adrn/IPL2-actions.ipynb

## IPL2-actions.ipynb
{
  "cells": [
    {
      "metadata": {
        "trusted": true,
        "ExecuteTime": {
          "start_time": "2023-08-03T19:00:57.285116Z",
          "end_time": "2023-08-03T19:00:57.467464Z"
        }
      },
      "id": "64a5dc00",
      "cell_type": "code",
      "source": "import astropy.coordinates as coord\nimport astropy.units as u\nimport matplotlib as mpl\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport numpy as np\n\n# gala\nimport gala.coordinates as gc\nimport gala.dynamics as gd\nimport gala.integrate as gi\nimport gala.potential as gp\nfrom gala.units import galactic\n\nimport agama\nagama.setUnits(**{k: galactic[k] for k in ['length', 'mass', 'time']})",
      "execution_count": 3,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Use default Milky Way model from Gala:"
    },
    {
      "metadata": {
        "trusted": true,
        "ExecuteTime": {
          "start_time": "2023-08-03T19:01:14.383590Z",
          "end_time": "2023-08-03T19:01:14.392079Z"
        }
      },
      "cell_type": "code",
      "source": "gala_pot = gp.MilkyWayPotential2022()",
      "execution_count": 4,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Convert the Gala potential to an Agama potential:"
    },
    {
      "metadata": {
        "trusted": true,
        "ExecuteTime": {
          "start_time": "2023-08-03T19:01:15.374467Z",
          "end_time": "2023-08-03T19:01:15.382306Z"
        }
      },
      "cell_type": "code",
      "source": "agama_components = []\nfor p in gala_pot[\"disk\"].get_three_potentials().values():\n    agama_components.append(\n        dict(\n            type=\"miyamotonagai\",\n            mass=p.parameters[\"m\"].value,\n            scaleradius=p.parameters[\"a\"].value,\n            scaleheight=p.parameters[\"b\"].value,\n        )\n    )\n\nfor k in [\"bulge\", \"nucleus\"]:\n    p = gala_pot[k]\n    agama_components.append(\n        dict(\n            type=\"dehnen\",\n            mass=p.parameters[\"m\"].value,\n            scaleradius=p.parameters[\"c\"].value,\n            gamma=1.0,\n        )\n    )\n\np = gala_pot[\"halo\"]\nagama_components.append(\n    dict(\n        type=\"nfw\", mass=p.parameters[\"m\"].value, scaleradius=p.parameters[\"r_s\"].value\n    )\n)\nagama_pot = agama.Potential(*agama_components)",
      "execution_count": 5,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Load IPL-2 data:"
    },
    {
      "metadata": {
        "trusted": true,
        "ExecuteTime": {
          "start_time": "2023-08-03T19:00:50.298539Z",
          "end_time": "2023-08-03T19:00:55.895133Z"
        }
      },
      "id": "34de8ac5",
      "cell_type": "code",
      "source": "tbl = at.vstack(\n    (\n        at.QTable.read(\"/mnt/home/apricewhelan/data/SDSSV/IPL2/allStar-ASPCAP-0.3.0-v6_0_9-1.0.fits\", hdu=3),  # APO\n        at.QTable.read(\"/mnt/home/apricewhelan/data/SDSSV/IPL2/allStar-ASPCAP-0.3.0-v6_0_9-1.0.fits\", hdu=4),  # LCO\n    )\n)",
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": "WARNING: MergeConflictWarning: Cannot merge meta key 'EXTNAME' types <class 'str'> and <class 'str'>, choosing EXTNAME='APOGEE/LCO' [astropy.utils.metadata]\nWARNING: MergeConflictWarning: Cannot merge meta key 'OBSRVTRY' types <class 'str'> and <class 'str'>, choosing OBSRVTRY='LCO' [astropy.utils.metadata]\nWARNING: MergeConflictWarning: Cannot merge meta key 'CHECKSUM' types <class 'str'> and <class 'str'>, choosing CHECKSUM='ZLMSeLJRZLJRbLJR' [astropy.utils.metadata]\nWARNING: MergeConflictWarning: Cannot merge meta key 'DATASUM' types <class 'str'> and <class 'str'>, choosing DATASUM='1142204417' [astropy.utils.metadata]\n",
          "name": "stderr"
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:02:49.615409Z",
          "end_time": "2023-08-03T19:02:49.662799Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "c = coord.SkyCoord(\n    ra=tbl['RA']*u.deg,\n    dec=tbl['DEC']*u.deg,\n    distance=coord.Distance(parallax=tbl['PLX']*u.mas, allow_negative=True),\n    pm_ra_cosdec=tbl['PMRA'] * u.mas/u.yr,\n    pm_dec=tbl['PMDE'] * u.mas/u.yr,\n    radial_velocity=tbl['DOPPLER_V_RAD']*u.km/u.s\n)",
      "execution_count": 9,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Convert to galactocentric:"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:03:13.769658Z",
          "end_time": "2023-08-03T19:03:13.932129Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "galcen = c.transform_to(coord.Galactocentric(galcen_v_sun=[8., 251., 8.] * u.km/u.s))",
      "execution_count": 10,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:04:02.379781Z",
          "end_time": "2023-08-03T19:04:02.423681Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "psp = gd.PhaseSpacePosition(galcen.data)\nw = psp.w(units=galactic).T\ngood_mask = np.isfinite(w).all(axis=1)",
      "execution_count": 20,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Set up the Agama action transformation:"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:09:56.686649Z",
          "end_time": "2023-08-03T19:09:58.743904Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "af = agama.ActionFinder(agama_pot)\nJs = af(w[good_mask])",
      "execution_count": 27,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "The order the actions come out in is: JR, Jz, Jphi"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:10:15.439431Z",
          "end_time": "2023-08-03T19:10:15.441672Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "JR, Jz, Jphi = Js.T",
      "execution_count": 29,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:11:37.699145Z",
          "end_time": "2023-08-03T19:11:37.961262Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt.hist2d(\n    -Jphi,\n    JR,\n    bins=(np.linspace(0, 2, 128) * 0.25 * 8, np.linspace(0, 0.5, 128)),\n    norm=mpl.colors.LogNorm(),\n);",
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x432 with 1 Axes>",
            "image/png": 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iohcDERERERHRi4GIiIiIiEAvBiIiIiIiAoWPI9nx3F7Mb/nYuDEWymVBWVeIkwXsWBjPFThkQS0WCmZhPFegmc3PQn+zm5bR+X3VFOrNmCsQzI4z4xtmc2HBb3bsfMPQAPDuxk+bsQMVnXzigh1i5z5M0NcV7vThWqZv4JOF4wG+/b4ha1cQ0Xc/wyyTXY8swBomZOYbZosamGTzRw3V+gafXXxD5y6+++4KGfuGHicqlBpmXRMVNi3XunyPvW9AvBSifP66rmXfeykM3/MRpthDOQK0E3mNMlGera7tjLL9E7nvUegbAxERERER0YuBiIiIiIjoxUBERERERKAXAxERERERgcLHkeSQNcFc3xCqqxMnCzeyaV2hXBbuXNz0CTM2FPSbMdaRF+BhXd9luoJKNNxJJp1bOI/OvxlrzBg79ixkFTUASwNdjhwdCy8fgA1Ou4Jr7NizacN0AvUNZIcJ/UUNofoGjenxIMfYJWpoj107bNowXYpPldAe82bcpnJ03w2zrqhh04k6975BW9f6o95LUYoglKtzsW8YPsq2AxNXcCDqdjKuz5owz0Hf6aJ2RI6y/nJcty4+BTBOn5nEokXzS75uRt8YiIiIiIiIXgxEREREREQvBiIiIiIiAr0YiIiIiIgIFD4uOVdH42KuUI1vCNQVjGHBoD2Z9WYsTMdRFu7sGPDr9jqv+Sq6TNa5uD6YYsYeS32Vzr+sKW3GNqS+Tact5up8zNbP9okFr7vwIl2mb1A4zDZFDUyy9bsC2cWKO32/anbCdr2mx6SWLzdKcC1qQI0J08WUrT9Mx9GowW1f5QjAhgnoRQ3VRg0ylno9rmnDhHqjrj8K33MERAtUlyOs6XIyw+CugiLs2VqOUG45wsuM63yW4znMRC1A4StqV/aoio/zihUrJmzd+sZARERERET0YiAiIiIiInoxEBERERER6MVARERERESg8HEk6Ww/OnueHjcWNYDDgkpRg6W+AVhXqIiFqljAjgWNiztDj62fdG5m07r2na3LNxDmDCqRVbGg05aelWbM1Q2SjbMOza6u02z+MCFvhp4TEgr26cb4Kt9rLEygK2pYlXYM9zyerjA4W2bUMLjvMYna0bccXM+McoTJyxH0fTN2eI4iatg06n6GOR9sWnYvRA0PR+W7rjCd4n1N5PksR6C5HF28y3GcmajB71Ks62TRNwYiIiIiIqIXAxERERER0YuBiIiIiIhALwYiIiIiIgK9GIiIiIiICFSVKJLFi8/Dzp07xo2Vo316mBbgrNpPQ5Mdqw+meG8Tm7YPfi3I23AmHR8K+s3YgfRzZsxVBYdhVS5YBaDOwXV8AaQyD5s/DDY/qwrkqkrAzsm7Wj5oxh7u/qr3Mn2rgTDs+gL4Ncau0TCVHnzPfZhj54vdh651hanA43vsw1QN8xXlvIfFtjVqBSGGbX85qje5riVWIYXtU9RKJuWohBIVrfgW4nryPU5MuSrjlOM4R1nmm7H6UphtilqJrByiVMNyibr9J/teLqZvDERERERERC8GIiIiIiKiFwMREREREYFeDEREREREBAofR7Jly9MmdOIbTnSGOD0Dl86QFwnQsmlZoNnVapwFa+Y1X2XGWHjYZVniCjPWn7ChXBZ8dvEN+rJ9dynH/O0Fez3Mb/kYnZ+dE3Y9sfPhCkwuiNvxreS6YdeoK0y+pWelnT9EcNw3oB/mXnIFiKPwDUlHDUcybN+BaAFiV+iNXY9hQpS+QeOoYU92L7LzHjVsGubZyPh+LgD8OE1UOLEcwe0wTmbQN+r6w9zzvvNHLdYQNdw/UdfDqRT0fbMFhctB3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAgUPi4532BMb8E/FHR+8w1mrK+Wdx72DfixrrSubV/c9Akz1lV40YzNTiwzYyyUCgA/w9fMWJhAMwvQ7gvsvvt2knZh4ecd3avNmOvYLW280Yyx7exL8/PJArjsOA/BdpJ22dD7bTPGgms0vNvElxk1kOUbKmYBc3Y+AEdnVnLdhwnvsv10BccZ34DhRIX+ytVx1PeYRr1u2Plk93eY/QwTAmX3Ddv3cnR9DiNKSHoiRT1O5ei0W45jcrIDtEw5nk3MRJ3jN6OoAfWJom8MRERERERELwYiIiIiIqIXAxERERERgV4MREREREQECh9HEotVeXV3ZSHKMF1MwwQeXd1ufdbDQsYA0AUbNGah3OZ8oxlzBX3nFs4zY7sKT5sxV4hxXxPvdlvMt6MuwPdpZ+oBMr/tZvy+plvoMtek7jRj7Nz1gYePWQC4vtkvEO26xnwDZezadnWAZcc0TAfaMMH1YkFgz9GJ1lUsTBjON6DnOvZRlukKrrF1sfsmaidqtn7XveR7THyfd671+16j5Qr9hdn+KMoRHg5zPUyUcnTHZqJ22mXzR72/yiHMc8i3g3vULuLl6MZcjvNZDm+2kLGLvjEQERERERG9GIiIiIiIiF4MREREREQEejEQERERERHoxUBERERERKCqRJHkciPoG9wzbmxe81VmOlYxxlXNo7dgE/tsWlZBBwDacKadllSxYdV2XFVgljbeaMY29HzbjB0gVQ2mJ8+ly9wFUoEoYyvzsHUDwD7Y48T2nVUgcFVf2pNeb8ZYVSVW9cRV/WFZ07AZO5B9zoy5jhPDzt38Fjudq6KTb4UTNr9rP1mlCTZtmCoZvveSa5m+557tZ5gqNr7Vdlx8q4Gw4wEAB9L2emLLZNXR+uB/jYSplMT4VpwJoxwVTtixc63nZFYZCXM+2D5Fve4Z3+MJ+J+7iazyxNble5yjVsZhXJ9/G3rt5y8zkdfnyazsU66qY7+t9I2BiIiIiIjoxUBERERERPRiICIiIiIi0IuBiIiIiIhA4eNIFi8+Dzt37hg3xoKILDzMgrYAML/lY17rbsnz8HF3xREzxsKJLIT5VOof6DLPb77BjLFQbmfPOjMWJlTLwnD7mmxgEuBB4z0ZGx5mXPvpe57YOZqdWEaXuTVjg8ps2iH00/l9Q6z9BXve2TkC3Neez7rDhGp9A8lhlkvPkWNeFnrk596OhQk0hxEm2Oq77igBeVc4z1UcIcr87PkQNUAble/6o55333WXYlomakibiVLEwDU/2092LbHrO8wyo4oagPUtYrC+527HFthxdpwm8rpl2+973YX5XPA9nkC06yHM+Zyo626i6BsDERERERHRi4GIiIiIiOjFQEREREREoBcDERERERGBwseRbH1ujwn80KBVrR1iXUhdWNDWhYVQmaHAhl3DdKVloWIWgnRtj2+HZtf8LGjMtinMcfYN5bJtOpCxAW8gerdXV5fmYl140Yy5umP3we4nu25d4WVfYa4n30CXb2dwIFyHarMeR2jOtws5604N+Ifxw1wjUfbThQWFw2yTb/DON+QMRAvQRr2WwwQJo4Qwo4rafbccIc4w62fY9R210205uhRHPR5hCjsw5XgOhLlufT/r2HFy7XvUoG+Ubu0TWRzgzUbfGIiIiIiIiF4MRERERERELwYiIiIiIgK9GIiIiIiICBQ+jmTBubOxauuqcWO+YR8W7gN4d08WzHF1AWXhxs5Bu64wQV0WFH6q23aLZaGeqKE/F7b9LBQ8t3CeGQsTyGLHhIVNWaDXta6ox8TVublYmLAou57ChNmiBrrK0aGTLZOFuVmQPWrXSxceSl7tNa/rnvcN45UjDF6OEGeY+X3X73reMmE6LEc59q5gZzm6tTLl6DpdjvWz6crRBRsI1x08yjLZuS9HgDVMqJeJes9HfV6WY5kTdS+FwdZVfI2fPjOJRYvmR1qPL31jICIiIiIiejEQERERERG9GIiIiIiICPRiICIiIiIi0IuBiIiIiIhAVYkiefbZHV6VPhbELzNj6wv+FSlYBQZXRYvTm+26fCs4sCo0ALCs6WYzNr/lY2aMVdthFY0AoLnQaMa68KL3/F0FOy2rFnQg6DRjrmPH9olVOmJjruoP85qv8prfhVXMidrmnl0PrPpS1PWEqb7EqgVt6VlpxnzvD4BXimDnmFW4cvFdv6vCV1/GVq+KWqUjSoUW1zlm2x+18sZEVRMJI0y1oCjLZM+HMJWvfIWp+hXm2LNj4jt/mOvT9xpxLdP3fJajCprrXop6PfkKU0HoZFZKilrJjM1/spcZlc+6VqxYMQFbcpy+MRAREREREb0YiIiIiIiIXgxERERERAR6MRARERERESh8XHIsZLa11n9+FsIcCvrNGAtRAkB7wYaKupM2lNuSt2MsuAwAfVkbmGRmJ5aZsapCNZ12c3aNGQsTEnt346fN2HAhbca2Zm2gOkzwzDc87ArD1RTqzdiBzHPe62fB2ANp//l9l7mje7UZY9cDC88CPGjMwuxhjr1vqLezZ533MmlwnOyTK0weNZDGQn++xQVc4Ua2rb4B2DBh1TB8A6NRQ4O+op63qEFd3/PhWtdEhUBd+8meBWz+MPvpayIDsK7PQB+ukHGUkHaY4HKY4+S73HIEmsPw3SfXMY7yzIlaHCDqfVx8PE+fmcSiRfO9549C3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAgUPo4kGVRjenLe604XJnzFOt2y+V1dZQ9kbTCVhYJZKJdNBwBtCd59uBjrVOsK5foeExb+BYDNaRteZsFUtk9DzbzTLQsK70nb88E6WW8FD+Wy88m4uu+yUPD5zTe84fUA/uHlMKHcXtLJO0qQz4UFml3rYR27O3vXea0nTGfVMPc3