performance.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4c42d7a4-569f-46ad-8009-9ddbf62c8f1a",
   "metadata": {},
   "source": [
    "# Evaluating performance\n",
    "\n",
    "Analysis by [Laurent Lessard](https://laurentlessard.com/) and [Vincent Tjeng](https://vtjeng.com).\n",
    "\n",
    "This file applies the strategy from `wordle_solver.ipynb` to all possible words and creates histograms to show the results. \n",
    "\n",
    "For efficiency, `performance.ipynb` pre-computes and cache all possible measurements of word pairs (via `cache_word_scores`) and works with the indices of the words in the `ALL_WORDS` list, rather than the words themselves. This improves efficiency significantly as we run the strategy repeatedly on all words in the dictionary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e4060d2f-045d-462d-a4ad-b412b5f2bbbb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# for prop, freqtable\n",
    "using FreqTables\n",
    "include(\"utils.jl\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0e042948",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 11.968786 seconds (171.57 M allocations: 14.139 GiB, 7.69% gc time, 0.03% compilation time)\n"
     ]
    }
   ],
   "source": [
    "cache_word_scores(ALL_WORDS, SOLUTION_WORDS)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86640e81",
   "metadata": {},
   "source": [
    "## Helper Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2cbf9e70",
   "metadata": {},
   "outputs": [],
   "source": [
    "function get_display_text(heuristic::Heuristic)::String\n",
    "    if heuristic == PRIORITIZE_MAX_GROUP_SIZE\n",
    "        return \"size\"\n",
    "    elseif heuristic == PRIORITIZE_ENTROPY\n",
    "        return \"entropy\"\n",
    "    elseif heuristic == PRIORITIZE_SPLITS\n",
    "        return \"splits\"\n",
    "    end\n",
    "    throw(ArgumentError(\"Unexpected heuristic.\"))\n",
    "end\n",
    "\n",
    "\n",
    "function word_stats(\n",
    "    starting_word::Int;\n",
    "    guess_all_words::Bool = false,\n",
    "    heuristic::Heuristic = PRIORITIZE_ENTROPY,\n",
    "    hard_mode::Bool = false,\n",
    ")\n",
    "    num_turns = get_num_turns(\n",
    "        guess_all_words ? ALL_WORD_IDXS : SOLUTION_WORD_IDXS,\n",
    "        SOLUTION_WORD_IDXS,\n",
    "        heuristic = heuristic,\n",
    "        hard_mode = hard_mode,\n",
    "        starting_word = starting_word\n",
    "    )\n",
    "    return [prop(freqtable(num_turns)), Statistics.mean(num_turns), maximum(num_turns)]\n",
    "end\n",
    "\n",
    "function generate_stats(;\n",
    "    guess_all_words::Bool = false,\n",
    "    hard_mode::Bool = false,\n",
    "    heuristic::Heuristic = PRIORITIZE_ENTROPY,\n",
    "    max_val::Int = 0\n",
    ")\n",
    "    num_turns = get_num_turns(\n",
    "        guess_all_words ? ALL_WORD_IDXS : SOLUTION_WORD_IDXS,\n",
    "        SOLUTION_WORD_IDXS,\n",
    "        heuristic = heuristic,\n",
    "        hard_mode = hard_mode,\n",
    "        verbose = true\n",
    "    )\n",
    "\n",
    "    heuristic_text = get_display_text(heuristic)\n",
    "    fn_1 = hard_mode ? \"hard_mode_\" : \"\"\n",
    "    fn_2 = guess_all_words ? \"any_guess_\" : \"solutions_only_\"\n",
    "    tt_1 = hard_mode ? \"hard mode, \" : \"\"\n",
    "    tt_2 = guess_all_words ? \"any guess allowed \" : \"only guess from solutions list \"\n",
    "    plot_num_turns(\n",
    "        num_turns,\n",
    "        title_text = \"$(tt_1)$(tt_2)(max-$(heuristic_text))\",\n",
    "        saved_filename = \"strat_using_$(fn_1)$(fn_2)prioritize_$(heuristic_text).png\",\n",
    "        max_val = max_val\n",
    "    )\n",
    "\n",
    "    println(\"\\nProportions\")\n",
    "    println(prop(freqtable(num_turns)))\n",
    "\n",
    "    println(\"\\nMean Score\")\n",
    "    println(Statistics.mean(num_turns))\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04ee702f-3f05-4a36-a870-8f28e910f427",
   "metadata": {},
   "source": [
    "## Comparison of different starting words (simple strategy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "20a1e1b1-039e-4ae7-b737-d3bd3e48ef58",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3931.914005 seconds (86.25 G allocations: 4.153 TiB, 9.40% gc time, 0.05% compilation time)\n"
     ]
    }
   ],
   "source": [
    "@time begin\n",
    "solnstats = [ word_stats( i, heuristic=PRIORITIZE_SPLITS, hard_mode=false, guess_all_words=false ) for i in SOLUTION_WORD_IDXS ]\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e032849e-28b3-4b43-b87e-9872c83b1771",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
      "[\"model\", \"react\", \"sower\", \"unmet\", \"forth\", \"wooer\", \"biome\", \"labor\", \"world\", \"group\"]\n",
      "[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n",
      "[\"tenth\", \"theft\", \"mamma\", \"chess\", \"magma\", \"setup\", \"gummy\", \"scree\", \"sully\", \"snore\", \"feral\"]\n",
      "[3.447812906019922, 3.4538761368557815, 3.454309224772629, 3.454309224772629, 3.461238631442183]\n",
      "[\"slate\", \"trace\", \"crate\", \"crane\", \"slant\", \"least\", \"stale\", \"trice\", \"roast\", \"stare\"]\n"
     ]
    }
   ],
   "source": [
    "figure(figsize=(12,4))\n",
    "subplot(1,2,1)\n",
    "mxs = [solnstats[i][3] for i in SOLUTION_WORD_IDXS]\n",
    "maxes = countmap(mxs)\n",
    "k = collect(keys(maxes))\n",
    "v = collect(values(maxes))\n",
    "bar( k,v, zorder=2  )\n",
    "xticks(k)\n",
    "yticks(0:200:2200)\n",
    "xlabel(\"worst-case number of guesses required\")\n",
    "ylabel(\"common guess words\")\n",
    "title(\"distribution of the worst-case number of guesses\")\n",
    "grid(zorder=1)\n",
    "for i in 1:length(k)\n",
    "    text(k[i],250, v[i], horizontalalignment = \"center\")\n",
    "end\n",
    "\n",
    "ix = sortperm(mxs)\n",
    "mm = 10\n",
    "println(mxs[ix[1:mm]])\n",
    "println(SOLUTION_WORDS[ix[1:mm]])\n",
    "println(mxs[ix[end-mm:end]])\n",
    "println(SOLUTION_WORDS[ix[end-mm:end]])\n",
    "\n",
    "subplot(1,2,2)\n",
    "avgs = [solnstats[i][2] for i in SOLUTION_WORD_IDXS]\n",
    "hist( avgs, bins=3.35:0.05:4.15, zorder=2 );\n",
    "grid(zorder=1)\n",
    "xlabel(\"average number of guesses required\")\n",
    "ylabel(\"common guess words\")\n",
    "title(\"distribution of the average number of guesses\")\n",
    "xticks(3.35:0.05:4.15, [\"\",3.4,\"\",3.5,\"\",3.6,\"\",3.7,\"\",3.8,\"\",3.9,\"\",4.0,\"\",4.1,\"\"])\n",
    "xlim([3.35,4.15])\n",
    "ylim([0,600])\n",
    "\n",
    "ix = sortperm(avgs)\n",
    "println(avgs[ix[1:5]])\n",
    "println(SOLUTION_WORDS[ix[1:10]])\n",
    "\n",
    "tight_layout(w_pad=2)\n",
    "savefig(\"figures/common_word_strat_comparison.png\", dpi=400);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1e2906c5-386f-4535-9b11-7e00360402e4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "215.765561 seconds (4.85 G allocations: 162.361 GiB, 7.62% gc time, 0.01% compilation time)\n"
     ]
    }
   ],
   "source": [
    "@time begin\n",
    "solnstats_hard = [ word_stats( i, heuristic=PRIORITIZE_SPLITS, hard_mode=true, guess_all_words=false ) for i in SOLUTION_WORD_IDXS ]\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8fa4bfec-1dd5-4f42-ab4a-4691c8c940f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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01lH+PvHwOv/zn/+IpKQkMXv2bOkca9Omjfjoo49EUlKSGDt2rAAgvv76a2l5fa69AwcOCAsLC/Hss8+Kzz//XCQkJIgxY8Zo9bXs+mrcuLGYOHGi+O6778RXX32lEf89LDs7WzRu3Fg0atRIrFmzRiQkJIg33nhDABCvv/66EEKI3NxckZaWJpydnUWvXr2qjZ9LSkpE7969haWlpXjvvfdEYmKiiIqKEh4eHlr78OHPjoqO18MMFa+kpqYKmUwmXnnlFbFv3z5x4MABsWHDBhEWFia1dffuXdGpUyfh6Ogoli5dKpKTk8WKFSuEUqkUzz33nCgtLdV5XZV57rnnRPfu3Svd9qysrArjo/bt22t9Do8ZM0asW7dOJCUliaSkJPGf//xHWFlZaX0uVnZvyMrKEk5OTqJx48Ziw4YNYt++fWLkyJHS/erhOLUij3st6HIeCiFEQUGBaNu2rVAqlSIuLk58//33Yvr06VI/H74WdL1mygwcOFA888wzVW6nrpiUqoKPj49wdXUVhYWFUlleXp6wt7evNjgKDg4WnTp1qnL977//foV/dJWtz8zMTJw9e7bC9yoKjp555hnpghdCiEuXLgm5XC7+9a9/SWW6BEdCCHHjxo1K/+AoHxzl5OQIKysrMWjQII16f/75p1AoFCI0NFSjHQDiiy++0Kg7aNAg4enpqdXWw86cOSMAiClTpmiUHzt2TAAQb7/9tlRWdqGXBUxVmTp1qtbxLANAqFQqKREkhBBZWVmiXr16IiYmRioLCgoSTZo0kYLbMm+88YawtLQUt27dqrT9CxcuCABi8+bNQgghjhw5IgCI2bNnC3d3d6leQECA6Nmzp/T6lVdeEQqFQvz5558a6xs4cKCwtrYWt2/fFkL83/nRp08frba9vLzE8OHDK+2bEFXvn4r88ccfwszMTIwcOVLnZUpLS4VarRaXL18WAMQ333wjvVe/fn0RHh5e6bJ3794V9vb2YsiQIRrlJSUlomPHjhXevB5Wtn/Kn79ffPGFFDSX0TcpVb5P4eHhAoCYPn26Rvnw4cOFvb29RhkAYWVlpRE03r9/X7Rp00a0atVKKps0aZKoX7++uHz5ssbyH3zwgQAgBcNlQWPLli01gtvKlP2BFBsbq1H++eefCwDi448/lspGjx4tbGxsql3nrVu3hEKhEC+//LJGeVpamgDwSEkpfY5/defSyZMnBQCxa9euSuuU9fXDDz/UKP/rr7+ElZWVmD17ts7rqszAgQNFmzZttMrLtr26f5Upu85SUlIEAPHzzz9L75V9Nq9fv15jme+++04AECtWrNAoX7x4sV5JqUe9FnQ9D8vuDzNmzNCot3XrVgFA47rV9Zopk5SUJACI7777rsptpcfHuItxV23EXeWVlJQItVotNm/eLMzMzDSWfeaZZzRiLyGEWLVqlQAgfv31VyHEg/1ubm6u9eXSnTt3hLOzswgJCZHKKvusLa+quKhbt27Czc1NFBUVabTl4OCgsV91vV9VpuyYlv/8nTJlirC0tJTO/UdJSpXvU6dOnaSEcRm1Wi0aNWokRowYIZXpc+21adNGdO7cWajVao22goODhYuLiygpKRFC/N/1NWrUqCr3R5m5c+cKAOLYsWMa5a+//rqQyWQanyHNmjUTgwcPrnad3377rQAgVq9erVEeExPzyEkpQ8YrZffHsr8tKhITEyPq1asnTpw4oVH+1VdfCQBi3759Oq+rMtbW1mLy5Mla5WXbXtW/ij6Hy5R9Brz77rvCwcFB49yq7N4wZ84cIZPJREZGhkZ5QECAXkmpR70WdD0PV69erfUZIsSDhGX561bXa6bM/PnzRb169UR+fn6V26oL/nyvEnfv3sWJEycwYsQIWFpaSuW2trYYMmRItct3794dP//8M6ZMmYLvv/++wkd/q9OhQwe0bt1a5/qhoaEaj202a9YMPXv2rPLnOYaQlpaGwsJCrUfb3dzc8Nxzz2n9hEYmk2ntww4dOuDy5ctVtlO2HeXb6d69O9q2bavTT7UeRb9+/WBrayu9VqlUcHJykvp779497N+/H88//zysra1x//596d+gQYNw7949HD16tNL1t2zZEs2bN5d+QpSUlARvb2+89tpryMzMxMWLF1FUVIQjR46gf//+0nIHDhyAv7+/1u94x4wZg4KCAqSlpWmUv/DCC1ptd+/eHd999x3mzp2LQ4cOobCwUOf9UlpaqrGtJSUlUv9LSkowderUKpfPzs7G5MmT4ebmBnNzc8jlcjRr1gwANH5+0L17d2zcuBGLFi3C0aNHNR6VBx4MXHvr1i2MHj1aoz+lpaUYMGAATpw4ofXYcEWGDh2q8bpDhw4AUO15WZXg4GCN123btgXwYNDa8uW3bt3S+tmSv78/VCqV9NrMzAwvv/wyLly4ID1SvXfvXvTr1w+urq4a2z9w4EAAQEpKisY6hw4dCrlcXm3fDxw4AED7envppZdgY2PzSNfb0aNHUVRUhJCQEI3yHj16VPgoui70Of7VnUutWrWCnZ0d5syZgzVr1uC3337Tam/v3r2QyWR47bXXNNpzdnZGx44dpZ8C6bKuyvz9999VjsmyZMkSnDhxQutf+f0KAH/88QdCQ0Ph7OwMMzMzyOVy9O3bFwC0fuYDaH9OlH3ujhw5UqNc3/GVHvVa0PU8rKyfISEhWmPn6XvNlB0LQ84yQ9oYd+mOcdfjxV3Ag58rDR06FA4ODtJn46hRo1BSUqLx8+SxY8ciNTVV4+f8GzZsQLdu3eDl5QUA+P7773H//n2MGjVKoy+Wlpbo27dvhbNwVRST6RIX3b17FydPnsTw4cM1Jl8o+1n0w3S9X1Wnovjo3r17yM7O1mn5ilR0T5DJZNLnMACYm5ujVatWFZ6n1V17Fy5cwO+//y7dE8qfI9euXdMaoqGiY1KRAwcOoF27dujevbtG+ZgxYyCEkO5b+ii775S/j7/66qt6r6uMIeOVbt26Sf374osvKrwf7t27F15eXujUqZNGe0FBQRo/ldZlXRW5ffs2CgoKqoyPkpOTK4yPWrZsqVX3wIED6N+/P5RKpfQZsHDhQty8eVPr3K7o3nDw4EG0b98eHTt21Cg3RHyky7Wg63l48OBB2Nraal3H5fv5KNeMk5MTSktLK/0poD6YlKpETk4OSktL4ezsrPVeRWXlzZs3Dx988AGOHj2KgQMHwsHBAf7+/jh58qTOfdB3hobK+nrz5k291qOvsvVX1F9XV1et9q2trTUCTgBQKBS4d++eQdsxFAcHB60yhUIhJXBu3ryJ+/fvIy4uDnK5XOPfoEGDAKDSKUrL+Pv7S8FdcnIyAgIC4O3tDZVKheTkZPzwww8oLCzUSErdvHmz0n1R9v7DKqr70UcfYc6cOdi1axf69esHe3t7DB8+HOfPn6+yvwAwbtw4jW0tGxPhxo0bAIAmTZpUumxpaSkCAwOxY8cOzJ49G/v378fx48elIPLh5Njnn3+O0aNH49NPP4Wvry/s7e0xatQo6QPw+vXrAIAXX3xRa/8vWbIEQgjcunWr2u0pf5zLBv/WJ1FXnr29vcbrsgCysvLy10BVnz9lx/f69evYs2eP1raXjVNW/tzT9XPl5s2bMDc31xpcVyaTPfLnStkyDyfaylRUpgt9jn9155JSqURKSgo6deqEt99+G+3bt4erqyveeecdKYF1/fp1CCGgUqm02jt69Ki0v3VZV2XKBlitTIsWLdC1a1etf+WPVX5+Pp599lkcO3YMixYtwqFDh3DixAns2LFDaudh1tbWWjOMlZ0H5a8PXe6DD3vUa0HX87Dsv+X7VVHf9b1myo7F43wWUPUYd+mOcdfjxV1//vknnn32WVy9ehUrVqzA//73P5w4cUIaj+rha33kyJFQKBTSeEm//fYbTpw4gbFjx0p1yu5D3bp10+rP559/rtWXij5rdY2LcnJypHtQeeXLdL1fVae24qOKzlMLC4sKz9Pqrr2yYzJr1iytbZ8yZQqAx4uP9Im/dV2nubm51n551NgIMGy80qdPH+zatUtKvjZp0gReXl7SGLRl7f3yyy9abdna2kIIIbWny7oqUna+VRUfdezYscL4qPwyx48fR2BgIADgk08+wQ8//IATJ05g/vz5Gm2Vqeh437x585HvVw971GtB1/Pw5s2bFZ5H5fv5KNeMIeMjTr1VCTs7O8hksgozf7pkA83NzTFz5kzMnDkTt2/fRnJyMt5++20EBQXhr7/+0mmWDX1nFaisrw/fTCwtLTUGJyyj642pImXrv3btmtZ7f//9NxwdHR953ZW1Uz7hYch29GVnZwczMzOEhYVV+nSQu7t7levw9/fHunXrcPz4cRw7dkwaMPS5555DUlISLl++jPr166NHjx7SMg4ODpXucwBa+6Oi88nGxgZRUVGIiorC9evXpaemhgwZgt9//73KPkdGRmrMtlb2rWbZH49XrlypdDaGU6dO4eeff8bGjRsxevRoqfzChQtadR0dHbF8+XIsX74cf/75J3bv3o25c+ciOzsbCQkJ0nbGxcVp7J+HPc5N/WGWlpYVDnz5zz//1Mj5V9XnT9n14OjoiA4dOmDx4sUVrqPs5lRG188VBwcH3L9/Hzdu3NBICAghkJWVJX3TpY+yPpfd+B6WlZWl8bRU2Y2u/P4u/1mlz/Gv7lwCAG9vb2zfvh1CCPzyyy/YuHEj3n33XVhZWWHu3LlwdHSETCbD//73vwpnLXy4rLp1VcbR0VGnRGp1Dhw4gL///huHDh2Sno4CoDVAeJmKzo2y8+DmzZsa9xJDfCumC13Pw7K+ZWVlacxYWNb3h+l7zZQdC2PdY0wF4y7dMe56vLhr165duHv3Lnbs2CE9iQQAGRkZFbY1bNgwbN68GYsWLcKGDRtgaWmp8QRL2X746quvNNZXmYrOM13jorLrpLL76MP0uV89jsru1zWZnK3u2is7JvPmzcOIESMqXIenp6fGa33iI33ib13Xef/+fdy6dUsjSVHRdlYViz7M0PHKsGHDMGzYMBQVFeHo0aOIiYlBaGgomjdvDl9fXzg6OsLKygrr16+vcBsf3i/VrauyfQTAIPHR9u3bIZfLsXfvXo3kz65duyqsX1l89Kj3K0PQ9Tx0cHCocNKXij4vAP2uGUPGR3xSqhI2Njbo3r07duzYoZGVvHPnjsbsZ7po2LAhXnzxRUydOhW3bt2SZl4wxDcND/vss880Zgy4fPkyUlNTNWZ9ad68Oc6dO6fxYXbz5k2kpqZqrEufvvn6+sLKygrx8fEa5VeuXJF+YmYIzz33HABotXPixAmcOXPmkdt53ONgbW2Nfv364aeffkKHDh0qzNBX9K3fw/z9/SGTybBgwQLUq1cPffr0AQD0798fBw8eRFJSEvr06aPxsyt/f3/pj86Hbd68GdbW1pX+gV4ZlUqFMWPG4NVXX8XZs2dRUFAAoPL907x5c41tLPugCgwMhJmZGVavXl1pW2Uf7uVvkmvXrq2yj02bNsUbb7yBgIAA/PjjjwCAXr16oWHDhvjtt98q3Pddu3bVeMT9cTRv3hy//PKLRtm5c+e0Hmc1lP3792sEniUlJfj888/RsmVL6Q+E4OBgnDp1Ci1btqxw28v/ga2rsuup/PX29ddf4+7du490vfn4+EChUODzzz/XKD969KjW4/llCary+3v37t0arx/1+Fd0Lj1MJpOhY8eOWLZsGRo2bCjVCQ4OhhACV69erbAtb29vnddVmTZt2ug0M1J1HvU6e1i/fv0AAFu3btUo37Zt22P2Tje6nodl97ny/fziiy+0ZtTT95opOxbt2rUz2HaRNsZdjLt09bhxV0WfjUKISmeRGjt2LP7++2/s27cP8fHxeP7559GwYUPp/aCgIJibm+PixYuV3oeqo+vntY2NDbp27Ypdu3ahuLhYKs/Pz9eaofBR7lePQqVSwdLSUut+/c033xhk/RWp7trz9PSEh4cHfv7550qPycM/EdWHv78/fvvtN617+ebNmyGTyaT7pj7KvjgqHx9VNONy8+bNkZ2drREfFhcX4/vvv9eoV1PxikKhQN++fbFkyRIAkGY9DA4OxsWLF+Hg4FBhexUN01DZuipiYWGBFi1a4OLFi5XW0ZVMJoO5uTnMzMykssLCQmzZskXndfTr1w+nT5/Gzz//rFFem/GRLudhv379cOfOHa34uXw/H+Wa+eOPP+Dg4GCQL//5pFQV/vOf/2DAgAEICAhAREQESkpKsGTJEtjY2FSbpR0yZAi8vLykn1RcvnwZy5cvR7NmzeDh4QEA0ofBihUrMHr0aMjlcnh6ej7yh2R2djaef/55TJgwAbm5uXjnnXdgaWmJefPmSXXCwsKwdu1avPbaa5gwYQJu3ryJ2NhYrceIbW1t0axZM3zzzTfw9/eHvb09HB0dK/xAadiwIRYsWIC3334bo0aNwquvvoqbN28iKioKlpaWeOeddx5pe8rz9PTExIkTERcXh3r16mHgwIG4dOkSFixYADc3N8yYMeOR1lt2HJYsWYKBAwfCzMwMHTp00CuRsWLFCvTu3RvPPvssXn/9dTRv3hx37tzBhQsXsGfPnmp/X+7k5AQvLy8kJiaiX79+0je6/fv3x61bt3Dr1i0sXbpUY5l33nlHGhtl4cKFsLe3x9atW/Htt98iNjYWSqWy2n77+PggODgYHTp0gJ2dHc6cOYMtW7bA19dX6oO++6d58+Z4++238Z///AeFhYXSNMK//fYb/vnnH0RFRaFNmzZo2bIl5s6dCyEE7O3tsWfPHiQlJWmsKzc3F/369UNoaCjatGkDW1tbnDhxAgkJCVIWv379+oiLi8Po0aNx69YtvPjii3BycsKNGzfw888/48aNG1UmyPQRFhaG1157DVOmTMELL7yAy5cvIzY2VuunRYbi6OiI5557DgsWLICNjQ1WrVqF33//XSNIeffdd5GUlISePXti+vTp8PT0xL1793Dp0iXs27cPa9asqfKnlJUJCAhAUFAQ5syZg7y8PPTq1Qu//PIL3nnnHXTu3BlhYWF6r7NsqtuYmBjY2dnh+eefx5UrVxAVFQUXFxfUq/d/35N069YNnp6emDVrFu7fvw87Ozvs3LkTR44c0Vinrsdfl3Np7969WLVqFYYPH44WLVpACIEdO3bg9u3bCAgIAPAgCTZx4kSMHTsWJ0+eRJ8+fWBjY4Nr167hyJEj8Pb2xuuvv67Tuirj5+eH9evX49y5c3qNb1Nez549YWdnh8mTJ+Odd96BXC7H1q1btQKoqgQGBqJPnz6YPXs27t69i65du+KHH37QK3B7HLqeh23btsVrr72G5cuXQy6Xo3///jh16hQ++OADrfubvtfM0aNH4eDgYLA/4KhyjLsYd+nqceKugIAAWFhY4NVXX8Xs2bNx7949rF69Gjk5ORXWDwwMRJMmTTBlyhRkZWVp/HQPeBD3vPvuu5g/fz7++OMPDBgwAHZ2drh+/TqOHz8uPZVeFV3jIuDBZ9jgwYMRFBSEN998EyUlJXj//fdRv359jetE1/vV4yobt2j9+vVo2bIlOnbsiOPHj9foH+e6XHtr167FwIEDERQUhDFjxqBx48a4desWzpw5gx9//BFffvnlI7U9Y8YMbN68GYMHD8a7776LZs2a4dtvv8WqVavw+uuvP9J9e8CAAejVqxciIiKQl5eHLl26IC0tDZs3bwYAjfjo5ZdfxsKFC/HKK6/grbfewr179/DRRx9JY7uWMWS8snDhQly5cgX+/v5o0qQJbt++jRUrVmiMUxkeHo6vv/4affr0wYwZM9ChQweUlpbizz//RGJiIiIiIuDj46PTuirj5+eH7777Tu/9W97gwYOxdOlShIaGYuLEibh58yY++OADvZ4eDA8Px/r16zF48GAsWrQIKpUKW7durfaXJoai63k4atQoLFu2DKNGjcLixYvh4eGBffv2aSUxAf2vmaNHj6Jv3756P2VcocceKv0pt3v3btGhQwdhYWEhmjZtKt57770Kp9wsPzPLhx9+KHr27CkcHR2lZcePHy8uXbqksdy8efOEq6urqFevnsZI/VXN1lDZLDBbtmwR06dPF40aNRIKhUI8++yz4uTJk1rLb9q0SbRt21ZYWlqKdu3aic8//7zCmRySk5NF586dhUKh0Ji9qLJZsT799FNpXymVSjFs2DCtWYwqm6Wron1akZKSErFkyRLRunVrIZfLhaOjo3jttde0ph7WZxaYoqIi8a9//Us0atRIyGQyjW0DIKZOnaq1TEWzsGVmZopx48aJxo0bC7lcLho1aiR69uwpFi1aVG0fhHgwPTEAsXjxYo3ysulgf/nlF61lfv31VzFkyBChVCqFhYWF6Nixo9bsJ2Xnx5dffqm1/Ny5c0XXrl2FnZ2dUCgUokWLFmLGjBnin3/+0Wn/VGXz5s2iW7duwtLSUtSvX1907txZo2+//fabCAgIELa2tsLOzk689NJL4s8//9SYZeTevXti8uTJokOHDqJBgwbCyspKeHp6infeeUfcvXtXo72UlBQxePBgYW9vL+RyuWjcuLEYPHhwhduty/6paDaZ0tJSERsbK1q0aCEsLS1F165dxYEDByqdfa/8OsuunfIzk1R0vpade6tWrRItW7YUcrlctGnTRmzdulVrG27cuCGmT58u3N3dhVwuF/b29qJLly5i/vz50owYZdvz/vvvV7k/HlZYWCjmzJkjmjVrJuRyuXBxcRGvv/66yMnJ0ain6+x7QjzYh4sWLRJNmjQRFhYWokOHDmLv3r2iY8eO4vnnn9eoe+7cOREYGCgaNGggGjVqJKZNmybNUFN+VpPqjr8u59Lvv/8uXn31VdGyZUthZWUllEql6N69u9i4caPWdqxfv174+PgIGxsbYWVlJVq2bClGjRolfebqs67ycnNzRf369bVmPKrqWhai4hmtUlNTha+vr7C2thaNGjUS//rXv8SPP/6odW5XdQxv374txo0bJxo2bCisra1FQECA+P333/Wafe9xrgVdz8OioiIREREhnJychKWlpejRo4dIS0ur8PNal2tGiAfna7NmzbRm1aKaw7iLcVdtxF179uwRHTt2FJaWlqJx48birbfekmYbrWjWrLffflsAEG5ublozUJXZtWuX6Nevn2jQoIFQKBSiWbNm4sUXXxTJyclSnao+a3WJi8rs3LlTeHt7a1wn06dPF3Z2dlrrre5+VZnKjmlF52Nubq7417/+JVQqlbCxsRFDhgwRly5dqnT2vfLrrGy/9O3bV7Rv3156re+19/PPP4uQkBDh5OQk5HK5cHZ2Fs8995xYs2aN1vaUvx9V5fLlyyI0NFQ4ODgIuVwuPD09xfvvv691bug6+54QD2YoHjt2rMa99ujRowIVzIC7b98+0alTJ2FlZSVatGghVq5cWek1bYh4Ze/evWLgwIGicePGwsLCQjg5OYlBgwaJ//3vfxpt5efni3//+9/C09NT+lzy9vYWM2bMkGaT1nVdFdm/f78AII4fP65RXt3nT/v27bVm31u/fr3w9PSU/v6JiYkR69at0zq3qzqGZdespaWlsLe3F+PHjxfffPONXrPvPeq1IITu5+GVK1fECy+8IOrXry9sbW3FCy+8IFJTUyucNVOXa0aI/5s9/uuvv65yO3UlE+KhZx+JiIhqWWZmJtq0aYN33nkHb7/9trG7UydMmzYN+/fvx+nTpw3zDRQ9kv379yMwMBCnT59GmzZtjN0dIqIKqdVqdOrUCY0bN0ZiYqKxu0MGsm3bNowcORI//PADevbsaezu1AkdOnRAr169DPYrCHo0CxYswObNm3Hx4kWtWY4fBZNSRERUa37++Wd89tln6NmzJxo0aICzZ88iNjYWeXl5OHXqlMEGpX/SXb9+Ha1bt8a6devw4osvGrs7Jqtfv35o1apVpWPNEBEZw/jx4xEQEAAXFxdkZWVhzZo1SElJQWJiosZMzfTk+Oyzz3D16lV4e3ujXr16OHr0KN5//3107twZKSkpxu5enZGQkIDnn38e58+ff6ThKejx3b59Gy1atEBcXBxGjhxpkHVyTCkiIqo1NjY2OHnyJNatW4fbt29DqVTCz88PixcvZkLqIWVjE1Q2xgnVvJycHPTt21eaCpmIqK64c+cOZs2ahRs3bkAul+OZZ57Bvn37mJB6gtna2mL79u1YtGgR7t69CxcXF4wZMwaLFi0ydtfqlAEDBuD9999HZmYmk1JGkpmZiXnz5iE0NNRg6+STUkREREREREREVOvqVV+l5sTExKBbt26wtbWFk5MThg8frjG1ulqtxpw5c+Dt7Q0bGxu4urpi1KhR+PvvvzXWU1RUhGnTpsHR0RE2NjYYOnQorly5olEnJycHYWFhUCqVUCqVCAsLw+3bt2tjM4mIiIiM5urVq3jttdfg4OAAa2trdOrUCenp6dL7QghERkbC1dUVVlZW8PPzw+nTpzXWoUusRURERKQvoyalUlJSMHXqVBw9ehRJSUm4f/8+AgMDcffuXQBAQUEBfvzxRyxYsAA//vgjduzYgXPnzmHo0KEa6wkPD8fOnTuxfft2HDlyBPn5+QgODtaYGjM0NBQZGRlISEhAQkICMjIyHmlKcyIiIqInRU5ODnr16gW5XI7vvvsOv/32Gz788EM0bNhQqhMbG4ulS5di5cqVOHHiBJydnREQEIA7d+5IdXSJtYiIiIj0Vad+vnfjxg04OTkhJSUFffr0qbDOiRMn0L17d1y+fBlNmzZFbm4uGjVqhC1btuDll18GAPz9999wc3PDvn37EBQUhDNnzqBdu3Y4evQofHx8AABHjx6Fr68vfv/9d3h6etbaNhIRERHVlrlz5+KHH37A//73vwrfF0LA1dUV4eHhmDNnDoAHT0WpVCosWbIEkyZN0inWIiIiInoUdWqg89zcXACAvb19lXVkMpn0DV96ejrUajUCAwOlOq6urvDy8kJqaiqCgoKQlpYGpVIpJaQAoEePHlAqlUhNTa0wKVVUVISioiLpdWlpKW7dugUHBwdOz01ERGQChBC4c+cOXF1dUa+eUR8uf2S7d+9GUFAQXnrpJaSkpKBx48aYMmUKJkyYAODBgKVZWVkacZRCoUDfvn2RmpqKSZMm6RRrlcc4ioiIyLTpGkfVmaSUEAIzZ85E79694eXlVWGde/fuYe7cuQgNDUWDBg0AAFlZWbCwsICdnZ1GXZVKhaysLKmOk5OT1vqcnJykOuXFxMQgKirqcTaJiIiIngJ//fXXEzvLzx9//IHVq1dj5syZePvtt3H8+HFMnz4dCoUCo0aNkuKg8rNfqlQqXL58GYBusVZ5jKOIiIgIqD6OqjNJqTfeeAO//PILjhw5UuH7arUar7zyCkpLS7Fq1apq1yeE0PgmrqJv5crXedi8efMwc+ZM6XVubi6aNm2KzMxM2NraVtu+qVGr1Th48CD69esHuVxu7O5QDeFxNg08zqaBx7l6d+7cgbu7+xN93y8tLUXXrl0RHR0NAOjcuTNOnz6N1atXY9SoUVK98vFQVTGSLnUqi6POnTtX5RPxNcXY5zvbZ/ts3zTbN+VtZ/ts/9atW2jdunW1cVSdSEpNmzYNu3fvxuHDhyvMoKnVaoSEhCAzMxMHDhyQnpICAGdnZxQXFyMnJ0fjG7zs7Gz07NlTqnP9+nWt9d64cUPrm8EyCoUCCoVCq9ze3l6jfXpArVbD2toaDg4O/OPmKcbjbBp4nE0Dj3P1yvbLk/xzMxcXF7Rr106jrG3btvj6668BPIiRgAdPQ7m4uEh1srOzpRhJl1irvKriKAcHh8fbqEdg7POd7bN9tm+a7ZvytrN9tl+mujjKqAMkCCHwxhtvYMeOHThw4ADc3d216pQlpM6fP4/k5GStQKZLly6Qy+VISkqSyq5du4ZTp05JgZKvry9yc3Nx/Phxqc6xY8eQm5tbaTBFRERE9KTr1asXzp49q1F27tw5NGvWDADg7u4OZ2dnjTiquLgYKSkpUoykS6xFRERE9CiM+qTU1KlTsW3bNnzzzTewtbWVxiVQKpWwsrLC/fv38eKLL+LHH3/E3r17UVJSItWxt7eHhYUFlEolxo8fj4iICDg4OMDe3h6zZs2Ct7c3+vfvD+DBN4IDBgzAhAkTsHbtWgDAxIkTERwczJn3iIiI6Kk1Y8YM9OzZE9HR0QgJCcHx48fx8ccf4+OPPwbw4NvL8PBwREdHw8PDAx4eHoiOjoa1tTVCQ0MBQKdYi4iIiOhRGDUptXr1agCAn5+fRvmGDRswZswYXLlyBbt37wYAdOrUSaPOwYMHpeWWLVsGc3NzhISEoLCwEP7+/ti4cSPMzMyk+lu3bsX06dOlmWOGDh2KlStX1syGEREREdUB3bp1w86dOzFv3jy8++67cHd3x/LlyzFy5EipzuzZs1FYWIgpU6YgJycHPj4+SExM1BgDQpdYi4iIiEhfRk1KCSGqfL958+bV1gEAS0tLxMXFIS4urtI69vb2iI+P17uPRERERE+y4OBgBAcHV/q+TCZDZGQkIiMjK62jS6xFREREpC+jjilFRERERERERESmiUkpIiIiIiIiIiKqdUxKERERERERERFRrWNSioiIiIiIiIiIah2TUkREREREREREVOuYlCIiIiIiIiIiolrHpBQREREREREREdU6JqWIiIiIiIiIiKjWMSlFRERERERERES1jkkpIiIiIiIiIiKqdUxKERERERERERFRrWNSioiIiIiIiIiIah2TUkREREREREREVOuYlCIiIiIiIiIiolrHpBQREREREREREdU6JqWIiIiIiIiIiKjWMSlFRERERERERES1zqhJqZiYGHTr1g22trZwcnLC8OHDcfbsWY06QghERkbC1dUVVlZW8PPzw+nTpzXqFBUVYdq0aXB0dISNjQ2GDh2KK1euaNTJyclBWFgYlEollEolwsLCcPv27ZreRCIiIiIiIiIiqoBRk1IpKSmYOnUqjh49iqSkJNy/fx+BgYG4e/euVCc2NhZLly7FypUrceLECTg7OyMgIAB37tyR6oSHh2Pnzp3Yvn07jhw5gvz8fAQHB6OkpESqExoaioyMDCQkJCAhIQEZGRkICwur1e0lIiIiIiIiIqIHzI3ZeEJCgsbrDRs2wMnJCenp6ejTpw+EEFi+fDnmz5+PESNGAAA2bdoElUqFbdu2YdKkScjNzcW6deuwZcsW9O/fHwAQHx8PNzc3JCcnIygoCGfOnEFCQgKOHj0KHx8fAMAnn3wCX19fnD17Fp6enrW74UREREREREREJs6oSanycnNzAQD29vYAgMzMTGRlZSEwMFCqo1Ao0LdvX6SmpmLSpElIT0+HWq3WqOPq6govLy+kpqYiKCgIaWlpUCqVUkIKAHr06AGlUonU1NQKk1JFRUUoKiqSXufl5QEA1Go11Gq1YTf8KVC2T7hvnm48zqaBx9k08DhXj/uGiIiIqGbVmaSUEAIzZ85E79694eXlBQDIysoCAKhUKo26KpUKly9flupYWFjAzs5Oq07Z8llZWXByctJq08nJSapTXkxMDKKiorTKExMTYW1trefWmY6kpCRjd4FqAY+zaeBxNg08zpUrKCgwdheIiIiInmp1Jin1xhtv4JdffsGRI0e03pPJZBqvhRBaZeWVr1NR/arWM2/ePMycOVN6nZeXBzc3NwQGBqJBgwZVtm2K1Go1kpKSEBAQALlcbuzuUA3hcTYNPM6mgce5emVPSRMRERFRzagTSalp06Zh9+7dOHz4MJo0aSKVOzs7A3jwpJOLi4tUnp2dLT095ezsjOLiYuTk5Gg8LZWdnY2ePXtKda5fv67V7o0bN7SewiqjUCigUCi0yuVyOYP3KnD/mAYeZ9PA42waeJwrx/1CREREVLOMOvueEAJvvPEGduzYgQMHDsDd3V3jfXd3dzg7O2v8tKC4uBgpKSlSwqlLly6Qy+Uada5du4ZTp05JdXx9fZGbm4vjx49LdY4dO4bc3FypDhERERERERER1R6jPik1depUbNu2Dd988w1sbW2l8Z2USiWsrKwgk8kQHh6O6OhoeHh4wMPDA9HR0bC2tkZoaKhUd/z48YiIiICDgwPs7e0xa9YseHt7S7PxtW3bFgMGDMCECROwdu1aAMDEiRMRHBzMmfeIiIiIiIiIiIzAqEmp1atXAwD8/Pw0yjds2IAxY8YAAGbPno3CwkJMmTIFOTk58PHxQWJiImxtbaX6y5Ytg7m5OUJCQlBYWAh/f39s3LgRZmZmUp2tW7di+vTp0ix9Q4cOxcqVK2t2A4mIiIiIiIiIqEJGTUoJIaqtI5PJEBkZicjIyErrWFpaIi4uDnFxcZXWsbe3R3x8/KN0k4iIiIiIiIiIDMyoY0oREREREREREZFpYlKKiIiIiIiIiIhqHZNSRERERERERERU65iUIiIiIiIiIiKiWsekFBERERERERER1TompYiIiIiIiIiIqNYxKUVERERERERERLWOSSkiIiIiIiIiIqp1TEoREREREREREVGtY1KKiIiIiIiIiIhqHZNSRERERERERERU65iUIiIiIiIiIiKiWsekFBEREdFTKjIyEjKZTOOfs7Oz9L4QApGRkXB1dYWVlRX8/Pxw+vRpjXUUFRVh2rRpcHR0hI2NDYYOHYorV67U9qYQERHRU4hJKSIiIqKnWPv27XHt2jXp36+//iq9Fxsbi6VLl2LlypU4ceIEnJ2dERAQgDt37kh1wsPDsXPnTmzfvh1HjhxBfn4+goODUVJSYozNISIioqeIubE7QEREREQ1x9zcXOPpqDJCCCxfvhzz58/HiBEjAACbNm2CSqXCtm3bMGnSJOTm5mLdunXYsmUL+vfvDwCIj4+Hm5sbkpOTERQUVKvbQkRERE8XJqWIiIiInmLnz5+Hq6srFAoFfHx8EB0djRYtWiAzMxNZWVkIDAyU6ioUCvTt2xepqamYNGkS0tPToVarNeq4urrCy8sLqamplSalioqKUFRUJL3Oy8sDAKjVaqjV6hra0sqVtWmMttk+22f7ptu+KW8722f7urbLpBQRERHRU8rHxwebN29G69atcf36dSxatAg9e/bE6dOnkZWVBQBQqVQay6hUKly+fBkAkJWVBQsLC9jZ2WnVKVu+IjExMYiKitIqP3jwIKytrR93sx5ZUlKS0dpm+2yf7Ztu+6a87WzfdNsvKCjQqZ5Rk1KHDx/G+++/j/T0dFy7dg07d+7E8OHDpffz8/Mxd+5c7Nq1Czdv3kTz5s0xffp0vP7661KdoqIizJo1C5999hkKCwvh7++PVatWoUmTJlKdnJwcTJ8+Hbt37wYADB06FHFxcWjYsGFtbSoRERFRrRs4cKD0/97e3vD19UXLli2xadMm9OjRAwAgk8k0lhFCaJWVV12defPmYebMmdLrvLw8uLm5oV+/fnBwcHiUTXksarUaSUlJCAgIgFwuZ/tsn+2z/ae+bbbP9o3d/s2bN3WqZ9Sk1N27d9GxY0eMHTsWL7zwgtb7M2bMwMGDBxEfH4/mzZsjMTERU6ZMgaurK4YNGwbgweCbe/bswfbt2+Hg4ICIiAgEBwcjPT0dZmZmAIDQ0FBcuXIFCQkJAICJEyciLCwMe/bsqb2NJSIiIjIyGxsbeHt74/z589IXgVlZWXBxcZHqZGdnS09POTs7o7i4GDk5ORpPS2VnZ6Nnz56VtqNQKKBQKLTK5XK5UQJjtm/89t9MMwfSDhqlbQBY4Wva+5/tG7d9U952tm+67evaplFn3xs4cCAWLVokDa5ZXlpaGkaPHg0/Pz80b94cEydORMeOHXHy5EkAkAbf/PDDD9G/f3907twZ8fHx+PXXX5GcnAwAOHPmDBISEvDpp5/C19cXvr6++OSTT7B3716cPXu21raViIiIyNiKiopw5swZuLi4wN3dHc7OzhqP9RcXFyMlJUVKOHXp0gVyuVyjzrVr13Dq1Kkqk1JEREREuqjTY0r17t0bu3fvxrhx4+Dq6opDhw7h3LlzWLFiBQDoNPhmWloalEolfHx8pDo9evSAUqlEamoqPD09K2y7rg3QWdcZexA1qh08zqaBx9k08DhX72nYN7NmzcKQIUPQtGlTZGdnY9GiRcjLy8Po0aMhk8kQHh6O6OhoeHh4wMPDA9HR0bC2tkZoaCgAQKlUYvz48YiIiICDgwPs7e0xa9YseHt7S7PxERERET2qOp2U+uijjzBhwgQ0adIE5ubmqFevHj799FP07t0bgG6Db2ZlZcHJyUlr3U5OTo80QGdiYqJRB+is64w9iBvVDh5n08DjbBp4nCun6wCdddmVK1fw6quv4p9//kGjRo3Qo0cPHD16FM2aNQMAzJ49G4WFhZgyZQpycnLg4+ODxMRE2NraSutYtmwZzM3NERISIo3fuXHjRmmYBCIiIqJHVeeTUkePHsXu3bvRrFkzHD58GFOmTIGLi0uV386VH3yzooE4H3WAzsDAQDRo0OARt+jpZexB1Kh28DibBh5n08DjXL2yp6SfZNu3b6/yfZlMhsjISERGRlZax9LSEnFxcYiLizNw74iIiMjU1dmkVGFhId5++23s3LkTgwcPBgB06NABGRkZ+OCDD9C/f3+dBt90dnbG9evXtdZ/48YNrSmQH1ZXB+is67h/TAOPs2ngcTYNPM6V434hIiIiqllGHei8KmVjN9Wrp9lFMzMzlJaWAtBt8E1fX1/k5ubi+PHjUp1jx44hNzeXA3QSERERERERERmJUZ+Uys/Px4ULF6TXmZmZyMjIgL29PZo2bYq+ffvirbfegpWVFZo1a4aUlBRs3rwZS5cuBaDb4Jtt27bFgAEDMGHCBKxduxYAMHHiRAQHB1c6yDkREREREREREdUsoyalTp48iX79+kmvy8ZwGj16NDZu3Ijt27dj3rx5GDlyJG7duoVmzZph8eLFmDx5srSMLoNvbt26FdOnT5dm6Rs6dChWrlxZS1tJRERERERERETlGTUp5efnByFEpe87Oztjw4YNVa5Dl8E37e3tER8f/8j9JCIiIiIiIiIiw6qzY0oREREREREREdHTq87OvkdERERERGQIb6aZ4820RKO1v8LXaE0TEdVpfFKKiIiIiIiIiIhqHZNSRERERERERERU65iUIiIiIiIiIiKiWsekFBERERERERER1TompYiIiIiIiIiIqNYxKUVERERERERERLWOSSkiIiIiIiIiIqp1TEoREREREREREVGtY1KKiIiIiIiIiIhqHZNSRERERERERERU65iUIiIiIiIiIiKiWsekFBERERERERER1TompYiIiIiIiIiIqNYxKUVERERERERERLXusZNSJSUlyMjIQE5Ojt7LHj58GEOGDIGrqytkMhl27dqlVefMmTMYOnQolEolbG1t0aNHD/z555/S+0VFRZg2bRocHR1hY2ODoUOH4sqVKxrryMnJQVhYGJRKJZRKJcLCwnD79m29+0tERERU2x4n1iIiIiKqy/ROSoWHh2PdunUAHgRJffv2xTPPPAM3NzccOnRIr3XdvXsXHTt2xMqVKyt8/+LFi+jduzfatGmDQ4cO4eeff8aCBQtgaWmp0Z+dO3di+/btOHLkCPLz8xEcHIySkhKpTmhoKDIyMpCQkICEhARkZGQgLCxM300nIiIiqnGGjLWIiIiI6jJzfRf46quv8NprrwEA9uzZg8zMTPz+++/YvHkz5s+fjx9++EHndQ0cOBADBw6s9P358+dj0KBBiI2NlcpatGgh/X9ubi7WrVuHLVu2oH///gCA+Ph4uLm5ITk5GUFBQThz5gwSEhJw9OhR+Pj4AAA++eQT+Pr64uzZs/D09NRr+4mIiIhqkiFjLSIiIqK6TO8npf755x84OzsDAPbt24eXXnoJrVu3xvjx4/Hrr78arGOlpaX49ttv0bp1awQFBcHJyQk+Pj4aP/FLT0+HWq1GYGCgVObq6govLy+kpqYCANLS0qBUKqWEFAD06NEDSqVSqkNERERUV9RWrEVERERkbHo/KaVSqfDbb7/BxcUFCQkJWLVqFQCgoKAAZmZmButYdnY28vPz8d5772HRokVYsmQJEhISMGLECBw8eBB9+/ZFVlYWLCwsYGdnp9XHrKwsAEBWVhacnJy01u/k5CTVqUhRURGKioqk13l5eQAAtVoNtVptiE18qpTtE+6bpxuPs2ngcTYNPM7VM9a+qa1Yi4iIiMjY9E5KjR07FiEhIXBxcYFMJkNAQAAA4NixY2jTpo3BOlZaWgoAGDZsGGbMmAEA6NSpE1JTU7FmzRr07du30mWFEJDJZNLrh/+/sjrlxcTEICoqSqs8MTER1tbWOm+HqUlKSjJ2F6gW8DibBh5n08DjXLmCggKjtFtbsRYRERGRsemdlIqMjISXlxf++usvvPTSS1AoFAAAMzMzzJ0712Adc3R0hLm5Odq1a6dR3rZtWxw5cgQA4OzsjOLiYuTk5Gg8LZWdnY2ePXtKda5fv661/hs3bkClUlXa/rx58zBz5kzpdV5eHtzc3BAYGIgGDRo81rY9jdRqNZKSkhAQEAC5XG7s7lAN4XE2DTzOpoHHuXplT0nXttqKtYiIiIiMTe+kFAC8+OKLWmWjR49+7M48zMLCAt26dcPZs2c1ys+dO4dmzZoBALp06QK5XI6kpCSEhIQAAK5du4ZTp05Jg6P7+voiNzcXx48fR/fu3QE8+KYxNzdXSlxVRKFQSEHgw+RyOYP3KnD/mAYeZ9PA42waeJwrZ8z9UhuxFhEREZGx6ZSU+uijj3Re4fTp03Wum5+fjwsXLkivMzMzkZGRAXt7ezRt2hRvvfUWXn75ZfTp0wf9+vVDQkIC9uzZI02HrFQqMX78eERERMDBwQH29vaYNWsWvL29pdn42rZtiwEDBmDChAlYu3YtAGDixIkIDg7mzHtERERUJ9RUrEVERERUl+mUlFq2bJnG6xs3bqCgoAANGzYEANy+fRvW1tZwcnLSK1A6efIk+vXrJ70u+7nc6NGjsXHjRjz//PNYs2YNYmJiMH36dHh6euLrr79G7969Nfpmbm6OkJAQFBYWwt/fHxs3btQYCHTr1q2YPn26NEvf0KFDsXLlSp37SURERFSTairWIiIiIqrLdEpKZWZmSv+/bds2rFq1CuvWrZOeNDp79iwmTJiASZMm6dW4n58fhBBV1hk3bhzGjRtX6fuWlpaIi4tDXFxcpXXs7e0RHx+vV9+IiIiIaktNxVpEREREdVk9fRdYsGAB4uLiNH765unpiWXLluHf//63QTtHREREZGoYaxEREZGp0Dspde3aNajVaq3ykpKSCme5IyIiIiLdMdYiIiIiU6F3Usrf3x8TJkzAyZMnpZ/enTx5EpMmTZIGFyciIiKiR8NYi4iIiEyF3kmp9evXo3HjxujevTssLS2hUCjg4+MDFxcXfPrppzXRRyIiIiKTwViLiIiITIVOA52XEUKgoKAAX331Fa5evYozZ85ACIG2bduidevWNdVHIiIiIpPAWIuIiIhMid5JKQ8PD5w+fRoeHh7w8PCoqX4RERERmRzGWkRERGRK9Pr5Xr169eDh4YGbN2/WVH+IiIiITBZjLSIiIjIlej0pBQCxsbF46623sHr1anh5edVEn4ieWs3nfmvsLhiAOd5MSzR2Jx7LpfcGG7sLRESVYqxFREREpkLvgc5fe+01HD9+HB07doSVlRXs7e01/hERERHRo6vJWCsmJgYymQzh4eFSmRACkZGRcHV1hZWVFfz8/HD69GmN5YqKijBt2jQ4OjrCxsYGQ4cOxZUrVx6rL0RERER6Pym1fPnyGugGEREREQE1F2udOHECH3/8MTp06KBRHhsbi6VLl2Ljxo1o3bo1Fi1ahICAAJw9exa2trYAgPDwcOzZswfbt2+Hg4MDIiIiEBwcjPT0dJiZmdVIf4mIiOjpp3dSavTo0TXRDyIiIiJCzcRa+fn5GDlyJD755BMsWrRIKhdCYPny5Zg/fz5GjBgBANi0aRNUKhW2bduGSZMmITc3F+vWrcOWLVvQv39/AEB8fDzc3NyQnJyMoKAgg/eXiIiITIPeSSkAKCkpwa5du3DmzBnIZDK0a9cOQ4cO5TdlRERERAZg6Fhr6tSpGDx4MPr376+RlMrMzERWVhYCAwOlMoVCgb59+yI1NRWTJk1Ceno61Gq1Rh1XV1d4eXkhNTW1wqRUUVERioqKpNd5eXkAALVaDbVa/Ujb8DjK2jRG22zfeO3WNcbe/2yfnz1sn+0bo/3q6J2UunDhAgYNGoSrV6/C09MTQgicO3cObm5u+Pbbb9GyZUu9O0tEREREDxg61tq+fTvS09Nx8uRJrfeysrIAACqVSqNcpVLh8uXLUh0LCwvY2dlp1SlbvryYmBhERUVplR88eBDW1tZ69d+QkpKSjNY223+k78KfKqZ9/E27fVPedrZvuu0XFBToVE/vu8P06dPRsmVLHD16VBps8+bNm3jttdcwffp0fPvt0zC7GBEREZFxGDLW+uuvv/Dmm28iMTERlpaWldaTyWQar4UQWmXlVVVn3rx5mDlzpvQ6Ly8Pbm5u6NevHxwcHHTuv6Go1WokJSUhICAAcrmc7RuhfaQdrPV26xpTPv6m2r4pbzvbZ/s3b97UqZ7eSamUlBSNIAkAHBwc8N5776FXr176ro6IiIiIHmLIWCs9PR3Z2dno0qWLVFZSUoLDhw9j5cqVOHv2LIAHT0O5uLhIdbKzs6Wnp5ydnVFcXIycnByNp6Wys7PRs2fPCttVKBRQKBRa5XK53CiBMduvG+2bOmPvf7ZvvPZNedvZvum2r2ub9fRdsUKhwJ07d7TK8/PzYWFhoe/qiIiIiOghhoy1/P398euvvyIjI0P617VrV4wcORIZGRlo0aIFnJ2dNR7tLy4uRkpKipRw6tKlC+RyuUada9eu4dSpU5UmpYiIiIh0ofeTUsHBwZg4cSLWrVuH7t27AwCOHTuGyZMnY+jQoQbvIBEREZEpMWSsZWtrCy8vL40yGxsbODg4SOXh4eGIjo6Gh4cHPDw8EB0dDWtra4SGhgIAlEolxo8fj4iICDg4OMDe3h6zZs2Ct7e3NBsfERER0aPQ+0mpjz76CC1btoSvry8sLS1haWmJXr16oVWrVlixYoVe6zp8+DCGDBkCV1dXyGQy7Nq1q9K6kyZNgkwmw/LlyzXKi4qKMG3aNDg6OsLGxgZDhw7FlStXNOrk5OQgLCwMSqUSSqUSYWFhuH37tl59JSIiIqoNhoy1dDF79myEh4djypQp6Nq1K65evYrExETY2tpKdZYtW4bhw4cjJCQEvXr1grW1Nfbs2cOZl4mIiOix6P2kVMOGDfHNN9/g/Pnz+P333yGEQLt27dCqVSu9G7979y46duyIsWPH4oUXXqi03q5du3Ds2DG4urpqvRceHo49e/Zg+/btcHBwQEREBIKDg5Geni4FSqGhobhy5QoSEhIAABMnTkRYWBj27Nmjd5+JiIiIapIhY62KHDp0SOO1TCZDZGQkIiMjK13G0tIScXFxiIuLM0gfiIiIiIBHSEqdP39eerzbw8PjsRofOHAgBg4cWGWdq1ev4o033sD333+PwYMHa7yXm5uLdevWYcuWLdLj4/Hx8XBzc0NycjKCgoJw5swZJCQk4OjRo/Dx8QEAfPLJJ/D19cXZs2fh6en5WNtAREREZEiGjLWIiIiI6jK9f77n6emJxo0bIzQ0FGvXrpVmbakJpaWlCAsLw1tvvYX27dtrvZ+eng61Wo3AwECpzNXVFV5eXkhNTQUApKWlQalUSgkpAOjRoweUSqVUh4iIiKiuqM1Yi4iIiMiY9H5S6tq1azhw4ABSUlKwbNkyvP7661CpVOjbty/8/PwwefJkg3VuyZIlMDc3x/Tp0yt8PysrCxYWFhrTEwOASqVCVlaWVMfJyUlrWScnJ6lORYqKilBUVCS9zsvLAwCo1Wqo1Wq9t+VpV7ZPuG/oScDztGq8nk0Dj3P1jLVvajPWIiIiIjImvZNSKpUKr776Kl599VUAwIULF7Bo0SJs3boVX375pcECpfT0dKxYsQI//vgjZDKZXssKITSWqWj58nXKi4mJQVRUlFZ5YmIirK2t9eqPKXl4umiqiN6XHNWAffv2GbsLTwRez6aBx7lyBQUFRmm3tmItIiIiImPT+y/k/Px8HDlyBIcOHUJKSgoyMjLQtm1bTJs2DX379jVYx/73v/8hOzsbTZs2lcpKSkoQERGB5cuX49KlS3B2dkZxcTFycnI0npbKzs5Gz549AQDOzs64fv261vpv3LgBlUpVafvz5s3DzJkzpdd5eXlwc3NDYGAgGjRoYIhNfKqo1WokJSUhICAAcrnc2N2ps95MSzR2FwjAoEGDjN2FOo3Xs2ngca5e2VPSta22Yi0iIiIiY9M7KWVnZwd7e3uEhYXh3//+N3r37g2lUmnwjoWFhUmDl5cJCgpCWFgYxo4dCwDo0qUL5HI5kpKSEBISAuDBI++nTp1CbGwsAMDX1xe5ubk4fvw4unfvDgA4duwYcnNzpcRVRRQKBRQKhVa5XC5n8F4F7h96EvAc1Q2vZ9PA41w5Y+2X2oq1iIiIiIxN76TU4MGDceTIEWzZsgV//fUX/vzzT/j5+aFt27Z6N56fn48LFy5IrzMzM5GRkQF7e3s0bdoUDg4OGvXlcjmcnZ2lGfOUSiXGjx+PiIgIODg4wN7eHrNmzYK3t7eU0Grbti0GDBiACRMmYO3atQCAiRMnIjg4mDPvERERUZ1jyFiLqMybaeZ8YpuIiOocvWff27VrF/755x8kJSWhd+/e2L9/P/z8/ODs7IxXXnlFr3WdPHkSnTt3RufOnQEAM2fOROfOnbFw4UKd17Fs2TIMHz4cISEh6NWrF6ytrbFnzx6YmZlJdbZu3Qpvb28EBgYiMDAQHTp0wJYtW/TqKxEREVFtMGSsRURERFSXPfKoyx06dEBJSQnUajWKioqQkJCAHTt26LUOPz8/CCF0rn/p0iWtMktLS8TFxSEuLq7S5ezt7REfH69X34iIiIiMyRCxFhEREVFdpveTUsuWLcOwYcNgb2+P7t2747PPPoOnpyd27tyJf/75pyb6SERERGQyGGsRERGRqdD7SamtW7fCz88PEyZMQJ8+fTgTHREREZEBMdYiIiIiU6F3UurkyZM10Q8iIiIiAmMtIiIiMh16/3yPiIiIiIiIiIjocTEpRUREREREREREtY5JKSIiIiIiIiIiqnVMShERERERERERUa3TOylVWFiIgoIC6fXly5exfPlyJCYmGrRjRERERKaIsRYRERGZCr2TUsOGDcPmzZsBALdv34aPjw8+/PBDDBs2DKtXrzZ4B4mIiIhMCWMtIiIiMhV6J6V+/PFHPPvsswCAr776CiqVCpcvX8bmzZvx0UcfGbyDRERERKaEsRYRERGZCr2TUgUFBbC1tQUAJCYmYsSIEahXrx569OiBy5cvG7yDRERERKaEsRYRERGZCr2TUq1atcKuXbvw119/4fvvv0dgYCAAIDs7Gw0aNDB4B4mIiIhMCWMtIiIiMhV6J6UWLlyIWbNmoXnz5vDx8YGvry+AB9/kde7c2eAdJCIiIjIljLWIiIjIVJjru8CLL76I3r1749q1a+jYsaNU7u/vj+eff96gnSMiIiIyNYy1iIiIyFTonZQCAGdnZzg7OwMA8vLycODAAXh6eqJNmzYG7RwRERGRKWKsRURERKZA75/vhYSEYOXKlQCAwsJCdO3aFSEhIejQoQO+/vprg3eQiIiIyJQw1iIiIiJToXdS6vDhw9I0xTt37oQQArdv38ZHH32ERYsWGbyDRERERKaEsRYRERGZCr2TUrm5ubC3twcAJCQk4IUXXoC1tTUGDx6M8+fP67Wuw4cPY8iQIXB1dYVMJsOuXbuk99RqNebMmQNvb2/Y2NjA1dUVo0aNwt9//62xjqKiIkybNg2Ojo6wsbHB0KFDceXKFY06OTk5CAsLg1KphFKpRFhYGG7fvq3vphMRERHVOEPGWkRERER1md5JKTc3N6SlpeHu3btISEiQpinOycmBpaWlXuu6e/cuOnbsKD2i/rCCggL8+OOPWLBgAX788Ufs2LED586dw9ChQzXqhYeHY+fOndi+fTuOHDmC/Px8BAcHo6SkRKoTGhqKjIwMJCQkICEhARkZGQgLC9N304mIiIhqnCFjLSIiIqK6TO+BzsPDwzFy5EjUr18fTZs2hZ+fH4AHTz15e3vrta6BAwdi4MCBFb6nVCqRlJSkURYXF4fu3bvjzz//RNOmTZGbm4t169Zhy5Yt6N+/PwAgPj4ebm5uSE5ORlBQEM6cOYOEhAQcPXoUPj4+AIBPPvkEvr6+OHv2LDw9PfXcA0REREQ1x5CxFhEREVFdpndSasqUKejevTv++usvBAQEoF69Bw9btWjRosbHOcjNzYVMJkPDhg0BAOnp6VCr1dI3iADg6uoKLy8vpKamIigoCGlpaVAqlVJCCgB69OgBpVKJ1NRUJqWIiIioTjFmrEVERERUm/ROSgFA165d0aFDB2RmZqJly5YwNzfH4MGDDd03Dffu3cPcuXMRGhqKBg0aAACysrJgYWEBOzs7jboqlQpZWVlSHScnJ631OTk5SXUqUlRUhKKiIul1Xl4egAdjXanV6sfenqdN2T7hvqEnAc/TqvF6Ng08ztUz5r4xRqxFREREVNv0TkoVFBRg2rRp2LRpEwDg3LlzaNGiBaZPnw5XV1fMnTvX4J1Uq9V45ZVXUFpailWrVlVbXwgBmUwmvX74/yurU15MTAyioqK0yhMTE2Ftba1jz01P+Z9cUnmPlAcmA9u3b5+xu/BE4PVsGnicK1dQUGC0dms71iIiIiIyBr3/Qp43bx5+/vlnHDp0CAMGDJDK+/fvj3feecfggZJarUZISAgyMzNx4MAB6SkpAHB2dkZxcTFycnI0npbKzs5Gz549pTrXr1/XWu+NGzegUqkqbXfevHmYOXOm9DovLw9ubm4IDAzU6AM9oFarkZSUhICAAMjlcmN3p856My3R2F0gAIMGDTJ2F+o0Xs+mgce5emVPSde22o61iIiIiIxF76TUrl278Pnnn6NHjx4aTxq1a9cOFy9eNGjnyhJS58+fx8GDB+Hg4KDxfpcuXSCXy5GUlISQkBAAwLVr13Dq1CnExsYCAHx9fZGbm4vjx4+je/fuAIBjx44hNzdXSlxVRKFQQKFQaJXL5XIG71Xg/qEnAc9R3fB6Ng08zpUz1n6pzViLiIiIyJj0TkrduHGjwjGa7t69W+XP4SqSn5+PCxcuSK8zMzORkZEBe3t7uLq64sUXX8SPP/6IvXv3oqSkRBoDyt7eHhYWFlAqlRg/fjwiIiLg4OAAe3t7zJo1C97e3tJsfG3btsWAAQMwYcIErF27FgAwceJEBAcHc5BzIiIiqnMMGWsRERER1WX19F2gW7du+Pbbb6XXZcHRJ598Al9fX73WdfLkSXTu3BmdO3cGAMycOROdO3fGwoULceXKFezevRtXrlxBp06d4OLiIv1LTU2V1rFs2TIMHz4cISEh6NWrF6ytrbFnzx6YmZlJdbZu3Qpvb28EBgYiMDAQHTp0wJYtW/TddCIiIqIaZ8hYi4iIiKgu0/tJqZiYGAwYMAC//fYb7t+/jxUrVuD06dNIS0tDSkqKXuvy8/ODEKLS96t6r4ylpSXi4uIQFxdXaR17e3vEx8fr1TciIiIiYzBkrEVERERUl+n9pFTPnj3xww8/oKCgAC1btkRiYiJUKhXS0tLQpUuXmugjERERkclgrEVERESm4pHmp/f29pamKSYiIiIiw2KsRURERKZA76TUn3/+WeX7TZs2feTOEBEREZk6xlpERERkKvT++V7z5s3h7u5e6T8iIiIienSGjLVWr16NDh06oEGDBmjQoAF8fX3x3XffSe8LIRAZGQlXV1dYWVnBz88Pp0+f1lhHUVERpk2bBkdHR9jY2GDo0KG4cuWKQbaViIiITJveT0r99NNPGq/VajV++uknLF26FIsXLzZYx4iIiIhMkSFjrSZNmuC9995Dq1atAACbNm3CsGHD8NNPP6F9+/aIjY3F0qVLsXHjRrRu3RqLFi1CQEAAzp49C1tbWwBAeHg49uzZg+3bt8PBwQEREREIDg5Genq6xmzHRFS5N9PM8WZaotHaX8GJO4mojtI7KdWxY0etsq5du8LV1RXvv/8+RowYYZCOEREREZkiQ8ZaQ4YM0Xi9ePFirF69GkePHkW7du2wfPlyzJ8/X1rnpk2boFKpsG3bNkyaNAm5ublYt24dtmzZgv79+wMA4uPj4ebmhuTkZAQFBT3GlhIREZGp0/vne5Vp3bo1Tpw4YajVEREREdFDHjfWKikpwfbt23H37l34+voiMzMTWVlZCAwMlOooFAr07dsXqampAID09HSo1WqNOq6urvDy8pLqEBERET0qvZ+UysvL03gthMC1a9cQGRkJDw8Pg3WMiIiIyBQZOtb69ddf4evri3v37qF+/frYuXMn2rVrJyWVVCqVRn2VSoXLly8DALKysmBhYQE7OzutOllZWZW2WVRUhKKiIq1tUqvVUKvVem/D4ypr0xht16X2ybQZ+/wzxfZNedvZPtvXtV29k1INGzaETCbTKBNCwM3NDdu3b9d3dURERET0EEPHWp6ensjIyMDt27fx9ddfY/To0UhJSZHer6it8mXlVVcnJiYGUVFRWuUHDx6EtbW1nltgOElJSUZr2/jt6x3201PGtM9/47ZvytvO9k23/YKCAp3q6X13OnjwoMbrevXqoVGjRmjVqhXMzXmzIyIiInocho61LCwspIHOu3btihMnTmDFihWYM2cOgAdPQ7m4uEj1s7OzpaennJ2dUVxcjJycHI2npbKzs9GzZ89K25w3bx5mzpwpvc7Ly4Obmxv69esHBwcHvbfhcanVaiQlJSEgIAByudwk20faweor0lPNlM9/Y7VvytvO9tn+zZs3daqnd2TTt29fvTtDRERERLqp6VhLCIGioiK4u7vD2dkZSUlJ6Ny5MwCguLgYKSkpWLJkCQCgS5cukMvlSEpKQkhICADg2rVrOHXqFGJjYyttQ6FQQKFQaJXL5XKjBMZsn8j4558pt2/K2872Tbd9XdvUOym1e/fuCstlMhksLS3RqlUruLu767taIiIiIoJhY623334bAwcOhJubG+7cuYPt27fj0KFDSEhIgEwmQ3h4OKKjo+Hh4QEPDw9ER0fD2toaoaGhAAClUonx48cjIiICDg4OsLe3x6xZs+Dt7S3NxkdERET0qPROSg0fPhwymQxCCI3ysjKZTIbevXtj165dWoNiEhEREVHVDBlrXb9+HWFhYbh27RqUSiU6dOiAhIQEBAQEAABmz56NwsJCTJkyBTk5OfDx8UFiYiJsbW2ldSxbtgzm5uYICQlBYWEh/P39sXHjRpiZmRl+44mIiMik1NN3gaSkJHTr1g1JSUnIzc1Fbm4ukpKS0L17d+zduxeHDx/GzZs3MWvWrJroLxEREdFTzZCx1rp163Dp0iUUFRUhOzsbycnJUkIKeJDoioyMxLVr13Dv3j2kpKTAy8tLYx2WlpaIi4vDzZs3UVBQgD179sDNzc3g201ERESmR+8npd588018/PHHGoNb+vv7w9LSEhMnTsTp06exfPlyjBs3zqAdJSIiIjIFjLWIiIjIVOj9pNTFixfRoEEDrfIGDRrgjz/+AAB4eHjgn3/+efzeEREREZkYxlpERERkKvROSnXp0gVvvfUWbty4IZXduHEDs2fPRrdu3QAA58+fR5MmTQzXSyIiIiITwViLiIiITIXeSal169YhMzMTTZo0QatWreDh4YEmTZrg0qVL+PTTTwEA+fn5WLBgQbXrOnz4MIYMGQJXV1fIZDLs2rVL430hBCIjI+Hq6gorKyv4+fnh9OnTGnWKioowbdo0ODo6wsbGBkOHDsWVK1c06uTk5CAsLAxKpRJKpRJhYWG4ffu2vptOREREVOMMGWsRERER1WV6jynl6emJM2fO4Pvvv8e5c+cghECbNm0QEBCAevUe5LiGDx+u07ru3r2Ljh07YuzYsXjhhRe03o+NjcXSpUuxceNGtG7dGosWLUJAQADOnj0rzQoTHh6OPXv2YPv27XBwcEBERASCg4ORnp4uzQoTGhqKK1euICEhAQAwceJEhIWFYc+ePfpuPhEREVGNMmSsRURERFSX6Z2UAh7M1DJgwAAMGDDgsRofOHAgBg4cWOF7QggsX74c8+fPx4gRIwAAmzZtgkqlwrZt2zBp0iTk5uZi3bp12LJlC/r37w8AiI+Ph5ubG5KTkxEUFIQzZ84gISEBR48ehY+PDwDgk08+ga+vL86ePQtPT8/H2gYiIiIiQzNUrEVERERUlz1SUqo2ZGZmIisrC4GBgVKZQqFA3759kZqaikmTJiE9PR1qtVqjjqurK7y8vJCamoqgoCCkpaVBqVRKCSkA6NGjB5RKJVJTUytNShUVFaGoqEh6nZeXBwBQq9VQq9WG3twnXtk+4b6hJwHP06rxejYNPM7V474hIiIiqll1NimVlZUFAFCpVBrlKpUKly9flupYWFjAzs5Oq07Z8llZWXByctJav5OTk1SnIjExMYiKitIqT0xMhLW1tX4bY0KSkpKM3YU6rs5eciZl3759xu7CE4HXs2ngca5cQUGBsbtARERE9FSr838hy2QyjddCCK2y8srXqah+deuZN28eZs6cKb3Oy8uDm5sbAgMDK5ym2dSp1WokJSUhICAAcrnc2N2ps95MSzR2FwjAoEGDjN2FOo3Xs2ngca5e2VPSRERERFQz6mxSytnZGcCDJ51cXFyk8uzsbOnpKWdnZxQXFyMnJ0fjaans7Gz07NlTqnP9+nWt9d+4cUPrKayHKRQKKBQKrXK5XM7gvQrcP/Qk4DmqG17PpoHHuXLcL0REREQ165GSUqWlpbhw4QKys7NRWlqq8V6fPn0M0jF3d3c4OzsjKSkJnTt3BgAUFxcjJSUFS5YsAQB06dIFcrkcSUlJCAkJAQBcu3YNp06dQmxsLADA19cXubm5OH78OLp37w4AOHbsGHJzc6XEFREREVFdUhuxFhEREZGx6Z2UOnr0KEJDQ3H58mUIITTek8lkKCkp0Xld+fn5uHDhgvQ6MzMTGRkZsLe3R9OmTREeHo7o6Gh4eHjAw8MD0dHRsLa2RmhoKABAqVRi/PjxiIiIgIODA+zt7TFr1ix4e3tLs/G1bdsWAwYMwIQJE7B27VoAwMSJExEcHMyZ94iIiKjOMWSsRURERFSX6Z2Umjx5Mrp27Ypvv/0WLi4u1Y7vVJWTJ0+iX79+0uuyMZxGjx6NjRs3Yvbs2SgsLMSUKVOQk5MDHx8fJCYmwtbWVlpm2bJlMDc3R0hICAoLC+Hv74+NGzfCzMxMqrN161ZMnz5dmqVv6NChWLly5SP3m4iIiKimGDLWIiIiIqrL9E5KnT9/Hl999RVatWr12I37+flpfQP4MJlMhsjISERGRlZax9LSEnFxcYiLi6u0jr29PeLj4x+nq0RERES1wpCxFhEREVFdVk/fBXx8fDR+ckdEREREhsNYi4iIiEyF3k9KTZs2DREREcjKyoK3t7fWzDQdOnQwWOeIiIiITA1jLSIiIjIVeielXnjhBQDAuHHjpDKZTAYhBAffJCIiInpMjLWIiIjIVOidlMrMzKyJfhARERERGGsRERGR6dA7KdWsWbOa6AcRERERgbEWERERmQ69k1IAcPHiRSxfvhxnzpyBTCZD27Zt8eabb6Jly5aG7h8RERGRyWGsRUSG9GaaOd5MSzRa+yt8jdY0EdVxes++9/3336Ndu3Y4fvw4OnToAC8vLxw7dgzt27dHUlJSTfSRiIiIyGQw1iIiIiJTofeTUnPnzsWMGTPw3nvvaZXPmTMHAQEBBuscERERkalhrEVERESmQu8npc6cOYPx48drlY8bNw6//fabQTpFREREZKoYaxEREZGp0Dsp1ahRI2RkZGiVZ2RkwMnJyRB9IiIiIjJZjLWIiIjIVOj9870JEyZg4sSJ+OOPP9CzZ0/IZDIcOXIES5YsQURERE30kYiIiMhkMNYiIiIiU6F3UmrBggWwtbXFhx9+iHnz5gEAXF1dERkZienTpxu8g0RERESmhLEWERERmQq9k1IymQwzZszAjBkzcOfOHQCAra2twTtGREREZIoYaxEREZGp0Dsp9TAGSEREREQ1h7EWERERPc30TkrdvHkTCxcuxMGDB5GdnY3S0lKN92/dumWwzhERERGZGsZaREREZCr0Tkq99tpruHjxIsaPHw+VSgWZTFYT/SIiIiIySYy1iIiIyFTonZQ6cuQIjhw5go4dO9ZEf4iIiIhMGmMtIiIiMhX19F2gTZs2KCwsrIm+aLl//z7+/e9/w93dHVZWVmjRogXeffddjcfYhRCIjIyEq6srrKys4Ofnh9OnT2usp6ioCNOmTYOjoyNsbGwwdOhQXLlypVa2gYiIiEgftRlrERERERmT3kmpVatWYf78+UhJScHNmzeRl5en8c+QlixZgjVr1mDlypU4c+YMYmNj8f777yMuLk6qExsbi6VLl2LlypU4ceIEnJ2dERAQIM1WAwDh4eHYuXMntm/fjiNHjiA/Px/BwcEoKSkxaH+JiIiIHldtxlpERERExqT3z/caNmyI3NxcPPfccxrlQgjIZDKDJnrS0tIwbNgwDB48GADQvHlzfPbZZzh58qTU5vLlyzF//nyMGDECALBp0yaoVCps27YNkyZNQm5uLtatW4ctW7agf//+AID4+Hi4ubkhOTkZQUFBBusvERER0eOqzViLiIiIyJj0TkqNHDkSFhYW2LZtW40Pvtm7d2+sWbMG586dQ+vWrfHzzz/jyJEjWL58OQAgMzMTWVlZCAwMlJZRKBTo27cvUlNTMWnSJKSnp0OtVmvUcXV1hZeXF1JTUytNShUVFaGoqEh6XfbNpFqthlqtroGtfbKV7RPuG3oS8DytGq9n08DjXD1j7ZvajLWIiIiIjEnvpNSpU6fw008/wdPTsyb6o2HOnDnIzc1FmzZtYGZmhpKSEixevBivvvoqACArKwsAoFKpNJZTqVS4fPmyVMfCwgJ2dnZadcqWr0hMTAyioqK0yhMTE2Ftbf1Y2/U0S0pKMnYX6ji9LzmqAfv27TN2F54IvJ5NA49z5QoKCozSbm3GWkRERETGpPdfyF27dsVff/1VK4HS559/jvj4eGzbtg3t27dHRkYGwsPD4erqitGjR0v1yn+DWPZ4e1WqqzNv3jzMnDlTep2Xlwc3NzcEBgaiQYMGj7hFTy+1Wo2kpCQEBARALpcbuzt11ptpicbuAgEYNGiQsbtQp/F6Ng08ztUz1vhNtRlrERERERmT3kmpadOm4c0338Rbb70Fb29vrUC2Q4cOBuvcW2+9hblz5+KVV14BAHh7e+Py5cuIiYnB6NGj4ezsDODB01AuLi7SctnZ2dLTU87OziguLkZOTo7G01LZ2dno2bNnpW0rFAooFAqtcrlczuC9Ctw/9CTgOaobXs+mgce5csbaL7UZaxEREREZk95JqZdffhkAMG7cOKlMJpPVyOCbBQUFqFdPc4JAMzMzlJaWAgDc3d3h7OyMpKQkdO7cGQBQXFyMlJQULFmyBADQpUsXyOVyJCUlISQkBABw7do1nDp1CrGxsQbrKxEREZEh1GasRURERGRMeielMjMza6IfFRoyZAgWL16Mpk2bon379vjpp5+wdOlSKUiTyWQIDw9HdHQ0PDw84OHhgejoaFhbWyM0NBQAoFQqMX78eERERMDBwQH29vaYNWsWvL29pdn4iIiIiOqK2oy1iIiIiIxJ76RUs2bNaqIfFYqLi8OCBQswZcoUZGdnw9XVFZMmTcLChQulOrNnz0ZhYSGmTJmCnJwc+Pj4IDExEba2tlKdZcuWwdzcHCEhISgsLIS/vz82btwIMzOzWtsWIiIiIl0YMtaKiYnBjh078Pvvv8PKygo9e/bEkiVLNMarEkIgKioKH3/8sRRL/fe//0X79u2lOkVFRZg1axY+++wzKZZatWoVmjRpYrC+EhERkel5pKnArl69ih9++AHZ2dnST+nKTJ8+3SAdAwBbW1ssX74cy5cvr7SOTCZDZGQkIiMjK61jaWmJuLg4xMXFGaxvRERERDXFULFWSkoKpk6dim7duuH+/fuYP38+AgMD8dtvv8HGxgYAEBsbi6VLl2Ljxo1o3bo1Fi1ahICAAJw9e1b6ki88PBx79uzB9u3b4eDggIiICAQHByM9PZ1f8hEREdEj0zsptWHDBkyePBkWFhZwcHDQmMFOJpMZNClFREREZGoMGWslJCRordvJyQnp6eno06cPhBBYvnw55s+fjxEjRgAANm3aBJVKhW3btmHSpEnIzc3FunXrsGXLFmnog/j4eLi5uSE5ORlBQUEG2GoiIiIyRfWqr6Jp4cKFWLhwIXJzc3Hp0iVkZmZK//7444+a6CMRERGRyajJWCs3NxcAYG9vD+DB+FVZWVkIDAyU6igUCvTt2xepqakAgPT0dKjVao06rq6u8PLykuoQERERPQq9n5QqKCjAK6+8ojUrHhERERE9vpqKtYQQmDlzJnr37g0vLy8AQFZWFgBApVJp1FWpVLh8+bJUx8LCAnZ2dlp1ypYvr6ioCEVFRdLrvLw8AIBarYZarTbMBumhrE1jtF2X2icyJmOf//zsYfts3zjtV0fvpNT48ePx5ZdfYu7cuXp3ioiIiIiqVlOx1htvvIFffvkFR44c0Xrv4Z8IAg8SWOXLyquqTkxMDKKiorTKDx48CGtraz16bVhJSUlGa9v47T/SULJEBmPK158pbzvbN932CwoKdKqn990pJiYGwcHBSEhIgLe3N+Ryucb7S5cu1XeVRERERPT/1USsNW3aNOzevRuHDx/WmDHP2dkZwIOnoVxcXKTy7Oxs6ekpZ2dnFBcXIycnR+NpqezsbPTs2bPC9ubNm4eZM2dKr/Py8uDm5oZ+/frBwcFB7/4/LrVajaSkJAQEBGjtT1NpH2kHa71dooeZ4vVXF659ts/2jdX+zZs3daqnd1IqOjoa33//vTSVcPnBN4mIiIjo0Rky1hJCYNq0adi5cycOHToEd3d3jffd3d3h7OyMpKQkdO7cGQBQXFyMlJQULFmyBADQpUsXyOVyJCUlISQkBABw7do1nDp1CrGxsRW2q1AooFAotMrlcrlRAmO2T2R8xj7/jdm+KW872zfd9nVtU++k1NKlS7F+/XqMGTNG30WJiIiIqBqGjLWmTp2Kbdu24ZtvvoGtra00BpRSqYSVlRVkMhnCw8MRHR0NDw8PeHh4IDo6GtbW1ggNDZXqjh8/HhEREXBwcIC9vT1mzZoFb29vaTY+IiIiokehd1JKoVCgV69eNdEXIiIiIpNnyFhr9erVAAA/Pz+N8g0bNkhJr9mzZ6OwsBBTpkxBTk4OfHx8kJiYCFtbW6n+smXLYG5ujpCQEBQWFsLf3x8bN26EmZmZQfpJREREpknvaV3efPNNxMXF1URfiIiIiEyeIWMtIUSF/x5+CksmkyEyMhLXrl3DvXv3kJKSIs3OV8bS0hJxcXG4efMmCgoKsGfPHri5uRmkj0RERGS69H5S6vjx4zhw4AD27t2L9u3ba/1OcMeOHQbrHBEREZGpYaxFREREpkLvpFTDhg0xYsSImugLERERkcljrEVERESmQu+k1IYNG2qiH0REREQExlpERERkOvROSpW5ceMGzp49C5lMhtatW6NRo0aG7BcRERGRSWOsRURERE87vQc6v3v3LsaNGwcXFxf06dMHzz77LFxdXTF+/HgUFBTURB+JiIiITAZjLSIiIjIVeielZs6ciZSUFOzZswe3b9/G7du38c033yAlJQURERE10UciIiIik8FYi4iIiEyF3j/f+/rrr/HVV1/Bz89PKhs0aBCsrKwQEhKC1atXG7J/RERERCaFsRYRERGZCr2flCooKIBKpdIqd3Jy4iPlRERERI+JsRYRERGZCr2TUr6+vnjnnXdw7949qaywsBBRUVHw9fU1aOcA4OrVq3jttdfg4OAAa2trdOrUCenp6dL7QghERkbC1dUVVlZW8PPzw+nTpzXWUVRUhGnTpsHR0RE2NjYYOnQorly5YvC+EhERET2u2o61iIiIiIxF75/vrVixAgMGDECTJk3QsWNHyGQyZGRkwNLSEt9//71BO5eTk4NevXqhX79++O677+Dk5ISLFy+iYcOGUp3Y2FgsXboUGzduROvWrbFo0SIEBATg7NmzsLW1BQCEh4djz5492L59OxwcHBAREYHg4GCkp6fDzMzMoH0mIiIiehy1GWsRERERGZPeSSkvLy+cP38e8fHx+P333yGEwCuvvIKRI0fCysrKoJ1bsmQJ3NzcsGHDBqmsefPm0v8LIbB8+XLMnz8fI0aMAABs2rQJKpUK27Ztw6RJk5Cbm4t169Zhy5Yt6N+/PwAgPj4ebm5uSE5ORlBQkEH7TERERPQ4ajPWIiIiIjImvZNSAGBlZYUJEyYYui9adu/ejaCgILz00ktISUlB48aNMWXKFKntzMxMZGVlITAwUFpGoVCgb9++SE1NxaRJk5Ceng61Wq1Rx9XVFV5eXkhNTa00KVVUVISioiLpdV5eHgBArVZDrVbXxOY+0cr2CfcNPQl4nlaN17Np4HGunjH3TW3FWkRERETGpHdSKiYmBiqVCuPGjdMoX79+PW7cuIE5c+YYrHN//PEHVq9ejZkzZ+Ltt9/G8ePHMX36dCgUCowaNQpZWVkAoDUYqEqlwuXLlwEAWVlZsLCwgJ2dnVadsuUrEhMTg6ioKK3yxMREWFtbP+6mPbWSkpKM3YU67pHywGRg+/btM3YXngi8nk0Dj3PljDWoeG3GWkRERETGpPdfyGvXrsW2bdu0ytu3b49XXnnFoIFSaWkpunbtiujoaABA586dcfr0aaxevRqjRo2S6slkMo3lhBBaZeVVV2fevHmYOXOm9DovLw9ubm4IDAxEgwYNHmVznmpqtRpJSUkICAiAXC43dnfqrDfTEo3dBcKDqdWpcryeTQOPc/XKnpKubbUZaxEREREZk95JqaysLLi4uGiVN2rUCNeuXTNIp8q4uLigXbt2GmVt27bF119/DQBwdnausE/Z2dnS01POzs4oLi5GTk6OxtNS2dnZ6NmzZ6VtKxQKKBQKrXK5XM7gvQrcP/Qk4DmqG17PpoHHuXLG2i+1GWsRERERGZPeSSk3Nzf88MMPcHd31yj/4Ycf4OrqarCOAUCvXr1w9uxZjbJz586hWbNmAAB3d3c4OzsjKSkJnTt3BgAUFxcjJSUFS5YsAQB06dIFcrkcSUlJCAkJAQBcu3YNp06dQmxsrEH7S0QEAM3nfmvsLhiA+RP/ZN+l9wYbuwtEj6Q2Yy0iIiIiY9I7KfWvf/0L4eHhUKvVeO655wAA+/fvx+zZsxEREWHQzs2YMQM9e/ZEdHQ0QkJCcPz4cXz88cf4+OOPATz42V54eDiio6Ph4eEBDw8PREdHw9raGqGhoQAApVKJ8ePHIyIiAg4ODrC3t8esWbPg7e0tzcZHREREVFfUZqxFREREZEx6J6Vmz56NW7duYcqUKSguLgYAWFpaYs6cOZg3b55BO9etWzfs3LkT8+bNw7vvvgt3d3csX74cI0eO1OhPYWEhpkyZgpycHPj4+CAxMRG2trZSnWXLlsHc3BwhISEoLCyEv78/Nm7cCDMzM4P2l4iIiOhx1WasRURERGRMeielZDIZlixZggULFuDMmTOwsrKCh4dHheMvGUJwcDCCg4Or7E9kZCQiIyMrrWNpaYm4uDjExcXVQA+JiIiIDKe2Yy0iIiIiY3nk+enr16+Pbt26GbIvRERERPT/MdYioqfFm2nGHatyha/RmiaiatQzdgeIiIiIiIiIiMj0MClFRERERERERES1jkkpIiIiIiIiIiKqdUxKERERERERERFRrWNSioiIiIiIiIiIah2TUkREREREREREVOuYlCIiIiIiIiIiolrHpBQREREREREREdU6JqWIiIiIiIiIiKjWMSlFRERERERERES1jkkpIiIiIiIiIiKqdUxKERERERERERFRrWNSioiIiIiIiIiIah2TUkREREREREREVOvMjd0BIiIiIqKn3Ztp5ngzLdHY3SAiIqpT+KQUERERERERERHVuicqKRUTEwOZTIbw8HCpTAiByMhIuLq6wsrKCn5+fjh9+rTGckVFRZg2bRocHR1hY2ODoUOH4sqVK7XceyIiIiIiIiIiKvPEJKVOnDiBjz/+GB06dNAoj42NxdKlS7Fy5UqcOHECzs7OCAgIwJ07d6Q64eHh2LlzJ7Zv344jR44gPz8fwcHBKCkpqe3NICIiIiIiIiIiPCFJqfz8fIwcORKffPIJ7OzspHIhBJYvX4758+djxIgR8PLywqZNm1BQUIBt27YBAHJzc7Fu3Tp8+OGH6N+/Pzp37oz4+Hj8+uuvSE5ONtYmERERERERERGZtCdioPOpU6di8ODB6N+/PxYtWiSVZ2ZmIisrC4GBgVKZQqFA3759kZqaikmTJiE9PR1qtVqjjqurK7y8vJCamoqgoKAK2ywqKkJRUZH0Oi8vDwCgVquhVqsNvYlPvLJ9wn1DTwKep6aBx7lq/NyuHvcNERERUc2q80mp7du3Iz09HSdPntR6LysrCwCgUqk0ylUqFS5fvizVsbCw0HjCqqxO2fIViYmJQVRUlFZ5YmIirK2t9d4OU5GUlGTsLtRxdf6SMwn79u2r4RZ4nOuCmj/OTwd+bleuoKDA2F14bIcPH8b777+P9PR0XLt2DTt37sTw4cOl94UQiIqKwscff4ycnBz4+Pjgv//9L9q3by/VKSoqwqxZs/DZZ5+hsLAQ/v7+WLVqFZo0aWKELSIiIqKnSZ3+y+mvv/7Cm2++icTERFhaWlZaTyaTabwWQmiVlVddnXnz5mHmzJnS67y8PLi5uSEwMBANGjTQcQtMh1qtRlJSEgICAiCXy43dnTqLU0HXDYMGDarR9fM41w01fZyfdPzcrl7ZU9JPsrt376Jjx44YO3YsXnjhBa33y8bm3LhxI1q3bo1FixYhICAAZ8+eha2tLYAHY3Pu2bMH27dvh4ODAyIiIhAcHIz09HSYmZnV9iYRERHRU6ROJ6XS09ORnZ2NLl26SGUlJSU4fPgwVq5cibNnzwJ48DSUi4uLVCc7O1t6esrZ2RnFxcXIycnReFoqOzsbPXv2rLRthUIBhUKhVS6Xyxm8V4H7h54EPEdNA4+zbvi5XbmnYb8MHDgQAwcOrPC98mNzAsCmTZugUqmwbds2TJo0SRqbc8uWLejfvz8AID4+Hm5ubkhOTq50GAQiIiIiXdTpgc79/f3x66+/IiMjQ/rXtWtXjBw5EhkZGWjRogWcnZ01fnpQXFyMlJQUKeHUpUsXyOVyjTrXrl3DqVOnqkxKERERET3NqhubE0C1Y3MSERERPY46/aSUra0tvLy8NMpsbGzg4OAglYeHhyM6OhoeHh7w8PBAdHQ0rK2tERoaCgBQKpUYP348IiIi4ODgAHt7e8yaNQve3t7SN35EREREpqYmx+asaxPGGHtgfw6aT2R8pvzZw/bZvjHbr06dTkrpYvbs2SgsLMSUKVOkAToTExOlcRAAYNmyZTA3N0dISIg0QOfGjRs5DgIRERGZvJoYm7OyCWMOHjxo1AljjDuw/xMfdhM90Yx5/Rt7UhG2z/aNQdcJY564u+OhQ4c0XstkMkRGRiIyMrLSZSwtLREXF4e4uLia7RwRERHRE8LZ2RlAzYzNWdmEMf369YODg4OhN6Vaxh7YX61WA2kHa71dIvo/xrj+68JnD9tn+8Zq/+bNmzrVe+KSUkRERET0+Nzd3aWxOTt37gzg/8bmXLJkCQDNsTlDQkIA/N/YnLGxsZWuu65OGGPs9onIeIx5/Rv7s4fts31jtK9rm0xKERERET2l8vPzceHCBel1ZmYmMjIyYG9vj6ZNm3JsTiIiIjIqJqWIiIiInlInT55Ev379pNdlP6kbPXo0Nm7cyLE5iYiIyKiYlCIiIiJ6Svn5+UEIUen7HJuTiIiIjIlJKarU4cOH8f777yM9PR3Xrl3Dzp07MXz4cOn9/Px8zJ07F7t27cLNmzfh6OiIOXPm4I033tBYT1paGubPn49jx45BLpejU6dO+O6772BlZVXLW0QAcO+vU8g79jWKr19ESf4tNHp+Pqxb+0rv//PtMtw9tV9jGQsXT7iM+lB6Le6rkXNwHe6eOQxxvwiWzTrCPmAKzBs4SnXUt64i5+B6FF09A1GihkWj5mj4bBgsm3Wo+Y0kLbePbEXuD59plNWzaQi3N+IBAJeXBFe4XEO/sVD6vAAAUOdcQ87BdSi68htEiRpW7l1gHzAJZjZ2FS5LdcPq1auxevVqXLp0CQDQvn17LFy4UOOnV2fOnMGcOXOQkpKC0tJStG/fHl988QWaNm1qpF4TERERkSlgUooqdffuXXTs2BFjx47FCy+8oPX+jBkzcPDgQcTHx6Nx48ZYtmwZwsPD4ebmhmHDhgF4kJAaMGAA5s2bh7i4OFhYWODnn39GvXr1antz6P8Txfcgd2qB+t4BuLErusI6lu5d4Dgo/P8KzDQ/Km7t/xiFF47DcehsmFnZ4taBdcj+Ogouo5dDVu/Bzzmyv4qE3K4xVK8shszcAnkndyP76yg0nvgpzOoziWEMcsemUL28+P8KHroOm0zdolG38I+TuPndR7D27AUAKC2+h+wvFkDu5A7Vqw/Om9v/i0f21+/COexDyGS8puuqJk2a4L333kOrVq0AAJs2bcKwYcNw/PhxAMDFixfRu3dvjB8/HlFRUVAqlThz5gwsLS2N2W0iIiIiMgFMSlGlBg4ciIEDB1b6flpaGkaPHg0/Pz+o1WoEBQXh6NGjOHnypJSUmjFjBqZPn465c+dKy3l4eNR436lyVi27wqpl1yrryMzllSaOSovuIv+XJDgGz4RV804AAMfgCFxdPRb3LmXAqkUXlBTk4n7ONTgMfBMWTu4AALu+o5H/07co/ucyrJiUMo56ZpUe1/LlBReOwbKZN+QNH0wZX3T1N9zPzYbLmI9QT2ENAHAYFI4rK17Bvcu/SOcC1T1DhgzReL148WKsXr0ax48fh0qlwsKFCzFo0CCNmdRatGhR290kIiIiIhPEr7bpkfXu3Ru7d+/G1atXIYTAr7/+ivPnzyMoKAgAkJ2djWPHjsHJyQk9e/aESqVC3759ceTIESP3nKpz789f8VfcSFz9eCJufvcRSu7elt4ryroAlN6HpfszUpm5rQPkjk1RdPV3AEA9qwaQO7jh7qkDKC2+B1FagjsZCahn0xAK51a1vTn0/93P+RtX/jsKV9aMx41vlkB9O6vCeiV3c1B48QTqdwiUykSJGgAgM/u/qV1lZnJAVg9FV07XbMfJYEpKSrB9+3bcvXsXPj4+KC0txXfffYfWrVsjKCgITk5O8PHxwa5du4zdVSIiIiIyAUxK0SP76KOP0K5dOzRp0gQ2NjaIiorCRx99hN69ewMA/vjjDwBAZGQkJkyYgISEBDzzzDPw9/fH+fPnjdl1qoJViy5wHDILqlcWw+658SjKOo/r29+GuP8gKVF6NwcwM4eZZX2N5cxs7FByNwfAg4FznV7+D4qz/8Bfy17Cnx88jzsnd0H10ruoV245qh0KF084DJ4Jp5B34TBgGkru5iArfhZKCvO06uaf2o96Flawbt3z/5Z3bQOZ3BI5hzagVH0PpcX3cPvQekCUoiQ/pzY3hR7Br7/+ivr160OhUGDy5MnYuXMn2rVrh9zcXOTn5+O9997DgAEDkJiYiOeffx4jRoxASkqKsbtNRERERE85/nyPHtlHH32Eo0ePYvfu3XB1dcXatWsxffp0uLm5oX///igtLQUATJo0CWPHjgUAdO7cGfv378f69esRExNjzO5TJWza9pH+36JRc1g4e+Dq6nEovHgC1p49K19QCEBW9r8CtxJXo561EqqRSyAzt0D+L4nI/ioKzqOXwby+fQ1vBZWn8ZPNRg+STFc//hfu/rofDbo/r1E3/5dk2LTzg8zcQiozs1ai0fC5uJW4CnfS9wAyGWza9YWFqqXG2FRUN3l6eiIjIwO3b9/G119/jdGjRyM5OVmalW3YsGGYMWMGAKBTp05ITU3FmjVr0LdvX2N2m4iIiIieckxK0SMpLCzE22+/jZ07d2Lw4MFQq9UYPHgw7t+/jw8++AD9+/eHi4sLAKBdu3Yay7Zt2xZ//vmnMbpNj8C8vj3MlY2gzvkbAFDPxg4ouY+Se/kaT0uVFNyGonFbAMC9yz+j8OIJuL25XRp/SOHcClcv/YS7p/ZD2eOl2t8Q0lDPwhIWjs2l41rm3l+ncP/WFfy/9u48roqy/R/457Af2RRUFkVwBVfcUhEVF5C0DOsp+z2agpppGkKWllmKWa6Ppmlq9hCmuVQSlqkImrgvLOIGgiguFWYiKriwXr8/+DKPhx2Fc1Q+79fL18uZuc/c13XmwFzcZ+YeM59pJV6jbtoZjcb/F/n3bkOlpw89EzNcXfEG6ljaaCtsekRGRkbKROddu3ZFdHQ0VqxYAW9vbxgYGJT6e5q3WhMR0bMi4IgBAo5E6KTvZW4VtyGqzfj1Nj2S3Nxc5ObmlniKnr6+vnKFlJOTE+zt7ZGUlKTRJjk5GY6OjlqLlR5P/v07yLtzQ5kI29i2BaBngAepJ5Q2eVk3kXvjCowbuQAAJC+7cINKpbkzlV7hFVWkc5KXi9z0q9AvdtVa1qlIGNm2gFHDsie61q9jCT0TM9y/fBIFd2+jTovuNR0uVTMRQXZ2NgwNDdG1a1f+niYiIiIineCVUlSmrKwspKSkKMupqamIj4+HlZUVmjRpAg8PD0ydOhVqtRr29vbYs2cPvv/+eyxZsgRA4bxCU6dOxaxZs+Dq6oqOHTviu+++w7lz57BlyxZdpVXrFeTcR15GmrKcd/tv5Px9EXpqM+iZmOP2wY2o49wT+mZWyLv9N27tWwd9tQXqtCz8mkfP2BRmHbyQsTcYempz6KvNkbE3GIYNHGHyf09gM7Z3gZ6JGdK3fwFL9/8HlYExsk7uQt6tvyt88h/VjIzfg6Fu0Q36Fg1QcO82bh/ejIKcezBrN0BpU5B9D/eSDqJev7Gl7iPrVCQMrR2gV8cS2X+dQ8buNTB/zgeG1o21lQY9go8++giDBg2Cg4MDMjMzsXnzZkRFReG3335DTk4OpkyZghEjRqBPnz7o168fwsPDsW3bNkRFRek6dCIiIiJ6xnFQisoUExODfv36KctTpkwBAPj6+mLt2rXYvHkzpk+fjhEjRuDmzZuwtrbGp59+igkTJiivCQwMxIMHD/Duu+/i5s2bcHV1RWRkJJo3b671fKhQzrXz+HvTR8pyxu//BQCYthsAq4ETkfPPJWSd/R0FD+5C36weTJp0QH2fD5Tb8ADAasA4ZOjp48YvCyB5OTBx7ICG/3oXKj19AIVX0jR8bTZu7V+HvzfNgBTkwbB+EzR85eNyr8ChmpOXeQM3ti1C/r070K9jAWN7F9iOXAwDy4ZKm7uJ+wEBTNuUPo9Q7s0/kbH/OxTcz4KBZUNYug2D+XNDtZQBPaq///4bI0eORFpaGiwtLdGhQweEh4ejb9++2LFjB4YOHYrVq1dj3rx5mDx5MpydnREaGqo8tIKIiIiIqKZwUIrK1LdvX2US3NLY2toiJCQEQOHtfDt27MDgwYOhKnbL1ocffogPP/ywRmOlyjNp0gGOH/xW5nab1+dUuA+VgRGsvCbAymtCmW2M7VpWal+kHQ18PqiwjXnH52He8fkyt9fr64d6ff2qMSrShuDg4FLX5+bmKv8fM2YMxowZo62QiIiIiIgAcE4pIiIiIiIiIiLSgSd6UGrevHl47rnnYG5ujoYNG2Lo0KElJmMVEQQFBcHe3h5qtRp9+/bF2bNnNdpkZ2fD398f9evXh6mpKV566SX88ccf2kyFiIiIiIiIiIge8kQPSu3btw+TJk3C0aNHERkZiby8PAwcOBB3795V2ixcuBBLlizBihUrEB0dDVtbW3h5eSEzM1NpExgYiLCwMGzevBkHDx5EVlYWXnzxReTn5+siLSIiIiIiIiKiWu+JnlMqPDxcYzkkJAQNGzZEbGws+vTpAxHB0qVLMWPGDLzyyisAgO+++w42NjbYuHEjxo8fj9u3byM4OBjr16+Hp6cnAOD777+Hg4MDdu/eDW9vb63nRURERERERERU2z3RV0oVd/v2bQCAlZUVACA1NRXXrl3DwIEDlTbGxsbw8PDA4cOHAQCxsbHIzc3VaGNvb4927dopbYiIiIiIiIiISLue6CulHiYimDJlCnr16oV27doBAK5duwYAsLGx0WhrY2ODy5cvK22MjIxQr169Em2KXl+a7OxsZGdnK8t37twBUPi0ooefWESFit4Tvjf0NODntHbgcS4ff29XjO8NERERUc16agal3nnnHZw6dQoHDx4ssU2lUmksi0iJdcVV1GbevHmYPXt2ifURERGoU6dOJaOufSIjI3UdwhPuqfmRe6bt2LGjhnvgcX4S1Pxxfjbw93bZ7t27p+sQiIiIiJ5pT8VfTv7+/vj111+xf/9+NG7cWFlva2sLoPBqKDs7O2X99evXlaunbG1tkZOTg4yMDI2rpa5fv46ePXuW2ef06dMxZcoUZfnOnTtwcHDAwIEDYWFhUW25PStyc3MRGRkJLy8vGBoa6jqcJ1bAkQhdh0AABg8eXKP753F+MtT0cX7a8fd2xYqukiYiIiKimvFED0qJCPz9/REWFoaoqCg0bdpUY3vTpk1ha2uLyMhIdOrUCQCQk5ODffv2YcGCBQCALl26wNDQEJGRkRg2bBgAIC0tDWfOnMHChQvL7NvY2BjGxsYl1hsaGtZI8e704fZq36f2GQBH9uo6iMdyaf4Lug6BtIB/gNcOPM6VU1PntWcB3xciIiKimvVED0pNmjQJGzduxC+//AJzc3NlDihLS0uo1WqoVCoEBgZi7ty5aNmyJVq2bIm5c+eiTp06GD58uNJ27NixeO+992BtbQ0rKyu8//77aN++vfI0PiIiIiIiIiIi0q4nelBq1apVAIC+fftqrA8JCYGfnx8AYNq0abh//z4mTpyIjIwMdO/eHRERETA3N1faf/HFFzAwMMCwYcNw//59DBgwAGvXroW+vr62UiEiIiIiIiIiooc80YNSIlJhG5VKhaCgIAQFBZXZxsTEBMuXL8fy5curMToiIiIiIiIiInpUeroOgIiIiIiIiIiIah8OShERERERERERkdZxUIqIiIiIiIiIiLSOg1JERERERERERKR1HJQiIiIiIiIiIiKt46AUERERERERERFpHQeliIiIiIiIiIhI6zgoRUREREREREREWmeg6wCIiIiIiIiInkUBRwwQcCRCZ/0vc9NZ10SVwiuliIiIiIiIiIhI6zgoRUREREREREREWsdBKSIiIiIiIiIi0joOShERERERERERkdZxUIqIiIiIiIiIiLSOg1JERERERERERKR1BroOgIiIiIiIiIiqX8ARAwQcidBZ/8vcdNY1PSV4pRQREREREREREWldrbpSauXKlVi0aBHS0tLQtm1bLF26FL1799Z1WERE9JRy+nC7rkN4TLr99rQ6XJr/gq5DqFVYSxEREVF1qjWDUj/88AMCAwOxcuVKuLu74+uvv8agQYOQkJCAJk2a6Do8IiIioifa015L6foWFiKi2kjXv3t5++CTr9bcvrdkyRKMHTsWb775Jlq3bo2lS5fCwcEBq1at0nVoRERERE881lJERERU3WrFlVI5OTmIjY3Fhx9+qLF+4MCBOHz4sI6iIiIiIno6sJYiIqKnEa/UevLVikGpGzduID8/HzY2NhrrbWxscO3atVJfk52djezsbGX59u3bAICbN28iNze32mMsyL5X7fukqktPT6/R/fM4Pxl4nGuHmj7OAI/1k6Amj3NmZiYAQERqrI+nRVVrqfLqKF3Izc3lzysREWndvXt5SE9Ph6Ghodb7zs3Nxb1793TWf9E5v6I6qlYMShVRqVQayyJSYl2RefPmYfbs2SXWN23atEZioydD/aW6joC0gce5duBxrh20cZwzMzNhaWlZ8x09BSpbS5VVR7Vq1arGYiMiInrSDNd1AE+A9PT0cuuoWjEoVb9+fejr65f4Ju/69eslvvErMn36dEyZMkVZLigowM2bN2FtbV3mQFZtdufOHTg4OODq1auwsLDQdThUQ3icawce59qBx7liIoLMzEzY29vrOhSdq2otVbyOunXrFhwdHXHlyhWdDPDp+vPO/tk/+6+d/dfm3Nk/+799+zaaNGkCKyurctvVikEpIyMjdOnSBZGRkXj55ZeV9ZGRkfDx8Sn1NcbGxjA2NtZYV7du3ZoM85lgYWHBP25qAR7n2oHHuXbgcS4fr5AqVNVaqrQ6Cih8P3X5edP15539s3/2Xzv7r825s3/2r6dX/vP1asWgFABMmTIFI0eORNeuXeHm5oY1a9bgypUrmDBhgq5DIyIiInrisZYiIiKi6lZrBqVef/11pKen49NPP0VaWhratWuHHTt2wNHRUdehERERET3xWEsRERFRdas1g1IAMHHiREycOFHXYTyTjI2NMWvWrFIv1adnB49z7cDjXDvwONOjeNRaStefN/bP/tk/+9dF/7U5d/bP/ivbv0r4nGMiIiIiIiIiItKy8mecIiIiIiIiIiIiqgEclCIiIiIiIiIiIq3joBQREREREREREWkdB6XosTg5OUGlUpX4N2nSJF2HRtUoLy8PH3/8MZo2bQq1Wo1mzZrh008/RUFBga5Do2qWmZmJwMBAODo6Qq1Wo2fPnoiOjtZ1WPQY9u/fjyFDhsDe3h4qlQpbt27V2C4iCAoKgr29PdRqNfr27YuzZ8/qJliiR7Bq1Sp06NABFhYWsLCwgJubG3bu3Flm+6ioqFJrl3Pnzmkx6upT1fwBIDs7GzNmzICjoyOMjY3RvHlzfPvtt1qKuHpVNX8/P79Sj3/btm21GHX1eZTjv2HDBri6uqJOnTqws7PD6NGjkZ6erqWIq9ej5P/VV1+hdevWUKvVcHZ2xrp167QUbc2aN28eVCoVAgMDy223b98+dOnSBSYmJmjWrBlWr16tnQBrWGXyT0tLw/Dhw+Hs7Aw9Pb0K36unSWXy//nnn+Hl5YUGDRooPy+7du3SXpBl4KAUPZbo6GikpaUp/yIjIwEAr732mo4jo+q0YMECrF69GitWrEBiYiIWLlyIRYsWYfny5boOjarZm2++icjISKxfvx6nT5/GwIED4enpiT///FPXodEjunv3LlxdXbFixYpSty9cuBBLlizBihUrEB0dDVtbW3h5eSEzM1PLkRI9msaNG2P+/PmIiYlBTEwM+vfvDx8fnwoHV5OSkjRqmJYtW2op4ur1KPkPGzYMe/bsQXBwMJKSkrBp0ya4uLhoMerqU9X8ly1bpnHcr169Cisrq6e2dq1q/gcPHsSoUaMwduxYnD17Fj/99BOio6Px5ptvajny6lHV/FetWoXp06cjKCgIZ8+exezZszFp0iRs27ZNy5FXr+joaKxZswYdOnQot11qaioGDx6M3r1748SJE/joo48wefJkhIaGainSmlHZ/LOzs9GgQQPMmDEDrq6uWoqu5lU2//3798PLyws7duxAbGws+vXrhyFDhuDEiRNairQMQlSNAgICpHnz5lJQUKDrUKgavfDCCzJmzBiNda+88oq88cYbOoqIasK9e/dEX19ffvvtN431rq6uMmPGDB1FRdUJgISFhSnLBQUFYmtrK/Pnz1fWPXjwQCwtLWX16tU6iJCoetSrV0/++9//lrpt7969AkAyMjK0G5QWlZf/zp07xdLSUtLT07UclfaUl39xYWFholKp5NKlSzUclfaUl/+iRYukWbNmGuu+/PJLady4sTZC04ry8ndzc5P3339fY11AQIC4u7trI7QakZmZKS1btpTIyEjx8PCQgICAMttOmzZNXFxcNNaNHz9eevToUcNR1pyq5P+wqrR9kj1q/kXatGkjs2fPrpngKolXSlG1ycnJwffff48xY8ZApVLpOhyqRr169cKePXuQnJwMADh58iQOHjyIwYMH6zgyqk55eXnIz8+HiYmJxnq1Wo2DBw/qKCqqSampqbh27RoGDhyorDM2NoaHhwcOHz6sw8iIHk1+fj42b96Mu3fvws3Nrdy2nTp1gp2dHQYMGIC9e/dqKcKaVZn8f/31V3Tt2hULFy5Eo0aN0KpVK7z//vu4f/++lqOtflU5/kWCg4Ph6ekJR0fHGo6u5lUm/549e+KPP/7Ajh07ICL4+++/sWXLFrzwwgtajrb6VSb/7OzsUuuc48ePIzc3VxthVrtJkybhhRdegKenZ4Vtjxw5onHOBwBvb2/ExMTUivyfRY+Tf0FBATIzM2FlZVUDkVWegU57p2fK1q1bcevWLfj5+ek6FKpmH3zwAW7fvg0XFxfo6+sjPz8fn3/+Of7973/rOjSqRubm5nBzc8OcOXPQunVr2NjYYNOmTTh27NhTe1sLle/atWsAABsbG431NjY2uHz5si5CInokp0+fhpubGx48eAAzMzOEhYWhTZs2pba1s7PDmjVr0KVLF2RnZ2P9+vUYMGAAoqKi0KdPHy1HXj2qkv/Fixdx8OBBmJiYICwsDDdu3MDEiRNx8+bNp3Zeqark/7C0tDTs3LkTGzdu1EKUNacq+ffs2RMbNmzA66+/jgcPHiAvLw8vvfTSUz0lQ1Xy9/b2xn//+18MHToUnTt3RmxsLL799lvk5ubixo0bsLOz03L0j2fz5s2IjY1FTExMpdpfu3at1HN+Xl5ercj/WfO4+S9evBh3797FsGHDqjmyquGgFFWb4OBgDBo0CPb29roOharZDz/8gO+//x4bN25E27ZtER8fj8DAQNjb28PX11fX4VE1Wr9+PcaMGYNGjRpBX18fnTt3xvDhwxEXF6fr0KgGFb+6VUR4xSs9VZydnREfH49bt24hNDQUvr6+2LdvX6l/mDo7O8PZ2VlZdnNzw9WrV/Gf//znqR2Uqkr+BQUFUKlU2LBhAywtLQEAS5YswauvvoqvvvoKarVa2+E/tqrk/7C1a9eibt26GDp0qHYCrSFVyT8hIQGTJ0/GzJkz4e3tjbS0NEydOhUTJkxAcHCwDqJ/fFXJ/5NPPsG1a9fQo0cPiAhsbGzg5+eHhQsXQl9fXwfRP7qrV68iICAAERERJa7+Kk9p5/zS1j/pHjX/Z8Xj5r9p0yYEBQXhl19+QcOGDWsgwirQ6c2D9My4dOmS6OnpydatW3UdCtWAxo0by4oVKzTWzZkzR5ydnXUUEdW0rKws+euvv0REZNiwYTJ48GAdR0TVAcXmlLpw4YIAkLi4OI12L730kowaNUrL0RFVnwEDBshbb71V6fafffZZiXlWnmbl5T9q1Chp3ry5xrqEhAQBIMnJydoIr8ZV5vgXFBRIixYtJDAwUEtRaU95+b/xxhvy6quvaqw7cOCAAFDO+0+7yhz/nJwcuXr1quTl5cnKlSvF3Nxc8vPztRRh9QgLCxMAoq+vr/wDICqVSvT19SUvL6/Ea3r37i2TJ0/WWPfzzz+LgYGB5OTkaCv0avEo+T/saZ9T6nHy37x5s6jV6hLzyOoKr5SiahESEoKGDRs+E/ejU0n37t2Dnp7mFHT6+vooKCjQUURU00xNTWFqaoqMjAzs2rULCxcu1HVIVAOaNm0KW1tbREZGolOnTgAK5wfct28fFixYoOPoiB6diCA7O7vS7U+cOPHU3bZSnvLyd3d3x08//YSsrCyYmZkBAJKTk6Gnp4fGjRtrM8waU5njv2/fPqSkpGDs2LFaikp7ysv/3r17MDDQ/BOw6Aoh+b8rZp52lTn+hoaGyud98+bNePHFF0vUuk+6AQMG4PTp0xrrRo8eDRcXF3zwwQelXvnl5uZW4kmDERER6Nq1KwwNDWs03ur2KPk/Sx41/02bNmHMmDHYtGnTE/O3Owel6LEVFBQgJCQEvr6+JU5y9GwYMmQIPv/8czRp0gRt27bFiRMnsGTJEowZM0bXoVE127VrF0QEzs7OSElJwdSpU+Hs7IzRo0frOjR6RFlZWUhJSVGWU1NTER8fDysrKzRp0gSBgYGYO3cuWrZsiZYtW2Lu3LmoU6cOhg8frsOoiSrvo48+wqBBg+Dg4IDMzExs3rwZUVFRCA8PBwBMnz4df/75J9atWwcAWLp0KZycnNC2bVvlIS2hoaFP7SPRq5r/8OHDMWfOHIwePRqzZ8/GjRs3MHXqVIwZM+apvHWvqvkXCQ4ORvfu3dGuXTtdhF1tqpr/kCFDMG7cOKxatUq5fS8wMBDdunV7KqfgqGr+ycnJOH78OLp3746MjAwsWbIEZ86cwXfffafLNB6Jubl5ic+vqakprK2tlfXF858wYQJWrFiBKVOmYNy4cThy5AiCg4OxadMmrcf/uB4lfwCIj48HUFgf/fPPP4iPj4eRkVGl5qF7kjxK/ps2bcKoUaOwbNky9OjRQ5lbVK1WK7dz6wJHEOix7d69G1euXOEAxTNs+fLl+OSTTzBx4kRcv34d9vb2GD9+PGbOnKnr0Kia3b59G9OnT8cff/wBKysr/Otf/8Lnn3/+1H17Rv8TExODfv36KctTpkwBAPj6+mLt2rWYNm0a7t+/j4kTJyIjIwPdu3dHREQEzM3NdRUyUZX8/fffGDlyJNLS0mBpaYkOHTogPDwcXl5eAAons75y5YrSPicnB++//z7+/PNPqNVqtG3bFtu3b39qnyhb1fzNzMwQGRkJf39/dO3aFdbW1hg2bBg+++wzXaXwWKqaP1B4rgsNDcWyZct0EXK1qmr+fn5+yMzMxIoVK/Dee++hbt266N+//1N7dWxV88/Pz8fixYuRlJQEQ0ND9OvXD4cPH4aTk5OOMqhZxfNv2rQpduzYgXfffRdfffUV7O3t8eWXX+Jf//qXDqOsOaX9/BddGQ4AsbGx2LhxIxwdHXHp0iUtR1fziuf/9ddfIy8vD5MmTcKkSZOU9UU1oa6o5Fm5TpOIiIiIiIiIiJ4aT9eNs0RERERERERE9EzgoBQREREREREREWkdB6WIiIiIiIiIiEjrOChFRERERERERERax0EpIiIiIiIiIiLSOg5KERERERERERGR1nFQioiIiIiIiIiItI6DUkREREREREREpHUclCKip9batWtRt25dXYehYevWrWjRogX09fURGBio63AIgEqlwtatW6t9v5cuXYJKpUJ8fHy175uIiOhxREVFQaVS4datW7oORXHo0CG0b98ehoaGGDp0qK7DIQBOTk5YunRpjey7puovevYY6DoAIiqkUqkQFhbGk/RTbvz48Rg9ejQmT54Mc3NzXYdDANLS0lCvXj1dh0FERFSrTZkyBR07dsTOnTthZmam63AIQHR0NExNTXUdBtVyvFKKSAtycnJ0HQJVQW5u7iO9LisrC9evX4e3tzfs7e05KFUGbf882NrawtjYuMztj3q8iYjoyZafn4+CggJdh/FMeZxz+IULF9C/f380btz4ibvS/Umh7ZqkQYMGqFOnTpnbWSORNnBQimq9bdu2oW7dukrREh8fD5VKhalTpyptxo8fj3//+9/KcmhoKNq2bQtjY2M4OTlh8eLFGvt0cnLCZ599Bj8/P1haWmLcuHHIycnBO++8Azs7O5iYmMDJyQnz5s1T2gPAyy+/DJVKpSyX5dtvv1X6t7OzwzvvvKNsW7JkCdq3bw9TU1M4ODhg4sSJyMrKUrZfvnwZQ4YMQb169WBqaoq2bdtix44dyvaEhAQMHjwYZmZmsLGxwciRI3Hjxo0yYym6hW7Xrl1o3bo1zMzM8PzzzyMtLU1p07dv3xK3sg0dOhR+fn4l3rNRo0bBzMwMjo6O+OWXX/DPP//Ax8cHZmZmaN++PWJiYkrEsHXrVrRq1QomJibw8vLC1atXNbZv27YNXbp0gYmJCZo1a4bZs2cjLy9P2a5SqbB69Wr4+PjA1NQUn332Wam5ZmRkYNSoUahXrx7q1KmDQYMG4fz58wAKL5MvGoTq378/VCoVoqKiSt3PuXPn0KtXL5iYmKBNmzbYvXu3xiXOpV1yX/S5vHTpkrLu8OHD6NOnD9RqNRwcHDB58mTcvXtX2b5y5Uq0bNkSJiYmsLGxwauvvqps27JlC9q3bw+1Wg1ra2t4enpqvDYkJAStW7eGiYkJXFxcsHLlSmVbeZ/l0vj5+WHo0KGYN28e7O3t0apVKwDAn3/+iddffx316tWDtbU1fHx8NPLLz8/HlClTULduXVhbW2PatGnw9fXVuJqwtMvOO3bsiKCgIGX54fe26Ja7H3/8EX379oWJiQm+//77CnMGgOPHj6NTp04wMTFB165dceLEiTJzJiIiTeHh4ejVq5fyO/3FF1/EhQsXlO1ubm748MMPNV7zzz//wNDQEHv37gVQeP6ZNm0aGjVqBFNTU3Tv3l3jXFtUk/z2229o06YNjI2NcfnyZURHR8PLywv169eHpaUlPDw8EBcXp9FXRedmoOLzVnFF5/M9e/aga9euqFOnDnr27ImkpCSlTdE58mGBgYHo27evsty3b1/4+/sjMDAQ9erVg42NDdasWYO7d+9i9OjRMDc3R/PmzbFz584SMRw6dAiurq4wMTFB9+7dcfr0aY3tFdUSpdW0pcnOzsbkyZPRsGFDmJiYoFevXoiOjgbwv3Nveno6xowZA5VKhbVr15a6n7S0NLzwwgtQq9Vo2rQpNm7cqHGuL+3W+Vu3bpWouyqqZ8urg6KiotCtWzeYmpqibt26cHd3x+XLl5XXVlRXBgUFoUmTJjA2Noa9vT0mT55caq5FbTt27Ihvv/0WzZo1g7GxMUQEt2/fxltvvYWGDRvCwsIC/fv3x8mTJzVeO3/+fNjY2MDc3Bxjx47Fhx9+iI4dOyrbK1t/P1xHlVUTV5Tz+fPn0adPH+XnJzIyssyciUoQolru1q1boqenJzExMSIisnTpUqlfv74899xzSptWrVrJqlWrREQkJiZG9PT05NNPP5WkpCQJCQkRtVotISEhSntHR0exsLCQRYsWyfnz5+X8+fOyaNEicXBwkP3798ulS5fkwIEDsnHjRhERuX79ugCQkJAQSUtLk+vXr5cZ78qVK8XExESWLl0qSUlJcvz4cfniiy+U7V988YX8/vvvcvHiRdmzZ484OzvL22+/rWx/4YUXxMvLS06dOiUXLlyQbdu2yb59+0RE5K+//pL69evL9OnTJTExUeLi4sTLy0v69etXZjwhISFiaGgonp6eEh0dLbGxsdK6dWsZPny40sbDw0MCAgI0Xufj4yO+vr4a75mVlZWsXr1akpOT5e233xZzc3N5/vnn5ccff5SkpCQZOnSotG7dWgoKCjT67tq1qxw+fFhiYmKkW7du0rNnT2W/4eHhYmFhIWvXrpULFy5IRESEODk5SVBQkNIGgDRs2FCCg4PlwoULcunSpVJzfemll6R169ayf/9+iY+PF29vb2nRooXk5ORIdna2JCUlCQAJDQ2VtLQ0yc7OLrGP/Px8cXZ2Fi8vL4mPj5cDBw5It27dBICEhYWJiMjevXsFgGRkZCivO3HihACQ1NRUERE5deqUmJmZyRdffCHJycly6NAh6dSpk/j5+YmISHR0tOjr68vGjRvl0qVLEhcXJ8uWLVOOs4GBgSxZskRSU1Pl1KlT8tVXX0lmZqaIiKxZs0bs7OwkNDRULl68KKGhoWJlZSVr164VESn3s1waX19fMTMzk5EjR8qZM2fk9OnTcvfuXWnZsqWMGTNGTp06JQkJCTJ8+HBxdnZW3rcFCxaIpaWlbNmyRRISEmTs2LFibm4uPj4+Gp+bhz//IiKurq4ya9YsjeNb9N6mpqYKAHFyclLy+/PPPyvMOSsrSxo0aCCvv/66nDlzRrZt2ybNmjUTAHLixIkycyciokJbtmyR0NBQSU5OlhMnTsiQIUOkffv2kp+fLyIiy5cvlyZNmijn+KJ1jRo1UtoMHz5cevbsKfv375eUlBRZtGiRGBsbS3Jysoj8ry7o2bOnHDp0SM6dOydZWVmyZ88eWb9+vSQkJCjnExsbG7lz546IVO7cXJnzVnFF5/Pu3btLVFSUnD17Vnr37q1Rp/j6+mqc10REAgICxMPDQ1n28PAQc3NzmTNnjiQnJ8ucOXNET09PBg0aJGvWrFHqJmtra7l7965G361bt5aIiAg5deqUvPjii+Lk5CQ5OTkiUnEtIVJ6TVuayZMni729vezYsUPOnj0rvr6+Uq9ePUlPT5e8vDxJS0sTCwsLWbp0qaSlpcm9e/dK3Y+np6d07NhRjh49KrGxseLh4SFqtVo51xedxx8+92ZkZAgA2bt3r4hUXM+WVwfl5uaKpaWlvP/++5KSkiIJCQmydu1auXz5sohUXFf+9NNPYmFhITt27JDLly/LsWPHZM2aNaXmKiIya9YsMTU1FW9vb4mLi5OTJ09KQUGBuLu7y5AhQyQ6OlqSk5PlvffeE2tra0lPTxcRkR9++EGMjIzkm2++kXPnzsmMGTPE3NxcXF1dNT43lam/H66jSquJK8o5Pz9f2rVrJ3379pUTJ07Ivn37pFOnTho/P0Tl4aAUkYh07txZ/vOf/4iIyNChQ+Xzzz8XIyMjuXPnjqSlpQkASUxMFJHCgsjLy0vj9VOnTpU2bdooy46OjjJ06FCNNv7+/tK/f3+NYuthlf3FbW9vLzNmzKh0bj/++KNYW1sry+3bt9cYkHnYJ598IgMHDtRYd/XqVQEgSUlJpb4mJCREAEhKSoqy7quvvhIbGxtlubInxTfeeENZLnrfP/nkE2XdkSNHBICkpaVp9H306FGlTWJiogCQY8eOiYhI7969Ze7cuRp9r1+/Xuzs7JRlABIYGFhqfkWSk5MFgBw6dEhZd+PGDVGr1fLjjz+KSMmiqDQ7d+4UAwMDJQcRkcjIyCoPSo0cOVLeeustjX0fOHBA9PT05P79+xIaGioWFhZKwf2w2NhYAVDm4JuDg0OJQaY5c+aIm5ubiFT8WS7O19dXbGxsNIr24OBgcXZ21thHdna2qNVq2bVrl4iI2NnZyfz585Xtubm50rhx42oZlFq6dGmVcv7666/FyspKKfZFRFatWsVBKSKiR1T0hdzp06eVZQMDA9m/f7/Sxs3NTaZOnSoiIikpKaJSqeTPP//U2M+AAQNk+vTpIvK/uiA+Pr7cvvPy8sTc3Fy2bdsmIpU7N1fmvFVc0fl89+7dyrrt27cLALl//76IVH5QqlevXhrxm5qaysiRI5V1RXXTkSNHNPrevHmz0iY9PV3UarX88MMPIlJxLSFSek1bXFZWlhgaGsqGDRuUdTk5OWJvby8LFy5U1llaWmp8iVtcUQ0XHR2trDt//rwAqNKgVEX1bHl1UHp6ugCQqKioUmOsqK5cvHixtGrVShn4q8isWbPE0NBQ4wvpPXv2iIWFhTx48ECjbfPmzeXrr78WkcKfjQkTJmhs7969e7UMShWviSvKedeuXaKvry9Xr15Vtu/cuZODUlRpvH2PCIWXt0ZFRUFEcODAAfj4+KBdu3Y4ePAg9u7dCxsbG7i4uAAAEhMT4e7urvF6d3d3nD9/Hvn5+cq6rl27arTx8/NDfHw8nJ2dMXnyZERERJQb05UrV2BmZqb8mzt3Lq5fv46//voLAwYMKPN1e/fuhZeXFxo1agRzc3OMGjUK6enpyiXJkydPxmeffQZ3d3fMmjULp06dUl4bGxuLvXv3avRblPfDl9gXV6dOHTRv3lxZtrOzw/Xr18vNrzQdOnRQ/m9jYwMAaN++fYl1D+/bwMBA4712cXFB3bp1kZiYqOT06aefauQ0btw4pKWl4d69e8rrih+v4hITE2FgYIDu3bsr66ytreHs7Kz0VRlJSUlwcHCAra2tsq5bt26Vfn2R2NhYrF27ViMvb29vFBQUIDU1FV5eXnB0dESzZs0wcuRIbNiwQcnX1dUVAwYMQPv27fHaa6/hm2++QUZGBoDCWyWuXr2KsWPHauz7s88+Uz4DVf0sA4XH0cjISCP+lJQUmJubK31YWVnhwYMHuHDhAm7fvo20tDS4ubkpryl+rB/Hw/upTM6JiYlwdXXVmHfh4diIiKh8Fy5cwPDhw9GsWTNYWFigadOmAArrHaBwbhsvLy9s2LABAJCamoojR45gxIgRAIC4uDiICFq1aqXxu3rfvn0aNYqRkZFGPQEU1g0TJkxAq1atYGlpCUtLS2RlZSl9V+bcXNF5qzwPx2NnZ6fEVBUP70NfXx/W1tYV1kiA5rnKyspKo26pqJYoUtG598KFC8jNzdWojw0NDdGtW7cq10gGBgbo3Lmzsq5FixZVflhJRfVseXWQlZUV/Pz84O3tjSFDhmDZsmUaU1JUVFe+9tpruH//Ppo1a4Zx48YhLCxM4za30jg6OqJBgwYafWRlZcHa2lqjn9TUVI26pHgdUl11SfHjXVHOiYmJaNKkCRo3blztsVDtwKfvEaFwUCo4OBgnT56Enp4e2rRpAw8PD+zbtw8ZGRnw8PBQ2ooIVCqVxutFpMQ+iz/JonPnzkhNTcXOnTuxe/duDBs2DJ6entiyZUupMdnb22vcL29lZQVDQ8Ny87h8+TIGDx6MCRMmYM6cObCyssLBgwcxduxYZaLCN998E97e3ti+fTsiIiIwb948LF68GP7+/igoKMCQIUOwYMGCEvsuKqJKUzwulUql8Z7o6emVeI9Kmzjx4f0UvcelrSs+aWnx41G87ezZs/HKK6+UaGNiYqL8v6Inj5R2jIvWl9Z/efupqL2enl6JPou/XwUFBRg/fnyp8xQ0adIERkZGiIuLQ1RUFCIiIjBz5kwEBQUhOjoadevWRWRkJA4fPoyIiAgsX74cM2bMwLFjx5RBl2+++UZjAA4oLIKBqn+WgZLvb0FBAbp06aL88fGwhwuzilT2s1VePEWfp/JyLuv4ExFR5QwZMgQODg745ptvYG9vj4KCArRr105j4uwRI0YgICAAy5cvx8aNG9G2bVu4uroCKPxdra+vj9jYWOV3c5GHn+SmVqtLnGf9/Pzwzz//YOnSpXB0dISxsTHc3NyUvitzbn6c81Z5tcyj1EhF+6lMjVSah9uWV0sUqWyNVFp9XNUaqaL1la2Ryqtn9fX1y6yDmjZtipCQEEyePBnh4eH44Ycf8PHHHyMyMhI9evSosK50cHBAUlISIiMjsXv3bkycOBGLFi3Cvn37yqzjS6uR7OzsSp2btCoTxFdHjVQUT3k5l3bcqnLciTgoRQSgT58+yMzMxNKlS+Hh4QGVSgUPDw/MmzcPGRkZCAgIUNq2adMGBw8e1Hj94cOH0apVqxJFUnEWFhZ4/fXX8frrr+PVV1/F888/j5s3byoDTg9faWVgYIAWLVqU2IeTkxP27NmDfv36ldgWExODvLw8LF68WDlp//jjjyXaOTg4YMKECZgwYQKmT5+Ob775Bv7+/ujcuTNCQ0Ph5OQEA4Pq+/XQoEEDjW+Z8vPzcebMmVJzqKq8vDzExMQo32gmJSXh1q1byjdinTt3RlJSUqnvZVW0adMGeXl5OHbsGHr27AkASE9PR3JyMlq3bl3p/bi4uODKlSv4+++/lW81iyYCLVJU3KalpSnfDj48QAkU5nX27Nly8zIwMICnpyc8PT0xa9Ys1K1bF7///jteeeUVqFQquLu7w93dHTNnzoSjoyPCwsIwZcoUNGrUCBcvXlS+nS5NeZ/lyujcuTN++OEHZQLP0tjZ2eHo0aPo06cPgMJjHRsbq/ENavHP1p07dzS+3a0MGxubCnNu06YN1q9fj/v370OtVgMAjh49WqV+iIhqq/T0dCQmJuLrr79G7969AaBELQUUTsI8fvx4hIeHY+PGjRg5cqSyrVOnTsjPz8f169eVfVTWgQMHsHLlSgwePBgAcPXqVY1Jrytzbq7MeetRNGjQAGfOnNFYFx8fX+EXkZV19OhRZYApIyMDycnJGjVSRbVEZbRo0QJGRkY4ePAghg8fDqBw8CMmJqbERNvlcXFxQV5eHk6cOIEuXboAAFJSUjQe/PJwjdSpUycApddIFdWz5dVBQOHnrVOnTpg+fTrc3NywceNG9OjRo1J1pVqtxksvvYSXXnoJkyZNgouLC06fPq1Rv5Snc+fOuHbtGgwMDMp8+FHr1q1x9OhRjBo1SllXvC6prvq7opzbtGmDK1eu4K+//oK9vT0A4MiRI1Xqg2o33r5HBMDS0hIdO3bE999/rzztpE+fPoiLi0NycrLGE1Dee+897NmzB3PmzEFycjK+++47rFixAu+//365fXzxxRfYvHkzzp07h+TkZPz000+wtbVVvvEoGmy6du2acglxaYKCgrB48WJ8+eWXOH/+POLi4rB8+XIAQPPmzZGXl4fly5fj4sWLWL9+PVavXq3x+sDAQOzatQupqamIi4vD77//rgyqTJo0CTdv3sS///1vHD9+HBcvXkRERATGjBmjMWBWVf3798f27duxfft2nDt3DhMnTtQoMB6HoaEh/P39cezYMcTFxWH06NHo0aOHMkg1c+ZMrFu3DkFBQTh79iwSExOVb72qomXLlvDx8cG4ceNw8OBBnDx5Em+88QYaNWoEHx+fSu/Hy8sLzZs3h6+vL06dOoVDhw5hxowZAP73rVKLFi3g4OCAoKAgJCcnY/v27SWe8PjBBx/gyJEjmDRpEuLj43H+/Hn8+uuv8Pf3BwD89ttv+PLLLxEfH4/Lly9j3bp1KCgogLOzM44dO4a5c+ciJiYGV65cwc8//4x//vlH+RwEBQVh3rx5WLZsGZKTk3H69GmEhIRgyZIlACr+LFfGiBEjUL9+ffj4+ODAgQNITU3Fvn37EBAQgD/++AMAEBAQgPnz5yMsLKzMz03//v2xfv16HDhwAGfOnIGvr2+Fg8OlqSjn4cOHQ09PD2PHjkVCQgJ27NiB//znP1Xuh4ioNip6Wt2aNWuQkpKC33//Xfnj/2Gmpqbw8fHBJ598gsTERGWAAwBatWqFESNGYNSoUfj555+RmpqK6OhoLFiwQOMpwqVp0aIF1q9fj8TERBw7dgwjRoxQvmAAKndursx561H0798fMTExWLduHc6fP49Zs2aVGKR6HJ9++in27NmDM2fOwM/PD/Xr11ee9ldRLVFZpqamePvttzF16lSEh4cjISEB48aNw7179zB27NhK78fFxQWenp546623cPz4cZw4cQJvvfWWxtVvarUaPXr0wPz585GQkID9+/eXqOkqqmfLq4NSU1Mxffp0HDlyBJcvX0ZERITGF5AV1ZVr165FcHAwzpw5o9TiarUajo6OlX4fPD094ebmhqFDh2LXrl24dOkSDh8+jI8//lh5CnVAQAC+/fZbfPvtt0hOTsasWbNw9uxZjf1UV/1dUc6enp5wdnbGqFGjcPLkSRw4cED5+SGqFK3OYEX0BHvvvfcEgJw5c0ZZ5+rqKg0aNCgxofOWLVukTZs2YmhoKE2aNJFFixZpbC9t8uU1a9ZIx44dxdTUVCwsLGTAgAESFxenbP/111+lRYsWYmBgII6OjuXGunr1anF2dhZDQ0Oxs7MTf39/ZduSJUvEzs5O1Gq1eHt7y7p16zQmzX7nnXekefPmYmxsLA0aNJCRI0fKjRs3lNcnJyfLyy+/LHXr1hW1Wi0uLi4SGBhY5qTWISEhYmlpqbEuLCxMHv71kpOTI2+//bZYWVlJw4YNZd68eRVOtChScvL34pNbFvUdGhoqzZo1EyMjI+nfv3+JiSvDw8OlZ8+eolarxcLCQrp166bxJJTi/ZTl5s2bMnLkSLG0tFTe36In/ohUbqJzkcKJPN3d3cXIyEhcXFxk27ZtAkDCw8OVNgcPHpT27duLiYmJ9O7dW3766SeNic5FRI4fPy5eXl5iZmYmpqam0qFDB/n8889FpHCiUg8PD6lXr56o1Wrp0KGDMrFpQkKCeHt7S4MGDcTY2FhatWoly5cv14hxw4YN0rFjRzEyMpJ69epJnz595OeffxaRij/LxZU2iatI4aSso0aNkvr164uxsbE0a9ZMxo0bJ7dv3xaRwonNAwICxMLCQurWrStTpkyRUaNGaezr9u3bMmzYMLGwsBAHBwdZu3ZtpSY6L21y8vJyFimcaN/V1VWMjIykY8eOEhoayonOiYgqKTIyUlq3bi3GxsbSoUMHiYqKKvX8WzQReJ8+fUrsIycnR2bOnClOTk5iaGgotra28vLLL8upU6dEpPSaREQkLi5OunbtKsbGxtKyZUv56aefStQdlTk3V3TeKq4yDy4REZk5c6bY2NiIpaWlvPvuu/LOO++UmOi8+ITVFdVNRX1v27ZN2rZtK0ZGRvLcc8+VmAS+vFqirH5Kc//+ffH391feG3d3dzl+/LhGm4omOhcpfDLeoEGDxNjYWBwdHWXjxo3SsGFDWb16tdImISFBevToIWq1Wjp27CgREREl6q/y6tny6qBr167J0KFDxc7OToyMjMTR0VFmzpypPAFSpPy6MiwsTLp37y4WFhZiamoqPXr00JjovrhZs2ZpTE5e5M6dO+Lv7y/29vZiaGgoDg4OMmLECLly5YrS5vPPP5f69euLmZmZ+Pr6yrRp0zT29Sj1d1k1cUW1dFJSkvTq1UuMjIykVatWEh4ezonOqdJUIpwog4hIlw4dOoRevXohJSVFY8J4KsnPzw+3bt3C1q1bdR0KERE9w3hufjL88ccfcHBwwO7du8t90A8VXvW9devWErczEj3pOKcUEZGWhYWFwczMDC1btkRKSgoCAgLg7u7OopeIiEhHeG5+Mvz+++/IyspC+/btkZaWhmnTpsHJyUmZX5KInj0clCIi0rLMzExMmzYNV69eRf369eHp6VlizigiIiLSHp6bnwy5ubn46KOPcPHiRZibm6Nnz57YsGFDtU38TkRPHt6+R0REREREREREWsen7xERERERERERkdZxUIqIiIiIiIiIiLSOg1JERERERERERKR1HJQiIiIiIiIiIiKt46AUERERERERERFpHQeliIiIiIiIiIhI6zgoRUREREREREREWsdBKSIiIiIiIiIi0joOShERERERERERkdb9f+V1FL3C9zYJAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n",
      "[\"humph\", \"focal\", \"crust\", \"whelp\", \"trawl\", \"belly\", \"salad\", \"spray\", \"spend\", \"thumb\"]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[\"token\", \"ankle\", \"ladle\", \"ditch\", \"angel\", \"coven\", \"liken\", \"yacht\", \"clone\", \"bigot\", \"judge\"]\n",
      "[3.527934170636639, 3.533564313555652, 3.534430489389346, 3.542226071892594, 3.54439151147683]\n",
      "[\"slate\", \"trace\", \"least\", \"crate\", \"crane\", \"slant\", \"stale\", \"leant\", \"train\", \"trice\"]\n"
