diff --git a/mlp/schedulers.py b/mlp/schedulers.py new file mode 100644 index 0000000..4f53e7e --- /dev/null +++ b/mlp/schedulers.py @@ -0,0 +1,34 @@ +# -*- coding: utf-8 -*- +"""Training schedulers. + +This module contains classes implementing schedulers which control the +evolution of learning rule hyperparameters (such as learning rate) over a +training run. +""" + +import numpy as np + + +class ConstantLearningRateScheduler(object): + """Example of scheduler interface which sets a constant learning rate.""" + + def __init__(self, learning_rate): + """Construct a new constant learning rate scheduler object. + + Args: + learning_rate: Learning rate to use in learning rule. + """ + self.learning_rate = learning_rate + + def update_learning_rule(self, learning_rule, epoch_number): + """Update the hyperparameters of the learning rule. + + Run at the beginning of each epoch. + + Args: + learning_rule: Learning rule object being used in training run, + any scheduled hyperparameters to be altered should be + attributes of this object. + epoch_number: Integer index of training epoch about to be run. + """ + learning_rule.learning_rate = self.learning_rate diff --git a/notebooks/03_Multiple_layer_models.ipynb b/notebooks/03_Multiple_layer_models.ipynb index 6512b95..f1cb478 100644 --- a/notebooks/03_Multiple_layer_models.ipynb +++ b/notebooks/03_Multiple_layer_models.ipynb @@ -284,10 +284,93 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], + "source": [ + "### Varying initialisation scale\n", + "\n", + "First try a few different parameter initialisation scales:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `init_scale = 0.01`" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.5s to complete\n", + " error(train)=3.10e-01, acc(train)=9.14e-01, error(valid)=2.91e-01, acc(valid)=9.18e-01\n", + "Epoch 10: 0.6s to complete\n", + " error(train)=2.88e-01, acc(train)=9.20e-01, error(valid)=2.76e-01, acc(valid)=9.23e-01\n", + "Epoch 15: 0.6s to complete\n", + " error(train)=2.78e-01, acc(train)=9.23e-01, error(valid)=2.69e-01, acc(valid)=9.24e-01\n", + "Epoch 20: 0.6s to complete\n", + " error(train)=2.71e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 25: 0.5s to complete\n", + " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.65e-01, acc(valid)=9.26e-01\n", + "Epoch 30: 0.5s to complete\n", + " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n", + "Epoch 35: 0.5s to complete\n", + " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 40: 0.5s to complete\n", + " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.29e-01\n", + "Epoch 45: 0.7s to complete\n", + " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 50: 0.6s to complete\n", + " error(train)=2.54e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 55: 0.6s to complete\n", + " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n", + "Epoch 60: 0.6s to complete\n", + " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 65: 0.6s to complete\n", + " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 70: 0.6s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 75: 0.6s to complete\n", + " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.57e-01, acc(valid)=9.30e-01\n", + "Epoch 80: 0.5s to complete\n", + " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n", + "Epoch 85: 0.5s to complete\n", + " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 90: 0.6s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.57e-01, acc(valid)=9.29e-01\n", + "Epoch 95: 0.5s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n", + "Epoch 100: 0.6s to complete\n", + " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Set training run hyperparameters\n", "batch_size = 100 # number of data points in a batch\n", @@ -328,6 +411,760 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `init_scale = 0.1`" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.5s to complete\n", + " error(train)=3.22e-01, acc(train)=9.11e-01, error(valid)=3.00e-01, acc(valid)=9.16e-01\n", + "Epoch 10: 0.5s to complete\n", + " error(train)=2.95e-01, acc(train)=9.18e-01, error(valid)=2.81e-01, acc(valid)=9.21e-01\n", + "Epoch 15: 0.5s to complete\n", + " error(train)=2.85e-01, acc(train)=9.21e-01, error(valid)=2.74e-01, acc(valid)=9.23e-01\n", + "Epoch 20: 0.5s to complete\n", + " error(train)=2.78e-01, acc(train)=9.22e-01, error(valid)=2.70e-01, acc(valid)=9.25e-01\n", + "Epoch 25: 0.5s to complete\n", + " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.68e-01, acc(valid)=9.25e-01\n", + "Epoch 30: 0.5s to complete\n", + " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.64e-01, acc(valid)=9.27e-01\n", + "Epoch 35: 0.5s to complete\n", + " error(train)=2.64e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n", + "Epoch 40: 0.5s to complete\n", + " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.63e-01, acc(valid)=9.27e-01\n", + "Epoch 45: 0.5s to complete\n", + " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.29e-01\n", + "Epoch 50: 0.5s to complete\n", + " error(train)=2.58e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.29e-01\n", + "Epoch 55: 0.5s to complete\n", + " error(train)=2.56e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n", + "Epoch 60: 0.5s to complete\n", + " error(train)=2.55e-01, acc(train)=9.28e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n", + "Epoch 65: 0.5s to complete\n", + " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 70: 0.5s to complete\n", + " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 75: 0.5s to complete\n", + " error(train)=2.51e-01, acc(train)=9.30e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n", + "Epoch 80: 0.5s to complete\n", + " error(train)=2.50e-01, acc(train)=9.30e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 85: 0.5s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 90: 0.6s to complete\n", + " error(train)=2.48e-01, acc(train)=9.31e-01, error(valid)=2.57e-01, acc(valid)=9.29e-01\n", + "Epoch 95: 0.5s to complete\n", + " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n", + "Epoch 100: 0.5s to complete\n", + " error(train)=2.47e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n" + ] + }, + { + "data": { + "image/png": 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hmiZOp5P77ruPs88+mx49enD++efzj3/840fv9fi3+AsLC7nhhhvo0aMHZ599Nh988EGDc2JjYxkyZAgffvhhs76vzWVr1at3QEZ4hHssau56zJzVGKNa968fERERf1ftNPn5bN/MzZj98yxCbEaTy0+fPp1PPvmEp556ioyMDL755humTJlCXFycp8wTTzzBI488Qnp6OlFRUQDMmTOH66+/3hPc8vLyuO6667j66qt54YUX2Lp1K/fffz/BwcHcd999nmsdfx7AN998w/jx4z2PMzMzyc7O5oMPPvB6S/7DDz9k/PjxGIaBy+UiJSWFV199ldjYWFavXs0DDzxAYmIiV1xxRZPu/Z577mH//v3Mnj2boKAgpk6dSmFhYYNygwYNYuXKlU265qlSQG0FxoBhmLnr3eNQFVBFRETahYqKCl577TVmz57N0KFDAejatSvffvstb775Jtdeey0A999/PxdccIHXud26dePhhx/2PH766afp3LkzTz75JIZhkJmZSX5+PtOmTeOee+7xjC09/jyAvXv3kpSU5HVswoQJzJw50xNQt23bRk5ODi+88AIAdrud3/72t57y6enprF69mvnz5zcpoG7bto3PP/+c+fPnM3iwez7Ns88+y4gRIxqUTU5OZu/evSe95ulQQG0FRvYwzDmve3aVMkLDfF0lERERnwm2Gsz+eZbPXrupcnNzqaqq8rzVXq+2tpb+/ft7HmdnZzc4d8CAAV6Pt27dypAhQzCMo68/bNgwysvLycvLIzU1tdHzAKqqqggODvY6Nm7cOJ544gnWrFnDkCFDmDt3Lv369SMr6+j39V//+hdvv/02e/fupaqqitraWvr169eke9+6dSs2m82rPpmZmURHRzcoGxISQmVlZZOue6oUUFuBZ1epg/vdu0oNOdfXVRIREfEZwzCa9Ta7r9Qv6fSvf/2L5ORkr+eCgoLYtWsXAGFhDTueQkNDvR6bpukVTuuPnew8cI/zLCkp8TqWlJTEOeecw4cffugZA/rLX/7S8/y8efN47LHHmDp1KkOHDiU8PJy//vWvfPdd03a3rK/b8XVuTHFxsdeQh9agSVKt5OiuUlpuSkREpD3IysoiODiYffv2kZGR4fVR3+PZVD179mT16tVeoXT16tVERESQkpLyo+f269eP3NyGY3YnTJjAvHnzWL16Nbt27WLcuHGe51atWsWQIUOYPHky/fv3JyMjwxOomyIzMxOHw8HatWs9x7Zu3dogKANs2rSpyT2zp0oBtZUY9ctNrVujXaVERETagYiICG699VYeffRR3n33XXbu3Mn69euZOXMm7777brOudcMNN7B//34efvhhtm7dyqJFi3j22We55ZZbTrq26ciRI/n224bLVV522WUcOXKEBx98kHPOOccr6Hbr1o2cnByWLl3Ktm3beOaZZ7zC5slkZmbyk5/8hPvvv5///ve/5OTkcP/993tWEjjWqlWrGh2b2pIUUFtLjz4Qpl2lRERE2pMHHniAe+65h5deeomRI0cyadIkPv30U9LT05t1nZSUFN544w2+//57xowZw+9//3uuueYa7rrrrpOee+WVV5Kbm9tgWanIyEhGjx7Nhg0buPLKK72eu+6667j00kv5zW9+w09/+lOKioq44YYbmlXn5557js6dOzNx4kRuvvlmrr32WuLj473KrF69mrKyMi6//PJmXbu5DLO5C4T5uYKCAmpra31dDQBcr/0Fc9V/MC79GZYrm/ePRNzjYFJSUsjLy2v2Onbi39S2gUntGrhOpW1LS0s9SzBJ8z3xxBOUlpbyzDPPtPpr2e32JmenW265hf79+zNlypQfLXei9rfb7SQkJJz0ddSD2pqy68ehalcpERERabopU6aQlpaG0+k/wwSrq6vp27cvv/71r1v9tRRQW5F2lRIREZFTERUVxZQpU7Barb6uikdwcDB33313oysPtDQF1Fbk2VUKMHPUiyoiIiLSFAqorUzLTYmIiIg0jwJqKzOy3ctNkfsDZmWFbysjIiIi0g4ooLYyIzkVklLB6XDvKiUiItJBaDWHjql+R67TcUpbnS5atIh58+ZRXFxMWloakydPpk+fPo2W3bRpE2+99Rb79u2jurqahIQERo8ezdixYz1l9uzZw+zZs9mxYwcFBQXccMMNrb6+VlsysodifroPc+0qDG17KiIiHUBwcDCVlZWNbgsqgcvlclFWVkZ4ePhpXafZAXXFihXMnDmTm2++mV69erFkyRKmTZvG888/32AxV3D/A7344ovp2rUrwcHBbNq0iddee42QkBBGjx4NuJctSEpKYvjw4fzzn/88rRvyR8aAMzE//cizq5Rh8Z8ZeSIiIq0hODiY8vJySkpKmrS/u/hOUFAQNTU1LXa98PBwbLZT6gP1aPbZCxYs4MILL2TUqFEATJ48mbVr17J48WImTZrUoHz9Hrb1EhMTWbVqFRs3bvQE1MzMTDIzMwGYNWvWKd2IX/PaVWqzZ2a/iIhIIDvdXjRpff66wUazxqA6HA62b9/OgAEDvI5nZ2ezefPmJl1jx44dbN68mb59O05IM2w295qoaNF+ERERkZNpVg9qaWkpLpeL6Ohor+PR0dEUFxf/6Lm33XYbpaWlOJ1OrrrqKk8P7Kmqra312pbLMAzPwrH++FaCMeBMzFX/wcz5FmPiZF9Xp12ob0d/bE85PWrbwKR2DVxq28Dlr217SgMEGruJk93Y448/TlVVFbm5ucyaNYvk5GTOO++8U3l5AObOnct7773neZyRkcH06dObtL+rL7hGXca+Gc/D/t0kGC5syam+rlK7kZyc7OsqSCtR2wYmtWvgUtsGLn9r22YF1KioKCwWS4Pe0pKSkga9qsdLTEwEID09nZKSEubMmXNaAXXChAleKwHUB+SCggIcDscpX7dVZfaB3PUc+HQBltFX+Lo2fs8wDJKTk8nPz/ercTFy+tS2gUntGrjUtoGrrdvWZrM1qTOxWQHVZrPRvXt3cnJyOPPMMz3Hc3JyGDZsWJOvY5rmaYdIu92O3W4/4fX9kTFgGGbuelxrV2GM+qmvq9NumKbpt20qp0dtG5jUroFLbRu4/K1tm/0W/9ixY3nxxRfp3r07WVlZLFmyhMLCQsaMGQO4Z+EfPnyYO++8E4CFCxcSHx9Paqr7Le1NmzYxf/58Lr30Us81HQ4He/fu9Xx9+PBhdu7cSUhIiN91OZ8OI/tMzDmve3aVMkK1NpyIiIjI8ZodUM855xzKysp4//33KSoqokuXLjz44IOe7tqioiIKCws95U3T5O233+bgwYNYLBaSk5O59tprPUtMARw+fJgHHnjA83j+/PnMnz+fvn378uijj57G7fkXz65SB/bBD/+Foac+xEFEREQkUBmmP/XntoCCggKv2f3+xjXn/zAXf4gx/CdYbrrH19Xxa/66NpucPrVtYFK7Bi61beBq67a12+1NGoParHVQ5fQZ2e6xu/W7SomIiIiINwXUttajt/euUiIiIiLiRQG1jWlXKREREZEfp4DqC9nuJbnMtat8XBERERER/6OA6gNG/yFgsUDeHsyCfF9XR0RERMSvKKD6gBEeAT37AepFFRERETmeAqqPGPVv8+doHKqIiIjIsRRQfcQYULdVbN2uUiIiIiLipoDqI0ZSZ/euUk6He1cpEREREQEUUH3KGFA/m19v84uIiIjUU0D1Ic+uUutXa1cpERERkToKqL6U2QfCIuBIGWzTrlIiIiIioIDqU4bVenRXKc3mFxEREQEUUH1vgHaVEhERETmWAqqPGf0Ga1cpERERkWMooPqYdpUSERER8aaA6ge0q5SIiIjIUQqofuDorlLrMSvKfVsZERERER9TQPUDRlJnSE4FpxM2fOfr6oiIiIj4lAKqn/As2q9dpURERKSDU0D1E55xqNpVSkRERDo4BVR/oV2lRERERAAFVL/htauUlpsSERGRDkwB1Z8M0HJTIiIiIgqofsToPxisVveuUgfzfF0dEREREZ9QQPUjRlgEZPYF1IsqIiIiHZcCqp/RrlIiIiLS0dlO5aRFixYxb948iouLSUtLY/LkyfTp06fRsps2beKtt95i3759VFdXk5CQwOjRoxk7dqxXuW+++YbZs2dz4MABkpKSuOaaazjzzDNPpXrtmjHgTMw5/+fZVcoIC/d1lURERETaVLMD6ooVK5g5cyY333wzvXr1YsmSJUybNo3nn3+e+Pj4BuWDg4O5+OKL6dq1K8HBwWzatInXXnuNkJAQRo8eDUBubi7/+7//y89//nPOPPNMVq1axfPPP8/jjz9Oz549T/8u2xHPrlL5+zB/+A5j2Hm+rpKIiIhIm2r2W/wLFizgwgsvZNSoUZ7e0/j4eBYvXtxo+YyMDM477zy6dOlCYmIiF1xwAQMGDGDjxo2eMh9//DHZ2dlMmDCB1NRUJkyYQP/+/fn4449P/c5amWmalNe0zoL69btKkaPlpkRERKTjaVYPqsPhYPv27YwfP97reHZ2Nps3N21x+R07drB582Z+8YtfeI7l5uZy+eWXe5UbMGAA//73v094ndraWmpraz2PDcMgNDTU83Vr2naokpdW5hNsM3j6om4tfn3LwDNxLp6LuW4NmC4Mi7XFX6M9qG/H1m5PaXtq28Ckdg1catvA5a9t26yAWlpaisvlIjo62ut4dHQ0xcXFP3rubbfdRmlpKU6nk6uuuopRo0Z5nisuLiYmJsarfExMzI9ec+7cubz33nuexxkZGUyfPp2EhIQm38+pskZUs3PhLpymSbktksyEiBa9vpmYwP5XonAdKSWuuJDgfgNb9PrtTXJysq+rIK1EbRuY1K6BS20buPytbU9pklRjKftkyfvxxx+nqqqK3NxcZs2aRXJyMuedd+LxlaZp/ug1J0yY4DXRqr5sQUEBDofjZLdw2oalRfDNnjLeWLGF285s+UY1+w2GlUsp+PwTrLFJLX799sAwDJKTk8nPz8c0TV9XR1qQ2jYwqV0Dl9o2cLV129pstiZ1JjYroEZFRWGxWBr0bJaUlDToVT1eYmIiAOnp6ZSUlDBnzhxPQG2st/Rk17Tb7djt9kafa4tv8KU9Y/hmTxlfbC/h+oEJhNpbeMWu7KGwcinm2lWYP7uhZa/dzpimqV+IAUptG5jUroFLbRu4/K1tm5WqbDYb3bt3Jycnx+t4Tk4OvXr1avJ1TNP06uXMyspi3bp1Da6ZlZXVnOq1qezkMDpH2ql0uPhyZ0mLX1+7SomIiEhH1exuv7Fjx/LZZ5/x+eefs3fvXmbOnElhYSFjxowBYNasWbz00kue8gsXLmT16tXk5eWRl5fHF198wfz58zn//PM9ZS677DLWrl3Lhx9+yL59+/jwww9Zt25dg4lT/sRiGFzSsxMAC7cUt/hfHd67Smk2v4iIiHQczR6Des4551BWVsb7779PUVERXbp04cEHH/SMJygqKqKwsNBT3jRN3n77bQ4ePIjFYiE5OZlrr73WswYqQK9evbj77rt55513mD17NsnJydx9991+vwbqhd2jeXNtATuKqtlcWEXvhNAWvb4x4EzMzeswc1bD6HEtem0RERERf2WY/jTgoAUUFBR4LT/V2l74ej+fby9lZEYU95zTuUWvbR7cj+uh28BqxfLcmx1uVynDMEhJSSEvL8+vxsXI6VPbBia1a+BS2wautm5bu93epElSLTyzp+Opf5t/+a4ySqtadvUAI7EzJKeB04n5w3ctem0RERERf6WAepqy4kLoERtMrctkyfZWmCyVPcz9hcahioiISAehgHqajGMmSy3aUoyrpSdLDXAHVHPdGkxn62ytKiIiIuJPFFBbwAXdogi3W8g/Usv3eeUte/EefSAsAsrLYNumlr22iIiIiB9SQG0BITYLI7u7NxVYuKW4Ra9tWK0YZwwBwMz5tkWvLSIiIuKPFFBbyCU9YwD4dt8RCspbeBWBAWcCCqgiIiLSMSigtpD06GD6J4XhMmHx1uIWvbbRb5B2lRIREZEOQwG1BV1a14v66dZiHK6WmyylXaVERESkI1FAbUFnpUUSE2KlqMrJyj1lLXpto/5t/rV6m19EREQCmwJqC7JbDcb0iAHgk5aeLFW33BRbfsCsaOGVAkRERET8iAJqC7u4ZwwWA9YdqGBvSXWLXVe7SomIiEhHoYDawhLC7QxNjQBaYcmp+rf5F76HWVvTotcWERER8RcKqK2gfrLU59tLqHK4Wuy6xqifQkQU7N6OOfsfLXZdEREREX+igNoKBqaEkxxhp7zWxVc7S1vsukanOCy/ugcMA/PLhbhWftli1xYRERHxFwqorcBiGFycGQO0wmSp/kMwLrsKAPONlzHz9rbo9UVERER8TQG1lYzqEY3NYrDtcBVbDlW26LWNK66BXmdAdRWuV5/GrG65yVgiIiIivqaA2kqiQ2ycmx4JwCe5xS16bcNixfLr30J0J9i/G3PWqy16fRERERFfUkBtRZdmxQDw1a5SjlQ7W/TaRnQnd0g1LJgrPsO17NMWvb6IiIiIryigtqLe8aF0iwmmxmny2faSFr++0esMjHGTADBn/Q1z744Wfw0RERGRtqaA2ooMw+CSuiWnFm4pxjTNln+NSydC/8FQW4Prr9MxKyta/DVERERE2pICaisbkRFFiM3C/rIacg60fHg0LBYsN90LneLh4H73zP5WCMIiIiIibUUBtZWF2a38JCMKaPnJUvWMyCgstz4AVivmt19hLv2kVV5HREREpC0ooLaB+rf5V+4t41BFbau8htGjN8bPJgNgvvsPzJ1bWuV1RERERFqbAmob6NYphL4JobhM+HRby0+WqmeMvgIGng0OB65Xp2OWH2m11xIRERFpLQqobaS+F3XxlmKcrtYZI2oYBpYbp0B8Ehw6iOv1/9V4VBEREWl3FFDbyDnpkUQHWzlU6WDVvtbr2TTCIrDc9juw2WDtKsxPP2y11xIRERFpDbZTOWnRokXMmzeP4uJi0tLSmDx5Mn369Gm07MqVK1m8eDE7d+7E4XCQlpbGVVddxcCBAz1lHA4HH374IV9++SWHDx+mc+fOXHvttV5l2ju71cKoHtF8sOEwC3OLGN4lstVey+iaifHzmzHfehXz/X9idu+Fkdm31V5PREREpCU1uwd1xYoVzJw5kyuvvJLp06fTp08fpk2bRmFhYaPlN27cSHZ2Ng8++CBPP/00/fr1Y/r06ezYcXRR+XfeeYdPP/2UG2+8keeee44xY8bw5z//2atMILikZwwG8H1+BftLa1r1tYwRl2IMOx9cLlx/+zNmWeuNfRURERFpSc0OqAsWLODCCy9k1KhRnt7T+Ph4Fi9e3Gj5yZMnM27cODIzM0lJSWHSpEmkpKSwZs0aT5mvvvqKCRMmMHjwYJKSkrjooosYMGAA8+fPP/U780NJEUEM7hwOwKKtxa36WoZhYFx/BySnQvEhXDOew3S5WvU1RURERFpCs97idzgcbN++nfHjx3sdz87OZvPmzU26hsvlorKykoiICM+x2tpagoKCvMoFBQX96DVra2uprT26ZJNhGISGhnq+9leXZXVizf5ylmwr5toBCQTbWm8YsBEajnHb73FOuw9++A4+eQ9j7M9b7fVaWn07+nN7yqlR2wYmtWvgUtsGLn9t22YF1NLSUlwuF9HR0V7Ho6OjKS4ubtI1FixYQHV1NcOHD/ccGzBgAAsWLKBPnz4kJSWxfv16Vq9ejetHevzmzp3Le++953mckZHB9OnTSUhIaM4ttbnLk5L5x38LySutYn2JhbH9U1r3BVNSKL/9QQ7/72O45s0i7sxzCRkwrHVfs4UlJyf7ugrSStS2gUntGrjUtoHL39r2lCZJNZaym5K8ly1bxpw5c7j//vu9Qu6NN97Iq6++yt13341hGCQlJTFy5EiWLl16wmtNmDCBsWPHNnj9goICHA5HM+6m7Y3qHsmb31fx9rc7GBLXBi/YfyjGuaMxly+h4OkHsT7yAkZMbBu88OkxDIPk5GTy8/O1XFaAUdsGJrVr4FLbBq62blubzdakzsRmBdSoqCgsFkuD3tKSkpIGvarHW7FiBa+++ir33nsv2dnZDa77wAMPUFNTw5EjR+jUqRNvvfUWiYmJJ7ye3W7Hbrc3+py///CM6R7NOzkF5BZWse1QJd1jQ1r9NY1rbnXvLrVvF86//xnLvX/CsFpb/XVbgmmaft+mcmrUtoFJ7Rq41LaBy9/atlkDIG02G927dycnJ8freE5ODr169TrhecuWLePll19mypQpDB48+ITlgoKCiI2Nxel0snLlSoYOHdqc6rUbMaE2zzJTn2wpapPXNIKD3eujBodC7nrMeW+3yeuKiIiINFezZ+iMHTuWzz77jM8//5y9e/cyc+ZMCgsLGTNmDACzZs3ipZde8pSvD6fXX389WVlZFBcXU1xcTEVFhafMli1bWLlyJQcOHGDjxo1MmzYN0zQZN25cC9yif7q0ZycAvtxRSnmNs01e00hOc8/sB8x/v4u5bs1JzhARERFpe80eg3rOOedQVlbG+++/T1FREV26dOHBBx/0jCcoKiryWhN1yZIlOJ1OZsyYwYwZMzzHR4wYwR13uMNSbW0t77zzDgcPHiQkJIRBgwZx5513Eh4efrr357f6JoaSHh3E7pIavthRwthebTMm1HLmBbi2bMBc+m9cM57D8sj/YsT698QyERER6VgM058GHLSAgoICr+Wn/NnHm4v4++oDpEUF8dLYjDZb4sGsrcU1/Xewayt074Xl/mkYtsbH8/qSYRikpKSQl5fnV+Ni5PSpbQOT2jVwqW0DV1u3rd1ub9IkqdZbhFNOamRGFCE2g72lNfxwsLLNXtew27Hc+gCEhsP2zZgf/KvNXltERETkZBRQfSg8yMqIbu7VD9pqslQ9IyEZy413AWB++hHmf79u09cXEREROREFVB+7pGcMAN/sKaO4sm3XbzUGnY0xxj0RzTXz/2EW5Lfp64uIiIg0RgHVx7rHhtArPgSHCz7dVtzmr29ceQP06A2V5bhenY5ZW9PmdRARERE5lgKqH7ikbsmpRVuKcbradvC5YbNhueV+iIiE3dsw351x8pNEREREWpECqh84r2skkUEWCiocrNl/pM1f34hNwPKrewEwl36Ca+WXbV4HERERkXoKqH4gyGphVI8YABZuKfZJHYz+QzAuuxoA842XMfP2+qQeIiIiIgqofqJ+stR/95dz4IhvxoEaV1wDvc6A6ipcf5uOWV3tk3qIiIhIx6aA6idSIoMYmBKOiQ97Ua1WLDffB1ExsG8X5tuv+qQeIiIi0rEpoPqRS+t6UZdsK6HW6fJJHYyYWCy//i0YFszln+FavsQn9RAREZGOSwHVjwxLjSAuzEZptZPlu8t8Vg+jd7b77X7AfOtVzL07fFYXERER6XgUUP2I1WJwcWYM4Lu3+esZl10F/QZBbQ2uV5/BrKrwaX1ERESk41BA9TNjMmOwGrCxoJKdRVU+q4dhsWD51X0QEwcH9mH+62VMs23XaBUREZGOSQHVz8SG2jirSyTgB72okVFYbn0ArFbMb7/CfP1/MWtrfVonERERCXwKqH6ofrLUFztKqah1+rQuRmYfjF/eDhYL5tdf4Hr2IczSYp/WSURERAKbAqofOiMpjNSoIKocLr7cUerr6mA5bwyWux6FsHDYtgnXk/dp4pSIiIi0GgVUP2QYhqcX9ZMtxX4x9tPoOxDLg3+GxM5wuADX07/D/H6lr6slIiIiAUgB1U/9pHs0QVaDXcXVbCqo9HV1ADCS07D84c/QZ4B7t6lXpuFa+L5fBGgREREJHAqofioiyMoF3aIAdy+qvzDCI7FM+SPGyEvBNDHf/6cmT4mIiEiLUkD1Y5fUvc2/fHcZJVUO31bmGIbNhuXa32BMuvXo5KnnHtbkKREREWkRCqh+rGdcKJmxIThcJp9tK/F1dRqw/ORyLHf9EULDYetGXNN+i7l3p6+rJSIiIu2cAqqfuzQrBoCFW4tx+eFYT6PvoLrJUylw6KB78tTaVb6uloiIiLRjCqh+7vyuUYQHWThwpJbv9pf7ujqNMlLSsPzhL9DrDKiuxPXyk7gWfaDJUyIiInJKFFD9XLDNwoXdowH/mix1PCM8Esvdj2FccIl78tR7MzFn/j9NnhIREZFmU0BtB+onS63Zf4SCcv8NfIbNhvHL32D84hYwLJgrPsP13FTMMv8bPysiIiL+SwG1HUiLCiY7KQyXCYv8uBcV3JsMWEaNxTLlkbrJUxvcO0/t2+XrqomIiEg7oYDaTtRPlvp0WzG1Tv8f22n0H+yePJWQ7J489dQDmGu/9XW1REREpB2wncpJixYtYt68eRQXF5OWlsbkyZPp06dPo2VXrlzJ4sWL2blzJw6Hg7S0NK666ioGDhzoVe7jjz9m8eLFFBYWEhUVxVlnncWkSZMICgo6lSoGnDPTIukUaqOo0sFXu0o941L9Wf3kKder02HzOlwvP4Hxs8kYF43HMAxfV09ERET8VLN7UFesWMHMmTO58sormT59On369GHatGkUFhY2Wn7jxo1kZ2fz4IMP8vTTT9OvXz+mT5/Ojh07PGW++uorZs2axVVXXcXzzz/Pbbfdxtdff82sWbNO/c4CjM1ieMaivrwyjyXbin1an6YyIqLck6fOv6hu8tTrmP/U5CkRERE5sWYH1AULFnDhhRcyatQoT+9pfHw8ixcvbrT85MmTGTduHJmZmaSkpDBp0iRSUlJYs2aNp0xubi69evXivPPOIzExkQEDBnDuueeyffv2U7+zAHRl31jOTY/E4YIXv8nn9f8exOlqB2/322wY192B8fOb3ZOnln+G63lNnhIREZHGNestfofDwfbt2xk/frzX8ezsbDZv3tyka7hcLiorK4mIiPAc6927N1999RVbt24lMzOTAwcO8N133zFixIgTXqe2tpbaY3rhDMMgNDTU83UgCrZZeeD8VN7OKeSddYV8uPEw+0truPe8zoTZrb6u3o8yDAPGjMOVkobrb8/Alg24pt2H9X8ewUjteuJzCNz27MjUtoFJ7Rq41LaBy1/btlkBtbS0FJfLRXS09/jH6OhoiouLm3SNBQsWUF1dzfDhwz3Hzj33XEpLS5k6dSoATqeTiy66qEEQPtbcuXN57733PI8zMjKYPn06CQkJTb+hduq+zp05o+sBHl+4kVX7jvDwZ/t47spsUqJDfV21k0sZS22vfhQ8djfO/H24nv4dcQ88SeiZ553wlOTk5DasoLQltW1gUrsGLrVt4PK3tj2lSVKNpeymJO9ly5YxZ84c7r//fq+Q+8MPP/DBBx9w880307NnT/Lz83n99deJiYlh4sSJjV5rwoQJjB07tsHrFxQU4HA4mntL7c4ZMfDk6HSeXLqHrYXlXPevVTw0Io3eCWG+rtrJ2UPg98/AK09h5q6n8PF7sFx1E8aYcV7/jgzDIDk5mfz8fO1KFWDUtoFJ7Rq41LaBq63b1mazNakzsVkBNSoqCovF0qC3tKSkpEGv6vFWrFjBq6++yr333kt2drbXc7Nnz+aCCy5g1KhRAKSnp1NVVcXf//53rrzySiyWhkNl7XY7dru90dfqKD88PeNC+Mul3Xhy6V62F1Xzh0938z9nJzMyw/9n+BMeieWexzBn/Q3zq8W43p2BsW+Xe6F/m3e7mqbZYdq0o1HbBia1a+BS2wYuf2vbZk2SstlsdO/enZycHK/jOTk59OrV64TnLVu2jJdffpkpU6YwePDgBs9XV1c36IG1WCx+9Y3yV/Fhdp66qCtnd4nA4TJ5fkUeb3xfgKsdfO8Mm71u8tSv6iZPLcH1/COYZaW+rpqIiIj4ULNn8Y8dO5bPPvuMzz//nL179zJz5kwKCwsZM2YMALNmzeKll17ylK8Pp9dffz1ZWVkUFxdTXFxMRUWFp8yQIUP49NNPWb58OQcPHiQnJ4fZs2czdOjQRntPxVuIzcLvzk9lYr84AN774RDPfLWPKofLxzU7OcMwsIweh+V/pkJIKOT+gGvafZj7dvu6aiIiIuIjzR6Des4551BWVsb7779PUVERXbp04cEHH/SMJygqKvJaE3XJkiU4nU5mzJjBjBkzPMdHjBjBHXfcAcDPfvYzDMPgnXfe4fDhw0RFRTFkyBCuueaa072/DsNiGFw3MIG0qCBeWpnP13uOcGDxLh4amUZ8WONDIfyJccYQLL//M66X/gSFB3A9fT/c8gCk/NTXVRMREZE2ZpgB9j56QUGB1/JTHdHGggqe+nIfJdVOOoVY+cOINLLi28EMf8AsK8X16lOQ+wMYFqJvvJMjZ48CP1v+Qk6PYRikpKSQl5enoTwBRO0auNS2gaut29ZutzdpkpTePw9AfRLC+Msl3egaE0xRlZOHluzmq53tY1ynERmF5Z7HMc4bA6aLkv/7f+5xqYcb36lMREREAo8CaoBKjLDz9EXpDEsNp8Zp8pfl+3knp7Bd/OVr2OwY19+J5Ze3YwQHY25ci+ux/8G18ktfV01ERETagAJqAAuzW3nwgjTG94kF4O11hfxl+X6q28vkqZGXkvT/3oJuPaGiHPMfz+J67S+Y5Ud8XT0RERFpRQqoAc5qMbhxcCL/c3YyNgss21XGQ0t2c7iyfWxmYE/rhvX3z2D89BdgsWCu+g+ux6Zgblzr66qJiIhIK1FA7SBG94jhsQvTiQy2suVQFb/9ZCfbD1f5ulpNYthsWK6YhOV30yExBYoKcT03FdfsGZi1Nb6unoiIiLQwBdQOpH9SGH++uCtpUUEcqnTw+8W7+Hp3ma+r1WRG915YHnkB44JLADCXfITriXsxd2/3cc1ERESkJSmgdjApkUE8c3FXBqWEU+00efqrfcxZ3z4mTwEYwSFYrrvdvbB/ZDTs341r2m9xffI+psvp6+qJiIhIC1BA7YDCg6xMHZnG2F6dAHhzbSHPr8ijxun/k6fqGdnDsDz2Egw8C5wOzA/+iesvD2EWHvB11UREROQ0KaB2UFaLwa+HJnHbsCQsBny5s5SHl+yhuJ1MngIwIqOx3P4HjBv+B4JDYcsGXI9NwbXis3bTIywiIiINKaB2cJdmdeLRC7sQHmRhc2Elv124k51F7WPyFNQtR3XeGCx/fAF69IaqSszXX8D16nTMsvaxOYGIiIh4U0AVBiSH8+eLu9E50k5BhYPfLd7Nqr3tZ/IUgJGQjOWBpzDG/xKsVvjvClyP/Q/m+jW+rpqIiIg0kwKqAJAaFcSfL+5GdnIYVQ4X077cx9wNh9rVW+WGxYrl8quxPPgXSOkCJUW4XngM11uvYlZX+7p6IiIi0kQKqOIREWzljz/pwiU9YzCBmd8V8OI3+dQ6209IBTC69sDy8HMYo34KgLn037j+dDfmji0+rpmIiIg0hQKqeLFZDG4blsSvhyZiMeCz7SU88tluSqvaz+QpACMoGMsvfo3lnscgJhYO7MP19P245r+D6dRyVCIiIv5MAVUaMAyDsb1imToyjTC7hQ0Fldy3cBf/2VmK09XOelP7DsLy6IsYQ88Dlwtz3ixc03+HeWC/r6smIiIiJ6CAKic0uHMEz1zcleQIOwfLa3l2+X6mfLyDL3eUtKugaoRHYtxyP8av7oXQcNiRi+vxu3D9Z2G7GmMrIiLSUSigyo/qEh3M85d1Y1J2PBFBFvaW1vDcijz+5+MdLG1HQdUwDCxnj8Tyx/8Hvc6AmmrMN17B9dITmKVFvq6eiIiIHEMBVU4qzG7l52fE89r4Hlw7IJ7IIAv7Smt4fkUedy7Yzufb21FQjUvAcu+fMK66EWw2yPkW16NTML9f6euqiYiISB0FVGmyMLuVq/vH8/fxPbhuQAKRwVb2l9Xywtd53LFgO59tK24XQdWwWLBcNAHLQ89BalcoK8H18pO4/vkiZlWFr6snIiLS4SmgSrOF2a1M7B/H38d15/qBCUQFW8krq+X/fZPP7fO3s2RbMY72EFTTumF56DmMiyaAYWAu+xTX43djbt3o66qJiIh0aAqocsrC7FZ+1i+Ov4/rwQ2DEogOtpJ/pJYX64Lq4q3Ffr+GqmG3Y7nqRiz3PQGxCVCQj+uZB3HN/gdmRbmvqyciItIhKaDKaQu1W7iybxx/H9+DGwcnEB1i5cCRWl5emc/t87exaEs7CKq9zsDyx/+HcfZPwHRhLpmH6+HbcC1fguly+bp6IiIiHYoCqrSYEJuF8X3ieG1cD24anEinECsHyx28siqf38zbxie5RdQ6/TfsGWHhWH51D5a7HoWkVCgrwZz5/3A9/YB2oRIREWlDCqjS4oJtFsb1ieVv43pw85BEOoXaKKhw8Oq3B7h13nb+7e9Btf9gLI/+P4yJkyE41L1u6lO/xfWvlzDLSnxdPRERkYCngCqtJthm4ae9Y/n7uO78emgisaE2DlU4+Nu3B7j1o+18vLmIGj8NqobNjuXiK7E88QrG2SPBNDG/Wux+2/+zBdouVUREpBUZZoBtpVNQUEBtba2vqyGNqHG6+HRrCe9vOMShCgcAsaE2ruwby0WZMQTbvP9eMgyDlJQU8vLyfL7jk7l1A65Zf4M9O9wHUrtiueZWjF79fVqv9sqf2lZajto1cKltA1dbt63dbichIeHk9TqVgLpo0SLmzZtHcXExaWlpTJ48mT59+jRaduXKlSxevJidO3ficDhIS0vjqquuYuDAgZ4yjz76KBs2bGhw7qBBg3jwwQebVTcFVP9X63SxZFsJ7/1wiMK6oNopxMqV/eK4+Jig6m+/EE2XE/M/izE/fBPKywAwhp2PMfFGjNh4H9euffG3tpWWoXYNXGrbwBUwAXXFihW8+OKL3HzzzfTq1YslS5bw2Wef8fzzzxMf3/A/6ZkzZ9KpUyf69etHeHg4X3zxBfPnz2fatGlkZGQAcOTIERwOh+ecsrIy7r//fm677TZGjhzZnOopoLYjtU6Tz7eX8N4PhRwsd7d/TIiVCX1juaRnJ0LtVr/8hWgeKcX86C3MLxeB6YKgYIzLrsK4aAKG3e7r6rUL+s8uMKldA5faNnD5a0Bt9hjUBQsWcOGFFzJq1ChP72l8fDyLFy9utPzkyZMZN24cmZmZpKSkMGnSJFJSUlizZo2nTEREBDExMZ6PnJwcgoODOfvss5tbPWlH7FaDi3vG8MpPe3DHWckkhtsprnLy+n8LuOWjbXzwwyEqahwnv1AbMyKisFz7GywPPwuZfaCmGvPDN3H98Q7MnG99XT0REZF2z9acwg6Hg+3btzN+/Hiv49nZ2WzevLlJ13C5XFRWVhIREXHCMp9//jnnnHMOISEhJyxTW1vr1VNqGAahoaGer6X9CLIZXNyzE6N6xPDF9hLmrC8k/0gtM787yFs5BfRJCGVQSjgDk8PJiA3B4ifta3TNxPjddMyVX+Ka87p7kf8X/4SRPRTLz3+NkdTZ11X0W/U/o/pZDSxq18Cltg1c/tq2zQqopaWluFwuoqOjvY5HR0dTXFzcpGssWLCA6upqhg8f3ujzW7duZc+ePfzmN7/50evMnTuX9957z/M4IyOD6dOnN6nbWPzX9amdmXSOi082HmDmN7vYXVRBTr77458UEBNq56xusZzZtRNndYslKfLEf8S0mQnX4Lr4CkrfmUHZR7Mwc1bj3LCWyCt/SdTVN2IJDfN1Df1WcnKyr6sgrUDtGrjUtoHL39q2WQG1XmMpuynJe9myZcyZM4f777+/Qcit9/nnn9OlSxcyMzN/9FoTJkxg7NixDV6/oKDAazyrtE9D42Do5V2pDo5iSc4uvtt/hHUHKiiurGXRxgMs2ngAgC7RQQxMCWdQSgT9k8IIsflw5bRLr8I6aDiud17DXP9fyt59nbJP52G56ib3ZCo/++vUlwzDIDk5mfz8fI1nCyBq18Cltg1cbd22NputSZ2JzQqoUVFRWCyWBr2lJSUlJwyc9VasWMGrr77KvffeS3Z2dqNlqqurWb58OT//+c9PWhe73Y79BBNS9MMTGAzDoFtsOJf36sRlWTHUOk1yD1XyfV453+WVs+1wFXtKathTUsP8TUXYLNA7IYxByeEMSAmjhy+GAySlYkz5I8baVbhm/wMKD+D6+59h6SdYrvk1RlpG29bHz5mmqZ/XAKR2DVxq28Dlb23brIBqs9no3r07OTk5nHnmmZ7jOTk5DBs27ITnLVu2jL/+9a/cddddDB48+ITlvv76axwOB+eff35zqiUdhN1q0C8xjH6JYVw7IIGyaic5B8r5Ps/9cbDcwfoDFaw/UMEbayEy2MqA5DAGJoczMCWchPC2mWFvGAYMPAtLv0GYiz7A/OQ9yF2P6/F7MEZeijHuWozwE4/BFhER6eia/Rb/2LFjefHFF+nevTtZWVksWbKEwsJCxowZA8CsWbM4fPgwd955J+AOpy+//DKTJ08mKyvL0/saFBREWJj32LzPP/+cYcOGERkZeZq3JR1BZLCVc9OjODc9CtM0ySur5bu8ctbml5OTX0FZtZNlu8pYtsu9ZmlaVBADUsIZlBxO/6QwQu2tOxzAsAdhjP0F5vALcc35P1izAvOLjzG//QpjwnUY543GsFhbtQ4iIiLtUbMD6jnnnENZWRnvv/8+RUVFdOnShQcffNAznqCoqIjCwkJP+SVLluB0OpkxYwYzZszwHB8xYgR33HGH5/H+/fvZtGkTDz/88Oncj3RQhmHQOSqIzlFBXN6rEw6XSW5hJd/nu3tXtxyqYm9pDXtLa/h4s3s4QK/40Lrxq+F07xSC1dI6wwGMuESst/0ec+NaXG//HfL2YL7xMuZ/FmG55haMHr1b5XVFRETaK211Kn6rJRcPPlLtZN2BCr7LK+f7/HIOHPH+NxIRZGFA3VCAgcnhJEa0znAA0+HAXPox5ry3obICAGP4hRg/uwEjulOrvKY/0qLfgUntGrjUtoHLXxfqP6VZ/CLtTUSwleHpkQxPdw8fySurcY9drRsOcKTGxfLdZSzf7R4O0C8xlCt6xzIsNaJFe1YNmw1j9DjMMy/A/OBfmMs/w/z6c8zvv8EY+3OMEZdhBAe32OuJiIi0R+pBFb/VVn/VOV3u1QHW5rl7WHMPVeKqe7nkCDtje3ViVI9owuwtP17U3L7Z/bb/zi3uAxGRGCMuxbjwcoyowO1RVW9MYFK7Bi61beDy1x5UBVTxW776hVhYUcu/NxexaGsxR2pcAITaLIzOjOanvTqRFBHUoq9nulyYKz7D/PhdKHSv74rNjnH2SIwx4zA6p7fo6/kD/WcXmNSugUttG7gUUNuIAmrg8PUvxCqHiy+2lzB/cxH7SmsAsBhwZloEV/SKpW9iaIsuvm+6nPDdSlyL58L2Y7YOPmMolovGQ68zAmaxf1+3rbQOtWvgUtsGLn8NqBqDKnICITYLl2Z14uKeMXyfV85Hm4r4Pq+cb/Yc4Zs9R+gRG8xPe8VyXtco