Worked example plotting data with WCS defined axes

WCSAxes Example.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 261,
   "id": "12e0c479",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from astroquery.vizier import Vizier\n",
    "from astropy.wcs import WCS"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48d50a49",
   "metadata": {},
   "source": [
    "Let's get some data from Meingast 2021"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 262,
   "id": "8d7a9256",
   "metadata": {},
   "outputs": [],
   "source": [
    "cat = Vizier(catalog='J/A+A/645/A84/coronae')\n",
    "cat.ROW_LIMIT = -1\n",
    "meing = cat.query_constraints(Cluster='  Blanco 1')[0]  #we'll take a cluster that is on 0hr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 304,
   "id": "923e4ba7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GaiaDR2</th>\n",
       "      <th>RA_ICRS</th>\n",
       "      <th>DE_ICRS</th>\n",
       "      <th>Dist_raw_</th>\n",
       "      <th>Dist_xd_</th>\n",
       "      <th>UVel</th>\n",
       "      <th>VVel</th>\n",
       "      <th>WVel</th>\n",
       "      <th>fc</th>\n",
       "      <th>_RA.icrs</th>\n",
       "      <th>_DE.icrs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>4.940000e+02</td>\n",
       "      <td>494.000000</td>\n",
       "      <td>494.000000</td>\n",
       "      <td>494.000000</td>\n",
       "      <td>494.000000</td>\n",
       "      <td>68.000000</td>\n",
       "      <td>68.000000</td>\n",
       "      <td>68.000000</td>\n",
       "      <td>494.000000</td>\n",
       "      <td>494.000000</td>\n",
       "      <td>494.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2.475567e+18</td>\n",
       "      <td>69.713316</td>\n",
       "      <td>-30.080772</td>\n",
       "      <td>237.616638</td>\n",
       "      <td>237.162369</td>\n",
       "      <td>-18.518544</td>\n",
       "      <td>-6.519764</td>\n",
       "      <td>-10.287191</td>\n",
       "      <td>0.004066</td>\n",
       "      <td>69.713316</td>\n",
       "      <td>-30.080772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>6.204200e+17</td>\n",
       "      <td>139.923432</td>\n",
       "      <td>2.057465</td>\n",
       "      <td>7.619063</td>\n",
       "      <td>3.048666</td>\n",
       "      <td>0.832280</td>\n",
       "      <td>0.339649</td>\n",
       "      <td>2.601364</td>\n",
       "      <td>0.012176</td>\n",
       "      <td>139.923432</td>\n",
       "      <td>2.057465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>2.309726e+18</td>\n",
       "      <td>0.017250</td>\n",
       "      <td>-39.236218</td>\n",
       "      <td>214.175003</td>\n",
       "      <td>216.600006</td>\n",
       "      <td>-20.222000</td>\n",
       "      <td>-7.108000</td>\n",
       "      <td>-17.573000</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.017250</td>\n",
       "      <td>-39.236218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.320615e+18</td>\n",
       "      <td>0.779198</td>\n",
       "      <td>-30.452548</td>\n",
       "      <td>232.352753</td>\n",
       "      <td>236.279751</td>\n",
       "      <td>-18.955000</td>\n",
       "      <td>-6.803000</td>\n",
       "      <td>-11.049000</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>0.779198</td>\n",
       "      <td>-30.452548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2.320870e+18</td>\n",
       "      <td>1.416419</td>\n",
       "      <td>-29.969633</td>\n",
       "      <td>238.215004</td>\n",
       "      <td>237.415001</td>\n",
       "      <td>-18.551500</td>\n",
       "      <td>-6.461500</td>\n",
       "      <td>-10.140500</td>\n",
       "      <td>0.000060</td>\n",
       "      <td>1.416419</td>\n",
       "      <td>-29.969633</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2.327132e+18</td>\n",
       "      <td>7.262228</td>\n",
       "      <td>-29.426145</td>\n",
       "      <td>242.127506</td>\n",
       "      <td>238.470493</td>\n",
       "      <td>-18.111000</td>\n",
       "      <td>-6.311000</td>\n",
       "      <td>-9.358000</td>\n",
       "      <td>0.001011</td>\n",
       "      <td>7.262228</td>\n",
       "      <td>-29.426145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>5.007424e+18</td>\n",
       "      <td>359.973347</td>\n",
       "      <td>-21.783374</td>\n",
       "      <td>262.157990</td>\n",
       "      <td>254.020996</td>\n",
       "      <td>-15.422000</td>\n",
       "      <td>-5.458000</td>\n",
       "      <td>-1.679000</td>\n",
       "      <td>0.135446</td>\n",
       "      <td>359.973347</td>\n",
       "      <td>-21.783374</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            GaiaDR2     RA_ICRS     DE_ICRS   Dist_raw_    Dist_xd_  \\\n",
       "count  4.940000e+02  494.000000  494.000000  494.000000  494.000000   \n",
       "mean   2.475567e+18   69.713316  -30.080772  237.616638  237.162369   \n",
       "std    6.204200e+17  139.923432    2.057465    7.619063    3.048666   \n",
       "min    2.309726e+18    0.017250  -39.236218  214.175003  216.600006   \n",
       "25%    2.320615e+18    0.779198  -30.452548  232.352753  236.279751   \n",
       "50%    2.320870e+18    1.416419  -29.969633  238.215004  237.415001   \n",
       "75%    2.327132e+18    7.262228  -29.426145  242.127506  238.470493   \n",
       "max    5.007424e+18  359.973347  -21.783374  262.157990  254.020996   \n",
       "\n",
       "            UVel       VVel       WVel          fc    _RA.icrs    _DE.icrs  \n",
       "count  68.000000  68.000000  68.000000  494.000000  494.000000  494.000000  \n",
       "mean  -18.518544  -6.519764 -10.287191    0.004066   69.713316  -30.080772  \n",
       "std     0.832280   0.339649   2.601364    0.012176  139.923432    2.057465  \n",
       "min   -20.222000  -7.108000 -17.573000    0.000005    0.017250  -39.236218  \n",
       "25%   -18.955000  -6.803000 -11.049000    0.000020    0.779198  -30.452548  \n",
       "50%   -18.551500  -6.461500 -10.140500    0.000060    1.416419  -29.969633  \n",
       "75%   -18.111000  -6.311000  -9.358000    0.001011    7.262228  -29.426145  \n",
       "max   -15.422000  -5.458000  -1.679000    0.135446  359.973347  -21.783374  "
      ]
     },
     "execution_count": 304,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "meing.to_pandas().describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 264,
   "id": "4ba4b74c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f81b4abf510>]"
      ]
     },
     "execution_count": 264,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 288,
       "width": 432
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot data to get an idea of where to center our WCS\n",
    "plt.plot(meing['RA_ICRS'].data*u.deg,meing['DE_ICRS'].data*u.deg,'o',mec='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 323,
   "id": "85706746",
   "metadata": {},
   "outputs": [],
   "source": [
    "## helper functions for setting axis limits\n",
    "def set_xlim(xmin,xmax,w=None,ax=None):\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    if w is None:\n",
    "        w = ax.wcs\n",
    "    xmin = w.all_world2pix([xmin],[w.wcs.crval[1]],1)[0]\n",
    "    xmax = w.all_world2pix([xmax],[w.wcs.crval[1]],1)[0]\n",
    "    ax.set_xlim(xmin,xmax)\n",
    "    \n",
    "def set_ylim(ymin,ymax,w=None,ax=None):\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    if w is None:\n",
    "        w = ax.wcs\n",
    "    ymin = w.all_world2pix([w.wcs.crval[0]],[ymin],1)[1]\n",
    "    ymax = w.all_world2pix([w.wcs.crval[0]],[ymax],1)[1]\n",
    "    ax.set_ylim(ymin,ymax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 324,
