{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Histogram collections\n",
    "\n",
    "**WARNING**: Experimental functionality that will probably be redesigned (in version 0.7 or later)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "np.random.seed(42)\n",
    "\n",
    "from physt import h1\n",
    "from physt.types import HistogramCollection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from physt.plotting import set_default_backend\n",
    "set_default_backend(\"matplotlib\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1KT8/X6tWrbIfHxMToy1btmj69Onyer1KSkpScXGxHnrooc49KwAAgF6ow99jFwl8jx26A5+KBdqP77ED2qfHfo8dAAAAehbCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDhBV2S5Ys0ejRo9W3b1+lp6frtttuU1VVVcg+jY2NKikpUVpampKTk1VYWKi6urqQfWpqalRQUKDExESlp6drzpw5Onv2bMfPBgAAoBcLK+x27dqlkpIS7d27Vzt37lRLS4vGjRunM2fO2PuUlpZq8+bN2rBhg3bt2qXa2lpNmjTJHj937pwKCgrU3NysPXv26IUXXtDatWu1aNGizjsrAACAXijKsizrYh/8ySefKD09Xbt27dJ3v/tdBQIB9e/fX+vXr9cdd9whSXr//fc1bNgw+Xw+jRkzRtu2bdMtt9yi2tpaud1uSdKaNWs0d+5cffLJJ4qPj//a5w0Gg3K5XAoEAnI6nRc7feArDZm3NdJTAC4ZHy4tiPQUgEtCVzdMh95jFwgEJEmpqamSpMrKSrW0tCgvL8/eJysrS5mZmfL5fJIkn8+nnJwcO+okKT8/X8FgUEeOHLng8zQ1NSkYDIbcAAAAEOqiw661tVWzZ8/WDTfcoOHDh0uS/H6/4uPjlZKSErKv2+2W3++39/nbqGsbbxu7kCVLlsjlctm3QYMGXey0AQAAjHXRYVdSUqJ3331XL7/8cmfO54Lmz5+vQCBg344fP97lzwkAAHCpib2YB82YMUNbtmzR7t27NXDgQHu7x+NRc3OzGhoaQq7a1dXVyePx2Pvs27cv5Hhtn5pt2+eLHA6HHA7HxUwVAACg1wjrip1lWZoxY4Y2btyoN954Q0OHDg0ZHzlypOLi4lReXm5vq6qqUk1NjbxeryTJ6/Xq8OHDqq+vt/fZuXOnnE6nsrOzO3IuAAAAvVpYV+xKSkq0fv16/frXv1bfvn3t98S5XC4lJCTI5XJp6tSpKisrU2pqqpxOp2bOnCmv16sxY8ZIksaNG6fs7GxNmTJFy5Ytk9/v14IFC1RSUsJVOQAAgA4IK+xWr14tSfr7v//7kO3PP/+8fvjDH0qSli9frujoaBUWFqqpqUn5+flatWqVvW9MTIy2bNmi6dOny+v1KikpScXFxXrooYc6diYAAAC9XIe+xy5S+B47dAe+xw5oP77HDmifHv09dgAAAOg5CDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIWIjPQEAwKVvyLytkZ5Cp/lwaUGkpwBcNK7YAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAzBFxSjU5n0JaUAAFxquGIHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADBE2GG3e/duTZgwQRkZGYqKitKmTZtCxi3L0qJFizRgwAAlJCQoLy9P1dXVIfucPHlSRUVFcjqdSklJ0dSpU3X69OkOnQgAAEBvF3bYnTlzRtdee62eeuqpC44vW7ZMK1eu1Jo1a1RRUaGkpCTl5+ersbHR3qeoqEhHjhzRzp07tWXLFu3evVvTpk27+LMAAACAYsN9wPjx4zV+/PgLjlmWpRUrVmjBggWaOHGiJOnFF1+U2+3Wpk2bdNddd+m9997T9u3btX//fo0aNUqS9MQTT+j73/++/vVf/1UZGRkdOB0AAIDeq1PfY3fs2DH5/X7l5eXZ21wul3Jzc+Xz+SRJPp9PKSkpdtRJUl5enqKjo1VRUdGZ0wEAAOhVwr5i91X8fr8kye12h2x3u932mN/vV3p6eugkYmOVmppq7/NFTU1Nampqsu8Hg8HOnDYAAIARLolPxS5ZskQul8u+DRo0KNJTAgAA6HE6New8Ho8kqa6uLmR7XV2dPebxeFRfXx8yfvbsWZ08edLe54vmz5+vQCBg344fP96Z0wYAADBCp4bd0KFD5fF4VF5ebm8LBoOqqKiQ1+uVJHm9XjU0NKiystLe54033lBra6tyc3MveFyHwyGn0xlyAwAAQKiw32N3+vRp/eEPf7DvHzt2TIcOHVJqaqoyMzM1e/ZsPfLII7ryyis1dOhQLVy4UBkZGbrtttskScOGDdPNN9+sn/zkJ1qzZo1aWlo0Y8YM3XXXXXwiFgAAoAPCDrsDBw7oH/7hH+z7ZWVlkqTi4mKtXbtW999/v86cOaNp06apoaFBY8eO1fbt29WnTx/7MevWrdOMGTN00003KTo6WoWFhVq5cmUnnA4AAEDvFWVZlhXpSYQrGAzK5XIpEAjwsmwPM2Te1khPAQA65MOlBZGeAgzW1Q1zSXwqFgAAAF+PsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDxEZ6AgAA9CRD5m2N9BQ6zYdLCyI9BXQzrtgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIaIjfQEIA2ZtzXSUwAAAAbgih0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADBEb6Ql0xPAHdijakRjpaQAAAPQIEbti99RTT2nIkCHq06ePcnNztW/fvkhNBQAAwAgRCbv/+q//UllZmR544AEdPHhQ1157rfLz81VfXx+J6QAAABghyrIsq7ufNDc3V6NHj9aTTz4pSWptbdWgQYM0c+ZMzZs372sfHwwG5XK5NGj2K7wUCwBAL/Dh0oJIT6FTtDVMIBCQ0+ns9ON3+xW75uZmVVZWKi8v76+TiI5WXl6efD5fd08HAADAGN3+4Yk//elPOnfunNxud8h2t9ut999//4KPaWpqUlNTk30/EAhIklqbPuu6iQIAgB4js3RDpKfQKdrapateML0kPhW7ZMkSLV68+LztH6/+YfdPBgAAoIM+/fRTuVyuTj9ut4fdZZddppiYGNXV1YVsr6urk8fjueBj5s+fr7KyMvt+a2urTp48qbS0NEVFRXXpfLtaMBjUoEGDdPz48S55rR0Xh3XpmViXnol16ZlYl54pEAgoMzNTqampXXL8bg+7+Ph4jRw5UuXl5brtttsk/SXUysvLNWPGjAs+xuFwyOFwhGxLSUnp4pl2L6fTyQ9eD8S69EysS8/EuvRMrEvPFB3dNR9ziMhLsWVlZSouLtaoUaP07W9/WytWrNCZM2f0ox/9KBLTAQAAMEJEwu7OO+/UJ598okWLFsnv9+u6667T9u3bz/tABQAAANovYh+emDFjxpe+9NqbOBwOPfDAA+e91IzIYl16JtalZ2JdeibWpWfq6nWJyBcUAwAAoPNF7G/FAgAAoHMRdgAAAIYg7AAAAAxB2HWTjz/+WHfffbfS0tKUkJCgnJwcHThwwB63LEuLFi3SgAEDlJCQoLy8PFVXV0dwxuY7d+6cFi5cqKFDhyohIUFXXHGFHn744ZA/88K6dL3du3drwoQJysjIUFRUlDZt2hQy3p41OHnypIqKiuR0OpWSkqKpU6fq9OnT3XgW5vmqdWlpadHcuXOVk5OjpKQkZWRk6J577lFtbW3IMViXzvd1Py9/62c/+5mioqK0YsWKkO2sS+drz7q89957uvXWW+VyuZSUlKTRo0erpqbGHm9sbFRJSYnS0tKUnJyswsLC8/6YQ3sQdt3gz3/+s2644QbFxcVp27ZtOnr0qP7t3/5N/fr1s/dZtmyZVq5cqTVr1qiiokJJSUnKz89XY2NjBGdutscee0yrV6/Wk08+qffee0+PPfaYli1bpieeeMLeh3XpemfOnNG1116rp5566oLj7VmDoqIiHTlyRDt37tSWLVu0e/duTZs2rbtOwUhftS6fffaZDh48qIULF+rgwYN69dVXVVVVpVtvvTVkP9al833dz0ubjRs3au/evcrIyDhvjHXpfF+3Lh988IHGjh2rrKwsvfXWW3rnnXe0cOFC9enTx96ntLRUmzdv1oYNG7Rr1y7V1tZq0qRJ4U/GQpebO3euNXbs2C8db21ttTwej/X444/b2xoaGiyHw2H953/+Z3dMsVcqKCiwfvzjH4dsmzRpklVUVGRZFusSCZKsjRs32vfbswZHjx61JFn79++399m2bZsVFRVlffzxx902d5N9cV0uZN++fZYk66OPPrIsi3XpDl+2Ln/84x+tb3zjG9a7775rDR482Fq+fLk9xrp0vQuty5133mndfffdX/qYhoYGKy4uztqwYYO97b333rMkWT6fL6zn54pdN/if//kfjRo1Sj/4wQ+Unp6u66+/Xs8++6w9fuzYMfn9fuXl5dnbXC6XcnNz5fP5IjHlXuE73/mOysvL9fvf/16S9Lvf/U6//e1vNX78eEmsS0/QnjXw+XxKSUnRqFGj7H3y8vIUHR2tioqKbp9zbxUIBBQVFWX/uUfWJTJaW1s1ZcoUzZkzR9dcc81546xL92ttbdXWrVt11VVXKT8/X+np6crNzQ15ubayslItLS0h/63LyspSZmZm2L9vCLtu8H//939avXq1rrzySu3YsUPTp0/XrFmz9MILL0iS/H6/JJ33lzfcbrc9hs43b9483XXXXcrKylJcXJyuv/56zZ49W0VFRZJYl56gPWvg9/uVnp4eMh4bG6vU1FTWqZs0NjZq7ty5mjx5sv03SVmXyHjssccUGxurWbNmXXCcdel+9fX1On36tJYuXaqbb75Zr732mm6//XZNmjRJu3btkvSXdYmPj7f/x6jNxfy+idhfnuhNWltbNWrUKD366KOSpOuvv17vvvuu1qxZo+Li4gjPrvd65ZVXtG7dOq1fv17XXHONDh06pNmzZysjI4N1AdqppaVF//RP/yTLsrR69epIT6dXq6ys1K9+9SsdPHhQUVFRkZ4O/r/W1lZJ0sSJE1VaWipJuu6667Rnzx6tWbNG3/ve9zr1+bhi1w0GDBig7OzskG3Dhg2zPw3j8Xgk6bxPv9TV1dlj6Hxz5syxr9rl5ORoypQpKi0t1ZIlSySxLj1Be9bA4/Govr4+ZPzs2bM6efIk69TF2qLuo48+0s6dO+2rdRLrEgm/+c1vVF9fr8zMTMXGxio2NlYfffSR/vmf/1lDhgyRxLpEwmWXXabY2Niv7YDm5mY1NDSE7HMxv28Iu25www03qKqqKmTb73//ew0ePFiSNHToUHk8HpWXl9vjwWBQFRUV8nq93TrX3uSzzz5TdHToj0BMTIz9f1esS+S1Zw28Xq8aGhpUWVlp7/PGG2+otbVVubm53T7n3qIt6qqrq/X6668rLS0tZJx16X5TpkzRO++8o0OHDtm3jIwMzZkzRzt27JDEukRCfHy8Ro8e/ZUdMHLkSMXFxYX8t66qqko1NTXh/74J66MWuCj79u2zYmNjrX/5l3+xqqurrXXr1lmJiYnWSy+9ZO+zdOlSKyUlxfr1r39tvfPOO9bEiROtoUOHWp9//nkEZ2624uJi6xvf+Ia1ZcsW69ixY9arr75qXXbZZdb9999v78O6dL1Tp05Zb7/9tvX2229bkqxf/vKX1ttvv21/urI9a3DzzTdb119/vVVRUWH99re/ta688kpr8uTJkTolI3zVujQ3N1u33nqrNXDgQOvQoUPWiRMn7FtTU5N9DNal833dz8sXffFTsZbFunSFr1uXV1991YqLi7OeeeYZq7q62nriiSesmJgY6ze/+Y19jJ/97GdWZmam9cYbb1gHDhywvF6v5fV6w54LYddNNm/ebA0fPtxyOBxWVlaW9cwzz4SMt7a2WgsXLrTcbrflcDism266yaqqqorQbHuHYDBo3XfffVZmZqbVp08f6/LLL7d+8YtfhPxiYl263ptvvmlJOu9WXFxsWVb71uDTTz+1Jk+ebCUnJ1tOp9P60Y9+ZJ06dSoCZ2OOr1qXY8eOXXBMkvXmm2/ax2BdOt/X/bx80YXCjnXpfO1Zl+eee8765je/afXp08e69tprrU2bNoUc4/PPP