7NbTD46GxQpDzsE65BzMrRvdQfX7lbBuNa51qyG9B8ZF4zGGnIth04+uiIgELvWgit/yx7/YdxdXs2BzEV/sKKHG6a5TpxArl9UF2eiQlg2O5oH9mEvmYa5YAjXuXlxi4zFG/RTj/IsxQsN+/AJ+yh/bVk6f2jVwqW0Dl7/2oCqgit/y51+IpVUOFm0t5uPcYooqHQAEWQ1GdIvip71j6RrTsjPxzbJSzC8/wfx8AZSVuA+GhmGcf5E7rMae/Ifdn/hz28qpU7sGLrVt4FJAbSMKqIGjPfxCrHWaLN9dyrxNRWw7XOU5PiA5jCt6xzK4cziWlhynWluD+c1SzMUfQv5e90GrFWPIee63/7v2aLHXak3toW2l+dSugUttG7j8NaBqIJvIabBbDUZmRDOiWxSbCiqZt7mIb/aUsTa/grX5FXSODOKnvTtxYfdoQmynv7WqYQ/COP8izHNHw/o1uBZ/CJvXYa76EnPVl9A72z2hqt9gDEvrbuUqIiLSWhRQRVqAYRj0SQyjT2IYB47U8O/cYhZvLWZ/WQ1/+/YAb64t4OLMGC7L6kRC+OnvUmVYLJA9DGv2MMxdWzEXf4i5ehlsysG1KQdSuriXqDp7JIa9ZZfFEhERaW16i1/8Vnt/S6mi1snn20uYv6mI/LqtVS0GnJMeyRW9Y+kVH9qir2ceKsD8bB7mV4uhqtJ9MCoG4yeXY4y8FCMiqkVf73S097aVxqldA5faNnD561v8CqjitwLlF6LTZbJm/xHmbSpi3YEKz/Fe8SH8tFcsw9MjsbXgdqpmRTnmV4sxl8yD4kPug0FBGOeOxhg9DiMxpcVe61QFStuKN7Vr4FLbBi4F1DaigBo4AvEX4o6iKuZvKuLLnaU46vZTjQuzMTarExdlxhAR3HLbqZoOB+bqZZiL58KeHe6DhgGDzsYyZjxGZp8We63mCsS2FbVrIFPbBi4F1DaigBo4AvkXYnGlg4Vbivn3liJKqpwA2CyQFRdK/6Qw+ieF0Ts+lOAWmFhlmqZ7bOriD2H9mqNPdO+F5aIJMOgs9yYBbSiQ27YjU7sGLrVt4FJAbSMKqIGjI/xCrHW6+GpXGfM2HWZHUbXXc/WBtV+iO7D2STj9wGru24356YeYK5eCw71+K8Gh0LkLRmpXSE3H6NwVUru6x6+20taqHaFtOyK1a+BS2wYuBdQ2ooAaODrSL0TTNMk/Usv6AxWsP1DBugMVHKrbAKCezQI940LpXxdYeyeEnvLSVWZJEebnH2N++QmUlzVeKCISOnfFSE2v+9wVOqdjhEec0mseqyO1bUeidg1catvApYDaRhRQA0dH/oXoFVgP1gXWisYDa7/EMM44xcBqOp1wcD/s2+XuXd2/C/bthoN5YLoaPykmzt3Tmtr1aIBN6YIRHNLk1+3IbRvI1K6BS20buPw1oGodVBE/ZBgGKZFBpEQGMSYzBtM0OXCk1hNW6wPrxoJKNhZU8t4Ph7AadT2sSU0PrIbVCild3AFz6NHjZk015O/F3LfbHV73uz9zuMC9MkDxIcwfvnOXdVcY4pMgtWvdEIG6AJvUGcN2+uu+iohIx6KAKtIOGIZBcmQQyZFBjO7hHVjrhwQUVjjYVFjJpsKjgTUzLpQzjpl0FWpvWg+rERQM6T0w0r23TjUryiFvD+a+XbB/t/vzvl1QVgIF+VCQj/n9SndZAKsVklKPDg+oG+dKQnILf4dERCSQKKCKtEONBdaD5bWsO+AdWDcXVrK5BQKr53XDwqFHb4wevb2Om6XFdYF1N+zbebTHtarSfXz/bne5+hOCgikcdi6uAWdD/yEYdvWyiojIURqDKn5LY55O3bGB9YeDFazLr6DguDGs7sAaQmK4HZfpDo8u08Q0cT82TVwmuOqu5z5uHlP2aHmTurLHnmeamE4nLocD0+HA5XTicjoxnS4MTNLKD5BZtpee1QfJ6tGZuLPOgZ593du4Srukn9nApbYNXBqDKiJtxjAMkiKCSIpw97ACHDhSc3TSVV1g3VxYxebCqlaujQUIAgP3b5y63zqHg6PJic3ylIpdXkzmZwvIig2hZ78e9OzVjfCgtl2fVURE/IMCqkgHUR9YRx0TWH84WEl5jRPDAAMDiwEWw8AwOPo11D12P28YYKFhGYul7rNxTHncYfn4sg4TDruC+XZbHlv3F7O7wuBwcAyrgmNY5QRyaiFnC6mWanomR5LVuRM940LI6BSM3aoeVhGRQKeAKtJB1QdWX6h/S2l4ogXT7EyVw8XWg2VsWb+N3H2H2eYK40BILPtcwezbX8PS/QcAsBnQrVMIPeNCyIoPpWdcCKlRQVhaaUMBERHxDQVUEfG5EJuF/p2j6d95MABm+RGKv/2GLes2s6XUxdbILmyNTKM0KIKth6vYeriKT7YUAxBqs5AZVxda40LpGR9CXKit1XbBEhGR1qeAKiJ+xwiPoNPI0Zw5cjTDDhdgrvoPrpX/4mBhCVsi09kS1YWt0V3ZHplKpcPmWRu2XqcQKz3reliz4kLJjA0hIljjWUVE2otTCqiLFi1i3rx5FBcXk5aWxuTJk+nTp0+jZVeuXMnixYvZuXMnDoeDtLQ0rrrqKgYOHOhVrry8nLfffptVq1ZRXl5OYmIi1113HYMHDz6VKopIgDBiEzAu+RmWS35Gyr5dJK9cynkr/wPbFuA0LOwJS2RLUm+2dh3MlrBkdldAUZWTVXuPsGrvEc91Okfa6RIdjN1qYDUMrBb3mNj6r611Y2ytFsN9vO6Y1TCw1H/t+VxX9phzvMsZWOuft0BkkJWEcDvBp7g1rYhIR9PsZaZWrFjBiy++yM0330yvXr1YsmQJn332Gc8//zzx8fENys+cOZNOnTrRr18/wsPD+eKLL5g/fz7Tpk0jIyMDAIfDwdSpU4mKimLChAnExcVx6NAhQkJC6NatW7NuSMtMBQ4taxK4TrdtTZcLtm7EXPkl5uplUHE0iFZ3zmDH4DFsTe3Plio7Ww5VkX/EP34nRAdbiQ+3kxhuIyHcTmK4ve6xnYRwO5FBlnY9NEE/s4FLbRu4AmaZqQULFnDhhRcyatQoACZPnszatWtZvHgxkyZNalB+8uTJXo8nTZrE6tWrWbNmjSegfv755xw5coQ//elP2GzuKjWl8iLSMRkWC2T1w8jqh3nNr2H9GsxvvsTM+Zbg/Tvovf/v9Ab3pgJnjaTs3OFsq7GTf6QWp8u9TqvTNHG53J+dponT5V671ekycZp4lfP++rhyponrmHOc9evF1l3b4TIpqXJS6XBRUu2kpNrJtsON31eIzSA+7GhgdX92h9mEcDuxoTaslvYbYEVEmqpZAdXhcLB9+3bGjx/vdTw7O5vNmzc36Roul4vKykoiIiI8x9asWUPPnj2ZMWMGq1evJioqinPPPZfx48dj0aLdIvIjDJsdBp6NMfBszMoKzP9+jblyKWxaB9s2YW7bRIT1NQb0G8zAYedj9B2AEdWpTetomiblNS4KKmo5WF5LQXktBeUOCsqPPi6uclLlMNlbWsPe0ppGr2M1IC7saGitD7IJ9UE2TMMIRCQwNCuglpaW4nK5iI6O9joeHR1NcXFxk66xYMECqqurGT58uOfYgQMHKCgo4LzzzuPBBx8kLy+PGTNm4HK5mDhxYqPXqa2t9Xor3zAMQkNDPV9L+1ffjmrPwNNabWuEhcN5o+G80ZjFhzBXfYXrm6WwexvkfIuZ8617u9XOXTB6ZWP0zsbo1R8jIqpF69GgXoZBZIiFyBAb3WNDGy1T43R5gmt9aD1YXkvhMZ+dJhysewyVjV4nOsRKQpg7tIbYLNitBjaLgd1iYLO6P3uOHf/YYmC3WhqUtVu8y9uOOXZsG+pnNnCpbQOXv7btKU2SauwmmnJjy5YtY86cOdx///1eIdc0TaKiorj11luxWCx0796doqIi5s2bd8KAOnfuXN577z3P44yMDKZPn66hAQEoOTnZ11WQVtKqbZuSAn36ww2/oXbPTiqWfkLlqq+o3bEF9u/B3L8H84uPwTCwd+tJ8IChhGQPJbj/YCzhESe/fivo+iPPOV0mheXV5JdWk19aSV5pFfkl1eSXVdV9XUVFrZOSKvfH1sOtvUOYm91qEGS1YLNaCLIaBFm3E2SzEmyzeD6CbBZCbFaCrEcfH33eekwZi+fcIGv946Nljr1ekLV9j9dtr/T7OHD5W9s2K6BGRUVhsVga9JaWlJQ06FU93ooVK3j11Ve59957yc7O9nouJiYGm83m9XZ+amoqxcXFOBwOz7jUY02YMIGxY8d6Htf/oiooKMDhcDQoL+2PYRgkJyeTn5+vQfkBps3b1hYMo8fD6PFYj5Rh5q7H3JSDuSkH9u+mdkcutTtyOfLhLDAs0LWHu3e19xkYmX0xQhrv9fSFRAskxkB2TDAQDLh7f03T5EiNy9P7eqiilhqnSa3TpNbl/uxwmdS6XO5jnsfeXzuOL+90eT12Htdc7ms5AWcbfyeoC8TugBweZCEq2EZ0iJWoYCvRITaigo9+XX88KtiG3apg21z6fRy42rptbTZby0+SstlsdO/enZycHM4880zP8ZycHIYNG3bC85YtW8Zf//pX7rrrrkaXjerVqxfLly/H5XJ5QmpeXh6dOnVqNJyCexaY3W5v9Dn98AQW0zTVpgHKJ20bHoEx6GyMQWe761BahLl5PWxa5w6sB/fDzi2YO7dgLnwfrFbo1rNuSMAZ7olXQcFtW+cmigiyEBEUTPdOrVc/p+uYMHt8uHVBVEwseQcLqHa4g3C10/25xmlS43TVfW74tbusSY3DHYhrHCY1LlfdZ/fxGqfJsf9a6s8HF4crARofu3u8cLuFqBCrd6A9JtRGH/ecxvUepd/Hgcvf2rbZb/GPHTuWF198ke7du5OVlcWSJUsoLCxkzJgxAMyaNYvDhw9z5513Au5w+vLLLzN58mSysrI8va9BQUGEhYUBcNFFF7Fw4UJmzpzJJZdcQn5+PnPnzuXSSy9todsUEWmcEdUJY9j5MOx8AMyiQ5ibc2BTDuamdXDooGeylfnvd8Fmg+69MXqdgdE7G7pnuSdqdRBWi3ud18YisHu5mmgSLBWt8h+dabpD8NFAezT8HqlxD20orXZSUu2gtMq9YkJplaPus5OyGicuE8prXZTXusgra9ryYyE247jeWXeAjQq2esb5Htub6/3ZPXY32Go5OhzC4n/j/UT8TbPXQYWjC/UXFRXRpUsXbrjhBvr27QvAyy+/TEFBAY8++igAjz76KBs2bGhwjREjRnDHHXd4Hufm5vLPf/6TnTt3Ehsby09+8pNTmsWvdVADh9bdC1ztqW3NgnzMzetg8zp3YC0+5F0gKAh69KmbcHWGu7fV2jF3rfL3dnW6TMprnJ7AWlLtOCbUeofZkmonZdUOHK6Wr4fFALvlaKD1DrB1Hzb3ZLVgm4HdYiHIZhBkcR8PqpuoZrN4f9RPXHM/R8PjdX9ceJdzbypxssDs720rP87pMimrdlJc5aC02klxlZPSY/79n98rlTNiXH61DuopBVR/poAaOPQLMXC117Y1TRMO7D8msOZAWYl3oeBQ6NnXM4aVLhkYlo4RWNtru56IaZpU1LrcAbaqYc9sabWzkeEK3kMWao95zp8dDbNHvz42BNstBpFhIVhcDkJtFkLtdR/HfB1is5zwuWCroV7jFuR01b1rUO2kpMr97/LY0Fl/vP7rI9VOfuxf4M8GpHLDGVF+FVBPaRa/iEhHZBgGJKdiJKfCiEvcv8z373FPuNqcA5vXu3e1Wr8Gc/0a938IYeHuHtaMLIyMnpCRhREe6etbkSYwDIPwICvhQVZSTrPJTNM9Trc+rNY6XXUBtm587XHjbt1ljxuDW1em1uXC4QJH3ThgR9044GPHBjf+3NFzjld//EfXfjh06itDWAwIqVup4fjwGnrMsZDjHofaLQTb3D3MQVajboUH9+fgABguUT9spdbl8hqqcmy4LK1y1IXPuuPVTsqq3cNVmsMAIusmDsaEWIkKsXnGXg/vGU9Tx3C3FQVUEZFTZBgGpKZjpKbDqLHuLVj37sDctM7dy5q7HirKYd1qzHWrj/ZgJKZgdMtyj1/t1hPSu2PYg3x5K9LKDKP+7Xtf18QdipwmXgG2QbA9ZkWH+rKhkdHkHTxERa2LSoeLytq6j7qvqxzej+uPmYDLhIpaFxW1rhMt4XtKLAbu5cus7uEQ7qXMThRojz7/Y+WCrAZWw/CsXlFzzFjn+j8cPI9PcKzGdezkwKM96fV/pHgeHzfxr7kigizuVSqOm9wXHWIl2vO1+/nIYGujO9G53/mIIy8v7zRq0vIUUEVEWohhsUB6D4z0HnDReEynE3Zvw9y+GXbkYu7Y4l4l4GAe5sE8WPWl+z8nqw3SumFkZEFGT4yMXpDU2X09kRZmGAY2w/1WflNTgDvEJJEX3bxxii7TpNphNgyxxwZZh/OYQGt6H3O4qHa4A2C1o26lB6fL03voMqHK4aLKAVQ3/3vhb8LsluPCpTt0xoR4L5lWv+KELYC3PlZAFRFpJYbV6n5LPyPLc8wsL4MdWzB35mJuz4WdW9zjWHdtxdy1FZbiDq2hYe4JV/VDA7plYcTE+upWRE6JxTAItRuE2i3QQssJ178tXl3XC1ntcFFdtwxZdd2wiGpnfbA9/tjRco0F3+q6ck6X6VmJwe5ZjcE9Qc3rcf3z9Tut1R+zeJc5eh3LMc8dnSQXVDfe19KOhyu0NAVUEZE2ZIRHQv/BGP3da0KbpgmHDrp7V3dsdn/evRUqK2DjWsyNa4++BRgb7w6q9b2sXXv41SYCIm3BMAzsVrB30NUyOgoFVBERHzIMA+KTMOKTYNh5AO6hAft2Ye7Mdfe27siF/XvgcCEcLsT87wp3aDUs0LnL0aEB3bIgtWuHXeZKRAKHAqqIiJ8xrFb3xKn07nDBJQCYVRWwa7t7aMCOXNiR6w6s+3Zh7tsFyz51h9agIEjPdE++SkrBiEuCuASIS8QIDvHpfYmINJUCqohIO2CEhEGv/hi9+nuOmcWH3duy7qgLrTu3QmU5bN2AudW9QYrXdJaIKIhLdIfV+tBa95i4BIywiLa9KRGRE1BAFRFpp4yYWBh4FsbAswDcy1wd3O+efLV7G2bhAThU4N6utbIcjpS6P3Zt9QRXrwAbGn60t7U+tHoCbCJERLXrNSdFpP1QQBURCRCGxQLJaRjJaXDOhV7PmRXlcPggFB7EPFQAhw7UfT7o/jhS6g6xe8th787GA2xQ8NHe1vrQGpvgHj8blwDRWmVARFqGAqqISAdghIVDWAakZdBYH6hZXQWHC+oC7EFPcDXrjlFyGGqqIW8P5O3xCq6er2028hJTcHZKgIRkSEjGSEyGhBSIT8YIDm79GxWRgKCAKiIi7glUKV0gpUvjAba2FoqOD7AFmHW9shQdAocDx/497hUH6s879iIxse7QmpByTICt+zo8UsMHRMRDAVVERE7KsNshsTMkdm48wDqdGCWHiXXWcmjTesyCPDiYj1mQDwX57uEDxYeh+DDmlg1Hz6v/IjS8LrwmQ12vq5FQ1/vaKU67aol0MAqoIiJy2gyrFSMukZCUFCyJqV7bYZqmCeVlUJDv3uK1LrSaBXVfFx92B9jd2zB3bzt6Xv0XNhvEJx0TWut6YROT3WvI2oPa9mZFpNUpoIqISKsyDMO9xFVElNe2r/XM6mooPAAFeZ4A6wmvhw6CwwH5+yB/X8PJW4YBneLcY2uz+mH07AfpPTBs+u9NpD3TT7CIiPiUERwMqemQmt5g+IDpdLonbxXUDxfIc38+WDd0oLry6A5bOd+6g2twCPTojZHV3x1YM7LcQxREpN1QQBUREb9lWK1HJ1Qd95xpmlBW4ln71cxdD1s2QMUR2PA95obv3YHVZofuvdyBNasfdO+tFQVE/JwCqoiItEuGYUBUDETFYGT2hYvGuzcr2L8LM/cHd2DN/cEdYnPXY+audwdWqw26ZdYNCegPmX0wQsN8fDciciwFVBERCRiGxeIej5qWAReOdfey5u/D3LIeNteF1uJDsG0T5rZNmJ+8D4YF0ru7A2tWP+jZDyM80te3ItKhKaCKiEjAMgwDUtIwUtLggkvcgbXwAGbuD+5e1S0/uMey7tqKuWsr5qcfuU9M7Xp0SEBWP4yoTr69EZEORgFVREQ6DMMwjq63eu4oAMzDhe6gmrveHVzz98K+XZj7dmF+8bH7xORUjKz+7t7VrP4YsfE+vAuRwKeAKiIiHZoRG49x1gg4awQAZmkRbNlwdBzrvl3uYQL5++A/i9zjWOOT3CsEpHbFSEqBpFT3dq5aLUCkRSigioiIHMOI6gRDzsUYci4AZnmZO7Bu+QFz83rYvd09TKDwgPt5z4kWiI2HpM4YiZ3dn5Pcu28Rl6i1WUWaQT8tIiIiP8IIj4SBZ2EMPAsAs6oCtronWXFgH+aB/XBwP1RVujcWOHQQc8P37rL1F7FaIS6pLrymeIVYYuMxLFaf3JuIv1JAFRERaQYjJAz6D8boP9hzzDRNKC2GA/sxD7oDq3lgPxzYDwV5UFPjDrEH9zfcDctmg4QUSEzBSEqFpBR3eE3sDJ3i3ONmRToYBVQREZHTZBgGRHeC6E7umf/HMF0uKD58NLR6Pue5w6vDAXl7IG9Pw/AaFAyJKZDY2T3WNbEzRnIqdE7HCItoy1sUaVMKqCIiIq3IsNSNTY2Nx+id7fWc6XLCoQI4mOfueT1wNMRSeABqqmHvTti7s2F4jYlzB9XU9LrPXSGlC0ZIaBvenUjrOKWAumjRIubNm0dxcTFpaWlMnjyZPn36NFp25cqVLF68mJ07d+JwOEhLS+Oqq65i4MCBnjJLly7llVdeaXDum2++SVBQ0KlUUURExO8ZlmO2cu03yOs50+Fwj2k9sK8uvNaF2Ly9UFTo3nCg+BDmhu/c5etPjEs8Glg7p2N0TnevBRuk7V2l/Wh2QF2xYgUzZ87k5ptvplevXixZsoRp06bx/PPPEx/fcF24jRs3kp2dzTXXXEN4eDhffPEF06dPZ9q0aWRkZHjKhYaG8sILL3idq3AqIiIdlWGzuSdRJXXm+FGoZkW5e0jAvl2wfzfm/t2wfzeUFB2dqLVutbssuFcYSEiCzl3dgTW1Lrgmp2LYtDSW+J9mB9QFCxZw4YUXMmqUe4HjyZMns3btWhYvXsykSZMalJ88ebLX40mTJrF69WrWrFnjFVANwyAmJqa51REREelwjLBw6NEbo0dvr+PmkVJ3YN23uy64ugMsR8rcY14P5mF+/427LLhXF0js7A6rx/S6kpiCYdXKAuI7zQqoDoeD7du3M378eK/j2dnZbN68uUnXcLlcVFZWEhHhPbi7qqqK22+/HZfLRbdu3fj5z3/uFWCPV1tbS21treexYRiEhoZ6vpb2r74d1Z6BR20bmNSuvmdERkOvM9wfdepXGDD373bvkLV/t6fnlcoKd09s3h5Ys9x7ZYHkNIzUuh7XtG7U1vQHpwkhYWrjAOKvP7fNCqilpaW4XC6io6O9jkdHR1NcXNykayxYsIDq6mqGDx/uOda5c2duv/120tPTqays5N///jdTp07lz3/+MykpKY1eZ+7cubz33nuexxkZGUyfPp2EhITm3JK0A8nJyb6ugrQStW1gUrv6oc6doXdfr0OmaeIsPEDtru3U7tpG7W73Z8fu7ZjVVe6JWcdMzsqv+2wEh2CNS3B/xCZgjUs8+jiu7nFsPIZdw/TaE3/7uT2lSVKNpeymJO9ly5YxZ84c7r//fq+Qm5WVRVZWludxr169+N3vfscnn3zCTTfd1Oi1JkyYwNixYxu8fkFBAQ6Ho8n3Iv7LMAySk5PJz8939wBIwFDbBia1azuVmuH+OMf90OJyucew7tsN+3dh7nOPcbUUFeI6UopZXYVj/x4c+/f8+HUjotzruEbHQqc4iInD6BQHMbEYMXHuY+GR7lUOxGfa+ufWZrM1qTOxWQE1KioKi8XSoLe0pKSkQa/q8VasWMGrr77KvffeS3Z29o+WtVgs9OjRg/z8/BOWsdvt2E+w57F+MQYW0zTVpgFKbRuY1K7tnGFAfBJGfBIMGIaBO8SkpKSwf+cOzOLD7tUDig5ByWEoqntcd5ziw+CohSOlcKQUc88Oz6Ub/Kuw2iAm1vPhCa7Rse4wGx0LEZEQFq7dtlqZv/3cNiug2mw2unfvTk5ODmeeeabneE5ODsOGDTvhecuWLeOvf/0rd911F4MHDz5huXqmabJr1y66dOnSnOqJiIhIKzKCQ+o2DkhpsLJAPdM0obzMHVaLDmPWh9ZjQ2zRISgrAafDs+oAeAfYBlEpNAzCIiA8wv05LAIjPALCwuuOR9YdC/c8T3gEhIYp3LZDzX6Lf+zYsbz44ot0796drKwslixZQmFhIWPGjAFg1qxZHD58mDvvvBNwh9OXX36ZyZMnk5WV5el9DQoKIiwsDIA5c+bQs2dPUlJSPGNQd+7cya9+9asWuk0RERFpC4ZhuN/ej4iCtIwTB1mHw70sVl2A9Qqy9b2zxYehqtJ9QmWF+6MuzEIjIbaxY4ZxNNx6Am64eyeuulBLeN3j+ucjot27gtm0n5GvNPs7f84551BWVsb7779PUVERXbp04cEHH/SMJygqKqKwsNBTfsmSJTidTmbMmMGMGTM8x0eMGMEdd9wBQHl5OX//+98pLi4mLCyMjIwMHnvsMTIzM0/3/kRERMQPGTYbxCW4P+DHg2xlOZQfgYojUH4Es+Lo140fK3f34tZUg2m6H1eUAweOXvf412lQQYt76EFsPEZsAsQmeH8dl+DusfWz2e+BwjD9acBBCygoKPBafkrar/oxT3l5eX41LkZOn9o2MKldA1d7bVvTUVsXWsvrPpe5g2z9Y8+xYwJwxREoK3UPPziZ4BB3WO0UjxGXULelbcLRENspHuME82X8RVu3rd1ub/lJUiIiIiLthWGzQ1Qn90f9sSacZ7pcUFoMhwvgcAHm4cK6zwVQ9zVlJVBdBXl73GvJHnv+sReLiqnrfa0LrnHxGJ3qe2HjITJGvbCNUEAVEREROYZhsRxdXaB7r0ZDrVlT7Z7sVR9cD9WF2aJCT7ClpsYddEuLYecWT3D1CrA2+9Ge107xdV/Xh9h4dy9sWHhr37LfUUAVERERaSYjKBiSOkNS58YDrGm6t5g9rhf2aE9sgXuSmKP26Da0x55/7MVCQqEuvBp1QwfcIbYu0HZKwAgObt0bbmMKqCIiIiItzDAMiIxyf3Tt0XiIddS6Vyo4XIBZ1wNLUaE7zBYVuocTVBxxr2RwsqEEEZF1wfWYnthO8Rh1n+kU5x7y0E4ooIqIiIj4gGGzQ3ySe2OEE5Qxq6vcQbWovhe2sGGIra5099YeKYM9OxoPsYbhHg97XO+rEZtA7cChYA9t1XttLgVUERERET9lBIdAShqkpJ14KEFluWfy1rHB1TMetuiQeyhBSZH747jxsGVjroCf/7oN7+rkFFBFRERE2inDMI5uQpDW7cQhtqzkaHCt65GtD7H2jJ5Ut3nNf5wCqoiIiEgAM+rf3o+Kga6ZXiHWMAwiU1I4kpfno9o1zuLrCoiIiIiIHEsBVURERET8igKqiIiIiPgVBVQRERER8SsKqCIiIiLiVxRQRURERMSvKKCKiIiIiF9RQBURERERv6KAKiIiIiJ+RQFVRERERPyKAqqIiIiI+BWbryvQ0my2gLulDk9tGrjUtoFJ7Rq41LaBq63atqmvY5imabZyXUREREREmkxv8Yvfqqys5He/+x2VlZW+roq0MLVtYFK7Bi61beDy17ZVQBW/ZZomO3bsQJ38gUdtG5jUroFLbRu4/LVtFVBFRERExK8ooIqIiIiIX1FAFb9lt9uZOHEidrvd11WRFqa2DUxq18Cltg1c/tq2msUvIiIiIn5FPagiIiIi4lcUUEVERETEryigioiIiIhfUUAVEREREb+iTXXFp+bOncuqVavYt28fQUFBZGVl8ctf/pLOnTt7ypimyZw5c/jss884cuQIPXv25Fe/+hVdunTxYc2lOebOncvbb7/NZZddxuTJkwG1a3t2+PBh3nzzTb7//ntqampISUnhN7/5Dd27dwfUtu2V0+lkzpw5fPXVVxQXF9OpUydGjhzJlVdeicXi7s9S27YPGzZsYN68eezYsYOioiJ++9vfcuaZZ3qeb0o71tbW8sYbb7B8+XJqamro378/N998M3FxcW1yD+pBFZ/asGEDF198MU8++SQPP/wwLpeLJ554gqqqKk+Zjz76iI8//pibbrqJp556ipiYGJ544gm/25ZNGrd161aWLFlC165dvY6rXdunI0eOMHXqVGw2G3/4wx947rnnuP766wkLC/OUUdu2Tx999BGffvopv/rVr3j++ef55S9/ybx581i4cKFXGbWt/6uurqZbt27cdNNNjT7flHacOXMmq1at4q677uLxxx+nqqqKp59+GpfL1Sb3oIAqPvXQQw8xcuRIunTpQrdu3bj99tspLCxk+/btgPuvvH//+99MmDCBs846i/T0dO644w6qq6tZtmyZj2svJ1NVVcWLL77IrbfeSnh4uOe42rX9+uijj4iLi+P2228nMzOTxMREzjjjDJKTkwG1bXuWm5vL0KFDGTx4MImJiZx99tlkZ2ezbds2QG3bngwaNIhf/OIXnHXWWQ2ea0o7VlRU8Pnnn3P99deTnZ1NRkYG//M//8Pu3bvJyclpk3tQQBW/UlFRAUBERAQABw8epLi4mAEDBnjK2O12+vbty+bNm31SR2m6f/zjHwwaNIjs7Gyv42rX9mv16tV0796d5557jptvvpkHHniAJUuWeJ5X27ZfvXv3Zv369ezfvx+AnTt3snnzZgYNGgSobQNFU9px+/btOJ1Or9/dsbGxpKenk5ub2yb11BhU8RumafLPf/6T3r17k56eDkBxcTEA0dHRXmWjo6MpLCxs6ypKMyxfvpwdO3bw1FNPNXhO7dp+HTx4kE8//ZTLL7+cCRMmsHXrVl5//XXsdjsjRoxQ27Zj48aNo6KignvuuQeLxYLL5eIXv/gF5513HqCf20DRlHYsLi7GZrN5OouOLVN/fmtTQBW/MWPGDHbv3s3jjz/e4DnDMLweawM0/1ZYWMjMmTN56KGHCAoKOmE5tWv743K56NGjB5MmTQIgIyODPXv2sHjxYkaMGOEpp7Ztf1asWMFXX33FlClT6NKlCzt37mTmzJmeyVL11LaB4VTasS3bWgFV/ML//d//sWbNGh577DGvGYIxMTEAnhml9UpLSxv89Sf+Y/v27ZSUlPD73//ec8zlcrFx40YWLlzI//7v/wJq1/aoU6dOpKWleR1LS0tj5cqVgH5m27M333yTcePGce655wKQnp5OQUEBH374ISNHjlTbBoimtGNMTAwOh4MjR4549aKWlpbSq1evNqmnxqCKT5mmyYwZM1i5ciWPPPIIiYmJXs8nJiYSExPjNSjb4XCwYcOGNvshkeY744wz+Mtf/sIzzzzj+ejRowfnnXcezzzzDElJSWrXdqpXr16eMYr19u/fT0JCAqCf2fasurras5xUPYvF4uk1U9sGhqa0Y/fu3bFarV5lioqK2L17N1lZWW1ST/Wgik/NmDGDZcuW8cADDxAaGuoZ2xIWFkZQUBCGYXDZZZcxd+5cUlJSSE5OZu7cuQQHB3vGRYn/CQ0N9YwjrhccHExkZKTnuNq1fbr88suZOnUqH3zwAeeccw5bt27ls88+45ZbbgHQz2w7NmTIED744APi4+NJS0tj586dLFiwgJ/85CeA2rY9qaqqIj8/3/P44MGD7Ny5k4iICOLj40/ajmFhYVx44YW88cYbREZGEhERwRtvvEF6enqDSa+txTA1eER86Oqrr270+O233+4Z81S/oPCSJUsoLy8nMzOTX/3qVw0CkPi3Rx99lG7dujVYqF/t2v6sWbOGWbNmkZ+fT2JiIpdffjmjR4/2PK+2bZ8qKyuZPXs2q1atoqSkhNjYWM4991wmTpyIzebuz1Lbtg8//PADjz32WIPjI0aM4I477mhSO9bU1PDmm2+ybNkyr4X64+Pj2+QeFFBFRERExK9oDKqIiIiI+BUFVBERERHxKwqoIiIiIuJXFFBFRERExK8ooIqIiIiIX1FAFRERERG/ooAqIiIiIn5FO0mJSLuydOlSXnnllRM+/8c//pF+/fq1YY28HTx4kDvvvJNf/vKXXHHFFT6rR0sKxHsSEf+mgCoi7dLtt99O586dGxxPS0vzQW1ERKQlKaCKSLvUpUsXevTo4etqSAtyOBwYhoHVavV1VUTExxRQRSRgXX311Vx88cWkp6ezYMECCgoKSEpKYuLEiZx77rleZXfv3s0777zDxo0bqampoXPnzlx++eWMHDnSq1x5eTnvv/8+q1at4vDhw4SFhdGjRw+uv/56UlNTvcouWLCATz75hNLSUtLT07nhhhvIysr60TrXD2F45JFH+Prrr/nmm28wTZO+ffty0003ERsb63V/EydO5Oqrr/a6xh133EHfvn254447Glxz2bJlrFq1CqfTybBhw7j55pupqqri//7v/8jJySEoKIjzzjuPSZMmefZfr2eaJh988AGffvoppaWldOnShWuvvZYzzjjDq1xeXh7vvvsu69ato6KigqSkJC6++GIuueQST5n6vcLvvPNOdu7cyfLlyykuLua5555r8H0UkY5HAVVE2iWXy4XT6fQ6ZhgGFov33M/Vq1fzww8/cPXVVxMcHMzixYt54YUXsFqtnH322QDs37+fqVOnEhUVxY033khERARfffUVr7zyCiUlJYwbNw6AyspKHnnkEQ4ePMi4cePo2bMnVVVVbNy4kaKiIq9gtWjRIlJTU5k8eTIAs2fP5qmnnuLll18mLCzspPf3t7/9jUGDBjFlyhQOHTrEG2+8wYsvvsgf//jHU/6evfrqq5x55pncfffd7Nixg7fffhun08n+/fs566yzGD16NOvWreOjjz4iNjaWsWPHep2/cOFCEhISmDx5MqZp8tFHHzFt2jQee+wxT/Deu3cvDz/8MPHx8Vx//fXExMTw/fff8/rrr1NWVsZVV13ldc1Zs2aRlZXFr3/9aywWC9HR0ad8fyISOBRQRaRdeuihhxocs1gsvPPOO17HysrKeOqpp4iJiQFg8ODB3HfffcyaNcsTUN99910cDgd//OMfiY+P95SrqKjgvffeY8yYMYSFhfHxxx+zZ88eHn74YbKzsz2vcdZZZzWoS2hoKL///e89gblTp0784Q9/4LvvvmvQe9uYAQMGcNNNN3keHzlyhDfffJPi4mLPvTTX4MGDuf766wHIzs4mNzeX5cuXc/3113vCaHZ2NmvXruWrr75qEFBdLhcPP/wwQUFBnjrecccdzJ49m6lTpwLwz3/+k9DQUB5//HFPEM/OzsbhcPDhhx9y6aWXEhER4blmUlIS99577yndj4gELgVUEWmX7rzzzgZvBRuG0aBc//79vQKdxWJh+PDhvPfeexw6dIi4uDh++OEH+vfv7wmn9UaMGMF3331Hbm4uAwcO5PvvvyclJcUrnJ7I4MGDvXpzu3btCkBBQUGT7m/o0KFej9PT0z3nn2pAHTJkiNfj1NRUvv32WwYPHtzgeE5OToPzzzrrLE84BXcIHzJkCMuXL8flcuFwOFi/fj1jxowhODjYq4d70KBBLFy4kC1btjBo0CCva4qIHE8BVUTapdTU1CZNkmoszNUfKysrIy4ujrKyMjp16tSgXP14z7KyMgBKS0sbhNgTObaXEMButwNQU1PTpPMjIyNP6/ym1Kl+jGljxxt7nRN9Lx0OB1VVVVRVVeF0Olm4cCELFy5stA7138t6jX3fRUQUUEUkoBUXF5/wWH0IjIyMpKioqEG5w4cPe5WLiori0KFDrVPRU2C323E4HA2OHx8CW8qJvpc2m42QkBCsVisWi4ULLriAiy++uNFrJCYmej1urNdbREQ7SYlIQFu/fr1XsHK5XHz99dckJSURFxcHuIcBrF+/3hNI6/3nP/8hODjYMwFo4MCB5OXlsX79+jar/49JSEhg165dXsfWr19PVVVVq7zeypUrvXpWKysrWbNmDX369MFisRAcHEy/fv3YsWMHXbt2pUePHg0+ju8ZFhFpjHpQRaRd2rNnT4NZ/ADJyclERUV5HkdGRvL444/zs5/9zDOLf9++fdx9992eMldddRX//e9/eeyxx5g4caJnFv9///tffvnLX3om+1x++eV8/fXXPPPMM4wfP57MzExqamrYsGEDgwcPpn///q1+38e64IILmD17NrNnz6Zv377s3buXhQsXNmmVgFNhsVh44oknGDt2LC6Xi48++ojKykqvmfk33ngjU6dO5ZFHHuGiiy4iISGByspK8vPzWbNmzWmtQiAiHYcCqoi0Syfa7vTWW29l1KhRnsdDhw6lS5cuvPPOOxQWFpKcnMyUKVM455xzPGU6d+7Mn/70J95++21mzJhBTU0Nqamp3H777V7roNbPTp8zZw5Llixhzpw5RERE0KNHD0aPHt1q93oiV1xxBRUVFSxdupT58+eTmZnJPffcw5///OdWeb1LLrmE2tpaXn/9dUpKSujSpQu///3v6d27t6dMWloa06dP5/333+edd96hpKSE8PBwUlJSvCZHiYj8GMM0TdPXlRARaQ31C/X/6le/8nVVRESkGTQGVURERET8igKqiIiIiPgVvcUvIiIiIn5FPagiIiIi4lcUUEVERETEryigioiIiIhfUUAVEREREb+igCoiIiIifkUBVURERET8igKqiIiIiPgVBVQRERER8SsKqCIiIiLiV/4/PVVcccvHR4YAAAAASUVORK5CYII=", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 128 # number of data points in a batch\n", + "init_scale = 0.1 # scale for random parameter initialisation\n", + "learning_rate = 0.1 # learning rate for gradient descent\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "\n", + "# Reset random number generator and data provider states on each run\n", + "# to ensure reproducibility of results\n", + "rng.seed(seed)\n", + "train_data.reset()\n", + "valid_data.reset()\n", + "\n", + "# Alter data-provider batch size\n", + "train_data.batch_size = batch_size \n", + "valid_data.batch_size = batch_size\n", + "\n", + "# Create a parameter initialiser which will sample random uniform values\n", + "# from [-init_scale, init_scale]\n", + "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + "# Create affine + softmax model\n", + "model = MultipleLayerModel([\n", + " AffineLayer(input_dim, output_dim, param_init, param_init),\n", + " SoftmaxLayer()\n", + "])\n", + "\n", + "# Initialise a cross entropy error object\n", + "error = CrossEntropyError()\n", + "\n", + "# Use a basic gradient descent learning rule\n", + "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + "_ = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `init_scale = 0.5`" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.6s to complete\n", + " error(train)=3.38e-01, acc(train)=9.03e-01, error(valid)=3.17e-01, acc(valid)=9.11e-01\n", + "Epoch 10: 0.5s to complete\n", + " error(train)=3.06e-01, acc(train)=9.13e-01, error(valid)=2.94e-01, acc(valid)=9.17e-01\n", + "Epoch 15: 0.5s to complete\n", + " error(train)=2.92e-01, acc(train)=9.17e-01, error(valid)=2.83e-01, acc(valid)=9.20e-01\n", + "Epoch 20: 0.6s to complete\n", + " error(train)=2.82e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.22e-01\n", + "Epoch 25: 0.5s to complete\n", + " error(train)=2.77e-01, acc(train)=9.22e-01, error(valid)=2.75e-01, acc(valid)=9.22e-01\n", + "Epoch 30: 0.6s to complete\n", + " error(train)=2.71e-01, acc(train)=9.24e-01, error(valid)=2.71e-01, acc(valid)=9.25e-01\n", + "Epoch 35: 0.5s to complete\n", + " error(train)=2.67e-01, acc(train)=9.25e-01, error(valid)=2.69e-01, acc(valid)=9.26e-01\n", + "Epoch 40: 0.5s to complete\n", + " error(train)=2.65e-01, acc(train)=9.27e-01, error(valid)=2.68e-01, acc(valid)=9.26e-01\n", + "Epoch 45: 0.5s to complete\n", + " error(train)=2.61e-01, acc(train)=9.27e-01, error(valid)=2.66e-01, acc(valid)=9.27e-01\n", + "Epoch 50: 0.6s to complete\n", + " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.65e-01, acc(valid)=9.27e-01\n", + "Epoch 55: 0.5s to complete\n", + " error(train)=2.57e-01, acc(train)=9.29e-01, error(valid)=2.64e-01, acc(valid)=9.29e-01\n", + "Epoch 60: 0.5s to complete\n", + " error(train)=2.56e-01, acc(train)=9.28e-01, error(valid)=2.65e-01, acc(valid)=9.28e-01\n", + "Epoch 65: 0.5s to complete\n", + " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.63e-01, acc(valid)=9.28e-01\n", + "Epoch 70: 0.5s to complete\n", + " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.64e-01, acc(valid)=9.28e-01\n", + "Epoch 75: 0.5s to complete\n", + " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n", + "Epoch 80: 0.6s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.63e-01, acc(valid)=9.28e-01\n", + "Epoch 85: 0.5s to complete\n", + " error(train)=2.48e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.30e-01\n", + "Epoch 90: 0.6s to complete\n", + " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n", + "Epoch 95: 0.6s to complete\n", + " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n", + "Epoch 100: 0.6s to