{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gradient Guided\n", "\n", "This uses a problem from radio interferometry of inferring ionospheric parameters from phase data. We'll show the impact of turning on gradient guided sampling.\n" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T22:36:53.533478Z", "iopub.status.busy": "2024-09-23T22:36:53.532777Z", "iopub.status.idle": "2024-09-23T22:36:54.814731Z", "shell.execute_reply": "2024-09-23T22:36:54.814167Z" }, "pycharm": { "is_executing": true }, "ExecuteTime": { "end_time": "2024-11-09T15:28:49.285070Z", "start_time": "2024-11-09T15:28:47.693471Z" } }, "source": [ "\n", "\n", "import jax\n", "import pylab as plt\n", "import tensorflow_probability.substrates.jax as tfp\n", "from jax import random, numpy as jnp\n", "\n", "from jaxns import NestedSampler\n", "from jaxns import bruteforce_evidence\n", "\n", "tfpd = tfp.distributions\n" ], "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/albert/git/jaxns/src/jaxns/internals/mixed_precision.py:14: UserWarning: JAX x64 is not enabled. Setting it now. Check for errors.\n", " warnings.warn(\"JAX x64 is not enabled. Setting it now. Check for errors.\")\n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'cuda': \n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'rocm': module 'jaxlib.xla_extension' has no attribute 'GpuAllocatorConfig'\n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'tpu': INTERNAL: Failed to open libtpu.so: libtpu.so: cannot open shared object file: No such file or directory\n", "WARNING:jax._src.xla_bridge:An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" ] } ], "execution_count": 1 }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T22:36:54.817250Z", "iopub.status.busy": "2024-09-23T22:36:54.816667Z", "iopub.status.idle": "2024-09-23T22:36:54.822180Z", "shell.execute_reply": "2024-09-23T22:36:54.821123Z" }, "ExecuteTime": { "end_time": "2024-11-09T15:28:49.292778Z", "start_time": "2024-11-09T15:28:49.288551Z" } }, "source": [ "\n", "TEC_CONV = -8.4479745 #rad*MHz/mTECU\n", "CLOCK_CONV = (2e-3 * jnp.pi) #rad/MHz/ns\n", "\n", "\n", "def wrap(phi):\n", " return (phi + jnp.pi) % (2 * jnp.pi) - jnp.pi\n", "\n", "\n", "def generate_data(key, uncert):\n", " \"\"\"\n", " Generate gain data where the phase have a clock const and tec component. This is a model of the impact of the ionosphere on the propagation of radio waves, part of radio interferometry:\n", "\n", " phase[:] = tec * (tec_conv / freqs[:]) + clock * (clock_conv * freqs[:]) + const\n", "\n", " then the gains are:\n", "\n", " gains[:] ~ Normal[{cos(phase[:]), sin(phase[:])}, uncert^2 * I]\n", "\n", " phase_obs[:] = ArcTan[gains.imag, gains.real]\n", "\n", " Args:\n", " key:\n", " uncert: uncertainty of the gains\n", "\n", " Returns:\n", " phase_obs, freqs\n", " \"\"\"\n", " freqs = jnp.linspace(121, 166, 24) #MHz\n", " tec = 90. #mTECU\n", " const = 2. #rad\n", " clock = 0.5 #ns\n", " phase = wrap(tec * (TEC_CONV / freqs) + clock * (CLOCK_CONV * freqs) + const)\n", " Y = jnp.concatenate([jnp.cos(phase), jnp.sin(phase)], axis=-1)\n", " Y_obs = Y + uncert * random.normal(key, shape=Y.shape)\n", " phase_obs = jnp.arctan2(Y_obs[..., freqs.size:], Y_obs[..., :freqs.size])\n", " return phase, phase_obs, freqs\n" ], "outputs": [], "execution_count": 2 }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T22:36:54.824732Z", "iopub.status.busy": "2024-09-23T22:36:54.824265Z", "iopub.status.idle": "2024-09-23T22:36:55.536048Z", "shell.execute_reply": "2024-09-23T22:36:55.535452Z" }, "ExecuteTime": { "end_time": "2024-11-09T15:28:50.146837Z", "start_time": "2024-11-09T15:28:49.440871Z" } }, "source": [ "# Generate data\n", "key = random.PRNGKey(43)\n", "key, data_key = random.split(key)\n", "phase_underlying, phase_obs, freqs = generate_data(data_key, 0.25)\n", "plt.scatter(freqs, phase_obs, label='data')\n", "plt.plot(freqs, phase_underlying, label='Underlying phase')\n", "plt.legend()\n", "plt.show()\n", "# Note: the phase wrapping makes this a difficult problem to solve. As we'll see, the posterior is rather complicated." ], "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 3 }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T22:36:55.537954Z", "iopub.status.busy": "2024-09-23T22:36:55.537763Z", "iopub.status.idle": "2024-09-23T22:37:04.591007Z", "shell.execute_reply": "2024-09-23T22:37:04.590573Z" }, "ExecuteTime": { "end_time": "2024-11-09T15:29:00.021931Z", "start_time": "2024-11-09T15:28:50.156268Z" } }, "source": [ "\n", "from jaxns import Prior, Model\n", "\n", "\n", "def log_normal(x, mean, scale):\n", " return tfpd.Normal(loc=mean, scale=scale).log_prob(x)\n", "\n", "\n", "def log_likelihood(dtec, const, clock, uncert):\n", " phase = dtec * (TEC_CONV / freqs) + const + clock * (CLOCK_CONV * freqs)\n", " logL = log_normal(wrap(wrap(phase) - wrap(phase_obs)), 0., uncert)\n", " return jnp.sum(logL)\n", "\n", "\n", "def prior_model():\n", " tec = yield Prior(tfpd.Uniform(-300, 300.), name='dtec')\n", " const = yield Prior(tfpd.Uniform(-jnp.pi, jnp.pi), name='const')\n", " clock = yield Prior(tfpd.Uniform(-2., 2.), name='clock')\n", " uncert = yield Prior(tfpd.HalfNormal(0.25), name='uncert')\n", "\n", " return tec, const, clock, uncert\n", "\n", "\n", "model = Model(prior_model=prior_model, log_likelihood=log_likelihood)\n", "\n", "model.sanity_check(random.PRNGKey(0), S=100)\n", "\n", "log_Z_true = bruteforce_evidence(model=model, S=80)\n", "print(f\"Approx. log(Z)={log_Z_true}\") # Unsure if this grid is sufficient to get a good estimate of the evidence." ], "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:jaxns:Sanity check...\n", "INFO:jaxns:Sanity check passed\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Approx. log(Z)=-8.74251800745667\n" ] } ], "execution_count": 4 }, { "metadata": { "ExecuteTime": { "end_time": "2024-11-09T15:29:08.717111Z", "start_time": "2024-11-09T15:29:00.116617Z" } }, "cell_type": "code", "source": [ "\n", "# Create the nested sampler class. In this case without any tuning.\n", "ns = NestedSampler(model=model, gradient_guided=True)\n", "termination_reason, state = jax.jit(ns)(random.PRNGKey(432345987))\n", "results = ns.to_results(termination_reason=termination_reason, state=state)\n", "ns.summary(results)\n", "ns.plot_diagnostics(results)\n", "ns.plot_cornerplot(results)" ], "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/albert/git/jaxns/src/jaxns/samplers/uni_slice_sampler.py:331: UserWarning: Gradient guided slice sampler is experimental and will likely change.\n", " warnings.warn(\"Gradient guided slice sampler is experimental and will likely change.\")\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "--------\n", "Termination Conditions:\n", "Small remaining evidence\n", "--------\n", "likelihood evals: 273883\n", "samples: 1860\n", "phantom samples: 0\n", "likelihood evals / sample: 147.2\n", "phantom fraction (%): 0.0%\n", "--------\n", "logZ=-9.2 +- 0.3\n", "max(logL)=0.33\n", "H=-7.85\n", "ESS=184\n", "--------\n", "clock: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "clock: -0.2 +- 1.1 | -1.6 / -0.3 / 1.6 | -1.8 | -1.8\n", "--------\n", "const: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "const: -0.2 +- 1.8 | -2.3 / -1.0 / 2.5 | -1.0 | -1.0\n", "--------\n", "dtec: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "dtec: 85.0 +- 20.0 | 56.0 / 88.0 / 108.0 | 109.0 | 109.0\n", "--------\n", "uncert: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "uncert: 0.266 +- 0.039 | 0.22 / 0.261 / 0.322 | 0.234 | 0.234\n", "--------\n" ] }, { "data": { "text/plain": [ "
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" 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RiIiIbItArVarzZfiExERERHVPBwwSkRERERkYky6iYiIiIhMjEk3EREREZGJMekmIiIiIjIxJt1ERERERCbGpJuIiIiIyMSYdBMRERERmRiTbiIiIiIiE2PSTdWav7+/zvLsRERERJbApNuEVq1aBYFAAIFAgCNHjpT6Xq1Ww9fXFwKBAK+99lqZx1iyZAkEAgFCQ0MrPYdAIIBYLEZQUBBiYmKQlZVl1Osplpubi7i4OISHh8Pd3R0CgQCrVq0y6BiXL1/GwIED0bBhQzg5OaFJkyaYNm0aZDKZts358+fRv39/PPPMM3BycoKnpyc6deqEHTt2GPmKqn6vivc7efKk0WMqz9P2vz59D5i3/4mIiKo7O0sHUBOIxWIkJSWhQ4cOOvWHDh3C9evX4ejoWO6+iYmJ8Pf3R0pKCv755x8EBgaW2W7atGkICAhAQUEBjhw5goSEBOzatQvnzp2Dk5OTUa9HKpVi2rRp8PPzQ4sWLXDw4EGD9s/IyEBISAjc3NwQExMDd3d3JCcnIy4uDqdOncK2bdsAANeuXcPDhw8xdOhQ+Pj4QCaT4YcffkDv3r3x7bffYtSoUUa9LuDp7pW5PE3/69v3gGX6n4iIqNpSk8msXLlSDUDdr18/taenp1qhUOh8P3LkSHWbNm3UjRo1Uvfs2bPU/v/++68agHrLli3qunXrquPj48s9x4kTJ3Tqx48frwagTkpKMu5FqdXqgoICdWZmplqtVqtPnDihBqBeuXKl3vvPnDlTDUB97tw5nfohQ4aoAajv3btX7r5FRUXqFi1aqBs3bqzXuRo1aqSOi4urtF1V71V5/W9KT9P/T9P3arXh/U9EREQaHF5iBoMGDcLdu3exd+9ebV1hYSE2b96MwYMHl7tfYmIi6tSpg549eyIyMhKJiYl6n/Pll18GAFy9erXqgZfD0dERXl5eVd4/JycHAFC/fn2dem9vbwiFQjg4OJS7r0gkgq+vL7Kzs6t8/opU9V6Z09P0/9P0PWD6/iciIqqumHSbgb+/P9q1a4f169dr63bv3o0HDx5g4MCB5e6XmJiIfv36wcHBAYMGDcLly5dx4sQJvc555coVAICHh8fTBW8CXbp0AQAMHz4cZ8+eRUZGBjZu3IiEhASMHTsWzs7OOu3z8vIglUpx5coVzJ8/H7t378Yrr7xiktiqeq9shaF9D5i3/4mIiKorjuk2k8GDByM2Nhb5+fmQSCRITExE586d4ePjU2b7U6dO4cKFC/jmm28AAB06dEDDhg2RmJiIF198sVT7Bw8eQCqVoqCgAL///jumTZsGiURS7gualhQeHo7p06dj1qxZ2L59u7b+k08+wYwZM0q1/+ijj/Dtt98CAIRCIfr164dFixaZLD5D75UtMbTvAfP3PxERUXXEpNtM3nzzTYwbNw47d+5EeHg4du7cia+//rrc9omJiahfvz66du0KABAIBBgwYADWrVuHr776CiKRSKd9WFiYzudGjRohMTERDRo0qDAulUqFwsJCva7B0dERAoFAr7aV8ff3R6dOnfDGG2/Aw8MDP/30E2bNmgUvLy/ExMTotB03bhwiIyNx8+ZNfP/991AqlXrHXBWG3quqsoW+B8zf/0RERNURk24zqVu3LsLCwpCUlASZTAalUonIyMgy2yqVSmzYsAFdu3bVGZMdGhqKr776Cvv370f37t119lm8eDGCgoJgZ2eH+vXro3HjxhAKKx89dPjwYW1iX5nU1FQ0adJEr7YV2bBhA0aNGoVLly6hYcOGAIB+/fpBpVLh448/xqBBg3SGxTRp0kR73iFDhqB79+7o1asXjh8/brREtCRD7tXTsIW+B8zf/0RERNURk24zGjx4MEaOHIlbt24hIiICtWvXLrPdr7/+iszMTGzYsAEbNmwo9X1iYmKppDskJARt27Y1OKYmTZpg5cqVerX19vY2+PhlWbJkCVq1aqVN+or17t0bq1atwpkzZ0o9uS8pMjISo0ePxqVLl9C4cWOjxPQkfe/V07DFvgfM0/9ERETVDZNuM3r99dcxevRoHDt2DBs3biy3XWJiIurVq4fFixeX+m7Lli348ccfsXTpUkgkkqeOycvLC9HR0U99HENkZWWhTp06peoVCgUAoKioqML98/PzAWjGsZuKvvfqadhi3wPm6X8iIqLqhkm3Gbm4uCAhIQFpaWno1atXmW3y8/OxZcsW9O/fv8whDT4+Pli/fj22b9+OAQMGmDrkpyaTyZCeng5PT094enoCAIKCgvDLL7/g0qVLCAoK0rZdv349hEIhmjdvDgC4ffs26tWrp3M8hUKBNWvWQCKRoGnTpiaLW597ZQue7H99+x6wbP8TERFVN0y6zWzo0KEVfr99+3Y8fPgQvXv3LvP7l156CXXr1kViYqJFk+5FixYhOzsbN2/eBADs2LED169fBwCMGTMGbm5uAICUlBR07doVcXFxiI+PBwBMnDgRu3fvRseOHRETEwMPDw/s3LkTu3fvxogRI7SzhIwePRo5OTno1KkTGjRogFu3biExMREXLlzAV199BRcXF5NeY2X3qqTvvvsOe/bsKVX/wQcfoFatWsYMC0DV+1/fvgcs3/9ERETVCZNuK5OYmAixWIxu3bqV+b1QKETPnj2RmJiIu3fvmjm6x+bOnYtr165pP2/ZsgVbtmwBAERFRWmTvrJ06tQJR48eRXx8PJYsWYK7d+8iICAAM2fOxKRJk7TtBgwYgBUrViAhIQF3795FrVq10KZNG3zxxRfl/lBiKQkJCWXWR0dHmyTprmr/69v3gG31PxERkbUTqNVqtaWDIDIVf39/REdHa5+yExEREVkCV6QkIiIiIjIxJt1ERERERCbGpJuIiIiIyMQ4ppuIiIiIyMT4pJuIiIiIyMSYdBMRERERmRjn6bZCKpUKN2/eRK1atSAQCCwdDlVjarUaDx8+hI+PD4RC/gxORERkKky6rdDNmzfh6+tr6TCoBsnIyEDDhg0tHQYREVG1xaTbChWvYJiRkQGRUg5n/0AAQF7aP3CuU9eSoVE1k5OTA19fX5OsmklERESPMem2QsVDSlxdXSFSFsD5Ub3ItRacXV2NezKVCrhyRVN+9lnAmocYKJXAb79pyh07AiKRZeOpiC31K8BhTERERCbGpLumy88HgoI05dxcwNm54vaWVFAAdO2qKVt7rLbUr0RERGRyTLoJcHOzdATVE/uViIiIHmHSXdM5OwPZ2ZaOovphvxIREVEJTLqp2ktPT4dUKtW7vaenJ/z8/EwYEREREdU0TLqpWktPT0dwcDBkMpne+zg5OSE1NZWJNxERERkNk+6aTi4HRo/WlL/9FnB0tGw8RiaVSiGTybBu3ToEBwdX2j41NRVRUVGQSqVPl3RX834lIiIiwzDprumKioDVqzXlxYurbXIYHByM1q1bm++ENaRfiYiISD9Mums6e3vgyy8fl60ZYyUiIiIbxaS7pnNwACZOtHQU+mGsREREZKOse5k8IiIiIqJqgE+6azqVCsjM1JS9va17uXKlEjh9WlNu3dr6l4G3lX4lIiIik2PSXdPl5wMNG2rK1r5ceUEBEBKiKVt7rLbUr0RERGRyTLoJsOMfA5NgvxIREdEjzApqOmdnQKGwdBTVD/uViIiISuBAUyIiIiIiE2PSTURERERkYky6azq5HHj/fc0ml1s6muqD/UpEREQlMOmu6YqKgCVLNFtRkaWjqT7Yr0RERFQCX6Ss6eztgbi4x2VrxliJiIjIRjHprukcHID4eEtHoR/GSkRERDaKw0uIiIiIiEyMT7prOrUaePBAU3ZzAwQCy8ZTEZUKSE3VlIODrXtpdVvqVyIiIjI5Jt01nUwG1KmjKVv7cuX5+UCzZpqytcdqS/1