   "id": "caf1b250",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QSHqO3W5HdXU1mpqa4sKUy+VS77NwBeWSEsBGRkYYwIiIiBaABTgqQ8kHMCFEG4D3Eg53SynbFvB0o4j1clmEEO4kwxA9s7f9C3jupDTzzi4CsAbASgDLADTNvp4Ts/9Ofr8fMzMz6Ovrg8vlQltbW1yoUoKVy+VirxUVHEvRExERLQ4DWGUo+QAmpTyBHJV7ny1VfwjAegBnAXgj4SFts7dv5eL1Zv0MwEdT/CwMYAqxYNhrNpvXtLS0eP/yL/8yhy9PlBsMYERERIujfIbW1NTo3BLKJ5ZXmUspW395kp9dkfCYXPgJYuXqvw/gPgCfBnAOAIOU0iKl9EopV0gpr6qqqnqP/0NSsTKZTKiurmYAIyIiWiDlM9Tj8ejbEMqrku8By4N/BvAXAP5QCPEvymLMQggnYuHoFIAf5+rFpJTbAWzP1fMR6ammpoYBjIiIaIFGR0fhdDpZTbjMsQcsgZTyJGKLLX8AwDeEEDVCiCUAngBQC+ALUsrklS+IKpzX68XY2BgikYjeTSEiIio5IyMjnP9VAco+gAkhviCEkEIICaB19vB7s8ceT3bObK/UxwBcCOB9AF2ILbR8pZSyswDNJipJXq8XUkqMjydbRo+IiIhSkVJibGyM878qQNkPQZRSPg7g8QWc958A/jPX7SEqZ8qHxujoKD9AiIiIsjAxMYFIJML5XxWg7HvAiKhwtGuBERERUeaUz05ewCx/DGBElDPaHjAiIiLKHEvQVw4GMCLKGZvNBpvNxgBGRESUJaUHjEU4yh8DGBHljBACXq+XQxCJiIiyNDo6CrPZDKfTqXdTKM8YwIgop5S1wGaX0CMiIqIMKAWshBB6N4XyjAGMiHLK6/UiHA5jampK76YQERGVBCkl1wCrIAxgRJRTyuRhDkMkIiLKzPT0NILBIAtwVAgGMCLKKVZCJCIiyg4LcFQWBjAiyimuBUZERJQdrgFWWRjAiCinqqurYTKZ2ANGRESUIQawysIARkQ5xVL0RERE2RkdHYXRaITL5dK7KVQADGBElHM1NTUMYERERBkaGRmBx+OBwcCv5pWA/8pElHM1NTUIBAKYnp7WuylERERFb2RkhMMPKwgDGBHlHEvRExERZSYQCMDv97MCYgVhACOinGMAIyIiyoxStIo9YJWDAYyIck75EBkeHta5JURERMWNFRArDwMYEeWcy+WCwWBgKXoiIqJ5KAGstrZW55ZQoTCAEVHOGQwGlqInIiLKwMjICIQQcLvdejeFCoQBjIjygqXoiYiI5qeUoDcajXo3hQqEAYyI8qKmpgZ+vx+BQEDvphARERUtlqCvPAxgRJQXrIRIRESUXigUwtTUFANYhWEAI6K8YAAjIiJKjxUQKxMDGBHlhVLNiQGMiIgoOQawysQARkR54Xa7YTAYGMCIiIhSUNbLZAn6ysIARkR5YTAY4PF4GMCIiIhSUErQezwevZtCBcQARkR5U1tbq17dIyIiongsQV+ZGMCIKG9Yip6IiCg1lqCvTAxgRJQ3rIRIRESUHEvQVy4GMCLKG2VSMYchEhERxWMFxMrFAEZEecMeMCIiouRYAbFyMYARUd643W4YjUYGMCIiogQMYJWLAYyI8sZgMMDr9XIIIhERUYKRkREYDAa43W69m0IFxgBGRHlVU1PDHjAiIqIELEFfuRjAiCivampqMD09Db/fr3dTiIiIisbw8DCHH1YoBjAiyivlw4W9YERERDGBQAB+v58VECsUAxgR5RVL0RMREcVTLkqyB6wyMYARUV6xFD0REVE85aIke8AqEwMYEeWVy+WCyWRiDxgREdEslqCvbAxgRJRXQgjU1tYygBEREc0aGRmB0WhkCfoKxQBGRHmnlKKXUurdFCIiIt0NDw+jpqYGQgi9m0I6YAAjoryrqalBKBTC1NSU3k0hIiLSlZSSJegrHAMYEeUdS9ETERHF+P1+BINBFuCoYAxgRJR3LEVPREQUwwIcxABGRHnHAEZERBTDAEYMYESUdw6HAzabjQGMiIgqHgMYMYARUd6xFD0REVHM8PAwrFYrnE6n3k0hnTCAEVFB1NbWYmRkBNFoVO+mEBER6UapgMgS9JWLAYyICqKmpgbRaBTj4+N6N4WIiEgX0WgUIyMjHH5Y4RjAiKgg6urqAABDQ0M6t4SIiEgfExMTiEQiLEFf4RjAiKggWAmRiIgqnXIRUrkoSZWJAYyICkK52scARkRElYoVEAlgACOiArFYLHC5XAxgRERUsZTPQA5BrGwMYERUMCxFT0RElWx4eBjV1dWwWq16N4V0xABGRAVTW1uLiYkJhEIhvZtCRERUcEoJeqpsDGBEVDDKh87IyIjOLSEiIiqscDiM8fFxBjBiACOiwlE+dFiKnoiIKo1y8ZEBjBjAiKhglLK7nAdGRESVhiXoScEARkQF43a7YTQaGcCIiKjisAQ9KRjAiKhgDAYDampqGMCIiKjiDA8Pw2g0wuPx6N0U0hkDGBEVVF1dHYaGhiCl1LspREREBTM0NISamhoYDPz6Xen4XwARFVRtbS1CoRCmpqb0bgoREVFBSClZgp5UDGBEVFDKhw+HIRIRUaXw+XwIBoMMYASAAYyICkyp/sRS9EREVClYAZG0GMCIqKC4FhgREVUa5TOPPWAEMIARUYHZ7XY4nU4OQSQiooqhfOaxB4wABjAi0kFtbS0DGBERVYyhoSE4HA7Y7Xa9m0JFgAGMiAqutrYWY2NjmJmZ0bspREREeTc8PMzeL1IxgBFRwdXV1akleYmIiMrZzMwMxsbGOP+LVAxgRFRwylVABjAiIip3IyMjkFKyB4xUDGBEVHAsRU9ERJWCJegpEQMYERWcx+OB0WhkACMiorLHAEaJGMCIqOAMBgNqamoYwIiIqOwNDw/DaDTC4/Ho3RQqEgxgRKSLuro6DA8PQ0qpd1OIiIjyZmhoCDU1NTAY+LWbYvhfAhHpoq6uDqFQCJOTk3o3hYiIKC+klBgaGuLwQ4rDAEZEulDK8XIYIhERlaupqSmEQiEGMIrDAEZEumAlRCIiKneDg4MAwDXAKA4DGBHpggGMiIjKHSsgUjIMYESkC6vViurqagYwIiIqWwxglAwDGBHppq6ujgGMiIjK1tDQEKqrq2G1WvVuChURk94NIKLKVVdXh/feew/BYJAfTkSLoCznkLisQ6r7kUgk7rgQIul+svtElDlWQKRkGMCISDfaeWBLlizRuTVUqqSUmJmZQSQSUW+TbTMzM4hGo0l/pj0ejUZT3o9Go5BSpj2m3ZTj2p9rjylb4v1Um/J+UwWuTN1///1ZnyOEULfE++k2g8EwZ197m24/3WY0GufsJ7tN3E+3mUymOfe5dhMtVDAYxOTkJM4991y9m0JFhgGMiHRTX18PgAGsHEgpEQ6HEQ6HMTMzM2c/2a2yJd5XwlKyTfszZb/Qi3krIUEbALRbYoBQ7iuPTxVKMt0AZHyb6NChQwCA9vb2pL+3ZMEuWeCbLyRqA2WysKkNokowThZcU22FpPxbm0wmNaAp+8nup9vMZvOcfe2tsin3Gf5KG+d/USoMYESkG1ZCLBxtQAqFQuqmva/sa29TbYk/TxzStlAGgyHll1eLxZL0i2+y3gul5yJZr0ayHpFkvSWJvSzaQFWqTp8+DQD42Mc+pnNLFkcbxrQ9mIm3ifuZbKl6U1NdHAgEAkkvFOSC8t+v2WyGxWKJC2mJm/bnyr7FYpmzrz1Wyv8tlwLls0252EikYAAjIt1UVVXBarUygCWhBKZgMIhgMIhQKKTua+8r4Um7n2pbqGRf8Kqrq5NesU+8rz2erhdA2fiFkDKhhOFiJaVUw5q2hzfZfqre4mQ9ysrfhKmpqbhjC+0FThbMLBYLrFZr0mPKce2t9jj//43HHjBKhQGMiHQjhCjLSojKVfFAIIBgMDjnVtkCgcCcYKXdspX4pam6ujrpVe9Ux5LdMhQRZU8IoV5UsNlseX0tJexpe6VT9W4nbonHp6enMTY2pt7PNtglhrJ0m81mm3Nrs9nK6m/O0NAQrFYrqqqq9G4KFRkGMCLSVV1dHd566y1EIhEYjUa9mwMgFqCmp6fVEBUIBObc14aqxGPZDD9K/FLicrnmXGmeb5/DiYgqlzbs5ZJS3Ebbw57sNlnPvLJNTU2p+5mGOYPBEBfIlC3ZMZvNBrvdHne/mP4WDg4Ooq6urmjaQ8WDAYyIdFVXV4doNIrR0dGcDtOIRqNqcEq2aUNV4u3MzExGr6H9QlBVVYW6urqUV3UTr/pyyA4RFTMhhDp82Ol0Luq5EodUa0cDpBopoFzUGh0dVY9lEuIMBoMaytLdJttyeREwEolgdHQU559/fs6ek8oHAxgR6UoJXcqVwkRSSgSDQUxPT8Pv96u3yr520x7LZAif8kGtfCh7PJ6UV1UTr7harVaGJyKiDAgh4oZGL4SUEqFQKO3IhGT3x8bGMr6wZrFYkgYzh8MRt6/cdzgcsNlsST8LRkZGEI1GOf+LkmIAI6KCUa6CKgHK5/NheHgYAPDKK6/g2LFjcQFLCVTzlZ02m83qh6PX60Vzc3PKK5zawFVMQ1WIiCg1IYQ6esDtdmd9vjK0PNlIiGQX80ZGRjA9PT1vASMhxJxw5nA44Pf7AQCTk5M4cuRI3M94AY8YwIhowZTeKZ/PpwYq7b42aCm3qeZHdXd3o7u7GzabTf2Q8nq9Ka86am9zPfeBiIjKi8lkQnV1ddY9cJFIZE44SzYaQ9kfHh7G9PS0Olzyt7/9LX7729/GPafBYIDD4YDT6Yy7TTymbKl62ah08VsLEcWJRCJqkPL5fJiamoLf78fU1FTc8fkCFRBbw0b5MKmvr0dra2vcVUBl+9nPfgaTyYQ/+qM/KurS0kREVFmMRiOqqqqyqmQYjUbx4x//GIcPH8att96qBjTls3N6elrdHx0dxalTpxAOh1M+nzawKZvD4UBVVVXcMafTiaqqKl6ULAH8FyKqAEqompqaUjflfuJtIBBI+TwGg0H9I19fX4+2tra4D4XE/UyLTDQ1NeHo0aO8wkdERCXPYDBgbGwMdXV1aG1tzeiccDiccjSJdn94eBjvv/9+2jltVqs1LpApt4n7DGv64W+dqERJKREIBDA5ORkXrJJt09PTKZ/HYrGof6jr6urmXEkrxDCIuro6HDp0COPj4/B4PDl/fiIiokKRUmJoaAirVq3K+Byz2QyPx5PRZ6BSkCRxtEqy+wMDA2mLUinrlCXbgsEgrFZrxu+BMscARlRkpJTw+/2YnJxUw5V2X7k/NTWVcvif0WhEdXU1nE4nli9fHvcHNfFKmMViKfA7nKu+vh5AbNFKBjAiIipl4+PjCIfDeauAqC1IUlNTM+/jZ2Zm5oyCSRwNMzExgZ6enrihkCMjI6iuroYQ4gsADgHoklL68vKmKgwDGFGBKAUrJiYm1EA1OTmJiYmJOSErVdU/m82G6upq1NTUoLW1FU6nE9XV1XEBq7q6uuQqLCkBbHBwEGeffbbOrSEiIlq4wcFBAGc+2/RmMpngdrszqh6pFNaanJzEP/zDP+D9998HgH9Tfi6EkABCAHwAxgAMAegFcBLAcQC/lFJ25f5dlBcGMKIciEQi6hUkbcBK3E81ZlsJVnV1dTjrrLPUIKXdynmsdm1tLYQQ6ocWERFRqVI+y0pxDTBtz5rNZlNC5HcBLAHQCKAGQDUA9+z+ioSneA7AxwvY5JJUnt/miHJoZmZGDVbaTQlVSg9WMkrZW5fLhZaWlrhA5XK51GBlNpsL/K6Ki8lkgsfjwdDQkN5NqQhdXV3o7OzExMQEXC4XOjo60N7erneziIjKwtDQEIQQqK2t1bspi+b1eiGlvCXZz0RsqM1KAOcBWA3gLAD/VcDmlSwGMKpokUgEk5OTGB8fx/j4+JyQNT4+ri6mmMhms8HlcqGpqUkNVEqoUva5dkfm6uvr8f7770NKyd9ZnnR2duK+++7Dnj175vxsw4YN2Lp1Kzo6OnRoGRFR+RgcHITX6y3bUSsKGVvs7NjsRlko7/8yqKIpxSyUcKUNWcp+qp4ru90Ol8uFpUuXqmEqcav0Xqtcq6+vx5EjR+Dz+bJab4Uy89hjj+HOO+9ENBqFsNjhWHUVjNU1iEyOwH/kJezZswebNm3C9u3bcdttt+ndXCKikqRUQMy0/DxVJgYwKlnK0MDx8XGMjY0lDVrJ5lxZLBa43W40NTWpYcrtdsfdMlwVnjJWfnBwkAEsxzo7O9Xw5br8JrgvvwkGq0P9efSaOzG+9ylM7H0Kd9xxB1pbW9kTRkS0AMp6mqU4/4sKhwGMilYoFFKD1djYWFzIGhsbS9p7JYRAdXU1PB4PlixZooYq7Waz2XR4NzQfbSXEs846S+fWlJf77rtPDV/ejZ+f83OD1aEen9j7FP74j/8Yn//85zk/jIgoS8VWAZGKU1kHMCGEA8AtAH4PwIUAPABGALwM4O+llC+lOfc6AH8F4CIAMwBeAvDXUsrXUjz+zwB8BUAdgOcBfFlKeSJHb6UsKQEr2ZZq7pVSrKGxsRGrVq2Cx+OB2+1Wb6urq2EwGHR4N7RY2gBGudPV1YU9e/ZAWOxwX35T2se6L78Jk6/9DMeOHcOWLVvU44WeH8YiIURUqhjAKBNlHcAA/AeADgDfAPBHAAYAXALgnwC8IIS4TUr5eOJJQojbADwG4JsAbgTgAPAwgJeFENdKKZ9PePztAP4OwO8CeGv2+X8hhFgvpZzOz1srfjMzMxgfH8fo6CjGxsbUW2VLFrAsFgs8Hg+WLl0aF66UfYfDwQINZUoZGspKiLnV2dkJAHCsuipu2GEyBqsDjtVXwXewE+bGlbDUn1XQ+WEsEkJEpa6US9BT4ZR7ALMB+LmU8suaY7uFEJ8CcBDAN4UQT0spJ5QfCiGWAPg2gN8CuGu2wsuIEOIWxBaY2ymEOEdKGdQ852YA35NS7p59ji8D6AFwNYBf5u3d6UxKicnJSYyOjs4JWaOjo5icnJxzjtlshtfrxdKlS+F2u+H1etWA5fF4WDWwwtXX16Onp0fvZpSViYnYnzdjdU1GjzdWxR4XnZ5E3fVfLtj8MBYJIaJyMDQ0BI/HA4vFondTqIiVewB7B8CuxINSyneEEMcQW7Pg8oTH/Aliwe3fZsOXco5PCPEkgC8B+H0A39OcIwBIzf2o5nhJU4YJjoyMzAlao6OjiEQicY83GAzweDyor69XhwhqQxZ7sCiduro6HDt2DH6/Hw5H+t4ayozL5QIARCZHMnp8ZCr2uMjEAEKD3bDUt8bND9u2bVvOAxiLhBBRuRgcHMSSJUv0bgYVubIOYFLK29P8WOmeSUwD18/e/ibJOb9BLIBdj/gA9n0A24QQP0CsZ+0hxHrLXsy2zYWmlGpXApY2aI2OjiYtdOF0OuH1enHeeeepAUvZOAeLFqOhoQFA7AOMJXxzQwkq/sMvInrNnWmHIUaDfviPvKzeD3S/CUt97N/BfflNmNz/LHbv3o2urq6czsnKtkhIPkIgEdFi+Xw++P1+Dj+keZV1AEtFCGFEbOXuaQCvJhw/b/buiSSnKsfOTzj+TcR6zXYCqAHwAoBrpZTJV/AtMGWo4MjIiLopYWtkZAShUCju8UovVlNTU1y4UjZ2q1O+aAtxMIDlRnt7O9ra2nDixAmM730qacBRjO99CjI0DWN1PSKTg4iGzvwJM1gdcKy6Er6Dnejs7MxZAMu6SEieQiAR0WKxAAdlqiIDGIDrAHgB/KOUUjsuxwvAgtji3uNJzhubvW3UHpwdqvh/ZzddSCkxPj4eF7K0YStxPSyLxQKv14uVK1fC6/WipqYGNTU18Hq9cLlc7MUiXWjXAqPc+djHPoZHHnkEE3ufAoC5Q/yCfnWIH4QB5tqliEwOwmCJ7y1T5ocp88pyIesiIXkIgUREuaB8dimjOYhSqbgAJoSwIBaUjgC4N+HH9tnbcIrTla4i3SanRCIRvPfeexgZGcHw8HBc0Eqcj2Wz2VBTU4Nzzz0XXq8XtbW1ashyOp2ci0VFx2azobq6mgEsx/70T/8UjzzyCIDYEL7J/c/CsepKGKtqEJkagf/Iy5ChaUAY4L3mTozt3gEAsLWui3seZX6YMq8sE/OVlP/1r38NIPsiIbkMgUREucAKiJSpigtgAL4FoB7AVUmGCCol480pzlXG3hV8aKEQwn3DDTe4T506hZ07d6rHbTYbamtrcd5556m9WMrGIgZUiurr6zEwMKB3M8pKe3s7NmzYgD179qjDC30HO+MeY122Fu4rb0ag+03I0DSsy9aq87+A+Plhmcy/yqSkPAA888wzALIvEpJNCCQiKoTBwUG4XC5YrVa9m0JFruQDmBCiDcB7CYe7pZRtSR7714hVMLxGSnk0ydONItbLZRFCuJMMQ/TM3vYvps2pCCHsAD4I4EoA6wCcA6AZgBuA0efzIRqN4pOf/KTam8WQReWmvr4e7777Lqanp2G32+c/gTKydetWbNq0CZHJQTgv2ASztwUyOgODxQFb6zqYXPVxwxDdV94cd74yP2zjxo3zDv3LtKT82WefDaXYrP/IS1kVCWERDiIqNoODg2hqatK7GVQCSj6ASSlPIINy70KIewHchVj42p/iuSJCiEMA1gM4C8AbCQ9pm719a2GtTdquewD8BWLhLlnPWwSxio19JpOpubGx0b1u3bokDyMqD9pCHMuXL9e5NeWjo6MDjz76KO688074DuyaDUaxYYgTv30a/sMvQYYDgBCove6LsLetBxA/P8xgMGDLli1pXyebkvJHjhwBTBZYG1ciePrtjIuEZBICiYgKye/3w+fzsQAHZaTkA1gmhBD/G8BfAviINnwJIa4DMCGlfFnz8J8jFsAux9wAdoXmMbnSBKAWwBRiVRbfRayU/W8A7JFSqpNhPv3pT79WU1NzUQ5fm6joaEvRM4Dl1ubNm9HW1oZt27Zh9+7dc4YhAgCMZgROdiE82hs3P8xgMGD79u3z9jxlW1LeYHHAffVnMfCjrRkVCRFCzBsCiYgKjRUQKRtlH8CEEH8F4G7Eer5eS/jxzYiFHm0A+2fEeqT+UAjxL8pizEIIJ4BPAzgF4Mc5bOJXpJRfzuHzEZU0bQ8Y5V5HRwc6OjrmFMdwOp144oknkgazjRs3YsuWLfOGr6xLyr/2M0T9YzA6vai59osY+cW30hcJAXDDDTdw+CERFR1WQKRslHUAE0L8LwD/H4ADAO5OUvXvMiSs9yWlPCmE+BKARwF8QwjxN4hVR/wmYj1VH5VSBnLVRiXgEVEMKyEWRnt7+5xhfJs3b05btXC+ioZZl5RffRV8BzsR6H4Trks+AZO7AeMv/xDBkwfnhECDw4Oofwwf/vCHc/H2iYhySikexR4wykRZBzAAfzJ7e8HslhEp5XYhxCkA/xvA+wBmEOslu1JKuS/nrSSiOKyEqJ9kwSyTioYdHR1qafhsS8pH/LF6R/a29bC3rUdosBuB7jcRDflhsDhgbVmN/ie/BoDFN4ioOLECImWjrANYskqIWZz7nwD+M3etIaJMsRJi8ci0ouH27dvV0vDZlpQP9hyOO26pb40rgT+6eweLbxBRURscHERzc7PezaASYdC7AUREibSFOEg/iRUNl/7pDtRd/2V4N9yKuuu/jKV/ugOuy29