complete\n", + " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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w6+ugrhZOFOPq6MKsjGyMsZOxjJ0M/QbRZBg0AZSX+2L43SJY5/ZC54t5DQ0N7f51YmNjY7FYLO2qn9XV1e2qpG1sNhuLFi3illtuobq6moSEBPLy8oiIiCAmJsazn8Vi8aT8/v37U1RUxEsvvcSIESPO67zgDjdnqtDpG+zCovkOTKZpau6ClD/PremwuwNofeufulrM1o9t28y6Wmjw3kYHxREPw4CBF7mXwhozCSM1w/ucfvq1OB/+PLdy/vxxXrsUYkNDQxkwYAA7duxg4sSJnu07duxgwoQJ53xtnz59ANiyZQvjxo3zqsR+nmmanuraFzmvfHEFBQXMnz+fd955p9tudvD73/+e9evX89prrwGwZMkSampq+Otf/3rG18yfP5/hw4dz7733Au4LAG+77TbmzJnTLWMSkeBllhRCWak7fNZ3EFBPD6nNTed/olArRMdAlPuPERsPw8dg5E7AiNWFWd3FZZp8XFzPy/mVHKhoYlJmNN8a0Ye0GJuvhya9qMvtBLNnz+aJJ55gwIABDBkyhLy8PMrLy7niiisAeOaZZ6ioqOC2224DoLi4mIKCAgYPHkx9fT3r1q2jsLCQxYsXe465evVqBg4cSGpqKg6Hg08++YTNmzezcOHCTp9Xes6yZcu46aabevRuXffee2+X/4e3ZMkS7r33Xr7+9a/30KhEJNCZRUdxvfg32PFh115oWCAq2juQRsV4Pz7tc/f2WLDZ/PICmGDRYHfyxsFqXsmvpLj2VBtZ3oFq3jhYzYwBcQqzF5Auh9gpU6ZQW1vLqlWrqKysJCsrizvuuMPTu1BZWUn5aT09LpeLdevWUVxcTEhICCNGjOD+++8nJSXFs09zczNPPfUUJ0+exGaz0bdvX370ox95luXqzHmlZxQXF/Paa69xzz339Oh5YmNju/yamTNn8otf/IJNmza1uzGGiFzYzKqTmGufxXwnD0wXWCyQNeC08BntDp3RHQTU6BgIj9QNBPxISW0Lr+RXknegmkaHC4Aoq4XLB8YxOi2KdfmVfFJS7wmzl+XE8a2RfUhXmA1q53Vh16xZs5g1a1aHz51eYQXIzMzk4YcfPuvxrrvuOq677rovdN7uZpomzU7f9H6EhRhd+p/8pk2beOyxx8jPz8disXDxxRdz77330r9/f8AdRO+77z42b95Mc3MzgwcP5oEHHmDcuHGA+4YUjzzyCPn5+URGRjJ58mSeeuopAF5++WWGDx9ORoa7f6umpoaxY8fy1FNPcdlll3nG8O9//5vbb7+d7du3ExUVxQMPPMCrr75KSUkJKSkpzJ07l5/85Cdn7FH+fDtBQ0MDv/rVr3j11VeJjo7m1ltvbfeakJAQZsyYwYsvvqgQKyIAmA31mBtexMxbAy0t7o1jJ2OZdyNGWqZvByddYpom20sbWJdfwbaietp+IveNtTF7aAKX5cQRYXX/R2N832g+K2vkuZ3lfFJSz+sHq9l0SGE22J1XiL0QNDtNrl25zyfnXnntEMJDOx9iGxoauOWWW7joootoaGjgd7/7HQsXLmTjxo00NjYyf/580tLSePrpp0lOTmbnzp24XO7/yebl5bFw4UJuv/12Hn/8cVpaWnj99dc9x/7ggw88S52Bu2LaFhxPD7GrV69m1qxZREVFARAVFcUjjzxCWloae/fu5Ze//CXR0dEsWrSoU+/pvvvu49133+Uvf/kLycnJ/L//9//YsWMHw4cP99pvzJgx/M///E+nv1YiEpxMhx3zrQ2Y656Duhr3xkHDsHxzAcYg3Z48kDQ7XGw6VM26/EoKq1s82y/OiGL20ATGpEdh6aDQc1FyBL+ZkUV+eSPP7Sjn49PC7PScOK5RmA06CrFB4KqrrvJ6/Pvf/57Ro0ezb98+tm3bxsmTJ3nllVc8a/Lm5OR49n388ceZM2cOP//5zz3bTl/WrLCwkFGjRnkdf968efz4xz+msbGRiIgIamtreeONN/jf//1fzz5LlizxfJ6VlcWBAwdYu3Ztp0JsfX09zz33HI8++qinwvroo4967vB2uvT0dI4dO4bL5TrrhYIiEpxM08TctgVz9d+hrNS9Ma0vlnk3wZhJ6k8NICfq7Px7XyWvHaiirsVdaAkPNZg5II4rhyaQGRvWqeMMTYrg161hduXOcj4qrueNg9W8eaia6TmxXDMyKWDDbIPdSViIhRCL/l6DQuwZhYUYrLx2iM/O3RWHDx/mt7/9LR9//DEVFRWeKmtRURG7d+9m5MiRngD7ebt37/bcGa0jTU1NhIeHe22bOXMmoaGhbNy4kTlz5vDvf/+bqKgopk2b5tln3bp1PPXUUxw+fJj6+nqcTmenLww7fPgwLS0tXqE1ISGBgQMHtts3PDwcl8tFc3Oz525sInJhMPN34Xrh6VNrsMbGY3zjBowvXYEREuLbwUmnmKbJnhONvJxfwQfH6nC19gykRVu5amgCMwfEEWU7v7kcmhTB3Zdlsa/c3WbgDrM1vHmoJmDCrGmaHKpsZltRHVuL6th/sonwUIMhSREMT45gWHIkQ5LCibRemH/fFWLPwDCMLv1K35cWLFhARkYGDz/8MGlpabhcLmbMmIHdbm8XQD/vXM8nJia2W5/XZrNx1VVXsXr1aubMmcPq1av5xje+4bmF8EcffcSiRYv42c9+xvTp04mJiWHNmjVeldqz6coqBZWVlURGRirAilxA2q04EBaOMWsexhVzMML1b0EgaHG62Hy4hnX5lRyqbPZsH50WyeyhCYzPiO62auOQs4TZaf3dYTYj1n/CbIvTxY7SBj4squPDojpONnivP9zkMNlR2sCO0gbgJBYDchLCuCg5sjXYRtAnMrDv+tZZCrEBrqKigv3797Ns2TImTZoEwNatWz3PDxs2jGeffZbKysoOq7HDhg3jnXfe4dprr+3w+CNHjmT//v3tts+dO5cbbriB/Px83n33XX7xi194nvvwww/JzMzkxz/+sWdbUVFRp99TTk4OVquVjz76iL59+wJQVVXFwYMHmTx5ste++fn57dodRCQ4mZUnMdc+g7nldc+KA8alX8X4+rVag/U0DXYnjXYXCRGhHfaO+tLJBjvr91exYX8V1c3uW+/aQgwuy4njqqEJ9IvvXMvA+WgLs/tPuntmtxXXs+lQDW8druHS1jDb10dhtqLRwbbW0Lq9pN7rwnJbiEFuWhQTM6MZlxFFXbOTvWWNrX8aOFHv4EBFMwcqmnklvxKAlCgrw5MjuCg5guEpkWTF2fzu70J3UIgNcPHx8SQkJPDPf/6TlJQUioqKeOihhzzPX3311TzxxBPcfPPN3HHHHaSkpLBr1y5SU1MZP348P/3pT7n22mvp168fc+bMweFwsGnTJk/v6rRp0/jFL36B0+kk5LRfz11yySUkJSVx2223kZWVxcUXX+x5Licnh6KiItasWUNubi6vv/46r776aqffU1RUFNdddx33338/CQkJJCcns2zZsg57Xrdu3cr06dPP4ysncmFzNjdRfqKChLRUbH7+q8gOVxwYNwXL3O9gpPX17eD8gMNlsq+8ke2l9WwvbSC/vBGXCVaLQWq0ldRoK2nRVlKjba0f3Z+3XdnfG/LLG1n3WSVbjtbQls+SIkO5ckgCVwyKJzas9/4ODu4TwdLWMLtyZzkfFtXz5qEaNh+u4dJ+sXxrVJ9O99+eL9M0OVjZ7K62HqujoML7Bht9IkOZ0DeaCX2jGZUaSVjoqblKirTSPyGcrw1x/8etvMHO3hPuQLu3rJHDVc2cqLdzot7Om4fdFzlG2SxclOSu0g5PjmRQn3CvYwYqhdgAZ7FY+OMf/8jdd9/NzJkzGTBgAPfddx/z588H3L/6f/bZZ7nnnnv4zne+g8PhYMiQITzwwAOAe/3dJ598kkcffZQ//OEPREdHe1U72/pf3377ba+waBgGV199NX/605/4yU9+4jWmWbNm8f3vf58777yTlpYWZs6cyZIlS1i+fHmn39fSpUupr6/nu9/9rmeJrdraWq99SkpK2LZtG3/605+6+mUTuWCYTiecKIHiI5jHjnCypJQ3GuPJi7mIExGJWMwq0p11ZEeaZCXHkZ2dSlZCBH1jbVhDfPtDzr3iwPrWFQdav/8HDccyfwHGwIt8OjZfMk2To9Ut7tBaUs+uE400ta6d2sZigN1lcqymhWM1LR0eJy48pF24TYu2kRptpU/kF6/i2p0m7x6t4eX8SvafPBXShidHMPuiBCZnxvj0AqXBfSK4a3pbmD3Jh0V1vHm4hs1HeibMNju82wQqGr3bBAb3CfcE15yEsE5flJgUaeXL/a18ub97vfUGu5N95U3saQ21+WWN1Le4+Ki4no+K6wEItcDAxHCGJUcyrLUFIS488CKhYfrbjXB7QVlZmeeWtqerqak5r0X3g92KFSvYuHEjzzzzjK+H4uW+++6jtraWRx55pMP5bKN5DTyGYZCenk5JSYnf3avbX5mmCRVlUHQEs+ioJ7RSWojT4WR74mBeS5/Eh0nDcRnuqpdhujCNjoOqBZOMMJPMPtFkJ0aQFRdGdpztC4fbzsyte8WBdzBX/8N7xYFv3gS5XVtxwDRNaltcVDU6iA0PIS4sJCBXLChvsLO9xF1p3VFaT2WT0+v52LAQctMiyU2LYnRaJEmRVsob7Byvs1NaZ6e0toXSOvfj43Ut1La4znAmt9DWKu7nw21atJWUaGuHFxK1ze3eQ4Ws31fJq/urqGwNaqEWg0v7xzJ7aAIDE89+LYavFJxs4rmd5XxYVAe4/yPw5X6xXDOyD5lx5xdmTzbY2VZUz4dFtWwvbaDltDaBsBCDMenuNoGLM6JJiOiZEOlwmRyqbOKzskb2tLYhVH4uQANkxNgYnhLRGmojyYixYhiGT/49tlqtnbqZlULsaRR2OuZwOPjDH/7AzTff3KO3nu2qP/3pT8yfP5+MjAyF2CCjEHt2Zm01HDuMWXzUHVpbP9LU6LVfhS2W19PHk5c+ibLwUz2jw6JcfGVwPFMGJlF7+DBHC45QWFrJ0TonhbZEjkWl0BDa8QVSFgPSY2xkx9nIigvrcrg919ya+TtxvbDi1IoDcQkY37geY6r3igOmaVLb7KSi0eH5U9nhRycO16nzxISFeMaeHRdGVpyN7Lgw4sL9K9zWtzjZdbyBT1tbBIo+V021hRiMTIkkN90dXPvFh3WpclrX4uREnZ3SulPhtrQ14J6os3Oue/3EhYV4h9sYK/HhoXxc5mDD3uOer3lCeAhfG5LArMHxxAdIpa/gZBMrd5Wz9Zg7zBrAl/vHcm0nwqzLNDlQ0eTpbz1Q0ez1fFJrm8DEzGhGpkZi88FvO0zT5Hid3auv9mh1+2p9XFiIp6f2y8OyiHPV01sdCAqxZ6EQG1ysVqtCbJBRiHUzmxqg6OipsFp0xB1Wa6s7fkFIKM60TLZnjWdj9FC2OWJx4Q42UTYLl+XEMWtQPNlnuHjGdLmg9BiufXs4WXCAwpKTFLoiKIxMoTAqlcKo1LOG27RoG9nxttZw6A63GbE2rx/UZ5pbs+gIrlV/w7XzI2qtkVRGJ1N5ySyqhk+kwm54B9MGB5VN3uH0XKJsFhpaXJzpFTFhIWTF2siOPxVss+LCiO+lcGt3usgvb2rta61n/8kmTn97FgMGJYaTmxZFbnokFyVF9Fi7h9NlcrLBQWldi1e4bQu7Nc3Ocx5jcJ9wvj40gSnZsVi7uGykvzhQ0cTKneV8cHqY7RfLNaP6kHVamG1yuNheWs+Hx+rYVlzvVeU0gCFJp9oE+sV3vk2gN9U2O/ms7FRf7f6TTdg/9/0156JEvndxSq+MRyH2LBRig4tCbPC50EKsabdD6TF3SC1ubQcoOgInT3T8AsOApFTo2x+jbzb07UdFnyzyaiPIO1hL2WlL8gxPjuArg+KZkh1zXhdymCdPYO7fDfv34Nq/h4qT1Z5AWxjZ+jE6jYaQjn9F3BZu24JhdnwYWWnJHCg6QUWjnYrKOioOH6GirplKWwxVthgcls5X7GLDQkiMCCUhItTrY2JEKImRoSSEh5IQEYI1xEKzw0VRTQtHq5sprG772Exprf3M4dZmOVVxjj9Vwf2i4dZlmhypam7ta21g94mGdrc67xtr87QIjEyNJPo810vtbg12p3e4rXWH27IGO8MzEri8XwRD+vhny8D5OFjhbjP4fJi9KDmCj4rr2Hncu00gPNTC2PRIJvSN5uK+0QFTgT6d3emioKLJU63NP9nMreNTmJod0yvnV4g9C4XY4KIQG3yCPcSazU1wYC9m/m7Mfbvg8D5wtO9RAyA+ETL6tYbV1tCanoURFo7TZfJJST0bCqrYVnRqofhom4XLBsTxlUHxZJ9nL98Zx15bDfv3YO7f4w63hQcxXS4qbbEcjUrlWGQKhfHZFCZkU2iNp948v+AVFxbSPphGeofU+PDQbqnyfT7cFlY3c/Qc4TbaZvFUa7Pa2hPiw0g4S7gtq7ezvbSeT0vq2VHa4FliyvOew0PITYtiTFoko9OiSI4KrLU+g/379mCFu83g/cK6ds+lRFmZkOmuto5M6bkquS8YhkFaWhpFxSX01nV4CrFnoRAbXBRig0+w/TA0GxugYC/mvl3u0HqkAJyf+5VsZBT07YfRt19raO0HfbMxotpXPsrq7bx+oJrXDlRRflrVdUTKqaprb/XamU0NcCAfc/9uzP174NA+sLv760yg0hZLYXwWhdkjOZbYn0JbIi12B7EnjpDYUEFCcw0J8VH0mXgJiTn9ujWcflFt4dYdat0fC6ubKa2zc6ZOhmhP5dZdeY4NC2FvmXv5q+Ja73+nwkMNRqS4K625aZF++6vmzgq279szOVjRxOo9FVQ2ORiTHsWEvtFkx9kCeu7ORhd2+ZmzhdiYmJig/YsYrM4WYl0uF3V1dQqxASbQfxiaDXXuauW+XZj5u+DoQffi/KdLTMYYMhKGjMAYOhKS08/6b4/TZfJRcR0bC6r4qLjeE6JibBZmDIjjikHxXn16vmLa7XBkf2uldg8U7IXG+o53Ts/CMu9GyJ0YUP/utjjbwm0LR6uaPRXc0rqWM4ZbcLdWDOkT4bkYa0ifCL8I690l0L9vpWP+HGIDr1GjB4WFhdHY2EhkZKSvhyLdwOVyUVtbS1RUlK+HIkHOrK2B/btPVVqPHYbP/2OfnIYxZAQMGYkxZCRGUmqnjl1Wb+e1A1XkFVRz8rQLRka2Vl0v6cWqa2cYVisMGo4xaDh8DUyXE44dcQfa/bsxC/YQEh6BOWseTJnpteJAoLCFWMhJCCcnwbvvs8XporimxVO1PVrdTGWjg8F9IshNi2RkauQFe497kZ6gEHuasLAw6uvrqa6uDqiqwIXOZrPR0tLxYt5RUVGEhuqvuXQvs6YS9rWF1t3ui7A+L7Wvd2hNTOr08Z0uk23FdWzcX8XHJadVXcNCmDkgjisGxfX4HYW6i2EJgewBGNkDYObsoK7W2UIs9E8Ip39C8FzUJOLP9NP9c1S1CyzB/ANR/IdZedJdYW0NrpQea79TRvap9oDBIzDiE7t8nhN1rVXXA9Ved/MZlRrprrpmRQfVBSMiIl+EQqyIyOeYJ0+4e1nb2gPa7hrVxjDcKwUMHemutg4egRET1+XzNNpdHK9z//r5zUPVfFxc77kaPtZTdY2nb6zti78pEZEgoxArIhc8s7Yac+922PMJ5mc726/PaljcvxIfMsJdbR08vMNVAz7P6TKpaHS0rqnZfuH46qb2i8aPTo1k1uB4JmWq6ioicjYKsSJywTHtdvc6rXs+wdz9KRw94L2DxQL9Brl7WYeOhIHDMCI7bjU608LvpXV2TtTbz3lXqRibhZRo96L2VwyMJ0NVVxGRTlGIFZGgZ5omlBSeCq37dkGL9z3NyczBGD4GY1guDBqGEe6+vWpbNbX0eL07nLaG1JLWyuq5bsEZYkBKtJXUaBtp0dbW+8277zmfEm31m7swiYgEGoVYEQlKZm015p5PYc+nmHs+gaoK7x3iEjCGjYERYzCGjcERHc/esgYOVDRxfEc1pXXlHK9raa2mnv1csWEhnnDqHVZt9IkMJaS3bnMjInIBUYgVkaBg2u1QsAdzz6fu8Pr5FgGrzX0B1ogxGMPHQt9+1DY7+ai4ng931PFJSRkN9o7TaqgFUqJOC6cx3mFVa3+KiPQ+hVgRCUimaUJxa4vAnk9h3074/HrBmTmnQuvg4RBqpbC6ha1FdWzbc5T88kavOyzFhYcwKjWSjBibp5KaGm0lMULVVBERf6MQKyIBw6ypal1F4CwtAsPHwPCxGMNzMWITsDtNdp9oYOv2SrYV1XG8zvsWxTkJYYzPiGZCZjSD+4Rj0Y1OREQCgkKsiPgt096Cub+tReATOHrQewerzX1zgeFj3eG1bz8Mw6C6ycFHxfVs/bSIT0vqaTytqdVqMRidFsmEvtGM7xtNcpS1d9+UiIh0C4VYEfErZkMd5kfvUrb7Y5w7t7VvEcjKcYfWEWPdqwhYbZimyZGqZj7cfZIPi+rZV97I6QtbxYeHML5vNBP7RpObHkV4qNZfFREJdAqxIuJzpt0Ouz7C9f6bsONDcNhpansyLrG1RWCMp0UAwO50sfN4Ax8WVbCtqI4T9Q6vYw5ICHMH18xoBiaqTUBEJNgoxIqIT5guFxz4DPP9NzG3vQMNdaeezMgm7oqvUzdgGGZ6FkZrAK1qdLDtQBUfFtXxaUk9TY5T9VZbiMHo1EgmZLrbBJIi1SYgIhLMFGJFpFeZJYXu4PrBW963d41PxJg4DWPydIysHGIzMqgrLuZwZRMfHqtja1Ed+082eR0rISKUCX2jmNA3mty0KMLUJiAicsFQiBWRHmdWVWB++Dbm+2961m91YdAYlUD9mKnUj5pMXXoO9Q6T+mYXdXsqqN1Vw+b9Jyhv8G4TGJgYzsTWi7IGJIapTUBE5AKlECsi581lmjS0uKhrcVLX+rG+7fOGJmoLj1FXWkp9bQN1oeHUJ19FXXoE9WExNFisuGgNoJ8BnxV1eA5biEFuWhQTM6O5OCOKPmoTEBERFGJF5AzsThf55U3sOt7AyUZ7+5Da4qShxeW1CkB70RAxCCLOvIctxCDaFkK0zUK0LYQoWwjRYSFkJMYyINpkVGqk2gRERKQdhVgRAdxV1SNVzWwvrWd7SQO7TzTQ7Dx7RG1js0C0q5moxmqim+uJcjQS7WggyhpCTEYa0f1ziE5MOBVWw0JaA6sFW0j7gGoYBunp6ZSUlLjvzCUiIvI5CrEiF7ATdXZ3aC2tZ0dpA9XNTq/n48JDyE2Nom+czVMpbQufUbUVRO18n6gPN2E9XnjqRTFxGBMvxZg0HfoP8qwsICIi0p0UYkUuIHXNTnYcr2d7aQPbS+spqfW+BWt4qMGIlEhy06LITYukX3yYVwg1a6sxt73lvkDrYP6pF9psGGMuwZg8HYblYoTqnxYREelZ+kkjEsRanC4+K2v0hNaCk01ePawWAwb3iSA3LZIx6VEM6ROBNcS7cmo2N2Pu2OoOrrs/BmdrtdawwPBcjEnTMcZOwgiP7LX3JSIiohArEkRcpsmhyma2l7hbBPaUNdLyub7WzFgbuenuSuvIlEiibCEdHsusqcTMexnzzVehsf7UE/0GYUyehjHhUoy4hJ58OyIiImd0XiF2w4YNrF27lqqqKjIzM1mwYAHDhg074/7r169nw4YNnDhxgqSkJObNm8e0adM8z+fl5bF582YKC919dQMGDOD6669n0KBBnn2ef/55XnjhBa/jxsXF8ec///l83oJI0Dhe18L20gY+Lalnx/EGaj/X15oQEUpu2qkWgXMtUWWWH8fcsBpzSx7YW9wb+6S4K66Tp2GkZ/XUWxEREem0LofYd999lxUrVrBw4UKGDh1KXl4eDz74II888ghJSUnt9t+4cSPPPvsst956KwMHDqSgoIAnn3ySqKgoxo8fD8CePXuYOnUqQ4cOxWq1smbNGu6//36WL19OYmKi51hZWVksXbrU89hi0bI7cuGpaXays/RUX2tpnXdfa0SohZGpke7gmh5FVqytUxdXmUVHMNevwty6GVwu98acIViunA+jJ2Lo+01ERPxIl0PsunXrmDFjBjNnzgRgwYIFbN++nY0bN3LDDTe023/z5s1cfvnlTJkyBYDU1FT279/PmjVrPCH29ttv93rND37wAz744AN27tzpVbG1WCzEx8d3dcgiAc80TV7dX0XegSoOVjR79bWGGDA0KcLTIjC4TwShls6vCGAe+AzXqy/A9q2nNg4fg+Vr82HoKK0uICIifqlLIdbhcHDw4EGuvvpqr+2jR48mPz+/w9fY7XasVu9fX9psNgoKCnA4HIR2cBVzc3MzDoeD6Ohor+2lpaXceuuthIaGMnjwYK6//npSU1PPOF673Y7dfqpKZRgGERERns8l8LXNYzDPp8Nl8qcPSnntQLVnW7/4MHLTohiTHsXwlAgirR33tZ6JaZqYuz/B9e9/wb5d7o2GgTFuCpavzcfoP+jsB+hhF8K8Xqg0t8FLcxuc/HleuxRia2pqcLlcxMXFeW2Pi4ujqqqqw9fk5ubyxhtvMHHiRHJycjh48CCbNm3C6XRSW1tLQkL7C0P+7//+j8TEREaNGuXZNnjwYBYvXkxGRgZVVVW8+OKL3HXXXSxfvpyYmJgOz7169WqvPtqcnByWLVtGcnJyV962BIC0tDRfD6FH1DU7+NWanXxwpBqLAYu+PJCrRqSRFB12XscznU4a332Dmn+twH6g9T+eoaFEXXYlMfNvxJrZv/sG3w2CdV5FcxvMNLfByR/n9bwu7OoojZ8poc+fP5+qqiruvPNOTNMkLi6OadOmsXbt2g57WtesWcOWLVv4zW9+g81m82wfO3as5/Ps7GyGDBnCj370I9566y1mz57d4bnnzp3r9VzbGMvKynA4HJ17s+LXDMMgLS2N0tLSoLuzU1m9nXs3FXKkqpnwUINffKkvEzJt2GsrKKnt2rFMux3zvTdwbXgRjhe7N9rCMC6dheUrc2lOTKIZoKSku9/GeQnmeb3QaW6Dl+Y2OPliXkNDQztVcOxSiI2NjcVisbSrulZXV7erzrax2WwsWrSIW265herqahISEsjLyyMiIqJdBXXt2rWsXr2apUuX0q9fv7OOJTw8nOzsbErO8kPXarW2a2Voo2+w4GKaZlDNacHJJu5/s5DKJicJEaEsnZ7JwMTwLr9Hs6kRc/MGzNdegqoK98bIaIyZszFmzMaIjnXv56dfu2CbVzlFcxu8NLfByR/ntUshNjQ0lAEDBrBjxw4mTpzo2b5jxw4mTJhwztf26dMHgC1btjBu3DivSuzatWtZtWoVd955JwMHDjznWOx2O0VFRWdd2kskEG09Vsvv3imm2WnSLz6MpdMzSY46+7JYn2fW1WC+vg7zjXXQUOfeGJ+IccXVGJfOwgiP6IGRi4iI9J4utxPMnj2bJ554ggEDBjBkyBDy8vIoLy/niiuuAOCZZ56hoqKC2267DYDi4mIKCgoYPHgw9fX1rFu3jsLCQhYvXuw55po1a1i5ciW33347KSkpnkpveHg44eHhAPz9739n/PjxJCUlUV1dzapVq2hsbPRavUAk0K3Lr+AvH53AZcKY9Cj+88sZXbpoy6wox3ztJczNG6Cl2b0xJQPjq/MwJl+GcYbfTIiIiASaLofYKVOmUFtby6pVq6isrCQrK4s77rjD07tQWVlJeXm5Z3+Xy8W6desoLi4mJCSEESNGcP/995OSkuLZZ+PGjTgcDpYvX+51rvnz53PNNdcAUFFRwWOPPUZNTQ2xsbEMHjyYBx54QBdpSVBwukye/vgEL+dXAvCVQXHcOiGt00tlmaXHMNe/6L41rLO13zt7gHuZrHGXYFi6tnqBiIiIvzNMf2tw6AVlZWVeS29J4DIMg/T0dEpKSvyuV6ezmhwulm8p5oNj7l/73zgmmXnDEzt3g4IjBbj+/QJ88h60vf+ho7B89ZswYqxfLonSGcEwr9IxzW3w0twGJ1/Mq9Vq7f4Lu0Ske1U2Orj/zWMUVDRhtRj8+JJ0vtw/9qyvMU0T8ne6b1Cw59NTT+ROdK/xOvCinh20iIiIH1CIFfGRo1XN3PdmISfqHcSEhXDnpX0ZlhJ5xv1Nlwu2b3WH10P73BstFoyJ09w9r33PvqKHiIhIMFGIFfGB7aX1LNtcRL3dRUaMlbsvyyI9xnbG/c3SY7ieWg5HCtwbrDaML12O8ZW5GElnvmudiIhIsFKIFelleQeq+OMHpThNGJ4cwR3TMokN6/jCK9M0Md/eiLnyKfdqAxGRGNOvxLj86xix7e92JyIicqFQiBXpJaZp8syOcp7fdRKAS/vF8qNL0rCFtL9zHYBZW4Pr7/8Nn77v3jAsF8t3l2Ak9OmtIYuIiPgthViRXmB3unj8/VI2H64B4JqRfbhhdNIZVw8w93yC66+PQXUFhIRizPsOxuVzMDq4VbOIiMiFSCFWpIfVNDt56K1j7ClrJMSARZPSuHxgfIf7mnY75uq/Y762xr0hPQvLwp9hZA/ovQGLiIgEAIVYkR5UUtvCvZsKKa61E2m18J9f7suY9KgO9zWLjuJ66ndw7DAAxvQrMeZ/FyMsrPcGLCIiEiAUYkV6yN6yBh58q4iaZifJkaHcfVkW2fHtA6lpmphv/hvzX0+DvQVi4rDcdDtG7gQfjFpERCQwKMSK9IB3jtTw6Lsl2F0mgxLDuWt6JgkR7b/dzJpKXCuegJ3b3BtGjsOy4McYcVp5QERE5GwUYkW6kWmavLingr9/WgbAxMxofjY1g/DQ9hdkmTu34Xr6MaithlCru3VgxlUBe6tYERGR3qQQK9JNHC6TJz8sZWNBNQBfH5rAd8elEGLxDqVmSzPmCyswN73i3tC3H5bv/1x33BIREekChViRbtBgd/Lw28V8UlKPxYDvjUvh6xclttvPLDyE68+/g5JCAIzLv4Ex70YM65nv1iUiIiLtKcSKfEFl9Xbue/MYR6qaCQsx+NmXMpiUGeO1j+lyYb7+MuaLfwOHA+IS3L2vI8f5aNQiIiKBTSFW5As4UNHEfW8eo7LRQUJ4CHdNz2JQn3Cvfcyqk+7e1z2fujfkTsRy048wYuJ6f8AiIiJBQiFW5DxtK6rjt+8U0eQwyY6zsXR6FinRVq99zE/fx/W3J6CuFmw2jG/djDHtq7p4S0RE5AtSiBU5D//eV8mftx3HZUJuWiT/+eW+RNlCPM+bzU2Yz/8Vc/N694asHPfFW+lZPhqxiIhIcFGIFemAyzQ52eDgeJ2d0rqW1o92jte1UFpnp7rJCcDlA+P44cQ0Qk9bgcA8csB9563SIgCMWXMx5nwbw2rt8FwiIiLSdQqxcsFqsDs54QmndkpqT4XVE/V2HC7zjK8NMeD60UnMH9HH0xpgulyYG1djvvR/4HRAfCKW7/0EY1hub70lERGRC4ZCrAQtp8ukotFxqpJaa/eqrFY3O8/6+hADUqKtpEbbSIu2khptJS3aSlq0jbQYK5HW09oHKspx/fURyN/p3jDuEizfWYwRHduTb1FEROSCpRArAa3J4SL/eC27jtZQWuv9a393NfXsr48NC/GEU++waqNPZGi7GxV0xPxoC66//wEa6iAsHOO672NMvVwXb4mIiPQghVgJSE6Xybr8Sv5vexnNzjP/2j/UAilRp4XTGO+weno1tavMpgbM5/6MueV194b+g7Es/BlGasZ5H1NEREQ6RyFWAs6xmmYef6+U/PJGAOIjrKREhZAWZWsNqe5Kamq0lcSIzlVTu8o8mI/rqd9DWSkYBsbX5mN8/XqMUH1LiYiI9Ab9xJWA4XSZrP2sgmd2lNPiNIm0Wvjexanc+KWLKC0txTTPXJHtLmZZqfvirc0bwOWCxCQsN/8UY8jIHj+3iIiInKIQKwHhWHUzj79fQn55EwBj06NYPCmNlGhbr/SemkcPYK5/EXPbFjDdjbbGhC9jfPuHGJHRPX5+ERER8aYQK37N6TJZ81kFz2wvx+5yV19vvjiFmQPiejy8mqYJn+3Atf5F2PPJqSdGjsPy1W/CkJG6eEtERMRHFGLFbxVWN/P4eyXsO+muvo5Lj2Lx5DSSInv2pgGmywmfvI/r1VVwpMC90WLBGP9ljK/Ow8jK6dHzi4iIyLkpxIrfcbpMXtpbwbM73NXXKKuF7/VC9dW0t2C+9wbmhpfgRLF7o82GMfUKjCvmYCSn9di5RUREpGsUYsWvHG2tvu5vrb5enBHFokk9W301G+ox33oV8/WXobrSvTEyGmPGVRgzZmPExPXYuUVEROT8KMSKX3C6TFa3Vl8drdXXheNTuSwntseqr2ZVBWbeWszN66Gxwb0xMclddf3SVzDCI3rkvCIiIvLFKcSKzx2tauax90ooqHBXX8e3Vl/79FD11Swtci+T9d4b4HC4N6ZnYXz1mxgTL9VaryIiIgFAP63FZ5wukxf3nOS5nSfd1VebhYUX91z11Ty0D9f6VfDJ+9C2puygYe6VBkaNx7BYuv2cIiIi0jMUYsUnjrRWXw+0Vl8n9I3ihxO7v/pqmibs/ti9TFb+zlNP5E7E8tV5GIOGd+v5REREpHcoxEqvcrRWX1fuLMfhgiibhe9fnMr0bq6+mk4n5rZ3MNe/CMcOuTeGhGBMnIYxax5G3+xuO5eIiIj0PoVY6TWHK5t4/P0SDlQ0AzChbzSLJqWRGNF9fw3N5mbMd/MwN74E5cfdG8PCMb48C+OKb2AkJnfbuURERMR3FGKlxzlcJqt2n+T5Xe7qa7TNwvfHpzKtf/dVX826Wlyb1mG+vg7qatwbo2MxZs7GuOwqjKiYbjmPiIiI+AeFWOlRhyqbePy9Eg5WuquvEzOj+eHE7qu+mhVlVL78DM71q6HZ3V9LnxSMWXMxplyOERbWLecRERER/6IQKz3C4TJ5YfdJnt9ZjtOEmNbq66XdWX3d/iGuJ5dRZ29xb8jMcd8WdvyXMEJCuuUcIiIi4p/OK8Ru2LCBtWvXUlVVRWZmJgsWLGDYsGFn3H/9+vVs2LCBEydOkJSUxLx585g2bZrn+by8PDZv3kxhYSEAAwYM4Prrr2fQoEFf6LziGwcr3L2vh1qrr5Naq68J3dn7uuNDXP/zEDgc2IaNxjFrHgwf26O3pRURERH/0eVU8e6777JixQoWLlzI0KFDycvL48EHH+SRRx4hKSmp3f4bN27k2Wef5dZbb2XgwIEUFBTw5JNPEhUVxfjx4wHYs2cPU6dOZejQoVitVtasWcP999/P8uXLSUxMPK/zSu+zO01e2F3Ov3ad9FRfb5mQxpf7xXTvygM7t+H6kzvAGhdPIeXu5ZSWlbmX0xIREZELQpdXd1+3bh0zZsxg5syZnmpoUlISGzdu7HD/zZs3c/nllzNlyhRSU1OZOnUqM2bMYM2aNZ59br/9dmbNmkX//v3p27cvP/jBDzBNk507T63r2dXzSu86VNnELzYc5rmd7gA7OSua/549oFvbB6A1wP7xQfedtsZNwfL9X+gOWyIiIhegLoVYh8PBwYMHyc3N9do+evRo8vPzO3yN3W7HavVewN5ms1FQUICj7Zafn9Pc3IzD4SA6Ovq8zyu9Z0dpPf+54QiHKpuJCQvh51Mz+NWX+xLfje0DAObOj04LsJdg+f7PFWBFREQuUF1KADU1NbhcLuLi4ry2x8XFUVVV1eFrcnNzeeONN5g4cSI5OTkcPHiQTZs24XQ6qa2tJSEhod1r/u///o/ExERGjRp13ucFd4C22+2ex4ZhEBER4flcvriPiut46K1jtDhNctMi+enUvt3a+9rGtetUgDXGXYLlll9ihIZ65lHzGVw0r8FLcxu8NLfByZ/n9bzSRkdv5Exvbv78+VRVVXHnnXdimiZxcXFMmzaNtWvXYungXvVr1qxhy5Yt/OY3v8Fms533eQFWr17NCy+84Hmck5PDsmXLSE7Wgvfd4c39ZTzw5jEcLpMvD0zioW+MICy0+1cFaPzoPcr/8CA47ERcchl9fvVQuwpsWlpat59XfE/zGrw0t8FLcxuc/HFeuxRiY2NjsVgs7aqf1dXV7aqkbWw2G4sWLeKWW26hurqahIQE8vLyiIiIICbGewH6tWvXsnr1apYuXUq/fv2+0HkB5s6dy+zZsz2P2wJvWVnZGVsZpHPePlzD77cU4TJhanYMSyYmUVF2otvP49r1Ma7/vh8cdoyxk2m56UeUlpV5njcMg7S0NEpLS3VhVxDRvAYvzW3w0twGJ1/Ma2hoaKcKjl0KsaGhoQwYMIAdO3YwceJEz/YdO3YwYcKEc762T58+AGzZsoVx48Z5VWLXrl3LqlWruPPOOxk4cGC3nNdqtbbrx22jb7Dz98bBap54vwSXCdNzYrl9cjohlu7/mpq7P/EEWMZMwrjlFxAS2uF5TNPUnAYhzWvw0twGL81tcPLHee1yO8Hs2bN54oknGDBgAEOGDCEvL4/y8nKuuOIKAJ555hkqKiq47bbbACguLqagoIDBgwdTX1/PunXrKCwsZPHixZ5jrlmzhpUrV3L77beTkpLiqbiGh4cTHh7eqfNK73h1XyX/8+FxAL4yKI4fTkzD0gN9MuaeT3D94QFPgLXc+kuM0I7/QyIiIiIXni6H2ClTplBbW8uqVauorKwkKyuLO+64w1P2rayspLy83LO/y+Vi3bp1FBcXExISwogRI7j//vtJSUnx7LNx40YcDgfLly/3Otf8+fO55pprOnVe6XlrP6vgLx+5WwZmD01g4cUpPdLobe75FNd/PwD2FsidqAArIiIi7Rimv9WGe0FZWZnXqgVybi/sOsk/trt7UecNT+TGMck9GGDvPxVgf/CfZw2whmGQnp5OSUmJ3/2aQ86f5jV4aW6Dl+Y2OPliXq1Wa/f3xMqFxzRNntlRzvO7TgJw/agkrh3Vp2cC7N7tpwLs6AlYbj17gBUREZELl0KsnJFpmqz4pIyX9lYAcNOYZOaN6NMz59q7Hdd/3+cOsKPGY/nBrzDOcFGeiIiIiEKsdMhlmvzvh8d5dX8VAN8fn8LsoYk9ci5PgG1pDbA/vEMBVkRERM5KIVbacbpM/ri1lLwD1RjAoklpfGVQfI+cSwFWREREzodCrHhxukwefa+EzYdrsBjw40vSmZ5z5htKfBHmZzsUYEVEROS8KMSKh91p8vstRbxXWEeIAT+bmsHUfrE9ci4zfyeuJ+51B9iRF2P5oXpgRUREpPMUYgWAFqeLZZuL2FZcT6jF4D+/nMHEzJhzv/A8mPm7cD3eFmDHYVl0B4bV1iPnEhERkeCkECs0OVw8+NYxtpc2YAsx+K9pmYxNj+qRc7kD7D3Q0twaYP9LAVZERES6TCH2Atdgd3LfpmPsKWskPNRg6fQsRqZG9si5zH2nBdgRYxVgRURE5LwpxF7A6pqd3LOpkH0nm4iyWrj7siwuSo7okXOZ+3a3thA0w/CxWBbfqQArIiIi500h9gJV0+Tg7jcKOVTZTIzNwj0zsxmYGN4j53IH2HuguQmGj8GyWBVYERER+WIUYi9AlY0O7n79KEerW4gLD+HeGVn0T+ihALt/z+cC7J0YtrAeOZeIiIhcOBRiLzDlDXaW5hVSXNtCn4hQ7r08i8zYngmVZsEeXI+1BthhuQqwIiIi0m0UYi8gx+taWPp6Icfr7KREhXLfzGzSYnrm1/pmwR5cj94DzY2tAfYuBVgRERHpNgqxF4iimhaWvn6Ukw0O0mOs3Dczm+Sonrm5gFmw91SAvWi0O8CGKcCKiIhI91GIvQAcrWpm6etHqWpykhVn496Z2SRG9MzUmwc+w/XYb04F2NuWKsCKiIhIt1OIDXIHK5r49RuF1DQ7yUkI454ZWcSF92CAffTX0KQAKyIiIj1LITaI5Zc3cs+mQupbXAzuE86vL8siJiykR87lFWCHjlKAFRERkR6lEBukdp9o4L5Nx2h0uBieHMHSyzKJtPZQgK2uxPXf950KsD9SgBUREZGepRAbhLaX1vPAm8dodpqMTo3kzumZhIdaeuRcpmni+scfoK4WsnJaA2zPrDkrIiIi0kYhNsjsPF7PfZuOYXeZXJwRxX9+uS9hPRRgAcx3X4ftWyE0FMvNP1WAFRERkV6hEBtEXKbJnz88gd1lMikzml98KQNrSA8G2JMnMJ/7MwDGnP/A6Nuvx84lIiIicrqeSzjS694vrOVIdTNRVgu3X5LeswHW5cL19GPuPthBwzC+cnWPnUtERETk8xRig4TLNFm58yQAsy9KINrWMxdxtTHfWAf5O8EWhuW7P8aw9Oz5RERERE6nEBskPjxWx+GqZiJCLXx9aGKPnsssOYb54t8BML71XYyUjB49n4iIiMjnKcQGAdM0eW5nOQCzhyb02FqwAKbTievpR8HeAsPHYkz7Wo+dS0RERORMFGKDwLaieg5WNhMeavCNYT1chX31BTi0DyKisNz0IwzD6NHziYiIiHREITbAmabJyl3uKuyVQxKI7ckq7NEDmOueA8C44RaMxKQeO5eIiIjI2SjEBrhPSurZf7KJsBCDq3uwCmva7bj++ig4nTBuCsak6T12LhEREZFzUYgNYKf3wn5tSAJx4T237K+55v+g6AjExGH59g/VRiAiIiI+pRAbwLaXNpBf3oQtxGBuT1ZhC/ZgblwNgOXG2zBi4nrsXCIiIiKdoRAboE6vws4aHE98RM9UYc2mRncbgWliTJmJMWZSj5xHREREpCsUYgPUzuMN7C1rxGrp4SrsqhVQVgqJyRjXLuyx84iIiIh0hUJsgFrZWoX9yuB4+kRae+Qc5u5PMN98FQDLgtsxIqN65DwiIiIiXaUQG4B2HW9g14lGQi0G84b3TBXWrK/DteJxAIwZszGG5fbIeURERETOh0JsAGqrwl4xMI6knqrCPve/UHUSUvtizLupR84hIiIicr4UYgPMnhMN7DjeQKgFvjmiT4+cw/z4Xcz33wTDguW7P8YIC+uR84iIiIicL4XYALNy10kAZg6IJzmq+6uwZk0lrn/8EQDja9/EGHhRt59DRERE5ItSiA0g+eWNfFpST4gB3xzR/b2wpmni+vsfoK4GMnMwvn5dt59DREREpDuc1+KiGzZsYO3atVRVVZGZmcmCBQsYNmzYGfdfv349GzZs4MSJEyQlJTFv3jymTZvmeb6wsJCVK1dy6NAhysrKuOmmm7jqqqu8jvH888/zwgsveG2Li4vjz3/+8/m8hYDU1gt72YA4UqNt3X588903YPtWCAnFcvMSjNCe6bcVERER+aK6HGLfffddVqxYwcKFCxk6dCh5eXk8+OCDPPLIIyQlJbXbf+PGjTz77LPceuutDBw4kIKCAp588kmioqIYP348AM3NzaSmpnLJJZfwt7/97YznzsrKYunSpZ7HFsuFU0jef7KRj4rrsRgwvwd6Yc2TZZgr3f8hMObcgJGZ0+3nEBEREekuXQ6x69atY8aMGcycOROABQsWsH37djZu3MgNN9zQbv/Nmzdz+eWXM2XKFABSU1PZv38/a9as8YTYQYMGMWjQIACeeeaZM57bYrEQHx/f1SEHhZU73b2w03NiSY/p3iqs6XLhWvEYNDbAwIswZs3t1uOLiIiIdLcuhViHw8HBgwe5+uqrvbaPHj2a/Pz8Dl9jt9uxWr1/LW2z2SgoKMDhcBAa2vkhlJaWcuuttxIaGsrgwYO5/vrrSU1NPeP+drsdu93ueWwYBhEREZ7PA8WBk418WFSHxYBvjUzq9rGbb/4bPtsBtjBCvvcTjJCeuYVtT2j7WgTSfMq5aV6Dl+Y2eGlug5M/z2uX0kpNTQ0ul4u4uDiv7XFxcVRVVXX4mtzcXN544w0mTpxITk4OBw8eZNOmTTidTmpra0lISOjUuQcPHszixYvJyMigqqqKF198kbvuuovly5cTExPT4WtWr17t1Uebk5PDsmXLSE5O7twb9hPL398BwFcuSmX80P7demx70RGOv+hu4Yi/eQkxYy7u1uP3lrS0NF8PQXqA5jV4aW6Dl+Y2OPnjvJ5Xya2jNH6mhD5//nyqqqq48847MU2TuLg4pk2bxtq1a7vU0zp27FjP59nZ2QwZMoQf/ehHvPXWW8yePbvD18ydO9frubYxlpWV4XA4On1uXzpU2cSbBeUYwDcGRVFSUtJtxzadTpzL/guamzGGj6F23FTquvH4vcEwDNLS0igtLcU0TV8PR7qJ5jV4aW6Dl+Y2OPliXkNDQztVcOxSiI2NjcVisbSrulZXV7erzrax2WwsWrSIW265herqahISEsjLyyMiIuKMFdTOCA8PJzs7+6yhzmq1tmtlaBMo32BtKxJ8qV8MfWNt3Tpu16svwMF8iIjCuOl2IHC+Lp9nmmbAjl3OTPMavDS3wUtzG5z8cV67dHl/aGgoAwYMYMeOHV7bd+zYwdChQ8/52j59+mCxWNiyZQvjxo37QqsL2O12ioqKOt2OEIiOVDXz7tFaAK4Z2X7lhy/CLDyE+fJzABjX34KR2L3HFxEREelJXW4nmD17Nk888QQDBgxgyJAh5OXlUV5ezhVXXAG4VxeoqKjgtttuA6C4uJiCggIGDx5MfX0969ato7CwkMWLF3uO6XA4OHbsmOfziooKDh8+THh4uKcH4+9//zvjx48nKSmJ6upqVq1aRWNjo9d6s8Hm+V3uKuyU7Biy47vv1q+m3Y7rL8vB6YCxkzEmT++2Y4uIiIj0hi6H2ClTplBbW8uqVauorKwkKyuLO+64w9O7UFlZSXl5uWd/l8vFunXrKC4uJiQkhBEjRnD//feTkpLi2aeiooJf/vKXnscvv/wyL7/8MsOHD+c3v/mNZ5/HHnuMmpoaYmNjGTx4MA888EDAXaTVWYXVzWw54q7CXjuye9eFNV9+BoqOQEwclu8s9ssrDkVERETOxjD9rcGhF5SVlXktveWPfr+lmM2Ha5icFc0dl2Z223HNgr24Hr4DTBeWRf+FMXZytx3bFwzDID09nZKSEr/r1ZHzp3kNXprb4KW5DU6+mFer1dqpIuWFc8urAHKsppl3jtQAcG039sKazU24nn4UTBfGJZcFfIAVERGRC5dCrB96YddJXCZM6BvNgMTwbjuuuWoFnCiBhCSM677fbccVERER6W0KsX6mpLaFtw63VmFHdV8vrLnnU8xN/wbAsuB2jMjobju2iIiISG9TiPUz/2qtwl6cEcXgPhHdckyzoQ7XiscBMC67EmP4mG45roiIiIivKMT6keN1LWw6VA3AtaO6sRf22T9DZTmkpGN8c0G3HVdERETEVxRi/cgLu91V2DHpUQxN6qYq7MfvYb6/CQwLlu/9BCOs+3psRURERHxFIdZPnKiz8/oBdxX2um7qhTVrqnD9848AGF+dizHwom45roiIiIivKcT6iVV7TuI0YXRaJMOSI7/w8UzTxPWPP0JtNWT2x/j6Dd0wShERERH/oBDrB8rq7eQdqALgum5aF9Z8bxN8+j6EhLrbCKzWbjmuiIiIiD9QiPUDq/ecxOGCkSkRjEjthipsRRnmc/8LgPGN6zGycr7wMUVERET8iUKsj51ssLOxoPtWJDBdLvdyWo0NMGAoxqx5X/iYIiIiIv5GIdbHVu+pwO4yGZ4cwajuqMJuyYO928Fmc7cRhIR0wyhFRERE/ItCrA9VNjrYUFAFuKuwhmF84WOa77wGgPH16zFSM77w8URERET8kUKsD63ec5IWp8nQpHBy07qhCltVAYf2AWBMnv6FjyciIiLirxRifaSqycGr+6sAuK67qrA7toJpQs4QjPjuWWtWRERExB8pxPrImr0VtDhNBvcJZ2x6VLcc0/x0KwDGmEndcjwRERERf6UQ6wM1TQ7+va8SgGtHdlMVtqnBfUEXCrEiIiIS/BRifWDNZ5U0OUwGJoYxvm/3VGHZ/Qk47JCSAelZ3XNMERERET+lENvLapudrMvv3iosgPnpB4C7CttdxxQRERHxVwqxvWztZxU0OVzkJIQxMTO6W45pOhyYOz4E1EogIiIiFwaF2F5Ud1oV9pqRfbqvYrp/NzTUQ0wcDBzaPccUERER8WMKsb1oXX4lDXYX/eLCmJwV023H9bQSjJ6AYdEdukRERCT4KcT2kvoWJ2vzKwC4ZlQfLN3VC2uap0Ls2MndckwRERERf6cQ20te2VdJfYuLzFgbl3RjFZbCQ1BRBrYwGJbbfccVERER8WMKsb2gwe5k7d7WKuzIPoRYum/1APPT992fDB+LYQvrtuOKiIiI+DOF2F7w731V1La4yIix8aV+sd167FOtBFqVQERERC4cCrE9rNHuYk1PVWHLj7vbCQwLxqgJ3XZcEREREX+nENvDXt1fSU2zk7RoK5f27+Yq7Pat7k8GD8eI6d5ji4iIiPgzhdge1Oxw8dIedxX2W91chQXvu3SJiIiIXEgUYnvQ+v1VVDc7SY22Mj0nrluPbdbXwr5dgEKsiIiIXHgUYntIs8PF6j0nAZg/og+h3V2F3bkNXC7o2w8jOa1bjy0iIiLi7xRie8jrB6upbHKSHBnKZd1chQUwP1ErgYiIiFy4Qn09gGA1c0AcDpdJXFgI1pBursLaW2D3x4Du0iUiIiIXJoXYHhIWauEbFyX2zME/2wHNTZCQBNkDe+YcIiIiIn5M7QQByPzEfZcuI3cihtG9VV4RERGRQKAQG2BMl8uzPqzu0iUiIiIXKoXYQHNoH9RUQUQkDBnp69GIiIiI+IRCbIDx3OBg1HiMUKuPRyMiIiLiG+d1YdeGDRtYu3YtVVVVZGZmsmDBAoYNG3bG/devX8+GDRs4ceIESUlJzJs3j2nTpnmeLywsZOXKlRw6dIiysjJuuukmrrrqqi983mDUFmLR0loiIiJyAetyJfbdd99lxYoVzJs3j2XLljFs2DAefPBBysvLO9x/48aNPPvss3zrW99i+fLlXHPNNfzlL39h27Ztnn2am5tJTU3lhhtuID4+vlvOG4zM0mNQegxCQjFGXuzr4YiIiIj4TJdD7Lp165gxYwYzZ870VEOTkpLYuHFjh/tv3ryZyy+/nClTppCamsrUqVOZMWMGa9as8ewzaNAgvvOd7zB16lSs1o5/Rd7V8wYjTxX2olEYEZG+HYyIiIiID3WpncDhcHDw4EGuvvpqr+2jR48mPz+/w9fY7fZ2wdRms1FQUIDD4SA09NxDOJ/ztp3bbrd7HhuGQUREhOfzQNMWYi1jJgfk+HtC29dBX4/gonkNXprb4KW5DU7+PK9dCrE1NTW4XC7i4rxvoxoXF0dVVVWHr8nNzeWNN95g4sSJ5OTkcPDgQTZt2oTT6aS2tpaEhIQeOS/A6tWreeGFFzyPc3JyWLZsGcnJyec8p79xVp6k+KA7sKd+5euEJqX4eET+JS0tzddDkB6geQ1emtvgpbkNTv44r+d1YVdHafxMCX3+/PlUVVVx5513YpomcXFxTJs2jbVr12KxdK2boSvnBZg7dy6zZ89ut29ZWRkOh6NL5/Y11+YNYJrQfzBldieUlPh6SH7BMAzS0tIoLS3FNE1fD0e6ieY1eGlug5fmNjj5Yl5DQ0M7VXDsUoiNjY3FYrG0q35WV1e3q5K2sdlsLFq0iFtuuYXq6moSEhLIy8sjIiKCmJiYHjsvgNVqPWOPbaB9g7na7tI1ZlLAjb03mKapr0sQ0rwGL81t8NLcBid/nNculUJDQ0MZMGAAO3bs8Nq+Y8cOhg4des7X9unTB4vFwpYtWxg3blynK7Ff5LzBwGxqhL3bATDGTPbxaERERER8r8vtBLNnz+aJJ55gwIABDBkyhLy8PMrLy7niiisAeOaZZ6ioqOC2224DoLi4mIKCAgYPHkx9fT3r1q2jsLCQxYsXe47pcDg4duyY5/OKigoOHz5MeHi4pwfjXOcNars/AYcdktMgI8vXoxERERHxuS6H2ClTplBbW8uqVauorKwkKyuLO+64w9O7UFlZ6bV2q8vlYt26dRQXFxMSEsKIESO4//77SUk5dWFSRUUFv/zlLz2PX375ZV5++WWGDx/Ob37zm06dN5h57tI1VqsSiIiIiAAYpr81OPSCsrIyr6W3/JnpcOD62Y3QUIflFw9hDBnh6yH5FcMwSE9Pp6SkxO96deT8aV6Dl+Y2eGlug5Mv5tVqtXaqSNnlmx1ILyvYAw11EB0Lgy7y9WhERERE/IJCrJ/ztBLkTsCwhPh4NCIiIiL+QSHWj5mmeSrEjpnk49GIiIiI+A+FWH927DCcPAE2Gwwb6+vRiIiIiPgNhVg/Zrbe4IDhYzHCwnw7GBERERE/ohDrx8ztaiUQERER6YhCrJ8yT5bB0YNgWDBGT/D1cERERET8ikKsn2q7oItBF2HExPl2MCIiIiJ+RiHWT51qJZjs45GIiIiI+B+FWD9k1tdB/k5A/bAiIiIiHVGI9UPmzm3gckFGNkZKuq+HIyIiIuJ3FGL90adqJRARERE5G4VYP2Pa7Zi7PgbUSiAiIiJyJgqx/uazHdDcCPF9oN9AX49GRERExC8pxPoZ81P3XbqMMRMxLJoeERERkY4oJfkR0+XC3L4VUD+siIiIyNkoxPqTw/uhuhIiImHoSF+PRkRERMRvKcT6EU8rwciLMUKtPh6NiIiIiP9SiPUj5qfuVgK0KoGIiIjIWSnE+gmztAhKCiEkFGPkxb4ejoiIiIhfU4j1E+Z29w0OGDoKIzLKt4MRERER8XMKsX7C9NylS60EIiIiIueiEOsHzJpKOPAZAEbuRB+PRkRERMT/KcT6AXP7h2Ca0G8QRmKSr4cjIiIi4vcUYv2AWglEREREukYh1sfMpkbY8ykAxljdpUtERESkMxRifW3PJ+CwQ3IaZGT7ejQiIiIiAUEh1sc8rQS5kzAMw8ejEREREQkMCrE+ZDqdmDu2AWCMVT+siIiISGcpxPpSwR6or4XoGBg4zNejEREREQkYCrE+5GklGD0RIyTEx6MRERERCRwKsT5imibmJ+8DWlpLREREpKsUYn2l6DCcPAFWGwwf4+vRiIiIiAQUhVgfaWslYPgYjLBw3w5GREREJMAoxPqI+Ynu0iUiIiJyvhRifcCsKIOjB8CwYORO9PVwRERERAKOQqwPeFoJBl6EERPn28GIiIiIBCCFWB/wLK2lVgIRERGR8xJ6Pi/asGEDa9eupaqqiszMTBYsWMCwYWderH/9+vVs2LCBEydOkJSUxLx585g2bZrXPu+//z4rV67k+PHjpKamcv311zNx4qlftT///PO88MILXq+Ji4vjz3/+8/m8BZ8xG+pg3y5AIVZERETkfHU5xL777rusWLGChQsXMnToUPLy8njwwQd55JFHSEpKarf/xo0befbZZ7n11lsZOHAgBQUFPPnkk0RFRTF+/HgA9u3bx6OPPsq1117LxIkT2bp1K4888gj33nsvgwcP9hwrKyuLpUuXeh5bLIFXSDZ3fgROJ6RnYaRm+Ho4IiIiIgGpyylw3bp1zJgxg5kzZ3qqsElJSWzcuLHD/Tdv3szll1/OlClTSE1NZerUqcyYMYM1a9Z49nnllVcYPXo0c+fOpW/fvsydO5eRI0fyyiuveA/WYiE+Pt7zJzY2tqvD9722VoKxk308EBEREZHA1aUQ63A4OHjwILm5uV7bR48eTX5+foevsdvtWK1Wr202m42CggIcDgfgrsSOHj3aa5/c3Fz27dvnta20tJRbb72VxYsX8+ijj3L8+PGuDN/nTLvdXYlFrQQiIiIiX0SX2glqampwuVzExXlfUR8XF0dVVVWHr8nNzeWNN95g4sSJ5OTkcPDgQTZt2oTT6aS2tpaEhASqqqqIj4/3el18fLzXMQcPHszixYvJyMigqqqKF198kbvuuovly5cTExPT4bntdjt2u93z2DAMIiIiPJ/3NnPfTmhuhLhEjP6DfTKGYNP2NdTXMrhoXoOX5jZ4aW6Dkz/P63ld2NXRGznTm5s/fz5VVVXceeedmKZJXFwc06ZNY+3atWftaTVN0+uYY8eO9XyenZ3NkCFD+NGPfsRbb73F7NmzOzzG6tWrvS4Gy8nJYdmyZSQnJ5/zPfaEihd3Ug9ETb2MxL59fTKGYJWWlubrIUgP0LwGL81t8NLcBid/nNcuhdjY2FgsFku7qmt1dXW76mwbm83GokWLuOWWW6iuriYhIYG8vDwiIiI8FdTPV13PdUyA8PBwsrOzKSkpOeM+c+fO9Qq4baG4rKzM08rQW0yXC+eWTQA0Dhl11nFL5xmGQVpaGqWlpZim6evhSDfRvAYvzW3w0twGJ1/Ma2hoaKcKjl0KsaGhoQwYMIAdO3Z4LX+1Y8cOJkyYcM7X9unTB4AtW7Ywbtw4TyV2yJAh7Ny50ytw7tixgyFDhpzxeHa7naKiorMu7WW1Wtv147bp7W8w8/B+qK6A8AgYMkrf4N3MNE19TYOQ5jV4aW6Dl+Y2OPnjvHZ5dYLZs2fz+uuv88Ybb3Ds2DFWrFhBeXk5V1xxBQDPPPMM//3f/+3Zv7i4mM2bN1NSUkJBQQGPPvoohYWFXH/99Z59rrzySrZv385LL71EUVERL730Ejt37uSqq67y7PP3v/+dPXv2cOLECfbv38/vf/97Ghsb260366/MT94HwBh5McYZgrWIiIiIdE6Xe2KnTJlCbW0tq1atorKykqysLO644w5P2beyspLy8nLP/i6Xi3Xr1lFcXExISAgjRozg/vvvJyUlxbPP0KFDWbJkCc899xwrV64kLS2NJUuWeK0RW1FRwWOPPUZNTQ2xsbEMHjyYBx54wGf9rV3ludWsViUQERER+cIM099qw72grKzMa9WCnmYeL8Z11w8