7fuvfdeq1+/flZiYqJ1++23WydOnAh7LlGW9Tdfsw8AAIBLFu+xAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAOALxgyZIhWrFgR6WkAQNgIOwD4gv3792vatGnt2teyLC1atEgDBgxQQkKC8vLyVF1d3cUzBIALI+wA4Av69++vxMTEdu27bNkyrVy5UmvWrFFFRYWSkpKUn5+vxsbGLp4lAJyPsANgnO3bt2vs2LFKSUlRWlqabrnlFn3wwQeSpBdffFHJyckhV9XuvfdeZWVl6bPPPpMU+lKsZVl68MEHlZmZKYfDoYyMDM2aNcseW7FihRYsWKCJEydqxIgRevHFF1VbW6tNmzZ16zkDgETYATDQmTNnVFZWpgMHDqi8vFzR0dG6/fbb1draqnvuuUff//73VVRUpLNnz2rr1q3693//d61bt+6CV+n++7//W8uXL9fTTz+t6upqbdq0STk5OZKkY8eOye/3Ky8vz97f5XIpNzdXPp+v284XANrERnoCANDZCgsLQ+7/x3/8h/r376+jR49q+PDhevrppzVixAjNmjVLr776qh588EGNHDnygseqqamRx+NRXl6e4uLilJmZqW9/+9uSJL/fL0lyu90hj3G73fYYAHQnrtgBME51dbUmT56syy+/XE6nU0OGDJH0l0iTpH79+um5557T6tWrdcUVV2jevHlfeqwf/OAH+vzzz3X55ZfrJz/5iTZu3KizZ892x2kAQNgIOwDGmTBhgk6ePKlnn31WFRUVqqiokCQ1Nzfb++zevVsxMTE6ceKEzpw586XHGjRokKqqqrRq1SolJCTo3nvv1Xe/+121tLTI4/FIkurq6kIeU1dXZ48BQHci7AAY5dNPP1VVVZUWLFigm266ScOGDdOf//znkH327Nmjxx57TJs3b1ZycrJmzJjxlcdMSEjQhAkTtHLlSr311lvy+Xw6fPiwhg4dKo/Ho/LycnvfYDCoiooKeb3eLjk/APgqvMcOgFH69euntLQ0PfPMMxowYIBqampCXmo9deqUpkyZolmzZmn8+PEaOHCgRo8erQkTJuiOO+4473hr167VuXPnlJubq8TERL300ktKSEjQ4MGDFRUVpdmzZ+uRRx7RlVdeqaFDh2rhwoXKyMjQbbfd1o1nDQB/wRU7AEaJjo7Wyy+/rMrKSg0fPlylpaV6/PHH7fH77rtPSUlJevTRRyVJOTk5evTRR/XTn/5UH3/88XnHS0lJ0bPPPqsbbrhBI0aM0Ouvv67NmzcrLS1NknT//fdr5syZmjZtmkaPHq3Tp09r+/bt6tOnT/ecMAD8jSjLsqxITwIAAAAdxxU7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABji/wFu1dWd8euMKQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data1 = np.random.normal(100, 15, 2000)\n",
    "h_a = h1(data1, \"fixed_width\", bin_width=10, name=\"first\")\n",
    "h_a.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data2 = np.random.normal(80, 10, 2000)\n",
    "h_b = h1(data2, h_a.binning, name=\"second\")\n",
    "h_b.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "collection = HistogramCollection(h_a, h_b, title=\"Combination\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Histogram1D('third', bins=(11,), total=299, dtype=int64)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "collection.create(\"third\", np.random.normal(148, 5, 300))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting in matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The default\n",
    "collection.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BPfzww3A4HMGvqqoq1Z+TiIiIKNaEtGJ34sQJfPzxx3jrrbeCt9lsNng8Htjt9j6rdg0NDcECgTabDZs2berzWL27Zk9XRNBoNMJojM6lZSIiIqJoEdKK3SuvvIKcnBzMmzcveNu0adOg1+uxatWq4G0HDx5EZWUlysvLAQDl5eXYvXs3Ghsbg2NWrlwJs9mM0tLSUF8DUezw+wBPJ9DZAjiqA1/ddiC0VFciIqI+hFfs/H4/XnnlFdxyyy3Q6b463GKx4LbbbsOSJUuQkZEBs9mMe++9F+Xl5TjnnHMAAJdccglKS0tx00034ZlnnkF9fT0eeeQRLF68mCtyFFt8XsDbDfS4xP7rPcXu75QsYPg3gJxxQ/s6iIgorggHdh9//DEqKyvx3e9+t999zz//PDQaDa699lq43W7MnTsXf/rTn4L3a7VaLF++HHfffTfKy8uRkpKCW265BU8++eTgXgVRKGQZ8HuBnm7A6+r7357u0wdovjAX1e5sBva+DbgvBorODu9jExFRwgi53Ekkqb1VmGKMLAM+z8AB2mn/6woEdtGmbCFgLY70LIgohpyuvAYNvZgsd0I0pGQZaK8DWo4C7fX9V9Fkf6RnGD5VmxjYERFRSBjYUfTzeoD97wLNhyM9k6HRegzw9QBafaRnQkSxRJYBrxvwRmkRYK0BSJACxZHEwI6im98H7Pgn0N4Q6ZkMHb8vsFs2oyTSMyGiGCL5e6Bb/yKgi9KP9m8sAXTxsVFy9erVuPDCC/t124oGIRcoJhoSDXsTK6jr5WARbiIiEsfAjqJb1cZIzyAy7JWRngEREcUgBnYUvbrtgTIgichZF/6SKkREUeo///kPJk6ciKSkJGRmZmLOnDno7OwEAPztb3/D+PHjYTKZMG7cuD5l1ACguroaN954IzIyMpCSkoLp06dj48avFgVeeukljBw5EgaDAWPHjsU//vGPPsdLkoS//e1vuOaaa5CcnIzRo0fj3Xff7TPm/fffx5gxY5CUlIQLL7wQx48fV+cHEQYM7Ch6JfKqld8LOGsiPQsiItXV1dXhxhtvxHe/+13s378fq1evxoIFCyDLMl5//XU8+uij+NWvfoX9+/fjqaeews9//nO89tprAICOjg7Mnj0bNTU1ePfdd7Fz5078+Mc/ht8fqJTw9ttv44c//CF+9KMfYc+ePfje976HW2+9FZ9++mmfOTzxxBO4/vrrsWvXLlx++eVYuHAhWltbAQBVVVVYsGAB5s+fjx07duD222/HT37yk6H9IQmI0gxLIiR2YAcE8uzSh0V6FkREqqqrq4PX68WCBQswbFjgPW/ixIkAgMceewzPPvssFixYAAAoKSnBvn378Oc//xm33HIL3njjDTQ1NWHz5s3IyMgAAIwaNSr42L/97W+xaNEifP/73wcALFmyBBs2bMBvf/tbXHjhhcFxixYtwo033ggAeOqpp/Diiy9i06ZNuPTSS4Mrfs8++ywAYOzYsdi9ezeefvpplX8yoWFgR9ErFgI7jRbQmQB90tf+awJ0SYHvT77v6KdA23Fljx0Lr5+IaJAmT56Miy++GBMnTsTcuXNxySWX4LrrroPBYMDRo0dx22234Y477giO93q9sFgsAIAdO3agrKwsGNR93f79+3HnnXf2uW3WrFl44YUX+tw2adKk4P+npKTAbDYH+9rv378fM2fO7DO+vLw89BesMgZ2FJ267YDLMXTPp9V9GYiZxP6r1YvVZcooUR7YOWsCpU802pBeEhFRLNBqtVi5ciXWrVuHjz76CL///e/xs5/9DMuWLQMA/PWvf+0XWGm1gffFpKSksMxBr+9bN1SSpODl3FjDwI6iU6irVTpDiAHaEP0qWIqUj/V5AWctYBU4hogoBkmShFmzZmHWrFl49NFHMWzYMKxduxb5+fk4duwYFi5cOOBxkyZNwt/+9je0trYOuGo3fvx4rF27FrfcckvwtrVr16K0tFTx3MaPH99vM8WGDRsUHz/UGNhRdBIJ7JIzA/1VdaboX91KswVW+Xw9ysY7qhjYEVFc27hxI1atWoVLLrkEOTk52LhxI5qamjB+/Hg88cQT+MEPfgCLxYJLL70UbrcbW7ZsQVtbG5YsWYIbb7wRTz31FK6++mosXboUeXl52L59O/Lz81FeXo4HH3wQ119/PcrKyjBnzhwsW7YMb731Fj7++GPF87vrrrvw7LPP4sEHH8Ttt9+OrVu34tVXX1XvBzJI3BVL0UkksEsfBhhSoj+oAwJztBQqH888OyKKc2azGZ999hkuv/xyjBkzBo888gieffZZXHbZZbj99tvxt7/9Da+88gomTpyI2bNn49VXX0VJSaAzj8FgwEcffYScnBxcfvnlmDhxIn79618HL9VeffXVeOGFF/Db3/4WEyZMwJ///Ge88soruOCCCxTPr7i4GP/7v/+Ld955B5MnT8bLL7+Mp556So0fRVhIsizLkZ6EKKfTCYvFAofDAbPZHOnpULh124ENLykfP+EaIGecatMJuxPrgGNrlI3V6oHz7o+NoJWIIsblcqHi2DGUFBfAZDJFejoDS6BesS6XCxUVFSgpKel3PtSOYXgplqKP6CpVrF2qFMqz6wHa6wFLgXrzIaL4IEmBXqxx0o+VQsNLsRR97CeUj03JClyGjSXmfLHNGuwbS0RECjGwo+giy2IrdtYYLOCr0QJmgRU45tkREZFCDOwourjsgMupfLy1WLWpqEpk3o4qIEbrKRER0dBiYEfRJd7z63qJ5Nl5PUBno3pzISKiuMHAjqKLSGAXi/l1vcz5YjtdeTmWiIgUYGBH0SMR8ut6afWB4E4pBnZERKQAAzuKHomSX9dL5HKsoyoQ+BIREZ0G69hR9BDOr4vxwM5aHChWrESPC+hsAlJz1J0TEcUsWZbh8Xmg8UXnmo1eo4eUIAWKI4mBHUUPkcAuNRswJKs3l6FgLgAkDSAr3PFqr2RgR0Sn5JW9eHX/q9DpovOj/faJt8OgNZxx3OrVq3HhhReira0NVqt1wDGPP/443nnnHezYsUNoDsePH0dJSQm2b9+OKVOmCB0bK6IzrKfEI8tAm0Bh4ljOr+ulMwDmPOXjmWdHRHHoggsuwH333Sd0zAMPPIBVq1apM6EYx8COokN3G+BuVz4+1i/D9mKeHRGRsNTUVGRmZp7yfo/HM4SziS4M7Cg6iK5GiQRE0UwkQPV0AV0t6s2FiGiILVq0CGvWrMELL7wASZIgSRKOHz8OANi6dSumT5+O5ORknHvuuTh48GDwuMcff7zPpdRFixbh6quvxq9+9Svk5+dj7NixAIBNmzahrKwMJpMJ06dPx/bt24fy5UUEAzuKDomWX9fLUhjIs1NKpI8uEVGUe+GFF1BeXo477rgDdXV1qKurQ1FR4A/3n/3sZ3j22WexZcsW6HQ6fPe73z3tY61atQoHDx7EypUrsXz5cnR0dOCKK65AaWkptm7discffxwPPPDAULysiIrODEtKLIlUv+7rdEYgLRdw1ikbb68CCqapOycioiFisVhgMBiQnJwMm80GADhw4AAA4Fe/+hVmz54NAPjJT36CefPmweVywWQyDfhYKSkp+Nvf/gaDIbBB4y9/+Qv8fj/+/ve/w2QyYcKECaiursbdd989BK8scrhiR5GXqPl1vUQuK9srmWdHRAlh0qRJwf/PywtsNGtsPHV7xYkTJwaDOgDYv38/Jk2a1CcQLC8vV2Gm0YWBHUVeoubX9RJZgfR0BgJhIqI4p9frg//fW//O7z91eaiUlBhtMRlmDOwo8hI1v66XpRAQKdrJPDsiiiMGgwE+ny/sjzt+/Hjs2rULLpcreNuGDRvC/jzRhoEdRZZwft1w1aYSMXqTWOFhe5V6cyEiGmLDhw/Hxo0bcfz4cTQ3N592VU7Ef/3Xf0GSJNxxxx3Yt28f3n//ffz2t78Ny2NHMwZ2FFmJnl/XyyLwuphnR0Rx5IEHHoBWq0VpaSmys7NRWRmeYuypqalYtmwZdu/ejbKyMvzsZz/D008/HZbHjmaSLMfeJ4TT6YTFYoHD4YDZbI70dGgwarcDBz9QNlaSgFk/BPRJ6s4pEpoOAnveUj7+nLuApHT15kNEMcXlcuHYsWMoHFZ4yl2jkZZIvWJdLhcqKipQUlLS73yoHcOw3AlFlshl2JTs+AzqAPENIfYqBnZE1IckSTBoDYr6sVL84qVYipxErl/3dYZkICVL+Xj2jSUiogEwsKPI6W4D3B3Kx8drfl0vkcDVwQ0URETUHwM7ihyRsh2SBFjjrH7d14m8vm474HKoNhUiIopNDOwocphf11coeXZERCcJV6kQGpxIngfhzRM1NTV46KGHsGLFCnR1dWHUqFF45ZVXMH36dACALMt47LHH8Ne//hV2ux2zZs3CSy+9hNGjRwcfo7W1Fffeey+WLVsGjUaDa6+9Fi+88AJSU1PD98ooujG/rj9jKpCcCXS1KBtvrwRsZ6k7JyKKCQaDARqNBrW1tcjOzobBYEiYHajRRJZleDweNDU1QaPR9GlxNlSEAru2tjbMmjULF154IVasWIHs7GwcPnwY6elf7c575pln8OKLL+K1115DSUkJfv7zn2Pu3LnYt29fcMvvwoULUVdXh5UrV6Knpwe33nor7rzzTrzxxhvhfXUUvUTz69ITILADAnmESgM75tkR0Zc0Gg1KSkpQV1eH2traSE8n4SUnJ6O4uBgazdBfGBWqY/eTn/wEa9euxeeffz7g/bIsIz8/Hz/60Y/wwAMPAAAcDgdyc3Px6quv4oYbbsD+/ftRWlqKzZs3B1f5PvjgA1x++eWorq5Gfn7+GefBOnZxgPXrBtawF9j3rvLx594DGNPUmw8RxRRZluH1elVp0UXKaLVa6HS6U66YRlUdu3fffRdz587Ft771LaxZswYFBQX4/ve/jzvuuAMAUFFRgfr6esyZMyd4jMViwcyZM7F+/XrccMMNWL9+PaxWazCoA4A5c+ZAo9Fg48aNuOaaa/o9r9vthtvtDn7vdDqFXyhFmTaBjROpOYkR1AHiO3/tVUBuqTpzIaKYI0kS9Ho99Hp9pKdCESK0Rnjs2LFgvtyHH36Iu+++Gz/4wQ/w2muvAQDq6+sBALm5uX2Oy83NDd5XX1+PnJy+fTF1Oh0yMjKCY75u6dKlsFgswa+iojjfHRnvhPPr4rzMycmMaWKFh1nPjoiITiIU2Pn9fkydOhVPPfUUysrKcOedd+KOO+7Ayy+/rNb8AAAPP/wwHA5H8KuqirlFMa2rFfB0Kh+fCBsnTiYSyDLPjoiITiIU2OXl5aG0tO9ln/Hjxwcb9tpsNgBAQ0NDnzENDQ3B+2w2GxobG/vc7/V60draGhzzdUajEWazuc8XxTDR+nWiZUBinUg9u85msSCZiIjimlBgN2vWLBw8eLDPbYcOHcKwYYEVlZKSEthsNqxatSp4v9PpxMaNG1FeXg4AKC8vh91ux9atW4NjPvnkE/j9fsycOTPkF0IxROTyYWoOoI/OhtaqCSXPjoiICIKB3f33348NGzbgqaeewpEjR/DGG2/gL3/5CxYvXgwgkLR533334Ze//CXeffdd7N69GzfffDPy8/Nx9dVXAwis8F166aW44447sGnTJqxduxb33HMPbrjhBkU7YinGMb/uzEyWwJdSzLMjIqIvCe2KnTFjBt5++208/PDDePLJJ1FSUoLf/e53WLhwYXDMj3/8Y3R2duLOO++E3W7Heeedhw8++CBYww4AXn/9ddxzzz24+OKLgwWKX3zxxfC9KopezK9TxloM1O9WNtbBwI6IiAKE6thFC9axi2E124BDHyobK0nArPsS71IsANTtBA68r3z8rB8ChmT15kNERGGhdgzDXrE0tITy63ITM6gDxDeMOKrVmQcREcUUBnY0dJhfp1xSulhHCV6OJSIiMLCjodTVwvw6pSRJrOwJN1AQEREY2NFQEq5fV6jeXGKByIplRyPQ41JvLkREFBMY2NHQYX6dGItAYCfLzLMjIiIGdjREmF8nLjkDMKQoH888OyKihMfAjoZGVwvg6VI+PpHz63oxz46IiAQxsKOhwfy60IisXLY3AF63enMhIqKox8COhgbz60IjlGfnZ54dEVGCY2BH6hPNr0vnZdiglCxAn6R8vKNKvbkQEVHUY2BH6mN+XeiYZ0dERAIY2JH62phfNygigW57PeDrUW8uREQU1RjYkfpENk6k2QCdUb25xCKRvrF+H/PsiIgSGAM7Uhfr1w1eao7YZhLm2RERJSwGdqSuzmagp1v5eObX9SdJYqt2zLMjIkpYDOxIXSJBhqRhft2piAR2zjrA51VvLkREFLUY2JG6hPLrcplfdyoil6j9XsBZo95ciIgoajGwI/Uwvy58UnMBnUH5eObZERElJAZ2pB7m14WPRiOYZ8fAjogoETGwI/Uwvy68hPLsqgOlT4iIKKEwsCP12I8rH8v6dWcmcqna5wXa69SbCxERRSUGdqQOWRa7HMj8ujNLswFavfLxLHtCRJRwGNiROjqbBPPrGNidkUYrdrmaeXZERAmHgR2pQzi/TiB/LJGJ/JwcVYDfr95ciIgo6jCwI3UI94cVKOWRyITy7HqAjnr15kJERFGHgR2FH+vXqSctD9DolI9nnh0RUUJhYEfh19kE9LiUj2dgp5xWB1gKlI9nnh0RUUIR+NOfSCHm16nLUgS0KbzU7agM5Nlp+Dfc6fj9Mlo6PahzdKOl0wOP148Ugw4l2SnIt5ggSVKkp0hEpAgDOwo/kfw6cx7z60SJrHB6PUBnYyCPkYK6PT7UObpR73Ch1uFCg9MFj7f/RpPNx1sxOjcVc8bnwqTXRmCmRERiGNhReDG/Tn3m/EDpE6WdJeyVCR3Y+f0ymjvdqLO7UOdwod7RjbauHsXHH27oQLfHh+umFXLljoiiHgM7Cq+ORubXqU2rD2yicFQrG2+vBIrOVndOUaTL4/0ygHOh1t6Nxnb3gKtxIqrburGjyo6y4vQwzZKISB0M7Ci8RPPrzOwPGxJrsfLAzlEVWEmNw9Umv19Gc4cbdQ4X6hzdqHO4YBdYjROx5XgbJhZYoNMyX5GIohcDOwov5tcNDWsRoPRH3eMK7FROzVF1SkOhy+NFrT2wGlfn6EaD04Uenzwkz93h9mJ/XTsmFlqG5PmIiELBwI7CR5YDq0NK8TJs6MyFgRVPWeElRntlzAV2vpNX4+yB1ThHtzqrcUptPt6KCflmaDTxt/pJRPGBgR2FD/Prho7OENgQ4axVNt5eCRROV3dOg9Tp9gYvp9Y5XGgcwtU4pRzdPTjU2I5xNnOkp0JENCAGdhQ+zK8bWtZi5YFdlOXZ+fwymtrdfUqOOCO8GqfU5opWjM1N4w5ZIopKDOwofJhfN7SsxUDlBmVjPV1AVwuQkqXunE6hw+1FvaM7mB/X4HTB64+u1Tilmjs8ONbciZHZqZGeChFRPwzsKDyE8+uGqTeXRGEpDKzAyQoDJHvlkAR2Pr+MxnZXn5Ij7S6v6s87lDZXtGJEVgpX7Ygo6jCwo/Bgft3Q0xmB1FygvV7ZeHslUDA17NPweP2obO1EjT1Q/LfR6Y7Z1Til6hwuVLd1oygjOdJTISLqg4EdhYfIZViNFjALNLKnU7MWKw/swpxn5/fL2FjRim2VbYMuABwpliQ98iwm5FmTUGfvxoH6dsXHbj7eysCOiKIOAzsKD5GNE2nMrwsbazFQtUnZWHcH0N0GJGcM+mllWcaKPfU41KA8EIo0vVZCjtmEfEsSbBYT8iwmpBi/egssyUrBoYYO+BVe2j7R0oUGpwu5ZpNaUyYiEiZUQv3xxx+HJEl9vsaNGxe83+VyYfHixcjMzERqaiquvfZaNDQ09HmMyspKzJs3D8nJycjJycGDDz4Irze+8m8Sjt/P/rCRYikSW4ETOU+nsbfWGfVBnTVZj/F5abhwXA4WzizG3ReMwvXTi3De6CyMykntE9QBgdW7cXlpQs+xqaI1nFMmIho04RW7CRMm4OOPP/7qAXRfPcT999+P9957D2+++SYsFgvuueceLFiwAGvXrgUA+Hw+zJs3DzabDevWrUNdXR1uvvlm6PV6PPXUU2F4ORQRnY2A1618PAO78NGbgJTsQI6jEvZKIH/KoJ6yx+fH+qMtg3qMcNNrJeSaTci3frUal2wQvyAxfVg69tc5Fe9HOdLYgZYONzJTjcLPRUSkBuF3Pp1OB5vN1u92h8OBv//973jjjTdw0UUXAQBeeeUVjB8/Hhs2bMA555yDjz76CPv27cPHH3+M3NxcTJkyBb/4xS/w0EMP4fHHH4fBMPDlObfbDbf7q8DB6XSKTpvUJLIKpNEGdnNS+FiHKQ/swpBnt6fGgQ53ZFfZrcl65FmSAvlxFhOyUo1h6QaRmWrEyOxUHGnsUHzM5uNtuPSs/u+JRESRINzN+vDhw8jPz8eIESOwcOFCVFYGPtS3bt2Knp4ezJkzJzh23LhxKC4uxvr16wEA69evx8SJE5GbmxscM3fuXDidTuzdu/eUz7l06VJYLJbgV1FRkei0SU2i+XVavXpzSURWgd8HlxNw2UN+Kq/Pjy3H20I+PhQGnQZFGck4uyQDV03Jx12zR+LWWSW49CwbJhdZkWM2hbXF19klYjmIB+vbI97qjIiol9CK3cyZM/Hqq69i7NixqKurwxNPPIFvfOMb2LNnD+rr62EwGGC1Wvsck5ubi/r6wK69+vr6PkFd7/29953Kww8/jCVLlgS/dzqdDO6iBfPrIs8i+LtgrwKS0kN6qt1DsFqXnqxHnjWwGmezmJCVEp7VOKVyzSYMy0zGiZYuReP9soxtJ9pw4bjY6sVLRPFJKLC77LLLgv8/adIkzJw5E8OGDcO///1vJCUlhX1yvYxGI4xG5rBEJebXRZ4hOVB4uLNZ2Xh7JZA3Sfhp1FitM+g0sJlNwSAuz5KEJIM2rM8RihnDMxQHdkDg8vTZJRn9NmQQEQ21Qb0LWa1WjBkzBkeOHME3v/lNeDwe2O32Pqt2DQ0NwZw8m82GTZv6lmbo3TU7UN4exQDm10UHa7HywE6kQ8hJwrFal5FigM3yVcmRzBTDkK7GKVWYnoR8qwm1dmVFt71+Gdsr7ThvdGRathER9RLOsTtZR0cHjh49iry8PEybNg16vR6rVq0K3n/w4EFUVlaivLwcAFBeXo7du3ejsfGrRO+VK1fCbDajtLR0MFOhSBEJ7Mz5zK9Ti8hKaLcdcDmEHj6U1TqDToNhmcmYOSIDV5cV4O4LRuKWc4dj7gQbJhZakJ02tJdYRUiShOnDxXLtdlbb4erxqTQjIiJlhFbsHnjgAcyfPx/Dhg1DbW0tHnvsMWi1Wtx4442wWCy47bbbsGTJEmRkZMBsNuPee+9FeXk5zjnnHADAJZdcgtLSUtx000145plnUF9fj0ceeQSLFy/mpdZYxPy66BFKnp3Nonj4nlqn0GqdUa/Bd2eVwKSP/GXVUI3ISkFWmhHN7cpSDTxeP3ZW2TFzRKbKMyMiOjWhFbvq6mrceOONGDt2LK6//npkZmZiw4YNyM7OBgA8//zzuOKKK3Dttdfi/PPPh81mw1tvvRU8XqvVYvny5dBqtSgvL8d3vvMd3HzzzXjyySfD+6poaHQ0ML8uWhhTgWSBgEIgIPf6/NgsWIi3rCg9poM6ILBqN2O42CaT7VV29Phis70aEcUHSZaVluKMHk6nExaLBQ6HA2azOdLTSVyVG4Gjnygbq9EC593PS7FqOrgCqN2hbGxyBjDze4qG7qiy49MDCuvkIT5W63r5/TJeXXdcqJzJBWOzUVYc2q5jIop/ascwg8qxowTH/LroIrIi2tUKuM/cEixRV+t6aTQSZgjm2m090QafP+b+XiaiOMHAjkLj9wMO5tdFlVDy7M4glNy6smKr2Dyi3Pi8NKQKlDFpd3mxv47dcYgoMhjYUWg6GgCvR/l4BnbqM5nFCg+foexJYCds4q7W9dJpNZg6zCp0zJbjrfBz1Y6IIoCBHYVGtH6duUC9udBXRNqLneEc7ql1ot2V2Kt1vSYWWIUC1rauHhxpUt5vlogoXBjYUWiE8usKmF83VERWRjubAU/ngHdxta4vg06DKUVWoWM2H29FDO5NI6IYx8COxDG/LnqFKc+Oq3X9lRVbYdApf8tsdLqF2pIREYUDAzsS11HP/LpolWQFTMoLDw+UZxfKat2UIrFLlbHIpNdiYoHAzxbAJsGfIxHRYDGwI3FC+XU65tcNNaE8uxP9btoruFpn0GkwNUHqtk0dlg6tQBu0mrZu1Ni7VZwREVFfDOxInHD9OqHOdTRYonl2PV8FHl6fH5tFc+uK43+1rleqUYfSPLGCoqJ1AImIBoOBHYnx+89YJqMPXoYdeiJ5drLcJ8+Oq3VnNn14OiTli3aoaO5EY7tLvQkREZ2EgR2JYX5d9EtKD/SOVerLjTBcrVPGmmzA2Nw0oWO2HG9TaTZERH0xsCMxzK+LfpIkFlB/eU65WqfcdME2Y4ca2tHWKfAHERFRiBjYkRjm18UGkcuxHY3wuru4WicgO82IEdkpisfLMrDlBFftiEh9DOxIOb9fLLDjZdjIsQ5TPlaWcfjwAa7WCTq7RGzVbn+dE+2uHpVmQ0QUwMCOlOuoB3wCH0zpAsEFhVdyBmBQtqLkl2UcP3JA6OETebWuV54lCYXpSYrH+/wytnLVjohUxsCOlGvrX/PslDQ6IC1fvbnQ6UmS4np2Te1u6NqV73Tmat1XRFft9tQ40O3xqTQbIiIGdiRC5DKspYD5dZFmOfOlcL8so8bejRRPMzR+ZauxZQnQZUKp4oxk5JpNisf3+GRsr+KqHRGph4EdKeP3sX5drFFwDpra3XB7/ZAgI83dcMbxBp0GU4dxta6XJEk4u0Ts57Gjyg63l6t2RKQOBnakTLtgfh0Du8hLyQL0p84B612t62V2157xIbla19/I7FRkpBgUj3f3+LG72qHijIgokTGwI2VE69cxvy7yzpBn17ta18vsrj/tw3G1bmCSJGGGYF27bZVt8Pr8Zx5IRCSIgR0pw/y62HSKPLuvr9YBQKqnERr/qUuecLXu1Mba0mBO0ise3+n2YW+tU8UZEVGiYmBHZ8b8uth1inPx9dU6AJBkP1I9A+fZGXQalHEn7ClpNRKmCa5mbjnRBr9fVmlGRJSoGNjRmTG/LnalZAM6Y5+bBlqt62V21Q14e1mRFUkGrtadzoR8M5IFfkbO7h4cbGhXcUZElIgY2NGZiVyG1TK/LqpoNP0C7YFW63qZ3f0DO67WKaPXiucgbj7eClnmqh0RhQ8DOzozof6whcyvizYn9Y093WodEMizk+S+eXZTuFqn2MQCC4x65W+rLR0eHG3qVHFGRJRoGNjR6TG/LvadtDP2dKt1AKCRfUh1NwW/Z5cJMSa9FlMKrULHcNWOiMKJgR2dXnsd8+tiXaoN0BnOuFrX6+R6dlytEzel2Aq9VlI8vt7hQlXrmc8LEZESDOzo9ITz6/LUmwuFRqMBzIVnXK3r1VvPjqt1oUk26DChwCJ0zObjrSrNhogSDQM7Oj3m18UFn6VI0WodAKS5GyDJPq7WDcK0YenQSMpX7Spbu1Dn4KodEQ0eAzs6NebXxY3DrnRFq3UAoJG9SPe1cLVuEMwmPcbnpQkds/l4m0qzIaJEwsCOTq29DvCduhNBPwzsopLPL2Ndkx5+Sflq6lRLO1frBmn68AwILNrhaGMHmjvc6k2IiBICAzs6NdH8OjPr10WjfbVOOFx+tBtzFY3XaiSMNdnVnVQCyEgxYHSO2KrdFubaEdEgMbCjUxPqD1sEaLjCE218fhmbvgwWnEZlG1tsZhMMHTWAn03qB2vGcLHL2QfrO+DoEtiFTkT0NQzsaGDMr4sL++uccHYHAgUlgZ1WIyHPYgqUuOmoV3t6cS/HbMLwrGTF4/2yjK2VXLUjotAxsKOBOWuZXxfjfH4ZGyu+ChI6jNnwS6dfVbWZTdBrv3xbsAsE9nRKM4ZnCI3fW+NEh1vgd4+I6CQM7GhgrF8X805erQMAWdKhw5BzyvHB1bpeIv8G6JQK05NRYE1SPN7rl7G9kjtkiSg0DOxoYMyvi2lfX63r5TSdeoNLn9U6IHApnnl2YTGjRGzVble1A64en0qzIaJ4xsCO+vP7AGe18vG8DBt1vr5a18tptA04vt9qHQB43UBnoxrTSzjDM5ORnWZUPN7j9WNHlV29CRFR3GJgR/0xvy6mnWq1DgA6DLmQpf6/9v1W63oxzy4sJEkSzrXbUWWHR2FRaSKiXgzsqD/m18W0U63WAYBf0z/PbsDVul72E+GeXsIanZMKa7Je8fhujw97ah0qzoiI4tGgArtf//rXkCQJ9913X/A2l8uFxYsXIzMzE6mpqbj22mvR0NDQ57jKykrMmzcPycnJyMnJwYMPPgivl7vAogbz62LW6Vbren297MkpV+uAQJ6dLIdreglNoxFftdt2og1eH1ftiEi5kAO7zZs3489//jMmTZrU5/b7778fy5Ytw5tvvok1a9agtrYWCxYsCN7v8/kwb948eDwerFu3Dq+99hpeffVVPProo6G/Cgofn5f5dTHsdKt1vU4O7E67WgcAPS6gsylc00t44/PMSDMpb+3W7vLiQH27ijMiongTUmDX0dGBhQsX4q9//SvS07+qrO5wOPD3v/8dzz33HC666CJMmzYNr7zyCtatW4cNGzYAAD766CPs27cP//znPzFlyhRcdtll+MUvfoE//vGP8Hg8Az6f2+2G0+ns80UqEe4PO0y9uZAQn1/GpjOs1gFAuzEXMgJNTHPNxlOv1vVinl3YaDUSpg4T60ax+Xgr/H6umhKRMiEFdosXL8a8efMwZ86cPrdv3boVPT09fW4fN24ciouLsX79egDA+vXrMXHiROTmftW3cu7cuXA6ndi7d++Az7d06VJYLJbgV1FRUSjTJiWE8uv0QNrAuyxp6O2vc8JxhtU6APBr9Og0ZEMrAfkWBfXVmGcXVmflW5BkUJ6+YO/qweHGDhVnRETxRDiw+5//+R9s27YNS5cu7XdffX09DAYDrFZrn9tzc3NRX18fHHNyUNd7f+99A3n44YfhcDiCX1VVXEFQjciHOPProobS1bpeTlMeci2nya07GfPswsqg02BKkVXomM3HWyHzHBCRAsqTPQBUVVXhhz/8IVauXAmT6TR5OWFmNBphNCqvAUUh8nkBR43y8cyvixpKV+t6dSXnI9+ocHXW0wV0tQApWSHOjr5uSpEVW0+0KS5n0tTuxvGWLpRkpag8MyKKdUIrdlu3bkVjYyOmTp0KnU4HnU6HNWvW4MUXX4ROp0Nubi48Hg/sdnuf4xoaGmCzBS7Z2Wy2frtke7/vHUMR0l4L+Fm/LtaIrtYBQMnIsdDrBFZb2V4srEx6LSYVWoSO2VTRwlU7IjojocDu4osvxu7du7Fjx47g1/Tp07Fw4cLg/+v1eqxatSp4zMGDB1FZWYny8nIAQHl5OXbv3o3Gxq8q2q9cuRJmsxmlpaVhelkUEubXxSTR1Tq9VsLUETYgNffMg3sxsAu7qcXp0GkkxeNr7S7U2LtVnBERxQOhS7FpaWk466yz+tyWkpKCzMzM4O233XYblixZgoyMDJjNZtx7770oLy/HOeecAwC45JJLUFpaiptuugnPPPMM6uvr8cgjj2Dx4sW83BpprF8Xc0JZrZtcZEWyQQdYi4D2gfNa++nNs5OUByJ0eilGHSYUmLGzSnkR4s3HW1GYnqzirIgo1oW988Tzzz+PK664Atdeey3OP/982Gw2vPXWW8H7tVotli9fDq1Wi/LycnznO9/BzTffjCeffDLcUyERzK+LSaGs1k3rLbchUqrG3QF0twnOjs5kWnEGNALB8vHmLjQ6XSrOiIhinSTHYNKG0+mExWKBw+GA2WyO9HTig70S2P668vFTbwYsBerNh87I55fx2rrjQoHd9OHp+Mbo7MA3Pd3A2heU73gdexmQP0V8onRaH+ypw/465UWIR+em4opJ+SrOiIjUpHYMw16xFCCcX8f+sJF2oH4Qq3UAoE8CUrKVP6GDZYbUMF2wzdiRxg60dg5czJ2IiIEdBYgEdtZiQMN/OpHkDyG3blLhl7l1JxO5pM4NFKrISjViZE6q4vGyDGw5LnbuiShx8NOZmF8Xg/bXO2HvElutmz58gFZWIufS5QS67crHk2JnC67a7a9rh9Ol/PwTUeJgYEeAs4b162JI2FbrgMDuZhFctVOFzWJCcYby3a5+WcbWE9zMQkT9MbAjsQ9rnQFIZf26SArbah0AGJLFOkowz041Z5eIrdrtrXGgyyPwBxkRJQQGdhRC/Tr+s4mUsK7W9WKeXVQoTE+CzaK8VWOPT8b2Srt6EyKimMRP6ETn8wLOWuXjeRk2okJZreuzE3YgIpdju+2BXDsKO0mSMEMw125ntR2uHp9KMyKiWMTALtExvy5mhLpal2I8Q4MZ0XPKVTvVjMxOQVaqQfF4d48fu2uUd64govjHwC7RMb8uZqiyWgcAxlQgWWCliHl2qpEkSbiu3bYTbejx+VWaERHFGgZ2iY75dTEhlNW6iUpW63oxzy5qjM1NgzlJr3h8l8eHvbW8PE5EAfyUTmTC+XUCvUUprA7Ut4vvhFWyWtdLJM+uqxVwK2+BRWI0GgkzTrWL+RS2HG+Fzx9z3SGJSAUM7BIZ8+tigt8vY2NFi9AxQqt1QAh5drwcq6bSPDNSjFrF49tdXhyo56odETGwS2z2E8rH6gxAaq56c6FTUn21DgBMZiDJqnw88+xUpdNqMLVYdNWuDbLMVTuiRMfALpEJ5dexP2wkDMlqXS/m2UWViYUWGPXKf+daOz042tSh4oyIKBbwkzpR+XpYvy4GiK7W6TQhrNb1Esmz62wGPJ2hPQ8pYtRpMaXIKnTMpgqu2hElOgZ2icpZA/gFCpsysBtygZ2wYqt1k4pCXK0DmGcXhcqK0qHXSorHNzhdqGztUnFGRBTtGNglKuH6dcyvG2oH6tvRNlSrdUAgx85kVj6eeXaqSzJoMbHQKnSMaFkcIoovDOwSFfProtqQr9b1Yp5d1JlabIVWo3zVrrqtG7X2bhVnRETRjJ/WiYj5dVHvYMMQr9b1EsqzawJ6GECoLc2kx/g8gZVUAJuPc9WOKFExsEtEovl16SxMPJT8fhkbj4nuhLUMfrUOEAviZRlwVA/+OemMpg9Lh6R80Q7HmjrR1O5Wb0JEFLUY2CUiofw6I5CSo95cqJ+QVusE+4ueUlJ6oHesUiK1EClk6SkGjMlNEzpmC1ftiBISA7tE1CbwYWxlft1QCnW1LjUcq3UAIElil2O5M3bITBdsM3awoR32Lo9KsyGiaMVP7ETj6wHa65SPZ37dkIroal0vkXPe0QD0uML7/DSgnDQTRmSnKB4vy4FuFESUWBjYJRpHNevXRamIr9b1Es2zc9aE9/nplESD+H11TnS4BfpBE1HMY2CXaJhfF7WiYrUOAJIzAUOy8vHMsxsyBdYkFKQnKR7v88vYdoKrdkSJhIFdohEJ7JhfN2SiZrUOYJ5dlDtbMJjfXeNAt0dglZ6IYho/tRMJ8+uiVtSs1vWyCpS4aa8HvEzSHyrDMpORYzYqHu/x+rGjyq7ehIgoqjCwSyTMr4tKgS4TYqUpzlJrta6XVWDFTvYDTtazGyqSJAmv2u2ossPt5aodUSJgYJdImF8XlQ41tqO1U/mKl04jYYaaq3UAkJIN6E3Kx7O92JAamZ2KjBSD4vGuHh/21DhUnBERRQsGdomE+XVRJ5BbF2WrdQDz7KKcRiNhmmALuW0n7PD6/CrNiIiiBT+5E4XXI5hfxzZiQyEqV+t6CeXZ1QVyOGnIjM8zI82kPMDvcHuxv65dxRkRUTRgYJconMyvizZRu1rXSyTPzu9jPbshpg1h1W7z8Vb4/bJKMyKiaMDALlGIXIbVm4BU5tepLapX64BAjqVO+e5L5tkNvbMKLEg2aBWPd3T34FAjV+2I4hkDu0Qh8qFrKQrkWJFqon61DgjkWDLPLqrptRqUFQuu2lW0Qpa5akcUrxjYJQKvB3Ayvy6ahLJaN13wsltYiFySd9YCPravGmqTCi0w6JS/lTd3eHC0qUPFGRFRJDGwSwTO6kCtMaWYX6eqUFfr0kx6lWZ0GkJ5dl6gvVa9udCATHotphRZhY757FAzd8gSxSkGdomA+XVRRXS1Thup1ToASLUBWoGAkpdjI6Ks2AqdRnn6hKO7B9sq7epNiIgihoFdImB+XdQIpcvExIIIrdYBIeTZcQNFJCQbdDirwCJ0zKaKFrS7WKKGKN4wsIt3ovl16cNVmwoBhxs70NIhuFo3PEKrdb1ELseKltWhsJk6LB0agT/KenwyvjjcrOKMiCgSGNjFO+bXRQ2/X8bGihahYyK6WtdL5N+EzytWCJvCxpKkx7i8NKFjDtS3o7qtS6UZEVEkCAV2L730EiZNmgSz2Qyz2Yzy8nKsWLEieL/L5cLixYuRmZmJ1NRUXHvttWhoaOjzGJWVlZg3bx6Sk5ORk5ODBx98EF4vd9Kppu2E8rF6U6BHKKniUGN77K3WAUBaHqAVKLPCPLuIOXdkJvRasVSKTw82sWgxURwRCuwKCwvx61//Glu3bsWWLVtw0UUX4aqrrsLevXsBAPfffz+WLVuGN998E2vWrEFtbS0WLFgQPN7n82HevHnweDxYt24dXnvtNbz66qt49NFHw/uq6Cui/WGZX6eKHp9f+LJXVKzWAYBGC5gLlY9nnl3EpJn0OLskU+iY5nY3dtc4VJoREQ01SR5kpcqMjAz85je/wXXXXYfs7Gy88cYbuO666wAABw4cwPjx47F+/Xqcc845WLFiBa644grU1tYiNzcXAPDyyy/joYceQlNTEwwGg6LndDqdsFgscDgcMJvNg5l+fPN6gC+eV34pdvQ3gcLp6s4pQa0/2oINx5RfhtVqJNw6a3h0BHYAcPwLoOJzZWO1euC8JYGNFzTkvD4//rHhBOxdyjdGmPRaLDp3OJIEulgQUWjUjmFCfuf1+Xz4n//5H3R2dqK8vBxbt25FT08P5syZExwzbtw4FBcXY/369QCA9evXY+LEicGgDgDmzp0Lp9MZXPUbiNvthtPp7PNFCjiqmF8XBRzdPdhyPIZ2wg5EKM+uB+ioV28udFo6rQazx4ilVLh6fFh3lBspiOKBcGC3e/dupKamwmg04q677sLbb7+N0tJS1NfXw2AwwGq19hmfm5uL+vrAm3x9fX2foK73/t77TmXp0qWwWCzBr6IigV16iUyofl0S8+tU8vnhJngFcpiiJrfuZGn5gIZ5drGiJCsFJVkpQsfsrnGg0elSaUZENFSEA7uxY8dix44d2LhxI+6++27ccsst2LdvnxpzC3r44