{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Phase Diagram\n",
"In this example, we will generate a 1D and 2D phase diagram for a CO/Pt(111) system.\n",
"\n",
"## Topics Covered\n",
"- Create ``StatMech`` objects \n",
"- Initialize ``Reaction`` objects to describe the formation reaction of CO/Pt(111) species\n",
"- Generate a 1D phase diagram by varying T\n",
"- Generate a 2D phase diagram by varying T and P\n",
"- Save the ``PhaseDiagram`` object as a ``JSON`` file"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create Species for Phase Diagram\n",
"We will be considering six CO/Pt(111) configurations. The configurations have CO adsorbed in different sites and different coverages.\n",
"\n",
"\n",
"\n",
"First, we initialize the species as a dictionary to enable easy `Reaction` initialization."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"from ase.build import molecule\n",
"\n",
"from pmutt.statmech import StatMech, presets\n",
"\n",
"species = {\n",
" 'CO': StatMech(name='CO', atoms=molecule('CO'),\n",
" potentialenergy=-14.8021,\n",
" vib_wavenumbers=[2121.2], symmetrynumber=1, \n",
" **presets['idealgas']),\n",
" 'Pt': StatMech(name='Pt', potentialenergy=-383.161235,\n",
" **presets['electronic']),\n",
" 'CO(S) 1/16ML fcc': StatMech(\n",
" name='CO(S) 1/16ML fcc', potentialenergy=-399.48282843,\n",
" vib_wavenumbers=[1731.942697, 349.970617, 322.15111,\n",
" 319.114152, 161.45669],\n",
" **presets['harmonic']),\n",
" 'CO(S) 1/16ML br': StatMech(\n",
" name='CO(S) 1/16ML br', potentialenergy=-399.464095,\n",
" vib_wavenumbers=[1831.626557, 394.436054, 388.098645,\n",
" 373.063005, 203.887416, 52.987012],\n",
" **presets['harmonic']),\n",
" 'CO(S) 1/16ML top': StatMech(\n",
" name='CO(S) 1/16ML top', potentialenergy=-399.39545350,\n",
" vib_wavenumbers=[2045.797559, 489.514815, 396.498284,\n",
" 393.395406, 56.058884, 52.157548],\n",
" **presets['harmonic']),\n",
" 'CO(S) 1/8ML': StatMech(\n",
" name='CO(S) 1/8ML', potentialenergy=-415.67626828,\n",
" vib_wavenumbers=[2047.452988, 1730.209946, 482.24755,\n",
" 394.675312, 392.79586, 354.078848,\n",
" 323.143303, 320.375056, 162.356233,\n",
" 158.239412, 60.269377, 51.362263],\n",
" **presets['harmonic']),\n",
" 'CO(S) 3/16ML': StatMech(\n",
" name='CO(S) 3/16ML', potentialenergy=-431.867618,\n",
" vib_wavenumbers=[2049.767728, 1746.427506, 1733.474666,\n",
" 478.755939, 391.899407, 389.661616,\n",
" 354.568306, 352.532192, 325.154407,\n",
" 322.578758, 319.593333, 315.883097,\n",
" 163.2316, 162.672434, 158.815096,\n",
" 157.87804, 59.576319, 50.284495],\n",
" **presets['harmonic']),\n",
" 'CO(S) 1/2ML': StatMech(\n",
" name='CO(S) 1/2ML', potentialenergy=-512.817507,\n",
" vib_wavenumbers=[2072.099888, 2053.332551, 2052.632444,\n",
" 2052.501762, 1835.620624, 1824.088854,\n",
" 1823.712945, 1823.531493, 481.148383,\n",
" 480.426246, 480.187182, 479.70589, \n",
" 414.42128, 411.357815, 411.091615,\n",
" 406.851876, 404.128284, 403.391877, \n",
" 402.879585, 401.452804, 401.134231,\n",
" 397.539281, 394.569066, 394.101234,\n",
" 393.933956, 390.740547, 390.173637,\n",
" 389.805187, 388.420025, 387.427067,\n",
" 383.620218, 383.348263, 201.654999,\n",
" 200.123762, 196.698042, 195.736534, \n",
" 75.269065, 72.94012, 70.402739,\n",
" 68.651958, 65.289743, 64.556735,\n",
" 63.904694, 60.051442, 58.698334,\n",
" 55.589005, 52.608038, 43.883525],\n",
" **presets['harmonic']),\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create Reactions for Phase Diagram\n",
"The reactions will be initialized and put in a list. Notice that the stoichiometric coefficient of CO changes for higher coverages. If you are unfamiliar with initializing reactions, see the Reactions example."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from pmutt.reaction import Reaction\n",
"\n",
"reactions=[\n",
" Reaction.from_string('Pt = Pt', species), # Clean surface\n",
" Reaction.from_string('Pt + CO = CO(S) 1/16ML fcc', species),\n",
" Reaction.from_string('Pt + CO = CO(S) 1/16ML br', species),\n",
" Reaction.from_string('Pt + CO = CO(S) 1/16ML top', species),\n",
" Reaction.from_string('Pt + 2CO = CO(S) 1/8ML', species),\n",
" Reaction.from_string('Pt + 3CO = CO(S) 3/16ML', species),\n",
" Reaction.from_string('Pt + 8CO = CO(S) 1/2ML', species)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create PhaseDiagram Object\n",
"Now we have everything we need to create the ``PhaseDiagram`` object."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from pmutt.reaction.phasediagram import PhaseDiagram\n",
"\n",
"phase_diagram = PhaseDiagram(reactions=reactions)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Creating a 1D Phase Diagram"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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Ipv372fz3f8/BF1+MG5+2ZAmrNm6k7KKLUlNYw/GYZgJb4fDOgTUTmLckuiyteqmzTG0EhMPQcBbqG87R3rqHUGcdHruOrLQ6pmTVUZq/H487BDjf7Hu63kgi0JnB3mPzqTtSSe2RKuqOVFJ3tJK9x+ZjBrK4cQVcdd2IfEojRmFHREREREZVOBjktUcf5eVvfINQINA9npaVxbUPPMClX/wiLrd7dIqxbTixP3J455aBNxPIzILKK6KzNgsug8yhz0DZNjQ1w6kzcLoRTjU4j/pGi47AMTLddeR76yjLr6WipI7K8joWFZ6CvMG/Vv3ZYuqOVnaHma7nw6dnYlluCvOhtBDKiqB6AVyz1Hm7Zu6QP72UUdgRERERkVFz7I032LR6NfU7dsSNz7vpJm566inyKipGtoBwGA7tiJ+5OXsq+XW5RfH7bS64KGkzAduGljYntJxudIJM99sN8W+fa+lgVuk+KiucIFNVUctVs+tYsGIP2d72IXyaLj48OScmyFTS2FZJe3ABXm8hZUWRAHMhfOxjztulhVAyBcbjsUV9UdgRERERkRHX0drKf331q7z5xBNxS8KySkv55I9+RPWf/dnItJMOdsK+7dGZm9pt0N6c/LrSWfH7bWYsgEh9ph9OnUwILn0EmUBH/G0LcpqoLK+jsqKOqytru8PNBVMP4HZbg/70Wv05HD1TSX1zJc2BSgLhSvBU4suaQ3FhBosvh+tvAm/moG89ISjsiIiIiMiI2vOb3/DsLbfQcuxY3PjFa9Zw3cMP4y0oGL4X87dB3evRJWl7XofOQNLLrPJqzDkrqC9bzoG85RzqLOd0A5zaDqeeiw8wrUkmWgzDoqLkCFctjszSzKztDjilBQNoSd2LtsB02oNVhI1K0jIXkJVbhTerihz3VKovMKge0l2TC1hwJgz1oRDZbosF42zaR2FnFBmGkQncA/w1UAE0Ac8B99u2fay/a0VERETGm9YTJ/jdrbdS+6tfxY0XVVay8plnmLl8+fm/SEsj7IqcbbNrC+x/B6xwv5eEcXMo82LeMZazJbCc55qWsf9gEWwZ3EtnpAWYX763O8hUVTihZkH5HnyZ/kF/KjYecM/DSKsCtzNDg6cKPAvIduWQPeg7xrNsaAzbnAp3ctIyqQ/7abJNztkmrZj4MenAT9hlgmHicplkuP143SYZ3k462i/je+k3nWcVo0thZ5REgs6LwJXASeA/gVnA3wErDcO4wrbtD1NXoYiIiMjwsC2L7Rs28OLdd9PR0tI97k5PZ9m997Ls7rvxZGQM7d5njtG+fSvBd7eQvncrWWd2Jb3Gb2XyRsdlbA0sZ0tgBa91XEG7PfDoMCW30QkyMftpKivqmF12EJcrSZe23hi5kRBTFQk0Tqgx3LPBGPihom2WxfFQgBOWyRnLpNHycw6TNtvExKTD8BM2TGyXidtlkuZygovH0zMMpkce/ek0zMF9nmOAws7ouRcn6LwG3GDbdhuAYRi3A48CPwWuSl15IiIiIuevftcuNq9Zw9FXX40br1i+nJUbNlBcVdXrde1mz037p87YWMf3UXpyCxc0b2VR51YqXAeTznA0W7lsCyxlS2AFWwPL2d6xhE76D1cuV5iKkiMsqazlo/PrqJlVx9zptZQX1ZGd2TCYL0HMTctjZmdiZmpcpd37f7oE7BAnw35OhJuot0wabZNztp9W28Q0TDoxCRkmtsuPy2WS7vKT6fZjpPcetnyRx3ByuxR2pBeGYaQBt0Z+eUtX0AGwbfsxwzA+B6wwDOOjtm2/nZIiRURERM5DKBBgywMPsO0738EKRg/cTM/NY/6Xv0vais/z650uTr8cDTVdG/tPN0KbCS7CLE7/gOWZW1meuZXPZGylzHM6+iKu3l/7dLikO9hsCaxgR+ciLKKtq72ZMDvSfayizM+iC/ayoLyWWaV1lOXXUeCrxevZi8tIvrenp3TwzOsOMrZnAUH3XM4YMziOi3rLpMFygktb2KQ9/DYdmJEZFye4pLlM0t2dMYfi9HiFpLMuQxEMZxK2vGD7cFte0vHhxUc2PvLxMcXlpdjlo8zlI9/lw5fpHYEqRpbCzuhYBuQDH9q2/W4v7/93YDGwClDYERERkTGr60DL2MByfNtLBP6/tbgb9sZ97M6cv+C5kh/Q9oup8Iue90qngyUZ2/nzzC0sL93K0sxt5Llaen5gggPB2WzrXM77aSs4kLuczuJ5lBUblBXB5wuhrMimvOQM0wvrKM6tJcNVhxGug1AthA8Dg196FjLyaHVfQJOrgtOu6ZxwT+Woq5jTrhw6XB3YLhOXy0+66wBu194+7+MChjsyWLaLzrDXCS6WD7ftc4KL7SXb8JFn+Jhi+Ch2eSlz+Sh1+fAZXtxuN4zScUaporAzOi6MPL/Tx/vfSfi4ccW2bZqbO5J/oIiIiIxJtg3nWuF0o8GZJoPTjVDfZHC60aC+yeBME5xuMqhvNGg4B5blLMHyhpu4/vSdXNz807jvmZs95fy27Cn25qyMe51so5UrMl9jeYYzc3NZxht4XclnU+pzqmmYtgzzgmUYNVdScMF0bsqBVUYYl30Yl/1r3FYdLnsvbnsPLmsPLpqciwc5WdNkFFLvKabeU0hDWj6NnkLOeAppd2UlLD3rBI7jZniXiwUtD51hHyHLix324bK8pNleMi0vPttLLl7ybR+FZFJCJmWGl2wyMRh42+4w0EoQCCb70B7y8jJGpkX4CFHYGR1dp2P11XHtWMLH9ckwjL524c0ZbFHDpbm5g4KC76Tq5UVERKQvRhp4sns+3NngyYofMwbxI37bZmHLv/GJ018mOxxtpWzh4o0pt/HH4m/R6cqm0NXAssxXWJ7+R1ZkbuEjmTvwGP13SgtZBm+3TGNrUwVbmmay7WwFAY+H+XMaqZr3ayqP/JjKuQ3UVDYwZ2Yjmen93683QdzdIeaMpyjyKKTBXUjQNXwLxgLhDPzBTPyBTPztafhb3fib3fibDMwzNv7TFv4TIfzHgpiHOvAfDBBqDALtkcfYc/bsXeTnj59DexR2RkfXPrq+dnW1J3yciIiISO8MN7izBhZghvEb9y75nYe46dQ65rU/Fzd+yjOP1/P/lqr8Jn7o/TTLc3dTk30y6f38YQ9vmTN4M1zBh1NKCC7OZHZNG/PKG7mv6F1m5vyekrSzQ6rVNLzUe4po8BRGnp1Qc9adj230sQGozzq9+IOZmIFM/GYa/tY0/M0uzCYDfwP4T1n4T0aCy2EnuFiNAQi3AW1J7y8jQ2FndHTN9fW1QHTAc4G2bdf0egNnxmekzpMSERGREWWA2zewAOMewU3idhhCbTGPdueb9VAbrmAzlwV+zTWhX5NOZ/clluGisLSE/zH/NBdkfzXpS7RnZnJk7jTOVeVhVXvwXhBgJmdZEnoTnz34BgEWcM6d3z070z1T4y7EdGf1/HjbIBD2YoZ8+DsyMP3p3cHF32TgbwTzlB0JLiH8hwP4jwSwG/wQaAGS7ymSsUNhZ3S0Rp57/olzdC31HJexPy8vg7Nn70p1GSIiImOKbcPZlph9ME1Q32hwusn5dX1j/D4Y2x6ZfRCGYVNcACWFNqVTbIqnQMkUm9JCO/IMxZFf5+eAYWRgk06QHPyGH7/L5OR723n3tm/Q+t6euHvPKYKbFloU+E71+fr+/AxaK3MIzXeRMTdIXlkzVa4D0Q8Y4LaRIB4aEpaenXYXc5QZtFj5BMI+LMsLQR+eDi/plhev7SPbziTP9lGIl2IyKTEyKXZBvgvcBpAZeRQP+ks7KeXlDe18pFRR2BkdRyLPM/p4/4yEjxtXDMMYV2s3RUREhsq2nRbJp84knAfT0POMmNMNEAyNXC0FuU4r5bJi57m0MPLrmEdpIRQWQNjTQTtm/P9skybbpMn2c8g2acekA5OgYWK5/HhCAaa9dxjXN7Zy6tmj2DHrU3zp8PEqWDStx3ExdJZ4YJ5B+rwgzANvSQdeY+CNjFqNbI67pnHMmMEJYxanmEuDMR+/MZtsI4d8w0eh7aM05OUKMvgTt0FxOviMnrWIKOyMjvcjzxf38f6u8Q9GoRYRERFJEOhwwkmPQy17GTP9I1dHti8SWop7hpayIigtsigoDpA1xSSU7gQUP37aaafV9nPWNmm2TT7A5A1MgoYfyzBxFnslMIhbSJ9udlBRe4xZu44wa+cROrYe47n3LZoTPt+LpsP1VU7gAWA6MB+Y5zzSC5InPAuDJmbQ6JpPu6uKkKsGt2chvrRKpqQXMccNlQouMgwUdkbHNqAZmGMYxkd6OWvnzyLPm0e3LBERkYkrFIIzZ6OzMP0FmebW5PcbqvS0mNASG2CKwxSV+ckv8ZNd2I43z08408SPSXsktDTjp9Vu5zR+jhgmluEHo48twAnhJRlfczuzdh1l1s4jzNp1hKkHTuGybNo64Pe7YWdCb4EpPlh5Icz+KN3Bhrn0217JwovtWYDLU4Xhqew+eNPlmUeRkUnRwMsVGRKFnVFg23anYRhPAF8FnjAM4wbbttsBDMO4HedA0Vds234rlXWKiIiMdZYFTc3xszB9hZiGs8QtvRpOLheUTIkJLqUhymb4KZpqkl9iklNokplvkp5jYmWYtOOn2W6nFT8mJp2GyQkjwIm+XmCQwWUgck+3MH3HCSp2HmP+7g8pO14f937bhneOwQu1EIiZnHG54MobYMVtkFYF9LZlw1XSHWTwVII7Emrc5TDIrmciw0lhZ/R8G7gOuBLYZxjGVmAmcBnQCPxdCmsTERFJGduG1vaY0NJPkDnd6MzYjJQpeTBtWpAZs0zKZpgUTTXJKzHJKfTjLWgnPcePy2fSmWbSGtn70mH4CUf2pJyNPHo1jOHFsl1OK+SwD3/YixnK6v51KOzDY3uZf/w4V+97iYv2vUHF3l34mpr7vF9DG2zeCYeb4sdnXAwrvwulVQAucF8QH2q6Hq4pw/fJiQwjhZ1RYtt2wDCMa4B7gL8BPo3z9+H/Bu6zbftoKusTEREZbv5AzGzLmf73wfgH33F4AGzSfJ0UTzOZPtNP2Yx2iqb6KSg1yS408RWYpOWYuHwmwQyTTrefgGFiGfHtwfyRx0gJ226nDXJ3eHEeXWMuO4sM24sPH9mGjwJ8FLkzmOl2UeyGUnc7061dTD3yPLm1L+Ou3Q17TkNr8sM2w9nwSj1sfRXCMSEyPdvFx+6/mCWrV+HKqI6EmnlgjK9OXCIKO6PItm0/cH/kISIiMu4Eg5F9MA3JO5IN7z4YmzRvEG+BiS/fJLfYZGq5SdE0k4KSdnKKTHwFftJz2zF8JuEMk1CaiW30/g1/iJE5LSVoeRLCii86+xLOIhj2km778OEjy/CRj48idzrFboNiNxR5oNgNxRlQ5IYpbvB0zQhZDRDaDaFaMHfA3jdh9x7Y0wz7gYE0PCumu5nAETOPzQ8FObMn/szzyk//CZ/80RPkzuiriazI+KGwIyIiMslZFjSei4SWJJv5G4Z2kH0PnsxOfAUm3nzn4SswySp0lo1NKTXJLXLG0nNNXNkmdoYJ7v7Xr9kM7Pv9geoIp/cIK/5Q/OyLYfnw4iMLH3mGlyJ3OkVumBkbXNKd4FLshmxXkvbItgXho06gCdQ6z6FaaN0F+8/CXmAfcBAnsfXHINIpLQ+q5kD1ZVByKYG26fzh/n/l7Q0/i/vwnGnT+OQTT1D1p396Pl82kTFFYUdERGQCsm1oaet7H0xsiDndCOHkK5765MlwZly6Qosv34z7dX6JSW5xO1kFJhm5ftzZJkbaAE+SxAkx5ysQzsSMhBZ/zIyL2RVcQj46w14yyMKHlzx8FHo8FLuhIja4ZEaDS6EH0oe6D8fuhND+aJjpeoT3gG06x4zvwwk3e3FO4kv2hXADswuhqhJqlsHCVZD/UTCcs/Bs26b2V7/id7d+jraTMa3WDIMl69bxsQcfJDMvb4ifkMjYpLAjIiIyjpj+hKDSz2b+wBCmOdzpQbz5fie0FLRHZl78ztsxQSZ7ijMTk5ln4s4YeHAZDonBxQxnJWzUd0KMYTnLxXLxUuhxO2GljxmXIg/kJ5t1GQqrFUJ1vYSaD4GYhHmO6KzNXuD4AO6dngYLqmHh1bDwJqi8EjKzev3QlmPHePaWW9jzm/zQ0QAAACAASURBVN/EjRfX1LBq40bKr7hiSJ+eyFinsCMiIpJiwSDUNyUElj5CTEvbwO/rTgs5YaXA7F4y5ov9dYGJNy/6tq/AJN3XOXKfaC8C4Yxe97iYkdkWM2bJWKbtIwdv94xLsQdmRMJKsQeKMqLBpcgN3tHqeGzbYJ3uPdRYvaQWG2ggPtzU9/ywHrLyoHo5LFoBNStg7sXgSev3EiscZvvTT/PiPffQ2Rb9zePOyGDFffex9M47caen93MHkfFNYUdERGQEWJazvyVuz0sfG/obzyW/nysthDfPT/HUrhkXf2SmpT2yZMzfPRPTFV4yskY3uHTtcYldGmZ2h5esyPIxZ+9LZ9hHNl4K3R6KIzMtpV0zLpHlYl0hptgNBW5wD/esy2DZYQgf6j3U2P38R7SBk8QvSxvI3qf8Uli4IvqYudA59GaA6nfuZNPq1Rx7/fW48VnXXMPK9espnD9/wPcSGa8UdkRERAbItqHNjIaWk2d6zr50Peqb+t4H4/KEu2dZsuaaFPU10xKz9yUzZzi33ifXaaV3z7T0Fl66ZmK6fm1bPqa4osGl2APTusJKGhR7Y4KMB/JGYsnYcLEDENrbS6jZCwygR7YFHCMabPbi7MFJpmRmfLiZNm9IX6RQIMCWBx5g23e+gxWMLjHMLCjghkcf5aK//VuMMfvFFxleCjsiIjLpdXb23j65t4eZcOCK4Q7jy/dHu4pNNyldaDIrP2bpWEHM7Eu+SWbuiBwq0/fnZ6V1b8o3+1oyFvZhhrK698J4jbS4cBL3nN5zPMsYw+GlL9a5SIhJCDXhgziJZYBCwGFgXxbsS4e9beAfwD6mGQuc5WgLV8DC5U7YOU+Ht2xh05o1NO7ZEze+8K/+io//4Adkl5ae92uIjCcKOyIiMiFZFjQ1J8zA9DET03WwvOEO480NRPavxGzOn9nOrAKT6oQuY958E2/e6AaXoOWJa4Hc1+b8aJjxErLTKXDFh5NZXWElPTpeFBNgMkdrv8tIs22wTvQeaqxTQ7tnqBwOl8FeN+w5B3sPQmcH0B559MIwYNbi6KxNzXIoGL7gETh3jhf+8R95Z+PGuPHc8nJuevpp5t9007C9lsh4orAjIiLjSlv7wGZg6s9aeHz+uM333rzI21XOc3WeyZK49/uTFzCMQpan75mWyBKxxCVkITsdF1AYO7Pihjkxh1EmzroUuiFtvM26DJYdgvCBXkJNHdhDOT40DTzzwFMFnbNhvwF7GmB3Lex7G0JH+7/c5YZ5S6Lhpmop5BQM6VPrj23b1P7yl/zu1ltpOxUT3gyDS2+9lWu//W0ycnKG/XVFxguFHRERSbmubmR97oFptGjyB2ixTMiM3dMSWR42w49vkcmU/HZmdO19yQ1guIbjhJaBCVnufjfnm5HN+f5wVneYCdppgIGH+HAyvSus9BJcxsxm/VSxTQjt6SXU7AOG0JDByAFPpRNquh5mKdQeg13bYOcWOPgfzlRhf9IyoPLy6LK0ysvBmz2kT3GgWo4fd9pJ/+d/xo2XLFrEqo0bmXHZZSP6+iLjgcKOiIiMCNuOLCPrEWBsTrcFaOo0aQmZtGMSTDN7dBLzzXbeLs83mZfnx+UeveAStt1xy8C6OomZvcy8dM3GdFrpOEfWQ6YRH04qPJG3EzqMjYvN+qliNcbPznTvpznMkI4ZdZX1DDWeKnBNg8YT8N4W2LUFdv4cjuxOfr/MLKheCguvcsLN/EucwDMKbMti+/r1/OHuu+lsbe0ed2dkcNX993PlnXfiTuu/JbXIZKGwIyIig9JuRjfznzwDJ88GOdVu0tjRzrmQSZtlEnCZhNLaycyPmYFZYOK73NnnUp5mUT5K9YZtV5+b8+PDS3RzfqeVQVdwAch2RcNJSVdQSQwu432zfirYNlhHew811pkh3NAA9wW9hJpKcBVEX/PUAWfGZuc/O8+nDiS/dXaBs8+ma1nanI+Ae/S/jTqzezebVq/m6Kuvxo3PuvpqVm7YoHbSIgkUdkREhFDIWUZ2oiHMsXN+TrWZnAm0czZo0mqZmEY7nR4TK8MkPcdZOuYrNfEuMEn3OV2npkQeI8myXZGN+L64zflm2BuZacnqsf+lIyG4AHGb9ad7nEMoizN6Dy4TarN+qthBCO2PmZ2pi9lP08eG/n5lgGdBL6FmPhiZCa9tw9Fa2PFvTrDZtcWZyUmmoCy+DXRFzaDOuBluoY4Otj74IK889FB8O+n8fK7/3vf4yP/6X2onLdILhR0RkQkqbFvUt3RwpNnkREs79aZJY6dJS7iddkw63CbhdBPDa5KWG+k8Vh3fWcwbeYwE2zYiS8QS2x73vVnfCS7x33D2tlm/+0yXXsLLpNisnypWW8/mAKFaCO/H6c88SEZ+dGYmNtS4Z4Hh7v2acBgOvh+ZudkCu7ZCS0Py1yqdFemS1nXGzdwxMz135JVX2LR6NQ11dXHjNX/xF3zihz8ku6wsRZWJjH0KOyIi40QnnbRjcrbD5HhLO6dMk8aAyblQe8zSMRPba+LOMsnINXHlWZAXfx83kDsC9QXCGQnhJDrLkjjjYoZ9BMJebHr+pDx2s/7MPg6k1Gb9FAufiYSZ3fGhxkrSoawvrum9hxpXafLAEeyEfdujsza7XgF/a//XAMyojG8DXVIxtNpHUKC5mT/cdRdvb9gQN547Y4bTTnrlyhRVJjJ+KOyIiKRAmDBm5H/ttNMaNqk3Ter9ZmTpWDt+w+xeOubymbgzIktXMoDinvfMiDyGQ1dL5B7LxXqEmOgMTNju/Z+U2M36s/s4kFKb9ccg2wbrWEKoqYXgbrAbh3BDN7jn9BJqKsE1iPgdMGHP69GZm7rXoDPJWUeGAbMvjIab6mXDesbNSKj91a949otfpO3kyeigYXDpF7/ItQ88oHbSIgOksCMicp4sLAIEIsElGmDabZOznSZNnSbNoYSlY5kJ35y5gZzII2G4j8U6A6/PNqJLwvoIK4lLyIJ2tLNYogwDSiLBpNIDJTEb9UsSnovdzuZ+hZcxzA7HnE+TEGzstiHc0BsTZmJDzVwwhhDH25th97ZouNn3FoSTLIlze5wzbrqWpFUvhez8IXwuo6/l+HF+98UvUvfrX8eNlyxc6LSTvvzyFFUmMj4p7IiIxLCx6aQzLrh0h5fI261hJ7y02SZ+l0nIY0Jv57kY9Drdcr7f9wfCmQmHTia0RU4INAErk8R9LrHSI+FlqgdK0qHYF991rMQTH2YUXsYpu8M5i6Y7zHQ97wU6Bn8/Y0rPNs6eKnBXgHEeG/mbz8DOrZE20FvgwHvOLFN/0jNhweXRmZvKy53W0OOIbVls37CBF+++m46W6CGo7owMVtx3H0vvvBN3enoKKxQZnxR2RGRCCxHCxB+JK2ZMiIn+f9csTJtl4jdMwq5kPzXm/KdbIoKWp5ew0nOjfuyhlFaSv7rTjejZLiXenjMtiSEmR+FlYolrEhATbMIHgPDg7+eaBp7qmEATedtVPDy/cRqORWdtdm5xOqcl482GqqWwKHLGzbwlo3bGzUg4s3s3m9as4ei2bXHjM6+6ilXPPKN20iLnQWFHRMaNruVi7d1zLb0Hl+7ZGNukwxjgT6wNzjvAWLarx2GTvS8by+reDxOyk/+kNg0nqMxLc852KYnZ41Li6RlichVeJoe4Qzdjlp6FjwzhZga4Z8eHme4mAXnJLx8o24aTH8aHm9MHk1+XMyX+jJsLLkrJGTfDLdTRwSsPP8zWBx7o2U76u9912kmnsN21yEQw/v+mEJFxqWu5WOwel/jn2CVkzrgfP/ZgTk4/z2/4/eFMzFBWj/bHPWZfIjMzgV7aIvfGgxNMZqf3vc8ldvZF4WUSs22wTsaHma63rfoh3NDjnEWTOEvjWQDGCDQZtyw4sjvaKW3nFmg6mfy6KVPj20BXVKf0jJuRcGTbNqeddG38TFb1n/85n3z8cbWTFhkmCjsiMiwSu4u1J8y09BZiQkM5d2OIOq20vve4dC8Ri77PWS42sKme7lbJaT33t/QWYtRtTHqwLQgf6jlLE9oNdkvSy3vqahIQCTNpkWf3HDDShrv6qHDI2WMTe8ZNa1Py60pnxx/gOXXOhP1DEmhu5sV77mH700/HjefOmMGNTz3FglWrUlSZyMSksCMiPfQ369KesHysK9AESNL6dRiFbVe/syy97XMZyHKxLl0zL/3tc4kNMfkKLzJQdieE9vey/KwOhvJnqPvQzYQ9NefbJGCggp1Od7SucLN728DOuCmvij/jprh85GsdA+p+/WueveUWWk+ciA4aBpd84Qt87MEHycgdiROwRCY3hR2RScDCwo8/Jqi0x83AxL/tPI/mrIsZ8kaXikUCSmyQ6Xpf19sdVgaDWaPmBkoTA0s/ISbfBS6FFzkftgmhPdEwE4w8h/fDUP5sucp6WXpWPbBDN4dThx/2vAE7X46ecdPh7/8aw3D22HQtS6tZBvklo1PvGNF64gS/u/VWan/1q7jx4poaVm3cSPkVV6SoMpGJT2FHZBwKEuwRTnoLMl3Lxga91+V8aot0F+ueXYnMukSXjmUl7H/xYg+yM4CL+MMo+5t1KVF4kZFknet96Vn4MAzlz5x7Vi+hpgpcBcNd+cAE2qH2VdgRCTd73oBQZ//XuD0w75LozE3VlePmjJvhZlsWb2/cyB/uuouO5ubucXd6Osu/9jWW3XWX2kmLjDCFHZEUi+0w1jOoxAeZrrEgweQ3Hib+sLe7o1jPzmJZcTMuZigrchjl4LhsKDCgJA3K0pK3Si5wK7zIKLJtpxlAj/Npap3mAYPmBvfc+DCTVg3uBeBK8dkwXQd47njZmb3Z/3byAzzTMpxzbRZe5bSCXnDZuDvjZiQ01NWxac0ajmzdGjdesXw5q555hqLKyhRVJjK5KOyIDLMQoT6WiiUuGWvvnnWxsEaltrDl7p5liQ0w/sSx7lmYwc+6ABg25NpQ5ILSNJiWCaWevkPMFIUXGQtsC8JHe+98Zp8dwg0znS5niUvPPHPBGCM/zW9phF2vOMFmx8tw8D2ng1p/MnxQvTQyc3MVLLh0XJ9xM9zCnZ3d7aTDndFZsIy8PK5/5BEuvvlmtZMWGUUKOyL9sLEJEOjRYSx26VjikrGOoZxEPkSBUEZ0WVjCkrHEvS5m2EfnIPe6xPKFId+GYhdMTYdyH5SlRzfyl3jiw4tb4UXGKjsE4Q97WX5W6+y1GSwjt/elZ+5ZYAzT6bPD5ezpmDNuXoZDO5Jf48uF6mXRAzznfhQ8I9jRbRw7+uqrbFq9mjO7d8eNV/23/8Ynf/QjcqZOTVFlIpOXwo5MKmHC/XYYS9y0b2ISHsqJ40NgWa7ujfmmFb+/JbbbWHsouozMOo8/wmkhyAlDAU5YmZYBFT6Y7nVmYbrCS4kbijyQrvAi440diDQJSOx8theGshTUVdyz65mnClzTxm47vobj0WYCO16GY3XJr+k+wDOyLG32heAeY6FtjOloaeEPXe2k7eherZzp07nxySep/JM/SWF1IpObwo6MW9H2yH3PsiQuJRvN9sidoXTMYCSw2Ikb83suGQtYmZzPKZiuMHg7ITcMUwwnsEzLgJlZMDPbmY2JbaecpVUUMlFYLU7r5sQ9NeGDMJQloq7y+LNpukNN4bCXPuxOH4rut9m5BU5+mPya/BKnS9qiSLipqJlwB3iOpLr//E+nnfTx49FBw2DJunVc99BDaictkmIKOzJmWFhJD6VMPJhytNojW7ZBR6czm9Ie9mHaMR3GYmdbYvbAhOzzXOZhQ7ofsoKQZ0FhJMBM9zoB5oI8KPdGl5DpoEqZ8MJneu98Zh1Pfm0PLueAzR5n1FSCK2fYSx8Rtg0n9kVnbXZugTNHkl9XOD26JG3hVTBjgf7yGILWkyd57rbb2P3v/x43Xlxd7bSTvvLKFFUmIrEUdmTEJB5K2bPDWM9DKUerPXI47MEfzMIM+mgPZ9FuO0vHEpeMdb0dCHuxOf+fdLr8kBlwAky+BYUup/vYDC/Myoa5+XBBjrOpv1D7XmQysm2nw1ncLE3kYTUM4YbpMU0CYoPNPDAyh738EWXbcGR3dL/Nzi3QNIBucKWzokvSFq6AsgsUbs6DbVm885Of8MKdd/ZsJ/3Vr7L0rrvwZKhhg8hYobAj520773CQgz26jo1me+Rg0Esg6MywtId8tNpOgOm578VZMjaU9si96gRPG2R2QE4wsoHf7WzcL/fCrByYlw8LCmBqBmRoZYiIw7bBOho5bDPhYTcnvz6Rke3MyngSlp65Z4MxTv+psyw4+EE02OzcAi0DCHzT5kWCTSTclFSMfK2TRMOePWxes4bDW7bEjVcsW8bKZ56huKoqRZWJSF/G6b8AMpYc5Sjv8f6w3c+23ITCPgLBLNqDPlpDWbSGfbQR7TIWf0jl0Noj9yoMNEOaCd6OyAb+SICZluF0IJudA/MLoKoQSrL0A1KRftlh54DNxEATqgW7bfD3MwoT9tNEgo1rxvj/wxgOwYfvRpek7doK7eeSXzezJrrnZuEKmKKOX8Mt3NnJtkceYcu3v024I9pxMyM3l+seeYSPrl6tdtIiY5TCjpw3H77+P8DKJBTyEQj5aAtm0Rr00RzOosV2lpANZ3vkXrUAzeAxwde1gR9nn8v0DCjPgjm5ToCZPxUKF47/75lERl13O+fdCbM1dTCUxiCuqTEzNF3BpgbcxcNeesoEO2Hf9ugZN7XbwJ8kABqG0x1t0VVOwFm4HPIm0NdkDDr2+utsWr2a+p0748arPvMZp530tGkpqkxEBkJhR87bLw5dwJFMN+esLNqsaHtkZ+bFe17tkXtlAs1AC7jbISsSYLo38GdCRTbMzYV5hTBjNpRMgTQdCyFy/uxOCO3rZaZmL9CZ9PIeXOWRWZrq+GDjKhj20lOuMwB73oh2S6t7DTr8/V/jcsPci6N7bqqWQs4E/NqMQR2trbx477289eST8e2kp01z2kl/+tMprE5EBkphR87blnfnsG/BnKHfoJPu8EIzGK09N/BPz3Q28M/Jg5lFUDYPSgshO2uYPgkRiWf7I2fUxDQKCO6G8D4YytlT7tkJgaY60vlsArflDbRD7avRbml73oBQkkDoSYN5l0T33FRdCb5x0h1uAtmzaRPPfuELtBw7Fje+ZN06PvbQQ2Tm5aWoMhEZLIUdOW9FBuyLHQjjBJdIeOl69nY6AabY5Wzgn+F19r/MLICpRVBWCWVFMCVPRzyIjBqrLeaMmphH+AAMujuiC9xz45sEpFWDewG4JsFPJswW2PWKE2x2bXGWqIWTtMdPz4QFlzt7bRZd5bydmWRpsIyYtlOn+N1tt7H7F7+IGy+qrGTVxo1ULFuWospEZKgUduS8rXJBy8+jG/hn5sK0Iie4lJU7zyVTIH2YGqCJyBBYzT1bOYd2O80DBs0Dnvm9zNSMw3bO56O1CXZujXZLO/Cu00GtPxk+qF4a7ZS24FJIU5viVLNtm3cj7aQD56JNIVxpaSy/916W3XOP2kmLjFMKO3Le7vmU8xCRMcBq7KVJwG6wTgzhZhmRM2oSQ81cMCbhJrhz9TEHeL4Mh3Ykv8aXC9XLosvS5l7sLFWTMaNx7142rVnD4Zdfjhsvv/JKVm3cSHF1dYoqE5HhoLAjIjLe2DZY9b00CdjtjA+W4UvofDYBzqgZDg3Howd47ngZjtUlvyZnCtQsjzYUmH0huIepNb4Mq3AwyKvf/S4vf/Obce2k03NyuO4732HJ2rVqJy0yAUzif8VERMY42wbrePzys64ZG7tp8PczcnqZpakGdwUY+qaO04eiZ9zsfBlOfpj8mvyS6JK0RVdBRY02HY4Dx998k9/cfDP1O+Jn5yo//Wk++cQT5E6fnqLKRGS4KeyIiKSabUH4SO8zNXbr4O9nFESDTGxbZ9d0HSLVxbadMLPjpejStDNHkl9XOD26JG3hCpixQF/TcaSzrY3/uu8+3nz8ceyY/VXZU6dy4xNPUPWZz6SwOhEZCQo7IiKjxQ5D+GAvoaYWbHPw93OV9D5T4yrRN+CJbBuO73VCzY6XnJmbxgHsYyqdFV2StvAqKJutr+04tf/3v2fz2rU0H45vyvHRtWu57uGHyczPT1FlIjKSFHZERIabHYTQ/l5CzR6gI+nlPbimxYeZtK6DN4uGvfQJw7bhaF002Ox4Gc6eSn7d9PnOjE3XzE1JxYiXKiPLbGjg97ffzgc//3nceOH8+az68Y+ZuXx5iioTkdGgsCMiMlR2B4T29hJq9gJJzlfpjbuil5maKnDpJ85JWRYc2e0Emw9ecs65OTeAZg0za6Amst9m4QqYMnXES5XRYds2O//1X3nuS1/CbGjoHnd5PCy96y5WfO1reDInUat0kUlKYUdEJBnbdGZlEls6h/cDSc5V6cEA9wW9hJpKcGWPRPUTk2XB4Z0xy9K2QEtD0suYtQgWXR0NN3nFI12ppEDzkSP8dt069j37bNz4tEsu4VM//jGlixenqDIRGW0KOyIiXWwTQnUQ3BUJNLucR/ggYA/yZm5wz+3ZJMCzAAzvSFQ/sYXDcOiD6Bk3O7c4h3r2xzBg1mJYfLWzLK1mOeRp6d9EZoXDvPXUU7x4zz0E29u7x9N8Pq759re57LbbcKkVuMikorAjIpOP1Q7hxFCze4ihJi1y8GbiOTXzwNCJ60MWDsOB92KWpW2F9nP9X+NyweyLnFmbRVc74SanYDSqlTGgftcuNt18M8defz1ufM4NN3DT+vUUzJ6dospEJJUUdkRk4rLaI2fUJIaaQww+1GRGQk1N/GyN+wIw0kag+EkmHIL970SbCezaCmZL/9e4XDDn4uiytOplkK39TZNNqKODrQ8+yCsPPYQVDHaPe6dM4eM/+AGLP/tZDHXQE5m0FHZEZPyz2mIO3owJNuFDQ7hZZnSWJi0SbDw14J4Nhpa/DJtQEPa/Hd1zs3sb+JOcKeRyw7wl0VbQNcvAlzsq5crYdPTVV/nNzTfTUFsbN77ob/6Gj3//+2SVlKSoMhEZKxR2RGT86A41uxJCzeHk1/YQCTVpNdHZGk8NuGcp1IyEYCfs2x5tBb17GwTa+7/G7YF5l0T33FRdCb6c0ahWxriOlhZevPde3nrqKafNeERueTkr169n3o03prA6ERlLFHZEZOyxWvtYfjaUUOONCTXV0WCjUDOygh2w583osrTabdDh7/8aTxosuCw6c1N1JWRmjU69Mm7s3byZ365bR8uxY9FBw+DSL36Rax94gIwcBWIRiVLYEZHUsVp7Lj0L7YbwkcHfy/DFNAmoSQg1rmEvXRJ0BmDPG87MzY6Xoe41Z6w/nnSovNwJN4uvhgWXQ6ZvNKqVcai9vp7nvvQldv7bv8WNF1dXs+rHP6b8iitSVJmIjGUKOyIy8qyWmAM3I4EmuAuso4O/l+GL6XgWu/xspkLNaOrwO4GmqxV03evObE5/0jKg8orosrQFl0GG2nBL/2zb5v3/8394/vbb8TdF24270tJY8bWvsezuu3Gnp6ewQhEZyxR2RGT4WM0999QEd4F1LPm1iYysyExNTfxsjbtCoSYVAu1Q+1p0z82eNyHU2f81GV6ovDLaCnrBpU7gERmgswcPsnntWg688ELcePmVV7Jq40aKq6tTVJmIjBcKOyIyeFZzz1ma0O7zCDUJszSeaoWaVPO3OU0Euvbc7H3TaQ/dnwwfVC+NtoKedwmk6SfuMnhWKMQbjz/OH++7j6Bpdo+nZ2fzsYcf5pJ16zBc+vtBRJJT2BGRvlnn+gg1xwd/LyO7j+Vn5Qo1Y4HZ4oSbrlbQ+7aDFe7/Gm+2c7ZNV0OBeUucJgMi5+HU+++z6eabObF9e9z4vJtu4qannyavvDxFlYnIeKSwIyKRUJMQaEK7wDox+HsZOT1DTVoNuMpBB/uNHe3NsOuV6LK0/e8MINzkQM3y6LK0uRc77aFFhkHQ72fLt77FtkcewQ5Hfy/6iov55OOPU/OXf6nDQUVk0PSvlMhkYp3tI9ScHPy9ukNNzCxNWrVCzVjVehZ2bXWCzQcvwcH3wLL6vyYrLxJurnYCzgUXKdzIiDj08stsWr2apn374sYv/NznuOHRR/EVFqaoMhEZ7/SvlshEZDX1DDShXWCdGvy9jNyeszSeanDNUKgZy1oanXDT1Qr64Ptxhy/2KrsAFq6ItoKetRjcOotIRk7g3DleuOsu3nnmmbjx/NmzWblhA3Ouvz5FlYnIRKGwIzKeWY29hJrd5xFqEmZpPDXgmq5QMx40n4GdW6J7bg7tSH5NbiHUrIi2gp61CLTpW0ZJ7X/8B8/ecgttJ6Mzy4bLxeVf+QpXf+MbpGfpQFkROX8KOyLjQdfys+CumLbOu8A6Pfh7GXk9Z2k8NeCaplAznjSfiQabHS/B4V3Jr8krjjYTWHQVVNQo3Mioaz15kt998YvU/upXceOlixfzqZ/8hGlLlqSoMhGZiBR2RMYSqyU+zHSFmyE1CugKNTGzNJ5qhZrxqmvm5oM/Djzc5Jc6oaZrWVp5lf7bS8rYts27P/kJz99xBx3Nzd3j7owMrvr617nyjjtwp6mbn4gML4UdkVSw2uL30nQFG+vo4O9l5EcCTcI5Na6p+sZ2POsONy9Fws3O5NdMmRoNNguvghkL9HtAxoTGffvYvGYNh156KW585ooVrNq4kcL581NTmIhMeAo7IiPJNiFUB8Gd8cEmfGjw94qbqamJvu0q0ze0E0FzQ8LMzQDCTeG0SKe0yGPaXP1ekDElHAzy2qOP8tI//RPhjo7u8Yy8PK7/7ne5+POf1+GgIjKiFHZEhoMdgNAeCO2M31cTPgAk6YCVyMiOBpnYYKNGARNLV7jp2nMzkIYCU6bC4msUbmRcOPH222y6+WZOvfde3Hjln/4pNz7xBDnTpqWoMhGZTBR2RAbD7oTQXifUxO6pCe8HkpxZksjwxSw7i3m4K/QN7ETU0hg/czPQcNMVdqwgGAAAIABJREFUbBZfo3Aj40LQNPnj17/O6489hh1zllN2WRk3PvkkVZ/5TAqrE5HJRmFHpDd2EEL7o6Gm+7EPCA3yZpngqYpfeuapAfcsMLR8Y8LqCjddMzcHP0h+TUFZdOZm8dUwbZ7CjYwrB/7wBzavXcvZAwfixi9evZrrH3mEzPz8FFUmIpOVwo5MbnYYwh/23FMT2gMEB3mzdPBU9lx+5r4ADB3MOOG1NsXP3Aw03HQFm8XXKNzIuOVvauL5O+7gvZ/9LG58yty5rHzmGWZfc02KKhORyU5hRyYH24LwwUiQid1XUwd0JL08ngc888GzMD7YuOeCoT9Sk0ZXuNnxktMx7dAHYCfZnxUbbhZdDdPnK9zIuGbbNrt/8Qt+d+uttNfXd48bbjdX3nknV91/P2lebworFJHJTt+ZycRiWxA+Eg013ftqagH/IG/mdgJM2sKEfTXzwEgfieplLGttgp1bYccfBx5u8kujwWbxNQo3MqG0HDvGb7/wBfZu2hQ3PvWjH+VTP/4xZRddlKLKRESihi3sGIZRBnwCWA5cCBQDeUAzcAZ4D9gKPG/b9snhel2ZpGwbrGORIBO7BG032O2DvJkB7jnOTE3cvpoFYGSMSPkyDrSeTdhz8/7gws2iq3XOjUxItmWxff16/nD33XS2tnaPe7xervnWt7j8S1/C5dHPUkVkbDjvv40Mw/g4sA64EXADif+y5wLlwMXA3wFhwzB+Czxt2/bz5/v6MsHZNlgnIzM0iaGmZfD3c8+OBJmFMftqKsHQMotJr/Us7Noas+dmIOGmJL5bmsKNTHBnamvZtHo1R7dtixu/4LrrWLlhAwUXXJCiykREejfksGMYxhLgezgzOQCvAC8BbwJ1QBPQgjO7UwBUAZcC1wCfAj5lGMYW4A7btt8eah0yQdg2WPW9LD/bBfa5wd/PXREfajw1Tkc0V9bw1y7jU1e46Zq5OfDe4MLNoquhvFLhRiaFcGcnr3znO2z99rcJd3Z2j2cWFPDxxx7jws99DkN/FkRkDDqfmZ03gVPAvcA/27Z9rI+Pa4o8PgQ2AxiGUQ58Frgtch+1qppMrIaYBgExwcZuHPy9XNMjMzSxoaYaXDnDX7eMb23n4mduBhJu8opjZm6uhvIqhRuZdI69/jq/uflmzuzaFTde85d/ySd++EOyS0tTVJmISHLnE3ZuB9bbth0Y7IW2bR8FHjIM4/vA2vOoQcYy62zMDE3MEjSrPvm1iVxl0ZmatNhQozMbpA9d4aarW9qBdxVuRAahs62N//ra13jj8cfj/uzkTJ/OTU89xYJPfSqF1YmIDMyQw45t2z843xePBKUfnu99JMWsZmcPTeK+GmsIfShcxb3sqakB15Thr1smlqGEm9yi+FbQFdUKNyLA/ueeY/PatTQfORI3vuQLX+C6hx4iIzc3RZWJiAyO2qXI+Tv7F9A5yF4TxpSYGZqYJWju4pGpUSae9ubIsrSXIsvS3gXL6v8ahRuRfpkNDfz+K1/hg//7f+PGiyorWfXjH1OxdGmKKpP/n717j8+5/B84/rrGbGPOh5nTnHKY5iznnEaEJSJFKKNRSfmGFImk9CtKSNFBaKSwOZ+X85kJOWvkzMyM2en6/XHfu7d7u3e673tus/fz8bgfd67PdX2u933fqft9XychhHUk2RG2c66VdrKjCic7eDNZUuPkIV8yRdZYldwUN99QoII3ODlle6hC5DRaa/4ODGTNsGHcu3HDVO7k7EyL99+n5Zgx5HWRrfiFEDmPLbux/WhDv1prPdCG9uJRkrcWqIKGNTQp19U4lZGkRlgnKgKObkvaLe3MAUluhMgGERcusGroUE6uWGFWXrZxY/zmzKHUk086KDIhhLCdLSM7A2xoqwFJdh4Xbv3A7TVJaoRt7t0xJDeJu6VlNrl5slXS1LQKtSS5ESKTdEIC+2bPZsOoUWaHgzrnz0/bSZN46q23cMojm6UKIXI2W5KdNnaLQuRsytnREYicKDoqKbkJ3Qyn90NCfPptChYz3y1NkhshrHLjxAmCBw0ibOtWs/LK7dsbDgetVMlBkQkhhH3ZshtbiD0DediUUjWA54AOwBOABxAO7ACmaq23ptO2HDAB6AgUA8KAQODTtLbiVkq5Au8DLwEVMJw9tAYYl84ZRUI8Ph7ch+M7kpKbk3sgPi79NgWLGUZuEjcU8HpSkhshbBAfG8uO//s/Qj7+mPgHD0zlrkWL8szUqdTp108OBxVCPFZy8wYFG4CywB1gN7AT8AaeB7oppd61tL22UqqKsW5J4G9gK9AQGAv4KqXaaK0fpGjjCmwEmgGXgeVAReBVoItSqqnW+kx2vEghHCYmGv7ZlZTcnNgNcTHpt3EvCj6toHYbSW6EsLPLBw4QNHAgVw4dMiv37tmTTt98g3vp0g6KLGu01uiMtpUXQjySlFIP/QeVbEl2lFJPAS2BMhjW51wGtmqt92RHf1Y6BrwH/KG1Nn0DU0q9DnwH/J9Sap3W+liKdj9iSHS+0Vq/bWyTF1iMIVEaA3yUos0YDInOTqCD1vqusd27wJfGe7ay78sT4iGLjTGM1iQmN//sNCQ86clfCJ582pDc1G4DFWuDrBEQwq5i799ny/jx7PzyS3R80lRRd09POs+cSY1u3RwYXebEx8dz8+ZNIiMjiYnJ4EcTIcQjLV++fBQsWJDixYuT5yH8P1/Z89cRpVQ1YB7QKLHI+JzYyR6gn9b6lN06zQZKqbUYpreN11p/nKy8EYbXcA2okHwERynlAVwA7gIeWutYY7mzsX4RoL7W+mCKvg4DtYGGWuv9NsR81Nvb2/vo0aPW3kKIrImLhVP7jId4boZj2+HBvfTbuLlDrZZJyU3lupAnNw8wC5G9zm/ZQvCgQdw6fdqsvP6gQbSfMgXXIkUcFFnmxcfHExYWRnR0Bj+eCCFyFFdXVypUqJCphKdWrVocO3bsmNa6Vlb7sdu3DKWUJxCCYe3LJeB34LzxshfQE2gMbFFKNdRaX7ZX39ngMIZkp0yK8i7G5+CUU9W01leVUluBtkBzYIvxUgsMic6ZlImO0RIMyU5XwOpkR4hsFx8HZw4mjdwc2wb376bfxiU/eDdPSm6qNoC8sqGFENktOiKC9SNHcuD7783Ki1apQtcffqBSm5yzx9DNmzeJjo4mT548eHh4UKBAAZxkeqsQOVJCQgJRUVFcvXqV6Ohobt68SalSpbK1T3v+pPohhkRnKvB+8qlhAEqpUcBk4F0M07resmPf9lbZ+HwlRXkd4/OBNNodwJDs1CEp2clMm+T1hHg0JCTAucNJyc3ffxm2h05PPleo2SxpzU21p8A530MJVwhhcCIoiJVDhhB56ZKpTDk50XTECFqPH49z/vwOjC7rIo3bYnt4eFC4cGEHRyOEsIWTk5Pp7/GlS5eIjIzMUcnOs8AJrfUISxe11rFKqfeAzhhGSB7JZMe4AUHiCE5QissVjM9p7Z52MUU9a9ukF19a89SqZKa9EGlKSIB//zZPbu6Gp98mbz6o0SRp5KZ6Y0PCI4R46O5evcqaYcM4unixWblH7dr4zZ1LmYYNHRSZ9bTWpjU6BQoUcHA0Qgh7Sfz7HBMTg9Y6WzctsGey4wn8kV4FrbVWSh0AetixX7sxbjTwM+ACLLKwhsbd+JzWwoSoFPWsbSNE9tMaLhxPSm6OhMCdG+m3yZPXkNAkjtzUbAYubg8lXCGEZVprQn/9lbXvvMP9W7dM5XlcXGg1bhzN3nuPPM45c/po8nXFMnVNiMdH8r/POSnZuQOUz0S98sa6NlFKLQGezGKzfhnsCDcdwxqbs8BQS90an9Pa1cHSJ2VNmzSltTDLOOLjnZV7iVxGa/jvpDGx2QKhW+D21fTbOOWBJxomjdx4NwdX+XVViEfF7fPnWfH665xZt86svEKLFnT94QdK1KjhoMiEEOLRYM9kZyfQWSnVSWu92lIFpdSzGBbvB9uhv4pA9Sy2SXOislJqHBAAXAWe0VrfslAt0vic1re9xPsnX7VtTRshbKc1XDmbbORmC9y8lH4bJyeoUt8walO7DdRqYdgeWgjxSEmIj2fPt9+y6YMPiI2KMpXnc3fH9/PPaRgQgJKRECGEsGuy8xmGdTvLlFILgYUYdmPTQCWgD/ASEG+saxOttd0mHyul3gA+BiKAjlrr02lUDQPqAeXSuF4uWT1S/HNW2ghhnavnDSM2R4wJzvUL6ddXCirVSRq5qdUS3B/9rWiFyM2uHztG0MCBXNy1y6z8iWefpfOsWRSukKkloEIIkSvYLdnRWu9USr0KzAb6A/1SVFHAfWCw1npXyvaOopTqg2H62j2gs9b6UDrVDwPPAfXTuJ5YHpqiTfJrmWkjRObcuJg0chO62ZDsZMTryaTkxqcVFCyW7WEKIWwXHxPD1smT2TppEgmxsaby/CVK0PHrr3nypZce+snkQgjxqLPrGLfWej6GqWUTMWy9fNL42AJMAGporRfYs09bGKfV/QzEAs9rrbdn0GSl8bmrUsolxb08gJYYRoe2Jbu03VhWRSlVz8I9XzA+r8ha9CJXunUZtvwG3wyGQU9A//LwZT9Y/1PaiU75mtB5KLz/Oyy8BjOPQMA30Ox5SXSEyCEu7t7N9w0aEDJ+vFmi4/Pyyww9dgyfl1+WRMdGUVFRTJ06lTZt2uDh4UG+fPkoWrQoTZs2Zdy4cYSFpT0BY9WqVbzwwguULVsWFxcXSpYsSevWrZk5cyaxyT6vtPz3338opfD39wdgy5YtKKXMHnnz5qV06dI899xzbN682W6vOzlb3oPstn//fjp06ECRIkVM78n58+dN79WAAQMcFpsjDBgwAKUUW7ZscXQojzy7H12utb4IfGTv+9qbUqo5hgM9AV7UWq9Lrz6A1nqPUmo7hnVHnwPDjffKC8wEnIHpWuvYZG1ilFLfAh8A3yqlOmito4zt3sVwoOg2rfVe+7068di4fc24mYBx5ObiiYzblHki2chNayhWOrujFEJkk5ioKDaPHcuuadMM6/CMCpUvT+dZs6jWubMDo3t87Nq1i+7du3P58mXy589PkyZN8PDwICIigr1797Jr1y6mTJnCihUr8PX1NbWLjo7mlVdeYcmSJSilaNy4MU8//TS3bt1i69athISEMGPGDFatWoWXl1ea/QcHG5Yyd+3a1azcw8ODjh07mvo6dOgQQUFBBAcHM2PGDIYMGWKqW7FiRf7991+zHewexnvwMERGRuLn58fly5dp3bo15cuXRymFu/vju5GtrZ+nSGL3ZCcHWQG4AeeAbkqpbhbqbNNaz0lR9iqGzRjeVkq1BY4BjTAcRLobmGThPp8AvkAz4JRSaivgBTQGbhrvKQTcuWnYAjp0s2Hdzb9pHauUTOnK5slNibLZHqYQIvud3bCB4MGDuX3unFl5ozfeoN3kybgULOigyB4voaGhtG3blvv37zNq1CjGjh1rdqZPQkICy5YtY+TIkVy8aH5k3ssvv8zSpUupXbs2gYGB1KxZ03Tt9u3bBAQEsGjRIlq3bs2hQ4fSPBQ1KCgIV1fXVElEjRo1+Pnnn01/1lozYcIExo8fz4gRI+jRo4ddDmS05T14GPbu3culS5d45ZVXmDdvntm1p556iuPHj+e6A2cnT57M6NGjqSBr9DKULcmOUqoChnN3XNKqo7X+Kzv6zoLEVdiVjI+0mCU7WutTxuloE4COwPPABQwJzada6+iUN9BaRyul2gDvAy8D3YBw4BdgrNY6g1Xk4rF197YhuUkcvTkfavbrrUUlKyQlN7XbQCn5D50Qj5P74eGsGzGCQz/9ZFZevHp1/ObMoUKLFg6K7PGjtaZv377cv3+f8ePH89FHqSemODk50b17d9q1a8eFC0n/uw4MDGTp0qWULl2ajRs3UqJECbN2RYoUYeHChdy6dYv169czevRoZs2aler+UVFRbN68mbZt22Z4cKpSirFjx/Lrr79y5swZ1q1bR9++fa189Qa2vAcPS2KCVbly5VTX8ufPT41cuMW6p6cnnp6ejg4jZ9Ba2+0BDMRwRk18Rg979isPDXDU29tbi0dcVITWu1do/cMIrd+qr3VnpfWzpP94pazWX/TVes0crS+d0TohwdGvQgiRDRISEvTR33/XX3h46PFgekzIm1dvGDNGx96/7+gQH7r4+Hh97NgxfezYMR0fH2/3+69evVoDuly5cjo2NjZLbRs1aqQBPXPmzHTrHTt2TAPa1dVV37x5M9X1P//8UwP6u+++M5Vt3rxZA7pVq1YW79m9e3cN6E8//dRU19LDy8srw9dhy3ugtdZRUVF6woQJulatWtrV1VUXKlRIt2zZUv/2228W63t5eWnD10+tf/jhB+3j46