{ "cells": [ { "cell_type": "markdown", "id": "55389f06-1bec-4baa-bcc4-a85d42f6431c", "metadata": {}, "source": [ "(lecture_18)=\n", "# Missing Data\n", ":::{post} Jan 7, 2024\n", ":tags: statistical rethinking, bayesian inference, missing data\n", ":category: intermediate\n", ":author: Dustin Stansbury\n", ":::\n", "\n", "This notebook is part of the PyMC port of the [Statistical Rethinking 2023](https://github.com/rmcelreath/stat_rethinking_2023) lecture series by Richard McElreath.\n", "\n", "[Video - Lecture 18 - Missing Data](https://youtu.be/Oeq6GChHOzc) # [Lecture 18 - Missing Data](https://www.youtube.com/watch?v=Oeq6GChHOzc)" ] }, { "cell_type": "code", "execution_count": 1, "id": "7ce86b62-6ebb-491e-b984-faa76e19a957", "metadata": {}, "outputs": [], "source": [ "# Ignore warnings\n", "import warnings\n", "\n", "import arviz as az\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "import statsmodels.formula.api as smf\n", "import utils as utils\n", "import xarray as xr\n", "\n", "from matplotlib import pyplot as plt\n", "from matplotlib import style\n", "from scipy import stats as stats\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "# Set matplotlib style\n", "STYLE = \"statistical-rethinking-2023.mplstyle\"\n", "style.use(STYLE)" ] }, { "cell_type": "markdown", "id": "ce9d77ee-8bfe-4c6e-b5fb-534132611034", "metadata": {}, "source": [ "# Missing Data, Found\n", "- Observed data is a special case\n", " - we trick ourselves into believing there is no error\n", " - no/little error is rare\n", "\n", "Most data are missing\n", " - but there's still information about the missing data. no data is fully missing with a generative model\n", " 1. constraints - e.g. heights are never negative, and bounded\n", " 2. relationships to other variables - e.g. weather affects our behavior, our behavior does not affect the weather\n" ] }, { "cell_type": "markdown", "id": "b2d1a058-a404-413f-8701-f2af36943a4c", "metadata": {}, "source": [ "## Dealing with missing data is a workflow\n", "\n", "#### What to do with missing data?\n", "\n", "- **Complete case analysis**: drop cases missing values\n", " - sometimes the right thing to do\n", " - depends on the context and causal assumptions\n", "- **Imputation**: fill the missing values with reasonable values that are based on the present values\n", " - often necessary and benefitial for accurate estimation\n", " \n", "## Dog ate my homework: looking a different missing data scenarios" ] }, { "cell_type": "code", "execution_count": 2, "id": "b2adc190-6dfa-4980-a109-564787dc1060", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "S\n", "\n", "S\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "S->H\n", "\n", "\n", "\n", "\n", "\n", "H*\n", "\n", "H*\n", "\n", "\n", "\n", "H->H*\n", "\n", "\n", "\n", "\n", "\n", "D\n", "\n", "D\n", "\n", "\n", "\n", "D->H*\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"S\", \"H\"), (\"H\", \"H*\"), (\"D\", \"H*\")],\n", " node_props={\n", " \"S\": {\"color\": \"red\"},\n", " \"H*\": {\"color\": \"red\"},\n", " \"H\": {\"style\": \"dashed\"},\n", " \"unobserved\": {\"style\": \"dashed\"},\n", " },\n", " edge_props={\n", " (\"S\", \"H\"): {\"color\": \"red\"},\n", " (\"H\", \"H*\"): {\"color\": \"red\"},\n", " },\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "ef579c92-2d90-4bd0-98db-4a862d32674b", "metadata": {}, "source": [ "- Student ability/knowledge state $S$\n", "- Students would receive score on homework $H$\n", "- We only get to observe the homework the teacher sees $H^*$\n", " - we don't get to observe the real score, because homework may not make it to teacher\n", " - e.g. the family dog $D$ randomly eats homework (missingness mechanism)\n", "\n", "### Dog usually benign" ] }, { "cell_type": "code", "execution_count": 3, "id": "72f0512c-a2b2-4dfc-8ef7-bd1e9ddfd8a5", "metadata": {}, "outputs": [], "source": [ "# Helper functions\n", "def plot_regression_line(x, y, color, label, **plot_kwargs):\n", " valid_idx = ~np.isnan(y)\n", "\n", " X = np.vstack((np.ones_like(x[valid_idx]), x[valid_idx])).T\n", " intercept, slope = np.linalg.lstsq(X, y[valid_idx])[0]\n", "\n", " xs = np.linspace(x.min(), x.max(), 10)\n", " ys = xs * slope + intercept\n", " utils.plot_line(xs, ys, color=color, label=label, **plot_kwargs)\n", "\n", "\n", "def plot_dog_homework(S, H, Hstar, title=None):\n", "\n", " utils.plot_scatter(S, H, color=\"k\", alpha=1, label=\"total\", s=10)\n", " plot_regression_line(S, H, label=\"total trend\", color=\"k\", alpha=0.5)\n", "\n", " utils.plot_scatter(S, Hstar, color=\"C0\", alpha=0.8, label=\"incomplete\")\n", " plot_regression_line(S, Hstar, label=\"incomplete trend\", color=\"C0\", alpha=0.5)\n", "\n", " plt.xlabel(\"S\")\n", " plt.ylabel(\"H\")\n", " plt.title(title)\n", " plt.legend();" ] }, { "cell_type": "markdown", "id": "cbd450bc-54d3-4e07-9c90-6ee6037f5fc6", "metadata": {}, "source": [ "#### Simulate random homework eating" ] }, { "cell_type": "code", "execution_count": 4, "id": "01c46413-2d7e-43bf-b269-6ed72d5b80e1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(123)\n", "n_homework = 100\n", "# Student knowledge\n", "S = stats.norm.rvs(size=n_homework)\n", "\n", "# Homework score\n", "mu_score = S * 0.5\n", "H = stats.norm.rvs(mu_score)\n", "\n", "# Dog eats 50% of of homework _at random_\n", "D = stats.bernoulli(0.5).rvs(size=n_homework)\n", "Hstar = H.copy()\n", "Hstar[D == 1] = np.nan\n", "\n", "plot_dog_homework(\n", " S, H, Hstar, title=\"Random missing data\\ncauses loss of precision; little/no bias\"\n", ")" ] }, { "cell_type": "markdown", "id": "d190cfef-ecb3-4e0f-bf9c-57afcca52367", "metadata": {}, "source": [ "- When losing outcomes randomly, we obtain a similar linear fit with the similar slope, and no little/no bias.\n", "- Thus dropping complete cases ok, but lose efficiency" ] }, { "cell_type": "markdown", "id": "04dc34bf-a63e-4400-93cb-5fde4cd3e2c5", "metadata": {}, "source": [ "### Dog eats homework based on cause of homework (student ability)\n", "\n", "Now the student's ability effects the dog's behavior (e.g. the student studies too much and doesn't feed the dog, and the dog is hungry)\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "d00f7b22-1e7e-4553-80ae-ececb19ad39b", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "S\n", "\n", "S\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "S->H\n", "\n", "\n", "\n", "\n", "\n", "D\n", "\n", "D\n", "\n", "\n", "\n", "S->D\n", "\n", "\n", "possible biasing path\n", "\n", "\n", "\n", "H*\n", "\n", "H*\n", "\n", "\n", "\n", "H->H*\n", "\n", "\n", "\n", "\n", "\n", "D->H*\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"S\", \"H\"), (\"H\", \"H*\"), (\"D\", \"H*\"), (\"S\", \"D\")],\n", " node_props={\n", " \"S\": {\"color\": \"blue\"},\n", " \"H*\": {\"color\": \"red\"},\n", " \"H\": {\"style\": \"dashed\"},\n", " \"unobserved\": {\"style\": \"dashed\"},\n", " },\n", " edge_props={\n", " (\"S\", \"H\"): {\"color\": \"red\"},\n", " (\"H\", \"H*\"): {\"color\": \"red\"},\n", " (\"S\", \"D\"): {\"color\": \"blue\", \"label\": \"possible biasing path\", \"fontcolor\": \"blue\"},\n", " (\"D\", \"H*\"): {\"color\": \"blue\"},\n", " },\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "dd7a49f1-86e9-4144-8ced-5b14b6e9527e", "metadata": {}, "source": [ "#### Simulate data where treatment effects oucome linearly" ] }, { "cell_type": "code", "execution_count": 6, "id": "205b5cb0-bd5e-484b-bf5d-b098be155442", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(12)\n", "n_homework = 100\n", "# Student knowledge\n", "S = stats.norm.rvs(size=n_homework)\n", "\n", "# Linear association between student ability and homework score\n", "mu_score = S * 0.5\n", "H = stats.norm.rvs(mu_score)\n", "\n", "# Dog eats based on the student's ability\n", "p_dog_eats_homework = np.where(S > 0, 0.9, 0)\n", "D = stats.bernoulli.rvs(p=p_dog_eats_homework)\n", "Hstar = H.copy()\n", "Hstar[D == 1] = np.nan\n", "\n", "plot_dog_homework(\n", " S,\n", " H,\n", " Hstar,\n", " title=\"Missing data conditioned on common cause\\nmay work for linear relationships (rare) \",\n", ")" ] }, { "cell_type": "markdown", "id": "70bf0da8-f2f7-4e47-bf1b-323228fa766c", "metadata": {}, "source": [ "When the association between student ability $S$ and homework sckor $H$ is linear, we can still get fairly similar linear fits from the total and incomplete sample, you just lose precision on one the upper end of the $S$ dimenions in this simulation" ] }, { "cell_type": "markdown", "id": "82d6b8bc-d5e4-438a-b158-244a3947e89a", "metadata": {}, "source": [ "#### Simulate data where treatment effects oucome nonlinearly" ] }, { "cell_type": "code", "execution_count": 7, "id": "24d3e4d2-ede2-44af-939f-af001665d772", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(1)\n", "n_homework = 100\n", "# Student knowledge\n", "S = stats.norm.rvs(size=n_homework)\n", "\n", "# Nonlinear association between student ability and homework score\n", "mu_score = 1 - np.exp(-0.7 * S)\n", "H = stats.norm.rvs(mu_score)\n", "\n", "# Dog eats all the homework of above-average students\n", "p_dog_eats_homework = np.where(S > 0, 1, 0)\n", "D = stats.bernoulli.rvs(p=p_dog_eats_homework)\n", "Hstar = H.copy()\n", "Hstar[D == 1] = np.nan\n", "\n", "plot_dog_homework(\n", " S,\n", " H,\n", " Hstar,\n", " title=\"Missing data based on common cause\\nvery bady for non-linear relationships (common)\",\n", ")" ] }, { "cell_type": "markdown", "id": "de35a432-e41c-47c0-b0c5-ce751f913744", "metadata": {}, "source": [ "- When the association between student ability $S$ and homework sckor $H$ is nonlinear, we now get very different linear fits from the total and incomplete sample\n", " - on nonlinearity: this is why we use generative models with scientifically-motivated functions: **functions matter**\n", "- Therefore need to correctly condition on the cause" ] }, { "cell_type": "markdown", "id": "e315f9c6-bb9e-44a3-8d51-99e8fd589b12", "metadata": {}, "source": [ "### Dog eats homework conditioned on the _state_ of homework itself" ] }, { "cell_type": "code", "execution_count": 8, "id": "5bf3349d-ce0a-4199-b056-5bfd516f6a4d", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "S\n", "\n", "S\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "S->H\n", "\n", "\n", "\n", "\n", "\n", "H*\n", "\n", "H*\n", "\n", "\n", "\n", "H->H*\n", "\n", "\n", "\n", "\n", "\n", "D\n", "\n", "D\n", "\n", "\n", "\n", "H->D\n", "\n", "\n", "biasing path\n", "\n", "\n", "\n", "D->H*\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"S\", \"H\"), (\"H\", \"H*\"), (\"D\", \"H*\"), (\"H\", \"D\")],\n", " node_props={\n", " \"H*\": {\"color\": \"red\"},\n", " \"H\": {\"style\": \"dashed\"},\n", " \"unobserved\": {\"style\": \"dashed\"},\n", " },\n", " edge_props={\n", " (\"S\", \"H\"): {\"color\": \"red\"},\n", " (\"H\", \"H*\"): {\"color\": \"red\"},\n", " (\"H\", \"D\"): {\"color\": \"blue\", \"label\": \"biasing path\", \"fontcolor\": \"blue\"},\n", " (\"D\", \"H*\"): {\"color\": \"blue\"},\n", " },\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "c02c88db-0f9c-4eb4-8462-f24a0d8bc8dd", "metadata": {}, "source": [ "#### Simulate some linear data" ] }, { "cell_type": "code", "execution_count": 9, "id": "40b69743-352b-4e33-ba0b-04fa0e449834", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(1)\n", "n_homework = 100\n", "# Student knowledge\n", "S = stats.norm.rvs(size=n_homework)\n", "\n", "# Linear association between ability and score\n", "mu_score = S * 0.5\n", "H = stats.norm.rvs(mu_score)\n", "\n", "# Dog eats 90% of homework that is below average\n", "p_dog_eats_homework = np.where(H < 0, 0.9, 0)\n", "D = stats.bernoulli.rvs(p=p_dog_eats_homework)\n", "Hstar = H.copy()\n", "Hstar[D == 1] = np.nan\n", "\n", "plot_dog_homework(\n", " S, H, Hstar, title=\"Missing data conditioned on outcome state\\nusually not benign\"\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "6d18dacb-9e44-4922-9f5a-9fe53c41347c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(1)\n", "n_homework = 100\n", "# Student knowledge\n", "S = stats.norm.rvs(size=n_homework)\n", "\n", "# Nonlinear association between student ability and homework score\n", "mu_score = 1 - np.exp(-0.9 * S)\n", "H = stats.norm.rvs(mu_score)\n", "\n", "# Dog eats 90% of homework that is below average\n", "p_dog_eats_homework = np.where(H < 0, 0.9, 0)\n", "D = stats.bernoulli.rvs(p=p_dog_eats_homework)\n", "Hstar = H.copy()\n", "Hstar[D == 1] = np.nan\n", "\n", "plot_dog_homework(\n", " S,\n", " H,\n", " Hstar,\n", " title=\"Missing data conditioned on outcome state\\nsimilar for nonlinear relationships\",\n", ")" ] }, { "cell_type": "markdown", "id": "ea84a022-e249-47cf-9b2a-634b0a54325c", "metadata": {}, "source": [ "- without knowing the causal relationship between the state and the data loss, and the functional forms of how $S$ is associated with $H$, it's difficult to account for this scenario" ] }, { "cell_type": "markdown", "id": "a119a0a6-be29-4419-a890-7ed29ab85b67", "metadata": {}, "source": [ "## Stereotypical cases\n", "\n", "1. Data loss is **random and indpendent of causes**\n", " - \"Dog eats homework randomly\"\n", " - Dropping complete cases ok, but lose efficiency\n", "3. Data loss is **conditioned on the cause**\n", " - \"Dog eats homework based on the student's study habits\"\n", " - Need to correctly condition on cause\n", "5. Data loss is **conditioned on the outcome**\n", " - \"Dog eats homeowork based on the score of the homework\"\n", " - This is usually hopeless unless we can model the causal process of how state affects data loss (i.e. the dog's behavior in this simulation)\n", " - e.g. survival analysis and censored data" ] }, { "cell_type": "markdown", "id": "eca66732-09d6-4488-aa75-af3237fc367e", "metadata": {}, "source": [ "## Bayesian Imputation\n", "\n", "- Works for **Stereotypical cases** 1), 2) and subsets of 3) (e.g. survival analysis)\n", "- Having a joint (Bayesian) model for all variables (observed data and parameters) provides a means for inferring reasonable bounds on the values that are missing\n", "\n", "### Imputing or Marginalizing\n", "- **Imputation**: compute a posterior probability distribution of the missing values\n", " - usually involves partial pooling\n", " - we've already done this to some extent with the missing district in the Bangladesh dataset\n", "- **Marginalizing unknowns**: average over the distribution of missing values using the posteriors for the other variables\n", " - no need to calculate posteriors for missing values\n", "\n", "#### When to impute? When to marginalize?\n", "- Sometimes imputation is unnecessary -- e.g. discrete variables\n", " - Marginalization works here\n", "- It's sometimes easier to impute\n", " - e.g. when the data loss process is well understood as in censoring in survival analysis\n", " - marginalization may be difficult for more exotic models\n" ] }, { "cell_type": "markdown", "id": "8671115d-ad4f-4298-9e9e-cc73b45a3366", "metadata": {}, "source": [ "# Revisiting Phylogenetic Regression" ] }, { "cell_type": "code", "execution_count": 11, "id": "13817365-7437-4884-af0f-48af22674dda", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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namegenusspeciessubspeciesspp_idgenus_idsocial_learningresearch_effortbrainbodygroup_sizegestationweaninglongevitysex_maturitymaternal_investment
0Allenopithecus_nigroviridisAllenopithecusnigroviridisNaN110.06.058.024655.0040.0NaN106.15276.0NaNNaN
1Allocebus_trichotisAllocebustrichotisNaN220.06.0NaN78.091.0NaNNaNNaNNaNNaN
2Alouatta_belzebulAlouattabelzebulNaN330.015.052.846395.007.4NaNNaNNaNNaNNaN
3Alouatta_carayaAlouattacarayaNaN430.045.052.635383.008.9185.92323.16243.61276.72509.08
4Alouatta_guaribaAlouattaguaribaNaN530.037.051.705175.007.4NaNNaNNaNNaNNaN
\n", "
" ], "text/plain": [ " name genus species subspecies \\\n", "0 Allenopithecus_nigroviridis Allenopithecus nigroviridis NaN \n", "1 Allocebus_trichotis Allocebus trichotis NaN \n", "2 Alouatta_belzebul Alouatta belzebul NaN \n", "3 Alouatta_caraya Alouatta caraya NaN \n", "4 Alouatta_guariba Alouatta guariba NaN \n", "\n", " spp_id genus_id social_learning research_effort brain body \\\n", "0 1 1 0.0 6.0 58.02 4655.00 \n", "1 2 2 0.0 6.0 NaN 78.09 \n", "2 3 3 0.0 15.0 52.84 6395.00 \n", "3 4 3 0.0 45.0 52.63 5383.00 \n", "4 5 3 0.0 37.0 51.70 5175.00 \n", "\n", " group_size gestation weaning longevity sex_maturity \\\n", "0 40.0 NaN 106.15 276.0 NaN \n", "1 1.0 NaN NaN NaN NaN \n", "2 7.4 NaN NaN NaN NaN \n", "3 8.9 185.92 323.16 243.6 1276.72 \n", "4 7.4 NaN NaN NaN NaN \n", "\n", " maternal_investment \n", "0 NaN \n", "1 NaN \n", "2 NaN \n", "3 509.08 \n", "4 NaN " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PRIMATES301 = utils.load_data(\"Primates301\")\n", "PRIMATES301.head()" ] }, { "cell_type": "markdown", "id": "5ec4271a-ba79-4e42-b1b5-d91b5a82eb40", "metadata": {}, "source": [ "- 301 Primate profiles\n", "- Life history traits\n", " - Body Mass $M$\n", " - Brain size $B$\n", " - Social Group Size $G$\n", "- Issues\n", " - Lots of **missing data**\n", " - Complete case analysis only includes 151 observations\n", " - measurement error\n", " - unobserved confounding\n", " \n", "## Imputing Primates\n", "\n", "- **Key Idea**: missing values have probability distributions\n", " - Express a causal model for each partially-observed variable\n", " - Replace each missing value with a parameter, and let the model proceed as normal\n", " - Duality of parameters and data:\n", " - In Bayes there is no distinction between params and data: missing value is just a parameter, observed value is data\n", " - e.g. one variable that _is_ available can inform us of reasonable values for missing variable associated with the observation\n", "- **Conceptually weired, technically awkward**" ] }, { "cell_type": "markdown", "id": "83fe98e1-28bf-433c-aa90-92751d5208da", "metadata": {}, "source": [ "#### Revisiting previous causal model" ] }, { "cell_type": "code", "execution_count": 12, "id": "8e8e6e63-54a2-4cf2-acdb-91a56621c738", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "B\n", "\n", "B\n", "\n", "\n", "\n", "G->B\n", "\n", "\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "M->G\n", "\n", "\n", "\n", "\n", "\n", "M->B\n", "\n", "\n", "\n", "\n", "\n", "u\n", "\n", "u\n", "\n", "\n", "\n", "u->G\n", "\n", "\n", "\n", "\n", "\n", "u->B\n", "\n", "\n", "\n", "\n", "\n", "u->M\n", "\n", "\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "H->u\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"G\", \"B\"), (\"M\", \"B\"), (\"M\", \"G\"), (\"u\", \"M\"), (\"u\", \"G\"), (\"u\", \"B\"), (\"H\", \"u\")],\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "09545530-b779-4629-9a27-69e836062f2c", "metadata": {}, "source": [ "- where $M,G,B$ are defined above\n", "- shared history $H$, which leads to\n", "- historical-based confounds $u$, which we try to capture with a phylogeny\n", "\n", "#### Let's now include how missing values may occur" ] }, { "cell_type": "code", "execution_count": 13, "id": "404c9f67-4490-40a9-a25a-c64004ae7234", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "B\n", "\n", "B\n", "\n", "\n", "\n", "G->B\n", "\n", "\n", "\n", "\n", "\n", "G*\n", "\n", "G*\n", "\n", "\n", "\n", "G->G*\n", "\n", "\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "M->G\n", "\n", "\n", "\n", "\n", "\n", "M->B\n", "\n", "\n", "\n", "\n", "\n", "u\n", "\n", "u\n", "\n", "\n", "\n", "u->G\n", "\n", "\n", "\n", "\n", "\n", "u->B\n", "\n", "\n", "\n", "\n", "\n", "u->M\n", "\n", "\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "H->u\n", "\n", "\n", "\n", "\n", "\n", "mG\n", "\n", "mG\n", "\n", "\n", "\n", "mG->G*\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[\n", " (\"G\", \"B\"),\n", " (\"M\", \"B\"),\n", " (\"M\", \"G\"),\n", " (\"u\", \"M\"),\n", " (\"u\", \"G\"),\n", " (\"u\", \"B\"),\n", " (\"H\", \"u\"),\n", " (\"G\", \"G*\"),\n", " (\"mG\", \"G*\"),\n", " ],\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "0ab339bb-2e41-42ef-907a-bef4b011f366", "metadata": {}, "source": [ "- We observe group size $G^*$, which has missing values for some observations/species\n", "- What influences the cause of missingness $m_G$?\n", " - often the assumption is that it's totally random, but this is highly unlikely\n", " - there are **many possible ways that missingness could occur**.\n" ] }, { "cell_type": "markdown", "id": "3110d667-4002-4900-b43d-49831b37ef19", "metadata": {}, "source": [ "#### Some hypotheses on what causes missing data..." ] }, { "cell_type": "code", "execution_count": 14, "id": "97f2d717-4a64-4cb9-a942-1ddcf2f53d37", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "B\n", "\n", "B\n", "\n", "\n", "\n", "G->B\n", "\n", "\n", "\n", "\n", "\n", "G*\n", "\n", "G*\n", "\n", "\n", "\n", "G->G*\n", "\n", "\n", "\n", "\n", "\n", "mG\n", "\n", "mG\n", "\n", "\n", "\n", "G->mG\n", "\n", "\n", "solitary species\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "M->G\n", "\n", "\n", "\n", "\n", "\n", "M->B\n", "\n", "\n", "\n", "\n", "\n", "M->mG\n", "\n", "\n", "larger species\n", "\n", "\n", "\n", "u\n", "\n", "u\n", "\n", "\n", "\n", "u->G\n", "\n", "\n", "\n", "\n", "\n", "u->B\n", "\n", "\n", "\n", "\n", "\n", "u->M\n", "\n", "\n", "\n", "\n", "\n", "u->mG\n", "\n", "\n", "anthro-narcisism\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "H->u\n", "\n", "\n", "\n", "\n", "\n", "mG->G*\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[\n", " (\"G\", \"B\"),\n", " (\"M\", \"B\"),\n", " (\"M\", \"G\"),\n", " (\"u\", \"M\"),\n", " (\"u\", \"G\"),\n", " (\"u\", \"B\"),\n", " (\"H\", \"u\"),\n", " (\"G\", \"G*\"),\n", " (\"mG\", \"G*\"),\n", " (\"M\", \"mG\"),\n", " (\"u\", \"mG\"),\n", " (\"G\", \"mG\"),\n", " ],\n", " edge_props={\n", " (\"u\", \"mG\"): {\"color\": \"blue\", \"fontcolor\": \"blue\", \"label\": \"anthro-narcisism\"},\n", " (\"M\", \"mG\"): {\"color\": \"darkcyan\", \"fontcolor\": \"darkcyan\", \"label\": \"larger species\"},\n", " (\"G\", \"mG\"): {\"color\": \"red\", \"fontcolor\": \"red\", \"label\": \"solitary species\"},\n", " },\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "da8e0de9-6c4e-47ee-9814-608bcb2e4449", "metadata": {}, "source": [ "- All the colored arrows, and assumptions/hypotheses, are potentially in play\n", " - **anthro-narcisism**: humans are more likely to study primates that are like them\n", " - **larger species** with larger body mass easier to count: e.g. some species might live in trees and are harder to observe\n", " - some species have little or no social group; these **solitary species** are difficult to observe and gather data on\n", "- Whatever the assumption, the goal is to **use causal model to infer the probability distribution of each missing value**\n", "- Uncertainty in each missing value will cascade through the model\n", " - again, no need to be clever\n", " - trust the axioms of probability" ] }, { "cell_type": "markdown", "id": "fd992d9b-7f01-4af2-a475-9831422f373f", "metadata": {}, "source": [ "## Modeling missing data for multiple variables simultaneously\n", "\n", "### $M, G, B$ all have missing values $M^*, G^*, B^*$" ] }, { "cell_type": "code", "execution_count": 15, "id": "3e366c8a-7550-4d80-9e17-a304e7a34da5", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "M->G\n", "\n", "\n", "\n", "\n", "\n", "B\n", "\n", "B\n", "\n", "\n", "\n", "M->B\n", "\n", "\n", "\n", "\n", "\n", "M*\n", "\n", "M*\n", "\n", "\n", "\n", "M->M*\n", "\n", "\n", "\n", "\n", "\n", "G->B\n", "\n", "\n", "\n", "\n", "\n", "G*\n", "\n", "G*\n", "\n", "\n", "\n", "G->G*\n", "\n", "\n", "\n", "\n", "\n", "B*\n", "\n", "B*\n", "\n", "\n", "\n", "B->B*\n", "\n", "\n", "\n", "\n", "\n", "mM\n", "\n", "mM\n", "\n", "\n", "\n", "mM->M*\n", "\n", "\n", "\n", "\n", "\n", "mB\n", "\n", "mB\n", "\n", "\n", "\n", "mB->B*\n", "\n", "\n", "\n", "\n", "\n", "mG\n", "\n", "mG\n", "\n", "\n", "\n", "mG->G*\n", "\n", "\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "u\n", "\n", "u\n", "\n", "\n", "\n", "H->u\n", "\n", "\n", "\n", "\n", "\n", "u->M\n", "\n", "\n", "\n", "\n", "\n", "u->G\n", "\n", "\n", "\n", "\n", "\n", "u->B\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[\n", " (\"M\", \"G\"),\n", " (\"M\", \"B\"),\n", " (\"G\", \"B\"),\n", " (\"M\", \"M*\"),\n", " (\"G\", \"G*\"),\n", " (\"B\", \"B*\"),\n", " (\"mM\", \"M*\"),\n", " (\"mB\", \"B*\"),\n", " (\"mG\", \"G*\"),\n", " (\"H\", \"u\"),\n", " (\"u\", \"G\"),\n", " (\"u\", \"M\"),\n", " (\"u\", \"B\"),\n", " ],\n", " node_props={\n", " \"G\": {\"style\": \"dashed\"},\n", " \"M\": {\"style\": \"dashed\"},\n", " \"B\": {\"style\": \"dashed\"},\n", " \"unobserved\": {\"style\": \"dashed\"},\n", " },\n", " graph_direction=\"LR\",\n", ")" ] }, { "cell_type": "markdown", "id": "bb871c9d-6475-44df-98a2-329e03cd9154", "metadata": {}, "source": [ "### Dealing with missing values in Brain Size $B$\n", "\n", "It turns out we already handled this using Gaussian processes in the original Phylogenetic Regression example. By leveraging local pooling offered by the Gaussian process, we fill in missing brain size $B$ values using information from species that are similar those species with missing values, but _do_ have values for $B$.\n", "\n", "The equivalent causal-sub-graph used to modele Brain Size in the \"Phylogenetic Regression\" section of [Lecture 16 - Gaussian Processes]()\n", "\n", "#### Brain Size $B$ Model\n", "\n", "Assuming missingness is totally at random" ] }, { "cell_type": "code", "execution_count": 16, "id": "c9f8f3ba-92cf-4570-b17a-aa784213633d", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "B\n", "\n", "B\n", "\n", "\n", "\n", "G->B\n", "\n", "\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "M->B\n", "\n", "\n", "\n", "\n", "\n", "u, D\n", "\n", "u, D\n", "\n", "\n", "\n", "u, D->B\n", "\n", "\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "H->u, D\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"G\", \"B\"), (\"M\", \"B\"), (\"u, D\", \"B\"), (\"H\", \"u, D\")], graph_direction=\"LR\"\n", ")" ] }, { "cell_type": "markdown", "id": "fa1e77ab-9d8f-48c7-bf8f-d94a7b381097", "metadata": {}, "source": [ "\n", "$$\n", "\\begin{align}\n", " \\textbf{B} &\\sim \\text{MVNormal}(\\mu_B, \\textbf{K}_B) \\\\\n", " \\mu_{B,i} &= \\alpha_B + \\beta_{GB} G_i + \\beta_{MB} M_i \\\\\n", " \\mathbf{K}_B &= \\eta_B^2 \\exp(-\\rho_B D_{jk})\\\\\n", " \\alpha_B &\\sim \\text{Normal}(0, 1) \\\\\n", " \\beta_{GB, MB} &\\sim \\text{Normal}(0, 1) \\\\\n", " \\eta_B^2 &\\sim \\text{HalfNormal}(1, 0.25)\\\\\n", " \\rho_B &\\sim \\text{HalfNormal}(3, 0.25)\n", "\\end{align}\n", "$$\n", "\n", "We can use a simular approach to simultaneously formulate parallel models for the other variables $G,M$ that may have missing values, a' la Full Luxury Bayes.\n" ] }, { "cell_type": "markdown", "id": "3127b96d-db94-4c5d-8ad5-e769ff870736", "metadata": {}, "source": [ "#### Group Size $G$ Model" ] }, { "cell_type": "code", "execution_count": 17, "id": "cab6483e-206f-49b4-869c-9a595b54efc9", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "M->G\n", "\n", "\n", "\n", "\n", "\n", "u, D\n", "\n", "u, D\n", "\n", "\n", "\n", "u, D->G\n", "\n", "\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "H->u, D\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(edge_list=[(\"M\", \"G\"), (\"u, D\", \"G\"), (\"H\", \"u, D\")], graph_direction=\"LR\")" ] }, { "cell_type": "markdown", "id": "2f3867e2-d088-423a-a3bc-892763cfc9b8", "metadata": {}, "source": [ "\n", "$$\n", "\\begin{align}\n", " \\textbf{G} &\\sim \\text{MVNormal}(\\mu_G, \\textbf{K}_G) \\\\\n", " \\mu_{G,i} &= \\alpha_G + \\beta_{MG} M_i \\\\\n", " \\mathbf{K}_G &= \\eta_G^2 \\exp(-\\rho_G D_{jk})\\\\\n", " \\alpha_G &\\sim \\text{Normal}(0, 1) \\\\\n", " \\beta_{MG} &\\sim \\text{Normal}(0, 1) \\\\\n", " \\eta_G^2 &\\sim \\text{HalfNormal}(1, 0.25)\\\\\n", " \\rho_G &\\sim \\text{HalfNormal}(3, 0.25)\n", "\\end{align}\n", "$$\n" ] }, { "cell_type": "markdown", "id": "467a2f66-8ba8-4219-989f-622c9ee9849a", "metadata": {}, "source": [ "#### Body Mass $M$ model" ] }, { "cell_type": "code", "execution_count": 18, "id": "110ddb8e-9983-4f1d-98c0-44e5f29a35e0", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "u, D\n", "\n", "u, D\n", "\n", "\n", "\n", "M\n", "\n", "M\n", "\n", "\n", "\n", "u, D->M\n", "\n", "\n", "\n", "\n", "\n", "H\n", "\n", "H\n", "\n", "\n", "\n", "H->u, D\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(edge_list=[(\"u, D\", \"M\"), (\"H\", \"u, D\")], graph_direction=\"LR\")" ] }, { "cell_type": "markdown", "id": "33e695b7-fbb3-41dd-b751-ecd7702c7dd6", "metadata": {}, "source": [ "$$\n", "\\begin{align}\n", " \\textbf{M} &\\sim \\text{MVNormal}(\\mathbf{0}, \\textbf{K}_M) \\\\\n", " \\mathbf{K}_M &= \\eta_M^2 \\exp(-\\rho_M D_{jk})\\\\\n", " \\eta_M^2 &\\sim \\text{HalfNormal}(1, 0.25)\\\\\n", " \\rho_M &\\sim \\text{HalfNormal}(3, 0.25)\n", "\\end{align}\n", "$$" ] }, { "cell_type": "markdown", "id": "7b6fbd34-54c7-4eaa-a0b0-6bfcbc1a4212", "metadata": {}, "source": [ "## Drawing the missing owl 🦉\n", "\n", "Building a model containing three simultaneous Gaussian processes has a lot of working parts. It's better to build up model complexity in small steps.\n", "\n", "1. Ignore cases with missing $B$ values (for now)\n", " - $B$ is the outcome, so any imputation would just be prediction\n", "2. Impute $G,M$ ignoring models for each\n", " - wrong model, correct process\n", " - allows us to see the consequences of adding complexity to model \n", "3. Impute $G$ using a $G$-specific submodel\n", "4. Impute $B,G,M$ using a submodel for each " ] }, { "cell_type": "markdown", "id": "2c55e2a3-16bb-4609-8a3a-7c92ab33f0dc", "metadata": {}, "source": [ "### 1. Ignore cases with missing $B$ values" ] }, { "cell_type": "markdown", "id": "c4568e6f-3693-43a2-a2ba-50e8d2166ccd", "metadata": {}, "source": [ "#### Filter out observations missing brain volume measurments" ] }, { "cell_type": "code", "execution_count": 19, "id": "aec235f1-e3c2-4b02-9ddc-ec541cac8997", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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namegenusspeciessubspeciesspp_idgenus_idsocial_learningresearch_effortbrainbodygroup_sizegestationweaninglongevitysex_maturitymaternal_investment
0Allenopithecus_nigroviridisAllenopithecusnigroviridisNaN110.06.058.024655.040.00NaN106.15276.0NaNNaN
2Alouatta_belzebulAlouattabelzebulNaN330.015.052.846395.07.40NaNNaNNaNNaNNaN
3Alouatta_carayaAlouattacarayaNaN430.045.052.635383.08.90185.92323.16243.61276.72509.08
4Alouatta_guaribaAlouattaguaribaNaN530.037.051.705175.07.40NaNNaNNaNNaNNaN
5Alouatta_palliataAlouattapalliataNaN633.079.049.886250.013.10185.42495.60300.01578.42681.02
...................................................
295Trachypithecus_phayreiTrachypithecusphayreiNaN296670.016.072.847475.012.90180.61305.87NaNNaN486.48
296Trachypithecus_pileatusTrachypithecuspileatusNaN297670.05.0103.6411794.08.50NaNNaNNaNNaNNaN
298Trachypithecus_vetulusTrachypithecusvetulusNaN299670.02.061.296237.08.35204.72245.78276.01113.70450.50
299Varecia_rubraVareciarubraNaN30068NaNNaN31.083470.0NaNNaNNaNNaNNaNNaN
300Varecia_variegata_variegataVareciavariegatavariegata301680.057.032.123575.02.80102.5090.73384.0701.52193.23
\n", "

184 rows × 16 columns

\n", "
" ], "text/plain": [ " name genus species subspecies \\\n", "0 Allenopithecus_nigroviridis Allenopithecus nigroviridis NaN \n", "2 Alouatta_belzebul Alouatta belzebul NaN \n", "3 Alouatta_caraya Alouatta caraya NaN \n", "4 Alouatta_guariba Alouatta guariba NaN \n", "5 Alouatta_palliata Alouatta palliata NaN \n", ".. ... ... ... ... \n", "295 Trachypithecus_phayrei Trachypithecus phayrei NaN \n", "296 Trachypithecus_pileatus Trachypithecus pileatus NaN \n", "298 Trachypithecus_vetulus Trachypithecus vetulus NaN \n", "299 Varecia_rubra Varecia rubra NaN \n", "300 Varecia_variegata_variegata Varecia variegata variegata \n", "\n", " spp_id genus_id social_learning research_effort brain body \\\n", "0 1 1 0.0 6.0 58.02 4655.0 \n", "2 3 3 0.0 15.0 52.84 6395.0 \n", "3 4 3 0.0 45.0 52.63 5383.0 \n", "4 5 3 0.0 37.0 51.70 5175.0 \n", "5 6 3 3.0 79.0 49.88 6250.0 \n", ".. ... ... ... ... ... ... \n", "295 296 67 0.0 16.0 72.84 7475.0 \n", "296 297 67 0.0 5.0 103.64 11794.0 \n", "298 299 67 0.0 2.0 61.29 6237.0 \n", "299 300 68 NaN NaN 31.08 3470.0 \n", "300 301 68 0.0 57.0 32.12 3575.0 \n", "\n", " group_size gestation weaning longevity sex_maturity \\\n", "0 40.00 NaN 106.15 276.0 NaN \n", "2 7.40 NaN NaN NaN NaN \n", "3 8.90 185.92 323.16 243.6 1276.72 \n", "4 7.40 NaN NaN NaN NaN \n", "5 13.10 185.42 495.60 300.0 1578.42 \n", ".. ... ... ... ... ... \n", "295 12.90 180.61 305.87 NaN NaN \n", "296 8.50 NaN NaN NaN NaN \n", "298 8.35 204.72 245.78 276.0 1113.70 \n", "299 NaN NaN NaN NaN NaN \n", "300 2.80 102.50 90.73 384.0 701.52 \n", "\n", " maternal_investment \n", "0 NaN \n", "2 NaN \n", "3 509.08 \n", "4 NaN \n", "5 681.02 \n", ".. ... \n", "295 486.48 \n", "296 NaN \n", "298 450.50 \n", "299 NaN \n", "300 193.23 \n", "\n", "[184 rows x 16 columns]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PRIMATES = PRIMATES301[PRIMATES301.brain.notna()]\n", "PRIMATES" ] }, { "cell_type": "markdown", "id": "8985b952-f281-412e-8156-a60ab91c612b", "metadata": {}, "source": [ "#### Cross-tabulate missingess for $G,M$ on the resulting dataset" ] }, { "cell_type": "code", "execution_count": 20, "id": "b17686a3-57f6-4ec6-ba83-0367d1dd7d25", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "33" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PRIMATES.group_size.isna().sum()" ] }, { "cell_type": "code", "execution_count": 21, "id": "cf834bb3-6bbf-427a-a67d-a570ddf38a40", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pattern of missingness:\n", "\n", "group_size False True \n", "body \n", "False 2 0\n", "True 31 151\n", "\n", "Correlation of missing values: 0.22\n" ] } ], "source": [ "print(\"Pattern of missingness:\\n\")\n", "print(utils.crosstab(PRIMATES.body.notna(), PRIMATES.group_size.notna()))\n", "print(\n", " f\"\\nCorrelation of missing values: {np.corrcoef(PRIMATES.body.isna(), PRIMATES.group_size.isna())[0][1]:0.2}\"\n", ")" ] }, { "cell_type": "markdown", "id": "6abc95bf-78e4-46e6-bdae-8eaacaa20a04", "metadata": {}, "source": [ "- True: Observed\n", "- False: Missing\n", "- Group size $G$ missing a lot of values (33)\n", "- Some correlation between the presence/absence of each variable" ] }, { "cell_type": "markdown", "id": "e91e751f-47aa-43aa-801b-260823a31bc1", "metadata": {}, "source": [ "### 2. Impute $G,M$ naively, ignoring models for each\n", "\n", "Idea here is to treat $G, M$ as independent random variables with no causes, e.g. standard Normals.\n", "\n", "$$\n", "M_i, G_i \\sim \\text{Normal}(0, 1) \\\\\n", "$$\n", "\n", "- This is not the correct model, but the correct starting place to build up the model gradually\n", "- Interpretation:\n", " - When $G_i$ is observed, the distribution is the likelihood for a standardized variable\n", " - When $G_i$ is missing, the distribution is the prior for the \"parameter\"" ] }, { "cell_type": "markdown", "id": "eb3ca205-807f-4475-9e8d-4189568eb59d", "metadata": {}, "source": [ "#### Fit the impuatation model that ignores the submodels for $G,M$\n", "##### Load the phlogenetic distance matrix" ] }, { "cell_type": "code", "execution_count": 22, "id": "6a580d7b-46d0-4248-b47c-9d50464aa973", "metadata": {}, "outputs": [], "source": [ "PRIMATES_DISTANCE_MATRIX = utils.load_data(\"Primates301_distance_matrix\").values\n", "\n", "# Filter out cases without $B$ values from the raw distance matrix\n", "PRIMATES_DISTANCE_MATRIX = PRIMATES_DISTANCE_MATRIX[PRIMATES.index][:, PRIMATES.index]\n", "\n", "# Rescale distances\n", "D_mat = PRIMATES_DISTANCE_MATRIX / PRIMATES_DISTANCE_MATRIX.max()\n", "assert D_mat.max() == 1" ] }, { "cell_type": "code", "execution_count": 23, "id": "453a3dac-918c-4ee9-ab45-0e3efd350792", "metadata": {}, "outputs": [], "source": [ "# Preprocess the data\n", "G_obs = utils.standardize(np.log(PRIMATES.group_size.values))\n", "N_G_missing = np.isnan(G_obs).sum()\n", "M_obs = utils.standardize(np.log(PRIMATES.body.values))\n", "N_M_missing = np.isnan(M_obs).sum()\n", "B_obs = utils.standardize(np.log(PRIMATES.brain.values))\n", "N_obs = len(B_obs)" ] }, { "cell_type": "markdown", "id": "a88cc291-1a17-4ad6-9a72-7bd60afc5658", "metadata": {}, "source": [ "#### Fit the naive imputation model" ] }, { "cell_type": "markdown", "id": "a191c7ee-c51a-438a-811e-c1b1f00b3810", "metadata": {}, "source": [ "Below is an implementation that uses PyMC's Gaussian process module." ] }, { "cell_type": "code", "execution_count": 24, "id": "e70d16c7-f5e5-43de-8345-38493cc5ad0c", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [], "source": [ "PRIMATE_ID, PRIMATE = pd.factorize(PRIMATES[\"name\"], sort=False)\n", "coords = {\"primate\": PRIMATE}\n", "\n", "\n", "class MeanBodyMassSocialGroupSize(pm.gp.mean.Linear):\n", " \"\"\"\n", " Custom mean function that separates Social Group Size and\n", " Body Mass effects from phylogeny\n", " \"\"\"\n", "\n", " def __init__(self, alpha, beta_G, beta_M, G, M):\n", " self.alpha = alpha\n", " self.beta_G = beta_G\n", " self.beta_M = beta_M\n", " self.G = G\n", " self.M = M\n", "\n", " def __call__(self, X):\n", " return self.alpha + self.beta_G * self.G + self.beta_M * self.M\n", "\n", "\n", "# with pm.Model(coords=coords) as naive_imputation_model:\n", "\n", "# # Priors\n", "# alpha = pm.Normal(\"alpha\", 0, 1)\n", "# beta_G = pm.Normal(\"beta_G\", 0, 0.5)\n", "# beta_M = pm.Normal(\"beta_M\", 0, 0.5)\n", "# sigma = pm.Exponential(\"sigma\", 1)\n", "\n", "# # Naive imputation for G, M\n", "# G = pm.Normal(\"G\", 0, 1, observed=G_obs, dims='primate')\n", "# M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims='primate')\n", "\n", "# mean_func = MeanBodyMassSocialGroupSize(alpha, beta_G, beta_M, G, M)\n", "\n", "# # Phylogenetic distance covariance prior, L1-kernel function\n", "# eta_squared = pm.TruncatedNormal(\"eta_squared\", 1, .25, lower=.01)\n", "# rho = pm.TruncatedNormal(\"rho\", 3, .25, lower=.01)\n", "# cov_func = eta_squared * pm.gp.cov.Exponential(1, ls=rho)\n", "\n", "# gp = pm.gp.Marginal(mean_func=mean_func, cov_func=cov_func)\n", "# gp.marginal_likelihood(\"B\", X=D_mat, y=B_obs, noise=sigma)\n", "\n", "# naive_imputation_inference = pm.sample(cores=1)" ] }, { "cell_type": "markdown", "id": "898b1039-224d-4e7e-a2ad-fcdf32919806", "metadata": {}, "source": [ "Below is an alternative implementation that builds the covariance function by hand, and directly models the dataset as a `MVNormal` with mean being the linear function of $G$ and $M$, and covariance defined by the kernel. I find that these `MVNormal` implementations track better with the results from the lecture." ] }, { "cell_type": "code", "execution_count": 25, "id": "7bbc5fe0-9417-44ad-a3d7-3c83630b4e0d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha, beta_G, beta_M, eta_squared, rho, G_unobserved, M_unobserved]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3df8abc00fb64271b64a88f85fb38572", "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 101 seconds.\n"
     ]
    }
   ],
   "source": [
    "def generate_L1_kernel_matrix(D, eta_squared, rho, smoothing=0.01):\n",
    "    K = eta_squared * pm.math.exp(-rho * D)\n",
    "    # Smooth the diagonal of the covariance matrix\n",
    "    N = D.shape[0]\n",
    "    K += np.eye(N) * smoothing\n",
    "    return K\n",
    "\n",
    "\n",
    "coords = {\"primate\": PRIMATES[\"name\"].values}\n",
    "with pm.Model(coords=coords) as naive_imputation_model:\n",
    "\n",
    "    # Priors\n",
    "    alpha = pm.Normal(\"alpha\", 0, 1)\n",
    "    beta_G = pm.Normal(\"beta_G\", 0, 0.5)\n",
    "    beta_M = pm.Normal(\"beta_M\", 0, 0.5)\n",
    "\n",
    "    # Phylogenetic distance covariance prior, L1-kernel function\n",
    "    eta_squared = pm.TruncatedNormal(\"eta_squared\", 1, 0.25, lower=0.001)\n",
    "    rho = pm.TruncatedNormal(\"rho\", 3, 0.25, lower=0.001)\n",
    "    # K = pm.Deterministic('K', generate_L1_kernel_matrix(D_mat, eta_squared, rho))\n",
    "    K = pm.Deterministic(\"K\", eta_squared * pm.math.exp(-rho * D_mat))\n",
    "\n",
    "    # Naive imputation for G, M\n",
    "    G = pm.Normal(\"G\", 0, 1, observed=G_obs, dims=\"primate\")\n",
    "    M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims=\"primate\")\n",
    "\n",
    "    # Likelihood for B\n",
    "    mu = alpha + beta_G * G + beta_M * M\n",
    "    pm.MvNormal(\"B\", mu=mu, cov=K, observed=B_obs)\n",
    "\n",
    "    naive_imputation_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3357b8e-7e54-4f4f-8044-c621155dd243",
   "metadata": {},
   "source": [
    "#### Demonstrate the effect of imputation\n",
    "##### $M$ Imputation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b6cefa3c-9389-4a80-a548-74751e86f823",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
M[Allenopithecus_nigroviridis]0.3350.00.3350.3350.00.04000.04000.0NaN
M[Alouatta_belzebul]0.5420.00.5420.5420.00.04000.04000.0NaN
M[Alouatta_caraya]0.4300.00.4300.4300.00.04000.04000.0NaN
M[Alouatta_guariba]0.4040.00.4040.4040.00.04000.04000.0NaN
M[Alouatta_palliata]0.5270.00.5270.5270.00.04000.04000.0NaN
..............................
