prefix_bias_only.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/homes/cdt21/aleks/understanding-prefixing/venv/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import os\n",
    "import sys\n",
    "\n",
    "from pathlib import Path\n",
    "from typing import List\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "\n",
    "# add current directory to path\n",
    "sys.path.append(os.path.join(os.getcwd(), \"llama\"))\n",
    "\n",
    "from llama import Llama\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "\n",
    "from ds import DART\n",
    "\n",
    "os.environ[\"RANK\"] = \"0\"\n",
    "os.environ[\"WORLD_SIZE\"] = \"1\"\n",
    "os.environ[\"MASTER_ADDR\"] = \"localhost\"\n",
    "os.environ[\"MASTER_PORT\"] = \"12357\"\n",
    "os.environ[\"NUM_TRAINERS\"] = \"1\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "> initializing model parallel with size 1\n",
      "> initializing ddp with size 1\n",
      "> initializing pipeline with size 1\n",
      "Loaded in 5.57 seconds\n"
     ]
    }
   ],
   "source": [
    "# load the LLAMA model\n",
    "\n",
    "model_name = \"llama\"\n",
    "max_seq_len = 128\n",
    "max_batch_size = 4\n",
    "generator = Llama.build(\n",
    "        ckpt_dir=f\"../{model_name}/META_RELEASED_WEIGHTS/7B\",\n",
    "        tokenizer_path=f\"../{model_name}/META_RELEASED_WEIGHTS/tokenizer.model\",\n",
    "        max_seq_len=max_seq_len,\n",
    "        max_batch_size=max_batch_size,\n",
    "        model_parallel_size=1,\n",
    "    )\n",
    "generator.model = generator.model.half()\n",
    "for n, p in generator.model.named_parameters():\n",
    "    p.requires_grad = False"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the text, we had two important observations about the limitations of prefix-tuning. Namely:\n",
    "\n",
    "1. __Prefix tuning cannot change the attention distribution across the non-prefix positions.__ It just \"steals\" attention from the non-prefix positions, leaving them scaled down but with the same relative attention distribution.\n",
    "\n",
    "2. __Prefix tuning can only apply a bias to the activations of the non-prefix positions.__ We showed that the effect of prefix-tuning is limited to biasing the activations in a fixed direction, with the attention on the prefix governing the strength of the bias.\n",
    "\n",
    "In this notebook, we show that these two phenomena occur in practice in the LLAMA model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Found cached dataset dart (/homes/cdt21/aleks/.cache/huggingface/datasets/dart/default/0.0.0/bbf058468e494e171c5731ee18aa81f340fca22c46f8d3726fc7335d721052a3)\n",
      "[nltk_data] Downloading package wordnet to\n",
      "[nltk_data]     /homes/cdt21/aleks/nltk_data...\n",
      "[nltk_data]   Package wordnet is already up-to-date!\n",
      "[nltk_data] Downloading package punkt to\n",
      "[nltk_data]     /homes/cdt21/aleks/nltk_data...\n",
      "[nltk_data]   Package punkt is already up-to-date!\n",
      "[nltk_data] Downloading package omw-1.4 to\n",
      "[nltk_data]     /homes/cdt21/aleks/nltk_data...\n",
      "[nltk_data]   Package omw-1.4 is already up-to-date!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loaded a prefix of length 1 with 4096 dimensions\n"
     ]
    }
   ],
   "source": [
    "# load a dataset and a prefix tuned for it\n",
    "ds = DART(\"test\")\n",
    "\n",
    "# You need to download the trained prefix from the provided Google Drive link\n",
    "prefix = torch.load(\"llama-7B_DART_Classic_1_1_20230920_223226_9.pt\", map_location=\"cuda\")[\"prefix\"]\n",
    "prefix_size, n_dim = prefix.shape[1], prefix.shape[2]\n",
    "print(f\"Loaded a prefix of length {prefix_size} with {n_dim} dimensions\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test sentence:\n",
      "X TABLE: Fourth Round Qualifying : NEW_ENTRIES_THIS_ROUND : 24 TEXT: Fourth round qualifying had 24 new entries.\n"
     ]
    }
   ],
   "source": [
    "dummy_prefix = \" \".join([\"X\"]*prefix_size) # we pass this to the input for the positions where we hard-code the prefix\n",
    "\n",
    "\n",
    "sample_idx = 104 # which sample from the dataset to take\n",
    "sentence = dummy_prefix + \" TABLE: \" + ds[sample_idx][0] + \" TEXT: \"+ds[sample_idx][1][0]\n",
    "print(\"Test sentence:\")\n",
    "print(sentence)\n",
    "\n",
    "all_tokens = generator.tokenizer.encode(sentence, bos=False, eos=False)\n",
    "assert len(all_tokens) < max_seq_len, \"The sentence doesn't fit in the maximum context size\"\n",
    "\n",
    "# get the attention patterns, inputs and activations with the prefix\n",
    "with torch.no_grad(), torch.autocast(\n",
    "    device_type=\"cuda\", dtype=torch.float16\n",
    "):\n",
    "    _ = generator.model.forward(\n",
    "        tokens=torch.tensor([all_tokens]), \n",
    "        prefix=prefix,\n",
    "        start_pos=0,\n",
    "    )\n",
    "    attention_with_prefix = generator.model.layers[0].attention.last_attention\n",
    "    activations_with_prefix = generator.model.layers[0].attention.last_output\n",
    "\n",
    "    # and without the prefix\n",
    "    tokens_wo_prefix = all_tokens[prefix_size:]\n",
    "    _ = generator.model.forward(\n",
    "        tokens=torch.tensor([tokens_wo_prefix]), \n",
    "        start_pos=0,        \n",
    "    )\n",
    "    attention_wo_prefix = generator.model.layers[0].attention.last_attention\n",
    "    activations_wo_prefix = generator.model.layers[0].attention.last_output"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check that the attention patterns of the content are simply scaled down by the presence of the prefix but their relative attention is the same.\n",
    "\n",
    "We show the attention map for the case with and without the prefix. We consider the first layer because the effect of the prefix is compounded in the deeper layers and the analysis is more difficult. The same results how though for layer $i$ if comparing layer $i$ with prefix and without prefix, given that layers $0, \\ldots, i-1$ are fixed (i.e., all have a prefix or none have a prefix in both cases)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 32, 39, 39])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "attention_with_prefix.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_idx = 0\n",
    "head_idx = 12\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(12, 6))\n",
    "\n",
    "attention_map_with = attention_with_prefix[0, head_idx].detach().cpu().numpy()\n",
    "words_with = [generator.tokenizer.decode([w]) for w in all_tokens]\n",
    "sns.heatmap(\n",
    "    attention_map_with, \n",
    "    vmin=0, vmax=1, \n",
    "    xticklabels=words_with, yticklabels=words_with,\n",
    "    mask=np.triu(np.ones_like(attention_map_with), k=1), \n",
    "    ax=ax1, \n",
    "    cbar=False,\n",
    "    center=0.6,\n",
    "    cmap=\"rocket_r\",\n",
    ")\n",
    "ax1.set_title(f\"Attention map for head {head_idx} of layer {layer_idx} WITH prefix\")\n",
    "\n",
    "attention_map_wo = attention_wo_prefix[0, head_idx].detach().cpu().numpy()\n",
    "words_wo = [generator.tokenizer.decode([w]) for w in tokens_wo_prefix]\n",
    "sns.heatmap(\n",
    "    attention_map_wo, \n",
    "    vmin=0, vmax=1, \n",
    "    xticklabels=words_wo, yticklabels=words_wo, \n",
    "    mask=np.triu(np.ones_like(attention_map_wo), k=1),\n",
    "    ax=ax2, \n",
    "    cbar=False,\n",
    "    center=0.6,\n",
    "    cmap=\"rocket_r\",\n",
    ")\n",
    "ax2.set_title(f\"Attention map for head {head_idx} of layer {layer_idx} WITHOUT prefix\")\n",
    "plt.savefig(\"llama_with_prefix.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visually, the patterns across the non-prefix tokens looks the same, but let's check that the numerical values, after being appropriatly scaled to account for the attention on the prefix, also match.\n",
    "\n",
    "In particular we want to show that\n",
    "\n",
    "$$ A_{ij}^\\text{pt} =  A_{ij} (1-A_{i0}^\\text{pt}). $$\n",
    "\n",
    "The left-hand side is `attention_map_with` which we already have, now we will compute the right hand side and call it `scaled_scores`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max. abs. difference: 4.88e-04\n"
     ]
    }
   ],
   "source": [
    "# amount of attention given to all the prefix positions across all predictions (A^pt_i0)\n",
    "attention_to_prefix = attention_map_with[:, :prefix_size].sum(axis=1)\n",
    "\n",
    "# computing the right hand of the above equation\n",
    "scaled_scores = attention_map_wo * (1-attention_to_prefix[prefix_size:, None])\n",
    "\n",
    "# The difference between the two (at the non-prefix positions) must be small (due to numerical error)\n",
    "print(f\"Max. abs. difference: {np.abs(scaled_scores - attention_map_with[prefix_size:,prefix_size:]).max():.2e}\")\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we can visually compare that they are the same when we crop out the prefix positions and scale the attentions as in the above equation: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(12, 6))\n",
    "\n",
    "sns.heatmap(\n",
    "    scaled_scores, \n",
    "    vmin=0, vmax=1, \n",
    "    xticklabels=words_wo, yticklabels=words_wo,\n",
    "    mask=np.triu(np.ones_like(scaled_scores), k=1), \n",
    "    ax=ax1, \n",
    "    cbar=False,\n",
    "    center=0.6,\n",
    "    cmap=\"rocket_r\",\n",
    ")\n",
    "ax1.set_title(f\"Scaled down attention map without prefix\\nfor head {head_idx} of layer {layer_idx}\")\n",
    "\n",
    "sns.heatmap(\n",
    "    attention_map_with[prefix_size:,prefix_size:], \n",
    "    vmin=0, vmax=1, \n",
    "    xticklabels=words_wo, yticklabels=words_wo, \n",
    "    mask=np.triu(np.ones_like(attention_map_wo), k=1),\n",
    "    ax=ax2, \n",
    "    cbar=False,\n",
    "    center=0.6,\n",
    "    cmap=\"rocket_r\",\n",
    ")\n",
    "ax2.set_title(f\"Attention map with prefix for\\nhead {head_idx} of layer {layer_idx} (prefix skipped)\")\n",
    "plt.savefig(\"llama_wo_prefix.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That concludes our verficiation of Claim 1 above, namely that the prefix cannot change the relative attention pattern across the non-prefix positions.\n",
    "\n",
    "Now, let's check that the effect of the prefix is to simply bias the activations of the attention block in a fixed direction.\n",
    "First, let's calculate the bias direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "with torch.no_grad(), torch.autocast(\n",
    "    device_type=\"cuda\", dtype=torch.float16\n",
    "):\n",
    "    mu = prefix[layer_idx, 0]\n",
    "    # need to normalize as this model uses normalization before the attention \n",