Ky7Azh3tYO7opsyOvW/wLUx36zD7zo7fRIVQw+yT73FyPYd2ph7wWs9Edb91YeejHCHncuznRIWxAf58iaoc2+obaJ7IoHDU+zuKiQyoRymCEKXTuzofi4iIiIjIhNKLgYiIiIiI6MVARERERET0YiAiIiIiIlD4OJJ0YdgryMmCwq6AHA0AN9mxp1L/QOePEvgME2C9ML7cjLGwDgvKAkBXkw1SsmCOK2TtCkoXY52XWSdp1zhbz/rU3WaMBV0BYCQYNmPsOLPgs0sXXjRj5Qh+laNTbpj5XWHbYq7AYJQuw67zuaH322aMXaP1ge0sDgBbUjagP5FdeYtFvW5c96dvN+qowVLf+cN0MQ23TbY4QDm2yTcs6vpciRosjRJmj9oROExonq1rorr3hum+O1EdgV187/tyhbxLLUxX+KjXLRP9OfLmom8MRERERERELwYiIiIiIqIXAxERERERgV4MREREREQEejEQERERERGoKtGEYBU6XNU8XNWGis1v+RgdZxVaWIUVVm3HVa2nv3DEjO3C02bMVYGIYVVbFjd9woyxCjwAr+yzIG4rMm3N2uMxPXkuXSarMMUq47D97Ar4ds4tnOe1TNd+smoJrNICq3wRpuIMq2YVphoIW38Y85qvMmM+Fb9OtE3sPO9MPWDG2L10IMvXze7bvswhOwY75po/Kt9t8p3XNb9vxRegPNU3olb78RV1meyYhpm/HPsZpuIb43s+2TPHdX9G2aeolY7CLtdHOaqLlatiWZTlhqm+FGb+cvDdz6hVoqKs+81I3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAh+C8PHq1evxhe+8IWxn7/61a/iyiuvLNnyWfgqTMjLNyTWhjPp/L6tvWng0jPsCfBg55bUSjPGQqWudbHtZMFpAOhO2vDy1rQNGrOgLwtTA+5QcrEh2JB2X5qHPR8f/LoZY6EkV5i8LWHP81CzX6jWdd2xMHxvwR57Fkh2hbTYtCzAGiZ4xsJsriAjw44JW6bvdIAjaOwZBnfNHyVgHkaYACo7z2GOve9zKOr1UI7AJjORQcJyhDOjhpfZ/c2eI2GOE1t/1ABrOcLovtsZJsAa5l7yFeZe8D0mbH7XMtk+Rb0/y3Hso+z7icZ91hPmfJzM8HLZXgy6u7vx8MMP4+c//zk6OjqQSqXQ2tqK9vZ2LF++HB/4wAdQX19frtVTXV1d+NrXvjah6xQRERERORWU5U+J1q5di8svvxx33HEHnnrqKVRWVmLRokUAgI0bN+L222/He97zHmzYsKEcq3f60pe+hP5+XpJTREREROS3WclfDB566CH82Z/9GVKpFCZPnoxVq1bhiSeewA9+8AOsX78e3/nOd1BXV4fDhw/j2muvxRNPPFHqTaAef/xxrF27dkLWJSIiIiJyqinpi8Gzzz6L2267DQCQTCbx/e9/HxdffPG4aS6//HLcd999CIIAuVwOn/rUp7B3795SboYxMDCAL37xiwCA973vfWVdl4iIiIjIqaikGYM77rgDmczxwMQ111yDOXPm0OkuuugiLF++HD/96U8xODiIu+66C9/5zndKuSnj/N3f/R0OHz6MGTNm4M///M/xs5/9rCTLzeVG0De4Z9wYC4zQTrmOTrcM7WLqyM+E6TzpMy8QrVurK9DMuhSHCWSxUDEbY8eOTefCgqkM69oMAHtq7ViY4DfrUM22iV13LDAI8EA4m5Z1bXZhnaw7B9d5z8/4nk/XdevbDTrM9c1C/11NdjtZMNO1Lte0xVz7ubTxRjO2L7BhvOmeoXWAh+HYetaT0DrA72U2FuZ4hOnkXSxMt9aoweuoXVSjBGjLFVjsSNnCDlFFDZH6ihpIPlU6Gp/s/Yxyf4ZRjvvrZHuzbVPJvjF44okn8Mwzz4z9fPXVV59w+tf+/0cffRTbt28v1aaM89xzz2HVqlUAgL/6q79CdXV1WdYjIiIiInIqK9mLwSOPPDL232eddRZmzZp1wumXLFmChoYGOn+pZLNZ3Hrrrcjn83j/+9+P3/3d3y35OkRERERE3gpK8mKQzWbxi1/8YuznhQsXvv6KKyqwYMGCsZ/LEQxeuXIldu3ahYaGBtx+++0lX76IiIiIyFtFSV4MXnrppXFlQF3ZgmJz584d++/9+/ejp6enFJsztrxvfvObAIDPfvazmDRpUsmWLSIiIiLyVlOS8PHu3bvH/Tx16lSv+dra2sb9vGfPHlxwwQWl2CTcfvvtGBkZwfnnn4+PfOQjJVmmDxbiZMFMV6dchnZBJYFHwD+IyIKlqSYbdAWALT1+HY3DhDhHMGzGWNiUHTvAv0vzhfHlZuzxHtuNGODb/+7GT5uxXcHTZswVJmfdlFvydp8O0Lk5tp2XNX3WjLWDByb3wS+8lQp6zZirEzX7JwbfaxHggVPf4Djr2gxE63hKA/8A6knH7bYC6ULexJfrG+L07SQNAOt77n7DywwTeosawKXng4Tzw3RWjdpN2Zcr8Oi7rqjbFDVYygoenOzAo29YtRwdZJ2dycuwTSfzOEftMhxm/ij76Xq2lKOTdZTOxWHmP9n3VxQleTHYt2/fuJ+nTOG/zBWbPHnyuJ9ffvnlkrwY/OhHP8L69euRTCbx13/91wiCIPIymcrKJN72tjOKRl8y042SsUkAjnYpCC0iIiIibw4l+VOigYGBcT/7Vv4pnq54OW9EKpXCnXfeCQD47//9v+Oss86KvEwRERERkbe6knxjMDg4OO7nyspKr/mKpyvFi8Gdd96J7u5uzJo1C3/2Z38WeXknMjqaxksv7R83xv7Mg/05jO+fwoiIiIiITISSfGPwalOzsYVW+C02Hh//XlK8nLB+9atf4Yc//CEA4Mtf/rL3C4qIiIiIyG+7krwY1NTUjPs5nU57zTc6Ojru59pakkTzNDo6ir/8y78EAHz4wx/GxRdf/IaXJSIiIiLy26Ykf0pU/At98S/8LsUvEFFeDL71rW9h3759aGlpwec///k3vJyoWOWQzsF13vOzJHuYCiUjCVIhhWAVZ1yVdXyrDbXBrptVNAKAvlq7/awixOKmT9D5Zyd4BaViB4JOM+aqFrC8+VYz9nzwazPGKui4tnNLyu4/q4jh2h/filC7YCslua4RhlVPeqr7H8wYuxYBoDO1zoyx68a1Tb7H5KmU/zax9bNz116wFTE2hLhn2bHr6ObVh9i2sm1yVU1hWEUPVr0pzPXA+FZsAXhFjzD75Lt+30oqrgojbJm+1Y9c6/IVtWJMGDtTD5ixxjr756xhqi/5HmfXefedP8xxYusKc+zKsU1MOSoAlWM7o/LdpjDPlom6b8pxjlmlPoBXlit+Dp0+M4lFi+ZH2iZfJfnGoLW1ddzPvb32l06muG/BG+018MILL+C73/0uAODWW29Fc3PzG1qOiIiIiMhvq5J8YzB79uxxP3d1dXnNVzxd8XJ8/dM//RMymQxisRgefvhhPPzww85pi7/NWLlyJX7605+OG7v++uuxbJnfv0iLiIiIiLwVlOTF4Oyzx39919lp/3yD6ejoGPvvZDKJ9vb2N7T+bDYLAMjlcvjlL38Zat7du3ebBm3vf//739B2iIiIiIicqkryYtDa2or58+djx44dAIBt2/w6q27dunXsvy+55BJTpcjX1772NXzta1/zmrazsxO/+7u/O/bzV7/6VVx55ZVvaL0iIiIiIm8VJXkxAID3vve9Yy8GzzzzDEZHR09YLvTo0aN48cXfhF3f+973lmpTJszixedh584d48Z8wzauwCSb3zf8CwBDQb8dLHjPTrHQYh/sGAthvrvx03SZuwIblp3ebOfvKvBANNsmtv4wutDtNR07n/NbPhZp2j3p9XR+Fmpm07J9r0/yDuSsh0Z/4YgZC3Mt+gaNXeFGdj+wMLxv0NaFbeeGnm+bMVeYnG0TO57OkDYJGrNtYkH+PRl+jdDgnmcdB1c4j123YUK9DNtOtkx2jgEeLGXXU5gALJvftX4mSuAzzLFnwoS5fc9dmPPpO22YYGnUgLqvqMFSdo249pOty3c/wzxHmKj390QtM2qg2DW/73GOGlD3XffWLC9KwRQ/m1asWOE9b1QlCR8DwJVXXjnWyXhgYADr1q074fRr1qxBPp8HcPwbhxO9GOzYsQMrV67Eli1bSrW5IiIiIiLyGiV7MZgyZQquvfbasZ/vvffesV/8iw0PD49VEQKAm266yVmqdOPGjfjQhz6EO++8Ex/5yEdMUFhERERERKIr2YsBAHzyk5/EokWLABzPGXzlK18x0+RyOdx66604ePAgAODSSy/FRz/6UecyV69ePRYuLhQK+N73vlfKTRYREREREZQwYwAAVVVVuO+++3Dddddh+/btWLlyJbZt24arrroKU6dORWdnJ+6///6xcPKSJUvwzW9+E7FYzHsdhUK4P5hfv379uG8nXq9c6bJly3D99deHWoeIiIiIyKmupC8GwPEmZQ8++CDuuecerF69Gps2bcKmTZvGTfPqnx1df/31qKg48ZcWV199NdauXYtcLocgCHDdddeF2p7Dhw+fsIRpcbnSyZMney/72Wd3mBBS1I6ELNTkGzQC/IOYriBjlPXs6F5txlyh3HrYYCzrzumyYsptZuwngw+aMRbKDRM0Yus5v/kGO2HA52f7z8KqruBaV5M9zuzYs/CwS5SuuB0pHp5i+8kC6q5j7xteZsepgRwjwD/oGyZMzjo8s26W++BXmQ0oT7d03wCuK0zOrnHWddr1HPNdf9RurVE7HzNhwuxROu2Wo9OtKzjtCv37bpNv6N/1fGB8z12YoO9EhZd9jyfgfz2EuReiXmNR7ruoxzhqF+8wfIPvYZ4Zvp3Rw1wjTHHwvGVGHxac+8Z6fYVV8hcD4HhPgptvvhk33ngjNm/ejP3796OnpwctLS2YOXMmzj//fO9vCZYuXYof/ehHePLJJ/GOd7wDixcvDrUtV155pcqRioiIiIi8jrK8GLwqkUhg6dKlWLp0aaTlnHPOOTjnnHNKtFUiIiIiIlKspOFjERERERE5NenFQEREREREyvunRG91yaAa05Pzxo2x0GKYsA4Ly7AurFt6VvL5SZBxQdx2T9xAwo2u7WQhMxbsDNMxlO2nbwdYwD9ozEK585qvostk4WnfEOXsxDK6TBbyZtvp6trckrch7e4Ku09sOleXxXdVftCMPYEf02mLuUK5LFAdFQ0ak2PvCjyyrqHsumVB25YC7xodtZsl47ufLuy+8+2W7ipsUN9s9983dAdE61IcJpzI9jNqoJk9Q13XfdSAIRNl+8N0GY7a/ZcpR1da347ZpVCOMHs5trVc+1+sHIFophwh6bDT+irHPc8Uf66dkp2PRURERETk1KUXAxERERER0YuBiIiIiIjoxUBERERERKDwcSTpwrAJXfoGCZc13UyXycJ0LMDqCtDSDrgFO8QCzayzKcBDnGz9bN2ucKNr+4vtSfMOzSysywK4B7IkFOvISF3W9Fkz5rufXXiRLpNtZ02h3oy5wuSsqy7bzw293zZj72u6hS4zk8+bMRaermokofWUXQ/g37nYhU3L7ht2f7lCb2x+dj6b841mbHN2DV2mrzCdWV3B82IsHA/w8PRQ0G/G2HXLngMAsCXFr8dSi1qYgV03vt1zXcsMFzb1K1jA7g9XaN53/VGDlaG6QYcI/fsKcy9HUY7u2r7hetf8TJht8i0E4Lruy9GFnHkzBrcnSjmO50TRNwYiIiIiIqIXAxERERER0YuBiIiIiIhALwYiIiIiIgK9GIiIiIiICFSVKJJYkEBDonXcWB9IVaLEaWZsBMN0mayKD6to4cKqdKwfsNUjWFWkD7b+pfc2+VYTCVP1hO3ngritjAMAW9OkIgap7sKq7bjsCp62g6SiUxisEsz0wgwz5qrSxKoAsWP6XyffasZ+8MqddJlsflYViZ0PViUJADb08GpFxVxVGXwrf7Btd1WEYvfCztQDZqyfVVRyVBXy5bo/aNUy8nwIU9GJVRNjlcTYfdxX678edu5dVU/CVEgx2+Q49r4VTqJWPWHbGea6ZVgFH9e8E1W5JEz1Jsa36gq7Fl3TMmz+MMcuzPEsx7EvxzJ9n0+uSkn0nNTaoYmqIBTmfEatXBW16pdvRaiola9OZgUjfWMgIiIiIiJ6MRAREREREb0YiIiIiIgI9GIgIiIiIiJQ+DiSdLYfnT0ksFokTOiPBT7Z/K5gCgsVzW/5mBk7kH3OjE2vsOFdgAcpWaiXhUCHgn66TBa2nRPMMmNb8pvo/Gz9M4JJdv6Cnd8V7GTLnJNoM2O/zPzKjNUHU+gyW/J2/EBFpxmrKdTT+VnYlh3TNUPrzZgrtN5caDRj7Hpi180+8DAbw64bV7jRNwjZhhYz5gofTydhdCZMuJ4t80Da3kssUAyABvzYtdM5aLfJFbqL+sxg2LHfF/ife98weZiQd5hgbLEw+86ChBMVwnTxvZeiBrfD8N1PFrw+lfgep6hh0zDLjHo+yxEU9g3QTuS16FucoBzbFMbJDBoz+sZARERERET0YiAiIiIiInoxEBERERER6MVARERERESg8HEkyXi9Cf6F6VjKsKAWC4G6gjEspMaCjHReR2CSBdq6muy0LETJOs0CwLsbP23Gnsj+2Iw5A6SkI/ETo3b+C+PLzVgq0UsXyYKtz2b/04yx/XSFh1lgc27+PDPGAskAMD1vuySzsC3bzwMBX+Yu2MC8b5DR1aGZdcXd0Gu7IbtCvSw0z9b/M3zNe5sY37Cr67pjQWO6TBIyDiNMh2ff8DQ7x679ZM8Ctp4w2HEK0303SiiYPUMB/nyK2j03amjxZHZB9e1oH0bUY1+O8HI5OieXY5lh7gXfdbtECQ9HFSY8zK7RqJ2TyxHcDnMfq/OxiIiIiIi86ejFQERERERE9GIgIiIiIiJ6MRARERERESh8XHLOjqdFXJ1yWQiTrscREmPde4eabcCQdeStLiTpMuub+bb6cHXfZQFY3061AO/+y+ZPFWzQmIWMAWB95idey2SB4M3ZNXSZzIGkDQWzZQLArsAeJ3btbM7Y9buCtizYygLqYYKILGjM1rMnYzs0A8Dcgg1kdxT8gvg7ulfTZbJ7iV2PvoF/gN/f08n9xULKgH+Alh1732cLED3o6xs8dxUX8O1y7Bs6B/w7H7N1u86HbzjRdS+E6dzsK0ro0PX5cTK7D7vuz8Y6e07CdHNm2Hli99zJDtD6XncTGVZl9zc7H67n0ERdY77B66jCHHv2uRLmfKjzsYiIiIiIvOnoxUBERERERPRiICIiIiIiejEQERERERHoxUBERERERKCqRJEkUIk2nDlubEvPSjMdS6yzqkAA0AI7vr7n7je2gf8Pq1TB1pMKbAWfqDp71tFxVrFmS8oeO1YpwYVVSGHzJ4JJdP4L48vNGKtqxCoQsWpQANCFF81Yf+GIGauNzaLzI2+H2Py+1XIA/+PsqjjDsPPpWzkKAB7r/qoZY9ctq8jkqiBUfG+6hKlCw9Qn/at2+Va06MscMmPtBUdVniY7xOb3rXgGOM4n7Pl08a2KFGabfKvThKliE6VijItvRSZXJRJWCYZVYvG9P1zLZNed63kd5n4o5jp2USrzuJbpe5xc+xmlOkyYayTqfvpup6uSFztOrHoUW39vgVcF8t2nqJWnoop6f0c59hNVUSkqfWMgIiIiIiJ6MRAREREREb0YiIiIiIgI9GIgIiIiIiJQ+DiSkcIAOjLrx42xQBfTXWEDpAAPfDbW+bcaZyFUFrSa23ieGRvBsPd6fINKrvDwnvR6MxYm4HYg/ZwZW9p4oxnrBj/OzORklRnblXnajLFjXFWopsvsy9oQ6IK4DcPtLuz12UQndo5d16LvcWbzu8KNLNBMA+YknA8Apzfb88QCtG0Jv0AxwM/JpFitGXuKhMlcgWZ23bF7wTU/C59d1vRZM5ZK2ND71oz/c4Cth21T5+A6Ov8ee5jode8K4rHAp2/Az/cZCvDrnl3frtCfK5zpK0qQMUzwmmH77jofbJv6YAOfrmcDO/e+6wkTsvYNdobZzzDzs3PSkbL3nW8RARdX+DmKMAFaxvdecK2HXTtRA7hsXWGusajHJIqo+xklCB+VvjEQERERERG9GIiIiIiIiF4MREREREQEejEQEREREREofFxyLDDJglssxAhE6zAJ8HAoC0U93vN173Wzrr4syMjmd+4nOSZzCzYQ/XjKbifA92kfbNhnbt4uMxOQdsIAevN2nHXPZd2MN/R+my6Tha9HCjbkPT0/g87/eK8No7N9Z0Fftp0A7z7MuimzfWeh8TDChMTY9bQn479+do11F/w6J7PjAfBjxwKL7DkA+Ifh2L67ukaze8x3m8KETV37xLDnUNQwHQsy+gaNw4QQ2bFzHSffECoLm7oCqO9u/LQZixLUdU1LA8mODrQsqOy7HpeJ6nbLzl2YAK0vFlIG/LtOh+EbFA7zvI16f0ZZZjk6D4dRjn2fyPWXmr4xEBERERERvRiIiIiIiIheDEREREREBHoxEBERERERKHw8IdoLNii0wdFxlIVVXQFexhWaLBYmrMq61bL5ozpQ0WnGXGEwFoRkIenHer5qxs5vvoEuc0bFJDPWnGs0Y1Ww57O+mXcEZqHiXYHtpjxUwedn+8+Cnc15u51dAV0k7dTLApfNBbtMVwfUhiY7PhT0mzFXR2AWuGTXA+sMHibIV1OoN2OsQ3J/wO8jdn+x8+Hq0NxFjhMLobJgpvPYewaF2XSuTtbsODOu7r1snxrr7HOMBYXDdCOOGmBlz1t2f7ieGU8V/ILOLFzo2k/2zGqsW+O1njDCbBM7zm/GwGWUTtRAeQLRvtd41O0Mcz6jHPuJ7CYcNbw8UeHnkxncLgd9YyAiIiIiInoxEBERERERvRiIiIiIiAj0YiAiIiIiItCLgYiIiIiIQFWJThpWDQPwrxjDqo6caNxMB7+qPgCvuLMlZSsVsQo6zioPtXaoY8C2lHdVsWHVfoYLaTP2/03/khlj1XYAYEt+kxmbi/PM2EgwbMZa8ry6y+asrSZChSj0wKpU9SdstZyFuIDO76okY9ZDqgKhwKdl1W1YBSDXsU8FvWaMVQAKU7XrwvhyM8YqQvVl/Sr4uLDtPJDxryTGKnyxSknVhSSdn+3Tgrg9x/tgq6O4qpixbWLVyVx8K0WxqimuZwZbZh/8qsi4toc9b8NUKJnfYitv+ZqePNd7WnZM6PFwPP99r2fXsfetkBLms4phx559rrBKP4B/RSvX5y97lvheD2EqdDFhKipFrb4URZhqOex8uM4d43s9RHUyj6dr/cXH7vSZSSxaNH9CtkffGIiIiIiIiF4MRERERERELwYiIiIiIgK9GIiIiIiICBQ+LjkW3trXZINffWkeyGIBJhZecgVwWOCSBTvDYAFF3wCQK/THAmls39sLPEz2eO/XzdjSxhvN2Ibh3WasJrChWABow5lmjAVw2fFoC+y8ALAscYUZex6/NmMsvAsAF1VdbMb25uz6WVg1EePv/e05e0y3Zm3wmwXUXeqTdvv3ZNabMVfAfSggIU4SdHaFZRkWymVYCJQFpwHHdhJtCX49sPm7Ci+asfoKfj0wHd323LHQHwuguoKhrBBAY509nx0pO52L9zY5AsXsHmGhPfYcYfe2a5t8goCv2pl6gI77YMFnF9/9DBPsZIUdXM9r31AvW78rxEmvB8+gsWt72LTnN99gxp7q/gc6f9Tws+8yfacLE/SNKmpQmPE9dxO5n75c2xQllBxmmcXTrlix4g2vNyx9YyAiIiIiInoxEBERERERvRiIiIiIiAj0YiAiIiIiIlD4OJJYkEBDonXc2PRmG2RkXXHXk3AfwEMoLBDm6qb4OAnu+XbIDNPtlQkTbmSBTxYs3Rfw8BPbJ9YZ1tUV13ebaIdl2PPJwrsA0EWOCQtCsgAqADw6YrefHWcWVt2Xd3S1jS2xywzIMknY0xWYZIEyFjR2hXfZuWfrZ2FPV2CSze8bXp5RMYmOd+btGAt+u64HFsZjIVB23bruTxZCZddymGPHsG7KriCebxf0BlKYwYUFwn0Dk2G207czuGv+qIHNKJ8BrlAuPfZk21nxCgA4kLRFGKIEr4Fox8nVoZndSztS/iHvMOvyFaWrbphuymECvOUIOp/M4PZE7rvvs+1kd1OOQt8YiIiIiIiIXgxEREREREQvBiIiIiIiAr0YiIiIiIgIFD4uORYaPECmc4XEWLCFhVU7CjzcyJbLupP6Bh4BHjrcSrrizi2cZ8Z2Jfy6zwL+2wnw4Ft9sw2bsgCsO1h61IwNI23GuitsgNUVULuw0Yb5kkHMjLEAKwCMkA66rKNwe9ye9/6AB20HczYU1Zcl5zNuz6frfLDQ4oHABhZd1xgLy7JpFzd9woyx4wHwY8K6Xg/BBqKfGP0xXSYLALfDrysswMOELCTtezxc07Kgrm/3XICH5OY1X2XGXOFlV3GEYqyzeSf4vFt6Vnqtn+2TK1wYpaMvwO8HtkzfcCLA9ylMh2nGt+v05syakq8nzLS+QV/2OQnw4ghhwqYnswNv1AAt4zofUYKxru10nRMfrueQ73aGCfX6LjPM+TiVg8aMvjEQERERERG9GIiIiIiIiF4MREREREQEejEQERERERHoxUBERERERKCqRCXHqiosbbzRjG3N+leZYFVXXNVhWAUhxlXhhPGtwpNqshWAXNU0fKt5uLAKCLMK7WastzBsxmpitioQAMyLTzVje0d77fyk4sv7mm6hy6yJ2VvsUNZWwZkUq6XzD+aSZoxVANqctdVEWLUaAEDBDrFpN6ftMl1VQ/pJJZX2vD2frEKXC6so9VTqH8yY67rZF9hKMqxaDjt3OwZsdROAV5poa7KVo1xYBaL+gr2/2HayqkAAr8TCqnyw4+S6RlhlHPbMYOcIcFdN89kmVnnKZSiw9xLbTlfVE3Y998GORa0wwp5Xzm3K2AphTJhtYutn62GVilzYcWKiVtth87vu+ajVZRi2LlalynU+2PqjVsZxVQMr5qqmFbUCkS/X+ou5qpiV477zPc5hzmeU6U60rpNF3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAgUPo4kV8h4BcVY0NgZDCVY2LWr8CKd9kDWBu9YsIUFGVkI0rV+hgVDXQE7FjZ6d+OnzVgqsOFfgAeyn8evzVhbYIOhv8zwQNQ7E5eYscag2ox1B/Y4dZFALwAgZ4eqYJe5Jb+Jzl5fYcOqLXk7xkLn3eDn03VMiy1LXGHGupq66bRdsNcjC627rnsWHF+f+YkZY9eTa5nsOKHJDv2s52tm7LImcuLA7xt2L7qKALBzwp4hLIA7i1wLAA/ys5BzH+x6XEUIWAiVBXX38Mw83abp+Rl84iLsOQLw55hvCNP1nGbnc2fqAa9lAjzc6Bu4dAUOfQOTvvMC/B5hoXUXtv4o++5aZpgQKOMb+CxH2LMcIeuoAdgw87OQte95B/jzIepx9t3OMCFrtkz2uXKyw8PFy5w7dzYWLz6v5Oth9I2BiIiIiIjoxUBERERERPRiICIiIiIi0IuBiIiIiIhA4eOSixoKYmG6fhJYdHUKZMEgtkwaKA7oIrEnbYO+DAscthd4h8q+WhKErOg0Y76BRQBogw0ab+lZ6T3/L5vs2OKKJXaQBI2rCjZQDAAjge28zALNdD0AjuYGvZbJwthhAu7sOO+t2GfGaKAXPOTNrhtXp9wu8FCzD1dofjrsPrH7hgV9N2ds12eAb//0gl0Pu5Zd6Hki19iDx/6Gzs+2n3UEZoFiFlJ2CdPBnYWaD8COsW2KGuQL05WWTXt6s//zlp073w7urs+KKIFJV8iaBY3DdNpl4+x5Xw7s+nY91333KWqwNGogOmrnY6Yc902YoC+blgWSowbM2TJ977kw63Itk+1/Oc5nsRUrVrzhecPSNwYiIiIiIqIXAxERERER0YuBiIiIiIhALwYiIiIiIgKFjyPJ5UbQN7hn3BgLhHWkeECPYWHAMJ04WRiOhTNZWNWFBQRBOp6y9bBOzC4sEB0mxMm677IwtrMrLelovLuw12vdLFAMgIZIuwIStM3z2duCFjO2Dzb8dGF8uRnbVXiaLnNOxSwzNpjzC0WxbsYA71wMEtR1XXfsGmPnaQQ2eO0KfrNrhwXxw3TsZuvaFdjj3FawYWzX/Bt6v02nLcZCmID/vcyeDa6u5uxeqgnstPTZ4ODTJR7g3YjDCNPF9PzmG8wY284w8/NAM7+eGLb/vp8rrsCkb1A4TOAyaqCZCdNpl4naKdd3mVGDvr7zRw05lyOUW45O1K5zfDI7Ekftphxme6KEkstB3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAj0YiAiIiIiIlBVokiq482mgsSBtK3Cw5L1rDqKS5hpWZWRloKtdLQVtvJGmAojvtWP2HSuaVkllM7UOjq/q0JLsT6ynyOBrWwD8Mo6XbAVhNh2Pg9erWcuzrPrJ5V1ZlRMovOzakELgwvs+oNfm7H2Aq9IkcnbEkisgg+7llwVcKbHZ5ixrsAeJ9f1wNbFKiC15O217MKuMVb1i1Xu6Bt8gS6zrclWG2qDHRsK+un8bDzM/R0FrRqW4VXD2Hkagt12V/Uldo/QY0qqm9Un+Tlm1dnocyAgQyGqk7AKKWGqifiuy1WpiF2jnT3rzBi7bl33F/tcCnPd+e5T1GPnK0y1nTAViKJUnAlTPcl3WtdzyLcCkWv+KNV6XNvO1uV7PMOco6iVH5moVYGi3B+u+U9mpSJ9YyAiIiIiInoxEBERERERvRiIiIiIiAj0YiAiIiIiIlD4OJIKxExokgVwpjfbQBgLgwFAx4Bfm3tXqAhNdqgdfkEtFnADYALWAN/+2YllZqw530iXuTlr518QJ6GiAg8Vnd98gxljgcdliSvIdDZQDADpQs6MVaHaTkjCjQthA8GuaVnQOBHwd/RkEOPLLdKXISHrBA+Gzq5qMmO9wySgnrXH/l2VH6TLfGL0x3Y95HpAgc6OqgI5zgQLJLNQLcCPyaW1S80YCz53NfkH8X23HeDXKMMCzc7gNwmcTs/bMPjjPV83Y+zeBtzH1EznCN2zY+8b1HUFEU9vtutix4Redw4sDMjW7woXLmu6+Q2vhx0jgBdMiBpQ9y0W4RIl7OoKUbL5fY/9RIVFw0zrum59t58djzD76fydwJPv/elaT5jwdRQsaOwK8jNRrx3f48TuWdfvWEzxs2V0RifOXmSf6+WgbwxEREREREQvBiIiIiIiUsY/Jeru7sbDDz+Mn//85+jo6EAqlUJrayva29uxfPlyfOADH0B9vf0KvxQGBwexefNmbN68GTt37sRLL72Enp4ejI6Oora2Fm1tbZg/fz4uu+wy/Jf/8l+QTCbLsh0iIiIiIqeKsrwYrF27FrfddhtSqRQA4IwzzsCiRYvQ0dGBjRs3YuPGjbjnnntw1113YelS+ze/b1RnZye+/OUv45e//CVGR0cBAEEQYObMmXj729+OfD6Pjo4O7N69G7t378aPf/xjnHHGGfjrv/5rXHLJJSXbDhERERGRU01QKBQcccA35qGHHsJnPvMZAMDkyZNx99134+KLLx77/48++ihuueUWDAwMIBaL4b777sO73vWukqx7w4YNuOaaa8Z+vuqqq3DTTTdh2rRp46Z7/vnn8YUvfAFbt24FACQSCXznO98JtR0rVqzA1uf2oLuzYdw4C5SxsI4r9Mewjp+uoA8LmbFusRt6v23GXN2EWbgyTAiUYceJbbsrpM26NLNgD9unNrTQZbLwMesIzMwJZtHxzvxRMxYmrLovsIE21hmVhU1d287CtgzbTnbdAMCKKbeZsb2jvWaM7Q/AuzT77rvrumOBcHaOh5E2Yyx4DfCAfGNgj9PzsJ2oAb79TNTzyQLuW/KbzJirY+j8lo+ZMfYccR2nKPenq2s0exawZysN+joCk2z9LCDu6iLO9p+FUFmxhC09K+kyfYUJe7JnK/tcCRMU9j32YYQJfjO+gc+o+xkmwPpm62oL+Ae/o4rSYdnlZB873/MZ5rz7nI8VK1YAAFatWuW1nVGUNGPw7LPP4rbbjv+CkEwm8f3vf3/cSwEAXH755bjvvvsQBAFyuRw+9alPYe/evaXcDADAH//xH+Nv/uZvzEsBACxcuBCrV6/GrFnHf5nLZDL4/Oc/P/Ytg4iIiIjIb5uSvhjccccdyGSOvxFdc801mDNnDp3uoosuwvLlywEczwPcddddpdwMVFVV4X/8j/9xwmlqa2tx/fXXj/38yiuvYP16Xg5QREREROStrmQvBk888QSeeeaZsZ+vvvrqE07/2v//6KOPYvv27ZG3IZFIoLm5GUuXLvUKNi9atGjcz+X45kJERERE5FRQsvDxI488MvbfZ5111tif6bgsWbIEDQ0N6OvrG5v/nHPOibQNF154IZ566inv6YurEQUB6UYlIiIiIvJboCQvBtlsFr/4xS/Gfl64cOHrzlNRUYEFCxZgw4YNAI5XMvrc5z5Xis3xtn///nE/z507N9T8yUK1CaVtGFxnpnt346fNWKpgg5kAD96xgFyY4NoBMsZCYq7QHxtnQUAWOHSF9vaRTBJb5oXx5XT+zZk1Zowdp+aC7bzci2G6TBasZWE2tk+D4KGiroAEGT07UQO8Ay7rJt0UrzRjqRz/1oyFiifFas3Y5CoWHLuRLpMFjathywC7OkSvz/7EjLEOtkOw16LrGusKbIfrGTEbyh3O2fCxq3tud2CDztUkKLww4Pu5F/vMGAsPs6AxCyQDwOasvRfm1HzYTpi3Q67OvdNh17UreNqMsXse4IFPdi+x55groMcCvHvsZUuDtq7tdHWTLraedKQH+PFjXVhdXY4Z9mxm2z+3cJ4ZY0F6ANiQ4kUDirk6yEYJppajy3CYACoLdobZpnJ0ymV8g8+uZfp23wX8A/JPpf7BjLHtdC3TN4wepmt0VOW4xqIGzKN2rS61kvwp0UsvvYT+/t98YLuyBcVe+4v4/v370dPTU4rN8fbwww+P/ffMmTOxZMmSCV2/iIiIiMibRUleDHbv3j3u56lTp3rN19bWNu7nPXv2lGJzvPzzP//z2J8/1dXV4e6770Y8XrZ+byIiIiIib2ol+U14377xX49PmeJXq3vy5Mnjfn755ZdxwQX8K/iohoeH0dXVheeffx4PPfTQWAWid7zjHbjzzju9v+V4rUy8B92t4/8E4m2tZ5jpXsKDdP7mbv61rYiIiIjIRCvJi8HAwMC4n6ur/Ro4FU9XvJxSeP755/GhD31o3FgikcAHP/hBXH311WV7EREREREROZWU5MVgcHBw3M+VlTYIyRRPV44Xg/r6erzzne9EoVBAX18fXnrpJQwMDODHP/4xXnjhBXz4wx/GRz/6Ue9tfq1stgJHu8a/3LhCbma7ginOsG+xMAE9Fh5jQUCGhfYAHgpm4UzWMTQMFsDZ1cSPJwslHwhsYNO3azMA/EHLZ81YIrB/bbc3Z+cfcQSaWUCwNmaDSjWxGJ1/KGfTlUdzg2ZsV84GQ1lwGeD7Pys+24xtGN5txmoCHmhm1zLrSOwKH7NzP9Rsr0cW1HWdTyaTt12vWfC6M8/P56xCuxnbW+EXKHZhx843kAwAyxJXmLFX0iNmjIXeXceO3fOs6/NI4LjuG+11zwoGsHCiKxC9J+sXFGYdfV0hTN/Qnytw6StMeJcFGXsLfmFR1zN4aaMtGsC6NrueGb7BVlcnbV++oVpXSJp91rFrjBWqAHjYlgkTFGbYfoaZnx0Ttp+u8+G7/UEQrTs3Wya7blz3V5TgNsDvO99rLOo2hQkk+2zT3LmzsXixfa6WQ0leDF5tavaqigq/6ELx3/QXL6cUZs2ahX/6p38a+zmXy+HJJ5/E3/7t32Lr1q244447cP/99+O+++7D7Nn2lyMRERERkd8GJQkf19TUjPs5neYl04qNjo6O+7m2ltSeK7FYLIZly5bhgQcewKWXXgrgeEbiv/7X/4oDB1hhTxERERGRt76SvBgU/0Jf/Au/S/ELxES8GLwqmUzib//2b8fWmUqlcPvtt0/Y+kVERERE3kxK8mLQ2to67ufeXt68q1hx34JJk2zzoXJqbm7G8uW/+Vv1f//3f8fLL788odsgIiIiIvJmUJIXg+K/ze/q6vKar3i6k/E3/osXLx738+bNmyd8G0RERERETraShI/PPnt8Gr6zk1fPKNbR0TH238lkEu3ttuJHuRX3UvB9qQGAuqARyxIXjxvbG9gKJaxKxvuabqHLZPOzagOsIoXLvOarzBirerInzat+sEpLrHrD/JaPmbEw1XrQ5DkdgGHYHMv0/Ayv6VjFFQBoidv+G6zqyowK+81WJp+ny0zE7Lv35CpbrWDnYA+dn62/LbCVdcJglXW2ZGxzwTnBLDPWWThKl8mmTVTwCicMu8Zb8vZ87AtslYmFBV7pqLdgj93zwa/thOTUuaonPQ8yf8EOzamwx+M4e+3sLuw1Y6y6THueV8lg+9SXPWTG2H1cD95zhlUdY/vpW1nNtf6+jN1Odo4Bd9U0n+lc9zzjqmDEsCo47Hkbplocq1DC5mcVhNjxBIDupF9voTCV5di62Ha6KrH4VoJhx5N9prrWxZa5J8M/69g2+a7HJUzFG9/10MpVISpfhamA5LtNvtP6VlRyTcu45vddpu92uriqZPkuM8wxnQgl+1Oi+fPnj/28bZvfBbp169ax/77kkksidx5+5JFH8Mgjj6BQIJ9gDvmiX+hijrKRIiIiIiJvZSV5MQCA9773vWP//cwzz7xuAPno0aN48cXf/OvEa+d/o/7iL/4Cf/EXf4G+vj7veYq/3fDt2iwiIiIi8lZSsheDK6+8cqyT8cDAANatW3fC6desWTP2r/Wtra0nfDHYsWMHVq5ciS1btnhty7PPPus1HQD84he/GPfzxRdf7JhSREREROStq2QvBlOmTMG111479vO9995r/kznVcPDw/jud7879vNNN93kLFW6ceNGfOhDH8Kdd96Jj3zkI/jpT3/6utuycuVKrz8n+tWvfoX/+I//GPv5d3/3dzF9+vTXnU9ERERE5K2mJOHjV33yk5/Er371Kzz77LPYtm0bvvKVr+DWW28dN00ul8Ott96KgwcPAgAuvfRSfPSjH3Uuc/Xq1chmswCAQqGA733ve3j/+99/wu3YsGEDbrvtNnzxi19EZWUlnWbjxo246aabxn5ubm7GF77wBa/9fFUaaRMWZiE3FmZbn/kJXSYL6LGxMCExFtRiYR1nIIm8s/mG6VhwDOChxbl5GzQ+UMGD7CyY+njv180YO/Y0WAnQcCUzmLNBoaY4v84yBfty/PLgkN+KAMxJtJmxV9IjZmwu7LFLBjwvkyCdyfvzR8zYloIdqw/4n9pl8jYQXZ+0jxcWcgaAC+PLzdjm7Bozxs5dmHuJhYrZ/Ol4ji6zvsLvTw1ZoBjgzwe2nUw1knTcFTgtxvb9+QIJUwOogS1O0BhUm7ENjhCo7/OF3Z+uUK5vCDXMPd/V5BeIdlnc9Akz9lS3LczgG04E/MOZ9SRQ7HstuXSkHqPjLCxLPy/IZ4UrcOkb8vY9xydaV6kta7rZjLlC8773QtRQ7/LmW80YLZYQQpggPjv2bH7fgLhrWsY1v2/IO8q6Af7MCBNo9rnnYzH+/C+Hkr4YVFVV4b777sN1112H7du3Y+XKldi2bRuuuuoqTJ06FZ2dnbj//vvHwslLlizBN7/5zVCB3xN9E9Dc3IxUKgUA+Jd/+Rf8+7//O6644gqce+65aG1tRTqdRkdHBx5//HGsW7dubFlnnHEG7r33XsycOfON77yIiIiIyCmspC8GwPEmZQ8++CDuuecerF69Gps2bcKmTZvGTfPqnx1df/31qCD/evlaV199NdauXYtcLocgCHDdddc5p92wYQPWrl2Ln/3sZ3jyySdx+PBh/OM//qNz+jPPPBMf/vCH8fGPfxxVVVXhdlRERERE5C2k5C8GwPGeBDfffDNuvPFGbN68Gfv370dPTw9aWlowc+ZMnH/++d7fEixduhQ/+tGP8OSTT+Id73iHaUj2WpWVlbjiiitwxRVXIJvN4sUXX8SLL76IV155BYODg6ioqEBdXR2mTp2K+fPnY9q0aaXaZRERERGRU1pZXgxelUgksHTpUixdujTScs455xycc845oeaJx+M4++yzTfM1ERERERGxyvpi8FaXQxb9RQFN366brpCYb/BtQZyH2borbGCUhZ98u4gCPLjHwsMsiNdV4CFp1rWTBY2Lj+/YtFl7TJc23mjGXJ2XGd8ux1vym8xYW453+WXh4URg/3xuV+5pOn912oaKp1baEOhIzoach3JZukzWpZmdD999B4B0wXad7k7brtMI6Oz03LN7pKpg950FlwGgKWYD4RtzT5oxdn0fCHjofVH8LDO2P+3fN+V3mv7IjP3H0G6veZPwz2Kx+5tdd6zrs0u6YAPZ7J4DeFB6Mwmmsucde44AvDM7e7axa9lVrIGtn3WQZV3dXdvkG8IMY1niCjO2Pm1D82E62rJtcoU12TFh+8nW7+pKy4LOvl1pw4S5QxXaIGjxkNTdZsx17HyDxlGD02G6/7L1n998gxl7KmWD9GECva4wezFX1+aonah9ryfffXctM8yxZ3yuh1xudqR1hFGycqUiIiIiInLq0ouBiIiIiIjoxUBERERERPRiICIiIiIiAILCiTqGidOKFSuwZcvT2LVrfCdXFkJhQWEWEgb8uxS7wsusa+j7mm4xY2tSd5oxFsABgC09K82Yb8dSV5CQhQFZENAVst6ataEmNi0LQYbppuwbSO7MH6XLXFBlz1PnsO18PDnJ+2j0Zmwoqbdgt4ldT2x/AN7BtiZm6xAcytqAOTseLm2w3ZDZelzrYibFbIKVhakB/66fLKzKth3gXZJZ+HkYJHgNfp6m521wm3Fdt3OCWWaMdedOBb1mjIW5AX6e2TEp7vz+KhbSZh27XfvEsCIOLDjOnldhhHnesnAlCyqHKUDBuouzIgzsunWdT9aV19VhmonSvTdMqDbMsWfCdK1mWAiWhW19w9iA/+8E63tsoDkqV0jbN/gdJrjtG8Bl59MVUvYND4cRNeQdplt7MdcxcoWvX2vFihUAgFWrVnmtKwp9YyAiIiIiInoxEBERERERvRiIiIiIiAj0YiAiIiIiItCLgYiIiIiIAOAlQsRLMl5vEuqsUsQ+2MR5PXjFGN923UMBr+LCUu+scghL5rO0PQDMa76KjhdzVSBi5hbOM2O7Ek+bse6AV29iWAUiVh2GVfgAgFlBuxnb0PNtM9bc+GkzNlTBz8dAxp5nVoGIVR8CgJak3aeudLcZm1Ww294L/wpCrCrQafF6M9aTtdsDALUxez0dzQ2asedzvPrCwuACM8au28a83U9X9SF2L+7JrDdjl9YuNWPdaV5VyFUlyxc7T2nkvOZ1VS8ahF+VDlaxht0zAFBdsON7K3gFImZ/us+MsUpirMJJmOcIO5+u5xjDnkObs2vMmKvqCHs27+yxleVWTLnNjG3J7DFjgH8FI7bvruuT3QvtjbbazoZe+7wD/KqmALyCjwv7rGNVdNixd1Wm8a0445qfbT+7Rtl2hlkmuxfCHLswlX2iCFN9iU3LjlOY7WS/e0StVMR+Rwqzn74VncJUL/K5bufOnY3Fi+3zqhz0jYGIiIiIiOjFQERERERE9GIgIiIiIiLQi4GIiIiIiEDh40hiiJv29UMgIdSCHWIBM4CHdYrXcaL5WVAqTEt5X2z9sxPLzFgXXqTzV8EGrdoLJKSV4UGlC+PLzdiuwIaXGXY8AaAxbgNALAhZW2Gna8nxZSbigRnL5O0F0VvgQeH0qA2mzkm2mbFX0iNm7IxkA10mC4a6QqjFkkGMjrOgcWNgw64XxS6m81fF7L9RpEdt2HZ99idm7IraK+kyfzL4oBm7vOoPzdjhUXvsWWjdJRX0ek/LwvTTC3Y/2fpHAn6NNBcazdiBik4zVlOwYfIw4X6GLRMA9gV+YdV3kyD/5owN/wLA9OS5ZmxnygZ9+0CegSRwCACbYdfF1sPGAP68f1/TLWZs1ZG/NmOukDR7XrNnVnvcPi9dxz1KYBLgn0t9mUN0Wl/zWz5mxlzhzGKusCbb/jBhV/b5yfgezzDbxI6H83Pe89iHCbv6Fj4JE/Rl6w9z3TFs/a5jz6b1DdKHCbiz50uY6843ND9R9I2BiIiIiIjoxUBERERERPRiICIiIiIi0IuBiIiIiIhA4eNIkkjitKJOpixE2s8Ch44wGwsb1Sdt8MwVkvLtJsnCMiz8C/CAom8nTtd+sm7QrAspCxkDPPDpG8hqS9guoADwy8yvzBgLT3WRoNTi2BK6TBYKZtveFrTQ+dMFGz5my2TdlNn+AEA7CX43xSvNWE921Iy5QrksaMw6F0/P8u69yZwNNbNtWgB7La9Lb6DLZF1gh3JZM8aCuqxDMQAkKuy/pewmnbRZKBbgnTzZMWVhcHbPADzI35LnYXgzL+mGDPCgM5vWFXDvytiiA+xZkCrYe8EVDmRBSFeouJjreclCj6wzuuvZyDrY9ifs/H/Q8lkztiW/iS7TF1v3ssQVdFp27BhXYQZ2PbNrmXZtdpwjtkzfYKsrrMk6PJejU26YZbLPX4YdD9/r27VNLuy6Z+HnHanV3uth20rHyO8OvqFzlzBBYd/fkVzhYTY/61pd6usuFvMrEFIK+sZARERERET0YiAiIiIiInoxEBERERER6MVAREREREQABIVCgfTlldezYsUKPPvsDnS8PD446Nv91xVmY50rWaiWBSsBHkhjWBiPhclcdnTbUBLjCr2xY3JpcqkZcwVLWchsKLBdSFkI09Xll4Vd9+ZskJB1mmXhX4B3OT6txmb+h3P8NuwhnY9ZKJgGmsEDzTUxu362TN9O0gDvaMy6GXen/TsKs+B1mI7ADAvQsuvBFbJm9+dCXGDGutBN59/Ss9KMsSBgmGWy88yC3+xeYKFxgB97dn8cypJO7wC6K+x9w54ZvsFMwP85yJ6B7LkM8OuBnWNXKJeGbcvQaZ59XvgGxF3TsuclC14D0cKhrsAlC2z6dqUN0+k2TEdhxrcbcphgKdt33/UA/LPa9zPZtX4mzDaF6UhczBWyZtcD+52CPVddy/UNP4c5n77CXLfF086dOxuLF5+HVatWlXy7iukbAxERERER0YuBiIiIiIjoxUBERERERKAXAxERERERgV4MREREREQEgC1PIt6qgjrMTswfN8Yq1nQFdt5JsVq6zMa8rUbyfOLXZmxrxq/6EOCoyNFExhz1qVjiv7HOr6rDhfHldLwKtirClsweM8aqDwHAnsx6M8b2k1VdYRVbAGA4ayuPNMOeT1axZr+j2s4ZyQYzliaVip4ZshVXAOAdNbaCQk/WTregyk63dYQvc0ZhkhmrjdlqCYuxxIwlAv5vCayqEch2uqo37c50mbF5lVPN2Lq0rZS0uMJuJwB05o+aMVaB6EBFpxljFXwAXi2IVfCpAq8Os7jpE2aMVYdhx7kqx5cJ8nyZnp9hxth1m6hw/NtQng8XC1MR6rKmz5qxtoDf30x90p6TkYJdP3sOuCp0PR/YZyurftQHfi/5ViBizzH2DAN4JZj2Rvu8ZNeNqzrLH7TYY78l718tD012yLdSkavyFKs4w6q2uCrWMGx+VvXLVW0nzLqKsepHAK8W5Ft9yYXtZxA8YMbY8wYApifPNWNsO32rCoWZNky1H9/zGUaUClthsOu+HJWOykHfGIiIiIiIiF4MRERERERELwYiIiIiIgK9GIiIiIiICBQ+jiQoVKCyqAV9Kuj1mpcFIwGgCzYQxixLXEHH16TutNM23WzGtmZteJmGlBEt7JMCPx4spM24jgcLT3UV7LS+IWXAP5jqG+wEgKGcDaaySV3hyJ5RO/+cehtcf3lgxHuZmbxNltbE7KOABYqb4pV0mSxUnCEha3o8wIOU/VkbkmYhTrY/ADAn0ea1TalcvRk7LW7HACBRYZO+a4Z+Qqdl2HU7J5hlxmpiMTM2kudB3+7giJ0fdvvZ9TCY42G4ZGDXnynY4zyjwp4jAKiJ2WP/Stpeo1UFG6jurrD7AwAH0rbgATuebLqnQoQ9WWiQBZJd4+z5wvbTFYCd13yVGdtXsNs/N3+enZnMCwC7C3vpeLENvd/2ms6FhXfrAx7kb6yzQWc2PztO7BgBQH/BXjsdKftZFyZUy7AQqWuZy5rs/rPPX9f1EGWbXNixZ9vPlsnmBfi9uDNlA9EspM3uWRd2Pl0BdzYtWz8LXrv20xc7n1Gvu4mibwxEREREREQvBiIiIiIiohcDERERERGBXgxERERERAQKH0eSCzImKMfCTyx8xYKyAO+s+jxsd85e0vET4EFjFqr1DcgBQDvpUswCgjUFG3h0hYdZN2jWednViXNDT4SQHOv6DB64PKeChF0DG8JM5R0h62STGau0qwHAQ0mxwB6ooaw9UKz7LgspAzyozILG8xrs/Dv7BukyfUP3rkD0kqo5Zox1bmZh1ydGf0yXeXnsD722iV33h7I2DA3wjuXsXnJd9+x6qorZf5/pz9q20efX8i67Lw74BfnXZ21I+vIqfoz25uz93Za3587VOfmXmV+ZMfYcYVxdp6eTLurDeZLkJyFIV1faWYV2r21yYeeeFTxYELfhSFdRBxZG7yTPVlbwwHXsXIHuYq7OvyxIybrqujovM6z7r2/g0xVWjRr4ZJ2s+2CX6Qq7MvsCu5+0YzZ/XFPs2LFtcnX5ZddeQ5PdpjDHjndztqFexnU82bH3DUm7sEA0205Xd+pyBIh9Q/cTRd8YiIiIiIiIXgxEREREREQvBiIiIiIiAr0YiIiIiIgIFD4uORb2YSEtsPAtgOcLNmjMwssj4OFjFny7kIT2WEjsfU238G0i4ed62G1i3Yy39K6jy2SdK1l4mQWnAR6euih2sRljIVLXsdsb7DNj07O2y/HjvV83Y+9u/DRdJgvQsrBrY8CD340JG3TqHrGhQ955mafZplTZ7sVx8k8Eh4ZsAJZ1OAaAZIYmqg22PwCwaXS3GZsFGwxlHYFdAVqGXQ+zq5vM2GiOd1NmnZsXVNnQ3pyc7fwLALszXXaQNINmIe3Dwzxgtzm7xoxd1fhHZiw1ZIOyrpB1V2DD02E6J8+F7crLrlEWimXhWwDYkt9kxny7oLo6F7PHS3ueBGDjPBTLuk6/q/KDZoxtexjs2erqts6wbu0H2D8LunKV5FHCPmtYiNIV4mRBY9+Qsyvcz8KqjCv47Xs9semidsplgWS2HoAHYGmg2BEmd4WSfbiOXZRQsGs/2TFl15MrEMzWz8bCBLd9uY4949Pduyr+cqTtCUPfGIiIiIiIiF4MRERERERELwYiIiIiIgK9GIiIiIiICPRiICIiIiIiAIJCoVA42RtxKlqxYgV2Pbcf6Jz/utOyKjS+LeoB3v59evJc72lp+3VibsFWEgGAVNBrxliVDFatZ2njjXSZrE18G840Y67qE6xSE6tqxI69q9LRgYpOM9ZfsOeJVT/anufbOatgK+swNTFeICxTsNVxptfY7c+R23jbQA9dJtv/GdU1ZuzIyKgZa0nyY1ebsGW2WBWdTJ5X+2GVkgYytlxPU6WtSrRzsIcuc15tkxk7OGT3qbdgq1S5qkR1oduMsWo9iQr+by5Tq231jDWDtroLu8Zaq3jlp2Mj9jjVJey0qbQ9H0dzg3SZ7BphzwF2fwH8+LGqXy15ex+7no1sWradrEqTy7LEFWaMXQ8jAa9kNi851YztTB/2Xj/Djil7Xi7EBWaMbbvLht5ve0/Lqsjt6F5txsJUpnFVkvFZN3suA7z6FKv4EgarisSq+oWpQsM+v3emHvBaN8A/F1kVnaiVccJg1YrY5zS7blwVnVgFovktHzNj7NhF5VtRCfCvsOVaps/8c+fOxuLF52HVqlXe2/VG6RsDERERERHRi4GIiIiIiOjFQEREREREoBcDEREREREBwBOP4iWPHEaC/nFjLGyahg0Hzglm0WU+MfpjM8aCSixoCwCzE8vMGAsKs6BtCjZc6LIreNqMsfDRCHgYjgWl2pps+JgFkgEAnpF5FmR0HftZeXvu9tpMLfbm7DJrwM8HwwKscyra6LRDGRvWfa4/ZcaWNDWbsVmV9rwDQFWc7BTRmLDhwHgFn/fFgSEzNrPWBppZ+Pf4cu0YC143JOwja3Z1E11mY9Jua8+onb8rR8LH4KHaWTEbpmPXwwxMovP/x9BuM8YCeoey/WasLtdEl5lwnJNigzkbfGMBbZemURsQdwWinxq0IVD2bEzE7InvdtzbvgUL2POSBZcBHvpvidn7ZkuGh11Hcna5MyrsuWeh++fxa7rMhYENFbP9ZPO3g4c4GRZsHQrsdQfwoha+4WFXsJQFY1nY9PzmG8zYzh4eNmXhTrZ+V0EO9rnEgr5hgqksLMsCuKc322tsT8YWJgD4cTq9+TIzxvYH4J/VqKWTRuJ73YQ5nixo7ApZRw1UM77XPeO6F8qxnVHoGwMREREREdGLgYiIiIiI6MVARERERESgFwMREREREYHCx5FUoRJnVowPhbEOuHMqbNi1M3+ULpOFonw7+gI8bMsCZSwUtCBuw0sA7y46VGFDdyxc6ArY0Y7IJHTIAocAD2yygCELjtXEz6LL3E+6wM4CCZMXbJicBW0B3pV3QbU9x6M53hF4Zl2VGcsVbAi0L+PfwDxLVlVPOhezfzd4ZcQ/JDZIgtOuzsls2kRg139oyB77V9IjdJnZvL1HplTbR15V2nav7U6n6TKrSFh2FvzCwwAwK7DXEwvAJkhAnHWiBvgx7Ry2YXBmw7ANQwPA0uo5ZoyFwbcN8P2cEbMBXNpl2Z5OzInx4gD1idlmbF16gxm7NLHUjLm6EWcKNnGZITfIYrJuAOjPZs3Y7sJeMza9MMOMXRS33a0BHmZnLk3a/XQVFmCh/30gz1bHY4SFXX27vbqCvh2px/jKirBnuCts6rtNvQX+ucKCwqzLMlsPK/wB8KB0ENgx1uG5Y8DvGAE8aExDxg7sPIXpphy18zLDzgfjCu/6BtxdoeAoou57cSB7xYoVkZYXhr4xEBERERERvRiIiIiIiIheDEREREREBHoxEBERERERKHwcyQhGTdh4et6GzHZX2DCaq1Pu3MJ5Zox1GXZ1uGRBZRY+Xpa4woyxUC0ADIMHMX3m7+xdxyduskMsUNye5/vJgnMHsjZQzfazN8MDtCy4DRJoZoHo1BDv0NwWtJgxFjQeyvFj/0q/DdaeWWeDzknS/bbHscxpVfa23zdgz3F93E53Zj0PD/dlbDfIGhKE3NFLAqgA5tTbEGhf2h4nFgqeWsmD+KxLc65g05VsmSwQDACHR22X5MlJGxA/I9lA52fXHu2cXOCdkxkWOJ0Zt9cIC8K7uoCzgDoLg4fZT9ZlmYXOXfcnCxqzZ8beUdvBnd2HAA8KsyIKWzJ76Pzsec/C0wnS2nsoZ4PLAO9U3xS3BQdY8HnvKL+/2LOtL227U7sCtKyrrm+3Vlf3XbZMFkjuy9jtDNO5mHXVZet2rYt10u6DnY6FpF1YMJV19AVsh2TAPyzL9seFhXJZl192PAB+PfheI67z4bp2ioXpfMz2iXUBD9PhmK2fBvEd2xmm8/NE0DcGIiIiIiKiFwMREREREdGLgYiIiIiIQC8GIiIiIiICvRiIiIiIiAhUlajkamM2yd6Ss5UzaAUcAFUFW2GFJfPbG3lVAlaBiLV07yJVkZphq2EAvAoPqxa0ObvGjC1tvJEvk1QVYhU+2DIBYEHcVjHYR4oI9BZsFRm2PwBQD3ueGgN7PhZXLDFjrLoJAKBgq6Fk8rYyTk0sxreJVAY6NmKrDSVIBZ5ptfz2Hs3Z9R/N2WomU6ubzNiRYVKuBkBtwq5/KGvXkwz4fr48YKsvtSRtBaTGhD3JbN0AMJix6+8cttcDkyhE+zcTV2UdVrlrVtxedz3ZUTPmOna+3l7XZMY6Bu16ACBLrtG6hF0/mw7g5+7lwSEzxp6XLm2wlb/2pNfbdZNnw95gH13mkso5Zqxz2G7nOTFedWw7qUQzK2+rGiVi9nrqQjddJqugtDH3pBlbiAvMGHteAcAGUvFmXvNVdpsKvLIO+wya0XQpnbYYqzQE8Kov81s+ZsZcFYgYVvWFVbxh1xIAgFyOO7ptZSBascYWVgPAK86w/WQVoVzVenwrCLn4HlO27a71sM/6rVlSZcqzUpFr/Yxrm1xVgIpt6Vlpxnyvb8C/GlYYxfs0d+5sLF5sq1aWg74xEBERERERvRiIiIiIiIheDEREREREBHoxEBERERERAEGhUODpMTmhFStWYMdzezFyYOa48QPp58y0LFTEQsYAD8aykNnz+DWdn03LAri+6waA9oINGrNp6wMbomTBZxffdvQAMCeYZcaeGP2xGVuWuMKMuY4H26e5BRv2aYpXmrG9Ob6fXSSceFHsYjotc1qNDRAnyOs8CwU3JPl7f5wMs6Aw0+AI+r7YnzZjicCuaEo1D0QfGLLzT622gbLDwzbQ1ZzkwbNU2k57Rq0Nxe7ss8HrOfU8Sbhp4KAZmxWz132mwEPaLOR9WtwWAmBh8lfSNqANAKmg12ubqkgAdiTHt/NQ1hYxOLe+2Yyx8wbw/WTzp0ZtGNu1n4xvIDtRwe+FzvxRMzajYpIZY/sDAJNi9jrJ5O0xZUHjd9TwAOjBIRsId21/Mde98MP+fzVjLATKAskAf46zZ+OBis7X28TfTEs+K1kolgU7Xdj27yTB66je3fhpM/Z479e9t4l9fm3JbzJj7DMR4MeJff669v19TbeYsTWpO81YYx0vcuK7TWz7o55jFih2BZrZtCy4zfbTtcyogWjGJyR9+swkFi2aj1WrVnkv943SNwYiIiIiIqIXAxERERER0YuBiIiIiIhALwYiIiIiIgJ1Po4kUUiitahb75xKGypi3WvXpTfQZbKwTm/chmXbwUNBeytsh89+2OAYCyqxbsYAMBLY9bP5fYPXALAnYzuWvqvyg2aMhQMB4GjehgFZqIl2F+X5WWpyssqMsXDknGQbnX9GzgYZWVfbeQ087FpL8kuHh2xQeFqtfcfvTfNAcYoElZsrbYizL82DqQwLCjOuZZ7bYgPd+wfstCwEekbChloBoJJ01U2N2mXOb7TH/j/7eAC2DbYr7fa8DZi7QvfvTF5CttOeO3I6kMnbYwQATaRjN+tSvHXEPluaC7zb+RnJBjOWdnQ5ZhY32nPCjikL1bIwNQDMS041Y+w5yp5NrPs8AFTBFoFgXcircza07sK6W7Ou8j0keA3w7t6xwD60utM2+D2Q4ctkWKfa9d13820i4czHB23YlgVt2ecCwLvXb+j5thkL032XrYvtp6vQhm8IdlfwtBlzBbd9C2Uwzi7B5OOiY8B2GQ4CHj5mxUtYl+VQHZbJNrHt74Md8+1Q7OLqUsx+n/INVLtCxmz/fbffNZ1PN+hcbrbXOkpB3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAgUPo4kjwKGMT4Alszb4JoraMywsO4+2ABQG86k87fkSfCOhBNHYAPFrAPrcXZ8r2fGjXVgPc7u5+7CXjPGgtMAaICYhQ6HYDu4sjAYADTnbEBwd6bLLrPCLnM4zfeThTgZV7AzbXPKNJg6Qs5HSyV/70+Srrqsm3KKNEV3LbN71E7bmLTrYSFKAMiR3R8lXXnn1TaZsaSj+W0/yY6xbtDdI3Y9U6p40JeZGbeBsiPD/P7szZCNIkMsgOrqpszum3cn7DYtgA3nN5BzBPBO2DEy6fQaHsqtIuekJmY/boZyWTO2pG4aXSbrOs3ChRdV2c7ih/L2ngWA2dVNZuzIiL3pXB19Z+Xb6XixWhKEb2UHCcCLA0NmjBVBYNfIUM4/fMyKSrAAqgsLfLLwrytYOdJkPwNYOPP85hu8t2l68lwz1k0+QzpT6+j8YbrqFnOFrHcO2gCwKyxrtqeJd8dm132YUCwLWbNtYkHdMEFfNm1HyoakXeeYFSnxDTQD0c6nCwsls+Pk2yEZCNcleSLoGwMREREREdGLgYiIiIiI6MVARERERESgFwMREREREYHCx5EMow+7s+ODNKx7L0hm0BUeHgpsSG5u/jwz1hTn4chHR35oxliHyaqC7fh5KMsDeqxL5NyC3aYL48u9tgcAliWuMGNdJIDqCh9fFLMBQxZkZLYUNtHxSyuXmrHarA0F7S7Y48RCsYC7u2kxV0dgV1jXxyhL9IIHfavjdj2n19lwJAs5A8AICatOrrL/7nAsy/ezjmSvJlfb9bN96hriy8yR8HQ2b/dz76jttDurkncEZuFlFtR1BUtBGipXkc7HO9OHzdiMCttFGwDOqeDPkmJZEnB3XZ7sum2vtx8Xx0b4NTbkdyvizHobqmXdqV3Ys411Fp8U453FWcCddUtfFD+Lzu/btfrwsA0iHnPcTCyozLqts47dW3r76DLZcWJFLVgBBwCoT9px1t2bBTtdAVgWLGXh4T1pO51LTcEWyuiC7Uzu2iZ2nKob7efa4z2267MrlMsCxOw4s/AyOx4AAPK8dAVwfbHwMMPCwwAP4LKQMwu4txd4N2J2PbHj7OpY3ZAg4W3PDs0u81s+5rcewhXu9wk0x2L+3dej0jcGIiIiIiKiFwMREREREdGLgYiIiIiIQC8GIiIiIiICvRiIiIiIiAhUlSiSqqAOsxPzx4115o+a6VyJe4ZVUKiNzTJj2/N2OoBXMRgpDHute0vPSjrOqgAkA1t6I12wVTZmJ2zbe9e0IAV43l3F5/9h/7+aMVZRgqmv4JU3WCWYBVW22kDNiK188fLgkNe6AWBy0lZi6c3w9umJCvvuXh+3t22ywh48R1EiDGZsJZbaWjt/b9rOSwr9HJ8/wea3E9eT6QBgmFSxGSY7UB2z8486/nkjTi4oVjHmvMpmM+Y6di8P2OowNTF7Ploq+aP1GBljlY7OJ1UuXBWqjpCDxyZl6zkwRE4ygERgpz04aO/ZZnZAwatssWpBQ/1221uSvPoGq8rEtpNxVSxjdy1bj+v+bGTlYci/tx3NDZoxVyWzwYw9ee119pjsG7DnzlV9aUueV2IrxioNubAqNvOarzJjO1MP0PnZ5wpbP6v4sqzJVrUDgOfxazPGqugEATtvwD5SQYhxVSBiaLUfVlUoRGUchlW2cVXBiVLByLXM3gFb5WpZ081mbH3qbjPGKv0AwOKmT5gx9nuK63ywakVsWnY8XNcIm9/3GmP3B8ArOp1M+sZARERERET0YiAiIiIiInoxEBERERER6MVARERERERQxvBxd3c3Hn74Yfz85z9HR0cHUqkUWltb0d7ejuXLl+MDH/gA6uttiLMUenp68Pjjj2PTpk3Ytm0bjhw5goGBAVRXV6O1tRXz58/HO9/5Trz//e9HTU3NG15PUKhAZaF63NhI4Bf0dU23EBeYMRZonoV2Ov/eYJ8ZY63nL4zbNu+uNvFtONOMdaHbjDWj0YxVFR2fV23OrjFjLKicSvPQH9v+XcHTdNpii4MldHwwb9e1Z7jHjFXB7tOBik66zOn5GV7b5ApcHh6118kZtXba1iobWDwyzBO0p9fZwGhlhZ12/4ANbM5u5IGsV0bs/I1kl2riPED72BF7PS1tsaHgg4MkOO0INLMA8bERG6BtrbLHYzDDjx0LGp9RZ8cODZFwvUOc/PNMatjupyvoO6Xarn8oa7d/hIyd1cCvOxYcJ7lvkFUDANJ5O/G8ShuMZQFz1zVyuNfen6wIAgugXppcSpe5JbPHjM0q2GcrKwIAAJm83f7ejA1Zz6q0z8bGJN/PnlG7TBb6r4nZfR/K8etubuE8M5YKeu38QT+dvyVvCzZsBQnVEq7AJQsas0IdG3q/bcbqm3kBCZDj5Aq2Miysyj4XWdD2/OYb6DLrk3Zbacja8fnLsKCyKxTMLG280Yz5/u7CCqQAPGzL9oltJw1og+9nmOPEsGuMXU+u0LxrW4ux7XQt0+caW7Fihdd6S6EsLwZr167FbbfdhlQqBQA444wzsGjRInR0dGDjxo3YuHEj7rnnHtx1111YupQ/sN+Ip59+Gt/97nfxf//v/0U2e/yXmrq6Opx55pmoqalBd3c39uzZg5dffhk/+9nP8Dd/8zf47Gc/i6uvvrpk2yAiIiIicioq+YvBQw89hM985jMAgMmTJ+Puu+/GxRdfPPb/H330Udxyyy04fPgwrr32Wtx3331417veFXm9/f39+KM/+qOxn6dOnYq//Mu/xOWXX47Ya/5l5ejRo/jGN76BH/zgB+jr68Ntt92G3bt34wtf+ELkbRAREREROVWVNGPw7LPP4rbbbgMAJJNJfP/73x/3UgAAl19+Oe677z4EQYBcLodPfepT2Lt3b+R1F17zXWtLSwseeOABvPe97x33UgAAkyZNwh133IE//dM/HRv73//7f+Ohhx6KvA0iIiIiIqeqkr4Y3HHHHcj8v0Yw11xzDebMmUOnu+iii7B8+fG/ER8cHMRdd91Vys3ADTfcgOnTp59wmj//8z/H1KlTx37++te/Pu7lQkRERETkt0nJ/pToiSeewDPPPDP28+v93f7VV1+Nn/70pwCO/3nR9u3bcc4555RkW973vve97jTJZBLvfve7sWrVKgDA4cOHsW3bNixYsMB7PbEgQGMwPojaHdhQEeuk2ZnnQZ9e0qWYhXoTMf5Otzg+24yxMB3rPMy6JgNAc96unwXXXAFchq6LvJexLr8AsLtgv2Vqz9tQ0das7UjYmbBhbgDoCmyoigWv29BixqodIeNh2O6k+9N2rPg6ehXrktxPgrEJcjnkHC+6NeSQDuVsELKJhF3dy+RBymKuQPS59TZozKZtqbI7OupoU5y1+V0aFCZ5ZNTyjDW2ZOw1kum3ncmn1/BQL+tSzDrYDuZs0LYh6V8ogQWFWefj1krX/HYB3SQUyzpWA0BLpZ3/BdJKe16TPU59vBkzZlTb/afX3YAt4MBCxgAwJ7Dnbjfss2UO7HQAkCnYi2xajT2oPaMsFMyf4dNq/cLkYfg+m1nIGAD2BTZsywpAbE7bohKuz5X6wK5rH+x6wnQZZljQl3XUBXiwloVNwwR962H3k32udA6uM2OsmzHAOwqzY+fCAt20IzDZd1YkBAA6sc5rWta52BVQp+Fj0gmbhcYBHupd32M7L7PzGSY078t1LbPOycXdkE+fmcSiRfPf8LrDKNk3Bo888sjYf5911lmYNYs/SF+1ZMkSNDQ00PnfiGQyif/23/4brr/+epx2ml9b87e97W3jft6/f3+kbRAREREROVWV5MUgm83iF7/4xdjPCxcufP0VV1SM+9f5tWvXRtqGqqoq3H777fj85z/vPU9l5fh/2RkZGYm0DSIiIiIip6qSvBi89NJL6O//Tf1jV7ag2Ny5c8f+e//+/ejp6SnF5njr7h5fO/31vuUQEREREXmrKsmLwe7du8f9/NpQ74m0tbWN+3nPHv53oOWyffv2cdvi802HiIiIiMhbUUnCx/v2je+2O2WKoythkcmTJ4/7+eWXX8YFF9jgWDmMjIxg/frfdAT++Mc/jrgj6OpcRiyFXS3/8rrTbcVGOn7asSvMGAuhsq6biYC/07FOubUxm6T8WffXzBjrhgjwoHFzwQaSWSiXdSEFeCfOmbU2XHhwyHYRBYDpBRv2Zdv5rsoPmjEWXAaAhQV77bFOtyxw2EiO8XE2PNybsYEy1kkaAObVTjNjO3vsn7zNrLfXDcmPAgD2Ddgg42TSOXlajb3GRhxBXxZ+ZsFUV6fc00j2ejBrt6kAForly2Sdl1mAlgV1XV1pP5C0YTYWqnXtZ13CBrqzeXvwJlfZ64kFggEgTbrvslAuy+kedfz1JAtkt1Xb7UyR4+mav73OnpD/7LUXCQu9A0CW7Ofu/iEzxrohuzqQTyYp88SoDYYmKvixZ/cyC72z7tTsugOAJDlRLGDPOmHvHuiiy+yHDUyyAKyrCALrFusbaD6Qfs5rOoCHVfdk1puxPkfX5QVxGyLtrrD7vidtlwk4gtLk0c7Crq6gMOuIzPaJff66Qs6LY0vM2IZu/226rOmzZmwXnjZjLOj7VOof6DJPb7bBbVcn7WI1hXo6zsLDPkHdE2EdmlnQOEyXYoYFp/tgxwC+/cXz53K2sEy5lOQbg4GBgXE/V1fzh0ux4umKl1NODzzwwNj62tvb8fGPf3zC1i0iIiIi8mZTkm8MBgcHx/1cHOp1KZ5uol4Menp68K1vfQsAkEgk8LWvfQ1VVfZfdl9PZbYZk4/9/rgx9q9VrASpiIiIiMibSUm+McgUfZ1aQf70hSn+053i5ZTL5z73ubHg8a233orFixdPyHpFRERERN6sSvJiUFMz/m/D06SBEzM6Ov6Pg2tra0uxOSf0rW99C489dvxv1D7xiU/gmmuuKfs6RURERETe7EryYlD8C33xL/wuxS8Q5X