websky_catalog.ipynb

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   "source": [
    "import h5py\n",
    "import numpy as np\n",
    "import healpy as hp\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "# Fit log-polynomial to Websky radio galaxies\n",
    "\n",
    "The websky team released catalogs of radio galaxies with their coordinates and with their flux and polarized flux at frequencies between ~20 and ~900 GHz.\n",
    "\n",
    "The purpose of this notebook is to inspect those catalogs and compute fitting coefficients that can reasonably approximage the flux and polarized flux."
   ]
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     "text": [
      "/global/common/software/cmb/zonca/conda/pycmb/lib/python3.10/site-packages/tqdm/auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
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   ],
   "source": [
    "%load_ext jupyter_ai"
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/global/cfs/cdirs/sobs/www/users/Radio_WebSky/matched_catalogs_2\n"
     ]
    }
   ],
   "source": [
    "cd /global/cfs/cdirs/sobs/www/users/Radio_WebSky/matched_catalogs_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "aef69fd6-05a3-4acb-b846-f9d3725c99a3",
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     "text": [
      "catalog_100.0.h5  catalog_232.0.h5  catalog_353.0.h5  catalog_643.0.h5\r\n",
      "catalog_111.0.h5  catalog_24.5.h5   catalog_375.0.h5  catalog_67.8.h5\r\n",
      "catalog_129.0.h5  catalog_256.0.h5  catalog_409.0.h5  catalog_70.0.h5\r\n",
      "catalog_143.0.h5  catalog_27.3.h5   catalog_41.7.h5   catalog_729.0.h5\r\n",
      "catalog_153.0.h5  catalog_275.0.h5  catalog_44.0.h5   catalog_73.7.h5\r\n",
      "catalog_164.0.h5  catalog_294.0.h5  catalog_467.0.h5  catalog_79.6.h5\r\n",
      "catalog_18.7.h5   catalog_30.0.h5   catalog_47.4.h5   catalog_817.0.h5\r\n",
      "catalog_189.0.h5  catalog_306.0.h5  catalog_525.0.h5  catalog_857.0.h5\r\n",
      "catalog_21.6.h5   catalog_314.0.h5  catalog_545.0.h5  catalog_90.2.h5\r\n",
      "catalog_210.0.h5  catalog_340.0.h5  catalog_584.0.h5  catalog_906.0.h5\r\n",
      "catalog_217.0.h5  catalog_35.9.h5   catalog_63.9.h5\r\n"
     ]
    }
   ],
   "source": [
    "%ls "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4530ae16-2b20-464c-a554-0e3970016f22",
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    "tags": []
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   "outputs": [],
   "source": [
    "cat = h5py.File(\"catalog_217.0.h5\", \"r\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e6dc7a66-6ad6-4665-bc7c-ad75cf90d0e3",
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "<KeysViewHDF5 ['flux', 'phi', 'polarized flux', 'theta']>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cat.keys()"
   ]
  },
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   "cell_type": "code",
   "execution_count": 7,
   "id": "5a8c405b-767c-4e35-8be1-a8e612bd187b",
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     "text": [
      "flux [1.83476104e-07 3.15539722e-07 2.32608542e-07]\n",
      "phi [3.22861886 3.22861886 3.22861886]\n",
      "polarized flux [2.57622279e-09 7.17693061e-09 1.11259690e-09]\n",
      "theta [1.64009452 1.64009452 1.64009452]\n"
     ]
    }
   ],
   "source": [
    "for k,v in cat.items():\n",
    "    print(k, v[:3])"
   ]
  },
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   "cell_type": "code",
   "execution_count": 8,
   "id": "65f280fc-861a-4165-a39a-1f7ad20c057f",
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   "source": [
    "freqs = [\"18.7\", \"24.5\", \"44.0\", \"70.0\", \"100.0\", \"143.0\", \"217.0\", \"353.0\", \"545.0\", \"643.0\", \"729.0\", \"857.0\", \"906.0\"] "
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  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c8966fb8-91ed-4b5f-baeb-a494cec24087",
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     "name": "stdout",
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     "text": [
      "18.7\n",
      "24.5\n",
      "44.0\n",
      "70.0\n",
      "100.0\n",
      "143.0\n",
      "217.0\n",
      "353.0\n",
      "545.0\n",
      "643.0\n",
      "729.0\n",
      "857.0\n",
      "906.0\n"
     ]
    }
   ],
   "source": [
    "n = 20\n",
    "\n",
    "indices = {}\n",
    "\n",
    "for freq in freqs:\n",
    "    print(freq)\n",
    "    cat = h5py.File(f\"catalog_{freq}.h5\", \"r\")\n",
    "    indices[freq] = np.sort(np.argpartition(cat[\"flux\"], -n)[-n:])"
   ]
  },
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   "cell_type": "code",
   "execution_count": 10,
   "id": "71cd1695-e6d3-4c22-94f4-fcb87489cf4b",
   "metadata": {
    "tags": []
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   "outputs": [],
   "source": [
    "all_indices = set()\n",
    "for v in indices.values():\n",
    "    all_indices.update(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "87c4f114-f751-4555-a6aa-93cfca1e49d3",
   "metadata": {
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    {
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       "43"
      ]
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     "execution_count": 11,
     "metadata": {},
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   "source": [
    "len(all_indices)"
   ]
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   "cell_type": "code",
   "execution_count": 12,
   "id": "33a46bd0-2fe2-4c9a-a01c-8a49071f1a05",
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   "source": [
    "%%ai gemini:gemini-pro -f code\n",
    "\n",
    "convert the all_indices set in a sorted array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "99e0f109",
   "metadata": {},
   "outputs": [],
   "source": [
    "def all_indices(nums, target):\n",
    "  return [i for i, x in enumerate(nums) if x == target]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7f615ee7",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_indices = sorted(all_indices)"
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  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "43abbecc",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_indices = np.array(sorted(all_indices))"
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  },
  {
   "cell_type": "markdown",
   "id": "56de4a97",
   "metadata": {},
   "source": [
    "## Extract brightest sources from catalogs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "33e42f95",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import xarray as xr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "2bc040a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<KeysViewHDF5 ['flux', 'phi', 'polarized flux', 'theta']>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cat.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8a14712e",
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = [\"theta\", \"phi\", \"flux\", \"polarized flux\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "10476253",
   "metadata": {},
   "outputs": [],
   "source": [
    "import xarray as xr\n",
    "\n",
    "flux = xr.DataArray(\n",
    "    data=np.zeros((len(all_indices), len(freqs)), dtype=np.float64),\n",
    "    coords={\"index\": all_indices, \"freq\": list(map(float,freqs))},\n",
    "    name=\"flux\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "265f1eca",
   "metadata": {},
   "outputs": [],
   "source": [
    "polarized_flux = flux.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c2db71d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "sources_xr = xr.Dataset({\"flux\":flux,\"polarized_flux\":polarized_flux})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "99e43c00",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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     "text": [
      "18.7\n",