    "    mu = generator.model.layers[layer_idx].attention_norm(mu)\n",
    "    # compute V mu\n",
    "    wv = generator.model.layers[layer_idx].attention.wv\n",
    "    vmu = wv(mu).cpu()\n",
    "    # extract the part corresponding to this head\n",
    "    bias_dir = vmu[head_idx*128:(head_idx+1)*128]"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we can check if\n",
    "\n",
    "$$\\bm t_i^\\text{pt} = A_{i0}^\\text{pt} V \\bm\\mu + (1-A_{i0}^\\text{pt} ) \\bm t_i =  A_{i0}^\\text{pt} \\ \\texttt{bias\\_dir} + (1-A_{i0}^\\text{pt} ) \\bm t_i.$$\n",
    "\n",
    "\n",
    "The left-hand side is the activations with prefix tuning (`t_with`). \n",
    "The right-hand side is `t_test`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max. absolute difference between left and right hand sight: 9.16e-05\n"
     ]
    }
   ],
   "source": [
    "t_with=activations_with_prefix[0,head_idx][1:,]\n",
    "t_wo=activations_wo_prefix[0,head_idx]\n",
    "\n",
    "Apti0 = torch.tensor(attention_map_with[prefix_size:, 0]).cpu() # the A^pt_io vector\n",
    "\n",
    "t_test = Apti0[:, None]*bias_dir[None,:] + (1-Apti0[:, None])*t_wo\n",
    "\n",
    "print(f\"Max. absolute difference between left and right hand sight: {(t_test-t_with).abs().max().item():.2e}\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also visually compare them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HDx4stvfxxx8jJiZG/AXR5XLhhhtuiGjMqampWL58OdasWRNR+92PCQA33nijuL3xX7V/67HY/Ti33HKLuP3WW28FgD1e4tRS9nUcly5dijVr1uCSSy7Bzp071T7V1NTglFNOwZw5c/b6UrRp06ahoKAA3bt3F3Ny8sknA4D6602k87y/7GvQ5/OhrKwMhYWFWL9+PXw+335vb+HChSgpKcF1110n3jN45plnonv37k0ep32tayL633PqqaciKysLHTp0wHnnnYeEhATMmDFjn3/x+/TTT5Gbm4uRI0eq27xeL6666qom2ycmJuL3v/+9+jk2Nhb9+/dvkXNQjx49VGYAv/7V8MgjjxTb9ng86gOtQqEQdu7cqV4C3lQm7iuTdp+Dr732WtFu99vU9mX3K5Xef//9iF9GvX37dixduhRjxowRj3HaaaehR48eou20adOQkpKC0047TWRe3759kZiYaHzFgv1xxo4di/T0dHX7UUcdhdNOO03lZEuL5DhOmzYNgwcPRlpamtivU089FaFQCHPmzDFu//PPP0dFRQUuvvhi0dflcuH4449Xc7I/87w/7P8OqK+vR1lZGU444QQAaPa/kT/++GP0798fgwYNUrclJibi6quvxsaNG7FixQrRPpJ/M9OBxZejU4sqLS1FRUUFnn/+eTz//PNNttn94R3N2bb9fauJiYnipcwdO3YU7Xe/hM7+nqfNmzfjnnvuwYwZM/Z4L1TjCyCv17vHy37S0tJEv02bNiEnJ2ePl1QfeeSREe3T/fffj1GjRuGII45Ar169cMYZZ+Cyyy7DUUcdZeyzadMmOJ1O5Ofn7/Uxf+ux2P04Xbt2Fbe3bdsWqamp2LRp0752r1n2dRx3/8Jiby/59/l8xpdQrlmzBitXrjS+pGv3nEQ6z/tr7ty5uPfeezFv3jzU1tbuMe5I/tFmt/s4NDWu7t2749tvvxW3RbKuieh/zzPPPIMjjjgCPp8PL774IubMmRPRhz9t2rQJ+fn5e3z+RePs2K19+/Z7tE1LS8NPP/20z8eqrq5GdXW1+tnlconzWeP82L1t+/ktHA7jySefxJQpU7Bhwwbx74qMjIw9+u8rk3afg7t16ybaud1udOnSZZ/7dOGFF+Jf//oXrrzyStx111045ZRTcO655+K8884zfvq16TEB7PHLhDVr1sDn8yE7O7vJbe3r3wG7t9lYQUEBPvvsM9TU1CAhIcG8g80QyXFcs2YNfvrpp31meVN2/zti9y/fG0tOTgawf/O8P8rLyzFhwgS8+eabe4yzOb+MB34d6/HHH7/H7btf5r9p0yb06tVL3R7Jv5npwOJFOLWo3b/F/f3vf2+8SNrbBebeHHfcceLC79577xUfjuVyuZrsZ1kWgF9/433aaaehvLwcd955J7p3746EhAQUFRVh7Nixe/wG2rS9ljRkyBCsW7cO77//PmbOnIl//etfmDRpEp577rl9fsXHvrTUsYj0g/Fayr6O4+79evTRR41fXdP4lyJ24XAYvXv3xj/+8Y8m79/X+/eaYpqjxh92tm7dOpxyyino3r07/vGPf6BDhw6IjY3Fxx9/jEmTJkX8V5DfojXWNREdevr3768+HX306NEYNGgQLrnkEqxatWqv59T9ta9z/N489thjmDBhgvo5Ly9PfNd0JNt+8MEH8de//hVXXHEFHnjgAaSnp8PpdOKmm25q8hz8W8Ybibi4OMyZMwezZ8/GRx99hE8//RRvvfUWTj75ZMycOfM3n7PD4TCys7Px2muvNXm/6SI2miKZ83A4jNNOOw133HFHk22POOII4/Z3H+dXX30Vbdu23eP+5nwjTaT/DgCACy64AN999x1uv/129OnTB4mJiQiHwzjjjDNa5d8BwIFf17RvvAinFrX7U6RDoRBOPfXUZm3DdCJ77bXXxKeYR/IbZruff/4Zq1evxtSpU9UHwQEQn0S+v/Ly8vDFF1+gurpa/CNl1apVEW8jPT0d48aNw7hx41BdXY0hQ4bgvvvuM16E5+XlIRwOY926deK3040f87cei92Ps2bNGvGBKcXFxaioqEBeXt5+bxP47Rf1u/8ynZyc3Kz9ys/Px48//ohTTjllr2OJdJ6BX3+D3NQn4jd+tcAHH3wAv9+PGTNmiN9CN/VywEjnafdxWLVq1R6/1V+1alWzjxMR/e9yuVyYOHEihg4dismTJ+Ouu+4yts3Ly8OKFStgWZY4b/2WT1o2nf8uv/xy8XJb+8t6I/XOO+9g6NCh+Pe//y1ur6ioUB9+tT92n2PXrFkjzsGBQAAbNmzA0Ucfvc9tOJ1OnHLKKTjllFPwj3/8Aw8++CDuvvtuzJ49u8mcsz9mY40zKj8/H7NmzcLAgQP3e77s+dLYL7/8gszMzGb9Fbwlfrmfn5+P6urqZv87AACys7P32n9/5nn3X5Ib/1ug8b8Ddu3ahS+++AITJkzAPffco25v6jH2Z57y8vKMx2n3/XRw4XvCqUW5XC787ne/w7vvvotly5btcX9paek+t7H7hN74RDZw4ECceuqp6r/9vQjf/Vs/+2/5LMvCk08+uV/bsRsxYgSCwaD4iqlQKISnn346ov72r6MAfv0LbteuXff4qiy74cOHAwCeeuopcXvjTwL9rcdixIgRTW5391+Qm/sp4QkJCc1+uRUA9O3bF/n5+XjsscfEyxJ329d+XXDBBSgqKsILL7ywx311dXWoqakBEPk8A78Gus/nEy+n3L59+x5fF9PUGvT5fHjppZf22GZCQkJEX3XXr18/ZGdn47nnnhPr5pNPPsHKlSt/86e5E9H/ppNOOgn9+/fHE088gfr6emO7YcOGoaioCDNmzFC31dfXN3mOjZTp3wFdunQR/w4YOHDgfm/b5XLt8de+adOm7fGVjpHq168fsrKy8Nxzz6GhoUHd/vLLL0d0Di8vL9/jtt2v8jL9WyAnJwd9+vTB1KlTRZ5+/vnne7z394ILLkAoFMIDDzywx3aCweBex2h/HHu7ZcuWYebMmerfCfvLdHz3xwUXXIB58+bhs88+2+O+iooKBINBY99hw4YhOTkZDz74IAKBwB737/53xP7Mc15eHlwu1x7vRZ8yZYr4ual/BwBN/9tif+ZpxIgRWLBgAebNm6duq6mpwfPPP49OnTr9pvew04HBv4RTs7z44ov49NNP97j9z3/+Mx566CHMnj0bxx9/PK666ir06NED5eXlWLx4MWbNmtVk4Nj17dsXwK8fiDVs2DC4XC5cdNFFv3nM3bt3R35+Pm677TYUFRUhOTkZ77777m96/8vZZ5+NgQMH4q677sLGjRvRo0cPvPfeexFfZPbo0QMnnXQS+vbti/T0dCxcuBDvvPMO/vSnPxn79OnTBxdffDGmTJkCn8+HAQMG4Isvvmjyrw6/5VgcffTRGDNmDJ5//nlUVFSgsLAQCxYswNSpUzF69GgMHTo0on1srG/fvnjrrbdwyy234LjjjkNiYiLOPvvsiPs7nU7861//wvDhw9GzZ0+MGzcOubm5KCoqwuzZs5GcnIwPPvjA2P+yyy7D22+/jWuvvRazZ8/GwIEDEQqF8Msvv+Dtt9/GZ599hn79+u3XPF900UW48847cc455+DGG29UX3VyxBFHiPeMnX766YiNjcXZZ5+Na665BtXV1XjhhReQnZ2N7du37zFPzz77LP72t7+ha9euyM7ObvL9a263Gw8//DDGjRuHwsJCXHzxxeoryjp16oSbb7454rklIrK7/fbbcf755+Pll1/e4wMdd7vmmmswefJkXHzxxfjzn/+MnJwcvPbaa+qDIpvzV8/8/HykpqbiueeeQ1JSEhISEnD88cejc+fOv2l/AOCss87C/fffj3HjxmHAgAH4+eef8dprr+33L/Z3c7vd+Nvf/oZrrrkGJ598Mi688EJs2LABL730UkTbvP/++zFnzhyceeaZyMvLQ0lJCaZMmYL27duLv/o3NnHiRJx55pkYNGgQrrjiCpSXl+Ppp59Gz549xS+oCwsLcc0112DixIlYunQpTj/9dLjdbqxZswbTpk3Dk08+ifPOO8/4OI8++iiGDx+OE088EX/4wx/UV5SlpKSItwTujz59+sDlcuHhhx+Gz+eDx+PBySefbHzfelNuv/12zJgxA2eddZb6+rKamhr8/PPPeOedd7Bx40bjKxuSk5Px7LPP4rLLLsOxxx6Liy66CFlZWdi8eTM++ugjDBw4EJMnTwYQ+TynpKTg/PPPx9NPPw2Hw4H8/Hx8+OGHe7znOzk5GUOGDMEjjzyCQCCA3NxczJw5Exs2bNhjnLv/PXz33Xfjoosugtvtxtlnn93kqw/uuusuvPHGGxg+fDhuvPFGpKenY+rUqdiwYQPeffdd4+cLUBS19sex06Ft91eZmP7b/VUmxcXF1vXXX2916NDBcrvdVtu2ba1TTjnFev7558X20MRXlAWDQeuGG26wsrKyLIfDsc+vKzN9LUZTXwuxYsUK69RTT7USExOtzMxM66qrrrJ+/PHHPdqZvnKrqa+c2rlzp3XZZZdZycnJVkpKinXZZZdZS5YsiejrVf72t79Z/fv3t1JTU624uDire/fu1t///neroaFhr49ZV1dn3XjjjVZGRoaVkJBgnX322daWLVv2+Oosy4r8WDQlEAhYEyZMsDp37my53W6rQ4cO1vjx4636+nrRbn++oqy6utq65JJLrNTUVPEVH/tzHC3LspYsWWKde+65VkZGhuXxeKy8vDzrggsusL744ot9jqGhocF6+OGHrZ49e1oej8dKS0uz+vbta02YMMHy+Xyq3f7M88yZM61evXpZsbGx1pFHHmn95z//afLYzZgxwzrqqKMsr9drderUyXr44YetF198cY+vIdmxY4d15plnWklJSeJrbkxfg/LWW29ZxxxzjOXxeKz09HTr0ksvtbZu3Sra7M+6JqL/DXv76tFQKGTl5+db+fn5VjAYtCxrz68osyzLWr9+vXXmmWdacXFxVlZWlnXrrbda7777rgXA+v7771W7wsJCq2fPnns8TlNf8/j+++9bPXr0sGJiYiLK07y8vCa/8rPxeOvr661bb73VysnJseLi4qyBAwda8+bN26Pd/mbSlClTrM6dO1sej8fq16+fNWfOnCbnqrEvvvjCGjVqlNWuXTsrNjbWateunXXxxReLr94yPea7775rFRQUWB6Px+rRo4f13nvvGb8y8/nnn7f69u1rxcXFWUlJSVbv3r2tO+64w9q2bdtex2dZljVr1ixr4MCBVlxcnJWcnGydffbZ1ooVK0Sb/fmKMsuyrBdeeMHq0qWL5XK5RKZFehwt69ev4Bo/frzVtWtXKzY21srMzLQGDBhgPfbYY+LfUSazZ8+2hg0bZqWkpFher9fKz8+3xo4day1cuFC0i3SeS0tLrd/97ndWfHy8lZaWZl1zzTXWsmXL9jh2W7dutc455xwrNTXVSklJsc4//3xr27ZtTf7b4oEHHrByc3Mtp9Mp/p3Q+CvKLMuy1q1bZ5133nlWamqq5fV6rf79+1sffvjhHvu8P+uaDhyHZfEd+ERE+8PhcOzxwYBERKQ98cQTuPnmm7F161bk5uZGezhELWrs2LH46quvxAcDEu0PvjaBiIiIiJrN/qGpwK/vCf/nP/+Jbt268QKciKgJfE84ERERETXbueeei44dO6JPnz7w+Xz4z3/+g19++cX4tVhERP/reBFORERERM02bNgw/Otf/8Jrr72GUCiEHj164M0338SFF14Y7aERER2U+J5wIiIiIiIiolbC94QTERERERERtRJehBMRERERERG1El6EExEREREREbWSw/KD2aZ0+L34eezNcaouf2udqlOOj1f1LTPiRJ+JR5ao+selbVUd6wiJdj36lqq6vtyl6s83txPtulu1qg6F9e8+JnuCot0zfXapetH3+nGPH12h6p3fh0WfR31pur7Kq7f1vGx3VL1+rME3eVQd3r5TtNv6ie6XlF6v6unb9D6NvbBK9AntrFF17Ro9R4lHeUW72hX6a0xiM/Tt3hH9RLvgouWqfn+6bnhWYZGqrQb5cQalK/RjLfLpPmdfWivalc+u1NsIO1S9sihTtPNC70ff8/X+PT8jXW87oUz0SUzzqzrldH38Xvy3S7Q7LqTHVBVyq7rfkGLRbuGcNqpe5NXtLs3eLtqlj8rR7SbrMaTH6/leWZci+gw5Us9lygN/UPXc8z4U7bbE6Mc9pZ1+3Lh0uXa9ffScf/SKfj595tHjebhbqejz5bL2qu4WU63q9cFE0W7EPXrO73lYz/nwOrnG26fpY+t26+O3skSPrdYpf/d41jM9VT31zytU3R9yjXc9Q89l0Vf61JmY6hftNmzRYw1aen0NXv6QaFdzg57zmPapqn7pzQRVtw3KNT58rH4++pfpeajYIJ9n/jo9vg6n6Xn4fHq6aHfaBXq+vnw7WdX58fr2hoBcu93v6qDq0HJ9Pi2ZI49Fm7P1MXTE6G0UvVMp2mX10Pv03ny9HpJDet8HdysSfTz6aQFXsl6fZQscol1NtT7PORx6e51GyzWw41N9DDOPblD191/qB2qfUC36dDwtoOplM/S+Hn2VW7Rzdu2s6rjLJ4Jalj3vI8l6QOa9KesBmfemrAdk3rdk1gMy701ZD8i8N2U9IPM+kqwHZN6bsh6QeW/KekDmfSRZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmvSnrAZn3EWf9aP11b4ue1nNsz3pA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu9NWQ/IvI8k6wGZ96asB2Tem7IekHnfklkPyLw3ZT0g896U9YDM+0iyHpB5b8p6QOa9KesBmfeRZD0g896U9YDMe1PWAzLvI8l6QOa9KesBmffNyXr+JZyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJVE9T3hZWVlePHFFzFv3jzs2LEDANC2bVsMGDAAY8eORVZWVjSHR0RERERERNSionYR/sMPP2DYsGGIj4/HqaeeiiOOOAIAUFxcjKeeegoPPfQQPvvsM/Tr12+v2/H7/fD75YdBBKwQ3A6XoQcREREdapj3RER0uIjaRfgNN9yA888/H8899xwcDvmplZZl4dprr8UNN9yAefPm7XU7EydOxIQJE8RtI5J648yUo1p8zERERBQdzHsiIjpcRO094T/++CNuvvnmPS7AAcDhcODmm2/G0qVL97md8ePHw+fzif9OT+65z35ERER06GDeExHR4SJqfwlv27YtFixYgO7duzd5/4IFC9CmTZsm77PzeDzweOT3YPKlaURERIcX5j0RER0uonYRftttt+Hqq6/GokWLcMopp6gL7uLiYnzxxRd44YUX8Nhjj0VreEREREREREQtLmoX4ddffz0yMzMxadIkTJkyBaFQCADgcrnQt29fvPzyy7jggguiNTwiIiIiIiKiFhfVryi78MILceGFFyIQCKCsrAwAkJmZCbfbHc1hERERERERER0QUb0I383tdiMnJ6fFtndBjy3iZ8exY1Sdur1M1avfDOsxuOQHxK34MVvVO1z6lwIDsspFu+8XtlP10Am6T88HNot2q5Cgar9t1sfVB0W79xd2UPXbsTtVPS3Jq+qsEfKwpbyhf66etUn3CVii3RlxKar+7gl934DrU0S7Ti+corf396m63bYqVdcs9Ik+n69ur+rfPZKn6i1/XyTafVOl2w2r26Zq98o1ot1n/01Xdfuw/kqa2EL9KbihX9aLPu1P7aQf5++7VO06uodol1I2X/8Q1POwvEzO6y6n/tzCvmHdLs42rd9XZoo+var1HP3wnF5TF/WWazK2rX6sO77R+3pCm3jRru8JO1Rd8oNeGz9vzhLtTh52jqqzpv5b1cur01Td+CMQE47Xj2ut/Vk/jkvOw0p3SNUXXtdX1fdNkPt0Q0Wxqs+8WK/rtNf0PiVe2Ff0mb9GrwF/IEnVHsi1+/MDRar+d+VPqu6QfoJo16ZBvz+0/QV6XR/x0BxVV025UPT54bolqt7q1c91VzBJtNsxI07VKQ69f2VV8phlJtSqeleN7hNc9LFoB6c+IlXzKlR9fme9dp1uOQ/ln+tj88sWfc7Mia8R7eLiGlQdM2yoqr3/XSraOeJiVf2VV58P02r1uO37AwAlL6xSdVIH/TieBPneXFfBEareMEEfs3eCGaLdkG/1Nnbq0xxyA3rduVPkPMyfo/d90FjbvnrkeamqTO9fXVjPXX7vPNFu7Wv6fO1dX6LqwdfoNg3Lq0Wfsu/0ttMS61S96bV60a7zlFzQgWPP+0iyHpB5b8p6QOa9KesBmfctmfWAzHtT1gMy701ZD8i8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701ZD8i8N2U9IPM+kqwHZN6bsh6QeW/KekDmfcRZf/ooVWe93HTWAzLvTVkPyLw3ZT0g8z6SrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT0g896U9YDM+5bMekDmvSnrAZn3pqwHZN5HkvWA3CdT1gMy701ZD8i8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701ZD8i8b07WR+3T0YmIiIiIiIj+1/AinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJU4LMuyoj2IlvbHTheInx8ZUaXqkjlhVbcdlazq5171iD5Xj65Q9c/T9H31YZdo1//ygKq3vu9X9Te16aLdca5KVcfGhFT9t2CsaPfCOK+qq7/arvtk6DYbf0gRfV5xxqn6wQmdVP3DnetEu11wq/r0yT1U7X/3C9Huk6/bqbpvyk5Vf1CTqeprL/OLPo7kRFX/Mrlc1UecL5eXVa/nK7SrXtWxx3YW7eDWY/30IX38+rYrUbUnMSi6zF+tx93Gqbd9xPE7Rbv1P6SpOjOzRtV1NW7RLildbyOho143b89rr+rR3baIPjHxuo4b0VvVkx7ZJdr1qdfb65LsU3VqmzrR7qv1ep82uR2qvuoo+bgO26/TVs7PUnWnzvpYLNzQVvTp7NXz2u354br/Hz4T7RpCes17bGv3iGvkOnQk6HU4eZKe159Rq+q7PfWiTzik98nl1nOydVeyaDfgwQ6q/vovW1XdPqFatEtI0utye4neRo8heh4enC/n4f63z1X1O6Pf14+ZUSLatblI9yufXqTq2EbrcPt6PS+l9XpOCuffLtrtGnerqhNPzVP1nS/ofci15Jr88y36eRZatUnVxV+FRbvKKn0eyTuqQtU/Lmwj2h3