NdXV21h4eHHjx4sA4PDzfVPXfuXJqvrX///lrrpPcq8c/JRUZG6hEjRuhy5cppV1dXXbNmTf3111/rhIQEi+/PRx99pAH9008/ZRh7ouT9X758WQ8cOFCXLVtW58mTR0+dOlVrrfWlS5f0559/rp9++mldpkwZ7ezsrD08PPTzzz+v9+zZY/F+GX2e/fv314DevHlzqjjDwsL04MGDdYUKFXS+fPl0yZIlLfaV/D1u1aqVvnfvnh41apSpXZUqVfRnn32mE7Lhe0dW/257e3tr4Ki24juy3UZ2lFJDgG8x7Lp2EDgDRKXbSIjHXfQ9OL4dDm8yjNyc2gcJ8em3KeJhPnJTpqphi2ghxGMr8tIlVr3xBv8sW2ZW7tmgAX5z51K6Th0HRfZ4W7nSsO9Qz549yZs381+Jbty4wd69e1FK0bt373Tr1qxZk7p163Lo0CE2b95Mjx49zK4nrtfp0qVLpvuPjDQc4efi4kLp0qXp378/S5YsISoqiv79+5vqpRxtssTa9yAxjjZt2rB//35KlixJly5diIqKYtOmTWzdupVdu3Yxbdo0i21HjhzJ119/TaNGjejYsSM7duzg+++/5/jx44SEhJjW5PTv35/Tp0+zfft26tSpQ926dQFokcEIZ3R0NO3atWPPnj2m2O7evct7773HmTNnsvQ6M+P69es0atSIuLg4WrRoQXR0NPnzG45SXL58OaNGjaJq1ar4+PhQqFAhTp8+zdKlS1mxYgUrVqygQ4cOADZ/nkeOHKFt27bcuHGDGjVq0L17d8LCwli6dCnBwcEsXLiQnj17pmoXExNDhw4dOHr0KE899RQ1a9YkJCSE0aNHExkZySeffGKnd8oBrMmQLD2AUxi2lm5rr3vKQ0Z2cpyYaK2PhGg9/yOt32uptZ9zxiM3vUtoPekFrYNnaP3vMRm5ESIXSUhI0Pt/+EFPLlzYbDTnE1dXvW3KFB1vxS/tj5PsHtlp3ry5BvSvv/6apXbr16/XgK5SpUqm6g8cOFAD+sMPPzQrj4+P16VKldL169c3K09vZOfq1au6UKFCGtDr1683lVsadcgMa98DrbV+8803NaB9fX11ZGSkqfz48eO6VKlSGtArV640a5MYp6enpz548KCp/Pr167pq1aoa0Bs3bjRr89NPP2lAf/TRR6liSGtkZ+LEiRrQTZs21REREabyw4cP66JFi9p9ZAfQzz//vL5vYQQ2NDRUHz58OFX5mjVrTCMoKUdPMvo8LY3sJCQkaB8fHw3o999/3+yev//+u3ZyctIFCxbUV65cMZUnHz1r2bKlvn79uuna3r17dd68eXX+/PnNPl97eJgjO/bcerocsFlrvcmO9xTi0RYfB//sgsWT4YP28GJRGNUKFn4MR7dCnIUtRwsWg6bPw+vfwIwjsOAqjPkdugyFCjVlFEeIXOLW6dPMa9eO4EGDeBARYSqv2Lo1Q44cofl77+GUxV/aRdbcvHkTgJIlS1rVLrObAyTe/8aNG2blu3fv5tq1a6l2YbMkOjqa3bt34+fnx507d6hevTpt2rTJUtyWWPseREVFMXfuXJycnJg5c6bZzmg1atTgww8/BOCbb76x2H7ixImmURowjFok7i7311+2L+uePXs2AF999RWFChUyldeuXZu33nrL5vun5OLiwvTp03F1dU11zcfHh9q1a6cqf+aZZ+jZsydnzpzh77//tjmGLVu2cOTIESpVqsTEiRPNtqN/4YUX6NatG5GRkfyUYj0gGNZlzZkzx2z0qGHDhnTq1Il79+6xb98+m+NzFHv+VzQMwxQ2IR5fCQlw7nDStLS//4L7kem3cStoOLyzdlvDtLRKtcHJrkdcCSFykIS4OHZNm8bmceOIu3/fVO5SqBDt/+//qO/vL2fmPCRaW7etb2K7zLZPrJfycw0KCgLAz8/PYrvE6VwpVa1alWXLlpEnT55Mx5xRbFm1f/9+7t+/T5MmTXjiiSdSXX/llVcYNmwY27dvR2ud6nUkTttKrlq1agBcvnzZqpgShYWFcfHiRcqVK0eTJk1SXe/ZsycTJkywqY+U6tevT9myae+G+uDBA9asWcOePXu4fv06MTExgGHaGcCpU6fw8fGxKYatW7cC8OKLL1r8d+OVV17hzz//ZOvWrYwePdrsWsWKFU3vf3L2+kwcyZ7Jzi/ASKWUp9Y6574jQiSnNVw4bkhuDm+Cv0Mg8lb6bVzcwLuFIbmp0xaq1oc88uusEAKuHD5MsL8/l1L8SlqjWzeenTGDgmXKOCiy3KlEiRKcOHGC69evZ7kdwLVr1zJVP/H+xYsXNysPDg6mbNmy1Ktn6cxx83N28ubNS/HixWnSpAldunTB2dk5SzGnxdr34NKlS4DhS7IlRYoUoXDhwkRERHDnzp1UW0OXK1cuVZvE0aEHDx5kKZa0YitfvrzF69mxXXN69zxy5Ah+fn6cP38+zTqJ67BskdFnklieWC85S58H2O8zcSR7fgP7HHgKWKOUeks7fmtpIbJOa7h8xjBqkzh6c/tq+m3y5oOaTY0bCrSF6k+Bc5q7rgshcqG46Gj++uQTtn/+OQlxcabyAqVK8eyMGdTs0UNGcxygbt26bN++nQMHDmRpC+c6xg0jzp07R3h4OEWLFk23/v79+039JTp37hxHjx7l9ddfT/OzT3nOTnaw9j1IlJl/by3VeRj/vtu7j4SEhDSvWZq+BoaRs169enH+/HkCAgIICAigcuXKuLu7o5RizJgxTJ482eoRNksyet2O+jwcxW7JjtY6Xin1OrAR2KyUigGuYFj0ZKG6rmKvvoWwyfULSYlN6CbDn9PjlAeqNUqallazGbjmfzixCiFynLDt2wn29+fGP/+YldcdMIAOX36JW7FiDopMdO7cmRkzZvD7778zZcqUTO9GVrJkSRo0aMD+/fsJDAw0rTWx5NixYxw+fBhXV1dat25tKk+cwpaZ9TrZydr3oIxxFPJcikNvE0VERBAREUGBAgUo+JAPwE08fyYsLMzi9bTK8+XLB8Ddu3dTXYuPj+fKlStZjuWff/7hn3/+oWHDhhbPWTp79myW75mWjD6Tf//9FyDXnc9jt4UDSqmawGGgJoa1Oy6AF1DRwiO9QzyFyF7hVyEkEL4ZDIOegAEVYOoA2PiL5URHKahSD54fAR+tgEW34Mud0H8S1POVREcIYdGDyEhWvfkmP7VsaZboFKlYkb5r1/LcTz9JouNgHTt2pFatWly8eJFJkyalW/fOnTscPXrU9Od3330XgAkTJqTaeCBRQkIC77zzDgD9+vUzm8YWFBRE/vz5adeuna0vA0j6oh6XbOQwM6x9Dxo0aICbmxt79uzh1KlTqerOnz8fMGwR/bBHDby8vChTpgwXL15k9+7dqa4vWbLEYrvEJODkyZOprm3atInYWAubDmUgPDwcsDxNLDw8nPXr11tsZ83n2bJlSwAWLVpEfHzqYy4SP5PEermFPVdJfwmUwrB2pzbgrrV2Suthx36FSF/kLdixFGa9BUNqQd/SMOUlWPsDXDptuU0Fb+jyJnzwJ/x2A745AP7/B091hvyFLLcRQgijU6tWMbNWLfbOmGGYHgugFI2HD2fIkSNUsbA4Wzx8Sinmz5+Pq6sr48eP5/333ycqyvyIQK01QUFBNGzYkL1795rKX375Zfz8/Lhy5Qq+vr4cP37crN3t27fp06cP69ato0KFCnz++eemaxEREWzdupX27dunOf0pqxJ/1T9x4kSW2ln7HhQoUIDXXnuNhIQE3njjDbM2J0+eNJ3Lkh07n2XG66+/DsCIESPM1sP8/fffTJ8+3WKbVq1aAYakIPn6mrNnz1r9OqpWrYqTkxObNm0ySwqjo6MJCAjg1i3L64Ct+Txbt26Nj48P586dY9y4cWZT45YtW8aff/6Ju7s7AwYMsOq15FT2XLPTHAjVWr9mx3sKkXX37sDfW5OmpZ09lPRlIy1lqoJPG8OGAj6toVjphxKqEOLxcu/GDdYMH86RBQvMykvWqoXfnDmUs7AzlHCsunXrsmHDBnr06MFnn33GN998Q9OmTfHw8CAiIoJ9+/Zx9epVXF1dUy14DwwM5OWXX2bZsmU8+eSTNG7cmIoVK3Lr1i22bt3KvXv3qFGjBqtWraJIkSKmdqtXryY2NtauU9j8/PwICQmhXbt2tGnThgIFClCiRAk+++yzbHsPJk+ezK5du1i/fj2VK1emVatWpkNFo6OjGTZsGJ07d7bba8yK9957j+DgYLZv306VKlVo3bo1d+/eZdOmTQwaNIhvv/3WNHqSqHLlyvTr14958+ZRt25dnn76aaKioti1axedO3cmOjraNBUss0qVKsXAgQP54YcfqFOnDm3btsXNzY2tW7cSHx/PgAEDLK7LsubzVEqxYMEC2rRpw6effsrSpUupW7cuYWFhbN++nbx58/Ljjz9SunTu+o5jz2QnBsPBokI8XNH34PgOQ2ITuhlO7oWE1MO3ZkqUMyQ2ietuStl/ZxYhRO6htebvwEDWDBvGvWRTmpycnWn5wQe0fP998qT4YiUeHc2bN+f06dPMnj2b4OBgQkNDCQ8Px93dnerVqxMQEICsa1X5AAAgAElEQVS/v3+qqUhubm4sXbqUFStW8OOPP7Jr1y727dtHwYIFadCgAb169WLw4MGpvlQHBwejlLJrIjBs2DDCw8P57bff+OOPP4iNjcXLyytTyY6170HBggUJCQnhyy+/ZNGiRQQFBZEvXz4aNmzI0KFDeemll+z2+rLKzc2NjRs3Mn78eBYvXszy5cupVKkSn376Kb169eLbb79NtTsewA8//ECZMmVYsGABa9eupXz58owZM4bRo0dTpYp1y81nzZpFjRo1mDt3Lhs3bqRw4cL4+voyadIki2fegPWfp4+PDwcOHOCTTz5hzZo1LFmyhMKFC9OtWzfef/99nnrqKateQ06m7LX7g1JqMVBPa516s3WR7ZRSR729vb2Tzyd+bMXGwIndhuTm8CbDoZ5xMem3KVIqKbGp0xY8q8jhnUIIu4i4cIGVQ4ZwauVKs/KyjRvjN3cupWrVclBkOV9CQoJpGk/16tVxegzOKIuLi6NUqVJUq1aNXbt2OTqcXGnRokX07t2bgIAAi5sGiOyX1b/btWrV4tixY8e01ln+D6o9R3ZGA3uUUlOA0VrrtPfnEyIr4uPg1P6kaWnHtsGD++m3cS9qmI5Wx5jgVPCW5EYIYVc6IYF9s2ezYdQoYpKtCXDOn5+2kybx1Ftv4WSHQx/F4+XWrVsMGzaMpk2bOjqUx96hQ4eoXbu22RfpI0eOMHLkSMCw7ko8/uyZ7PQFVgAjgG5KqS3Af6S99fREO/YtHicJCXAuNCm5ORIC9zM4bMvNHWo9bUhu6rSFirVBvmQIIbLJjRMnCB40iDDjieWJKrdvT5fZsylaSTYdFZaVKlWK8ePHOzqMXKF3797cuXMHHx8fihYtyvnz59m3bx/x8fEEBATkul3Jcit7JjvjMSQ2CqhqfKRFA5LsCAOt4cI/SWtujmyBOzfTb5PPFbxbJE1Lq9oA8trnNGkhhEhLfGwsO774gpAJE4hPdqK4a9GiPDN1KnX69XusD+cTIid56623CAwM5NChQ4SHh5M/f36aNWvGwIED6d+/v6PDEw+JPZOdV+14L/E40xqunEtacxO6GcIzOKgrrzNUb5I0La1GE3B2eTjxCiEEcPngQYJee40rhw6ZlXv37Emn6dNx9/BwUGRCCEveeOMN3njjDUeHIRzMbsmO1voXe91LPIZuXDQkNYeNCc51y6cXmzg5QdWGSdPSajYD1wIPJ1YhhEgmLjqaLR9/zI4vvkAnO6jP3dOTzjNnUqNbNwdGJ4QQIj1WJztKqe+BIGCj1jqD1eIi17l9zbjmxpjgXMrEruSV6iQlN7VaQoHC2R+nEEKkI2zbNoIGDuRmihPV6/n70+GLL3BNdnaKEEKIR48tIzv+wEAgWim1EUPis1JrfdkukYmcJTIc/g5Jmpb2798ZtylfM2nNzZOtoHCJ7I9TCCEy4UFkJBvHjGHvjBlmhxIXrVyZrj/8QKW2bR0YnRBCiMyyJdkpB/gZH75AF0ArpQ5gSHyCtdaH0mkvHheTesDOpWZfCCwqXTlpzU3tNlDM8+HEJ4QQWXB67VpWDB5MRFjSdFvl5ETj4cNpO3EizvnzOzA6IYQQWWF1sqO1vgR8B3ynlMoPPAN0BZ4FPgbGK6X+A4IxbEm9UWudwcmPIkcqWNxyolO8rDG5aQt12kApr4cfmxBCZNL9W7dY++67HP7FfAlqSW9v/H78kXKNGzsoMiGEENayywYFWut7wFJgqTLsudkYeA7DaM8QIAC4p5RahyH5WaW1vmaPvsUjoHYbWPsDFC6ZNC2tdlsoU1UO8hRC5AjH/viDVW+8QdTVq6Yyp7x5aTFmDC3HjCGvi+z+KIQQOZE9t54GDKeFAruMj/eVUhUxJD5+GJKf54EEpdRuYLzWer29YxAPWaNnYcYR8KolyY0QIke5e+UKq958k+N//GFWXqZhQ/zmzsWjdm0HRSaEEMIe7J7spKS1Pg98DXytlCqEYZpbV6Aj0BSQZCenK1BYdk4TQuQoWmsOz5vH2nfeITo83FSe19WVNhMn0mT4cJzyZvv/IoUQQmSzh/pfcq31HSAQCFRK5QGKPcz+hRBCiNv//suK11/nzNq1ZuVeTz9N1zlzKP7EEw6KTAghhL057GcrrXU8cN1R/QshhMhddEICe2fNYuPo0cTcvWsqz1ewIO2nTKHB4MEoJycHRiiEEMLebDlUdJOVTROAKCAM2AIsMyY+QgghRLa4ceIEwf7+hG3bZlZetVMnusyeTeHy5R0UmRDW2b9/P+vXr2fPnj3s3r2bS5cu4eLiQnR0dKbaDxo0iDlz5hAWFkbZsmXZvn07wcHBhISEcO7cOSIiIihXrhzt27dn1KhRVKpUKUvxVaxYkX///ReAhQsX8tJLL1mst2fPHhon2+lQp9jdVRnXAqcsFyKzbBnZaW2H/ocCh5RS7bXWt+xwPyGEEMIkIS6OHf/3f2wZP574Bw9M5W7FitHx66/x6dPH9GVKiJxk4sSJLF++3Kq2WmtWrlxJ3bp1KV++PKdPn+bpp58GoGzZsjRr1gwnJyf27NnD7NmzWbhwIatWraJFixZW9bdgwYI0k5358+dbdU8hMsuWZKeNDW1dgcrAq0ADYCLwhg33E0IIIcxcOXSIoIEDuXzggFl5rV696DR9OgVKlXJQZELYrmnTptSpU4dGjRrRqFEjSpcunem2e/fu5fLly/j7+wOG0ZNnnnmGMWPGmJIegAcPHhAQEMDPP/9Mnz59OH36NM7OzlmKs169eqxdu5br169TsmRJs2txcXEsWrQIb29vzpw5w4NkP0gIYS+2HCoaYmvnSql5wHEMu7NJsiOEEMJmcdHR/PXJJ2z//HMS4uJM5e6ennSeOZMa3bo5MDoh7GPUqFFWtw0ODgaga9euAFSpUoU1a9akqufi4sKsWbNYunQpYWFh7Nixg1atWmWpr759+zJixAgWL17MG2+Yf9Vbt24d165dY/jw4Xz88cdWvhoh0me3lZhKKc8s1G0HoLWOAnYDmf85QgghhEjDhR07mF2vHlsnTTJLdOoNHMjQo0cl0RECCAoKwtPTk4YNG2ZY19XVlWrVqgFw6dKlLPfVrVs33N3dLU5Xmz9/PkopXn755SzfV4jMsue2M+uVUkUyqqSUegYISlY0DRhkxziEEELkMjF377L67bf5sUULbvzzj6m8SMWKvLJ+PX5z5uBWtKgDIxTi0RAWFkZoaChdunTJ1Hq1+Ph400YDWZkqlyh//vx069aNXbt2cebMGVN5VFQUy5cvp2XLlnh5eWX5vkJklj23nq4JrFZKtdNa37NUQSnVCfgTiE0s01pvB7bbMQ4hhBC5yJn161kxeDC3z59PKlSKxsOG0XbSJPIVKOCw2ET20lrzICLC0WFkmUvhwg7bGCMoyPB7c+IUtowEBgZy7do1SpYsSbNmzazqs2/fvsyfP58FCxYwbtw4AP7880/u3btHnz59rLqnEJllz2RnJPAFsEwp1VlrHZv8olKqC7AEiAGetWO/QgghcqHo27dZO2IEh3780ay8RM2a+M2dS/mmTR0UmXhYHkRE8HkOHLEbFR6Oa5EMJ8Nki+DgYNzc3PD19c2w7oULFxg+fDgAEyZMwMXFxao+fX19KV26tFmyM3/+fPLly0fPnj2tuqcQmWW3aWxa6y+BzwBfYKFK9pOFUuo54A8MiU5HrfU2y3cRQgghMvbPsmXM8PY2S3Sc8ual5Ycf8vrBg5LoCGFBZGQkW7ZswdfXFzc3t3TrRkVF8fzzz3Pjxg26detGQECA1f3myZOH3r17c/LkSfbu3cuVK1fYuHEjnTt3pmgOTFZFzmLPkR201mOUUsUxrMH5HhiklOoB/AbcB57RWu+yZ59CCCFyj7tXr7L6rbc49vvvZuWe9evjN3cupevWdVBkQjz61q5dS0xMTIZT2GJjY+nRowf79++nRYsWLFy40Oa++/bty7Rp01iwYAFeXl7Ex8fTt29fm+8rREbsmuwYBQBFgdeUUqWBDsA9DInO7mzoTwghxGNOa82RBQtY8/bb3L+VdAZ1HhcXWn/8Mc1GjMApb3b8L008ylwKF2ZUeLijw8gyl8KFHdJvUFAQSim6dOmSZp2EhAT69u3L2rVrqVOnjmnam60aNGhAzZo1CQwMxNPTkyJFitC5c2eb7ytERuz+fwattVZK9QEKA52B2xgSnb327ksIIcTjLyIsjBUBAZxevdqsvEKLFnSdM4cS1as7KDLhaEoph619yWni4+NZtWoVDRo0wNMz7dNChg4dyuLFi6lWrRrr1q2jiB3f3z59+vDhhx9y9epVBg0aZPUaICGywupkRyk1LoMqh4E2wF9AJ+NObIm01nqitX0LIYR4/OmEBPbNns2GkSOJuXvXVJ7P3Z12n31GoyFDUE72PEFBiMfXjh07uHnzJm+//XaadcaMGcPs2bOpUKEC69evp1SpUnaNoU+fPkybNg2tNf369bPrvYVIiy0jO+MBDWS0d6Kf8ZGcBiTZEUIIYdHNU6cI9vfn37/+Miuv8swzdJk9myJyLocQWRIcHAykveX0V199xeTJkyldujQbNmygQoUKdo+hYsWKXL9+3e73FSI9tiQ7r9otCiGEEAJIiItj59SpbBk3jrjoaFO5a9GidJw2jdqvvOKw80mEeJSsXLmSiRPNfzeOiYmhSZMmpj+PHTvWtC4mKCiIcuXKUdfCJh6HDh3if//7HwCVKlVi0qRJFvv09/enRYsW9noJWZL8daX0zjvv8OKLLz7EaEROYnWyo7X+xZ6BCCGEyN2uhoYSNHAgl/btMyv3fuEFOk2fjrsVp7cL8