CNBrFHXfcAafTCWC2pHww/XKJ2pLywe43MLp7x5xzokE/RnfvyLgCIxGRHlgBkbJV1j1gRFSalA+xgYEBVkLUUbYVDZ944gl1wedMS8qvWrUKx44dS1t8I9MKjMVsvvlzRFS6OP+LssUARkRFh5UQ9Zd1RcP9z2L37t34zne+gxdffDGjkvIGgwGPPPIIAKQsja9UYGxqasLDDz9ccgEm0/lzRFS6WIKessUARkRFx2azweVyMYDpKOuKhquuhO9gJ3w+n7rgcza9WslK43d0dKCvr69kA0w28+duu+02vZtLRAvEHjDKFgMYERWl+vp69PX16d2MirXQioYTExP40pe+lHbB51TriiVWYCzlAJM4f25OT+A1d6o9gXfccQdaW1uLNkgSUXqDg4Nwu92sgEgZYwAjoqJUX1+P48ePw+/3w+FI3wNDubfQiobKeakWfM506GCpB5hs589t27atqNpPRJmRUmJwcBBLlizRuylUQhjAiKgoKZUQBwYG0NbWpm9jKpASBvxHXkL0mjvTDkPUVjScr1crU6UcYBY6f66rq6sk5rUR0Rk+nw9+v5/DDykrLENPREWJpej11d7ejg0bNkCGpjE+W1AjFaWiYa7W6co2wAiLXQ0wxWAh8+e05xFR6VA+o5TPLKJMMIARUVHSlqInfWzduhUGgwETe58q6DpdpR5gFjN/johKCwtw0EJwCCIRFSWLxQKPx8MeMB11dHQsqKLhYpV6gFns/DkiKh0MYLQQDGBEVLQaGhpw8uRJSCkhhNC7ORVp8+bNC6pouBh6BJhcLpScq/lzRFT8BgcH4fV6YTab9W4KlRAGMCIqWvX19Thy5Ah8Ph+qqqr0bk7FWmxFw4W8HlCYAJOPhZKV+XN79uzB+N6nkhYRUeR6/hwRFY6UkoWiaEEYwIioaGkrITKA6U9b0VAJYz/5yU9yHsYKFWDyuc7Y1q1bsWnTJkzMFjCZU0Y/6FfL6Ody/hwRFc7k5CSCwSALcFDWGMCIqGhpC3GsWLFC59YQkJ8eo2TyHWDyvc5YR0cHbrnlFuzYEStSMvnaz+BYfdWZ+XOHX4IMBwAAt956K4cfEpUgzv+ihWIAI6KiVV9fDyEEKyEWiXz2GCXKRQGQdEMm873OWGdnJ5544gkAgLG6HpHJwTnz55TjO3fuxOc+9zmGMKISo3w2sQeMssUARkRFy2QyoaamhgGsCOS7xyiZhRYAma+X7tZbb837QsmJAS802I1A95uIhvwwWBywta6Dpb5VLeNfTAtJE1FmBgYGYDAYUFdXp3dTqMQwgBFRUWtoaMDx48dZCVFn+e4xSiXbAiCZ9NK98MILALJbZ8x3sBOdnZ0ZBbBkC0lb6lthqW+d89iFBjwi0t/AwABqa2thNBr1bgqVGAYwIipqDQ0NePvttzE+Pg6Px6N3cypSskCRSr4ChbYASCrZ9NIB+Vtn7Lvf/S6A/AU8ItJfNBrF4OAgVq9erXdTqAQZ9G4AEVE6ytj6/v5+nVtSuTo7Y0P/sgkU2vMKJbGXLrGtSi+dtXU9gNyvM9bZ2YmNGzfiwQcfBFC6C0kT0fzGxsYwMzPDAhy0IAxgRFTUtKXoSR9KMCjmQJFNL513wy0AAP/hFxEN+tM+NtN1xh577DFs2rQpNu/MGFuQtZALSRNRYSmfSY2NjTq3hEoRAxgRFbWamhoYjUYMDg7q3ZSKpQSDYg4U2fTSWVtWw+DwQIYDGJ8djphKJuuMJQ59bPqDWA+Y/8hLOQt4RFRclFEZrIBIC8EARkRFzWAwoL6+nj1gOlKCQTEHimx76WytF8TO2/sURnfvmPO+okG/WqFwvnXGEoc+WltWw7psLWRoOicBj4iKz+DgIEwmE7xer95NoRLEIhxEVPQaGhpw8OBBRCIRVpvSQXt7OzZs2IA9e/ZgfO9TSasgKvQKFNn20onZYYKAWPA6Y0DqoY/uK2/GwI+25m0h6UqSaQVMokIaGBhAQ0MDq/PSgjCAEVHRa2hoQDQaxcjICCc862Tr1q3YtGlT0QaKuF66a+5MOwxR20tXc90X4ev6NYInD2a8zphWqqGP9rb1qLn2ixj5xbcWFfAq2XzruW3dupW/N9LFzMwMhoaGsG7dOr2bQiWKAYyIip62EiIDmD46Ojrw6KOP4s477yzKQLGQXjrrsrWoXnctqtddqy6U7D/8EoKnuvDFL34R3/zmN+d93XRDH6vXbYLJ3YDxl3+44IBXqTJZz23Tpk3Yvn07brvtNr2bSxVmaGgIUkrO/6IFYwAjoqLHSojFYfPmzWhra8O2bduwe/fuogsU2fTSQRjgvvJm9WfKQsmh/uMInurCOeeck9Frzjf00d62Hva29WrAm3rrVwgPvIt77rkHf/d3f7fQt1rWslnP7Y477kBraytDLBWU8lnEAEYLxQBGREXP5XLBarUygBWBjo4OdHR0FOW8nI6ODnzlK1/B//t//y/WS/fas3Cs1vTSHX4ZMjwNCANqr/si7G3r485fSAGRTIc+WupbYXLVY+yFJwAAn/vc5xb4LstfYlGTRMp6bkCsiMq2bdsYwKigGMBosRjAiKjoCSHQ0NDAAFZE2tvbdQ9cybz66qsAAGN1PSKTg3N66azL1sJ95c1zwhewsAIipVCgpJRks56b+/KbMLn/WezevRtdXV38nVLBDAwMwG63o6qqSu+mUIliACOiktDQ0ICTJ08iFArBYrHo3RwqgGx72bRf3ls2fxszE4MIdL+JUP9x+A7+NwAJ65I1sDavijtvsQVEir1ASSnJZj03g9UBx6or4TvYic7OTgYwKpiBgQE0NjayAiItGAMYEZWExsZGALEPvqVLl+rcGsqlxKDldDqxc+fOrKvfJX55V+Z1AYB1aXveKhLOW6Dk8EuQ4UCsHVYr9u/fzyFzKWS7npuxqibuPKJ8CwQCGB8fx6pVq+Z/MFEKDGBEVBK0hTgYwMpDujLjALKufqdnRUKlQMlnP/tZ9Pf3z3l+g8ODaNCH6elpfPWrX8WhQ4fwb//2bwt6rXKW7XpukamRuPOI8k0ZCq9cFCRaCAYwIioJ2lL0VPqSlRmX0TD8h3YDwIKq3+ldkXD//v3qf5/W1vWwtqyG0eGGrXUdLPWtcUMRH3/8cZx33nm4++67F/265WSh67mxR5EKhQU4KBcMejeAiCgTdrsdLpeLhTjKQGKZ8aV/ugN1138ZkclhAFCr3yV++Vaq37kuvwnRaBTbtm2L+3ncl/egP+XrW+pbUXX+NZgZ6wWQu4qEDzzwgNr+ppvvh3fDLXBd8gl1GKS2/drH0xlKURMZmsb47Jy6VFjUhPSgXGRhAKPFYAAjopLBSojlIbHMuMHqQGiwG8GTBzOuficsdrX6nULPL+/PPPMMxsfHIcy2zNpvtmF8fBzPPPPMol87V7q6uvDwww/j/vvvx8MPPxz3uy2krVu3wmAwYGLvUxjdvWNOmI4G/RjdvYNFTUgXAwMD8Hg8sFqtejeFShiHIBJRyWhoaMCxY8cwNTXF8r8lKlWZ8UD3mwAWX/1Or4qEO3fujLV/9dWZtX/1VfAd7MTOnTtxww035KQNC5VuLl66oif5Mm9Rk0UWTSFaKCkl+vv70dbWpndTqMQxgBFRyVAmPff39zOAlahUZcajoVgvx2Kr3+n15X18fHxB7VfO00uyuXiZFj3JJ6WoybZt27B79+6cF00hWoiJiQkEg0EOP6RFYwAjopKhDWArV67UuTW0EKkqFRossTCWi+p3enx5d7vdsXZl2X7lvHxTSv13dnbCbrfjqquuQl9fX9xcvGyLnuRbR0cHOjo6sl4PjihfOP+LcoUBjIhKRl1dHQwGA+eBlbBUlQptresA5K76XaG/vN966614+umn4T/8YmbtP/ySel4+pRpe+OSTT8LtdsfNxUukFA0BgIm9T2Hbtm269Di1t7czcFFRYAl6yhUGMCIqGUajEXV1dSxFX8JSlRm31LfCumwtgicPYnzvU0kDgSKbAhqF+vJ+ww03wO12Y3x8PLP2hwNwu90p53/lIjjON7zwzLDJ2rTP4778Jkzuf1YtesIwRJWqv78fRqMRtbXp/58hmg8DGBGVlMbGRhw6dAjRaBQGAwu5lhqlUuGePXvmBBX3lTdj4Edb81pAI589Yvfeey+++tWvZtR+AKipqUFnZ2dcr1KuCmIklvpPN7xw9FePwlyzFPa29UmfK13RE6JKMjAwgPr6en720KIxgBFRSWloaMBbb72F4eFh1NfX690cWoBUlQrtbetRc+0XMfKLb8YKaLz2MzhWX5WTAhr5rPSnhLpDhw6hqqoKU1NTydt/+CXIcCB2kjDivffeiytwsZiCGInB8oknnshqeOH4yz9MGcCA1EVPiCpFJBLB0NAQzj//fL2bQmWAAYyISooy+Vm5EkmlZ75KhTCagZkQZDiQkwIa+ar0ly7UAUjafmF1wH3FZ1C9/qNxBS6Gh4dxzz33ZF0QI10bMl2TbHL/swiePIjQYLe6aHSidEVPiCrB0NAQotEo539RTjCAEVFJ0VZC5FCo0tTZGVv/KhqNAgBkaDpp0Lrlllvg8/kWNVwwm6F42VT6SxvqDr8EGZ4GABi9S2By1cFgdcLZ/mE4V12hPoe2B+qBBx7IuiDGiRMnkrYhcOINhHqPZL4m2ezwwkD3m0kDWCZFT4jKHSsgUi4xgBFRSXG5XLDZbCzEUaKSBRcYjQgPvIfQwLtAZAZCCNx66605WXfqvvvuy3mlv/lCXfDCj6Lvib+EMNvQ8vmH0oYgpQdqfHwcMFkz7rHavXs39uzZAynlnDaMmSwI9R7Jek0yZS22RNkUPSEqV8pnDnvAKBcYwIiopAgh0NjYyABWgubtjdIUqcjFulNdXV3Ys2cPhMWeVbCZr9LffKEu2HMYALLugbLUt2b1eCV8JbZhoWuqCUP8V4JcFD0hKhf9/f1wOp2oqqrSuylUBhjAiKjkNDQ0oLu7G4FAADabTe/mUIby0RuVTmdnbFijY9VVWQWbdJX+Mgl1Sk9Stj1QwmTJ6PEwGGOPTzHHK+s11WbXJBt76QcID59cVNETLppM5aq/v5+9X5QzDGBEVHK088BaW5MXDaDikq/eqHSUin3ZBqF0lf4yCXUL7YGSM6GMHh8ePBFrQ4oetqzXVJtdk2x8fDzroidK4Hr99dfxwgsv4Pjx43Mes3LlSnzwgx/EhRdeyEBGJcnv92Nqagpr167VuylUJhjAiKjkNDU1AWAAKyX56I2aj1KxL9sglKrSX1dXF37xi18ASB/qsu6Bmi1wERrsRjTon/fxof53521Dtmuq/fu//zuampoy7r1KVX1RmG1wrL5aU5DkRRw/fhzHjx/H448/DmDxZf+JCo3zvyjXGMCIqOQo5ec5D6x05KM3aj7KF/xsg1BiMEgWNtKFuqx7oELTag9UJo9HdGbeNpxZU+1b865JZrfb8atf/QpOpxMulws33nij+r5/8pOfzAlj2kIqMFmA2Z67+apMAgBMlgWX/SfSS19fHwAGMModBjAiKjkWiwU1NTUYGBjQuymUoVz3RmWivb0dGzZswJ49ezIOQomV/hKrNtqWr8P0sb3wH34xbaiL9UBtyagHSgiBe++9F/fcc09Gj1fMFyyr122C0eHG4E/uT7ommdHdiMjUCHw+Hx588MGUvxvFhg0b8PGPfzxuvbLgyYMInn4743l91sazYV3WnrNCK0SFMDAwACEE156knGEAI6KS1NjYiGPHjkFKCSGE3s2heeSqNypbW7duxaZNmzIeiqet9JeqamPf9++Zt3fL3rYetrMuRuDdfbM9UM/CsfrKOQUuAODmm2/G3XffjZqampSLU2sfDwAGhwdR/9i8wTLY8w4gJYzVdXB94FOI+Mcx8dungUgYDb+3FRO/fXpOMAOSDCWcXbBa6QV0XX4TnOd9KBYgs5jXFzx9CDXX/hmA3BRaISqE/v5+1NXVwWTi12bKDf6XREQlqbGxEW+//TZGR0dRU5PZsDbSTy56oxaio6MDjz766LzBJlmlv1RVGzOdXxV4d9/sEQEZnrvYNIQBkFHce++9AIDNmzejra0N27Ztw+7du5MGozOv4QOEyLjHzH3V/0D1umsxunsHEAnDumwtLPWt6lBPrVRDCUf++zvwHdilVl+ceutXALKf1xfofjNnhVaI8i0ajWJgYABr1qzRuylURnIWwIQQHwKgjBU5LqXsSvKYKgBfAPColDKzck9EREloKyEygJWGxfRGLcZ8wSZZpb90VRvnzq9K6N3SzK+KkTA3nQ1r82oYq7wwWBwIDZ6A78CuOSGzo6MDJ06cUBdZhtEES8MKmBvOAiIR+I+8FOsJi4RhW3EJAu/tn7fHzORdAue5H8To7h2x370wwH3lzQDODPVUpBtKaKlvgw9nqi8utNx+NOTPWaEVonwbHh5GJBLh/C/KqZwEMCFEHYBdAIyzh/4awJwABsAK4GEAXxFCdEgpT+Ti9Ymo8igfhn19fbwyWSIW0xuVi9fu6OjIeJ2q+ao2Vq/bBJO7AeMv/xDBkweT9laZ61rhbP8w7CsvhaU+Vq1TCZm+A7uShkxl2KOyyHKynqjhX3wL/rf3IPDuPjjWbEBkYgjB04dS9piZ3A049cjnY4FMGFB73Rdhb1sfN9QTAGA0pR1KmBi4FlpuXzkvWaEVriNGxYYVECkfctUD9snZ5/oZgL+QUs5dCASAlHJYCPEHAO4D8GshxHop5XiO2kBEFcTj8cBqtbIQR4lZSG9ULrW3t2f0hT6Tqo32tvWwt61HaLAbI53bEex+Qx1WCADhoW6M/+bJtIsbNzU14eGHH1YDxxNPPDHvYtX1n/gq+oN+BN7dB//bsV46+9mXIRoOIjo9gfDQ+2qlRAAInHgdAGBdthbuK2+GvW09gDNDPZX5ZJaGFWmHEiYGroWW21fOUwLZoUOHUpa1B1i2nvSlVEBUlj8hyoVcBbAOAJ1Syhvme6CU8odCiF8BeAHAnwO4P0dtIKIKIoRAY2Oj+uFIpSPb3ig9ZFO10VLfClN1LYIAPBtuRTToU4dZytDcuV8bN27E9ddfjx07dmDz5s1znk+ZY5VO/Se+ipPf/CwQCUOGpjF97JWkj7MubYd95aVJe+FiwxFFbD4ZEBvmmIYauA7HAtdCyu0rc8+iQT/8h2OB7Ac/+AF++MMfxgrqWOxwrLpqTvEPlq0nvfT398Nut6OqqkrvplAZyVUAuxDAn2X6YCnlkBDibwDcDQYwIlqghoYGvP/++wgGg7BarXo3h7KUaW+UHhZatVEbdCb2PoVLLrkEt9xyS1zI3Lt3b1xpeyVwBE68gVDvEXWOVToGqwPONRti4U4YYWlaCWE0IxqYQnioW31c8FQXQgPvJu2FgzDAdtZFZ4qFRCJpXzNZ4MpmwWft3LPxvU9BhqdhrK5HZHIw7ZBL5XyWrSc99Pf3o6mpidV2KadyFcCWADiY5Tm7AWzP0esTUQVShoT09/dj+fLlOreGyslCqjYqvTvAmbLr+/btw+OPP64GzVSl7QFgzGRBqPdI1kUtICMI9R5J+bhkvXDWJefB6KqD/+0zQ/4yCZuuS2/E4MmDcYErfUGSlyHDZ+aeWZtXxRUDqfnIH2PoZ1+HDAfgPO9Dc147cR0xlq2nQvL7/ZicnCzaC0VUunIVwIwAMpuFe8YIAHOOXp+IKpC2EiIDGCVa7BDHbKo2ant3AKSs8peqtD2w8KIWAGBpXgX72R+AweKAMFsx8otvz85FEwAkYDTDXLsMBrsLBrMVge4DkKcPAQCqL70Rob6jGQ0lDPa8o+7HAtfP4Fh9FRznXo1A9wFE/WNzwp7B4YGt9QIETnZh5FePxipEzgYyxzmXwbH6KrU8vRJgE7FsPemBBTgoX3IVwHoBrABwOItzzgLQn6PXJ6IK1NDQAACcB0ZxclXQIdOqjdrKglqJVf6eeeaZlKXtgQUUtTh8poJheOgkGj9zv+YcgZFffCsWwoQBiIQRHnh3zvO4Lr0R3t/ZDP/RVzB4sivDsCkAYQSiM5DhwJzAZfQ0w+xpQnisD5GxXkT9Y3E9bYnFQLTl6VNh2XrSAwtwUL7kKoDtQWx9r7/K4pw/BPB8jl6fiCqQxWJBbW2tepWS6LHHHks6v2qhBR3mq9qYGCa0lB6qvr4+bNy4UQ2EqUrbZ13UIhxb50upYqg9J7FMfjKmmqWA0YSh5x6C//BLACSA+J6tdPPGrMvWwmB1qgVArK3r4d1wC6wtq9XXCPYcxuieJ2IVIgHYz74MDb8XX3o/sTx9KomBtpiLuFB56O/vh8FgQF1dnd5NoTKTqwD2KIDnhRBvSCmfnO/BQoj/AeDLAD6Yo9cnogrV2NiIo0ePIhqNwmAw6N0c0lG6+VXAwgs6KFUbn3nmGXzyk58EjCZ4rv5cXMGNRNrCHI888oi6qDIiM2nneGVV1GKWrW0d/G+/MOccpUx+YggyeZoxM9aLmZFTcc+jlaxnK27emDDAdemNGPrZ19WfB7vfQP8PD6ddlFrp5Yv7PR1+KenPEqUKtFosWU+51N/fj7q6OphMufq6TBSTk/+ipJS/EUL8G4DvCyG+AOC7AF4FcArANAA7gKUAPgDgFgDXAPimlPLVXLw+EVWuxsZGHDp0CCMjI7xKWeHSza8CFl/Q4YYbblALc0SDvpThCzhTmAOAWuHPYHVibPfjaed42dvWJxS1SOiJUgKNEHCc+8HYOmAGc/w5qYZKKr8HezUw1gsIA8