      "24.5\n",
      "44.0\n",
      "70.0\n",
      "100.0\n",
      "143.0\n",
      "217.0\n",
      "353.0\n",
      "545.0\n",
      "643.0\n",
      "729.0\n",
      "857.0\n",
      "906.0\n"
     ]
    }
   ],
   "source": [
    "for freq in freqs:\n",
    "    print(freq)\n",
    "    cat = h5py.File(f\"catalog_{freq}.h5\", \"r\")\n",
    "    # Get the indices of the 10 largest values\n",
    "    for column in [\"flux\", \"polarized_flux\"]:\n",
    "        sources_xr[column].loc[dict(index=all_indices, freq=float(freq))] = cat[column.replace(\"_\",\" \")][all_indices] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f2465574",
   "metadata": {},
   "outputs": [
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       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt; Size: 9kB\n",
       "Dimensions:         (index: 43, freq: 13)\n",
       "Coordinates:\n",
       "  * index           (index) int64 344B 27897657 157969580 ... 281569233\n",
       "  * freq            (freq) float64 104B 18.7 24.5 44.0 ... 729.0 857.0 906.0\n",
       "Data variables:\n",
       "    flux            (index, freq) float64 4kB 133.4 102.8 74.18 ... 2.221 2.221\n",
       "    polarized_flux  (index, freq) float64 4kB 2.656 2.976 ... 0.121 0.05634</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-25864aff-4b9e-40b6-b840-4286d7250b32' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-25864aff-4b9e-40b6-b840-4286d7250b32' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>index</span>: 43</li><li><span class='xr-has-index'>freq</span>: 13</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-fa82a040-9c36-4497-80d0-302c8e11c6c2' class='xr-section-summary-in' type='checkbox'  checked><label for='section-fa82a040-9c36-4497-80d0-302c8e11c6c2' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>index</span></div><div class='xr-var-dims'>(index)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>27897657 157969580 ... 281569233</div><input id='attrs-83e72e49-dcde-4ec6-9555-14497de98861' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-83e72e49-dcde-4ec6-9555-14497de98861' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b6ea937b-7277-4416-9fdc-0c4bb80fba52' class='xr-var-data-in' type='checkbox'><label for='data-b6ea937b-7277-4416-9fdc-0c4bb80fba52' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 27897657, 157969580, 229540223, 229541828, 232278819, 234720973,\n",
       "       235650239, 236565471, 238295706, 239411656, 240798167, 242175600,\n",
       "       245994208, 246386426, 248611597, 249045063, 251679008, 252717495,\n",
       "       253440130, 253991141, 256213631, 256821658, 257831473, 259533227,\n",
       "       260109654, 260125696, 262012719, 263719520, 264564923, 266724752,\n",
       "       269318895, 270516228, 270679487, 271845884, 272762792, 273844535,\n",
       "       275329098, 276407774, 277336080, 277473504, 278235058, 281544643,\n",
       "       281569233])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>freq</span></div><div class='xr-var-dims'>(freq)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>18.7 24.5 44.0 ... 857.0 906.0</div><input id='attrs-8221826e-b617-4c10-a85f-840b82177999' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8221826e-b617-4c10-a85f-840b82177999' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e8752ebc-f40f-450f-8a29-a33993b0141e' class='xr-var-data-in' type='checkbox'><label for='data-e8752ebc-f40f-450f-8a29-a33993b0141e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 18.7,  24.5,  44. ,  70. , 100. , 143. , 217. , 353. , 545. , 643. ,\n",
       "       729. , 857. , 906. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3416b5b3-6621-437f-83fa-6db42533574e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3416b5b3-6621-437f-83fa-6db42533574e' class='xr-section-summary' >Data variables: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>flux</span></div><div class='xr-var-dims'>(index, freq)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>133.4 102.8 74.18 ... 2.221 2.221</div><input id='attrs-d8ff360d-c301-4c10-b4c2-cfd60f36c577' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d8ff360d-c301-4c10-b4c2-cfd60f36c577' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-71ebb73d-6fcb-4d95-bfb4-749811e319b7' class='xr-var-data-in' type='checkbox'><label for='data-71ebb73d-6fcb-4d95-bfb4-749811e319b7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[1.33397018e+02, 1.02788383e+02, 7.41813278e+01, 5.35035744e+01,\n",
       "        4.07125740e+01, 3.08391209e+01, 2.41603642e+01, 1.84862919e+01,\n",
       "        1.45572996e+01, 1.32915888e+01, 1.24044895e+01, 1.13484068e+01,\n",
       "        1.10064850e+01],\n",
       "       [4.02461395e+01, 2.13424511e+01, 5.63748312e+00, 1.44535756e+00,\n",
       "        5.51222563e-01, 2.50453085e-01, 1.20326310e-01, 5.28819710e-02,\n",
       "        2.53862925e-02, 1.91986132e-02, 1.55287404e-02, 1.18153850e-02,\n",
       "        1.07557680e-02],\n",
       "       [1.58172679e+00, 1.52575922e+00, 2.01489854e+00, 2.70636177e+00,\n",
       "        3.11945820e+00, 3.21289682e+00, 3.37728047e+00, 3.60640764e+00,\n",
       "        3.82402730e+00, 3.91028237e+00, 3.97707891e+00, 4.06481218e+00,\n",
       "        4.09542084e+00],\n",
       "       [2.59970818e+01, 1.38425875e+01, 3.69680357e+00, 9.58568454e-01,\n",
       "        3.68342429e-01, 1.68296784e-01, 8.12886283e-02, 3.59424092e-02,\n",
       "        1.73478890e-02, 1.31465271e-02, 1.06501598e-02, 8.11974052e-03,\n",
       "        7.39667099e-03],\n",
       "       [2.30607529e+01, 1.73972855e+01, 1.18607473e+01, 8.06792164e+00,\n",
       "        5.90362120e+00, 4.34431505e+00, 3.31052017e+00, 2.45474195e+00,\n",
       "        1.87959647e+00, 1.69795763e+00, 1.57184613e+00, 1.42309225e+00,\n",
       "        1.37527096e+00],\n",
       "...\n",
       "       [4.90119057e+01, 3.33772240e+01, 1.72778683e+01, 8.85264015e+00,\n",
       "        5.36092997e+00, 3.42948294e+00, 2.28571057e+00, 1.45599210e+00,\n",
       "        9.73488390e-01, 8.35170686e-01, 7.43421495e-01, 6.39923930e-01,\n",
       "        6.07776463e-01],\n",
       "       [2.76165128e-01, 2.85635084e-01, 4.55040962e-01, 7.41349876e-01,\n",
       "        9.72094655e-01, 1.10142827e+00, 1.26842153e+00, 1.50215578e+00,\n",
       "        1.74694097e+00, 1.85028064e+00, 1.93281782e+00, 2.04459333e+00,\n",
       "        2.08449793e+00],\n",
       "       [2.03087479e-01, 2.26579532e-01, 4.42530364e-01, 8.89142334e-01,\n",
       "        1.34111941e+00, 1.68543017e+00, 2.14321828e+00, 2.84007239e+00,\n",
       "        3.65142465e+00, 4.01798487e+00, 4.32072783e+00, 4.74458790e+00,\n",
       "        4.89972305e+00],\n",
       "       [6.52952118e+01, 4.62423553e+01, 2.65971336e+01, 1.51880655e+01,\n",
       "        9.88815308e+00, 6.67376709e+00, 4.68192005e+00, 3.16083884e+00,\n",
       "        2.22589183e+00, 1.94771528e+00, 1.75994229e+00, 1.54447865e+00,\n",
       "        1.47666538e+00],\n",
       "       [1.69265258e+00, 1.56201208e+00, 1.83106422e+00, 2.17562509e+00,\n",
       "        2.31053853e+00, 2.23983431e+00, 2.22182703e+00, 2.22162771e+00,\n",
       "        2.22144985e+00, 2.22138214e+00, 2.22133064e+00, 2.22126436e+00,\n",
       "        2.22124171e+00]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>polarized_flux</span></div><div class='xr-var-dims'>(index, freq)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.656 2.976 20.63 ... 0.121 0.05634</div><input id='attrs-48ab7c24-b57d-4340-bb44-bc1c7414ce5f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-48ab7c24-b57d-4340-bb44-bc1c7414ce5f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6a2326d3-eca0-48db-8d65-9fd427675967' class='xr-var-data-in' type='checkbox'><label for='data-6a2326d3-eca0-48db-8d65-9fd427675967' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[2.65626907e+00, 2.97604179e+00, 2.06295834e+01, 1.16005433e+00,\n",