4x+MEPfoBvfOMbAIAVK1aE6nkgIiIiIvJWVpKMQWtr67ife3ttdRimuG/BpEmTSrE51L/8y7/g9ttvBwD88R//Mb74xS8icJVt8RQLAjTFx+ckaPUK8hdSrtzBlCqbz9gz3GPGXNUjircHAA5lbWUA1prb1VKdVaTYFdgKBqzKxeIKWz0B4FWVXh60FUaGwb99qoatcMIqJTHnVNjtBIChnK2Q0pO1L7ms+tG8OC/Ry6pEMXOSbXT84KAt78IqJb3QY7d9Wi2v7sIq1rRU2qon3aN2OjYvABwbsfO3kkpHrCoQAPRl7LT7B2x5l+m1dromRwWhgYxdV0PCTttHpnPt56Ehsk019lrc109KMgF4W4M9dyM5u66Dg3b+sxr543pfv92mBlL9iO3nSJafj+ZKe3+yKjq5Ap+/gRw/VsGIVSBKOioAvZK1D9KplfY56FuZDXBXBipWGeP/htZIStYMZEhJJtj9TI2S8kXg1YaY1Khdj+sZ2AxbBY49W9dnf0LnZ9Vp2gr8OVqMVRoCeGWeLtjKNgyrNgcAW/KbzBjbTlp9CLyCEqsuwyrTsGo3AP+sZevfV7Cfv6z6EQD01dqqTIubPmHGWEUkAOgK7HGuD2w1SXY8wlQAYhWd2PFg1wLAjz3jOp+uykLFdnSvNmPnN/NKSWxbXee+mKtK1PyWj5mx3oHx18OKFSu81lEKJXkxmD17fBmlri5eMq1Y8XTFyymV+++/H1/60pdQKBRw/fXX65sCEREREZEiJXkxOPvs8W/PnZ1+9Y07OjrG/juZTKK9vb0UmzPO//pf/wtf+cpXAAA33XQT/uIv/qLk6xAREREROdWVJGPQ2tqK+fPnj/28bRv/k5RiW7duHfvvSy65JHSDsdfzrW99a+yl4DOf+YxeCkREREREHEryYgAA733ve8f++5lnnnndAPLRo0fx4ou/+Tu3185fCn/7t3+Lb3zjGwiCAF/4whfwJ3/yJ85pf/jDH2LOnDn43Oc+V9JtEBERERE5VZTsn+ivvPJK3HvvvRgeHsbAwADWrVuH3//933dOv2bNGuTzx8NXra2tJ3wx2LFjB5588kksWrTIq+fAHXfcge9973uoqKjAX//1X+Oqq2y769fK5/PI5XLI5VhozK0iCFBVFErbmT7sNW8VeHj48REbbHln8hIz9svMr+j8C3MXeK1/Iex0e4N9dNpJFbZa1EjeBrpY+/NOnq/DvKQN6x7I+/0JGgBMz88wYyxgmMnbDciAb1SC9N9Ik2uCBfz6szxs6hsG3+8o8ctC1jOqa8wYC/qy4DIAnFZjw42HSUY6UUHCqo5bJJ1n4WU7Xauj92GanJJ6EhTOkPXkQxQRaCbrr0vY8z7kCOWyYCxbffFz4VUHB+2OsmunOWmv5aMk4A3wsOqhIXuiJlfb6SaR6wYA0uQ8xwK7/jpyjgAgQ85noyMkXswVUD+70d4L7HjOa7DPq0ND/P7sGLQXaWPCHntXGH0KOaY5svks5DyS4yFjtqpswQ6y857J8xuMPXNYAYswoV4WFGZh0arGy+gyWaC5L2NDtQvidv7O/FG6TFYAg22nKzjNtml2kw1PVxXssetu5gHYmgIJsZJrZBbsn1K3NfHtZPvEQrGu8O68Zvs7Ed3OiFigma1ncSUvUvIEfmzGTm8m14MjpM3Cvmz+MOh1C7+QtAsLSQfB+LG5c2dj8WJbRKAcSvaNwZQpU3DttdeO/XzvvfeO/eJfbHh4GN/97nfHfr7pppucpUo3btyID33oQ7jzzjvxkY98BD/96U+d21AoFHD77bfje9/7HuLxOP7u7/7udV8KRERERESkhN8YAMAnP/lJ/OpXv8Kzzz6Lbdu24Stf+QpuvfXWcdPkcjnceuutOHjwIADg0ksvxUc/+lHnMlevXo3s//sXtUKhgO9973t4//vfb6bL5/P43Oc+h4ceegjA8a7Kd999N+6+++7X3e7BwUHvfRQREREReSsq6YtBVVUV7rvvPlx33XXYvn07Vq5ciW3btuGqq67C1KlT0dnZifvvv38snLxkyRJ885vfRCzmV7cZOP5ywDz11FNjLwUAMDIygv3790fbIRERERGR3xKlLQOE403KHnzwQdxzzz1YvXo1Nm3ahE2bxv994qt/dnT99dejgvxd92tdffXVWLt2LXK5HIIgwHXXXUenc/3ZkoiIiIiIvL6g4Pon+BLIZDLYvHkz9u/fj56eHrS0tGDmzJk4//zzQ31LsH37djz55JN4xzve4RU+nggrVqzAi88dRNvB8cFgFopqQ4sZYwE3AOjN2LAMm3Z/uo/Of1rcBnv25o6YMRagZR19Ab79vlwdnlnwbX3Gdt1clrjCe10sPN2St+Gn8xqa6fwsoLg9b0NebJnsuAO8E3aMpFVd4WUWQs2SAG5bjX3Bdt3ZDZ4h0Lq4XcBAls/bT7rqsvAwmw4AGsjtMEwCsCwUe5rNYgMA9tq8pbNTb7FjjpQ16z78n7323LXX839zYatPkkch6xLcxxLaAE6vswtgzYN39tiA+7wmG+gFgCqSliWNdlFLrhEAOGibmFNnkGjZf/bzZbIA7yC5nljXZtd1d2TEho/nNVWZscmO0Px+8leorCMx60I+ldefwAu9dltn1Np96iTB64NDvBog65bOuronA/65nC7YfWKdk1mxBNfniqvbbbHlNR82Y89m/5NO21+wn3UMK74B8M8QtkzfkDMAtBdsp+CRwH4u+nZ9dmFBX9fxYGFd1s2Zda1mRUZcWEdhFv7tSD1G52edm7f0rPReP+uyzNYVppszC3Sz9bAgfXE34xMp7qb8avh41apV3st4o0r+jcFrJRIJLF26FEuXLo20nHPOOQfnnHNOibZKRERERESKlawqkYiIiIiInLr0YiAiIiIiInoxEBERERGRMmcM3uoqAqCmKET91LF/MNNd1vRZM7Y/zUO5k2I2jce6vb69ronOz0KTLGjMQmasmyMAdAXdZmxGxSQzVh+3l1Mi6//uybpuDuZsGBsADlTYLsmzCrZzZC/scd7Z59+3Yjpsh+WplfY4ucLDVYE9Jmxa1qEZ4EHjKkcX1mKkUSwA3r24PuEXNJ5UybeTdQQ+NGSXyTo0A7yrL+so3FLJAs10kWirtstkwe8jI3be2Y28OMArI3b/z59kz/FBfnsjSw7fIOmyfBoJk7uw4HaKNNIuflYBQB9vuI26GrtN5PbGoCOMPo3MzwLJPeTcsaAtAGzrthOfUWc3inV9riXdrQFe2GFdz0Ezdn6t7XYKANNqWEdiu00s9O7qIj65ym7roSG/qnssJHx8A+zQ5uwaMxam2INv0Nj1uTI9aTsFs472r6TJDeq4PVgomHkev6bjCws2lLyXXOJ70jY4fWF8OV3mruBpM8a2k4WHD6Sfo8tk6pN2fhcWlmWB7J/1fM2MsZAywM8nw8LYy5puptNu6bVBY7Z+17pZ+JoFjX27cAO8mzILSXcM2JBzcaD4RIr3MxZzfKCXgb4xEBERERERvRiIiIiIiIheDEREREREBHoxEBERERER6MVARERERESgqkSRjBay2J3pGje2vPlWMx2rAJQi1XKOs1WJqmL2/a1j0LazB4Degl0ua7/OKhWxikgAkMnzqhLF9o7aihSnxevptNvztv07q0gRBmtnXwO7/uoCT/fXxvwqBrAKI5Or+LysCs30Grv+uOMV/ZVhW05khBRAakza0hm5Aq8YQwoIUVUVdj/7MnzmnJ0UdQk7bV2cTAhghBw+Vm0nFtj52bpdWBWd0Zw9SZOr+Pxt1fZEHSEVlRxFcEAuHTSQc3dk2H+nWJEqduwS9fY5NMSLaSGdtwtl141rP1mlp2k1doxVKgocxTdYBSJW2Wdard3PY+QcAcBQzi7gHTW2QklljF/3g+T4DWRYlSm/eQGgtdLOXxHYA50atdOdWUdWBF6tbhlsBSJXVSNWbcgX+/wBgMWJ2Wbs8Kjrc3E8Vm0GAEBO087UA2ZsaeONdHZWgY9Vu6tJkM81xy3Lqg0Nod+M0c8/x71QU7DrryKf07MCu+2A47Oywt5f7278tBlj1axcTm++zIx19NhqPWw6wF0BqRg7xwCvvuSLVSoCgPktHzNjO1KrzRirtMQqGrkUH5NY0Oc9b1T6xkBERERERPRiICIiIiIiejEQERERERHoxUBERERERKDwcSRBoQKVRe3eWXipDS1mbEEVD7ak0jacwgJZM2t5yKwla9NKWzKOoFaRXSQQDPD27c05G15mIbMesj0AsLjSBs9YeNmFha9YoPpARacZmxXjreObKm1o8eCQDXmTvCRiAQ8nVpFk6JFhmzqcUs1vRbZctkyySBrUBXhgkwV4J1XasX0DdJE0aMxClC6tZF0s/MzCw3nHaliAtjpmJ35bvZ3uADvJAJrI5ZwhAXPH5YCkvcTQl7ZjbSTvP5zjCx0l6z9GahOwoHATCT4fn9YepySZn4WpAWCE7CdbPw/l+l837XV27Nev2JuhvZ7fX5Wk4EAtub/YPQMAveTGmVHrd42SLDUAfo32kFRtatRu1OxG137a+Tf02c+FoQobigX483YosNO25O2zdWvWhk0BoLmw3Iyx5zULGs8tnEeXuTljg7EsQMsKggDACCkKsj7zEzN2Ydxv2wF+TLor7D6xUO+COA/lsmPKwrLssxvgx7Qna8PPwyAPJwe2TBa8ZlzbWZ+08x9IP2fGXKFeFhTuGLDHLgjsc8C1TBaUbqx7O53Wdzp27jp71o37uW6q/Z2pXPSNgYiIiIiI6MVARERERET0YiAiIiIiItCLgYiIiIiIQOHjSApB3gRuWQA2QToX7xnuocucVWnnZ14Z4cGYTN4mEacXbKiIdcg8PDyJLvNobtCMsU6YLIzGgtcA0J22oaZq0uYxTMdNFihj3SQP5XnADqRL8vP4tRm7NL7UjMUd7YSfGTpkxuYk2sxY2pGgZUHjHhI6PK3G3sqs67KLKwhZjIU9AWCYhDDZIWGBYgDoIR2V+zP2vqkhwUxXJ+da0mWZBXgH0nY6FkAFgB4yLQsak9MBABgkt20d6VLs250aAEhzbBoqZiHpEUfb6AqyU5Xk3L0yyjeU7T/vWm3nH3KEj+tJwJ3dNyzI7zqfrEsxO04Njg60rNXuCLnGWKC43tFonQXsX+qzgepakubekfLvrMqe1y5dsIUp2go8MFpsdmIZHd+Fp72W2VKwAdTHe79Ol/m+plvM2LQaW9ng50Pr6fwsBLssYTtEtyTtBTEVPBz6k8EHzRgNFSfPtWOOZ/h0Mi0L5bLwLgC0520IloWnWXDadT7ZNcK6Rru6HDMLCxfYQXIvhgn1MvOarzJjLJDssrjpE2ZsT4ZfY0xx0Phk0zcGIiIiIiKiFwMREREREdGLgYiIiIiIQC8GIiIiIiIChY8jqQoSmO3oYPxaozmbIJoV5yHjHGklWh+3p4mFd11qSXfPpwZtKNalGXZbqws2AcQ6Cg/lSEteAF2wHaJZ181F8bN8NhEA8Gz2P80YC167ZAr2PL0zcYkZY52oZ1TzTtRLG6aZsT4SYGWBYgCoIsF11qGZZUgbHIFLpgAW1LXTse63AEByodT+IT4h67LMwqosGFrFm5jSbrV1JJDMgteuUO4guZxZ0PY00rkYANJkP3vS9piw7r9s3wGgmYTx2PnsIY8MFuh1rYutnoVqAd51moXh4+Qcu7aJ3Tf9ZNJp5FZkz1UAaKm0FzQLNNc6PikzZD/ZpcOu0SMjfD+bk3YBM0nnZhacjjluhkEy7ZLEHDOWdRRBODxqn6O+hSFcBShYOHNu3HY03hXYkPLSxhvpMtnnSnrQfn7NBe+czNZVVSA3M7mX0gX+DGcB2O7AdglmQd31Wdt12bVM2o0ZvBszwzoX1wS2IAcrsAIAzeSYPh/Y4h19Gfu7BwtTA8DzBTs/ebQ5sXWxUHFD7dney5zRdKkZY8HrvsEXzBgLObv0Dmwb9/OKFSu8541K3xiIiIiIiIheDERERERERC8GIiIiIiICvRiIiIiIiAj0YiAiIiIiIlBVokgy+Tw6h4fGjTXFbdmRuoStFJFK89b102tsiRFeUYOUIgGvmFMT2NM8FPhXAMqQShU92VE6rVl3jF9iXTmb4mdt2lmlIQBYnLDt56fn/SoQVTuO3WDOnpPJVbaCwe6MrcZRm+bt0+MVdjxOXsddx/Pc+loz1jVky7s0VNsKJ6yKCwBUk1PCipmwmikxR/WhpqTdpmNpu6NTqvj8rNoPK5DSxCrwOKpU1JNTcmzU7gCrQtPATydaKu38rIJPP6kCc3xdfuWbqsn5cB07tk+sWtDp9lKi9zYA9GfsMln1pNZKPj9bLjvHTC2pHAXwY5It2G3qHrXzVzou3EPkXjqrgV0j/hW+2LFPkHv+jBpeZmowZ9dVRZZ5aMi/otOLo0Nm7Mw6W77p8ZENdP76Cltx7ndqbFUjVv3oJ4MP0mWyKjrs87M+b9e9D9vMGAAsxAVmbG/FPjM2J5hF568v2HWxKjisAtHkJL9BNw/Zyjis+lJXYCsqLUtcQZfZW7Cf86yiUlvhTDr/vsAev/rAb99dDlTYCkh9abvvsxPLzFhXwf4+AADtBfs7wUhg970twfdzS89KM8aqCrHqRa5KRew47eheTactxioiudZVPO3cubOxeDGvplVq+sZARERERET0YiAiIiIiInoxEBERERER6MVARERERESg8HEkiYoKTK0c3y69P2sTdvEKm5qrifHW9X1pHkgr1p0mPdkBsz3H128DaXPSNnxVyxJyAA4O2WBsbcyGaPbmbEt1V/v0xbElZqwzf9SMsTbxAA9Zs/BXLPAPDe5MHzZjTaM2DMe01/FA874Be56ak/bYLZlUR+dPkSBlS5U9T30k9NeY5PtOLgcaNGbBzrZKniDtz9ptYqFctm4AOK3KTjxCAp9xMv+oIxjK1t+UtMepn9QBcIWs2TKHs3aZScc/ubBg7WDWruwYyaIX6Fni628mlyM79jZCeRw7TuyYVDjSiTly7TSS3B3ZdIw4Noptf2vCnpBqsqEjOb6dp9WwE2WnZQF1AEiSjWJTJgIWSObLrCDhY/ZobiD3t6vgAHs2bhvoMWPvTF5C59+d6TJjawbXm7GLYhebMRYyBoBh2GfjrpwN0M4t2MDlMEhQFjzA20LCy/WVjl99yLOAFatIBbYARYoUpQD4/rOgMNtPtj8A+AObaEMLHa8q2N8TWKC7hYSxWcgY4Mf5gOe6+7I2/AsA6wceM2PnN99Ap2XmNV9lxlhQmIWC2bwAcCD9nNc2sQIvrkBz74A99o1144PXsRj/HaMc9I2BiIiIiIjoxUBERERERPRiICIiIiIi0IuBiIiIiIhA4eNICiiYrsQsWMrCu6xzIsA7Pw7lbOAzUcHf6bZk9pgxFgqaXd1kxnpGXVFEqz5uL53mURs0ZgEzAEjmbfiaBaUaE7xT4FDO7n9vhneTLubqxjyjYpLX/AuqTjNjBx1tXVnIvIYkaI+O8NA5OyWs+y4bc+QtUUt2n00bJ4HJgyM8ND+50m5/ggQza0kHVwCoJEHMnow9xy2kw/IICWsCfJ9YiJONucLHzAzSUTjtuJXqSfiYhW1n19vpXiEdjgFgmm1gC1bDgAWiXaUO6sl5YiFvFpwGeHdttk2sS3CFo2AAy//mSQozzLljYXB23TQ5OmEnyfaz+ftIJ+kax73AAtnsOI/m7AFlYwAwlLMXGQvVsukA/mzsyttutZmCX/EMwL/77oHAhl1Z53sA2Jm2RSkmxewNyopXAKD/VJoM+DPPFwvrtudtR1+2nlkxHrLemHvSjLXBdv/dG9iuzwAwvTCDjhdjXYb7C7bICAC0kEA463LM0vkNCfuZCgDzWz5m1w+7/s6edXR+FiBmQeNCwe93B8CGggFgT8YG8X0Cxa9i+9k3+MK4n3M5fs2Xg74xEBERERERvRiIiIiIiIheDEREREREBHoxEBERERERKHwcyWghazpCzkGbmY4FaGMB72LHOhq3JO20xaHnVy2JzTFjvh0ye7Kk3Sp4IJpt55x6G/I6Msw7B1fF7DvpCAnOZRwdRydX2WP68uCQGZtZa5OZLAwO8PP0SnrEjB3K2n2fVck7PLN92t0/aMZYZ1IAaCCJ0UGSTmQh5foET2GyURbYZKFcFtYEeACYhSvTri7FpFMu0522G+XqplxJtp+FnFN5di3yZU4lHZpZKDfu+CcXtq1VJNvYnSbBbcexZ92gSbN1GoptJR2OAWCYnE927NgxBvgxaSDbHyMBd8ejDT0kgMv2iV3LrBMzAEyrtif6xQH/fy9LkuPMQt5NlXY9rm1ix5kF+Xlnc77tDWR8NGefd3uGe+j8rFhF+7ANUrKiFImAb9PcrO30y4LGrNOsK3zMQtKDORssZZ2LAWBR/Cwztj/dZ8aaYZ/3rpByb550GSbBa9b52NWavL1gjz1b5sLCBXT+lkr7O0VtdokZO5qzn1X1FTwQPanCfv7vJkHlLT0rzdjSxhvpMrsDOz8LqLs6CjNsWta5mG0nAMxoutSMsfBzmG7KO1MPmLHiYzIae4bOWw76xkBERERERPRiICIiIiIiejEQERERERHoxUBERERERKAXAxERERERgaoSRVJdkcDcmvGtvFllnDPrbGWcw8O8BfeUKl7Fp1ic1pYBRkkVnC29tqrC2+uavNYDAGfU2cvk0BCrdGTX7dKfzZqxmpit6sAqQgBAT5ZUVYjZKgA/H7Ktyi9NLvXeJlaRaWrMVplgVZoAYFqNnT9RYSsQsepHAHBaja30wKoStVTa83FoiJe0yBXscT7DroZWwck6qgrVxu25n5SwY30Z/m8RCVKdhqnzrGwD8Mo4HUN2/azS0IhjPxlWRYatGwDIqaNVdGpCPJnZ/h8etgttJoXQXLdsQLaJbWcVqTwFAEmy3AQ5TkwDuW4AoJpswDFSpYptk2s/e8j1WE2Ky7gqX1V57hO7RlhFJQDIk/VnyPbXkmuklz+G0DFoK7G9o9U+x46M2LHj43Z+VgXnjMIlZsxV7Y5VYktm2s3YrIQdc1XlY1V0zkg2mLFaUpEJ4M/hSTH7cGSVllz7ydZ/BuxxYp91w45rZCQYNmOsUlFjku8nO367C3vthORxPT0/gy5zS7DJjLEKQoubPmHGWPUhgFekYnoH7LUIAI119pjMTiwzY0+l/oHMa393CINVP9rRvZpOGwS2KtGG3m+P+3nuabMB8GNfavrGQERERERE9GIgIiIiIiJ6MRAREREREejFQEREREREoPBxJAGApCuV9hovDthAMgteATzklaiw728sqAsAmbwNFVWDpA4JV0v3TT0pM9YY2JAaC9pWxfkyq2P20kuTbZ+XaKLzvzJiw9vNJGg1d9i2md872kuXySxtaTZjR0gizBUaHySpQXaOlkyqo/Pv67cB4sOjNni2sMkG5Nrr+bEfshlrGop9qd9e22c38DRcgtwG9XG7onyBP3J6MnZbm0gIlYWCG0jwGQBeGbXrmltPtonMG2T5v5mwEGmvI1DNxMlxGiEZ8Spy6mocQd9MwS50Knm8NCftioZzfNuzJJzoWj/TmLDr6k7bnWKBZHYtATwAXE/C6GlyjdTwW4GeexbqTYT4JzQWKq6J2TUdTft//DYk7EK77GMAtewCA3B6rX0+dQ3bbZpZxz+Xnuu3nwFX1L/TjKVG7Xl3fa7UkoOaydtj8ujID83Y9OBcusyaoJ6sp8mMuYo9sM/lhqTdzm0DPWbM9TnLnvcsqMzC3C4saMxC0kM5XoCCBY37CzYAzMLDrMgHANQX7LQ1BXs+wpietOd5Z8oGdU9vvozO35A4zYztydhQMZufzetSKNjfR85vvsGMBQE/djOaLjVjnT3rvNdfavrGQERERERE9GIgIiIiIiJ6MRAREREREejFQEREREREoPBxJJl8AQeGxreanFFtuxwzrEMxAPQWbKKsMW+DvhnSeREAhnJ+3XtZJ8waEggGgETBhppY+Nk3EAwALw7Z8BcL8GZJcMu1fhbcZs5rsIFiANg/aNuGdo/a9afS/vs5iaRID5H0LwsZA0CcJC5ZJ+0w6km6sy/DuinbefuyPNzYmrTzHx21x8TV/baJhFUzNERq75scCd8CwJRKv07crBuza5kMC8CWg6tTbh9pol5PbuVXRu21yMLUx+cn4WMS8j44zJ8Zttcr0FZlr/teEjrvdwS/GXaGq0lI2nXdsf0/OGK3qQKu5xDpDk4mTZH9ZNcyAIyQQDjrOl1NgsYs6AoAx0jCvanSbhMLvQPA7OomMxYnp4mtn32mAcBZcRv0HczYfbowvtyMTU3wDs215NnGin+kAl6AgnVE7h20N9isykYz5ipqkczZg8pCzlODpWasP0sqRYSwJW+7EQNAG840Y9MLtqtuEnbbH059lS7zfU23mDF27lnXZhYoBoCljTeaMdY5uQsv0vkZ1vm4uWDP5+bsGjo/C0TPb/mYGdvZY/eJhYwBHjQunjYZt52xy0XfGIiIiIiIiF4MRERERERELwYiIiIiIgK9GIiIiIiICBQ+jiRZEaC9bny3wy29tkMkC27FAh5uZNMOZGxw7Iw6fur2D9gxFkhmHS770o6wJsnFNpPgWiUJDbJtB4CWpO0S6QpkM6eRVqZDJMA7JWkTtM2V/NjvJCnOzqGjZmxJ3TQzxro2A0A/CfUmSKD47Cb+jt5PgqWTSXPSYyR3zTocA0A8sNvEgoSsiSppAgqA/wsDC6u6sMM3CrsBFWTMpYF0TmZBYxZWLTjCpl0jdv6pVf77ybrytpDgNlsiaUYMAJhe7bf+kZxdtyuUG5BrpIuEcqdU+ocj+0kAl3VIrnJ0k2fX02DWLtNxK1Is4D45SbqVh1hmS9IekwK5bl3bOUTOU5acYhZIJo8LAPzzghVWYF24AaCGPAxGSRqefda8va6JLvOVYVZwwO9Ad6dtoQgAqCKFNmbW2mINZwa8gANp3Ew/w1jQ2NX5+Hn82oxdUWm7Ru/uH6TzMyw8zTr6vqvyg3T+TN5eUL0gIfGC3ScW/gXcIfNibDsbas/2mhcAtvSsNGMspAwAW7OP2UFWJySwYeyoWBibXQtvRvrGQERERERE9GIgIiIiIiJ6MRAREREREejFQEREREREoPBxJOl8AfsGxoegzq23XXWHSCvMKpbsBNBD0k9Tqu1pOjLMA4c9WZtCTQY2oMfCsq5taqmy6+9Ls065bH7eSpN1Dx7M2TFXl1/WXXR6jQ1KPddvw+CptO3kDPDj1IYWM8bO55RqfuxYmG/fgB3cN+D/jh4jXa/zJJnKzwd3bIQEkknIucoRVmXng3W1bavk8cgM6TRcF9hrfJQEM/OOQHKczN9CgqU9GXt9x0j4FgCaSFCYZWVZyBgAGkkgupcEogdJh+kZ1TwZmiLzs6uJrZudN4B3321NOpKpBAuzs0g1O58urBs1O0/+S+TXXVWF3c7A0Qm7QMbZdrKQ9wjpiAvwbsrH0naZDQnyDHd0Ln6p307bWmWX6Qq47x+woWL2uZSoINeyI7nt2xX+vBb7vH66mwd1k+RmZJ8BrHMxwDsn7xnu95p/xFE8Y272PDPGgsZTK20355zjhMyI2c/F5oLtEM0+UwFgRrWdv2uk24w1wm6Tq8twGwnwsmkbEqeZsb7MIbrM7oojZuzdjZ82YwcqOun8bF0dKRJIDqGx7u1mrHdgm9e8pzdf5r2e4m7IdVNne88blb4xEBERERERvRiIiIiIiIheDEREREREBHoxEBERERER6MVARERERESgqkSRZAt5HM2Nry5wlFQbaAxssn9ajW3dDgAJUlXhwJBt/85amgPAnHpbwYFV0RnM2PkrY/w98eCgrRRRl7AVJbpH7XoqHVUyEqSyThNpZ3+MlfUBkCnY7WfLZNUjutP2eAJAumDXdUFrnRl7ZYRUliFVmgCgllR6OqPWVk9iVaIAYEatnZ8dkgFSfKLGcXeP5Oy6ZpBCTeS0Ix7w6iwBGW+rtAsYdVTrYZV9WGUcdpgaE45rhKyLrYdVoUnn+b3AioTUx+36j6X5wR8mVXjq43b9U6vsMocdVWxYMbHeDKveZPeJrRsAmkkFoj5S/agmxudn1YbYua8j62fHE2A1jYBM3h6TEXLu2DkG+L+MsWukxjE/wyoQsepJrspX7BapJ5cT2yJXNayGhB1jz6aDQ3w/z6izG/Biv32Ovr3ZPsNf6OGVcdjRZ58rBwftNi1s4pXlNvXYCkSTYnxaZs3gejO2OLbEjLEKfntHbfUiAJhX22TGDg7Z6oGuqkbMLzN+2+myaXS3GZtemGHGEuR3gvrCFLrMrgKvVlSsvWCr+owkbEUj1zJ3BbZSUV+aVzVaELdVgHwrA7WBb9P05LlmjFUqYtO5KiL5VDpasWIFnbcc9I2BiIiIiIjoxUBERERERPRiICIiIiIi0IuBiIiIiIhA4eNIKitiJtwaJ8m1etJmvd/RJr693oavWMBumARDAaDB5lqRGrWhpgwNu/Lw07Rae5mwQHJP1gaq5jXw4Fdrld2nvrRd/yQyHQDs7LMhbxZIq2bJzH5ykAC0VNn3ZBYqbkzaZR4b4eeTtbQfIWHw2Y38HZ0FgA+TgOAZdXb+UZ7hpEFEFqplHNljGmJllxg7HQBQQwKnLJw5mLXXgyO3jVzBroxNGieHPlHBD16MBNxZULnJEYjuz9ppK2N2q/oy9p5zRROrSNi1m+x7HVmPK7jdn7HHuZrMX++YnwXHWWEFV9CYYXdIFQk/szEWRD/OTsu23RUUbknaG5RNy67FpCPQPJKz554tk+0TKywA8Odg17BdP3u2AcDBQXueplbbB8lLffZ4sPMOAC/2j5gxVpSjc3jYjDVX8s+V0+L1ZqzKUVSDWVxhA7w1MXsv9JCHKyt0AQCvjLjC1+OF2c6FuQvMGCu+sTdng7oAsKRqjhk7MmI/v9m+z8q002V2wR77NrSYsTTssZtU4QiIk1ukqmCLuWwYXEdn7262AeD2vA36bs3aUHCbIxC9M/WAGWuoPduM7ehebcZYyBgAGhKnmbFlTTeP+3l0RifOXmQD4uWgbwxEREREREQvBiIiIiIiohcDERERERGBXgxERERERAQKH0cSC2xgtc/RAbfYlGoeyBoiYdNXhklYxxHKTZHuww1JFni06983wDsCZ0n4mQWl5tf6d5hkwdjT6xxtkgnW4fkICdNNq7XbWUvC4C5HSMqbhbEbHKG9URIGZAF1V8dSFhyfTvaJdSx9Wz1fJml6jUryTwRszBXCZF1xB0lSmQVtXctl/2rRmLDnI0uCnQDQkLChvwESXuYhTv5vJixEGgv8ArAA74o7RALJLNTr2iamJUnCquTQuzo8s1DyEFk/CykDrvNsxxIkgMuOsQtbeyHE/L7B82YSMgaAXhISr435BaqzBX7s2bXTzcLo5BCTRxMAfn9V0a7q/Ng1kxb2bTYDiljgV1QC4EHjGhKSnpysMmPVjv1sItvJwr/1cb4AFrZlBUEGSZ7YVVCErYt9BrGuy1fUvZMukxUxYMU/ZsV5l+I9wz1mrBq2KEcv2c81qTvpMue3fMyMJYJJZuz5/K/NWFueB30ZFjB3OZB+zg6SjsRhLG280YyxY8eOR9/gC3SZvYVtZqw4qHw6WUe56BsDERERERHRi4GIiIiIiOjFQEREREREoBcDERERERGBwseR5AEMFXWxHc3ZoBUL2rIwFwCkyMS9GZsAcoWPkyTYypphss7Fk6tIS1zYfQR4gHZHr+1GfGZdDV1ma5Wdn3UZbqvm764kO01D1iyMXetovztI9nMKSbmxLsEsJAzwzse1Cbudro6l7HyyaWfWse7afD9bK+38qbSddmqVfzCUdcVlIUrX/CxYW0nmZyFKFgAFeKiYBTYrSSC4KsbDpqzzMuPqxsy2v4Z0jWZYcBkAhklgtIF0FHYFvxm2RayBrSuMHpCgMesSnCHhZ1dH4ALIBpBJ2ZljnbkBYDBHCiuQ9bPQOgC0Jm3BBhaoHiHrGXEEv9m6asm56yf3ErtnAeDlQc9O1nFXcQC7rl8eGTBj57faohB15HkHACPkc5E9midX223vGPDvmM06Ajezygrgz/F9/SyIb8cGc7zDcZIEsrtJnY+LYhfb9ZDPJIDv04xq+1m7aXQ3nX9R8iwztjvTZZdZYcPDfzTpC3SZLXkbdE6QdH99YKerypMkO4DuCtu5eXu+34zNa76Kzs+wQPKyxBVm7Gc9X/NeJut8zLoZFwr8GgkC+7vXjKZLx/0cC/q8tycqfWMgIiIiIiJ6MRAREREREb0YiIiIiIgI9GIgIiIiIiLQi4GIiIiIiEBViSKpAFBtyuPYd62WSltqYZgXPaHVDk6vta3jSZEIALzaUFXMbhOrtuNqXc8qOKRJ2RVWfYFVswCAetISnlULOjjEt4lVJWKFfbJk9lrHVT+thlVKstNlyDJZRSQAaCPFFo7ZzvV0mQBQR44TK2h1ZIRVu+EVLQay7Njbaff02+lm1/Nl9pFl1pDtHMjy4zS1il239l7oSdu28KyKDMCrGrGrkVWR6c/yi6SeVPsZJdWPHIWv6LpSabuuOlJFx1WtB7AHml33rCIUqx4EAHkybTU5H64qTawiFavMw6oasWME8KpIcfJ8YftJKxoBaKyw1x07JlV0biBOKkVVkuN0bJQ8wx3HvoYcuy5yPbJr7OAwv7+qPCtSZfwLV2FOva1A1Eeel+SjBgC/RtnHYh0plldJPtMAoIYclCnVdmw9qagEAPMb7T79Z9+IGWOfycdG+DZlCn5Vx9jn9ECGV19i0+4Z7jFjNUE93yby+T0U2Go/mXyLGRt0VNZpDOyHHdv36fkZZmwY5MJxYPPvCp6m07bhTDO2IH6ZGVuf+YkZ+4OWz9JlduaPmrEuvGjGWPWlxrq302WyqkZ9mUPj5y3Yz75y0TcGIiIiIiKiFwMREREREdGLgYiIiIiIQC8GIiIiIiIChY8jKcCGcBuTLMBKgrosSQdgcpVNWrFQ7qCjVfrbGuwpZaFcFn7uz/JE9JRqG3oJSOhvZp2N6KVGeXiqjbS5HyGTTqrixylNpmXHJEaykYeG+Db1Zex78iBJBZ/dZI9xvyO1N5Kz258lwS9XQI9h62LXSK7AtylOAp8skD2NBKczJNgJAFUkhDmUs8eThWoBHkxlt0iCrMcV3B4h62ehWBZ2HWE3DXjQmG1THQkpA8AACeuyY1Ibt/diJs//HSdHtr+WhE1HyPwJci0APPjNQr0sjA3w7Wfzs2PveDRS2YLdJxbqjQf8InGFkotVxfizkdVWGMnZm4kG6TMkVQvHdUuuMXbm8o79YVdOT8ZOO+T4XKkiz9FmWlSDbKcj0DzD5nyxb8BO/EKvDbtOr+FBTPYcZc+HM+tq6Px95LP6rAb7ucamO6OOP8TZ+tl1w5aZYQltANOq2LoazchIzhE+JqHgJZVz6LTFOoeH6HhNzG7ToawNNG/NPmbGpifP9Vo3ANTG7H0zN3cenXZzdo0ZY+HjC+PLzdjD3V+ly2RB4dmJZWZsCHbf+wZf8F5mQ+K0cT/Hgj46bzn8Vnxj0NfXh89//vM488wzceaZZ+Lv//7vT/YmiYiIiIi8qZTtG4Pu7m48/PDD+PnPf46Ojg6kUim0traivb0dy5cvxwc+8AHU1/O32VJ67LHH8MUvfhFdXV1lX5eIiIiIyKmqLC8Ga9euxW233YZUKgUAOOOMM7Bo0SJ0dHRg48aN2LhxI+655x7cddddWLp0aTk2AceOHcOXvvQlrFljv0oSEREREZHxSv6nRA899BD+7M/+DKlUCpMnT8aqVavwxBNP4Ac/+AHWr1+P73znO6irq8Phw4dx7bXX4oknnij1JuAnP/kJ3vOe92DNmjWoq6vDl7/85ZKvQ0RERETkraSk3xg8++yzuO222wAAyWQS3//+9zFnzvhAy+WXX46GhgasWLECuVwOn/rUp/Dwww9j1qxZJdmGNWvW4OabbwYA/N7v/R7+6q/+ClOnTsXtt99ekuW/VgCgsqgF775+G1JrIq1qU6M8VNRWwwKT/uFjFuCtIWe5QMJk7XX+nfVYGI00v3V2BN7Ta/e/pcpOO+oIgRYfd4AHcFnn4ElkPQCwr98evPZ6u6MsvOsKwA6Q/8Hy2K5tYueZ7WcNCZs6LjEcsY08KXbkax1hVRZKriXBUhbUBXjgNEuCvskKForljzEWbI2RECoL9bKOvADQnPQL5WbItgNAY8IGKXtJCJWtn/cb5UFnFsBll4NrO9kxqSHrcXUpZusfJF2rWyptG/DRPO+mzEKs7DkUJ9uUc+xnjFyPLKjsuh6S5JikScCcHQ9Xd+2GhP0MOTxirxF2z/Wk+X6y5wN7jp1ew/fz4LBdbnHhDQBIkvORGnU8M4b8ntfnkaAxu+cA4CjpAH9sxJ5P1j0eAOLkMXxw0J6PVnLh7R/gAXU2LSs+Uk/2vSHJP5NZN+YpVbYbc8+ovb8AIBX0mrHBYRtenlpJKlA4sKDxpJhNmDcEp5mxlrztEgwA3RVHzNgToz82Y++q/CCdf3ZgQ8H7sM2MsS7FLBAM2FAwwLtGh8HC1/0Fu+8TpaTfGNxxxx3IZI5/fF1zzTXmpeBVF110EZYvP54CHxwcxF133VWybRgeHkZLSwvuvvtu/OM//iOmTp1asmWLiIiIiLxVlezF4IknnsAzzzwz9vPVV199wulf+/8fffRRbN++vSTbce6552Lt2rW44oorSrI8EREREZHfBiV7MXjkkUfG/vuss8563T8NWrJkCRoaGuj8UcyePRstLS0lWZaIiIiIyG+LkrwYZLNZ/OIXvxj7eeHCha+/4ooKLFiwYOzntWvXlmJTRERERETkDShJ+Pill15Cf/9vwheubEGxuXPnYsOGDQCA/fv3o6enB01NTaXYpAlRgA3HsqBRjLQ5zDpeyViwtGvYhqcGHZ12j5H0MevIyDov1jgCWSw8xsKyvWn/7WSh5FabnUKvI0zXR5Y7QgPZdj3NZD0AECeBsCGSJ2MBtxbSBRTgwXF2PRwc4iFO1vmZBZ27SaCZrQcA3lZnt7+bHOepVY70MkHyffRfHRyNPGlH4EmVdqdqSXjXFYBlAUV2SAqkC2gAfjOwwGgN6WrbkORBxGEy/yQSwO0etRdpJenaDLgCxKTLMAmbVif4Mmn4mYbBHcFSEl5urbL7yc6Rq8sww44nmz8b8Acu65ycJMfZFV7Okf1k4elBtp2O65aFiulxJrM38GbKII9mGtzuZxUkANTE7fp7SQNc9rhmgWKAb+sweY6lybHPkOAzwLsx15H1sCIdAC92cRqp3sFqYrytgf861TFgV3Ya+bDtJp+zozl+jbCgMQtON8UdH3ZZGzSenLQdnvuz9l46UNHJl0k05tvN2OKKJWZsMMdLK+xMPWDnb/qEGTuaG6TzdwUvmjEWND6Qfs6MuboxT8/PMGOP93zdjNFuxo5Ac03B9vSahfHH7hiepPOWQ0m+Mdi9e/e4n30Dv21tbeN+3rNnTyk2R0REREREQirJi8G+ffvG/TxlCi89VWzy5Mnjfn755ZdLsTkiIiIiIhJSSf6UaGBgYNzP1dV+tW+LpytezptdX3AMj1V+/43NnAR+Z+ia0m6QiIiIiMgbVJJvDAYHx/99V2Wl4+/aihRPd6q9GIiIiIiIvFWU5BuDV5uavaqiwu99Ix4fv/ri5bzZNRRacdHoh153OhYCHXJ0LhYRERERORlK8mJQU1Mz7ud0Ou0132hRu+7aWts++80sAFBZVHWG/cJPCtPQCgIAr07D2qdPqeaVHlg1EFbFhrWzZxWRXOs/SsrQNCbtdC2VfEd706SqUI5U44jxF6hqUqmihmx/NRljFSUAYGqNHWNViVwViBi2Lla9qcFRuaOJVdQg55NdY6wKDcArcrRW2mlZJRRyKTjHA7L+hKOKDauCw6rLpHO2mkeFYz9ZxZt4YA/eUM4+BitJpSEXtv50jl/31XG/ijv1pPoSO0YAr3w16lh/sRFyPF0ak/7/cMMqRY2QylOVZPWsKhDAn211ZJvYNeIo0IXKwO88xx3bFCP7mSDbWRO36xnI8I0aJNvfQKpH9WXselx1xCYl7bVzNG3nZ88Rl7fZQio4Nuq/gGHycGTPW/bM6HJUcWsh1fJIUSE0kc8qgFdv2tfvV1WIfaYBwORqO+2hIbvMabV2uoO82A6m19r9fKHH3gtTqvmveIdeU0XyVZUx+wG4P91nxubEeI+qzvxRM1YTs+s/lLXr3pp9jC5zaeONZqwR9k/V12d/QudfEL/MjHUHR8xYQ+I0M9aS51nZVNBrxuY1X2XGWKWj3oFtdJmNdW83Y8WleE4vJAFMp/OXWkn+lKj4F/riX/hdil8gTrUXAxERERGRt4qSvBi0traO+7m3175RMT09PeN+njRpUik2R0REREREQirJi8Hs2bPH/dzV1eU1X/F0xcsREREREZGJUZIXg7PPHt/NrbPTrzNeR0fH2H8nk0m0t9sueSIiIiIiUn4lCR+3trZi/vz52LFjBwBg2zYesCi2devWsf++5P9v78yjrKru7L/vm4eaqIFZShzAyOCYRsV0TK9IVIyatAPiahVjOkmjy7CWtLSobRLaVmNa2wSUtFMw6G+lMRrQRDAdHFCGRLFlEhGVUYay5jdPvz+qebHe2QduWVWUWPvzV91T557zveeee+479Wp/91lnGVmKPu8UwC3US8kVzDphi8qLieSYKJi1CXBbdQYT6tpoSpmKrIFhc0/JBKi28WGXXwARyCX5+UzoXEGEukzg1pqkTYLptBqJ0ncoEX65mAZFhkeJSNqiAW3PmnWTpDMHTIztXpTrkDZzBfM6q4kIEgCIlh1hIhyPEQEqAESIuLMhGTLKBkfiRpnXImgOwhT4ZYkol4ldc0TcDgA+S1+lOGQuA1xQ3Z4JGGVMfJzK24TCZl88CYF5TVUBniiCiYfjWfMBKfNzMXWezLEoE1RTgbsl4QA5P0liCrkUeANAhs4Hc974LGL0ArnOLBm7ZtJPhpwLcJF5W4YIt8nYsWcOANqyZv9DQkQQTeoBQFOaCfnNekxMzpJfAPY1r5QoWZf9LjMfAkArmeK15tJiZQC5qH0Jd+8FgIuS68uJQJ6s4UEvb/ODVnOOjyhz//lpbFmVUfYJyUpR6bjzpAKAAYVKoyxTMMdpZNCst87yyNZ63elO/8Y3mZZHveaHgnBuuFH2x5bfGGWt0Y9d9Q0AwwInuap3+oDv0/LW2GajrCI6mtQ8PPTINwYAcP755xd/Xrt27SEFyA0NDdi6dSs9XwghhBBCCHF46bGNwaWXXlp0Mm5vb8fLL7980PovvPAC8vmO3WRNTc1BNwYbN27Eo48+ijfffLOnwhVCCCGEEEJ8ih7bGAwcOBDTpk0rHs+bN6/4wb+URCKBRx55pHh84403WlOVrlq1Ct/61rdw11134YorrsDzzz/fUyELIYQQQggh/o8e2xgAwPTp03HyyScD6NAZ3H333UadXC6HW2+9Fbt37wYAnHPOOZg6daq1zYULFyKb7fgHtEKhgMcff7wnQxZCCCGEEEKgh8THBwiFQpg/fz6uu+46bNiwAY8++ijWr1+Pyy+/HIMHD8bOnTvx5JNPFsXJEyZMwIMPPgiv1737ZsEiuv00jzzyCFasWGH9/XPPPYe1a9d2KnviiSdcx3AAj2MKg5mjMXOaLbc43TIRJ2Nfwr3atStCY8ZRZeb92U9EuccTN+ZdplYUABf6cgEtP5+Jl1uJMSurN8DiXMycfpPESTNBhFIDLRqtNhITu8c28TITsQ4wtarIuJ04AGoCzP3XHBMWO3PBBrhrdYqU2YgTcWY5cYtlMAEowAWjrC4TKTsWEWeSuCRnidA3ZImd9R/wkP4tAlwGc1lm4uGwz73ImgmA2TXZXIpZ/KxNVo+JfwE+dmVBU1nKBOa28cwXTHEiuyKbIJq5LDPhd4GsbT6bMzkprg6Yiw4TL+9O8AUzQN5Lu5Nm7FGreJnET9bLMpLwIGYRlrrVyraT870WK2u23pf5zZhsLuJNJHnHIJJoozZkjt1eIkgG+JrJ3nWxrNl31rKu20TJpTCHZYCPX3PW1IVSl1/fYFd9A4DfMeNsTJvPLHMoBoA386uNshMKp7ruvyFnWkc3eojzMRH6Tgp9m7b5Yc48Pw7TzZkRKrgXc5e6MXsd04W6t+jxNEC1tbVYtGgR5s6di4ULF2L16tVYvbrzzT3wb0fXX389PIfILjBlyhQsXboUuVwOjuPguuuuO2QMmzdvxmuvvWb9/fbt27F9+3Z3FySEEEIIIUQ/oFfygwYCAcyYMQM33HAD1qxZg+3bt6O5uRnV1dU4+uijcfrpp7v+lmDixIl49tlnsXLlSpxyyik47bTTDnnOT3/6U/z0pz/t7mUIIYQQQgjRb+hV4wC/34+JEydi4sSJ3WpnzJgxGDNmTA9FJYQQQgghhCilR8XHQgghhBBCiCOTI8tq+HNIqYaHiUiJTgkJIjQCuFiICYUqmJoMXHyVJgImJsANWdyYmZtybcismyBi04Ehm0OzWZYjgrA6i0MlE7syVS/TytqEZ1nmYkraZALzJoufX5gIv/1EtBcj4j6Ax89cr8uJ6/OeBG+zOsCccs169RGzkMUOAAkSKIudiWIP1m4psYx5oeUBopK2wIStyYL5gNrclCt85o3OEgGqDSq2JaJe5shbbnEpjqWZgJa4pROhccTiEszO91FZLof15SHC1kjQvHcZ4vILAH4/WRvJfAoQoW4qxV91zE05GjHHOW9zwiaC7kTG7IslEcgSZ3GAPwspS/+lVFicyZnbuZ+8V0IW8TFbxz3kmvYkzWuqIOJfAGghjy1LNsGSSjSQ5BcAcEKleU1sbWQJQQCgOujub6XMfb7MklCkPWPW/Thulg2JmH3vtyVbIZfPxime4xcaIf/KPThoCmMTKfNZCFmSmbSRpSSec+dCHgbJqAGgvjDWKNvl2WmUVecH0vOZy3JjxhQPM+fiVbmVtM1yx+yrrWC2ebz/bKNsG9bTNvvS5ZihbwyEEEIIIYQQ2hgIIYQQQgghtDEQQgghhBBCQBsDIYQQQgghBLQxEEIIIYQQQkBZibqF1wHKSzIRxEm2oX0JdxlXOto0Ff/Dy8z9W9iSCIVl63Hbuy3OMJklMZIBIU0yNbAMPgAQtGRAMvqxZG9qSplpGSoDZptpkpRhAE+AgE9I9qUKUrc2aJZ9nOBtlvvMNuPkHtmy8sRJtqIUOZ9lCKkO8jaTLjOcsKGPZ/gNrQua2SfasuYktSX9CJLsMu6fGg7LQJQmGYSiJKsRyx4EAO0pc0KESFYh1o8tJkaeZJGxURY0M4ekydgXSJooW/alHJljAS/JAGS5HpYtiI2Jh4xziGQqAvg98ZIsOqm0uWCFw+4zV7Fr91uy/WTIOLMxLSfZj9L5LvxdjlRNksxVLPsQAARJTFGSUYkkYQMAhMj57N4NDpE2SYYrgGexY9mbKkhWIa/Dxy5C5ihb72zvzzzJAsRfVWZhE3l/AEBtyIyVZTUqkGsfEuGBtpJMRwy/ZZwYyZw5diyrT4ylsAPwZn61UXaG90yjrDlrZnZjGZE6MMuTafNlOyJQQc/ekzLrDsNwo4xlOhqEY3lIZOh3Zf7XPN9vnm9rc2fsZbMw2vmwsmD54NIL6BsDIYQQQgghhDYGQgghhBBCCG0MhBBCCCGEENDGQAghhBBCCAGJj7tFvgCkXGgJSwXKABCwiJ9aTB0hFfraYFbxtSF3QimihwIAxJNmWYTYoleQsoxFzeYnW9IIERIyoS4A1JeZZTEi1I0S8S+rBwAVfiYIM2FC44Eh2iTtiwnPqiy6IiaGK1jEfKUw4TPAZHPAJynzhsSIuJGEYyVDRH8hIkoFgHYi4qwlIlQmeLQJJpkINADzgWVt2vAzAa7PFF7bYKLcLBHlholYldWztumYdVmcsQxRdgKIEEG2n/STsQhoHSKCZW0yQbFN+M0EwA4T1fpNcWMuy+P0EgGul6xjtpgyGctCXkJrxnzAA5ZnwetSeM6eLya+tdVlotoyMh4AECfj15A2y0JkDQ9Zxm5Y2OxrP1mH2snjNSTM22xMu0u+YRvh6oBZm7XpJddURt7zAH/XsrFnZbYkHQHyuYNVbaZnA0GvOc5RshSw93wj+YwBcGFtPGfevKjX7KgxTT74ANiLRqNslH+QUfZ29n16/ijvSFpeyq6UKR5ujW2mdYdXneOq7paoUWSlUDDXxqMGnNvp2Ou0um+wm+gbAyGEEEIIIYQ2BkIIIYQQQghtDIQQQgghhBDQxkAIIYQQQggBiY+7hc9jussmiSiohjjl7iOCXgAYGjH3akzolLa41zKXSObymCcuwV0hQQRhTPxUZRHl5ohilDntWkwWkSblMeIGOSxi1mu2uEZ6iOs0E5fXEEdhW5wBIo5k88F2PhMlt5H4mciaieYAYGDQ7Iw5lgbInw2YWykAtBARZjlxBCbmuwC4CywTJAc8ZpsFi1iTuf8GA+bEZWV5y/PlIeJKhq/gzuEY4E6/BdK/x+Ei51janCRBIjRm41QW4KK/LLkfOVJmdz4momKLy7JRzzJHmPCd9cPq+YM8TnY/88w93jIfmCg5SeZd1Gfe42TO9volbRLh+QAyb1syvE0m0A+Sa2+3iLS50Nmdm/L+lE2gbbbJEiZEiQCWvX8AIEi6Yms4S34BAClynQlyPnvPJizZOyrJu5bF+X6L2VE1cU0G+Lt2IDEPTlgSFuxPkuQCxCW52dTxW/lSYLBR5iML/m/b/tso+1rwEtpmvNBmlL0QX2GUDQucRM+vC5k36vXEe7RuKRXR0bS8vjDWKCsfMNBVmxsbF9LyyjKzTaOOnI+FEEIIIYQQhxNtDIQQQgghhBDaGAghhBBCCCG0MRBCCCGEEEJA4uNukc0D+0tExOVElNSace8IvDdhireY+6GvC26tDUToHCZ3PmsRwDKYyyPTXjVbBLA5lxa6FuNHKqhmtHRh7JnYtkCEgOw6be67QdZmF9yDY0RkV0XcOVmbNaQewAXEGSJMDZBr91kEpGGXotwoESQD/C8UzJE4x+K0tMkcgVkZI0MEpDZoPwHeDxMA50lZKGSKAxMJ7lIcIkJjJqjOEmEp6xvgY8+u02dxynULE+8GglxZyoTCXuJWzsiRdQAAiN6SCpXT7e5flW7nrUM9efmaFyIi77hFWMpgzzdbtKrJvAGAmMvnoSVjDqjNgZ3RTO5TFbnHzRYxeCUJk5iAW2FC4yry2KXItK8lSSUA7nTPkocMIolHWtJ87Ni7miXksL3TR0RNIesbbbuNMiYotr27B5CX3abWmFF2vP9soyyWM9c7AGhz9hllTGgcKZTT890KjVmbu9KmGzIAJJ2Eq/63ZEyR9NlVM2ibFf4hRllr5mNa93CgbwyEEEIIIYQQ2hgIIYQQQgghtDEQQgghhBBCQBsDIYQQQgghBLQxEEIIIYQQQkBZibqFA8BfYvkdJ0kd0iT7QznJ6gMAVcQ+PdOFxB8RkgGCZcz5hFid27LlBEhWh0aSlmEIyargtWRPaiL9V5OsDrbsS16ypWXZgipJRoskT2ID0Cwh7rKJRC1PEouJ9e+zbNFZRo8Iyc7iJ+PUQrLQADzrSZRkl2GZM1jfAJAhdVk/LDsLAPhIxhuWMYeVxdI8Ww/LeBNyzOwXXnLtUT+ZoABSSfNGs0xDNjzkOsMhc9FIp8x+/H4+cf0wy9m1+8mzYIudnZ/Lm/Mpl+NzjGVVYuNcIPPGsQynP2Se75D5yNYxD58i8IXMshy/9ZQsyQwUJFmyvGQhSOb4ohHymvOhLWNeQJDMJfYcAsCQUNooayTPje35ZNnE9pM5GiBZy2KWORL1uoufZVGrCVoy4/jNNrfFzXvUZslSxd6fDDZOsSw/N0niZ5nl2LvGlpVoX9KcpMdVmJN5R4ykJATg85gv27PKhxplbRmyDrCXGoDtMXOOuSVgSR11TmCiUfZhqsUoq3TCvOFCtVGULphzeZdnp1E2zncubTIJMytR3Gkzyq6suswoezXOsyS1ps0MRKWZirxOKz23N9A3BkIIIYQQQghtDIQQQgghhBDaGAghhBBCCCGgjYEQQgghhBACEh93C5/HFEF9kiLiKSJIDlls2pl9eqnAGQAGhmwCILMsQM4fETXPb7UIsvxEUFZBxNNMKDXAYhNfQUTWrUToVGERDe6Lm2VMvNxOxt5nETeS7qnYlmnMbJI1JjRm99429nVEZNecMffzXJDMY7JoxwyY8DtI5gIAtBOhs5/82SFuEUTniFI54jUHz0f6zxPRHgCks+ZA54mA1uMxJ4mHCCMBIFphCuxScXMZtYlyPZbxc4PtXB8R9bL4sxlzPFJp/gqwJQ0ohYmMAffXGYySB9QCExp7Aqye6ybhkMt3yDNrS8zgI3OUCVNZWdjHr531FSV1M2QuR5jiH0CciKQjbI50YXoyoTETs4csc4H1P5xoSNuyTOjLr7OMXP9QIlrf6/Dn03afS6kLmm3aYmJNsjW4nbyAhkd5nMeUm0LjBqIz/lIVUdeDr83vt5hzrIa8rPYl+TPPRL1RL3mB5yrNMsu7qjFtrre13qhR1pAjH3zARclMaLwr/b9G2ajgJbTNnXlTfFydH2iUrW9vNsranH20zVKhMQAMwrElJRvpub2BvjEQQgghhBBCaGMghBBCCCGE0MZACCGEEEIIAW0MhBBCCCGEEJD4uFvkCkCsRK/DHA2Zc3GrxdEwSrQ6TE+2L8nVOhXE3ZQ5MjLxk01w2EwMDZmgmQlDPyYiYYCLksvJtZNuAAC1RFMVINvcBBESMidnAGCmvuzeBbsgbiwQVRUbZyZmA4AMEfMxl2M2TDaRMStnbbJGUxZn1XLijJom4shKi3svg/XUljGXrAo/F8MFgmZfTGwbLTddRL3kOQKAPHExDRDnYpujMHP6ZULhsM986HIW4TaDCY0Z0Si3+WXxs/5tImN/0J2o2MMeOkubVGhMhpkJij0k2QEAFJjaljyKtrH3kOeGPd+RgDlHmTjeRlPKXPCYeJmtNwAXP7MVp1CwJAcgw1RGRO9JIrq3vVfY2sYSQDD3dyaeBXhiBta/LfmHh0iFmag4TtYBvoLzJA7MVb6SfHZgiT8AoJUseey9tifOzx9RZo7TiDLzwWGPR3WAPIgAQiSrB/vsksoRF2/L/WAC3sq8KSgOg8f0obPNKBvljDQrktNtguYvBQcbZW9mttC6pexofImWHzXAdFnei62djqvRBUv2bqJvDIQQQgghhBDaGAghhBBCCCG0MRBCCCGEEEJAGwMhhBBCCCEEJD7uFgUAmRIRERM6eYlCbmCYi4KYWKeNCI1solwmahpK+moj2kAmUAO4yzIT9Q4Lm/KrT1J87xklwjXmYMtco4EO1+lSQkTIyIRjVGgLoIKI3BpI/KyezTCzJmBeJxOu2QhR4RxxgCXn2oTCdUQYujdlLgXM5djmYhojokNW1xZTGREvsznu1pEX4OJOD1nxMimznp+4pQKAz2+WM7fUnGXee1m7zM2ZiCgdD48pR+oGw+aiwQTFVPxraRPkmfVZxORsnL3kWWBj57EJQ0nCAioqJuc7Frtzh9mDx8w4mcgZ4OMXAHEpJs7DXsuzlCPPSMhrthn0ENdly4shRZx+2QwtIyJpAGhImYJRJoxlz6dttWPOzex2MEGyzaGZJcBg18kc6QE+9gw2by2m07Q8R9TcLSTJB0vSAfCkGKyfIRG+Dm1sMu/zMRXmQ9uaMuNM5vg6VBEwz4+TG7Ul0WyUbXPW0zbPCU501X+lh2QuAZBIm47EGcc8vw2mI3E1zHMBYE/KdD4ehuFGWZPTYsZZNpa2yRgWOKnTsReWTC69gL4xEEIIIYQQQmhjIIQQQgghhNDGQAghhBBCCAFtDIQQQgghhBDQxkAIIYQQQggBZSXqFh6YGWLYTqsmyCzReZsNSbPMIZkeBpuu4ACAD9vMMmZnX0uyHURJth0ASJMMDszmfXeCZKaxZBhhGZBYpglb9olGMk51IWIzT5IVsExFtpiaSZKOMMlwwrJUAEA7y4pEJgm7RwAQYBlrWEYMUo9lqAKAxrT52FeT7DJtJKsPyxACANUBkiGFjKclOQyFXWeAZObxWDIVZUnWE8CMMx4PGGWRASRFCABf1CwrkMxZBcvELZDnniSMoRl8cmlLpiOSKYm1yXJnsXgAIFhuSQdWer77JFFwWKYi8nx6zNvxf78gbYZZ9iZ2Lp94+XayuJExyWb52LO5F8+aF5Ujc5FlibIR9pn3I5kzB9T2LETI+XnS/74UT4NTQc5nz3fOZaYiAPCTBzzG1hyWpakL2dGGhs1neXeSZ7FhGbGaM+7WcJYpCODvQFaXZdpLWjLYZcjYbYuZ9+jkGv4Rz0+ehw9azfNZvZCXPwu74uY414XMcR5bVmWUjcyY2YcAnoGI9c8yBQFA0jHLkzDLBuFYej6DZRvai62u2jzefzZtc0tmhVHWVuicKclPsp31FvrGQAghhBBCCKGNgRBCCCGEEEIbAyGEEEIIIQS0MRBCCCGEEEJA4uNu4ThAoGRr1ZQ2xTpVAVMoZBMqMWErg4mPAKAy4E4o1US0lW0WZWmEzJIqot2qJte5L2URTBJBWpAKyvh4sGFiTu1EWkhFXgDQQoTGwyPu1JVsjG0w4blFG0l37kxU3Jwxa1YRUSrAx5mNSbnPHL2C5X4wIWLY606QDAB+EpNDxLLxrDkZy/xclJXKmKq/8qA58T1eItxu50tjoMrsy0NE70zoCwB5MscYTKjrEOE1AOTJJHdISKxNa/9M6EvaZH1bzyciTHqdljXQ8ZvlTukCDMAJk0Yt66VDHsY8yQQQCFrmWNLsK0zmY5aIYtM5npkhmebC2FKY8JvdIwDIFcz+maC5Itc9gSNLDhC0zNskzOuPkXpVJDECWy9s7EqY45m0JGYIk7WATDG63kfJuQBPLOEjN6qc3Hbb54SBIbOsOmg2sCPGGxgaNcfeS4ZkBxHnV4f4yy4ZM8ubUyTZA5ljQyNc9P5hysymcry/yihLgCeLYAz31BplsZy5MDORsY1yZ6BZ2IXEDJ839I2BEEIIIYQQQhsDIYQQQgghhDYGQgghhBBCCGhjIIQQQgghhIDEx93C5xRQF8yVlJminiQR6NkcDZlQuZU4L7aRMsB0Yga4qIiJpxIW3RlzSd4dN8u8REFrEzRXuNPXYR9xOAa4UItdZ5Xf7J+NEQAEbQrgEti9qwxyFWaciA7LicN0IxEPd9Q1xWNtxE2ZtWkT6AXJ9TOhcJooSP0OF7Ox60zSa+fjxOqGvGZffiJk9Fpi8pHVLUXEy0wQHYlwMVuOGGz6B5qxe5l9LgDEzbFnTr950j0T7wIAUmaRh2n5mOuyxWWYiYLz5Fn0WP60RN2LSV1PkBRaxMeeMBmAgFnmRMjiYFHlFvabg1ewOKMzbGLfUrxMgGsRH0cDphCSOSfTNi0EPcTZPGOOE3NIBoAM6T9NnqUQWUeSluvMuHR+pg7qlrpsxashruxp6ooOxMnazpI1sNht73TmfMzKWKaMZouDOnMMZ/r6MiLYB/i7nsUUJR8UGpN83g0hWUo+jpsdVfrN4AOWd2+t17Sab8+YA1XphOn5I/wVRtn+tLmQRdmA5ippm0zoHCqY/Td69hllkUI5bZM5Ipe6IVcWbJbwPY++MRBCCCGEEEJoYyCEEEIIIYTQxkAIIYQQQggBbQyEEEIIIYQQkPi4WxTgIFPioJgiuhymv60LcVHRR+1mWU3QrGsTOn1ChIjlRIDE3HcrLNqW3UQwOSRi1mM6J5uoKE3sIENE/8NExgDAdIiDiAB4f9qsyJwoAffuxWVE6Gtz9GWkiOtmHRHIAUCUiHX9HiK4JLI7JjIGgHiWuKCS8fQTd2om/gWAKKnrI2UeUgZwJ+wUESRXB80JbmvTrTCU3fYMmTcAkCOqPR8R4zlhi+M3UwCTrpgWzoaHJCxgLsG5WPesOL1RMqC2JpnzMnFlp87FQT72VFRMLLudqKm8LsTdO6My12ZfgM/7QsF8PlMp87UaCJjzhol3bQQDZvxtSfM6gxYXcLY+MaFwOs/Hni3jtrXAbb08EQBXkXFilL53D8BK2bUzkTHAXZZjZB2qIWPXluVjx5JAxIjAnSXkcGyiefLcbSfPNxU5g7+/95HECrXE1T1vedcxl+QyvxlAKmfOh4/aeZaRiNfdM9JSIMEDSKfNmHZ5dhplI/P1RpnNTTkM84MSa5NRKig+GBX+IZ2OvU6r63O7i74xEEIIIYQQQmhjIIQQQgghhNDGQAghhBBCCAFtDIQQQgghhBCQ+Lh7FIBsiRDHpXkudTMGgCi5IzHifmgTLweJ/W+IOjea5zLnRFubTOzKKFjqEc0gFQXbHJIzRM+2O2kKnSJEgMvEvwAQIOPERNrMYdliUEnde5kYzhYTLIK2UjxEpGYTWZcTgR0V4JIy2/RmQmVGyuI4ysakjAivmQNrkAgBAS7QY+dHiLAzneZLY+snZtmAsCmcC5RZxJHl7u4nexgLacsYu/zzjjdCYrKE4zD3YbK4MaEuAP6Ak2tiQmOHuBkDgBMmiwERGiNkigOdJJvNQIE8JMxhOhe3iNGJkN9H3MqTKeIyHLK4axOxa5qsAxHikJzI8HnLxP1M15oh1wNwATEry5J1zOZ8zGKyORKXUrCsRJVkbWNrC1vDAT5t/eQd0Jxx+RwDaEubjbLPCQ5N9mBpk0znUabJL/Ym+YUSQ2IEyLuylUzRHFtYwV2SK0gSBDYfgl5+oRUkYcHumBk8EwTbONl3nFHmJQ/Dithiev7Z/ouMso2NC42yyQNuNcoifu587I6N3Ti3a+gbAyGEEEIIIYQ2BkIIIYQQQghtDIQQQgghhBDQxkAIIYQQQggBbQyEEEIIIYQQUFaibpED0FZibR4myv4oSWCwP8XbjJA7wuzfc5YUQimSoIVlIKgmIn6etwOI+EiGFFKPZZkYQazXASBGLOlZpogkTzhDsxJV+M3+k6QfW6aHMpJNpJFklCBdW3M0sfnAMlKxJDCA+yxXAZIhJEmym9j68pPsScmsORmDpB7AM1qxDCMs0xAAeB2z3XTefHBYNhKWaQgAykjWFi8ZpwLJWpLjl4kwmSM58iwXWDorAB6WdoylQsmwceJtOtZcUSUxWa6J4QmRmFgaGxa7BZptKGiOhy0rEcJk0SoLmWUsoxMdT9AhzZPn0yEZy7pCKGjORZapCAACJLNOkPRfIO8FW1ai8pA5SdMkO4zHspK1ZcxY2fMZIhnC/JaJFyLvC/Z870+Z973cR15qAOLsmkg/1QF+fhvJ/sTWtipyj5IuMyp11CX3jryrbE82ey+wd2WIvH8AYG/CLEuTC60j60C75YMCe2zTNCazrNWScY19nqkimcwyBf4sDQiY5fuS5rPwDv5slI3znUvb/NDZZpSxDER70WiUxZ022mZ1fqBRti77UqfjowruMy91F31jIIQQQgghhNDGQAghhBBCCKGNgRBCCCGEEALaGAghhBBCCCEg8XG38AAIlYjCmFt4jAiNKrlWBs1E+FYVMBtlgmIAKCcC3LcazMpVtUT0x5tELGv+homaMkTEmbIIHpmgq1TIDdit66vIdbKY2M43Z9ERtmfN2nVBU/3EhF9MIA4AcdIm6z7UBVFvjoyzn4gTQ14+SVisedJmlAgJm9J8yaggYrwoEQgmiTgQAFIFs92qYNooy5HYmeARALJEfM3OzzpmTGVBnh0gx9pMkbIWm/jYLHNCZExZWdyWHsAlRMnn2FTvfnNMnAhZtLyWvy0x9TapS689HORtRoj4LkzEx02mwK+QtCyYJHwPWVvyCT5OgZDZrpcI1FNJ8zorKpK0zUzaHPtUwrx2JqQP+/l1thMBL6vrEKEuAJT7zbmXypOEAeT58JM4AZuA1jyfrUNtJDECwNc2lhSDrZcAUEtEyR8nzXnfmLEI5AkNZH0oIwk9WKIKljyjo65ZliDLoC3RRn2ZWfZJyuyLCZIbLBlB6khQLF/BvgRJ4MA+OAHYkzDvR4bMOxssN0Kl37yfZ+TPNMo+zO2jbTKh8FFl5prV0h42ygahmraZhjmmf+Ob3Om4FWvoub2BvjEQQgghhBBCaGMghBBCCCGE0MZACCGEEEIIAW0MhBBCCCGEEJD4uFsUYApumViUiXejRHwEAENCprDm46S5fysVPR+AiX2OqTBvcxsROTOHY4CLn5kkil87bZI6PLM2meMnYBE/E+EZE7jZxMcRIgBmQl8mqLbtsJkjsZe0yQRyABcFlxOhLxM5D7C4e1LBJemfOQozkTHABcApIiSsIG7EABft+4gbsp/MG3aPAPfiSjb2HotjaJ7MsVTcDMofMYXTAOBpMa/fN8AUqVFRrsXtnMLqEiWeY3EudqJE6Btw6dpsgy1OESI0ZjcZAKLmOCFFxjlF5phl7Bw/WTPIescExQCQdSlCjZSZcWaJyBgAvGQdYs7JKZIIgD3HAFBBnI8zJBEAc0AHuKMyfT79ZpnNmdzmslxKliUcsAiamWE3wyaybiZjykzMh4XN+9FscZ0eTN7pbMVibsit5D0N8PdfnHzOYMlIAH5NDKL9RUWAD3I8ywTVZkwDgiRZg2UqBMl7rSltjn3E614MztiQ32qUjfKMpHX9jhnTJ0SQ3egxxcvbClzQXI+xhzw/5PB3Sm+gbwyEEEIIIYQQ2hgIIYQQQgghtDEQQgghhBBCQBsDIYQQQgghBCQ+7haFApApEfEwUTEzCmxOc1ERMwxtyxAnTotjaTURzjGY0NiiKaLuw8xlsYb0HbFogpioqjZoXnzC4vy4n7hJMpfHABEv5y0ez3tTZrDVATMmNkw20R4TtkaIcM4moI0Q0aOftFlNhMZxIv4FgDCJlYmcmWMpExzaoKJei+AwUzBjTTFxJIkpYHE+ZrDzmRCRCTsBoCxiijiZpjbdzsfeGyXjlyIKP+KkSQXBgHtRMqnnMHU+wFX7QeJ8HCXOwwCQYzaszOWYnO+zLBoeMqbNpssx0hbRPYPcjgI53WsRcToe8zqzaSLyJnPMF+DzNhk3x9lPRP8+sjZkLGJoNp/ZmmMT5UZI0gD2fMfTZuy2NYOJkr2kboQ4qPstgmbWZpKUpS0O7Gy9Zetoo2V9YLQRUXAFef82E23pURE+RxrJHGPvP5tzMrt31WR5YeJjn2XNyJLbzNbG11t3G2WhAkksAOCMAQOMMvZesAmimSi4jLi6T/SPMso2xZppm1+KVhllryfeM8raiNC4NfMxbXMbWVpLX5V+dGFd6yb6xkAIIYQQQgihjYEQQgghhBBCGwMhhBBCCCEEtDEQQgghhBBCQBsDIYQQQgghBJSVqFt4PUBNSdaadmLhXRc0MwDkCjarclPGP4QI9guW7C7tRLjO7MbDXXAQZ9kG2PlxkgHBkjwJAXJ+U4ZYpVuS4ITJzI2SbDtBkpVoD8k+BABVfvP8NnI/Q6RNL0u/ACBHypkdPcsSAQB+L8uqZBLPsoxKZiYRgGfuYL37yXUWLBmdMmTehrzmZExasoGU+81YWfYolrXES+IEeIYVln0pSDK+BByeDSRPrpM9ynlLRqhsG4l/b8IsIw+IEzUzFQEAfKQvMu8cy5pDYdmGvOTeRXk2EZpZiJX5SToOln0IABqbzbJY0igqsCxPGUvmKtKVh4TkkCwyAJAzbx08JEsWOz9HMqsBQChiPgvZtDl2yZS5CHpJ1i2AZzVysmZMWcvzyVrNWjIDuYWteWxtypGMZbZkWm5neNiSyaxA1ofaIMn4Rt4LGUtmuShZw1tJpqIIeaex7EMAv/46ktUvRdYrGyzTYJQ8C2nLo8SSjrWTjIqj/INcx7Q7ZnaWIdnV2GccANiQ32qUjUzWG2URr/uPwkny3FTnB5r9OGY/e/2NtE2WlWld9qVOx5UFS1a6XkDfGAghhBBCCCG0MRBCCCGEEEJoYyCEEEIIIYSANgZCCCGEEEIISHz8mVm/fj0AUyzMBFVJIgCyiWWIrgYRIl7an7JZnZtlA4mOMETabM/wNkNUaGyWMUv2lEU8zOJkvVf4+UAx8RUTfvuIoHhwkKunQkS8zOJk9yhnEZ75iRiQnc/67ujfnZzu0+ff1PD/AAA/r51C6zKhLxMFJ4mANurjtuwsTmZdXxlI0/OZUDhAxs7DBIsWoW/Ix8aeiIfJ82nTVfrJfWK6c8ciiC4QgX6mkbQZihtl3jBRAgJAeZQFQDpnqndLFoIA6YsJjcNkcQEAH3m1OA6Ou+BuAMD7v5/VERIRGjsx89oBAAlTaMweJido9p1nin+AqmodEnouxk/3WNYn43yyXufJXAD4fGTzKRwyn2OPZR1JJsz76Q2Q54uIRQEgRx6IZNYcqLDfXB+YoBjgQulEhsw7suTYEg6wjzTsmU9aYprZ+BQA4KfVU4tlbB3KkReDly3sAMqZcJ0Jx8l0sE3bFvKujpJH2fY545OUWcYSaDChryXPBmpIboQAeb5ZP00p/k4eEDQvalfcfIfsT/KBGuWMNAtd6rFHBitp+Z6UmXGg0bPPKKslfe8lYmgAGO98