dv1iPZ53uEwjoY+5viBF9jny8v77Pdu7YtUK2S+uh5yV2SC9V13/6k2jnStf7+P5MPccZQb3WumeViz5ZA3Ud3KHX1OofMkS7BI8+38QnNKjamxQQ7QJ1en+TO+t2by7U665Hgzzn9b1YP+43bySoeuhDHUW78Ba9VhLueQ3Usux5H0nWAzLvTVkPyLw3ZT0g874lsx6QeW/KekDmvSnrAfmcjSTrAZn3pqwHZN6bsh5olPcRZD0g896U9YDMe1PWAzLvI8l6QOa9KesBmfemrAdk3rdk1gMy701ZD8i8N2U9IPM+kqwHZN6bsh6QeW/KekDmfSRZD8i8N2U9IPPelPWAzPuWzHpA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu9NWQ/IvI8k6wGZ96asB2Tem7IekHkfSdYDMu9NWQ/IvG9O1vMv4URERERERESthBfhRERERERERK2EF+FERERERERErSTqF+F1dXX49ttvsWLFij3uq6+vxyuvvBKFURERERERERG1vKhehK9evRoFBQUYMmQIevfujcLCQmzfrj+gxOfzYdy4cXvdht/vR2VlpfgvZIX22oeIiIgOLcx7IiI6XET1IvzOO+9Er169UFJSglWrViEpKQkDBw7E5s2bI97GxIkTkZKSIv5b7PvlAI6aiIiIWhvznoiIDhdRvQj/7rvvMHHiRGRmZqJr16744IMPMGzYMAwePBjr16+PaBvjx4+Hz+cT/x2b0v0Aj5yIiIhaE/OeiIgOFzH7bnLg1NXVISZGD8HhcODZZ5/Fn/70JxQWFuL111/f5zY8Hg88Hvndni6Hy9CaiIiIDkXMeyIiOlxE9SK8e/fuWLhwIQoKCsTtkydPBgCMHDkyGsMiIiIiIiIiOiCi+nL0c845B2+88UaT902ePBkXX3wxLMtq5VERERERERERHRhRvQgfP348Pv74Y+P9U6ZMQTgcbsURERERERERER04UX05+oHSznLLG2L1bjb49deZhEp8qm4TzBZdQjtrVZ0cp29PDDvktkP657jEBlUfVV0rmtWG9JhiY/QYeiJebm57marrK/W4Y5ICqk5I8Is+3aqTVG3t2gWTTOjxWVu36LFtku3SQnp8lqX3b2+/sQlt2qHq1FTdP+yTr2Ro2KrHEA7q252rt4p2ruwU27g1X7k+GMnhetEnxvaqiRin/uWNFRTN4HLqdvYXWgQCkb23sE1Qb9vZ6BlUscmr6tif16q6QzBTtLMvo+pa/R5HZ5mcr/iw/jnLttaCVY3WoUO3c9n2vbJMj6eDu0Z0SUyyraPNeqw7G7yiXW5itao9cXoyw6XyF2SOiio91mCCqju79TGLiZFjCLts68u2D16H/Nqh8I4SVSc5Gh1Qm1BAr9KGsK79JXqsuWF5nK3lP6jabVsQLrfcv3BxeZOPGaiV24uL08/V1KC+LzT/I9EuWK/vs6r1vPQK6flKavTtS+GtxaquX6PPMUHbfAOA07bG7U9ct0PuU8BnW1P2sYZ0p3Cjc561QX9opiNGt4uJldsOVuifY23r2L9TnkncDXq+7OvdBV27vfKY167UE+PtoMcdHxsQ7UK2sYdsz59AnTxmDtt8BSv17fG2XQo0OgOGbRmR47HN16Ytop3VKAuoZYm8jyDrAZn3pqwHGuW9IesBmfctmfWAzPvfmvWAzPuWzHpA5r0p6wGZ95FkPSDz3pT1gMx7U9YDkeW9PesBmfemrAdk3puyHpB535JZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmfUtmPSDz3pT1gMx7U9YDMu9bMusBmfemrAdk3puyHpB5H0nWAzLvTVkPyLw3ZT0g8z6SrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT0g8745WR/Vv4QTERERERER/S/hRTgRERERERFRK+FFOBEREREREVEr4UU4ERERERERUSvhRTgRERERERFRK+FFOBEREREREVEr4UU4ERERERERUSvhRTgRERERERFRK+FFOBEREREREVEr4UU4ERERERERUSvhRTgRERERERFRK4mJ9gAOhEJ/g/jZ4XGrOi2nStX+jZaqU8Ih0WfprAxVt0vXfeISA6Jd/fKgqlcV5ag6BmHR7oM4/fuO29uUq9pZlCbaBbbWq3rJtlxVnzKgQtU5uXLb/o91vf1fG1X9nSdLtCvw636V762y3eOAib9eL5Fefr3voRKfaNew1a/q2pokffu2KtFuzo96nwr7Ful2m/2inSeuTtfOWFVnd7Qdv2q5fAMOvR8NIZeqq7bEinahsG63Zoc+zvO9LtHuhi7Vut0cfZy6xleqOvHKk0Ufx4tfqtrVp4/u8/5W0a5j3i5Vr96YqffBJ38vVhajf84N6LUW103uU8USvX4LhunxBXboY7Z4cY7oU1ISp+rsNRv17a540S7Nr58/mZ30nIR3BUW77fM8qs4J6jrX1szbRj5/LNuxSO6hb885Qo5h+2vFqu59tn7ebv3SLdqlH6mfP9vmJett//44VXvu2yH6bHnkJ1Wf1l+vu2mLOoh2lzj1mo9L1ztVuj5BtItLsD1PKm3PrViPaFdToY9hSlA/N1NCev/clugC9x9uUrVv3ARVtxsqz1+uXL1ei97Q58MUr3yeBf16fblj9TYCAf1c6NijQvQJbdL759+m58EdJ88jlVv1/gbfWqbq+Hz5PHNl6PNFl2V6fe1q8OptlceJPjlt9Hkgtm++qhu+LhXtNob0sYmr13PshpzYo3tsV7UV0vuRFtJ98tLlOW/TN3qNbm7Qj+N6WZ7zOo8GHUD2vI8k6wGZ96asB2Tem7IekHnfklkPyLw3ZT0g896c9YAp701ZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmvSnrAZn3kWQ9IPPelPWAzHtT1gMy71sy6wGZ96asB2Tem7IekHkfSdYDMu9F1neX7XK66zGYsh6QeR9J1gMy701ZD8i8N2U9IPO+JbMekHlvynpA5r0p6wGZ95FkPSDz3pT1gMx7U9YDMu8jyXpA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu+bk/X8SzgRERERERFRKznoLsIty9p3IyIiIiIiIqJD0EF3Ee7xeLBy5cpoD4OIiIiIiIioxUXtPeG33HJLk7eHQiE89NBDyMj49f07//jHP1pzWEREREREREQHTNQuwp944gkcffTRSE1NFbdbloWVK1ciISEBDof5A8N28/v98Pvlhw01WCHEOlyGHkRERHSoYd4TEdHhImovR3/wwQfh8/nw17/+FbNnz1b/uVwuvPzyy5g9eza+/PLLfW5n4sSJSElJEf+9VvNLK+wBERERtRbmPRERHS6idhF+11134a233sIf//hH3HbbbQgEAvvu1ITx48fD5/OJ/y5N6L7vjkRERHTIYN4TEdHhIqofzHbcccdh0aJFKC0tRb9+/bBs2bKIXoJu5/F4kJycLP7jS9OIiIgOL8x7IiI6XETtPeG7JSYmYurUqXjzzTdx6qmnIhQK7bsTERERERER0SEo6hfhu1100UUYNGgQFi1ahLy8vGgPh4iIiIiIiKjFHTQX4QDQvn17tG/fPtrDICIiIiIiIjogDqqL8JayzuURP/f4aYvtJ/2e80CN+S3x2Ym1qt5YnqrqhF1B0a5bcqmqO6ZU6v4FNaJd+QL9y4VF69vqsXrrRTtnvB5fR7fehlWnP7iuYWuD6NMuYKnak6DbtdklmqGNUz+WN1c/zvpvk0W7VJfefkW9V4/N1mbb13LptO2rH7e4JkHvQ0f5gXtHbdqp6tj8JFVbdXKfHB63qjsdqfsE6/X7/0IBefwqXPrnLm69vbhUOYYVpYmqHtFHr43knzNEu+r1eo6Sk/TcLfWlqzrrOfkJ/sUb9Fx2Wb1B1T/FyDku3aTXaMj2MQjHNjposWX67Rll0MfClZ0i2nlTSvS4f9FzVLw1VdX+Rp+3MLhwh6qDG/Xtx8TJrwDaWK2PU1qxbQyN1m5yZljVvTP0fbGJeh/CATmGkk1623El+vlTs2aLaOd06fXQsFWPr6xGzkOHHD2Gnn31nITW6tu7Nci12+DXP29cnKrqgbEVol2oVJ8TXIm2tZHZ6Dns0s/HvER9PK3i7aJdzlC9DUecXg85Ib12yx1u0Sf4+rOqjvHqed0xJ1a08yboY5szLF7VP7wRJ9ple6pU7Y7X+5F1vJ6vHd/JPu1P1eev+NgyVdcsrhTtsofpfrVL9DFzpsjtrX9Pz1dqqh6Dw2fbVucqexd8uyhX1UPbblS1N1ae+/sm6TUwt7SNqvsllot23/yiz88DOm9DU6qr5bZ3NOj96BCrz9Vt8+U8+FfqOgnU0ux535JZD8i8N2U9IPO+JbMekHlvynpA5r0p6wGZ95FkPSDz3pT1gMx7U9YDMu9F1h+hn5dBvxyFPe9NWQ/IvLdn/fCjZKYkL9d5H0nWA0D28zrvd6xrOusBmfemrAdk3rdk1gMy701ZD8i8N2U9IPM+kqwHZN6LrC+Tz5+aj/SxMWU9IPM+kqwHZN6bsh6QeW/KekDmvTHrdxSJPpFkPSDz3pT1gMx7U9YDMu8jyXpA5r0p6wGZ99mn6bVS+6M8Zva8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701ZD8i8b07WR/WD2YiIiIiIiIj+l/AinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiVxER7AAdCpUv+7IzV9fblKarOP61W1ds2y07H5daoOrRF/64iGJK/t3B5dR0M6vtWzs8S7fJjq1Xtjgnp/uE40S4mS/8c69btGrY1qLqm1C36rI91qPqsUzNUnfLvsGhXa+nDHdunk6oz12wW7RZubaPqTm49D+uDiaru27dO9HEm6jHlJOp9dbjkfMWl+FUdKtX75MqQ8+BIT1b1ul/0Nrr2KFN1fZWch8SwpeqKen1gchMqRbvcYEDVZRsSVF0bkk+HuGw9/05XvR6rT7eJiRddkNVe77szv6eq/Y4K0S4Negwep34cb3JAtNu13aPqgEMf5/qfSmBSvkPvU3ycbXty06jeqLeXfnkPVZd9XWzcdl2tnvOsdpa4z91O119/oNfhFrd+bp3VZrvsY1vjdWV6/n075Xro/Hu99ra/s0vVbVKrRbu6Vfo5XbZR9+l4lG6z1CPXzbVX6bGufrZC1ZblEO1i2ulzR8UcvQgcjX6VWVGsx247ZEg9srdoF/r6J93Oq8e0Ilav/ZSQ6AJHO31eietarscaqhftdm3XC9Pzo17/HodHtHOn6GNYvELPVxvbc7i6OlUOwqWPZ6hUnx8qdshj5l5XoeqEoR1UHVy3Q7TreKLeyV++TlN1VUjPSXKxV/Tp11lvI1Spz3N1/kTRrs6vt9EvUc+XO1ZObO8UfV9crp6Tks364KYH5Lo5ppt+nmzdkKr7d5Pz4MxIAh049ryPJOsBmfemrAdk3puyHpB535JZD8i8N2U9IPNeZP2xnUW7zDWbVB1J1gMy701ZD8i8N2U9IPNeZP2qprMekHlvynpA5r0963duShDt7Hlvynp3hcw4+xowZT0g8z7F0mOIc8nzjj3vWzTrAZH3pqwHzHlvz3pA5n0kWQ/IvDdlPSDz3pT1gMz7SLIekHlvynpA5r0p6wGZ98as73606BOas0y3M2Q9IPPelPWAzHtT1gMy7yPJeqBR3huyHpB5796g58ie9YDM+0iyHpB5b8p6QOa9KesBmfeRZD0g896U9YDM++ZkPf8STkRERERERNRKeBFORERERERE1Ep4EU5ERERERETUSngRTkRERERERNRKonoRvnjxYmzYsEH9/Oqrr2LgwIHo0KEDBg0ahDfffHOf2/D7/aisrBT/Ba3QPvsRERHRoYN5T0REh4uoXoSPGzcO69atAwD861//wjXXXIN+/frh7rvvxnHHHYerrroKL7744l63MXHiRKSkpIj/Pq9c3hrDJyIiolbCvCciosNFVC/C16xZg27dugEApkyZgieffBJPPvkkrr32WkyaNAn//Oc/8fjjj+91G+PHj4fP5xP/nZbcc699iIiI6NDCvCciosNFVL8nPD4+HmVlZcjLy0NRURH69+8v7j/++OPFy9Wb4vF44PHI776NcbgMrYmIiOhQxLwnIqLDRVT/Ej58+HA8++yzAIDCwkK888474v63334bXbt2jcbQiIiIiIiIiFpcVP8S/vDDD2PgwIEoLCxEv3798Pjjj+Orr75CQUEBVq1ahe+//x7//e9/ozlEIiIiIiIiohYT1b+Et2vXDkuWLMGJJ56ITz/9FJZlYcGCBZg5cybat2+PuXPnYsSIEdEcIhEREREREVGLiepfwgEgNTUVDz30EB566KEW2+Zp7l3i57iRx6k6t/oHVX/9UTtVD0kqF318JXGqrvG7Vd2unU+0q96u7+t0oX6vWvEHVaLdlxVZqj6zbZGqz1qfJNq9836Gqsttb3W7tKZa1bVVsaLP6Fg99vqlNar2Wjmi3Tq37pfzr2JVZ3cPinann6S34V9VoeqiH+JVXblG/v7G5dbb6HR1rqqLX98q2nkSLFW7e3XQY3tBHrOExB2qrgmn6j7pDlXP/SXL3gV9PPrYJKXUq9qSu4cTJ7TV920Jqzr+s52i3aIFev56d9PztcCj+3gWtRN9ct21qvZ+tUzVQ53yOGd20cfz30V6G6etTRfturbVx/a70jaq9m2U74vMHqbXq7VOj29Bjd5ej5hq0afGZ9vGKytUGedKEe2WOXW7fp31ug5VOEQ7d6c0VQ8avF3V6+alqjrz/I6izwdPNKi6j1Pv6+raZNFu9kt6vXktfdzPO16ur5g2eo1mhPX+fvuinv+LumwTfYIr9H5YVqKqQ2G5f8FttvXVQ4+nYWtAtGt3hF/V8z/VY80rKRLtguX6OLmydD0iQ6+15LwG0Se8qU7VP8zQ892rxw7RruPYTFUHluk+NSvkKT/g0/tYUq3nLjuo584bK59AxVM3qjpzsF4b63bJY9ZhgH7+fP+Y3p4TaaJddqJ+znQfrM8Dlev0HK/akin69DtSz1G4Xp9T5jsTRLuRbfQ6TMjR+9H4nFBXpudl43y9/o8M6mNZDnneXbNWj6lDmwpVl82T2257QwfQgWPP+0iyHpB5b8p6QOa9KesBmfctmfWAzHtT1gMy70XWPy/PDfa8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701ZD8jntinrAZn3pqz/3muJPm5b3puyHpB5n5nfdNYDMu9bMusBmfemrAdk3puyHpB5H0nWAzLvTVkPyLz/ypb1Hkv+G8+e95FkPSDz3pT1gMx7U9YDMu9bMusBmfemrAdk3puyHpB5H0nWAzLvTVkPyLw3ZT0g8z6SrAdk3puyHpB5b8p6QJ4TIsl6QOa9KesBmffNyfqo/iWciIiIiIiI6H8JL8KJiIiIiIiIWgkvwomIiIiIiIhaCS/CiYiIiIiIiFoJL8KJiIiIiIiIWgkvwomIiIiIiIhaCS/CiYiIiIiIiFoJL8KJiIiIiIiIWgkvwomIiIiIiIhaCS/CiYiIiIiIiFoJL8KJiIiIiIiIWklMtAdwIHzVkCZ+bjdzkaprymJVPXSMX9VT3kwXfa7ss0XVu36IU/W2bSmiXcGwSlWveS2o6s0NGaLdkNSdqq4q96r6bY9ftHv2d3obxTP1fd5ch6qr13lEnx+cCaoee1Jb3WdhtWiXGrJUnXdLvqp3vrhCtPtocZKqB6TUq7rI7dL709sh+sR01o/705M+Vfc81y3aWQH9e59wUamqu1wYJ9o54hJVvepZPW5/sW4zIKXU3gVrd+rj7q6LV/UxXXaIdpseX6NqV0xY1WUVqaJd9w56+942egxHr9fz0K9rEUw8J/dW9QcLysV9J67T+zs6Xq+h5LZ1ot3Sbdmqdjr1GBIy5bqpXtCg6uK6NqoeVrBV1T+tbCP6pDr1Y6Vf3kPVRX/fJtr1aNCPtW2tXv9dL5HHNlyu19s789rr7bn0uFOnym0XePTzMTlTr7X0XQHR7ow/6fWw9eXtqt60MFm0S8uoVfWunXqsJ56uj+VD37QVfe75k34ulM3UayPbWyvaxR7TRdU739qg6qQjXKLdss/0OoyBXl/OghNEu3DwS1U74vQ8vFOequqUMtEFlxbqddP/HH2OqlgkT+XFb+o1n9xOjyHOERTtvDn6eZy5Va+HujK9vYpar+jT6fp2qg78uF7fnlgl2jUs1E/W487X4w4U1Yh27jb6vu//q9e7C3rd5GfvEn2cyXp8oR16rQxyVop2DbW6Xf1avV4T0+Tzx1+j23UerPfjv1/pfe1hyfVQcKZe76s+1uuzx1VyvkIr1oIOHHveR5L1gMx7U9YDMu9NWQ/IvG/JrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT0g896U9YDM+0iy/tfx6W2stmW9x5b1gMx7U9YDMu8jyXrAnPf2rAdk3puyHpB535JZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmvSnrAZn3kWQ9IPPelPWAzHtT1gMy71sy6wGZ96asB2Tem7IekHkfSdYDMu9NWQ/IvDdlPSDzPpKsB2Tem7IekHlvynpA5n0kWQ/IvDdlPSDzvjlZz7+EExEREREREbUSXoQTERERERERtRJehBMRERERERG1El6EExEREREREbWSqF+ET548GZdffjnefPNNAMCrr76KHj16oHv37vjLX/6CYDC4jy0QERERERERHRqi+unof/vb3/DII4/g9NNPx80334xNmzbh0Ucfxc033wyn04lJkybB7XZjwoQJxm34/X74/fLTIwNWCG6Hy9CDiIiIDjXMeyIiOlxE9S/hL7/8Ml5++WW88847+PTTT3H33XfjySefxN13343x48fjn//8J15//fW9bmPixIlISUkR/82sXN5Ke0BEREStgXlPRESHi6hehG/btg39+vUDABx99NFwOp3o06ePuv/YY4/Ftm3bDL1/NX78ePh8PvHf6ck9D+SwiYiIqJUx74mI6HAR1Zejt23bFitWrEDHjh2xZs0ahEIhrFixAj17/hqqy5cvR3Z29l634fF44PF4xG18aRoREdHhhXlPRESHi6hehF966aW4/PLLMWrUKHzxxRe44447cNttt2Hnzp1wOBz4+9//jvPOOy+aQyQiIiIiIiJqMVG9CJ8wYQLi4uIwb948XHXVVbjrrrtw9NFH44477kBtbS3OPvtsPPDAA9EcIhEREREREVGLiepFuNPpxF/+8hdx20UXXYSLLrooSiMiIiIiIiIiOnCiehF+oHRtkN8t7krT7yHzJOivN6lbvFPVeQ1xok/NNj01tSFd5+eWi3bF3+v7Oh5doe/4UY5pV6Xefucj9eMOWpMh2pXP2a7qLaXpqk4uK1G1N1buX/faBlUHfynWNeS265wOVTfMWabq6gq578d69H44XZaqcwMhva11cgwx27aqukuBvr220QfXWiE9hoRe+nGr5u4S7ZzusKrTXXo/YhL0eLauShZ9kp0BVcfHBmCSc2ydqv0l+nG2lKeIdnXVsap2bdPrJi6s+5QVJYo+6W1rVB1culrVPf3yWHTKrlD16hJ9nC1LNEMHt97eDtsarS71inYJ6Xp8qTF6PVSVeJq8HQACAf1eyvqZP6va7UoV7cpCehv52Xr9W7vcol24Ws/5kES9xr+r0vue3q1e9Nm1MF7VvhK9f3GukGi34z9Fqq6p0e087kbr0KOPjdej7/Ot1G2G1oXtXRCcv0TVyS59zKv8saJdeJt+DsYm6m2HKkUzdO6i933HFr1Gw6t/EO3sz4WGX3Sf4xv052UmuOU6tnbq49xQpNexRz4VEJduG5/tsLsccoEFK/VcFNckqDo5XW87rtEc13+zGk3ZWSPPI+2T9dh3fqvr6sok0a5ttypVH5GrH6vGp9ddyU75PEst1/NVX67XcWm9HENm22pVW2E935blEO3s57n6LXpOMkN6HVqNPsbUt1Tflxivj0v9DzIjPEfK8wq1LHveR5L1gMx7U9YDMu+NWQ+IvG/JrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT0g896U9YDM+0iyHpB5n/obsx6QeR9J1gMy701ZD8i8N2U9IPO+JbO+8X2mrAdk3puyHpB5H0nWAzLvTVkPyLw3ZT0g8z6SrAdk3puyHpB5b8p6QOZ9S2Y9IPPelPWAzHtT1gMy7yPJekDmvSnrAZn3pqwHZN5HkvWAzHtT1gMy701ZD8i8jyTrAZn3pqwHZN43J+uj+unoRERERERERP9LeBFORERERERE1Ep4EU5ERERERETUSngRTkRERERERNRKeBFORERERERE1Ep4EU5ERERERETUSngRTkRERERERNRKeBFORERERERE1Ep4EU5ERERERETUSngRTkRERERERNRKeBFORERERERE1Epioj2AA2GRV+7WCYGQqivL4lTdfrBX1atXy22c3kn3cW8Jq3pdUbpod+ypZare8E2qqheHk0S7gYnlqt5VlKDqb121ot0lJ3hU3QW6T2xbvU/1K+T+LfDGqvr4zm10H/hFu+SQ/p1L7NA+qs4qXyzavbu