z1bRAmM6KhAGZGTsetHwaDGeY6zbyx92fnjc0OuQz2vBMXrgBAhucW/NBKDFmxnrwArEvOS/v7TBZoWbKe8ikSiWBgYABr167VuylUhnIZ6f8MgAWxoYib0jxOAPgnAH+Rw9cmogqlrYTIAFa5urq60s6v0lpMQYesCnPMUgJhaLAbY7sfV9fRSjXHq3rdJhgdbgz+5IHkPVGzwx6NTi/8b++B//CLqLnmzrghh8l6r4L9x4CZEEKDs2XqZXTuvDBhgLP9w7Hzo3PnjVmXrYXr0hsR7HknZe9ZKtoqkYm/J6Mr/f+7yQItS9ZTPg0NDSEajbIAB+VFzgKYlDIC4DYhxL8D+J8ArkR8lcMwYosv/x8p5S9z9bpEVNmUANbX18f5HxWsszMWOFLNr9JaTEGHTAtzCCFivTSaRZWzmeMV7HkHkFGYG1YgPPT+bM+UQNMtfx83xyrx+ext6xEa7Eag+01EQ34YLA7YWtfBd+h5BE8fUtfdMjg8iE5PAjICc8MKVJ1/Daa6/hvhvmMwVtWg5rovYeS/volYBUUTLA0rYK5vA6IRDP3s79X5Z9kQRjNGd+9IOjTR//YejLobswq0iViynnJJKcDBAEb5kPNBrVLK5wA8J4RwIFYZ0QVgHMB7UsrUJY6IiBaguroadrudhTgqnFKYIds1tJTzsjFfYY6NGzfiyJEj6O3tnbOocrYLF5trl6q9UOaGs+LCV6rns9S3puhpEohMDsaO+8fU55gZ7UHV+dfAXLdcfS7X5Teh/lNfw8SrP0Hw5EGEeo+kXWtsDiEAKeMOBU68jsCJ19X7Shi0n3M5po/9NnmgVdYRU08y57WHk0ihfKawAiLlQ95mFc6GrWwXZyYiyooQAo2NjSxFX+FcLheA7NfQUs7LllKYI1klPgDqvJHEQHhmjtc356k2KGA766K48u0Gx9y2zvt8cQEmFohM3hYIoxnh4VOAjECGA2oPmnYuWWyO1ZUweVsQHjyBUP+78XPE0tGEL3N9G6rWXQv/0VdmC4EI1Fz3RQRPHYLvYCdsyy9A9UUfTz18ctlaGKtq4H97T2wtszz2cBIp+vr6UFVVBafTqXdTqAyxrAsRlbympiacOHECfr8fDkf6L2dUnpTgk/EaWrMFHRY7RK29vX3OF/yHH35Y3U8WCJUS8SO7/gkzo6eTLlwcDfkReHdfrCfJYAQiMzCYbEnboDzf8H8+jMjEQNoiGECsxyuRtgct3VwyLWvresyM9iDiGwUi4YSfCpjqlsd67KIRjO3ZGbdmmmP11Rj97+8AiBXmsNS3qsMnRzq3I9j9BoyeZjR86muw1Ldi6LmHZn83mQXmxfRwEkkp0d/fj5aWFr2bQmUqJzWbhRDvarbknxBnHrtNCBGZ3TK8lEZElJp2HhhVpvb2dmzYsAEyNI3xeYpDKAUdNm7cmJfeEe2Xfv+RlxANzh19b29bjyV3/gtqrvtzGN3xc0yi/jFgJgTrsrVwnPtBIBL7qAx0v5H0uZTnW/on/wqTe+HDpSb2PoVT374Vvq5fw7pkDexnXwYYUl+nDXa/gej0BJxrNsB5wSZYmldpfioxM9QN34Fd8B3shAxNw7psLRo+fR+qLtik/hskFubwHXo+1ksmDKi99s9gqW+NW3Q6VQhNtNgeTqpsk5OT8Pv9nP9FeZOrHrA2xBZWBoDQPI99DMCvAFQDeCZHr09EFUz5kOzv78eKFSt0bg3pJZsKhQaDAVu2bEn1VIuifOlPtkByoup112JmrC/WJrsL1Zd8AgaLA9aW1fAf3Ts7Fyw2n0o7VDAVS8sqzIwrFyIElGGHmUpWdXGhj7e2roe1ZTWMDrfayxUN+jG6e4f6bxRXmEOz2HPtdV9UF7fWLjodeP9NRIP+gvVwUmXi/C/Kt1wFMCml3KHcEUJEkfBXX0ppnL09AeCEEMKdo9cmogpXX18Pg8HAHrAKl2mFQoPBgO3bt+fty7nyvNGQHxAi45L1Jm8LZDiI0Ggvxl54Ii6MTOz7D4QHT8z7XNo5Y0oFQ4OtGnImDMgoZCgAIJrbN2yyADNzr70Gu99AqOcdOFZfhYhvFBNJqh8mFuZQSuzb29YnrYCo9HCmC6H57uGk8qd8ljCAUb7kaw7YhxG79Pbfs/tERHljNBrR0NDAAEbzVii84oorcNddd+Hyyy/H8ePHEYlEMDMzE3ebbFN+Fo1G1WPJ9qPRKKLRKM455xwcPXoUthWXIPDe/owWSA71vINQzzvqfW0YMboaMPDkFgAy/QLNs8yNZyPcfwyIzCDqG83L71qY7ZCRcNLwpUjWQ2ZweFD3u/8TRqcX4y8/Cf87LwCQgMkKk7sRge434ev6teY9CdhWXBybEwdk3MP52c9+FocOHYLRaITJZFJvEzftcSFEzn9PVHr6+vpgNptRU5NZVVWibOUlgEkpdwOAEEIq+0RE+dTU1IQDBw5gZmYGJhPrCxUrKSXC4TBCoVDcbeJ+qm1mZmbe25mZGXz4wx9Ge3s73n33XQSDQVitVqxYsQINDQ1455138M4778zf2BSEEDAajTAYDDAajXH7yu3111+Pb3zjGwi8uw+ONRsQmRhC8PShtMP7hNUJGfTB2roeNR13qHOjgNlqh9f9ubo2V7qhf65Lb4T3dzbj9L/cgZmx3tknN8Dg9AIymrNAlnQtMG1vmMGIps/+X4zueWK2+qFyXgDW5lUwWB2ov+GrmF63KW3Rj5rrvgjnuR/EqW/fGgtks72Kc0vWxwKbEAIf//jH0dPTg6eeym6xaKPRCLPZrAayxH3lvvZWu1ksljnHtMeVW4MhJ1PwKU/6+vrQ0NDAfyfKG35LIaKy0NjYiGg0isHBQTQ3N+vdnLIRiUQQDAbVLRQKpbxNt2kD1mIkfgk2m82wWq1wOp1xX5bTbdoej8TeESVQJbuvBKxMv5StXbsWd955J/xv74Gw2GE/+zJEw0FEpycQHj4JRMIwGAz4yle+goceegjRoA+AQLD7DfgOPQ9TQg+P89yrEeh+I2GYoeZ303Q2vBu/oM6dsjSfcyaAySiiU8OL+dXPz2CK6w0z1y5H/5Nfm+3lOzMfLXEum71t/ZwFpAPvH0Sw+w1Yl61F9bprAQCO1VfBd7ATVes/hvBQd8rAtmbNGnzrW9+a06uphHNlU45pg3uyY+FwGNPT05iYmIgL+1JmN79Oy2QywWKxxAWzZJvVap1zXzmm3WfvXe6EQiGMjIzg4osv1rspVMYYwIioLGgrITKAnelpCgQCcVswGFRvlf1QKBR3TLtFIpGsXtdgMMz54qiEo8Qvm4k9Bql6D5TNaDSW1JfMxOGQ08deifv5xo0bsWXLFnR0dGDNmjW48847EY3G5mfFhhk+C8fquT082kWOrUvbYV95KewrL52z+PKcoGYwwVy3HAa7CzIcQKjnMLIt0pFWwhph4cH3YjvCAMgoIAxwXXIDJvY9k3QYoaW+FSZXPcb3PqVWQnRfebP6fEppeWOVF7Wb/iQusCmFS/qf/BoOHTqEiYmJvM7/klIiGo0m7aXt6urCCy+8gPHxcdjtdlx44YVYtmyZehFCe0FCu+/z+dRjMzPZFYk2GAxqIEu22Wy2uH3lfuJtKf3/lS8swEGFwABGRGVBqYRYTvPAotEoAoEApqen1VtlX3s81ZbpFXqj0Rj35cztdie90q69nxiylH2j0Zjn30ppSbdgszYgJIY1IDbEL9mixO4rb8bM+ABGfvEtBE91IdR/HOHhkykWX1YIIDqD8MC7+X7Lc8lobGHp1nWA0QRL82qEet6eZyHq+EqIwJnS8gbLmcCmHaYJoGALMCvDUI1GI2y2WGn8zs5O3HfffdizZ24P5YYNG7B161Zce+21GT1/NBpN2ruc2BOd6r7P58PIyAgCgUBWYU4JZ+k2u90Ou92u7iu35fL/PgtwUCHkKoAJIUTSy6SpjhMR5ZLdbofb7S7KAKYEKb/fr4Yo7X6qLRgMZvT82i9HbrcbjY2NcVe2013xttlsZfPFqZglW7A5UWJYO3r0KPbs2YMDBw7A0rwKtR+9Ky5wZLpgcow2jGdfnn7RpJxT8RBIXqRDW3xEoS0tb2tdl/Jl9FqA+bHHHlN7MIXFDseqq2CsrkFkcgT+Iy9hz5492LRpE7Zv347bbrtt3uczGAzq/7eLpR1GnNj7nax3XNnGx8fR39+f8cUci8WihjGHwxEXzrTHlH3lfrHNs1I+QxoaGnRuCZWzXPaALaTfusCfAERUzpqbm/Hee+9BSpm3oTRSSvUKs9/vT7tpg9Z8LBaL+uXE6/WipaVlzhXmZFedOWyo/GjDWldXF9auXYvw8EmYXPVxj0ucOxUeeh9TB3bFepzS0nz0GkyAwQjMZBb2c8lYXQ+D041w3zFYl7bDsfoqdb2wRMkWbk5GjwWYOzs71fDluvymudUZr7lTrc54xx13oLW1taDrkxmNRjXwLISUUh2mrO2NT+yV1148Gh0dRU9PT0YXkaxWq9o+JZRp72s3p9MJu92e1795fX19qK2thcViydtrEOVyHbCsLqEKITwA8jwjmIgqSWNjI9555x2Mjo5mXD5YG6gSN7/fP+fW7/er83SSEUKoXyCcTifq6+vjrv4mXgVW9tkLRcm0t7djw4YN2LNnT8r1r5SheKO7d8TCl9ESm3cVCcWFMWF1xob3aQNadGbO3K1CiUwOwrp0DcL9xxE81QXr0vPmhMy4tcCEiJsTlkivBZjvu+8+NXwl+/cxWB3q8Ym9T2Hbtm0ltUC0EEIdgux2Z7eEazQandOzn3hxStn3+/3o7e3N+G+s0+mMC2bKlng/m8AWjUYxMDCA1atXZ/U+ibKVqwC2kEHlMws8j4goKWXMfm9vL6xWK3w+H6ampjA1NaXuJwta6QpNmM1m9UO9ubl5ztXYxCu0NpuNPVKUU1u3bsWmTZsyXtAZkeTrcsmgL+9tzY6IFQoxmoFIeN71zWxnXRw3LDGRHgswd3V1Yc+eWJVL9+U3pX2s+/KbMLn/WezevRtdXV0VsUi0wWBQg1CmlB43JZQlG22gHJuYmEBfX1/anjaDwRAXyqqqquBwOFBVVYWqqir1mNPphM/nw8zMDOd/Ud7lJIBJKc9ZwDlTALI+j4gqVygUwuTkpBqqErfx8XEAwI9//OOUz6F8GFdVVaG+vh5tbW0pr5wq1fuocsxXLEMPHR0dePTRR3H77benr46oZTDB0rgCxuo6RCaHEOp/V7eeruRm56EJAxA5szRBsjlhwloFGZxC4N19GN29Y94FmLds2VKoN4HOzlhbHauuimtTMgaro2BFQkqZtsfN6/VmdM7MzIwazNJtQ0ND6O7unre662uvvYb33ntPDWmJW3V1NYd/06LkvAqiEMIM4GYA1wE4G4AbwDiAIwD+C8CTUspi+hQgIh0pVzsnJyfnbEqwUvZDoeRX9oUQ6lVMg8GAqqoqnH/++XFXN5X9fM8foNKUSQU7PYeNXX755bEdYUhaHXGO6AxCvUeA3iPJfz7b61QQRjOMrjpERnvVQ1UXnlnLaw6TFZgJwr7qSniu/ix8h56f7d0TyQOoUjkRwGc+85mC/jspxT6M1ZkNedarSEi5M5lMcLlcGc39U4ada0dEKJ81hw8fxsDAAGw2G4aGhnDixImUwyFNJpMaxrTBLHHjqAhKJqcBTAhxBYDvA1iOuUU5LgXwBwC2CSH+QEq5N5evTUTFJxKJYHJyEhMTE3G3iVuqxXnNZrP64dbU1BT3QafdHA6HWklrx44dGB4exjXXXFPIt0olLNcV7PJB6Wlxtv8OXB+4UV3/SoYCmHjlx/GBymCCsDggA7Nf8oWAweGBsaoGwmBEaPBE3ILJOScMMDjcEBYHTFU1CPUdnQ1fAjAagcgMqi/8GCz1rQgNdmP6+KsYe/G7QGQGtb97N0Z+8S1IAJ6rPwtLfSsmZgtraENbYgA1VtcjMjmI8847L+NmLrS3U3ve66/HqjpGJkcyek09ioRQPCGEWmGyrq4u7menTp1CVVUV/uiP/ghALKxNT0/PGW0xOTkJn8+nXhwcGBhIOQzSaDSqYczlcqlBzeVyxd1ytEVlyVkAE0JcCeBXAGwA3pndPw5gCkA1gFUArkGsV+y/hRAdUsrf5Or1iaiwQqEQJiYm5mxK0JqYmIDf7096rslkUj+Qmpub1WCVeOXQarVm3a6mpiacOHECPp8vq3kHVJmKvYKdQtvTkrj+VbDnHQRPHoRjzQZEpkYQPHnwTPgCACkR9Y0i6htN/yIGE0yeJkRnQpDhIGRgMoOKiknIaOy1fKOIjJ6OPbXDA1vrBfC/vQeWpnPU9lvqW+E79DwQmYF12VqEB0/EVTvUFtaovvBjMLnqcfJbtwAzQVRd9HGYvS2wta7DxG+fhu9gZ0bBZqG9nenO8x9+EdFr7kw7DFGvIiGUGSkl+vr6sHTpUvWYEEKd3ztfWfpwODxnBEfixcb+/v6UIzlsNpvai6cEs8SNwx7LR04CmBDCAuAHACYB3Cyl/I80j/00gH8C8H0hxCopZYHGQBBRpsLhMCYmJjA+Pq6GKe3+xMQEAoFA0nMdDgdcLheWLl0ad9VPe5vPIRnNzc0AYqWEV65cmZfXoPJRKhXslGCRrKfFfeXNGPjRVvjf3hN7Hx/6QwR7DiMa8iM82I1A9wFEp8fnf5HoDGZGTs37MGG2QUYyr55oP/symOuWq0VCPLO/z8QKh8aqmtl9g1rtMLH8/OjuHcBMENZla1H7kT9WnyfTYLPQ3s505/m6/hsyHEhZpVKhR5EQytzExASmp6fR2Ni4oPPNZjNqamrmrcAbDAbnjAjRXrzs6+vDsWPHkp5rsVjmhDK32x13u5ALl1R4ueoB+yyAWgCXSymTDOg+Q0r5IyHEMQAvzJ73eI7aQEQZkFKqBSu0mxKyxsfHU/ZcOZ1OuN1utLW1Jb06V11dDZMp51NLs6JUr2IAo/mUUgU7JVj4j7w0p6fF3rYeNdd+ESO/+NacOVLCZIFMscaXsNjVuVPZmFPwAwIGhwtRKSFme8+UtcYsS9Yg0H0A08deAQCYapcj0P0mfF2/ji8eYjDFKiIKA2qv+yKszaswunuHGshcl94Yd19bjj7TYLPQ3s75znOsugKDT9+fUZXKQhcJocwpCzArF/HyRSkwkjj8USsSiWBqairpKJOJiQkMDQ2pa14mstlscaEscauuri66xa8rUa6+KX0cwLfmC18KKeV+IcQjAD4BBjCinIpEIpiYmMDY2BjGxsbiQtbY2BgmJiaSVoBS/mgvXbo06VU1l8tVEmtV1dXVwWQyqR+mRKmUUgW7vr4+uN3u2P/LSXpaqtdtgsndgPGXf5h0jlQy84UvYbYlCVtJnwlR//jsXrzQ6bfj7s8Mv4+J4ffnPkUkrA5TDJzswsivHp19bQFLy2oM/ezvIcPTakCzt61PGmzSzetaaG/nfOc5zrkMNdf9OUb+65vJS+nPFgkxGAzYvn173ntQi7GSZyno7Y0ViSmGEvRGo1ENTKlEo1H1Yqr2Aqqyf/r0aRw9enTOeUII9bPd4/HA5XLB4/Go991uN+ejFUCuAtjFAP6/LM95EkDqWtFElFQkElHDVOKm/PFNpPzB9Xg8WLZs2ZwrYuU0bMFgMKChoUH9MCVKpVQq2GmHvwFI2dNibV4F65I1CJ48CCEEPv/5z6tfJn/wgx+gu7sb9lVXIhqYQvD9AylebbY8PGZ7ukwWmDzNsV6tSBgR/xgQjV3AMbobYaquQyQwhZnhkynnixmqahH1jwKaanKWltWwtpyLaGAKgVOHEBnrRdQ/FusFiyPPhDhhgK11HcKjvRh67qG4YLNx40bcfvvtOHHixJzX37BhA2699dYF9XY+88wzGZ1XvW4TjA43Bn/yQNJS+hs3bsSWLVvyGr6KvZJnsevv78+q9L3eDAbDvJUftdMJkm2nT59OekHW6XTC4/FgbGwMZrMZQoibAOyVUp7M41uqKLkKYLWIlZnPxmEAqftfiSpUNBrF5OQkRkdHMTY2pt4qW7Ivf8rVsrq6OqxcuRIej0fdKnHIQVNTE/bv349QKASLxaJ3c6hIpZtXlYweFewSh78Zq2ox2vlorKdl/7NwrJq7HpjS06Kdw3TNNdfgIx/5CKaPvAzX5TfBdckNGHv5Bwj3Jc41SejDmglhZqg7adsi4/2IjPer9w0OD6KBqdm5YQKONR+E+4rPqGXkrcvWwuRuhO9gJ0I9hxEe7IZj9VVwnns1wkPvY/rd19R5ZdZl58Ox6gpEQ35EpkYR7D2McN8xBE68jsCJ19XXVHoFf/3rXwOI9do5Vl89Z17XCy+8ACD73s6dO3dmfJ7jnMvgbP8wfAc78alPfQoXXnhhwXqgMpnb9pGPfAQ33HADPvzhD7NXLIne3l40NTWVVZELs9mM2tpa1NbWJv25dkqCchFXexsIBDAwMAAAPwIAIYQEEAAwBqAPwHuIFd57A8BvpZTJ/1jQHLkKYA4p5WQ2J0gpJ4UQ9hy9PlFJCQQCGB0djdu0YStx3RGDwaAGrLPPPjsuYHk8HlRVVZXVh8ZiKVf9+/v7sWzZMp1bQ8Uq3byqRHpVsEs2/M1cuzTlUEO3241///d/n9PGjo4ObN++XV3MORZUroKlYQXCgycSFmoWsK24GIF398HcdDaq2n8H0ZAfBosDwmyFr+vXSdfvivrHAADWZWvhvvJmWJtXaYpsxOZt2dvWw1y3HOO/eRIy6J87VNJohueDn4P7st+b8