiIiIiIiIyCQwSEFEREREREREJoFBCiIiIiIiIiIyCQxSEBEREREREZFJYJCCiIiIiIiIiEwCgxREREREREREZBIYpCAiIiIiIiIik8AgBRERERERERGZBAYpiIiIiIiIiMgkMEhBRERERERERCaBQQoiIiIiIiIiMgkMUhARERERERGRSfh/0KGtwZouYCkAAAAASUVORK5CYII=",
"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 in the next period. Let's look at the four more promising customers."
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "f9748513",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 1175,
"width": 1667
}
},
"output_type": "display_data"
}
],
"source": [
"ids = [841, 1981, 157, 1516]\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 purchases in the next period\", 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": 52,
"id": "88c3534c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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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": 53,
"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": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"customer_1516 = rfm_data.loc[1515]\n",
"customer_1516"
]
},
{
"cell_type": "code",
"execution_count": 54,
"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": 57,
"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": 60,
"id": "ee66d183",
"metadata": {},
"outputs": [
{
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"
\n",
"
\n",
"
2353
\n",
"
2354
\n",
"
5.0
\n",
"
24.0
\n",
"
66.0
\n",
"
44.928000
\n",
"
\n",
"
\n",
"
2354
\n",
"
2355
\n",
"
1.0
\n",
"
44.0
\n",
"
66.0
\n",
"
24.600000
\n",
"
\n",
"
\n",
"
2355
\n",
"
2356
\n",
"
6.0
\n",
"
62.0
\n",
"
66.0
\n",
"
31.871667
\n",
"
\n",
" \n",
"
\n",
"
1126 rows × 5 columns
\n",
"
"
],
"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",
"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": 60,
"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": 61,
"id": "e8ccbfb7-1951-49fa-bf57-a43fbf5df4cc",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
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" \n",
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monetary_value
\n",
"
frequency
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" \n",
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monetary_value
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1.000000
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0.052819
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frequency
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0.052819
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1.000000
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],
"text/plain": [
" monetary_value frequency\n",
"monetary_value 1.000000 0.052819\n",
"frequency 0.052819 1.000000"
]
},
"execution_count": 61,
"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": 62,
"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": 62,
"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` approximates full Bayesian posterior using [MCMC](https://en.wikipedia.org/wiki/Markov_chain_Monte_Carlo) sampling provided by `pymc.sample`. If the full posterior is not needed or MCMC sampling is too slow, users can obtain the single [maximum a posteriori estimate](https://en.wikipedia.org/wiki/Maximum_a_posteriori_estimation) via the `fit_method` kwarg."
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "f8f280ad",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "36794169555942338f4b83b3e9d08a49",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"