8g6pPit2p6k1ul6qHnijnweHRY1jxb/243c8PinZosP3sdOixndpWbi9OH5tNvzSoun25HkO3LjtFn8Ub9L5X17tV3aHBJ9rtWK7XQEyMPs4pbjlfHq8ea0JHS9X+TXrcWR2qRB+nW7eLOaa3qud/ViraOUozVd05Tm8jI6dGtPt4SztV1+spxvGd60W7+jI9L2FLjy8xU+/T+p1pok+yS28j7twT9bh/XC7aJTn0PJTuSFR1ett40c6Zrff9v9/qNbo8Rq/xIeu8ok+MSz+3kjL0eDb7kkW7o27po+qSu9eq2usJiHaBOj0PpZV6fEcP1cf50zLRBYPPPEPV9W99rer0ODnHjgw9f74dek1mdK0T7datz0BTXMeeLn62wrNU7TlOP+e+XarbdG3wwK57ht4nTzd9bH3zqkW7qp16npMz9fgqwm7RLiZZnxOy4vRxaqjVx68h6BJ94kbrtRKc/6Oqs1Pl2g3s0OPLPDVV1alFlaKdq40+1j8tjUNT2qfLPu4c3S4eev/al8vnY22lftL4beeEtl3l9pwuvXY9Wfr2Xev0vreFZe+ClKP03JV9rrcdN7SbaBculucpaln2vI8k6wGZ96asB4ANRfo53+dUfRztWQ/IvG/JrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT3QKO8NWQ/IvI8k6wGZ96asB2Tem7IekHkfSdYDMu9NWQ/IvDdlPSDzviWzHpB5b8p6QOa9KesBmfeRZD0g896U9YDMe1PWAzLvI8l6QOa9KesBmfemrAdk3rdk1gMy701ZD8i8N2U9IPM+kqwHZN6bsh6QeW/KekDmfSRZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmfXOyPuoX4Q0NDZg+fTrmzZuHHTt2AADatm2LAQMGYNSoUYiNjd3HFoiIiIiIiIgODVF9OfratWtRUFCAMWPGYMmSJQiHwwiHw1iyZAkuv/xy9OzZE2vXrt33hoiIiIiIiIgOAVH9S/gf//hH9O7dG0uWLEFysnz5aWVlJS6//HJcf/31+Oyzz6I0QiIiIiIiIqKWE9WL8Llz52LBggV7XIADQHJyMh544AEcf/zxURgZERERERERUcuL6kV4amoqNm7ciF69ejV5/8aNG5GamrrXbfj9fvj98kMLglYIMQ6XoQcREREdapj3RER0uIjqe8KvvPJKXH755Zg0aRJ++uknFBcXo7i4GD/99BMmTZqEsWPH4uqrr97rNiZOnIiUlBTx31e+5XvtQ0RERIcW5j0RER0uovqX8Pvvvx8JCQl49NFHceutt8Lh+PXrFizLQtu2bXHnnXfijjvu2Os2xo8fj1tuuUXc9mSvaw7YmImIiKj1Me+JiOhwEfWvKLvzzjtx5513YsOGDeIryjp37hxRf4/HA49HfpcuX5pGRER0eGHeExHR4SKqL0e369y5M0488USceOKJ6gJ8y5YtuOKKK6I8MiIiIiIiIqKWcdBchDelvLwcU6dOjfYwiIiIiIiIiFpEVF+OPmPGjL3ev379+lYaCREREREREdGBF9WL8NGjR8PhcMCyLGOb3R/Wtj+6NcjtVS4Lqdqy3KpuWL1T1V0CHUSfULXeRk56lb49LF88ULlKj69dfoWqfStiRbtgUPdLzapVtbc4QbSz/EFV19fosaa3jVN1oNEY+tTrPg1Ldqg6jGzRLtYK68fZUaLqkrWJol3boG7ncuq6TVDPiTMrXfQJLN+oam+sHqtV1yDaOdy29++F9fZKp5eJdkm5ul+tUx8bv21O7HMKAG7bOiroWKrqmmK5zMMhfczSjqxXdclCOQ9VPq+qU8J6DeSG9dj81XLboYAeU0KZXl8D6uWaDEGPobZB71NaUK731JDuF2vbv/oy+T7Ihlr9c047n6ordsSrul1Ctejj8ep1E169TtVOpxxrvaW33SFdr12rUrZr2KAft099jqpjPHoMDoccQ3aunted2/Vzof9JxaJdzdvbVZ3gSW5yHwC5bhJ2BlRdu1J/rdGgerluQp/NtP2k32+amlkr2gVX659jPXobdSXyWFTazjFHZpTrx1m/WLQL1Ol+lq9G1R0Deh66uuV8hUv1eq1eWKnq+PaiGVxuPVb72vC55FhdWfq5Wlqnj1OnRD2P9nMAAIS3bNXjDuhzq79evlfX3Vb/XL+8QrerkGOI2aH34+j+ut78Y6qqf6rIEH1SfilStf0twa4YOdaUNnq+Knbo51bdLvm8dbr0WnZl6nN3nO0c1a6TT/SpWx+y/aTnru7rNaKd46B+vdmhz573kWQ9IPPelPWAzHtT1gMy739z1reLF+0CYf24pqwHZN6bsh4AdqxJUnUkWQ/IvDdlPSDz3pT1gMz7SLIekPNqynpA5r0p6wGZ96asbx+WX4dnz3tT1gMy701ZD8i8b8msB2Tem7IekHlvynpA5n0kWQ/IvDdlPSDz3pT1jfcjkqwHZN6bsh6QeW/KekDmfUtmPSDz3pT1gMx7U9YDMu8jyXpAngdMWQ/IvDdlPSDzPpKsB2Tem7IekHlvynpA5n0kWQ/IvDdlPSDzvjlZH9V/HuTk5OC9995DOBxu8r/FixfveyNEREREREREh4ioXoT37dsXixYtMt6/r7+SExERERERER1Kovpy9Ntvvx01NTXG+7t27YrZs2e34oiIiIiIiIiIDpyoXoQPHjx4r/cnJCSgsLCwlUZDREREREREdGDxI2OIiIiIiIiIWgkvwomIiIiIiIhaCS/CiYiIiIiIiFoJL8KJiIiIiIiIWgkvwomIiIiIiIhaCS/CiYiIiIiIiFoJL8KJiIiIiIiIWklUvyf8QNnlcoifE9qHVV22Q++yK1nX9Y1+HRGTrG/Y5YtXtccdFO0yu9WqetuyZFWXOmNFuzauGlVbYT2+RLhEO6shpOpYj6XqcHm1qt3ORNFnu1Pvh7tziqpD38p5sB9sR5xH1RkdakS7n1elqjoY1OML2jZn7fKJPq6MBFUHbFNk1cr5sqB/dqbFqTr9uJBo50jQc+lYqm93uvSxjPPKbSf7AqreWaLH06ZDlWgX69H9Kjfr4xTX6Nh6vHp7Tq+ehypLz2SMJyz6uNz6Z0e83r9N7jrRrm1QH9vkOH+T/QHA/tMWt16TJ8bL+QoF9MHx7dTrNTVTr8+iohTRxx2rt+FI1msqHK4X7eIcel52lettZ8fJNR6T7VX1jhg9R6VOOVY7X4meo1jbeDbPl2u865/aqLpiSYWqk1LkWGuK9ePGuvX24vL17es3yie7M7+j7uPcruraSo9ol57lVnU4pI9n4zVgV1trmyOHfFx3nG3+0/V6r3Lp24OhRmPNSFO1N6dcP84W+bh1lfpx3bbniSdsiXZhn157Xoc+tg1+vd7rgjIm7OvaCup9tx8/AGjYqrcdk663F26Q7eKO1I+77Ut9uztGt+sQlM+f+F66T6DIdv7aJpqhdpc+ZqGAnktvSqPzUkg/f8KVDap2WXq+SrfJNdlpgD6vuDfpsbqz5fMCMfxd94Fkz/tIsh6QeW/KekDmvSnrAZn3vznry2Re2fPelPWAzHtT1gNAVkf9b4nlq/Q2TFkPyLw3ZT0g896U9YDM+0iyHpB5b8p6QOa9KesBmfemrK+03KKP/VxvynpA5r0p6xtvoyWzHpB5b8p6QOa9KesBmfctmfWAzHtT1gMy7yPJekDmvSnrAZn3pqwHzHn/W7MekHlvynpA5r0p6wGZ95FkPSDz3pT1gDyGpqwHZN7bs75oll7H9qwHZN4bsx4QeW/KekDmfSRZD8i8N2U90Cjvm5H1B8W/DrZu3Yrq6uo9bg8EApgzZ04URkRERERERETU8qJ6Eb59+3b0798feXl5SE1NxeWXXy4uxsvLyzF06NAojpCIiIiIiIio5UT1Ivyuu+6C0+nE/Pnz8emnn2LFihUYOnQodu3apdpYjV4iQERERERERHSoiupF+KxZs/DUU0+hX79+OPXUUzF37lzk5OTg5JNPRnn5r++BcDgc+9gKERERERER0aEhqhfhPp8PaWn6wwc8Hg/ee+89dOrUCUOHDkVJSck+t+H3+1FZWSn+C1jmD4cgIiKiQw/znoiIDhdRvQjv0qULfvrpJ3FbTEwMpk2bhi5duuCss87a5zYmTpyIlJQU8d8nVcsP1JCJiIgoCpj3RER0uIjqRfjw4cPx/PPP73H77gvxPn367PM94ePHj4fP5xP/DU/qeaCGTERERFHAvCciosNFVL8n/O9//ztqa2ubvC8mJgbvvvsuioqK9roNj8cDj0d+D6bb4TK0JiIiokMR856IiA4XUf1LeExMDJKTk433b9++HRMmTGjFEREREREREREdOFG9CN+X8vJyTJ06NdrDICIiIiIiImoRUX05+owZM/Z6//r161tpJEREREREREQHXlQvwkePHg2Hw7HXD19rzveEdwgE5TZi9TZiY/TXmVSv1o+b06hP/XZ9X2lQvwetT16FaLd+cbqqO/UoV3XNcrdoFwjo960ltNOPddpmOfbSH/Qhqa7Rj5uw2adqb6wc6xF19ar2r9Ljc6KtaFcPPQ/1365T9a5tCaJdvqtG1Q0NetydUafqusU7RZ9AlX5RRdsO+vaK5fL9ei53WNUpx+vbfUvl18zEeKpV3SEYr+rYeN2ueGuS6JPoaVC1xyvnyC6jp1/VdUV6TmqL5TGLj9fbq9+iHzfNqW8v3ZYo+rTpUKXqhvlrVd0+kCPatY/Rn4WwqyZO1TG75Dy0t/RYgyGvHvcuOdYan14r8Ql6fIF6Pf+J3gbRJxTQx6z8vU26f7zcdnmdftzkJL3Wwr6AaBeu1j+fmKTXh682Q9UpnfyiT+VPetv+Or32PW55/Gq/WKNqC9kwCQf1Pnm9ejyhCl0f45fjbvhuhaozUvQ8llXI50Xb7fr57XTpebXPIwAcmaHbeRL0flhLFoh2VlivveCKrao+3qHXVPseFaJPuLTp82FMXFj+XK/XUUOtnlevJdsFy/X4ShGr6nTo9elyyPOzfV2HavX2fNXyrUUZQX0e2fa9XuNhS+5Dbrp+rmcdqR8r4NPttq6U57KwT58Pa7fpY1FZ5RXt2nepUHV9rV7XVsicKzUb9X1tHXq9BoLyXLbzZz1fqVl6viqXye0lduVXaB1I9ryPJOsBmfemrAdk3puyHpB535JZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmvcj6E+XzzZ73kWQ9IPP+t2Y9IPM+kqwHZN6bsh6QeW/KekDmfUtmPSDz3pT1gMx7U9YDMu8jyXpA5r0p6wGZ9y2Z9YDMe1PWAzLvTVkPyLlsyawHZN6bsh6QeW/KekDmfSRZD8i8N2U9IPPelPWAzHt71mcXNJ31gMx7U9YDMu9NWQ+Y896U9YDMe1PWAzLvm5P1UX05ek5ODt577z2Ew+Em/1u8eHE0h0dERERERETUoqJ6Ed63b18sWrTIeP++/kpOREREREREdCiJ6svRb7/9dtTU1Bjv79q1K2bPnt2KIyIiIiIiIiI6cKJ6ET548OC93p+QkIDCwsJWGg0RERERERHRgXVQf0UZERERERER0eGEF+FERERERERErYQX4URERERERESthBfhRERERERERK2EF+FERERERERErYQX4URERERERESthBfhRERERERERK0kqt8TfqAs9crdOjFW/66hotar6va9AqreskX2GdjZpeqMtQ2qLt+RINrl9y9X9caFqareFvaKdkc49TZ8G2NV/WWcQ7QbfLq+zzW7TtXubD2emuVu0edHt36sPn3aqDr2h5Bo57AsVXvPPFbVyaVLRbslG9NUXWBVqXq1I17VvfvJ+fLW67lcPy2o6ryhdaJdsESPKVxVr+q0k5JhElqj56hqp97XjKwa0W5DkR53rD+s6tScWtGufKXehsOh5yTGGRbtYj16P7x5ev4rV+r5z2u3S/QJh/RYY0/spuq18+RYXQ1xqu7VpkzVTpcl2pXu0uuhzDbliTkB0c7h1P3Wb0lXdZcOen3W7IwVfTJS9ZjSL8xX9eoni+VYbXNUWaXnLiczXrSzAvrYfludoeqfY/RxrtggnxfhsG2+YnT/+oBcX/Hn6PUa//MGVTf4XaJdQqp+nu0oSVJ1m1zd7ptG54cB552u6l2zF+g+6VWiXUy7FFW7Vleq2h0vn2dbNqXqsdbq45TZp5/c3mdr9Pba62P2BfTaOOYnOV8nDNZjd9qOX8NGuR6qKnS/1Cy9/mN2imaISdfb6+Sp1uOJ0c+FurCcr9hBBar2f7VC1fEeOQanbegdz/Ooun6pHIQrXTfc+Jleo2FLr412cfL544jXY/Km284jNfJ8U7FDr9H4JL02wkF53rU/fxI66nrxVn0sjg3KbWf01NtbO1evje4Xy22HK+TYqWXZ8z6SrAdk3puyHpB5b8p6QOZ9S2Y9IPPelPWAzHtT1gMy7yPJekDmvSnrAZn3Iut98rljyntT1gMy701ZD8i8N2U9IPM+kqwHZN6bsh6QeW/KekDmfUtmPSDz3pT1gMx7U9YDMu8jyXpA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu9NWQ/IvG/JrAdk3puyHpB5b8p6QOZ9JFkPyLwXWT9nhWhnz3tT1gMy7yPJekDmvSnrAZn3pqwHZN5HkvWAzHtT1gMy75uT9QflX8K7dOmCNWvW7LshERERERER0SEkqn8Jf+qpp5q8ffPmzXjppZfQtm1bAMCNN97YmsMiIiIiIiIiOiCiehF+0003ITc3FzExchjhcBivvPIK3G43HA4HL8KJiIiIiIjosBDVi/Crr74a8+fPx+uvv46CAv3eA7fbjZkzZ6JHjx5RHB0RERERERFRy4rqe8Kfe+453HPPPRg2bBgmT54czaEQERERERERHXBR/3T0c845B/3798fll1+Ojz76CC+99NJ+9ff7/fD7/eK2oBVCjMNl6EFERESHGuY9EREdLg6KT0fPzc3FrFmzMGTIEBxzzDGwLGvfnf6/iRMnIiUlRfz3lW/5ARwtERERtTbmPRERHS4OiotwAHA4HBg/fjw+/PBDPP7448jJyYmo3/jx4+Hz+cR/J6X0PMCjJSIiotbEvCciosNF1F+O3ljfvn3Rt29fAMCWLVtw77334sUXXzS293g88Hjkl8PzpWlERESHF+Y9EREdLg6av4Q3pby8HFOnTo32MIiIiIiIiIhaRFT/Ej5jxoy93r9+/fpWGgkRERERERHRgRfVi/DRo0fD4XDs9YPYHA5HK46IiIiIiIiI6MCJ6kV4Tk4OpkyZglGjRjV5/9KlS9X7w/dHAxpd1Id16XTo+5zpiaqub/zCfFsftyuk6ur6WNHMldj0FPpccoOxnmCT7Yot+XUrDrfensttG0RQjztsyV9MVNofyqXfH2c1moca23vnHLb31bkTwqJdpVNvPy4uoOrqGt3GCobsXeBI8KraH6hXtTPJK9q5GuRjqf7pyfKGkG3OHbqPfR6dLrl/9dD7Fw7rfXDJQ4YGv27nduvHiY1ptE+2abbq9Rh8Tt0/xiv72B/LkZSk6lpHtWgXht64fT/EMQdQ7XTa+pi5vU3fGxOrb68OucV9SX691hxpaaoOhkpFO/vyEr8Ti5HvxXSmJujHsnUK2dahv04+X5xOfZ8nVh/b2gY5VkeSXh+hsN54sEGOIRzUAwyEm363Ta2j0Vwlp6uyPmR7jjTq7vDqMdl/b+hsdApoCOttxNrWsbNtvmhn2YbhsM2l33aOKm+0cUecft463PaxBmASCugdqWu0U1ZYP5ZlO6/Yz5NeR6PnRXy8bpesxxcKy/OS02v72XZOcTR6Ptr3o8523P22eUyPrzP2sWyn1lDI/EtbyzY+Z4w8d4Qa7GPVZcB2c6jRedcRr8dQGdA75UiSa/egfs/XYUDkfQRZDzTKe0PWAzLvTVkPyLxvTtaLLAvKtWnPe1PWAzLvTVkPyLyPJOsBmfemrAdk3puyHmiU9xFkPSDnyJT1gMxgU9YDMu8jyXpA5r0p6wGZ96asB2Tet2TWAzLvTVkPyLw3Zj0g8j6SrAdk3puyHpB5b8p6QOZ9JFkPNMp7Q9YDMu9NWQ/IvDdmfXZn0SeSrAdk3puy/texNp339qwHZN5HkvWAzHuR9Y3Of/a8N2U9IPM+kqwHZN6bsh4w573V+N8itryPJOsBmfemrAdk3jcn66P674O+ffti0aJFxvv39VdyIiIiIiIiokNJVP8Sfvvtt6OmpsZ4f9euXTF79uxWHBERERERERHRgRPVi/DBgwfv9f6EhAQUFha20miIiIiIiIiIDiy+XY2IiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiVxER7AAfCMf6w+NkKW6qOdYVUXTW3UtUF/ljRp35rUNU7GuL0trsVi3bLPs9QdbeepaquWe4W7UJB/fuOjK51qr50h3zc8tl6G2XFiar2plSoOs4dtHfBQH+9qmvn6v4OZIl2LkvPQ930eaouXpck2vUJ1+p2dXo/+gT1uOsXl4k+9RUuVefm6ccp/9Yl2oUCesllnqBvr/5sk9xepW6X60xWtcOpt72zJEH0yY2v0e0cul3I7xDt2h6l9y9QodsVL5fz4KnSxyZ2i57zPIeeh6K1qXIMXStUXffhD6o+2p8r2nX2Vqm6qsKr6pgYuXa7WPqxENTrsHq7XF81Po+qMxN0n1BAr7ucxGrRJxTW95VNWaTqtFR5WthRpuclK0ePO7ytQbQLlurHPTNRHwt/jV6HGR3lurHP35ZKfZyzPHWiXd2bX6naQgZMbEscGbZ5aNikx3NGXaK9CwKvT1N1m2Q9r6Xlcn2lLrU/9/UcNVTJ32W2z/Kp2pOo103okzfk49bq50b9Yr3tM5Gi6pwjK0Wf4Fp9nK1ave0Yb0i0i/Xo+/x1eqxuS66vUIXut7UhXtX5fnmOsfPP1GuloUxvr6LeI9p1qNcHY8Obeq2EwimiXccYPV/djtfHqWGnft4uXtVW9Mkt3qHqXVv186LBL9duelu9vbpK/XxuNA1C9Xr9uEf79bi9MXKOS+fr49cuRT+3fJ/KtRuXY4EOHHveR5L1gMx7e9aX2LIeAI625b0p6wGZ983J+p2l+pwUl1Yh2tnz3pT1gMx7U9YDMu8jyXpA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu9NWQ/IvI8k6wGZV6asB2Tem7IekHnfklkPyLw3ZT0g896U9YDM+0iyHpB5b8p6QOZ9S2Y9IPPelPWAzHtT1gMy741Z/9lbok8kWQ/IvDdlPSDz3pT1gMz7lsx6QOa9KesBmfeRZD0g896U9YDMe1PWA+a8N2U9IPPelPWAzPvmZH1U/xK+detWlJXpJ+k333yDSy+9FIMHD8bvf/97zJs3by+9iYiIiIiIiA4tUb0I/93vfofvv/8eAPD+++/jpJNOQnV1NQYOHIja2loUFhbiww8/jOYQiYiIiIiIiFpMVF+Ovnz5cvTs2RMAMHHiRDz44IO488471f2TJ0/GPffcg7POOitaQyQiIiIiIiJqMVH9S3hMTAyqqn5938mGDRswfPhwcf/w4cOxatWqaAyNiIiIiIiIqMVF9SK8sLAQb7zx64cVHXPMMfjqq6/E/bNnz0Zubm4TPTW/34/KykrxX8AK7bUPERERHVqY90REdLiI6svRH3roIQwePBjbtm3DoEGDcPfdd+OHH35AQUEBVq1ahbfeegvPPffcXrcxceJETJgwQdx2UUJPXJLY+0AOnYiIiFoR856IiA4XUf1LeEFBAebPn4+GhgY88sgjqKmpwWuvvYb77rsPa9euxZtvvomxY8fudRvjx4+Hz+cT/52f0KN1doCIiIhaBfOeiIgOF1H/nvD8/Hy88cYbsCwLJSUlCIfDyMzMhNvt3ndnAB6PBx6P/H5at8NlaE1ERESHIuY9EREdLqL6l3A7h8OBNm3aICcnR12Ab9myBVdccUWUR0ZERERERETUMg6ai/CmlJeXY+rUqdEeBhEREREREVGLiOrL0WfMmLHX+9evX99KIyEiIiIiIiI68KJ6ET569Gg4HA5YlmVs43A49nu7fkejP/AH9fZ3NXhV3TGhQtU+p3xfmb9KT03b2DpV11fJKWvfTm+jbGOiqte6vKJdRlhvo65EP9Z3cfJx+2UEVd2pg952fbHep2J/nOizJlaPqU++vs/5s2iGFIfetqd/J73tH3yi3VrEq/rkDkWqnr82R9W98+NFn1i/3vamL/W+Z3eqhIkjLkmPJzco7qvYoT8TYGcoVtUdk3S7+lrZZ31liqq7Z5XrdpXymG1bn6Dq3G4VejwOuQ4r6/R7D9u2qVa1a5Nl6yO6IFCrj2f8kXrca2Mbrcl6ve/dU3ep2hsfEM0afHqsxba3QrrcYdEubOmBJKfrtZZ0hB7rulnymGXE16s65Vg9Rz+/nyTaxcfqMZUX6/Gkxst98vRrq+qSb/Vx/8RVrOpR2+UYQmG9jY4puk9ppWwX01Y+n3ZzuuQx86boNbFqi34+pvtqVL0pJlb0OeGofFVbX21RdUpCvWjn6abXl7udX9Ul38gxub36K5O2bEpVdeZZl4l2cd/dp+rSlXp/K/36QNeuyhB9CjJ2qjr22I6qdmzbJNqltNFjL1qnx21BLtiYdH3cE2xf9eSJ0/MYUyfXWmy/zvq+Yj2e7oFS0a5qi57n3D762AYbnRKc8bZzoO