/yJJesBqIuvA5h3XheQfW+n8vzZnnfhhRfia1/7WkbnLJQy1PD111/Hjh07IKWc8zuYPvEGZkZPI3j6bUgp8dOf/hQ//elPAbBXTGt6ehrj4+M499xz9W5KQQkh1GJZ2uqPiu7ubuUi5r8DOAtAEwDP7G0zgAsTnw/A41LKP8xvy0ufvrPlicqUlBITExNquBoZGYkLW9PTc+deVFdXw+PxYOnSpfB6vfB4POptpfVgLZYyibq3t5cBjFJqb2/Hhg0bsGfPnqKsYJeqSIi9bT3sbesRGuxW1wMTBhPGXvoBxsfHU85h2bx5M37+85/j6aefTjpMDgDMtcthbmibLYgh4N34Bdjb1sc9pnrdtWfC0O4dUHvNjGbYz7oI5rrl8HX9GoNP3x8bxqiZtwUA7st+D+7Lfg++I7+Br+vXiAZ9mJkYQmT0NKzNq5KGLyC+ZL3CWF2HyOTQvPO6gr1HEex+I+veztHRWOn+YuolTTXUMPF3MPnmLoz84luALN717YqFMme4GOZ/FZuamhpIKX8/8bgQYgmAywCsB7AGsYDWjNgIN5pHrgKYEELMHURKVMai0SjGxsYwMjKibtqwlTiu2mQywev1YtmyZfB6vaipqVEDlsfj4aTXHGpsbIQQgoU4aF5bt27Fpk2birKC3XxFQhLXAwsPn5y3SMjy5cvjDwgDDE4vjNV1MDk9CLx/AOHZIhm2sy6eE760r+079Dxi4Wt23lgkjOljr6gVD4HYsMS63/2fSZ/HueoKOFddAQAYeu4h+EZPI3iqC6O7d6T9d1DPv2ATfAd2ZTSvy7vhFvQ98Ubm63UdjvV27t+/H0AWvaSHXwIA7Ny5E+3t7TnvXUocamhbvg7Tx/ZCmG1xv4PpE2+o4auY17crFsqc4XxXQCwnUsrTAJ6e3ShLuewBW8j4p7n1M4mKSCQSiQtZw8PDashKNlTQbrejpqYG5513Hrxeb1zQ4jDBwjGbzairq2MAo3l1dHTg0UcfxZ133pl8XlWBK9hp5aNIyHPPPQcAsC4/H8H334otmjw1jOjUMJRFOc31bQgPnkDg3X3zh6HZwhiBE6/jnnvuQXNzMyYmJuDz+fDggw9CzgRhbV6Vtt3a4Z2AmFNKX/vvoBBmG8zeFgCZzc+ytqyOzVHzj2XW2xmehrG6HpHJwbTVJ+eeF+vxe+2113Leu5SsHP7UW7/C9LG9cKy+Ou53MP7yD9XwVczr2xWLvr4+GI3GtKXhiXIpVwFMSimzrk/NXjMqBlJKjI+PY3h4WA1Zym2ykOV0OlFTU4Nly5apiy4qm81m0+ldUKKmpiYcOnQIkUikJMrnk342b96MtrY2bNu2Dbt379algl0yuS4S0tXVhaNHj0JY7Gj41BaMvfR9TL7609gPDSZYGlfAXN8GRCMIj5wGIuG0ZdWVoYXh0V4ETrwOp9OJL33pS+rrvfzyy1kN71TmjqUtpW8wAtEIHKuvhpyds5ZpQLW1XgD/23sy6u2EMKDmI3+MoWf/HuPj4zAYDBmfV3/jvQj2vJPz3qVk8wGjIf+c30FosDtWCbME1rcrFr29vWhoaOBnBRVMrgJYkkU98noeUVaklJiensbQ0BCGh4fjQtbw8PCc4YJKyFq+fDm8Xi9qa2vVkFUu5drLXXNzM9566y0MDg5yXD/Nq6OjAx0dHUW1hlKui4QkDmms+Z3bAQhMvvoTIDqDUO8RhHrnFjRONl9MCUv2tvUYeu4hAMDjjz+OK664Qn39bIZ3aot0KPPbEgtuuC6/CRAGTPzmSRira2CwxJ4r04AqjGeGeafr7VSCpeOcy9RqiJ/+9Kfxox/9KKNA6jjnMjjOuUx9nVz0LqWaD5jsdxDofhNAaaxvVwxCoRCGh4exfv16vZtCFSQnAUxKeVYhzyNKJRKJYGRkRA1a2ttAIH5BUYvFgtraWqxZs0Yt01pTU4Pa2lr2ZJUBJXQppYWJMtHe3l40X0JzXSQk2ZDGmt/ZDPuKizG6+/EkJelj7GdfBlvrOrUSoq11nTr3TDvv6fjx4/jIRzbhO9+JDbvLdHhnYpEO4Mz8NmVem7V1PbwbP4+Jff8BIBY4nGs2Ash+fhYAGF31iEwMpg2WwJlhne3t7di1axfuuece7Nu3b97zgNz2LqWaD2h01QMAfG8/D3PtUthXXpq0Vywdvda3Kxb9/f2QUnL+FxUUqyBSSfL7/RgaGlI3JWSNjo5CyjNTCw0GA7xeL5YvX66GrLq6OtTW1sLpdHJOVhlTQhfngVEpy2WRkFRDGmO9Tv8YV1XRYHEg0P0mpo+9AlvrOrgu+UTS51TmPVmXnAfrsnZM7H0Kmzdvxt69e/Hoo4/OO7wzWXDRUsKBtWU1AMDWug5ALHTVXHMnrMvWInjyYMbzs2w2GwKBAGzL18H1gRvj3q82WCq0wzo7Ojpwyy23YN++fbA0r4L97A+kPA/Ibe9SYniePvGGOlQz1tAZjO1+HGO7H4fREwsSxVS5sZixAAfpgQGMipYyN2twcDAubA0NDcHv98c91m63o66uDsuXL0ddXZ0asrxeL8d0Vyi73Q6Px6N+uBKVolwWCZlvSKO2qmI06MfYntgixKHBE4gG/emHD179B2qImtj7FLZv345wOIx/+7d/ixveuXXrVjz99NOwNK9C7UfvShpctJRwYHS41TZqQ5f7ypsx8KOtmQ1zBNSREEqASxUslXMTh3UqQcjWth6eK29O23Zg8b1LypDY3/zmNwBioSptefnDLyIyFvubl3HFRx3WtysmfX19EEKgsbFR76ZQBWEAI91Fo1GMjIyoQUsbuMLhcNxjvV4vlixZovZkKZvT6dSp9VTMmpubcezYMUgp2dtJJStXRULa29txzjnn4OjRo5lX9APgO7AL/rf3pJ33pK7xdflNmHztWcjwNB5//HGcd955uPvuu9XXv++++/D0008jPHwSptnhc6lohw0qPV8A5oQub8edGO18NHlAPfySWpnQ0rIaodNvY+XKlTh+/PiChnXmujBKKqnW+vK9vRu+rk4gyaLLQHx5eRkOFOX6dsWmr68PdXV1XAqGCooBrIgJIf43gK8BuEJK+abe7VksZX7WwMDAnLClrTRoNBpRW1uLVatWqQGrvr4eNTU1/ANJWWlqasLbb7+N4eFhlhemkparIiHXX389vvGNb2Q8pPHBBx/Eo48+imPHjmU0fNBgdcCx+kr1sQ888IAawIAFzGsLB2BweOJ6yuxt61Fz7Rcx8l/fxMTepyDMdtha1yE8fAqRydTzugLdbyJ0+m188IMfxHvvvbegYZ1ZF0aZDZDZ9C4lrvWl9HBNvbkLUf8YgLmLLiuU8vIz4/0ZV3ws9Pp2xSQSiWBgYKBiwyfpp6wDmBDCCeB3AdyA2ErdywBMAzgB4AkA26WU0ynOvQ7AXwG4CMAMgJcA/LWU8rUUj/8zAF8BUAfgeQBfllKeWORbmAZgB/B3AD62yOcqmGg0iuHhYQwODqpha3BwEMPDw3FBS1mrae3atWrIqq+vh9frhcFg0PEdULlQxvT39vYygFFZWGyRkDVr1uBzn/scvve972U0pPG2225DMBjEli1bYG1bD9uytWnnPQFnht3BYML4+DieeeYZ3HDDDerPP/7xj2PPngzLwSNWaj1xCGT1uk0I9R/H1OvPQYanETjxenwbXA2wr7wU1Rd+TG2nr+vXAIALL7wQV1999YKGdS4kQALAK6+8ktG/W7K1vpT3bXI3YuS/vjln0eVkaq/9IvxHfjPvUgJ6rG9XTAYGBhCJRFioiQqurAMYgI8C+AGA5wB8BsARAA0A7gbwDQC/L4T4sJQyrga5EOI2AI8B+CaAGwE4ADwM4GUhxLVSyucTHn87YiHpdwG8BeCfAPxCCLE+VcDL0MMA/g+Aa4QQ4qab0v/BLTQpJcbGxjAwMKBuSo+Wtqy72WxGfX09zj//fDVk1dfXw+PxcFgY5ZU2gJ1//vk6t4aoOFx99dX4/Oc/n/GQRmX4nKmqLqN5T8qwO0vjCoR6j2Dnzp1qAHvsscdwzz33qI9Nuujy7LBBg8GAs88+G0eOHEkadqov/BimXn8OMFnhuep/QEZnUobDxLlO7e3tCx7WmVV5fQgAMuP1wJKt9aWQ4SAAzFl0ORmD1QHnmg3wHeyEydOMmbHeolnfrpiwAAfppdwDGACMA7hJE4TeB/DnQogPAvgggA0Afq08WAixBMC3AfwWwF0yVlJvRAhxC4DjAHYKIc6RUgY1r7EZwPeklLtnn+PLAHoAXA3glwttuJQyIoT4NYBNAP58oc+zWFJK+Hw+9Pf3zwlb2jlaRqMR9fX1aG9vR319PRoaGhi0SFdVVVWoqqpiJUSiBNkMaVSH3WVZ1MFc34ZQ7xGMj48DmNu7Y205FxOv/iTlossPPvggLrroopRhx1LfCuuSNQiefhvRoC/ruU4LHdapFEa5/fbbkwfIJAtVT+x9Crfffju+8pWvpHz+VGt9qb/bBZaXd57fAXvbhej7/j1AJIx77rkHn/vc51K+x2JaCy/flADGHjAqtHIPYLsB/E6KXqhjANYB8CQc/xMANgD/JjX1zKWUPiHEkwC+BOD3AXxPc07sEtcZUc3xxboHsQB2F4CxHDxfWqFQCIODg+jv748LXNqqg0II1NbW4pxzzkFDQ4O6ceggFaPm5macPHmShTio4iT7Ip0okyGNC1mPzLpsLRCNjYRwu2MVDJP17jjOuWxO+fvQ4An4DuzCc889h7vvvjttFchg/3EAWNRcp4UM67z88stjO8IAGZ5OOz8uGvRj8rWf4cSJE7jrrrsAABs2bMDWrVvj/k1SrfUFAKHBboT63wWQfQEQg8UBa8tqtUesubk56ftNVfgjVXvLQV9fH7xeL9f+pIIr6wAmpRwEMJh4XAhhQWxulw/A3oQfXz97+5skT/kbxALY9YgPYN8HsE0I8QMABwE8hFhv2YuLaT8ASClfF0L0A1gRiUQOLvb5NM+L0dHRuKDV39+PkZH4P+wulwstLS1oaGhAY2MjGhoaUFdXB5OprP/ToTLS3NyMo0ePYmxsDF6vV+/mEOVdui/S55xzDq6//vokZ6W3detWfOQjGQ67Ewa4Lr0RQz/7OgDg1ltvTdu7oy1/rzyX/50X1AWM56sCuWrVKhw7dmzRZfqzoYQlZ/vvzLueWKwwyVXwHeyEpXkVwsMnsWfPHmzatEmdZwckXyh7znpfyL4nUqkgma4kfqrCH5HJEfiPvJS0vaUuGo2ir68Pq1at0rspVIEq6lu0EMIFYA1ilQXdAP5AStmr+bkRwHmzd08keQrlWOJkkm8i1mu2E0ANgBcAXCul9CM3HgPwv6enp5cs5ORgMIiBgQH09fXFBa5QKKQ+xmKxoKGhAW1tbWhsbFTDlt1uz9FbINKHdh4YAxiVu/m+SB89ehTf+MY3cP7552f1RbqjowPbt2c+7C7Y8w5kOAC3240bbrgBDz/8MIDkvTuJki1gPN9wwc7OzkWX6c+GNiwlBshklPBjP/sDaPzM/WpYvf322yGlxObNm+eUuE+23leg+01EJgez6olU2paqJH66wh9AfGn7TOeylYKhoSHMzMxw/hfpomICmBDiQQD/a/buqwA+KqX8bcLDvAAsAKSUcjzJ04zN3sat1jc7VPH/zm75cD+Ae8LhsDvdg6SUmJiYQF9fnxq2+vr6MDo6Gve4mpoarFy5Ug1ajY2NnKdFZUsbwM4777x5Hk1UuvL9RXrz5s145ZVXsH379pTD7lyX3ohgzztqT9m9994LIHnvTjqpemtSDRfMVZn+TC10PTCDxaGWigeghrCdO3fi1ltvBRArce9fdYUavrT/ltMn3sh84WlhgHu2aEq6BZfTFf4AMKe927ZtK4sAxgIcpKeKCWBSynuEEH8N4BzEysXvFUL8A4C7NXO9lO6ecLLnAKB0GaW/fJdjUsppIcQrAK5QhghGIhEMDQ2ht7c3LmwFAgH1PIvFgsbGRjVsNTU1oaGhARaLpZDNJ9KVy+WCw+FgIQ4qe4X4Iv3oo48iFAphx44ds09qgqVxBcz1bUA0gqGffV0tvf6FL3xBXQOsUAsYK2FLCWHKUMFch7Cs1wNLGA4IKItW/wwyHMCePXvw4osvYtWqVThy5AhGfvlPavjS/luqa6D94ltpy8snLpCdasHl+Qp/aLkvvwmT+59Vh4aWemEOBjDSU8UEMACYrVx4EMBmIYQHwF8CeAfAd2YfohTrSLXar5JccjW0MBtbAfzy1KlTePTRR9W1KxQulwvLli1DU1OTunm9XvZqUcUTQqC5uRk9PT0sxEFlq5BfpB9//HG0t7fjgQcewPj4OEK9RxDqPXLm+d1u3HvvvXELMC80sGQTEAtZRGKhhUlSzQ2ztq5HsPsNHD16FEIIRCaHIMzJ/y2r122Cyd2gzg2brwBIuiIk6Qp/JEo2NLSU9fX1we12w+Eo6DV1IgBlEMCEEG0A3ks43C2lbJvn1O8A+BSAO3EmgI0i1stlEUK4kwxD9Mze9i+0vZkQQtgRW8PsWgCXAFiB2Jw1zMzMYGxsDOedd15c2OIfEKLUmpqacPz4cUxOTmZ9RZ2oFBT6i/Tdd9+Nu+++G8888wx27tyJ8fFxuN1u3HrrrXGLLisWElgSe2tS6erqwv33348nn3wSUkrAZIXz3A/mvYhEVuuBaYYDailDLc21S2FtPgcTe59CfX09BgcH4Vid+t/S3rYe9rb1CA12o/+HX0PUPzvVwGSByd2IQPeb8HX9Om5NtWRFSHI1NLTUSCnR29uLFStW6N0UqlAlH8CklCewsHLv3bO3Z2ueKyKEOARgPYCzALyRcE7b7O1bC3i9pIQQtYgFwY7Z112GuUMcIwD6hRA1BoPBcu2112LdunUgosy0tLQAAHp6ehjAqCzp9UX6hhtuSBq4kskmsKQqGa+VssdrJoiZ8T442z8U6wXKUxEJZT2wVCXyUw0H1FKGWkamRuD92Jcxuf9ZDA7Gijdn8m8Z7DmMqH8sdkcYgJlQ0jXVvvKVryQNnoUaGlpsRkZGEAqFOPyQdFPyASwdIcQuAD+XUv5jkh8r/9clfvr8HLEgdDnmBrArNI/Jla8B+LLmfhCxaosHEVvH7D+klEcA4NOf/vRrNpvtor6+PgYwoixoC3Gce+65OreGKPdK4Yt0poElk5LxcdUezTY4Vl8d1+MVPHkQAz/aitrrvoiqCzblrYjEfCXytcMBE0WDfvgPx4ZaGqtq4nomgfn/LadPvBEr1AGpFuqYmRhUS+ILgwnh0R74DuzCQw89hI9+9KNz3nchhoYWo56eHgCc/0X6KfdVcy04s65Xoltmb59LOP7PAAIA/lBoJosIIZwAPg3gFIAf57CNOxFbR2wzgDoppU1KeZaU8nellH+vhC+FxWLBm2++iZmZmRw2gai8eTwe2Gw2FuKgshX3RTqYfpqynl+kN2/ejF27dmHjxo2QoVglxYm9T8F3sFMddrhr1660wwQTqz0u/bOdqLv+y/BuuBV1138ZS/90B1yX3wTIKIb/61uYPvEGgFiPm7DY1blvudLR0YHnn38eBw8exKc+9Sn1uPOCTWj6gweThi9gdqhlODb13OyN9dIrPZPA/P+W4y//MK5Qh8HqgKW+Fa5LPgHPlTfDffnvo+6jX4Lr8psQjUaxbdu2Oc+hDA2VoWmMz/ZMpny9LIeGFjMW4CC9lXsAkwCuEUI8JoQ4TwhhF0KcLYR4CMDnARwB8DdxJ0h5ErHFlj8A4BtCiBohxBIATwCoBfAFKWUAOSKlfF1K+Vkp5b9KKYfne7zD4cD09DTeeeedXDWBqOxpC3EQlaNS+iKtDSzf+MY3sG3bNnzjG9/AwYMH8fzzz88bChOrPSb22ijVHpUQNv7yD9XjjlVXAjgzZy6X2tvbcd9996n3fQd2oe+HX8Ponicwse8/EBqMzXyIBv0Y3b1DHYoJnKmOqPRMrly5Mu2/ZWiwG8GTB1MW6tCaL3hu3boVBoMBE3ufwujuHXNCn7a9mQwNLQW9vb2orq5GVVWV3k2hClXWQxABfAbAzQBuQKynqwWxIhtHAfw1gIeklJOJJ0kptwshTgH43wDeBzAD4GUAV0op9xWo7UnZbDZYLBbs378fa9eu1bMpRCWlubkZ7733HiYnJ1FdXa13c4hyLtdzrPIt1Zpe6Syk2mPw5EGEBrthqW/NexGJ9vZ2nH/++XjrrdhU8WD3Gwh2v6H+3ODwIBryAzMhxKavS7U6orZn8q/+6q/UoZrKe9H+W04ffxUA0hbqUF9znqIruRwaWgqUAhytrekXzybKp7IOYFLKAQAPz27ZnvufAP4z541aJCEE1q5di/3792N0dBRer1fvJhGVBO08MAYwKkeZfpEWQpTsF+mFVnsMdL8JS31r3ue+PfbYY2ov05y5aYdfVAtmCFsVZGAqrjqi0jN5wQUXYOfOnYhGowCQdL0v39u7AeSu6Mp8c9k2btyILVu2lOR/M4lGR0cRDAY5/JB0VdYBrFxdfPHF2L9/P/bv318WfwyJCkFbCXHVqlU6t4YoP+b7Ir1q1Sp87GMfy1kp9kJbaLXHaMif97lviXPT5vRAaqoxysAUAIHa674Ia/MqdYifEAIHDx6MFRex2GFtWYPQwHFE/eNJqxvmsuhKR0cHOjo60NXVpS5k7XK50NHRUfJzvrSU+V/KZwKRHhjASlBzczOamprwxhtv4EMf+hCMRqPeTSIqel6vF1arlYU4qOyl+yL90