M[Trachypithecus_phayrei]0.6430.00.6430.6430.00.04000.04000.0NaN
M[Trachypithecus_pileatus]0.9400.00.9400.9400.00.04000.04000.0NaN
M[Trachypithecus_vetulus]0.5260.00.5260.5260.00.04000.04000.0NaN
M[Varecia_rubra]0.1440.00.1440.1440.00.04000.04000.0NaN
M[Varecia_variegata_variegata]0.1640.00.1640.1640.00.04000.04000.0NaN
\n", "

184 rows × 9 columns

\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean \\\n", "M[Allenopithecus_nigroviridis] 0.335 0.0 0.335 0.335 0.0 \n", "M[Alouatta_belzebul] 0.542 0.0 0.542 0.542 0.0 \n", "M[Alouatta_caraya] 0.430 0.0 0.430 0.430 0.0 \n", "M[Alouatta_guariba] 0.404 0.0 0.404 0.404 0.0 \n", "M[Alouatta_palliata] 0.527 0.0 0.527 0.527 0.0 \n", "... ... ... ... ... ... \n", "M[Trachypithecus_phayrei] 0.643 0.0 0.643 0.643 0.0 \n", "M[Trachypithecus_pileatus] 0.940 0.0 0.940 0.940 0.0 \n", "M[Trachypithecus_vetulus] 0.526 0.0 0.526 0.526 0.0 \n", "M[Varecia_rubra] 0.144 0.0 0.144 0.144 0.0 \n", "M[Varecia_variegata_variegata] 0.164 0.0 0.164 0.164 0.0 \n", "\n", " mcse_sd ess_bulk ess_tail r_hat \n", "M[Allenopithecus_nigroviridis] 0.0 4000.0 4000.0 NaN \n", "M[Alouatta_belzebul] 0.0 4000.0 4000.0 NaN \n", "M[Alouatta_caraya] 0.0 4000.0 4000.0 NaN \n", "M[Alouatta_guariba] 0.0 4000.0 4000.0 NaN \n", "M[Alouatta_palliata] 0.0 4000.0 4000.0 NaN \n", "... ... ... ... ... \n", "M[Trachypithecus_phayrei] 0.0 4000.0 4000.0 NaN \n", "M[Trachypithecus_pileatus] 0.0 4000.0 4000.0 NaN \n", "M[Trachypithecus_vetulus] 0.0 4000.0 4000.0 NaN \n", "M[Varecia_rubra] 0.0 4000.0 4000.0 NaN \n", "M[Varecia_variegata_variegata] 0.0 4000.0 4000.0 NaN \n", "\n", "[184 rows x 9 columns]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Now all $M$ have imputed values\n", "az.summary(naive_imputation_inference, var_names=[\"M\"])" ] }, { "cell_type": "markdown", "id": "5d7bc828-3234-45d9-9eff-d60c30a5502d", "metadata": {}, "source": [ "##### Prior values for $M$" ] }, { "cell_type": "code", "execution_count": 27, "id": "81ea1bd6-9623-4dbc-8782-e9740f6fc511", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of missing M values: 2\n" ] }, { "data": { "text/html": [ "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
M_unobserved[0]-1.6830.235-2.110-1.2310.0020.0029282.02806.01.0
M_unobserved[1]-0.7380.095-0.924-0.5610.0010.0018413.03121.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", "M_unobserved[0] -1.683 0.235 -2.110 -1.231 0.002 0.002 9282.0 \n", "M_unobserved[1] -0.738 0.095 -0.924 -0.561 0.001 0.001 8413.0 \n", "\n", " ess_tail r_hat \n", "M_unobserved[0] 2806.0 1.0 \n", "M_unobserved[1] 3121.0 1.0 " ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Number of missing M values:\", N_M_missing)\n", "az.summary(naive_imputation_inference, var_names=[\"M_unobserved\"])" ] }, { "cell_type": "markdown", "id": "c81a464f-bd4f-46f7-a325-1c8f2618fa1a", "metadata": {}, "source": [ "##### $G$ Imputation" ] }, { "cell_type": "code", "execution_count": 28, "id": "3d528de3-a2d7-4a67-b4dc-096ab3594ac7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
G[Allenopithecus_nigroviridis]1.4020.0001.4021.4020.000.0004000.04000.0NaN
G[Alouatta_belzebul]0.0030.0000.0030.0030.000.0004000.04000.0NaN
G[Alouatta_caraya]0.1560.0000.1560.1560.000.0004000.04000.0NaN
G[Alouatta_guariba]0.0030.0000.0030.0030.000.0004000.04000.0NaN
G[Alouatta_palliata]0.4770.0000.4770.4770.000.0004000.04000.0NaN
..............................
G[Trachypithecus_phayrei]0.4640.0000.4640.4640.000.0004000.04000.0NaN
G[Trachypithecus_pileatus]0.1180.0000.1180.1180.000.0004000.04000.0NaN
G[Trachypithecus_vetulus]0.1030.0000.1030.1030.000.0004000.04000.0NaN
G[Varecia_rubra]0.0370.978-1.8121.8640.010.0178945.02991.01.0
G[Varecia_variegata_variegata]-0.8020.000-0.802-0.8020.000.0004000.04000.0NaN
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184 rows × 9 columns

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" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean \\\n", "G[Allenopithecus_nigroviridis] 1.402 0.000 1.402 1.402 0.00 \n", "G[Alouatta_belzebul] 0.003 0.000 0.003 0.003 0.00 \n", "G[Alouatta_caraya] 0.156 0.000 0.156 0.156 0.00 \n", "G[Alouatta_guariba] 0.003 0.000 0.003 0.003 0.00 \n", "G[Alouatta_palliata] 0.477 0.000 0.477 0.477 0.00 \n", "... ... ... ... ... ... \n", "G[Trachypithecus_phayrei] 0.464 0.000 0.464 0.464 0.00 \n", "G[Trachypithecus_pileatus] 0.118 0.000 0.118 0.118 0.00 \n", "G[Trachypithecus_vetulus] 0.103 0.000 0.103 0.103 0.00 \n", "G[Varecia_rubra] 0.037 0.978 -1.812 1.864 0.01 \n", "G[Varecia_variegata_variegata] -0.802 0.000 -0.802 -0.802 0.00 \n", "\n", " mcse_sd ess_bulk ess_tail r_hat \n", "G[Allenopithecus_nigroviridis] 0.000 4000.0 4000.0 NaN \n", "G[Alouatta_belzebul] 0.000 4000.0 4000.0 NaN \n", "G[Alouatta_caraya] 0.000 4000.0 4000.0 NaN \n", "G[Alouatta_guariba] 0.000 4000.0 4000.0 NaN \n", "G[Alouatta_palliata] 0.000 4000.0 4000.0 NaN \n", "... ... ... ... ... \n", "G[Trachypithecus_phayrei] 0.000 4000.0 4000.0 NaN \n", "G[Trachypithecus_pileatus] 0.000 4000.0 4000.0 NaN \n", "G[Trachypithecus_vetulus] 0.000 4000.0 4000.0 NaN \n", "G[Varecia_rubra] 0.017 8945.0 2991.0 1.0 \n", "G[Varecia_variegata_variegata] 0.000 4000.0 4000.0 NaN \n", "\n", "[184 rows x 9 columns]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Now all $G$ have imputed values\n", "az.summary(naive_imputation_inference, var_names=[\"G\"])" ] }, { "cell_type": "markdown", "id": "ce242296-dea9-4d24-8c02-82ca7e31630d", "metadata": {}, "source": [ "##### Prior Values for $G$" ] }, { "cell_type": "code", "execution_count": 29, "id": "2b0271d0-3d00-40b9-a6e7-65b830da134b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of missing G values: 33\n" ] }, { "data": { "text/html": [ "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
G_unobserved[0]-0.2101.032-2.1861.6860.0110.0178286.03046.01.0
G_unobserved[1]-0.0090.987-1.8171.8300.0110.0187500.02663.01.0
G_unobserved[2]0.0040.990-1.9341.6950.0100.0179082.03121.01.0
G_unobserved[3]-0.1061.015-1.9471.8050.0110.0198395.02736.01.0
G_unobserved[4]-0.0730.981-1.9661.6650.0100.01710506.02984.01.0
G_unobserved[5]0.0301.011-1.7302.0270.0100.01810854.02924.01.0
G_unobserved[6]0.0061.023-1.9471.9190.0100.0199689.02606.01.0
G_unobserved[7]-0.0301.013-2.0391.7240.0110.0198734.02729.01.0
G_unobserved[8]-0.0351.025-1.9551.8570.0100.0199599.02984.01.0
G_unobserved[9]-0.0140.978-1.9221.7400.0100.0188977.02510.01.0
G_unobserved[10]-0.0230.987-1.9031.7620.0100.0199082.02721.01.0
G_unobserved[11]-0.0541.022-1.9221.8310.0100.0189495.03107.01.0
G_unobserved[12]-0.0221.011-2.0521.7400.0110.0199152.02668.01.0
G_unobserved[13]-0.0411.020-1.9171.8950.0090.01912250.03031.01.0
G_unobserved[14]0.0341.004-1.8471.8700.0100.0189677.02851.01.0
G_unobserved[15]0.0001.029-1.9251.9280.0110.0198374.02855.01.0
G_unobserved[16]0.0330.996-1.9591.7840.0100.0179770.02902.01.0
G_unobserved[17]0.2530.989-1.5842.1170.0120.0166784.03225.01.0
G_unobserved[18]0.2331.017-1.6182.1820.0120.0177403.03166.01.0
G_unobserved[19]-0.0091.022-1.8101.9470.0110.0198880.02995.01.0
G_unobserved[20]0.0581.021-1.7712.0780.0110.0208258.02748.01.0
G_unobserved[21]0.0031.013-1.8631.9870.0110.0189313.02865.01.0
G_unobserved[22]-0.0101.008-1.9381.7620.0110.0188994.03179.01.0
G_unobserved[23]0.0250.990-1.8361.8730.0100.0179597.02876.01.0
G_unobserved[24]0.0231.011-1.9101.8610.0110.0198736.03096.01.0
G_unobserved[25]-0.0481.004-1.9501.7580.0110.0177598.02974.01.0
G_unobserved[26]-0.0490.994-1.9981.7020.0100.0199390.02874.01.0
G_unobserved[27]-0.0030.995-1.9211.8280.0110.0198586.02534.01.0
G_unobserved[28]-0.0121.025-1.9761.7530.0100.01810703.03207.01.0
G_unobserved[29]0.0090.997-1.8161.9040.0100.0189673.02836.01.0
G_unobserved[30]0.2341.038-1.6662.1730.0120.0176993.02869.01.0
G_unobserved[31]-0.0220.985-1.9091.8610.0110.0188694.02780.01.0
G_unobserved[32]0.0370.978-1.8121.8640.0100.0178945.02991.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", "G_unobserved[0] -0.210 1.032 -2.186 1.686 0.011 0.017 8286.0 \n", "G_unobserved[1] -0.009 0.987 -1.817 1.830 0.011 0.018 7500.0 \n", "G_unobserved[2] 0.004 0.990 -1.934 1.695 0.010 0.017 9082.0 \n", "G_unobserved[3] -0.106 1.015 -1.947 1.805 0.011 0.019 8395.0 \n", "G_unobserved[4] -0.073 0.981 -1.966 1.665 0.010 0.017 10506.0 \n", "G_unobserved[5] 0.030 1.011 -1.730 2.027 0.010 0.018 10854.0 \n", "G_unobserved[6] 0.006 1.023 -1.947 1.919 0.010 0.019 9689.0 \n", "G_unobserved[7] -0.030 1.013 -2.039 1.724 0.011 0.019 8734.0 \n", "G_unobserved[8] -0.035 1.025 -1.955 1.857 0.010 0.019 9599.0 \n", "G_unobserved[9] -0.014 0.978 -1.922 1.740 0.010 0.018 8977.0 \n", "G_unobserved[10] -0.023 0.987 -1.903 1.762 0.010 0.019 9082.0 \n", "G_unobserved[11] -0.054 1.022 -1.922 1.831 0.010 0.018 9495.0 \n", "G_unobserved[12] -0.022 1.011 -2.052 1.740 0.011 0.019 9152.0 \n", "G_unobserved[13] -0.041 1.020 -1.917 1.895 0.009 0.019 12250.0 \n", "G_unobserved[14] 0.034 1.004 -1.847 1.870 0.010 0.018 9677.0 \n", "G_unobserved[15] 0.000 1.029 -1.925 1.928 0.011 0.019 8374.0 \n", "G_unobserved[16] 0.033 0.996 -1.959 1.784 0.010 0.017 9770.0 \n", "G_unobserved[17] 0.253 0.989 -1.584 2.117 0.012 0.016 6784.0 \n", "G_unobserved[18] 0.233 1.017 -1.618 2.182 0.012 0.017 7403.0 \n", "G_unobserved[19] -0.009 1.022 -1.810 1.947 0.011 0.019 8880.0 \n", "G_unobserved[20] 0.058 1.021 -1.771 2.078 0.011 0.020 8258.0 \n", "G_unobserved[21] 0.003 1.013 -1.863 1.987 0.011 0.018 9313.0 \n", "G_unobserved[22] -0.010 1.008 -1.938 1.762 0.011 0.018 8994.0 \n", "G_unobserved[23] 0.025 0.990 -1.836 1.873 0.010 0.017 9597.0 \n", "G_unobserved[24] 0.023 1.011 -1.910 1.861 0.011 0.019 8736.0 \n", "G_unobserved[25] -0.048 1.004 -1.950 1.758 0.011 0.017 7598.0 \n", "G_unobserved[26] -0.049 0.994 -1.998 1.702 0.010 0.019 9390.0 \n", "G_unobserved[27] -0.003 0.995 -1.921 1.828 0.011 0.019 8586.0 \n", "G_unobserved[28] -0.012 1.025 -1.976 1.753 0.010 0.018 10703.0 \n", "G_unobserved[29] 0.009 0.997 -1.816 1.904 0.010 0.018 9673.0 \n", "G_unobserved[30] 0.234 1.038 -1.666 2.173 0.012 0.017 6993.0 \n", "G_unobserved[31] -0.022 0.985 -1.909 1.861 0.011 0.018 8694.0 \n", "G_unobserved[32] 0.037 0.978 -1.812 1.864 0.010 0.017 8945.0 \n", "\n", " ess_tail r_hat \n", "G_unobserved[0] 3046.0 1.0 \n", "G_unobserved[1] 2663.0 1.0 \n", "G_unobserved[2] 3121.0 1.0 \n", "G_unobserved[3] 2736.0 1.0 \n", "G_unobserved[4] 2984.0 1.0 \n", "G_unobserved[5] 2924.0 1.0 \n", "G_unobserved[6] 2606.0 1.0 \n", "G_unobserved[7] 2729.0 1.0 \n", "G_unobserved[8] 2984.0 1.0 \n", "G_unobserved[9] 2510.0 1.0 \n", "G_unobserved[10] 2721.0 1.0 \n", "G_unobserved[11] 3107.0 1.0 \n", "G_unobserved[12] 2668.0 1.0 \n", "G_unobserved[13] 3031.0 1.0 \n", "G_unobserved[14] 2851.0 1.0 \n", "G_unobserved[15] 2855.0 1.0 \n", "G_unobserved[16] 2902.0 1.0 \n", "G_unobserved[17] 3225.0 1.0 \n", "G_unobserved[18] 3166.0 1.0 \n", "G_unobserved[19] 2995.0 1.0 \n", "G_unobserved[20] 2748.0 1.0 \n", "G_unobserved[21] 2865.0 1.0 \n", "G_unobserved[22] 3179.0 1.0 \n", "G_unobserved[23] 2876.0 1.0 \n", "G_unobserved[24] 3096.0 1.0 \n", "G_unobserved[25] 2974.0 1.0 \n", "G_unobserved[26] 2874.0 1.0 \n", "G_unobserved[27] 2534.0 1.0 \n", "G_unobserved[28] 3207.0 1.0 \n", "G_unobserved[29] 2836.0 1.0 \n", "G_unobserved[30] 2869.0 1.0 \n", "G_unobserved[31] 2780.0 1.0 \n", "G_unobserved[32] 2991.0 1.0 " ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Number of missing G values:\", N_G_missing)\n", "az.summary(naive_imputation_inference, var_names=[\"G_unobserved\"])" ] }, { "cell_type": "markdown", "id": "6bea4528-90c6-4ccb-966c-bfbd9ab171c8", "metadata": {}, "source": [ "#### Plot posterior imputation" ] }, { "cell_type": "code", "execution_count": 30, "id": "15540398-154d-456d-b9fb-af5c17960924", "metadata": {}, "outputs": [], "source": [ "def plot_posterior_imputation(\n", " xvar, yvar, inference, impute_color=\"C0\", impute_x=False, impute_y=False, title=None\n", "):\n", " plot_data = pd.DataFrame({\"G\": G_obs, \"M\": M_obs, \"B\": B_obs})\n", " # Plot observed\n", " utils.plot_scatter(plot_data[xvar], plot_data[yvar], color=\"k\", label=\"observed\")\n", "\n", " # Get and plot imputed\n", " impute_x_values = None\n", " impute_y_values = None\n", " if impute_x and f\"{xvar}_unobserved\" in inference.posterior:\n", " x_impute_idx = plot_data[plot_data[xvar].isnull()].index.values\n", " impute_x_values = az.summary(inference, var_names=[f\"{xvar}_unobserved\"])[\"mean\"].values\n", "\n", " if impute_y and f\"{yvar}_unobserved\" in inference.posterior:\n", " y_impute_idx = plot_data[plot_data[yvar].isnull()].index.values\n", " impute_y_values = az.summary(inference, var_names=[f\"{yvar}_unobserved\"])[\"mean\"].values\n", "\n", " if impute_x_values is None:\n", " impute_x_values = plot_data.loc[y_impute_idx, xvar].values\n", "\n", " if impute_y_values is None:\n", " impute_y_values = plot_data.loc[x_impute_idx, yvar].values\n", "\n", " utils.plot_scatter(\n", " impute_x_values, impute_y_values, color=impute_color, label=\"imputed\", alpha=1, s=100\n", " )\n", "\n", " plt.xlabel(f\"${xvar}$ (standardized)\")\n", " plt.ylabel(f\"${yvar}$ (standardized)\")\n", " plt.legend()\n", " plt.title(title)" ] }, { "cell_type": "markdown", "id": "0c79e05c-8815-4f6d-9d97-4c88bbedf56a", "metadata": {}, "source": [ "#### Looking at imputed values" ] }, { "cell_type": "code", "execution_count": 31, "id": "dadf463e-61e9-4316-b3c7-e78ac5c6b9af", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_posterior_imputation(\n", " \"M\", \"B\", naive_imputation_inference, impute_x=True, title=\"Naviely Imputed $M$ values with $B$\"\n", ")" ] }, { "cell_type": "markdown", "id": "fdfde9df-fc38-4d94-912a-4d989515a979", "metadata": {}, "source": [ "- Because $M$ is strongly associated with $B$, the imputed $M$ values follow the linear relationship" ] }, { "cell_type": "code", "execution_count": 32, "id": "4f9acf70-89d7-471c-bf0a-e0a628ef9d79", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_posterior_imputation(\n", " \"M\", \"G\", naive_imputation_inference, impute_y=True, title=\"Naively Imputed $M$ values with $G$\"\n", ")" ] }, { "cell_type": "markdown", "id": "5e2c580c-575b-49e3-b082-649f6cbdb23b", "metadata": {}, "source": [ "- Because the association between $M$ and $G$ isn't modeled, imputed values doesn't follow the linear trend between $M$ and $G$\n", "- We've left some information on the table; this is the result of ignoring the full generative model" ] }, { "cell_type": "markdown", "id": "0547582d-899e-408d-b003-c9f64c9a9ce4", "metadata": {}, "source": [ "### Complete case model for comparison\n", "\n", "Here we'll fit a complet-cases-only model where there's no need for imputation, but we throw away data." ] }, { "cell_type": "code", "execution_count": 33, "id": "6c488a3d-da80-4a23-9e13-3b9dac2425be", "metadata": {}, "outputs": [], "source": [ "# Complete Case\n", "PRIMATES_CC = PRIMATES301.query(\n", " \"brain.notnull() and body.notnull() and group_size.notnull()\", engine=\"python\"\n", ")\n", "\n", "G_CC = utils.standardize(np.log(PRIMATES_CC.group_size.values))\n", "M_CC = utils.standardize(np.log(PRIMATES_CC.body.values))\n", "B_CC = utils.standardize(np.log(PRIMATES_CC.brain.values))\n", "\n", "# Get complete case distance matrix\n", "PRIMATES_DISTANCE_MATRIX_CC = utils.load_data(\"Primates301_distance_matrix\").values\n", "\n", "# Filter out incomplete cases\n", "PRIMATES_DISTANCE_MATRIX_CC = PRIMATES_DISTANCE_MATRIX_CC[PRIMATES_CC.index][:, PRIMATES_CC.index]\n", "\n", "# Rescale distances to [0, 1]\n", "D_mat_CC = PRIMATES_DISTANCE_MATRIX_CC / PRIMATES_DISTANCE_MATRIX_CC.max()\n", "assert D_mat_CC.max() == 1" ] }, { "cell_type": "markdown", "id": "36c45a5d-c8c8-49b5-aaa2-58b25b15b959", "metadata": {}, "source": [ "Below is an implementation that uses PyMC's Gaussian process module." ] }, { "cell_type": "code", "execution_count": 34, "id": "a130c51c-1a57-4b1f-9972-ec62a24dc685", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [], "source": [ "# with pm.Model() as complete_case_model:\n", "\n", "# # Priors\n", "# alpha = pm.Normal(\"alpha\", 0, 1)\n", "# beta_G = pm.Normal(\"beta_GB\", 0, 0.5)\n", "# beta_M = pm.Normal(\"beta_MB\", 0, 0.5)\n", "# sigma = pm.Exponential(\"sigma\", 1)\n", "\n", "# # Phylogenetic distance covariance\n", "# mean_func = MeanBodyMassSocialGroupSize(alpha, beta_G, beta_M, G_CC, M_CC)\n", "\n", "# # Phylogenetic distance covariance prior, L1-kernel function\n", "# eta_squared = pm.TruncatedNormal(\"eta_squared\", 1, .25, lower=.01)\n", "# rho = pm.TruncatedNormal(\"rho\", 3, .25, lower=.01)\n", "# cov_func = eta_squared * pm.gp.cov.Exponential(1, ls=rho)\n", "\n", "# gp = pm.gp.Marginal(mean_func=mean_func, cov_func=cov_func)\n", "# gp.marginal_likelihood(\"B\", X=D_mat_CC, y=B_CC, noise=sigma)\n", "\n", "# complete_case_inference = pm.sample(target_accept=.95)" ] }, { "cell_type": "markdown", "id": "4dd55250-f118-4d0a-a521-252332424585", "metadata": {}, "source": [ "Below is an alternative implementation that builds the covariance function by hand, and directly models the dataset as a `MVNormal` with mean being the linear function of $G$ and $M$, and covariance defined by the kernel. I find that these `MVNormal` implementations track better with the results from the lecture." ] }, { "cell_type": "code", "execution_count": 35, "id": "f89e9670-11a9-43a1-b806-d7d0c6477071", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha, beta_G, beta_M, eta_squared, rho]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a023b99d6d224094a6c26465edf69a47", "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 27 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as complete_case_model:\n",
    "\n",
    "    # Priors\n",
    "    alpha = pm.Normal(\"alpha\", 0, 1)\n",
    "    beta_G = pm.Normal(\"beta_G\", 0, 0.5)\n",
    "    beta_M = pm.Normal(\"beta_M\", 0, 0.5)\n",
    "\n",
    "    # Phylogenetic distance covariance\n",
    "    eta_squared = pm.TruncatedNormal(\"eta_squared\", 1, 0.25, lower=0.001)\n",
    "    rho = pm.TruncatedNormal(\"rho\", 3, 0.25, lower=0.001)\n",
    "\n",
    "    K = pm.Deterministic(\n",
    "        \"K\", generate_L1_kernel_matrix(D_mat_CC, eta_squared, rho, smoothing=0.001)\n",
    "    )\n",
    "    # K = pm.Deterministic('K', eta_squared * pm.math.exp(-rho * D_mat_CC))\n",
    "\n",
    "    # Likelihood\n",
    "    mu = alpha + beta_G * G_CC + beta_M * M_CC\n",
    "    pm.MvNormal(\"B\", mu=mu, cov=K, observed=B_CC)\n",
    "    complete_case_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a6044a0-a5d9-43bb-bc4c-e4b495ad3bcd",
   "metadata": {},
   "source": [
    "### Compare posteriors for naively-imputed and complete case model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "51c6f3a6-eef7-4f46-847b-538d355d3e00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_dist(complete_case_inference.posterior[\"beta_G\"], label=\"complete case\", color=\"k\")\n", "az.plot_dist(naive_imputation_inference.posterior[\"beta_G\"], label=\"imputed\", color=\"C0\")\n", "plt.axvline(0, linestyle=\"--\", color=\"k\", label=\"no effect\")\n", "plt.xlabel(\"effect of Social Group size on Brain size, $\\\\beta_G$\")\n", "plt.ylabel(\"density\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "96f1a5e2-e8b2-463b-a7b1-8c40cf5c6f6c", "metadata": {}, "source": [ "- we can see that the posterior for the imputed model attenuates the effect of Group size on Brain Size" ] }, { "cell_type": "markdown", "id": "2d56e7e0-3360-4ece-a0ba-588cbe146a62", "metadata": {}, "source": [ "### 3. Impute $G$ using a $G$-specific submodels\n", "\n", "Add the generative model for Group Size. But, again, we'll do this in baby steps, slowly building complexity\n", "\n", "1) Model that only models effect of body mass on group size $M \\rightarrow G$\n", "2) Model that only includes Social group phylogentic interactions\n", "3) Model that combines phylogeny and $M \\rightarrow G$" ] }, { "cell_type": "markdown", "id": "2d68a84a-a5fe-419e-95a5-9357e230c2ab", "metadata": {}, "source": [ "#### 1. Model that only models effect of body mass on group size $M \\rightarrow G$" ] }, { "cell_type": "markdown", "id": "21f3c4bd-f32c-411d-9f33-5f093ee64890", "metadata": {}, "source": [ "Below is an implementation that uses PyMC's Gaussian process module." ] }, { "cell_type": "code", "execution_count": 37, "id": "764da117-f210-433f-8f75-f0e2e09bd2e8", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [], "source": [ "# PRIMATE_ID, PRIMATE = pd.factorize(PRIMATES['name'].values)\n", "# coords = {'primate': PRIMATE}\n", "\n", "# with pm.Model(coords=coords) as G_body_mass_model:\n", "\n", "# # Priors\n", "# alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n", "# beta_MG = pm.Normal(\"beta_MG\", 0, 0.5)\n", "# sigma_G = pm.Exponential(\"sigma_G\", 1)\n", "\n", "# alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n", "# beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n", "# beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n", "# sigma_B = pm.Exponential(\"sigma_B\", 1)\n", "\n", "# # Naive imputation for M\n", "# M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims='primate')\n", "\n", "# # G model M->G (performs imputation)\n", "# mu_G = alpha_G + beta_MG * M\n", "# G = pm.Normal(\"G\", mu_G, sigma_G, observed=G_obs)\n", "\n", "# # B Model\n", "# eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, .25, lower=.01)\n", "# rho_B = pm.TruncatedNormal(\"rho_B\", 3, .25, lower=.01)\n", "# cov_func_B = eta_squared_B * pm.gp.cov.Exponential(1, ls=rho_B)\n", "# mean_func_B = MeanBodyMassSocialGroupSize(alpha_B, beta_GB, beta_MB, G, M)\n", "\n", "# # Gaussian Process\n", "# gp_B = pm.gp.Marginal(mean_func=mean_func_B, cov_func=cov_func_B)\n", "# gp_B.marginal_likelihood(\"B\", X=D_mat, y=B_obs, noise=sigma_B)\n", "\n", "# G_body_mass_inference = pm.sample(target_accept=.95, cores=1)" ] }, { "cell_type": "markdown", "id": "92d1a0c2-ce90-4744-a7fc-b30fcf923fdd", "metadata": {}, "source": [ "Below is an alternative implementation that builds the covariance function by hand, and directly models the dataset as a `MVNormal` with mean being the linear function of $G$ and $M$, and covariance defined by the kernel. I find that these `MVNormal` implementations track better with the results from the lecture." ] }, { "cell_type": "code", "execution_count": 38, "id": "94c1a37e-d13d-46de-85ff-a9c32de3d22e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha_B, beta_GB, beta_MB, alpha_G, beta_MG, sigma_G, M_unobserved, G_unobserved, eta_squared_B, rho_B]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0203a464af7c4d798acb59a1a1f7e1ab", "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 103 seconds.\n"
     ]
    }
   ],
   "source": [
    "PRIMATE_ID, PRIMATE = pd.factorize(PRIMATES[\"name\"].values)\n",
    "coords = {\"primate\": PRIMATE}\n",
    "\n",
    "with pm.Model(coords=coords) as G_body_mass_model:\n",
    "\n",
    "    # Priors\n",
    "    alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n",
    "    beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n",
    "    beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n",
    "\n",
    "    alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n",
    "    beta_MG = pm.Normal(\"beta_MG\", 0, 0.5)\n",
    "    sigma_G = pm.Exponential(\"sigma_G\", 1)\n",
    "\n",
    "    # Naive imputation for M\n",
    "    M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims=\"primate\")\n",
    "\n",
    "    # Body-mass only, no interactions\n",
    "    mu_G = alpha_G + beta_MG * M\n",
    "    G = pm.Normal(\"G\", mu_G, sigma_G, observed=G_obs)\n",
    "\n",
    "    # B Model\n",
    "    eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, 0.25, lower=0.001)\n",
    "    rho_B = pm.TruncatedNormal(\"rho_B\", 3, 0.25, lower=0.001)\n",
    "    K_B = pm.Deterministic(\"K_B\", eta_squared_B * pm.math.exp(-rho_B * D_mat))\n",