bi6fv06u3eb7/uktTYrSxxFOXXqFCdOnGDIkCEW73X79m201gDs3LmTnTt3WqzXunVrhyU7KV9rcpcvX36IkYicRrauEUII4VBxDx6wddIktk2eTEJcnKm8gIcHnWfOpGb37g6MTohH04ABAxgwYECm6gYFBQHg55dyVYFB69atTcmOvZw/fz5L9aOTjeQmZ++4RO4jyY4QQgiHubhrF0EDB3L92DGz8roDBtDhyy9xK1bMQZEJ8fgoX74848ePp02bNo4ORYiHzpbd2LYD47XW6224R0dgnNa6mbX3EEIIkfPEREWxeexYdk2bBsl+uS3s5UXX77+nSocODoxOiMdLr169HB2CEA5jy8hOCWCNUuogMA8I1Fpfy6iRUqoM8BLwClAbOGFDDEIIIXKYc5s2ETxoEOFnzyYVKsVTb75Ju08/JZ+7u+OCE0II8VixJdnxBgKAscA04Cul1D/AXgwJTDgQCRQCigE1gKeAJzBsV30VeAP43oYYhBBC5BDRERGs+9//ODhnjll58erV8ZszhwoOWvgshBDi8WXLbmzxwAyl1A9AT8AfaIEhCQLDWTqJEvcJjQdCgB+AP7TWMdb2L4QQIuc4ERzMyoAAIi9dMpWpPHloPnIkrcaNI6+rqwOjE0II8biyeYMCY8KyAFiglHIHmmOYnlYKKAxEANeAw8AOrfXdtO4lhBDi8RJ1/Tprhg3j78BAs/LSdeviN3cunvXrOygyIYQQuYFdd2MzJjJrjQ8hhBC5lNaav3/7jdXDhnH/5k1TeZ58+Wj10Uc0e+898jg7OzBCIYQQuYFsPS2EEMKu7vz3HysDAji5YoVZeflmzfCbO5cSNWo4KDIhhBC5jSQ7Qggh7EJrzcG5c1k3YgQP7twxlTsXKEC7yZNpNHQoTnnyODBCIYQQuY0kO0IIIWwWfu4cKwYP5uyGDWblldu3p+v331OkYkXHBCaEECJXk2RHCCGE1XRCAntmzGDj++8TGxVlKncpXJhnpk6l7oABKKXSuYMQQgiRfSTZEUIIYZWbJ08SNHAgYdu2mZVX69qVLt99R8EyZRwUmRBCCGEgyY4QQogsSYiLY+fUqWwZN4646GhTuVvx4nSaPp0ne/eW0RwhhBCPBEl2hBBCZNrVI0cIeu01Lu3bZ1Ze68UX6fTNNxQoVcpBkQkhhBCpOTk6ACGEEI+++JgYQiZM4PsGDcwSHffSpen155+8EBgoiY4QD9FXX31F9+7deeKJJyhcuDAuLi54eXnRv39/jh49mmH7QYMGoZTiwoULAFy4cIGZM2fSv39/atasiZOTE0opdu3alal4lixZQocOHShRogSurq5UqFCB7t27sy3FNNf0jB8/HqUUSimeeeaZdOt6e3ub6v78889m1wYY1wqmLBe5U7aM7CilGgGV0rh8SGt9Mjv6FUIIYX+X9u8n6LXXuBoaalZed8AAOnz1FW5FizooMiFyr08//ZSoqChq166Nj48PAEePHmXevHkEBgaybNkyOnXqZLGt1pqVK1dSt25dypcvD8Aff/zBO++8k+U44uPj6devHwsXLqRAgQK0aNGCIkWKEBYWxsqVK6lfvz4tWrTI8n03btzIlStXKF26dKprBw4c4Pjx41m+p8idrE52lGFC9kEMSU1rrfXBZJeHAv3SaPq3Uqqu1lpb27cQQojsFxcdzZaPP2bHF1+g4+NN5YXKl6fr999TtWNHB0YnRO62fPlyGjRogKurq1n5rFmzGDp0KP7+/oSFhZHHwtlWe/fu5fLly/j7+5vKKleuzDvvvEOjRo1o1KgR/v7+hISEZBjHmDFjWLhwIc8++yy//vorxYoVM10LDw/nxo0bWX5t9erV4+DBgwQGBjJ8+PBU1+fPnw9A/fr1OXDgQJbvL3IXW0Z2OgO1gW9SJDqJFPBLirJqQBOgE7DKhr6FEEJkows7drD8tde4eeKEWXmDgADaf/45LoUKOSgyIQRA8+bNLZYPGTKEr776itOnT3PixAm8vb1T1QkODgaga9eupjI/Pz/8/PyyFMOpU6f48ssvqVChAr///jv58+c3u160aFGKWjHy6+fnx5kzZ1iwYEGqZCc+Pp7AwECqVatGo0aNJNkRGbIl2ekOaOCrNK5rrfWryQuUUl7AGaAnkuwIIcQjJyYqik0ffsjur7+GZAPwRStXxm/uXCq2bu244IQQmZI4mpMvXz6L14OCgvD09KRhw4Y29TNnzhzi4+MJCAhIlejYwtXVlR49evDTTz9x4sQJqlevbrq2ceNGLl++zJAhQ/jvv//s1qd4fNmS7DQGjmqtwzLbQGv9r1LqIPCUDf0KIYTIBuc2bSJ40CDCz55NKlSKJsOH02biRPIVKOC44ISwRGuIinB0FFlXoDBk0/bs8+bN48SJE1SrVo3KlSunuh4WFkZoaKhpgwJbbNy4EYD27dtz7tw5fvvtN/7991+KFStGu3bt8PX1tfreffr04aeffmLBggVMmDDBVL5gwQLT9SlTptgUv8gdbEl2ygPr07imjA9LLgJtbehXCCGEHT24c4f1I0eyf/Zss/ISNWrg9+OPlG/a1EGRCZGBqAh4MQdukLEoHNyL2OVWX3zxBUePHiUqKorjx49z9OhRypQpw8KFC3FySr3pblBQEGA+hc1aibu+7d69mxEjRvDgwQPTtc8++wxfX1/++OMPClkx7bVNmzaULVvWLNm5f/8+S5cupWnTphYTOSEssWXraRcg2tIFrfUArXVa975vbCuEEMLBTq1ezcxatcwSHZUnDy3GjOH1gwcl0RHiEbd27Vp++eUXlixZwtGjRylfvjwLFy6kQYMGFusHBwfj5uZm06gLQHR0NNHGQ4WHDx9Oq1atCA0N5c6dO6xfv55KlSqxYcMGBg8ebNX9nZyceOmllzh79iw7d+4EYNmyZURGRtK3b1+bYhe5iy3Jzk2gjBXtygDhNvQrhBDCRvdv3WJZ//4sfPZZ7ly8aCr3qFOHQXv20G7SJPKm2OVJCPHo2bBhA1prwsPD+euvv6hevTqtW7dm0qRJqepGRkayZcsWfH19cXNzs6nf+GQ7NJYtW5bg4GB8fHwoWLAgvr6+LF++HCcnJxYvXsypU6es6iMxqUncfW3+/Pk4Ozvz4osv2hS7yF1smcZ2BGihlCqgtY7KTAOllDuG9TrbbehXCCGEDY4vXcrKIUOIunrVVObk7EyrceNoPmoUeZydHRidEFlQoLBhSlhOU6Cw3W9ZpEgRWrZsyapVq2jatCljx46lQ4cONGrUyFRn7dq1xMTE2GUKW4ECBXByciIhIYG+ffum2gzBx8eHhg0bsmfPHkJCQnjiiSey3EedOnXw8fFh8eLFfPDBB6xbt45OnTpRvHhxm+MXuYctyc4KoD3wPvBhJtuMwTCFLdiGfoUQQlgh6to1Vr35Jsd+/92svEyjRjz344+UevJJB0UmhJWUstval8dF4sjH/v37CQ4ONkt2goKCUErRpUsXu/Tl5eXFuXPn8PLysni9YsWK7Nmzh2vXrlndR58+fRg9ejQDBw4kLi5OprCJLLNlGtsc4DIwWin1XkaVlVKjgFHAVeAHG/oVQgiRBVprjixcyAxvb7NEJ6+rK+2/+IKBO3ZIoiPEY6REiRIAXL9+3VQWHx/PqlWraNCgAZ6ennbpp169egDcunXL4vWbN28C4O7ubnUfffr0QSnFmjVrKFSoUJbPAhLC6mRHa30feAGIAT5TSp1VSk1RSr2klGqvlPJVSvU2lp0FPjXWfcHYVgghRDa7899/BD73HH/26cN94xcPgAotWxIQGkqz//0Pp7y2DPILIR41ISEhAFSpUsVUtmPHDm7evGnXZCHxXps3b051LTIy0nTgZ/369a3uo1y5cnTu3JnixYvTt29fXGUtocgim/4Pp7XeqZRqBswHvIERaVRVwHHgFa21HHUrhBDZTGvNwR9/ZN2IETyISDqHxLlAAXw//5xGQ4agLGxLK4R49G3dupVLly7Ro0cP8ib7sSI2NpbvvvuOX3/9FTc3N7OF/MHBhhUE9livk6h3796MHz/etCNc//79AYiLi+Ptt98mPDycJ598kubNm9vUT2LsQljD5p/ztNaHgCeVUs8CnYA6QAkMCc4N4DCwGlildbLjuIUQQmSL2+fPEzxoEGc3bDArr9y+PV2//54iFSs6JjAhhF2cOXOGV199lRIlStCgQQOKFy/OjRs3OHLkCJcvX8bV1ZWff/6Z8uXLm9oEBQVRrlw56tata/Gely9f5vnnnzf9+dixYwD4+/ubpqF17tyZsWPHmuq4uLjw22+/4evry4ABA/jmm2+oWLEiBw4c4Pz58xQvXpyFCxfafHiptSZOnMh3331n8Vq1atWYN2/eQ45IOILd5i5orVcBq+x1PyGEEFmjExLYO2sWG0aNIjYqaZNMl8KFeearr6j76qsO+9IhhLCfVq1aMWbMGEJCQggNDeXGjRvky5ePihUr8sILLzBs2DCqVq1qqn/q1ClOnDjBkCFD0rzngwcP2L17d6ryxINDAWrUqJHqepMmTTh48CAff/wxGzZs4MiRI3h4eDBo0CA+/PBDKlSoYOOrtd7Zs2c5e/asxWuJZwSJx5+SwZbHg1LqqLe3t3fy/ygJIXKPmydPEuTvT9jWrWbl1bp2pfOsWRQqW9ZBkQlhvYSEBE6cOAFA9erVcZKpl1b58ssv+d///sfq1avp2LGjo8MRIst/t2vVqsWxY8eOaa1rZbUvWZUqhBA5WEJ8PLumTmXz2LHEJful0q14cTpNn86TvXvLaI4QuVz58uUZP348bdq0cXQoQjx0kuwIIUQOde3oUYJee43/9uwxK6/Vqxedpk+nQKlSDopMCPEo6dWrl6NDEMJhJNkRQogcJj42lm2ffcZfEyeSEBtrKi/g4UHnWbOomWyRsRBCCJGbSbIjhBA5yOUDB1j+2mtcPXzYrLxO//4889VXuBUr5qDIhBBCiEePJDtCCJEDxEVHEzJhAtunTEHHx5vKC5UrR5fvv+eJTp0cGJ0QQgjxaJJkRwghHnEXdu4k6LXXuPHPP2blDV5/nfZTpuBSqJCDIhNCCCEebZLsCCHEIyr23j02ffghu6ZNg2THBBStXJmuc+ZQSXZWEkIIIdIlyY4QQjyCzm3eTLC/P+HJD8RTisZvv03bTz4hX4ECjgtOCCGEyCHkdK5klFLjlFLa+OidTr1ySqkflVKXlFLRSqmTSqkJSinXdNq4KqU+NtaNNrb9USlVLntejRAiJ3pw5w4rhgxhXtu2ZolOiRo1eG3bNjpOnSqJjhBCCJFJMrJjpJSqDowBNJDmCXxKqSrATqAk8DewFWgIjAV8lVJttNYPUrRxBTYCzYDLwHKgIvAq0EUp1VRrfcber0kIkbOcXrOG4MGDuXPhgqlM5clD85EjaTVuHHld0/w9RQghhBAWyMgOoAzHi38P3AaCMqj+I4ZE5xuttY/W+kWgOrAUaIohYUppDIZEZydQTWv9ota6MTDCeK8f7fJChBA50v1bt1g2YAALOnUyS3Q8atdm0J49tPv0U0l0hBBCCCtIsmPgDzyNIfm4nVYlpVQjY71rwMjEcq11HDAEiAXeUko5J2vjDLxl/OMbWuu7ydp9BYQCTyulGtjt1Qghcox/li1jZq1aHP7lF1OZk7MzrSdMYNDevXjWr+/A6IQQQoicLdcnO0qp0sAUYKPWekEG1bsYn4NTTlXTWl/FMKWtKNA82aUWQBHgjNb6oIV7LjE+d81q7EKInCvq+nWW9O7Nouef5+6VK6byMo0a8fqBA7QaO5Y8+fI5MEIhhBAi58v1yQ7wDeCGYWQmI3WMzwfSuH4gRT1r2wghHlNaa44uXszMWrU4umiRqTyvqyvtv/iCgTt2UOrJJx0YoRAiJ9i/fz+fffYZ3bt3p2zZsiilcM3CdNdBgwahlOJCsqmz//33H0OGDKFy5cq4uLjg7u5O/fr1+eKLL3jw4EE6d0tNKWV67Ny5M816ixcvNtWrWLGi2bXz589bLBciK3L1BgVKqS5AT+AjrfWpTDSpYHy+mMb1iynqWdsmTUqpo2lcqpKZ9kIIx7l79Sqrhg7l+J9/mpVXaNECv7lzKV6tmoMiE0LkNBMnTmT58uVWtX4xZK0AACAASURBVNVas3LlSurWrUv58uUBOHnyJM2bN+fGjRtUrlyZrl27EhUVxbZt2xg5ciRBQUFs2rQJZ2fnDO6e2oIFC2jatKnFa/Pnz7fqNQiRWbl2ZEcp5Q7MBE4Cn2eymbvx+V4a16NS1LO2jRDiMaK1JnTBAmZ6e5slOs7589Px668ZEBIiiY4QIkuaNm3KuHHjCA4O5kqyqbCZsXfvXi5fvkzXrkkz6EePHs2NGzd48803OXnyJEuWLGH16tWcOXOGJ554gm3btmU5MXFxccHb25tFixYRFxeX6vrNmzdZs2YN9WVtoshGOXZkRym1BMjqXI9+Wus9xn/+FCgPtEu5/ia9bo3POoPrtrZJk9a6lsWbGEZ8vLNyLyFE9ou8dIkVAQGcDA42K6/YujVd58yhWBUZlBVCZN2oUaOsbhts/O9R8mTnr7/+AuDDDz8kT548pvJSpUoxdOhQ3nnnHfbu3curr76apb769OnDBx98wNq1a+ncubPZtUWLFhEbG0vfvn05cCCt2f5C2CYnj+xUxLDlc1Ye+QGUUk8BbwC/aq03ZaHPSONzWif65Tc+301WZk0bIUQOp7Xm0M8/M7NWLbNEJ5+7O8/OnEm/jRsl0RFCOERQUBCenp40bNjQVObi4pJhu2LFimW5rz59+qCUsjgqNH/+fNzd3XnuueeyfF8hMivHjuxorRtmXCtNz2JI9HyUUltSXKthfB6nlAoAlmitvzWWhQH1gHJp3Ldcsnqk+OestBFC5GARFy6w4vXXOb16tVl5ZV9fus6ZQxEvLwdFJsRjRmvQEY6OIutUYVBZmthhN2FhYYSGhpo2KEjUvn17fvnlFyZNmsS0adNwcjL8Hn7t2jVmzpxJ3rx56dOnT5b78/Lyonnz5gQFBXH37l3c3Q2z9s+dO8fOnTvp168f+fPnz+AuQlgvxyY7dlI3nWs1jY9DycoOA88BaU0uTSwPTdEm+bXMtBFC5EBaaw7MmcO6ESOIiYw0lbsUKkSHL7+k3sCBZl8uhBA20hFwtaijo8g6j3BQRRzSdVCQ4ez05FPYACZPnsy+ffuYPn06K1eupH79+kRFRbF161aKFy/OsmXLqFmzplV99u3bl23btvHnn3/Sr18/IGljAmsSKCGyIidPY7Oa1nq81lpZegCJJ/u9ZCwbnqzpSuNzV6WU2XivUsoDaAlEANuSXdpuLKuilKpnIZwXjM8rbH1dQgjHuX3+PPM7dGDF4MFmiU7VTp0Y8vff1Pf3l0RHCOFwwcHBuLm54evra1bu6elJSEgI7du35+zZs6YNCqKiomjdujXe3tYvC+7Vqxf58uVjwYKk4wwXLFhA6dKladeundX3FSIzcmWyYy3j5gbbgVIk28FNKZUXw85uzsB0rXVssjYxQOI0uG+VUgWStXsXqA1s01rvzf5XIISwN52QwN6ZM5nl48PZDRtM5a5FivDczz/z8sqVFDZu7SqEEI4UGRnJli1b8PX1xc3NzexaaGgodevW5eTJkyxfvpzw8HAuXrzI1KlTWbx4MU2bNuXMmTNW9Vu0aFGeffZZNm7cyJUrV9i7dy8nTpzgpZdeMtsMQYjskNunsVnjVWAn8LZSqi1wDGgEVAZ2A5MstPkE8AWaAaeUUlsBL6AxcNN4TyFEDnPrzBmC/f05v2WLWXl1Pz86z5pFwTJlHBOYELmFKmyYEpbTqMIO6Xbt2rXExMSkmsIWGxtLz549uXTpEvv27aNePcNElCJFivD2228THx/PiBEjGDt2LAsXLrSq7759+7Js2TICAwM5d+6cqUyI7CbJThZprU8Zp6NNADoCzwMXMCQ0n2qtoy20iVZKtQHeB14GugHhGKbMjdVaX0jZRgjx6NIJCeyePp1NY8YQey/pCC23YsXoNH06T770kkxZE+JhUMpha19yoqCgIJRSdOnSxax8165dnDx5kqpVq5oSneR69erFiBEj2JLih52s6NKlC0WKFGHevHlcunSJmjVryvk64qGQZCcFrfUAYEAGdS6QxdEYrfV9YJzxIYTIoW6ePMny117jwvbtZuU1e/Tg2RkzcPfwcFBkQgiRtvj4eFatWkWDBg3w9PQ0u3bx4kUAChUqZLFtYvmtW7es7t/FxYUXXniBOXPmADBs2DCr7yVEVsiaHSGEyISE+Hj+n707j4/52v84/joREksiadS+RBVFbSmtWFoqSoXQUq1yUbteWrrconVtvapK96outpZQS4mIovxEKaJFreWqRlFRO6EixPf3RyZzM1kwSWSyvJ+Pxzwi53zP+X7mZBLzmXO+57tp8mSm1a3rkOgUuftuOi9YQJdFi5ToiEiOtWnTJs6cOUNISEiqutKlSwNw4MABYpNtsJLkp58SLyv29/fPVAw9evTAz8+PEiVKaBc2yTaa2RERuYVT+/YR1rs3f0ZFOZTf/8wztPnwQ4refbeLIhMRuT3htpsbp7xeByAwMJCSJUty8uRJBg8ezOeff26/yejx48cZNmwYAJ07d07V1hnNmjXj9OnTmepDxFlKdkRE0nHj+nV+fOcd1o8ZQ0J8vL28aKlSBH/6KTWeeMKF0YlIfhYREcH48eMdyuLj42nUqJH9+1GjRhEcHAwkXq9Tvnx56tVLfYtBT09PPvvsM5566im++uor1q5dS4MGDbhy5QqbN28mNjaWgIAAhg8ffmefVDpiYmIcnldKkyZN4uGHH87GiCQ3UbIjIpKGv3bvJuy554jZts2hvM4//kGb99+n8F13uSgyERE4deoUUSlmmy3Lcig7deoUAAcPHuTAgQMMGjQo3f46duzI1q1bmTx5Mj/88AMrVqygUKFCVK1alS5dujB06NBU21Vnl/j4+FTPNbnMXEskeZ+SHRGRZBKuXWPjW2/xw5tvcuOa/ZZZeJUtS7vPPqNail2MRERcoVevXvTq1eu2jl22bBlAmtfrJFe/fn2HG39mhmVZt31s6dKl0zze39/fqX5E0qJkR0TEJmbHDsKee46/du50KK/Xuzetp0zB00db3IpI7lOhQgXGjBlDixYtXB2KSLZTsiMi+d71q1f54c03+XHiRG5cv24v965Qgfaff869bdq4MDoRkczp0qWLq0MQcRklOyKSr/3500+EPfccp/budSh/YMAAWk2ahEc6950QERGRnE/JjojkS9fj4ogcM4ZN77yDdeOGvdzH35/2X37JPS1bujA6ERERyQpKdkQk3zm6eTPLevfm9P79DuUNBw8m6K23KFSsmIsiExERkaykZEdE8o1rf//N/40axZb