+ZDx+Hz54ufO3kbfGAghhBBCCCG0MRBCCCGEEEJoYyCEEEIIIYRAL2oMGhsb8bvf/Q4vvvgiduzYgaamJtTU1KC+vh6TJ0/GN7/5TZSXl/dW9wCAdDqNF198EUuWLMGWLVuwb98+lJWVYejQofi7v/s7fPvb38bw4cN7NQYhhBBCCCGOBHplY7B06VLMnj0bTU1NAIARI0bg5JNPxo4dO7Bq1SqsWrUKc+fOxb333ouJEyf2RgjYvHkzZsyYgc2bNwMAampqMH78eDQ3N2P9+vVYt24dHn74YcycORPXXnstHJui5hCUuv0yAS4zHM1YREWMxrQZW6VFh7iH6POOjpoBsDZ3WgR2QyJmWU3AXZtVpB7Ax4QJeJlwG+BfdZURsSmDuRnbygNE5DYgwNwY3TsCR0icbkXGNiqJoNhGOm8KuphAjwmimQtpR12zfyYQtDkfM5E2U4b62T22CC7ZNdmcYUvxWZxRvZa+SmECUgDIsqQBZJxyTabi0vG30TY9QbIY1FWZZUHinMmEywAV9RaY0JiJlAGAOYmG/qpOLNRUd/zQ1m7WYyJjgAul0+Y45ZuIHbEFh1izO2TNst32vMvHzkfWYMdnsZAlcyeTJI7AlnWM4bGKdd3hIwMQKBDHcHJNuTSfI0xozN4LbB2xmXinLIkISqmxJEE4wKcFx+y95BCP5TKLO3Zj2nwWWPIMpvsu/Xzx177Msn3ESTtkue9MAFxJhPT7yKPIjNYB4K0G81msIuLhZiI0judsSS2YINr9h6dK4qxeETAvYGu7mfCgKddC2xzkVBtlzPkYZLmqL4ylbbbAXLOO95/d6TiLVfTc3qDHNwbPPPMM/vmf/xkAUFdXh/vvvx9nnnlm8ffLli3DzJkzsWfPHkybNg3z58/H1772tR6NYfPmzbj88svR3t4On8+HO+64A1dccQV8/5cp491338WMGTPw3nvvYc6cOWhoaMDMmTN7NAYhhBBCCCGOJHpUY/D2229j9uzZAIBAIIAFCxZ02hQAwKRJkzB//nw4joNcLoebbroJH374YY/F0NbWhu985ztob+/4S9SPf/xjXHXVVcVNAQCccMIJ+PWvf42amhoAwMMPP4zFixf3WAxCCCGEEEIcafToxmDOnDnIZDq+W7366qsxatQoWu+MM87A5MmTAQCxWAz33ntvj8Xw0EMP4eOPPwYAjB8/HpdffjmtV1NTgx/+8IfF43vuuQfJpOUrbCGEEEIIIb7g9NjGYPny5Vi7dm3xeMoUbq7Efr9s2TJs2LCh2zE0NTXhV7/6VfH4iiuuOKh24OKLL0Y43GHas2fPHjz99NPdjkEIIYQQQogjkR7TGCxZsqT483HHHYeRI4nj3KeYMGECKioq0NraWjx/zJgx3Yph2bJlnf7q//Wvf/2g9aPRKCZOnIg//vGPAIDFixdj2rRpXeqz1FmQ6Y+YWLU1w/dkYeJInCACJJvT7mCiD2wggkfW5ggikAO4e/GuhBn/wJB5ftYiwmRiWyb0tYmPmXNzjAjPyolYtdSt+gBMvBwkMTHhmc3dk2ExyKSwcWJCXSYorg4Se0sAzWlThFpBxMusH5vjKBMDhiwCXgYTBTNHYzbvw10QXrO/E/iJW2vecj8L5EJ9fvM6fUEukPMQJ24PEakViBYv12i5Tk+TWcTqHT3E7KfaFNIBQKG21ixkbsYWIaDTbMaEpmbjZ2dfg1mvlQiSAWB/q1FUaCHf8qbdzzsnQISlxFXWsQhLqZadDH6WmDmz+w4ABfLMe8h65wuYkyQV5690H1nbskS8HAxyESh7vllZIsMcffnYseeWCZI9pCPmQA4AXrLmtZE2g4dYm3yfijlhSZhQSp68FwAgSgTZ+azZZnvavB8Rct8BoJnM0RriZJ2xfE6oI+3uInM0TMT5tvfX6CpLIoISKvxMUOz+o6jPY1os2wTRjFZiJ13lM9t8N8ddiod7zLWxMm+6wr9XMP9FfpSXfy5ennrOKPsb3+ROx/vpmb1Dj3xjkM1m8ac//al4PH78+EN37PFg3LhxxeOlS5d2O45ly5YVfx42bBhq2cuthE/H+s4772D37t3djkMIIYQQQogjjR7ZGHzwwQdoa/trKj2btqCUE044ofjz9u3b0dzc3K043nnnnW7FAADr1q3rVgxCCCGEEEIcifTIxuC9997rdDx48GBX5w0aNKjT8ZYtWz5zDA0NDWhsbOx2DKXXIoQQQgghRH+gRzYG27Zt63Q8cCAxeyDU1dV1Ov7oo48+cwyl57qNobRed2IQQgghhBDiSKVHxMcHPAMOcCDTz6EorVfaTndiCIWICrcHY/B4PHAcB08Ff3voykys4wMGeWqMYiaOLDBx4qF7LZInhqdMQMTcGG19MeFZVwRAbn2mbdfJumJyNC/pyGaOya7fQyJg+tsuaI/ptXssWjgmdD6USXd5eTkA4J7EX+jvmYDXU6qit/TTFX9wFru1Lpv35HQaUxdco1n87PyC5UpZXV7mPgBal8wna5vUvZcsGsylOEAWBwAFJjRm/VuG3smRCZ3LFufm1bf+d0dZhohdbc6mGdYmc8VlD2gXVkzSvc1p1+0UL5A2rffTpdCX9+P+CXXbpg3mLF6wiF271Sap14Who216mM0w/rp2zsuuLJblXK56jmXa0pjIiylLPrLYXitZ8iiTZaBLnxOYQTXr39am2zvPhqkrc5E88od8J3bqn3TG+q9GjJ6/F2+Y55NRCcF0196Lj2mbRxXMdbgVazode71evrb1Aj2yMYjFOg9gMGgqvBml9bqzMfisMQRKXoyl7dgYNmwYdu3a5S44C3UnmllChOguYzGsr0MQRziu37PWzQovGzu2JCGEu2W6S3Tvo+nha1N8/hiL4X0dguiXDD1kjd27HUSj0cMQSw9tDA6Ymh3A43H351NfyV+lStvpTgxer7sUY35/522y2xg+nZ5VCCGEEEKII50e0RhEIpFOx+m0+RUKI5XqnHO4O7uhnoqhtB0hhBBCCCH6Az2yMSj9QF/6YdtG6Yf37mwMPmsMpfXKyso+cwxCCCGEEEIcqfTIxqCmprOItqWlxdV5pb4FbgzJbJSe+1ljKL0WIYQQQggh+gM9sjE4/vjjOx3v3bvX1Xml9Urb6QojR47spFn4rDG4NUYTQgghhBDii0SPbAxGjx7d6Xjnzp2uztuxY0fx50AggPr6+s8cQyAQwMiRI2nbbmMAtDEQQgghhBD9kx77V6ITTzyxeLx+/XpX561bt67481lnnWVkKeoqZ599dvHnd999FzmWS/sgMVRUVGD8+PHdikGIvuSDDz7A5ZdfjmOPPRbHHnssVq1a1dchCSGEEKIHuPHGG4vv92OPPdb1H+K7Qo+kKwWA888/Hxs3bgQArF27FqlU6qBeAg0NDdi6dWun83sihscffxwAkEgk8M477+CUU0456Dlr1vzVROLrX/+64WsgxJFANpvFI488ggcffNC18F6I3mbbtm146aWX8NZbb2HTpk1obGxEKpVCWVkZBg8ejHHjxmHSpEn46le/6jrNtRBC9EeWL1+O3//+973eT49tDC699FLMmzcPiUQC7e3tePnll/GNb3zDWv+FF15A/v8cLmtqag66Mdi4cSNWrlyJk08+Gaeddpq13qmnnooxY8Zgw4YNADq8Bg62Mdi8eTPee++94vFVV11lrQsAjY2N+N3vfocXX3wRO3bsQFNTE2pqalBfX4/Jkyfjm9/8ZtE5UYjDxaZNm3DLLbcU570QfUkul8OLL76Ixx57DG+//XaxvK6uDqNHj4bP58Pu3buxadMmbNq0Cb/5zW9wzDHH4K677sKXv/zlvgtc9Cv27duHlStX4i9/+Qs2b96M7du3o7W1FYVCAWVlZaivr8e4ceMwefJknH766X0drujnxONx/Ou//uth6csp9KDH8s9+9jPMmzcPADB27Fg8++yz9K9AiUQCkyZNwu7duwEAd955J/7hH/6Btrlq1Spcc801yGazcBwHDzzwAC688EJrDK+//jquvvpqAB0pTJctW4bBgwfTutOnT8eLL74IoOPbhl/84hfWdpcuXYrZs2ejqakJADBixAgMHjwYO3bswMcfd9hcDx48GPfeey8mTpxobUeIniKVSmHu3LmYP38+stksjj76aFxyySV44IEHinUWLlyIM844o++CFP2Ol156Cd///veLx6eccgpuv/12nHTSSZ3qbd68GXfeeWfxW1ufz4f/+I//wOTJkw9rvKJ/8frrr+OBBx7A2rVrceDjTyAQwHHHHYeqqiokEgm8//77aGtrK55zxhln4J577sHw4XJGFn3DnDlziv8R82leeeWVHp+XPfrd7fTp03HyyScD6NAZ3H333UadXC6HW2+9tbgpOOecczB16lRrmwsXLkQ2mwUAFAoFOjCfZuLEibjmmmsAALFYDDNmzEA8HjfqPfXUU8VNwbBhww66E3vmmWfwT//0T2hqakJdXR1+/etfY/ny5Xj66aexYsUKPPTQQygrK8OePXswbdo0LF++/KAxCtET/Nu//Rvmzp2LQqGAf/zHf8Tvf/97/cVV9Dmf/lvTaaedhoULFxqbAqAjacWCBQswYcIEAB3/DnfzzTfjww8/PGyxiv7HqlWr8NZbb6FQKCAQCGDWrFn485//jCVLluDJJ5/EokWL8NZbb+EXv/hFMQ36qlWrcNlllxU/twhxOFm3bh0WLFgAALjgggt6vb8e3RiEQiHMnz8fY8aMAQA8+uijmDp1Kp577jmsWrUKixYtwre//W0sXrwYADBhwgQ8+OCD8Hq9rvtw8wXHbbfdhksuuQRAh4Zg8uTJWLBgAd544w384Q9/wPTp03H77bcDAIYMGYJHHnkEdXV1tK23334bs2fPBtDxV4UFCxbgzDPP7FRn0qRJmD9/PhzHQS6Xw0033aSXm+h1EokEvvSlL+GZZ57BLbfcclBNjxB9wR133HHQeen3+3HnnXfCcRwAHaaXP//5zw9XeKKfc//99+O73/2uYWzq8Xhw/vnnY8GCBUXd4b59+/DjH/+4L8IU/ZhcLofZs2cjl8vhggsuwFe/+tVe77PHNAYHqK2txaJFizB37lwsXLgQq1evxurVqzvVGThwIKZNm4brr7/+kIKzKVOmYOnSpcjlcnAcB9ddd90hY/B4PPjZz36Gv/3bv8WDDz6Ijz76CD/60Y861YlEIrjoooswa9asg+oC5syZg0wmAwC4+uqrrelMzzjjDEyePBnPP/88YrEY7r33Xjz00EOHjFWIz8qVV16J8ePHdzublxC9wYgRIzB27NhD1hs1ahSOO+44bNmyBQDwP//zP8jn8xIji17llFNOwXnnnXfQOqNHj8Z5551X/GPm8uXL0dLSgsrKysMRohB47LHHsGHDBlRUVOCOO+7AK6+80ut99sonikAggBkzZuCGG27AmjVrsH37djQ3N6O6uhpHH300Tj/9dNffEkycOBHPPvssVq5ciVNOOeWg4uNSLr74Ylx88cV45513sGXLFuzfvx9lZWUYOnQoJkyYgGg0etDzly9fjrVr1xaPp0yZctD6U6ZMwfPPPw8AWLZsGTZs2FD89kSInubUU0/t6xCEMKivr8e1116LY4891vU5xxxzTHFj0N7ejsbGRsPNXoieIBKJYMCAATj33HNd1T/ppJOKG4NsNovt27dj3LhxvRmiEAA6PMH+8z//EwAwc+ZM63+29DS9+qdGv9+PiRMndluMO2bMmG59wB4/fvxn8idYsmRJ8efjjjuuk4EaY8KECaioqEBra2vxfG0MhBD9idGjRxf/VdMtpf9upJS7orf4wQ9+gB/84Aeu65emMD/wb29C9Da33347EokETjvtNFx55ZWHrV99V2shm83iT3/6U/HYzcbC4/F0+kvC0qVLeyU2IYT4ItHY2Fj8ORKJYODAgX0YjRB/ZceOHcWfA4EAjjnmmD6MRvQXFi9ejFdffRV+vx9z5sw5rBtSbQwsfPDBB53Sldm0BaWccMIJxZ8P/AuVEEIITqFQKJpjAh2Z6vx+fx9GJEQH6XQaf/jDH4rHF110ESKRSB9GJPoDLS0tmDNnDgDgu9/9ruvPnz2FNgYWPm18BsDqhVDKoEGDOh0f+L9ZIYQQJm+++Wanbwy+853v9GE0QnSQyWRw2223Fb8xOP7444sZCoXoTf793/8dn3zyCerr63HDDTcc9v61MbCwbdu2Tsduv9ouFYd89NFHPRWSEEJ84fi0N83FF19c9MIR4nCSz+fR1taGTZs24Ve/+hUuvPBCPPPMM3AcB5dccgl+85vfoKKioq/DFF9wVq9ejUWLFgEAfvKTn/RJGnLlObTQ3t7e6TgcDrs6r7ReaTtCCCE6WLNmTdFocsiQIbjjjjv6OCLRH/mv//ovw5C1srIS3/ve93DZZZcdMvGIED1BKpXCbbfdhkKhgG9961vdTtzzWdHGwEIsFut07HbXVlpPGwMhhDBpa2vDzJkzAXSYY86bNw9VVVV9G5Tolxx11FH4yle+gmw2i6amJmzduhUtLS149NFHsWHDBkydOhXf+MY3+jpM8QVn3rx5+OCDDzBgwADceuutfRaHNgYWDpiaHcCt2U6p2VRpO0II0d/JZrO48cYbsXPnTni9Xtx///2fKaW0ED3Beeed18nsLJFI4Pnnn8d9992HFStWYMWKFUXD1IMZogrxWdmyZQt++ctfAgD+5V/+BdXV1X0WizQGFkozD6TTaVfnlebfPpSJmhBC9Cfy+TxuueUWvPbaa/B6vbjvvvswadKkvg5LiCLhcBiXXXYZFi9ejKFDhwIAXn31VUybNk1/7BM9TqFQwG233YZ0Oo0zzzwTf//3f9+n8WhjYKH0A71bw53SDYQ2BkII0UE+n8esWbPw3HPPwefz4b777sNFF13U12EJQRk0aBDuuuuu4vHatWvx2GOP9WFE4ovI008/jb/85S8IBoP4yU9+0tfh6F+JbNTU1HQ6bmlpcXVeqW9BbW1tT4UkhBBHLNlsFjfffDOWLFmCQCCABx54QP+3LT73fOUrX0F9fX0xU+GCBQvwve99r4+jEl8kHnnkEQAdf0j+0Y9+dNC6e/fu7XQ8c+ZMQ9t63333deuzpzYGFo4//vhOx6U3w0ZpvdJ2hBCiv5FOp3HTTTdh2bJlCAaDmDdvHs4555y+DksIV5x66qnFjcGePXuwbds21NfX93FU4otCNpsF0OEA/9prr3Xp3DVr1hhlyWSyW/FoY2Bh9OjRnY537tzp6rxS+3QtHkKI/kwqlcL06dOxfPlyRCIR/PKXv8SZZ57Z12EJ4ZpSH6O9e/fq3S56jFdffdV13UWLFuGWW24pHr/yyisYPnx4j8YjjYGFmpoanHjiicXj9evXuzpv3bp1xZ/POussI0uREEL0FxKJBK6//nosX74c5eXleOKJJw66KZg1axZGjRqF3/72t4cxStFfaGhowJIlS/D666936bxcLtfp2Ov19mRYQnyu0MbgIJx//vnFn9euXXtIAXJDQwO2bt1KzxdCiP5Ee3s7pk2bhjfeeANVVVV48skncdpppx30nFwuh1wuh3w+f5iiFP2J999/Hz/84Q87CYrdsGvXrk7HgwYN6smwhPhcoY3BQbj00kuLTsbt7e14+eWXD1r/hRdeKL7QampqtDEQQvRLWltbcc011+DPf/4zampq8NRTT2HcuHF9HZYQAICtW7e6Nh9NJBJYuXJl8fioo47q8X/dEOLzhP7P5SAMHDgQ06ZNw7x58wB0uNKde+651OwskUgUleUAcOONNypVqRCi39HY2Ihrr70WGzZsANDxLcD3v/991+cK0dtkMhk8/vjjuPHGGw9Z9+GHH+6UbfDKK6/sxciE6Hu0MTgE06dPxxtvvIG3334b69evx913321YVedyOdx6663YvXs3AOCcc87B1KlT+yJc0c+4+eab0dDQUDwuTat7zz33oLKysnh8wgknYNasWYctPtH/WLhwYXFTAHSkcC5N4yxEX/Pzn/8cdXV1mDJlirXOE088gblz5xaPx48fj2nTph2O8IQA0JHKdMWKFcXjQ6Urvf7663H22Wd3q09tDA5BKBTC/Pnzcd1112HDhg149NFHsX79elx++eUYPHgwdu7ciSeffLIoTp4wYQIefPBBiZPEYWHNmjXG/79+mnfeeafTsVsHbyE+K9IHiM8r0WgUgUAA6XQauVwOs2fPxlNPPYULLrgAo0ePRnl5OeLxON59910sWbIEGzduLJ571llnYe7cuQgEAn14BaK/sXnz5oOmMC1NV3rhhRd2u0+nUCgUut1KPyCdTmPu3LlYuHAhmpqajN8f+Lej66+/nv6rkRBCCCH6lsbGRjz33HN46aWXsHbtWmQyGWtdx3Hw5S9/GVdddVWPfOAS4khAG4MukslksGbNGmzfvh3Nzc2orq7G0UcfjdNPP13fEgghhBBHCLFYDFu2bMGHH36IpqYmxONxBAIBlJeXo76+HieeeCKqqqr6OkwhDivaGAghhBBCCCGUrlQIIYQQQgihjYEQQgghhBAC2hgIIYQQQgghoI2BEEIIIYQQAtoYCCGEEEIIIaCNgRBCCCGEEALaGAghhBBCCCGgjYEQQgghhBAC2hgIIYQQQgghoI2BEEIIIYQQAtoYCCGEEEIIIaCNgRBCCCGEEALaGAghhBBCCCGgjYEQQgghhBAC2hgIIYQQQgghoI2BEEIIIYQQAtoYCCGEEEIIIaCNgRBCCCGEEALA/wekjKEk0YiM/wAAAABJRU5ErkJggg==\n"
          },
          "metadata": {
            "image/png": {
              "width": 387,
              "height": 374
            }
          }
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "If you want angles and frequencies, you do:"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:12:05.396365Z",
          "end_time": "2023-08-03T19:12:11.064575Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "Js, ths, freqs = af(w[good_mask], angles=True)",
      "execution_count": 34,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2023-08-03T19:14:18.091754Z",
          "end_time": "2023-08-03T19:14:18.521592Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt.hist(\n    2*np.pi / freqs[:, 2],\n    bins=np.linspace(0, 1000, 128),\n);",
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 432x432 with 1 Axes>",
            "image/png": 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          },
          "metadata": {
            "image/png": {
              "width": 394,
              "height": 367
            }
          }
        }
      ]
    },
    {
      "metadata": {
        "trusted": false
      },
      "id": "120d7e3b",
      "cell_type": "code",
      "source": "",
      "execution_count": null,
      "outputs": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "name": "apw-py310",
      "display_name": "apw-py310",
      "language": "python"
    },
    "language_info": {
      "name": "python",
      "version": "3.10.8",
      "mimetype": "text/x-python",
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "pygments_lexer": "ipython3",
      "nbconvert_exporter": "python",
      "file_extension": ".py"
    },
    "toc": {
      "nav_menu": {},
      "number_sections": true,
      "sideBar": true,
      "skip_h1_title": false,
      "base_numbering": 1,
      "title_cell": "Table of Contents",
      "title_sidebar": "Contents",
      "toc_cell": false,
      "toc_position": {},
      "toc_section_display": true,
      "toc_window_display": false
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