     ]
    }
   ],
   "source": [
    "figure(figsize=(12,4))\n",
    "subplot(1,2,1)\n",
    "mxs = [solnstats_hard[i][3] for i in SOLUTION_WORD_IDXS]\n",
    "maxes = countmap(mxs)\n",
    "k = collect(keys(maxes))\n",
    "v = collect(values(maxes))\n",
    "bar( k,v, zorder=2  )\n",
    "xticks(k)\n",
    "yticks(0:200:2200)\n",
    "xlabel(\"worst-case number of guesses required\")\n",
    "ylabel(\"common guess words\")\n",
    "title(\"distribution of the worst-case number of guesses (Hard mode)\")\n",
    "grid(zorder=1)\n",
    "for i in 1:length(k)\n",
    "    text(k[i],250, v[i], horizontalalignment = \"center\")\n",
    "end\n",
    "\n",
    "ix = sortperm(mxs)\n",
    "mm = 10\n",
    "println(mxs[ix[1:mm]])\n",
    "println(SOLUTION_WORDS[ix[1:mm]])\n",
    "println(mxs[ix[end-mm:end]])\n",
    "println(SOLUTION_WORDS[ix[end-mm:end]])\n",
    "\n",
    "subplot(1,2,2)\n",
    "avgs = [solnstats_hard[i][2] for i in SOLUTION_WORD_IDXS]\n",
    "hist( avgs, bins=3.35:0.05:4.15, zorder=2 );\n",
    "grid(zorder=1)\n",
    "xlabel(\"average number of guesses required\")\n",
    "ylabel(\"common guess words\")\n",
    "title(\"distribution of the average number of guesses (Hard mode)\")\n",
    "xticks(3.45:0.05:4.25, [\"\",3.5,\"\",3.6,\"\",3.7,\"\",3.8,\"\",3.9,\"\",4.0,\"\",4.1,\"\",4.2,\"\"])\n",
    "xlim([3.45,4.25])\n",
    "ylim([0,600])\n",
    "\n",
    "ix = sortperm(avgs)\n",
    "println(avgs[ix[1:5]])\n",
    "println(SOLUTION_WORDS[ix[1:10]])\n",
    "\n",
    "tight_layout(w_pad=2)\n",
    "savefig(\"figures/common_word_strat_comparison_hard.png\", dpi=400)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d734f041-6c63-450e-b623-14a8c107e8b9",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "606a8ba4-3508-4fa7-9914-461bfaad1834",
   "metadata": {},
   "source": [
    "## Additional plots for blog post"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6d48a7e8-b738-4f72-bcb8-c21dd91d6035",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 800x350 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(8,3.5))\n",
    "wlist = [\"adieu\", \"stump\", \"scamp\", \"soare\", \"raise\", \"crane\", \"trace\"]\n",
    "for w in wlist\n",
    "    g = sort!(get_group_sizes(w,SOLUTION_WORDS))\n",
    "    bar(1:length(g), g, label=uppercase(w), width=1, alpha=0.7, zorder=4, log=true)\n",
    "end\n",
    "xlim([0,160])\n",
    "xlabel(\"response (split index)\")\n",
    "ylabel(\"number of words\")\n",
    "grid(zorder=2)\n",
    "legend()\n",
    "title(\"Distribution of solution words for different initial guesses\")\n",
    "tight_layout()\n",
    "savefig(\"figures/word_pdf.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "db131dd4-d2b6-4a7b-b561-2c6c6ae696c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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13M3NTb169dJff/2V6luo7lS3bl3t27dPgwYN0k8//ZRocGB6HdcRoaGhun79eqJbX0qUKKEWLVpo/fr1NuUWi0UdO3a0Katateo9bxfw8fFR/fr1tW7dOklSSEiI8uTJo1GjRunWrVvatm2bpH97L+68XWHDhg0KCgpS3bp1bfbXt29fGWMSDfjs1KmT3N3drctXr15VWFiYunTpIi8vL2t5Qu/QnerUqSNJeuKJJ/TNN9/o9OnTKZ7Tnfbs2aNOnTopf/78cnNzk7u7u3r37q24uDgdOXIk1fu5040bN7R+/Xp17txZPj4+un37tvWvffv2unHjhnbu3GmzjT3v83tJ6r1148YN66x1K1eulMViUc+ePW1iK1KkiKpVq5bm2ayKFCmS6PVOTRuz14YNG9SqVSv5+/tbX7M33nhD0dHRSc7Ml5LNmzdL+rft3Klr165pHtPy008/6fbt2+rdu7fN9fXy8lLTpk2t1zdfvnwqW7aspkyZovfff1979uyxuQ1ISv33yJw5c3T79m0FBgbeM77XX39dERERmjt3rp599lnlypVLs2bNUq1atfTVV1+l6Zwd0a9fP61YsULR0dGaM2eOmjdvnuLtqtK/bc3d3V158+ZVz549VbNmTa1Zs8bmswL3F5IK3LeuXr2q6OhoFStWLNl1ypYtq3Xr1qlQoUIKDg5W2bJlVbZs2UT36d+LPTOsFClSJNmy9O7mjo6OTjLWhGt09/Hz589vs5wwKPf69evJHuPChQsyxth1nNR45ZVX9N5772nnzp1q166d8ufPr5YtW2rXrl3pelxHpHRvdLFixRLF4+Pjk+gL19PTUzdu3LjnsVq1aqWdO3fq6tWrWrdunVq0aKH8+fOrVq1aWrdunU6cOKETJ07YJBX2toe7171w4YLi4+NTbNMJmjRpouXLl1t/yBUvXlyVK1e+5w+kiIgINW7cWKdPn9aHH36orVu3KiwszDruIaW2mJLo6Gjdvn1bH3/8sdzd3W3+2rdvLynxIG9nzup1r/fW2bNnZYxR4cKFE8W3c+fONA9Av/u4CcdO63VMyi+//KI2bdpIkj777DNt375dYWFhGjNmjCT7X7OEdpgw4UaCnDlzJnk+qZFw+1idOnUSXd8lS5ZYr6/FYtH69evVtm1bTZ48WTVr1lTBggU1dOhQXb58WZLzvkfuVrhwYT399NOaNWuW9u/fr82bN8vDw0PDhg2ze18JyVdyt67evn07xQSta9eu8vLy0gcffKAffvjBeqthStatW6ewsDDt3btX//zzj7Zt28ag/vtc5py2AnCCVatWKS4u7p5TOjZu3FiNGzdWXFycdu3apY8//ljDhw9X4cKF9eSTT6bqWPZMj3fmzJlkyxK+IBN+WN49QNfRmWzy58+vyMjIROV///23JFln6nBE3rx5lSNHDqcfJ2fOnBo5cqRGjhypixcvat26dXr11VfVtm1bnTp1yuHjenl5JRooKzl2zRNez+Ricsb1TtCyZUu9/vrr2rJli9avX6+xY8day9euXavSpUtbl++Mz57rdXc7z5s3rywWS4pt+k6PPPKIHnnkEd28eVM7d+7UxIkT1aNHD5UqVcp6H/ndli9frqtXr2rp0qU2/8J75yDZtMibN6+1Fys4ODjJdRKuWYKMnAazQIECslgs2rp1a5IzbGWmWbfu9vXXX8vd3V0rV660SZLT+gyahPfR2bNnFRAQYC2/fft2osT3zs/OO6/R3e/jhLb93Xff3bPnIDAwUHPmzJEkHTlyRN98843GjRunW7duWcfQOeN75F6aNGmiNm3aaPny5YqKikpyTE9yEhKy5HoIT58+nShpu5OPj4+efPJJTZw4UX5+furSpcs9j1mtWjWnfsYh86OnAveliIgIvfjii/L397cZzJkSNzc31atXz/ovoAm3IqXmX+ftcfDgQe3bt8+mbPHixcqdO7d14GNCt3LCQ44SrFixItH+7PlXxpYtW2rDhg3WH40JvvjiC/n4+DhlKkJfX1/Vq1dPS5cutYkrPj5eixYtUvHixVW+fHmHjpEnTx517dpVwcHBOn/+vE6ePOnwcUuVKqUjR47YJHLR0dHasWOHzXr2tIf69evL29s70SDYv/76y3ormrPUrVtXfn5+mjZtms6cOaPWrVtL+rcHY8+ePfrmm28UFBRk03PXsmVLHTp0KNFtdwkPtbp7Osu7+fr6qm7dulq6dKlNb8rly5f1ww8/JLudp6enmjZtah2AfvdsO3dK+CF/5w9EY0yy01gmdSwp8evl4+Oj5s2ba8+ePapatapq166d6C+t/wrujM+M//znPzLG6PTp00nGVqVKlTTvOy3sOaeEqXbd3NysZdevX9fChQvTdOwmTZpIUqLJFr777rtEA/2T++y8uz22bdtWOXPm1PHjx5O8vndOU36n8uXL67XXXlOVKlWSvF01ue8Re5w9ezbRLVbSv70MR48elY+PT6JnhdxLuXLlFBgYqG+//TbRbcHnzp3Txo0b7zmT0/PPP6+OHTvqjTfe4BYmJImeCmR5Bw4csN4PGxUVpa1bt2revHlyc3PTsmXLUpxpYtasWdqwYYM6dOigkiVL6saNG5o7d64kWT9gc+fOrcDAQH3//fdq2bKl8uXLpwIFCtzzftLkFCtWTJ06ddK4ceNUtGhRLVq0SCEhIXr33Xfl4+Mj6d8u+QoVKujFF1/U7du3lTdvXi1btsx6b/ydqlSpoqVLl2rmzJmqVauWcuTIkewX4tixY7Vy5Uo1b95cb7zxhvLly6cvv/xSq1at0uTJk+Xv75+mc7rbxIkT1bp1azVv3lwvvviiPDw8NGPGDB04cEBfffVVmv7Ft2PHjtZnkhQsWFB//vmnpk2bpsDAQJUrV87h4/bq1UuffvqpevbsqYEDByo6OlqTJ0+Wn5+fzXr2tIc8efLo9ddf16uvvqrevXure/fuio6O1vjx4+Xl5WXtTXAGNzc3NW3aVD/88INKly5tndq4YcOG8vT01Pr16zV06FCbbUaMGKEvvvhCHTp00IQJExQYGKhVq1ZpxowZev7551OV/L355pt6+OGH1bp1a73wwguKi4vTu+++K19fX50/f9663htvvKG//vpLLVu2VPHixXXx4kV9+OGHcnd3V9OmTZPdf+vWreXh4aHu3bvrpZde0o0bNzRz5kxduHAhVdclpdfrww8/VKNGjdS4cWM9//zzKlWqlC5fvqxjx47phx9+SDSmJLWc8ZnRsGFDPfPMM3r66ae1a9cuNWnSRL6+voqMjNS2bdtUpUoVPf/882mKLy0SkpgPP/xQffr0kbu7uypUqKDcuXMnWrdDhw56//331aNHDz3zzDOKjo7We++9l+belUqVKql79+6aOnWq3Nzc1KJFCx08eFBTp06Vv7+/zQxE7du3V758+dS/f39NmDBBOXPm1Pz583Xq1CmbfZYqVUoTJkzQmDFj9Mcff+jhhx9W3rx5dfbsWf3yyy/y9fXV+PHjtX//fg0ePFiPP/64ypUrJw8PD23YsEH79+/X6NGjJaXue0T6dzawBQsW6Pjx4yn2jixcuFCffvqpevTooTp16sjf319//fWXPv/8cx08eFBvvPGGPDw87L6O7733np544gm1bNlSAwcOVJEiRXT06FFNmjRJHh4eKc5iJ/07diStvU3IJlw3RhxwTMJsHgl/Hh4eplChQqZp06bmnXfeMVFRUYm2uXtmkNDQUNO5c2cTGBhoPD09Tf78+U3Tpk3NihUrbLZbt26dqVGjhvH09LSZbSSp2WaSO5Yx/z+bxnfffWcqVapkPDw8TKlSpcz777+faPsjR46YNm3aGD8/P1OwYEEzZMgQs2rVqkQzbZw/f9507drV5MmTx1gsFptjKokZaH799VfTsWNH4+/vbzw8PEy1atVsZnkxJvmZQpKaFSY5W7duNS1atDC+vr7G29vbPPTQQ+aHH35Icn+pmf1p6tSppkGDBqZAgQLGw8PDlCxZ0vTv3z/RTCqpOW5Ssz8ZY8yCBQvMgw8+aLy8vExQUJBZsmRJotmfjEm+PSQ3a9fnn39uqlatajw8PIy/v7955JFHzMGDB23WSW7mluRms0nKhx9+aCSZgQMH2pS3bt3aSErUro0x5s8//zQ9evQw+fPnN+7u7qZChQpmypQpJi4uzrrOvV6nFStWWM+vZMmSZtKkSYniXrlypWnXrp0JCAiwvlfbt29vtm7des/z+uGHH0y1atWMl5eXCQgIMKNGjTI//vhjsrPO3P1+TO71Sji3fv36mYCAAOPu7m4KFixoGjRoYN566y3rOveaOScp9n5mJNd25s6da+rVq2dtz2XLljW9e/c2u3btSvH4yc3+VKlSpUTr3t3Gk3ufv/LKK6ZYsWImR44cNtc+qRmc5s6daypUqGA8PT1NmTJlzMSJE82cOXOSjOlesz8ZY8yNGzfMyJEjTaFChYyXl5d56KGHTGhoqPH39zcjRoywWfeXX34xDRo0ML6+viYgIMCMHTvWfP7550le3+XLl5vmzZsbPz8/4+npaQIDA03Xrl3NunXrjDHGnD171vTt29dUrFjR+Pr6mly5cpmqVauaDz74wNy+fdsYk/rvkYQZ3pKaQetOhw4dMi+88IKpXbu2KViwoMmZM6fJmzevadq0qVm4cGGy26U0+1OCdevWmTZt2pg8efKYnDlzmqJFi5qePXuao0ePJlr3ztmfkpPS7E9JfS/i/mYxJo1PogEAAHCRhCczf/nll+rRo4erwwGyPZIKAACQqYWEhCg0NFS1atWSt7e39u3bp0mTJsnf31/79+/nHn8gE8jyYyouX76sFi1aKDY2VnFxcRo6dKgGDhzo6rAAAICT+Pn5ae3atZo2bZouX76sAgUKqF27dpo4cSIJBZBJZPmeiri4ON28eVM+Pj66du2aKleurLCwsDTP2gEAAADAPll+Slk3NzfrjDk3btxQXFzcPZ+iDAAAAMB5XJ5UbNmyRR07dlSxYsVksViSnK5sxowZKl26tLy8vFSrVi1t3brVpv7ixYuqVq2aihcvrpdeeomHrQAAAAAZyOVJxdWrV1WtWjV98sknSdYvWbJEw4cP15gxY7Rnzx41btxY7dq1U0REhHWdPHnyaN++fTpx4oQWL16ss2fPZlT4AAAAQLaXqcZUWCwWLVu2TI8++qi1rF69eqpZs6ZmzpxpLXvwwQf16KOPauLEiYn28fzzz6tFixZ6/PHHU3XM+Ph4/f3338qdO3eaHsgFAAAA3K+MMbp8+bKKFStm87DJu2Xq2Z9u3bql8PBw61MrE7Rp00Y7duyQ9O/j7L29veXn56eYmBht2bIlxaeM3rx5Uzdv3rQunz59WkFBQelzAgAAAMB94NSpUypevHiy9Zk6qfjnn38UFxenwoUL25QXLlxYZ86ckST99ddf6t+/v4wxMsZo8ODBqlq1arL7nDhxosaPH5+o/PPPP7cO+AYAAAAgXbt2TQMGDFDu3LlTXC9TJxUJ7r4tyRhjLatVq5b27t2b6n298sorGjlypHU5JiZGJUqUUIcOHZiGFhkiNjZWISEhat26tdzd3V0dDrIB2hwyGm0OrkC7Sx8xMTEaMGDAPYcJZOqkokCBAnJzc7P2SiSIiopK1HuRWp6envL09ExU7u7uTgNEhqLNIaPR5pDRaHNwBdqdc6X2Wrp89qeUeHh4qFatWgoJCbEpDwkJUYMGDRza9/Tp0xUUFKQ6deo4tB8AAAAgu3N5T8WVK1d07Ngx6/KJEye0d+9e5cuXTyVLltTIkSPVq1cv1a5dW/Xr19fs2bMVERGh5557zqHjBgcHKzg4WDExMfL393f0NAAAAIBsy+VJxa5du9S8eXPrcsJ4hz59+mj+/Pnq1q2boqOjNWHCBEVGRqpy5cpavXq1AgMDXRUyAAAAgDu4PKlo1qyZ7vWojEGDBmnQoEEZFBEAAAAAe2TqMRUAAAAAMr9sm1QwUBsAAABwjmybVAQHB+vQoUMKCwtzdSgAAABAlpZtkwoAAAAAzuHygdoAAAAAMtjibkmX91iSpt1l254KxlQAAAAAzpFtkwrGVAAAAADOkW2TCgAAAADOQVIBAAAAwCEkFQAAAAAcQlIBAAAAwCHZNqlg9icAAADAObJtUsHsTwAAAIBzZNukAgAAAIBzkFQAAAAAcAhJBQAAAACHkFQAAAAAcEi2TSqY/QkAAABwjmybVDD7EwAAAOAc2TapAAAAAOAcJBUAAAAAHEJSAQAAAMAhJBUAAAAAHEJSAQAAAMAhJBUAAAAAHJJtkwqeUwEAAAA4R7ZNKnhOBQAAAOAc2TapAAAAAOAcJBUAAAAAHEJSAQAAAMAhJBUAAAAAHEJSAQAAAMAhJBUAAAAAHEJSAQAAAMAhJBUAAAAAHJJtkwqeqA0AAAA4R7ZNKniiNgAAAOAcOV0dAAAAAAAnW9wt6fIeS9LlcNm2pwIAAACAc5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHBItk0qpk+frqCgINWpU8fVoQAAAABZWrZNKoKDg3Xo0CGFhYW5OhQAAAAgS8u2SQUAAAAA5yCpAAAAAOAQkgoAAAAADiGpAAAAAOAQkgoAAAAADiGpAAAAAOAQkgoAAAAADiGpAAAAAOAQkgoAAAAADiGpAAAAAOAQpyQVFy9edMZuAAAAAGRBdicV7777rpYsWWJdfuKJJ5Q/f34FBARo3759Tg0OAAAAQOaX094NPv30Uy1atEiSFBISopCQEP3444/65ptvNGrUKK1du9bpQQIAAAC4w+JuSZf3WJJ0eTqzO6mIjIxUiRIlJEkrV67UE088oTZt2qhUqVKqV6+e0wMEAAAAkLnZfftT3rx5derUKUnSmjVr1KpVK0mSMUZxcXHOjQ4AAABApmd3T0WXLl3Uo0cPlStXTtHR0WrXrp0kae/evXrggQecHiAAAACAzM3unooPPvhAgwcPVlBQkEJCQpQrVy5J/94WNWjQIKcHeC+nTp1Ss2bNFBQUpKpVq+rbb7/N8BgAAACA7Mzungp3d3e9+OKLicqHDx/ujHjsljNnTk2bNk3Vq1dXVFSUatasqfbt28vX19cl8QAAAADZTaqSihUrVqR6h506dUpzMGlRtGhRFS1aVJJUqFAh5cuXT+fPnyepAAAAQNaWyWZ4SkmqkopHH33UZtliscgYY7OcwN7B2lu2bNGUKVMUHh6uyMhILVu2LNHxZsyYoSlTpigyMlKVKlXStGnT1Lhx40T72rVrl+Lj462zUwEAAABIf6kaUxEfH2/9W7t2rapXr64ff/xRFy9e1KVLl7R69WrVrFlTa9assTuAq1evqlq1avrkk0+SrF+yZImGDx+uMWPGaM+ePWrcuLHatWuniIgIm/Wio6PVu3dvzZ492+4YAAAAgAy3uFvSf1mQ3WMqhg8frlmzZqlRo0bWsrZt28rHx0fPPPOMfvvtN7v2165dO+sMUkl5//331b9/fw0YMECSNG3aNP3000+aOXOmJk6cKEm6efOmOnfurFdeeUUNGjRI8Xg3b97UzZs3rcsxMTGSpNjYWMXGxtoVO5AWCe2M9oaMQptDRqPNwRUyY7tzW9IjyfK4bov/rY+PT7r+f+eQUr0j26amPkFqr6fdScXx48fl7++fqNzf318nT560d3cpunXrlsLDwzV69Gib8jZt2mjHjh2S/n0+Rt++fdWiRQv16tXrnvucOHGixo8fn6h848aN8vHxcU7gQCqEhIS4OgRkM7Q5ZDTaHFwhM7W7elFRSZb/vHq1w/Xpue87Xbt2Lcn17mYxdw6OSIUmTZrI3d1dixYtsg6QPnPmjHr16qVbt25p8+bN9uzONhiLxWZMxd9//62AgABt377dpgfinXfe0YIFC3T48GFt27ZNTZo0UdWqVa31CxcuVJUqVZI8RlI9FSVKlFBkZKTy58+f5tiB1IqNjVVISIhat24td3d3V4eDbIA2h4xGm4MrZMZ2d8+eCgfq03Pfd4qJiVGBAgV06dIl+fn5JbmNlIaeijlz5qhLly4KDAxUyZIlJUkREREqX768li9fbu/uUuXOgeDSv70TCWWNGjVSfDLdN0nx9PSUp6dnonJ3d/dM0wCRPdDmkNFoc8hotDm4QqZqdzmSHr6cIyE+R+rTc993SO21tDupKFeunPbt26d169bp999/lzFGQUFBatWqVaIf/44qUKCA3NzcdObMGZvyqKgoFS5c2KnHAgAAAJA2diUVt2/flpeXl/bu3as2bdqoTZs26RWXJMnDw0O1atVSSEiIOnfubC0PCQnRI4884tC+p0+frunTp9s9BS4AAAAAW3YlFTlz5lRgYKBTf4hfuXJFx44dsy6fOHFCe/fuVb58+VSyZEmNHDlSvXr1Uu3atVW/fn3Nnj1bEREReu655xw6bnBwsIKDgxUTE5PkwHMAAAAgRVno4XTpze7bn1577TW98sorWrRokfLly+dwALt27VLz5s2tyyNHjpQk9enTR/Pnz1e3bt0UHR2tCRMmKDIyUpUrV9bq1asVGBjo8LEBAAAAOM7upOKjjz7SsWPHVKxYMQUGBsrX19emfvfu3Xbtr1mzZrrXBFSDBg3SoEGD7A0VAAAAQAawO6lImO41q2NMBQAAAOAcdicVY8eOTY84MhxjKgAAAADnsDupSBAeHq7ffvtNFotFQUFBqlGjhjPjAgAAAJBF2J1UREVF6cknn9SmTZuUJ08eGWN06dIlNW/eXF9//bUKFiyYHnECAAAAyKSSfpReCoYMGaKYmBgdPHhQ58+f14ULF3TgwAHFxMRo6NCh6REjAAAAgEzM7p6KNWvWaN26dXrwwQetZUFBQZo+fXq6PwzPmRioDQAAADiH3T0V8fHxcnd3T1Tu7u6u+Ph4pwSVEYKDg3Xo0CGFhYW5OhQAAAAgS7M7qWjRooWGDRumv//+21p2+vRpjRgxQi1btnRqcAAAAAAyP7uTik8++USXL19WqVKlVLZsWT3wwAMqXbq0Ll++rI8//jg9YgQAAACQidk9pqJEiRLavXu3QkJC9Pvvv8sYo6CgILVq1So94gMAAACQydmdVFy7dk0+Pj5q3bq1WrdunR4xZQgGagMAAADOYfftT3ny5FGDBg306quvau3atbp69Wp6xJXuGKgNAAAAOIfdScXmzZvVqVMn7d69W127dlXevHn10EMPafTo0frxxx/TI0YAAAAAmZjdtz/Vr19f9evX1+jRoxUXF6ewsDDNmjVLU6dO1ZQpU7idCAAAAPeHxd2SLu+xJGPjyALsTiok6ffff9emTZu0efNmbdq0SbGxserYsaOaNm3q7PgAAAAAZHJ2JxVFihRRbGysWrRooWbNmunVV19VlSpV0iM2AAAAAFmA3WMqihQpoitXrigiIkIRERH666+/dOXKlfSIDQAAAEAWYHdPxd69e3Xx4kVt2bJFmzdv1uuvv66DBw+qatWqat68uSZNmpQecTodU8oCAABkc4yZcJo0janIkyePOnXqpEaNGqlhw4b6/vvvtXjxYu3atSvLJBXBwcEKDg5WTEyM/P39XR0OAAAA0uJ/iYFbfLzqRUXJbckiqee3NnWJkDQ4nd1JxbJly7Rp0yZt2rRJBw8eVP78+dW4cWN98MEHat68eXrECAAAACATszupePbZZ9WkSRMNHDhQzZo1U+XKldMjLgAAAABZhN1JRVRUVHrEAQAAACCLsnv2JwAAAAC4E0kFAAAAAIeQVAAAAABwSKrGVOzfv1+VK1dWjhz3Tw7CcyoAAAAygXtN+8q0sFlCqrKEGjVq6J9//pEklSlTRtHR0ekaVEYIDg7WoUOHFBYW5upQAAAAgCwtVUlFnjx5dOLECUnSyZMnFR8fn65BAQAAAMg6UnX702OPPaamTZuqaNGislgsql27ttzc3JJc948//nBqgAAAAAAyt1QlFbNnz1aXLl107NgxDR06VAMHDlTu3LnTOzYAAAAAWUCqH3738MMPS5LCw8M1bNgwkgoAAAAAktLwRO158+ZZ//+vv/6SxWJRQECAU4MCAADAfYLZm7IFu+eIjY+P14QJE+Tv76/AwECVLFlSefLk0ZtvvskAbgAAACAbsrunYsyYMZozZ44mTZqkhg0byhij7du3a9y4cbpx44befvvt9IgTAAAAQCZld1KxYMECff755+rUqZO1rFq1agoICNCgQYNIKgAAALITbm+C0nD70/nz51WxYsVE5RUrVtT58+edElRGmD59uoKCglSnTh1XhwIAAABkaXb3VFSrVk2ffPKJPvroI5vyTz75RNWqVXNaYOktODhYwcHBiomJkb+/v6vDAQAAyJzoiUAq2J1UTJ48WR06dNC6detUv359WSwW7dixQ6dOndLq1avTI0YAAAAAmZjdtz81bdpUR44cUefOnXXx4kWdP39eXbp00eHDh9W4ceP0iBEAAABAJmZ3T4UkFStWjAHZAAAAACSlMakAAADAfYIxE3ACkgoAAID7XVKJA0kDnMjuMRUAAAAAcCe7kgpjjP78809dv349veIBAAAAkMXYdfuTMUblypXTwYMHVa5cufSKCQAAAPZgXARczK6eihw5cqhcuXKKjo5Or3gAAAAAZDF2j6mYPHmyRo0apQMHDqRHPAAAAACyGLtnf+rZs6euXbumatWqycPDQ97e3jb158+fd1pwAAAAADI/u5OKadOmpUMYAAAAALIqu5OKPn36pEccGW769OmaPn264uLiXB0KAAAAkKWl6TkVx48f12uvvabu3bsrKipKkrRmzRodPHjQqcGlp+DgYB06dEhhYWGuDgUAAADI0uxOKjZv3qwqVaro559/1tKlS3XlyhVJ0v79+zV27FinBwgAAAAgc7M7qRg9erTeeusthYSEyMPDw1revHlzhYaGOjU4AAAAAJmf3WMqfv31Vy1evDhRecGCBXl+BQAAQHrg4XbI5OzuqciTJ48iIyMTle/Zs0cBAQFOCQoAAABA1mF3T0WPHj308ssv69tvv5XFYlF8fLy2b9+uF198Ub17906PGAEAAO5v9EQgi7O7p+Ltt99WyZIlFRAQoCtXrigoKEhNmjRRgwYN9Nprr6VHjAAAAAAyMbt7Ktzd3fXll19qwoQJ2rNnj+Lj41WjRg2VK1cuPeIDAAAAkMnZnVQkKFu2rMqUKSNJslgsTgsIAAAAQNaSpqRizpw5+uCDD3T06FFJUrly5TR8+HANGDDAqcEBAABkCfcaE8GYCdzn7E4qXn/9dX3wwQcaMmSI6tevL0kKDQ3ViBEjdPLkSb311ltODxIAAABA5mV3UjFz5kx99tln6t69u7WsU6dOqlq1qoYMGUJSAQAAAGQzds/+FBcXp9q1aycqr1Wrlm7fvu2UoAAAAABkHXYnFT179tTMmTMTlc+ePVtPPfWUU4ICAAAAkHWk6vankSNHWv/fYrHo888/19q1a/XQQw9Jknbu3KlTp07x8DsAAHB/YqA1kKJUJRV79uyxWa5Vq5Yk6fjx45KkggULqmDBgjp48KCTwwMAAACQ2aUqqdi4cWN6xwEAAAAgi0rzw+8yk86dO2vTpk1q2bKlvvvuO1eHAwAAsqKkbnHi9iYgVexOKm7cuKGPP/5YGzduVFRUlOLj423qd+/e7bTgUmvo0KHq16+fFixYkOHHBgAAALI7u5OKfv36KSQkRF27dlXdunVlsVjSIy67NG/eXJs2bXJ1GAAAAEC2ZHdSsWrVKq1evVoNGzZ0SgBbtmzRlClTFB4ersjISC1btkyPPvqozTozZszQlClTFBkZqUqVKmnatGlq3LixU44PAADuE/eaoYkZnIB0Y/dzKgICApQ7d26nBXD16lVVq1ZNn3zySZL1S5Ys0fDhwzVmzBjt2bNHjRs3Vrt27RQREeG0GAAAAACknd1JxdSpU/Xyyy/rzz//dEoA7dq101tvvaUuXbokWf/++++rf//+GjBggB588EFNmzZNJUqUSPIBfAAAAAAynt23P9WuXVs3btxQmTJl5OPjI3d3d5v68+fPOy24W7duKTw8XKNHj7Ypb9OmjXbs2JGmfd68eVM3b960LsfExEiSYmNjFRsbm/ZggVRKaGe0N2QU2hwymqvanNtdk8ckiPtfHGmpd2TbzF6fmWNLS70xxvrf2EwWW3rUp/exE6T2fWx3UtG9e3edPn1a77zzjgoXLpyuA7X/+ecfxcXFqXDhwjblhQsX1pkzZ6zLbdu21e7du3X16lUVL15cy5YtU506dZLc58SJEzV+/PhE5Rs3bpSPj49zTwBIQUhIiKtDQDZDm0NGs7fN1Tv+fpLlP5cdmbr6qKik61evTnO9I9tm9vrMHJsj9efOncu0sTmzPr2PneDatWtJrnc3i0lI61LJx8dHoaGhqlatmj2bpS4Yi8VmoPbff/+tgIAA7dixQ/Xr17eu9/bbb2vhwoX6/fff7T5GUj0VJUqUUGRkpPLnz+/wOQD3Ehsbq5CQELVu3TpRTx+QHmhzyGhpbXNuS3okWR7XbbHL6l157PSuz8yxpaXeGKNz586pYMGCin/yq0wVW3rUp/exE8TExKhAgQK6dOmS/Pz8ktxGSkNPRcWKFXX9+nV7N0uTAgUKyM3NzaZXQpKioqIS9V6klqenpzw9PROVu7u782WLDEWbQ0ajzSGj2d3mciQ91DNHwj5cUO/KY6d3fWaOLS31Cc9Os1gs/9/uMkls6VKf3sf+n9S+h+1OKiZNmqQXXnhBb7/9tqpUqZLoQCllMPby8PBQrVq1FBISos6dO1vLQ0JC9Mgjjzi07+nTp2v69OmKi4tzNEwAACBZp2x1i49XvagouS1Z9O8PF6Z0Be57dicVDz/8sCSpZcuWNuXGGFksFrt/pF+5ckXHjh2zLp84cUJ79+5Vvnz5VLJkSY0cOVK9evVS7dq1Vb9+fc2ePVsRERF67rnn7A3dRnBwsIKDgxUTEyN/f3+H9gUAAABkZ3YnFRs3bnRqALt27VLz5s2tyyNH/jvYqk+fPpo/f766deum6OhoTZgwQZGRkapcubJWr16twMBAp8YBAAAAIG3sTiqaNm3q1ACaNWume40VHzRokAYNGuTU4wIAAABwDruTii1btqRY36RJkzQHk5EYUwEAgJ0YEwEgGXYnFc2aNUtUduezKrLKj3TGVAAAAADOkfRcUim4cOGCzV9UVJTWrFmjOnXqaO3atekRIwAAAIBMzO6eiqT+Vb9169by9PTUiBEjFB4e7pTAAAAAAGQNdvdUJKdgwYI6fPiws3YHAAAAIIuwu6di//79NsvGGEVGRmrSpEmqVq2a0wJLbwzUBgBkS/cabM1gbABpYHdSUb16dVkslkTTwD700EOaO3eu0wJLbwzUBgAAAJzD7qTixIkTNss5cuRQwYIF5eXl5bSgAAAAAGQddicVPMkaAAAAwJ3sTiokaf369Vq/fr2ioqIUHx9vU5eVboECAAAA4Di7k4rx48drwoQJql27tooWLWrz4DsAAAAA2Y/dScWsWbM0f/589erVKz3iyTDM/gQAyJKYvQlAJmT3cypu3bqlBg0apEcsGSo4OFiHDh1SWFiYq0MBAAAAsjS7k4oBAwZo8eLF6RELAAAAgCzI7tufbty4odmzZ2vdunWqWrWq3N3dberff/99pwUHAAAAIPNL0xO1q1evLkk6cOCATR2DtgEAAIDsx+6kYuPGjekRBwAAAIAsKk3PqbgfMPsTACBZaZlhKbWzLzF7E4D7kN0Dte8XzP4EAAAAOEe2TSoAAAAAOAdJBQAAAACHkFQAAAAAcAhJBQAAAACHkFQAAAAAcAhJBQAAAACH8JwKnlMBAOnDlc9y4FkQAJChsm1PBc+pAAAAAJwj2yYVAAAAAJyDpAIAAACAQ0gqAAAAADiEpAIAAACAQ0gqAAAAADiEpAIAAACAQ0gqAAAAADiEpAIAAACAQ3iiNk/UBuCI9Hiys5OfGu0WH696UVFyW7JIypGDp1IDAJwu2/ZU8ERtAAAAwDmybVIBAAAAwDlIKgAAAAA4hKQCAAAAgENIKgAAAAA4hKQCAAAAgENIKgAAAAA4hKQCAAAAgENIKgAAAAA4hKQCAAAAgENIKgAAAAA4hKQCAAAAgENIKgAAAAA4hKQCAAAAgENyujoAV5k+fbqmT5+uuLg4V4eC+8XibkmX91hiU+8WH696UVFyW7JIypEjUf29tk913f1Sn5ljAwAAkrJxT0VwcLAOHTqksLAwV4cCAAAAZGnZNqkAAAAA4BwkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAccl8kFStXrlSFChVUrlw5ff75564OBwAAAMhWcro6AEfdvn1bI0eO1MaNG+Xn56eaNWuqS5cuypcvn6tDAwAAALKFLN9T8csvv6hSpUoKCAhQ7ty51b59e/3000+uDgsAAADINlyeVGzZskUdO3ZUsWLFZLFYtHz58kTrzJgxQ6VLl5aXl5dq1aqlrVu3Wuv+/vtvBQQEWJeLFy+u06dPZ0ToAAAAAJQJkoqrV6+qWrVq+uSTT5KsX7JkiYYPH64xY8Zoz549aty4sdq1a6eIiAhJkjEm0TYWiyVdYwYAAADw/1w+pqJdu3Zq165dsvXvv/+++vfvrwEDBkiSpk2bpp9++kkzZ87UxIkTFRAQYNMz8ddff6levXrJ7u/mzZu6efOmdTkmJkaSFBsbq9jYWEdPB9mYW3x8kuVx/2tXCfUJibAxRvHx8Ynq77V9auvul/rMHFt61Tt7385sc47WZ+br7mh9Zo7NWfVZsc05Wp+ZY3O0PjPHlpb6O9tdbCaLLT3q0/vYCVL7+9jlSUVKbt26pfDwcI0ePdqmvE2bNtqxY4ckqW7dujpw4IBOnz4tPz8/rV69Wm+88Uay+5w4caLGjx+fqHzjxo3y8fGxLtc7/n6idX4uOzLZuqxen5ljc7Q+w44dFZV0/erVSdafO3cuxfp7be/otlmlPjPHll716bVvZ7Q5R+sz83V3tD4zx+as+qzY5hytz8yxOVqfmWNzpP7cuXOZNjZn1qf3sRNcu3YtyfXuZjFJ3T/kIhaLRcuWLdOjjz4q6f/HS2zfvl0NGjSwrvfOO+9owYIFOnz4sCRpxYoVevHFFxUfH6+XXnpJzzzzTLLHSKqnokSJEoqMjFT+/Pmt5W5LeiTaNq7b4mTrsnp9Zo7N0frMFpsxRufOnVPBggVlsVjuq3NLj/rMHFt61WfmNudofWa+7o7WZ+bYnFWfFduco/WZOTZH6zNzbGmpv7PdxT/5VaaKLT3q0/vYCWJiYlSgQAFdunRJfn5+SW4jZfKeigR3j5EwxtiUderUSZ06dUrVvjw9PeXp6Zmo3N3dXe7u7v9fkCPxcJMcCfVJ1GX1+swcm6P1mS22+P91N1osFuXIkeO+Ord0qc/MsaVTfWZuc47WZ+br7mh9Zo7NafVZsM05Wp+ZY3O0PjPHlpb6O9udeyaLLV3q0/vY/+N+13JyXD5QOyUFChSQm5ubzpw5Y1MeFRWlwoULuygqAAAAAHfK1EmFh4eHatWqpZCQEJvykJAQm9uh0mL69OkKCgpSnTp1HNoPAAAAkN25/PanK1eu6NixY9blEydOaO/evcqXL59KliypkSNHqlevXqpdu7bq16+v2bNnKyIiQs8995xDxw0ODlZwcLBiYmLk7+/v6GkAAAAA2ZbLk4pdu3apefPm1uWRI/+dSadPnz6aP3++unXrpujoaE2YMEGRkZGqXLmyVq9ercDAQFeFDAAAAOAOLk8qmjVrluQD7O40aNAgDRo0KIMiAgAAAGCPTD2mIj0xpgIAAABwjmybVAQHB+vQoUMKCwtzdSgAAABAlpZtkwoAAAAAzuHyMRWuljCe4/LlyzYP9/C+fTvRutdjYpKty+r1mTk2R+szW2wmPl5xcXG6ffu2LDly3Ffnlh71mTm29KrPzG3O0frMfN0drc/MsTmrPiu2OUfrM3NsjtZn5tjSUn9nu7uRyWJLj/r0PnaCmP8t32sMtMXca4373B9//KGyZcu6OgwAAAAg0zp16pSKFy+ebH2276nIly+fJCkiIoLnVSBDxMTEqESJEjp16pT8/PxcHQ6yAdocMhptDq5Au0sfxhhdvnxZxYoVS3G9bJ9U5Mjx77ASf39/GiAylJ+fH20OGYo2h4xGm4Mr0O6cLzX/8M5AbQAAAAAOIakAAAAA4JBsn1R4enpq7Nix8vT0dHUoyCZoc8hotDlkNNocXIF251rZfvYnAAAAAI7J9j0VAAAAABxDUgEAAADAISQVAAAAABySrZOKGTNmqHTp0vLy8lKtWrW0detWV4eE+8TEiRNVp04d5c6dW4UKFdKjjz6qw4cP26xjjNG4ceNUrFgxeXt7q1mzZjp48KCLIsb9ZuLEibJYLBo+fLi1jDYHZzt9+rR69uyp/Pnzy8fHR9WrV1d4eLi1njYHZ7t9+7Zee+01lS5dWt7e3ipTpowmTJig+Ph46zq0O9fItknFkiVLNHz4cI0ZM0Z79uxR48aN1a5dO0VERLg6NNwHNm/erODgYO3cuVMhISG6ffu22rRpo6tXr1rXmTx5st5//3198sknCgsLU5EiRdS6dWtdvnzZhZHjfhAWFqbZs2eratWqNuW0OTjThQsX1LBhQ7m7u+vHH3/UoUOHNHXqVOXJk8e6Dm0Ozvbuu+9q1qxZ+uSTT/Tbb79p8uTJmjJlij7++GPrOrQ7FzHZVN26dc1zzz1nU1axYkUzevRoF0WE+1lUVJSRZDZv3myMMSY+Pt4UKVLETJo0ybrOjRs3jL+/v5k1a5arwsR94PLly6ZcuXImJCTENG3a1AwbNswYQ5uD87388sumUaNGydbT5pAeOnToYPr162dT1qVLF9OzZ09jDO3OlbJlT8WtW7cUHh6uNm3a2JS3adNGO3bscFFUuJ9dunRJkpQvXz5J0okTJ3TmzBmbNujp6ammTZvSBuGQ4OBgdejQQa1atbIpp83B2VasWKHatWvr8ccfV6FChVSjRg199tln1nraHNJDo0aNtH79eh05ckSStG/fPm3btk3t27eXRLtzpZyuDsAV/vnnH8XFxalw4cI25YULF9aZM2dcFBXuV8YYjRw5Uo0aNVLlypUlydrOkmqDf/75Z4bHiPvD119/rfDwcO3atStRHW0OzvbHH39o5syZGjlypF599VX98ssvGjp0qDw9PdW7d2/aHNLFyy+/rEuXLqlixYpyc3NTXFyc3n77bXXv3l0Sn3WulC2TigQWi8Vm2RiTqAxw1ODBg7V//35t27YtUR1tEM5y6tQpDRs2TGvXrpWXl1ey69Hm4Czx8fGqXbu23nnnHUlSjRo1dPDgQc2cOVO9e/e2rkebgzMtWbJEixYt0uLFi1WpUiXt3btXw4cPV7FixdSnTx/rerS7jJctb38qUKCA3NzcEvVKREVFJcpsAUcMGTJEK1as0MaNG1W8eHFreZEiRSSJNginCQ8PV1RUlGrVqqWcOXMqZ86c2rx5sz766CPlzJnT2q5oc3CWokWLKigoyKbswQcftE54wucc0sOoUaM0evRoPfnkk6pSpYp69eqlESNGaOLEiZJod66ULZMKDw8P1apVSyEhITblISEhatCggYuiwv3EGKPBgwdr6dKl2rBhg0qXLm1TX7p0aRUpUsSmDd66dUubN2+mDSJNWrZsqV9//VV79+61/tWuXVtPPfWU9u7dqzJlytDm4FQNGzZMNFX2kSNHFBgYKInPOaSPa9euKUcO25+vbm5u1illaXcu5MJB4i719ddfG3d3dzNnzhxz6NAhM3z4cOPr62tOnjzp6tBwH3j++eeNv7+/2bRpk4mMjLT+Xbt2zbrOpEmTjL+/v1m6dKn59ddfTffu3U3RokVNTEyMCyPH/eTO2Z+Moc3BuX755ReTM2dO8/bbb5ujR4+aL7/80vj4+JhFixZZ16HNwdn69OljAgICzMqVK82JEyfM0qVLTYECBcxLL71kXYd25xrZNqkwxpjp06ebwMBA4+HhYWrWrGmd7hNwlKQk/+bNm2ddJz4+3owdO9YUKVLEeHp6miZNmphff/3VdUHjvnN3UkGbg7P98MMPpnLlysbT09NUrFjRzJ4926aeNgdni4mJMcOGDTMlS5Y0Xl5epkyZMmbMmDHm5s2b1nVod65hMcYYV/aUAAAAAMjasuWYCgAAAADOQ1IBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAAAAcQlIBAAAAwCEkFQAAl2nSpIkWL17stP1ZLBYtX75cknTy5ElZLBbt3bvXrn3Mnz9fefLkcTiWZs2aafjw4Q7vJ8HKlStVo0YNxcfHO22fAOAsJBUAAJdYuXKlzpw5oyeffDJd9l+iRAlFRkaqcuXKkqRNmzbJYrHo4sWLKW7XrVs3HTlyJF1icsR//vMfWSwWpyZhAOAsJBUA4CK3bt1ydQgu9dFHH+npp59Wjhzp81Xk5uamIkWKKGfOnHZt5+3trUKFCqVLTI56+umn9fHHH7s6DABIhKQCADJIs2bNNHjwYI0cOVIFChRQ69atJUmHDh1S+/btlStXLhUuXFi9evXSP//8Y93uu+++U5UqVeTt7a38+fOrVatWunr1qiSpb9++evTRRzV+/HgVKlRIfn5+evbZZ20Slps3b2ro0KEqVKiQvLy81KhRI4WFhVnrE/4Ff/369apdu7Z8fHzUoEEDHT582LrOvn371Lx5c+XOnVt+fn6qVauWdu3aZa3fsWOHmjRpIm9vb5UoUUJDhw61xpiUf/75R+vWrVOnTp1syseNG6eSJUvK09NTxYoV09ChQ611pUqV0ptvvqkePXooV65cKlasWIo/sO+8/enkyZNq3ry5JClv3ryyWCzq27dvktvdffvTuHHjVL16dS1cuFClSpWSv7+/nnzySV2+fNm6ztWrV9W7d2/lypVLRYsW1dSpUxPt99atW3rppZcUEBAgX19f1atXT5s2bZIk3bhxQ5UqVdIzzzxjXf/EiRPy9/fXZ599Zi3r1KmTfvnlF/3xxx/JnjcAuAJJBQBkoAULFihnzpzavn27Pv30U0VGRqpp06aqXr26du3apTVr1ujs2bN64oknJEmRkZHq3r27+vXrp99++02bNm1Sly5dZIyx7nP9+vX67bfftHHjRn311VdatmyZxo8fb61/6aWX9N///lcLFizQ7t279cADD6ht27Y6f/68TWxjxozR1KlTtWvXLuXMmVP9+vWz1j311FMqXry4wsLCFB4ertGjR8vd3V2S9Ouvv6pt27bq0qWL9u/fryVLlmjbtm0aPHhwstdh27Zt8vHx0YMPPmgt++677/TBBx/o008/1dGjR7V8+XJVqVLFZrspU6aoatWq2r17t1555RWNGDFCISEh97zuJUqU0H//+19J0uHDhxUZGakPP/zwntslOH78uJYvX66VK1dq5cqV2rx5syZNmmStHzVqlDZu3Khly5Zp7dq12rRpk8LDw2328fTTT2v79u36+uuvtX//fj3++ON6+OGHdfToUXl5eenLL7/UggULtHz5csXFxalXr15q3ry5Bg4caN1HYGCgChUqpK1bt6Y6dgDIEAYAkCGaNm1qqlevblP2+uuvmzZt2tiUnTp1ykgyhw8fNuHh4UaSOXnyZJL77NOnj8mXL5+5evWqtWzmzJkmV65cJi4uzly5csW4u7ubL7/80lp/69YtU6xYMTN58mRjjDEbN240ksy6deus66xatcpIMtevXzfGGJM7d24zf/78JGPo1auXeeaZZ2zKtm7danLkyGHd/m4ffPCBKVOmjE3Z1KlTTfny5c2tW7eS3CYwMNA8/PDDNmXdunUz7dq1sy5LMsuWLTPGGHPixAkjyezZs8fmPC9cuJDk/hPMmzfP+Pv7W5fHjh1rfHx8TExMjLVs1KhRpl69esYYYy5fvmw8PDzM119/ba2Pjo423t7eZtiwYcYYY44dO2YsFos5ffq0zbFatmxpXnnlFevy5MmTTYECBcyQIUNMkSJFzLlz5xLFV6NGDTNu3LgUzwEAMho9FQCQgWrXrm2zHB4ero0bNypXrlzWv4oVK0r691/Hq1WrppYtW6pKlSp6/PHH9dlnn+nChQs2+6hWrZp8fHysy/Xr19eVK1d06tQpHT9+XLGxsWrYsKG13t3dXXXr1tVvv/1ms5+qVata/79o0aKSpKioKEnSyJEjNWDAALVq1UqTJk3S8ePHbc5h/vz5NufQtm1bxcfH68SJE0leh+vXr8vLy8um7PHHH9f169dVpkwZDRw4UMuWLdPt27dt1qlfv36i5bvPIz2UKlVKuXPnti4XLVrUem2OHz+uW7du2cSWL18+VahQwbq8e/duGWNUvnx5m+u0efNmm2v5wgsvqEKFCvr44481b948FShQIFEs3t7eunbtWnqcJgCkGUkFAGQgX19fm+X4+Hh17NhRe/futfk7evSomjRpIjc3N4WEhOjHH39UUFCQPv74Y1WoUCHZH+t3slgs1tukLBaLTZ0xJlFZwu1Md66fMH3puHHjdPDgQXXo0EEbNmxQUFCQli1bZl3n2WeftYl/3759Onr0qMqWLZtkbAUKFEiUHJUoUUKHDx/W9OnT5e3trUGDBqlJkyaKjY2953mmtzuvTcIxE66NueNWtOTEx8fLzc1N4eHhNtfpt99+s7kNKyoqSocPH5abm5uOHj2a5L7Onz+vggULOnA2AOB8JBUA4EI1a9bUwYMHVapUKT3wwAM2fwkJiMViUcOGDTV+/Hjt2bNHHh4e1h/00r+DqK9fv25d3rlzp3LlyqXixYvrgQcekIeHh7Zt22atj42N1a5du2zGM6RG+fLlNWLECK1du1ZdunTRvHnzbM7h7vgTjp2UGjVq6MyZM4kSC29vb3Xq1EkfffSRNm3apNDQUP36668253annTt3Wnt27iUhlri4uFSfc2o88MADcnd3t4ntwoULNtPS1qhRQ3FxcYqKikp0jYoUKWJdr1+/fqpcubK++OILvfTSSzp06JDNsW7cuKHjx4+rRo0aTj0HAHAUSQUAuFBwcLDOnz+v7t27W2f1Wbt2rfr166e4uDj9/PPPeuedd7Rr1y5FRERo6dKlOnfunE1CcOvWLfXv31+HDh3Sjz/+qLFjx2rw4MHKkSOHfH199fzzz2vUqFFas2aNDh06pIEDB+ratWvq379/qmK8fv26Bg8erE2bNunPP//U9u3bFRYWZo3h5ZdfVmhoqIKDg629LCtWrNCQIUOS3WeNGjVUsGBBbd++3Vo2f/58zZkzRwcOHNAff/yhhQsXytvbW4GBgdZ1tm/frsmTJ+vIkSOaPn26vv32Ww0bNixV5xEYGCiLxaKVK1fq3LlzunLlSqq2u5dcuXKpf//+GjVqlNavX68DBw6ob9++NlPlli9fXk899ZR69+6tpUuX6sSJEwoLC9O7776r1atXS5KmT5+u0NBQffHFF+rRo4e6du2qp556ymYmr507d8rT0zPRbWAA4GokFQDgQsWKFdP27dsVFxentm3bqnLlyho2bJj8/f2VI0cO+fn5acuWLWrfvr3Kly+v1157TVOnTlW7du2s+2jZsqXKlSunJk2a6IknnlDHjh01btw4a/2kSZP02GOPqVevXqpZs6aOHTumn376SXnz5k1VjG5uboqOjlbv3r1Vvnx5PfHEE2rXrp11hqmqVatq8+bNOnr0qBo3bqwaNWro9ddft47LSG6f/fr105dffmkty5Mnjz777DM1bNhQVatW1fr16/XDDz8of/781nVeeOEFhYeHq0aNGnrzzTc1depUtW3bNlXnERAQoPHjx2v06NEqXLhwirNT2WvKlClq0qSJOnXqpFatWqlRo0aqVauWzTrz5s1T7969reMmOnXqpJ9//lklSpTQ77//rlGjRmnGjBkqUaKEpH+TjIsXL+r111+37uOrr77SU089ZTOGBgAyA4tJzc2gAIBMqW/fvrp48aKWL1/u6lDsdvbsWVWqVEnh4eE2vRHJKVWqlIYPH67hw4enf3CZ0Llz51SxYkXt2rVLpUuXdnU4AGCDngoAgEsULlxYc+bMUUREhKtDyRJOnDihGTNmkFAAyJRyujoAAED29cgjj7g6hCyjbt26qlu3rqvDAIAkcfsTAAAAAIdw+xMAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh5BUAAAAAHAISQUAAAAAh/wff+cOLsHdYbgAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 800x350 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(8,3.5))\n",
    "wlist = [\"stump\"]\n",
    "for w in wlist\n",
    "    g = sort!(get_group_sizes(w,SOLUTION_WORDS))\n",
    "    bar(1:length(g), g, color=\"C1\", label=uppercase(w), width=0.75, alpha=0.7, zorder=4, log=true)\n",
    "end\n",
    "xlim([0,91])\n",
    "xlabel(\"response (split index)\")\n",
    "ylabel(\"number of words\")\n",
    "grid(zorder=2)\n",
    "title(\"Distribution of solution words after the initial guess: STUMP\")\n",
    "# legend(loc=\"upper right\")\n",
    "tight_layout()\n",
    "savefig(\"figures/word_pdf_stump_new.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0d08479e-4626-4589-970c-21531f004c22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 800x350 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = countmap(split(uppercase(join(SOLUTION_WORDS)),\"\"))\n",
    "k = collect(keys(x))\n",
    "v = collect(values(x)) / length(join(SOLUTION_WORDS))\n",
    "I = sortperm(v, rev=true)\n",
    "\n",
    "figure(figsize=(8,3.5))\n",
    "bar(1:26,v[I],tick_label=k[I],zorder=4)\n",
    "grid(zorder=2)\n",
    "xlim([0,27])\n",
    "title(\"Relative frequency of letters in Wordle solution words\")\n",
    "tight_layout()\n",
    "savefig(\"figures/lett_freq.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98cc6fb6-5a64-4da7-a4c5-4e6f3871e0d7",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a07ff517",
   "metadata": {},
   "source": [
    "## Results"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0171a253",
   "metadata": {},
   "source": [
    "### Using only solution words as guesses, prioritizing entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f7c491a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: raise\n",
      "\n",
      "Proportions\n",
      "6-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0264184\n",
      "3     │    0.492854\n",
      "4     │    0.440017\n",
      "5     │    0.039411\n",
      "6     │ 0.000866176\n",
      "\n",
      "Mean Score\n",
      "3.4941533131225637\n",
      "  4.156640 seconds (54.15 M allocations: 2.522 GiB, 8.70% gc time, 37.99% compilation time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = false,\n",
    "    hard_mode = false,\n",
    "    heuristic = PRIORITIZE_ENTROPY\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96b5b2ea-71d6-4d5a-9fc6-9f8b035dec29",
   "metadata": {},
   "source": [
    "### Using only solution words as guesses, prioritizing maxsize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d2b0d588-ab77-4100-b5f5-eb573faa0f9c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: raise\n",
      "\n",
      "Proportions\n",
      "5-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0316154\n",
      "3     │    0.427458\n",
      "4     │    0.497618\n",
      "5     │   0.0428757\n",
      "\n",
      "Mean Score\n",
      "3.5508878302295366\n",
      "  2.646790 seconds (51.62 M allocations: 2.383 GiB, 15.19% gc time, 0.10% compilation time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = false,\n",
    "    hard_mode = false,\n",
    "    heuristic = PRIORITIZE_MAX_GROUP_SIZE,\n",
    "    max_val = 6\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d67c33cb",
   "metadata": {},
   "source": [
    "### Using only solution words as guesses, prioritizing max splits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ad6d35fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: trace\n",
      "\n",
      "Proportions\n",
      "6-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │    0.034647\n",
      "3     │    0.512776\n",
      "4     │    0.416197\n",
      "5     │    0.034647\n",
      "6     │  0.00129926\n",
      "\n",
      "Mean Score\n",
      "3.4538761368557815\n",
      "  2.304650 seconds (48.98 M allocations: 2.257 GiB, 9.20% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = false,\n",
    "    hard_mode = false,\n",
    "    heuristic = PRIORITIZE_SPLITS\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b231d193",
   "metadata": {},
   "source": [
    "### Using all possible words as guesses, prioritizing entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2d06aca5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: soare\n",
      "\n",
      "Proportions\n",
      "5-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "2     │    0.019489\n",
      "3     │    0.526202\n",
      "4     │    0.426592\n",
      "5     │   0.0272845\n",
      "6     │ 0.000433088\n",
      "\n",
      "Mean Score\n",
      "3.4629709831095714\n",
      " 14.569992 seconds (289.10 M allocations: 12.790 GiB, 11.25% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = true,\n",
    "    hard_mode = false,\n",
    "    heuristic = PRIORITIZE_ENTROPY\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d921166-98f0-46b0-94aa-032d123148c3",
   "metadata": {},
   "source": [
    "### Using all possible words as guesses, prioritizing maxsize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e26f0150",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: raise\n",
      "\n",
      "Proportions\n",
      "5-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0290169\n",
      "3     │    0.451711\n",
      "4     │    0.487224\n",
      "5     │   0.0316154\n",
      "\n",
      "Mean Score\n",
      "3.5205716760502384\n",
      " 13.628880 seconds (299.39 M allocations: 13.354 GiB, 13.71% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = true,\n",
    "    hard_mode = false,\n",
    "    heuristic = PRIORITIZE_MAX_GROUP_SIZE,\n",
    "    max_val = 6\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5f86100",
   "metadata": {},
   "source": [
    "### Using all possible words as guesses, prioritizing max splits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d8993e09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: trace\n",
      "\n",
      "Proportions\n",
      "6-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0320485\n",
      "3     │    0.533564\n",
      "4     │    0.404937\n",
      "5     │   0.0281507\n",
      "6     │ 0.000866176\n",
      "\n",
      "Mean Score\n",
      "3.4309224772628846\n",
      " 13.901155 seconds (283.11 M allocations: 12.545 GiB, 11.55% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = true,\n",
    "    hard_mode = false,\n",
    "    heuristic = PRIORITIZE_SPLITS\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26513cf8-a27b-48ce-8ccd-80a1be444a52",
   "metadata": {},
   "source": [
    "### Using only solutions words as guesses + hard mode, prioritizing entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7cb6ef4d-4227-46b2-9f7b-fa9c11601707",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: raise\n",
      "\n",
      "Proportions\n",
      "8-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0567345\n",
      "3     │    0.431356\n",
      "4     │    0.396709\n",
      "5     │   0.0892161\n",
      "6     │   0.0203551\n",
      "7     │  0.00433088\n",
      "8     │ 0.000866176\n",
      "\n",
      "Mean Score\n",
      "3.600259852750108\n",
      "  0.910045 seconds (15.63 M allocations: 564.558 MiB, 8.70% gc time, 9.08% compilation time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = false,\n",
    "    hard_mode = true,\n",
    "    heuristic = PRIORITIZE_ENTROPY\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75e09a7f-13d7-4925-95f7-b5775df37b3e",
   "metadata": {},
   "source": [
    "### Using only solutions words as guesses + hard mode, prioritizing maxsize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "bf7e69cb-0e57-41f5-8aef-dfe1221708cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: raise\n",
      "\n",
      "Proportions\n",
      "8-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0567345\n",
      "3     │    0.396275\n",
      "4     │    0.424859\n",
      "5     │   0.0957124\n",
      "6     │   0.0203551\n",
      "7     │  0.00433088\n",
      "8     │  0.00129926\n",
      "\n",
      "Mean Score\n",
      "3.6435686444348203\n",
      "  0.840980 seconds (15.35 M allocations: 548.314 MiB, 6.34% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = false,\n",
    "    hard_mode = true,\n",
    "    heuristic = PRIORITIZE_MAX_GROUP_SIZE\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e19ddc4",
   "metadata": {},
   "source": [