    "\n",
    "    # Likelihood for B\n",
    "    mu_B = alpha_B + beta_GB * G + beta_MB * M\n",
    "    pm.MvNormal(\"B\", mu=mu_B, cov=K_B, observed=B_obs)\n",
    "\n",
    "    G_body_mass_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e0101db-90b4-41fa-af37-d9fddebe1f46",
   "metadata": {},
   "source": [
    "##### Look at $M \\rightarrow G$-only imputation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "9296c714-92a1-4b76-a408-95cb8e7a52a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_posterior_imputation(\n", " \"M\", \"G\", G_body_mass_inference, impute_y=True, title=\"$M \\\\rightarrow G$ model\"\n", ")" ] }, { "cell_type": "markdown", "id": "f738f01e-9341-499c-b961-371923a0c2bc", "metadata": {}, "source": [ "- By modeling the effect of $M$ on $G$, we're able to capture the linear trend for; imputed variables lie along this trend\n", "- However, by ignoring phylogenetic similarity, we aren't able to capture nonlinearities in the data\n", " - e.g. some species with small group size lying along the lower left of the plot do not follow the linear trend" ] }, { "cell_type": "markdown", "id": "acb680e6-96dc-4911-915a-b4cfaf87e229", "metadata": {}, "source": [ "#### 2. Model that only includes Social group phylogentic interactions" ] }, { "cell_type": "markdown", "id": "525cc56d-9d50-4d57-a320-d83412af1b1b", "metadata": {}, "source": [ "Below is an implementation that uses PyMC's Gaussian process module." ] }, { "cell_type": "code", "execution_count": 40, "id": "ed0517c9-06ac-4ba0-9c9a-066f568fb6bf", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [], "source": [ "# PRIMATE_ID, PRIMATE = pd.factorize(PRIMATES['name'].values)\n", "# coords = {'primate': PRIMATE}\n", "\n", "# with pm.Model(coords=coords) as G_phylogeny_model:\n", "\n", "# # Priors\n", "# alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n", "# sigma_G = pm.Exponential(\"sigma_G\", 1)\n", "\n", "# alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n", "# beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n", "# beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n", "# sigma_B = pm.Exponential(\"sigma_B\", 1)\n", "\n", "# # Naive imputation for M\n", "# M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims='primate')\n", "\n", "# # G model, interactions only\n", "# mean_func_G = MeanBodyMassSocialGroupSize(alpha_G, 0, 0, 0, 0)\n", "\n", "# eta_squared_G = pm.TruncatedNormal(\"eta_squared_G\", 1, .25, lower=.01)\n", "# rho_G = pm.TruncatedNormal(\"rho_G\", 3, .25, lower=.01)\n", "# cov_func_G = eta_squared_G * pm.gp.cov.Exponential(1, ls=rho_G)\n", "\n", "# gp_G = pm.gp.Marginal(mean_func=mean_func_G, cov_func=cov_func_G)\n", "# G = gp_G.marginal_likelihood(\"G\", X=D_mat, y=G_obs, noise=sigma_G)\n", "\n", "# # B Model\n", "# mean_func_B = MeanBodyMassSocialGroupSize(alpha_B, beta_GB, beta_MB, G, M)\n", "\n", "# eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, .25, lower=.01)\n", "# rho_B = pm.TruncatedNormal(\"rho_B\", 3, .25, lower=.01)\n", "# cov_func_B = eta_squared_B * pm.gp.cov.Exponential(1, ls=rho_B)\n", "\n", "# gp_B = pm.gp.Marginal(mean_func=mean_func_B, cov_func=cov_func_B)\n", "# gp_B.marginal_likelihood(\"B\", X=D_mat, y=B_obs, noise=sigma_B)\n", "\n", "# G_phylogeny_inference = pm.sample(target_accept=.95, cores=1)" ] }, { "cell_type": "markdown", "id": "31fb1582-612c-483a-a2fd-d49fa820afb2", "metadata": {}, "source": [ "Below is an alternative implementation that builds the covariance function by hand, and directly models the dataset as a `MVNormal` with mean being the linear function of $G$ and $M$, and covariance defined by the kernel. I find that these `MVNormal` implementations track better with the results from lecture." ] }, { "cell_type": "code", "execution_count": 41, "id": "ffc62d0b-52b3-4854-a8e6-5e23ee4e10fa", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha_B, beta_GB, beta_MB, alpha_G, beta_MG, M_unobserved, eta_squared_G, rho_G, G_unobserved, eta_squared_B, rho_B]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5ea9a066a4d544e0ad0002266d112e85", "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 200 seconds.\n"
     ]
    }
   ],
   "source": [
    "coords = {\"primate\": PRIMATES[\"name\"].values}\n",
    "with pm.Model(coords=coords) as G_phylogeny_model:\n",
    "\n",
    "    # Priors\n",
    "    alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n",
    "    beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n",
    "    beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n",
    "\n",
    "    alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n",
    "    beta_MG = pm.Normal(\"beta_MG\", 0, 0.5)\n",
    "\n",
    "    # Naive imputation for M\n",
    "    M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims=\"primate\")\n",
    "\n",
    "    # G Model Imputation, only phylogenetic interaction\n",
    "    eta_squared_G = pm.TruncatedNormal(\"eta_squared_G\", 1, 0.25, lower=0.001)\n",
    "    rho_G = pm.TruncatedNormal(\"rho_G\", 3, 0.25, lower=0.001)\n",
    "    K_G = pm.Deterministic(\"K_G\", eta_squared_G * pm.math.exp(-rho_G * D_mat))\n",
    "\n",
    "    mu_G = pm.math.zeros_like(B_obs)  # no linear model\n",
    "    G = pm.MvNormal(\"G\", mu=mu_G, cov=K_G, observed=G_obs)\n",
    "\n",
    "    # B Model\n",
    "    eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, 0.25, lower=0.001)\n",
    "    rho_B = pm.TruncatedNormal(\"rho_B\", 3, 0.25, lower=0.001)\n",
    "    K_B = pm.Deterministic(\"K_B\", eta_squared_B * pm.math.exp(-rho_B * D_mat))\n",
    "\n",
    "    # Likelihood for B\n",
    "    mu_B = alpha_B + beta_GB * G + beta_MB * M\n",
    "    pm.MvNormal(\"B\", mu=mu_B, cov=K_B, observed=B_obs)\n",
    "\n",
    "    G_phylogeny_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a1674d4-7bfd-4e5e-8343-3064c78e7fed",
   "metadata": {},
   "source": [
    "##### Look at phylogeny-only imputation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "d37dfb3a-7935-4a07-ac71-38ada7b133dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_posterior_imputation(\n", " \"M\", \"G\", G_phylogeny_inference, impute_y=True, impute_color=\"C1\", title=\"Phylogeny-only Model\"\n", ")" ] }, { "cell_type": "markdown", "id": "8131bada-e1dc-445b-9fa5-d44ee7e68560", "metadata": {}, "source": [ "⚠️ for some reason, after trying two different implementation of GPs using PyMCs `gp` module, as well as using `MVNormal` likelihood (both give similar results), I'm not able to replicate the imputation for solo primates presented in lecture. \n", "\n", "**Comments and suggestions are welcome on what I may be doing incorrectly here**" ] }, { "cell_type": "markdown", "id": "d56e06b0-2a09-4051-99d8-3186c1f9be3a", "metadata": {}, "source": [ "#### 3. Fit model that combines phylogeny and $M \\rightarrow G$" ] }, { "cell_type": "markdown", "id": "8d4c45d1-a6ed-4ad7-932a-d1855565d3ca", "metadata": {}, "source": [ "Below is an implementation that implements the model using PyMC's Gaussian process module." ] }, { "cell_type": "code", "execution_count": 43, "id": "c9e46f28-c7a8-4fa1-a005-9b9339da1cb5", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [], "source": [ "# PRIMATE_ID, PRIMATE = pd.factorize(PRIMATES['name'].values)\n", "# coords = {'primate': PRIMATE}\n", "\n", "# with pm.Model(coords=coords) as G_imputation_model:\n", "\n", "# # Priors\n", "# alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n", "# beta_MG = pm.Normal(\"beta_MG\", 0, 1)\n", "# sigma_G = pm.Exponential(\"sigma_G\", 1)\n", "\n", "# alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n", "# beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n", "# beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n", "# sigma_B = pm.Exponential(\"sigma_B\", 1)\n", "\n", "# # Naive imputation for M\n", "# M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims='primate')\n", "\n", "# # G model, interactions only\n", "# mean_func_G = MeanBodyMassSocialGroupSize(alpha_G, 0, beta_MG, 0, M)\n", "\n", "# eta_squared_G = pm.TruncatedNormal(\"eta_squared_G\", 1, .25, lower=.01)\n", "# rho_G = pm.TruncatedNormal(\"rho_G\", 3, .25, lower=.01)\n", "# cov_func_G = eta_squared_G * pm.gp.cov.Exponential(1, ls=rho_G)\n", "\n", "# gp_G = pm.gp.Marginal(mean_func=mean_func_G, cov_func=cov_func_G)\n", "# G = gp_G.marginal_likelihood(\"G\", X=D_mat, y=G_obs, noise=sigma_G)\n", "\n", "# # B Model\n", "# mean_func_B = MeanBodyMassSocialGroupSize(alpha_B, beta_GB, beta_MB, G, M)\n", "\n", "# eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, .25, lower=.01)\n", "# rho_B = pm.TruncatedNormal(\"rho_B\", 3, .25, lower=.01)\n", "# cov_func_B = eta_squared_B * pm.gp.cov.Exponential(1, ls=rho_B)\n", "\n", "# gp_B = pm.gp.Marginal(mean_func=mean_func_B, cov_func=cov_func_B)\n", "# gp_B.marginal_likelihood(\"B\", X=D_mat, y=B_obs, noise=sigma_B)\n", "\n", "# G_imputation_inference = pm.sample(target_accept=.95, cores=1)" ] }, { "cell_type": "markdown", "id": "1515ca9b-f9df-4b33-834f-d4fd1465fc80", "metadata": {}, "source": [ "Below is an alternative implementation that builds the covariance function by hand, and directly models the dataset as a `MVNormal` with mean being the linear function of $G$ and $M$, and covariance defined by the kernel. I find that these `MVNormal` implementations track better with the results from lecture." ] }, { "cell_type": "code", "execution_count": 44, "id": "2d51e4d5-88fb-4c24-b17c-b3aa6f28ac90", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha_B, beta_GB, beta_MB, alpha_G, beta_MG, M_unobserved, eta_squared_G, rho_G, G_unobserved, eta_squared_B, rho_B]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1304fb11650e4a3f8ab9453178d2e445", "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 193 seconds.\n"
     ]
    }
   ],
   "source": [
    "coords = {\"primate\": PRIMATES[\"name\"].values}\n",
    "with pm.Model(coords=coords) as G_imputation_model:\n",
    "\n",
    "    # Priors\n",
    "    alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n",
    "    beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n",
    "    beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n",
    "\n",
    "    alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n",
    "    beta_MG = pm.Normal(\"beta_MG\", 0, 0.5)\n",
    "\n",
    "    # Naive imputation for M\n",
    "    M = pm.Normal(\"M\", 0, 1, observed=M_obs, dims=\"primate\")\n",
    "\n",
    "    # G Model Imputation\n",
    "    eta_squared_G = pm.TruncatedNormal(\"eta_squared_G\", 1, 0.25, lower=0.001)\n",
    "    rho_G = pm.TruncatedNormal(\"rho_G\", 3, 0.25, lower=0.001)\n",
    "\n",
    "    K_G = pm.Deterministic(\"K_G\", eta_squared_G * pm.math.exp(-rho_G * D_mat))\n",
    "    mu_G = alpha_G + beta_MG * M\n",
    "    G = pm.MvNormal(\"G\", mu=mu_G, cov=K_G, observed=G_obs)\n",
    "\n",
    "    # B Model\n",
    "    eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, 0.25, lower=0.001)\n",
    "    rho_B = pm.TruncatedNormal(\"rho_B\", 3, 0.25, lower=0.001)\n",
    "    K_B = pm.Deterministic(\"K_B\", eta_squared_B * pm.math.exp(-rho_B * D_mat))\n",
    "\n",
    "    # Likelihood for B\n",
    "    mu_B = alpha_B + beta_GB * G + beta_MB * M\n",
    "    pm.MvNormal(\"B\", mu=mu_B, cov=K_B, observed=B_obs)\n",
    "\n",
    "    G_imputation_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "8e4cab5c-0713-4824-84c2-b0eb720dace8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cOYLt27frTZFpz/cBIY87ytkmhDxWhg0bBnNzc7Z37EHTIng8Hn744QfMnz8fFy9eRGhoKDw9PVFZWckO3Jo8eTJmzpzJ2Y/P52PlypWYN28ezpw5g8GDB8Pd3R0lJSXIysrCvHnzcPr0aWRlZekEtF9++SXKy8tx7tw5TJ06FQ4ODrC2tkZ1dTXu3LnDDrL76quvHvay6PWo16qtZGZmoqKiAkKhsNHqGA21RgoJAHh6euKNN95o9vYymQy//vorlixZgrS0NMydOxcWFhZwcHCAQqFATk4OOzhQIpFg9uzZLTYBz6N42PcBj8fDypUrMXfuXERERGDw4MHw8PBg3wezZ89GeHi43lrZ7fU+IORxRz3bhJDHilgsZif2eNh60V27dsXevXuxcOFCODg44NatWygqKkLfvn2xcuVKfPvtt3qrOPj4+GD37t0YP348JBIJbt26BUNDQ3z88cf48MMP2UFyDSuWGBoaYuPGjfj+++8xcOBAVFdXIykpCSUlJfD29sbzzz+PnTt3QiKRPMQVaVxLXKu2oO3VdnNz4+RkN6W1gu2H4erqin379uG9995DYGAgNBoNbty4gZycHNja2mLixIn4+uuvcfbsWXzyySfNfo6t7WHfB56enti1axcmTJgAqVTKvg8++ugjfPzxx42er73eB4Q87nhMw5pShBDSzt544w0cOXIEH3/8cZOVItpSSUkJ+vfvDxMTE72pBO3lcbxWhBBC7qGebULIY6WkpASnTp2CWCx+4HrRrUk7QLJXr17t3JJ7HtdrRQgh5B4Ktgkhj5W1a9eitrYW48ePb9GBcc2RnJyMHTt2cOppMwyD/fv3s4MQG+a4tqf2vFaEEEKah9JICCHt7vr16/jqq6+Qn5+P9PR0SKVSHDx4sNFpzFtLdHQ05s+fD4FAAAcHB5iZmSEzM5OdxOOZZ57B559/3qZtauhxuVaEEEKah6qREELaXXl5OS5evAixWAw/Pz+8/fbb7RI8enh4YPHixTh37hxycnKQk5MDIyMjDBgwADNmzMC4cePavE0NPS7XihBCSPNQzzYhhBBCCCGthHK2CSGEEEIIaSUUbBNCCCGEENJKKNgm5P8xDIPS0lJQZlXHQvet46J71zHRfeu46N61Dwq2CamH/gB1THTfOi66dx0T3beOi+5d26NgmxBCCCGEkFZCwTYhhBBCCCGthIJtQgghhBBCWgkF24QQQgghhLQSCrYJIYQQQghpJTRd+2NErVZDqVS2dzOeWAzDQKFQoKamBjwer72bAwAQiUQQCATt3QxCCCGEPCQKth8DDMMgNzcXpaWl7d2UJ55Go0FxcXF7N4PDzMwMdnZ2j80XAEIIIYQ0HwXbjwFtoG1jYwOZTEZBVTthGAZqtRoCgeCxuAcMw0AulyM/Px8AYG9v384tIoQQ8jDKysoQFRWFtLQ0yOVyiMVi2NvbIzg4GI6Oju3dPNLKKNhuZ2q1mg20LS0t27s5T7THLdgGAAMDAwBAfn4+bGxsKKWEEEI6kNLSUuzevRuxsbHQaDScdYmJiTh58iQ8PDwwffp0uLq6tlMrSWujAZLtTJujLZPJ2rkl5HGlfW1QPj8hhHQcOTk5+Oabb3Dx4kWdQLu+27dv4/vvv0dcXFwbto60JQq2HxOPS08qefzQa4MQQjqW8vJyrF69GiUlJc3aXqVSYePGjbh582Yrt4y0Bwq2CSGEEEJa0MGDB3UCbZFIhP79+2PmzJkYMWIETExMOOvVajW2bt0KhmHasqmkDXTanO28vDwcPXoUERERSE1NRWFhIUxNTdG7d28sXrwY/v7+zT6WRqPBX3/9hR07diAjIwMymQz9+vXDG2+8ARcXl9Z7Eg9BLpfjwoULOH/+PPLy8qBQKCCTyeDu7o7BgwfD19cXfD59xyKEEEJag/ZzuD4XFxe89NJLMDMzY5dNmTIF27dvx7lz59hleXl5uHHjBrp169ZWzSVtoNNGXVu2bMHXX3+NzMxMBAcH47nnnkOfPn1w6tQpzJw5E0eOHGn2sT755BP85z//gUajwdy5czFkyBCcPn0a06dPx+3bt1vxWTQfwzA4fvw43n33XezYsQN37txBbW0tGIZBVVUVrl69irVr1+KTTz5BampqezeXY8+ePfD29sa1a9fauyltbt68eZg3b157N4MQQkgLiYmJgUKhYB/z+Xy88MILnEAbqOvpnjt3LmxtbTnLIyMj26KZpA112p7tnj17Ytu2bQgMDOQsj42NxYIFC/DZZ59hxIgREIvFTR7nwoUL+OeffxAYGIjNmzez20+ZMgXPPfccPv30U2zdurXVnkdzMAyDv//+G2FhYffdNj8/Hz/88ANefvll+Pr6tn7jCCGEkCfInTt3OI979OjRaLUxPp+PQYMGYdeuXY3uTzq+TtuzPWrUKJ1AGwACAwPRr18/lJaWIjk5+b7H2blzJwBg2bJlnMB8wIABGDhwIGJiYpCWltZyDX8Ip06dalagraVSqfDrr78iNze39RrVQVVXV7d3EwghhHRgNTU1nMf3q6PdcH3D/UnH12mD7aYIhULO/5sSHR0NmUyG3r1766wbOHAggLqfjNpLTU0NDh48qLO8V69eWLp0KT788EPMmTNHZ0KU2tpavfu1htjYWDz77LPo1asX/P39MXPmTL1fDsrLy/Hee+8hKCgIAQEBePHFF5GZmcnZJikpCUuWLMGAAQPQo0cPDBw4EC+88ALniwPDMNi2bRsmT56Mnj17om/fvnjttdd0jjVv3jxMmDABMTExmDlzJgICAvDRRx9h6dKlGDp0qN5STU8//TSmTp36wOdiGAa//fYbhg4dCj8/P0ydOhXh4eEPczkJIYQ8xiQSCefx/Tq2Gq5vuD/p+DptGkljsrOzERUVBWtra3h5eTW5rVwuR0FBAby8vPROJqIdHJment7kcZoaWaxdxzDMQ41Ajo6O1umNff755zm9+k5OTggJCcHGjRtx6dIldnlcXBzKysp0RkS3pIsXL2LRokXw8vLCl19+CbFYjL/++gsvvvgifvjhB4wbN4593h988AGCg4Px/fffIycnB6tXr8a8efOwf/9+mJiYQC6X47nnnoOTkxM+/vhjWFpaorCwENHR0aisrGSP89FHH2Hfvn2YO3cu3nzzTZSVleHnn3/GzJkzsW/fPlhZWQGou+b5+fl4++23sWjRIixbtgwAUFVVhZdffhnnz59HcHAw+1xSU1Nx9epVfPDBBw98rjVr1mDdunWYPn06Ro8ejZycHHz00UfQaDRwcXFp1ddIZ1f/+pCOhe5dx0T3rWlOTk6caxMfH4+SkhKdnG2g7hpGRERwtnd0dGy1a0v3ruU1pzzvExVsK5VKvPPOO1AoFHjrrbfuOxtfRUUFAMDIyEjveu3yysrKJo9TVlbW6AtboVBAo9FArVZDrVbf7ynoOH/+POfYfn5+6NWrl95jzZw5E/Hx8ezkKCqVCtHR0Rg2bNgDn7e5fvjhB5iYmGDz5s0wNDQEAAwaNAhPPfUUVq5ciVGjRrE9yL6+vvj888/Zfd3c3DB37lxs3boVS5Yswe3bt1FaWor//Oc/nDaPGjUKQF3ZpPj4eOzcuRNvv/02FixYwG7Tq1cvjB8/Hps2bcKbb77JLi8rK8OqVavQv39/dplKpYKlpSV2796Nfv36sct37doFkUiEcePGPdC5ysvLsXHjRowYMQKfffaZzvNzcXFp8t6r1WpoNBqUl5fTz4tNKCsra+8mkIdE965jovumn5eXFxiG4UxEtmbNGixcuJD9HATqKp3t379fp8OuZ8+eKC0tbdU20r1rOebm5vfd5okJtjUaDd5//33ExMRgxowZmDJlSpud29TUtNF1NTU1KC4uhkAgeKipuPPz8znfqoKDgxs9jomJCXr27MmZpaqwsLDVpgCXy+W4evUqZs2axek9FwgEmDx5Mr7//nvcuXOHLUU4ceJETlsCAwPh4OCAmJgYvPzyy3B1dYWpqSlWrVqFoqIiBAYGwsPDg3POiIgI8Hg8TJkyhfMlxNbWFt7e3oiNjeWcw9TUFCEhIexjtVoNiUSCSZMm4a+//oJcLoexsTHUajUOHjyI4cOHswNdmnuua9euoba2ttHnp70mjREIBODz+TAxMYFUKm3exX+CMAyDsrIymJqa0gRAHQzdu46J7lvTzMzMEBISgqioKHbZ3bt3sXLlSvTv3x8uLi4oLCzE+fPnUVRUxBkPZmVlhQEDBrTadaV71z6eiGCbYRh8+OGHOHDgACZNmsTpXWyKsbExgMZ7rrXLG+v51mrqBa1dx+PxHuqFr1KpOPvd7w1kZmbGWd9w/5ZUUVEBhmFgbW2tcw4bGxsAQGlpKbtO33bW1tbsNiYmJtiyZQt++eUX/PjjjygrK4O1tTVmzJiBl156CSKRCEVFRWAYhhNA1+fs7My55vXPWT9gnj59OjZv3owjR45g5syZOHfuHAoKCjBt2jR2++aeS9tD0djzu9+9f9TXyJOCrk/HRfeuY6L71rjJkycjMTER5eXl7LLa2lqEh4dzxuvUv348Hg9z5sxpk7kw6N61rU4fbGs0GnzwwQfYs2cPJkyYgG+++abZL2SZTAZra2vcvXsXarVap/dR+9NPe05sY2hoiNraWvZxamoqPD09G90+JSVFZ//WYmJiAj6fj4KCAp11+fn5AOp+fsnIyABQ18veUGFhIbp06cI+9vb2xo8//giGYZCcnIw9e/Zg3bp1kEqleOGFF2Bubg4ej4dt27bpLevYcFljf2w8PDzQs2dP7NmzBzNnzsTu3bthY2PDDorVtr0559Lm6TX2/O43Up0QQkjHYm5ujtdeew2rV69mU1KbwufzMX/+fCrJ20l16mok9QPtcePGYeXKlQ+cMhEUFAS5XM5JvdDSFp7v27dvi7T3YTQMrMPCwjh5YvXdvHlTp35nwzSMliSTyeDv748TJ05wco01Gg0OHDgAOzs7uLq6sssbVkeJi4tDVlYWgoKCdI7N4/Hg4+OD999/HyYmJkhMTAQAhIaGgmEY5OXlwc/PT+c/b2/vZrd/2rRpiI+PR2xsLM6cOYOpU6dyXj/NPVdAQAAkEkmjz48QQkjn4+zsjBUrVqBnz55N9iI7OTnh9ddfx4ABA9qwdaQtddqe7fqB9pgxY/Ddd981GWgXFxejpKQE5ubmsLCwYJfPmDEDhw8fxk8//cSZ1Ob8+fOIjIxE3759OQFjWxs8eDCio6PZx8XFxVi3bh2effZZNmmfYRjcuHEDmzZt4uxrbm4OPz+/Vm3f8uXLsXDhQsyfPx8LFy6ESCTCX3/9hVu3bmHVqlWcP0AJCQn44IMPMGbMGOTm5uLHH3+Era0tZs+eDQA4c+YM/vrrL4wYMQLOzs7srJnl5eVsKkefPn3wzDPP4P3330dCQgL69u0LAwMDFBQU4NKlS/Dy8mKPdz/aX0LefPNNKBQKTsm/BzmXqakpFi5ciPXr13Oe35o1a2Btbd1CV5oQQsjjxsrKCkuXLkVBQQEiIyORmpqK6upqiMVi2NvbIzg4GG5ubpTS0cl12mB73bp12LNnD2QyGVxcXLB+/XqdbUaMGIFu3boBALZt24a1a9filVdewauvvspu079/fzz99NPYuXMnpk6diiFDhqCoqAhHjhyBkZERPv3007Z6Snq5u7uja9eubCoGAFy/fh3vv/8+fHx8YG5ujrS0NGRnZ+vsO3To0FbPDQsKCsIff/yBNWvW4L333oNGo4GPjw/Wr1+PoUOHcrb98ssvsX//fixfvhwKhQL9+vXDBx98wKZhdO3aFSYmJti4cSPy8/MhEong6uqKb775hhMIf/755/D398eOHTuwfft2aDQa2NjYoHfv3ujZs2ez225sbIwRI0bg0KFD6N27t94vVc091+uvvw6ZTIa//voL+/fvh5ubGz777DOdL0CEEEI6H2tra50OG/Lk4DGdtNjiihUrsHfv3ia3+frrrzFt2jQAdWV59AXbQF0v+bZt27Bjxw5kZGRAJpOhX79+eOONNx65V7umpgZpaWlwdXV96EoT2dnZ+Pbbbx+oLJyXlxdef/31Zk3s86RgGIbNzX+cehla4jXSmTEMg9LSUp3Bv+TxR/euY6L71nHRvWsfnTbY7ihaKpBKTU3F2rVrUVVVdd9tvby88NJLL0Emkz30+TojCrY7Jvrw6Ljo3nVMdN86Lrp37YO6NTsJNzc3fPTRRzh8+DCio6OhUCh0trGyssLQoUMRGhpKPdqEEEIIIW2AIq5OxNzcHHPnzsVTTz2FuLg45OXlQaFQQCaTwd3dHd27d6dvsoQQQloVwzAoLi6GXC6HWCyGpaUldfCQJxq9+jshAwODRidaIYQQQlpDSUkJIiMjcfbsWc504GKxGEFBQQgNDYWzs3M7tpCQ9kHBNiGEEEIeSVhYGHbu3AmVSqWzTqFQIDIyEpGRkQgJCcHs2bOpp5s8UTr1pDaEEEIIaV1Hjx7F9u3b9QbaDZ07dw7r16+HWq1ug5YR8nigYJsQQgghDyUhIQH79u3Tu66xMUIJCQnYv39/K7aKkMcL/Y5DCCGEkIdy6NAhnWX9+/fHiBEj4OTkhNLSUkRGRuLff/+FUqlktzl9+jTGjBlDJWjJE4GC7U5Io2aQFqtBYYYGyhoGBqY8dOkpgLUr/ZBBCCGkZWRkZCAtLY2zbNq0aRg9ejT72NzcHBMnTkT37t2xcuVKdrlSqURUVBRGjBjRZu0lpL1QsN2JVBYziPxTgYjNShTd0Z2ryHuwAKGLRAgYLwRfQCUACSGEPLy4uDjOY3Nzc4wcOVLvtu7u7ggMDERsbCy77NKlSxRskycCBdudRNIZFX5bWA15aePbJEeokRyhhmtfPl7eagATG+rpJoQQ8nBKSko4j/39/cHnN/650qtXL06w3XB/QjorirY6gavHVFgzo+lAu760GA2+GytHeb6mVdsFAHv27IG3tzfu3r3b6ud6WLdv38aaNWtapY1r1qyBt7d3ix+XEELam0bD/Qy5Xzk/kUjEecwwur/AEtIZUbDdweXe0uC3RdXQ6Km4ZOHEg0tvPqTGuuvyUxn8Mq8aGnXr/rELDQ3Fjh07YGNj06rneRS3b9/G2rVrkZWV1d5NIYSQDsPExITzOCkpqckAOikpifPY2FjPhxMhnRAF2x3cke9roZBzl3UfJsCKEzJ8ddUQ750yxPe3jPDcL1KYO3DztFMuapBwonVrnVpYWCAgIABisbhVz0MIIaRt9ejRg/M4Ozsbly9f1rttUVERzp071+T+hHRWFGx3YBWFGlzax+3S7jtNiFd3GsA1UMDWOBVJeOj/jAjvnZLBzJ4bcIf/rmjVNjZMI5k3bx4mTJiAy5cvY+bMmejZsyeGDRuG3bt3A6ibhWzq1Knw9/fHxIkTERERwTmeNi0jKSkJr7zyCnr37o0+ffrgrbfeQnFxMWdbb29vrFmzRqdNw4YNw4oVK9j2vf766wCAZ599Fr6+vvDx8cGePXvY7aOiovDss8+id+/e8Pf3x8yZM3H+/Hmd44aFhWHy5Mno0aMHhg0bht9///0RrhwhhDzeunXrBmtra86yTZs24eTJk6itrQVQl2py5coVfP/995zSfzweD4MGDWrT9hLSXmiAZAcWvVMFVb1YWSgBnvlWAj5ff6URUzs+Jr4nxpbXatlliafUKMnSwNyx7b53FRQU4L333sPixYthZ2eHrVu34v3330dOTg7+/fdfvPjiizAyMsLPP/+MpUuX4uTJk7C1teUc45VXXsGYMWMwc+ZM3L59G6tXr0ZKSgr++ecfnbzApoSGhmL58uVYtWoVPv74Y/j4+IDP56Nr164AgP379+Pdd9/F8OHD8e2330IoFGLHjh1YtGgRfv/9dwwYMAAAcP78ebz88ssICAjAjz/+CLVajY0bN6KoqKjlLhwhhDxGeDweRo0ahW3btrHLlEoldu7ciX379sHOzg4lJSWorKzU2TcwMBCWlpZt2VxC2g0F2x3Y3WvcFBD/sUIYWzUdNAc9JcLf79RCWVP3mGGAu4ltG2yXlpbi999/Z39C7NGjB4KDg/Hbb7/h+PHjbGBta2uLyZMn4/jx45g3bx7nGCNHjsQ777wDABg4cCAsLS3x1ltv4ejRo5g0aVKz22JhYcEG1u7u7vD394dAUPerQHV1Nb766iuEhoZi3bp17D5DhgzB1KlTsWrVKuzcuRMA8OOPP8LS0hKbN2+GRCJh2zV8+PCHvEqEEPL4GzRoEG7evImYmBjOcqVSiczMTL372NvbY/bs2W3RPEIeC5RG0oFVl3Mf2/vc/3aKZTxYu3C3qy5v2xHh1tbWnFw9MzMzWFhYoFu3bpwebDc3NwB1eYANTZw4kfN47NixEAqFiI6ObrF2Xr58GaWlpZg6dSpUKhX7n0ajwaBBg3Dt2jXI5XLI5XJcu3YNo0aNYgNtADAyMsLQoUNbrD2EEPK44fF4eO655xASEtKs7V1cXLB8+XKaOZI8UahnuwMTG3Afl+feP2jWaBiU5XHLNYnb+G+emZmZzjKxWAxTU1OdZQDY3L/6GuYJCoVCmJmZobS0tMXaWVhYCAB47bXXGt2mrKwMPB4PGo0GVlZWOuv1LSOEkM5EIBBg/vz56Nu3L86cOYOrV6/qVCXp2rUrhgwZgv79+0MgELRTSwlpHxRsd2BWDXqo4w6qMOMbBiJJ47NDJp1Wo6rBPALWXTveDxwFBQWcXnCVSoXS0lJOIC8Wi6FQ6A4Abe5ECubm5gCAjz76CP7+/nq3sbS0hEqlAo/HY4Pz+vQtI4SQzqhbt27o1q0bSktLkZaWhurqaojFYjg4OMDBwaG9m0dIu6FguwMLmi7Eke/vBZOVRQxO/6LA6NclerdXKxkc+pbbS+zky4dD944XbB88eJCTinL06FGoVCoEBQWxyxwdHZGcnMzZ7/z585DLubUSG+tB7927N0xMTHD79m3MnTu30baIxWL07NkTx48fxzvvvMOmklRWVuLMmTMP9wQJIaSDMjMzQ69evdq7GYQ8NijY7sDsvQXwHixAcsS9gZJ7P1dArQRGvCyGWHavh7vwjgZ/La9BWiw3hWTIIhFbIrAjOXHiBAQCAUJCQnDr1i2sXr0aPj4+GDt2LLvN5MmTsXr1aqxevRpBQUG4ffs2tm7dqjORgqenJwDgn3/+gVQqhYGBAZydnWFubo4PP/wQK1asQFlZGUaPHg1LS0sUFxfjxo0bKC4uxmeffQYAeP3117F48WI899xzWLhwIdRqNX777TcYGBi0aGoLIYQQQjoWCrY7uDGvi5EcUc0+ZjTA/i8VOLFWgZ5jhTC24iErSYPrYWowDWZnN7PnIejp5pfJe5ysWbMGa9aswfbt28Hj8TBs2DC8//77nMlzFi1ahMrKSuzduxebNm1Cz549sXr1arz88sucYzk7O+P999/Hn3/+ieeeew5qtRpff/01pk2bhsmTJ8PBwQEbN27EJ598gqqqKnYw59SpU9ljhISEYN26dfjpp5+wbNkyWFtbY9asWaitrcXatWvb7LoQQggh5PHCY5qaW5W0upqaGqSlpcHV1RVSqfShjnHg61ocXvlgk9OIDIA3D8rg2qdjDVRZs2YN1q5di/Pnz8PCwqJFj80wDNRqNVv673HREq+RzoxhGDZf/3G6b+T+6N51THTfHi8Mw0Aul0Oj0UAmkzU5AJXuXfugnu1OYOIKMXg84NC3zQu4ZWbAy9sMOlygTQghhJA6GRkZCAsLQ1xcHGpq6ibP4PP58PHxQWhoKPz8/MDnd7wxWZ0RBdudAI/Hw8QVEngGC3D8vwoknlLr3U5qDPSfKcLo18SwcKI3ICGEENLRyOVybN68GVevXtVZp9FokJSUhKSkJNja2mLJkiVwdHRsh1aS+iiNpJ21RopAQZoGMXuUKMpkoJAzMDDhoWuAAH2mCCE1op+NGkNpJB0T/SzacdG965ha8r4xDIOysjIoFApIpVIYGxvTa6EJcrkc33//PbKyspq1vVQqxfLly9mZkuk91z6oZ7sTsnblY9yb+sv/EUIIIe2tsLAQERERiIqKQkVFBbvc3NwcAwcOxKBBg3QmOnvSMQyD3377rdmBNlDXWbN27Vp8+umnMDQ0bMXWkaZQsP2YoB8YSGPotUEI6SwYhsH+/ftx7NgxvX/bSkpKcPDgQRw9ehTTpk3DsGHDmt0DyzAMKisroVQqIZPJOt0vgbdv30ZSUhJnmUwmw8iRI9GnTx+IxWIkJSXh+PHjyM3NZbcpLy9HWFgYxo8f39ZNJv+Pgu12JhTW3QKVStXOLSGPK+1rQ/taIYSQjohhGGzZsgXnzp2777YqlQr//PMPqqqqMGnSpCa3zcnJQXh4OKKjozmTljk5OWHIkCHo168fO9lYRxYeHs55bGhoiA8++ACWlpbsspCQEAQFBeGnn37C7du32eUREREYO3YspY60Exol184EAgEEAgHKy8vbuynkMVVeXs6+TgghpKM6ffp0swLt+g4fPoxLly7pXadSqbB161Z8+umnOHPmjM7swHfv3sW2bdvw3nvvIT4+/qHb/ThQKpW4fPkyZ9m4ceM4gbaWSCTCM888w1lWWlqKW7dutWobSeOoq6yd8Xg82NjYICcnBxKJBIaGhvTNs508bgMkGYZBVVUVysvLYW9v/1i0iRBCHoZKpcLRo0c5y3g8HoYMGYLBgwfDxsYGWVlZOHPmDC5cuMDZ7uDBg+jduzfnb6Barcb69euRkJBw33NXVVVh/fr1WLhwIYKCglrmCbWxsrIynV/A+/bt2+j2Xbp0gY2NDfLz89llhYWF8PLyarU2ksZRsP0YMDU1RXV1NQoLC1FQUNDezXmiaTSax6ouKY/Hg5mZGQ0UIoR0aHFxcZyBkADwwgsvoHfv3uxjFxcXPPfcc+jatSt27NjBLs/JycGtW7c4geLu3bubFWhrMQyDP/74A3Z2dujSpcsjPJP2oVbrlvSVyWRN7tNwvb5jkLZBwfZjgMfjwd7eHjY2NlAqle3dnCcWwzAoLy+HiYnJY9OLLBKJKH2EENLhxcbGch57eXlxAu36hg4dirCwMOTl5bHLYmJi2GC7vLwcZ86c4ewjFAoxfPhw9O/fH2ZmZkhJScHJkydx48YNdhu1Wo0jR47gxRdfbKmn1WaMjIx0lt24cQN+fn56t6+qqsLdu3fvewzSNijYfoxQXm77YhgGNTU1kEqlj02wTQghnUFxcTHncZ8+fRrdlsfjoXfv3py0k5KSEvbfZ8+ehUajYR/z+Xy8+eabcHNzY5f5+fmhR48e2LZtG86ePcsuj4+PR0lJCczNzR/p+bQ1Q0NDODs7IzMzk1127Ngx+Pr66v019sSJE5y0E4FAAE9PzzZpK9H1+Pxe3gr279+Pjz/+GNOmTUOPHj3g7e2NPXv2PNAxoqOj4e3t3eh/V65caZ3GE0IIIZ1EwxSG+5Xla1g9pP7+MTExnHUDBgzgBNpaPB4P06dP5xxLo9EgLi6u2e1+nAwZMoTz+Pbt2/jtt984X2Rqampw6NAhHDt2jLNtnz59YGxs3CbtJLo6dc/26tWrkZWVBXNzc3bwxcMKCgrSO7DCzs7uUZpICCGEdHoNA72kpCT079+/0e2vX7/e6P4Ne8kDAwMbPY5UKoWvry8nwC4qKmpWmx83QUFB2L9/Pyf3PS4uDpcvX4arqyvEYjHS0tJQW1urs+/w4cPbsqmkgU4dbH/xxRfo2rUrHB0dsWHDBvzwww8PfaygoCC8+uqrLdg6QgghRD+lUslOYd4Z0gu7d++O5ORk9nFsbCzGjx8PW1tbnW1TUlI422r313rQXnIDAwPO4446UFAikWDx4sX473//y3kODMMgNTW10f0mT54MFxeXNmghaUynDraDg4PbuwmEEEJIs5SVlSEyMhJRUVEoLCxkl3ft2hWDBg1CUFBQh52cJSQkBAcPHmTziNVqNX788UfMmjULfn5+4PP5UKvViI2N5VQiAeoG9tXP8TYyMkJpaSn7+MaNG3rTSIC6QLRh4N6R0yl8fHzw8ssvY8OGDXp7sBuaOHEixo4d2wYtI03p1MF2S0pPT8eff/6JmpoaODg4IDg4GBYWFu3dLEIIIR0cwzA4fPgwjhw5orfXNSMjAxkZGdizZw/mzZvXaBWPx5mxsTEGDBjAGaxYUlKCn3/+GSYmJrC1tUV2djaqqqp09g0NDYVIJGIfd+/eHVFRUezjM2fOYOjQoTo92ABw8eJFzhcXAOjWrVtLPKV206NHD3z88cc4ceIEzp8/rxN083g8+Pv7Y8SIETQo8jFBwXYzHTp0CIcOHWIfS6VSvPrqq1i8ePF992UYpjWbRlqI9j7R/epY6L51XHTv6p57w4oZjamqqsIvv/yCuXPnYtCgQY1up1QqkZSUhOLiYmg0GhgZGcHb2xtmZmYt1ub6/2+up556CqmpqTol6crKylBWVqZ3Hx8fH4wZM4ZzrsGDB3NmoiwrK8MPP/yAOXPmsOkSSqUSUVFR2LlzJ2dfJycnuLq6dvjXnKWlJWbOnIkpU6YgISEBJSUl0Gg0MDY2Rrdu3dhqKw2fJ73nWl5zqpdRsH0fFhYWeOeddxAaGgoHBweUl5cjOjoa33//Pb777jsYGRlh5syZTR6jrKyMXtgdSGN/9Mnjje5bx/W43LuqqipUVVVBIBDAxMSE05vaWsLCwnDq1KkH2mfz5s2QyWRwd3fnLC8rK0NYWBiio6NRXV3NWcfn8+Hn54fQ0NAWy999mPu2YMECbNq0Cenp6Y1uo1AooFar0a1bN8yaNQuVlZWc9WZmZnB0dERaWhq77Pbt2/jss89gY2MDExMTZGVl6VwDAOjfv/9j83prKR4eHjrL6qfZ6NPZrkF7ak4ZSR7zhESB2gGSX3/9NaZNm/bIx7t58yamTZsGU1NTnD17tslZB5+QS9zhMQyDsrIymJqaUp3tDoTuW8f1ONy72tpaXLx4EREREbhz5w67XCgUolevXggNDYW7u3urtE+hUODdd9+FXC7nLB8wYABCQkJgbW2NjIwMnD59mjM5C1A3Kcybb77JPk5OTsb69ev1BpgNTZ48GWPHjn3o5/So902tViMqKgrh4eFs3WiFQoGcnBzk5uZCKpXCwcEBVlZWMDExQUhICAYPHgxLS0v2GIWFhfj2229RXl7e7PP269cPzz333BP9d+JxeM91NtSz3Yq8vLzg7++P2NhYZGRkwNXVtdFt6QXdsfB4PLpnHRDdt46rve5dcnIyNm7cyAZs9dugHawXGxsLX19fLF68+L7TYz+oS5cuobq6mnPeJUuWcHKyzc3N4e/vj927d+PEiRPs8lu3biEnJwcODg5ISUnB2rVroVQqm3UdDxw4AB6Ph3Hjxj1S+x/2vgmFQgwePBiDBg3CnTt3sGvXLoSHh8PAwAA9e/bkXOfKykr8+++/OHHiBMaPH4/x48eDx+PB2toab775JtasWdOsUn7BwcGYO3dukx1jTxL6e9m26FX3CLQ/HdTU1LRzSwghhDyIxMRErF69ulk9o4mJifjhhx90eqAfhUajQWRkJFQqFfvrp6+vr97BjzweD1OmTNGponHx4kUolUps2LABSqVSZ78uXbrA09NTbzrM/v37mywX1xZ4PB4uXryImzdvwt7eHra2to1+odFoNDh48CC2b9/OXi97e3t89NFHmDx5cqM/5Xfr1g1Lly7F/PnzO0UJRdIxUc/2Q1KpVEhKSgKPx4O9vX17N4cQQkgzFRYW4tdff32gest3797F5s2bsXTp0oc+r7YMXVhYGBISEhAVFYXq6moIBAJYWVlh5MiRYBhGb4+jNq0lIiKCXVZUVIRLly7p5Of26NEDzzzzDGxsbAAA1dXVOHnyJA4fPsxJazx16lSjJfPawvnz53Hy5MkH2ic8PBxOTk4YPHgwgLoa2uPGjcOYMWOQnJyMvLw8qFQqyGQyeHh4sNeAkPZEwfb/Ky4uRklJCczNzTkl/S5fvoyAgADOHz+VSoWVK1ciKysLgwYNarER3oQQQlrfiRMndMqlubu7Y8yYMfDx8YFcLkdMTAyOHj3KKUV39epVZGRkoGvXrg98zsLCQmzYsAEZGRnsMo1GA6AuZSUvLw9///03MjMzsXjxYr21oA0NDTmPVSoVwsPDOctcXFywdOlSTrqEgYEBJk6cCI1GgyNHjrDL4+LiUF5eDhMTkwd+Po+KYRhOhS+grqc7JCQEQ4YMgYODA3JzcxEeHo6zZ89yviQcPnwYISEhnJ5qPp+Pbt26dfiyfqRz6tTB9s6dO3Hp0iUAdQMatcsuXrwIABgxYgRGjBgBANi2bRvWrl2LV155hTNTpHYASq9evWBra4uKigrExMQgLS0NDg4O+Oyzz9ryKRFCCHkENTU1uHDhAmdZ79698fzzz7MBqlgsxsiRI9GrVy98+eWXnPSR8PBwzJ8//4HOmZ+fj++++04nZUUkEnGC/rKyMty4cQMrV67E22+/rRMEaz/HtMRisU4qyOjRoxvNSx45ciSOHz/OTiyj0Whw8+bNJqc7by2JiYk69a/nzZuHkJAQ9rGTkxPmzJkDT09P/P777+zy0tJSXL16Fb169Wqz9hLyKDp1zvalS5ewd+9e7N27F4mJiQDqvslrl12/fv2+x5g5cyYcHR1x8eJF/Pnnnzh48CDEYjFefPFF7Nu3D46Ojq39NAghhLSQxMREzjgbHo+Hp59+Wm+AamVlxXbIaF26dOmBKkwpFAqsWbNGb254w19Fc3NzoVQqkZ+fj/Xr17M930DdgMiUlBTO9s7OzjrHbKpnVyaToUuXLpxlFRUVzXkaTaqtrUVUVBS2bt2KDRs2YPPmzTh27BhKSkoa3Sc2Npbz2NnZudFZn4OCgnSKEDTcn5DHWafu2f7mm2/wzTffNGvbV199ldOjrfXCCy/ghRdeaOmmEUIIaQcNK1e4uro2ORtwnz59cODAAfZxTU0N5HK5TkpHY86fP4/8/HzOMgsLC4waNQq2trb4+uuvUVRUhKysLCgUCly9ehVeXl5ITU3FtWvX0LNnT1y5cgXbtm3jHMPExAT+/v7YuXMnZ3lNTY3emRTrr6/vUQYNVldX48iRI4iMjNRbcnD//v3w9/fH5MmTdcY2NbwPvXv3brI6Rp8+fTh1tYuLix+63YS0tU4dbBNCCCH1NeyVFovFTW4vkUh0ltXvcb7fucLCwjjLHBwc8M4777ABcf/+/XH16lXY2tri8uXLqKqqwuXLl2FoaIgvvvgC7u7uenuIhw4dCnNzc4hEIk4lkpiYGIwaNUpve7Kzs5Gdnc1ZVr929YMoKyvDH3/8gZycnEa30Wg0uHz5MpKSkvDSSy9xet0f9T48yOBWQtpbp04jIYQQQuprOPAwLS2tyfKtSUlJnMd8Pr/Z9bb1BbdPP/00p+d5zpw5MDc3h1gs5gy8rKqqQkJCAvLy8nSO6+XlhVGjRrEVSuo7duyY3rrTKpUKO3bs4CwzNjaGt7d3s55LfTU1Nfjll190nltjamtrsW7dOs7g0Ib34X5pnQ3vg74BpIQ8rijYJoSQehiGgUKhgFwub3YPJuk4unXrxklXqK2tbXS6dKVSiePHj+vs39zUi4YDAA0NDXVyqs3MzPDmm2/CxsaGU6ZOrVajuroamZmZyM3NRWlpKRiGYetG19bW4vLly5DJZMjJyUFJSQk0Gg2qqqrw5Zdf4tixYygsLERFRQUuXryIr7/+WmcWyoEDB0IofPAfuI8cOYLc3FzOMh6Ph27dumHcuHHo16+fTk+0UqnEn3/+yfZod+/enbM+ISGBE4zXl5WVhStXrnCW+fr6PnC7CWkvlEZCCCGoC4wiIiJw4cIFlJWVAajrxfTw8MCQIUMQEBDwUIEJebyYm5ujZ8+eiI+PZ5cdPHgQKpUKI0eOZHutMzMz8ffff+sElUOGDGn2uRqmOhgYGOjNS7a2tsYHH3yAU6dO4dy5cyguLmarlKSnp0MkEsHIyAje3t4wNzfH//73P1y9epWdEKeoqAjFxcUQiUSws7ODo6MjWwigMYaGhhg2bFizn4uWUqnE2bNnOctsbW3x4osvwsHBgV0ml8uxZcsWxMXFscvu3r2L27dvw9PTE0FBQdi1axfnV4U1a9bgmWeeQZ8+fcDn86HRaHDlyhXORDZAXcpJ//79H7jthLQX+uQghDzR1Go1/vnnH4SHh+vkkWpLo928eRPm5uZYtGgRPD0926mlpKWMHDmSE2wzDIMjR47g+PHjcHJyQnV1td70DVtbW/j5+TX7PEZGRpzHhYWFKC4u1jsgUyKRIDMzEwzDwNDQEGKxGAzDwM3NDVZWVjAyMkJOTg6++eYbCIVCeHt7s9v5+PggPj4eVVVVyMzMRE5ODrp3797oHBBisRhLly59qPracXFxOjNpLlmyhBNoA3WVTxYtWoSMjAxOWktERAQ8PT0hkUgQGhqKY8eOsesqKiqwceNGbN++HXZ2dsjPz9dbLWXQoEHNTuUh5HFAaSSEkCeWWq3Gzz//jLCwsPuWcyspKcFPP/2EhISENmodaS2enp6YOHGiznKVSoX09HS9gbZUKsWSJUt0SgQyDIOKigo2ZaP+66hr16466RT//vuv3jbt2rWLrTgiFothaGgIS0tLuLi4wNjYGGlpaYiJiUFmZiZu3bqFQ4cOYd++fThw4ACio6NhZ2fHBtcqlQoJCQl6yw1aWlrirbfegru7e9MXqREN63r7+Pg0WgJXKBTq/BJQf/8JEybo/fJaVVWFlJQUvYG2i4sLpkyZ8hAtJ6T9UM82IeSJtWvXrgcKnlUqFTZs2IAPP/yQpoHu4MaPHw8ej8cp69eQSqVie1d9fX2xZs0aGBsbo3v37vDz80NCQgLOnTvHCWrNzc0xaNAgDBw4EKamphgwYACnIklYWBgkEgnGjBnD9s5GR0dj/fr1Ojnezs7O6Nq1K06fPo0LFy6wk9FoKRQKiMVi5OXlITc3F9bW1nBzc0NVVRUKCgpw/fp1BAYGQigUwsPDA6GhoY+cDtWwxF/Dut0NNZxts/7+IpEIr7zyCn755ZdmzXvh5eWFl1566b6VSwh53FCwTQh5IpWUlOiUZRMIBBgyZAj69esHY2NjpKSk4MSJE7hz5w67TW1tLY4ePYpnn322jVtMWhKPx8P48ePRvXt3nDp1CpcuXWIHxDIMgzt37qCgoIANYFUqFUpKSlBcXIyzZ88iMzMTlpaW8PDwgEgkYo9bUlKCAwcO4MiRI5g6dSpCQ0MRERHBGWz777//4syZM3B3d0dNTQ22bduGoqIitldcJBKhe/fu+Pnnn/HXX3/hzp07EAqF0Gg07HGEQiFEIhFMTEwgFouhUqlQWlqK5ORkBAQEwMvLC0qlEk899RRGjBjBaeOjaBjoNvyC0FDDyigN95dKpXjttdcQExODsLAwnZ5zoK43OzQ0FP369Wt0dkxCHmcUbBNCnkhnz57lBEB8Ph9vvvkm5+d1S0tLBAYG4rfffuMM9IqJicH06dObPbEJeXy5urpi8eLFmDFjBm7fvo3y8nIcPXoUZWVl6NKlC2dAI8MwSElJYUveFRQUoLCwEF26dIFAIIBAIICpqSlkMhlUKhV27tyJqqoqzJgxA3///TfnvFVVVTh06BAyMzN1Jr3RppG89957SE1NRWFhIfh8PiQSCWpqaiAQCNigVS6XQywWQygUwszMDCUlJUhISEDfvn0hk8lw+fJljB07tsWuV8PJaa5du4aKiopGS/GdO3eO87hhbjdQ997r168f+vXrh+zsbNy5cwc1NTWQSqVwcnKCk5NTi7WfkPZAXxEJIU+kixcvch4PHDhQbx4rn8/HrFmzOOXelEolLl++3OptJG3HxMQEvXv3Rn5+PkpLS2FmZqZTOSQnJwfZ2dlgGAaVlZXIz89HTk4OLl26hNTUVNy6dQuxsbGIj49HYWEhO/DS2NgYM2bMYI9XU1OD+Ph4ZGVl6aRl8Pl8BAQEQCaT4eLFi0hMTGSrmvD5fJiYmKBnz54YMWIEgoODYWlpyQl0ZTIZKioq2F9jMjIyUFVV1WLXKSgoSOe98Mcff3Am1tE6fvy4zhTzjU3JruXg4ID+/fsjNDQU/fv3p0CbdArUs00IeeJoy6XV17dv30a3NzExgY+PDxITE9ll+iYOIR1bXl6e3prb/v7+CAgIwK+//gpra2tcv36dzZ82MDCATCaDq6srTE1NkZOTg7y8PJSVlcHa2hre3t44cOAAPvvsM7i5ueHQoUP43//+x1b0qP/rioGBAZycnGBnZ4fbt2+ztd4VCgWkUilsbGw45fosLCzg4OCAbt26Yf/+/cjPz4dEIkFpaSkKCgrg7u4OkUiE8vLyFvsVxtjYGH369EFkZCS7LCEhAR9++CEGDRoEFxcXFBcX49y5c0hPT+fsa2JigoCAgBZpByEdCQXbhJAnDsMwOhPW3K+UWMNgpeFgNdLxhYeHcx4LBAK8+uqr6NatGy5dugQej4fy8nJYWFigqKgIRkZG7GyQeXl5cHJygomJCYyNjXH79m0UFBSAYRjweDwkJyfDx8cHtra26NGjB0pKSqBQKJCfn4/i4mLY2dnB1NQUFhYWkEgkKCgo0JnZ0snJCWKxGAqFgl3G5/Mxe/ZsJCQkoLCwkK29XV1djcLCQtjb2zd7Ep7mmjRpEi5dusSpI15aWoqDBw82ud/TTz9NterJE4nSSAghTxx9U27funWr0e01Go3O+oY1lEnHptFocOHCBc6yoUOHsjM+xsbG4ubNm6itrQWfz4eDgwMbaMtkMkgkEjb4tLe3Z19fhYWFyM3NRUxMDGpra3Hu3DlIJBLY2dmhS5cuCAgIwKBBg9CzZ0907doV5ubmePvtt2Fqagq1Ws1JZTEwMEBycjInLcTExAR2dnbw9vaGmZkZG6Cr1Wq2raampi16raytrbFo0SJIpdJm7zNt2jQEBQW1aDsI6Sgo2CaEPJG8vb05j0+ePKk37xSoy+8uKSlpcn/SsZWXl+vkNg8cOJD9d2pqKuc14OzsDCsrK/Tq1QuBgYHw8/PDs88+i/nz50MqlcLa2prd9u7duygqKkJsbCynt5rH4+H999/n5FyrVCocPnwY3t7e7KBLbcCdm5uL7OxspKSksL/MaNOfZDIZeDweKisrAdz79cbPz0+n1ndLcHd3xzvvvANXV9cmtzMzM8PixYsxevToFm8DIR0F/Z5DCHkiDRkyhDPIsbCwEP/9738xd+5c2NraAqjrHbxw4YJOJYmuXbvq1A8mj06tVoPP5+ud0ry11U/N0LK0tGT/3bAknZGREUJCQpCRkcEuU6vVGDx4MGQyGT788EN2eXV1NXJycpCWlsY5Rvfu3eHu7o7AwEBOr3pcXBySkpIgkUhQVVUFgUAAhUKB1NRU2Nvbo7S0FFeuXEGXLl0QFBSEoqIihIWF4ebNm2wQzufzIRKJEBoa+kjXpSmOjo5YsWIF0tPTERERgdTUVLY6ip2dHYKDg+Hv79/iaSyEdDQUbBNCnkjame+ysrLYZTdv3sTHH38MFxcXmJiYIC0tTe8sdsOHD2+XgLCz0Wg0uHbtGi5fvoyUlBQ27cHW1hb9+/dHSEhIoyXlWpo2JaS+jIwMdobDsrIyzjpLS0sUFBRwlmlTRwICAnTGBJSXlzc6IcyYMWMQGxvLjgPQvrYUCgW7jzZFRZsDXllZicLCQnz99dfIyspCQkIC55cZsViMnj17smkwrcnFxQUuLi6tfh5COipKIyGEPJF4PB4WL16sN+80PT0dV69e1Rto9+vXj3JPW0BKSgo++ugjbNq0CYmJiaitrQVQF4Dn5ORg7969WLFiBQ4ePMiZAr21GBkZwcrKirPszJkz7L8b5vjfvHlTZ0IXbcCZkZGh01NuaWmpM6GLNli3t7fHokWLOBO22Nvbcyai4fP5UKlU7CBIY2NjuLu7IzMzEwkJCZwvA2KxGI6OjnjvvffoSyEhjwEKtgkhTywHBwe88cYbze497devH+bPn08BzCNKSEjAqlWr7jv7oEqlwqFDh/DHH3+0esDN4/EwePBgzrJLly7h0KFDUKvVcHJyYoPh2tpapKen49q1a+zMj15eXrC2tkZsbCzWrl3LqdQhFArh6ekJR0dHzvHj4+PZL3S9e/fG0qVL2ao3FhYWYBiGPSePx4NQKERlZSVyc3ORm5uLY8eO4cKFCzq97ra2tvj4449bfGAkIeTh8Ji26DIgpANgGKbRySzI46sl7lt5eTmOHz+OqKgovROAuLu7Y/jw4ejduze9Nh5RXl4evvzyS9TW1oJhGCgUCojF4vte10mTJmH8+PGt2raKigq8//77Or3SZmZmSE9PR1JSEnJzc6FSqSCVSmFmZgYAkEgkGDZsGPh8PioqKqBWqxEdHc2mhXTp0gXLli1DSEgIVqxYwQnEe/TogSVLlrC93jU1Nbhw4QI2btyICxcuoKCggL1WJiYmMDExgVqthlwu1xnQK5VK4eLigsWLF2PhwoWt9lqlv5UdF9279kE524SQJ56JiQmmT5+OyZMn49q1aygoKIBSqYSRkRG8vLz0TjFNHs6hQ4fYlBEtR0dHjBgxAm5ubigtLcX58+cRHR3N2ebo0aMYOnTofeuhPwpjY2PMnDkTf/75J2d5aWkpKisrOUF4TU0NlLUM7JnhsFH7o/KsE3hCJRjDQtxRHWIDbVNTU3Tp0gV9+/ZlZ6mMiYlhj5OQkIAPPviAnRCmqKgI586dg6GhIQYPHozi4mIkJiaitLSUk+ZiYGDAqRcvEAjg6OiIWbNmYcGCBRRIEfIYoWCbEEL+n0gkQu/evdu7GZ1WRUUFLl26xFnm7++P1157ja1YYW9vj27duiEwMBDr1q1jt1MqlYiKisKIESNatY0hISGQy+XYtWsXZ7mtrS3S09NhYWEBeTEfrqpn4VoyE1L8f8WS/x8ryQPQFZNhID2BcvuDcPM1QM+ePdlAefLkyUhMTGRnkATqflk5fPiwTltEIhFsbW1hZmYGNzc3xMTEICMjg+3R5vF4EAgEMDc3R3BwMObMmYOAgABkZWUhJSWFUxmkW7dunJxwQkjboWCbEEJIm4iNjdXJZZ4+fbreILBnz54IDAxEbGwsuyw6OrrVg20AGDlyJBwcHHDo0CG25J9IJIKTkxNKbhsjWP0DxLBodH8+JLCrmQDb9LHgW+3BhA+Hsuusra2xdOlSrFmzRmeGyMbMmzcPw4cPh0KhwJUrVxAXF4fi4mKIRCJ4eXkhKCgIdnZ2iI2NxbfffqtTYhCoS4UZNGgQhg8frrfyCiGk9VCwTQghpE00LJXn6+vb5EycQUFBnGC74f6tydfXF76+vsjMzERMTAxKSkrgbT0cNy4NA49p3iQxPEYAJuZpHP8lBXD7FdXV1RCLxXBwcMDChQvx77//IiUlpdH9LSwsMGPGDPTq1QtAXZWRoKAgnWo4SqUSv/76K6dufEPa6dTPnz+P1157ja0lTwhpfRRsE0IIaRPaPGYtExOTJrdvuL6xGT6bq6amBpcvX0ZeXh6USiUMDQ3h6ekJDw+PRnOcnZ2d4ezsjJoKBp/0qwJPraemgGU6YJIH1JgAeZ6AhvvRGvebCzD8AGBRV9M9Pj4eANCtWzcsWLAAKSkpSE1NZYNxGxsb9OrVC76+vvetlKPRaLBhwwZcvXq1WdegsLAQP/zwA1asWAELi8Z75wkhLYeCbUIIIW1CW9ZO6/bt202W9Lt16xbncVO94E0pLi7G0aNHER0drTM4E6jLEx8+fDhCQkIazWuO2q5EaQ63reY+xajtvh1y4b20DXsLT4iSx+HOGed7GzICIHkoMGArZ//r16/j9u3bWLJkCWbPno2EhASEhYUhISGBDZ5FIhF69eqF0NBQuLm56XwpCA8P1xtom5iYoEuXLiguLkZ2djZnXVlZGf78808sW7ZM73MlhLQsCrYJIYS0CS8vLxw5coR9nJOTg+vXryM4OFhnW6VSyZlUBgA7m6M+2dnZSE9P56RquLm5ISUlBevWreMMSGwoJycHW7duRXx8PJ5//nlIJNw0EYZhEP47t1fdtS8fbx3qAoHoXcjlcigUCshkMtTW1uKrr74C7g4CbtWr233XD6g2Bgy4EyUplUqsWrUKJiYmenO4lUolLl68iIsXL8LHxweLFy9me7sZhsHJkyc52xsYGGDWrFno27cv+8UhIyMDW7ZsQWZmJrvd9evXkZWVpVP7mxDS8ijYJoQQ0iZ8fHxgY2OD/Px8dtnWrVshk8kQEBDA9toWFhZiy5YtKC4u5uw/ZMgQzmOGYRAbG4szZ87ozX2WSqXIzMyEpaVlsypxXLt2DRs2bMDSpUs522dc1iD3Jnf69SkfSiAU17XX0NCQ7bX/559/UFJSAvieAFL7A+r/nzWSEcDffAHM+19DTEwMW8+9qqoK8fHxkEql6NWrV5Ml+27cuIGVK1finXfegbGxMZKSknQmBlq4cCF69uzJWda1a1e88cYb+Oijjzh15MPDwzF79uz7XhdCyKOhYJsQQkib4PF4GDZsGP7++292WXV1NdavXw9ra2u4u7ujpKQEt27d0kkvcXZ2hoeHB/tYoVBg48aNbP5zQwzD4Ny5c6iqqoKRkRF8fX0hkUjA5/Ph5eUFU1NTpKam6gy6TEhIwNmzZzmBfX4KN9A2s+fBe5BA55xyufxefXBxNWB/Hbjrf28/oQdmzeqBadOmYcuWLTh//jwSEhKgUqlQWVmJioqK++ax5+fn45dffsFbb72F69evc9Y5OjrCz89P736GhoYYMmQI55eFhvsTQloHBduEEELazJAhQ3Dt2jUkJiZylhcWFjY6fbtUKuXMiKhWq/HLL7/oHKO+0tJSthe3srIS165dw8yZM7F48WKYm5sDqAvI4+Pj8b///Y+TZnLq1CkMHjyYPV+tvEGutiNPbw90dHQ0dxCnUSlnfW1V3XEkEgkWLFiAkydPcnLIc3Jy4OHhgTFjxqB79+5QqVS4fPkyjh8/zk7rDtTluiclJaGyspJzfC8vryZ7xr29vTnBdsP9CSGtg4JtQggBUFRUhOjoaGRnZ0OpVEImk8HNzQ19+/aFVCpt7+Z1GhUVFQgODkZ6ejrS09MhFArZqcr1MTIywtKlSzmzeJ48eVJvoG1kZARHR0cUFhYiKSmJs45hGBgbG7OBNlDX0x4QEICamhqsXbsWDMNAJBIhNzcXN2/ehLe3NwBAYsgNYAvSGGjUDPgC7vKMjAzOY1OeG8rqPZYY3dteO4lPfQKBAB9++CEnZ3zUqFEICgrCV199hbKye0cLCwvT6QWvrq7WOWZ9DfPW9bWBENLyKNgmhDzRsrOzsXfvXly7dk0ndSEqKgq7du1CcHAwJk6c2KpThXd2ycnJOHPmDOLj46HRaMAwDFQqFVJTU9kBjTY2NmzPrFQqRf/+/TF27FiYmZmxx1Gr1Th16hTn2DKZDM888wz69u0LgUAAhmGwcOFCVFVVsQGog4MDrly5guLiYlhYWIBhGE71j+vXr7PBqEwmw86dO7F8+XLIZDI4duPme1cWMbj2rxr+47gfoZwBjtXGKL/JHXxY/zhpaWmcCX4AwMPDQ2dwJlA3Ic2ECROwbds2dtm1a9cwZswYznZXr15FbW2t3mMA4EwTD4Az/TshpPVQsE0IeWIlJibil19+gUKhaHSbmpoanD59GomJiVi2bBnVJn5AGo0Gf/31F86ePctZzuPxYGdnBwsLC9TU1KC8vBxyuRwTJkyAq6srAgIC9AaN8fHxnB5eAFiyZAl8fHw4x5ZIJOjZsydiYmKg0WhgYmIChmFw9uxZDB06FL/88gtnUKWJiQkbbMvlcpw5cwbFxcVYtGgRfH190bUXHxmX7+Vu7/1PLbwHCSA1vtdbzfbQMwDiJ4JR3wuuRQZA4FMi9nFRURGnp1kikTQ50UxQUBAn2GYYBu7u7uDxeOyXRLlcjj179mDmzJk66SRJSUmIi4vTOSYhpPXdf3g2IYR0Qunp6Vi/fn2TgXZ9eXl5+O9//9tkCTnCxTAM/ve//+kE2g2ZmJjA2dkZhoaGSE5Ohp+fX6O9sw3TQ9zc3DiBtpZQKOQEsNpc6ri4OKxcuVKneknD1wGfz0dVVRXWrl2L+Ph4DFnETXXJuaHByjFyJJ1RQaOpC3adnJyAMjvg3ALgTm/O9kFPiWBodi8AVqlUyM3NZR8LBAI4OzujMY31ePv6+nKWhYWF4ccff0R8fDzKy8uRnp6Ov/76C2vWrOFsJxaL0b9//0bPRwhpOZ26Z3v//v24dOkSEhIScPPmTSiVSnz99deYNm3aAx1H2zOzY8cOZGRkQCaToV+/fnjjjTfg4uLSOo0nhLQabRDYcEZCqVSK3r17w8LCAunp6UhMTOSkluTk5ODIkSOYPn16Wze5Q4qMjMSFCxd0lguFQtja2qK4uFgnyM3Ozsbff/+NhQsXgmEYKBQKaDQaSKVS8Hg8nUF9+gJtALCxsUFWVhbMzc2Rk5OD/Px8mJubIzIyklPVBKgLtEtLSznLDAwMANT9/f/tt9/w/opPYOspQ96te73bWUkarJ5WDQsnHuy8+SjO6g/cGKDTFpEUGPXavWBdo9EgKiqK88Wturpap2RffcnJyTrLjIyMMGHCBCQlJUGj0XC21bd9faNGjaK0KELaSKcOtlevXs3+sdX+4X0Yn3zyCf755x94eHhg7ty5KCoqwpEjR3Du3Dn8/fffOn+4CSGPt1u3bunMqhcYGIh58+ZxBkPm5eVh/fr1yMnJYZedO3cOkyZNanJQH6n7QnP8+HHOMpFIhEmTJmHw4MGQSqVQq9U4e/Ysjh49ygl2T58+DaVSiRs3brABqUgkQvfu3ZGfnw+GYe5VCtEzIyQA9O/fH7t372bzovPz82FgYFBXA7seExMTaDQaDBgwAHw+H+Xl5cjKyuLkMyuVSoSfPYlX/n4GK0fLUVHIze0vvsug+K4agJ5KIDwN+MF/IzLeEl1Lu6KgoABRUVHIyckBn89ng2SpVIr09HT069dP77U8duwYZ5mtrS3MzMxgbm6OZ599Fn/88UeTs3HWFxgYiAkTJjRrW0LIo+vUaSRffPEFTp8+jQsXLmDmzJkPdYwLFy7gn3/+QWBgIPbu3Yt33nkH3377LTZs2IDKykp8+umnLdtoQkiri4iI4Dy2srLCwoULdaqO2Nra4oUXXuDkv8rlcp3cV6Lrxo0bnMlrAGDBggUYNWoUe535fD78/f3x1ltvQSQSQaVSITExEZcuXcKePXs4Pb9KpRLx8fE4d+4cLl++zA58jIuL4/TqagUHB0MoFHLqaGvzvUtKSlBVVYWysjIIBAJUVlZCIBCAx+PB1NQUCxcuxIAB3B7q8+fPw8RBgbePymDj1nh5PQ5hDRCyGbVWcThx4gQ2btyI/fv3o6CggO3dB+pyzD08PHD69Gmd511SUoLff/9dpyb2kCFD2Ndl//798dJLL7ET6zSGx+Nh1KhRWLRoUZMlAgkhLatT92zrmwL4Qe3cuRMAsGzZMk5P1oABAzBw4ECcPXsWaWlpcHV1feRzEULaRlpaGufxkCFDGi2D5uDgAG9vb9y4cYNdlpqaSvmu93Ht2jXOY3t7e/Tp00fvtlZWVujduzfWr1/PpokUFxfrTdOztrbG3bt3ceXKFTbt4tixYxg3bhxnOyMjI3h7e+P06dPsspqaGkgkErZt2kl06pNKpRg/fjyEQiEuXbrE9hbX1tYiKSkJvXv3xkdnDRH1lxLhvyuRfUM30De01KDWMQKqrhGAQXmj18jBwQF5eXnw9PRkSxL++++/OH36NFxdXaFSqZCWlqbTY21oaKjzZcDf3x9ff/01Ll68iIiICNy5c4ddZ2ZmhgEDBmDQoEGwtLRstD2EkNbRqYPtlhAdHQ2ZTIbevXvrrNMG2zExMRRsE9KBNKxH3KVLlya379KlCyfYvl89YwKUl3ODTF9f30Z7UxmGwY0bNzj52A3z6bWMjY1hbGyMiooKJCQkoE+fPti/fz/u3LmDYcOGoUuXLigoKEBkZCSSkpLY6eE1Gg14PB7n14uGgadIJMKLL74IGxsbAHXTnKenp7PrtYG5WMZD6GIxhiwSIS1Wg7sJalSXMxDLeLDqyke3UAGKSoKwfXsKrl9vPNj29PTE8OHDdfLalUolbt68qXcfPp+PRYsWsfnWarUaubm5qKqqgkgkQq9evTBo0CAolUpUV1dDLBZDIpFQTzYh7YiC7SbI5XIUFBTAy8tLb6+Xttel/h9jfZqbR0fal/Y+0f3qWB7mvolEIs72BQUF7AQm+hQUFHC2F4vF9Dq5j/ol6YC66hsNr5n28c2bN3Hr1i3OOqFQiPHjx6NPnz4QiURISkrC8ePHUVhYiC5duiAxMRG1tbXIycmBk5MT4uLi9Kb3eHl5QSqVIiMjA0ZGRpygs34bbWxssHDhQri6urLLhEIhp83a+uD1uQby4Rqom5FpY2OD119/HTk5OewvoNXV1ZBIJLC3t0dISAg8PDzA4/Hg5OSEXbt23fc1JRKJ8Pzzz6N79+4oLCxEeHg4zp07x/mSwuPx0KNHD4SGhnK+4LTk65X+VnZcdO9aXnO+yD5SsH3+/HlcuHABcXFxyMvLQ0lJCaRSKSwsLODl5YWgoCCEhobC2tr6UU7TbrTT4xoZGeldr11+vylvy8rK6IXdgTSs4Us6hge5bxYWFsjLy2Mfnzx5Ej169NC7bXl5OWJjY6FSqdhlxsbGOtUrCJdIJOJUGomOjsaoUaPA5+sGpseOHUNeXh6bey0UCjF06FAMGjSI3cbf3x8+Pj5Yt24dFAoFnJ2dkZGRgbt378La2rrJDzx7e3sMGzYMJ0+eREFBAfvLRGlpKYKDgxEcHIxu3bqBz+ez97WqqgrJycmc+67d50EYGBhg1KhRetdpX7OBgYGwsbHBmTNncPXqVZ0cdIlEgj59+rCfp4cPH8bevXt1JsXRunTpEi5dugRPT08sWLCg1aqO0N/KjovuXcupPyttYx442K6qqsKWLVvwzz//ICcnhw0iJRIJTE1NUVtbi1u3biE5ORkHDx6EUCjEsGHD8Oyzzzaar9fZmZqatncTSDMwDIOysjKYmprST64dyMPct+HDh3PqLOfk5OD8+fMYO3YsZ7va2lr8+eef4PP57JgN7d80Y2PjlnsSndDgwYMRGRnJPpbL5YiNjeUEngzDoKCgADExMSgpKWEDcVdXV4wcOZIzc6TWggUL8O2338LFxQVSqRQpKSmora3VmbpcSzsocOrUqZBKpZxyjnZ2dnjttdf01rA+deoU574LBAIEBQU1ep5HZWZmhp49e6K8vBxJSUkoLy8Hn8+Hubk5fH192fSXEydO4MCBAxAIBPedbj0jIwO///473n77bZ3Bv4+C/lZ2XHTv2scDBdvbt2/H2rVrUVRUBB8fHzzzzDMICAhAjx49OKOgGYZBeno6O3L81KlTOHHiBIYPH4533323ycL9jxPth2ljPdfa5Y31fGvRC7pj4fF4dM86oAe5b7169YKZmRmnd2f//v2Ii4tDSEgILC0tkZaWhsjISJSXl3OOGxgY2GoBV2fi4uICV1dXTprdnj17kJubi5EjR8LBwQHl5eXYv38/rly5wtnXwcEBISEheu+nm5sbrKysUFRUBHt7e1hZWSEgIAAFBQWc6ifGxsYIDg7G4MGD2TJ+oaGhSEpKYo+bn5+PH3/8EU8//TQ7G2NpaSmOHTuGM2fOcM7fp0+fNuk4MTU11Rn8qHXz5k3s3r1b73UxMDDQO5YgKysLW7duxfPPP9/ibaW/lR0X3bu29UDB9hdffIGJEydi0aJF8PT0bHQ7Ho8HV1dXuLq6YsqUKaipqcGhQ4ewYcMG7N+/H6+88sojN7wtyGQyduS7Wq3W6UXQfojQxDaEdCwCgQAzZszAb7/9xlmemZmJv//+u9H9DA0NMWnSpNZuXqcxfvx4rFu3jrMsKioKUVFR4PP5UKvVKC0t1UmbGDlyZKNl7Hg8HgwNDVFUVASgLl2lT58+CAkJQVVVFZsX3TA/GwD8/Pxgb2/PqZuenp6O7777DmZmZjAwMEBubq5O2h+Px8PIkSMf+jq0lKNHj+osCw4OxqhRo2Bvb4/a2lpcvHgR+/fvZ9MgASA2NhaTJ09mB34SQtrWA9XZPnr0KL755psmA219pFIppk+fjqNHj2Lq1KkPtG97CwoKarSurvYn0r59+7Z1swghjygwMBBPP/10s7c3MDDA0qVLOZOdkKb17NkTEydO1Luufn52fRYWFujWrVujx6ysrNSZoEz766KhoSGsrKxgbGyst9eOz+djyZIlenOYS0tLOamR9T399NPo2rVro21qSRqNBqmpqYiLi8OlS5dw69YtqFQq5Ofn60xVP2HCBDz77LOwt7eHSqXCnTt3IJPJMHbsWFRXV3OeS3h4eJu0nxCi64F6tu9XHut+BAIBHB0dH+kYraW4uBglJSUwNzeHhYUFu3zGjBk4fPgwfvrpJ2zevJnN3zt//jwiIyPRt29fKvtHSAc1YsQIWFhY4J9//tGpt1yfu7s75s6dCwcHhzZsXecwYcIEGBgYcGZzrE8sFkMmk0Eul8PW1haenp44ceJEo6UCT548yTmOUCiEu7t7s9tjb2+PN998E2vXrm3yngN1wfmMGTMwdOjQZh//YVVWViIiIgIRERE67TIyMoKhoSFqa2vZ/HKZTIYxY8agpKQEZ86c0alKkpOTg4KCAtjb28Pe3h6XL19+oC+XhJCWw2M6cZmMnTt34tKlSwDqct0SExPRu3dvtodixIgRGDFiBABgzZo1WLt2LV555RW8+uqrnON8+OGH2LlzJzw8PDBkyBB2unaJRELTtXciDMOgtLQUZmZmlMvWgbTEfdNoNLh27Ro7jbZCoYBMJoO7uzsGDx7cYcaZtCeGYZAWq8GFv5XIT9VAIWcgMebBsRsfwXNEkNqUISIiApGRkWyKA8MwYBgGFhYWyMzM5Aw67devH6ZPn87mx9fW1uLUqVM4cOAAp8e2X79+WLhw4QO3t7q6GmfPnkV4eDgKCws56yQSCfr164ehQ4e2yRes27dv4+eff0ZVVVWj26SkpCA3Nxfe3t6wsrJCYGAgAgMDsWnTJk7VF62ysjLEx8cDqEu16dmzJ7Zu3doi7aW/lR0X3bv28UA92++9995DnYTH4+Grr756qH0fxaVLl7B3717Osvq1WB0dHdlguymff/45vL29sWPHDmzZsgUymQxDhw7FG2+8Qb3ahHQC2mnD/f3927spHdKl/Uoc/UGBzGu6sykmnVLjxFolvAZKMXHFBExaOQmFhYWorq6GSCSCUCiEkZERPvzwQ06wGR0djZiYGHh4eEAsFuP27duoqanROf7w4cMfqs3aknwjR45Eeno6ioqKoFarYWxsDDc3t/tW76itrUVBQQEUCgUMDAxgY2Nz3+og+qSkpOCnn36CQqFAZWUlO0GNRqOBQCCAsbEx7OzsANRNYHP9+nV069YNWVlZnBkuG6ofSGmnuk9JSXmgXwEIIS3jgXq2fXx89B+kweQFDZfzeDxcv3794VtJSBugb/wdE9239sMwDHZ/XIsTa/XP9tgQjw88840EQ58Xs/tr711iYiLWrVunM1iyKZMmTcL48eMfqt2pqamIiopCdnY2amtrIZVK4erqioEDB8Le3r7RfVNTUxEeHq5Te10mkyEkJASDBw9u9kDEmpoafPTRR7h79y5SUlI4gxq1sz7W/4KhUqmg0WigUqkgEAjQs2dPWFhYQCQSsdtYWlpCo9Hg8uXLnCnbjQVd0c/6NXQxGAx5KQ8CIWBmz0PAeCH6PiWCxLD57x16z3VcdO/axwMF2w0HpWg0Gnz55ZeIj4/H/PnzERgYCEtLSxQVFSEmJgZbtmxBQEAA3n//ffoZljz26I9Qx0T3rf3s+08tjq7STWG4n/lrpQiZI9K5d5cvX8bvv//e6FTt9U2YMAETJkx44Ht+69Yt7NixA5mZmY1u061bN8ycOZPtUQbqeoe3bNmC6OjoJo/P5/MxefJkjB49+r5tCw8Px3//+1/cuHGD/ZJhZmYGV1dXNqVGLpcjNTUVqampKC0thUgkYnPWLS0tYWxsDCsrK4wePRrPPfcc7O3tUVpaiuXLl+P69euoLTSDW8UrsKgdCF4jNREMTIBBz4ow4V1Js4Jues91XHTv2scj5Wxv2LABf/zxB/bt26f3m3xeXh6mTJmChQsXtkqNT0JaEv0R6pjovrWP5LMqrJqkW9fZsgsPQdNFMHfgIS9Fg4s7Vago5H7MCMXAp9GGsOrK07l3eXl5+Pfff3Hx4kWdoJvH48HPzw8jR46El5fXA7c5JiYGmzZtalbvuUwmwyuvvAJ3d3eo1WqsW7cOiYmJzT7XmDFjmqy+xTAMli1bhpMnT7LtMTExgb+/P+d1XF5ejoSEBBQUFKCsrIzdlsfjQSqVwtDQEF26dIGfnx8mTZoEW1tb7NmzB8XFxWByPaCJnAeBRn8ZxYa6BPDx6j8GMLFuulAZvec6Lrp37eORgu1Ro0Zh0KBB+Oijjxrd5vPPP0dkZCSOHz/+sKchpE3QH6GOie5b+1g7U45r/96rCsIX1KWIDH5OBL6gXr5wLYND3yhw7CduD/iIpSJM/4+k0Xsnl8tx7do1FBcXQ6PRwMTEBN27d4elpeVDtTc5ORk//fTTA6WpyGQyvP/++4iIiGj0M0wsFusdoAgAS5YsQe/evfWuKywsxNixYzkVRPz8/ODm5obg4GDY2Njg8uXL2LBhA2pqaqBSqZCXl4eamho2n1sikUAgEMDKygpGRkZQKpXo0qVL3S/Jxc7AmZcAtbjZzxeoC7jfPCiD1Kjx9xK95zouunft44Gna68vNzeXLYXXGIlEgtzc3Ec5DSGEkMdI4R0NEo5zy/hNel+M0MW6nwciCQ9TP5GgvECDqG33cpyjtikx6b3GPz9kMhn69evXIu1lGAbbt2/XCbQtLS0RHBwMa2tr3LlzB+fPn+cM0pTL5fj777+RnJzM2U8ikWDs2LEYOHAgjI2NkZ+fj1OnTiE8PJwzfunw4cPo1auX3qAmISGBE2jzeDxMmDABI/rNQtRWNcIuqJBxyx59meGoVGcjV3ASFaItUCrzodFowOfzwTAMBAIBhEIhm9udlpYGU2NzmFyYoxtoC2uArnGYsMAPpoZWiD+iQuIpNep3ud25osGhb2sx/T8PP727XC5HVlYWO8GQvb09zbpKnmiPFGzb2dnh5MmTWLZsGVv7s77q6mqcOHGCk/dGCCGkY7t8UMUJ0KTGwNAXmu54Gbtcwgm25aXAjQg1uvRvpUbWc/PmTc6skQAwZMgQzJw5E3x+XcpEv379MHHiRGzYsIGTLnL8+HFYWlqyn3E8Hg/Lli2Dm5sbu42NjQ1mzZoFOzs7zgykd+/eRWpqqt4KILGxsZzHZrzuKNrzFD57vX7FFQvwABjDHsboAxcsxV3jXbgo/w9UkMPCwgJ8Pl+nSEHZDUeYVDaYfMnxKtD3H0BcA78J3nBxEWPwc2JkXlNj/ZxqFGXe2//s/5SY8K6kyd5tfdLT03HmzBmdwaM8Hg89evRAaGhoo/XTCenMHmgGyYamT5+OzMxMzJo1CydPnmQL8ZeUlODkyZOYPXs2srKyqJA+IZ2IRsMg6YwKez6txZ+v1WDL6zXY90UtUqLVjZYhI51LSRa3h9h3uPC+gZmNGx/OftyPnJLstnm9nDt3jtsWGxtOoK0llUqxcOFCzi+2BQUFyM/PZx/36dOHE2jXFxoaqjPDqL7Zh4G6Otha5rXB8M1djxvhTae4iGAEV+UCjBTtg7mBMxwcHNhZM+szKxzH3dE0BxiwFRDXBfJmZmbsKmc/AV7+ywD149+aCuDizuZVmAHqiiXs2LEDX3/9NS5cuMAJtIG6XxauXbuGNWvW4Oeff0ZtbW2zj01IZ/BIPduLFy9Geno69uzZw04Ew+fz2Z/qGIbBtGnTsHjx4kdvKSGkXSlrGURsViJsowL5KbpB0tEfFHDqwcfQF0QIns3N2yWdi6pBirLMtHn3WmbG3U5Z0zbBdsPKIwMHDtQJtLWMjIzQq1cvtupIbW0tJ7UkICCg0fPweDz4+/vj1KlT7LLS0tJGtzUxMQEKXeFbshJ8ND+32gJ+CNFshkm3rVDzqmFubo47d+6AYRgYCM1hcKwXdwfvcIBf97ns5ubGCbYBwKmHAD1GCTg5+JcPqeA3pQoFBQVQqVQwNDSEg4MDp8wgUPc5v2XLFkRFRTWr7VevXsWaNWvw+uuv6xyLkM7qkYJtPp+Pr776ClOmTMHevXuRnJyMyspKGBkZwcfHB1OmTEFQUFBLtZUQ0k4qCjVYN6saabFN97zdTdBgy2u1iNuvwgubDSA1poC7M2oYXKdf1p2GvSGVgsHdBO52FTV5OHQoHBqNBkKhEBYWFujTp0+z61Q3V8MBjLa2tk1u3zD1sf708PebuEYo5H6sNjYgUyqVwsHOGSa3P9cJtMVGKtTaRwKWd1BVpob6jjdMqvpzSveZanyBpNEQ+h9CRUUFKisrYWhoCCmsofOjteM19p+hoaF62xMwTsgJtm9fK8CKFdzJ6GQyGYKDgzFkyBA2UI6MjNQbaPN4PJiZmaG8vJxz/YC68ot79+7FjBkz9LaFkM7mkYJtraCgIAqqCemkqssY/DSlGncTm1/FIfGUGutmV+O1XQYQSSjg7mxcA7kBZ+ZVDdLj1HDp3XggGndAhaoS7rJjMRugkN6FWCxm83j37dsHX19fjB8/vsVmO2w4G2RWVlaTPdT155QQiUScADshIaHRCiMMwyAhIYGzzNTUVO+2Xbp0QVqEKfiaBhPodIlDZc+/cCE2ArzKulxsjaEGRhIP9ChbBam63vTxqf0A3+OAUIGCggKkpaXBUFWNPg1PJqj7smFjY4M+fXTWAoDOF2NFjUpnG7lcjpMnT+LUqVMYN24cJkyYgGPHjnG2EQqFGDt2LIYMGQJjY2PU1tbiwoUL2LdvH+RyObtdREQExo8fD0PD5pUlJKQje6ScbUJI5/fXWzV6A217Hz5CF4sw+DkRrLrqBtQ3I9XY/wXlZnZGPUYKYO7Avedbl9Wgukx/Wkhxpga7P27wWrBOAUzy9W6fmJiI7777DmfPnm2R9nbp0oXzODIyUievWKu0tBRXrlxhH1taWsLIyIh9HB0djby8PL37xsXF6Uz+5ufnp3fbgQMHgp8awllWLb0NdZ9tEBkwbLURjUaD0tJSFCivIdHsbTCo915UGgAZvVBdXc1WNlHyyqCjuCsMDQ2xdOlSnZ53reSoGu4CsVzvdkBdb/2ePXvw22+/obCwkLNuwYIFmDBhAjspj0QiwZAhQ7B8+XKdKeSbm3pCSEf3yMG2SqXCH3/8genTp6N3797o3r07u+769ev49NNPkZaW9qinIYS0g8IMDWJ2c4MSCycelu01wCdRMsz6Too5q6T4T5whlvwphaEFNwAL36RsNAAjHZdAyMOgBdx828xrGnwxpAqRfypQW1V3zyuLGRxfo8AXoXKU5jR4Hbg3HWgxDIOtW7ciJibmkds7aNAgzuPi4mL88ccfOgP1SktL8f3336O4uBiVlZVQq9VwcnLiTN+uUqnw/fffIzo6mg3Y5XI5/v33X2zevJlzPGtra85novZ53bx5E5Gn44ACbs99umQzLsZeQEpKCoRCIcrKylBQUACFQoGqqirUSFOhsuZOrCPMD0Bqair7WMEvRI2AG/BL7w7Du+++22hlsJpKBue2NfgyZJled3yhsNGyfTt27OAM9HRyckJgYKDebZ2dnXXWxcfH692WkM7mkdJIampqsHDhQly+fBnm5uYwMjJCdfW9GcWcnJywZ88emJqa4o033njkxhJC2lbEZiWnxJvIAFh+UAZrF+73dD6fh94TRbBw4uOb4XJ2H4UcOL9DiWH3KQtHOp5hS8SI+kuJwvR7L5DCDAZbXq/F1mW1MLTgobKokS9aVmmA01UAdQFpQEAAFAoFrl69ykk1AICtW7fC19cXMpnsodvq6uqKrl27IiMjg10WExODpKQkBAUFQSKR4NSpU4iMjOQE4DweD0FBQejevTtu377N9syWl5dj06ZN2LZtG8zNzVFQUKCTlwzUTfym3YdhGFy8eBFHjx6tK0NYZgdgJGf7AnEYeCoVsrOzoVQq2c9ToVDIPn+FZRxEBfd6y3k1prBwsUBtbW1d7zYPqLI7DWnWPHabmpvdcfe8FLZTdK+NRs1g40slUFdzy/caByRh+nPPITAwEEKhEPn5+Th+/Djn1waFQoHMzEw2VcbPz6/Jsn5+fn6cL0/1A3VCOrNHCrZ/+eUXxMXF4c0338TixYuxdu1a/Pzzz+x6Y2Nj9O3bF5GRkRRsE9IBRTco/zVovkgn0K7PpZcAvSYJEbf/Xm94NAXbnZKBCQ+v/iPDDxPkKM/nBtUMg8YDbZM8IGQzxFIR5s+fD3d3d5ibm4PH40GpVGL//v04ceIEu3lNTQ3Onz+P4cOHP3RbeTweZs+eje+//54zBXxVVRW2bt2KtLQ0vQMZtSUAb968iYKCAlhbW3Pyt2traxudtK1///5sjzrDMNixYwfOnDlzbwMN933EQAPw677cWllZwdHREbdu3UJFRQVbS1sgEEAg4Qb1yloN7O3tYWdnh9raWggEAixZMBh/Ps1ApbgX+G54rgb9j6kQ+rwYLr35UNUCV46ocHyNAneucH+l4NvfxgffvABzc3N2mY2NDebOnQtTU1McPHiQXV5SUoLq6moYGBhwSn/W1NQgLS0NFRUVEAgEsLS0pNKg5In1SMH20aNHERQUhOeffx4A9H6jdXZ2xvXr1x/lNISQdqCsZVDaoA5y0PT7l+rq+xQ32C5Ipw/YzsrOk493j8vwy7xqZF5rxgBa2+T/r/dcjaeemoXAwEBOaTyRSISnnnoKeXl5uHr1Krs8PDz8kYJtAHBxccGLL76IX3/9la1OcufOHaSnp+vdXiwWo0ePHuxkNpaWlsjLy4OdnV2jZQO1Bg8ejFmzZrGfiQcOHOAG2gAgqeI85IEPY2UPVIgTUFhYCIlEAn9/f7a339LSEm5ubpAm+jRoaN0vATweD0ZGRnj11Vfh4+ODkvdqsfczbhWWCztUuLBDBR4fYBq7XQIFgl8qhrl5L72rR48ejVOnTkGhUEAsFoNhGBQXF8PR0RFXr15Fv379EBYWhgsXLuik6dy9exc8Hg92dnYQCAQ6JQgJ6aweKdjOzs7GiBEjmtzGyMgIFRUVj3IaQkg7UFTrLjO1u39lEXN7biCikFOw3ZlZdeXj/TMyJJ5UI+x3BRJPcqf/FoiAriFlSOVvqcsD5gEGBgYICQnRezwej4fhw4dzgu28vDxUVVU9cuWKHj164N1338WuXbtw7tw5vYG2Nhjs0qULZ2ZkkUgEe3t7ODs7w8DAALdu3eLsx+fzERAQgKFDh8LLy4tdnp2djaNHj+qcx8ZFinKLatQUG7DL/AxeRKbDt5DL5aiqqoKrqysmTJiA5OTkurYqpEBGg0oo1nX52mZmZnjhhRfYCi6jXxejOJNB+CbdyWkaDbT5KmDAFgycMLmRDeq+hPj4+ODChQuwtLRETk4O++UlNjYW8fHxsLa21tmvoqICaWlpYBgGWVlZ8PX1bbIiDCGdySMF24aGhiguLm5ymzt37sDCwuJRTkMIaQdSI91lOckaWDg13auXncz9JKda251Lbm4uLly4gNzcXCiVSshkMnh6eiJoSBD8RstQUahBYTqDmioGBsY82LrzcSEuFql/p7PHcHJygkgkajStwNXVVWeZXC5vkTJxTk5OWLZsGYqKilBWVga5XA61Wg2hUIigoCC88MIL8Pb2hlwux7lz53Do0CHU1NRV6uDxeMjOzsa3336L2tpa5OTkoLa2FgYGBujatStbgaO+sLAwzvPk8/mYO3cugoODcdRMgf1f3Ot9FmYFwbXLFMA3nm3rtGnT6gZVJqdg8wsKlKjqlzHUwHFwFkZOXoDAwEDOJDE8Hg+zvpfA3JGHg98ooL7fhJCyEqDfX4B1Gni8Kc26lmZmZjAwqPuykJ2dzea1V1ZWwsHBARKJBCqVCrm5ueykO0BdiklCQoLe+0xIZ/RIwXZAQADOnDmDiooKvX9kcnNzERER8cg//xFC2p5AyIODDx/ZN+4Fz1HblPAd3vSfjait3E91px5UYbQz0M4WnJycrLPu4sWL2LVrF4KDgzFp