YfhcDiCX1VV/NBQRCi/jvXr1FDV2oXDDWLtm84qMEfXah0Q2Dxhzlc+nnl2ESVJEmaPyYZWoGixLAOrDzaxjyxRjBMO7AwGA0aNGoVp06Zh6dKlmDx5Ml544QXYbDZ4PB7Y7fY+4xsaGmCz2QAANput3y7Z3u97xwzEaDQGd+L2ftEZeN1Au8DlMPaHDTu/X8bqg41Cxxh0GswUTH4fMiL17BxVgJ8tqyIpPcWAsmKr0DE19m4cbGhXZ0JENCQGnd3s9/vhdrsxbdo06PV6rFq1KnjfwYMHUVlZifLycgBAeXk5du/ejcbGrz7sVq5cCbPZjNLS0sFOhU7mEK1fx8Au3HbVONAsUN4EAM4ZkYEUo8Alz6EkkmfndQOdYkEthd/ZJRlIFfz39PmhZni8DMqJYpXQb/zDDz+Myy67DMXFxWhvb8cbb7yB1atX48MPP4TFYsFtt92GJUuWICMjA2azGffeey/Ky8txzjnnAAAuueQSlJaW4qabbsIzzzyD+vp6PPLII1i8eDGMRqMqLzBhCefXZak3lwTU7RFPRs9IMWBKUZTl1p3MXBAofaK0s4S9Ckg79Uo8qc+o0+K80Vn4YI/y1fsOtxebKlpx3mi+JxDFIqHArrGxETfffDPq6upgsVgwadIkfPjhh/jmN78JAHj++eeh0Whw7bXXwu12Y+7cufjTn/4UPF6r1WL58uW4++67UV5ejpSUFNxyyy148sknw/uqCLALFCZm/bqwW3e0Ge4esVUP0ZyoIafVB4oVO6qVjbefAIpmqDsnOqNxtjTsqraj1q58Y8S2yjZMyDcjPUVZCSoiih6DrmMXCaxjdwZeN/DF7wTq110CFE5TdUqJpLHdhTc2VkLkN2tEdgqumlKg3qTC5dhq4MR6ZWP1JmDWffyjIQo0Ol14Y1Oc/pskijFRW8eOophwfh3r14WLLMtf7ixUfoxWIwnXHYsYkX8rPS6gk7XRokGO2YSz8i1Cxxxr6sSxJrEd3UQUeQzs4pHIZVjm14XVoYYO1LR1Cx0ztTgd1uQYueRlLgAkgbcNlj2JGrNGZcGoF3vLX3OoCV4fN1IQxRIGdvFGloGWo8rHM78ubDxePz4/3CR0TKpRh7NLMlSakQp0RiAt98zjeon8kUGqSjJoce5IsT/i7F092F5lV2dCRKQKBnbxxn5C7PIXy5yEzZbjrWh3eYWOOW90Fgy6GPs1FLkc23oU6BFbwST1TCqwICtNrALBpopWtLuU950losiKsU8UOqPqLWLjmV8XFo6uHmw90SZ0TL7VhHG2NJVmpCKLSN9YL1C/R725kBCNRsIFgvmcHq8fa48wV5IoVjCwiyfdbUDLEeXjDSnMrwuTzwT7wUoScMHYHEixeBncUih2+b52G4R2k5CqijKSMVbwD4r9de2osXPllSgWMLCLJzWCH6C5pcyvC4PKli4caRTbPTgh34Jcs0mlGalMbwIsAu3FulqBtgr15kPCzhudBb1W7Hf/0wON8Av88UJEkcHALl54PUDdTuXjJQkoYO26wfL5Zaw+JNY6y6jXYNaoKO0Hq1T+FLHxNdtUmQaFxmzSY8ZwsU07Te1u7Kl1qDQjIgoXBnbxomFPoDCxUpmjgKQobl8VI3ZW29Ei3A82E8mGKO0Hq1TWWMCQrHx8yxHAxaAgmkwblg5Lkl7omLVHWuDqUdhSjogigoFdPJBloGar2DFcrRu0Lo8XG461CB2TmWrA5EKrOhMaSlodkDdZ+XhZBmp3qDYdEqfTajB7rNhGClePD+uPiv2bJ6KhxcAuHrQdFytxkpIFpA9XazYJY92RlvjrBysib4pYjmbdDsDP1Z5oMiIrBcOzBFZeEVilbmxX3neWiIYWA7t4ILpaVzidmyYGqcHpEs43GpmTimGZKSrNKAKSrIFL+kp5uoCmA6pNh8RJkoTZY3KgEXg/kGV82TaPGymIohEDu1jX1SpW4kRvAnImqDefBBDoB9sotAFZp5Ewe3SM9IMVUTBVbDw3UUSdjBQDyoqtQsfUtHXjUAP7yBJFIwZ2sU60RljeZEAXI31Jo9SB+nbU2sUuRU0blg5LsliiekxILxHbhOOoBjrEdhGT+maOyECKUSt0zOeHm+Dxso8sUbRhYBfLQilxki+4wkJ9eLx+fHFYrAp/mkmH6YKlJWKGJHHVLg4YdVqcN0psRbnd5cXm460qzYiIQsXALpY17A4Ed0pljQ7kRVHINh9vRYc7AfrBirBNDOySVaphD9DD5PtoMz4vDXkWsaLZW0+0wd4lVu6HiNQVx582cU6WgWrREifT1ZlLgrB3eYT7wRZYkzA2Nwb7wYrQJwE5pcrH+3oCwR1FFUmScOG4HKF9VT6/jDWHmtSbFBEJY2AXq9oqgC6BelKp2YBVoHk79bPmUBN8wv1gs2OzH6wo0bqIou3vaEjkmk2YkG8ROuZYUycqmjtVmhERiWJgF6tCWa1LhABDJcebO3GsSezDa2KBBTmx2g9WVJoNMOcrH9/VAthPqDcfCtmsUZkw6sU+GtYcbBT6o4eI1MPALhaFUuIklyVOQhXK5SajXoNzR2apNKMoxU0UcSHZoEP5CLFexm1dPdheKZamQETqYGAXi0QLEudNAbRxWGpjiOyosqO1UyxBvHxEJpIMYuUjYl72+EC+nVLNhwGXU735UMgmF1qRlSpWFmljhfjGIiIKPwZ2scbrBup3KR8fSjkKCup0i/eDzYqXfrCitDogb5Ly8bI/0GaMoo5GI+GCsTlCx4RSCoiIwo+BXaypFy1xMgYwiSVD01fWHmkWLsJ6wdgcaOKlH6yo/DKxXM7aHewfG6WKMpIxOjdV6Jj9dU7U2rtVmhERKcHALpbIcmh9YSkk9Q4X9taKXSocnZuKogyxpupxJSkdyBipfLynE2g+pN58aFC+MTobeq3YHymfHmyEnxspiCKGgV0saT0W2DihVGoOYClSbz5xrLcfrAidRsI34rEfrChuoogbliS9cNeURqdb+A8iIgofBnaxpHqL2PhCljgJ1f66dtQ5BPvBDk+HJYmbVJAxQqzDib0S6GCR22g1bVg6zIL/rtcebYarh5fYiSKBgV2s6GwJrNgppU8CcljiJBRurw9fHBELNNJMOsyI136woiQpkGsnopardtFKr9Vg9hix0j3dHh/WC246IqLwYGAXK0Rz6/KniPXvpKBNFa3odIutNpw/Jht6LX+dgmyTAI3Av7/63YEd3xSVRmanYlimWO7orioHmtp5TomGGj+JYkGPS7DEiQbIZ4mTULR1erC90i50TGF6EkbniO0ejHuGZCBnvPLx7B8b1SRJwuwx2dAIpHb4v8xTldk6jmhIMbCLBfW7Ax98SmWPAUxm9eYTxz47HEo/2JzE6AcrKpRNFAwColZmqhFTiq1Cx1S3deNwY4c6EyKiATGwi3ahlDgpYImTUFSE0A92UqEF2WlGlWYU48z5gR6ySnU2A44q9eZDgzazJAMpRrGOKp8dahKuBUlEoWNgF+1ajgLdAj0Y03IBS6F684lTPr+MNYLlTUx6LcpHJFg/WFEsfRJXTHotZo0S+zff7vJiy3GBMk1ENCgM7KJdjWCJkwKWOAnF9so2tHUJXO4GcO7IBOwHKyqnFNCblI9vOgi429WbDw1aaZ4ZNovAOQWw9UQbHIK/X0QUGgZ20ayzGWitUD7ekBz4ICUhHW4vNlaIrShkpRkxsYCt2s5Iqw/skFVK9gN1O9WbDw2aJEm4ULCPrNcvY81h1iokGgoM7KKZaG5d3hSWOAlBSP1gx2Qnbj9YUcI17XYAfuZkRTObxYQJ+WIbtI42duB4s1gOKxGJY2AXrUIqcSL4AUqoc3Rjn2D7ozG5aYndD1ZUckagG4VS7nag5bB686GwmDUqCwad2EfImkNiu86JSBwDu2hVvwvweZWPzx7LEieCAv1gxS4P6bUSviFYhZ/ATRRxKMWoQ/nITKFjWjs92FElsBmMiIQxsItGfr/4ZdjCGerMJY7trXWiXrAf7PThGTCb2A9WWMZIwCSQk9h2PNBGj6La5EIrMlMNQsdsONaKTrfAH61EJISBXTRqPQp025WPN+cFaoaRYq4eH9YdbRY6xpykx7Rh6SrNKM5pQkgVYP/YqKfVSLhgjNhGCo/Xjy+OiP3uEZFyDOyiUTVLnKgtpH6wo7PYD3Yw8iYBGoHyMPW7AK9HvflQWBRnJmOUYEu9fbVO1Dm6VZoRUWLjp1S06WgKXIZSypACZI9TbTrxqDWEfrBFGeIfXvQ1ov9WvR6gca9686GwOX9MNnSCu8Q/PdDEPrJEKhAK7JYuXYoZM2YgLS0NOTk5uPrqq3Hw4ME+Y1wuFxYvXozMzEykpqbi2muvRUNDQ58xlZWVmDdvHpKTk5GTk4MHH3wQXi9zLgCI59bll7HEiQBZlrHmUCP8Ah8oGknCBWOz2Q82HIQ3UWxl/9gYYEnSY/rwDKFjGpwu7BXckU7RxeV1oa6jDkfajqDV1cpAPUoIRQRr1qzB4sWLMWPGDHi9Xvz0pz/FJZdcgn379iElJQUAcP/99+O9997Dm2++CYvFgnvuuQcLFizA2rVrAQA+nw/z5s2DzWbDunXrUFdXh5tvvhl6vR5PPfVU+F9hLOnpBhp2Kx+v0QL5U1SbTjyqaO7E8eYuoWMmFVmQlcp+sGFhLgi0vWtvOPNYILCC7agGrEXqzosGbfrwdOyrc8LZrbzDxNojzRiVkwqTnh1cYonH58G2xm3Y1bQLXv9XizJphjRcWHQhCtPY1jKSJHkQIXZTUxNycnKwZs0anH/++XA4HMjOzsYbb7yB6667DgBw4MABjB8/HuvXr8c555yDFStW4IorrkBtbS1yc3MBAC+//DIeeughNDU1wWDov8PK7XbD7XYHv3c6nSgqKoLD4YDZHEclPio3Akc/UT4+dwJQeqV684kzXp8f/9hwAnaB1kZJBi0WnTucHzzhVLsDOLhC+fjcUqD0KtWmQ+FzuKEdy3fVCR1TVmzFBYKdLChyfH4f3qt4D9Xt1QPeL0FCeX45puRMGdqJxRCn0wmLxaJaDDOoHDuHwwEAyMgILMFv3boVPT09mDNnTnDMuHHjUFxcjPXr1wMA1q9fj4kTJwaDOgCYO3cunE4n9u4dOJ9m6dKlsFgswa+iojj86z2kEifT1ZlLnNpeZRcK6oBAP1gGdWGWUwroBFZAmw4C7g715kNhMyonVbh4984qB5o73GceSFFhQ92GUwZ1ACBDxrraddjXsm8IZ0UnCzmw8/v9uO+++zBr1iycddZZAID6+noYDAZYrdY+Y3Nzc1FfXx8cc3JQ13t/730Defjhh+FwOIJfVVVVoU47erUcBlwO5ePN+SxxIqDD7cUmwX6w2WlGnJXPfrBhpzOI9Y/1+8S6sFDESF/mo2oE8lH9XxYKZ35W9Gt1tWJXs7LfxTVVa3DMfkzlGdFAQg7sFi9ejD179uB//ud/wjmfARmNRpjN5j5fcUe0xAlX64R8cbhJvB/sWPaDVY3oJora7ewfGyOyUo2YXCT2B1FVaxeONHJVNtqtq12nOACXIeOjEx+ddnWP1BFSYHfPPfdg+fLl+PTTT1FY+FWSpM1mg8fjgd1u7zO+oaEBNpstOObru2R7v+8dk3A6GgF7pfLxLHEipNbejf117ULHjLOloTCd/WBVk5wBZJQoH+9yAi1H1JsPhdU5IzKRbBBLYVhzqAk9Pgbv0arSWYlKp8DnFAC/7MeKihVo7GpUaVY0EKHATpZl3HPPPXj77bfxySefoKSk7xvztGnToNfrsWrVquBtBw8eRGVlJcrLywEA5eXl2L17NxobvzrRK1euhNlsRmlp6WBeS+wSLkg8VazQawLz+0PrB3veaPaDVV2+6KodO1HECpNei1mjxH6H2l1ebDnOPrLRyC/7sbZ2bUjH9vh7sPzYcrS5eG6HilBgt3jxYvzzn//EG2+8gbS0NNTX16O+vh7d3YEK4haLBbfddhuWLFmCTz/9FFu3bsWtt96K8vJynHPOOQCASy65BKWlpbjpppuwc+dOfPjhh3jkkUewePFiGI0JWFLC0wU0CBRh1WiBvCmqTSfe7KtzosEp1g92xvAMpLEfrPoyRwEmgbSK1gqgSyxPkiJnQr4ZuWaT0DFbjrfCIVAuhYbGvpZ9gwrMXF4Xlh1dhg4PL7cPBaHA7qWXXoLD4cAFF1yAvLy84Ne//vWv4Jjnn38eV1xxBa699lqcf/75sNlseOutt4L3a7VaLF++HFqtFuXl5fjOd76Dm2++GU8++WT4XlUsqdsJ+AWKM+eMB4zsgKCEq8eHtYI9KS3sBzt0NBrxP1K4ahczJEnCheOyhY7x+mV8dkhshZ3U5fa5sal+06Afp6OnA8uOLUO3l63k1DaoOnaRonYNmCHj9wMbXwrkDyk1bRFgzlNtSvFk9cFG4dZh8yfns3XYUHJ3ABv+FNj5qoTOCJx7L6Dlimqs+HBvPfYJdpi4dmohijOZ4xoN1tasxc6mnWF7vNzkXFw58kroE/h3OKrr2NEgNR8SC+osBQzqFGrpcGNnlUD5GADFGckYmZ2i0oxoQMZUIGuM8vFet1jqAkXceaOyYNCJfdSsPtQInz/m1hzijt1lx+5mgW5ICjR0NeCD4x/Ap/SPORLGwC6SakQ3TbDEiRKBfrBN7AcbKwqmiY2v3cb+sTEkxajDOSMyhY5p6fBgR5VdnQmRYuvr1sMvh3+nclV7FVZVrlLlsYmBXeS0NwB2gULLxlQge6x684kjR5s6caJFrB/s5CILMtkPNjIshUCqQC5WewPgrFVvPhR2U4qsyEjp3y7ydDYca0GnWyD/mMKqur0aFY4K1R7/iP0Ivqj5goWpVcDALlJEV+vyWeJECa/PL5x8nWzQCq8oUBhJEkufxDmtJrAiLsLj9QtvfqLw8Mt+rKtdp/rz7Gnegy0Ngp+FdEYM7CLB0wU0CPTR0+iA/CmqTSeebD3RJlwuYdaoLPaDjbTcswKtxpRq3B/4PaKYMSwzBSMFNybtrXWi3iFWrogG70DrATR3C1YUMIbWfnFz/WbsamLLwHBiYBcJdTvES5wYmNR/Ju2uHmw+LlbnLMdsRGleDO+sjhc6A5A7Ufl4vy9QKohiyuzR2dAJtun79GAjL9cNIY/Pg011YuVNspKycP3Y61GYVnjmwQP4ouYLHGo7FNKx1B8Du6Hm9wE1gpeR2BdWkS8ON6PHJ/YBcMHYHPaDjRbsHxv3LMl6TBsuViey3uHCXsFyKRS6bY3b0OUVWw0/N/9c6DV6XDb8MuQk54T0vKsqV+GE80RIx1JfDOyGWvMhwC3Qt9RSCKQlaA9dATX2bhyoF+sHOz4vDQXWJJVmRMJSsoD0YcrHuxxA6zH15kOqCHR20Qkds/ZIM1w9LI+hNqfHiZ2NYivhJZaS4EqdXqvHvBHzYDVahZ9blmV8ePxD1HfWCx9LfTGwG2qifWG5WndGfr+MTw+INZk26DTCvSxpCHATRdzTazU4f4zYRooujw8bK9hOTm0bajfAJysPoDWSBuV55X1uS9IlYf7I+UjVixd69/q9WH5sOVq6W4SPpa8wsBtKzjrAUa18vDFNrHhrgtpb60RTu1vomLNL2A82KmWNFmuZ13qM/WNj0OicVBRliHWW2FFpR0uH2O85KVfXUYcj9iNCx0zMmgirydrv9jRDGuaPnA+TTqxXMBDI8Vt+bDkcbrEC8/QVBnZDqWar2PgCljg5E1ePD2uPiu3esibrUVZkVWdCNDgarVj/WFkO5NpRTJEkCbPHZEMjUBDcL8tYfbCJGylUIMsy1tauFTrGpDNhWu6pi4unm9Ixr2Qe9BrxP6A7ezqx/NhydPVw53soGNgNFU8n0ChY4kS0QXoCWn+sBd0esdyb88dkQ6flP/2olT8FkATOT/0uwCdW4oYiLzvNiElFYiUyKlu7cLSpQ6UZJa5DbYfQ2CWWzjIjd8YZV+RyU3Jxacml0Ij8Pn/J4XZg+bHlcPu4SiuKn25DpXaH8kbnAJBbChjYBPt0mjvc2CXYD3Z4VjJGZLF0TFQzpgHZAikIPa5AXTuKOeUjMpFkELsqseZQM3p83A0dLj2+Hmyo2yB0TLopHROyJigaW5RWhG8O+yYkiFcfaO5uxoqKFfCKlAcjBnZDwu8TT/JmX9jTkr+8LCPaD3b2mBz2g40F3ESREEx6LWaNFNvE5OzuwdYTbSrNKPHsaNqBzp5OoWNm5c8SWoUbaR2J84vOF50aAKC2oxYrT6xkX1kBDOyGQtNBwC1w+cBaDKTlqjefOHC0qQNVrWL5F1OKxftVUoRYiwPlT5Ry1rF/bIyakG9GjlmsT/PmilbhDjPUX4enA9sbxXJUi9KKUGwuFn6uCZkTMDNvpvBxAFDhqMDqqtXMr1SIgd1QEO0LyxInp9Xj82PNIbENE8kGLWaWZKg0Iwq7UPrHihb+pqig0Ui4cKxYUVuvX8bnh8V6QlN/G+s2Cl3mlCQJswpmhfx8U3OmYlL2pJCOPdB6AOvr1of83ImEgZ3anLWAo0b5eJMZyByt3nziwNYTbXCyH2z8s50FaAV21LF/bMzKtyZhvGBrv8MNHahs4fkOVUNnAw62HRQ6ZkLmBGSYQv8DWZIkzMqfhTHpoZXx2tG4Q3iFMRExsFObcImTaYCGp+VUnK4ebBHsB2uzmDAhn/1gY47OCNhE+sd6gfrd6s2HVHXe6CwYdGLvfZ8caECnm4n1omRZxrradULHGLQGzLDNGPRzS5KEC4suxDCzQJeZk6yvXY/9LdwsdTqMINTk7hDbrafVAXmT1ZtPHPj8UCj9YLO5YSJWCW+i2B6obUcxJ9WoE06XaOvqwZtbquB0Md9OxFH7UdR11gkdMz13OpJ04WnBqNVoccnwS5CXkhfS8aurVuOYg+0ET4WBnZpqtwuWODkL0LN36alUtXbhUINoP1gz8iz8mcas1GzAWqR8fHcb+8fGsLLidKQnixW0DQR31XB0MbhTwuv3CueqWYwWTMwSWD1XQK/R4/IRlyPTlCl8rAwZK4+vRE2HQJpTAmFgpxa/T7wifsGpq3gnOr9fxupDYsnSBp0G541mP9iYx00UCUOrkXCB4EYKIFAC5d9bqtDa6VFhVvFlV9MutHvE/kAuzy+HVoUuSEatEVeMvAJmg3iqjE/2YUXFCjR1cRPN1zGwU0vj/kC3CaXShwGp4m9oiWJ3jQPNgv1gZ5ZkINWoU2lGNGSyxwIGgaLSrUeBbrtq0yF1Dc9KwYhs8SLiHW4v3txShcZ2lwqzig9dPV3Y1ij2h09BagFKzCUqzQhI0adg/sj5SNaJF+Tv7Strd9nDP7EYxsBOLaIlTliQ+JRcPT6sO9oidEx6sh5T2A82Pmi0gTZjSrF/bMybPSYbOo14XmyXx4f/bK1GvYPB3UA21W+Cx6d8VVNCoLyJ2jnKFqMFV4y8AgateJ3Rbm83lh1bhg4PW831YmCnBkdNoGCqUiYLkDlKvfnEuPVHW+DqEesHO3tsDvvBxpO8KWL9Y+t2Aj7uloxV1mQDpg1PD+lYd48f/7utGtVtLIVysubuZuHdpOMyxiEraWjSWbKSsnB5yeXQSuKXfNs97Vh+bDlcXgb0AAM7dQiv1rHEyakcaWzHzmq70DElWSkoYT/Y+GIyA1kCf/z0dANNB9SbD6nunJJMFGWE1i/b4/Xjne01ONEi1iorXsmyjLU1ayFD+Y5xvUYfcqeIUOWn5mPu8LkhrRC2ulrx3rH30OPjJhpGE+HmbgcaBT5QtDogL7RK3PHueHMn3t9dL1S9QquRMHtMtnqTosgR3kQhWEOSoopGI2H+5DwUpIe2q73HJ+P/dtTiSCMv0R13HhfeQTo1dyqS9aEF1oMx3DIcFxVdFNKxDV0N+OD4B/CJVKOIQwzswq12OyDSrDh3IkucDKCqtQvLdtbC5xerSVZWbEU6+8HGp/ThQLJAaQRnLdBer9p0SH1GnRbXlBVgeFZoAYbPL+O9XXU4WC+2CzSe+Pw+4WLEaYY0TM6OXE3VsRljcW7+uSEdW9VehU+qPknovrIM7MLJ5xVP2mZf2H7qHN14d2ctvIJBXYpRi7PZDzZ+SRJQwNIniUav1WD+pHyMzEkN6Xi/LGPFnjrsqXGEeWaxYXfzbjjcYq+9PK8cOk1kKwpMyZmCqbmCv+9fOtx2GJ/XfJ6wwR0Du3BqEuxVmT4cSGGdtZM1trvw9vYaeLwCq55fmjUqC0Yd+8HGtdyzAukLSjXuDeTbUUzTaTWYNzEP42xpIR0vy8DKfQ3YUWUP78SiXLe3G1saxHK+81LyMNI6UqUZiZlpm4nSzNKQjt3TvEf4tccLBnbhIstAteA/Iq7W9dHS4cZb22rg7hEP6vIsJpQKNhGnGKQ3BYI7pXxeoH6PevOhIaPVSJg7wYazCiwhP8anBxqFe03Hss31m4XKmwDAufnnRk0LRkmScH7h+RhhHRHS8ZvrN2NPc+L9/jOwCxdnjVg+T5IVyIiOv4qigb3Lg7e21aDbI570qtVIuGhcTtS8GZHKhPvHbmP/2Dih0UiYMz4HU4qtIT/G54ebse5oc9xfpmt1tWJvy16hY8amj0VuSq5KMwqNRtJgTvEcFKYVhnT859Wf43Db4TDPKroxsAsX0dU6ljgJcrp68L/batDhDq3u2MXjc5BjNoV5VhS10nIBi8CbfFcr0Fah3nxoSEmShAvGZGPG8NDzaTcea8Vnh+M7uFtXu07o9ek0uiEvb6KUTqPDpcMvRXayeMUDGTI+rvwYlc5KFWYWnRhZhIPLCTQdVD5eqwdsLHECAJ1uL97aWg1nd2i1hy4Ym40J+aFfmqEYxU0UCU2SJJw3OgvnjhRvIN9r24k2fHKgMS6Du0pnpXAgU5ZThlRDaBtUhoJBa8C8knmwGq3Cx8qyjA+Of4D6zsTYJc/ALhxES5zYJgZyhRJct8eHt7ZVo60rtKBu1qgslBWHVp2eYlzWWMAgUAKj5QjgSsxdkfFs5ohMzB4bet3KXdUOfLi3AX7BHfjRzC/7sbZ2rdAxKfoUTMmeos6EwihZn4z5I+cjRS9egN7r9+K9Y++hpVusPWUsYmA3WKGUOCmYps5cYoirx4e3t9eguUMssbfXzJIMljZJZFodkCdQZ0uWgdodqk2HImdqcTrmjM9FqCm2++uceH9PnXDNzGi1r2Uf2lxtQseck3cO9Fq9SjMKrzRDGuaPnA+j1ih8rNvnxvJjy+H0OFWYWfRgYDdYjfvEyilklCR8iROP1493d9SiwRlaX7+yYivKB3EJhuJEfhmEPs3rdgAJXpE+Xk0stGDuBFvIwd3hhg4s31ULr098R340cfvc2FS/SeiY7ORsjEkfo9KM1JFhysC8EfOg14gHo509nVh2dBm6euK3lzADu8GQ5RD6wiZ2iROvz49lO2tRYw+ttthZBRbMHpPNHbAEmCxApkD/WE8X+8fGsfF5ZsybmAetJrT3hmNNnXhnR21INTSjxZb6LXB5xf5gPi//vJh8P7Wl2HDp8EuhkcTDGIfbgeXHlguXgokVDOwGw1ENtDcoH5+UDmQmbokTn1/Ge7vrUNka2l9K42xpuJhlTehk3ERBJxmdm4b5k/OhCzG4q2rtwtvbq+Hqib2VXbvLjt3Nu4WOGWkdibzUPJVmpL4icxHmFM+BBPHz3dzdjPcr3ofXH1o1hmjGwG4whFfrpoldOoojfr+MD/bU41hTZ0jHj8pJxdwJNmhCfMOmOJVeEviDSSlHNdDRqN58KOJKslJwdVkBDLrQPt5q7a6Qa2pG0vq69fALbOLTSlqU55erOKOhMSp9FM4vPD+kY2s7arHyxEqhn1ssYGAXKpcDaDqkfLxWH9gNm4BkWcbK/Q041BBaI+7hWcm47CwGdTQA9o+lARRlJOOaQQR3DU4X/rO1Cp0h1tYcatXt1ahwiNVqnJQ9CWZDfHTrmZA1AWfbzg7p2ApHBdZUrYmrsjfC/+o/++wzzJ8/H/n5+ZAkCe+8806f+2VZxqOPPoq8vDwkJSVhzpw5OHy4b9Xn1tZWLFy4EGazGVarFbfddhs6OjoG9UKGnHCJk0kJWeJElmWsPtiEfbWh7UIqTE/CFZPyodPybxA6BdtEsf6xDXuAntA27lDsyLcm4VvTCpFkCK1/dHOHB29uqYLTFVo5pqHil/1YV7tO6JhkXTKm5cZXdYZpudMwMSu0xZP9rfuxoW5DmGcUOcKflp2dnZg8eTL++Mc/Dnj/M888gxdffBEvv/wyNm7ciJSUFMydOxcu11dvpAsXLsTevXuxcuVKLF++HJ999hnuvPPO0F/FUPP1iJdOSMC+sLIs44sjzSE33s6zmHDllHzoGdTR6eiTgJwJysf7egLBHcW9HLMJ100rRIoxtOCurasHb26phr0repPsD7QeQHN3s9AxZ+edDYPWoNKMIkOSJJxXcF7IO3y3N27HjsYd4Z1UhEjyINYfJUnC22+/jauvvhpA4IM8Pz8fP/rRj/DAAw8AABwOB3Jzc/Hqq6/ihhtuwP79+1FaWorNmzdj+vRAsPPBBx/g8ssvR3V1NfLz8/s9j9vthtvtDn7vdDpRVFQEh8MBszkCS8l1O4ED7ysfnzkSmHS9evOJUhuOtWD90dCKQWanGXHdtEKY9KG9IVOCaa8HtryifHxyJnD2HQmb85po2jo9+N9t1Wh3hXZpNdWow4KpBchMFa+dpiaPz4M39r+BLq/yDWlZSVm4bsx1Ie0mjQU+vw8rjq8IuYXYRcUXYVzGuDDPqi+n0wmLxaJaDBPWM1tRUYH6+nrMmTMneJvFYsHMmTOxfv16AMD69ethtVqDQR0AzJkzBxqNBhs3bhzwcZcuXQqLxRL8KioqCue0xchyaH1hE8zWE20hB3WZqQYsmFrAoI6US7MB5v5/FJ5SVwtgP6HefCiqpKcY8K3pRbAmh1aEt8PtxX+2VqOxPbou4W9r3CYU1AHAufnnxm1QBwBajRZzh8+FLcUW0vGfVn2KY45jYZ7V0Arr2a2vD/Rhy83N7XN7bm5u8L76+nrk5OT0uV+n0yEjIyM45usefvhhOByO4FdVVVU4py3GXim2qy45A8gYod58otCuajs+O9QU0rGWJD2uKStAskEgZ4oI4CYKOi1Lkh7fml6EzNTQLkF2eXz4z9Zq1DlCq8EZbk6PEzsbdwodU2IpQWFaoUozih56jR6Xl1yODJN4dyJZlrHy+ErUdNSoMLOhERNhu9FohNls7vMVMaEUJE6gyz37ap345EBo5STSTDpcO60QaabYaG1DUSZ7fCDfTqnmw4ArvlsLUV+pRh2um1aI7LTQLqm6e/x4a1sNqtsi37VgQ+0G+GTlJVk0kgblebFf3kQpk86E+SPnI82QJnysT/ZhRcUKNHWFtkARaWEN7Gy2wNJnQ0Pfor0NDQ3B+2w2Gxob+37we71etLa2BsdErW574MNAKZ0BsJ2l2nSizeGGdny0rx6hZG2mGLW4dmohLEkM6ihEwv1j/YE2Y5RQkg2B4C7PElqVAo/Xj3e21+B4c2g1OcOhvrMeR+xHhI6ZmDURVpNVnQlFqRR9Cq4ceSWSdAJ/8H3J4/Ng+bHlsLvs4Z+YysIa2JWUlMBms2HVqlXB25xOJzZu3Ijy8sBfCuXl5bDb7di6dWtwzCeffAK/34+ZM2eGczrhV7sNQlGLbTKgi65kW7VUNHdixZ7QgjqTXotrygqRnhJfu7QoAvKniK2Q1+5g/9gEZNJrcc3UAhSmi3/gA0CPT8a7O2txpHHoy3TJsowvar4QOsakM2G6LfEqMwCAxWjB/JHzQ9oF3O3txrJjy9DZE7kgPhTCgV1HRwd27NiBHTt2AAhsmNixYwcqKyshSRLuu+8+/PKXv8S7776L3bt34+abb0Z+fn5w5+z48eNx6aWX4o477sCmTZuwdu1a3HPPPbjhhhsG3BEbNXw9gd2wSoVSODVGVbV2YfnOWvj84lGdQafBgqkFIV8aIeojKR3IEGjb5+kEmgUKjVPcMOq0uLqsAMOzkkM63ueX8d6uOhyoH9rL+YfaDqGxSyzdZUbuDBi1ifsem5WUhctLLodWEt+Q1+5px7Kjy4R78EaScGC3ZcsWlJWVoaysDACwZMkSlJWV4dFHHwUA/PjHP8a9996LO++8EzNmzEBHRwc++OADmExfLXu//vrrGDduHC6++GJcfvnlOO+88/CXv/wlTC9JJaJFTTNGBjZOxLlaezfe3VkLbwhBnV4r4eqyAuSaE69wM6mImyhIIb1Wg/mT8jEyJzWk4/1yoFXinhpHmGc2sB5fj3Ah3XRTOiZkCdR5jFP5qfm4ZPglIfUab3W14v2K99Hjj+5i1b0GVccuUtSuAdOPLAOb/wZ0ChSBnPztuN8N2+h04T/bquHuEe+zp9NIuGpKAYozQ/trmeiUZBnY+HIgJ1apGbcDqdmqTYmim88v46O99ThQH1rbQwC4YGw2yooF+haHYHP9Zmyu3yx0zBUjrkCxuVilGcWeA60H8EnlJyEdW2wuxuUllw+6XExM1bGLW/YTYkFdcmagOXkca+5w463tNSEFdRpJwuWT8hjUkTokCcgvEzumlqt2iUyrkTB3gg1nFVhCfozVB5uw+XhrGGfVV4enA9sbtwsdU5RWxKDua8ZljMO5+eeGdGxuci4kRH+VCwZ2SogWJC6cFtclTuxdHry1rRrdHvGkc0kCLptow8js0C59EClimwRoBGoh1u8GvO4zj6O4pdFImDM+B1OKrSE/xheHm7HuSLMqDeU31m2E16+8c4YkSZhVMCvs84gHU3KmoCxH+R9/EiScX3g+ZthmhHQpd6gxsDuT7jagRWBbuc4I5IbWiDgWOLp78J+t1eh0h7aT8JuluRiTK15XiEiIIRnIGa98PPvHEgLB0AVjsnF2Sej50RsrWvHZ4fAGdw2dDTjYdlDomAmZE0Iq0Jsozsk7B+MzzvweoZE0+Oawb+KsrNgpXcbA7kxqBEuc5E0K1K+LQx1uL94aRL/Fi8blYEJ+6Jc6iISEsoki9lKOKcwkScKsUVk4d2RmyI+x7UQbPjnQGJbgTpZlrKtdJ3SMQWvADNuMQT93PJMkCbOLZmOE5dS58HqNHvNK5mFU+qghnNngMbA7Ha8nhBIn8dkXttvjw1vbqmHvCm1X0DdGZ2FykTW8kyI6HXN+oIesUp3NgCOC7QopqswckYnZY0PfULOr2oEP9zbAH0LFgJMdtR9FXWed0DHTc6eHVJQ30WgkDeYMm4OC1IJ+9xm1RswfOR9F5gj2pg8RA7vTadgjlneTOSpQRyvOuHp8eGt7NVo6PCEdP3NEBqYP5yUBigDhVbutZx5DCWNqcTrmjM8NOWV6f50T7++pC6nGJwB4/V6sr1svdIzFaMHErPhNBwo3nUaHy0ouQ1ZSVvC2FH0Krhl9DWwpUd4N6xQY2J2KLIu/ycfhap3H68f/7ahBozO0xPJpw9JRPiL0SxpEg5JTCugF6iQ2HQLcoZe8oPgzsdCCuRNs0IQY3R1u6MCynbXo8YlXENjVtAvtHrF/j+X55dBqxAvxJjKD1oArRlwBi9ECq9GKBaMXxHR+IgO7U2k7LlbiJCULSB+u1mwiosfnx7s7a1FrD63i9qRCC74xOismdhFRnNLqAztklZL9YukXlBDG55lx+UQbtJrQ3ssqmjvxfztq4fEqD+66erqwrVGsDE9BagFKzPFdakstyfpkXDnySlw96mqkGWJ7gx8Du1MJZbUujgKY3nY5Va1dIR0/Ps+Mi8blMKijyBOuabcD8IuvrlB8G52bhvmT86ELMbirau3C29ur4epRVlFgU/0meHzK018kBMqb8D03dGmGNCTrY7++KgO7gXS1hlDiJHa2Qp+J3y9jxZ46VDSH1vh4dG4qLinN5RsMRYfkDLEuMO52oOWwevOhmFWSlYKrywpg0IX20Vlrd+F/FdQAbe5uxv6W/UKPPS5jXJ88MUpcDOwGUita4mRy3JQ4kWUZH+1rwOGGjpCOL8lKwWVn5UET4l+1RKrgJgoKk6KMZFxTVgCjPrSPz0anG//ZWoVO98Blo2RZxtqatZCh/DNIr9FjZt7MkOZD8YeB3dclcIkTWZbxyYFG7K9zhnR8UUYy5k3KCzkPhUg1GSMBk0ANxTbBNoKUUPKtSbhuaiGSDKFtUmju8ODNLVVwuvqXjzruPI6ajhqhx5uaOzUuLiFSeDCw+7qG3YHgTqnMUUCSVbXpDBVZlvH54WbsqnaEdHy+1YQrJ+dDr+U/KYpCGk0IuXZifTkpseSYTbhuWiFSjKEFd21dPXhzSzXsXV993vj8PuFixGmGNEzOnhzSHCg+8VP4ZLIMVAtegimcrs5chtiGY63YeqItpGNzzEZcNSX0vBOiIZE3CRApA1G/S+yPPEo4WalGfGtaEdJMAn2JT+LsDgR3zR2BclK7m3fD4Rb747o8rxw6kb7IFPf4SXyytgqgq0X5+JQswDpMvfkMkS3HW7HhmMDrPklmqgELygph0rNuEkU5QwqQPU75eK8HaNyr3nwoLqSnGPCt6UWwJutDOr7D7cXrGyrx7q7jWFO5UejYvJQ8jLSODOl5KX4xsDtZKKt1Mb7zc2eVHZ8fDi2XyJqsx4JB5JkQDblQNlGwfyydgSVJj29NL0Jmamib6PyyjNUn1mPLiUCOs73Lo6jP7Ln557L6APXDwK6XaIkTvSnmS5zsrXXgkwONIR2bZtLh2mmFSDXyEgDFEHMBkJarfHxHE+CoVm8+FDdSjTpcN60Q2WlG4WO7fQ409xwFANi7erC/rh27ahxoanfDf4oAb2z6WOSmCPxbpoTBwK5XjViFb+RNCVS1j1GHGtqxcl9DSMemGLW4blohzKbYff2UoCQJyBdctasVfG+ghJVsCAR3eRaBNnYAat07+63Qdbl9ONLYge2VdtTau+E9qSWZTqNjeRM6JQZ2AOB1A/WiJU4EPxyiyNGmDqzYXR/SFaYkgxYLphbCmhwfdfsoAeVOCBQVV6rpIOAOra4jJR6TXotrphagMD1J0Xintw4Ob90p7/d4/TjR0oVtlXYcb+mEq8eHspwypBpSwzVlijMM7ACgXrDESdYYsZpYUaSypQvv76o75fL+6Rj1GiwoK0BWqvilBqKoIdo/1u8DqjezzRgpZtRpcXVZAYZnnb62nCz7Ue3eoegxfX4ZdXYX9lV7UN+Qi0ZnaD28Kf4xsJNl8SrzMVripMbejXd31sDrFw/qDDoNrp5SgByz2CUGoqgkuuJeuQFY/wfg8ErAXsUNFXRGeq0G8yflY1TOqVfWmnuOweUTKwhvM07EkUYXXt9Yif9srUZFc6eijRaUOJj53nossHFCqdQcwFKk3nxU0uB04Z3tNejxib8B6DQSrpycj3yrsksLRFEvOQPIKAFaK5Qf4+kEqrcEvkzmQOmUnFIgzRbzu+NJHTqtBvMm5uGjffXYX9fe5z6v7EGde4/Q4yVr05Gh+6rEVlVrF6pau5CZasDU4nSMs6VBxyLxCY+BXXcboNEB/oH79vUTgyVOmtrdeGtbDTxe8UtJWo2EKybnoyiD7WoozuRPFQvsTuZyAlWbAl9J6UDOl0FeSnbMvT+QujQaCZeU2mDUa7Gj0h68vcG9D17ZLfRYhcayAcubtHR4sHJfA9YdbcaUonRMKrSwtmgCY2BXOD3whly3M3BJ1t1+6rH6pMDYGNLW6cHb26vh6vEJHytJwGVn2VCSlaLCzIgiLHNUYOXNFVpv5KDuNuDE+sBXShaQMz7wPpGcEZ55UszTaCRcODYHJZkpWH2wEXUdrWjqOSz0GOn6IqTqsk87ptPtw9ojzdhU0YIJBRZMLUqHJcTCyRS7JDkGL847nU5YLBY4HA6YzebwPbDfDzQfAmq2BPJovm5YOTDigvA9n4q8Pj8a2t1YsbsO7S6Fq5FfM3eCDaX5Yfz5EkWb42uBis/Ueey0XCB7fCDQi4N+0hQesizjtV3vYHPNATi7lb03ayQtxqdcBqNG7I9sSQJG56Rh6jAr8ixMpYkWqsUwX+KK3ck0mi8vqYwD2usDK3gN+wKXaaUQmogPEVePD03tbjS2u9HU7kZTuwutnT0h7XztdfH4HAZ1FP/yJgMn1gZ2voZbe0Pg69hqwJwfWMXLHhtYJaSEVdNRgy65DhPyLehweVHr6EZrp+e0+3FyDGOEgzogsMfnUEM7DjW0oyA9CdOGpWNEVgq7VcQ5BnankmYDxs0LrNDV7QwkTke4xIksy+hwe/sEcY3tbji7e8L6POePycakQmtYH5MoKhlTA3Xt6nap+zzO2sDX0VWApTCwipc9LtC/lhKGX/ZjXe264PepJh3GmNLg6vGhzuFCU7sLvq+lQus1JuQaxg/6uWvaulHT1o30ZD2mDcvAuLw06LnRIi7xUmyUkmUZ9q6ekwI4F5ra3ejyqLCycJLykZk4Z0Smqs9BFFXcHcDmvwE93UP7vJIGSB8WCPKyxgRyeCmu7WvZh9VVq095v9fnR4PTjXpnNzzewEdzsWkGsgwjwj6XZIMWk4usmFxoZb/vIaZ2DMPALgr4/DJaOk6+lOpGU4c7pF2sgzF9eDrOG5XFZXpKPJ3NwK5/Ay5HZJ5fowXSS74M8kaLdcagmODxefDG/jfQ5e0641i/X0ZzhxvOziQUai+EJKm3sqbTSCjNN2NqcTrSU9hRaCgwsBtALAd2bq8PzR0eNDpdwUuprZ0e+EIoGhxOU4qsuGBsNoM6Slw+L1C/K9CJxlkbuXlodEDmyEBOXubImO5Jnah8fh/a3G1o6mpCc3czmrub0eJqgccn0OEIwPwR8+H1ZGDriTZUtZ45IBwMSQJGZKdi2rB05FtM/CxQEQO7AcRKYNf5ZT5cU4cbjc7ApgZ7d0/UFa0vzTfjktJc/iIT9epuAxoPAE37AxsgIkWrD6zg5ZQGVvS0TIuONj2+nmDw1tQdCORaXa3wy4O74lJiKcFlJZcFv290urD1RBsONXQMamOcEnkWE6YNS8fI7FRoNPxcCDcGdgOItsBOlmU4u73BPLjeS6od7tDKjAylsbY0XDrBxl9eolPpbAkEeI37A5dsI0VnDOyqzRkPWIcHdvHTkOrq6QoGcb2BnNPthIzwfoxqJA1uGHsDrCZrv/ucrh5sr7RjT41D9XQdS5IeU4elozTPDIOO/97ChYHdACIZ2Pn9Mlo6PX02NDR1uOHuib0G4SOyU3DFpHxoGdQRnZksA51NgQCvcX9gVS9S9ElftjQbH2hxyCAvrGRZhtPjREt3S3AVrrm7GZ09nUPy/JOzJ2NWwazTjnH1+LCnxoEdVfaQa5UqZdJrMbnQgslFVqQYuWo8WAzsBjBUgV2Pz4/m4GXUwEpcS4cb3gjnw4XD8KxkzJ+Uz76CRKGQ5UCty8Z9QNOBwXevGAxj6leFkM35bGkmyC/70eZq63c5VTQfLlxMOhMWjl8Io1bZBhqfX8bB+nZsrWxDc7tYizJROo2EcXlmTC22IjOVG3xCxcBuAGr8ULo9vi9X31yBQK7DfcaikbFIr5UwtTgd54zI5OVXonCQZcBRHQjwGvcHal5GisnyVd/a1FwGeV/T4+9BS3dLn5W4lu4W+GR1y0iJ+EbBNzAxe6LwcbIso7K1C1tPtOFEi7obLYDAFZ+pxekoTE9ifrYgBnYDCPcP5d9bqlDTNsQ1rIZIskGL7DQjctJMyDUbMSwzhbkSRGrx+wFHZSDAazoA9LgiN5fkjC8LIY8HUk/fYzQeubyufvlwdpc97Plw4ZRuSse3x34bmkGWN2lqd2PriTYcrG9XfaNFrjmw0WJ0DjdaKMXAbgDh/qEs21mLI40dYZhZZJmT9MhJM34ZyAX+m2rU8a8pokjw+4C244Egr/kg4I3MpT0AgZU8nRHQGgI7bTW6L/+rD/z35P8XuS8K3ltkWUZHT0efIK65uxntnvZIT03YFSOuQLG5OGyP1+7qwY4qO3ZVq7/RItmgRbJBC61GA51Ggvakr97vdVrp9PdrNH2+73ef9qT7JClmA0n2ih0COWnGmArsJAnITDEgO82I7DRTMIgz6Vk9nChqaLSBOnSZIwHfpUDrsUBOXsvhQM28oaRW4WWt7qSgTx/4Xmv46v8V3ac7KeAc4L6Tgke/7IfD7eizoaG5uxkubwRXRsNkcvbksAZ1AJBm0uMbo7NxdkkG9tQ4sb2yTbWNFl0en+qdkb5OI/UGiycHgIHgUatBnyDy68GlVjr5+/7B5dcfM8dsGtLXNhgM7ABkpxlxoPND+BF9O1u1koQUow5pJh1Sv/xvilEHrUZCG4C2buBQN4DGSM+UiM5ICyAzD+hqCmy+6GwGBlnvLK5JACRt4EujRYe/Bz1R+D49GBpoMDOlEFPce4Gafao8hxHANABlBhlNbjcqW7vQ7gpvj/FY4vvySymP3opLb7xHremEHQM7ADlmE1x+56ALSg6WTishxaBDslGLFIMOKUYtkvTaL/9g9QLwwgfAGcErOkQUBnojkDEMsBYAXS2BAK+7DXG3W4v60UoaZGpNyNKYYNOlYLguDSZZF/h3oDINgFwtkJMtw9ntR52jG21diRvgKaXVxtbVsIgFdn/84x/xm9/8BvX19Zg8eTJ+//vf4+yzz47IXFIMWui1EoaynrBRp+kTwCUbdDDqNMyHI0okGl1g92pqLuDr+TLIawpcOmWQF/MMkhbZ2iRkaU3I0iYhS5uEdI0Rmgi/z0uQYEnSw5KkR5fHizqHC80dbsRBJS9VRPp8iYpIYPevf/0LS5Yswcsvv4yZM2fid7/7HebOnYuDBw8iJydnyOcjfXm50+0Nf36AJAWKO6YYtEgx6pD85X/1rB9HRCfT6oE0W+DL6wG6mgMreWrlx1FYpWj0yNIm9Qnk0iR91P+xnmzQYWR2KooyktHgcKHe6YqLWq3hFGubNCIS2D333HO44447cOuttwIAXn75Zbz33nv47//+b/zkJz+JxJSQYtChtXNwxR01EpD0ZeB28kocOzsQkRCdIVBs2JwPeN2BAK+zCXDH3k7PeCNJEswaQyCA05iQrU1CpjYJyZrYzmwyaDUoykhGvjUJTR1u1Nm74VJ5J22s0EZ5cP51Q/4v0ePxYOvWrXj44YeDt2k0GsyZMwfr168f8Bi32w23+6ugy+EI/AXrdIav2rvW64WnS/nOKq1G+jIH7qsAzqTXnLRkKwNeLzze6O8XS0RRTpsBmDMCdfG6WgKreR71i9AmOo0kIV1jRKY2CVlf/jdTa4Re0gIygln4XnjhRPy81ydrgREZJrR196DO4UJnDPQ9V5NG6wprvNH7WGpVmxvywK65uRk+nw+5ubl9bs/NzcWBAwcGPGbp0qV44okn+t1eVFSkyhyJiIiIgm59LOwP2dLSAovFEvbHjYm144cffhhLliwJfu/3+9Ha2orMzMyoz184E6fTiaKiIlRVVana95bE8LxEJ56X6MTzEp14XqKTw+FAcXExMjIyVHn8IQ/ssrKyoNVq0dDQ0Of2hoYG2Gy2AY8xGo0wGvs2HLZarWpNMSLMZjN/8aIQz0t04nmJTjwv0YnnJTppNOpsohzyrZkGgwHTpk3DqlWrgrf5/X6sWrUK5eXlQz0dIiIiorgRkUuxS5YswS233ILp06fj7LPPxu9+9zt0dnYGd8kSERERkbiIBHbf/va30dTUhEcffRT19fWYMmUKPvjgg34bKhKB0WjEY4891u9SM0UWz0t04nmJTjwv0YnnJTqpfV4kWa39tkREREQ0pNj+gIiIiChOMLAjIiIiihMM7IiIiIjiBAM7IiIiojjBwG6I1NTU4Dvf+Q4yMzORlJSEiRMnYsuWLcH7ZVnGo48+iry8PCQlJWHOnDk4fPhwBGcc/3w+H37+85+jpKQESUlJGDlyJH7xi1/06d/H86K+zz77DPPnz0d+fj4kScI777zT534l56C1tRULFy6E2WyG1WrFbbfdho6OjiF8FfHndOelp6cHDz30ECZOnIiUlBTk5+fj5ptvRm1tbZ/H4HkJvzP9vpzsrrvugiRJ+N3vftfndp6X8FNyXvbv348rr7wSFosFKSkpmDFjBiorK4P3u1wuLF68GJmZmUhNTcW1117br5mDEgzshkBbWxtmzZoFvV6PFStWYN++fXj22WeRnp4eHPPMM8/gxRdfxMsvv4yNGzciJSUFc+fOhcvliuDM49vTTz+Nl156CX/4wx+wf/9+PP3003jmmWfw+9//PjiG50V9nZ2dmDx5Mv74xz8OeL+Sc7Bw4ULs3bsXK1euxPLly/HZZ5/hzjvvHKqXEJdOd166urqwbds2/PznP8e2bdvw1ltv4eDBg7jyyiv7jON5Cb8z/b70evvtt7Fhwwbk5+f3u4/nJfzOdF6OHj2K8847D+PGjcPq1auxa9cu/PznP4fJZAqOuf/++7Fs2TK8+eabWLNmDWpra7FgwQLxycikuoceekg+77zzTnm/3++XbTab/Jvf/CZ4m91ul41Go/z//X//31BMMSHNmzdP/u53v9vntgULFsgLFy6UZZnnJRIAyG+//XbweyXnYN++fTIAefPmzcExK1askCVJkmtqaoZs7vHs6+dlIJs2bZIByCdOnJBlmedlKJzqvFRXV8sFBQXynj175GHDhsnPP/988D6eF/UNdF6+/e1vy9/5zndOeYzdbpf1er385ptvBm/bv3+/DEBev3690PNzxW4IvPvuu5g+fTq+9a1vIScnB2VlZfjrX/8avL+iogL19fWYM2dO8DaLxYKZM2di/fr1kZhyQjj33HOxatUqHDp0CACwc+dOfPHFF7jssssA8LxEAyXnYP369bBarZg+fXpwzJw5c6DRaLBx48Yhn3OicjgckCQp2Meb5yUy/H4/brrpJjz44IOYMGFCv/t5Xoae3+/He++9hzFjxmDu3LnIycnBzJkz+1yu3bp1K3p6evq8140bNw7FxcXCnzcM7IbAsWPH8NJLL2H06NH48MMPcffdd+MHP/gBXnvtNQBAfX09APTrvJGbmxu8j8LvJz/5CW644QaMGzcOer0eZWVluO+++7Bw4UIAPC/RQMk5qK+vR05OTp/7dTodMjIyeJ6GiMvlwkMPPYQbb7wx2Gye5yUynn76aeh0OvzgBz8Y8H6el6HX2NiIjo4O/PrXv8all16Kjz76CNdccw0WLFiANWvWAAicF4PBEPzDqFconzcRaSmWaPx+P6ZPn46nnnoKAFBWVoY9e/bg5Zdfxi233BLh2SWuf//733j99dfxxhtvYMKECdixYwfuu+8+5Ofn87wQKdTT04Prr78esizjpZdeivR0EtrWrVvxwgsvYNu2bZAkKdLToS/5/X4AwFVXXYX7778fADBlyhSsW7cOL7/8MmbPnh3W5+OK3RDIy8tDaWlpn9vGjx8f3A1js9kAoN/ul4aGhuB9FH4PPvhgcNVu4sSJuOmmm3D//fdj6dKlAHheooGSc2Cz2dDY2Njnfq/Xi9bWVp4nlfUGdSdOnMDKlSuDq3UAz0skfP7552hsbERxcTF0Oh10Oh1OnDiBH/3oRxg+fDgAnpdIyMrKgk6nO2Mc4PF4YLfb+4wJ5fOGgd0QmDVrFg4ePNjntkOHDmHYsGEAgJKSEthsNqxatSp4v9PpxMaNG1FeXj6kc00kXV1d0Gj6/gpotdrgX1c8L5Gn5ByUl5fDbrdj69atwTGffPIJ/H4/Zs6cOeRzThS9Qd3hw4fx8ccfIzMzs8/9PC9D76abbsKuXbuwY8eO4Fd+fj4efPBBfPjhhwB4XiLBYDBgxowZp40Dpk2bBr1e3+e97uDBg6isrBT/vBHaakEh2bRpk6zT6eRf/epX8uHDh+XXX39dTk5Olv/5z38Gx/z617+WrVar/H//93/yrl275KuuukouKSmRu7u7Izjz+HbLLbfIBQUF8vLly+WKigr5rbfekrOysuQf//jHwTE8L+prb2+Xt2/fLm/fvl0GID/33HPy9u3bg7srlZyDSy+9VC4rK5M3btwof/HFF/Lo0aPlG2+8MVIvKS6c7rx4PB75yiuvlAsLC+UdO3bIdXV1wS+32x18DJ6X8DvT78vXfX1XrCzzvKjhTOflrbfekvV6vfyXv/xFPnz4sPz73/9e1mq18ueffx58jLvuuksuLi6WP/nkE3nLli1yeXm5XF5eLjwXBnZDZNmyZfJZZ50lG41Gedy4cfJf/vKXPvf7/X755z//uZybmysbjUb54osvlg8ePBih2SYGp9Mp//CHP5SLi4tlk8kkjxgxQv7Zz37W54OJ50V9n376qQyg39ctt9wiy7Kyc9DS0iLfeOONcmpqqmw2m+Vbb71Vbm9vj8CriR+nOy8VFRUD3gdA/vTTT4OPwfMSfmf6ffm6gQI7npfwU3Je/v73v8ujRo2STSaTPHnyZPmdd97p8xjd3d3y97//fTk9PV1OTk6Wr7nmGrmurk54LpIsn1Rmn4iIiIhiFnPsiIiIiOIEAzsiIiKiOMHAjoiIiChOMLAjIiIiihMM7IiIiIjiBAM7IiIiojjBwI6IiIgoTjCwIyIiIooTDOyIiL5GkiS88847kZ4GEZEwBnZEFFcWLVqEq6++OtLTICKKCAZ2RERERHGCgR0Rxa0LLrgAP/jBD/DjH/8YGRkZsNlsePzxx/uMOXz4MM4//3yYTCaUlpZi5cqV/R6nqqoK119/PaxWKzIyMnDVVVfh+PHjAIADBw4gOTkZb7zxRnD8v//9byQlJWHfvn1qvjwion4Y2BFRXHvttdeQkpKCjRs34plnnsGTTz4ZDN78fj8WLFgAg8GAjRs34uWXX8ZDDz3U5/ienh7MnTsXaWlp+Pzzz7F27Vqkpqbi0ksvhcfjwbhx4/Db3/4W3//+91FZWYnq6mrcddddePrpp1FaWhqJl0xECUySZVmO9CSIiMJl0aJFsNvteOedd3DBBRfA5/Ph888/D95/9tln46KLLsKvf/1rfPTRR5g3bx5OnDiB/Px8AMAHH3yAyy67DG+//Tauvvpq/POf/8Qvf/lL7N+/H5IkAQA8Hg+sViveeecdXHLJJQCAK664Ak6nEwaDAVqtFh988EFwPBHRUNFFegJERGqaNGlSn+/z8vLQ2NgIANi/fz+KioqCQR0AlJeX9xm/c+dOHDlyBGlpaX1ud7lcOHr0aPD7//7v/8aYMWOg0Wiwd+9eBnVEFBEM7Igorun1+j7fS5IEv9+v+PiOjg5MmzYNr7/+er/7srOzg/+/c+dOdHZ2QqPRoK6uDnl5eaFPmogoRAzsiChhjR8/HlVVVX0CsQ0bNvQZM3XqVPzrX/9CTk4OzGbzgI/T2tqKRYsW4Wc/+xnq6uqwcOFCbNu2DUlJSaq/BiKik3HzBBElrDlz5mDMmDG45ZZbsHPnTnz++ef42c9+1mfMwoULkZWVhauuugqff/45KioqsHr1avzgBz9AdXU1AOCuu+5CUVERHnnkETz33HPw+Xx44IEHIvGSiCjBMbAjooSl0Wjw9ttvo7u7G2effTZuv/12/OpXv+ozJjk5GZ999hmKi4uxYMECjB8/HrfddhtcLhfMZjP+3//7f3j//ffxj3/8AzqdDikpKfjnP/+Jv/71r1ixYkWEXhkRJSruiiUiIiKKE1yxIyIiIooTDOyIiIiI4gQDOyIiIqI4wcCOiIiIKE4wsCMiIiKKEwzsiIiIiOIEAzsiIiKiOMHAjoiIiChOMLAjIiIiihMM7IiIiIjiBAM7IiIiojjx/wNGeuVvKO5KDwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Add some options\n",
    "collection.plot.line(alpha=.5, lw=8, xlabel=\"Index\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting in vega\n",
    "\n",
    "(Currently broken)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set_default_backend(\"vega\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# collection.plot.scatter(legend=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#collection.plot.line(lw=7, legend=True, alpha=.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}