       "        8.37435186e-01, 5.67029417e-02, 2.34777737e+00, 1.70656681e-01,\n",
       "        2.31032535e-01, 2.15255901e-01, 6.23656869e-01, 1.55271769e-01,\n",
       "        4.41605270e-01],\n",
       "       [5.13378799e-01, 1.48821130e-01, 3.07001099e-02, 7.27096051e-02,\n",
       "        5.76511659e-02, 1.52163068e-02, 4.90814680e-04, 1.16771262e-03,\n",
       "        3.70859227e-04, 6.76589203e-04, 3.33466131e-04, 3.14368779e-04,\n",
       "        3.85741907e-04],\n",
       "       [4.29640822e-02, 6.04580194e-02, 1.24766007e-01, 1.10907532e-01,\n",
       "        4.20418322e-01, 6.93443343e-02, 4.45255823e-02, 6.16297089e-02,\n",
       "        1.31401578e-02, 2.32103560e-02, 4.56234664e-02, 1.55589864e-01,\n",
       "        2.46530578e-01],\n",
       "       [1.56489742e+00, 3.90296251e-01, 2.92348303e-02, 1.14226602e-02,\n",
       "        1.08332429e-02, 2.23632227e-03, 3.72995040e-04, 3.22000502e-04,\n",
       "        3.14282952e-04, 1.60777839e-04, 9.03297507e-04, 8.02930444e-04,\n",
       "        1.35293324e-03],\n",
       "       [2.75860012e-01, 2.38913074e-01, 1.39025837e-01, 3.53306651e-01,\n",
       "        3.23626429e-01, 5.75251877e-02, 2.35211384e-02, 9.94484648e-02,\n",
       "        5.76695986e-02, 6.35692999e-02, 3.18408459e-02, 1.46972723e-02,\n",
       "        4.29346003e-02],\n",
       "...\n",
       "       [3.06216264e+00, 9.24776495e-01, 2.06851482e-01, 1.22202329e-01,\n",
       "        3.18413600e-02, 7.23564178e-02, 6.65161060e-03, 3.16350232e-03,\n",
       "        3.83707359e-02, 1.10997045e-02, 1.56781878e-02, 2.49029160e-03,\n",
       "        2.55066669e-03],\n",
       "       [1.53986672e-02, 2.88190483e-03, 2.00670753e-02, 7.41979340e-03,\n",
       "        1.10623479e-01, 1.41956499e-02, 4.28655967e-02, 5.03395014e-02,\n",
       "        1.76144987e-02, 3.16849761e-02, 7.17828497e-02, 7.16089532e-02,\n",
       "        1.90922134e-02],\n",
       "       [8.41543358e-03, 2.75596348e-03, 1.71520784e-02, 8.83964449e-03,\n",
       "        2.17298940e-02, 1.23291733e-02, 6.09488338e-02, 1.07517034e-01,\n",
       "        8.13308656e-02, 2.43529119e-02, 4.06711213e-02, 2.09916070e-01,\n",
       "        6.63065091e-02],\n",
       "       [9.80177224e-01, 4.80327606e-01, 7.27018118e-01, 7.95515254e-02,\n",
       "        1.58494674e-02, 5.10719828e-02, 1.55456603e-01, 1.19051732e-01,\n",
       "        3.18491869e-02, 1.53212950e-01, 5.25007881e-02, 5.88580668e-02,\n",
       "        1.68800540e-02],\n",
       "       [5.03987707e-02, 1.59638505e-02, 5.68261482e-02, 4.58943173e-02,\n",
       "        1.41857520e-01, 2.47937087e-02, 7.22175315e-02, 2.11402904e-02,\n",
       "        4.54026368e-03, 1.43892504e-02, 2.15653405e-02, 1.20982684e-01,\n",
       "        5.63392937e-02]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7e552e81-8a0d-4336-b688-9a06abb360c9' class='xr-section-summary-in' type='checkbox'  ><label for='section-7e552e81-8a0d-4336-b688-9a06abb360c9' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>index</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-3953f592-114b-4eca-8ee5-af097c42d4df' class='xr-index-data-in' type='checkbox'/><label for='index-3953f592-114b-4eca-8ee5-af097c42d4df' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([ 27897657, 157969580, 229540223, 229541828, 232278819, 234720973,\n",
       "       235650239, 236565471, 238295706, 239411656, 240798167, 242175600,\n",
       "       245994208, 246386426, 248611597, 249045063, 251679008, 252717495,\n",
       "       253440130, 253991141, 256213631, 256821658, 257831473, 259533227,\n",
       "       260109654, 260125696, 262012719, 263719520, 264564923, 266724752,\n",
       "       269318895, 270516228, 270679487, 271845884, 272762792, 273844535,\n",
       "       275329098, 276407774, 277336080, 277473504, 278235058, 281544643,\n",
       "       281569233],\n",
       "      dtype=&#x27;int64&#x27;, name=&#x27;index&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>freq</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-bcd2c92f-bd11-44c9-9796-db336ceefcf0' class='xr-index-data-in' type='checkbox'/><label for='index-bcd2c92f-bd11-44c9-9796-db336ceefcf0' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([ 18.7,  24.5,  44.0,  70.0, 100.0, 143.0, 217.0, 353.0, 545.0, 643.0,\n",
       "       729.0, 857.0, 906.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;freq&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-bee5799e-8329-4b82-9996-4940190fdde1' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-bee5799e-8329-4b82-9996-4940190fdde1' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset> Size: 9kB\n",
       "Dimensions:         (index: 43, freq: 13)\n",
       "Coordinates:\n",
       "  * index           (index) int64 344B 27897657 157969580 ... 281569233\n",
       "  * freq            (freq) float64 104B 18.7 24.5 44.0 ... 729.0 857.0 906.0\n",
       "Data variables:\n",
       "    flux            (index, freq) float64 4kB 133.4 102.8 74.18 ... 2.221 2.221\n",
       "    polarized_flux  (index, freq) float64 4kB 2.656 2.976 ... 0.121 0.05634"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sources_xr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "580fa067",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x7fc2cb461660>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sources_xr.flux.plot(vmin=0, vmax=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "fd02d2b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x7fc2cabcd480>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sources_xr.flux.plot(vmin=0, vmax=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "d0b6e259",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "AI generated code inserted below &#11015;&#65039;"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 25,
     "metadata": {
      "text/html": {
       "jupyter_ai": {
        "model_id": "gemini-pro",
        "provider_id": "gemini"
       }
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%%ai gemini:gemini-pro -f code\n",
    "#\n",
    "#    xarray DataArray plot only markers no line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "2b458a6f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc2c93dfe20>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import xarray as xr\n",
    "\n",
    "# Create a dataset with a variable to be plotted on a log scale\n",
    "data = xr.Dataset(\n",
    "    {\n",
    "        \"variable\": xr.DataArray(\n",
    "            np.logspace(-3, 3, 100),\n",
    "            dims=[\"x\"],\n",
    "            attrs={\"units\": \"log(units)\"},\n",
    "        )\n",
    "    }\n",
    ")\n",
    "\n",
    "# Plot the variable on a log scale\n",
    "data[\"variable\"].plot.line(xscale=\"log\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "39ae2d00",
   "metadata": {},
   "outputs": [],
   "source": [
    "import xarray as xr\n",
    "\n",
    "# Create a Dataset with a single dimension (time)\n",
    "ds = xr.Dataset({\"temperature\": ([\"time\"], [0, 1, 2])})\n",
    "\n",
    "# Add a non-coordinate dimension (depth)\n",
    "ds = ds.expand_dims({\"phi\": 3})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "99915920",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_1111920/214637953.py:2: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n",
