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"(lecture_13)=\n",
"# Multilevel Adventures\n",
":::{post} Jan 7, 2024\n",
":tags: statistical rethinking, bayesian inference, multilevel models\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 13 - Multilevel Adventures](https://youtu.be/sgqMkZeslxA)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "ab37bcee",
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"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": "51ba8b52",
"metadata": {},
"source": [
"# Review: Drawing the Bayesian Owl 🦉\n",
"\n",
"1. Establish **Estimand**\n",
"2. Build **Scientific model(s)** (i.e. Causal model), depending on 1.\n",
"3. Use 1 & 2 to build a **Statistical Model**\n",
"4. **Simulate** data from from 2 and **Validate** you can recover from 3\n",
"5. **Analyze Real Data** using 3.\n",
"\n",
"In real life, it's never a linear path; you are jumping back and forth, iterating on 2-5, much like a branching path/choose your own adventure book.\n",
"\n",
"# Multi-level Adventures\n",
"Similarly there is no one-size-fits all approach to applying the methods in this course. In order to optimize for success when applying these methods, McElreath suggests a few strategies (\"paths\") moving forward:\n",
"\n",
"- **Return to the start** -- McElreath suggests to return to the beginning of the course, reviewing the material now that you've observed a lion's share of the building blocks.\n",
" - **It turns out that the notes presented in this repo are after the _Third Pass of the course_. I can't recommend strongly enough to take McElreath's advice and review the material from the beginning.** It's a lot of material, but I was flabbergasted with how much I had forgotten in the short time between this lecture and the earlier ones. Similarly, I was surprised by how much easier it was to soak up the material the 2nd time around--a real testament to McElreath's outstanding teaching style.\n",
"- **Skim & Index** -- don't sweat the deatils, just aquaint yourself with the possiblities.\n",
" - One thing that I've found useful is to compile each of the model classes discussed in the course into a \"recipe book\" or \"toolbox\" of plug-and-play models that can be reused for different applications\n",
" \n",
" \n",
"# Clusters vs Features\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"\\textbf{Clusters}& && &\\textbf{Features} \\\\\n",
"tanks& &\\longrightarrow& &survival \\\\\n",
"stories& &\\longrightarrow& & treatment\\;effect \\\\\n",
"individuals& &\\longrightarrow& & average\\;response \\\\\n",
"departments& &\\longrightarrow& & admission\\;rate \\\\\n",
"\\end{align*}\n",
"$$\n",
"\n",
"- **Clusters**: subgroups in the data (e.g. tanks, participants, stories, departments)\n",
" - **Adding clusters is fairly simple**\n",
" - requires more index variables; more population priors\n",
"- **Features**: aspects of the model (i.e. parameters) that vary by cluster (e.g. survival, average response rate, admission rate, etc.)\n",
" - **Adding features requires more complexity**\n",
" - more parametrers, particularly dimensions in each population prior\n",
"\n",
"## Varying effects as confounds\n",
"- **Varying effect strategy**: using **repeat observations** and **partial pooling** to estimate unmeasured features of clusters that have left an imprent on the data\n",
"- **Predictive perspective**: regularization\n",
"- **Causal Perspective**: unobserved confounds are terrifying, but leveraging repeat observations give us some hope at more accurate inference\n",
"\n",
"### Previous Examples:\n",
"#### Grandparents & Education"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "b5b29006",
"metadata": {},
"outputs": [
{
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"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"G \n",
"\n",
"Grandparents Ed, G \n",
" \n",
"\n",
"\n",
"P \n",
"\n",
"Parents Ed, P \n",
" \n",
"\n",
"\n",
"G->P \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"C \n",
"\n",
"Children's Ed, C \n",
" \n",
"\n",
"\n",
"G->C \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P->C \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"U \n",
"\n",
"Neighborhood, U \n",
" \n",
"\n",
"\n",
"U->P \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"U->C \n",
" \n",
" \n",
" \n",
" \n",
" \n"
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"text/plain": [
""
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"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"G\", \"P\"), (\"G\", \"C\"), (\"P\", \"C\"), (\"U\", \"P\"), (\"U\", \"C\")],\n",
" node_props={\n",
" \"G\": {\"label\": \"Grandparents Ed, G\"},\n",
" \"P\": {\"label\": \"Parents Ed, P\"},\n",
" \"C\": {\"label\": \"Children's Ed, C\"},\n",
" \"U\": {\"label\": \"Neighborhood, U\", \"color\": \"blue\"},\n",
" },\n",
" edge_props={(\"U\", \"P\"): {\"color\": \"blue\"}, (\"U\", \"C\"): {\"color\": \"blue\"}},\n",
")"
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{
"cell_type": "markdown",
"id": "4a725b0a",
"metadata": {},
"source": [
"- Neighborhood is a backdoor path confound that blocks mediation analysis of the **direct effect** of $G$ on $C$\n",
"- but having repeat observations for neighborhoods U allows us to estimate the effects of this confound"
]
},
{
"cell_type": "markdown",
"id": "b1bd87f6",
"metadata": {},
"source": [
"### Trolley Problem Example"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "37a6ad9d",
"metadata": {},
"outputs": [
{
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"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"X \n",
"\n",
"Treatment, X \n",
" \n",
"\n",
"\n",
"R \n",
"\n",
"Response, R \n",
" \n",
"\n",
"\n",
"X->R \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"S \n",
"\n",
"S \n",
" \n",
"\n",
"\n",
"S->R \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"E \n",
"\n",
"E \n",
" \n",
"\n",
"\n",
"E->R \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P \n",
"\n",
"Participation, P \n",
" \n",
"\n",
"\n",
"E->P \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"G \n",
"\n",
"G \n",
" \n",
"\n",
"\n",
"G->R \n",
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"G->E \n",
" \n",
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"Y \n",
"\n",
"Y \n",
" \n",
"\n",
"\n",
"Y->R \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Y->E \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"U \n",
"\n",
"Individual Traits, U \n",
" \n",
"\n",
"\n",
"U->R \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"U->P \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"unobserved \n",
"\n",
"unobserved \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
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"execution_count": 3,
"metadata": {},
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],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"X\", \"R\"),\n",
" (\"S\", \"R\"),\n",
" (\"E\", \"R\"),\n",
" (\"G\", \"R\"),\n",
" (\"Y\", \"R\"),\n",
" (\"U\", \"R\"),\n",
" (\"G\", \"E\"),\n",
" (\"Y\", \"E\"),\n",
" (\"E\", \"P\"),\n",
" (\"U\", \"P\"),\n",
" ],\n",
" node_props={\n",
" \"X\": {\"label\": \"Treatment, X\"},\n",
" \"R\": {\"label\": \"Response, R\"},\n",
" \"P\": {\"label\": \"Participation, P\", \"style\": \"dashed\"},\n",
" \"U\": {\"label\": \"Individual Traits, U\", \"color\": \"blue\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" },\n",
" edge_props={(\"U\", \"P\"): {\"color\": \"blue\"}, (\"U\", \"R\"): {\"color\": \"blue\"}},\n",
")"
]
},
{
"cell_type": "markdown",
"id": "9b5e054b",
"metadata": {},
"source": [
"- Individuals vary on how they react to the response scale, adding noise to our estimatates\n",
"- However, given that each participant has repeat observations, we use the repeats to estimate this noise.\n",
"- Similarly, individual traits may cause sampling bias through an unobserved participation node; we can use mixed effects to help address this sampling bias."
]
},
{
"cell_type": "markdown",
"id": "8b1dd982",
"metadata": {},
"source": [
"### Fixed Effect Approach\n",
"- rather than partial pooling, **no pooling**.\n",
"- very few benefits to using fixed effects over varying reffects.\n",
" - e.g. less efficient\n",
"- **focus on getting the story straight** (generative model, causal graph), you can worry about the details of estimator efficiency, etc. later\n",
"\n",
"### Practical Difficulties\n",
"\n",
"- **Varying effects models are always a good default**, but\n",
" 1. how do you use more than one cluster\n",
" 2. Predictions is at the level of the hierarchy now, which level do we care about\n",
" 3. Sampling efficiency -- e.g. centered/non-centered priors\n",
" 4. Group-level confounding -- e.g. Full Luxury Bayes or Mundlak Machines. For details, see the BONUS section of [Lecture 12 - Multilevel Models]()"
]
},
{
"cell_type": "markdown",
"id": "47035b34",
"metadata": {},
"source": [
"# Fertility & Behavior in Bangladesh\n",
"- 1989 Fertility Survey\n",
"- 1924 women, 61 districts\n",
"- **Outcome, $C$:** contraceptive use (binary variable)\n",
"- **Predictors**: age, $A$ # of living children $K$, urban/rural location $U$\n",
"- **Potential (unobserved) confounds**: Family traits, $F$\n",
"- **District ID**: $D$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "187d92ac-75fe-4d10-90c6-b427977fcf12",
"metadata": {},
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"FERTILITY = utils.load_data(\"bangladesh\")\n",
"FERTILITY.head()"
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{
"cell_type": "markdown",
"id": "914caac8-3dcd-4a58-8fbf-39d48fba6381",
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"source": [
"### Competing causes"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "10fbf7f9",
"metadata": {
"jupyter": {
"source_hidden": true
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" \n",
"\n",
"\n",
"A->C \n",
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"\n",
"K \n",
"\n",
"# kids, K \n",
" \n",
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"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"A\", \"C\"),\n",
" (\"K\", \"C\"),\n",
" (\"U\", \"C\"),\n",
" (\"D\", \"C\"),\n",
" (\"D\", \"U\"),\n",
" (\"U\", \"K\"),\n",
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" \"A\": {\"label\": \"age, A\"},\n",
" \"K\": {\"label\": \"# kids, K\"},\n",
" \"U\": {\"label\": \"urbanity, U\"},\n",
" \"D\": {\"label\": \"district, D\"},\n",
" \"C\": {\"label\": \"contraceptive use, C\"},\n",
" \"F\": {\"label\": \"family traits, F\", \"style\": \"dashed\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" },\n",
")"
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{
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"execution_count": 6,
"id": "c0133e15",
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"outputs": [
{
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jbOEkL8nJyYXedm6OHDkiSapXr16egaxBgwbatWuX7WK6m/n5+cnHxyfHcuu827wuIrVXbmHfnv1Zj6VmzZp5zketV69eocL23/72N73++ut64okn1KRJE7Vv315t2rRR27Ztcw2YhVHY91JaWprOnDkjSdnmDDvLgQMHJN0I3Xl9nk6ePClJtrqlG9+uNGvWTL/99pt+/vln2y0Xs7Ky9O2330pStjO9N+/ro48+0pw5c3Ld1x9//GHbV1HCdmHH/OTJk3riiSdsn7vcpKSk5Lkut/e/9VqKKlWq5LpP6zUTeT1noG7durnOEbdYLKpbt65OnjypxMREh4Ttwnx+k5KSJCnbhbt/FRwcTNhGkRG2AQfq0aOHpkyZomPHjmnnzp1q3bq1Ll26pJ9//llSzgfZTJ06Vbt27VLdunX1j3/8Qy1atJCfn5/t7Nrdd9+tM2fO5PlVpj0XFc2bN0/r16+Xv7+/xo8fr7Zt28rf39+2zyFDhmjnzp0Om0Zi/eWW30WM1l+Euf2y9vLyyvU1eV3gVVR59al1fzefIcyP9VjyO27rRagF9eijj6pixYpatGiR9u7dq71792r+/PkqX768+vfvrxdffDHXP0wKorDvpZvHyt59/tW+ffv0xhtv5Fh+zz33aMSIEfm+1no3jKSkJFuIysvVq1ez/btv37767bff9PXXX9vCdkxMjM6dO6cGDRpkm/4gyTblYe/evfkfkG5cHFwUhR3ziRMn6siRI2rRooXGjBmjRo0aydfXV56ensrMzFSTJk3y/Wzn9j6w/pGc13vkVt9qWD/f+a0ryAPBCqIwn1/rz6a/TuO7WX7rgIIibAMOVLFiRXXt2lVff/21Vq9erdatW+ubb77RtWvXVL9+fTVt2tTWNjMz03bm7OOPP1a9evWybSszMzPf28PZyzpfc+rUqerUqVOO9adPn3bo/qxh+a+3FLzZhQsXJLnXLzbrsRTkuAtjwIABGjBggM6dO6ft27dr8+bNWrt2rb744gudO3cuzzOtjnbzWKWmpjokcKemptruVnKzgtwRwvo+e/PNN/Oc3pGX3r1765133tFPP/2ktLQ0eXt726aQWOd0/3Vfly5d0rp164rlbhUFHfMzZ84oJiZGt912m+bNm5fjuoxTp06ZXmtu8vsMWNc547Nvfc/kF/Qd9UcASjcukAQczDr39ZtvvlFGRkaej2e/ePGi0tPTVbly5RxBW7pxa7Hr1687vD7rxWGtWrXKse6PP/7I9hX7zeydk1u3bl1JN+Yw53VW+NChQ5JyvyWdq7Iei3XObG7+eiFtYfj7+6t379566623FBUVpTJlymjDhg06e/asrY2Z86i9vb1t0yMKMxUmP+Hh4dq/f3+O/6ZNm3bL1zZo0EDS/6Z4FEZAQIDCwsJ05coVrV+/XteuXdP3338vKecUEul/U24OHjxY6H0Vxa3G3DpNpl69ejmCtqQCX9zraEeOHMn1vuOGYdimuzjjs2/dZ379Ys/7CfgrwjbgYO3bt5e/v7+Sk5O1fPly7dixI9fHs1vvY5yWlpbrV80LFiwwpT7rfnM7q7po0aI8A7716v7Cfi3epk0b3XbbbTp16pTtgrqb/fbbb9q1a5csFovDL/pzpnr16qlGjRq6cuWKvvzyyxzr4+PjbzlXv6AaNGhgO7N8c9i2d8wKqlu3bpJUqLtuWN9/jq7JWsvq1att86ULwxqq16xZo40bNyolJUXNmzfPdQ5wjx49JElLly4t8LQiR8ttzG/+bOdWl1k/U27l9OnT+vHHH3Ms/+mnn3TixAl5eXnluO96cWjTpo3Kly+vxMTEXD+L27dvZ742HIKwDThY2bJlbb+4p0+fLsMw1LZtW9WsWTNbu0qVKqlhw4bKzMzU22+/rWvXrkm68SCUefPmae3atfL09HR4fdar7qdNm2b7itQwDH355Zf617/+lefDRay3UouLiytUwPD29taQIUMkSa+//rr27dtnW3f06FHb0wx79eqV58VNrqhMmTK2hxt9+OGH2aZHnDhxQhMmTCjU+KalpWncuHGKiYnJdpbw+vXrWrp0qVJSUuTl5WX7JkH635jt2rXLYXPwbzZ8+HD5+Pho8+bNeumll7JdeJeVlaWff/7Z9kCfv9YUGxvr0FqaNWumXr16KTk5WU888US295l0o59iYmL0/PPP2z5rN7vvvvtUrlw5bdmyRZ9++qmk3M9qS9JDDz2kWrVqKSYmRuPHj8/2B450Y+rB2rVrNXXq1CIdU2HHvEGDBvL19dXp06c1e/Zs2+f06tWrevPNN3P0SXHx8PDQm2++me0M8qFDh2zz8x9++OEiX+BrDx8fH9vdVV588cVs3zQdOnSo0J9RIC/M2QZM0L9/fy1atMh2IVZeTx38xz/+oWeeeUbLly/Xd999pzvuuEMnTpzQH3/8oWeeeUZfffVVtnsCO8KYMWO0ZcsW/fjjj7r77rtVp04dnTt3TmfPnlX//v116tSpXINQ9+7d9cEHH2jNmjX69ddfVaNGDZUpU0YDBw7M9dZ2N3v22We1d+9excTEaODAgWrQoIHtCZLXr1/XnXfeabvnrjt57LHHtGXLFv38888aMmSI6tWrp/Lly+vgwYMKCAjQQw89pE8++aRA28rKytLatWu1du1aeXl5qXbt2vLw8LC9XywWi1566aVsc187duwoX19f7dixQ/fee69q1aolDw8PderUSU899VSRj69mzZqaMWOGRo8erZUrV2r16tWqX7++srKydPz4caWnp2v06NHq3Lmz7TW9evXSwYMHNWLECIWEhNhC1j//+U/5+/sXqZ633npLly5d0ubNmzVw4EDVrFlT/v7+unz5so4ePWo7m2693/TNKlWqpLvvvlvr16/Xli1bVKZMGfXq1SvX/VSsWFFz587VU089pa+//lpr165V3bp15e3trZSUFB07dkzXr19XixYtinQ8hR1zT09PPfvss3r99df10Ucf6bPPPtPtt99uu73nG2+8ocmTJxepJnvcd999OnLkiPr376+GDRtKujEFxzAMNWvWTGPGjCn2mqz+8Y9/aOfOnYqPj1efPn3UsGFDGYahgwcP2m7PuWbNGtMuyEbpwLsHMEGjRo0UHBws6cZX+T179sy1XZcuXTR//ny1atVKV65c0ZEjR1SnTh29++67evbZZ02prWnTpvr000/VoUMHZWVl6ciRI6pataomT55se8BMbmrXrq05c+YoLCxMKSkp2rFjh2JjYwv0x0CFChW0cOFCvfzyy2ratKntVl/169fXc889p3//+995PqrdlZUtW1azZs3S888/r6CgIB07dkznz5/XgAEDFBUVleu82rxUrFhR06dPV//+/VW9enWdOHFChw4dkq+vr/r166cvv/wyx4WB3t7eWrhwoe6++25lZGTo119/VWxsbJHmiv9V+/bt9fXXX2vo0KGqWbOmDh8+rNOnT6tWrVoaPnx4jj80n3rqKY0ePVq1a9fWoUOHFBsbq9jY2Bx3CLFHxYoVtWDBAr333nvq2LGjLl++rH379umPP/5QSEiInnzySUVFReX57c3NZ7LDw8MVEBCQ577q16+vr776Ss8//7yaNWumM2fOKD4+XhkZGWrbtq0mTJigf/7zn0U+nsKO+aOPPqp3331XjRo1UnJyso4ePaqmTZtq3rx5hb5w1FHKlSunZcuW6fHHH1daWpqOHDmimjVr6qmnntLSpUvzvONQcfD29tYnn3yiJ554QtWrV9fhw4f1559/atiwYVq6dKntGyFnnHmH+7AYzppwBgAA3FZ0dLQmTZqkgQMHFugi15Lo/vvv14EDB/Tll19me7gPUBic2QYAAPiL3bt368CBA6pUqZLtbjeAPQjbAACg1PrnP/+Z45anu3fvtj0F+P/+7/+4UBJFwgWSAACg1Jo7d67mzp0rf39/Va9eXRcvXrRdi9K0aVOnXsAJ90DYBgAApdb48eO1ceNGHTlyRAkJCfL09FSTJk3Uq1cvDR06NM9HwAMFxQWSAAAAgEmYsw0AAACYhLANAAAAmISwXYIYhqHk5ORCPQobjsUYOBf971z0v/MxBs5F/zufO44BYbuEcac3l6tiDJyL/ncu+t/5GAPnov+dz93GgLANAAAAmISwDQAAAJiEsA0AAACYhLANAAAAmKREPkHyq6++0o4dO7Rnzx4dOHBAGRkZmjp1qgYNGpStXUZGhn788Udt2LBB//3vf3Xq1ClZLBY1aNBAAwYM0MMPP6yyZcvmuo///Oc/WrJkiQ4dOiRPT0+1bNlSY8eOVbNmzYrjEAEAAFAKlMiw/dFHH+nEiRPy8/NTQECATpw4kWu7o0ePauzYsapYsaLuuusudenSRampqdqwYYNef/11bdq0SbNnz5bFYsn2ujlz5uiDDz5QzZo19fDDDys9PV1r1qzRkCFDtHDhQoWHhxfHYQIAAMDNlciw/eabb6pOnToKDAzUvHnz9P777+faztvbW6+99poGDhyo2267zbY8PT1djz32mDZs2KBvv/1WvXr1sq1LTExUZGSkgoKCtGLFCvn4+EiSHnvsMQ0ePFiTJ0/WN998Iw+PEtk1AAAAcCElcs52+/btFRgYeMt2t99+ux555JFsQVuSvLy89Pe//12StH379mzroqOjlZmZqZEjR9qCtiQ1bNhQ/fv319GjR7Vt2zYHHAUAAABKuxIZth3Bemb6r3O2Y2NjJUkdOnTI8ZpOnTpJyhnQAQAAAHu47VyJlStXSpI6duyYbXliYqK8vLzk7++f4zV16tSxtcmPWU82sm7X3Z6c5EoYA+ei/52L/nc+xsC56H/nc7Ux+Ot1gblxy7C9fPlybdy4UXfddZfuueeebOvS0tJUpUqVXF/n7e1ta5OflJQUU98EKSkppm0bBcMYOBf971z0v/MxBs5F/zufq4yBn5/fLdu4Xdj+6aef9MYbbygwMFDvvvuuKfvw9fU1ZbuGYSglJUW+vr4F+ksJjscYOBf971z0v/MxBs5F/zufO46BW4XtTZs2acyYMapataqWLFmigICAHG28vb2Vmpqa6+utZ7StZ7jzYvbgWywWt3mDuSrGwLnof+ei/52PMXAu+t/53GkM3OYCyY0bN2rUqFHy8/PT0qVLVatWrVzbBQUFKT09XefOncuxLikpydYGAAAAKCq3CNvWoF2pUiUtXbrUdqFjbtq2bStJ2rx5c451mzZtytYGAAAAKAqXD9vWoO3r66ulS5fe8qz0oEGD5OHhodmzZ2ebTnLw4EF99dVXql27tu666y6TqwYAAEBpUCLnbEdFRWnHjh2SpAMHDtiWWe+R3a1bN3Xr1k2///67Ro0apWvXriksLExr1qzJsa3AwEANGjTI9u+6detq9OjR+vDDD9WvXz/dd999tse1Z2Zm6o033uDpkQAAAHCIEpkqd+zYoVWrVmVbtnPnTu3cuVPSjQDdrVs3nT9/XteuXZOkXIO2JIWFhWUL25I0cuRIBQYGasmSJfr888/l6empVq1aaezYsWrevLkJRwQU3u4qvfNd3/zi2mKqBAAA2MtiuMpdw0sBwzCUnJysypUru80VuK6mJI1BaQzbJan/SyP63/kYA+ei/53PHcfA5edsAwAAACVViZxGgpxK41lOAAAAV8eZbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJB7OLiA3X331lXbs2KE9e/bowIEDysjI0NSpUzVo0KBc26elpSkyMlLr1q3TuXPn5O/vrx49emjMmDHy9vbO9TX/+c9/tGTJEh06dEienp5q2bKlxo4dq2bNmpl5aAAAAChFSuSZ7Y8++kjLly/XyZMnFRAQkG/b9PR0DR06VIsXL1bdunU1bNgw1a9fX4sXL9bQoUOVnp6e4zVz5szR+PHjdeHCBT388MPq1auXdu7cqSFDhigmJsaswwIAAEApUyLPbL/55puqU6eOAgMDNW/ePL3//vt5tl2wYIHi4+MVERGhF154wbZ8xowZmjVrlhYsWKCxY8falicmJioyMlJBQUFasWKFfHx8JEmPPfaYBg8erMmTJ+ubb76Rh0eJ7BoAAAC4kBJ5Zrt9+/YKDAy8ZTvDMBQVFSUvLy+NGjUq27qnn35avr6+WrFihQzDsC2Pjo5WZmamRo4caQvaktSwYUP1799fR48e1bZt2xx3MAAAACi1SmTYLqjExESdPXtWrVu3lpeXV7Z15cuXV2hoqM6cOaOkpCTb8tjYWElShw4dcmyvU6dOkqTt27ebWDUAAABKC5eeK2EN0UFBQbmur1Onjq2dtU1iYqK8vLzk7++fZ/vExMR893vzmXJHsm7Xnu2bVVNpU5QxKG6uUGNhuVL/uyP63/kYA+ei/53P1cbAYrHcso1Lh+3U1FRJyvOOI9bl1nbSjTuXVKlSJd/2aWlp+e43JSXF1DdBSkpKoV+TnJzs+EJKMXvGoLi585i7Qv+7M/rf+RgD56L/nc9VxsDPz++WbVw6bDuLr6+vKds1DEMpKSny9fXN8ZfSsVu8tnLlyqbUVNrkNwbFrTSOeUnq/9KI/nc+xsC56H/nc8cxcOmwbb3AMa8z0dblN18I6e3tne1Md27t8zpTbmX24FsslkLvw13ekCWFPWNQ3Ep6fUXhCv3vzuh/52MMnIv+dz53GgOXvkDyVnOsrXO6re2kG/O709PTde7cuTzb5zUHHAAAACgMlw7bQUFBCggI0M6dO3M8vObq1auKi4tTQEBAtrDdtm1bSdLmzZtzbG/Tpk3Z2gAAAABF4dJh22KxaPDgwUpPT9esWbOyrZs7d65SUlI0ePDgbF9DDBo0SB4eHpo9e3a26SQHDx7UV199pdq1a+uuu+4qtmMAAACA+yqRc7ajoqK0Y8cOSdKBAwdsy6z3yO7WrZu6desmSYqIiNCPP/5oe5JkkyZNlJCQoI0bN6pRo0aKiIjItu26detq9OjR+vDDD9WvXz/dd999Sk9P15o1a5SZmak33niDp0cCAADAIUpkqtyxY4dWrVqVbdnOnTu1c+dOSVJgYKAtbHt5eWnZsmWaOXOmvvvuO8XGxqpatWoaNmyYRo8eneNhN5I0cuRIBQYGasmSJfr888/l6empVq1aaezYsWrevLn5BwgAAIBSwWK4yl3DSwHDMJScnKzKlSvnuAJ3d5Xe+b62+cW1ZpZWauQ3BsWtNI55Ser/0oj+dz7GwLnof+dzxzFw6TnbAAAAQElG2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATOLh7AIAAID7212ld77rm19cW0yVAMWLM9sAAACASQjbAAAAgEkI2wAAAIBJCNsAAACASQjbAAAAgEkI2wAAAIBJCNsAAACASQjbAAAAgEkI2wAAAIBJCNsAAACASQjbAAAAgEkI2wAAAIBJPJxdgCMYhqHvv/9ey5Yt05EjR5Samqrq1asrPDxcTz75pGrVqpWtfVpamiIjI7Vu3TqdO3dO/v7+6tGjh8aMGSNvb28nHQUAAADcjVuc2X7nnXc0ZswYHTlyRF27dtXQoUN1xx136IsvvlD//v114MABW9v09HQNHTpUixcvVt26dTVs2DDVr19fixcv1tChQ5Wenu7EIwEAAIA7cfkz2+fOndOSJUsUGBio1atXZzszvXjxYk2dOlWLFi3S1KlTJUkLFixQfHy8IiIi9MILL9jazpgxQ7NmzdKCBQs0duzYYj8OAAAAuB+XP7N94sQJZWVlqXXr1jmmgNx7772SpIsXL0q6Md0kKipKXl5eGjVqVLa2Tz/9tHx9fbVixQoZhlEstQMAAMC9uXzYrlOnjjw9PbVz506lpaVlW/fzzz9Lku666y5JUmJios6ePavWrVvLy8srW9vy5csrNDRUZ86cUVJSUvEUDwAAALfm8tNI/Pz8NG7cOE2fPl29e/dWly5dVLFiRR04cEBbt27VQw89pKFDh0qSLUQHBQXluq06derY2uXVRpJpZ76t27Vn+5yNd4yijEFxc4UaC8uV+t8d0f/OV5rHoCQcc2nu/5LC1cbAYrHcso3Lh21JGj58uAICAvTqq6/q888/ty1v1aqV+vXrJ09PT0lSamqqJOV5xxHrcmu7vKSkpJj6JkhJSSn0a5KTkx1fSClmzxgUN3cec1fof3dG/ztfaRyDkvQzrTT2f0njKmPg5+d3yzZuEbY//vhjffzxxxo9erQGDBigSpUqKT4+XtOmTdPjjz+uDz/8UD169HDY/nx9fR22rZsZhqGUlBT5+vrm+Evp2C1eW7lyZVNqKm3yG4PiVhrHvCT1f2lE/zufO4+BK/xMc+f+dxXuOAZ2h+1Dhw7pk08+0W+//abU1FRdv349RxuLxaL169cXqcBb2bp1qz766CMNGzZMI0aMsC1v06aN5s6dq65du2rq1Knq0aOHfHx8JCnH3G4r63Jru7yYPfgWi6XQ+3CXN2RJYc8YFLeSXl9RuEL/uzP63/lK4xiUpOMtjf1f0rjTGNgVtmNjYxUREaFr167Jw8NDVatWVdmyZXO0K475NtaLIMPDw3Osq1KlikJCQrRr1y5dvHjRNic7MTEx121Z53Rb2wEAAABFYVfYfv/993X9+nW9+eabGjhwYK5Bu7hkZGRI+t/t/f7KurxcuXIKCgpSQECAdu7cqfT09Gx3JLl69ari4uIUEBBA2AYAAIBD2HXrv4SEBPXu3VsPPPCAU4O2JLVu3VrSjQfY/PXCxlWrVikpKUlNmjSRt7e3LBaLBg8erPT0dM2aNStb27lz5yolJUWDBw92m68tAAAA4Fx2ndmuWLGiqlat6uha7NKzZ0/9+9//VmxsrHr06KEuXbqoUqVK2r9/vzZv3qxy5crppZdesrWPiIjQjz/+aHuSZJMmTZSQkKCNGzeqUaNGioiIcOLRAAAAwJ3YFbbvuecexcXFOboWu5QtW1YLFy7UkiVL9M0332jNmjXKyMhQ1apV1bdvXz399NMKDg62tffy8tKyZcs0c+ZMfffdd4qNjVW1atU0bNgwjR49OsfDbgAAAAB7WQw7rmK8ePGihgwZok6dOun555/XbbfdZkZtpY5hGEpOTlblypVzTGXZXaV3vq9tfnGtmaWVGvmNQXErjWNekvq/NKL/nc+dx8AVfqa5c/+7CnccA7vObD/33HPy8vLSp59+qujoaAUFBeX6oBiLxaIlS5YUuUgAAADAFdl96z+r9PR07du3L9d27vIXCQAAAGAPu8J2QkKCo+sAAAAA3I5dt/4DAAAAcGt2P67d6s8//1RiYqIuX76s0NBQR9QEAAAAuAW7z2wfP35cI0eOVFhYmB544AE9/vjjtnU7duxQ7969FRMT45AiAQAAAFdkV9g+efKkHnroIW3cuFFdu3ZVy5YtdfMdBFu0aKE//vhDa9ascVihAAAAgKuxK2xHRkYqJSVFy5Yt04wZM9ShQ4ds6z08PBQaGqqdO3c6pEgAAADAFdkVtjdt2qTu3burdevWebapUaOGzpw5Y3dhAAAAgKuzK2ynpKQoMDDwlu2uXbtmz+YBAAAAt2BX2K5WrZqOHj2ab5uDBw+qRo0adhUFAAAAuAO7wnb79u31448/6sCBA7muj4uL09atW3XPPfcUqTgAAADAldl1n+2RI0fqu+++0yOPPKKIiAglJSVJkn7++Wft2rVLixcvlp+fn4YPH+7QYgEAAABXYlfYvuOOO7Rw4UKNGzdOH374oSwWiwzD0IgRI2QYhmrWrKmPPvpIAQEBjq4XAAAAcBl2P0GyRYsWWrdunTZs2KD//ve/SklJkbe3t5o3b66uXbuqXLlyjqwTAAAAcDlFely7h4eHunfvru7duzuqHgAAAMBt2P24dgAAAAD5s/vMtmEY+uGHH5SQkKCzZ88qIyMjRxuLxaK33367SAUCAAAArsqusH306FGNGDFCR44ckWEYebYjbAMAAKA0sytsT5kyRYcPH9aQIUPUp08fBQQEqGzZso6uDQAAAHBpdoXtHTt2qEuXLnrttdccXQ8AAADgNuy6QNLLy0t16tRxdC0AAACAW7ErbHfq1Em7du1ydC0AAACAW7ErbL/wwgs6e/as3nnnHV25csXRNQEAAABuwa4529WqVdOCBQv08MMP64svvlCdOnXk7e2do53FYtGSJUuKXCQAAADgiuwK2/v27dPf//53Xbp0yfbv3FgsFvsrAwAAAFycXWH77bffVmpqqp5//nndf//98vf359Z/AAAAwF/YFbb37t2rXr166cknn3R0PQAAAIDbsOsCyYoVK6patWqOrgUAAABwK3aF7a5du2rbtm3KyspydD0AAACA27D71n/lypXT+PHjdfr0aUfXBAAAALgFu+Zs9+/fXxkZGdqzZ4+++eYbVapUKc9b/61fv77IRQIAAACuyK6wbRiGPDw8VKNGjWzLcmsHAAAAlFZ2he0ff/zR0XUAgEvaXaV3vuubX1xbTJUAAEoiu+ZsAwAAALg1u85s3ywzM1OJiYlKTU2Vt7e36tatKw+PIm8WAAAAcHl2p+KUlBS99957+vrrr3XlyhXb8goVKqhv3776xz/+IT8/P4cUCQAAALgiu8J2SkqKHnroISUmJqpy5cpq06aN/P39df78ee3Zs0dRUVGKjY3V8uXLVblyZQeXDAAAALgGu8L2xx9/rMTERD399NMaMWKEbrvtNtu6K1euaM6cOZozZ45mz56tSZMmOaxYAAAAwJXYFbbXr1+v8PBwjRs3Lse6ChUq6LnnntOvv/6q9evXE7YhiTs2AACA0smuu5GcPXtWLVu2zLdNixYtdPbsWXs2DwAAALgFu8K2j4+PTpw4kW+bEydOyMfHx66iAAAAAHdgV9gOCwvTt99+qy1btuS6fuvWrfr2228VFhZWpOIAAAAAV2bXnO3Ro0fr559/1vDhw3XPPfeobdu2qlq1qi5cuKDY2Fht3LhRFSpU0KhRoxxdLwAAAOAy7ArbDRo00MKFCzVp0iT99NNP+umnn2SxWGQYhiSpdu3amjp1qho2bOjQYgEAAABXYvdDbVq3bq1vv/1WO3bsUHx8vNLS0uTt7a1GjRqpTZs2slgsjqwTAAAAcDlFeq66xWJRaGioQkNDHVUPAAAA4DbsukBywYIF2rNnj23aCAAAAICc7Dqz/d5778lisahixYoKDQ1VeHi4wsPD1bhxY0fXBwAAALgsu8L23LlztX37dsXExGjTpk22CyR9fHyyhe8777zT0fUCAAAALsOusH3PPffonnvukSSlpaXZgndsbKx++uknbdiwQZLk6+urbdu2Oa7aW/j+++/12Wefad++fbp8+bKqVaumli1b6oUXXlCNGjVs7dLS0hQZGal169bp3Llz8vf3V48ePTRmzBh5e3sXW70AAABwb0W6QFKSvL291blzZ3Xu3FnHjh3TunXrtHDhQl28eFEpKSmOqPGWDMPQa6+9puXLl6t27drq3bu3KlasqLNnz2r79u06ceKELWynp6dr6NChio+PV4cOHdSnTx8lJCRo8eLFiomJ0WeffSYvL69iqRsAAADurUhh+/Tp09q2bZtiYmIUExOjU6dOyTAMVa9eXf3791d4eLij6szXsmXLtHz5cj366KN6+eWXVbZs2WzrMzMzbf9/wYIFio+PV0REhF544QXb8hkzZmjWrFlasGCBxo4dWyx1A0BJsLtK72z/PnbT/29+cW3xFgO4uL9+nv6Kz1TpY1fYfuWVVxQTE6Njx47JMAxVq1ZN4eHhGjFihO666y7Vrl3b0XXm6cqVK5o1a5Zq1aqll156KUfQliQPjxuHaRiGoqKi5OXllePplk8//bQ++eQTrVixQmPGjOE+4QAAACgyu8J2VFSULBaL2rVrp9GjR6t169aOrqvANm/erOTkZA0cOFBZWVlat26dEhMT5ePjo/bt26tOnTq2tomJiTp79qw6duyYY6pI+fLlFRoaqh9++EFJSUkKCgrKc59m3fLQul17tu/qt2EsKfUXZQyKmyvUWFiu1P8F5erH4ur1uxp3/AwUVEk45uLo/5JwnCWZq30GCnJy1q6wfffdd2vnzp3asmWLtm3bpjvvvFPh4eG666671KZNm2K9yHDPnj2SpLJly6pfv346cuSIbV2ZMmU0bNgwTZgwQZKUlJQkSXkGaWswv1XYTklJMfVNYM9c9+TkZMcXUoxKWv3Fdb1BUZS0PnMkV+j/gnL1cXL1+l2VO30GCqokvdfM7P+SdJwlmat8Bvz8/G7Zxq6wPW/ePGVlZWnPnj3atm2bYmNjtXz5ci1atEgeHh5q3Lix7fZ/HTt2tGcXBXbhwgVJ0qJFi9S4cWNFRUWpfv36io+P1yuvvKJ//etfqlWrlh555BGlpqZKUp5/DFiXW9vlxdfX14FH8D+GYSglJUW+vr45/lI6lsdrrCpXrmxKTY7iKvXnNwbFzVX6zJFKUv8XlDuMU37H4Ar1uxNX/AwUlCt8VhzR/65wnCWZO34G7L5AskyZMmrevLmaN2+up556StevX9dvv/2mX375RZ999pl+++03LVy4UPv27XNkvTlYzzB7enpq1qxZuv322yVJoaGhmjFjhvr166dFixbpkUcecdg+zR58i8VS6H24+huypNVvzxgUt5JeX1G4Qv8XlKsfh6vX76rc6TNQUCXpeM3s/5J0nCWZO30GinzrP8MwtHfvXtsdSXbs2KE///xTknK9WNHRrGejmzZtagvaVg0bNlStWrWUlJSkS5cuycfHR9KN+2znxrrc2g4AAAAoCrvCdkJCgi1cx8XFKTU1VYZhqGzZsmrUqJFtCkloaKij682hXr16kvIOyNblV65csc3JTkxMzLWtdU73zRdVAgAAAPayK2wPGDDAdnrfenGkNVwX9xMYrffyPnz4cI51GRkZOnr0qLy8vFSlShX5+/srICBAO3fuVHp6erY7kly9elVxcXEKCAggbAMAAMAhytjzoscff1wzZ85UTEyMoqOjNWHCBN17771OedR57dq11bFjRyUlJSkqKirbunnz5unSpUvq1q2bPDw8ZLFYNHjwYKWnp2vWrFnZ2s6dO1cpKSkaPHiw28wRAgAAgHPZdWb7pZdecnQdRfLaa6/p4Ycf1uTJk7V+/XrVq1dP+/bt07Zt2xQYGKgXX3zR1jYiIkI//vij7UmSTZo0UUJCgjZu3KhGjRopIiLCiUcCAAAAd2LXme2Spnbt2lq5cqUGDRqkvXv3atmyZUpKStKjjz6qqKgo+fv729p6eXlp2bJlGjZsmA4fPqxFixbp4MGDGjZsmJYtW5bjYTcAAACAvYp8N5KSokaNGpo6dWqB2vr4+GjSpEmaNGmSyVUBAACgNHOLM9sAAABASUTYBgAAAExC2AYAAABMUqCw/fjjj+vLL7+0/Xv79u06efKkWTUBAAAAbqFAYTs2NlbHjx+3/fvxxx9XdHS0aUUBAAAA7qBAYdvX11fJycm2fxuGYVY9AAAAgNso0K3/QkJCtHr1alWvXl3VqlWTJCUkJGSbWpKXAQMGFKU+AAAAwGUVKGw///zzGjFihN577z3bo8x/+OEH/fDDD3m+xjAMWSwWwjYAAABKrQKF7RYtWuj777/Xb7/9pjNnzmjixInq2rWrunbtanZ9AAAAgMsq8BMkvb291a5dO0nSxIkTdeedd2rgwIGmFQYAAAC4Orse156QkODoOgAAAAC3Y1fYvtmZM2eUkJCg1NRUeXt7q1GjRrr99tsdURsAAADg0uwO28eOHdNrr72mrVu35ljXrl07vfbaa6pTp06RigMAAABcmV1h+/Tp0xoyZIjOnz+v+vXrKzQ0VP7+/jp//rx27NihLVu26NFHH1VUVJRq1Kjh6JoBAAAAl2BX2I6MjNT58+f1xhtvaPDgwTnWR0VF6dVXX9WsWbP05ptvFrlIAAAAwBUV6AmSf/XLL7+oS5cuuQZtSRo8eLA6d+6sjRs3Fqk4AAAAwJXZFbYvXLighg0b5tumYcOGunjxol1FAQAAAO7ArrBdpUoVHTx4MN82hw4dUpUqVewqCgAAAHAHdoXtjh07asOGDYqKisp1/YoVK7RhwwZ16tSpSMUBAAAArsyuCyTHjBmjn376Sa+++qqWLl2qtm3bqmrVqrpw4YK2b9+uQ4cOyc/PT6NHj3Z0vQAAAIDLsCts16hRQ59//rleffVVxcTE5JhSEh4erv/3//4ft/0DAABAqWb3Q23q1KmjJUuW6PTp09q3b5/S0tJsT5AkZAMAAAAOeFx79erVVb16dUfUAgAAALgVuy6QBAAAAHBrhG0AAADAJIRtAAAAwCRFnrMNACheu6v0znd984tri6kSAMCtcGYbAAAAMAlhGwAAADAJ00gAAC6NaTUASjK7zmyfPHlSXbt21aZNmxxdDwAAAOA27ArbmZmZOnHihC5fvmxbtmrVKj3++OMOKwwAAABwdQWeRjJ8+HDdddddCg8Pl7e3d471J06c0Pbt2x1aHICSia/tAQAomAKH7ZSUFH344YfKyspSuXLlZLFY9PPPP6t69epq0qSJmTUCAAAALqnAYXvFihVKS0tTTEyMNmzYoBUrVmjlypWKjo5WhQoVVKlSJUnSr7/+qqZNm8rDg2svAQAAULoVKhF7e3ura9euatCggVasWKE33nhDVatWVWxsrNavXy/DMDRkyBBVqFBBLVu2VNu2bfXMM8+YVTsAAABQohX4AslPPvlEBw8elCRZLBZJkq+vr7p06aKJEydqwIABslgsmj17toYMGaL09HTNnj3bnKoBAAAAF1DgM9tvvvmmLBaL/Pz81KhRI1ksFl28eDFHu3vvvVf33nuvJOnKlSsOKxQAAABwNQUO2z///LO2bt2q7du3KyYmRoZhaMqUKZoxY4batm2r5OTkHK+pUKGCI2sFAAAOwB2FSh/G3HkKHLZvv/12DRgwQAMGDFBSUpLuu+8+Pfjgg7p+/bpiY2N19OhRWSwWtW/fXqGhoQoNDVXbtm3VqFEjM+sHAAAASiy7bhlinbPdoUMH9ejRQ5L0z3/+U/Pnz1f37t21fft2rVu3ThaLRfHx8Y6rFgAAAHAhDrs/X7ly5SRJU6ZMkSRdvHhRsbGxjto8AAAA4HLsCttVq1bV1KlT1axZszzbVKlSRT179rS7MAAojfKbV8mcSgBwPXaF7YoVK2rgwIHZloWFhTmkIAAAAMBdOGwaSVhYGIEbAAAAuEmBH2oDAAAAoHAI2wAAAIBJCNsAAACASRw2ZxsAAKA48DTE0slV79bklme258+fr5CQEIWEhOjXX3/NtU1aWpqmTp2qzp07q2nTpurcubOmTp2qtLS04i0WAAAAbsvtwvbvv/+uGTNmyMvLK8826enpGjp0qBYvXqy6detq2LBhql+/vhYvXqyhQ4cqPT29GCsGAACAu3KraSTXr1/XhAkTdOeddyooKEirV6/Otd2CBQsUHx+viIgIvfDCC7blM2bM0KxZs7RgwQKNHTu2uMoGAJRiuX01fuym/1+Svx4HcGtudWZ7/vz5SkhI0Ntvv62yZcvm2sYwDEVFRcnLy0ujRo3Ktu7pp5+Wr6+vVqxYIcMwiqNkAAAAuDG3ObN94MABzZw5UyNHjlTDhg3zbJeYmKizZ8+qY8eOOaaalC9fXqGhofrhhx+UlJSkoKCgXLdhVhC3btee7bv6Hwclpf6ijEFxK8k12lubK/V/QTnyWAq6LWfssyRz9WNwRv2uvs+S/DOopL4fS0pd9o6Bs+q3WCy3bOMWYTszM1MTJ05U/fr19dRTT+XbNikpSZLyDNJ16tSxtcurTUpKiqmDmpKSUujXJCcnO76QYlTS6rdnDIpbSeuzmxW1Nlfo/4Jy5DgVdFvO2GdJ5urH4Iz6XX2fJflnUEl9P5a0ugo7Bs6q38/P75Zt3CJsz5kzR/v379cXX3whT0/PfNumpqZKkry9vXNdb11ubZcbX19fOyvNn2EYSklJka+vb46/lI7l8RqrypUrm1KTo7hK/fmNQXEryX1mVm0lqf8LytF9kd/2rNtyxj5LspL8WSkIZ9Tv6vssyT+DSur7saTW9Vf2ZqGSUn9uXD5sJyQkaM6cOXriiSfUpEmTYtmn2SHAYrEUeh+uEkzyUtLqt2cMiltJrq+otblC/xeUI4+joNtyxj5LMlc/BmfU7+r7LMk/g0rq+7Gk1VXYMShp9d/M5S+QnDBhgmrVqqUxY8YUqL2Pj48k5Xk/betyazsAAADAXm5xZluSmjVrluv6hx56SJI0a9YsdevWzTYnOzExMdf21jnd1nbIH0/xAoDSjd8DQP5cPmw/8MADuS6Pi4tTYmKiunTpoipVqigwMFDSjQsjAwICtHPnTqWnp2e7I8nVq1cVFxengIAAwjYAAACKzOXD9ltvvZXr8okTJyoxMVFPP/20WrZsaVtusVg0ePBgzZo1S7Nmzcr2UJu5c+cqJSVFo0aNKtFzfwAAAOAaXD5s2yMiIkI//vij7UmSTZo0UUJCgjZu3KhGjRopIiLC2SUCAADADbj8BZL28PLy0rJlyzRs2DAdPnxYixYt0sGDBzVs2DAtW7Ysx8NuAAAAAHu47ZntadOmadq0aXmu9/Hx0aRJkzRp0qRirAoAAACliduGbbgvrnwHABQ3fvfAXqVyGgkAAABQHAjbAAAAgEkI2wAAAIBJCNsAAACASQjbAAAAgEm4GwkAoETi7g8A3AFntgEAAACTELYBAAAAkxC2AQAAAJMQtgEAAACTELYBAAAAkxC2AQAAAJNw6z8AwC1xGz4AN8vvZwI/D7LjzDYAAABgEsI2AAAAYBKmkQCAm2LqBwBXkNvPqmM3/X9X/1nFmW0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCTcjQR54k4GAAAARcOZbQAAAMAkhG0AAADAJIRtAAAAwCTM2QYciHnuAADgZpzZBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMwt1IAABArvK7wxJ3V3JP3FXL8TizDQAAAJiEsA0AAACYhGkkAEzBV5Eo7Rz9GWBKB+CaOLMNAAAAmISwDQAAAJiEsA0AAACYhLANAAAAmISwDQAAAJiEsA0AAACYhFv/AU5QUm/hxe36UFS8hwAgO85sAwAAACYhbAMAAAAmYRoJ3BZfZwMAAGfjzDYAAABgEsI2AAAAYBKmkQAujukyAACUXC4fts+cOaNvvvlGGzdu1OHDh3X+/Hn5+vqqdevWioiIUIsWLXK8Ji0tTZGRkVq3bp3OnTsnf39/9ejRQ2PGjJG3t7cTjgIAAADuyOXD9rJlyzR//nzVrl1b7du3V9WqVZWUlKT169dr/fr1ev/999W79//O/KWnp2vo0KGKj49Xhw4d1KdPHyUkJGjx4sWKiYnRZ599Ji8vLyceEQAAANyFy4ft5s2b69NPP1VoaGi25XFxcRo2bJimTJmibt26qVy5cpKkBQsWKD4+XhEREXrhhRds7WfMmKFZs2ZpwYIFGjt2bLEeA0o+pmoAAAB7uPwFkj169MgRtCUpNDRU4eHhSk5O1v79+yVJhmEoKipKXl5eGjVqVLb2Tz/9tHx9fbVixQoZhlEstQMAAMC9uXzYzo+Hh0e2/01MTNTZs2fVunXrHFNFypcvr9DQUJ05c0ZJSUnFXisAAADcj8tPI8nLyZMntWXLFvn7+ys4OFiSbCE6KCgo19fUqVPH1i6vNpJMO/Nt3a4923fG2fiC7LOgdTmy/qLs094xcORxOrrPSkrfFqRNUT4DJVVJ7f+Ctist70dncMY4FVRpeW/k9Tozfw/zfiw8Z+yzoCwWyy3buGXYzsjI0Isvvqhr165p/PjxKlu2rCQpNTVVkvK844h1ubVdXlJSUkwd1JSUlEK/Jjk5WZJ0rP6jebap9fun9paU7z6L2qYw7Ry5rfzaFXYMHHmcju4zR743ius47fkMSPkfo+T4z0BBlLT3dmHbOWOfBeWMfTqSM8apoErLeyMvRfk97Kh2xa20vB8dzc/P75Zt3C5sZ2Vl6aWXXtL27dv14IMPasCAAQ7fh6+vr8O3Kd34qywlJUW+vr45/lI6dovXVq5c+ZbtrG0KqiD7dERdN7crCDP3mdcYOHqfBRknV9+nI/u/oBz5PnPWPkvDe6OgnLFPR3LGOBVUaXlvFJbZv4eLUltRlZb3Y0nkVmHbMAxNnjxZq1evVr9+/TRlypRs6318fCTduM92bqzLre3yYk8IKAyLxVLofRSkvaPrduQ+HVmbI/ZZ2DFw5HE6us9ccZ/2fAYKwuzPrtn7LGnjZGa7krpPR3LGOBVUaXlv5Pd6M34PF6ZdcSst70dncJuwnZWVpZdfflnR0dHq27evpk2bpjJlsl//aZ2TnZiYmOs2rHO6re0AAID7++vtXW8+g2rGrV25nWzp4hZ3I7k5aPfu3VvTp0+3zdO+WVBQkAICArRz506lp6dnW3f16lXFxcUpICCAsA0AAACHcPmwfXPQ7tmzp959991cg7Z04yuGwYMHKz09XbNmzcq2bu7cuUpJSdHgwYNL9FcRAAAAcB0uP41k1qxZio6OlpeXl4KCgjR79uwcbbp166ZGjRpJkiIiIvTjjz/aniTZpEkTJSQkaOPGjWrUqJEiIiKK+xBwk/y+WuNrtdKNr10BAK7I5cP2iRMnJEnp6emaM2dOrm0CAwNtYdvLy0vLli3TzJkz9d133yk2NlbVqlXTsGHDNHr06BwPuwEAAADs5fJhe9q0aZo2bVqhXuPj46NJkyZp0qRJJlUFAAAAuEHYBgDgVpiGBMBZXP4CSQAAAKCkImwDAAAAJiFsAwAAACYhbAMAAAAmIWwDAAAAJiFsAwAAACbh1n8AnCq3W7Idu+n/m3FLNm4DB5RcPEkY7oYz2wAAAIBJCNsAAACASZhGAgB54Ots87h637p6/QCKD2e2AQAAAJMQtgEAAACTMI0EpV5+d8Pg62A4CndAcQ2MEwBH48w2AAAAYBLCNgAAAGASwjYAAABgEsI2AAAAYBLCNgAAAGAS7kYCAICb4G4qQMnDmW0AAADAJIRtAAAAwCSEbQAAAMAkzNkGAACAw3ENwQ2c2QYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATOLh7AIAAABgv91Veue5rvnFtcVYCXLDmW0AAADAJIRtAAAAwCSEbQAAAMAkhG0AAADAJIRtAAAAwCSEbQAAAMAk3PoPAAC4pfxuiSdxWzwUD85sAwAAACYhbAMAAAAmIWwDAAAAJiFsAwAAACYhbAMAAAAm4W4kpRBXZwMAABSPUn1me/fu3XryySfVtm1btWzZUg888ID+85//OLssAAAAuIlSe2Y7JiZGw4cPl6enp/r06SMfHx+tW7dO48eP14kTJzRixAhnlwgAAAAXVyrDdmZmpiZPniyLxaJPP/1UjRs3liSNGjVKDz/8sCIjI9WzZ08FBQU5t1AAAAC4tFI5jWTbtm06evSo+vbtawvakuTt7a1nnnlGmZmZio6OdmKFAAAAcAelMmzHxsZKkjp27JhjXYcOHbK1AQAAAOxVKqeRJCYmSpLq1KmTY52vr6/8/PyUlJSU5+sNwzClLut27dl+QV5T0O06sl1J3Rb7ZJ8laVvs07326er1s0/X2aej9ufodiV5n45msVhu3cZwVnVO9MQTT2jz5s1at25droG7W7duOn36tPbs2eOE6gAAAOAuSuU0EgAAAKA4lMqw7e3tLUlKTU3NdX1aWpp8fHyKsyQAAAC4oVIZtq239MttXnZKSor++OOPXKeXAAAAAIVRKsN227ZtJUm//PJLjnWbN2+WJIWFhRVrTQAAAHA/pTJst2vXTrVq1dLXX3+t+Ph42/K0tDR9/PHH8vDw0MCBA51YIQAAANxBqbwbiXTjwTYRERHy9PRU37595e3trXXr1un48eN67rnnNHLkyGKrZffu3YqMjNSvv/6qjIwMNWjQQH/72990//33F1sN7u6rr77Sjh07tGfPHh04cEAZGRmaOnWqBg0alGv7tLQ0RUZGat26dTp37pz8/f3Vo0cPjRkzxjbnHwV35swZffPNN9q4caMOHz6s8+fPy9fXV61bt1ZERIRatGiR4zWMgWNdunRJM2bM0G+//abjx48rJSVFfn5+qlu3rh599FH16NEjxy2sGANzzZ8/X++9954kafny5WrZsmWONoyBY3Xp0kUnTpzIdd1DDz2k119/Pdsy+t8c33//vT777DPt27dPly9fVrVq1dSyZUu98MILqlGjhq2du/R/qQ3b0o2QO2PGjBwht1+/fsVWQ0xMjIYPHy5PT0/16dNHPj4+ttA/btw4jRgxothqcWfWH7B+fn7y8vLSiRMn8gzb6enpeuSRRxQfH68OHTqocePGSkhI0KZNm9SoUSN99tln8vLycsJRuK733ntP8+fPV+3atdW2bVtVrVpVSUlJWr9+vQzD0Pvvv6/evXvb2jMGjpeUlKQBAwaoRYsWql27tipXrqwLFy5ow4YNunDhgh588EG98cYbtvaMgbl+//13DRgwQB4eHkpPT881bDMGjtelSxddunRJf/vb33Ksa9q0qTp37mz7N/3veIZh6LXXXtPy5ctVu3ZtdezYURUrVtTZs2e1fft2vfvuuwoNDZXkZv1vwGkyMjKMbt26GU2bNjX27t1rW56ammr06dPHaNy4sXHkyBHnFehGNm/ebBw/ftwwDMOYO3euERwcbKxcuTLXth999JERHBxsTJ8+PdflH330ken1upvvvvvO2L59e47l27dvN5o0aWKEhYUZV69etS1nDBwvMzPTyMjIyLE8NTXV6N27txEcHGwcOHDAtpwxME9mZqbxf//3f8YDDzxgjB8/3ggODjZ27dqVox1j4HidO3c2OnfuXKC29L/jLVmyxAgODjamTJliZGZm5lh/888od+r/Ujlnu6TYtm2bjh49qr59+6px48a25d7e3nrmmWeUmZmp6OhoJ1boPtq3b6/AwMBbtjMMQ1FRUfLy8tKoUaOyrXv66afl6+urFStWOO1JVa6qR48etrMVNwsNDVV4eLiSk5O1f/9+SYyBWcqWLSsPj5wPDfb29lbHjh0l/e8OTYyBuebPn6+EhAS9/fbbKlu2bK5tGAPnov8d78qVK5o1a5Zq1aqll156Kdf3vvVnlLv1P2HbiWJjYyXJ9ovuZh06dMjWBsUjMTFRZ8+eVevWrXN8PVW+fHmFhobqzJkzud42Evax/nC1/i9jULyuXr2qbdu2yWKxqEGDBpIYAzMdOHBAM2fO1MiRI9WwYcM82zEG5rl27ZpWrVqlOXPm6LPPPlNCQkKONvS/423evFnJycnq1q2bsrKytG7dOs2bN0+ff/55jn50t/7PeZoDxSYxMVGScr2nt6+vr/z8/FzmjeQurP1tvRf7X1nHKikpKc82KLiTJ09qy5Yt8vf3V3BwsCTGwGyXLl3SkiVLlJWVpQsXLmjjxo06deqURo8eneMZBIyBY2VmZmrixImqX7++nnrqqXzbMgbmOXfunCZOnJhtWadOnTR9+nRVqVJFEv1vhj179ki68S1bv379dOTIEdu6MmXKaNiwYZowYYIk9+t/wrYTpaWlSVKeT6v09vbW6dOni7OkUs/6VNG8rnK+1dNHUXAZGRl68cUXde3aNY0fP972lSJjYK5Lly5p5syZtn97enrqxRdf1BNPPGFbxhiYY86cOdq/f7+++OILeXp65tuWMTDHoEGDFBYWpgYNGqhcuXL6/fffNXPmTG3cuFHPPPOMPv/8c1ksFvrfBBcuXJAkLVq0SI0bN1ZUVJTq16+v+Ph4vfLKK/rXv/6lWrVq6ZFHHnG7/mcaCYBil5WVpZdeeknbt2/Xgw8+qAEDBji7pFLjjjvu0P79+7Vv3z798MMPGjt2rD744AONGTNGmZmZzi7PbSUkJGjOnDl64okn1KRJE2eXU2qNHj1aYWFhqlKliry9vdWiRQvNnTtXbdq00a5du/Tzzz87u0S3ZZ1f7enpqVmzZql58+aqWLGiQkNDNWPGDJUpU0aLFi1ycpXmIGw70a3+MktLS8vzrDfMYe1v67cOf3WrbyNwa4ZhaPLkyVq9erX69eunKVOmZFvPGBSPsmXL6o477tBTTz2l5557Tt9//72++OILSYyBGSZMmKBatWppzJgxBWrPGBSfMmXK2G4Du3PnTkn0vxmsmadp06a6/fbbs61r2LChatWqpaNHj+rSpUtu1/+EbSf66/zIm6WkpOiPP/7IdT43zGPtb+t8+r+yjhXjYh/rGe2VK1eqb9++mjZtmsqUyf5jiDEoftaLtK0XZDMGjpeQkKDDhw+rWbNmCgkJsf23atUqSTceqBISEqL169dLYgyKm5+fnyTp8uXLkuh/M9SrV09S3gHZuvzKlStu1//M2Xaitm3bau7cufrll1/Up0+fbOs2b94sSQoLC3NGaaVWUFCQAgICtHPnTqWnp2e7Cvrq1auKi4tTQECAy3zAS5KsrCy9/PLLio6OVu/evTV9+vRcb/3EGBS/M2fOSJJtPBgDx3vggQdyXR4XF6fExER16dJFVapUsd2ilDEoXrt375Yk+t9E4eHhkqTDhw/nWJeRkaGjR4/Ky8tLVapUkb+/v1v1P2e2nahdu3aqVauWvv76a8XHx9uWp6Wl6eOPP5aHh4cGDhzoxApLH4vFosGDBys9PV2zZs3Ktm7u3LlKSUnR4MGDczzWGvm7OWj37NlT7777bp73F2YMzBEfH5/rlLXk5GR98MEHkqS7775bEmNghrfeeivX/1q1aiXpxr2D33rrLTVq1EgSY2CGQ4cO6dKlSzmWx8XFadGiRSpXrpx69Oghif43g/WJkUlJSYqKisq2bt68ebp06ZK6desmDw8Pt+v/Uv249pJg27ZtioiIkKenp/r27Stvb2/b49qfe+45jRw50tkluoWoqCjt2LFD0o373O7du1etW7e2/VXcrVs3devWTVLOR8Q2adJECQkJ2rhxo+s9IraEiIyM1MyZM+Xl5aXHH38814erdOvWzRY0GAPHe+utt7RixQqFh4erZs2auu2223Ty5En99NNPSk9P13333acPP/zQNq2HMSgeEydO1KpVqwr0uHbGoGgiIyO1YMECtWvXToGBgSpXrpwOHDigzZs3q0yZMpoyZYoGDx5sa0//O97Ro0f18MMP68KFC7r33ntVr1497du3T9u2bVNgYKCWL18uf39/Se7V/4TtEmD37t2aMWOGfv31V2VkZKhBgwb629/+pn79+jm7NLdh/YWWl9GjR2e7cCk1NVUzZ87Ud999p/Pnz6tatWq67777NHr0aJe5IKMkuVX/S9LUqVNtFylJjIGjxcXFaeXKlfr111919uxZXblyRb6+vmrcuLEGDBigPn365DhLxBiYL7+wLTEGjhQbG6vPPvtM+/bt0/nz53Xt2jVVrVpVbdq00bBhw9S8efMcr6H/He/UqVOaMWOGNm3apOTkZFWrVk1dunTRqFGjVLVq1Wxt3aX/CdsAAACASZizDQAAAJiEsA0AAACYhLANAAAAmISwDQAAAJiEsA0AAACYhLANAAAAmISwDQAAAJiEsA0AAACYhLANAAAAmISwDQBu5Pjx4woJCdHEiRNtyx577DGFhIQ4pZ7o6GiFhIQoOjraKfsHAGcjbAMA8hQTE6OQkBBFRkaWyv0DQFF5OLsAAIC53nnnHV2+fNkp++7evbtatGihgIAAp+wfAJyNsA0Abq5mzZpO27ePj498fHyctn8AcDamkQCAC7p+/brmzZun7t27q1mzZurevbvmzp0rwzBytM1tznZWVpaioqL0wAMPKCwsTC1atFCXLl30zDPPaPv27ZKkyMhIPf7445KkmTNnKiQkxPbf8ePHJUkTJ05USEiIjh07psWLF6tPnz5q2rSpbc54fnO2jx07pldffVVdunRR06ZN1a5dOz322GO2tgXZPwCUdJzZBgAX9Morr2jlypW644479Oijj+rq1atatGiRdu3aVaDXv//++1qwYIFq166tvn37qmLFijpz5ozi4uK0bds2tW3bVmFhYRo4cKBWrVqlsLAwhYWF2V5fqVKlbNt744039N///lf33HOP7r33XlWrVi3f/e/atUtPPvmk0tLS1LFjR/Xp00cpKSmKj4/X0qVLNWjQoELtHwBKKsI2ALiYmJgYrVy5Unfeeac+//xzeXl5SZJGjBih/v37F2gbK1as0O23367Vq1frtttusy03DEMpKSmSpPDwcEmyhd0xY8bkub39+/dr1apVBZqycu3aNY0bN05//vmn5s2bp7vvvjvb+tOnTxd6/wBQUjGNBABczJdffilJGjVqlC1oS9Ltt99um3ZREJ6enipbtmy2ZRaLRZUrVy50TcOHDy/w3PAffvhBp06dUr9+/XIEbUmqXr16ofcPACUVYRsAXMz+/fslSaGhoTnW5bYsNz179tTx48d1//3368MPP9SWLVuUnp5ud03NmzcvcNvdu3dLkjp06GD3/gDAVRC2AcDFpKamqkyZMvLz88uxrmrVqgXaxuTJk/XCCy/Iw8NDs2fP1t///nfdddddmjBhgi5evFjomgq6X+lG/dKNM/EA4O6Ysw0ALsbHx0dZWVn6448/VKVKlWzrLly4UKBteHp6KiIiQhERETpz5oy2b9+u6Ohoffnllzp//rwWLlxYqJosFkuh6pekM2fOFGofAOCKOLMNAC7Gehu/uLi4HOtyW3Yrt99+u/r27asFCxYoKChIW7Zs0ZUrVyTJNqf7+vXrRag4O+uUk82bN9+yrRn7B4DiRNgGABczYMAASdKsWbOyzbM+c+aMli5desvXX7t2TVu3bs1xT+709HT9+eef8vDwUJkyN349+Pr62rbtKF27dlX16tW1evVqbdq0Kcf6m/dlxv4BoDgxjQQAXEx4eLgGDRqk6Oho3X///erevbuuXbumtWvXqmXLltqwYUO+r79y5YqGDRumWrVqqUWLFqpRo4bS09P1008/6dy5c3ryySdVrlw5SVK9evUUEBCgNWvWqEKFCqpevbosFouGDBli95Mhy5Urpw8//FARERF68skn1alTJ915551KS0tTfHy8rly5Yrvjihn7B4DiRNgGABf05ptvqm7duvriiy/0ySefqHr16vr73/+uXr163TJs33bbbRo/fry2bdumuLg4XbhwQb6+vqpXr57Gjx+v3r1729qWLVtWM2fO1HvvvaevvvpKf/75pySpd+/eRQq7rVq10qpVqzR37lz98ssv2rp1qypVqqT69evr4YcfNn3/AFBcLEZuz/YFAAAAUGTM2QYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAExC2AYAAABMQtgGAAAATELYBgAAAEzy/wEnKnlgBdoHngAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"district_counts = FERTILITY.groupby(\"district\").count()[\"woman\"]\n",
"plt.bar(district_counts.index, district_counts)\n",
"plt.xlabel(\"district\")\n",
"plt.ylabel(\"# of women\")\n",
"plt.title(\"Variation in district-level sampling\");"
]
},
{
"cell_type": "markdown",
"id": "041e7b4d",
"metadata": {},
"source": [
"## Start simple: varying districts\n",
"- **Estimand**: contraceptive use in each district; partially pooled\n",
"- **Model**:\n",
" - varying intecept/offset for each district"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "8ec8f9ed",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"D \n",
"\n",
"district, D \n",
" \n",
"\n",
"\n",
"C \n",
"\n",
"contraceptive use, C \n",
" \n",
"\n",
"\n",
"D->C \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"D\", \"C\"),\n",
" ],\n",
" node_props={\n",
" \"D\": {\"label\": \"district, D\"},\n",
" \"C\": {\"label\": \"contraceptive use, C\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "b3854688-05b9-4635-9567-9883be190fcd",
"metadata": {},
"source": [
"\n",
"$$\n",
"\\begin{align*}\n",
"C_i &\\sim \\text{Bernoulli}(p_i) &\\text{Contraception use is 0/1 outcome} \\\\\n",
"\\text{logit}(p_i) &= \\alpha_{D[i]} &\\text{log odds of C=1} \\\\\n",
"\\alpha_j &\\sim \\text{Normal}(\\bar \\alpha, \\sigma) &\\text{prior for districts; regularizer} \\\\\n",
"\\bar \\alpha &\\sim \\text{Normal}(0, 1) &\\text{average district} \\\\\n",
"\\sigma &\\sim \\text{Exponential}(1) &\\text{std. dev amongst districts}\n",
"\\end{align*}\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "d2d8e489",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [sigma, alpha_bar, alpha]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "cf4bb0dc53d84389a877b98dbee16a08",
"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 3 seconds.\n"
]
}
],
"source": [
"USES_CONTRACEPTION = FERTILITY[\"use.contraception\"].values.astype(int)\n",
"DISTRICT_ID, _ = pd.factorize(FERTILITY.district)\n",
"DISTRICT = np.arange(1, 62).astype(\n",
" int\n",
") # note: district 54 has no data so we create it's dim by hand\n",
"\n",
"with pm.Model(coords={\"district\": DISTRICT}) as district_model:\n",
" # Priors\n",
" ## Global priors\n",
" sigma = pm.Exponential(\"sigma\", 1) # variation amongst districts\n",
" alpha_bar = pm.Normal(\"alpha_bar\", 0, 1) # the average district\n",
"\n",
" # District-level priors\n",
" alpha = pm.Normal(\"alpha\", alpha_bar, sigma, dims=\"district\")\n",
"\n",
" # p(contraceptive)\n",
" p_C = pm.Deterministic(\"p_C\", pm.math.invlogit(alpha), dims=\"district\")\n",
"\n",
" # Likelihood\n",
" p = pm.math.invlogit(alpha[DISTRICT_ID])\n",
" C = pm.Bernoulli(\"C\", p=p, observed=USES_CONTRACEPTION)\n",
"\n",
" district_inference = pm.sample()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "13c890d3",
"metadata": {},
"outputs": [],
"source": [
"def plot_survival_posterior(\n",
" inference,\n",
" sigma=None,\n",
" color=\"C0\",\n",
" var=\"p_C\",\n",
" hdi_prob=0.89,\n",
" data_filter=None,\n",
" title=None,\n",
" ax=None,\n",
"):\n",
"\n",
" if ax is None:\n",
" _, ax = plt.subplots(figsize=(10, 4))\n",
"\n",
" def reorder_missing_district_param(vec):\n",
" \"\"\"\n",
" It appears that pymc tacks on the estimates for district with no data\n",
" (54) onto the end of the parameter vector, so we put it into the correct\n",
" position with this closure\n",
" \"\"\"\n",
" vec_ = vec.copy()\n",
" end = vec_[-1] # no data is district 54 (index 53)\n",
" vec_ = np.delete(vec_, -1)\n",
" vec_ = np.insert(vec_, 52, end)\n",
" return vec_\n",
"\n",
" # Filter the dataset for urban/rural if requested\n",
" if data_filter == \"urban\":\n",
" data_mask = (FERTILITY.urban).astype(bool)\n",
" elif data_filter == \"rural\":\n",
" data_mask = (1 - FERTILITY.urban).astype(bool)\n",
" else:\n",
" data_mask = np.ones(len(FERTILITY)).astype(bool)\n",
"\n",
" plot_data = FERTILITY[data_mask]\n",
" district_counts = plot_data.groupby(\"district\").count()[\"woman\"]\n",
" contraceptive_counts = plot_data.groupby(\"district\").sum()[\"use.contraception\"]\n",
" proportion_contraceptive = contraceptive_counts / district_counts\n",
"\n",
" plt.sca(ax)\n",
" utils.plot_scatter(\n",
" xs=proportion_contraceptive.index,\n",
" ys=proportion_contraceptive.values,\n",
" color=\"k\",\n",
" s=50,\n",
" zorder=3,\n",
" alpha=0.8,\n",
" label=\"raw proportions\",\n",
" )\n",
"\n",
" # Posterior per-district mean survival probability\n",
" posterior_mean = inference.posterior.mean(dim=(\"chain\", \"draw\"))[var]\n",
" posterior_mean = reorder_missing_district_param(posterior_mean.values)\n",
"\n",
" utils.plot_scatter(\n",
" DISTRICT, posterior_mean, color=color, zorder=50, alpha=0.8, label=\"posterior means\"\n",
" )\n",
"\n",
" # Posterior HDI error bars\n",
" hdis = az.hdi(inference.posterior, var_names=var, hdi_prob=hdi_prob)[var].values\n",
"\n",
" error_upper = reorder_missing_district_param(hdis[:, 1]) - posterior_mean\n",
" error_lower = posterior_mean - reorder_missing_district_param(hdis[:, 0])\n",
" utils.plot_errorbar(\n",
" xs=DISTRICT,\n",
" ys=posterior_mean,\n",
" error_lower=error_lower,\n",
" error_upper=error_upper,\n",
" colors=color,\n",
" error_width=8,\n",
" )\n",
"\n",
" # Add empirical mean\n",
" empirical_mean = FERTILITY[data_mask][\"use.contraception\"].mean()\n",
" plt.axhline(y=empirical_mean, c=\"k\", linestyle=\"--\", label=\"global mean\")\n",
"\n",
" plt.ylim([-0.05, 1.05])\n",
" plt.xlabel(\"district \")\n",