gJATL8n9gREb32rmDnWEYpKenU1JS4ne/5pDzp3kNXprb4KW5DU6+mFer1dqpImXg3fIqAHmqsENGKsCKiIiIdAOF2F5g6i5dIiIiIt1KIbaHmTVVcGAvAEbuxLPvLCIiIiKdohDbw8wdH4JpQvZAjMTAuAhNRERExN8pxPawU60EWpVAREREpLsoxPYgs7kJ9nwKgKGltURERES6jUJsT9rzKdhbICkV+vb39WhEREREgoZCbA/y3KVrzCQMw/DxaERERESCh0JsDzGdTsydHwJgjNHSWiIiIiLdSSG2pxTshbpaiIqBQcN8PRoRERGRoBLq6wEELYsFho/B6JOCERLi69GIiIiIBBWF2B5iDB5OyE/u1f2jRURERHqA2gl6mC7oEhEREel+CrEiIiIiEnAUYkVEREQk4CjEioiIiEjAUYgVERERkYCjECsiIiIiAUchVkREREQCjkKsiIiIiAQchVgRERERCTgKsSIiIiIScBRiRURERCTghPp6AL4QGnpBvu2gpjkNTprX4KW5DV6a2+DUm/Pa2XMZpmmaPTwWEREREZFupXYCCWiNjY3853/+J42Njb4einQjzWvw0twGL81tcPLneVWIlYBmmiaHDh1Cv1AILprX4KW5DV6a2+Dkz/OqECsiIiIiAUchVkREREQCjkKsBDSr1cr8+fOxWq2+Hop0I81r8NLcBi/NbXDy53nV6gQiIiIiEnBUiRURERGRgKMQKyIiIiIBRyFWRERERAKOQqyIiIiIBBzd4Fj83urVq9m6dStFRUXYbDaGDBnCt7/9bTIyMjz7mKbJv/71L15//XXq6uoYPHgwN998M1lZWT4cuXTF6tWrefbZZ7nyyitZsGABoHkNZBUVFfzzn//k008/paWlhfT0dH74wx8yYMAAQHMbqJxOJ//61794++23qaqqIiEhgenTpzNv3jwsFnddTHMbGPbs2cPatWs5dOgQlZWV/PznP2fixIme5zszj3a7nX/84x9s2bKFlpYWRo4cycKFC+nTp0+vvAdVYsXv7dmzh1mzZvHAAw9w11134XK5uP/++2lqavLss2bNGl555RW+973v8dBDDxEfH8/999/vl7fJk/YKCgrIy8ujX79+Xts1r4Gprq6OpUuXEhoayn/913+xfPlybrzxRiIjIz37aG4D05o1a3jttde4+eabeeSRR/j2t7/N2rVrWb9+vdc+mlv/19zcTP/+/fne977X4fOdmccVK1awdetWfvzjH3PvvffS1NTE//t//w+Xy9Ur70EhVvzenXfeyfTp08nKyqJ///4sWrSI8vJyDh48CLj/t/jvf/+buXPnMmnSJLKzs1m8eDHNzc288847Ph69nEtTUxNPPPEEt956K1FRUZ7tmtfAtWbNGvr06cOiRYsYNGgQKSkpjBo1irS0NEBzG8j27dvH+PHjGTduHCkpKUyePJnRo0dz4MABQHMbSMaOHct1113HpEmT2j3XmXlsaGjgjTfe4MYbb2T06NHk5OTwox/9iKNHj7Jjx45eeQ8KsRJwGhoaAIiOjgbgxIkTVFVVkZub69nHarUyfPhw8vPzfTJG6bynnnqKsWPHMnr0aK/tmtfAtW3bNgYMGMDy5ctZuHAhv/zlL8nLy/M8r7kNXBdddBG7du2iuLgYgMOHD5Ofn8/YsWMBzW2w6Mw8Hjx4EKfT6fVvd2JiItnZ2ezbt69XxqmeWAkopmnyt7/9jYsuuojs7GwAqqqqAIiLi/PaNy4ujvLy8t4eonTBli1bOHToEA899FC75zSvgevEiRO89tprXHXVVcydO5eCggKefvpprFYr06ZN09wGsDlz5tDQ0MBPfvITLBYLLpeL6667ji996UuAvm+DRWfmsaqqitDQUE9B6fR92l7f0xRiJaD85S9/4ejRo9x7773tnjMMw+uxbkbn38rLy1mxYgV33nknNpvtjPtpXgOPy+Vi4MCB3HDDDQDk5ORQWFjIxo0bmTZtmmc/zW3geffdd3n77be5/fbbycrK4vDhw6xYscJzgVcbzW1wOJ957M25VoiVgPHXv/6Vjz76iHvuucfrysf4+HgAz5WybWpqatr9L1L8x8GDB6muruZXv/qVZ5vL5WLv3r2sX7+eRx99FNC8BqKEhAQyMzO9tmVmZvLBBx8A+p4NZP/85z+ZM2cOU6dOBSA7O5uysjJeeuklpk+frrkNEp2Zx/j4eBwOB3V1dV7V2JqaGoYOHdor41RPrPg90zT5y1/+wgcffMDdd99NSkqK1/MpKSnEx8d7NZI7HA727NnTa99I0nWjRo3id7/7HQ8//LDnz8CBA/nSl77Eww8/TGpqquY1QA0dOtTTM9mmuLiY5ORkQN+zgay5udmzlFYbi8Xiqb5pboNDZ+ZxwIABhISEeO1TWVnJ0aNHGTJkSK+MU5VY8Xt/+ctfeOedd/jlL39JRESEp9cmMjISm82GYRhceeWVrF69mvT0dNLS0li9ejVhYWGePi3xPxEREZ6+5jZhYWHExMR4tmteA9NVV13F0qVLefHFF5kyZQoFBQW8/vrr3HLLLQD6ng1gF198MS+++CJJSUlkZmZy+PBh1q1bx2WXXQZobgNJU1MTpaWlnscnTpzg8OHDREdHk5SUdM55jIyMZMaMGfzjH/8gJiaG6Oho/vGPf5Cdnd3uQt2eYphqVBE/d80113S4fdGiRZ4erLZFmfPy8qivr2fQoEHcfPPN7UKS+Lff/OY39O/fv93NDjSvgeejjz7imWeeobS0lJSUFK666iouv/xyz/Oa28DU2NjIypUr2bp1K9XV1SQmJjJ16lTmz59PaKi7Lqa5DQy7d+/mnnvuabd92rRpLF68uFPz2NLSwj//+U/eeecdr5sdJCUl9cp7UIgVERERkYCjnlgRERERCTgKsSIiIiIScBRiRURERCTgKMSKiIiISMBRiBURERGRgKMQKyIiIiIBRyFWRERERAKO7tglIkHnzTff5I9//OMZn//1r3/NiBEjenFE3k6cOMFtt93Gt7/9bb7xjW/4bBzdKRjfk4j4N4VYEQlaixYtIiMjo932zMxMH4xGRES6k0KsiAStrKwsBg4c6OthSDdyOBwYhkFISIivhyIiPqYQKyIXtGuuuYZZs2aRnZ3NunXrKCsrIzU1lfnz5zN16lSvfY8ePcpzzz3H3r17aWlpISMjg6uuuorp06d77VdfX8+qVavYunUrFRUVREZGMnDgQG688Ub69u3rte+6det49dVXqampITs7m5tuuokhQ4acdcxt7RJ333037733Hu+//z6maTJ8+HC+973vkZiY6PX+5s+fzzXXXON1jMWLFzN8+HAWL17c7pjvvPMOW7duxel0MmHCBBYuXEhTUxN//etf2bFjBzabjS996UvccMMNhIZ6/xgxTZMXX3yR1157jZqaGrKysviP//gPRo0a5bVfSUkJzz//PDt37qShoYHU1FRmzZrFV7/6Vc8+bfd2v+222zh8+DBbtmyhqqqK5cuXt/s6isiFRyFWRIKWy+XC6XR6bTMMA4vF+5rWbdu2sXv3bq655hrCwsLYuHEjjz32GCEhIUyePBmA4uJili5dSmxsLN/97neJjo7m7bff5o9//CPV1dXMmTMHgMbGRu6++25OnDjBnDlzGDx4ME1NTezdu5fKykqv8LVhwwb69u3LggULAFi5ciUPPfQQf/jDH4iMjDzn+3vyyScZO3Yst99+OydPnuQf//gHTzzxBL/+9a/P+2v2P//zP0ycOJElS5Zw6NAhnn32WZxOJ8XFxUyaNInLL7+cnTt3smbNGhITE5k9e7bX69evX09ycjILFizANE3WrFnDgw8+yD333OMJ58eOHeOuu+4iKSmJG2+8kfj4eD799FOefvppamtr+da3vuV1zGeeeYYhQ4bw/e9/H4vFQlxc3Hm/PxEJHgqxIhK07rzzznbbLBYLzz33nNe22tpaHnroIeLj4wEYN24cP/vZz3jmmWc8Ifb555/H4XDw61//mqSkJM9+DQ0NvPDCC1xxxRVERkbyyiuvUFhYyF133cXo0aM955g0aVK7sURERPCrX/3KE6oTEhL4r//6Lz755JN2VeCO5Obm8r3vfc/zuK6ujn/+859UVVV53ktXjRs3jhtvvBGA0aNHs2/fPrZs2cKNN97oCayjR49m+/btvP322+1CrMvl4q677sJms3nGuHjxYlauXMnSpUsB+Nvf/kZERAT33nuvJ6yPHj0ah8PBSy+9xNe+9jWio6M9x0xNTeWnP/3peb0fEQleCrEiErRuu+22dr92Ngyj3X4jR470Cn0Wi4VLLrmEF154gZMnT9KnTx92797NyJEjPQG2zbRp0/jkk0/Yt28fY8aM4dNPPyU9Pd0rwJ7JuHHjvKrC/fr1A6CsrKxT72/8+PFej7Ozsz2vP98Qe/HFF3s97tu3Lx9++CHjxo1rt33Hjh3tXj9p0iRPgAV3UL/44ovZsmULLpcLh8PBrl27uOKKKwgLC/OqlI8dO5b169ezf/9+xo4d63VMEZHPU4gVkaDVt2/fTl3Y1VHga9tWW1tLnz59qK2tJSEhod1+bf2ntbW1ANTU1LQLumdyerURwGq1AtDS0tKp18fExHyh13dmTG09rx1t7+g8Z/paOhwOmpqaaGpqwul0sn79etavX9/hGNq+lm06+rqLiCjEisgFr6qq6ozb2oJiTEwMlZWV7farqKjw2i82NpaTJ0/2zEDPg9VqxeFwtNv++aDYXc70tQwNDSU8PJyQkBAsFguXXnops2bN6vAYKSkpXo87qp6LiOiOXSJywdu1a5dX+HK5XLz33nukpqbSp08fwN1ysGvXLk9obbN582bCwsI8Fy2NGTOGkpISdu3a1WvjP5vk5GSOHDnitW3Xrl00NTX1yPk++OADrwptY2MjH330EcOGDcNisRAWFsaIESM4dOgQ/fr1Y+DAge3+fL7CLCLSEVViRSRoFRYWtludACAtLY3Y2FjP45iYGO69916++c1velYnKCoqYsmSJZ59vvWtb/Hxxx9zzz33MH/+fM/qBB9//DHf/va3PRcoXXXVVbz33ns8/PDDXH311QwaNIiWlhb27NnDuHHjGDlyZI+/79NdeumlrFy5kpUrVzJ8+HCOHTvG+vXrO7X6wfmwWCzcf//9zJ49G5fLxZo1a2hsbPRaceC73/0uS5cu5e677+YrX/kKycnJNDY2UlpaykcfffSFVlcQkQuHQqyIBK0z3Xr21ltvZebMmZ7H48ePJysri+eee47y8nLS0tK4/fbbmTJlimefjIwM7rvvPp599ln+8pe/0NLSQt++fVm0aJHXOrFtV93/61//Ii8vj3/9619ER0czcOBALr/88h57r2fyjW98g4aGBt58801efvllBg0axE9+8hN++9vf9sj5vvrVr2K323n66aeprq4mKyuLX/3qV1x00UWefTIzM1m2bBmrVq3iueeeo7q6mqioKNLT070u6BIRORvDNE3T14MQEfGVtpsd3Hzzzb4eioiIdIF6YkVEREQk4CjEioiIiEjAUTuBiIiIiAQcVWJFREREJOAoxIqIiIhIwFGIFREREZGAoxArIiIiIgFHIVZEREREAo5CrIiIiIgEHIVYEREREQk4CrEiIiIiEnAUYkVEREQk4Px/acJORhaUOR4AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "init_scale = 0.5 # scale for random parameter initialisation\n", + "learning_rate = 0.1 # learning rate for gradient descent\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "\n", + "# Reset random number generator and data provider states on each run\n", + "# to ensure reproducibility of results\n", + "rng.seed(seed)\n", + "train_data.reset()\n", + "valid_data.reset()\n", + "\n", + "# Alter data-provider batch size\n", + "train_data.batch_size = batch_size \n", + "valid_data.batch_size = batch_size\n", + "\n", + "# Create a parameter initialiser which will sample random uniform values\n", + "# from [-init_scale, init_scale]\n", + "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + "# Create affine + softmax model\n", + "model = MultipleLayerModel([\n", + " AffineLayer(input_dim, output_dim, param_init, param_init),\n", + " SoftmaxLayer()\n", + "])\n", + "\n", + "# Initialise a cross entropy error object\n", + "error = CrossEntropyError()\n", + "\n", + "# Use a basic gradient descent learning rule\n", + "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + "_ = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "|`init_scale`| Final `error(train)` | Final `error(valid)` |\n", + "|------------|----------------------|----------------------|\n", + "| 0.01 | 2.43e-01 | 2.58e-01 |\n", + "| 0.1 | 2.43e-01 | 2.59e-01 |\n", + "| 0.5 | 2.45e-01 | 2.62e-01 |\n", + "\n", + "\n", + "Larger initialisation scale of 0.5 seems to give slightly slower initial learning than smaller scales of 0.1 and 0.01 however difference is only slight suggesting for this shallow architecure training performance is not particularly sensitive to initialisation scale.\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Varying learning rate\n", + "\n", + "Now let's try some different values for learning rate." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `learning_rate = 0.05`" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.6s to complete\n", + " error(train)=3.41e-01, acc(train)=9.05e-01, error(valid)=3.16e-01, acc(valid)=9.12e-01\n", + "Epoch 10: 0.6s to complete\n", + " error(train)=3.10e-01, acc(train)=9.14e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n", + "Epoch 15: 0.6s to complete\n", + " error(train)=2.97e-01, acc(train)=9.18e-01, error(valid)=2.82e-01, acc(valid)=9.21e-01\n", + "Epoch 20: 0.5s to complete\n", + " error(train)=2.88e-01, acc(train)=9.20e-01, error(valid)=2.76e-01, acc(valid)=9.23e-01\n", + "Epoch 25: 0.5s to complete\n", + " error(train)=2.83e-01, acc(train)=9.21e-01, error(valid)=2.73e-01, acc(valid)=9.24e-01\n", + "Epoch 30: 0.5s to complete\n", + " error(train)=2.77e-01, acc(train)=9.22e-01, error(valid)=2.69e-01, acc(valid)=9.24e-01\n", + "Epoch 35: 0.5s to complete\n", + " error(train)=2.74e-01, acc(train)=9.24e-01, error(valid)=2.67e-01, acc(valid)=9.25e-01\n", + "Epoch 40: 0.6s to complete\n", + " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 45: 0.6s to complete\n", + " error(train)=2.68e-01, acc(train)=9.26e-01, error(valid)=2.64e-01, acc(valid)=9.27e-01\n", + "Epoch 50: 0.5s to complete\n", + " error(train)=2.66e-01, acc(train)=9.26e-01, error(valid)=2.63e-01, acc(valid)=9.28e-01\n", + "Epoch 55: 0.6s to complete\n", + " error(train)=2.64e-01, acc(train)=9.26e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n", + "Epoch 60: 0.5s to complete\n", + " error(train)=2.63e-01, acc(train)=9.26e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n", + "Epoch 65: 0.6s to complete\n", + " error(train)=2.61e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.27e-01\n", + "Epoch 70: 0.5s to complete\n", + " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 75: 0.5s to complete\n", + " error(train)=2.58e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n", + "Epoch 80: 0.5s to complete\n", + " error(train)=2.57e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n", + "Epoch 85: 0.5s to complete\n", + " error(train)=2.56e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 90: 0.6s to complete\n", + " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 95: 0.6s to complete\n", + " error(train)=2.54e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 100: 0.6s to complete\n", + " error(train)=2.53e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "init_scale = 0.1 # scale for random parameter initialisation\n", + "learning_rate = 0.05 # learning rate for gradient descent\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "\n", + "# Reset random number generator and data provider states on each run\n", + "# to ensure reproducibility of results\n", + "rng.seed(seed)\n", + "train_data.reset()\n", + "valid_data.reset()\n", + "\n", + "# Alter data-provider batch size\n", + "train_data.batch_size = batch_size \n", + "valid_data.batch_size = batch_size\n", + "\n", + "# Create a parameter initialiser which will sample random uniform values\n", + "# from [-init_scale, init_scale]\n", + "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + "# Create affine + softmax model\n", + "model = MultipleLayerModel([\n", + " AffineLayer(input_dim, output_dim, param_init, param_init),\n", + " SoftmaxLayer()\n", + "])\n", + "\n", + "# Initialise a cross entropy error object\n", + "error = CrossEntropyError()\n", + "\n", + "# Use a basic gradient descent learning rule\n", + "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + "_ = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `learning_rate = 0.1`" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.5s to complete\n", + " error(train)=3.11e-01, acc(train)=9.13e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n", + "Epoch 10: 0.5s to complete\n", + " error(train)=2.89e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.23e-01\n", + "Epoch 15: 0.6s to complete\n", + " error(train)=2.79e-01, acc(train)=9.22e-01, error(valid)=2.70e-01, acc(valid)=9.24e-01\n", + "Epoch 20: 0.6s to complete\n", + " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 25: 0.6s to complete\n", + " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 30: 0.5s to complete\n", + " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n", + "Epoch 35: 0.5s to complete\n", + " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 40: 0.5s to complete\n", + " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 45: 0.6s to complete\n", + " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 50: 0.6s to complete\n", + " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 55: 0.6s to complete\n", + " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 60: 0.6s to complete\n", + " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n", + "Epoch 65: 0.6s to complete\n", + " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 70: 0.5s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.31e-01\n", + "Epoch 75: 0.6s to complete\n", + " error(train)=2.47e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 80: 0.6s to complete\n", + " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n", + "Epoch 85: 0.5s to complete\n", + " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n", + "Epoch 90: 0.6s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 95: 0.5s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 100: 0.5s to complete\n", + " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "init_scale = 0.1 # scale for random parameter initialisation\n", + "learning_rate = 0.1 # learning rate for gradient descent\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "\n", + "# Reset random number generator and data provider states on each run\n", + "# to ensure reproducibility of results\n", + "rng.seed(seed)\n", + "train_data.reset()\n", + "valid_data.reset()\n", + "\n", + "# Alter data-provider batch size\n", + "train_data.batch_size = batch_size \n", + "valid_data.batch_size = batch_size\n", + "\n", + "# Create a parameter initialiser which will sample random uniform values\n", + "# from [-init_scale, init_scale]\n", + "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + "# Create affine + softmax model\n", + "model = MultipleLayerModel([\n", + " AffineLayer(input_dim, output_dim, param_init, param_init),\n", + " SoftmaxLayer()\n", + "])\n", + "\n", + "# Initialise a cross entropy error object\n", + "error = CrossEntropyError()\n", + "\n", + "# Use a basic gradient descent learning rule\n", + "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + "_ = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `learning_rate = 0.2`" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.5s to complete\n", + " error(train)=2.90e-01, acc(train)=9.19e-01, error(valid)=2.77e-01, acc(valid)=9.22e-01\n", + "Epoch 10: 0.5s to complete\n", + " error(train)=2.75e-01, acc(train)=9.23e-01, error(valid)=2.69e-01, acc(valid)=9.25e-01\n", + "Epoch 15: 0.6s to complete\n", + " error(train)=2.66e-01, acc(train)=9.26e-01, error(valid)=2.64e-01, acc(valid)=9.26e-01\n", + "Epoch 20: 0.5s to complete\n", + " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 25: 0.6s to complete\n", + " error(train)=2.57e-01, acc(train)=9.28e-01, error(valid)=2.64e-01, acc(valid)=9.27e-01\n", + "Epoch 30: 0.6s to complete\n", + " error(train)=2.53e-01, acc(train)=9.29e-01, error(valid)=2.61e-01, acc(valid)=9.30e-01\n", + "Epoch 35: 0.5s to complete\n", + " error(train)=2.50e-01, acc(train)=9.30e-01, error(valid)=2.60e-01, acc(valid)=9.30e-01\n", + "Epoch 40: 0.5s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 45: 0.5s to complete\n", + " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 50: 0.5s to complete\n", + " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.60e-01, acc(valid)=9.31e-01\n", + "Epoch 55: 0.5s to complete\n", + " error(train)=2.43e-01, acc(train)=9.32e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 60: 0.6s to complete\n", + " error(train)=2.44e-01, acc(train)=9.31e-01, error(valid)=2.63e-01, acc(valid)=9.29e-01\n", + "Epoch 65: 0.6s to complete\n", + " error(train)=2.41e-01, acc(train)=9.34e-01, error(valid)=2.60e-01, acc(valid)=9.30e-01\n", + "Epoch 70: 0.6s to complete\n", + " error(train)=2.40e-01, acc(train)=9.34e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n", + "Epoch 75: 0.6s to complete\n", + " error(train)=2.38e-01, acc(train)=9.34e-01, error(valid)=2.60e-01, acc(valid)=9.30e-01\n", + "Epoch 80: 0.6s to complete\n", + " error(train)=2.38e-01, acc(train)=9.33e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n", + "Epoch 85: 0.5s to complete\n", + " error(train)=2.36e-01, acc(train)=9.35e-01, error(valid)=2.61e-01, acc(valid)=9.30e-01\n", + "Epoch 90: 0.6s to complete\n", + " error(train)=2.36e-01, acc(train)=9.34e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 95: 0.6s to complete\n", + " error(train)=2.37e-01, acc(train)=9.34e-01, error(valid)=2.63e-01, acc(valid)=9.29e-01\n", + "Epoch 100: 0.6s to complete\n", + " error(train)=2.35e-01, acc(train)=9.35e-01, error(valid)=2.63e-01, acc(valid)=9.29e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "init_scale = 0.1 # scale for random parameter initialisation\n", + "learning_rate = 0.2 # learning rate for gradient descent\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "\n", + "# Reset random number generator and data provider states on each run\n", + "# to ensure reproducibility of results\n", + "rng.seed(seed)\n", + "train_data.reset()\n", + "valid_data.reset()\n", + "\n", + "# Alter data-provider batch size\n", + "train_data.batch_size = batch_size \n", + "valid_data.batch_size = batch_size\n", + "\n", + "# Create a parameter initialiser which will sample random uniform values\n", + "# from [-init_scale, init_scale]\n", + "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + "# Create affine + softmax model\n", + "model = MultipleLayerModel([\n", + " AffineLayer(input_dim, output_dim, param_init, param_init),\n", + " SoftmaxLayer()\n", + "])\n", + "\n", + "# Initialise a cross entropy error object\n", + "error = CrossEntropyError()\n", + "\n", + "# Use a basic gradient descent learning rule\n", + "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + "_ = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### `learning_rate = 0.5`" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.5s to complete\n", + " error(train)=2.79e-01, acc(train)=9.20e-01, error(valid)=2.74e-01, acc(valid)=9.23e-01\n", + "Epoch 10: 0.5s to complete\n", + " error(train)=2.68e-01, acc(train)=9.24e-01, error(valid)=2.72e-01, acc(valid)=9.26e-01\n", + "Epoch 15: 0.6s to complete\n", + " error(train)=2.55e-01, acc(train)=9.28e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 20: 0.5s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.61e-01, acc(valid)=9.29e-01\n", + "Epoch 25: 0.6s to complete\n", + " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.73e-01, acc(valid)=9.25e-01\n", + "Epoch 30: 0.6s to complete\n", + " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.70e-01, acc(valid)=9.27e-01\n", + "Epoch 35: 0.6s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.69e-01, acc(valid)=9.27e-01\n", + "Epoch 40: 0.6s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.72e-01, acc(valid)=9.26e-01\n", + "Epoch 45: 0.6s to complete\n", + " error(train)=2.36e-01, acc(train)=9.35e-01, error(valid)=2.66e-01, acc(valid)=9.29e-01\n", + "Epoch 50: 0.5s to complete\n", + " error(train)=2.38e-01, acc(train)=9.33e-01, error(valid)=2.69e-01, acc(valid)=9.28e-01\n", + "Epoch 55: 0.6s to complete\n", + " error(train)=2.36e-01, acc(train)=9.34e-01, error(valid)=2.68e-01, acc(valid)=9.26e-01\n", + "Epoch 60: 0.6s to complete\n", + " error(train)=2.46e-01, acc(train)=9.29e-01, error(valid)=2.81e-01, acc(valid)=9.22e-01\n", + "Epoch 65: 0.6s to complete\n", + " error(train)=2.33e-01, acc(train)=9.35e-01, error(valid)=2.70e-01, acc(valid)=9.28e-01\n", + "Epoch 70: 0.5s to complete\n", + " error(train)=2.35e-01, acc(train)=9.36e-01, error(valid)=2.75e-01, acc(valid)=9.27e-01\n", + "Epoch 75: 0.5s to complete\n", + " error(train)=2.31e-01, acc(train)=9.36e-01, error(valid)=2.70e-01, acc(valid)=9.26e-01\n", + "Epoch 80: 0.6s to complete\n", + " error(train)=2.35e-01, acc(train)=9.34e-01, error(valid)=2.76e-01, acc(valid)=9.25e-01\n", + "Epoch 85: 0.6s to complete\n", + " error(train)=2.32e-01, acc(train)=9.35e-01, error(valid)=2.75e-01, acc(valid)=9.26e-01\n", + "Epoch 90: 0.5s to complete\n", + " error(train)=2.29e-01, acc(train)=9.37e-01, error(valid)=2.74e-01, acc(valid)=9.26e-01\n", + "Epoch 95: 0.6s to complete\n", + " error(train)=2.31e-01, acc(train)=9.35e-01, error(valid)=2.76e-01, acc(valid)=9.27e-01\n", + "Epoch 100: 0.5s to