1cXefTY+sQXwMTb4Jen85Gz+HkAcmqLplmzpmEdH08U0d1UvX0Z2tVPTYk5yGzd4Oqv/lar/2TTm703KyTz2lqWSLvI8h6QOa9PeuzbVkPyLw3ZT0g874lsx6QeW/KekDmvSnrAZn3kWQ9IPPelPWAOe/tWQ/IvI8k6wGZ96asB2Tem7IekHkfSdb/2kfXpqwHGuW9IesBmfctmfWAzHtT1gMy701ZD8i8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701ZD8i8N2U9IPO+JbMekHlvynpA5r0p6wGZ95FkPSDz3pT1gMx7U9YDMu8jyXrAnPf2rAdk3rdk1gMy701ZD8i8b07WN+vl6DU1NfjrX/+KAQMGoGvXrujSpYv4L1I5OTl47733EA6Hm/xv8eLFzRkeERERERER0UGpWX8Jv/LKK/H111/jsssuQ05OTrP+Wg0Affv2xaJFizBq1Kgm79/XX8mJiIiIiIiIDiXNugj/5JNP8NFHH2HgwIG/6cFvv/121NSYX2bYtWtXzJ49+zc9BhEREREREdHBolkX4WlpaUhPT//NDz548OC93p+QkIDCwsLf/DhEREREREREB4NmvSf8gQcewD333IPa2tp9NyYiIiIiIiIiAM38S/jjjz+OdevWoU2bNujUqRPcbre4nx+oRkRERERERLSnZl2Ejx49uoWHQURERERERHT4a9ZF+L333tvS4yAiIiIiIiI67DXrIny3RYsWYeXKlQCAnj174phjjmmRQREREREREREdjpp1EV5SUoKLLroIX331FVJTUwEAFRUVGDp0KN58801kZWW15BiJiIiIiIiIDgvN+nT0G264AVVVVVi+fDnKy8tRXl6OZcuWobKyEjfeeGNLj5GIiIiIiIjosNCsv4R/+umnmDVrFgoKCtRtPXr0wDPPPIPTTz+9xQbXXG7LEj87U2NV7YC+LybTpWq/wyH6xKUFdZ8SfXvFrnjRrl1+haprq/TjxMohwOHUN9T4PKoOQDZ06E2gcoP+IWOAPlTtttWIPutDKfqHGP17lXLIT61PR0D/EAqpMqdDpWi3bmOCqsMhPS9h+zgTvKIPYvS2A0E9BmejFRYO6O0Ft1erOrZnjmiXWblN1ZsW6P2zbIPwxgfsXRBbqe9s8Otj60mQ7eK8+uddRfp4xrmDol1qmv4KPqdX71NJUO97rzalok9Drd5hZ1ayvl0uL8TZdsTl1HVCVqN92q7vy9KHDC63XDcpGXWqDjbosdZv0dtrgEv0sT+uMz1R1QFLDtbh0I+VmOTXt8eni3bh4p2q3mHp7R0Vk6Fqt7tc9EnwNuj+trUW6wyLds4kPeexLj0RjZ7qqPfp+a936HlweXTDHXs56+2qiVN1Sny9uC+0Uz/v/Fv1WknNk9vY+HOaqmNs+xEu3iDaVW/RA8nsptfawkV6vjJCck3G5Op5DW0u1rVf/j61oljvR3a7KlXXb5Y7bwXlPO/m9urHDTVaD5ZfH7PAJp+qa8o9op19G65k/bj28y4AhKv1Gt25XJ/zAg2ynZ0jRo/Jfq6uLI8T7WoWVegxOPXzMS65QbSLidPrI1Skn9PdQ6m6jUt+Jae/RM+d1/Z8dqTIjLB27WpyH6hl2PM+kqwHZN6bsh6QeW/KekDmfUtmPSDz3pT1gMx7U9YDMu8jyXqgUd4bsh6QeW/KekDmfSRZD8i8N2U9IPPelPWAzPtIsh6QeW/KekDmvSnrAZn3LZn1gMx7U9YDMu9NWQ/IvI8k6wGZ96asB2Tem7IekHkfSdYD5ry3Zz0g896U9YDM+5bMekDmvSnrAZn3pqwHZN5HkvWAzHtT1gMy701ZD8hzb0tmPSDz3pT1gMz7SLIekHlvynpA5n1zsr5ZfwkPh8N7fC0ZALjdboTDTR9okw8//BD33HMP5s6dCwD48ssvMWLECJxxxhl4/vnnmzM8IiIiIiIiooNSsy7CTz75ZPz5z3/Gtm36N5hFRUW4+eabccopp0S8nX/+858455xz8PHHH2PEiBH4z3/+g9GjRyM3NxedOnXCTTfdhCeffLI5QyQiIiIiIiI66DTrInzy5MmorKxEp06dkJ+fj/z8fHTu3BmVlZV4+umnI97OU089hSlTpmDhwoWYPn06rrrqKjz00EN44YUX8Nxzz2HKlCn45z//2ZwhEhERERERER10mvWe8A4dOmDx4sWYNWsWfvnlFwBAQUEBTj311P3azoYNGzBs2DAAwNChQxEKhTBkyBB1/0knnYTrr7++OUMkIiIiIiIiOug0+3vCHQ4HTjvtNJx22mnNfvCMjAxs2rQJHTt2xLZt2xAMBrF582b06tULALBp0yakp6fvdRt+vx9+v/wAiYAVgtthfqM/ERERHVqY90REdLiI+CL8qaeewtVXXw2v14unnnpqr20j/ZqyUaNG4Q9/+APGjBmDGTNm4PLLL8ett94Kp9MJh8OB22+/fZ+ftj5x4kRMmDBB3HZhQi9cnNg7ojEQERHRwY95T0REh4uIL8InTZqESy+9FF6vF5MmTTK2czgcEV+EP/zww2hoaMCbb76JAQMG4Omnn8ZTTz2FUaNGIRAIoLCwEBMnTtzrNsaPH49bbrlF3Daz21URPT4REREdGpj3RER0uIj4InzDhg1N1r9FQkLCHl9Ddtttt+FPf/oTAoEAkpKS9rkNj8cDj6fR99PypWlERESHFeY9EREdLpr16ej3338/amtr97i9rq4O999//28elNfrRVJSErZs2YIrrrjiN2+PiIiIiIiI6GDQrIvwCRMmoLq6eo/ba2tr93i/1m9RXl6OqVOnttj2iIiIiIiIiKKpWZ+OblkWHA7HHrf/+OOP+/w0c7sZM2bs9f7169fv99iIiIiIiIiIDlb7dRGelpYGh8MBh8OBI444QlyIh0IhVFdX49prr414e6NHj4bD4YBlWcY2TV3s78v6WPkH/lMzk1XdMcOn6kBJyLiN2p1uVb/ijFP1A+fKl+GPnuZV9QcP9VV1wqTvRLsFRW1VfebLJ6r6hDGy3Tc/5Kq6R1q5qou/Cuu6Ll70uaDPFlUvfy9D1V2TfKLd4wHd76/v7VD1e2XtRLtRmSWqLinS78v32I7TstfkcakMJar6hNG7VL3igwzRLsap96P7cXobRW/tEu0+q+6g6mHpZaquKNb7MDWULPp0cev3BvY7Sh+nQIVcX52mXK3q0Huv6e29It9r2LtYr4ENO/SaioNeN9PL2oo+V5yr57x+abGqvVYH0a7fgO2qXj4vS9Xf+rJEu0FppapeWqXXYUOtfB/kuiL9y6+eBfr47dqm56t3t2LR5+ONeq29+7qeo5surhTt3n87RdWD3XpeXcNHiXbBGe+o+oxb9fPipaf1eJLbya8XKl+ux/dmjN6/m/PkWD99LUfV7R11qt5RGSfaFcTvRFNikvVaG9uhSNxn7dLHMMmrx1dWI7fdPqj33dtV759/fb1o1/OBI1QdXqs/P8Navli0S+wQVPUn8/X6OOs0vTZCFUHRp8H2cRzeY/ScJCXI81J8aY2q53zeRtWb3HLddCnSx/2LOB0H6aUJqu7YUT43a2br52NsW72916oyRbtbhusxvfCW3l7js+75mfpc1P59/Uoq/4N/VfXfvkgRfe7tprf377l63F0bwqJd/k1DVB1+9BNVe7JkO3cHfZ4rnhVQ9TaXbrelLlH0+WmVHtOAbL3Gi96Xc5yRJx+LWpY971sy6wGZ96asB2Tet2TWAzLvTVkPyLw3ZT0g8z6SrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT0g896U9QDwki3vj44g6wGZ96asB4BYW96bsh6Qed+SWQ/IvDdlPSDz3pT1gMz7SLIekHlvz/rXY7yi3a15up8p6wGZ95FkPSDz3pT1gMx7U9YDMu9bMusBmfemrAdk3puyHpB5H0nWAzLvTVkPyLw3ZT0ABGyH48KMfWc9IPPelPWAzHtT1gMy7yPJekDmvSnrAZn3zcn6/boIf+KJJ2BZFq644gpMmDABKSl6YLGxsejUqRNOPPHEvWxBysnJwZQpUzBq1Kgm71+6dCn69u3b5H1EREREREREh5r9uggfM2YMAKBz584YMGAA3G73PnrsXd++fbFo0SLjRfi+/kpOREREREREdCiJ+CK8srISycm/vhzomGOOQV1dHerq6ppsu7vdvtx+++2oqakx3t+1a1fMnj070iESERERERERHdQivghPS0vD9u3bkZ2djdTU1Cbfq737A9tCIfP7r+wGDx681/sTEhJQWFgY6RCJiIiIiIiIDmoRX4R/+eWX6pPP+ddpIiIiIiIiov0X8UW4/S/S/Os0ERERERER0f5z7rvJnj799FN8++236udnnnkGffr0wSWXXIJdu3btpScRERERERHR/65mXYTffvvtqKz89bsFf/75Z9xyyy0YMWIENmzYgFtuuaVFB0hERERERER0uNivryjbbcOGDejRowcA4N1338XZZ5+NBx98EIsXL8aIESNadIBEREREREREh4tm/SU8NjYWtbW1AIBZs2bh9NNPBwCkp6erv5ATERERERERkdSsv4QPGjQIt9xyCwYOHIgFCxbgrbfeAgCsXr0a7du3b9EBEhERERERER0umnURPnnyZFx33XV455138OyzzyI3NxcA8Mknn+CMM87Y7+0tWLAA8+bNw44dOwAAbdu2xYknnoj+/fs3Z3g4yh8QPwe36Q+Lq62NU7W3UrdrH/KLPp7EoKov3NGg6vI5NaLdU7FeVde9PUfV27dliHZdYqp1u+emqTqEXNGuT1aZqqurPKpu06lK1am+BtFn6y8pqs7vuVPV65fLMZwCvb3kznr/hleXi3YVFXqOMrL0/hYX6dvtjwMA4YD+3njfYpeqc3N9op0zxtJ9ynW75Cx5zM5J3qbq7Vv1/mW30fNwSpEl+rigt1G7Tb/Io77KLdp5pzyj263RfYa4E2W7pECT9YqN2ao+2SX3zzdPz1fyUXq+834Ii3ZFS5P1tl0hVffzVIh21TV6G20DehtOl9z39un6FSjVZbpPrEcf5+ItSaJPQahO1adm6/0o+jhWtOuKWlX76/QpI/TJ+6IdAvqxdryyVdXnhrJtjapgF+PS+3RpWD9O8VY51qNS9XqrrdXjO6pDhWjnjtPbc+3QcxSq1vWKNW1En+MH6+dTKKzXTXZirWjnjNf7Hiyp13WdfEFR7XvzVV22Jl7VHW6Qj1tfrPudVrBF1cs+y1J1m3Q5X9kD9X7U/bBd1WF5SoDDNqQjUitUnVKRaGx3Rr3eSHp7vY4rSuPtXZCTaRtTWI+nX31ItKtfps8rI+L1fLndsp03RT+36u+/W9W+5bpNYR2EwLoSVZ/p1efgIr9cN3UvfqRqy3Zsa7bK6Iut0PsUazvOBRW6jxfyHHW0R5/T7efqdkfKV4PFpDbrBWcUIXveR5L1gMx7U9YDMu9NWQ/IvG/JrAdk3puyHpB5b8p6QOZ9JFnf+LFMWQ/IvDdlPSDzPpKsB2Tem7IekHlvynoAOMmW95FkPSDz3pT1ANDZlvemrAdk3rdk1gMy701ZD8i8N2U90CjvI8p6wJ739qy/LCxP6Pa8N2U9IPM+kqwHZN6bsh6QeW/KekDmfUtmPSDz3pT1gMx7U9YDMu8jyXpA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu9NWQ/IvI8k6wGZ96asB2TeNyfrm3UR3rFjR3z44Yd73D5p0qT92k5JSQl+97vfYe7cuejYsSPatPl14RYXF+Pmm2/GwIED8e677yI7u/ETm4iIiIiIiOjQ06yLcAAIhUKYPn06Vq5cCQDo2bMnRo4cCZfLtY+e2nXXXYdQKISVK1fiyCOPFPetWrUKV1xxBa6//npMmzbNsAUiIiIiIiKiQ0ezLsLXrl2LESNGoKioSF08T5w4ER06dMBHH32E/Pz8iLbz2WefYc6cOXtcgAPAkUceiaeeegonnXRSc4ZIREREREREdNBp1pvVbrzxRuTn52PLli1YvHgxFi9ejM2bN6Nz58648cYbI96Ox+PZ66epV1VVwePxGO8nIiIiIiIiOpQ06y/hX3/9Nb7//nukp6er2zIyMvDQQw9h4MCBEW/nwgsvxJgxYzBp0iSccsopSE7+9QMsKisr8cUXX+CWW27BxRdfvNdt+P1++P3yQ9UarBBiHZG/LJ6IiIgObsx7IiI6XDTrL+EejwdVVVV73F5dXY3Y2NgmejTtH//4B4YPH46LLroIaWlpiIuLQ1xcHNLS0nDRRRdh+PDheOyxx/a6jYkTJyIlJUX890bNyv3eJyIiIjp4Me+JiOhw0ayL8LPOOgtXX3015s+fD8uyYFkWvv/+e1x77bUYOXJkxNvxeDx49tlnUVpailmzZuHFF1/Eiy++iFmzZqG0tBRTpkzZ58vRx48fD5/PJ/67OKGgObtFREREBynmPRERHS6a9XL0p556CmPHjsWAAQMQE/PrJoLBIEaOHIknn3xyv7eXnJyMoUOHNmco8Hg8e1yo86VpREREhxfmPRERHS726yI8HA7j0UcfxYwZM9DQ0IDRo0djzJgxcDgcKCgoQNeuXfd7AHV1dVi0aBHS09PRo0cPcV99fT3efvttXH755fu9XSIiIiIiIqKDzX69HP3vf/87/vKXvyAxMRG5ubn4+OOPMX36dJx99tnNugBfvXo1CgoKMGTIEPTu3RuFhYXYtm2but/n82HcuHH7vV0iIiIiIiKig9F+XYS/8sormDJlCj777DNMnz4dH3zwAV577TWEw+FmPfidd96JXr16oaSkBKtWrUJSUhIGDRqEzZs3N2t7RERERERERAez/boI37x5M0aMGKF+PvXUU+FwOMRfr/fHd999h4kTJyIzMxNdu3bFBx98gGHDhmHw4MFYv359s7ZJREREREREdLDar/eEB4NBeL1ecZvb7UYgEGjWg9fV1akPdgMAh8OBZ599Fn/6059QWFiI119/vVnb3eWUu1W/UY/PG6fvi28bUnXZZvnVag6XperUxHpVN9TKbYcth36cUvPvNJxOvb3qLXobPpfsE5/WoOpAwPaBMw7dPz2tVvT5uSxD1XnJlap2u0KiXXKDfsWCM15vO62d3N6qX9qp2usL6vE49L465TKAO1PfVzwvXtXtj64U7Rp26XahSj0eb65DtAuW67GHtuj7wiFdt0uoFn18tXpQVTt1nZxZJ9pVrbAdsyr9IT9O2xwD8ti63Pq+Ooc+ZmnZNaJPjEfvk9Wg9yHFksciNVPO+W7+Grm+tu5MVnUibMcvRo7Vzu3Vx8wK633YWR8n2uXnlOvxddPjq1sit+d16+0FG/S6aVi5Q7SzgnpMJTv1mnTZDm3VDvk8s2xz7PXo52koJJ8X6R31MWxYo+fIX+OW2wvrsTbYjpNle7FOWaPzgyNBb6MhqI+LfTwAECzR309cuUnvR5ztOQsAFRv02rPPP4JB0c5hOF34LD2+cHmSuC+zVh8zy7a5QK38cKo6n96n+CQ9vvjqRudq25pPjdP7FwrY1ngbuVZj0vX4ajfoiW3nle3qy/WYMvP1fcEa+Vy3q1yh6/LSBFXnJcivxLRs57L4ZD3uNkE5qfZzcn2VnhP7ugOAYINuF5ei5yg5rJ8X7ZLlGNJy9D6VbtHHKSZVjsGZLNcotSx73keS9YDMe1PWAzLvo5H1gMx7U9YDMu9NWQ/IvI8k6wGZ96asB2Tei6yvkK+WtOd9JFkPyLw3ZT0g896U9YDM+0iyHpB5b8p6QOa9KesBmfctmfWAzHtT1gMy701ZD8i8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701Z33hMpqwHZN63ZNYDMu9NWQ/IvDdlPdAo7yPIekDmvSnrAZn3pqwHzHlvynpA5r0p6wGZ96asB+S5JJKsB2Tem7IekHnfnKzfr4twy7IwduxY8emk9fX1uPbaa5GQoCfxvffei2h73bt3x8KFC1FQIL9iZPLkyQCwX193RkRERERERHSw26+L8DFjxuxx2+9///tmP/g555yDN954A5dddtke902ePBnhcBjPPfdcs7dPREREREREdDDZr4vwl156qUUffPz48Rg/frzx/ilTpmDKlCkt+phERERERERE0bJfH8xGRERERERERM3Hi3AiIiIiIiKiVsKLcCIiIiIiIqJWwotwIiIiIiIiolbCi3AiIiIiIiKiVsKLcCIiIiIiIqJWwotwIiIiIiIiolbCi3AiIiIiIiKiVhIT7QEAQDgchtO55+8DwuEwtm7dio4dO+7X9kKNfnba9rLBr39wxDpUnRyWvRy24ViWbUyWQ7TzegOqDtS7VF0Xcol28Z4AIhETZzV9h+1xAw1y2zVNzB0ABBqNwQ29bUe8noeGGtkv0dJzYd9fl20iHI1WjhXU9zmdug7Xy3bhoN6e07u33wGF9eM6bNsL6T5Wo2PhsLVzunT/YIN8nHBQ/xwTq/fVXyd3yr59S28OcbYfGmplH4czqMeQEqdqn0MeiwbbY8lxy+PvtO1iwDaexu3sYw369WPFxuvxxDrkGvfX28bg1fvkcJq37XLrds54uU+OGD2vobCud8bqNvbnHwDE2Z4/DbZ1HWM7fgDg9OraZbsvFGq0BmxjT7KtY1eibhOWXQCXfty9PU8br2Wl0ToM2taXfR3C4zFu27LthwXbcTb2ANzp+t6G6kZjtRrv5P/fduPnjO0BArZxW7ZJqvO5RZ8kr57jmDi9vsKNJta+Ri15OAWX7dgGy21zZ3teBEONZsK2PftY7X0as++7o1E7t1evlZgEfV/IdiyCwUbr3TB3ezxufeNEopZkn91Ish6QeW/KekA+j0xZD8i8b8msB2Tem7IekHlvynpA5n0kWQ/IvDdlPSDPkSLr439b1gPm56+zUVbY896U9YDM+0iyHpB5b8p6QOa9Ket/HbttP1ow6wGZ96as/3U/bOdpQ9YDMu8jyXpAPgdNWQ/IvDdlPSDzPpKsBxrl/W/NekA8P1sy6wFz3tuzHpB5b8p6oNFzJoKsB2Tem7IekHnfklkPNMp7Q9Y31U+1s8z/Fokk6wGZ9wcy66P6l/DKykpccMEFSEhIQJs2bXDPPfcgFNI7UVpais6dO0dxhEREREREREQtJ6p/Cf/rX/+KH3/8Ea+++ioqKirwt7/9DYsXL8Z7772H2Nhff6VmNf7VNBEREREREdEhKqp/CZ8+fTr++c9/4rzzzsOVV16JhQsXorS0FGeffTb8fj8AwOEwv9SCiIiIiIiI6FAS1Yvw0tJS5OXlqZ8zMzMxa9YsVFVVYcSIEaitrY3i6IiIiIiIiIhaVlQvwjt27IiVK1eK25KSkjBz5kzU1dXhnHPO2ec2/H4/KisrxX8Bix+EQ0REdDhh3hMR0eEiqhfhp59+Ol566aU9bk9MTMRnn30Gr9fbRC9p4sSJSElJEf9Nr15+IIZLREREUcK8JyKiw0VUL8InTJiA++67r8n7kpKS8Pnnn+PLL7/c6zbGjx8Pn88n/hud2PMAjJaIiIiihXlPRESHi6h+OnpaWhrS0tKM9yclJaGwsHCv2/B4PPA0+k4+d6PvZCYiIqJDG/OeiIgOF1H9SzgA1NXV4dtvv8WKFSv2uK++vh6vvPJKFEZFRERERERE1PKiehG+evVqFBQUYMiQIejduzcKCwuxfft2db/P58O4ceOiOEIiIiIiIiKilhPVi/A777wTvXr1QklJCVatWoWkpCQMHDgQmzdvjuawiIiIiIiIiA6IqL4n/LvvvsOsWbOQmZmJzMxMfPDBB7juuuswePBgzJ49GwkJCc3arseyxM91u/RuxsUHVB2u1+1ckH3CAYeqHbqEyyXb+Xz6E9xzs32qzqyoE+121ep22YlVqk4PhUW7qh2xqvbaxmrZmsV6gqJPrs+v+2/S748LWQ6YBEvqdZ/yRHFfgks/biCot5fo0F8FU7XJbdy2fY5DfjmG2grb/lXrMYQbfSV8yVo9prQUfWdVlX4/4M76ONHHYTuG7lg91lBA/q4puWODqoPVtscsThLtslP0cWqo1WsoBvpgOJxyPbjc+r7gdr1xryXn2Juk5yjo1+MrL5NrPmA1/Xsye5897gvq+2JCev7rLfneybDtvurVcj/sYlx6n9xu29cByaWLYLme18zUGlV7avTaj4mRnfx1el79AV273X7Rrmabvs/j1evfXy9PYVZY71NyjB5P3Q6979kh+fyxyvX6cjj0PIRCco7ta9l+3P3Vcl4T0/TYnfbzRUh+lZJ9/gP1+rEyXbq/yynnq26T3l5crm0fGh0L+3mqtko/5wJhuU/281x9UM+lff9iPXLcDZv1/NnPrRUN8r267WL0Nqq36zGEgnIMsXF6e/Hp+phVV+p1E2zUp6Hcdpxsz+9go2PmydATU1mmj5MnLiDaudx6e4EqvQ23LUvsawMA6ir0OTDW9rwI1cqDYVU0OjjUoux5H0nWAzLvTVkPyOeRKesBmfctmfWAzHtT1gPmvLdnPSDzPpKs//Wxms57+xwD8hxpynpA5n0kWQ/IvDdlPSDPB6asB2TeR5L1gDwvmrIekHlvynpA5n1LZj0A1Fl6P35z1gMi7yPJekDmvSnrf30sva5NWQ/IvI8k6wGZ96asB2Tem7IekHnfklkPyLwXWd9BNBPnCFPWAzLvI8l6QOa9KesBmfemrAdk3keS9YBc16asB2Tem7IekHkfSdYDcn2Ysh6Qed+crI/qX8Lr6uoQE2NbDA4Hnn32WZx99tkoLCzE6tWrozg6IiIiIiIiopYV1b+Ed+/eHQsXLkRBQYG4ffLkyQCAkSNHRmNYRERERERERAdEVP8Sfs455+CNN95o8r7Jkyfj4osvhmWZXzpDREREREREdCiJ6kX4+PHj8fHHHxvvnzJlCsJhvp+OiIiIiIiIDg9R/55wIiIiIiIiov8VvAgnIiIiIiIiaiW8CCciIiIiIiJqJbwIJyIiIiIiImolvAgnIiIiIiIiaiW8CCciIiIiIiJqJbwIJyIiIiIiImolMdEeQFNOPvlkvPTSS8jLy2tW/+IY+buFxNygqjcvTVB1dq5D1WvdbtHn6ARL1eGQble8M1G0O7Jfmaq3LUtW9Zq6JNGuq7dK1RU74lT9tVd+D/pJx+rHrVkVUrU7Rd9euckr+izxeFTdd1C8qre86RDtAtA/e0/uqerMyuWi3erlKaru5KhW9ZoY/ThH97ZEH4dXL6VlM/QcZR0v988VV6/qmPRYfXvvDNGuw5H6cX94yzae7ApVJyX5RZ/1pamqLi7V89/5iHLRzrdR74fLrceXklwnx2q7z5uuj0VpsV4r3WLl/gX9eu0lD+mu6pXzK0W7pA3pqm7fxqfHkCLHUFyi10q1U287oX1QtIsp1ePYuiFV1fHJDaqudbhEn1iP3qe0S/RYSx/bKtrV+PVxCoX1GspuJ08f9q3PX6DX4Rq3HuvgmljYBUN6n5IS9PHc4UsQ7fKuaafqtZOL9T7EhmBSF9LjS+qhRzd3mxz3gON7q7ryP0tUnZ4kj4W3s+4XWKHnO8Yj18COTfo84HTo50lq1+6indOln3dJvfS23y7Rc9chIJ9nR/bRxzNco2srLNsFGvT+Jmfq/SiukOcvd5Lul5ao28XY1rVvZ5zok3GOXruupZtVnVkm58vp1tvOPFlvI1hcLdpZDfqxVs/V5wF/WO9D+yyf6OPtqOfL4dTrJhiU5377cz0Q0NtLSJHnDmeMHmus7VRUsV73Savz2Lug/XE1qt41Tx8zT69M0c6qkvNCLcue95FkPSDz3pT1gMx7U9YDMu9bMusBmfemrAdk3puyHpB5H0nWAzLvTVkPyLw3ZT0g8z6SrAdk3puyHpB5b8p6QOZ9JFkPyLw3ZT0g896U9YDM+5bMegCoc+htiKy/6AjRrvQf21RtynpA5n0kWQ/IvDdlPSDz3pT1gDnvTVkPyLw3ZT0g896U9YDM+5bMekDmvSnrAZn3pqwHZN5HkvWAzHtT1gMy701ZD8i8jyTrAZn3pqwHZN6bsh6QeR9J1gMy701ZD8i8b07WR/UifMaMGU3ePmfOHHz44Yfo0KEDAGDkyJGtOSwiIiIiIiKiAyKqF+GjR4+Gw+GAZVl73HfDDTcAABwOB0Ih81+7iIiIiIiIiA4VUX1P+LBhwzB8+HDs2LED4XBY/edyubBs2TKEw2FegBMREREREdFhI6oX4Z988glOOeUU9OvXDx9++GE0h0JERERERER0wEX9g9luvvlmDB06FJdeeik++OADTJo0ab/6+/1++P3yzfoBKwR3ow+hIiIiokMX856IiA4XB8VXlPXp0wcLFy6Ew+FAnz59mnyPuMnEiRORkpIi/vu0avm+OxIREdEhg3lPRESHi4PiIhwA4uLi8Nxzz+Gxxx7DDTfcgMzMzH13AjB+/Hj4fD7x3xlJPffdkYiIiA4ZzHsiIjpcRP3l6I2NHDlyv76SzOPxwOOR32nJl6YREREdXpj3RER0uIj6X8Lr6urw7bffYsWKFXvcV19fj1deeSUKoyIiIiIiIiJqeVG9CF+9ejUKCgowZMgQ9O7dG4WFhdi+fbu63+fzYdy4cVEcIREREREREVHLiepF+J133olevXqhpKQEq1atQlJSEgYOHIjNmzdHc1hEREREREREB4TD2p+PIm9hbdq0waxZs9C7d28AgGVZuO666/Dxxx9j9uzZSEhIQLt27RAKhfZru7XP3iBvqKxW5ReT6lW9xKN/B3FWuFp0edeVoOqT6/Tjp7jl16NUB9yq7tWnRNVrf84Q7ZY741V9fGyFqstq4kS7Mmesqk/oqF8VEA45VD1nW47o08ertxcTE1Z1Vrca0e6x5bmq/r8r9Pa2vl4u2nWcWKjqiTf/rOq0sO6THRRdsMv2trwTLD2XsTHy2K2tT1L1mXNvVHXZ7/8i2tVX6Xl12fYpOa9B1Z/90F70OTZZ70dxRaKqe51YItrF33Gt/iFGz7e1q1i08099R9VffdFW1Zti9br5HLtEn0GONFX/+ZljVf3JlQtFuxRLz8t6t97X72LqRLspjx2j6vAy/SnAzkGFol3wnel6rNP1GFIRUPUOh3wv5dCjtqraoacBAZ9DtLthU4qqnzuqQtXx14wS7VBTpbcxa66q3/s4W9Un52wXXV4v1Ws5w7ZUVsbIBfanJH1sPYn6Pne8XF8JJ+jH2v7fSlXnPjJM1W9es1j0ObnNDlUn5uj5euXnDqJdnO1MOfbtM1W9+Yqpol37azupeud/1qh68ZY2ol2VU6+jU7oUqfrDjfp5ek7PLaJP5TZ9DEt22tb4pfI07szRH2wZXLlJj/WLWNGuIaCfuJ37+1TtHdFP1ev+/ovoE7adB/IG1+pxfyHPS2cN0/P61Sf6uJw+UT5v3/q/bao+70J9zEKl+vxVKYeAhPZ6DRQv0+fqUEj+XrnOr59br7r1vp9XHxbt+t2Vrur1T+lj0f5EvX/3z80WfXoG9UeqXPx/+ny/6fE1ol27QfqclfLSLFDLEnkfQdYDMu9NWQ/IvDdlPSDzviWzHpB5b8p6QOa9KesBmfeRZD0g896U9YDMe1PWAzLvI8l6QOa9KesBmfemrAdk3keS9YDMe1PWAzLvTVkPyLxvyawHZN6bsh6QeW/KeqBR3keQ9YDMe1PWA8AKW97fYMh6QOZ9JFkPyLw3ZT0g896U9YDM+5bMekDmvSnrAZn3IutXyT9gbv5cr7dIsh6QeW/KekDmvSnrAZn3kWQ9IPPelPWAzHtT1gMy7yPJekDmvSnrAZn3zcn6qP4lvK6uDjExeuccDgeeffZZnH322SgsLMTq1aujODoiIiIiIiKilhXVT0fv3r07Fi5ciIKCAnH75MmTAWC/PiWdiIiIiIiI6GAX1b+En3POOXjjjTeavG/y5Mm4+OKLEcVXyxMRERERERG1qKhehI8fPx4ff/yx8f4pU6YgHA4b7yciIiIiIiI6lET9e8KJiIiIiIiI/lfwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJXwIpyIiIiIiIiolfAinIiIiIiIiKiV8CKciIiIiIiIqJU4LMuyovXgfr8fTqcTbrcbALBu3Tq8+OKL2Lx5M/Ly8vCHP/wBnTt33u/tvpL7e/HziF5bVL1zU7yqs46sVfW879uJPscfu03VO1YlqdqyHKJdVocqvT/VMapeV5Qu2qXG+lWdnFSv6tmVWaLdecdvVXX1ZpeqvalBVZdviRd95lVlqPrcESWqXvlRomhXHXKr+vjLG1RdMccn2q3fpLeXFKvbbW5IUPXgE4tgsnVJsqpze1aK+xp8+vc+cR1sdzjlvIZrQ6reuDBV1fa5CwRc9i4ortTjy0mrVnViml+0q6mI1dvL0turLPWKdgmpet8dDv00+WldG1V3z9kp+sR49LhT+npU/cV7aaJdF69eNx6vPrb2xwGA4l36GFZAH78Tem8T7Wp36vtqq2z7l6n3b/n6bNGnY4o+Nu3P0mt34/SwaBcM6WOWlKTnMmugaAaHS7db9K4e9xKPnoezE0tFn1BY92nw6zEEgvL3g10G6bFuW6DXf0xsSLSLT7at1816zrv3L1P1jIUdRJ/z/6jrH5+pU3VynFw37XrrY1ZfqscXbJBjDQX0zzVVet/z7+4u2pU8s1Q/Vme9Bt7/vr2qs4Jy/wafpfcjXK37+NbI54J9DaTl6PPc1vWpol1uJ/3cryzT69++Jv31MaJPu9P1Y9Us1c+zsq3yfJPZXt/n7WCbr3K5TyG9RLFtnRyfGo87KH7O7qq3HajR296+KVm0S03Vx7O2Rs+Ju9G6iUvU68aTpB9r0Yoc/ZjuetGnQ7ddqt6yRq+1I8+S7UI+vY5S35gNaln2vI8k6wGZ96asB2Tem7IekHnfklkPyLw3ZT0g896U9YDM+0iyHjDnvT3rAZn3xqwHRN5HkvWAzHtT1gMy701ZD8i8jyTrAZn3pqwHZN6bsr7xY7Vk1gMy701ZD8i8N2U9IPM+kqwHZN6bsh6QeW/KekDmfSRZD8i8N2U9IPPelPWAzPuWzHpA5r0p6wGZ96asB2TeR5L1gMx7U9YDMu9NWQ/IvI8k6wGZ96asB2Tem7IekHkfSdYDMu9NWQ/IvG9O1kf1L+HDhg3D+++/DwCYO3cuevbsiQ8//BCBQAAff/wxevXqhXnz5kVziEREREREREQtJqoX4UuWLMHRRx8NALj77rtx3XXX4ccff8Sbb76JxYsX45ZbbsHtt98ezSESERERERERtZioXoSHQiGEQr++TOCXX37BmDFjxP1jx47Fjz/+GI2hEREREREREbW4qF6EH3/88fjggw8AAPn5+XtccC9duhTp6elNdSUiIiIiIiI65MTsu8mB87e//Q3Dhw9HTU0NLr74Ytx6661Ys2YNCgoKsGrVqv/X3p3HR1Xe+wP/zJaZyR4IgYBAQJRFLFBACiooUpC2iF65LKKAa8GFKhaV22tVqoCt1dZSsfUqFmu9ciu4gyxiLRRRpKIiqxiiQggEyDJJZn1+f+THec435AwDM8kM8fN+vXi9nsk5zzPf85zlw5nJZPDkk09izpw5Ucfw+/3w++UfkAiqMFw2h0UPIiIiOtMw74mIqKVI6jvhgwcPxooVK/DOO+9g5syZKC8vxyOPPIJrr70Wzz77LB588EHcc889UceYP38+cnJyxL83q7Y10xYQERFRc2DeExFRS5HUd8KB+hvxjRs34tChQ9i7dy8ikQgKCwtRVFQUU/85c+Zg1qxZ4mf/1+OnTVApERERJQvznoiIWoqk34Qf16ZNG7Rp0+bkKzbgdrvhbvDdhPzVNCIiopaFeU9ERC1FUn8dHQBqa2uxfv16fPHFFycsq6urw5IlS5JQFREREREREVHiJfUmfNeuXejZsyeGDh2K888/H8OGDcOBAweM5RUVFbj++uuTWCERERERERFR4iT1Jvzee+9F7969UVZWhp07dyIrKwsXXnghSkpKklkWERERERERUZNI6mfC//Wvf2HNmjXIz89Hfn4+3njjDdx66624+OKLsW7dOmRkZJzWuHnhsHhsS9PtYEB/fixUrX+egZDoE6zSr0+40vR4NpsS66mIzWg7XBGj3Sa9VqxXVaeLyDb9vE0oItYLHNHjh4O6BmVazemUfVqbtjdSGYQVj02vp6p0fXVVLrGe16HnQsnN1WQJCFboeXB7dP9wnVyvtkI/l7uN/qqZSIP1IgFT3Wl6vNpaPY8Na7PrEsR+Ug1qNe/P0+GBdf/qox6jnXGoxminqxyxXjii9604JsPydTGXXRefHtbtiDxcxbFiM82Dv1qf4tmOgLkL0tym/VSu90VdIEusl+7Wx5TLtG9Vg31mnmevQ89RbpTpbng+HWe3y5+Hq/Xgou6InC/z+RhWum0+vjIjcuxI6VGj7bDp/edwyAPHfIzbTE8bCckazNcBj0fPXaRYvrho3meRgK6pIKS3L8cmd3TosN6H5uuXishLud3R+Lw6Gs5r0DRHYd02n1vmOQWAcLk+rm2m52k4XyG/aV5Cputag+MmYDpG3S69vYGQPi/McwoAtUd0n7RM3SfNZX2wmc8te1DOg3m+Iqb94oL+eajBsRas0fVlpuv9Ej4qv0IrEmhwAaKEMud9LFkPyLy3ynqgYY40nvWAzPtEZj0g8z7erAdk3seU9YDIe6usB+S5bZX1gLwex5L1DeuzynpAzl8ysh6QeW+V9YC8JiUy6wGZ91ZZD8i8t8p6QOZ9IrMekHlvlfWAnMtYsh6QeW+V9YDML6usB2TeJzLrAZn3VlkPyLy3ynpA5n0sWV8/tmleLbIekPNllfWAvCbEkvWAnFerrAes877h/6PNeR9L1gMy762yHpB5fzpZn9R3wmtra+F06gm22WxYtGgRxowZg2HDhmHXrl1JrI6IiIiIiIgosZL6TniPHj2wefNm9OzZU/x84cKFAIArrrgiGWURERERERERNYmkvhN+1VVX4aWXXmp02cKFCzFp0iSoqL8jRURERERERHTmSOpN+Jw5c/D2229bLn/qqacQifDzdERERERERNQyJP17womIiIiIiIi+K3gTTkRERERERNRMeBNORERERERE1Ex4E05ERERERETUTHgTTkRERERERNRMeBNORERERERE1Ex4E05ERERERETUTHgTTkRERERERNRMnMkuYOvWrfj4449xySWXoGvXrti2bRv++Mc/IhKJ4KqrrsKoUaNOeUyPiojHaZ0zjHZGid9oR4I23YZN9PEdSTPa/jo9TenpAbGeza6MdvVRr+4TdIj19sNjtM9ue9hob6qRtQ/N1e2SXZlGu0vhEaOd5g2JPn6bfi0ldExv+7cRj1gvH0GjHfHpts0uD4NAWNee5dLP5Q7osX37ZZ+0jLAez6bnxJktVkP5Dr0v0svlXJqZNglHfXpe2+VXWfY5VJtutCsqdZ9wSL7WlNWqzmjv/yrHaH8dzBDrDcgt1XUf0PvCbjpUsrvIbQjv1s/l6tZa998gj4c2jW8CvN6geFwX1POc49LHrucsOf8+fUghr70+qBxuvS8+O5Qv+hSgWj+wy+Pf7KtqvRP7d/CZlshtqtiu26WmYy9iKtWZJs9N8/njcOh2Vts6sV5tmX6uzHw9D0e+lfssu5epT4l+YncXfTwEPxNdUP1JrdEuaKPn31flFuvVVerxvHl6vaMl6WK97GxduzdHr2fvWiTWyynaZLTN16i6j/QxlAPJc2kPo/3Nn/bpuvv65YoRfd7WfK33rdMh59/vcxltl0ufw5GwrsF8PAGAMu2aYI3eL226+sR6QZ8eo2qvbudemCnWc35ZaXqkBz92WM/r4WNyP3/vEn2s1OzQdXvT5flTbdqHHreekyNVXrFeVkQ/b3oXPV9HvtT73BWWc1d1RB/jtXV6Hn0l8tjN7Jb0mG3RzHkfS9YDMu+tsh6QeW+V9YDM+0RmPSDz3irrAZn3Vllfvx16G2PJekDmvVXWAzLvk5H1gMx7q6wHZN7HkvWAzHurrAdk3ltlPSDzPpFZD8i8jz/rAXPex5L1gMx7q6wHZN5bZT0g8z6WrAdk3ltlPSDz3irrAZn3icx6QOa9VdYDDfLeIusBmfexZD0gjymrrAdk3ltlPSDzPpasB2TeW2U9IPPeKusBmfexZD0g894q6wGZ96eT9Ul9J3zZsmXo378/7rnnHvTp0wdr1qzBRRddhN27d6O4uBg//vGP8be//S2ZJRIRERERERElTFJvwh955BE89NBDOHz4MJ555hn853/+J2bNmoXVq1dj5cqVePTRR/Gb3/wmmSUSERERERERJUxSb8J37tyJyZMnAwAmTJgAn8+HK6+80lh+1VVXYc+ePUmqjoiIiIiIiCixknoTnpWVhfLycgDAsWPHEAqFjMcAUF5ejszMTKvuRERERERERGeUpP7FmBEjRuC2227DHXfcgZdffhkjR47EnDlzsHjxYthsNsyePRsXXXRR1DH8fj/8fvnHGwIqjDSbw6IHERERnWmY90RE1FIk9Z3wxx57DNnZ2Zg+fToCgQBefvllDBgwAL169UKvXr2wf/9+LFiwIOoY8+fPR05Ojvj3v77tUfsQERHRmYV5T0RELUVSb8Lbtm2LVatWoaqqCitXrkROTg7+8Ic/YM+ePdi6dSu++OILnH322VHHmDNnDioqKsS/iRk9m2kLiIiIqDkw74mIqKVIyS8w7dq1a8zrut1uuN3y+3z5q2lEREQtC/OeiIhaiqS+Ew4AtbW1WL9+Pb744osTltXV1WHJkiVJqIqIiIiIiIgo8ZJ6E75r1y707NkTQ4cOxfnnn49hw4bhwIEDxvKKigpcf/31SayQiIiIiIiIKHGSehN+7733onfv3igrK8POnTuRlZWFCy+8ECUlJcksi4iIiIiIiKhJJPUz4f/617+wZs0a5OfnIz8/H2+88QZuvfVWXHzxxVi3bh0yMjJOa9yDDpd4HPzaZ7QD/nSjnZ0VMNrHbHIqzs0KGu3KKo/Rjiib5fOmZ+uvTqnzy/E6qxqj7a/Sy4pC8nUQm1OPn5lu+iqWiG4ePZQOs+xI2GjbdanIVSGxXgh6bHtWmn5OW1isV6P0Z+wyTNtbZ9O1phfIsc3qavX8q0CtWFZ4VoXRdmUpo+3IlPMQCegNbp2t5y4c1vX46+R+NvO69f7LaSNrqKvS/fJamcY+LGtQpjnPK9DHUFWJnrvaUvl5RHeGft5IWaXRTo/IzzHabHrbPR7dJ9DguAlHdE2HTGMUHT4q1gv49TL7MYXGtEJAPLbZ9XqRar0/3S55PLSFnr/qw/p50rvL58nsqI/XDqV6XsuQabSdbjn20TJ9jrtMz3v0W3mMt+mpx9u/NctoB0Ny/utK9HZk2vW8Bg/KY0DU3ddrtEtf18eG17RfACCjrWm8Kr1f2p5VKdbz+/Q+DAf18aoq5XphvUkI7NPHl1vl6AUNLjeBjbuMdm57fYBW7JTnQjio63N59LwGG1xvMlrpffbN3lw9draer5qjcmx3oZ5jp1vXULYnU6zXrne1Xq9Gr1e5ySfWs5muK5Fw49fX9DS5L/xf6foCpvmurZG1tmqrn6umUp+3+bmyhmCdPo78+/WcuJU+xlt560SfrFb6cd0B/bzpZ0Ug8TPLTcmc97FkPSDz3irrAeu8N2c9IPO+CLqGeLMekHlvlfWAzHurrAdk3seS9YB13puzHpB5b5X1gMz7WLIesM57c9YDMu+tsh6QeR9L1gMy762yHpB5b5X1gMz7RGY9IPPeKusBmfdWWQ/IvI8l6wGZ91ZZD8i8t8p6QOZ9IrMekHlvlfWAzPuEZj0g8t4q6wGZ91ZZD8i8jyXrAZn3VlkPyLy3ynpA5n0sWQ/IvLfKekDmvVXWAzLvY8l6QOa9VdYDDfP+1LM+qe+E19bWwunUk2qz2bBo0SKMGTMGw4YNw65du6L0JiIiIiIiIjqzJPWd8B49emDz5s3o2VN+xcjChQsBAFdccUUyyiIiIiIiIiJqEkl9J/yqq67CSy+91OiyhQsXYtKkSVDK+tdtiIiIiIiIiM4kSb0JnzNnDt5++23L5U899RQikYafryMiIiIiIiI6MyX9e8KJiIiIiIiIvit4E05ERERERETUTHgTTkRERERERNRMeBNORERERERE1Ex4E05ERERERETUTHgTTkRERERERNRMeBNORERERERE1EycyS6gKTigxGOb02a0q6rdRjvfXmO0wzYbrHg9QaMdCjjEMmeGfq7KQy79PP40sV6Ox6/H8OsxDjtkrfZMvUtCIb1eOGB6Tof87vRSp+6TdnaOXvCB3A6nTT+XvSBX/9xdJtZT0HOhlG6LZ2348o1pYXq6LtaRKVcMHzA9toctx3MWeIx29Ud6Ltt1qDTaDfeFub7KWr2f26RVi/VqfHo8j2nfRpQ8Brz5uj7fQT3Hvoj1aRMJ6zEcHfONdpVdbmAorB8H/Hq89KyAWM9Xp2vNMY0tdwaQnq2Pr9pq3cfl0ttQpWTdLo9eltajQD/nhpBYrzKsx8tFLazY0/X+KAua9p/eFVAROcdOp67BbjqufT63WM/VUY/t2m6q2y1rdeinhcuux3O19RrtcoeswebVz+Vymo6HcIP1LF6yDAXkAn+tvg6kRXR9trw8sZ7ddIlw5up9c8hp2taQvD44u7Yy2uHqw0bbky3nofqw3iaHyzQPTnngmPdHmmlfZBfWGe3ykgxZd7beXtsBfdyZnwcAwvryCndXvWNclfIYj9Tofsc+TzfadQE9J26X3D67aT+bnzcYkteEQweyjHarfJ/R9lXI48uTofe7K1fPSdCUCxV1sk+Bu0rXYDrW7B5Zg6ONnD9KLHPex5L1gHXem7MekBljlfWAzPtEZj0g894y6wGR91ZZD8i8jynrAZnPFlkPyLy3zPoG48WS9YDcF1ZZD8i8t8p6QOa9t8CU9Qfiy3pA5r1V1gMy7xOZ9YDMe6usB2TeJzLrAZkvVlkPyLy3ynpA5n0sWQ/IvLfKekDuT6usB2TeJzLrAZn3VlkPyLy3ynpA5n0sWQ/IvLfK+obPZZX1gMz7WLIekHlvlfWAzHurrAdk3seS9YDMe6usr69P13A6WZ8SN+EffvghNm7ciNLSUgBAu3btMHjwYFxwwQVJroyIiIiIiIgocZJ6E15WVoarr74aGzZsQKdOndC2bVsAwMGDB3HXXXfhwgsvxCuvvIKCgoKTjERERERERESU+pL6mfBbb70V4XAY27dvR3FxMTZt2oRNmzahuLgY27dvRyQSwW233ZbMEomIiIiIiIgSJqnvhL/zzjt4//330b179xOWde/eHU8++SQuueSS5i+MiIiIiIiIqAkk9Sbc7XajsrLScnlVVRXcbrflcgDw+/3w++UfDAiqMFw2h0UPIiIiOtMw74mIqKVI6q+jT5gwAVOnTsXy5cvFzXhlZSWWL1+O66+/HpMmTYo6xvz585GTkyP+vVa9ralLJyIiombEvCciopYiqTfhjz/+OEaPHo2JEyciLy8PXq8XXq8XeXl5mDhxIkaPHo