33oNkO/z4VqlCyPTp+D/yiAujExERkaymZEdE8oU/NmxgWe/enP3tt/8VGkOjoUN59M03KVikiOuCExERkTtCyY6I5Gnxly+zdsQItn78scNsjl/16nSYMYMKjRu7MDoRERG5k5TsiEieFb1uHcv69OF8dLS9zLi5EfjKKzQfM4aCLrobuIiIiGQPJTsikudcjY3l+3/9i23TpjmU312zJiEzZlD+oYdcFJmIiIhkJyU7IpKnHFq9mvB+/bhw5Ii9zBQoQJPXXuORf/8bdw8PF0YnIiIi2UnJjojkCXEXLrD65ZfZMX26Q3mpOnXoMHMmZQICXBSZiIiIuIqSHRHJ9Q6uWEF4//7E/vmnvczN3Z1mb7xBsxEjKFCokAujExEREVdxc3UAIiIZdeXcOZb27ElocLBDolO6fn36/fwzzUePVqIjInnStm3bmDhxIk8++STlypXDGIOnp+dtt+/Xrx/GGI4ePQrA0aNHmTp1Kj179qRGjRq4ublhjGHLli231d+iRYt47LHHKFGiBJ6enlSsWJEnn3ySjRs33nZMY8aMwRiDMYbWrVvf9NiaNWvaj501a5ZDXa9evdIsz6jz58/j5+dH165ds6S/rLZkyRKMMSxcuNDVoeRImtkRkVxpf1gYEQMHcunECXtZgUKFePjf/6bJv/5FgYIFXRidiMidNX78eMLCwjLU1rIsIiIiqFevHhUqVABg8eLFDBs2zOm+EhIS6NGjB6GhoRQtWpSmTZvi4+PDkSNHiIiIICAggKZNmzrd79q1azlx4gSlS5dOVbd9+3Z+/fVXp/vMqP/85z+cP3+eUaNGOZSPGTOGsWPHMnPmTHr16pVt8aTUsWNH6taty4gRI+jQoQOF9CGfA83siEiu8veZM3zbrRvfdOzokOiUbdiQ/tu38/DrryvREZE8LzAwkH//+9+Eh4dzItnfwtvx008/ERMTQ/v27e1l99xzD8OGDSM0NJSDBw/yyCOP3FZfI0eOJDQ0lLZt23LkyBFWrlzJ/Pnz2bRpEydOnODpp592KjaA+vXrk5CQwPz589OsnzNnDgAB2XAtZkxMDB999BEhISHUrFnzjp8vI4wxDB8+nEOHDjE9xXWropkdEclFfl2yhIiBA7l88qS9rICHBy3GjSPwpZdwc9efNBHJH1577bUMtw0PDwdwSHZCQkIICQlxqp+DBw8yZcoUKlasyMKFCylSpIhDva+vL76+vk7HFxISwqFDh5g7dy5Dhw51qEtKgqpVq0bDhg3Zvn270/07Y8aMGVy9epUePXrc0fNkVocOHfDy8mLatGkMGjTI1eHkKJrZEZEc7+/Tp1nctSsLnnzSIdEpHxjIwF9+ocm//qVER0TkNi1btowyZcrQoEGDTPXz5ZdfkpCQwMCBA1MlOpnh6elJp06d+Pnnnzlw4IBD3dq1a4mJiaF79+5Zdr70WJbF9OnT8fHxITg42KHO39+fsWPHAvDcc8/Zrx8yxhAZGelw7Ndff03Tpk3x9vamSJEi1KlTh7feeou4uLhU50y63igyMpLvvvuOpk2bUqxYMXx9fXnyySfZv39/mrEWLlyYjh07smvXLqKiorJmAPIIJTsikqP9+u23TK1Viz3JljO4e3ry2JQpPLdhAyXuu8+F0YmI5C5Hjhxh165dtGvXDmNMpvpau3YtAK1atSI6OpoJEyYwYMAARowYwZo1azLVd7du3QCYO3euQ3nS90n1d9K+ffuIjo4mMDAw1XUwnTt3pm7dugA0adKEnj172h/JrzMaMGAAPXr0YNu2bTRr1ozg4GBiYmIYOXIkjz76KFeuXEnz3AsXLiQ4OJj4+Hjat29P2bJlWbJkCY0aNWLnzp1ptmnevDkAERERWfDs8w59FCoiOdLlU6f4bsgQ9n7zjUN5hSZN6DBjBn7VqrkoMhHJKSws4kj96XhO54knhswlGhm1bNkywHEJW0bt3bsXgKioKF5++WWuXr1qr5s4cSJBQUEsXrwYb29vp/tu0aIF5cqVY+7cuYwbNw6AK1eusGTJEgIDA7nnnnsyHf+tbNiwAYCGDRumqps8eTJjxoxh586d9O3bN80NChYvXsznn39OuXLliIyM5N577wXg4sWLBAcHs3HjRkaPHs2kSZNStZ06dSqff/45/fr1AxJnmUaMGMHbb79N79692bZtW6o2Dz74oEPckkjJjojkOPsWLSLi+ef5+9Qpe5l74cK0nDCBB4cMwa1AARdGJyI5RRxxvMlbrg7DaW8wgsIUdsm5w8PDKVy4MEFBQZnqJy4uzr4Ma+jQoTz66KNMnjwZf39/oqKi6N+/P2vWrKF///7pbjRwM25ubnTt2pXJkyezefNmAgMDWbp0KbGxsdmyhA1g165dAFSvXj1D7T/88EMAxo0bZ090ALy9vZk6dSp169Zl2rRpvPnmm6lmjho3bmxPdCBxE4Lx48cTGhrK9u3b7WOS3H22lQ7pzfzkV1rGJiI5xuVTp1j09NMsfOoph0SnYtOmDNy5k0ZDhyrRERHJoNjYWCIjIwkKCqJw4cwlWwkJCfZ/lytXjvDwcGrXro2XlxdBQUGEhYXh5ubGggULOHjwYIbOkZTUJO2+NmfOHAoWLJihHd4y4qTtGtGMbLJw7do1tmzZgjGGZ599NlV97dq1qVOnDrGxsWkmJ88880yqsoIFC9KpUyeANO9f5O7ujpeXF+fPn+f69etOx5xXKdkRkRxh36JFTK1Vi70LFtjL3AsXpvX779Nr/Xr8qlZ1YXQiIrnfqlWr7NeAZFbRokVxc0t8G9m9e/dUMxO1a9emQYMGWJbF+vXrM3SOunXrUrt2bRYsWMDx48dZvXo1bdq0wc/PL9Px344LFy4A4OXl5XTbM2fOEB8fT6lSpdK92au/vz8Ax48fT1VXqVIlp9tA4qyRZVlcvHjR6ZjzKi1jExGXunzyJCsGD2Zfijs/V2zWjA4zZnBXsql/EZHkPPHkDUa4OgyneZL2m987bdmyZRhjaNeuXZb0V6lSJaKjo2/6xnzr1q32GZKM6NatG8OHD6dPnz5cv34925awARQvXhwgU4nD7WwC4cxGEZZl3bT+woULGGMydJ1UXqVkR0RcZu+CBaz45z/5+/Rpe5l74cIETZzIg4MHY9w0+Swi6TMYl137ktskJCSwYsUKHnjgAcqUKZMlfdavX5/o6GjOnj2bZv2ZM2cAKFasWIbP0a1bN0aMGMHKlSvx9vZ2+l5AmVGyZEmAdJ/fzfj5+VGoUCFOnDjBlStX0lw2+McffwCk+fNIqkvpyJEjAJQtWzZV3bVr17h06RK+vr6463YMdnonISLZ7vLJkyx86ikWPf20Q6JT6eGHGbRrFw+98IISHRGRLLRp0ybOnDmTpclCUl/r1q1LVRcbG2u/4WdAQECGz1G+fHmCg4Px8/Oje/fu6S4JuxOStpZO7942SUv30ro+pmDBgjRq1AjLspg3b16q+j179rBz5068vLzs50numxQ7kSadZ/HixUDidtcpJcVZr1699J5SvqR3EyKSbSzLYs833/BJzZrsW7TIXl6wSBHafPghPdet07I1EZE7IDw8HMiaLaeTPPPMM/j7+7Nq1Spmz55tL79+/Tovvvgi586d4/7770/zjbkzwsPDOX36NJ988klmQ3ZKs2bNANi6dWua9UmzKylvfJpkyJAhAIwePZrff//dXh4bG8vgwYOxLIsBAwakut4J4Mcff2TGjBn27y3LYvTo0Rw5coS6devSuHHjVG2S4kyKWxJpjktEssWlv/5ixfPP8+u33zqUV3rkEUKmT+euKlVcFJmISO4TERHB+PHjHcri4+Np1KiR/ftRo0YRHBwMJF6vU758+XQ/9Y+JieGJJ56wf79v3z4A+vbta1+GFhwczKhRo+zHeHh4MG/ePIKCgujVqxcffvgh/v7+bN++ncOHD+Pn50doaGimb16aUePHj2fatGlp1lWrVo2vvvrqpu1r1KhB5cqV2bJlC3FxcalmlR577DE8PT1577332LNnD2XLlsUYw6uvvkr16tXp3Lkz/fv35/PPP+f+++/n0UcfpUiRIkRGRnLq1CkaNWrE2LFj0zz3oEGD6Nu3L5999hlVqlRh165d7N27Fy8vL2bOnJlmm8jISADatm17i5HJX5TsiMgdZVkWe7/5hhWDB3PFtn4bEmdzgiZNouGgQVqyJiLipFOnThEVFeVQZlmWQ9kp2xb+Bw8e5MCBAwwaNCjd/q5evZqqP/jfjUPhf/dxSa5Ro0bs2LGDsWPHsmbNGnbv3k2pUqXo168fb7zxBhUrVnT6uWWV33//3WFGJbmkewTdjDGGvn378vrrrxMeHs5TTz3lUF+2bFnCwsIYN24cGzdu5NKlS0Di7nRJ9+b57LPPaNq0KdOmTWP9+vVcv36dKlWqMHToUIYNG5buFuBdunShbdu2TJgwgbCwMAoWLEiHDh2YMGECNWvWTHX8lStXCAsLo3bt2jz00EO3fG75ibnVrg6SOxhj9tasWbNm8j9KIq52s9mcDjNm4JsNd8AWkdzrxo0b9iVC1atXt291LM6ZMmUKr7zyCt999x1t2rRxdTi5yokTJ6hcuTKtWrVi2bJld/x8vXr1Yvbs2axbt47mzZvfdrt58+bx7LPPMnXq1JsmtTmFs7/btWrVYt++ffssy6rl7Ln0V0NEspxlWeyeN4+pNWs6JDoFixbl8Y8/puf//Z8SHRGRbFKhQgXGjBlDixYtXB1KrlO6dGmGDBnC8uXLyakfKFuWxdtvv02VKlXo06ePq8PJcbSMTUSy1KUTJ4gYNIj9S5c6lPs3b07I9OlKckREslmXLl1cHUKuNnLkSKZPn8748eOZP3++q8NJJSwsjJ07d/LNN9+kudlBfqdkR0SyhGVZ7Jk3j++GDOFKsnsSFCxalFbvvEODAQN0bY6IiOQ6Pj4+9nsG5UQdO3a85c1G8zMlOyKSabExMUQMGsSBsDCHcv8WLRJncypXdlFkIiIiucesWbOYNWuWq8PIU5TsiEiGWZbF7tBQvhsyhLhz5+zlhYoVo9U77/BA//6azRERERGXUbIjIhkSGxNDxMCBHEixO03lli0J+fJLfPz9XROYiIiIiI2SHRFximVZ7J47l+9eeCH1bM7kyYmzOS66gZyIiIhIckp2ROS2xR4/zvKBA/lveLhDuWZzREREJCdSsiMit2RZFru+/pqVL75I3Pnz9vJCxYrx2JQpBPTrp9kcERERyXGU7IjITcUeP87yAQP47/LlDuX3tGpF+y++wKdSJRdFJiIiInJzSnZEJE2WZbHzq69YNXSo42yOl1fibE7fvprNERERkRxNyY6IpHLxzz9ZPmAAByMiHMqrPPYY7b/4guIVK7ooMhEREZHbp2RHROwsy2Ln7NmsHDqUqxcu2MsLeXnR+t13qd+nj2ZzREREJNfQ3f5EBEiczZnXrh1hzz3nkOhUad2a5/fs0bI1EZEcZNu2bUycOJEnn3yScuXKYYzB09Pzttv3s20sc/ToUQCOHj3K1KlT6dmzJzVq1MDNzQ1jDFu2bLmt/hYtWsRjjz1GiRIl8PT0pGLFijz55JNs3LjxtmMaM2YMxhiMMbRu3fqmx9asWdN+7KxZsxzqevXqlWZ5Rp0/fx4/Pz+6du2aZrxZdZ7M9BsZGYkxhl69emVpLLerQ4cOlC5dmkuXLrnk/DejmR2RfM6yLH6ZNYtVw4Y5JDke3t489u671O/dW0mOiEgOM378eMLCwjLU1rIsIiIiqFevHhUqVABg8eLFDBs2zOm+EhIS6NGjB6GhoRQtWpSmTZvi4+PDkSNHiIiIICAggKZNmzrd79q1azlx4gSlS5dOVbd9+3Z+/fVXp/vMqP/85z+cP3+eUaNGZds5c5vRo0fzwAMPMGnSJMaNG+fqcBxoZkckH7t47BihbduyrHdvh0Tn3jZtGLRnDwFatiYikiMFBgby73//m/DwcE6cOOFU259++omYmBjat29vL7vnnnsYNmwYoaGhHDx4kEceeeS2+ho5ciShoaG0bduWI0eOsHLlSubPn8+mTZs4ceIETz/9tFOxAdSvX5+EhATmz5+fZv2cOXMACAgIcLpvZ8XExPDRRx8REhJCzZo17/j5AAYPHsyvv/7KE088kS3nywoBAQG0bt2aKVOmcObMGVeH40AzOyL5kGVZ/DJzZuJszsWL9nIPb29av/8+9WxLAEREJGd67bXXMtw23HZj6OTJTkhICCEhIU71c/DgQaZMmULFihVZuHAhRYoUcaj39fXF19fX6fhCQkI4dOgQc+fOZejQoQ51SUlQtWrVaNiwIdu3b3e6f2fMmDGDq1ev0qNHjzt6nuRKlChBiRIlsu18WaV79+6sWrWK2bNn89JLL7k6HDvN7IjkMxeOHk2czenTxyHRuffxx3l+717qP/ecEh0RkTxs2bJllClThgYNGmSqny+//JKEhAQGDhyYKtHJDE9PTzp16sTPP//MgQMHHOrWrl1LTEwM3bt3z7LzpceyLKZPn46Pjw/BwcE3PTYqKorWrVvj4+ODt7c3rVq1SvN6p+TX1pw4cYK+fftSvnx53N3def/994GbX7Nz+PBhunbtip+fH8WKFaNx48ZEpNg5NaWTJ0/Sr18/SpUqRZEiRQgICCA0NJTDhw9jjKF58+ZptgsPD6d169b4+fnh6elJtWrVGDVqVLrX5XTs2JHChQvzxRdf3DSe7KZkRySfsCyL7dOn8+n99/PbypX2co/ixQmZMYNnIyLwLl/ehRGKiMidduTIEXbt2kW7du0y/cHW2rVrAWjVqhXR0dFMmDCBAQMGMGLECNasWZOpvrt16wbA3LlzHcqTvk+qv5P27dtHdHQ0gYGBFCpUKN3jNm3axMMPP8yxY8d4/PHHqV69OmvWrOGRRx7h+++/T7PNqVOnaNiwIREREQQGBvL444/fMmE8dOgQDz30EPPnz6dEiRK0b9+eGzdu0L59exYsWJBmm9OnT9O4cWO+/PJLPDw8CAkJoXjx4vzjH//gvffeS/dcL7/8MiEhIfzwww/cf//9BAcHEx8fz5tvvknz5s25fPlyqjbFihWjQYMG7N+/n99///2mzyU7aRmbSD5w4ehRwvv149CqVQ7lVdu2pd1nnynJEZFcybLgwg1XR+G84m7gqgn0ZcuWAY5L2DJq7969QOKsxssvv8zVq1ftdRMnTiQoKIjFixfj7e3tdN8tWrSgXLlyzJ07137B+5UrV1iyZAmBgYHcc889mY7/VjZs2ABAw4YNb3rcF198wciRI3nzzTftCeSnn37K888/T69evTh06FCqnfJWrFjBE088QWho6G3vovf8889z8uRJnn/+eT766CPc3BLnLL788kv69euXZpvhw4dz6NAhnnjiCebNm4eHhweQmKi2bds2zTYLFizg3XffpX79+nz77bf4+/sDcO3aNQYPHsznn3/OmDFjeOedd1K1ffDBB9mwYQMbNmzIlp/R7dDMjkgeZlkWO2bM4NP773dIdDyKF6fDrFl0Xb5ciY6I5FoXboDvgdz3cGWCFh4eTuHChQkKCspUP3FxccTFxQEwdOhQHnnkEXbt2sXFixf5/vvvqVy5MmvWrKF///4Z6t/NzY2uXbvy+++/s3nzZgCWLl1KbGxstixhA9i1axcA1atXv+lxlSpVYuzYsQ4zSZYmCgAAIABJREFUZYMGDeKhhx7i+PHjLFmyJFUbDw8PPvroo9tOdA4dOsTq1avx9fVl0qRJ9kQHoG/fvjRu3DhVm0uXLjF37lzc3d354IMP7IkOQMuWLXnmmWfSPNeECRMAmDdvnj3RAShYsCAffPABpUuX5ssvv+TGjdQv5Pvuuw+AnTt33tbzyg5KdkTyqIt//klocHCqa3OqBgfz/N691OvZU9fmiIjkI7GxsURGRhIUFEThwoUz1VdCQoL93+XKlSM8PJzatWvj5eVFUFAQYWFhuLm5sWDBAg4ePJihcyQlNUm7r82ZM4eCBQtmaIe3jDh58iTALTdZ6NSpE+7uqRdLJd2XJ617DQUEBFCuXLnbjuXHH38EoG3bthQtWjRVfVqJy/bt24mLi6NRo0b2LcaTe+qpp1KVnTx5kp07d1KjRo00kzxPT08aNGjA+fPn0/y53nXXXUDiMr2cQsmOSB5jWRa/zJ7N1Fq1+O277+zl9tmc8HC8nfgDKyIiecOqVauIj4/PkiVsRYsWtc8udO/ePdU1LbVr16ZBgwZYlsX69eszdI66detSu3ZtFixYwPHjx1m9ejVt2rTBz88v0/Hfjgu2WzJ4eXnd9LhKlSqlWZ40K3L8+PFUdRUrVnQqlqQ+0muXVnlSm7QSnfTa/PHHHwD8+uuv9pu2pnwsX74cSLweKKWkJYsXkt3OwtV0zY5IHhJ7/Djh/ftzMMXOLPc+/jjtv/hCSY6I5CnF3eDczVcY5UjFXfRR87JlyzDG0K5duyzpr1KlSkRHR9/0zf7WrVvtMyQZ0a1bN4YPH06fPn24fv16ti1hAyhevDgAF5OtjnCGZVnp1t3u8rWUfWVkRUZ6bdKKL2nGrkyZMjz22GM37TetpDMpyUkau5xAyY5IHmBZFrvmzGHlCy8Qd/68vdzD25vW771HPW0nLSJ5kDHgU8DVUeQOCQkJrFixggceeIAyZcpkSZ/169cnOjqas2fPplmfdHPJYsWKZfgc3bp1Y8SIEaxcuRJvb2+n7wWUGSVLlgRI9/klSZoNSenIkSMAlC1bNtOxJPVxq3Mll/RzTqsO4OjRo6nKytuu4y1dunSaW1/fyrlz5wC4++67nW57p2gZm0gud+nECb7p2JGlPXo4JDpVHnuMQXv2UL93byU6IiL53KZNmzhz5kyWJgtJfa1bty5VXWxsrP2GnwEBARk+R/ny5QkODsbPz4/u3bs7PSOSGXXr1gVg//79Nz1u8eLFDtcwJZk/fz4ATZo0yXQsSX2sWLEizW2fk86VXEBAAB4eHmzZsoVjx46lql+0aFGqsvLly1O9enV27dpFdHS003H++uuvANSrV8/ptneKkh2RXMqyLHaHhjK1Vi0O2LYSBSjk5UX7L76g28qVFE9nna6IiOQv4eHhQNZsOZ3kmWeewd/fn1WrVjF79mx7+fXr13nxxRc5d+4c999/f6bf7IeHh3P69Gk++eSTzIbslGbNmgGwdevWmx73xx9/MHbsWIeyzz//nM2bN1O6dGmeeOKJTMdy77330rJlS86dO8fw4cMddkKbOXMmmzZtStXGy8uLZ599luvXrzNs2DDi4+PtdZGRkcybNy/Nc73xxhskJCTQqVMn9uzZk6r+0KFDzJgxI822SWOVNHY5gZaxieRCl/76i4hBg9ifYjvLe4KCCJk+neJOXvgoIiK5S0REBOPHj3coi4+Pp1GjRvbvR40aRXBwMJB4vU758