0iS4BnIHMzacKbCkpKTJ/F19sy625GyDd+/eRX5+PifYmzp1KsaMGcM+lslkGDlyJLp164Yvv/ySzenWaDSIjIzEuHHj9Pbg1qdQKHDhwgXOshEjRrC9+gPni3B4pYI7I+f5eUCWL+AehZiLlzB53AzcOCXGibX2KLnO/SLrO0KA1755pdHz83g8jF0uQchcESK3KHH2DyWK73Kvu8cAAbINdkJuHg0I6vLB4+Pj4eLi0uhzunHjBnt8Z2dnVFZWIiUlBUBdfnpmZiYyMzMhFoshFAqhUql0Si1aW1vjzz//xMcff3zftBxCOrpHCrYXLVqE+fPnY8GCBfjggw/YN1N1dTWuXLmC//znP1CpVHjuuedapLGEkLYVMk+EnR/cy7uM3avCwGdV6DZE/5+O6H+UuH2BO4Br4Dyakrmju3TpEjZt2tRobWqgbrDgmTNncOPGDbz++uucwXUNS84VFhbi9u3b8PDw0HushvWXDQwMGi0/9zAuX77MeWxqaoqRI0fq3dbJyQkDBgzAuXPn2GUxMTHo0qULcnNzoVAoIJPJ4OHhAScnJwB1M05ev34d8fHxuHXrFoRCIUxNTWFoaIhhw4YBqAtKi6vuwHdGNeK3OnFPeqc3cKc31ADe+1sDoEENbABSY+DpLwx0lutjYsPHuDclGLu8LrWkqpSBQAiY2vFhZMHDX3+JEB5+730bFhaGwYMHc+6h1vHjxzkVY2xtbWFsbIzs7GzOdg4ODnB2doZEIgHDMCgvL0dqaioqKipgZmYGFxcX5OTk4Nq1a/D392/W8yCko+Ixjzg8ePv27fjyyy/1lj0SCAT45JNP8PTTTz/KKQhpEwzDoLS0FGZmZk2Wr3qSVJUyeLd7JZT18reFEmDcW2IMeU4EI8u6HqmSbA1O/6LAiXVKTj6oiQ0PX18zhFDceteT7lvrunHjBlavXt3otOP6ODg44N1332VnbmQYBh999BEKCgo427zxxhtQq9Wce5eSkoJVq1ZxAvvQ0FDMmjWrhZ4RsHHd34jZwQOyegDVJhAJpbC0l8GjvwCDnxOhawB3JsyrV69i3bp1UKlUyMrKQmFhod6ZGJ2cnGBoaIjs7GxUVFSgtLSUk3tuZWXFVkQ5c+YM7t69CzAA4qYCKfpz2PXhiVR45r9VGDrT6f4bN0NWVhY+//xzzjJzc3NMnToVffr0gVAoRGFhIf79919ERESAYRh2gKSHhwfS0tKQkpKCzMxM9jq4ubnpnEetViM3Nxf29vZsb7avry9ee+21Fnke5P7o72X7eORgG6j747h9+3ZcvXoVZWVlMDQ0hL+/P2bPng1PT8+WaCchrY7+COl34KtaHP5OobNcIAIcfflg1MDdRI3eQVezf5BgyMLWLftH9631aDQafPjhhygqKuIsNzIyQmBgIMzMzJCWloarV6/qpIWMGzcOkyffG2h34sQJ7Nq1i7ONgYEBAgMDERgYiNraWly6dAkXL17UOdann37KmVjmYVWVMNj1UQ3O/60Ao26ihGUfPmZ8JYV7UF3QnZiYiG+++QYJCQmoqamBSCTCgAEDOPvI5XJ2vZWVFXx8fFBZWcmZjZJhGJiamkIikcDb2/te+gQDIDkUTMJo8DT3+SXIsBDovw08q7uYPn36fYsUNNe6des4Xwy0tDW+y8vLOc9DG2yPGjWKLdVYWVmJvLw8eHh46OSpBwQEIDQ0FAUFBdiyZQtn3Zo1axqd2ZK0LPp72T5a5NXt7u6ODz/8sCUORQh5zEx4V4ycmxpOOT8AUCuBO1ca7+0Mfb5uKnfScV27dk0n0B40aBCeeeYZTg51Xl4e1q1bx5nG/OzZsxg/fjwbRA0ePBhnz57lbCOXy3Hy5ElEREQ0+sE/aNCgFgm0izM1+OmpauTd0uB+kyenX9Jg1UQ5nvtFisCpIkRFReHq1ats1Y2G+eM1NTWc9YWFhbh+/Tq8vLzA4/HYwLOkpIQd6MkwDLp161b3vHkAfMJwW/UX5Ek94I65MEL9KeY1gO1twOMcYH8d4GvAMMA///yDlJQUKBQKZGVlQaFQQCqVwsXFBYMGDYKPj0+zA6pnn30WK1eu1JmKXqVScQLt+qZOncq5FkZGRggICMBrr72GnJwcVFdXQywWw87Ojh3c2jClSKPRoLKyksoAkk6NRiUQQprEF/CweKO02YEzjweMf1uMmd9KqOekg4uMjOQ8dnJywpw5c3SCTVtbW3a+Ba2KigpOr65EIsFrr72mNw+4MX5+fpg5c+aDN7yBqlIGq6drA+3mUSmA31+oQfSBuqndtYE0UFdzG6i7Hn5+fsjIyOCsB8B+SenZsyfEYjEqKyuhUChQWVkJpVKJwsJC5ObmwtzcHH5+fhAKhbiafB7J+AVHMBAHEIhTwrFI8X4Bbm/9AZ8lERC53AT4dc+hsLAQFy9exOrVq3Hx4kWUlJSgqqoKRUVFuHTpEn766Sd89tlnuH37drOer5GREd56661mVQjh8/mYMmUKxowZo/MeV6vVkEgkcHFxQbdu3eDu7s6pIqMv758GSJLO7pF6tvft2wepVMoZwd3QjRs3cOPGDUyZMuVRTkUIaUcCIQ9zVkkxYJYIZ35TIG6/iltBAYBYBvR7WoShz4vg6CvQfyDSoTSsQz1kyJBGv0A5OzvD3d2drUoBABkZGQgMDGQfW1lZYcWKFfjzzz+RmJjY6HmFQiGGDRuGKVOmcGZsbEij0SA7OxtlZWXg8XgwMzODvb29Thv3f1GL3JsNAm2BCnC6AjgmAEIFeMWukGQNRk3JvdraGhWwaUk1Skwr6nqfcW8K9yVLlsDZ2RkZGRm4evUqzM3Ncfv2bahUKhgbG8PT0xOOjo6YM2cOvv/+e4SHh6OqqgoMw6CoqAiGhobg8/mYNm0aEhISkJ6eDjMzM5SVlUGlUqEG+XByMUGX7gZY/OJcWFpaQi6X49ixY9i0aRPnOmdnZ+sdbJqTk4Mff/wRL7zwQrMGIZqYmOCdd95BXFwcwsPDcfPmTc56AwMDBAcHY8iQIezsmg2/PKWnp6OkpKTRL1X1v4ABdfe6JUo6EvI4e6Rge8WKFeDxeDh48CC+//57tt5mfSdPnsS6deso2CakE3DrK4BbXwPM+EqDlGg1KgoZ8PiAiTUfngMEMDClnuzOpLqaO7ORs7Nzk9s7OztzgsCG+wN1tZlfe+01ZGdnIywsDHFxcVAoFBAKhbCwsEDfvn0RHByst5ysVmVlJc6ePYuzZ8/qpLnY2tpiyJAhCAkJgVQqhbyMwfnt3HKU9t58DHwvDTuP/M0uY+xuosb7JHBlKpDS/97GNSawlgxDvsG/AOp6sz/44AP28y48PBw8Hg82NjYQCAS4desW21Odn58PjUYDa2trCIVCmJmZoaSkBAAglUqRnJyM77//HmZmZsjOzoZIJIKFhQUKCgpgZmaGgIAA8Pl8REREYOrUqZDJZHB3d9e5rnl5eXB1ddX7xUSlUuG3337Du+++e9/7B9T1Mmvz6EtKSlBQUAClUglDQ0M4Ojqy9dG15Rm7d+8OiUTCzhbJMAx2796NRYsW6XzpKS8vx7FjxzjLAgICmvxCRUhn8Mg529bW1jh16hRmzZqFX3/9Fba2ti3RLkLIY8zYio+A8fTTb2cnkUigVN4LVBvWpm4oPz+f81jb+6mPg4MDZs2ahbFjxz7QYK0bN27g119/5ZSfqy8vLw///PMP/v33XyxduhQpx+yhqLcpXwC8tM0ANm69kFc5GBEREfdWCtRA791AqR1Q5MIutpc/jXyDfyGTybBkyRJOx5K25jQAWFhYwNfXlzPYLzk5GZ6enjAzM0NpaSmEQiH4fD6bilNaWgqpVMpOnMPn82FhYYHevXuz6RXaczAMg3/++QfOzs6cUnsymQyhoaEICgpCZmYmwsPDObnXSqUSu3fvxrJly5p1jbXMzc3vm/YjlUrRv39/hIeHs8tiYmJQVVWFsWPHwtPTE0qlEjExMTh48KBO/ndoaOgDtYmQjuiRg+0ZM2bA3NwcX3/9NZ566in8/PPP6NmzZ0u0jRBCSDtycHDgpBJERkaiX79+erfVDgqsz9HR8aHOqx1Q2DAAv379OtasWaO31GxDZWVl+OGHH+Bw61MA93LMA8YLYeteF8TOnj0bEomEraZRd1IG8IoAzruwi0yVPWFu6ASfns7w8/PjnKeysvLerjweAgMDORP/VFZWoqamBj169EB6ejoqKio4z0ulUrFfaPh8Puzs7GBubs4ZMFhZWYny8nLs3r0bMTEx0Gg07D4eHh7o0qULfHx84OXlBS8vLwwdOhT/+9//OBPqXL9+Hfn5+bCxsbnvtXtQI0eORFRUFOeLWVJSEpKSkjgDRBvy9PRstNY6IZ1Ji1QjmTNnDrp27Yply5Zh3rx5+PLLLzFhwoSWODQhhJB2EhISwgm2b968iX///RejRo3iBIxyuRybNm3iBFUSiURvLerG3L17F+Hh4YiPj2d7P01NTdmScYaGhtiwYYPeQNvQ0BAajUYnvaK2thYZySUA7gWYPUbe+9jj8XiYPn06evfujTNnzuDSpUt1x7dP0jlHD4/+4Inydc4hFArZFAqgLshvuF7bm+3m5obq6mpUVVVBIpFAoVDAxMQErq6uKCsrg62tLcRiMXJzc6HRaCAQCFBVVYXs7Gy8++67SExMREFBQd2EOMXFEAgEKCoqgoGBAScVg8/nY/bs2bh69SrnF4Dz589zyjG2FGtrazz//PP45ZdfdOqxNxZoW1lZ4YUXXqBB1OSJ0GKFLQcOHIgdO3bgxRdfxNtvv43U1FQqVE8IIR1Ynz59sHPnTk7v7Z49exATE4MBAwbAzMwMqampiIqK0knrGDBgADupTVMqKiqwZcsWvQMmS0tLERYWhrCwMAgEAtTW1nJSNLp3747Jkyeja9euAIBbt25h7969SE1NZbfRqLnBnlBPZoubmxvc3Nwwc+ZMZGRkoLJCjt/3cLfhMXXBbExMDGewoaWlJaqqqgDU9VKfO3cO7u7unPXadBq1Wo2ysjIIBAL4+fmBz+fjqaeeQkhICJYvX87uk5+fDx6PB4FAgBs3bsDMzAwODg5soK9QKMAwDAwMDFBZWYkbN27g9OnT6NmzJxt0SyQSBAYGctJkcnNzdZ98C/H398fSpUvx+++/N5rio+Xq6oqXX365RWcFJeRx1qJV5N3d3bFz5068+uqrWL9+PVJTUx/6Z0RCCCHtSyQSYcaMGdi0aRNneWZmJjtboD6mpqYYP378fY9fVlaG//73vygvL2+yh5NhGERFRUEgEMDf3x8ikQi+vr6YO3cuoqKicOTIEdTU1EAikcDT0xMVFRX3ZquUVAK4N5boVpQa/WboL2NpaGiI7t27I/msCkCDwZ2SuoA6JiYGAwcOhI+PDwAgKCgId+7cAcMwSEtLQ05ODiwtLdk89MDAQFRVVWHfvn24cuUK2zMdGRkJV1dXeHp6wtDQEL6+vmzPdWlpKUpKSsAwDPh8PqytrQHUBesajQYVFRUAwAbWMpkMycnJ2LZtG+bNm8deSwsLC85TaFiesKX16NEDX375JaKiohAeHq6Tw+/r64vQ0FD06NGjTcr9qdVqlJSUQKFQQCaTwdTUlHrSSbto8SmbzMzMsHnzZnz88cfYs2cPzQpFCCEdWL9+/VBaWoo9e/bcf2MAxsbGeO211+7ba6lWq7Fu3ToUFhY2OZASqMtZ1qZqJCUlwcvLC5WVlXj//fd10hSuXr2KkpISZGVlwc3NDTLrVKDgXk/zxV1KTPlYAiOLxoOu079yq5fAuACQ3hvYt3r1agwePBgDBgxA9+7dUVpaioyMDDaF5Nq1a7C3t0doaCjy8vKwefNmhIeHs0EyUNfLXFtbixUrViA4OBhWVlZITk5GXl4eGIZhvyyYmJjA0NAQNTU1qKmpgVwuZyuCKJVKSKVSODg4gMfj4dy5c/D392d73huWbpTJZE1e55Ygk8kwYsQIDB8+HMXFxaisrIRAIIC5uXmblfjTpiRFR0dzUnzMzc0xePBgDBw4kHrVSZt6pEjYwcFB7wtWKBTiq6++gpubG3744YdHOQUhhJB2Nnr0aFhZWWH37t06pfbq8/X1xezZs2FlZXXfY166dAkZGRmcZTKZDMOGDUOPHj0AAPHx8Thz5gznnIWFhaioqNBbalbLzMwMCQkJuHLlCnzdDGHKGw4wdT2ptVXA5iXVWPKnAcQGugF3xGYFrhzmTrzSbUIJrtdLFddoNGx6C1CX7lI/V5thGOTm5uLChQvYsWMH1Gq1zkRAQF1u9dWrV3H16lWIRCK2t7empobNfVar1YiLi4OdnR1sbW05Xy6USiUMDAw4VcBOnz4Nf39/FBQU6Ey/7ubm1ug1a2k8Hg+WlpbsBEBtQaVS4e+//8bZs2f1ri8pKcH+/ftx5MgRPPPMMxg0aFCbtY082R4p2D59+nST6xcvXowpU6ZwvlkSQgjpePr06YNevXohISEB58+fR35+PvvzvIeHBwYP/j/2zjs+inL7/+/Zkk3vhRRaQgmEXhI6oRdRiiIIiqKiKOXa2/XnVe9Xr9feC1YUbICIAgLSCYQSIAESaiAhpPe2yWbL/P7IzSST3RRIgATm/Xrl9co+88zsMzvtzHnO+ZwRlyX9WmWoVuHl5cUzzzwjU+Ho2LEjw4cP58knnwSqwwKsYsFNWrjUE/LbQoUDqI0ElYSQrfubE4lRRPjFocnoK3U/sdXMy4NKGfOIHb0na7B3gsQDFnZ+U0HCNnkCpp0jPPB/ffhpdX8OHz5sc1/at29PWVmZ5I0WBIGgoCCSk5OlhE47OztcXV2l5E93d3eZAW40GlGr1Wi1WunlwsHBQQp/6Ny5M3q9XhZ37eTkRJ8+fTCZTFJIyalTpzh27Bhr166VJSva2dnVqSRzI2CxWPjiiy+sXjBsYTQaWbFiBWVlZYwfP/4ajE7hZueqx3g0xsOhoKCgoNDyUalU9OrVq8nyrjk5ObLiNwAzZsyQGdpVeHl5MWXKFA4cOEBxcTEWiwW9Xk9eXh6eDu1RnxsDSeGYy6pDUQSgI4PpULyQfLv9pHltpqt7H8oKqj3ZuRdFfn3ewK/P1+8MuuPfOlw81Tz44IN4enqydetWq9AVQRAIDQ1Fp9ORlZVFly5duHjxopVyiqurK0FBQdjb22OxWMjOzpb1MZvNuLi4IAgCzs7OODk5SYa7IAg4OTlJet3Ozs5069YNtVrN4cOHcXFxwcHBgdLSUl566SWrF59BgwZdkzCS68W6desaZWjXZM2aNQQGBhIWFnaVRqWgUMllGdvPP/88giDwxBNP4O3tzfPPP9+o9QRB4PXXX7+iASooKCgo3FjYKn7Tt2/fOnrDrbfeyquvvioVfgHIiLfDp/AZzPq6w0kEVHhWDMEzfQhdplVwaqsdhpI6u1sx+Sk7Rt5facSrVCruuOMORo0axZ49e4iOjpaqKAqCQIcOHbjvvvvo2LEj69ev55NPPkEURSoqKrBYLLRr14777ruPWbNmoVar2b9/P1u3bmXbtm3Sduzt7XF2dmbMmDGIokh6ejo5OTlSuKZGo2HatGkkJCSg0+mkZD8nJydZqE3tQjS+vr43dBVnvV7Ptm3bZG0ajYbx48czdOhQPD09SU5OZtu2bRw6dEjWb8OGDYqxrXDVuSxje+3atQiCwIIFC/D29mbt2rWNWu96GtvHjh3jo48+IjY2FqPRSKdOnbj33nu59dZbG7X+gQMHmDdvXp3Lf/nlF/r06dNMo1VQUFC48TGZ5DHRTk5O9Zbs1ul0Mq+sO93pkvEOZrFuQ7s2cb/bMexeDUmHLVw6Yam3r4NrpUd72DzrxE0vLy+mTZvG1KlTqaiooKKiAgcHB5kYgMlkwsvLi4yMDLRaLTqdjq5du3LgwAGOHz/OkCFDGDNmDJGRkTz++OM8//zzkq620Wjk0qVL+Pn50a5dO0JCQnj++efx9/fHwcEBlUpFUlISH3/8sZRwWVtlpKbSh5+fH0uXLr1myYnXg+joaFlBHYDHHnuMzp07S587duzIgw8+iL+/P3/88YfUnpiYyKVLlwgKCrpm41W4+bgsY7vqzbFqeqr2m2RL48CBAzzwwANotVpuueUWXFxc2LJlC0899RSpqaksXLiw0dsKDw8nPDzcqr1NmzbNOWQFBQWFG57ahl9+fn5lWEgtqboqMjIyEAQBQRBQiXYM5Us0Ym3j0QK+ieCeBgZnzJe6ojY7y3pELTex6Gd7dE4Cu742EveXCVONKJJ2vVWMmK8l/A4tOqf6JeIEQUCn06HT6WTthw4dYvny5VLCpEqlwt/fXzKA9Xo9W7duZc+ePTz44IP06tWLwYMHs3fvXtLT00lLSyM9PV2SVhQEgbfeeosnnniCLl26ANChQwf++c9/8scff7Bjxw5J57sKBwcHHBwcGDp0KLfccssNHT4CEBMTI/s8YMAAmaFdk4kTJ7Jr1y5ZQmtMTIxibCtcVS7L2K6tmd2SNbRNJhMvvvgigiCwcuVKunfvDsCiRYuYPXs2H330ERMnTqRDhw6N2l54eDhLliy5iiNWUFBQuDmoiluuWY1xy5YtzJ4922b/LVu2AJXhEa55Y3CirbyD71novxpcaqiWtM2n7NgA2hc9jEC1p3fzB0ae3uhI12EazEaR0gIRsxGc3AXsHJumwRwTE8PXX39t5WW15VU2GAx89tlnLF68GLPZzKFDhyQPdc3+VZrcxcXFDBw4kIceeggnJyc8PDyYNWsWycnJ5ObmUlpaitlsxtXVlaVLlzJw4ECrF4Eblby8PNnnfv361dm3Squ9ZrGf/Pz8qzY2BQW4BgmS14v9+/dz8eJFZsyYIRnaAM7Ozjz66KM8/vjj/Pbbb7KqXQoKCgoKVx+dTsegQYPYsWOH1LZjxw5cXV0ZN26cpNJhMBjY8Odm9q67hHvpUNSWEjqoHoGaUSDul2D4V6CWJyOq7cx4D4tDSN0AcdVhg+eizaTGmwkMU6PWCrj6NE+Rk/z8fL777jtEUZSFxAiCgKOjIwEBAaSlpcnWsVgsvPHGG6SkpMhCQTw8PCTVkqp+sbGxZGRkkJiYyKJFi0hJSWH79u3k5+cTEBAg9Z0yZQrDhg1rln1qLdQuEW9LZrEmtXXdayeyKig0N5edIHklXI+Y7YMHDwLYvOkMHTpU1qcxJCUl8f3331NeXk5AQABDhgypc8pTQUFBQaF+IiMjreT/1q1bx9atWwkNDaU815HTGz0wnR0IhlG0q2tDYVtkhnZAQADDhg1j48aNlWXmO0XB6ZFQXl0T4sAqEzPC6o4RvxJ27twpebSdnJwoLi7Gz8+P9u3bExgYyIsvvkhubi5r167lyJEjQKWe9pEjRygtLZXphlcVgElPT5faqhIm09PTOXr0KGFhYVbVED08PBg9enSz7ldroKakIsDJkyfrVMwRRZGEhASr9RUUriaXnSBpC0EQrKSQarZfD2O7qnJW+/btrZa5ubnh4eFhVVChPtavX8/69eulz/b29ixZsoQHH3ywwXVt/TYKLY+q46Qcr9aFctxaJ23atGH69On8/PPPQPXxKykuIWalMxyfjCA2ZBCLjOg9m75z81CpBNzd3fH09GTFihXV1RpVJgg8hpBY7XjJTrI06/liMpnYs2ePtE0/Pz/MZrMUY52Tk8OKFSuYO3cuCxYs4KOPPiI+Pl4KATGZTJKx7ebmxj//+U8GDBjAhx9+yO7du0lJSZGFpuTl5VFcXIyLi4vU5uTkxOLFi3F0dLzq10JLu+a6d+8uxbgDREVFMW7cOCtVFoCjR4+SmppqtX5L2ZerTUs7djcCtV96bXFFCZJVWCwWXnvtNeLi4pg3bx4DBgzAy8uL3NxcDh06xA8//ECfPn144YUXLm/kzUBJSaW+U82bUU2cnZ1lxQHqwtPTk2eeeYbIyEgCAgIoKiriwIEDvP3227z11ls4OzvXGWdYRWFhoXJityJqJs4otB6U49b6CA8Pp6ioiI0bN0pt6vjb0Jwb18gtCOz+1JGz8WkMeTSHw4cPc/DgQatzwcvXQkkNWe/SwgoKCsppLpKSkmRxwzqdjr59+8rGsWPHDo4ePUp4eDgeHh6cOnWK+Ph4KYShoqICX19fpk+fTo8ePSgvL+f+++/Hy8uL7du3ExcXJ1NxuXjxopQE2K5dO+6++26cnJwkGcFrQUu55nr37s369eul52xFRQWvvfYaM2bMoFu3bgiCQEVFBQcOHGD9+vWykB1vb28CAgKu6e/WEmgpx+5GwNZLXW2alCC5bNkyjh07xrp16/D19ZXag4ODGThwILfffjvTpk1j06ZNLFiw4HK+qsXQuXNnWVazg4MDt912G6GhocyYMYOPPvqIO++8Uya1VBs3N7drMVSFJiKKIoWFhbi5uTXqTVWhZaAct9aLKIqMGzeOHj16sHnzZk5udEGow9B29jVjMQro863vtem7OrG6OBZCogF5TK5Go6Gdezg1AwdcPO1wd69VhbIJCIIg+053d3ceeugh3nnnHVk8sF6vl0JnLl26hMVikc5ZQRDo2bMn8+bNkxX3eeCBB7j99tt5//33+fPPPzEYDFJhn8GDBzN69GhCQkKu6bnf0q45d3d3IiIipPAcgOLiYpYvX46rqyuenp6kp6dL1axrHqspU6Y0yli6UWhpx+5moUkJkqtXr2bSpEkyQ7smfn5+TJo0iVWrVl1zY9vZuVLySZpKrEVJSUmdXu/G0KVLF3r37k1MTAzJycl07Nixzr7KCd26qJIYU2hdKMet9dKtWze6dOrGs58WU7vmzMBZZqY84UKbLmoKMy08060EROvjLJyYBB1jQF3t/dVoNMyb/TA/zJIb1m17qpr1XFGp5NszmUyEhISwYMECvv76aytdcVEUrZLy3NzcePrpp23KyXp4eLBo0SIyMjIk760gCMydO1d61l0PWtI1d88995CWlkZmZqasvbi4WLIDao91wIABjBw5ssXsw7WkJR27m4G63bGNICMjwyqrtzY6na5R4RrNTZWkn6247MLCQvLz823Gc18OVW/DNauaKSgoKChcPkf/NFGSI3/4z/vIngc/d6dNl8rYbTc/FT3H1+EjqnCClOqkuA4dOvDkk09x8ufOGKsVBlFpYPDs+tUqLpfayfKlpaWcPn2afv368cQTT1g9a3Jzc2WhhXZ2dowZM6ZObeiqPiA3kmqrcNzMODk58cQTT9C2bduGO1NZvn7+/PmKwalwTWiSsd2mTRu2bt0qTc3UpqysjL///vu6FH4ZOHAgUJkoUZu9e/cC2CxS01hMJhMJCQkIgoC/v/8Vb0dBQUHhZsZisRAXF8fad+SyeMERAkPvtjaKIx+o28GjS41kxIgRvPDCC8yZ9AwbX/Aj+ke5V7nvFA1ubZr06LMiMDBQKvZWxW+//UZFRYVUAfL5559n+PDhtG3bltzcXFxcXHB0dMTb25sOHTpQVlYm0x2vTW0FDZVKdcMXq7lc3N3dee6555g7d67NIjWCINCjRw+WLFnCfffdJ6v6qaBwNWnSmXbHHXfw7rvvctddd/Hoo4/Sv39/PDw8yM/P5/Dhw3zyySekpqZeFy3rwYMH07ZtW9avX8+8efPo1q0bUBk+8umnn6LRaJg+fbrUPy8vj/z8fDw8PGReiqNHj9KnTx+rKcI333yT1NRUhg8fLouvU1BQUFBomIqKCv7++2+2bNlCWVkZwrn/ky1P0azi558dmDx5skyarfsYNZ2HqDm7z1ob2ZAaQMp301j2tkhOkt5quUYHtzxV/2zslSAIApGRkfzyyy9SW3JyMv/5z3+YPHkyvXr1ws/Pj+DgYE6dOkXXrl3p0KEDBw8eRBRFAgICpN/jtttus9q+0Whk8+bNsrauXbu2SGNRFEWKi4spLS1Fq9Xi7u5+Tcep0WgYMWIEw4cPJyUlhfT0dCoqKnBwcKBjx454eXlds7EoKFQhiE2QybBYLLz44ov89ttvkjGqUqmkqS1RFJkxYwavvfbadZmq2b9/Pw8++CBarZYpU6bg7OzMli1buHTpEo899hiPPPKI1Pejjz7i448/ZvHixbJKkVWapX379sXPz4/i4mIOHTrEhQsXCAgIYMWKFS26kqZC4xFFkYKCAtzd3ZWpxVaEctxaH0VFRXz00UckJydTUVGBnVaHsPpteafxb4N7Bu7u7ixZskTmqSzOsfDWJD2Z5xr/+BJU8NC39vS7rXlDSKooLy/nlVdesapmWB8JCQno9Xr69esnxX2PHz+e8ePHS7HYycnJ/PLLLyQmJsrWfeSRR+jTp09z7kKjsXXNlZaWsm/fPnbv3k1WVpbU187OjoEDBzJy5Mgmh24qNB3lfnl9aJKxXcXBgwdZu3Ytp0+fpqSkBGdnZ0JDQ5k2bVqTQjWag2PHjvHhhx8SGxuL0WikU6dO3HvvvVbeg7qM7WXLlrFnzx6SkpLIz8+vzGxv145Ro0Zx//33K0ojNxDKTah1ohy31kV5eTlvv/02KSkpiKJYaWzb2SGseQMsNQzhkZ+D3zmgUsL1ueeew9vbW1pclG3hval60k42/Aizd4EHv3Sg54Sr62G9dOkS77zzDnq9tVfdFhaLBYPBICtoA5UlxQMDAykrKyM7O9tqPT8/P15++eV6VbBqU1ZWxoULFygtLUWtVuPt7U3btm2v6Jqpfc3FxMTwww8/NJi/FB4ezrx58xqs8Khw9VDul9eHZjG2FRRuBJSbUOtEOW6tizVr1rBlyxYAmbGt3foipvwaEmzB0TBgjfSxW7duPPbYYwAUFBTw1VdfcfCzADzybqUuPAIERszXMuxeLa4+zRunXRdpaWl89tlnMu+uLQIDA3n00Uc5dOgQv//+e6O3b29vzzPPPINKpeLIkSPk5+djsVhwdXWlR48eVjKAqampbN++nQMHDsgK40Bl3tXIkSMZOnQoOp2u0WOoec3t27eP77//vtHrdunShX/84x8tMgTmZkC5X14fmmRsd+vWjcmTJ/POO+8055gUFK4Lyk2odSKKIrnZBSTtdWbvCiMX4yyUFYlo7cG7vYrwOzQMvVuLs9e1MbYU6sZgMPDss89KiYCiKOLs7MyiRYuI/zWIDW9WFxsR1CbECW+Cc3VYxssvv0xGRgZLliyhJEvDgOxVqKmW9cvR7SBPF41FMFChyeTW+T157vlnLssD3ByYTCZiY2PZuXMnZ8+erd4nQSA0NJRRo0bRs2dPVCoVoiiyefNmfv/99waLn7m6ujJx4kTi4uI4ffq0zT6BgYGMHz+e8PBwtm3bxpo1axrcro+PD0uWLLFK8qyLqntlfn4+b7311mWroowYMYK5c+de1joKzYPynLs+NMnYHjhwILNmzeKpp55qzjEpKFwXlJtQ6yTqhwp+/3c5xdl1HzONDobO1XLHv3XYOSrH9nqxb98+li9fLn0WRZGlS5cSFhZGQbrIC71KsdTIexSc8xAjVoDXRQA6derEr7/+Cvlt6VbwbxzM7aq3hYWDPtMwqKulZgVB4K677uLFF1+8btd0WVkZRUVFCIKAq6sr9va2i+kkJyezbds2Dh8+bKXL7eHhwYgRI7BYLLJKifXh4uIifW9jsBWqUxdV98qVK1dy/Phx2bJevXoxbtw4QkJCKCwsZN++fWzZskWmWqZSqXj99ddvqmIyLQXlOXd9aJKx/cADDyAIAl999VVzjklB4bqg3IRaF6IosuYlA39/bGy48//o0F/F0lWOOHkox/d6sHz5cvbt2yd9Dg0N5b777pOuuW8fKWP/zybrFb2SsHifJvliMp6mCNyMva26FLrt4rjTs1ZeVpVKxbvvvsuECROafX+uBiUlJZw9e5aSkhIptrpTp07s27ePH374oVHbKCwsJC4ujoCAADp16iS1C4KAn58fer2eoqIiq/Xat2/P888/3+D9TxRFzp8/z5tvvilrHzNmDDNnzrRaPyUlhddff112bKZMmcKtt9YdAqRwdVCec9eHJs2tLVmyhP3797N27drmGo+CgoJCo9j8fsVlGdoASYctfDq3DFOFkqpyPSgtLZV9rmkIAsx+w56AbjYeS7kdUJ2eQMeyh2wa2m06C3wdewvr169n/PjxsrARi8XCt99+2yhvcEvA2dmZvn37Mnz4cIYMGUKXLl0oLi7m559/turr4uLCkCFDGDFiBD4+PlL7pUuXgMr48cLCQgDGjh3LG2+8wSuvvMKbb77J448/bqVFnZyczJkzZxo1zri4ONlvam9vz9SpU20acG3btmXo0KGytkOHDjXqexQUbgSalKEQFRVFREQEL7zwAj/88AO9evWyOQUlCAKLFi1qylcpKCgoSGQmWlj3WoVVe0iEmqH3aAnsrqI4S+TQb0YOrTHJQhPORZvZ+ZWRsY82v96yQv3UVqGoMgSrcHATeGytAx/PKuNiXOPigIN6qFjyqwNO7gId3Tvy/vvv8/zzz7Nu3TqpT0JCAqdOnZLqLbQ2oqKirJIbp0yZwqRJk6REQ7PZzIYNG/juu+9IT09HpVKh0WhITU1l7ty5Mi9yVez4U089xSuvvEJ+fr60bOfOnXTt2rXBMdVcB6BHjx71Jln279+fPXv21Lm+gsKNTJOM7Y8//lj6PyEhwarCVRWKsa2goNCc7PqmQh7bK4jc/YE9w+6RG9A9J2iY+JiZD24voyC92gu386sKRi/UolIp06jXktoJeIcPH2bcuHGyNjc/FU9vdOTvTyvY8EEe5hJnm9tSO+uZtNidcYvssHeuPo6CILB06VKpWA5UFoXZvn17qzS2RVFk9+7dsraBAwdKxnNJSQlRUVHs3r2b3Nxc0tLSJK1vjUaDwWCgV69eVtsFcHBwYPz48bJiPMePH0cUxUaFktSkqpx8XdRerpSaV7iZaJKxfTlyPwoKCgrNQYVeJHql3Ms36G7RZmlvgIBuau79xJ4PZlSXws6+IHJyh5mwMYr8WGOwmEXit5qJ326iOFtEBFy8BbqP0tBzvBqVunEvLREREWzYsEH6XFpayu+//86CBQtkxp2do4DTgGjME3+BtDAqLnYk+1I5Wo0Ws7aQAt0BPvztYfr0ta2eERAQQLt27WSKHbb0qq83BoOBQ4cOce7cOfR6PVqtljZt2hAREYGvry9QWd24oKBAtl7VC8rJkydZtmyZTNe7ZrVNk8lEaWkpL7/8Mq+++ipt27a1GkOPHj0kY7u8vJyLFy/y+eefI4oiDg4OBAcHEx4ebqUFXlV0p4pTp05hsVhkITxFRUXs37+flJQUYmJiOHXqFM7Ozvj6+irJkQo3FU160lzvgjUKCgo3HxeOmNHLow8Ydn/9XrJukWoCu6tITajud2KrSTG2G8BYLrJ9mZFdX1WQm2Id87zzSyOeQQIjH9Ay+mE77BzqN7r9/Pzo1q0bJ0+elNqio6PJzMxk9OjRtGvXjuzsbKKioipnSlVA0HEMbvs4mLlVKrUtCAIW8f46v0cURauwi2st/1cfZWVlrF+/nqioKJuFYNavX09YWBjTpk2z6WFu164dJ0+e5KOPPsJslpetV6vVaDQamaJJfn4+b7/9Nk899ZSVwV1lkCclJZGXl4coihw+fBi1Wg1UVmJes2YNgwcP5rbbbsPJyQmolP7dvn27tJ28vDyio6MZOnQoubm5rF27liNHjmA2mzEajcTExGA0GsnKyiIpKYnBgweTn5+vGN0KNwXKk0ZBQaFVUZQpN/p8ggW8GqgCLQgC3UerZcZ2cVbrSJi7XhTnWPjkrjIuxNT/IpN3SWTtKxUc/dPEop8dGiweM23aNM6ePSszBi9dulSv0oZOp8Pb21sKXRBFkT///JN+/frZ7J+YmCglCVbRpk2besd1rSgoKOCDDz4gLS2t3n7x8fGcPn2a6dOnWy1LTU3liy++sDK0odKzXTPEo6KiArPZTHl5OZ9++imvvPKKLKRj3bp1xMbGStvSaDRWLyYGg4GdO3eSkJDAY489hqenJ23btqV9+/ZcvHhR6vfjjz9y/vx5YmJiKC8vRxRFioqKOHfunOzlx2KxUFZWxuuvv87SpUttetwVFG4kmu1V32w2k5OTQ1pams0/BQUFheagtqhEYx2WQq34bItia9dJebHIBzMaNrRrknTEwvvTyigrrP+H7dChA/Pnz78sT/OMGTMYNGiQrO3PP/+0WdjFbDbz3//+l4qK6gRae3v7FiH9V15ezocfftjoZ6LJZGL16tVWKi5fffWVFI9eRffu3Xnuued4/PHH8fPzw9PTU0pIzc3NRRRF8vLyZCogcXFxVka7t7d3nfHaWVlZvP/++5SWliIIglW8fXFxMW+99Rbbtm3j6NGjHDx4kLi4OKvxu7u74+zsTFFRER988AG5ubmN+j0UFForTfZsnzhxgvfee49Dhw5ZTdtVIQhCncmTCgoKLZf09HSOHz8uqUZ4eHjQu3dvmczYtcbFR24IZCWKFKaDu3v9653eI9dvdvFSkiPr4tcXDKQctza02/ZSETpSTV5uLuf2CRQmuciWpyZYeG+6njtf0xEySF2n0TZgwACcnJxYvnw5GRkZNvtAZQLf7bffzvDhw3FycuLAgQNSYl1paSnz5s1j7ty5zJs3D1dXV3bs2MHnn3/OiRMnZNvp168f7ds3MP1xDdi8eTOpqamyNkEQCAsLo2PHjhQUFHD48GFZDLYoihQWFuLo6FgZPmOx8Oeff9K1a1dcXCp//x49erB48WIKCwv5+uuv8fHxITMzEy8vL4qKisjPzychIYG2bduyfft2+vXrx8GDB/nnP/8pKzYD0LFjR4YMGYKXlxfJycmcOHFClsyYlZXFhg0bGD9+PAMGDODMmTOSykhiYqJkBxQXFwOV4Tve3t44OjpSWlpKSUmJTO2kuLiYVatWsXDhwmb8pRUUWhZNKmpz8uRJZs+ejVqtJiIigh07dhAaGoq3tzcJCQnk5eURHh5OYGAg//nPf5pz3AoKzY4i9l9NfHw8mzZtqlNzNywsjEmTJtG5c+drPLJKr+sz3UswlFS3jXzIwl1vuNZ53BIPmHlzol7W9shKe/pMtp1UeTNTmGHhuZ6lWGq8m3gGCdzzsZZLht3s2rWTnJwcKPKBY5MhrQdg/bv7d1Ux4n4tw+7W1lm102w2ExUVRWxsLElJSZSVlaHT6QgICGDo0KEMHDhQkpMzmUzMmjWrTseNSqWyqXBhZ2fHl19+ed1zjEwmE88995xkhAL4+vryyCOPEBAQILUZDAZ++uknoqOjpbbi4mKMRiOenp4UFRURGxsrFajx8vJi0aJF5OXlsXv3bsrLyyktLeXo0aNYLBb8/PzIzMyUtiUIAuHh4ZSXlxMXFycbY58+ffj2229lVS6zsrL47LPPZN54nU7HCy+8gJ+fH6Io8uuvv7Jx40Yr7Wx3d3dCQ0OlsBU/Pz/mzZvH77//blXG/j//+Y8Sv30NUJ5z14cmebY//fRTAFatWkVISAihoaGMHTuWxYsXU15ezhtvvMHmzZt5/fXXm2WwCgoKVxdRFFm/fj3r16+vt198fDwJCQnMnDmTMWPGXKPRVWLvIhAxU8vub6tn0vZ8LdBthIm+t1gbz7kXLXz7iHzK3SNAoOd4JWXFFnu+N8oMbY0dLPxJ4Ne/PuTcuXOVjefD4fDtIKrr3E76aQu/PGtg19dGlvzqgHd767ARlUpFr169GDFiRIMPfo1Gw4cffsjcuXNlxmMVtgxttVrNP/7xj+tuaAPExsbKDG2ABQsWyAxtqDRk582bR1JSEunp6UBl8ZqqUIyq8BhRFMnIyCA/P9+q4I2TkxPt2rXjzJkzlJaWVr4cUfkbOjg4YDAYpG1X4e3tzeeff25VTt7X15eHH36Yl19+WYoFLy8v5+jRo0ycOBGVSsXs2bPJzs7m/PnzUpKlRqOhe/fuaDQafH19GTlyJMOHD0en07Fw4UJeeOEFyasuiiJRUVFKRUmFG5YmxWwfPnyY0aNHExISYrXM3t6el156CV9fX957772mfI2CgsI1YtOmTQ0a2lVUebRqFqq4VkQ+IDeqLWaBz+8u55O79MRtNJGTbOH8ITO/PF/Oy4NLyb4gn8Abcb8WtUbx6tji4Gp5uE34nWp+2fhJtaF9bgjE3FmvoV2TjDMW3pyoJy/l8nWVTRUimecsJB01k3bKjJdbACtWrLCqPGkLe3t7XnjhBe6/v27VkmtJUlKS7HNISAjt2rWz2VelUhEZGSlr8/PzIzQ0tMHvKS8v58SJE2RmZtK9e3fKysowmUyYTCbKy8vJz8/n2LFjshcWNzc3nnzySdzc3Gxus02bNlYa5TUTI6HScx8WFkZ4eDjdunVjxowZLFiwgGeffZZXX32VsWPHSrMUzs7ODBgwQLZ+7d9HQeFGokmuneLiYlkWsUajkSVCqFQqwsPDZbqqCgoKLZPU1FRZ1b0qXFxcCA0NxWKxcPLkSVk8KcDPP/9MWFgYnp6e12qoBIapmfAPOzZ/IK8ieWyTmWObyupYq5K2vVSMfUSpHmkLURTJvVjLKG4bS2JiYuX/OR3g6DSr9SyYUVG38V2YIfLxHD3/3OHUqJectJNmdn1jZP8vRsprOINVGuhzixf/fXI1p/P/4qeffiQ+Pl7m1fb09OSWW25h/vz5+Pv7N/hd14raCY11Gdp1LTcYDCxZsgSVSiVpWle1l5SU4OzsTElJCSdOnMDFxYU+ffqg1WpRq9UUFhZSVlYmJUKaTCZycnJo06YNYWFhuLu706VLlwbHUzOEp/b+VH3W6XT4+Pgwfvx4q6TW2tvbu3dvndtTULiRaJKx7eXlJSu36+PjQ3JysqyPwWBQLiIFhVbAjh07ZJJhgiAwY8YMRo8eLZWErqio4K+//mLjxo1SP5PJxO7du5k2bdo1He+0l+woyRXZu8J2YrYt/LuqWPKLQ50xxDc7ogVM8nw54k5HSU8KMWEMgiifEE1zWEOm3Wb6Fi6TtRdyFjeqY/pTT4jE/KEnYoZTnd9foRf54R/lVt71KiwmOLLOxJF10HHAOD7/9jYs9nlcuHABg8GAn58fISEhV1VTWxRFMjMzyc7OxmQy4ezsTLt27eotVQ7WFRQbKrJTe7lOp0Oj0bB48WLOnz/PmTNnyMnJwWAwkJaWxoABA0hPT6d3795SARqLxUJqairOzs44OTlhNptxcHCgR48exMfHU1FRgdFoRBAEKdSkLmovr72/l7t/tbfXUAVKBYXWTJOM7ZCQEC5cuCB97tevH1u3biU2NpY+ffqQmJjIpk2bCA4ObvJAFRQUrh7l5eUcOHBA1jZ27FjGjx8va7Ozs2Pq1Knk5+fLEriq4i2rCmFcC1QqgXs+1OHXSWDD2wYMJXUb0IIA/aZqmPuePU7uiqFdFyq1gL0LMm9yaaortAdKvBAy5KEEKU7fc8HlY7zLxsraTZSznRmMFzbiJFbPfv7yegrh07vajM8uLxF5f4aeC4caF25yIcbCC31K8QqyxzckjAHTtbTvp0GlujrH12QyceDAAXbt2mXlVNLpdAwaNIhRo0bV6U2vHZtdJSJQ14xQVFSUzfXVajVjx46lvLxc5v3OyMjAyckJe3t7KQkuLS0Nd3d32rZtS0VFBZmZmQQEBODi4oKLiwu5ubmcP38eb29voqKiGD58uM1jU1xcbJVMWVu3PCAgQJb0uH//fqZMmSK9qNfEaDRa3W9q/z4KCjcSTXr9j4yMJCYmhqysLKAy2UMURe666y4GDRrErbfeSlFRkSLpo6DQwrl48aJMlxgqje26qK1ZXFxcbDNp7WojCALjl9rxwj4zc97R0a6PCqHGXc0joHL5v4848dC3Doqh3Qja9qz1wnShMrmw4kxPWbNRKCTZ+Uu0Wi3tzHfIlpVoTqF1NHJS+EDWXpoYyKHdZ6mNKIp89WBZnYa2pg6np2iGnGSRhO1mvl9SzrPdS/j93waMhuYVUc/NzeW1117j+++/tzK0oXIGd9euXbz66qts3boVWyJfAwYMkHlvLRYL3377rc0Kklu3brVSAho6dKj0/8iRI2Xl000mE0ePHiU2Npbo6Giio6O5ePEiXbt2JTg4GB8fHwIDAxkzZgwLFiwAKmPAoXK2Kicnh+TkZDZs2GA1doPBwLfffiuT9lWr1VYFhWqOD5ASN2snrprNZlauXElRUVG96yso3Eg0ybM9e/ZsJk2ahKurKwChoaF89913fP7556SkpBAWFsY999xjleihoKDQsqjKtTCbzZjNZnx9fetMlgLw9/fH3t5eZijULlxxLdE5w4j5Wkbeb4fFIlJRClp7UGsV4/pyGXaPlrP7alQmzOoMyX0x5LhT0+bNcdhO++AAAi23oEqRG16ZjutwdXSlzGU/lkwDKqpDDnb+mUD4SHl8cPxWM8c3y6sh6pxg9MN2DLtXy6mdJlY8bkBswOmtL4S/3q0g8YCZR1c64ODW9ONfUFDA22+/TV5eXoN9LRYLq1atwmQyMXHiRNkyBwcHIiIiZAnFZ86c4Z///CdDhw4lODiYgoIC9u3bZ2XQOzk50b9/f+mzq6srDz/8sFSuPScnRxaPLQgCXbt2lXmV7e3tWbRoEW3btuXUqVOIoohOp8NgMJCRkYGvry9//vknR48eZciQIXh7e5OUlERUVJSVYdy/f3/puV9F+/bt6dChgyzRcc+ePZw6dYphw4bh7+9PWloae/bssSpi07lzZwIDAxv8fRUUWitNMra1Wi3e3t6ytn79+rFs2bI61lBQUGhp6PV6YmJiiImJkZIfq0o2Dxs2jGHDhlkZ3gaDwcojV1Wt7nqjUlWGQihcGf2naVj1okBJbrWHUzxwF1q1fObCwdWCe84iODdMvgE7PWLbWMgFO3sBi30BqnI/afH505coKyuTeWZ3fSOPu3d0h6f/ciQgVE3MWiM//KNWIHkDnNlr5rN5ZSxd5YDG7soNblEU+frrr20a2vb29jg5Odmsfrh27VpCQkKsdOinTJlCXFyczHgtKSlh8+bN9Y7jzjvvtLq+unXrxpIlS1i2bJnVi66Hh4dMws/Dw0MytAGGDRvG2bNnCQkJISEhQbZ+cnIyhw8fpri4GLPZjFqtxsnJCR8fHzQaDY6OjkydOrXOcb7zzjuyipTZ2dmsXbu2zn3TaDTccccddS5XULgRUIRmFRRuYvbu3csvv/xCQUGBTGXEZDJx5swZ8vLy2LBhA7feeisTJ06U4jlrx1sKgmD14q3QOtHaC9z2vB0/PlVt4AqosDfLY5HdM24HW8UfwzYT2MaXrNxUHHWuqCvkhUpEVTk5OTmS4VeQBie2yL3a017UERCqpiSvMmGyNq6+AkVZ9YeKnN5tZscyI+MWX3niXVJSklU4h6+vLzNnzqRHjx6oVCry8/PZvHkzO3bskPXbsmULnTp1orCwkOLiYtRqNR4eHsy7/R989enPlJeVga4UHPNt1QSSmDZtWp2qHt26deP//u//ePnll8nNzZVegKsMbX9/fyIjIxk8eLAsodHX1xeo1Nbu1KkT58+fx2QycfHiRTIyMjCZrBNUExMTCQoK4o033sDb25uCggKrPiEhITzwwAN8/fXXMoO7LjQaDQ899BAdOnRosK+CQmtGMbYVFG5StmzZwpo1a4DKKW5XV1eZx+38+fO4urpiZ2fH77//TmFhIbNmzSI3N5c//vhDtq2ePXvi7Ox8TcevcPUYcb+W9DMWdixrvNILACH7oNNeXAQXVCoVbYVbECy1jF2XbFn878VYgZphwnaOEDGr0ou7d4Vc+g9g/BIt017S8eYEPUlHquNKBt6h5tQuC8XZ1RvbsayCMY9oUamvzLu9c+dO+dBdXHj22Wdl57qHhwezZ8/GyclJ0qg3mUxs2rSJpKSkymuqwh6SBkDiECj2BR6usdGsyt+tQwzYlcu2e/vttzNw4MB6x+jk5ER4eDiFhYXo9XoqKipo3749Tz75JH5+fjYTHlNSUqT/AwICcHR05PTp0za99DX33cfHhx9//BEvLy+pVHxtqkJMfvzxR1nVydoEBQUxZ84cm3U6FBRuNC7L2H7++eev6EsEQVCqSCooXENK8kQyz1ooKxbROYJvsAq3NtWZg8ePH5cM7Sr8/f1lxnZ5eTkxMTEEBATg6enJ77//LpMbq8nIkSOv7g4pXFMEQWDWGzqcvQT+fKMcxIZy6UXo/jeEbQGhMvZfiwtul2bKu/meBacCnJyq5f/0+fIugWEq7J0FLBaR3d/Kk3Z7TVQz4xUdgiAQPFAtM7bt7FXc/4UdH8yolprNTRE5vsVM70lX5lc6duyY7PPYsWPrfKkcP348W7duJS0tjdOnT0svFAEVU+DIDDDZ21yPYl+InYYQPwnXUdvoMDKXIUOG0KtXr0ZLGHbo0AFBEHBycsLJyYmioiIpdrs2oijKXiKMRiNFRUV0796d/Px8MjMzKS0txWKxoNFocHFxwd/fX9rvoqIi3n//fR555BHc3d1tjqdz58689NJLnD17lqioKFJSUjAYDOh0Otq1a8fw4cMJCQlRyoXXIuW4mfitJopyRBDBxVug2ygNHfpeO5UnhavDZd2B6oq7EgTBZvZ1VbtibCsoXH1EUeTUbjO7vjYSt9GEpdYsbrdRaiIf0NJjvNpm8Zpx48bRvn17ioqKKC8vJyMjg4yMDC5evChVizt58iTh4eEyIyA0NJSwsLCrum8K1x5BEJjyjI62Q/L48B+H4MIANKK1N7NEc4aizt8T0ON/XlkR8s+406/gKwS9j7xzp324urri41Pdrq4V6l/lyU4/aSEnSf5cmfiYTjLQyorly9Qa6Bappl1vFRfjqo3wY5tMV2Rsm0wmqwJOPXr0qLO/TqfDycmJ+Ph46XlonzwBUuY06vtEo47CLZPpPFxHnz6XF/rSp08fqahNFcuWLWPRokWS6ghUGtY///yzzOOclJSEp6cngiDg6ekpSRGGhoYSFBREVlYWJ06ckKmKlJSUsGbNGp599tk6xyQIAl26dGmwWM7NjsUiErPGxPYvK2yq8fz+7wra91UxaoEdEXdqrniWRuH6cll3oG3btsk+WywWXnvtNeLi4pg3bx4DBgzAy8uL3NxcDh06xA8//ECfPn144YUXmnXQCgoKcopzLCy7r5wze+uOkzy5w8zJHWZ8OpnI7lIKNRx0U6dOZfLkyRQUFPDOO++QlZWFq6sr7u7unDp1SupXUVFBbm6uZCwFBQXx8MMPKx6qG5jew/xZ8nU7HllwF46Zowgpfhyhhmqss6kLjif/RXnaKXSuRsS8ALxL21hvyC0NAuIZPnyS7GXNrVbX9FMWMhMtFGTIjWlHdwgOr1zPVCFy4m/5ue4eICAIAj0naLgYV+0RL0i//DLxdWHLqVRFVlYWUVFRUh/v8lF4Ztxru7PwvzHZmDFY/f8MeLUT6Hdb4xOOtVotw4cP56+//pLaMjMz+de//kXPnj0JDg4mPz+fmJgYWTKkyWSiqKiITp06SW0BAQEsWLBApnudn5/P119/LdPRPnXqFJmZmVZ62wqNx1Aq8vWCcuL+sl3EqYrkoxa+e7Scg6vVPPStAw6uyv22tXFZOtuBgYGyv7/++otjx46xbt06HnnkEQYOHEhwcDADBw7k0Ucf5ffffyc2NpZNmzZdrfErKNz0FGZaeHOCvl5DuybZ5zSwbQkUVRrMXl5ekkyZu7s7zzzzjOTBsyUBWKWr379/f55++mkcHR2ba1cUWih9+vRhyeMPk+e1jvMu71stV6HFvrAnQko/VDYMbYtdIQz9Do2diuHDh8uW+fUoxc5Zbmx89o9TZKRlydrsHATppW7vCqMsNhug7xTN//rV+u7GXRZWaDQaq5CR2NjYOvtv2LCBrKwsSkpKKMgrokPBY1Z9gsILcJy8HO54pvIv8jMIiLfq9+vzBsymy9MKnzhxolVhGFEUOXbsGL///ju7du2yUi3Jzs6WhXOoVCoeffRRq+14eHjw6KOPWl3ru3fvvqwxKlRjqhD5dG5Zg4Z2TRK2m/nozjIqyppXR17h6tOkojarV69m0qRJUmZzbfz8/Jg0aRKrVq1qytcoKCjUgdko8umcMrLO2wrjArc2Aipb81cGF9jzIBh1DBgwQOZpdHFxYcmSJbz00kuMGDGCjh07IgiVho69vT2BgYG8+uqrPPTQQzJ5MYUbm5kzZ3LbbbfhHn6ctDYfI9I4K9agTUUY/Sk453HXXXfh4VGpTqLX6/nxxx957Y2XMQTska2Tvrctv74nN0IL0kWyk83ErDWy6p/ynIHOQ9QEdKuMa008IB+Xk8eVewH79u0r+7x9+3by8/Ot+p0/f5633nqLzMxMSkpK8KoYjiNy9ZbASXEs+smJf31yN84uzpUKJL6JMOxb2k6Wx4bnp4kc39x4IwwqFUiWLl1aZwXL2mg0Gnr16iWLu+7du7csxKcmjo6ODBkyRNaWmJh4WWNUqOb3fxs4tcv6GnL3FwifqWHQLA0eAdbnbuIBM6tfvDwpTIXrT5OM7YyMDFlFLFvodDoyMmzpQykoKDSVQ2tMsiQxqJRFm/1fHe8lOfPmSWc+uOjMfZ/a49Ox1o271AvODpPpHdckMDCQuXPn8thjj0l62+Hh4XTr1k0WB6pwc6DValm6dCmdOnUiYEQSjH+XIu+tmLGW5gMoU6dwyetz1JM+QOWWx5133smwYZWa3AUFBbz55pvs2rWrMpGw0z5Q1TIuLwwC5C+R/x2r58v7yzHW+soxj1SGXOQkWzheS0aw85ArTy6rnfir1+v5z3/+w969e6WKqzt27GDWrFmkp6dL/YKpFaftkUKq8w/85z//oaSkhPHjx8sWZ3j8TLve8sfx7m8vUwmGSg/0M888w6hRo2RSf7UJDQ3l6aeftnKUdezYsd7t115eO6ZdoXGUFojs/NpaW/6BZfa8fsyJB5Y5MP9zB14/5sRD39rj7CW/d0f9YKQoq/nCoxSuPk2S/mvTpg1bt27lscces3lhl5WV8ffffysxXQoKV4md38jVGjyDBJ7d4oi7f/WD285BYPBdWvrcouGdW/WkHKtxkz4/iFMn1zJp0qQ6v+P06dOymGxF4u/mxcvLi+eee45vvvmG06dP4zp6E3kZv1Nypj2WEldUoh0moZQS7Um0gcl06dqZXr16MWnSJKnAi8Fg4MMPP5QZpzjlQd+1cLiWekktAeriHOsxDZtXeW6XF4t881CZrMqkzhkiZl55saW2bdvSs2dPjh8/LrUVFhby/fff8/3331NRUcGhQ4esKix6M0C+oZBoECqVPD744AOpZHoVRmMFEXMtXIyrbks8WPfMgcViISEhgdOnT1NSUoJarcbb25sBAwbg7e3N7NmzmTZtGgcOHCAxMZHS0lLs7Ozw8/Nj0KBB0jO5dqGchqpk1vbqN+RsU6ikrEjkQoy5slCUAOf2mzFWi+YgCLB0tSMd+8tfDFVqgf7TtPh1UvFapF4KiTIbKw3uyU/W/UKl0LJokrF9xx138O6773LXXXfx6KOP0r9/fzw8PMjPz+fw4cN88sknpKam8sQTTzTXeBUUFP5HarzZKnt95ms6maFdEwdXgbnv2vPG2BreKL0Hp3aIJM1IsllYIjc3l4MHD8raQkNDmzz2hsjPzyc2Npa8vDwsFguurq6EhYURFBR01b9bwTbl5eXExsaSkZFBUFAQbm5uZGVl4eycQ0mbTEpLz2MwGAgMDKR792F06HA3ffv2tQpL+Pvvv0lNTZW1qVQq+txRgaVHEnHLOzR6TOEz1Ux+Wsu2z41s/aSC/FS5J3zQLC32Lk1LJps/fz5vvvmmzRnahIQEq+ItKjRoqaXa4nVR+reoqMhmHlPb3iI1Xy7Ki8FiFmXqExaLhZ07d7Jt2zZycqzfPH7//Xd69OjBrbfeSvv27Rk5cmS9spz+/v6yOPSYmBjuuOMOm9VgRVFk3759sjbFkVY/l06Y2fmVkYOrjRhK6+7Xb5rGytCuSVAPNRGzNET/WD37s/9nxdhuTTTJ2H7wwQdJSkrit99+Y8mSJUDlTbNKIkgURWbMmMGDDz7Y9JEqKCjIuHBE/pB38RHoPbn+S7pjfzWBYQKp8TWMkrx2fPLJJ8yZM4c+ffpIkp1nzpxhxYoVsgIkVSXcrxbJycn89ddfxMXFyaTGAH777TdCQkIYN26cVSytwtWjoKCAv/76i+joaCt9dQAfHx8mTpxIZGSkTSOtJmaz2Sqpztvbm6eeekoy3OJvNfHH6war8ChbHFxl5uAq26EM7gECU55puufVycmJJ554gn//+9+cOnUKs9mMRqNBpVJJHu2qnAcHBwcG9B8Ae80gVhtPro6+nEo7gslkQq1Wc+7cOdq2bSvNCKtUKjDqgOqZKpUahBrvzRUVFSxbtkzmZa+NKIocP36chIQE7rvvPsLDw+vdt0GDBskUTEpKSvjpp5+4++67ZXkcoiiyYcMGqyI1gwcPrnf7NysWi8hv/zLw98eNCwXS2iHJJNdFxJ1ambGddV7EYhFRqRRlktZAk4xtlUrF66+/zrRp01i7dq00peXs7ExoaCjTpk1r8GJXUFC4MvQF8s9BPVSoNQ3feDv01ZAaX+MhUGFPUVERn3/+OR4eHgQGBpKVlSWpjtRk4MCBdRayaCrR0dF8//33VkZ2TRITE0lMTGT06NHceeediuTgVSYpKYmPP/6Y4uLiOvtkZ2ezevVqjh07xiOPPFKvOs2JEycoLCyUtc2bN0+WAxA2RkPYGA1JR0x88tQhipKdoKgNmGznFtjC2UtgyS8OuPo2KS0Jg8HAjh072LVrF0VFRdjb25Oenk5eXh6FhYUYjUacnJxwdnaWXkQdHBzAoQj01WXq848HcF5/HovFgsViITc3l6SkJLp06UJgYCA9evTg+Ca5V96tTbX6iiiKfPXVV/Ua2jUxm8188803ODg40LNnzzr7tWnThtDQUJm85969ezl//jwjR46UdLajoqI4f/68bF1vb2+6d+/eqPHcTIiiyPJF5ez/ufEJrvt/MeHqa+D2V+tOOPdqKz+XRQuYyisrriq0fJqlXHt4eLhiVCsoXGM0tWYQS/MbJwdl1U9d/VDIz8+3qbYAlepCs2bNuqwxNpbDhw/z3XffNbr/9u3b0Wg03H777VdlPAqQnp7OBx980OgkuDNnzvDpp5/y2GOPodHYfrQkJSXJPnfo0IG2bdva7Nuhn4bbXxf49ttPQBTgxAQ4NUrmMbZF+74qHvzKAd/gphnaubm5fPTRR1JsuSAIeHl54eXlhdFo5PDhw5SUlKBSqXBxcWHIkCGScWwJOIbqXHX4hjp5KL6dOnIx8yTFxcWYzWb0ej1JSUlkZmZyx5T7+OstuRe039Tq3/DAgQPExcVRm6CgIDp37oxerycuLo7y8urMUVEUWb58Oa+//nq9sdUzZszgzTffxGSqvg+kp6fz888/1/v7TJ06VXnZtcGm9ypsGtqCAH6dVYgWkcxz1vfqLR8ZadNVzdC5tmeHMs/JnRAqNWgb//6pcJ1pFmO7JXPs2DE++ugjYmNjMRqNdOrUiXvvvZdbb7210duwWCz8+OOP/PLLLyQnJ+Po6EhERASPP/64zThXBYVrgWeQ/EGXEmch+4IFn451GxllhSInd9Z6EDgWNPhdQUFBLFmyRFZmu7koLS3l+++/t2rX6XR0794drVbLqVOnrJLQtmzZQq9evWQFORSaB1EU+e6776wMbUEQ6Nq1K56enly4cEGe5AicPXuWbdu2MWHCBJvbrWkMQqXiTX1IMfqCCD03Qae93NbrNaKWG8m7VG2wqLXQZ4qGyAe0dB6ibrIRWFRUxLvvvmszLhoqEws1Go1kxBYUFGA0GqWXjLOW7+lKjVhpowNtzrzIWfNDGKlMQqwqfqMz+fPH0z6Ya00ejJxfbSBv375dtszR0ZEHHniAsLAwaV8NBgOrV6+WhekUFxcTExNjJdlXk/bt2/Pggw/y5ZdfWsWf18WsWbPqraZ5s1JWKPLXu/KkdZUGxi+2I3KBFo+Aynvz/40slSeq/48/XjMw6E4Naq31+bvvR/nLWEA31RWd5+mnLWz/WkXmqTLKikTs7MGrnYrwO7SEjVUrFSqvEk02tisqKti6dSvHjx+X3thrc73KtR84cIAHHngArVbLLbfcgouLC1u2bOGpp54iNTWVhQsXNmo7//rXv/j111/p1KkTd999N7m5uWzcuJG9e/fy888/Kw97hetC90gNDq5Q9j8bVBRh4zsG7v24bnfH1s8qZIk6KjVM/0cXDhxL5tKlS1b9fX19pSSrhuJxbXHp0iWOHTsmGcoeHh707dtXJjm2b98+KyMsMjKS6dOnSzreZrOZPXv28Msvv8jCTLZv365cf1eBCxcuWHmhQ0NDmTdvHl5eXkClsXjy5Em+/fZb2YvQjh07GDdunCzmt4raqlWZmZn1jqN2UqLOvYJbntIx+Uk7inNE9AVgZ1+Zr6C1bz4j4aeffrJpaPv7++Pj40NKSorV/mVkZDB48GD2799Ppv4C3roovAzV+Q2u5jAmsZNUtpBm3oW6XEVQzmj8TKMx13oU95ygxq9T5fYvXrxIcnKybPmcOXOsjF2dTsecOXNIT0+XVXrcvXt3vcY2VOqJP/bYY/zwww82w8eqcHNzY/bs2fTt25eCgoJ6t3kzsv8X60TIR35woNdE+fGNfEDLD/+wzn8oSBeJ+8tkVT30dJSJI+vkTpKhd1/e/TjxgJl1rxk4vcdMpepzta2WeNDCwdUmvNoJjFtkx8gHtUoseDPTJGM7NTWV+++/n4sXL9ZbxvZ6GNsmk4kXX3wRQRBYuXKlFFu2aNEiZs+ezUcffcTEiRMb9Ezv37+fX3/9lQEDBvDtt99Knoxp06Yxf/58Xn75ZVasWHG1d0dBwQo7R4Ehc7Vs+6za47FvpQlnLwO3PW8nMz7MJpHtXxjZ8Kbc69LnFg3jpw5i3G0RJCcnk5SURHl5OTqdjsDAQDp37nxF3pO4uDg2bdpkFecJlYmO3bt3l+TgaifM9erVi9mzZ8u+V61WExkZiV6vZ926dVJ7bGyslce7NWGxWDh9+jTZ2dlS/G/nzp0lg/Z6UfuYuLu7s2jRIlk4giAIdO/enQULFvDOO+9I7fn5+Rw/fpzevXtbbbe2msy5c+fIyMioMw9gzx55sZuq9QVBwNVHwNV2/ZUmkZuby9GjR2Vt/v7+zJs3j+DgYKDyRePf//43a9askfS2MzIyyM/Px8nJCUEQOOv6Ok6532BvqVbsUKGlLbfQVn1LZYONsF6PQIG736uO3a1dOMbd3Z3+/fvbHLsgCIwePVpmbCclJWE2m1Gr6w+/6dKlC6+++ioJCQns2bOHpKQkysrKsLe3JyAggKFDh9K3b1/UanW9z/ubmagf5N7nPlM0VoY2wMDbtaz+fwbJUVKTXV9XSMZ2WZFI1PdG1r0uN8ztHGHQ7MYb29E/Gfl+aTmWBsLIcy+K/PysgbP7zcz/zB6tTjG4m4smGdv/+c9/SE5OZurUqdx+++20adOmwQv6WrF//34uXrzIjBkzZEkczs7OPProozz++OP89ttvDcoSVlW/fOyxx2QPmsGDBzNs2DD27NnDhQsXGiwGoKBwNRi1wI5dXxsx1bCht3xYwd4VRgbO0ODXSUXeJQuHfjNRkGb9gKwqBiIIAh06dGhyWJQoivz2229s2bKl3n4JCQmcPHmSiRMnkpKSQnl5ORaLBUEQcHJy4r333qOwsBBRFHF3d6d3794MHjyYyMhINmzYIMWXWiwWEhMTW931p9fr2b59O3v27LHyEAqCQFhYGGPGjLluCWg1jTWonGmoK+63S5cutG/fXuZ9PXPmjE1ju3fv3jg5OcnKhq9YsYJnnnkGNzc3qU0URf7++29Z4h4idPEey5//NVCQZiH3okhJnoidQ2VCpKuPiu6j1fSeZHsavrHs2bNHZkzqdDoee+wx2QuBIAjMmTOHkydPStJ55eXlREVFERgYSN++fUlLSyNeWEqfok9QlzfurcBol8HQF3Jx9x8ktdUO5WnXrp3NWYMqal8LoihSVlbWKH38qnMvLCysUeNVqMZiFkmNl4eGDKvD+6xzEpj4mB1rX62wWnZqt4W3JutRqSDpqJkKGykTYx+1w9Gtcef44XVGli8q53Lejw6vNaFWlzP/C3vFw91MNMnY3r9/P4MHD+a///1vc42n2ajSBrYlUzZ06FBZn/o4cOAAjo6O9OvXz2pZlbF96NChVvewV7gx8OmoYu579ixfJA/DKM0T2flV/bJTt71gR6dBzZu28ccffzRoaEOlAZCTk8O///1vcnJycHR0pLi4GL1eT3x8PP7+/vj7++Pg4EBmZianT59m7dq1jBw5En9/f1JSUqRt1TTcWgOpqal89NFHdSaiiqLIiRMnOHHiBJGRkcyaNate4+pqUPs3DQkJqbd/SEiIzNiuK6lSq9UybNgwNm/eLLWlpqby4osvMmjQIEJCQigqKuLAgQPVYU0WAZL7IySO4K9VAdSUx5NjZs9yI+7+AiPu1zLuUTvsHC/fUDh58qTs8+DBg2163kNCQujevTtJSUnSC1NaWhpZWVl069YNd3d3/Px0nE/5B/bnphNQMQU1tkO8zJST5bCR7DY/oN0Vgk9wpSwfWBeeqeu8qW+5Unzm6lNegpVBG9i97ut2/D/suBRv4dAaa3fzuei6Y+f73KLh1ucadzyLsi0sX2xtaDt5igyaZUfbnmqKsiqdMbVjyA+uNhE2xnRZHnSFumnSk9ZisdCtW7fmGkuzUhVv2L59e6tlbm5ueHh4WMXB1Uav15OdnU2XLl1seuyrvIC1Yxtro0y5tQ6qjlNrO16D79JgLNfx09MGWfW8+pj8pJZJT2qbdV+Tk5PZsGGDVbubmxvdunXDYrEQHx9PQUEBCQkJFBUVYTKZKCoqQq/XS97qiooKLl26RGpqKiEhIfj7+0vtW7ZsITExkeDgYMkArUpKq7kvRUVFMpk5Nzc3evTogaura7Pt75WQmZnJ22+/3egXhB07dmA2m5kzZ841VX7QaDSy37NqlqEuai+vL9Rg/PjxxMTEyGKiDQYDu3btYteuXfLOJjuIvgchozuNPVML0kX+eK2C2A0mFv9sf9nyf8XFxbKxd+nSpc59mTVrFtHR0ZKxbbFYMBgM0rPFy8uL3Lxc8HyLFMvn+JZNxss4GE/Hdjg6OWJSF3Aq/w/SdH9gVpVgZ7ZDFINZsWIF3bt3x8XFhTZt2si+/+LFi6SkpNRZ4Gnv3r2y/h4eHlbHs6m01nvl1USjs/4tCrMseATZvm4FAe77TIe+UCR+a+MSU4fM0TDnXR2CqnG/fdT3Rgwl8rZRD2kY/Xg53r520j1l3BItcRvNfLuwXBZzvvXTCsLvbHrC8Y1OY36fJhnbffv2tRmT2RIoKak8w1xcXGwud3Z2tlkRrCZV2rJ1Tb9VtVd9V1009KBSaFnU1gFuDfSaDi6BsP1jFWej6jYu2vUViXzUQvcxJgoLy+rsdyVs2LBBil+FSh3+adOmMWTIEOlldcyYMTz55JOy0AmDwUBFRYXkwdPr9ZLqyZkzZzAYDAQEBACVxyY1NZWysjK6du0KICVRFhYWkpKSwvbt2zl27JiVXrdaraZXr16MHj36ulSiFEWRTz75xKbn0dfXF2dnZ1JTU60Kx2zdupWgoCCbYRlXCxcXF5kxvGPHjjoTUfV6PTExMbJj7+joWG8C3b333stnn30m9am5roRZg3b/fFQ5Xa5oHy7GWnh3aikLfzFjfxnvWCaTSTaezMzMOvfFx8eH/v37c/78eURRlP6qzr3MzEzppbCCQtKdf2XWYwHcfvsAVCoVhw6dJv+HMxgvOZOWVoQoilRUVFBRUcGmTZsYN24c/v7+6HQ6mdb5smXLWLhwoZWm+cmTJ9m+fbvsedO7d++rdk9rjffKq4mrn5qizGrDK+qnUtyD6/eAaBxUVCYs2kalFuk2VmTIPJGQwSZK9OXQCDVOixl2faOmZlXS7uMsjH+2HEGwPnYdhsK0fwv88kS1YzHluIXjOwtpp9QQqxcPD48G+zTJ2H7yySeZO3cumzZtYuLEiU3Z1A1NzVhEhZaLKIoUFhbi5ubWKt/k+46v/Ms8ZyH6JyOpCRbKS0TsnQR8glUMmq2hXa+rk1NRFf5Rc7p68uTJVhKbK1euxNvbmzZt2pCVlSV5s81mMzqdDlEU0ev1BAQESB7tvLw8ysvLcXR05OLFi6hUKgoKCtDr9XTt2pVevXpRVFREXFwcP/30E6Io1qnzHB8fT0JCAnPnzmX48OFX5beoizNnzpCZmSn7jTp06MCcOXOkGTiDwcCePXtYu3atTPf4wIED9Zbdbm4iIyNlJdXPnTvHuXPnGDBggKyfxWJh9erVQHWogkqlYtSoUfUWP3J3d+df//oXP//8MwcPHrStdBM3BaEBQ1trD8byupdnnBbY9IY9931ad7GQ2gQGBsqM61OnTjFp0iSbfc1mMwaDgd69e5OYmIher0cURVQqFWazmby8PEl5x83NjUWLFnH33XfLtu3g4EDnzp0xmUyYTCbpdzxy5Ah33HEHgiAwduxY2axRZmYm7777LiNHjqRLly6UlpZy6NAhjhw5IvstBUFg4sSJzV6IqrXfK68W4XcY2PpJdfjeoZ9VTP6HM55Bto3p1AQzxzbInR4Db1fTvq8axEqVnS5D1XgEXn4Y2YUYMwVp8m3f9qwT7u6qOo/dyHtEtr6vJ/di9cvame0O9BqllIVvKk0ytrdv3y7pTf/44490797dphdYEAQWLVrUlK+6bKrGUVfls5KSkjq93lVULa/Lc13V3lDiiXIzal0IgtCqj1mbzmqmv3RtE5UvXryI2WyWfjdBEBgzZozsd0xLS+P48eMIgkDbtm3JysrCYDDg6elJaWkpXl5eaDQa3N3dKSoqorS0FG9vb9q2bYtKpSIuLk4WC5yWlsZDDz2ESqVi//79rF27ttHHbuXKlWg0mgYl0ZqT3bt3y8bm4eHBk08+KZPDs7e3Z9y4ceh0OlauXCm1nz9/ntTU1GvmkR80aBC//fabTJLxq6++4siRIwwePBhPT0+SkpLYvn07qampsv3q27dvozw9Hh4eLFy4kAkTJnDs2DHOnTtHaWkpWq0WT5dAjv850pZYBwC+wQL3L3OgQz8VJ/42s+KxcgrSbc8eHlxlYvpLIu7+1QaL2SiSny5iKBbROQt4BAhSUmVERAQJCQlS39OnT3P48GGrFw2onM0pLCzE3d2dfv36kZmZSXZ2NmazmeLiYtRqNVqtll69euHm5sbtt98u/VaxsbHEx8dLn4OCgtDr9dLn/Px8CgoK8PT0ZNy4cezfv5+8vDzpu0tKStiwYYPMCK997k+YMAFPT8+6DkGTae33yuZm5P12MmPbUArvTS1j/mcOhERU35NFUSR+m7kynrqG41trD7PfdMDZs+m/aUGG/Hpw9xfo2L86nMjWsVNrBHpP0rD9i+p9KEyvv4y8QuNokrH98ccfS/8fPHiwzoTD62FsV8VTJycnW+mRFhYWkp+fT9++9c+NODo64uPjw6VLl2xKJ1XFaiuFbRRudmrHIPv6+lq9zNaMx3VyckKj0eDk5CR5AS0WCyEhIQQGBpKcnExycrLkXa0y0C9evChto6ysjD59+pCbm8uaNWuskgi1Wi2dOnVCFEUSExMxGuUJoytXriQ0NPSqGiM1qWnAAYwdO9ZKd7qKoUOH8ueff8pkDRMSEq6Zsa3T6bj11lslNaYqjhw5wpEjR+pcT6vVXlbBMKg0umtXI9z2eQVHy611iKFS9uzx3x3x/F/56p7jNTzxhyOvDivFZGMVixn2fG/k1md1pMab2fm1kQOr5LGsOicYeIeWyAe09O/fn19//VV2Tn/55ZecOHGCYcOGSTrb27dvJz4+XuojCAJDhgxBo9Fw5swZMjIyEEURo9HI+fPn6devH0ajkcTERPbu3cu+fftk4/T19bW6jvR6PZ6enjg6OrJ06VLefffdRktdhoeHM23atEb1VWgefINV9JuqkWliZ18QeXOinnZ9VIQOV2OxQPw2M+mnrMNLht6jbRZDG8BcKzLLwbVx263dz1hXPrLCZdEkY9tW1beWwsCBA/niiy+IiorilltukS3bu3cvQKNKzIeHh7NhwwaOHDnCwIEDZcuioqKk71JQuJmpHQZQVFSExWKRGcBVEmlQGRfr7u4uxQW7ubnh4OCAn58fUOnlS01NlUIpRFFEra5M1BFFETs7O8LCwsjLy+P48eOy6XeojA2fMmWKFNNaWlrK+vXrZZX4TCYTu3fvviYGicVisVLoCA0NrbO/Wq2mS5cuxMTESG11zdJdLcaMGUN2djY7d+5sVH+NRsNDDz0kxddfDiUlJcTFxZGTk4PZbObQl0MA2zOGQ+/WSoZ2FX6dVAydq2XXN7YVeA7+auTSCQux6237yg2lELXcSNRyIz0nqBg/ZyprN/wo6xMdHU10dHSd+yAIArfddhsajYZ33nlHdu7n5+ezZ88enn766Tq9hJGRkWzatEnWVvO68vf357nnnmP58uWcPn3aegMWFRic0aocGTVhMNNnjb/mKjYKcPd79qSd1JNxRm5MX4y1cDG27vjtjgNV3P5K84VrOLrLz7PMRAul+SKO7vWvd+GwPFmzuYz/m50mGduNMVavF4MHD6Zt27asX7+eefPmSaopJSUlfPrpp2g0GqZPny71z8vLIz8/Hw8PD5mn684772TDhg28//77sqI20dHRREVFMXDgQEX2T+Gmp8pIrqKsrIxjx47Rp08foDrGs4rMzExcXV0lY1ulUjFs2DAGDBhAdHQ0arUaDw8PsrOzpXWqDGp7e3u6du2Kvb09er1eeumtYvDgwdx5552yNicnJ2bNmkVpaSkHDhyQ2qOiopgyZUqdMd7NRdWUbc3EtdpVM2tTe/m1rmEgCAKzZ8/Gy8uLP/74w2pmoCbe3t7cd999dO7c+bK+IyMjgzVr1pCQkCCvPpxiLdlaxYBpto9V+ExNncZ21gWRrPMNVPT4H8c3Wzh/vAt9HxrO0YQ9Da/wP2bNmiU9Z+bOncvnn38uW15RUUF+fr7NmZShQ4dKib5VaDQaq75eXl488cQTpKSksHv3bk6dOkVhkiuW04MwJYUhGrUYgS3r4NBreobeo2X4PK0shEbh6uLkIfDEOgc+urOMlOONk4fqMkzNIyscsHNoPsO2fV81ai2Y/3dJWEyVRXfGL6lbyi/rvIWTO+TGdvDAllE7pbVzdZ8w1xGNRsP//d//8eCDDzJnzhymTJmCs7MzW7Zs4dKlSzz22GMyI3nlypV8/PHHLF68mCVLlkjtgwYNYubMmaxatYrp06czcuRIqVy7s7MzL7/88nXYOwWFlkWbNm3o0KGDTAZz1apVdOzY0SpBWK/Xc/HiRVn4lZeXFxUVFUyfPp1bbrmF3bt3c/HiRckY12q1dOjQAW9vb1l4SlVsd03qSmarWlbT2C4uLiYtLY127dpdyW43GkEQ8PT0JDc3V2qLiYmpU+GjpKREXtAFrlm4S00EQWD8+PEMGzaM6Oho9u3bR2ZmJkajEQcHB0JCQhgxYgQ9e/a8bC9qXFwcy5Yto7S0FDs7O7nH11y3jrCLj+3v8Qio5/svUwyqNM2ZY5/1Z9gLKqL3R8lfBGphb2/P3LlzZc6n4cOH4+DgwJIlS2TJlufPn8fZ2VmWTDp58mT69u3LW2+9Jdtu//79bSeOAm3btuWW0XeR+Us5WXtsjy0/VWT9GxVsfKuCMY9omf4vHWqN4qW8Fri1UfHMJke2fV7Brq+N5NsoKAaVuQejHrJjxHwtGrvmPTbOngL9btPIdLw3vm2gW6QKl7bW/Q2lopUmt4MrDJh+w5qJ15Rm+xXNZjP5+fm2JZzgiqYWm8qgQYP48ccf+fDDD/nrr78wGo106tSJf/zjH9x2222N3s6rr75K165d+eWXX/jhhx9wdHRk1KhRPP7444pXW0Hhf4wcOVJmbOfk5PCvf/2LyMhIevTogclk4sKFC2RkZGCxWCgrK0OlUmGxWKT7w44dO5g6dSpTpkxhz549tG1b+VQQBIGgoKDqQicgxXzXxNXV1crLXhN/f39cXFxkIRkNSXc2FwMGDJAVc9mzZw9Dhw6V9rEKURRZvXq1TI1Eo9E0mGNyNXF0dGTMmDGMGTMGqBxjU5KmTp06xeeff163EasxQIXtx9PFY2b8Olkb1umnGykyrymHznug4yFwyge9OyQNgDPDwVgtpWfODOLwmlie/fBZ4uPj2bt3r0wOMSgoiOHDhzNo0CArrzRUHu9XXnmFjz/+mPT0dEpKStDr9Rw+fJguXbowYcIEScXkP//5j+x4Q2VYSV1kJ1l4Z4qe/NSG3yIsZvj7YyNZiSIPL7dvUnVNhcZj5ygw6Qkd45facXyLiVO7zJTkiCCAq69Aj7EaQiPVV7VCY+QDWpmxXV4Mb04sY+i9KsYutODTXo2hVOTQb0Y2v19B1nn5+TR4jhadk3K+NAeC2EQB6BMnTvDee+9x6NChOqcZBUGwSg5SULhWWCwWjh07xtmzZ9Hr9Wi1Wvz8/Bg4cKCsyIkoihQUFODu7t6qsq/1ej2HDh0iLS2NiooKHBwc6NixI3369KnTM9bcVP3Gb775Junp6QiCgIODAz4+PlIS4NmzZ0lPT5fWqVIesVgshIWFIQgCKpWK+fPnk5mZyfr164HqapNubm6yuOzBgwczaNAg3n33XSoqKrCzs8POzo4PPvigzpALs9nM0qVLZYbNk08+SZcuV6blfDnk5OTw4osvykJJ7OzsGDduHBEREbi4uHDu3Dn+/vtvzpw5I1s3IiKC+++//6qP8VpgNBp54YUXKCqq1pW2s7NDq9XStWtXHBwcOPpeBOZ0246M0JFqHv/d0ap92fwyDv/eQKiIfSGM/gScq1U9AgICaNu2Lennyri4/FbQ11BScU+l11PbWbToUaAyFMRgMODg4CCFHmVmZnL48GHy8vKwWCy4uLgQFhYmyfm9/vrrpKWlYbFYMJvNqFSqBkOC+vXrx0MPPWTzPlRWKPL6mFKyEi//0T3sXi33vN94GcS6aK33ypsNURT56oFyYtbavi7sHLFZDh7ArY3Ai7scL7so1NXEYrFw/Phxzp49KykXeTj7I6T0I+WwHSV5Iio1uPkJ9JqoofckTYt5uWySZ/vkyZPMnTsXtVrN0KFD2bFjB6GhoXh7e5OQkEBeXh7h4eEEBgY213gVFBqN0Whk69at7Ny502ZRitWrV9OvXz9uvfVW2rRpc+0H2ETy8/P5888/OXjwoM0XXScnJ4YPH86kSZNset7qori4WAoVcHR0JCAgoE6j3Ww2s2PHDrZv305ubi52dnYUFhZSVlap73rhwgW8vLxo3749AQEBMmPbZDJhNBrx8/OTPKV6vZ7nn3+ewsJCvLy8gMp8Cjs7O3x8fGTfHRkZaSW7aTQaiYuLo1+/fjbHe/ToUSsPYtX3XG28vb0ZMmSIlKANlcZbbfm22mg0mhuqjkFMTIyVosbAgQOZPXu2FCIU7VLBd4/YViM5tcvM/l+MDJpVfU6e2m1q2NAG6LtOMrQ9PT2ZP38+nTt3lgzGHd0z+XlJjf4FgRzbmU/2ndn4+PhIL3RQ+fK4YcMGq/LuAJs2bcLf359x48axaNEi3n33XXJzcxsVahMSEsJ9991XpxH79ycVVoa2i7fA6IVaBt6uxdVHIO2khagfjOxdYZRJy0UtNzLsHi0d+ytxuDcDgiBw7yf2FGWVcWav9SxSXYa2ozss+dWhxRjaJpOJrVu3smPHjupnebkzxI+D5B5gUkEtodDon0y4+wuMvF/LuMV2aO2vr9HdJM/2kiVL2L17N7/99hshISGEhoayePFiFi9eTHl5OW+88QabN29m1apV16Vim8LNi16v5+OPPyYxMbHBvjqdjoULF9KtW7dW461JSkri448/bpRCRUBAAEuXLq1X+1gURU6cOMHOnTuJj4+XeV/t7e0ZPHgwkZGRspcSg8HAF198IZM/g0oD8syZMzJNYJVKRWhoKBkZGeTl5SEIAr6+vnTq1Ink5GTS0tLQaDR1hqH16tVLVphjzJgxUhLkG2+8walTp6S4Xx8fH5577jkrQ7y4uJg33nhDFgoQEhLCM888U8+v17wYjUY+/PBDK891XahUKhYsWFDny0Nr5I033uDChQtA5XkXEBDASy+9JDNEjQaR58JKKcm1/XgSBBgxX8uQuVpO7jSx4a2KeovbAGBfBFP+D1QWBEHgxRdftHouWcwiz/cqoSCtRmPvP5mw1J4ZM2ZITTt37uTnn39uVGXgiIgIpk2bxg8//FDvDG+VdOBdd91V58utqULk+Z6lFGVVf29gdxWPr3PAxdvaMDq7z8QHt5fJfpvBd2m471OHBsddH4pnu3VhLBdZ+UQ50T81/EIaEKri4e8daNO5ZRjaer2eTz/9lLNnz1Y3FvrBngfls1D1EBKhZtFPDjh5XL9ztUnG9pAhQ4iIiOC9994DkBnbUOnynz59Op06deKdd95pnhErKDSAyWTivffe49y5c41eR6vV8vjjj+Pp6dniHyCZmZm88cYbVlJy9eHv78+zzz6Lg4P1Q1av17Ns2TKbHrqaCILA9OnTGT9+vFR6/MSJE3X2Ly0tJT09nby8PCoqKhAEgYiICIqKinB0dJS87aIocvbsWTIyMmxup2PHjrK45iFDhnDPPfdIxll0dDRffPGFLMnO1dWVcePG0bt3b0RR5NixY/z9999WHtUHHnjgmqsqGY1GfvjhB1mipi2cnZ2ZP3++VZ2A1ozRaJSeD1B57OfOncuIESOsrrntyyr45Vnb3u0rIuAEDPsOgLCwMJYuXWqzm1U4Sug2Ok49xXPPPQfA/v37+fbbby/rq4cOHco999xDamoqu3bt4sSJExQVFaFSqfDw8KB///4MHz68wSTYw78bWTZf/lbx4m5H2vas21O94S0Df7xe/RKr0cGbJ52bZHgoxnbrJO2UmV3fGIn+qQJDSfVxEwQIG6Nm5AN29BinRqVuGcfUZDLxwQcfyJ0TJZ6wbQkY6i9KWJuOA1Q8sc4RO8frs29NCiMpLi6WPQQ1Go1MGUClUkk61QoK14rt27fbNLQ7dOhAcHAwhYWFHDt2TBZ6YTQa+e6773j88cev5VCviBUrVlgZ2iqVih49euDj48PFixflXgAgPT2dP//800oSz2Aw8P7775OcnNzg94qiyG+//SZVfbRlaAcFBdG5c2dKSko4duyYVQKju7s7b731Fl988YWUTCkIAp07d8bV1ZWUlBQpBEUQBIKDg6UwNG9vbyZMmMDw4cNlD/gBAwbw559/yjzWRUVFrFmzhjVr1tS5P23btqV///4N7ndzo9Vquf/++xk/fjy7du3i4MGDMpm/tm3bMnLkSMLDw+ssetNasfWCWFeS+agFWtISLOxZXrfk4GVRQ+GkLhUYqFRlkKEyS8+1kpISfvzxR6t1nJyc6NWrF3Z2dpw8eZKsrCzZ8r1799K/f3/CwsKYO3fuFe/C6Sh5KEBIhLpeQxtg+H1a1v+3Asv/VjUZKrWUe4xVVCZuNgJC1cz+r4qxT5ZRkedKeTHYOYBnkOq6en3rYufOnXJDWwQO3GVtaAsW8D8J3hfAokaT0wtThjx8+UKMhd9fM3Dna03PWbgSmnS1eXl5ybRzfXx8rB7aBoNBengqKFxtLBYLO3bskLW5ubmxYMECmQZwaWkpK1askFXDy8zM5NSpUwwePPiajfdyuXTpklUIQmhoKPPnz5eFWVy6dIlly5aRmZkpte3du5epU6fKDLgff/zRpqGtUqlwcnKyGaayfv16K11qJycnHnzwQbp16yYZwuXl5fzyyy+ySnkFBQUkJiby7LPPcvjwYXbt2sXZs2cRBIE2bdrg5+dHWVkZ7u7uBAYG4urqipubG71795aSKGuj0Wh48MEH+eKLL2zG5tvC09OTRYsWXXPt6poEBQUxd+5c7rrrLkpKSjAajTg5OV1WfH1rw5aeeV1qMIIgMOddHUfjoymJsS6VXh8qDfSdopF7qHM6gsERdHopOdNiQpZAVVYocnZfrdhWhyJp3Pv27cNgkHvbJ0yYwK233iqFfoiiSExMDMuXL5e90G/fvp2wsLDL2o/alObJXwQ6D274/HX1UeHXWSWrWFhXeI7CzYHGDrxDVS16VkIURatnuWN5d/S58pfzdn3BbfwGjl+orlBsYhszRjzJ9tcDKKghuxi1vLKSbGOraTYnTTK2Q0JCpNg7qMyg3rp1K7GxsfTp04fExEQ2bdpEcHBwkweqoNAYqhJza/LAAw9YFduoMg5feeUVmUEaHR3doo3tPXvkRTZcXFx45JFHrAy0oKAgHnnkEV555RUprrS8vJxDhw4xbFhlwZDc3FyrUAYXFxemTp0qeVVzc3P5+++/2blzp7Sd4uJizp8/LxWsAbjnnnvo3r27bFv29vbMmzePtLQ0mSTg7t27GThwoPSXm5tLdnY2JpMJR0dH2rZtazNmVRRFkpKSyM3NlVQfgoODKzPSPTx47rnn+PLLLxuM0+/UqRMLFiyQvZxcT1QqlUwV50bG0dERJycn2Qzo4cOHpWIwtUlPT6Mk+Gdw3wPnhkFKHzDXrbDj7CUw9G4tI+ZrsXOE2A0mqagHZi0kjAVNBTv/6seuxSVYzJWKDO16qxk+T0t2shlDTdl2wQz+J/Hx6YAoiuzatUv2fX379pXFckPlS8LAgQMpKiri119/ldrj4+PJzc1tUkKuqpZtXVHeOKPZWCbvp1ac2gotnISEBNlsJUC7ilnUrD7g1kbgibVO6Fxm8+qrZ2QJ+OcK/mbxzwt5LVIvJQkbSmH/L0ZGLahbx/9q0aRLLjIykv/85z9kZWXh6+vLggUL+Pvvv7nrrrtwc3OTSjYvXLiwucar0EopKSkhJiZGkqdzdHS8KvJ0tcNHgoKC6pR1U6vVjB49mp9++klqq/ny2BKpvX/Dhg2r0xPq7+9PWFiYLNzj3LlzkrG9Z88eWYKXRqPh6aeflulUe3l5MXv2bLy9vVm1ahVQGaJRVFRESUkJzs7OeHl5yQzvmgiCwOjRo/nmm2+ktsTERJlOs5eXV70GiF6vZ8+ePezevdvq5uvg4MCgQYPo168fnTt35umnnyYxMZGdO3dy7NgxyQup0+no1asXo0aNIjg4uEV7dG5kBEEgPDxc5rHavXs3w4cPlxU5gspZ0ZUrV1Z+8EyF8F9wGbaD2WNfpDRXwGQQKS8Bj0ABB1eBgvJL5JpjKS4v4q/dKjw9Pek+fgjHN9R4zJ0dDgiIVNe5qdDDuWgz56JtaH4HxINjIYMGDaK4uNjq/KvSHbfFsGHDWLdunXQOiqLI+fPnm2Rsu7WRn7cntpiY8qKeI0cOc+nSJQwGA/b29rRv355+/fqh0+lIP20mJ1msdzsKCi2N2k4T/zaBnF8vD0scs1CLg5sAVD5npPsFlc+6tovU9J6sIXZ99QxXzFpT6zO2Z8+ezaRJkySvTGhoKN999x2ff/45KSkphIWFcc8999Qrzq9wY5Obm8sff/xBTEyMleQaVCaBVcnTNUd8au2Y0I4dO9ZrWNWOF72cpMPrQe2QrIaKKnXs2FFmbNfcv9jYWFnfYcOG1VkQZtSoUfz9998UFBRIxzE3NxdnZ2c6dOhwWb+x2WymoqKiUcc7OTmZTz75RBauVoXRaKSsrIyNGzeyefNmHnzwQYYOHUqnTp3o1KkToihKsdD29vaKgd1CGDlypMzYNhqN/Pe//2XEiBEMHDgQBwcHTp06xbZt22QVNwGGjx3AgKnV540oikRHR7NuyxaZV0uiPBaomQh5medAlz24u7vTu3dvsrOzrRbXd/3pdDoCAwM5f/681NbU+0uviRr+/rg6NCXrvMgzc7/H5HfUqu8vv/zCkCFDKNomr6jq4i3QcYAi/afQsql9rQT5dCW91uXTf1q1o672tVhWVoYoivS/TW5s519qZPGrZqZJxrZWq8Xb21vW1q9fP5YtW9akQSncGJw/f56PP/7Yqpx2TUpKSvjrr784fvw4S5YsafLUfm0veX5+fr39a4ecXKsiMFfK5e5f7eU1i8LUNmB79epV53bUajVhYWHs3btXUgGpkulraAy24qgb8ztfunSJd999V5Y8aDKZyMrKIj09XXZeiaLIhQsXWLx4MbfffjuCIEiFdRRaFv7+/gwZMkQWy282m9m5cyc7d+6scz03NzeZJ9lisbB8+XL2799f95e5ZYCuCAxXEKbjnQg+F5g69V7UarXNc7agoMDqGViFKIr1Xn9XQuchagJCVaTViL82RU+HoQXgI5+VK9OXse1jCxyXb2PoPVq0OuXFU6FlU/tayc+1zh9ycq8+j2tfa1qtFkEQcPKUn+vGZhQ4uhyaJKSYlpbWYKnjkpIS0tLS6u2jcOORlpbGhx9+WK+hXZNLly7x4YcfygyrK6F2cZqEhIR6k+aio6Nln+sr9d0SqL1/tcdfE4PBwOHDh+tcv7bqZ0Oe36rljo7y6n3nz5+Xxb3XpqZRBeDr69tgcQ+TycRnn30mOx/y8vI4dOgQKSkpWCxy74QoimRmZvLSSy/x5ptvWiWxKbQs5syZQ2hoaKP7Ozo6smTJEpl2+sqVK+s3tAFOj7wyQxsgtwMj+s9gyJAhQKWSTu3ZmNrntuyrT5+2MgCaWjxLEAQi7qmlRV/hCDsWwa4FcGEgpIfCyVGw6Rk4fousq8YORtzXsh0KCgpgfa0kXoy36pMcVx36VftarFo/OVYeHubofn1eNJtkbI8ZM4bly5fX2+fHH3+sN65N4cbkhx9+sAp50Gg09OnTh7Fjx1olLAKkpqY2WSayf//+Mg+UxWLh+++/t1lh8cCBA8TFxcnaBg4c2KTvv9rUTt5MSkpiy5YtVv0sFgsrV66UHQNBEBg0aJD0ufYswvHjtVxgtbZXVbzG09MTrVYr8zwsX77c5ovSsWPHrF4IGpOAevToUVl8bE5ODpcuXSIsLIzw8HAGDhxIeHi41Q1ZFEU2b97Me++9pxjcLRitVsuSJUusZBxtERQUxDPPPCOTmU1ISCAqKsqqr6+vL5GRkQwZMgQnR1dIHCTvINiIy5ZR4wVUVKNLGSl9VKvVREREyHpv2bJFFiZSRVFRkZVEYJs2bazi0q+ERMvPlbHktcnsCodmVRb7OH4LFPtadZn1hg6vdi2jWImCQn307dtX9nIravTYeRXI+uz5rvK5HhMTw9Gj8lCqwYMHY7GI7F0hf/Z36Hd9zv8mhZGIotioCloKNxdJSUlWD6CwsDDuu+8+mepCSkoKy5Ytk2nSRkVFceutt17xdKujoyPh4eGyktjx8fH8v//3/4iMjCQkJISCggL2799vpROt0+kYMODyJMauNb169cLDw0PmMVuzZg1xcXEMGzYMb29vLl68yK5du6y8zWFhYbIp7169esniXPfs2cPo0aOtyqID7Nq1S/pOlUqFn5+fLNErMTFR+o2rdLYPHjxodQNUq9VSgmZ91Awn0Ov1pKSk0Lt3b5lH3N7eni5duiAIAqmpqVJ7VlYWZ8+eZeXKldx///0NfpfC9UGj0XD33XczZMgQjh07xqFDh8jLy0MURRwcHOjWrRuRkZHSMa7J9u3bZZ+1Wi333nsvAwYMkPoedCnn6+9qvWSP+oShEaMxnO7NhbgSivIqMFIKzpkIwYdxzA+n9Fh1ONW+lUam/lMnlXoeOXIku3fvlpYbjUbefPNNIiIipITEhIQE9uzZYxVzOnLkyCbnDeTk5HD8RBwMSoB98yCj8bMDqj4b6XvHZODaJ4cpKFwuDg4OREREyK63iqA9kHur9DlmrYlsh3UkmzbK1rWzsyMiIoI/Xq8gJ0luow6/9/rM7Fx1AaCMjAyrwhYKNza15enc3NxYuHChlQHdtm1bFi5cyKuvviq16fV6Dh8+3CT5vSlTphAbGysLYcnPz2ft2rX1rjd16tQWr3GsUqm44447+PLLL2Xt586dq7diplarZfr06bK2ESNGsGXLFumFucpwmDFjBgMGDECr1VJQUMC2bdv4+++/ZesOGzYMvV4vC9EpKirijz/+qHf8NROq66K8vFy2LykpKQQFBckM7dDQUMaPH0/nzp1JSUnhkUceIS0tDbPZjNlsprCwkAMHDnDLLbe0+NCgmx1PT0+mTZvG9OnTK7WvLZZ69c/z8/OtXpSnT59uNSt1ejdyvJLA+yKnCv7kta8GIQjV4VAmUwhq9XCyEkVeGlh93yjNr5yG7jSo8lEZFBTE0KFDZS/zoiiyf//+ekNa/P39GT58eJ3LG0tUVFTl9aqpgGHfoD4zEbvk0ZRZ5w9X45oJPTdiCYwnOtqD8ePHN3kcCgrXgsmTJ3PkyJHqcOUOB+HERJn8Z/JPkRBiB52jwCUHRBjSdQ7LH1IRt1EechUUpiIk4vokB1+2sf3xxx/LPh88eNCqDSqnnTMyMti4cWO9iVcKNx61JXtGjBhRp6c6MDCQ0NBQTp2qVs9MTExskrFdVbDkcmLAx4wZw+jRo22qXrQ0BgwYQG5uLr/99luj+ms0GhYsWEBQUJCs3dvbm4EDB3Lw4EGpraioiO+++44VK1bg7OxcZ7z71KlT8fb25t133210XP7gwYOZMmVKg/1qllQ3Go1kZ2fLKv4NGjSI++67T/ISBgcHM3DgQJKTkzl69CgWi0VK3ty1a5dV1UyFlosgCA0WGqqSjqxCp9PZnC0pyak16+pXWVU1NzeXwsJCWRhVVdEav04CnkECeZeq1y2utZ05c+ZQUFAghVU1hJeXF0uWLGmW5GvZvVVlYfhCPbdPcyZmrYmDq4zkXrRQUQYOrgJte6ko9NrC6dyNkgjLuXPnFGNbodXg4eHBokWL+OCDDyqf5boy6PY3nJhc3UlUVWrwnxsGumLUKnt2rtICcvUzQQW3v6q7bqpUTTK2BUHg4MGDsod1bXx9fXnqqaeubHQKrZLa06cNxSl27NhRZmw3h/xeSEgIzzzzDMuXL6+3FLmDgwO33XYbo0aNavJ3XksmTJiAu7s7q1atslnlsQo/Pz/mzZtXZ3nquXPnkpaWxqVLl2TtJpOpTkN7woQJkq72c889x3fffVdvIRmdTsekSZOYOHFio250NftUFbCp8nZqNBruuOMOq+2YzWYcHR0JCAjg0qVL0vKYmBjF2L7BqJ0L4u/vf9myoXq9vk7lo4YiIzUaDYsWLeK3335j586dNiVNK7cj0qlTJ2bMmIFKpcJisTSYGNyYcdekQ4cO2DkIDJmjZcgca2N+2zZnTlfX1VGqOSu0OoKDg3n22WdZvnx5ZXG0btuhxBuSwq07G1yoKyvjrjd1dB99/ao5XfY3f//990DljeTee+9l+vTpVtPTUDnd7e7uTnBwcJNvMAqti+aUp2sKgYGBPP/885w/f55du3Zx7tw5SktL0Wq1+Pr6MnjwYKlSIlirc7R0IiIi6N+/P0eOHGHv3r1SwSAHBwc6dOjAiBEjZOXTbWFvb88TTzzB559/blUGvjaCIDBlyhRuuaVa4cDX15dnnnmGpKQkdu/ezenTpykpKZFkQSMiIhg8ePBlhee4uroiCAKiKEpJjjk5Ofj7+9OlSxdcXFxk/TMzM8nIyMDOzg4fHx8uXboknUOFhYWYzebrWpZdoXmpfX8pKCiQFUmqwsW71nmf2Rl6bAbqvsdknLWQnyq/D7j6WD+/1Go1M2fOZOLEiezdu5eYmBjy8vKwWCyS5JherycxMZG33noLqKxaO3jwYEaOHImvr3XyYmOwkkO7TvdWBYVrSUBAAM899xwXLlxg165dnPHaRuFePebjI2lIO1/nDPe8b8/A26+vCs9lG9vh4dVvE4sXLyY8PFzWpqDQpk0bmZJEdHR0nfGKer3eKomuOWNsBUEgJCSEkJCQZttmS0Kj0TT5GnRycuLxxx8nLi6OnTt3ymYZoNIzHRERQWRkJIGBgTa30aFDh2ZRWqj6vh49enD8+HHpBSglJQVvb28rD6YoiqxZs0b6XKWHXNNr2VAMsELrwt/fX/a5oKCAU6dOWZV87z5azZ7lNRIkcztAbjt0AZl1erW3fSaP8XTygHa963YWubi4MHHiRCZOnAjAjh07WL16tU1vd2lpKVu3bmXbtm2MGzeO6dOnX7Yjqk2bNrLk8+joaCZNmmTzhdpkMlnNOiv5CwqtFUEQCA4OJjg4WGrLOm9h97cV7FtppLTWe6d3B4GR99sxZI4GZ6/r7/Btkk998eLFNttFUSQ5ORl7e/sm64oqtD4GDx4sS2BKTExk27ZtVhKQZrOZlStXyiTaasvTKVwbVCoVffv2pW/fvuTn55OZmYnRaMTR0ZGgoKBmqe55OURGRnL8+HHJi1leXs7Ro0cpKyvj3nvvxd7entOnT7NhwwZOnz4trZefn0+bNm0kI8be3r7FFypSuDzatWuHv7+/TEnnxx9/5Omnn5Yl3/aepMHZx0xJdo0Xrf1z6PnUUSlGuybRPxklKbEqht6tgMzLtgAAdTxJREFUlZRIGmL9+vX8+eefDfYTRZEtW7ZQWFjI/PnzLyuGdPDgwTI94aysLH7//XemTZsm244oivz6669WOShNyYVRUGhp+AaruOPf9kx9UUdqgoWSXBG1Blx9BfxDVahULad4U5OM7W3btrF161aee+453NzcgMriJAsXLpRiOCdPnsxbb72lhJLcRPTp0wdXV1dZotuvv/5KbGwsQ4cOxcvLi+TkZHbt2iWT/YNqaTuF64eHh8d1Pwbdu3enffv2shjV8vJyYmNjmTlzJkFBQVZhP2azmczMTMLCwmTbUbixEASByMhIfvrpJ6ktKyuLl156SQqdqqioqFQx8HOB7AnVK5d6E/vGWFZeLGfAdA3OXgKXTliI+t7Imb3yaE+VGkbc37iwi6NHjzbK0K7JgQMHCAwMZMKECQ13/h+dO3e2etHYtGkTJ0+eZPjw4bRp04bU1FR2794tk8OEytjXmlrlCgo3ClqdQIe+LXv2sknG9k8//URmZqZkaAO8/vrrnDt3jkGDBlFQUMDGjRsZNGgQM2fObPJgFVoHVUls33zzjaz9zJkz9cYF63Q6pk2bdpVHp9AaUKlUPPLII/z3v//l3LlzsmTN8+fPYzabCQgIkDyUJSUlpKSk0LFjR5kXPjIy8hqPXOFaMHToUHbt2iWrTlxWVsbmzZvZvHlzdccuWkgNg/xqJR6TQWD3t0Z2f2td6KomU/9ph0+Hhp1Eoiiyfv16q/aIiAhGjx5NUFAQ2dnZREVFsX37dln1002bNjF69OhGz74IgsDMmTP56KOPZC+bycnJ9SaCq9Vq7rjjjkZ9h4KCQvPTJHfzuXPn6Nmzp/S5uLiY3bt3M3nyZL777jtWrVpFSEiILKZS4eYgIiLisgxnrVbLww8/TEBAwNUblEKrwsPDg2eeecaq0JAoiiQlJbF//35iY2M5dOgQJ0+epH379jKPfLt27ejSpcu1HrbCNUCr1bJ06VJZkSabaIww7Gtwzbis7Y9brGXCY43zap8/f95KzWfmzJncf//9dOjQAY1Gg7+/PzNnzuTRRx+V9dPr9Rw6dOiyxhYWFsacOXMaHX6iUqmYP3/+DZu3oqDQGmiSsZ2XlyerNnf48GFMJpOkVqDVahkyZEi9b9wKNy6TJk1i/vz5VuoRtfH39+eJJ56QTf8rKEClZvoHH3zA/PnzrZLaLBYLJpOJwMBA+vbtK1vu5OTEggULrpumqsLVx