3HHnss6hhz5sxBRUWF+Dc287xm2gIiIiJqDsx7IiJqKZL+6+iLFi3Co48+io8//lh8RVn//v2RnZ0d0xgNf2Wdv5pGRETUsjDviYiopUjqO+EAsH37drzyyisoLCzEpEmT0K9fPyxduhR33nkn3n333WSXR0RERERERJQwSX0nfOXKlRg7diwyMzNRU1OD5cuXY8qUKejTpw8ikQhGjhyJVatWYfjw4cksk4iIiIiIiCghkvpO+Ny5czF79myUl5dj8eLFuOaaa3DzzTdj9erVWLt2LWbPno0FCxYks0QiIiIiIiKihEnqO+Hbtm3DkiVLAADjx4/Hddddh3HjxhnLJ0+ejMWLF5/yuN6IEo/DNfpxVqb+epPaMv1ZslaRkOgTrNPL/AE9Ta0LfGK9Azv059bbddN/4b2u1iXW8wf1GG1yqo12z0Oy1tovdR3BkH6NJGSqJxSWr510Cdfp59ldYbQVvGK9oLIZ7fDXh422r0J+xu6szCq9HaZtb4uA0T72lUf0sTsiRtubE9Tb861YTTxXTk/dx7dXrufO1duU4dXbbjNt+lGf3L50W9hoZ3l0rSG/nK/cNjVGOxw0zXFErhfRQ6CmUtftgq67+qicO7dH77/QvkNGOz+cL9Zr1VrXcORoutE2zzcAuF3yuDRqa/DjOp+r8fXCep9n2WSnuirdp/bDg0Y705Ml1jviSzPaael6jEhlRKwXCejH3VodM9q+Y611/0xZgzqijyOfzzTHzrBY7/A/9HnrdOr9FAzIz4Mq0/A2mz63ggdrjXb3QNDcBYFdR4x2eoauwVct923Ip+fS4dbbWnMsTayX264GjYkUl4jH4Vo9Hsp04R1Cur7WaXXmLoiU6bHN9dhd8jqS5tXjmY9x85wAgN2pH5uvUcEaPa8Op9zPtbt0TbWmbQ/45bFrN01LxRZdj7PBt04G63S/vEK9fZ4KPQ/lRzJEn4hpWmor9RNVBeS+6JCvr8kqoucrEJLHTcR0rQ0c0bV6lN72NLuch6MH9HlrPu9r98lj1+ts/HigxDDnfSxZD8i8t8p6QOa9VdYDMu8TmfWAzHurrAdk3ltlPSAzOJasB2TeW2U9IPPeKusBmfexZD0g894q6wGZ91ZZD8i8N19PrLIekHlvlfWAzHurrAfknCcy6wGZ91ZZD8i8t8p6QOZ9LFkPyLy3ynpA5r1V1gMy72PJekDmvVXWAzLvrbIekHmfyKwHZN5bZT0g894q6wE5L7FkPSDz3irrAZn3VlkPyLyPJesBmfdWWQ/IvLfKekDmfSxZDwAehz4mrbIekHl/Olmf9M+E22z1k2W32+HxeJCTk2Msy8rKQkVFhVVXIiIiIiIiojNKUm/Ci4qKsHv3buPxxo0b0alTJ+NxSUkJCgsLk1EaERERERERUcIl9dfRZ8yYgXBYv5Xfu3dvsXzFihX8o2xERERERETUYiT1Jnz69OlRl8+bN6+ZKiEiIiIiIiJqekn/TDgRERERERHRdwVvwomIiIiIiIiaCW/CiYiIiIiIiJoJb8KJiIiIiIiImglvwomIiIiIiIiaCW/CiYiIiIiIiJoJb8KJiIiIiIiImklSvye8qWSpsHgcqNCvNaiIrdE+aTbZx+XRjzMz/Lq/kv3cnqBpbP1zW4On8br1euGgXthKBcV6Drd+Artdt0N+e6M/BwCXXT+xCsCSx7SNKqD7OJwRsV7Arw8Lp0MvS4vo/naH7GPe3kCNw2in58nts5lqV3V6jGCtS9aar5/LPLZ5jt3OkOhjt+mx09x6WV2VHNu8vbU+vczrkrWaOZ26Hq9Dtz3psk8krIuNVOsaMmyy1mBQz5F5jh0N9m3YdLy6TDVEgvIAi4T18WGeY2eaHjvaK24RU3mRBudIjqn2kF/XHTwit8mZ2/i51TpimiMl17E7dK0eu14vFHKI9cJBXb3DpbfJky6PQ/O8VAbT9M9r9DouyD6iv2n/mY8hALC7dK1hv14v4Je1ZpnWC1TrZepYleXzmndOEHrshtcR8zEVCemFqsEmmedLHA8NznVzP/M1yjy2+bwCgFCd3ia7abyG18aQT4/hdJuOQ6dcMRLStQZqdB+rcwQAQrXmOTJtn816+8y1NjzG/XX6mpfm13PsMm1Ug81rcF0ynfehBudmtTyOKLHMeR9L1gMy762yHpDHtFXWA/JYSGTWN1wWb9YDMv9iyXpA5r1V1gMy762yHpB5H0vWAzLvrbIekHlvlfWAdd5bZT0g894q6wGZ99GuY+a8jzfrzccxYJ33kQaXI/O10CrrAZn3MWU9IPLeKusBmfdWWQ/IvI8l6wHrvDfvP0AeR+Zz05w1gMz7RGY9II9/q6wH5LlhlfWAzPtYsh6Q55ZV1gPy2miV9fX99IqxZD0gzxOrrAdk3ltlPSCP8ViyHgDCyvy8+ucNc8U8f6eT9SnxTngkYnGSRCIoKSlp5mqIiIiIiIiImkZSb8IrKysxfvx4ZGRkoG3btvjlL3+JcFi/mnfo0CF06dIliRUSERERERERJU5Sfx39/vvvx9atW/HCCy/g2LFjePjhh7FlyxYsW7YMaWn1v16iGv6OIxEREREREdEZKqnvhL/66qv405/+hHHjxuGmm27C5s2bcejQIYwZMwZ+f/1ns2wNPxRJREREREREdIZK6k34oUOH0LlzZ+Nxfn4+1qxZg6qqKvzoRz9CTU1NlN71/H4/Kisrxb9Agz/MRkRERGc25j0REbUUSb0J79SpE7Zv3y5+lpWVhVWrVqG2thZXXXXVSceYP38+cnJyxL+XfNtP2o+IiIjOHMx7IiJqKZJ6Ez5y5EgsXrz4hJ9nZmbinXfegcfjOekYc+bMQUVFhfg3KaNnU5RLREREScK8JyKiliKpf5jtoYcewv79+xtdlpWVhdWrV2PLli1Rx3C73XC73eJnaTaHxdpERER0JmLeExFRS5HUd8Lz8vJgt9uxePFi7NixAwCwY8cOzJgxAzfccAM++ugjDBs2LJklEhERERERESVMUt8JX7lyJcaOHYvMzEzU1NRg+fLlmDJlCvr06YNIJIKRI0di1apVGD58eDLLJCIiIiIiIkqIpL4TPnfuXMyePRvl5eVYvHgxrrnmGtx8881YvXo11q5di9mzZ2PBggXJLJGIiIiIiIgoYZL6Tvi2bduwZMkSAMD48eNx3XXXYdy4ccbyyZMnN/qH206mqsFnxMJB/VpDmjtktN3Z+qtNqpScCrtDGW2HK9LoWAAQ8Ot+oVq9TCmxGsIRvSzk1/Udsbka3wgAaU5dn7mGjCy/WK/El2m0bWn65157SKwXUqb6IrrAzDw53o4vs412bppe5gvpbS30yK+FScvUj8tLMox2dqeAXM+t14vU6Roy2sj1oDcXgYCeL/PcedLk9tUFdH3m/ZKeJb/qzu/Ty8Jh69eh/JX6uczzXx3W+8yd2WCO/Y2P57JHxOOsVnV6jBo9Rq1PHg/HqtKNttep11MRm2XdnvSg0bbZ9RzXKHleeHP0eq5WejxnsazVbXreYNC0L2rltkaC+rkqq/QfVawzvdZXe0xuXySsn9c8xy6bPL7Sc/XxUVelxwiH5TyY59/8vMq0Sb4Glz1nvj5pAp/rZeZ6ALm9tRW6BvN8A4DvsB7PPIYto+EfmqzU9ZkOIwW9TVWBNFgxz51NloqA6TxJz9Zz1/C6ZD6OXGl6zs3Xucx8eX1wevUgx77W2+T2yHMh4DPVUKCXRRqc6k7TNcFvOv5ravS2ez1yjp0ZugZnje6f7ZW1mpm3ydbg9DHPgyNNj20+wnMy6mCWmacfVx/V85CWJXeGPdP6Gk/xM+d9LFkPyLy3yvqG41llPSDPq0RmPSDz3irrAZn3VlkPyLyPJesBmfdWWQ/IvLfKeqBB3seQ9YDMe6usB2TeJzLrAZn3VlkPyLy3ynpA5n0isx6QeW+V9YDMe6usB+QxH0vWAzLvrbIekHlvlfWAzPtYsh6QeW+V9Q1rCvoaz3pAznkisx6wzvtIg//nmPPeKusBeV2KJesBmfdWWQ/IvLfKekDmfSxZD8i8t8p6wDrvG26TOe9jyXpA5r1V1gMy708n65P6TjgA2P7/7Njtdng8HuTk5BjLsrKyUFFRkazSiIiIiIiIiBIqqTfhRUVF2L17t/F448aN6NSpk/G4pKQEhYWFySiNiIiIiIiIKOGS+uvoM2bMQDisf72gd+/eYvmKFSv4R9mIiIiIiIioxUjqTfj06dOjLp83b14zVUJERERERETU9JL+mXAiIiIiIiKi7wrehBMRERERERE1E96EExERERERETUT3oQTERERERERNRPehBMRERERERE1E96EExERERERETUT3oQTERERERERNRPehBMRERERERE1E2eyC2gKkQaPHS79k5qqNKNtM70EkY6w5XgqYtNtZRPL0jMCRjsU0AP6g3JqnQ5dg1KmWm1yPFsMeyQclK+d1Jk2xLxNDWu1QT+xLU2vGAoosV66I9To80agx3O4ZB9lmnTzJqkALNk95vqU9Xp2vSwc0nVHInL7whG9zOnUT9xwvszredODugKfHE81GP84h+kIC9Y6xLJI2DRH2XqZL+wS6wXr9DLzcdPgcIDDprc9ZKrb7mp4lFvUYJo7R4M5Ntdu3hc2e4N9azqOnE79vK4MWYMjU68X3qVrrXA0vq0A4EwLm5aZ6nHIGhxu/Vw2n14WCcnxzP0ybXpsR6ZeJ9TwnHPp5zVfKxru/3BQPzY/j2pw6EbC9kbXg0seA+Zzxtw2P60tynmRlqm3L1Atj0O76bgRtUYaHuO6Lc4Tj276q+VFKS1PnzNp6fpa4atwi/XMx5G4PjR46ddp2re+CvO5YNrP4QYnhsXhf8I1z/Rc5v3isMsB0tx6O2yOxuc8FJJzbB47ZD4OG2yfClifqxQ/8+zGkvWAdd6fcH6YjierrAdk3icy6wF5XlplfcNarbIekHkfS9YDMu+tsh6wznuZ9YBV3ltlPSDz3irrATlfVlkPyLyPJesBmZlWWQ/IvLfKekDOXyKzvr52/dgq64EG12mLrAdk3seS9YDcXqusB2RGWWU9IPM+lqwHZN5bZT0gjwGrrAcanNMJzHrAOu/NWQ/IvLfK+vrnMh/j+udWWQ/IvLfKekDmvVXW1y/T7ViyHmiQ91HiU1zzLLIekHkfS9YDMu8tsx4QeX86WZ+S74QPHz4c+/btS3YZRERERERERAmV1HfCX3/99UZ//v777+PNN99Ex44dAQBXXHFFc5ZFRERERERE1CSSehN+5ZVXwmazQTX8fU4Ad9xxBwDAZrMhHLb+VXEiIiIiIiKiM0VSfx191KhRGD16NEpLSxGJRIx/DocDn3/+OSKRCG/AiYiIiIiIqMVI6k34ihUrcNlll2HAgAF48803T2sMv9+PyspK8S+oeONORETUkjDviYiopUj6H2a766678Prrr+Pee+/FT3/6U9TU1JxS//nz5yMnJ0f8W+b7oomqJSIiomRg3hMRUUuR9JtwAOjbty82b94Mm82Gvn37NvoZcStz5sxBRUWF+PcfGb2asFoiIiJqbsx7IiJqKVLme8K9Xi+efvppvP7661i3bh3y8/Nj6ud2u+F2y++nddkcFmsTERHRmYh5T0RELUXS3wnfvn07Fi9ejB07dgAAzj33XNTW1uK+++7Du+++m+TqiIiIiIiIiBInqe+Er1y5EmPHjkVmZiZqamqwfPlyTJkyBX369EEkEsHIkSOxatUqDB8+PJllEhERERERESVEUt8Jnzt3LmbPno3y8nIsXrwY11xzDW6++WasXr0aa9euxezZs7FgwYJklkhERERERESUMEl9J3zbtm1YsmQJAGD8+PG47rrrMG7cOGP55MmTsXjx4lMet5NT/oV1pWxG22GPGO2q0jSjXZAp+xwpzTDadQE9TV36HRXrffZhgdHue8lhox3y+8R63x7KNtod2weM9rkVlfJ5i71G22bXf6CuplLXGg7J1056ZR/T/Xd7jHZ6WlDWGs4y2t1L9LKy0jyxXts2VUb7m4M5Rjs3zW+0v/qyleiT5dHb1LqwWtdT4hXrHT6m57W1U/cp3+sR64UC+nN+uW0a/4v5Ww+3Fo/N+z2nTa1pLDlfrbvo9UI+fWzU+NLEeuGg7hfw62Mg16Pn4eihdNGnVVu936tMf7S3IF1ug8ujv1an6pje9q9qssR6vfKPGG1/ra7BIacLFdX6B+1zdH211S6jnef2iz4ur66hZL3eL63ayWP3m726poI0fWw48+VnMYNlerxu/cp1DZv1OeLJksdk9VFdt/k8a91G1vDxF4VG+7wO+jwz7xcAcGXo/Z5m1/VE6vQ6ndLk2FWf6nlxufR8lZVnivXMfy+ydSc9xrH98hjP76FrUPoQR2Drt2K9kF8fX0e/1vPfLavCaGfkyH1W+aXuY7Pptjs7JNZzuPR1zl+t58ibGRDrmc+Nylr9WdvMPD1htdXyvKjbqedIRfT5s79SHrs98vUYe7bqczXDLY8Bs87DdZ9jW3Wtxd/I601OpZ7jgwf0tdVmk3/Us30XPZ7vgJ6HcKU8gdyZev6qy/Q8ZNj0z83zAwC+fXoe2hXo86LyG7leVkjuQ0os83U/lqwHZN5bZT0g894q6wGZ94nMekDmvVXWAzLvrbIekHkfS9YDMu+tsh6QeW+V9YDM+1iyHpB5b5X19ePp+bLKekDmfSxZD8i8t8p6QOa9VdYDMu8TmfWAzHurrAdk3ltlPSDzPpasB2TeW2U9IPPeKusBuW9iyXpA5r1V1gMy762yHpB5n8isB2TeW2U9IPPeKusBmfexZD0g894q6wGZ91ZZD1jnvVXWAzLvrbIekHlvlfWAzPtYsh6Qc2SV9YDM+9PJ+qR/Jtxmq9+xdrsdHo8HOTk6CLKyslBRUWHVlYiIiIiIiOiMktSb8KKiIuzevdt4vHHjRnTq1Ml4XFJSgsLCwsa6EhEREREREZ1xkvrr6DNmzEA4rH+NpHfv3mL5ihUr+EfZiIiIiIiIqMVI6k349OnToy6fN29eM1VCRERERERE1PSS/plwIiIiIiIiou8K3oQTERERERERNRPehBMRERERERE1E96EExERERERETUT3oQTERERERERNRPehBMRERERERE1E96EExERERERETWTpH5PeFP5JpQuHnf0HDXa9mq9yTldA0Z7w6a2os+wDgeMdlq1y2jv/zxbrNez5yGjXV2sX9P4sixPrNc6rc5o+w7q8d4P54j1rjn3a6Nd9bVez50ZMtpHvs0QfT6q0891xSX7jXbZu5livRwVMdoZFxYa7XbVZWK9khI9Xn5WjdHeU6VrHdxvP6wc2qPra9PVJ5alucP6gekloMJhcoyIT8/Xrnf187YtrDTaPTIqRJ+jPq/RPlKqa8g/q1qsV7ozq9FlwZB8TSoSthnt1p31PHz+SYHR7timUvRxZ+vt8/ZtZbTX/1Uek7304QWXS/c5J1tu05Gjul8g7DDarXxyXtt30P0qyvU8tG6v19t/JEv0yQ/p7es8XM938Vp5fLmgj5uj5bqeXKeswZmtx9u6vo3R3ulyG+2OPpfoo5RuZ2To8/FAqTzPBg3QE1a2S9eXkeUX6/kr9RxFlK7HnqbX2RyR8zDxAr19Zct1n9zMOrFem+56e6u/NZ2b3pBY79gevb3VVbrd7d4isV5g6adGu0NffRyt/eAso92+Sm5frwsPG+1InZ68Y/s8Yj3TqY70XD2vh/fLa0LhOfp5HQf0eHWm/eTzpYk+3X6k56X6Mz22za7Eek6PPq57XqaPz3C1nK+w6fQs26i3o67OdNy0PSb6pLfXG9gupLfh6CF5nlWWyNqPc7tkDeb5yumk53x7mZ6HDh55vBd20c9btk8fU0WjgmK98FG+1t2UzHkfS9YDMu+tsh6QeW+V9YDM+0RmPSDz3irrAZn3VlkPyLyPJesB67w3Zz0g894q6wGZ97FkPSDz3irrAZnpVlkPyLyPJesBmfdWWQ/IvLfKekDmfSKzHpB5b5X1gMx7q6wHZN7HkvWAzHurrAdk3ltlPSDzPpasB2TeW2U9IPPeKusBmfeJzHpA5r1V1gMy762yHpB5H0vWAzLvrbIekHlvlfWAzPtYsh6QeW+V9YDMe6usB2Tex5L1gMx7q6wHZN6fTtYn9Sbc7/fDbrfD5arf+C+//BLPPfccSkpK0LlzZ9x4443o0qVLMkskIiIiIiIiSpikvkQ/atQovPbaawCADRs24LzzzsObb76JYDCIt99+G71798bGjRuTWSIRERERERFRwiT1Jvzf//43+vTpAwD4xS9+gVtvvRVbt27F//7v/2LLli2YNWsWZs+encwSiYiIiIiIiBImqTfh4XAY4XD9Zwl27NiBqVOniuXTpk3D1q1bk1EaERERERERUcIl9TPhgwYNwhtvvIEePXrg7LPPxtatW413xgHgk08+QatWraKMUP+5cr9f/vGioArDZXNY9CAiIqIzDfOeiIhaiqTehD/88MMYPXo0fD4fJk2ahLvvvhu7d+9Gz549sXPnTjz55JOYM2dO1DHmz5+Phx56SPxsQkZvTMw8vylLJyIiombEvCciopYiqTfhgwcPxooVKzBr1ixs2rQJAPDII48AANq3b48HH3wQP/vZz6KOMWfOHMyaNUv87J1zbm6agomIiCgpmPdERNRSJP17wgcPHoyNGzfi0KFD2Lt3LyKRCAoLC1FUVBRTf7fbDbdbfsccfzWNiIioZWHeExFRS5HUP8wGANu3b8fixYtx5MgRDBo0CHl5eXj00Udxww034N133012eUREREREREQJk9R3wleuXImxY8ciMzMTNTU1WL58OaZMmYI+ffogEolg5MiRWLVqFYYPH57MMomIiIiIiIgSIqnvhM+dOxezZ89GeXk5Fi9ejGuuuQY333wzVq9ejbVr12L27NlYsGBBMkskIiIiIiIiSpikvhO+bds2LFmyBAAwfvx4XHfddRg3bpyxfPLkyVi8ePEpj9uvfZl4HKzRnxlzuCJGu2RLjtHu464QfcrLMox2frtqo53mDov1/NV67Jye+udtD9aI9Y7VeYx2pzbHjPbwiqNivb0f5xnt7Kw6o11X44KVXjZd37Ftup68zFqx3j6frqHu3weMdqBGfsau+4DDeryvdJ+z/HqbynZlij52hzLa+UU+vd4euV44ol/3aZUdMNqHN8p5dXn0eF530PRzvf++qc4Sfc7KrDLa2fl622sr5Nzln6Xny9PBZrRzjtSJ9Wp8aXq9Kl2D16FrPXQkQ/TxmrbJseuI0T7XdNwBQFaOfq7SMr0dVWFZa/eOel/YdKnwV8tT13xcRyK2RtcryJTHpNmXq9ONttsVEssC0MeU06GfJ1gm1wvX6uftVlRutFsd1HOU2UbO8aF9etsdTj1eXVh+znPlvzsa7QsLDhrtnHOCYr3gEX3ceEzj1ZTq8XqEZA2H1+nHbdrrfXv0YLpYz3dAz6UnRz9vRalXrFfwPf0VShUb9bK6lZ+K9WqP6uMLSo/X3V1ptAvPqTR3QeVX+vjwVejzNj0rINbL6qgf1x3W224+7gDAX6mXRZQNjakMpInHpe+bvyJK11BbK4/dXNN4pR/pMXLbyXP96H49zwXn6WtHuFrXWvGtR/SJ1On9HKjV++VwrdwX2bl6DHemPh72H8wR67XuqJ+3+oDejsI0fc7UBeU5V2Y6dvMKdH/fF/Jct5mujZR45ryPJesBmfdWWQ/IvBdZf56swZz3ych6QOa9VdYDMu9jyXpA5r1V1gMy762yHpB5H0vWAzLvrbIekHlvlfWAzPtYsh6QeW+V9YDMe6usB2TeJzLrAeu8N2c9IPPeKusBmfexZD0g894q6wGZ91ZZD8i8jyXrAZn3VlkPyLy3ynpA5n0isx6QeW+V9YDMe6usB+SxF0vWAzLvrbIekHlvlfWAzPtYsh6QeW+V9YDMe6usB2Tex5L1gMx7q6wHZN6fTtYn/TPhtv9/tbHb7fB4PMjJ0ZOVlZWFiooKq65EREREREREZ5Sk3oQXFRVh9+7dxuONGzeiU6dOxuOSkhIUFhYmozQiIiIiIiKihEvqr6PPmDED4bD+VYXevXuL5StWrOAfZSMiIiIiIqIWI6k34dOnT4+6fN68ec1UCREREREREVHTS/pnwomIiIiIiIi+K3gTTkRERERERNRMeBNORERERERE1Ex4E05ERERERETUTHgTTkRERERERNRMeBNORERERERE1Ex4E05ERERERETUXFQLVVdXpx544AFVV1eXlP6sIbXGYA2sgTWwhlSugU5PKuw71sAaWANrYA2pX0Mixkhk1rfYm/CKigoFQFVUVCSlP2tIrTFYA2tgDawhlWug05MK+441sAbWwBpYQ+rXkIgxEpn1/HV0IiIiIiIiombCm3AiIiIiIiKiZsKbcCIiIiIiIqJm0mJvwt1uNx544AG43e6k9GcNqTUGa2ANrIE1pHINdHpSYd+xBtbAGlgDa0j9GhIxRiKz3qaUUnGPQkREREREREQn1WLfCSciIiIiIiJKNbwJJyIiIiIiImomvAknIiIiIiIiaia8CSciIiIiIiJqJrwJJyIiIiIiImomzmQXkCiHDx/Gc889h40bN6K0tBQA0K5dOwwZMgTTpk1DmzZtklwhERERxYNZT0RELUGL+Iqyjz76CKNGjUJ6ejpGjBiBtm3bAgAOHjyItWvXoqamBu+88w4GDBgQ85g+nw9Lly7Fnj17UFhYiEmTJqF169ZNtQkJ9eGHH57wH5TBgwfjggsuOOWxvvrqK2MOevfunehSmxTnAQgEAnj11Vcb/Q/r2