ksv6d28RVlotUeDxZH3uW+Jc9MSKXPTgFivlsHhQuBkF0Y6t6s9kwCSBrjRF3+AiZe+N/tEJliXrEHw5FuxXrUcVy9cyNDQUsIKiFQMGMBKkBACF110EX7+85/j6NGjLKtNlAEW4qBKk+yL9GIDWKYLL+fLQsumhwZPwHdgV97mvmU9N+21n8X1am3cuBGjo6M4cOBA0gDnvfp/wLZ0DcZf/iGCJw8ieDI2x0yGAzlf2Lrc9fb2oqqqikPRSVflXgWxbJ1//vkwmUzYv3+/3k0hKhnNzc2YnJzE1NSU3k0hKilf//rX4fF48MlPfhJPP/00Ojs78fTTT+OTn/wkPB4Pvv71rxekHQup9ghhUMNXvua+ZT03bfVVAIBPfepTOHjwIL797W/jwIEDaQOcvW09mv7gQTTd8v8AoxlA7MJSJtULAeCSSy5Z1HssB0oBDg4/JL0xgJUom82GtWvX4tixYxgfH9e7OUQlQTsPjIgy84UvfAFf/epXMT4+DmG2wbn2Griu+DSca6+BMNswPj6Or371q/jDP/zDgrQnm7LpAAAZzWh9scVY6Ny0Cy+8EO3t7VkFOGvLajjXbAAQ6zkDYkMaT3378xh67iGM7t6BoecewqlHPj/7O4gNbXzooYfyUn6/lIyNjSEQCHD4IemOQxBL2EUXXYQ33ngDr7/+Oj70oQ/p3RyioqethMhCHETz+/rXv44dO3YAwLyFJR5//HGcd955uPvuu/PapmyqPd58882499578z70bqFz05TzFhrgTpw4MXtePSKTg3MKdViXrYX7ypsR6H4TE3ufwrZt2yq6eBfnf1GxYAArYUuXLkVDQwNef/11bNiwAQYDOzSJ0qmpqYHValWrYBFReg888AAAZFxY4oEHHsh7AAOKr2z6QuemKectNMCdOHECwmJHy+ZvY2ZiEIHuNxEN+WGwOGBrXQdLfWytK2vzKkzuf1ZdjLlS54IpAYxDEElvDGAlTCnG8V//9V84duwYr+gTzYOFOIgy98wzz6jDDjMtLDE+Po5nnnmmIIU5iqlsujI3bc+ePQsqiqEGuEyrGh4+U0xFGbZoqW9VA1ei+RZjTqcYfr+5wgIcVCwYwErcBRdcgF/96ld47bXXGMCIMtDc3IwTJ05gamoKVVVVejeHqGjt3LkTAOBYfXXGhSV8Bzuxc+fOglZGLJay6Vu3bsWmTZvUuWdzhmsG/epwzVTVGDOuahgOqPdztRhzos7OTtx3333Ys2fPnJ9t2LABW7duLanhjEoBjuXLl+vdFCIGsFJnt9vR3t6OAwcOqFeniCg1LshMlBmlwFO2X/ArtTBUpnPTklVj1BbHyCTAaeVyMWbFY489pi4qLcw2OFZfDWN1DSKTI/AffhF79uzBpk2bsH379pJZ1Ht0dJQFOKhoMICVgYsuughvvvkm9u/fz2IcRPNgACPKjNvtBpD9F3zlvEq00LlpSq+UbcUlCLy3P22AgzDAdtZFCLy7D8DC552l0tnZiTvuuANSynkLr9x+++1obW0tiZ4wZe4v539RMWAAKwPLli1DfX09i3EQZcDr9bIQB1EGbr31Vjz99NNZz0u69dZbC9XEorSQuWlKr5TR4UHDp+9TF1xOVdXQ1/VrAMDKlStx/PjxnC7G/Bd/8Rdq+Mqk8Mpf/MVf4M0330z7nMWABTiomDCAlQEhBC6++GIW4yDKgBACLS0tLMRBNI8bbrgBbrcb4+PjGc9LcrvdBZ3/VcyymZumraJYc82daPqDBxEa7E5a1TAa9GPwJ7HqlH/1V3+lDnkEFjbvTKurqyu2IHQWhVcOHDhQEpUVe3p6UF1dzbm/VBQYwMoEi3EQZa65uRnvvfceJicnWQ2LKI17770XX/3qVzOel3Tvvffq0s5c0LPaX7IqiqmqGmp7szZv3gwAGa2J9pnPfAZNTU1p2/Hd734XQPaFV7773e/i7/7u7xb47vNPKcDR1tamd1OIADCAlQ1tMY7x8fGKHoNPNB/tPLDVq1fr3Bqi4nX33Xejq6sLO3bsiH3Bf+1ncKy+6swX/MMvqRX5vvCFLxRkDbBcy2e1v2xC3UKrKM437wyIBZAf/OAH+MEPfpD2PR04cABA9oVXlPOK1cjICILBIAtwUNFgACsjF198sVqM48Mf/rDezSEqWgxgRJl7/PHH0d7ejgceeADj4+NzvuC73W7ce++9JRm+4qr9WexwrLrqTLW/Iy8tuNrfQkLdYqooaued3X///XjyySchpQRMVjjP/WDW7ynbwivFjvO/qNgwgJWRpUuXoqGhAa+//jo2btzIYhxEKXg8HtjtdhbiIMrQ3XffjbvvvhvPPPMMdu7cqY60uPXWW0t2zldnZ6cavuar9nfHHXdkXO1vMaFuoVUUFT//+c/xwx/+EAAW9J4uuOAC/PznP8+68MoFF1ww7+9FTwxgVGwYwMqIUozjP//zP3HkyBGce+65ejeJqCgJIdDc3Iyenh5IKSGE0LtJRCXhhhtuKNnAlei+++5Tw1cm1f62bduWUQn3xYa6hVRRBGLB76tf/SoALPg9fe5zn8ODDz6Y9YLQn/vc59L+XvTW29sLl8sFp9Opd1OIAADsIikzF1xwAcxmM1577TW9m0JU1FpaWuDz+dT1d4iocnR1dWHPnj0QFntG1f6ExY7du3ejq6sr7WMTQ11iD5ISgFyX34RoNIpt27alfK729nZ86Utfwte+9jV86UtfShu+lLW7AECYF/6e2tvbcf755wOIBbTR3TsQDfrjzo0G/RjdvUOdq3bBBRcUdQXEaDSK3t5e9n5RUWEAKzM2mw1r167FsWPHMDo6qndziIqWdh4YEVWWzs7Y0D7Hqqsyq/a36sq485LJV6jLxH333Reb8wXAsXpx7+mhhx5SRwVM7H0Kp779eQw99xBGd+/A0HMP4dS3P6+GLyEE/uEf/mHR7c+n4eFhhEIhBjAqKgxgZejiiy8GAPaCEaXBAEZUuZSe72yr/aXrMc9HqMuEEvxgjM0qWex76ujowPbt29UQJsPT8B3sxMTep+A72AkZngYQC1/f+c53FlwhslA4/4uKEQNYGWppaUFzczPeeOMNRCIRvZtDVJSU+QAMYESVx+VyAci+2p9yXjL5CHWZUAKcpWEFgNy8p82bN+OXv/wlNm7cmPTcjRs34pe//GVWlSH1wgBGxYhFOMqQUozj2Wefxdtvv421a9fq3SSioiOEQEtLC06ePMlCHEQVRum18R95KbNqf0dejjsvmXyEukwoAc7ccBZCvUdy9p4WWgwkGT0Xue7p6YHX64Xdbi/I6xFlggGsTJ1//vnYtWsXXnvtNQYwohRaWlpw9OhRjI6OoqYms6vWRFT62tvbsWHDBuzZsyezan+haWzcuDFtaMhHqMuEGuAiEViXrUXw5MGcvScg9rtaaFjK5yLXmYhEIujr6+N6j1R0OASxTFksFqxbtw4nTpzA0NCQ3s0hKkqcB0ZUubZu3QqDwZBRtT+DwYAtW7akfT4l1MnQNMZni1Skkk0Amo82+LkuvREQmb0nIQTa29vR1dWFrq4uPPzww7j//vvx8MMP56QwyGOPPYZNmzaphUmca6+B64pPw7n2GgiLXV0P7V//9V8X/VqpDA4OYmZmhsMPqeiwB6yMXXLJJXj11Vexb98+XHfddXo3h6joaAMYe4qJKktHRwceffRR3HnnnZjY+xQm9z8Lx6orYayqQWRqBP4jL0OGpmEwGLB9+/aMemq2bt2KTZs2qVUC56wDFvSr64BlEuoyoe3NC/a8g5prv4iRX3wr+Xs6/LJaRENKiUceeQSPPPJI0uddTA9Vvha5zhbnf1GxYg9YGWtoaMDy5cvx5ptvIhwO690coqJTVVUFl8vFHjCiCrV582bs2rULGzduhAwlVPub7aHatWtXxsUmlFCn9KydeiShhPsjn1fDV6ahLhPa3ryZsV7U33gvrMvWzn1Ps+HL3Hg2bCsuUc8XZltOe6hyuR7aYpw+fRoA0NzcnJfnJ1oo9oCVuUsuuQRPP/00Dh48iAsvvFDv5hAVnZaWFrz77ruIRqMwGHhNiqjS5LLYBBALdW1tbdi2bRt2794N38H4MvMbN27Eli1bctrjk9ibJyx2OFZdCZO3BeHBEwj1vwtEZwAA3o/8Mcw1SzHwo60AkPMeqmzXQ5vc/2zcemi5LNbR29uLuro6WK3WBT8HUT4wgJW5NWvWwOFwYN++fQxgREm0tLTgnXfewfDwMOrr6/VuDhHpZDHFJhLlOtRppXrO+YKfsboetR+7C/a29ej7/j2APNNDlUjpoQJiizFv27Yt4wC2kPXQfAc7ccMNN+D48eNzHrPQoZAzMzPo7+/n8HIqSgxgZc5kMuHCCy/ESy+9hJ6eHo6DJkqwZMkSALGhKgxgRJRLuQx1mVYU1Aa/Y8eO4Zvf/CZgsqJl87dhsDoQGuxG8OTBBfVQZfJeFroe2vHjx2d77q6CsboGkckR+I+8pA6F3L59e1brjvX19SEajap/44mKCcfbVICLL74YAPDqq6/q3BKi4sNKiERU7LKtKNje3o4vfelLOPvsswEAznM/qPZGBbrfBJBdDxVwpmdrPgtdD83auh5L/3QH6q7/MrwbbkXd9V/G0j/doc4Tu+OOOzJuA8ACHFTcGMAqgNfrxTnnnIODBw9ienpa7+YQFRWbzYaamhoGMCIqSokVBbMJKcl6o6Ih/5xj6Sg9VMpzzSduPbSEMviJokE//IdfAgDUdNyR02IdPT09MBgMaGpqyvgcokJhAKsQl1xyCWZmZvDmm2/q3RSiotPS0oK+vj5EIhG9m0JEJSgf62gpFlNRMFlvlMHimHMsHaWHSl3weR5Zr4cWDsC65DxY6ltTPs59+U0QFntcsY75nD59Go2NjTCZONuGig8DWIU4++yz4Xa7sW/fPkgp9W4OUVFZsmQJIpEI+vv79W4KEZWQzs5ObNy4EWvXrsVdd92FLVu24K677sLatWuxcePGrIbMJQtx2VYUTAwpyXqjbK3r5hxLJRr0w3/k5bjnykQ2i1wDgPvqP0j7fNkOhQwGgxgaGmL5eSpavCxQIQwGAy6++GL893//N9577z2sWLFC7yYRFQ3tPDDOFyCiTDz22GPq0MDFFI9IV1xj5cqVALKvKNjZ2akWAFEWaR7f+xS8Gz8PS30rrMvWInjyoHoslfG9T6nroWVTTGTeRa4PvwQZDgAAbCsvgb1t/bzPmc1QyN7eXgBgAQ4qWuwBqyAXXXQRjEYj9u3bp3dTiIpKc3MzhBDqop1EROksZl6W1nzFNZSy7IuZr5WsN8p95c2AyKyHymAwYMuWLVn/jtIuch0OQFidsTbbPRk9XzZDIZW/5QxgVKzYA1ZBnE4nzjvvPBw8eFBdP4SIALPZjIaGBhbiIKKMJM7LSpTJOlqJIS7ZYsgDP/n/EOx+Y1HztVL1RtnOugiBd/fFjr32MzhWX3Wmh+rIy5ChaRgMBmzfvn3Bi0YnlsX/h3/4B3R3d8N5wSa4LrkBvf/6Z7GhkNfcmbaHL9uhkD09PTCZTFxahIoWe8AqzKWXXgopJV577TW9m0JUVFpaWjA4OIhQKKR3U4ioiC12XpYik+IaNR13AAD8h19c1HytZL1RgXfPjIaR4UB8D9XssMNdu3ZltfZWKu3t7ejo6EB3dzeExY6a37ldHQqZcbGOLIZCnj59Gs3NzTAY+DWXihN7wCrM0qVL0djYiP3792PDhg0wGo16N4moKCxZsgSvv/46ent70dqauhoXEVU2ZTjhQudlAZmHOEt9K6xL1iB4+u1Fz9dK7I1SRsIoYS3xWK4WkFYk+725r7wZAz/aeqYYR2IvYNCP8b1PZTUU0ufzYXx8HGvWrMlp+4lyiQGswgghcOmll+LZZ5/F22+/jbVr1+rdJKKioMwVOH36NAMYUYVLFlKUQJJsba10ks3LyibEua/+LAae/FrOQopSnCPZ8XxK9nuzt61HzbVfxMgvvpW2WEc2QyE5/4tKAQNYBTr//PPxy1/+Eq+++ioDGNGs+vp6mEwmzgMjqmDpKhJu2LABW7duTbq2VjrJ5mVlE+LsbethW3HJmflaiSElR/O18i3V76163SaY3A0Yf/mHCJ48CN/B+IIlZ599Nv75n/854/elBDBWtKVixsGxFchisWD9+vV4//33ue4R0Syj0Yjm5mZWQiSqUPNVJFTKyo+PjwNY3Dpa2YY4o8MNIBZG5lQUzPF8rXxJtiaZwt62Hk1/8CCab/s2vB13wnXFZwCjGQDw05/+NKtQ2dPTA7vdDq/Xm7vGE+UYe8Aq1CWXXIJXXnkFr776Kj7+8Y/r3RyiotDS0oJXXnkFPp8PTqdT7+YQUYFkUpFQGeb3N3/zN7jgggtw4MCBBc/LigsjWVQA/OlPf6q2N5/ztfIh2ZpkiSz1rbDUt2J09w4gEs56/TEppbqeoxAil80nyikGsApVV1eHFStW4MCBA7jmmmtgs9n0bhKR7pQ5Az09PTjnnHN0bg0RFUq2ZeUBqGtrAdnPy8okjCiShbhSCFzJbN26FZs2bcpp0Q2tsbEx+P1+zv+ioscAVsEuvfRSvPvuu3jzzTdx2WWX6d0cIt1pC3EwgBFVhmzLyk/ufxYHDhzA3/7t3+Jv//ZvFzwvK99hpBilWpMsV/PZWICDSgUDWAVbtWoV3G43Xn31VXzgAx9gdz1VPK/XC7vdzkIcRBVkoWXlPR4Pdu3ahW3btmH37t1zikds3LgRW7ZsSRki8h1GitXmzZvR1ta24N9bOgxgVCoYwCqYwWDAJZdcgs7OTrz77rtYuXKl3k0i0pUQAi0tLTh16hSklLwoQVQBFlNWPt3aWpkME8xnGClmi/29pdLT0wO32805vFT0GMAq3IUXXojnn38er776KgMYEWJXTo8fP46xsTFW0SKqALkoK59qba1M5CuMlILF/N4SRaNR9PT0YNWqVTl5PqJ8YgCrcE6nE2vXrsWBAwcwNjYGj8ejd5OIdKWdB8YARlT+FlqRMNe9UrkMI4VWDOFxYGAAMzMzHH5IJYHrgBEuvfRSSCmxb98+vZtCpDttACOi8qdUJJShaYzPFsRIJVVZ+UrV2dmJjRs3Yu3atbjrrruwZcsW3HXXXVi7di02btyozq8rBM7/olLCAEZYsmQJlixZgv379yMcDuvdHCJdOZ1OeDweBjCiCrJ161a1rPzo7h1zFgqOBv0Y3b2jrCoSLlamC1f/67/+a0Hac/r0aQgh0NzcXJDXI1oMDkEkALFesJ/+9Kc4ePAgLrzwQr2bQ6SrJUuW4PDhw4hEIjAajXo3h4jyrFIrEi5UNgtX33HHHWhtbc377+z06dNoaGiAxWLJ6+sQ5QJ7wAhAbAiGw+HAq6++Ciml3s0h0lVLSwtmZmYwMDCgd1OIqEA2b96MXbt2YePGjZChafgOdmJi71PwHexUhx3u2rULt912m95NVXV1deHhhx/G/fffj4cffhhdXV0Fed3EhasT580pC1e7Lr8J0WgU27Zty2t7QqEQBgcH0dLSktfXIcoV9oARAMBkMuHiiy/GCy+8gFOnTmHZsmV6N4lIN0uXLgUQu6LK4SxElaNUKhJ2dnbivvvuw549e+b8bMOGDdi6dWveepwWsnD17t270dXVlbffYU9PD6SU6t9uomLHAEaqSy65BC+++CJ++9vfMoBRRWtuboYQAqdPn8Yll1yid3OIqMCKuSLhY489pg7/ExY7HKuugrG6BpHJEfiPvKTOvdq+fXteeusWunB1Z2dn3n6nLMBBpYYBjFQulwtr1qzBoUOHsGnTJlRXV+vdJCJdmM1mNDY2shAHERWVYph7tZiFq/Pl9OnTMJvNqK+vz9trEOUS54BRnA984AOIRqMsSU8Vb8mSJRgcHEQwGNS7KUREAIpj7lUuFq7OtdOnT6OlpQUGA7/WUmngf6kUZ/ny5WhsbMRrr72GSCSid3OIdKMMZenp6dG5JURE2c+9Eha7Ovcql+IWrk4o158onwtXKyYmJjAxMcHhh1RSGMAojhACH/jAB+Dz+QpWTYmoGCkf5qdOndK5JUREC5t7pT0vV4pt4WrO/6JSxABGc5x//vmw2+347W9/q3dTiHRTV1cHi8XCeWBEVBSKae5VMS1crfyNZgVEKiUswkFzmM1mXHTRRXjppZdw6tQp/lGjimQwGLBkyRKcPn0aUkoIIfRuEhFVsGKae1VMC1efPn0a1dXVeZ1jRpRr7AGjpC699FIIIdgLRhVtyZIlmJqaymv1LiKiTBTb3KtiWLg6Go2ip6eHww+p5LAHjJJyu90499xz0dXVhU2bNqGqqkrvJhEVnHYemNvt1rk1VI6klIhGo3O2xONSSvWYsp+4Kc+n3U98LaWq54kTJ+b06mrvK9XkhBBJN4PBMGffYDDM2YQQMBqN7EHOAWXu1Z49ezC+9yl4N34+5WMLMfcK0H/h6sHBQYRCIQYwKjkMYJTSBz7wAbz99tvYt28fPvShD+ndHKKCU4bfnj59umgXZaXsRKNRhMNhhMNhzMzMxO0r95X9VFskElFvE/eTbdFodM6+NljpYceOHQV/TaPRqAYzZd9oNMZt2mMmkyntvslkSrmZzeaUt2azGUajseDvPxe2bt2KTZs2YWK2+MWcdcCCfnUdsHzPvdLSa+Fqzv+iUsUARim1traisbER+/btw9VXXw2Tif+5UGWpqqqC2+1mJcQCk1IiEokgGAwiFAohFArF7afalDCVaj8