    "### Using only solutions words as guesses + hard mode, prioritizing max splits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "53f60dd2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: trace\n",
      "\n",
      "Proportions\n",
      "8-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0645301\n",
      "3     │    0.451278\n",
      "4     │    0.388913\n",
      "5     │    0.078822\n",
      "6     │   0.0121265\n",
      "7     │   0.0034647\n",
      "8     │ 0.000433088\n",
      "\n",
      "Mean Score\n",
      "3.533564313555652\n",
      "  0.838640 seconds (15.21 M allocations: 548.569 MiB, 5.90% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = false,\n",
    "    hard_mode = true,\n",
    "    heuristic = PRIORITIZE_SPLITS\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "089c1058",
   "metadata": {},
   "source": [
    "### Using all possible words as guesses + hard mode, prioritizing entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5dedad13",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Lzhk7OzuVdplMBkdHR+VxBICePXvi2LFjyM3NxZ49e9C9e3fY2NjAy8sLe/bswdWrV3H16lWVAuiff/7BmTNn1I6Xubk5hBDK86y8525ZSvI2NjYudb0m7z0AKu8/Tc/r4cOHw8jICAUFBfjggw9U1l27dk3tWJQUNv/88w927Nihtr5krtuz78nyvH9e5Nmfd/fv34cQotSfg87OzgCgck4Apb9Gz547np6e6NSpk/J9/Msvv+DatWuYPHlyqXEZGxtrfUJ2dWWg7QCo5ti+fTtyc3OxdetWlUdjU1NTS+3/bJEBPPlBc/z4cbX28k6CflU2Njb4/fffIYRQiS8zMxOFhYWwtbVV9issLERWVpbKD8dn47SyslL+RVdWIeHu7q5RjA8fPsQvv/yCOXPmYMaMGcr2goICZVHwMvT09DBp0iT897//xaefforo6Gj06NFDbaLrs0ryLylanpaRkaHyV2fJL81nJ5Q/+wun5DivXr0aHTt2LHW/JcWVra0toqKiEBUVhbS0NPz888+YMWMGMjMzsWvXLgCAh4cHNm/eDCEEzpw5g9jYWMyfPx8mJiYqx/BpZ8+exenTpxEbG4ugoCBl++XLl8s8Fs9Tcs7cuXNHpQgSQiAjIwPt2rVTtvXo0QOzZ8/GoUOHsHfvXsyZM0fZnpCQoDxnevToodzG1tYWJiYm+Oqrr0rdv6bnbllKxnmVc600mp7XRUVFGD58OKysrCCXyxEcHIzffvtNWVg5OzvjxIkTKtuUnMu2trZo1aoVFi1aVGosJQVIRXr2552VlRX09PSQnp6u1rfkKlvJsS5R2muUkZGBhg0bqrRNnToVb731Fk6dOoXPPvsMjRs3hr+/f6lx3b9/X20/9ASvAFG5lbzBS/46Ap78cP/888/LPUa3bt3w6NEj/Pzzzyrt3333XcUE+QI9evRATk4Otm/frtK+ceNG5fqSOAHgf//7n0q/Z+M0NTVFt27dkJKSglatWsHb21vt37N/Xb6ITCaDEELlOAPAF198ofLk0MsYO3YsjIyMMHz4cFy4cKHMvxqf1qFDB8jlcsTFxam0Hzt2TO0WQUkxdObMGZX2Z19vPz8/1K5dG+fOnSv1mHl7eyt/0T2tXr16mDx5Mvz9/XHq1Cm19TKZDK1bt8aKFStQu3btUvs83ReA2nFet25dmds8T8m58+2336q0b9myBbm5uSrFTPv27WFhYYGoqChkZGQof3n17NkTKSkp+P7779G8eXOVX9Svv/46rly5Ahsbm1KPV8mxL++5W5aSW1dXrlzRIPsX0/S8njNnDg4fPoz//e9/iIuLw+nTp1WuAhkZGakdA3NzcwBPjtXZs2fRoEGDUo/VyxRAml4VMjMzQ4cOHbB161aVbYqLi/Htt9+ibt26aNy4sco2z75mR48exfXr11WetASAQYMGoV69enjvvfewZ88ehISElPoH5+3bt5Gfn4/mzZuXK2ap4RUgKjd/f38YGRlh6NCh+PDDD5Gfn4+YmBjcv3+/3GOMHDkSK1aswMiRI7Fo0SI0atQI8fHx2L17dyVGrrr/NWvWICgoCNeuXYOHhweOHDmCjz/+GH379lXecggICEDnzp3x4YcfIjc3F97e3vjtt9/wzTffqI25cuVKvPbaa+jUqRPeffdduLm54dGjR7h8+TJ27NihnBsCPJkncfDgQeVchdJYWFigc+fOWLp0KWxtbeHm5oaDBw/iyy+/RO3atV8p/9q1a2PkyJGIiYmBq6sr+vfv/8JtrK2tER4ejsjISFhZWWHQoEG4efMm5s2bBycnJ+jp/d/fUSWPTr///vsoLCyElZUVtm3bppzXUqJWrVpYvXo1goKCcO/ePQwePBj29va4c+cOTp8+jTt37iAmJgYPHz5Et27dMGzYMDRt2hTm5uY4ceIEdu3ahTfeeAPAk1sA0dHRGDhwIOrXrw8hBLZu3YoHDx6U+VcxADRt2hQNGjTAjBkzIISAtbU1duzYgcTExJc6tv7+/ujVqxemT5+O7Oxs+Pn54cyZM5gzZw48PT0xYsQIZV99fX106dIFO3bsgLu7Oxo0aADgSWEol8uxd+9eTJ06VWX8sLAwbNmyBZ07d8a0adPQqlUrFBcXIy0tDQkJCXjvvffQoUMHjc7d0tStWxf169fHsWPH1GJ4FZqc14mJiYiMjMTs2bOVhWNkZCTef/99dO3aFYMGDXruvubPn4/ExET4+vpi6tSpaNKkCfLz83Ht2jXEx8dj7dq1qFu3rkbxe3h4AACWLFmCPn36QF9fH61atSq1UC8RGRkJf39/dOvWDe+//z6MjIwQHR2Ns2fPYtOmTWpFy8mTJzF27Fi89dZbuHHjBmbOnIk6deogJCREpZ++vj4mTZqE6dOnw8zMTG3eWYmS27klRTE9QytTr6laKXkK7OnHUIUo/cmXHTt2iNatWwtjY2NRp04d8cEHHyifOnn6EecuXbqIFi1alLq/mzdvijfffFPUqlVLmJubizfffFMcPXpUo6fAnn0SpqwcgoKChJmZmUpbVlaWmDhxonBychIGBgbC1dVVREREKJ++KfHgwQMxZswYUbt2bWFqair8/f3FX3/9VeqTNFevXhVjxowRderUEYaGhsLOzk74+vqqPL0hhBBeXl7C0dHxuTk+fYysrKyEubm56N27tzh79qxwdXUVQUFBLzwepT12XuLAgQMCgFi8ePEL4yhRXFwsFi5cKOrWrSuMjIxEq1atxC+//CJat26t9uTKxYsXRUBAgLCwsBB2dnZiypQp4tdffy01noMHD4p+/foJa2trYWhoKOrUqSP69esnfvjhByGEEPn5+WLixImiVatWwsLCQpiYmIgmTZqIOXPmKJ84+uuvv8TQoUNFgwYNhImJibC0tBTt27cXsbGxL8zr3Llzwt/fX5ibmwsrKyvx1ltvibS0NLXXuDxPgQnx5GMWpk+fLlxdXYWhoaFwcnIS7777rvIx5qetXLlSABDjxo1Taff39y/z6amcnBwxa9Ys0aRJE2FkZKT8+IVp06aJjIwMZT9Nzt3SzJ49W1hZWam9J1xdXUW/fv3U+gMQkyZNUmkrecJq6dKlyrbynNe3b98W9vb2onv37qKoqEi5bXFxsejfv7+oXbu22tNOpblz546YOnWqcHd3F4aGhsLa2lp4eXmJmTNnipycnDJjfDqnp49VQUGBGDt2rLCzsxMymUzlfCgt/xKHDx8W3bt3F2ZmZsLExER07NhR7NixQ6VPyfmVkJAgRowYIWrXri1MTExE3759xaVLl0od99q1awKAmDhxYpnHYMSIEcLDw+N5h0nSWAARVZHs7GxhYGAgPvvsM63GER4eLkxMTMTdu3dfaZy///5bGBkZiUWLFlVQZFRd3Lp1SxgZGZX6KDxVvLL+kHmeVatWCQDi7Nmzpa5/+PChMDMzU378AqnjLTCiKnLo0CHUqVMH48aN08r+jx07hosXLyI6OhoTJkzQaG7S6dOnsWnTJvj6+sLCwgIXLlzAJ598AgsLC7VHk6nmc3Z2RlhYGBYtWoS33npL5TYnaVdKSgquXr2K+fPnY8CAAWV+ivuKFStQr149jB49uoojrDlYABFVkX79+ql9TlFV8vHxgampKV5//XUsXLhQo23NzMxw8uRJfPnll3jw4AEsLS3RtWtXLFq06KUfhafqbdasWTA1NcWtW7fg4uKi7XDo/xs0aBAyMjLQqVMnrF27tsx+FhYWiI2NhYEBf82XRSbEc2ZjEhEREekgXtckIiIiyWEBRERERJLDAoiIiIgkh7OjSlFcXIzbt2/D3Ny81E/XJCIioupHCIFHjx7B2dn5hU8vsgAqxe3bt/nUAxERUQ1148aNF37aNwugUpR8n8yNGzdgYWGh5WhejUKhQEJCAgICAmBoaKjtcCqcrucH6H6OzK/m0/UcdT0/QHdyzM7OhouLi/L3+POwACpFyW0vCwsLnSiATE1NYWFhUaNP6rLoen6A7ufI/Go+Xc9R1/MDdC/H8kxf4SRoIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCTHQNsBENVEbjN+reI9GiA0KaHK9nZtcb8q2xcRkTbwChARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREkqP1Aig6Ohru7u4wNjaGl5cXDh8+XK7tfvvtNxgYGKBNmzZq67Zs2YLmzZtDLpejefPm2LZtWwVHTURERDWZgTZ3HhcXh7CwMERHR8PPzw/r1q1Dnz59cO7cOdSrV6/M7R4+fIiRI0eiR48e+Oeff1TWJSUlITAwEAsWLMCgQYOwbds2DBkyBEeOHEGHDh0qOyUineA249cq3qMBQpMSqmxv1xb3q7J9EVH1pNUrQMuXL0dwcDDGjh2LZs2aISoqCi4uLoiJiXnudhMmTMCwYcPg4+Ojti4qKgr+/v6IiIhA06ZNERERgR49eiAqKqqSsiAiIqKaRmtXgB4/fozk5GTMmDFDpT0gIABHjx4tc7sNGzbgypUr+Pbbb7Fw4UK19UlJSZg2bZpKW69evZ5bABUUFKCgoEC5nJ2dDQBQKBRQKBTlSafaKom/pudRFl3PjypHVZ4vUjhHdT1HXc8P0J0cNYlfawXQ3bt3UVRUBAcHB5V2BwcHZGRklLrNpUuXMGPGDBw+fBgGBqWHnpGRodGYABAZGYl58+aptSckJMDU1PRFqdQIiYmJ2g6hUlV9flq9e0yvKD4+vsr3qevvQUD3c9T1/ICan2NeXl65+2r9p7hMJlNZFkKotQFAUVERhg0bhnnz5qFx48YVMmaJiIgIhIeHK5ezs7Ph4uKCgIAAWFhYlCeNakuhUCAxMRH+/v4wNDTUdjgVTlv5VeV8Fap4ffv2rbJ96fp7END9HHU9P0B3ciy5g1MeWiuAbG1toa+vr3ZlJjMzU+0KDgA8evQIJ0+eREpKCiZPngwAKC4uhhACBgYGSEhIQPfu3eHo6FjuMUvI5XLI5XK1dkNDwxp9IjxNl3Ipja7nRxVLG+eKFM5RXc9R1/MDan6OmsSutUnQRkZG8PLyUrvclpiYCF9fX7X+FhYW+OOPP5Camqr8N3HiRDRp0gSpqanKJ7x8fHzUxkxISCh1TCIiIpImrd4CCw8Px4gRI+Dt7Q0fHx+sX78eaWlpmDhxIoAnt6Zu3bqFjRs3Qk9PDy1btlTZ3t7eHsbGxirtoaGh6Ny5M5YsWYIBAwbgp59+wp49e3DkyJEqzY2IiIiqL60WQIGBgcjKysL8+fORnp6Oli1bIj4+Hq6urgCA9PR0pKWlaTSmr68vNm/ejFmzZmH27Nlo0KAB4uLi+BlAREREpKT1SdAhISEICQkpdV1sbOxzt507dy7mzp2r1j548GAMHjy4AqIjIiIiXaT1r8IgIiIiqmosgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJEfrBVB0dDTc3d1hbGwMLy8vHD58uMy+R44cgZ+fH2xsbGBiYoKmTZtixYoVKn1iY2Mhk8nU/uXn51d2KkRERFRDGGhz53FxcQgLC0N0dDT8/Pywbt069OnTB+fOnUO9evXU+puZmWHy5Mlo1aoVzMzMcOTIEUyYMAFmZmYYP368sp+FhQUuXLigsq2xsXGl50NEREQ1g1YLoOXLlyM4OBhjx44FAERFRWH37t2IiYlBZGSkWn9PT094enoql93c3LB161YcPnxYpQCSyWRwdHSs/ASIiIioRtJaAfT48WMkJydjxowZKu0BAQE4evRoucZISUnB0aNHsXDhQpX2nJwcuLq6oqioCG3atMGCBQtUCqdnFRQUoKCgQLmcnZ0NAFAoFFAoFOVNqVoqib+m51EWXc+PKkdVni9SOEd1PUddzw/QnRw1iV9rBdDdu3dRVFQEBwcHlXYHBwdkZGQ8d9u6devizp07KCwsxNy5c5VXkACgadOmiI2NhYeHB7Kzs7Fy5Ur4+fnh9OnTaNSoUanjRUZGYt68eWrtCQkJMDU1fYnsqp/ExERth1Cpqj4/rV48pVcUHx9f5fvU9fcgoPs56np+QM3PMS8vr9x9tf5TXCaTqSwLIdTannX48GHk5OTg2LFjmDFjBho2bIihQ4cCADp27IiOHTsq+/r5+aFt27ZYvXo1Vq1aVep4ERERCA8PVy5nZ2fDxcUFAQEBsLCweNnUqgWFQoHExET4+/vD0NBQ2+FUOG3lF5qUUGX7oorXt2/fKtuXrr8HAd3PUdfzA3Qnx5I7OOWhtQLI1tYW+vr6ald7MjMz1a4KPcvd3R0A4OHhgX/++Qdz585VFkDP0tPTQ7t27XDp0qUyx5PL5ZDL5WrthoaGNfpEeJou5VIaXc+PKpY2zhUpnKO6nqOu5wfU/Bw1iV1rj8EbGRnBy8tL7XJbYmIifH19yz2OEEJl/k5p61NTU+Hk5PTSsRIREZFu0eotsPDwcIwYMQLe3t7w8fHB+vXrkZaWhokTJwJ4cmvq1q1b2LhxIwBgzZo1qFevHpo2bQrgyecCLVu2DFOmTFGOOW/ePHTs2BGNGjVCdnY2Vq1ahdTUVKxZs6bqEyQiIqJqSasFUGBgILKysjB//nykp6ejZcuWiI+Ph6urKwAgPT0daWlpyv7FxcWIiIjA1atXYWBggAYNGmDx4sWYMGGCss+DBw8wfvx4ZGRkwNLSEp6enjh06BDat29f5fkRERFR9aT1SdAhISEICQkpdV1sbKzK8pQpU1Su9pRmxYoVap8OTURERPQ0rX8VBhEREVFVYwFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIcrReAEVHR8Pd3R3Gxsbw8vLC4cOHy+x75MgR+Pn5wcbGBiYmJmjatClWrFih1m/Lli1o3rw55HI5mjdvjm3btlVmCkRERFTDaLUAiouLQ1hYGGbOnImUlBR06tQJffr0QVpaWqn9zczMMHnyZBw6dAjnz5/HrFmzMGvWLKxfv17ZJykpCYGBgRgxYgROnz6NESNGYMiQIfj999+rKi0iIiKq5rRaAC1fvhzBwcEYO3YsmjVrhqioKLi4uCAmJqbU/p6enhg6dChatGgBNzc3vPPOO+jVq5fKVaOoqCj4+/sjIiICTZs2RUREBHr06IGoqKgqyoqIiIiqOwNt7fjx48dITk7GjBkzVNoDAgJw9OjRco2RkpKCo0ePYuHChcq2pKQkTJs2TaVfr169nlsAFRQUoKCgQLmcnZ0NAFAoFFAoFOWKpboqib+m51EWXc+PKkdVni9SOEd1PUddzw/QnRw1iV9rBdDdu3dRVFQEBwcHlXYHBwdkZGQ8d9u6devizp07KCwsxNy5czF27FjluoyMDI3HjIyMxLx589TaExISYGpqWp50qr3ExERth1Cpqj4/rb11qALEx8dX+T51/T0I6H6Oup4fUPNzzMvLK3dfrf8Ul8lkKstCCLW2Zx0+fBg5OTk4duwYZsyYgYYNG2Lo0KEvPWZERATCw8OVy9nZ2XBxcUFAQAAsLCw0SafaUSgUSExMhL+/PwwNDbUdToXTVn6hSQlVti+qeH379q2yfen6exDQ/Rx1PT9Ad3IsuYNTHlorgGxtbaGvr692ZSYzM1PtCs6z3N3dAQAeHh74559/MHfuXGUB5OjoqPGYcrkccrlcrd3Q0LBGnwhP06VcSqPr+VHF0sa5IoVzVNdz1PX8gJqfoyaxa20StJGREby8vNQutyUmJsLX17fc4wghVObv+Pj4qI2ZkJCg0ZhERESk27R6Cyw8PBwjRoyAt7c3fHx8sH79eqSlpWHixIkAntyaunXrFjZu3AgAWLNmDerVq4emTZsCePK5QMuWLcOUKVOUY4aGhqJz585YsmQJBgwYgJ9++gl79uzBkSNHqj5BIiIiqpa0WgAFBgYiKysL8+fPR3p6Olq2bIn4+Hi4uroCANLT01U+E6i4uBgRERG4evUqDAwM0KBBAyxevBgTJkxQ9vH19cXmzZsxa9YszJ49Gw0aNEBcXBw6dOhQ5fkRERFR9aT1SdAhISEICQkpdV1sbKzK8pQpU1Su9pRl8ODBGDx4cEWER0RERDpI61+FQURERFTVWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDkaF0BXr16tjDiIiIiIqozGBVDDhg3RrVs3fPvtt8jPz6+MmIiIiIgqlcYF0OnTp+Hp6Yn33nsPjo6OmDBhAo4fP14ZsRERERFVCo0LoJYtW2L58uW4desWNmzYgIyMDLz22mto0aIFli9fjjt37lRGnEREREQV5qUnQRsYGGDQoEH4/vvvsWTJEly5cgXvv/8+6tati5EjRyI9Pb0i4yQiIiKqMC9dAJ08eRIhISFwcnLC8uXL8f777+PKlSvYt28fbt26hQEDBlRknEREREQVRuMCaPny5fDw8ICvry9u376NjRs34vr161i4cCHc3d3h5+eHdevW4dSpU+UaLzo6Gu7u7jA2NoaXlxcOHz5cZt+tW7fC398fdnZ2sLCwgI+PD3bv3q3SJzY2FjKZTO0fJ2wTERFRCY0LoJiYGAwbNgxpaWnYvn07Xn/9dejpqQ5Tr149fPnlly8cKy4uDmFhYZg5cyZSUlLQqVMn9OnTB2lpaaX2P3ToEPz9/REfH4/k5GR069YN/fv3R0pKiko/CwsLpKenq/wzNjbWNFUiIiLSUQaabnDp0qUX9jEyMkJQUNAL+y1fvhzBwcEYO3YsACAqKgq7d+9GTEwMIiMj1fpHRUWpLH/88cf46aefsGPHDnh6eirbZTIZHB0dX7h/IiIikiaNC6ANGzagVq1aeOutt1Taf/jhB+Tl5ZWr8AGAx48fIzk5GTNmzFBpDwgIwNGjR8s1RnFxMR49egRra2uV9pycHLi6uqKoqAht2rTBggULVAqkZxUUFKCgoEC5nJ2dDQBQKBRQKBTliqW6Kom/pudRFl3PjypHVZ4vUjhHdT1HXc8P0J0cNYlf4wJo8eLFWLt2rVq7vb09xo8fX+4C6O7duygqKoKDg4NKu4ODAzIyMso1xqefforc3FwMGTJE2da0aVPExsbCw8MD2dnZWLlyJfz8/HD69Gk0atSo1HEiIyMxb948tfaEhASYmpqWK5bqLjExUdshVKqqz0/jtw5VI/Hx8VW+T11/DwK6n6Ou5wfU/Bzz8vLK3Vfjn+LXr1+Hu7u7Wrurq2uZc3eeRyaTqSwLIdTaSrNp0ybMnTsXP/30E+zt7ZXtHTt2RMeOHZXLfn5+aNu2LVavXo1Vq1aVOlZERATCw8OVy9nZ2XBxcUFAQAAsLCw0TalaUSgUSExMhL+/PwwNDbUdToXTVn6hSQlVti+qeH379q2yfen6exDQ/Rx1PT9Ad3IsuYNTHhoXQPb29jhz5gzc3NxU2k+fPg0bG5tyj2Nrawt9fX21qz2ZmZlqV4WeFRcXh+DgYPzwww/o2bPnc/vq6emhXbt2z527JJfLIZfL1doNDQ1r9InwNF3KpTS6nh9VLG2cK1I4R3U9R13PD6j5OWoSu8ZPgb399tuYOnUq9u/fj6KiIhQVFWHfvn0IDQ3F22+/Xe5xjIyM4OXlpXa5LTExEb6+vmVut2nTJowaNQrfffcd+vXr98L9CCGQmpoKJyencsdGREREuk3jK0ALFy7E9evX0aNHDxgYPNm8uLgYI0eOxMcff6zRWOHh4RgxYgS8vb3h4+OD9evXIy0tDRMnTgTw5NbUrVu3sHHjRgBPip+RI0di5cqV6Nixo/LqkYmJCSwtLQEA8+bNQ8eOHdGoUSNkZ2dj1apVSE1NxZo1azRNlYiIiHSUxgWQkZER4uLisGDBApw+fRomJibw8PCAq6urxjsPDAxEVlYW5s+fj/T0dLRs2RLx8fHKsdLT01XmFa1btw6FhYWYNGkSJk2apGwPCgpCbGwsAODBgwcYP348MjIyYGlpCU9PTxw6dAjt27fXOD4iIiLSTS/9KEvjxo3RuHHjVw4gJCQEISEhpa4rKWpKHDhw4IXjrVixAitWrHjluIiIiEh3aVwAFRUVITY2Fnv37kVmZiaKi4tV1u/bt6/CgiMiIiKqDBoXQKGhoYiNjUW/fv3QsmXLcj2yTkRERFSdaFwAbd68Gd9//32Vfo4GERERUUXS+DF4IyMjNGzYsDJiISIiIqoSGhdA7733HlauXAkhRGXEQ0RERFTpNL4FduTIEezfvx87d+5EixYt1D51cevWrRUWHBEREVFl0LgAql27NgYNGlQZsRARERFVCY0LoA0bNlRGHERERERVRuM5QABQWFiIPXv2YN26dXj06BEA4Pbt28jJyanQ4IiIiIgqg8ZXgK5fv47evXsjLS0NBQUF8Pf3h7m5OT755BPk5+dj7dq1lREnERERUYXR+ApQaGgovL29cf/+fZiYmCjbBw0ahL1791ZocERERESV4aWeAvvtt99gZGSk0u7q6opbt25VWGBERERElUXjK0DFxcUoKipSa7958ybMzc0rJCgiIiKiyqRxAeTv74+oqCjlskwmQ05ODubMmcOvxyAiIqIaQeNbYCtWrEC3bt3QvHlz5OfnY9iwYbh06RJsbW2xadOmyoiRiIiIqEJpXAA5OzsjNTUVmzZtwqlTp1BcXIzg4GAMHz5cZVI0ERERUXWlcQEEACYmJhgzZgzGjBlT0fEQERERVTqNC6CNGzc+d/3IkSNfOhgiIiKiqqBxARQaGqqyrFAokJeXByMjI5iamrIAIiIiompP46fA7t+/r/IvJycHFy5cwGuvvcZJ0ERERFQjvNR3gT2rUaNGWLx4sdrVISIiIqLqqEIKIADQ19fH7du3K2o4IiIiokqj8Rygn3/+WWVZCIH09HR89tln8PPzq7DAiIiIiCqLxgXQwIEDVZZlMhns7OzQvXt3fPrppxUVFxEREVGl0bgAKi4urow4iIiIiKpMhc0BIiIiIqopNL4CFB4eXu6+y5cv13R4IiIiokqncQGUkpKCU6dOobCwEE2aNAEAXLx4Efr6+mjbtq2yn0wmq7goiYiIiCqQxgVQ//79YW5ujq+//hpWVlYAnnw44ujRo9GpUye89957FR4kERERUUXSeA7Qp59+isjISGXxAwBWVlZYuHAhnwIjIiKiGkHjAig7Oxv//POPWntmZiYePXpUIUERERERVSaNC6BBgwZh9OjR+PHHH3Hz5k3cvHkTP/74I4KDg/HGG29oHEB0dDTc3d1hbGwMLy8vHD58uMy+W7duhb+/P+zs7GBhYQEfHx/s3r1brd+WLVvQvHlzyOVyNG/eHNu2bdM4LiIiItJdGhdAa9euRb9+/fDOO+/A1dUVrq6uGD58OPr06YPo6GiNxoqLi0NYWBhmzpyJlJQUdOrUCX369EFaWlqp/Q8dOgR/f3/Ex8cjOTkZ3bp1Q//+/ZGSkqLsk5SUhMDAQIwYMQKnT5/GiBEjMGTIEPz++++apkpEREQ6SuNJ0KampoiOjsbSpUtx5coVCCHQsGFDmJmZabzz5cuXIzg4GGPHjgUAREVFYffu3YiJiUFkZKRa/6ioKJXljz/+GD/99BN27NgBT09PZR9/f39EREQAACIiInDw4EFERUXx2+qJiIgIwEsUQCXS09ORnp6Ozp07w8TEBEIIjR59f/z4MZKTkzFjxgyV9oCAABw9erRcYxQXF+PRo0ewtrZWtiUlJWHatGkq/Xr16qVWPD2toKAABQUFyuXs7GwAgEKhgEKhKFcs1VVJ/DU9j7Loen5UOaryfJHCOarrOep6foDu5KhJ/BoXQFlZWRgyZAj2798PmUyGS5cuoX79+hg7dixq165d7ifB7t69i6KiIjg4OKi0Ozg4ICMjo1xjfPrpp8jNzcWQIUOUbRkZGRqPGRkZiXnz5qm1JyQkwNTUtFyxVHeJiYnaDqFSVX1+L/23A1UD8fHxVb5PXX8PArqfo67nB9T8HPPy8srdV+Of4tOmTYOhoSHS0tLQrFkzZXtgYCCmTZum8aPwz141Ku+VpE2bNmHu3Ln46aefYG9v/0pjRkREqHzCdXZ2NlxcXBAQEAALC4vypFFtKRQKJCYmwt/fH4aGhtoOp8JpK7/QpIQq2xdVvL59+1bZvnT9PQjofo66nh+gOzmW3MEpD40LoISEBOzevRt169ZVaW/UqBGuX79e7nFsbW2hr6+vdmUmMzNT7QrOs+Li4hAcHIwffvgBPXv2VFnn6Oio8ZhyuRxyuVyt3dDQsEafCE/TpVxKo+v5UcXSxrkihXNU13PU9fyAmp+jJrFr/BRYbm5uqbeF7t69W2oRURYjIyN4eXmpXW5LTEyEr69vmdtt2rQJo0aNwnfffYd+/fqprffx8VEbMyEh4bljEhERkbRoXAB17twZGzduVC7LZDIUFxdj6dKl6Natm0ZjhYeH44svvsBXX32F8+fPY9q0aUhLS8PEiRMBPLk1NXLkSGX/TZs2YeTIkfj000/RsWNHZGRkICMjAw8fPlT2CQ0NRUJCApYsWYK//voLS5YswZ49exAWFqZpqkRERKSjNL4FtnTpUnTt2hUnT57E48eP8eGHH+LPP//EvXv38Ntvv2k0VmBgILKysjB//nykp6ejZcuWiI+Ph6urK4AnT5o9/ZlA69atQ2FhISZNmoRJkyYp24OCghAbGwsA8PX1xebNmzFr1izMnj0bDRo0QFxcHDp06KBpqkRERKSjNC6AmjdvjjNnziAmJgb6+vrIzc3FG2+8gUmTJsHJyUnjAEJCQhASElLqupKipsSBAwfKNebgwYMxePBgjWMhIiIiadCoAFIoFAgICMC6detKfWyciIiIqCbQaA6QoaEhzp49q9EHHhIRERFVNxpPgh45ciS+/PLLyoiFiIiIqEpoPAfo8ePH+OKLL5CYmAhvb2+17wBbvnx5hQVHREREVBnKVQCdOXMGLVu2hJ6eHs6ePYu2bdsCAC5evKjSj7fGiIiIqCYoVwHk6emJ9PR02Nvb4/r16zhx4gRsbGwqOzYiIiKiSlGuOUC1a9fG1atXAQDXrl1DcXFxpQZFREREVJnKdQXozTffRJcuXeDk5ASZTAZvb2/o6+uX2vfvv/+u0ACJiIiIKlq5CqD169fjjTfewOXLlzF16lSMGzcO5ubmlR0bERERUaUo91NgvXv3BgAkJycjNDSUBRARERHVWBo/Br9hw4bKiIOIiIioymj8QYhERERENR0LICIiIpIcFkBEREQkOSyAiIiISHJYABEREZHksAAiIiIiyWEBRERERJLDAoiIiIgkhwUQERERSQ4LICIiIpIcFkBEREQkOSyAiIiISHJYABEREZHksAAiIiIiyWEBpMOio6PRuHFjvPXWW+jQoQMOHz6s7ZDK7dChQ+jfvz+cnZ0hk8mwfft25TqFQoHp06fDw8MDtWvXxujRozF69Gjcvn1bbZykpCR0794dZmZmqF27Nrp27Yp///23CjMpXXFBHu7tWY+bMaOR9ukbyPjmfRSkX/y/9Y//xb3EGNxcE4S0T9/Arc8n4lFKvMoYolCBe4lrcWPVMKQtfxOZW+ajMPtuVadSphfl+ODI/3Dr84lIW/4mbkQF4p/NM1Fw+4LKGFm7PsOtdWOR9ukbuLFqGDK3LIAi60ZVp6ImMjIS7dq1g7m5Oezt7TFw4EBcuKAa+9atW9GrVy84OTlh4MCBSE1NVRtnwoQJaNCgAUxMTGBnZ4cBAwbgr7/+qqIsXk1kZCRkMhnCwsKUbcHBwZDJZCr/OnbsqL0gK8CjR4/w3nvvYdy4cbCwsICvry9OnDih7bAqRExMDFq1agULCwvY2Nhg+vTp2LVrl7bDqjIsgHRUXFwcwsLCMGPGDCxfvhyvvfYa+vTpg7S0NG2HVi65ublo3bo1PvvsM7V1eXl5OHXqFGbPno3ff/8dM2bMwKVLl/Cf//xHpV9SUhJ69+6NgIAAHD9+HCdOnMDkyZOhp6f90z5r12rkX0uF7evvwWnMZzB298Q/m2eh8NGTAub+3s/x79+nYNv/PTiPjYFFu4G4l7gWeZeOKce4t3c98i4mwfY/H8Jx+CcofpyPzC3zIIqLtJWWihflaGhdB9b+E+E0Zg0chn8CA0sH/BM3G0V5D5VjGDk2hE3fMDiPjYH9kPkABP6J+0jrOR48eBCTJk3CsWPHkJiYiMLCQgQEBCA3N1fZJzc3F35+fli0aFGZ43h5eWHDhg04f/48du/eDSEEAgICUFRUPV7Dspw4cQLr169Hq1at1Nb17t0b6enpyn/x8fGljFBzjB07Fnv27EFYWBhOnTqFgIAA9OzZE7du3dJ2aK+sbt26WLx4MU6ePImkpCR4eHjgzTffxJ9//qnt0KqETAghtB1EdZOdnQ1LS0s8fPgQFhYW2g7npXTo0AFt27bFqlWrEB8fj759+6JVq1YYOHAgIiMjtR2eRmQyGbZt24aBAweqrVMoFIiPj4e9vT18fX1x/fp11KtXDwDQsWNH+Pv7Y8GCBRUek9uMX19622JFAW6seAt2b86GaYN2yvbbG6bApEF7WHUegdtfhsC0aSfU9huqXJ8eGwqT+t6o3XkEigtycWPVcNi+Hg6zZp0BAIWPsnArZjTsB8+BSX2vl0+uApQnR7VtCvJwI2oI7AMXwsStTanjPs68ivQNU+A8/nMYWjm9dHzXFvd76W1Lc+fOHdjb2+PgwYPo3LmzyrpLly6hcePGOH78ONq1a1fGCE+cOXMGrVu3xuXLl9GgQYMKjbGi5OTkoG3btoiOjsbChQvRpk0bLF26FPHx8diyZQuys7NVrtjWZP/++y/Mzc2xZcsWAEDfvn1haGiINm3a4PXXX8fChQu1HGHFKflZOnr0aCxduhTBwcHaDumlaPL7W/t/ClOFe/z4MZKTkxEQEKDSHhAQgKNHj2opqsr18OFDyGQy1K5dGwCQmZmJ33//XVkYOTg4oEuXLjhy5Ih2AwWA4iJAFEOmb6jSLDMwQsHNJ395yes2x7+Xj6Pw0V0IIZB//QwU92/DuH5bAEBBxmWguBDG7m2V2xuY28DQth4KblWDWyjlyPFpokiBR6m7IJObwcjevfQhH+cj5489MLB0gIGFbaWE/bIePnxy1cra2vqlx8jNzcWGDRvg7u4OFxeXigqtwk2aNAn9+vVDz549S11/4MAB2Nvbo3Hjxhg3bhwyMzOrOMKKU1hYiKKiIhgbG6u0m5iYVI+fJRWoqKgIhw8fRm5uLnx8fLQdTpUw0HYAVPHu3r2LoqIiODg4qLQ7ODggIyNDS1FVnsePH2P+/PkYNmyYsuL/+++/AQBz587FsmXL0KZNG2zcuBE9evTA2bNn0ahRI63Fqyc3hdy5KR4e3QxDGxfom9VG7vlDeHz7IgysnQEA1j0nIGvXatyKHgXo6QMyGWx6T4Vx3RYAgOLc+4C+AfSNa6mMrW9mhaLc+1Wdkpry5AgAeZeP4+7Pn0AoCqBfywoOgQugb2qpMtajU7/i/oENEIp8GFjXhX3gQrXCSpuEEAgPD8drr72Gli1barx9dHQ0PvzwQ+Tm5qJp06ZITEyEkZFRJUT66jZv3ozk5GScPHmy1PW9evVCYGAgXF1dcfXqVcyePRvdu3dHcnIy5HJ5FUf76szNzeHj44OPP/4Yo0aNQlFREeLi4vD7779r9WdIRfrjjz/g4+OD/Px8yOVy/PDDD2jevLm2w6oSWr8CFB0dDXd3dxgbG8PLy+u5E3XT09MxbNgwNGnSBHp6eiqT70rExsaqTcKTyWTIz8+vxCyqJ5lMprIshFBrq+kUCgWWLVuG4uJiREdHK9uLi4sBPJlkOnr0aHh6emLFihVo0qQJvvrqK22Fq2Tz+nsAgFvRQUhbNgiPkn+GWfMukMmevCWzT+5Awe0LsHtzNpyComDVLRj3EmPw77XU5w8sBFBNXuIX5QgAxvVawWn0Kji+sxTG7l6489MSFOU+UBnHrEVXOI1aCYdhi2Fo7Yy7Py2GKHxclak81+TJk3HmzBls2rTppbYfPnw4UlJScPDgQTRq1AhDhgyplj+vbty4gdDQUPzvf/9TuyJSYsiQIejXrx9atmyJ/v37Y+fOnbh48SJ+/fXlbxlr2zfffAMhBMaMGYNatWph1apVGDZsGPT19bUdWoVo0qQJUlNTceTIEfTp0wfBwcE4d+6ctsOqElotgEom6s6cORMpKSno1KnTcyfqFhQUwM7ODjNnzkTr1q3LHNfCwkJlEl56enqZb1hdZGtrC319fbWrPZmZmWpXhWoyhUKBoUOHIjMzEzt37lS53+vk9GR+yLN/yTRr1qxaTAQ3tHKC47DFcJn2I+qExMJp5AqI4iIYWDqgWFGAB4c2wqr7WJg27AAje3dYePWHWdNOyD6+FQCgZ2YFFBWiKD9HZdyivAfQN7XSRkpqnpdjCT0jYxhaOUNepyls+4ZCpqeHnDMJKuPoyc1gaF0Hxi4tYTcwAop7N5F3Mamq0ynVlClT8PPPP2P//v2oW7fuS41haWmJRo0aoXPnzvjxxx/x119/Ydu2bRUc6atLTk5GZmYmvLy8YGBgAAMDAxw8eBCrVq2CiYlJqRO3nZyc4OrqikuXLmkh4orRoEED7N27F5s3b8bff/+N48ePQ6FQwN299Fu1NY2RkREaNmwILy8vjBgxAq1atcLKlSu1HVaV0GoBtHz5cgQHB2Ps2LFo1qwZoqKi4OLigpiYmFL7u7m5YeXKlRg5ciQsLS1L7QM8ufLh6Oio8k9KjIyM4OXlhcTERJX2xMRE+Pr6aimqiqVQKDBkyBBcvnwZ8+bNg42Njcp6Nzc3ODs7qz2afPHiRbi6ulZlqM+lZ2QMg1rWKMrPwb9XT8GkUccn82eKCyF79lKOTO/JFR4AcseGgJ4B8q+mKFcX5tyD4m4a5HWaVmUKL1RqjmURT+YDPVd5+lQyIQQmT56MrVu3Yt++fRX6y1AIgYKCggobr6L06NEDf/zxB1JTU5X/vL29MXz4cJw4caLUKyJZWVm4ceOG8g+SmszY2BhOTk64f/8+du/ejQEDBmg7pEpRXc+/yqC1OUAlE3VnzJih0l4RE3VzcnLg6uqKoqIitGnTBgsWLICnp2eZ/QsKClRe8OzsbABPfskqFNr9Qfuypk6ditGjR8PDwwNFRUWYNm0a0tLSEBwcXCNyysnJweXLl5XLly9fxokTJ2BtbQ1nZ2cMGTIEqamp+OGHH/DXX3/hxo0bMDQ0hLW1tXL+RHh4OObPn48WLVqgdevW+Oabb/DXX39h06ZNWj8G//6dDAAwsK6DwvvpuH/gKxha10Etj56Q6RtA7tIS9w98BZmhEfQt7FFw4yxy/9wHq+5jATy5KlKrlT/u7/8Seibm0Dcxx/39X8LQzhXGZTxBVdWel2Px43w8TIqDacMO0K9ljaJ/s5GTEo/CR3dh2uQ1AIDiQQbyzh+CsXtb6JtaoOhRFh7+vgUyAyOY1Pd+pdhe9fWfMmUKNm/ejC1btsDY2Bg3bjz5bCJLS0uYmJgAAO7du4e0tDTluvPnzwOA8o+yv//+Gz/88AP8/f1ha2uL27dvY+nSpTAxMYG/v7/Wz9FnGRsbo0mTJiptpqamsLKyQpMmTXDhwgW8//77GDx4MBwdHXH9+nXMnj0btra2eP3116tdPuWVkJAAhUKBzMxM7Nq1C7NmzULjxo3xzjvv1NicSsyaNQu9e/dG3bp1cf/+fXz77bc4ePAgfvnllxqbmyZxa+0x+Nu3b6NOnTr47bffVK5KfPzxx/j666/V/nJ/VteuXdGmTRtERUWptB87dgyXL1+Gh4cHsrOzsXLlSsTHx+P06dNlTlqbO3cu5s2bp9b+3XffwdTUVPPkqon4+Hhs27YN9+/fR7169RAcHIwWLVpoO6xy+eOPPzB79my19m7duuHtt9/GhAkTSt1uwYIF8PDwUC5v2bIF8fHxyMnJgZubG4KCgipkgl9o0qv97ZB7/jAeHPoahY/uQt/YHKZNfFG780joyc0AAEU593H/4NfIv3YKxfk50Lewh3nrXjBvN1A5j0sUPsb9/V8h99xBiMLHMHZtBeuAEBhY2L1yfhXheTmKwse4s2MpHt++gKJ/s6FvYgEjx0aw9A2E3KkxgCeP9WftWoXHGVeeHAOz2pC7tEBt36EwtHm5200lVvoUvtL2pX0kA/CkMOrRowcAYO/evVi9erVan8DAQAwdOhT37t3DZ599hitXriA3NxeWlpZo0aIFAgMDUadOnVeKr6rMnDkT7u7uGDt2LAoKChAZGYmrV68iNzcXVlZWaNmyJYYNGwY7u+pxTr6MI0eO4JtvvkFWVpZyUvTw4cNhZmam7dBe2erVq3HmzBncv38fZmZmcHV1xRtvvIE2bdpoO7SXlpeXh2HDhpXrMXitF0BHjx5VeeRu0aJFyr/Un6esAuhZxcXFaNu2LTp37oxVq1aV2qe0K0AuLi64e/dujf0coBIKhQKJiYnw9/eHoWH1eXKmomgrv0azE17ciaqtSwsCXtypguj6exDQ/Rx1PT9Ad3LMzs6Gra1tuQogrd0Cq6qJunp6emjXrt1zJ+HJ5fJSH9E0NDSs0SfC03Qpl9Loen5UsbRxrkjhHNX1HHU9P6Dm56hJ7FqbBF1VE3WFEEhNTdWJSXhERERUMbT6QYjh4eEYMWIEvL294ePjg/Xr1yMtLQ0TJ04EAERERODWrVvYuHGjcpuSLxTMycnBnTt3kJqaCiMjI+W8jnnz5qFjx45o1KgRsrOzsWrVKqSmpmLNmjVVnh8RERFVT1otgAIDA5GVlYX58+cjPT0dLVu2RHx8vPIx5fT0dLXPbHn6aa7k5GR89913cHV1xbVr1wAADx48wPjx45GRkQFLS0t4enri0KFDaN++fZXlRURERNWb1r8KIyQkBCEhIaWui42NVWt70ZztFStWYMWKFRURGhEREekorX8VBhEREVFVYwFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5LICIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQERERCQ5Wi+AoqOj4e7uDmNjY3h5eeHw4cNl9k1PT8ewYcPQpEkT6OnpISwsrNR+W7ZsQfPmzSGXy9G8eXNs27atkqInIiKimkirBVBcXBzCwsIwc+ZMpKSkoFOnTujTpw/S0tJK7V9QUAA7OzvMnDkTrVu3LrVPUlISAgMDMWLECJw+fRojRozAkCFD8Pvvv1dmKkRERFSDaLUAWr58OYKDgzF27Fg0a9YMUVFRcHFxQUxMTKn93dzcsHLlSowcORKWlpal9omKioK/vz8iIiLQtGlTREREoEePHoiKiqrETIiIiKgm0VoB9PjxYyQnJyMgIEClPSAgAEePHn3pcZOSktTG7NWr1yuNSURERLrFQFs7vnv3LoqKiuDg4KDS7uDggIyMjJceNyMjQ+MxCwoKUFBQoFzOzs4GACgUCigUipeOpTooib+m51EWXc+PKkdVni9SOEd1PUddzw/QnRw1iV9rBVAJmUymsiyEUGur7DEjIyMxb948tfaEhASYmpq+UizVRWJiorZDqFRVn5/W3zr0CuLj46t8n7r+HgR0P0ddzw+o+Tnm5eWVu6/Wforb2tpCX19f7cpMZmam2hUcTTg6Omo8ZkREBMLDw5XL2dnZcHFxQUBAACwsLF46lupAoVAgMTER/v7+MDQ01HY4FU5b+YUmJVTZvqji9e3bt8r2pevvQUD3c9T1/ADdybHkDk55aK0AMjIygpeXFxITEzFo0CBle2JiIgYMGPDS4/r4+CAxMRHTpk1TtiUkJMDX17fMbeRyOeRyuVq7oaFhjT4RnqZLuZRG1/OjiqWNc0UK56iu56jr+QE1P0dNYtfqdfzw8HCMGDEC3t7e8PHxwfr165GWloaJEycCeHJl5tatW9i4caNym9TUVABATk4O7ty5g9TUVBgZGaF58+YAgNDQUHTu3BlLlizBgAED8NNPP2HPnj04cuRIledHRERE1ZNWC6DAwEBkZWVh/vz5SE9PR8uWLREfHw9XV1cATz748NnPBPL09FT+Pzk5Gd999x1cXV1x7do1AICvry82b96MWbNmYfbs2WjQoAHi4uLQoUOHKsuLiIiIqjetz+QMCQlBSEhIqetiY2PV2oQQLxxz8ODBGDx48KuGRkRERDpK6wUQEVFVc5vxaxXv0aDKJ85fW9yvSvdHVNNo/bvAiIiIiKoaCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIskx0HYA0dHRWLp0KdLT09GiRQtERUWhU6dOZfY/ePAgwsPD8eeff8LZ2RkffvghJk6cqFwfGxuL0aNHq23377//wtjYuFJyIFVuM36t4j0aIDQpoYr3SURENZlWrwDFxcUhLCwMM2fOREpKCjp16oQ+ffogLS2t1P5Xr15F37590alTJ6SkpOC///0vpk6dii1btqj0s7CwQHp6uso/Fj9ERERUQqtXgJYvX47g4GCMHTsWABAVFYXdu3cjJiYGkZGRav3Xrl2LevXqISoqCgDQrFkznDx5EsuWLcObb76p7CeTyeDo6FglORAREVHNo7UC6PHjx0hOTsaMGTNU2gMCAnD06NFSt0lKSkJAQIBKW69evfDll19CoVDA0NAQAJCTkwNXV1cUFRWhTZs2WLBgATw9PcuMpaCgAAUFBcrl7OxsAIBCoYBCoXip/KqLkvhreh5EpJmqfM/r+s8ZXc8P0J0cNYlfawXQ3bt3UVRUBAcHB5V2BwcHZGRklLpNRkZGqf0LCwtx9+5dODk5oWnTpoiNjYWHhweys7OxcuVK+Pn54fTp02jUqFGp40ZGRmLevHlq7QkJCTA1NX3JDKuXxMTEKtyb1qeWEUlefHx8le+zan/OVD1dzw+o+Tnm5eWVu6/Wf1PJZDKVZSGEWtuL+j/d3rFjR3Ts2FG53s/PD23btsXq1auxatWqUseMiIhAeHi4cjk7OxsuLi4ICAiAhYWFZglVMwqFAomJifD391deIatsnJBMpH19+/atsn1p4+dMVdL1/ADdybHkDk55aK0AsrW1hb6+vtrVnszMTLWrPCUcHR1L7W9gYAAbG5tSt9HT00O7du1w6dKlMmORy+WQy+Vq7YaGhjX6RHiaLuVCRC+mjfe7rv+c0fX8gJqfoyaxa+0pMCMjI3h5ealdbktMTISvr2+p2/j4+Kj1T0hIgLe3d5lJCyGQmpoKJyenigmciIiIajytPgYfHh6OL774Al999RXOnz+PadOmIS0tTfm5PhERERg5cqSy/8SJE3H9+nWEh4fj/Pnz+Oqrr/Dll1/i/fffV/aZN28edu/ejb///hupqakIDg5GamqqymcFERERkbRpdQ5QYGAgsrKyMH/+fKSnp6Nly5aIj4+Hq6srACA9PV3lM4Hc3d0RHx+PadOmYc2aNXB2dsaqVatUHoF/8OABxo8fj4yMDFhaWsLT0xOHDh1C+/btqzw/IiIiqp60Pgk6JCQEISEhpa6LjY1Va+vSpQtOnTpV5ngrVqzAihUrKio8IiIi0kH8LjAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyDLQdABERVTy3Gb9W8R4NEJqUUGV7u7a4X5Xti3QTrwARERGR5LAAIiIiIslhAURERESSwwKIiIiIJIcFEBEREUkOCyAiIiKSHBZAREREJDksgIiIiEhyWAARERGR5LAAIiIiIsnRegEUHR0Nd3d3GBsbw8vLC4cPH35u/4MHD8LLywvGxsaoX78+1q5dq9Zny5YtaN68OeRyOZo3b45t27ZVVvhERERUA2n1u8Di4uIQFhaG6Oho+Pn5Yd26dejTpw/OnTuHevXqqfW/evUq+vbti3HjxuHbb7/Fb7/9hpCQENjZ2eHNN98EACQlJSEwMBALFizAoEGDsG3bNgwZMgRHjhxBhw4dqjpFIiKqBPyuM3pVMiGE0NbOO3TogLZt2yImJkbZ1qxZMwwcOBCRkZFq/adPn46ff/4Z58+fV7ZNnDgRp0+fRlJSEgAgMDAQ2dnZ2Llzp7JP7969YWVlhU2bNpUrruzsbFhaWuLhw4ewsLB42fSqBYVCgfj4ePTt2xeGhoZVss+q/8FERKRbqroA0sbvisqgye9vrd0Ce/z4MZKTkxEQEKDSHhAQgKNHj5a6TVJSklr/Xr164eTJk1AoFM/tU9aYREREJD1auwV29+5dFBUVwcHBQaXdwcEBGRkZpW6TkZFRav/CwkLcvXsXTk5OZfYpa0wAKCgoQEFBgXL54cOHAIB79+4pC6uaSqFQIC8vD1lZWTW6qicikhLtXEmv2tt8yR90rPAxHz16BAAoz80trc4BAgCZTKayLIRQa3tR/2fbNR0zMjIS8+bNU2t3d3cvO3AiIiJ6abZLKm/sR48ewdLS8rl9tFYA2draQl9fX+3KTGZmptoVnBKOjo6l9jcwMICNjc1z+5Q1JgBEREQgPDxcuVxcXIx79+7BxsbmuYVTTZCdnQ0XFxfcuHGjxs9nKo2u5wfofo7Mr+bT9Rx1PT9Ad3IUQuDRo0dwdnZ+YV+tFUBGRkbw8vJCYmIiBg0apGxPTEzEgAEDSt3Gx8cHO3bsUGlLSEiAt7e38vaOj48PEhMTMW3aNJU+vr6+ZcYil8shl8tV2mrXrq1pStWahYVFjT6pX0TX8wN0P0fmV/Ppeo66nh+gGzm+6MpPCa3eAgsPD8eIESPg7e0NHx8frF+/HmlpaZg4cSKAJ1dmbt26hY0bNwJ48sTXZ599hvDwcIwbNw5JSUn48ssvVZ7uCg0NRefOnbFkyRIMGDAAP/30E/bs2YMjR45oJUciIiKqfrRaAAUGBiIrKwvz589Heno6WrZsifj4eLi6ugIA0tPTkZaWpuzv7u6O+Ph4TJs2DWvWrIGzszNWrVql/AwgAPD19cXmzZsxa9YszJ49Gw0aNEBcXBw/A4iIiIiUtD4JOiQkBCEhIaWui42NVWvr0qULTp069dwxBw8ejMGDB1dEeDWeXC7HnDlz1G7x6Qpdzw/Q/RyZX82n6znqen6ANHJ8llY/CJGIiIhIG7T+XWBEREREVY0FEBEREUkOCyAiIiKSHBZAREREJDksgHTUoUOH0L9/fzg7O0Mmk2H79u3aDqlCRUZGol27djA3N4e9vT0GDhyICxcuaDusChMTE4NWrVopP5TMx8cHO3fu1HZYlSYyMhIymQxhYWHaDqXCzJ07FzKZTOWfo6OjtsOqULdu3cI777wDGxsbmJqaok2bNkhOTtZ2WBXGzc1N7TWUyWSYNGmStkOrEIWFhZg1axbc3d1hYmKC+vXrY/78+SguLtZ2aFVC64/BU+XIzc1F69atMXr0aJXPSdIVBw8exKRJk9CuXTsUFhZi5syZCAgIwLlz52BmZqbt8F5Z3bp1sXjxYjRs2BAA8PXXX2PAgAFISUlBixYttBxdxTpx4gTWr1+PVq1aaTuUCteiRQvs2bNHuayvr6/FaCrW/fv34efnh27dumHnzp2wt7fHlStXdOpT9E+cOIGioiLl8tmzZ+Hv74+33npLi1FVnCVLlmDt2rX4+uuv0aJFC5w8eRKjR4+GpaUlQkNDtR1epWMBpKP69OmDPn36aDuMSrNr1y6V5Q0bNsDe3h7Jycno3LmzlqKqOP3791dZXrRoEWJiYnDs2DGdKoBycnIwfPhwfP7551i4cKG2w6lwBgYGOnfVp8SSJUvg4uKCDRs2KNvc3Ny0F1AlsLOzU1levHgxGjRogC5dumgpooqVlJSEAQMGoF+/fgCevH6bNm3CyZMntRxZ1eAtMNIJDx8+BABYW1trOZKKV1RUhM2bNyM3Nxc+Pj7aDqdCTZo0Cf369UPPnj21HUqluHTpEpydneHu7o63334bf//9t7ZDqjA///wzvL298dZbb8He3h6enp74/PPPtR1WpXn8+DG+/fZbjBkzpsZ/SXaJ1157DXv37sXFixcBAKdPn8aRI0fQt29fLUdWNXgFiGo8IQTCw8Px2muvoWXLltoOp8L88ccf8PHxQX5+PmrVqoVt27ahefPm2g6rwmzevBnJyck6+9dmhw4dsHHjRjRu3Bj//PMPFi5cCF9fX/z555+wsbHRdniv7O+//0ZMTAzCw8Px3//+F8ePH8fUqVMhl8sxcuRIbYdX4bZv344HDx5g1KhR2g6lwkyfPh0PHz5E06ZNoa+vj6KiIixatAhDhw7VdmhVggUQ1XiTJ0/GmTNndO4Lb5s0aYLU1FQ8ePAAW7ZsQVBQEA4ePKgTRdCNGzcQGhqKhIQEGBsbazucSvH0LWgPDw/4+PigQYMG+PrrrxEeHq7FyCpGcXExvL298fHHHwMAPD098eeffyImJkYnC6Avv/wSffr0gbOzs7ZDqTBxcXH49ttv8d1336FFixZITU1FWFgYnJ2dERQUpO3wKh0LIKrRpkyZgp9//hmHDh1C3bp1tR1OhTIyMlJOgvb29saJEyewcuVKrFu3TsuRvbrk5GRkZmbCy8tL2VZUVIRDhw7hs88+Q0FBgU5NGAYAMzMzeHh44NKlS9oOpUI4OTmpFePNmjXDli1btBRR5bl+/Tr27NmDrVu3ajuUCvXBBx9gxowZePvttwE8KdSvX7+OyMhIFkBE1ZUQAlOmTMG2bdtw4MABuLu7azukSieEQEFBgbbDqBA9evTAH3/8odI2evRoNG3aFNOnT9e54gcACgoKcP78eXTq1EnboVQIPz8/tY+euHjxIlxdXbUUUeUpeciiZLKwrsjLy4OenupUYH19fT4GTzVbTk4OLl++rFy+evUqUlNTYW1tjXr16mkxsooxadIkfPfdd/jpp59gbm6OjIwMAIClpSVMTEy0HN2r++9//4s+ffrAxcUFjx49wubNm3HgwAG1p99qKnNzc7X5WmZmZrCxsdGZeVzvv/8++vfvj3r16iEzMxMLFy5Edna2zvxlPW3aNPj6+uLjjz/GkCFDcPz4caxfvx7r16/XdmgVqri4GBs2bEBQUBAMDHTrV2b//v2xaNEi1KtXDy1atEBKSgqWL1+OMWPGaDu0qiFIJ+3fv18AUPsXFBSk7dAqRGm5ARAbNmzQdmgVYsyYMcLV1VUYGRkJOzs70aNHD5GQkKDtsCpVly5dRGhoqLbDqDCBgYHCyclJGBoaCmdnZ/HGG2+IP//8U9thVagdO3aIli1bCrlcLpo2bSrWr1+v7ZAq3O7duwUAceHCBW2HUuGys7NFaGioqFevnjA2Nhb169cXM2fOFAUFBdoOrUrIhBBCO6UXERERkXbwc4CIiIhIclgAERERkeSwACIiIiLJYQFEREREksMCiIiIiCSHBRARERFJDgsgIiIikhwWQEQS07VrV4SFhWk7DCUhBMaPHw9ra2vIZDKkpqZqOyTJi42NRe3atStl7Llz56JNmzaVMjaRJlgAEZFW7dq1C7Gxsfjll1+Qnp6uM1+FUZMFBgbi4sWL2g6DqFLp1hebEJFWFBUVQSaTqX2xYnlcuXIFTk5O8PX1rYTIdIdCoYChoWGV7MvExOS536lXlbEQVRZeASLSgq5du2Lq1Kn48MMPYW1tDUdHR8ydO1e5/tq1a2q3gx48eACZTIYDBw4AAA4cOACZTIbdu3fD09MTJiYm6N69OzIzM7Fz5040a9YMFhYWGDp0KPLy8lT2X1hYiMmTJ6N27dqwsbHBrFmz8PS34jx+/Bgffvgh6tSpAzMzM3To0EG5X+D/bpH88ssvaN68OeRyOa5fv15qrgcPHkT79u0hl8vh5OSEGTNmoLCwEAAwatQoTJkyBWlpaZDJZHBzcyvzmH3++edwcXGBqakpBg0ahOXLl6vcphk1ahQGDhyosk1YWBi6du2qXBZC4JNPPkH9+vVhYmKC1q1b48cff1Suv3//PoYPHw47OzuYmJigUaNG2LBhg/KYTJ48GU5OTjA2NoabmxsiIyOV2z58+BDjx4+Hvb09LCws0L17d5w+fVq5/vTp0+jWrRvMzc1hYWEBLy8vnDx5ssx8ZTIZ1q5diwEDBsDMzAwLFy4EAOzYsQNeXl4wNjZG/fr1MW/ePOXxBIBLly6hc+fOMDY2RvPmzZGYmAiZTIbt27cD+L/z5sGDB8ptUlNTIZPJcO3aNQDqt8BKblt99dVXqF+/PuRyOYQQL8wZABYvXgwHBweYm5sjODgY+fn5ZeZMVJV4BYhIS77++muEh4fj999/R1JSEkaNGgU/Pz/4+/trNM7cuXPx2WefwdTUFEOGDMGQIUMgl8vx3XffIScnB4MGDcLq1asxffp0lX0HBwfj999/x8mTJzF+/Hi4urpi3LhxAIDRo0fj2rVr2Lx5M5ydnbFt2zb07t0bf/zxBxo1agQAyMvLQ2RkJL744gvY2NjA3t5eLbZbt26hb9++GDVqFDZu3Ii//voL48aNg7GxMebOnYuVK1eiQYMGWL9+PU6cOAF9ff1Sc/ztt98wceJELFmyBP/5z3+wZ88ezJ49W6PjBACzZs3C1q1bERMTg0aNGuHQoUN45513YGdnhy5dumD27Nk4d+4cdu7cCVtbW1y+fBn//vsvAGDVqlX4+eef8f3336NevXq4ceMGbty4AeBJYdWvXz9YW1sjPj4elpaWWLduHXr06IGLFy/C2toaw4cPh6enJ2JiYqCvr4/U1NQXXkWZM2cOIiMjsWLFCujr62P37t145513sGrVKnTq1AlXrlzB+PHjlX2Li4vxxhtvwNbWFseOHUN2dnaFzfe6fPkyvv/+e2zZskX5Or0o5++//x5z5szBmjVr0KlTJ3zzzTdYtWoV6tevXyExEb0SLX4RK5FkdenSRbz22msqbe3atRPTp08XQghx9epVAUCkpKQo19+/f18AEPv37xdCCLF//34BQOzZs0fZJzIyUgAQV65cUbZNmDBB9OrVS2XfzZo1E8XFxcq26dOni2bNmgkhhLh8+bKQyWTi1q1bKvH16NFDRERECCGE2LBhgwAgUlNTn5vnf//7X9GkSROVfa1Zs0bUqlVLFBUVCSGEWLFihXB1dX3uOIGBgaJfv34qbcOHDxeWlpbK5aCgIDFgwACVPqGhoaJLly5CCCFycnKEsbGxOHr0qEqf4OBgMXToUCGEEP379xejR48uNYYpU6aI7t27q+RSYu/evcLCwkLk5+ertDdo0ECsW7dOCCGEubm5iI2NfW6eTwMgwsLCVNo6deokPv74Y5W2b775Rjg5OQkhnnxzub6+vrhx44Zy/c6dOwUAsW3bNiHE/5039+/fV/ZJSUkRAMTVq1eFEE9e36eP7Zw5c4ShoaHIzMzUKGcfHx8xceJElfUdOnQQrVu3LvdxIKosvAVGpCWtWrVSWXZyckJmZuYrjePg4ABTU1OVv7AdHBzUxu3YsSNkMply2cfHB5cuXUJRURFOnToFIQQaN26MWrVqKf8dPHgQV65cUW5jZGSklsOzzp8/Dx8fH5V9+fn5IScnBzdv3ix3jhcuXED79u1V2p5dfpFz584hPz8f/v7+Knlt3LhRmde7776LzZs3o02bNvjwww9x9OhR5fajRo1CamoqmjRpgqlTpyIhIUG5Ljk5GTk5ObCxsVEZ++rVq8qxw8PDMXbsWPTs2ROLFy9WOZZl8fb2VllOTk7G/PnzVfYxbtw4pKenIy8vD+fPn0e9evVQt25d5TY+Pj4aHaeyuLq6ws7OTqOcS17/p1VUPESvirfAiLTk2dsfMpkMxcXFAKCcTCyempejUCheOI5MJnvuuOVRXFwMfX19JCcnq92SqlWrlvL/JiYmKoVNaYQQan1KcnrRtuUdp4Senp5a29PHrOQY/Prrr6hTp45KP7lcDgDo06cPrl+/jl9//RV79uxBjx49MGnSJCxbtgxt27bF1atXsXPnTuzZswdDhgxBz5498eOPP6K4uBhOTk4q86RKlMylmTt3LoYNG4Zff/0VO3fuxJw5c7B582YMGjSozLzNzMxUlouLizFv3jy88cYban2NjY3V8gfUj7Mm59aLYnlRzkTVGQsgomqo5C/t9PR0eHp6AkCFfj7OsWPH1JYbNWoEfX19eHp6oqioCJmZmejUqdMr7ad58+bYsmWLSgFz9OhRmJubqxUhz9O0aVMcP35cpe3ZCcR2dnY4e/asStvT82xKJmunpaWhS5cuZe7Lzs4Oo0aNwqhRo9CpUyd88MEHWLZsGQDAwsICgYGBCAwMxODBg9G7d2/cu3cPbdu2RUZGBgwMDJ47kbtx48Zo3Lgxpk2bhqFDh2LDhg3PLYCe1bZtW1y4cAENGzYsdX3z5s2RlpaG27dvw9nZGQCQlJSklh/w5NyysrIC8HLnVnlybtasGY4dO4aRI0cq254994i0hQUQUTVkYmKCjh07YvHixXBzc8Pdu3cxa9asChv/xo0bCA8Px4QJE3Dq1CmsXr0an376KYAnv6SHDx+OkSNH4tNPP4Wnpyfu3r2Lffv2wcPDA3379i33fkJCQhAVFYUpU6Zg8uTJuHDhAubMmYPw8HCNHpmfMmUKOnfujOXLl6N///7Yt28fdu7cqXJ1o3v37li6dCk2btwIHx8ffPvttzh79qyygDQ3N8f777+PadOmobi4GK+99hqys7Nx9OhR1KpVC0FBQfjoo4/g5eWFFi1aoKCgAL/88guaNWsGAFixYgWcnJzQpk0b6Onp4YcffoCjoyNq166Nnj17wsfHBwMHDsSSJUvQpEkT3L59G/Hx8Rg4cCBatGiBDz74AIMHD4a7uztu3ryJEydO4M033yz3MQCAjz76CK+//jpcXFzw1ltvQU9PD2fOnMEff/yBhQsXomfPnmjSpInytcvOzsbMmTNVxmjYsCFcXFwwd+5cLFy4EJcuXVK+9pp4Uc7e3t4IDQ1FUFAQvL298dprr+F///sf/vzzT06CpupBW5OPiKSsS5cuIjQ0VKVtwIABIigoSLl87tw50bFjR2FiYiLatGkjEhISSp0E/fRk1mcnrwrxZALr05NOu3TpIkJCQsTEiROFhYWFsLKyEjNmzFCZ3Pv48WPx0UcfCTc3N2FoaCgcHR3FoEGDxJkzZ8rcT1kOHDgg2rVrJ4yMjISjo6OYPn26UCgUyvXlmQQthBDr168XderUESYmJmLgwIFi4cKFwtHRUaXPRx99JBwcHISlpaWYNm2amDx5snIStBBCFBcXi5UrV4omTZoIQ0NDYWdnJ3r16iUOHjwohBBiwYIFolmzZsLExERYW1uLAQMGiL///lu5/zZt2ggzMzNhYWEhevToIU6dOqUcOzs7W0yZMkU4OzsLQ0ND4eLiIoYPHy7S0tJEQUGBePvtt4WLi4swMjISzs7OYvLkyeLff/8tM188NXH5abt27RK+vr7CxMREWFhYiPbt24v169cr11+4cEG89tprwsjISDRu3Fjs2rVLbawjR44IDw8PYWxsLDp16iR++OGHF06CLm3i8vNyLrFo0SJha2sratWqJYKCgsSHH37ISdBULciEKOWmMRFRNTdu3Dj89ddfOHz4sLZDqfZkMhm2bdum9jlJRFLGW2BEVCMsW7YM/v7+MDMzw86dO/H1118jOjpa22ERUQ3FAoiIaoTjx4/jk08+waNHj1C/fn2sWrUKY8eO1XZYRFRD8RYYERERSQ4/CJGIiIgkhwUQERERSQ4LICIiIpIcFkBEREQkOSyAiIiISHJYABEREZHksAAiIiIiyWEBRERERJLDAoiIiIgk5/8B3vubrwpJqogAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: soare\n",
      "\n",
      "Proportions\n",
      "7-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼───────────\n",
      "2     │  0.0545691\n",
      "3     │   0.424426\n",
      "4     │   0.404071\n",
      "5     │  0.0922477\n",
      "6     │   0.019489\n",
      "7     │ 0.00389779\n",
      "8     │ 0.00129926\n",
      "\n",
      "Mean Score\n",
      "3.6145517540060634\n",
      "  4.609753 seconds (96.76 M allocations: 3.220 GiB, 10.60% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = true,\n",
    "    hard_mode = true,\n",
    "    heuristic = PRIORITIZE_ENTROPY\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5f510b8",
   "metadata": {},
   "source": [
    "### Using all possible words as guesses + hard mode, prioritizing maxsize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "583d8834",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: raise\n",
      "\n",
      "Proportions\n",
      "8-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │   0.0563014\n",
      "3     │    0.396275\n",
      "4     │    0.426159\n",
      "5     │   0.0957124\n",
      "6     │    0.019922\n",
      "7     │  0.00433088\n",
      "8     │ 0.000866176\n",
      "\n",
      "Mean Score\n",
      "3.6418362927674317\n",
      "  4.874234 seconds (95.84 M allocations: 3.196 GiB, 19.62% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = true,\n",
    "    hard_mode = true,\n",
    "    heuristic = PRIORITIZE_MAX_GROUP_SIZE\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9943800b",
   "metadata": {},
   "source": [
    "### Using all possible words as guesses + hard mode, prioritizing max splits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "eb56f37c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guess: trace\n",
      "\n",
      "Proportions\n",
      "8-element Named Vector{Float64}\n",
      "Dim1  │ \n",
      "──────┼────────────\n",
      "1     │ 0.000433088\n",
      "2     │    0.064097\n",
      "3     │    0.454309\n",
      "4     │    0.384582\n",
      "5     │   0.0796882\n",
      "6     │   0.0125595\n",
      "7     │  0.00389779\n",
      "8     │ 0.000433088\n",
      "\n",
      "Mean Score\n",
      "3.534430489389346\n",
      "  4.749509 seconds (97.09 M allocations: 3.256 GiB, 14.03% gc time)\n"
     ]
    }
   ],
   "source": [
    "@time generate_stats(\n",
    "    guess_all_words = true,\n",
    "    hard_mode = true,\n",
    "    heuristic = PRIORITIZE_SPLITS\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2d0562ce-2786-490b-8bb3-dcda94f3f88a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.7.1",
   "language": "julia",
   "name": "julia-1.7"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}