LFjkZaWdkrjKaXw3nvvGXMxatQouFyupig9oVJhHlKhhuNKS0uxadMmUcegQYPQrl27U6oBAILBIIqLi1FQUICcnJxT7p9MnIczC7NeSmTGAWduznEeUitfkikV5iEVajgukRkHnLk5l7LzoFqAQYMGqVtuuUVFIpETlkUiEXXLLbeoH/zgB1HH6NmzpyovL1dKKVVSUqKKiopUTk6OGjhwoGrVqpUqKChQe/fuPWktfr9fvfzyy+rOO+9UEydOVBMnTlR33nmnWrp0qfL7/ae0XZFIRL377rvqz3/+s3rjjTdUIBCIuv7BgwfVRRddpGw2m+rcubO64IIL1AUXXKA6d+6sbDabuuiii9TBgwct+8+YMUNVVVUppZSqqalRV199tbLb7cpmsym73a4uvfRSY/nJbNq0Sf3ud79T9913n7rvvvvU7373O7Vp06bYN76BvXv3qlWrVqnPPvvspOtyHurt3r1bde3aVXk8HjVs2DA1fvx4NX78eDVs2DDl8XhUt27d1O7du6OOMXr0aHXs2DGllFLl5eVq0KBBymazqTZt2ii73a569OihysrKTlrLd30eUqEGpZSqrq5WkydPVg6HQzmdTlVQUKAKCgqU0+lUDodDXXvttcrn81n2f/TRR1VNTY1SSqlQKKTuvvtulZaWpux2u3I6ner6668/6XXquEQeE6dyPCiVWvNAsWPW14s345RKXM6dyVmvVMuYh1TJl+OSdW1PhXlIhRqUij/jlEpcziXz3EileWhMi7gJ93g8avv27ZbLt2/frjweT9QxbDabcbGePHmyGjJkiHESVFVVqREjRqhJkyZFHSPeky/eE+/qq69WgwcPVjt27Dhh2Y4dO9SQIUPUuHHjLPvb7XZjDubMmaPOOuss9e677yqfz6fWr1+vzj77bHXfffdFnYNUCEXOQ70RI0aosWPHqoqKihOWVVRUqLFjx6qRI0dGrcF8XsyYMUP16tXL+A/q119/rfr376+mT5/OeTjJPKRCDUopdeONN6pzzjlHrVy5UoVCIePnoVBIvfPOO+rcc89VN910k2V/87nxm9/8RuXl5annnntObdu2Tf31r39VBQUF6tFHH41aQyq8SJYK80CnjllfL96MUyr+nEuFazvnoV6q5Euyr+2pMA+pUINS8WecUvHnXCqcG6kwD9G0iJvwoqIi9Ze//MVy+V/+8hfVuXPnqGOYD/quXbuqVatWieUbNmxQHTt2jDpGvCdfvCdeZmam2rJli+XyzZs3q8zMzJiev3fv3upvf/ubWP7aa6+pc88917K/UqkRipyHel6vN+orhZ9++qnyer1RazDPRffu3dVrr70mlq9Zs0Z16dLFsj/nIXVqUEqp3NxctWHDBsvl69evV7m5uTHV0K9fP/WnP/1JLP/rX/+qzjvvvKg1pMKLZKkwD3TqmPX14s24hjWcTs6lwrWd81AvVfIl2df2VJiHVKhBqfgzrmEdp5NzqXBupMI8RNMibsIXLlyo3G63mjlzpnrttdfUBx98oD744AP12muvqZkzZyqv16v++Mc/Rh3DZrMZrzy3b9/+hJOouLj4pK+wx3vyxXvitW7dWr333nuWy9etW6dat24d9fmPz0F+fr76/PPPxfLi4uKTXjxSIRQ5D/UKCwvVG2+8Ybn89ddfV4WFhSet4fhcFBQUNDoXbrfbsj/nIXVqUEqp7Oxs9dFHH1ku//DDD1V2dnZMNbRu3fqE693evXtVenp61BpS4UWyVJgHOnXM+nrxZtzxGuLJuVS4tnMe6qVKviT72p4K85AKNSgVf8Y1rON0ci4Vzo1UmIdoWsRfR7/tttuQn5+PJ554Ak899RTC4TAAwOFwoH///nj++ecxfvz4k45z2WWXwel0orKyEjt37hR/kGPfvn0n/WMtubm5KC4utvxDHsXFxcjNzY06hs1mAwAcPXoUZ599tljWrVs37N+/37LvhAkTMHXqVDzxxBO47LLLkJ2dDQCorKzE2rVrMWvWLEyaNCnq899///1IT0+H3W7H/v37cd555xnLysvLkZGREbW/2+1GZWWl5fKqqiq43e6oYwB6HkpLS/G9731PLOvTpw++/vpry76ch3o33XQTpkyZgvvvvx+XXXbZCX/E6OGHH8Ydd9xx0hqmTZsGt9uNYDCIr776SsxFaWlp1GOa85A6NQDAT37yE9xyyy149tln0a9fP7Hs3//+N2bMmIExY8ZEHeOZZ55BZmYm0tLScOTIEbEslv2ZiGMinuMBSI15oFPHrK+XiIwD4su5VLi2cx7qpUq+JPvangrzkAo1AInJOCC+nEuFcyMV5iGaFnETDtRfjCdMmIBgMIjDhw8DAPLz82P+C4IPPPCAeJyZmSkev/HGG7j44oujjpGIky+eE+/xxx9HJBLBxIkTEQqFjL/AGAgE4HQ6ceONN+Kxxx6z7D906FDs3LkTANCrVy/s27dPLH/77bdFPY1JhVC0mge/3w+Xy/WdmYe5c+ciIyMDv/nNb3D33XcbFzKlFNq1a4d7770X99xzT9Tnnzp1qtEeO3YsampqxPJXXnkFffv2tezPeUidGgBg4cKFuOaaa9C/f3/k5eWhoKAAAFBWVoZjx45h1KhRWLhwoWX/Tp064ZlnngFQH7BbtmzB0KFDjeXr1q1D9+7do9aQCi+SpcI80Olh1sef9UD8OZcK1/Z4sx5oGfOQKvmS7Gt7KsxDKtQAxJ9xQPw5lwrnRirMQzQt4ivKUsmjjz6K3//+9ygtLT3h5LvzzjujnnzXX3+9eDx69Gjxqv4999yDTz/9FCtXroxaQ2VlJT7++GPxp/j79+9vnACna+/evUhLS8NZZ51luY7f78edd96J5557zvI/B0888UTUV40uueQSY+4AYPLkybjpppuMxw8//DDWrFmD9957L2q9lZWV2Lx5Mw4ePAgAaNu2LQYMGHDa86CUgs1mO+PmAaj/yhXz8dClS5eT9omFz+eDw+GAx+NpdDnnITVr2L59Oz744IMTvtKnR48ecdXwwQcfwO12n/CKs1m8x0Qij4dkzgOd2Vpy1gMnz/tUurYnOuuB2PM+leYBSG6+pNK1PRVyNhVqaKqMA06ec6l0biRzHqLhTXgTaYqT71ROvGRL5n8OrKSlpWHr1q3o2bPnaT3v6fRPxXlIhob/SfouzsOBAwewaNEirF+/HgcOHIDdbkfXrl1x5ZVXYtq0aXA4HM0yRqpI5ouFRInCrE+9jIs3609njFSch2Rpqrw/U+aBWS/x3LDGm/Bm9PXXX+OBBx7Ac88912T9a2tr8fHHH6NVq1bo1auXWFZXV4elS5diypQpTdYf0K84HX+VaceOHfj9738Pv9+Pa6+9FsOHDz/pth4fY8iQIejevfspjTFr1qxGf/773/8e1157rfF5v8cff7xJ+jfG5/Nh6dKl2LNnD9q3b4+JEyee9HOH0cYoLCzEpEmToo6xZcsW5OXlGf8pfOGFF/D000+jpKQEnTt3xu23346JEydGfc54x7jjjjswfvz4k/56ZzSJGGPhwoX48MMP8aMf/QgTJ07ECy+8gPnz5yMSieA//uM/MHfuXDid0T+dE88YmzdvxogRI9CtWzd4vV5s3LgR11xzDQKBAN555x306tULK1euRFZWluXzJ2IMoP5V6FdffRUbN24UoThkyBCMHTvWeLW6qfqnkm+++Qa5ubkn/EpyMBjExo0bxa+cNUV/apnOhKxPxBhnetYnagyz72rWA/FnNbM+cWMAicnqlpL3icjqJsn70/pzbnRaPvnkE2W325us/86dO43v37Pb7Wro0KHq22+/NZaXlpaecv/9+/fH3F8ppVasWKHS0tJUq1atlMfjUStWrFBt2rRRI0aMUMOHD1cOh0OtXbu2Scew2Wyqb9++6pJLLhH/bDabGjhwoLrkkkvUpZde2mT9lVKqZ8+eqry8XCmlVElJiSoqKlI5OTlq4MCBqlWrVqqgoMD4SppYx+jcufMpjfG9731PrV69Wiml1DPPPKO8Xq+aOXOmWrRokbrzzjtVZmamevbZZ6PWEO8Yx4+lc845Ry1YsEAdOHAg6vM1xRi/+tWvVFZWlrr66qtVu3bt1IIFC1Tr1q3Vww8/rObNm6fatGmjfvnLXzbpGBdeeKF68MEHjccvvPCCGjRokFJKqSNHjqi+ffuqmTNnRq0hEWPE+/3G8faPRWlpqXrooYeatP/+/fvVwIEDld1uVw6HQ1133XXiu0ZPdq2Ltz+1bKme9VZjnEret4SsT8QYzHot3qxm1idujERkdVPnfbxZH8sYicjqpsx73oQn0GuvvRb13xNPPBF1R8Xb/8orr1Q//vGP1aFDh9Tu3bvVj3/8Y9WlSxe1b98+pdTJD5R4+yul1ODBg9UvfvELpZRSL730ksrLy1P/9V//ZSy/77771A9/+MMmHWP+/PmqS5cuJ4S30+lU27Zti/rcieivlPxahcmTJ6shQ4aoY8eOKaWUqqqqUiNGjFCTJk1q0jG8Xq8qLi5WStV/t+Gf//xnsfzFF19UvXr1ilpDvGPYbDa1Zs0a9bOf/Uzl5+crl8ulrrjiCvXGG2+ocDgc9bkTNcbZZ5+tXnnlFaVU/X9uHQ6H+utf/2osX7ZsmerWrVuTjuH1etWXX35pPA6Hw8rlcqnS0lKllFKrVq1S7du3j1pDIsaI9/uN4+0fi6a+gVFKqSlTpqhBgwapjz76SK1evVr1799fDRgwQB05ckQpVX+ts9lsTdafzmxnetYnYoyWkPWJGINZL7cjnqxm1idujERkdVPnfbxZH8sYicjqpsx73oQn0PFX8Ww2m+W/aAdLvP0LCgrUp59+ajyORCJq+vTpqlOnTurLL788aajG21+p+u/kO/7KWDgcVk6nU3xP4Geffabatm3b5GN8+OGH6txzz1V33323CgQCSqlTC+Z4+5tDtWvXrmrVqlVi+YYNG1THjh2bdIzWrVurzZs3K6Xq9+0nn3wilu/Zs+ek33ce7xjmbQgEAurll19Wo0aNUg6HQ7Vv317913/910lfSY13DK/Xa/zHUimlXC6X+N7N4uLik37HY7xjdO7cWa1fv954vH//fmWz2VRNTY1SSqmvvvrqpN9NnIgx4v1+43j7K6XU1q1bo/57+eWXo15n4u2vVP33Q2/atMl4XFdXp8aMGaP69u2rysvLT3qti7c/ndnO9KxPxBgtJevjHYNZ3/h2nE5WM+sTN0YisjreMRKR1fGOkYisbsq8t5/6L7CTlcLCQixbtgyRSKTRf1u2bGnS/rW1teJzKjabDYsWLcKYMWMwbNgw7Nq1q0n7m/sBgN1uh8fjQU5OjrEsKysLFRUVTT7GwIED8fHHH+PQoUMYMGAAPv/8c/EXFk8m3v7mbairq0NhYaFY1qFDBxw6dKhJxxg9ejQWLVoEABg2bBj+/ve/i+VLly5Ft27doj5/IsY4zuVyYfz48Vi5ciX27t2Lm2++GS+++OIpfbXD6YzRrl07fPHFFwCA3bt3IxwOG48BYNu2bcbXVjTVGFdeeSWmT5+OlStXYt26dZg8eTKGDRsGr9cLANi5cyc6dOgQtYZEjHH8+42tnOz7jePtDwB9+/ZFv3790Ldv3xP+9evX76SfO4y3PwBUVFQgLy/PeOx2u7Fs2TIUFRXh0ksvRVlZWZP2pzPbmZ71iRqjJWR9IsZg1p8o3rxn1ic36xMxRiKyOt4xEpHVTZr3p3XrTo0aM2aMuv/++y2Xf/LJJ1F/ZSHe/gMHDlRLlixpdNltt92mcnNzo75aE29/peo/V7RixQrj8WeffaaCwaDx+P3331ddunRp8jHMXnrpJdW2bVtlt9tP6dXxePrbbDZ1/vnnq379+qnMzEz197//XSz/xz/+oTp06NCkY3z77beqqKhIDR06VM2aNUt5vV510UUXqZtvvlkNHTpUpaWlqbfeeitqDfGOYX5luzGRSOSEV/0TPcZ///d/qzZt2qibbrpJdenSRd13332qU6dOatGiRerpp59WHTt2VHfddVfUGuIdo6qqSo0fP145nU5ls9nUkCFDxGf83nnnHbV06dKoNSRijPvvv1/l5eWpxx9/XG3dulWVlpaq0tJStXXrVvX444+rVq1aqQceeKDJ+itV/47Ls88+q4qLixv999Zbb0W9zsTbXymlzj///BPOJ6WUCgaD6sorr1SdOnWKOka8/enMdqZnfSLGaIlZfzpjMOvldsST1cz6xI2RiKyOd4xEZHW8YyQiq5sy73kTnkDvv/++CJSGqqur1Xvvvddk/efNm6dGjx5tuXzGjBlRgz3e/koptWjRIvXmm29aLp8zZ4668cYbm3yMhr7++mv16quvqurq6lPqd7r9H3zwQfFv5cqVYvnPf/5zNXHixCYf4+jRo+ree+9VvXr1Uh6PR6WlpanOnTura665Rn300UcxbUs8YxQVFanDhw/H9DxNNUY4HFaPPPKI+slPfqLmzZunIpGIeumll1THjh1V69at1bRp0066XxMxhlJK1dbWij/ocTriHWPBggWqsLDQ+JXX478WW1hYqB599NEm7z9y5Ej1q1/9ynL5yW5A4u2vlFL33HOP5WfZgsGguuKKK6KOEW9/OrOd6VmfiDFaataf6hjMei3erGbWJ3aMeLM63jESkdXxjpGIrG7KvOdXlBERfQfF+/3Gp9t/+fLl8Pl8uPbaaxtdfvToUbz++uuYOnVqk/QHgFAohJqaGsvvKQ2FQvj222/RuXPnJulPRETUHOLN+tMdIxFZHe8Yicjqpsx73oQTERGA5vl+4zMB54GIiFqqRGRUS8i5ZM8D/zAbEREBAI4cOYK//OUvSesP1AfaDTfckLT+QGrMAxERUVNIREbFO0YisjreMZI9D86Tr0JERC3B66+/HnX53r17m7R/LI4H2um+Mh1L/zNhHoiIiE5HIjKqqXMu3qyPZYxUnwf+OjoR0XeE3W6HzWZDtMu+zWZDOBxukv5AbIF29913W44Rb38gNeaBiIioKSQio+IdIxFZHe8YqTAP0fAmnIjoO6JDhw546qmnMHbs2EaXf/LJJ+jfv79lmMTbH0iNG+BUmAciIqKmkIiMineMVLgBToV5iIafCSci+o7o378/Pv74Y8vlJwu7ePsDQGFhIZYtW4ZIJNLovy1btjRp/0RsRyLmgYiIqCkkIqPiHSMRWR3vGKkwD9HwM+FERN8Rs2fPhs/ns1zerVs3rFu3rsn6AzrQrF5VjvUG+HT7A6kxD0RERE0hERkV7xiJyOp4x0iFeYiGv45ORETN5p///Cd8Ph8uv/zyRpf7fD5s3rwZw4YNa5L+RERE1LQSkdUtPe95E05ERERERETUTPiZcCIiIiIiIqJmwptwIiIiIiIiombCm3AiIiIiIiKiZsKbcKIU9fzzzyM3NzfqOg8++CD69u0bdZ1p06bhyiuvTFhdRERElBjMeqLvJt6EEzUzq6B87733YLPZcOzYMQDAhAkTsGvXruYtronYbDa8+uqrp9yvqKgIv/vd7xJeDxERUVNi1seOWU/fRfyecKIU5fV64fV6k10GERERNRFmPdF3E98JJ0pRjf2K2oIFC9C2bVtkZWXhxhtvRF1dnVgeDocxa9Ys5ObmonXr1rjnnnvQ8FsII5EI5s+fjy5dusDr9aJPnz74+9//biw//ir92rVrMWDAAKSnp2PIkCHYuXOnZa2BQAC33347CgsL4fF40LlzZ8yfPx9A/SvcAHDVVVfBZrMZj7/88kuMHTsWbdu2RWZmJgYOHIg1a9YYY15yySXYt28f7rrrLthsNthsNmPZ+vXrcfHFF8Pr9aJjx46YOXMmfD5fzHNLRESUCpj1zHr6buJNONEZYunSpXjwwQcxb948bN68GYWFhXjqqafEOr/97W/x/PPP47nnnsP69etx5MgRLF++XKwzf/58LFmyBE8//TS2bduGu+66C9deey3+8Y9/iPV+8Ytf4Le//S02b94Mp9OJG264wbK2J598Eq+//jqWLl2KnTt34sUXXzQC+KOPPgIALF68GAcOHDAeV1dX40c/+hHWrl2Lf//737j88ssxZswYlJSUAACWLVuGs846C3PnzsWBAwdw4MABAPWBfvnll+Pqq6/Gp59+ipdffhnr16/H7bfffvqTS0RElAKY9cx6+o5QRNSspk6dqhwOh8rIyBD/PB6PAqCOHj2qlFJq8eLFKicnx+g3ePBgdeutt4qxBg0apPr06WM8LiwsVL/+9a+Nx8FgUJ111llq7NixSiml6urqVHp6uvrXv/4lxrnxxhvVpEmTlFJKrVu3TgFQa9asMZa/9dZbCoCqra1tdJvuuOMONXz4cBWJRBpdDkAtX7482rQopZQ677zz1B/+8AfjcefOndUTTzxxQq233HKL+Nk///lPZbfbLesjIiJqTsx6a8x6IqX4TjhRElx66aX45JNPxL//+Z//idpn+/btGDRokPjZ4MGDjXZFRQUOHDgg1nE6nRgwYIDxeM+ePaipqcEPf/hDZGZmGv+WLFmCL7/8Uoz9ve99z2gXFhYCAMrKyhqtbdq0afjkk0/QvXt3zJw5E6tWrTrJDNS/Ov7zn/8cPXv2RG5uLjIzM7F9+3bj1XErW7duxfPPPy/qHzVqFCKRCL766quTPi8REVFzYNYz64ms8A+zESVBRkYGunXrJn72zTffNPnzVldXAwDeeustdOjQQSxzu93iscvlMtrHP6MViUQaHff73/8+vvrqK6xYsQJr1qzB+PHjMWLECPH5s4Z+/vOfY/Xq1XjsscfQrVs3eL1ejBs3DoFA4KTb8NOf/hQzZ848YVmnTp2i9iUiImouzHpmPZEV3oQTnSF69uyJTZs2YcqUKcbPPvjgA6Odk5ODwsJCbNq0CUOHDgUAhEIhfPzxx/j+978PAOjVqxfcbjdKSkowbNiwhNaXnZ2NCRMmYMKECRg3bhwuv/xyHDlyBK1atYLL5UI4HBbrb9iwAdOmTcNVV10FoD5wi4uLxTppaWkn9Pv+97+PL7744oT/2BAREZ3pmPX1mPXU0vEmnOgM8bOf/QzTpk3DgAEDcOGFF+LFF1/Etm3b0LVrV7HOggULcM4556BHjx54/PHHje8iBYCsrCz8/Oc/x1133YVIJIKLLroIFRUV2LBhA7KzszF16tTTqu3xxx9HYWEh+vXrB7vdjv/7v/9Du3btjL/4WlRUhLVr1+LCCy+E2+1GXl4ezjnnHCxbtgxjxoyBzWbD/ffff8Kr70VFRXj//fcxceJEuN1u5Ofn495778UPfvAD3H777bjpppuQkZGBL774AqtXr8bChQtPq34iIqJUwKxn1tN3Az8TTnSGmDBhAu6//37cc8896N+/P/bt24cZM2aIde6++25cd911mDp1KgYPHoysrCzj1efjfvWrX+H+++/H/Pnz0bNnT1x++eV466230KVLl9OuLSsrC7/+9a8xYMAADBw4EMXFxXj77bdht9dfYn77299i9erV6NixI/r16wegPszz8vIwZMgQjBkzBqNGjTJexT9u7ty5KC4uxtlnn402bdoAqP/82j/+8Q/s2rULF198Mfr164df/vKXaN++/WnXT0RElAqY9cx6+m6wKdXgiwWJiIiIiIiIqEnwnXAiIiIiIiKiZsKbcCIiIiIiIqJmwptwIiIiIiIiombCm3AiIiIiIiKiZsKbcCIiIiIiIqJmwptwIiIiIiIiombCm3AiIiIiIiKiZsKbcCIiIiIiIqJmwptwIiIiIiIiombCm3AiIiIiIiKiZsKbcCIiIiIiIqJmwptwIiIiIiIiomby/wBNTHoA1lnOHgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_idx = 0\n",
    "head_idx = 12\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(12, 6), sharey=True)\n",
    "\n",
    "sns.heatmap(\n",
    "    t_with, \n",
    "    ax=ax1, \n",
    "    cbar=False,\n",
    ")\n",
    "ax1.set_title(\"Left-hand side of the equation\")\n",
    "ax1.set_ylabel(\"Position\")\n",
    "ax1.set_xlabel(\"Hidden state\")\n",
    "\n",
    "sns.heatmap(\n",
    "    t_test, \n",
    "    ax=ax2, \n",
    "    cbar=False,\n",
    ")\n",
    "ax2.set_title(\"Right-hand side of the equation\")\n",
    "ax2.set_xlabel(\"Hidden state\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Therefore, indeed, the only differnce between the activations of the prefixed and the non-prefixed activations is the bias along the `bias_dir` direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "venv",
   "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": "3.10.12"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}