      "  plt.figure()\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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llFt0WAfKTig6LFiJcZHy9+NGlgAAtDTCTCNkFxQrc1WhiktOuNtcEcFKT4tXSoLLi5UBAND6sMzUQNkFxZq4ON8jyEjS/pITmrg4X9kFxV6qDACA1okw0wCVVUaZqwplajlW3Za5qlCVVbX1AAAAzYEw0wC5RYdrzMicyUgqLjmh3KLDLVcUAACtHGGmAQ6U1R1kGtMPAACcP8JMA0SHBTdpPwAAcP4IMw2QGBcpV0Sw6roA26HTVzUlxkW2ZFkAALRqhJkG8PdzKD0tXpJqBJrqx+lp8ew3AwBACyLMNFBKgktZY3rLGeG5lOSMCFbWmN7sMwMAQAtj07xGSElwKTneyQ7AAABYAGGmkfz9HOp/UQdvlwEAQKvHMhMAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1wgwAALA1r4aZOXPm6Oqrr1ZYWJiio6M1YsQIffvttx59jDHKyMhQbGys2rZtq6SkJG3dutVLFQMAAKvxaphZv369Jk2apI0bNyonJ0enTp3S0KFDdezYMXefefPm6fnnn9f8+fO1adMmOZ1OJScnq6yszIuVAwAAqwjw5ptnZ2d7PF6wYIGio6OVl5enQYMGyRijF154QY899phGjhwpSVq4cKFiYmK0ZMkS/fa3v/VG2QAAwEK8GmZ+rqSkRJIUGRkpSSoqKtL+/fs1dOhQd5+goCANHjxYGzZsqDXMlJeXq7y83P24tLRUklRRUaGKiop61VHdr7790TIYF+thTKyJcbEmxqVhGvI9WSbMGGM0ffp0XXvttUpISJAk7d+/X5IUExPj0TcmJka7d++u9XXmzJmjzMzMGu2rV69WSEhIg2rKyclpUH+0DMbFehgTa2JcrIlxqZ/jx4/Xu69lwszkyZP197//XZ9++mmNYw6Hw+OxMaZGW7VHHnlE06dPdz8uLS1V586dNXToUIWHh9erloqKCuXk5Cg5OVmBgYEN+BRoToyL9TAm1sS4WBPj0jDVKyv1YYkwM2XKFK1cuVIff/yxOnXq5G53Op2STs/QuFwud/uBAwdqzNZUCwoKUlBQUI32wMDABv/yNOY5aH6Mi/UwJtbEuFgT41I/DfmOvHo1kzFGkydP1vLly7VmzRrFxcV5HI+Li5PT6fSYkjt58qTWr1+vAQMGtHS5AADAgrw6MzNp0iQtWbJEf/vb3xQWFuY+RyYiIkJt27aVw+HQtGnTNHv2bPXo0UM9evTQ7NmzFRISotGjR3uzdAAAYBFeDTNZWVmSpKSkJI/2BQsWaPz48ZKkGTNm6KefftL999+vI0eO6JprrtHq1asVFhbWwtUCAAAr8mqYMcacs4/D4VBGRoYyMjKavyAAAGA73JsJAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYWoC3C/AFlVVGuUWHdaDshKLDgpUYFyl/P4e3ywIAoFUgzJyn7IJiZa4qVHHJCXebKyJY6WnxSklwebEyAABaB5aZzkN2QbEmLs73CDKStL/khCYuzld2QbGXKgMAoPUgzDRSZZVR5qpCmVqOVbdlripUZVVtPQAAQFMhzDRSbtHhGjMyZzKSiktOKLfocMsVBQBAK0SYaaQDZXUHmcb0AwAAjUOYaaTosOAm7QcAABqHMNNIiXGRckUEq64LsB06fVVTYlxkS5YFAECrQ5hpJH8/h9LT4iWpRqCpfpyeFs9+MwAANDPCzHlISXApa0xvOSM8l5KcEcHKGtObfWYAAGgBbJp3nlISXEqOd7IDMAAAXkKYaQL+fg71v6iDt8sAAKBVYpkJAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYGmEGAADYmlfDzMcff6y0tDTFxsbK4XBoxYoVHsfHjx8vh8Ph8dOvXz/vFAsAACzJq2Hm2LFj6tWrl+bPn19nn5SUFBUXF7t//vd//7cFKwQAAFYX4M03Hz58uIYPH37WPkFBQXI6nS1UEQAAsBuvhpn6WLdunaKjo9W+fXsNHjxYTz/9tKKjo+vsX15ervLycvfj0tJSSVJFRYUqKirq9Z7V/erbHy2DcbEexsSaGBdrYlwapiHfk8MYY5qxlnpzOBz661//qhEjRrjb3n77bYWGhqpr164qKirSE088oVOnTikvL09BQUG1vk5GRoYyMzNrtC9ZskQhISHNVT4AAGhCx48f1+jRo1VSUqLw8PCz9rV0mPm54uJide3aVUuXLtXIkSNr7VPbzEznzp116NChc34Z1SoqKpSTk6Pk5GQFBgY26HOg+TAu1sOYWBPjYk2MS8OUlpYqKiqqXmHG8stMZ3K5XOratau2b99eZ5+goKBaZ20CAwMb/MvTmOeg+TEu1sOYWBPjYk2MS/005Duy1T4zP/74o/bu3SuXy+XtUgAAgEV4dWbm6NGj2rFjh/txUVGRNm/erMjISEVGRiojI0O33HKLXC6Xdu3apUcffVRRUVG6+eabvVg1AACwEq+GmS+//FJDhgxxP54+fbokady4ccrKytKWLVu0aNEi/etf/5LL5dKQIUP09ttvKywszFslAwAAi/FqmElKStLZzj/+4IMPWrAaAABgR7Y6ZwYAAODnCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWCDMAAMDWGhxmfvrppzqPFRcXn1cxAAAADdXgMHPVVVcpPz+/Rvs777yjK664okmKAgAAqK8Gh5nk5GQNGDBAc+fOlTFGR48e1fjx4zVu3DjNmjWrOWoEAACoU0BDn/Dyyy8rNTVVv/nNb/Tee+9p3759Cg8P16ZNmxQfH98cNQIAANSpwWFGkoYOHaqRI0cqKytLAQEBWrVqFUEGAAB4RYOXmb777jv1799f7777rj744APNmDFDN910k2bMmKGKiormqBEAAKBODQ4zV155peLi4vT1118rOTlZTz31lNasWaPly5crMTGxOWoEAACoU4PDzCuvvKKlS5eqffv27rYBAwboq6++Uu/evZuyNgAAgHNqcJi56667am0PCwvTa6+9dt4FAQAANESDTwBetGhRncccDkedYQcAAKA5NDjMTJ061eNxRUWFjh8/rjZt2igkJIQwAwAAWlSDw8yRI0dqtG3fvl0TJ07UQw891CRF+aLKKqPcosM6UHZC0WHBSoyLlL+fw9tlAQBge43aZ+bnevTooblz52rMmDH65ptvmuIlfUp2QbEyVxWquOSEu80VEaz0tHilJLi8WBkAAPbXZHfN9vf31759+5rq5XxGdkGxJi7O9wgykrS/5IQmLs5XdgE35wQA4Hw0eGZm5cqVHo+NMSouLtb8+fM1cODAJivMF1RWGWWuKpSp5ZiR5JCUuapQyfFOlpwAAGikBoeZESNGeDx2OBy68MILdd111+m5555rqrp8Qm7R4RozMmcykopLTii36LD6X9Sh5QoDAMCHNDjMVFVVNUcdPulAWd1BpjH9AABATU12zgxqig4LbtJ+AACgpnrNzEyfPr3eL/j88883uhhfkxgXKVdEsPaXnKj1vBmHJGfE6cu0AQBA49QrzCxYsEAJCQkKCAiQw+GQMbX9aT59/gz+j7+fQ+lp8Zq4OF8OySPQVH9T6WnxnPwLAMB5qFeYKSkp0bJlyxQdHa3u3btr06ZN6tCBE1brIyXBpawxvWvsM+NknxkAAJpEvcLMBRdcoKKiIkVHR2vXrl2cBNxAKQkuJcc72QEYAIBmUK8wc8stt2jQoEGKjY2Vw+FQ37595e/vX2vfnTt3NmmBvsLfz8Hl1wAANIN6hZk///nPGjlypHbs2KEHHnhA9957r8LCwpq7NgAAgHOq9z4zKSkpkqS8vDxNnTqVMAMAACyhwZvmLViwoDnqAAAAaBQ2zQMAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALZGmAEAALbm1TDz8ccfKy0tTbGxsXI4HFqxYoXHcWOMMjIyFBsbq7Zt2yopKUlbt271TrEAAMCSvBpmjh07pl69emn+/Pm1Hp83b56ef/55zZ8/X5s2bZLT6VRycrLKyspauFIAAGBVAd588+HDh2v48OG1HjPG6IUXXtBjjz2mkSNHSpIWLlyomJgYLVmyRL/97W9bslQAAGBRXg0zZ1NUVKT9+/dr6NCh7ragoCANHjxYGzZsqDPMlJeXq7y83P24tLRUklRRUaGKiop6vXd1v/r2R8tgXKyHMbEmxsWaGJeGacj3ZNkws3//fklSTEyMR3tMTIx2795d5/PmzJmjzMzMGu2rV69WSEhIg2rIyclpUH+0DMbFehgTa2JcrIlxqZ/jx4/Xu69lw0w1h8Ph8dgYU6PtTI888oimT5/uflxaWqrOnTtr6NChCg8Pr9d7VlRUKCcnR8nJyQoMDGxc4WhyjIv1MCbWxLhYE+PSMNUrK/Vh2TDjdDolnZ6hcblc7vYDBw7UmK05U1BQkIKCgmq0BwYGNviXpzHPQfNjXKyHMbEmxsWaGJf6ach3ZNl9ZuLi4uR0Oj2m406ePKn169drwIABXqwMAABYiVdnZo4ePaodO3a4HxcVFWnz5s2KjIxUly5dNG3aNM2ePVs9evRQjx49NHv2bIWEhGj06NFerBoAAFiJV8PMl19+qSFDhrgfV5/rMm7cOL3xxhuaMWOGfvrpJ91///06cuSIrrnmGq1evVphYWHeKhkAAFiMV8NMUlKSjDF1Hnc4HMrIyFBGRkbLFQUAAGzFsufMAAAA1AdhBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2BphBgAA2FqAtwvA2VVWGeUWHdaBshOKDgtWYlyk/P0c3i4LAADLIMxYWHZBsTJXFaq45IS7zRURrPS0eKUkuLxYGQAA1sEyk0VlFxRr4uJ8jyAjSftLTmji4nxlFxR7qTIAAKyFMGNBlVVGmasKZWo5Vt2WuapQlVW19QAAoHUhzFhQbtHhGjMyZzKSiktOKLfocMsVBQCARRFmLOhAWd1BpjH9AADwZYQZC4oOC27SfgAA+DLCjAUlxkXKFRGsui7Aduj0VU2JcZEtWRYAAJZEmLEgfz+H0tPiJalGoKl+nJ4Wz34zAACIMGNZKQkuZY3pLWeE51KSMyJYWWN6s88MAAD/H5vmWVhKgkvJ8U52AAYA4CwIMxbn7+dQ/4s6eLsMAAAsi2UmAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABga4QZAABgawHeLgDNp7LKKLfosA6UnVB0WLAS4yLl7+fwdlkAADQpwoyPyi4oVuaqQhWXnHC3uSKClZ4Wr5QElxcrAwCgabHM5IOyC4o1cXG+R5CRpP0lJzRxcb6yC4q9VBkAAE2PMONjKquMMlcVytRyrLotc1WhKqtq6wEAgP0QZnxMbtHhGjMyZzKSiktOKLfocMsVBQBAMyLM+JgDZXUHmcb0AwDA6ggzPiY6LLhJ+wEAYHWEGR+TGBcpV0Sw6roA26HTVzUlxkW2ZFkAADQbwoyP8fdzKD0tXpJqBJrqx+lp8ew3AwDwGYQZH5SS4FLWmN5yRnguJTkjgpU1pjf7zAAAfAqb5vmolASXkuOd7AAMAPB5hBkf5u/nUP+LOni7DAAAmhXLTAAAwNYIMwAAwNYsHWYyMjLkcDg8fpxOp7fLAgAAFmL5c2Yuv/xyffjhh+7H/v7+XqwGAABYjeXDTEBAALMxAACgTpZeZpKk7du3KzY2VnFxcbr99tu1c+dOb5cEAAAsxNIzM9dcc40WLVqkSy65RD/88IOeeuopDRgwQFu3blWHDrVfclxeXq7y8nL349LSUklSRUWFKioq6vW+1f3q2x8tg3GxHsbEmhgXa2JcGqYh35PDGGOasZYmdezYMV100UWaMWOGpk+fXmufjIwMZWZm1mhfsmSJQkJCmrtEAADQBI4fP67Ro0erpKRE4eHhZ+1rqzAjScnJybr44ouVlZVV6/HaZmY6d+6sQ4cOnfPLqFZRUaGcnBwlJycrMDCwSerG+WNcrIcxsSbGxZoYl4YpLS1VVFRUvcKMpZeZfq68vFz/+Mc/9Mtf/rLOPkFBQQoKCqrRHhgY2OBfnsY8B82PcbEexsSaGBdrYlzqpyHfkaVPAH7wwQe1fv16FRUV6YsvvtCtt96q0tJSjRs3ztulAQAAi7D0zMw///lP3XHHHTp06JAuvPBC9evXTxs3blTXrl29XRoAALAIS4eZpUuXersE1KKyynA3bgCAZVg6zMB6sguKlbmqUMUlJ9xtrohgpafFKyXB5cXKAACtlaXPmYG1ZBcUa+LifI8gI0n7S05o4uJ8ZRcUe6kyAEBrRphBvVRWGWWuKlRt1/FXt2WuKlRlla2u9AcA+ADCDOolt+hwjRmZMxlJxSUnlFt0uOWKAgBAhBnU04GyuoNMY/oBANBUCDOol+iw4CbtBwBAUyHMoF4S4yLlighWXRdgO3T6qqbEuMiWLAsAAMIM6sffz6H0tHhJqhFoqh+np8Wz3wwAoMURZlBvKQkuZY3pLWeE51KSMyJYWWN6s88MAMAr2DQPDZKS4FJyvJMdgAEAlkGYQYP5+znU/6IO3i4DAABJLDMBAACbI8wAAABbI8wAAABbI8wAAABb4wRg+ITKKsMVVgDQShFmYHvZBcXKXFXocSNMV0Sw0tPi2fsGAFoBlplga9kFxZq4OL/GHb33l5zQxMX5yi4o9lJlAICWQpiBbVVWGWWuKpSp5Vh1W+aqQlVW1dYDAOArCDOwrdyiwzVmZM5kJBWXnFBu0eGWKwoA0OIIM7CtA2V1B5nG9AMA2BNhBrYVHRZ87k4N6AcAsCfCDGwrMS5Srohg1XUBtkOnr2pKjItsybIAAC2MMAPb8vdzKD0tXpJqBJrqx+lp8ew3AwA+jjADW0tJcClrTG85IzyXkpwRwcoa05t9ZgCgFWDTPNheSoJLyfFOdgAGgFaKMAOf4O/nUP+LOni7DACAF7DMBAAAbI2ZGcBHcfNNAK0FYQbwQdx8E0BrwjIT4GO4+SaA1oYwA/gQbr4JoDUizAA+hJtvAmiNCDOAD+HmmwBaI8IM4EO4+SaA1ogwA/gQbr4JoDUizAA+hJtvAmiNCDOAj+Hmm9ZSWWX0+Xc/6m+bv9fn3/3IlWRAM2DTPMAHcfNNa2DzQqBlEGYAH8XNN72revPCn8/DVG9eyCwZ0HRYZgKAJuaLmxeyXAYrY2YGAJpYQzYvtMPsGctlsDpmZgCgifnS5oV2vdcXM0mtCzMzANDEfGXzwnMtlzl0erksOd5pqZPLmUlqfZiZAYAm5iubF9rxXl92nUlqDq1pdoqZGQBoYtWbF05cnC+H5DGzYafNC+22XGbXmaTm0BKzU5VVxjLbPxBmAKAZVG9e+PM/KE4bLXfYbbnM1068bqyW2BbAakt5hBkAaCZ237ywerlsf8mJWmc7HDodzqyyXGa3maTm0BKzU1bcQ4lzZgCgGVVvXnjTlR3V/6IOtgkykv3u9WW3maTm0NznOVl1DyXCDACgTna615evnHh9Ppp7dsqqJ4WzzAQAOCu7LJf5yonX56O5Z6esupTHzAwA4Jzsslxmp5mk5tDcs1NWXcpjZgYA4FPsMpPUHJp7dsqqJ4UzMwMA8Dl2mUlqDs05O2XVk8KZmQEAwMc05+yUFfdQIswAAOCDqmenmoPVlvIIMwAAoMGaMyw1FOfMAAAAWyPMAAAAWyPMAAAAWyPMAAAAWyPMAAAAWyPMAAAAWyPMAAAAWyPMAAAAWyPMAAAAW/P5HYCNOX1fz9LS0no/p6KiQsePH1dpaakCAwObqzQ0EONiPYyJNTEu1sS4NEz13+3qv+Nn4/NhpqysTJLUuXNnL1cCAAAaqqysTBEREWft4zD1iTw2VlVVpX379iksLEwOR/1ugFVaWqrOnTtr7969Cg8Pb+YKUV+Mi/UwJtbEuFgT49IwxhiVlZUpNjZWfn5nPyvG52dm/Pz81KlTp0Y9Nzw8nF84C2JcrIcxsSbGxZoYl/o714xMNU4ABgAAtkaYAQAAtkaYqUVQUJDS09MVFBTk7VJwBsbFehgTa2JcrIlxaT4+fwIwAADwbczMAAAAWyPMAAAAWyPMAAAAWyPMAAAAWyPM1OKVV15RXFycgoOD1adPH33yySfeLsknzZkzR1dffbXCwsIUHR2tESNG6Ntvv/XoY4xRRkaGYmNj1bZtWyUlJWnr1q0efcrLyzVlyhRFRUWpXbt2uvHGG/XPf/6zJT+KT5szZ44cDoemTZvmbmNcvOP777/XmDFj1KFDB4WEhOjKK69UXl6e+zjj0rJOnTqlxx9/XHFxcWrbtq26d++uP/zhD6qqqnL3YUxaiIGHpUuXmsDAQPPqq6+awsJCM3XqVNOuXTuze/dub5fmc4YNG2YWLFhgCgoKzObNm01qaqrp0qWLOXr0qLvP3LlzTVhYmFm2bJnZsmWL+fWvf21cLpcpLS1197nvvvtMx44dTU5OjsnPzzdDhgwxvXr1MqdOnfLGx/Ipubm5plu3buaKK64wU6dOdbczLi3v8OHDpmvXrmb8+PHmiy++MEVFRebDDz80O3bscPdhXFrWU089ZTp06GDeffddU1RUZP7yl7+Y0NBQ88ILL7j7MCYtgzDzM4mJiea+++7zaOvZs6d5+OGHvVRR63HgwAEjyaxfv94YY0xVVZVxOp1m7ty57j4nTpwwERER5r/+67+MMcb861//MoGBgWbp0qXuPt9//73x8/Mz2dnZLfsBfExZWZnp0aOHycnJMYMHD3aHGcbFO2bOnGmuvfbaOo8zLi0vNTXV3H333R5tI0eONGPGjDHGMCYtiWWmM5w8eVJ5eXkaOnSoR/vQoUO1YcMGL1XVepSUlEiSIiMjJUlFRUXav3+/x3gEBQVp8ODB7vHIy8tTRUWFR5/Y2FglJCQwZudp0qRJSk1N1a9+9SuPdsbFO1auXKm+fftq1KhRio6O1lVXXaVXX33VfZxxaXnXXnutPvroI23btk2S9PXXX+vTTz/VDTfcIIkxaUk+f6PJhjh06JAqKysVExPj0R4TE6P9+/d7qarWwRij6dOn69prr1VCQoIkub/z2sZj9+7d7j5t2rTRBRdcUKMPY9Z4S5cuVX5+vjZt2lTjGOPiHTt37lRWVpamT5+uRx99VLm5uXrggQcUFBSksWPHMi5eMHPmTJWUlKhnz57y9/dXZWWlnn76ad1xxx2S+LfSkggztXA4HB6PjTE12tC0Jk+erL///e/69NNPaxxrzHgwZo23d+9eTZ06VatXr1ZwcHCd/RiXllVVVaW+fftq9uzZkqSrrrpKW7duVVZWlsaOHevux7i0nLfffluLFy/WkiVLdPnll2vz5s2aNm2aYmNjNW7cOHc/xqT5scx0hqioKPn7+9dIwwcOHKiRrNF0pkyZopUrV2rt2rXq1KmTu93pdErSWcfD6XTq5MmTOnLkSJ190DB5eXk6cOCA+vTpo4CAAAUEBGj9+vV66aWXFBAQ4P5eGZeW5XK5FB8f79F22WWXac+ePZL49+INDz30kB5++GHdfvvt+sUvfqG77rpLv/vd7zRnzhxJjElLIsycoU2bNurTp49ycnI82nNycjRgwAAvVeW7jDGaPHmyli9frjVr1iguLs7jeFxcnJxOp8d4nDx5UuvXr3ePR58+fRQYGOjRp7i4WAUFBYxZI11//fXasmWLNm/e7P7p27ev7rzzTm3evFndu3dnXLxg4MCBNbYu2LZtm7p27SqJfy/ecPz4cfn5ef4Z9ff3d1+azZi0IC+deGxZ1Zdmv/baa6awsNBMmzbNtGvXzuzatcvbpfmciRMnmoiICLNu3TpTXFzs/jl+/Li7z9y5c01ERIRZvny52bJli7njjjtqvayxU6dO5sMPPzT5+fnmuuuu47LGJnbm1UzGMC7ekJubawICAszTTz9ttm/fbt566y0TEhJiFi9e7O7DuLSscePGmY4dO7ovzV6+fLmJiooyM2bMcPdhTFoGYaYW//mf/2m6du1q2rRpY3r37u2+VBhNS1KtPwsWLHD3qaqqMunp6cbpdJqgoCAzaNAgs2XLFo/X+emnn8zkyZNNZGSkadu2rfm3f/s3s2fPnhb+NL7t52GGcfGOVatWmYSEBBMUFGR69uxp/vznP3scZ1xaVmlpqZk6darp0qWLCQ4ONt27dzePPfaYKS8vd/dhTFqGwxhjvDkzBAAAcD44ZwYAANgaYQYAANgaYQYAANgaYQYAANgaYQYAANgaYQYAANgaYQYAANgaYQaAZRhj9O///u+KjIyUw+HQ5s2bvV0SABtg0zwAlvH+++/rpptu0rp169S9e3dFRUUpICDA22UBsDj+KwHAMr777ju5XK46b7B38uRJtWnTpoWrAmB1LDMBsITx48drypQp2rNnjxwOh7p166akpCRNnjxZ06dPV1RUlJKTkyVJhYWFuuGGGxQaGqqYmBjdddddOnTokPu1jh07prFjxyo0NFQul0vPPfeckpKSNG3aNC99OgDNiTADwBJefPFF/eEPf1CnTp1UXFysTZs2SZIWLlyogIAAffbZZ/rTn/6k4uJiDR48WFdeeaW+/PJLZWdn64cfftBtt93mfq2HHnpIa9eu1V//+letXr1a69atU15enrc+GoBmxjITAEuIiIhQWFiY/P395XQ63e0XX3yx5s2b5348a9Ys9e7dW7Nnz3a3vf766+rcubO2bdum2NhYvfbaa1q0aJF7JmfhwoXq1KlTy30YAC2KMAPA0vr27evxOC8vT2vXrlVoaGiNvt99951++uknnTx5Uv3793e3R0ZG6tJLL232WgF4B2EGgKW1a9fO43FVVZXS0tL0zDPP1Ojrcrm0ffv2lioNgEUQZgDYSu/evbVs2TJ169at1su2L774YgUGBmrjxo3q0qWLJOnIkSPatm2bBg8e3NLlAmgBnAAMwFYmTZqkw4cP64477lBubq527typ1atX6+6771ZlZaVCQ0M1YcIEPfTQQ/roo49UUFCg8ePHy8+P/9wBvoqZGQC2Ehsbq88++0wzZ87UsGHDVF5erq5duyolJcUdWJ599lkdPXpUN954o8LCwvT73/9eJSUlXq4cQHNhB2AArUJSUpKuvPJKvfDCC94uBUATY94VAADYGmEGAADYGstMAADA1piZAQAAtkaYAQAAtkaYAQAAtkaYAQAAtkaYAQAAtkaYAQAAtkaYAQAAtkaYAQAAtkaYAQAAtvb/AK5VQcP2yIOEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6nzoAAPDtEYhaWKew4CatAwAA3x6BqIUNTIhUbESwGrq53qGv7jYbmBDZktMCAMDWCEQtzK+dQ0vG95SkOqGo9vWS8T15HhEAAC2IQOQDo5NitXZaPzkjPE+LOSOCtXZaP55DBABAC+PBjD4yOilWyT2dPKkaAAALIBD5kF87h674bpSvpwEAgO1xygwAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANgegQgAANieTwPR3/72N40fP15xcXFyOBx64YUXPJYbY5SWlqa4uDi1b99ew4cP16FDhzxqKisrNW/ePEVHRys0NFQTJkzQsWPHPGpKSko0ffp0RUREKCIiQtOnT9d///vfZt46AADQWvg0EH355Ze69NJLtWbNmnqXr1ixQqtWrdKaNWuUk5Mjp9Op5ORklZeXu2tSU1O1bds2bd26VXv27FFFRYXGjRun6upqd83UqVOVl5enHTt2aMeOHcrLy9P06dObffsAAEDr4O/LDx8zZozGjBlT7zJjjFavXq3Fixdr0qRJkqRNmzYpJiZGW7Zs0axZs1RaWqr169frqaee0siRIyVJmZmZio+P186dOzVq1Cj961//0o4dO/TGG29o0KBBkqR169bpiiuu0Lvvvqvvf//7LbOxAADAsix7DVFBQYGKioqUkpLiHgsKCtKwYcO0d+9eSVJubq5cLpdHTVxcnJKSktw1+/btU0REhDsMSdLll1+uiIgIdw0AALA3nx4hOpuioiJJUkxMjMd4TEyMjh496q4JDAxUx44d69TUrl9UVKROnTrVef9OnTq5a+pTWVmpyspK9+uysjJJksvlksvl8mobauu8rUfzoyfWRF+sib5YDz1pPG/3lWUDUS2Hw+Hx2hhTZ+ybvllTX/253mfZsmVaunRpnfGsrCyFhISca9oesrOzG1WP5kdPrIm+WBN9sR564r2TJ096VWfZQOR0OiV9dYQnNjbWPV5cXOw+auR0OlVVVaWSkhKPo0TFxcUaPHiwu+azzz6r8/6ff/55naNPX7do0SItWLDA/bqsrEzx8fFKSUlReHi4V9vgcrmUnZ2t5ORkBQQEeLUOmhc9sSb6Yk30xXroSePVnuE5F8sGooSEBDmdTmVnZ6tv376SpKqqKu3evVuPPPKIJKl///4KCAhQdna2pkyZIkkqLCxUfn6+VqxYIUm64oorVFpaqv3792vgwIGSpDfffFOlpaXu0FSfoKAgBQUF1RkPCAho9C/h+ayD5kVPrIm+WBN9sR564j1v95NPA1FFRYXef/999+uCggLl5eUpMjJSF154oVJTU5Wenq7ExEQlJiYqPT1dISEhmjp1qiQpIiJCM2fO1F133aWoqChFRkbq7rvvVu/evd13nV188cUaPXq0brvtNv3+97+XJP30pz/VuHHjuMMMAABI8nEgeuutt3T11Ve7X9eeopoxY4Y2btyoe++9V6dOndKcOXNUUlKiQYMGKSsrS2FhYe51HnvsMfn7+2vKlCk6deqURowYoY0bN8rPz89ds3nzZt15553uu9EmTJjQ4LOPAACA/fg0EA0fPlzGmAaXOxwOpaWlKS0trcGa4OBgZWRkKCMjo8GayMhIZWZmfpupAgCANsyyzyECAABoKQQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABgewQiAABge5YORGfOnNHPf/5zJSQkqH379urevbsefPBB1dTUuGuMMUpLS1NcXJzat2+v4cOH69ChQx7vU1lZqXnz5ik6OlqhoaGaMGGCjh071tKbAwAALMrSgeiRRx7R7373O61Zs0b/+te/tGLFCj366KPKyMhw16xYsUKrVq3SmjVrlJOTI6fTqeTkZJWXl7trUlNTtW3bNm3dulV79uxRRUWFxo0bp+rqal9sFgAAsBh/X0/gbPbt26frrrtOY8eOlSR169ZNTz/9tN566y1JXx0dWr16tRYvXqxJkyZJkjZt2qSYmBht2bJFs2bNUmlpqdavX6+nnnpKI0eOlCRlZmYqPj5eO3fu1KhRo3yzcQAAwDIsHYiGDh2q3/3udzpy5Ii+973v6Z133tGePXu0evVqSVJBQYGKioqUkpLiXicoKEjDhg3T3r17NWvWLOXm5srlcnnUxMXFKSkpSXv37m0wEFVWVqqystL9uqysTJLkcrnkcrm8mn9tnbf1aH70xJroizXRF+uhJ43n7b6ydCC67777VFpaqh49esjPz0/V1dV6+OGHdeONN0qSioqKJEkxMTEe68XExOjo0aPumsDAQHXs2LFOTe369Vm2bJmWLl1aZzwrK0shISGN2o7s7OxG1aP50RNroi/WRF+sh5547+TJk17VWToQPfPMM8rMzNSWLVvUq1cv5eXlKTU1VXFxcZoxY4a7zuFweKxnjKkz9k3nqlm0aJEWLFjgfl1WVqb4+HilpKQoPDzcq/m7XC5lZ2crOTlZAQEBXq2D5kVPrIm+WBN9sR560ni1Z3jOxdKB6J577tHChQt1ww03SJJ69+6to0ePatmyZZoxY4acTqekr44CxcbGutcrLi52HzVyOp2qqqpSSUmJx1Gi4uJiDR48uMHPDgoKUlBQUJ3xgICARv8Sns86aF70xJroizXRF+uhJ97zdj9Z+i6zkydPql07zyn6+fm5b7tPSEiQ0+n0OHRYVVWl3bt3u8NO//79FRAQ4FFTWFio/Pz8swYiAABgH5Y+QjR+/Hg9/PDDuvDCC9WrVy+9/fbbWrVqlW699VZJX50qS01NVXp6uhITE5WYmKj09HSFhIRo6tSpkqSIiAjNnDlTd911l6KiohQZGam7775bvXv3dt91BgAA7M3SgSgjI0O/+MUvNGfOHBUXFysuLk6zZs3SAw884K659957derUKc2ZM0clJSUaNGiQsrKyFBYW5q557LHH5O/vrylTpujUqVMaMWKENm7cKD8/P19sFgAAsBhLB6KwsDCtXr3afZt9fRwOh9LS0pSWltZgTXBwsDIyMjwe6AgAAFDL0tcQAQAAtAQCEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD1/X08AX6muMdpfcELF5afVKSxYAxMi5dfO4etpAQBgCwQiC9iRX6ilLx5WYelp91hsRLCWjO+p0UmxPpwZAAD2wCkzH9uRX6jZmQc8wpAkFZWe1uzMA9qRX+ijmQEAYB8EIh+qrjFa+uJhmXqW1Y4tffGwqmvqqwAAAE2FQORD+wtO1Dky9HVGUmHpae0vONFykwIAwIYIRD5UXN5wGDqfOgAAcH4IRD7UKSy4SesAAMD5IRD50MCESMVGBKuhm+sd+upus4EJkS05LQAAbIdA5EN+7RxaMr6nJNUJRbWvl4zvyfOIAABoZgQiHxudFKu10/rJGeF5WswZEay10/rxHCIAAFoAD2a0gNFJsUru6eRJ1QAA+AiByCL82jl0xXejfD0NAABsiVNmAADA9ghEAADA9ghEAADA9ghEAADA9ghEAADA9ghEAADA9ghEAADA9iwfiD799FNNmzZNUVFRCgkJUZ8+fZSbm+teboxRWlqa4uLi1L59ew0fPlyHDh3yeI/KykrNmzdP0dHRCg0N1YQJE3Ts2LGW3hQAAGBRlg5EJSUlGjJkiAICAvTXv/5Vhw8f1sqVK3XBBRe4a1asWKFVq1ZpzZo1ysnJkdPpVHJyssrLy901qamp2rZtm7Zu3ao9e/aooqJC48aNU3V1tQ+2CgAAWI2ln1T9yCOPKD4+Xhs2bHCPdevWzf2/jTFavXq1Fi9erEmTJkmSNm3apJiYGG3ZskWzZs1SaWmp1q9fr6eeekojR46UJGVmZio+Pl47d+7UqFGjWnSbAACA9Vg6EG3fvl2jRo3S5MmTtXv3bnXu3Flz5szRbbfdJkkqKChQUVGRUlJS3OsEBQVp2LBh2rt3r2bNmqXc3Fy5XC6Pmri4OCUlJWnv3r0NBqLKykpVVla6X5eVlUmSXC6XXC6XV/OvrfO2Hs2PnlgTfbEm+mI99KTxvN1Xlg5EH374odauXasFCxbo/vvv1/79+3XnnXcqKChIN998s4qKiiRJMTExHuvFxMTo6NGjkqSioiIFBgaqY8eOdWpq16/PsmXLtHTp0jrjWVlZCgkJadR2ZGdnN6oezY+eWBN9sSb6Yj30xHsnT570qq7RgejUqVNq3759vcsKCwsVGxvb2LdsUE1NjQYMGKD09HRJUt++fXXo0CGtXbtWN998s7vO4fD8VnhjTJ2xbzpXzaJFi7RgwQL367KyMsXHxyslJUXh4eFezd/lcik7O1vJyckKCAjwah00L3piTfTFmuiL9dCTxqs9w3MujQ5Effv21ZYtW9SvXz+P8WeffVazZ8/W559/3ti3bFBsbKx69uzpMXbxxRfrueeekyQ5nU5JXx0F+noQKy4udh81cjqdqqqqUklJicdRouLiYg0ePLjBzw4KClJQUFCd8YCAgEb/Ep7POmhe9MSa6Is10RfroSfe83Y/Nfous+TkZA0ePFjLly+XMUYVFRW65ZZbNGPGDD3