KREREJmfFjwqJiIiIiKoHPumu6ZycgMJCTdmOfxyMhv1KREREJTAbqKHS09MhlUr1bu/p6Qk/Pz8TRlTNCAScKpCIiIi0mHTXQOnp6QgODoZMJtN7HycnJ6SmpjLxJiIiIqoCJt01kFQqhUwmw7p169A0MBA+ixcDAG6+/z7UZTydTU1NRVRUFKRSKZNufRUWAp98oinPnKmZt5uIiIhqLCbdNVhwcDBaNW4MrF0LAKifkMBZNoxFoQDmztWU4+OZdBMREdVwTLprOnt7YMKEx2VrxliJiIjIRjHprukcHIA5cywdhX4YKxEREdkoztNNRERERGRifNJd06nVQFGRpmxnZ93LlatUQHq6puznZ/3LwNtKvxIREZHJWXHWQmYhk2mGQjg4aMrWLD8fCAjQbPn5lo6mYrbUr0RERGRyTLqJiIiIiEyMw0tqOicn4P79x2UyDvYrERERlcAn3XpYvHgx/P39IRaLERoaipSUFL3227BhAwQCAfr27WvaAJ+GQADUrq3ZOO7YeNivREREVAKT7kps3LgR48ePR1xcHE6fPo0WLVrg1Vdfxe3btyvcLy0tDRMmTEDHjh3NFCkRERERWSsm3ZWYN28eRo4ciWHDhqFp06ZYunQpnJyc8N1335W7j1KpxFtvvYXPPvsMzzzzjBmjrYLCQs2KifHxmjIZB/uViIiISmDSXYHCwkKcOnUKYWFh2jqhUIiwsDAkJyeXu9+0adNQr149DB8+3BxhPh2FAvjsM82mUFg6muqD/UpEREQl8EXKCkilUiiVStSvX1+nvn79+rhw4UKZ+xw5cgQrVqzA2bNn9T6PXC6HXC7Xfs7JyalSvFViZwe8997jsjVjrERERGSjmA0Y0cOHD/H222/jf//7Hzw9PfXeb/bs2fjss89MGFkFHB2BxYstc25DMVYiIiKyUUy6K+Dp6QmRSISsrCyd+qysLHh5eZVqf+XKFaSlpaFXr17aOpVKBQCws7PDxYsX8eyzz5baLzY2FuPHj9d+zsnJga+vr7Eug4iIiIgsjEl3BRwcHNCmTRvs379fO+2fSqXC/v37ERMTU6p9kyZN8Ndff+nUffrpp3j48CEWLlxYbiLt6OgIR0dHo8df7ajVgFSqKXt6cio+IiIishlMuisxfvx4DB06FG3btkVISAgWLFiAvLw8DBs2DAAwZMgQNGjQALNnz4ZYLEazZs109q9duzYAlKq3Gnl5mrmkASA7G3B2tmQ0FZPJgHr1NOXcXOuO1Zb6lYiIiEyOSXclBgwYgDt37mDq1Km4desWWrZsiT179mhfrkxPT4dQaOOTwBQVWTqC6on9SkRERI8w6dZDTExMmcNJAODgwYMV7rtq1SrjB2RMEglw/frjMhkH+5WIiIhKYNJd0wmFQIMGlo6i+mG/EhERUQk2Pi6CiIiIiMj68Ul3TVdYCCxcqCl/8AHg4GDZeKoL9isRERGVwKS7plMogEmTNOX33mNyaCzsVyIiIiqBSXdNZ2cHDB36uGzNGCsRERHZKGYDNZ2jI2DtM6wUY6xERERko/giJRERERGRifFJN9kOtVqzKiUAODlxGXgiIiKyGXzSXdMVL1deu7ambM1kMsDFRbMVJ9/Wypb6lYiIiEyOT7oJePDA0hFUT+xXIiIieoRJd00nkQCXLj0uk3GwX4mIiKgEJt01nVAIPPecpaOoftivREREVALHdBMRERERmRifdNd0CgWwbJmmPGoUYG9v2XiqC/YrERERlcCku6YrLARiYjTl6Ggmh8bCfiUiIqISmHTXdCIREBn5uGzNGCsRERHZKCbdNZ1YDGzaZOko9MNYiYiIyEZV+xcp1Wq1pUMgIiIiohqu2j3pVqlUEAo1P0uo1WoIuFS40aSmpurVztPTE35+fiaOhoiIiMh2VKuke8aMGcjOzsbcuXMBAAKBACqVCpMnT8brr7+O0NBQC0dohWSyx/NJX74MODmVapKZmQkAiIqK0uuQTk5OSE1NNX7inZenWQIeAHJzAWdn4x7fmPToVyIiIqo5qlXSXatWLcTHxyM6OhrNmjUDAOzZswfbt29HfHy8ZYOzVmo1cPPm43IZsrOzAQDTp09Hjx49KjxcamoqoqKiIJVKa/bTbj36lYiIiGqOapV0jx07FklJSZg6dSrWr18PR0dHbNu2DS1btoRYLNYZekKPiMXAmTOPyxUICAhA69atzRBUNWBAvxIREVH1Z/MZaFFRkbYsEAjw+eefY+vWrdizZw8A4Pjx4+jTpw8AMOEui0gEtGyp2Ti1nfGwX4mIiKgEm33SXfzU2s5Ocwn79u1D69at0bVrV/Tv3x9z5syBh4cHHB0d8dprr1k4WiIiIiKqyWz20W/xU+sVK1bA29sbX331Ffbt2wcA+OKLL/Dnn38iMjISFy9exLvvvot169ZpxyZTCQoFsGqVZlMoLB1N9cF+JSIiohJsMukunnv766+/xowZMzB9+nSsXr0ar7zyCgDA398f8fHxuH37Nj7++GO4ubkhNjYWzZo1Q7du3fDOO+/g/v37lrwE61FYCAwbptkKCy0dTfXBfiUiIqISbGJ4SfFQkuJ5twUCARQKBTZs2IBBgwZhxIgRpebkHjVqFL755htkZ2dj0aJF2qffJ0+ehEgkQp06dSx4RVZEJAKKZySx9rHHjJWIiIhslFUn3UqlEiKRSDuUpGRSnZqaioyMDHTo0KHUdwDg4uKCmTNnYtiwYejVqxc6dOiAdu3aoV27dua7AFsgFgM//WTpKPTDWImIiMhGWXXSLXr0hHDDhg3YunUrGjVqhJdffhmvvvoqmjdvjtzcXPz111/o0aOHznSAmZmZqF27NgYPHozPP/8c+/fv1ybnZH3S09MhlUr1bs8VL4mIiMjWWEXSnZeXh8jISIwfPx7dunXTqR82bBh+/fVXDBkyBPv27cOaNWswduxYxMbG4r333sPcuXPx1ltvoWHDhgA0Q1HWrFmDJk2aoE+fPjhy5AhcXV0tdWlUifT0dAQHB0Mmk+m9j8lWvCQiIiIyEatIup2dnfHw4UN89tln6NChAyQSCQDgjz/+QGpqKn766SeEhoYiJycHK1euxKRJk/Daa69hypQp2LZtGyIjI9GtWze0a9cOCxcuxL///otVq1YBABPuyshkQIsWmvIff5h9uXKpVAqZTIZ169YhODi4wrbC/Hw0e+UVyGUyXM7IsO6k28L9SkRERNbF4kl38bjt//3vf2jZsiXWr1+Pd955BwBw9uxZ3Lx5E6GhoQA0CfT777+PTZs2IS4uDlu2bMGOHTvw9ddfY9euXfjxxx/RqlUrbN68GbVq1bLkZRnF2bNnYa8uRPEo9D///BOOtdzLbFvlIRdqNfDPP4/LFhIcHFz5apd5eYBcbvk/tPqwkn4lIiIi62Cx/EWtVkOlUmnHbQcHB2PixImYOnUqevToAS8vL7i5ucHLywsnT55E27ZtoVQqYWdnh2HDhmHGjBm4c+cOAgICMH/+fOTk5KCgoAD16tWz1CUZXefOneFkB+Q9+hwW1g2yorLbVnnIhVgMHDnyuEwANC/q6qvMH3jYrzWaXC7Hf/7zH+zbtw/Z2dlo2rQp5s+fX+aL3C4uLjqfZTIZ5syZg48++gjnz5/Hf/7zH5w9exYNGzbEkiVL0KVLFzNdBRERGZPFkm6BQACRSITLly9j9uzZCAwMRExMDFatWoX58+fjiy++QGBgINzd3bF161a0bdtWm6BfuHAB3t7ecHFx0b5A6erqWu2GkixbtgzNggKALppx7vv27S3zSXdqaiqioqIglUoNT7pFIuD//s8Y4VYLmZmZAICoqCi99ynzBx72a41WVFQEf39/HDlyBA0bNsT333+PXr16IS0trVSSnZubqy3fvHkTfn5+6NevHxQKBfr06YOxY8fiwIEDOHDggHbBLw8PD3NfEhERPSWL/qZ+xowZmDlzJiIjI+Hn5wdHR0dMnToVH3zwAYYMGYLQ0FB06tQJO3bsgLOzM0aMGIEHDx4gJSUFHTt21I79rq4aN26M5i800X5u3rw5nOtUnyf51qh41dLp06ejR/E82xV4qh94qNpydnbG1KlTtZ8HDhyI8ePH4+LFi2jTpk25+yUlJaFdu3YICAjAuXPncP/+fYwdOxYAEBYWhlatWuHHH3/EiBEjTH4NRERkXBZbkfKPP/7ADz/8gPXr12Pt2rWIiopCnTp1MHLkSDz//POYMmUKAGDs2LEYOnQo4uLi0L17d7Rq1QoeHh745JNPLBV69VJUBGzapNmKyhm7UgMFBASgdevWlW7lvvzJfjU7uVyOjz/+GD4+PpBIJAgNDcXevXsr3e/EiROIiYnB888/D2dnZ/j5+eHNN9/EpUuXjHaey5cv4969ewgMDKyw3dq1azFkyBDtZ/UT7wOo1WqcP3++0msiIiLrY7Gk+8CBA3jw4IH2JUlAM92fQCDAl19+ia1bt2L37t2oX78+xo8fjz/++ANffPEFfvvtN2zZsqXaDSWxGLkcePNNzSaXWzqa6oP9anbR0dGYN28e3nrrLSxcuBAikQg9evTAkeKx9eX44osv8MMPP+CVV17BwoULMWrUKBw+fBitW7fGuXPnnvo8+fn5iIqKQmxsLNzc3MqN488//8SlS5fQv39/AJrfdNWuXRvz5s2DQqHAnj17cOjQIeTl5ZV7DCIisl4WG15y69YtuLq6on79+tol3IsXt3n55ZcxZMgQTJgwAe3bt4ebmxuCg4MrnVKOqkAoBDp3fly2ZkIhHrZpg1OnTsHtiRVIrY4t9Ws1kJKSgg0bNmDOnDmYMGECAGDIkCFo1qwZJk2ahKNHj5a77/jx45GUlAQHBwdt3YABA/DCCy/g888/x7p166p8HoVCgf79+yMwMFBnuElZ1q5di169eqF27doAAHt7e2zduhVjxozBzJkz0bZtWwwYMEC7JgEREdkWi2UDkZGR+Ouvv3Do0CHtEu5qtRpSqRSbN2/Gp59+irS0NFy4cMFSIdYMEglw8KBms/Yx8hIJLi9bhq4A1NY+I4gt9Ws1sHnzZohEIowaNUpbJxaLMXz4cCQnJyMjI6Pcfdu3b6+TcAPAc889h+eff77ULDaGnEelUuHtt9+GQCDA6tWrtX/PlUWlUiEpKQlvv/22Tn3z5s1x6NAh3L17Fz///DP+/fdfhISEVNwZRERklSyWdLdo0QKDBg3CiBEjcObMGeTm5iIvLw9ff/01NmzYgFq1aiErK0tn+AkRUVnOnDmDoKCgUsPOihPUs2fPGnQ8tVqNrKwseHp6Vvk8o0ePRmZmJjZt2gQ7u4p/qbh//34oFApERETo1P/5558oKCjQTiOoUqkQHh5u0LUQEZF1sFjSbW9vjxUrVqBu3bp47bXX0KNHDzRv3hxJSUn48MMPUb9+/VJTaxERlSUzMxPe3t6l6ovrbt68adDxEhMTcePGDQwYMKBK57l27RqWL1+OlJQUeHp6wsXFBS4uLvjtt98AABEREZg1a5Z2/7Vr12LgwIGlkvOVK1fCy8sLXl5eOHbsGLZu3WrQdRARkfWw6JSBjo6O2LFjB/766y+cPXsW9erVM2h+ZDKC/HygeMGO5GTrHgqRl4cXXnkFtwHsP3NGr10MWeTGqGypX62MSqVCYWGhXm0dHR0hEAiQn58PR0fHUt+LHw1Dys/P1/v8Fy5cwPvvv4927dph6NChOt/pe55GjRqVmnmkpN27d+t8XrNmTZnt5s+fj/nz5+sdOxERWS+Lr6hdt25dvPzyy3j55ZctHUrNpFIBf/zxuGzl7LOzURfA8BEjIDNgv+JFb8zGxvrVmhw+fBhdu3bVq21qaiqaNGkCiUQCeRmzxBQUFACA3nP637p1Cz179oSbm5t2/HZJxjoPERHVPBZPusl49H2qq9NOLAZ++eVx2UZMnTIF3fr2rbTdrl27MGXKFO2iN2ZjwX5NT0+HVCrVq23J1RCtRZMmTbBy5Uq92hYP6/D29saNGzdKfV/8w5aPj0+lx3rw4AEiIiKQnZ2N3377rcx9jHEeIiKqmZh0VwNVWbpcu1/r1kC3bqYIy6QaNWqE1q1bV9rOYsNLRCKL9Gt6ejqCg4MhkxnyewDr4uXlhejoaIP2admyJQ4cOICcnBydlxyPHz+u/b4iBQUF6NWrFy5duoR9+/ahadOmJjlPSXK5HP/5z3+wb98+ZGdno2nTppg/fz7aFQ9LKkOXLl1w7Ngx7djvjh07Yvfu3aXefyl+8fKjjz7SOx4iIjItTiCsh8WLF8Pf3x9isRihoaFISUkpt+3//vc/dOzYEXXq1EGdOnUQFhZWYXtjKLl0+alTpyrdpk+frrMfVR9SqRQymQzr1q3T68/CsmXLLB2yUURGRkKpVOpcj1wux8qVKxEaGgpfX19tvUwmw4ULF7S/DVAqlRgwYACSk5OxadOmCpNeQ85TmaKiIvj7++PIkSPIzs7GuHHj0KtXr0p/+7B8+XLk5uYiNzdXOza8+HNubi4uXboEoVCIfv366R0LERGZHp90V2Ljxo0YP348li5ditDQUCxYsACvvvoqLl68iHr16pVqf/DgQQwaNAjt27eHWCzGF198ge7du+P8+fNo0KCBSWMtXrq8MjpPf4uKgJ9/1pRffRWoZGoz0pOF+zU4OFivPwvWOLykKkJDQ9G/f3/Exsbi9u3bCAwMxOrVq5GWloYVK1botE1JSUHXrl0RFxeH+Ph4fPTRR9i+fTt69eqFe/fu6SyGA+j+BsmQ81TG2dlZZ8GcgQMHYvz48bh48SLatGlThV7QSEpKQrt27RAQEFDlYxARkfExw6rEvHnzMHLkSAwbNgwAsHTpUvz000/47rvv8N///rdU+8TERJ3Py5cvxw8//ID9+/djyJAhZonZIHI58NprmnJuLpNuY2G/mt2aNWswZcoUrF27Fvfv30fz5s2xc+dOdOrUqcL9iufW3rFjB3bs2FHq+yeHbVX1PJW5fPky7t27h8DAwArbffjhh/jwww/RsmVLfPXVV2jevLnO92vXrkVMTMxTxUJERMbHTKAChYWFOHXqFGJjY7V1QqEQYWFhSE5O1usYMpkMCoUC7u7u5baRy+U6MyLk5ORUPWhDCYVA27aPy9ZMKMTdgAD8e/WqTcRqM/1aTYjFYsyZMwdz5sypsF2XLl10pvM7ePCgSc5jiPz8fERFRSE2NhZubm7ltvvyyy/RtGlTiEQifPPNN4iIiMCFCxdQq1YtAJrFdC5duoT+/fsbLTYiIjIOZgMVkEqlUCqVqF+/vk59/fr1cevWLb2O8fHHH8PHxwdhYWHltpk9ezbc3Ny0myHjQp+aRAKcOKHZrH26M4kEe6ZPRwgA5RPLdlsdW+pXMokOHTpAIBCUuX366afadgqFAv3790dgYKDOcJOyhISEwMXFBRKJBJMmTUKtWrVw7Ngx7fdr165Fr169ULt2bVNdFhERVRGfdJvQ559/jg0bNuDgwYPaxTPKEhsbi/Hjx2s/5+TkmDfxJiKjO3LkSKVtVCoV3n77bQgEAqxevRoCgcCgcwiFQu1Te5VKhaSkJCxdurRK8RIRkWkx6a6Ap6cnRCIRsrKydOqzsrLg5eVV4b5z587F559/jn379pUac/kkR0fHMle5I6LqbfTo0cjMzMTPP/9cagn4J2VnZ+PEiRPo1KkTBAIBFi9ejHv37iE0NBQAsH//figUCkRERJgjdCIiMhCT7go4ODigTZs22L9/P/o+WohFpVJh//79Fb6o9OWXX2LmzJn4+eef0bZ4XK+1ys8Hioe+7Ntn3UMhZDL0GTcOVwEcK2NVQKtixH41ZLEbi81LTga7du0ali9fDrFYDE9PT2397t270bFjRwBAREQEOnbsiMmTJ0OhUCA2NhYXL16Evb09WrZsiV27dmnHgK9duxYDBw6sNHknIiLL4N/OlRg/fjyGDh2Ktm3bIiQkBAsWLEBeXp52NpMhQ4agQYMGmD17NgDgiy++wNSpU5GUlAR/f3/t2G8XF5dSC1hYBZUKOHr0cdmaqdVwkUrhAuBYiRfhrMGTya4wPx8tH/Xr2dOnoSqRdHt6esLPz0+v41Z1sRuzL3tPBmvUqJHOC51lKZ6HGwDq1q2LkydPltt2zZo1RouNiIiMj0l3JQYMGIA7d+5g6tSpuHXrFlq2bIk9e/ZoX65MT0+HsMTsFAkJCSgsLERkZKTOcYrnBLY6jo7Ajz8+LpNBylsNVATg0YSB2NmhA5QlvnNyckJqaqpeiXfJxW6Cg4MrbW+xZe+JiIioQky69RATE1PucJInpxtLS0szfUDGZGcHPBo6Q4YruRpojx49ymxTcj6K1NRUREVFQSqV6v20G9B/sRsOLyEiIrJOTLqJjEDf1UCJiIioZmLSXdMplcBvv2nKHTsCIpFl46ku2K9ERERUApPumq6gAOjaVVPOzQWcnS0bT3XBfiUiIqISmHTXdAIB0LTp47I1EwiQ3aABbty4YROx2ky/EhERkclxGfiazskJOH9eszk5Ge2wqampOH36dKWbQS/+OTnhpy++QDMASmufacVE/VrTyOVyfPzxx/Dx8YFEIkFoaCj27t1r9P0PHjxY7pLtJZdZN4Xc3FzExcUhPDwc7u7uEAgEWLVqld77X758GQMHDkTDhg3h5OSEJk2aYNq0aaWmmbTkNRIREZ90k5GVN4WevvsRlRQdHY3Nmzdj3LhxeO6557Bq1Sr06NEDBw4cQIcOHYy+/9ixY/Hiiy/q1AUGBhrtesoilUoxbdo0+Pn5oUWLFqVmRKpIRkYGQkJC4ObmhpiYGLi7uyM5ORlxcXE4deoUtm3bVmofS1wjEREx6SYj02cKvZI4rzSVJyUlBRs2bMCcOXMwYcIEAJrFqJo1a4ZJkybhaPGiTkbcv2PHjqXm2DdUly5d4O/vr/fTam9vb2RmZsLLywsnT54slRBXZO3atcjOzsaRI0fw/PPPAwBGjRoFlUqFNWvW4P79+6hTp47OPsa4RiIiMhyT7pouPx/o3VtT3r7daMvA6zuFnkHDS2Qy9Pz4Y5wD8JctLANvgn6tSTZv3gyRSIRRo0Zp68RiMYYPH47JkycjIyMDvr6+Rt//4cOHkEgkZltO3dHREV5eXlXaNycnBwC0i3UV8/b2hlAohIODQ5n7mfsaiYiIY7pJpQL27dNsNrAMfO0bN/D8o7JVs6V+tVJnzpxBUFAQXF1ddepDQkIAAGfPnjX6/sOGDYOrqyvEYjG6du1a4bLrAKBQKCCVSnU2hUIBuVxeql5lgj8HXbp0AQAMHz4cZ8+eRUZGBjZu3IiEhASMHTsWzmXMmmPoNRIRkXHwMUdN5+gIrFv3uEzGwX59apmZmfD29i5VX1x38+ZNo+3v4OCAN954Az169ICnpyf+/vtvzJ07Fx07dsTRo0fRqlWrMs/x+++/o2vx1JAlHD16FBs2bNCpu3r1Kvz9/SuM2VDh4eGYPn06Zs2ahe3bt2vrP/nkE8yYMUOnbVWvkYiIjINJd01nZwe89Zalo6h+2K86VCoVCgsL9Wrr6OgIgUCA/Px8OJbxA4tYLAYA5OfnV3gcQ/Zv37492rdvr/3cu3dvREZGonnz5oiNjcWePXvKPEeLFi1KzYby0UcfwcvLCxMnTtSpr+oQksr4+/ujU6dOeOONN+Dh4YGffvoJs2bNgpeXF2JiYrTtqnqNRERkHEy6icjkDh8+XOYT4bKkpqaiSZMmkEgkkJcxdr+goAAAIKlknPzT7h8YGIg+ffpgy5YtUCqVEJWxqmidOnUQFhZWqs7b27tUvSls2LABo0aNwqVLl9CwYUMAQL9+/aBSqfDxxx9j0KBB8PDwKHd/fa6RiIiMg0l3TadUAqdPa8qtW3O5cmNhv+po0qQJVq5cqVfb4uEf3t7emoWQnlA8vaSPj0+lx3ma/QHA19cXhYWFyMvLKzU23BosWbIErVq10ibcxXr37o1Vq1bhzJkzlSb/1n6NRETVBZPumq6gAHj0YhmXKzci9qsOLy8vREdHG7RPy5YtceDAAeTk5Ogkg8ePH9d+b8r9AeDff/+FWCyGi4uLQbGbS1ZWVqkpAQHNC54AUFRUVOkxrP0aiYiqC85eUtMJBECjRprN2pcrFwiQ6+mJtEdlq2ZL/WqlIiMjoVQqsWzZMm2dXC7HypUrERoaqjPdn0wmw4ULFyCVSqu0/507d0qd/48//sD27dvRvXt3CIX6/1V58OBBg1aU1FdZ1xgUFIQzZ87g0qVLOm3Xr18PoVCI5s2ba+uMeY1ERGQ4Pumu6ZycgLQ0S0ehHycnbFuwAFFRUVhn7TOC2FK/WqnQ0FD0798fsbGxuH37NgIDA7F69WqkpaVhxYoVOm1TUlLQtWtXxMXFIT4+3uD9BwwYAIlEgvbt26NevXr4+++/sWzZMjg5OeHzzz8vN8asrCy9l6V//fXXy5zCDwAWLVqE7Oxs7YwqO3bswPXr1wEAY8aMgZubW5nXOHHiROzevRsdO3ZETEwMPDw8sHPnTuzevRsjRozQGUJT1WskIiLjYNJNRFZrzZo1mDJlCtauXYv79++jefPm2LlzJzp16mTU/fv27YvExETMmzcPOTk5qFu3Lvr164e4uLgKl0hPTU3F22+/rVcsV69eLTfpnjt3Lq5du6b9vGXLFmzZsgUAEBUVBTc3tzL369SpE44ePYr4+HgsWbIEd+/eRUBAAGbOnIlJkyYZ5RqJiMg4mHQTkdUSi8WYM2cO5syZU2G7Ll26QF3Ggkn67j927FiMHTvW4PjKO6+h0vT4rUh55woJCcGuXbsq3b+q10hERMbBQXw1XUEB0LevZns0lZrVys9H+JQpSAEg0nPOZ4uxpX4lIiIik+OT7ppOqQS2bXtctmYqFTyuXoUHgCvWvrS6LfUrERERmRyT7prOwQEont3BwcGysVQn7FciIiIqgUl3TWdvD4wcaekoqh/2KxEREZXAMd1ERERERCbGJ901nUoFpKZqysHBABfIMA72KxEREZXApLumy88HmjXTlLlcufFU0q+pxQl5JfRtR0RERNaNSTcBnp6WjkBvBbVq4eHDh5YOQz9l9GtmZiYAzYInhijej4iIiGwTk+6aztkZuHPH0lHox9kZPyQkaJaBF4stHU3FyunX7OxsAMD06dPRo0ePSg+za9cuTJkyRbsfWTd/f39ER0drl2knIiIqxoGmRBYQEBCA1q1bV7oFBATodbxVq1ZBIBCU+wRdrVbD19cXAoEAr732WpltlixZAoFAgNDQ0ArPUbyJxWIEBQUhJiYGWVlZ+l24gXJzcxEXF4fw8HC4u7tDIBBg1apVBh1DLpfj448/ho+PDyQSCUJDQ7F3795S7Q4ePKhzfSW3Y8eOGemKNEr25ZEjR0p9X979Kt7v5MmTRo2nPNW1/4mILIFPuomqEXt7eygUilL1hw4dwvXr1+Ho6FjuvomJifD390dKSgr++ecfBAYGltlu2rRpCAgIQEFBAY4cOYKEhATs2rUL586dg5OTk9GuBQCkUimmTZsGPz8/tGjRAgcPHjT4GNHR0di8eTPGjRuH5557DqtWrUKPHj1w4MABdOjQoVT7sWPH4sUXX9SpK68vnpZYLEZSUlKpOPS5X+