cDiMajeasncnCgXazWq1zgoX2NpMtVW9Tqg1A3G1iz9Ovf/1rAMCHP/zhuN934n6qXjbtltgzl6r3Tgmcyr+r9liykBoKhZKG25mZmZz92xkMBjWMJW4Wi2XObarNarXG7ZtMprz29hXT3KticOrUKQgh0NLSondTiLLCb9SUkhACl112Gf7jP/4DXV1dWLdund5NIiq4pUuX4vDhw4hEIiV71byQotEoAoEAgsEgAoFA0v1UmxK0gsHggoJS4hdos9kMt9sd9+Va2wuS2DuSuJ9uU4JQqdm7dy8A4IILLtC5JdlTgp22FzLVlqxXUxvElfuJAd3n88WF92wJIdQwlm6z2Wxx+8p9ZT/d35rNmzejra0N27Ztw+7du+E7GF9mfuPGjdiyZUvZhy8g1gPW0NAAi8Wid1OIssIARmmtXbsWv/zlL/HKK6/gggsuKMkvHESLsWTJEnR1dWFgYADNzc16N6cgIpEIAoEApqen1U17XwlTyjHt/Wy+tCZ+UXU6nep+st6FdD0RZrOZf5/KnDKfrFAXQqSUmJmZSdvrmqqXVnthYWJiQt3PlNlsVsNY4ma32+FwOPCP//iPOHXqFF577TUEAgF4vV5ce+21FXOxNBgMYmBgABdddJHeTSHKGgMYpWU2m3HxxRfjxRdfxKlTp7Bs2TK9m0RUUNpCHKUYwEKhEKanp+H3++dsSqDS7k9PT2f0RdFgMMR9Iayuro77kpjsyr721mKxqIUeiIqREELtKXU6nYt+PimlGs60vcHaCxiJ95WLHKOjo5ienkYkEkn63DabDdPT0/jpT3+K5557Dna7XQ1qifsOh2POZrFYSu4CRk9PDwDO/6LSxABG87r00kvx8ssv45VXXmEAo4rT0tICg8GA06dP49JLL9W1LcoXOJ/Pp25+v3/OrXZ/vnkzZrNZ/YLm9XrR0tKi3rfb7WrASjzGHiei7Agh1B7eha5ZFQ6H43qetRdOkm2jo6Po6emZ96KK0WiMC2ROpzNuX9mU+zabTff//5W5uayASKWIAYzm5XK5sGbNGhw6dAjj4+Msx00VxWQyoampKW+FOKSUCAQCmJqawtTUFHw+X9x+4pYuUClfopxOJ+rq6uB0OlNe8VaOs7gOUelQeuSqq6uzOi8SicT1hGv3fT6fet/n82FkZASnTp1COBxO+XwGg0ENZVVVVXEhTblfVVWFqqoqOByOvIS106dPw2KxoL6+PufPTZRv/OSljFx22WXo6urCq6++imuuuUbv5hAV1JIlS/Dqq69ienoadrs9o3MikYgapCYnJ+NuE8NWqmFFQgg4HA5UVVWhtrYWy5cvn3NFWntVuhSHERFR/hmNRjUQZUopSqLtYU/sfZ+amkJ/fz98Pl/KwjlKWFNe3+l0orq6Wr1fXV2t3s/0gpCUEqdOncKSJUv4N49KEgMYZWTp0qVYsmQJ9u/fj40bN8JsNuvdJKKCWbp0KV599VWcPn0aK1euhM/nw+TkJCYmJjA5OZl08/v9KZ9PG6paW1vjvpxorx7b7XbOkyIiXZjNZng8Hng8nnkfm64nX3u/t7cXPp8v5fp3NptNDWTJNpfLhaqqKkxMTMDn83H+F5UsBjDKiFKS/umnn8aBAwdw8cUX690kopyLRCJqsNJuw8PDAIAf//jHKdeSEkKoV3aXLl2qXtlNvHU6nSxnT0RlRQihzhGdb0hgNBqF3++fMzJAezs0NIQTJ06k7FWz2WwAgPfeew8///nP4XK54HK51JDmcrl4oZiKGgMYZey8885TS9JfdNFF7PankhKNRjH1/7d358Fxn/d9x9/P4j4ILO5rd0FSEknxPiSSIChbVuxItXI4TcfOOI0tOWlaNxnXSWZSp/WMnWlmEscTJ47TphnbsRs3dqymzWlbjh0dEcFLIiGFhCyGFkXsLu6LIEDixtM/9tDiJLDY3d8en9fMbxbcfXbxxezDBT6/33NMTjI+Ps7t27cZHx+Pfh05JicnV31uZGify+XiwIED0V/ysWdmy8vLdbVKROQeXC7XhoZDWmujow1ij9u3b3Pjxg2mp6cZHh5ec35uSUkJlZWV0UAW+bqyspLKykq2bdumk2HiGAUw2bC8vDweeughnn/+eW7cuMF9993ndEkiUXNzc9y6dYvx8fHo7fKgtdrZ1OLiYioqKmhsbIz+ol5+FBUV8fWvf51AIMBP/uRP6uSDiEiSGWOiQW35FiBf+tKXcLlcfOxjH2Nubo6JiYkVJ9Qi9wWDwVWHhEdePxLIYg+3201lZWX0SptIoimAyaY89NBDvPTSS1y4cEEBTFJqdnaWsbGxJSEr9uvVfsHm5eVRUVGB2+2mtbV1xRnQyspKCgsLN/T9PR4P169fZ2RkhNra2kT/eCIisgHz8/P09/ezd+9eIDRXrbq6murq6jWfMzc3Fz0ht/zE3Pj4OAMDA6uu+lhUVBSdBxcJZrFHOizHL5lJAUw2pbS0lAMHDtDZ2cnIyAg1NTVOlyRZYn5+nvHx8WjIitxGvp6amlrxnKKiIiorK/F4PCvOXLrdbsrKyhL2yzEy2TsYDCqAiYg4pL+/n4WFhU3t/1VQUEBNTc2af7NYa5mamoqe1IsdSTE+Po7f71/zd1BsIKuqqqKqqir6teahyVoUwGTTTp48SWdnJ+fPn+fJJ590uhzJENZa7t69y9jYGGNjY4yOjkbD1djYGLdv317xnMLCQtxuN16vd8WZR7fbveEl4ROhubkZCAWww4cPp+z7iojI2yJzvrxeb8JeM7LlR2lpafSzfrmZmZnoScLYURhjY2N0d3dz7dq1Fc8pKyuLhrLYo7q6mvLycl09y2EKYLJp9fX17Ny5k9dee43HHnsspX8ES3qz1nL79m1GR0ejR2zgmp2dXdLeGIPb7aa2tpb7779/yZnDqqoqSkpK0uYXVHFxMXV1dUnbkFlERO4tGAySn59PQ0NDSr9vUVER9fX11NfXr/r49PT0kpOKsaM5+vr6Vuz3mJ+fHw1jscGsuroat9utRZ2ynAKYxOXEiRPcuHGDy5cv097e7nQ5kkLWWsbHxxkdHWVkZGRF2Fr+S6awsJDq6mruu+++Jb9kqqqqqKyszKhfMh6Ph1dffZXZ2dkNzx0TEZHECQaDNDU1pd0KhsXFxTQ2NtLY2LjiscjJydhwFjkx6ff7V1w9c7lcVFZWRgNZTU3NknCWbj+7bJ4CmMTlgQceoKamhosXL3Ly5El9GGSZyPK/IyMjS45I0FoesoqLi6mpqWHv3r1LzuJVV1dTWlqaNlextsrj8dDZ2UlPTw87duxwuhwRkZwSWdkwsgBHpjDGROcpb9++fcXj09PTK05mjo6O0t/fz5tvvrnitaqqqqKhLDK3raamhoqKiqz5fZvtFMAkLpGNmb/97W/zgx/8gP379ztdksRhdnaW0dFRhoeHoyEr8vXy4YJFRUXRkLX8rFyuDEONXYhDAUxEJLUiQ8Ajn8XZori4mObm5lXnn83MzDA2NrbkJOjIyAi9vb1cv359Sdv8/Pwlgaympoba2lpqamq0pH6aUQCTuB06dIjnnnuO8+fPK4ClMWstExMTDA8PR49I0Fq+8EVeXl50uODyM2vZdCUrXnV1dRQVFWkemIiIA7I1gK2nqKhozaGN09PTK0apDA8Pc/36dV5//fUlbcvKyqJhrLa2Nnq43e6c/93uBAUwiVthYSHHjh2jo6ODQCCQ0BWJZPMWFxejH76RY2hoiOHh4RVXs7Zt20ZtbS27du1acoYs0+ZkpZoxhpaWFoLBINZa/dISEUmhYDBIRUUFFRUVTpeSFoqLi2lpaVmxJH/kxOvykS3Dw8N0d3cvaRu5ahYbyurq6rTNUJIpgMmWHD9+nLNnz3L+/HkFsBSZn59ndHSUoaGhJcfIyAiLi4vRdi6XK3o1a/mHa1FRkYM/QWbzeDzcuHGDsbGxdTf+FBGRxFlYWKC3t5ddu3Y5XUraM8ZEg+ry4fJzc3PRvyFig9m1a9fo6upa8hpDQ0OR/TR/FHjRWjuT4h8laymAyZZUVFSwb98+urq6uHXrFm632+mSssbCwgIjIyMMDg4yODgYvaI1MjKCtTbarqCggNraWvbv3x89c1VbW0tVVZUWR0mCyImGYDCoACYikiIDAwPMz8/n1PDDZCgoKKChoWHFMv7WWm7durVk9Izf748M+/wugDFmBhgC3gQ6gZeA71lrJ1L7U2Q+BTDZsra2Nq5evcqFCxd4/PHHnS4n4ywuLjI2NhYNWpFjdHR0yRWtwsJC6urqOHToEHV1ddGjsrJSQ+FSKDLUIxgMcvDgQYerERHJDcnYgFneFlldsaqqigceeACAjo6OyMPfBR4AGgFP+Hgn8PHwc+eAEeAG8Dlr7f9NafEZSAFMtqy5uRmfz0dnZyePPvqohretwVrL5OQkAwMDDAwMMDQ0xODgIENDQ8zPz0fbFRQUUFdXx4EDB6ivr6euro76+notL5smSkpKqK2t1UIcIiIpFAwGycvLW3UxCkmempoarLVPRP5tjMkD2oB3AQ8Du4EmQuGsETgPKIDdgwKYJMTJkyd55pln6Ozs5OTJk06X47jZ2VmGhoaiYWtgYIDBwUGmpqaibVwuF7W1tezZs4f6+vrooRWJ0p/H4+G1117ThswiIikSCARoamoiP19/ujrJWrsAnAkfUSb0h8thoN+BsjKOerEkxO7du6mqquLChQscP348Z1bSs9YyPj7OwMAA/f390bA1Ojq6pF1FRQUej4eGhoZo0KqtrdUcrQzl8Xh49dVX6e3tXXVTTRERSZzJyUlu3brFnj17nC5F1mBDk9M7na4jUyiASUK4XC5OnDjBs88+yxtvvJFxu9RvxPz8PIODg9GwFQlcMzNvLwoUmdy6ffv26CTXhoYGbYCYZWI3ZFYAExFJrlzc/0uymwKYJMyRI0d44YUXOHfuXMYHsKmpqWjIihxDQ0NLVh+srKxcEbSqq6s1fDAHaENmEZHUCQQCgBbgkOyhACYJU1hYyNGjRzl79mzGbMwcWRijr6+Pvr4++vv76evrY3x8PNrG5XJRX1/PoUOHaGhooLGxkYaGBkpKShysXJzkcrloaWkhEAhoQ2YRkSTTBsySbRTAJKFOnDjB+fPn03Jj5sh8rUjYihx37tyJtiksLKSxsZHdu3fT1NREY2MjdXV1mqslK2hDZhGR5ItswLx7926nSxFJGAUwSajIxsxXr15lbGyMqqoqR+qIbCjY19dHb29vNGzFrkJYUlJCU1NT9GhsbNQQQtmwyAmGQCCgACYikiT9/f3agFmyjgKYJFxbWxtXrlzhwoULPPHEE/d+whZZa7l9+za9vb3RY3nYKisrw+PxLAlc2ldLtiLyx0AgEODQoUMOVyMikp20AIdkIwUwSbimpia2b98e3Zg50SsATk5O0tvbS09PT/QKV+wwwtiw1dzcTFNTE9u2bVPYkoQqLi6mrq5OC3GIiCRRMBgkPz+fpqYmp0sRSRgFMEmKtrY2vvGNb3Dp0iXa29vjfp2ZmZlo2Ipc3YpdICMyjLC5uTl66MqWpEpkP7CZmRmKioqcLkdEJOtENmDWXGzJJgpgkhQPPPAAtbW1XLhwgZMnT27og3NhYYHBwUGCwWA0dA0NDUUfLygooKmpiQcffJCWlhaam5upqqpS2BLHeL1eOjs76enpYefOnU6XIyKSVW7fvs34+Dj79u1zuhSRhFIAk6QwxnDy5En+/u//nqtXr66YIxNZkTAYDNLT0xMdTjg/Px99fkNDA8eOHYuGrbq6OlwulxM/jsiqIgtxBINBBTARkQSLDPFOt1WVRbZKAUyS5uDBgzz33HOcO3eOPXv20NfXRzAYjIauycnJaFu3283u3btpaWmhpaWFpqYmCgoKHKxe5N5qamooLi6ObhIqIiKJE/ls1QIckm0UwCThrLWMjY0RCARwu9309vbymc98BmstENprq6WlhcOHD+PxePB4PJSVlTlctcjmGWPwer3akFlEJAkCgQBVVVWUl5c7XYpIQimAyZbNzc3R09NDMBgkEAgQDAa5e/fukjbl5eW8853vxOPxaCihZBWPx8P169cZHh6mrq7O6XJERLLC/Pw8fX197N+/3+lSRBJOAUw27fbt2wQCAfx+P8FgkP7+fhYXFwEoKiqipaUFr9cbvbr1/e9/n0uXLuHxeGhoaHC4epHEit2QWQFMRCQxent7WVxc1PBDyUo5F8CMMZ8DfgV40Vr76DrtngB+AzgKzAMdwKestZfWaP9L4detBV4APm6tvZnI2p2wuLjI4OAgfr+fQCBAIBBYsgx8dXU1Bw4cwOv14vV6qaurWzEMq62tjUuXLnHu3Dne9773pfgnEEmulpYWjDEEAgGOHj3qdDkiIlkhMv9LC3BINsqpAGaMeQj42AbafQT4MvAF4KeAUuAPgbPGmMettS8sa/8LwG8DPw5cAf4Y+K4x5rC1diqhP0SSzc3NEQwGlwSu2dlZAPLy8mhubmbfvn3RwLWRuVs1NTXs2bOHK1eu8Nhjj1FRUZHsH0MkZQoLC2lsbNRCHCIiCRQIBCgsLKS+vt7pUkQSLmcCmDEmH/gS8DJwcp12LcB/By4C/8mGVo4YNcb8HPAm8GfGmAestTMxT/t54M+ttS+GX+PjQC9wGvheEn6chLl79y5+vz969PX1RYcTlpSUsGPHDrxeLz6fj6amJvLz4+syp06d4o033uDChQu85z3vSeSPIOI4j8fDyy+/zN27dyktLXW6HBGRjGatJRgM4vF4NGdcslLOBDDg14FthIYVfnuddh8FioGv2MiyfYC19o4x5puErqD9G+DPY55jABvz78WY+9PK+Pg43d3d+P1+uru7GR4ejj7mdrujwwl9Ph+1tbUJW9UtMifs0qVLvOMd76CoqCghryuSDrxeLy+//DLBYJBdu3Y5XY6ISEYbGxvjzp07mv8lWSsnApgx5gHgk8BPEJrPtZ4nw7fnVnnsHKEA9iRLA9jXgf9mjPkGcBX4fUJXy85soewts9YyOjpKd3d39Iidv9XQ0MDDDz9Ma2srPp+Pbdu2JbWeU6dO8cwzz3D58mXa2tqS+r1EUsnn8wHg9/sVwEREtsjv9wOa/yXZK+sDmAldwvki8E1r7feNMY+u0zYP2Bv+581VmkTuO7Ds/i8Qumr2Z0A18BLwuLX2LilkrWV4eJibN29GA1dks2OXyxWdvxUJXMXFxaksj927d1NdXc358+c5fvw4eXl5Kf3+IslSUVHBtm3bCAaDTpciIpLxtAGzZLusD2DALwAPAv96A22rgELAWmvHV3n8Vvh2yVrq4aGKvxs+UsZay+DgYDRs3bx5M7r/Vl5eHh6Ph6NHj9La2orH46GwsDCV5a3gcrloa2vjW9/6Fl1dXRw8eNDRekQSxRiDz+fj2rVrLCws6OSCiMgWBAIB6uvrU36iWCRVsjqAGWOaCIWij1prRzfwlJLw7dwaj8+Gbx2bZT8/P8/FixejV7kigaugoCA6d2v79u20tLTEvWBGMh06dIjnn3+es2fPcuDAgYTNMRNxmsfjoauri/7+flpaWpwuR0QkI01PTzM0NMSxY8ecLkUkadLvL/TE+iPgrLX2LzbYPrJkfMEaj0cuIaV0aGHE/Px8UW9vL9/5zneigau1tTUauDLhrHtBQQHHjx/nhRde4M033+T+++93uiSRhIjdkFkBTEQkPtr/S3JBxgcwY8x24K1ld3cDHwd+FNi3iZcbI3SVq9AYU7nKMER3+HZg04XGwRizi9AS908Au9/97ncXzc/P8/TTT2dM4FrNww8/TEdHB2fPnlUAk6zR2NhIfn4+gUCAkyfX3OlCRETWEQlgkcWNRLJRxm+uYK29aa01y47twPuAcqDbGGMjB/B8+KnvjLn/0+HXWgBeDz++Y5Vvtz18eyUZP4sxZqcx5reNMZ3GmCngGqHl8w8CuFyuqZqaGnw+X8aGL4DS0lKOHDnCW2+9RV9fn9PliCREZN6l3+8nZgcLERHZhGAwSFlZGW632+lSRJIm4wPYWqy1T60SzAzwrnCTF2Pu/3TMUyN7hK12CrttWZstM8acNMZcNsbcJbR0/SeAw4Tem6vA54B91triysrKH2TLjvBtbW0YYzh79qzTpYgkjNfrZXJycsl2DyIisjGLi4sEg0F8Pp/miEtWy9oAtgX/E5gGnjYx//uNMWXA+4Eg8JcJ/H75wBEgD+gCPg/st9YWWWsPWGt/zVr7+rqvkIHcbjf79u2jq6uLsbExp8sRSYjInIXIHjYiIrJx/f39zM3Naf6XZD0FsGWstQFCmy0fBz5vjKk2xrQAXwNqgKestdMJ/H5ngIPhwLXfWvtxa21Xol4/nZ06dQprLefOrbbntUjmiexZE5nDICIiG6cFOCRX5EwAM8Z8da05YMvbWmu/CLyX0JUpP6ErU8XAKWvtPya6NmttUuaUpbumpiZ27txJZ2dndDl9kUxWUlJCXV2dApiISBwCgQD5+fk0NTU5XYpIUuVMAFtrTlh4Xthq7b9jrX3EWlturXVba99rrX0l1XVnu/b29ujeZiLZwOv1MjAwwPR0wi6Ui4hkPWstfr8/o1d5FtmonAlgkp527NhBY2MjFy9eZHZ29t5PEElzkaWTg8Ggw5WIiGSO8fFxJiYmNPxQcoICmDjKGEN7eztTU1N0dnY6XY7IlmkhDhGRzYt8ZiqASS5QABPH7d27l6qqKs6dO8fCwoLT5YhsSVVVFeXl5ZoHJiKyCVqAQ3KJApg4zuVy0dbWxvj4OF1dObEApGQxYwxer5eenh6dUBAR2aBAIEBdXR0lJSVOlyKSdApgkhYOHz5MaWkpHR0dWLtiYUqRjOL1epmbm2NgYMDpUkRE0t709DQDAwO6+iU5QwFM0kJBQQEnTpxgcHCQH/7wh06XI7IlkYU4NA9MROTeIosWRT47RbKdApikjYcffpiCggI6OjqcLkVkSxobGykoKNA8MBGRDYicrFIAk1yhACZpo6SkhGPHjtHd3a0/XCWj5eXl0dLSgt/v15BaEZF7CAQClJeX43a7nS5FJCUUwCSttLW14XK5dBVMMp7P52NycpKxsTGnSxERSVsLCwsEg0F8Ph/GGKfLEUkJBTBJKxUVFRw8eJBr164xNDTkdDkicYtMJtfVXBGRtfX39zM/P68FOCSnKIBJ2mlvbwfQVTDJaF6vF2MM3d3dTpciIpK2NP9LcpECmKSd2tpaHnzwQa5cucL4+LjT5YjEpaioiIaGBl0BExFZh9/vp6CggMbGRqdLEUkZBTBJS+3t7SwuLnLu3DmnSxGJm9frZXh4mLt37zpdiohI2rHWEggE8Hg8uFz6k1Ryh3q7pKWWlhZ27NjB5cuX9cerZCztByYisrbR0VHu3Lmj4YeScxTAJG21t7czNzfHhQsXnC5FJC4KYCIia9P8L8lVCmCStnbu3ElTUxMXL15kZmbG6XJENq2iogK32615YCIiq/D7/Rhj8Hg8TpciklIKYJK2jDGcPn2a6elpLl265HQ5InHx+Xz09vYyNzfndCkiImnF7/fT1NREYWGh06WIpJQCmKS1PXv2UFNTw7lz55ifn3e6HJFN83q9LC4u0tPT43QpIiJpY3JyktHRUe3/JTlJAUzSmsvlor29ncnJSV577TWnyxHZtNbWVkDzwEREYmn+l+QyBTBJewcPHqSiooKzZ8+yuLjodDkim1JbW0tJSYkCmIhIDAUwyWUKYJL28vLyOHXqFKOjo3R1dTldjsimGGPwer0EAgGdQBARCfP7/VRXV1NeXu50KSIppwAmGeHo0aOUlpbS0dGBtdbpckQ2xefzMTs7y8DAgNOliIg4bnZ2lv7+fl39kpylACYZoaCggBMnTjAwMMD169edLkdkU7QfmIjI2wKBANZaBTDJWQpgkjGOHz9OUVERZ86c0VUwySjNzc3k5+crgImI8PbJqMgiRSK5RgFMMkZxcTEPPfQQgUCA7u5up8sR2bC8vDw8Hg9+v18nD0Qk5/n9fsrLy6mqqnK6FBFHKIBJRjl58iT5+fm89NJLTpcisik+n4/JyUnGxsacLkVExDELCwsEg0F8Ph/GGKfLEXGEAphklPLyco4cOcKNGze0sa1kFM0DExGBvr4+5ufnNf9LcpoCmGSc9vZ2XC4XZ86ccboUkQ3zer0YYzR8VkRyWuQzUAFMcpkCmGScyspKDh48yBtvvMHg4KDT5YhsSGFhIY2NjboCJiI5ze/3U1RURENDg9OliDhGAUwy0unTpzHG6CqYZJTW1lZGR0eZnJx0uhQRkZSz1uL3+/F6vbhc+hNUcpd6v2Skmpoa9u7dy9WrVxkdHXW6HJENiQy50TBEEclFg4ODTE9Pa/ih5DwFMMlYjzzyCNZaXQWTjKGFOEQkl2n/L5EQBTDJWA0NDezatYvXXnuN8fFxp8sRuaeysjJqa2sVwEQkJ3V3d5OXl0dzc7PTpYg4SgFMMto73vEOFhcXOXv2rNOliGyIz+ejv7+f6elpp0sREUmZyPyvlpYW8vPznS5HxFEKYJLRWlpa2LlzJ5cvX9bCBpIRIkNvdBVMRHLJrVu3mJiY0PBDERTAJAs88sgjzM/Pc+7cOadLEbknBTARyUXa/0vkbQpgkvFaW1vx+Xy88sorTE1NOV2OyLoqKyuprKzUSogiklO6u7sxxuD1ep0uRcRxCmCS8YwxPPLII8zOznL+/HmnyxG5p9bWVnp7e5mbm3O6FBGRlPD7/TQ2NlJUVOR0KSKOUwCTrHDffffR3NzMxYsXmZmZcbockXX5fD4WFxcJBoNOlyIiknQTExOMjo5q/pdImAKYZIXIVbDp6WkuXrzodDki64r8EaJhiCKSCyKfdQpgIiEKYJI1du/eTUNDA+fPn2d2dtbpckTWVFNTQ1lZmRbiEJGcEPms0wIcIiEKYJI1IlfB7t69yyuvvOJ0OSJrMsbg8/kIBAIsLCw4XY6ISFJ1d3dTV1dHaWmp06WIpAUFMMkqDz74ILW1tZw7d04LHEhaa21tZX5+nt7eXqdLERFJmqmpKQYHBzX8UCSGAphkFZfLxSOPPMLk5CSXL192uhyRNWkemIjkAs3/EllJAUyyzv79+6murqajo4P5+XmnyxFZVX19PcXFxZoHJiJZTQFMZCUFMMk6LpeL06dPMzExwauvvup0OSKrcrlc+Hw+/H4/i4uLTpcjIpIUfr+fqqoqtm3b5nQpImlDAUyy0sGDB6msrOTMmTNa5EDSls/nY2ZmhoGBAadLERFJuJmZGfr6+nT1S2QZBTDJSnl5eZw+fZrx8XH++Z//2elyRFaleWAiks0CgQDWWgUwkWUUwCRrHT58mIqKCl566SUN8ZK01NTUREFBgQKYiGQlzf8SWZ0CmGSt/Px82tvbGRsb48qVK06XI7JCXl4eXq+X7u5urLVOlyMiklDd3d1UVFTgdrudLkUkrSiASVY7evQo5eXlugomaau1tZWpqSmGhoacLkVEJGHm5ubo6emhtbUVY4zT5YikFQUwyWqRq2AjIyN0dXU5XY7ICpoHJiLZKBgMsri4qOGHIqswGvaSOd7//vePFBYWVre0tDhdSkax1jI4OIjL5aKurs7pckSWsNYyMDBAcXGxhulkAWvtkiNyX+xjq329kdv1vl7vvlgzMzMAFBUVrdtu+RWL9f4d+Xr5beTr1R5f7+vVXkcyz+TkJBMTE9TV1ZGfn+90ORKHnp4eCgoK+MpXvqL/jAmm/xGZ5XZBQUG100VkGmMMNTU13Lhxg6mpKXw+n9MliUQZY3C73fj9fubm5nSSIMPFBoh01NnZCcCRI0ccrkSy3dTUFBMTE1RVVSmAZaiCggKKi4u1l08S6AqY5ARjTBkwDligwlo75XBJIlHGmL1AF/CqtVZ/GUvSGGPuAFhry5yuRbKbMeZV4BDwoLX2DYfLEUkrmgMmOcFaewd4htBV3y84XI7IEtba14FZYI/TtYiIJMhuYFbhS2QlBTDJJf8eWAA+ZIxZfwKESOr9ECg2xmx3uhARka0wxuwEioHrTtciko4UwCRnWGsngL8CCoDPOVyOyHLPh2+fdrQKEZGt+0j49vl1W4nkKM0Bk5xijKkChoF5oNxaO+dwSSIAGGOOAa8AL1trjztdj2QnzQGTVDDGvAw8BBy11nY6XY9IutEVMMkp1tox4O+AQuCzDpcjEmWtvQTMAXudrkVEZIv2AnMKXyKrUwCTXPTzwCLwH4wxeU4XIxLjJlBmjGlyuhARkXiEP79KgbecrkUkXSmASc6x1o4AzwJFwO84XI5IrBfCtx92sggRkS2IzP96wckiRNKZApjkqo8Q2hPsl00675oqueZr4dsfc7QKEZH4vTd8+7V1W4nkMAUwyUnW2gHge4SWyf1Nh8sRiThDaKuEA04XIiISpwPAgrX2jNOFiKQrBTDJZR8Bvg78ntOFiADY0LK0fqAivGKniEjGCH9ubSP0OSYia9Ay9CIiacQY827grrX2rNO1iIhsljHmFFBqrf2+07WIpCsFMBERERERkRTREEQREREREZEUUQATERERERFJEQUwyVjGmA8YY141xmgcraQd9U9JNPUpSRX1NZHk0hwwyWjGmEeB56212stL0o76pySa+pSkivqaSPLoCpiIiIiIiEiKKIBJ0piQHzfG/IUxxm+MmTXG3DLG/JMx5ue22n7Zc3/MGPO3xph/McZ8YZ12FcaY3w+//nS4/SeNMQVbaR87XCNcy98ZY94yxvxXY0ylMebLxpjLxpjvan+n9BBH/3QZY95jjPmCMabTGDNqjLltjOkyxnzWGNO8zvdS/5R1xfHeJ6VPbeY56leZyxhTa4z5Zvi9e+oebdXXRBLNWqtDR1IO4JOABb4HHAFKgQeBvwnf/6dbaR9+zqPhx349/O9aYAp41yptK4ArQBA4DZQAPwVMAt8G8rbYPlLLr4b/vQtYBP4o/LO4gA7gU06/Nzri6p+14fuvAT8ClAN1wL8DZoABwKP+qSOOvrjh9zKZfUr9KjcO4KfDn1dj4ffuqTXaqa/p0JGkw/ECdGTvAfwW0A+UL7u/EHgz/EH6WLztw49FPpC9MfddBn5llXq+EG773mX3/1r4/v+4xfaRWjwx9w0Cn4z592eBv3b6vdERV/+MBLC2VV7r8+HHfnONPqH+qWO9vrjh9zKZfUr9KvsP4KNAL/Ak8FU2FsDU13ToSPChIYiSTD3A/7LWTsbeaa2dJXTVAeDdW2gfqzfm69uEzqxFGWO2Ab8A9AHfWfbcrxL6UP+VeNsv0xfz9d1l/74DVK7xPEmtzfa3ceBdwIVVXut6+Na9xvdS/5RVbeG9TGif2mItoH6VKa4A+6y139rEc9TXRBJMAUySxlr7x9ba/7zGwxPhWxNv+2Xfa2HZXcvbPQYUAxestXbZc0eAfwHuN8bsirP9erXcqzZxQBz9c85a+4K1dnGV9ifDt/+4xvdS/5S1xPVeJqFPxV3LGvWoX6Uha+0Za+3YJp+jviaSYApg4pTIh+o/Jan9cgfCtzfXeDxy/4FltxttL9nlnv3NGFNsjNltjPld4AOEhh/+bZzfT/0zdyXrvYznddWvJB7qayKblO90AZJ7jDHVwONAJ/BsotuvoTF8u9aZv1vh24Y420uW2Eh/M8Y8wdvDZnqBDwHf3MK3Vf/MXcl6L+N5XfUriYf6msgm6QqYOOF3CY3v/tDyoQebaW+MeRL4g/DXLxhjqo0xXwEOA08ZYz4R8xol4du5Nb7HbPi2NJ72a9TyD4R+yXzCGPNBY8yvAk8Bh40x/2e9H1gcdc/+aa19FsgD7iP0vn8ZeNYYUxNpo/4pG7Th9zLJfWrTz1G/yl7qayLJpStgklLGmJ8l9AH5fmvt1a20D08iXj6R+OnwsdxU+Hat/UgKw7d342m/Ri0/usrzPrfG60ka2Ez/DM8FuwF81hgzDfwhodUQ/234cfVP2YgNv5dJ7lObfo76VfZSXxNJLl0Bk5QxxrwH+BLwi9ba/5fo9vfQH75da4NGd/h2IM72kuG22N++HL79oDGmLI5vr/6Zu5L1XsbzuupXEg/1NZFNUgCTlDDGvBv4a+CXrLV/muj2G3AlfLtjjce3L2u32faSwbba36y1d4EhQqtv3RdHCeqfuStZ72U8r6t+JfFQXxPZJAUwSTpjzI8Q+uP2Y7F/3Bpj9hljPrDV9hv0HDADHDfGLFmiNjxvZxfwprX2X+JsLxlqo/3NGPNJY8yqV8aMMYVAdfift+MoQ/0zdyXrvYznddWvJB7qayKbpAAmSWWMeQz4G+Dj1tovL3v4YeCjW2m/UdbaCULDxJqAf7Xs4acIXbn4g3jbS2baZH/LBx4xxrhXeakPElqU43Vr7c3N1qH+mbuS9V7G87rqVxIP9TWRzTMbW4ROZPOMMe8iNGl2HHhxlSY7gClr7aPxtI+jnkrgLFAJ/AxwCXgC+LPw/U9aa+fjbS+ZJY7++Sng00AH8BvAq0A58D7gM4ROaD1ure2Isx71zxyVrPcyntdVv8odxpivAh8GnrbWfnWLr6W+JrIJCmCSNDEf7ut5MeYP3E21j7OmSuA3gZ8G6gE/oQ/7z1hrZ7faXjJHHP2zBPgJQpsu7wU8hK56BYB/BD5rrb2xxZrUP3NUst7LeF5X/Sp7GWO2A2+t8XC3tXb7Fl5bfU1kgxTAREREREREUkRzwERERERERFJEAUxERERERCRFFMBERERERERSRAFMREREREQkRRTAREREREREUkQBTEREREREJEUUwERERERERFJEAUxERERERCRFFMBERERERERSRAFMREREREQkRRTAREREREREUkQBTEREREREJEUUwERERERERFJEAUxERERERCRFFMBERCRjGGNuGmPsGseiMWbIGPNXxphjG3itvww/7/2pqF1ERATAWGudrkFERGRTjDEWwFprYu5rAN4H/AGhE4zvstaeXeP51UAfUAh821r7ZJJLFhERAXQFTEREsoS1dsBa+yfAHxEKVr+1TvMPApPhrx8PhzcREZGkUwATEZFs0xG+Pb5Omw8DnwO6gDzgZ5NdlIiICCiAiYhI9on8bptZ7UFjzD7gGPDnwP8O3/3hFNQlIiKiACYiIlmnLXzbscbjTwEd1tqbhEKYBQ4aYw4lvzQREcl1CmAiIpIVjDH1xphfBH4ZeAv4tVXaRIYbfg3AWhsAXgw/rKtgIiKSdFoFUUREMk5kFcRV3AH+C/Cn1trJ5Q8aY94L/BXQaK0dC9/388CXgAHAY62dT07VIiIiugImIiIZzFprwkvRlxG6slUA/DpQvcZTngK+FQlfYX8JTAMNwOPJq1ZEREQBTEREsoC19q619uvA7wAthPYCW8IYUwX8BG8vvBF57jjwd+F/ahiiiIgklYYgiohIxlltI+bw/duAbsANHLTWXo157KPA/7jHS88QGp54K5H1ioiIROgKmIiIZA1r7QShjZgN8IllDz8FfDYybDH2APKBHqAI+EAqaxYRkdyiACYiItnm84QW4/gZY8wOAGPMg8DDwJ+s9gRr7QLw5fA/P5SKIkVEJDcpgImISFax1o4AXwTyCC3IAaG5Xf9grX1znad+EVgAThljHkhulSIikqs0B0xERDKGMeYm0Lr8/lXmgrUAN4DCVV5mR3gT5tj2nwY+tazdi9baR+OvVkREZCUFMBERERERkRTREEQREREREZEUUQATERERERFJEQUwERERERGRFFEAExERERERSREFMBERERERkRRRABMREREREUkRBTAREREREZEU+f/ZxQI339rhIgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 288,
       "width": 432
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = WCS(naxis=2)\n",
    "w.wcs.crpix = [0,0] # center pix doesn't matter if no image \n",
    "w.wcs.cdelt = [0.01,0.01] # also doesn't matter if no image\n",
    "w.wcs.crval = [0, -30] # approximate data center\n",
    "w.wcs.ctype = [\"RA---STG\", \"DEC--STG\"]\n",
    "\n",
    "ax = plt.subplot(projection=w)\n",
    "ax.figure.set_tight_layout(False) # WCSAxes has a tendency to cutoff ticks/labels\n",
    "\n",
    "\n",
    "ax.plot(meing['RA_ICRS'],meing['DE_ICRS'],'o',mec='k',transform=ax.get_transform('world'))\n",
    "ax.grid('on')\n",
    "\n",
    "ax.coords[0].set_axislabel('RA')\n",
    "ax.coords[1].set_axislabel('DEC')\n",
    "\n",
    "\n",
    "    \n",
    "set_xlim(330,20)\n",
    "set_ylim(-50,-10)\n",
    "\n",
    "\n",
    "#ax.set_aspect('auto')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 318,
   "id": "a8241670",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "WCS Keywords\n",
       "\n",
       "Number of WCS axes: 2\n",
       "CTYPE : 'RA---STG'  'DEC--STG'  \n",
       "CRVAL : 0.0  -30.0  \n",
       "CRPIX : 0.0  0.0  \n",
       "PC1_1 PC1_2  : 1.0  0.0  \n",
       "PC2_1 PC2_2  : 0.0  1.0  \n",
       "CDELT : 0.01  0.01  \n",
       "NAXIS : 0  0"
      ]
     },
     "execution_count": 318,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
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    "ax.wcs"
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
   "id": "bae37c8f",
   "metadata": {},
   "outputs": [],
   "source": []
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