wwAONnujZDBkyRO+++67H2JEjR9S1a1dJUkJCgpxOp8ehw6qqKu3evdsddvr376+AgACPmsLCQuXn5581EAEAAPto9BGijIwMjR07Vj/+8Y/10ksv6fjx4woPD1dOTk6doznf1s9+9jMNHjxY6enpmjJlivbv368nnnhCTzzxhKSvTpWlpqYqPT1diYmJSkxMVHp6ukJCQjR16lRJUkREhGbOnKm77rpLUVFRioyM1N13363evXu77zoDAAD2dl4XVaekpGjSpElau3at/P399eKLLzZ5GJKkyy67TNu2bdOiRYv04IMPKiEhQatXr9ZNN93krrn33nt16tQpzZkzRyUlJRo0aJCysrIUFhbmrnnsscfk7++vKVOm6NSpUxoxYoQ2btwoPz+/Jp8zAABofRodiD744ANNnTpVRUVFeuWVV7R7925dd911uvPOO/Xwww83+TnNcePGady4cQ0udzgcSktLU1paWoM1wcHBysjIUEZGRpPODQAAtA2NvoaoT58+SkhI0DvvvKPk5GQ99NBDeu211/T8889r4MCBzTFHAACAZtXoQPT4449r69atHl+fMXjwYL399tt17jwDAABoDRodiKZPn17veFhYmNavX/+tJwQAANDSGn0N0R/+8IcGlzkcjgYDEwAAgFU1OhDNnz/f47XL5dLJkycVGBiokJAQAhEAAGh1Gn3KrKSkxOOnoqJC7777roYOHaqnn366OeYIAADQrBodiOqTmJio5cuX1zl6BAAA0Bo0SSCSJD8/Px0/fryp3g4AAKDFNPoaou3bt3u8NsaosLBQa9as0ZAhQ5psYgAAAC2l0YFo4sSJHq8dDoe+853v6JprrtHKlSubal4AAAAtptGBqKampjnmAQAA4DNNdg0RAABAa+XVEaIFCxZ4/YarVq0678kAAAD4gleBaMOGDUpKSpK/v78cDoeMMfXWORyOJp0cAABAS/AqEJWWluq5555Tp06d1L17d+Xk5CgqKqq55wYAANAivLqGqGPHjiooKJAkffTRR1xYDQAA2hSvjhD98Ic/1FVXXaW4uDg5HA4NGDBAfn5+9dZ++OGHTTpBAACA5uZVIHriiSc0adIkvf/++7rzzjt12223KSwsrLnnBgAA0CK8fg7R6NGjJUm5ubmaP38+gQgAALQZjX4w44YNG5pjHgAAAD7DgxkBAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDttapAtGzZMjkcDqWmprrHjDFKS0tTXFyc2rdvr+HDh+vQoUMe61VWVmrevHmKjo5WaGioJkyYoGPHjrXw7AEAgFW1mkCUk5OjJ554QpdcconH+IoVK7Rq1SqtWbNGOTk5cjqdSk5OVnl5ubsmNTVV27Zt09atW7Vnzx5VVFRo3Lhxqq6ubunNAAAAFtQqAlFFRYVuuukmrVu3Th07dnSPG2O0evVqLV68WJMmTVJSUpI2bdqkkydPasuWLZKk0tJSrV+/XitXrtTIkSPVt29fZWZm6uDBg9q5c6evNgkAAFiIv68n4I077rhDY8eO1ciRI/XQQw+5xwsKClRUVKSUlBT3WFBQkIYNG6a9e/dq1qxZys3Nlcvl8qiJi4tTUlKS9u7dq1GjRtX7mZWVlaqsrHS/LisrkyS5XC65XC6v5l1b5209mh89sSb6Yk30xXroSeN5u68sH4i2bt2qAwcOKCcnp86yoqIiSVJMTIzHeExMjI4ePequCQwM9DiyVFtTu359li1bpqVLl9YZz8rKUkhISKO2ITs7u1H1aH70xJroizXRF+uhJ947efKkV3WWDkSffPKJ5s+fr6ysLAUHBzdY53A4PF4bY+qMfdO5ahYtWqQFCxa4X5eVlSk+Pl4pKSkKDw/3av4ul0vZ2dlKTk5WQECAV+ugedETa6Iv1kRfrIeeNF7tGZ5zsXQgys3NVXFxsfr37+8eq66u1t/+9jetWbNG7777rqSvjgLFxsa6a4qLi91HjZxOp6qqqlRSUuJxlKi4uFiDBw9u8LODgoIUFBRUZzwgIKDRv4Tnsw6aFz2xJvpiTfTFeuiJ97zdT5a+qHrEiBE6ePCg8vLy3D8DBgzQTTfdpLy8PHXv3l1Op9Pj0GFVVZV2797tDjv9+/dXQECAR01hYaHy8/PPGogAAIB9WPoIUVhYmJKSkjzGQkNDFRUV5R5PTU1Venq6EhMTlZiYqPT0dIWEhGjq1KmSpIiICM2cOVN33XWXoqKiFBkZqbvvvlu9e/fWyJEjW3ybAACA9Vg6EHnj3nvv1alTpzRnzhyVlJRo0KBBysrKUlhYmLvmsccek7+/v6ZMmaJTp05pxIgR2rhxo/z8/Hw4cwAAYBWtLhC9/vrrHq8dDofS0tKUlpbW4DrBwcHKyMhQRkZG804OAAC0Spa+hggAAKAlEIgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDtEYgAAIDt+ft6Amic6hqj/QUnVFx+Wp3CgjUwIVJ+7Ry+nhYAAK0agagV2ZFfqKUvHlZh6Wn3WGxEsJaM76nRSbE+nBkAAK0bp8xaiR35hZqdecAjDElSUelpzc48oB35hT6aGQAArR+BqBWorjFa+uJhmXqW1Y4tffGwqmvqqwAAAOdCIGoF9hecqHNk6OuMpMLS09pfcKLlJgUAQBtCIGoFissbDkPnUwcAADwRiFqBTmHBTVoHAAA8EYhagYEJkYqNCFZDN9c79NXdZgMTIltyWgAAtBkEolbAr51DS8b3lKQ6oaj29ZLxPXkeEQAA54lA1EqMTorV2mn95IzwPC3mjAjW2mn9eA4RAADfgqUD0bJly3TZZZcpLCxMnTp10sSJE/Xuu+961BhjlJaWpri4OLVv317Dhw/XoUOHPGoqKys1b948RUdHKzQ0VBMmTNCxY8daclOaxOikWO257xo9fdvl+vUNffT0bZdrz33XEIYAAPiWLB2Idu/erTvuuENvvPGGsrOzdebMGaWkpOjLL79016xYsUKrVq3SmjVrlJOTI6fTqeTkZJWXl7trUlNTtW3bNm3dulV79uxRRUWFxo0bp+rqal9s1rfi186hK74bpev6dNYV343iNBkAAE3A0l/dsWPHDo/XGzZsUKdOnZSbm6urrrpKxhitXr1aixcv1qRJkyRJmzZtUkxMjLZs2aJZs2aptLRU69ev11NPPaWRI0dKkjIzMxUfH6+dO3dq1KhRLb5dAADAWiwdiL6ptLRUkhQZ+dXdVAUFBSoqKlJKSoq7JigoSMOGDdPevXs1a9Ys5ebmyuVyedTExcUpKSlJe/fubTAQVVZWqrKy0v26rKxMkuRyueRyubyab22dt/VofvTEmuiLNdEX66Enjeftvmo1gcgYowULFmjo0KFKSkqSJBUVFUmSYmJiPGpjYmJ09OhRd01gYKA6duxYp6Z2/fosW7ZMS5curTOelZWlkJCQRs09Ozu7UfVofvTEmuiLNdEX66En3jt58qRXda0mEM2dO1f//Oc/tWfPnjrLHA7P62iMMXXGvulcNYsWLdKCBQvcr8vKyhQfH6+UlBSFh4d7NWeXy6Xs7GwlJycrICDAq3XQvOiJNdEXa6Iv1kNPGq/2DM+5tIpANG/ePG3fvl1/+9vf1KVLF/e40+mU9NVRoNjY/7/Tqri42H3UyOl0qqqqSiUlJR5HiYqLizV48OAGPzMoKEhBQUF1xgMCAhr9S3g+66B50RNroi/WRF+sh554z9v9ZOm7zIwxmjt3rp5//nm99tprSkhI8FiekJAgp9PpceiwqqpKu3fvdoed/v37KyAgwKOmsLBQ+fn5Zw1EAADAPix9hOiOO+7Qli1b9Oc//1lhYWHua34iIiLUvn17ORwOpaamKj09XYmJiUpMTFR6erpCQkI0depUd+3MmTN11113KSoqSpGRkbr77rvVu3dv911nAADA3iwdiNauXStJGj58uMf4hg0bdMstt0iS7r33Xp06dUpz5sxRSUmJBg0apKysLIWFhbnrH3vsMfn7+2vKlCk6deqURowYoY0bN8rPz6+lNgUAAFiYpQORMeacNQ6HQ2lpaUpLS2uwJjg4WBkZGcrIyGjC2QEAgLbC0tcQAQAAtAQCEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD1/X08Aza+6xmh/wQkVl59Wp7BgDUyIlF87h6+nBQCAZRCI2rgd+YVa+uJhFZaedo/FRgRryfieGp0U68OZAQBgHZwya8N25BdqduYBjzAkSUWlpzU784B25Bf6aGYAAFgLgaiNqq4xWvriYZl6ltWOLX3xsKpr6qsAAMBeCERt1P6CE3WODH2dkVRYelr7C0603KQAALAoAlEbVVzecBg6nzoAANoyAlEb1SksuEnrAABoywhEbdTAhEjFRgSroZvrHfrqbrOBCZEtOS0AACyJQNRG+bVzaMn4npJUJxTVvl4yvifPIwIAQASiNm10UqzWTusnZ4TnaTFnRLDWTuvHc4gAAPg/PJixjRudFKvknk6eVA0AwFkQiGzAr51DV3w3ytfTAADAsghEOCe+Cw0A0NYRiHBWfBcaAMAOuKgaDeK70AAAdkEgQr34LjQAgJ0QiFAvvgsNAGAnBCLUi+9CAwDYCRdVo17N/V1o3LkGALASAhHqVftdaEWlp+u9jsihr554fT7fhcadawAAq+GUGerVXN+FZvU716prjPZ98IX+nPep9n3wBReNA4BNcIQIDar9LrRvHs1xnufRnHPduebQV3euJfd0+uT0GUeuAMC+CEQ4q6b8LrTG3LnW0l81Unvk6pthrfbIlZ2/DJfrvayBPgDNi0CEc2qq70Kz6p1rVj9y5UscNbOGttSH1hTsWtNcm0tL7AOr7GdbBaLHH39cjz76qAoLC9WrVy+tXr1aV155pa+nZRvNfefa+bLykStf4qiZNbSlPrSmYNea5tpcWmIfWGk/2+ai6meeeUapqalavHix3n77bV155ZUaM2aMPv74Y19PzTZq71xrKPc79NUfwvncufZtWPXIlS/xpHJraEt9sPoNFV/XmubaXFpiH1htP9smEK1atUozZ87UT37yE1188cVavXq14uPjtXbtWl9PzTaa6861b8uqR658iSeVW0Nb6UNrCnataa7NpSX2gRX3sy1OmVVVVSk3N1cLFy70GE9JSdHevXvrXaeyslKVlZXu12VlZZIkl8sll8vl1efW1nlbbwcjvh+tjBsu1UMv/1tFZf+/f50RQVo8podGfD+6WfdXfT3p2yVMzvAgfVZWeZZnLgWpb5cw2/Sy8L9fel3ncoV/68/jb6V+Ld2Hb2qqvrzpZbDb936xBrXwEeJvsvpcW+JvpSX2QUvuZ2/3lS0C0X/+8x9VV1crJibGYzwmJkZFRUX1rrNs2TItXbq0znhWVpZCQkIa9fnZ2dmNqreD+3pKH5Q5VOaSwgOk74Z/qeqjuXr5aMt8/jd7cq3ToSfLag+Yfv0IlZGRNCbmpF7Z8deWmZwFfFjqkOR37rpDeXr52NtN9rn8rXjyVR++6dv2Jfc/3m1H1t/f1Bf/8u2Rl9Yy1+b8W2mJfdCS+/nkyZNe1dkiENVyODxPxRhj6ozVWrRokRYsWOB+XVZWpvj4eKWkpCg83Lv/J+ZyuZSdna3k5GQFBASc/8TRZBrqybWS+h36rM6Rq9iIYC0e00OjesXU825tV3WN0bMr/3bOo2Zzr7+qSU5x8rdSv5buwzc1VV+iCk7oD++9dc66lCsH+fwIkdXn2hJ/Ky2xD1pyP9ee4TkXWwSi6Oho+fn51TkaVFxcXOeoUa2goCAFBQXVGQ8ICGj0L+H5rIPmVV9PxvXpojGXdLbE7Z++FiApbUIvzc48IIfk8Y/x/1/v1UvBQYFN+7n8rXjwVR/qzONb9uWKizp59VVAV1zUyed/b61lrs35t9IS+6Al97O3+8kWF1UHBgaqf//+dQ4xZmdna/DgwT6aFayo9plL1/XprCu+G+Xz/zj7Uu2Typ0RnheTOyOCW9Wt3q1dW+iDVW+oqE9rmmtzaYl9YMX9bIsjRJK0YMECTZ8+XQMGDNAVV1yhJ554Qh9//LFuv/12X08NsKymfFI5zl9b6ENTfxVQc2pNc20uLbEPrLafbROIrr/+en3xxRd68MEHVVhYqKSkJL388svq2rWrr6cGWFpTPakc305b6ENrCnataa7NpSX2gZX2s20CkSTNmTNHc+bM8fU0AMC2WlOwa01zbS4tsQ+ssp9tcQ0RAADA2RCIAACA7RGIAACA7RGIAACA7RGIAACA7RGIAACA7RGIAACA7RGIAACA7RGIAACA7dnqSdXfhjFffR9vWVmZ1+u4XC6dPHlSZWVlfIO3RdATa6Iv1kRfrIeeNF7tv9u1/443hEDkpfLycklSfHy8j2cCAAAaq7y8XBEREQ0ud5hzRSZIkmpqanT8+HGFhYXJ4fDuS+fKysoUHx+vTz75ROHh4c08Q3iDnlgTfbEm+mI99KTxjDEqLy9XXFyc2rVr+EohjhB5qV27durSpct5rRseHs4vrsXQE2uiL9ZEX6yHnjTO2Y4M1eKiagAAYHsEIgAAYHsEomYUFBSkJUuWKCgoyNdTwf+hJ9ZEX6yJvlgPPWk+XFQNAABsjyNEAADA9ghEAADA9ghEAADA9ghEAADA9ghEzeTxxx9XQkKCgoOD1b9/f/3973/39ZTarGXLlumyyy5TWFiYOnXqpIkTJ+rdd9/1qDHGKC0tTXFxcWrfvr2GDx+uQ4cOedRUVlZq3rx5io6OVmhoqCZMmKBjx4615Ka0WcuWLZPD4VBqaqp7jJ74xqeffqpp06YpKipKISEh6tOnj3Jzc93L6UvLO3PmjH7+858rISFB7du3V/fu3fXggw+qpqbGXUNfWoBBk9u6dasJCAgw69atM4cPHzbz5883oaGh5ujRo76eWps0atQos2HDBpOfn2/y8vLM2LFjzYUXXmgqKircNcuXLzdhYWHmueeeMwcPHjTXX3+9iY2NNWVlZe6a22+/3XTu3NlkZ2ebAwcOmKuvvtpceuml5syZM77YrDZj//79plu3buaSSy4x8+fPd4/Tk5Z34sQJ07VrV3PLLbeYN9980xQUFJidO3ea999/311DX1reQw89ZKKiosxf/vIXU1BQYP70pz+ZDh06mNWrV7tr6EvzIxA1g4EDB5rbb7/dY6xHjx5m4cKFPpqRvRQXFxtJZvfu3cYYY2pqaozT6TTLly9315w+fdpERESY3/3ud8YYY/773/+agIAAs3XrVnfNp59+atq1a2d27NjRshvQhpSXl5vExESTnZ1thg0b5g5E9MQ37rvvPjN06NAGl9MX3xg7dqy59dZbPcYmTZpkpk2bZoyhLy2FU2ZNrKqqSrm5uUpJSfEYT0lJ0d69e300K3spLS2VJEVGRkqSCgoKVFRU5NGToKAgDRs2zN2T3NxcuVwuj5q4uDglJSXRt2/hjjvu0NixYzVy5EiPcXriG9u3b9eAAQM0efJkderUSX379tW6devcy+mLbwwdOlSvvvqqjhw5Ikl65513tGfPHl177bWS6EtL4ctdm9h//vMfVVdXKyYmxmM8JiZGRUVFPpqVfRhjtGDBAg0dOlRJSUmS5N7v9fXk6NGj7prAwEB17NixTg19Oz9bt27VgQMHlJOTU2cZPfGNDz/8UGvXrtWCBQt0//33a//+/brzzjsVFBSkm2++mb74yH333afS0lL16NFDfn5+qq6u1sMPP6wbb7xREn8vLYVA1EwcDofHa2NMnTE0vblz5+qf//yn9uzZU2fZ+fSEvp2fTz75RPPnz1dWVpaCg4MbrKMnLaumpkYDBgxQenq6JKlv3746dOiQ1q5dq5tvvtldR19a1jPPPKPMzExt2bJFvXr1Ul5enlJTUxUXF6cZM2a46+hL8+KUWROLjo6Wn59fnUReXFxcJ92jac2bN0/bt2/Xrl271KVLF/e40+mUpLP2xOl0qqqqSiUlJQ3WwHu5ubkqLi5W//795e/vL39/f+3evVu/+c1v5O/v796n9KRlxcbGqmfPnh5jF198sT7++GNJ/K34yj333KOFCxfqhhtuUO/evTV9+nT97Gc/07JlyyTRl5ZCIGpigYGB6t+/v7Kzsz3Gs7OzNXjwYB/Nqm0zxmju3Ll6/vnn9dprrykhIcFjeUJCgpxOp0dPqqqqtHv3bndP+vfvr4CAAI+awsJC5efn07fzMGLECB08eFB5eXnunwEDBuimm25SXl6eunfvTk98YMiQIXUeSXHkyBF17dpVEn8rvnLy5Em1a+f5z7Gfn5/7tnv60kJ8dDF3m1Z72/369evN4cOHTWpqqgkNDTUfffSRr6fWJs2ePdtERESY119/3RQWFrp/Tp486a5Zvny5iYiIMM8//7w5ePCgufHGG+u9ZbVLly5m586d5sCBA+aaa67hltUm9PW7zIyhJ76wf/9+4+/vbx5++GHz3nvvmc2bN5uQkBCTmZnprqEvLW/GjBmmc+fO7tvun3/+eRMdHW3uvfdedw19aX4Eomby29/+1nTt2tUEBgaafv36uW8BR9OTVO/Phg0b3DU1NTVmyZIlxul0mqCgIHPVVVeZgwcPerzPqVOnzNy5c01kZKRp3769GTdunPn4449beGvarm8GInriGy+++KJJSkoyQUFBpkePHuaJJ57wWE5fWl5ZWZmZP3++ufDCC01wcLDp3r27Wbx4samsrHTX0Jfm5zDGGF8eoQIAAPA1riECAAC2RyACAAC2RyACAAC2RyACAAC2RyACAAC2RyACAAC2RyACAAC2RyAC0OYYY/TTn/5UkZGRcjgcysvL8/WUAFgcD2YE0Ob89a9/1XXXXafXX39d3bt3V3R0tPz9/X09LQAWxn8hALQ5H3zwgWJjYxv8UsuqqioFBga28KwAWBmnzAC0KbfccovmzZunjz/+WA6HQ926ddPw4cM1d+5cLViwQNHR0UpOTpYkHT58WNdee606dOigmJgYTZ8+Xf/5z3/c7/Xll1/q5ptvVocOHRQbG6uVK1dq+PDhSk1N9dHWAWguBCIAbcqvf/1rPfjgg+rSpYsKCwuVk5MjSdq0aZP8/f31j3/8Q7///e9VWFioYcOGqU+fPnrrrbe0Y8cOffbZZ5oyZYr7ve655x7t2rVL27ZtU1ZWll5//XXl5ub6atMANCNOmQFoUyIiIhQWFiY/Pz85nU73+EUXXaQVK1a4Xz/wwAPq16+f0tPT3WNPPvmk4uPjdeTIEcXFxWn9+vX6wx/+4D6itGnTJnXp0qXlNgZAiyEQAbCFAQMGeLzOzc3Vrl271KFDhzq1H3zwgU6dOqWqqipdccUV7vHIyEh9//vfb/a5Amh5BCIAthAaGurxuqamRuPHj9cjjzxSpzY2NlbvvfdeS00NgAUQiADYUr9+/fTcc8+pW7du9d6Sf9FFFykgIEBvvPGGLrzwQklSSUmJjhw5omHDhrX0dAE0My6qBmBLd9xxh06cOKEbb7xR+/fv14cffqisrCzdeuutqq6uVocOHTRz5kzdc889evXVV5Wfn69bbrlF7drxn02gLeIIEQBbiouL0z/+8Q/dd999GjVqlCorK9W1a1eNHj3aHXoeffRRVVRUaMKECQoLC9Ndd92l0tJSH88cQHPgSdUA0AjDhw9Xnz59tHr1al9PBUAT4tgvAACwPQIRAACwPU6ZAQAA2+MIEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsD0CEQAAsL3/BcTN2YABlwqLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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S4uwnbwsHAADtw6/hJjc312N7xYoVio2N1Z49ezR69Ohm98nPz9cnn3yimJiToWHAgAFtXWqTgoNsykhL0IzsQtkkj4DTsMJNRloC690AANCOAmqdG5fLJUnu0NKUDRs2aPjw4XrkkUf0pz/9SZGRkbr22mu1ePFide3atdH8mpoa1dTUuLfLy8slSbW1taqtrfWqroZ5Tc2/8vweeuLGIVqy8V8qLf//7xNnD9OC8RfoyvN7eP194JtT9QX+Q18CDz0JTPTFN778nGzGmIC4T9kYo+uuu07ffPONtm/f3uy81NRUbd26VVdddZUWLlyow4cP61e/+pWuuOKKJq+7WbRokTIzMxuNr1q1ShEREa1Wf72R9pfbVF4rRYdKg6KNOGADAEDrqKqq0qRJk+RyuRQdHX3KuQETbtLT0/XGG29ox44d6tOnT7PzUlJStH37dpWWlsput0uS1q1bp+uvv16VlZWNjt40deSmb9++Onz48Gl/OA1qa2uVl5en5ORkhYaGtuDToS3Ql8BEXwIPPQlM9MU35eXl6tGjh1fhJiBOS82aNUsbNmzQtm3bThlsJMnhcKh3797uYCNJ3/ve92SM0b///W+dd955HvPDwsIUFhbW6H1CQ0N9/mVqyT5oe/QlMNGXwENPAhN98Y4vPyO/3gpujNHMmTO1bt06bd68WfHx8afdZ9SoUfryyy919OhR99iHH36ooKCg0wYjAABgfX4NN+np6crOztaqVasUFRWl0tJSlZaW6tixY+458+fP15QpU9zbkyZNUvfu3TV9+nQVFxdr27Ztmjdvnm655ZYmLygGAACdi1/DTVZWllwul8aOHSuHw+H+Wr16tXuO0+nUgQMH3NvdunVTXl6ejhw5ouHDh+vnP/+50tLS9Pjjj/vjIwAAgADj12tuvLmWeeXKlY3GLrjgAuXl5bVBRQAAoKPj2VIAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSQvxdAHxTV29UUFKmQxXVio0KV1J8jIKDbP4uCwCAgEG46UByi5zKzCmW01XtHnPYw5WRlqDURIcfKwMAIHBwWqqDyC1yakZ2oUewkaRSV7VmZBcqt8jpp8oAAAgshJsOoK7eKDOnWKaJ1xrGMnOKVVff1AwAADoXwk0HUFBS1uiIzbcZSU5XtQpKytqvKAAAAhThpgM4VNF8sGnJPAAArIxw0wHERoW36jwAAKyMcNMBJMXHyGEPV3M3fNt08q6ppPiY9iwLAICARLjpAIKDbMpIS5CkRgGnYTsjLYH1bgAAEOGmw0hNdChr8jDF2T1PPcXZw5U1eRjr3AAA8H9YxK8DSU10KDkhjhWKAQA4BcJNBxMcZNPIQd39XQYAAAGL01IAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSePxCJ1JXb3guFQDA8gg3nURukVOZOcVyuqrdYw57uDLSEniiOADAUjgt1QnkFjk1I7vQI9hIUqmrWjOyC5Vb5PRTZQAAtD7CjcXV1Rtl5hTLNPFaw1hmTrHq6puaAQBAx0O4sbiCkrJGR2y+zUhyuqpVUFLWfkUBANCGCDcWd6ii+WDTknkAAAQ6wo3FxUaFt+o8AAACHeHG4pLiY+Swh6u5G75tOnnXVFJ8THuWBQBAmyHcWFxwkE0ZaQmS1CjgNGxnpCWw3g0AwDIIN51AaqJDWZOHKc7ueeopzh6urMnDWOcGAGApLOLXSaQmOpScEMcKxQAAyyPcdCLBQTaNHNTd32UAANCmOC0FAAAshXADAAAshXADAAAshXADAAAshXADAAAshXADAAAshXADAAAshXADAAAshXADAAAshXADAAAsxa/hZunSpRoxYoSioqIUGxuriRMnat++fV7v/9ZbbykkJERDhw5tuyIBAECH4tdwk5+fr/T0dO3atUt5eXk6ceKEUlJSVFlZedp9XS6XpkyZoiuvvLIdKm0bdfVGO/d/rfV7v9DO/V+rrt74uyQAADo8vz44Mzc312N7xYoVio2N1Z49ezR69OhT7nv77bdr0qRJCg4O1uuvv96GVbaN3CKnMnOK5XRVu8cc9nBlpCUoNdHhx8oAAOjYAuqaG5fLJUmKiYk55bwVK1Zo//79ysjIaI+yWl1ukVMzsgs9go0klbqqNSO7ULlFTj9VBgBAx+fXIzffZozR3LlzdemllyoxMbHZeR999JHuvfdebd++XSEhpy+/pqZGNTU17u3y8nJJUm1trWpra72qrWGet/NPpa7eaNGGD9TUCSgjySYpM+cDjT2vu4KDbGf8/aysNfuC1kNfAg89CUz0xTe+/JwCJtzMnDlT7733nnbs2NHsnLq6Ok2aNEmZmZn6j//4D6/ed+nSpcrMzGw0vmnTJkVERPhUY15enk/zm/KRy6bS8uBmXzeSnK4aPbk6V+fZuQbHG63RF7Q++hJ46Elgoi/eqaqq8nquzRjj97+gs2bN0uuvv65t27YpPj6+2XlHjhzR2WefreDg/w8H9fX1MsYoODhYmzZt0hVXXOGxT1NHbvr27avDhw8rOjraq/pqa2uVl5en5ORkhYaG+vjpPOW859TcV98/7bxHb/i+0i7k2ptTac2+oPXQl8BDTwITffFNeXm5evToIZfLddq/3349cmOM0axZs/Taa69p69atpww2khQdHa333/cMBk899ZQ2b96sNWvWNLl/WFiYwsLCGo2Hhob6/MvUkn2+y3FWpNfz+GX3Tmv0Ba2PvgQeehKY6It3fPkZ+TXcpKena9WqVVq/fr2ioqJUWloqSbLb7erataskaf78+friiy/04osvKigoqNH1OLGxsQoPDz/ldTqBJCk+Rg57uEpd1U1ed2OTFGcPV1L8qS+qBgAATfPr3VJZWVlyuVwaO3asHA6H+2v16tXuOU6nUwcOHPBjla0rOMimjLQESSeDzLc1bGekJXAxMQAALeT301Kns3LlylO+vmjRIi1atKh1CmonqYkOZU0e1midmzjWuQEA4IwFzN1SnU1qokPJCXEqKCnToYpqxUadPBXFERsAAM4M4caPgoNsGjmou7/LAADAUgJqhWIAAIAzRbgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWQrgBAACWEuLvAqyort6ooKRMhyqqFRsVrqT4GAUH2fxdFgAAnQLhppXlFjmVmVMsp6vaPeawhysjLUGpiQ4/VgYAQOfAaalWlFvk1IzsQo9gI0mlrmrNyC5UbpHTT5UBANB5EG5aSV29UWZOsUwTrzWMZeYUq66+qRkAAKC1EG5aSUFJWaMjNt9mJDld1SooKWu/ogAA6IQIN63kUEXzwaYl8wAAQMsQblpJbFR4q84DAAAtQ7hpJUnxMXLYw9XcDd82nbxrKik+pj3LAgCg0yHctJLgIJsy0hIkqVHAadjOSEtgvRsAANoY4aYVpSY6lDV5mOLsnqee4uzhypo8jHVuAABoByzi18pSEx1KTohjhWIAAPyEcNMGgoNsGjmou7/LAACgU+K0FAAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBTCDQAAsBSeCo4zVldvVFBSpkMV1YqNCldSfIyCg2z+LgsA0EkRbnBGcoucyswpltNV7R5z2MOVkZag1ESHHysDAHRWnJZCi+UWOTUju9Aj2EhSqataM7ILlVvk9FNlAIDOjHCDFqmrN8rMKZZp4rWGscycYtXVNzUDAIC2Q7hBixSUlDU6YvNtRpLTVa2CkrL2KwoAABFu0EKHKpoPNi2ZBwBAayHcoEVio8JbdR4AAK2FcIMWSYqPkcMeruZu+Lbp5F1TSfEx7VkWAACEG7RMcJBNGWkJktQo4DRsZ6QlsN4NAKDdEW7QYqmJDmVNHqY4u+eppzh7uLImD2OdGwCAX7CIH85IaqJDyQlxrFAMAAgYhBucseAgm0YO6u7vMgAAkMRpKQAAYDGEGwAAYCmEGwAAYCmEGwAAYCl+DTdLly7ViBEjFBUVpdjYWE2cOFH79u075T7r1q1TcnKyzjnnHEVHR2vkyJH661//2k4VAwCAQOfXcJOfn6/09HTt2rVLeXl5OnHihFJSUlRZWdnsPtu2bVNycrI2btyoPXv26PLLL1daWpreeeeddqwcAAAEKr/eCp6bm+uxvWLFCsXGxmrPnj0aPXp0k/s89thjHtsPPfSQ1q9fr5ycHF100UVtVSoAAOggAmqdG5fLJUmKifH+eUT19fWqqKhodp+amhrV1NS4t8vLyyVJtbW1qq2t9ep7NMzzdj7aB30JTPQl8NCTwERffOPLz8lmjDFtWIvXjDG67rrr9M0332j79u1e7/fb3/5Wy5Yt0z//+U/FxsY2en3RokXKzMxsNL5q1SpFREScUc0AAKB9VFVVadKkSXK5XIqOjj7lXJ/DzbFjx9S1a9cmX3M6nXI4WvY8ofT0dL3xxhvasWOH+vTp49U+L7/8sm677TatX79eV111VZNzmjpy07dvXx0+fPi0P5wGtbW1ysvLU3JyskJDQ73aB22PvgQm+hJ46Elgoi++KS8vV48ePbwKNz6flrrooou0atUqDRs2zGN8zZo1mjFjhr766itf31KzZs3Shg0btG3bNq+DzerVq3Xrrbfq1VdfbTbYSFJYWJjCwsIajYeGhvr8y9SSfdD26Etgoi+Bh54EJvriHV9+Rj7fLZWcnKxLLrlEy5YtkzFGR48e1bRp0zR16lQtXLjQp/cyxmjmzJlat26dNm/erPj4eK/2e/nllzVt2jStWrVKEyZM8PUjAAAAC/P5yM0TTzyhCRMmaPr06XrjjTf05ZdfKjo6Wrt371ZCQoJP75Wenq5Vq1Zp/fr1ioqKUmlpqSTJbre7T33Nnz9fX3zxhV588UVJJ4PNlClT9Ic//EE//OEP3ft07dpVdrvd148DAAAspkXr3KSkpOjHP/6x3nrrLX3++edatmyZz8FGkrKysuRyuTR27Fg5HA731+rVq91znE6nDhw44N7+4x//qBMnTig9Pd1jn9mzZ7fkowAAAIvx+cjN/v37NWnSJJWWluqvf/2r8vPzdd111+nOO+/Ugw8+6NM5MW+uZV65cqXH9tatW32sGAAAdCY+H7kZOnSo4uPj9e677yo5OVlLlizR5s2btW7dOiUlJbVFjQAAAF7zOdw89dRTeuWVV3TWWWe5xy655BK98847je6gAgAAaG8+h5ubb765yfGoqCg999xzZ1wQAADAmfD5mpuGu5aaYrPZmg0/AAAA7cHncPPdu5Jqa2tVVVWlLl26KCIignADAAD8yufTUt98843H19GjR7Vv3z5deumlevnll9uiRgAAAK+1aJ2b7zrvvPO0bNky1poBAAB+1yrhRpKCg4P15ZdfttbbAQAAtIjP19xs2LDBY9sYI6fTqSeffFKjRo1qtcIAAABawudwM3HiRI9tm82mc845R1dccYWWL1/eWnUBAAC0iM/hpr6+vi3qAAAAaBWtds0NAABAIPDqyM3cuXO9fsNHH320xcUAAACcKa/CzYoVK5SYmKiQkBDZbLZmn+Zts9latTgAAABfeRVuXC6X1q5dq9jYWA0cOFC7d+9W9+7d27o2AAAAn3l1zc3ZZ5+tkpISSdKnn37KRcUAACBgeXXk5ic/+YlGjx6tXr16yWazafjw4QoODm5y7ieffNKqBQIAAPjCq3DzzDPP6Mc//rE+/vhj3XnnnfrFL36hqKiotq4NAADAZ16vc5OamipJ2rNnj2bPnk24AQAAAcnnRfxWrFjRFnUAAAC0ChbxAwAAlkK4AQAAlkK4AQAAlkK4AQAAlkK4AQAAlkK4AQAAlkK4AQAAluLzOjdAR1FXb1RQUqZDFdWKjQpXUnyMgoN4cj0AWB3hBpaUW+RUZk6xnK5q95jDHq6MtASlJjr8WBkAoK1xWgqWk1vk1IzsQo9gI0mlrmrNyC5UbpHTT5UBANoD4QaWUldvlJlTLNPEaw1jmTnFqqtvagYAwAoIN7CUgpKyRkdsvs1IcrqqVVBS1n5FAQDaFeEGlnKoovlg05J5AICOh3ADS4mNCm/VeQCAjodwA0tJio+Rwx6u5m74tunkXVNJ8THtWRYAoB0RbmApwUE2ZaQlSFKjgNOwnZGWwHo3AGBhhBtYTmqiQ1mThynO7nnqKc4erqzJw1jnBgAsjkX8YEmpiQ4lJ8SxQjEAdEKEG1hWcJBNIwd193cZAIB2xmkpAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKX4NN0uXLtWIESMUFRWl2NhYTZw4Ufv27Tvtfvn5+br44osVHh6ugQMH6umnn26HagEAQEfg13CTn5+v9PR07dq1S3l5eTpx4oRSUlJUWVnZ7D4lJSW6+uqrddlll+mdd97RfffdpzvvvFNr165tx8oBAECgCvHnN8/NzfXYXrFihWJjY7Vnzx6NHj26yX2efvpp9evXT4899pgk6Xvf+57efvtt/e53v9NPfvKTti4ZAAAEuIC65sblckmSYmJimp2zc+dOpaSkeIyNGzdOb7/9tmpra9u0PgAAEPj8euTm24wxmjt3ri699FIlJiY2O6+0tFQ9e/b0GOvZs6dOnDihw4cPy+FweLxWU1Ojmpoa93Z5ebkkqba21usw1DCP8BRY6Etgoi+Bh54EJvriG19+TgETbmbOnKn33ntPO3bsOO1cm83msW2MaXJcOnnRcmZmZqPxTZs2KSIiwqca8/LyfJqP9kFfAhN9CTz0JDDRF+9UVVV5PTcgws2sWbO0YcMGbdu2TX369Dnl3Li4OJWWlnqMHTp0SCEhIerevXuj+fPnz9fcuXPd2+Xl5erbt69SUlIUHR3tVX21tbXKy8tTcnKyQkNDvdoHbY++BCb6EnjoSWCiL75pOPPiDb+GG2OMZs2apddee01bt25VfHz8afcZOXKkcnJyPMY2bdqk4cOHN/nLERYWprCwsEbjoaGhPv8ytWQftD36EpjoS+ChJ4GJvnjHl5+RXy8oTk9PV3Z2tlatWqWoqCiVlpaqtLRUx44dc8+ZP3++pkyZ4t6+44479Nlnn2nu3Ln65z//qeeff17PPfec/vM//9MfHwEAAAQYv4abrKwsuVwujR07Vg6Hw/21evVq9xyn06kDBw64t+Pj47Vx40Zt3bpVQ4cO1eLFi/X4449zGzgAAJAUAKelTmflypWNxsaMGaPCwsI2qAgAAHR0AbXODQAAwJki3AAAAEsh3AAAAEsJiHVuALSPunqjgpIyHaqoVmxUuJLiYxQc1HjxSwDoyAg3QCeRW+RUZk6xnK5q95jDHq6MtASlJjpOsScAdCyclgI6gdwip2ZkF3oEG0kqdVVrRnahcoucfqoMAFof4QawuLp6o8ycYjW18ELDWGZOserqT780AwB0BIQbwOIKSsoaHbH5NiPJ6apWQUlZ+xUFAG2IcANY3KGK5oNNS+YBQKAj3AAWFxsV3qrzACDQEW4Ai0uKj5HDHq7mbvi26eRdU0nxMe1ZFgC0GcINYHHBQTZlpCVIUqOA07CdkZbAejcALINwA3QCqYkOZU0epji756mnOHu4siYPY50bAJbCIn5AJ5Ga6FByQhwrFAOwPMIN0IkEB9k0clB3f5cBAG2K01IAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSQvxdAAB0JnX1RgUlZTpUUa3YqHAlxccoOMjm77IASyHcAEA7yS1yKjOnWE5XtXvMYQ9XRlqCUhMdfqwMsBZOSwFAO8gtcmpGdqFHsJGkUle1ZmQXKrfI6afKAOsh3ABAG6urN8rMKZZp4rWGscycYtXVNzUDgK8INwDQxgpKyhodsfk2I8npqlZBSVn7FQVYGOEGANrYoYrmg01L5gE4NcINALSx2KjwVp0H4NQINwDQxpLiY+Swh6u5G75tOnnXVFJ8THuWBVgW4QYA2lhwkE0ZaQmS1CjgNGxnpCWw3g3QSgg3ANAOUhMdypo8THF2z1NPcfZwZU0exjo3QCtiET8AaCepiQ4lJ8SxQjHQxgg3ANCOgoNsGjmou7/LACyN01IAAMBSCDcAAMBSCDcAAMBSCDcAAMBSuKAYAOCzunrDXV8IWIQbAIBPcoucyswp9ngYqMMeroy0BNbrQUDgtBQAwGu5RU7NyC5s9JTzUle1ZmQXKrfI6afKgP/n13Czbds2paWlqVevXrLZbHr99ddPu89LL72kIUOGKCIiQg6HQ9OnT9fXX3/d9sUCQCdXV2+UmVMs08RrDWOZOcWqq29qBtB+/BpuKisrNWTIED355JNezd+xY4emTJmiW2+9VR988IFeffVV7d69W7fddlsbVwoAKCgpa3TE5tuMJKerWgUlZe1XFNAEv15zM378eI0fP97r+bt27dKAAQN05513SpLi4+N1++2365FHHmmrEgEA/+dQRfPBpiXzgLbSoS4ovuSSS7RgwQJt3LhR48eP16FDh7RmzRpNmDCh2X1qampUU1Pj3i4vL5ck1dbWqra21qvv2zDP2/loH/QlMNGXwNNaPeke4d2fjO4RIfTfC/xb8Y0vPyebMSYgTo7abDa99tprmjhx4innrVmzRtOnT1d1dbVOnDiha6+9VmvWrFFoaGiT8xctWqTMzMxG46tWrVJERERrlA4AnUK9kTILg3XkuCQ1ddu30VldpIxhdeKucLS2qqoqTZo0SS6XS9HR0aec26HCTXFxsa666irdddddGjdunJxOp+bNm6cRI0boueeea3Kfpo7c9O3bV4cPHz7tD6dBbW2t8vLylJyc3GyIQvujL4GJvgSe1uzJXz84qFmvvCtJHhcWN2SZJ24conGDe57R9+gs+Lfim/LycvXo0cOrcNOhTkstXbpUo0aN0rx58yRJF154oSIjI3XZZZdpyZIlcjgar68QFhamsLCwRuOhoaE+/zK1ZB+0PfoSmOhL4GmNnlwztI9CQoIbrXMTxzo3Lca/Fe/48jPqUOGmqqpKISGeJQcHB0uSAuQAFABYXmqiQ8kJcaxQjIDl13Bz9OhRffzxx+7tkpIS7d27VzExMerXr5/mz5+vL774Qi+++KIkKS0tTb/4xS+UlZXlPi01Z84cJSUlqVevXv76GADQ6QQH2TRyUHd/l+E1HhfRufg13Lz99tu6/PLL3dtz586VJE2dOlUrV66U0+nUgQMH3K9PmzZNFRUVevLJJ/XrX/9aZ511lq644go9/PDD7V47AKBj4HERnY9fw83YsWNPeTpp5cqVjcZmzZqlWbNmtWFVAACraHhcxHf/0jQ8LiJr8jACjgXxbCkAgCXxuIjOi3ADALAkHhfReRFuAACWxOMiOi/CDQDAkmKjwlt1HjoOwg0AwJKS4mPksIc3+aAI6eSqyg77ydvCYS2EGwCAJQUH2ZSRliCp8ZOwGrYz0hJY78aCCDcAAMtKTXQoa/Iwxdk9Tz3F2cO5DdzCOtTjFwAA8BWPi+h8CDcAAMvraI+LwJnhtBQAALAUwg0AALAUwg0AALAUrrkBAKATqKs3neaiasINAAAWl1vkVGZOscezthz2cGWkJVjydnhOSwEAYGG5RU7NyC5s9BDRUle1ZmQXKrfI6afK2g7hBgAAi6qrN8rMKZZp4rWGscycYtXVNzWj4yLcAABgUQUlZY2O2HybkeR0VaugpKz9imoHXHMDAIBFHapoPti0ZN7pBMpFy4QbAAAsKjYq/PSTfJh3KoF00TKnpQAAsKik+Bg57OGNnorewKaTASQpPuaMvk+gXbRMuAEAwKKCg2zKSEuQpEYBp2E7Iy3hjE4dBeJFy4QbAAAsLDXRoazJwxRn9zz1FGcPV9bkYWd8yigQL1rmmhsAACwuNdGh5IS4NrnYt70vWvYG4QYAgE4gOMimkYO6t/r7tudFy97itBQAAGix9rpo2ReEGwAA0GLtcdGyrwg3AADgjLT1Rcu+4pobAABwxtryomVfEW4AAECraKuLln3FaSkAAGAphBsAAGAphBsAAGAphBsAAGAphBsAAGAphBsAAGAphBsAAGAphBsAAGAphBsAAGApnW6FYmOMJKm8vNzrfWpra1VVVaXy8nKFhoa2VWnwEX0JTPQl8NCTwERffNPwd7vh7/ipdLpwU1FRIUnq27evnysBAAC+qqiokN1uP+Ucm/EmAllIfX29vvzyS0VFRclm8+5hXuXl5erbt68+//xzRUdHt3GF8BZ9CUz0JfDQk8BEX3xjjFFFRYV69eqloKBTX1XT6Y7cBAUFqU+fPi3aNzo6ml/AAERfAhN9CTz0JDDRF++d7ohNAy4oBgAAlkK4AQAAlkK48UJYWJgyMjIUFhbm71LwLfQlMNGXwENPAhN9aTud7oJiAABgbRy5AQAAlkK4AQAAlkK4AQAAlkK4AQAAlkK48cJTTz2l+Ph4hYeH6+KLL9b27dv9XZJlLV26VCNGjFBUVJRiY2M1ceJE7du3z2OOMUaLFi1Sr1691LVrV40dO1YffPCBx5yamhrNmjVLPXr0UGRkpK699lr9+9//bs+PYllLly6VzWbTnDlz3GP0xD+++OILTZ48Wd27d1dERISGDh2qPXv2uF+nL+3vxIkTuv/++xUfH6+uXbtq4MCBeuCBB1RfX++eQ1/agcEpvfLKKyY0NNQ8++yzpri42MyePdtERkaazz77zN+lWdK4cePMihUrTFFRkdm7d6+ZMGGC6devnzl69Kh7zrJly0xUVJRZu3atef/9983PfvYz43A4THl5uXvOHXfcYXr37m3y8vJMYWGhufzyy82QIUPMiRMn/PGxLKOgoMAMGDDAXHjhhWb27NnucXrS/srKykz//v3NtGnTzD/+8Q9TUlJi/va3v5mPP/7YPYe+tL8lS5aY7t27m//5n/8xJSUl5tVXXzXdunUzjz32mHsOfWl7hJvTSEpKMnfccYfH2AUXXGDuvfdeP1XUuRw6dMhIMvn5+cYYY+rr601cXJxZtmyZe051dbWx2+3m6aefNsYYc+TIERMaGmpeeeUV95wvvvjCBAUFmdzc3Pb9ABZSUVFhzjvvPJOXl2fGjBnjDjf0xD/uuecec+mllzb7On3xjwkTJphbbrnFY+zHP/6xmTx5sjGGvrQXTkudwvHjx7Vnzx6lpKR4jKekpOjvf/+7n6rqXFwulyQpJiZGklRSUqLS0lKPnoSFhWnMmDHunuzZs0e1tbUec3r16qXExET6dgbS09M1YcIEXXXVVR7j9MQ/NmzYoOHDh+uGG25QbGysLrroIj377LPu1+mLf1x66aV688039eGHH0qS3n33Xe3YsUNXX321JPrSXjrdgzN9cfjwYdXV1alnz54e4z179lRpaamfquo8jDGaO3euLr30UiUmJkqS++feVE8+++wz95wuXbro7LPPbjSHvrXMK6+8osLCQu3evbvRa/TEPz755BNlZWVp7ty5uu+++1RQUKA777xTYWFhmjJlCn3xk3vuuUcul0sXXHCBgoODVVdXpwcffFA33XSTJP69tBfCjRdsNpvHtjGm0Rha38yZM/Xee+9px44djV5rSU/oW8t8/vnnmj17tjZt2qTw8PBm59GT9lVfX6/hw4froYcekiRddNFF+uCDD5SVlaUpU6a459GX9rV69WplZ2dr1apVGjx4sPbu3as5c+aoV69emjp1qnsefWlbnJY6hR49eig4OLhRUj506FCj1I3WNWvWLG3YsEFbtmxRnz593ONxcXGSdMqexMXF6fjx4/rmm2+anQPv7dmzR4cOHdLFF1+skJAQhYSEKD8/X48//rhCQkLcP1N60r4cDocSEhI8xr73ve/pwIEDkvi34i/z5s3TvffeqxtvvFHf//73dfPNN+uuu+7S0qVLJdGX9kK4OYUuXbro4osvVl5ensd4Xl6eLrnkEj9VZW3GGM2cOVPr1q3T5s2bFR8f7/F6fHy84uLiPHpy/Phx5efnu3ty8cUXKzQ01GOO0+lUUVERfWuBK6+8Uu+//7727t3r/ho+fLh+/vOfa+/evRo4cCA98YNRo0Y1Wibhww8/VP/+/SXxb8VfqqqqFBTk+ac1ODjYfSs4fWknfrqQucNouBX8ueeeM8XFxWbOnDkmMjLSfPrpp/4uzZJmzJhh7Ha72bp1q3E6ne6vqqoq95xly5YZu91u1q1bZ95//31z0003NXkbZZ8+fczf/vY3U1hYaK644gpuo2xF375byhh64g8FBQUmJCTEPPjgg+ajjz4yL730komIiDDZ2dnuOfSl/U2dOtX07t3bfSv4unXrTI8ePczdd9/tnkNf2h7hxgv/9V//Zfr372+6dOlihg0b5r4tGa1PUpNfK1ascM+pr683GRkZJi4uzoSFhZnRo0eb999/3+N9jh07ZmbOnGliYmJM165dzTXXXGMOHDjQzp/Gur4bbuiJf+Tk5JjExEQTFhZmLrjgAvPMM894vE5f2l95ebmZPXu26devnwkPDzcDBw40CxYsMDU1Ne459KXt2Ywxxp9HjgAAAFoT19wAAABLIdwAAABLIdwAAABLIdwAAABLIdwAAABLIdwAAABLIdwAAABLIdwACGjGGP3yl79UTEyMbDab9u7d6++SAAQ4FvEDEND+8pe/6LrrrtPWrVs1cOBA9ejRQyEhIf4uC0AA4/8QAALa/v375XA4mn1g4PHjx9WlS5d2rgpAIOO0FICANW3aNM2aNUsHDhyQzWbTgAEDNHbsWM2cOVNz585Vjx49lJycLEkqLi7W1VdfrW7duqlnz566+eabdfjwYfd7VVZWasqUKerWrZscDoeWL1+usWPHas6cOX76dADaCuEGQMD6wx/+oAceeEB9+vSR0+nU7t27JUkvvPCCQkJC9NZbb+mPf/yjnE6nxowZo6FDh+rtt99Wbm6uDh48qJ/+9Kfu95o3b562bNmi1157TZs2bdLWrVu1Z88ef300AG2I01IAApbdbldUVJSCg4MVFxfnHj/33HP1yCOPuLcXLlyoYcOG6aGHHnKPPf/88+rbt68+/PBD9erVS88995xefPFF95GeF154QX369Gm/DwOg3RBuAHQ4w4cP99jes2ePtmzZom7dujWau3//fh07dkzHjx/XyJEj3eMxMTE6//zz27xWAO2PcAOgw4mMjPTYrq+vV1pamh5++OFGcx0Ohz766KP2Kg1AACDcAOjwhg0bprVr12rAgAFN3iZ+7rnnKjQ0VLt27VK/fv0kSd98840+/PBDjRkzpr3LBdDGuKAYQIeXnp6usrIy3XTTTSooKNAnn3yiTZs26ZZbblFdXZ26deumW2+9VfPmzdObb76poqIiTZs2TUFB/C8QsCKO3ADo8Hr16qW33npL99xzj8aNG6eamhr1799fqamp7gDz29/+VkePHtW1116rqKgo/frXv5bL5fJz5QDaAisUA+i0xo4dq6FDh+qxxx7zdykAWhHHZAEAgKUQbgAAgKVwWgoAAFgKR24AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAICl/C++knb1MxWDZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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