ZQ3fufiMicmHTXdAUFwPDhmvKKFYA1D9vIz0fYjBk4AOCWLSwDb4F+bdmyJU6cOAHlE6tgJiUloU2bNpBKpWXul5aWhqNHj2LLli0YPXo0EhMTERcXV2bbiIgItG3bFgAwYsQIeHh4YN68edi2bRsGDRpk1Ovx9vZGZmYmvLy8cPLkyVLJWGVSUlKwYcMGzJkzBxMmTAAADBkyBM2aNcOkSZNw9OjRUvt07NgRkZGRRom/Mj169MCmTZvw9ddfw87u8V/Hld0vc6nu/U9EZE4cXlLTKZVAUpJms/blylUq1L9wAV0ela2ahfq1Xbt2AIBz585p6woLC7F582YMHjy43P02bdqEOnXqoGfPnoiMjERiYqLe53z55ZcBAFevXq1i1OVzdHSEl5dXlfffvHkzRCIRRo0apa0Ti8UYPnw4kpOTkZGRUeZ+Dx8+RFFRUZXPq69Bgwbh7t27OsMt9Llf5lLd+5+IyJyYdNd0Dg7A/PmajcuVG4+F+tXz0YwpycnJ2rrdu3fjwYMHGDhwYLn7ff/99+jXrx8cHBwwaNAgXL58GSdOnNDrnFeuXAEAeHh4PEXkpnHmzBkEBQXB1dVVpz4kJAQAcPbs2VL7DBs2DK6urhCLxejatatJx0/7+/ujXbt2WL9+vbZOn/tlK6y9/4mIzInDS2o6e3tg3DhLR1H9WLhfT548ifz8fEgkEiQmJqJz587w8fEpt/2lS5ewePFiAECHDh3QsGFDJCYmljmc4MGDB5BKpSgoKMDvv/+OadOmQSKRlPuCpiVlZmbC29u7VH1x3c2bN7V1Dg4OeOONN9CjRw94enri77//xty5c9GxY0ccPXoUrVq1MkmMgwcPRmxsrEH3y1bYQv8TEZkLk26iakihUGDnzp0IDw/Hzp078fXXX1fYvl69eujatSsAQCAQYMCAAVi3bh2++uoriEQinbZhYWE6nxs1aoTExEQ0aNCgwnOoVCoU6jkW39HREQKBQK+2FcnPzy/zZUTxozH2+fn52rr27dujffv22s+9e/dGZGQkmjdvjtjYWOzZs+ep4ynLm2++iXHjxhl0v6qC/U9EZFlMums6lQpIT9eU/fy4XLmxWLhfn3/+eSQlJUEmk0GpVJb7YlrxC5cdO3bUGZMdGhqKr776Cvv370f37t119lm8eDGCgoJgZ2eH+vXro3HjxhDqcX2HDx/WJvaVSU1NRZMmTfRqWxGJRAK5XF6qvqCgQPt9RQIDA9GnTx9s2bIFSqWy1A8gxlC3bl2EhYXpdb+eBvufiMiymHTXdPn5QPFc0FwG3ngs3K/t27fHypUrcevWLURERKB27dpltjt9+jQA4IcffsAPP/xQ6vvExMRSSXdISIh29hJDNGnSBCtXrtSrbVlDEqrC29sbN27cKFVfvMKnPkM4fH19UVhYiLy8vFJjk41l8ODBGDlyZKX362mw/4mILItJNwFGnlvZlIocHct8cmaVLNivbdu2xerVq3Hs2DFs3Lix3Hb79u0DAKxevbrUHNtbtmzBjz/+iKVLl1b6RFIfXl5eiI6OfurjGKJly5Y4cOAAcnJydBK248ePa7+vzL///guxWAwXFxdThYnXX38do0ePrvR+PQ32PxGRZXEsQU3n7Azk5Wk2a3/K7eyMjStWwAWA0prnEwcs3q9isRgJCQmIj49Hr169ymyTn5+Pw4cPAwD69u2LyMhInS0mJgYPHz7E9u3bzRl6lclkMly4cEFnbuvIyEgolUosW7ZMWyeXy7Fy5UqEhobC19dXW3/nzp1Sx/zjjz+wfft2dO/eXa8hNFXl4uJS6f2ydrbc/0RE5sAn3UTV1NChQyv8fvv27ZDJZOV+/9JLL6Fu3bpITEzEgAEDjB2e3hYtWoTs7GztTBc7duzA9evXAQBjxoyBm5sbAM1CLF27dkVcXBzi4+MBaMam9+/fH7Gxsbh9+zYCAwOxevVqpKWlYcWKFTrnGTBgACQSCdq3b4969erh77//xrJly+Dk5ITPP//c5NdZ2f0q6bvvvivzxcIPPvgAtWrVMmZYNab/iYhMjUk3UQ2VmJgIBweHcme0EAqF6NmzJxITE3H37l0zR/fY3Llzce3aNe3nLVu2YMuWLQCAqKgobdJXnjVr1mDKlClYu3Yt7t+/j+bNm2Pnzp3o1KmTTru+ffsiMTER8+bNQ05ODurWrYt+/fohLi7O6pYhT0hIKLM+Ojra6Ek3+5+IyDiYdNd0cjkQE6MpL1oElDG9l9UoKECXOXOwE0COtS8Db+Z+jY6ORnR0dKUrSaalpWnL27dvx+HDh9G5c+dy269cuVL78l3xOcytZMwV6dKlC9Rqdal6sViMOXPmYM6cORXuP3bsWIwdO7YqIRpM37588totcQ+qY/8TEVkCB8nVdEVFwPLlms3al11WKtHgjz/QE4DA2peBt6V+JSIiIpPjk+6azt4emDHjcZmMg/1KREREJTDprukcHIBPPrF0FNUP+5WIiIhK4PASPSxevBj+/v4Qi8UIDQ1FSkpKhe03bdqEJk2aQCwW44UXXsCuXbvMFCkRWVJaWpp25g4iIqKSmHRXYuPGjRg/fjzi4uJw+vRptGjRAq+++ipu375dZvujR49i0KBBGD58OM6cOYO+ffuib9++OHfunJkj15NaDdy5o9nKeAmKqoj9SkRERCUw6a7EvHnzMHLkSAwbNgxNmzbF0qVL4eTkhO+++67M9gsXLkR4eDgmTpyI4OBgTJ8+Ha1bt8aiRYvMHLmeZDKgXj3NVsGczWQg9isRERGVwDHdFSgsLMSpU6cQGxurrRMKhQgLC0NycnKZ+yQnJ2P8+PE6da+++iq2bt1a7nnkcrnO0ub379/XHuv+7Rto86j+1P79cHCuXWr/s2fPav/r7u5e6XWVbO/p5ITnH9Wf/+UXqMpY6dGQ4z9NLJW1FxYUaGP946+/4LZ7t1GPb8z2JWMt2a+Wiqey9vfu3au0LdHTUKvVePjwIXx8fLi6JBHVSAJ1WROrEgDg5s2baNCgAY4ePYp27dpp6ydNmoRDhw7h+PHjpfZxcHDA6tWrMWjQIG3dkiVL8NlnnyErK6vM88THx+Ozzz4z/gUQEVmZjIwMNGzY0NJhEBGZHZ90W4HY2Fidp+P379+Hv78/MjIy4OrqapJz5pV4sq6PPzPS9W579o9LBh1bbeCc20FNAwxq38LXz6D2dU3U5+ZiyM/R169fR7NmzUz6Z80c8u7fgbO/ZtXCvLR/4FynroUjoifl5OTA19fX6CtmEhHZCibdFfD09IRIJCr1hDorKwteXl5l7uPl5WVQewBwdHSEYxkrFrq6uposERIZmHQ7u7jo3Vbs5GTQsQ1Nug2JBQBqGdiHtpx8AoYl3cXXaso/azpUKuDKFU352WcBIw0zECkL4Fxcdq0FZ1Nci1IJ/PabptyxIyASGf8cpmCiPq8qgUBg0fMTEVkKB9ZVwMHBAW3atMH+/fu1dSqVCvv379cZblJSu3btdNoDwN69e8ttT1Sj5OcDQUGaLT/f0tEYpqAA6NpVsxUUWDoa/dlynxMRVSN80l2J8ePHY+jQoWjbti1CQkKwYMEC5OXlYdiwYQCAIUOGoEGDBpg9ezYA4IMPPkDnzp3x1VdfoWfPntiwYQNOnjyJZcuWWfIyiKyHm5ulI6h52OdERBbHpLsSAwYMwJ07dzB16lTcunULLVu2xJ49e1C/fn0AQHp6us6b+O3bt0dSUhI+/fRTTJ48Gc899xy2bt2KZs2aWeoSiKyHszOQnW3pKGoW9jkRkVVg0q2HmJgYxMTElPndwYMHS9X1798f/fv3N3FURNVTeno6pFKpXm09PT3h52fYi7JERESWwKSbiKxGeno6goODIdNzQSEnJyekpqbCo1bp+eWJiIisCZNuIjIfuRwYPVpT/vZb4IlZe6RSKWQyGdatW4fg4OAKD5WamoqoqChIpVJ41OK8z+WqpM+JiMg8mHQTkfkUFQGrV2vKixeXmwAGBwejdevWZgysGtOzz4mIyLSYdBOR+djbA19++bhsS2w1dluNm4iommHSTUTm4+AATJxo6SiqxlZjt9W4iYiqGSbdNZSzgb9ifunZQL3b1nc1bE7geV+uNqi9W93aBrVvbuAy8EVKpUHt7axsZUJDVvzj6oBERETmwaSbiMxHpQIyMzVlb2+LL0luEKUSOH1aU27d2raWgbfVPiciqkaYdBOR+eTnAw0fzTSSm6tZuMVWFBQAISGasi3Fbst9TkRUjTDpJiLzsuNfO2bHPicisjj+TUxE5uPsDCgUlo6iZmGfExFZBQ7uIyIiIiIyMSbdREREREQmxqSbiMxHLgfef1+zyeWWjqZmYJ8TEVkFJt1EZD5FRcCSJZqtqMjS0dQM7HMiIqvAFymJyHzs7YG4uMdlW2Krsdtq3ERE1QyTbiIyHwcHID7e0lFUja3GbqtxExFVMxxeYmSzZ8/Giy++iFq1aqFevXro27cvLl68aOmwiIiIiMiC+KTbyA4dOoT3338fL774IoqKijB58mR0794df//9N5xteCU4OwOWvH7Oy8ugYy/48iOD2v+VkWFQ+z0nzxjUvmdIG4Pa13N1Nah9jaZWAw8eaMpuboBAYNl4DKFSAampmnJwsO0sp27LfU5EVI0w6TayPXv26HxetWoV6tWrh1OnTqFTp04WiorISshkQJ06mrKtLUmenw80a6Yp21LsttznRETVCJNuE3vw6AmTu7t7uW3kcjnkJabyysnJMXlcRERERGQ+NvL7UdukUqkwbtw4/N///R+aFT8hK8Ps2bPh5uam3Xx9fc0YJZEZOTkBhYWazcnJ0tHUDOxzIiKrwKTbhN5//32cO3cOGzZsqLBdbGwsHjx4oN0yDByzTGQzBALNtHX29hxbbC7scyIiq8DhJSYSExODnTt34vDhw2jYsGGFbR0dHeHo6GimyIjIVqWnp0Mqlerd3tPTE35+fiaMiIiI9MWk28jUajXGjBmDH3/8EQcPHkRAQIClQyKyHoWFwCefaMozZ2rmkCa9pKenIzg4GDKZTO99nJyckPrHH/D79ltNBfuciMhimHQb2fvvv4+kpCRs27YNtWrVwq1btwAAbm5ukEgkFo6OyMIUCmDuXE05Pp4JoAGkUilkMhnWrVuH4ODgStunpqYiKioK97Ky4Mc+JyKyOCbdRpaQkAAA6NKli079ypUrER0dbf6AiCys5JAIgUIBn7ffBgDcPHcO6ieWJU8tngfbGtnbAxMmPC5bSHBwMFq3bq13e7WdnVXETURU0zHpNjK1Wm3pEIisRoVDItauLXe/zMxME0ZVRQ4OwJw5lo7CYGp7e5uMm4ioumHSTUQmY+iQiF27dmHKlCnIzs42fXBERERmxKSbiExOOyRCrQaKijSVdnalprCz6uElKhWQnq4p+/nZ1jLwCoWmXEafExGReTDpJpuTW1BgUPt3ur1sUPvFW34yqH3kKx0Mal+3Vi2D2guqU5IkkwEuLpqyrS1Jnp8PFM9GZEOxCwsKHr88aUNxExFVNzbyqIaIiIiIyHbxSTcRmY+TE3D//uMymZxKLGafExFZASbdRGQ+AgFQu7alo6hZ2OdERFaBw0uIiIiIiEyMT7qJyHwKC4FZszTlyZO5OqIZCBQKzUqUAPuciMiCmHQTkfkoFMBnn2nKEycyATQDQVER+5yIyAow6SYi87GzA95773HZltho7GqRyCbjJiKqbvg3MBGZj6MjsHixpaOoGhuNXe3gYJNxExFVN3yRkoiIiIjIxPikm4hIH2o1IJVqyp6eXE6diIgMwifdRGQ+eXmAvb1my8uzdDSGkcmAevU0m0xm6Wj0JszPt90+JyKqRvik24oVKZUoUir1amsnEpk4GtNxNPDlrg5BQQa1f3vYFIPaO4gNm91BbG9vUHtBTX9CWlRk6QhqHvY5EZHFMekmIvORSIDr1x+XyeRUjo7scyIiK8Ckm4jMRygEGjSwdBQ1C/uciMgqcEw3EREREZGJ8Uk3ERkkPT0d0uJZPCqRmpqqW1FYCCxcqCl/8AFXRzQDgUIBzJmj+cA+JyKyGCbdRKS39PR0BAcHQ2bg7B2ZmZmagkIBTJqkKb/3HhNAMxAUFbHPiYisAJNuItKbVCqFTCbDunXrEBwcXGn7Xbt2YcqUKcjOztZU2NkBQ4c+LtsSG41dLRLZZNxERNUN/wYmIoMFBwejdevWlbYrNbzE0RFYtco0QZmajcaudnCwybiJiKobvkhJRERERGRifNJNRKQPtfrxSpROTlwGnoiIDMIn3URkPnl5QO3ams3WliSXyQAXF81ma8vA22qfExFVI3zSbcXsRCKbXt7dVERCw35WXPPdNIPan0pLM6j99wd/N6h9xEuVj4UuSa4wbAnvgLp19W6rVqsNOrZRPHhg/nPWdOxzIiKLY9JNROYjkQCXLj0uk8mpHB3Z50REVoBJNxGZj1AIPPecpaOoWUzY54YslJSbm2uSGIiIbAWTbiIiMlhVF0oiIqqpmHQTkfkoFMCyZZryqFGAvb1l46kJFApg8WJN2Yh9buhCSadOncKoUaOMcm4iIlvEpJuIzKewEIiJ0ZSjo5l0m4GwqMikfa7vQkkcXkJENR2TbiIyH5EIiIx8XLYlNhq7Wii0ybiJiKobJt1EZD5iMbBpk6WjqBobjV3t6GiTcRMRVTc1ZnEcpVJp6RCIiIiIqIaq9kn3lStXoFAoIOKvVYmIiIjIQqp10p2QkIABAwbg3LlzuHr1KiIjI3H37l1Lh0VUc8lkQIMGms3WpprLywMEAs1mQ8upC/LzbbfPiYiqkWqZdKtUKgBAv379IBKJ8Pbbb6NJkyZwdHSEhCuyEVmOWg3cvKnZLLEEfQ0kANjnRERWoFq9SKlUKiEUCiEUCqFWq5GTk4OMjAxkZ2dj+vTpmDRpkqVDNEhuQQGEDg56tXURi00cjfUQCAQGtS9QKAxq7+/paVD7W97ZBrW/n2fY08Zn6tUzqL0h/WNoXz41sRg4c+ZxmUxO5eDAPicisgLV5km3SqWCSCSCQCBAcnIydu3ahUaNGmHNmjXo2LGjdohJcVsisgCRCGjZUrPxPQvzYJ8TEVmFapN0C4VC3LhxAxEREXjjjTewfv163LlzB2FhYRgyZAjOnTuH7du3a9uqTfxr1sWLF8Pf3x9isRihoaFISUkx6fmIiIiIyHpVm+El6enpGDhwIHx8fJCSkgKxWAzPR8ME3nrrLezYsQM///wzOnXqhFatWpn01+obN27E+PHjsXTpUoSGhmLBggV49dVXcfHiRdQzcKgAUbWiUACJiZryW29xRUpzUCiAVas05Ur6PD09HVKpVK/DpqamGiE4IqKaw+aS7uKhIUKh7kP6v//+G2lpaTh69CgA4Pbt21AoFLh9+zYaNGiAMWPG4MMPP8SyZcswY8YMLF68GA0aNMDw4cONHuO8efMwcuRIDBs2DACwdOlS/PTTT/juu+/w3//+1+jnI7IZhYXAo/8v0L8/k24zEBYV6dXn6enpCA4OhszAGU4yMzOfNkQiohrBppJutVqtTbb//vtvSKVStGvXDvb29vD29saDBw8wefJkZGVlQS6X4/jx48jPz8e3336Lnj174o033sCmTZvQrFkzqFQqbDLBKm2FhYU4deoUYmNjtXVCoRBhYWFITk4ucx+5XA65XK79nJOTY/S4iKyCSAT06PG4bEtsNHa1UKhX3FKpFDKZDOvWrUNwcHClx921axemTJmC7OxsI0VKRFS92UTSrVarIRAIIBAIIJfL8c477+Cnn36CRCJB+/btMXnyZLRp0wYLFy7EwoUL0bZtW7Rp0wbDhw/H119/jalTp6Jnz5744IMP8MYbb+Dq1avo1q2bSWKVSqVQKpWoX7++Tn39+vVx4cKFMveZPXs2PvvsM5PEQ2RVxGLgp58sHUXVmCB2cwznUDs6GhR3cHAwWrdubbJ4iIhqKptIuovHX2/fvh1XrlyBk5MTTp8+jTNnzmDRokWYPn061q1bhxEjRuCdd96BUCiEUqmESCTCyZMnIZPJUFBQALFYjMDAQAQGBlr4inTFxsZi/Pjx2s85OTnw9fW1YEREtiM1NRXyh/fQ7tHnP//8E4613Mts6+npCT8/P/MFVwEO5yAiqlmsMulWqVTaJ9vFDh06hMmTJ+Pu3bv44osv8Mwzz+CZZ55Bfn4+vvnmGyQkJGDixInaWUyUSiU2b96MefPmYdq0aRCbaX5aT09PiEQiZGVl6dRnZWXBy8urzH0cHR3h6OhojvCIqo3i5DMqKgpOdkDxGpFhYd0gKyp7HycnJ6SmplpF4s3hHERENYvVJd3FT6gBaJ9OA0Dnzp3Rr18/LFiwALVq1dK279mzJ5KTk7Flyxa88cYbqF27NpYvX45NmzZBLpdj6dKl6NOnj9nid3BwQJs2bbB//3707dsXgOaHiP379yMmJsZscRBZJZkMaNFCU/7jD8DJqcqHKk4+p0+fjlc6vgR00QwZ27dvb5lPulNTUxEVFQWpVFq1pDsvDyiefej2bcDZuaqh6zD1cA5Bfj7w3HOaD0/Z50REVHVWl3SLRCLk5uZi0qRJuHHjBlq3bo3u3bujXbt2ePPNN3HkyBF8//336NGjBxwdHVGnTh307dsXqamp+Prrr7XT87Vs2dKsyXZJ48ePx9ChQ9G2bVuEhIRgwYIFyMvL085mQlRjqdXAP/88LhtBQEAAmjdvrv3cvHlzONcx0dScBg4FsQYCwOh9TkREhrP44jhPrg75+++/IygoCP/++y+ee+457Ny5Ez179sS5c+fQrFkz9OnTB//++y/Wr1+v3eeVV15Bq1at8PPPP+PKlSt46aWXLJZwA8CAAQMwd+5cTJ06FS1btsTZs2exZ8+eUi9XEtU4YjFw5Ihm45LkZqFycGCfVyMJCQlo3bo17O3tER8fr/d3AHDnzh307NkTzs7OaNy4Mfbv31/uebp06QKxWAwXFxe4uLggIiKiVJvk5GQIhULMmDHjaS+LqEaw2JNutVqtXbodAPLy8uDs7Ixt27ahVatW2LZtG+zs7FBYWIhXX30Vo0ePxq+//ooBAwbg6NGj+OGHHxAeHg4vLy8IhUK89957+OCDD6xirCYAxMTEPPVwkifHtVdEoSxnEKuR2Ius7pcierMTGvazpVyhMKh9q0aNDGrvU6eOQe0NpXziB1ljtTUKkQj4v/8z7zlrOvZ5teLt7Y34+HgkJSUZ9B0AvP/++/Dy8sKdO3ewb98+vPnmm7h8+TLc3ct+8Xj58uWIiooq8zuVSoUPP/wQL774YtUvhqiGsdiTboFAAJFIhMuXL+Odd97BggULAAB79+5FcHAw7OzsoFAo4ODggBUrViA5ORn79++Hl5cX+vTpg5s3b2r3AYBnn33WahJuIiIiU+jbty969+6N2rVrG/Rdbm4utm7dis8++wxOTk7o3bs3XnjhBWzbtq1KcSxbtgyhoaF6vQRMRBoWHV4yY8YMNG/eHEVFRfD19UVGRgZatGiBP/74AwBgb2+PoqIiPPPMM+jatSu2bt0KAOjXrx/atWuHFsUvZBGRbSgqAjZt0mxFpv3tDD3CPi/X5cuXMXDgQDRs2BBOTk5o0qQJpk2bpjON48GDB7W/dXxyO3bsWIXHj46OLndfgUCAGzduGBTL016ri4sLGjZsqK174YUXcP78+XL3+fDDD1G3bl1069YNf/75p7b+7t27WLBgAdeXIDKQxcYM/PHHH/jhhx+wfv167SwfABAaGoq1a9ciKSkJgwcPhkgkwoMHDyCVSvHqq68CAMRiMRYsWAA7O9sd8kBUI8nlwJtvasq5uQD/HzY5oULBPi9DRkYGQkJC4ObmhpiYGLi7uyM5ORlxcXE4depUqSfAY8eOLTWUorI1H0aPHo2wsDCdOrVajXfffRf+/v5o0KBBlWKpitzcXLi6uurUubq64u7du2W2//LLL9G0aVOIRCJ88803iIiIwIULF1CrVi188sknGDduXJlP1ImofBb72/fAgQN48OABQkNDAWjGhwmFQoSHh+P48eP45JNPUK9ePTRu3BgHDhxAXl6eti0AJtxEtkgoBDp3fly2JTYau1ogsMm4TW3t2rXIzs7GkSNH8PzzzwMARo0aBZVKhTVr1uD+/fuoU+L9i44dOyIyMtKgc7Rr1w7t2rXTqTty5AhkMhneeuutKsdSFS4uLsjJydGpy8nJgYuLS5ntQ0JCtOVJkybhu+++w7Fjx+Dp6YkTJ05g8eLFTxUPUU1kscz11q1bcHV1Rf369aFWqyF89I9BQEAAJk2aBLVajYEDB6J27dq4f/8+vvrqK3Qu/oeDiGyTRAIcPGjpKKrGRmNXi8U2GbepFSegT84q5e3tDaFQCAcHh1L7PHz4EBKJ5Kke+iQlJUEgEGDw4MFPFYuhnnvuOeTm5uLGjRvaJ+znzp3DkCFD9NpfKBRCrVbj0KFDuHjxovYYDx48gJ2dHa5cuYKVK1c+dZxE1ZnFHntERkbir7/+wqFDh7QzdKhUKty9excXLlzA6tWrcfr0aSxZsgR3795FdHS0pUIlIqJqpkuXLgCA4cOH4+zZs8jIyMDGjRuRkJCAsWPHwvmJxY+GDRsGV1dXiMVidO3aFSdPnjT4nAqFAt9//z3at28Pf3//KsVSVFSEgoICKJVKnXJl37m4uKBPnz6Ii4tDfn4+du7ciT///LPM6XWzs7Oxd+9eyOVyFBYWYv78+bh37x5CQ0MxatQo/PPPPzh79izOnj2L3r174/3338f8+fMN7g+imsZiSXeLFi0waNAgjBgxAmfOnEFubi5kMhkWLlyIpKQkXLt2DX5+fujevbulQiQiomoqPDwc06dPx969e9GqVSv4+flh4MCBGDNmjE4C6eDggDfeeAMLFy7Etm3bMGPGDPz111/o2LEjzpw5Y9A5f/75Z9y9e1dnaIkhsQCaCQgkEgmWL1+OmTNnQiKRYO3atZV+BwBLlizBzZs34eHhgfHjx2Pjxo3a6QIjIiIwa9YsAJofDmJjY+Hp6QkvLy/s2LEDu3btgpubG5ycnODl5aXdJBIJXFxcOL6bSA8WG15ib2+PFStWoHPnznjttdfw7LPP4vr16xAKhVi9ejUaGTj3MRHZgPx8oHiMa3KyZsiGrcjLA4qfTqalGW0ZeFMTFBQALVtqPthan5uYv78/OnXqhDfeeAMeHh746aefMGvWLHh5eWnXWWjfvj3at2+v3ad3796IjIxE8+bNERsbiz179uh9vqSkJNjb2+PN4hdbDYwFAOLj48tc+Kay7wCgbt262LVrV5nf7d69W6edvk/yV61apVc7IrLwMvCOjo7YsWMH/vrrL5w9exb16tUrdyJ+IqoGVCrg0ZSgMPfCPMYglVo6AoMJ1Grb7nMT2bBhA0aNGoVLly5pp9Hr168fVCoVPv74YwwaNAgeHh5l7hsYGIg+ffpgy5YtUCqV2kXeKpKbm4tt27bh1VdfLXXcp4mFiGyHxV9lr1u3Ll5++WWMHz+eCTdRdScWA7/8otm4JLlZqBwc2OdlWLJkCVq1aqUzbzWgeZItk8kqHTri6+uLwsJC5OXl6XW+rVu3lpq1xFixEJFtsHjSTUQ1iEgEdOum2fR4OkhGwD4vU1ZWlvYlw5IUCgUAzUuJFfn3338hFovLnXLvSYmJiXBxcUHv3r2fKpYuXbpoz+vi4oKIiAjtdwkJCWjdujXs7e0rHGZS7Pz58+jUqRNcXV3RtGlTHHw0y41cLsc777wDPz8/uLq64qWXXkJycrJe10lE5eNk11Zsa3IKJHqOG+3WurlBx/Zyq21Qe7kBK9k5Wtkc6nYGJho+TzkfbmUKHv1Dqq9Ve/Yb1N7bp67ebaVZWQYdm6i6CAoKwi+//IJLly4hKChIW79+/XoIhUI0b675O/XOnTuoW1f3/6k//vgD27dvR0REhHa6WwCQyWRIT0+Hp6cnPD09tfV37tzBvn37MGjQIDg5OVU5lmLLly8v8zfD3t7eiI+PR1JSUqXXr1Ao0KdPH4wdOxYHDhzAgQMHEBkZiYsXL0IsFsPf3x9HjhxBw4YN8f3336NXr15IS0vT+4cMIiqNT7qJyHyKioCfftJsXJLcPNjnZZo4cSKUSiU6duyI6dOnY8mSJejRowe2bt2Kd955Bz4+PgCAAQMGoGfPnpg5cyb+97//4cMPP0T79u3h5OSEzz//XOeYKSkpCA4OxqJFi3TqN27ciKKiojKHlhgSS2X69u2L3r176zWTyMWLF3H//n2MHTsWIpEIYWFhaNWqFX788Uc4Oztj6tSp8PPzg1AoxMCBA+Hg4ICLFy/qFQcRlY1JNxGZj1wOvPaaZpPLLR1NjSBUKNjnZejUqROOHj2KNm3aYMmSJRg3bhyuXLmCmTNnIiEhQduub9++kEqlmDdvHt577z1s3LgR/fr1w8mTJxEcHKzXuRITE1GvXr1SS8IbGkuxDz/8EHXr1kW3bt3w559/Vq0DoFmS/snP58+fL9Xu8uXLuHfvXqXL3hNRxaxrHAARVW9CIdC27eOyLbHR2NUCgU3GbQ4hISHlTqFXbOzYsRg7dqxex+vSpUupRBaAXuOh9YkFAL788ks0bdoUIpEI33zzDSIiInDhwgXUqlVLrxiLNW7cGLVr18a8efMwZswY7N+/H4cOHcIzzzyj0y4/Px9RUVGIjY2Fm5ubQecgIl38G9iKFWZeKrv+xgUUPeBYXLJBEglw4oRms7X5om00drVYbJNxU9lCQkLg4uICiUSCSZMmoVatWjh27JjBx7G3t8fWrVuxbds2eHl5Yf78+RgwYIDODCoKhQL9+/dHYGAgpk6daszLIKqRmHRbsZdjJ6Dw+t86dYXX/0b3D2PQZvwwJt5ERDWcUCgs8+m6Ppo3b45Dhw7h7t27+Pnnn/Hvv/8iJCQEAKBSqfD2229DIBBg9erVEAgExgybqEZi0m3FGt1Xofv4sdrEu/D63+g+fiz87ylR52EhVLn3LRwhERGZS3Z2Nvbu3Qu5XI7CwkLMnz8f9+7dQ2hoKADN1IIFBQVQKpU65fL8+eefKCgogEwmw5w5c6BSqRAeHg4AGD16NDIzM7Fp0ybYWdmMVES2ikm3FbtWRwj/e0p0Hz8W8pTt2oQ7zV2EX+Z9DYcGTSwdIpFh8vOB//s/zZafb+loDCOTaZaB9/fXlG2EoKDAdvucdCgUCsTGxsLT0xNeXl7YsWMHdu3apR1rPWPGDEgkEixfvhwzZ86ERCLB2rVrtftHRERg1qxZ2s8rV66El5cXvLy8cOzYMWzduhUAcO3aNSxfvhwpKSnw9PTUzgn+22+/mfV6iaob/vhqxX6d9SVqffIx/O8pMXryfAB4nHA3bGrh6IiqQKUCjh59XLYlajVw7drjso0QqNW22+eko27dujh58mS538fHx1e4KM7u3bt1Ps+fPx/z588v1a5Ro0ZVHrJCROVj0m3FHHya4OcJY7UJNwD8PGEsHJlwk61ydAR+/PFxuZpJT0+HVCrVq21qaqqJo9FQ2dtX6z4nIrIVTLqtWOHNC+gz92udulfnfo1f5gXySTfZJjs7oG9fS0dhEunp6QgODobMwKEnmZmZJorokWrc50REtoRJtxV7efIk+N9XIc1dhJ8njMWrc7/WjvHmEBMi6yKVSiGTybBu3Tq9Fk3ZtWsXpkyZguzsbNMHR0REFsek24o1uq/C1TpCLH37AxQV+OPftz/Au2sWIOCeEt0+HIOEoeOgdPUHAOQ/NOzpWusXGhvW3r+RQe2pfHdzHxrUvlZtF4Pa/3n878obPfLg/j2Djv3UlEqg+GWsjh0Bkci85zeD4OBgtG7dutJ25hpeAqUSOHhQU66mfU5EZAs4e4kVS6stwNIh41Dk5g8AKHLzx9Ih43C1jhB3ne2hcnC1bIBEhiooALp21WwFBZaOpkYQFhayz4mIrACfdFuxFYPeg92jhLtYkZs/EoaOg8rBFWqxu2UCI6oqgQBo2vRx2ZbYaOxqwCbjJiKqbvik24opXf3Kqfdnwk22yckJOH9eszk5WToaw9ho7GqJxCbjNsTly5cxcOBANGzYEE5OTmjSpAmmTZtW4UutM2fOhEAgQLNmzfQ6x/nz59G/f38888wzcHJygqenJzp16oQdO3Y8VVtjy83NRVxcHMLDw+Hu7g6BQIBVq1aV2bYq/fak06dPo3fv3nB3d4eTkxOaNWuGr7/+ulS7U6dOITw8HK6urqhVqxa6d++Os2fPVvEqiWwTn3QTEZHNysjIQEhICNzc3BATEwN3d3ckJycjLi4Op06dwrZt20rtc/36dcyaNQvOzs56n+fatWt4+PAhhg4dCh8fH8hkMvzwww/o3bs3vv32W4waNapKbY1NKpVi2rRp8PPzQ4sWLXCweDz/E6rSb0/65Zdf0KtXL7Rq1QpTpkyBi4sLrly5guvXr+u0O336NDp06ABfX1/ExcVBpVJhyZIl6Ny5M1JSUtC4sWHvGBHZKibdRETlsMZ5tw2lb1zWGn9l1q5di+zsbBw5cgTPP/88AGDUqFFQqVRYs2YN7t+/jzp16ujsM2HCBLz00ktQKpV6398ePXqgR48eOnUxMTFo06YN5s2bp5NIG9K2Il26dIG/v3+5T6rL4u3tjczMTHh5eeHkyZN48cUXy2xXlX4rKScnB0OGDEHPnj2xefNmCIXl/+J8ypQpkEgkSE5OhoeHBwAgKioKQUFBmDx5Mn744Qe9r4/IljHpJiLzyc8HevfWlLdvByQSy8ZTgSfn3ZYAOPHouxcBlLegusnn3dZTcRwjoqKw/VFdbwCVvUppLfHrKycnBwBQv359nXpvb28IhUI4ODjo1B8+fBibN2/GmTNnMGbMmKc6t0gkgq+vL06cOGHUtk/D0dERXl5elbYztN+elJSUhKysLMycORNCoRB5eXmQSCRlJt+//fYbwsPDtQl38Xk6d+6MnTt3Ijc3Fy4uhs3SRGSLmHQTkfmoVMC+fY/LVuzJebeF+fl4vkMHAMDRI0egeuIHBmubd7s4jvgpU9Bt+nQAQHIZcReztvj11aVLF3zxxRcYPnw4PvvsM3h4eODo0aNISEjA2LFjdYaQKJVKjBkzBiNGjMALL7xQpfPl5eUhPz8fDx48wPbt27F7924MGDDgqdsqFAo8ePCgVJ1cLi/1NN7d3b3CJ8v6MKTfyrJv3z64urrixo0b6Nu3Ly5dugRnZ2e8/fbbmD9/PsRisbatXC6HpIw/d05OTigsLMS5c+fw0ksvPdX1ENkCJt1EZD6OjsC6dY/LNkA773ZenrauZcuWwBNJibUOz/ANDNT2ecvQUM0KlWWw1vgrEx4ejunTp2PWrFnYvn27tv6TTz7BjBkzdNouXboU165dw77iH/yq4KOPPsK3334LABAKhejXrx8WLVr01G1///13dO3atVT90aNHsWHDBp26q1evwt/fv8rXABjWb2W5fPkyioqK0KdPHwwfPhyzZ8/GwYMH8c033yA7Oxvr16/Xtm3cuDGOHTsGpVIJ0aN54gsLC3H8+HEAwI0bN57qWohsBZNuIjIfOzvgrbcsHUWNohaJqn2f+/v7o1OnTnjjjTfg4eGBn376CbNmzYKXlxdiYmIAAHfv3sXUqVMxZcoU1K1bt8rnGjduHCIjI3Hz5k18//33UCqVKCwsfOq2LVq0wN69e3XqPvroI3h5eWHixIk69foMH9GHPv1WntzcXMhkMrz77rva2Ur69euHwsJCfPvtt5g2bRqee+45AMB7772H//znPxg+fDgmTZoElUqFGTNmaIcy5eeXN1iLqHph0k1EOHv2rF5jKm31aShVXxs2bMCoUaNw6dIlNGzYEIAm+VOpVPj4448xaNAgeHh44NNPP4W7u/tTj+Nu0qQJmjRpAgAYMmQIunfvjl69euH48eMQPDEPuiFt69Spg7CwsFJ13t7epeqNQd9+K0/xcJFBgwbp1A8ePBjffvstkpOTtUn3u+++i4yMDMyZMwerV68GALRt2xaTJk3CzJkzOZ6bagzO001E6Ny5M9q0aVPpFhUVBeApXrZTKoETJzSbUmnEK6DyCFSqat3nS5YsQatWrbSJY7HevXtDJpPhzJkzuHz5MpYtW4axY8fi5s2bSEtLQ1paGgoKCqBQKJCWloZ79+5V6fyRkZE4ceIELl26ZNS2pqZPv1XEx8cHQOkXMevVqwcAuH//vk79zJkzkZWVhd9++w1//vknTpw4AdWj9zqCgoKe6lqIbAWfdFuxgVE94FKrll5t7+bmGnTsYb3eNqj9d9vX6N32pcBAg46tUBYZ1N5eZF1/bJUGvhDYoI5hCxu91bGDQe0P1fXUu+2dW7cAAMuWLUObNm0qbf/UL9sVFAAhIZpybm6pcdFkfMLCwmrd51lZWWVObadQKAAARUVFuHHjBlQqFcaOHYuxY8eWahsQEIAPPvgACxYsMPj8xUMjnnwJ8mnbmpo+/VaRNm3aYO/evbhx44bOPNs3b94EgDKH8NSpUwcdOjz++2zfvn1o2LCh9rcBRNWddWUvRGQRjRs31rwsWImnHl4iEACNGj0u2xJbjd1W49ZTUFAQfvnlF1y6dEnnien69eshFArRvHlzODg44Mcffyy176effoqHDx9i4cKFePbZZ7X1MpkM6enp8PT0hKen5ofY27dva5/iFlMoFFizZg0kEgmaNm2qrTekbUXKW9jGGPTpt2Jl9cebb76Jzz//HCtWrMDLL7+sbbt8+XLY2dmhS5cuFZ5/48aNOHHiBObOnfvUM7EQ2Qom3URkPk5OQFqapaOoGhuNXenoaJNx62vixInYvXs3OnbsiJiYGHh4eGDnzp3YvXs3RowYoR0G0bdv31L7Fj/ZfvK7lJQUdO3aFXFxcYiPjwcAjB49Gjk5OejUqRMaNGiAW7duITExERcuXMBXX32lMy7ZkLbFsrKySr1IWZ7XX3+9win9Fi1ahOzsbO1T5x07dmhXiRwzZgzc3Nz07rfy+qNVq1Z455138N1336GoqAidO3fGwYMHsWnTJsTGxursf/jwYUybNg3du3eHh4cHjh07hpUrVyI8PBwffPCBXtdMVB0w6SYiIpvVqVMnHD16FPHx8ViyZAnu3r2LgIAAzJw5E5MmTTLaeQYMGIAVK1YgISEBd+/eRa1atdCmTRt88cUX6F284FMV2hZLTU3F22/rN+zv6tWrFSbdc+fOxbVr17Sft2zZgi1btgDQrATp5uZmlH5bunQp/Pz8sHLlSvz4449o1KgR5s+fj3Hjxum0a9CgAUQiEebMmYOHDx8iICAAM2bMwPjx42FXzhSWRNUR/7QbUVpaGqZPn45ff/0Vt27dgo+PD6KiovDJJ59UuroXERFVTUhICHbt2mXwfuUN3+jSpQvUarVO3cCBAzFw4EC9jmtI24rOWVVpev5mQ99+Ky82e3t7xMXFIS4ursL9n332Wfz88896xURUnTHpNqILFy5ApVLh22+/RWBgIM6dO4eRI0ciLy8Pc+fOtXR4RJZXUAAUJyMbNgAlVq2zevn5QKdOmvLhw1a9hH1JwsJCoHj4hK31ORFRNcKk24jCw8MRHh6u/fzMM8/g4sWLSEhIYNJNBGimrNu27XHZlqhUwMmTj8s2QqBS2W6fExFVI0y6TezBgwdwdzdsijiiasvBAVi27HGZTE5lZ8c+JyKyAky6Teiff/7BN998U+lTbrlcDrlcrv2ck5Nj6tCILMPeHhg50tJR1ChqOztg6FBLh0FEVONxckw9/Pe//4VAIKhwu3Dhgs4+N27cQHh4OPr374+RlSQZs2fPhpubm3bz9fU15eUQERERkZnxSbcePvroI0RHR1fY5plnntGWb968ia5du6J9+/ZYVvxr3QrExsZi/Pjx2s85OTlMvKl6UqmA4gV2goMBLopheioVcP68psw+JyKyGCbdeqhbt26ZS9qW5caNG+jatSvatGmDlStX6rXSlqOjIxwdHUvVN/fzg6urq17n/fXvv/VqV6xj2GsGtd+46ie92wZMjDbo2PXd3Axqb+iy6yITJxmmPr6hOhuwpPL1MhbpMKn8fKBZM025Gi5Jbo1EhYXscyIiK8Ck24hu3LiBLl26oFGjRpg7dy7u3Lmj/c7Ly8uCkRFZkUfLSNskW43dVuMmIqpGmHQb0d69e/HPP//gn3/+QcOGDXW+M9aiB0Q2zdkZKPHDqE2x0diVYrFNxk0V8/f3R3R0tHZZdiKyftb1e3EbFx0dDbVaXeZGRGRLVq1apX1R/MiRI6W+L/57LSoqCq+9VvZwtSVLlkAgECA0NLTScwgEAojFYgQFBSEmJgZZWVmVxpibm4u4uDiEh4fD3d0dAoEAq1atKrOtXC7Hxx9/DB8fH0gkEoSGhmLv3r1ltj116hTCw8Ph6uqKWrVqoXv37jh79myl8Zw4cQIxMTF4/vnn4ezsDD8/P7z55pu4dOmSTrvo6OgKX8y/ceNGpefSlz730dfXFwKBQOc+Fu93snhuegPY6n0BzHtvqObhk24iIiqXWCxGUlISOnTooFOf+uiFWHt7+3L3TUxMhL+/P1JSUnD9+vVy202bNg0BAQEoKCjAkSNHkJCQgF27duHcuXNwcnIqdz+pVIpp06bBz88PLVq0KHdZd0CTTG3evBnjxo3Dc889h1WrVqFHjx44cOCAzrWdPn0aHTp0gK+vL+Li4qBSqbBkyRJ07twZKSkpaNy4cbnn+OKLL/D777+jf//+aN68OW7duoVFixahdevWOHbsGJo9Gls/evRohIWF6eyrVqvx7rvvwt/fHw0aNCj3HFVV3n08dOgQrl+/XuZ7RVVlq/cFsMy9oZqDSTcRmU9BATB8uKa8YoVFliQvThYNbpefD0REaMq7d9vWMvBvvaX5UIU+79GjBzZt2oSvv/4adnaP/8lITk4GALiV8yL01atXcfToUWzZsgWjR4/Gvn37yj1HREQE2rZtCwAYMWIEPDw8MG/ePGzbtg2DBg0qdz9vb29kZmbCy8sLJ0+exIsvvlhmu5SUFGzYsAFz5szBhAkTAABDhgxBs2bNMGnSJBw9elTbdsqUKZBIJEhOToaHhwcAzdP8oKAgTJ48GT/88EO58YwfPx5JSUlwKLEI0YABA/DCCy/g888/x7p16wAA7dq1Q7t27XT2PXLkCGQyGd4qvldGVt59TEpKQps2bSCVSo12Llu9L4Bl7g3VHBxeQkTmo1QCSUmazcxLkmdmZgLQ/EPdpk2bSreoqCid/aBSAYcOaTZbWwb+Kfp80KBBuHv3rs6v/AsLC5GSklLhfomJiahTpw569uyJyMjIcocMlOXll18GoEncK+Lo6KjXS+qbN2+GSCTCqFGjtHVisRjDhw9HcnIyMjIytPW//fYbwsLCtIkdoEkiO3fujJ07dyI3N7fc87Rv314nsQOA5557Ds8//3ylP+wlJSVBIBBg8ODBlV5PVZR3Hzdv3mz0c1an+wKY/t5QzcGkm4jMx8EBmD9fs5l5SfLs7GwAwPTp03Hq1KlKt+nTp+vsZ6tUdnZP1ef+/v5o164d1q9fr63bvXs3ZDJZhfslJiaiX79+cHBwwKBBgyocXvKkK1euAIBOgvU0zpw5g6CgoFJTsIaEhACAzrhguVwOSRm/xXByckJhYSHOnTtn0LnVajWysrLgWcEMMgqFAt9//z3at28Pf39/g46vr/Lu44MHDzBw4ECTnLMy1n5fAPPcG6o5OLyEiMzH3h4YN86iIQQEBKB169aVttN3GIq1U9vZPXWfDx48GLGxscjPz4dEIkFiYiKCg4PxdznrA5w6dQoXLlzAN998AwDo0KED6tatqzONakkPHjyAVCpFQUEBfv/9d0ybNg0SiaTcFzQNlZmZCW9v71L1xXU3b97U1jVu3BjHjh2DUqmESCQCoHkifPz4cQAw+EW6xMRE3LhxA9OmTSu3zc8//4y7d++afPhCWfexc+fO8PHxMel5y2Pt9wUw372hmoFPuomIqEJvvvkm8vPzsXPnTjx8+BA7d+4sNe61pMTERNSvXx9du3YFAAgEAu2QEWUZQ1zCwsJQt25d+Pr6YuDAgXBxccGPP/5otJfW8vPzy3xRUPxofHt+fr627r333sOlS5cwfPhw/P333zh37hyGDBmiHWZUsm1lLly4gPfffx/t2rXD0KFDy22XlJQEe3t7vPnmm3ofuyrKuo+WHDJh7fcFMN+9oZqBT7qJyHxUKiA9XVP28+OS5OagUgFpaZpyFfu8bt26CAsLQ1JSEmQyGZRKJUJCQrBixYpSbZVKJTZs2ICuXbvqjMkODg4GABw8eBCvv/66zj6LFy9GUFAQ7OzsUL9+fTRu3Fiv1Xz1JZFIIJfLS9UXFBRovy/27rvvIiMjA3PmzMHq1asBAG3btsWkSZMwc+ZMuOi5iuutW7fQs2dPuLm5acculyU3Nxfbtm3Dq6++arThNOUp6z5GRkaa9JwVseb7Apj33lDNwKSbiMwnPx8ICNCUuSS5WYgKC43S54MHD8bIkSNx69YtREREwLmc4/z666/IzMzEhg0bsGHDhlLfb9q0qVTSHRISop29xBS8vb3LHH5Q/JT0yeEVM2fOxIQJE3D+/Hm4ubnhhRdewOTJkwEAQUFBlZ7vwYMHiIiIQHZ2Nn777bcKh29s3brVrDNjPHkfa9eubZbzlsWa7wtg/ntD1R+TbiumVKmg1HOWhNBnnzXo2J4TogxqLy8q0rutu4th/6j/o8ciGCX5c0lr21bBvMtWz1ZjN0Lcr7/+OkaPHo1jx45h48aNUCgUZbZLTExEvXr1sHjxYp36v//+G3Fxcdi5c6d2TLG5tGzZEgcOHEBOTo7OS3vF44FbtmxZap86derozBO9b98+NGzYEE2aNKnwXAUFBejVqxcuXbqEffv2oWnTphW2T0xMhIuLC3r37m3AFVXdk/fRkqz5vgDmvzdU/fF3u0RkPs7OQF6eZrO1p9w2GrtSLDZK3C4uLkhISEB8fDx69epVZpv8/Hxs2bIFr732GiIjI3W2Ll26AAAePnyI7du3VzmOqoiMjIRSqcSyZcu0dXK5HCtXrkRoaCh8fX0r3H/jxo04ceIExo0bpx32IpPJcOHCBZ35rZVKJQYMGIDk5GRs2rSpwnHvAHDnzh3s27cPr7/+eoWLABmTPvfRXExxX4DS98bQ+wJY5t5Q9ccn3UREpJfKXjrbvn07Hj58WOGTQU9PTyQmJmLAgAFGiWnRokXIzs7WznSxY8cO7fSEY8aMgZubG0JDQ9G/f3/Exsbi9u3bCAwMxOrVq5GWllZqXPrhw4cxbdo0dO/eHR4eHjh27BhWrlyJ8PBwfPDBB9p2KSkp6Nq1K+Li4hAfHw8A+Oijj7B9+3b06tUL9+7d01l0BYB27vdiGzduRFFRkdmHL1R2H0v67rvvsGfPnlL1H3zwAWrVqlXufpa6L0Dpe2PofQEsd2+oemPSTURERpGYmAixWIxu3bqV2+bVV1/F999/j7t37xrlnHPnzsW1a9e0n7ds2YItW7YA0CRTxStmrlmzBlOmTMHatWtx//59NG/eHDt37kSnTp10jtegQQOIRCLMmTMHDx8+REBAAGbMmIHx48frrORYluJ5pXfs2IEdO3aU+v7J5K54KM6Ty45bk4SEhDLro6OjK0y6bfm+ALZxb8j2MOkmIvORy4GYGE150SKgjOnCrFZBAfDGG5ryDz9YZAn7qhAqFMDIkZoPBvR5dHQ0oqOjK223YMEC7dNAfYaNLFmyRPukUd9zVCSteGaWSojFYsyZMwdz5sypsN2zzz6Ln3/+udLjdenSBWq1Wqfu4MGDesVSLDk52aD2VaFvHz/Zj097byx1X4DS98bQ+wKY595QzcOkm4jMp6gIWL5cU16wwLaSbqUS2LXrcdlGCJRK2+1zIqJqhEk3EZmPvT0wY8bjMpmc2s6OfU5EZAWYdBOR+Tg4AJ98YukoahSVnR37nIjICjDpJiIisjH6jpkmIuvBpJuIzEetBornNfb0BAQCy8ZTE6jVwJ07mjL7nIjIYph0E5H5yGRAvXqaMpeBNwuRXM4+JyKyAky6rZDy0cwI169f11katyKGLNMOAFnFT770ZMjxb4gMW+g08959g9rbFRQY1l4kMqh9TZKRkQEA+P3335GXl1dp++L5bs+ePQt3d3eD2wsLCvD8o+/O//ILVE9Mu2fI8Uu2dXEUos2j+lP798PBubZVx27O9n/89ReKF80uK25zx3Pv3r1K2xI9DbVajYcPH8LHx0dnpUoii1OT1qFDh9Svvfaa2tvbWw1A/eOPP2q/KywsVE+aNEndrFkztZOTk9rb21v99ttvq2/cuKFzjLt376oHDx6srlWrltrNzU39zjvvqB8+fGhQHCkpKWoA3Lhx48aNG7cqbhkZGcZIDYiMhk+6S8jLy0OLFi3wzjvvoF+/fjrfyWQynD59GlOmTEGLFi1w//59fPDBB+jduzdOnjypbffWW28hMzMTe/fuhUKhwLBhwzBq1CgkJSXpHUdgYCAA4O/Llytc8askV4lE7+MDgFKlMqi9IU+6nRwcDDo2Wc7169fx/PPPIyMjQ+/fqphakQFzYBcaOF+2IccGDP//ispnjX/WyHzy7t+Bs7/m37a8tH/gXKeuyc6Vk5MDX19fvf/9JDIXgVr9xJJaBAAQCAT48ccf0bdv33LbnDhxAiEhIbh27Rr8/PyQmpqKpk2b4sSJE2jbti0AYM+ePejRoweuX78OHx8fvc6dk5MDNzc3ZNy6pfc/Tky6qSquX78OX19fPHjwwGoSISbd1ZM1/lnToVIBV65oys8+C1jLsASlEvjtN025Y0fAGobLVaGv8u7fhrN7fU35Xhac69QzWXjF/4Za7Z81qrGs5G8V2/TgwQMIBALUrl0bgGbZ2Nq1a2sTbgAICwuDUCjE8ePHLRQlERFVKj8fCArSbPn5lo7msYICoGtXzWbg+ywmY619RWTlOLykigoKCvDxxx9j0KBB2p+kb926hXr1dH96t7Ozg7u7O27dulXuseRyOeRyufZzTk6OaYImIqLyublZOgLbwb4iMhifdFeBQqHAm2++CbVajYSEhKc+3uzZs+Hm5qbdfH19jRAlERHpzdkZyM7WbJxWsWLsK6Iq4ZNuAxUn3NeuXcOvv/6qM17My8sLt2/f1mlfVFSEe/fuwcvLq9xjxsbGYvz48drPxS+BEBFRzZCeng5p8cJRJQjz89HyUfns2bNQPXrPwNPTE35+fuYLkIieGpNuAxQn3JcvX8aBAwfg4eGh8327du2QnZ2NU6dOoU0bzazBv/76K1QqFUJDQ8s9rqOjIxwdHU0aOxERWaf09HQEBwdDJpOV+s4JQPEM+v/XoQOKWzg5OSE1NZWJN5ENYdJdQm5uLv755x/t56tXr2oXfvD29kZkZCROnz6NnTt3QqlUasdpu7u7w8HBAcHBwQgPD8fIkSOxdOlSKBQKxMTEYODAgXrPXEJERBYglwOjR2vK334LmPFBiFQqhUwmw7p16xAcHKzznTA/H+igWd7o9yNHoJJIkJqaiqioKEilUssk3RbsKyJbxqS7hJMnT6Jr167az8VDPoYOHYr4+Hhs374dANCyZUud/Q4cOIAuXboAABITExETE4NXXnkFQqEQb7zxBr7++muzxE9ERFVUVASsXq0pL15skUQyODgYrVu31q0ssVJsy5YtrWMMtRX0FZEtYtJdQpcuXVDRtOX6TGnu7u5u0EI4RERkBeztgS+/fFy2FtYYlzXGRGQDmHQTERE5OAATJ1o6itKsMS5rjInIBjDptmLJly/DycVFr7Z2IsNmf/R2q21Q+4ZPvDRaEUNXpDRktUsAEAkEBrW3s4YV3KoRQ1d1vJuba1D7X//+W++2t9NvV96ohA8G9DGoPRERkbEw6SYiIlKpgMxMTdnb27qWgT99WlNu3VpnGfjU1FS9D2PUKQatta+IrByTbiIiovx8oGFDTTk31zpeWAQ0S7+HhGjKj+LKfJTwRkVF6X0Yo04xaK19RWTlmHQTEREBgJ1t/JOYnZ0NAJg+fTp69OhRaXuTTDFoI31FZE34fw0REZGzM6BQWDoKgwQEBJSeYtAcbLCviKwBB2IREREREZkYk24iIiIiIhNj0k1ERCSXA++/r9nkcktHY93YV0RVwqSbiIioqAhYskSzGbh2QI3DviKqEr5IacVkGalwCn6xdP21c7Bz9YBDHW8LREVkPVQP70Atuw9R/aBS3ymzLkHgVAfCWnUtEBnZHHt7IC7ucdlaWCiu9PR0SKXSMr8TKBTwGjUKAHDr3Dmo7e2NOw84UTXFpNuKtX7/XaR+twrO/i9o6/LS/kLI8GHIdnXA1e9+YOJNNZbifhY6Tx+DOrkK/Dh1FkRejbXfKW9dxOvTJuO+iz0OTfmGiTdVzsEBiI8v9+uKktCyGC0JrSQuU0hPT0dwcDBkMlnljZctA2DkecCJqikm3Vas0X0Vag0fhpQVK+Hs/4I24fa/p0QaClGUc5dJN9VYyty7qJOrQMA9JV6fNlmbeBcn3AH3NMvVq2X3ASbd9BQMSkIfseUkVCqVQiaTYd26dQgODq60vUnmASeqhph0W7G0OkI0v6eEevgwbB09An2/XQ7/e0pcdRdhy6czIZI5A6lXAQACgcCgY3/+7fcGtZ/9v2l6t21u4r90hSLDXkVQq9UGtTe0L6uDe3l5KCqxvHRFxAb+irtxo+cMav9K2Nt6t/XbuAmCgW8i4G4R+k3/BOc+j0ez6fGaH0w97PDvhu/RObCVQeenGkqtBh480JTd3IASfw9YNAlVqYDi5d6Dg8265HpwcHDZ84A/2VdEpBcm3VZsx8SpqDV3OgLuKfHh7G8B4HHC7VV6DCtRTVM7sBWubPgeGPgm/O8WwX/kpwCANA87XNnwPWoz4SZ9yWRAnTqacjlLm5ebhJpSfj7QrFmFcZndk31FRHrh7CVWTFQvEFtHj9Cp2zp6BBNuohJqB7bCuc/jderOfR7PhJuIiKwKn3RbMeXtf9D32+U6dX2/XY4tnwYw8SZ6JPufM2j233idumb/jceVDU2ZeJP+nJyAwkJN2Y7/NFaonL5KLR4GUwb5w3to96j8559/okFAEMd/U43Dv1msWK850xBwX4Wr7iLtmO6Ae0r0m/EJh5gQQZNwP/toaEmah51mTPd/4+F/twgY+CaHmJD+BALrmirQBCpKig1q90RfZWZmAgCioqLK3cXJDsh7VA4L6wY42O6LpkRVxaTbivk/SriLE+wtnwag34xPtIn3j1NmQVjfsJfUiKoLp8JMnYT7yobv4R3YClc2NNWO8cbAN/Hvxs1we7aFpcMlshh9kuKK9qtMdnY2AGD69Ono0aNHmW3kD+8BXboBAJYkLEb0yPc52wnVOEy6rVhaHSH2lniirUm8Z6LfjE9w38UecKpt2QCJLEghcsYDVwekATpPtEu+XPnA1QEOtT0tGifZiMJC4JNPNOWZMzXzY1cT+iTFJe3atQtTpkzR7lfKk331SEBAQLkvmubdv60tBz3H39JSzcSk24rtnBQHpyeGkIi8gvDjlFmAU20u+EE1mkLkioebfsHdbClqP/Eku3ZgK/y7cTMcantC4tHAQhGSTVEogLlzNeX4eKMk3UYbzmEkFSXFJVUaz5N9RUR6YdJtxYR1ny27nkNKiAAAEo8G5SbVHFJCBrG3ByZMeFx+CkYdzmHEuIzGGmMisgFMuomIiBwcgDlzjHIoow7nMGJcRmONMRHZACbdREREJmC04RxEVC0w6SYiIlKrgaIiTdnOTmcZeItSqYD0dE3Zz8+sy8CX68m+IiK98P8WK3Y/KxuOYrlebV+OaFd5oxLSOxnW/sCBE3q3fW6Ql0HHzsnPN6h9PVdXg9rnqxQGtXeVSAxqXx3cz8tDkZ7/mE9893ODjh3WbYhB7Vt0aa532zb+/gYdm4zrxv17ere9lX3fhJEYgUwGuLhoytay3DqgWQY+IEBTtpa4nuwrItKLFfzITERERERUvfFJNxERkZMTcP/+4zKVj31FVCVMuomIiAQCoHZtS0dhG9hXRFXC4SUlHD58GL169YKPjw8EAgG2bt2q871arcbUqVPh7e0NiUSCsLAwXL58WafNvXv38NZbb8HV1RW1a9fG8OHDkcsxb0REREQ1GpPuEvLy8tCiRQssXry4zO+//PJLfP3111i6dCmOHz8OZ2dnvPrqqygoKNC2eeutt3D+/Hns3bsXO3fuxOHDhzFq1ChzXQIREVVFYaFmdcX4eE2Zyse+IqoSDi8pISIiAhEREWV+p1arsWDBAnz66afo06cPAGDNmjWoX78+tm7dioEDByI1NRV79uzBiRMn0LZtWwDAN998gx49emDu3Lnw8fEx27UQEZEBFArgs8805YkTjbIMfLX1ZF8RkV6YdOvp6tWruHXrFsLCwrR1bm5uCA0NRXJyMgYOHIjk5GTUrl1bm3ADQFhYGIRCIY4fP47XX3+9zGPL5XLI5Y+nBszJyTHdhRARUWl2dsB77z0uWwtrjMsaYyKyAfy/RU+3bt0CANSvX1+nvn79+trvbt26hXr16ul8b2dnB3d3d22bssyePRufFT81ICIi83N0BMoZWmhR1hiXNcZEZAM4ptsKxMbG4sGDB9otIyPD0iERERERkRHxSbeevLw0qyxmZWXB29tbW5+VlYWWLVtq29y+fVtnv6KiIty7d0+7f1kcHR3h6Oho/KCJiMi2qdWAVKope3paz/L0RGQwPunWU0BAALy8vLB//35tXU5ODo4fP4527TRLqrdr1w7Z2dk4deqUts2vv/4KlUqF0NBQs8dMRER6yssD7O01W16epaN5TCYD6tXTbDKZpaPRsNa+IrJyfNJdQm5uLv755x/t56tXr+Ls2bNwd3eHn58fxo0bhxkzZuC5555DQEAApkyZAh8fH/Tt2xcAEBwcjPDwcIwcORJLly6FQqFATEwMBg4cWKWZS94aGIFatWrp1Tb97l2Djp1z17CXNQNbPat3Ww8XF4OObS8SGdR+4/+3d+dhUVVvHMC/w8iOIIiyKYKCSrjgkuSaJrmbmruZS6aWWvrDsqzczT0jd01TTEzD3HIrJclUctdScU1EUVBQ9n3m/P4YGEW2uSDMDPP9PM88Xu+89973XIbhnTvnnnPshKT4Ls2bSIo3NzGWFG8s1/9fo2yFAlkKhUaxu3cHSNr31agoSfFVOMOd1oSGh0uKv/coVuPYJ48fFR+kbdnZ2s5Af/BcEUmm/9XCS3T27Fl06NBB/X9/f38AwPDhw7Fp0yZMmTIFKSkpGDNmDOLj49GmTRscOnQIZmZm6m2CgoIwYcIEdOzYEUZGRujbty+WLVtW7m0hIiIJzM2B+/efLVPheK6ISoRF93Pat28PIUShz8tkMsyePRuzZ88uNMbOzg5bt24ti/SIiKisGBkBLi7azkI/8FwRlQj7dBMRERERlTFe6SYiIsrMBL77TrU8cSJnpCzKi+eKiDTCopuIiCgrC5gyRbU8bhyL7qK8eK6ISCMsuomIiCpVAoYPf7asK3QxL13MiUgP8LeFiIjI1BTYtEnbWeSni3npYk5EeoA3UhIRERERlTFe6SYiItJVQjybidLCgtPAE+kxXukmIiJKSQGqVFE9dGlq89RUwMpK9dClaeB18VwR6The6dZhTlWqwNraWqNYa4mzgvl/MVJS/K5fQzWOXfHLPkn7PvbzMUnx42e9JyneTOIoBEnpGZLi7Syl/RoVNQFTQWTlcGXr2oMHsLCy0ij2UWKipH1LfW2a8sasQkl97TyRWBAd2vWnpPht61ZoHJudnSlp31qRkKDtDPQHzxWRZPzrRkREZG4O3LjxbJkKx3NFVCIsuomIiIyMAE9PbWehH3iuiEqERTcREemkyMhIxMbGahxvb28PV1fXMsyIiKjkWHQTEZHOiYyMhJeXF1Il3DxoYWGB8PDwkhXeWVnAunWq5TFjAGNj6fswFC+eKyLSCItuIiLSObGxsUhNTcWWLVvg5eVVbHx4eDiGDh2K2NjYkhXdmZnAhAmq5REjWHQX5cVzRUQaYdFNREQ6y8vLC02bNi37A8nlQL9+z5Z1hS7mpYs5EekBFt1ERERmZkBwsLazyE8X89LFnIj0QIWaHEepVGo7BSIiIiKifCpE0S2EgEKhgJGRqjmZmXowCQMRERERGYwKUXTLZDLI5XLcu3cPH3/8MX744Qekp6drOy0iItIXqamAi4vqoSvTrQOqadZlMtVDV6Zc19VzRaTjKkTRDQALFixA3bp1ERUVhSpVqiAuLk7bKRERkb4QAnjwQPUQQtvZ6DaeK6ISqRA3Up47dw5BQUH46aef0Lt3b22n89LIZTLIZTKNYk0rSftRpmRkSIp/t38XjWMvRERI2nfTN6WNTKCQ2Hf/fx8vlBQ/8pPBkuLrOjpKine2tZUUL8rwj1ruvhvUrInKlStrtE01DeMMUbZCISm+ksSRHz6dtUJSfFZmtqT49BRp3xB+PHe2xrHxT+IwZ6IOj+lsZgZcuPBsmQrHc0VUInpTdAshoFQqIX/uj5RCoYBcLsfevXshhECbNm3yxAOqridERERFkssBHx9tZ6EfeK6ISkQvupcolUp1v+34+Hj8/vvviI6OVt8wGRsbC3Nzc9jb20ORc6VJJpNBJpOV6VVCIiIiIiJN6EXRnTsqyYwZM+Dh4YEpU6bAz88P48aNAwD06NED58+fx/nz5/NcCY+Li8P+/fu1kjMREemRrCxg0ybVIytL29noNp4rohLRme4lQog8XUFyu47k+uGHH7B7925s2bIFHTt2xKVLl9CiRQs0bdoUffr0QY8ePTBkyBAcO3YM1tbWMDIywrJly/DgwQM0a9YMTk5O2mgWERHpg8xMYORI1XL//pwGvigvnisi0ohOFN1Pnz6Fra0t7t69i127duG9996DtbU1IiIi4ObmhrS0NKxYsQLjx49Hly5dcOnSJUydOhXW1tZwcHBAjRo1sHz5cnTp0gUtWrRAvXr1cPfuXaSnp2PTpk0suImIqGhyOdCt27NlXaGLeeliTkR6QOtF9+bNm7Fp0yYEBATgxo0bmDZtGuzs7LB//34EBwfj9u3bcHd3h7u7OwDgo48+wqZNmzB06FBs2bIFDg4OyM7OhqurKw4ePIizZ8/i4sWLePvttzF27Fgtt46IiPSCmRmgi90RdTEvXcyJSA9ovU+3q6sr4uLisHPnTvTr1w/u7u4YMWIEHj16hFu3bsHd3R0pKSlIS0vDxIkTcenSJfz9999YvXo1HBwccP/+fXz55ZdITU1FrVq10LdvX8yZM4cFNxERERHpDK0V3UqlEtnZ2Wjfvj26du2KY8eOYfLkyahatSpsbGwwZMgQ1K5dGwBgaWmJAQMGwN7eHsOGDYO3tzcAIDs7G1u2bMGlS5cQIXFsaCIiIiKi8qKVolsIASMjI1SqVAlJSUlo1aoVMjIykJKSgqNHj+Ldd9/F+vXrcerUKfU2I0aMQOvWrbF48WK89dZb+Prrr9G8eXOsXbsW//vf//DKK6+Ued4KhQLTpk2Du7s7zM3NUadOHcyZMyfPsIRCCEyfPh1OTk4wNzeHn58fbt68Wea5ERFRKaSmAp6eqocuTW2ekgJYWqoeujQNvC6eKyIdp5WiO3f87P/9739wcnJCcHAwbt26he3bt2Pfvn2YPn06YmJisGfPHiQmJqq3W7FiBebOnQtbW1ucPXsWb7/9Nu7cuYPOnTuXS94LFy7E6tWrsWLFCoSHh2PhwoVYtGgRli9fro5ZtGgRli1bhjVr1uDUqVOwtLRE586dkZ4ubaY3IiIqR0IAt26pHro2v0Nqqm4Vt7p8roh0mNa6l/z666/45ZdfcPjwYSxfvhyhoaGoVq0aVq9eDTMzM0yaNAm7du3CyZMnAaiuIFeqVAn9+/dHYGAggoODMX369HLN+eTJk+jVqxe6d+8ONzc39OvXD506dcLp06fVOQYEBOCrr75Cr1690KhRI2zevBkPHjzA7t27yzVXIiKSwMwMOH5c9eDU5kXjuTI4jx8/Rvfu3WFpaYl69eohJCSk0NgxY8bAyckJ1tbWaNiwIX799VeNnjMEWhu95OLFi3BwcIC3tzcqV66MKlWqYP78+fjiiy+wceNGTJo0CcHBwZg/fz5OnDiBJUuWYNSoUVixYoUq8Urln3qrVq2wbt063LhxA3Xr1sWlS5dw/PhxLF26FABw584dREdHw8/PT72NjY0NfH19ERYWhkGDBhW434yMDGRkZKj///zVfU1ZSXzja54zGoymshTZGsc2rFlT0r6bubtJijeWS/vZJydI+0r2l8ADkuLnzxwvKT4uOVlS/COJrwcvZ2eNY3PHxq9TvTqsra0lHYfyO37jhqT4G//dkxS/YsHn0vYfFSkpPjIuVlJ8m7r1NI69f/8+5kyUtPvyJZcDrVtrOwv9wHNlcMaPHw9HR0c8fvwYR44cwYABA3Dz5k3Y2dnli/X398fy5cthamqKM2fOwM/PD//99x+qVq1a5HOGQGtXuuPj42FkZARra2solUoAQN++feHk5ITvv/8ed+/exdq1a9GkSRMcPnwYAQEB6oJbWz7//HMMGjQI9evXh7GxMZo0aYJJkybhnXfeAQBER0cDABwcHPJs5+DgoH6uIPPnz4eNjY36UVNi0UpERERUFpKTk7F7927MmjULFhYWeOutt9CwYUPs2bOnwPj69evD1NQUgOrCTmZmJqKioop9zhBoregePnw4zp49i6NHj0Iul6sL7/r16+P+/fv4+uuv4eHhgYCAAPz99986MQTgzz//jKCgIGzduhXnz59HYGAglixZgsDAwFLtd+rUqUhISFA/7t2TdvWLiIhKKTsbCA5WPbI1/2bPIPFclYuMjAx89tlncHZ2hrm5OXx9fXH48OEitzlz5gwmTJgAb29vWFpawtXVFQMGDMCNIr6FO3/+PN566y3Y2dnBwsICDRo0wLJly9TP37x5E1ZWVqhRo4Z6XcOGDXHlypVC9zlu3DiYm5vj1VdfxRtvvIGGDRtq9FxFp7XuJQ0aNMCgQYMwduxY7N+/H56enkhMTERycjJatmypk1d7P/30U/XVbkD1ort79y7mz5+P4cOHw9HREQAQExOTZxbMmJgY+Pj4FLpfU1NT9Sc/IiLSgowMYMAA1XJyMqCFLox648VzRWVixIgR2LFjByZNmgRPT09s2rQJ3bp1w9GjR9GmTZsCt1m4cCFOnDiB/v37o1GjRoiOjsaKFSvQtGlT/P3332jQoEGe+N9//x09e/ZEkyZNMG3aNFhZWeH27du4f/++OiY5OTlf90Nra2vExcUVmvuqVavU9+tdvnxZ3ZWxuOcqOq29q8jlcqxbtw4tW7ZE586d4e3tjYsXL6Jt27bYtGkTqlWrpq3UCpWamgojo7xfDjx/ld7d3R2Ojo4ICQlRF9mJiYk4deoUPvzww/JOl4iINGVkBLz++rNlXaGLeeliThXM6dOnsW3bNixevBiffPIJAGDYsGFo0KABpkyZoh5k4kX+/v7YunUrTExM1OsGDhyIhg0bYsGCBdiyZYt6fWJiIoYNG4bu3btjx44d+eqbXFZWVvnuNUtMTISVlVWRbZDL5ejYsSMCAgLg6emJbt26afRcRabVj/KWlpbYt28fwsLCEBISgi5dumD8eGk3pZWnnj174uuvv4arqyu8vb1x4cIFLF26FO+99x4AVf+kSZMmYe7cufD09IS7uzumTZsGZ2dn9O7dW7vJExFR4czNgdBQbWeRny7mpYs5VTA7duyAXC7HmDFj1OvMzMwwatQofPHFF7h3716BPQJatWqVb52npye8vb0RHh6eZ/3WrVsRExODr7/+GkZGRkhJSYG5uXm+4tvT0xPJycmIioqCi4sLAODy5csYNmyYRm3Jzs7GrVu3JD9XEWn9I6qrqysGDhyIdevW6XTBDQDLly9Hv379MG7cOHh5eeGTTz7B2LFjMWfOHHXMlClT8NFHH2HMmDF49dVXkZycjEOHDsGMwyoRERGRBi5cuIC6devm69bRokULAKoR4DQlhEBMTAzs7e3zrD9y5Aisra0RFRWFevXqwcrKCtbW1vjwww/zzC1iZWWFXr16YcaMGUhLS8O+ffvwzz//oFevXvmOlZCQgK1btyI5ORnZ2dkIDg7G0aNH0a5duyKfMxTstCZB5cqVERAQgICAgEJjZDIZZs+ejdmzZ5dfYkRERFRhPHz4MM+9Ybly1z148EDjfQUFBSEqKipfXXLz5k1kZ2ejV69eGDVqFObPn4/Q0FAsX74c8fHx+Omnn9Sxq1atwvDhw1G1alXUqFED27dvVw8X2LVrV7Rt2xZffPEFZDIZvv/+e4wbNw5CCHh4eGDr1q3w8fFBYmJioc8ZChbdREREaWlAy5aq5bAwVRcKXZCSAri5qZYjIlTTwWvbi+eKXrq0tLQCB1jI/dY8LS1No/1cu3YN48ePR8uWLTF8+PA8zyUnJyM1NRUffPCBerSSt99+G5mZmVi7di1mz54NT09PAEC1atVw4EDBc1gcPHhQvWxtbY2jR48WGFfUc4ZC691LiIiItE6pBC5dUj1ybo7XGbGxqoeu0OVzVUGYm5vnmTQvV263D3MNPhRGR0eje/fusLGxUfcRf/EYADB48OA864cMGQIACOMHqpeOV7qJiKjCePFmsaLY29vD1dVV9R8zM+D3358tU+F4rsqck5NTgZPGPHz4EADgXMzMwwkJCejatSvi4+Px119/FRjv7OyMK1eu5JvQr3r16gCAp0+fljR9KgSvdBMRkd7LLUaGDh2KZs2aafTw8vJCZGSkagdyOfDmm6rHC1cE6QU8V2XOx8cHN27cyDdU36lTp9TPFyY9PR09e/bEjRs3sG/fPrzyyisFxjVr1gwA8hX3uf3Fnx+6+fHjx+jevTssLS1Rr149hISE5NtfRkYG3nvvPbi6usLa2hqvvfZavqvlq1evRtOmTWFsbIyZM2cW2oaKile6dVgluRyVdOQNzViu+UvFXeIY6+lZWZLid4SdkhS/85elkuKvPDcpgCYO/vOPpPhWnh6S4r2KuaJBZSdRw36Tuf67/1BS/Iqp8yTFt28/uPig51hKnHSrTd16kuJ1SXx8PABgzpw5Go35Gx4ejqFDhyI2NvbZ1W4iHdGvXz8sWbIE69atU4/TnZGRgY0bN8LX11c9XGBqaioiIyNhb28Pe3t7KBQKDBw4EGFhYdizZw9a5va9L8CAAQOwYMECbNiwAW+88YZ6/fr161GpUiW0b99evW78+PFwdHTE48ePceTIEQwYMAA3b95U30wJqIb/c3Nzw/Hjx1GjRg38/PPP6NmzJyIiItRjejs5OWHmzJnYunXryzxdeoNFNxERVRju7u5o2rSp9A2zs4HfflMtd+7MGSmL8uK5opfO19cX/fv3x9SpU/Ho0SN4eHggMDAQERER2LBhgzru9OnT6NChA2bMmIGZM2di8uTJ2Lt3L3r27IknT57kmQwHUH0TlKtJkyZ477338MMPPyA7Oxuvv/46QkNDERwcjKlTp6q7pCQnJ2P37t3477//YGFhgbfeegsNGzbEnj17MHLkSPX+LC0tMX36dPX/Bw0aBH9/f1y/fl19VT13zpLCbsqs6PiuQkRElJEB9OihWuY08EV78VxRmdi8eTOmTZuGH3/8EU+fPkWjRo2wb9++Ise1zh2/+9dff8Wvv/6a7/nni24AWLNmDVxdXbFx40bs2rULtWrVwrfffotJkyapY27evAkrKyvUqFFDva5hw4a4cuVKkfnfvHkTT548gYeHtG93KzK+qxARERkZAc2bP1vWFbqYly7mVAGZmZlh8eLFWLx4caEx7du3hxBC/f9QiTOFGhsbY8aMGZgxY0ahMcnJyfkm6bG2tkZcXFyh26SlpWHo0KGYOnUqbGxsJOVUkbHoJiIiMjcHzpzRdhb56WJeupgTlRkrK6t8N3QmJiaq+2m/KCsrC/3794eHh0ee7ibE0UuIiIiIqBCenp5ITk7OM8rJ5cuX4e3tnS9WqVTi3XffhUwmQ2BgIGQyWXmmqvNYdBMRERFRgaysrNCrVy/MmDEDaWlp2LdvH/755x/06tUrX+zYsWPx8OFDBAcHo1IB90VkZ2cjPT0dCoUiz7KhYNFNRESUlga0bq16SBwqskylpqqmgXdzUy3rAl09V1RmVq1ahQcPHqBq1arw9/fH9u3b1cMFdu3aFfPmzcPdu3exfv16nD59Gvb29rCysoKVlRX++usv9X7mzp0Lc3NzrF+/Hl9//TXMzc3x448/aqtZ5Y59uomIiJRK4OTJZ8u6Qgjg7t1ny7pAV88VlZlq1aoVOszfwYMH1cuimNfozJkzDXJSnFwsuomIiExNgV27ni1T4V7SuQoPD9c41t7enpMYkd5j0U1ERAYrT+GXW9S9MMuslOLQIFSqBORMclISMTExAPKPGV0UCwsLhIeHs/Amvcaim4iIDM7Dhw8BSCv8creh0klITAAAzJkzB926dSs2Pjw8HEOHDkVsbCyLbtJrLLpJ68yMjSXFD23XRlJ88wcPJMU/emE80uJULWSs0sIkpqVLiq9ikSEpXsr5VBhYf0yp7T1586ak+OSn0mbn23YwSFL8Ky4ukuKpcPHx8QCeK/wUClhduAAASG7SBJDL1bEHDhzAtGnT1NsYPIUCyL05rm3bEu/G3d0dTZs2fUlJEek+Ft1ERGSw1IVfSgrQooVqZXIyYGmpjmH3khekpwMdOqiWOQ08kcZYdBMREclkwCuvPFvWFbqYly7mRKQHOE43ERGRhQVw5YrqYWGh7Wye0cW8dDEnHZSRkYHPPvsMzs7OMDc3h6+vLw4fPlzkNmfOnMGECRPg7e0NS0tLuLq6YsCAAbhx40a+2BEjRkAmkxX6eH4GybJQkvaVdvuvv/4aMpkMDRo0KG36WsEr3UREREQv2YgRI7Bjxw5MmjQJnp6e2LRpE7p164ajR4+iTZuC701auHAhTpw4gf79+6NRo0aIjo7GihUr0LRpU/z99995is2xY8fCz88vz/ZCCHzwwQdwc3ODSxnfA1KS9pVm+/v372PevHmwfK7rl75h0U1ERET0Ep0+fRrbtm3D4sWL8cknnwAAhg0bhgYNGmDKlCk4mTu50Av8/f2xdetWmJiYqNcNHDgQDRs2xIIFC7Blyxb1+pYtW6Jly5Z5tj9+/DhSU1PxzjvvSMq3ffv2cHNzw6ZNm8q0faXZ/pNPPsFrr70GhUKB2NhYSe3TFexeQkRElJYGvPmm6qFLU5unpgLe3qqHLk0Dr4vnSofs2LEDcrkcY8aMUa8zMzPDqFGjEBYWhnv37hW4XatWrfIU3ADg6ekJb29vjW7o3bp1K2QyGYYMGVK6BhSjpO0r6fbHjh3Djh07EBAQ8FLbUd54pZuIiEipBI4cebasK4QArl59tqwLdPVc6ZALFy6gbt26sLa2zrO+Rc4IORcvXkTNmjU12pcQAjExMfD29i4yLisrCz///DNatWoFNze3IuMSEhLyrcvIyMh3BdnOzg5GRvmvz5a2fVK2VygU+Oijj/D++++jYcOGhe5TH7DoJiKicnPx4kVYaTC2fbkP02dqCuR+dc9p4IvGc1Wshw8fwsnJKd/63HUPJMwfERQUhKioKMyePbvIuN9++w1xcXHFdi05ceIEOuQO+fickydPYtu2bXnW3blzp8ACvrTtk7L9mjVrcPfuXRzJ/aCnx1h0ExFRuXn99dclxZfbLJCVKgES+8EaLJ6rYqWlpcG0gA8kZmZm6uc1ce3aNYwfPx4tW7bE8OHDi4zdunUrjI2NMWDAgCLjGjdunG+UkMmTJ8PR0RGffvppnvWOjo4F7qO07dN0+7i4OEyfPh3Tpk1DtWrVitynPmDRTURE5WbdunVo1qxZsXGcBZL0mbm5OTIy8s8mnJ6ern6+ONHR0ejevTtsbGzUfaALk5ycjD179qBz586oWrVqkfu1tbXNN+qJra0tnJyc8q0vTGnbp+n2X331Fezs7PDRRx9plJeuY9FNRETlpl69ehpN/V3u3UsUCuD8edVy06Z5poGnF7x4rigfJyenAsfJzv3mxtnZucjtExIS0LVrV8THx+Ovv/4qNn737t0lGrWkpErbPk22v3nzJtatW4eAgIA83U3S09ORlZWFiIgIWFtbw87OrjRNKVcsuknvZCsUkuLrF9BvrCjVKleWFH/8+nVJ8W/kzuSmoXAJff8A4OLduxrHxj16JGnf5eFEAZNAFObsBWmF2cSBvSTFRz18LCn+o/49JcVnSnwtUxlKTy90Gnh6wYvnivLx8fHB0aNHkZiYmOdmwVOnTqmfL0x6ejp69uyJGzdu4MiRI3hFg78ZQUFBsLKywltvvVXq3DVRmvZpuv3t27ehVCrx8ccf4+OPP863D3d3d0ycOFGvRjThkIESRUVFYejQoahatSrMzc3RsGFDnD17Vv28EALTp0+Hk5MTzM3N4efnh5s3b2oxYyIiKpZMBtSqpXro0tTmupiXLuakY/r16weFQoF169ap12VkZGDjxo3w9fVVj8yRmpqKa9euqUcNUSgUGDhwIMLCwhAcHJxvHO6CPH78GEeOHEGfPn1gUcIZQkNDQzUeoxvQvH1A/jZqun2DBg2wa9eufA9vb2+4urpi165dGDVqVInaqy280i3B06dP0bp1a3To0AEHDx5EtWrVcPPmTdja2qpjFi1ahGXLliEwMBDu7u6YNm0aOnfujKtXr6pvECAiIh1jYQFERGg7i/x0MS9dzEnH+Pr6on///pg6dSoePXoEDw8PBAYGIiIiAhs2bFDHnT59Gh06dMCMGTMwc+ZMTJ48GXv37kXPnj3x5MmTPJPhAMDQoUPzHWv79u3Izs7WuGtJTEyMxtO19+nTp8AZIDVtX0Ft1HR7e3t79O7dO9+xc69sF/ScrmPRLcHChQtRs2ZNbNy4Ub3O3d1dvSyEQEBAAL766iv06qX6Gnvz5s1wcHDA7t27MWjQoHLPmYiIiMrf5s2bMW3aNPz44494+vQpGjVqhH379qFdu3aFbnPx4kUAwK+//opff/013/MFFd1BQUGoXr26xjdBhoeH491339Uo9s6dO4VOu16S9r3M7fURi24J9u7di86dO6N///74888/4eLignHjxmH06NEAVC/O6OjoPC98Gxsb+Pr6IiwsrNCiOyMjI89dvImJiWXbECIiIipTZmZmWLx4MRYvXlxoTPv27SGem/QoNDRU8nHCwsIkxb94zJLSpH1FHU/T7V9UknOkK9inW4L//vsPq1evhqenJ3777Td8+OGH+PjjjxEYGAhANbwPADg4OOTZzsHBQf1cQebPnw8bGxv1Q9NZqoiI6CVJTwd691Y9coYt0wlpacCrr6oeujLluq6eKyIdxyvdEiiVSjRv3hzz5s0DADRp0gSXL1/GmjVrih20vihTp06Fv7+/+v+JiYksvImIypNCAezZ82xZVyiVQO7N+roy5bqunisiHceiWwInJ6d8Q/d4eXnhl19+AfBs5qaYmJg805vGxMQUOXyOqalpgTMzERFROTExAXJHUjAx0W4uuo7niqhEWHRL0Lp1a1x/YUzmGzduoFatWgBUN1U6OjoiJCREXWQnJibi1KlT+PDDD8s7XSIi0pSxMZBzfw4Vg+eKqERYdEvwv//9D61atcK8efMwYMAAnD59GuvWrVOPMymTyTBp0iTMnTsXnp6e6iEDnZ2d9XJoGyIiIiJ6OVh0S/Dqq69i165dmDp1KmbPng13d3cEBATkGRtzypQpSElJwZgxYxAfH482bdrg0KFDHKObiEiXKZVA7tTzXl6AEccZKNSL54qINMKiW6IePXqgR48ehT4vk8kwe/ZszJ49uxyzMixyiX8MUzMzyzTeJ6d7UVlZs2K7pPhKxpr/WiclPpWaTpmbNWG+xrFvvtNN0r6lTDEPAH3avCYpXirTSnwL1hlpaUCDBqplTgNftBfPFRFphO/4REREAGBvr+0MCqaLeeliTkQ6jt+fERERWVoCjx+rHrp0lVsX89LFnKjMuLm5qadvp9Jh0U1EREQVjo2NDWQyGY4fP57vOSEEatasCZlMVmiX0VWrVkEmk8HX17fA5zdt2gSZTKZ+mJmZoW7dupgwYQJiYmI0yjEjIwOfffYZnJ2dYW5uDl9fXxw+fLjY7c6cOYMJEybA29sblpaWcHV1xYABA3DjhS50V65cQf/+/VG7dm1YWFjA3t4e7dq1K3CK+dJ6/nxIOee5253NHY9eIn06hyy6iYiIqEIyMzPD1q1b863/888/cf/+/SLnyAgKCoKbmxtOnz6NW7duFRo3e/Zs/Pjjj1ixYgVatWqF1atXo2XLlkhNTS02vxEjRmDp0qV455138N1330Eul6Nbt24FFq3PW7hwIX755Rd07NgR3333HcaMGYNjx46hadOmuHz5sjru7t27SEpKwvDhw/Hdd99h2rRpAIC33npLPfLay1aac14S+nQO2aebiIgoPR0YNUq1vGEDoCsjTqWlAV27qpYPHgTMzbWbD5D/XOmwbt26ITg4GMuWLUOl525c3rp1K5o1a4bY2NgCt7tz5w5OnjyJnTt3YuzYsQgKCsKMGTMKjO3atSuaN28OAHj//fdRtWpVLF26FHv27MHgwYMLze306dPYtm0bFi9ejE8++QQAMGzYMDRo0ABTpkzByZMnC93W398fW7duhclzkxMNHDgQDRs2xIIFC7BlyxZ1+7t1y3vD+YQJE9CsWTMsXboUY8aMKfQYJVXSc14S+nYOeaWbiIhIoQC2blU9dGlqc6US+PNP1UOXpoHXxXNVgMGDByMuLi5Pd4PMzEzs2LEDQ4YMKXS7oKAg2Nraonv37ujXrx+CgoI0PuYbb7wBQFW4F2XHjh2Qy+V5ijYzMzOMGjUKYWFhuHfvXqHbtmrVKk+xCACenp7w9vZGeO5wjoWQy+WoWbMm4uPji2lJyZT0nJeEvp1DFt1EREQmJsC336oenNq8aHp0rtzc3NCyZUv89NNP6nUHDx5EQkICBg0aVOh2QUFBePvtt2FiYoLBgwfj5s2bOHPmjEbHvH37NgCgatWqRcZduHABdevWhbW1dZ71LVq0AABcvHhRo+PlEkIgJiYG9gWMLJOSkoLY2Fjcvn0b3377LQ4ePIiOHTtK2r+mSnrOS0LfziG7lxARERkbA5MmaTsL/aBn52rIkCGYOnUq0tLSYG5ujqCgILz++utwdnYuMP7cuXO4du0ali9fDgBo06YNatSogaCgILz66qv54hMSEhAbG4v09HScOHECs2fPhrm5eZFzegDAw4cP4eTklG997roHDx5IamdQUBCioqIKnCdk8uTJWLt2LQDAyMgIb7/9NlasWCFp/1JIPeclpW/nkFe6iYiIqMIaMGAA0tLSsG/fPiQlJWHfvn3Fdi1xcHBAhw4dAKgmvRs4cCC2bdsGRQHdafz8/FCtWjXUrFkTgwYNgpWVFXbt2gUXF5ci80pLSyvwpsLcGazT0tI0buO1a9cwfvx4tGzZEsOHD8/3/KRJk3D48GEEBgaia9euUCgUyJQ4EZwUUs95SenbOeSVbiIiIqUSiIxULbu6chr4orx4rnRctWrV4Ofnh61btyI1NRUKhQL9+vUrMFahUGDbtm3o0KFDnj7Zvr6++OabbxASEoJOnTrl2WblypWoW7cuKlWqBAcHB9SrVw9GGrx+zM3NkZGRkW99enq6+nlNREdHo3v37rCxsVH3cX5R/fr1Ub9+fQCqGw07deqEnj174tSpU5DJZBodRwop57w09O0csugmIiJKSwPc3VXLnAa+aC+eKz0wZMgQjB49GtHR0ejatSuqVKlSYNwff/yBhw8fYtu2bdi2bVu+54OCgvIV3S1atFCPXiKFk5MToqKi8q1/+PAhAGjUFSMhIQFdu3ZFfHw8/vrrL427b/Tr1w9jx47FjRs3UK9ePWmJa0jTc14a+nYOWXST3pH6qdxYLu2KVVUrK0nxFhJvJPrv0SNJ8RM+LnzIqYLclTAc0+OYGHwfIGn3ku09f15S/Nivx2kc27lhQ0n7Vkgc/cFa4vBsZXHFiMqRhYW2MyiYLualizkVoU+fPhg7diz+/vtvbN++vdC4oKAgVK9eHStXrsz33M6dO7Fr1y6sWbNG4yuoRfHx8cHRo0eRmJiY50bAU6dOqZ8vSnp6Onr27IkbN27gyJEjeOWVVzQ+dm63i4SEBOmJa0jTc14a+nYO+f0ZERGRpSWQkqJ66NJVbl3MSxdzKoaVlRVWr16NmTNnomfPngXGpKWlYefOnejRowf69euX7zFhwgQkJSVh7969LyWnfv36QaFQ5JlgJSMjAxs3boSvry9q1qwJAEhNTcW1a9fyjG+tUCgwcOBAhIWFITg4GC1btizwGI8KuMiTlZWFzZs3w9zcXFKRKZUm57y09O0c8ko3ERERVXgF3Rz3vL179yIpKQlvvfVWgc+/9tprqFatGoKCgjBw4MBS5+Pr64v+/ftj6tSpePToETw8PBAYGIiIiAhseG7SodOnT6NDhw6YMWMGZs6cCUA1ksbevXvRs2dPPHnyRD2RS66hQ4cCAMaOHYvExES0a9cOLi4uiI6ORlBQEK5du4ZvvvkGVhK/2ZWquHP+vB9++AGHDh3Kt37ixImoXLlygdvo2zlk0U1EREQGLygoCGZmZnjzzTcLfN7IyAjdu3dHUFAQ4uLiXsoxN2/ejGnTpuHHH3/E06dP0ahRI+zbtw/t2rUrcrvc8ad//fVX/Prrr/mezy0YBw4ciA0bNmD16tWIi4tD5cqV0axZMyxcuLDQDxfasnr16gLXjxgxotCiG9Cvc8iim4iIKCMDmDBBtbxiBVDAMGRakZ4O9O2rWv7lF92Ynv7Fc6WjEhIS8k2a8qKIiAj1sibdRjZu3IiNGzcCUBWDI0aMKE2KMDMzw+LFi7F48eJCY9q3bw8hRJ51oaGhGu1/0KBBL31CmsJoej6eP+dStiuMPp1DFt1ERETZ2cD69arlgADdKboVCuDAgWfLuuDFc1VOipuaO1eynoyoQoaHRTcREZGxMTB37rNlKlw5n6vc4d9yv+4n0lcsuomIiExMgC+/1HYW+qGcz1V8fDwAYM6cOejWrVux8efOncOYMWPKOCsi6Vh0ExERkc5zd3dH06ZNi41j95KX68U+2FRyLLqJiIiEAHLH8LW3BzjRUeFePFdEpBEW3URERKmpQPXqqmVOA1+0F88VEWmERbcOUuTcoX7//v1ihzui4mUrsiXFZylF8UHPMZd4I9FDCdO0A4BSSMvn8ZMnGsfG5NygFBkZiSpVqkg6jqZiY2IkxWdLGKEhys5O0r6lTgOfKHF4Nk4DX7h79+4BAE6cOIGUlJRi43PH0L148SLsNPg5lzbeKD0d3jnPXfn9dyif+9mXdy7PKygvbeZTUE6a7D8zJR7Ncpb//fdyueT/RMJ7IVFJCCGQlJQEZ2dnGBkVP8m7TLw4cCFp3ZkzZ9CiRQttp0FERERExbh37x5q1KhRbByvdOsgDw8PAKofYlld6U7NzJQUL+Vqrq5d7cvIlnalW+rVUAsTE0nxUj/nluX5vH//Pry9vcv0tSa1vSkZGRrHWunCRCGlIKWtAGBZxmNHZ0n8VshYrvmfkPJ4rZWlxLQ0SfHW5uZllEnJSH0fNK0krTxITk+XFC/1d1fK+/L9+/fRqGFDnXmtpTx9DEs31d/1lIhbsLStpuWM6GVJTExEzZo1i5wx83ksunWQXC4HAFhbW5fZG0YlFt2FMqSiO/f1VZavNantlRtQ0S2lrYB+F93l8VorUxK7kRla0W0k8X2wLIturb3WlErg9m3Vcp06QE53A7kiHbl3CMitK8OyrHJSKIC//lItt20L5NQS5aKQthsKTf9Os+gmIiIiKq20NKBuXdWyNm7GTU8HOnTQzvG13XY9waKbiIiI6GWwsdF2BtpjyG3XEItuIiIiotKytARyZs80OIbcdglYdBMREREZiMjISMRKGLrW3t4erq6uZZiR4WDRTURERGQAIiMj4eXlhdTUVI23sbCwQHh4OAvvl4BFNxEREVFpZWQAY8eqlteuBcp4tKGSiI2NRWpqKrZs2QIvL69i48PDwzF06FDExsYWXXTrQdt1AYtuIiIiotLKzgYCA1XLK1fqdOHp5eWFpk2bvrwd6lHbtYlFNxEREVFpGRsDixY9Wzak42u77XqCRTcRERFRaZmYAJ9+apjH13bb9QSL7goi6ukTSfFWptJmA5M666IukTojYkxCgqT4NImze9Z1dJQUX0nirGJS2iv13JREQprmN+wA0qZGlzpDo1Jie+OSkyXFS531z1rirHyPEhMlxVeXOPOdlBkmSypLka3xzJcySJuN9amEm8MAwEjCbK+VJM6wJ/W1I3UmXDuJk49InWFSqitRUZLifevUkRQvl3D+pcQSlScW3URERESlpVQCDx+qlp2cyn8qdIUCOH9etdy0aflPA6/NtusJFt1EREREpZWWBtSooVrW1jTwLVpo5/jabrueYNFNRERE9DKUcTcenWbIbdcQzxARERFRaVlaAllZ2s5COwy57RKw0w0RERERURnjlW4iIiIiHREZGYnY2FiN4+3t7TlFu55g0U1ERERUWhkZgL+/annp0hLNyhgZGQkvLy+kShj+0sLCAuHh4XCtWlXy8V6al9B2Q8Cim4iIiKi0srOBVatUy4sWlajwjI2NRWpqKrZs2QIvL69i48PDwzF06FDExsZqt+h+CW03BAZfdK9cuRKLFy9GdHQ0GjdujOXLl6NF7pA7L9i5cyfmzZuHW7duISsrC56enpg8eTLeffdddcyIESMQGBiYZ7vOnTvj0KFDZdoOIiIi0iJjY2DGjGfLpeDl5YWmTZtq7fiSafPYesSgi+7t27fD398fa9asga+vLwICAtC5c2dcv34d1atXzxdvZ2eHL7/8EvXr14eJiQn27duHkSNHonr16ujcubM6rkuXLti4caP6/6b8xEdERFSxmZgAM2ca5vG13XY9YdCjlyxduhSjR4/GyJEj8corr2DNmjWwsLDADz/8UGB8+/bt0adPH3h5eaFOnTqYOHEiGjVqhOPHj+eJMzU1haOjo/pha2tbHs0hIiIiIh1lsFe6MzMzce7cOUydOlW9zsjICH5+fggLCyt2eyEE/vjjD1y/fh0LFy7M81xoaCiqV68OW1tbvPHGG5g7dy6qFtHXKiMjAxkZGer/JyYmSm6Pi62dpPhbMTGS4o0lDHpvYWIiad9SJaenS4p/KuGGFACwkziTVqaZmaT4ShKn5k1MS5MUb21urnGsTCYDAKRmZqJSZqZG25hL/OowIVVa/o5Vqmgcm5u/pu7HxUmKr2VvLyn+roQRB0qiurV1me5fqlQNXzMAkFaCMXxjEhMkxUt9H3yclKRxrEIISfuW+tqU+r4j9X1EKqnvs1Lzkbp/K4nvs1ohBJCQ85q1sQEkvgZKTakEwsNVy15e5TsVu7bbricMtuiOjY2FQqGAg4NDnvUODg64du1aodslJCTAxcUFGRkZkMvlWLVqFd5880318126dMHbb78Nd3d33L59G1988QW6du2KsLAwyAt5U5o/fz5mzZr1chpGRERE5S81Fcj9ZlsbU6GnpQENGmjn+Npuu54w2KK7pCpXroyLFy8iOTkZISEh8Pf3R+3atdG+fXsAwKBBg9SxDRs2RKNGjVCnTh2EhoaiY8eOBe5z6tSp8M8dageqK901a9Ys03YQERERUfkx2KLb3t4ecrkcMS90s4iJiYGjo2Oh2xkZGcHDwwMA4OPjg/DwcMyfP19ddL+odu3asLe3x61btwotuk1NTXmzJRERkT6zsAByu1xJ6JJZIRhy2yUw2BspTUxM0KxZM4SEhKjXKZVKhISEoGXLlhrvR6lU5umP/aL79+8jLi4OTk5OpcqXiIiIdJhMphouz9jY8Po0G3LbJTDojyP+/v4YPnw4mjdvjhYtWiAgIAApKSkYOXIkAGDYsGFwcXHB/PnzAaj6Xjdv3hx16tRBRkYGDhw4gB9//BGrV68GACQnJ2PWrFno27cvHB0dcfv2bUyZMgUeHh55hhQkIiIi/SVlqvaMpCfQ/FIeVWQGXXQPHDgQjx8/xvTp0xEdHQ0fHx8cOnRIfXNlZGQkjJ67+zclJQXjxo3D/fv3YW5ujvr162PLli0YOHAgAEAul+Off/5BYGAg4uPj4ezsjE6dOmHOnDnsPkJERFQBFDZVuzGAr3OWvwSQO16PRSUgpRzz04rMTODLL1XLX3+tGreb8jHoohsAJkyYgAkTJhT4XGhoaJ7/z507F3Pnzi10X+bm5vjtt99eZnpERESkQwqbqt0oLQ0+bdoAAN48fhzKnOFb/z3/NzB6vFZyLTdZWcCSJarlmTNZdBfC4ItuIiIiIqnyTdWemQl88gkAwOfVV9WFZ0bSk/JJyNhYfXytTAOvrWPrERbdRERERKVlYgIsXqyVQ4fnToozeLDq38uXi4572bTYdn3CopuIiIhIDz18+BAAMHTo0BJtR+WLRTcRERFRaQkBZGerlitVKpeh8+Lj4wEAc+bMQbcuXWASHQ0AyHR0LHAa+AMHDmDatGnq7V4aLbRdH7Ho1mHZCgWyFQqNYv97/EjSviNj4yTFW+fcEKKJ2KQkSfu2kzhdbGruAPwaOibx6zRbKytJ8d0aN5YUL1VSepqk+IjHjzWOjcm52nE+IgKWGrbbRsJrAQBsJf584yS8fs5FREjadz2nwie+KojU15pM4h+asFu3JMV3adRIUvw1iVez6kucTyApTfPXZnJObFJ6BmQmhc9t8Ly4pGRJ+Vy+f19SfJ3qDhrH3n4UU3zQc16v71V80HOevjASRnF+u3BJUnxzzzqS4qVSKpWS4lOKmN+iIFZmZpLitSI1Fch9Hy3nqdDd3d3R1MsLePXVIo9fZt1LtNh2fWKwk+MQEREREZUXXukmIiIiKi0LC+Dp02fLhsSQ2y4Bi24iIiKi0pLJgCpVtJ2Fdhhy2yVg9xIiIiIiojLGK91EREREpZWZCcybp1r+4gvDmpXRkNsuAYtuIiIiotLKygJmzVItf/qpYRWehtx2CVh0ExEREZVWpUrAuHHPlg3p+Npuu57gmSEiIiIqLVNTYOVKwzy+ttuuJ3gjJRERERFRGeOVbiIiIiJ9JwQQG6tatrfnVOw6iFe6iYiIiEorJQUwNlY9UlLK//ipqUD16qpHamr5HlvbbdcTvNKtw46Gh8PSykqj2C6NGknad1xSsqT4sJs3NY7t1ayZpH0/kfgLWt3aWlJ841q1JMXfjI6WFH8j+qGk+LqOTpLiXWztyiz+vpHqc7ethQWsLC012sa9WjVJ+Ww5HCop/q02vhrHejo6Stp3Rla2pHgLiXfgZysUkuKN5XJJ8QqlUlJ8fSdpr7U7jx9LipfyWshKSgIA2FlawlrD19rtmBhJ+XRuKO19UEp7fVylvY+cvfOfpPg2detJipcbS3vtSH0t/HvvnqT43347KSm+V4/XJcU72NhIiteabGnvMRWKIbddQyy6iYiIiErL3By4f//ZsiEx5LZLwKKbiIiIqLSMjAAXF21noR2G3HYJ2KebiIiIiKiM8Uo3ERERUWllZgLffadanjjRsGZlNOS2S8Cim4iIiKi0srKAKVNUy+PGGVbhachtl4BFNxEREVFpVaoEDB/+bNmQjq/ttusJnhkiIiKi0jI1BTZtMszja7vteoI3UhIRERERlTFe6SYiIiLSd0I8m4nSwoLTwOsgXukmIiIiKq2UFKBKFdVDW9PAW1mpHtqYBl6bbdcTvNKtw9bMWItKlTS7A/jN/Wsl7dvISNrnrSdPEyXFS2Gn4ZTQuWISEiTFz5j0raT4xq9Lm0q6fl9nSfEP4+MlxUfGxUmKb+zqqnFsRs60vWmZmTDKzNRom/AHDyTlU99D2vTZ//twgcaxb330lqR9v9O6taT4jUeOSoq3spb2Wt6++GdJ8dcGd5AU716nhqT4bo0bS4ova6/Wri0p/offQyTFv9epo8axLVp0l7RvS0tp05YP+3K0pPg3fBpKil/xyz5J8WcOnpEU/+6k/pLiz924LSm+Yc2akuK1RuLfJ30RHh5e5PNGaWnwyWn7vXv3ULN+/fJIS++w6CYiIiIqLXNz4MaNZ8sVwMOHDwEAQ4cOLTJOBqBO7jZNm+LqtWtwlXAByFAYfPeSlStXws3NDWZmZvD19cXp06cLjd25cyeaN2+OKlWqwNLSEj4+Pvjxxx/zxAghMH36dDg5OcHc3Bx+fn64efNmWTeDiIiItMnICPD0VD0kfpusq+JzvpmdM2cOzp07V+jj7Llz2H7uHGZu2YKUtDTExsZqN3EdZdBXurdv3w5/f3+sWbMGvr6+CAgIQOfOnXH9+nVUr149X7ydnR2+/PJL1K9fHyYmJti3bx9GjhyJ6tWro3PnzgCARYsWYdmyZQgMDIS7uzumTZuGzp074+rVqzAzMyvvJhIRERGViru7O5o2bartNPRexfgoVkJLly7F6NGjMXLkSLzyyitYs2YNLCws8MMPPxQY3759e/Tp0wdeXl6oU6cOJk6ciEaNGuH48eMAVFe5AwIC8NVXX6FXr15o1KgRNm/ejAcPHmD37t3l2DIiIiIqV1lZwMqVqkdWlrazKV85bbf/+WfDvppbDIMtujMzM3Hu3Dn4+fmp1xkZGcHPzw9hYWHFbi+EQEhICK5fv4527doBAO7cuYPo6Og8+7SxsYGvr2+R+8zIyEBiYmKeBxEREemRzExgwgTVQ8Mb0yuMnLa7LlwITgBfOIP9QBIbGwuFQgEHB4c86x0cHHDt2rVCt0tISICLiwsyMjIgl8uxatUqvPnmmwCA6Oho9T5e3GfucwWZP38+Zs2aVdKmEBERkbbJ5UC/fs+WDen4Ocd++vQpFCHSRhEyJAZbdJdU5cqVcfHiRSQnJyMkJAT+/v6oXbs22rdvX+J9Tp06Ff7+/ur/JyYmoqa+DI9EREREgJkZEBxsmMfPOfad8+eR0ayZdnLQA3pbdAshoFQqIS/hpzl7e3vI5XLExMTkWR8TEwNHR8dCtzMyMoKHhwcAwMfHB+Hh4Zg/fz7at2+v3i4mJgZOTk559unj41PoPk1NTWFqalqidhARERGR7tPLovvatWswNjZGnTqqUSGTk5NhZWUlaR8mJiZo1qwZQkJC0Lt3bwCAUqlESEgIJkyYoPF+lEolMjIyAKju7nV0dERISIi6yE5MTMSpU6fw4YcfSsqPiIiIKpZ//vkHppXtCn2+uEloSL/pXdH96NEjjB07FkqlEn/99RcGDBiAGjVqYO7cubCwsJC0L39/fwwfPhzNmzdHixYtEBAQgJSUFIwcORIAMGzYMLi4uGD+/PkAVH2vmzdvjjp16iAjIwMHDhzAjz/+iNWrVwMAZDIZJk2ahLlz58LT01M9ZKCzs7O6sCciIqIKKDVVNUY3ANy8CeTUJM9/o+7n9yZSs4vfVe6kNJKkpKimgAeA5GRA4mzPpZLT9gZZWagY0wKVDb0puhUKBeRyOapXr47Jkydj8ODBsLCwQLt27TB+/HjJBTcADBw4EI8fP8b06dMRHR0NHx8fHDp0SH0jZGRkZJ7p0lNSUjBu3Djcv38f5ubmqF+/PrZs2YKBAweqY6ZMmYKUlBSMGTMG8fHxaNOmDQ4dOsQxuomIiCoyIYAHD54t50hIfDY1/JEjh4u80n3gwAFMmzZNPSmN3shpuwlUs1NSwXS+6FYqlTAyMlL33b58+TL+/vtvpKWloUaNGjh06FCeOKkmTJhQaHeS0NDQPP+fO3cu5s6dW+T+ZDIZZs+ejdmzZ0vO5UXvT38fFhp2m1mz+6CkfU/o20NS/N7z5yXFS3FX4sxVl+/flxS/d88KSfGdR/4qKX7HriOS4lu085EU37lhI0nxSzbv0Dg2/kkcAOCfG//B3EKzqyJXT16VlM/PG5dLiq9TR/MJGHxz7q8oK5np0ob9SpVLew9q0KaBpHipv7dXJP6uhOcWDBrycnaWFA8Al+/dg1XlyhrFbt64V9K+a9R1kRS/7e+/NY6Nibkjad+pqUmS4g8HukmKf8OnoaR4RbZCUvy5v/+QFL+5obS/eeK5orTCMDMDLlx4tlyARo0awdI2/+R7ufS2e0lO28PDw5E+ZIi2s9FZOj9Od24hnZGRgYEDB6Jz587o0aMHjhw5AiMjI3XXD6VSqc00iYiIyJDJ5YCPj+qhjSEDtSmn7Wn16oHVWOF0/ko3AHz++edwcHCAra0tjh07hjp16iA5ORnvvvuuelZJe3t7ZGVlwdjYWNvpEhERERHloVNXuhUKRYFfOUVGRmLy5MlIS0tTj1hiZWWF/v37o2bNmvjss88AAMbGxhBCIDtbg7sUiIiIiF6WrCxg0ybVwxCngd+0CXZ79+rH1Vwt0ZmiO3fMbZlMhlu3buHu3bvqAvybb76Bg4MDzM3N83Qj8fLywoQJE7B582b89NNPCAwMRJcuXXD69GltNYOIiIgMUWYmMHKk6mGI08CPHAm3WbM4DXwRdOYDiZGREaKiovD+++/j9u3bAIB27dph5MiRaN26NSZOnIj58+fjk08+UU9OY2xsjL59++Ly5cuYNm0aUlNTMX36dLRq1UqbTSEiIiJDI5cD3bo9Wzak4+ccOyEhAYoTJ8r32HpEa1e6X+xG8uDBAwwZMgRWVlY4cOAANmzYgOzsbAwZMgQKhQKffvopHB0d1TdO5rKxscHSpUuxZ88ePHjwAB988EF5NoOIiIhINYLH/v2qhzaGCdbm8XOOfXvZMmSU75H1SrkX3UqlEkqlEjJZ3pEcz5w5g+joaAQHB8PDwwP37t3D/v37UbNmTURFRUEul2PRokUICgrC8ePH8+wPALy9vcu1HUREREREmirXojt3LG0jIyOcOXMG33zzDR49egQAuHfvHrp27YqTJ0+iWbNm+OyzzzBv3jwcO3YMrq6uUCgU6NWrF1599VV8+OGHyMzpL1WSsbmJiIiIiMpTuVasRkZGSEpKwqBBg/Dmm2/i3LlzuHnzJgDA3Nwcy5YtQ/fu3dGuXTtcunQJo0ePhkwmw+HDh7F3r2qShDVr1mDy5MkwMWFXfSIiItIRudPAe3qqlstbSopq6ndLS9Vyecpp+yu9e3Ma+CKU+42U8+bNw927d3H+/Hm4uLiox9UeNWoUFi9ejEaNGmHx4sWoVEmVWnh4ONavX4+OHTsiKysL3t7e7EpCREREukUI4NatZ8vaoI1iH1C33QycBr4oZXKlO7ff9ouioqKwefNmjBgxArVr14aJiQmMjIzU42rPnTsXBw8eRL9+/bBq1SrMnDkT7dq1AwD06dOHE98QERGRbjIzA44fVz20cSOlNuW0/fqGDUjXdi467KVf6RZCqPtZx8TEwNjYGHZ2dgBUQ/wpFAo4OjqqY2Uymfqqdr9+/VCpUiVs3boV+/btQ3x8PL7//nv06dPnZaepF6KjY2FukaZRrIW1haR9t2s3QFK8o42NxrG/Xrggad81c14fmoqOiZMU/+abwyXF167lLCne1MJUUnwVC0tJ8VLZOthqHCuMVB94u/o2Q2Vra422Obj+gKR8Pp79taT4P38J0TjWpJK0t7Ab0Q8lxZuYSevG1qlJY0nxB7MVkuLfeONdSfH2lStLig8ND5cUfzM6WuPY2JgYAECDmjVhreFrrUOvNpLyiYtPlBQf/zhe49je74yWtO/6LepJit+zZqek+JAL/0iKD16+WVJ8YmKspPhvt0rL//L9+5Lirc0177Tw8OlTSft+aeRyoHVr7Rxb23LanmJuzmngi/DSiu7cmyRlMhnS09MxduxYHDp0CK6urnjnnXcwadIkpKeno06dOvjjjz/QqVMnmJubQ6FQQC6XIzw8HNWrV0fv3r3Ru3dvJCUlobLEPxhERERERLqo1N1LcruR5F7dvnLlCr777jukpKRgw4YNeOONN+Dv74+ffvoJrq6u6NChA86ePYvg4GAAgFwux4MHDzB37lxcunRJvV8W3ERERKQ3srOB4GDVI6fbrMHIaXuVw4ehhWmB9Eapr3TnFttKpRLbt2/HO++8g9deew0rV65EkyZN0KNHD9y7dw+LFy9G69atMWnSJMTExGD8+PHYs2cPXFxcEBwcDG9vb9SrJ+3rOCIiIiKdkJEBDMjpupmcDEjs/qbXctpeG4C0DpeGpdRXujMyMjB+/HjMmzcPgwcPhq+vL27fvg1b22f9SpcuXYq7d+/ihx9+gJ2dHb7//nt8++23cHR0REREBJYuXYojR47AxcWltOkQERERlT8jI+D111UPbcwhos3j5xw7qVkz9ukuQqk/hpmamiIuLg7nz5/HgAED8M0336BNmza4ePEiXF1dIZPJ4OjoiEmTJmHTpk1444030K5dO7z//vsvI38iIiIi7TM3B0JDDfP4Oce+ef480ps1004OeqBEH4WOHz+OqKgo9f8XLFiA5ORkrFmzBq1atUK3bt2wePFiREdHq6d7nzZtGuLj47Fu3TokJSW9nOyJiIiIiPSA5KL78ePH6NixIw4cOACRM/i7m5sbBg8ejMOHDyM0NBTr1q1DWFgY9u7dqx6DGwCCg4PxySef8CZJIiIiIjIokovuatWq4dNPP8XOnTtx5coV9fr//e9/MDExwYoVK+Ds7IzPPvsMM2fOxLVr19Qxb7zxBnx8fF5K4kREREQ6Iy0N8PFRPdI0m2PjpUpJAapVUz3Kexr4nLbXHzwYBjYtkCQl6l7y5Zdf4sqVK9i/fz9Sc6YcNTc3x5AhQ/DHH39g8+bNmDdvHjIyMvDgwYOXmjARERGRzlEqgUuXVI8CZuUuF7Gxqkd5y2m7xY0bZTPVeQVRonNjbm6OxYsX4+eff8aZM2fU6+/cuQOFQoH169cjKSkJDx48QKdOnV5askREREQ6ycwM+P131cMQp4H//XfcXLmS08AXocSjlwwYMACrVq3CwoUL8eTJExgZGSEhIQGBgYFwdXXVeJpfIiIiIr0nlwNvvqntLLQjp+1JVatyyMAilLjolslk2Lx5Mz766CN8/PHHyMjIwIwZM9C7d++XmJ5hs7CygLmlhUax//71r6R9v/pGW0nxx05c0Di2TSsfSfuuKvHG2pQEaX3VsrOzJMVXsbSUFG9uYiIpPvcGZE01aeInKf6X37ZqHPswp/uXrZUVrK2sNNrmxo0zxQc9p9mb0oaP8mxUX+NYH88Gkvb95MlDSfF1HZ0kxR+7fl1SvHftWpLiTUykTTtx4W6EpHhPRwdJ8Wcu39A49mnsEwDAxt9CYG6h2e/YH0EhkvJp2auVpPgWTV/ROHb70s2S9u3o7igpvs+E/pLizx46Kyn+8uW/JMWP/2KupHhTC2lXdq8/lPa72KNJE41jszlCGumoUo3TXatWLezevRsXLlxAw4YNYSKx+CAiIiKqELKzgd9+Uy137mxYM1LmtN361i1OA1+ElzINfDMOhE5ERESGLCMD6NFDtWyI08D36AEPcBr4ohjQK4KIiIiojBgZAc2bP1s2pOPnHDslNRXKq1fL99h6hEU3ERERUWmZmwNnpN3zUmGOn3Ps65wGvkgGP5ziypUr4ebmBjMzM/j6+uL06dOFxn7//fdo27YtbG1tYWtrCz8/v3zxI0aMgEwmy/Po0qVLWTeDiIiIiHSYQV/p3r59O/z9/bFmzRr4+voiICAAnTt3xvXr11G9evV88aGhoRg8eDBatWoFMzMzLFy4EJ06dcKVK1fg4uKijuvSpQs2btyo/r+pKXs4ERER6arIyEjEajipTHh4eBlnQxWVQRfdS5cuxejRozFy5EgAwJo1a7B//3788MMP+Pzzz/PFBwUF5fn/+vXr8csvvyAkJATDhg1Trzc1NYWjo7ThooiIiKj8RUZGwsvLSz3DtqYevjjsYVoa4JczxOuRI6ouF+UpNRV4JWcYzKtXAQvNhhx+KXLaXjclhdPAF8Fgi+7MzEycO3cOU6dOVa8zMjKCn58fwsLCNNpHamoqsrKyYGdnl2d9aGgoqlevDltbW7zxxhuYO3cuqlat+lLzJyIiotKLjY1FamoqtmzZAi8vr2LjDxw4gGnTpiE+Pj7vE0olcPLks+XyJgRw9+6z5fKU03YrsN9yUQy26I6NjYVCoYCDQ97JIBwcHHDt2jWN9vHZZ5/B2dkZfn7PJi/p0qUL3n77bbi7u+P27dv44osv0LVrV4SFhUEuL3j0yoyMDGRkZKj/n5iYWIIWERERUUl5eXmhadOmxcYV2r3E1BTYtevZsiHJafvt27eR8ckn2s5GZxls0V1aCxYswLZt2xAaGgozs2dfpgwaNEi93LBhQzRq1Ah16tRBaGgoOnbsWOC+5s+fj1mzZpV5zkRERFRGKlUCDHVW7py2J5w/D4W2c9FhBvstgL29PeRyOWJiYvKsj4mJKbY/9pIlS7BgwQL8/vvvaNSoUZGxtWvXhr29PW7dulVozNSpU5GQkKB+3Lt3T/OGEBEREZHOM9gr3SYmJmjWrBlCQkLQO+eTqVKpREhICCZMmFDodosWLcLXX3+N3377Dc1zB6Evwv379xEXFwcnJ6dCY0xNTQsc4aS376uwtrYuvjEAalST1mc85MBJSfFpyWkax4ZHSPvQcGj/cUnxXbq3kRQfcTlCUryHQ/6Ra4qiUErrOyc3kkmKP3HqgKT4rOxsjWPTLS0BAFFPnyJRw+3e+9xfUj59u74uKf7C3QiNYxu+XvSH3hc9SUmRFG+Xc340VU/iDdQKif0+Ow/rJik+MS1dUvz18AhJ8cYmmv8JUWSprn919W2Gyhq+r3V5Tdp4v9bm0m7hqmKh+c93wMShkvatUEj72R7acFDi/jX/PQeApT//JCleqZD2vmZtV1lS/OPoOEnxyemav5ZTnuuuWa4UCuCvv1TLbdsChXQprZBy2m5144bhXs3VgMEW3QDg7++P4cOHo3nz5mjRogUCAgKQkpKiHs1k2LBhcHFxwfz58wEACxcuxPTp07F161a4ubkhOjoaAGBlZQUrKyskJydj1qxZ6Nu3LxwdHXH79m1MmTIFHh4e6Ny5s9baSURERGUsPR3o0EG1nJwMSPzQrtdy2l4X4OglRTDoonvgwIF4/Pgxpk+fjujoaPj4+ODQoUPqmysjIyNh9NxUqqtXr0ZmZib69euXZz8zZszAzJkzIZfL8c8//yAwMBDx8fFwdnZGp06dMGfOHI7VTUREVJHJZM+G7JNJ+0ZT74+fc+y09HSI//4r32PrEYMuugFgwoQJhXYnCQ0NzfP/iIiIIvdlbm6O33777SVlRkRERHrDwgK4csUwj59z7PDz55HGaeALxa43RERERERljEW3Dou+fr7A9Q/DzyAxhiOcECkSHiH7QcHj6mc/uAZFwqNyzoiInpf1NBrpkVcLfC774XUoEvk7SobD4LuX6DJZ9y54+OefcPLyVa97GH4Ksg7tEW1jBhz7B9YONbWWH5E2ZT6Nhu/UMbBNzsSBBd/A2PnZTHJZD8LR7fPJeGplglPz10FuI21EGiIqvayn0Xjlg8GwTcrEsdVrYVarwbPnHlxDjy8+wVMrY4TNWwu5dQX4HU1LA956S7W8d692poF/9VXV8pkz5T8N/FtvwSMpSfKNlJGRkYiNjdU43t7eHq6urhKPohtYdOsw16cKPO3QHg+PhsLJy1ddcNeKy8ZdpCPlSTSLbjJYysQ42CZnwv2JAt0+n6wuvHMLbvcnCgCZEClPABbdROVOkfQEtkmZcHuiAD4cqy680+9eRo8vPsn5HQVEylOgIhTdSiVw5Miz5fImBHD16rPl8pTTdmtI60IRGRkJLy8vpKamaryNhYUFwsPD9bLwZtGtwyJt5WgQl427HdrjytrvUHXsRFXBXbUSxNFQOHm9qu0UibTGrJY3Diz4Rl1gd/t8Mg5OHIdu362C+xMF7tjJcwrx+tpOlcggmbm+gmOr1wIfjlUX3ke//AQdvl4Ct5zf0X3zlsDYqZ62U305TE2BLVueLRuSnLbfuXMHGdOmabxZbGwsUlNTsWXLFnh5eRUbHx4ejqFDhyI2NpZFN71cYv8B3O3ZHbXislGr33gAeK7g9i1ma6KKz9jZK0/hPW7GcgB4ruAu/k2ciMqOWa0GeQrvkZMXAsCzgrsifSiuVAl45x1tZ6EdOW1/ev48FNOmITw8XKPNcuO8vLzQtGnTssxQJ7Do1mGO9Zrj3trv1AU3AMSt/Q7eLLiJ1IydvXBw4jh1wQ0AByeOY8FNpCPMajXA0S8/URfcALD/4w8rVsFNAICHDx8CAIYOlTaDa+52FR2Lbh0Wff0sqo6dmGdd1bET8bBuY17pJsqR9SAc3b5blWdd1+9W4cCCOiy8iXRA+t3L6PD1kjzrui9bjX3z6lSswluhAM7njDrWtKnhTQN//jyMzp2DEYBZc+agW7duxW524MABTJs2DfHx8WWeoi5g0a3LundFradKRNjJceyrT9Fu7mK4xWUjov3r+GXt9zB3a1jiXbf0ay4p3szYWOPYq+HSZqM69NNOSfFyY2lvZC6eLpLi7zx+LCne0aaKpHinKtLiD/3zj6T4r8fP0Tg2PV1180oNOztYW1trtE2t+tL60Y0f/pWk+Pv3r2scu3r5J6gx9RPUeqLA3aqVcH3JXNT75Cu4x2Wjx9RPcP+XXbDzfPaVpV0ZT8t8MyZaUnybutL6slarUU1SvFMVG0nxS7/9WlJ8bOx9jWOzszMBAIE/H4SZhqM6hO0/ISmfAwfWSou/dEnj2CGd2kva95OUFEnxnw4dJCk+PV3a/rOzsyTFdxnRXVK8qUXBfZgz7l2B38QJcHuiQISdHIenTMKbiwLg/kSBnl98gis/bkXlOo2L3X9VKyuNc0nT1vTr6elAixaqZUOcBr5FC3SFahp4d3d3jbqLaNoNpaLgON06LLfgPrn2e1Ru2xcn136PCDs53J4o0GrsaKTd1eLMV0RaZidPRI2+fdQ3F9//ZRdqdnoX93/ZhbtVK6FWXDZq9O2Dp7cuaDtVIoOUeS88T8F95LsVMHutF458t0L9t8z73SFIuiPtwoLOksmAWrVUD21NA6+t4+ccO9neHuU8bopeYdGtw+7aGuHkc1e0zd0aqgvvp5VNILeuquUMibQnTWmCeGtTdcGde0XbzrOpuvCOtzaFaZUKMBQZkR4yqmyHp5VN1AW3aU1vAIBpTW9c+XErIuzkiLc2hbG1tG9wdJaFBRARoXqU5xjZunD8nGPvCQhAWvkeWa+we4kOO/XdSlR9oQuJuVtDnFy3AXLrqjCxddRSZkTalybMkL37KKLiH8HOo0me5+w8myJq526YVqkOC3tp3YuI6OWoVMUBF7/bDGXSE5jWzHt/ReU6jXEl6CcYW1eDWVUnLWVIVL5YdOsw85oF32BiXsu7nDMh0k0W9i6FFtW2LxTiRFT+KlVxAKo4FPhcZfdG5ZwNkXax6CYiIiIqrfR0YFDODbHbtgFmUidEL6W0NKBdO9XysWPlOw19Ttvb3b8PA5sWSBIW3URERESlpVAAe/Y8Wy5vSiVw9uyz5fKU0/aaAAxooETJWHQTERERlZaJCbBu3bNlQ5LT9r9PnULmhg3azkZnsegmIiIiKi1jY2D0aG1noR05bb9tYYFsFt2F4pCBRERERERljFe6iYiIiEpLqQRyZ1j08gKMDOi6Zk7bbe7fhxamBdIbLLp1mIudHawqV9Yotrm7u6R9n71zR1J8dQ2nCAeAGna2kvZ9/Yzm034DgFdzaVNn9331VUnxx65Ly6dJrSqS4hUSb3CpInGSgz2HNmkcGxUVhUb1DsC0UiWYVtLs7aB/7jTHGrKcL+1e9ju3NZ9a3MvZWdK+pfr33j1J8VKndZeqloO0SUQa1KghKb5DL2lTf3u19Co+KMeTx48wqX8/jBzYDZU1fD9p11Haay38wQNJ8d0aFz/9eK5zERGS9h1y9LSk+G3H/5QUf+dGpKT4115tWHzQcxxsbCTFh166LCm+Xb2y/V3RirQ0oEED1bKhTQOf0/YeAMpxzBS9w6KbiIiI6GWwtzfc49vbIz0jA0hK0l4OOs6AvvsgIiIiKiOWlsDjx6qHNq5ya/P4Ocf+ZfVqpJbvkfUKr3QTERFRhXPx4kVYWVkVGxee2w+bqIyx6CYiIqIK5/XXX5cU//DhwzLKhEiFRTcRERFVOOvWrUOzZs2KjTtw4ACmTZuG+Pj40h0wPR0YNUq1vGGDdqaB79pVtXzwYPlPAz9qFFpFRHAa+CKw6CYiIqIKp169emjatGmxcS+te4lCAWzdqlrOnZmyPCmVwJ9/PlsuTzltdwengS8Ki24iIiKi0jIxAb799tmyIclp+9lz55C5ZYu2s9FZLLqJiIiISsvYGJg0SdtZaEdO268HBSGbRXehOGQgEREREVEZM/iie+XKlXBzc4OZmRl8fX1x+nThs4h9//33aNu2LWxtbWFraws/P7988UIITJ8+HU5OTjA3N4efnx9u3rxZ1s0gIiIibVIqgYgI1aO8+1RrW07bLR8/Lpdp4MPDw3H+/HmNHpGR0mZvLUsG3b1k+/bt8Pf3x5o1a+Dr64uAgAB07twZ169fR/Xq1fPFh4aGYvDgwWjVqhXMzMywcOFCdOrUCVeuXIGLiwsAYNGiRVi2bBkCAwPh7u6OadOmoXPnzrh69SrMyvtOZiIiIiofaWmAu7tq2RCngXd3R2+U7TTwucM6Dh06VONtzMzMsGPHDjg5OWkUb29vD1dX1xLlVxyDLrqXLl2K0aNHY+TIkQCANWvWYP/+/fjhhx/w+eef54sPCgrK8//169fjl19+QUhICIYNGwYhBAICAvDVV1+hV69eAIDNmzfDwcEBu3fvxqBBgyTl51atGqytrUvYuqK9kvMhQVPLf9ypceywvl0k7fvTT0dIinetWlVSvFTt6tWTFC+EkBQvN5L2BdNrHh6S4qVItbAos33n6ta4saT4uDp1yigT6T+rhjVrllEmJdOmrrTXplTDhveUFP/Lnj80jk14GgcAqG5jo/H7WnWJ738yWdldY2vm5iYpvt5gR0nxa37eJyneorK0392yfB8BAItXix8lxCCUw3uqzh7fwgLZCgWQkVFmh8gd1nHOnDno1q1bsfF//fUXJk2ahB49emh8DAsLC4SHh5dJ4W2wRXdmZibOnTuHqVOnqtcZGRnBz88PYWFhGu0jNTUVWVlZsLOzAwDcuXMH0dHR8PPzU8fY2NjA19cXYWFhhRbdGRkZyHjuRZqYmFiSJhEREZG2WFoCKSmGefycY28PCkKqhKvQJeXu7i5pOEhNi/Tw8HAMHToUsbGxLLpfptjYWCgUCjg4OORZ7+DggGvXrmm0j88++wzOzs7qIjs6Olq9jxf3mftcQebPn49Zs2ZJSZ+IiIiINKBpkV7WDP5GypJasGABtm3bhl27dpW6r/bUqVORkJCgfty7d+8lZUlEREREusBgr3Tb29tDLpcjJiYmz/qYmBg4OhbdF2/JkiVYsGABjhw5gkaNGqnX524XExOTp8N+TEwMfHx8Ct2fqakpTE05cSoREZHeysgAJkxQLa9YAZT33/X0dKBvX9XyL7+U7zT0OW33vXULBjYtkCQGe6XbxMQEzZo1Q0hIiHqdUqlESEgIWrZsWeh2ixYtwpw5c3Do0CE0b948z3Pu7u5wdHTMs8/ExEScOnWqyH0SERGRnsvOBtavVz2ys8v/+AoFcOCA6qFQlO+xc9ruERpquFdzNWDQ58bf3x/Dhw9H8+bN0aJFCwQEBCAlJUU9msmwYcPg4uKC+fPnAwAWLlyI6dOnY+vWrXBzc1P307aysoKVlRVkMhkmTZqEuXPnwtPTUz1koLOzM3r37q2tZhIREVFZMzYG5s59tmxIctp+8dIlZAUHazsbnWXQRffAgQPx+PFjTJ8+HdHR0fDx8cGhQ4fUN0JGRkbC6Lnh3VavXo3MzEz069cvz35mzJiBmTNnAgCmTJmClJQUjBkzBvHx8WjTpg0OHTrEMbqJiIgqMhMT4MsvtZ2FduS0/UpQEIvuIhh00Q0AEyZMwITcPlgvCA0NzfP/iIiIYvcnk8kwe/ZszJ49+yVkR0RERETlKXeoweIkJydL2q/BF91EREREpSYEEBurWra3B8pwsiadk9N2Uz2fZ6QkM15KwaKbiIiIqLRSU4Hq1VXLhjYNfE7b+wHQ8pycpSJ1xstz585hzJgxGu+fRbcOyp2qOikpSeNtKkm8Uzk1M1NSfHpaqsaxSRI/6WYplZLiE3XsBhWpU4uX5VTVUuXOfqpLs6AmSfi6zljia0eff1blIVnCew4g7X0hPS0NgLTXmj7/vJLT0yXFSzmXACCTSwov899xqe/75mX4s8pt68WLFzWKz+1KEB4ejmPHjpU43ig9HbmDCP9z4gSUOfdy3bhxE7ln53RYGEysbMskl+PVqhV4/Je1/6Lin2+7KIP9l3d8enq6Rl1H0nLe1zR9r5IJqe9qVObu37+PmjVrajsNIiIiIirGvXv3UKNGjWLjWHTrIKVSiQcPHqBy5co6c+UmMTERNWvWxL1792Btba3tdPJhfiWjUChw69YteHh4QC7X/NKZrranPLDtJWu7pq81Qz6/ukgffx58rZU9njsVIQSSkpLg7OycZ7S7wrB7iQ4yMjLS6BOTNlhbW+v0Lxjzk+7VV18t8ba62J7ywrZLb7uU15ohn19dpG8/D77WygfPHWBjY6NxrMHOSElEREREVF5YdBMRERERlTEW3aQRU1NTzJgxA6amptpOpUDMr3xVtPZIwbaXbdsN+fzqoor886jIbStrPHclwxspiYiIiIjKGK90ExERERGVMRbdRERERERljEU3EREREVEZY9FNRERERFTGWHRTiXz99ddo1aoVLCwsUKVKFW2ng5UrV8LNzQ1mZmbw9fXF6dOntZ0SAODYsWPo2bMnnJ2dIZPJsHv3bm2nVCIREREYNWoU3N3dYW5ujjp16mDGjBnIzMwscrv27dtDJpPleXzwwQfllHXJSX09BQcHo379+jAzM0PDhg1x4MCBcsr05Zk/fz5effVVVK5cGdWrV0fv3r1x/fr1IrfZtGlTvp+vmZlZsceaOXNmvu3q16+vfj49PR3jx49H1apVYWVlhb59+yImJqbUbaRnintvEkJg+vTpcHJygrm5Ofz8/HDz5s08MU+ePME777wDa2trVKlSBaNGjUJycnI5tqJ4Un6Xv//+e7Rt2xa2trawtbWFn5+fzvwt0QYp527nzp1o3rw5qlSpAktLS/j4+ODHH38sx2z1A4tuKpHMzEz0798fH374obZTwfbt2+Hv748ZM2bg/PnzaNy4MTp37oxHjx5pOzWkpKSgcePGWLlypbZTKZVr165BqVRi7dq1uHLlCr799lusWbMGX3zxRbHbjh49Gg8fPlQ/Fi1aVA4Zl5zU19PJkycxePBgjBo1ChcuXEDv3r3Ru3dvXL58uZwzL50///wT48ePx99//43Dhw8jKysLnTp1QkpKSpHbWVtb5/n53r17V6PjeXt759nu+PHj6uf+97//4ddff0VwcDD+/PNPPHjwAG+//Xap2kd5FffetGjRIixbtgxr1qzBqVOnYGlpic6dOyM9PV0d88477+DKlSs4fPgw9u3bh2PHjmHMmDHl1YRiSf1dDg0NxeDBg3H06FGEhYWhZs2a6NSpE6Kioso5c+2Teu7s7Ozw5ZdfIiwsDP/88w9GjhyJkSNH4rfffivnzHWcICqFjRs3ChsbG63m0KJFCzF+/Hj1/xUKhXB2dhbz58/XYlb5ARC7du3SdhovzaJFi4S7u3uRMa+//rqYOHFi+ST0kkh9PQ0YMEB07949zzpfX18xduzYMs2zrD169EgAEH/++WehMSX9/Z8xY4Zo3Lhxgc/Fx8cLY2NjERwcrF4XHh4uAIiwsDDJx6LivfjepFQqhaOjo1i8eLF6XXx8vDA1NRU//fSTEEKIq1evCgDizJkz6piDBw8KmUwmoqKiyi33opT2b0N2draoXLmyCAwMLKsUddbL+LvapEkT8dVXX5VFenqLV7pJr2VmZuLcuXPw8/NTrzMyMoKfnx/CwsK0mFnFl5CQADs7u2LjgoKCYG9vjwYNGmDq1KlITU0th+xKpiSvp7CwsDzxANC5c2e9f/0lJCQAQLE/4+TkZNSqVQs1a9ZEr169cOXKFY32f/PmTTg7O6N27dp45513EBkZCQA4d+4csrKy8pzT+vXrw9XVVe/Pqb64c+cOoqOj8/wMbGxs4Ovrq/4ZhIWFoUqVKmjevLk6xs/PD0ZGRjh16lS55/yil/G3ITU1FVlZWRq9z1UkpT13QgiEhITg+vXraNeuXVmmqncqaTsBotKIjY2FQqGAg4NDnvUODg64du2alrKq+G7duoXly5djyZIlRcYNGTIEtWrVgrOzM/755x989tlnuH79Onbu3FlOmUpTktdTdHR0gfHR0dFllmdZUyqVmDRpElq3bo0GDRoUGlevXj388MMPaNSoERISErBkyRK0atUKV65cQY0aNQrdztfXF5s2bUK9evXw8OFDzJo1C23btsXly5cRHR0NExOTfPeK6Ps51Se557mo13V0dDSqV6+e5/lKlSrBzs5OJ35OL+Nvw2effQZnZ+d8H6orupKeu4SEBLi4uCAjIwNyuRyrVq3Cm2++Wdbp6hUW3aT2+eefY+HChUXGhIeH57nhifRbSX7mUVFR6NKlC/r374/Ro0cXue3z/TsbNmwIJycndOzYEbdv30adOnVKlzyVmfHjx+Py5ct5+lkXpGXLlmjZsqX6/61atYKXlxfWrl2LOXPmFLpd165d1cuNGjWCr68vatWqhZ9//hnm5ualbwBRKS1YsADbtm1DaGioRjcHE1C5cmVcvHgRycnJCAkJgb+/P2rXro327dtrOzWdwaKb1CZPnowRI0YUGVO7du3ySUZD9vb2kMvl+UY2iImJgaOjo5ay0h9Sf+YPHjxAhw4d0KpVK6xbt07y8Xx9fQGorpTrYtFdkteTo6NjhXr9TZgwQX1TXFFXqwtibGyMJk2a4NatW5K2q1KlCurWrYtbt27hzTffRGZmJuLj4/Nc7dbnc6pvcs9zTEwMnJyc1OtjYmLg4+Ojjnnxprrs7Gw8efJEJ35OpfnbsGTJEixYsABHjhxBo0aNyjJNnVTSc2dkZAQPDw8AgI+PD8LDwzF//nwW3c9hn25Sq1atGurXr1/kw8TERNtp5mFiYoJmzZohJCREvU6pVCIkJCTPFTgqmJSfeVRUFNq3b49mzZph48aNMDKS/vZx8eJFAMjzh1yXlOT11LJlyzzxAHD48GG9e/0JITBhwgTs2rULf/zxB9zd3SXvQ6FQ4N9//5X8801OTsbt27fh5OSEZs2awdjYOM85vX79OiIjI/XunOord3d3ODo65vkZJCYm4tSpU+qfQcuWLREfH49z586pY/744w8olUr1h2ttKunfhkWLFmHOnDk4dOhQnv7qhuRl/V1VKpXIyMgoixT1l7bv5CT9dPfuXXHhwgUxa9YsYWVlJS5cuCAuXLggkpKSyj2Xbdu2CVNTU7Fp0yZx9epVMWbMGFGlShURHR1d7rm8KCkpSX1uAIilS5eKCxcuiLt372o7NUnu378vPDw8RMeOHcX9+/fFw4cP1Y/nY+rVqydOnTolhBDi1q1bYvbs2eLs2bPizp07Ys+ePaJ27dqiXbt22mqGRop7Pb377rvi888/V8efOHFCVKpUSSxZskSEh4eLGTNmCGNjY/Hvv/9qqwkl8uGHHwobGxsRGhqa5+ebmpqqjnmx7bNmzRK//fabuH37tjh37pwYNGiQMDMzE1euXCnyWJMnTxahoaHizp074sSJE8LPz0/Y29uLR48eCSGE+OCDD4Srq6v4448/xNmzZ0XLli1Fy5Yty6bhBqq496YFCxaIKlWqiD179oh//vlH9OrVS7i7u4u0tDT1Prp06SKaNGkiTp06JY4fPy48PT3F4MGDtdWkfKT+Li9YsECYmJiIHTt25Pkd0MbfNW2Teu7mzZsnfv/9d3H79m1x9epVsWTJElGpUiXx/fffa6sJOolFN5XI8OHDBYB8j6NHj2oln+XLlwtXV1dhYmIiWrRoIf7++2+t5PGio0ePFniehg8fru3UJNm4cWOB7Xj+c/udO3fyvAYiIyNFu3bthJ2dnTA1NRUeHh7i008/FQkJCVpqheaKej29/vrr+X5+P//8s6hbt64wMTER3t7eYv/+/eWccekV9vPduHGjOubFtk+aNEl9nhwcHES3bt3E+fPniz3WwIEDhZOTkzAxMREuLi5i4MCB4tatW+rn09LSxLhx44Stra2wsLAQffr0yfMBj0qvuPcmpVIppk2bJhwcHISpqano2LGjuH79ep59xMXFicGDBwsrKythbW0tRo4cqXMFqpTf5Vq1ahV4TmbMmFH+iesAKefuyy+/FB4eHsLMzEzY2tqKli1bim3btmkha90mE0KIMr6YTkRERERk0Ninm4iIiIiojLHoJiIiIiIqYyy6iYiIiIjKGItuIiIiIqIyxqKbiIiIiKiMsegmIiIiIipjLLqJiIiIiMoYi24iIiIiojLGopuIiIiIqIyx6Ca9wclTqbwoFAptp0AGQKlUajsFIipHLLpJZz3/B0kIAZlMpsVsyBDcvn0bWVlZkMvl2k6FKjAhBBQKBYyMVH+CMzMztZwRVWS5rzfSPhbdpJPmzp2LKVOmqP8vk8mgVCrx+eef49SpU1rMjCqq1atXY+DAgbh8+TLu3LmDfv36IS4uTttpUQUkk8kgl8tx7949fPzxx/jhhx+Qnp6u7bSoArp27Rr+++8/9YWE5ORkLWdk2Fh0k06qXLkyAgICcPnyZfW6Q4cOYe/evWjcuLEWM6OKJvcblbfffhtyuRzvvvsu6tevD1NTU5ibm2s5O6qoFixYgLp16yIqKgpVqlThBzx66R49eoSxY8dixIgRAIABAwZg+vTpSE1N1W5iBkwm2FGWdJAQAq+99hpcXFzw008/wdTUFGPHjkVSUhK2bt0KpVKp/mqWqCRyv96XyWQQQuDWrVt4/fXXER8fj5kzZ+b5poXoZTp37hxGjBiBOXPmoHfv3tpOhyoYhUKhvrK9d+9eDB48GEIItGvXDitXrkSdOnW0nKHhYtVCOiM7O1u9LJPJsGDBAuzevRuHDh0CAJw6dQq9evUCABbcVCpKpRJyuRwymQxhYWE4cOAAatWqhc2bN6Nt27bqLia5sURSFdSPNvf/e/fuhRACbdq0yRPPa2BUGrnvVbkF9+XLl/H3338jLS0N9vb2OHToEOrUqcP3NC1i5UJal/sGUKlSJQDAkSNH8OTJE3To0AH9+/fH4sWLcfz4cZiamqJHjx7aTJUqCCMjI0RFRaFr167o27cvfvrpJzx+/Bh+fn4YNmwYLl++jL1796pjWQyRFEqlUt1vOz4+Hr///juio6PVN0zGxsbC3Nwc9vb26kJcJpOpv3UhKonci1EZGRkYOHAgOnfujB49euDIkSMwMjLC/PnzAfBCgjax6Caty32j2LBhA5ycnPDNN9/gyJEjAICFCxfin3/+Qb9+/XD9+nV88MEH2LJlC+Lj47WYMem7yMhI9O/fH5aWljh9+jQCAgLg4uICAHjnnXdQt25d/Pbbb7hw4QIAcOQckiT3PW3GjBnw8PDAlClT4Ofnh3HjxgEAevTogfPnz+P8+fN5RsqJi4vD/v37tZIzVQyff/45Vq1aBVtbWxw7dgytWrVCixYt8O6772Lp0qWIjY1FpUqVkJWVpe1UDRKLbtKq3Ks6y5Ytw9y5czFnzhwEBgaiY8eOAAA3NzfMnDkTjx49wmeffQYbGxtMnToVDRo0wJtvvon33nsPT58+1WYTSIcplcoCr+pcvXoVERER2LFjB2rUqAGlUomsrCxERUUBAD766CPExsZi3bp1iIuLw+zZs7Fhw4byTp902ItXpF/sSvLDDz9g9+7d2LJlC86cOYNNmzYhMDAQy5cvR8OGDdGjRw8MGTIEjx49Qnp6OjIzM7Fs2TLs2bMHDx8+LM+mkB5SKBQFfisSGRmJyZMnIy0tTd1328rKCv3790fNmjXx2WefAQCMjY0hhMjTrZPKXiVtJ0CGJfcGyNxxt2UyGbKysrBt2zYMHjwY77//fr4xuceMGYPly5cjPj4eK1asUF/9Pnv2LORyOWxtbbXYItJVQgj1FcerV68iNjYWLVu2hLGxMZycnJCQkIAvvvgCMTExyMjIwKlTp5CWloa1a9eie/fu6Nu3L4KDg9GgQQMolUoEBwdruUWkK54+fQpbW1vcvXsXu3btwnvvvQdra2tERETAzc0NaWlpWLFiBcaPH48uXbrg0qVLmDp1KqytreHg4IAaNWpg+fLl6NKlC1q0aIF69erh7t27SE9Px6ZNm+Dk5KTtJpIOy70nBQBu3boFY2NjuLq6QiaT4ZtvvsHRo0dhbm6eZ8ABLy8vTJgwAWPHjoWfnx8yMzOxdetWzJgxA61atdJmcwyLICoH2dnZhT536dIlUaNGDbF///5CY4KCgoSJiYn466+/yiI9qkCUSqV6OT09XQwZMkTY2NgIR0dH8fbbb4uzZ88KIYT4/vvvRYMGDcSIESPE0qVLxR9//CF69+4tmjZtKoQQIi0tTdy8eVP8/vvvWmkH6abAwEDRoUMHcenSJREcHCysrKxEYGCgGDBggJDJZOK///4TQgjx9ttvi7Vr14oJEyYIKysr8cEHH4jo6GghhBBZWVlCCCEiIiLEjh07xFdffSXWrFmjtTaR/rl//77o0qWL8PT0FJ6enmLUqFHi+PHjQggh5s+fL6ytrcXNmzfzbBMfHy/+97//iTp16ggnJyexevVqbaRu0Fh0U7n66aefxMCBA8WUKVPEoUOH1OurVKkiFixYIIQQQqFQqNc/ePBApKamCiGEaNiwoZg5c2b5Jkx6a8+ePWLp0qXi/fffF7dv3xY7duwQ7du3F7169RJJSUlCiGevtdwPhYsWLRKdOnUSaWlpWsubdNvRo0dFo0aNxIwZM4QQqvclmUwm2rdvL27fvi2EECI5OVl07dpVmJmZibZt24rLly+rt793756YMmWKSElJ0Ub6pIeev5AghBBRUVGiXbt2ol+/fuLmzZvi2LFjYvjw4cLV1VVkZ2eL7OxsUbduXfHee+8VuL/nX49Uvtinm16qlJQUdO3aFYcPH863fsCAAZgwYQKcnZ1x5MgRjBgxQn039bhx47BkyRLcv39f/XWYUqnE5s2b8fvvvwMAjh8/jhkzZpRvg0jnKZXKfH0b//zzT3zxxRdYtGgR2rZti9q1a6Nv374YNWoUHj58iNWrVwN4NopJVFQUli5diqVLl6Jfv34wMzPTRlNIhymVSmRnZ6N9+/bo2rUrjh07hsmTJ6Nq1aqwsbHBkCFDULt2bQCApaUlBgwYAHt7ewwbNgze3t4AVMOibtmyBZcuXUJERIQWW0P6IPeelBdv5D5z5gyio6MRHBwMDw8P3Lt3D/v370fNmjURFRUFuVyORYsWISgoCMePH8+zPwDq1yNpgbarfqp4WrduLVq3bq2+Qi2EECdOnBANGjQQf//9txBCiISEBBEQECBMTEzEP//8I9LS0oS3t7fw9fUVX331ldi/f7/o1KmT8PDwUH9lRvSi57stvXh1etq0aaJy5cpi586d6nVPnjwR48aNE6+99pq4ffu2iIuLEzNnzhTe3t7Cw8ND7N69u9xyJ/3x/JXGxMREsWfPHtGqVSsxduxYIYQQH330kWjRooX6/S3XwIEDRd26dUXPnj3F3LlzRePGjYWbm1ueb/mICvL8N76nT58WS5YsETExMUIIIZYvXy4mTpwoTpw4IZo2bSpq1Kgh1q1bl++buzZt2ogGDRqIjIyM8m8AFYhFN700ub/oV69eFSYmJmLDhg3q51auXCns7OzyxGdlZYnWrVuLPn36CCGE+O+//8SkSZNE06ZNhbe3txg6dKhITEwsvwaQXkpKShIffviheOutt8TMmTPFyZMnhRBC/Pvvv6JDhw5i0KBBIj09XR3/+++/iw4dOoiJEycKIYQICwtjsU3FUiqVYtKkScLS0lIMHTpUVK9eXVSpUkX8+uuv4vHjx6JWrVpi6tSpIiEhQb3N48ePxc8//yyGDRsmevfuLWbNmqXFFpC+SUxMFAMHDhQ2NjZi8ODB6gtQ69evFzKZTFSpUkVMmjRJxMXFCSFUr9Hff/9dfaHh8uXLYuPGjdpKnwrAoptKTalU5rtR8ssvvxQuLi7i4cOHQgghtmzZIl555RVx5swZIcSzAn39+vXCzc1NPHr0SL1tQkKC+hM90fOev/ojhBDHjx8XTk5OonPnzmLy5MmiefPmwtbWVvz7779CCCECAgJEixYt8vzhUSgUwt/fX9SvX1/cunWrPNMnPbZnzx5Rs2ZNcfLkSfH06VNx9epV4enpKbp16yaSkpLEt99+K+rXry8OHjwohFC9Lz59+lS9fe7Nk0Sa+vzzz9XfyqWnp+d5/6tXr57o379/ntfVlStXxIABA8TatWtFZmamNlKmYrBPN5Va7sxrN2/exHvvvYd58+ZhwoQJAIBvv/0WAODh4QE7Ozvs3r0bwLNpaq9duwYnJydYWVmp+5tZW1ujevXq5d8Q0lkiZ0rt3P7+KSkpAIA9e/agSZMm2LdvH5YsWYITJ06gcePGGDt2rHpWNjc3N/zyyy+Ijo4GoOrHPW7cOPz222/qcWyJinPx4kU4ODjA29sbNjY28PLywvz583Hr1i1s3LgRkyZNgp2dHebPn49p06bBwsICX331lXr73Bl3iZ5X2FwCUVFR2Lx5M0aMGIHatWvDxMQERkZG6nG1586di4MHD6Jfv35YtWoVZs6ciXbt2gEA+vTpA2Nj43JtB2mGRTe9FHPnzkWjRo2QlZUFV1dXmJqaYvr06Vi2bBmuXLkCX19ftGvXDr/++ivmz5+Px48f49atWzh9+jTatm0Lc3NzdUFF9KIXP9gFBAQAAA4fPgwvLy/1DGsmJibYsGEDwsLCEBISAkdHR/Tq1QsPHjxQbwMAderUgaurq3YaQ3opPj4eRkZGsLa2VhdJffv2hZOTE77//nvcvXsXa9euRZMmTXD48GEEBARgxYoVWs6adJnImUvAyMgIMTExePLkifo5L/6g3QAABg9JREFUY2NjKBQKODo6qmOBZx/e+vXrhx9//BEmJibYt28ffv/9d3z//ffYvn07qlWrVv6NIc1o+Uo7VQAXL14UPj4+YteuXXnWK5VK0axZM3Wf7ejoaPHNN98IY2Nj4ePjI6ysrESfPn3y9IEkKsycOXOEmZmZePfdd0VgYKCIjIwUw4cPF35+fuqY3K9a33jjDTF69GghhOoGy/Hjx4utW7dqJW+qGC5evCiMjIzEH3/8IYR41tVp7NixwtbWVowePZpDTZJGnu8mkpaWJoYNGyaqV68umjdvLr799lshhBB3794VrVq1Eh9//LF6UILn75uKjY1V74P3PukPXlqkUjt69CgSEhLg6+urXpc7zNGiRYuwe/duHDx4EA4ODvD398elS5ewcOFC/PXXX9i5cyesra21mD3pg0uXLuGXX37BTz/9hM2bN2PYsGGoWbMmfH19kZKSgq1btwJQdVtKSEhAbGwsPDw8AABmZmYICAjA4MGDtdkE0nMNGjTAoEGDMHbsWNy8eRNGRkZITExEcnIyWrZsiZo1a2o7RdJxud+Q5H6re+XKFXz33XdISUnBhg0b8MYbb8Df3x8//fQTXF1d0aFDB5w9e1Y9G65cLseDBw8wd+5cXLp0Sb3fypUrl39jqETYyYxKLTo6Wj29sciZwj33TeWNN97AsGHD8Mknn6BVq1bqvpBeXl5azpr0yYsf7HKnN+7SpQtOnTqFL7/8EtWrV0e9evVw9OhRpKSk5PkQyP60VFpyuRzr1q1Dy5Yt0blzZ3h7e+PixYto27YtNm3axK/0qVjPz0Gxfft2vPPOO3jttdewcuVKNGnSBD169MC9e/ewePFitG7dGpMmTUJMTAzGjx+PPXv2wMXFBcHBwfD29ka9evW03BoqCZkQL8wqQSTR2bNn4evriyNHjqBDhw4AVP3P4uLiEBoaCh8fHzRu3Bh//PFHnkKISFOff/45Dh06hPPnz0Mmk+WZLOLq1atYuHAh9u/fjypVquDp06f45ptvMGLECO0lTBVWZGSk+p6Bxo0bY/z48dpOifRERkYG/P394eTkhK+++gotW7bEf//9h1OnTsHNzQ2A6iKWt7c3PvroI0yfPh1GRkZYv349Lly4gHv37mHw4MH81k6PseimUsvKysLIkSMRFhaGHTt2wNPTEwCwaNEiXL16FStXroSlpSWsrKy0nCnpq4I+2CmVSjx9+hR//vkn3n77bURGRuLatWvo1KmTlrMlIirYoEGDcPfuXQQGBiI2NhZt2rTBzp078dZbb6kvKMyZMwebNm3Cxo0b1SOSUMXAopteioyMDLz++uu4d+8e6tSpo57OPTAwEK1bt9Z2eqTnivtg980336BWrVpazpKIKK/jx4/D3d0dLi4uAICIiAj07NkTb775JpYuXYoePXrg6dOnCA4OhrOzs3q7qlWromvXrli9ejX7bFcgLLrppXn8+DH+/fdfXLx4EdWrV8fQoUO1nRJVIPxgR0T65PHjx6hRowZWrFiB999/X90tbt68efjpp5+wfPly1K1bFzVq1MCqVavw/vvvq+8/+eOPP2BnZwcfHx8ttoBeNhbdRKQ3+MGOiPTJV199hXPnzmHx4sVo0KABACAtLQ1t2rSBu7s7duzYgalTp2Ljxo04cuSIOoYqJhbdRERERGUgLS0N9erVw/jx4/HRRx/BwsICAPDNN9/g66+/RkBAAN59913Y2dlh+/btvCelguM43URERERlwNzcHIsXL8bPP/+MM2fOqNffuXMHCoUC69evR1JSEh48eMCC2wDwSjcRERFRGRFCoH379rC0tMTo0aNhZGSEHTt2oG/fvnB1dUXTpk21nSKVExbdRERERGXo7t27+Oijj3DhwgVkZGRgxowZHOPdALHoJiIiIipjSqUSFy5cQMOGDWFiYqLtdEgLWHQTEREREZUx3khJRERERFTGWHQTEREREZUxFt1ERERERGWMRTcRERERURlj0U1EREREVMZYdBMRERERlTEW3UREREREZYxFNxERERFRGWPRTURERERUxlh0ExERERGVMRbdRERERERl7P/QWDIuyijscgAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "metadata": { "ExecuteTime": { "end_time": "2024-11-09T15:29:08.731502Z", "start_time": "2024-11-09T15:29:08.729479Z" } }, "cell_type": "code", "source": "", "outputs": [], "execution_count": null } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 1 }