" plt.ylabel(\"prob. use contraception\")\n",
" plt.title(title)\n",
" plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "e2167505-e254-4032-add7-116da697745b",
"metadata": {},
"source": [
"#### District-only model posterior predictions"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "4a919511-a394-4a9b-8645-53dd6508ccfa",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_survival_posterior(district_inference, title=\"District Model\")"
]
},
{
"cell_type": "markdown",
"id": "95a63dc7-28cf-4184-aa53-8be1cdebd7ea",
"metadata": {},
"source": [
"### Studying the posterior graph\n",
"\n",
"Districts with small sample sizes (e.g. district 3) have\n",
"\n",
"- larger error bars -- exhibiting more uncertainty estimate\n",
"- exhibit more shrinkage\n",
" - posteriors are pulled toward the global mean (dashed line)\n",
" - red circles are far from black circles) b.c. the model is less confident\n",
" \n",
"Districts with large sample sizes (e.g. district 1) have\n",
"\n",
"- smaller error bars -- more certainty about estimates\n",
"- less shrinkage\n",
" - posteriors are closer to the empirical observations for the district\n",
" \n",
"Districts with no data (e.g. district 49) still have posteriors\n",
"\n",
"- informed posterior from partial pooling\n",
"- mean is near globla mean\n",
"- error bars larger than for other districts (looks like i may have an indexing bug in my errorbar code--need to look into that)"
]
},
{
"cell_type": "markdown",
"id": "3648c832",
"metadata": {},
"source": [
"## Varying districs + urban"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "a7a90930-4d8c-4b19-acf6-2fefd73a5883",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
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],
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"A\", \"C\"),\n",
" (\"K\", \"C\"),\n",
" (\"U\", \"C\"),\n",
" (\"D\", \"C\"),\n",
" (\"D\", \"U\"),\n",
" (\"U\", \"K\"),\n",
" (\"A\", \"K\"),\n",
" (\"D\", \"K\"),\n",
" ],\n",
" node_props={\n",
" \"A\": {\"color\": \"lightgray\"},\n",
" \"K\": {\"color\": \"lightgray\"},\n",
" },\n",
" edge_props={(\"A\", \"K\"): {\"color\": \"lightgray\"}, (\"A\", \"C\"): {\"color\": \"lightgray\"}},\n",
")"
]
},
{
"cell_type": "markdown",
"id": "e2a52ab9-9429-47bc-a8fd-df4a22f4334e",
"metadata": {},
"source": [
"- What is the effect of urban living?\n",
"- Beware:\n",
" - district features have potential group-level confounds\n",
" - Total effect of $U$ passes through $K$\n",
" - Do not stratify by $K$ -- it's a collider, that opens up the district-level confound through $D$"
]
},
{
"cell_type": "markdown",
"id": "2d3daadf-0d29-42bb-83fb-4212d7e62ee2",
"metadata": {},
"source": [
"### Statistical Model"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "8086bf0f",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
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" \n",
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"\n",
"D \n",
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"district, D \n",
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"C \n",
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"contraceptive use, C \n",
" \n",
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"D->C \n",
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],
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"D\", \"C\"),\n",
" (\"U\", \"C\"),\n",
" ],\n",
" node_props={\n",
" \"D\": {\"label\": \"district, D\"},\n",
" \"C\": {\"label\": \"contraceptive use, C\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "0f854752-17cf-401d-b873-bc54c52ce422",
"metadata": {},
"source": [
"$$\n",
"\\begin{align*}\n",
"C_i &\\sim \\text{Bernoulli}(p_i) \\\\\n",
"\\text{logit}(p_i) &= \\alpha_{D[i]} + \\beta_{D[i]} U_i &\\text{include urban effect}\\\\\n",
"\\alpha_j &\\sim \\text{Normal}(\\bar \\alpha, \\sigma) &\\text{regularizing prior for district}\\\\\n",
"\\bar \\alpha &\\sim \\text{Normal}(0, 1) &\\text{district average prior} \\\\\n",
"\\sigma &\\sim \\text{Exponential}(1) &\\text{district std prior} \\\\\n",
"\\beta_j &\\sim \\text{Normal}(\\bar \\beta, \\tau) &\\text{regularizing prior for urban effect} \\\\\n",
"\\bar \\beta &\\sim \\text{Normal}(0, 1) &\\text{urban average prior} \\\\\n",
"\\tau &\\sim \\text{Exponential}(1) &\\text{urban std prior}\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "e0daad1b-e4d0-42f2-9ab0-1788ea1c6087",
"metadata": {},
"source": [
"### Fit the district-urban model\n",
"We use the non-centered prior version here -- details about non-centered will be discussed later"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "d6fb68c6",
"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_bar, sigma, z_alpha, beta_bar, tau, z_beta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "73fb675d3be847f599897ef135fdfb16",
"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 9 seconds.\n"
]
}
],
"source": [
"URBAN_CODED, URBAN = pd.factorize(FERTILITY.urban, sort=True)\n",
"\n",
"with pm.Model(coords={\"district\": DISTRICT}) as district_urban_model:\n",
"\n",
" # Mutable data\n",
" urban = pm.Data(\"urban\", URBAN_CODED)\n",
"\n",
" # Priors\n",
" # District offset\n",
" alpha_bar = pm.Normal(\"alpha_bar\", 0, 1) # the average district\n",
" sigma = pm.Exponential(\"sigma\", 1) # variation amongst districts\n",
"\n",
" # Uncentered parameterization\n",
" z_alpha = pm.Normal(\"z_alpha\", 0, 1, dims=\"district\")\n",
" alpha = alpha_bar + z_alpha * sigma\n",
"\n",
" # District / urban interaction\n",
" beta_bar = pm.Normal(\"beta_bar\", 0, 1) # the average urban effect\n",
" tau = pm.Exponential(\"tau\", 1) # variation amongst urban\n",
"\n",
" # Uncentered parameterization\n",
" z_beta = pm.Normal(\"z_beta\", 0, 1, dims=\"district\")\n",
" beta = beta_bar + z_beta * tau\n",
"\n",
" # Recored p(contraceptive)\n",
" p_C = pm.Deterministic(\"p_C\", pm.math.invlogit(alpha + beta))\n",
" p_C_urban = pm.Deterministic(\"p_C_urban\", pm.math.invlogit(alpha + beta))\n",
" p_C_rural = pm.Deterministic(\"p_C_rural\", pm.math.invlogit(alpha))\n",
"\n",
" # Likelihood\n",
" p = pm.math.invlogit(alpha[DISTRICT_ID] + beta[DISTRICT_ID] * urban)\n",
" C = pm.Bernoulli(\"C\", p=p, observed=USES_CONTRACEPTION)\n",
"\n",
" district_urban_inference = pm.sample(target_accept=0.95)"
]
},
{
"cell_type": "markdown",
"id": "2fbe77e0-0d19-4220-90dc-cc2d9d2c371d",
"metadata": {},
"source": [
"#### Summarize the urban-district posterior"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "6b8c791b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" alpha_bar \n",
" -0.702 \n",
" 0.090 \n",
" -0.869 \n",
" -0.533 \n",
" 0.002 \n",
" 0.001 \n",
" 3586.0 \n",
" 3206.0 \n",
" 1.00 \n",
" \n",
" \n",
" beta_bar \n",
" 0.620 \n",
" 0.151 \n",
" 0.341 \n",
" 0.909 \n",
" 0.002 \n",
" 0.001 \n",
" 5350.0 \n",
" 3183.0 \n",
" 1.00 \n",
" \n",
" \n",
" tau \n",
" 0.543 \n",
" 0.212 \n",
" 0.135 \n",
" 0.953 \n",
" 0.007 \n",
" 0.005 \n",
" 1014.0 \n",
" 1022.0 \n",
" 1.01 \n",
" \n",
" \n",
" sigma \n",
" 0.487 \n",
" 0.087 \n",
" 0.329 \n",
" 0.645 \n",
" 0.002 \n",
" 0.001 \n",
" 1856.0 \n",
" 2535.0 \n",
" 1.00 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"alpha_bar -0.702 0.090 -0.869 -0.533 0.002 0.001 3586.0 \n",
"beta_bar 0.620 0.151 0.341 0.909 0.002 0.001 5350.0 \n",
"tau 0.543 0.212 0.135 0.953 0.007 0.005 1014.0 \n",
"sigma 0.487 0.087 0.329 0.645 0.002 0.001 1856.0 \n",
"\n",
" ess_tail r_hat \n",
"alpha_bar 3206.0 1.00 \n",
"beta_bar 3183.0 1.00 \n",
"tau 1022.0 1.01 \n",
"sigma 2535.0 1.00 "
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.summary(district_urban_inference, var_names=[\"alpha_bar\", \"beta_bar\", \"tau\", \"sigma\"])"
]
},
{
"cell_type": "markdown",
"id": "cf50d8ef-91cb-433e-bf46-736d3da5b6bd",
"metadata": {},
"source": [
"#### Compare posterior predictive for urban/rural form single model fit jointly"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "d8892ccd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving figure to images/fertility_posterior_means_rural_urban.png\n"
]
},
{
"data": {
"image/png": 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QDKUu6cHGxo0bkZSUhL///hv+/v4AgPbt20OlUmHHjh0YP348556trKywevVqzfBsFxcXDB8+HOfOnUPfvn2Rnp6O2NhYzJ07FwMHDtQc16NHj9e+FxWpWnazv379Ovbu3Yu9e/fi3r17AIAbN25o0sraleH777/HV199BYZhsHnzZkRERKBz5874+++/4eXlVZG3QAghhBBCCDGS4t22/f39OYE8AIwdOxa2tractMrqAq0rqMvNzcUvv/yC7t27w8/PD35+fggMDIREIsGTJ080+UJDQyGVSjXDgy9duoR27dqhbdu2uHTpEoD83sUFecuif//+nO3evXtDIBAgMjKSk+7j46P1sOPKlSsIDQ3VBPIFBg8ejLy8PK2u8f369eME1W5ubggMDNRcKzY2FsnJyRg4cKAmkAfyA+gePXrg1q1bWpMZljdIvnLlCry8vDSBfIEhQ4aAZVlcuXKFk96pUyfOPGu+vr4AoBkSYW9vj3r16mm648fExHC661eVatky//PPP5d5WYGpU6dyWuSL4vF4GDt2LMaOHWvM4hFCCCGEEEIqkUwm42y7ublp5TEzM0Pt2rU53Z6LH1dRdHX3njFjBq5cuYJJkyahefPmsLKyAsMw+OCDDzjlCgwMhKWlJS5fvow6deogPj4ebdu2RWJiIrZs2YLc3FxcunQJHh4emm7rr+Ps7MzZFggEsLe3R0ZGRqn5ACAjI0NnesE9Fj9HQYt58bQHDx4AANLT00u8louLi2bN9aKT3JXUfb6sMjIydNaRku7B3t6es10wRLvgfWIYBps2bcKKFSuwbt06/Pzzz7C3t0f//v0xbdq0UldJq0jVMpgnhBBCCCGEkAJF58YC8idfk8lkMDc316QlJCTg8ePHnHy1atWqlPIVl52djYiICEyZMgUffPCBJl0ulyMzM5OTVygUolWrVrh06RJcXV3h7OwMHx8fTeAeFRWFy5cvo3PnzmW+fkpKClxdXTXbSqUSGRkZWkGrrm7q9vb2SElJ0UpPTk4GADg4OHDSU1NTtfKmpqZqrlWQv6RzFqy5bkz63kNZuLm54aeffgKQ39vg6NGjWL58OeRyOb7//vvyFdhA1bKbPSGEEEIIIYQUKN6lXiwWY+7cuZrg7MmTJ5g9ezan67OlpSVatWpVqeUswDAMWJbVtPAW+Pvvv6FSqbTyh4aG4t69ewgPD9d0pReJRAgICMCWLVuQnJxc5i72QP6Ec0UdPXoUSqUSrVu3fu2xoaGhuHLlCpKSkjjp+/fvh6WlJVq0aMFJP3ToEGeG/fj4eNy8eVNzLU9PT7i6umrlk0gkCA8PR4sWLcq0lF/BaymVSst0D48fP9YM2S6wb98+MAyDkJCQ156jNJ6enpg0aRK8vb11ztxfWahlnhBCCCGEEFKteXl5ITAwkDNe++zZszh79ixsbW11zijep08fWFlZVWYxNaytrREcHIz169fDwcEBbm5uiIqKwj///KOzFTo0NBQqlQqXL1/GwoULOenLli0DwzBo06ZNma9/4sQJ8Pl8tGvXDo8ePcLSpUvh6+uL3r17v/bYyZMn48yZMxg3bhwmT54MOzs7HDx4EBEREZg1axZn8jsg/8HK5MmTMWLECGRnZ2PZsmUQCoX48MMPAeQPfZ41axZmzpyJDz/8ECNHjoRcLsf69euRlZWFGTNmlOmevL29AQBr165FWFgYBAIBfH19tR6YAMA777yDffv24cMPP8Qnn3yCunXrIiIiAtu2bcNbb72l96SIDx48wA8//IBevXqhfv36MDMzw5UrV/Dvv/9yel5UNgrmCSGEEEIIIdXe9OnT8d5770Eul3PSdQXyTk5OWkuoVbZFixbhxx9/xC+//AKlUomWLVti48aNmiC3KD8/Pzg4OCA9PZ3TAt+2bVssW7ZMs7+sli1bhmXLlmH79u1gGAZdunTB3LlzdQa+xTVs2BA7duzA4sWL8f3330MqlaJRo0ZYsGABhgwZopV/+vTpuHPnDubMmYOcnBz4+/tj8eLFqFevniZP//79YWlpiTVr1mD69Ong8/kICAjAX3/9pVl673X69euHGzduYPv27Vi5ciVYlsWpU6fg7u6uldfR0RE7duzAokWLsGjRIuTm5sLd3R2zZs3ChAkTynS9opydnVGvXj1s27YNiYmJAAAPDw988cUXVTo/G8MW7etAqgzLsppxLGVZO5IQqjNEX1RniL6ozhB9UZ0hukilUs0ScRYWFpx9LMu+dpmxoi5fvozPP/9ca/bzolxcXLBs2TI0atSo3GU3NcuWLcPy5ctx+fJlrXkGjC0yMhLjxo3D0qVLOUvwVTR960x1U9rfg75ozDwhhBBCCCHEJISGhmLHjh0YNmwYRCIRZ5+joyMmTpyI7du3v5GBPHnzUDd7QgghhBBCiMlwc3PD7Nmz8emnn+LRo0eQSCSwtbVF48aNYWZmVtXFI6TSUDf7aoK6pRF9UZ0h+qI6Q/RFdYboi+oM0cWY3ewJMfU6Q93sCSGEEEIIIYSQNxgF84QQQgghhBBCiImhYJ4QQgghhBBCCDExFMwTQgghhBBCCCEmhoJ5QgghhBBCCCHExFAwTwghhBBCCCGEmBhaZ54QQgghhBBiUpTp2cg+dQ3yp6+glsnBE1nAwrcebDq3BE9UvuW+CDEVFMwTQgghhBBCTILiVRrSNhxCTkQ0WJWKsy/r8CWkrtwL215t4Di+N/i2oioqJSGVg7rZE0IIIYQQQqq9vHuxePHRL8g+dV0rkC+gzpMhY+9ZvJy8CIqE1EouYeVZtWoVTp48WSHnjouLg4+PD/bs2VMh5yfGQ8E8IYQQQgghpFqTPXuFhNmroM6WlCm/Ij4F8V/8AVVWbgWXrGqsXr26woJ5FxcX7Ny5E506daqQ8xPjoWCeEEIIIYQQUq2lLNkFdW4eJ40xM4N1p0A4jO4OUWs/gMcNbRTxKUjbcLgyi2nSVCoV5HI5hEIhWrRoAUdHR6OcVyqVgmVZo5yLcFEwTwghhBBCCKm2ZI/jkHfnCSdNFNwEDXbMQ51vJsDpvf5w+/kj1N80F0LPupx8WcejoMrhPgQwpmXLlsHHxwcxMTGYMmUKWrZsiVatWmHmzJkQi8WcvGq1GmvXrkWvXr3QrFkzhIaG4vPPP0diYiInX0xMDD788EOEhoaiWbNmCAsLwwcffKDJ5+PjA4lEgr1798LHxwc+Pj4YO3as5viUlBR888036NChA5o1a4YuXbpg+fLlUCqVmjwFXenXrl2LlStXokuXLmjevDmuXLlSYjf7a9euYfz48QgMDERAQABGjRqFiIgITp49e/bAx8cHFy5cwJw5c9CmTRsEBARALpfrfP0iIyPh4+ODgwcP4pdffkFYWBgCAwPx0UcfITU1FTk5Ofj6668REhKCkJAQzJkzB7m53N4WLMti69atGDhwIPz9/REcHIxPPvkEL1++5OS7ePEiPv74Y3To0AHNmzdH9+7d8c0332i9TwXv6aNHj/DZZ5+hVatWaNu2LebMmYPs7GxO3qNHj2L48OFo1aoVAgIC0LVrV8yZM0fnvVYEmgCPEEIIIYQQUm1lHrrE2ebb26DOvIngWZpz0oXuLqjz3bt4/s6PgFoNAGBlcmSfvAb7Qe0rtIxTpkxBr169MGrUKDx+/BhLly7FkydPsGvXLpiZmQEA5s2bh507d2LMmDHo1KkT4uPjsXTpUkRFRWHPnj1wdHSERCLBhAkT4O7ujm+++QZOTk5ISUlBZGSkJojduXMnxo8fj5CQEEyaNAkAYG1tDSA/kB8+fDh4PB4mT56MevXq4ebNm/jjjz8QHx+PBQsWcMq9efNmNGjQAF988QWsra1Rv359nfcXFRWFiRMnwtvbGz/++COEQiG2b9+Ojz76CIsXL0afPn04+efOnYtOnTrhf//7H/Ly8iAQlB52LlmyBCEhIViwYAHi4+OxcOFCfPbZZxAIBPDx8cHixYsRExODJUuWQCQScQLmb775Bnv37sXYsWMxc+ZMZGZmYsWKFRg1ahT2798PJycnAMCLFy8QGBiI4cOHw8bGBvHx8di4cSNGjx6NgwcPat6nAlOnTkWfPn0wbNgwPHz4EIsWLQIAzWt48+ZNTJ8+HX369MGUKVNgbm6OhIQEXLlypdR7NSYK5gkhhBBCCCHVljTmGWfbtm+oViBfQOjuDKsQP+Revss9voKD+e7du+Pzzz8HAISFhaFWrVqYOXMmjh49igEDBuDJkyfYuXMnRo8eja+//lpznJ+fH4YPH44///wT06dPx9OnT5GRkYEff/wR3bp10+QrGiy3aNECPB4Pjo6OaNGiBaccy5YtQ2ZmJg4fPoy6dfN7KYSGhsLCwgILFy7Eu+++Cy8vL01+c3NzrF+/nhPIxsXFad3fokWLYGtri82bN8PKygoA0LlzZwwaNAgLFy5E7969wTCMJn9oaCi+//77Mr9+3t7enAcNT58+xZ9//omxY8fiiy++AAC0a9cO0dHROHjwoCaYj46Oxq5duzB79mxMmDBBc3xQUBB69uyJjRs3YtasWQCAt956S7OfZVkEBgaidevW6Ny5M86dO4euXbtyyjRs2DC89957AIC2bdvi+fPn2L17N3766ScwDIObN2+CZVl89913sLGx0Rw3ZMiQMt93eRnczf7x48eYN28ehg4dih49eqBr165a/xWtgIQQQgghhBCir+Ld5C28PUrNb+HLbV1WV2A3+wL9+/fnbPfu3RsCgQCRkZEAoPn/4MGDOfn8/f3RqFEjXL58GQBQv3592NnZ4ddff8X27dvx+PFjvcoRERGBkJAQuLi4QKlUav7r0KEDgPwW9qK6dOmi1SJdnEQiwa1bt9CzZ09NIA8AfD4fAwYMQGJiIp4+fco5pkePHnqVu3PnzpztRo0aAYDWJHyNGjVCZmamppfCmTNnwDAMBgwYwLlfJycn+Pr6cu43LS0N33zzDTp27Ag/Pz80bdpUc90nT7jDOID816YoHx8fyGQypKWlAQCaN28OAJg2bRqOHDmCpKQkve7ZGAxqmY+KisJ7770HuVwOgUCAWrVqgc/na+WjiQ4IIYQQQggh5cEz5wabiiRxCTn/25+YxtlmLIVGL1Nxzs7OnG2BQAB7e3tkZGQAgOb/Li4uWse6uLggISEBAGBjY4PNmzdj1apVWLJkCTIzM+Hs7IwRI0bg448/fm3gnZaWhjNnzqBp06Y696enp5dabl2ysrLAsqzOvAX3U3B/+py3KDs7O852wX2WlF4wBj8tLQ0sy6Jt27Y6z+vhkf/gR61WY+LEiUhOTsakSZPg7e0NS0tLsCyLESNGQCaTaR1rb2/P2RYK8+uRVCoFAAQHB2PFihXYvHkzvvjiC8jlcjRu3BgfffQR+vXrp8/tG8ygYH7RokVQqVSYP38+Bg8erDOQJ4QQQgghhJDyEjaoA/nzwkniso5Gwn5oJ0637gLqXClyzkZzj69Xu6KLiJSUFLi6umq2lUolMjIyNAFhwf+Tk5NRuza3PMnJyXBwcNBs+/j4YMmSJWBZFv/++y/27NmDFStWwMLCAh988EGp5XBwcICPjw+mTZumc3/xhwm6XsPibG1twePxkJKSorUvOTlZc119z2sMDg4OYBgGW7du1QTbRRWkPXz4EA8ePMDPP//M6R3x/Pnzcl2/W7du6NatG+RyOaKjo7F69WrMmDEDbm5uCAwMLNe5y8KgbvYPHjzQTAZAgTwhhBBCCCGkotj2bM3ZlscmQPznUa1ewKxCiaTFO6CWSAsTGQa2PYIrvIwHDx7kbB89ehRKpRKtW+eXvU2bNgCAAwcOcPLdvn0bT5480ewvimEY+Pr6Yu7cubC1tcW9e/c0+4RCoaaFuKhOnTrh4cOHqFevHpo3b671X9EHDmUlEokQEBCAEydOcK6pVqtx4MAB1K5dG56ennqf1xg6deoElmWRlJSk8359fHwAFD5cKB7w79ixwyjlEAqFaN26tWZ8fkxMjFHO+zoGtcxbWVmhVq1axi4LIYQQQgghhHCIWjeBoHYtKIt0nxf/dQy5l+/Btk8ozOo6QfY4DpkHL3LyAIBVaz+Y1an4uOXEiRPg8/lo164dHj16hKVLl8LX1xe9e/cGADRs2BAjR47Eli1bwOPx0KFDB81s9nXq1ME777wDIH8M+LZt29CtWzd4eHiAZVmEh4cjKysL7dq101zP29sbUVFROH36NJydnWFlZYWGDRvik08+waVLlzBq1CiMHTsWnp6ekMvliIuLw7lz5/Ddd99p9Qwoi88++wwTJ07EuHHjMHHiRJiZmWHbtm149OgRFi9eXGkt8cW1atUKI0eOxNy5c3H37l0EBwfD0tISKSkpuH79Ory9vTF69Gg0bNgQ9erVw6JFi8CyLOzs7HDmzBlcvHjR4GsvXboUiYmJCA0NRe3atZGVlYW//voLZmZmmoc4Fc2gYL5jx464du2asctCCCGEEEIIIRwMjwfnKUPw6qu1nHTZo5dIWfqyhKMAxlyIWu/3L3G/MS1btgzLli3D9u3bwTAMunTpgrlz53JagufNmwcPDw/8888/2LZtG6ytrdG+fXvMmDFD0029fv36sLW1xbp165CcnAwzMzN4enpqdQ//8ssv8d133+Gzzz5DXl4eWrdujc2bN8PFxQX//PMPVq5cifXr1yMpKQlWVlZwc3ND+/btYWtra9D9tW7dGps2bcKyZcswZ84cqNVq+Pr64o8//tCavK6yff/99wgICMDOnTuxfft2qNVquLi4oGXLlvD39weQP9Z+1apV+PHHH/HNN99AIBAgNDQUmzZt0ppkr6wCAgJw9+5d/PrrrxCLxbC1tUWzZs2wadMmNG7c2Ih3WDKGNWCWOrFYjLfeektT+SwtLSuibG8UlmU142qq6skWMS1UZ4i+qM4QfVGdIfqiOkN0kUqliI2NhaenJywsLDj7WJaFSqUCn89/bZ3J2HsOKcv+KdM1GTMz1Pn+XViF+Blc7rJYtmwZli9fjsuXL8PR0bFCr0Xy6VNnqqPS/h70ZVDL/LRp0yASibB161bs2bMHDRo0gLW1tVY+hmHw559/lquAhBBCCCGEEGI/uAMEzvZIWbYbypT0EvMJG7rBdcYoWDSpX2IeQmoCg5emKyCRSEoc4G+KT0oIIYQQQggh1ZN1mD+sQpsi90oMso5chvxZItR5MvCsLWHhWx92/drConlDikPIG8GgYP7BgwfGLgchhBBCCCGEvBbD58O6XXNYt2te1UXB1KlTMXXq1KouBnlDGRTME0IIIYQQUhXUajUiIyOxb98+/Pvvv5DL5XByckKnTp0waNAgGrdMCHljGCWYl0gkyMnJgbW1NUQikTFOSQghhBBCCEdCQgI+//xzrV6iycnJiImJwdq1a/Hxxx9j7Nix1M2aEFLjGRzMKxQKrF+/Hnv37sWLFy806R4eHhgyZAgmTpzIWYqBEEIIIYQQQyUmJuLdd99FSkpKiXkUCgV+//13SCQSfPTRR5VYOkIIqXwGBfNSqRQTJkxAdHQ0+Hw+GjRoACcnJ6SlpeHFixdYunQpIiIisGnTpnJPt08IIYQQQsh3331XaiBf1Lp16xASEoLAwMAKLhUhhFQdg4L5devW4ebNm+jXrx9mzpyJ2rVra/YlJSVh0aJFOHDgANatW4cpU6YYrbCEEEIIIeTN8/DhQ1y9epWTVqdOHbz11luoXbs2IiIicOTIEc7+7du3UzBPCKnRDArmDx8+jGbNmuHXX3/V2ufq6or//e9/ePr0KQ4fPkzBPCGEEEIIKZdDhw5xtu3t7bF161bY2toCALp06YJ69eph1apVmjwRERHIysrS5CGEkJqGZ8hB8fHxaNu2bal5QkNDER8fb1ChCCGEEEIIKfDs2TPOdr9+/bSC9LfeeouzrVar8fLly4ouGiGEVBmDgnlLS0uIxeJS84jFYlhaWhpUKEIIIYQQQgqo1WrOtq7fmEKhEDwe96dt8eMIqUpdunTB7Nmz9T4uLi4OPj4+WL9+vdHKUnDOPXv2GO2cpPIZFMwHBATg8OHDePTokc79jx8/xpEjR9CiRYvylI0QQgghhBDUqVOHs3306FEolUqttOLBe9F5nQghpKYxaMz8Rx99hEuXLmHYsGEYNmwYgoOD4eTkhNTUVERFRWHPnj1QKpX44IMPjF1eQgghhBDyhunRowf27t2r2Y6Li8OUKVPw7rvvonbt2jhz5gzWrFnDOaZly5Zwdnau7KISQkilMSiYb9myJRYtWoSvvvoKW7duxbZt2zT7WJaFjY0Nfv75Z7Rq1cpoBSWEEEIIIW+moKAgNGzYEE+fPtWkXbt2DdeuXSvxmFGjRlVG0QjByZMnsXTpUsTGxsLV1RXjxo1DVlYWli9fjn///bfUYxMSErB48WJcvHgR2dnZ8PDwwPDhw/HOO+/oHDbyxx9/YOfOnUhLS0Pjxo0xa9YshIaGavI8f/4cq1atwvXr15GUlARbW1s0bdoU06dPh4+Pj973FhkZiXHjxuHXX3/FgwcPsH//fuTm5iIkJATz58+HhYUFFi5ciPDwcAD5Qwm++uorWFlZac7Bsiy2bduGXbt2ITY2Fubm5ggNDcWsWbPg4eGhyXfx4kVs2bIF9+7dQ3p6OmrXro3Q0FBMmzYNjo6OmnzLli3DihUrcPDgQaxatQpnz56Fubk5OnbsiLlz58LGxkbv+zRVBgXzANCzZ0+EhYXh5MmTuH//PnJycmBtbY0mTZqga9eusLa2LlfBbt++jWXLliE6OhoKhQJeXl4YP348+vfvX+ZzZGVlYePGjTh58iTi4uIgFArh7u6OwYMHY/jw4TA3Ny9XGQkhhBBCSMVjGAbz5s3D+++/D5lM9tr83bp1Q+fOnSuhZMQYcnNzwefzwTCM1j4+nw8LCwtO3pLweDzOfAr65DXUuXPnMHXqVAQFBeG3336DUqnEhg0bkJqa+tpjxWIxRo0aBYVCgU8//RRubm6IiIjAwoUL8eLFC8ybN4+Tf+vWrahbty7mzp0LtVqNdevW4f3338fmzZs1yzAmJyfD3t4eM2bMgKOjIzIzM7F3716MGDECe/fuRcOGDQ26zyVLliAkJAQLFixAfHw8Fi5ciM8++wwCgQA+Pj5YvHgxYmJisGTJElhZWeGrr77SHPvNN99g7969GDt2LGbOnInMzEysWLECo0aNwv79++Hk5AQAePHiBQIDAzF8+HDY2NggPj4eGzduxOjRo3Hw4EGYmZlxyvTJJ5+gT58+GDZsGB4+fIhFixYBABYsWGDQPZoig4N5ALCyssLAgQMxcOBAY5UHQP4ToHfffRdmZmbo27cvbGxsEB4ejpkzZyI+Ph4fffTRa8+RlZWFIUOG4OXLl2jVqhVGjRoFuVyOc+fO4YcffsCJEyewceNGrSdehBBCCCGk+vHz88OyZcvw+eefIyMjo8R8ffr0wVdffaUzMCTVk729fYn7+vTpg8OHD2u2XVxcIJFIdObt2LEjIiIiNNsNGjQoMagOCgrC1atXDSpvUb///jtcXV2xfv16CIVCAED79u3RpUuX1x67ceNGJCUl4e+//4a/v7/mWJVKhR07dmD8+PHw9PTU5FepVNi4caOmQTIsLAxdu3bF77//jo0bNwIAgoODERwczDmmY8eO6NevH3bu3Ik5c+YYdJ/e3t6cIPnp06f4888/MXbsWHzxxRcAgHbt2iE6OhoHDx7UBPPR0dHYtWsXZs+ejQkTJmiODwoKQs+ePbFx40bMmjULAHdFCpZlERgYiNatW6Nz5844d+4cunbtyinTsGHD8N577wEA2rZti+fPn2P37t346aef3pi//3IF8xVBqVRqPoC3bt0KPz8/AMDkyZMxatQoLFu2DL169UKDBg1KPc/OnTvx8uVLvPPOO5xKK5fLMXr0aFy5cgXXr1/nVHZCCCGEEFJ9tWzZEnv27MH+/fuxb98+PH/+HABgbm6ODh06YPjw4WjZsmUVl5K8KSQSCe7evYsxY8ZoAnkgv8GzS5cur50p/sqVK/Dy8tIE8gWGDBmC7du348qVK5xgvkePHpyexdbW1ujcuTMOHToElUoFPp8PpVKJdevW4cCBA3jx4gUUCoUm/5MnTwy+1+I9XRo1agQA6NSpk1b6yZMnkZubCysrK5w5cwYMw2DAgAGcSSudnJzg6+uLqKgoTVpaWhqWLl2Ks2fPIjk5mTOh5ZMnT7SC+eJl8vHxgUwmQ1pamqa1v6YrUzC/b98+APldlqytrTXbZTFo0CC9CnTlyhW8ePECQ4YM0QTyQH5lnTRpEqZPn449e/bgs88+K/U8BeuKduzYkZMuFArRrl073LlzB2lpaXqVjRBCCCGEVC1bW1uMHTsWY8eOhVQqhVwuh7W1NfW2NGEZGRmldrMvKjk5ucTzFK8Dz549K3NeQ2RlZYFlWdSqVUtrn6604jIyMuDm5qaV7uLiotlflK4A1cnJCQqFAhKJRDNv2datW/H+++8jODgYdnZ2YBgGX331VZmGqJTEzs6Os13Q5b2kdJlMBisrK6SlpYFlWbRt21bneQvGzKvVakycOBHJycmYNGkSvL29YWlpCZZlMWLECJ1ld3Bw4GwXPFCRSqUG3KFpKlMwP3v2bDAMg4CAAFhbW2u2S8OyLBiG0TuYL3g6ExYWprWvXbt2nDylady4MQDg/PnznMqjUChw6dIlWFhYaMaWEEIIIYQQ02NhYcEZT01Mk5WVVYnBvK68+py3Itna2oJhGJ0NhGUZM29vb4+UlBSt9IIHFsWDVV3nTE1NhZmZGUQiEQDgwIEDGDRokFbDZ3p6OmxtbV9bJmNzcHDQ9Lgu2nuhQEHaw4cP8eDBA/z8888YPHiwZn9B7xuiW5mC+YJxBwXLe1TkpAIFT9Dq16+vtc/Ozg4ODg5lelOHDx+O/fv3Y8OGDbh79y6aNWsGhUKB8+fPIzMzE4sWLYKrq2uJx7Msa/A9GKLgepV9XWK6qM4QfVGdIfqiOkP0RXWG6FK0XpRWN0yt3lhaWqJZs2Y4efIkZs2apQlMc3NzcebMGQDceyq4/4K0Nm3aYM2aNbh79y6aNm2qybd3714wDIPWrVtz8oeHh2PWrFmarvY5OTk4ffo0goKCwOPxNPnMzMw4142IiEBSUhLq1aun9Tda1vekeL7XpRf8u1OnTlizZg2SkpLQu3fvUq+hq+w7duwotZxlKVN1U9ZyluXhVpmC+SFDhnC2iz4tMbacnBwAKHFJAWtrayQmJr72PBYWFti8eTO++eYbHDhwQNOaz+Px8Pbbb792PFVmZmaVVILMzMxKvyYxbVRniL6ozhB9UZ0h+qI6Q4qSy+VQq9VQqVRQqVQ685SUXt1NnjwZkyZNwrvvvouxY8dqJqkTiUTIzMzUui+WZTVpY8eOxf79+/Hhhx9iypQpqFu3Ls6dO4ft27dj5MiRqFevHlQqlWbsOI/Hw4QJEzB+/Hio1WqsX78eubm5mDRpkuacHTt2xN69e9GgQQN4e3sjJiYGGzduRO3atQEUvs4F5yx4X0pSUr6S0gvip4L3OiAgAMOHD8fcuXNx+/ZtBAUFwdLSEikpKbhx4wa8vb0xatQo1K9fHx4eHli0aBFUKhXs7OwQERGBy5cva71uxa/xujJVNwXvaVZWVqlDAor3zNDFoAnwrl69Cjc3N9StW7fEPImJiXj58mWVTTAnFosxadIkiMVirFmzBi1btoRMJsPp06fx888/IyIiArt379Ya51GgpPSKwrIsMjMzNeNaCHkdqjNEX1RniL5qcp2JjY3FnTt3IJVKYW9vj6CgIM46xsQwNbnOEMNJpVKIxWLw+XytMfAANJO3maJOnTrh999/x++//44ZM2bA2dkZb731FpKTk3HgwAGt+2IYRpPm7OyM7du3Y/Hixfjtt9+Qm5sLd3d3zJw5ExMmTNCM6y/4/5gxYyCTybBgwQLNOvOrVq3ixFtfffUVhEIh1q1bB4lEolkF4rfffgNQOAdB0XOX9tqXlK+k9IK/+6Lv9Q8//IAWLVpg165d2LlzJ9RqNVxcXBAYGIiAgABN3lWrVuHHH3/Ed999B4FAgNDQUGzcuBGdO3fmvG66rqHPPVU1Pp8PHo8HW1vbcg8TYlgDmp+bNGmCyZMnY8qUKSXmWbNmDZYsWYL79+/rde5PPvkEx48fx+7du9GsWTOt/W3atAHDMJqnNCX5/PPPsX//fuzfvx++vr6cfdu3b8e8efMwefJkfPLJJ3qVr6KwLIuMjAzY29vTlx8pE6ozRF9UZ4i+amKdiYyMxLp163Dz5k1OukAgQJcuXfDRRx+hXr16VVQ601cT6wwpP6lUitjYWHh6emoFLwUtrmUdM28KFAoFBg0aBFdXV2zYsKGqi1PjmHqdKe3vQV8GTeNYlvi/YAI8fRUsOadrXHxmZibS09N1jqcv7uzZs7C3t9cK5IH8BwIAcO/ePb3LRwghhBDTtG3bNkyePFkrkAfyl8YNDw/H2LFjER0dXfmFI4SYrLlz5+Lw4cOIiorCkSNHMHHiRDx58kSzBjohFaXC1vB49uxZiePeS1PQTeTChQta+y5evAgAaN269WvPI5fLkZOTA7lcrrVPLBYDgM4ZFQkhhBBS85w+fRqLFy9+bb7c3FxMmzYNCQkJlVAqQkhNkJubi4ULF2LixIn48ssvoVarsWbNmhKXYyPEWMo8Zn7OnDmc7VOnTiE+Pl4rn1qtRmJiIq5du4b27dvrXaDQ0FB4eHjg0KFDGDduHJo0aQIgf2K8lStXQiAQcCbgE4vFSE9Ph4ODA2esW8uWLXHhwgWsXLkS06ZN06TL5XKsXLkSABASEqJ3+QghhBBiWtRqNZYuXaqVbmdnh3r16uHff//lPPzPycnBhg0b8NVXX1VmMQkhJkrX5wshlaHMwfzevXs1/2YYBvfv3y9xPDzDMGjevLnWA4AyFUggwPz58/Hee+9h9OjR6NevH6ytrREeHo64uDhMmzYNnp6emvxbt27F8uXLMWXKFEydOlWTPnPmTNy8eRN//PEHLl68qJkA78KFC3j58iWaNm2K4cOH610+QgghhJiWyMhIrQaIiRMn4v3334eZmRkyMjLw1Vdf4cqVK5r9x44dw7Rp02BtbV3ZxSWEEELKpMzB/KlTpwDkj4Xv1q0bxo8fj3Hjxmnl4/P5sLW1hUgkMrhQbdq0wbZt2/D777/j6NGjUCgU8PLywqeffooBAwaU6RxNmjTBnj17sHr1aly5cgVbt24Fn89HvXr1MHXqVLz77ruaNRoJIYQQUnMVLE9boGHDhvj44481c/vY29vj22+/Rd++fTVLG0mlUty+fZu6yRJCCKm2yhzMu7m5af69YMECNGnShJNmbP7+/li3bt1r802dOpXTIl9UgwYNsGDBAmMXjRBCCCEmJCsri7PdsmVLrUl6nZ2d4e7ujhcvXpR4HCGkfAxYRIuQGseYfwcGrTNfdMw6IYQQQkh1ZmVlxdl+8OCBVp6srCytSe+KH0cIMYyZmRkAQCKRwNLSsopLQ0jVkkgkAAr/LsrDoGC+wIEDB7Bv3z7cv38f2dnZsLGxgZ+fHwYNGoT+/fuXu3CEEEIIIeXVokULbNu2TbN99+5d7NmzB4MHDwbDMJDL5fjll1+gVCo1eQQCAZo1a1YVxSWkxuHz+bC3t0dycjIAQCQSaXrHmPqa4aTymWqdYVkWEokEycnJsLe3B5/PL/c5GdaAdn65XI7JkyfjwoULYFkWFhYWcHR0hFgshlQqBcMwaN++PZYvX07Lv5URy7LIyMiAvb29SVVKUnWozhB9UZ0h+qopdUapVKJfv35ITU3lpDds2BCNGjXC9evXNcvWFujRowd++umnyixmjVBT6gwxPpZlkZiYiIyMDK19arUaPF6FrZhNaiBTrjP29vaoXbu2UT4jDWqZX758Oc6fP4927dph+vTpnCfXd+7cwZIlS3D+/HmsWLEC06dPL3chCSGEEEIMJRAI8MEHH2gF50+fPsXTp0+18guFQkycOLGyikfIG4FhGNSpUwcuLi5QKBSadJZlkZWVBVtbW3oARMrElOuMmZmZUVrkCxjUMt+5c2fY2Nhg3759Op+IqFQqDBo0CDk5OThz5oxRClrT0ZNsoi+qM0RfVGeIvmpSnWFZFr/99hu2bt1aaj6BQICffvoJXbp0qaSS1Sw1qc6QykF1huiL6kwhg/ompKWloWPHjiV2beDz+ejYsaNWlzVCCCGEkKrAMAymTZuGb775psTVeAICArBmzRoK5AkhhJgEg7rZ16tXT+d4l6IyMzNRr149Q05PCCGEEGJ0DMNgwIAB6NevH6KionD79m1IpVLY29sjNDQUjRs3ruoiEkIIIWVmUDA/btw4LFy4EO+88w4aNWqktf/x48c4fPgw5syZU+4CEkIIIYQYE4/HQ5s2bdCmTZuqLgohhBBiMIOCeU9PTwQHB2Po0KEYOHAgWrVqhVq1aiEtLQ3Xrl3DgQMHEBoaigYNGuDq1aucY4ODg41ScEIIIYQQQggh5E1l0AR4vr6+YBgGBYcWnXhAV1pR9+/fN6ScNR5N5ED0RXWG6IvqDNEX1RmiL6ozRF9UZ4i+qM4UMqhlfvLkyW/8C0cIIYQQQgghhFQVg4L5qVOnGrschBBCCCGEEEIIKSODlqYjhBBCCCGEEEJI1TGoZb5ATEwMDh06hKdPn0IqlWLTpk0AgPj4eNy6dQtt27aFvb29EYpJCCGEEEIIIYSQAgYH8//73/+wcePGEifBmzlzJr744guMHz++/KUkhBBCCCGEEEKIhkHd7Hfv3o0NGzagU6dOOHDgAD788EPOfnd3d/j7++P06dNGKSQhhBBCCCGEEEIKGRTMb9u2DY0aNcKyZcvg7e0NMzMzrTyenp54/vx5uQtICCGEEEIIIYQQLoOC+SdPnqBt27YQCErupe/k5IS0tDSDC0YIIYQQQgghhBDdDArm+Xw+FApFqXmSk5MhEokMKhQhhBBCCCGEEEJKZlAw7+3tjcjISKjVap378/LycOnSJTRr1qxchSOEEEIIIYQQQog2g4L5oUOHIjY2FvPmzYNcLufsy8nJwezZs5Gamorhw4cbpZCEEEIIIYQQQggpZNDSdMOGDcPly5exa9cuHDp0CLa2tpr0J0+eIC8vD4MHD0avXr2MWlhCCCGEEEIIIYSUY535RYsWISQkBFu2bMGjR4/Asizu3r2LRo0aYezYsRg1apQxy0kIIYQQQgghhJD/GBzMA8CIESMwYsQISKVSZGZmwtraGlZWVsYqGyGEEEIIIYQQQnQoVzBfwMLCAhYWFsY4FSGEEEJIpWFZFgzDVHUxCCGEEL0ZFMxfv34d4eHheO+99+Ds7Ky1PyUlBevWrUPv3r3RokWL8paREEIIIcRo1HkyyB7HQZWeDbVEBp7IHHwHG5h7uYNnaV7VxSOEEELKxKDZ7Ddt2oQzZ87oDOQBwNnZGREREdi0aVN5ykYIIYQQYlSKJDFyLtyGIj4VaokMAKCWyKCIT81PTxJXcQkJIYSQsjEomL9z5w5atWpVap6goCDcunXLoEIRQgghhBibOk+GvNtPAJVadwaVGnm3n0CdJ6vcghFCCCEGMCiYT0tLg4uLS6l5nJyckJaWZlChCCGEEEKMTfY4ruRAvoBKnZ+PEEIIqeYMCuZtbW3x6tWrUvMkJCRAJBIZVChCCCGEEGNTpWcbNR8hhBBSlQwK5lu0aIETJ06UGNAnJCTg5MmTCAwMLFfhCCGEEEKMgVWpNGPkX0ctkYFVqSq4RIQQQkj5GBTMT5gwAVKpFG+99Rb27duH5ORkAEBycjL27t2Lt956CzKZDBMnTjRqYQkhhBBCDMJWcH5CCCGkkhm0NF1QUBC++uor/PTTT5gzZw4AgGEYsGz+Nx+Px8OXX36J4OBg45WUEEIIIYQQQgghAAwM5gHg7bffRnBwMLZv3447d+4gOzsbNjY28Pf3x6hRo+Dt7W3MchJCCCGEEEIIIeQ/BgfzAODt7Y1vv/3WWGUhhBBCCCGEEEJIGRg0Zp4QQgghhBBCCCFVp1wt8wDw6tUrJCcnQy6X69xP4+YJIYQQQgghhBDjMjiYP336NP73v//h+fPnpea7f/++oZcghBBCCCGEEEKIDgZ1s4+MjMSUKVMgkUjw9ttvg2VZBAUFYcSIEfDy8gLLsujYsSMmT55s7PISQgghhBBCCCFvPINa5tesWQORSIQ9e/bAyckJW7ZsQUhICKZMmQKWZbFmzRr88ccf+PTTT41dXkIIIYQQQggh5I1nUMv83bt30a1bNzg5OWnSCtaYZxgGH374IZo0aYKlS5cap5SEEEIIIYQQQgjRMKhlPi8vD66urpptoVCInJwcTp4WLVpgz5495SsdIYSQKvPo0SMcP34cCQkJYBgG9evXR+/eveHh4VHVRSOEEEIIeeMZFMw7OTlBLBZrtl1dXfH48WNOnoyMDKhUKoMLdvv2bSxbtgzR0dFQKBTw8vLC+PHj0b9/f73Ok5OTgw0bNiA8PBwvX76EmZkZPDw80LVrV0yZMsXg8hFCSE314sUL/Pjjj7h+/brWvjVr1qBjx46YPXs2nJ2dq6B0hBBCCCEEMLCbva+vLx49eqTZDgkJQWRkJA4fPgyJRILz58/jyJEj8PHxMahQkZGRGD16NK5du4aePXvirbfeQnp6OmbOnIlVq1aV+TwJCQkYPHgwVq5cCRcXF4wZMwaDBw+Gi4sLjh8/blDZCCGkJnv48CHeeecdnYF8gbNnz2LChAlITEysxJIRQgghhJCiGLZgsLse/vnnH/zwww84cuQI3Nzc8PLlSwwdOhTZ2dmaPHw+Hxs3btR7nXmlUonevXsjMTERO3fuhJ+fH4D8FvZRo0YhNjYWhw8fRoMGDUo9j0qlwsiRI/Ho0SOsXr0abdq00bqOQGDwynxGx7IsMjIyYG9vD4Zhqro4xARQnSH6el2dkUqlGD58OF69elWm8/n5+WHTpk3g8Qx6LkxMQE36nGGVKmSfvFbm/DbdgsAI+BVYopqpJtUZUjmozhB9UZ0pZNAvsGHDhuHWrVtwc3MDAHh4eOCff/7BqFGj0K5dOwwfPhx///233oE8AFy5cgUvXrxAv379NIE8AFhbW2PSpElQKpVlGot//Phx3LlzBxMnTtQK5AFUq0CeEEKqg6NHj2oF8g4ODhgxYgQGDRoEkUjE2RcTE4PIyMjKLCIhhBBCCPmP0SLaevXq4dtvvy33eaKiogAAYWFhWvvatWvHyVOaI0eOAAB69eqFV69eISIiAtnZ2fDw8ECHDh1gZWVV7rISQkhNsnfvXs62r6+vZilSAJg0aRLGjh2LpKQkzjGhoaGVWk5CCCGEEGJgMN+kSRP06dMHixYtMnZ58OzZMwBA/fr1tfbZ2dnBwcEBz58/f+157t69CwC4fv06FixYALlcrtnn6OiI3377DSEhISUeb8Dog3IpuF5lX5eYLqozRF+l1Rm1Wo379+9z0t577z1YWlpq8js4OGDMmDGcz/579+5RHazBatLnDMuyet0Hy7JADbjvylaT6gypHFRniL7elDpTliEEBgXz1tbWqFOnjiGHvlbBEnc2NjYlXrssky6lpaUBAObPn4+JEydizJgxEAqFOHz4MBYuXIjJkyfjyJEjcHFx0Xl8ZmZmlVSQzMzMSr8mMW1UZ4i+dNUZqVQKpVLJSbOzs0NGRgYnzcHBgbNSSU5OjlYeUvPUhM8ZVqmCNDe3zPlVGRk0Zr4cakKdIZWL6gzRV02vMw4ODq/NY1Aw7+/vjwcPHhhyaKUpCMQ7deqEmTNnatILuoiuXbsW//zzDyZNmqTzeDs7u0opZwGWZZGZmQk7O7s3fiIHUjZUZ4yPZdka/VqWVmdYloWNjQ0kEokm7fbt22jRogUn361bt8DnFwY4Li4usLe3r8hikypUkz5nWKUK2XoMsbOxt6dg3gA1qc6QykF1huiL6kwhg4L5qVOnYsyYMdi7dy8GDx5s1AJZW1sDAGdm/KJycnJKbLUvfp709HR06dJFa1/nzp2xdu1aTVd8XaqqYjAM88ZXSqIfqjPlo86TQfY4Dqr0bKglMvBE5uA72MDcyx08S/OqLl6F0FVnGIZBWFgYwsPDNWnr169H3bp10bVrV6hUKhw8eBC7d+/mHBcWFkb17w1QIz5n9LyHGnHPVYheP6IvqjNEX1RnDAzmL1y4gJCQEMydOxebN2+Gv78/nJyctPIxDIPJkyfrde6CJeeeP3+OZs2acfZlZmYiPT0dgYGBrz2Pp6cn0tPTYWtrq7WvIE0mk+lVNkJIzaJIEiPv9hNApdakqSUyqCUyKBLFsPRvBDNXxyosYeUaNmwYJ5iXSCSYM2cOrKysoFKpIJVKOfkZhsHQoUMru5iEkBokNTUVR44cQWxsLJRKJVxdXdG9e3f4+PhUddEIMWk1vbchyWdQML98+XLNv2NiYhATE6MznyHBfHBwMFavXo0LFy6gb9++nH0XL14EALRu3fq152nTpg1u3LiBx48fo0ePHpx9jx8/BgDN0nqEkDePOk+mFchzqNTIu/0E/DCrGttCX1xgYCB69OjBCegBILeEccZjx46Fu7t7ZRSNEFLDZGdnY9GiRTh69ChnHg4A2LRpE/z9/TF37lx4eXlVUQkJMT1vYm/DN51Bwfxff/1l7HJohIaGwsPDA4cOHcK4cePQpEkTAPnd61euXAmBQMDp2i8Wi5Geng4HBwc4Oha2oA0ZMgTr1q3Dli1bMHToULi6umrOs3r1agBA7969K+w+CCHVm+xxXMmBfAGVGrLHcbBs3qhyClXFGIbBt99+C6lUinPnzpWad9CgQZgyZUollYwQUpNkZWXhgw8+0DSu6HL79m1MnDgRy5cvh7+/fyWWjhDTRL0N30wGBfNlaRk3lEAgwPz58/Hee+9h9OjR6NevH6ytrREeHo64uDhMmzYNnp6emvxbt27F8uXLMWXKFEydOlWT7uHhgc8//xzz58/HgAED0L17dwiFQkRERCA+Ph4jR46ktZEJeYOp0nXPy2FovprC3Nwcv/76Kw4fPozt27fj4cOHnP2BgYEYPXo0OnXqRN33CCEG+eabb0oN5AtIJBLMmDEDu3fv1jlssgB1JyZvOupt+OYyuJt9SEgIgoODS8xz/fp1XL582aCWmzZt2mDbtm34/fffcfToUSgUCnh5eeHTTz/FgAEDynyesWPHws3NDevXr8fhw4ehUqng5eWFjz76CCNGjNC7XISQmoFVqaCWlG3ODLVEBlalAsN/c2a15vF46N+/P/r164fnz58jISEBDMOgfv36qFu3blUXjxCjYNVqqLPzwCqUYCyE4FlZUEBYCf79919cuHCBkyYUCtG5c2fY2tri9OnTmuWFASA9PR179+7F+PHjOcdQd2JCClVlb8Pk5GTExcWBZVm4u7trekOTysGwBiym7uvriylTppQaqK9ZswZLlizB/fv3y1XANwXLssjIyIC9vX21/zFBT8CrB1OqM9UNq1Qh++S1Mue36RZUI5aoojpD9FWT6kzB370iKR2SqBhIoh+Blco1+/kONrBq3QSWLX3At7asln/3pvD9+7o68/PPP+Off/7RbNvY2GDz5s2a+TekUik++eQT3LhxQ5PHzc0N+/bt05xPV3diDT6PuhObmJr0OVNVcs5Fl6mRgicyh3WHFuW+HsuyOHfuHLZt24br169z9rVs2RJvvfVWhfbgozpTyKCW+bJQKBTg8XgVdXpSyegJOCGEEFPGKlXIPHABuZG6J+1VpWcj63gUsk/fgF3/drDpFlTJJdStpn3/Fl8WePjw4ZyJNC0sLPDxxx/j/fff16TFx8cjMzMT9vb2b2x3YlN4kEOqRmX3NlSr1Zg/fz4OHDigc/+NGzdw48YN9OvXD19//TX4b1DPxqpgcDBf2geKXC7H9evXUatWLUNPT6oRmlCDEEKIKWPVaiT+sKnEQJ6TV6FExp6zMPdyg8PIrpVQupLVxO/f4ktcFixJXFTRuZGKH/cmTV5a0x7kkAryXx/rrNxcHI+6gPO3byAtMwMCgQBebh7o06Y9Wnr7FcZuevfJ5vrtt99KDOSLOnToEEQiET7//PPyXZCUqszBfNeu3C+0P//8E3v27NHKp1arkZ6eDplMhuHDh5e/hKRKvalPwAkhhNQc4k1HkXvp7uszFpG6ej/MvdwhalU1652r82R4dPISDpw7hYt3byIjOwtCMyGa1PdE39COCG0aYJLfvw4ODnj27Jlm+9KlS+jTpw8nT8FSxAUYhoGdnR2AN2fy0pr4IIdUnIMXI7Bi73bkybkt9M8S43Hy+hX41vPEvAmTUKeWc7mu8/TpU2zbtk0r3czMDEB+z+yidu3ahSFDhtASkxWozP3gWZbV/McwDGe76H8CgQBeXl549913MXv27IosO6kE+jwBJ4QQQqobVbYE6X+f4aQxfD6s2wfAZdoI1PnuXdR6vz8smhZrDWYB8V/HKrGkhdRqNZZ89yPGfPc5dp45hriUJORI8yDOzsTFu9GYu3Yp3v9lHl4lJ1Xo968B0yq9Vrt27Tjbx44dw/bt2yGXy6FWqxEZGYmlS5dy8rRs2RKWlpYGdScuTUXcnzGUtSFFnVe218IQ1fW1Idq2bN2KX3du0grki3rwIhaTl/yIV2kp5bpW0fkugPxVyObMmYOzZ8/i3Llz+PLLLzWBfYG///67XNckpStzy/zp06c1//b19cX48eNpjeE3wJvyBJwQQkjNlBUeBVYm56Q5vtMb5g0LV2Ywb1AH5g3qIOvkNeScKZx4Le/OE8ieJnDyVjSWZbFgwQLs3vcP2FL6wz6Of4Gpv/2E1V/Nh6cRu5NXdNfuAQMGYPXq1YUteGoWv8z/CcsW/AILgRkyJNkAnw+euRDg5XcL1qxApG98qSO/KXRdr6qhBKbw2hCuBw8e4Pdly8qUNy0rAz9tWYtNI3sbfL2zZ89ytkePHo2hQ4dqtgcPHoz4+Hhs2rRJk3b+/HnMmTPH4GuS0hk0Q92pU6e0lgghNY+xn4ATQgghlS3nzE3OtkUzzxKDc5tOgeBZW3KPj7ipM29FOXfuHPbu3QtW/frINSUzHf/buNpo37+KJDFyLtyGIj5V8/2vlsigiE/NT08Sl/sajo6O+OCDDwDkz0+gypGAVSiRJ81Dek4WWDXLSQ8KCkLnzp3LfV2gcu7PGKqiIcVUXhvCtW3bNq1eFGHNW+KrsR/gowEj4GLPHYpx+8lDxMS8fu6QkojF3HrQoUMHrTzF01JTUw2+Hnk9gybAc3NzM3Y5SHVkhCfghBBCSFVSJqdzti2bNSwxLyPgw6JJA0iuFi6rq0hKLzF/Rdi6dSvn+5TP42Fw+64IbRqA+NRk7Dh1FAlFuspeibmNZ7HP4OlVvhbaypwj55133kF6Sio2r9tQaj6/OvWw8Pv5RlkdyVTmAKrsmckB03ltykssFuPQoUO4e/cupFIp7O3t0a5dO3Tu3BlCobCqi6e3vLw8nDx5kpM2snMvTBo8SrPdN7Qjxv04B+k5WZq0g4cPoal/c4OuaW5uzhkXn5CQgBYtWnDyJCQkcLYtLCwMuhYpG4NnsxeLxdi9ezfu3LmD7OxsqHQ8FWYYBn/++We5CkgIIYQQYii2WIDCFBvPWRwjLPbTSF15vc4SExM566sDwKfDxmBgWBcAQBCAToGt8fb3nyM7T6LJc+ToUUyeWr6hj5XZtZthGHzcewia8myx88xx3Hx0n7Pf3ckVgzt0xcCwLhAmZQIuTuW6HmBCs+BXQUOKybw2BpLL5Vi6dCl2794NpVLJ2XfkyBE4Ojpi+vTp6N3b8O7nVSEhIQFyOXcI0ahu3HuwtbJC39AO2HLikCbt6dNYg6/ZpEkTXL16VbO9adMmdOzYEVZWVgAAiUSCjRs3co7x9fU1+Hrk9QwK5h88eIDx48cjKyur1AkyaD1MQgghhFQlvoMNVOmFrVKyJ/Gw8K2nMy/LspA9juceb29ToeUr6sWLF5xtocAMvUPac9LsrKzRuWUIDlwsnNTvxUvucYao7K7dqvRshDZrgdBmLfAqLQXPXsVDpVbD2d4Bjd3ra1rjjXk9Y+arSWrya6NQKDB9+nRERkYCahZqmRxQqcCqWTA8BuDzIU5Nw9dffw2xWIy33367qotcZroaUq3MLbXTLLhpuo4rq0GDBnGC+adPn2LQoEHo1asXAOD48eNaXfEHDx5s8PXI6xkUzC9cuBCZmZn4+OOPMWzYMNSuXRv8cnbxIYQQQggxNqsgH8ifFgbokusPYN3eH3xbK628sgfPoSw2NlgUVHmtSsUbSPg8Hvg6upib8bk/38o783hld+0ufr06tZxLXDKrIq5XGmN1XTcVNf21+eOPPxAZGQlWodSa/Z9Vs4BaCZVCCZ6lOZYsWYImTZqgZcuWVVRa/bi6umqlHb96EQPaFc4xoVarceLaZU6e2rW1jyurLl26oF69eoUPHtUs0hISsXXtes4DkoIJLN3d3bWWNyfGZdAgpOjoaHTr1g2ffvop3NzcKJAnhFQIWhqHEFJetv3DONusTIG0dYcgexyn+YxhlSrkRsUgfRd3CTuzOk4QBVdeMF+3Lndivjy5DKdvRHLSJFKpVlrdOuWcbb+yu3bX9OuZkhr82uTk5OQvi6ZmNYE8j+GhW6s2eLfvEDTzbKzJq86TAWoWf/31V1UVV292dnZo3bo1J23Fnu3YdfoYktPTEPPsCb5a9zuevuIuX9mje3eDr2lmZoZFixbB3t6eM1FlwYSdRSewtLUUYfHixSY5H4EpMahl3szMDB4eHsYuCyGE0NI4hBCjEro5wbp9AHLO3dKkKdMykbbxCPi2VuA7WEORmK61fB0A2A/rBKaEyddYljX6cEIPDw/4+fkh5l7hbNO/7tiERHGaZgK8zccPcCazAoDe/3VxJYQUCg8PR15eXn7XegAMGCybNkcTxI/rOQBrD/2DLeH548nVMjkuXryI5ORkuLi46DxnRfzdl8fIkSMRFRml2ZYq5FixbwdW7NuhM38dRyeEtQvTua+sPD09sf6PVfj201m49fiBzjwBjXwwa8y7aFCHJk2vaAYF823atMHdu3eNXRZCyBtOkSTWmlFXLZHlL4+TKIalfyOYuTqWcgZCSHVRnX70Ok8fAdmjOKiycjnpqqxcrbQCVmH+sBvI/dFbGQ8b33rrLXz91deabalCjnWHd2Pd4d068wc08oG3t7dRrk1ITXL//n8TK/43Rjy0aQCnNR4AxnTvh12nj0OuVOSPpWdZPHz4kBPMV+dGhg4dOqB79244tmf/a/MKeHx8Pvpdo6wO4SJl8Psns/E47gXCr15CfGoSAKCukwt6BLdFY/f6AGCykyaaEoOC+VmzZmHEiBFYv3493n33XWOXiRDyBqqqpXEex73AwUsRuBv7GFKZDLZWVghu0hz923aEsz09OCBEH9X1R6/A3gZui6bg+bs/a42J18UywAuuc8ZwWuUr62Fjz549cfrUKZw8cPi1eW1EVpg56p1yX7OATC7H6RuROHUjEq/SUsDn8eHhUhu9Q8IQ2jSgRgyrfPjyGQ5cjMD9508hlclgZ22N1k2ao3/bTqhlZ1/VxdMQZ2fiyOXzuHw3Ghk52RCamaFJ/Ybo17YjmtRvaPQHZdL/hnScuh6JRHEq+Dw+6rnW0bz3xggAK5tMlt+1vqALuKtjLa08luYWsLe2QXKGWJOv6Azx1b2RgWEYzPvmW6hfpCD82qUS84nMLfDtOx+jpXcTo1y3YDJEL/d68HLXPaFo0Xyk4hgUzK9cuRJeXl749ddfsWPHDvj6+sLa2lorH8Mw+Omnn8pdSEJIzVfZS+PkSvOwYMs6nL99nbsjFYh5/hSbjx/EW117471+Q8t9LUJMWVnnrqjuP3oFzvZwnjQYkqv3kRt5H8oU7fXjzb3cYNWmGcx964EnLFzCrjIfNvJ4PMz//gfwX2Xg+NWLJear7VALP33wKeq51inX9QpcuhuNhdvWIyOH++P7eVICLty5AXdnV3z7zsfw9mhglOtVtqzcXPy0eQ0ux9zipMelJuHesyf46/gBjOnRH+/0GlhFJczHsiy2njiEjUf2QaHiLqP29FUcDl85h1befvhq/IdwtLEzyjUv3rmJhdvWIzM3h5P+PCkB529fh7uzK76bMLnUoK28KmKOHCcnJ84Y/yv3bkE1ZDTnodTDl8+QnFHkAR8L1KqVH/RXVSODvoRCIb4c9wF6t2mPvedP4vLdW5q642zngL6hHTEwrDMcbY1TX2r6pImmxqBgfu/evZp/v3z5Ei9fvtSZj4J5QkhZVebSOBKJBJ8t/x8evCh5rVU1q8bWk4chzs7E/O7BqB6dhQmpHAUt7EpxNqQpachxrgWBY8kt7Kbyo5cR8GEV2gyiNk2hiEuBMjkdrEIJxkIIoYcrBLVsdR5X2Q8bhUIh5o59HwPDOmPf+dO4fC8a2XkS8BgefDwaoH+7TujaKgQWQuO8lqfPnMaXa3+Hmi35HuNSkvDp7z9jyZQvEIwgo1y3suTk5GD68oV4HF/yEn4qtRp/HtuPjJxsfFOFn/nLli/HpoP/lJrn+sMYfLJ0AZZP+xKvWzjxdcNdTp46ia/WLXvtez916U9Y+slstDLie6/v54y+OnbsiL/+LJzQ7pU4FT/8tRqTB4+Ck50D7jx9hP9t38A5plYtR/j5+QGo/L/78mrp3QQtvZtAoVQiKzcHZgIz2IhExh/uVIMnTTRFBgXzp06dMnY5CCFvsMp+yrt85YpSA/mijkZeQLtjR9G3f3+Dr0eIKSnawl7QWqaWSKHIK7mF3dR+9DIMA6GHC4Qeuie5Kq6q1uFu6umFpp5eAAC5QgEBn2/07s6pqamY9913pQZzBSQyKeZtXIH94wfDTGA6LW1Llv5WaiBf1P4LpxF25jS69ehRwaXSdvnyZWzesqVMeV8mJ2LpP1vw66DOWvvKOtwlOTkZ333/vR7v/UrsHTvIKO+9IZ8z+vL394e3d2Pcvx6tSTtzMwpnbkbBUmiOPLn2745BAwfBzCy/V05V/d2Xl5lAUK2GjJCKZVAw7+ZGMxMSQoyoEp/yZmVl4cCBA5w0K3NLDO7YFQ3reODGw3s4cuUC58fN1m3b0Kdfv2ozmVd50HJ/uhk6WVt1muTNGAxtYTfVH71lUV26lArNzF6fyQB79uxBXp6Uk+bfyBu9Q8Iglcux/8IZPEuM1+x7JU5FxNkIdO/Zs0LKY2xisRhHjhzhpNlYijC4Qzc0qO2Gaw/u4mjkBbBFvli2btteJcH8Fh2BfPegULRpGoD4lCTsPnuC0xU+4uZVJCYmoo574e9yfYa77NmzB1Ipt24HNPJBr5B2yJPJsP/CGTxPStDsi09Nxrnz59C1HEubAZXXk4dhGMyaMRMfjBkPpVrF2acrkHd3dsWYt98GUH3+7gl5HYOCeUII0Ud1CnhOnjwJWZElqHgMD8unf4mGdd0BAF1bhcC/kQ9+2rJWk+fhw0d49OiRyc4YXdFdGU2VoZO1VddJ3ozBkBb2Gv+jtwZ3KWVZFgcPHuSkdQhohe8nTtF8ZvcL7YiPFn2PJwmFQyoPHDxkMsH8sWPHoFQWBnICHh9/zPgGHi61AeR/5jdp0BCLdv6pyXPnzh08f/4c9evXr7RyJiUlITIykpM2adBIjOzSW7Pdq3UYxv44GzKFAkD+cLDDR47gvQ/ez9/WI0hmLIRaD7Y7BgThu4mTNe99/7ad8MGv8xD7qvBhzoGDh8odzFdmT54WLVrg+3en4LtNKzWvmy71XOrgl0kzCucAq8F/96RmKVdfrYMHD2LixIkIDQ1Fs2bN0KZNG0ycOFHri4EQ8uZR58mQd+cJcs5FI/t4FHLORSPvzhOo88r2o7+ixMZyu9eHNGmuCeQLdA8KhYM1d+zs06dPK7xsFUGRJEbOhdtQxKdCLclvfVNLpFDEp+anl2Fmb6DmtehzX5f8OqmWyF77uhh6nKkwqIWdfvSaLJlMhlevXnHSRnTuxXn4KjQzw5AO3Th5YmNL/zysTp8Xz54942y3ax6oCeQL9GnTHtYWlpy0yv7ML15OocAMg8K6ctJcHWuhc2BrTtrTIu+FPkFyXl4ekpOTObtGdin/e18Wld2Tp13zQGyYPR8D2nWGyNyCs6+OoxM+7D8ca2Z9i9qOTka5HiGVyaCWebVajWnTpuHEiRNgWRYWFhZwcXGBWCzGpUuXcPnyZYSHh2Pp0qUmuZQFIaR8qvOs1ioVt6udlaWlVh4ejweRhQXSc7JKPM4UlLcrY01tgTb0dTGVSd4MVeNb2IkWXZ9rVhban4nFPyd1HVddewApldwZ4a0tRVp5+Dw+LM0tkCPN06RV9md+8esJBQKYCfJ/prNqFmDyu40XL3/R4/QJktVKZ610Kx2vjZVFydczRFV9zrg7u2LGyPGYPHgUnr1KgFQhg52VDeq71qFYhZg0g2rv5s2bER4ejqCgIOzcuRPR0dE4ffo0oqOjsWvXLgQHB+PkyZPYvHmzsctLCKnmyhrwVFULvaurK2f7yr1byMrN5aTdi32M+FRui0Xt2tyWHFOgTytNcTW5BdrQ16U8r6dJoBb2N45IJNJaWvjEVe21qoun1Xblfh4aqwdQRSj+2X3+9g1IpNw5Am4+eoCUTO5ShcW/Kypa0esxLOCWzSLmty149cMmvPp6LRK/3YDE33Yh+/wtWKoLW88L3gt9g2QrS0uIRNxA/YSOdcrDiy2P6Opazu/CKv6csRCaw7e+J1p4+cKzjhsF8sTkGVSD9+7dC09PT2zcuBEBAQGcff7+/tiwYQM8PT2xZ88eoxSSEGI6qnvA07Urt9tijjQPM1f+gqv370KcnYkTVy/hmw3LOXmcnZ20PutMgaFdGav7A5nyMvR1qcmTvJE3E8Mw6F5s/POO08ew7tBuJKQm42lCHP63bQMu3o3m5OnWrbDrdXX/vChaVgDIkuRg5spfcP3fexBnZeLolfP4ftMfnDx169ZB06ZNK7OYaNiwIRo2bAh3OR9Ts13wVq4jxLcfIj01DUqVCrmSXDy79wChYgFmZNVGR6k1wAI9Ct4/PYNeHsPTem22nzyCDUf24lVaCp4kvMTCretxJeY2J0+Pco6XN7bqNKSDkKpgUDf72NhYvP322xAIdB8uEAjQqVMnbN26tVyFIzVLdZoEjVSc6h7wuLu7o127djh3LFyT9u/LZ5j5x68lHjNk8JASP++qq/J0ZTS1Zcb0YejrQl3QCZA/zPDmo/uIfvwvcvPyYC0SoaV3EwQ08jHZ77fhw4dj7569mm01q8bm8IPYHK57/iORuQX69e2r2a7unxcNGzZEUFAQIs+c1aTde/YEn634pcRjhg4ZWukttgzDYHxQZ8jO7wFfnf96qtRqJKWnISk9jZNXAAadpbZobOOMJk2aGHzNkSNH4sD+wknwVGo1/jy2H38e268zv8jcAn379DH4esZSU4eAEWIIg36dmpmZIS8vr9Q8eXl5mnUayZuLPnDfLKYS8MyaMQO3zl/iLPFTEm/3+pqlakxKOboyVvcHMuVi6OtCXdDfeKdvRGL94T2IS0nipP95bD/qu9bFB/2HIcy/ZRWVznDe3t4YP24cNqz44/WZAUwbPha2toUThJrC58UXs2Zh/JWryM6TvDZv0waNMGrkyEooFZf8ZRJ8Ip7gmUiE3OzXfzfxGAZhvFpI33EKtcYatrKAj48Pxo4Zg01/rC5T/unDx2kNy6hs1XlOHkKqgkGPHZs0aYKjR48iKSlJ5/7k5GQcPXoUfn5+5SocMW01ecwtKYGJBDxubm5YMvULuNiX/oXfrIEXfpk0ExYWFqXmq0kMeSBDSE23JfwQvtv0h1YgX+B5UgK+XPc7/okI17m/uOrWNXjSxx9jdNfSW1wFPD5mjByPnq3badJM5fOiQYMGWDzlc9SytS81XwsvX/z84WcQCoWVU7AixH8dAyuVw8PdQzMJYQpPgYOWGfjDJhlbrNJwxyy/IY3P48HduTbMhUKkbw2HKvv1DylKMmXyZLzVtXepeQQ8Pj5/ayJ6tG5r8HWMoboP6ahqSnEWso5FImXlXiT9uh3JS3Yh7c+jkNx8BFZJ39U1lUEt8xMnTsTHH3+MoUOHYuLEiQgODoaTkxNSU1MRFRWFjRs3IjMzExMmTDB2eYmJqOmzPhPT16iuB/6c+xOOXDmPg5ci8Cwxfx1dBgz8G3ljYFgXdA4MrraT41TYsBUTeSBDSGWJOBuBtYf+KVPeZXu2wbdvZ7RtH6a1rzr3VOPxePhw4Ah0bBGMvedPIuLmVUgVcgCAjcgKvVq3w6D2XeHuXGxSOBP6vPD2aIC/vvwJR6+cx/6LZ/AyORFA/tjxFl4+GBjWBR0CWlXJZ74yPRs5EdH55eHx4O7sijQXEY4KXuHmw/tQs2ok8ZXIq2OHhg0DEHAvHfz/ysnKFMgOvwq7gdp1rix4PB4+GjgSnVq0xp5zJxERHaVZj91WZI2erdticPtucHN2Mcq9lkd1H9JRVZTiLIi3hkN6/zlQ7EGhMjUDsocvkXXkMmy6toIohBpaaxqDgvnOnTtjzpw5+OWXX/DLL9wxRyzLQiAQ4IsvvkDnzp2NUkhSMSpyDDt94BJTILKwwLBO3TGsU3fk5EmQJ5PCRmQFC2H1fMBUnYMBU8WyLFIyxMiTy2ArsoaDje3rDyLVUkV8p7EsizVr12ql13Opgyb1G+Les8darfVr16/XCuZNpWuwb31PzKn/Pma9NSF/lQ8GsLeyqbYPNfVlbSnC8M49MbxzT2RLciGVy6rFZ35OxE1OrwVGwIffe8PwPysLyORyZEtyITQTwtbKCgAg3nYC0nuxmvxZJ6IMDuYL+Nb3xNyx7+Pz0dX3vTeFIR2VTZGQirjPlkH2qPRJhdUSKTIPXoQyJQM23YJgmjN8EF0MntFp/Pjx6NKlCw4cOIAHDx4gJycH1tbWaNKkCfr37w8PDw9jlpMYSWUFA/SBS0yNtaVI5/rD1YWpBAOmIiMnGwcunsHBixFIzigc8uPtXh+D2ndFj+C2mjWeSfVV0d9pd+/exaNHjzlp7/YdgrE9+oNhGLAsi3WHdmPLiUOa/Xfu3MGjR4/QuHFjTRlNraeagC+Ao61dVRejQtmIrGAjsqrqYgAAFPGpnG1zbw/wrfKHd5kLhTAv1u1fFNiYE8wXP748qut7bypz8pTG2A8c1blSxM9eBWVS+usz/yf3yr1yzbNAqp9y/VLx8PDA5MmTjVUWUsEqKxgw9geuKc2Cb0plrclq2vtgisFAdXYv9jHmrl2KjBzth4kP457jf9s3YN/5U/j5w+mwqYLymSqVSoULd24i/OpFvExOAsuyqOvkjG6t2qBji2AIjTwpbmV8p0VHR3O2azvUwpju/TSfLwzDYEKfQTh8+RzSc7I0+W7duqUJ5qmnGnkd9r9u7QV4Vpal5i++n5UrNf/OyZMg/OolnLt1HSkZYpgJBPByq4c+bTogsLGv6X43mtCQjqIq8oFj+u4IKOKSOWmMuRlELX0g9KwDtUQG6e3HkD1N4OQR/3UMdv3aQuBA33A1ATU7vCEqNRgwwgeuKXUnNqWy1mSGvg9quQLSe8+gTBaDlSvBWAgh9HCFubc7mGrSvZCCAeN5+vQpZq1chFxZ6SuyPIx7jhkrf8Hm3m1hZUs/eF4n5tkTfL/pD7wSc1sIXyS/wpWY2/hj/y58OfZ9tPIxztrdlfWdVnzlnkZuHlrdjgV8ARrWdcf1hzGaNImkcEIy6qlW/bBqFmqJFKxCCZ6FsMq/q3m23B4C8hdJpT6Ulr/gDu3g2eT3Kjty5RyW7d4GiUzK2R/7Kh4nrl2Gbz1PzJswCXVqORux9KQkFfnAkVWpkHXoEidN4OqIWhP7gm9d+LDHKtgXebefIH3nqcKMShWyjlyG49s9DLo2qV4MCuY3btyIVatW4cCBA3B1ddXan5SUhIEDB2LSpEkYN25cuQtJys+UggFT6k5sSmWtTCqVCpfv3cKxqIt4mZwIlmVR27EWurUKRafA6tFCp8qWICfiZv4srzK51jn5dtYQhfjBum0zo5bVEBQMGM8vi14fyBeIfRWPLVu34sOPP6rgUpm227dvY9qynzWTZumSlpWBWX8swoIPpqFbt6ByX7OyvtOKLsEGAHdjH0OuUHA+wyRSKR48j9V5XE3oGlyTKFMzkRsVg7ybj6CWFAa8AmcHiFr7QhToXSWBvWXzRijaUVqZJIbsURwsvLWHrLJKFXIv3+MeH9AIO3ftwsJtG0q9zoMXsZi85EesmP4l9TqqYBX9wFFy7V8oUzM4afZDOnAC+QKW/o0gffAcebcKhwxlHYukYL6GMKjZ6dixY/Dx8dEZyAOAq6srmjRpgiNHjpSrcMR4TCUYMKVlR0yprMZSluWU/n0Ri3E/zsWX637H+dvX8SwxHs+TEhB5/w5+3LIGI76dgaj7d4xWJkPeB9mTeKSs2IPcK/d0BvIAoMrMQXZ4FFLXHYIq4/Vr/lYUU1n6yRQ8ffoU165d46QFNPLBqhnf4MSitfjp/U9R26EWZ/+evXugVCpBdJPJZJjz5dxSA/kCKrUaP/y5CpmZmeW+bmV9p4WEhHC2M3Nz8Mv2jciV5j8QysrNxcJt6zkPiBiGQevWrfM3TLRrcGXLbymXQZWTB/Z1D2kMOb9KhcxDl5C8ZCdyL97hBPIAoExJR9bhy0j6ZRsn4KksoiAfCGpzP3sy/j4D6YPnnO9dZUYOxJuPQ5XBrddZLeph8ZLFZbpWWlYGfty8ptTvc1bNVrvlE02NPg8cDSGPfcXZFrg6Quhe8ooDoiBfzrYiPgVq+es/t0n1Z1DL/LNnz9C/f/9S83h5eeHgwYMGFYoYlym1DJhSDwJTKmt56NN9PSYmBp/+/jPy5CXXt/ScLHyxagnmvzcVvaqghU4en4r4z/+Auozr8irikpEwdzXcl35aNV0xKRgwmtOnT3O2bUXW+PnD6RBZ5E801a55IGrZ2uPDRd9p8qSliXHr1i20DGhRmUU1GeHh4UhOTuGkNazjjv7tOkHA5+PolfOIef5Usy87T4IDBw9i3DvjDb5mZX6neXp6omXLlrh69rwmLfzaJZy9dRX1XeviWWIC5EruD+LQ0FDUrVvXoOtVB6yahTJJDHVuHgAGfDsr8J3sKmSstTw+BZLIGOTdfQpW9t/ryDAwb1gXohA/WDSpX+7hTqxajcT5fyH38t3X55UpkL7rNMy9PWA/uEO5rqsPhseD/dCOSF2xR5Omlkgh3nwcAic7mHm4QJ0lyR/7XCzIFjaqiz9vnIdazU0P9QtA55atIc7KxJ5zJzkTfd55+ggxMTFoFuAPIP9BvSIuBbmR9yB7GJf/3jP5771FU09YtfaDwKn6TYpXnVX0A0e1lNsQIXAsva+FoJb2Si2sVAEIjdtTklQ+g4L5vLw8WFqWPjmHubk5Z8wYqUImFAyYSg8CfcpQHcpqKH26r8vlcsyeO6fUQF5zDlaN+X+tRuvxQ1HLpXxj9/R9H5IX74A6K5e7k2Fg7lkHfAcbKBJSoXiVxtktexQH8bYTcHq3X7nKSqpWcjJ3oqB2zVtoAvkCvvU94ebkgvjU5BKPI4WKP7T3reeJFdO/hICf//OiX2hHfLFqMaIeFAZShw4fKlcwX9nfaVMnT8bE85egVBf2epEpFHgY91wrr1Bghskff1y+CxbDsizUWblQS2RgBHzw7a3BmBl/yiNVTh4k1x5AcvW+Vm8kgasjrEL8YBnYGDwj/PhX5Ugg3nwc0gfaryFYFrIn8ZA9iYfAyQ4Oo7qV61riP48i98JtvY5JWb4bwoZ1IQrwKte19WE/sD0kV+5Bcu1fTroyNRPKVN29WRhzIRymDcexD8Zy0od17I6pQ9/WbPcN7YhxP87hTNJ44NBBNAvwhyI5HWnrDkH+jNvSC5aFKiMHuRfvIPfiHVgGeMFuYPty3mXVYxVKKNOzwSpU4FkKwbe3AcMz8pKWlfDAkWfN/e5SvBKDVbMl3osiQXvFA56I5nWqCQz6Nqhbty5u3rxZap7o6GjUrl3boEKRN5Mp9SAwpbIaSt/xXqdPn8arV4mcLA1qu2FgWGcIBWY4euU87j4r7L4okUmxb/9+vPv+ewaXUd/3QfroJfJuPuSkC+u7wn5oZ85Ta9mzRGT8fZrzgzbzwAU4jukJnjk9xa4MFbEigaDYUnMZ2doPgpQqJbIk3Ic9xY8jhZ4+fcrZHt6phyaQBwAej4cRnXtxgvnY2GdQq9XVav3q0jRr1gzfvPMxfvhzFRSqkodcmJuZ4bsJk+Ht7W2U66py8iC5/m9+cF3koSUj4MOiWUNYhfjBzMPFKH8nuVcfIHnJTrBS3cOOlEliZB64gJxzt+BYziWtVNkSxM9YoTuQL37d1Eykrj0AUbAvLJs11P9aORKk7+T2yAGfB6uQphC18gHf3hqKuBTkXLoD2b8vCvOoWaRvPl6pwTwj4KPOd+/i1bcbkH36+mvz80QWcBzbE6nmLORy7vs2ultfzratlRX6tu2ALeGFSyg+fRoLeXwq4qYt1Q7kdci79RjK1EzYdAoE3656LOmnD3lcMnKvxEB65wlYZeGDOb6tFURBvhAF+RrvvirhgaNFkwacbVVGNmT/voBFk/rap2dZrXkWzL09wAhM63cp0c2gb9LOnTvj+vXr+Oeff3Tu//vvv3H9+nV07ty5XIUjbxgT6kFgUmU1kL7jvQ4cOMDZ1ditHtZ9/h2GdOiGfm07Ytm0uWjbtAUnz6HDh1Auer6uWYcuc7Z5Igs4juut1f3MvEFtOIzmTgyjzpYg51x0yUWh8YXlps6TIe/OE+Sci0b28SjknItG3h3jzTvh5cX9YR55/w4eFWtdPXjpLLKLBfPFjyOFVMXmaLC2FGnlKb6WN8ua3njcji2C8MeMrxHWvCV4DPenE5/HQ8eAIKya8S1Cm7UwyvWyT11D8qIdyA6P0up9xCpVyIt+hNTV+5G+42S5x73mXrmHV1+vLTGQL0qVkY3UtQcgi3198KcLy7JI/PEvyIstlVXqMTIFXn29DsoM/Xu5ZYdfBVvs9ak1vjfs+obCrLYjeBZCmHu5oda4XrBuH8DJJ7nxr9as8RWNJ7JAnfnvwa5/Owic7HXmYczNIGrdBM5ThkBYz1XrbxAArHT0nrUt9ncIuRIJc1ZBVUKrvy6K+BQk/rzFpP5+1f8NnUj9Yx/ybj7kBPIAoMrKRfbp60hevAO5UTElnKX6sfBrAGF9bqNpxr5zWnWWVaqQfTwKsifxnHS7vm0rvIykchjU3PD+++/j8OHD+Prrr3HgwAG0a9cOrq6uSEpKwoULF3Dt2jW4uLjgww8/NHZ5CSGVRN/u67Gx3Nmch3bsDjNBsRa6Lr1w6V60Ju3lyzgoFAoImMppocu7y21FFAX7gmch1JlX6OYE84Z1Oeuz5t1+AtvuwZptWpbQeCpjZYju3btj8aJFyM3OD9bVrBqTl8xH39COaFjHHdf+vYeI6KucY5o3bw5PT0+tH4Akn6urK7KzCj8rwq9eQpum3KAo/Cp3+aRatRzBN7GeSgDQ2L0+fnz/E6RkiHHn8UPkZedCZGeNAC9fONoabzxx5sGLSF68UysI1UV6NxbibAlsugaBb0ArmzIlA4k/bNL54JZnaQ5WrS4cy/4fVirHq2/Xo/6muZrx7EqVEhfvRCP86kXEJSdBoVTCw7U2uge3RceAIM13gfTeM0iKBUw8S3NYtWsOy2YNwQjNIHsch5zzt6FMKZzfXZWRg8x95+E4Rr9eATkR3F6kFs0awryRm868Nt2CILn+L2dyvOzTN1Drnd56XbO8GD4fVm2aQhTiB3nsK8ifJ+YPsRAKIKhlBwu/BpzvLRcX7UnPjkddxMCwLppttVqNE1e5D7Nb5plDIeYOIeJZW8IqtBnMG7sDKjWk92KRGxkDVlHYI0Vy5R7ybj+p1F4LhlLLFXj11doyTWrIKlXI3H8B5o3c4fh290ooXfkwDAP7IR2RvGSnJk2dk4fU1fshbFAH5g3z15nPuxsLdQ532DPPRgSbrq0qu8ikghgUzDs6OuKvv/7CrFmzEBUVhaioKDAMo3lS5+/vj19++QWOjm/eklzE9FVE997qeM3SGDKMQKuFTqSjhU5Hq51KpYJAUDnBvKrYWHlhPd0rchQwq+fKCeaLjrWnZQmNp7LWDLexscHgQYOxZe16TZpMocCecydLPGbM26MNvt6boHv37nj8qPCH8qkbkbC1ssbgDl0h4Alw+PJZ7D1/SusYU6TOk+UvZXntAXyT/ptMjGGgqh2P3CAfWLZoXOLDwbLKuxeL5KV/63WM/HkSUpbvRu0v3n595mIy9p/X6vli7u0Bm65BELo7g1Xnj1/PDo/ijLlVvkpDztlo2HRuiXuxj/HDn6vwSvzffjY/eIxPTcaVmNtYZeeAOWPeRysfP2Qeusi5Fs/SHE6TBkPgWNg7StTKB5YBXkjbeITT/Tvz4CW9x88rktI525bNS+6qzwj4sGhSH5LrhWPWlcnpJeavaMx/EwGaNyx9MkVbW1uEhIQg8kqkJm3l3h2QKxToFBiMtMxMbDlxCI/iiwwjYIHgXAsU7d4mcHGA0/sDOOOohfVcIQryRerq/Zx6knngQonBfHX6PZO2+gDyoh/p3skwWpMJAkDauoOw8PGAZYvGFVy6sivpNbXt0wbZZ24g7yb3HuXPXpU6dML5k2HgiSxK3E9Mi8EDARs0aIC///4bd+7cwe3bt5GdnQ0bGxv4+/ujefPmxiwjIRWuKlpYq3WrrgHDCFxdXSFOK5wtN/zqJbT35z75Ld5CZ2trA3Nz89d35zcSntAMRR85qF4zo33xGe+Z/yZ+qqzg801RmStDTJ40CdEnz+FubLEfeCyAYr+VhnXsjs6d3rzhYizLQvEyGdJ/X0CVLYFCoYDayR6WzRpqPaAaPHgw1q9bh7wiaXvPn9IK4AvwGB6GDx1WgaWvGLlRMcg6GqndWs6yULxKRebBVGSFR8Gub1vYlGOVjvTtJwE192/BoqknrMP8YebuAnVuHiQ3HiLn7E1Oi3l2eBRqvdNbrweIarkCWYe5rbUWTerDYXQPzSRaDI+BRWN3mDeojZQ/9kGZVPgZn7nvPJ468jF9+cJSlyZMyUzH538sws/vfYr65+5z9ll3aMEJ5AswAj7s+rVFyvLdmjRVepamhVUtV0J6+zEk0Y+gSssCq1aDZ2kOoWcdWLX2g1md/5Z5K/a5wpiX/rCl+H5T6ZEzcuRITjAvVcixfO92LN+7XWf+5tbOsMtTA0UmS7Pr21bnhGgCZ3tYdwpE1tErmrTcc7egzpNpvt+q4+8ZZXo2Mg9c4KQxQjNYd2wBUSsf8Kwt8x9KXbit1XIv3hIOtyoO5svymjJ8Pup8/x4S5qxC7qXXr9YAhoHdgDDYdAo0enkLGnSry4OcN0m5Z/Vp3rw5Be/EpFVFC2tNbNXt3r077scU/lA7d+s6Fu38E0M7doe5mRkOXT6LvyPCtY5hGKbSphQwc3OC4lVh61Je9CNYBTfRmVctV0Aa86zY8fkz778pyxJWlspcGcLc3By/TpqBpVs3ITXyNgLlIjirzGAGBlJGjTi+HLcs5Qgd0BOje/R7o36YsCwLya3HyD1/i7Oig1qthpLHQ87pGxA2qA3rTi1h0dgdQH5PvenTpuOnr78t0zXG9xqAevXqVUj5K4r4r2PI3H/htflYmQIZe85C2KCOQd10lenZWl3QrcL8Yde7jWabbyOCTccWsPCph9SVe8EW9IhSs8g8dEmvFTekMc+gyuTOWm/TvbXO2bAZMwFsurZC+rYTmjTJvVh8/0V4qYG85t7UKiz+cy0WOQRzhgNYltJV26xOLQic7aFMydCkyV+lIe/6v8g+fV1rjL86Jw/KlAxIou5D2LAu7Ad3AN/eCqqswnuUP4nX1N3i2P9m0S+Kb2/92nvTV0W0XLdv3x7du3fDsT37X5uXx/DwflgvMHcLJ6zl2YggbFRyDwDLQG9OMM+qVFCmZEBYz7Xa/p7JOhZZ+PcBAAyDWu/2g9C9cAUds7pOcBjRBQInO2SfKpx0MO/2Y8ifcSf0rUz6vKZ8a0vUXfgxEr/dgNzImP+WlNQmrF8bNt2CXtvTQ79ypkMSFZP/WfJf4wffRgSLJvUhCmkKM1cHo12LlIym6CVvtKpoYa2prboDBgzAmtWrNeORAeDAxTM4cPGMzvwMGIwYNlznPlVOXv5M8mo1eFYW4DvYGmXpGJtuwZBce6DZlj9LRO7V+1oBPatmkXXoklb304IWN1NclpBlWUjlMiiUJc/GXRUqe2UIlmWhvvkE4+PMIbNvisycHOTJpFCzLEQ8Hjwsa6GXlQ2Et3Mg9yr7JF2mjlWrkbL0b2Ts4s78rWZZqFlWM1uu/FkixJuOwKZHa83fw7ChQ5F14wFW7tsJNVvyQ65xPQdgfK+BFXULFSL79A2INx/X65i0dQch9KwN67b6NXRI78VyeogwFsISx7Wa1XaEKMgHuZGFwX/O2Wi9gnlVWhZnm+9oW+qPbwsf7kOYrKwsyJTcbuiN6nqgX2gHKBQKnLoZhX9fPtPsy5NIkMHLRK1ahYEd85phCTyLwu9Als3/XC6+Ioku8qcJSF29H9adWnImBMu9eh9WYf7gW2tPECd78ILT8wDI7/JvDBXdcs0wDOZ98y3UL1IQfu1Sifksheb4atyHaKy0RnaRYJ5vbVnqAwZdLfasXFGtf8/knI3mbIsCG3MC+aKsO7TID4RzCgPhnHPRMKvrVJFF1MmQ15QnNINN11aw7tgCefdiIX8SD7VE+t9SljawDPAq7K1iBKpsCcRbjkN6X3tFClVWLnIjY5AbGQML3/qwH9rRaNclulEwT95oVdHCWlNbde3t7THjsxn4fs6XZcr/do++aNiwcPwiq1ZDev85JJEx2q0jDjawau0Hy1Y+4FsZPs7LKqw5+PY2nCA7c995SO8/h6iVDwSOtlDEpyD3yj2tteZFwU3yx5Ca2LKEj+NeYO/5Uzh76xqyc3OhVqtRr3Yd9G3TAX1CO8De2qbKygag0leGSFt3EJkH88ftCgVmcLbXHbyoMrKRtukoLPwawKZzy/Jd1ASk/rFP0+VarlQgIzsbWZJcqFQqsGAhFJjB1soa9tY2EPD5yA6PQkaQDxyGdgIADO/cE8FujXBr7zGoHsZDpGDBgIFEwAKetdFsUHc0bt60Cu8QWsMoXodl1Uhbr73ihkWT+hC19stvNU5KR27kPcgevuTkSVt7EFahzfS6XvFWcovG7qWu6W7h58kJ5it8fHexYC8jIwMo0nDtV78hlk2bCz6Pj9zcXAzr3BOz/liE6w/zy5jHqJGZkcEJ5uVP47WW2Cqglsg4PalU4mzkZZcw/lnX8Tl5kFx/AFal1kzUx0rlSFt/CHYDwiBsUDu/Z9h/qwNkHuEOOTCr6wRRsG+Zr1eSymq5FgqFmDv2ffQKaYe950/j8t1oKNX5LdO1bO3Rp017DAzrDGd7R60gTJGcDrVEWuI4asXLZK00no2oWv+eKT5Lv4WfZ4l5GQEfFj71uPMlpGZWSTBfnteUEfAhCvCq0MkJlenZiJv2u85Avjjpg+dIXX0AVu0DYOZsX2FletNV22D+9u3bWLZsGaKjo6FQKODl5YXx48ejf//+Bp1PoVBg2LBhePDgATw9PXHs2DEjl5iYoqpoYTXFVt2yGjRwIDKv38fyPdugUpf8ZfR2t754r+9QzbYyNROpq/ZDEZ+iM78qPRtZxyORHXETDsM7GzwmlSc0Q633+iH5F+44Qtm/L7hrDBcn4KPWxP/W7TWRZQnVajVW7t2BnWe0P+vikpOw+uDf2HbyML4e/xFC/PyroISVL/PgRWTs0t1TRCe1GkkLtsDMzdmoXROrm7x7scjYHQEWgDgrEymZ+UFhBk+Jx+Yy8NSAj8oSiqwMiLMzUdvRCbYiK6Su2g/r9gHgWZojY3cEhDcfIZgVArU9ofyveyufzwcjBbDjIsR3EmA/qEOV3SfD54MnMi/TwzieyBx5Nx5xgkkAsO0bymlxFzjYwMK3HrIjbiL7ROFKCPLnici7/QSWTUsOILSoi31YCEr/icYIi+0vfnwRurp284styakSZ0GRnA4zF90PuIqvCy+TyZBjW/g5P6xTTwj4As3YWR6Ph5FdemmCeSmPRSwrQcMixcw5dwvmPvV19rzKuXRHM2adVamgEmdB2KAOZ7Z5c28PWPp7gWdlAfnzREii7nP2s7lS8G1EUOcWpimT05G27iD4jrbg21tD+SpN5/KX9kM7aR4CGKqyW64ZhkErn6Zo5dMUcoUCmbnZEPAFsLe24bz/Zh4ugIAPFHRDV6mRe/mezp4gLMtqLcsqqF0LAheH0r83i6iK3zNs8V5Cr1ntgTHj/j2xpfyGqUjV+Tciq1bj1dfroNBjyUZlagYSv10P92XTqrRhoyarlsF8ZGQk3n33XZiZmaFv376wsbFBeHg4Zs6cifj4eHz00Ud6n3PlypV48aJsHzrkzVAVLaym1qpriCEduiHIpyn2nj+FE1cvITsvfxyVhZkQnQKDMaRDN/jUK/yBq0zLRNz030sM5ItiZXKIt4bDsoWXwa2ldn1CoXiZgtQ1rx9bCADg8VB79hitLqbV3ZKlv+kM5IvKzpNg7pql+GXSTHQsx6RdpkAtVyBtw2GtdAvf+hAF+YBvbwNFQipyL9/l9MpgFUqkbTiMuvPfr8ziVqqMPWcBAGlpaUjJTIcKLA5ZZiJaKAGL/AdDZkwm2smt0UVqi1dpKWAA2NtaIWP3WeTdegzJDW7XZ4GOzy3pvVikJmfAqr1/lbXS8B1syvQZzHewQeYB7szrZrVrldjabt2hBfJuPIQyrbA1MPvkNb2CeV6xrt/yJ/Fg1eoSA0rZI25vAL4Dt5fN67p2W/g1AN/OmtMjIPvEVTi81V0ruGYVSuScvsFJSzBXIZdfGJnb6FjBxLrYCibXRFJ0QWEnCfmLJKRvPwHbPqEQ/Fd+tUyB3Et3OMvKqTJzwbOyBFMkIHMY1ZXTMmnh7QHr9gFI23SE05LMqtXgO9trrWaiEmdBJeYONShg1a457AaG6dynj6psuRaamcHZXneLP9/aEtbt/TmvcfaZG2AshLAK8dO8zmqpHNknrmq1wtoPCAPU6mr9e4Zvb8OZxFb26GXJ8yWoWcgexXGPd6j8XmvV/Tdi7oXbkMZwlyFmzIWwauMHC9/6AADpvy+Qe+UeZ04L6f3nyDl3643o5VYVql0wr1Qq8dVXX4FhGGzduhV+fn4AgMmTJ2PUqFFYtmwZevXqhQYNGpT5nPfu3cOaNWswe/ZszJ8/v4JKXrOxahbKJHHhBBe2VhC4OBhlHHOVqYoWVhNp1S2veq518OmwMZg6ZDQycrKhVqthb2MDAb/Yk2+WxavvNkKZKNZ5HobP505gk38QkhZsgXljd5jVNmwMWK13+0KRmIas45FaaygXxbe3hv3gjrDu2MKg61SV6Oho7Nix8/UZkT8x1c9b16HdB2/BzIB1qk1FztlorW7M9kM6csbEmtWpBctAb2TuO8fpbim5el9r2EVNoczIRu65W5DL5UhJyQ+Azlpk46b5fz+C//sMUjHAOYscOKoEaKEQIVGcBmsnR6Su3KvVwlvq9VLSq7SVxtzLHYpEcekBFp8H88YeWu+5ZUCjEscVMzwGFv6NkHOmMOBV6llnzL09IIkqnERUlZULybV/YdVae5JOVU4eci/f46RZhfhp/l3Wrt22fUKRvr1wUjtpzDOINx/jLE0nfxqPrPCrUCRy7ye2gQ2QWdi1/8TVy2jdhDtPwIlr3K7ryfXtILC25QTR0phnkN5/DjN3Z/CEZpC/TNZaNUCdJYGgdmFgaunfSGfwy7MQwn5IR6QUWd6PlcrhMKEv0tYdgjI1Q+uY4iybN4Tr3LHlbpUHqncrq/2gDpxgHiyLrCOXkXMuGuaedcEqlZA9SdB6LxhLc9j0al3tf89YtW6CjJeFLciSaw9g3c4ffDsrrbx5tx5zHsQBgFWwL5TJGRVdTK5q/ppmFJsIlG9rhVofDoSgyESRwnqusGrdBKmr9nMeoGUeuEjBfAWpdsH8lStX8OLFCwwZMkQTyAOAtbU1Jk2ahOnTp2PPnj347LPPynQ+uVyO2bNnIyAgAGPGjKFgXk+qXCkkV+9DcvV+/oRkRQhq2UHUukn+Eh8mNFEbqTw8Hg+OtnYl7pfeeQLp3aecNL69NWy6BeX/UOPzoHiZjOwzNzhjUlmFEhl/n4HzVMOXuLIK8YNli8bIu/UIkusPoUxOB6tQgmchhJm7M0TBTWDRpL5RftCVpiJmNt6xYwdnm8/j4a2ufdA5sDUSU5Ox71IErj4oXMYmKT0NZ8+dRbcePYxajuqkaBdoABA2rKtzciuGx8C2b1vk3YstbFlgWWSfuqZ5eKRSqXAl5jZuPrqP3Lw8WItEaOHli9CmAeBVcH0xNtmDF2BVKojF6QALqMAiSpj/A2xw+67oHRKGjKwsHI26gDPRV3HJIgctFCKoWTWyU8SwzJaBZ1vY+soI+BC18oF5kwZgeAykD19CEnWfExBI7z9Hzpmb5VrCzVA8S3NY+jcquesznwdL/0bgWQjBFpsskrEsfb6O4uONWYV+k00K3Zxh7lMPsoeFvQgzD12EWiKFVYgfeJbmmuA6U8cEnXYD2gHQr2u3/aD2yNx3jtMaKHv4ErKHL/+7nlrnA09BnVpoGOYHrF+nSQu/dgk2IisMat8FMqkMp04dwb7z3AkVO3XvhtrdByJ+5gruCf9bDlEXlmXBsxWBZynUBC+lTUxn5uIAoYcr5EUCOXVOHpwmD4YkMga5Ufd1tsgLG9SBVdtmsPBrUOpcBWVV3VtZLfwawOHtHkjfwl1lRp2Th7w7T0o8zmX6CAjsbar9sn22/doiY3eEZpuVKZC69gDs+raFuU89MDwGaqkckqgYZJ+8zjlW2KAOLJo3Qs6p6yD5lCkZWpNP2vQI5gTyBfh21rDp0RoZ/xQOa8u79QiKJLHJrdRkCsodzOfm5uLZs2fIy8tDUFD5v5ijoqIAAGFh2t2b2rVrx8lTFsuXL8fz58+xf//+N2qJIWOQ3HyIlCU7dY4lA/K7R2cdvYKc87fgOKZnJZeO1ATFu7HyrEVw+ngwZ6ZhYT1XOI7rhYx/IpAXXTj5UdaJa6g1sewzN+vCMzeDVWs/WLXOf3BYEYG1LhU5s7FMJkNERAQnbWKfIRjTox9YlkVte0eENg/Eh79+h0fxhUHDsePHa3QwL4/jDuMQlbKGMM/cDJZ+DThdxxXxqTCrXQvHIi9g/eE9SM7g9ibZdeY4XB1q4b2+Q9GjdVvjFr4CqXPyABbIyspvlRLzlJDyWAxu3xXTho8Fy7LIzc1FsF9zSFZLEXn/DlRgwQcDVUY2wBdq1kXnWZqj1gcDOGOuzRu5wSq0GdJWc1tpMg5cqJJgHgDMXB3BD7N67d8g35bbgid/9gpWpUyIJo/lrn7As9VuAXwdhxFdkDh/U2GCSo3sE1eRc+YGBM4OUGVLoM6RaB1nGdgY5l75XYj17dpd++t3kPDlGq0sJX33MxZC1Jk3EYMcLLDhr00oGtLtPncCu8+egFqtzn+wVeTjlMfwMHTIEIgaeqLO9+8hfsayUntGFbDp1BKSYkEE3770LtB8e2ugaDAvk8NMaAbr9gGwaucP+fNEKFMyCh/g1nM1/tCPat7KCgC1JvYFK1PonOhRC48H+0Htjda6yipVkN6LRd6dJ1Bm5ECpUEBqZwOLxu75jUQlTMZXVkI3Z1i3D0DOuVuaNFV6NsRbjoMnsgDfziq/Duh4KOEwqivFDMXIE7jzh4DPK3VoiGXzhsjcd47z+ioSUimYrwAGB/NxcXH48ccfce7cOajVajAMg5iY/ElOrl+/jq+//hrffvstQkJC9Drvs2fPAAD169fX2mdnZwcHBwc8f/76GRSB/En01q1bh+nTp8PTU49JaADNBC6VpeB6FXFdlmX1Oi/LspBce4CEOatL/DIvSp2Th7T1hyBq0xSWzTwNuh7+O8aQ4wxVnutVh3usbnVG3/tjVWrkXLoLsIW/Yazb+4NnZaHzHDbdg5F363H+dQAgT4bcq/eNXk5d6cZ47wsoksSQ3nnK+YJT5UqhypVCkSiGRfOGnC87fa+XnJwMpVKJoi9snzZhnPMwDINeIWF4tHub5riEhARNHlP5O9TrOnIFp64x1palXpdnnd/azAJg2Pwx9xsO78Gfxw6UeEySOA0/bl6DV2kpmNy1Vblel0ojFEDNslD9Vx9t1HwwaqBPm/Za703vkDDcvnsXfJYBwwICtRrgQzPLuXXXVhA422u9rnw7K9j0CtEse8cCkN55CnlcCszc9J8t2hh1hrEQwqJZQ83+oj/cC85tGeAFydUHmjqTd+dJ/j3qGEurTMnQjCsuqDOWLbz0LqtVWHPYDWyPjH3nufegVGlNxleAb2cNl1mjNddRirPLdM2CfKIQP9T54T3Ez1qptXa7rms5jO0BoWcdOAn4+GTqJ/jfvB9KPqBIMSb0HQQPD4/8awb5wGnKUORevIO8mw+1g3qGgblPPViHNYdZ/drIu/sUUCg1p5PHJZc4vINlWcgTUjSXZ1iAZ1Xk750BhA1qQ9igttZxnH+X8++3sn8nGHIcA6DW+/2hlsmRe+EO5M9eaWdkGFg0qQ+rDi3yh16Us5xqtRo5F+8g52w0Z010tVoNeWoW5E/i8+ebaOkNm54h5bqe82cjIXsSrzVfgloi5UyUWJRNz9aw7hYEVqU2md+IlfE9ysoUmr9nFv8tG8nnlXxdPg+MpTnYbAnne9RYv1kr8jdwdVKWh0oGBfMJCQkYOXIkMjIy0LVrV6SkpCA6OlqzPyAgAOnp6Th8+LDewXxOTn5Xbpv/s3eWcXJUWRv/V1W7jc9kJO7u7glJIFhwd1gWFnZZhWXlZd2XRRZZfPHFEkjQAHF3d52MW0+7Vb0feqa7a7p7NJlMYJ4P+WWq7q26VX3vrXvOPed5rIm9rhaLhZKSkoTnYuH3+/n5z3/OwIEDuf3221vUBgC73X5WOojdbm+6UAuhBEN4Xa6mC9YhcPwUlb96Dtnnj2PzFIx6kBUUX4MPvs/PyV88S+YzP0TQalp0v1BNDYJGanE76+u1Fm25X2vrnoln7Ah9pjXPJzs9BD3esCGgKCiyjNwjG1ey+hoQuqQROlURDn8VBGpPFLVo9+t0/A5tqSt7/fjW7Wl018y5dgf6CYMQ6/SXW3o/h9MZlhOre6cANfZadGJ0une73ThcTuSY8R0MhqipqTmnxmFLEDJowwzrde/FefAEofzkOwSuI4XIshzpa/sLj/PSsoXNutfzi9+j24xxTJsxvcXtbG8EU40R+TkAvSLQ36+nprZWNRbdbje1TicjfEYUFDSEDXoAWRTC4dj98pOOX6VHNrIkhg2yundate8IenPLlyHt1WfkSQMJvfARSiAUHkuyTPkLH2G6aCJSQVZY1kxRCB4vxbN4LXIdv4cSDCIYdMjj+lFTU9OyttrtaG6chd7vw/XGl02WFzNSMFw7E6dGQaipQQnJeMubmavvchGorEKQRJS+uZi/cyH+rYfwbTmI4lDv/otZKehH90c3pCd+vZaaunc6b+5cKjfs4oUl7yM3WDPVzy+CANfPns9lk2ZG6inBED6diGbmcCyTBhE4UoRc6wZZRjAZ0PbsgmgzEwACbjdiry749xyPjF/7yu2EenVJyNsTOFhIoLwGINLXAl0z8FU0/1vZ1nktfO/2XSfE1pNdXoKF5Shub1jFIdWMVJCtel+x9UJdMzFcNxNteQ2BQ0Uobi8I4egSbb+uiDZT+LdwudrUTkSB2ic+wL14dcIykW+SX8a5bjeeY8WEhnVHSrO2+r2Yf3UTvgeeJJSEmycWutH90N46N2wDnENrxPaYEwMEIyolKAqK00NtYUlSosBQjZNgHU9N/Th0KSECNTUtum9TOBNr4I6EtLTE6iKxaJUx/8QTT2C323n11VcZNWoUTz75pMqY12g0jBkzhi1btiS/yBnGv/71L44fP857772H1IocpJSU5Hm+ZwKKomC320lJSTntoT1KMITD3HyDJ7BqN6I3gKDRINflf+r7FGA5bzS6gmwURSFwvCRMiBMjTyE4PEgbDmC7cBIOszlc7mQZ3t1Hw15RRUE0G9H374a+T0Hko2JNTY1MRi1pZ3291qIt92tt3dP5jB2pz7Tm+UKygFujQSDs5ZVFEZPFgtRIfa9OhyKKiHX1TEZTo+VPRztj60Hb+o1n52E0BmMTNUBb7oiEr7X0fhm9e2M2m/F6PITqxu/HG1fxvcuuQ1EU3G43Gq2WzzetU+V39+3Th9TU1NM+DptKXWivce8fPYDaU5WRvhbacQTj7LERp4mqbGEZSmEFYl1fA/js6K64fPh+XXswqEcvdh89xMFCtVrKW2+/zcWXXtLxQzVTU/EM6Y322DGCgQAgcIEvla9XrmDMwDBzu9vtxmAwsG7lKmb6UxAQEBEQRBHJZkLSalEMCpb01EZv5baZCVU7IuPXrNVjSW28TiK027ciNZXg+ROo/WR95FtIjQv3a0vRZKdFdObrSdXq+4eo0ZB60WTSC3Jb3dbUB66l0mLBtXYX3j3H4nbRNNlpEc4aQatp/dyWkhKpJ2VnwrxMlDnjCZZWhVMwRAHJZkbKVH9nYu930/mXMHX4aN5fsZQvNq3D4/MiyzJGg4FZo8ZxxbQ59CnoFlcv0k4z0ETfMV8+g7L9r0XGr1JSRejLrVgvmICoj+a3+44W4/xko+q30HXNJmvS8BblP7d1fQHtv05QgiEqq9241+4KRzI0cBpLKZZwnxk3ENGoT/JbmKFH/hlrZ9Urn+BfviMht0gkNSMGSlkNnn++R/6/7geF1r0XixXtvZfj2XYI1/rd8cSUdZEHpomD0ffMw5qRftbWCR1hbZkM8nAzjlQLssMTHYebD2K+dGrC8vavtqnGoWQ2kDligGq81qM1KY5ncg18rqFVxvzKlSuZM2cOo0Ylz5vJzc1l3bp1Lb62xRImUnA4EjN7Op3OpLv29di9ezcvv/wy9957L/37JydJaQxnq2MIgnD6792CayqyTO2StSAQ2XXR9+tK+k3nR4xvQRDQ98wj886LqXzuowjJjADYF63CduEkvHuO4fx6S0IGaPf6PUjpNixThmEaOzD6zC189ja/q7bcr7V1z8Aznu0+o2pDTD1/YbnakWMxYhjQHV3PXARBQDIZECQxvBNT19d8BwuT5qSGXF4CdXnPQt0/mgxbo9rKzWlni+qF/2h1XbnG2ay6qnItvJ9Op2PevHksWrgIBMgJafB8vJ5Vy4+TrbfgDwU55q6mZ8hNjU7ELYYXfBddeOFp66Mt4gRop3GfevFkaj9aHd1NdnmpfvUzUq+YEe5H1IXnHi2m5p0oaY8AeCT4uuqEKv/33gXXcM2sCyJ/v/7FYv7z0buRvw8ePMi+fftURK5nG8kWTKkLppC6chMVFRUgQIoiMWLNKd4s/Cs9J47C7XRSvGEX55V7ERFAABkFSZKQUi0IhMMnQxV2NEnyjkNOT4REtX78SjZT6+audvxWZH33Mrw7j+Ddo971CpZVEyyrTlhH3zOXzDsvbtt4EgT0PXPR98wl5HCHGd49PgSNhJSRgjY/U3XdNs9tMfUESUCX13j6Q8N6PfMK+PG1t/LAVTdR7QhHdeTl5KDVaBut11yYpwyjMiOFUAzjuHvTPjy7jmAY2APJbMB3vCSORE8AUi+bhiiKp7XPNMv4aO1vIbawXt3arPrNpVQ+szBpuZDdieOLjbjX7yH95vNPa59pDoLFlVS/9SUNa+h65GIY0hNfKIhwqhLvrqMRHg4IS1o6vtiEbc7YVrdT1Gowjx2AaUz/sAOuni/BqEebn4UUS+J5NtcJHWht2RCSXodt3nhq3lsW+Y66N+5DspqxTBuOoA2blEogiHPVDtzr90TvB9jmjUeKcZ6fLu6gM7IGPsfQKmPebreTn9+45w7Coe4tRb3k3PHjxxkyRK3narfbqa6uZuTIkY1eY//+/YRCIZ544gmeeOKJuPNHjx6lf//+WK1WNm3a1OI2fpMRKKokVGFXLVqt541JGMomSCLW80ZT+dLHkWO+Y8WU/+sdqt9a2uh9QlW12D9chf9YMdZZo9rsAe9Ex4F373EcX29JqBvvWr0TTVYqlqnDMY7qh2l0f9wbo1JMzhXbwkzSCTy3zmVbVTJ1gkaDaVR/3Jv2nZkHOc1oT2bja6+9luXvf8RFzgx6BsMfxaDfQZHiQEHBgsAcwcYsr5V1eheHelgZN25c3HWClbX4Dpwg5AznNUopZgwDuscRg8WiuZJY7Q19nwKMw/uqSBT9x0soe/RtdD1z0aRZCZyqiJPfAjjVN41QDO9qbnomV81Qk35eN3s+H6z4kvIYqa4dO3acdWO+OQsm6+wxZI4dTOVnK1DqfjYdAnknavEdX4aIQgHhBWMEooQuKzWcN1kH5+odpC6YlrAdrrW7VLvLglaLvm/X0//ApxmSzUT+X+/l+B1/JljadJiuNj+LvD9/F9HcNvIuVRusJoyDepy2650pKIoCTi/WWj8adwCMHpQ0zWlZaIs6LTk/u56inz+jvqfXH8ewHQvj8D6kXDy5zfeHM0tcGgtBkhBN+mZ9L0STHkGSqHzlU6pe/rjJ8hCWPKx8YTGWacPR9256LX+6YF+8RmWkIwikXXcexsFhriVcLsyThxOcWUPVSx83kDVbhW3O2MjfiqIQLKshVFWLEgohmgxo87MSrh1iIQgC2i7paLt0krC1BimXTqXmgxWq77vjq8241u5C1zsfQQDfoVPxfFuiQMqCKLF5R10nnKtolTGfmZnJiRMnGi1z8OBBcnNzW3ztsWPH8uyzz7Jq1SouvPBC1bnVq8M5NokWnbHo0aMHV16ZWLLq3XffxWq1Mm/ePIzGpsNdv22QG+bJWYzo8rOSltf1yo+E+ECYKTRWCqQpeHYcpvyJd8n56fWtam9HgCIryA4XsjeAoNci2cwJnR/fdCiKQtV/P6Xqtc8aLRcsr6Hm/eX4j5eQdtM8lTEfqqql8rmPsJ0/Hl3vPARBIFjtwLl8m6ocgGXGyDBj8bmCdmQ27m5M4RHjECqDjZOFSghM9du4PmMEQkyEg+9IEc4V2/AdLIyrY/9wNYbBPbBMGxE3N7REEutsyFlm//haTn7vn2oyJEXBf6SIZK5nff9uFA2zQowx3y0nF8Xtw1daheIPIui1aLLT6N4lT2XMezyeBFdsPzR3wSRoJHr94/tUnSqmdFvTzjEBgexh/ci8eAb2hSsifdW9cR9SqhXLlGHRcFNZxr1hL87l21TXsM4erVKtiEV7qUo0F5qsVDK/uwDX2l24N+wNs/g3gJRuwzx+EOYJg9GkJyZm+6ZCCQTx7DiMa/2eiBNXlmXcoogmJx3zhEEYh/dt0tBqCuZxA8l56EaKf/GcyrGbDLoeuXR55HbVGqW1aG/jQ0qzNsuYl9KsuLcfouqVBIa8JKLNSUf2+OJ07GWPj5LfvUy3F39+uprcKBRZofYztRKVefwgjIPjyam12WnYLppE9RtfRI759p/Ad/gUSjCEe8sB3Bv2xEV+CjotxuF9ME8cgjan6TzjTrQcuoIssu65jPIn31Mdlz2+OJnhWGTcdQm6rjmRsh15nXAuolXG/KRJk1i0aBEHDhygX79+cec3bdrE2rVrueWWW1p87YkTJ9K1a1cWL17MzTffzMCBA4FweP1TTz2FRqPhsssui5SvqqqiurqatLQ00tPDE+moUaOSpgC8++67ZGZm8oc//KHFbetEEtSzWwaCBCvs6AqyVaelNCuGgT0QJBHfwcK4na/aj9dhnT0G47DkEhcdEcFqB+4Ne3Fv3q9iZBVNBkyj+2MaN/BbtaireXcZVa82bsjHwr15P/qBPdD1zMN/JCrpFCiuoPKlJYgmA4JBl1APGFEg9aqZqkNVtXY+Xb+K/SePEQgGSLPamDRk5Dmp/d0WyC4vRQ8+Q47egpSWTnl1dYTcrCG0Gg35GdnoT1ZR8fRCsh64iqrXPmtcpkhR8O46inf3sbBMUYy8WEslsdobuoIs8v96Dye+87eE8l5x5bvmkPeHu0j5um5RqUCvoI5+W0spLnyV2F4lo9C/vIwKSccxbdg1kNqKfPDThZYumDTpNsa8/WdWX/MQtdsPICuJ64mSRPbUUfS7+RKMw/tg/3CVepfmi4241u5C37crgijgO1gYxyQNkLJAnWfZXruerYWo02CdPgLL1OH4Dp8iWFyB7Asg6nVo8zLR9cpr1InrDwRYvm0jm/bvptblwqjXM6RXX+aMmYjV1HIJu44C35Eiyh57J85YrEewtAr7olU4v95K2g1z2nw/68xR+L9zCY4vN4WdjQmIikWrCfOEwVimDEvqMGoJzobxoe9TQKCkqvH5VBLR9+1Kye9eVh8XBCzTR2CZPDQi7+YvLMO+eI0qDcF/vBT3xn2YRrcuHbUlkB1u5FqXKurTNC551JJhYA9EizHM21AH15YDVL/yKcHyxOktij+Ae+Ne3Jv2YZs3Dsvs0XEh/Z1oO1KvmI7s8VH26NvNKm+dM5bUK6JksB19nXAuolXG/D333MNnn33G9ddfz5133hmRilu+fDlbt27l5ZdfJi0tjTvuuKPlDdJo+P3vf8+dd97J9ddfz0UXXYTFYuHzzz+nsLCQBx54QCUz9/rrr/Pkk09y3333cf/997fmcToRAzEmbwjCjOP+wnJ0BYl3532HCiMe8lCNExTCXvBAEADbhRMxTxgSWeQo88bh3XOMmv99pfKU1yxcmdCYl2WZYCiETttyj/6Z2t1RFIWq1z6j/Mn3Ey4kZLcX58rtOFftwDJjJNZZo097GzoaAiWVVDy7KO64ZDNjGNgdJBHfgcIIUVQ9aj9cRc4vbqL8ifciC34FcHs8+GrtKIBGkrAYTUgxBnnW9y7H0LcgzODq9/Hk+2/y8boVhBqoLyxeu4IuaRn84KqbmDRkxGl+6o6JmkUrIxJWaRYbVqOZqqCHNaKdPaFa9IrABG0mwwImLEYjQt1yx/7hKgSdhpp3lzXvRopCzQcrMI0dgG1eWLUk2YK+IZpb7kxA3zufrPsuD0d7bDkQr8xBWMPaPH4Q5klDkFIsTJgwAUmBBe40hgbCxkFxRRk5aRloJIlgKERpVSV9vVr6ksl2rZuPrUEmTJjQ3o8XQWsWTJLVxMgf3UxNYTE7Pvgc995jiN5AWE7KYiBleD9GXD4PYx1ZmTY3g8x7FlDx5Puqy8pOT6Ohz2nXnYehXzTE/lwKuRREAUPfAuhb0Ow6S9au4D8fvUONU93vv9yynmcX/Y+rZs7j9vmXnXNOR9/hU5z60RPNGs+hWheVzy/GPG5Qmx33uoIsMm65gGBVLZ7th8Kh1sFwqLWuVx6GAd3DfCynCWfD+BCNeozDeid3IkgixmG9CdmduGJykyEc9dJQC15XkE3G7RdR8eR7BGN4B+yLVrWLMa/4A3HHNEmkBSE8zjTpNvx1xrwSCFL5zEKVcZ/8Zgq1n65HP6A7GTfNa7p8J1qMtGtnE6p1JY3ggzri7LpUjti1+LmwTjjX0CpjvqCggBdeeIEf/vCH/Otf/6JenuW73/0uiqKQl5fHY489RnZ2dtMXS4AJEybwxhtv8Pjjj/PJJ58QCATo06cPP/jBD7jkkktadc1OhHGo8ARfb9tAWVUVGkmiR24ec8ZMIt0WZu/X5maiyU4lWCfrAuD4fAPpt16A0JBlNBjCsTTMOaAoCqFaVziMTqsBjw/T2IFYJg1V1REEAePgnoTOG0Ptp+sjx11rdkY+MLUuJys//pziNVtR7G5EIKTTYO7fnQmXnU/vHr2SPt+Z3t1RFIWKJ9+n5v3lTWt0KgrOr7cgOz1Y54w55z3E9ZIxiRaccblwgO2CCZgnDYn0G2W+gmf7Iezvr1CFSLrW7qbgH/dz4u6/UnGyiCqHPSp/UgcBAavJTFZ6OhkLppNySTj3yufz8ZOn/s7OIwdJhpLqSh7+z2M8eP3tXB2zi3yuQfb68ew4hP9oMbLHhyBJSBk2TCP7oc3NAOoILBevUdUzFmQz7PaLGGHSoygKLpcLs9mM/3gJVS9+HPktZJ+fimcWoslMVdUXjXp0PXNRQjL+I0URR109yh79H6YxA5BSLe3GCdBWSFYTKRdNwjpnLN49xwiWV6P4g4hGHdquOSq1DYD83Fx+oOuLORDd1XJ63Lg8brQaDf6g+p0MD5joY8ihS05Ouz1TQ7RlwZRakMu0+8ORdbF9JpFzNO2KGcguL+WPvdOs+5knDyX9tvmRv7/pIZfPPf88T7/5YtLz3oCfVz//iMLyUn59y3fbsWVtg+z1U/Sr55FdCbS6hQb8CnVQAkGK/+8Fur/yS0RT239LTbotzmg9Ezhbxoc2Jx1pirnRNY19ifrbK+i1mBusu+oh6jSYpwzDvmhl5Jh70744CeIzASFBikWgtCppGqcSDEXWoYqiECiuQkqJRrCEZJlatxOnHMQvgS0gYDGaMOqj/arqxSUYh/VOGMrfibZD3ysPfa88ghV2vPuOE6pL05WsJgwDuqPJjFcFa0/uoG8TWmXMQ1hL/vPPP+frr79m+/bt2O12LBYLw4YNY/bs2eh08XI/LcGwYcN4/vnnmyx3//33t2hHfv/+/W1p1jmLw0UnefKNV9AdKKZ3UE8PRUJGoVzcxa/e/Yjuk0Zx7xXXYzGasF00maqXlkTq+g6fovLFJVjPG4OuexdQwH/kFLVfbIqSnIVklJCMJjMlYrSaJyf+oACYxg7EsXRTdHdelvEdLGTH58s59L9PSfMLhP3bdRNzENhayIGt/2H/0O7M+3581Ed77O7Ufrqemg+Wt6iOe+NeahevIfWyxMRQHRmlVZV8uPprlm5aS0l1JQIC+VnZzBs3mYsmTSfdmhI2ID9Zr6pnGjsAy5RhqmOCIGAa0ZdQTZhRtx7O5dtIu+tinrJV4PYdZZxiJrPB1OQlxLpgKQflcv6v+6V0qTv+z3892qghXw8Fhb+99RIjr7mIfgMTs+V3VMguL/Yla3Bv3o/ii9/dcK3eia5bDta54yAkhxdAMevolAVTEy6c9T1yMU0YhGv1TiAcWSM7PUgZdR9gQcB63hjMk4Yi6sK/h+zx4fgyTHZTD8UXwL5kLenXtzCEtg2cAKcLol6LaWTfJstVvfYFQwUrR4XyMFFTHUIoVMteUtConHWiIDBMsVL9xlLSb5x7BlreONp7wZR+/RxCdhfOZVvxHytOWEZbkI1l2nCMg3uqnALf5JDLNWvW8J/nnmtW2a+3bqBfQXfunts4J1BHgePLzQQbpMxpczPC64S+XXG5XGhLanB8tVkV2h2qcVL76TpSL5/e8JIdEmfb+BCN+qhMaYJow1C1U/W3rmtOo9wE+gYRJUow2Lzd7jZCtJqQ0m2EqqNpc+71e9Al6QeenUciJGqK14/s8aHJSUP2+Civqeawp5pPDDUc0vhQZLAKIpNrLExX0slJy4gY9TVvf4Xxty2PEu5E86HJTIlb7yVFO3IHfZvQamMewiHxc+bMYc6ctudBdeLMYcfGzSz67b+Y79ahQe0pKwjB4ICR2i8O8vTuP/OdX/yM3AsnYn9vGSF7NM/Rf7SYyuc+CntXZSVudw5ZRtBIiHUs14IkoU0iUQQgGnRIGSkqduBDLy2i6qPlpDWyh21AhJ0nWf3Ik5w/bQSatLBMYXvs7iiyTNV/P407Xt0zg60mL2VSkKyQhpEeA+lHq1Q791Wvf37aGHVVbWoqOqANWLjyK558/w0CoehvraBQWF7KC0ve540vlvDT625nWrf+cblw5snJJ3bzuEE4vtwc3U2QZV7906Ms270F9LBB5yJH1pAW0iACblHmlBQgICjghp89/Q/euWw23oCfDz/8UHVtSRSZNWo8uRlZrNm1jUOnokSdIVnm1ddf43e///1peT/tgWClnVM/fQrP9kONlvOfKKXyhcUYGjBeazJT4zgsYmEa1R/X6p0osoxc6w73p7rfxTx5KNYZauUQ0agn5aJJhByusHxQHWoXryHt2tktfLpzA7IvQM37yzAYDORnZlNUUYZXkfnKUMsWvRu/oKBXBEb5TMz02jAIInmZ2ej1emreW0bq1TMRdW0j/moxzsKCydC3AEPfAgKl1Xj3HA3v0igKksWEfkC3pDtw3+SQyxdfjN+RH967PyP7DuTQqROs2rlFde7trz/lNv/P0Ws6NjmvoijYP1qlOqbNzSTz7ksQtJqw0SkK6PsWoO+dT+WLi/EfK4mUtX+4Ko4zocOiAxkfCdMGpYYRk8H4MrHn/QnOt0N6hyAI2C6YQPUbn0eOuTfvR5ufhWncQFVZ//ESapdEI8xCNc7wuk0jcbK8lHK/i+esZXjE6Mt2iDKfmmrxehVmlgXIz8zGZjPjWr87oUJJSxGsqsW9eT/BkioUf5jsWFuQjWlkP1XEQCc6cTbQJmO+IZxOJ9u3b0ev1zN69OgOxUb7bUVNYQmbb/oVI92NG7A2RWLMqSCf/vnf3HHp/+jymzso+ulTceUS7QwCCHod2jxTODRVCXuzQ05PcrbikEzIHvUoB6udVO07lJSoqyFCpyrYdd9fGf7fRxAkqV12d9wb9qqcDw63m/9py1i6Y01c2emGLlwfyMFWR2wUqqzFtWZn0vC3lqA+lSBY5cBbXokzKwNN+uklinrn3Xd59J3/NlrG4/fxu1ee4Q8X3UifmOOCpglHjkmPJiMlQmITCARZs/SrmAtAqRTE0jWXVIuVg4cPEAhF+0VxVQWLPvyQQChIMIZ3QRJF/vOTR+hT0A2A2+dfxj/efoWP1iyLlFm6dCkPPvQQZkPHXixDXRjrQ8/gP5p4pzMOioJr/R4kmxnJGn4+qQEHRkPUS8wpgWDUMSQrYQKlRhwylmkjVcZ8sKKGQFFF89p5jsG5bGtE5cNsMNI9J49PusGWI9vwB8PvzCcobLb46TmsgHknQVenrR2yO3Eu36aSVDod6Ghs77HQ5qQ1m0n6bO96nkkcO3aMbdu2Rf62yiIPDJjKSFsuSqEfQduHa0bk87vNn1AmhQ2sGqeDFStXMGdex87zDdU48R8uUkvYzhkT0ZmOhSCJ2OaOo+I/UcdroKii+fNaJxqFNls91vzHSwnVupLKh3p3qxnHRZPhtKQ8NAcpF06k5u0vVXxJ9g9X4Vq7G8PgHvgVGW9hBf7Dp1T1ZJcHTU46paWleHxe1hpcKkM+Fqv1TiZ6zRRVlmFIt6HT6XBv2BshAmwpAqXV1H66LiHZonfvcRxLN2EY3APb+WePH6UTnWiVMf/OO++wePFiHn/8cVJSwju9+/bt484776SyMuwBGzVqFC+88AIGw+nTWu1Ey6CEQmy563dkOmWViSyJElajiZAi43S7VQZ09gk7+/75KoMevI28v3yXwu8/huxOkBMXez2bmdRrZ2N/b7nKK+zeuDdpPpt391EUr7+unTL+0ko8IbWjQLYayRo/FFOKlVNbdqMcLVE9R/WG3dR+sj68U9gOuzux0kqVlZVsqznFUks5iQIJlntL6OsIMiKYQ0YdH4Fj2dY2G/OxqQT1xpfs9hLwnL5UguLiYv756D+bVVZB4T+ffMCfssYh1UtRBUOEXF6kJDrLSkhWsVvX1NTgi/lIioLIn+9+gPGDwsZkeU0VDz7zKIeLTkbKvPf+e/Tpqw6PnjVqPH0KuoXfixIm0LnjwstVxnwgEOTIkSMMHTS4Wc93NlHz/nJ8DRY1CAKG/t3Qdc8h5PDg2XlYJScpCALB0ipEc1jWL1BciRIMRWTCGsJ/sjT8nxhZOiQRTYatUUeALj8zTu4pNpLnm4TYlAIA68Ce3HPbfK53Odl77DBOjxuL0cSgHn2wmc1UvLBYpc7gWrvrtBjzHZ3tvVXoQLuepxt794alNG1BkTmuNAaHzPQt9uMrjkYLZQI/9nVlX6iWz4y1FGkC7Nmzt+Mb83Z1aLegkdD37ZqkNGi75SCaDKq1RCwvTydaD9P4QQh6XZTIU1Go/XgdqVfPilNXCFY7cNalVdXDMmNkHB/SmYImK5WMOy+i4hk1WW6wvBrnsmpkWY7j5FEUBcGoRzZqqTlVA8BBbbgfiYLIpCEjyEpNY+2ubZRUVxIQFI5p/PQPGqiuqianSw7BKge6Vhjz7m0HqXh2YdJNrLoG4t11FP/REozD+2BsEB3XiTOLMxmdei6hVcb8hx9+iNfrjRjyAH/605+oqqri8ssvp7KykuXLl/Pmm29y2223nbbGdqJlqP10Pb7dR1XHjHoDvaePx9SvG4o/QOXG3RzbtlslQ1TxyqcEbr0U49DeZP/oGtyb94d3pWMYUAE02WlhndCR/RD1WiwzR+H4Iqoj6ly+DX3vfHTd1CRQwUo7tZ+si/wdqnXhV2RCApHF2rYuEvf/4edo6jz9fS6dzfvvvIN28SYsStgwcTgdVL73Ndbzx7XL7k6wLLyT7HQ6KSsrY4/Ok9CQr8cerYcCezU6jZZUm5lgWU2L7xmL9iKKeu+996I73gp0C+m4NG8gQ3O6EVIUthUf5cPSAxRrwh+4oqCLGqeDjBgZLs/mfVimjUh4fe/uoyoGcbfbRYUlFOZFAOZPmBIx5AGyUtP53mXX8aN//zVy7PjxE2THkIuZZJGRdk1YIqmyFiUUQjTq0XbvwhCs7FYcKHW/ldfbuHOqI0CRZewfrVYdk9JtpN84T7XraZs3jtrPNuBaE16gCToNikMO575bTcgeH+6tBzCPVYcxQh2xWYOFnajXIogissuLIitJpbZkXyBOt1nQndZAr1bjdO9aN5RG1PcPR36kmC1MGDw8rryhfzeVMR+qTCCt2EKcS2zv7QlFlvHuPR5mNK+sZzQPEzaaxg6MpGGdDfj9fnL8EjdUWDEHFXRaTUQ5IhZajZbufj23OzN5x1yNPxCvrtDh0HD9LAiNfgsFQYCGc0nnIvy0QLIYsZ43RhWW7tl5mJDLg2VqmElc9vjwbD+Ec9nWyCZKPerJZNsLqVfPIljjpLIuUsPl9WB3OfEHAiiKjFajxWoyYzWZEQUBfc9cghV2KquqIv1OADSixNM//hX9uvYA4L7Lr+ORl55m5Y7NEcnQGnsN2dnZjUpGJoPvSBHFv36hcUM+BrLLQ/HD/6Hr0z+OENKey+jI0V/tEZ16rqFVq69jx44xc2ZU47mqqooNGzZw1VVX8dvf/haAq6++mo8++qjTmD9LUBSFsv99SSBGDsQhhMi6+2KyxkTzYC1ThrHl2ZdIWX0w8i32ut3ULllL+s3nIxr1WKYMwzxpKMGKmghRimQzI2XYVIM95ZLJKmNeCQSpeHYRhiG9wt5KjYRv/wk82w6p2MxDdiduSYkYc3u0HvLOnxsx5Otx3vz5/OSrL7nOVbdoVcBz4CS+fSdoEVq5hqj3AJaXh8OJAzEX6p6Tx+Aevdlz/AjHSsK7qX4hfL6ytoaULlmqZ24N2oso6pNPPgEFhvqNTPFa6GdMo4vHDMfCUTczSKFPsBv7PXZWGpzs13rZrnExi9TINRzLtqLrlR8naRisqlU5cgCKTQJVmuhzDewe3/ahveJJykwmE4ICM7xWpnotmLadJNglL3Je9vio3r6fK2uszBCNvG+qphTIyOj4H1rf/pOEKuyqBXLaVTPjwpcFjYRt/gQCJ8vwnyxF0GoQjXpCdieSNbyzXvvxOkSDHsOQKKOv7Avg/GJjZOe/fudeSrWEz9d9LGPlw2Lh2d6AdFAQ0HbJIHC8tE3P3Vqc0V3ruAVN0yoWjddvGb7pbO+thXvrQRyfb0ioYe8/UYpzxXYMA7ufEa6S5iBD1HNDpRWLLKCg4Av4CQSDaDXR75qiKLi84W+qBoGrXWl4vR0/jaB+bqmHEgjiP1aCvmduwvKBooo4kjUp3ZaYCb8TLUbaNbNwfLFRZXj6jxRRFeNUTATThEEY+nWNc8yeSQiCQOYdF1F89Dh73/oYg7uuzUo40s8fCOLyejhpryRzxmhG3nAhFc99iKcoGqU2MGDENGlExJAH0EgavnfZtWzctoWewfA8KIdk/H5/lNS1BSh//F0Uj3qTSDDoMA7rjSYzlWBpFZ6dR1SSeyG7k4pnF5H7yO0tvl9HwLkQ/dUe0annIlplzNfU1JCWFl1UbtoUliebOzfK2jt69Gjee++9NjavE62F79ApAofVE/kSo52/DewXV9Y0sh9bNm5jtD+cYyUrCvaP15EWo88piEI4N6tBflYsDP27YZ07DsdnG1THvbuO4N11JGEdRVYQJBEfYsSY36RzMTvBxyUYCnJA46VWCGGr251HAN+Bk63Oh2oJpBQLXq8Xrye8KOkd1LMOF7ecfym3XbAgItH42ueLeX7Je/Su+6D4An68Hg+WtOSaqs1Be6QShEIhykpKmW83MdodzvtNMcfvbqVYrBRUeLjOlc4yvYOV6TXMIj9yXvEFqHhmIcbhfTAM6oEgingPnsSzeX/cwuFETxvERJPvOXaYiyapGW53HonXrJ4xbTppH2xiqDc8jfkCfkqqKslKSUWSJNw+LyWVYcdLpqzhNmcmX/Yw07NnT3VYeQdEoKhc9bc2NzMuwqUegiBgGj8oEjIvpVkIlkS5HRR/gOq3lqLJTEHXMxefw43jaLF6x0EjIVqMEQJLgNola9EVZMWNrWC1I0xgGAPzhMFxC/z2wpnetZbS1ePWu/d4nORmw/Oq+o1oKTcH32S299ai8uVPqHn368YLKQrePccInKrANG4g+h6JDc0zhe5biqhRJGSiv93xqjLyJ4+iy4DeVJ8s5tiy9YTkGN4PBIbvru7woaNShg1tQVZUzQZwLN2E7o4L4yVsZQXHl5tUxzQZKeh756tY7jvReugKsuny61sp/lXTClD10OSkk/PgDWewVclx9OhR7vv0vzi0LnqZdQwOGEmRJQQF3KLCIa2XXVoP8uYifjk4l8lThiHv2hepP8FnxmXNjLtuTloGs31qbRFZAPOEQXi2Nq16Uw/fkSI8O9Sks4ZBPUi9YgaiIarUZZ07juq3lqr4H5yrdhAsr0GqiwoKlNfg3rSPQGE5is+PoNOgyUnHNHpA3GbH2cS5EP3V6dhOjlYZ86mpqZSXRyfxdevWIUkSI0dGd3wVRSEQaF54SkeEy5U8/1OSJBUXQGNlRVHEaDQ2WVZRFDweD6kxocputzvpR10QBEwmU9Kyrl2HwsZl3d9OIcR+rZf1e7YzZdgo5Jiyq3Zs4YDWySifKfJ8oSo7oRonHp9XVbYhYonEvF4vlrsvwltaRWDZ1oTvoh6yooCiIGbYkMx6tGVleDzhZygS/Cxeu5yrZsxFr9Ph8/sJyiFeX7qEkCJTKvqxBg0IgoAoSoRc3ojBUV82GYy66AD3+/2RXZFkZevb7A8EkIb1xPXh13XvVKFPQM8AXSpXTp+DLMtIkoQgCFw1Yy6rvvyaAdX6CB+By+UiZ1hPXC4XoVAIqS7MPxAM4g8mHyfGYBCtRkIJhfDVulRlFUXB7fWAJCIIAnqtFo2kCU++Pl+c9nUsdDodWm3YWA8Gg/h8YQ90KBRido2B0S4dSl3qRWy/UgiHtspy1Cs63WthtQf0c4biWblD1T7Xlv24tiSWgxQEAcPgnmQNMcFzuyM69kvWrmB0/0GREOay6ioee/f1aEUFCgryGVUcRPKb8CtR73mNsxa704EoCnV9jMhvoAFusKfiOHoKKTMFl9eDRpTQ18loKoqC25d4p0h0udDodepx30jfkUQRQ0xfc7lcKMFQwjqiIGDUq6/rdboJyTL1mSdClg2X1xNX1u31oqAQyjBH3p9gNiGYDIQaRIL4y2rwlyXOS0QQyLhtPo7PN4ASHp/+siqKH30bw/iBaPrmQ0ghsO8Evg17EQLRa8uyjH7uGFwuV8LnU80Rfh+hunaKLlck776+XrKyqvdVV89kMqF4/Xh2HMbn8SYd9671u8g+bxxS/Rzh87Vo3GvG9EVesQ2l7lm9hwqp2XUIbZ/8uLKuvUfxHi2qfzHhcNDR/XC5XBgMhsi49/v9jX4fY8t6y6vwNtLe+nEfqnYQCATw+/1J+1p9WQg7R311bUj0W+g02sgucjAUPt4w7LK+nlaM7iaHQiG8jYSKayWNqmxjv4VW0qCrm6dkWQ73sc83Uv3qp5H+Xg9BEFTtqz8vV9dy8mdPkfP49xHrHE4ajQZ9nXSVoii43W6SQaPRoKtrc2NzBETHfbDagW/1LmwpNqqrw8b5CY2fN7VFuDcdwbLbhMvjQSsKXKxNZXjAhKIoGPUGpJIaqjftQdeva+TdJJojGqL+txAaOCrr54hEEBCwtqCsqW7+EwQB49yx+J5fHB0XR05R+sJHGGeNQsoLRz8FSipxLt2Me+/xaMSKLGOZOwa3z9u6cR/zHpKVrUds2abGvUlviPQfn9+fcEzUo+G4j1V8qa8HYf6Y2Pm2Ydm4NoRCaDQtnyMCgQDC8F6k/fImyn/5PEqDtENBFCIpHoqiIPXKxXjFNLyCgtDg25RsjohFonGfrGw96klBZVnmoYd/jt0Z3nQ4JHk5JHkj50RRjBnLCn9+/QVee/xpRFFEQUFRwuohxo+3U5XRA/OIfujNRgJFFRx8/wvGeI0xfVhBGtcfn0GDy+uJm088/sTpmbULVyDLCmJdfxDNRnSXTMRDCGL7ggb0l03B9/j7CPWbFCGZ8g9XYJgwiPLnPiTYMDpCEBCPl+LesBdtfha6OaPQdM1O2N/i1hEtGPeN9XVRUI97Z2U1jvW7ogpDsc2tG/f1RrJXCaEoSsJxETtHACr7oanvfTJbo76e2WyOOLbrx33DNXA9tDGOba/XG7cWgmgagclkio57n49gI+vmlpQ1Go3Rcd/EWG6qrNnctFqCoLTCBXznnXeyc+dOXnvtNfR6PVdddRX9+vXj1VdfjZS5//77OXDgAJ999llLL98h0FiuyPz581myJKrDbjabky4Gpk+fzrJlyyJ/Z2VlUVGRmPV55MiRbN68OXLvHj16cPz48YRlBw0axO7duyN/Dx48mD179kT+Pl+by82GnpFnKTPBS9ZK0iw2TlWUceDkMdX1dIi8bJ2AAHTv0YPMzAy6v/wLZl90Aat2xhvmEP74FS+MPtt1j/+Gjz/5BAmBq/XdmKfrgo7oZD+yb1Tf+0jJKT6sOszb3uM8ZVWTQz3i3omhRy59C7pz5Yw5vLjkfb7YFA3N/pd5FNlidMKY9NiDpOWGdy1//O+/8fzi5BEhO15+nyE3XIKgkfjJj3/MP/6ZnOht3TNvMLB7LwD+9NpzPPr6SzxlGYtRiD6TQwnwqvcYv/3Lnxg9aAhKSObNZ55HWLYTmxCVo/IpIe51bsJDiMV/+TdTh40G4LmP3uUnT/09aRs+WrSIiy65BCUY4pkHH+HefyaXVXv54T9w2dSwPNinNce45rprk5Z96aWXuPXWWwFYsmQJF110EQC9RQu/M6tZzG0mM/2GDsbQrytHT51k55crSRfUXk8ZhQed23hmxnX0qaNWcHu97G/Qz2Jh6ZrDBSteoirkY/asWeyK6c8NkZ2aTl5WWGLNHwhw8vhxnrSMQYvaKF0dKGen3oMxI5WuQR3jvWbMHvVEvjxQxrPesNf9+vPm8/SPfw2EP355l80kGa688kreeecdlGAIx9JNpFyQnL127thJvPPbcN+ynjcGS4ot6RwxZehIlvz16cjfva45n9k+Gwt0UT3gA6FaHnHvYmivvjx8011U1dai12r55XOPU1JdyThNOg8Yo+PLT4jjKRJXZ0eP7T1+BK8/3siSUXhfX8n/jm+n8Hv/xH+shD27d+NOwi2gkSRV2sNX9hPcd3hpQhOg4Rxx1a9/xOcb49Uf6mGPScG4+Q8Ps2jVV0nLOp1OxCMlBE5VcM8/fssbSz9OWvb4svV0mx7W7773nnt5+pmnk5bd8fL7dM8Jp2v88vknePq9N/i3ZQzWmPEcQGahr5AH//I7Bg4YSMjp4b3Hn0W37ZiqT9oVP/c7NxNEYcOGDYwdG57r/va3v/Gzn/0saRu+/vprZsyYgRIK8c/vP9ToHPG/3/yDeePCoeTvFe3m9juSayrHzhEfrPySW//4i6Rln/rRL7lhzkUoisKiFV9yy59/mbTsE489zs39wu935Y7NXPTg95KW/e0d9/HLZ/6FoJHYsHYd4ydNTFr2oRvu4Oc33gWE++/M797Evy1jMAjqUPTDIQeWUf257uLL8B8voXr9LnYfUDsRF/kLedsXTsm69957+fe//w1AeXk52dnJ5RtvueUWXnr+BRxLNzU5R1w6ZRb//cUf63KCF7FpUziCJYDMA84tVCvR8WczmemV3xVRge87stG7g5ExtCJQxjPe6M5gojmisrYmYRvGjB7Dl79/MvL30FsWcKKsJGHZAd16sufwwcgie1Dvvuw7cTRh2W7ZXdj5ysLI3xc+fD83HkT1nauHS1KYPHQkQl0Y/cHCEzg94fnPo4T4oWsLtUp4wdrSOUIOBHEsDe/0NzVHFH3wNV0umoqgkbj15lt45dXkCi2H3/yEzNRw5GFz1hGxc8QT772etOy6Z95gQH53vPuO8/EHi1i9ZSN+ReaE7GZ9oAJvTOTG+jVrGTcx/F1p7hwB8O9//5v77rsPACMSU7RZzNF1oUAMO6965xVgs9kwDurBcqWKW/6bfN3Tkjnixedf4Ir8MJnsZxtWc/X//Thp2b/f+xN+9NifWbthPbfddhsHDsRH29UjLzOL7LSwQ8jt9XDg5HF+ahzISE18ZGiX9AzyuuTicbkoLCvF4Yl+ZxUUfuHawTE5vIl2/xU38Ps77wfgeGkRw269POH9f2MayuTcXnTr2i2cxjOmHwP/81DS9v570AXMMuQi2cJO9Xc2rSBXNGIS4vdLUy1WeuZGoxg3HtzDk56DbAjGy+fFriMAchfMSOpMnD5tGh/+PMor1NgcMbLvQDbv2RlxOnXPL+BETBpDLAZ068n6Z98EQJufyZhrL1HZGrFoOEfM+P5tbD24N2HZDFsqR96OSj1f+LN7ktsaJhMulwvnim3Ibl+Tc4Rj+dYIZ9NVV13Fu+++m7Rs+bodpA/rh2jUc+utt/LKK68kLVtWVkZWVjia4nvf+x5PPRWv+FWPo0eP0qNHDwB++tOf8ve/J/+G79q1i8GDw+PokUce4Te/+Y3qfHPM9FbtzN95553cdtttXHLJJZFjt9xyS+T/fr+fDRs2MHny2clV6wRhD2IMMmUtggLVzlpOJviwd62b9BEgtY7YUGhlmEoIhTd9x1nkK2SaNpvx2gzSBR1SqhXRbMDQvxuvrTrGm0XhxUq57CUrxjifrc1hNXC46CR/eeNFTpREPZtDpBSVIQ+g6Z4D7cAZ5EPmi0Axl8QYWVZBy73GvtheW0FFt8MEK+0MKKykuMEC56tAadxv0hExT6cORZVReCl4nFxrBvN79GdrQOZXzs1coMvjBn2PSDkRgem6bPae14fhxQbc6xNP4BD+wK4JVJA2tD8XpVjI1qRw/vnnN2rMxyInLYNeRZ44Q/6v7j1sC9WQqU+lQLJQKgXZKDqY45AYpYmGh03UZvKa9xgukntVmwMjEhO1mfQQzRgECS8hjoVcrA20XaLtREgdwdNPspEvGjl8Kjwm6lHlCHtOZmpzGtR38z9riLsWTMO1emdEBjAWCgpbg9V84CskYLQg6rTk/fFuTn7/X81upyYnnQ+Nh1AOt+DhTiOanXrSgH27JQiisNhfxHX67pFjWkSu0ndD/8JSSlI3Iru99K50U9KgTy72FxFMstPZLHyD2d5bg6narDhD/iXvEb4IlHB/zjCMw3pjHNab6sG5HP/ZFrqL0R2Nmdoc3vOdbNvv0Uz4DhWq/t4UqFIZ8rGQBdhp8jPWI0UWbT2ljq9b7RUVHvXs52HT4Li5OAUNisMdF3Ivo/C4Z3/EkP+mw4CItG4/pUdWIzs99Kj0YNB2iZy/Rd+TVYFy3vOfxH6a3omHEF8ESvgiUIJN0GIVNDxx8YX0mzodUafB9cXi03Kf1uKjjz5qskyf/O7UutVz9lOegzxiHkK+qE7nqqq14/Z5CYZCcdE6z3kPRwz5lsDYYI4RsxvPua+KWZIq/iATtJmUy80jZdYgcr+xH79z7+JAqPUpkm1CI9EtsWhLCmdbcaZkTAPFlThrd2Acdm6nqLVqZx5g2bJlvP/++wCcf/75zJ8/P3Ju7dq1/OUvf+Huu+/mggsuOD0tbWecjTD72tpacnNzIzvzbQmz9x8tpux7/0IBTp44gdvl4n+mKvbovHETHsBl7jRGBExkpqSR0zUfTVYq3V//NeUfr252mL12yhBkIRxa5vh6S6NlY8PjlLIaHK8vxevzcuLoMUKyzEJTDdv14VAcRVZQUEiTJW5xZZEmS2SmpJKZn4c2P5MeLz2M6+uwR685YfYpc8chaCR8bg9Vn69HkWUCBwvxbz1EqLwGJRBC0GsxdOuCZfwgtF2zCQSDGKYNo7ioiE/O/y7dfRqUurwdi9FEbnpmOD1BlimtqqDWHf2dCyU/sz7+N93790EJhgis2oVS5cC1aR++4yWE3F7QapCyUtCN6IOme06kD2SePxGtQY8SDFH16br4MHuXC5PZrAqzBzDOGIG/kXC+RGH2ssNN0Y2/J+DxceTIEeRgkGX6WpYZndFIFUWJ9IeLPamM8ZuRRIne/fqgSbHQ7fVf41+7h5DTg2vzPlw76qTTFAXRYkTbtwD96L6IKRa0koaMCyYiaCT8Hi8/vOE2Vu2I7zcQDaHNSknjH9/7KaYvdxI8URYO8ax14eqRyRvaUlZu30wwFIqw1+ZmZHHJ8AlM2VCOqIBoMyMAqfddhqyVmh1mb505KhJmHyivofj/XsC5eT/4EyzAdFoMw3uTNnd8hGnY7fMmHReJQmiVYAjnS5+iOD14vB5OHjtBoeDlVVMFnhgXrBySmeC3cIE3hVSLlezUdESbmbT7L8cydyyhNXtQFAX/0WIc+44huzwEgkH02WnoBvWI5PUJCORcNAVBIxEoruTYPX9rlMxOFEUMA7uTesUMdOeNQhGFFo9768xRkR3B+npmg5FgtYNQjROfz4ti1CFlpaqMgvp6Rr0e59LwzmdT496kN2CbOxZBkvC63FR/sSFp2YYhtIZpw0AUqPzja7g+VdeLTVdQFEU1B1sunED6g9dH2t6aMPtE474hYse9YfpwAnIo6W+RLIQ20W9RH2avKAr22lo0Om1cxFp9Pa0o4V2+HWhemH39uA/6/JR/knyHpWFYbNU7XxM4UhQZ99r+XbFcOythWcfJYhzPhA2H+nGf/osbMU0e2qowe8fSTc0Os3cs34Z7/W7kUFgWVh7anY+CxXyyfiXVjrC6gYCA2Whk3rjJXNVtGMrCtZG2anLS6PLcTyO/RXPC7Ot/C0FWCK6OOkabCp2vH/dKMETp4lXNCrMH0EwejCIKeLcdouynT8eRhUF0fMiKgqDTYL5yOul3XZxw3NcjWeh8/fOZ9IbIznxzwuxtc8YiaJoe9w3D7I3Th8e1sx6NhdnXtzNYYafiVy8Q2H0scq7hHFEPwWrCcv1scm+7CI0+/D1qaZh9fXpNU+M+NrUv0bhvTph9onHfnDD79PMncM3113H48GGCdQ7W71xyFZdPO0+1njlZWsx3//m7+peGYDGy6MMPWff5VxT98jm6B6N56wIxSgp1aXUBQWF9nsTDX7yF3mSMPF9zw+w9S9YROHgKURAI1bqwzByFNCW5nK13yXp8Ww4g2cwEiirCqQy5Gch15JyCUY9ueG+kLulQ7SCw/UiEuLN+Pa4f3pucJx+AkBz5LZoTZh8Z94pCcNXuRsvWQxQEsi+agiCFUzhLP2r+uJcmDwJRTNjXGguzT/a9T1Q20fMlGvcN18D1MBvC6y5BI+H1egk43TjXJE4jiIx7SUQ7tj+yNrkDoCOH2bdaS2jGjBmREJ+GmDhxIgsXLmztpTsEmvPyTmfZRBwDscZ6U2hY1jykD45BPfDtP0HXrl05ceQoF3pSqRYrI5Ji4RvDaL+JkUEzaTYbmSmpANjmTwznxenVu+CNwWAwRAarHDNIE5aNmaCMC4bjfmc5JlGkW3YupyrKuMyTxhi/md06Dx5BpmdAz9CAEQ0CWWnppFltSKJI+uXTEWO8b3qdjubGE+h0OsQjpdQuWUOoJuoFFgBcXrxVDrzbDqLNyyRlwVTMZjN9Bw7g6YuGElyyk97u8H1dXg+HiwrRabVheRWikh5HND4ODM/me8OGhB0Ix0so/+9ncTs3AMGSKoI7j6LJSsN24UQMfQvQxDAfazWaOCZkQjJmgzFuka3RaNAamvcmNBoNGo0G975CRFlBr9eRl5tLYWEhGw0N8mQFIZJHttbgYmzAQl5mFlqNFtw+KAvvFEsWI7bpI7FNH5nolnHQarX84c7v8/6Kpfzv688orVaHnOk0Ws4bPYG7Lr6SdFsKZaUrESUxvBMpinSfOZ7f9OuK0+PmWMkpfH4/adYUenTJQxRFKms+xnewEEkUQQCx0oGxASGWIAiqj0sszGZz2OlwvIRTP30K3+FT4b2oRPq8wRD+zQeoOFRE+i0XROorwRAhnQHfgRO4N+7Df6IUxRdA0GlwZaViHNUf4/DekTZoL5pExZtLOXXqFLIik6fo+KEzl206Nyc0fiyyyPCAidyQFgSwu5zotFpy8rPImj8JQafFUfdc+l556HvlhXkMXK7w8yRJJdJkpZJ99wICJ8twrd+Db/8J5LqFumgxYhzcE9P4QREyHKPR2KpxX/9OlWCIkEaHZ+cRKtbviRD51UOymTGNGYBp7EAkm0lVrx7NGvd16wS9Xp/0d24InVYbuZ/p/+6gsNqFe2PiqJPYnG3T+EEU/Oo2RL0uYVmdTodOl/hcQzQc942W1WrRaQzN+i00kiayaI99p4nqaSQp4TwTW6/exJUkCbPUvPcr1V23ORAEgVBhuWrcp4wfgiFBfVEUSemej79bFwKFZdFxX1Qd9w0WBKHJb3h9X2tsjlDd3xTujfVtNbqD3HP1Ndx18RUcLT5FrcuJUW+gV14BBp0e54pt1NbNJZIoorWE+3my3zBRG2J/i9j9s9jFdVNoSdn6cW8aPwTxx9fh3rgX9/o9cUaKaDFhHTcA09hBceM30fPFzhHJnq+psonQknGv1+mabGc9dFptxECsb6fs9VP4yMvIJ9VEpg15HSJwefG88RXyhVOgazjlo0VzhFaLVqtt1riPnU+aHvfROSIWicZ9srINEQwGERAixkumLRWzwahaz6TbUqMV6riRDAYDV95yI8/uPsQbH3zEOJ+ZPkF1f60VQ2zWuygvSOG33/8xaWlpSZ9PFMWk/UHs143aw0WRb4ZnywGyZ45CkOK/97LXT+2eY0BY1SHk8qBJD69PEUX0/bqSdu15iPpoH1HOG4f9w1W4N++POryOlyEdL8fQv1urxj2A06SP7F431tdFkz66a620cI4wmpr9vY+1H5rqa8lsjcbGfWNr4EhZgwHl4CnMTc0VIRlOlmNuJomsXq+POISbQkvGckvKxqJjCAN34owg9bJplP75NSRJomt2F6xOB/c5dezByWGNDz0ig/wGemqtpGXasBjrHAIaiZQLk+cxnm5o0m2k3zafyuc+Qq/T0TM3H4fHjcnppIfPCChoJAmLzUyqxYqmbhLS9c5vk0ZqzaKVVL/+eZPlAkUVVD73EcahvTGPG8h3f3A/t2+5lZ7FXsb5zHQL6SLSQ/U4KfnZqHex3xjk8QXhXDbvvhOc+tlTKgbgRAiWV1P1yiekXDoV63ljWv18LUUoRjooJSUFvySAtwqS7EQFrUbyLXmYNdGJR3Ym3+FqCqIocuWMuVw+7Tw279/DkeKTBEMhslLSmTB4OLa6BbeiKCiBoEq2rZ5J3WI0MaRnvIxdnJSSv+Uh9sHyGk799CmC5TXNKh+yO6l6+WNsc8eizc3As+MQZY++HadbrnhC+E+U4j9RSu2n67DNG4953EDSrj2Pna8sJBTzEdMhMD5gYYagJxAMxpEpVdrt9L19PqLJ0Ca5IUEQ0HXLiTDoK8EQCELCxUxbESippPzf7xMsi08FAAjVunB8tRnnqh2kXjmjXcdELASNROqCqZjG9Me1bjfenUdU71jQSBiH9cY0fjC6gqxmhfh1ogWQFQiG1OM+s/HwV02GjUBhlDFd8TYvTLOt0PfKxxmza+XdfZSQ04PGYqRvQXdVWUWWcW3cp67fp4BzCZLZgHXGSCzThhMoqiBkd+HxeDBnpaMryD4j80ZHRtXLn+A/Hp/OqOuWgzY3g2BlbVgWNGYnUnZ5KHvsHQr+npxv4puALl26cOJ4VE546eZ1nD9evY77YtNa1d86nTZCDn393IsY2LMPby5dwge7d5MiS2gAt6Agplm4eMocHpoxr0UGakPYzp+gktAN2Z3YF60k5dKpqr4s+4PUvLcMxRte+4Vq3aCEHdAAgk5L2lWzVIY8hL8VKQum4jtSpApdr12yFkP/bq1ut5RmbVYoen1E3rcF7aEEdbbRKmO+JbvuCxYsaM0tOnEaYD1vDI7PN+LevB9BEEiz2kiz2sjz+5keCiIAeq0ubtcn47b5aLJS21V7NO268whW2Kl65RMEQcBmMmMzJd8t0WSlkfeHuxB12la107l6JxVPvt/s8kogSPEjL9L1qR/Rr18//vKXv/CTe+5jl66CzJCGLiEtekXALyiUSAHKpSA6jZb/u/UeBnTvSaC0mqKfPxMOOW/WDRXsi1ZinTUKy+TkMlinEw0/OBlaA2/+5C98umkNX2xaS2lVBQgCBZk5zBs/mfOGjMbx9/+p6ghJdiJb1A5RZOzAIYwdOCTheUEQEK0mlePAf7wEbW5i/XhFUfCfaLDb2woZtfJnFhKsqGnYGPR9C9BmpxEoq8Z3sFC1QAvVuqh4ZiHWOWMp/s1LcYZ8XFu9fuyLVhKyOzFMH85T2kIWSGCtiw4z6g3kZ2aHvf6Ed+NLqqI5+l/qawhRzYIWP13jqPf8n24ESqsofODxpIZ8LBR/gOo3l2Ic1hvbnLFNlj9T0BVko7syG/niKQTLa8JyQ3odmqzUuDHUidMHQRIRtBqUmNDGYHEl2qzUhOUVRSEQI9EIILSDhCmAdc4YKl9aEgnrVIIhat7+krTr56gkk5SQjP2jVXHzgq0dnemnE4IooivIRslXCLlc6BqJAPqmQnZ7qf1EbYxqMlNIvXo2uvyonFqw2kHNO1+rjH7P5v34j5eg696FbyrOO+88NqyPpjts2r+bv77xIlfPnIegKCxcs4xXPl2kqjN9+vRI5AGEyZRH9h1AeU0VhwpP4A8GyUhJYUC3ns2KDmgK+gHd0Pfvhm9f1Ong3rwf36FTmEb3Q8pMJVhciXvrAeSYTRDF50c0GxB0mnBEzpCekSidhhBEEdPo/pHQcYjn2mhxu/sUhOe8xqRMJRF9365tus+5hDOVa9/R0Kpe/9BDDzU5QdfT/nca82cPgijS5ZHbKXroGVxrd0WOG3Q6DCQ2uixTh5N6VXK23jMFQRDIvGcBIbsT51dbIqF6cZBETMP7YLtgIpqMxndlkkGRZcr/HW/Ia/MyMY3uj5RuI1BUgXvjXlX4veLxUfn8YvJ+fxeTJk3imZ/8H//97ENWbNtEhRSd0CVRZMawsdw872J654e9rFUvfxxHwiUa9RhH9kNbkEWo2oFn6wGCFfaYhiqUP/ke5onJc7VOJxrqmCu+APpj5Vw7+wKunR3PfeFctUN9QBTR5mUSaGA4nwkYh/ZS9WnX2l2YxgxIaHT69p1Qv1fAMLQXoQbHGkOwvAbn8m2qY9r8LNKunY0mRoc8WO2g+q0vVbuBtUs3hd9VC7Ttncu2UvPKhxzz2HkhS+D8ch39Awa6pGVEDHmAFLMFh9tFkc/JF8Zaduk8WDZvYsHllzX7XmcLiixT/MiLhCrjHRyCJCHoNJHw/mglhdK/voFhQDe0ufE6w+0JUa9ts05w/XeyE82Dvn9XvLujbOuu9bsxDO2V8B36j5UQLFUb823Z9WoJNOk2LNNHqHbnfUeKKP37m5hG9EWbl0mwqhbPlgNx3zpd95wwGVNjC/JOdFg4vtqinrcEgbQb58U5nTRpVtJvmkfZP95SlbcvXkPW9xKzrH8TcP755/PkE09Q7Yj2+4/Xr+TjdSujMn4NhvM1V12d8FpZqelkpTZD+7yFU6wgCmTddwWFDzyuOh6yO3F8lZjXBwBJRBOz661J4miMnM9Un5e9bWNyFo16jMN6J9dil0SMw3ojGtq+6XLO4FtCItsqY/5Pf/pTwuMOh4M9e/awePFiZs2axcyZ7W8UdkINyWIk76/3UPyL/+BavxfFl3iy0GSkYJk5CtPIvmdtcSkIAuaxAzGN6o9333E82w8RqnaghGREswF973xMYwYgWZqX95YM7g17CZaoc7Kts0ZjmTUq8uyGfl2xTBlG9f++Ui8e1+0mUFqFJiOFnrn5/N+t91DlsLPryCGcHhdmg4mhvfqSbos6GkIuL45laskNXa880m+Yq5pULdNG4PhsvcpIDpZU4d6wF9OYAZxpaPMyMQ7tjWdnlJq89tP1aLtmqwxWCDOANiQ/sUwd3ubfprmwXTRZZcwHK+xUvfEFqZdORUqJhuP79h2n5r3lqrq6rjkYh/fB+eXmZt+v9rP1KvIUQash/aZ5cTv8kQXa398MpwIQdgSIBj2ajOg71GSnYZ44BG1eJqFqB+7N+8K7+jEIvLMCSQGHpPCWuYp8rZlnzluA/1gxstuPoJGQMmyc8pl4bPNSlLph63C0nrm9PeHefADf/hOqY5rMFKxzx2EY0B1BEiP9LHYMEgxR884ysr5/ZTu3+PRA9vjwHSokVO1AdvsQTXqkNCv6PgWqXdtOxMM2f6KqL/iPlVD76Xpsc8epwl8DJVXUvLtMVVeTk45p7JmfR+uReefFYWM91iHs9eNa14hqhySS9f0rEQThXF1Tdly0dFnTymWQd9cR1d+G/l2TRo+IRj3G0f1xxXzzPQ3qtwva6d1AmN/poQcf5MHv/7BZ5S+dMovhw4e3/oaEncNiTD55Y6jPJzcO7kmXh2+i6MFnUBLolMfdQ6/FMnYAvgMnI8cCpY1HnAUaOBtPx/yvzUlHmmLu/MZ8y9AqY/6yyxrf9bnmmmu49dZbue6661rVqE6cXog6LbZ547HMHIVn+yF8hwqRnV4ESURKMWMY2ht9n4IIA/jZhiCJGAf3xDi45xm5fu1nakZbbW6GypCPtEMjkXr5dEoPFaL46kgDZRnHF5tIu3Z2pFy6NYVpw0cnvZ9n+0FVrqcgSeE8qgbeUUEUsJ4/Hu/BQtWOkv3jde1izAOkXDpVZcyHal2UP/4uptH90ffrCrKCd+8x3FsPxjGDplzSflKUptH90HXrogpR9O0/Qenf30TfKw/RaiJwopRgZfzue+oV01vssPLWEdzUwzisN2V+F4s/+phtB/fh8LixGI2M6DOAiyfPwDisN+7N+8NkLy4154BxZF9SL58RHW8FWeFIgw17sC9aFSknuX0M8OjYbQw74E4FXNhHdKPr3HGq6619+h8RQx7AYun4slYAtR+tVv0tpVrIvHuBKixRm5tB2nXnYX9/Oe4tUV3i2i82kn77fM41BEqr4nZNZLcP2e0jUFKFcVjvCLHgWUE7LupbA8v0EVT+50OVgexatQPvjsMYhvRCNBvwHy+JS3cBSL10apxU2pmENjeDvD/ezamHnk4eaRYLSSTtqpkYh/U58437FqI1Bl1rEMs9A6AtyG60vK5bDrG9o9mpeKcR7fVu6jHnvDlUX38H/3j7lTjel1hcPGkGP7jihjbdqx6tySe3TB1Oxp0XYV+8plGuI12PLqRcPAVBI6qMee/uo4QumJBwk0MJhvBs3q861jBySFEUZJc3rBSh1SBZTc3inxCNeox1RG6d0V/fDpwRAryRI0cyc+ZMHnvsMSZOPDdzv76JEHVazGMHYh478Gw35YxAURQCJ8twbztIqMKOEgwiGg3ounfBOKpfZEJtSExjHNU/6WQnGnQYB/dUGRL+48UtalewQd6mfkA3JFvinO1wdMIA7Iujck3+I6dadL+2wDJjBIYPeql2F5RAENe63Y3uKJknD8U4om+7hYYKokjOz2+k8AePqU/IcqN5Z6bxg8L5qC3c9lLlxSkKn53Yw9O/eTlOzmX3scO8sfRj7u45lmmKFA2frHsvgkEX/ugncJyZxw3Cs+1QpH/q9QbGBi3sJtp//v7Wy/z2jvtIMVtQFIXPN65h/d6dquuMHpXcsdRRoARDuBqwwlumjUiYXygIAtbzxoYdSHUGmuLz49lysF3aeroge3zJwx8BQjKeHYeRppjP2u5Jey/qWwpRpyX7x9dS/OvnVcdDtS5ca3YmqQX6fl1JuWzamW5eHAwDu1Pw+AMUPfSMapHfENr8LFIunPiNzpXuCGgPgjBBp+bNCDVhnIfsakdPw/rthba+G9kfxH+0KEwCh4JkNaPrmZuUR+SCCVMZ1rs/H6xcyqcbVuOok23WajRMGTaKy6bOZnif/q1+noZobT65rlsOmfcsIHCqHPem/QRKKlF8AUSDLpyaOWZAhK/HOLIvlS9/EuXKCASpfnMpadedpzLoZX8A+/sr4px8tvlhe0l2+3Bv2R+OIo3ZkBD0WozD+mAePygpR1BDdBry3w6cMTb7vLw8li9f3nTBTnTiNMB3qJDaT9cTKK6MO+fddxzH0k0Yh/fGev6EuFQDTRMfbilVfV72tCyvqSFzepN5VA3ON5e843RAEEXyfn8nhT98As/2Q82qo+vehZwHb2j30FBD/27k/fE7nLz/XxE22cag79+NLr+4OaKt2hIIdQsSRYHCU4Xs855CMSZ+WgWFA3v20kfIIUdT9wGvM96Ng3s2SpJmHNk3YsyLgsDAjDzwR435bYf2cc3//ZihvfpSVFlOYbman8CsNzJv7twWPdvZgOzyxjGTGwZ2T1peSjGjzc9ScREEq2pbl9ZxlnaffYcKm3Z2hcLOKGMz5XHOBDo6I7JlyjCyf3gNxb95KW73PRG0uZnk/v6us0ZOqMvPIuOWCwhW2nFv2oe/sBzF60fQacKh/6P6t5l7IRmCNU78R4qQXZ66fF4b+r4FZ4zQsqOjPQjCdAVZqp12784jKBdMQNAmXm57th5Q/a3r2vhO/plCa99NsNqBa81O3FsOxH2HBb0W08h+mCcNSchxlJ+VzX2XX8+9C66lsrYGh8NJfk4X9K2Q5moKbcknFwQhTHzaRJSFJiMljivDf6yYsn+8hXForzBXRnkNnh2Hkd3qiD19/24YBnSj9vONlP79jWg0aAwUXyAsAblxL6ZR/Ui5dGozn74T33ScEWNeURQ2bdrUbA2+TnSiLbAvXhP2hjaysFNCIdxbDuA/XhonZxQoKm/UkAgUVaj+FltoQAgG9SIykcNBfT/1+Zber62QUizk//N+Tv3oifCHL9l7FUVMY/qTcuGks7aTaBzWh6z7rsC5bCue7Ycieeqx0GSlYZ40GNOYAZF2tnQHUtcjF8/2Q1RVVeF0OBmumPja4FCFt9dDUGC434RTcZOiEdALUmS3RWyCRb9e0qYeBTldSKk9QVUMWZDH72PDvl0NqwJw07yLMZlaztTfMdC41Ry3w9AMQy7hdc7S7vPZkMfxnyrHvX4PvsOxBp0V47DeGEf1T+gMORcYkW0XTMB/sgzHFxvjlCrqIeh1mMb0xzp7TJMO2/aAJiMF27zx7XIv35EiXKt34N1/Mm6ciCYDptH9MU8amjRC7JuK9iAIs543huq3lkb+lt1e7IvXhGXNGkRkOVftiFtfWOep06jaC615N87VOyl/7J2E310IG5+udbtxb9pH6hXJZUVFUSQzJQ2jRodOe+acbu2RT5551yV4th5UzeOKP4B7835oEFZfD0GrIev7V2L/aDVl/3w7oSHfEO468kzr7NHfWudcJ6JolTG/cePGhMeDwSClpaUsWrSInTt3cumll7apcZ3oRFNwrtxO+WPvNHthH6y0E3K4EHS6yIfVtXEflQNyWLx+JbuOHMLj92E1mRg3cCjz+4/E34CkyzCwR4vaqM3Lwrc/GmLpO3CSYGWtihCtHmHNYXX4sb5v+2sOSxYjaVfPwjpnLO6Ne/HuOxEONRdAspoxDOkZZv5vhcTb6YYmzUrqZdOwnT8e755jBCvsKMFQxAjX9eiSMNSsJTuQtrnjqFm4kqqq8C55iiJxvieFL8xOLpo8ncE9+rDn+GE+WrWMOW4zKUr44+oO+NDrTBEjvSmm/4aGiSE9hX898ijfu+V2HJ7GwzUvmTwzoepAR4RoNoAkqngXvPuPJ00BCjnc+BvkLGrSbUkXkU2hvXef21seJ1BSScVzH+E/1iAlKBB2JgaKK3Es3Yx50hCsc9Uyf+cKI7K+Vx76uy8lUFwZTq2qqg2Pe6MeXc9cjMP6fOukAhVFoeL5j6h8YXHSMrLbi3Pldtyb9pF+07x2bF3HQFsMOkVW8B8tIlBcieIPIOh1aPMz0XWPfmN03XIwjeqPe0vUcHNv2of/ZBnmCYPR5oV15t2b9uE/UqS6viYrFfOE9lGvSYSWvBvX2l2U/PalZs3BSjBE9f++wjRmANZZo87kIzSJM51Pru2STt5f7qHoZ081iytD0GpIu34OSiBI2WPvtOhevkOnqPjPh2T/4KrWNrcT3xC0ypi/6aabGh0AiqIwYsQIHnrooVY3rBOdaAqyP0DZo/+LOy6lWTEO74NkNeE/UYp319EGYdUCoepaNBkpyLJC0bHjbP7Voywx1eAWo4vXUwePYHCvYoA5g8yUtHBNgx7r7JblJBuH9ca1dlc0vF9RqH5rKek3zkVKscQ8TxD7hyvjNIdTLprUovudTmjqDFnb3LOzW9ASiEY9ptHNz7FryQ6kaNDhSDcSDEQ95uP9Zhb0GEbXbqPRZKYxWU7h/Gw/xfujBIJeRSYkCRHDx3ekiEBRBZ4UIzuPHMDucmDUGxjUvTdZZhvujftUtzcO7UW3IUN4+se/5j8fvcOqHVuRFXV7CzJzuH7OhcyfMLXD5McFiirw7D4aJnNSFESLEX3/7ui65yAIAoJGwjRmAO4NeyJ1nMu3YRya2Eh0fLm5gZqAFuOofrjX74kr2xy0++5zO8rj+E+UUviDx5LuWEduEQrhXLmdYEUN1lnq3Z3YRX2wygEuF6LJgCb9zDMiK7IMstLs3SZtbgYpzcwfbTU6ODFgPSr/8yE1b3/VrLKyx0flSx9jnjoc46Ae58wzng601KCT/UHc63fjWr8nYeSMJjMV0/hBmMeFnZEZd16M5/uHVYZusLQK+6KVjd4n4zuXtCtJYyI0590Eqx2U/OG/8XKrgoAmOw1BEMJM7bGbLIpC6V9fxzi011lL0WmIM/W9NPQtoODJH1L082fD5LlJNpv0vfOxXTABbW4G1a9/HkcqbBjQHfOUYei6ZhOqdeHecgDXqh2qfmVfvIb0m+bFKQ514tuFVhnz3/ve9xIOAkEQSElJYciQIYwYMaKtbetEJxqFa9UOQjXqD6tl2gisc8ZGdt3NEwYTnOOg6r+fEiwLy4SIBh0huxM5FKKwvASP30c/DPyoNod9Wi9VYpDckJY+QQMCUFlrJxgKkWczkzJvHJLFiBJsfs61aNBhnTOG2hhSu0BRBWX/eBvDoB5RnfkEeVS67jntSiz3bUJLdyCPjs5Ds2YLYt13Wa/VYfOEsMewstuAKq0OXyDsuHELMp5UI2YBUCAQDLLhry/wvHycI0R32lNlDXfretFftGKMSU9KuTisENA1uwu/u+N+ymuqWLd7B9XOWnQaLf269mBEn/5hbd4OAO++EziXbcV/Mt6QdK7YjiYnHcu04RiH9yHl4skqYz5U7aDi2UXY5o1H368rgigQKKuOpFDEwjp7dJuiQs6V3edY+E9VhGUJPT4EjYQmIwV9/26IuuhnPOR0c+rBp1Vs703Bu/c4Fc8sIvsB9e5O/aJeURQC1dVY0tLO2OI3WGHHtWEP3p1HIrtZgl6Lvk8B5nGD0PXOO6uOqo5ODAjhsNvqt7+MOy7otWjzs1A8fgLF6pBuJRCk5Pev0OO/v0TQtPMzdhDnQVP9Klhhp/I/ixpNjwtW1FC7ZA3eHYcxTxyMYUA3ch6+iZLfv9LsdljnjsM6Y2Szy7cHkr2b2iVr49YqxqG9sc4dGzEqg9UOHEs34dkWJSpVfAHsH60m/ebzz1yjOwi0OemkXz+HkN2Je/N+AqcqkOu4MrQ56RhH949IFgYra8OO/JjXbZ4yjJQLJkT+1qTbsJ03BsOAblQ8syjqIAiGqP14Hek3tjNXTgcZv50Io1XG/P3333+629GJNuDbKj1R+/E61d+6bjlY546NexeaNCtpV8+i/Mn3IsekNCsVpWV4/NGFiwaBIYHE+el2lxODFKL3ba2Tw8q4+QLcG/epmO2VUAjPzsMqKbhYCJJE1gPXnBFiuW9rn2mIloQVOnJtrEhzcWmVGQGSGtBS3XEFWGiu5orR48g87sLj8XCitIiQLHMzqRRJZookP2myhl5BPQJOTuCkS3omKWYLhmFhychYx1FWajoXT55xBt9I66AoClX//ZSqVz9ttFywtIqad77Gf6KU/H/eh753Pr5DUbUGX3EFh5/6H245SFAEsyxgNZrVhEiSSOrVM9vc5nNBj1eRZdzbDuJasyuhNJJo1GMc1Q/L1OFIVhP2D1aqZC0hzLlhHj8IXa88FG8gPOdsP6TaLbIvWknqlTOSErGdqblC9vqpfvdrPFvjlQkUXwDv7qN4dx8NSxReMzvBFdoPHZ0YsOa9ZeoDgoB1zljMEwZH0g2C5TXYF69WjblgcSWuNTuxTBvRrs94LjhIQrVuTv3sqSZ5burhP1lK0UPPUvDY97HOGIloNlD082cju/kKIMsyoiBExpRoMmCbPwHTyH5n6jFOKxRZxr5YLStqGNCN1GtmqeYJTZqV1CtnoASDeHcdjRy3L15D2nXntVt7zzakFAvWWY1Hc3p3H1H9LRr1WGcn5hfQFWRjGtlXpbDk+HpLuxvzp2v8hlxeZLsTRQ5H8Ekp5s61aStwxtjsO3FmIXt8HXoRWo9Kew1LN6/lRGkJiqKQk57BrFHj6ZrddgmehhJkpnGDkk4C2twMdN1yoqGnGom1ciVdBQWDEja+REEg1WJDr9Xi9nmxu6K7W5VikCXWCsa3cjdQSrWQ/9d7OPWTfzcvj0ojkXrNbIxDerbqfolwrvSZ9kZzQy5zcnLYafLjFmTmV+oRfF4CwSBaTXQaDQSDeHxeasQgi412Dml9XHXhWOQPd3HiyzWEYsLo8kJa8kLxOb0lVRVIRj09f3j1aX7SM4ead5dR9epnzS7vXr+HqucXk/ubOzj5vX8SqHFSVlNFrcupkvvzEo6MMer05KRnoNfqyP7RNeh75LYoOiYZOrIer+wPUPqH/6pkKuPKeHy4Vu/Es+0QaTfMxfHFBtV5bV4mGbdfqBrfhgHdMI0ZQOVLS1RRCbWLV5P53QWn/TmSQfb4KHrw6YSGfEMEiiupeHYRpnED47SY2wsdmRgwWO3A3YBrxTZ3HJZpw1XHNFmppN90PuVPfaBy+tQsWoVl2oh2f8aO7iCpePoDAifL4o5rMlPRZKUQKK2OS4vzHSqk8qWPyfre5ZhG9iPzgavZ/OmXnPp6I9oKB3pFICAo+G1G0icPY/ylF6A3GtrrkdoM//HSSJRjPSwzRyeN1rXOHK0y5kM1DnwNuAK+7Qg2iKTS9+uqirhqCMOQXipjvuHv0V5o7fhVZBnv3uO41+2O6wua7DTM4wdhHNG3Q0XGdXR0GvPnIAKlVXHhobLbh+z2ESipwjisN9qc9LPYwvBO9pPvvcGXW9apDBiAFz/+gPEDh/LAVTeRl9l6GZaGYV7anLRGy2ty0iLGfK3DQY0c5BNLFbO9NgYGjHTPzsVQtwNoM1sw6g2cqCpnq87N14ZaAidcHDhwgP79W6d9quuaQ8ETP6To4f/g3XE4qTyavlce1vPHo8s/fXJF50Kf6QhozJibMmUKer2ew4qPx6x2+gb1zHBLjE7Lx6LR4Qz62VJbwtfmSg5qfCgC6LVapsyayTNbt5Mi+sltEGum12oJBIPIMbukLkHmP9oinjmNv/+ZRL2h1RCSzYy+fzcEScR74GTcorfmveVYZo0i7fd3sPSi+9C5kssLevw+jpQVk3vtXPqfIf6GjmTIK7JM6R/+i3PF9maVl10eKp5diGjQI8aoZ6QsmJrQUafvmYt5/CBca6KqCLWfbSDj7kvb7T2U/v3NcD5pMyF7fBT98jm6v/BzRFP7Ox87cmqG//Cp8LZv3U8n6HWYJgxKWFbQSFimDqPm3WWRY/VKIO39jB3dQeJYukl1TJORQspl0yKkqoqi4Dt0CvsHKwjZowZZ7cdrybhtPrUeNz/891/ZfriODK+hOtuao3Q9tJ4/3/1DCrJyzvATnR405AwQ9LpGpRW1XdIRLcYwgW6Sa3zr0YB7oF79JhkanlfOUhpma8ZvoLSKiqc+SBrtEiyrxv7RahxfbSHt2tl0DHaFjo9OY/4cg+zxJf/QAoRkPDsOI00xn7Xd1qqqKr736O85WVaStMz6vTu555+/41/3P8QwEocTNQXRqEf2RL2CgfIatHmZScsHy2oi//f5vAQEhSoxxDvmaqb1zmP8qKkESqtRAgFEvQ5bfha//uAZytxhI0QCDh8+3GpjHsJ5T2lXziB0/ng8Ww/gP1kW1hzWatBkp2Ic2Q9tduNOiZbiXOgz5wJsNhsXXHABCz9YiCLAAa2PA5yEmqhSAQIQ852dM2YigiDw4bKlhDJ9jK8UGOszk6Mzk5uRhUaSkBWF8poqypy17NC5WW5w4KiR2bp1K6PHjY1rR0eDffHqOOIe27zxmKcMjZA52WQFz9YD1CxaqeqH9g9W8o/qHSzTHGOY0cQ4v5kuDaIVXILMVp2LjXo3yrJ3WFhzB2mZZ5jw7CzD8flGnCvjDXnJZkZbkIXs9MQR3MkuL3KNE133cNSTJjutUYegaVR/lTEfsjuRHZ7WyZW10P73Hjqp0mKGsJFpGj8I49DeCDotvsOncK3ZqVr4hyrs1CxcQfr1c1rextOAjpqaEXI14FrpmoXYiEGg75WvPiDLhJweNGnWdn3Gjuwgqf14rcrhLkgS6bfNV8kcCoKAoW8B0s3nh9P46pyyssdH5cdr+NEHL7LrcGI5snqcLCvhgcf/zNM//tW5YbhIDdLLQiEUWYmT3auHIisogQYbF2chZaIjQzSrIzN8h081+k4bRqVKqZaE5c40Wjp+A6VVFD7weLPSVmSXh6qXP8E0ZkCEWLITydFpzJ9j8B0qbJoMLSTjO1QYCR9tTyiKwkMPP9yoIV+PGqeDnz/7KO9dNQ+jxdxk+YbQ9SnAG5Nv7t6wF9PwPgnLBkqr8B+PtklRoEQbgrpvjCbFgmXq8Lh6+i9M4I7uKAaDrZPCagjJYkx4vzOBjt5ngHOGTOXee+9l/bp1FDoS8xzEIictgzsuuoLt27fj8/lAhBUGJ2sMbl6/8QZM1V5krw9BpyU1M4V/LXmJY1X2SP1169d3eGNeCcnUfrpedcw0dmBceK8gCphG9ydU48Tx1ebI8YrP17G2diNBAbbo3WzRuclGy7Seg7Dojaw/up8DvmpC9b+328l777/Pnd+560w/2lmDoijUvPu16pig15JyyRSMw3pHHCTBOsPWf7S4viKyL4Ds8SEa9U0a5WKClCHF37S+cSK0NH+ydvFadX29lsy7L1VFB2lz0jCN7k/lS0tUoc61i9eQds2sVrXzdKAjpmYIDQwsuQmdatkbHwUTm9Pans/YUR0kDdM/DMN6qQz5WGi7pGPo3w3vvuORY5tfX8TeE/sSlm+Icns1Ty18m79f2c4kZq1Aw80GJRjCt/94Usle36HCqJJP/TWyUvHZm0/S+U2Hvm9XPDFh86GqWjzbD2Ea2TeubMjpiVNxOZvGbnPHryLLFP/6BUIV9sQXEoQ41n8lFKLkNy/S/eVfqEL1Q7VuPLuOEKyy4/d4kVOs6Hvno+t1dolSzyY6jflzDM0NTzpbYUxbt25l69atqmM6jZYpw0ah12pZtWOLSi+7uKqCTz/7jMuuuLzF97JdMEFlzPuPFeP4cjOWWaNUAzpkd1HzP/XiWLQa2RfwQ933ZP3uHdS6XNjMUafC/hNH45wSOTmnJxSuymHnk3UrWb9nJ3aXE6NOz+Cevblo0gx65uY3fYEWoKP3GTg3yJAA0tPTefrfT3HvDbc06rAqyMrhr9/9MenWFHbVqndQC7rk0mXcsLg6Qw4N4NjaqNFSY685be0+UwhW2JFr3SrnimXy0KTlTRMG4/h6S+SjXVNeSZ4gUb9sNhkM/O3Hv6ZHlzwArvP7eOjZf7H1YDQf+IOFH3DHXXee9mfpKPAfL8F/vFT1TlMvm45xaC9VOU1mCuk3X0D5Y+8QqnFEjPxQjRPRqCdQVIkSDCWVeEuUCyxaEhOANgfNzZ8Ubea4XXnL5GEJ03xEvZaUi6dQ8dT7kWPBiho825t2prUHOsrCsWFOaqCwnGC1I6nx6d2lfn+i2YhoSZy33R7P2BEdJKEGxqa+Z16j5XW98iLGvKIoHN99gNit9nRrCnddfAUj+gzg0KmTPL/4PY6XRvOFl2/bSHl5Odm5becTOpPQ5mag798N3/4TkWO1n29E1zMvLoJC9gdwfK7m8dD1yEXbPSdud/nbDF33HHQ9c/EfK44csy9cgez2Yho7AFGnRVEU/EeLsX+4WhWRCpByyZTT0g5FUZBr3YScbgRRRLSZkcxN8zk0Z/y61u3Gd/Ck6piUbsM6a3T42yaK+I8U4fh6i+o9yG4fNQtXknHbfAKlVTi+2hJOz6qLBpRlmaAo4ly+DU1mKuZJQzCN/fbt5Hca8+cQlFCoWYslCA8AJRRqd6Pn/fffV/2dZrHxzE9+TZf0cPh77QIXP3zyLxw6Ff0QfPDBB60y5i3ThlP57CKVDJPjq814dhwKk2dYTAROlODZcTiOLCvnilmE3o6GmLp8Hn729D+4+9Kr6ZPflc379/DUwrdUddLT0xg5sm3SMYqi8PInC3nt88UEQupd/r0njvDu8i+YPnwMD91wJyZD20lxzoU+U4+OToZUj/z8fF742W/5bONqFq36WtWXe+d15dIpMzl/3JQIA7vRqDaQiivLcHu9cb/v4VMNCB2NrZdeay8oXvXvJei0aOrkdhJBMhvQZNgI1nnnPR4PBmP0w3/plJkRQx7AoNPznYuv5J5//i5yrLS0jIqKCjLTvpkcD/4GhEBSug3D4J4oikJRRTnVTjs6jZZuObkYdHrMEwdT+8k6hDrCpHouEdntDe/ujI5PC1IUBeeanapj+r5d2xTO3Nz8SU1mStxi1DgifgeqHrr8TDSZqQQraiLHAkUVneRIMdD3LUA0G6I8MooSlgC7YW7crn2wvAbnavVvb5056qzrm9ejIxjyAIJWvTxu2GcbIpbDx+124/KrUx/++J0fMLB72CGXl5nN4B69ue63P8UXCEdRhGSZL7/6iutuuP50NP+MIvXSqZT+9fXI38Gyaiqe+gDL9BEYBvUAQcC79zjO5VsJlteo6qZcOrXD/MYdBYIgkHrlDMr+/mbkmBIMUfvxWhxLN6Htkk7I7opzMAEYR/dH36txR1NTkH0BPNsO4lq/J04NRd8rD9OEwRgGdm/WHJHst7V/qFZAkNKsZN1zmYr/RN8nvLte/fpnePfFOIs+XouuZy4VT33QKPFtsKIG+4er8B04iWX6CKQGjmwlGMJ74GS4TwaDCAY9uu5d0OZnnvN9stOYP5fQUn2y061n1gzs3KleJFwz6/yIIQ9gM5u59YJL+eXzT0SO7dm7l2AwiNTC2GlRpyXr+1dS8tuXVce9pZXUfFSMrChoRAmjXq8aqNq8TLp+90omF25mxaefR47vPXGEB574c9L7Lbh0ATpd6xeQiqLwt3/8nbc+WdhoueXbN1FWXcWj9/9MlUOnKAr+46W4N+zBfzSsNy0L4MlKwziiL6aRfeNDEs+BPlOPjkyG1BB6nY5LJs/kkskzqXW5cHndmA0mVWRHPYYMHoIoish1z+ULBHhq4Vv86OqbI/J2n65fxd4TanmaYcOS73B3GGjUnxDFH4iE2SWCEgwRckQjc2RFJhAz7Lvl5MbV6dElPlLF4/HA6aWW6DBo6NDSdM3mg1VfsnDlV6qdPINWx5yxk7hq0Di0hI0P0ahHjnGw2JesQdBrMQzuGZkDZV+A2k/XxTkNUi6e3KZ2Nzd/siHZE8TnjMadtxggRiJdCQThm27Mt+BzKOq0WOeNw/7Bisgx3/4TVDyzEMvU4WFZwjruFOfqHSgNwvBTLmnbb/9NhCY3A2LC5j07DmOZEh9RBeG8cO/O6Pwd8AewS9Ex0D0nL2LI1yMjJZVxA4exckc07aikpOn0xI4Ay6xRVL3xhSq6J1hpp+b95fD+8qT1NF3Ssc3t2KljZwvWOWPx7DiM4zN1JIPiD8Txo9RDSrGQ85Pr2nRfz87DlP3zLRVBYSx8R4rwHSkKy4Pe0Lo0ENntxb1JnXJinTkq4TpBEAWs88arjPlAcQXFv3qu2Qo23n3HKf3Tq+T+9g4gzCniWrUD9+b9yK7459TmZmKeOBjjOSIPmQidxnwnTis8HvVA6d4l3mOYaHHu9XoxG1oe4mmdOYpghZ3SP7+G2+elqtaOy6tugySKpJitpNtS0KWnkPenu5FsJn7yox+xbcUaat1N5271yi3glptvbnH7YvHVV1/xzjvvNqvs3hNHePbDd/jVheHwKf+xEiqeXhinNa3IMoFT5QROleP4fAOWGSOxTB/RpnaeLXRkMqTGYDObExrx9cjOzmbKlCmsWB5daH+0Zhmb9u1iZN+BHCkuZN+Jo6o6GbZUpk2ddsbafLqgybCFCZFiCPDcW/YnXfR6dx9VGRKSpKFCE4K6Qxv27mL+BPVzr90dTwSXlhZvySvBECGnB4IhBKO+WeGBHRGxO6nBYJBlq1fwlHIsrpw34OejNcs4sHIDP9L1xWYyI6VaUEqi+amKL0D1m0vRZKag65mH4vXjPXAizpgTbSass0a1ue3NyZ8MJVg0+o8VYxjQPeE1ZV+AQJGaMEmymc6q47E90NLUo7RrZuP4fKNqUR4oqqD67S8brWueOhx9n4I2t/ebBuvs0ap0kMCpclwb9ibMT3au3E6wMiYXWBDYaYqOQ5/flzD82OtX/7ZiB4mOaAqiTkveH79D4X3/apbULoS/73m/uwvRqD8tsqLfNAiCQM5Pr0OQRKrfanzMQp3M5C0XoMlsKJHQfLi3HqDowWeSGvKxCBRXUvmfD7FMG95ipaVgVW0cSa5hcHLZZW12GpqsVILlNSiyQqC4Ck1GisrBKWg16PsWENSIUFQZifarh2v1ThxLN6HrkUvFk+812k8DxRXUvL8c756jWKYNR2pDutnZwhkx5svLy/nnP/+JIAj88Y9/PBO36EQHRVpaGlWV0TCdTft2M2nICFWZjft2qf7W6bSYTKaEOzbNQepl0/h88RIcn20kS47v0iFZpsJRw2bsnPed70QY7wsKCnj0vp/x0LOPUm5PrtM5oFtP/vSdB8JtbANeffXVuGNzx0xidP9BHCs5xaJVX+P2RUPzlqxdwQ9qa9GX2Dn1s6eaZABVAkEcX2wkVFWLdfZoBM49xtiOSobUVtx5552sWrmS2CVMcVUFxetXJix/49yL0Gg6vq9VNOiwTBmGc8W2yDHHV1vQ985Hm6tmnA9WO+LI8qT+BVSXRtMLvt66gcE9erNg6mw0ksT2w/t5auGbqjpDhw7FarVGFoT+wnLcG/aE02kC0dQVTXYa5nEDMY7s1+EcQI1BSrcB4d2+kydPku72YbKJuMXEESsDvTqKHeVIoog1KwNtfryiR7DCHrfYiUAQyPnJdYim0+P8aCp/UrIY0fcpUOXMOlfuQN+vW0L2Zvf6PWpiPkHAMKS3ii/lm4qWpB5ps9PI/e0dFD34TLOvr83PIucn17alid9YmCcMRpOdRrA0ujawL1qJ/8gpTGMGoslKJVBahXv9HhXxHYSlH08c2x35u6S6klU7tzB12OjIsSNFhWzeryYy69Gjx5l5mDMAXUE2+Y99n5P3/CMuNLshNFmppN0wF12Pjs0HcLYhSBLZP7wGwaDHtXYXvgMn40jhNJkpmMYNwjR2YKNa9E0hWFVL8f+9qPpmNoVQrYvi/3uBbs/+tGXpmEqCtX0Tjqv668tOd923Pqq9aRzRl5QLJyEYdbhcLkwmE759J6h5bxlKDLln1aufEap1N9vh5N13gpLfvUzeH79z1tJNW4szslp0OBx88MEHncb8txCTJk3i8KHoImvhqi/p361HRKJrw96dvPjxB6o648ePRxRFFLl13trPv/icP69dAlboEdIx3G8iI6RBA3gEhRMaH1t0bhyizOevPMlb187DlpYKQJ+Cbrz88B9YsnY5H65eRmF5NJxpUPdeXDplFueNmYBGattQOXLkCLt2qZ0YP77mFi6ZPDPy99yxk7njL79GVsKLdn8wwJfvfciIj/cjN5AeagzuzfupfuMLMm6d36Y2ny10RDKktmLQoEH86pe/5JGfPRz5fZPhsqmzuWzq7HZqgcOfLQABAABJREFUWduRcslklTGv+PyUP/UBppF9wwzHkohv/wncm/fHLRwGfvcqdH/aTOy+wJMfvMmLH3+AyWCgIgEJ4JV1/Bqy10/1W1/iSWLUBcuqsS9eg+PLzaReMR3rea2TwGxvGAb3xLlqB9Vl5Xi9XjQIzPek8J6pGkUAraSJ8G30COoYHgg7GcuqK7FmZZB572X4jxRhX7ym6ZtJIqmXT8c8ccgZeZZkYzfl4smUPfp25G//sWJq3v0a2/yJkV0RJRjCvXEvtV9sVNU1TxiMNicNrzqj6xuJlqYemUb2I+9v93LqR0+ouGQSwTC4J6lXzDhtTpxvGgRRJOP2Cyn902uq456dR/DsPJKkVhg9H7iObo8e4MTxaKjwb156mgVTZzGy70AOFh7n3WWfq74FRp2eWTNnJrpch4UuP4us+y7Hu+8E7vW78R0uihpugoCuZy7mCYMxDOiu5m5orXrNOaJ601YY+hZg6FtAsNpB4GRZWPVGo0GTmYK2IDupZF1LUPPBCmSnW3VM170Llpmj0PfOB1nGs+sIji83E6qKKjr5DxfhWrenUaLbhpBS4nmOfAdOYBzSK0HpMGl1oM5BFLLXGeIaCUIy2vwsUq+YgSAKKHV9TRAEjIN6QGAK1f/7KnId19rdCTl8tPlZSClmAoXlcYa+e8Ne7AtXkXrF9GY/X0fAGTHms7Oz+dOf/nQmLt2JDo4rrriC116NfvxCsswfX3uOJ95/A51GS2VtTVydq664stX3CwaD/Ouxx8J/CHBM4+eYxo9BqyMjJZVTFWrG5uKqCt586y3uvue7kWMWo4lrZl3A1TPPp8bpwOv3YTWZsZxGArIjR9Uff6vJzIUNwol75RUwcfAwVu/aFn2+JesJ1aqHqZRqwTx+MNruObgqqmHfyTC7Zwyq31hK6mXTEM3nXrhQLL4Jhnw9LrrwIsxHK3hq4dscLjoZdz4zJZUb517MgimzzqnnNgztjWXqcJwrYsLhZRn35v24NyfXWDYM6kHOhVO4u/Ju/vWnv6jOuX1eVZRKPYb06MO8ufOQfQGKfv5MUkM+FrLHR9XrX2AY3BPb3HHNf7AzAEVRCBRV1C3Q/Ag6Ddrs9LCkTt0CTbIYMU8bzqHn3onUGxIwku830evCGQyePI7K4hLWvbME29GKyHrVHwzi8nrodcmUcA66RsK1ehfB8gRRR4KAoX83LDNHoStoWcjk6YB19mgqX1yiMjg92w/h2XUEfc9cBL0O/7GShPmNqVfMaMeWnl20JvXIOLgn2T+8Bu+eY7jW7w4rI9QvevVajMN6Yx43KBKhds6hHQ0629xx+I+WUPGfRc2uk3HHRVinDuf60uv585+iHDyBUJB3ln3OO8s+T1hv/oRpWCxnRy+8LRBEEeOgHhgH9QhLYzrdoISVMZJFRLVWveZcUb05XdCkWZMqUrQFSiBI7RK1PKi+X1fSbzo/6igQJUwj+mLo143yp95XqR3ZF61smTFvM2EY1BPvnmg6oXPZ1rCTJ4HaiuOrzaAoYXZ9rw9BFMJ8ME4P5slDkzozDEN7I326nlCtC9nrD/NKeXwRR5K2azapl01HmxNO01NkBe/uI9gXrVIRXFa/t4yUy6Z2GFLQ5uCMGPMWi4XLLrvsTFy6Ex0cBQUFXHvNNbz23Auq4w534jCXiYOGM2HChPAfrfhIr1i+gvLyCtXhG867kJvPvwSDTs/R4lP89uWnOVIcDemsl7ZqSLgnCAJpVlsLG9E8NNSntxiMSAk+NDZz9GOuUwSyDldBVnbkmL5XHmk3nY+o04QNgwwL5lED8O07TtVr0UWCEghS+8l6Uq+ccfofphOtxpgBQ3jhwcHsOnqIDXvDsoQmvZ7BPfswcfDwNkeAnA0IgkDOQzcSrHbgWt287VJNTjq5v7kDQZK46cYbKVm/g7e++qTROgO69eQP3/kBkiRR9s+38e462mh5FRSF0r+9ib5X3lnJD1bqnBuudbsJFFXEnZdSrZjGDcQ8YTCiXotr6gDcT/nQxsxRwyw5mNYfpXx9+LnHYeGoxo4/GA1B35uvZ2RaOAXBPHYgpjED8B8txnf4FLLLiyCJSKkWDEN7o0k9e4aDaDKQ8/ObKPp5g5DwkIzv0Kmk9VIun45pVL9vVc5ta1KPBI2EcVhvjMN6owSC4YWqKCKaDKdlV+9sor0NuvTb5+M/VYbjsw2N9jtBryXlwkmkXRuOqrr88stZv24dSz9c0uQ9+nftwZ0XXdGmdnYEiHotor55OdytVa85V1RvOjI8O48QqlFLEdvOn5BwbhBNeqwzR4XJDevg3rSPkNPTotzylEunqIz5QHEllS8uxnb+BLRdsxEEgWBVLc6vt+DeciBcSFHCjqEUc8Sw1nVLLg8tiALartmEdh+NMv/LMkgiosVIxq3zVQ4mQRQwDu2NoNNS9d9PI8eDJZW4N+7DPH5Qs5/vbOPcWzl2osPjgR/8gLKte/l8U+NhniP6DODXt94T2YVszUd6zRr1PQZ268V3Lrkq8nfP3Hx+fuOd3PW3RyLHKioqOXToEP37JJdDahItXA811Kcvrqpg19GDDOkZbYPb62XVzq2RvwcEDOgNsaFpAimXT0+YJ2UY2CO6g1OH2s86jfmOCEEQGNqrL0N7taH/dTCIRj15f/4up37yb9wb98WR3UQgCBiH9iLlkilIdcakIAjcs+Aahvfpz1tffsL2w+rd/C5pGSyYOpvLp52HXqcjUFJJ7Wfq3HtBr8UydTjGEX2RrCb8x4pxrtyh1jIOhqh64wtyf33baX32piC7vRQ/8iKOLzcnLROqceD4fAOeLQdIv/UCqrqbeTfDxVWVFiRAFMSEUpVWk4nK2nAu/B6th/KuWmKFrQRBCDsw2ihddCZgHjeQLr++jaKfPdUs49w8YTCZd1/SDi3reGhL6pGg1SBpv1lLvfY06ARBwDJpKKYRfTm1bCNFyzaiVDkIyTKSKCJkpdBt9gRypoxSGQqiKPKH3/0eU6WbD1d/nfT6EwcN5xc3f+e0SNGeS2ites25pHrTUREr8wnhPPz63epEMAzpFadSEKq0t8iYt0wfQeVLHxOM4X7yHy+l4tlFSDYzgk4Tz+siCCCgik6Qa13QyLiuD5uPSEXWzZXm8YOSRoro+3VFk5Ou4n7wbDv47TLmS0tL2bdvHw6HA6vVyoABA+IMl058uyCKIg/fdBfjBw3lf19/xv6Tx1TnCzJzuGzaeVw6ZSbaBiRfLf1IV1erQ0jHDBgcV7Zf1x5YTWZVdEDDei1FSx0Pw0cOJSsri/KyKBv9Iy8+xb2XXcvYAUM4UlTIfz56V9XGzJAGmzU6ael65jYacmUc1V9lzAcKyyM5Re2Gb0lOWyfiIeq0pF4yBevMUbg37cO7+xghhwtkBdFqwtC/G6ZxA5P24UlDRjBpyAiKKso4WnyKYChEVmoaA7r1VLE82xevURHqCBqJzO9cirZLVHde36cAXe987ItWhp0LdXCuCLNOazJazwDcEiiBIEW/eh5P/U5DEwhW1FD5wmK0P7+cg4YAr2U4WFBuIEUhYjzEIhAMoQDr9E4+N9QyV39uEURaJg8l874rcC7fhnfn4YRGva5HLpYpw9AP6HZOhT2eKZxLKThnCu1t0PkDAR5b9CZL1q5AQUEyhiPn/IJCyAXiRzu4ovY87rn0GlU9rVbLj6+5hatnzmPRqq/YtH83DrcLo97AsF79uGTyTAZ0T87q/U1Ga9VrzlXVmw6FhmTTTUSvqPgO6tDStaWo05L7mzso/MFj0CBPPRlBnVCXDla/Qw9hBn5d98REioHymqhcYl3fEHQakBV0PZM7tAVBQN8zV2XMR3L1zxG02pg/cuQIv/vd71i3bl3cuYkTJ/LLX/6SXr0Skxt04hsOITw4zhszkdmjJ3CspIgTpcXIikxuehb9unZXS7DErE1a+pE2GtWewWMlRXHFK+01cWH+bWWmh5Y5HiRJ4sorr+Tpp56OHC+3V/Obl59OWq9nVi76mMW5ZG28zZJNLY+mhELJd0jPEL5tOW2diIdkNWGdOQrrzNZJneVlZpOXmZ30vHP5NtXfprEDVYZ8PQRBwDZ3PJ5th6LEe7KMc+UOUhdMbVXbWorqt7/CszXekJdsZjS5GYSqagmW16jOhaodpH+6A41Gwwl9kMdtpQwIGLhGyqKvYI2MaZ9Bw8dyKRtsDmrrmO4H9B9wxp/pdEOblUralTOQ50/Au/c4oRoniiwjmgzo+xQ0umPUiQ6As+DAbU+DLhgM8svnH2f93mgKUUgIk+vWQ1Zk3ln2OeU11fx9zlikBkoyXbO7cN/l19MJNWJTSIJVDnC5EE0GNOmNq9d8U1Vv2gsNI1aCZdUEa5xJU6+8+0/EHWtNLr+hbwH5f7uXk/f+o0k5PEGSSFkwFU1OGtWvR1NI3Zv2YxzSKy5dTvYFsH+wIuYCAoIkIJqNyA53dKc+CRqeF9qgFHA20KrWHj58mOuvvx673U7fvn0ZPXo0mZmZVFRUsGXLFtasWcN1113HG2+8Qe/evU93mzvRwRFr0AmCQM/cfHrmxmvLQ7xB19KP9NChQ/n0k2iuy8odm9m8fw+j+4fDY0KhEE8tfEt1Cb1eR9++bQ9xbqnj4YYbbuCrpV+yZ/PW5OXrYDEYmTZhIuyNOifqd9qT7cwETpaq/haNZ8dY7sxpO83oZP6NQFEUgmXqqBpDEkZcCM8v+t75KumohvXPFJRAkJrYxQXhXPGUS6dgGNQzwsYbOFlGzQcrVO0KbD7AheOmsGj1MkIC7NZ5+XXtdoZ0782kAcMoqq7g8y1r8Rui+fKSKHLh/HNTwQLC78Y0uv/ZbkYnWoiz5cBtL4Puv6++qjLkG8OybRt59733uOa6Trm/5qI+hURRFALV1VjS0poVffJNVL1pLxiH9goTytWTvikKzq82k3p5PIO7EgzFOdD1/bshpbSOc8XQvxvZP7ga96a9uDbsVRHrAQgGHaZR/cLSkBkpGIf3ofrNpdF1tqJQ+dLHGIf1xjCsN0FBwVlyEPf6PaodfkGrCc83df3Cs+MQxiTa9rLXH+ew0HbJSFi2o6JVxvzf/vY3HA4Hf/7zn1mwYEHc+YULF/Lwww/z97//naefTr7z2Im2QVEUFH8QQRITMkKeTbTFoGvJR/qCCy7g8ccew+2IDuIf/fuvjOk/mLzMbDbs2UFJtVqffd68eZhMpjaTKLXU8WAwGHji8cf5/g23svtYchbuNIuNP9/9Q3JlAzUxxnyw0o5v3wkMA7vH1VFkGecatfSdYejZcaR15rSdXnQy/8ZAIRwiGLNuE5rIB254XmmsX55GuNbsIlRdqzqWdv0c9D1zo20TBHTdcsi4/ULKHn0bxVdnnCtwWWY/PhKXEztL7Tp+mF3HE88d54+bQmbmuclQrigKWw/u45N1KzlWEk6xyE5LZ8aIscwaNR69rjNktiPjbDlwz7RB5/f7eft/b6uOaSUNF02azsDuvdhx+AAfr1upkph7/Y3Xueqaq9XRh51oFlr7+3Ua8i2DaDJgnTcO+8KVkWPuzftRZAXrrFFo0sNE0P7Ccmo/WUfgVLmqflsj20STHsu0EZinDCdQWBYOaZdlRIsRbdccFS+UJiuVtKtmUv3Wl6preHYcxrPjMLIsJxxrmi7pqjWNd9dRvAdOYuinXncqskLtx2uj314AUcQyc2SbnrG90SpjfuPGjcyZMyehIQ+wYMECvvrqK1avXt2WtnUiAZSQjHffcdzr9+A7VhwxmCSbGeOIvo3mpLYn2mrQNfcjbbPZuObqa3jpKTUr8qb9u2H/7rjyOo2Wm2+8qZlP0TRaujuQlpbGEz94mC83r2fRqq/YdexQ5FxeRhaXTJ7JhROnYzObURQFbddsAoVReb2a95eTetVM9H2jIUay20vtR6tV+T4Q1nI+G+jMaTv96GT+DUMQBUSbGTnGeec/fApdfmIjVgnJ+I4Wq4611/zobhBer+uWozLkYyFZTZhG9ce1NuqQsxXZ+dlPf8YffvnrJu81qHsv7r/i3AzjLSwv5bcvPx3HrXKkuJB1e3bw9KK3+cm1tzFt+Oiz08BONImO4MA9Ewbd6tWrqapSR/L87d6fMLJvOJ1l3rjJTBg8jF8+/0TkfFFRMVu2bGHMmDGnvT1N4hsYjdWJM4PUy6dTu3htNAUN8Gw9gGfrATSZKSiBUJQRPgaa7FQsM1qXQtcQgig0yk5fj4y7LiZQXIn9o+bZlKJRT/6/vk/xr55H8fojx6v++ymmUf0wjuqHlGIhcLIM15pd+BtEtZonDEabE5+615HRKmNeEAR69OjRaJmePXvGMY13om3w7D5K2aNvx4WlQJhAwrliG86V2zGPH4Rt/sToyXM8p62pj/Q93/0uB1euVzHBJ4JGlPjlzXfTvXv8znZb0NLdAUmSmDtuEnPHTcLpcVPrcmLQ60mz2FR1BUEg9bJplD/xbuSY7PZS9conaHLS0XXLwVdTi+NoSVyUgSY3A/PEwfFEJ+2Ezpy204tzjflXlmW2HtxHYXkJsqKQl5HFyL4D0Wm1bb62aewAnF9FmeFda3dhGjcw4Vzi3rQvrHscW39M+4RyNyTQ0TXBKK/rlacy5kN2F1dcfjnawyU8/u7rVDnscXVEQWTu2In84MqbMOoTs2G7vV42H9hNeU01GkmiV14Bg3v06RC7WSdPnuS+R/9AtbM2aRm7y8mvX3iSh2+8iyvOOwsGUieaxDfVgXv4sDoKZmC3XhFDvh5Tho6iICuHwvJSVb2zYcx/I6OxOnFGoCvIJvun11H6x1fjzsWxytdB0Gnp8n+3I+rb/h1vCQRRJOfhmwg53LhW7Wg0qlabn0XqVTMxjehL2nXnUfXSx9GTioJ7837cm/cnrY9GIv2WC05j69sHrTLmR4wYwa5duxots3PnTkaNOj3em06EF6VFD/8noSGvgqLgWrebYFUt1tmjETTSNz6nTaPR8Nvb7+OVzz7kvWWf4/TGE2v0ye/G96+4geF9zuxCvqULZIvRhMWYnNjONn8CrrW7VIzcAMHSKoKlVQlDjASNRM5Pr0cQRRS5lakEp8EB1JnTdvpwrjD/BkNB3lv+Be8tX0ppg/SWNIuNS6bM5Prz5mPQtX7sp1w8WWXMh2pdVD6/mJRLJkf0amVfAPf6PdQu3aiqaxjUs/U68y3svg1Tn2J3CBJB8ajn5/r6M0eOY8rQUazYvpm1u7dRVWvHoNPRt6AHF06cSnZa4tw+u8vJK58s4pP1K3H71OQ+3XPyuHb2+VwwfupZG5eKovCLX/6yUUM+UhaFv775IhNuuYKC7t3aoXWdaClaS2bWkREMBlV/28zmuDKCIJBitqiM+VCobSl8bcE3LRqrE2cOtjljUUIyJb9+IUyY3AhEi5H0G+fFham3FwRRxDZnLJbJQ3Fv3o9n+yGCVbXgDyBazeh75WEePyiyBgBIv3Eu/hOlamK8Rm8ikPPgDRj6tnKNcBbRKmP+wQcf5LrrruOJJ57grrvuwhCjj+n1enn22WfZuXMnb7zxRqsbtmPHDp544gm2bdtGIBCgT58+3HLLLVx88cXNqr9p0yaWLl3Khg0bOHXqFG63m/z8fGbPns3dd9+NzWZrddvaG4GiCor/7wVVOExT8B04ScWzi8j+QVhz/Zua01YPSZK4ff5lXDf7ApZt3cj+k8fw+f2k21KYOGR4h9mJaikESSL3kdv5f/buOz6Kam8D+LMtZbPpIdRESggt9ISOINIEpAsIClIUpSgoKiqWV1CvqNcCFpQrWADpHQQBQVroSAsdkkCAkITUTbJt3j9CNpls2m422/J8Px/vZWfOzJzsnp2d36kJ7y5G5t6yJ86TKOTwf7onPJtXbCUJa1cAOeN772gsrRwz+yHbwoqc3NxczF70FY5dLL6i90FmOn75cyOOXDiDz16aBUvvNB5N68KjaT3knL9h3Ka9k5S3Xq2/N2QqJbR3k4u9X/qP7GHhVc3/Tihqibv+Z5+7AZ8nOpQ4v0n2WXErYOFufgq5HI+3bY/H27YvV14TEhLw4uf/h4Tk+8Xuj72XgE+X/4wz1y7jjacnlOuc1nbixAnEXBRXUlb3D8SgLo/BW+mFXcej8e+1ghYUrV6HVatX49VZr9k6qxVThbo+WzqZmaMKDhavqnHqykUkp6Ui0NfPuO3W/XuIib1R/HF2+OwdYcgDOQ+fnpHQJ6cjK/o81CcvmVQ6y/xUUEY1gVe7JpAqi+/9ZUtSpQdUXVtC1bUlBEFAVlYWvLy8ir3PSKRSVH9jNPQPMpC57zQEwYCs7GzkaHJhMAiQyWTw8vCEh5sbpCol/IZ1g3d35xorn69cwfxbb71lsq1x48b47rvv8Pvvv6Np06YICAhASkoKLly4gPT0dERGRmLJkiX4+OOPzc7UkSNHMHHiRCgUCvTv3x/e3t7YuXMnZs2ahdu3b+PFF18s8xyvvPIKHjx4gLZt22LQoEGQSCQ4evQoFi9ejJ07d+KPP/5AYKBzzFaYsvyvglknH1LUCIRX5+Zwq1sDhsxsZP97FVlHY0RLkaVtOoCA0b0gr+bnEDd4W/yoe7p74IkOXfFEB9ssPWULUqUHan30Au5+9CuyDp8rvneGTArPpvWg6tEGimDrLOXEGn7HY2nlmDkP2ZZW5Mz7+KMSA/nCLsbdwPs/L8SPT3Y1WcKpPCQSCWq8MxbxU74wWZ9W/yCjxN5LvgO7wKtLC7OvV5g53wnvHm3wYMVfxm2GTDUydp+Ad+8ok/c++/wN5F65JdqmetyyMeK5ubmY8erMEgP5wrYfOYAgX3/M7N3OomtVxKZNm0Svq/sHYslb8+Dlkbfc6JOduuOT3xdjx7GCcZJbtm7BjFdnOlW8W1W7PjtzEJ+ve/fumP/pp8ZJKDU6Ld744b94adAINK0bhn+vXsS3G/4QTYCnVHqiU6dOAOzz2bvqkAeqPPJAH/j27wjvXlHQxt2DPisbEqkEMl8VFHWCIZE673dZIpXCu2ck9uju4/L2vWiYDvgZ8kJfAcDJzHu4H+KDvsNHoIYTV3CVK5hfv359ifvS0tJw+PBhk+3Hjh3D8ePHzQ7mdTod5syZA4lEgmXLlqFp07wlxqZOnYpRo0ZhwYIF6Nu3b5lj9seNG4fBgweLalYFQcD//d//YcWKFVi4cCHef/99s/JmD/oMNTJ2HRdt82jyCPxH94Ikv3t1gA/cQqvDs0UDJC3eUhDQGwSkbTmIwPH9eYN3chK5DKrOzeHVMQK5V29Bc+MODNk50Bj0UNYIgmfzBmWuQ28uR6gAopJV5sy/5lbkXL58GX/+ucNkf0hwDShkcly/Iw5UT16JweHDh9Gl26PlzLWYomYgan8xDXEvzC976BEAr07NETR1SIUDDHO+E1IPN3hE1EfOuevGXZn/nIb2bjK8OkZAUSsI+pR0qI9fhPqkeLI8qbcS3o9ZNkxt48aNuHHjpmibBBKEhzyC1MwMk+EPK3Ztw7iU1xEYXM2i61nq6tWroteDujxmDOSBvHL6dM9+omA+PT0DSUlJqBbgHBXx+Vgx6pwCAgLQs2dPbF29zrjt6u04vPbd5yUe079/fyiVBb/F9vjsOWcNWULqJod7WPHLSDsrQRDw2Yol2Br9sKu9DyATAIUgQa5EgCABkJqE7d9+hg8mTEE/J52XpVzB/O7du8tOZCXR0dGIi4vD0KFDjYE8AKhUKkyZMgUzZ87EunXr8Oqrr5Z6nhdeeMFkm0QiwZQpU7BixQocO3asmKMcT9bBsxA04iUTfAd2KQjkC3F7pAaUbRtBfSzGuC39r+MIHN8fgAU3+CrUPdBZSKQSeISHwCM8pMwuRoXp09VQn7iI3Ku3YMjKAaRSyPxU8GzeAJ7N6xfb9dcpKoCcqYw6UV7NrchZs2aNaJeHwg3zJr2MqCYRAICY2OuYvehLpGYWBN6r1661OJgH8maHrzZtGNRHLxS7Xi0kEng0DoVXp+Zwr1+r2Humucz9TgSO74fbs74FhIKJKHMvxyP3cnyp1/F/uiekHm4WLZ9Z9LMICa6Bj59/BaHVa0IQBOw6fhgf/fYTBOTlSWfQY+OmTZgwaaLZ16qIouOKfZSm6xb7qky3FR3H7AxYMeq8pk+dhiM79yApLbXMtLUCq2Hy8+JnT3t99pyzhlyZVqfD7aREpKWnI6RGDQT4+BWb7vdlywoC+Yf0EkAvEU8OrTPo8eHSH9B4cC80CG9YWdmuNOUK5mvXtl1NzdGjRwEAXbp0MdnXuXNnURpLyOV5f7LMSbqyae8kiV6716sJmY/pJCz5PFuGiYJ53b0UCAaD8UHWnBu803QPdKIgydb0GWo8WPM3sv+9JhqCAeSVjdxLcUjfdhiq7q3h1SnC5HhHr+F3mjIK58qruUFr0XvyiB59jYE8ADR5pD4m9BuC/6761bjt2LGjEISKrbYg9XAzrlerib0LfUo6BJ0eUk93uD1SAzLfku+VljLnO6FsHY5q04fj/tery31+ZdtG8Bve3aK8paSk4Pr166JtLw8bg9DqeUviSSQS9IrqhKMx57DzeMFqM8eOH7d5MF+9enVcu1owT8CuE9EY0Kmb6Ddp1zFxrz+ZTOo0w+MKc4qKUSpWcHAw/jvtDbz5/X9xJyWpxHSPVK+FT1+cCV9fX9F2R/jsGciTq4hPvIs1e3di57FDUOfkGCeBjqgXhiGPPo4ebdobJ4XOzc3F0l+WmpyjcWg9hAbXxInLF5CcnmrcrtFp8ctvv+LDuXNt9NdYj0UT4FWmmzdvAkCxy4f5+vrC398fsbGxFp9/7dq1AAoqBkpS0YdMc+Vfr+h1DRodHjagQAAgUbqXmjeJsuBBUgAgMQh5rTuK4m/mZf2dUj8V9Fk5pabJT2fr96zg4lJIPN1hUJcjn0oPQCqFIAjG/8pLEARRC5slLL1mcceVVGbyt+mSUnF71rfIOXvdZH9hBnUO0rcdhvZeClQ92kAqKzI7/sPuwvnnLfxgYLfPvBBbl1EBZn6GKCg39v4+lVZmipIH+8Orc/OHQWsmDOocSJUekPmrjEFr/nnS09MBCMZ7VYv64SbXaFE/3LgfADQaDXJzc+Emk1f8OyEB3OrWAOrWKPbvLXycNZjznfAd1AUSpTvu/t+S0me0l0qg6tYaqofd6y25R6WmpubnwvhetwprbHKO5g0aYuexgmA+LS21xOuYU2bM8fjjj+PQwYPGfJ6+chH/WfY/PN2zH3yVXvjr+GEs3rJWVGa6du0KN7e8Hgu2vndXlDnfp4qwx+9aseeEY/w+VJQgCAgNron/vTkXfx45gI0H9yD27h3j/rDaIRjYpQf6tusMN4Wi2PfTVp+9rVmzrDlimanI32fNZ73yXtMSznI9QRDw17FD+HT5z9AW0zvr3I2rOHfjKrZH78eHE6dDJQjYtWtX3rNJocu999yL6NEmbyJZrU6H/yxbjN0njhj379q1C6/NmuVQk6SXpzKuQsH85s2bsX79esTExCAjIwMqlQpNmzbFkCFDyj3rfFGZmZkAAG/v4scPqVQq3L1716Jzx8TE4Ntvv0VgYCAmTZpUatq0tDS73FTS0sTrO+bKJdDld0cUBGRfT4AiI7PECSlyY27A8LAFVtDpIFW6Iy0r0+L8GKp5I/dafJldxDyCvZFrfJC0PY1cgD4rq8x0Mh936B7mU9DpkVOOY/LpU1NLnIm6vCy9ZmnHqdVqk226xCQ8mPM/aK/dhmAo5bMrJOtYDG7/sB7eY3uXO3+OwB5lNMegM1lKrDgST3cYMgq6fzvK96nofaZUIYFASCAEQYBBIoEOQG5uNpBbsASkm5sbdHq9saydvXYZTULqik5z5uol470JAGQSCdRqNdR6g9W/E6UdZw9C6/pQTRkEzdnryD11BYbEVOM+ibcS7q3C4NYqDFIfJdTZahgs/Bt1Ol/o9XmBbv5ncerSBTSr20CU7ty1K6LPQqFQFKoIKJ5ZZaYc2rVrB6WXF9JSC36fth3+B9sOl7yMUN8+fZGamupUn72JcnyfKsKR3htrlxl7KPx+9onsiD6RHZGWlYmsnGx4eyrhrczr/aPVaKDVaEp/Pyv5s7e1yihrjlRmKvL3VcazXlnXtET+9TLUWdh1Ihr7/j2BxNRkyKQy1KlWHb0iO6JLRGu4KRRWvV555V/v0IEDmPvLD8XWIxT+LTsacw5vLfoSn3dqiujoaNFzScsG4WjfKAJZha4/oe9g7D4eDcPDE6uzs3Hs2DG0bWvZBLSVwd+/7EmtLQrmDQYDZsyYgb/++guCIMDDwwPBwcFISUnBoUOHcPjwYezcuRNff/21yRrY9hIfH4/JkydDr9fjv//9LwICAkpNX7SrVGUTBAFpaWnw9fUV1cJ4dGqJ7N935aUBYEjPgvRqApStw03PodMj6+RV43sulcvhFdkEfn5+FcqbtqMcOWevFzt+UyKXwaN5fdEySvZgaN0EWeqzpY4xlchl8GrT1NidTdDpkVHMurEl8fbzs0owb8k1iztOEASo1WoolUqTmjvD4YsQbt6DTC6H4WF5kMhl8GjRAO5htSHkapF99jo01xNEx+VuPIQaI3pCUcO+n6e5bF1Gs0NqQHu75C6X+RS1g+BZ5Ptnz+9TSfeZioqMjMSf27dD/7Csrdu/G4+1aYe6NfOGaN1NScLyPdtFvwdt27SBv7+/Vb8T5TnOHgSdHrIAP6BbG6BbGwhaHQy5WkgUckjc5CafhaV/Y/WwMISEhCDh9m3jZ/Hznxvw6Yuvwtcrb/z56auXsPvkEdFn0a5duxJ/JyqrzADAe3PexetTXy5X2r7tu6DHY4/lvS96Mz97fz+XmSW+LI7wvajMMmNrxb2fXqW8v/a8z9iaNcuaI5aZivx9zvK7Juj0WHvhX3y56jdk54p7DaZkpOPM9Sv47a8teP+5l9CsXphVrmfu36eHgIXffQeJRIqiRSO/m31h/167jOgjR2AwGCCXyYy/hY0eqW/y3fXy8kL1gEDce5ACIG8ItlQqrXDcZGsWBfO//fYbdu7ciaioKMyaNQstW7Y07jtz5gw+//xz7Nq1C7/99hvGjRtn1rlVDye8ySjUmlVYZmZmia32Jbl9+zbGjRuHlJQULFiwAB06dCjzGHvdTCQSiejank0egXvjUOReikP+fA3pmw5CIgCerRpC8rBLtC4lHWkb90OfXFCrKQHgN7BLhf8WtxqBkPuqHHbcNADIlB7lGpcmK5zXIu91WYp+NhaRmnnN/PSlXLtovgRBQNrmg4AExjIj8/dG4MQBkBeaMderXVNkn7+BByt2FXSbEgSkbzuMoIkDzP/b7MjWZdSjYQh09x6U3cIeHmryuTnC98kqZbmQ4cOH48/tfxrno8jIzsKET99D64aNoZDLcfzieegMetF8FcOGDs3LQyV8J4o9zsp/s1mKXFvipoDUTVFKcsv+RqlUimHDhmHBNwuM7/XFuBsY9cEstG3UDKkZ6Th38+Es8g/3SyVSDB1c9kz/lfH+Pd6jB95+9nl8tmIJtPqSJ7Z7on0XzBr1nDEPErkcMi+Pcs8/IZU73IjCyuNA3wu7fuesxYHeT4dTCe+NQ71/Ffn7LD3WxuVt05Yt+Pj3nx6erPg0iakpePXb+fhq+my0l5gurWoWC/6+f/btw/3E+6L89YnqjPH9BsNDpsDxKxfw9dplyFAXtLivXbsWTZo1Rd6DcN62M9cumVz79v1E3EtNKXRuCfz8/BynDJaTRb9w69evR7169bBkyRLjhHL5WrRogZ9//hkDBw7EunXrzA7m85eci42NRUSEeEKutLQ0PHjwAK1bty73+W7duoWxY8ciMTERX331FR577DGz8uMI/Id1x92PCyaOErQ6pK7bh/SdR+EWWh2GzGxo4hNNxrEoQqtDGdXYKnlwhplRHX2yNsA2k6Bp4xOhjbsnuvH5DuwiCuTzeTarh9yoxlAfLbQCwrZoBE7o75CfcWlsWUYrOqmRM3yfzNGyZUt06NABB/8qWPnEIBhw4vKFYtOH1Q7FY93z7sXONDGgMxg6dChW/vEH7mQUPNhka3Jx4OzJYtP37/goatSoUew+W+jTrjMi6jXE+v278OfRg8YHMqlEik4RrTD00cfRtlEzk+O43BsRkeUSEhLwn0//U660uVotPlz6PTY+NwwKG/c82bNnj+h149B6eOuZvKHSWVlZ6BnZEVKpDB/+8r0xzdlz5zBk2FDRcZdvxeKnLWswrs8guCkUuJ+aUlCR8ZBK5SVaSc1ZWBTM37hxA2PGjDEJ5I0nlcvRvXt3LFu2zOxzR0VFYdGiRThw4AD69+8v2nfwYN56s+3atSvXuQoH8l9++SV69uxpdn4cgerxtvA+csFkvXlDZjZyLtws9hiJuwI13nrGKssxmZzbgQMPs4IkO82CX9kPodp7KeLz+Krg3rBOiemVkU1Ewbz+QTr0aZmQ+znvQ7Atyqi1Ko8c+ftUXhKJBB/NnYvnL1zBldtxpaatFVgNn7zwiuj3g4GZ9Xh7e+PLL/6LyWPGljlfSrvGEXh52Bgb5axktasFY9rQ0ZgyeBSS0h5AbzDA39sHHm4lf4e43BsRkeVWr14NrVbcI6pzRCv0adcF6pxsrPtnFy7fKphw/E5KEvbu24teffrYNJ/3798Xve7eKq93QOF5zbq3isSHv4iPq1+/PmrUqI7bGQWTQP++cws2/LMbNQKr4XrCLRgE8e/HgAED4OHhYf0/opJZFOkpFApkZ5c+YUd2djYUipK7EZakY8eOCAkJwZYtWxATUxBgZGZm4rvvvoNcLseQIUOM21NSUnDt2jWkpIgDmPxA/t69e/jvf/+LXr16mZ0XRyGRSFD9jdFQPV6+CRmknu4IHPcE3MNKDuCqgjK7cz1sESwPa7YIuofVAWRlfPUq8BAqaMQ3Z1mgT6nvhTzIdH4IIbuUWbfJKL/ySPVoK3j3aQfVo63g2byBQ/QCsTUfHx9888rbGN6tF5Tupj+GbnIF+rXviu9efRfB/uLlxSr7O+FoMrPVuJN8Hw8y0kufaNXCCsfw8HAsmvU+Hm3ZFlKJ6fvqo1Thub6D8cnkGcaJjRyBVCpFsH8gagZWKzWQBwp6x5RYbrjcGxHZi4MvmSwIArZu3Sra1rddZ3z8wgx0axWJJzp0xfevvYuw2qGiNJu3iI+xhaKxZOHl5PKlZpoOzXZ3d8fL06ebbM/MycbV23Emgby/ygfjnh1bsczaiUUt802aNMH27dvx4osvonr16ib7ExMTsX37dou6KsjlcsybNw+TJk3C6NGjMWDAAKhUKuzcuRO3bt3CjBkzUK9ePWP6ZcuWYeHChZg2bRqmF/rQxo4di9u3b6NVq1a4dOkSLl26ZHKt6cV8yI5KopCj+ptjIHVTIOvwOWji7pmm8XCDsk04VF1aVsr6yq7IHi2Clb3ubNHjdPceQDAYSuylob1jOpGb1MvTomtXZa7Qwl5RSg8PTB82BhP6D8X+f08g/v5dQACqBwTi0ZaR8FMV/z1yhLWYK5tOr8PuE0ewYf9uXIgtaCmoE1QdT3bujgGdukHlqRQdU5EhCDUDq2HuxOlIfJCM/WdOIin1AWQyGerXqoMuzds4VBBvKWcYWkVEVY+jDx/LyMgwaQQd3l28kpFcJsegLo/hi5UFTd5xcZYvDW6p8PBwHIkuWD5ue/R+jOzRF0G+ebO8C4KApX9uFB3j7u6G0NBQhNWrj9jBI/HdhpWlXsPXS4VPX5yJoKAg6/8BNmBRMD9hwgS89NJLGDZsGCZMmICoqCgEBQUhKSkJR48exZIlS5CWlobx48dblKkOHTpg+fLl+Oabb7B9+3ZotVqEhYXhlVdewcCBA8t1jtu3bwMATp8+jdOnTxebxpmCeSAvWPBs0QCeLRpAeycZuTfuQMjOAWQyyAN84N44tNRJlciUvbpqVuZDqKJ2NdFrQ1Y2cs5eh2fLsGLTq6PPi4+vGQSpN4N5spyXhyf6tu9i1jGuHJilpKRg2pcf4WLcDZN9t5Lu4fuNK7Fm7058MnkGGtZ5RLS/ohWOwf6BGNbNeXumlcXV5p8gIgdRwdZ1Rx4+VlyPsOIqeD0U4t9dQzmXOramgQMH4rdffzO+zszJxvhP5uCJDl3h46HEkYvncPbGFdExffr0gbu7OwSdHiN7PIGw2qH4becWnLoSI0rnrlCgV2RHjOs7yKTHoDOxKJh/7LHH8NZbb+Gzzz7DZ599JtonCALkcjnefPPNCk0216JFCyxevLjMdNOnTy82KC+uJd6VKGoGQlHTeQueo7Bni2BlPYQqagQYV0DIl7blEKS+KrjXLZjoSjAIyDpwBtlnr4uO9xnQiQ/EZBeuGJip1WpMe3l6sYF8YffTHmDmwvn44bX30KTQdosqHB28i2dlcYXyQkSOoaKt6448r4e3tze8vLyQlVkwUer26P14cdBI42tBELDtyH7RcTVr1rJZHvPVq1cPXbt2wd5tO4zbMrLVWLVnR8HSdIVu/TKpFGOeHi06R9tGzdC2UTPEJ97FxdjryNFo4OftjZYNGsPHjKXyHJXF67WMGzcOPXr0wKZNm3Dx4kVkZmZCpVKhSZMmePLJJxES4hpjG8n1OUKLoLUfQv0Gd8W9TwsmoDSoc5D80ya41a1ZsM78uevQPxCPM5Io5PB5or1V80JkCVcJzH777TdcuXK1XGkz1FlYsHYZvnu6YPJXSyocHb2Lp7VotVr8/fff2LBhAy5evIjc3FwEBgaie/fuGD58OEJDQ8s+CVFpqmjFGOWpSOu6Iw8fk0ql6N27N9avW2/ctnLPDuj0evRt1wXq3Bys3rvDpCW7r40nv8v37jtzcPXYady6bzrEuKjXRj6H+vXrF7svJLgGQoLtt3pLZbEomN+wYQMCAwPRtWtXTJ061dp5IrI5V2sRVD3WBhl/n4L6iHhpMM3NO9DcvFPicUFThjj1LPZEjkSr1WLt2rWibcF+AZg65Gm0bdQUV2/HY9HGVYiJK+gdE33hDG7duoWQugXd7S2pcHTkLp5GFQiUrl+/jlmzZiEuTrx6QkJCApYvX44VK1bg2WefxbRp0/JabogsUFUqxqh4FW1dd4TGopKMGDECG9ZvML42CAas3rsTq/fuLDa9j1KFPr17F7uvsvn7+2PhjHfwn2WLEX3hTPFpVD6Y8dSz6N46ysa5sz+Lgvl33nkHzzzzDLp27Wrt/BDZnbMH8gAgkUpR873nkPDOT8j853S5jvHuFQXfAZ0qN2PkutiCZeLUqVMmkwzNnTgdjR/Jm8S1dcPG+GzKaxj1wSxk5hSsELN7zx48N0E854y5FY6O3MUzn6WBUlxcHF544QWkpqaWmF4QBPz666/Izs7Gm2++aa0sUxXkFBVjVCms0bruqI1FDRs2xMQJE7Doq2/KTCuBBG+OngBPT/vNp+Tv7YNPX3wV1xNuYVv0P7hyKxbZOTmoHhCER1u2RbdWUS4xsaslLArmq1WrBq1Wa+28kJkys9V4kJEON7kC1fz82fpAIlKlB2p9/ALuvP8/ZEVfgCGr+OUkFTUD4f14W3g0qWvbDJJLYQuWqXv3xF0C61Srbgzk83krvdChWUvsOhFdcFxi6V0Jy/Mw6MhdPEXZsCBQ+r//+79SA/nCVq9eja5du6JTJ1ZUkmWcoWKMKo81W9cdJZDP98LzzyP3Yhx++XMjBBS/TKqnmzveHDMRXVq0sXHuile/Vh1MGzoagiAgKysLXl5eDve+2ppFwXzPnj2xf/9+aDQauLk571JBzshgMOCff09g/f7dOH31onG7r5cK/Tp0xdBHezr1jIxkXRKFHN492kL1aCtkn7+B3Cu3YMjKhkQmhcxXBc+WYVCEBFf5GyFZB1uwxORy8U9sVnZ2wYQ9hWSos0Sv5TKLp7MRceQunvnMDZQuXLiAf//9V7S7fv36GDt2LGrWrIl9+/bhjz/+EM26vGLFiqoTzLOHjNU5S8UYVR5HbV2vKIlEgvH9BqN76yhs2L8bu08eMf4e1QwIQp92XTCwc3cE+vrZN6OWqiL3Q4ueGF555RWcPHkSU6dOxRtvvIGGDRtaO19UDLVajdmLvsSRmLMm+9KyMrFi93Zs2L8H7457EZ2bt7ZDDslRSeQyKFuGQVnC8nRE1sAWLLEGDRqIXj/ITMeOowfxRIeCIWpXb8XhaMy5Uo+rCEd/CDU3UNq+fbtod0BAAJYuXQqlUgkAaNu2LWrWrIkvvvjCmObw4cNISUlBQEBA5f0hDoI9ZCqHM1SMkW042j3UGurVrI2ZI8ZixlPPIkeTC5lU5hJd1qvK/dCiYH7w4MHQaDSIiYnBgQMH4O7ujoCAAJMCLpFIsGvXLqtktKozGAx4/c03iw3kC8vW5OK9/y3E51Nfx6M9I22UOyIitmAV1bBhQzRq1AiXLhYslfrp8p9x+upFtAlviusJt7DxwB5R90ZPN3f0fPzxSsmPoz6EmhMoxcfHi47t37+/MZDPN3ToUHz55Zei1vlbt25ViWAeYA+ZyuLoFWNEFSWRSODp7mHvbJiqQAt7VbgfWhTMC4IAhUKBmjVrmmwv7TVZbtu2bTh69Gi50uoMeny+Ygm6TB4NGZyzlomInBNbsApIJBI8++yzmPPOHOM2AQL+PHoQfx49WOwxAzp1g5cLrHtrrvIGSkWfK4qbK6aqB1nsIVP5qnoZIxfhJN3QK9LCXhXuhxYF83v27LF2PqgMq1atEr32Vnph6uBR6NYqCndTkvDztvXYf+aEcf+tpHuIjo5G50e54gAR2RZbsAr06dMHx44exbrfV5SZNqJuGCYNGGaDXDm20spL7dq1Ra+3b9+O559/Hh4eBa1JmzZtErXKA0CtWrWsm0kHxh4yRFQeztQN3dIW9qpwP+T0507gzp07uHDhgqhGbNbI5/BEh65Qenigfq06+HDCVNStIX7I2bVnt41zSkQkVpUDeSDv73/7rbfwbO8nIStlxZEebdrjsymz4OHm7rST8NjCE088IXqdmJiIiRMnYteuXTh//jy+/fZb0Xh5AGjXrh2CgoJsmU27U1QPgKpLCyhqB0GqzOsNI1W6Q1E7KG979aox5ICISlfe7uX27obuHlYHkJURtpbQwu7q98MKT5mr0+lw8+ZNZGRkwNvbG3Xr1jWZwZcqJjEx0fhviVQCGaR4tGVbURqpVIruraKw9M/bxnRJyck2zScREZmSKRR4YcRoDH20J7Yc3odjF88hLTMTSncPRNQPw4BO3VG3Rl7Lsb1bPxxdREQEmjVrhvPnzxu3Xbp0CbNnzy7xmFGjRtkiaw6HPWSoUjlJF20qnU27oVegzFS0hd2V74cWR90pKSn473//i61btyInJ8e43cPDAwMGDMDMmTOrzGQzlU1UOSKTQafVITM7Gz5FxlWmZWWI0rFShYjIMcj8vRGgzsXYPgMxts/AUtNRySQSCd5//31MnDgRGRkZZaYfOHAgunblcDNXenAlx+BMXbSdhh0qSGzZDb2iZabwnDy6lAwgKwtSpQfkAebNyeNq90OLor179+7h6aefRkJCAgICAhAZGYmgoCAkJSXh/PnzWL16NQ4ePIgVK1agevXq1s5zlfPII49ALpdDp9NB6u4GvVaH5bu24MVBI41pklIfYEehCZWkHm5WXd6IiIgsVxUm4bGV+vXrY9GiRXjttddw586dEtONHDkSr776qss9uBE5iqowU7gt2auCxJYT1+aXmQcZ6dh94ghu3r0NQTAg2D8Qj7Vuh9DqNY3pipPfwi4IArQPHkDl71/l7/EWBfPz589HQkICpk+fjkmTJsHdveBDzs3NxU8//YSFCxfis88+w+eff261zFZVKpUKPXr0wM6dOwGpBFJPd6zYvR3XE26hS4s2uPcgGZsO7IU6N6+HhNTTHZBIMHBgya0/5GTYnY3IqVWFSXhsKTw8HGvWrMGOHTuwYcMGXLx4ERqNBoGBgejWrRuGDx+O8PBwe2eTyKWxktL67FVBYqtu6Noafvjsi8+w48hBaPU60b6ft61HVOMIvDJyLJp0b13muap6EJ/PomD+wIED6Nq1K6ZOnWqyz93dHdOmTcOpU6ewf//+CmeQ8jzzzDP466+/8r5gCjlkMhmOXo3B0UvnIBgESKQSSBRySN3dAKkE3bp1Q2hoqL2zTVbC7mxERThhBReX7bMud3d3DBw40Fhx7WrjIIkcHSsprc8RKkgq6z6anp6OF1+ZjkvnL8BQJJDPd+ziOUz7fj4WRTVihWw5WTSbvUajQdOmTUtNExERAY1GY1GmyFTTpk0xc+bMgg0PW+ilKiVkPl6QqpR5D4JSCUJDQzFnzpyST0ZOyVlmHCWyhfwKrvJwpAqu/NYP1aOt4N2nHVSPtoJn8wYM5K2AgTyR7bn6TOG2ll9BUuLM7U5cQfLuu+/i8uXLeY2SKiUkCjkk0rz7dn6jpEylREZONmbMmIGsrCw759g5WNQyHxERgRs3bpSa5vr164iIiLAoU1S80aNHQ6VS4YsvviixgHfo0AEffvgh/P39bZw7qmyOUFtL5Eicfbwmg08icgWuPFO4PbhiL64LFy7g4MGCub0glcDN2wuPPvoolEol/vnnH6Snpxt3JyYmYvPmzVV2NRJzWBTMv/LKKxg/fjzWrVuHoUOHmuxfs2YN9u3bh59//rnCGSSxgQMHomfPnti+fTv27duHpKQkuLu7o3Hjxhg0aBAaN25s7yxSJWF3NiIxVnARETkWBvLW4WoVJOvXrxe99vHxwdKlS41DgjMzMzF16lTRsqPr1q1jMF8OFgXz0dHRaN++Pd555x0sXrwYbdq0QWBgIJKTk3Hy5EncuHEDnTt3RnR0NKKjo43HSSSSYsfZk3mUSiWGDRuGYcOG2TsrZGPWWpaDyBWwgouIiFydswfyAHD27FnR61GjRonm9lKpVJgyZYooTrx+/TqysrLgVWQpbhKzKJhfuHCh8d/Xr1/H9evXTdIcOHAABw4cEG1jME9UMbGxscaeL0lJSZDJZIiIiMCQIUPwWONQyybBIHJirtgdkYiIyJVkZ2eLXterV88kTf369Ys9jsF86SwK5n/99Vdr54OISmEwGLBgwQL8/vvvEATBuF2v1+PYsWM4duwYQkND8fnnnxd7MyRyZVJPdyT6yHEx4R5ycnMQ5B2ENmGNGMgTERE5AD8/P9y+fdv4+siRI+jVq5coTeHe3AAglUrh4+Njk/w5M4uC+Xbt2lk7H0RUAkEQ8Omnn2Lt2rWlpouLi8MLL7yAn3/+mcsSUpVx6NAhLFmyBKdOnRJt9/LywsCBAzFhwgROCEpERGRHnTp1Eo2H37RpEyIiIvDkk09CKpXi5MmTWLBggeiYyMhIuLlxmFxZJELhZj6yG0EQkJqaCj8/P5cYG0PWc/DgQbzyyivF7tPr9ZAVWXKrVatWWLx4MQBA0OmRset4ua/l3TMSErljLOFF1udq95mffvoJixYtKjVN9erV8d133+GRRx6xUa5ci6uVGap8LDNkLpYZ15eYmIgBAwbAYBDPb+Pj4wNPT0/cu3fP5Jj58+ejR48exZ6PZaYAh9gSObjly5eLXstkMowZMwaLFi3C7NmzTbrVnz59GhcvXrRlFolsbuPGjWUG8gBw7949TJ8+HRkZGTbIFRERERUVHByM5557zmR7enp6sYF8ZGQkunfvXvkZcwEM5okcWFJSEo4cOSLa9uqrr2LmzJlo06YNevfujSVLliAgIECUZtu2bbbMJpFNaTQafPPNNybbfXx8UL9+fZNa+oSEBPzxxx+2yh4REREV8eKLL2LIkCFlpmvevDnmz58PqZRhannwXSJyYIUnCwHyJgMpeiNUKpXo16+faFt8fHzeP8zteVS1eyqRk9i1axfS0tJE26ZNm4YdO3Zg1apVWLt2LcLDw0X7169fD71eb8tsEhER0UNSqRRvv/02Pv74YzRr1sxkf82aNfHyyy9j0aJFnPjODBZNgEdEtlF0SouSxgUVrb3MP04ik0GqdIdBnVvmtaRKd0hkHC9Pjq/ojLdt27YVdd8LDQ3Fu+++i2effda4LTExETdu3EBYWJitsklERESFSCQS9O7dG71798b169dx48YN6PV61KhRAxEREWyNtwCDeSIHVrt2bdFrvV6PzZs3Y9iwYcZt2dnZJt3q69SpY/y3zN+7XMG8zN+7grklso2irfJRUVEmaZo0aQKlUgm1Wm3clpqaWtlZIyIionKoX78+l1O2AgbzRA6sWrVqiIyMxPHjBTPSf/7557hz5w66deuGK1euYM2aNUhKShIdV7jbvXtYHWjvpgB68QyiIjIp3BuGWD3/RJVBqVSKXl+5csUkTUJCgiiQL+44IiIiImfGvgxEDm706NGi11qtFkuXLsX48eMxd+5cXL58WbS/efPmaNq0qfG11NMdni0aALISvu4yKTxbNIDUg2t5knNo0aKF6PXu3btFXe81Gg0+//xzURovLy80aNDAJvkjIiIisgW2zBM5uK5du2LgwIHYtGlTmWl9fHzw/vvvm2xXVA+ArIsXcq/egv5BBgzqXEiV7pD5e8M9rA6knu6VkXWiStG/f38sWLAAGo3GuG3atGlo3bo1atasiejoaKSkpIiOGTBgANzdWc6JiIjIdTCYJ3JwEokE77zzDjw8PLBq1aoS09WqVQtffPEF6tatW+x+qac7PJvntUwKglDiZHpEjs7HxwejR4/G0qVLRdtPnTqFU6dOmaRXKpUYM2aMjXJHREREZBsM5omcgEwmwxtvvIEhQ4Zg9erV+Oeff5CcnAw3Nzc0a9YMQ4cORa9evcrd8shAnpzdSy+9hNjYWPz999+lpnNzc8P8+fNRq1YtG+WMiIiIyDYkQtG1r8guBEFAamoq/Pz8GGhRuRgMBqSlpbHMULm52n3GYDBgyZIlWLZsGdLT0032t2rVCq+99hqaNGlih9y5BlcrM1T5WGbIXCwzZC6WmQJsmSdyUlX95kUklUoxceJEPPPMM9i7dy9iYmKg0WgQGBiIrl27Ijw83N5ZJCIiIqo0DOaJiMipubu7o0+fPujTp4+9s0JERERkM1yajoiIiIiIiMjJMJgnIiIiIiIicjIM5omIiIiIiIicDIN5IiIiIiIiIifDYJ6IiIiIiIjIyXA2e6IqQKPRYPfu3di1axcSExMhk8nQoEEDDBo0CM2bN+cyd0RELiQ3Nxd//fUX9uzZg8TERCgUCjRs2BADBw5Es2bNeM8nqzEYDIiOjsbWrVsRHx8PAKhTpw769u2LLl26QCpluyFRZZIIgiDYOxPFOXPmDBYsWIDTp09Dq9UiLCwM48aNw5NPPlnucxgMBixfvhwrV65EbGwslEol2rdvj5kzZ6Ju3bqVl3kLCIKA1NRU+Pn58UeWyqW8Zeaff/7BvHnzkJKSUuz+Fi1aYN68eahVq1ZlZZUcBO8zZC6WGeeze/dufPLJJ0hNTS12f5s2bTBv3jwEBwdXyvVZZqqOmJgYvPvuu7h582ax+0NCQvDhhx+iefPmpZ6HZYbMxTJTwCGry44cOYLRo0fj+PHj6NOnD55++mk8ePAAs2bNwg8//FDu87z//vuYO3cuDAYDnnnmGXTr1g179uzB8OHDcfXq1Ur8C4gcw44dO/Daa6+VGMgDeRVnEyZMQEJCgg1zRkRE1rZp0ya8+eabJQbyAHDy5EmMHz8eiYmJtssYuZzz58/jhRdeKDGQB4D4+HhMnjwZp06dsl3GiKoYh2uZ1+l0eOKJJ3D37l2sXLkSTZs2BQBkZmZi1KhRuHHjBrZu3Vpmy3p0dDTGjRuHyMhILFmyBG5ubgCAw4cPY/z48YiMjMTvv/9e2X9OubGGicxVVplJSEjA8OHDodFoynW+iIgILFmyhOXPhfE+Q+ZimXEesbGxGDlyJHQ6XbnSt2nTBj/++KPV88Ey4/pyc3MxZMiQclcIBQQEYMOGDVAqlcXuZ5khc7HMFHC4lvno6GjExcVhwIABxkAeAFQqFaZMmQKdTod169aVeZ7Vq1cDAGbMmGEM5AGgY8eO6NKlC44dO4YbN25Y/w8gchArV640CeRbtGiBN954Ay+88AKCgoJE+86dO4d///3XllkkIiIrWbFihUkg36ZNG7zxxht4/vnnERAQINp38uRJXLhwwZZZJBexY8cOk0A+NDQUL7/8MmbMmIH69euL9qWkpGDbtm22zCJRleFwwfzRo0cBAF26dDHZ17lzZ1Ga0hw5cgRKpRJt2rQx2Zd/7mPHjlUkq0QOy2AwYPPmzaJtTzzxBP73v/9hxIgReOGFF7Bq1SqTMZMbN260ZTaJiMgKtFqtSbA0ePBgLFq0CCNGjMDkyZOxatUq+Pv7i9Lwnk+W2LRpk+h106ZN8ccff2Ds2LF45plnsHz5crRq1UqUhmWNqHI43Gz2+WNvHnnkEZN9vr6+8Pf3R2xsbKnnUKvVuH//PsLDwyGTyUz253fRL22cj61HH+Rfz8FGPZADK63M3L9/H+np6aJt48ePF6X39vbG0KFDRfNQXL16lWXQhfE+Q+ZimXEOCQkJUKvVom1F7/m+vr4YPHgwlixZYkxz5coVq3+2LDOur+i8U2PGjIFCoTB+5jKZDM888wxOnz4tOsZgMBTbJZplhsxVVcpMeYYQOFwwn5mZCSAv0CiOSqXC3bt3Sz1HRkaGMW1J5yh8reKkpaXZpYCkpaXZ/Jrk3IorM0lJSdDr9aJtUqnUZFIkd3d3UTq1Wl3qxEnkGnifIXOxzDi2lJQUi+752dnZlXbPZ5lxXdnZ2aJyJJfLTcqRXC4XpTEYDEhNTS01OGGZIXO5epkp2puqOA4XzDsKX19fm15PEASkpaXB19e3yk/kQOVTWpnx8PCAQqGAwWAwbouOjsbIkSNFxx84cEDUe6VWrVrw8/Or9LyTffA+Q+ZimXEO9evXN+mJGB0djcGDBxtfC4KAgwcPitLVrl3b6vd8lhnXV7t2bcTFxRlfHz58GD169BClOXz4sKisBQcHlxiYsMyQuVhmCjhcMJ/fap7ful5UZmZmia32+fL3l9Tynr+9pJZ7oHzdGiqDRCKp8oWSzFNcmfH09ETnzp2xf/9+47Zvv/0WUqkU/fr1Q1paGpYuXYoTJ06IjuvVqxfLXxXA+wyZi2XGsfn6+qJdu3aiOYW+/PJLCIKAPn36IDk5Gf/73/9w9uxZ0XE9e/astM+VZcZ19ejRA0uXLjW+3rhxIwICAjBixAhIpVKsXbvWOBF1vvKUNZYZMhfLjAMG8/nj2WNjYxERESHal5aWhgcPHqB169alnkOpVKJatWq4desW9Hq9SW11/lj5spa3I3JmI0eOFAXz2dnZmD9/PubPn19seh8fH/Tu3dtW2SMiIisaOXKkKJhXq9X4+OOP8fHHHxebPiAgwKQ1lag8hg0bht9++83YjV4QBPz888/4+eefi00vlUoxfPhwW2aRqMpwuNnso6KiAAAHDhww2Xfw4EEAQLt27co8T7t27aBWq3Hy5EmTffnnzr8WkStq3749+vbtW+70b731Fjw8PCoxR0REVFkeffTRcgfnEokE77zzjmjpXqLyqlmzJl566aVyp584cSJCQ0MrMUdEVZfDBfMdO3ZESEgItmzZgpiYGOP2zMxMfPfdd5DL5RgyZIhxe0pKCq5du4aUlBTReUaMGAEA+Oqrr0RrbR8+fBgHDhxAVFQU6tWrV8l/DZH9SCQSvPfee+jTp0+p6WQyGd577z306tXLRjkjIiJrk0gkmDt3bpkBvUKhwIcffohu3brZKGfkisaNG4cXXnihzHRjx44tVzoisoxEcMA5/aOjozFp0iQoFAoMGDAAKpUKO3fuxK1btzBjxgxRbeCCBQuwcOFCTJs2DdOnTxedZ86cOVi9ejXCwsLQrVs3JCcnY9u2bXB3d8cff/yBsLAwW/9pJRIEAampqfDz86vyYz+ofMpbZgRBwOHDh7Fy5UocOnTIuEqDUqnEgAEDMHLkyGKXgiTXw/sMmYtlxvkIgoD9+/dj1apVOHLkiPGer1KpMGDAAIwaNQp16tSp1OuzzFQdFy5cwB9//IFdu3YZG8/kcjl69OiBUaNGoUWLFmWeg2WGzMUyU8Ahg3kAOHPmDL755hucPn0aWq0WYWFhGDduHAYOHChKV1owbzAYsGzZMqxcuRKxsbFQKpVo3749Zs6c6XCt8iyUZC5LykxWVhaSkpIgl8tRvXp1yOUON20GVSLeZ8hcLDPOLTMzE8nJyZDL5ahRo4bJHEKVgWWmasrNzUViYiIEQUBwcLBZw/ZYZshcLDMFHDaYr2pYKMlcLDNkLpYZMhfLDJmLZYbMxTJD5mKZKeBwY+aJiIiIiIiIqHQM5omIiIiIiIicDIN5IiIiIiIiIifDYJ6IiIiIiIjIyTCYJyIiIiIiInIyDOaJiIiIiIiInAyXpiMiIiIiIiJyMmyZJyIiIiIiInIyDOaJiIiIiIiInAyDeSIiIiIiIiInw2CeiIiIiIiIyMkwmCciIiIiIiJyMnJ7Z6CqO3PmDBYsWIDTp09Dq9UiLCwM48aNw5NPPmnvrJGdbNy4ESdOnMC5c+dw+fJlaLVafPLJJxg6dGix6TMzM7FgwQLs3LkT9+/fR7Vq1dC7d29Mnz4dKpXKxrkne7h37x62b9+Of/75B9evX0dSUhJ8fX3Rpk0bTJo0CS1btjQ5huWmaktPT8c333yDs2fP4tatW0hLS4O/vz/q1auHMWPGoHfv3pBIJKJjWGaoqJ9++gmff/45AGDlypVo1aqVSRqWm6qtR48euH37drH7Ro4ciQ8//FC0jeWF8v31119Yvnw5Lly4gOzsbAQFBaFVq1Z4/fXXUbNmTWO6ql5muDSdHR05cgQTJ06EQqFA//794e3tjZ07d+LWrVuYOXMmXnzxRXtnkewg/4fP398fSqUSt2/fLjGYV6vVGD16NGJiYtC5c2c0bdoUFy9exP79+9GkSRMsX74cSqXSDn8F2dLnn3+On376CaGhoYiKikJgYCBiY2Oxa9cuCIKAL774Av369TOmZ7mh2NhYDB48GC1btkRoaCj8/PyQnJyMv//+G8nJyRgxYgTmzp1rTM8yQ0Vdu3YNgwcPhlwuh1qtLjaYZ7mhHj16ID09HePGjTPZFxERgccee8z4muWFAEAQBLz//vtYuXIlQkND0aVLF3h5eSExMRHHjh3DZ599hsjISAAsMwAAgexCq9UKPXv2FCIiIoTz588bt2dkZAj9+/cXmjZtKty4ccN+GSS7OXjwoHDr1i1BEARh0aJFQnh4uLB27dpi03799ddCeHi4MH/+/GK3f/3115WeX7K/HTt2CMeOHTPZfuzYMaFZs2ZCu3bthNzcXON2lhvS6XSCVqs12Z6RkSH069dPCA8PFy5fvmzczjJDhel0OmHYsGHC8OHDhVmzZgnh4eHCqVOnTNKx3NBjjz0mPPbYY+VKy/JCgiAIv/zyixAeHi783//9n6DT6Uz2F/7tYpkRBI6Zt5Po6GjExcVhwIABaNq0qXG7SqXClClToNPpsG7dOjvmkOylU6dOqF27dpnpBEHA6tWroVQqMXXqVNG+yZMnw9fXF2vWrIHAzjcur3fv3sZa6sIiIyPRvn17pKam4tKlSwBYbiiPTCaDXG460k6lUqFLly4A8lrvAZYZMvXTTz/h4sWL+PjjjyGTyYpNw3JD5mB5IQDIycnBt99+i5CQELz99tvF3l/yf7tYZvIwmLeTo0ePAoDxoamwzp07i9IQFefmzZtITExEmzZtTLoQubu7IzIyEvfu3TM+kFPVlP+jl///LDdUmtzcXERHR0MikSAsLAwAywyJXb58GQsXLsRLL72Ehg0blpiO5YbyaTQarF+/Hj/88AOWL1+OixcvmqRheSEAOHjwIFJTU9GzZ08YDAbs3LkTP/74I1asWGHy2bPM5OEEeHZy8+ZNAMAjjzxiss/X1xf+/v4uX/ioYvLLR926dYvdn1+2YmNjS0xDri0hIQGHDh1CtWrVEB4eDoDlhsTS09Pxyy+/wGAwIDk5Gf/88w/u3LmDadOmGT9/lhnKp9PpMHv2bDRo0AAvvPBCqWlZbijf/fv3MXv2bNG2rl27Yv78+QgICADA8kJ5zp07ByCv99jAgQNx48YN4z6pVIrnnnsOb775JgCWmXwM5u0kMzMTAODt7V3sfpVKhbt379oyS+RkMjIyAKDEmTrzt+eno6pFq9XijTfegEajwaxZs4xd1VhuqLD09HQsXLjQ+FqhUOCNN97AhAkTjNtYZijfDz/8gEuXLmHVqlVQKBSlpmW5IQAYOnQo2rVrh7CwMLi5ueHatWtYuHAh/vnnH0yZMgUrVqyARCJheSEAQHJyMgBgyZIlaNq0KVavXo0GDRogJiYG7777Ln7++WeEhIRg9OjRLDMPsZs9EZGLMRgMePvtt3Hs2DGMGDECgwcPtneWyEHVqVMHly5dwoULF7B79268/PLL+PLLLzF9+nTodDp7Z48cyMWLF/HDDz9gwoQJaNasmb2zQ05i2rRpaNeuHQICAqBSqdCyZUssWrQIbdu2xalTp7Bv3z57Z5EcSP74doVCgW+//RYtWrSAl5cXIiMj8c0330AqlWLJkiV2zqVjYTBvJ2XVFmVmZpbYak8EFPTqyO/lUVRZvT/INQmCgDlz5mDTpk0YOHAg/u///k+0n+WGiiOTyVCnTh288MILmDFjBv766y+sWrUKAMsM5XnzzTcREhKC6dOnlys9yw2VRCqVGpfbPXnyJACWF8qTHx9FRESgevXqon0NGzZESEgI4uLikJ6ezjLzEIN5Oyk6FrGwtLQ0PHjwoNjx9ET58stH/vwLReWXLZajqiO/RX7t2rUYMGAA/vOf/0AqFd/mWW6oLPkTs+ZPwsoyQ0Bey/z169fRvHlzNGrUyPjf+vXrAQAjR45Eo0aNsGvXLgAsN1Q6f39/AEB2djYAlhfKU79+fQAlB+D523NyclhmHuKYeTuJiorCokWLcODAAfTv31+07+DBgwCAdu3a2SNr5CTq1q2L4OBgnDx5Emq1WjSTZ25uLo4fP47g4GCXv4lRHoPBgHfeeQfr1q1Dv379MH/+/GKXdGG5obLcu3cPAIzlh2WGAGD48OHFbj9+/Dhu3ryJHj16ICAgwLi0KssNlebMmTMAwPJCIu3btwcAXL9+3WSfVqtFXFwclEolAgICUK1aNZYZsGXebjp27IiQkBBs2bIFMTExxu2ZmZn47rvvIJfLMWTIEDvmkBydRCLBU089BbVajW+//Va0b9GiRUhLS8NTTz0FiURipxySrRQO5Pv27YvPPvusxLWfWW4IAGJiYood5pWamoovv/wSAPDoo48CYJmhPB999FGx/7Vu3RpA3rrOH330EZo0aQKA5YaAq1evIj093WT78ePHsWTJEri5uaF3794AWF4oT2hoKLp06YLY2FisXr1atO/HH39Eeno6evbsCblczjLzkETIn2mAbC46OhqTJk2CQqHAgAEDoFKpsHPnTty6dQszZszASy+9ZO8skh2sXr0aJ06cAJC3nu/58+fRpk0bY81iz5490bNnTwCAWq3G6NGjERMTg86dO6NZs2a4ePEi/vnnHzRp0gTLly83WXuTXM+CBQuwcOFCKJVKjB071rimfGE9e/Y0PmSz3NBHH32ENWvWoH379qhVqxY8PT2RkJCAvXv3Qq1Wo0+fPvjqq6+MwzRYZqgks2fPxvr167Fy5Uq0atVKtI/lpmpbsGABFi9ejI4dO6J27dpwc3PD5cuXcfDgQUilUvzf//0fnnrqKWN6lhcCgLi4OIwaNQrJycno3r076tevjwsXLiA6Ohq1a9fGypUrUa1aNQAsMwCDebs7c+YMvvnmG5w+fRparRZhYWEYN24cBg4caO+skZ3kPxiVZNq0aaIJiDIyMrBw4ULs2LEDSUlJCAoKQp8+fTBt2jSXn/SD8pRVZgDgk08+MU44BLDcVHXHjx/H2rVrcfr0aSQmJiInJwe+vr5o2rQpBg8ejP79+5u0ZrDMUHFKC+YBlpuq7OjRo1i+fDkuXLiApKQkaDQaBAYGom3btnjuuefQokULk2NYXggA7ty5g2+++Qb79+9HamoqgoKC0KNHD0ydOhWBgYGitFW9zDCYJyIiIiIiInIyHDNPRERERERE5GQYzBMRERERERE5GQbzRERERERERE6GwTwRERERERGRk2EwT0RERERERORkGMwTERERERERORkG80REREREREROhsE8ERERERERkZNhME9ERERERETkZBjMExERubhbt26hUaNGmD17tmj7s88+i0aNGtklT+vWrUOjRo2wbt06u1yfiIjI2TGYJyIiIrMdOXIEjRo1woIFC6rk9YmIiOxNbu8MEBERkX18+umnyM7Otsu1e/XqhZYtWyI4ONgu1yciInJ2DOaJiIiqqFq1atnt2t7e3vD29rbb9YmIiJwdu9kTERG5CL1ejx9//BG9evVC8+bN0atXLyxatAiCIBSbvrgx8waDAatXr8bw4cPRrl07tGzZEj169MCUKVNw7NgxAMCCBQswduxYAMDChQvRqFEj43+3bt0CAMyePRuNGjVCfHw8li5div79+yMiIsI4br+0MfPx8fF477330KNHD0RERKBjx4549tlnjWnLc30iIiJXx5Z5IiIiF/Huu+9i7dq1qFOnDsaMGYPc3FwsWbIEp06dKvc5vvjiCyxevBihoaEYMGAAvLy8cO/ePRw/fhzR0dGIiopCu3btMGTIEKxfvx7t2rVDu3btjMf7+PiIzjd37lz8+++/6NatG7p3746goKBSr3/q1Ck8//zzyMzMRJcuXdC/f3+kpaUhJiYGv/76K4YOHWrW9YmIiFwVg3kiIiIXcOTIEaxduxaNGzfGihUroFQqAQAvvvgiBg0aVO7zrFmzBtWrV8emTZvg6elp3C4IAtLS0gAA7du3BwBjMD19+vQSz3fp0iWsX7++XF36NRoNZs6ciaysLPz444949NFHRfvv3r1r9vWJiIhcFbvZExERuYANGzYAAKZOnWoM5AGgevXqxi7p5aVQKCCTyUTbJBIJ/Pz8zM7XxIkTyz02f/fu3bhz5w4GDhxoEsgDQI0aNcy+PhERkatiME9EROQCLl26BACIjIw02VfctpL07dsXt27dwpNPPomvvvoKhw4dglqttjhfLVq0KHfaM2fOAAA6d+5s8fWIiIiqCgbzRERELiAjIwNSqRT+/v4m+wIDA8t9njlz5uD111+HXC7H999/j/Hjx6NDhw548803kZKSYna+zLl2RkYGgLzeBERERFQ6jpknIiJyAd7e3jAYDHjw4AECAgJE+5KTk8t9HoVCgUmTJmHSpEm4d+8ejh07hnXr1mHDhg1ISkrC//73P7PyJZFIyp02f6m6e/fumXUNIiKiqogt80RERC4gf4m548ePm+wrblt5VK9eHQMGDMDixYtRt25dHDp0CDk5OQBgHFOv1+stzLGp/C75Bw8eLDNtZVyfiIjImTCYJyIicgGDBw8GAHz77beiMe737t3Dr7/+Wq5zaDQaHD582GRderVajaysLMjlckileY8Ovr6+xvNby+OPP44aNWpg06ZN2L9/v8n+wteqjOsTERE5E3azJyIicgHt27fH0KFDsW7dOjz55JPo1asXNBoNtm3bhlatWuHvv/8u8xw5OTl47rnnEBISgpYtW6JmzZpQq9XYu3cv7t+/j+effx5ubm4AgPr16yM4OBhbt26Fh4cHatSoAYlEgqefftrYXd5cbm5u+OqrrzBp0iQ8//zz6Nq1Kxo3bozMzEzExMQgJyfHOGt/ZVyfiIjImTCYJyIichHz5s1DvXr1sGrVKvz++++oUaMGxo8fjyeeeKJcwbynpydmzZqF6OhoHD9+HMnJyfD19UX9+vUxa9Ys9OvXz5hWJpNh4cKF+Pzzz7Fx40ZkZWUBAPr161ehYLp169ZYv349Fi1ahAMHDuDw4cPw8fFBgwYNMGrUqEq/PhERkbOQCEX70hERERERERGRQ+OYeSIiIiIiIiInw2CeiIiIiIiIyMkwmCciIiIiIiJyMgzmiYiIiIiIiJwMg3kiIiIiIiIiJ8NgnoiIiIiIiMjJMJgnIiIiIiIicjIM5omIiIiIiIicDIN5IiIiIiIiIifDYJ6IiIiIiIjIyTCYJyIiIiIiInIyDOaJiIjIbM8++ywaNWqEI0eO2DsrREREVRKDeSIiIiIiIiInw2CeiIiIiIiIyMkwmCciIiIiIiJyMgzmiYiIiIiIiJyM3N4ZICIiospx69YtPP7446hduzb27NlTbJpGjRoBAC5dulTsth07duDXX3/FpUuXkJGRgd27d6NOnTqic5w5cwYLFy7E6dOnodFo0LhxY0yaNAk9e/Y0uV56ejp27NiBPXv24OrVq7h37x4UCgXq16+PJ598EqNHj4Zcbvp4UjhP+/btw48//ogLFy5AKpWidevWePXVV9G0aVPL3igiIiInxJZ5IiIiKtaPP/6Il19+GTdv3kTdunUREBBgkub48eMYPXo0jh07hpCQEKhUKpw6dQpTp07FkiVLTNL//fffmDNnDvbv3w+9Xo/w8HD4+/vj3Llz+OijjzB16lQYDIYS87RixQpMnjwZsbGxqFevHgwGA/bv348xY8bg2rVrVv37iYiIHBlb5omIiKhY33zzDebOnYunnnoKEokEOp3OJM13332HPn36YN68eVAqlRAEAb///jvmzZuHzz//HB07dkTjxo2N6Rs1aoRFixahU6dOcHNzM26Pj4/HW2+9hb1792Ljxo0YMmRIsXn69NNP8fHHH2Po0KEAgMzMTEybNg2HDx/GwoUL8eWXX1r5XSAiInJMbJknIiKiYo0aNQojRoyARCIBAMjlcpMu8L6+vvjkk0+gVCoBABKJBM8++yx69+4NnU5n0jrfuHFjdO/eXRTIA0BISAg+/vhjAMDmzZtLzNPw4cONgTwAqFQqvPXWWwCA/fv3W/iXEhEROR+2zBMREVGxBg0aVGaa4cOHw93d3WT76NGjsXPnThw4cMBkn0ajwY4dO3DkyBHcuXMH2dnZEATBuP/ixYulXq+oRo0awd3dHRkZGXjw4AH8/f3LzDcREZGzYzBPRERExWrQoEGZaerXr1/q9qSkJGRmZkKlUgEAEhISMGHCBNy4caPEc6alpZW4LzQ0tNjtAQEBuHPnDtRqNYN5IiKqEhjMExERUbHyu86XJjAwsMztWVlZxmB+9uzZuHHjBlq2bInp06ejSZMm8PX1hUKhgE6nQ7NmzYodm19WnqTSvJGDhVv4iYiIXBmDeSIiIheVP9a9pABXrVZX+BopKSllbvfy8gIA3Lt3D0eOHIGnpyd+/PFH+Pn5iY65c+dOhfNDRERUVXACPCIiIhfl6ekJoOSAOy4ursLXuH79erHb85eJCwoKEnWxB/K64BcN5AHxWvdERERUOgbzRERELsrf3x/e3t7IycnBlStXTPavXr26wtdYs2YNNBqNyfYVK1YAADp37mzc5uHhAQBITk4utrfA4sWLK5wfIiKiqoLBPBERkYuSSCTo0qULAOA///kPsrKyjPvWr1+PtWvXVvgaqampePvtt41d9gVBwLJly7Bz507IZDKMHz/emDYsLAy+vr64e/cuvv/+e2NAn5ubi3nz5uHChQsVzg8REVFVwTHzRERELmz69OnYt28fDhw4gC5duqBevXpITEzE/fv38cEHH+CDDz6o0PmnTJmC77//Hnv27DGeOzExEQDw6quvokmTJsa0CoUCr7zyCj788EN8/fXXWL58OapXr46bN28iKysLc+fOxZw5cyqUHyIioqqCLfNEREQurEGDBli2bBm6du0KiUSCGzduoE6dOvjhhx/w9NNPV/j8kZGRWL58Odq2bYu4uDikp6ejVatWWLhwISZNmmSSfsyYMfjss8/QpEkTpKamIi4uDhEREfjxxx/x1FNPVTg/REREVYVE4BouRERERERERE6FLfNERERERERETobBPBEREREREZGTYTBPRERERERE5GQYzBMRERERERE5GQbzRERERERERE6GwTwRERERERGRk2EwT0RERERERORkGMw7CEEQkJqaCkEQ7J0VchIsM2QulhkyF8sMmYtlhszFMkPmYpkpwGDegbBAkrlYZshcLDNkLpYZMhfLDJmLZYbMxTKTh8E8ERERERERkZNhME9ERERERETkZBjMExERERERETkZBvNERERERERETobBPBEREREREZGTkds7A+T41Go1tm3bhu3bt+P27duQSCQICQnBgAED0Lt3b3h4eNg7i3Zz+fJlrFmzBsePH0dmZiZUKhXatGmD4cOHo3HjxvbOHpVBEAT8+++/WLduHf79919kZ2fD19cXHTt2xPDhwxEaGmrvLBIREbkcrVaLv//+G5s2bcL169eRk5ODOnXqoHfv3njyySfh6+tr7ywSOQWJ4IDz+m/cuBEnTpzAuXPncPnyZWi1WnzyyScYOnSoWecxGAxYvnw5Vq5cidjYWCiVSrRv3x4zZ85E3bp1KyfzFspfL9HPzw8SicTe2THau3cvPvzwQ6Snpxe7PyAgAPPmzUO7du1snDP7ysnJwYcffoidO3eWmKZHjx744IMPoFQqKyUPjlpmnEVqairefvttHD16tMQ0Tz31FF577TXI5a5R78kyQ+ZimSFzscxQWS5cuIDZs2cjISHBuE2v10MmkwEAPD098frrr2PgwIH2yiI5ON5nCjhkN/uvv/4aK1euREJCAoKDgy0+z/vvv4+5c+fCYDDgmWeeQbdu3bBnzx4MHz4cV69etWKOXdOePXvw+uuvlxjIA0BKSgpefvnlUgMiV6PVajFz5sxSA3kg7/17+eWXodFobJQzKq/MzExMnjy5zHK7evVqzJkzBwaDwUY5IyIicl0xMTGYPHmyKJAvKjs7Gx9++CHWrl1rw5wROSeHDObnzZuHPXv2IDo6GqNGjbLoHNHR0Vi1ahUiIyOxfv16vPHGG/j000/x448/IjMzEx988IF1M+1iUlJS8MEHH6A8HTd0Oh3eeecdqNVqG+TM/n777TccO3asXGlPnz6Nn3/+uZJzROb6+uuvce3atXKl3bVrFzZv3lzJOSIiInJter0eb7/9NrKzs8uVfv78+YiLi6vkXBE5N4cM5jt16oTatWtX6ByrV68GAMyYMQNubm7G7R07dkSXLl1w7Ngx3Lhxo0LXcGUbN240Cc7btWuHjz/+GHPnzkWLFi1E+x48eIA///zTllm0C61Wiz/++EO0zdPTExMnTsTXX3+N559/3qRb/erVq9k670BSU1OxZcsW0TY/Pz9Mnz4dX3/9NcaMGQOFQiHav2zZsnJVbBEREVHx9u/fj/j4eNG28PBwvPvuu/jggw/QrVs30T69Xm98niei4jlkMG8NR44cgVKpRJs2bUz2denSBQDK3bpaFRUNdrp164Zvv/0WvXv3xhNPPIHFixebvLdVofXyyJEjSElJEW37+uuv8dJLL6Fz586YPHkyvvvuO9H+tLQ0HDhwwJbZpFL89ddf0Gq1xtdyuRw///wzxo0bh86dO2PmzJmYO3eu6Jjr168jJibG1lklIiJyGVu3bhW9rl+/PpYuXYqBAwfi0Ucfxeeff24yP9bWrVs51I2oFK4xq1MRarUa9+/fR3h4uHEyjcLyJ7+7efNmieewdStc/vUcofXPYDCYdGsaOXIkgIL8SSQSPPXUUzh58qQxTWxsrEPkvzIVLTPh4eFo3bq16O9u1qwZIiIicO7cOeO2GzduWP29caQy40yKfoadOnVCSEiI6H187LHHEBQUhKSkJNFxTZo0sVU2KwXLDJmLZYbMxTJDJYmNjRW9HjZsGBQKhajMjBw5EuvWrTOmSU9Px4MHDxAQEGDTvJJjqyr3mfJM7ueSwXxGRgYAQKVSFbs/f3tmZmaJ50hLS7NLAUlLS7P5NYsyGAzQ6XSibRqNBqmpqaJtWq0Wer1e9LpoGleTmZkp+pslEkmJf3PhdFlZWZX23jhCmXEmarVa9NkAKPazkUgkonSZmZkuU75ZZshcLDNkLpYZKionJ0f0u6rT6US/q2lpaSZpgLyhnFKpy3Ympgpw9fuMv79/mWlcMpi3BluvbykIAtLS0uDr6+sQSyzUrl0bd+/eNb7++++/0blzZ1GaPXv2iHo+hISEwM/Pz1ZZtIsGDRqI/ubLly8jJSUF9evXN26Li4vDhQsXROkaNGhg9ffG0cqMs6hXr57oszl27BgMBoOo1v/EiRO4f/++KF1YWJjTl2+WGTIXywyZi2WGShIaGiqaxX737t14+umnAcBYZpYvXy767fXw8MAjjzziMkvEknXwPlPAJb8Z3t7eAEpuec/fXlLLPVC+bg2VQSKROESh7NOnD3755Rfj640bN0Iul2PIkCHQ6XRYvXo19u7dKzqmb9++DpH3ytS5c2d4eXkhKysLQN7NZPr06ZgyZQpatGiBc+fO4YcffhCN7/L09ES3bt0q7b1xlDLjLHr16oWFCxcaP6Ps7Gy89NJLePHFFxEWFoajR4/ihx9+EB1To0YNtGrVymXeZ5YZMhfLDJmLZYaK6tu3L6Kjo42vz5w5g9dffx2jR4+GIAg4ePAgli1bJjqmV69eJpPSEuXjfcZFg3mlUolq1arh1q1b0Ov1JuPm88fM5o+dJ1PDhg3D77//LurqtHbt2hLX/PTw8MCTTz5pq+zZjVKpxKBBg7B8+XLjtsTExFKXOhwwYECpFUdkWzVr1kT37t2xZ88e47br16/jjTfeKPGYESNGsIsfERFRBfTq1QvffPONaCLhffv2Yd++fcU+rwN5v79EVDKXfTpt164d1Gq1aIK2fPkzi0dFRdk6W06jVq1aeOWVV8qdfvbs2eUa1+EKXnjhBVG3+tKEhobipZdequQckblmzZqFoKCgcqVt2bIlRo0aVck5IiIicm3u7u744IMPyl05Pm7cOKefeJaosjl9MJ+SkoJr166ZLBeWX5P31Vdfidb4Pnz4MA4cOICoqCjUq1fPpnl1NqNHj8bMmTOLrSnN5+bmhnfffRcDBgywYc7sS6VS4fvvv0dERESp6Ro3bowffvgBPj4+NsoZlVdwcDB+/PFHhIaGlpquffv2+Prrr+Hm5majnBEREbmuTp06Yf78+VAqlaWmGz9+PKZNm2ajXBE5L4nggHP6r169GidOnACQN8HY+fPn0aZNGzzyyCMAgJ49e6Jnz54AgAULFmDhwoWYNm0apk+fLjrPnDlzsHr1aoSFhaFbt25ITk7Gtm3b4O7ujj/++ANhYWG2/cNKIQgCUlNT4efn53BjP+Lj47FmzRps377dWGkSHByM/v37Y9iwYahRo4adc2gfer0e+/btw+rVq3Hy5Eno9XpIpVK0bt0aw4cPx2OPPVapE7Y4cplxFhqNBjt27MDatWtx/vx5CIIAhUKBDh06YPjw4ejUqZNLvbcsM2QulhkyF8sMlUdKSgrWr1+PTZs24fbt29Dr9fD390evXr3w1FNPOdQzOjke3mcKOGQwP3v2bKxfv77E/YUD99KCeYPBgGXLlmHlypWIjY2FUqlE+/btMXPmTIdrlXeGQikIAnJzcyGRSODu7m7v7DgUg8GA7OxseHp62mxstTOUGWei1+uRk5Nj08/Q1lhmyFwsM2QulhkyV25uLpKSklCzZk2X/f0l6+J9poBDBvNVEQslmYtlhszFMkPmYpkhc7HMkLlYZshcLDMFWP1FRERERERE5GQYzBMRERERERE5GQbzRERERERERE6GwTwRERERERGRk2EwT0RERERERORkGMwTERERERERORkG80REREREREROhsE8ERERERERkZNhME9ERERERETkZBjMExERERERETkZub0zQK7t6tWr2LJlC2JjY2EwGFCzZk306dMHrVq1gkQisXf2iIiIiIiInBKDeaoUd+/exYcffoijR4+a7FuzZg0aNWqE9957D40aNbJD7oiIiIiIiJwbu9mT1SUkJGD8+PHFBvL5Ll26hEmTJuHMmTM2zBkREREREZFrYDBPVmUwGPD666/j/v37ZabNzs7GrFmzkJmZaYOcERERERERuQ4G82RV0dHRuHTpkmibr68vRo8ejfHjx6NmzZqifSkpKdi8ebMts0hEREREROT0GMyTVW3YsEH0ulatWli/fj1effVVTJ06FWvXrkXLli1FadavX2/DHBIRERERETk/BvNkVRcvXhS9HjNmDHx8fIyv3dzcMGnSJFGa69evQ6vV2iR/REREREREroDBPFlVbm6u6HXRbvVAXmt9URqNptLyRERERERE5GoYzJNVBQYGil7v3bvXJM3ff/8teu3h4QFPT8/KzBYREREREZFLYTBPVtWtWzfR682bN+OXX36BWq2GVqvF5s2bsXjxYlGaRx99FFIpiyIREREREVF5ye2dAXItQ4YMwc8//wy9Xg8AEAQBCxYswMKFCyGTyaDT6UyOGTFihK2zSURERERE5NTYHEpWFRwcjMmTJ5tsFwSh2EC+X79+aNWqlQ1yRkRERERE5Dosbpm/evUqfv/9d5w9exYZGRnGltjCJBIJdu3aVaEMkvMZP348MjMz8euvv5aarmfPnpgzZ46NckVEREREROQ6LArmjx49ikmTJkGj0UAulyMwMBAymcwknSAIFc4gOR+JRIKXX34ZHTt2xPLly3HgwAFRWWjVqhVGjRqFxx9/HBKJxI45JSIiIiIick4WBfNffPEF9Ho95s2bhyFDhhQbyBNFRUUhKioKDx48QHx8PAwGA2rWrInq1avbO2tEREREREROzaJg/uLFi+jXrx+GDx9u7fyQC/L394e/v7+9s0FEREREROQyLJoAz8vLy2Q9cSIiZ8ehQURERETkLCxqme/WrRuOHz9u7bwQEdlctk7AtRQtUnMNUGsFKBUS+LlL0SBAAU8553QgIiIiIsdkUcv866+/joyMDMybNw/Z2dnWzhO5KLZ6kqNJzNLjcHwOEjL1UGvzyqdaKyAhM297YpbpKh1ERERERI7Aopb5GTNmQKlUYtmyZVi3bh3q1q0LlUplkk4ikeCXX36pcCbJebHVkxxVtk7AuUQNdCXUMekE4FyiBh1DPFhWiYiIiMjhWLw0XT61Wo0LFy4Um47LjlVtiVl6k2BJrRWg1uqRmKVHRLAbgr24EgLZx7UUbYmBfD6dkJcuItjNNpkiIiKqgth7k8gyFs9mT1QatnqSo0vNNVg1HREREZWfsfdmjgH3U/WolpkLPw/23iQyh0XBPFFZ2OpJjkxvEIxj5Mui1grQGwTIpHywICIisgZR700hf84aA9Q6gb03icxg0QR4RanVaiQmJkKtVlvjdOQC2OpJjszcznzs/EdERGQd5e29mV1WqxARWd4yr9Vq8b///Q/r169HXFyccXtISAiGDh2KCRMmwM2NLa5VEVs9iYiIiKg47L1JZD0WBfM5OTkYP348Tp8+DZlMhrp16yIoKAjJycmIi4vD119/jb1792Lp0qXw8PCwdp7JwbHVk4iIiIiKw96bRNZjUTC/ePFinDp1CgMGDMCsWbNQo0YN47579+7hiy++wKZNm7B48WJMmzbNapklIiIiIiLnxN6bRNZl0Zj5rVu3IiIiAp9//rkokAeA6tWrY/78+YiIiMDWrVutkklyLFw+hIiIiIjMxd6bRNZlUTB/+/ZtdOrUqdQ0HTt2xO3bty3KFDme/MlKDsTn4K8bOTgQn8PJSYiIiIiIiOzEom72np6eSElJKTVNSkoKPD09LcoUORbR8iEPqbUC1Fo9lw8hIiKyEUEQIJGwyzEREeWxqGW+ZcuW2Lp1K65cuVLs/qtXr2Lbtm1o1apVRfJGDoDLhxAREdkPe8YREVFJLGqZf/HFF3Ho0CEMHz4cw4cPR1RUFIKCgpCUlISjR49i3bp10Ol0eOGFF6ydX7IxLh9CRERkH+wZ5xo0Gg0uXbqE9PR0KJVKNGrUCEql0t7ZIiIXYFEw36ZNG3zxxReYM2cOli1bhuXLlxv3CYIAb29v/Oc//0Hbtm2tllGyDy4fQkREZHvl7RnXMcQDnnJ2vXdEKSkp+P3337Fx40akpaUZt3t4eOCJJ57A2LFjERISYsccEpGzsyiYB4A+ffqgS5cu2LVrF2JiYpCZmQmVSoUmTZrg8ccfh0qlqlDGzpw5gwULFuD06dPQarUICwvDuHHj8OSTT5b7HOnp6ViyZAl27dqFW7duwc3NDXXq1MGQIUPw1FNPwd3dvUJ5dHVcPoSIiLiCiX2wZ5xzu3z5MqZPn47k5GSTfTk5OVi/fj22b9+O+fPnlzmpNBFRSSwO5gHAy8sLgwYNwqBBg6yVHwDAkSNHMHHiRCgUCvTv3x/e3t7YuXMnZs2ahdu3b+PFF18s8xzp6ekYOnQo4uPj0bZtW4waNQoajQb//PMP5s6di7/++gtLliyBVGrRtAFVApcPMR8nJyIiV5CtE3AtRYvUHAPup+pRLTMXfh5SNAhQsBXYRtgzznklJiZi2rRpZU4WnZOTg1mzZmHx4sVo2rSpjXJHRK6kQsF8ZdDpdJgzZw4kEgmWLVtmvLlNnToVo0aNwoIFC9C3b1/UrVu31POsXLkS8fHxeO655/DWW28Zt2s0GowePRrR0dE4ceIEoqKiKvPPoSrA+NCba4BaK0CpkMDPnQ+9ROScROO0H7bKq7UGqHUCx2nbCHvGObeffvqp2EA+ICDAZLtGo8GXX36Jn376yVbZIyIXUq5gfsOGDQCAnj17QqVSGV+Xx+DBg83KUHR0NOLi4jB06FBRLaVKpcKUKVMwc+ZMrFu3Dq+++mqp54mPjwcAdOvWTbTdzc0NnTt3xtmzZ4vt+kRkDk5ORESuhOO0HQN7xjmvjIwMbN++XbQtIiIC77//PurVq4fExER89tln+Pvvv437T506hatXryIsLMzW2SUiJ1euYH727NmQSCRo2bIlVCqV8XVp8rsbmxvMHz16FADQpUsXk32dO3cWpSlNw4YNAQD79+8XjUXSarU4dOgQPDw80Lp1a7PyRlQYH3qJyNVwnDYVxqFj5jtx4gRycnKMr6VSKT799FNUr14dABAcHIx58+bhySefFLXSHzhwgME8EZmtXMH8xx9/DIlEgmrVqgEAPvnkk0rL0M2bNwEAjzzyiMk+X19f+Pv7IzY2tszzPPXUU9i4cSN+/vlnnDt3DhEREdBqtdi/fz/S0tLwxRdfGG+sxbH1hD/513OkiYYEQTB2sSxv+rxDLDvO2VxL0UBnKD3jeQ+9GjSrZv2HXkcsM86iqpTRolhmqCypOQbRdyP/n4IASAq1/6bmGFiOKpE971HZOgHXH2iRmiNArTVAqZDCz0OC+v7lGzpW1e8zRXt9NmzYEMHBwaL3w83NDZGRkdi5c6fouNLeM1epWCmubJd0n8lPX0WLEpWiqtxnyvOdL1cwP3ToUNHrIUOGWJajcsjMzAQAeHt7F7tfpVLh7t27ZZ7Hw8MDv/32G9577z1s2rTJ2JovlUoxZswYtGnTptTj09LS7FJACi9dYm86g4CsLH2506em5kAulVh8nLO5laRHdllNWABu5UpQW1F5Xe0dqcw4i6pSRkvCMkPF0RsE3E8t/nuhVmeJXmcBSPZSc5x2JbHXPSop24CYZAP0hX7asgDcB3D9HtAkUIogz/JNHFxV7zN6vR56fcFnFx8fj6SkJMjl4kfu69evi9IJgoDU1FRRmhydgJvpBqTl5lWyeMol8HUH6vpI4eGkPf5KK9tF7zOA6/3+knW5+n3G39+/zDQWTYB37Ngx1K5dG7Vq1Soxzd27dxEfH2+3CeZSUlIwZcoUpKSk4Mcff0SbNm2Qm5uLPXv24D//+Q/27t2LtWvXwtfXt9jjS9peWQRBQFpaGnx9fR2m5lVnEOCVmlN2wof8/DyMwbwlxzkTvUGANCUHXuVc3dDbx8PqD72OWGacRVUoo8VhmaHSFPe9EIS8B2yl0gtFi4yvi3wvHJE97lHZOgFxqbnwUJZcSR2XK0Htau6lttBX9ftMZGQkZLKCCny1Wo1NmzZhwoQJxm179uzB1atXRenatm0LPz8/4+vELD0upGqhhwCpO4zPGxkALmRKEFFN4ZRz8ph7n3GV31+yrqp+nynMomB+7NixmDp1KqZNm1Zimk2bNuHLL79ETEyMWefOX58+IyOj2P2ZmZklttoX9p///AenTp3Cxo0b0bhxYwB5rf0jRoyAXq/HBx98gF9++QUvv/xyscfbq2BIJBKHKZQSSf7/lDe95OF/lh3nVMz8G1GJf6NTvn92ViXKaClc7e8h6yjue5Hf5bXYfSxHlcYe96jrD7R5LfKlnEcvANcf6Mo1X0JVLR/169dHq1atcPr0aeO277//HgcPHkTbtm1x6dIlHDp0SHRMYGAgunbtany/snUCzt8v+fPQC8D5+1r4eMicbk4e3mfImlg+AIsWWS9P93NLx/bkLzlX3Lj4tLQ0PHjwoNjx9EXt27cPfn5+xkC+sA4dOgAAzp8/b3b+iIicmauPLyMiy3Bde+sp3Aqf78yZM1iyZIlJIA8A48aNE3XDN2ciSiKq2iwK5svj5s2b5WpBLyq/W/6BAwdM9h08eBAA0K5duzLPo9FokJmZCY1GY7Ivf/ZQNzfOxEtEri9/5YWD8bnYd0uPg/G5OJeoKdecD0Tk+ixZ155K1qlTJ0yZMqVcafv3749Ro0aJtrFihYjKq9zd7N966y3R6927d+P27dsm6QwGA+7evYvjx4+ja9euZmeoY8eOCAkJwZYtWzB27Fg0adIEQF73+u+++w5yuVw0AV9KSgoePHgAf39/BAQEGLe3adMGBw4cwHfffYcZM2YYt2s0Gnz33XcAgPbt25udPyIiZ5KYpS9YQvFhq7xaa4BaJyAxS4+IYDenHHdJRNbDde2tb8KECQgODsaCBQtMZrgHAC8vL4wbNw7PPfccpNKCtjVLKlY4ESVR1VXuYH79+vXGf0skEsTExJQ4Hl4ikaB58+YmFQDlypBcjnnz5mHSpEkYPXo0BgwYAJVKhZ07d+LWrVuYMWMG6tWrZ0y/bNkyLFy4ENOmTcP06dON22fNmoVTp04ZxynlT4B34MABxMfHo1mzZnjqqafMzh8RkSMoz1Cm/Bb5khrgdQJwLlGDjiEeTjfu0lG4ynJRRGR9AwYMQN++fbF3714cOXIEaWlpUCqVaNWqFXr37g2lUmlyDCtWiMgc5Q7md+/eDSDvwaVnz54YN24cxo4da5JOJpPBx8en2BtUeXXo0AHLly/HN998g+3bt0Or1SIsLAyvvPIKBg4cWK5zNGnSBOvWrcOiRYsQHR2NZcuWQSaTITQ0FNOnT8fEiRPh7l7OqciJiOwsOTkZq9aux/Zde5GUnAKpXIH64Y3R/8nBePKx9lAqTEdNmTPusjwTWlGebJ2AaylapOYaoNYKUCok8HOXokFA+dbhdnQ52Woc/2cnTvyzCymJd6E3GFArtB7a93gCLTt0g1yhsHcWi8WKFXJEcrkcPXv2RM+ePQGwnBKRdZU7mK9du7bx35988gmaNGki2mZtLVq0wOLFi8tMN336dFGLfGF169bFJ598Yu2sERHZjCAI+OWXX7Dgu++Rma0VtcIkJsQjeu9fWNKoGb74bD6a1aspOpbjLq1PNGzhIbVWgFqrd4lhC/9G/4NlCz6BOjPduM1gMCA16R4unIxGQHANPPfaB6jfuLkdc1nA1StWyDWwnBJRZbFoArwhQ4YUO0s8ERFZ17fffotvFiw0CeQLu37pPCZNmoi4O4nGbZzQyvrKO2zBWScW3L1rFxb/521RIF9USuJdLHj3FVy/eNaGOSteYpYeh+NzkJCpN5Z1tVZAQmbe9sQsfbnOwxUeqDJZq5ySY3Cm+4Uz5ZUsZ9E68/k2bdqEDRs2ICYmBhkZGfD29kbTpk0xePBgPPnkk9bKIxFRlXTs2DEsXboUuXqhzHGRyYl38c77c/HbjwsAcNxlZXDlYQtJSUmYO/fDcj38aTW5WPLZexjbYyPkHvYZrlbR+SDYUkq2wHlLXIMz3S+cKa9kHRYF8xqNBlOnTsWBAwcgCAI8PDwQHByMlJQUHDx4EIcOHcLmzZuxcOFCLv/mwDhui8ixLVu2DACgL9QLvt1jfdE8qguSE+9g7+ZVSE2+b9x3LPoQYmNj8cgjj9g6q1WCKw9bWLduHbKzs0Xbwlu0RYceTyAjPR3H9m7HretXjPseJCViz+7dGNC/n62zCqBiFSuuPlSCHIcrVwBWFc50v3CmvJL1WNTNfuHChdi/fz86deqENWvW4PTp09izZw9Onz6N1atXo2PHjti/fz++/fZba+eXKii/lvhAfA7+upGDA/E5Tt0tlMhV5VeOAoDhYWvpoLEvYeyMd9G682PoOWQ03vjvz/D0UhmPMQgCNm3ebJf8ujpXH7awZcsW0etWHbtj+odfo133vujweH+8Pv8nhIY1KXKM/cqapRUrrj5UghyLK1cAVgXOdL9wprySdVkUzG/evBnh4eH46aefEBERIdrXvHlz/PTTTwgLC8OmTZuskkmyDo7bInIesbGxEISC7vUSqRSP9h8mSuPjF4DIbr1F227cuGGjHFYtrjxsQaPRICEhQbTtsUEjRT23ZHI5Hu0/VJQm9masTfJXVEUqVsxpKSWqCFevAKwKnOl+4Ux5JeuyKJhPTk5Gt27dIJUWf7hMJkO3bt2QkpJSocyR9bDGjpxRVZ68xWAQt9TIZHLIFabdMD08xMuAFj2OqCx6vWlFrruHp8m2omWtuONsoSIVK2wppcIq8zfGlSsAqwpnul84U17JuiwaMx8aGorU1NRS06SlpSE0NNSS01Ml4LgtchacvCVPzZriZeZ0Wg1OHdyDyEd7GbdpNRoc3/+XKF2NGjVskj9yHR4eHvD19UVqWppx25E921FnYkNRuiN/bxe9ru5kZc2SllKZtOrcc6oK/saUT1WfV8mZ7hfOlFeyPouC+bFjx+LTTz/Fc889hwYNGpjsv3r1KrZu3Yq33nqrwhkk62CNHTkDTt5SoFatWmjWrBnOnT9v3Lbiu/lIT01By/Zdcf/ubfy5cike3L8nOq5X7z62zio5OYlEgj59+mDlqlXGbXs3r4JEKkXHHv2QnpaKI7u34uzRA6LjevfuXfRUDo0tpcTfmNKxoqOAM90vnCmvZH0WBfP16tVDVFQUhg0bhkGDBqFt27YIDAxEcnIyjh8/jk2bNqFjx46oW7cujh07Jjo2KirKKhmn8qtKNXa5ubnYs2cPYmJikJOTg8DAQHTt2hVNmza1d9aoDFzCx9TIkSNx7r33jK9zs9VY979vsO5/3xSbvk79cLRo0cJW2SMXMnz4cKxavdr4WhAE7NmwAns2rIDBYDAZVufuqUT/AQNsnU0TmtwcnD60F/HXL0OryYWPXwBadHgUdeo1LPtgqlL4G1M6VnQQOSeLgvlnn30WEokEgiBg5cqVWFWoNj9//NHevXuxd+9ek2NjYmIsyylZrCrU2BkMBixduhS///470tPTRft++uknNGvWDK+99hoDHQfGoSCm+vbti51//YVtu/aVmdbNwxNjpr9VpbtFkuXq16+PSZOex38X/lCu9CMnvwYfH59KzlXJ9Ho9/ly5BHu3rEZ2VqZo37Y/fka9xhEYPmkGHmnYpIQzUFXD35iSsaKDyHlZFMxPnTqVD4zkMPR6Pd566y3s2bOnxDTnz5/H5MmT8emnn+LRRx+1Ye7Kp6qPTQM4FKQ4UqkUH338Ce5kz8GpgyWXb5WvP55/62OE1A+3Ye7I1UycNAkXkzTYvnJJiRODyRVuGPnia2j3WN8yz1dZ9zWdToefPnkL544dLDHNjYvn8OVbUzD5nU/Ro67j3fPJ9vgbUzJWdBA5L4uC+enTp1s7H0QWW7RokTGQNwhArl6A3pC35rZUIoFMCrjLJNBqtXjrrbewYsUKh5ickWPTClSloSDmcnd3x4TXP8SlPgPxz9Z1uHDyMHTavKVlgmuFoFPvgejYcwC8vO3XSkquQSKRoN/TE9GyY3f8s20tTh7YbWz19vb1R/se/dD1icEIrF6rxHPY4r727bcLSw3k8+m0Giz+9B0M7bAKIbVLzjO5vqr8G1OeSjVWdBA5L4uCeSJHkZGRgeXLlwMAdAYgW2uAAKBhRGsE1qiFi6eOIjX5PnR6AZ4KKZCbi99++w3vvPOOXfPNsWliVWEoSEVIJBI0bhmFxi2joNfrkZ2VAbnCDR6eyrIPJjJT7boN8PSUNzDyxVnIzsxAdnY2AqsFQ1LCcrT5bHFfS01NxepCQ/vyhbdoi4DgGrhwIhrpD5KN23Oz1VixfBneeP31Cl2XnFtV+40xp1KtKld0ELmCCgXzFy5cwJYtW3D9+nXk5ORg6dKlAIDbt2/j33//RadOneDn52eFbFJVVlqt8vbt25GTkwODUBDIv/TeF2jWtgMAQKfV4pcvP8Spg3uQrTXAy02K7du3Y+bMmVAqiw+EKrvLO8emUUXIZDKofPzsnQ2qAqRSaV6PD6mszHuire5rW7ZsgfZhzxQgr6Jr+odfI7xFWwB5yzX+/Nm7opn3t2zZghmvvAKpXGHxdYmchbmVas5e0cFhilTVWRzMz58/H0uWFIyrK/xFEgQBs2bNwptvvolx48ZVPJdU5ZS3Vvns2bMA8rrWCwCat+9qDOQBQK5QYNjEl3Hq4B4ID9NJc3Jw9epV0WR4tuzyzrFpRORqbHVfO3PmjOh16y49jIE8ACjc3DB80iuiYD4rKws3btxAg4bWnVOCQQQ5mqrSWMBhikQFSu8zV4K1a9fi559/Rvfu3bFp0yZMnjxZtL9OnTpo0aJFqROSEZUkMUuPw/E5SMjUG7t+qbUCEjLztidm6Y1p1Wo1AED/cBhXrUfqm5zPL7AalCofUbqsrCyLrmcNHJtGVLaSJmAjx2Sr+1p2drbode1HGpikCaxeCwo3d9G2wvf8Cl3/YbB0ID4Hf93IwYH4HJxL1CC7rJoMKhd+7yvGnEo1Z2XrZzYiR2dRML98+XI0aNAACxYsQHh4OBQK065r9erVQ2xsbIUzSFVLeWuV8x+c8odxGB4+AFw+c8LkmFs3rkCdmS5Kl3+cuderKEvGphFVFQyUnJMt72u+vr6i15eKueffvHQeWk2uaJs1hvwxiKgc/N5bj6s3Ftj6mY3IGVgUzF+7dg2dOnWCXF5yL/2goCAkJyeXuJ+qFkEQylXjbm6tcocOHUTjt25cPIetyxdDq9EAABIT4vH7Nx+Ljg8ICETDhg0tul5FOfvYNCoZW5QqhoGS87Llfa1jx46i15fPnMCO1b8Y7/l342/i94WfiNLUqF4DdevWrcBVGURUFn7vracqNBZUhZ4HROayaMy8TCYTTUBTnMTExBInGKOqITlbjxMJGsQkaZGeK0CAAC+FFA0D5Iiq5Y6a3qazGptbq9y9e3cEBgQi4859477tK5dgz6aV8A8Kxr1bsSZB1qDBg40VUa5ei02Vi+P2rKOqjPOkiuvVqxe++O9/kZH4wLht8+8/4q91y+DjH4jE23EmxwwZOhRSqRSGCgQvnOvE+vi9t66q0FjAZzYiUxa1zIeHh+PIkSMwGIr/smRnZ+PQoUOIiIioUObIOWVrDVh3UY2FRzNw+FYuUnMMMAgCBAHI1Bhw6q4GP57MwK9nMpFe6IZrSa2yQqHA9JdfNtmfm63G3fibJoG8f7XqeHr0aIuvR5SPLUrWw9YWKi83NzdMnTrNZHuOOqvYQD6oRm2MGDmywte1dhDBnjz83pN5+MxGVDyLgvlhw4bhxo0b+OCDD6B52LUtX2ZmJmbPno2kpCQ89dRTVskkOQ+11oC3/07F2XuaMtPeeKDDz6czce9h0GNprfIT/fph0LgpZab3C6yGqe//Fz4+PhW6HlWuuGuXsGrRf/HV21PxxZuT8b/57+LEgd3QldEbyJbY5da62NpC5hg0eDD6j55UZrrA6jUx5f3/VriXoLWCCI4NF+P33jVVVkUVn9mIimdRN/vhw4fj8OHDWLVqFbZs2WIMjoYPH45r164hOzsbQ4YMQd++fa2aWXJsgiDgPwfTcSVFV+5j0nIM+L99aVj4RACkFehF12voGIQ0CMdfa3/HpX+Pi/Z5eqnQvkc/9B7+LHz8Aiy/CFWq1KRE/PbNRyafHwCcOrgHvgFBGD11NppFdizmaNtil1vrsSRQklXkZkEu4YmR4xEa1gS71v2OK+dOifYpVT7o0LM/+gx/Fl7eviWcofysEUSYu/a3q+P33rVwyBmR/Vi8zvwXX3yB9u3b4/fff8eVK1cgCALOnTuHBg0a4Nlnn8WoUaOsmU9yAmcTtTiWIJ5BWC6VILKWG5oEKSCTAFcf6HD0tgZqbUFNe1y6Dn9dz0afBp4Vun7jllFo3DIKSXdvI+7aJWg1ufD2DUCDpi3g7lGxc1tbyv27OLhjI2JOHUVmeircPDxRL7wZuvQdjEcaNrF39mwuMTERX8x+EQ/u3ysxTVpKEn746A089+r76FF3gA1zZ4otStbD1hayVLO2HdCsbQckJsQj/vpl6LQa+PgFokHTlnBzdy/7BDbCseGm+L0vW1pKEg7u3ITzxw8jIy0Fbu4eCA1rjM69B6J+kxaQSByjrLCiisi+LA7mAWDEiBEYMWIEcnJykJaWBpVKBS8vL2vljZzM1qvi9X89FBJMbKVCkLLgJl7bR47Imm74+XQWUrILxhRvvZKN3vU9rJKPoBq1EVSjtlXOZW0GgwEbln6H3RtXQCgy58TduBs4vGsLmrbpgHGvvg8vbx875dK2BEHAe+/OKTWQN6Y1GPDb1x9hdI/WeCSkjg1yZ4otSkSOJbhWCIJrhdg7GyViT57KJwiCwwS3FSUIAravXII/Vy2FXifu6Xg3/iaO/v0nwpq1woTXP4SPf6CdcpmHFVVE9mfRmPmiPDw8UL16dQbyVViuTsDhW+JW+UdDPUSBfD4vNyn6NhAH7jdSdbiZ5toThgmCgI8/modd65eZBPKFXTgZjW/mTEd2VqYNc2c/Fy5cwKlTed1kBUigr94UQscJCHzmK1Sf8APc+rwBXf1HISjyelfotBqsWrXSbvllixI5K066Zh/syVM5XHUOgq+++hJbly82CeQLu3r+NL58awoy0h6UmMYWOIkhkf1Z1DJ/4sQJ7Ny5E5MmTUK1atVM9t+/fx+LFy/GE088gVatWlU0j+QE8masBwrXu7aqrigxfYMAOZQKqai7fUKGawfzO3bswObNm8uV9vbNq9jwy3foP/+9Ss6V/W3cuBEAoAuJhK5RH0h8glEzpB6kMhkMAHz8QqANagh10/6QxR6B4sIWbNu6Fa/OmAGZjF33iEpjyVjW9FwDTt7R4EqKFpkaAXq9HgHKTDSp5oZW1RXwVFilHaBKcJSePK7Ucg24btfugwcP4o8VK8qV9v6dW1i16L8Y9N1nlZyrkrGiisj+LArmly5dikuXLuGtt94qdn+1atWwd+9e3Lt3D1999VVF8kdOQlekxUcqkZT6wCeVSODlJoG6UGWtRu/ctemlEQQBv/32m2ibRCpFp15PonHLKNyJu469W9ZAnZlu3H9kz3akpr6MoAB/W2fXpi5fuYKsRv2hrdsdAODt4ycK0iUAfAOCoM5Ih75eZxgC6iL1xE+4d+8eatWqZZ9MEzkBcwMetdaADZfUOHNPg8K3dL1BQJZOj/j0bOy5kYN2td3Qo651hkW5Onv25HHVSclcuWv3smXLTLa17/EEmkV2wv07t7B382pkpKYY950+9DcSEhIQWsf2QwsdpaKKqKqzqHr97NmzaNu2balpIiMj8e+//1qUKXI+RX8wDYKAhIySu4hlaQxIUotb4r3dXfcmf+3aNVy6dEm0bcy02Xh6yhto3fkx9Ht6ImZ99iOkhYJYnVaDv3butHVWbe6Wqimy6z9mfC2Tm9YxymQF2wTf2shoOx45mvKvmkBU1Zi7fGJ6rgFv7k7Fv3fFgbzJcQYBh+JzseK82qUrYJ1dYpYeh+NzkJCpNwZcaq2AhMy87YlZztsTzhG6dlfGkJV79+7h6NGjom1DJ76MZ1+Zgzade6DP8LF484v/wc29oCJNEARs37bN6nkpDw45I3IMFgXzycnJCA4OLjVNUFAQkpOTLcoUOR8/DykCPcXF6WB8bgmpgSO3xQ+McqkEjQJK7pbv7G7euCF67eXjh3aPPSHaFlwrBM2juoi23bhxvdLzZk8p2Xrcq91NtE2dmYEaKhker+eBfg090bSaAtmFeiwAgM6/Lk5netsyq0ROxZyAR28Q8OE/qbiRWv4KsmspWiw4llHBXFJlMLcix9nYq2t3ZY/Rv3nzpui1XOGGrn2HiLb5BQWjTdfHixwnfr4goqrFomDex8cHd+7cKTVNQkIClEqlRZki5yOVSNC3yNJyF+5rseNaNnIL/dDpDHkT5R2IzxGlffQRd3i7u+44TEORCe/cPTwglZr+ve6e4vew6HHOqqRWjJ3Xc6DyEa8DbTj8C3yO/oAIZTpaBUlQJ+FvaDe+A0lOmjGN0ssLO2MNnNCLrMbVypI5Ac8/cbk4f1/ciimTStCmphueaqrEwPpyNK2mEE+KAuDvmzm4mMSJrRyNI7RcVxZLunZbgy16Ouj14nPIfKph/209fvk3Ez+cyMD/TmVi/UU1slUholZuV3lOICLLWDRmvlWrVvjrr79w584d1KxZ02R/QkICdu3ahQ4dOlQ4g+Q8+jbwwJoYNXILdb2MvpWLk3c0aOAvh0wqwY1UHbI0pj88g8Jdu+Kneo0aotcpiXdx5dwpNIxobdymzszA2aMHxcdVFx/nTMoarykIAv68lg0fX1/cS0yEwaCD7NYJyGMP42AscPDPDaLzKf5dDU37SQCAAH9/xKbpcClZh8ZBrtujgyqXq44pNjfg+bPIsqLe7lKMa+mFQE8ZIAjIytIgMlSJ+Aw9fjuTBW2he/zWK2q80r5qLKPpLFx5UjJ7dO221Rj9Gg+fE/TuvtC0GITsmhHYGZMMTy+VMU1cmoA70iYw9JgNxflNkN27YPJ8QeRsXG2CTluzqCl0/PjxyMnJwdNPP40NGzYgMTERAJCYmIj169fj6aefRm5uLiZMmGDVzJJj8/eUYXo7067PGr2AmCQtziVqig3kRzZVIjzQtQOy5s2bG3+o8/382Xs4vGsLHiTdw/kT0Vj4/gxkZ4m7rfbs1cuW2bSa8rRiZGkF3MvUQyqRGN8b2c1DJZ5Teu8iJDmp8FR5Q+WdV86uPah4y1JGrgEH43Ox4aIaqy9kYdNlNU7e0Yh6lJDrceUxxeaU3GS1HheKtK73ru+RF8gXEeIjR5cQd9G2fXG5yLHyd8XVeknYkr1arl2ZrXo61KtXD7WbRiKt08vQ12wOQILkxDvISE+FTqdFTrYa9xPiodfpIKiqQdN+InT1uqBXr94Vui6RPbjq0pL2YFHLfGRkJObMmYOPP/7YOKO9RCIx/gBLpVK88847iIqKsl5OySn0rOeJbK2ATw+llTqJUr5OIe54prlX5WfMzqRSKZ566il8s2CBcVtGagqWLfikxGOate2IkJAQW2TPqsrbilG4AsfHxwcBwTWQnXW/xPNKICBIKYN79YIZ7Mv70FqcZLUee27m4GKSDoYihfXUHQ12XJOgdQ03dHvEvYQzUHk4Yo27K8+Gba776iJDgOQSNCmlt0ubmm74+2bBMCmtPq9SrqJctZeErXFSMuuzVU+HdI2AnE5TYbidDDysZDHo9XiQeBclrSYvaTcayV71KnRdR6AzCNDoBSgd8PeCrM9Vl5a0F4uCeQAYM2YMoqKisGLFCpw9exYZGRnw9vZGixYtMGrUKISHh1szn+REngjzRKJajwNxubiSoi02qH/ET45OddwRHqioMjfup59+Gnv+3ovDJ8pe5cHL2xfDn59R+ZmqBOVtxbhTZLUDlY8fRn34Ey7vWYlje3dAk1sQMDRs3gaPPjEMf8vaIKPQA5NSUXzZKSuAPJuowU+nMkttfdfoBRy5nYsrKTpE1nRHbR+Lb5dVjqMHZua0tEUEu9kmU3aiLdIy6+MuLXX5KJVb3v7CLbo5FZzVng925KhsufzaqvNZkPgEwys1BxkZmQ8zoIHs1klIU25C8PCFPiQSgqoagLzlbQOq1cAPJzLRKcQDzrbqW2KWHscTNDh/Xwu11gC9wQAPeQYaBMgRWcsN9fzkkFaR58OqhJXp1lehp9Pw8HC8//771soLuZAQHzmejpAjNceAi0lapGsMEIS8B8GGAfIq+WDm5uaGL7/6Cs9OeQ1Xzp4sMZ1/tep48Z35qFazjg1zZz3lbZ3I0QuorpKJWvVuCtXw9JQ3MHzSDCTfS4Bep4NvYBBUPn64nKxFxrks0TnCCq2AUN4A8voDLT78J63c3ehTsvV4d18qvu4dUCmTNDpiy3VFOENg5spjis3lLhOXvZRsA3J0AjxKeIhKUutNumZ7lVCpVh58sCNHZqueDhq9gF03ciABUKdOHdyMu4WchItwP/wTJJpMYzr5lV3QNeoDQ7N+qFajDtzc3JGaa8Ch+Fx0CXWOXmTZWgNWX8jChfumwxK0BgEXk7S4mKRFdZUMw5u49nxKVREr062PTU1Uqfw8pOhQxzl+YGzBx8cH0z/8GmeO7Mf+7etw+exJCA9noq31SAN07jMI7Xs8AQ9P5/wBM6cVI1sH9K7ngd/OFgTo5xI1CPWVIbKmG2qE1DVuT8zSY8sV8SRddf3kCA+QG/eXJ4AUBAFfH80wGZOlkEnQKFABfw8p7mTqce2BuEdJQoYey85l4cW21lkOz9Fbri3lDIGZLVvanEEtbxmkEhjLu94g4MQdDTqHFH/fjr4lXnLU212KmioZLqeUf1m7wvhgRwTEJGmRpRUgQd6wvGo166B33WyczmqBi6ePQq/L+35Vrx2Kzp3Dca1WA9xRF9yX/ryW7RTBvFprwNt/pxYbyBd1L1OP/53ORFQtdzR04aWLK0N2VibSU1Mgl8vhF1QdMpnjNKCxMt36KhzM37lzB4mJidBoNMXu57h5IjGpVIpWHbuhVcdu0Go0yFZnwt3DE+4enmUf7ODMbZXo3cATf1xQQ1Oom+62K9k4nqBBs2oKuMvzVkC4nGw6XOPJcCUkEolZAWRcWt65CgsPVGBQI08oFQWt7klqPVZdUON+oUnQdl7PxrgWXlDIKhbYOUPLtaWcITDjmGIxlZsUHWq743ChIP3vmznw85CgaZDCuBqdQRBw9LYGJ+6If+v71PeoUGUHH+yIYDLvRF0/OTq2jELHDlHQabVQZ2XAzd3DWNEfdE+DDRfVxvTXHlhWmWZLgiBg/qF0XDGj4i9HK+CDfalY1D+wxN5ClEcQBJyK3o/tB08hNs0AuHsBBh3c9dmIquuP/v36IrDQnEP2wMr0ymFxML9nzx7Mnz8fsbGxpaaLiYmx9BJELk/h5gaFW4C9s2E3fh5SjG+pwqKT4ln8E7P0pc4m3iRIgd71PQCYF0D+dSNHtN3bXYrhTZQmAXqQUoYRTZX47niGsRIhWytgb2wuej28riWcoeW6IhiYOacnwz1FwbzeIGDNBTWqeckQ5i9Hdq4ONzMykZoj/txkEqB/Q8t7EfHBznVxRQLzaIrMOxGkLKjQlSsU8PETPycEeYqHfFl7RYnKcDFZhyO3xT173GQStKvtjqZBcuhysnFHo8DhWxrRvSY524CtV7IxjF3uS5SelY153y9DLKpD8G8P+BfsUwPYZwAO/rYPQyIfQd/uneyWT1amVw6LBoAeOXIE06ZNg1qtxpgxYyAIAiIjIzFixAiEhYVBEAR069YNU6dOtXZ+iciOKuMBbXAjT4xoWv4f6VreMrzb1Rfyhw/15gSQF4sswdW2pluJLe1BShka+Iu79hU93ly2WuLIHrgklvNqHuyGJ8JMewbdz9Lj8K1cnLhnMAnkAWBsCxVqqCzvRcIHO9eSX1l5MD4X+27pcTA+l0tNlZNbkcrbspbGTCyyCoVnBeatsJVtV8VD5TzkErzQRoXH63mgpkqGAE8J2tVyx4ttvVHLW9zWuPVqtsmqM5QnM1eHQV/9jZvuYRDcSx4KqPOvh9XXJNh44KwNc0e2YFEw/+OPP0KpVGLdunWYM2cOAKB9+/b4v//7P2zatAkzZ85EdHQ0Hn/8catmlohsr7LXApVIJBjbQoWhTZTw9yz5lqSQSdC+tjvGtVTB5+FEdOYGkFka8QNQrTICkVre4v1Z2oq1KLtyyzUDM+c2NdIbj9Utf6+TrqEeGNrY+YcGkXUkZulxOD4HCZl6qB/eJ9VaAxIy87aXFZxWdTWL/BbFpelKXPJREAQcSxC3cOfPH+OodAYBB+LEee4c4o5ApelvsLtcgn5h4nvR/Sw9zpdjnH1VozcIeGllDOI05V3iWYKt1zT456a67KQWYI8c+7Do23/u3Dn07NkTQUFBxm35H6BEIsHkyZOxd+9efP311/jhhx+sk1Misjlbju9uHuyGZtUUuP5Ah3OJeZPD6Q15M2XX95ejRXU3kzFz5v5sFG39eFBMa2NhRVsj3SvQ9Z1dismRyaQSvNreG3qDgMO3cpGSXfx3o4ZKhq6hHmhareosK0qlc/XhQ7bQJEiBw7dykaUpeBPXXlTj6Qgv+HsUVHLrDXmz3t/JEAf6fYvpWeNIMjQCtAYBhT/9FtVLnjelto8c/p5SPCh0H7qbqedvYhE7r+fgxG1xjweJVIYGwV5oE1YbDzKycOTKPaSrCw2j0mnx8e5b6BgabpXvo6tO6OtMLArms7OzUb16deNrNzc3ZGZmitK0atUK69atq1juiMhu7PGAJpVIEBagEC05Z00hPnLRQ9CpuxpE1XIrNijJ1hoQU6RbfWgF1ppnyzU5OolEgsha7mhT0w03HuhwOUWHTI0BOq0WgSp3NK2mQG1vGYN4EnGGiS8dnVwqQZ8GnlgXU9Biej9Lj4XHMtAkSIE63jJkaAw4m6hFRpGeW4GeeZNYOjJDMcOqlGUMDfCUS/EABX+r1gDIrL86rNMSBAFrzqVCrS7Uyq7JwuAwGQb0yp983BfDWtfAnK9/RZJvY2Oye6lZ2Hczp8KVQK48oa8zsehrERQUhJSUFOPr6tWr4+rVq6I0qamp0Ost71Z15swZPP/884iKikKrVq0wfPhwbN682ezzZGZm4ptvvsGAAQPQsmVLREZGYsiQIVi4cKHFeSNyFJXZpckVx3f3qifuunc3U49/4nJN3kedQcCmy9nQFpqUSCoBHq9n+eR3RM5CKpGgQYACT4R54qkmSgxsIEfv+h6o4yNnIE8mXHn4kC2NaKJEnSIVxgaDgPOJGuy4lo1D8bkmgbxEAkyL8jbOIeOoihvTfyO15Fnts3UC7hUZmuHj5th/o61dTNbheop4dRG306vQp5t4gjuFTIqe9dwgTSqI03RaLbZdE7fom6u8DT6cM6PyWRTMN27cGFeuXDG+bt++PY4cOYKtW7dCrVZj//792LZtGxo1amRRpo4cOYLRo0fj+PHj6NOnD55++mk8ePAAs2bNMqvbfkJCAoYMGYLvvvsOwcHBeOaZZzBkyBAEBwdjx44dFuWNyN5sNcmQKz6gRdVyE80SDAB7b+bgp1OZOJaQiyspWvwTl4MFRzNMJrvrWMfd5FgioqqME19aj5ebFHO7+5U5l0s+iQQYGK5EVC3HbpUHAKVCirq+4oqKQ/G5JU5qd/R2rqisyCRA02pca76wi0laUeWqJDsV0rvnoc5MN0mblZYK+Y0DBWklElxN0Vbo++iKDT7OyqI+oz169MDcuXNx+/Zt1K5dG5MnT8bOnTsxa9YsYxqZTIYZM2aYfW6dToc5c+ZAIpFg2bJlaNq0KQBg6tSpGDVqFBYsWIC+ffuibt26pZ5Hr9fj5ZdfRmJiIpYuXYoOHTqYXIfMl3/jlbJ1xi5EXZoefhZqrQFqnWDVLk2uOr5bJpVgclsV5u1PE22/k6HHnYySa6k95RKMa6Gq7OwRETkVZxs+ZBAEXErW4cStLNxKzoRGb4DSTY6GNXwRVdvdZBZ1W6uhkuGzXv54f28qziSWHGzV8pajV30P1PVz7InvCnsizBM/nChYhvZmqg4bL2WjV30PqB623Gv1Ao7d0WBfrHgZ2U4hHgjwlAEoCAyzMtKQEHsdOq0WPv6BqBlaD1Jp1emHn6U1QOGWN0xQEARI0m5DAgF/rv4FIye/ZkyXnpqCw7u2QKoteEZzd3eHIOQ9v3m7W/bs5ooNPs7KorvA8OHDMXz4cOPrkJAQrFmzBkuWLEF8fDxq1aqFp59+Gk2aNDH73NHR0YiLi8PQoUONgTwAqFQqTJkyBTNnzsS6devw6quvlnqeHTt24OzZs5gyZYpJIA8Acrnz3ADt7XaGDscTNLicrDPOUuvlJkWToP9n77zj4yjOPv7belWnU+/VknvvDdvYGAOmY0oIJQmkACEQXkiAhJACSQgpBAgJCTUEEkILxTa49967LdkqVq/X25Z5/1jpdHtN0kmWJfu+n48TdDu7O3c7MzvPzPP8Hg5Ts3hk9CE1UZyeM5Ax7ENtgtYb5uZp8e1JEv64I3T1OhwcQ+EncxORlxgfM+LEiRNnqHK0yYfPjrWjvrkdLrsNhHQZGaeqWGw0mTEyNwXXjzadx1oCiRoa147Q47JiGQcbBVRZRXhEAo6mkKyjMSGDO++LDrFwaaEG7x5xwhZg3B1q9OFIs4ACEwPIIupddnjCTHKuG9EV21156hjWfPIeDu7YCCJ3XSs1MwfzrroRl1x5Izh+cGozEEL6LVRJw1CgKQqJiYlot1hA9MkAgM0rPkZjTRUmzb4UlrZmbP3qMzjtVsgpxf5zE81m5RoxzhUv1A2foUq/jQb5+fl4+umn+3ydXbt2AQDmzp0bcmzOnDmqMtFYsWIFAOCKK65AfX09NmzYALvdjry8PMybNw8GQ0/TOFy8tLsl/POQAxXtoV4MTp+MPXVe7KnzYngKh+tHDG4l1QuBuMhQ/3HdCD3O2iR8edodEoMYSFYCg2uG6zExM/57xokTJ85Q5ePjLvxzTyNaG+pVRnwnkijC2taCvXYbGuy5GJ/OR1VbHwj0HI1ZuRrMyh38bvQ9Qc/ReGyWCU9vtKg+l2WCCosISZbBhNlZv3mUHmPSeIgywcblH+HDf/wprF5QS0MtPn7jJezeuAr3/ez3ALLP0TfpHedK7b3TKyM5ORkWiwWyKQtyYi5oaw1OHdqLU4f2qspL+TMAAFq9AVqtFllGBjwT2/0v5A2foUhMxvyoUaNw1VVX4Q9/+EN/1weVlZUAgIKCgpBjiYmJSEpKQlVVVbfXOXLkCABg7969+M1vfgOfr0skIjk5GS+88AJmzJgR8fyBzpXYeb9zcV9CiN8lu6flmxwSHlvbHtaQD+ZUq4A3DkiYk6vkDI3lfsopQ+O8zv8e6HtaPLLq3K66AFTAUGnxyH1uR0PlWfTlvNGpLEamGHGqVcT+Rh+anTJ8MoGOpZCTwGBKFo/cDuXu8/ns+/O8SG0m8LxYOR99IhaGSj37wkC3mcHQtgfjeZ3/PRTqeiG3mQ2VHry8rQktDXXdnisKPtTW1OBn63n8dWkaUvV0/Nn343lTs3j8eJYJT220qkIISMD/B5qXs3M1uHOcHoQQfPXll/jg73/s9j5nT5/E3371GK7695tgNLEvyPTHmN/klHCkWR0u4fIRuHwyGp0SxqZxMYdGTszgkKyj0QYNMjIzUVdXD9+k26DZ9ldQPqeqrJQ1HlLeVDAch+T0LADA4mItYp0rDob36Lm0mwYTPfHkiMmYNxqNyMrKiuXUbulMcZeQkBDx3g0NDd1ep7W1FQDwzDPP4Fvf+hbuuOMO8DyP5cuX47nnnsMDDzyAFStWID09Pez5Vqv1vDQQq9XafaFeIsoETmfPMws0t7nx9DYf6qw9F6tpdMj4+fpm/GK2BjJBr+5nsXjA0lSv63m+zgN6/5v29Z6STNBsCX+ey6UetJ0AWg2uPrk0DZVn0R/n5emAvEJArQdKAHjRmfHlfD77c3FecJsJPC9Wzkc/DEd3boyDpZ7nkoFuM4OpbQ+m84ALY7yI9bzB0Gaa29x4ZZcXDQ31qjkdbTkLpmonNMQLjzYVUtFsEI0y7xQEHyrrmvDabhrfm8DFn30/nzc6geCukTR2NUg41iqrPA7lDrf5IhOFaZkMihIlWK1WyKKA55//nf94JxRFQ6PTwRPU1ipPHcN//v1v3HD9dT2uXzB9HfM9IsHuBglSlGn0TgcwLZOBNsYd+vnZBB+ckmBKMMGTDrTTDDyXPQmmcgeolnKAN0DKnQw5fQQ0Oj2S0zJB0TQgS5iZ4oPFEps43WB6j54Lu2kwkZSU1G2ZmIz58ePH48SJE7GcOmB0DtoLFixQCfPdeeedaGxsxD/+8Q98+OGHuP/++8Oen5iYOCD17IQQAqvVisTExH5P/SPKBAaLp/uCHRyyAjVOEQwLMJIycOo5CjNyNChNZiET4GSrgF11PngDRuFyG41TLj2mZvG9up/ZrPV38qFwHtD73/Rc1JUQZbKk1xsQ3GQSA+oaC4Ph+w3G84Ch/dtEazPmIdZmAnGLBGfaBVg8BC5Bhp6jYdZSKE4KdWM8n/UcKALr6nG7cOLALlham8EwLLILh6F45DjVe6avbWYwtO3BeB7QP+1NlAmaXTLcAgFLA8k6Gkae7vY8j8uJEwd3x/zse1vPTgZTmznhABptNnh9Pv+OL3t8OWZns7jh54/DlJSC6tMn8c+Xf4eqjPmQ05UsTDabDTsbM3Cf1gSDwRf5BhHqCQy9d0WDQ8LuOh/K2jv1kSgkaiiMTuUwJYuHWUv32/3yUz3ITwXcAsHJNgFWjwyP1wezQYOSJBYpAZljzGYt1qz6Cna7XSVwt/C623DFzXdDZzCi7Mh+vPPnZ9De0uQ/vmLFcnzj7rtinlP3dcw/2uyDVt+94dpKGIwxx+ZBcPtEGTsa21HnkGA0JUKfYILLboMrMRWSKIKiKGg1GhhMZmg0Xal1vz7eiMLM2EV9B8N79FzaTUONmIz5Bx98EHfccQc++eQT3HDDDf1aIaNRaVx2uz3scYfDEXHXPvg67e3tWLhwYcixSy+9FP/4xz/8rvjhOF8Ng6Kofr83RXX+T89YXuZS/Z2ko/GtiUbV5CHHxGJKlgav7XfA4etaKV1R7lHSpPTifp3fubf1PF/nAerf1C3IaHTK8EkEPEMh3UBDz9Fhz+3Puna6L4Y91sd2NFSexfl+9oO5rhd6m+lEleGhoyIukcDlIGhyekMyPJyveg4kFAU47Fas+Pcb2Ll+Jbxu9ZienpOPy67/GmYtvibg+8XeZgZD2x6M5wF9a2+tHhl76nw40OiDJ0hsalgyh2nZPEqTWdBBz9Bus2DFf97ArvVfhjz7jNwCLLr+a5h12dVRn71XJHCJBDQAA0+FTKiHSptZW+nxe3wCAN1ehUzbcdzx3PtgGGVcyC8ZiXseeQrP/N/34Ln8KYBmIUkS7E43NlZ7kaDpuUL6UHxXtHskvHPYiTMhYZUEbW6CLWe92FrjxYQMHleV6Pq1njqewsRMDUCUHVuDIXT+SFEUNm/erPps2OgJuPFbD/r/Hj5+Cm67/8f46y+7VNwrKirQ0NCA7OzYYuf7OuZbvKRH51u8sYviGTUMfrXAjB+tbYfdK4OmKBhNiTCaIm9ITsnicdsYw5B838da5kInJmN+y5YtmDFjBp588km88847GD9+PFJTU0PKURSFBx54oFfX7kw5V1VVhbFjx6qOWa1WtLe3Y9KkSd1ep6ioCO3t7TCZQlVJOz/zer29qtvFQKtLQlmbqIpZurxYF7ILAACJWhqXFmrx+amuycKeOq8S230RUGUVsbvOh+PNgipXKk1RGJHKYnq2ZkiljYkTZ6gxkBkehhJ1dXV4/tHvoLWxPuzxptpqvPeX53D6+CF8/cEnB7h2cXrCpyddeGW3I2Ie7tNtAk63CSg0s7hltN7/eU1NDX7/2PciPvvGmiq89/JvcebEYdz+wOOqY5JMcKJVwO46H6qsoj+QmaYolKawmJ7No8jMDqmJc5VVVKUiZqp2YvSUWX5DvpOs/CKkJiWgvvE4pKxxAJQUxmdtEkanXbjpzhqdEh5bbQljyKshBDjQ4EOLS8a8fA0SNAObxaitrU3199hpc0LKjJo0HTTDQJa6dsPb2toiGvP9qSwfzECqveeYWPxhcRKeWGfBqdbIbvNajsK8fC1m5vBDqg/H6Z6YLI2XX37Z/9/Hjh3DsWPHwpaLxZifNm0aXn31VWzZsgVLly5VHdu6dSsAYPr06d1eZ+bMmdi3bx/Ky8tx+eWXq46Vl5cDAHJycnpVt4uBtiBDnGcoDE+J3EzGpXP4vAwI1Lhp7EU8zFBEkAhe3GXDxydcYY/LhOB4s4DjzQLGZ/C4Znhc6T9OnHNBPMNDKB6PBw//4AcRjblAdq5bCXNKGi776UMDULM4PeX9o068eTCyIR9IpUXE24ecWFCgBU98+OFDD/Xo2e9Ys1x59k8qu5sVFhGv7LGjzR26GC8TgpMtAk62CMg1sbg5YPFgsOMVoXLNplytaAnz83g9btja20CltHSVpemwadIuFLwiwc82WNDkUuZsMiGKi7bDBlEUAFDgeB6GhEToDEZQAGpsIv60046nLhnYUFSNRq3o39JQG1LG0tqkMuQBgA9KUXeulOWD6W2r6WsrS9Uz+NpYA1pdEvbU+1BhEeHqCMsxa2mMS+cxNo0DF6N6fZzBTUzG/D//+c/+roefWbNmIS8vD1988QXuuusuf656h8OBV155BSzLqlz729ra0N7ejqSkJCQnJ/s/v/HGG/Haa6/hX//6F2666SZkZGT4r/Pqq68CAK688spz9j2GKlLQe1zHKXksI8ExFDQMpYqd90VT+xjiyITguW1WbDnbM6+OQ40+eESCRYXnL352KNDbXyb+S8YBAEuUtIKxlLsQ+Oyzz1BVXaX6jKJp5A8bCYetPcTQW/PJe2i7/06kp6YMZDXPO60uCQcbBbS4JAiykm85N4HBhAwOOi76TqwgEbS6ldAqDUMhRU/32/h+oMGHtw46wh7TcRQ8Yqi6c6NDwsu77SiuWYnqs9WqY1Gf/cfvov2+O2ClEvDjNe1hDflgamwi3jjgwNw8DTKNg9/zzMBR0Gq7YoVlcy6O79+AU4f2Yvj4Kf7PV/7nTQg+L2RzHgDlHaPVamHgLty3zZoKD6qtyo68y+lAW1M9ZI8d7JktYJpOgjAsfFnj4S6YAVarR2pGNniNFttqvDjWImBECjdgdR09ejS2dGzoAcpC5IKrb0ZWfhEARTjv07f/qjpHr9f7vX2BMCFZUHbFXYKEJqcUEpI1FEnRM1gyLL6BdLER00jck53xWGFZFs888wzuvfde3H777bj66qthNBqxatUq1NTU4OGHH0ZRUZG//LvvvouXX34Z3//+9/Hgg13xM3l5efjRj36EZ555Btdeey0WL14MnuexYcMG1NbW4tZbb8WsWbPO2fcYqgQralo9MqweGYna8JObJqekMuQBwMTTaHZdmJPnj467sDWMIU9RgJGn4fDJIROtU60C/nvMhTvHxy42cqHD0BT0HNUjtzQ9R/VJqT/OhcFAujEONiK5hxJC8OGHH6o+y8gtwHd/8jukZ+eCEIJ9W9birT/83C8SK4kiPv3f//Dte+8ZkLr3J6JMcLRZwKFGH9rcMiSivMMKE1lMzQ4/Ma93SFhzxh3Wrfhok2LgjM/gsKhQG3K8wSFhV50XhxsFiAGZXjiGwvgMHtOyeGQY+2YMfHA81ONrShaPWXkapOgYCBLB4SYB6yo9cAbo1Ww+68X2L9aqzsvML8J3n/wt0rKUZ79n02q8/cdf+I+LgoAPPl2OrUlXwNWLHWirR8azW6z485Lk7gufZ4ansKi3m9DQ2AhZliAVzgF7ehNefOoHGD9jHrLyC3F8/25Ulx+HnJAJObUEAGAwGsGxLEakDpzBOpAQQrC8zA1AEftraagFZW+CdstLqrRmTEs55Mpt8F7yAzTWViMjJx/Q6LG8zD2gxvy1116Lf7z2mv9vUfDh1088jOGzLocxKRWnD2xHe/l+1UL/0qVL/Tvz8ZCsOBcyMbvZz5gxA9OmTYtYZu/evdi+fTu+//3v9/r6M2fOxHvvvYcXX3wRK1euhCAIKCkpwUMPPYRrr722x9e58847kZOTg9dffx3Lly+HJEkoKSnB9773Pdxyyy29rtfFQJaRgY6lVK5l22q8uLIk/EpfsGFr1tLINTE4bek+P/1QwyeRENd6lqYwv0CDKVk8dBwNt0iwv96HDVUeCAEeCp+ecuGW0QYwF27oXZ8xa2i4hO5DNMy9ECO6kBAkgmMtAqqsIjyCYpgm62iMT+dUyr/ninMZXxgLA+3GeL7piXtoW1sbzpw5ozpv2b0PIz07F4AS+jblkstwZM827N7wlb/M3r17hpQxTwjB7jov1ld64A5a0LF7gWanhN11XhQlsbhmeJdL+M5aL17f74iaclWSlTG8ol3E1CwN8hJZSDLBijI3dtd5/ff3+bwgsgyapkF4DfbWebG3zotZuRosKNAgFv+hFpeEg40+1ZmXFmoxr6BrYYFjKEzO4lGUxOKve+z+94woiKik82DAAX/Zm7/9MNKyup79tPmX4+iebdizabW/zIpTTkjj1YvvaQYGl+QrquISAY63CNhc7YU9wMOlrE3ErlofpmYP7vCVK0t02FztRXJyMpqamkH0yRCm3AHuwH9xaOcmHNq5CQAgGzPgm/YN5SSKQkpKCow8jdm5Gmyr6bu+UrtbQq1dgrdTKFfP9Hnhpy80OGRU2xQ9gfq6OoAQcEc+CclPDgC0vQHsqdUQR1+NloY6JCcMw+ZqL+6fOnCjalZWFq644gq8/+lKSNnjIRXNgZxcrLR2D4CRBcCwa8FW7QRTuQ284MCtt33Nf348JCvOhUyfYua7M+b/8pe/xGTMA0r6u9cCVuEi8eCDD6p25INZuHBhWEX7OOHRsBQuLdRiZbnb/9muWi/0HIXZuRp/vI1XJNhU7cGhRnXKliXDdBfM7lcw22tCxf1uHaNHSXLX6rSOpTA7T4PsBAZvB7hKOnwEG6s8WFgUutsTR2FYMocmpxT1hctSUP3eFwMekWBdhQe7670hitYAsKnKg+IkFgsLtcgx9a/b60DFF8aJTk/dQ202W8i5pWNDBWNLRk9QGfNWa+h5gxVCCF7b78CKMne3ZSvaRby+34GpmTy8EsFvt9qiGvKBWDwyfrbRgj9dnoRX9tixu84LURRht7TBabeqYnNphoXBlAiTORnba7x4aZcdj8w09Xrx60SLWrxKz9GYnacJWzZJS2NKFo8dHYamJEvwZYyF4cTn/jKlYyeHnDdszES/MU9AoVo7DIHqQbkmFndPMKjCBqZlazAqlcM/9jlgCzDol5e7B70xPzaNQ6GZhUxSYXd64HbaIWVPgJQxCkzdIVDudsjmPMjpI/3nJKWmQ6/X44ph2pjzfwNKWz3RImBXnRcVYTxBshIYTMvWYHw6N+Dzpla30n4t7e2KNoPPAbrpFABlzJix8Ep4PR5s/vITNFRXgK3eBXH01RAFHxx2B0ymBDS7BlYf6d4f/Agfi9PhoSN4OXJ6iCWXQhw2DwuH6ZCXl+c/FA/JinMhc84CngRBUImOxBk6XF2qw1en3QgMfd9Q6cGOGi+KzMpKfaVFDImN52gKSyPs4F8I7KxVr84XmNmIhmWhmUVxEqty5dxR640b81HQsRTGpvMRXeFYChibzvdpcjXUsHpk/HRDO/bVR89zfKZdRKXViRtG6LAwjHtwLFwM8YVDgd64hxoMhpDjVWXHMGz0BNVn1adPqv42GkPPG6x8ctKNT091b8h34vTJeGpDO3QcDSHIkNdyFMak8TBrKNTZJZxsFVWic/UOCU+ss6DCIsLrcaO5vkYtsCX5AIaHLImwt7fCabMiLTsXqytoDE/hVF4BPcHuU9evOImNGos/IoXzG/M0TUPWqkXJKk8dRfHIcarPqsuO+/+bJOVD1JpVxy8vDq/vYuRpzC9QZ6/ZW6/erR+MUBSFh2eY8OjqdqRm5sDa1gy7tR0EPKS8qaqyDMvBnJoOgzEB+SYWt42JvV/4JILfbbOpNkaCqbdL+OykC/vqWdw2ZmBFBcWOx2axWAAAlMcGCgST5izEtx77pX8havbia/D8o/eituq0/1yL1QKTKUHlfXiuaffI+Pk2LxJLJkNuaYLTbkVITCMAlueRnJaJo7QeX5xy4fqRhos6JCvOxUHM1na0FWefz4e9e/ciJeXiEtS5UMhPZPHNiaErnx6R4HiLgFOtQliRu/unGpF2AU/ug8WBhnezQzw8KJ6sJ+JCFzvpBgaz8rTINjLQdwgP6TkK2Ubl84vJePRJBE9vtKCsrWchK7KshIF0Z/j3hJ4akO4LWOl5sNAb99C0tLSQLC0fvf4S7NZ2/9+nDu3F9jVfqMpMnNh9utfBgN0rqzyeOilKYnHtCD2+NtaAOfkaaINEy2rsEg41qne9x2Xw+OEME64u1WFuvha3jDHg+9MTVK7PMiHYUOWBx+vrMuSJBPbUGmhX/QK65U9Au+pXYMvXA0SGLIlorjsLQVB0UnrqBRCJ7jb2A49zHAeeU79zPnrtRThsFv/fJw7uxo51K7q+nz4Jel3XAnyCRgmTi8TYdPX1CQFah8B7bUQKh59cYgLPUjCnpCG7sARJaRnQJyRCZ0yAwWRGalYOsguHwWBMQKqewS8WJMIQJiVvT5Bkgme39Fwot8Ym4p3DTriEgfstdRwFWZb9aftIQgYIp8Oi625Tze85nse8pTeCJOX7P/N1pHWO9feJhd9ts6LBKYGmaaSkZyKncBjMKekwGA1I0HEwJiYhLTsPWfnF0OqUhZFX9zlwokW46EKy4lx89HhnftGiRaq/3377bXz88cch5WRZRnt7O7xeL26++ea+1zDOeeGmkXp4RYJX9ti7LUtRwBXDdFhcfOHuyocjPuCfGzp36IHBF6c9kHx+yo2TYXLGFplZ5CWycPhkHGsRVK73hAB/3mXD29el9une8fjCwUNv3EMpisJNN92EP7/4ov/z6vLjePrbyzBiwlTYLe2oPHVUdR5F07ju+uv7s8rnjLWVnpCF5OtH6jEho6sNDk/hMCdPi3cPO1FrUwwVm1fZmUvWKcZHko7G9SN0IZlakrQ0bh6lx1/22EEI4PQRCBJQ19LlVs/vehNMo7K7rTMkwO20gDv2BWjLWfim3gVZktDc1ASey8HOWi+m54R3kw+HkVfX50y7CFEmEXfng3NK56WaYAn4u6rsGH727WUYMX4KbO1tqCpTpxGmaBZmc5L/bw1DRR1v2TC2m9jHBYuBYmqWBvdOMmJthQdlbQISEpOQEJRdTcNSmJTJY16BFml90CH5+IQLu2pDDXmeoZCqZ2DxyCGGe6NDwj/2OfB/swYm5VtOAgM6cBZDMRCL5kKrD/VG0OmNEEsu9f9NoOgqpOtpHA0p3f+cahVwoEG9SJ1s4HHL2FyMTOXA0hRaXBK2nvWqyhEAHx534vE5A5tG70LgYp57DUV6bMyTAHcWiqJACFF95r8gy6KkpAQzZ87E/fff3z+1jDPgUBSFW8cY4BQItp71orwt1KigqM6JkwZ5/RyrOxjpnAh2cqpVwJwI8YwAQgyxFH087KS3XKwvE5kQfFGmFls0aWjcOkaP7ISuvnbFMIKvTruxN2A3vtUtY3uNIsQVK/H4woGhuwlTLO6hN954I/797//AXtPgP+bzenB415aw5825/FpkZmb2ruIRaHcrOY5PtAiweQkIgASewvAUDlOz+D57bq2t8Kj+HpXGqQz5TnQshetH6PCX3cpitFckkAng7DCgpmZpIqZcTdEzGJbEobxNgENQ5jnuDmFOuvU0mMbjGD5+Cm677zGkZ+eh4Wwl/v3Kczh97CBoy1nI5jzY7HZkSBK21vTOmB+RwmF3XVdfdvpk7Kz1hX3PWD0y9tSpDZxrJufhyy/SYK9t9H/m87gjPvuJk6fAyXWNJy1uKWr2msowwrZmLY1q28DGTsdKukHJxW31yDjY5EOrS4YgEWhYCnkmFmPSOGj6GMYlygT/O6keu3mGwuJiLSZm8mBpCjIhONkqYmW5WxWmsL7Sg29ONMI0ACKvRp7G3HwdTpXRkGSlDuKIy/HJlsP47m0F/v7hkwg+O9wCKWu8/1yOZbG0RDdg7+cVQaEKeo7GvZOMMAZ4BqTqGVw3Qg89R2FbgEfE9hovWgY4tn+oEtfIGbr02AJbt26d/79HjhyJu+++O2ZxuzhDh0Izi0Iziza3hLI2EQ4fAQVlB2FEChfxpX8hMjNHg83VXS+JaquIslYBpWHSs5xpF0IEb2b2YlIX5+LmdLuIZpesUrW+YaTakAcUZeurSnWoc0iot3dNWFaUu2M25uPxheeW3kyYYnEPNRqN+OMLL+Dr99wHR4B7fTjGTJmFZfc+3Mu7hOIWZHx8woXDTb6QSls8BLtqvdhV68XwFA7XjYjNg4sQ4s+J3cmkzMheIal6BrkmFjU2EZ2bxz4J4Ggg0xj9vZVpZFDepqSfk2TJ78/O1B+GRqfHPT96BoYEk1I2rxD3/PhZ/OzemyDUH4ZszgMhBE6HAy2u3n3XdAODsWkcjjZ3LQSvqXDD4ZMxM0eDRC0NUVbC3VafCfVSWDbWjMs7nr0zwL0+HGOnzcEdt9+Gfx7xdmWvIUqKu6tLQ+stE4JN1erd5rxEFim6oTcHSNTSmJd/bvRrdtR6Q0Lqbhmjx7CkrnkCTVEYlcoh3UDjlT0OyB0NVCTAqjMeLBs1MPHz144w4MPdJrR3xM2DorHHnY6qT45hXH4KvIKIw2fbYdMUqs5LTkzA5QOYy3xHkJfDjFxeZcgHMi9fi911Pn88v0yA3XW+Pi/SXOjENXKGNjFtp65duxYmk6m/6xJnEJOsYzAj5+LuyLNyNTBraZWi/fvHXJiXr8HUbB56joZLkLG33odNVeqXT0KHeFCcOD2hNminK8PIoCAxfP+jKQrTszX4NGA3KJx7fk+JxxeeOwZqwlRaWorHfv8P/O+tV3Bg+wYQWW1cGBOTsODqZVh84x1g2L55VTl8Mh5fZ8Hhxu61Gk61Cnh9v4w5uRqkGXp3X5kAElEnfEvqZjE5SUejxtZhixP4jfpWt4zipMjntQbu5BHSJbQlSygZPcFvyHdiMiejaMQYHPN0nSeKYjh9rm5ZNlqPoxutAfcHdtR4saPGiwQN7V9AC2ZWrga5JhaicTh+9Pt/4JO3XsHBHRtDnn2CORkLrl6Gy268AwzD4NJCSiXStrfOC4YCLsnX+A2mNreE1Wc8qAramb+6dOB2Z4cKe4M0S3JNrMqQDyRFx2BcOoeDAa7hu+u8A2bMj07jcMvYBLy6xdL1ISFobrdjXXv4EEuKZvDjBZlI6lhYOteIMvFvInUyIopekYalUGhmURbwDmxzy8hKGNrz13Pp9t4bkdX4Dv3gJKa3eLDATpw4gwVRJihrE9HqkiDKishLQSKLzH7I58oxFJaN0uO1/V0CTJJMsL7Sg/WVHhh4Gk5feLfj60fowDPUkIkvjHN+8QbtuGUamagv8qyg9u0WiEqVO875Z6AnTCnpWbjnR7+CpaUJB3duhq29BQzDIrtgGMZMnQ2O77vWASEEv91qxekwabci0eaW8MvNVvzp8uRe3YuhKfAMpVLQrrNLSI0Q20wI8XurdI69nQ4k++p9mJrFh+1TDp+MUx2ikwxFAaBASYqIlpQxCq11a0Mm1rIso7WpHnLJTP9nFE0jKYZd66lZGtw+1oB3j4Tm+46kHJ+qZ/CDaQn+v1MysnHvj5/p0bO/ZrgOq067Ve1yV60Xe+p8yDQykAhBoyPUTdmkobGonzJnXEhYg9LXFidFn2YPS2JVxnzw+eeaxy8vxpETp7C5qSfPkuCyPIKrRkVZCYvTbwyU23tcI2foE/OSfFtbGz766CMcPnwYdrsdkhQ62FMUhbfffrtPFYwTpyc4fEqc8P4GH9xhXIRzTCxm5PAYm9a3HOU3jNTjVKuIjdWekGORDPkRqRxuHj2waWfiDG24ILd1SzcTvPag4zxDRYwJjnN+OF8TJnNqOuYvvanfrhfIvgZfyE4kS1OYksVjRCoHmgLK2gTsqfPBG/Dly9pEbKzy9NpbaWQKi8NNXTtuO2t9GJfOhTXKz1hEf6ysSUPBJRBoWQqSTNDgkLC+0otLCzWqc72ikhGic+fbwFFweCkQwQUCQM4YjbpTa7Bn4ypMW7DEf9621Z+hWTZCTi3xf6bTajE9xhzsd4wzgKGBVzqE+KKRa2Jx6xg9EsLEWffk2eeZWNw/zYQXd9lUn8uEoM4efpGGpij8aJYJBn5gdmeHEsHjbne/jxg0tA+0pwNNUXjz/sW44zf/xq4GCXJSQdhybPNJXDM5D1dftnBA68fSFIw8BWdA2saTbYIq60QgXpGEeJDEsqh2vhlIt/e4Rs7QJyZj/sSJE7j77rths9nCiuB1Ene/ijMQlLcJ+NteR0RjGgBqbSI+tok40cLhkvzweXR7Ak1ReGy2CTqOwgfHQndOgpmYyWNpaahqcpw40UgzqCcfVVbF2yQlwi7k/iCl3/zE0KHdJxG4fTI8PgKdnsTb5ABzIU6Ylpephal0HIV7JhpV7bQgkcX0bA3eOOBQ7TouL3P32pi/YphOZczX2UUsL3NjyTAdOKarPZ+1ifjfia66GTjFINBzFOxeZc6yudqD4y0CJmbyMGuVPPPBi8EJGgoiYWGxMPB0bFh4Z34br3+yHDs3rUVx6QiUnzqBY+00hBn3+M/TaDTIMBtwSYxx2RRF4ZbRBn+876FGX0h8fIGZxdQsHqPTuD735atKdBBlgt9ts3a7eMAzFJaN1mNiFL2Ci5nUIKHbEy0CFhVpIz6jY83qkKi0fhTK9YoELpGAoZQ+EEnbhGEYfPuOZVhSfgIrVq3B4bMWCIwWFJGhhYAZpZm4/BtXIDXz/HjlzszRqMQvd9b4MDkzfNz85mq1lgRNAdOyedW4MdgZSC+uuEbOhUFMxvxzzz0Hq9WK++67D8uWLUNmZiYYZmjHo8QZmpy1ivjpBktUQz6QY80C/rDDhp/MjT1VCUtT+P60BJg0FHbX+XC0WVDFMDK0Im4zLZsPa1TFidMdI1M4bDvr7XrJEuB/J924fZwh5OW9r94XkqLq8mLFiBBlgmPNAvbU+3C2QzxMkmVoWTtGpSltNCchugt/nL5zIU6Y3IKMPUG78pcWasMuOJk0NBYXa/HhsS5dh+MtQsSd30jMytUgRUejJUBgbG+9D0dbBIxM4WDkaVRZRX9b74SiKHx9rAHrKtUeVS0uCWvOqBckAjFrGVxdqsd7nhTU1tUrH3I6COOXYb8s4kBTG0j2CCBXPc6npKTg+hH6PodWpRsYLC3VYXGxFg0OCR6RgKUVDRtzP4vPXlWig9UjY0etF4ebhJC4fC1LYWIm7xfiixOeS/I1qkWuNreMXbU+zAwjSFreJoRkCuqrMJ8gERxpFrCnzou6AFFUlqYwOo3D9Gwe2RHG/PySkfheyUhIkgSn3QqapqE3mkDT5/d5X1WiUxnzLkHG6/sdWFSkxahUDgxNobUjNV3wwvbMXE1HmsGhY8wPpBdXXCPnwiAmS+PAgQO47LLL8NBDD/V3feLE6TGEEPxuuw0OX+jwkp3AwshTqLVLIYb+1rNerD7jwaKivr00c00sck0sriohaHJK8ElEySNrYOIiIXH6BMdQuKxIi89OdU0Ka2wiXtxlw5RM3p9n/lCjEKLwrWMpLCrS4mSrgJd328PGYAoywaFGZcevNIXDjSPjYSDnkgtxwtTmliEHCdKNjzKxHJnCgWco1a5Zrb13KaM4hsLDM0z42UaL6nOPQELyUAcyOpXDwzNMGJ7C4XfbrT36gbUchafnJWJ4MocaWzo+d7rhsAbcl2ZBjOkh5yWYk7FwZBpu6cfQKp6hBmRhOMOopPe6vFhGhUWCU1Ayapg0NIrMrMr7IU54RqdyKDSzqjR+X512o8EhYUaOBhlGGu0eRSh3Z626zRo4CvP7oENwuMmHP++yh93cEAPG/OHdjPkMw8Bk7p2mxblkeAqHiZm8ylC3eGR8dNwFhqagZamw35kCcNMQfLddiF5ccc4tMb0dOI5DXl5ef9clTpxecbQ5dFU7P5HFNcN1flEkmRAcbhKwosytmkR+fMKFhYX9kypOw1LIi+/Ax+lnbh5twLYaH5oDlLU9AsHWs17grDfieXePN+B0u4ifrLf0SEyprFXAWwcdmJ+vQaI27mHVU9yCjCaXDJ9EoGEopOlp6LiLZ8dSCGpaPENFTf/E0BT0PAWfu2sc9sWQ/nlqtgaPzjTh6U1Wf0qvaOSaWDx1SSI4hsLSUh3O2kR8ddodkj4skCIzi6tKdRiRwoGlKfxsnhktLhm7y3lY21tCFOIBgGYYmJJTMaskHT+ZmzjoPSuioeNojE67eNpyf0JRFL4+zoBnN1tVnx9s9OFgNxkfbhyph46NzZtjd50Xv9jYMy/FUx1j/oICDRI0Q2PMf2yWCT9c1R4iAinJRBVPH8i9k4wYncYPKV2HC9GLK865JyYLZObMmThy5Eh/1yVOnF6xolztHmnS0Pj6OAP4gN0DmqIwIYMHSwEfHu9y8ay2iqpcvnHiDDbMWhq/XGDGE2tDJzCRmJOnwYwcHg9+ZQmJsY1Go0PCH3bY8MsFcZXi7qiyithd58PxZkGVMYCmKYy+iMJr9Jx6AumTCJqdEtIiiDLZvXKIkGMCT8Hr7v1Ee16BFt+aIGJ9lRen28KP4waextQsHnPyNCpxuOEpHEqSWVRYRBxoENDskiBIgJZVDP8pWaHCUlqWwq1j9JiclYft1ck4UmOBx+2GLEugaQY6vR7j88yYmafHsCRW9Q6Kc/ExN0+Lr40V8V6YjASRGJPOxyyU2+iQ8Ost1m5dswNpcEj40047fjbPHNM9B5pkHYPnFpnxwMo2NITJrhAITVO4cpgW140YervyF6IX17kkmm7bxURMM47HHnsMt9xyC15//XXcc8893Z8QJ04vkGUZpw7vxeY1K1HT2ApZIkg06jB12nTMXHgFtHoDAOBQo3oSNyNHE3ESNSqNQ1IljfaA3ZhDTUK/pKyLE6c3WFqasHXVZzi+fxecdit4rQ7FI8dizpLrkFtUqipbZGbxh8VJeHxdO85ESf9l4GksLNRichaPz055QnZnMo0M5uZpUGRm0G53ocLJYWuNF56AHYBddUrsfXeplC4knD4Zh5sEtLgkCDKgYSjkmhiMSuVCXIoFieCTEy4cirC7JsuKaNGRJh8mZvK4JE8Ts9DmUCBFR8OkoVULTVur3Shs34Od61eiqe4sCCFIzcjG1HmL0ZYzVzXz5BkKJcksWmq7z08fjhwTizvGsWh1SzjcKKDdI0OUCXQcjcJEBiNTuYi/P01RGJbERcz/HQ6KojA8hcPwFDNso01ocEh+r4wMIwNTGDX5oYjP68W+LWuwZ/MatDXWg2YYpGfnY+aiqzBm6uy4PlIPuXOcAXqOwp932bv1IJmeo8GSYZFF8rrj4xMueAIseVmWwdvrQI6uhFh7BNAaoB0xH678OaC1Rn9ozLYaL860C0Nm8TFVz+DeSUYcaxGwu84Xoo2h5ShMyuQxLYtHki7eTi9U/Cn7PDKaLRLSHF6Ytf2fsm8oEVMPfuWVV1BSUoLf//73+M9//oORI0fCaDSGlKMoCr/+9a/7XMnzgdMZeUWVYRhotdoelaVpGjqdrtuyhBC43W6YzWb/Zy6XK+KqE0VR0Ov1PSqrbNB1TTTsThecPhk0BRhYhHHR6fpuXo87rEuhv2SHYQ0AHo8HFFEmVB5XaOq2wLI+rwdyhzqw0ymBpRXXsqrTp/GPN99Bo74QcsZiwKzUrRbA8fImfLDxN7jp0umYvWARLG4RBEo+XwAoMDPweb2QpfBGT46eoC1gM7/NKcBMh9azE16r8wu/CD6fv54AQr4jp9H6JzmCzwdJVC80BH5HSYKqrMfnA0OFprQBAFFkwfLKhFMUBIhCwMSXEHhcTjAUAIoCx2vAsGzHeSK8QuRJMs/z4Diuq6xX7bYd+P1YjgfbUVaSJAjeMGn5Or4fxXQNKZHKdsKwHDrbmizLcLsjC1FxHAe+IzdyYNlwbY1mWPAaJYSCEAKvu8sjI/A5eFyeqGWDv5+GY1X93uOK0u8ZBrxGPUb4RAkfvf5XrP/sfcgBfYqigNqKMmxe+QnGz5iHm7/zMHR6o7+uRorg5hIKzS4GB1oIap0U3AIBS1MwcRLGpdIYkUSDoQXYHT58VS5BlonfbipJ5nDbGD0ErxsQfNBKLkxNMaDEyODNo0LAJJDGF2Vu/GB6Qq/6vdvtBg3Sp37feV6ksoF0nsdrdQFlI/d7ANDousZKr9eLhjYHNtWKONEmQwr6mrtoGjqOwpRMHjMzaTidEmgK+M12Nw4ECb5RNO2fGBNC/GPwvjoPfr2pFT+aoWSyCNfvg8eIQCSJA0t39OXgfh9EYL8XBAFeUYj4LALLSqIIwaf0+3DPQtXvRVFp70Fj1PwcGp+ViwBFwetxY+XueuDIJtAnt4GSledRX1ONA+0cyMRkJKdnQ9fxjBcUaqGhSdR+xLCcPye6LMtwOp0h9TQAmJkeWtbncaGzRfSl32t5DgzHq8ryAPJ1AQUlwOMK3+8jPYvgsp2/Q7hnQdE0NAHtPdxv1nmeEuXe9Zw8bhciStRTFALf93u3rMX7f/09HDaLqlhd1Rkc2L4BmbkF+Majv0D+sBFh+71TIDhjlWH3EsgESEnwoSSZA0+8/vGkr/0+sC9HKttJcL+P1tY0Or1fFM7n9YatZyfBc4PAvhw4T1icSyDLBuxvFLGv3ge7V/KPERoGGJvKYHIGjVSdDJ/bBUni/f2+uzGic87hFQnWVrghyzIIALvVAsfRdaC2vQaq4y1AUTSosoOQDe8BV/wUSVn5YFkOsgx8csyKe8dr/d8x0hgRSOd3pNmuxbBIZTthOR6dbU2SpNBnETCfYTje35clSVL1e8HjQakRKB1OweplYRMZgGGh5yik6SjIPg9APPC4Qtta6BgRfs4Rqd9HIng8cblc/dLvI5UNrmvYfh+lrStz5oDrdjNGaHVqW4Ohws+9gssGziO66/eR5hyd5xkMStkmp4R9Z23wiZK/zbRRQJuNQlUzMDqNR1G6qeu7eTxhU6d3otd39Xuv1wtRjDyP6E1Zna5rjPD5fBCEyH25u7Kd3z0qJAZGjBjRo38jR46M5fKDAih7CGH/XXXVVaqyer0+Ytn58+eryqampkYsO2nSJCLLsr9sQUFBxLKjR49WXXf06NERyxYUFJDlZU7y/DYLufWjJpL7k/Uk9ZHlyr8ffEISrvoRYbOV8xOTU4kgKXUQJJmMn3FJxOtqdHry1WmX/9+VV14V9XcLLHvJlTeEHKd0iSTxlt+S1EeWk5wn15Hcjn8Zj33ZVd9HlpOU+/9DuMIpJPUHH5PUR5aTRW/XkNlv1JG/7LaSa+74TsT7m677GZn2aiVZ8m4DueLdBrL06X9Fre+rK/f463vHD56MWvbFTzb5y97742ejlv3Nv74iv99uIV/7uImMef6A8r0e/pwk3f0K0U29kVDaBH/ZTz/73P8s/u+5V6Ne9ycv/ctfh3//5/2oZd98801/2/niiy+iln3g53/0X/d3734Ztexvn3vOX/bFTzZFLXvHD570t7UjR45ELfvoo4/661tRURG17DV3fMdfh/d3VUUtu/jGO/xlPz3cHLXssmXL/M/iq9OuqGWnL1jiv64gyUSn00UsqzMYSenYSf5/HK+JWHb4uMmqfpSRk686zhfP8PeTvCfXktlv1JH3DtvJV6ddJL90VOi9p99KUh9ZTrJ+vJosebeBXPd+I/EIEhk+bnLEOiQmp6rqMG/+/Ihlg8eI6QuWRP3duhsjAv9ZbHZ/2cU33hG17Pu7qvxt7WsPP01S7v+PakwJ/Dft1Uoy+406MvuNOjLu52sIbUzx/07B/6b+9QxZ8m4Dmf1mHRnx270hx3XTlvnr0JsxYs3adf629sDP/xi17C9f+8h/3ddefyNq2cAx4icvRR///u+5V5Wy5U7y5Evvhi1DmzJI6kOfkrG/20vyfrqB5D65jmQ/voak3PdvknDlYyThikdI8nf/pfpNSp7ZSa54t4GUt/nIth07o9bhjh886a/vqyv3RO+f9z7sL/v2xuNRy/ZmjLj77rv9fb67MeKSK2/w9/nu5hGBY8RXp11Eo4s8jxg/4xJV2cTkyPOIKVOnRh0jAv/ll47y13XV6jWE12gjlmU5npSOnUTGTptD/v7lXjJl6lT/MSatiCRc+ShJfeh/JPWR5STjsa/IjNeU9/LcN+vJsG//hbAZpWGv29sxovNZ9GSM+PRws//73XnX3VHLvr+ryn/daPMIAOTtjcf9ZZfd+3DUsp3ziJXlTnLLw78iTEoBoU0ZBBQdUnbbjp3+ft/dGPG7d78kX512kT9st5DJfzrU1cce/pzQRnX7yC4Y5n+/ZF71g6D5lHqu0Jsx4rXX3/CX/eVrH0Ut+8DP/+h/FmvWrota9t4fP9urecS5GCPuv/9+f1vr6TxCkGTicDiilu0cIzr/RSvbmzFi3vz5PR4jho+brJrndzdGBF43mq2RkZOvKtubeUQ0W0Ov1xNCCHEJMll7pvsxwiV02VHLli2LWtbhcPjL3n139DGiqanJX/b++++PWraiosJf9tFHH41a9siRI/6yTz/9dMjxnhDTzvzatWtjOS3OeYIkF0ZUtQbLQzNyPjQj50Oo2g9s/cfAVxAApTXBfOvvwCTn9qBsAhKv/zmIzwWK7RKxOxIljyilTQBfMEn1mU5yxF7hGOEKp+BTaz7ojvh90rmSStNgUgpgmHcPDLPvhHP7e3Dv/uCc1YPE44wGFDnKLndI2SiryN1Bm9Tq2plGJmJuegDwntwIw9y7uv4WCewRxIQuBCotIg6nXQ6q1dKj8h4+EYnLngVtUCs7E8ED1/b3cNfCJzFiVCbcgoyX/rkarWICEDAm6abcAPe+TwHpwtTnkG2NcGz4O6xLH+kaywBQOhM0oxaEPcdpt+H6YTSGJXFoGqB6xolOS0sLfvGLn/eorNftwhvPP9W1wzzmMiQs/gFAhx9nZEIgZI6F+fY/wbH+VXgOfN5f1R5S0BQFXnZDaq3q1+taverxWqg/AdnRErE8qdwNjFzi/5vSGkHxOhBfZM+4OHEGAz1J2ddZrq8p+4YaFInP6sNyPtzsbTYbsrKy/G4c/eFmf6xFxC+3udAW4A0jE4JILjWpOgpv35CBZB0DUSZYeaK9x+62szPhd7PfWNVzd9t5+Ro8srwWa4/Wo1Ozi4LilmVMNIOmGbgcNriD3IaMyenITksGz3bEbVLA10fxyDWov5tMCL44I+JoiwyKVuI8WZrC369IwJ6ayM8u2JVubg6jcrMP/I7dudnPL9Bie62IF/a4YRMQ1jU3mCkZDJ5fnAydRlFjXVVmD3GzdzqdigtOkJv9vFwWUpBrrlskONMmwOqTIYCDSc/DrKFRYKJAS+qygd+vJ2728wu0fjf7LXVy1LKdMCyHJcNNiotYH9zsg9taNBfaznp2ntdTd9v5BVq/m70oE6yr9PTYzf7SAg3uuP1rOFVW5o8vpmka0xcsQem4yWg4W4mtqz7zX0+WZbAcj9XL/4dkc6LqO4a42wa5x+2ql7CrUXG4IwBSDSy+McHYVbbDVbmzzTgFghf3Kc8+UceCAvDmtSnYXW3rcb+flUH87ra96ffBzyJa2UA6z+O1Oqyv8naU7d7NfmGhFo+tseB4sw82b2D+ZWCYmYZZQ6HeSXDWEdQ/oYi7pei64sO/NpJDYSIdMkaUtXjx/kml7ydoFBf8h6fqMDuHxbaGnrvZLxlhhoZjw/f7IAL7/SU5DOQON/twzyKSC23nbyrJBBuC+z0hsFmt4Dk2xM1+QYEWX325Ej/77044hi9V3cdgSgRFUXDarfB6uurClq3D01eV4pvfuAteQcRXJy0Rv1uwW+ysDBLSZiKVDXSh7Uu/73S3XVfp6YG7rdLvFxYq9+t0sw/3LCK50IbrFz1xs+88TwaF7Y09d7O/alQy3njtH3j173+H1d3Vh4pHjcO0+UsgeD3YtvpzNNRUqfKN//43vwRXMhd/2uMOK9BJADAd5QPnHI9M0+GqYZqY+71Gp8e6Sk/Usp1odHosKtIpz8LtwdrTkRfwg93sL8llI7a1aG72nfUElPfT9kYqYtlgAvv9V6dsPXKz31Ttwe5aL+rr6mC1WkEaT4Df9ioAYMyUWZgwcx5cDhs2f/k/tDc3Qtaa4bn8KQBAcWEBdDodXr/SiH31yljQEzf7zu9Isxw210pRy3bCcjwuL00AS1Ph+33AfCbYzX52Jvql3/fUzT6430uyjFONThxsltDkIhAkgGeATAOFiekM8hM5aLRKv2co+N3s+9rve+JmH7Hfd+Nmf+XIJP/9VhxvizpGBLrOz0yX/W72Id8vipt9d+/7SG72necZDAZsOeuBSyBd/T5oDtxJcqIRc/OU3y2Smz0hxG9HXQhu9kND9eI80KMYhX4sSwgJeYCBxnp3hCvb5pbwu91tEAgNoKuT0BQVMinzn+MFnttmw28XmgFANYHoDq22q7Nqo+wGAlANUGc9DPbVeQCKAtUxoHCyF3ddMhqT8xLAM8qO2ttf7kKNq+u6HlsbbKYkpHa2YgK8d9yHKVkajM/gkMDTOGsTsaPGizo7VBORuXkapJu00PbwJ+Z4HgaD+iUd6TtyfNeLqJNaD4OXD7gAmgaFwHhpyj84BLO/mWBlhYAbRyrXYjnOb1Qr35dAIh0DYtA1WJaFlu8q2+SUcKTNB5EwAKd0fJdA4BIkNDmBselalYJzpO/HMAwYfWgb7vxtlBQwnqhlw0HTdI/7UWDZ7toaRVGqF0ZgPYPPCy4bSOCz7yRS2WDKy8tx+vRp0DSNziZ4xw+exMxFXcbPzEVL8euH7gKRZdA0DVkSsX3bNtxy87Ko3zHwxQkAiUYf6GaP35ivs0vwigQatuMlG9Rmypp8oOmuFxJFAUae7lW/1+l0MfX7aM8iuGwg6rbWWVYDIHqqybI2ESdbBVB01+S6JJnDdSN0MPJdY0ODQ8IHx1xoc0uKMSoQuAUgRa88v6IkFiOzQjViOJ7H6GweRc0OVFlE0B3x9AdaKCwebgDDeFRlg8eIQAJFxkL6fRQ4jgPbsfjX3bNgWNY/aQ9s38mJbEhqJIZlQ8YZPUfBlKDF6tWroa/YB19LNcThl4HNHY+MnAJ/UWNiEprra+A7ewRs+TowDUexXB6Gb37jLmVhvFdjRM/eMTRN92u/72xr0cqGP9/Qo2cBdI0nPfmO4eoQbgwGQseIYAgh+PxzZbe8s19MnLUA9/z4Gf+7af7VN+P3j30btZXl/vM+X70JTc7p/nGNEAKXww6XrQ1oPg0iy6DSS6AzJUOfYPJf++2jAmYXmZBhYPqh3/c8J7tGo4FW37O9K16j6XFbC+7LwfMEmo6t33dX1n8/jgIIYLfbAYoCSS4CxWmxcOkNuOmeH/jLzb3iBjzz/a+jLaHEv1hps9lgSjAiLdEArTXUHAgcI1T3VD0LKWrZSN8zpA1HmM8wDHNO+n1w2Ujf70y7gOVlHrS5Ow3CjrqJynz5WJuEDCOwtFT57hRFDY5+34txqrsxIhC9Xt/j933gPKK77xdpztF5XmDKPn+/j9BmAlP2BW68+oXzvDJcAoGeo2B2Cn7hPI1GA42mZymre1OW53n/ZlR/lg2kT8b8559/jk8++QTHjx+H3W6H0WjE6NGjccMNN+Caa67py6Xj9AOfnnTDEUHVujiJhU9ScrVvPeuFKyBp8MFGH442CxiZ2nOl376wotytFmDzOXG5uQ6zi+b7PypO4vDgomF48m//g5QzEQBAZAk0kSCTroGBEGBPnRd76iKvEPMMha+N7flA1x+8e8QJKUjRNtfEYnoOj2wjA4tXxv4GAUeb1Dtw7x1xYmmJHkwfhJLdoqKyHck9SSTAkSYfZuVpL1ol0HNJZUWF6m9dViksBZfi9f0OeCUCjgbS9BkonHs9zmz62D/Rqqg40+t7FZlZ0FTXIrsgEeyo9WJ+QeikV5I7ctYHMDaNh/YCbQMrT6t3YRI0NG4ZrQ9Rrc80Mrh1jB5/3WsHiPI7yQRw+BSPhxEp0cfF4ckcqixdCyRt4cKbBjFmDQ2X0H2oh7lDvf3MGaWdMi3lYFrKcePDz4IvHuEP1zDwFFi9gPf+/ZL/3Mqqyo7QkwuzrQ0lvF4v6uvrVZ9det2tqkVmjucxf+lNeO8vz/k/O+RORnKHK53H7UJrYx1QvhHc8S9BCS5ll01jgK10ESwjFiMlIws6vQEiAb4oc+OeiV0LYo0OCUebBVi9MmSiGKjDklgMS2ZjVni/WChO4rD6lK3Lw4/VQCyei8U3fl1VTm9MwIzF1+Dzlkz/Z16fD5My+Xie8gisq/TgX4edETetO2l0SHj7oBOjUjjMzuv5AlOcntNbF/Lg8k1OKWQe3LWhJWFsemhK0qFETMa8LMt4+OGHsXr1ahBCoNVqkZ6ejra2Nmzbtg3bt2/HqlWr8Oc//1m1Gxpn4PBJBF8GTV6Lk1jcPtbgH7h1HDA7T4MxaRz+vs+hMui/KHPHbMz35rUgE4LtNV6Vqzlbvh7m+eNCyhqNCeCOfgYpZ4L/LgaWoCCRwbHmnk2YaZrCj2ebUJDIqlb4zyWtbgl7632q32VKFo+lpTr/hClFz2BYEoeRKSw+Ot7lxunwKS5JC4tif0H0JM5IJBdnnNFA0OmKJelT4Z18A4TssdgZlI6rzi6hJe8qeC8tAXf4EzAtZVEVWCNh0tCYkaPBjpouI31jlQeEADNzNdB2vKtaXBJWnvagMShf79LSnu/IDzVOtKg9n6Zk8SGGfCfpBgZFZhYVAekAPSKBjqW6ndgNdYYlc2hySlHHDJZSvBoAhLTT9AQeY/PV41WlR72D4Q8vihtq551w44xOH+p5ojV0fUYoGpa0iUiGEjrYXHcWdO0BcIc+Vr3nKMEN7tgX8PF6NMszkZaZgwSNCatPu3HHWAPOtAvYUOUNSTEGADtrlXRTM3M1mJYdfy9FIklLY3SSjMClX3HUVdjdymNuguKVBSgeR0cM00ACQl4IIVhacuGO+X3hYKMPL+y09Xi8l2SC326z4Y+LGf/YGGdwcDFsaMVkab/zzjtYtWoVpk6divfffx8HDhzAunXrcODAAfz3v//FtGnTsGbNGrzzzjv9Xd84PeRgow+2oDi2K4bpwq7AJmppzMlTT7a21XghSLHNWhmagp7rWYegoIhucQFupEz9YezZuDpENGzH2hWgPFbQ7dX+c3mew2VFWszM1XQ7L0zQ0Pj6WANm5PTMNaa/CBbm03IUlgzThXWvH5vOh+T57owPjBVLmHjGvpSL0zsyMjMhJObBOvsHkNOGQxR88AbF6kmyDI/LAZKQAd/s70LMn4709IyY7nf9CPXkjBDFoP/DdhvePOjEm0cF/GWPIyRvfbqewezcge0bA4kzSNgvOyH6KnxugtIPO8fMzrW/U23RxeyCjyfrzu+CdrNTws5aL9ZXerCxyoODjT5VTupgdCyFsek8Is1pWEoZpzo9ODIy1O1014YvQ87ZtV79WWpKajxf+SBBr9eHpBbeveGrkHKBnxFjOihDEmRZRl1tLQghYE+tibiQz55aCxCClsZ6JdWYQPDafgfeOeQMa8h3YvHI+LLcjQ+OueCLcT5yMXDzGFPQJxRWHm/FH3bY8MYBB17ZY8ff9tpxNkgyIIn2YHpOfKEkGEII/rbXjuD9nlQ9g8uH6fC1sQYsLNLCrFWP7T6J4PUDAy+sHCc6vdnQGqrEtDP/ySefoKioCG+++SbYoBiZ8ePH44033sC1116Ljz/+GHfffXe/VDRO72h2qQ2zNAODtCguJGPTOaw+02VgCBKBtQ/GXU9dNRM6YlVNJhNsdjsAgJIEVJcfxxu/ewqLb7oDpqRk7Nm0Biv+/bpyUocytMFo7PD8UIzjGTka7Kv34UCjzy/IQ1FAnonF1Gweo1K5kLjngaDNrf4dR6ZwEXcEAWB8Bq8ytOodsaubB8YZdUdgnFF/QAhBq1v2LyoZOBppBvqic5vMKhkLz+z7IIP3W4QtDbUwp6RDqzdA8HlgaW0JEHKiIEy8BRmTSmK635g0Hl8fZ8C/DqsFcESZoNoqhn3GLE3h8TkmcAw1YB4rAw0f1OfCZvcIPO5vtxScvi6t9op2EWfaBRQnhe6+lLUJKhd7AJg5wIuHgNL3TrYK2F7jDakPAHAMhXHpHObkaZCsC30vpBsYzMrTKvGFHhlOAHqOhllL++MLO7n88stRVt4VS71v81oYEhIx/6qbQDMstq36DJtXfqy6/mWXL+6/LxsnLHV2EXvqfKiwiHAKBAwFmLU0xqbzmJTJQc8p716KorB48WJ8/Mkn/nPX/O890CyDWYuWwuf1Yv1n7+Pwri3+44Q3wGQywWqzQZQkQPSCttUBAAqHj8HcJdfBJwjYt3k1yo8eAO1qBeWxgmgTYbFYwBuT8OHxyEKCwZxoEfDCThuemJMY9rhMlFCY8/F+HwzMGZaEUfIZHKOL/Z9ZWppAZBlurwmSJMLW3qoWpJV8eGC8HjRFKQKFcfwcbRZQGTRuTs/RYMkwrX/+MjyFw+xcDT495cbhxi5PuwMNPpy1isjqZrE4zsBxMWxoxWTMV1RU4Otf/3qIIe+/KMtiwYIFePfdd/tUuTixEzwh10QxHoHQiS4ASH1o1z111RyfwYOhgISEBHAsC69PgJQxEmzVThzYvgEHtm9QnUM4HeTkQgBAUlISAPhXR81aGguLtFhYpCiOCzKgYXDejcfgDQVDN14LwV4NsXpIAH2PM4oFr0hwqMmH3XU+NDvVCxGJWhpTs3hMzuL9k8kLnfeOeWBKy4Gnudn/meS2w7p9HWyWsyC6ZEgF0wF9iv+41pCAT2r0WDoptify9bEGyAR4da+927JajsJtYwwY3k0s+FAnL5FBY0B7PNgoYGp2eEPbLcg43uGWb+QptLrUY+S/j7gwv0CDKVk8dBwNlyBjT70Pm6rUGgTmMF5P5xqZELy6z4H/HImsZixIBPvqfTjcJODm0YrSfzCdO/SEELQbXUhK0oT1Jrr++uvxj9deAwIMhc0rPsbmFR+HlAUUJeWbbloWwzeL0xMaHRLeOugIWcQRoLhaNzjcWF/pwaxcDS4tVNrmzTffrDLmiSzjq/++ja/++3bYe/A8h8TERNScPat8wPIgNIuSkWPw0LMvg6YUJf9LllyLvz3zIxzZuwOEUzyGLFYbQCciy8ioXjgGnsbIFBY8Q+GMRQwJAdpU7cWlhT6/y73NK2NvvQ+HGn2wdCzMcQyFgkRl8b70Iou3f2JJKb77t1VwFC0EoDxDS0sTLC1hEkD6HEg7+Qlu/tXfB7iWQ4O1FWpvSLOOVhnynTA0hWtKdShvE+AO2DRZU+HBneMHVpcpTnjO54bWQBLTbJrjuKhppADA7XarXKfjDCyd4kSd1DskuIXI1nmwyy0AmDSxN+ieumoaeRqTspRJYlZWFkBREEsWgjDhXb/EkksBmoU+IRFGoxEMBUzKDG1nLE1Bx1KD4mUeHINTZY2+014ddDxBM3SM3jPtAl7ZY8eKMneIIQ8ou6FrKzx4abcdp9uHrktTT3H4ZGyu9iA5JcWvqkq3lEG7+hlwRz4FW7MPXNkaaNb8BuyZTcpxhkFSagbqHIrWQixQFIXbxxrwzYlGjErlwoag6DgKs/M0uH9KAgoSL/zEJouCDNYam4jtNaFCmaJM8HmZ27+IRlMUknQ0EgLGQ1EmWFvhwe+22fCH7TY8v82G9RWeEJHLG0fqwy6Unkte3evAF2U9yxktSATvH3XhcFP0dhYp4wYAJCcn44c/fKTH9bvqtm8hPz+/x+UvJAghcPhktLok2Lxyv++IVllF/N/q9rDeGIFIMsGWag8+POaCJBMMHz4cd/XCi/KGm28DwzDw+lORUZCyx2PB1TerdJIoisKCa26BnDka6HinewkHQpSUkJ3MK9Di4RkJuHq4HpcP0+G7k424bawhpO98elKp71en3Xhhpw2bqjx+Qx5Q2nN5m4D/HHHiL7sdqLVH/x0GK70dMSgAl1wyF9cXSuC3/gVM/WGEW5qnvHawp1ZDv/EP+MY3vxEPdYlAVVDox8QMPuJckmMojE1Tz1eDz49z/jgfG1rng5hmcKNGjcLKlSvxve99LyReDgCampqwcuVKjB49us8VjBMb4zIUhdLOyaUkE2yr8WFRGCE1SSbYcla9EjkqlYOujzunKlfNwFQQGrWr5tWlOuyp88JgNCI1MwetjRR8c+4Hd/h/oNorlTRbmgSIpQshFs+DwWRGcpqiyDo7T9vhJto3w9AlyDjcJKDZKUGQlV24XBOD0anRXeJ7QqGZwcnWrvrV2ERUW0XkhzGg3IKMvfVqA2NCxtCIaTvdLuDxtZYQrYZweASC9w67MCVTg+nnwQ25P3B3tJkGhwSvRMAzFLKMDMald/Wdw00CRFkxCPPz8xVl+73vghLV/Y0CAXvkUzC545FUMsm/ELrqtBuTMmN//vmJLPITWdi8MiotIlyCDMHnRYZJh+Lk8xN2cr6YmatBso5Ga0DYy6rTbhxvETApk4dZS6PeLmF3vReWoNCYq0q0kAmlCkXqJDhjSCezczW4aVTPU/70B3vrvfjsVKj7sp6jkWdi4JUIqqyiStRJkgl+v92GN69NjXnh4cabbsKBOhc+euPFsLmCAcWwu/LWb+KKW74R0z2GMg6fjH0NPuyr96nCO7QchYkZPKZm8UjpQRqraNi9Mp7aYOmVq+jxFgFvHHDgvqkm3Hff/TjVImD1x/+KWJ5hWdz8nR9i7qLFEM+4cepk1zFx1FJIfJjdSF4PYbSS3YgAIBoDNIzyjvWKBKNSOVwatNBGURRGpHBYXKzF8oCFqQMNXjyx3oKdYRbhgmlzKwrjEzN4TMocWu+YTt2hnuwo6jnKv5P4s6d/jrOP/Ry71r8Fok2ElFIE8AZAlkG52kC3lEOr1eAbjzyNkROmneuvMWTxBu1DJGmjz4WTgnRRommSxIlzLojJmP/Wt76F++67DzfddBO+9a1vYdq0aUhNTUVLSwt27dqFN998E1arFd/85jf7u75xekhSh3vnpqouo2FLtZJ/elYu7zc2WlwSvjrtQb393Khad+7QA8quRLgdnmnZPPITWVRZRegNRvD5xXCYk+BMLYLsaAUEN2DKhNZgQnKiWZUT84aRfZsst3tkbKj04GizELKrtqcO+JKlMCmLx7z82NXkR6Rw2FXrU+0g/PeYC9cN16EkmfX/Jk1OCZ+edKvctQDgqiGgNusVCX65yQpXmJcYz1CgqdAXnEwIfrvViteuSQkbtztYaXVJ+OykC4eaQtvMAQCrzngwLl2ZoAa6ijIMgwWTRqC44FFsXvkJTh876M/ikJlfhDmLrwUzdjbWn+1qJxXd7LD1FJOGxvgMHiAETqcIg4EbdEriMiE42SriSJMPVq/i7mbgaRSbWUzK7PviIktT+PakBPx2m1X1+VmrGFWES8dS+MaEBKTpaTS5JBxs6N5bYlImjx/NNg24Z9CnJ9WLDTRNYUmxFpOzeP/Cjc2riIodD1D3b3UrHiSLimIfaxZcczNGTpqOTcs/wu6Nq+B2KiEeGp0ek+csxPyrlyG3qDTm6w9Vlpe58cJOe8hYASiLmjtqvNhR48XMXA0WF8f+nvk8jDeUgacxLZtHoZmFRyQ40iTgSJAXxmen3LhhpAGpehrX3X0fJs5egE0rPsL+revh6wid0BtNmLHwSlxy5Y1Iz84FAFxVqsOnOzhIHWllic6Md8tZeDI8GJnCwu0hONTuxUdHRBBjmnIzigYYDokBxlG0xdyJmTzWVHjg7Xh3tLjlHhnynQgSwTObrXjlqhSknGchyt7S2xSRgOI1e9fDT2HGwiuxecUnOLx7C6SObCqJyamYdcudmLvkephT0s5ZvS8EgkMd6x0SxkfRow3WNTLwA/9ujcWbI86FQ0zG/KWXXoonnngCzz//PJ5//nnVMUIIWJbFj3/8Y1x66aX9Usk4sXHTSL3KmAeAzdUebKvxIsvIwCcRNIVxhU7R0bikD8ZrJCK5atIUhZ/MTcQjq9tg9yqaC+bkNCQmp0GWigAQ0DQTcv43JyguxLEKdh1vEfD3fXZ4oqx+e0SC7We9KGsVMTWLR3ZC77sMS1NYWqrDuwGCZE6fjPeOOJGsY5CVwMDqkVFjCzUoJmQoE7HBLkq2qdoT0payExgsKtKi0MyCAlBrl7C+0qMK6XCJBMvL3LhzfGgqpMFIhUXET9ZHd2OVZIIDDT6Ut4khSuapBgZTxlyGKZdcBp/XA5fdBo1OD11H2qeyNgE429VOLoYVfkKU+O0NVR6/cGUXEk63CVhX6cGkTB6X9SFFIwAsKNSiziHiL7u71xIAlL77xJxE5Heksrx+hB6TM3nsrvPhWIsAOaBfMjSFUakcpmfzyEtkB9zroc0tYV+DOgXmZUXaEGPJpKGxbLQer+93oC5gEXd5mbtPxjwAZOYW4JbvPoJl334YDpsFIAQGk/midef9z1En3jroCGvIB7OjxguHj3ToF/Su7UgywZfl6oWc7AQGd443+rMOAMrC8uQsHv865PS7+BMAK8rduKsjxregdBTufOinuP2Bx+G0WwGKgtFkDkkzPCtHg2FJDI42dH1mc/nw352VSEg0QyYELocNDkfAHISiwTMUTAEGaE4UoTCWppBuYHDWKkKUCSwegjS9sjgMKOuRkzN5jMvgYeAoVFlF7KjxocXV1a6dAsEHx5z43pSEHv2Wg4XepogMZMT4qRgxfioEnw9OuxUsx8GQkBg1XCZOF8OTWVUq0wONPiwo0PrT/AVi88o41qz2DB1xHvRnYvXmiHNhEHOg5N13342FCxfis88+w4kTJ+BwOGA0GjFq1Chcc801yMvL6896xomB4SkcvjHBiDcPqlNlSDIJazgCyoDwxJxE8AOsap2fyOI3C5Pw4JdtXUr0QNhJIEUBi4t1fXJhrbaK+PlGS1RDPpAWl4SnNljwwuXJMcWw3zhSj4ONQkhsaptbQps7/Oq7gafxg2lDYwKyImgimWFk8M2JRpVBk2ti8fVxBvznqAtlAWEHK8vd+NpYw6B3+W5ySvjJuna0daOC3onDJ6PRKSFVT4Oju3L9dsJrtOA1auM0WPSpr7vRgx1CCP6x34HPw7iGByLJBHvqvDhrEzE7V9Mnl+RbRhtQZ5ew6owHzggu8oASJnTtcB0mZ6nDHDpDF64SZDS7ZHglAg1DIc3AnNcctcFaHBqWwtSs8CEaNEVhdq5GpSh+olWAVyRhJ6y9haZpmMzJfb7OUGZnrRdvH+xdmqojTT58cMyFr4/r3eLmGYuINo+sWgK4ZrheZch3UmRmMSWLx+66rh3uNWfcuHOc+n3KsCxMSSnBp3cdpym8eMMwXPHCZni5LpV5p80Cp80CgtAlCcprR14ir4TOdXxm8cgRM+0QQvxhCdaADDWd/3/3BKNK7yNVz2BCBo//HlO/Y9ZVevyLFUOFTq/GSPmxg1NEhoPj+fgufAxcUaLDZ6e65jQegeC/x5y4YaQeRr7rnWz1yPjguEu1WMfQVJ8XnWMlFm+O/qDBIeFkqwCHj4AASOCVMJlM48W5iHs+6JPqUV5eHh544IH+qkucc8Ato/UgIHhpVw9UrVkKt44xYGTq+REuLDKzuH9qAvbW+7CnzqtySweUVfpx6Rym52j6PEi8uMsGZ5Ahz9AUhiezSNLRqHdIqAgSBay1S3j3SGwr/DxD4el5ifjFJgu2ne3eTdCkofH1cQZkDIHB0OaVUdYmqiZuCwq0YY1zmqKwsFCrmmi1e2ScbBUwJi322HCZEJxuF3GoUUCbW4IoKwJvBYksJmfyKrfOWPn7Pjvag9okTVMoTWaRrmfQ7JJwqk1U7dYCSprI7I7nWN4mot0jh43Bk2QSInhXmnxhC9P995hLNWnqjkaHhF9ttuL5y5L6FCUwPoPH6DQOm49UYcPRGrR6AAk0OEpGjpHGVdNKMTY/+k6WjqORnzh4FluCd2SyE5ioeh8FZnXbIkRZgNKwg3/MGewQQkJSQwKK8TU9h0eWkUG7W4mj31XrUwnhfXzChRtHGdCbdbyWoFS06QYm6jtyQianMubbPTLcMXgBlWSn4KmpFH627jTklGFRy9LtVbi2hEWdkVe11f2NPlxeHN4jpMIi+jVY7F7lHJ6hIEgEkzP5sMKdLE1haYkOf24T/NoQboFgR21sYqLnk57qDsXpX/JMLCZl8tgXEFJ1pl3ECzvtGJXKIUVHo9EZ/n1/Sb6S7rNzM0yQCI61CKi1Kdo6HEMhw0BjbFrfQ8eC6Ys3RyycahWw5aw3bJjahkoPck0sLsnXXPCZcgYDF/ZMMQ4oisKyUQa4BYLttT4cbxZCFHR1HIXJmTym52hU7m/nAy1LYU6eBrNyedTaJFi8MmQC6FlFkK4/Br/T7QKOBrlFFSexIauuTU4JHxxzqVz2Vp1x4+7xhphE8Yw8jV8tMOP3223YVedDqyt0BVXHUZiUyWNOnmbIpG6zh9ndHJ4SeWjJNDIwaWiVUF6rO/Y8iMeaBaypcKM9zDWqLCI2V3swKpXDFcNidyFudkkhyue5JhbLRulVCwVWj4wPj7v8ni86FmhxK2kSWVpZdPjwmBO3jjGo+pogEXxR5g5ZwLpyCOglxEqLS8I7h0J3LrMTWIxN56DpSFF1rNmnEmw70Spg1Rk3lvThebqdDrzz52dxaOcm/2cMABnAWQD/eI/B4hu/jqW3fzvmeww0wUNSsPZGMOHcMfsq9hlH4VSbiPI29TtmUZEWcwPC19IMDJYM06E4icV7gSFYAsHGSg8u60X8fLAXXXfv8cQwx33db+iF5evLrkVZ83/w349egS9vBqSscX7lesgimIajYKu24fqrLsfi625BebuILwIW8HbV+lCazKEoaHHJ5pWxvExx0SeEQJQBjlHmCIJEMC6KMGyillZ0eALCoRoc0pDcKeyJ7lCc/ueBqQl4aJUS+tmJJJMQzYlAUnQ07p2oeNXYvTK+Ou3G/gafX/MhkK9Od2nr9Ne8uz+8OXoCIQTvHnbi31HSnwKK2PO/j4i4JF+LSws0iEfqnztiMubffPNN/O1vf8Nnn30WVs2+sbER1113He6//37cddddfa5knOj0ZIDPMbFYZmLhGKaoWjsFAoZSXvrFSQMf39kdNEUhL5HFuQjW+LJcrSNg4GncOiY0DU66gcGtY/R4ZY9dtcK/vsqLy2MUKmJpCtNzNJiWzaPKKqHGJsIjKqu1aXoGw1MG37PwSQTVVhEOHwFFAQk8jfxEJnI9e1D9/pqPfHTchQ+ORX+hEKIY/LV2CVOzeRQk9n6VePUZDwLnyxxD4dYx6sUfQJlE3jZGj8Qq8UEAAKrZSURBVD/vskOQCGiKQgKvTEw74+fr7BJe3KWs8GcnKDt0R5p9IcZXYSKLsWkcpAs0bH7VGU/Id7tuhB4TA9T7J2fxaCnQ4J+HnKp4+i/K3DH3QZfLhZd+9hCqy09ELCNLEr764J+wW9qx6PmnMRQmIcGKyg0OCc1OKaIL85EmtbFp4GkYz4Nw04XI5mr1wl+ilsbsvPBCb6XJHEqSOZXxv7G6d8Z88A5tnV2Kmi+5xhZquQeLfvWGeVdej9GTpmHTyk+wa8PzsDuckGUCo16L6fMvxyXf/CUycwsAKIKugca8JBP886ADo1I5jE7jlDzz7SL2N/jgCxogAt2DDd3UN/h48LWGInFDfuDIMbH4xXwzHvqqrduFUUBJIfyrBWak6Bk0OCQ8ub4dJ1siZ1nq1NYpaxNx+9j+y3oyEN4cHxx34d9Ho8+7Atlc7cF/j3G9Dh+K03NiMua//PJLjBgxIqwhDwAZGRkYNWoUVqxYETfmzxFukcTUWY087V/lvVg50aoeYCdn8hFTMqXqGQxLUk+0TrQIMRsSnVAUhUIzi0Lz4HWOaXdL2Fnrw4HG0JVlPUdjUhaH6dkaJAQZtCBAWZsYUQSmwSGp0jMBiElpeG2FO0QPIhpWj4ynN1jx0hXJ0PVy4noyqM2MTedCDPlODDyNcekc9nW4zCfraL+LaCedK/xHmsLfj6EpPDAtQZm89XMu6sEAIUqu6EAmZvIqQ76TVD2Dq0t1ql2ASouIsrbYlP7/8vJLUQ35QLat/hxrVs/GlVcsieleA8mwJBYmDa1a9Fhe7sYd40L1KBocEnbUqg3OSws0A66+f6HSHOR1NSqVi/rbjklTv2OCVem7Q0lz2vU8O1OthutPhJCQZ1+awsWclrCT1Mwc3PjN7+OGbzwAr8sJh9OBlNR0UEHCeXkmFtcM14ekUDzeIqgyLARCURS0LFReUFVWEakRtDNkQnA2aMHCFGG8jhMnEiNSOHx7cgLWVnhwPEjwtBOmI/xzUZHWnwb2J+vbVeKi0XD6ZPzrsBMLC7XIj2GjIRzn0pvjrE0MqwVi4GklOxOUcMLglK3vHnFibr42quBlnNiJyZKorKzENddcE7VMSUkJPv/885gqFSc6TU4pxI3GJRC4BAlNTglj03mkR9iNiROaFzrHFP23yklgVBOtcG7lFxqbqz34y57IKswuQcbWai/21Plw8yg9SpJYnA7QGNhQ6cGwMB4fMiFYX6n2jEjS0hjeyxguj0jwt72hL5Q0gyKAZOQpnLWKONQkQAjYkWlwSvjguKvXYkhOX1A8cjfumlkBxxWtBxZukYRRaw+FoSncPFqPUedJu2IgcIsErW61YNeUCGJtAFCSzCIhyFA93S72WqzNZrPhs88+U32m1Rsw76obkV0wDCcO7sbOtSv8KQMB4N133x0SxjxLU1hcrMXHAaJ2VRYRf93jwKxcHkVmFh6J4GiTgF11vpC+vbS0/3aHLnakoG7OdeNtxQUNJ73dRE43MBiZyql2AleWu8EzFEaldqU/9YoEq8+4Q7JxLO3HcB6KoqDVGyCRyDvJ351s7EiL2zO9jCQdjZm5HI41C37hvB01PkzI4MN6iB1uEkLG2rHpHGp6aGDFidNJkpbGslF6OHwyDjUKaHRKftHT7AQG49PVse9vHXSEGvKUogmVaWDQ6pZR3iaqwl3dAsErexz47aKkfq9/f3tzLC9zq7wUQQGLi3SYkcP7PYEkmWBXnQ+rzrj9SpcyAb445cJ3h1hWiaFCTMa82+2GThd98NdoNHC5oisUx+k9bpFEjIcBAJEoiriz8rRxcZQIBO9ABO8SB2MNmhRoLvC40k3VHvxum61H6ZS8IsF7R1342hi9yphvcEh484ATi4o0/ljIOruE9VVenA6KJb2iRNfrWN1NVZ6QRZnLinWYncv7X14TMngsKFRWvQNV4r887cZtY3pnuAQbjZZujHJr0E58ip7B/81MwNMbrTjaHJqfvpMiM4vFxTpkXeCr1+HicyPtsgFK2E2qXm3Me2JQXl+1ahV8vq6YR4qm8X/PvYqs/CIAwNR5izFs1Hi8+9Jv/GWOHz+G8vJyFBZHF/gaDNwwQo+1FR6V9kKbW8LysuhG04IC7aD2EhpqmIMELiuipLIEoErXGe78nnBtqQ7PBxjzPklJyZaqZ1DQkWe+rFUIcTc3aWjMKxhY9W2GpvD4HBNcguIlIERavaCAkSkcri7VId3A4Fiz1X+oxSXhv8dcWFqi8+/Yy4TgcJMQ0t5LUzgMT4kb8+cSQgjaPTLsPgJCFEXzZB19wYQGGPnIoTKd2L0y1laoNyvSDAyWjdKrNthsXhkfn3CpFtUONPpQbRWRPYjf/YJEsC7o+03P1oT8LgxNYVauBjavjB0BWkNrKz24e0Lc1f5cENPbOzs7G/v3749a5sCBA8jMzIypUnEic7pNiKpUCSgG/ek24aJ3p49EfiKrWjnd3+ALycXciVckIa5/ed3s5A9lmpwS/rDdhpAmRgFpegaSjJBUerJMsLbCgxQdjZYAEbo6u4h3DongGQo0jbBpAPUshatLe78r9GXQjk5REos5YV60Rp7GjSP1+OuermwOdq+MnbXdZxQIJM/E4FBj19+HGoWIiv2STHCwUS2Sk29ikKxjcMNIPRYXyzjYKKDWJsIjEXA0hTQ9jYmZfFSD9kJCE+ZrNjmlDnfhUGRC0OxUL6D0NlQCAM6cOaP6e+zU2X5DvpMZC6/C/956RcmxHXDeUDDmzVoav5hvxhNr21XCTdHIT2Tx4BBJgTlUmJTJq3ada2wizrQLKE4K9bZp9yjjQSCTw7jHd8cl+RrsqNViU7V6st3iklQiroFQFPDw9ATo2IFNRQt0ZDYp0mJ2ngYHG3042izA6pEhEcDIUxiWpKTQS9Ypg8W0bB45CYzKIC9rFfDnNgH5iSwMHIWzNims99P1wy9cIdHzjVckONTkw+46X0h4SKqewdRsHhMz+H5JeTkYcDsd8Lpd0BqM0OrUmwIbqjyqxTKaovC1MXok6dQvPJOGxm1jDPjzLptqXrTytBv3TBy8xm6TU4JLJCqPulm5kRc4ZuZoVMa8WyCo7GZhM05sxGTMX3rppXjrrbfw4YcfYtmyZSHHP/jgA+zduzceL38O6G5HsLflLkYuK9KqBpgGh4TN1R5ckq/enZBkgs/L3Kp4cYoCFhVduBOD5eXukJ2b8Rk8FhRq/enUmpwS1lZ4cCogjtwpECwu1uGr0+4QI8InESDMXJKmKPx4jsk/WesNwTtd0Vy00w0Mck2sX2G+8/xcU8+Hv0VFWtVuj90r48tyN64q1aliYWVCsPK0J2RCuTgg9ZKRpzsWHqKv8l/IaFkKGQYGTQGTv911vojG/ImW0Bi8kiQW1WGEvKIhSeryOkPoxImmaWj1epUxH3zeYGZECoffXZaE/1vdHtGI62RCBo+lpboLZqI9WJiRwyNFR6uydPz3mAtLhukwLp0DS1OQCUF5m4iV5W6Vpw5NxZbFgqIoPDrLBFEO1aMIB01TuH6ELuJC9kChZSnMyNFgRjf1oCkKP5qdiMfWtCMw0S4hCAkbCGRevgYLCrW9lh4J1yM8IsHRZh8aHDJ8Aa7Wo1K5i7IPlbUJ+Msee8TwsRaXhC/L3dhc7cWtvfSGG0z4vB7sXLcSW776FLUVZf7PC0pH45Irr8fUeZeD5biQjZ8RKWyIId+JlqUwKYNXZck51hxZMG8w4AnaSTTwdFQvokQtDSNPq97dDiFum5wLYjLmv/3tb2P58uV46qmn8Nlnn2HOnDnIyMhAY2MjtmzZgj179iA9PR3f/e53+7u+FzWSTMKmEwqHSyBR1WwvZqZl80gLMiTWVXhwqlXEpEweZi2NBoeEPfXekHRn07KVHPcDvYsxEIgyweoz6l2dMek8rh+hU7nKdar8/+uQU2VU76nz4jcLzXh4VXu3seFalsKyUXpMyer9RJIQEvJSSelmQSBVT6PG1vV3b3MqlyZzGJHCqYTw9tb7UGmVMCWLR7qeRpNLxr56X4gBNTyZxfAU7oJsM7FCURQuL9aqcnEfafIhz8RgWjavam/1dgkrytXGSUkyh2ExGPPBoq1Hdm+D2+lQGfVnThxGa2N91PMGO4VmFvdNNeJ0m4g99T6cbhf9BmOnQOPULB4pF4knyEDD0hSuG6HHGwe6dD28IsFnJ11YdZpCmkHJYhG8QAUA8/K1SNXH9o7hGcV9naWB7TW+EC8qQFmQHp7MYV6BBtkJQyu0YngKh5/PT8T/rW4Pm+4rmDHpPB6eYVIWXClFsb8ncyg9R6nmTg6fjA2VnhANlk6+PE1hQgaP+QUXzwJtWZuAJ9dZeqQD4/TJ+OdBJ6ZnazBuiHmMNtWdxV9/+Sia62tCjlWVHUNV2TGs//wD3PfT38EpmFTHu3OZDxaDcw5yPaZge8ItEAgSiRgmKcokZK6lhKnG50L9TUwjeXJyMv75z3/isccew65du7Br1y5QFOUXDRo/fjyef/55JCcn92tlL3Z62/zj3SU8NEXhO5ONeGazVfV5jU1U7d4Go2EofOMCjveps0uwedWiZAsKNGFj3miKwrwCLSosXZPVWrsEA0fjgakJONiouN0FG7aJWhpTsnhMyeKh52JTF6YoCjqOUqWLaXJGzyHcFOT+p49hF+Xbk4348VqLapLd6pKwKsouGE1RuGfShdtmwuEWZBxoVJSp7V4ZBIo3Qmmy4jbbmQVgyTAd3j/mUnmCrCx3Y0+9D6M7drrOtIsobxdCBrNrSnUxxWJedtll+Msrr/j/djlsePnpH+KaO7+D7IJhOHlgN/739iuqc9LT0jFhwoQhN57SFIXSFA6lKRwIIfBJAENj0KW+7MThk3G8RXG1loliUA1L5lRikkOJG0fqcbhJwK46tauSRyQ4aw3/nknVM/ju5L6NFzRFYWq2BlOyeFRYJFRaRLgEGTRFwaylMSaNU6nCDzXGpfP43pQEbDnrxaFGX1jjOiuBwYwcDcalq1X6zRoaLqH7BcDAFHiVFhF/3+eIarR6RYJdtV6cahMwKTO29KdDCbcg45ebrGEXxQNF0AIRZYJnN1vx2jUpfc5zPlA0NzfjxZ8+CEtrc9RytRVlePFnD2H+o39XfR6snRNM8PHB7t0RnHWoU6NicgTPyCNNofpAWUYGza7BvWgxFIl5WbawsBAffPABDh8+jEOHDsFutyMhIQHjx4/HuHHj+rOOceL0O3PztLhnooQXdtq6LwzlBfXEXJNfzO1CxBGk2J6opaPGcBckMmBoSjVYW7wyNCyF6TkaTMvm0eKSYffJIETZEUw30P2S/qokicPhpq649N11PoxL58IaeLV2MURdtiSZ6/Xu/Jg0Ho/NMuF326zdF4Yyqb5+pA5j0obWTkSsCBLBqjNu7K71hewqWj0yam0iNlV5MSGTw5JiHcxaGt+aYMTf9tlVZZudEjZGSc3VmQYoFuM6Pz8fs2bNwqoNW/2fVZUdw8s/ezjiOTfedBMYZmh741AUBc0gHboaHBK2nPXieLOgUngGgLUVHuSYWMzO1WBU6iD9AhFgaAo/mZuI57ZZe+T2npXA4PaxBiRo+sfQpigKxUksipOG1u/WE8xaGleX6rC4SIsTrQLa3TJEQqBnaRSYGeRE8DgYlsyhySlF1R1iKeX9AACNTgk/Xd+z3WcAsLhl/GyDFS8sSfaHpV2IrKv0hizUZycwWFioRVGSkp6swiJhfaVHtUFi8cr46rQb14/oncv9uTBxRVnZVdawVMQ5ycsvvditId9JU201qg5tBzJn+j872uzD5cXasDvXhBAcCNLW6U3o3/kgQUNjciaP/Q1d9V5X6UGhmQkJl2x3S1gTJJbXpQs0uMMJhiJ9bjnjxo2LG+9xhiQ3jNSjxibiy9OhyuiBpBkYXDNch6kxuIQPJYI37EQ5eo5SmSBk8h14DYpS3EnTzkGaxCtLdCpjvsYmYk2FB4uKtKoXc6tLwsfH1RPpJC2Nadk8NlX3TgQPAOYXaJHAU3h6ozWsC2snyToGS0t1F+REOhw+ieAXm6zYfjb6byoTgv31PjQ4JMzN0+C6ETq0eSS8vj80zWA4ck0sfjI3EQwdu2DXI//3KLbsOQyXo/uFvPySkfja7bfHdJ843bO52oPX9kdOgQkAtTYRHxwTMSWLx6WFWpybqf25QcNSeGKOCSYNjV113rCx3ekGJbRkYmb4NGtxIqNhFff2ntKZfztSRiCWAsam8/6d47/ttYfoD1EUMCyJQ6qeRpNTwhmLqPIcanRKeH2/HY/OSozpOw12CCEh2QKyE1h8c6JB1X6Lk1gUJBrwz0NOVAd4oiwvc+OGkfqYQx76gs2rhMIdaPR1ZTGigNwExWtsTBrnN7zb2tqwZs0a1flZ+cW4/u77UTB8FMqPHMAnb/8FrQ11/uNnVv8TCV+fDppWFnLcAsHycjeuHa7W1iGEYGOVN0QwcHHRwGaViIWlpTqVMe/0yfjrHgcmZ/EYkaLMd061itjXEOo1Eyx23OyUcKxFgNXbseHDUShJ5lCQyFwwWRAGiotjphknTgTGpPMYmcrhRKuAAw0CmpwSfDKBlqGQY1IG+MKLZGBJDNoRcvpknLVFVhg/2SqGiAql6GjUDkD6nzl5Gpi1NNoDUnBtO+vF4SYB49I5GHkaZ60iTrQKIXW8qlTXbd7nYAJLj8/g8cA0IyosIvbVK2JInXlnM400JmcpOb37wwNhqPCnnbaQXYZo1Nsl/GarFb9dlIS7xhth8chYX+mNuECiYSlMyeKxoEDrd9OPlfz8fPzgmRfxt189FnXXpXjUOHznyd9Cq+3/CZYsy/B5PeA1Wv/E72JjV60Xz2/vWQpMQNGo+Ps+B74/zdR94UEERVEYncZhdBqHVpeEGrsEr0jAMxTSDDSyjRfH+2WwkG5gMCtPi9NtAixeGS6BQM9RMGtoDEvm/Cl9GxxSSNaTXBOLG0fpVbvurS4JHxx3qdKfbqzy4p5JMhL4ofFce1PLNreMapuoOmdRkSbsQhRDU1hUpMWbAdoR9Q4l9COWkIdYkYmSUm3rWW/IBgRIV4jlmgoa1w7XYWGhFhs2bIAodi1CsByPB37+R5hT0gAAE2cvQEZuAX79gzv9Icbe5iqUkFY0I81/3sEGH2psEqZm8cg0Mmh1S9hXL6DOrl7YyzIymJzFY7A7gE3L5jEhg1e970VZCTPZFSVL0Ng0DrNyNZCJErqyqcoTNmXn1rNepOoZzM7TYGLGhR2u0p/Ejfk4Fz0MTWFMGn/RuENHIsNII8vIoCFgUrL6jAd3TzCEvKi9IsH6SrUL1ahUbsBcqHiGwoPTEvCrIN0Du1fGtii7w4WJLG4aqQdDU33aGaApCsOSOAwLk2rqYuN4i4ANQW0BlBKWMDJFWdQoaxNwqEmAHDBTOdQkYOtZL2blajA2ncfoNA6VFhGHm5SV+s646WIzi3Hp/ZvaKLeoFD99+V1sW/MFtnz5PzTVVivVpigMGz0Bl1x5AybNWdivhjYhBMf27cTmlR/jxIHdEAUfKJpG4fDRmLPkOkyZexk4/uIYg9yCjN/vsIVMXBlaSUnGMxSqrGKIe/MXZW7MztVgfC92YwcTKXomLjo4COjcoQcie599edqtWgjmGQpfG6sP0XpJ0TP42hgDXtpt9y9MiTLBmjPKDvRQoDfvQ0FWG/8cQ6EwSvhhnomBlqNUKdha3TLGpvO9CnmIFZkQ/GmnHZuDUjaGw+mT8Z+jToxM4dDQ0KA6NmL8FL8h30lWfhHyho1Edflx/2dTqNNYy6SrtGBaXVK3oTb3TjKCpqjQxYZBBk0p4UM/WtuOQz1cwM8wMnhybiJoisL/Tjrx9iFHVFGvFpeEz066UGnhMT9CCuA4agatMX/o0CG89NJLOHDgAARBQElJCe6++25cc801MV1PEAQsW7YMJ06cQFFREb788st+rnGcOEMbmqJwZYlOtYpeYxPx2n4H5uVrMTyFhUwU421TVeguaiz54vvC7Dwtvj9Nxm+2WnuUdihVz+Dn8xOh65iMDeTOwIVMsMslz1C4c7xBFf83Oo3DnDwJbx10qhR7vyhz+/PU0hSF4iQubC7uc4FWb8DCa2/FwmtvhdNug8/rht5ogkbb/+3Y4XDgL794DCf271J9TmQZFSeOoOLEEaz68B1876fPIz07t9/vP9hYX+UNMdQnZvK4vFjr758yIdjf4MPKco9q9/5/J91D1piPM/iI5BURnCZsQkZk0dZELY1RqRyOBIR+HW8RcEP/VfOc09P3oZEL/b26M7XCHe9tyEOsvH/UFbLxEA1CgBd22jCLNqs+dzntYcoSuIM+z9b48PhME369pWfaOgBwRYmu29SMg4kEDY3nFpnx2BoLjjT7IhvmHYv6V5fqYNLQWHXGjb/vi27IB3Ko0YdX9tjxyMwLM2SlPxmUxvzOnTtxzz33gOM4LF26FAkJCVi1ahUeffRR1NbW4nvf+16vr/nKK6+gurr6HNQ2TpwLhyXFWnx60qXKj9zokPDBMWeUs5TV97n5Ax/vtWSYDmdtEtZWuENE7jphaQoTMnksKtSoBP16K4YUJxSvSLDlrHqidEm+JqyQT6qeweJiLf53wuX/7FCjT+Weer4wJJhgSDg37ts+nw8/fPghnNh/IGq5ptpqvPjT7+PR3/0dKMw/J3UZLKwMSjVYZGZx7XB1hgKaojAlSwOfBFXGiD313kHRZuJc2DiD8mH3JM3Ykaauv4MFZQc7PX0fBi+kCRJBlVWKuDtfZ5dUmWcA+MMUVCEPHhlOAHpOyV0eGPIQK06fjP8GzV0oCpiYoWhUJGqUsMAdtV5VhgmRAOX6MarzKk4cwZkTh1E8sksj7MjurSEp64qLizElT4tnLqXws41WtLoij1UJGhpXDNNhdNrQm2PoORo3jdJjYZEWe+q8ONna5Ull5GmMTGUxNYtHUocwnsUj45U9oQsieo7G8BQWLK1krwneJFp1xoP5BdpeaWNcjAw6Y14URfz0pz8FRVF49913MXr0aADAAw88gNtuuw0vvfQSrrjiChQWFvb4mkePHsXf//53PP7443jmmWfOUc3jxBn6GHgaP59vxo/WtMPeQ304A0/jqUsSwTOxi5L1BUWxOQG1dhGHGgW0uWWIMoGOpVBgZjE+nfPv9gUyUDsDFzJtHhlikNtlpDQ1ADAmjcPyMkoljFMdJR3khcB//vMfHDp0qEdlLa3N+PD1F3Hj1N+f41qdPzwiQYVFHXM7Ky98CkwAmJLFY0Olx++2SghwtCWuhhzn3MIHKZDbulG0Dz4+2NOMBdPT92GankZOAqPSxtlQ5cFdiYYQnRiZEKwL2hVPMzAqYdjO+xJC0G50ISkp8ljQW9ZXeuAJ+jK3jTFgeEqX8ax4VbBYXubG3vouz4p6JgP6tHzYayr9n7301EO45MobkF8yEqePH8LWrz5VXTsnOweTJk0CoPxW909VtHX21vtQ16GVwTEUMgwMJmUqgnH9Je53vkjS0lhcrMPi4ujlVp1xwxv0LC7J12JeQZfeAiEER5oFfHrSrfLG+uyUO27Md8OgM+Z37NiB6upq3HjjjX5DHgCMRiPuv/9+/PCHP8THH3+MRx55pEfX8/l8ePzxxzFhwgTccccdcWM+TpxuKE3m8NwiM364qh0WT/QJTJqBwW1j9MiOkApoIMlJYCOmJIpET8WQ4oQnWK2WZ6iIrqiA4iWRwNOq1ffgydaFhCRJeP/991WfGRIScfXXv43h46egtrIcy997DY01Vf7jB3dsRFNTE7IzMwa6ugNCuJSQ+VFSMvEMhUwjo1LEdvjkPgshxokTjTwTixMBi0YHGwXMzdeEFTYVZYJDTeoFplzT0NNG6On7cGmpHn8PSClaZRHxziEnFhZpkZugCDrW2kWsq/DgTLt6sXZpiS6iOGx/C0FuqFLvSIxM5VSGfOB9FxfrcKRZ8BucFEVh9FXfROPfn/aXE3xerPv0PxHv97Xbb1fprMS1dRQIIfjqdJDGUhqHhUHq/RRFYVw6D4ePqLyxdtd50RQlXW2cfjDmnU4nKisr4Xa7MXXq1D5XaNcuJaZw7ty5IcfmzJmjKtMTXn75ZVRVVeHTTz+NK8bGidNDipM4PDAtAUebBeyu86E2aPe0yMxiarbmglhZ7okYUpzwBHst+CSCNrcUknO2E7cghywQ6TkKVu+FadAfPHgQjY2Nqs/uffxZlI5Vdm8ycvJRMmYifv6dm+HzKpMdIstYs3o17rrzjgGv70AQJuUyHD4ZGjay8RPsstzbbBR9pbd3i48gQ5/FxVqsPtNlULS5JazrSH8a+I6QCcGXpz0qLRAAuGwIpBkLR0/eh4uLtfjvMacqm0ylRcQb+x3QczQoCiG/BwAYeQpXDItdk6S3/aohKBxnXHrk3V0NS2FECqcSdRs+ZQ5qxk1G2eF93d5r4qwFuGnZsl7W8OLA7iNodEpqb6woGgFTsnisr/T4NwsIAU61xr2xohGzMV9TU4Nnn30WmzZtgizLoCgKx44dAwDs3bsXTz31FJ5++mnMmDGjV9etrKwEABQUFIQcS0xMRFJSEqqqqkKOhePQoUN47bXX8MMf/hBFRUW9qgcZYEXJzvtFuy8hBD1S+goor5wysOfFylD6fue7rjIh8AjKzqgsEwSLbvfH/VgKmJDOYUI6B5cg+yfUCTwNXaAIDiFDrs10e81zcM/BcF5X+wUoBB+L3NZ8kjKR4hn17kmyloIhSAV5R40XV5WEn7DtqfOp1HppChhmZrGvoedp7QbT79ndeXV1darPUjKyUTpmouo6psQkjJ06G/u2rvN/VldX13HfrnsKEkGDU4k/ZWkKKToaiVp1xz8X/bC/301GTjEYAj0yDjX6OnLIh1Jrl0LiKDMN6rSU3dHX34WmAD1LwSV0f089R4Omgn63Qd5OB8M4c67r2VvGpLLIT2RRFeARsvWsF2faRUzO4pGqo9HkkrCnXgjJFz4qlUOxmVXCzi7A96GBo/DTuYl4fF17yLFIfYSmgMdnm2DSUGGv2ZNxprf9UAq6lpZF1N9HF2QRSaBx30+fx7//+jvs3vBV2HMoisK8q27Ejd98EBRF4Xz1+1gZiHp6wjyvnAQ64vk8DaTpaZUOkt0rh4SunMtxZjDRkw2mmIz5uro63HrrrbBYLFi0aBGam5tx4MAB//EJEyagvb0dy5cv77Ux73AoStoJCQlhjxuNxpCUEeHw+Xx44oknMGrUKHzrW9/qVR0AwGq1djupPxdYrZEVMEWZwNkLVxOLxQOWpgb8vFgZSt/vfNTVZhdxqp1gf7OEWjtB5/Bo5CwYk0JjYjoDs4bqt/sFn2fo+H/ZBzh90c+TZRnH9+/E3k2r0FRXA4AgKTUDE2dfivEz54HjeNV5sdJ5P0IIqstPYOe6FaitKIMg+JCQmITRk2di2oIroDcm9Mv9Au/ZU85XO412nssVKmgYeJ7DIaLaTrC/ScYZq4zOdzFPA8OTaExOp5FlVAzJOZkEKyslgACSTLCzxoMERsDENNrvTkkIwYl2gvUVIjo98yWRYEYOA+KxDZrfpb/Pc7lckCSlfcoy4PN64HA4Ql7OLqcDstw14fF6vbBYLBBlguoWEfuaJBxpkRG82ZWXQGFSOoMRSRRoijqnY3d/vpumpxOsO9vVZrZUu1FgEJChVy9OeCWCz06K/vhJSSRI0VHI452oae25Md8fvwsjSHA6u58TJBgoWCxdO7pDoZ2er3FmsM9Lbish+PUuSRW/W2OTUWOLsksoE9wyjPX336Ewh4qFbA740RQGT28T4epG9kTHANeVsCjQuFR9IxzRxhmgd/1QR0uwSMQ/zpQ1uZDBhfcAIoSgvEUZaySRABTAyV4IIo1l334E85bejB1rvkDFicPwuF3QGYwoHTsJMxYuRXJ6JjxeLywW8bzNEWNlIOopeAkksWNHoONZNLQ7kagJX2+ZELS7BEgy/M9C8LogRtBxOhfjzGAiKSmp2zIxGfMvvfQSrFYr3nnnHUyePBkvv/yyyphnWRZTp07Fvn3du6acK1544QVUVVXho48+AsP0PnYpMTHxHNQqMoQQWK1WJCYmRlyFEWUCg6XnKTbMZq2/MQ/kebEylL7fQN/zQIMXrx+zdojsUKBoCjQAWZbhkmjsaQL2NEmYms1jSbEWZrPuvPw2okzQuucA3vrjL9BUd1ZVprnuLE4d2oMv338Ddzz4JEZPntEvbUaqrMNbf/wFTh3aqzrW2lCLypNHsPqjd3Dtnd/Fgqtv9v8ufWGotNNw5xGivPj0egOCh5nO82ptIv5d1o46e6exRIPpsLEkAMfbgePtMoqTaNw0Uocbx/FYU9MOmQCMpJyz7izB/maCESmMkme+XUSzUwYo2u9mzbA0bh5nhtnMnfff5VydN3r0aDAMAwKAlmTYLW0oP7wHE2ct8JdrqqvBqcN7VbGWw0cMR2JiIj447sJbx70dOwVdz6GTOidQVyHjYCuDW0frYDbr+33sPhfvphuzWWyqaweB0mZkAO+dlDE5k8XoVA4aVlE23lnng91L+UN5GJbGtSMNSEnWw2Ab2DF/gpHAVeNVGXbBMDSFibkaVfjJUGin52OcGQrzkgVmwAEXfrvN1qPyFAU8OjsRM4oUz6ShMoeKlZkmgh9ILuxrELC33hcSQmXS0JiSxWNKJgcDT/d5nAF61w+ntjiw8rTbP84cagXmFevDauGUtQlo9UpgaAoMS4MCMLPABHuHR2JR6UgUlY6M+nuczzlirAxEPbU6AoPGCa9E/M/ipI2N6I11ul2EW5LA0PA/i5FZJtTY1Eb5uRxnhhoxGfObN2/G4sWLMXny5IhlsrKysGPHjl5f22g0AgDs9tAUBoCycx9p176To0eP4q233sL999+PESNG9LoOQP8LcfTmvpHuTVGd/9O7aw30ebEylL7fQN5zT70Pv9hkDVHLpYL+H1DcmC0egoVFOnDn4bc5fvwYXvjpg/B5Iq++29pb8ddnHsN3nvgNFhZd1qc2Y7G044UnHwhZOAhE8Hnx0esvwu10YNETD/S5bw+VdhruvE5XtLDHKAp1dgmPrrFETPMXyJl2Ea8fcOHNa3W4a7wRbx10qI63e2TsqI3sPn9ViQ5j0zWKK2ofvh8hBDV2qSOTgQSJKG7c+YksJmZ0ZTI4H89hzJgxKCwsREVlJQgAObkQf1t7Asm1SdCYkiG4HWgv3w85fTTohqOgiAyW43H55Uvw76MuvHPY2SOXvxqbhLcOuXBpoQ5JOvqcjN39+W4alqyIH62t6JpkSTKwu86H3XWR20yansa1I/RKPQZ4zNdzijhTd2rfwZkzBkO/H+jzuhtnhtK85MpSPSptEpaXuf2pt8Jh1tG4plSHBYVdKRaHyhyqL/fT8wzm5jOYnadBo1MOSE+mCFcGit31dZwBetcPlw7XYWWAkJpLIPjXYSeuGa5HplHZ5JMJwbFmAcuD0mVmGBlMydaEiOj1tO5DpX0PRD0ZhsL8Qq1K1G5bjQ+lKVxIGluHT8aKcrXxnZ/IojSZQ409eA587saZoUZMxrzVakVOTk635Xy+nsdBdtKZcq6qqgpjx44NuW97e7s/9UMkTp48CUmS8NJLL+Gll14KOV5RUYERI0YgISEBe/bs6XUdzzf11RXYvPITHNq5CTZLG1iOR17xcMy+/BpMnrMIHB9P4XChUGsX8ewWK8See5SivE3A6wcceGDqucmbHQmfz4efPPFEVEO+EyLLePtPv8Rdi6cgLSU55ns+99vfRDXkA1nxnzdw+5JZmD51Ssz3u5DxiAQ/22iBpZsUTIG0uSU8u8WK319mht0rhxj0kRifweO7k42xVtXP6TYBayo8IUJHAHCiRcDaCg8mZnBYdJ7EqCiKwu23345fvPxPeEcvA0lU3puNNg9g64inTxoGTBsGymMFd/h/mD2uEGfcOvzrsCXsNRM0NFwCCdmZanVJ+NNOG365oHuXvMHAD6aZ0OiQsL2mZ5NlPUfjF/PNMPL0eUmBCcSzX1ysjEjhUJrM4mSriH31PjQ6JfgkAp6hkG1kMCWLx7BkNqJK+8UATVHIMjLIMp57Ff+e9sNhSRzGZ/A4GCBqV2eX8OpeOzKNDBI1NOocUthFmuuG6y/q59nfLC1RG/OiTPDGAQfGpfMYlcqBZ5Qd+b31vpAUdktLdUPSwB5IYjLmU1NTUV1dHbVMWVkZsrKyen3tadOm4dVXX8WWLVuwdOlS1bGtW7cCAKZPnx71GoWFhVgWQVXyww8/REJCApYsWQKdLnZVzfOBLMv4+I2XsO7T/0A2pkFOKQFJ1sMnizjV1oLyF3+LFf9+Hd954rfIKSo539WN0w98cMwVMrBlJTCYlatBfgKDZpsT5XYWu+sFyAET3OVlbtw62gCzduDSN61fvx519WrBr8y8Qsxdcj1YnsOOtStQefKo/5jH5cSn//sf7r2n95oWgCLCuX79etVnxsQkzLvyBqRm5uDQri04sE19/L13/xU35iOwtsITsiNv0tCYnadBSRILmQDHWwXsqPHCHSB4d7xFwJ56Ad+caITDJ2NTdeQ0Msk6GrNyNZiSxfc5C8LyMjf+dcQJRLHrJJlgb70PVVYJM3I0yDQOfArFgplXAWW5ILbQuL5AiDYRZO53kDuzCB8ed4Ucn56jwaxcDcxaxZg93iJg9RmPaiK6q86HKquInITBnxZLw1L45QIzfry2XRFAjPIcsxNY3DRKh/zEvj2/3ra4cOXj2S8uTmiKwqhUDqNSL+40Y4OFnvbDH84w4eGv2kIM9gaHFHYRGFDU1K8dros2JMXpJcVJHBYX67AqIEMEIYr4aWAGgWAKEtk+ZUC4WIjpzTh79mx8+umnOHXqFIYPHx5yfM+ePdi+fTvuvvvuXl971qxZyMvLwxdffIG77roLo0aNAqC417/yyitgWRY33HCDv3xbWxva29uRlJSE5GRlh2/y5MkRQwA+/PBDpKam4tlnn+113c4nhBA899xvsXrnCYiz74OcGsZY9znRUL0Lf/rl43j0l78HCqPH98QZ3LgEGRuDXLxGp3G4aVTHijEhYCUaJek6jEnj8eZBh98lVybAynI3vjbWEObK54bPPvtM9XdOUSke/d3f/Z4isxdfi1ef/TGO7tnmL/PF55/HbMx/8cUXqr81Oj0e/+MbMKemAwCmX3oFvvzvW/ji3X/4y2zduhVtbW3+sSKOAiEEy8vUHhVpBgbfmmhUxf+mGRhMzODx2n6HanL0RZkbU7J4jEnnMTqNw1mbhOMtAmxeGQRKBoThySyKkvpn92pztQd/3WuPagAG0uKS8PONVvzp8iRw4XKjnSOqrCKe3WpDZm4+fLX1cFgtEctq9AakZmRj1VkCnvEige+q56VFWszL7/IuYGnF1bQgkcUre+yqBb/lZW58px+8HgYCnqFwzXA9LsnXYl+9D4ebfbB5CGQQ6FkaxUkspmXzyDMx/WI0MzQFfVD2hUjoOarbBae4IR8nzvknWj/MNDL49UIzvv9lG6w9yIAxPIXDE3MSwXTEW19s+CQCl0CUzAEc1a/x49+floAWl4SNVT2LYTfraDw9LxE8c3E+i94QkzF/33334auvvsLtt9+Oe++9158qbuPGjdi/fz/eeustJCUl4Z577ul9hVgWzzzzDO69917cfvvtuPrqq2E0GrFq1SrU1NTg4YcfVqWZe/fdd/Hyyy/j+9//Ph588MFYvs6QYMvWbfhXOQff9CiGD2+AWHIp2vOn4bXXXsPX5j6PeMbbocuJFhGCTPxPkKYpXFmiC2sM5SWymJzJY2991wrn+krPgBrzZ86cUf196TU3q0I+aJrGoutuUxnzZ2vOQhAEcFzvdzuC7zd13mK/Id/JgmtuwfJ/vw7SoRQuyzIqKyvjxnwQjU4Z1TZRNVosGaYNySMPKLv1Cwq0+PxU1+7x3nqvX9OBopR49b7uokbCJxG8vDtUUyVRS2NcOg8DR+GsTcSJFlGVBq/SKuKTk27cMlp/TuoVjrcOOuAWlF2j5LRMJCQmQ7DUg5zaALHpNBhzJpjS+aDSiqHR6kABcPtk2LwSjLzy++k4CrNzw+fkNWloTM3msbW6a9Fve413yBjznZi1NBYWabGwSKukBgLOmYurWUPDJXSvCWHWDJxXU5w4cc4d+YksvjvZiO01Puxr8MEZnBYEitE/I0eD8Rlc2PfeQCNIBEebBVRbRXhEApZR0pGOz+CR1M8el6JMcKJFwJ56xbOrc5GcoSmMSGExLVuDgsS+L6jyDIWfzUvET9YT7K7zRRUxHJ7C4ZrhOqQbQr3MPCLByVYB7W4Jbo8Es8GLwiRuQEI8BisxzbZyc3Px+uuv44c//CFeeOEFdOZW/N73vgdCCLKzs/HnP/8Z6enp3V8sDDNnzsR7772HF198EStXroQgCCgpKcFDDz2Ea6+9NqZrDmUIIfjFV9Xw5E5XtlwBgKKQYE6G3mCEKIqwtbdC8HasdvFGVGQvxprdx3HlzDHnr+Jx+kSwMmyxmYWRjzyIj01XG/ONHSnbBgpJUk+QdYZQoUp9QmgcvyRJMRnzoqjOh6MPcz9eowXH8fB5A4S2pJ6nKblYCG5reo5GkTny62FcOofPT3X9TQgiutb3N5urvSFikJfka7GgUOM3AGdCg1aXhPeOuFQ5yleUuXDjyIFx2WtySthVq/asGZ9twI2LxoOlJ/g/I4RgU7UXGyqVNioRQJThjwMtTuKi7o4MT+ZUxny7e2i3b4qizukS9LBkDk1OKax4VicsBZQkx92p48S5UNBxyoLhvAINTreLaHHJECQCHUch18Qg29g/3j99xS3IWH3GjX31PnjCDFIbqjwoTeawsFDrF/HrC2faBbyyx452d+gChyQr4oDHmgUUmFksG9X3hXCWprBkmA5z8zTY3+DD0WYBNi+BTAgMPI2SJBZTs3mk6kO/W7tHxtZqDw41CRA6ctxKsgyG9gDwIMfEYmYOjzFpF9/YHfPWyYQJE7Bq1SqsX78eBw8ehNVqhdFoxPjx47Fo0SLwfRRhGz9+PF577bVuyz344IO92pE/efJkX6p1XlhxtAXlUOsPJKWmIy01GbkJLJyCjFqDEfVVZyCJHflPWQ2e29qOJTPirilDFTHIEO9utThYfEkmXWs/A0FGRgZa29r8f+/euAoTZs5Tldm14SvV3yaTCRpN+F3H7sjMzFT9vW/rWiy9/V6wAQsDh3ZsUhnynfWMoyZ4hVzLRt8ZZWll1T7wPKEXIo194avT6nCAAjOLSws1IROxFD2DG0bq8Pr+LlG+VresWvA6l6yv9Kj6H89QuGaEPsQwpygK8/I1ONEiqGI4bV4Z+gg5kaMyCCakg5nOWNvu1LAHw+7cUKA/dAjixBkoWJrCiBQOI1LOd01CaXNL+Ml6S9QYchCgrFVARbuIZaP1WBghvVtPONUq4MdrLWEN+WCqLCLePODAvHxtWEO7txh4GnPztZib37P6H2z04dW99hANqUBqbSI+sokoa+Mxv2BoppiLlT75QbIsi8WLF+P/27vvuCbOPw7gn8sCwt4uUBRBERkOEFcBcS+07lZRa91bW0etrXbY1qpV3KPaurd1/rTWDeLeWxEHKlNmgJDkfn9gIkfCCiuB7/v18tXm7rm7J+HJ5b7PbN++fWnlh2iw+16eNU5ZOT71tENzh48PhnHpcqyIk+NVrqRx2Qa4FZONxnZVr5aqMhDneZh8kZzTbTi/ICsqmdtSbSzilXiSseIICgrC/QcPVK9vhp/GzjWL4N+tLwRCIS6ePIzTB3eqHaNtbXhQUBB27tqlep0Q8xarf/wKXQeNgLV9Ddy5dB7//L2ac4xLfRc4ODhodb3KLO9yWomZCqRkKWCWT1fj6FS5WgWAmQGDt0WbzL5Enr7nlvNm1UX5lqFaZgJUM+FzguSniTJUL4cJ4l7lWRO3gU3+s50zDAPvaiIce5oB5ZD+rA8tD8/e57RC5DfW/1FCNue1tRF1Dy8MzUpfekp7HgJCqqKMbAW+PZOE50mywhMjp2v87vsStHU0gKd98RtEUrIU+O5sEjIK6qKUR2KGAj9dSMai9uW7YsrD+Gx8fza5wEA+t9sxUoReTsV0v/Jd0akileqgxrS0NNy6dQsGBgZo2rSpTnRZ0XdPE7MRlcZ98BTd2Yemg5txap1sjflonH4dryWOYMUfxwMffiJBYzvzcssvKT1OlgJczrXmcmqWAndis+Fpr97rJVvOIiJPl14v+/KtxOnZsyfWrF2L1KyPLafnj+7D+aP7NKZnGAZ9+vbT+nre3t6o71wf1+997G3z8OYVPLx5Jd9j+vXvT/clDWqa8mEkYD5262OBsFdZ6Oys3iWdZVlceMkta7bGOUsSPUoo2oOIthQsC6mc5bTuaRpTl5u9MTeYl2QrAJR9MK8MxpUKW1lCud9QwCA9m1VNZpmZzSL8dRY+qa3egpGUqcDVPOuy++Uzvp5w0az0pYfmISCkZPY9zEDke/Xfz7qWAtQyEyAlS4EH8dmcgFauYLH0cirWdxMVe46RI08y1IbX2Rnz0drRAPUsBZApclaqOf8yizPHwIP4bFx/K4VXtfJZAluuYPFreDKy8zQeMEzOTPcCVoZ3GTyk5ZkH4b+oTLSoZVBlfg+1urPu3r0bISEhSE5OVm17+PAhOnXqhBEjRmDw4MH4/PPPkZlZtBkLSf5uxkg5k4gxWangvbiM8BPcmcOzMjNw7cxRCJ6dVW0TiUS4+a58upSS0lfDhA9nS25925EnOWOpcreKxkvk2Ho3HUl5ukp1rV9+E30BgIWFBaZOnVbk9O0//Rz16tXT+noMw2DWN99AICzaj4qrZzN07dZN6+tVZgYCBv55gsXL0Vk49TyT8/CQLlXg8JMMtdbgrvlMzFjaeAwDYZ6WvXhJwV0E4/Lsz9sLoayYCLn5fJvPMkhKymUBBTwGRkIGud/mmahMHH4sQcKH8fDZchY33kmx/kYapHkqDbrVp2V8iosC+ZKpZyVEYZ0ZaB4CQjSTKVgce8odPmZhxMOopqYY7GGCgDqG6OkqxhRfM3jkacx5kyov9tAxuYLF0TzXczQX4MsmJmhsJ4JYyIOZAQ++NQ0wqomJ2lxNh/OsfFOWLkVL1ZYQdLEWYrKvGUI8jBHsLMAUXxP00DCE7cCjj5P0yhQs7sZKsfVOOpZeSsHvF1Ow4koqDj6WIDq1bBshyoNWLfMHDx5EZmYmzM0/tvguWLAAiYmJ6N27NxISEnD27Fls374dw4YNK7XMVkUpWSwEfD6MjY2Rlp4OXkIkGFaBfRtDkRj3Dp4t2iIx9h3+3bcVKe8TwJM9UR1rZm4OSTarmiiC6BeGYdDTVYzFER/HTmTLWRx6LMF/z3moZcZDkiQbsRnqN6I65gJ42QtR0j+9LDsbNy+ewdVz/yI+5g0YMLCv6QifgE5wb94KPB73Jh/cqxeuR6dj74alqhnkNQnq9Rm6fTayZJkD0KhRI4yd+zvW/fINMtLVZzhXpWvqh2FfzVfLL/mou0vOGrC5y8z5l5mIiM6Co7kAcgWLVynq3euNBAw6lOM6sPUsBZzKhGtvs+CWz4Q379LkeJPnh7quhQCZxfhiaBvmuVgLcfL5xwrtp4nZSJDIYa1hvGG2nOU8kFkaMkjL83x27a0U195KIRbykCljOTP1K7WsZYBaZgJaxqcInj59in379uHu3buQSCSwsLBAy5YtERwcXCarXSQlxCH8xEE8vHUF6akpMDAUo27DxmjdsSeqOdQp9euVJ5qHQDOaT4AUxeMEGZKyFJy/f9+GYrUJ7gwEDHq6GuFNqhzxko8B7rGnGWheo+gt0PfjsznHAzmr12gaY25qwEPb2gY4miuAv/ImCxnlNElO3koHO2M++rmJc4brfPgN5H0Ypsay4Kyycz8uG8+TZLgVI8W/kZlqqxikS3Maw268laKWmQDdXfS3IlyrYD4qKgoBAQGq14mJibh8+TL69u2L+fPnAwD69euHQ4cOUTBfQoIPsYeVlRXS0tPBCnMKm0Iux6l/duDUPzs46VlhTmusyNAIRkZGYBiAT/GL3vKvbYAb7wxxKorby0WSrcDjBAXkClZtDKKBgMFXfmY5rU0lmM3+4a0r2LL0JyQlxHG2v30ZiZsXz8C2ei0MnfY9atdvyM1ztz5o4NUc547sxZWzx5GRnjOQWiAUwbtVAPy79VU7piRcPJri25XbEHb8H4SfOIj38bEAAIbHg6tHU7Tt8ika+7Sm1rdCOJoLMMLbFGuucytFsuUsniVmaz6IASb5msLSkFduAWT7uoacYD7yvQxhr7LQshZ37HxKlgL7H0o4x1oY8tCilgEuv8kq8zG+n9Q2wMYPS9MBOV/Fnfcl6Ocm5kwgJMlW4MCjDE43QbGQhz4NjdQeZJTpNbE15mOij/qKDpVRSYKktLQ0zJs3D6dPn1ZLd/PmTaxduxbDhw/HiBEjSqXyT6FQ4J+/V+G/A9uhyLOSxsunD3Dm0C40adMOg8bNhKFR+famKk2ceQgyFUhHTjm2MKy68xDQfAKkKF6ncCuca5kJUMNUc3jGYxg0qyHC/3L9NuTtKVeYvCvPWBjx8r0eALjbCjnBvILNmUy2rLEsi7tx6sPI8vueeNoLcSqKxwna11xLxcXXWRrT5/Y6RYY/b6bB016ExnblM4SgNGkVzCclJcHS8uMECFevXgUAdOjQQbWtadOm2Lt3bwmzR6p9GA9qYmICSwsLJMidwYpMwEg1zzQlr+kNHp8Pa/uc2e9txfxy6f5KygbDMJjiawYWwMFHkkLTi4U8DHIXo3YBy4oVRXh4OFbOm6b28Jlb3NvXWPrNeEz8YRlQpylnX7VatdFv1FT0+XIyUt4nACwLE3NLzkzzpcnMwgqd+w9Dp35DkZaShGxpFkzMLCAy0H6m16qoVwMxshUsll5KKTQtj8egp4sRWjuU72f8SW1DbLyVzgl+T0Zm4FaMFB52QhiLeHiZLMOd2Gy1XgQd6xlBxGfKZYyvWMhDkJMRp6UgLl2OFVdTUc9SiBomfCRmKvAoPlutIqSBtRATfcxQy4yPJRGpGlvhc3M0F6B/I3GBS1dWJtoGSRKJBGPGjMGDXBN15iWTybB27Vq8f/8eX3/9dYkqAVmWxU8//oB/9x4sMN318//hfVwMJsxfBkB/71nKFnqWZfHeRAJLS/VVJqoamk+AFCZvT7HC1kuvkWd/mrR4FenyPHG4QT6TqyqJNOzPe46yIJXnLNOa++q1zfP/bPi8nGUGH8XnZC4lS4FzL7NQ1JF1WTIW888lY3lnK9gXMhePrtHq7mFhYYG4uI+tdREREeDz+fD29lZtY1kW2dnFqy0i6vxqGahmMa5WrTpMrWyR7dEbrIa2CYWFA5j6bWFX0xHCD+OIA0qwbAXRDUI+g6m+pujrZgwHc81BuqGQgZ+DAcY0M0FNs5IF8ikpKZj77ZwCA3klaVYmNvw2B1Kp5jFbPB4PFta2sLCxK7NAPjeGYWBqbgkr22oUyGupdwMxhnuZoIGNUOMqZ3weAw97EUY1MVEbv1ceDAUMRjc1Udsely7Hf88zcfCRBDffSdUC+RqmfPT9sE5ueY3xHdzYGDXzzpzPAs8Ss3H+ZSbuxUrVAnkRn8H45jkt7D1cxBjX3AQtahnAUKie4bqWAvRvZIwQT2OIy2kuAF1R1OAnd7ply5YVGMjntnv3bpw6dUqrvCkdPXoUhw8fLlLa5w/v4vC2dSW6ni6p6kG8Es0nQAqTdx6YpKyCI+X3eSauK+7wFfM8k7HGpsvVJpDLTdPEfHnPURY09SpOL6QCV1nBq2BZjfPpOJgL0M3FCIMaG+OT2oZqFeCpUgW23knXPtMVRKunfldXV/z333948uQJDAwMcOTIEXh7e8PY2FiVJjo6GnZ2dqWW0arK1ICHgNqGOBGZATCApbUtTFr0Aly8kXXzILJe3gZPbAHjxu0hr9sWhiZmqh9RHgONs1ET/cMwDNxshXCzFSI2XY6oJBkyshWQZ0tRzcII9a2E+S5dVVwHDhxAaiq3q7Wjc0P4BXWFXCbDhRP/4N3L56p97+Nj8d/Jk+jerWupXJ9wVcS4SwdzAfqb58yg+zRRhrTsnPF8ZgY81LcSVHjgGORkhASJAssuF96DAMjpXj//EwsYf/jhLq8xvqYGPPwYYInZp9/jUSEPaEDOQ1n/Rsaok6tnjZURHx3rGaGdkyHi0hXIkCkg4DGwNOTBtAq35tWzyrkXFrRaUe4gKTk5GQcPclvIxWIx+vbti3r16iEiIgJHjx7l7N+yZQvatWunVf5YlsXmzZs52xgeD76BneHi3gTRUc9w/tg+SLM+DqEKO/4PJDPGwszEOO/piJ6i+QRIYWzFPOSuYnyWKCtwadi8E1vXzqeRJz+NbIUQ8RnV5KksC1x4mYVOGuIFBcvi/CtuN3UnC0Ghq7OUBgGPgbURD4m5uvTfic1GrXwarN5nKvDqw5CFNCkLOQuIeIDya9fJ2Qi+NT/OLVDfSohWDgbYcS+dU2Fx5kUmRnib5Pv56yKtgvkRI0Zg2LBh6NGjh2pbSEiI6v+lUikuX76MVq1alTyHBP3cxDj3MlO1HqRQJAKquUDYaTrU26c+6ljXCPbG/Eo/GVJFBDsVObGNnTE/ZzkulkV6uhzGxkJobELV0qFDhzivG3r7Yszc31XjR1t3CsbimaPx8unDXMccpGC+jFTkuEszAx6aVNfN8WOfNhTjbZoc/z3P4PzY58YwQCNbETrWM1SbTKi81hqvZsLHoiBL/HghGTfeSTWulctjGDS0FSKgjgGsjTR37xPwGFQ35aM8ltUrroq4HxY3SDp+/DinBxGfz8emTZtQt25dAECXLl3g5eWFn3/+WZXmzp07eP78OZycnIqdv4cPH+Lp06ecbYMnfgOfgE6q180+aY/fpg4H+2EYRVaGBP+dPIlewT2Lfb2Sosnayk553WuIfmpkJ0JEtFQ1WbWCZXHgoQT9GxnDIE/ZuBSdpbYWffu6xeuFaCLiwb+OIU48+zgO/lJ0FhgGaONooKqsT8iQ48SzTLxK5l6vm0v5ze3hX8cQ+x58HKp29a0U7nZCOOQJ6GUKFkeeZKgi99QsFjwGEItyxtDXsRBwAnklIZ9BsKsYf1xOheJDrJQtZ3H2RSa6l+P7LCmtgvkWLVpg1apV2LcvZ/3oTp06ISgoSLX/2rVrqF69Otq3b186uaziapoJMLu1OeadTSryMU6WAoxsUlCoXzh9+XGviGCnsk5so1AoEBUVxdnWLngAZyIogVAI/2598fcfP6i2PY98DlJ2aNylZm62QjSwEeB5kgy3Y7KRmKGATMHCSMCgtoUA3tVEBdaul9da46YGPHSsZwT/2oa4F5eN6FQZMmUsRHwGtmI+POyFej3evaLuh8UJkiIjIznHtmnTRhXIK/Xs2RPLly9HSkoK5zhtgvm81zOztEazTzpwtjnUdYGrZzM8vHnl43HPuceVl8r6m6YryuteQ/SPkYCBf20D/Bv5sZfO8yQZQq+kokk1EWqZ8ZGSpcCtmGy1yfJMRAzaOhZ/SGGwqxgn86xeE/E6C1feSFHdhI9sBYsYDcupWhjwEFC7/NZu71LPCPsfSlRzOSsULDbdSkeTaiJ42AkAKYsHKVJcipZyZuiXylmYGfBUS7x6Vcu/UcLUgAdnSwEe55pI8FVK4c9bukTrwbX+/v7w9/fXuM/Pzw8HDhzQ9tREg+Y1DPBDgAVmnUpCaiHdNb2ridClvlGJu13r0497RQQ7lTHAUigUqlYiJSNj9RmyxaZmnNcyuf6v06nLituluCrhMQzqWQpRz7Jk7708Hq4NBAyaVBfpbG+Hkqio+2FRgySZjHuPMjMzU0vD5/MhFos5wby8CHOHaJL3OLGJqcbZ8fPeS5VzlVREZXpl/E3TRRTIk7wGuRvj8hspknKNh0+XKnD+ZWYBRwEjvEzUWu+LwslCgJFNTLHqGndIpVzBqlUYKPF5DGa0MoORkLt6TbZUioe3riD+bTRYsLCtVhMNvHxyehGXkL0JH12cjThr2ysULK6+ycLVN1mQKxTg89TvWQwDWOYaCmBZyLCAvPs19aDTZSWbKYuUq8Z2Ikz0McX9uGxcfSvNGRvyobyJhTx42AvRtLqIs+xRSenLj3tFBDuVMcASCASwsrJCQmKiatvVc/+qLSV35cxxzmt7O/tyyV9VReMuia7ThfthQUGSvT33HnX27FlIJBKIxR+7Ut66dQvv3r3jpNN27p+813v3KgqvIh/Doa6Lalt6agruXb3ISWdrm3O9iqhM14W/ISFVkY2Yj/mfWGD26fdILXwlNQA5XdCD6mo/L1ZPVzFkChaLL6V8HFieDxGfQT83MWfZNmlWFk7u24Jzx/YjLfk9J72xmQXadA5Gh08Hl3gy4lFNTPE2TY4zUQVXbCgJ+QxcrYWQylnV23qTKodjAXMLvMnTC0Es0q9nKa2C+eK0ugcHB2tzCZIPwYeZpD3sRZApWGTKWAh5DET8sqnt1Zcf94oIdvQtwGJZFklZLCRSBXgMA3NDRuNEZkFBQdi5a5fq9ZnDuyEyNETL9t0hl8lw9sheXDt/knNMu1zDbEjZoHGXRJfp+v0wKCgIa9asUb1OTk7G+PHjMX78eDg7OyM8PBxLly7lHGNvb4/GjRtrdT1vb29YWloi8f3Hh9y1P89Er2Hj4erRDK8iH+Hg32uQlfFxPCjDMAjMNeFeeVem6/rfkJDKzMVaiN+DLDH7dBJeJOXf29FExENQXUN4lsJqMj1dxUiTsoiIzsK9OPXlXA2FDLzsRWhR04Azg316ejpC507E84d3NZ43PSUJ/9u5CQ9vXMG47xejJEtuCvkM5rQ2R5qUxdW3WQCb04s0O1sKhVwOoVAEvlAIBjkTxvZpKMbLFBnCc03cd+WNFM1riDRWer5JlanNC9DAWr8qLLUK5mfOnFlo4Kjs7kbBfNkR8BiYlHHtkT79uFdEsKMPAVZGtgI3Y7Jx9U2W2kRhTpYCNK9hAFdrAXgfvtN9+/bFrt27VWlYhQLHd/2F47v+0nh+gVCEHj3Lf8KmqojGXRJdpsv3QycnJ/j4+ODy5cuqbbdv38bIkSPzPaZPnz7g87Xr6SYSidC7d2+s37BBte19XAz+/O3bfI9xb94KNWrUUL2uiMp0Xf4bElLZ1TITYKinCd6lyXHtrRQvk2XI+NBoZy3mwcteBFdrQakOa61uykevBmJ0qKtAVJIMadk5k8eZGfBQ10KgNmSXZVl8O+ebfAP53KIe38PG379Dlz+XoySDgYR8Bl3rG6Ee+wb7L9xCZKYJFAZmYAEwChnMsuLQqp45erZsA6GQj0a2Qk4wn5ghx/5HGehW34gTr7xLk2NPrgn2gJxl9/xqld+8AKVBq2B+wYIFGrenpqbi/v37OHz4MAIDAxEQEFCizBHdoE8/7hUR7OhygHX1bRaWXUlFZj5dNZ+/l+H5exmqm/IxoFHOckhOTk4YNmw4lq4q2prHvYdPgLW1danlubIq7TGwulTOCFHS5fvh119/jWHDhqktvamJm5sbBg0aVKLrhYSE4MyZs7hx/3GhaY3NLPDpFxM52yqqMl2X/4aEVAXVTPjoWr98l5Y2FvHQyK7w1v4bN24gLCxMbXtNp/pgGAavI7n3u/vXI3Dt2jW08GleovyFHf8HO1b/DlahgAEAluFBAQY8Vo5sAGf+BV6d88DI2b/Cv7YtHMwFeJmrxf1erBRPErLRwEYIcwMeXqfmPP/m1bmeEUSltNRzedEqmO/Vq1eB+/v374+hQ4di4MCBWmWK6B59/HGviDzq0ucS8ToL888n5xvI5/Y2VY4/b6ahjYMB7E0EGDlqFB7EZeLEns35HsPweOg1bDzaduldmtmutPRpQklCSoMu3Q8BoE6dOlixYgWmTJmChISEfNN5eHhg8eLFMDAoWeuMWCzGsuXL8dnISXj59EG+6SysbTHm299hU62m2r6KrkzXtb8hIaRi7dmzh/NabGKGMXMXwsnVHQAQ9fg+Vs2fjvTUZFWafXv3lCiYP/Xff9i+8jfONoZVgFEowOSaWPTZ/dtY+/NMdNmyDlN8zfD1Se5Yfqmcxe0YKfLjZCFAPzf9WZJOqUxmLfP29kZAQIDa+DNSOdCPu+6LSZPjl/BkKDTEjbx8/n7JmQosCE9RVdb0GDwaX/2+Hj4BnSAUfXyoNTASo3WnYMxe+jcCe/Qvq7dQKRV1bGtFTyhJSGXl5uaGPXv2YNKkSXBwcODs8/Lywo8//oh169bBwsKiVK5nbW2Nab+uxuDJc1DHtRFnn11NR/T+YiLmLN+Kmk7O+Z5DWZne2sEQ7Z0M0drBEO52Ip3qFUcqnr4sJ0z029WrVzmvO/QZrArkAaCOixs69gsp8JjikEqlWPjbbxr38fjqbdLP7t/C0SNH0NBGiG/amBV5ZS97Ez7mfWIOIw1zSem6MpvNvkaNGjh79mxZnZ4QUoD9jyRqS2vUtRSgbW1DOJrxIWeBe3HZOB2VieRcS6E8jM/GzZhsNLbLGYNZu35DDJn8LQaNm6mardTU0lrrcaRVnb5MKElIZWZqaorBgwfj888/R3JyMiQSCSwsLDgz25cmvkAA34DO8A3ojExJOtJTk2EoNoaxqXmxz0WV6SQ/1PuLlIe8w5TquXmopanbgDtxaFGGNuXn9OnTSHyfyNnWtsun6Nx/KMATIOrBLWxb+RtSkz6m2b17N3oF90Sz6gYY4W2CU1GZeJyQDVbDV8NQyKBJNRHaOhrCykg/n23LJJhnWRZXr14tcRc1QkjxZclY/Pecu4SHm60QnzYUq1rlBQzgaS+Cs6UAa66nITXrY0B/5IkEje24D5kCoRAWNtot0UQ+0qcJJQmp7BiGgYWFRam1wheFodgYhmLjcrseqVr0ZTlhor+MjY0hTUpSvX7x+AGnZR4AXjzhDisyMTHR+np5G4adGrij78gpYJAzq35jn9boL5dj/a/fqNI8evQQsbGxsLKxhZ1xzpxQyZkK3I6VIkGiQLaChZGAgYO5AG42wiK33usqrYL5K1euaNwuk8kQExODf/75B3fu3EFPmuGakHL3PCln9lPVrYkB2tc10ti93ljEQysHA/zvaYZqW0S0FFJ54TX7RDsVPQaWEEJI5US9v0hZa9KkCf47dUr1+viev+Hq2QzVHZ0AAO9eReH4bu7qR15eXlpfLz4+nvPaw7dtTg+lXM3sHi1ytrG5tsXHx8PKxlb12tyQhzaOJVvzXldpFcwPHjy4wK5eLMvCy8sLM2fO1DpjhBDtpGRxl5+rbsKHhWH+tfANbYScYF6uYNXOQUqXPk4oSQghRLdR7y9S1j799FNOMJ+alIifJw1BvYYeYBgGT+/fAqvgPkP2/rSP1tcTibgz7L+Pi1FLk5wYxwnkNR0HAAkxbxD15AGkmRkwtbCCs5tnpegppVUwP27cOI0PnwzDwNzcHO7u7iWqhSGEaC/v7ze/kEBR07A5apcvPxTIE0IIKS3U+4uUJR8fHzRt2hRnwj/20mYVCjy9d1NjeudGXvD19dX6eg0aNMDFiAjV60unjyGwZ3/Y2NfIuTbL4tCWtZxjxGIxHB0dVa+f3LmO43v+xsOb3J7lIkMj+Ph3RKe+IXo9lFSrYH7ChAmlnQ9CSCkxEXJ/qN+kyZEmVcBEpLl1/mkid51NHgOY5pOWEEIIIbqNen+RssIwDH5e8Av6Dh2N6OdPCkxbo3Y9fDHjR/B42j9T9ujRAxs3bVK9zsqQ4OeJQ9D8k44wMjXDg+sXEf38KeeYTp06QSQSQaZgcebQbuxZ/4fGc0szM3DhfwdwK+Icxn2/GKjTWGM6XVdms9kTQiqGk6UAQh4D2Yd16RQKFudfZqGzs5Fa2mw5iwuvsjjbPO2pCx4hhBBSGVAg/5E0KxM3w88g6vF9SLMyYGJmCbcmvqjfuEmpfk6VfZlACwsLTPl5BY5s34Dwfw8hK0PC2W9gJEaLdl3RbdAIGBlrP/kdADg6OiIwMBD/HDup2ibNykTYiX+gUCjUKgoEQiEGDBwEADh96lS+gXxuqUmJWDlvGrp57oCdjXWJ8lsRKJgnOqOy3/zKi1jIQ1tHA5yK+jij/eXoLMgULFo7GsLSkAeWZfEiWY5/IzOQIOHOfNutvnrQTwghhBCijxQKBf7duxn/HdgBSVoKZ9/J/VtRzaEOPv1iEhp6+5TK9arCMoGGYmN8+sVEdB00AncunUfc29cAAJtqNeHRoi0MjUpvqc/Z38zB1QdRiI56WmA6hsfD4ElzULt2bSgUCixbulQtjYGRGFa21fDudRRnbH/K+wT89dcmfDVtWqnlu7xQME90RlW4+ZWX4AZinHmRidyT0l9/K8X1t1JYGfGQJQfSpeqT3NUy5cO3poHWY+apQoaQikffQ0IIyaFQKPDX4nm4dv5kvmnevYrCyvnTMHjiNwgcFlwq160qywQaGonR3L9jmV7D1NQUk35ajh2rF+LGhVNqk90BgKWtPQaM+RqNmrYAAISFheHN2zecNO17f47OA4ZDZGCAhJg32Ljoe0Q9uqfaf/TIEUwcP17vllanYJ7olKpy8ytrThYCjG1mitArqWr7EjM0z1RvKGQwu7U5+Lm66BcXVcjoDgroqi76HhJCSI6/Nm0qMJBXYhUKbAn9GcF+DeDu1rDE16VlAkuX2MQUw6fPR8Lg0bj43xFERz5BhkQCa7tq8GrpD7emfuDz+ar0EbkmzQOAmk710WPIaNVwCmv7Ghgy+VvMHzNAlSYlJQX37t1DkyZNyudNlRIK5olOoZtf6elaP6eL0y/hKVAUEpybGfAw0N0YjuYlvyVQhYxuoICu8khPTcGl08dw90oYUpISIRIZwtHZFS3bd4ejcwONx9D3kBBS1WVmZmLr1i1q2108msK+Vm08unkFsW9eqbYr5HL8/dcm/PbrryW+tj4tE5gtleJG2Clcu/Af3sfFgOHxUK1WbbRo1xWuns3UxqVXZGOBtX0NdBv0JcCySE9Ph7GxMaBhvoPk5GTOaxcN8yLY1XCApY0d3sfH5nucPqBgXo9UhZY2fbr56YOO9YyQkqXA5TdS3IqRIivPh2plxEezGiI0qSaCQSl9plQhozsooNNvLMvizOE9OPj3KkizMjn7Xj59gAv/O4AG3j4ImTIXpuaWnP30PSSEVHUnT55Eaiq3h+KoOb+hcfNWAHK64O9c/TvCjv+j2n/mzBkkJibCzIJ7T9WGPiwTeO/qRWwJ/RmpSYmc7dHPn+Da+ZOo7lgXw7+aj+qOTqp9+tBYIBZzx+y/efFMLU1aShKSEuMLPE4f0BOcHlF+eYpCn1valDe/GiZ81fsVCxnUMMnZbmfML+QMuqsiKmSsxXx0djbC1BZmGOJpgj4NxejXyBhfNjHBuOYm8KtlUGqBPPCxQia/U1KFTPmpZyXM9++gRAGd7tqwfj32rFuiFsjn9vDGZfwxexzSU7mtCfQ9JIRUdXfu3OG8dvVspgrkAYDH46HnkDHgCz62bcrlcjx8+LDU8qC8F7d2MER7J0O0djCEu51IJwL506dOYfVPX6sF8rm9fRmJxTPH4M2LSM72ojYCVFRjgYeHB+f1o1tXcTP8jOq1XCbD3g3LOJPgCYVCNGxY8iEW5Y1a5vVMVWlpq6xrpFZkbaaIz8DJony+8vpQG10VUE8X/XX9+nWsW7e2SGljXr/AjlW/o/vKhZzt9D0khFRlGRkZnNfVHJzU0ohNTGFhbYuEmLf5HldadOlZNjY2FvPmfc8JZvOTkZ6KDb/NwaA2ewBeToOarvf+CgoKwqLFi5Eal6Tatv7Xb+DUwB32NR3x8OYVJCXEqR1jZmZWzjktuTJ5so+Li8PixYvBMAx+/vnnsrhElaXrX56yoEs3v9JAFTKkPHECukwF0pGzfKGFIQV0umzLFvVxnl5+/nBv3hJx76Jx/uh+zhJLN8NP482bN3CsVZNzDH0PCSFVlYWFBef1o1tX1O6DMdEvOYE8AFhalryLva7bu3evWqWFUwN3+AZ2RqZEggv/O4D4d9GqfTGvXyDswgUE+H8CQPcbCwwNDTF48BD8sngZZ/vzh3fx/OFdtfQCoQiDh4SUV/ZKVZlEC6mpqdi/fz/2799fFqev0qjrpP6ril2fKYCoWMr7RisHA3xSi49WDgY6082PqEtMTMT58+c527oOGoERM39Ci3Zd0f2zkZi1dBNEBoaq/SzL4sjhwwWel76HlV9VmFuHkKJq1aoV5/W7V1HYvXYJMiXpAIDYN6/w1+L5nDRmZmZo1KhRueWxIrAsi0OHDnG2efn5Y+ovq9G6YzCCeg3C7GV/w66mIyfNoUMHOa91fVjs54MHwyegU6HpeHw+QqbMRb169cohV6WvTFrm7ezssGDBgrI4NQF1ndR3ul6bqU/owbX4KKDTfVFRUZx1dHl8PgJ69OeksbSxR7O27RH+78cHsshI9Ql+SNWiDxNTEVJemjdvDkcHR9x7GqXadu7oXoT/ewgW1raclmelrt26wcDAQOslevVBWloaYmNjOduCen/GeT4QGRjik659sHvtYtW255HP1c6ly72/eDwePp/4DWrWccbJ/ds0zg3g6NwAvYdPgHMjr/LPYCkpk2DexMQEvXr1KotTkw90+ctDCkcVMqWDHlxJeSnPiiOZTMZ5LRCKOK3wSmIT7tg+ubzw4Tuk8qsqQ7kIKQyPx8PkKVMwcvxkTgWpLFuqMZC3sLZFiJ52tS4OTb8VeX9PcraZcl7n/W3KSxdjER6Ph3bBA/FJ1z64c/kCoh7fh1SaCVMzC7g19UMdF7eKzmKJ0QR4lUBhXx5qvdRNVCFTOujBlZSH8qw4sre357yWZmbg3tVwNPZprdoml8lwI/wUJ52dnZ3W1ySVhz7MrUPPJaS8fNK2DYZOmolNy34tcLI3cysbTPthCWxtrMsxdxXDzMwMhoaGyMj8uFLK1XMn0GXAcE66q+f+5by2tbMtl/yVBYFQCO9WAfBuFVDRWSl1JQ7mY2Ji8PDhQ6SmpsLU1BQNGjRQexCp7ORyObKzs0t0DpZlIZVKkZmZWSZBnTEjRUZBv+wfGAkYZEsZlOzd6AeZggVPnlXk9JmZgKCCWnY15pVlIWCzc7bnKTPKvGr7HotzHMur2DpBfXhwJZVDeVUcOTo6wtnZGU+ePlVt27LsZwQPHQsP37aIfxeNI9vWq03a1C6ofYmuS0pfRQSt+jCUi3pVkfLUvXtPWNdwwom9W3DnygVOUG9kbIoW7bqg/aefo0Et/Q1Wi4PH4yEwMBBHjh5VbTu++y/wBQK0COyCrMwM/HdgO+5dDeccF0S/MTpJ66fwyMhI/PDDD4iIiFDb5+fnhzlz5qBu3bolypyuY1kW7969Q3JyMqf7jrYUCgUSE/Nf67EkTOQsjIqQRT4DPH9eNX40WRawkhf97/YyiskbM5cbjXllWbBgwWQyasG8Mq/avsfiHKdggZh3FqhRvXqF9C7QhwdXUjmUV8URwzDo168ffsq1Gkx6ajK2hi7A1lDN89HUrOMMLy+vEl2XlL6KClr1YSgX9aoi5aWelRCxDRqhzuwFSE6Mx8unDyHNyoSJuQWcXN0hMjCscpX+/fr14wTzcpkMhzavwaHNazSmNzASo0vXruWVPVIMWgXzz549w6BBg5CcnIz69eujadOmsLGxQXx8PK5fv47w8HAMHDgQ27Zt09uZAYsiOTkZSUlJsLW1hbGxcYkCGZZlIZfLwefzyyQgUrAsJNksCnqcYJDzMMGrIt29WZZFWhEesJRMhEyFdYXXmFeWhUKhAI/HUwvmlXnV9j0W+TiWRWaGBMmJ8TAWi9WWgSkv+vDgSvRfeVYc9ezZE/87fhxnwq8UmlYgFGHg2K9pqI6OqqigVdeHcmlTOUbd84k2ct+7za1sOEOWgKpZ6e/u7o5+/fphw+YdRUrfb9RUmJiYlHGuiDa0CuYXLlyI1NRU/PLLLwgODlbbf+DAAcyePRu///47Vq1aVdI86iSWZREbGwszMzPY2NiUyvnKMpgHAKGIRYZMc0DPIOdmJ+RXnRsZy7KQ8ooe6BqKKjaYV8trAcG8Mq8leY8yvgJFmczV0MgIPLkUsbGxMDc3r7DPSNcfXEnlUF4VR3w+Hwt/X4TB46bj4Y3L+aYzMjbBFzN+RB3Xyr2Ukj7ThaFAung/1KZyjLrnE21Rpb+6KVOn4UlCNs4d3ZtvGh6fj36jpsI3oHM55owUh1bB/JUrV9C+fXuNgTwABAcH49SpUwgLCytJ3nSaXC6HXC6HmZn67I+6SshnwOcBWTIWMjanezSPyfnBNBBUnRZ5UjQCBpAWIZgXMDmTqaSkpEAul0MgqPh5NXXxwZVUHuVVcWRsbIyxcxfhdsQ5nDu2D0/uXFcN6bKwtkXL9t3RunMvmFlYlcn1SemgoUD50ybAou75RFtU6c/F4/HQb9RUNG3TDmeP7MWtiLOQf5ix3sjYBM0/6YhPuvWBfZ715olu0eqpm2EY1KlTp8A0Tk5OCA8PLzCNPlMuz6ALgUtx8BgGRsKcmxfdyEhBDAQMsqWFD80wEDDAh++BTCbTu+8EISVR1vdQHo8Hr5b+8Grpj8wMCdJTkiAQimBmaU33bz1CrYL5K26ApezpkK1g8fLpQ7yOfAyZTAYzCyu4ejaD2MS0yo1/JsVH98+P6rl5op6bJ7KlUqS8jwePz4eZpQ34fH5FZ40UgVZP3V5eXrh7926Bae7cuYMmTZpolSl9os83A33OOyl7PIaBkQCFDs3gMRU3/ICQqsTQSAxDI3FFZ4NoiVoFC1eUz8SQD8TfOYM16zfh1fMnnH0iA0P4+nfE9AmjYSgwKqNcElI5CUUiWNvXqOhskGLSKpifMWMGBg4ciNDQUHz55ZcwNDRU7cvMzMSaNWtw584dbNu2TeuM3b59G6Ghobh58yays7Ph7OyMkJAQdO/evUjHX716FSdPnsTly5cRHR0NiUSCmjVrol27dhg1apRedY8npKLQ0AxCCCl9FMhrh2VZLFmyBNu2bYOCzfmNkityJvnlMQxYWRZunD6EqfcisGLFikq/qhIhhBQpmJ81a5batgYNGmDlypXYsmUL3NzcYGVlhcTERNy/fx8pKSlo1qwZNm7ciJ9zLa1TVJcuXcIXX3wBoVCIrl27wtTUFCdOnMD06dMRHR2N0aNHF3qOSZMm4f3792jatCl69uwJhmFw+fJlrF+/HidOnMCOHTtgbW1d7LyVJblcjmvXruHFixdQKBSoXr06WrRoAQMDg4rOGqnCaGgGIYQQXbB9+3ZVQxGPQa7hCdzfpbi4OEycOBHbt2+HqalpOeeSEELKT5GC+f379+e7Lzk5GRcvXlTbfuXKFVy9erXYwbxMJsOcOXPAMAy2bt0KNzc3AMC4ceMwYMAAhIaGolOnToWO2Q8JCUFwcDDs7OxU21iWxbx587B9+3YsX74c3333XbHyVlbkcjm2bduG7du3IzY2lrPPzMwMwcHBGDFiBMRi6l5Z2Zw9exa3b9/GhAkT1PYFBgbCx8cHv/zySwXkTDMK5GlpJEIIqQgSiQSrV69W225jYwN7e3s8ePAACoVCtf3du3fYtWsXvvjii/LMJiGElKsiBfP//fdfWedDJSIiAi9fvkTv3r1VgTwAmJiYYOzYsZgyZQr27duHqVOnFniekSNHqm1jGAZjx47F9u3bceVK4Wv3lgepVIrp06cjPDxcY6tnSkoK/v77b4SHh2PlypWwsqJZiyuTs2fPYuvWrRqD+eXLl9OanjqIlkYihJDy97///Q8SiYSzbebMmejduzd4PB7evn2Lr776Cg8fPlTt37t3L4YNG5azhCshxUAV90RfFCmYr1mzZlnnQ+Xy5Zz1dFu3bq22r1WrVpw02lDOtK0rMzQuWLCgSLP+P336FNOnT8f69esr5EcpIyMDRkb6OZlMZmYmZ14HXVCUzzN3ZRbRLbQ0EiGElK+8z36tW7dGnz59VK+rV6+O2bNnY8iQIaptsbGxiIqKorHzpNio4p7oC51bQyoqKgoAULt2bbV95ubmsLS0xIsXL7Q+/969ewF8rBjIj3It38L2syxbaNr8REZG4tChQ2rb69SpA0NDQ07tMpAzKeCpU6fQrl07ra5XVKGhoVixYgX27t2LNWvWICIiAgYGBjh//jzu3LmDjRs34ubNm0hISIC1tTW8vLwwbdo0VaVPWloafH19MXXqVFX3tvfv36Nly5YwNjZGRESEqlLlxx9/xJEjRxAeHp5vF25lfvbt24dVq1ap0gYEBGDWrFmc3gqBgYGoX78+Pv30U6xatQrPnj1DSEgIpk2bhsePH+OPP/7A1atXkZmZibp166LfZ0PQrUew6vhrVy5jzIihmPfTL3j44AGOHzuM9LQ0uLk3xpxvZqNRngD71KlTWLNmDR49epSzhJSXFyZMmABvb+9CP89WrVrhwIEDAABXV1dV+pMnT6JWrVqcbvYsALAs3r19g5XL/sCli+FIS0tFjVq1ENyrDwYODlFV8ryJjoZPl/b46quvwOPx8PfmLUh6n4h69V0w5auZaOzhqbpW9OtXWLnsD9y4fhXJSUkwMzND/fr1MWPGDDRs2LDIZaY0vg/6pK6lADHpcsgV+b9XPo9BPUuBTn0euf9OBaYpRp5z/ub6c1xF0Of3WJQyU6Jz68nfkBRdWZWZ5ORkzmsvLy+1azRs2BAikQhSqVS1LSUlReu8UBnNX2l+NmV5nykJCwMGEqmiCOl4pZL38i5v+nI9TccpX7IswCDvPt35DS2pogxvLVEwf+jQIezfvx8PHjxAamoqTExM4Obmhl69ehV51vm80tLSACDfCUtMTEzw7t07rc794MEDrFixAtbW1hgxYkSBaZOTkwv8YkqlUigUCsjlcsjlhbfQabJnzx7ONUQiERYuXIgWLVoAAB4/foxp06ZxxtHv3r0b/v7+Wl2vqJR5mjBhAjp37ox+/fohIyMDcrkcr169Qu3atdGpUyeYm5sjLi4OO3fuRN++fXHw4EFYWlrCyMgI7u7uCAsLw9ChQwEAYWFhEIlESE9Px82bN1XBbnh4OHx9fTnj3PLLz/jx49GxY0csWbIET58+RWhoKJ4+fYrt27dDKPy4nuz9+/cRGRmJUaNGoWbNmjAyMsLTp08xcOBAWFlZYdasWbCwsMChQ4cw/9vZSIiPx+ChwwEACjYnHytD/4BrAzfMnjsPaWlpWL96JUKGDMGePXvg4OAAADh8+DBmzJiBli1bYuHChZBKpfjzzz8xZMgQbNiwAU2bNi3w83R2doZEIsGJEyc4Kz9YW1uryhTLspDL5WABJMQn4Ishn0GWnY2RY8ejeo2auHDuLJYuXohXr17i69nfct7Dtm3b4OTkhCnTZwAA1qwKxZRxo7Dv8HGYfPh+TR43GnK5HOMmTUW1atWRmZaEWzdvIikpqVjlWi6XQ6FQICUlBZmZmUU+Tp85GijwIEEBuYbbBJ8BGlrzkJmWCV38NPI+FOcmU7BITy/63z4pKRMCHqP1cfJiHpeclAl+Ca5XEcr7My0LBZUZbenS+yOlr7TLjEAg4Pwu3bp1C0lJSZw0L1++REZGBmebXC5XS1dUVEbzVxafTVncZ0rCmmERKZFr/J1X4jOAjTkfSUmS/BMVUXmXN325XkHHSSTpWh1X0PV0iaWlZaFptArmFQoFJk+ejH///Rcsy8LQ0BB2dnZITExEeHg4Ll68iBMnTmDp0qU6M07p1atXGDVqFORyORYvXlzo2HNzc/MC92dmZiIxMRF8Pl/rLvvXrl3j1Lj079+f02OgYcOGGDt2LObNm6faduPGDQBlO0xAmafg4GBMnDiRs69Lly6c13K5HIGBgWjdujWOHj2q6t7WsmVLbNy4EXK5HCKRCJcuXYKPjw9iY2Nx6dIlNGvWDDExMYiMjMTQoUMLfD/K/LRv3x4zZuQEpm3btoWtrS2++uor/Pvvv5zKo8TERBw+fBhOTk6qbVOnTkV2djb+/vtvVK9eHQAQEBCApJRUbFizCp/27Q8TU1PwmJzyamlphYV/hKqu7d2kKfr06IINGzbghx9+gEKhwKJFi+Di4sIZ+uDv748OHTpgyZIl2L59e6Gfp42NDQCgSZMm+b53Pp8PFsCOrX8jLjYGG7fsQKPGHgCAFi1bgWUV2Ld7JwZ+HoLadeqo3oOxsTFWr1kDiSzn+nb29hj6WX9EhIehQ+cuSEpKwouo55j69Sx07d4TAGBqwEPnTp3y/Vvkh8/ng8fjwczMTOeGNJQVCwugpi2LyPfZSMpkIclWQCzkwcKQQV1LYa5ZlnUHy7JITk6Gubl5vrW9MgUL46SiV0FYWBiqfjS1OQ4AbNOzIMkuvPVDLOTB2sqgRPmsCBXxmZaWopQZbenC+yOlr6zKTIsWLTgTLp8/fx53795VDctMT0/H6tWrOc8TFhYW8PDwUPUGLC4qo/krzc+mLO8zJeVrJMfduGyNPfH4PAbutkLYGZfOM3l5lzd9uZ6m41g2J5AXi42Rt8jo0m9oedDq7rZ582acOHECzZs3x/Tp0+Hp+bHb7u3bt/H777/j5MmT2Lx5M0JCQop1buWEX6mpqRr3p6WlFXuZkejoaISEhCAxMRGhoaGqlu+CFHYzUe5nGEbrG09KSgrntfJzzH2+vEGeQqGARCKBmZmZVtcsCuX1O3bsqPbe0tPTsXLlSpw4cQLR0dGcWvLIyEhVej8/P6xatQo3btxAixYtEB4ejsGDByMmJgbh4eEYP348IiIiAOQE/gV9hsp9PXr04KTr0qULZs2ahUuXLqFHjx6qtK6urmrj4y5dugQ/Pz/UqFGDs717z14Iv3Aed27fgl/rNlDeETp26QYmV0VUzVq14O3tjUuXLoFhGERFRSE2NhYhISGcBwcTExN06NABO3fuRGZmJoyMjAr8PHOXI03vW1W+WBZXL1+GU716aKTsJv+hxb9bj2Ds3bUDV69cQm0nJ9V78Pf3h4DPh7JK2dm1AQDg7bs3AMPA3MICtRwcsWXTn5ArFGjW3AdNGzcET4uKotL4PugjsZCBu11OcKlPy/YV9HdiGEDtl7EI59L2OACwMORBIiu8b5uFIS9XWdP+euWtIj7T0lYW59al90dKX2n/vbp164YVK1ZwutBPmTIFbm5uqFatGi5fvqzq3anUs2dPTs+94qIymr+y+Gx08fOzNxHAzJCPZ4nZSMpSQJLNQixkYGHAQz2r0q24V36m6akpuHT6GO5eCUNachJEBoaoXb8hWnbogZp16uVKX7LPq7zLd2n+Fiq71mvcp4O/oWVJq2B+//79cHJywsaNG9VqOz08PPDnn3+iR48e2LdvX7GDeeWScy9evIC7uztnX3JyMt6/f88Zj1yY169fY8iQIYiNjcUff/yBgICAYuWnLBkbGyM+Pl71+uHDh2pd6O/du8d5zePxym2JutzL+ilNmzYNERERGDt2LBo3bgxjY2MwDIORI0ciKytLlc7b2xtGRka4ePEiqlevjujoaLRs2RLv3r3Dli1bkJ6ejvDwcDg4OKi6rRfG1taW81ogEMDCwkKt+1zedACQlJSkcXs1+5z3mJzMPYf1hxZz1bWYnFZ05TwG79+/z/dadnZ2qi7nuSe50/R5FkdychKq56mMAACbD+dNzvM5WFhYcF6LRCIAQFZmzt+JYRisWPcn1q9Zic0bN2Dp77/C3NwcPXr0wOTJk2km/WLSxx8AXVHPSojYdDkKiucFDOBspf1DOSFEv5mbm+Ozzz7Dxo0bOdvv37+P+/fvq6U3MzPDoEGDyit7pBIzEjBwt8t5hirLinuWZXHq4E4c2rwG2dIszr6ox/dw9sgeNPZpjc8nfgNj07Jr1NM1tLJAwbTqA//8+XMEBATk221JIBDA399fNZldcTRv3hwAcOHCBbV9YWFhAAAfH58inSt3IL9kyRIEBQUVOz9lKW+r+/bt2zmT3r19+xarVq3ipHF3d9e6u1hJpaam4syZMxgxYgRGjhwJPz8/eHh4wNXVVW2ck0gkQtOmTREeHo6wsDDY2trC1dVV9fe9fPkyLl68iJYtWxb5+nFxcZzXMpkMSUlJakGrppushYWF2vEA8D4hZ5u5BXdMSkKuShYGgIGAQXx8vOpayjEsms4ZGxur6nJemszNLRAfr369+A9zKlgUYVxNXtVr1MS3837C/06fx+6DRzF06FBs27YNv/32W4nzS0hRKR+U8mvgEDCAu50Ihjo4dKEs0QMMIVxjxoxB+/btC01nbGyMJUuWwNraukTXo+8gyassK+5Xr16FfRuWqQXyud25fAHL5kxARnpavmkqG+XKAkVRFVcW0CqYFwqFahOM5JWRkaFV1yY/Pz84ODjg8OHDePDggWp7WloaVq5cCYFAgF69eqm2JyYm4tmzZ0hMTOScRxnIx8TEYPHixUW6+Ze3Tz/9lPM6PT0dgwcPxogRIzBhwgT06tULr1694qTJvQxLeWMYBizLqlp4lXbv3q1xsjQ/Pz/cu3cPJ06cgJ+fHwBALBbD09MTW7ZsQWxsrGp7UeSd+f/YsWOQyWRFqtzx8/NDREQEYmJiONsP/vMPjIyM4JFrhncAOH7sSE7tK3ICjbdv3uDGjRuqazk5OcHe3h6HDx/mTGKonNDOy8urSEv5KT/Lokwa19y3BZ4/e4aH97m9NY4eOgiGYdC0edEqufJTu44TxowZAxcXF42tHISUJTtjPvwcDFHDhK/60RYLGdQwydleWmMS9Qk9wBDCxePx8NNPP2HSpEkaA3WGYdCyZUts2rSJMwRUW/QdJOUlIiICm/L0OslPdNRT7Fn/R9lmSMcUdanfqrgksFZNvA0bNsSxY8cwevRo2Nvbq+2PjY3FsWPHtFonWyAQ4Mcff8SIESMwaNAgdOvWDSYmJjhx4gRev36NyZMncyY227p1K5YvX47x48djwoQJqu1DhgxBdHQ0vLy88OjRIzx69EjtWrnTV4QGDRogICAAp0+f5my/efOmxvTOzs4VWilhYmKC5s2bY8OGDbC0tETNmjVx+fJl7NmzR2MrtJ+fH+RyOS5evIhff/2Vsz00NGdyuaLMX6D077//gs/no1WrVnjy5AmWLl2KBg0aoHPnzoUeO27cOJw+fRpDhgzBuHHjYG5ujkOHDuHMmTP46quvUM3aDFkyVjW05n1iImZMmYD+/foiPS0NoaGhEIlEGDVqFICcB4qvvvoK06dPx6hRo9C/f39IpVJs2LABKSkpmDZtWpHek4uLCwBg3bp1aNu2LXg8HlxdXdUqTABg4OAQHD30D6aMH41RYyegWvUauHDuDPbs2o5P+w1A7TpOascU5MnjR1j48w9o16ETHB1rQyAU4s61S3j06BFGjhxZrHORyqMiW6LKqyujPrEw4EGSXfhsvFXxAYZUTTweD4MHD8aAAQMQFhaGR48eISsrCzY2Nmjbti1q1apVqtej7yApD5s3b1bb5tUyAI2atkBs9CtcOH6A0xp/5ewJxMVNQnX7kg3h1Bc0HC9/WgXzw4cPx5gxY/Dpp59i+PDhaN68OWxsbBAfH4/Lly9j48aNSE5OxrBhw7TKVIsWLbBt2zYsW7YMx44dQ3Z2NpydnTFp0iTVRGeFiY6OBpATGOcXHFd0MA8A8+bNQ0JCAm7fvl1guho1amDJkiUlmsilNCxatAg//fQTFi5cCJlMhiZNmmDjxo2qIDc3Nzc3WFpa4v3795wW+JYtWyI0NFS1v6hCQ0MRGhqK7du3g2EYBAYGYvbs2RoD37zq1q2LHTt2YPHixZg/fz4yMzNRr149LFiwAL179wYAGAkZiD904502dQru3LmDb2bPRlpaGjw8PLB48WI4Ojqqztm9e3cYGRlh7dq1mDJlCvh8Pjw9PfH333/nOzt9Xt26dcP169exbds2rFixAizL4r///tP4MGJpZYX1m7dhxdIlWLFsCdLT0lCzlgMmTJmGQUOK/12ztrZBLQdH7N25HTHv3oFhAAcHB8yYMQODBw8u9vlI5aBsiZJkFz4hXVm2RFEgn4MeYAjRTCgUwt/fX22uodJG30FS1mJiYnDp0iXOtp4hY9G+92eq137tu+PniZ9Dlp0NAFDI5fjfsWMYNrR4c5PpK2Vl/91YqcbvYlUdjgcADFvQYuoF+Ouvv7Bw4UK17tUsy0IgEGD69OmqNcYro8zMTDx//hxOTk4lXoorKysLa9aswd69e5Gezl0vUSQSoVOnThg/fnyhy+lVVqGhoVi+fDkuXrxY5p/BpUuXMGTIECxduhSdtFiiraywLIsUKZt3IxQKRc6yeHkCHzMRoxoWoXZcAZTHFVdpfh9I2WFZVjXPREF/57uxUrxJK7wlqoYJX9WSLlOwOBVV9CVgAuuUfImb8rxeSZQ0r7Hp8kIfYMpqGEJRy4w29OlvSIquLMtMRanI76CukitY/FeM72+7Oob5Vv5WxjJTHBcvXsSECRPAAkjNUkAgFOG3rf+DyMCAk27Tou9x9dy/qtf9grvixx9+0Pq6+vi7nSFjc1YWyFQgLikVthamsDDUvLJAaZZRXab1TGohISEIDAzEwYMH8fDhQ6SlpcHExAQNGzZE9+7dizxDOQEMDAwwYcIEDBs2DGFhYXj58iXkcjmqV68Of39/tQneCCGkLFFLlG5RzidQHksjEULU0XdQna704qoMZDIZ57WBoRGEGnqdGptZFHhcVaBsoWdZFu9NJLC0NMi3AqiqlFGtgvkDBw7A2toabdq0wbhx40o7T1WWkZGRxrXICSGkPFF3Nt1D8wkQUrHoO6iO5hMoHXnnH0tPTcaj21fRwLO5alu2VIpbF89w0tlpmLesOPR9tYaifAerQhnVKufffPONxqXjCCkLEyZMwKNHj8plmIGvry8ePXqkU13sCakINLt86SntByYKIgipWPQdzFHPSpjvkqJK1IurcM7Ozmo9mv9aPB9Xzp5ApiQdUY/vY/WPXyEpgbs8cbt2JVtyuyqs1lAVyqhWLfO2trbI/jABAyGEkMqJWqJKR1Xp6ldc+t4qREhVR724SgePx0Pfvn2xaPFi1bbUpET8tXhevsc4OjfUatWwvCp7y3VVKKNa/WWCgoIQFhYGqVRa2vkhhBCigwoL5CkwKxitkauuKrQKEVLZUS+u0tGnTx80bty4SGlFBoYYMParUqlgL8+W64p6TqjsZVSrlvlJkybh+vXrGDduHL7++mvUr1+/tPNFCCGkAslkMpw9exbHjx9HdHQ0eDweHB0d0bVrV7Ro0SJnFYVcqPW5YDSpoGaVvVWIkKqAenGVnEgkwuIlf+Dz0VPw9N7NfNOJTczw5ayf4VjPtVSuW54t1xX5nFCZy6hWwXxwcDCkUikePHiACxcuwMDAAFZWVmofDMMwOHnyZKlklBBCSPm4du0avvvuO7x7946z/cGDBzh+/Djq1q2LH3/8ES4uLpz9FJjlryp09dMGVXIQUrlUpiCpvJmZmWHij6G4fuE/nD+2D8/u31bts7C2RcsOPdC6UzDMLEp3DqnyXK1BF54TKlsZ1SqYZ1kWQqEQ1atXV9te0GtCCCG67eLFi5gyZUqBS95ERkZixIgRWLt2LRo0aKDaToFZwWh5K3VUyUEIIR/xeDw0a9sezdq2R0Z6GlKTkyAyMIC5lU2ZBqHl1XJNzwmlT6tg/tSpU6WdDwJAKmdxPzYLCRksFCxgaciDu50QJqKq14pFCCl/ycnJmD17dpHWrpVIJPj666+xd+9eCIU5P7oUmBWuMnf10xZVchBCiDojYxMYGZuU+3XLo9KAnhNKj1bBPCld8RI5DjyS4PizDKRJuSXbQMDAv7YhejUQo7Y5/bkIIWXnn3/+QWpqKmdbgwYN0L17d0ilUuzfvx8vX75U7Xvz5g1Onz6NDh06qLZRYFZ0FMh/RJUchBBSNdBzQukqcXQok8kQFRWF1NRUmJqaok6dOhAIKOgsqhvvpPjxfBIk2azGB5gsGYvjzzJwMjID45qbobOzUQXltOytXr0azs7OCAoq2bqZmrx+/Rrt2rXDggUL0Lt371I/PyGVwcGDBzmv/fz8sHTpUtVkd/3790dISAiePHnCOSZ3MA9QYEZKhsoLIaQqqkqrwtBzQunROupOTEzE4sWLceTIEWRmZqq2Gxoaolu3bpgyZQqsrEp3gobK5naMFHPPJEGmKHxuATkLLLucAh4DdKxXOQP6NWvWoGPHjmUSzNvZ2WHnzp1wdHQs9XMTUhkoK2ZzGzx4MGfWepFIhIEDB2L+/PmqbU+fPi3wvPQDTQghhBSuqq4KQ88JJaNVMB8TE4OBAwfizZs3sLKyQrNmzWBjY4P4+Hjcu3cPu3fvRlhYGLZv3w57e/vSznOlkJGtwIKwZI2BvKO5ACI+g8j32ci7O/RyChrZClHLjHo/FIVcLodcLodIJIKXl1epnTczMxMGBgZ0AyKVhkKhUNtmYWFR6LaijK8nhBBCSOF0YbZ3ol+0Kgm//fYb3rx5gwkTJuD06dNYt24dFixYgHXr1uH06dMYP3483rx5g4ULF5Z2fiuNk88zkZTJfXj2qSHC2q5WWNPVGqGdrPB3Txt0rc9thZezwMHHGWWat9DQULi6uuL+/fsYP348mjRpgqZNm2L69OlITEzkpFUoFFi3bh06deoEd3d3+Pn54euvv1Zb0ur+/fsYNWoU/Pz84O7ujtatW2PkyJGqdK6urpBIJNi/fz9cXV3h6uqKwYMHq46Pi4vD3Llz0bZtW7i7uyMwMBDLly/nBBKvX7+Gq6sr1q1bh5UrVyIwMBCNGzdGRESEat++ffs4+bp69SpCQkLg7e0NT09PDBgwAGfOnOGk2bdvH1xdXXHhwgXMmjULLVq0gKenJ6RSqcbP79KlS3B1dcWhQ4ewcOFCtG7dGt7e3hg9ejTi4+ORlpaGb7/9Fr6+vvD19cWsWbOQnp7OOQfLsti6dSt69uwJDw8P+Pj4YOa0SYh+/Yp7rYhwTJ80Dt2C/NG6mSd6d+2IBfO/w/v37znp1q5cDh+Phnj29AnmfD0NAS2bo5N/a/ww9xuk5RkjfezYMfTt2xdNmzaFp6cn2rVrh1mzZml8r6TyEIlEMDc352w7fvy4Wrq82+zs7Mo0X/mpSt0RCSGEVA31rIQobMg4zfZOctOqeffChQto06YNxo0bp7bPwMAA48ePx40bN3D+/PkSZ7AyYlkWh59wA/JGtkLMaW0KYa75BqzFfIxvbgY5C/zv6cf0J59nYJinMYyEZVsrN378eHTq1AkDBgzA06dPsXTpUjx79gy7du1SzV79/fffY+fOnfj888/h7++P6OhoLF26FJcvX8a+fftgZWUFiUSCYcOGoVatWpg7dy5sbGwQFxeHS5cuqYLYnTt3IiQkBL6+vhg7diwAwMQkZwbPuLg49O3bFzweD+PGjYOjoyNu3LiBVatWITo6GgsWLODke/PmzahTpw5mzJgBExMT1K5dW+P7u3z5MoYPHw4XFxf89NNPEIlE2L59O0aPHo3FixejS5cunPSzZ8+Gv78/fvvtN2RkZBQ6N8SSJUvg6+uLBQsWIDo6Gr/++iumTp0KgUAAV1dXLF68GPfv38eSJUtgbGyMOXPmqI6dO3cu9u/fj8GDB2P69OlITk7G8uUr8MXgQdi6Zz+srW0AANGvXqGxhxd69u4LYxMTvH0Tje2b/8KgQYNw6NAhtTzOnDoJ7Tt2Ro/en+Lpk8dYuXQJAODb+T8BAG7cuIEpU6agS5cuGD9+PAwMDPDmzRtEREQU+F5J5dCuXTtOhdeWLVsgFovRq1cvSKVSbN++XS2YL4thMUVRVbsjEkIIqbxotndSXFoF81KpFG5ubgWmcXd3x/Xr17XKVGWXkKHAy2Ru19QBjYzBy6fL9oBGxjj+LAPshy91RjaL+/HZaFrdoEzz2b59e3z99dcAgNatW8Pa2hrTp0/HsWPH0KNHDzx79gw7d+7EoEGD8O2336qOc3NzQ9++ffHXX39hypQpiIyMRFJSEn766SfOg3/uYNnLyws8Hg9WVlZq3eFDQ0ORnJyMI0eOoEaNGgByJuYyNDTEr7/+ii+++ALOzs6q9AYGBtiwYYOqwgHIabXPa9GiRTAzM8PmzZthbGwMAAgICEBwcDB+/fVXdO7cmdON3s/PjzNWuDAuLi6ciobIyEj89ddfGDx4MGbMmAEAaNWqFW7evIlDhw6pgvmbN29i165dmDlzJoYNG6Y6vknTpujUqRO2/b0JE6ZMBwD07ts/Z0wzw4BlWXh6eaNtS1+0CwzEuXPnEBgYyMlTj16fYvCwLwAAPi1a4vXLlzh0YB/mzPsRDMPgxo0bYFkW8+bNg6mpqeo4mjSwaujbty8nmJfL5Vi1ahVWrVqlMb1IJEJwcHA55U4ddUckhBBS2dBs76Q4tHrCcXd3x/PnzwtMExkZCXd3d60yVdnl7V4PAN7V8u8uY2/MR01Tbr2LpnOUtu7du3Ned+7cGQKBAJcuXQIA1X979erFSefh4YF69erh4sWLAIDatWvD3Nwcv//+O7Zv317ohFl5nTlzBr6+vrCzs4NMJlP9a9u2LYCcFvbcAgMDOYG8JhKJBLdu3ULHjh1VgTwA8Pl89OjRA+/evUNkZCTnmLwzdhcmICCA87pevXoAAH9/f7XtSUlJql4Kp0+fBsMw6NGjB+f92tnaooGrK65fuaI6NjExAQt++B7d2gfAz9sdfk0ao92HAP7Zs2dqeWrrzw3unV1ckZWVhcTEBABA48aNAQCTJ0/G0aNHERMTU6z3TPRb/fr1MWTIkCKnnzx5coVOdErdEQkhhFRGyhb61g6GaO9kiNYOhnC3E1EgT9Ro1TI/adIkDBs2DPv27dPYYrdnzx6cPXsWf/75Z4kzWBlp6u0plQPCAr6fmXn62gjKocuora0t95oCASwsLJCUlAQAqv9qGjNrZ2eHN2/eAABMTU2xefNmrF69GkuWLEFycjJsbW3Rr18/jBkzptDAOyEhAadPn0ajRo007s87PjxvvjVJSUkBy7Ia0yrfj/L9Fee8ueUdf6x8n/ltz8rKgrGxMRISEsCyLFq2bKnxvA4ODhDxAKmMxaQxIxEfF4eRo8fArYELxGIxWJZFv379kJWVpZ6nPJOXiUQ5y4JkZeakbd68OVasWIHNmzdjxowZkEqlqF+/PkaPHo1u3boV6/0T/TR+/HjI5XJs3bo13zQ8Hg8TJkxAv379yjFn6qg7IiGEkMqOJlsmBdEqmI+IiICvry+++eYbrF+/Hk2aNIG1tTUSEhJw/fp1PH/+HK1atUJERARnrC3DMBrH2Vc1tmK+2rbzLzMRWFukMf2jhGzES7hdSW3FZd9tNC4ujrMagUwmQ1JSkmo2a+V/Y2NjUa1aNc6xsbGxsLS0VL12dXXFkiVLwLIsHj16hH379mHFihUwNDTEyJEjC8yHpaUlXF1dMXnyZI3781YmFOWmZ2ZmBh6Ph7i4OLV9sbGxqusW97ylwdLSEgzDYOvWrapgOzeRSAQjIQ8vnj3Gk8ePsGDBAk6l2osXL0p0/aCgIAQFBUEqleLmzZtYs2YNpk2bhpo1a8Lb27tE5ya6j8fjYcqUKWjXrh127NiB06dPIzs7G0DO0qOdOnVC//79Ub9+/QrOaQ7qjkgIIYSQqkqrYH758uWq/4+MjFTrjgzkTJJ34cIFzjYK5nOYGvDgXU2EG+8+zoa+5U46mlYTwCpPoC+Vs1h3nTvbuK0xHw1syr7b6KFDhzhDJY4dOwaZTAYfHx8AQIsWLQAABw8ehIeHhyrd7du38ezZM4wePVrtnAzDoEGDBpg9ezb279+Pe/fuqfaJRCJkZmaqHePv74+zZ8/C0dFRrVVbW2KxGJ6envj3338xY8YMGBoaAsiZnf/gwYOoVq0anJycSuVaxeXv74+1a9ciJiZGbRI+TfIG/Dt27CiVfIhEIvj4+MDMzAwXLlzA/fv3KZivQjw8PODh4YGsrCzEx8eDYRjY2toW2pOmIihb6IGcCUapFYMQQgghVYFWwfzff/9d2vmocrrVN+IE83ESBSadSMZAd2O0cTSEkAdceSPFzvvpiHzPnSyvq7NRvpPllaZ///0XfD4frVq1wpMnT7B06VI0aNAAnTt3BgDUrVsX/fv3x5YtW8Dj8dC2bVvVbPbVq1fH0KFDAeSMAd+2bRuCgoLg4OAAlmVx4sQJpKSkoFWrVqrrubi44PLlyzh16hRsbW1hbGyMunXrYuLEiQgPD8eAAQMwePBgODk5QSqV4vXr1zh37hzmzZun1jOgKKZOnYrhw4djyJAhGD58OIRCIbZt24YnT55g8eLFFRYQNG3aFP3798fs2bNx9+5dNG/eHEZGRoiLi8O1a9fg4uKCQYMGoW7dunBwcMCiRYsA5HTfP336NMLCwrS+9rJly/Du3Tv4+fmhWrVqSElJwd9//w2hUKiqxCFVi4GBAWrWrFnR2SgyCuQJIYQQUlVoFczTQ33JtahlAGcrIZ4mZqu2xUvkWH4lFcuvpOZ7nIUhD12cjfLdX5pCQ0MRGhqK7du3g2EYBAYGYvbs2ZyW4O+//x4ODg7Ys2cPtm3bBhMTE7Rp0wbTpk1TdVOvXbs2zMzMsH79esTGxkIoFMLJyQm//PILZ/K8b775BvPmzcPUqVORkZEBHx8fbN68GXZ2dtizZw9WrlyJDRs2ICYmBsbGxqhZsybatGkDMzMzrd6fj48PNm3ahNDQUMyaNQsKhQINGjTAqlWr1CavK2/z58+Hp6cndu7cie3bt0OhUMDOzg5NmjRR9YIQCoVYsWIFfvnlF8ydOxcCgQB+fn7YtGmT2iR7ReXh4YG7d+/i999/R2JiIszMzODu7o5NmzbpTLdqQgghhBBCCMCwLFv4Ir1ETWZmJp4/fw4nJydVF+3iipfIMeXEe9V4+MK6hxoJGSwItISrddl2cw0NDcXy5ctx8eLFCp2pmhSMZVnI5XLw+fx8yw3LskiRFv0rbiZitGrZLI3vAyl7LMuq5r2gFmxSFFRmSHFRmSHFRWWGFBeVmY9o8d0KZCPmY0kHS7gUITi3N+Hjt3ZlH8gTQgghhBBCCNF9WnWzJ6VHGdBfe5OFQ48luPouG7n7SjS0EaK7ixitHAwg4lftmidCCCGEEEIIITkomNcBPIZBsxoG8LYXQMrykJzFQqFgYWHIg7Go/DtPTJgwARMmTCj365LSxzAMeAwLRRF62vMYmjyMEEIIIYQQfUHBvI4xEjAQC2n0Ayk9AgYoyrB5Wo6bEEIIIYQQ/UFRIyGVnIGAQWFxOvMhHSGEEEIIIUQ/UDBPSCXHYxgYFRDQM8jpEcKjLvaEEEIIIYToDepmT0gVIOQz4POALBkLGQso2Jwx8gImp0WeAnlCCCGEEEL0CwXzhFQRPIaBkTAnaGdZlia7I4QQQgghRI9RN3tCqiAK5AkhhBBCCNFvFMwTQgghhBBCCCF6hoJ5UiKBgYGYOXNmsY97/fo1XF1dsWHDhlLLi/Kc+/btK7VzEkIIIYQQQoguomCeEEIIIYQQQgjRMxTME0IIIYQQQggheoaCeaLRyZMn0b17d7i7u6Ndu3b466+/EBoaCldX10KPffPmDaZPnw4/Pz+4u7ujc+fO+PPPP6FQKNTSKhQKrFq1Cv7+/mjcuDF69+6NixcvctK8ePECs2bNQocOHeDp6Yk2bdpg9OjRePTokVbv7dKlS3B1dcWhQ4ewcOFCtG7dGt7e3hg9ejTi4+ORlpaGb7/9Fr6+vvD19cWsWbOQnp7OOQfLsti6dSt69uwJDw8PNG/eHBMnTsSrV6846cLCwjBmzBi0bdsWjRs3Rvv27TF37lwkJiZy0ik/2ydPnmDq1Klo2rQpWrZsiVmzZiE1NVWr90kIIYQQQgipvGhpujKQN/DLjc/nw9DQUC0ty7KQy+Xg8/mqmcZ5PB6MjIyKdN68aSUSCcRisVb5P3fuHCZMmIBmzZrhjz/+gEwmw59//on4+PhCj01MTMSAAQOQnZ2NSZMmoWbNmjhz5gx+/fVXvHz5Et9//z0n/datW1GjRg3Mnj0bCoUC69evx5dffonNmzfD29sbABAbGwsLCwtMmzYNVlZWSE5Oxv79+9GvXz/s378fdevW1ep9LlmyBL6+vliwYAGio6Px66+/YurUqRAIBHB1dcXixYtx//59LFmyBMbGxpgzZ47q2Llz52L//v0YPHgwpk+fjuTkZKxYsQIDBgzAP//8AxsbGwDAy5cv4e3tjb59+8LU1BTR0dHYuHEjBg0ahEOHDkEoFHLyNGHCBHTp0gV9+vTB48ePsWjRIgDAggULtHqPhBBCCCGEkMqJgvkyYGJiku++Ll264MiRI6rXdnZ2kEgkGtN+8sknOHPmjOp1nTp18g2omzVrhitXrqheu7m5ISoqqngZ/2DZsmWwt7fHhg0bIBKJAABt2rRBYGBgocdu3LgRMTEx2L17Nzw8PFTHyuVy7NixAyEhIXByclKll8vl2LhxIwwMDAAArVu3Rrt27bBs2TJs3LgRANC8eXM0b96cc8wnn3yCbt26YefOnZg1a5ZW79PFxYUTJEdGRuKvv/7C4MGDMWPGDABAq1atcPPmTRw6dEgVzN+8eRO7du3CzJkzMWzYMNXxzZo1Q8eOHbFx40Z89dVXAICBAweq9rMsC29vb/j4+CAgIADnzp1Du3btOHnq06cPRowYAQBo2bIlXrx4gb179+Lnn3+m5eQIIYQQQgghKtTNnnBIJBLcvXsXQUFBqkAeAIyNjYsUzEdERMDZ2VkVyCv17t0bLMsiIiKCs71Dhw6qQB7IqQgJCAjAlStXIJfLAQAymQyrV69Gly5d4O7uDjc3N7i7uyMqKgrPnj3T+r0GBARwXterVw8A4O/vr7Y9KSlJ1TPi9OnTYBgGPXr0gEwmU/2zsbFBgwYNcPnyZdWxCQkJmDt3Lj755BO4ubmhUaNGqutqynvez9jV1RVZWVlISEjQ+n0SQgghhBBCKh9qmS8DaWlp+e7j8/mc17GxsQDy72afW0Et7XnT3r9/vzhZVklJSQHLsrC2tlbbp2lbXklJSahZs6badjs7O9X+3JTd0fNuy87OhkQigampKX755Rds3boVX375JZo3bw5zc3MwDIM5c+YgKyuriO9Mnbm5Oee1sst7ftuzsrJgbGyMhIQEsCyLli1bajyvg4MDgJz5AIYPH47Y2FiMHTsWLi4uMDIyAsuy6Nevn8a8W1hYcF4rK1QyMzOL/wYJIYQQQgghlRYF82XA2Ni42Gk1BfMlOa+24+XNzMzAMIzGluCijJm3sLBAXFyc2nZlpYWlpWWh54yPj4dQKFS9h4MHDyI4OBhTp07lpHv//j3MzMwKzVNps7S0BMMw2Lp1K6f3gpJy2+PHj/Hw4UP88ssv6NWrl2r/ixcvyi2vhBBCiK5iWRa3bt3CwYMHERkZCblcDnt7ewQFBSEwMFDjbywhhJCPdLab/e3bt1UtsV5eXujTpw8OHTpUrHMoFAps2bIF3bt3h4eHB1q0aIFJkyZpPZa8KhCLxXB3d8fJkychlUpV29PT03H69OlCj/fz88PTp09x7949zvYDBw6AYRj4+vpytp84cYLTQp2WlobTp0+jWbNmql4MDMOoTRR35swZxMTEFPv9lQZ/f3+wLIuYmBg0btxY7Z9yxn9lpUzeh5EdO3aUe54JIYQQXRIdHY1hw4ZhxIgROHjwIO7evYsHDx7gzJkzmDNnDnr06IELFy5UdDYJIUSn6WTL/KVLl/DFF19AKBSia9euMDU1xYkTJzB9+nRER0dj9OjRRTrPd999h127dsHZ2Rmff/45EhIScPToUYSFhWHHjh1wdnYu43einyZOnIhRo0bhiy++QEhICORyOTZs2ABjY2MkJycXeOzQoUNx4MABjBo1ChMnTkSNGjVw5swZbNu2DQMHDuRMfgfkDDsYNmwYhg0bBoVCgXXr1iEtLQ0TJkxQpfH391fNWu/q6op79+5hw4YNqFatWpm8/8I0bdoU/fv3x+zZs3H37l00b94cRkZGiIuLw7Vr1+Di4oJBgwahbt26cHR0xKJFi8CyLMzNzXH69GmEhYVVSL4JIYQQXfD69WsMHz5cbZnW3OLj4zF16lT8/PPPCAoKKsfcEUKI/tC5YF4mk2HOnDmqbsxubm4AgHHjxmHAgAEIDQ1Fp06dUKdOnQLPExERgV27dqFZs2bYuHGjqnU0ODgYw4YNw/fff48tW7aU9dvRS23btkVoaCiWLl2KyZMnw9bWFgMHDkRsbCwOHjxY4LFWVlbYsWMHFi1ahEWLFiE9PR21atXCV199xZn5Xemzzz5DVlYWfvzxRyQkJKB+/fpYs2YNmjZtqkrzzTffQCAQYO3atZBIJHBzc1Plr6LMnz8fnp6e2LlzJ7Zv3w6FQgE7Ozs0adJENfmfUCjE6tWr8dNPP2Hu3LkQCATw8/PDpk2b1CbZI4QQQqoClmUxa9asAgN5JYVCge+++w7u7u4VVoFPCCG6jGFZlq3oTOR24cIFfPHFF+jdu7fa2tpHjx7FlClTMGrUKLXx03lNmzYNhw8fxpYtWzjLmgHAiBEjcP78efzvf/9TaykuqszMTDx//hxOTk6cdeO1VZQx8xUpOzsbwcHBsLe3x59//lnR2SHQrTJT2t8HUjZYlkVSUhIsLCwqvMwQ/UBlhhRXYWXm6tWraj0s7ezs0KtXL5iZmeHYsWO4e/cuZ39ISAinxx6pXOg+Q4qLysxHOjdmXrmsV+vWrdX2tWrVipOmIJcuXYJYLEaTJk3U9inPnXtddsI1e/ZsHDlyBJcvX8bRo0cxfPhwPHv2TLUGOiGEEEJIceXt4VetWjXs2rULX375Jfr374+NGzeiQ4cOnDSHDh2CQqEoz2wSQohe0Llu9srJ6WrXrq22z9zcHJaWloXOBi6RSBAXFwcXFxe1peAAqLroFzQRXmEdFpT7WZYtNG1x6UJnifT0dPz6669ITEyEUCiEm5sb1q5dCz8/P53IH+Gq6L9JWX4fSOnJ/XcipCiozJDiKqzMPHnyhPO6T58+MDY25qQPCQnBiRMnVK8TExORmJhYpCVyif6h+wwprqpSZorS60DngnnlGu2mpqYa95uYmODdu3cFniM1NVWVNr9z5L6WJsnJyQUWEKlUCoVCAblcDrlcXmB+iqM0z1USixYt0rhdV/JHPtKFv4lcLodCoUBKSgoyMzMrOjukEIVNZElIXlRmSHHlV2YkEgnnd0skEiEpKYmThs/nq/22JSQkaGygIZUH3WdIcVX2MpN3SW9NdC6Y1xXm5uYF7s/MzERiYiL4fH6p/bgoxz8TUlS6Umb4fD54PB7MzMxozLwOY1kWycnJMDc3r/JjzEjRUJkhxVVYmalRowaio6NVr8PCwjBw4EBOmiNHjnB+2/h8PurUqUPrzldSdJ8hxUVl5iOdC+aVrebK1vW80tLS8m21V1Luz6/lXbk9v5Z7oPBuDcr9DMOUSiHK3QugqhdKUjS6VGZK+/tAyhb9nUhxUZkhxZVfmWnfvj1nzqJLly5hwYIFGDp0KExNTXH06FGsXr2ac0zbtm1hYGBQ5nkmFYvuM6S4qMzoYDCvHM/+4sULuLu7c/YlJyfj/fv38Pb2LvAcYrEYtra2eP36tcaWS+VY+cKWtyuKyj5Wg5CioO8BIYSQoujUqRNCQ0M5jTb79u3Dvn378j2mX79+5ZE1QgjROzo3m71yGbkLFy6o7QsLCwMA+Pj4FHoeHx8fSCQSXL9+XW2f8tx5l6wrDqFQCCBn7BchVZ3ye6D8XhBCCCGaiMVizJgxo8jpu3XrVqLnNUIIqcx0rmXez88PDg4OOHz4MIYMGYKGDRsCyOkav3LlSggEAvTq1UuVPjExEe/fv4elpSWsrKxU2/v164cjR47gjz/+wMaNG1XjrC5evIgLFy6gefPmWq8xD+SM37KwsEBsbCyAnB+nknTz0KU1w4l+0IUyw7IsJBIJYmNjYWFhoRPj9wkhhOi2Tp06ISMjA7/88kuBk7h26dIF33zzTTnmjBBC9AvD6mD/2IiICIwYMQJCoRDdunWDiYkJTpw4gdevX2Py5MkYM2aMKm1oaCiWL1+O8ePHY8KECZzzzJkzB7t374azszM++eQTJCQk4OjRozAwMMCOHTvg7OxconyyLIt3796pzcKqLYVCAR5P5zpLEB2mK2XGwsIC1apVo4ooHceyLJKSkmBhYUF/K1IkVGZIcRWnzERFRWHHjh04evSoqocXj8dDy5Yt0b9/f7Ro0YLKXRVA9xlSXFRmPtK5lnkAaNGiBbZt24Zly5bh2LFjyM7OhrOzMyZNmoQePXoU+Tzz58+Hq6srdu7cic2bN0MsFiMgIABTpkwpUau8EsMwqF69Ouzs7JCdnV2ic7Esi5SUFJiZmVX5QkmKRlfKjFAopBZ5QgghxVanTh3MnDkT06dPx7t37yCXy2FrawuxWFzRWSOEEL2gky3zVRHVMJHiojJDiovKDCkuKjOkuKjMkOKiMkOKi8rMRxXfP5cQQgghhBBCCCHFQsE8IYQQQgghhBCiZyiYJ4QQQgghhBBC9AwF84QQQgghhBBCiJ6hYJ4QQgghhBBCCNEzFMwTQgghhBBCCCF6hpamI4QQQgghhBBC9Ay1zBNCCCGEEEIIIXqGgnlCCCGEEEIIIUTPUDBPCCGEEEIIIYToGQrmCSGEEEIIIYQQPUPBPCGEEEIIIYQQomcEFZ2Bqu727dsIDQ3FzZs3kZ2dDWdnZ4SEhKB79+4VnTVSQf755x9cu3YNd+/exePHj5GdnY0FCxagd+/eGtOnpaUhNDQUJ06cQFxcHGxtbdGhQwdMmDABJiYm5Zx7UhFiYmJw7NgxnDt3DpGRkYiPj4e5uTmaNGmCESNGwNPTU+0YKjdVW0pKCpYtW4Y7d+7g9evXSE5OhqWlJZycnPDZZ5+hQ4cOYBiGcwyVGZLXunXr8PvvvwMAdu7cCS8vL7U0VG6qtsDAQERHR2vc179/f8yfP5+zjcoLUfr333+xbds23L9/HxkZGbCxsYGXlxe++uorVK9eXZWuqpcZWpquAl26dAlffPEFhEIhunbtClNTU5w4cQKvX7/GlClTMHr06IrOIqkAyh8+S0tLiMViREdH5xvMSyQSDBo0CA8ePECrVq3g5uaGhw8f4vz582jYsCG2bdsGsVhcAe+ClKfff/8d69atg6OjI5o3bw5ra2u8ePECJ0+eBMuyWLRoEbp06aJKT+WGvHjxAsHBwfD09ISjoyMsLCyQkJCA06dPIyEhAf369cMPP/ygSk9lhuT17NkzBAcHQyAQQCKRaAzmqdyQwMBApKSkICQkRG2fu7s7AgICVK+pvBAAYFkW3333HXbu3AlHR0e0bt0axsbGiI2NxZUrV7Bw4UI0a9YMAJUZAABLKkR2djYbFBTEuru7s/fu3VNtT01NZbt27cq6ubmxz58/r7gMkgoTFhbGvn79mmVZll2zZg3r4uLC7t27V2PapUuXsi4uLuxvv/2mcfvSpUvLPL+k4h0/fpy9cuWK2vYrV66wjRo1Yn18fNisrCzVdio3RCaTsdnZ2WrbU1NT2S5durAuLi7s48ePVdupzJDcZDIZ++mnn7J9+vRhp0+fzrq4uLA3btxQS0flhgQEBLABAQFFSkvlhbAsy/7111+si4sLO2/ePFYmk6ntz/3bRWWGZWnMfAWJiIjAy5cv0a1bN7i5uam2m5iYYOzYsZDJZNi3b18F5pBUlJYtW6JmzZqFpmNZFrt374ZYLMa4ceM4+0aNGgVzc3Ps2bMHLHW+qfQ6dOigqqXOrVmzZvD19UVSUhIePXoEgMoNycHn8yEQqI+0MzExQevWrQHktN4DVGaIunXr1uHhw4f4+eefwefzNaahckOKg8oLAYDMzEysWLECDg4OmD17tsb7i/K3i8pMDgrmK8jly5cBQPXQlFurVq04aQjRJCoqCrGxsWjSpIlaFyIDAwM0a9YMMTExqgdyUjUpf/SU/6VyQwqSlZWFiIgIMAwDZ2dnAFRmCNfjx4+xfPlyjBkzBvXr1883HZUboiSVSrF//36sXr0a27Ztw8OHD9XSUHkhABAWFoakpCQEBQVBoVDgxIkTWLt2LbZv3672t6cyk4MmwKsgUVFRAIDatWur7TM3N4elpWWlL3ykZJTlo06dOhr3K8vWixcv8k1DKrc3b94gPDwctra2cHFxAUDlhnClpKTgr7/+gkKhQEJCAs6dO4e3b99i/Pjxqr8/lRmiJJPJMHPmTNSrVw8jR44sMC2VG6IUFxeHmTNncra1adMGv/32G6ysrABQeSE57t69CyCn91iPHj3w/Plz1T4ej4ehQ4dixowZAKjMKFEwX0HS0tIAAKamphr3m5iY4N27d+WZJaJnUlNTASDfmTqV25XpSNWSnZ2Nr7/+GlKpFNOnT1d1VaNyQ3JLSUnB8uXLVa+FQiG+/vprDB8+XLWNygxRWr16NR49eoRdu3ZBKBQWmJbKDQGA3r17w8fHB87OzhCJRHj27BmWL1+Oc+fOYezYsdi+fTsYhqHyQgAACQkJAICNGzfCzc0Nu3fvRr169fDgwQN8++23+PPPP+Hg4IBBgwZRmfmAutkTQkglo1AoMHv2bFy5cgX9+vVDcHBwRWeJ6KhatWrh0aNHuH//Pv777z9MnDgRS5YswYQJEyCTySo6e0SHPHz4EKtXr8bw4cPRqFGjis4O0RPjx4+Hj48PrKysYGJiAk9PT6xZswZNmzbFjRs3cPbs2YrOItEhyvHtQqEQK1asgIeHB4yNjdGsWTMsW7YMPB4PGzdurOBc6hYK5itIYbVFaWlp+bbaEwJ87NWh7OWRV2G9P0jlxLIs5syZg4MHD6JHjx6YN28eZz+VG6IJn89HrVq1MHLkSEyePBn//vsvdu3aBYDKDMkxY8YMODg4YMKECUVKT+WG5IfH46mW271+/ToAKi8khzI+cnd3h729PWdf/fr14eDggJcvXyIlJYXKzAcUzFeQvGMRc0tOTsb79+81jqcnRElZPpTzL+SlLFtUjqoOZYv83r170a1bN/zyyy/g8bi3eSo3pDDKiVmVk7BSmSFATst8ZGQkGjduDFdXV9W//fv3AwD69+8PV1dXnDx5EgCVG1IwS0tLAEBGRgYAKi8kR926dQHkH4Art2dmZlKZ+YDGzFeQ5s2bY82aNbhw4QK6du3K2RcWFgYA8PHxqYisET1Rp04d2NnZ4fr165BIJJyZPLOysnD16lXY2dlV+psYyaFQKPDNN99g37596NKlC3777TeNS7pQuSGFiYmJAQBV+aEyQwCgT58+GrdfvXoVUVFRCAwMhJWVlWppVSo3pCC3b98GACovhMPX1xcAEBkZqbYvOzsbL1++hFgshpWVFWxtbanMgFrmK4yfnx8cHBxw+PBhPHjwQLU9LS0NK1euhEAgQK9evSowh0TXMQyDvn37QiKRYMWKFZx9a9asQXJyMvr27QuGYSooh6S85A7kO3XqhIULF+a79jOVGwIADx480DjMKykpCUuWLAEAtG3bFgCVGZLjp59+0vjP29sbQM66zj/99BMaNmwIgMoNAZ4+fYqUlBS17VevXsXGjRshEonQoUMHAFReSA5HR0e0bt0aL168wO7duzn71q5di5SUFAQFBUEgEFCZ+YBhlTMNkHIXERGBESNGQCgUolu3bjAxMcGJEyfw+vVrTJ48GWPGjKnoLJIKsHv3bly7dg1Aznq+9+7dQ5MmTVQ1i0FBQQgKCgIASCQSDBo0CA8ePECrVq3QqFEjPHz4EOfOnUPDhg2xbds2tbU3SeUTGhqK5cuXQywWY8iQIao15XMLCgpSPWRTuSE//fQT9uzZA19fX9SoUQNGRkZ48+YNzpw5A4lEgo4dO+KPP/5QDdOgMkPyM3PmTOzfvx87d+6El5cXZx+Vm6otNDQU69evh5+fH2rWrAmRSITHjx8jLCwMPB4P8+bNQ9++fVXpqbwQAHj58iUGDBiAhIQE+Pv7o27durh//z4iIiJQs2ZN7Ny5E7a2tgCozAAUzFe427dvY9myZbh58yays7Ph7OyMkJAQ9OjRo6KzRiqI8sEoP+PHj+dMQJSamorly5fj+PHjiI+Ph42NDTp27Ijx48dX+kk/SI7CygwALFiwQDXhEEDlpqq7evUq9u7di5s3byI2NhaZmZkwNzeHm5sbgoOD0bVrV7XWDCozRJOCgnmAyk1VdvnyZWzbtg33799HfHw8pFIprK2t0bRpUwwdOhQeHh5qx1B5IQDw9u1bLFu2DOfPn0dSUhJsbGwQGBiIcePGwdrampO2qpcZCuYJIYQQQgghhBA9Q2PmCSGEEEIIIYQQPUPBPCGEEEIIIYQQomcomCeEEEIIIYQQQvQMBfOEEEIIIYQQQoieoWCeEEIIIYQQQgjRMxTME0IIIYQQQggheoaCeUIIIYQQQgghRM9QME8IIYQQQgghhOgZCuYJIYQQQgghhBA9Q8E8IYQQUsm9fv0arq6umDlzJmf74MGD4erqWiF52rdvH1xdXbFv374KuT4hhBCi7yiYJ4QQQkixXbp0Ca6urggNDa2S1yeEEEIqmqCiM0AIIYSQivHrr78iIyOjQq7dvn17eHp6ws7OrkKuTwghhOg7CuYJIYSQKqpGjRoVdm1TU1OYmppW2PUJIYQQfUfd7AkhhJBKQi6XY+3atWjfvj0aN26M9u3bY82aNWBZVmN6TWPmFQoFdu/ejT59+sDHxweenp4IDAzE2LFjceXKFQBAaGgohgwZAgBYvnw5XF1dVf9ev34NAJg5cyZcXV3x6tUrbNq0CV27doW7u7tq3H5BY+ZfvXqFuXPnIjAwEO7u7vDz88PgwYNVaYtyfUIIIaSyo5Z5QgghpJL49ttvsXfvXtSqVQufffYZsrKysHHjRty4caPI51i0aBHWr18PR0dHdOvWDcbGxoiJicHVq1cRERGB5s2bw8fHB7169cL+/fvh4+MDHx8f1fFmZmac8/3www+4desWPvnkE/j7+8PGxqbA69+4cQNffvkl0tLS0Lp1a3Tt2hXJycl48OAB/v77b/Tu3btY1yeEEEIqKwrmCSGEkErg0qVL2Lt3Lxo0aIDt27dDLBYDAEaPHo2ePXsW+Tx79uyBvb09Dh48CCMjI9V2lmWRnJwMAPD19QUAVTA9YcKEfM/36NEj7N+/v0hd+qVSKaZMmYL09HSsXbsWbdu25ex/9+5dsa9PCCGEVFbUzZ4QQgipBA4cOAAAGDdunCqQBwB7e3tVl/SiEgqF4PP5nG0Mw8DCwqLY+friiy+KPDb/v//+w9u3b9GjRw+1QB4AqlWrVuzrE0IIIZUVBfOEEEJIJfDo0SMAQLNmzdT2adqWn06dOuH169fo3r07/vjjD4SHh0MikWidLw8PjyKnvX37NgCgVatWWl+PEEIIqSoomCeEEEIqgdTUVPB4PFhaWqrts7a2LvJ55syZg6+++goCgQCrVq3CsGHD0KJFC8yYMQOJiYnFzldxrp2amgogpzcBIYQQQgpGY+YJIYSQSsDU1BQKhQLv37+HlZUVZ19CQkKRzyMUCjFixAiMGDECMTExuHLlCvbt24cDBw4gPj4eGzZsKFa+GIYpclrlUnUxMTHFugYhhBBSFVHLPCGEEFIJKJeYu3r1qto+TduKwt7eHt26dcP69etRp04dhIeHIzMzEwBUY+rlcrmWOVan7JIfFhZWaNqyuD4hhBCiTyiYJ4QQQiqB4OBgAMCKFSs4Y9xjYmLw999/F+kcUqkUFy9eVFuXXiKRID09HQKBADxezqODubm56vylpV27dqhWrRoOHjyI8+fPq+3Pfa2yuD4hhBCiT6ibPSGEEFIJ+Pr6onfv3ti3bx+6d++O9u3bQyqV4ujRo/Dy8sLp06cLPUdmZiaGDh0KBwcHeHp6onr16pBIJDhz5gzi4uLw5ZdfQiQSAQDq1q0LOzs7HDlyBIaGhqhWrRoYhsHAgQNV3eWLSyQS4Y8//sCIESPw5Zdfok2bNmjQoAHS0tLw4MEDZGZmqmbtL4vrE0IIIfqEgnlCCCGkkvjxxx/h5OSEXbt2YcuWLahWrRqGDRuGzp07FymYNzIywvTp0xEREYGrV68iISEB5ubmqFu3LqZPn44uXbqo0vL5fCxfvhy///47/vnnH6SnpwMAunTpUqJg2tvbG/v378eaNWtw4cIFXLx4EWZmZqhXrx4GDBhQ5tcnhBBC9AXD5u1LRwghhBBCCCGEEJ1GY+YJIYQQQgghhBA9Q8E8IYQQQgghhBCiZyiYJ4QQQgghhBBC9AwF84QQQgghhBBCiJ6hYJ4QQgghhBBCCNEzFMwTQgghhBBCCCF6hoJ5QgghhBBCCCFEz1AwTwghhBBCCCGE6BkK5gkhhBBCCCGEED1DwTwhhBBCCCGEEKJnKJgnhBBCCCGEEEL0DAXzhBBCCCGEEEKInvk/OXcvbDXcyJQAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(2, 1, figsize=(10, 8))\n",
"for ii, (label, var) in enumerate(zip([\"rural\", \"urban\"], [\"p_C_rural\", \"p_C_urban\"])):\n",
" plot_survival_posterior(\n",
" district_urban_inference, color=f\"C{ii}\", var=var, data_filter=label, ax=axs[ii]\n",
" )\n",
" plt.title(label)\n",
"\n",
"# Save fig for reference in next lecture\n",
"utils.savefig(\"fertility_posterior_means_rural_urban.png\")"
]
},
{
"cell_type": "markdown",
"id": "4944c3ec",
"metadata": {},
"source": [
"#### Posterior variances\n",
"The plots above indicate that urban areas have\n",
"- higher overall rates of contraceptive use\n",
"- The error bars higher variance in urban areas\n",
"\n",
"The plot below re-confirms that variance in contraceptive use is indeed larger in urban areas; the posterior standard deviation parameter for urban areas $\\tau$ is larger than the parameter $\\sigma$ for rural areas"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "4bd743d4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lrYOIqDGpqamorKxERUWF9zabzYb169c3eV+LFi1qcH3p0qVwOBwYNMj9OiwIApRKZYNt1qxZg9LS0mZU3nw1NTWwWCxITQ3OTxvZs01EkjNtOwRnrRHy6HCEDciUtJaISYNR+MR7MG07BHtJFZRJMZLWQ0R0psmTJ+Odd97Bo48+irvvvhtWqxVffvklnE5nk/e1YsUKyOVyDB8+HLm5uXj77bfRtWtXTJ48GQAwZswY76wjnmkEP/30UyQlJbXoZ8jKysKgQYPw5ZdfXtL2KpUKSqUSGzZsQFZWFrp27Yrw8PAW1dCa2LNNRJIzrNwGANBf1h+CXC5pLcrkOIQNyALOWGCHiChQpKWl4b333oPBYMCsWbPw2muvYdKkSZg+fXqT9zV79mzk5+fjoYcewjvvvIOxY8fis88+846zfv755zFt2jR8/PHHeOCBB7B69WrMnj0b7ds3f2rU+vp6AOeOF78QnU6HJ554Avv27cPNN9/coFc/GAiiKPrvbAEJVFdXIyoqqlVPPqDmE0XROz6MbRYc/NFmh8c8DMueI0h7/3FEz7zcJ/tsibJ/z0PJ3/6H8MsHoNP8l6Qup8X4PAs+bLPmsVgsOHr0KDp16gSNpnXn6r/UEyTburVr1+K+++7Djz/+2GARHn+42N+DKIqt0lbs2SYiSdlLq2DZ455CSj+2v8TVuEVMcY/bNq7bDWed6SJbExHRpdq8eTOuuOIKvwftQMIx20QkKcOq7QAAbd8MKBOiJa7GTZOZBnWXVFhzT8KwciuiZoyWuiQiopDw9NNPS11Cq2PPNhFJyjNeO/zygRJX0pCnd7t2CWclISKi5mPYJiLJiA4njL/uBACEj5dm1cjz8YRtw/ItcFntEldDRETBimGbiCQTSFP+nS1sQCYUidFwGc2oX79H6nKIiChIMWwTkWQMqwJnyr+zCTIZIiYPAQDULtkkcTVERBSsGLaJSDKGle6TIyPGBdZ4bY/IK4YBAOqWbobocklcDRERBSOGbSKShL20CubdeQACZ8q/s+lG9oYsPAyOkiqYth+WuhwiIgpCDNtEJAnD6h0AAmvKv7PJVErviZt1HEpCRETNEBRh+5NPPkFWVhaysrKwa9cuqcshIh8I1Cn/zhY55dS47cUbJa6EiIiCUcCH7SNHjuCdd95BWFiY1KUQkY+4p/xz92yHB+h4bY/wcdkQlArY8gphzTspdTlERBRkAjpsO51OPP300+jatSvGjRsndTlE5COmHYfhrDFCHqVH2MDAXrJXHhEG3fBeAIC6ZVskroaIiIJNQIftTz75BIcOHcIrr7wCeYBNC0ZEzedZol0/pl/ATfnXmIiJgwAAdb/8LnElREQtM3bsWDzzzDNSl9GmBGzYPnz4MN5991088MAD6NKli9TlEJEPGVe7w3b42AESV3JpIiYNBgDUb94PR41B4mqIiJrv3XffxYMPPih1GW2KQuoCGuNwOPDMM88gPT0d9957b5MfL4qiH6oif/C0FdsseLS0zRzVBph25gJw92wHQ9sr2ydC3bUDrIeOwbByG6KuGSN1SU3C51nwYZs1z5m/Nyl/d4HYbhaLBRqNBt26dQPgmxqdTiecTidUKlWL9+UPF/t7EEURgiD4vY6ADNsffvghcnJyMG/ePCiVyiY/vra21g9VkT+xzYJPc9vMtGQz4HJB0SUV9ToFUFPj28L8RDW6N6yHjqFy0Xrg8r5Sl9MsfJ4FH7ZZ09hsNrhcLm8IPFt9ff15HyuXy6HRaC5pW5lMBq1W26xtW+K9997D+++/j++++w4ffvghNm3aBEEQMGbMGDz99NOIiYkBAIwfPx5dunTB1VdfjQ8//BD5+fm45ZZb8Nhjj2H8+PHIzs7GK6+84t1vUVER3n77bWzcuBEGgwFpaWm45pprcOutt0Imcw+CKCwsxIQJE/DYY4/BbrdjwYIFKCkpwXvvvYeRI0f65OfzNafTCZfLhbq6Olgslka3iY72/9SzARe2Dx06hA8//BB33nknevTo0ax9REZGtsp/KtRyoiiitraWbRZEWtpmxs2HAABR47MRFRXl4+r8R3nVKBg+WgTLuj2I1IdDUAT+WHMPPs+CD9useSwWC6qqqiCXyxs91+tCrzlTpkzBzz//7L2enJwMk8nU6LajR4/Gr7/+6r2ekZGBioqKRrcdOHAgtmzxzcnVnr+FWbNmYfLkyZg5cyby8vLwzjvvID8/H99++623k/LAgQPIz8/H/fffj9TUVISFhXl/J4IgeL+vqqrCzTffDLvdjlmzZiElJQVr1qzB66+/jpMnT+LFF18EAG/onjt3Ljp27IinnnoKer0eHTp0CNjz6uRyOWQyGSIiIhr8I+XRWp9ABFzYfvrpp5GWloaHH3642fsQBIEvTkGGbRZ8mtNmoijC4Jny7/IBQdXmuuyukMdEwFlVB9OWg9CfmqEkmPB5FnzYZk3j+V019/fWlMf4a9tL2c+ECRPw1FNPAQBGjhyJuLg4PPHEE1i2bBmmTZsGQRBQVVWFxYsXo1OnTufs48zfz//+9z+UlpZi/vz56N27NwBg1KhRcLlc+Oabb3DbbbehU6dO3u3VajU+/fTTZo08aG0t/XvwlYAL24cOuXu9evVq/I3s+uuvB+D+KIXTARIFF+vBY3AUV0LQqqEb2lPqcppEkMsRPn4gar5djbpftgRl2CZq64xG43nvO7t3tqys7Lzbenp5PQoKCiCKIpxOJ+RyeYNgd/a2vjB16tQG1ydPnoxnnnkGv//+O6ZNmwYAyMrKOidoN2bz5s3IyMjwBm2PGTNm4Ouvv8bmzZsb7Gfs2LFBEbQDScCF7WuvvbbR27dt24aCggKMHTsWMTExSElJaeXKiKilPEu064f1hEwTmCfUXEjExMGo+XY1DL/8DvztLqnLIaIm0ul0ftv2fGHbH+Lj4xtcVygUiIqKQs0Z58Ccvc351NTUNJqpEhISvPdf6Nh0cQEXtv/+9783evszzzyDgoIC3Hfffejbt2/rFkVEPmE4NeWfPkim/Dtb+Nj+gEIOa+5JWI8UQp3Of/qJqPWVl5cjMTHRe93hcKCmpqbBmPRLDfxRUVEoLy8/53ZPz/7ZJxByWFPTBew820QUWlwmC+o37QNwKrQGIXmEzjt8pO4XriZJRNJYtGhRg+tLly6Fw+HAoEGDmryvoUOHIi8vD/v3729w+w8//ABBEDB48OAW1UoB2LNNRKHJuGEvRKsdypR4qDPTpC6n2SImDoJx7S7U/fI74h+8WupyiKgNWrFiBeRyOYYPH47c3Fy8/fbb6Nq1KyZPntzkfd1+++344YcfcN9992HWrFlITk7GmjVr8NVXX+GGG264pHHfdGFBE7ZfffVVvPrqq1KXQUTNZFwdnLOQnC184mDguY9Rv2k/nLVGyCP1UpdERG3M7NmzMXv2bHz99dcQBAFjx47Fc88916zFZWJiYvDNN9/gjTfewBtvvIH6+nqkpqbiySefxB133OGH6tueoAnbRBTcPCdHBusQEg91p3ZQZ6bBevgEDKu2I2rGaKlLIqI2pl27dvjwww/Pe//q1aubdF9ycjLeeOONCx4zNTUVOTk5l14keXHMNhH5ne1kGay5JwC5DPrRfaUup8UiJrnHMHLcNhERXQzDNhH5nWGVu1c7bEBWSAy7iJjoPgnJsGIrRMe5S0ITERF5MGwTkd8Z15waQnJZcA8h8QjL7gZ5dDicNUaYth6UuhwiaiMefvhh5OTkICYmRupSqAkYtonIr0SXC8bf9gBASAwhAQBBIUf4uIEAgLplv0tcDRERBTKGbSLyK8v+o3BW1UGm1yJsQJbU5fiMZyhJ3TKO2yYKNKIoSl0CBYBA+Ttg2CYivzKu2QUA0A3tCUEZOhMghV8+4NRqkidgzS+SuhwiAiCXywEAdrtd4kooEHj+Djx/F1Jh2CYivzKu2wUA0I/qI20hPiaP1EM3tAcAzkpCFCiUSiXUajVqa2sDpleTpCGKImpra6FWq6FUKiWtJXS6mYgo4LhsdhhPLdGuH9NP4mp8L2LiYNT/tgeGX35H/APTpS6HiADExcWhsLAQJ0+eRGRkJJRKZasspCWKIpxOJ+RyeVAv3BXsRFGE3W5HbW0tjEYjUlJSpC6JYZuI/Me8PQeiyQp5XCQ03TpIXY7PRUwajOIXPoFx4z446+ohj9BJXRJRmxcREQEAqKioQGFhYase2+VyQSbjoIFAoFarkZKS4v17kBLDNhH5jWHtLgCAfmQfCCH4BqTunAx1l1RYc0+6V5O8epTUJRER3IE7IiICdrsdTmfrzIUviiLq6uoQERHBnm2JyeVyyYeOnIlhm4j8pv633QAA/ai+0hbiR+ETB8OaexJ1y7cwbBMFGKVS2WqhSxRFWCwWaDQahm1qIPS6mogoILgsNpi25wAA9CN6SVyN/5xeTXIbxFbqQSMiouDBsE1EfmHakQPR5oAiMRqqzslSl+M3usHdIY/Sw1lVB9PWQ1KXQ0REAYZhm4j8on6jexYS3dCeIf2RaoPVJDkFIBERnYVhm4j8whu2h/WUuBL/C/euJsml24mIqCGGbSLyOdHugGnrQQBtJGxfPgCQy2DNOQ5rQbHU5RARUQBh2CYinzPvOQJXvQXyKD00XUNvfu2zKaLCoRvq/qfCwKEkRER0BoZtIvK5BuO1Q3B+7cZETOBQEiIiOlfbeBckolblWaK9LQwh8YiY5A7b9Rv3wVlnkrgaIiIKFAzbRORTossF0+b9AOAdWtEWqDNSocpIgWh3wPDrDqnLISKiAMGwTUQ+Zc0rhLPGCEGrhrZXZ6nLaVWeoSSGXziUhIiI3Bi2icinTNvcC7uE9c2AoFRIXE3ripg0GABQt2IrV5MkIiIADNtE5GOeVRTDsrtJXEnr0w3uDlmEDs7KOpi25UhdDhERBQCGbSLyKW/P9sCuElfS+gSl4ozVJDmUhIiIGLaJyIecBhMsB48BaJthGzg9Kwnn2yYiIoBhm4h8yLzzMOByQZmWAGVSjNTlSCL88oGAXAbLwWOwHS+VuhwiIpIYwzYR+Ux9Gx6v7aGIDoducHcAXOCGiIgYtonIhzzjtXXZbXMIiUfExFOzknAoCRFRm8ewTUQ+IYpimz458kzhE0+tJrlhD5wGriZJRNSWMWwTkU/YCkrgrKyDoFZC08YWszmbuksqVJ2TIdocMHI1SSKiNo1hm4h8wrzzMABA27MzZCqlxNVISxAERJzq3eZQEiKito1hm4h8wrQrDwCg7ZshcSWBwRu2uZokEVGbxrBNRD5h3pULAND27SJxJYFBN7QnZOFhcFbUwrT9sNTlEBGRRBi2iajFRJfrdNjux7ANnFpN8vIBAADDcg4lISJqqxi2iajFrEeK4DKaIWjV0GS2l7qcgBEx6dQUgJxvm4iozWLYJqIW8/Zq9+oMQSGXuJrAET5uICCTwXKgALYTXE2SiKgtYtgmohbjeO3GKWIiEDbIvZomZyUhImqbGLaJqMU8YTuMYfscEZNOzUqyjGGbiKgtYtgmohYRnU6Y9xwBwJ7txniWbq9fvxtOo1niaoiIqLUxbBNRi1hzC+Gqt0Cm00DdJUXqcgKOOjMNqo5J7tUk1+yUuhwiImplDNtE1CLmve5ebU3PzhDkPDnybO7VJDkrCRFRW8WwTUQtYtl/FACg7dlJ4koCV/ipKQANK7ZCdLkkroaIiFoTwzYRtYgnbGt6MGyfj25oD8jCw+Aor4F5B1eTJCJqSxi2iahFLAcKAACabh0lrSOQyVRKhI/tDwCo+4VDSYiI2hKGbSJqNkdVHezFlQAYti/GO277l60SV0JERK2JYZuIms3Tq63qkAR5RJi0xQS48PGnVpPclw/byTKpyyEiolbCsE1EzeYdQtK9o6R1BANFbCTCsrsC4GqSRERtCcM2ETWb9+RIhu1LEjHRvZqkgWGbiKjNYNgmomZjz3bTeMZtG3/bDVe9ReJqiIioNTBsE1GziC4XzAcLAHDav0ul7toeytR4iFY7jBv3Sl0OERG1AoZtImoWW0EJRJMVgkYFdedkqcsJCoIgIHzsAACAYdV2iashIqLWwLBNRM3iHUKS1R6Cgsu0X6rwy0+F7dUM20REbQHDNhE1C8drN49+dF9ALoMtrxC246VSl0NERH7GsE1EzcKZSJpHHqFDWHY3AOzdJiJqCxi2iahZLDw5stk8S7dz3DYRUehj2CaiJnOZLLDlFwMAtAzbTeYZt21cuwui3SFxNURE5E8M20TUZPa8QkAUoYiPgiI+Supygo62TwbksRFwGc2o33pQ6nKIiMiPGLaJqMnsh04A4Hjt5hJkMoRf5h5KYly9Q+JqiIjInxi2iajJ7IeOA+B47ZbgfNtERG0DwzYRNZk9hz3bLaW/rB8AwLw7D47yGmmLISIiv2HYJqImEUUR9hz2bLeUMjEGml6dAQCGNTslroaIiPyFYZuImsRRWg1XtRGQyaDJTJO6nKB2eijJNokrISIif2HYJqImsRxwL2ajTk+GTKuWuJrg5p0C8NedEF0uiashIiJ/YNgmoiax7C8AwCEkvhA2qBtkei0c5TUw782XuhwiIvIDhm0iahLLgQIAgKZbR0nrCAUylRL6kX0AAEYu3U5EFJIYtomoSTzDSDQ9OkpbSIjQc+l2IqKQxrBNRJdMtDtg5bR/PuUZt12/5SCcdSaJqyEiIl9TSF3A2erq6vDOO+9g7969OHnyJGpraxEdHY1OnTrhpptuwoQJEyAIgtRlErVJ1rxCiHYHBL0GyrQEqcsJCeqO7aDq1A62o8Wo37QXERMHS10SERH5UMD1bFdXV+P777+HVqvF5ZdfjjvvvBOjRo1CXl4eZs2ahT//+c9Sl0jUZplPDSFRZqZBkAXcy0fQ0o/qCwAwrtstbSFERORzAdeznZqaiq1bt0KhaFia0WjE9ddfj3nz5uHWW29Fly5dJKqQqO3ynBypzOL82r6kH9kbVZ8vZdgmIgpBAdc1JZfLzwnaAKDX6zFixAgAwLFjx1q7LCICYNl/qme7a3uJKwktnhlJLPuPwlFRK3E1RETkSwEXts/HarVi8+bNEAQBGRkZUpdD1CZ55thWMWz7lCI+ynvCqfE39m4TEYWSgBtG4lFXV4fPP/8cLpcLlZWVWLduHYqLi/HQQw+hY8eOF3ysKIqtUyS1mKet2GaBz1lrhL2wHACgzExlm/mYblQfWA4UwPjbbkROH+nTffN5FnzYZsGHbRZ8RFFslUk3Ajpsv/vuu97rSqUSTz31FO68886LPra2lh/DBhu2WeCzbj0EAJAnx0IWoWOb+ZjQ3/2JXd2vO6CrqfHLMdhmwYdtFnzYZsElOjra78cI2LCdmpqKnJwcOJ1OFBcXY8mSJXjrrbewc+dO/Pvf/250XLdHZGQkpwcMEqIoora2lm0WBCqPVwAAwnp0BsDnma+Fjx+CCrkMjmOlCDPaoEr13dSKfJ4FH7ZZ8GGbBZ/W+hQiYMO2h1wuR2pqKu69917IZDK8/vrrmDdvHm688cbzPkYQBP6hBxm2WeDzLtPeoxMAtpmvKSJ1COvbBabtOaj/bQ/UN473+THYZsGHbRZ82GZ0tqA5QRKAdzaSLVu2SFwJUdvjOTmSy7T7j350XwA8SZKIKJQEVdguLS0F4O7tJqLWI7pcsBwsAMBl2v1JP8o9BaBx3W6eZEVEFCICLmwfPHgQBoPhnNtramrw1ltvAQBGjRrV2mURtWn2E2VwGc0QVAqo01OkLidkhWV3g6BWwlFcCWteodTlEBGRDwTcmO0FCxbgu+++w+DBg5GcnAytVouioiKsWbMGJpMJEydOxNSpU6Uuk6hNMZ9azEad2R6CMuBeNkKGTKuGbnB3GNfthnHdLmi6pEpdEhERtVDAvWtOnDgRRqMRu3btwtatW2GxWBAZGYkBAwZg+vTpuOKKK3jiAVErO31yZEdJ62gLdCP7uMP22l2Iu+tKqcshIqIWCriwPXDgQAwcOFDqMojoDJ5l2rXdO0lcSejTj+yDUgD1G/e12oILRETkPwE3ZpuIAo/lwDEAPDmyNWj7ZkDQquGsqoM154TU5RARUQsxbBPRBbnMVliPuE/W88yxTf4jUymhG9QNAFC/ca/E1RARUUsxbBPRBVlyjgMuF+SxEVAk+n9ZWwJ0Q3sCAIwb90lcCRERtRTDNhFdkPfkyO4dOX64leiGucN2/aZ9nG+biCjIMWwT0QXx5MjWFzYgC4JKAUdxJWxHi6Uuh4iIWoBhm4gu6MyebWodMq0a2v5ZANyzkhARUfBi2CaiCzo9xzZ7tluT/oyhJEREFLwYtonovOxl1XCU1wCCAE3X9lKX06bohvUCABg3cEYSIqJgxrBNROfl6dVWdW4HWZhG2mLamLDsroBcBvvxUthOlkldDhERNRPDNhGdF0+OlI48PAzaPhkAgPpN+yWuhoiImothm4jOiydHSssz33Y9h5IQEQUthm0iOi+GbWnph7vHbfMkSSKi4MWwTUSNEh1OWA4dAwBoenaWuJq2KWxId0AQYM09CXtZtdTlEBFRMzBsE1GjrHmFEK12yPRaqDokSl1Om6SICvd+qsD5tomIghPDNhE1yrw/HwCg6dYRgowvFVLxLt2+mSdJEhEFI76DElGjPDORaHpyJhIp6QZ1BwCYfj8gcSVERNQczQ7br7zyCvLy8nxZCxEFEMu+U9P+ceVISYUN6QEAMO/Nh9NgkrgaIiJqqmaH7S+++AJTp07FzJkzsWDBApjNZl/WRUQS8/ZsM2xLSpUSB2VqPOBywbQ9R+pyiIioiZodtj/66CNcfvnl2LdvH55//nmMGDECL774Ivbt40k8RMHOUVUHe3ElAE77Fwh0p3q3OZSEiCj4NDtsjx49Gu+++y7WrVuHxx9/HAkJCfj222/xhz/8AdOnT8dXX30Fo9Hoy1qJqJV4erVVHZMgDw+TuBoKG+wet13PsE1EFHRafIJkTEwM7r77bixduhRz5szBVVddhWPHjuGll17CiBEj8Mwzz2D79u2+qJWIWgmHkAQWb8/2tkMQHU6JqyEioqbw6WwkAwcOxKuvvoqPP/4Y8fHxsFgs+OGHH3DzzTdj6tSpWLZsmS8PR0R+Yj51cqSmO8N2INB0bQ9ZeBhcRrN3VU8iIgoOCl/tyGg0YtGiRZg/fz4OHjwIURTRr18/XH311Thw4AB+/PFHPProozhx4gTuueceXx2WiPzAcuDUTCSc9i8gCHI5wrK7wbh6O+o374e2d7rUJRER0SVqcdjetm0bvvvuO/zyyy8wm82IiIjATTfdhOuvvx5dunTxbjdr1izcfvvtmDNnDsM2UQATHU5YDp5app3DSAKGbkh3d9j+/QDi7p0mdTlERHSJmh22P/vsM8yfPx8FBQUQRRF9+/bF9ddfjylTpkCtVp+zfUxMDCZOnIh33323RQUTkX9Zj5xapl2ngapjktTl0Cm6UydJmjbvhyiKEARB4oqIiOhSNDtsv/baawgPD8eNN96I66+/HpmZmRd9TM+ePTF9+vTmHpKIWoFnMRsu0x5YwvpnAQo57MWVsJ8sgyotUeqSiIjoEjQ7bL/yyiuYMmUKNBrNJT9m9OjRGD16dHMPSUStwHyAy7QHIplOA23vdJh3HEb95gMM20REQaLZ3VYymQwFBQUX3Obw4cP44YcfmnsIIpKAt2eb47UDjncoCefbJiIKGs0O288++yxWrlx5wW3WrFmDZ599trmHICIJeObY1jJsBxxP2K7fvF/iSoiI6FI1O2yLonjRbVwuF2Qc80kUNBzVBtiLKgBwju1A5FlJ0nLwGJy1XKGXiCgY+DUJHzhwAJGRkf48BBH5kHeZ9g5JkEdwmfZAo0yMgapTO0AUYdp6SOpyiIjoEjTpBMlbb721wfWFCxdiy5Yt52zncrlQUlKCwsJCTJ48uWUVElGrOb1Me0dpC6Hz0g3uDtvRYtT/vh/h4wZKXQ4REV1Ek8L2mcFaEAQUFhaisLDwnO1kMhkiIyMxadIkPPfccy2vkohahXeZ9h6dJa6EzidscA9Uf7MK9Zt5kiQRUTBoUtg+dOj0x5Zdu3bFQw89hIceesjnRRGRNLzLtLNnO2DphpyakWTHYbhsdshUSokrIiKiC2n2PNtffPEFUlJSfFkLEUmIy7QHB3VmGuQxEXBW1cGy5wjCBnaVuiQiIrqAZp8gOWjQIIZtohBiPVII0WKDEKZ2n4RHAUkQhDOmAORQEiKiQHfJPduexWnGjRsHvV7fpMVquEQ7UeAz7z0CAND26Mxl2gNc2ODuqFu6GfW/70f8QzOkLoeIiC7gksP2M888A0EQ0KdPH+j1eu/1CxFFEYIgMGwTBQHznnwAgLZPusSV0MXohvQA4F7cxvM6S0REgemSw/Yrr7wCQRAQHx8PAPjHP/7ht6KIqPVZ9uQBALS9GLYDnbZPBgSNCs7KOljzCqHpkip1SUREdB6XHLZnzGj4UeXVV1/t82KISBqiKMK859Qwkj4ZEldDFyNTKxHWPxP1G/ehftM+hm0iogDGgZlEBPuJMjhrjBCUCqi7tpe6HLoEnqEkpt95kiQRUSBrdtguLS3F1q1bYTabvbe5XC58/PHHmDlzJu644w6sW7fOJ0USkX95erXV3Tpw3uYgcea4bSIiClzNnmf73//+N1atWoUNGzZ4b/vggw8we/Zs7/WtW7fi66+/Rq9evVpWJRH5lXcICcdrB42wQd0AQYDtaDHsJVVQJsVIXRIRETWi2T3bu3btwtChQ6FUunvBXC4X5syZg86dO2PNmjWYP38+NBoNPvvsM58VS0T+YfacHNmbYTtYyCN03sWH6jmUhIgoYDU7bJeXlzdY1Gb//v2orq7GzTffjKSkJPTq1Qvjxo3D7t27fVIoEfmPee+paf8YtoOKd+l2DiUhIgpYzQ7bTqcToih6r2/fvh2CIGDIkCHe2xITE1FRUdGyConIr+xl1XAUVwKCwGXag4xu8Klx278zbBMRBapmh+3k5GTs2bPHe33lypWIj49H586dvbeVl5cjIiKiZRUSkV9ZPCdHZqRCrtdKXA01RdipkyTNe/LhNJgkroaIiBrT7LA9YcIE7NixA7NmzcKTTz6J7du3Y8KECQ22yc3NRWoq538lCmTekyN7d77IlhRoVClxUKYlAC4XTNtzpC6HiIga0eywfdddd6FXr15Yvnw5Fi1ahC5duuChhx7y3n/kyBHs3bsXgwcP9kmhROQfp8M2F7MJRpwCkIgosDV76j+9Xo958+bh8OHDAID09HTI5XLv/Wq1Gu+++y6n/SMKcJ6ZSDQ8OTIo6YZ0R838X7m4DRFRgGp22PbIzMxs9PbU1FQOISEKcM5aI2wFJQA4E0mw0g3pCQAwbTsE0e6AoGzxyzoREfkQl2snasM8U/4p0xKgiA6XuBpqDnVWGuRRerjqLTDvy5e6HCIiOkuLukA2btyI//73v9i7dy8MBgNcLtc52wiCgAMH+PEmUSDyjtfuw/HawUqQyRA2uDsMv2xB/ab9COvX+KeNREQkjWaH7V9++QWPPvooXC4XkpOT0blz5wZjtoko8HlXjuzFmUiCmW5ID3fY3rwf8Q9eLXU5RER0hmaH7ffeew9qtRrvv/8+hg4d6suaiKiVmPdw5chQoBt8aiXJ3w9AFEUIgiBxRURE5NHsMdtHjx7FFVdcwaBNFKScRjOsh08AALR9ukhcDbWEtl8mBI0KjvIab5sSEVFgaHbYjo6Ohkaj8WUtRNSKLPvyAZcLynaxUCbFSF0OtYBMrYRuUDcAQP2GvRJXQ0REZ2p22J48eTI2bdoEh8Phy3qIqJWYduYCALT92KsdCnTD3WsaGNfvkbgSIiI6U7PD9iOPPIKIiAg8+uijKCoq8mVNRNQKzLtOhW3ORBIS9CN6A3D3bIuiKHE1RETk0ewTJK+88ko4HA7s2rULK1euREREBPR6/TnbCYKAlStXtqhIIvI9865TM5H0Zc92KND2z2owbluT1V7qkoiICC3o2RZFEXK5HO3atUO7du2g0+kgiuI5l8bm3iYiaTnrTLDmnQQAhDFshwSZWumdlYTjtomIAkeze7ZXr17tyzqIqBWZ9x4BRBHK1Hgo4qOkLod8RDe8F4xrd8G4fg9i77xC6nKIiAhcrp2oTTJ7To5kr3ZI4bhtIqLA06Ll2j3y8vKQn58Pk8mE6dOn+2KXRORHplMnR4ZxJpKQou2XCUGr5rhtIqIA0qKe7T179uCqq67C1KlT8cc//hHPPvus976tW7eiT58+WLVqVYuLJCLf8s5Ewp7tkML5tomIAk+zw3Zubi5uu+02nDx5ErfffjtGjRrV4P6BAwciOjoay5Yta3GRROQ7zlojbPnu6ToZtkMP59smIgoszQ7bs2fPBgAsWLAATz/9NHr16tXgfkEQ0LdvX+zdy94VokBi3u2e8k/VIQmK6HCJqyFf47htIqLA0uywvWXLFkycOBEdOnQ47zbt2rVDeXl5cw9BRH5g8g4h4WI2oejscdtERCStZp8gWV9fj5iYmAtuY7PZmjzPdmlpKZYuXYp169YhPz8fFRUViIyMRP/+/XH33XejT58+zS2ZiHDGTCQ8OTIkecZtG9fuQv2GvTxJkohIYs3u2W7Xrh1yc3MvuM3+/fuRlpbWpP1++eWX+Mc//oETJ05g2LBhuOOOOzBgwACsWrUKM2fOxJIlS5pbMhHh9MqRXMwmdHnHba/dJW0hRETU/J7tMWPGYM6cOdi0aROGDh16zv1LlizBrl278OCDDzZpv71798bcuXMxcODABrdv27YNt99+O/76179i3LhxUKlUzS2dqM1yVNXBdqwEAKDtw2EkoUo/uh9KX/kSxt92Q3Q6ARmXVCAikkqzw/b999+PX375Bffccw+uvvpq79jsuXPnYteuXVi8eDFSUlJwxx13NGm/EyZMaPT2gQMHYvDgwVi/fj1ycnLOOSGTiC7O06utSk+GPFIvcTXkL2H9ukAWoYOzxgjz7iMcMkREJKFmd3fExMRgzpw56NmzJ+bPn481a9ZAFEW89NJLWLRoEXr16oXPP/8c4eG+m+1AoVA0+EpETeOZX5tDSEKboJBDP9I9K4lx7U6JqyEiattalFrT0tLwzTff4MCBA9i9ezdqa2uh1+vRu3dv9O7d21c1AgCKioqwceNGxMfHIzMz84Lbcrqr4OFpK7ZZ6zDtPAwA0PTJaPbvnG0WHPSj+6Ju8SYYft2JuD/+AQDbLJjweRZ82GbBRxRFCILg9+P4pIu4e/fu6N69uy921Si73Y6nnnoKNpsNTzzxBORy+QW3r62t9Vst5B9ss9ZRfypsOzPaoaampkX7YpsFNlf/dABA/ZYDqC4pg0yrZpsFIbZZ8GGbBZfo6Gi/H+OSw/aZS7E3hSAIeOWVV5r1WABwuVx47rnnsHXrVlx33XWYPn36RR8TGRnZKv+pUMuJooja2lq2WStwlNfAWVQJCALih/aBPCKsWfthmwUHsW8kKlPjYT9ZDsWBE3ANyGCbBRE+z4IP2yz4tNanEJccthcuXNjo7YIgNFqs5/aWhG1RFPHCCy/gp59+wrRp0/DXv/71kh4nCAL/0IMM28z/PCtHqjNSoYjUtXh/bLPAJggC9KP7oXructSv3QXtgAy2WRBimwUfthmd7ZLD9qpVqxpcd7lc+Pvf/47du3fj1ltvxcCBAxEbG4vKykps3boVX375Jfr27YvnnnuuWYW5XC48//zzWLBgAa688kq8+uqrkHH6KqJm85wcqe3HKf/aivAx7rBtXLsL2seulbocIqI26ZLDdkpKSoPrH3/8Mfbs2YMff/wRCQkJ3ts7d+6M7OxsXHPNNZg+fTqWLVuGe+65p0lFnRm0p0yZgtdee+2i47SJ6MK4mE3box/lXnHXsu8onBW1QFSUtAUREbVBzT5B8rvvvsPkyZMbBO0zJSYmYvLkyZg/f36TwvaZQXvSpEl4/fXXGbSJfMDk6dlm2PYZu1PEsVoHCmodKDE6G1wqzS5YnSKsDhEWJ2B1iHC4RChkAlRyQCEToJQL0MiBKI0MkWoZojTuS4xWhnZ6Odrp5UiJUCAlXA6FrOkfSyvio6Dp1RmWvfmwbNwPZHTww2+BiIgupNlhu6Sk5KKrOKrVapSUlDRpv++99x4WLFiAsLAwdOzYER988ME524wbNw7dunVr0n6J2jJ7cSUcxZWATAZtr3SpywlKBqsLe8ps2FViw65SO3Iq7ThW64DD1dQ9Nf2EHKUM6BilQHq0At3ilOiTqELfRBXidRfviAgf0w+WvfmwbtgH3DqlyccmIqKWaXbYTkpKwsqVK/HII49ArVafc7/ZbMaKFSuQlJTUpP0WFhYCAEwmEz788MNGt0lJSWHYJmoC78mRmWmQ6TQSVxMcbE4RW4qsWH/civXHLdhdZoerkZysVQjoFKVAcrgcSXr3pZ1ejrgwGbQKAWq5AI1CgFohQC4ADhdgd4mwO91fzXYRNVYXai0u1FhcqLG6UGFyodjoRJHBiWKDAxYnkFvlQG6VA8uOWLzHTgmXo0+iCoOSVRjVQYPMGMU5J2bpR/dD+ezvYdmwr9XmlCUiotOaHbavvfZavPnmm7jhhhvw4IMPYsCAAYiOjkZ1dTW2b9+O9957D4WFhXjssceatN9XX30Vr776anPLIqJGeIaQhHHZ7guyO0VsOGHFolwTluWZUWNtmK5TwuXom+TuVe4Rr0RGjALt9HLI/BhgXaKIIoMTR6odyK2yY2+ZHbtLbcircqDQ4EShwYwleWYAtUjSyTCqgwaT07UY1UEDjUKAbmgPCGolnMWVsOUVQpOZ5rdaiYjoXM0O23fffTcKCgqwYMECPPzwwwAAmUwGl8v9maooipgxYwbuvvtu31RKRM1m5njt8xJFEduKbZh/wIQleWZUW06PC4kLk2FUew1GtldjRJoayeE+WQesSWSCgNQIBVIjFBjd4fSnEgarC3vLbNhZYsOGE1b8XmhFSb0L8w6YMO+ACTqlgLEdNZjRLQwdhvSAde0uGFbvYNgmImplgtjCGb23bNmChQsXIicnB0ajEXq9Hl27dsX06dMxaNAgX9V5yaqrqxEVFcWPSoOEKIqoqalhm/mRKIo42O1mOMqqkf7Lm9Bld23x/kKhzQxWF74/ZMKcvfU4WGH33h6rleGKLlpMywzDoGQV5M04MVEKFod72MvKfAuW5JlRbHR674uFDaM3rcEMTTUu+/xxCaukSxUqz7O2hG0WfFpraF2Lw3agYdgOLnxx8j9bYQUO9boVkMvQ8/j3kGnPPceiKYK9zYqNTny604Av99bDaHO//GkUAq7K1OLqrmEYmqpu1swfgUQURewqtePHHBMW5phQYTrdWz8qVYW7BoRjbEeNX4e/UMsE+/OsLWKbBZ/WCtut/5koEbUq867DAABNt44tDtrB7FitA+9sqcP3B02wn8qeXWIUuLW3Htd0DUOkJnQWzRIEAf2SVOiXpMLzIyKx+qgZn7z7GzZ36IZ1J21Yd7ISnaIUeDg7HDO6hkEpZzAgIvIXhm2iEGfeeWq8dp+2uXJksdGJf/9eh2/213un6RucosKDA9tG765SLmBCuhYZ5l04MnsOVt1zLxZFdcbRGgceW1GNt36vw/8NDMf1PXRQMXQTEflc6HTlEFGjTNtzAABhA7IkrqR1VZqc+MvaGgz/bzHm7HUH7TEd1Pjxungs+EMCxnXShnzQPpNmZG8k1VTizkVfYetd7fCnkZGIC5PhRJ0Tz6yuwdgvS7E0z4wQG1lIRCQ59mwThTDR5YJph3sYSdiATImraR1Wh4j/7DTg7S0G1NvdwXFwigpPDY3EkNS2O4xGPbwnIJPBeugYlGWVuH9APG7rrcOcvfV4d5sBR2scuPvnSmQnq/DnkZHo367t/q6IiHyJPdtEIcyaVwiXwQRBq4ama+gv1b3yqBlj55TilQ11qLeL6J2gxNzpcfj+2vg2HbQBQB6lh7a/+x8u4687AABapQz39A/HhtuT8MdB4dAoBGwtsmHqt+V4YEklCuscUpZMRBQSGLaJQpj5VK+2tnc6BGXofpB1pNqOW36owG0/VqKgxoGEMBnenhiNxTckYExHDWcGOCX88gEAAMOq7Q1u16tkeGpYJH67LRHXdQ+DAOCnw2aM+bIUH243wO7k0BIiouZi2CYKYaYdoT1e22hz4e+/1eDyL0uxusACpQx4cIAev92ehGu76drUmOxLEX5ZfwCAYc1OiA7nOfcnhyvw1oQYLLsxAYOSVTDZRbz0Wy0mf12GbUXW1i6XiCgkMGwThTDveO3+oTdee1meGaM/L8H7242wu4CxHTVYdUsinh8ZBb2KL22N0fbvAnmUHq66eu+Js43pmaDC93+Ix5vjoxGtkeFghR3T55XjL2trYLa7zvs4IiI6F9+RiEKUy2qHZW8+gNDq2S4xOnH3ogrc9XMlSupd6BApx/+mxeKLq2KRHq2UuryAJsjl0Ht6t88aSnI2mSDg+h46rDs1tEQE8MlOI8bNLcPmk+zlJiK6VAzbRCHKsi8fot0BeWwElO0TpS6nxVyiiC/2GDHmixIsPWKBQgY8lB2OVbckYXxnLcdlX6LwsafC9uoLh22PGK0cb02IwZdXxaKdXo6CGgeu+a4cL/xajXobe7mJiC6GYZsoRJ0eQpIV9EE0t8qOa+aX49nVNTDYRPRNVGLpDQl4dngktIrg/tlaW/hY90mS5p25cFTWXvLjxnbSYvUtibippw4A8N/d9ZgwtxQ7itnLTUR0IQzbRCHKtP0QgOAer211iHhjUy3GzynFliIbwpQC/jo6Ej9dn4Du8SqpywtKynax0HTvCIgiDGt2NumxEWoZXhsXja9nxCE5XI6CWiemzyvHv3+vg9PFGUuIiBrDsE0Uojw929ogDdtbCq2Y+FUp3vzd4D0B8tdbEnF3v3DIZezNbgnPFIDG1Tua9fhR7TVYeVMipmVq4RSB1zfV4drvynGilvNyExGdjWGbKAQ5agyw5RUCCL6e7TqrC8+sqsbV88uRW+VAXJgM70+OwRdXxSI1InTnCm9N3vm2V29v9vLskRp3u7w9MRp6lYAtRTaMn1uKHw6ZfFkqEVHQY9gmCkHmnbkAAFXHJChiIyWu5tItyTNjzBcl+HJvPQBgZo8wrLk1CVdlhQX9uPNAEja4B4QwNRyl1bDsP9rs/QiCgGu76bDipkQMbKeCwSbi/5ZV4amV1TA7OKyEiAhg2CYKSaeHkATHlH/FRifuWlSBe36uRGm9C52iFJh3TRzeGB+DaA1fpnxNplZCP7IPgItPAXgp2kcq8P0f4vHI4HAIAObuq8eVX5cir8re4n0TEQU7vosRhSBzkCxm4xJF/G+3ezq/Zaem83s4Oxwrbk7E8DSN1OWFNM+sJL4I2wCgkAl4cmgkvpoRh/gwGQ5VOjDpqzLMP1Dvk/0TEQUrhm2iECOKond1wEAO24cr7bh6Xjme/7UGRpuIfkkqLLsxEc9wOr9W4Rm3bfr9AJwG342zHtVeg+U3JWJ4mhpmh4hHllfjseVVMHHlSSJqoxi2iUKMvbACjrJqQC6Dtk+G1OWcw+oQ8a9NtZgwtxTbim3QKQW8NCYKP14Xj25xXAGytag7J0PVqR1EuwPG9Xt8uu8EnRxfXx2HJ4ZEQCYA3x4w4Yqvy5DLYSVE1AYxbBOFGE+vtqZHJ8i0aomraej3QivGzy3FW6em8xvXSYNfb03EnX31nM5PAp7VJI0+GkpyJrlMwKNDIvDtjDgkhMlwuMqBK74uw9I8s8+PRUQUyBi2iUKMeUfgDSGptbjw1MpqzJhfjiPVDsSHyfDhlBj8b1osUsI5nZ9Uwi8fCMA9bru5UwBezLA097CSoSkq1NtF3P1zJf6xvpaL4BBRm8GwTRRizlymXWqiKGJxrgmXfVmCufvcJ8rd2FOHNbcmYWomp/OTmm5EbwhKBWzHSmDLL/LbceJ1cnw9Ix739tcDAN7dZsDNP1Sgyuz02zGJiAIFwzZRCBEdTph2ngrbA6QN20UGB+5cVIl7F1ehtN6FztEKfHdtPF4fF40oTucXEOR6LcKGdAfgu1lJzkcpF/DiqCi8PzkGWoWAdcetmPxVGfaW2fx6XCIiqfEdjyiEmPcfhWiyQhahgzorTZIaRFHEnL1GjP2yFMvz3dP5/XFQOFbclIihqYE1hpzOWE3Sz2Hb46qsMCyamYCOkXKcNDgx/dsyzOP0gEQUwhi2iUKIaetBAO5ebUHW+k/vY7UOXL+gAk+vqoHh1HR+v9yYiKeGRULD6fwCkmfctnHDHrgsrdPL3C1OiSU3JOLyThpYnMCjy6vx3Opq2Jwcx01EoYdhmyiEmLYeAgCEZXdt1eO6RBGf7jTg8i9LseGEFRqFgBdHReLH6+LRldP5BTRN945QJMVANFlRv3l/qx03UiPD/6bF4vEhEQCAz/fU4/rvy1Fh4jhuIgotDNtEIcTTs63L7tZqx8yrsmPG/HL8eW0tzA4RQ1NUWHlzIu7tH87p/IKAIAg+X03yUskEAY8NicDnV8UiQiVgS5ENV3xdhgPlHMdNRKGDYZsoRDjKa2ArKAEAhA30/8mRDpeI97bWYcLcUmwtci9O84+xUZh3bTw6RXE6v2DimW+7tcO2x7hOWvc47igFThqcuGpeOX45wvm4iSg0MGwThYj6be4hJOqs9pBH6v16rMPVLkz7thyvbKiD1QmM6aDGr7ck4tbeesg4nV/Q0Y/pB8hksB46BlthhSQ1ZMQo8fPMBAxPU8NkF3HXokrM3lLnt/m/iYhaC8M2UYjwnhzpx/HaNqeINzbX4bqfzdhTZkekWsBbE6IxZ3ocUiLYmx2sFDER3kWQjKul6d0GgGiNDHOnx+G23jqIAF7dWIdHlvPESSIKbgzbRCHCc3Kkv8Zr7yuzYcrXZXjrdwMcLmBiuga/3pqE67rruDhNCGjtKQDPRykX8MrYaLxyWRTkAvDdQRNu/bECBqtL0rqIiJqLYZsoBDRYzMbHYdvpEjF7Sx2u/KYMByvsiNXK8K/Ravznihgk6uQ+PRZJR+85SXLNTogO6WcEua2PHv+bFoswpYDfjltx9fxyFBulr4uIqKkYtolCgGcxG3mkHurMVJ/tt6DGgRnzy/HqxjrYXcCUDC1W35yASR0V7M0OMWH9u0AepYerrh6mU+P/pTa2kxbfXxuP+DAZDlbYMfWbMhyqsEtdFhFRkzBsE4UAz3htrY8WsxFFEXP3GjF+bim2FdugVwn494RofHxFDGLD2JsdigS5HPrLTs1KsnqHxNWc1jtRhUXXJyAjWoFioxNXzyvDppNWqcsiIrpkDNtEIcC7mI0Ppvwrr3fi9p8q8dSqGpjs7nmzV92ciD9wbHbI847blvAkycakRSrww/UJGJSsQp1NxE0Ly7GcUwMSUZBg2CYKAb5azGZZnhlj55Ri5VELVHLgTyMjMe/aeKRyppE2wbO4jXlnLhwVtRJX01C0RoavZ8RjUroGVidw98+V+O5gvdRlERFdFMM2UZDzxWI2JrsLT6yowl0/V6LK7EL3OCWW3JCI+weEc97sNkSZFANNj06AKMKwJnCGknhoFAI+uiIW13UPg1ME/vhLNf6z0yB1WUREF8SwTRTk6k/1ajd3MZt9ZTZM+qoMX+83QQDwfwPD8fPMBHSLU/q4UgoGgTIF4PkoZALeGB+Nu/u5/9ZfXFuLf22q5eI3RBSwGLaJgpxpS/MWsxFFEZ/tMmLqt2U4Uu1Akl6OedfE4bkRkVAr2JvdVnnCtvHXnRBdgTm3tUwQ8JdRkXhyaAQA4K3fDXhxLQM3EQUmDsQkCnL1m/cDAHRDe17yY6rMTjy2ohor8i0AgPGdNXhzfDRitJxppK0LG9wdMp0GjrJqWPYdhbZ3utQlNUoQBDwyOAJRGhme/7UGn+4ywu4S8ffLojj0iYgCCnu2iYKYy2yFeWcuAEA3pMclPWbDCQvGzynFinz3SZAvjYnCf6fGMmgTAECmUkI3sg8AwLBqm8TVXNztffR4c3w0BABf7KnHUyur4WIPNxEFEIZtoiBm2nkYot0BRVIMVB2TLrit0yXizc11uP77CpTUu5AercDPMxNwZ189p/SjBgJ93PbZru+hw9sToyETgK/3m/Do8mo4XQzcRBQYOIyEKIiZNh8AAOgGd79gYK4wOfHwsiqsO+5eDOT67mF4+bIohCn5/zadyxO267cchLPOBHlEmMQVXdw13XRQyAQ8vKwK3x00weES8fbEGChk/EeSiKTFd1qiIOYdr32BISRbCq2YOLcU645boVW4V4J8c0IMgzadl7pjO6jSkwGHE8bfdkldziW7KisMH10RC6UM+CHHjAeWVMHuZA83EUmL77ZEQUp0OlHvmYmkkbAtiiI+2GbAtd+Vo6TehYxoBRbfkIA/dNe1dqkUhMIvHwggeIaSeEzO0OKTK2OhkgNL8sy4d3ElrA4GbiKSDsM2UZCyHDoOV109ZHottD06NbivxuLCHYsq8fL6WjhF4OosLZbckICsWM6dTZcmfGx/AO6wHWxT6o3vrMV/p8ZBIweW51tw35JK2NjDTUQSYdgmClL1m/YBAMKyu0FQnJ5JZF+ZDZO/Oj3byKtjozB7Ugx0Kj7d6dLph/eGoFLAfqIM1tyTUpfTZGM6avDfq9yBe0W+BfcvZuAmImnw3ZcoSNV7To4c0t1724JDJlw1rxzH65xoHyHHT9cn4JbenG2Emk6m03jnbjeuDq6hJB6j2mvw32nuwP1LvgUPsIebiCTAsE0UhERRhOlUz7ZuSA/YnSL+vKYGDy+rgsUhYmxHDZbemIheCSqJK6VgFqzjts80qoMGn02Lg1oOLDtiwYNLKnnSJBG1KoZtoiBkP1kGe3EloJDD1L0LblhQjk93GQEAswaF43/TYhGl4dObWsYzbtu4YS9cZqvE1TTf6A4afDbVHbiXHrHgwaWcpYSIWg/fjYmCkGcIybFRIzBlYS02FdqgVwn49MpYPD0sEnLOLUw+oO7WAcp2sRAtNtRv3Cd1OS0ypqMG/zljlhIGbiJqLQzbREGofvN+rOgzFA8PvwHFRifSoxVYPDMBkzK0UpdGIUQQBOiDbDXJCxnbSdsgcP/fMgZuIvI/hm2iIOMSRbxVn4A3r7oDdkGGSekaLJ6ZgIwYTutHvucdtx2kJ0me7fJO7nm4lTJgca4ZDy2rgoNLuxORHzFsEwURk92FuxeU4puuwwAAs3qp8MmVsQhX86lM/hE+pi8gl8F6+ARsJ0qlLscnxnXS4uNTgfvnXDMeWsrATUT+w3dooiBRZHDg6nnl+OWEA0qHHc9tWoinL0+AjNP6kR/JI/UIG5AFADCs2iFxNb4zobMWH59a2n0RAzcR+RHDNlEQ2F1qw5XflGFfuR0xTiv++cUbmJ7Gpy+1jnDPuO0QGUriMSGdgZuI/I/v1kQB7udcE2bML0dpvQtdYxV4b8Vn6HYyH7rhvaQujdoIz7ht45qdEO0OiavxrQnpp4eULMo14/8YuInIxxi2iQLYRzsMuG/x6YVqvpsQhqituwCAYZtajbZvBuSxEXAZzTBtOyR1OT43oXPDMdwM3ETkSwzbRAHIJYr427oa/G1dLQDgrr56/G9aLGTb9wOiCHVmGpQJ0RJXSW2FIJMhfEw/AKExBWBjGgvcnBaQiHyBYZsowNicIv74SzU+2uFeEfKFEZH462j3QjX16/cCAPQjektZIrVBobB0+8VM6Hx6WsCfT00LyMBNRC3FsE0UQOptLtz+YwUWHDJBIQPenhiNBwaGQzg144hxwx4AHEJCrU9/mbtn27w7D/ayaomr8Z/xpwK3Ss7ATUS+wbBNFCAqTE784ftyrD1uhVYh4H/T4nBtN533fke1AZZ9RwEAumE9pSqT2ihlYgw0vdMBAMZfQ2cKwMaMPzUtoCdwP7i0CjYGbiJqJoZtogBwrNaBq+aVY3epHTFaGeZfG4/LOmoabFO/aZ97vHaXNCgTYySqlNoyzxSAdSu2SVyJ/53Zw70kz4w7f6qA2e6SuiwiCkIM20QSy6m0Y/q3ZSiocSAtQo4frotHvyTVOdt5xmvrRnAICUkjYsIgAIBx1faQmwKwMeM6afG/aXHQKAT8esyKm3+ogMHKwE1ETcOwTSShPaU2XDO/HGUmF7rFKfHj9QlIj1Y2uq1nvLae47VJImEDsyCPiYCz1oj6LQelLqdVjO6gwddXxyFcJWBzoQ0zF5SjyuyUuiwiCiIM20QS2VpkxXXfl6Pa4kK/RCXmXxuPRJ280W0bjNdm2CaJCHI5wse7ZyWp+2WLxNW0nkEpasy/Nh7RGhl2ldrxh+/KUVbPwE1ElyYgw/aPP/6IP//5z5gxYwZ69uyJrKwsLFiwQOqyiHxm3XELblhQAYNNxNAUFb65xv1Gfj4cr02BwjOUxLC87YRtAOiVoMKCP8QjUSfDoUoHrp5fjpN1oT+UhohaLiDD9ttvv41vv/0WRUVFSEhIkLocIp9anm/GbT9WwOwQcVkHNb6cHge96sJPRY7XpkARPrY/oJDDevgErEeLpS6nVWXGKrHwugSkRchRUOMO3HlVdqnLIqIAF5Bh++WXX8bq1auxefNmzJw5U+pyiHzmlyNm3PNzJWxOYEqGFp9OjYNWefGnIcdrU6CQR+qhG9oDQNvr3QaADpEKLLwuARnRChQZnJg+rxzbiqxSl0VEASwgw/awYcOQkpIidRlEPvXLETPuXVwJhwuYnqXFB1NioFYIF30cx2tToPEMJWlL47bP1E4vx4I/xKNfohLVFheu/74cy/LMUpdFRAFKIXUBvvbwww+jZ8+eyMzMRFZWFtLT06FWq6Uui85DFMUGX0PV8nwz7ltcBYcLuCpTi39PiIZcuLSfu37jXvd47YxUKBKiJf9dtZU2CyW+brPwCYNQ/Kf/oH7DXjjq6iEPD/PJfoNJjFaGb6+Jw4NLq7HyqAX3LK7ES6MjcVsfvU/2z+dZ8GGbBR9RFL0rNPtTyIXtuXPnNrguk8nQvn17pKen47bbbsOVV14JAHC5XN77SXq1tbVSl+A3vx534NG1VjhcwOSOcvx1sABj3aX/vNWr3AuIKLIzUVNT46cqmy6U2yxU+azN4nRQdEyCo6AEpUs2IGxitm/2G4T+NUKGlxUKfJfrwPNrapFfYcIj/ZU+ewPn8yz4sM2CS3R0tN+PEXJh+5lnnsGxY8eQm5uLnJwcGAwGFBQUoKCgADNmzEBUVBQAYPPmzRg3bhy6dOmCrKwsZGRkIDMzE5mZmejSpQtiY2Ol/UHaCFEUUVtbi8jIyFb577K1rcg347G19d4e7bcnRkMha9rPWbbZPZ9x7ITBiDz19yulUG+zUOSPNjNNGozKD3+Ea/1+RF0/3if7DFZvTRbRMdaAf2024NN9dpTbFHhjfBS0lzBM7Hz4PAs+bLPg01qfQoRc2H7qqacQFRUFQRAgiiJKS0uRk5ODnJwcjBkzxvsEOHz4MEwmE3bv3o3du3efs58PPvgA999/PwDg5MmT2LBhA7p06YIuXbogPDy8VX+mtkAQhJB7cVqeb8a9i6tgdwHTMrV4Z1JMk4O2vaQK1kPHAEGAfmSfgPodhWKbhTpftlnERHfYNqzYCogihDb8KaEgCHh0SCSSwxV4alU1fjpsxrFaBz6bGockfeNz5zdl33yeBRe2GZ0t5ML2mQRBQFJSEpKSkjB69OgG9914440YOnQocnJykJubi9zcXBw+fBiHDx/GyZMn0alTJ++2a9euxc033+y9npSUhMzMTGRkZKBLly649tprkZGR0Wo/FwW+Fflm3PtzJewuYGoXLWY3I2gDgHHdLgCAtnc6FDERPq6SqPl0Q3tAptfCUV4D8648hPXPlLokyV3fQ4f2kQrc83MldpfaccXXpfhsWhz6JKqkLo2IJBTSYftClEqld9jI2UwmExSK078anU6H4cOH4/DhwygvL0dJSQlKSkqwbt06AEDv3r29Yfvnn3/Gv/71L3Tp0sUbxrt06YL09HSEhbW9k4jaohX57un9PEH73cnNC9oAYFy7CwCgH93XdwUS+YBMpUT42AGo/Wk96n7ZwrB9ytBUNRbfkIDbf6zA4SoHZswvx1sTojEtk6//RG1Vmw3bF3J2KJ4+fTqmT58OAKipqfH2hHsuPXr08G67c+dOrF27FmvXrj1nvykpKZg3bx6GDRsGADhx4gQqKiqQnp6OiAj2WoaClUfd0/vZXcCVLQzaoijCuGYnAIZtCkzhEweh9qf1MCzfgqRnb774A9qIDpEK/HR9Ah5cWoXVBRY8sKQK+8vseHJYRLNfD4goeDFsN1FUVBSys7ORnd342fc33HADOnfujNzcXOTl5XkDeXV1NQoLCxETc3qp7S+++AIvvPACACAhIQEZGRlIT09HRkYGMjIyMGnSpAbbU2BbefT0gjVXdNHi3WYOHfGw5hXCXlwJQa2EbkiPiz+AqJVFjBsICALMu/NgL6qAMjlO6pICRrhahv9Ni8XL62vx8Q4j3t1mwPYSG96fHIMEXcvGcRNRcAnIsD1//nxs374dgPtERs9tW7a4F1AYN24cxo0bJ1l9F+IJymerqqpCbm4u0tPTvbeJooj4+HiUl5ejrKwMZWVl2Lhxo/f+ffv2ecP2559/jsWLFyM9Pb3BJSUlBXI5X7iltupow5Uh35sUA6W8ZT1YxrXuXm3d4O6QaTlXPAUeRXwUwgZkwbTtEOpWbEPsbZOkLimgyGUCXhwVhX5JKjyxohqbTloxcW4p3p8Si6GpfE4TtRUBGba3b9+OhQsXNrhtx44d2LFjBwD3cIxADdvnExMTg8GDBze47YUXXsALL7yAuro6HDlyBHl5eQ0unTt39m7722+/Yf78+efsV6VSoWPHjli+fDk6dOgAADhy5AisVis6deoErVbr3x+MsPqoGXefEbTfn9zyoA1wvDYFh/CJg9xhe+kmhu3zmJYZhu5xSty7uBI5lQ5c9305nhkWgQcGhkPGWSuIQp4ghthSR9XV1d6p/0LJxo0b8fvvv+PIkSPeS0FBAex2OwDAaDRCp9MBAO6991588sknAIDk5GR07ty5weWaa64JmJM1RVFETU1N0LbZ6qNm3OWHoC06nNifMROuunpkrHgLYQOyfFCtbwR7m7VF/mwzy8FjODz8AQgqBbrnftMmV5O8VCa7C8+srsH3B00AgNHt1XhrYgwSGxlWwudZ8GGbBR+uIEkNDBs2zHtipYfT6cSJEydw7Ngxb9AG3KtihoeHw2AwoKioCEVFRVi/fr33/quvvtr7/UsvvYQtW7Y0COOdOnVCp06dGuyTznVm0J6crvFZ0AYA865cuOrqIYvQQduX00pS4FJ3bQ9VRgpseYUwrNiKqBmjL/6gNipMKcPbE6IxOFmFP6+pwdrjVlz+ZSn+NS4akzL4KSRRqGLYDmJyuRwdO3ZEx44dG9z+4Ycf4oMPPkBVVRXy8/ORn5+PI0eOID8/H5WVldDr9d5t161bh5UrVza6/4SEBBw7dgwajQYAsGHDBlgsFnTq1AlpaWlQKpV++9kC3a8FFu/QkcnpGnwwJdZnQRsADJ4hJKP6QOCYfApggiAg8ophKH97PmoXb2LYvghBEHBTLz0Gpajx0NIq7Cu3466fK3FjTx3+MioSOlXbXRyIKFQxbIcoQRAQGxuL2NjY886cAgAvvvgirrnmGm8gP3r0KI4ePYqamhq4XC5v0AaAv/3tb1i+fDkAd9BPS0vz9oJ36tQJzz33HGRtYBW5XwssuGtRBayeHm0fB23g9GI2HK9NwSDySnfYNqzYCpfFBpmGi7hcTJcYJRbNTMDrG2vxwXYjvtpXj40nrfj3hGhkJ/PkSaJQwjHb1KiamhqUlpYiK+v0WOF7770X69atQ0FBAaxWa4PtY2NjUVFR4b1+1VVX4eDBg+jYsSM6derk7YH3fJ+UlAQg+Ma4rSmw4M5TQXvSqR5tlY+Dtstkwf7O10G0OZC15WOoM1J9uv+WCrY2I/+3mehy4VCv22AvrkTHb/6CiAmDfH6MULbhhAV//KUaxUYnBAB39NXj6aHhsJvq+DwLInxtDD4cs02SioqKQlRUVIPbPv74YwCAy+VCSUkJjh49ivz8fBw9ehRn/8926NAh7xzjZ4uJiUFlZaX3+kcffQSXy+UN4h06dEBSUlLA9ZKfGbQndvZP0AYA44a9EG0OKFPioUpP8fn+iXxNkMkQccVQVP7nZ9Qu2siw3UTD0zRYeXMi/rauBt8eMOGzXUYsP2LGnwYrcEWU1NURUUsxbFOTyWQyJCcnIzk5GcOHD290mxUrViA/Px8FBQU4evQoCgoKvN97erU9Pvvss3NCuUqlQvv27dG3b98GUx7u378fERERSE5ObtX5xc8O2h9e4Z+gDQCGVe455sPHDWTvCAWNyCuHofI/P6Nu2WaIDicEBc81aIoojQxvTojB9KwwPLWqGifqnLhvpRN/KKzGn0dFIkbL3ydRsGLYJr9o37492rdv3+h9LperwfXrrrsOx48fx7Fjx1BQUICTJ0/CZrMhLy/vnGXsr7nmGuTk5EAulyM1NRUdOnTwXrp164Ybb7zR5z/L2mOtF7QBwLBqGwAg/PIBfjsGka/phvWCPDoczso61G/eD/2I3lKXFJRGddBg1c2JeHVjLf67qx7zD5qw4qgFTw+LwE09dZBzuXeioMOwTa3u7OEhjz/+eIMxbna7HYWFhSgoKDgnmCuVSiiVStjtdhw7dgzHjh3z3tevX78GYXvUqFGwWCzeMO75B6B9+/bo0KEDYmNjL1rr8iNm3LfEPevIhFYI2tajxbAdKQIUcuhH9fXbcYh8TVDIETFpMKq/Xonan9YzbLeATiXD30ZH4bJ2Tvx9iwOHKh14dnUNvt5Xj5cvi8KAdjyBkiiYMGxTwFEqlY1OaQgAe/fuhdPpRElJiTdsey4pKafHN4uiiG3btsFsNmPr1q3n7Kdfv37eFUkB4Pnnn4darW4QyneaYvDY6no4xdOzjvgzaAOne7V1g7tDHsHFQSi4RE4f6Q7bP65H8iv3cShJC/VLkGPZjTH4Yk89Xt9Uhz1ldkz7thwze4Th6WGRSGhkMRwiCjwM2xR05HI5UlJSkJKScs5CP2fasGGDN4ifOHHCO1Tl+PHj3qXtAXcwf+utt2A2m8/Zhyw8Hl0GXYYPl38DxamPb5cuXYro6Gi0b9/e5ydyGlaeGkIybqDP9knUWsLH9IM8OhyO8hoYN+xFOKeubDGFTMBd/cIxLTMMf19fi/kHTfhmvwk/HTbjwQHhuG+AHmHKwDqZnIgaYtimkCQIAvr164d+/fo1ev+Zw1McDgeeeeYZHD9+HMePH8fe3AKUFB4H7Fa4DOXI0lu9QVsURVxzzTXeYK5QKJCamoq0tDS0b98ew4YNw4MPPujdd1OmonRZbDCu3wOA47UpOAlKBSKnjUDV50tR8/0ahm0fitfJ8e+JMbiplw5/XVuDnaV2/GtzHb7YY8QTQyNwfQ+d93WKiAIL59kmSQXSvKSiKOLtLQa8vqkOoijilnQbrkupgUqlQq9evQAAJpMJEyZMwPHjx1FUVASn09lgH9OnT8fChQu9+9PpdBBF0RvIPV/T0tLQs2dPjBgxwvtYw687cPSaF6BIikG3/V9K/vs4n0BqM7o0rdlmxt92I/+qZyGP1KNbzlzIVG13pdmWuFCbiaKIRblmvLqhFsdq3a9BWbEKPDciEpd31PB5KRG+NgYfzrNN1IqcLhEvrKnBF3vqAQBPDI3Eo4PDz3kShoWFYf369QDcPeLFxcXeISrHjx9H586dvdvW1NR4e8Dz8vKQl5fXYF/Tp0/3hm1RFDF45jToDWakJXRG1vPPIzU11Xu51BM6iaSmG9YTiqQYOEqqYPx1ByImDpa6pJAjCAKmZYZhYmctvthjxL9/r0NOpQO3/ViJYalq/HlUJHolcBVPokDBnm2SVCD0BJgdIh5aWollRywQAPxtTBTu7Kv3yb6tViuKiopw4sQJ7+XkyZM4ceIERowYgSeffBIAUFlZibi4uPPu5+qrr8aCBQsAuH9nt912GxITE5Gamuodv56amoqkpCQolf7tSQyENqOmae02K3r2I1R89COirh2D9h8/5ffjhaKmtFmNxYXZW+vw2S4jbKc+bLs6S4unhkWifST71FoLXxuDD3u2iVpBldmJ23+qxPZiG9RyYPakGFzRxXezgKjVanTq1AmdOnW64HaqSiM+1Q9CGWzAEzNQVFmOkydPei9nzlleVVWFL7/8stH9CIKA22+/HZ999hkA9wvJq6++iuTkZG8wT05OPmf+ciJfirp2DCo++hG1P2+Es64e8gid1CWFtCiNDH8aGYXbe+vxz421WJhjxsIcM37ONePW3no8Mjici+IQSYhhm9qsE7UO3PRDBY5UOxCpFvC/aXEYlCLN/LWWVTsxUBkL3YjeSH/xT+fcf+YHUAqFAv/6179QWFiIwsJCnDx5EoWFhSgqKoLdbodef7pXvrKyEs8999w5+9Pr9UhJScHMmTPxl7/8xXuMhQsXelcHbdeund97ySk0aftnQp3VHtac46hZsBaxt0+RuqQ2IS1SgXcnx+Le/jb8fX0t1p+w4tNdRsw7UI8HB4bjnn56aDlzCVGrY9imNmlrkRV3LapEpdmF5HA55k6PQ2asdMGybulmAEDE5CGN3n/mx1yRkZF4/PHHz9nG5XKhvLy8wbZOpxO33XabN5gXFhairq4ORqMROTk5qKqq8m5bUVGBa665psExExISkJycjJSUFEydOhX33nuv91i7du1CSkoK4uLifDr9IQU/QRAQc9MEFP/5P6ieu4Jhu5X1TlThmxlxWHfcir+vr8X+cjv+ubEO/9ttxONDOHMJUWtj2KY259v99Xh6VTXsLqBHvBKfXxWHdnrpPmJ1VBtQv2kfACBySuNh+1LIZDIkJiY2uC0xMRH/+9//GtxmNBpRVFSEwsJCJCQkeG83mUwYMmQIioqKUFRUBIfDgdLSUpSWlmLnzp1IT0/3bltZWYn+/fsDcPe0JyUleXvEk5OTcfnll2PGjBkA3MG8srISsbGxDOVtSNR1l6H4r5/BtD0HlkPHoena/uIPIp8RBAGjO2gwsr0aP+SY8drGWpyoc+KpVTX4ZKcRzw6PxITOnLmEqDUwbFOb4XCJeGV9LT7aYQQATMnQ4u2J0ZIvCGFYvgVwuqDp0QmqDkl+P55er0dmZiYyMzMb3N6hQwds2rQJgDsgV1RUeHvDi4uL0b17d++2NTU1SEpKQmlpKRwOh3dsuYdCofCG7fLyciQlJTUI5e3atfN+HT58OMaOHQvAPZTF5XJBLuf40mCnTIhGxMRBqFuyGVVfrUDy3+6SuqQ2SSYImNE1DFdkaPH5HiPe3mJAbpUDdy6qRHayCs+PiER2Mpd/J/Inhm1qE8rqnXhwaRU2nbQCAB4dHI7HhkRAFgC9OnVLLjyERAoymQwJCQlISEhodGGgLl26eOcZLy0t9faUe3rFz1zZs6ysDAAaDeUA8Mgjj3jDdmlpKVJTU5GQkIB27dp5L0lJSWjXrh2ys7ORnZ3tx5+cfCn6xvGoW7IZ1d+sRNLzt0Km5jkAUlErBNzbPxwze+jw3jYD/rPTiK1FNkyfV45J6Ro8PyISnaPZPkT+wLBNIW9LoRX3L6lEab0LOqWAN8ZHY2qm72YcaQmXxQbD6u0AgIgWDCGRikKh8E49eL4Q3KtXL1itVpSWlqK4uBhFRUUoLi72fn/mwj7FxcVwOp3e+8/26KOPeo9TUlKC7t27NwjjSUlJ3kufPn28ixGRNCLGZ0PZLhb24krU/rAO0ddfLnVJbV6EWoZnh0fi9j56vLm5Dt/sr8eyIxasOmrBnX31eGRwBCLUHO5F5EsM2xSynC4R720z4I3NdXC4gMwYBT65MhYZMYHTe2NctwuueguUyXHQ9smQuhy/UalU3pUzL6R3797eYSvFxcUoKSnxfl9cXIwBA04vY19UVITq6mpUV1fjwIED5+zrsccewxtvvAHAHeIHDRrUIIwnJSUhMTERSUlJ6NWrF7Kysnz7QxMEpQKxd12Jkpc/d8+7fd1YjhEOEO30crw+Lhr39NPjb+tq8OsxKz7aYcR3B014algEbuihg5wnURL5BMM2haRjtQ7MWlaFbcU2AO4FHv55eTR0qsDqsTk9hGQwQwgAuVzuPcnyYnr06IH9+/ejuLjY22teUlLivZzZq11cXNzoEBaPxx9/HP/6178AwNvb7gninq+e73v27IkuXbr45gduA2JunYTS17+CeVceTFsPQTeom9Ql0RkyY5WYc3U8Vh8146/rapFX7cDTq2rwv931+OvoSAxP00hdIlHQY9imkCKKIr49YMKf19Sg3i5CrxLw8pgoXNstLODCrOh0om7Z7wCAiMlDJa4m+KjVanTv3r3BiZvn07VrV2zZssUbxD0BvbS0FCUlJejW7XQALC4uxtGjR3H06NFG9/XEE0/g9ddfBwAUFhZi5MiRSExMPOeSlJSEnj17tvkec0VcJKKuGYPqr1ag8pOfGLYD1NhOWoxsr8EXe4x4c3MdDlbYcd33FZiSocWLoyKRGsG4QNRcfPZQyCitd+K51dVYdsQCABicosLbE2KQFqDLFddv2g9HWTXkUXroRnBssT+FhYVd8omVXbt2xYYNG7xB3PPVczkzPF8smD/55JN47bXXAAAnTpzA8OHDkZiY6D351PN9YmIi+vTpg549e7b8hw1AcfdOQ/VXK1Dz43okvXgHVKkJF38QtTqlXMBd/cJxddcwvLm5Dl/sqceSPDNWF1jwUHY4HhgQDo0isDotiIJBYKYQoiZwuER8sacer22shcEmQikDnhoWifv66wN6zGHNgrUAgIgrh0GmCpxx5G2dTqdrMJvKhXTr1g0bNmzwhvKzL127dvVuW1paihMnTuDEiRON7uupp57CP//5TwDA8ePHMXDgQMTHx3uDuecSHx+P7Oxs7/h1z+qigfbJzZm0vdOhH9UHxnW7UfbWPKS+8ZDUJdEFxGjlePmyaNzSW48Xfq3BxpNW/GtTHeYfqMdfRkdhQmet1CUSBRWGbQpq24uteG51DfaV2wEAfROVeG1cNHrEqySu7MJEuwO1P20AAETNGC1xNdRcTQnm3bt3x++//46ysjKUlpae87VHjx7ebUtLS1FeXo7y8vJGT/58+umnvWH72LFjyMzMbBDGz/w6fPhw74wvTqcTZrMZer2+1cN5wpM3wrhuN6rnLEfCo9dDlRrfqsenpsuKVWLeNXH46bAZf/utFsdqnbjjp0pc3kmDv46OQqcoRgiiS8FnCgWl8nonXt9Uh6/21UMEEKkW8MzwSNzUMzjOoDeu3QVnVR0U8VHQj+gtdTnUCsLCwjBo0KBL2rZXr17Ys2cPysrKUFZWhvLycu/3ZWVl6Nu3r3fbsrIy2O127wJEZ3vmmWe8YfvYsWPIyMiAWq1uEMo9l/Hjx2Py5MkA3POi5+fnIz4+HlFRUS0O5/rhvaAb0Rv16/eg/O15SHn9/1q0P2odgiDgqqwwjOukwTtbDPhohwGrjlrw2/ES3D8gHA9nh0u+MBhRoGPYpqBSa3Hhwx3uBRlMdvfH53/oFoYXRkYiLix4Vh2sWbgOABB51QgIiuCpm1qHRqO55DnC+/Xrh2PHjjUI5p5wXl5ejsGDB3u3raioAABYrdZGZ2fRaDTesH38+HHv+HSFQoHY2NgGwXz69Om44YYbvPvbsGED4uLiEB8fj9jYWKhU5366lPjUjchfvwdVX/6C+D9ex97tIKJTyfDsiEhc1yMMf15TgzXHrHhniwHfHTThxVGRuCJDG9BDmYikxLBNQcFsd+GzXUa8v82AGqs7ZPdNVOJPI6MwJDW4lhp2We2o/XkjAA4hoZZTKpVo37492rdvf95tPOO6Bw0ahPr6+gZhvKysDBUVFSgvL8eYMWO8j6mrq0NERATq6urgcDi849A9MjJOzwt/8uRJXH55wwVrIiIivOH75ptvxkMPPQT9iN6QDemG79YuR+pdT6Lbn+9BbGws4uLiEB0dDbmc/3gGuvRoJeZMj8MvRyx4cW0NThqcuG9xFUakqfHyZVHoEkDrGBAFCoZtCmi1Fhfm7DXiPzuNKDO5ALgXp3lqWCQmpWuCsielbulmuAwmKJPjEMZp0KiVhYWFoUOHDujQocMFt+vbty9qa2thtVq9YfzMy8CBA73bWq1WdO/eHRUVFaioqIDL5UJdXR3q6uqQn5/fIIiLD0zBX5e+CSzfByz/3Hu7IAiIiYnBgw8+iL/97W8AAIPBgJdffhlxcXGIjY31BnPP9zExMQzoEhAEAZMytBjdQY33txnw3jYD1p+wYtycUtzVV49HB0cgnKtQEnkxbFNAOlHrwH92GfH1vnrUnxoukhYhx+NDIjCja1hQjMs+n+q5ywEA0TeMgyDjGxIFNrVajZSUFKSkpJx3m+7du2P//v0AAJfLhZqaGm9Ar6ioQHp6unfbsO4dMbZjd5SfKEStUkSdRoaamhqIoojKykq4XC7vtiUlJd6pExvzwAMP4P333wcA1NTU4JZbbjknkHtCeefOnS/6DwY1jVYpw+NDI3Ftdx3+srYGy/Mt+GiHET/kmPDCyChcncWhJUQAwzYFEFEUsbnQhi/2GLE41wynO2Oja6wC9/Z3z/2qkgf3C7ftZDkMq3cAAKJvHC9xNUS+J5PJEBMTg5iYGGRmZp5zf3p6On7ZsgE5Q+6Ds9qAxOdvRcysa1BVVYWKigpERUV5tw0LC8MjjzyCyspKVFRUoLKy0vt9bW0tYmNjvduWlZXh559/Pm9dZwbzqqoq9OnTp0EgP/MyYMAAjBo1CoD7n4fKykpER0dDoeBbZmM6RCrw32lxWHXUjD+vrUVBjQMPL6vCl3tUePmyqICfHYrI3/jKQZIrN7kwJ9eAbw6YUFDj8N4+sr0a9/cPx+gO6pDpHan+dhUgitCN6A11p3ZSl0MkCUV8FJJfvR8n7nsdZa9/hfBxA5HYJwOJiYkNtktJScFbb73V6D7sdjscjtOvF3Fxcfjkk09QWVmJ8vJyVFVVecN5ZWUlOnbs6N22oqKi0RNEPR588EFv2K6qqkJCgnsRnsjISG9PeUxMDGJjYzF+/HjccccdANxTKy5btsx7f0xMTJsK6Zd30mJEmgYf7TDg7S0GbCmyYdJXZbittw5PDI1ElIaf5FHbJIieM2dCRHV1tU+mqSL/MtldWJFvwQ85Jqw6avH2YuuUAqZnheHW3jr0TAit3hDR5ULOwLthKyhB2gePI/r6yy/+oAAkiiJqamr4PAsigdhmoiji2C0voW7JZijbJ6LL6rehiIlolWNbLBbs3bu3QRj3XKqqqjBp0iTceuutAIDc3NxGe+g9HnzwQbz33nsA3CE+Pv7cGVYiIiIQExODG264Aa+88goA99SKf/7znxuE8rO/t1qtAdVmTVFY58DffqvFz7lmAECMVoZHB0fg5l66oP+E8nwC8XlGFyaKYqu0Vdv4d5sCgtnuwqoCCxYdNmPlUQssjtP/5w1sp8KNPXW4sosWOlVo9n7Ub9gLW0EJZHotIqcOl7ocIkkJgoC09x5D7tg/wna0GMfvfR2dvv0LhFY44VGj0SA7O/uStu3SpQvsdjuqq6u9veVnfu3d+/Q8+VarFQMGDEBVVRWqqqpQW1sLAN6TRevq6rzb1tTU4B//+Md5j3vDDTd4Q7zD4cCYMWMQHR3tDeKe76Ojo5GVldVgDnebzdbo1IutKSVCgY+uiMVvxy3405oa5FY58Kc1Nfh0lxHPDY/AFE4VSG0Iwzb5Vb3NhbXHrVica8LyfIt3bmwA6Bgpx9RMLcYlOzGgY0zIv/BWfLIIABD1h8sgC9NIXA2R9OSRenT44gXkTXgMxtXbUfT0h0h+/cGAey1QKBTe+cUvJCUlBdu2bfNedzgcqKmp8YbvmJgY730ymQyzZs1CVVWVN8h7LtXV1YiOjvZuW11djQ0bNpz3uDfeeCPmzp0LwD28Rq1WQ6vVNgjknsvw4cNx7733eh+7ePFiRERENNhGq/VdEB7ZXoMVNyXiq331ePP3OhTUOHDv4ir0T1LhTyMjMSgluKZuJWoODiMhnysyOLAi34IV+WZsOGmFzXn6vrQIOaZ20WJaVhh6xrvnY20LH7tZC4qRM+BuQBSRuelDaLLOPydyoONHpcEn0Nus5offcPyuVwFRRPysa5H04h0BWWdrEUURdrsd9fX1iIqKgsViwZIlS1BdXe0N5md+P2HCBDz55JMAgPLycu8Y88acHcwb6wFXKpWIjo7GVVddhY8//th7+6xZs6DT6RAVFYXo6GhERUV5v09KSkJaWtoFfy6jzYUPthvw0XYjzKc+2bysgxqPD41Ev6TgHzYY6M8zOheHkVDQcLhE7CqxYc0xC1bkW7Cv3N7g/o6RckxI12JqFy36Jaka/GGH2P9651X5ySJAFBF++YCgDtpE/hA1fSScdfUofOQdlL/zHSCXIemF29psYBEEAUrl6cVhtFotrrnmmkt6bFxc3DmBvLq6GjU1NaiurkbXrl2925rNZmRnZze43+l0wm63o6ysDPX19d5t7XY7Zs+efd7jTpkyBYsXL/Zez8zMhFKp9AbyMy+PpXdDQfsr8M3+evx6zIrlG3/F8E5R+OOoZAztkgC1mr3dFFoYtqnJRFHEkWoHfjtuxW/HLdh40gqD7XRoFgAMTFZhfCcNxnfWokuMos2+aQKAs86Eqi9/AQDE3XeVxNUQBabYWyfBZTSj+IVPUP7WPDiKK5Hy71mQqbgiYVMIguANtRcTERGBLVu2eK+Logij0egN3mFhYd77nE4n/vKXv3jvO/NrTU0NkpOTvdva7Xbk5uae97iTJ0/GkiU348GB4Xh7Sx3efnoGfrCZ8MOp+1VqNaKjohAZGYmRI0fiP//5j/exL7/8svdnjIyMbHCJi4u74HzwRFJh2KZLUlrvxIYT7nD923Erio3OBvdHqQUMb6/BuE4aXN5Rg9gwrurmUTV3OVxGM9Rd0qAf21/qcogCVvyDV0MeHoaTj81G9TerYDtZjvafPAVlYszFH0wtJggCwsPDER4efs6QEI1GgxdffPGS9iOTybB9+3ZvED/zUltb6+1d7xilwL8uj8S8hDhUVFXDZjIAAGxWK0pLS1FaWtpgQSQA+Oc//wmj0djocYcOHYqNGzd6rw8aNAgmk+mcUB4ZGYmMjAzcc8893m23bdsGhULhvT8iIqLNTNlI/se/JDqHKIo4VuvE74VW96XI1mD+awBQy4HsZDVGtldjZHsNesYrg3pVR39xWWwon/0dACDugelcMZLoImJumQhFUgyO3/kP1K/fg9zLZqH9f56GflgvqUujSySXy9G//6V1LMjlchSeOAYAyCm34O3fivHTnlLY6uvgMteiMjESCw6ZcGUXLZQy4L777msQ3M+8nD1P+8GDB88bzIcMGdIgbF999dXnzLseFhaGyMhIDBgwAIsWLfLe/qc//QlGo9Ebyj1fw8PDodFoMHr0aO+2rTUmmAIbT5AkuEQRhyrs2FJk8wbs0npXg20EAD3ilRh1KlxnJ6ugVbY8OIb6CSUVH/+Eomc+hDIlHlnb/xMSH4mHepuFomBsM0vOcRy7/RVYc467x3A/ewvi/3htq0wNGAiCsc18pcjgwCc7jZizt947g1VCmAy39tbj5l46xOsu7W9g27ZtqK2tPSeY19XVIS0tDY8++qh324EDB+LkyZOoq6uD2WxusJ8hQ4Zg06ZN3utpaWnnXRApMzMThw4d8rZZ7969cfz4cURERJxz6dixI1577TXvYxctWgSz2ewN7mduGx4ezp52P2itf4YYttugCpMTu0pt2F1iw65SO3YUW1FjbfhnoJQBfZNUGJysxqAUFQa2UyPSD6t/hfIbistkwaGBd8NRUoWUNx9C7O1TpC7JJ0K5zUJVsLaZq96Ck4/PRs28XwEAYUN6oP0Hj0PVIUniyvwvWNvMl6otLny+24gv9hi9HUAqOXBllzDc2VePvolKv/xubDYb6urqvOFcoVA0mE/9zTffRFlZmTe4n/m1ffv2+Omnn7x1tW/fHidOnGj0ON26dcOBAwe813v16oV9+/Y1um27du1QVFTkvX733XfjyJEjDcK4J6DHxcXhvvvu82576NAhuFwu7/16vR7yNvJP68UwbDcTw3ZD9TYX9pTZsavEhl2lNuwqseGkwXnOdmFKAQPbqTA4RY3BKWr0TVJBq/D/7zCU31BKX/8Kpf+YA2X7RGT9/jFk6uDv1QZCu81CVTC3mSiKqP5mFYqe/gAuoxkyvRbJr96P6BvGBd3P0hTB3Ga+ZnOKWJJrxqe7jNhRYvPe3i1OiRt6hOHqrmGI0UofHhtrs7KyMtTU1DRY2Mhz0el0uOOOO7yPv+uuu5CXlweDwdBgO6vViqysLBw6dMi7be/evbF3795G60hKSkJxcbH3+ogRI86Zp12n0yE8PByJiYnYtWuX9/bXX38deXl5DcL7md9PnjzZu21dXR0UCoVP52VvbQzbzdSWw7bNKeJgxelgvbvUhsOVDpzdwAKAjBgF+iSq0C9Jhb6JKvRMUEIhwZjrUH1DsZdWIWfg3XDVW9D+k6cRdc3oiz8oSIRqm4WyUGgz27ESHH/gDZg27wcARFw5DKlvPQxFbKTElflHKLSZP+wqseGz3UYsPmyC5VS/kUoOTErX4oaeOoxIU0Mm0e/LX21ms9lgNpsRGXn6b/3XX39FaWkpamtrYTAYvBdPiH/77be9206ePBlbtmyBwWCA3d5wat7ExESUlJR4r48aNQq//fZbo3VotVqYTCbv9SuvvBKLFy+GTCZDeHg49Hq9N5jr9XqsXLkSslPnKX311VfIy8uDXq/3bnfm1379+nl721tznDvDdjO1lbDtEkXkVzu8vdW7Su3YX25rsICMR3K4HH0TVeibqETfJBV6J6gQrg6ME/VC9Q3l+H2vo2b+r9D2z0TGirdC6mcL1TYLZaHSZqLTifLZ36P0H3Mg2h1QJEYjbfajCB83UOrSfC5U2sxfaiwu/JBjwtf76hus7ZAWIcf13XW4rkcYUsJbd4xzMLSZ1WpFXV2dN5zb7XYMHHj6+TN37lwcOXKkQYD3XBQKBVasWOHddsyYMVi7dm2jx1Gr1bBYLN7rU6dOxc8//3zBujwLLN1yyy1YsGBBgzB+5uXzzz+HTqcDACxbtgyHDx8+ZxudTge9Xo/09PQLjnVn2G6mUA3bVWYndpTYsKPYhp0l7oBdZzu36aLUAvomqdAnUYW+p3qtEy7xZBIpBMOLU1PVrdiKgutfBGQyZPzyBsIGZEldkk+FYpuFulBrM/OeIzh+72uwHnaPhY25ZSLavXQ35BE6iSvznVBrM3/aW2bD1/vqsfCQyfu+KAAYnqbGjK5hmJKhbZUOprbWZi6XCyaTqdFgbrVace2113q3/fDDD7Fr1y4YDAYYjcYGX61WK/Lz873bXnXVVfjpp5/Oe1yLxeJd+OiWW27BnDlzzrttWVkZ4uPjAQCPPvoo5syZc04wP/MfCH9h2A5AdqeI/eV27ChxB+sdxVYU1J7bZa1RCOiVoHQPB0lUoU+SCh0j5UH1s4fai5PTaMbh4Q/AfqIMcfdPR/Ir90pdks+FWpu1BaHYZi6zFcV//S8qP3a/KSvbxSLl37MQMT5b4sp8IxTbzN/MDhFL88z4al89Np20em/XyIEJ6VrM6BqGMR00UMr98/tkm/mGZ9VTo9HY4OIJ6A8++KD39/v+++/jt99+895fX1/f4DGFhYXexZluu+02fPHFF+ccrzViMMN2ADDbXdhRYsOWQhs2F1qxvdgGs+PcZsmIVqBfkgr926nQP0mFrFil3140WkuovTgVPvEeKj9bDGVaAjI3fAC5Xit1ST4Xam3WFoRymxk37sXJWW/Dlu+eqSF65uVo9/d7oYgOl7iylgnlNmsNJ2odWJhjwvcHTcirPr1ORIxWhmmZ7uDdP0nl098t2yywlZWVoaKiokEYr6urw8033+z3YzNsS6DG4sLWIiu2nFowZk+pDfaG01ojSi2gfzs1+p8K130SVYjyw9R7UgulF6fq737FiXtfBwB0+u5lhIfoapGh1GZtRai3mctkQckrX6Ligx8AUYQiMRrt/nY3oq4dE7Q/b6i3WWsRRRF7y+z4/pAJP+aYUG46/WbbMVKOGV3ds5l0jm75bFFss+DDMdvNFIhhu7T+jNUYC204VGE/Z4aQJL0cg5NPT72XGauQ7Izq1hQqL06WQ8eRO+6PEE1WJDx+PZKev03qkvwmVNqsLWkrbVa/5SBOPvxvWHPdY7nDBndH8qv3I6xPhsSVNV1babPW5HCJWH/ciu8PmbA0z9zgE+R+iUpMzQrD1C5aJDfzxEq2WfBh2G4mqcO2SxSRV+Vw91wX2bCtqPHx1p2iFBiSosKgU+G6fURwjbX2lVB4cbKXVePIlCdhyy+CfnRfdPrupZBe5S4U2qytaUtt5rLYUPHBQpS+8Q1EkxUQBMTcOglJz98KRVzwTBPYltpMCvU2F37Jt2DBwXqsPW6F64wkNChZhWmZYbiii7ZJEwywzYIPw3YztXbYtjhE7Cm1nQ7XxTbUWM5d6rx7vBKDU9QYdKr3OpBnCGlNwf7i5Kwz4ci0p2HZcwTKtAR0WflvKOKjpC7Lr4K9zdqitthmtsIKlPz1M9R8twYAINNrEffA1Yj/vxmQR4RJW9wlaIttJpXyeicW55nxY44JW4pOL5ojE4ChqWpMy9RiSob2ogvnsM2CD8N2M/kzbFscIg5V2LG71Ia9ZTbsKbMjp9IOx1njrTUKAf2SVMhOVmFQsnvctT+WOg8Fwfzi5DSaUXDDX1C/YS/kcZHIWPovqNNTpC7L74K5zdqqttxm9Zv3o+i5j2DelQcAkMdEIOGR6xB71xWQadUSV3d+bbnNpFRkcODnXDN+yjFhZ+np+bvlAjCqvRpTM8MwvrOm0eDNNgs+DNvN5IuwXWNxIa/KjrxqB3Kr7MitciCvyo7jtc5zxloDQHyYDNnJamQnq5CdrEbP+OCfJaS1BOuLk6OqDgXXvwjT9hzI9Fp0XvTPoBwX2hzB2mZtWVtvM1EUUfvTBpS+8gWsuScBuKcKTHjyRsTcNB6CsnUXP7kUbb3NAsGxWgcWHTbhp8Nm7D9j4RyZAAxOUWNKhhYT0zXexXPYZsGHYbuZPGFbBGB1AjaHCLtLhNUpwuIQUWtxodYqosbiQo3FhSqzE8XG05cigxOGRhaL8YjWyNAnUYleCe4ZQnonKJEc3jbHW/tCML44mQ8cxbGbXoLtWAnk0eHoNO9vIbdwzYUEY5u1dWwzN9HhRPW3q1D6z7mwnywHAKi7pKLdX+9C+MRBAfW7YZsFliPVdvx02IyleQ2DNwD0SVRiUroWk9I1iJfVs82CCMN2M1VXV2N9uRp//KUK1kaWLr9USXo5usQo0CVGiYxoBbrEKJARo0R8mIxPIh8KtjeUmh9+w8mH34Kr3gJVhyR0/OpFaLp1kLqsVhVsbUZss7O5rHZU/W8JSv/1NZyVdQAA3cjeaPe3uwPmEyq2WeA6XuvA0iNmLMszY2uRrcEn3p0iBVzRRYcJ6Vr0TVRBLmPbBTKG7Waqrq7GL4VKPLmqpsHZxSo5oJILiFLLEKmRIcpzUcvQLlyOZL0c7fRyJIe7v+pUHGPdGoLlDcVpNKPomQ9R/ZV7WVf9qD5o/9mzUMRESFxZ6wuWNqPT2GaNc9bVo+zf81DxwQ8QrXZAEBB9/VgkPn8bVClxktbGNgsO5fVOLM9393ivP2FtsGZGtEaG0R3UGNNBgzEdNIjnxAgBh2G7mTzDSEx2ESLcAVspA1+sAlSgv6GIooi6Zb+j6NmPYD9eCggCEh69DolP3xSQ4zxbQ6C3GZ2LbXZhthOlKHnp89Mzl+g0SHh8JuIeuBoydcsXO2kOtlnwqbU48fP+KqwrkWHdMQvqzhqS2jNeics6anBZRw36J6l4blcAYNhuJqnn2aamCeQ3FGt+EYqe+wiG5VsBAMrUeKR98AT0w3tJXJm0ArnNqHFss0tj2p6Douc/hmnLQQCAKj0Zya/ch4jx2a1eC9ss+JzZZk4R2FFsw6/HLFhTYMGesobjvPUqAYOS1RiSosKQVDV6JzB8S4Fhu5kYtoNLIL6h2AorUPavr1E15xfA6YKgVCDuoRlIfGwmZDqN1OVJLhDbjC6MbXbpRFFEzbzVKH7xMzjKqgEA4ZMGI/nv90LdqV3r1sE2CyoXarPyeifWHncH7zXHrKg+az2OMKWAge3cwTu7nQq9E1XQczir3zFsNxPDdnAJpDcUa0ExKt5fiKovf3GP3wQQPm4g2r18DzSZaZLWFkgCqc3o0rDNms5ZZ0Lp61+h4qMfAYcTglqJ+IevRcIjf4AszP//dLPNgs+ltpnTJeJghR2bTlqxudCKzYWNL4bXJUaBPokq9E1yz37WPU4JtYJ/C77EsN1MDNvBReo3FFEUYdpyEBUf/YjanzYALvcLnm5YTyS9cBt0Q3q0ek2BTuo2o6ZjmzWf5dBxFD37IYxrdwFwDydLfvkeREwd7tffJdss+DS3zVyiiJxKBzaftGJToRU7S2woMpw7nZpSBqRHK5AVq0RWnBJdY5XIjFUiLUIOBWc9aRaG7WZi2A4uUr2hOA0m1Hz3Kyo/WwLL/qPe28MvH4D4h6+BbmQf/g2dB0NA8GGbtYwoiqhbtAFFL3zinZ9bP7ovkv9xPzRd2/vtmGyz4OLLNiuvd2JXqQ27S23YXWrHrlIbqsyuRreVC0BqhBwdIhVoH6lAx0gF2kfKkRahQIJOjlitjOPBz4Nhu5kYtoNLa76hiKII847DqPpqBWrm/wqX0QwAEDQqRM0YjbgHp0PbvZNfawgFDAHBh23mGy6TBWX/no/y2d+5h5op5Ii5eQLiZ10LdUffjudmmwUff7aZKIooNDiRU2lHTqUDhyrtyKmwI6/KDstF1hQRAMRoZUjQyREfJkO8To4otQzhagHhKhn0KvfXcJUAvUoGtUKAWi5AJccZ35++LZT+Hhm2m4lhO7i0xhuKvbQK1d+uRvXXK2HNOe69XZWRgtg7rkD0DZdDERXul2OHIoaA4MM28y1rQTGKn/8EdUs3u2+QyRA1YxRi756KsOyuPvkds82CjxRt5hJFlNa7cKzGgWO17svxWgcKap0oMjhQYXLB6eOUp5IDCpkAlQxQygX3RQYoZWd8Lz99v0LmDume+9VyIEzpDvl6lQw6pXD6e5UAvVKGaK0MMRr3Nv4ersWw3QwM28HFXy9OLpsdhmW/o+qrFTCs2g443R+/CRoVIq8chuibJkA/ikNFmoMhIPiwzfzDuHEvyt+a536NOUWVnozomeMQMXkwNN06Nvv3zTYLPoHYZi5RRLXZhdJ6J8pNLpSd+lprdcFoc6HOKsJoc8FgO/3V5hRhdZz66hRha8Fq3C2llLkXB4rRyhCtlSPmVAj3hPG4MDniwmSID3P32kdrZZA14Xff5sP2nj17MHv27P9v797DoirzOIB/BxhAnFFA8ZqoiTOCqICKoiaC2g2SELVWJSsszSzF7Clb293cNmufx0ti7Vp5pbyl4N0selYUVFAMFdT1htwUL4DICDK3s3/gzDLOoChnYJDv53l4wPd95z2/c34O/ObMe84gMzMTGo0GXl5emDJlCl566aUHPo7FdtMi5i8nvVqDOwdO4NaOFNzefRi60nJjn8tAb7j9aRRcxw6HfauW9Q27WbPFPyj0YMyZdVWcuIDiFdtxa0cKhIoqY7tDxzaQj/CHy8BeaOGvgLPXU3W+fShz1vQ8qTkThOqCu+peEa7RC9DoAY3u/9/Vhp/1QnW7DlDrBWhr9Gv11W1VWgF31AJUGj1UagF31HqoNNVtdzTVBX9ppR6V2kcvT+0lQJsW1UW4h4sd2hqWztQoyg3f3VvYwV7SMMtibLLYTktLQ0xMDKRSKcLCwiCXy/Hrr7+ioKAAsbGxmD59eq2PZbHdtNTnl5MgCFDnXIXq4EncSTmB8qQM6MpUxn6Hjm3g9koo3F4dxVv3iehJ/YPyJGPOGoauvAJlO1NRlngAqkNZECqrzMY4tHeDY7eOcOzaHtKObSHt4A6HDm0g7eAOacc2cGjvDjsnKXPWBDFn4qrUCiit1KGkUo+Su3qUVuqrf67UoeSuHsUVetys1ONmRfXZ+vtvn/gwhrXsJ6d1ss4O1NyWrRXbWq0WL7zwAoqKirBp0yb4+PgAAFQqFV599VXk5ORg9+7d6Natm8XHs9huWu7/5SQIAqDVQVBroddoIKi1EO6qob1eCs21EmiKSqC+XIS7WZdQmZ0D3c0yk/kc2rmhdfgQtB4zFC2H9IHEwb6R9uzJxT8oTQ9z1vD0d9W4czgLqpSTqDx+DpUnL5q82/Yg9u6tIO3gDrRphRZd2kPasWZB3haOXdrBvm1rm8ilIAgQKqqgLS6r/rpZBl3JbejvauDYuS1kI/vbRJwNgc+zxqXWCSg2FN93dPcKcT1uVOjMvpdU6qG/V/0Wzn7K6rE5WH0Lj+jIkSPIy8vD2LFjjYU2AMhkMsyYMQOxsbFISEjAnDlzGjFKEpMgCLg8aQFU/zkOQa0FHuH1n0TqAJcBSrQc2heyEX5oOcgHEnsW2ETUuOycHSEPCYA8JMDYpr1VDnXOVagvXYU6/xo0RSXQFpVAU1R87+diCGotdCW3oSu5DQC4W8v8khZOcHyqHRw920HapR0cu7SD1LM9HDu1hb1bK9i7yWDvKoedk7TOMQt6PfTlFdDdUkF7SwV9mar655Lb1UV08e17RXX1d8O/hbvqWudUpP4Lzt5d6xwD0eNytJego8weHWUPrwF0egElldVr2BuCzRXb6enpAIBhw4aZ9Q0dOtRkTG1s7GQ9PYAgCIAgoOpCofFTG+8ncZLCoa0rHDq4Q9reHdLObeHs2x3OvZ+Gcy9P2LVwMp+TrMZwfHmcmw7mzDbYt5ahhV9PtPDrabFfEITq4raoGOqrxSi/VACH23ehvVeIa4pKoCm8Ce21EgiVVag6n4+q8/kP3KbExQl2jlJIpA6QSB0AqT0kDg6AXl/9zqFWC0Gjg6DWQH/n7iOd7DDZjpMUDm1aw75NKzi4t6p+MdC1A6RPd2w2/+/4PGs67CRAWxc7tGnRMO9A2FyxffnyZQBA167mr4Rbt24NNzc35ObmPnCOsrKyB/aTbZHY2aHdzn9Ad6MUEkcpcO+PgsTRAXCwr/XtODUAdVUlUFXZsAETAD7PmiLmrAmQAOjoCnR0RcuAHgAAp/uGCFUaaK8WQ1d4E9orN6EruAlt4U3oCm9Ad60U+tt3oC+7A+irl3joKszXjj8wBGdH2LVuCUmrlrBr3RL2bnLYuclg5y6HvXsr2LnJYecuN/m3xMXJ4u/q2xV3gIrHOxRNFZ9nTYubm5vVt2FzxbZKVX2Bm1xu+b7HMpkMRUVFD5yjdWvbWMtGDycIAsrKyuDq0QaSdm0bOxyqA0PO+DxrOpizpuehOWvvAfg94PE1loToqzT3roXRVJ/F1moBeztIpFJI7p3plkjtYSdr8chLT+j/+DxrehrqXQibK7bFIJFY9yboJD7mrOlhzpoe5qzpedycSeztYecq5wd2NQI+z+h+do0dwP1kMhkAoLzc8lXbKpWq1rPeRERERES2xOaKbcMt/Sytyy4rK0NpaanF9dxERERERLbG5ortgQMHAgBSUlLM+lJTUwEAgYGBDRoTEREREdHjsLliOygoCF26dMGuXbtw5swZY7tKpcK3334LBwcHREZGNmKERERERER1Y3MXSDo4OODzzz/H1KlTMXHiRISHh0Mmkxk/rn327Nno3r17Y4dJRERERPRQNldsA8DgwYOxfv16LFu2DHv37oVGo4GXlxdmzZqFMWPGNHZ4RERERER1YpPFNgD07dsXP/zwQ2OHQURERET02GxuzTYRERER0ZOCxTYRERERkZWw2CYiIiIishIW20REREREVsJim4iIiIjISlhsExERERFZCYttIiIiIiIrYbFNRERERGQlLLaJiIiIiKyExTYRERERkZVIBEEQGjsIIiIiIqInEc9sExERERFZCYttIiIiIiIrYbFNRERERGQlLLaJiIiIiKyExTYRERERkZU4NHYAD3Py5EnExcUhMzMTGo0GXl5emDJlCl566aU6z6HX67F+/Xps2rQJubm5cHFxwaBBgxAbG4tu3bpZL/hmqr45O3bsGJKSkpCeno7CwkJUVFSgc+fOGDlyJKZNm4ZWrVpZeQ+aHzGeZzVpNBqMGzcOZ8+eRffu3fHLL7+IHDGJlTOVSoVVq1bh119/RX5+PqRSKbp06YKRI0di5syZVoq+eRIjZ7dv38bq1auRlJSEgoICODo64qmnnkJkZCTGjx8PJycnK+5B87J9+3ZkZGQgKysL586dg0ajwcKFCzF27NhHmoc1SMMRI2fWqEFs+tZ/aWlpiImJgVQqRVhYGORyOX799VcUFBQgNjYW06dPr9M8n376KTZv3gwvLy8EBwejuLgYe/bsgZOTEzZu3AgvLy8r70nzIUbOhg4ditLSUvTv3x/e3t6QSCRIT0/H6dOn4enpiY0bN6JNmzYNsDfNg1jPs5q+/vprrFmzBhUVFSy2rUCsnF25cgVTpkxBfn4+hgwZAm9vb6jVauTl5eHKlSvYuXOnlfek+RAjZ7dv38bYsWORn5+P/v37o1+/flCr1Thw4ADy8vIwePBgrF69GnZ2fNNaDKGhoSgsLISbmxtcXFxQWFj4WMU2a5CGI0bOrFKDCDZKo9EIo0aNEnx9fYXs7Gxje3l5uRAWFib4+PgIOTk5D53n8OHDgkKhECZOnChUVVUZ2w8dOiQolUph0qRJ1gi/WRIrZytWrBCuXbtm0qbX64W//vWvgkKhEP72t7+JHXqzJVbOasrKyhJ8fHyEdevWCQqFQnjuuedEjrp5EytnWq1WiIqKEvr27SscPnzY4nZIHGLl7LvvvhMUCoXwxRdfmLRXVVUJUVFRgkKhENLT08UOv9lKTU0VCgoKBEGo/rukUCiErVu3PtIcrEEalhg5s0YNYrMvf48cOYK8vDyEh4fDx8fH2C6TyTBjxgxotVokJCQ8dJ6ff/4ZADB79mw4Ojoa24OCgjBs2DAcPXoUOTk54u9AMyRWzt5++220a9fOpE0ikWDGjBkAgKNHj4obeDMmVs4M1Go1Pv74Y/Tr1w+TJ0+2RsjNnlg527dvH06dOoU333wTgwcPNut3cLD5VYZNhlg5y8/PBwAEBwebtDs6OmLo0KEAgOLiYhEjb96GDBmCzp0712sO1iANS4ycWaMGsdliOz09HQAwbNgwsz7DLxXDmAdJS0uDi4sLAgICzPoMc7N4E4dYOauN4Y+/vb39Y89BpsTO2fLly5Gbm4t//OMfkEgk4gRJJsTK2Z49ewAAzz//PK5evYoNGzbgu+++w969e3Hnzh0RIyaxctazZ08AwMGDB03aNRoNDh06BGdnZ/j7+9c3XBIRa5AnR31qEJs9dXH58mUAQNeuXc36WrduDTc3N+Tm5j5wjoqKCty4cQMKhcLiwTFcmGDYFtWPGDl7kK1btwL4/x8nqj8xc3by5En88MMPiI2NRffu3cUMk2oQK2dZWVkAgIyMDCxcuBBqtdrY5+7ujqVLl2LQoEHiBN3MiZWz8ePHY/v27Vi1ahWysrLg6+sLjUaDgwcPoqysDIsWLUL79u3FDp8eE2uQJ0t9ahCbPbOtUqkAAHK53GK/TCZDeXn5A+cw9MtkslrnqLktqh8xclabM2fO4JtvvkGbNm0wderUx46RTImVM7VajXnz5sHb2xtvvvmmqDGSKbFyZlhu8Pnnn2PKlClITk7G4cOHMX/+fJSXl+Pdd9/F9evXxQu8GRMrZ87OzoiPj8eYMWOQnp6OVatWIT4+3rhExdLZU2o8rEGeHPWtQWy22CYyyM/Px7Rp06DT6bB48WK4u7s3dkh0n6VLlyI3NxdffPEFl/k0EcK9G1GNGDECc+fORYcOHeDu7o7o6Gi8/vrrKC8vx5YtWxo5SqqppKQEb7zxBk6cOIHvvvsOx44dQ2pqKj777DMkJCRgwoQJKCsra+wwiZ4oYtQgNltsG17x1fZqX6VS1XqWwMDQX9urRkN7ba866dGIkbP7FRYWYsqUKSgpKcGyZcssXshFj0+MnGVnZ2PNmjWYPn06lEql6DGSKbGeZ4Z5QkNDzfpCQkIA/H+pCdWPWDn78ssv8ccff2DZsmUIDg6GXC5H27ZtMWHCBHz44YfIz8/H2rVrRY2dHh9rkKZPrBrEZottw1omS+vYysrKUFpaanH9W00uLi7w8PBAQUEBdDqdWb9hnRRvKi8OMXJWU0FBAaKjo3H9+nUsXbrUWACQeMTI2X//+1/odDrExcVBqVSafAFATk4OlEolBgwYIHr8zZFYzzPDunpLH9BgaKuqqqpHpGQgVs6Sk5Ph6uqKXr16mfUZioDs7Oz6BUuiYQ3StIlZg9hssT1w4EAAQEpKillfamoqACAwMPCh8wQGBqKiogLHjx836zPMbdgW1Y9YOQOq/5O/9tpruH79OpYsWYJRo0aJFygZiZGzbt26Ydy4cRa/gOqzO+PGjcPLL78sbvDNlFjPM0NxduHCBbM+Q1t9b6FF1cTKmVqthkqlMrmY1aCkpAQATG4vR42PNUjTJHoN8sh35m4gGo1GGDlypODr6yucPn3a2F7zQwAuXbpkbC8uLhYuXLggFBcXm8zDG8o3HLFylp+fL4SEhAg+Pj7Cvn37Giz+5kisnNWGH2ojPrFylpeXJ/j6+gpBQUFCUVGRyTwRERGCQqEQDh06ZP0dagbEytmbb74pKBQKYcmSJSbtVVVVxr74+Hir7ktz9bAPSGENYnseN2fWqEFs+uPajxw5gqlTp0IqlSI8PBwymcz48bazZ8/GO++8YxwbFxeH5cuXY+bMmXjvvfdM5pk/fz5+/vlnflRqAxAjZ4aPW/Xz87N4X1oAZjmmxyfW88wSpVLJj2u3ArFyFh8fj88//xyurq4YPXo0HB0dsX//fhQWFuKVV17BggULGnrXnlhi5OzMmTOYNGkS7ty5g759+yIgIABVVVVISUlBfn4+evfujQ0bNsDJyakxdvGJ8/PPPyMjIwMAcO7cOWRnZyMgIMC45GfUqFHGM56sQWyDGDmzRg1is/fZBqrf5ly/fj2WLVuGvXv3QqPRwMvLC7NmzcKYMWPqPM+CBQugVCqxadMmxMfHw8XFBSEhIbwfsBWIkbPCwkIAQGZmJjIzMy2OYbEtHrGeZ9RwxMpZdHQ0OnfujJUrV2L37t3Q6XTw8vLC9OnTMWHCBCvuQfMjRs68vb2RkJCAFStW4MiRI/jpp59gb28PT09PvPfee4iJiWGhLaKMjAwkJiaatB0/fty4JKRz5851Wl7AGqThiJEza9QgNn1mm4iIiIioKbPZCySJiIiIiJo6FttERERERFbCYpuIiIiIyEpYbBMRERERWQmLbSIiIiIiK2GxTURERERkJSy2iYiIiIishMU2EREREZGVsNgmIiIiIrISFttERDYqNDQUoaGhjR2G1SQkJECpVCIhIaHecz3px4qImi4W20REdRQdHQ2lUtnYYdiUgoICKJVKfPzxx40dChGRTXJo7ACIiMiyNWvWNHYIRERUTyy2iYhslKenZ2OHQERE9cRlJERk09LS0qBUKhEXF4ejR49i8uTJ8Pf3R2BgID744AMUFRVZfNz58+cxe/ZsBAUFwdfXF6Ghofjiiy9w69Yts7GXL1/GvHnzEBoaij59+mDQoEGIjIzEl19+aRyjVCqRnp5u/Nnwdf/yibNnzyI2NhbDhg2Dr68vQkJC8Pe//x2lpaUm42ouv7h48SJmzpyJQYMGQalUoqCgAEDt65ArKysRFxeH559/Hn369EFgYCDefvttHD9+3GxsXFwclEol0tLSkJiYiLFjx6Jfv36Ijo5+8IEHsG/fPkyePBlBQUHo06cPgoODERMTg6SkJADVa65HjhwJAEhMTDQ5LmlpacZ5bt26hb/85S8YMmQI+vXrh6ioKPz2228P3b4lSUlJiIqKQt++fTFkyBDMnz8fZWVltY5Xq9VYvXo1IiMj4efnB39/f0ycOBG///67ybh58+ZBqVTi2LFjFuf517/+BaVSiW3btj1W3ETUfPHMNhE1CZmZmVixYgVGjBiB6OhoZGdnY9euXcjIyMCWLVvQtm1b49jjx48jJiYGarUazz33HDp37ozMzEysXbsWycnJ2LhxI9zc3AAA165dw/jx41FZWYng4GC8+OKLqKioQG5uLn788UdjMT1z5kwkJiaisLAQM2fONG7L29vb+PPvv/+O2bNnw97eHqGhoejQoQMuXryIH3/8ESkpKdi8eTNat25tsl+5ubl45ZVX4OXlhcjISJSVlUEqldZ6HNRqNV5//XVkZmaid+/emDJlCoqLi7F3716kpqZiyZIlePbZZ80et3LlSqSlpSE0NBRDhgyBvb39A4/3+vXr8dlnn8HDwwOjR4+Gq6srbty4gZMnTyIpKQmjRo2Ct7c3XnvtNaxbtw69evXCqFGjjI/v3LkzgOoXBtHR0Th37hz8/f0xcOBAXL16FbGxsRg6dOgDY7jftm3b8NFHH0EmkyEiIgJyuRz79+/HG2+8AbVaDUdHR7NjFRMTg/T0dPj4+GDcuHHQaDRITk7GjBkz8Omnn2Ly5MkAgIiICCQkJGDHjh0YMGCA2bZ37twJFxcXjB49+pFiJiKCQERkw44cOSIoFApBoVAImzdvNumLi4sTFAqFMG/ePGObTqcTnn32WUGhUAgHDhwwGb9o0SJBoVAIn3zyibFt3bp1gkKhENauXWu27eLiYpN/T548WVAoFBbjLCkpEQICAoThw4cLhYWFJn07d+4UFAqFsGDBAmNbfn6+cb+WLl1qcc6QkBAhJCTEpG358uWCQqEQPvjgA0Gv1xvbz5w5I/j6+goDBw4UysvLje3Lli0TFAqF4OfnJ5w9e9bidiyJjIwUevfubXYMDPt6/3589NFHFucxbH/+/Pkm7QcPHjTu/9atWx8aT3l5uRAQECD4+fkJly5dMrar1Wph0qRJgkKhMDtWixcvFhQKhRAXF2dyrMrLy4WxY8cKvXv3FoqKigRBEAS9Xi8EBwcLAwcOFKqqqkzmOXXqlKBQKIS5c+c+NE4iovtxGQkRNQndu3fHuHHjTNqmTp0Kd3d37N69G2q1GkD1We3Lly9j+PDheOaZZ0zGT58+Ha6urti1a5dxvIGzs7PZNt3d3esc3/bt26FSqTBnzhx06tTJpC88PBy9e/fG7t27zR7n4eGBd955p87bSUxMhFQqxdy5cyGRSIztvXr1Mp4Zv3+JBABMmDDhke+kIpVK4eBg/gao4V2Buti2bRukUinef/99k/Zhw4YhKCiozvMkJSVBpVIhKioK3bt3N4lx9uzZZuP1ej02bNiArl274t133zU5VjKZDO+++y40Go1xOYtEIkF4eDjKysqQnJxsMteOHTsAAGPGjKlzvEREBlxGQkRNQkBAgEnBBFQXyL1798bBgwdx+fJlKBQKnD59GgAQGBhoNoeLiwt8fX2RkpJiHD9ixAgsWrQICxYsQGpqKp555hn079/fpKCri8zMTADAiRMnkJeXZ9ZfVVWF0tJSlJSUmBTxSqXSbPlDbVQqFfLz89GjRw906NDBrH/QoEHYtGkTzp49i4iICJO+vn37PsLeAM8//zwWLVqE8PBwhIWFITAwEP3790erVq3qPIdKpUJBQQG8vLzg4eFh1j9gwAAcPny4TnOdPXsWANC/f3+zPn9/f7MXBTk5OSgrK0O7du2wfPlys8eUlJQAAC5dumRsi4iIwPfff48dO3YYl4vodDrs3r0bHh4eGDJkSJ1iJSKqicU2ETUJbdq0sdhuWKtdXl4OoLrAq9l+P0PRZxjfpUsXbNy4Ed988w0OHDiAX375BUD1mfRZs2bhhRdeqFN8hov0fvrppweOq6ystBh/XRj2ra7HoqbaHlObt956C25ubtiwYQNWr16NVatWwcHBAcOHD8cnn3yCLl261Dne2t4heJSYDPtk6TH29vZwdXU1aTNcCHv+/HmcP3++1nlr5qNnz57w8fHB/v37cfv2bbRq1Qqpqam4efMm3njjjYeucycisoTFNhE1CcXFxRbbb968CQCQy+UAqpcI1GyvbbxhHFC9BCMuLg4ajQbZ2dk4cOAA4uPjERsbi3bt2lk8m3o/w3w7d+6EQqGo417B7Gx9XbZR27EwtNfct8fZjmH8+PHjMX78eJSWliIjIwO7du3C3r17kZubi507dz60+DTEYTiLXFu8dWHIr6XH6HQ63Lp1C+3btzfb9nPPPYdly5bVeTsRERFYuHAh9u3bh/HjxxuXkNz/TgERUV1xzTYRNQnHjx+HIAgmbXfv3kV2djacnZ3RrVs3AICPjw8AGG/TV1NlZSWysrLg7OxscZmIVCqFn58f3n//ffz5z3+GIAjYv3+/sd/OrvpXpk6nM3usYZmGYTmJNchkMnTp0gV5eXm4du2aWb9hn3v16iXqdt3c3DBq1CgsXboUgwcPxsWLF5GbmwsAxoLb0jGRyWR46qmnkJubixs3bpj113abPUsM+5SRkWHW98cff0Cr1Zq09ejRAzKZDFlZWdBoNHXeTlhYGOzt7bFjxw5UVFTg999/R8+ePU3uOkNE9ChYbBNRk5CTk4MtW7aYtP3www8oKSlBWFiYcd1zQEAAPD09ceDAARw6dMhk/IoVK1BaWmoy/uTJkxbPlhranJycjG2G2/ZZurd3VFQUWrZsiSVLllhctlBZWSlKIf7yyy9Do9Fg0aJFJi8+zp07h4SEBMjlcpNb8D2ugwcPmhWwGo3GuFzGcEFpq1atIJFIar3feUREBDQajdnZ5ZSUlDqv1waAkSNHQiaTYevWrcjJyTGJ6euvvzYb7+DggD/96U8oLCzEV199ZbHgPnfunFnuPTw8EBQUhKNHj2LdunWoqKjghZFEVC9cRkJETcKwYcPw2WefITk5GU8//TSys7ORkpKCjh07Ys6cOcZxdnZ2WLhwIaZOnYq3337beJ/tEydO4MiRI/D09MTcuXON43fu3IkNGzYgMDAQnp6ekMlkuHDhAg4cOAA3NzeTO6AMHjwY+/btw6xZsxAcHAwnJyfjRZbu7u5YvHgxZs2ahYiICDzzzDN4+umnUVVVhStXriA9PR3+/v5YuXJlvY7DW2+9heTkZGzfvh0XL15EUFAQSkpKsHfvXmi1Wnz11VcWl5E8qtjYWDg7O6N///7o1KkTtFotDh06hAsXLuDFF1803nGlZcuW6NOnD44dO4Z58+aha9eusLOzQ3h4ODp16oSpU6fit99+w+bNm3H+/HnjfbZ/+eUXjBgxwuSdgweRy+WYP38+Pv74Y4wbNw5hYWGQyWTYv38/nJ2dLV6A+f777+P06dOIj49HcnIyBg4cCHd3d1y7dg3nzp3D2bNnsWnTJrN14BEREUhJScHy5cthZ2fHYpuI6oXFNhE1CX5+fpg+fTqWLl2KdevWQSqVIiwsDB9++KHZRYYDBgzApk2b8M033yA1NRUqlQrt2rVDdHQ0ZsyYYXLBXnh4OKqqqvDHH3/g1KlTUKvV6NChAyZOnIiYmBiTu35MmDABhYWF2LNnD/79739Dq9UiMjISI0aMAACMGDECiYmJWLlyJQ4fPozU1FS4uLigffv2GDt2rChFm5OTE9auXYvvv/8ee/bswZo1a9CiRQsMGDAA06ZNs/iBLI9jzpw5OHjwIE6dOoX//Oc/aNGiBbp27YoFCxYgKirKZOw///lPLFy4EElJSSgvL4cgCOjXrx86deoEFxcXxMfHY/Hixfjtt99w+vRpeHl5YcmSJSgvL69zsQ0AkZGRkMvl+Pbbb5GYmAi5XI7Q0FB8+OGHiIyMNBvv6OiI77//Hlu2bMG2bduwb98+qNVqtG3bFj169MCrr75qcX396NGj4eLigoqKCgwaNMjinV+IiOpKIty/CJKIyIakpaXhtddew8yZM/Hee+81djhERESPhGu2iYiIiIishMU2EREREZGVsNgmIiIiIrISrtkmIiIiIrISntkmIiIiIrISFttERERERFbCYpuIiIiIyEpYbBMRERERWQmLbSIiIiIiK2GxTURERERkJSy2iYiIiIishMU2EREREZGV/A/VW+8PEqv6EQAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for ii, (label, var) in enumerate(zip([\"rural, $\\\\sigma$\", \"urban, $\\\\tau$\"], [\"sigma\", \"tau\"])):\n",
" az.plot_dist(district_urban_inference.posterior[var], color=f\"C{ii}\", label=label)\n",
"\n",
"\n",
"def exponential_prior(x, lambda_=1):\n",
" return lambda_ * np.exp(-lambda_ * x)\n",
"\n",
"\n",
"xs = np.linspace(0, 1.2)\n",
"plt.plot(xs, exponential_prior(xs), label=\"prior\", color=\"k\", linestyle=\"--\")\n",
"plt.xlim([0, 1.2])\n",
"plt.xlabel(\"posterior std dev\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "907b3ac7",
"metadata": {},
"source": [
"### Urban and Rural Outcomes are positively correlated"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "bae2aabf",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving figure to images/fertility_p_C_rural_urban.png\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"posterior_mean = district_urban_inference.posterior.mean(dim=(\"chain\", \"draw\"))\n",
"utils.plot_scatter(\n",
" posterior_mean[\"p_C_rural\"], posterior_mean[\"p_C_urban\"], color=\"C0\", label=\"posterior means\"\n",
")\n",
"correlation = np.corrcoef(posterior_mean[\"p_C_rural\"], posterior_mean[\"p_C_urban\"])[0][1]\n",
"plt.axvline(0.5, color=\"gray\", linestyle=\"dashed\")\n",
"plt.axhline(0.5, color=\"gray\", linestyle=\"dashed\")\n",
"plt.xlabel(\"prob C (rural)\")\n",
"plt.ylabel(\"prob C (urban)\")\n",
"plt.title(f\"Correlation: {correlation:1.2f}\")\n",
"plt.legend()\n",
"plt.axis(\"square\")\n",
"\n",
"# Save fig for reference in next lecture\n",
"utils.savefig(\"fertility_p_C_rural_urban.png\");"
]
},
{
"cell_type": "markdown",
"id": "721eb08a-bea9-4b60-a36f-9aafc8ab510c",
"metadata": {},
"source": [
"#### A few observations\n",
"- There's more contraceptive use in urban areas than in rural areas--a majority of points are to the left of the vertical line\n",
"- There's a high amount of correlation (cc>0.7) between contraceptive use in rural and urban areas in each district.\n",
"\n",
"**We should be able to take advantage of this correlation information to make better estimates**. MORE TO COME!"
]
},
{
"cell_type": "markdown",
"id": "da7cb6fe-300f-42d1-9520-1e61f90b1985",
"metadata": {},
"source": [
"# Summary: Multilevel Adventures\n",
"- **Clusters**: distinct groups in the data\n",
"- **Features**: aspects of the model (e.g. parameters) that vary by cluster\n",
"- There is useful information transferred across features\n",
" - We can use partial pooling to efficiently estimate features, even in absence of data"
]
},
{
"cell_type": "markdown",
"id": "647dbbc0",
"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": 18,
"id": "c7eb0f36",
"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",
"aeppl : not installed\n",
"xarray : 2024.7.0\n",
"\n",
"arviz : 0.19.0\n",
"matplotlib : 3.9.2\n",
"pandas : 2.2.2\n",
"numpy : 1.26.4\n",
"pymc : 5.19.1\n",
"statsmodels: 0.14.2\n",
"xarray : 2024.7.0\n",
"scipy : 1.14.1\n",
"\n",
"Watermark: 2.5.0\n",
"\n"
]
}
],
"source": [
"%load_ext watermark\n",
"%watermark -n -u -v -iv -w -p pytensor,aeppl,xarray"
]
},
{
"cell_type": "markdown",
"id": "bd4465cb",
"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
}