uXT/cQ9JibG4U35vn37gMRtjZOWoQUHBzNq1Cj7MR4eHsybN4+goCB69erFhx9+iL+/P9u3b+fw4cP4+fkRGhrqstUF48ePZ9q0aWnWVatWja+++uqm7WvUqEHlypXZsmULcXFx6c4q9evXj4kTJ/Ltt99Sp04dfvvtN3766ScKFizIzJkzM73zXZJPP/2UJk2a8PHHH/P9998TEBBAdHQ0UVFRDBw4MM3nOnHiRCIjI1m0aBFbt26lcePGnDx5ksjISJ5//nk+/vjjVJtLdO/end27dzNp0iTq1atH/fr1qVy5MhcvXuSPP/5g//791K1bl969ezu0u3TpEj///DP33XcflStXzpLnnBU0syOSy+z55hum1qrlkOgUKlaM4GnT6L56tRIdEZF84NSpU0RFRdkfkDjjn7wsafvfgwcPcuDAgZvO6ly9etWhbWxsLJB449CkskOHDqVq16hRI3bs2EG3bt34888/CQ8P5/r16/Tr14/t27dTu3btO/Dsb8/vv//u8JySP5LuoXMzxhj69u1LbGysfWYsLY0bN2b9+vWULl2a5cuX8+uvv9KyZUsiIyNp06ZNlj2fqlWrsmXLFrp06cLJkycJCwvDsiyWLl2a7nbcJUuWZPPmzfTu3ZsrV66wdOlSzpw5w8yZM+3bVae10cDbb7/N2rVrCQkJ4dixYyxdupQdO3ZQpEgRXn311TRndpYsWUJcXFy6Nzh1FXOznSIk9zDG7K1Zs2bNpLsZS95z+dQpVjz/PPtSrLH1b9GCDjNm4JPsxl8iInnBjRs3OHDgAJB4Y8fkN1KU2zdlyhReeeUVvvvuuyx9850fnDhxgsqVK9OqVSuWJVsynhe8/fbbDB8+nIkTJ/Laa69lur/WrVuzceNGjhw5csvtwZ393a5Vqxb79u3bZ1lWLWfj0l8NkVxg36JFTK1VyyHRKVikCG0/+YQea9Yo0RERkXRVqFCBMWPG0KJFC1eHkuuULl2aIUOGsHz5cnLrB8pJG0Uk98MPPzBhwgTc3d3p0qVLlpxj9erVvPzyy9l2H6TbpWt2RHKwv0+fZsXgwez95huH8kqPPEKHGTPwveceF0UmIiK5RVa8mc3PRo4cyfTp0xk/fnyau57ldI0bN6Zs2bLUqFGDokWL8ttvv7Fjxw4g8ZqerLi+Zty4cZQsWZJXX301031lNSU7IjnUr0uWEDFwIJeT3YzNvXBhgt5+mwf/+U+MlnOIiIjccT4+PvZ7BuVGI0aMICIigqioKC5cuIC3tzePPfYYgwcPzrLd+ZYuXZol/dwJSnZEcpi/z5zhuyFD2JNiS8iKTZvSYeZM7rr3XhdFJiIiIrnN6NGjGT16tKvDcBklOyI5yP6wMJYPGMDlv/6yl7kXLkzLCRN46IUXNJsjIiIi4gQlOyI5wJWzZ1n54ovsmjPHobxC48Z0mDkTv2rVXBSZiIiISO6lZEfExf67fDnh/ftzKSbGXubu6cmj//kPD734Im4FCrgwOhEREZHcS8mOiIvEnT/PyqFD2Tl7tkN5+UaN6DBrFiWqV3dRZCIiIiJ5g5IdERc4uGIF4f36EXv8uL2sgIcHLcaPJ/CllzSbIyIiIpIFlOyIZKO4CxdY9dJL/DJjhkN5uQcfpMOsWdxdo4aLIhMRERHJe5TsiGSTQ6tXs6xPHy4eO2YvK1CoEM3HjqXxK6/g5q5fRxEREZGspHdXInfY1YsXWf3KK2z/4guH8jIPPEDH2bMpWauWiyITERERyduU7IjcQb+vWcOyPn24cOSIvcytYEGajxlDk3/9S7M5IiIiIneQ3mmJ3AFXY2P5/tVX2fbZZw7lpevXp+OsWZSqU8dFkYmIiIjkH7odu0gWi/6//+PT2rUdEh03d3eajx1L36goJToiIpJp27ZtY+LEiTz55JOUK1cOYwyenp633b5fv34YYzh69CgAR48eZerUqfTs2ZMaNWrg5uaGMYYtW7bcVn+LFi3iscceo0SJEnh6elKxYkWefPJJNm7ceNsxjRkzBmMMxhhat25902Nr1qxpP3bWrFkOdb169UqzPKPOnz+Pn58fXbt2TVV36tQpevToQZkyZShQoECWnjc9S5YswRjDwoUL7+h58grN7IhkkfhLl/j+tdf4eepUh/JSdevScdYsSter56LIREQkrxk/fjxhYWEZamtZFhEREdSrV48KFSoAsHjxYoYNG+Z0XwkJCfTo0YPQ0FCKFi1K06ZN8fHx4ciRI0RERBAQEEDTpk2d7nft2rWcOHGC0qVLp6rbvn07v/76q9N9ZtR//vMfzp8/z6hRo1LV9enTh/DwcOrUqUPLli1xd3fn3nvvvaPxdOzYkbp16zJixAg6dOhAoUKF7uj5cjslOyJZ4PD69YQ99xzno6PtZW7u7jR7/XWajRxJAf0hEhGRLBQYGEjdunVp2LAhDRs2TDMpSM9PP/1ETEwMffv2tZfdc889DBs2zN5f3759Wb9+/S37GjlyJKGhobRt25avv/6au+66y1537tw5Tp8+7dwTA+rXr8+OHTuYP38+Q4cOTVU/Z84cAAICAti+fbvT/TsjJiaGjz76iJCQEGrWrOlQFx8fz4oVK/D392fHjh24uWXPgiljDMOHD6dr165Mnz6dQYMGZct5cyslOyKZEH/5MmtHjGDrRx85lJesXZuOs2ZRJiDARZGJiEhe9tprr2W4bXh4OADt27e3l4WEhBASEuJUPwcPHmTKlClUrFiRhQsXUqRIEYd6X19ffH19nY4vJCSEQ4cOMXfu3FTJTkJCAvPnz6datWo0bNjwjic7M2bM4OrVq/To0SNV3YkTJ0hISKBSpUrZlugk6dChA15eXkybNk3Jzi3omh3AGNPZGLPaGHPaGBNnjDlijPnWGJPmvKsxxscY874x5g9jzFXb1w+MMT43OYebMWaoMWa3MeaKMeaUMWahMaZmem0kZ/tjwwam1a3rkOiYAgVo9sYb9P/5ZyU6IiKSIy1btowyZcrQoEGDTPXz5ZdfkpCQwMCBA1MlOpnh6elJp06d+Pnnnzlw4IBD3dq1a4mJiaF79+5Zdr70WJbF9OnT8fHxITg42KHO39+fSpUqAbB+/Xr79UP+/v4Oxx05coTBgwdTtWpVPD098fPz48EHH2TChAlcuXLF4dhr164xdepUmjRpgo+PD0WKFKFatWr069ePPXv2OBxbuHBhOnbsyK5du4iKisr6J5+H5OtkxxhTwBgzF1gINAZ+BpYCx4BgoHkabfyArcCLwHXb8bHAC8BPtvqUbQzwDfAeUB6IAPYCnYCfjTEPZfVzkzvn2t9/s3LYMGY98gjnDh2yl99dqxZ9t2zh0fHjtWxNRERypCNHjrBr1y7atWtH4tuTjFu7di0ArVq1Ijo6mgkTJjBgwABGjBjBmjVrMtV3t27dAJg7d65DedL3SfV30r59+4iOjiYwMDDVdTGdO3emU6dOAJQqVYqePXvSs2dPOnfubD/mhx9+oE6dOnzyySfcuHGDDh06EBgYyOnTp3n99df566+/7MdevnyZli1b8s9//pNdu3bRuHFj2rdvj4+PD7NmzWLRokWp4mvevDkAERERd+DZ5x35fRnbBOBZYAXwD8uyziZVGGN8gRJptHkPqAp8CzxtWdZ12/EfAkOAd4GeKdo8B3QGDgLNLMv6y9amE7AImGuMuS+pL8m5jvz4I2HPPcfZgwftZcbNjSavvcYjo0fj7uHhwuhERPIXy4ILsa6OwnnFvSCTeUaGLVu2DHBcwpZRe/fuBSAqKoqXX36Zq1ev2usmTpxIUFAQixcvxtvb2+m+W7RoQbly5Zg7dy7jxo0D4MqVKyxZsoTAwEDuueeeTMd/Kxs2bACgYcOGqeomT57M4cOHWbx4Mffdd1+qHdjOnTtH586duXDhAu+99x4vvviiQ3L5ww8/OCzxe/HFF9mwYQMtWrRg4cKF+Pn977PzP//8kxMnTqSK4cEHH3SIU9KWb5MdY0xV4GXgCPCUZVl/J6+3LOsccC5Fm9JAN+Aa8HyK5ORV4BmgmzHmX0kJjc3Ltq8O5ZZlLTbGLANCgA7A4ix5cpLlrl25wrpRo9j87ruJ/7valKhRg46zZlHO9gdHRESyz4VY8G3k6iicd24L+Dj//j9LhIeHU7hwYYKCgjLVT1xcHHFxcQAMHTqURx99lMmTJ+Pv709UVBT9+/dnzZo19O/fn/nz5zvdv5ubG127dmXy5Mls3ryZwMBAli5dSmxsbLYsYQPYtWsXANWrV3e67RdffMGpU6do165dmpssPPzww/Z/x8TEMGvWLAoXLsxXX33lkOgAlCtXjnLlyqXq47777gNg586dTseXn+TnZWx9gQLAtJSJzk08TuKY/ZAimcGyrKtAuK3Px5PKjTGVgZrAFRKXr6WUNC+Z+Y9Y5I44tmULn9Wvz+YpU+yJTtJszoDt25XoiIhIrhAbG0tkZCRBQUEULlw4U30lJCTY/12uXDnCw8OpXbs2Xl5eBAUFERYWhpubGwsWLOBgstUQzkhKapJ2X5szZw4FCxbk6aefzlTst+vkyZMAGdpkIWkZ34ABA2557Lp160hISKBt27aUL1/+ts/h7u6Ol5cX58+f5/p1LQ5KT35Odlravn5vjKlsjBlpjPnMGPOWMSa9jzvq2r6mt/XH9hTHJf/3Hsuyrt1mG8kBrsfF8f1rrzGjSRPOJLtA0q96dXr/+CNBEyfi7sQN3ERERFxp1apVxMfHZ8kStqJFi9p3IOvevXuqa1pq165NgwYNsCzrtrawTkvdunWpXbs2CxYs4Pjx46xevZo2bdqkmvm4Uy5cuACAl5eX022TbtZapUqVLD02JW9vbyzL4uLFi063zS/y7TI2oJbt60PAFCD5xRbDjTFrgE6WZSV/9VS0fT2WTp/HUhyX0TbpMsbsTafK+d8QSdfxn39mac+enNq373+FxhD48su0GDeOgpn8RExERDKvuFfikrDcprjz752zxLJlyzDG0K5duyzpr1KlSkRHR9t3JUvJ39+frVu32mdIMqJbt24MHz6cPn36cP369WxbwgZQvHhxgEwlEs5sApGRDSMuXLiAMSZD10XlF/ky2THGeAJJH8m/D/wf8ApwmMTk53MgyPb1mWRNi9m+prfs7XKK4zLaRlwkIT6e9ePHs/Gtt7CSTdHfVbUqHWbOpGKTJi6MTkREkjPGdde+5DYJCQmsWLGCBx54gDJlymRJn/Xr1yc6OpqzZ8+mWX/mzBkAihXL+Fucbt26MWLECFauXIm3t7fT9wLKjJIlSwKk+/xupkKFCuzfv5/ffvvNfm3NzY4F+O2335w6x7Vr17h06RK+vr64u+fLt/S3JdcuYzPGLDLG7HfykXRxRYFkXf0JtLcsa7dlWbGWZa0hcbOAG0AX20YG9tPavlqkLa2U/FZtnGJZVq20HsChWzaWmzqxcydfPPggG95883+JjjE8NHQoA3/5RYmOiIjkWps2beLMmTNZmiwk9bVu3bpUdbGxsfYbfgZk4r5z5cuXJzg4GD8/P7p3745nNi4fr1s38QqD/fv3O902aQOIzz///JbHNm/enAIFCrBixQr+/PPP2z5HUlz16tVzOr78JNcmO4A/UN3JRxEAy7Iuk5jMAMyxLCs+eceWZe0m8Z47BngkWVXSBpdF04kp6Y5al5xok1R+KZ16ucMSrl1j/fjxfNGgAX8l29HEp3JlekVG0ua99yiYhTdLExERyW7h4eFA1mw5neSZZ57B39+fVatWMXv2bHv59evXefHFFzl37hz3338/TTL5YWF4eDinT5/mk08+yWzITmnWrBkAW7dudbpt3759KVGiBOHh4Xz88cdYluNn3hs2bLBfE1S2bFl69OjBlStX6NWrV6qZpOPHj9sTx+SS4kqKU9KWa+e8LMvK3G1/4Q+gsu1rWg4DDwIlk5UdsX1Nb6uM8imOy2gbySYn9+5lac+exGzb5lDeYNAgWk2aRKFMTL2LiIjcKREREYwfP96hLD4+nkaN/rcX96hRowgODgYSr9cpX758urMAMTExPPHEE/bv99muWe3bt699GVpwcDCjRo2yH+Ph4cG8efMICgqiV69efPjhh/j7+7N9+3YOHz6Mn58foaGhmb55aUaNHz+eadOmpVlXrVo1vvrqq5u2r1GjBpUrV2bLli3ExcU5Nat01113sWDBAjp06MCQIUN4//33eeCBB/j777/Zu3cv0dHRREdH268L+uCDD9i/fz9r1qzB39+fZs2aUaxYMQ4fPsz27dt5/fXXU82QRUZGAtC2bdvbjis/yrXJThbYQWKyc1c69UlbfSSfcUn62D+9+dik8l1ptLnfGFMwjR3Z0mojd9iNhAQ2T5nCulGjSIj/38Sed4UKdJgxg3syef8BERGRO+nUqVNERUU5lFmW5VB26tQpAA4ePMiBAwcYNGhQuv1dvXo1VX/wvxuHAmlee9KoUSN27NjB2LFjWbNmDbt376ZUqVL069ePN954g4oVb2v/pTvi999/5/fff0+zLukeQTdjjKFv3768/vrrhIeH89RTTzl1/hYtWvDLL7/w9ttvs2rVKpYuXYq3tzdVqlShf//+lC5d2n6sl5cX69at49NPP2Xu3LmsX78ey7IoX748vXv3TnXuK1euEBYWRu3atXnooYeciiu/MSmn1fILY0xPYBawyrKsNinqvEic8fEFmlmWtdFWXobE3dOuAxUsyzqZrI0HcJTEJKmcZVknktXtA2oAT1iWtTTFucJIvKloF8uyFmbi+eytWbNmzeR/lCRtZ/77X5b26sWxzZsdyuv17k3rd9/F0/Ypi4iIuNaNGzc4YNv6v3r16vatjsU5U6ZM4ZVXXuG7776jTZs2t24gdidOnKBy5cq0atWKZcuWuTocu3nz5vHss88yderUmyaxOZWzv9u1atVi3759+2zXqTslP//VmE/iUrXWtsQHAGOMO/ABiYnOHuDHpDrLsmKAeUAhYKrt2CSTgLuB0OSJjs27SccYY+zL4owxT5KY6EQDS5E7yrpxgy0ffMC0evUcEp1iZcrQdflyOkyfrkRHRETynAoVKjBmzBhatGjh6lByndKlSzNkyBCWL19OTvlA2bIs3n77bapUqUKfPn1cHU6Ol2+XsVmWddUY0xVYA8wyxrxAYvITQOLmB2eAZ63UU19DgUZAJ2C/MeZnEu/Zcz+JO6INS+N0M4C2wBO2NmuBEiRufhAHdE/nhqOSRc79/jthvXvzR4obm9Xp3p02H3xA4bvSW80oIiKSu3Xp0sXVIeRqI0eOZPr06YwfP5758+e7OhzCwsLYuXMn33zzTaqbuUpq+TbZAbAsa4sxpj4wmsT76tQG/gK+AN60LCvVpgGWZZ02xjQExgIdSUxg/gI+BkZblpVqM3bLsm4YY54CXgR6A+1IvL/OEuDflmXljI8K8iDLstj22WesfuUVrl2+bC8vWrIkwdOmUSPZxZgiIiIiKfn4+NjvGZQTdOzYMdXubpK+fJ3sAFiWdRBw6na8lmWdA16wPW63TQKJy9nevdWxkjUuHD3Ksj59+P377x3Kaz71FG0/+YSid9/toshEREREJDvk+2RH8h7Lsvhl5kxWDRvG1YsX7eWF77qLtlOncv/TT7swOhERERHJLkp2JE+JPX6c8P79ORgR4VBePSSEdp99RrFk2zyKiIiISN6mZEfyBMuy2B0ayndDhhB37py93KN4cR7/8EPq/OMfLrupmYiIiIi4hpIdyfUunzzJ8oED2b9kiUN5ldatCfnyS7zLl3dRZCIiIiLiSkp2JFfbt2gREYMG8ffp0/ayQsWK8di77xLQt69mc0RERETyMSU7kiv9feYM3w0ezJ4U+937t2hBhxkz8PH3d01gIiIiIpJjKNmRXOdAeDjL+/fn0okT9rKCRYoQNGkSDQcNwri5uTA6EREREckplOxIrhF3/jwrhw5l5+zZDuUVmzalw8yZ3HXvvS6KTERERERyIiU7kiv8tmoVy/r0IfbPP+1lBTw8aDlhAg+9+CJuBQq4MDoRERERyYm03kdytKuxsYT378/cNm0cEp1yDz7IwF9+IfCll5ToiIhIvhQXF8fo0aOpVq0anp6elC1blt69e3Ps2DGn+jl8+DDGGIwxFChQgD+T/X+b0qRJk+zHNm/e3KEuMjIyzXIRV1KyIzlW9Lp1fFq7Ntu/+MJe5lawII9OmEDvH3+kxH33uTA6ERER14mLi6Nly5aMGzeOS5cu0aFDBypUqMDMmTMJCAjg0KFDGer3xo0bzJs3L936OXPmZDRkEZdQsiM5Tvzly6wYMoSvHn2UC3/8YS8vXb8+/bdto9mIEbi5awWmiIjkXxMmTGDTpk0EBgby3//+l2+++YaoqCimTJnCqVOn6N27t9N9+vv74+vrm25Cs3v3bnbv3k1AQEBmwxfJNkp2JEc58uOPfFavHj99/LG9zM3dnUdGj6ZvVBSlatd2YXQiIiKud+3aNT766CMAPvnkE4oVK2ave+mll6hTpw4//PAD27Ztc6pfDw8POnfuzM6dO9m7d2+q+q+//hqA7t27ZyJ6keylZEdyhGtXrrD6lVeY2awZZ3/7zV5e8v776RsVRfMxYyhQsKALIxQREckZNm7cyPnz56lSpQr169dPVd+5c2cAwsPDne47KZFJObuTtLytSpUqBAYGZiBqEddQsiMu9+fWrXweEMDmKVPAsgAwbm40HTGCfj//TBlNl4uIiNjt3LkTIN3lZEnlScc5o1mzZlSsWJHQ0FAs2//JAOvXr+fYsWN069YtAxGLuI4ufBCXuX71KuvHjePHiROxbtywl/tVr07H2bMp/9BDLoxORERyOsuyuHDhqqvDcFrx4h4YYzLc/siRIwCUL18+zfqk8qTjnGGM4dlnn2XixIls2LCBhx9+GPjfTE+3bt04e/ZsRsIWcQklO+ISMTt2sLRnT07u3v2/QmNoNGwYj775JgULF3ZdcCIikitcuHAVX9+3XR2G086dew0fH88Mt7906RIARYoUSbO+aNGiDsc56x//+AcTJ05k7ty5PPzww8TFxbF48WIaNmxItWrV2LJlS8YCF3EBLWOTbJVw7RqRY8fy5YMPOiQ6vlWq0Gv9elpPmaJER0RE5CaSlpelNzuUfPlZRtSsWZN69eqxcOFC4uPjCQ8P58KFC9qYQHIlJTuSbU7u2cP0Ro1YP2YMN65ft5c3/Oc/GbhzJ5WaNXNhdCIiIrmfmi7ZAAAb1UlEQVSDl5cXAJcvX06z/u+//wZw2KXNWd27d+fcuXOsWLGCOXPm4O7uzjPPPJPh/kRcRcvY5I67cf06myZPJnL0aBLi4+3lxStWJGTGDO5p2dKF0YmISG5VvLgH58695uownFa8uEem2lesWBGAY8eOpVmfVJ50XEY8++yz/Otf/+Kjjz5i48aNtGrVipIlS2a4PxFXUbIjd9TpAwdY2rMnf0ZFOZTX79uX1lOm4OHt7aLIREQktzPGZOral9yqbt26AGzfvj3N+qTyOnXqZPgcZcqU4dFHH2XNmjWA7q0juZeWsckdYd24web33uOzevUcEh2vsmV5dsUKQr74QomOiIhIBjRp0oTixYtz6NAhduzYkap+0aJFALRr1y5T53nuuefw8/OjfPnydOzYMVN9ibiKkh3JcmcPHWJW8+asfuklrsfF2cvr9ujBoD17qPr44y6MTkREJHcrVKgQgwcPBmDw4MEO1+68++677Nq1i6ZNm9KwYcNMnefZZ5/l9OnTHD16NN2d30RyOi1jkyxj3bjBz9Om8f2rr3LNdnEkQNFSpWj32Wfc16GDC6MTERHJO9544w3WrFnDpk2bqFq1Ks2aNeOPP/4gKioKPz8/Zs6c6bLYtm/fTqNGjdKt//rrr6latWo2RiT5mZIdyRLn//iDZX36EL12rUN5raefpu3HH1OkRAkXRSYiIpL3eHp6sm7dOt566y1CQ0NZunQpvr6+9OzZk/Hjx1OhQgWXxRYbG0tUimt1k0tvFzmRO8Fkdi92yRmMMXtr1qxZc+/evdl6Xsuy2DF9Oqteeon42Fh7eWE/P4I//ZRaTz2VrfGIiEjecePGDQ4cOABA9erVcXPT6nuRvMDZ3+1atWqxb9++fZZl1XL2XJrZkUxJuHqVTe+845Do3NexI8HTplGsVCkXRiYiIiIi+Z0+IpFMcff0pMOsWRg3Nzx9fHji66/p8u23SnRERERExOU0syOZViEwkA4zZ1K5ZUu8y5VzdTgiIiIiIoCSHckidXv0cHUIIiIiIiIOtIxNRERERETyJCU7IiIiIiKSJynZERERkRzJGGP/t26VIZJ3JP99Tv57fico2REREZEcyRhDgQIFALh69aqLoxGRrJL0+1ygQAElOyIiIpJ/FSlSBIDYZPdzE5HcLen3uWjRonf8XNqNTURERHIsb29vYmNjOXv2LO7u7nh7e9tne0Qkd0lISODixYucPXsWAC8vrzt+TiU7IiIikmN5eXlRvHhxLly4wMmTJzl58qSrQxKRLODj46NkR0RERPI3YwylS5emcOHCnDt3TtfuiORyHh4e+Pr6Urx48Tt+vQ4o2REREZEczs3NDV9fX3x9fbEsSzuzieRSxphsSXCSU7IjIiIiuYYr3iyJSO6l3dhERERERCRPUrIjIiIiIiJ5kpIdERERERHJk5TsiIiIiIhInqRkR0RERERE8iQlOyIiIiIikicZ7VWfNxhjLnp4eHhVqVLF1aGIiIiIiGSZQ4cOcfXq1VjLsrydbatkJ48wxpwAigBHXRRCUpZ1yEXnz0801tlD45x9NNbZQ+OcfTTW2UdjnT1cPc4VgL8tyyrtbEMlO5IljDF7ASzLquXqWPI6jXX20DhnH4119tA4Zx+NdfbRWGeP3DzOumZHRERERETyJCU7IiIiIiKSJynZERERERGRPEnJjoiIiIiI5ElKdkREREREJE/SbmwiIiIiIpInaWZHRERERETyJCU7IiIiIiKSJynZERERERGRPEnJjoiIiIiI5ElKdkREREREJE9SsiMiIiIiInmSkh0REREREcmTlOyIiIiIiEiepGRHADDGvGSM+dYYc9AYc8EYc9UY84cxZrYxptZN2vUwxmw1xlwyxpw1xqwwxjS+xbka2447a2u31RjTM+ufVc5njLnLGHPSGGMZY/bf4liNtROMMZG2cU3v0SaddhrnDDDGlDbGvGeM+a8x5optLLYZYyalc3w7Y8x629+bi7Z/t7vFOWoYYxYaY07ZzrHbGDPMGJPn/y8zxjS/xes56fHvNNrqNe0kY0wjY8xiY8wJY8w12zisNcZ0Tud4N2PMUNtr8ortNbrQGFPzFudx+vcgr7GNdZgx5rQxJs72N+RNY0yRm7TRazoNxpgHjDHDTeL7uT9tfxPibqNdtoynMaa8MWaGMeZ4sp/1OGOMp7PP1SmWZemhB8Bp4AoQBXxrexwALOAq8Hgabd611f8NLAVWAteA68AT6ZznCVv9DSASWAScs/XzrqvHwQXjPss2Fhaw/ybHaaydH9tI23NdZBvnlI/aGucsG+vAZM95L/ANsAI4DFxP4/gXbMdeA76zjfXftrIX0jlHI+Cy7Zgo2zlikv2MjavH4Q6P8X3pvI5nAV/bxsECWqRop9e082P9FJBge74/AfOBH5KVTUxxvAEW2urO2cYr0jZ+fwMPpXMep38P8toD6GZ7rVnAzyS+9zhi+/4XwCuNNnpNpz+eS5P9LUh6xN2iTbaMJ1AFOGk7ZjeJf8MP2b7fBHjcsXFx9Q9Gj5zxAJoAnmmUD7K9EP8ECiQrf9RWfhqomqw8kMTk6Dzgm6IvX1u5BTyZrLwUcJA0/qPOyw+gpe05f8ZNkh2NdYbHN9L2PP1v83iNc8bGuaztP7m/0/qPEXgwxffVbP+RxgGBKcpP2+qqpmjjDvxmG89hycqL2f6TtIDnXD0WLvwZPG4bgyOAW7JyvaadH0t3/veG7OkUdYEkfih4A6iSrLy37fj/AqWSlXeylf8GuKfoy+nfg7z2AMrbxtPh9xfwABbYyj9N0Uav6ZuP6WvAWKCd7fndNNnJzvEE1tvqPkhW5k5igmsBY+/YuLj6B6NHzn8ke/HWTFYWYSsbmsbxH9jqXk5R/qqtfGkabZ6w1YW7+vlm05gWto3rXqAqN092NNYZG+NInEt2NM4ZG+evbM9z8G0e/4nt+PfTqBtmq/soRflTtvJf0mhT31a329Vj4cKfwVzbGLyVolyvaefH8n7bc/w1nfqkT867JCvbayvrmMbxYba6TinKnf49yGsP4A3b81ydRt3dJM7kxgN+ycr1mnZujG+V7GTLeAINbeV/kWIGh8QkKR44CxS8E+OQ59c5S5ZIsH2NB7CtrWxpK1uUxvFJZe1TlLdLUZ9cBImfcAXd8bWbOcNoEqd0B5H4CV6aNNbZQ+OcMcYYX6ALcAH48jab3WzMFv5/e/ceNEdVp3H8+5BwM2AAAXXXSFAQWd0AASRcgyUIK/GycltTy8Xi4soKlKK7VYAuCOjiugUoYGlcARcwXMQgoigoYIBFkEs0qAhCNigghFtIFgwkv/3jnOHt9Ns978y8k3egeT5VXSc5l+7Tv+mZd8509+mcdhzniLgLeAB4p6TJHfahMSRNAD6Y/3thId/HdG/+0mG9JwEkbQr8DekMxdUV9XqJc937oGm2zekN5YKIeBz4DbA68D7wMd1vYxzPVpurImKl91hE/BmYSzpjtHNnve+OBzvWlqSDgS1Ip+cfyNlvJ51mfjwi/ljR7M6cTinlTymVvyQilgHzgbXy9hpL0hTgOOC8iPj5CNUd69E7TNK5ks6WdIykN1fUcZx7szMpbjcBL0jaT9KZks6RdLSk1xcrS1oPaMX/rvLKcuwXAZtImlgo2iqnw+Jcyt+qprzJPgxMAO6KiHsK+T6me/NAXt4u6YBigaQdgb2AB0n38MDQMTc/Iqp+uBp2bI7ifdA0E3L6VE35kzltxc7HdH+NZTwH+hnuwY6tRNJnJJ2fZ5GZD1wAPAzMjIgVuVrrQ7rqzUFELCVf5ylp3bze1wLrtWtXyK/6MtoISrNGzSLF5186aOJYj96JpDNo/0w6LX+/pM+W6jjOvWnN1Nj6Ze4y4FjgKOArwB8k7V+o34rDUzmmVapi1vb1qWnzavGPOf3vUr6P6R5ExHLgUNLZyksk3S5ptqQbSYP6u4H35i910Nux2ev7oGkez+kmNeWt/Mk59THdX2MZz4F+hnuwY2V7AYcA+5G+yDxEGujcUaizTk7/r816Wh/g65TSdu3KbZroaOBdwGci4okO6jvWvfs5cBDpcsHXkH5lOoE0g8znJR1bqOs492b9nB5M+rXvMNK19puSZviZAFyYz2ZCb3HupF3T41xJ0htIl6EsB75TKvYx3aOImAtMJ53B2Q44ENiNtO/XkX4AbOnl2Oz1fdA0N+b0I5LWKBZImsbQmYF1c+pjur/GMp4D/Qz3YMdWEhF7RIRIX2J2I00/fYOkEwrV1KreZlUa4f+dtGkUSZOAU4EbI+L8Tpvl1LHuUkR8LiIujIgHIuK5iPh9RHwB+FCucrKktfO/HefejMvpeOBTEfGtiFgUEQsi4jjSNd1rMHQWs5c4F9W1a3qc68wkvQbXRsSjpTIf0z2S9BHS9OYLgR1IX8DeRhpQnghcJ2n1VvWctovzsE100KbxcSZNrLGQ9Gv+lZLeIWldpWegXUb6YQrS7HfgY7rfxjKeI21rlb4GHuxYpYh4Ov+69T7gDuAUSdvn4mdzOqGycdJ6GNiSUpti2UhtmuZc0he/j3fRxrHus4j4Cel5DhNJz24Bx7lXrRisIF3yWvatnO5eqt9NnIv/rmvX9DjXqbuEDXxM90TS5qRj+XFgn4i4LSKWRsR9EfEx4CrStLwfzU1GinMrvxivXt8HjZIvk5pBGvDsTbrXYzHpmUMrSGeHYeieHh/T/TWW8RxpW6v0NfBgx9rKN1xeQhp1t2bkWJjTN1W1ybMDrQc8HRHP5vUsJl0DXduukL+wpvyVbgbpFO7XJN3QWkgPrAN4cyG/dSrXsV417svpG3PqOPdmQU4fLc+wUyrfOKetOKyfY1qlKmZtX5+aNo0maUvStNtLSNMhl/mY7s0/kGYAu6bmfppLc7p7Tns5Nnt9HzRORPyadKP8IcBXga8B/0SaArylNfGGj+n+Gst4DvQz3IMd68SinG6U03tJ03NuJKnqwJ2a01+V8ueVyl+SLwl4Z17vvaPq7cvbeqRrwYvLDrls7ULe+JznWK8arXtNWr8iOc69ac0ktb6kqssQXpfTJZDOGDP0x2ybcuUc+w2BhRHxTKGoNs6l/PLr02QH5fSKiKi6Dt7HdG9asVpcU97K3yCnrXi9s3BpW9GwOI/ifdBI+TLjb0fEMRFxVER8PX+53iNXuSGnPqb7ayzjOdDPcA92rBPTc/oHSB9MwM9y3n4V9Vt5PyjlX10qL5pBmqrwpxHxfO9dffmKCFUtpJu5Ae4t5D+d2zjWfSZpI2DX/N87wXHuVf5V9kHSQH2Hiiq757Q43Wi7mLVmbus4zpK2Ad4C/CYiHhy51698eWA5M/+36hI2H9O9a937tF1Neety7gUA+Zj7Lek9sE9F/V7iXPc+eNWQNJ30BfieiLgZfEz32xjHs9Xm/ZLWLDbIjyjYlXTG6KbOet+lfj2d1Msrd8kH2YHA+FL+6qTZw5aTLr+aVCjbg3Sj2SJg80L+jqQHSj0DbFBa3wY5P4APF/I3Jl1WFMB7Bh2PAcR/ct7339WUO9bdx3Qa8G5AFbG+Ke//lY5zX2L9sbyftwEbFvK3JV1rH8B+hfwtSDcePw9MK+RvnmP/IrBFaRurk559EsAnC/kTgFty/mGDjsUYxny3vM9/AlZrU8/HdPexnZr3MYCPl8qmkc5SBrBHIf/wnPd7YONC/odz/gOUngzfy/ugiQuwNcO/e0zNx/YK4N2lMh/T3cU3gOfblI9ZPBn623tmIW888N2cf8oqi8OgXwgvg19IzxQI0g2Z15BmSPkxaXrNID0Z+oCKdmfm8qWka8Z/CLxAGhztW7OtfXP5CuB60owrrS9EZw06FgOK/2TaDHYc655i2jqmHyZdAjE7f9A+l/PnU/hS4jiPKtarke5jCOAJ0g3c15MuYwjgGxVtPpnLXsgxnkP6QWWlwUypzU6FOreS7iVsfUZ9jzZf+pu2AN/I+/2lDur6mO4+vv/B0IBnfj6+b8oxCeDrpfqrAVfksidzvK7P8XsO2KlmO12/D5q25M/nx4CfABeTfrxYnmNyRE0bH9P18dwnfz62lsj7XMzbZxDxZGggH6TL1WaTrhhqfaavtcriMugXxsvgF9JlVKflD/OHgWWkX6/mkx4MuFmbtoeSZrZqPXzqGmCXEba3M2m2ladyu18CHx10HAYY/8mMMNhxrLuO6Zak2e/uyH9IX8gx+x/gU8DajnNf470a6UGid+b9XwLcDBzUps37Sc9CejYvc4EPjLCdd5Cms15E+tXxHuA4YNygYzCGsV6T9IU6gCkdtvEx3X2c/570o9+i/PnxJOmSn5k19cflz5b5pAHOItIv1u8YYTtdvw+atJDOit2QP6eXkc7oXARsPUI7H9P1cYkRlkMHFU9gEnAe8AjpB7H7gVNo8ze5H4vyxs3MzMzMzBrFExSYmZmZmVkjebBjZmZmZmaN5MGOmZmZmZk1kgc7ZmZmZmbWSB7smJmZmZlZI3mwY2ZmZmZmjeTBjpmZmZmZNZIHO2ZmZmZm1kge7JiZmZmZWSN5sGNmZmZmZo3kwY6ZmZmZmTWSBztmZg0nKbpcFgy6z/byI+n1kp6VNKuU/4l83Jxd025rSYtyndNz3jhJ90q6dSz6bmavXuMH3QEzM1vlLqjI2wV4KzAPuLtUtmiV9+hVQtIiYK2IWGfQfemDk4C1gC902kDSNsB1wAbAFyPieICIWC7pVODbkg6IiEtXQX/NzDzYMTNruog4tJwn6XzSYGdORJw0xl2yVxhJmwKHA7Mj4sEO20wlDXTWB06NiM+WqlwMnAqcJumyiIh+9tnMDHwZm5mZmY3sSNIPpN/upLKkbRka6Hy+YqBDRCwHvgNsBuzZv66amQ3xYMfMzNqSNFXSJZIekbRM0h8lfUPSmyrqfjnfm7GfpB0lXSvpmXzPxkWSXp/rTZR0pqSHJD0v6W5JMyrWN6N1P4ikSXkdj0l6TtLtkg5s0+83SjpL0v15G09IukrSDh1s5wJJD0taLunwXGeSpOMlzc1ly3JMLpW0VdX6gNcBE0r3RM0v1FskaUlN/1/qUyn/8py/naQPSPp5jnFIGl+o1/H+t5PXeSjwKPDTDupvx9BA53MR8W9tql+c0yO66ZOZWac82DEzs1qSDgJ+AewPLATmAE+SvpzeLmmzmqa7AzcCGwPXAouBmcBPJE0E5gIfAe4CbgO2AuZI2qVmfW/I9aYDPwNuAbYBZkv6dEW/tyLdi3QMsBy4GvgNsDdwk6QP1Wznr4FfAu/JfbwGeD6XHQiclvdpXo7FYzk2t0ratbCeh0j3Sv0FeDH/u7XMqdl2t44ArgRWJ+3fXUDAqPa/yrak+M+NiBXtKkranvR6rwecEBGntKsfEb8iHU97SRrXRZ/MzDoTEV68ePHi5VW2AOeTvhif1KbOlqQv+o8D00plR+X215fyv5zzAzi8kL8WcFPOvwf4EbBuofzYXHZ1aX0zCuu7knSzf6tsV+A5YBmwRSF/DeA+YEWxD7lsGmng9RQwsWY7FwJrVMRjKrBlRf6HSAOaeRVli4AlbWJcW17o09ml/Mtz/nLg/RXtut7/EY6VT+ftfaam/BO5fC7wdP73v3ZxLF6T22w76PeFFy9emrf4zI6ZmdU5DlgTODYiVpoiOCLOJV2qtLukt1W0/WFEfLNQ/3ngnPzfzYAjIuLZQv2vAUuB3SSpYn0vAkfn9bTWORf4L9KZjSMLdQ/I2/hmsQ+5za3A6aQzD1WXwC3N+7usXBARd0bEbyvy5wA/AKbkG/nHymURcVVF/mj2v8qUnN47Qr1dgImkAfDpHa4b4Hc53aptLTOzHniwY2ZmdfYknT2o+kIN6UwNwPYVZddW5D2Q099GxB+LBXlw8RCwTl7KbomIhRX538lp8fK31s3udZeLtev3LRHxRE07JK0taV9JX5Q0S9L5eWa7zXOVzevargLfr8kfzf5X2TinT41Q7w7SZXvvljRsQoI2nszpRl20MTPriKeeNjOzYfL9E5MAAYurT7a8ZMOKvD9V5C1tU1YsXxN4tlT2vzVtFuT0rwp5k3N6dQ/9rhpQAS/deP89YNjEDAXrtttgn9X1dXJOe9n/KhNzWn5Nym4FTgauAD4vaXFEnNXB+heXtmNm1jce7JiZWRXlZRlDZ0/qVF3e1O6ZKf18nkrVt/nWje7fp/3ZiPLDVGFoMoKVN5IGf5eTBjpnAt8CHgSWRkRI+gpwdE1/ejXS1ReVfWV0+1/lmZy+dqSKEXFVntTiIuCMPOA5b4RmrUHOM21rmZn1wIMdMzMbJiJelPRn0tTJR1bdwzLGNqnJf3NOHy7ktS6ROysiftan7U/NfbgxIj5ZUf6WHte7DFhP0rhIz50pmtTjOvu9/4/ldINOKkfEbEnrALOAWZKWRMRlbZqsn9PHR9FHM7NKvmfHzMzqXEf6UWzY828GYKeq5/qQpq8GuLmQd11Ou5leeSStL+QPlQvys4Om17RbRvsfFh8hnYl5a0XZe7vpYEG/939eTt/eaYM8McKnSPt2kaT3tam+ZU47PdNkZtYxD3bMzKzOl4AXgHMlDfviLWkjScdIGou/JeOBr0pas7D9nYHDSDO1zSrUvZB0L89RuX8rDTYkrSXpAElbdLH93+d0b0kvnWWSNCFvu2pSBUhnnNYstim5MacnFOMo6UjgA130r6jf+z83p+/qphMRcQZwEmm2vMslDRsQ5pn3tifdDzSvXG5mNloe7JiZWaVID3z8KOmsxo8l3SPpCknfl3Q3aaKBsxibvyXfBXYE7pc0W9K1pIHC2sCJxSmh8/TUHyRdfnUWsEDSjyRdJukXwJ+BS+jiMrGIWEC6d2lD4J4cg8tJ9+1sB1xc07Q1Y9rNki6W9E1JJxfKzyDdq3Iw8Ovcx/mkabo7ubm/qq/93v87gUeBXcsDpw76cjLwn6TX6SpJ5QHTFPLxVXEZn5nZqHmwY2ZmtSLiImAb0vNsXgPsQ3qY53jgAmDviHhxDLryKLAD6XK19+Q+zANmVj3TJQ/UpgCnkaY23g34O9J9Jz8FDgJu6bIPhwDHky5l2xPYCbiaNNh5pKbNv5POkC0D9iedidq30M+Hct9+TLr/aG/SYGQ6Q5ejda2f+59f3/NIA709R6he1f7TwNdJM9X9SNLfFopn5nTWsIZmZn2giH5OimNmZtY/kmaQnvNzTkR8YtD9ebWSNBm4j/Qg05nta3e8znGkZy8tA94W/kJiZquAz+yYmZlZW/kyvlnA/pJ6nXmubCbpbNYJHuiY2ariwY6ZmZl14iTSs32OH+2K8lmdE4HbIuLS0a7PzKyOn7NjZmZmI4qIx0j33fRjXcuBbmbDMzPrie/ZMTMzMzOzRvJlbGZmZmZm1kge7JiZmZmZWSN5sGNmZmZmZo3kwY6ZmZmZmTWSBztmZmZmZtZIHuyYmZmZmVkjebBjZmZmZmaN5MGOmZmZmZk1kgc7ZmZmZmbWSB7smJmZmZlZI3mwY2ZmZmZmjeTBjpmZmZmZNZIHO2ZmZmZm1kj/D72wXPWyxU2BAAAAAElFTkSuQmCC\n",
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