8PDg2effbbBOg4alzJGvHKc8JlqhAaeeC7eAne/r+OOf9s3+typbSz7+PhY5adU0bNnT6vQppiYmEZ9T01GjBjBI488UmeiZxXe3t4sXbrUquCPgoLCtaVJYSS1i14cOHAAlUol80RpNBpF2/MmZtCgQQwYMIDDhw+zb98+0tPTMRgMODo6EhwczPDhw+natatiFCnUiUql4umnn6ZTp06sX78eg8GAKIpotVp0Oh16vZ6cnBwEQUAQBHx9fXnuueeuWF5NofXg6urKokWLyMjIYNeuXcTHx1NcXIxKpcLDw4MBAwYwdOjQyhf++2DGvyzs+d7IodVGclNEzMZKabD2fdQMn6el720atLqG70VlZWWcOHGCvLw8du/eTXp6Oh4eHtjb29O3b99672f9+/cnISFB+pyXl3dF+967d2969OjBsWPHiIqK4tKlS5SXl2Nvb0/79u0ZNmwYPXr0UPKlFBRaAE0ytoODg9mxYwePP/44arWajRs30r17d1kMd1paGl5eXk0eqELrRaPREBERQURExPUeikIrRRAEZsyYQc+ePdm2bRuxsbHk5ORw5swZCgoKsFgsODg44O/vj1qt5sMPP2TIkCGMGzeuQe+fQuunTZs2zJo1q8F+HoEqbntex23P6xBFEdECKnXjX/SzsrLYsmULBw4ckKqUxsfHk5ubiyAIeHh4SAWf6qK2so/ZXFcZjoZRq9WSipCCgkLLpUnG9j333MM//vEPRowYIXmwlyxZIi03m80cPnxYKdeuoKDQLHTu3JmQkBC+/PJLNm/ejLe3Nz4+PqjVary9vSUvnl6vZ+vWrURHR7No0SIlXlXBCkEQEC5DwODYsWN8+eWXkpFdRVVyoyiK5OXlsXz5cgICArjttttserhrerWBBsPsbiYyEy0kbDNRnCMiiuDiI9BtpBr/ri1baUJBoSGaZGxPmDCBl156idWrVwOVMbo1M56jo6MpLy+vs6CJgoKCwuUgiiIrV67kyJEjUr6IKIpUVFTYNGxKS0v54IMPePrppxXZM4Ur5uTJk3z22WcyJZEqPDw8yMioTsAsLCzkxx9/RBAEbrvtNlnf7Oxsq0IzPXr0uDqDbiWIosixTWZ2fFnByR22vfxdhqkZtUBL31s1SsihQqtEEFtbjWoFhauEKIoUFBTg7u6u3NBbKEePHuXzzz+XtYmiiEajoVu3bpSWlnLhwgWr9fz8/Hj55ZeV+NUWRmu45gwGA//85z8pLi6WtatUKkJCQlCr1axYsUKmCa/RaAgODuatt96iS5cuiKLI8ePH+emnn2Qx2iqViv/+97+yYjytgeY6bkaDyPeLyzm42rripi363KLhgWX22Dm2zHOlNdAarrkbkSZ5thUUFBSuJVu3bpV91mg0zJw5k7CwMLy9vREEgaysLH788UdOnjwp9cvMzCQ+Pl4mVaqg0BgOHjxoZWgPGDCAmTNnSvkAISEhfP755yQlJSGKIiaTiTNnzvDoo48yfvx4srOzZUW+qhg0aFCrM7SbC7NJZNl9ZRzb1PiY9dgNJj6+q4ylqxzQ2CmGokLr4bLcPA8//LCsDPflUF5eztdff82PP/54ResrKCjc3KSlpXHu3DlZ2+zZsxk5cqSs/Lavry+LFy+mTZs2sr47d+68FsNUuMHYtWuX7HPnzp158MEHZYm3o0aNIjg4GJPJRFZWFpmZmWRnZ3Py5EliYmJsGtoBAQHceeedV3v4LZYNb1bYNLQd3aH3JA19bqms8Fmb07vN/Pay4RqMUEGh+bgsz3Z6ejozZ84kPDycqVOnMn78eJydnetd5/jx4/zxxx+sX78evV7PG2+80aQBKygo3JzU9FRDpezbkCFDbPbVaDSMHTuWFStWSG2nT59GFMUWPXVaFdXXksd4M6HX60lJSZG1TZgwQTo+oiiyceNGNm3aRHl5OT4+PmRnZwOVAgFVRWv8/Pzo2rUr9vb2AHTs2JFFixbh4OBwbXeohVBWJLL1M3miqc4Zbn9Fx+C7tNg5VP6+RoPIwdUmVv+zHH1hdd9dXxuZ/KQdzl5KWJhC6+CyjO1169axZs0aPv30U1544QVefPFFgoOD6d69O15eXri5uVFeXk5hYSHJycmcOHFC0jydOHEijz/+OEFBQQ1/kYKCgkItSkpKZJ+r4mXrSjupXT3SaDRSUVFhJb12PRFFkdOnT7Nr1y5Onz5NaWkparUaHx8fIiIiGDZs2E0bZtASqH3OAXTt2hWoPHbffvstBw4cACpl+MLCwigsLCQrKwujsbIcvMViobCwkNjYWMaPH89tt93GkCFDUKtvXoWNA78aMdT6aRf/7ECXoXKTRKsTGDpXS2B3FW+M1SP+Lz/VVAF7VxiZ8I+Wcy0rKNTHZRnbgiBwxx13MGPGDHbu3MnatWs5ePAgf/zxh1VflUpF165dGTNmDDNnzsTPz6/ZBq2goHDzUTNUBCqVRuqjZsJaXdu4nqSmpvL111+TmpoqazebzWRkZLBu3Tr+/PNPxo4dy/Tp05XkzuuALYO4tLQUOzs71q1bJxnaVQiCgJ2dHV5eXphMJoxGI4GBgfj4+ODk5IRKpaJfv343taENEP2zUfa5zy0aK0O7Jh36qgm/Q8OBX6sTKff9aFKMbYVWwxU9eVQqFaNHj2b06NEAJCYmkpGRQUFBATqdDk9PTzp37qzohyooKDQb3t7ess/nzp0jPz+/zqI1tctou7u7txgj58KFC7z//vuUl5fX289isbBlyxays7N56KGHFIP7GuPm5oZGo8FkqjbyDh48SEREBJs3b7bq3759e3JyctBoNBQWFpKenk5QUJB0jhYUFPD3338zbdq0a7QHLZOMM3IJxYhZDZsig2ZrZcZ25jkLFouISqWEXCm0fJrlzh0SEsLQoUO55ZZbGDt2LP369VMMbQUFhWald+/eshAQi8XCTz/9ZFP7ODk52SqxraVUMC0oKODjjz9u0NCuydGjR1mzZs1VHJWCLTQaDf3795e1bdq0iT///FN23gmCwMKFC6XiSu7u7rRv354xY8bQu3dv2fpRUVEy4/1mpHYIiU+Hhk2R2n1ECxjLmnNUCgpXj5Yzp3oVyM7O5v3332fXrl0UFhYSEBDArbfeykMPPYSdnV2jt1MVo2eLJ598koceeqg5hqugoFAP9vb2REREsHv3bqktLi6O119/nYiICPr3709paSkHDx5kx44dMoNGEARGjBhxPYZtxZYtW6xigb29vRkzZgydO3eW9mHfvn2yePRt27YxduxYPDw8rvWQb2pGjhwpCxfR6/V8+OGHeHl54e3tjVqtJigoiN9++42srCzZumPGjKFPnz68+uqrUltxcTHx8fFWRvjNhM4ZymuoKWZfsNC2Z/2zTtkX5C/Vggq0N2d+qUIr5IY1trOzs7nzzjtJT09n7NixdOjQgcOHD/PRRx8RGxvLsmXLLmtKNjAwkOnTp1u19+vXrzmHraCgUA8TJkzg4MGDMq9wSkoKiYmJrF69uk4Vj6FDh1qFoVwPDAYD+/btk7WFhoayePFiqex3VdugQYN47733JA+qKIrs3r2bqVOnXtMx3+wEBwfTs2dPjh8/DlTOqJSUlFBSUkJycjIAFRUVVomsbm5uREZG4uTkRPv27aW+ABkZGTe1se3fVcWFmGrjef/PJvrdpq1nDes47zZdVEoIiUKr4YY1tt9++23S0tL417/+xZw5c4DKh9Xzzz/P2rVrWbt2LbfffnujtxcYGMiSJUuu1nAVFBQagbe3NwsXLuSTTz6R1B4aIjQ0lLvuuusqj6xxHD9+nLKy6rlvQRC4++67ZYZ2FV26dGHYsGEyT/6BAwcUY/saIwgCDzzwAO+88w4pKSk2w5Zqz5Q6ODiwePFinJycgMqS7jWN7YoKuezd9UQURRISEoiKiuLSpUuSYk/79u0ZPnw4nTt3bnYpysF3abkQU62VHfeXiVO7TYSOsG2SXIgxc6hWlckhc+o3zhUUWhI3ZLZNSUkJGzdupG3btrKHrCAIPPHEE6hUKlatWnUdR6igoHCldOvWjSeeeAIvL68G+w4dOpQlS5a0GBWS2mEGwcHB+Pj41Nl/0KBBss+5ubmYzY2vuKfQPDg4OPDUU0/Rt29f1Gq1lfFZs8Kkv78/zzzzDO3atQMqPeFJSUmy/o6Ojld9zI0hPj6el156iQ8//JAjR46QlZVFQUEBmZmZHDx4kHfeeYdXX32VxMTEZv3eiJla7GuldX1yVxnbl1VgKK0OnaooE9n9XQXvz9BTU+FTo4MhcxVjW6H10DKeQM1MbGwsFRUVDBkyxOqm6OvrS5cuXYiLi8NgMDRac7eoqIhVq1aRm5uLp6cn4eHhdOjQ4SqMXkFBoSGCg4P597//TWxsLDt37iQ+Pl5a5uLiQkREBCNHjsTX1/c6jtKa2t54Nze3evvbSjQ3mUwtRlXlZsLe3p6FCxdy6dIlnn76aU6cOCHlBWRkZDBq1ChGjRpF9+7dZSGKR44coaCgQLatkJCQazl0m0RHR7N8+fI6deqrSEtL49133+Whhx5qttAXexeBsYvsWP9GtYe/Qg+/PGtg3f8Z6BShRlBB4kEz+gLr9Uct0OLsqYSQKLQebkhju2q6ri5juH379pw6dYqUlBQ6derUqG2eOnWKF198UfosCAK33norr776aoNVwBq6mSm0DKqOk3K8WgdVmsV9+/YlPz8fOzs7tFotdnZ2sgp/LQlHR0fZmBITEzGbzXXmj5w7d07WX6PRoNVqW9x+XSmt8ZoLDAxk6dKlfPvtt5jNZkRRRKPR4ObmRkhICIIgIIoioigSHx/PihUrZPvXrl072rVrd133+dSpUyxfvtxmSIwtjEYjy5Yt4+mnn6Z9+/bNctwmP6nl0gkzsevlMzXlxXBia92zN91HqZn2/+xa1TnTkmiN11xLpzFhVldkbJtMphYzLWuLqim9uuQHq0rM15z6q4/777+fSZMm0b59ewRBICEhgffee48//vgDs9nMu+++W+/6hYWFyondiigsLGy4k0KLQqVSYTKZMJlMspjoloafn58sXjcrK4vt27czYMAAq74Wi4UNGzbI+rdv3/6GPD9b2z6FhISg0+mkZ0hFRQXbt29n7969hIWF4ejoyPnz50lLS7Nad+DAgdd1f0VRZPny5VbSk35+fgwePBgfHx/S09PZv38/OTk50vKKigpWrFjBokWLpLam7scdb4NKp+LImsZFtPacbOHOt00Ulxoa7qxQL63tmmvJNEYh6rIt5pKSEsaOHUvnzp357rvvpOnMw4cPk5ubS1hYGIGBgZc/WhtERERYTb/Vx/fff39VtHSfffZZ2edBgwbx3XffMXXqVDZs2MAjjzxC586d61y/oalihZaBKIoUFhbi5ubW7AlBCleP1nTc3N3d6dy5syxZ7s8//8Td3Z3+/ftL4y8qKuKXX34hOztblnw3ceLEOov4tEZa07GrzUMPPcQnn3wi8w6LosiJEyekz7UTJ3v16sXYsWOva3Gis2fPkpeXJxtbVaXnmsdg+vTpLF++nP3790ttFy9epKysjDZt2jTbcVuwTCRhlpkdXxqJ32rGll+qW6SayAVaek20jpdXuDxa8zXXmrlsY3vdunUUFBQwb948WdxgdHQ0n3zyCVBpXIaFhdGjRw+GDx9u02vTGKZMmdJgSeaaVEl7VXm06/JcV2ncNqXwjoODA7fccguffvopR44cqdfYVk7o1oUgCNfkmBkMBlJTUykrK8POzg4/Pz8r+TCFxnOtjltTGTt2LN988w0VFRWUlZWRn5/Pu+++S7t27QgNDaWkpISTJ09iNptl++Pl5UWfPn1axT5eLq3l2NWkZ8+ePPjgg3z77beNKlLTo0cPFixYcN3j7aOjo2W/tY+PDzNnzrR6AVCr1dxzzz3Ex8fLdOH3798vyeA2x3ETBIEe41T0GKclO8nCyZ0mirNFRBFcvAVCR2rwC7khtRyuK63xmmvNXLaxvWPHDgICAhg3bpzVMlEUCQ8PJyEhgb1797J3715WrVrFzp07L6uITBX/7//9v8teByqnWgGrDPAqkpOTUalUtG3b9oq2X0XV1EFLnrZWaHlcunSJnTt3cuDAAVmIgCAI9OjRg8jISMLCwpQb4Q2IKIo4OztTXFxMbGysLLzs2LFjHDx4EH9/fytHgEaj4f7777/uhpqCnAEDBuDj48OGDRs4duyYzXBBb29vRo8ezahRo66rR7uK9PR02echQ4bUOS6tVsvAgQPZsWNHnes3Jz4dVPjcd/m2goJCS+eyje1Tp04xfPhwm8sEQeD7778H4MKFC2zevJn333+fbdu2MWnSpKaN9DLo06cPdnZ2UgW2mkZLVlYWZ86csSr9fCXExcUBEBQU1KTtKNwciKLIunXr+Ouvv+pcfvz4cY4fPy55wezt7a/xKBWuFgaDgW+++YbY2FicnJzw9vYmOztbWm6xWMjIyCAjI4OgoCA6duyIIAjodDoefvjhRidzK1xb2rdvz6OPPkpubi4xMTHk5ORgMplwdnama9euLe7FubbGd0MSmrWLQRkMSry0gsLlctmv2QUFBY2S0+rYsSMLFizA29ubXbt2XdHgrhRnZ2cmT55MSkoKP/30k9QuiiLvvvsuFouFmTNnytYpKysjMTHRKqElISHBpuf6r7/+YsOGDXh4eDB48OCrsyMKNwyiKPLrr7/WaWjX5sSJE7z//vstqviFwuVjsYic3mNi62flvDI7ithfXfj/7d13WBTn9gfw72xhCx2kiyAgiCIiKggWrIkSNWqKpplEE2OKSW5yk19i4k2996Z5b0xVE2NiSbMlXo2JwQaIgqJSRCkWkCK9Ldt35/cH2ZFhlyYdz+d58kRmZmfe3ZndPfPuec+LkuEQsGIMHz4cQUFB3IBtE4YVorRAgas51xEZMQGvv/46Ro4c2UvPgLSXs7Mzbr/9djzwwAN4+OGHcddddyEkJKRPBdoAzKpnFRQUtLp90/EFQN+pEU5If9Lhnm0rKyuLedRjxoxBTEwMb5lQKMT48eN5NXB7yosvvojk5GS8/fbbOHHiBHx9fXH69GmcOXMGkyZNMpt6PT09HUuXLkVERAS2bt3KLd+yZQvi4uIQFRUFDw8Pbrat06dPQyKR4P333+dmCSOkJadPn8bhw4ctrrO3t0d9fb1ZGa4rV67g559/xoMPPtgTTSRdSFXLIv47HeI3a1Fx1ZRaEHFjA2kdGL9kuA87gcDAQFy7eh26SyNgXToTkoZhYCAAyoDUbAPYkxJMfcwAvwhBnwvcSP/j5+eHvLw87u+kpCTMnTvXYgnbmpoanDlzhrds6NCh3d5GQgaaDgfbXl5eyMnJMVs+ceJETJw40Wy5m5sbEhISbq51neDq6oqff/4ZH3/8MY4dO8blmq9atQorVqxod+7cjBkzUFdXh/PnzyMhIQF6vR5ubm64++67sWzZsj4xOQHp21iWNevRFggEmDVrFqZPnw4HBwdoNBokJyfjl19+4d3MHj9+HPPnz6eBk/3ItQwDPluiQk1xK+U+1XZA1ixIC2ch8hExdKe0UNaYB9J6tRApO/VI2amHb7gAj34phXtg9+VtsyyL3Nxc5OXloaGhAWKxGG5ubhgzZgylNA0QkyZNwsGDB7m/lUol1q9fj+XLl/M+ZyorK7Fx40be4E+hUEi/5BJyExi2gwWg3333Xfzwww/4/fff2zXA8L333sO2bdt45ZAI6YtYlkVNTQ0cHBy6tAcxLy8PH374IW/Zgw8+aHHsQ3FxMd555x1eL/edd96J2NjYLmvPQNNd5+1mXMsw4KM7lFC3r4R/h8kdgGd3yjF0bNcG3EajEYmJiTh8+LDFAXASiQSRkZGIjY1tV03Z9upL566jKisrUVJSAq1WC5lMhiFDhvSbXzk/+eQTs1+cRSIRRo8eDTc3NxQVFSEjI8Ps17bIyEgsW7asX5+3Wx2du97R4Z7t++67Dz/88ANWr16NTZs2tVllJD8/v1Ml9gjp70wDaU1cXFwwadIki9t6enpiwoQJSEpK4padO3eOgu1+QFXH4vMlKsuBtk05YFsOKB2AWs+bPoayBvhssQqvHpZj0JCuqWyh0WiwYcOGVtP9NBoN4uPjkZqaiqeffvqW/UWPZVmcO3cOR48excWLF7llBoMBQqEQ48aNQ1RUFIYNGwaJRNJiMMOyLLRaLfR6PaRSaY9XmVmyZAnee+893q9oer0eqampLT7G0dERixYt6onmETLgdDjY9vf3x7Jly/DVV1/h8ccfx0cffQQXFxeL2xYWFiIxMbFbJpohpL9oPlPXqFGjWu1RCA0N5QXbNNNX/5C4VYfqZqkjQ8cJUOOzBdWCc8Bfp3zB1CeR/XMgLhw1n5J6eIwQ0pFnce7aL4DeCigKgTh/GnS1N3pMFZUsdr+pwYpvzHNsO8poNLYZaDfV0NCATz75BC+99NItV4VJqVRiw4YNuHjxIliWRV1dHUpKSlBRUQGVSgWlUomdO3dCIpFg6NChGD9+PMaPH4+pU6dyr1VZWRmOHTuG5ORkbh4IhmEQEBCAmJgYjBkzpkdmZ3Z1dcWzzz6LTz/9lFdDuyWOjo547rnnBtSESoT0pJt6V7/44osoLy/HL7/8gjlz5uCee+5BbGwsb+R1eno63njjDej1etx9991d2mhCCOlLjEYWR75SoWmBJ4lHKTzvT0HRmSywGhbMX9G2k58GIbOEZsG2WAo8tV2G3w6WARV1jQuHH0XwXQrojjzA2/7s//SoKTHCwaNzvdvHjh2zGGi7urrCz88PNTU1yM7O5tWPVqvV2Lx5M15//fVb5mdojUaDdevW4erVq9Bqtbhw4QJqa2uh1+tRU1PDy2tWq9W4cOECrl+/jpqaGiQkJCA0NBRyuZw3G6OJKU8+NzcXjo6OWL58eauTpHUVX19frF69Gr/++itSU1MtTswjFosxYcIEGjdCSCfd9C30v//9bwQEBODzzz/H5s2buanbHRwcoFQqoVKpwLIs7rjjDsyePbsr20xIv2Jvb8/7OyMjA/fee2+LgUp6ejrvb+pN6hosy+LKlSvIzc2FSqWCSCSCu7s7QkNDb2rSLZPS0lJ88/4RVObfwVuuGb4Lx09eRlpaGgwGA/z9/WFvb4+0tHQUfhtith+dGji7T4f0i/zz7+Rig7lfSbF6dAO0ysZlRn1jT/rcl29+rgCWZc0q5FhbW+Phhx9GaGgod31WVVVh69atyMrK4rYrLCxETk4OgoKCbvr4/cmOHTtw9epVaDQapKWlQa1WQ6fTobq6usX3cXV1NY4fP47w8HB8+eWXUKvVGDp0KGQyGZydnS1ec9XV1fj444/x5JNPIiTE/Brpas7Ozli2bBnuuecepKSkoLCwEGq1mstBj4iIoFJ/hHSBmw62GYbBY489hjvuuAM7d+7EH3/8gatXr6KiogJAY6H/+++/H0uXLu2yxhLSH40ePZo3+r+8vByJiYktDpBs3vs1evTobm/jQGY0GnHixAkcOnQIRUVFZuvlcjmioqIwe/bsDvfeXb58GZ9++imUGaH8FdaVwKDLABoDmsuXLyMjIwNBQUFIPZ4L5Bot7A1IPVyEYvBr/Y8ePRq2gwQYv0iM49t03PLseAPmvtyh5vJcvHgRZWVlvGWPPvooRo0axVvm5OSEp556Cm+++Sb3+Q4A8fHxt0SwXVdXx02Qdv78eajVagiFQuh0Ori4uIBhGBiNRiiVSl5KhsFgQElJCQ4cOMClhigUCjg6OiIvLw+DBg2Ct7e3WZ11vV6PjRs34vXXX2/XnBZdwdbWFjNmzOiRYxFyK+p0cpiHhwdWrVqFVatWgWVZVFZWQiqVmn2AEHKr8vf3h5eXFy/Q2759O8rKyjBjxgyu9N/Jkyfx66+/8ioACIXCFgdTkrZpNBp8/fXXZr8WNKVUKnHo0CGkpKRg1apV8PHxade+Kyoq8Nlnn0GpVAK6Zj3MNhVcjrabmxuuXr0Ko9GIixcvQjp0KFoaMp5+NhsYc+NvV1dXBAcHAwACJwp5wbaiskOFpMzk5uby/vbw8GixN1UsFmPatGnYsWMHt8xSCdiBKDExEQaDARUVFVAoFBAIBHBxccH169dhZWWFwYMHw9nZGS4uLmBZFn/88Qeqq6tRV1cHvV7PpeCIRCJoNBro9Xr4+vrC1dUVEokE48ePR1lZGW/yGI1GgwMHDuDhhx/uradNCOlCXToSg2EYs6ldCbnVMQyDOXPm4Ouvv+aWsSyLgwcP4uDBg7Czs4NCoTArswU01q+nXMmbYzQasXHjxnaXHa2rq8OaNWsQEhIChUIBjUYDmUwGHx8fTJo0CQEBAbyUgT179tyo5iDiz/RpL/bF5LlzkZSUhKqqKnh6eqKwsBAsy6KgIB8tzgcp5E+FPXv2bO6Yeh0/uGY6WYyk+eRkfn5+reZgN58u3tLkZgOR6UbNNLvwoEGDUFVVBalUyg1odHR0hL+/PwoLC2E0GlFTUwOgsZ6+Xq+HXq/nerednJzg5+fH7f/UqVNYtmwZ0tLSeNVATp06hbvvvrvflBMkhLSs+4c9E0Iwbtw4XLlyBYcOHTJbV1f312A4IwOUBAPXwoAGJ1gJrVFS6IqdF9WY9JC4WyczGYiOHTtmMdB2dnbG0KFDUVNTg0uXLoFlWVRXVyMvLw8qlQoXL15EWFgYGIZBTU0NSkpKcPLkSQwePBgPPvgg91jezHq25bxj1BZKMMorFrHvxuLHH3+E0WiEQqFATU0NarWFLTfa5sZ+Jk+ejOjoaO7v84f4Ayrt3Do3OLF51QtTdYyWcNfpX8RicaeO31/U1dVBo9FwVYGsrKyg1WoRHBwMlUqF3NxcBAUFoaamBgqFAvX19bxebKAxpUQsFsPBwQEqlQpGo5E3sdr27dvx8ssv49y5czAYGs+zTqfDuXPnLE4WRwjpXyjYJqQHMAyDe+65BxKJBL/99ht/pZEB8iYCOTGA8saEIVoAuWUscpN0+PMzHYbHCHHnaxL4jaeguy0sy5rd2Mjlcjz00EMYM2YM14NbVlaGd955B5mZmdzP/fX19aivrzf7RaGwsBBr167FE088geLiYt4vEWKva7DxAqqbpITvflOD53bLcN999+HChQtgWRbZ2dmNpeJk2ZCpmuU7C7XA4AwAwKxZs3DXXXfdaOdlI87t41eLGHVb5z6+m+cDZ2Vlob6+vsV5EZKTk3l/t1TydSBSq9XcvzUaDQQCARiGQXp6Oi9t0tT73bRutunfYrEY4eHhsLa2RmRkJE6dOsXbZ3p6OoKCgngDUZvmyBNC+q+umRWBENImhmFw5513Ys2aNZg8eXJjNQKDCDj5EHBuAS/QtuTiscbZCZN/1rW6HWkc/Fdezu9tXrZsGcLDw3mpEpWVlVCr1WaVIUxBU3M6nQ4bNmwwm6gofGwYpjzK30d2ggGfLVahLI/FxIkTIRQKERwcjNCAGAhEFnqlbaoQPWUcXnvtNdx99903qoEUGvHlgyoYm3Rsi2VA1H2d61keO3Ysr3dbr9dj+/btXM9qU+np6Th9+jRv2YQJEzp1/P7CwcGBV/qwtrYWBoMBFy9ehNFo5F5DvV6PsrIyLjBnGAYCgQBisRgMw6C+vh5KpRIikQjz58/HmDFjeMeJj483q/xh6VwQQvof6tkmpIeZ0hHuuutufLm0HtmF0nY/1qADNj+phsQGCIu9NX7GvxnZ2dm8vz09Pc0G/7Esi59++gkCgQCenp64cuUKgMbyd6aB39euXUNCQgIqKyu5x+l0OqSkpMDZ2Zlb5u7ujikLrHDoSx1v4GLWYQPeiFTCbcQ4QCkBo3SEQ7kfwFro56h1R/bHC+FaLYYqQg91PZD+ux7JP+ugU/M3jVoihty+c2kkNjY2GDduHK/6zdmzZ/HOO+9g+vTp8Pf3R01NDU6ePImUlBTeY8ViMaKiojp1/P4iPDycN8C2rq4O9fX1cHR0hEgkgkKh4HKybW1toVKpoNVqoVarwTAM7+YuOzsb7u7usLGxwezZs3H27FluXVVVldkEM1RogJCBgYJtQnrJmV1CZMeZB9o+YwQYu0AMOxcG1zIMOPmTHg1VNwI41ghsXqnGP8+JYOPUPZOKGA0sLsYbcPWMAapaFmIpAydvBmGxItg49/0fxJoP3ms+uBForMZRUlIC4EYt9MGDB2Po0KGwsrJCSEgIQkJCcNttt2Hz5s28n/3Ly8shl8shkzXO4lhcXAwbJwZPbpPi44Uqs+C4NEsKYHyb7a4sYPHLO9pWt3H1Z7Bgzc3X127qjjvuwNmzZ6HR3BiYWVJSgu3bt7f6uDlz5vSJgXtarRZXrlxBfX09hEIhnJycMGTIkC6dbCcqKgp79uzhcrUFAgHq6+thNBq5VBqhUIghQ4YgISEBEokEarWae31MAbRAIEBlZSXkcjnkcjl8fX0hEom4vO6ysjLIZDJe+tLw4cO77HkQQnoPBduE9AKWZRH3OT+oktoCyzfKEDr7xtsy6j4xFqxhsesfGhz9+kb6iLoeSNquw22rbn4yFkvU9SyOfaNF/GYdKvLNS8v98JIG4xaKMPMpK3iP6ru5401zZgHLg/+OHz/O/Vun00Emk2Ho0KFgGIaXXiEUCvHQQw8hKyuLC+JtbGxQWloKX19fAI09wjU1NQiY4IDndsnwxQMqKGva0U4xYDQ03kC1h6sfg+d2yWHt2DXBpKurK1auXIkvvvgCOl370pMmTJiA2NjYLjn+zSorK8ORI0dw4sQJqFQq3jpXV1fExMRg0qRJkErb/6tRS6ytrTF16lTk5eWhoKAAGo0GQqEQDQ0N0Gg0kEqlSEhIwPnz52EwGNDQ0MC1ydXVFQqFAiKRCAzDwGAwIDMzE6WlpbC3t4der4fRaERpaSkuXbqEsLAw7ri+vr4YMmRIp9tPCOl9fb+LipABKDfJgOKL/AjroXVSXqBtYiVjsOQDCUbdxg8gj32jhdHYuVrLTV3PNeKdKQ3Y/abWYqANAHoNcPJHPf45VYnDG1rvge1NzQfvZWZmNtbDbsLUqw00Bm/u7u5cj2jzx0skEowbN477283NjTdoTq/X46uvvkJ9fT2GRYvw5glr3P6cFWycYZGV3IiY5WK8edIaL+yVYXBI6x/FAhEQcY8IL/8hxyCfrv3YHjFiBF544YU2J1ARiUSYN28eHnnkkV6dpj0pKQlvvvkmDh8+bBZoA43ncseOHXjzzTdRWNhK5ZcOWLhwIWJiYrhSfk3ztDUaDaqqqpCdnY38/HxUVVVBrVZDq9VCp9NBIpFw2wsEAtTW1uIf//gHVq1ahfPnzyM5ORm5ublgWZZ3czBz5swuaTshpPdRzzYhveDs//iVJVz9GYTf2fLbkWEYzHlBgoyDNwLGiqssCjOMGDK68z3M5VeM+ChWifqK9gXvrBH46RUNDDpg1jNd27veFcaNG4edO3dyFUN0Oh1++OEHPProo1zJNa228WahqqoK5eXlvDkCLA3+a7peLBbD09OTtz4vLw+rV6/GuHHj4O3tDV1wOdg7zgC5Q4Bad0AvAURaOPuwWLN+IWR2je1w9RPg1SPAsd35OP2jCGVZ1tA2iCCWCODoIcSYeSJMekgMB4+uCbJVKhVycnK4UnYODg4ICgrCW2+9hczMTMTHxyM3N5ebKdHV1RVRUVGYOHFir+cQJyYmYuvWreYr6lyBy5FAlTegkwECPaqtq/F+9u94+eNYePt4mj+mA0QiEV566SUoFAps2rQJQqGQSwFhGAZarRYsy3K912KxGCKRCHV1dRg2bBguX74MlmVhb28PlmWhVqtx7tw57hoEGutvm4LyCRMm8G7uCCH9GwXbhPSCmhJ+UDt6jggCQeu9hX4RAtgOYngBcXUxiyGdnM3doGPxxQMqi4G2x3ABhoQKUF/JIifBAH2zzuydazQYMlqAoMl966PE3t4e4eHhvAoaKSkpuH79OmbMmIGhQ4dCoVAgJycHpaWlABpza11cXFoc/FdQUMD7OyIiAsXFxbz601qtFklJSfwHetcA3o0D7MRiMVb8/e9coK1QKHDkyBHEx8c37scFQEzjw/QCAYLDwzFixgw4ePihs0pLSxEXF4fk5GRejjYASKVSREdHY8aMGXjmmWcANE4K1HyAX28qLi42zyWvHAJkxAJlAeYPqPaGtjAU/5qowPwX1bhtlQRCS1Vg2kksFuOf//wnSktLeeU7TTd0AoEA1tbW0Ol03A2dtbU1l99vZWUFgUCAuro6nDlzhsvVNvHw8AAAREdH48EHH+wzrzshpPP61jckIbcIvZYf2Mrs2v5iZRgGUlugvknp3eb7uRnn9utRfIGf0jI4RID7P5LCL0LAfenXlRvx+8daHPqCn9v721ptnwu2gcbBf2lpabxc5IKCAmzevBkAcOnSJVy/fp1bd/36dQwZMgTz5s0zK8FWXV3NqxwBACEhIbjnnnuwbt06swlfLBGLxXjiiSe4PO+rV6/is88+a3EyGaPRiNOnT+P06dOYP38+YmNjbzoAS05OxnfffddiKTm1Wo3Dhw8jISEBjz32GMLCwniTrvQFcXFx/FlW88eAOX0fWEPr7TQ22OCXt3XIO2HEE9/KYCW/+SDWVC9frVajoKAApaWlUKvVcHZ2hlqtBsuyqKyshEgkgrW1NSQSCerq6iCXy8EwDBoaGiAUCs3GFDg4OCAiIgIzZ87kJlQihAwcfe8bkpBbgNyB/2V65XTb9XTryo2ouMoPrruiGsmxb/jBs6sfg7/vl5vdANi5CHDvP6WQ2jDY/8GNLu6Lxwy4nmuE+7C+FZx5enpixYoVWL9+vcUg08MhCHVX7MFABJ2gDir2GhoaGjBlyhTedpWVldiwYQOvJ1IkEmHChAmwtbXF6tWrsXPnTpw5c4YfDDYxfPhw3H333fD29gbQOEHOf//7X17ed2v27t0LlmUxd+7c9j59zqlTp/DNN9+0a1udTof169fjqaeeQmhoaIeP1V2USiW//GDxCCDlfrBs+6//zD8N+Gq5Ck9uk0EgvPn3TXR0NPbu3YsRI0YgICAA1dXVcHR0RHR0NHQ6HaRSKX7//XeoVCqUlZXxrglbW1uMHTsWKpUKarUaRqMR7u7ueP311+Hv73/TbSKE9G0UbBPSC/wjhTj5443gLTPOgIoCIwYNaTlgTfxOhyZza0AkAbxDO5evXXXNiOwEfiA69/8krfa0z/mbFY5+reOVIzz5o67LytF1pdDQUDz//PPYvHkzqqqqAL0IuDYGyIuGvNobTacVMYhqIbh6Cq8+9z7Con3h7u6Oa9euISMjwyyIHj9+PDfToqOjIx5//HHU1NQgKSkJV65cgUqlgkQigZeXF6KiorgUAaCxx3rDhg0WA213d3fIZDJcu3bNLM3gf//7H4KCgjBs2LB2P/+qqip89913ZssZhoG3tzdYlkVhYSFv0haWZbFp0ya8++67Lc4m2dOys7Nv/EKhlQHJS4BmgbbtIAaRi0XwHiXE+bNXkLJLDVQM5W2T/rsBx77RYdrjNz/OwM7ODuPGjUNycjKsrKzg5uYGADhz5gxCQ0Ph4uKC6Oho/Pzzz2a/eDg6OsLa2porCzh69Gg88sgjZr+kEEIGFgq2CekFEXeJsXONBpq/5rBgjcB3T6ux6ifLP3NfPWvAgf/yE6bHLxJ1emKT63n8IFIsRasDNRu3YTBugYjXI156qZ2163pBYGAg3n33Xfz2bQ4OvOkEg8JyYCPU2wMXZ0KfPR2nsw8DIfsBxjxNx8nJCYsWLTJb7uDg0K6SeGlpaSgrK+MtGzZsGJYsWYLBgwcDaOzJjYuLw2+//cYLhOPi4joUbB89etSspN/EiRMxb948ODo2zlhaWVmJPXv28OqIq9VqHD9+HLNnz273sbqTaTAnAODqOEDHP4cxy8W4510JxNLG98OouV5IqX4BKB0GJD3E2/7wBi1ilovbHCPRmkWLFiE7Oxs1NTXcMqPRiHPnzuHcuXMAGtOM6uvrUVxcjKqqKjAMg4CAANja2iI8PBwxMTHw8vK66TYQQvoPCrYJ6QVSWwYT7hXzAtacRAPejWnA7c9LMH6hCFZyBhX5RhzbpMXhjTro+WPaELO881VAtEp+MGnvzkAsaTsIcR7C30at6LoShN0h43cjfntlMIz6trcFKwAuzASUDkDET7yA28nJCc899xxv4pGOOnbsGO9vDw8PPPfccxCLb8wIKpfLMX/+fAgEAvzvf//jlqelpXFpC23R6/W8WuJAY4/8Qw89xMsJdnZ2xvLly6FWq5GRkcEtj4+Px2233dYncre59rIMkBfNWzdihhD3fSjhPScubcgtF4j8EUhcxq0ru8Ti4jEDRky7+a8/BwcHPP/881i3bh2qq6tbbLOdnR3s7OxgY2ODJ598kpvIhhBya+n9T1FCblGxf7eCnSs/aC3NY7HlGTVWeSnwjGc9XgtrwMFPzQPtCYtFGDq28yX/JNb849eUsNCq2g6cy6/wt5Ha9N0BXQVpBnz9mNpioM0IAElLEyHmjwPOzwLQOLhx8uTJePXVV+Hu7n7TbdHr9WZTyd9+++28QLupmTNnQiK5kZ7DsiwuXLjQrmMVFBSYTf89d+5ci4PvGIYxywevrKzkKrX0Nu7mos4NUPBroM/5m5XZc+INZvXIAuxL+Ov3tueuq3UeHh5YvXo1Jk2a1OL5EwqFiIiIwOrVqxEQEECBNiG3KHrnE9JLHDwEeOYnGT5eoISy1ny9zny+DgDA8BghHlzX+ZnxAMA9kH+/rdcAp/foEX2/5eABaOwNT/2Fn5rgEdR379t3vaExmz7dP0KA256zQujtIgiEDIovGHDkKx0SvtOCNd4I3JiLM3Hni26ImR3eJXm1SqXSLP87ODi4xe2lUimGDh2Kixcvcstaql7SXPPtHBwcWr1R8PHxgUQi4ZUFrK+v5+Wb95agoCDIZDKoSux5y+X2wLBo/k2nQqHAgQMHbixgANewCpQdu/E8qku6Ju3Jzs4ODz30EO666y4kJyejoKCAy9cfPHgwN4iWEHJro2CbkF7kEybES7/LsfERNUqy2w4AJi0VY8kHknalerSHo6cAI6YLkXX4xiDJfe9pEDpb1GKlk/+9p+HdHDAMELWk5eC8N13PMeDiMf4A0Kj7RVj6qZSXs+sZLMQD/xEi9HYRPr9PxQ1EZY0CGC+Nh1zeNYM/m5d8A2BW87q55gMpLe2jPcdqOvGKJUaj0Sy/u73H6m4SiQTR0dE4dInfQ61lFcjLu46AgADo9XqkpqZi7969Zqkdw0Z4o6xJ9o6h8x3bPHK5HNOmTevanRJCBoy+2x1FyC3Cc7gQ/zgux1PfyzByhnlwI7MDpq8U461kOR5aJ+2yQNskZjk/UK68xuKD2Upkxul508FXXTNi63NqHPyUH5CNnCGEy9C++VGSsIXfVmsnBvd/KG1xcNyo20WIup/fB5HwrY43SLEzZDIZLy0EAFJTU1vcvrKyEvn5+bxlTk5O7TpW8+2USiWvh7y5tLQ0s1739h6rJ8yYMQMiOX+QsL7OBh+9vRFPPfUUnnnmGWzevBmVlZW8bXx9faEocOYts+7kwGJCCOkI6tkmpA8QCBmMniPC6DkiKKpYVBcZoVU1/kzuMlQAkVX3BQeht4swJEyAgnM3Aq3SXCM+vUcFp8EMvEcJUV9hxJVUI9hmne+MAJjzYt+brt3kyil+r/aEJaI2JzWJWW6FpO03uj6ri1lUF7Jw8u78ORAIBBg7dixvlsk///wTERERvOnggcae5h07dvACfalUipEjR7brWB4eHvDw8EBJyY3e4F27duGll14yC/iVSiV++eUX3jI/P792DcTsKc7Oznj0b7Px1WENoG/S/kvRMI763eJjHB0dsWT+Snywln8d+E/oGz32hJBbQ9/sjiLkFmbj1Bjg+kcI4REk7NZAG2gM9J/cKoODp/lxqgpZpB3Q4/Ip80AbAO77UIKACX33nr2hhv/30PC2gyyfMAGaZ1o01HRdtZWYmBje30qlEv/6179w8OBBVFdXQ6PRIC0tDR9++KHZrJVRUVFmgXJLGIbB1KlTecuuXbuGf/7znzh58iSUSiUUCgUSExO5acibav7YvmDchFEIieX3biM7BqjwNdvW29sbf3v2/7DnVQmMTWJtKzkQeW/fTHsihAxMffdbkhDSY5wGC/DyATk+W6xC8cW2c8eFYuCB/0ox8YG+HbSImjVPVdd20KxRAM2zRsRdOF+Pr68vQkNDkZ6ezi1raGjArl27sGvXrhYfJ5FIMGvWrA4dKyoqCgcPHuSlVpSWlnJT1rfEw8MDY8eO7dCxesqCv7shc6/yxgKjGDjyJOCfBAScQNB4J0yMnArtpRH4/E4dSvP4vdoR94g7XZ+eEEI6gnq2CSEAAOchAqw+Isf9H0ngGWz5o0FqC0x9XIw3kqz7fKANAI5ezUrC7W97ZNyZ//G3YRjA3q1rPyofffRRbgKb9hCJRFi5ciWcnZ3b3rgJiUSCZ555hpuxsD3s7OzwzDPP9Nkydd6jhJj8cLNrjxUCeZOB319G3nuP4Zu5Adj2nBalefy7JlsXBnNf6rtpT4SQgYlhu2rkDyH9HMuyqKmpgYODQ4sVG24VLMvi8ikj8s8ZoKplIZYycBrMIGSmCFLbvvXatHbejm/XYcsz/Goerx6Sw7eFdBKdhsU/Y5S8yjAjZgjx3M6un05bqVTi66+/xvnz51vdzs7ODo8//jgCAwNv+ljXr1/H+vXrefnblnh7e+PJJ5/scFB/s272PWfQsfjyIRUy/jC0vfFfZHbA83taPvek/eizsv+ic9c7KNgm5C/0IdQ/tXbetEoW/zdSAWXNjWUOHgxWfCuDf0Sz+syVRnz7tNosgHtquwyjY7unl5dlWVy+fBlHjx7FmTNnoNff6FX38fFBTEwMxo8fDyurzvfGGgwGpKen4+jRo8jOzuYGXjIMg5EjR2Lq1KkYOXJkj84Y2Zn3nEHHYsfrGhz9SmeW9tOcR5AAK76VwnM4BdpdgT4r+y86d72Dgm1C/kIfQv1TW+ftl3c0OPAfrdnyYdFChN0hgsQauJRiwOk9erOJhFz9GbyVbA2BsPuvB71ej9raWhgMBtjY2HTJJDot0Wg03KQ3tra27R502dW64j1XftWI+M06HN+mQ0PVja8zhmksSzn1MSuMnCnskXN4q6DPyv6Lzl3voGCbkL/Qh1D/1NZ506lZ/PdOJS6ldGzWQIk18Pf9cgwZTb2h3aUr33MGPYvKAhbKWhZWUsDBU0ADIbsJfVb2X3TuekffHAHTBU6dOoXDhw8jMzMTWVlZUCgUWLhwId57772b2l9CQgI2btyI8+fPg2VZhISEYMWKFZg8eXIXt5wQ0pXEUgZP/yjHF/erkHeyfTm+cnvgye0yCrT7EaGIgasfBQ+EkL5nwFYj2bVrF7755htkZGTA1dW1U/vau3cvHnvsMeTm5mLhwoW46667cPnyZTz22GPYu3dvF7WYENJdrB0ZPL9HhrmvWMF2UMsBmUAEjF0owquHrRE4ccD2RRBCCOlBAzaNJCMjA1KpFH5+fsjIyMDixYtvqme7trYWM2fOhFAoxJ49e+Dh4QEAKCsrw6JFi6DRaBAXFwd7e/vueBqkB9HPa/1TR8+bTsPi7P/0OLdfj5oSFgYdC2tHBv4ThJj4gBgOHgO2D6LPofdc/0Tnrf+ic9c7BmzXzahRo7pkP7///jvq6uqwatUqLtAGAFdXVyxduhRr167F77//jsWLF3fJ8Qgh3UssYRBxtxgRd/f9OuGEEEL6P+rCaUNKSgoAYNKkSWbrTPnapm0IIYQQQghpasD2bHeVq1evAmiseducaVl+fn6r+xigmToDjuk80fnqXwbCeTMYDCgqKkJ9fT0EAgEcHR3h5uY24H/mHQjn7lZE563/onPX9drzOU3BdhsUCgWAxlq0zcnlcgiFQq5ebUtqa2vpwu5Hamtre7sJ5Cb0x/NWV1eHpKQknDhxAnV1dbx1Hh4emDRpEsaOHdtrdbB7Sn88d4TOW39G567rODo6trlNnw62IyMjUVNT0+7tt2zZgsjIyO5r0E2iwZP9A8uyqK2thb29/YDvURxI+ut5S0tLw6ZNm6DRaADAbJbIyspK/Prrrzh+/DiefvppeHp69kYzu1V/PXe3Ojpv/Redu97Rp4PtuXPnoqGhod3bDxo0qMvbYGNjAwCor683u3tRKpUwGAwWe72bogu6f2EYhs5ZP9SfztvZs2exYcMGsCzbZpsrKyuxdu1avPzyy3B3d++hFvas/nTuyA103vovOnc9q08H22vWrOntJsDX1xeZmZnIz883C7ZNudqW8rkJIcSSiooKbNq0yWJqmY2NDXQ6HdfbbdLQ0IAvvvgCb7zxBoRCmmiHEEL6kz4dbPcF48ePx759+5CYmIiwsDDeuoSEBABAREREL7SMENIfHT58GDqdjrcsLCwMc+fOhbe3N1iWRVZWFvbs2YNr165x25SWluLcuXMYO3ZsTzeZEEJIJ1Dpv7+oVCpcunQJxcXFvOVz5syBra0ttm3bhpKSEm55WVkZtmzZAjs7O8yePbunm0sI6Yc0Gg2SkpJ4y8aPH4+VK1fC29sbQOPPuyNHjsRLL71kljZy9OjRnmoqIYSQLjJge7ZPnz6NnTt3AgCqqqoAAKmpqXjllVcAAH5+flixYgW3fXp6OpYuXYqIiAhs3bqVW25vb481a9bg5ZdfxsKFC3HHHXeAYRgcOHAAFRUV+OCDD2gAJCGkXfLy8qBSqbi/GYbBggULLOZOSiQS3HHHHdi0aRO3LCcnB0qlEnK5vEfaSwghpPMGbLBdUFCAPXv2mC0rKCgA0Jj60TTYbs2dd94JR0dHbNy4Ebt37wYAjBw5Eu+99x43sQ0hhLSleXUlDw+PVgd2jx492mxZXV0dBduEENKPDNhge9GiRVi0aFG7t4+MjER2dnaL66dMmYIpU6Z0RdMIIbeojo7+p/r8hBDS/1HONiGE9JDmKWfFxcUoLy9vcfu0tDSzZXZ2dl3eLkIIId2Hgm1CCOkhw4YNM0sB+eWXXyz2YGs0Guzfv5+3LDAwkFJICCGkn6FgmxBCeoiVlRWio6N5y06fPo0vvviCq9tvNBqRnp6O999/H6Wlpbxtp02b1mNtJYQQ0jUGbM42IYT0RdOnT0d8fDy0Wi23LD09Henp6ZDL5dDpdGZ1uIHGwZSWBkwSQgjp26hnmxBCepCzszOWL19ucbCkUqm0GGhbW1vjySefpNkjCSGkH6JgmxBCelhYWBieeuopSKXSNrd1cXHByy+/DDc3tx5oGSGEkK5GaSSEENILQkND8e677yIhIQHx8fGorq7mrff29sbUqVMRGRkJsVjcS60khBDSWRRsE0JIL7G1tUVsbCxmz56N4uJi1NfXQyAQwNHRES4uLh2uy00IIaTvoWCbEEJ6mUAgwODBg3u7GYQQQroB5WwTQgghhBDSTSjYJoQQQgghpJtQsE0IIYQQQkg3oWCbEEIIIYSQbkLBNiGEEEIIId2Egm1CCCGEEEK6CQXbhBBCCCGEdBMKtgkhhBBCCOkmFGwTQgghhBDSTSjYJoQQQgghpJtQsE0IIYQQQkg3oWCbEEIIIYSQbkLBNiGEEEIIId2Egm1CCCGEEEK6CQXbhBBCCCGEdBMKtgkhhBBCCOkmFGwTQgghhBDSTSjYJoQQQgghpJtQsE0IIYQQQkg3oWCbEEIIIYSQbkLBNiGEEEIIId2Egm1CCCGEEEK6CQXbhBBCCCGEdBMKtgkhhBBCCOkmFGwTQgghhBDSTUS93YDucurUKRw+fBiZmZnIysqCQqHAwoUL8d5773V4X0FBQS2ue/HFF7FixYrONJUQQgghhAxQAzbY3rVrF/bs2QOZTAYPDw8oFIpO7c/LywsLFy40Wx4eHt6p/RJCCCGEkIFrwAbbDzzwAJYvXw4/Pz9kZGRg8eLFndqfl5cXVq1a1UWtI4QQQgght4IBG2yPGjWqt5tACCGEEEJucQM22O5qdXV12LFjByorK+Hk5ISIiAj4+vr2drMIIYQQQkgfRsF2O128eBGvv/469zfDMJg3bx7efvttyGSyVh/Lsmx3N490AdN5ovPVv9B567/o3PVPdN76Lzp3XY9hmDa3oWC7HZYtW4Y5c+bAx8cHDMMgKysL//3vf7F3714YDAb85z//afXxtbW1dGH3I7W1tb3dBHIT6Lz1X3Tu+ic6b/0Xnbuu4+jo2OY2DNuHo8DIyEjU1NS0e/stW7YgMjLSbPm5c+ewePHimy79Z4lKpcKdd96J/Px87Nu3D8OGDWtx2z78EpMmWJZFbW0t7O3t23WnSvoGOm/9F527/onOW/9F567r9fue7blz56KhoaHd2w8aNKgbW8Mnk8lwxx134IsvvsCZM2daDbbpgu5fGIahc9YP0Xnrv+jc9U903vovOnc9q08H22vWrOntJrTK9NOBSqXq5ZYQQgghhJC+iKZr74S0tDQAwODBg3u5JYQQQgghpC+iYPsvKpUKly5dQnFxMW95VlaWxZ7rAwcOYP/+/XB0dERUVFRPNZMQQgghhPQjfTqNpDNOnz6NnTt3AgCqqqoAAKmpqXjllVcAAH5+flixYgW3fXp6OpYuXYqIiAhs3bqVW75lyxbExcUhKioKHh4eYFkWWVlZOH36NCQSCd5//31YW1v34DOzTKfTIS0tDUVFRdBoNJDJZPDx8UFISAgEgu67p6qursa5c+dQVVUFo9EIOzs7jBw5sk/09rMsi/z8fFy4cAEKhQJCoRCDBg3CmDFjYGtrC6PRiH379uH06dOor6+HRCKBp6cnHn74Ydjb26O+vh5nzpxBRkYGioqKoNVqAQBOTk7w8fGBs7MzgoODuSo1HdHQ0ICzZ8+ivLwcer0e1tbWCAwMhJeXF86ePYuysjJotVrI5XIEBAQgKCiow8fQ6XQ4d+4ciouLuWvC19cXI0eOhEAggNFoREJCAvbs2YP8/HwYjUa4uLhg9uzZmDNnToeua6PRiPPnz+Pq1atQqVTcaxkWFgaxWNyhdneEVqvFuXPnkJOTA7FYDLlcDl9fX8hkMuTk5KChoQFCoRAuLi4YM2YMbGxszPZRUVGB5ORknD17FrW1tVCpVJDJZPD09IRWq4XBYICrqytqamogEong7u4OGxsbuLm5QalUorKyEgqFAtevX4e1tTVcXFxga2t709fGQMGyLPLy8pCbm4uGhgaIRCK4urpizJgxkMvlvd28PodlWVy6dMnsug0PD+8T3zGk/zEajcjKysKVK1egUqlgZWUFDw8PmiOkF/TpaiSdsXv3brz66qstrm8eVCcnJ1sMtv/880/s2bMHFy9eRFVVFfR6Pdzc3DBhwgQsW7YM/v7+3fo82tLQ0IA//vgDiYmJFgeTOjg4ICYmBjNnzoSVlVWXHTc/Px8HDhxAWloajEaj2Xp/f3/cfvvtGD16dJcds71YlsWpU6cQFxeH/Px8i+urqqqQn58PhULBW2c0GrmASiQSoaKiAnV1dVAoFFCr1QAAkUgEW1tb+Pj4YMiQIQgMDMTMmTMRERHRZmBVXl6O3377DadOnYJOp+OWazQaFBQUoKGhAe7u7nBzc+Pty83NDdOnT8fkyZMhFApbPYZCocDvv/+O48ePQ6lUmq23s7ODTqdDYmIi8vPzodfreesZhoGrqysWL16MZ555Bi4uLi0eS6fT4dChQzh69Ciqq6vN1svlckycOBGzZ8+2GOjeLIVCgQMHDiApKQkNDQ3QarUQi8UoLy9HUVER9Ho9PDw84OXlxd1sikQijBs3DrGxsXBzc8OlS5ewY8cOHDx4EKWlpVAqlVAoFNDpdNDpdGBZFlZWVhCLxTAajbCysoKNjQ0kEgkEAgH0ej0EAgH3b9NHqbW1Nby8vODm5gYfH592XxsDhdFoxPHjx3Ho0CGUlJSYrReLxYiIiEBsbCycnZ1RU1MDBweHW+b1aY5lWSQlJSEuLs7sl1Wg8fUaP3485syZA1dX115ooTmWZW/589aX6XQ6HDlyBEePHkVlZSVvHcuyEAqFmDp1KmJjY2Fra9tLrby1DNhg+1ZQWlqKdevWmb2ZLPH29saqVatgb2/f6eMmJSVh69atFoPs5mbMmIF77rmnxz6QDQYDtmzZgpMnT1pcr1arceTIEdTX1wNovBmRSqXcepVKhdraWmg0GrAsCwcHBy7Ibk4mk8HJyQkjR46Eg4MDIiMj8fDDD7cYDF+4cAHr1683219dXR3Onz/PC74HDRqE4cOHm/0qERwcjJUrV/La3FRJSQnWrVtnMfAFGnuCk5KScO3aNbAsC4lE0uK5EQgECA8Px7p16zBixAiz9fX19fj0008t3tA05+joiOeeew4eHh5tbtuW4uJifPLJJ9xzZFkWarUaV69eRXl5OW9bW1tbhISE8HrXJRIJwsLCcPDgQZw/fx56vR41NTVQq9UwGo3cuWdZFgaDAQKBACKRCFKplLvmTeeFZVkwDAOxWAxHR0fe+Wp6Dtu6NgYKnU6Hr776ihvP0hqpVIqVK1fC3d39lg3adDodNm3ahLNnz7a5ren1Cg4O7oGWtY6C7b5LoVDg888/x+XLly2uZ1kWWq0WVlZWcHR0xKpVq/rEL9EDHQXb/VRNTQ3+/e9/d6gO+eDBg/HSSy+1GKi1R2pqKjZu3Nihx9x222246667bvqY7cWyLLZs2YKkpCSL6/V6Pf78808u0DZxcnKClZUVtFotKisrudQBlmVhNBohk8kgElnOuJLJZHB0dMTo0aNha2uL6OhoLF261OwL6PLly/jPf/7DC6iBxl8m0tLSzHqXgcZgLTg42GxfwcHBWLVqlVngVlVVhX//+9+oq6uz2FaDwYDExEQUFBTAYDAAaAwa2wq4x40bh/Xr12Po0KHcco1Ggw8//BDXrl2z+DhL7O3t8corr8DJyandj2musrIS7733Hu85mlJYWrrBsLGxwejRo7nX6/r168jKygLQ2NttSh2xFGibmAJuU7AtEom4nm3T6ycWi+Hs7Mw7touLC4YPHw6GYVq8NgYKo9GI9evXtyvQNhGJRFixYgVCQ0MH7OvSEpZlsXHjRpw5c6bdjxGLxXjhhRfg5+fXjS1rGwXbfZNWq8XatWtx9erVFrdpGmwzDANbW1u88sorPVo6+VZEAyT7qR9++MFioO3v74/o6Gh4e3ubrSssLMTevXtv+pgNDQ3YsmWL2XJTT+H48eNhZ2dntv7gwYO4dOnSTR+3vdLT0y0G2o6OjoiMjERJSYlZoA009i6ZfubX6/VckGUKuLVaLezs7GBrawuJRAKpVAqpVAqBQACVSgWlUons7Gzu5+DmwYbRaMTmzZvNAm2BQIDq6mo4OzvzboAYhoGjoyOEQqHZY4DGHvKjR4+aLd++fbvFQHvYsGGIjo5GVVUVioqKeEGk0WgEy7Lw9vaGv78/ZDKZWdvT0tLw8ccf837J2Ldvn8VAe/DgwYiOjrZYd762thbbt283W94R33//vdlzrKiogFarhZubGy9VRSqVws3NDVZWVigqKgLQeJOQl5eH6upqVFdXQ61WQ6VScQGDRCKBWCzmeqxN/7Esy50LoVDI5e+bXhOZTMY9xtXVFRKJBEBj2lBZWRkAWLw2BpITJ05YfH4uLi6YMGECN1agKZ1O1+5fyQaa5ORki4H2oEGDuNer+Q21qSf8Vny9SNsOHDhgMdD28vJCdHQ0AgMDzW6O6uvrsW3bth5q4a1rwA6QHMgqKirMvtSGDBmCZcuW8X6mv3z5MjZt2oSKigpuWWJiIubPn39TvdvHjx83S4GYOnUqFi5cyO3PYDAgISEBP/30E+8L4dChQ92e337o0CHe32KxGA888AAiIyOh1Wrx5ZdfwtXVFXV1dVCr1RCLxRg7diwGDx6MyMhIWFlZISEhAYWFhdBoNGAYBkKhEFZWVggLC8O8efPg7++PH374AVlZWaisrIRKpeIC7urqajg5OeHQoUMICwvj2pGRkcEFXCZhYWGIjIzEhg0bADT2NlRWVqKiogJDhw7lgjUvLy8sXLgQ3377LS+//PDhw5g+fTr3wVlaWorMzEzeMXx9ffHoo4/C3d0dGo0GO3fuhFgs5vKRTUH9lClT8N1330EqlaKwsBCvvPIKDh06xJ1rjUaD1NRUZGZmIjQ0FBqNBgkJCbxjOTs7Y9myZQgICOCWXb9+HZs3b+Z9+GdmZqKsrOymck9beo7Ozs6wt7fnempUKhUEAgH3N9DYgzpy5Ej8+uuvUKlU3A1HbW0trK2t4eHhgbq6OojFYnh5eSErKwsNDQ3cNazT6bhfOQwGAwwGA2QyGRc8+vv7IyAgAHq9Hg4ODtBoNCgrK0Nubi6Kiorg6uoKhmHMro2BgmVZxMXF8ZbJZDI8/PDDCAsL486D6Yar6edXRUUFzp8/j9DQ0B5tc2+y9HpJpVIsXboU4eHh3OtVV1eH77//npdmUlFRgfT09AF5HZGbp9PpcOzYMd4yR0dHLFu2DMOGDeN9V3z55Ze88QEXLlxAcXExPD09e7TNtxLq2e6HEhMTeVPAS6VSPPvss2b5sH5+fnjmmWd4d7IajQYpKSkdPibLsmYBVmhoKJYsWcIL3E0DL+bNm8fb9uzZsy2mN3SF0tJSZGdn85bde++9iIqKgkAgwK5du6BQKCAQCODg4MAN0hoyZAgEAgF2796Nuro6sCwLDw8PXqAtEolQWlqK5cuXY9q0aVi6dCmCg4Mhl8shk8kgkUig1+u5wWA5OTm8gWHx8fG8dnl6emLFihW8Xi2GYRAUFIT333+fC7QBoKioCNbW1li2bBlvHxUVFVwqBACzcyOXy/Hss8/C3d0dAJCSkoK8vDwuTxtoTOuIioqCg4MDUlNTATT2TG/YsAFjxozhpc7k5+dzwUFqaiqvHCbDMHjqqad4gTYAuLu749lnnzXrLW/+erRX88fJ5XIsWrSIdzMJAE899RTeeecd3nWv1+sREhKChoYGbtCo0WjkBjw7ODhAIBDAz8+PC5hHjx7N/cJg6jE3Go3coEgrKys4OTlBJBLBwcEBVlZWkMvlGDduHBiGgZubG/z9/aFQKLgbpebXxkBx+fJls8F9S5cuxZgxY3jnwd7eHk888YTZZ9XNXhP9VX5+vtkvQw8++CDGjh3Le73s7OywYsUKeHl58ba91V4v0rYzZ86YFUl48sknzXqzXV1d8fjjj5tVuKFrqntRsN0P5eTk8P6OiopqcUSxh4cHRo0a1erj26O2ttasd/a2225rMV9v6tSpvGDNaDR2aypJbm4u729ra2tER0dzfycnJ/PWm8rsAY03ElevXuVyfoVCIeRyORiG4Z6DVqvlnuuECRNgZ2fH9QLI5XIYjUbU1tZy+8/Ly2uxbTNmzIBQKDRbPm3aNERGRprl/ebm5mLEiBFmX7hNH998X9HR0bwP09TUVO6D2BQouri4cHl6TR9vbW2NxYsX8x6vVqu53rXm18+IESNaHGBjbW2NiRMn8pbdzPXXvI0AMHHiRC49xMTe3h4RERHw9vY2G0h29uxZDBo0iJcCwjAMPD09uV5tNzc31NbWws3NDb6+vpBKpbC3t4dWq+VytnU6HWQyGXQ6HfeYpjeSQqGQm13Wzc0NYrG4xWtjoGh+Tk0lNi0RCoWYPn16q48f6Jo/X0dHR4wdO9bitgKBADNmzDB7PA23Ik01/3wMCgqCj4+PxW3lcjkmTZrU6uNJ16Jgux9qfvfaVnpG8/WWysG1xdJjWjuuXC43+0nqZo7bXs1fEx8fH16w37xXPTw8nPu3qWybKQhjWRZyuZyXL9n0i00kEsHX15eXn27q3TZtZ2qPXq+HRqPhHdv0ulk6jwzDmA1+amhoAMMwZq9308c331fzXuaamhpeWo9MJoOzszN3A9H88aNGjeLdwLEsC6VSCb1e3+nrz1KJyvawdNzmy/z8/LjUDkuvgZ2dHe9cCgQC2NraQq/Xw9bWFgKBADqdDnZ2drCysuIGwJq2NQ2eNPXWm2qTNx3gqlKpuHPYdP+dff59WfP3tulabknzc6NWq3ljCQY6S69Xa/MhNH+9dDqdxUHV5NbV0c/l5tfUQPxc6kso2O6HmlfGaCs9o/n6liprdOSYAMxqVDfFsmyXHLe92npNmtcYLy0t5f5t+pJr+mXXNHAGYHFQSdPBi6YScSamUnNCodDiY5tu03x587abtmtpOdC+59+0HTqdjncT0LwtNTU1ZjcJAoEAQqGw09ffzU5yY+n1aq0tzY8rkUh458wUOOt0OjAMw60zBdymdc1fBwBcoNM0R7xpO5seu+mvIpaex0DQ2WvClJpzq+js6wVgwJeRJB3T/JqyVAygqa76XCbtc+t8ug0gzQeXNU+RaEqv1+PUqVOtPr49HB0dzd7MJ06caHH7nJwcs2op3TkhQ/N9FxYW8lIMmqc5JCcnc0GUQCCAtbU1lzYhEAhQX1/PVSMB+F9sJSUlyM/P5wJ2vV4PnU4HqVTKBVWmiWAYhjGbFMZUA9zS8srKSrOfmF1dXaFQKMwGBzZ9fPPn37zO+NChQ3nnT61Wo6SkhBsE2fzxv/76K+9mSiQSYfDgwVwuclOpqakWq6aYNL8+b/Y6sPR6Nd/X5cuXUVZWBp1Ox+Whm/j6+qKsrIx7HUyzaFZUVEAmk6G+vh5KpRIymQylpaWorKyERqNBeXk5hEIhV+pPKBSioaGBCw6Liop4eekSiYRLFWloaIBCoeCtb22SoP6q+XPKzs5usRQjYH59uri43FIl5Jq/Xrm5ua3Ol9D89Ro0aNAtdXNC2tb8s/DMmTPcr7WWWHoPku5D79Z+aMKECby/8/PzcfjwYbPtWJbFnj17zO5gmz++PUyVO5r67bffLA72UiqV+PHHH3nLTDmw3SU4ONis7OD27du5gPq+++7jvsx1Oh1qa2tx8uRJLm83JiaG+8KvqakxSy2Ry+W4fPkytFottm/fjqqqKpSVlYFlWSgUCkgkEi4ItbW15U0CExkZyWtXUlISLly4YHYeTp8+jQ8++IDXoy6RSDBq1Chs376d97OxaTZEk+b7unz5Mm/AS0xMDDfwU6vVwmg0orKyEllZWTAajbw2HjhwAAcPHuQNgnR2dsasWbMsPp/6+nrs3LnTYg5pfHy82eQKN3P9WXrcpUuXUFNTw5v6m2VZbN26FT/++KPZLy/e3t7QarXcgF7TDVRRURG3LDc3F4MGDUJtbS3S0tJQV1cHrVbL1Vw31ds25WvX1dWhvr6el1Zy6dIlrk53bm4uRCIRl4ff/NoYKMaMGcMb2Gs0GrFt2zaLqQ4XLlww+6KPiorq9jb2JaNHj+YNLGdZFtu2bbN405qdnY3jx4/zlt1qrxdpW/PP5YaGBvz8888WP5dPnjxplqNN11T3otJ//dCoUaPg5OSEqqoqbtlPP/2EzMxMTJ48GW5ubrh27RqOHj1qFuj4+/vf9GxRU6dO5fVSqtVq/POf/8TkyZMRHh4OKysrZGVl4fDhw2YBfkxMTLf2XIlEIkyaNAm//fYbt+zSpUt44403MGPGDAwfPhw+Pj5IT0/n8iVLS0vx22+/YejQoVi1ahW++uorVFZWoq6uDgzD8Ca2YRgGK1asgMFggEKh4NIslEolV3PbFGxPmjSJ14s8efJk7N+/n8uZZlkW69atw5gxY7iAsK6uDkVFRVCpVHBxcYGbmxsXwH/wwQdmNzXh4eG8nOrRo0fD3t6eNxDPVGJt0qRJcHV1xdChQ5GZmckFQDqdDpmZmaiursaOHTtgb2+P/fv348SJE7xAVSAQYNiwYdyAGg8PDwQGBvJ64I8ePYqrV69i2rRp8Pb2Rnl5ORITE5GRkcFrt6nKx80ICwuDnZ0d79r6+eefodPpUFVVBTs7OygUCpw9exY6nQ5eXl6wt7eHXq+HUCjE1q1b4e7ujrKyMu752djYoKKiAg0NDWBZFg0NDSguLkZlZSX0ej1XZ9t0Leh0Oq5HvKamBkKhEFKpFFlZWSgoKIC1tTWUSiVqampQXFwMtVoNLy8vLrBvfm0MFDKZDJGRkbwbvMzMTLz11luYMWMGAgICUFdXh+TkZCQnJ/MCAKFQaDaIdqCTSqWIiorCkSNHuGVZWVm810uhUCAlJQUnTpwwG2fQfHAbIa6urhgxYoRZlar8/HxMmzYNPj4+qKioQGJiIk6dOsVLrbS1tW1xQDPpGjSDZD+VkpKCTZs2degxAoEAL7zwgsUJR9qDZVls2LChXVMLN+Xq6orXX3+d1/PVHRoaGvDWW2/xAs6mSktLER8fb3anL5fLuSCuvr6e6w03Go0wGo2wsrJqsS65QCDAoEGD4OvrC19fX9jb2+Mf//gHb3IVANi9ezf++OMPs8dfu3YNV65csbhvsViM8PBws9dNIpHgtddeM0vnOHHiBL799luL+wIaK8ocPnzY7PUx3Sy0xN3dHe+88w7uvvtubtmlS5fw0UcfdXhyjUceeaRTPShJSUn47rvveMs0Gg1OnTrVYlsYhsHo0aO5wZEZGRncdPWmYNtUBrBppZKm+2s6wU3zm0aJRMIF04MGDeIF003PYUvXxkBRWVmJd999t0MDoVmWxZQpU/DAAw/cUmkkAFBdXY133nmnwwPTempG3tbQDJJ909WrV/Hhhx+2Oni2+QySQGPZycmTJ/dUM29JlEbST0VERGD+/Pnt3p5hGDz00EM3HWib9vHoo492aKpgBwcHrFq1qtsDbaCxzNyqVavM6oeauLm5md29W1lZcekndnZ2kEqlXFtNU3E3H1xpwjAMnJyc4O7uDh8fH8jlcqxatcpiMLVgwQKLpb0GDx7M1cJuSigUYsSIEWavm1gsxhNPPGEWaAONPwPGxsZabCvQWBYvMjKS9/pYWVm1Gmg7OjriiSeewKJFi3jL/f398cgjj3ToizY2NrbTP1VGR0ebPUcrKysMHz7c4oAxU/1y0zlmGAYjRoxAWFgYVwHCycmJK/NoGiTUfMCeUCiETCaDSCSCQCDgJrSxsrLijuvg4MALtE0T6UgkklavjYHC2dkZTz31VIfe6+PHj8ecOXO6sVV9l6OjI55++ukOTTAWHh6OhQsXdmOrSH9mmsisI/n8t99+OwXaPYB6tvu548eP4+effzab2bEpOzs7PPTQQ102Q5tWq8X333+PkydPtlrrddiwYVi+fDlXOq2nlJaWYtOmTcjPz7e4vqCgAGfPnoVQKDTL8zYYDNzEJ3K5HDY2NlAoFGa9dSKRCE5OTvD19YWPjw98fHywfPlyi4GzidFoxK+//oo///yTV+aMZVlcu3YNBQUFMBqNkMvlGD58uFlg5urq2q6bnfj4eOzatavFa6K8vBynTp1qtZoMwzDw8vLCq6++iiVLlrT44Z2ZmYmtW7eaDYZtSiqV4q677sKUKVNabXdHNH2Opp4anU6HnJwc7nlJJBIEBgbyrj9TzeI5c+Zg69at2LNnDwoLC6HVarlc/aY93EDjayGRSCAQCLj662q1GjY2Nly1EtMMlibW1tYYPnw4rK2tMWTIkDavjYGkoKAA33zzTauT9wiFQtx+++2YO3cu6urqbuke0sLCQmzatMlsUqCmhEIhZs6ciQULFvSJgZHUs923XbhwAd99953FQcqmz0tbW1ssWrQIU6dOpXPYAyjYHgBMs0ImJiaiqKgIOp0OEokEPj4+mDJlitlsgF2loqIC8fHxOH36NKqrq7mf5UNCQjB16lT4+Pj02puYZVnk5eXh2LFjuHDhAlc9wtnZGREREZgwYQLi4uKwc+dOXLp0CRqNhgug582bh4ULFyIrKwv79+9HVlYWKioquIDb1tYWgwcPhr+/P0aPHo2pU6ciICCg3c+1rq4Ox48fR3JyMsrLy6HX6yGXy+Hr6wsbGxsUFhairKwMer0eMpkMAQEBmDJlCkJCQtr9RatWq5GSkoLjx4/zromhQ4di8uTJCAkJwdGjR/Hll1/i3LlzUCgUYFkWUqkUAQEBWLp0Ke69916zmxFL9Ho9zp07h4SEBFy5cgUajYab9nzixImIiIjoUO9de6nVaiQnJyMxMRFXr17lgmJra2sIBAIolUqoVCoIhUIMGjQIEyZMwMSJE2Fvb8/to7S0FL///jv279+Py5cvo7a2Fmq1mgusxWIxxGIxhEIhN/umi4sLN5jWNBCyqKgI1dXVkEqlcHNzg5eXF0aMGNHha2OgYFkWWVlZiI+PR05ODpRKJUQiEVxcXLjzYGtrS0HbX1iWxcWLF3Hs2DFkZ2dzr1fT67Y978WeQuet7zMYDEhLS0N8fDyuXLkCtVoNsVgMDw8PhIaGYubMmWaz+5LuQ8H2AMSybI9/AJouo776wdtW+0yDIC19gTSvt92Vz7W1fXXleWxrX6b8ZEs5yV19rK5m+uK3t7c3uxnpyLky1d02vQZNH9v0OTV/fs23a+/xbiUtXRMUtFnW168jOm/9j+k9SOeudwy8YfGkV95Aff1N21b7TLMDtuexXflcW9tXTx0HQJf+NN1b14Kl43akLc1vNNrz77bWkUb0unQMvV6kq9E11bt6P/mLEEIIIYSQAYqCbUIIIYQQQroJBduEEEIIIYR0Ewq2CSGEEEII6SYUbBNCCCGEENJNKNgmhBBCCCGkm1CwTQghhBBCSDehYJsQQgghhJBuQjNIEkIIIYQQ0k2oZ5sQQgghhJBuQsE2IYQQQggh3YSCbUIIIYQQQroJBduEEEIIIYR0Ewq2CSGEEEII6Sai3m4AIX2RUqnEn3/+icOHD+PixYsoKSmBlZUVhg8fjiVLlmDu3Lm93UTSglOnTuHw4cPIzMxEVlYWFAoFFi5ciPfee6+3m0b+kp6ejk8//RTnzp2DTqdDQEAAHn74YcybN6+3m0Za8OuvvyI1NRWZmZnIycmBTqfDv//9byxatKi3m0ZaUVpaigMHDiA+Ph6XL19GRUUF7O3tER4ejsceewyjR4/u7SbeEijYJsSC06dP4+WXX4aDgwOioqJw2223obKyEn/++SdefPFFnD17FmvWrOntZhILdu3ahT179kAmk8HDwwMKhaK3m0SaSE5OxvLlyyEWi3HHHXfA1tYWBw8exN///ncUFRVh5cqVvd1EYsG6detQVFQER0dHuLq6oqioqLebRNph69at+OqrrzBkyBBER0fD2dkZ+fn5iIuLQ1xcHNauXYvY2NjebuaAR3W2CbHg4sWLyM3NxezZsyEWi7nlFRUVuPfee1FUVIQdO3YgNDS0F1tJLMnIyIBUKoWfnx8yMjKwePFi6tnuI/R6PebMmYPr16/jp59+wogRIwAACoUCS5YswZUrV7B//374+vr2bkOJmaSkJPj4+MDLywsbN27E2rVrqWe7Hzh48CCcnJwwbtw43vLTp0/jkUcegbW1NRISEmBlZdVLLbw1UM42IRYMHz4c8+bN4wXaADBo0CAsXrwYQGO6Aul7Ro0ahWHDhkEoFPZ2U0gzJ0+eREFBAebOncsF2gBgY2ODp556Cnq9Hrt37+7FFpKWREdHw8vLq7ebQTrotttuMwu0AWDcuHGIjIxETU0NsrOze6FltxYKtgnpIJGoMfuKgjlCOiYlJQUAMGnSJLN1EydO5G1DCOlepu8y0/9J96Fgm5AOMBgM+OWXX8AwDKKjo3u7OYT0K1evXgUA+Pj4mK2zt7eHo6Mj8vPze7hVhNx6iouLkZSUBBcXFwQGBvZ2cwY8CrYJ6YB169YhJycHixYtog8oQjrINFjV1tbW4nobGxvU19f3ZJMIueXodDq8/PLL0Gq1+Pvf/06/0vYA+u2ADGimnLT22rJlCyIjIy2u++mnn7BhwwaMGDECr732Whe1kFjSleeNEEJII6PRiNWrV+PUqVO49957sWDBgt5u0i2Bgm0yoM2dOxcNDQ3t3n7QoEEWl+/atQtvvPEGAgMD8c0338Da2rqrmkgs6KrzRvoWGxsbAGix91qhULTY600I6RyWZfH6669j7969mD9/Pt56663ebtItg4JtMqB1RS3snTt3Ys2aNQgICMB3330HR0fHLmgZaQ3VMB+YTCX98vPzERISwltXW1uL6upqjBkzphdaRsjAZjQa8dprr2H37t2YO3cu3nvvPQgElEncU+iVJqQVO3fuxOuvvw4/Pz989913cHJy6u0mEdJvjR8/HgCQmJhotu748eMAgIiIiB5tEyEDXdNAOzY2Fh988AHlafcwCrYJacGOHTt4gbazs3NvN4mQfi0qKgre3t7Yt28fLly4wC1XKBT44osvIBKJsHDhwl5sISEDS9NAe/bs2fjwww8p0O4FNIMkIRacOHECjz76KFiWxeLFi+Hi4mK2TXBwMGbOnNkLrSOtOX36NHbu3AkAqKqqwrFjxzBkyBCMHTsWAODn54cVK1b0ZhNvaSdPnsRjjz0GsViMuXPnwsbGBgcPHkRhYSGef/55PPnkk73dRGLBjh07kJqaCgDIycnB+fPnER4ezpVxnDlzJn0e9kGffvopPvvsM8jlcixdutRiTe2ZM2ciODi4F1p366CcbUIsKCkpgek+9KeffrK4zcKFC+nLpQ8qKCjAnj17zJYVFBQAaExToGC790yYMAHff/89PvnkExw4cAA6nQ4BAQF47rnnMH/+/N5uHmlBamqq2fvqzJkzOHPmDADAy8uLPg/7oKKiIgCAUqnE+vXrLW7j5eVFwXY3o55tQgghhBBCugnlbBNCCCGEENJNKNgmhBBCCCGkm1CwTQghhBBCSDehYJsQQgghhJBuQsE2IYQQQggh3YSCbUIIIYQQQroJBduEEEIIIYR0Ewq2CSGEEEII6SYUbBNCCCGEENJNKNgmhBBCCCGkm1CwTQghhBBCSDehYJsQQnqQ0WjE/Pnz8fjjj/d2U7pcYWEhgoKC8Morr/Sp4/d2u9pqR35+PkaMGIHt27f3UssIId2Jgm1CCLFg3rx5CAoKQlBQEE6fPm1xm9raWkRGRnLbXblypc397t69G9nZ2Vi1atVNtSs5ORlBQUH49NNPb+rxpO/x8fHBvHnz8Nlnn0GhUPR2cwghXYyCbUIIaUaj0eDy5csQiUQAgOzsbIvbffLJJ6irqwMAWFtbw9fXt9X9GgwGfP7554iIiEBoaGiXtpm0zM3NDb/99hteeOGF3m5Ki5YvX46qqips2bKlt5tCCOliFGwTQkgzFy9ehF6vx+TJkyEQCJCTk2O2TU5ODn744QfExMQAAIKDg8EwTKv7PXbsGIqLizF//vxuaTexTCwWw9/fH66urr3dlBYFBgZi+PDh2LFjB4xGY283hxDShSjYJoSQZs6fPw8AGD9+PIYMGWIx2P7Xv/4Fa2trzJw5EwAwcuTINve7Z88eMAyD22+/3eL6P/74Aw8++CCioqIwatQoxMTEYPny5YiLiwMAfPrpp1i6dCkA4LPPPuPSV4KCglBYWAgA0Gq12Lp1K5YvX46YmBiEhIQgKioKzzzzDLKyssyO2TQt5fz581i+fDnGjBmDsWPH4umnn+b225TBYMDGjRsxa9YsjBo1CrNmzcKGDRvAsqzZtp1pz9mzZ7F8+XKMGzcOQUFBN3V8wHKu9PTp03mvX/P/du/ezdvHqVOnsHLlSkRGRiIkJAS33XYb/vvf/0KlUnXq9Wlqzpw5KC4uxokTJ1rdjhDSv4h6uwGEENLXmILtESNGYPjw4UhMTOStP3jwIE6cOIHXXnsNxcXF3LatYVkWKSkp8PPzg52dndn677//Hm+99RZcXFwwa9YsODg4oLy8HOnp6YiLi8PMmTMRERGBhQsXYs+ePYiIiEBERAT3eNM+a2tr8a9//Qvjxo1DTEwM7OzscO3aNRw+fBjx8fHYtm2bxRSWzMxMbNq0CREREViyZAmysrIQFxeHnJwc7Nu3DxKJhNt2zZo12LVrFwYPHowHHngAGo0GmzdvxtmzZ832e7PtOXv2LDZs2IDIyEjce++9KCkpuanjt2Tp0qWor683W/7zzz+jrKwMUqmUW/bDDz/grbfegr29PaZNmwZHR0dkZmZi/fr1SE5OxpYtW2BlZdXp9oWFhQEATp48iYkTJ7b7uRBC+jiWEEIIz4IFC9jAwEC2traW/fLLL9nAwEC2qKiIZVmW1Wg07PTp09k5c+awOp2OfeKJJ9jAwEA2Jyen1X3m5uaygYGB7Isvvmhx/cKFC9mRI0eylZWVZuuqqqq4f588eZINDAxkP/nkE4v70Wg07PXr182W5+TksGFhYewjjzzCW27aX2BgILt//37eupdeeokNDAxk9+3bZ7b9/Pnz2YaGBm759evX2cjISDYwMJD9v//7vy5pz44dO8we19HjsyzLXrt2zeLy5rZt28YGBgayTzzxBGswGFiWbTxvI0aMYBcsWMBWV1fztt+wYQMbGBjIbtq0qVPtM6mvr2cDAwPZBx54oNV2EkL6F0ojIYSQJrRaLXJzc+Ht7Q07OzsEBwcDAJdKsmnTJhQWFmL16tUQiUTIzMyETCaDn59fq/u9fv06AGDQoEEtbiMWi7lBmU05Ojq2u/1WVlZwc3MzWz5s2DBERkbi1KlT0Ol0ZuvHjx+P2NhY3rK77roLAJCRkcEt++WXXwAATz/9NORyObfczc2NS3HpivaMGDECd999t9nyjh6/vRITE/Gvf/0LgYGBWLt2LQSCxq/HH3/8EXq9Hq+99hocHBx4j3nsscfg5OSEffv2dUn7bGxsIJFIuGuFEDIwUBoJIYQ0kZ2dDZ1Ox6WFDB8+HEBjsB0cHIyNGzdi+vTpmDRpEsrLy1FeXo4xY8ZAKBS2ut+amhoAsJhCAgCzZ8/G2rVrMXfuXNxxxx2IiIjA2LFjW9y+NRcuXMDXX3+N1NRUVFRUmAWz1dXVZoMFLaXBuLu7AwBXcQW4UZll3LhxZttbWnaz7Rk1apTFfd3M8dty6dIlPP/887C3t8eGDRtgbW3NrUtLSwMAJCQkWMylFolEvJKPnW2fvb09qqurO/wcCCF9FwXbhBDShGnQXkhICIDGHkknJydkZ2fjgw8+gE6n4wbaNc3tbospB1ij0Vhc//jjj8PR0RE//PADNm/ejG+++QYikQhTpkzB6tWr4e3t3a72nzlzBg8//DAAYOLEifD19YVcLgfDMIiLi8PFixeh1WrNHmdra2u2zHQD0bQ6Rn19PQQCgcXedmdn5y5rT0u/AHT0+G2prq7GypUrodFo8NVXX8HT05O3vra2FgCwfv36du2vs+3TaDSQyWTtOhYhpH+gYJsQQpqwFEAPHz4cCQkJqK2txeOPPw4fH58Wt22JKfgy9XA3xzAM7rnnHtxzzz2orq5Gamoq9u3bhwMHDiA/Px//+9//2uw9BxqDQq1Wi++//x5jx47lrTt37lybj2+Lra0tjEYjqqur4eTkxFtXWVnZZe1pqYxiR4/fGp1Oh2effRYFBQX44IMPMGbMGLNtbGxsAACpqancv1vTmfYZjUbU19cjICCgA8+CENLXUc42IYQ00VKwXVtbCxcXF6xcudJsW1MveGuGDRsGgUCA/Pz8Nrd1dHTEzJkz8fHHH2PChAm4dOkS9zhTwG0wGCw+tqCgAA4ODmaBrUqlslhqr6NMJfgszappaVlXt6ejx2/NG2+8gZSUFKxcuRJ33nmnxW1MlVJM6STd2b6rV6/CaDQiMDCwXccihPQPFGwTQshfdDodcnJy4OnpyeuVvP/++/H5559j06ZNvN7NrKwsWFlZwd/fv81929nZISgoCJmZmRbrLSckJECv15u1x5TGYEpDsbe3BwCUlpZaPI6Xlxdqa2uRm5vLLTMYDHj//fdRVVXVZjvbsmDBAgDA559/DqVSyS0vLS21OPthV7eno8dvyddff41du3bh9ttvx/PPP9/idvfffz9EIhHeeecdXvlBk7q6Ot5NQ2fal56eDgC8ko6EkP6P0kgIIeQveXl50Gq1Zmkh3t7eZjnTVVVVKCkpQUhICMRicbv2P3PmTHz66afIyMgwqy39t7/9DVKpFGPHjoWnpyf0ej2SkpKQl5eH2NhYLpfYz88Prq6u2L9/P6RSKdzd3cEwDO677z7Y2triwQcfRGJiIu6//37MmTMHVlZWSElJQWlpKSIiIpCSktKJVwiIjIzEokWLsHv3bsybNw+zZs2CVqvFb7/9hrCwMBw5coS3fVe3p6PHt6S8vBxr166FUCjE4MGD8dlnn5ltM3PmTAQHByMwMBBvvPEG3nzzTcyePRsxMTHw9vaGQqFAYWEhUlJSsHDhQrz99tudbt/x48chFAoxderUDr0mhJC+jYJtQgj5S2ZmJoD25WCbUkjaM3OkyT333IMvvvgCe/fuNQu2X3jhBSQkJCAjIwNHjhyBTCaDj48P3n77ba4EH9CYRvLZZ5/ho48+wq+//oqGhgYAQGxsLGxtbTFt2jR88skn2LBhA/bu3QupVIoJEybg888/x+eff97utrbm3XffxdChQ/Hzzz9j27ZtcHd3x6OPPoo5c+aYBZPd0Z6OHN8SjUbDDfrctGmTxW28vLy4so/33nsvhg8fjm+//RanTp3C4cOHYWNjA09PTzzyyCNcb3Zn2qdSqRAXF4dp06ZZLJVICOm/GNbS75mEEEK6xYsvvojExEQcOXKEV4eZ3Np27tyJ1157Ddu2bcP48eN7uzmEkC5EOduEENKDnn/+eSiVSmzfvr23m0L6CL1ejw0bNmD69OkUaBMyAFEaCSGE9CBvb2+8//77NHEJ4Vy/fh3z589vsSIKIaR/ozQSQgghhBBCugmlkRBCCCGEENJNKNgmhBBCCCGkm1CwTQghhBBCSDehYJsQQgghhJBuQsE2IYQQQggh3YSCbUIIIYQQQroJBduEEEIIIYR0Ewq2CSGEEEII6SYUbBNCCCGEENJN/h/K7DcB7kglJQAAAABJRU5ErkJggg==",
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       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_posterior_imputation(\n", " \"M\",\n", " \"G\",\n", " G_imputation_inference,\n", " impute_y=True,\n", " impute_color=\"C4\",\n", " title=\"Phylogeny + $M \\\\rightarrow G$ model\",\n", ")" ] }, { "cell_type": "markdown", "id": "3b456c15-c3e9-4f15-adbe-284b45f6a60d", "metadata": {}, "source": [ "- Purple points move toward the regression line\n", "\n", "⚠️ for some reason, after trying two different implementation of GPs using PyMCs `gp` module, as well as using `MVNormal` likelihood (both give similar results), I'm not able to replicate the imputation for solo primates presented in lecture. \n", "\n", "**Comments and suggestions are welcome on what I may be doing incorrectly here**" ] }, { "cell_type": "code", "execution_count": 46, "id": "46978760-afa4-4ce8-a493-4958dc8f3a45", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_dist(\n", " G_body_mass_inference.posterior[\"beta_GB\"], color=\"C0\", label=\"$M \\\\rightarrow G$ only\"\n", ")\n", "az.plot_dist(G_phylogeny_inference.posterior[\"beta_GB\"], color=\"C1\", label=\"phylogeny only\")\n", "az.plot_dist(\n", " G_imputation_inference.posterior[\"beta_GB\"], color=\"C4\", label=\"phylogeny + $M \\\\rightarrow G$\"\n", ")\n", "az.plot_dist(complete_case_inference.posterior[\"beta_G\"], color=\"k\", label=\"observed\");" ] }, { "cell_type": "markdown", "id": "a5f05959-266b-4119-8f18-166f141f0c4b", "metadata": {}, "source": [ "### 4. Impute $B,G,M$ using a submodel for each \n" ] }, { "cell_type": "markdown", "id": "df09b53b-59b0-4d14-b303-5fed43339610", "metadata": {}, "source": [ "Below is an implementation that uses PyMC's Gaussian process module." ] }, { "cell_type": "code", "execution_count": 47, "id": "078463be-0c3c-4abd-b524-d010cc782ec8", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [], "source": [ "# with pm.Model() as full_model:\n", "\n", "# # Priors\n", "# sigma_M = pm.Exponential(\"sigma_M\", 1\n", "\n", "# alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n", "# beta_MG = pm.Normal(\"beta_MG\", 0, 1)\n", "# sigma_G = pm.Exponential(\"sigma_G\", 1)\n", "\n", "# alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n", "# beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n", "# beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n", "# sigma_B = pm.Exponential(\"sigma_B\", 1))\n", "\n", "# # Naive imputation for M\n", "# eta_squared_M = pm.TruncatedNormal(\"eta_squared_M\", 1, .25, lower=.01)\n", "# rho_M = pm.TruncatedNormal(\"rho_M\", 3, .25, lower=.01)\n", "\n", "# cov_func_M = eta_squared_M * pm.gp.cov.Exponential(1, ls=rho_M)\n", "# mean_func_M = pm.gp.mean.Zero()\n", "\n", "# gp_M = pm.gp.Marginal(mean_func=mean_func_M, cov_func=cov_func_M)\n", "# M = gp_M.marginal_likelihood(\"M\", X=D_mat, y=M_obs, noise=sigma_M)\n", "\n", "# # G model, interactions only\n", "# mean_func_G = MeanBodyMassSocialGroupSize(alpha_G, 0, beta_MG, 0, M)\n", "\n", "# eta_squared_G = pm.TruncatedNormal(\"eta_squared_G\", 1, .25, lower=.01)\n", "# rho_G = pm.TruncatedNormal(\"rho_G\", 3, .25, lower=.01)\n", "# cov_func_G = eta_squared_G * pm.gp.cov.Exponential(1, ls=rho_G)\n", "\n", "# gp_G = pm.gp.Marginal(mean_func=mean_func_G, cov_func=cov_func_G)\n", "# G = gp_G.marginal_likelihood(\"G\", X=D_mat, y=G_obs, noise=sigma_G)\n", "\n", "# # B Model\n", "# mean_func_B = MeanBodyMassSocialGroupSize(alpha_B, beta_GB, beta_MB, G, M)\n", "\n", "# eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, .25, lower=.01)\n", "# rho_B = pm.TruncatedNormal(\"rho_B\", 3, .25, lower=.01)\n", "# cov_func_B = eta_squared_B * pm.gp.cov.Exponential(1, ls=rho_B)\n", "\n", "# gp_B = pm.gp.Marginal(mean_func=mean_func_B, cov_func=cov_func_B)\n", "# gp_B.marginal_likelihood(\"B\", X=D_mat, y=B_obs, noise=sigma_B)\n", "\n", "# full_inference = pm.sample(target_accept=.95, cores=1)" ] }, { "cell_type": "markdown", "id": "e2c634ea-f937-42b2-b364-f9cff3133dca", "metadata": {}, "source": [ "Below is an alternative implementation that builds the covariance function by hand, and directly models the dataset as a `MVNormal` with mean being the linear function of $G$ and $M$, and covariance defined by the kernel. I find that these `MVNormal` implementations track better with the results from lecture." ] }, { "cell_type": "code", "execution_count": 48, "id": "c6c1a66f-c13f-4ff0-8d57-09270e8a7adc", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coords = {\"primate\": PRIMATES[\"name\"].values}\n", "with pm.Model(coords=coords) as full_model:\n", "\n", " # Priors\n", " alpha_B = pm.Normal(\"alpha_B\", 0, 1)\n", " beta_GB = pm.Normal(\"beta_GB\", 0, 0.5)\n", " beta_MB = pm.Normal(\"beta_MB\", 0, 0.5)\n", "\n", " alpha_G = pm.Normal(\"alpha_G\", 0, 1)\n", " beta_MG = pm.Normal(\"beta_MG\", 0, 0.5)\n", "\n", " # M model (imputation)\n", " eta_squared_M = pm.TruncatedNormal(\"eta_squared_M\", 1, 0.25, lower=0.001)\n", " rho_M = pm.TruncatedNormal(\"rho_M\", 3, 0.25, lower=0.001)\n", "\n", " K_M = pm.Deterministic(\"K_M\", eta_squared_M * pm.math.exp(-rho_M * D_mat))\n", " mu_M = pm.math.zeros_like(M_obs)\n", " M = pm.MvNormal(\"M\", mu=mu_M, cov=K_M, observed=M_obs)\n", "\n", " # G Model (imputation)\n", " eta_squared_G = pm.TruncatedNormal(\"eta_squared_G\", 1, 0.25, lower=0.001)\n", " rho_G = pm.TruncatedNormal(\"rho_G\", 3, 0.25, lower=0.001)\n", "\n", " K_G = pm.Deterministic(\"K_G\", eta_squared_G * pm.math.exp(-rho_G * D_mat))\n", " mu_G = alpha_G + beta_MG * M\n", " G = pm.MvNormal(\"G\", mu=mu_G, cov=K_G, observed=G_obs)\n", "\n", " # B Model\n", " eta_squared_B = pm.TruncatedNormal(\"eta_squared_B\", 1, 0.25, lower=0.001)\n", " rho_B = pm.TruncatedNormal(\"rho_B\", 3, 0.25, lower=0.001)\n", " K_B = pm.Deterministic(\"K_B\", eta_squared_B * pm.math.exp(-rho_B * D_mat))\n", "\n", " # Likelihood for B\n", " mu_B = alpha_B + beta_GB * G + beta_MB * M\n", " pm.MvNormal(\"B\", mu=mu_B, cov=K_B, observed=B_obs)\n", "\n", " full_inference = pm.sample(nuts_sampler=\"nutpie\")" ] }, { "cell_type": "code", "execution_count": 49, "id": "ff0b2be6-da71-41ee-92c4-973d6a5a8ef0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_posterior_imputation(\n", " \"M\", \"G\", full_inference, impute_y=True, impute_color=\"C5\", title=\"Full model, including M\"\n", ")" ] }, { "cell_type": "markdown", "id": "53377b9b-7169-4dfa-9187-1ad168d00b2a", "metadata": {}, "source": [ "Imputation changes little from the previous model that does not directly model the causes of $M$. I would think that this is because there are only two missing $M$ values" ] }, { "cell_type": "code", "execution_count": 50, "id": "6fab0e24-bad9-426e-b3d0-b0e36976589d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_dist(\n", " G_body_mass_inference.posterior[\"beta_GB\"], color=\"C0\", label=\"$M \\\\rightarrow G$ only\"\n", ")\n", "az.plot_dist(G_phylogeny_inference.posterior[\"beta_GB\"], color=\"C1\", label=\"phylogeny only\")\n", "az.plot_dist(\n", " G_imputation_inference.posterior[\"beta_GB\"], color=\"C4\", label=\"phylogeny + $M \\\\rightarrow G$\"\n", ")\n", "az.plot_dist(full_inference.posterior[\"beta_GB\"], color=\"C5\", label=\"full model, including M\")\n", "az.plot_dist(complete_case_inference.posterior[\"beta_G\"], color=\"k\", label=\"observed\");" ] }, { "cell_type": "markdown", "id": "a77a40f9-b3c1-4e39-be62-df4c6fc59a41", "metadata": {}, "source": [ "we also get very similare effects to the phylogeny + $M \\rightarrow G$ model" ] }, { "cell_type": "markdown", "id": "2943d802-fc58-4c73-9716-9b36ab0abc36", "metadata": {}, "source": [ "## Review: Imputing Primates\n", "\n", "- **Key Idea**: missing values have probability distributions\n", "- Think like a graph, not like a regression\n", "- Blind imputation without relationships among predictorrs may be risky\n", " - take advantage of partial pooling \n", "- Even if imputation doesn't change results, it's scientific duty " ] }, { "cell_type": "markdown", "id": "ec360a53", "metadata": {}, "source": [ "## Authors\n", "* Ported to PyMC by Dustin Stansbury (2024)\n", "* Based on Statistical Rethinking (2023) lectures by Richard McElreath" ] }, { "cell_type": "code", "execution_count": 51, "id": "c776b4f4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Tue Dec 17 2024\n", "\n", "Python implementation: CPython\n", "Python version : 3.12.5\n", "IPython version : 8.27.0\n", "\n", "pytensor: 2.26.4\n", "xarray : 2024.7.0\n", "\n", "matplotlib : 3.9.2\n", "arviz : 0.19.0\n", "xarray : 2024.7.0\n", "pymc : 5.19.1\n", "scipy : 1.14.1\n", "statsmodels: 0.14.2\n", "numpy : 1.26.4\n", "pandas : 2.2.2\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p pytensor,xarray" ] }, { "cell_type": "markdown", "id": "621c108e", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 5 }