complete\n", + " error(train)=2.31e-01, acc(train)=9.36e-01, error(valid)=2.77e-01, acc(valid)=9.27e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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J0KOvLfG54PfPwwvt1nvQ33wWGb8CfcBQRL9BLftF0DavrSwptq7GlZMJQZ3Q7nkCTM7N93UEhaL938vIj99CblmHvvQ9xLHDiJvmIZxbZ4S8NtXJq/zhyxrJq5gwHTFmEsLFFc76eXO069qgJNZoNBIZGcnu3bsZPny47fHdu3czbNiwC+7r72+tA9mwYQODBw9G0+qeVyalrDG61rt3b1JTU2tsk5qaWq9MXWkao9FYY/ECR3DXXXfZOwRFUZRmIQvzkRvXINfHQfpZE1/DIhCjrkRcPBrh1rgBBBE9DDH6KuSvK9E/+hfaU28g3D0vuF9HIisrrd0ETiWBty/a/KcuOMrdGMLFFe54CLr1RH6zBPn7WmRKEtq8xxABwc1+vvOpV/LaBjS40GPKlCm8+eabREZG0qtXL+Lj48nKyrItG7p06VJycnK4++67AWuimZiYSM+ePSkuLiY2Npbk5GT+9re/2Y65bNkyunfvTnBwMGazmR07dpCQkFBj+dPJkyfzxBNP8O233xITE0NiYiI///wzc+bMaer3QFEURVFaldR1OLjbOuq643ewVJW4Obsgho+yjrp269Est5vFNbchD+yGjFTkZ+/CHQ85zG1se5O6jvxwERzaAy6uaPf+ExHYcjW9QgjEldOQXSKtq3wlH0df8ADanIcQ/S5qsfNWay/Ja7UGJ7ExMTEUFhbyzTffkJubS3h4OI8++qhtRDQ3N5esrCzb9rquExsbS2pqKgaDgaioKBYsWFBjtafy8nIWL15MdnY2JpOJzp07c8899xATE2PbpkePHjz00EMsXbqUb775hqCgIG699VZGjhzZlK9fURRFUVqNzMtBbohHboiHzPQzT3TriRh5JWL4SIRL806eEc4uaLMfQH/xEeSWdRA9DHHJmGY9R1skpUT+7wPk1vVgMKLd9SiiS/dWObfoE432j4Xo77wISUfQX38aMf0mxFV/bpE3GNbk9RfkD/9rF8lrtQZN7GovMjMza50IVFBQoCZ2tUH1mdilrmvbIoQgNDSUtLQ0h6vBUpqmI15bqVtg3w5ra6zdW6B6qWxXd8QloxEjJyDCI85/kGagf/8FcsVScHVHe/INhH/zluO1tWurr/oW+fUSAMTsB9Eurr3TUUuSlRXIpe8h16+2PjD4UrS/3tdsb2RsyWvsl2feNDUwebXHdXVycmr+iV2KoiiKolyYlBLSkq2raW2Ih5wzdyjp0dc66jrkslad1CMmXYPcuw2OHUL/6HW0B549pzVXR6H/vvZMAnvNX+2SwAIIJxPi1nvQI3oil74P239DT0221smGhl34AHVojuS1LVBJrKIoiqI0A1leDod2I/dsQ+7ZCtkZZ55090RcOhYx8gpEpy52iU8YDGi334/+zHw4tAe5ejliwnS7xGJPct8O6ypngLhiKtqV9v8eaKOuQnbuhv7uS5B+Cv35B9Fuux9x0SUNOk5HSV6rqSRWURRFURpJZqYj92xF7tlmnRxU3RYLwOgEfQYgLrkcMfhShJPJfoFWEUGdENfejvzk38jvPkFGDUKEtXwpg6OQJxKtdagWi3UC3cy/2jskG9G9D9oTC9HfexkO70N/+3nEpGsQU/+C0Azn3bejJa/VVBKrKIpSRRbkQlkZIkit8KbUTpor4cj+M4lr+qmaG/gFIqKHIgYMhd7Rdu0BWhcx8krk7i2wazP64oVoj7/mEAl2S5MZaej/ehrKS6HvQMSs+xyunEJ4+aLd/6y1BVf8CuSPXyFPJKLd8VCtrdHqTF6vmoEYPbHdJq/VVBKrXFBiYiIzZ85k/fr1zbbYwWuvvcbKlStZvdpazD5//nwKCgr48MMP69xn5syZ9OvXj2eeeQaASZMmcffddzN16tRmiUnp2GR5OfpzD0J+nrVWsFeUvUNSHITMyz5TIrB/lzUJqmYwQI9+iAFDEP2HQqdwh29fJYRAu+Vu9KfugZQTyGWfIK693d5htShZkIf+r6egMB/CI6ydCBx0mXlhNCKum43erSfy4zetkwIXPFDVPSESUMlrNZXEKhf00ksvceutt7boal3PPPNMg2c9zp8/n2eeeYarr766haJSOhK5NtY2+UZ//2W0J15HePvaOSrFHqRugWOHrYnr3q1w8ljNDbx8EP2HIKKHQt9BCDd3+wTaBMLLB23WvdbVvFYvRw4Yiug70N5htQhZVor+xjPW1lL+QWj3Polwbd42Zi1Bu3g0slMX60IMWafRX3oEceM8QHb45LWaSmKV80pNTWX16tU8/fTTLXqexrTAGjduHA8//DBr165l1KhRLRCV0lHIkmLkym+tn7i6Q36uNZF9YAHCcP5aNKV9kEUFyH07YPdW5L7tUFx45kkhrH1cBwy1Jq7hkQ53G7oxRPQwxKirkAkr0T98He2pNxHujrG0eHORZjP6ey/BiUTw8ESb/zTCx8/eYdWbCI+w9pNd/Brs3Y786PUzT3bg5LVa2/8tbCFSSsrMul3+NXREcu3atUybNo2+ffsSFRXFLbfcQlJSku351NRU7rrrLqKioujRowcTJ05k+/bttufj4uKYOHEikZGR9O/fv8ZKad9//z39+vWjU6dOgLXnavfu3Vm7dm2NGH788Ud69OhBcXExAM899xyXXXYZ3bt359JLL+Xll18+by/X+fPnc9ttt9k+Lykp4d5776Vnz55cdNFFvPvuu+fsYzAYGDt2LN9++22Dvl+K8kcyfoU1aQkJQ/u/l8DFFQ7vQ377sb1DU1qIlBJ58ij6D//D8uIj6A/cglz8GnLzr9afBTd3xLCRiNvuR3v1vxgeexXt6usRXXu0iwS2mrj2NgjqBHnZyM/esXc4zUpKifz4Ldi7HUwmtHv+iQjpbO+wGky4e6Ld8wRiynXWBzy8EDNnob3wH7QJMzpsAgtqJLZO5RbJdV8etsu5v7yuFy7G+tdUlZSUMGfOHPr06UNJSQmvvvoqs2fPJi4ujtLSUmbOnElISAgfffQRgYGB7NmzB72q2XZ8fDyzZ8/m3nvv5Y033qCiooKff/7ZduxNmzYRHR1t+9zLy8uWOF5++eW2x5ctW8aECRNwd7feVnN3d2fRokWEhIRw4MABHnnkETw8PJg3b169vqZnn32WjRs38sEHHxAYGMiLL77I7t276devX43tBg0aVGuCqyj1JYsKkKu/A0Cb+hdEpy5os+5Df/dFZNwyZPfeiMEx5z+I0ibI0hI4sLOqvnUb5OfU3CCsm7W2dcAwiOzdIUbh/7ialz5wuN16pjY3uewT5G9rQNPQ5vwdEdnb3iE1mtAMiKk3Ii+70prEOuCEQXtQSWw7MHny5Bqfv/baa0RHR3P48GG2bt1KdnY2P/zwA76+1vq+iIgz7VTeeOMNpk6dykMPPWR7LCrqzISW5ORkBgwYUOP4M2bM4L777qO0tBRXV1cKCwtZs2YN77//vm2b+fPn2z4ODw/n6NGjrFixol5JbHFxMV988QWvv/66rUzg9ddfZ+jQoedsGxoayqlTp9B1Ha0djY4orUeu/BbKSiE8AqqSVTEkxrq+edx36B/9C61TF0RI4xuPK/YlS0vQ//Mq7N8JFvOZJ5xdrLPUqyZlCb8Au8VoTyKiF2LydcjvP0d+9i6yR79mX82rtelrYpE/fQ2AuPlviIHD7BxR82jr16W5qSS2Ds4GwZfX9bLbuRsiKSmJV155he3bt5OTk2MbZU1JSWHfvn3079/flsD+0b59+7jxxhvrPHZZWRkuLi41Hhs3bhxGo5G4uDimTp3Kjz/+iLu7O6NHn3n3Hhsby+LFi0lKSqK4uBiLxVLviWFJSUlUVFTUSFp9fX3p3v3cNa1dXFzQdZ3y8nJcXTvuLRWlcWR+rnVCF6BNvanGbWIx41Zk0hFrv8Z3XkR77FWEs0tdh1IcmNySAHu2Wj8J6mRNWqOHQs/+DjtDvbWJyddaV/M6frjNr+Ylt21AfvEfAMTUG9Euu8LOESktpW3+hLYCIQQuRs0u/xranmXWrFnk5uby8ssvExsbS2ys9Y9yZWXlOQnoH13oeT8/P/Ly8mo8ZjKZmDx5MsuWLQOspQR/+tOfMBqt74m2bdvGvHnzuPzyy/nvf//LqlWruOeee85bE3u2htQE5+bm4ubmphJYpVHkj19BRQVE9obomiP9wmBAu+Nh8PaF1JPIj//dJtaDV84ld24GQFx9A4bn3kW7/g5Ev4tUAnsW62peD4DJ2bqaV/xye4fUKPLwXvTFC0FKxOirEJOvtXdISgtSSWwbl5OTw5EjR7jvvvsYOXIkPXv2JD8/3/Z837592bdvH7m5ubXu37dvX9avX1/n8fv378+RI0fOeXz69On88ssvHDp0iI0bNzJ9+pll+7Zs2UJYWBj33XcfAwcOJDIykpSUlHp/TRERETg5ObFt2zbbY3l5eRw7duycbQ8dOnROuYOi1IfMzkQmrARAm3ZTrW8ehY8f2pxHQNOQm39F/vJja4epNJEsK4UDuwAQQ0fYORrHJoI7Ia6z9ouVyz5Bnjpu54gaRp5KQn/rOTBXwqBLEH+Z6/A9e5WmUUlsG+fj44Ovry+ffvopx48fZ/369TXaYU2bNo3AwEBuv/12tmzZwokTJ/jhhx/YutV6a+2BBx7gu+++49VXX+XIkSMcOHCAt99+27b/6NGj2bZtGxaLpcZ5L730UgICArj77rsJDw9nyJAhtuciIiJISUlh+fLlJCUl8cEHH/DTTz/V+2tyd3fn+uuvZ8GCBaxbt46DBw9y//3311rzunnzZsaMGVPvYytKNRn7BZjN0HvAeftjil5RiD/Psu7z5QfIowdbKUKlWezfaU1qAkMgNNze0Tg8MXICRA8Dsxl98ULk2cvoOjCZk2ldjau0GHr0RbvjwQsu1aq0fSqJbeM0TePtt99mz549jBs3jqeeeop//OMftudNJhOff/45/v7+3HzzzYwbN45///vfGKpm3cbExPDee+8RFxfHlVdeybXXXsuOHTts+1fXv65bt67GeYUQTJs2jf3799cYhQWYMGECd9xxB48//jhXXnklW7durTHRqz6eeOIJLr74Yv76179y/fXXM3z48BpdEgDS0tLYunUrN9xwQ4OOrSjydCpyo7ULhzb95gtuL66YCkNiwGJGf+9lZGH+BfdRHIPcuQkAMfBiNSpXD0IItFvvBk9v62pe331q75AuSBYXor/+FORlQ2g42t3/QJjU7P2OQMgOWOSVmZlZa31mQUFBo5rut3dLliwhLi6OpUuX2juUGp599lkKCwtZtGjReett1XVte4QQhIaGkpaW1iJ1qPp/qvqBDhiK4d5/1msfWVqC/vyDkJ4CfQeizX9KjfQ0Qktf27NJ3YL+4C1QVIj20POI3v1b9Hztidy1Gf2tBSCEdZJXn+gL7tOa17aarChHX/RPSDwAPv5o//eymsHfzOxxXZ2cnAgMvPB1VCOxygXddNNNXHzxxRQVFdk7lBoCAgJ4+OGH7R2G0sbIlBPW2eqANq3uzhx/JFzd0O581Drx5cAu5HLHelOn1CLxIBQVgrsn9Ohr72jaFDFwOGLklSAl+kevI0sc6/Vf6jr6pl/Rn7rHmsC6ulvfWKoEtkNRSaxyQUajkfvuu6/eLbJay1133VWvd2qKcjZ9+WcgJQyJQXQ5t23b+YjOXRC33A1YOxvIXZtbIkSlmVRfHzFgaIdYuKC5iWtvh6BQyMlCfvaevcMBqlbh2rkJ/Zn7kItfg8x08PS2lhB07mrv8JRWppJYRVE6DJl0BHb8DkJDm1r/UdizaRePRoydAoD+wSJkZnpzhqg0I1sSO2i4nSNpm4SLK9pt99u6c+ibE+wajzywC/2Fh9H//RyknABXd8S0m9Cefx/RK+rCB1DaHZXEKorSYehVk1TEJaMRTZipLq75K3TvA6XF6O+8gKwob64QW43cvhHLv59DZqTaO5QWIdNOwekUMBoh6iJ7h9Nmie59EJOsvVblZ+8gczJbPQZ57BCWhU+gL3wCjh8Gkwkx8c9oL7yPNvlahIvqE95RqSRWUZQOQR7eB/t2gMGAuLppHS2E0cnaP9bTG5KPW5fqbCNzZKW5Ev3LxejvvAg7N1mX3W2H5C5rVwL6RCNc3OwbTBsnJl8L3XpCSTH6R/9CVq0K2dLkqSQs/34O/YWHrb1+DUbE5ZPRnv8P2oxbEe6erRKH4rhUEvsHbeUPkVI/eiu92CqOTUqJvrxqFHbEFYjAkCYfU/gFoN3xEAgNufFn5Lq4Jh+zpcmcLPRXH0fGrzjz2PbfkOb6rabXlpxpraVKCZpKGI1nVvM6uBv58/ctej6ZkYq++DX0Z+6DnZtAaIgR49AWvIP2l7kI79qXUVc6HpXEnsXZ2ZnS0lJ7h6E0E13XKSwsxM1NjcJ0ePt3wuF9YHRq1mUoRd+BiKoOB/Lz96w1tw5K7t+B/ux8OHrQOpP7rketS+oWF9pWtGovZEEeHDsEgIhWSWxzECGdEdfcBoD89mNkyolmP4fMyUL/5N/o//wbctOv1qVjh4xAe/ottFn3IQKCm/2cSttmbMxOq1atYsWKFeTl5REWFsasWbPo27fu9iUrV65k1apVZGRkEBAQwIwZMxg9erTt+U2bNrFs2TLS09OxWCyEhIRw9dVXM2rUqFqPt2zZMj7//HMmTZrErFmzGvMl1MrZ2Zni4mLy8/NVU+w2xGQyUVFR+6oy7u7uGI2N+jFX2gkp5Zla2DETEX4BzXp8cdWfkccOwa7N6O++hPaPhQgPx+lLLHUd+cP/kN9/bu3K0CUS7c7/QwSGIA7tQa6JRW5Zhxgw1N6hNhu5Z6v1a+3ao9mvd0cmRl+F3L0F9mxFX/wa2mOvIZycmnxcWZiP/Olr5NofraurAfQfYl0OumvDOogoHUuD/7pv3LiRJUuWMHv2bHr37k18fDzPP/88ixYtIiDg3BeLuLg4Pv/8c+bOnUv37t1JTEzkvffew93dnaFDrS+aHh4ezJgxg06dOmE0Gtm+fTtvv/02Xl5eDBo0qMbxEhMTiY+Pp2vXlmml4e7u3iLHVVqGPZowK23Mrk2QdAScXRATZzb74YWmod02H33BA5CZjv7BQrR7/omoZZnk1iYLC9A/eM1aCwyIkVcibpiDcDJZPx92mTWJ3fE7srLC9nhbp0oJWoYQAm3WPehP3QunkpDLP0XM/GujjydLipGrlyNXL4fyqrugPfqhTb9ZdRtQ6qXBr7KxsbGMHTuWcePG2UZhAwICiIurvR4sISGB8ePHExMTQ3BwMCNGjGDs2LEsX77ctk1UVBTDhw8nLCyMkJAQJk2aRNeuXTl4sOYa5WVlZbz55pvMnTtXJZuKolyQ1HX07z4DQIy7GuHl0yLnEW4e1tvzTibYux35w/9a5DwNIY8dQl8w35rAmkyIv96HdsvdNRPVyD7gGwBlpbB3u91ibU6yohz2VyXtgy62czTtj/DyRavulRz3HfLQ3gYfQ5aXo6/6Fv2xOcjYL6wJbJdItPueRHvkBZXAKvXWoCTWbDZz7NgxBg4cWOPx6OhoDh06VOs+lZWVOP3hdoPJZCIxMRGz2XzO9lJK9uzZQ2pqKv369avx3OLFi7nooouIjr7w8neKoihy6/oz/SSvnN6i5xLhEYib7rKe9/vPkXu3tej56iKlRP85Fv3lRyEnC4I6oT36KlrMuHO2FZqGGHaZdb8t61o71JZxYDdUVIBfIIR1s3c07ZIYdPGZ1bw+XIQsKa7XftJcif7Lj+iPz0V+vcRajx0Shnbn39EeX4joP0SV8ikN0qBygoKCAnRdx9vbu8bj3t7e5OXl1brPwIEDWbNmDcOHDyciIoJjx46xdu1aLBYLhYWF+PpaZxmWlJQwd+5czGYzmqZx++2310hWN2zYwPHjx3nhhRfqHW9lZSWVlWdm3QohcHV1tX2stH3V11Fdz/alOa6rtFiQKz4HQJswHc2j5dvxGEaMx3LsEPLXleiLF2L45+sI/6AWP281WVaC/PjfyKqm9GLICLRZ9yJc657cqA0biSXuO+vCABXlCGeXFo2xpX9n9arWWmLQxWgOUNLRXmnXzcZycA9kpiE/fw9t9oN1XlupW5CbfkVfvhSyTlsf9A9C+9NfEJeMUaupOThH/jvbqBkvtX0hdX1xM2fOJC8vj8cffxwpJd7e3owePZoVK1bUeIFxcXHhlVdeoaysjD179vDxxx8THBxMVFQUWVlZLFmyhMcffxyTqf41W8uWLePrr7+2fR4REcFLL72klipth0JCmt4ySXE8TbmuRXHLyT2dgublQ+iNd6C5tU4Jkpz/BKdTT1J5ZD/a4tcIfvk/CJNzi5+38sRRsl78O/JUEhgM+Nx2Hx5Tb7jgHx4ZEkJaSGcs6Sn4JCfiNvKKFo8VWuZ3Vuo6qXu2IYGAsRNxCQ1t9nMoZ5T//TkyHpmN/P0XvMdMsP3sVF9bKSWlG9eS/+m7WE4eA0Dz8cfrhtvxmDCt3dRgdxSO+He2QUmsl5cXmqadM+qan59/zuhsNZPJxLx585gzZw75+fn4+voSHx+Pq6srnp5nRkY0TbN9g7p160ZKSgrfffcdUVFRHDt2jPz8fP7v//7Ptr2u6xw4cICVK1eydOnSWt9xT58+nSlTptg+r34xz8zMrLWUQWl7hBCEhISQnp6uJna1I029rrKyEssn71o/mTCD0/kFkF/QzFGe5/yzH4Rn5lN5ZD8prz+L4ea/tej59N9/Qf/4LagoB19/DHP/TlGPvhSl129JXH1wDPz4FTlxK8jv0b9FY23J31l59CB6Xja4upETEIpIS2vW4yt/4BOImHQNMvZLst94jvyAUEL79ictLQ1933b0ZZ9AUqJ1WzcPtIl/RoydQpGzC0VZ2faNXak3e/ydNRqN9RpwbFASazQaiYyMZPfu3QwffmbW5+7duxk2bNgF9/X39wespQGDBw8+760eKaWtFGDAgAG8+uqrNZ5/55136NSpE1OnTq3zOE5OTufU4559fKX9kFKqa9oONfa66utWQU4m+PjBmImt/7PhF4g2+wH0N55B/roSS2TvWmtSm0pWViK//A/y15XWB/oORJv9IHj5NOhrFkMvQ/74FXL3VvSS4vOWHzSXlvid1au7EvQfAgajek1oBWLydci92yHpCJYPXqf8r3djXvw6HK6a8OXsghj/J8SV0xBuHoD6+9tWOeLf2QaXE0yZMoU333yTyMhIevXqRXx8PFlZWVxxhfU2wtKlS8nJyeHuu62zF1NTU0lMTKRnz54UFxcTGxtLcnIyf/vbmZGJZcuW0b17d4KDgzGbzezYsYOEhARmz54NgKurK126dKkRh7OzM56enuc8rihKxybLy23dAcTka1vlVn5tRP8hiCnXWyd5ffoOMjwSER7RbMeXWafR330JTiSCEIjJ1yGuvg6hNaK+MKwbhIRB+inkrk2ISy5vtjhbk9y12fqBaq3Vaqyred2P/ux85IGdZDxi/buN0QkxZhJi4p9brCuIojQ4iY2JiaGwsJBvvvmG3NxcwsPDefTRR23Dvrm5uWRlZdm213Wd2NhYUlNTMRgMREVFsWDBAoKCzkx2KC8vZ/HixWRnZ2MymejcuTP33HMPMTExzfAlKorSkchffoT8XPAPQlzWOvWddRFTrkMePwx7t6G/84J1IYSq0aimkLu3oH+wCEqKwN0TbfYD1tHHxsYphLVn7PdfIDevgzaYxMqMNEg9CQYDYkDjvxdKw4mQMMQ1tyM/ewc0A+Ky8dY3kH5q/onSsoR0tLHhVpCZmVmja4HSdqnFDtqnxl5XWVqC/tgdUFSImHUf2ojmv4XfULKowLoQQnYGDByONu+xRi+EYO24sBT541fWByJ6oc39O8K/6cmCTEtG/+ffwGBEe+1jhHvTk+3atNTvrL56OfJ/H0DfgRgeeLbZjqvUj5QSDu8luE8UmRjU63E7Yo+/s05OTvWqiVX9RxRFaTdk/AooKoSQzohLxtg7HACEhxfanX8HoxF2bUau+rZRx5EFueiL/mlLYMXlk9EefqFZElgAERpuLSuwmJE7fmuWY7YmtUqXfQkh0PpEYwwNs3coSgeiklhFUdoFWVyIXP0dAOJPf3Go3pOiW0/EDXMBkMs+RR7Y1aD95eF96M/cD4f2WCfK3PEQ2l/mNsu69TXiHNo2Fz6QRQWQuB9QSayidCQqiVUUpV2Qq76F0hIIi0AMGWHvcM4hRl6JiBkHUkf/z6vInKwL7iOlRF+1DP21xyE/B0LD0R5/DW34qJaJcdhI6wcHdyML8lrkHC1B7t0Gug5h3RABwfYOR1GUVqKSWEVR2jyZn4v8ORYAbdqNja45bUlCCMSNd0JYBBTmo7//MtJcd22+LClCf/sF5Ncfga4jho9Ge+xV623/looxKBS69gBdR27f2GLnaW6qlEBROibHe6VXFEVpIPnT19ZG/xG9IPr8PavtSZic0e76P3B1h6MHkV99VOt28uQx62Swnb+D0Yi48U7E7AcQLq4tH+Nw62is3LK+xc/VHGRlJezdAYAYeLGdo1EUpTWpJFZRlDZN5mQif/0JAG3aTQ65vvfZRFAo2u33AyDXxKJv+rXG8/r61egvPgKZ6db15R95CW3MpFb7uqrrYjmyD5nXBlZVOrQHykutC1t07W7vaBRFaUUqiVUUpU2TsV+C2Qy9B0DfgfYOp17EwOGISdcAID9+C5lyEllejr7kX8j/vgmVFTBgKNoTixARPVs3Nr9A6N4HpERu3dCq524MuauqlCB6uEOWkSiK0nIavNiBoiiKo5AZqcgN8UBVLayDj8KeTUz9i3UhhAO70N95AZyc4FQSCA0x9S+IiTPtlpSJYaOQRw8it66H8X+ySwz1IaVE7rSu0iUGqVICRelo1NtWRVHaLPn9F9ZZ6f2HIHr0s3c4DSI0A9odD4FvAJxOsSawnt5o9z+NNvlau44qiiExIIS1bjc7w25xXNDJo5CXDc4u0GeAvaNRFKWVqSRWUZQ2SaacRFbVk2rTbrRzNI0jPL3R5j4CHp7QewDaE68jHKAkQvj4Qa/+ANbRWAdVPQpL1EUIJ5N9g1EUpdWpcgJFUdokfcVnICUMvhTRtYe9w2k00b0P2qsfO9TiDGDtGSsP7bF2KZgww97h1MpWD6u6EihKh6RGYhVFaXPkiUTY/hsIgfantjkKezZHS2ABxOAY0DQ4kYjMSLV3OOeQ2RmQfNxaQzxgqL3DURTFDlQSqyhKm6N/9xkA4uLRiM5d7BxN+yQ8vWzdHhyxZ6zcVVVK0KOPNVZFUToclcQqitKmyMT9sHcbaBri6uvtHU67Vr0Mrdyyzs6RnMu2SpfqSqAoHZZKYhVFaTOklOjLPgVAjBiPCOpk54jaNzHoEjAYIeUEMvWkvcOxkSXFcHgvoOphFaUjU0msoihtx4Fd1uTFaERMuc7e0bR7wt0D+g8GHKukQO7bDhYLhIYjgtUbGUXpqFQSqyhKmyClRP+uahR29ETrylJKi6tehlZuWYeU0s7RVKkuJRg43M6BKIpiTyqJVRSlbdi9BY4fBpMzYtJMe0fTYYhBw8HJZF2QIfm4vcNBms3IPdsAlcQqSkenklhFURye1PUzo7DjpiC8fO0cUcchXNygqoWVQ0zwOrIPSovB0xsie9k7GkVR7EglsYqiODy5bYN1WVZXN4SDNt5vz7RhjlNSUN1aS0QPQ2iO119XUZTWo5JYRVEcmrRYkCuWAiCumIZw97RzRB3QgGHg7ALZGZB0xG5hSCnPaq2lSgkUpaNTSayiKA5N/v4LpKeAhydi/J/sHU6HJJydbfWncrMdSwpSkqyJtJMJ+l5kvzgURXEIKolVFMVhSXMl8vvPARBX/Rnh6mbniDou28IHW9cjdd0uMcidVat09RuEcHa2SwyKojgOlcQqiuKw5LrV1pE3b1/EmMn2DqdjixoMru6Qlw1HD9olBFs9rOpKoCgKYGzMTqtWrWLFihXk5eURFhbGrFmz6Nu3b53br1y5klWrVpGRkUFAQAAzZsxg9OjRtuc3bdrEsmXLSE9Px2KxEBISwtVXX82oUaNs2yxbtozNmzeTkpKCyWSiV69e3HTTTXTqpBpdK0p7pJeXof/wJQBi8rVq5M3OhJMTYtDFyN/WILckIHr2a9Xzy7xsaz2uEIiBw1r13IqiOKYGJ7EbN25kyZIlzJ49m969exMfH8/zzz/PokWLCAgIOGf7uLg4Pv/8c+bOnUv37t1JTEzkvffew93dnaFDrW1bPDw8mDFjBp06dcJoNLJ9+3befvttvLy8GDRoEAD79+9nwoQJdO/eHYvFwhdffMGCBQtYuHAhLi4uTfsuKIricIp++BrycsAvEHHZlfYORwHE8JHWJHbrBuR1dyAMrdcdQO7aYv0gopdqsaYoCtCIcoLY2FjGjh3LuHHjbKOwAQEBxMXF1bp9QkIC48ePJyYmhuDgYEaMGMHYsWNZvny5bZuoqCiGDx9OWFgYISEhTJo0ia5du3Lw4JlbVo8//jhjxowhPDycbt26MW/ePLKysjh27FgjvmxFURyZLCuh8KslAIirr0c4Odk3IMWqz0Dw8ITCfOvyv63oTFeCi1v1vIqiOK4GjcSazWaOHTvGtGnTajweHR3NoUOHat2nsrISpz/8ATKZTCQmJmI2mzEaa4YgpWTv3r2kpqZy44031hlLSUkJYB3FrUtlZSWVlZW2z4UQuLq62j5W2r7q66iup2OTug7FhVBYAEX5yMJ8KCqAwgLrx4X51o+Lqh/PB7MZgjuhxYxT19dBCCcn5OAYZMIq5Nb1aP0GNfwYjfidlWWlcHAXANqgi9XPg4NSr8ftkyNf1wYlsQUFBei6jre3d43Hvb29ycvLq3WfgQMHsmbNGoYPH05ERATHjh1j7dq1WCwWCgsL8fW13hYqKSlh7ty5mM1mNE3j9ttvJzo6utZjSin573//S58+fejSpUud8S5btoyvv/7a9nlERAQvvfQSgYFqzfX2JiQkxN4hdCiyshK9IA9Lfi56fq71/4I89Pw8LAXWx/T8vDOPF+ZDQ2e0G40EzHkQ17CwlvkilEYpu2oamQmrEDt+J+TBpxHGRk2taNDvbMmGNWSbzRhDwwgZPNwh/5gqZ6jX4/bJEa9ro159ansBqetFZebMmeTl5fH4448jpcTb25vRo0ezYsUKNO1MNYOLiwuvvPIKZWVl7Nmzh48//pjg4GCioqLOOeYHH3zAyZMneeaZZ84b5/Tp05kyZco5MWZmZmI2m+v1tSqOTQhBSEgI6enpdl9JqD2Sacnov66EzPSqEdMC60hpaXHjDujmAZ5e4OGN8PSyLh3q6Y3w8LI+7umN8PBGeHkT0rM3p3NyyUtLa94vSmkSGRAKXj7oBXmkrvkJrWpJ2vpqzO+sZe1K6//9h5Kent7gmJXWoV6P2yd7XFej0VivAccGJbFeXl5omnbOqGt+fv45o7PVTCYT8+bNY86cOeTn5+Pr60t8fDyurq54ep5ZeUfTNFuW361bN1JSUvjuu+/OSWI//PBDtm3bxtNPP42/v/9543VycjqnlKGa+gVrX6SU6po2I3n0IPrKb2HXJqjr+6pp4FGViHp4VSWi3rZkFA9vhIenLVHF3bP+o3ZCIEzO6ro6IqEhhoxArv0BuXkdsv+QRh2mvtdWWizIPdZJXWLgcPXz0Aao39v2yRGva4OSWKPRSGRkJLt372b48DN9+nbv3s2wYedveWI0Gm1J54YNGxg8eHCNkdg/klLWqGeVUvLhhx+yefNmnnrqKYKCghoSuqIoFyClhL3b0Fd+A4f3nXli0CWIAUMQVcmqLUl1dUec53dYab/EsJHWJHbn78jKCoSTqeVOdvQgFBWCuyf0qLuVo6IoHU+DywmmTJnCm2++SWRkJL169SI+Pp6srCyuuOIKAJYuXUpOTg533303AKmpqSQmJtKzZ0+Ki4uJjY0lOTmZv/3tb7ZjLlu2jO7duxMcHIzZbGbHjh0kJCQwe/Zs2zYffPAB69ev55FHHsHV1dU2Guzm5obJ1IIvoIrSzkmzGbl1HXLlt5BywvqgwYi4ZAxiwgxEqKpJVf6gex/w8bcufLBvOwy6pMVOJXdVdSUYMLRVW3opiuL4GpzExsTEUFhYyDfffENubi7h4eE8+uijttqF3NxcsrKybNvruk5sbCypqakYDAaioqJYsGBBjZHU8vJyFi9eTHZ2NiaTic6dO3PPPfcQExNj26a6hddTTz1VI5558+YxZsyYhn4ZitLhyfIy5PrVyLjvICfT+qCzK2L0VYjxf0L4nr9cR+m4hKYhhl2GXL0cuWU9ooWSWCnlWa211CpdiqLUJKSjFTi0gszMzBqlCkrbJYQgNDSUtLQ0h6vVcVSysAC5Nha59gfrbVoALx/EuKsRYyYi3OpuW9da1HV1fPL4YfTnHwJnF7TXPqn3imoNubYyLRn9n38DoxFt0acIF7fmCF1pIer3tn2yx3V1cnJq/oldiqK0XTI7Axn3HXL9aqgotz4YGGItGYgZ27J1jUr7060nBARD1mnYswWGXtbsp5A7N1s/6BOtElhFUc6hklhFaefkqePIld8it6w706u1aw+0q2bA4EsRmqozVBpOCGEtKfjpG/Qt6zC0RBJbXQ87UJUSKIpyLpXEKko7JKWEw/usnQb2bjvzRN+BaBNnWke2VMN4pYnE0JHIn76BPduQZSXNOloqC3LhmHUlSBGtklhFUc6lklhFaUekrsPOTdbk9fhh64NCQwyJQVw1A9G1h30DVNqX8AgI6QzpKcidmxGXjGm2Q8vdW609irv2QPgFNNtxFUVpP1QSqyjtgKysRP6+Fhm3DNJTrA8anRAjxiGunI4ICrVvgEq7JISwjsbGfmEtV2nOJHanKiVQFOX8VBKrKG2YLC1BJqxExq+AvBzrg27uiDGTEOOmILx87Rqf0v6JYZchY7+AfTuQxUUI96Z3t5Dl5XBgp/X4gy5u8vEURWmfVBKrKG2QzM9F/rwC+ctKKC22Pujjj7jiT4hRE9RMbqXViE5doHNXSDmB3PEb4rIrmn7Qg7ugogL8gyCsW9OPpyhKu6SSWEVpQ2RGKnLVMuTGNWCu6nUcEmatd714NMLoZN8AlQ5JDBuJTDmB3LIemiGJPbuUQE1AVBSlLiqJVZQ2QOoW5NL3kAmrrJNdALr3sbbJih6O0DT7Bqh0aGLYZcjvPoWDu5CF+QhP70YfS+o6cpe1P6yqh1UU5XxUEqsoDk7qOvK/byE3/mx9YMBQtKv+DD37qVEqxSGIoE7QtQecSERu24gYM7HxBzt+GArzwdUNekU1W4yKorQ/KolVFAcmpUR+8b41gRUa2tyHEUNG2DssRTmHGDYSeSIRuXU9NCGJtS1w0H+IKo9RFOW81D1IRXFQUkrkN/9Frv0RhEDcdp9KYBWHJapX7Dq8F5mX3ejj2JaaVaUEiqJcgEpiFcVBydgvkau+BUDcdBfaJZfbOSJFqZvwD4TufUBK5LaNjTqGzEiFtGQwGBADhjRzhIqitDcqiVUUB6THLUOuWAqAuPZ2tFFX2TkiRbkwMWwkgHXhg0awjcL26o9wa3q/WUVR2jeVxCqKg9F/+Qn51UcAiKk3ol0x1c4RKUr9iCExIAQcPYjMzmzw/qorgaIoDaGSWEVxIPrGNcjP3gFATPwzYvK1do5IUepP+PhDr/4A1gleDSCLCuDIfutxVBKrKEo9qCRWURyE3LYBueQNAMTYKYjpt6gWWkqbUz3Bq6ElBXLPNpA6hHVDBAS3RGiKorQzKolV2jRZVIC0mO0dRpPJ3VvQ//MqSB0xYjziutkqgVXaJDEkBjTN2jM2I7Xe+529SpeiKEp9qCRWabPkgV1YHv4r6Xdeg0w6Yu9wGk0e2IX+zotgsSCGj0Lc8je1ApfSZglPb+gzEMC6DG09yMoK2Lfduv+gi1ssNkVR2hf1l1Jpk2RRAfqHr0NlBebUZCwvPIy+8hukrts7tAaRifvR31oA5koYdDHir/MRmsHeYSlKk4hhDSwpOLQHysvAxw+6dG/ByBRFaU9UEqu0OVJK9E/ehrxsCOmM64hxYLEgv/kv+utPNqnRemuSJxLR33gGKsqh30Vocx5BGNUiekrbJy66FAxGSDmBTEu+4Pa2UoLo4eouhKIo9aZeLZQ2R26Ih+0bwWDEcMdD+D/6Itqt94DJGQ7sQn/6XlurHkclU06gL3oSSkugVxTavMcQTmqJTaV9EO4eEHURcOHRWCnlmdZaqpRAUZQGUEms0qbI06nIL/4DgJh2I6JrD4QQaCOvRPvHIugSCUWF6G8tQF/6LrKi3M4Rn0ump6AvfAKKCyGiF9o9TyCcne0dlqI0q7NLCqSUdW948ijk5YCzC/QZ0ErRKYrSHjTq3uWqVatYsWIFeXl5hIWFMWvWLPr27Vvn9itXrmTVqlVkZGQQEBDAjBkzGD16tO35TZs2sWzZMtLT07FYLISEhHD11VczatSoJp1XaV+k2Yy++DVr7VzvAYgrp9d4XoSGof3fK8jvPkHGfYdc+yPy8D60Ox5CdO5qp6hrklmnrQlsQR6EdUO770mEi5u9w1KUZicGXox0MkF6CpxKgvCIWrerLiUgajDCydR6ASqK0uY1OInduHEjS5YsYfbs2fTu3Zv4+Hief/55Fi1aREBAwDnbx8XF8fnnnzN37ly6d+9OYmIi7733Hu7u7gwdOhQADw8PZsyYQadOnTAajWzfvp23334bLy8vBg0a1KjzKu2P/P4LSDoCbh5ot82vtXZOODkhrrkN2XcQ+kevQ8oJ9OceRFxzG2LMRLu2rZJ52dYENjcLQsLQ7n8G4e5pt3gUpSUJVzcYMAS2/4bckoCoM4lVq3QpitI4DS4niI2NZezYsYwbN842GhoQEEBcXFyt2yckJDB+/HhiYmIIDg5mxIgRjB07luXLl9u2iYqKYvjw4YSFhRESEsKkSZPo2rUrBw8ebPR5lfZFHt6L/OkrALSb5yH8As+7veg/GO3JN6D/EKisQC59F/3fzyELC1oj3HPIwnz0hf+EzHQIDEF74FmEl49dYlGU1iKGjgSsrbZqKymQWafh1HEQGmLA0NYOT1GUNq5BI7Fms5ljx44xbdq0Go9HR0dz6NChWveprKzE6Q8TVkwmE4mJiZjNZox/mI0tpWTv3r2kpqZy4403Nvq81eeurKy0fS6EwNXV1fax0jbIkiL0DxaBlIgR49GGjbQ9V30da7uewtsXcd+TyJ+/R//6I9i1Gf3pe9FmP4DWd2DrxV9cZJ3ElZYMvgEYHlyA8FN3D87nfNdVaTu0gcOwOLtA1mnEiURERK+a13b3FuuGPfuieXnbMVKlOajf2/bJka9rg5LYgoICdF3H27vmi423tzd5eXm17jNw4EDWrFnD8OHDiYiI4NixY6xduxaLxUJhYSG+vr4AlJSUMHfuXMxmM5qmcfvttxMdHd3o8wIsW7aMr7/+2vZ5REQEL730EoGB5x/FUxyHlJKclx+nJCcTY2gYwfOfQHNzP2e7kJCQug9y81wqRlxO9suPY04+jr7wCdz/fAveN93Z4h0B9JJiMl95FEvyMTQfP4JefBensG4tes725LzXVWkTsi8eRUlCHK77t+Mbc2YuREhICBkHdlIOeI+8Aq/QUPsFqTQr9XvbPjnidW3UxK5aR73qyNBnzpxJXl4ejz/+OFJKvL29GT16NCtWrEA7q6bRxcWFV155hbKyMvbs2cPHH39McHAwUVFRjTovwPTp05kyZco522ZmZmI2t/2lSjsC/be16AlxoGnIv87ndH4B5J8pCRBCEBISQnp6+vlnQLt6Iv/vZcT/PkD+upLCr/9L4dYNGO54GBHcqUVil+VlWP71NBzeC+6eiPlPk2VwhrS0Fjlfe1Lv66o4PH3AMEiIo+iXVZROvBbNYCAkJIS0Y4mY92wDoCiyL8Xq96LNU7+37ZM9rqvRaKzXgGODklgvLy80TTtn9DM/P/+cUdJqJpOJefPmMWfOHPLz8/H19SU+Ph5XV1c8Pc9MatE0zZbld+vWjZSUFL777juioqIadV4AJyenc0oZqqlfMMcnM9PRP3sHAHH1DRDRq87rJqW88DU1OaPdNA/ZbxD6f9+CpEQsz9yH+MtcxKVjm/VWiaysRH/7eWsC6+KKNv8p6NxV/dw1UL2uq+LYogaDqxvkZiETDyB7WQcm9D3bwGKB0HAIClXXuR1Rv7ftkyNe1wZN7DIajURGRrJ79+4aj+/evZvevXtfcF9/f380TWPDhg0MHjy4xkjsH0kpbfWsTTmv0jZJiwX9g4VQVgo9+iEmzWy2Y4vBMdZJX736Q3kZ8qN/If/zKrKkuFmOL81m9PdfgX07rInzvU8iuvVslmMrSlsjnJxsixicvfCBbZUu1ZVAUZRGanB3gilTpvDzzz+zZs0aTp06xZIlS8jKyuKKK64AYOnSpbz11lu27VNTU0lISCAtLY3ExERef/11kpOTueGGG2zbLFu2jN27d3P69GlSUlKIjY0lISGBkSNH1vu8Svsif/wKjh4EVze02+9HaIZmPb7wC0B78FnEtJuspQpb1qE/cx/y6MEL73weUrcgP/oX7PwdjE5of3sc0bNfM0WtKG2TGGbt+S23bbD+jpjNyKpSArVKl6IojdXgmtiYmBgKCwv55ptvyM3NJTw8nEcffdRWu5Cbm0tWVpZte13XiY2NJTU1FYPBQFRUFAsWLCAoKMi2TXl5OYsXLyY7OxuTyUTnzp255557iImJqfd5lfZDHj2IjP0CAHHjXYiA4BY5j9AMiMnXIvtEWxdRyDqN/vL/Ia6+HjHpmgYnzlJK5KfvIDf/CgYD2p1/R/Qb1CKxK0qb0ncguHtCQR7y0F7KM1OhtBg8vSFC3aVQFKVxhHS0AodWkJmZWaP1luI4ZGkJ+jP3WVvyXDwabfaD591eCEFoaChpaWlNqtWRpSXIz95BbvrV+kDPfmi3P4jwr9+bJCkl8svFyJ+/t/a8vOMhtKplN5WGa67rqjgO/eO3kOviEKMm4O7tQ9H3X1pb5s26196hKc1E/d62T/a4rk5OTvUapGxwOYGitCT5+fuQdRr8gxB/ubPVzitc3dBmP4i4/X5wdoUj+9GfuRe5bUO99pfffWpNYAEx6x6VwCrKH4iq/s5y20ZKf7e+WVSlBIqiNIVKYhWHoW9Zh/xtDQgN7fYHELX0g21p2iWXo/3zdYjoBSXF6O++ZB1BKi+rcx/9h/9Za3gB8Zc70WLGtVK0itKG9OpvLR8oLsSSmQ5OJug7yN5RKYrShqkkVnEIMjsT+enbAIjJ19h1MpQICkV75EXExJkgBHJdHPqC+5Enj56zrR6/HPndp9b9Zv4V7fJJrR2u0oxKKi0UllvsHUa7JAwGxNARZz7vNwjh7GzHiBRFaetUEqvYndQt6B8ugpJiiOiFmHydvUNCGI1oM25Bu/8Z8PGD9BT05x9Gj/sOqesA6AmrkF9+YN3+6uvRJky3Z8hKE1VYdB5eeYJZ3x7h633ZWHRV09fcxNCzloxWpQSKojSRSmIVu5OrllkXBXB2tdalGhu1kFyLEH0HWnvKDroELGbkVx+iv/E0+prYMyPHV063LsagtGk/Hc7jVEEFZh0+2ZnJP+JPcrqowt5htS89+kJYNzRPb5XEKorSZCqJVexKJh1BLv8MAHHDHESQ462fLjy80OY9irjxLmsd374d1gloUiLGTETMnNWsq30pra+owsJXe62tAcd088LVqLE/s5T7fkji56N5aqZ1MxGahuH/XibkP98iPOtebVFRFKU+VBKr2I0sL0P/z2tgsSCGjEDEjLV3SHUSQqCNmYj2j4XQuav1sUvHIm6YqxLYdmDZ/hwKK3TCvU3ce2ko/5rcjX6BrpSadd74PZ0X16VQUGa2d5jtgnBxxaASWEVRmoHj3LdVOhz55WLISAXfAMTN89pEMig6dbEmsqnJEB7RJmJWzi+7pJIVB3MAuHlQIAZNEOxhYsH4Lnx3IIeluzP5PbmIg5nHueeSUIZ29rBzxIqiKAqokVjFTuT235Dr4kAItNvmI9w9G3yM1IIKbv36MC/GHWqBCOsmjE6ILpEqgW0nvtyTTYVF0jfQleFnJagGTfDnKH9emdCNcG8TeWUWnv3lFO9uTqfMrNsxYkVRFAVUEqvYgczLRv/4LQDEhBmIPtGNOs7S3Znklln4dlcK6YVqAo7ScKcKyll9NA+AWwYF1vrGJNLPhYUTu3F1H18AfjqSx/0/JnE4q7Q1Q1UURVH+QCWxSquSuo7+4etQXAhduiOm/qVRxzmZV876E4XWYwI/HM5tviCVDuPTnVnoEoaHedAvyK3O7UwGjdlDgnlmXDj+rkZSCyv4e9wJvtiTpVpxKYqi2IlKYpVWJeNXwIFdYDKh3fEgwujUqON8sScLCYR4WPePT8yjtFLd4lXq71BWKb8lF6IJuHnghdfoBhgY4s4bkyMY2dUTXcLnu7P4v7gTpBaoOwGKoiitTSWxSquRJ48hl30MgLhuNiIkrFHHScotY8NJ6yjso6PD6OLrSnGlztrj+c0Wq9K+SSn5eEcGAJdHeNPFp/4rR3k4G3joss48OKIT7k4ah7PLmP/jcVYeyVWtuBRFUVqRSmKVViHLy9EXvwZmMwy6GDFyQqOP9cUeaz/PEV08ifB14drB1mT4h0O56CqJUOphe2oxezNKcdIEN0QHNOoYo7p58a/JEUQHu1Fukbyz+TTP/XqKvFLViktRFKU1qCRWaRXym48gLRm8fdFuuafRM/uP5ZTxW3IRArh+gDX5mNI/FFcnjVMFFexKL2nGqJX2yKJL/rszE4DJvX0JdG9cSQtAoLsTT48L57bBQThpgi0pxdzzw3F+Ty5srnAVRVGUOqgkVmlxctcW5NofAdD+Oh/h6dXoY1WPwl7W1dN2C9jdZGR8d2vz9Niqfp+KUpeEpAJO5JXj7qQxM8q/ycfThGBqXz9em9iNCF9nCsotvJCQwpu/p1FSaWmGiBVFUZTaqCRWaVGyIBf9v28AIMZPRURd1OhjJWaXselUEZo4MwpbbXJvPwSwNbVYTbJR6lRp0Vm62zoKOyPKH09nQ7Mdu6uPM69M6MqMftafxfij+cz/MYkDGerugKIoSktQSazSYqSU6B+9AYX5ENYNMePmJh3viz3W5GNkVy/CvGtOxOnkaWJIJ3cAflTttpQ6/HQkj4xiM36uRq7u7dvsx3cyaNx6URDPje9CkLuR00WVPBZ/kk92ZlJpUfXaiqIozUklsUqLkWt/gL3bwMmENvshhJOp0cc6nFXKlpRiNAHXDah9Is6UPn6AdQRM3cZV/qi4wsL/9mYDcEN0AM7Glnv5iwp24/VJEVwe4YUu4et92fw9Lonk/PIWO6eiKEpHo5JYpUXIlJPIrz4CQMychejcpUnHq66FHd3Ni85etSfDg0LcCPMyUWrWWXusoEnnU9qf7w7kUFhuIczLxLhI7xY/n7vJwPyYTjwyshOeJo2jOeU88FMS3x/MUV00FEVRmoFKYpVmJysr0Be/CuZKGDAUcfnkJh3vYGYp21LPPwoLIIRgctUt4ljVbks5S06pmeUHrJP+bhoUiEFrXHeMxhjRxdqK66JQdyosksXbMnh6TTLZJZWtFkNHl11SyV0rjvLu5nT1uqAo7YhKYpVmJ7/9BE4lgac32qzGt9Oq9nnVKOzlEd6Eep6/JOHyCG/cnDRSCyvYkVrcpPMq7ceXe7Iot0h6B7hwSZhHq5/f382JJy8PY87QYEwGwc70Eu794TjrT6g7Bq0hIamA1MJKfjqSx4fbM9SiFIrSTqgkVmlWct8OZPxyALRb70V4NW3yzIGMEnamFWMQcG3/C7dDcnXSzrTbOqQmeCmQUlBBXGIeALcOCmrym6rGqr5TsGhiN7r7uVBUofPK+lQWbUilqELVcLek7We9of3+YC7L9qtWfIrSHqgkVmk2srAA/aPXARBjJiEGDmvyMZdWjcKOjfQm5AKjsNUm9/JFANvTijlVoCbSdHSf7cpElzC0kztRwW72Docwb2dentCVa/v7own4JamA+344zoFM1YqrJZRUWthf9b2d1MsHgP/uzOTno3n2C0pRlGZhbMxOq1atYsWKFeTl5REWFsasWbPo27dvnduvXLmSVatWkZGRQUBAADNmzGD06NG25+Pj40lISCA5ORmAyMhIbrjhBnr06GHbxmKx8NVXX7Fu3Try8vLw9fVlzJgxzJgxA01Tubi9SSnRP34T8nMhNBwx869NPua+0yXsTi/BqME19RiFrRbiaWJYmAebTxXx46Fc5gwLaXIsStt0JLuUDScLEcDNgwLtHY6NURPcODCQIZ08WLQxlfSiSp5de4rXJna7YMmM0jC700sw6xDi4cScocE4GzSWHcjhrU3peLsYGdq59ctLFEVpHg3O/jZu3MiSJUuYMWMGL730En379uX5558nKyur1u3j4uL4/PPPueaaa1i4cCHXXnstH3zwAVu3brVts3//fkaMGMGTTz7JggUL8Pf3Z8GCBeTknLnls3z5clavXs3tt9/OokWLuOmmm1ixYgUrV65sxJetNDe5bhXs3AQGI9rsBxHOzhfe6QKqR2HHd/ch2KNhf9inVE3w+vlYAcXqVm2HJKXkvzusvYXHRHjRzdfFzhGdq0+gK69PiqB3gCvFlTovJKRQbtbtHVa7Ul1KMKSTO0IIbrko0Nb67KV1KRzMLLVzhIqiNFaDk9jY2FjGjh3LuHHjbKOwAQEBxMXF1bp9QkIC48ePJyYmhuDgYEaMGMHYsWNZvny5bZt7772XCRMm0K1bNzp37sydd96JlJI9e/bYtjl8+DBDhw5l8ODBBAUFcckllxAdHc3Ro0cb8WUrzUmWlSK//i8AYsbNiC6RTT7m7vRi9p4uwaiJRi0NGh3sRri3iTKzzppj+U2OR2l7dqQVs6fqZ+gv0Y4zCvtHrk4afx/ZCW8XAyfyynl7U7qaeNRMpJRsTS0CYEgn64irJgR3XxLKkE7WbhELfklW/XsVpY1qUDmB2Wzm2LFjTJs2rcbj0dHRHDp0qNZ9KisrcXJyqvGYyWQiMTERs9mM0XhuCOXl5ZjNZjw8ztzm6dOnD6tXryY1NZVOnTqRlJTEoUOHuPXWW+uMt7KyksrKM21shBC4urraPlaah9z8K5QWQ1Ao2hXTmvy9lVLy+W7rKOyVPXwIOs8obPW5/nhOIQRX9/bj7c3pxB7KZUofPzR1zduMuq5rfelS8vFO6yjs5N6+BDv4LfoAdxN/H9mZf8Sf5JekAnoHujK5t5+9w2oRTb22DXEyv5zsEjMmg2BAiLvtnE4Gwd9HhfGP+BMczirjqTXJvDyhGwHuThc4onI+rXltldbjyNe1QUlsQUEBuq7j7V2zUbi3tzd5eXm17jNw4EDWrFnD8OHDiYiI4NixY6xduxaLxUJhYSG+vufOXv/ss8/w8/NjwIABtsemTp1KSUkJ999/P5qmoes6119/PZdddlmd8S5btoyvv/7a9nlERAQvvfQSgYGOOyrT1kgpOb1+NTrg86fr8ezcucnH3JSUw/7MUkwGjb+N7UeQ54VLE0JCzq17vd4/iE92ZZFeVMnxUhOXda+7x6zimGq7rvWxcn86x3PLcTcZuHtcFD6ujp+chIZCRqWJ139JZPG2DIb1DGNg55ZflMFeGnttGyI++QQAQ7v40S383Nemf18XyOzPt3Mip4RnE9L4zw2D8W4DPyuOrjWurdL6HPG6NmpiV23ZeF0Z+syZM8nLy+Pxxx9HSom3tzejR49mxYoVtU7IWr58ORs2bOCpp57CZDozerJx40bWrVvHvffeS3h4OElJSSxZssQ2was206dPZ8qUKefEmJmZidlsbsiXrNRBHtmH5fgRMJkoHDCcorS0ph1PSt5aa/3DM6GHN5aiHNKK6t5eCEFISAjp6bXfgh0f6cWyAzn897ejdHdTzeXbigtd1/OptEje+tVaZjS9nx+leVmU5rVAkC3g8s5GtnTxZMPJQh5ZtotFkyLwdW3Uy7TDasq1bai1B62vR/39jaTV8dr0xKhOPLIqiePZxdzz5VaeGdelRZckbs9a89oqrcce19VoNNZrwLFBr45eXl5omnbOqGt+fv45o7PVTCYT8+bNY86cOeTn5+Pr60t8fDyurq54enrW2HbFihUsW7aMJ554gq5du9Z47tNPP2Xq1KmMGDECgC5dupCZmcl3331XZxLr5OR0TilDNfUL1jz0tT8CIIaPBjf3Jn9ft6cWcTCrFJNBMCPKv97Hk1LWuu3EXj4sP5jDzrRiTuSV0cW76RPOlNZT13U9n5VHcjhdVImvq5Gre/u2ud/1uy8J4UReOacKKnh53SmeGdcFYyuuMNZaGnNtG6Kk0sL+DGtrrcGd6n5tCnQ38tTYcB5dfYIDmaW8vC6FR0d1btVV3dqblr62in044nVt0NtNo9FIZGQku3fvrvH47t276d279wX39ff3R9M0NmzYwODBg2uMxK5YsYJvvvmGxx57jO7du5+zf3l5+Tkjt5qmOdw3tCORBbnIbRsBa1/YJh9PSpZW1cJe1dMHv2YYgQr2MDG8aoWmH9XiB+1eSaWFL/dkA3D9AH9c2uCImpuTgUdHdcbVqLEvo5RPqmp7lYbZlVaCRUInT6cLti3r6uPM46PDMBkEW1KKeHuzGklUlLagwa/wU6ZM4eeff2bNmjWcOnWKJUuWkJWVxRVXXAHA0qVLeeutt2zbp6amkpCQQFpaGomJibz++uskJydzww032LZZvnw5X3zxBXfddRdBQUHk5eWRl5dHWVmZbZshQ4bw7bffsn37djIyMti8eTOxsbEMG9b0hvpK48h1q8FihsjeiK7nvvFoqG2pxRzJLsNkEPy5X8M7EtSlut3WmmP5amWkdu67AzkUlFvo5GlifHcfe4fTaGHeztx3aShg/Zo2qOVpG2xbVVeCwZ3q1wc2KsiNh0Z0QhMQfzSfz3bV3jZSURTH0eChrpiYGAoLC/nmm2/Izc0lPDycRx991Fa7kJubW6NnrK7rxMbGkpqaisFgICoqigULFhAUFGTbJi4uDrPZzMKFC2uca+bMmVx77bUA3HbbbXz55ZcsXryY/Px8/Pz8uOKKK5g5c2ajvnClaaTFgkyw9uhtrlHY6o4Ek3r54tOMdYD9g9zo6uPMibxyfj6az9S+7XPWd0eXV2pm+QFrb+mbBgW0+Vvwl3bxZEY/P77dn8Mbv6cR7uOsymHqSUpZoz9sfV0c7sldw0P496Z0vtqXjY+rgSnttEuEorQHQnbAeyaZmZk1Wm8pDSd3/I7+9vPg4YX28ocIp6a1MNp8qpDnfk3BxSh4f2p3vF3ql8QKIQgNDSUtLe28t//iEvP496Z0gj2ceOfqSFXv5uDqe13P9t6WdH48nEdPfxdemdDVIdvBNJRFlzy5Jpk9p0vo7GXi1au64uZksHdYTdKYa9tQSbll3PdjEiaD4LNremIyNOym4//2ZPHZ7iwE8OCITozs5tUicbY3rXFtldZnj+vq5ORUr4ldba9gTHEI+i9VE7ouu6LJCewfR2Hrm8A2xOhuXniaNE4XVdqanyvtR1phBauO5AFw60WB7SKBBTBogocu64S/m5GUggre+E0lB/WxrWoUdkCwW4MTWLAucz2plw8SeP23VHamFTdzhIqiNAeVxCoNJtNTYP9OEAIxakKTj7fpVBHHcstxMWpMb6Fb/c5GjSt6+AAQqyZ4tTuf7crEImFwqDsDgut/+7gt8HEx8veRnTFq8FtyEcsO5Fx4pw5u2x9W6WooIQSzhwQzoosnZh1eSEjhaE7ZhXdUlHbKETsTgEpilUaQv/5k/WDAUERg05of62eNwk7p7YtXC4zCVpvUyxdNwO70Ek7mqWUm24vE7DLWnShEALdc1D4XMukd4MrsIcEAfLIzk93pamSwLsUVFg5klgINq4f9I4MmuD8mlOhgN8rMOk+vTSatsKK5wlSUNiG9sIL/7cniuo82236vHIlKYpUGkeVlyA0/A6A1w4Su35ILScorx9WoMa2FJ1wFujtxcZi1N7EajW0/Pt6ZAVhLRiJ8XewcTcu5qqcPYyO90CW8uj6VzGJV11+bXenF6BI6e5kIaeJyw04GjUdHdybC15n8MgtPrUkmt1QtlKO0bzmlZr4/mMNDK5OYu+IYn+7K5Hh2MQlJjtclRSWxSoPIzQlQWgyBIRB1UZOOpUvJF1WjsFf38cXTueUnrFzdx9pua+3xfArLVbuttm5nWjG70kswavCXge17WWEhBHcOC7EmVOUWXl6XQqVFt3dYDqe6HnZwE0Zhz+bmZODJy8MJ9nAivaiSZ9YmU1KpXjuU9qWo3EJcYh5PxJ/k9mXWpa+PZJehCRgY4s4TV/XhpkGOd6dLJbFKvUkpkWt/AECMnoioZdnghthwopCT+RW4O2lM7dM6bWz6BboS4etMhUWy+mheq5yzLcsvM3Mgs8QhE35dStso7MSevgR7NG3UrS1wNmr838jOeJg0DmeX8cG2DHuH5FCklLYktrH1sLXxdTXy9NhwvJ0NHMst54Vf1RsIpe0rM+skJBXw3K+nuPXbI/x7Uzq7T5egS+gd4MIdQ4P4cHoPnh3fhT8N6ISHyfE6o7SvRbmVlnXsECQfBycTYsS4Jh3Koku+2GMdhf1THz88WmEUFqyjWVN6+/Lm7+n8eCiXqX38VLstoLRSJzm/nBN55Zyo/j+vnPwya/Lq5qRx/YAAJvXyxcngGN+v9ScKOZpjLUW5pn/zLY7h6EI8TTwQ04lnfznFT0fy6BXgytjI2pf97miO55aTW2rG2SCICnJt1mOHepr45+XhPB5/kt2nS1i0MY0HR3RSrx9Km1JpkexMKybhRAGbTxVSZj4zWaurtzOjunkxsptnmxkUUEmsUm+yuq3WsJEIj6b1TVx/ooBTBRW4mzTbLf7WMqqbF//dkUlmiZnNKUVcGu7Zque3J7MuSS2s4ESuNUk9WZWwphfVXl8pAA9nA4XlFj7cnsGqxDxuHxzEkM7NN8rVGJUWyWe7rMuxTu/n1yJt2RzZkM4eXD8ggM/3ZPHO5nS6+TgT6dd+64Hrq3qBg+iQxrXWupAe/i48Oqozz/6SzIaThXi7nGbO0OB209JNaZ8sumR/ZgnrkgrZeLKAwoozdxGCPZwY2dWLUd286OrT9hZT6Viv/EqjycJ85Nb1QNNX6LKOwlrXt5/W1w/3Vr5FYTJoXNnDh6/3ZRN7KLddJrFSSrJKzJzIKycpr5yTVSOrpwoqMOu1t0nxcTHQ1ceZLj7OdPNxpquPM+HezpgMgp+P5vPJrkxSCip45pdTDO3kzu1DgunkZZ9363GJeaQXVeLjYuBPrVSK4miuHeDP4exStqUW8+K6FF67qlur1JU7sqa21qqPQaHuzL+0E69tSOXHw3n4uhq5tn/7rsdW2h4pJYk5ZSQkFbD+RCE5Z01I9HExcFlV4trL36VNvwlTSaxSL3L9ajCboWsPRETPJh0rIamA1MIKPE0aU3q37ihstYm9fPh2fzZ7T5eQlFtGtzY8q72g3GJLUqv/ncwvp6Sy9po9F6NGVx+TNWH1tiarXX2czzuaeUUPH2K6ePLlnixiD+WyNbWYnenHuLq3H9cO8G/VVaRKK3W+3GstRbl+QACuTh2ztF8TgvtjOvHgyiROF1WyaGMq/xgThtaG/yA1RVGFhYNZ1hZAzTWpqy4ju3mRX27mP1sz+GxXFj4uRq6s6kOtKPaUnF9OQlIB604UkFZ45g6bu5PGpV08GdnViwHBbu2mDEYlscoFSd2C/HUlAOLyyU06lkWXtgRkWr/WTX7OFuDmxKXhnmw4WUjsoVzuviTULnE0hFmXJOWWcyKvrKp2tYITeeV1tvwxCAjzOpOkdqlKXAPdnRqV6LibDNw2JJgre/rw4bYMtqUWs+xADmuP53PzoEDGRnq3SgK1/GAO+WUWQj2dbAtYdFSezgb+b2Rn/h53gm2pxfxvTzbXR3fMUcFdadbWWmFeplap55vS24/cUgtf78vmnc3peLsYbC38FKU1ZRZXsi6pgIQTBRzPPdMD3WQQDOvswehuXgzu5I5TC5TY2JtKYpUL27MdsjPA3RMx7LImHeqX4/mkFVbi5Wxgci/7jMJWu7q3LxtOFvJrUgG3DAps0YUWmiqv1Mw/f07mRH7tizQEezjVGFXt6uNMJ09Ti0zCCvNy5p+Xh7M1pYgPtp0mtbCSN39PZ+WRPO4YGkzvgOadUHO2vDIzy/ZbV6y6aWAgxnYymtAUkX4u3DU8hH/9lsYXe7Lo4e/CUDvXLNvDVltXgtZbse2mgQHklZmJP5rPq+tTeXpsOP2C3Frt/ErHlV9mZsPJQtYlFbD/rEUIDMJa8jKqmxfDwzzsNlDUWhz3r7biMPRfqtpqjRiPMDW+8NusS/6311oLO72fn91vA/cJdKW7nzNHc8qJO5rPzCjHnOFeWG7hyTXWBNbVqNHD36VGshrubbLLC9XQzh4MDHEn9lAOX+7J5kh2GY+sOsGYCC9uGRSIv5tTs5/zf3uzKTPr9PBzIaaLGvWqNjbSm8NZpfx0JI+FG1NZeFW3Jjf6b0t0KdlRVQ87uAXrYf9ICMG84SHkl5nZklLMgl9P8cIVXdvkBBnF8elSsi6pgLXHC2yLeoB1Am5UkCsju3kRE+7p0AMyza3jfKVKo8iMNNi7HQAx+qomHWvtsXzSiyrxdjEwyc6jsFDdbsuPf/2Wxo+Hc5ne1/HabZVUWnh6bTJJeeX4uhh44cquhDpQcuJkEEzv58+YCG8+2ZnJz8fy+eV4Ab8nF3JNVAB/6uvbbLPE0wsrWHXEutLaLRcFdtjaz7rcPiSIozllHM4u48V1Kbx0ZVecje3v9mFtjueWk1tmwcXY/K21LsSgCR6+rDP//DmZg1mlPLUmmZeu7EqQR/O/iVM6rsziSv71Wxp7TpfYHuvu58Kobp5c1tWLgBYYNGgLOsYrnNJo1bWw9B+MCGp83Wil5cwo7J/7+ePiIH9cR3b1xNvFQHaJmd9PFdo7nBrKzDrPrj3FkewyPJ0NPDOui0MlsGfzdTVy76WhvHpVV3oHuFBmlnyyK5N7Yo+zKbkQKWvviNAQn+3Owqxbb5UNDGm9W8ZthZNB4++jOuPtbOB4bjnvbE5vlu97W1DdlSA6xD51f85GjX+MCSPc20ROqZmn1iZTUKaWp1Wax6/H87nvh+PsOV2Cs0FwbX9/3r46koUTuzGtr3+HTWBBJbHKeciKcuSGeAC0MU2b0LXmWD4ZxdaWSFf19GmG6JqHk0FjQtXkoNiDufYN5iwVFp0Xfj3F/sxS3J00nh4bTpc2cIuyp78rL17ZlftjQvF1NZJeVMnzCSk8tSaZk3XU89bHsapWMQC3OuDSh44iwM2Jhy7rhCZg7fECVh7Js3dIrWK7Heph/8jT2cBTY8MJcDOSUlDBs7+cosysVvVSGq+o3MKr61NYuDGN4kqdXv4uvD4pghsHBtLZTu0NHY1KYpU6yS3robgQ/INgwOBGH6fSovO/qo4EM6P8He4W51U9fTAI2J9ZyrGcMnuHg1mXvLI+lZ3pJbgYBf+8PJzubaiRvSYEYyK8eefqSGZG+WPUBDvTS7jvh+P8Z+tpihqxhO3HO60LG4zq6qWa+l9AdIg7N1cl+ou3neZQVukF9mjbCssttq+xJfvD1keAmxNPjQ23LQv88rqUOvsyK8r57Ewr5t4fjrPuRCGagBuiA3jxyq52683tqBwrm1AcilxbNaFr9ESE1viJQ/FH88kqMePn6pi9FP3dnBjRxboCWewh+47GWnTJoo2pbD5VhMkgeHx0GH0CW7fGr7m4OmncPCiQt6ZEcHGYB7q0fn/v/P4YK4/kYqnnH/dd6cXsSCvGqMGNAztm+6iGmt7Xj0vDPTDr8FJCCnnt+Nb2zqrWWuHeJgLd7X9bNdzbmSfGhGMyCLalFvPW72noHaSsQ2m6crPO4q2neXJNMtmlZjp5OvHSlV25fkCAw83ZcAQqiVVqJY8fgROJYDQiLhvf6ONUWHS+qqqFdcRR2GpTqpa+TUgqIN9Of/B1Kfn3pnTWnyjEqMHfR3Ymuh3UfoZ6mnhsdBhPjw0n3NtEYbmFdzaf5sGVSew7a5JCbaSUfLzDOgo7oYdPh5px3xRCCO69NJQwLxPZpWZeXZ9a7zcNbU1rrNLVUH0CXXnkss62so5HVp1gZ1pxh6lRVhrnWE4ZD65M4vuqwZSJPX1YNCmCXi3YtrCtc8yMQrE7+cuPAIihlyE8vRt9nNWJ+WSXmvF3M3JFj8Yfp6X18nehp78LlbokLjGv1c8vpWTx1tP8fCwfTcCDIzq1u16fg0LdeX1SBLOHBOFu0jieW85j8Sd5eV0KmcWVte6z4WQhiTlluBg1rh2gRmEbws3JwP+N6oyLUWPP6RI+3ZVp75CanS4l29PsXw9bm2FhHtx3aSjOBsGR7DKeXJPMP35O5mBm+y7vUBrOoku+3pfNw6uSSM6vwNfFwD/HhHHn8BCHmQTtqNR3RzmHLCpAblkHgBgzqdHHKTfrfLXPOgp7TZR/s7VaagnWdlvW0difDue1ah2blJKPd2byw+E8BHDfpaHEVJU3tDdGTXB1Hz/euTqSCT18EFgT1XnfH+OL3VmUnzURxmzR+WRnBmC9Pe7TgXofNpdwb2fuvSQEgG/357DxZIGdI2pex3LKyS+z4GLU6BvoeIsMjInw5v2p3ZnS2xejJth7uoS/x51gwS/JJOXav/5esb/TRRX8I/4kn+zMxKzDJeEevDE5giHtbBCjpThuVqHYjdzwM1RWQJdIiOzd6OPEJeaRW2om0M3I+O6OOwpbbUQXL3xdDGSXmvntZOu12/rf3my+rVqF6q7hIYyJcPzvVVN5uxiZd3EICyd2IyrIlQqL5PM9Wfzt+2OsP1GAlJLle9JIK6zE29nAn/rav69wWzWiqxfT+voB8K/f0jnVhC4Rjqa6lGBgiFuLrE7XHHxcjdwxNJh3/xTJ+O7eaAK2pBRz349JvLo+hZSCCnuHqNiBlJL4o3nc+0MS+zNLcTVq3HtJCP83snOHWqygqVQSq9QgdR3560+AdRRWNLKhfLlZ5+vqUdj+AW1izWYng+CqntZkqbUmeC0/kMPS3dbODbcPCWKCA7Ufaw2Rfi48N74LD1/WiQA3I5klZl5Zn8pjq0/y/objAFw3IKDdL53Y0m4ZFEj/IFfKzDovJKRQUtnwDhGOaJuttZbjj1oFujtxzyWhvDklgsu6WlebW3eikLtjj/HW72l1ltQo7U9+mZkX16Xw5u/plJl1+gW68q/J3RjX3afRf3M7qkal+6tWrWLFihXk5eURFhbGrFmz6Nu3b53br1y5klWrVpGRkUFAQAAzZsxg9OjRtufj4+NJSEggOTkZgMjISG644QZ69OhR4zg5OTl8+umn7Ny5k4qKCkJDQ7nrrruIjIxszJeh1GbfDshMBzd3xPDRF96+DiuP5JFXZiHI3YmxkW1nZHFCTx++2pfFwaxSjmSX0tO/5Qrqfzqcy4fbrbfLb4wO4E99/FrsXI5MCMFlXb0Y1tmDb/dbR6X3ZVgnfIV4ODlkR4u2pnpVqft/SuJUQQVv/Z7Ow5d1atN/MAvKLRyuaq012MHqYc8nzMuZhy/rzJ/7lfHZrky2phaz+mg+a48XMLGXDzOj/FXpTD0dz7V+D3enl9An0JVR3by4JNwTD5PjvundmlLEm7+nkVdmwajBX6IDmeaAq0W2FQ3+Tdm4cSNLlixh9uzZ9O7dm/j4eJ5//nkWLVpEQMC5Ey/i4uL4/PPPmTt3Lt27dycxMZH33nsPd3d3hg4dCsD+/fsZMWIEvXv3xsnJieXLl7NgwQIWLlyIn5/1D3tRURFPPPEEUVFRPPbYY3h5eXH69Gnc3ByvDqot06sndMWMRzg3rrl+mVnnm6pR2Gv7+zvsbb7a+LoauayLF78kFfDDoVzmx7RMErv2WD7vbTkNwJ/7+XFNf/8WOU9b4mzUuCE6kPHdfViyI4Od6aXMGRbSpn5+HJmPq5G/j+zM4/En2HCykN4Hc5nat+2+cdqZVowEuno7O0RrrYaK9HPhicvDOZBRwie7MtmXUcr3B3NZnZjHn/r4MbWvn0MnY/aUUlDB0t2ZrD9xpuxrV3oJu9JLeGfzaYZ0cmdUN+sbY0fpiFNm1vloe4ZtAZJwbxMPxHRSfa+bqMFJbGxsLGPHjmXcuHEAzJo1i127dhEXF8df/vKXc7ZPSEhg/PjxxMTEABAcHMyRI0dYvny5LYm99957a+xz5513smnTJvbs2WMbsV2+fDn+/v7MmzfPtl1QUFBDw1fOQ2amw56tAIjRVzX6OD8eziW/3EKIhxOXt6FR2GpT+vjyS1IB604UMusiMz6uzTsqsuFkAW/8noYEJvf25eZBgW16RKy5Bbo78cjIMEJDQ0lLS1NtiZpRn0BXbhsczPtbT7NkRwbd/VzoH9w2BwJsrbU6t51R2Nr0DXLjufFd2Jlewqc7M0nMKeN/e7P58XAuM/r5M7m3r5qhXiWzuJIv92Tx87F8qufejuzqycRevuzPKGFdUiEn8svZdKqITaeKcDFqXBLmwchuXgwKdcdop9HOw1mlLNqYSmqhtWTk6j6+3DIo0KEnO7cVDfrrbDabOXbsGNOmTavxeHR0NIcOHap1n8rKSpycar5LNplMJCYmYjabMRrPDaG8vByz2YyHx5k6p61btzJw4EAWLlzI/v378fPz48orr2T8+Lp7mFZWVlJZeabOSAiBq6ur7WOlJj1hFUiJ6DcILTSsUccoqbTYJildN6Dla2Grr2NzXs9eAW70DnDlUFYpqxLzuD66+ZY53XKqkNfWp6JLGN/dmzuGBqOpn8VztMR1Vawm9/blcHYpvxwv4OX1Kbw+KQL/Vlx7vTmurS4lO86qh23rPydCCAZ38uCiUHd+Ty7k012ZJOdX8PHOTL4/mMM1AwKY0MPH4ecWtNTvbV6Zma/2ZtXoHDOsswc3DQokwtc6ktk/2J1rBwSSlGtdojohqYCM4kp+SSrgl6QCPJ0NjOjiyahu3vQLcm2V112LLvnf3iy+3JOFLsHfzcj8SzsxMLRtvfFy5NfjBiWxBQUF6LqOt3fN0TVvb2/y8vJq3WfgwIGsWbOG4cOHExERwbFjx1i7di0Wi4XCwkJ8fc+ddfzZZ5/h5+fHgAEDbI9lZGSwevVqJk+ezPTp00lMTOSjjz7CycmpRn3t2ZYtW8bXX39t+zwiIoKXXnqJwEC19vofyYpyUjfGIwH/GTfhGhraqON89HsSheUWuvi6cn1Mb4xa67zohoSENOvxbr5E8I/Y/cQdLeDu8f2b5Y/HlhM5vLTuEBYJE/oG8/SkfqoO6gKa+7oqVs9ODea2z7ZxJLOI744U84+r6p7T0FKacm33pRWQX27B3WRgbHQkRgdP7hpiRieYOqwXqw6k896G46Tml/H+ltN8fyifO0ZEMLFfcKu9rjZWc/3eFpZV8umWk3y+7RSlVZMRh4T7MG9kd6I7136XLzQULu0Hj0jJ3rQCVh04zeqDGeSUVLDySB4rj+QR5OnMFb2DuKpfCL2DWuZN0MncEv75w372pVnb2l3ZJ4i/X9EbL5e2V/pSzRFfjxt1n7S2C17XD8HMmTPJy8vj8ccfR0qJt7c3o0ePZsWKFWi1/CIuX76cDRs28NRTT2EynVmdR9d1unfvbitZiIiIIDk5mbi4uDqT2OnTpzNlypRzYszMzMRsbp/LMG45Vch/d2Ti4awR6OZEoLv1X4Cb0faxey11Vvpva9AL8sEvgNzwHuSlpTX43CUVFj7ZdAKAP/f1JfP06SZ/PRcihCAkJIT09PRmve3c11Pi52okq7iCbzYdZnQT214dyCzhyZ9PUmGRXBzmwdyLfMk4nd5M0bY/LXVdlTPuGOzPI6uK+GFfGn/q4d5qdaXNcW1X7bYu3BAd7EZmRsu/ztjDRX7w5qRurD6ax//2ZJFWUMYzPx3gww1HuXFgIJd28XS4uzjN9XtbZtaJPZjDN/uzKa6w9o7u6e/CzYOCGBjihhAlpKWdf7U/gAABN/bz5Po+Huw5XcKvSfn8frKQjMJyPtuazGdbk+nsaWJkNy9GdfMizLtx80DOJqVk1ZE8Pth2mnKLxN1J487hIYyO8KY4N4viJp+h9dnj9dhoNNZrwLFBSayXlxeapp0z6pqfn3/O6Gw1k8nEvHnzmDNnDvn5+fj6+hIfH4+rqyuenp41tl2xYgXLli3jiSeeoGvXrjWe8/X1JSys5i3usLAwNm3aVGe8Tk5O55QyVGuPfxiLKyy88Xsa+WXV7XNqXxnGzUmzJbUBbk4Euhvx23SYQO9IAkeMJkAKnBrx/fn+YA6FFRY6e5kY2dWzVb/HUspmPZ9Rsy7599nuLL4/mMOobo1ffCAxu4yn1yRTZpYMCnXn4cs6YRDt82ewuTX3dVXO6B3gSv9gN/aeLmHZ/mzuGBrcqudvyrXdlmKthx3cyb1d/3xUvw6NjfDih8O5fLsvm1MFFby0LoXufs7cNDCQi0LdHe42b2OvbaVFJy4xn//tzSKv6u9YF28TNw4M5OKwMyOmDT22Jqy9hAeGuHHnsGC2pxaTkFTAlpQiUgor+GJPFl/sySLS15lR3by4rKtXo97U5ZaaefP3NFvrt+hgN+69NJRAd6d28XPqiK/HDUpijUYjkZGR7N69m+HDh9se3717N8OGDbvgvv7+1hnYGzZsYPDgwTVGYlesWME333zD448/Tvfu3c/Zv3fv3qSmptZ4LDU1VZUGnOXzPVnkl1no5GnihugAskoqySquJLPETGZxJVklZgrLLZRU6pzMr+Bk/llNtgNGW/8VgvjiED6uRgJtiW7V/+5OBLo5EeBuxNvZUOOFs7jCwncHrbWw1w8IaBe3ya/s6cOXe7M5nF3GoaxSejdi/eoTeeU8teYkJZU6UUGuPDaqs8PXtSkdxzVR/uw9XUJcYh7X9G8brZ0KyswcybauduVoS822FGejxox+/kzo4cPygzksP5DL0Zxynl57in6Brtw0KJCooLY5QQ+staO/HM/niz1ZZBRb75KGeDhxQ3QAI7t6NevfE5NB45JwTy4J96Sk0sLmU0UkJBWwI62YY7nlHMvNZMmOTPpVtewa0cWzXosP/J5cyL83pVNQbsFJE9w8KJCr+/g63Gh5e9PgV6wpU6bw5ptvEhkZSa9evYiPjycrK4srrrgCgKVLl5KTk8Pdd98NWBPNxMREevbsSXFxMbGxsSQnJ/O3v/3Ndszly5fz5Zdfcu+99xIUFGQb6XVxccHFxVq0PXnyZJ544gm+/fZbYmJiSExM5Oeff2bOnDlN/R60CyfyyvmhqkH/nGHBXFRH4XiZWbclttb/K8nctZus/BIyvUPJMnpSqUtyS83klpo5nF370ogmgyDAzUhA1WhuQZmZ4gqdMC8TI7p41rpPW+PjYmRUN0/WHLO222poEptaUME/fz5JYYVOT38X/jEmzGHavSgKWEenevq7cCS7jO8P5nLzIMcfFNhe1Vqrm49zq05IcwTuJgN/iQ5kci9fvt2fww+HctmfWcpjq08ypJM7Nw4MpHsbatmkS8lvyYUs3ZXFqaqVy3xdjVzX35/x3X1avL2em5OBMRHejInwpqDMzIaThaw7UcC+jFL2Z1r//WfraQaFujOyqxcXh3ucs/BKSaWFxVsz+PlYPgARvs7cH9OJrj5NL01QLqzBSWxMTAyFhYV888035ObmEh4ezqOPPmobEc3NzSUrK8u2va7rxMbGkpqaisFgICoqigULFtRojxUXF4fZbGbhwoU1zjVz5kyuvfZaAHr06MFDDz3E0qVL+eabbwgKCuLWW29l5MiRjfrC2xMpJe9vPY0uresu15XAArgYNcK8nW21P7K4CP29d6CiAu3vL0L3XuSXW8gqNpNZPZJbNYqbWZX85pWaqbBIUgsrbS1Dqt0Q3T5GYatN7uXHmmMFbDhZwKzBQfjVs91WRlElT/x8krwyCxG+zjx1ebhadUpxOEIIZkb580JCCj8ezmV6P8fvTbrd1pWgY4zC1sbbxchfBwdxdR9f/rcnm/ijeWxLLWZbajExXTz5S3QA4c1Q39lSpJRsTy3ms92ZHM2xLoPs6Wzgz/38mNTL1y5v9r1cjEzs5cvEXr5kFley/kQB604UcDSn3Pa9NW0WDOtsbdk1pJM7idllvP5bGqeLKhHA9H5+/CW6baxQ2V4I6WgFDq0gMzOzRuuttm5dUgGvbkjFZBC8NSWCYA/ThXeqoq9ejvzfBxDWDe2f/6pXbVWlRZJTWklmcXWZgvVjPzcj1/b3b9XbJ0KIFu8n+n9xJziQWcr1A/y5oR7ttrJLKnls9UnSiyoJ8zLx3BVd2sRtWkfSGtdVsdKl5L4fjnMyv4KbBgZwTf9zF61pTk25thZdcuu3iRSWW3h+fBei2miP2+aWVljB57uzSEgqQGKtAR0e5kFPP1e6+jjTxcdEkLtTi9fO1ufa7suw9sPdn2mds+Fq1JjW148/9fV1yDf6pwrKWZdUQEJSIamFZ0rw3Jw0ysw6uoQgd2vrrPb682iP12MnJ6fmn9ilOJ7SSp2PdliXLv1zlH+DElip68hffgJAXD6p3i9wTgZBsIepQedqy6b09uVAZikrj+QxM8r/vO+y88vM/PPnZNKLKgnxcOKZceEqgVUcmiYEf47yZ9HGNFYczOXqPn4O21w/MaeMwnILbk4avQNbbknotibU08QDIzoxo58fS3dnselUEb8nW/9VczVqdPFxpquPia4+ztZ/3s71qvdsDkdzyvh0Zybb06wj6SaDYFIvX/7cz6/VYmiMMC9nbogO5PoBARzLLSchqYB1SQVkl1prd8dGejF7SHCtXX+Ulue4PzlKvXy9L5vsEjPBHk5Mb+gSkgd2QUYquLohhtfepkyBS8I98Xc1kl1qrZkaU0e7raJyC0+uSeZUQQX+bkaeGRfe4Wr2lLZpZFcvlu7O4nRRJasT87i6j2MuR7u9apUue66+5Mi6+brw2OgwErPL2JlezIm8ck7klZNSUE6pWedQVimHsmp2rfF1MVSN1jrbktsu3s7Ndks/Ob+cpbuz2HjSukSsQcAVPXy4tr9/m3p9FELQ3c+F7n4u3HpRIAczS5GSdjv62laoJLYNSymo4LsD2QDcPjiowS86+i8/AiAuHYtwUaMadTFqgom9fPh0VxbfH8xldDevc0atSyotPL02meO55Xi7GHhmXHiHGalW2j6DJpjRz493Np9m2f4crurp2+KTahpjm6qHrZce/i708D8zwcusS1ILKkjKK+dkXjkn8q3/pxdVkltmITe9hJ3pZ/quCiDE08mW0HarSm5DPU31nvNwuqiCL/Zk88tx6xKxAhjdzYvrowMI9Wzbr42aEPRrw90g2hOVxLZRUkoWbz2NWYfBoe4MD/O48E5n75+dCbu2ACDGTGqBCNuXK3v48OWebBJzyjiUVUafs25llpt1nvvlFIezy/A0aTwzNpwwL8edVKEotRkX6c0Xe7LJLjWz9ng+V/bwsXdINeSVmUms6pZyvsmryrmMmqBL1Wjr2UordU5WJbQnzvqXX24hrbCStMLKGiUJTpogzNtkK0WoHsENcDPa3thnFZXz3pZ0Vh3JxWxdp4CLwzy4cWCgmrGvNDuVxLZRm1OK2J5WjFGD2UODG1ywLxNWgtShTzQiNOzCO3Rw3i5GRkd4EX80n9hDOfQJ7AxYm3O/mJDC3oxSXI0aT44Np5tv22lxoyjVnAwa0/v68eH2DL7Zl824SG+H6jSyI9XaWivCt+O11moprk4avQNcz2kfmFdmrpHUnsgrJzm/nDKz5HhuOcdzy2ts727S6OrtTIC7E5tOHaK8KnsdFOLGjQMD6dWIHtuKUh8qiW2Dys06H2yzTuaa2sePzl4NuzUjKyuR6+IA0C5Xo7D1NbmXL/FH89l4spDskkp8XIy8uiGV7WnFOBsE/7w8jJ7+6sVaabuu7OHDV3uzSC+qZMPJwiatVNfczrTWathdJ6XhfFyM+IQYGRhyZsRbl5KMokprUptffla9bQXFFbq120BVx4HeAa7cNDCA6BA1Yq60LJXEtkHLDuRwuqgSf1djo9rhyO0boTAffPxg4MUtEGH7FOnnQlSQK/sySvnxcB4ZxdZbbU6a4LHRYapGSmnzXJ00ru5jneH+9b5sLuvq6RArDll0yY40621tVQ9rH5oQhHiaCPE0cXH4mQVtKi06KVX1tmmFlVzSqxMRLhXnOZKiNB/H7KOi1Ol0UQXf7LNO5vrr4CBcnRp+CWX1hK5RVyEMqi1IQ0zp7QtYu0IkJBVgEPD3kZ0ZpGr0lHZici9fXI0aJ/LK2ZpSdOEdWsGR7DIKK3TcTVqjln9WWo6TQaObrwtjIrz5y8BARkQGtHg/WkWpppLYNubD7RlUWCT9g924rGvDl3eVycch8QAYDIiRV7ZAhO3bxWGeBLhZb2BoAh4Y0YlhDZxUpyiOzMPZwMRePgB8tTfbIRab2FbdWivE3aHqdBVFsS+VxLYhO9KK+T25CE3AnEZM5oKzRmEvuhTh45i9IB2ZQRPcODAQT2cD914SymVdHadmUFGay9Q+fpgMgsPZZew5XXLhHVqYaq2lKEptVE1sG1Fpkfxn62kAJvf2bVSrEllSjPz9F8C6QpfSOGMjvRkbWfuCB4rSHvi4Ghnf3ZsfD+fx1b5su07QySs1czTH2lprsJrUpSjKWdRIbBvx/aEcUgoq8HYxcMOAxq1tLn9bAxXl0KkL9Ixq5ggVRWlPpvf1xyBgd3rJOas8tabqZUq7+znj66rGXRRFOUMlsW1AdkklX+6xTua6dVBgo9ZollKeKSUYM0kV3iuKcl5BHk6Mrlpi+euqyaT2UF0POzhUjcIqilKTSmLbgCU7Mikz6/QOcOHyxt7GPrgb0lPA2RVx6ZhmjU9RlPbpz1F+CGDzqSKScsta/fwWXbKzaiR2SGdVD6soSk0qiXVw+06XkJBUgADmDA1pdM9GvXoU9tLLES6qn6miKBcW5uVMTBdrF5Rv9uW0+vkPZ5VSVKHjYdLopRYSURTlD1QS68AsuuS9qslcV/bwoYd/45YzlTlZsHMTYC0lUBRFqa+ZUf4ArD9ZQFph6zaxr+5KcFGoaq2lKMq5VBLrwH46ksuJvHI8TRo3DQps9HHkulWg69CrP6Jzl2aMUFGU9i7Sz4UhndzRJXy7v3VrY231sKorgaIotVBJrIPKKzOzdFcWADcODMTLuXEra0lzJXJdHKBGYRVFaZxrqkZj1xzLJ6ukslXOmVtq5lhuOQCD1Yp4iqLUQiWxDuqTnZkUV+pE+jpzZQ+fRh9H7vgd8nPB2xdx0SXNF6CiKB1G3yA3ooJcMevw3YHWqY3dXjUK28PPBR/VWktRlFqoJNYBHc4qJf5oPgBzhgU3qRbM1lZr5ASEUf0hUBSlcaprY+OO5JFfZm7x81XXww5Wq3QpilIHlcQ6GF1K3ttincx1eYQXfQMb30lAppyAw/tA0xCjJjRXiIqidEAXhbrT3c+Fcovk+4O5LXqus1trDe2s6mEVRamdSmIdTPzRfBJzynA1atx6UVCTjlU9CsugSxC+/s0QnaIoHZUQwlYb++PhXIorLC12roNZpRRX6ng6G+jh17iuLIqitH8qiXUgheUWPt6ZCcAN0QFNWmJRlpYgf/sFAO1yNaFLUZSmuzjcgzAvE8WVOj8dyWux82xXrbUURakHlcQ6kKW7MykstxDubWJyb98mHUv+vhbKSyEkDHoPaKYIFUXpyDQhbLWxKw7kUG7WW+Q81a21hqh6WEVRzqNRQ32rVq1ixYoV5OXlERYWxqxZs+jbt2+d269cuZJVq1aRkZFBQEAAM2bMYPTo0bbn4+PjSUhIIDk5GYDIyEhuuOEGevToUevxli1bxueff86kSZOYNWtWY74Eh3Msp4yVVSMbc4YGY2zKZC4pkWurJnSNmYRo5CpfiqIofzSymxdLd2eRUVzJ6qN5TOnt16zHzy6p5HhuOQLrSKyiKEpdGjwSu3HjRpYsWcKMGTN46aWX6Nu3L88//zxZWVm1bh8XF8fnn3/ONddcw8KFC7n22mv54IMP2Lp1q22b/fv3M2LECJ588kkWLFiAv78/CxYsICfn3FYuiYmJxMfH07Vr14aG7rCklPxn62l0CSO6eBId0sQX7sP7IC0ZnF0Ql17ePEEqiqIARk0wo581cV22P4dKi2zW4++omtDVw98FbxfVUUVRlLo1OImNjY1l7NixjBs3zjYKGxAQQFxcXK3bJyQkMH78eGJiYggODmbEiBGMHTuW5cuX27a59957mTBhAt26daNz587ceeedSCnZs2dPjWOVlZXx5ptvMnfuXNzd28879F+TCtifWYqzQfDXwU2bzAUg1/4AgLh4DMKt/XyfFEVxDOO6e+PrYiCrxMyvSfnNeuytKdYkVpUSKIpyIQ16m2s2mzl27BjTpk2r8Xh0dDSHDh2qdZ/KykqcnJxqPGYymUhMTMRsNmOspXdpeXk5ZrMZD4+arVUW/397dx5cVZ3mf/x9bvaQkH1hSSAJhD1IQFBwDLI0KIwIRqrb4cfg0uoEhume6XJUBIGhZXAserqocdqZRrFUFiXEpGMbYkQHiAsNLgGhwRhoIiGdhKwQQnJzz++PdK5zJ0GSEHIXPq8qqnLP/Z5znnOfuvDwzXf57W+ZMGECKSkp7Nmz55rxtrS00NLy/e4yhmEQEBBg/9kVNDa3su3zCgAWj4skOsj3uq5n1l7A/PJToG1Cl6s8543S/nye/pw3G+XVtfl5e3Hf6Ahe/byCzK+rmZEY2uUJWD+UW6vN5Kvy9qW1gpV/N6PvrWdy5bx2q4itr6/HZrMREhLicDwkJITa2tpOzxk/fjz79u1j8uTJJCQkUFJSwocffkhraysNDQ2EhXWcwPTmm28SHh7OuHHfT0gqLCzk9OnTbNy4scvxZmVlsXv3bvvrhIQENm3aRFRUVJevcaP9+qNiappaiQsN4Im7xuDrfX1z7er25VDf2orvmFuImTy1l6J0fbGxsc4OQW4A5dV1LYuIIvN4NWUNzZxo8GL2yJhund9Zbj8vraGxxUZogA9/NTYBiwv+oynXpu+tZ3LFvPZowFFn1fjVKvT09HRqa2tZtWoVpmkSEhJCWloaOTk5WCwdC7bs7GwKCwtZu3Ytvr5tvZJVVVVs27aNVatW2Y91xcKFC5k/f36HGCsrK7Fab/yOM9dSWneFHYfPAvDQhEguVP75uq5nXmmiNWcnANY7fsT58+evO0ZXZxgGsbGxlJeXY5q9OzZPnEd5dQ/zkkPZUVTFfx8sZkz/1i711PxQbvOPtv1WanxMAH8uL78hMcuNo++tZ3JGXr29vbvU4ditIrZ///5YLJYOva51dXUdemfb+fr6kpGRwWOPPUZdXR1hYWEUFBQQEBBAcHCwQ9ucnByysrJYvXq1w8StkpIS6urqeOqpp+zHbDYbJ06cIC8vj+3bt3daEPv4+HQYytDO2V8w0zT5rz+U02rCrYOCmDiw33XHZNufBxcbIHoApN7u9GfsS6Zp3lTPe7NQXl3bvOQwso5Xc7rmCofPXezW7lqd5fbIue+X1lLe3Ze+t57JFfParSLW29ubxMREioqKmDx5sv14UVERt9566zXPjYhoW1+wsLCQ1NRUh8IzJyeHzMxMVq1aRVJSksO548aN48UXX3Q49p//+Z8MHDiQBQsWdFrAurpPShv4qrwRH4vBIxN7YTKXtQUzv22ynDFnEYbF67qvKSLyQ4L9vLh7eChZJ6p569gFJg7s1+Nxc1WNLZyp1dJaItJ13R5OMH/+fLZs2UJiYiLJyckUFBRQVVXF7NmzAdi+fTvV1dWsWLECgLKyMoqLixk+fDiXLl0iNzeX0tJSli9fbr9mdnY2u3btYuXKlURHR9t7ev39/fH39ycgIID4+HiHOPz8/AgODu5w3B1csdrYeqTt12YLR4czIPj6JnMBmJ9+BDVVEBqOcfuM676eiEhX3DsqnNyTNZysusyxikbGxfSsAG3fpSs50p/+WlpLRLqg239TTJ06lYaGBjIzM6mpqSEuLo6nn37aPnahpqbGYc1Ym81Gbm4uZWVleHl5MWbMGDZs2EB09Pe9j/n5+VitVjZv3uxwr/T0dBYvXtzTZ3NZu7++QFWjlahAb/vuN9fDtLVi5rWt1mDMXoBxlSEUIiK9LTzAm1lJIbz3TS27j124jiK2bShB6sCuD0kQkZubYbraAIc+UFlZ6bD0Vl8639DMitzTWG0mT/3VIG6PD772SddgHinE9ptNEBiEZdNvMfwDeyFS92AYBgMGDOD8+fMuN1ZHek55dS9/vtjMEzkl2Ex4ce4QhkcEXLVtZ7ltaTX5f7u/4bLVds3zxXXpe+uZnJFXHx+fLk3scr/BpG5u65EKrDaTW2IDuS3u+nscTNPE9vu2ZcSMGfNvqgJWRFxDTJAvaUP7A/D2sQvdPv+PVY1cttoI8fMiKdy/t8MTEQ+lIrYPHT53kT+cu4iXAT+dFNM7Cwcf/xLOfgu+fhgz51+zuYjIjXD/mAgM4LPvLnK29kq3zj3yl126Jgzsp7VhRaTLVMT2keZWG/99uG0d2HtHhjM4xK9Xrmt77y+9sHfOwQjq3yvXFBHprrgQP26Laxsetfvr7vXGtk/qmqjxsCLSDSpi+0j2iWrKL7YQFuDN4nHXP5kLwPz2j3DyKHh5Y8y+r1euKSLSU+0TVQ/8qZ7yhuYunVN5qYU/1V3BYmhpLRHpHhWxfaDyUgtv/WWc2LIJUQT69M4arvZe2NumY4RH9so1RUR6aliEP6kD+mEzYc/x6i6dY19aKyKAYD+tby0iXacitg+8+nkFza0mo6MC7JMfrpd57k/w1SEwDIy5i3rlmiIi1yt9bFtv7AcldVxovPYqMEfKvt+lS0SkO1TE3mBflV+i8GwDFgMeu7WXJnMBZl5m2w+pt2PEDu6Va4qIXK8x0YGMjgrAajPJPvHDvbEtrSZflTcCWh9WRLpPRewNZLWZ/Ncf2iZz3T08lISw3lk6xqwsxzy0HwDL3Q/0yjVFRHrLA3/pjc37ppb6K61XbXeispEmq41Qfy8Sw3tnsquI3DxUxN5A756s4bv6Zvr7efFgyrUX7e0qM/8dsNlg9ASMIUm9dl0Rkd4wYUA/EsP8uNJq8rs/Xr039shfxsOmamktEekBFbE3SM1lKzuK2rbfXXpLFEG9NGHBrK/BLCwAwHJPeq9cU0SkNxmGYR8b++6pGhpbOu+N/X48rIYSiEj3qYi9QQ6fu8hlq43hEf7MTArpteuaBTnQ0gyJIyB5bK9dV0SkN90eF8zg/r5caraRd6q2w/sVF1sorWvGYsAtsZrUJSLd5+3sADzV7GGhxIX44etl9NqvyczGS5gfvQeA5e70XpskJiLS2yyGwf1jIvj1J+fJ/mM180aE4ef9fb9Jey/siMiAXvtNlYjcXNQTewONjAogsRf3ATc/+j1cboSB8ZBya69dV0TkRrhzaH+i+3lT29RKwbd1Du9paS0RuV4qYt2EeeVK21ACwLj7fgyLUicirs3bYrBwdNvY2KzjF7DaTACarTaKyrXVrIhcH1VCbsIsfB8a6iAiGuPWO50djohIl8xMDCHU34vKRiv/c7qtN/aL72ppspqEBXiTEKaltUSkZ1TEugHTasXcmwWAMWcRhpfGj4mIe/DztrBgVDgAmcerabWZfHy6bRvu1AH9NLZfRHpMRawbMA/th+pKCA7BmDbT2eGIiHTL3OGh9PO1cK6+mU9LG/i4pK2I1XhYEbkeKmJdnGmz2beYNWYvwPDVr95ExL0E+ngxf0QYAK9+XsGZ6kYsBowfoCJWRHpORayr++oQnC+FgECMtLudHY2ISI/MHxGOv7dBxaUWoG31liBfDY0SkZ5TEevCTNPE9t5uAIzp92AEqtdCRNxTfz8v5g4Ps7+epFUJROQ6qYh1ZX8sgtOnwMcXY9a9zo5GROS63DsyDB9L20SuSYNUxIrI9dGOXS7M3gt7xyyM/qHODUZE5DpFBPqw5q44jIAghoaamKbp7JBExI2pJ9ZFmWe+gRNfgcWC8aOFzg5HRKRXjB/QjzmjYp0dhoh4gB71xO7du5ecnBxqa2sZPHgwy5YtY9SoUVdtn5eXx969e6moqCAyMpJFixaRlpZmf7+goID9+/dTWloKQGJiIj/5yU8YNmyYvU1WVhaHDh3i3Llz+Pr6kpyczJIlSxg4cGBPHsHl2XthJ6dhRMY4ORoRERER19LtIvbjjz9m27ZtPProo4wYMYKCggKef/55fvWrXxEZGdmhfX5+Pjt27ODxxx8nKSmJ4uJiXn75Zfr168ekSZMAOH78ONOmTWPEiBH4+PiQnZ3Nhg0b2Lx5M+Hh4fY2c+bMISkpidbWVnbu3Glv4+/vf50fg2sxz38HX3wKgDH3fidHIyIiIuJ6uj2cIDc3lxkzZjBz5kx7L2xkZCT5+fmdtt+/fz+zZs1i6tSpxMTEMG3aNGbMmEF2dra9zcqVK5kzZw5Dhw5l0KBBPPHEE5imydGjR+1tVq1axfTp04mLi2Po0KFkZGRQVVVFSUlJDx7btZl5mWCaMH4yxqB4Z4cjIiIi4nK61RNrtVopKSnhvvvucziekpLCyZMnOz2npaUFHx8fh2O+vr4UFxdjtVrx9u4YwpUrV7BarQQFXX32amNjI8APtmlpaaGlpcX+2jAMAgIC7D+7IvNCBeZnHwHgdc8DLhunq2j/fPQ5eRbl1XMpt55LufVMrpzXbhWx9fX12Gw2QkJCHI6HhIRQW1vb6Tnjx49n3759TJ48mYSEBEpKSvjwww9pbW2loaGBsLCwDue8+eabhIeHM27cuE6vaZomr732GiNHjiQ+/uo9lVlZWezevdv+OiEhgU2bNhEVFdWFp3WOmpw3udjait+4iUTfcZezw3EbsbGaKOKJlFfPpdx6LuXWM7liXns0sauzavxqFXp6ejq1tbWsWrUK0zQJCQkhLS2NnJwcLJaOoxmys7MpLCxk7dq1+Pr6dnrNrVu3cvbsWdavX/+DcS5cuJD58+d3iLGyshKr1fqD5zqD2VBHa94eAFpm3cv58+edHJHrMwyD2NhYysvLtVyPB1FePZdy67mUW8/kjLx6e3t3qcOxW0Vs//79sVgsHXpd6+rqOvTOtvP19SUjI4PHHnuMuro6wsLCKCgoICAggODgYIe2OTk5ZGVlsXr1aoYMGdLp9V555RWOHDnCunXriIiI+MF4fXx8OgxlaOeKXzBbQQ40N0N8Eoy6xSVjdFWmqTUnPZHy6rmUW8+l3HomV8xrtyZ2eXt7k5iYSFFRkcPxoqIiRowYcc1zIyIisFgsFBYWkpqa6tATm5OTQ2ZmJs888wxJSUkdzjdNk61bt/LZZ5+xZs0aoqOjuxO6yzMvN2J++C4AlnvSXXLsiYiIiIir6PZwgvnz57NlyxYSExNJTk6moKCAqqoqZs+eDcD27duprq5mxYoVAJSVlVFcXMzw4cO5dOkSubm5lJaWsnz5cvs1s7Oz2bVrFytXriQ6Otre0+vv729fPmvr1q0cPHiQJ598koCAAHubwMDAqw47cCfm/jxovAQxg2DCbc4OR0RERMSldbuInTp1Kg0NDWRmZlJTU0NcXBxPP/20fexCTU0NVVVV9vY2m43c3FzKysrw8vJizJgxbNiwwaEnNT8/H6vVyubNmx3ulZ6ezuLFi+1tANauXevQJiMjg+nTp3f3MVyK2dKM+X7bkmPG3EUYFi8nRyQiIiLi2gzT1QY49IHKykqHpbeczfY/eZhvvARhkViefxnDu/NxvNKRYRgMGDCA8+fPu9xYHek55dVzKbeeS7n1TM7Iq4+PT5cmdnV7swPpXWZrK+bethUJjB8tUAErIiIi0gUqYp3MPHwQKsshKBjjr+Y4OxwRERERt6Ai1olM02zbYhYwZvw1hp+/kyMSERERcQ8qYp3p6GH47gz4BWDMmOfsaERERETchopYJ7K917YlrpE2B6Nf8DVai4iIiEg7FbFOYp76GopPgLc3xuwFzg5HRERExK2oiHUSey/s7TMwQn94+1wRERERcaQi1gnMsyVw7AgYFoy5i5wdjoiIiIjbURHrBPYVCSZNw4ge6ORoRERERNyPitg+ZlaUYR4uBMCYe7+ToxERERFxTypi+5iZtwdMG4ydiBGf6OxwRERERNySitg+ZNZewPxkHwCWu9OdHI2IiIiI+1IR24fM97PBaoVhozCSxzg7HBERERG3pSK2j5iXGjD/Jw9QL6yIiIjI9VIR20fMfe/ClSYYPBTGTXJ2OCIiIiJuTUVsHzCvNGHu+x3QtiKBYRhOjkhERETEvamI7QPmgb1wsQGiYjEm3eHscERERETcnorYG8y0tmDmZwNgzFmE4eXl5IhERERE3J+K2BvM/PQjqKmCkDCMqTOcHY6IiIiIR1ARewOZtta2zQ0AY/YCDB9fJ0ckIiIi4hlUxN5IX3wKfz4Hgf0w0uY6OxoRERERj6Ei9gYxTRPb73cDYNw1D8M/0MkRiYiIiHgOFbE3yvEv4ey34OuLMfOvnR2NiIiIiEfxdnYAHiuwH4wYhzF4KEZwiLOjEREREfEoPSpi9+7dS05ODrW1tQwePJhly5YxatSoq7bPy8tj7969VFRUEBkZyaJFi0hLS7O/X1BQwP79+yktLQUgMTGRn/zkJwwbNuy67utMRkIyXr/4JWZrq7NDEREREfE43R5O8PHHH7Nt2zYWLVrEpk2bGDVqFM8//zxVVVWdts/Pz2fHjh088MADbN68mcWLF7N161YOHz5sb3P8+HGmTZvGc889x4YNG4iIiGDDhg1UV1f3+L6uQuvCioiIiPS+bhexubm5zJgxg5kzZ9p7QyMjI8nPz++0/f79+5k1axZTp04lJiaGadOmMWPGDLKzs+1tVq5cyZw5cxg6dCiDBg3iiSeewDRNjh492uP7ioiIiIjn6tZwAqvVSklJCffdd5/D8ZSUFE6ePNnpOS0tLfj4+Dgc8/X1pbi4GKvVird3xxCuXLmC1WolKCiox/dtv3dLS4v9tWEYBAQE2H8W99eeR+XTsyivnku59VzKrWdy5bx2q4itr6/HZrMREuI4USkkJITa2tpOzxk/fjz79u1j8uTJJCQkUFJSwocffkhraysNDQ2EhYV1OOfNN98kPDyccePG9fi+AFlZWezevdv+OiEhgU2bNhEVFdXFJxZ3ERsb6+wQ5AZQXj2Xcuu5lFvP5Ip57dHErs6q8atV6Onp6dTW1rJq1SpM0yQkJIS0tDRycnKwWDqOZsjOzqawsJC1a9fi6+u4w1V37guwcOFC5s+f36FtZWUlVqv1queJ+zAMg9jYWMrLyzFN09nhSC9RXj2Xcuu5lFvP5Iy8ent7d6nDsVtFbP/+/bFYLB16P+vq6jr0krbz9fUlIyODxx57jLq6OsLCwigoKCAgIIDg4GCHtjk5OWRlZbF69WqGDBlyXfcF8PHx6TCUoZ2+YJ7FNE3l1AMpr55LufVcyq1ncsW8dmtil7e3N4mJiRQVFTkcLyoqYsSIEdc8NyIiAovFQmFhIampqQ49sTk5OWRmZvLMM8+QlJTUa/cVEREREc/T7eEE8+fPZ8uWLSQmJpKcnExBQQFVVVXMnj0bgO3bt1NdXc2KFSsAKCsro7i4mOHDh3Pp0iVyc3MpLS1l+fLl9mtmZ2eza9cuVq5cSXR0tL3H1d/fH39//y7dV0RERERuHt0uYqdOnUpDQwOZmZnU1NQQFxfH008/bR+7UFNT47B2q81mIzc3l7KyMry8vBgzZgwbNmwgOjra3iY/Px+r1crmzZsd7pWens7ixYu7dF8RERERuXkYpqsNcOgDlZWVDktvifsyDIMBAwZw/vx5lxurIz2nvHou5dZzKbeeyRl59fHx6VInZbc3OxARERERcbYeLbHl7jrbYEHcm3LqmZRXz6Xcei7l1jP1ZV67eq+bcjiBiIiIiLg3DScQt3b58mX++Z//mcuXLzs7FOlFyqvnUm49l3LrmVw5rypixa2Zpsnp06c1icDDKK+eS7n1XMqtZ3LlvKqIFRERERG3oyJWRERERNyOilhxaz4+PqSnp+Pj4+PsUKQXKa+eS7n1XMqtZ3LlvGp1AhERERFxO+qJFRERERG3oyJWRERERNyOilgRERERcTsqYkVERETE7WiDY3F5WVlZHDp0iHPnzuHr60tycjJLlixh4MCB9jamafL222/zwQcfcPHiRYYPH84jjzxCXFycEyOX7sjKymLHjh3cc889LFu2DFBe3Vl1dTVvvPEGX375Jc3NzQwYMIC/+7u/IzExEVBu3VVraytvv/02Bw4coLa2lrCwMKZPn86iRYuwWNr6xZRb93D8+HFycnI4ffo0NTU1/OIXv2Dy5Mn297uSx5aWFl5//XUKCwtpbm5m7NixPProo0RERPTJM6gnVlze8ePHmTNnDr/85S959tlnsdlsbNiwgaamJnub7Oxs3n33XR5++GE2btxIaGgoGzZscMlt8qSj4uJiCgoKGDJkiMNx5dU9Xbx4kdWrV+Pt7c0zzzzD5s2bWbp0KYGBgfY2yq17ys7O5v333+eRRx7hV7/6FUuWLCEnJ4e8vDyHNsqt67ty5QpDhw7l4Ycf7vT9ruRx27ZtHDp0iH/4h39g/fr1NDU18a//+q/YbLY+eQYVseLyVq1axfTp04mLi2Po0KFkZGRQVVVFSUkJ0Pa/xd///vcsXLiQKVOmEB8fz/Lly7ly5QoHDx50cvRyLU1NTWzZsoXHH3+cfv362Y8rr+4rOzubiIgIMjIyGDZsGNHR0YwbN47Y2FhAuXVnp06dYtKkSaSmphIdHc1tt91GSkoK3377LaDcupMJEybw4x//mClTpnR4ryt5bGxsZN++fSxdupSUlBQSEhL4+7//e86ePUtRUVGfPIOKWHE7jY2NAAQFBQFQUVFBbW0t48ePt7fx8fFh9OjRnDx50ikxStf99re/ZcKECaSkpDgcV17d1+HDh0lMTGTz5s08+uijPPnkkxQUFNjfV27d18iRIzl27BhlZWUAnDlzhpMnTzJhwgRAufUUXcljSUkJra2tDn93h4eHEx8fz6lTp/okTo2JFbdimiavvfYaI0eOJD4+HoDa2loAQkJCHNqGhIRQVVXV1yFKNxQWFnL69Gk2btzY4T3l1X1VVFTw/vvvM2/ePBYuXEhxcTGvvvoqPj4+pKWlKbdubMGCBTQ2NvLzn/8ci8WCzWbjxz/+MXfccQeg762n6Eoea2tr8fb2tnco/e827effaCpixa1s3bqVs2fPsn79+g7vGYbh8Fqb0bm2qqoqtm3bxqpVq/D19b1qO+XV/dhsNpKSknjwwQcBSEhIoLS0lPz8fNLS0uztlFv38/HHH3PgwAFWrlxJXFwcZ86cYdu2bfYJXu2UW8/Qkzz2Za5VxIrbeOWVVzhy5Ajr1q1zmPkYGhoKYJ8p266+vr7D/yLFdZSUlFBXV8dTTz1lP2az2Thx4gR5eXn8+7//O6C8uqOwsDAGDx7scGzw4MF89tlngL6z7uyNN95gwYIFTJs2DYD4+HgqKyt55513mD59unLrIbqSx9DQUKxWKxcvXnToja2vr2fEiBF9EqfGxIrLM02TrVu38tlnn7FmzRqio6Md3o+OjiY0NNRhILnVauX48eN99kWS7hs3bhwvvvgiL7zwgv1PUlISd9xxBy+88AIxMTHKq5saMWKEfcxku7KyMqKiogB9Z93ZlStX7EtptbNYLPbeN+XWM3Qlj4mJiXh5eTm0qamp4ezZsyQnJ/dJnOqJFZe3detWDh48yJNPPklAQIB9rE1gYCC+vr4YhsE999xDVlYWAwYMIDY2lqysLPz8/OzjtMT1BAQE2Mc1t/Pz8yM4ONh+XHl1T/PmzWP16tXs2bOHqVOnUlxczAcffMBjjz0GoO+sG5s4cSJ79uwhMjKSwYMHc+bMGXJzc7nrrrsA5dadNDU1UV5ebn9dUVHBmTNnCAoKIjIy8pp5DAwMZMaMGbz++usEBwcTFBTE66+/Tnx8fIeJujeKYWqgiri4xYsXd3o8IyPDPgarfVHmgoICLl26xLBhw3jkkUc6FEni2tauXcvQoUM7bHagvLqfI0eOsH37dsrLy4mOjmbevHnMmjXL/r5y654uX77Mrl27OHToEHV1dYSHhzNt2jTS09Px9m7rF1Nu3cPXX3/NunXrOhxPS0tj+fLlXcpjc3Mzb7zxBgcPHnTY7CAyMrJPnkFFrIiIiIi4HY2JFRERERG3oyJWRERERNyOilgRERERcTsqYkVERETE7aiIFRERERG3oyJWRERERNyOilgRERERcTvasUtEPM5HH33ESy+9dNX3n3vuOcaMGdOHETmqqKhgxYoVLFmyhHvvvddpcfQmT3wmEXFtKmJFxGNlZGQwcODADscHDx7shGhERKQ3qYgVEY8VFxdHUlKSs8OQXmS1WjEMAy8vL2eHIiJOpiJWRG5qixcvZs6cOcTHx5Obm0tlZSUxMTGkp6czbdo0h7Znz55l586dnDhxgubmZgYOHMi8efOYPn26Q7tLly6RmZnJoUOHqK6uJjAwkKSkJJYuXcqgQYMc2ubm5vLee+9RX19PfHw8f/u3f0tycvIPxtw+XGLNmjV88sknfPrpp5imyejRo3n44YcJDw93eL709HQWL17scI3ly5czevRoli9f3uGaBw8e5NChQ7S2tnLrrbfy6KOP0tTUxCuvvEJRURG+vr7ccccdPPjgg3h7O/4zYpome/bs4f3336e+vp64uDj+5m/+hnHjxjm0O3/+PG+99RZHjx6lsbGRmJgY5syZw9y5c+1t2vd2X7FiBWfOnKGwsJDa2lo2b97c4XMUkZuPilgR8Vg2m43W1laHY4ZhYLE4zmk9fPgwX3/9NYsXL8bPz4/8/Hx+/etf4+XlxW233QZAWVkZq1evpn///jz00EMEBQVx4MABXnrpJerq6liwYAEAly9fZs2aNVRUVLBgwQKGDx9OU1MTJ06coKamxqH42rt3L4MGDWLZsmUA7Nq1i40bN/If//EfBAYGXvP5Xn75ZSZMmMDKlSu5cOECr7/+Olu2bOG5557r8Wf2m9/8hsmTJ/Ozn/2M06dPs2PHDlpbWykrK2PKlCnMmjWLo0ePkp2dTXh4OPPnz3c4Py8vj6ioKJYtW4ZpmmRnZ/P888+zbt06e3H+3Xff8eyzzxIZGcnSpUsJDQ3lyy+/5NVXX6WhoYEHHnjA4Zrbt28nOTmZn/70p1gsFkJCQnr8fCLiOVTEiojHWrVqVYdjFouFnTt3OhxraGhg48aNhIaGApCamso//dM/sX37dnsR+9Zbb2G1WnnuueeIjIy0t2tsbGT37t3Mnj2bwMBA3n33XUpLS3n22WdJSUmx32PKlCkdYgkICOCpp56yF9VhYWE888wzfPHFFx16gTszfvx4Hn74Yfvrixcv8sYbb1BbW2t/lu5KTU1l6dKlAKSkpHDq1CkKCwtZunSpvWBNSUnhq6++4sCBAx2KWJvNxrPPPouvr689xuXLl7Nr1y5Wr14NwGuvvUZAQADr16+3F+spKSlYrVbeeecd7r77boKCguzXjImJ4R//8R979Dwi4rlUxIqIx1qxYkWHXzsbhtGh3dixYx2KPovFwu23387u3bu5cOECERERfP3114wdO9ZewLZLS0vjiy++4NSpU9xyyy18+eWXDBgwwKGAvZrU1FSHXuEhQ4YAUFlZ2aXnmzRpksPr+Ph4+/k9LWInTpzo8HrQoEH84Q9/IDU1tcPxoqKiDudPmTLFXsBCW6E+ceJECgsLsdlsWK1Wjh07xuzZs/Hz83PoKZ8wYQJ5eXl88803TJgwweGaIiL/l4pYEfFYgwYN6tLErs4KvvZjDQ0NRERE0NDQQFhYWId27eNPGxoaAKivr+9Q6F7N/+5tBPDx8QGgubm5S+cHBwdf1/ldial9zGtnxzu7z9U+S6vVSlNTE01NTbS2tpKXl0deXl6nMbR/lu06+9xFRFTEishNr7a29qrH2gvF4OBgampqOrSrrq52aNe/f38uXLhwYwLtAR8fH6xWa4fj/7dQ7C1X+yy9vb3x9/fHy8sLi8XCnXfeyZw5czq9RnR0tMPrznrPRUS0Y5eI3PSOHTvmUHzZbDY++eQTYmJiiIiIANqGHBw7dsxetLbbv38/fn5+9klLt9xyC+fPn+fYsWN9Fv8PiYqK4k9/+pPDsWPHjtHU1HRD7vfZZ5859NBevnyZI0eOMGrUKCwWC35+fowZM4bTp08zZMgQkpKSOvz5vz3MIiKdUU+siHis0tLSDqsTAMTGxtK/f3/76+DgYNavX8/9999vX53g3Llz/OxnP7O3eeCBB/j8889Zt24d6enp9tUJPv/8c5YsWWKfoDRv3jw++eQTXnjhBe677z6GDRtGc3Mzx48fJzU1lbFjx97w5/7f7rzzTnbt2sWuXbsYPXo03333HXl5eV1a/aAnLBYLGzZsYP78+dhsNrKzs7l8+bLDigMPPfQQq1evZs2aNfzoRz8iKiqKy5cvU15ezpEjR65rdQURuXmoiBURj3W1rWcff/xxZs6caX89adIk4uLi2LlzJ1VVVcTGxrJy5UqmTp1qbzNw4ED+5V/+hR07drB161aam5sZNGgQGRkZDuvEts+6f/vttykoKODtt98mKCiIpKQkZs2adcOe9WruvfdeGhsb+eijj/jd737HsGHD+PnPf86//du/3ZD7zZ07l5aWFl599VXq6uqIi4vjqaeeYuTIkfY2gwcPZtOmTWRmZrJz507q6uro168fAwYMcJjQJSLyQwzTNE1nByEi4iztmx088sgjzg5FRES6QWNiRURERMTtqIgVEREREbej4QQiIiIi4nbUEysiIiIibkdFrIiIiIi4HRWxIiIiIuJ2VMSKiIiIiNtRESsiIiIibkdFrIiIiIi4HRWxIiIiIuJ2VMSKiIiIiNtRESsiIiIibuf/A65Rw+Kp4EppAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "init_scale = 0.1 # scale for random parameter initialisation\n", + "learning_rate = 0.5 # learning rate for gradient descent\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "\n", + "# Reset random number generator and data provider states on each run\n", + "# to ensure reproducibility of results\n", + "rng.seed(seed)\n", + "train_data.reset()\n", + "valid_data.reset()\n", + "\n", + "# Alter data-provider batch size\n", + "train_data.batch_size = batch_size \n", + "valid_data.batch_size = batch_size\n", + "\n", + "# Create a parameter initialiser which will sample random uniform values\n", + "# from [-init_scale, init_scale]\n", + "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + "# Create affine + softmax model\n", + "model = MultipleLayerModel([\n", + " AffineLayer(input_dim, output_dim, param_init, param_init),\n", + " SoftmaxLayer()\n", + "])\n", + "\n", + "# Initialise a cross entropy error object\n", + "error = CrossEntropyError()\n", + "\n", + "# Use a basic gradient descent learning rule\n", + "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + "_ = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "|`learning_rate`| Final `error(train)` | Final `error(valid)` |\n", + "|---------------|----------------------|----------------------|\n", + "| 0.05 | $2.53\\times 10^{-1}$ | $2.59\\times 10^{-1}$|\n", + "| 0.1 | $2.43\\times 10^{-1}$ | $2.59\\times 10^{-1}$|\n", + "| 0.2 | $2.35\\times 10^{-1}$ | $2.63\\times 10^{-1}$|\n", + "| 0.5 | $2.31\\times 10^{-1}$ | $2.77\\times 10^{-1}$|\n", + "\n", + "\n", + "Increasing the learning rate, as would be expected, increase the speed of learning, with the final training error reached monotonically decreasing over the learning rates tested as the learning rate was increased. Note however the validation set error increases for larger learning rates - this suggests the model is overfitting to the data, with the larger learning rates causing the model to begin overfitting sooner - we could have afforded to halt learning earlier in these cases when there was no further improvement in the validation set error. Notice also the error curves for the largest learning rate value are much more noisy suggesting learning is becoming quite unstable with this large a step size, with a lot of the gradient descent steps overshooting and causing the error function value to increase.\n", + "" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -375,9 +1212,76 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 5: 0.4s to complete\n", + " error(train)=3.11e-01, acc(train)=9.13e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n", + "Epoch 10: 0.4s to complete\n", + " error(train)=2.89e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.23e-01\n", + "Epoch 15: 0.4s to complete\n", + " error(train)=2.79e-01, acc(train)=9.22e-01, error(valid)=2.70e-01, acc(valid)=9.24e-01\n", + "Epoch 20: 0.4s to complete\n", + " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 25: 0.4s to complete\n", + " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n", + "Epoch 30: 0.4s to complete\n", + " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n", + "Epoch 35: 0.4s to complete\n", + " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 40: 0.4s to complete\n", + " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n", + "Epoch 45: 0.4s to complete\n", + " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n", + "Epoch 50: 0.4s to complete\n", + " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 55: 0.4s to complete\n", + " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n", + "Epoch 60: 0.4s to complete\n", + " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n", + "Epoch 65: 0.4s to complete\n", + " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 70: 0.4s to complete\n", + " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.31e-01\n", + "Epoch 75: 0.4s to complete\n", + " error(train)=2.47e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 80: 0.4s to complete\n", + " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n", + "Epoch 85: 0.4s to complete\n", + " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n", + "Epoch 90: 0.4s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 95: 0.4s to complete\n", + " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n", + "Epoch 100: 0.4s to complete\n", + " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n" + ] + }, + { + "data": { + "image/png": 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", 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Hv3KUA9AboE8sWkz8mfCb4AjD3j6dfJVto5SCfbscAffYYcdGgxHt8h+j/WQOWmjrgmJ31+agO2HCBKqrq1m3bh0VFRXExMRw3333OZN1RUUFZWVlzvJ2u52srCyKiorQ6/WkpKSwfPlyl/lVGxsbefnllzl9+jQmk4k+ffpw1113uYy5zc7OBnD28J6VlpbGpEmT0Ol0FBQUsGXLFmprawkJCSElJYXFixc7Z1IQHcdgMHxvD31X+NWvftXVVRBCCNGBlFKwdwf2t1939NIChIajzbwRbVwqmk7f4n6a0QT9E9H6J547ls0G3xQ6enxP5DvCb0G+o2f47PNtZ8KvpkFkb0f47ZdwLgT7d/0ng8puh707sWe9ASfyHRtNJrQfXYV25Sy04O8f9ulp2jx0oSeQoQueR4YueB75eNtzSdt6rvZsW5WXi33tSjjT+4pfANrVP0e74mpHkG0HSiko+wYKHEHX0QOcD5XlLe8QGuYY73t27G9QqGO5XJut2b/KZgW7rcXXsJ59/q1t9vMc47vlKk5DSZGjPl7eaJOuQvvxLLTAlufKbw8eNXRBCCGEEKKrqKIT2N/+N+zd6dhgMqFN+anj43jf9h06p2kahEdBeBTaqHOfMquqCmcv79keYEpPQXkZlJehvn3TW1fw9kGbPANt6ky0gJ7diSNBVwghhBBuT5WXoTJXobZvAmV3TIl12TS0a37R6R/Ha4EhjrG/Qy45V7+6Wjh5zHXoQ30d6PVnvgwX+FeP9u1tuvPtpwdDC8c4U14zmiBpCJqfe9wv09Uk6AohhBA9jFIKlOoWU2mp2hrHVGGbssDS5Ng4ajy6Wb9Ei+7btZX7Fs3XzxEwk4Z0dVXEt0jQFUIIIXoI1VCP+vgD1IcZ0NQACYPQElPQElMcN2e50eqfqqkRtXk96r23zk0VlpiM7mfz0BIGdW3lRLchQVcIIYTwcKq+zhEaP3wHaqrPvfDlHtSXexzjSQ1GiE86F3wTBqJ5+3Z+Xe021KebURmroOLMLE59+qGbczMMHd1jVzMTF0eCrhBCCOGhVF2NYwGFnEyoq3FsjIhGu/patL79UXm5qCMH4PABqK6EwwdQhw84gq9O55hBIDEZLSkFBiR36PRZjnlfP3PcaFZ0wrExNOzMVGGTzjtVmBDfR4KuaBd5eXnMnTuXrVu3ttuCEU8//TQffPABH374IQCLFy+mqqqKV1999bz7zJ07l+TkZJYtWwbA1VdfzaJFi5g5c2a71EkIIboDVVOFysl0jGutr3NsjOqLNv1atEsvR9M7QqPWLwGmXOMImd8Uoo7kOsLukQNwugSOH0EdP+IY6gCOVcLOht7EFLTQsPapb95B7Oteg7xcxwZff7TpP0e7Ynq7TRUmeiYJuqJdPPXUU9xyyy0duirasmXL2jw/3+LFi1m2bBnXXHNNB9VKCCHch6quRH34DmrTe9BY79jYp58j4F4y4fwLKGiaIwhH9YXLf+w4Vnmpa/AtLoCiE6iiE/DR+45e37BIxzCHxGTHTVgR0W0aWqCKCxyLPXzxP8cGowlt6jVoP/lZu08VJnomCbriBysqKuLDDz/kkUce6dDzXMyCDlOmTOH3v/89mzdv5kc/+lEH1EoIIbqeqqxAZaejPnofmhodG2Pi0M24DkaMu6jZFbTQcLSxqTA21XGO6ko4kos6cma4w4l8KPsGVfYNfLrJEXyDQtAGJEPSmXG+ffq1eG5VcRp75irU1hzHVGGaDu2yqWjXXI8W0rNW7hIdS4LuD6CUotHWNVNCe+m1Nv3VvHnzZv7yl79w6NAhdDodl1xyCcuWLaN///6AI6w++uijbNmyhcbGRhITE3nssccYNWoU4FiC+ZlnnuHQoUP4+voybtw4Xn75ZQDeffddkpOT6d27N+BYZWzkyJG8/PLLXHHFFc46vPfee9x9993s3bsXPz8/HnvsMd5//32Ki4uJiIhg9uzZ/OY3v8F4nrt+vzt0oa6ujj/84Q+8//77+Pv7s2DBgmb76PV6Jk+ezNtvvy1BVwjhcVTFadSGt1FbNpybeqvfAHTX/AKGXdquN25pAUEwajzaqPGOc9fXwdGvUEfO9PgeOwyVFajd22D3Nkfw9fWDhMFoZ4NvZG/MG9Zhe2fVufqOGIduzi/RomPara5CnCVB9wdotCmuW3O4S8695rokvA2t/wVWV1fHHXfcwaBBg6irq+PPf/4z8+fPJzs7m/r6eubOnUtUVBT/+te/CA8PZ//+/djtdgBycnKYP38+d999N8899xxNTU1s3LjReewdO3YwbNgw5/PAwEBnuPx20E1PT+fKK6/Ez88PAD8/P5555hmioqI4ePAg9957L/7+/qSlpbXqmh599FG2b9/OK6+8Qnh4OE8++ST79u0jOTnZpdyIESP4+9//3ur3Sggh3J06XYr6YC1q64eO5WIBEgY5enBTRnXKzASajy8MGYU2xNEhoixNcOzIueCb95VjWrD9u1D7dzlXCnPO+TAgGd3PbkEbMLjD6yp6Lgm6PcT06dNdnj/99NMMGzaMw4cPs2vXLk6fPs369esJCXGshR0XF+cs+9xzzzFz5kzuuece57aUlBTn44KCAoYOHepy/Dlz5vDrX/+a+vp6fHx8qK6uZtOmTfzjH/9wllm8eLHzcUxMDEePHiUzM7NVQbe2tpY33niDZ5991tlT++yzzzJ69OhmZaOjozl58iR2ux1dN5gcXQghzkeVnnIsnrB9E9jOBNykFHQzfgGDhnXp1FuOFblSHDerAcpmc6wUdmYmB/IOQE01hth47D+9EYbJVGGi40nQ/QG89BprrkvqsnO3xfHjx/nTn/7Enj17KC8vd/bWFhYWcuDAAYYMGeIMud914MABbrzxxvMeu6GhAW9vb5dtU6ZMwWAwkJ2dzcyZM3nvvffw8/MjNTXVWSYrK4uXX36Z48ePU1tbi81ma/XNbMePH6epqckl2IaEhJCQkNCsrLe3N3a7ncbGRnx8fFp1fCGEcCfqmyLUe2+h/rcZzvz+ZvBwdNOvQxvonitxaXo99BuA1m8ATJuJstvRqiuJShrEqZKSNt9cLMTFkKD7A2ia1qbhA11p3rx59O7dmz/+8Y9ERUVht9uZPHkyFoulWUj9rgu9HhoaitlsdtlmMpmYPn066enpzJw5k/T0dH76059iMDi+5Xbv3k1aWhq/+93vmDRpEgEBAWRkZLj0+H6ftvyCrKiowNfXV0KuEKLbUcUFqPVvonZ+4rhpCyBlJLoZ1zlu+upGNJ0OLTjUObWZEJ1BPsftAcrLyzly5Ai//vWvufzyy0lMTKSystL5+uDBgzlw4AAVFRUt7j948GC2bt163uMPGTKEI0eONNs+e/ZsPvroIw4dOsT27duZPXu287XPPvuMvn378utf/5rhw4cTHx9PYWFhq68pLi4Oo9HI7t27ndvMZjP5+fnNyh46dKjZ0AohhHBn6uRx7C/9EfvDi1A7PnaE3GGXorv/z+gXP9LtQq4QXUV6dHuA4OBgQkJC+M9//kNERASFhYU88cQTztdnzZrF888/z2233cZ9991HREQEX375JZGRkYwePZrf/va3XHfddfTr14+ZM2ditVrZvHmzcyxtamoqv//977HZbOi/9Zf6+PHjCQsLY9GiRcTExHDJJZc4X4uLi6OwsJCMjAyGDx/Oxo0bef/991t9TX5+fvziF79g+fLlhISEEB4ezlNPPdXiGNydO3cyadKki3jnhBCic6kTR7GvfxP2fHpu48hxjiEK/ZoPzRJCfD8Juj2ATqfjxRdf5KGHHmLKlCnEx8fz6KOPMnfuXMAxzGD16tU88sgj/PKXv8RqtZKUlMRjjz0GwIQJE3jppZd49tlneeGFF/D392fcuHHO458dj/vJJ5+4BEpN05g1axZ/+9vf+M1vfuNSpyuvvJLbb7+dJUuW0NTUxJQpU1i8eDErVqxo9XU9+OCD1NbW8n//93/O6cWqq6tdyhQXF7Nr1y7+9re/tfVtE0L0IOpUoWMVMasFjCYwebX4pZnO/xomLzAYLuoGK3XsCPb1a2DvTscGTUO7ZKJjoYe+/dv3YoXoQTQlo8GbKS0txWKxNNteVVV1UYsW9AQrV64kOzubVatWdXVVXDz66KNUV1fzzDPPtNimZ0nbdj+aphEdHU1xcbHc1OJhOrNtldWC2pCOylrjCLk/lKadJwSbwHg2LHuB17ntquAYfLnnzP46xxK903+O1jv2h9fHzcjPrWfq7HY1Go2Eh4e3qqz06Ip2cdNNN1FZWUlNTU2HLgPcVmFhYdx5551dXQ0hhBtSR7/C/voLUPi1Y0PyCMcytk1NjtXFznyppkbH4gbf2nbu68z2s1N9KQWNDY6v8523pY06HdrYSWhX/xwtqk+7X6sQPZUEXdEuDAYDv/71r7u6Gs386le/6uoqCCHcjGqoQ739Ouqj9xzB1D8Q7br5aGNTL3peV2W1thCGWwjMLb1uMqFdNg0tPKqdr1QIIUFXCCFEj6G+2IF91UtQUQaANn4y2rW3ovn/sKFLmsEABgP4+J6/TEv1UQoFPWbhhEarncp6C9WNtk4dumDUa3gbZKKpnkiCrhBCCI+nzOXY3/gH7N7u2BAehe6mNLTkEZ1el3qLnX2natldVMuuohoqG6xMiAlkxqAQBoZ53nzfSikOlNTz7qFydp6swa4OdUk9grz19A4wER1goneA0fk4OsCEj1FCsKeSoCuEEMJjKbsdtTUbtfY1qK91jIX98Wy0Gb9A8/LqnDooRWFVE7uLatldVMOBknqsdtfezC1fV7Hl6yqSenlzzaBQJsQGYNB1717eJpudLceryDpUwbGKxq6uDpUNNiob6jlYWt/stRAfA70DjGdCsInobwVhL+kJ7tYk6LaR3W5vca5W0X2dXQ5ZCOFZVPFJ7K//FY7kOjb0T0R38yK0mLgOP3ej1c7+b+rYXVTD7qJavqlxndEhyt/IJX38uSTajwAvPe8fqWDL8WoOn27g6W1F/GuPgasSg7kyMZgg7+71X/XpOgvvHzazIc9MVaMNAJNe44q4IK4ZFMrogf06fdaFRpud4moLRVVNFFc3UVTdRFG1heLqJqoabVTUW6mot3KgpHkI7uVjIDrQ5BKEeweYiAowYtJLHnB33eunp4v5+vpSXV1NQECAhF0PYbfbqa6uxs/Pr6urIoRoJ8piQb2/FvX+W2C1gpc32qwb0SbPQNN13PKzp6rP9dru/6aOJtu5IGfQaQyJ8HGE297+9A4wuozLTQrz4ZYRVj7IM/PB4QrK6638d18Zb355mh/1D+SaQSHEhXz/cuxd7VBZPVlfVbDtRBVnLz3M18D0pBCmDQgmwEuPpmnodY6vzpxdzFenJyFUT0Jo8/ewpsnmCL9VTY4wfCYIF1c3UdNk53S9ldP1Vr78xnU/Dcf1OUKwa09wpL8Jo75798h7iouaR3fDhg1kZmZiNpvp27cv8+bNY/Dgwect/8EHH7BhwwZKSkoICwtjzpw5pKamOl/fsWMH6enpnDp1CpvNRlRUFNdccw0/+tGP2nRepRRvvfUWGzdupKamhsTERG677TZiYmLadH3nm0cXwGq1UldX16bjia5nMploampq8TVfX18MBvmbr7uR+Tg91w9pW5WXi/3fL0BxgWPD0NHobrwTrVdEu9fTYrNzoKTe2WtbWOX6OybM18DoPv5c0tuPoZF+rR4HarEptp1wfOR/5PS5acqGRPgwY1AoY/r4o3eTYQ0Wm+LTgmre/aqcw9+qa3K4D9cMCmFs3wCXuna3n9uqxnMh+Gz4PdsTXGc5/6eBOg3C/YzEh3gxqrfje6CXr7ETa965PGoe3e3bt7Ny5Urmz5/PwIEDycnJ4fHHH+eZZ54hLCysWfns7GxWr17NggULSEhIIC8vj5deegk/Pz9Gjx4NgL+/P3PmzKF3794YDAb27NnDiy++SGBgICNGjGj1eTMyMli/fj1paWlER0fz9ttvs3z5cp599ll8fNpngL/BYJCFBbqZ7vaLVQjRdqquFvX2a6iPP3BsCAhCu/4OtNGXteuMBqW1FnYX1bCnqJa9p2ppsJ77naLXYHCEL5f09mN0b39igkwXdW6jXmNSXBCp/QM5VNbAu4fK2X6imi9L6vmypJAIPwNXJ4UwLSEYf6+O66H+PpUNVjYcMfPeETMV9Y45hA06jR/1D+CagaHEt9Bz2h0FeukJ9PJpdpOgUoqqRtuZ8GtpFoQbrHa+qbHwTY2FTwtqAIgL8eKSM6F3YJiP2/yx4unaHHSzsrKYPHkyU6ZMAWDevHns3buX7Oxsbrjhhmblt2zZwtSpU5kwYQIAkZGRHDlyhIyMDGfQTUlJcdnn6quv5uOPP+arr75yBt0LnVcpxXvvvcfs2bMZO3YsAAsXLuT2229n69atTJs2ra2XKoQQohtQez7FvvolMJcDOOaknTsPzS/gBx/bald8VXqm17awlq8rXW+qCvHWnxmO4MfwKD/8TO0XPDVNY1C4D4PC+1D2rXGvJbVWVn5eyup9ZUyOD2LGwBD6BnXOjXXHKhp496sKthyvwnLmhroQbz0/SQrhJwOCCfbpGZ+OaZpGkLeBIG8Dg7/TsaiUwtxgo7CqiS9L6thdWMOR0w0cq2jkWEUjaw+cxs+kY0SUH6P7+DMq2q/HvG9doU3vrNVqJT8/n1mzZrlsHzZsGIcOtTxdiMViwWh07a43mUzk5eVhtVqbfWSslOLLL7+kqKiIG2+8sdXnLSkpwWw2M3z4cOfrRqOR5ORkDh061GLQtVgsLkMUNE1z9vz2lDkNe4KzbSlt6lmkXT1Xa9tWVZzGvurvqM//59gQ2RvdLxehGzT0B52/vM7CnuJadhXW8EVxrctH1DoNBob5OHrm+vgTH+LVKd+D4X4mbh4ZwXVDw/j4eBXvflXO1+ZG3j9i5v0jZkZG+/HTQaGM7O2Hrp3rY7MrdpysJuurCr4sOTd0L/HMDBETYwNbPR61J/zcappGqK+OUF8jQ6P8uH5YOJUNVj4vrmV3oePTgOomG9tOVLPtRDUAA0K9HcNc+vgzINS72/X2unO7tinoVlVVYbfbCQoKctkeFBSE2WxucZ/hw4ezadMmxowZQ1xcHPn5+WzevBmbzUZ1dTUhISEA1NXVsWDBAqxWKzqdjttuu41hw4a1+rxn/22pTFlZWYt1S09PZ+3atc7ncXFxPPXUU60e9yG6l6goWXXIE0m7eq7zta2y26l5bx2VK/+Kqq8FvZ7AubcQ+Ivb0Ext79msa7Kyv6iKPQUVbD9WzlffVLu8HuxjZEJcLybG92Js/1CCfLp2rGX/mD7cfJlid4GZN3YXsCWvjM+La/m8uJbYEF+uG9WX6UOi8DP9sF7CqgYLGfuKeevzkxRXOcbf6jWNyQPD+cWoGIb2DrzoYNPTfm6jgUFxcD2OPxwOFFex7dhptuef5qtvqskrbyCvvIE39pcR7GNkfFzome+3XgR38fdbW7hju17UT0FL39jn+2afO3cuZrOZJUuWoJQiKCiI1NRUMjMzXWYu8Pb25k9/+hMNDQ3s37+ff//730RGRroMa2jNeb/7/PvGZM6ePZsZM2Y027e0tBSr1Xre/UT3omkaUVFRnDp1SsboehBpV8/1fW2rCr/G9u8X4OhBx4b4gehvXkRd3/7UnS5v1fGrG23kltRxoKSO3JI68sob+Pa0thowoJc3l/T2Z3Qffwb08j7TS2qnzlxGnbldLvMH62OE340L58aUINYfriAnz8yJijr+tPEwL2zJY1pCMNMHhhAVYGrTcU9WNvLuoXI2Ha2k8cz0CQFeen6SGMxViSGE+RmBOk6davuN2fJz6xCug1kJPsxK6NvsEwRzvYX3c7/h/dxv0GmOGTlGd/InCG3V2e1qMBg65ma0wMBAdDpds97bysrKZj2pZ5lMJtLS0rjjjjuorKwkJCSEnJwcfHx8CAg4N35Kp9M5/xLo378/hYWFvPPOO6SkpLTqvMHBwYCjZ/dsLzE4eoPPVzej0dhsWMVZPfkH0FMppaRdPZC0q+f6dtsqSxPqvbdQ768DmxW8fNDm/BJt0lWg03/v98DpOgsHSurJLakjt6S+2ThbgAg/A8nhvoyI9mNkbz+CvZsPq3NXkf5Gbh0VwfVDw9iUX0nWoQqKqpvI+KqczK/KGdPXnxkDQxga6XvekGRXij1Ftbx7qIIvimud2/sFe3HNwBB+1D/QuXBCe7wX8nN7ToiPgSnxQUyJD8JqVxwqrWfXmZk8vjY38lVpPV+V1vOfvaWE+BgYFe3HJX38GNHOY8Lbgzu2a5uCrsFgID4+nn379jFmzBjn9n379nHppZdecN9evXoBsG3bNkaNGvW9c9EqpZzjZ1tz3oiICIKDg9m3bx9xcY7JwK1WK7m5uc6xvkII4c6UUtQ02R2T1zc4JrAvr7dirrdS2WBDr9PwMerwNujwMejOPNbwNp55btA5H5/916TX3LIHqC3U4S+xv/4CnCp0bBg+Bt0NC9BCm/foKKU4VWPhQEmdM9yeqmk+XWTfQBMpEb4kR/iQEuFLuF/3+Xj4fHyMOqYPDOGqpGA+PxNaPy+uZcfJGnacrKFfsBczBoaQ+q3QWmexsTm/yhmOwdGj3ZpwLNqfQaeREulLSqQvt4x0zPKx58zczHtP1VJRb2VjfiUb8ysds3yEnxsvHnuRs3x4ujYPXZgxYwbPP/888fHxJCUlkZOTQ1lZmfNmr1WrVlFeXs6iRYsAKCoqIi8vj8TERGpra8nKyqKgoICFCxc6j5menk5CQgKRkZFYrVY+//xztmzZwvz581t9Xk3TuPrqq0lPTyc6OpqoqCjS09Px8vLisssu+0FvkhBC/BBWu8J8Jrg6vmzOIOvy1WBrtjTsD6XTwNtwJhw7Q/K5wOy6/dzjs0HZ16gjxMdAsLceYyevAqVqa7Cv/Rfqk2zHhqAQdNffAaMmOP9DtyvFCXMjB0rqHUMRSuud0119+z2IC/EiOcKXlHBfBkf4NOux9SQ6TXPMBNHHn5OVjWQdqmBTfiVfmxt5Yccp/v1FKVcOCKbJZifnaKXzZjs/o46pCUFMHxhCpH/bhjuIjhHuZ+TKMyvktTRvs2PKuXpe+6KUMF+Dc/qyIZG+btfb21Xa/JM+YcIEqqurWbduHRUVFcTExHDfffc5x0pUVFS43Pxlt9vJysqiqKgIvV5PSkoKy5cvJyLi3OTdjY2NvPzyy5w+fRqTyUSfPn246667nFOStea8ADNnzqSpqYmXX36Z2tpaBgwYwJIlS9ptDl0hhPi2OosNc72teQ9sg5XyM9vN9VaqGm20Jb76mxzhMsTb4PjXx0CQ3o7NZqPBpqi34vjXpmiwKuqtjn8brHbqrXYarHbn/K52BXUWuyPMNF/dtE0CztQr2MdA6LfqdjYIh5557GvU/aCeJaUUdZ/kYHvxSagyA6D96Eq0n92CzduPo6cbzoyvredgaR01Ta4T9xt0Gkm9vB3BNsKHQeE++Bp75n/6fYO8uHNMFDeNCCfnqJn1h8yU1FpYe+C0s0zvABMzBoYwOT6o1YtaiM5n1OsYEe3HiGg/bruk+Up8ZXVWNuQ5pqDTadA/2Mv5M5Ac4evRf9x9n4taGc3Tfd/KaKL7kQUjPFNXtGtprYXXvyjl8GlHr+G3Fwu4EL0Gwc5wqD8XEr8dGL0drxn1OtTpEtThA3DkAOrIgXMf21+IpoGmYdf0NBq9qNd70WD0pl7vTYPBmwaDiXqDNw06LxoMXjToTY4yOtOZxyYadEbqdSYadCZq9SbMel+sWuuDosluIcRWT7CtjhBbHSFWx7/BZx4H2+oJsdURZKtH39KfAJYm58pmjdH9yfvpAnK9IjlQUseh0nrnDVJneRs0BoX5nBmK4EtiL2/nR/PClc2u+Kywhg/zzOh1GlcOCO6QKcnOR34fd4xGq50vv6lzLGZSXEtxdfMM0yfQRHK4j3PIToSfsd2GOrjzymgSdFsgQdezyC9Wz9SZ7WqzK7IOVbBqX2mzcOtt0BF6JrgGexucvZrnwqvjtQAv/XnDhFIKTp10BNrDB1BHcqG8tEOvqS0UUGPwpcIUQIVXABWmQMymAMfzs4+9HM/rDK3/BE2n7ARaaglprCKkqZrgpmpCmqoIbqqm3DuE3H6XcBR/rN9ZaTXApDvTU+X4Dzs+pPvNO9pTye/jznG6zkJuST25pY6x6l+bm9+AGeZrcPb4pkT40jfw4sf4unPQ7Zn92EII0UpHTtfz4o5T5Fc4/qNIDvfhuqFhRPobCfY2XNRHvcpmg5PHUEcOOHpt8w5CdaVrIb0eYhPQElPQklJgwGDw8QOlwG4HZXd9bL/Y5wrstm+91sJzIOjMV//vvTI7jfZaKiwaZqtGuVU79/jMvxUWjQqrRqVVw67pMJsCMJsCONby4QAI9TE4/zNOifClb5Cp03ogheiOevkauby/kcv7BwKOKfUOljqG+xwoqeNoeQNldVa2HK9iy/EqwLHccXKED8nhjp+zuBAvj/gDUoKuEEK0oM5i4797y3jvcAV2BX4mHfNGRjA1IajNIUtZLHD8COrwl45e26NfQcN3BswaTRA/8FywjR+I5uXd8gH17jve1BvH5PjRFyhnsyuqGm3fuhHP9aa8sCB/4vwdf1hE+rffR6xC9EQBXnrG9A1gTF/HtK4NVjuHyuqdY90PldVT1WjjfwU1/K+gBnB8WjU43Mc5M0liL29MnXxDanuQoCuEEN/xaUE1//zsG06fuXs/tX8gt46KaPV69KqhDo4eQh0+gMo7APmHwfqd4VA+fjBgsCPYJiZD/wFohu4/xVVr6XWac3jHd8nH20J0LG+DjuFRfgyP8gPAYlMcLW9wLqJysLSeWovdueIegFGnkdjL2zlkqLvc5ClBVwghziittfDPXd+w46SjRyPK38ivxkQxItrve/dT1VWQl3tuKEJBvuNj/28LCIKklDPBNgX69kPTuf9/EkIIz2fUawwKd4TXn6X0wmZXfG1udI7xzS2pw9xgI7e0ntzSejhwdto+b+ewoslBvbr6MlokQVcI0ePZ7Ir1hyv4717HzWZ6DeYk9+LnQ3q1ePe+Ki9zDEE4G2zPzBDgoleEYwjC2WAb2Vs+fhdCdAt6nUZ8qDfxod7MGOi4Ybao2uJcOvtAST0ltRaOljdwtLyBzK8qeGJLIb8aE8VPEoO7uvouJOgKIXq0vNMNvLizmKPljpvNBof7kDYmithgL2cZZbdB3kHU3p2oL3ZCSVHzA0XHOAJtkmMoQkurdgkhRHekaRp9Ak30CTQxbUAw4PgELPfMIi0HSuooqGyif4jX9x+oC0jQFUL0SHUWG6v2lrH+PDebqcYGOPA56osdqP2fQU31uZ01HcTGf2tGhGS0gMCuuxghhOhk4X5GUuOCSI0LQtM0fIJ6UV1RduEdO5kEXSFEj/O/gmr+sesbTtc5bjb7Uf9AbhsVQVBTNeqTbGxf7ICDe11vIPP1Rxs2Gm3EWEgeiebj20W1F0II9xPsa6K+UnO7G0gl6Aoheozv3mwW6W/kzgQdIwq2o57dgf3YYee8sQCERaKNGOsItwOS0dx4Wi8hhBDNSdAVQng8m13x3uEK/rO3jAarHb2mmKUVMvezdLyyClwXoe034Fy47dNPbiATQohuTIKuEMKj5Z1u4MUdRRytaAJgYE0Bdx58k3613zgKGAwwaBja8LFow8eghbjnFDlCCCHaToKuEMIj1ZWfZtXWo6yvCsCuafhZ6vhl/vtMLd6JztcXbWyqo9d2yCg0bxlvK4QQnkiCrhDCIyil4NRJ1Bc72XGomH8GjOa0dzBocPk3nzOv/FNChwxFu+FRx3hbg/z6E0IITye/6YUQ3Zay2VBHDmD/fAfqix2UVdby8oCZ7AyfCkCkpYoFQaWMunYc9PmFjLcVQogeRoKuEMItKaWgthoqzVBZjqqqgMoKMFfAmcdFxQXYq8zY0Hi/zwRWXfoTGgxe6FHMivflukuTWlzZTAghRM8gQVcI8YOcrrOw9sBp6prs+Bh1eBt0eBt1+Bh0554btHOPNYVPQzXetZV411Sgqz4XXlXlmTBbeSbMWq3fe24FHA1L4O/J13FUFwzAoDAf0sZG0S/Y/VboEUII0bkk6AohLtrpOgv3f3iCUzWWCxduURAmmw/etjB8bI14G5rwDm7EJ6ARb1uTY5umHMHZpMfby4SPtxfevt74BPhxxCuSt443OlY2M+q4eWQ4Px4QjE6GKAghhECCrhDiIp2us/DAhmOcqrMT0VjBT05uo1Fnot7gRYPeiwa9ifoz/zbovZo9tukciy806U006U1U4d+6E9uA6jNfNAJweb8AbrskkhAf+ZUmhBDiHPlfQQjRZqeP5PHg/8wU6fwJa6hg2Rd/J6KhArx8ICgEgoLR/ELPPA6BIF+0oEAICoagUJSvPzY06q2KeouNBquiwWqn3mKn3mqn4Tv/nn18tkyD1U6DVeHv48XMpEBG9fbr6rdECCGEG5KgK4RoFaUUfLmH0znv85Df5RT6RRLWUMGjVR8RdfsiSBqC5u3TqmNpgA4w6iHQ6+KW1dU0jejoaIqLi91ubXUhhBDuQYKuEOJ7KYsFteMjVPY7mMvKWTpiAYV+kfSy17P8snCiB97X1VUUQgghWiRBVwjRIlVbjfrofdTm9VBZQaXRj4dH3kmBbyS9vHQ8dmUK0QGmrq6mEEIIcV4SdIUQLlTpKdSHGahtOdDkuNmrqldflo64gwKbN6E+BpZPjZWQK4QQwu1J0BVCAKDyD2HPToc9/wNld2zsG0f11NksrYjl68omQrz1PDo1ht6BEnKFEEK4v4sKuhs2bCAzMxOz2Uzfvn2ZN28egwcPPm/5Dz74gA0bNlBSUkJYWBhz5swhNTXV+XpOTg5btmyhoKAAgPj4eK6//noGDBjgLLNw4UJKS0ubHfvHP/4x8+fPB+CFF17g448/dnk9MTGRxx577GIuUwiPp+w22PuZI+DmHTz3wpBR6H48m+q4FJZuKuB4ZSPB3nqWT42lb6AsxCCEEKJ7aHPQ3b59OytXrmT+/PkMHDiQnJwcHn/8cZ555hnCwsKalc/Ozmb16tUsWLCAhIQE8vLyeOmll/Dz82P06NEA5ObmMnHiRAYOHIjRaCQjI4Ply5ezYsUKQkNDAXjiiSew2+3O4544cYLly5czfvx4l/ONGDGCtLS0cxdokE5rIb5LNTaiPt2E+jADSoocG/UGtHGpaNNmofXpR02jjYc3nuBYRSNBZ0NukIRcIYQQ3UebU2BWVhaTJ09mypQpAMybN4+9e/eSnZ3NDTfc0Kz8li1bmDp1KhMmTAAgMjKSI0eOkJGR4Qy6d999t8s+d955Jzt27GD//v3Ont/AwECXMu+88w6RkZEkJye7XpDBQHBwcFsvS4geQVWZUZvfQ320HmqqHRt9/dBSr0KbPB0tuBcANU02HtpUQH5FI0FeepZPiSVGQq4QQohupk1B12q1kp+fz6xZs1y2Dxs2jEOHDrW4j8ViwWg0umwzmUzk5eVhtVpb7HFtbGzEarXi79/ySklWq5VPPvmE6dOno31nqc/c3Fzmz5+Pn58fgwcP5vrrrycoKOi8dbNYzi1dqmkaPj4+zsfCM5xty57cpurUSezZ76C2bwLrme/5sAh0U2eiXTbNZf7bmiYbSzcVcLS8gUAvPcunxdIv2LuLan5+0q6eS9rWc0nbeiZ3btc2Bd2qqirsdnuz4BgUFITZbG5xn+HDh7Np0ybGjBlDXFwc+fn5bN68GZvNRnV1NSEhIc32+e9//0toaChDhw5t8Zg7d+6ktraWSZMmuWwfOXIk48ePJywsjJKSEtasWcOyZct48sknm4VtgPT0dNauXet8HhcXx1NPPUV4ePgF3gnRHUVFRXV1FTqVUorGA59Tve51GnZ+4txuSkomYM7N+EyYhKZ3/RVQ02jl/re+4MjpBoJ8jPzt2pEkRrRyad4u0tPatSeRtvVc0raeyR3b9aIGsLaU2M+X4ufOnYvZbGbJkiUopQgKCiI1NZXMzEx0Ol2z8hkZGWzbto2lS5diMrV8Z/fmzZsZMWKEc/zuWWeHRwDExsaSkJBAWloae/bsYezYsc2OM3v2bGbMmNHsGkpLS7FarS2eW3Q/mqYRFRXFqVOnesQKWspmQ+3e7rjB7PgRx0ZNQxs+Bt2PZ2NLTKZS06gscb25s+5MT+5XZfUEmPQ8ckVf/G3VFBdXd8FVXFhPa9eeRNrWc0nbeqbObleDwdDqTsk2Bd3AwEB0Ol2z3tvKysrzDg8wmUykpaVxxx13UFlZSUhICDk5Ofj4+BAQEOBSNjMzk/T0dB588EH69evX4vFKS0vZt28f99xzzwXrGxISQnh4OMXFxS2+bjQaW+zpBeQH0AMppTy6XZVSqK0fota/CadLHBuNJrTxk9Gm/RQtqq9L2W+rs9h4ZNNJviqrx9+kY9mUGOJCvLrF++Xp7dqTSdt6Lmlbz+SO7dqmoGswGIiPj2ffvn2MGTPGuX3fvn1ceumlF9y3Vy/HjS7btm1j1KhRLj26mZmZrFu3jiVLlpCQkHDe42zevJmgoCBGjRp1wfpWV1dz+vTpFodHCOFJlFKot151zKIA4B+IdsXVaJOuRgsM/t596y12Ht3sCLl+Jh2PTI4lPtT9xuQKIYQQbdXmoQszZszg+eefJz4+nqSkJHJycigrK2PatGkArFq1ivLychYtWgRAUVEReXl5JCYmUltbS1ZWFgUFBSxcuNB5zIyMDNasWcPdd99NRESEs8fY29sbb+9z/+Ha7XY++ugjUlNT0ev1LvVqaGjgzTffZNy4cQQHB1NaWsrq1asJCAhwCeVCeBpls6Fe/ytq20YAtFk3oU2biWa68CwJDVY7j35UQG5pPX5GHY9MjmFALwm5QgghPEObg+6ECROorq5m3bp1VFRUEBMTw3333eccK1FRUUFZWZmzvN1uJysri6KiIvR6PSkpKSxfvpyIiAhnmezsbKxWKytWrHA519y5c7n22mudz/fv309ZWRlXXHFFs3rpdDoKCgrYsmULtbW1hISEkJKSwuLFi50zKQjhaZTFgv3lP8OeT0HTod1yF7qJU1q1b6PVzqMfneRAST2+Rh1LJ8eQ2Et+VoQQQngOTbnbYAo3UFpa6jLtmOjeNE0jOjqa4uJitxs79EOohnrsf3sCcr8AgwHd7b9HGzX+gvuBI+Qu/+gk+76pw8eg45EpMQwM614h11PbVUjbejJpW8/U2e1qNBo75mY0IYR7ULU12J97BPIPgZc3urT70ZJHtGrfRqudxz52hFxvg46HJ/ftdiFXCCGEaA0JukJ0M6qyAvszD0Hh1+Drj+7uh9ASBrVq30arncc/PsneU3V4GzSWXtGXweG+HVxjIYQQomtI0BWiG1Glpxwht/QUBIWgW/wIWt/+rdq3yWbniS2FfHEm5D50RQyDIyTkCiGE8FwSdIXoJlTRCUfINZdDWCS63yxDi4hu1b4Wm50ntxTyeXEtXnqNByfFkCIhVwghhIeToCtEN6COHcH+3FKoqYboGHS/XYYW3KtV+54NubuLajHpNR6Y1JchkRJyhRBCeD4JukK4OfXVPux/fQwa6yEuyTEm1z+wVftabIqnPili17dC7rAovw6usRBCCOEeJOgK4cbUFzuwv/RHsFpg0DB0C+9H825db6zVrvjT1kI+K6zBpNdYktqX4RJyhRBC9CASdIVwU/b/bUb96y9gt8OIcejuuAfNaGrVvla74s9bC9lxsgajTuP+1L6MiJaQK4QQomeRoCs8Xk2jDZu9e01Mbt+UhVr9DwC08Veg3XI32neWvT4fq13x9LYiPi2owaDTuD+1DyMl5AohhOiBJOgKj7bhiJm/f3aKUN/jjO/rx8TYAAaG+6DTtK6uWouUUqj1a1AZqwDQplyDdu1taDpdq/a32RUrthWx/UQ1Bp3GfT/qw6je/h1ZZSGEEMJtSdAVHuujY5X8becpFFBW28S7h5p491AFvXwMTOgXwGWxgQwM80Zzk9CrlEK9+SoqJwMA7Zrr0a75RavqV9tkY++pWrLzKvm8uBaDDv5weR9G95GQK4QQoueSoCs80o6Cav7yaTEKuDophGlDYsj8/Gt2nKzmdL2Vd7+q4N2vKgj3NTCxXyATYwNI7NV1oVfZbKjX/4rathEA7br56Kb+9PzllaKgsoldRTXsLqrlYEkdtjOjMww6uPfyPlzaV0KuEEKInk2CrvA4XxTX8setRdgVXBEXyB2XRtKndxgJvhYarTY+L65l29fV7DhZQ2mdlXcOlvPOwXIi/AxMjA3ksn6BJIR6dVroVRYL9pf/DHs+BU2HNu8udBOmNCtXb7Gz75tadhfWsqfIUfdv6xNo4pLefkyKCyIh1LtT6i6EEEK4Mwm6wqMcLK3j8Y9PYrUrxsf4c9e4aJfxuCa9jrF9AxjbN4BGq53Pi2vZ+nUVnxXWUFJrJf1gOekHy4nyNzIxNoDL+gUSF9JxoVc11GP/2xOQ+wUYDOjuuBdt5DjHa0pRVG1hd1ENuwtr+LKkHuu3bqoz6TWGRvpySW9/RvX2IzqgdTMyCCGEED2FBF3hMfLLG3h080kabYqR0X78bmJv9LrzB1Qvg45xMQGMi3GE3t1FNWz9uppdhTWcqrGwLrecdbnl9A4wnunpDaBfcPuFXlVbjf25ZZB/CLy80S1cQlPiUA4U1bCrqJbdZ+rxbRF+Rkb38eOS3v4MjfTFy9C6m9SEEEKInkiCrvAIJysbeXhTAbUWO8nhPtz3oz4Y9a0PgV4GHRNiA5kQG0iD1c6uQkfo3V1UQ1G1hbcOnOatA6fpE2hiYmwAl/cLJDbY66Lrq8zl2J99GAq/5pvgvnw++272nPJj394jNNnO9doadJAS4ei1vaS3H30CTW5z85wQQgjh7iToim7vm5omHtpYQFWjjYRQLx6Y1PcH9XR6G3Rc1s8xVrfeYuezwhq2fl3FnqJaCquaePPL07z55WligkxcFhvIxH4BxAS1PvQ2fVPMgZdfZrf3UPaMu45C7zA4BlALQC9fA6PPBNuhUb74Gls3f64QQgghXEnQFd3a6ToLD20s4HS9lZggE0uviMHP1H7B0Meo40f9A/lR/0DqLDZ2nqxh24lq9hTVUlDZxOr9ZazeX0a/IC8m9nOM6e0T2HysbFmdhT1Ftew6Wsreb+po6P9z52s6DQaH+zh7bdtzeIQQQgjRk0nQFd1WVYOVhzcVcKrGQpS/kUcmxxDo3XHf0r5GPZPigpgUF0RN05nQ+3UVX5yq5evKRr7e18iqfWXEhXgxMTaAhFBvvvymjt1FtRw3N547kN6LYGsto/qHMrp/L4ZH++HfjuFcCCGEEA4SdEW3VGexsXTzSQoqmwj1MbBsSgy9fI2ddn5/k57J8UFMjg+iptHG/05Ws+3ravaequVYRSPHKhpdymsokqoLGFWWyyjvehIWpKEPCOq0+gohhBA9kQRd0e00Wu08uvkkR8sbCPTSs2xKDJH+XTe1lr+XnqkJwUxNCKaq0caOgmq2fl1FUXUTg8N9GWU5xfB1zxDYUAmDh6NLux/N26fL6iuEEEL0FBJ0Rbdisdl5YkshuaX1+Bl1PDI5pk03gnW0QC890wYEM21AMAD2TzejVv8F7HYYMQ7dHfegGWW+WyGEEKIzSNAV3YbNrnh6WzGfF9fipdd4cFJf4t14BTD7xizUG/8AQBs/Ge2Wu9D0MhZXCCGE6CwSdEW3YFeKv+4o5tOCagw6jftT+zI4wrerq9UidSIflZOB+nQzANqUa9CuvQ1NJ4s7CCGEEJ3pooLuhg0byMzMxGw207dvX+bNm8fgwYPPW/6DDz5gw4YNlJSUEBYWxpw5c0hNTXW+npOTw5YtWygoKAAgPj6e66+/ngEDBjjLvPnmm6xdu9bluEFBQfzzn/90PldK8dZbb7Fx40ZqampITEzktttuIyYm5mIuU7gJpRQv7/qGTflV6DS457LejIj26+pquVBWK+rzT1Gb1kNernO7ds31aNf8QqYLE0IIIbpAm4Pu9u3bWblyJfPnz2fgwIHk5OTw+OOP88wzzxAWFtasfHZ2NqtXr2bBggUkJCSQl5fHSy+9hJ+fH6NHjwYgNzeXiRMnMnDgQIxGIxkZGSxfvpwVK1YQGhrqPFZMTAwPPvig87nuOz1kGRkZrF+/nrS0NKKjo3n77bdZvnw5zz77LD4+cvNPd/XfvWWsP2wG4NfjoxkfE9C1FfoWVVmB2rIB9fEHUFnu2KjXo42agDZ5BtqA8/8BKIQQQoiO1eagm5WVxeTJk5kyZQoA8+bNY+/evWRnZ3PDDTc0K79lyxamTp3KhAkTAIiMjOTIkSNkZGQ4g+7dd9/tss+dd97Jjh072L9/v0vPr06nIzg4uMV6KaV47733mD17NmPHjgVg4cKF3H777WzdupVp06a19VKFG1h3ZuldgDsvjWRSXNdPyaWUgvxDqE3rUbu3gc3qeCEoBO1HVzq+gnt1bSWFEEII0baga7Vayc/PZ9asWS7bhw0bxqFDh1rcx2KxYDS6zm9qMpnIy8vDarViMDSvQmNjI1arFX9/f5ftp06dYsGCBRgMBhITE7n++uuJjIwEoKSkBLPZzPDhw53ljUYjycnJHDp0qMWga7FYsFgszueapjl7fuWj5q733qFy/v1FKQC3jIzg6oGhF9ijZWfb8oe2qWpqRH32CfaNWXDi6LkXEgahmzwD7ZIJaIbOm8u3p2uvdhXuR9rWc0nbeiZ3btc2Bd2qqirsdjtBQa69akFBQZjN5hb3GT58OJs2bWLMmDHExcWRn5/P5s2bsdlsVFdXExIS0myf//73v4SGhjJ06FDntsTERBYuXEjv3r0xm828/fbbPPDAA6xYsYKAgADn+VuqW1lZWYt1S09Pdxn3GxcXx1NPPUV4eHhr3g7Rgd47UMzfP/sGgFvH9eNXlyf84GNGRUVd1H7WkmJq1q+lNvsd7FWVjo1GE36TrsR/+rWYEmV4Qle62HYV7k/a1nNJ23omd2zXi7oZraXEfr4UP3fuXMxmM0uWLEEpRVBQEKmpqWRmZjYbYwuOcbbbtm1j6dKlmEzn5hsdOXKk83FsbCxJSUncddddfPzxx8yYMeO89VBKnfc6Zs+e3eK+paWlWK3W8+4nOtanJ6p46pNCAGYMDGFmgg/FxcUXfTxN04iKiuLUqVPf+/3wbUop1Ff7UJuyUF/sBGV3vBAaju6Kq9Eum0ZjQBCNAD+gbuLiXUy7iu5B2tZzSdt6ps5uV4PB0OpOyTYF3cDAQHQ6XbPe28rKymY9qWeZTCbS0tK44447qKysJCQkhJycHHx8fAgIcL2pKDMzk/T0dB588EH69ev3vXXx9vYmNjbWGYDOjt01m80uvcRVVVXnrZvRaGw2rOIs+QHsGp8X1/KnrUXYFUyOD+S2SyKA9mkPpdQFj6Ma6lGfbkZtXg/FBedeGDwc3RXTYfilaDp9u9VJ/HCtaVfRPUnbei5pW8/kju3apqBrMBiIj49n3759jBkzxrl93759XHrppRfct1cvxw0627ZtY9SoUS49upmZmaxbt44lS5aQkHDhj6ktFguFhYXOac0iIiIIDg5m3759xMXFAY4xxbm5udx4441tuUzRRXJL6nj845NY7YrxMQEsGhuNrpPG+6hThaiP3kNt3wj1dY6NXt6OhR6uuBqtd2yn1EMIIYQQ7afNQxdmzJjB888/T3x8PElJSeTk5FBWVua82WvVqlWUl5ezaNEiAIqKisjLyyMxMZHa2lqysrIoKChg4cKFzmNmZGSwZs0a7r77biIiIpw9xt7e3nh7O1a++ve//83o0aMJCwujsrKSdevWUV9f75yVQdM0rr76atLT04mOjiYqKor09HS8vLy47LLLftCbJDre0fIGHv3oJE02xahoP343MRq9rmNDrrLbYP8e7Juz4MDn516I6I02eboj5Pq613y9QgghhGi9NgfdCRMmUF1dzbp166ioqCAmJob77rvPOVaioqLC5eYvu91OVlYWRUVF6PV6UlJSWL58OREREc4y2dnZWK1WVqxY4XKuuXPncu211wJQXl7OX/7yF6qqqggMDCQxMZHHHnvMZYzGzJkzaWpq4uWXX6a2tpYBAwawZMkSmUPXzRVUNrJ0UwF1FjvJ4T784Ud9MOo7bhUxVVuD2vYh6qP3ofSUY6OmwdDR6CbPgMHDZRUzIYQQwgNoyt0GU7iB0tJSl2nHRMf5pqaJP2SfoLzeyoBQbx6dGoOvUd+u59A0jejoaIp2bse+KQu14yNoanK86OuHdtk0tElXo4W7392i4vzOtmtxcbHbjQkTP4y0reeStvVMnd2uRqOxY25GE6I9na6z8ODGAsrrrcQGmXh4cvuHXKUUas92Sj7JxvblnnMv9O3vWLlsTCqal1e7nlMIIYQQ7kGCrugSVQ1WHtpYwDc1FqL8jTwyJZZAr3YOuXYb6j9/Q32S7ZgGTKdzLM17xXRITHbLia2FEEII0X4k6IpOV9tkY+nmAk5WNdHLx8CyKTGE+rTvt6KyWlH/eha1cwtoOgLm3kzdmEkQfHGrqwkhhBCi+5GgKzpVg9XOox+d5Gh5I4FeepZNiSHS33ThHdtAWZqw/+NP8MUO0OvR3X4Pwdf8nHoZEyaEEEL0KBJ0Raex2Ow8saWQg6X1+Bl1PDI5hr5B7Ts+VjU2YH/xccj9AgxGdL/6A7rhYy64nxBCCCE8jwRd0Slqmmw8u72YL4pr8dJrPHhFX+JDvdv1HKq+DvtzyyAvF7y80S1cgjZ4eLueQwghhBDdhwRd0eF2F9bw1x2nKK+3YtBp3J/al8Hhvu16DlVThf3ZpfB1Hvj4obv7IbQBg9v1HEIIIYToXiToig5TZ7Hxyu4Sco5WAtA7wMivx/dmUHj7LuChKiuwP/MQFH4N/gHoFi9D63fhZaSFEEII4dkk6IoO8UVxLc//r5iyOisaMGNQCL8cHo6XoX1XHFOnS7GveBBKiiAoFN1vl6H1jm3XcwghhBCie5KgK9pVvcXOa5+X8P4RMwBR/kbuHhdNSmT7DlUAUCVF2J9+EMpLoVcEut8+ihYR3e7nEUIIIUT3JEFXtJsvv6njuf8V802NY/nkqxKDuWVkBD7G9u3FBVBFJ7CveAgqyyGiN7rfPYoW2rrlAIUQQgjRM0jQFT9Yo9XOv78oJetQBQDhvgbuGh/N8Ci/Djmf+voo9mcfgppq6NMP3W+WoQWFdMi5hBBCCNF9SdAVP8jBkjr+8r9iiqsdvbg/HhDE/42KwNfYvsv5nqXyDmJ/7hGor4N+A9AtXormH9gh5xJCCCFE9yZBV1yURqudVfvKyDhYjgJ6+RhYNC6KUb39O+yc6uBe7H9dDk2NkJiM7q6H0Hzaf+yvEEIIITyDBF3RZofK6nnu02JOVjUBMDk+iNsuicDf1DG9uABq72fY//4kWC2QPBJd2v1oXu27qpoQQgghPIsEXdFqFpudN/af5u3c09gVhHjrWTg2mkv7dlwvLoD9s62oV54Gmw1GjEV3x71oRmOHnlMIIYQQ3Z8EXdEqR8sb+Mv2Yr6ubAQgtX8gt4+OJMCr43pxAezbclCv/RWUHW1MKtr//RrNIN+2QgghhLgwSQzie1lsircOlPHWl45e3CAvPb8aG8X4mIAOP7d983rUqpcA0C7/MdpNv0LTdWywFkIIIYTnkKArzutYRQN/+bSYYxWOXtyJsQEsuDSSIO+O/7axv78O9fZrAGhTrkG7bj6apnX4eYUQQgjhOSToimasdsXbB06z5ssyrHYI8NJz56WRXNav46fxUkqhMv6LWv8mANr0a9Fm3ighVwghhBBtJkFXuDhhbuTZT4s5Wt4AwNi+/qSNiSLYp+O/VZRSqDdfQeVkAqDNuQXdVT/r8PMKIYQQwjNJ0BUA2OyKdw6Ws2pfGVa7wt+k4/bRkaT2D+yU3lRlt6H+8zfUJ9kAaDcsQHfF9A4/rxBCCCE8lwRdwcmqRp77tJhDZY5e3NG9/UgbG0Uv386ZwktZrah//QW182PQdGi33IVu4pROObcQQgghPJcE3R7MZldkHargP3tLabIpfI065l8SweT4oE4bE6ssFuz/+CN8sQP0erTbfofu0ss65dxCCCGE8GwSdHuo4uomnvu0mNzSegBGRvuxcGwU4X6dtxCDamzE/uLjkPs5GIzo7vwD2vBLO+38QgghhPBsFxV0N2zYQGZmJmazmb59+zJv3jwGDx583vIffPABGzZsoKSkhLCwMObMmUNqaqrz9ZycHLZs2UJBQQEA8fHxXH/99QwYMMBZJj09nZ07d1JYWIjJZCIpKYmbbrqJ3r17O8u88MILfPzxxy7nTkxM5LHHHruYy/RYnxZU88y2IhptCm+DjtsuiWBaQuf14gKo+jrszy+DI7ng5Y1u4RK0wcM77fxCCCGE8HxtDrrbt29n5cqVzJ8/n4EDB5KTk8Pjjz/OM888Q1hYWLPy2dnZrF69mgULFpCQkEBeXh4vvfQSfn5+jB49GoDc3FwmTpzIwIEDMRqNZGRksHz5clasWEFoaKizzJVXXklCQgI2m4033njDWcbb29t5vhEjRpCWlnbuAmUVLReNVjt/33mKRptiWKQvd42LJsK/c5fTVbXV2J9dCsePgI8fursfQhtw/j+UhBBCCCEuRptTYFZWFpMnT2bKFMfNQvPmzWPv3r1kZ2dzww03NCu/ZcsWpk6dyoQJEwCIjIzkyJEjZGRkOIPu3Xff7bLPnXfeyY4dO9i/f7+z53fJkiUuZdLS0pg/fz75+fkkJyefuyCDgeDg4LZeVo+xKb8Sc4ONCD8DD0+OwaDr3PlpVVUF9hUPQeHX4B+AbvEytH4JnVoHIYQQQvQMbQq6VquV/Px8Zs2a5bJ92LBhHDp0qMV9LBYLRqNrj6HJZCIvLw+r1dpij2tjYyNWqxV/f//z1qWurg6gWZnc3Fzmz5+Pn58fgwcP5vrrrycoKOi8dbNYLM7nmqbh4+PjfOxpbHZF+sFyAGYl98Ko13Xq+VV5KfanH4RvCiEoFP1vl6H16dfh5z3blp7Ypj2ZtKvnkrb1XNK2nsmd27VNQbeqqgq73d4sOAYFBWE2m1vcZ/jw4WzatIkxY8YQFxdHfn4+mzdvxmazUV1dTUhISLN9/vvf/xIaGsrQoUNbPKZSitdee41BgwYRGxvr3D5y5EjGjx9PWFgYJSUlrFmzhmXLlvHkk082C9vgGPe7du1a5/O4uDieeuopwsPDW/N2dDvv557imxoLIb5GfjlxEN5Gfaed215dxakH7oRvCtGHRxH++N8w9o7ptPMDREVFder5ROeQdvVc0raeS9rWM7lju17UANaWEvv5UvzcuXMxm80sWbIEpRRBQUGkpqaSmZmJTte8RzEjI4Nt27axdOlSTCZTi8d85ZVXOHHiBMuWLXPZfnZ4BEBsbCwJCQmkpaWxZ88exo4d2+w4s2fPZsaMGc2uobS0FKvV2uK5uyu7Uryy7RgA05OCqSgr6bRzK6Ww//0p1KlCCIuEex6jTDNAcXGnnF/TNKKiojh16hRKqU45p+h40q6eS9rWc0nbeqbObleDwdDqTsk2Bd3AwEB0Ol2z3tvKysrzDg8wmUykpaVxxx13UFlZSUhICDk5Ofj4+BAQEOBSNjMzk/T0dB588EH69Wv5I+1XX32V3bt388gjj9CrV6/vrW9ISAjh4eEUnydQGY3GFnt6AY/7AfzsZDVfmxvxMei4KjG4U6/P/kk2avc20OvR3XEvhIZ3yfurlPK4dhXSrp5M2tZzSdt6Jnds1zYN0jQYDMTHx7Nv3z6X7fv27WPgwIEX3LdXr17odDq2bdvGqFGjXHp0MzMzWbduHffffz8JCc1vTlJK8corr7Bjxw4eeughIiIiLljf6upqTp8+3eLwiJ5EKcXaA46xuVclBeNv6rwhC6r4JOqNfwKgzboJLS6x084thBBCiJ6tzUMXZsyYwfPPP098fDxJSUnk5ORQVlbGtGnTAFi1ahXl5eUsWrQIgKKiIvLy8khMTKS2tpasrCwKCgpYuHCh85gZGRmsWbOGu+++m4iICGePsbe3t3PqsFdeeYWtW7dy77334uPj4yzj6+uLyWSioaGBN998k3HjxhEcHExpaSmrV68mICCAMWPG/JD3qNs7UFLPobJ6jDqNnw4K7bTzKosF+z//BE2NMHg42o9nd9q5hRBCCCHaHHQnTJhAdXU169ato6KigpiYGO677z7nWImKigrKysqc5e12O1lZWRQVFaHX60lJSWH58uUuPbLZ2dlYrVZWrFjhcq65c+dy7bXXOssALF261KVMWloakyZNQqfTUVBQwJYtW6itrSUkJISUlBQWL17snEmhp1p34DQAUxKCCPHpvHmF1dv/hoJjjmnEbl2M1sKYbCGEEEKIjqIpdxtM4QZKS0tdph3rzvLLG/jN+8fRafC3a+KJCmj5Br/2pr7cjf0vjwCgW/QA2vCu61XXNI3o6GiKi4vdbuyQuHjSrp5L2tZzSdt6ps5uV6PR2Oqb0aSLzcOtPdObe1m/wM4LuVUV2F99FgDtiuldGnKFEEII0XNJ0PVgRVVNfFpQDcDPkjtnbK6y27H/6y9QXQl9+qH9/P865bxCCCGEEN8lQdeDvZ17GruCS/v40T/Eu1POqTa+C1/uAaMJ3e2/RzN2Ti+yEEIIIcR3SdD1UKfrLGw+VgnAz1K+f77h9qJOHEWtew0A7dpb0frEXmAPIYQQQoiOI0HXQ2UcLMdqh5QIHwaH+3b4+VRjA/Z//hlsVhgxDi31qg4/pxBCCCHE95Gg64GqGm1syDMDMLezenPXvAynCiG4F7pbFp13SWghhBBCiM4iQdcDvXeoggarIj7Ei5HRfh1+PrV7G+qTbNA0dLf9Bs0/sMPPKYQQQghxIRJ0PUy9xU7WIcdyvz9L6dXhPavqdCn2f/8VAO0nP0MbNKxDzyeEEEII0VoSdD1Mdp6Z6iY7vQOMjI8J6NBzKZsN+8tPQ10txCWh/fSGDj2fEEIIIURbSND1IBabnYyDjt7c2cm90Os6uDf3vbcgLxe8fdDdfg+aofOWFxZCCCGEuBAJuh7ko2NVnK63Eupj4Iq4jh0nq/JyUe++AYB246/QwqM69HxCCCGEEG0lQddD2OyKt3Mdy/3OHByCUd9xTavqarD/82lQdrRxV6AbN6nDziWEEEIIcbEk6HqI/xVUU1Rtwd+k48cDgjvsPEop1OsvQnkphEeh3bCgw84lhBBCCPFDSND1AEop1h5w9OZOHxiCr1HfcefaloPatRX0ese4XJ+OX4xCCCGEEOJiSND1AJ8X15Jf0YiXXmPGwNAOO486dRK1+h8AaDNvRItL6rBzCSGEEEL8UBJ0PcC6M725P04MJtCrY3pzlcXiGJfb1AiDhqFdOadDziOEEEII0V4k6HZzX5XW82VJPQYdzBrcgb2577wOJ46CfwC6W3+DppNvHSGEEEK4N0kr3dzZsbmT4oII8zV2yDnUl3tQ2e8AoLvlLrSQXh1yHiGEEEKI9iRBtxv72tzIZ4U1aMDs5I7pzVVVZuz/ehYAbdLVaCPGdch5hBBCCCHamwTdbuzs2NzxsQH0DfRq9+MrpbCvfA6qzNCnH9rP/6/dzyGEEEII0VEk6HZT39Q08cnXVQDMTemYoQRq47uwfxcYTY6pxEztH6aFEEIIITqKBN1uKj23HLuCEdF+JIR6t/vx1Yl81LqVAGg/vxWtT792P4cQQgghREeSoNsNmeutbMyvBGBuSvuPzVWNDdj/+WewWmH4GLRJV7X7OYQQQgghOpoE3W4o86tymmyKgWHeDIlo/5XJ1JuvwKmTEByK7pa70TSt3c8hhBBCCNHRJOh2M7VNNt4/YgbgZ8m92j2Eqj3bUVs2gKY55ssNCGzX4wshhBBCdBbDxey0YcMGMjMzMZvN9O3bl3nz5jF48ODzlv/ggw/YsGEDJSUlhIWFMWfOHFJTU52v5+TksGXLFgoKCgCIj4/n+uuvZ8CAAW06r1KKt956i40bN1JTU0NiYiK33XYbMTExF3OZbun9w2bqLHZigkxc2te/XY+tykuxv/ZXALSfzEEbPLxdjy+EEEII0Zna3KO7fft2Vq5cyZw5c3jqqacYPHgwjz/+OGVlZS2Wz87OZvXq1fz85z9nxYoVXHvttbzyyivs2rXLWSY3N5eJEyfy8MMPs3z5cnr16sXy5cspLy9v03kzMjJYv349t956K0888QTBwcEsX76c+vr6tl6mW2q02sk85HhPfpbcC1079uYquw37Kyugrgb6J6L99MZ2O7YQQgghRFdoc9DNyspi8uTJTJkyxdmrGhYWRnZ2dovlt2zZwtSpU5kwYQKRkZFMnDiRyZMnk5GR4Sxz9913c+WVV9K/f3/69OnDnXfeiVKK/fv3t/q8Sinee+89Zs+ezdixY4mNjWXhwoU0NjaydevWtl6mW8o5Wkllg40IPwOX92/fIQXqvbfg8AHw8nFMJWa4qM5+IYQQQgi30aY0Y7Vayc/PZ9asWS7bhw0bxqFDh1rcx2KxYDS6Lk1rMpnIy8vDarViaCFQNTY2YrVa8ff3b/V5S0pKMJvNDB9+7uN2o9FIcnIyhw4dYtq0aS3WzWKxOJ9rmoaPj4/zsTux2hXvHHT05s5O7oVR337Dq1XeQdS7bwCgu+lOdJG92+3Y7uBsW7pbm4ofRtrVc0nbei5pW8/kzu3apqBbVVWF3W4nKCjIZXtQUBBms7nFfYYPH86mTZsYM2YMcXFx5Ofns3nzZmw2G9XV1YSEhDTb57///S+hoaEMHTq01ec9+29LZc43rCI9PZ21a9c6n8fFxfHUU08RHh5+3vegq7x3oJiSWguhvkZumjgIb6O+XY5rr63h1L+eBbsd30lX0WuO5w5ZiIqK6uoqiA4g7eq5pG09l7StZ3LHdr2oz6dbSuznS/Fz587FbDazZMkSlFIEBQWRmppKZmYmOl3zXsmMjAy2bdvG0qVLMZlMbT7vd58rpc57HbNnz2bGjBnN9i0tLcVqtZ53v85mV4qXt+UDMD0pmIqyknY5rlIK+z//jPqmCMIiafzZPIqLi9vl2O5E0zSioqI4derU934/iO5F2tVzSdt6Lmlbz9TZ7WowGFrdKdmmoBsYGIhOp2vWe1tZWdmsJ/Usk8lEWload9xxB5WVlYSEhJCTk4OPjw8BAQEuZTMzM0lPT+fBBx+kX79zK3G15rzBwcGAo2f3273EVVVV562b0WhsNqziLHf6AdxZUE1BZRO+Rh1XJQa3W93s2zaidm4BnQ7d/N+Bt49bXXd7U0p59PX1VNKunkva1nNJ23omd2zXNg30NBgMxMfHs2/fPpft+/btY+DAgRfct1evXuh0OrZt28aoUaNcenQzMzNZt24d999/PwkJCW0+b0REBMHBwS5lrFYrubm5F6ybO1NKsfbAaQCuSgzGz9Q+QxbUN0Wo1S8BoP30BrSEQe1yXCGEEEIId9HmoQszZszg+eefJz4+nqSkJHJycigrK3Pe7LVq1SrKy8tZtGgRAEVFReTl5ZGYmEhtbS1ZWVkUFBSwcOFC5zEzMjJYs2YNd999NxEREc6eW29vb7y9vVt1Xk3TuPrqq0lPTyc6OpqoqCjS09Px8vLisssu+0FvUlfa/00dh083YNJr/HRQ+yz3q6wWxxK/jQ0wcCjaVT9rl+MKIYQQQriTNgfdCRMmUF1dzbp166ioqCAmJob77rvPOVaioqLC5eYvu91OVlYWRUVF6PV6UlJSWL58OREREc4y2dnZWK1WVqxY4XKuuXPncu2117bqvAAzZ86kqamJl19+mdraWgYMGMCSJUucMyl0R+vO9OZOiQ8i2Kd9pvxS69+Er/PALwDdbb9F07VPL7EQQgghhDvRlLsNpnADpaWlLtOOdZW80w387oPj6DT4+0/jifQ3XXinC1A2G/bfz4PqSrTb70E35kc/vKJuTtM0oqOjKS4udruxQ+LiSbt6LmlbzyVt65k6u12NRmOrb0Zrv8lYRbs7Ozb3R/0C2yXkAnD4S6iuBP8AtFET2ueYQgghhBBuSIKumzpZ2cj/CqoBmJPSq92Oq3Y5VonTRo6X1c+EEEII4dEk6Lqpt3PLUcClffzpF+zVLsdUVitqz3YAtNHd9wY9IYQQQojWkKDrhkprLXx0rBKAue3Ym8uh/VBTDQFBMHBo+x1XCCGEEMINSdB1QxkHy7EpGBLhw6Dw9psxQn32CQDaJRPQ9DLTghBCCCE8mwRdN1PVYCU7zwzAz9pzbK7Vgvr8U0CGLQghhBCiZ5Cg62ayDlfQaFPEh3gxMtqv/Q6c+wXU1UJQCCQmt99xhRBCCCHclARdN1JnsbH+UAXgGJuraVq7Hds528IlE2WBCCGEEEL0CBJ03Uh2npmaJju9A0yMiwlot+MqSxPqix2ADFsQQgghRM8hQddNWGx2Mg46enPnJIei17Vfby4H9kB9HQT3goRB7XdcIYQQQgg3JkHXTWw+VkV5vZVePgYmxQW167HVZ9sAR2+uppMmF0IIIUTPIKnHDdjsirdzHcv9zhwcilHfjmNzmxpRe3cCoI2e2G7HFUIIIYRwdxJ03cD2E9UUV1sIMOn48YDg9j34/t3QWA+9IiB+YPseWwghhBDCjUnQ7WJKKdad6c2dMTAUH2P7NolztoXRE9t1FgchhBBCCHcnQbeL7Smq5VhFI94GjekDQ9r12KqxAbXvM0BmWxBCCCFEzyNBt4utPeDozb1yQDABXu07v63a9xk0NUJ4FPQb0K7HFkIIIYRwdxJ0u9DBkjpyS+sx6OCng0Pb/fjnhi1cJsMWhBBCCNHjSNDtQgdK6gGYFBdEmK+xXY+tGuocN6IhwxaEEEII0TMZuroCPdncIb0YE+OPj6H9/95QX+wESxNE9oGYuHY/vhBCCCGEu5Og28Vig7w65LjOYQuXyrAFIYQQQvRMMnTBA6m6Gseyv8iwBSGEEEL0XBJ0PZD6YgdYrRAdg9anX1dXRwghhBCiS0jQ9UBq1zZAenOFEEII0bNJ0PUwqrYacj8HQLv08i6ujRBCCCFE17mom9E2bNhAZmYmZrOZvn37Mm/ePAYPHnze8h988AEbNmygpKSEsLAw5syZQ2pqqvP1goIC1qxZw7FjxygtLeWWW25h+vTpLsdYuHAhpaWlzY794x//mPnz5wPwwgsv8PHHH7u8npiYyGOPPXYxl9ktqT2fgs0GffujRfft6uoIIYQQQnSZNgfd7du3s3LlSubPn8/AgQPJycnh8ccf55lnniEsLKxZ+ezsbFavXs2CBQtISEggLy+Pl156CT8/P0aPHg1AY2MjkZGRjB8/ntdee63F8z7xxBPY7Xbn8xMnTrB8+XLGjx/vUm7EiBGkpaWdu0BDz5pYQoYtCCGEEEI4tDkFZmVlMXnyZKZMmQLAvHnz2Lt3L9nZ2dxwww3Nym/ZsoWpU6cyYcIEACIjIzly5AgZGRnOoDtgwAAGDHAsUbtq1aoWzxsYGOjy/J133iEyMpLk5GTXCzIYCA4ObutleQRVXQlf7QUc04oJIYQQQvRkbQq6VquV/Px8Zs2a5bJ92LBhHDp0qMV9LBYLRqPrql8mk4m8vDysVutF9bharVY++eQTpk+f3myO2NzcXObPn4+fnx+DBw/m+uuvJygo6Lx1s1gszueapuHj4+N83N2ozz8Fux1iE9BF9unq6riNs23ZHdtUnJ+0q+eStvVc0raeyZ3btU0ps6qqCrvd3iw4BgUFYTabW9xn+PDhbNq0iTFjxhAXF0d+fj6bN2/GZrNRXV1NSEhImyu9c+dOamtrmTRpksv2kSNHMn78eMLCwigpKWHNmjUsW7aMJ598slnYBkhPT2ft2rXO53FxcTz11FOEh4e3uU7uoGTfZzQCQZOvIjA6uqur43aioqK6ugqiA0i7ei5pW88lbeuZ3LFdL2oAa0uJ/Xwpfu7cuZjNZpYsWYJSiqCgIFJTU8nMzESnu7hJHzZv3syIESMIDQ112X52eARAbGwsCQkJpKWlsWfPHsaOHdvsOLNnz2bGjBnNrqG0tBSr1XpRdesqqrIC277dANQMHE5tcXEX18h9aJpGVFQUp06dQinV1dUR7UTa1XNJ23ouaVvP1NntajAYWt0p2aagGxgYiE6na9Z7W1lZed7hASaTibS0NO644w4qKysJCQkhJycHHx8fAgIC2nJ6wBFC9+3bxz333HPBsiEhIYSHh1N8ntBnNBpb7OkFut0PoH33NlB2iEuCsMhuV//OoJSS98UDSbt6LmlbzyVt65ncsV3b1KVqMBiIj49n3759Ltv37dvHwIEDL7hvr1690Ol0bNu2jVGjRl1Uj+7mzZsJCgpi1KhRFyxbXV3N6dOnL2p4RHejdm0FQBs9sYtrIoQQQgjhHto8dGHGjBk8//zzxMfHk5SURE5ODmVlZUybNg1wzJpQXl7OokWLACgqKiIvL4/ExERqa2vJysqioKCAhQsXOo9ptVo5efKk83F5eTnHjx/H29vbZbyH3W7no48+IjU1Fb1e71KvhoYG3nzzTcaNG0dwcDClpaWsXr2agIAAxowZ0/Z3phtR5tNwJBeQacWEEEIIIc5qc9CdMGEC1dXVrFu3joqKCmJiYrjvvvucYyUqKiooKytzlrfb7WRlZVFUVIReryclJYXly5cTERHhLFNeXs69997rfP7uu+/y7rvvkpyczNKlS53b9+/fT1lZGVdccUWzeul0OgoKCtiyZQu1tbWEhISQkpLC4sWLnTMpeCq1axsoBQmD0EK75410QgghhBDtTVPuNpjCDZSWlrpMO+bubE/eC0e/QrtuPrqpP+3q6rgdTdOIjo6muLjY7cYOiYsn7eq5pG09l7StZ+rsdjUaja2+Ge3ipj0QbkOVl8LRr0DTZHyuEEIIIcS3SNDt5s7ehEZiMlpwr66tjBBCCCGEG5Gg282pXdsAuQlNCCGEEOK7JOh2Y6r0FBw7DJoO7ZIJF95BCCGEEKIHkaDbjZ3tzWXgELRAz58rWAghhBCiLSTodmPnFomQYQtCCCGEEN8lQbebUiVFcOIo6HRoo2TYghBCCCHEd0nQ7abUZ2dmWxg0HC0gsGsrI4QQQgjhhiTodlPnhi3I3LlCCCGEEC2RoNsNqeKTcPI46PVoo8Z3dXWEEEIIIdySBN1uSH32ieNB8kg0v4CurYwQQgghhJuSoNsNybAFIYQQQogLk6DbzajCr6G4AAwGtBHjuro6QgghhBBuS4JuN+MctpAyCs3Xr2srI4QQQgjhxiTodiNKKedqaLJIhBBCCCHE95Og250UHINvCsFoQhsxpqtrI4QQQgjh1iTodiNq15lhC0MvQfP27drKCCGEEEK4OQm63YQMWxBCCCGEaBsJut3F13lQegpMJrRhl3Z1bYQQQggh3J4E3W5CfXZm7tyhl6J5eXdxbYQQQggh3J8E3W7AMWzhTNC99PIuro0QQgghRPcgQbc7yD8E5aXg5Q1DL+nq2gghhBBCdAsSdLsBZ2/u8DFoJq8uro0QQgghRPcgQdfNKbv93GwLl8psC0IIIYQQrSVB190d/QrMp8HHF1JGdXVthBBCCCG6DcPF7LRhwwYyMzMxm8307duXefPmMXjw4POW/+CDD9iwYQMlJSWEhYUxZ84cUlNTna8XFBSwZs0ajh07RmlpKbfccgvTp093Ocabb77J2rVrXbYFBQXxz3/+0/lcKcVbb73Fxo0bqampITExkdtuu42YmJiLuUy3oD5zLBKhDR+LZjR1cW2EEEIIIbqPNgfd7du3s3LlSubPn8/AgQPJycnh8ccf55lnniEsLKxZ+ezsbFavXs2CBQtISEggLy+Pl156CT8/P0aPHg1AY2MjkZGRjB8/ntdee+28546JieHBBx90PtfpXDukMzIyWL9+PWlpaURHR/P222+zfPlynn32WXx8fNp6qV1O2W2oPdsBGbYghBBCCNFWbR66kJWVxeTJk5kyZYqzNzcsLIzs7OwWy2/ZsoWpU6cyYcIEIiMjmThxIpMnTyYjI8NZZsCAAfzyl79k4sSJGI3G81dWpyM4ONj5FRgY6HxNKcV7773H7NmzGTt2LLGxsSxcuJDGxka2bt3a1st0D0dyobICfP0geURX10YIIYQQoltpU4+u1WolPz+fWbNmuWwfNmwYhw4danEfi8XSLLyaTCby8vKwWq0YDK2vwqlTp1iwYAEGg4HExESuv/56IiMjASgpKcFsNjN8+HBneaPRSHJyMocOHWLatGkt1s1isTifa5rm7PnVNK3V9eoo9rOLRIwcj06GLVy0s23pDm0q2o+0q+eStvVc0raeyZ3btU1Bt6qqCrvdTlBQkMv2oKAgzGZzi/sMHz6cTZs2MWbMGOLi4sjPz2fz5s3YbDaqq6sJCQlp1bkTExNZuHAhvXv3xmw28/bbb/PAAw+wYsUKAgICnOdvqW5lZWUtHjM9Pd1l3G9cXBxPPfUU4eHhrapTR1I2K0Vf/A8F9LpyJj7R0V1dpW4vKiqqq6sgOoC0q+eStvVc0raeyR3b9aJuRmspsZ8vxc+dOxez2cySJUtQShEUFERqaiqZmZnNxth+n5EjRzofx8bGkpSUxF133cXHH3/MjBkzzlsPpdR5jzl79uwW9y0tLcVqtba6bh3BnvsF9soK8A+gIqIv5uLiLq1Pd6ZpGlFRUZw6dep7vx9E9yLt6rmkbT2XtK1n6ux2NRgMre6UbFPQDQwMRKfTNeu9raysbNaTepbJZCItLY077riDyspKQkJCyMnJwcfHh4CAgLac3oW3tzexsbEUnwmAwcHBAJjNZpde4qqqqvPWzWg0nndMcFf/ADpnWxg5HvT6Lq+PJ1BKyfvogaRdPZe0reeStvVM7tiubboZzWAwEB8fz759+1y279u3j4EDB15w3169eqHT6di2bRujRo1qU4/ud1ksFgoLC52hNiIiguDgYJe6Wa1WcnNzL1g3d6OsVtSeTwHQLr28i2sjhBBCCNE9tXnowowZM3j++eeJj48nKSmJnJwcysrKnDd7rVq1ivLychYtWgRAUVEReXl5JCYmUltbS1ZWFgUFBSxcuNB5TKvVysmTJ52Py8vLOX78ON7e3s7xHv/+978ZPXo0YWFhVFZWsm7dOurr653z8WqaxtVXX016ejrR0dFERUWRnp6Ol5cXl13Wzabm+mov1FZDQBAkDenq2gghhBBCdEttDroTJkygurqadevWUVFRQUxMDPfdd59zrERFRYXLzV92u52srCyKiorQ6/WkpKSwfPlyIiIinGXKy8u59957nc/fffdd3n33XZKTk1m6dKmzzF/+8heqqqoIDAwkMTGRxx57zGWMxsyZM2lqauLll1+mtraWAQMGsGTJkm43h646O9vCJRPQ9Pouro0QQgghRPekKXcbTOEGSktLXaYd60zKasH+25uhvhbdPY+jDZQe3R9K0zSio6MpLi52u7FD4uJJu3ouaVvPJW3rmTq7XY1GY6tvRrv4QbKiYxz4AuprISgUEs+/rLIQQgghhPh+EnTdjNp1ZraFSyag6WTYghBCCCHExZKg60aUpQn1xQ4AtEu72Q10QgghhBBuRoKuO/lyDzTUQ0gYxA/q6toIIYQQQnRrEnTdiHORiEsmov2AOYaFEEIIIYQEXbehGhtR+z4DZNiCEEIIIUR7kKDrLr7cBY0N0CsC4pK6ujZCCCGEEN2eBF03YT87bGH0RDRN6+LaCCGEEEJ0fxJ03YBqqIf9uwDQLr28i2sjhBBCCOEZJOi6AbXvM2hqgvAoiE3o6uoIIYQQQngECbpuQH22FQBt9GUybEEIIYQQop1I0O1iqr4OvtwNyLAFIYQQQoj2JEG3i6m9O8Bqgcg+0Ld/V1dHCCGEEMJjSNDtYs5hC5fKsAUhhBBCiPYkQbcLqboaOPA5ANpoGbYghBBCCNGeJOh2IfX5DrBZIToGrU9sV1dHCCGEEMKjGLq6Aj2Z5uePShiENmRUV1dFCCGEEMLjSNDtQtqIsehHjEUp1dVVEUIIIYTwODJ0wQ3ITWhCCCGEEO1Pgq4QQgghhPBIEnSFEEIIIYRHkqArhBBCCCE8kgRdIYQQQgjhkSToCiGEEEIIjyRBVwghhBBCeKSLmkd3w4YNZGZmYjab6du3L/PmzWPw4MHnLf/BBx+wYcMGSkpKCAsLY86cOaSmpjpfLygoYM2aNRw7dozS0lJuueUWpk+f7nKM9PR0du7cSWFhISaTiaSkJG666SZ69+7tLPPCCy/w8ccfu+yXmJjIY489djGXKYQQQgghurE2B93t27ezcuVK5s+fz8CBA8nJyeHxxx/nmWeeISwsrFn57OxsVq9ezYIFC0hISCAvL4+XXnoJPz8/Ro8eDUBjYyORkZGMHz+e1157rcXz5ubmcuWVV5KQkIDNZuONN95g+fLlrFixAm9vb2e5ESNGkJaWdu4CDbImhhBCCCFET9TmFJiVlcXkyZOZMmUKAPPmzWPv3r1kZ2dzww03NCu/ZcsWpk6dyoQJEwCIjIzkyJEjZGRkOIPugAEDGDBgAACrVq1q8bxLlixxeZ6Wlsb8+fPJz88nOTn53AUZDAQHB7f1soQQQgghhIdpU9C1Wq3k5+cza9Ysl+3Dhg3j0KFDLe5jsVgwGo0u20wmE3l5eVit1ovuca2rqwPA39/fZXtubi7z58/Hz8+PwYMHc/311xMUFHTeulksFudzTdPw8fFxPhae4WxbSpt6FmlXzyVt67mkbT2TO7drm1JmVVUVdru9WXAMCgrCbDa3uM/w4cPZtGkTY8aMIS4ujvz8fDZv3ozNZqO6upqQkJA2V1opxWuvvcagQYOIjY11bh85ciTjx48nLCyMkpIS1qxZw7Jly3jyySebhW1wjPtdu3at83lSUhLLly8nPDy8zXUS7i8qKqqrqyA6gLSr55K29VzStp7JHdv1orpTW0rs50vxc+fOxWw2s2TJEpRSBAUFkZqaSmZmJjrdxU368Morr3DixAmWLVvmsv3s8AiA2NhYEhISSEtLY8+ePYwdO7bZcWbPns2MGTOczy+2PkIIIYQQwv20KdkFBgai0+ma9d5WVlaed3iAyWQiLS2N119/nRdeeIG//e1vRERE4OPjQ0BAQJsr/Oqrr7J7924efvhhevXq9b1lQ0JCCA8Pp7i4uMXXjUYjvr6+zq9v39QmPEd9fT3/7//9P+rr67u6KqIdSbt6LmlbzyVt65ncuV3bFHQNBgPx8fHs27fPZfu+ffsYOHDgBfft1asXOp2Obdu2MWrUqDb1oCqleOWVV9ixYwcPPfQQERERF9ynurqa06dPX9TwCOE5lFIcO3YMpVRXV0W0I2lXzyVt67mkbT2TO7drm4cuzJgxg+eff574+HiSkpLIycmhrKyMadOmAY5ZE8rLy1m0aBEARUVF5OXlkZiYSG1tLVlZWRQUFLBw4ULnMa1WKydPnnQ+Li8v5/jx43h7ezvHe7zyyits3bqVe++9Fx8fH2evsq+vLyaTiYaGBt58803GjRtHcHAwpaWlrF69moCAAMaMGfOD3iQhhBBCCNH9tDnoTpgwgerqatatW0dFRQUxMTHcd999zhu4KioqKCsrc5a32+1kZWVRVFSEXq8nJSWF5cuXu/TIlpeXc++99zqfv/vuu7z77rskJyezdOlSwDEfL+B8flZaWhqTJk1Cp9NRUFDAli1bqK2tJSQkhJSUFBYvXuycSUEIIYQQQvQcmnLHfmYh2pHFYiE9PZ3Zs2e3OPuG6J6kXT2XtK3nkrb1TO7crhJ0hRBCCCGER5L5tIQQQgghhEeSoCuEEEIIITySBF0hhBBCCOGRJOgKIYQQQgiPdFFLAAvhbtLT09m5cyeFhYWYTCaSkpK46aab6N27t7OMUoq33nqLjRs3UlNTQ2JiIrfddhsxMTFdWHPRFunp6axevZqrr76aefPmAdKu3Vl5eTn/+c9/+OKLL2hqaiI6Oppf/epXxMfHA9K23ZXNZuOtt97ik08+wWw2ExISwqRJk5gzZ45zoShp2+4hNzeXzMxMjh07RkVFBffcc4/L2gStaUeLxcLrr7/Otm3baGpqYsiQIcyfP/+Cq9u2F+nRFR4hNzeXK6+8kscee4wHHngAu93O8uXLaWhocJbJyMhg/fr13HrrrTzxxBMEBwezfPlyt1yyUDSXl5dHTk4O/fr1c9ku7do91dTU8OCDD2IwGLj//vtZsWIFN998M76+vs4y0rbdU0ZGBh9++CG33XYbzzzzDDfddBOZmZl88MEHLmWkbd1fY2Mj/fv359Zbb23x9da048qVK9m5cye//vWvWbZsGQ0NDTz55JPY7fZOuQYJusIjLFmyhEmTJhETE0P//v1JS0ujrKyM/Px8wPFX53vvvcfs2bMZO3YssbGxLFy4kMbGRrZu3drFtRcX0tDQwPPPP8+CBQvw8/Nzbpd27b4yMjLo1asXaWlpDBgwgIiICIYOHepcDVPatvs6fPgwo0ePZtSoUURERDBu3DiGDRvG0aNHAWnb7mTkyJH84he/YOzYsc1ea0071tXVsWnTJm6++WaGDRtGXFwcd911FydOnGDfvn2dcg0SdIVHqqurA8Df3x+AkpISzGYzw4cPd5YxGo0kJydz6NChLqmjaL2XX36ZkSNHMmzYMJft0q7d165du4iPj2fFihXMnz+fe++9l5ycHOfr0rbd16BBg/jyyy8pKioC4Pjx4xw6dIiRI0cC0raeojXtmJ+fj81mc/ndHRoaSmxsLIcPH+6UesoYXeFxlFK89tprDBo0iNjYWADMZjMAQUFBLmWDgoJclqwW7mfbtm0cO3aMJ554otlr0q7dV0lJCR9++CHTp09n9uzZ5OXl8a9//Quj0Uhqaqq0bTc2c+ZM6urq+M1vfoNOp8Nut/OLX/yCyy67DJCfW0/RmnY0m80YDAZnp9O3y5zdv6NJ0BUe55VXXuHEiRMsW7as2Wuaprk8l4UB3VtZWRkrV65kyZIlmEym85aTdu1+7HY7CQkJ3HDDDQDExcVRUFBAdnY2qampznLStt3P9u3b+eSTT7j77ruJiYnh+PHjrFy50nlT2lnStp7hYtqxM9tagq7wKK+++iq7d+/mkUcecbmjMzg4GMB5B/BZVVVVzf4aFe4jPz+fyspK/vCHPzi32e12Dh48yAcffMCzzz4LSLt2RyEhIfTt29dlW9++fdmxYwcgP7Pd2X/+8x9mzpzJxIkTAYiNjaW0tJR33nmHSZMmSdt6iNa0Y3BwMFarlZqaGpde3aqqKgYOHNgp9ZQxusIjKKV45ZVX2LFjBw899BAREREur0dERBAcHOwy+N1qtZKbm9tpP2yi7YYOHcqf//xn/vjHPzq/EhISuOyyy/jjH/9IZGSktGs3NXDgQOcYzrOKiooIDw8H5Ge2O2tsbHROI3aWTqdz9uJJ23qG1rRjfHw8er3epUxFRQUnTpwgKSmpU+opPbrCI7zyyits3bqVe++9Fx8fH+fYH19fX0wmE5qmcfXVV5Oenk50dDRRUVGkp6fj5eXlHDcm3I+Pj49znPVZXl5eBAQEOLdLu3ZP06dP58EHH+Ttt99mwoQJ5OXlsXHjRu644w4A+Zntxi655BLefvttwsLC6Nu3L8ePHycrK4srrrgCkLbtThoaGjh16pTzeUlJCcePH8ff35+wsLALtqOvry+TJ0/m9ddfJyAgAH9/f15//XViY2Ob3VzcUTQlg2KEB7j22mtb3J6WluYcE3Z2YuucnBxqa2sZMGAAt912W7MgJdzb0qVL6d+/f7MFI6Rdu5/du3ezatUqTp06RUREBNOnT2fq1KnO16Vtu6f6+nrWrFnDzp07qaysJDQ0lIkTJzJ37lwMBkf/mrRt93DgwAEeeeSRZttTU1NZuHBhq9qxqamJ//znP2zdutVlwYiwsLBOuQYJukIIIYQQwiPJGF0hhBBCCOGRJOgKIYQQQgiPJEFXCCGEEEJ4JAm6QgghhBDCI0nQFUIIIYQQHkmCrhBCCCGE8EgSdIUQQgghhEeSldGEED3SRx99xIsvvnje1x9++GFSUlI6sUauSkpKWLRoETfddBM//elPu6we7ckTr0kI4d4k6AoherS0tDR69+7dbHvfvn27oDZCCCHakwRdIUSPFhMTQ0JCQldXQ7Qjq9WKpmno9fqurooQootJ0BVCiAu49tprufLKK4mNjSUrK4vS0lIiIyOZO3cuEydOdCl74sQJ3njjDQ4ePEhTUxO9e/dm+vTpTJo0yaVcbW0t69atY+fOnZSXl+Pr60tCQgI333wzffr0cSmblZXF+++/T1VVFbGxsdxyyy0kJSV9b53PDs146KGH+PTTT/nf//6HUork5GRuvfVWQkNDXa5v7ty5XHvttS7HWLhwIcnJySxcuLDZMbdu3crOnTux2WxceumlzJ8/n4aGBl599VX27duHyWTisssu44YbbsBgcP2vRinF22+/zYcffkhVVRUxMTHceOONDB061KVccXExb775Jvv376euro7IyEiuvPJKfvKTnzjLHDhwgEceeYRFixZx/Phxtm3bhtlsZsWKFc3eRyFEzyNBVwjRo9ntdmw2m8s2TdPQ6Vzv1d21axcHDhzg2muvxcvLi+zsbP7yl7+g1+sZN24cAEVFRTz44IMEBgbyf//3f/j7+/PJJ5/w4osvUllZycyZMwGor6/noYceoqSkhJkzZ5KYmEhDQwMHDx6koqLCJaBt2LCBPn36MG/ePADWrFnDE088wQsvvICvr+8Fr++ll15i5MiR3H333Zw+fZrXX3+d559/nocffvii37O///3vjBkzhsWLF3Ps2DFWr16NzWajqKiIsWPHMnXqVPbv309GRgahoaHMmDHDZf8PPviA8PBw5s2bh1KKjIwMHn/8cR555BFngD958iQPPPAAYWFh3HzzzQQHB/PFF1/wr3/9i+rqan7+85+7HHPVqlUkJSVx++23o9PpCAoKuujrE0J4Dgm6QogebcmSJc226XQ63njjDZdt1dXVPPHEEwQHBwMwatQofve737Fq1Spn0H3zzTexWq08/PDDhIWFOcvV1dWxdu1apk2bhq+vL+vXr6egoIAHHniAYcOGOc8xduzYZnXx8fHhD3/4gzN4h4SEcP/99/P55583601uyfDhw7n11ludz2tqavjPf/6D2Wx2XktbjRo1iptvvhmAYcOGcfjwYbZt28bNN9/sDLXDhg1j7969fPLJJ82Crt1u54EHHsBkMjnruHDhQtasWcODDz4IwGuvvYaPjw/Lli1zBvphw4ZhtVp55513uOqqq/D393ceMzIykt/+9rcXdT1CCM8lQVcI0aMtWrSo2UfcmqY1KzdkyBCXYKjT6Rg/fjxr167l9OnT9OrViwMHDjBkyBBnyD0rNTWVzz//nMOHDzNixAi++OILoqOjXULu+YwaNcqld7lfv34AlJb+//bu3aWVJQAD+HejIYJuQEI0ukaLpPBVmAcIFml8giKC2tmIhWAh2tko+GjUv0EsTQgWYrOFhQgSRJJCFhsLERWF4ysumBDXeIpDlrMmOeR4bu65rN8PUswwk52d6mOYmf1W0Pv5/X5dub6+Xuv/2aDr8/l0ZVEUcXx8DK/Xm1V/cnKS1b+9vV0LucCPMO/z+XB4eIh0Og1VVSHLMrq7u2GxWHQr7h6PB5Ik4ezsDB6PR/efREQfMegS0ZcmimJBh9FyhcJMnaIosNlsUBQFlZWVWe0y+2EVRQEAPD8/Z4XhfH5etQQAs9kMAEilUgX1FwThj/oXMqbMHtxc9bmek28uVVVFMplEMpnE29sbJEmCJEk5x5CZy4xc805ExKBLRFSAp6envHWZMCkIAh4fH7PaPTw86NpZrVbc398XZ6CfYDaboapqVv3HMPlvyTeXpaWlKCsrQ0lJCUwmEwKBAHp7e3P+R1VVla6caxWeiIhfRiMiKoAsy7qAlk6nEYlEUF1dDZvNBuDH9gZZlrVgm3FwcACLxaIdtGpra8PNzQ1kWf7Pxv8rdrsdFxcXujpZlpFMJovyvKOjI91KbyKRQDQaRVNTE0wmEywWC1paWnB+fo6Ghga4XK6s38eVaiKiXLiiS0Rf2uXlZdatCwDgcDhgtVq1siAIWFpawvDwsHbrwvX1NWZmZrQ2o6OjiMViWFxcxMjIiHbrQiwWw9jYmHaoqr+/H5FIBGtraxgaGoLb7UYqlcLp6Sm8Xi9aW1uL/t4/CwQCCIVCCIVCaG5uxtXVFSRJKuhWh88wmUxYWVnBwMAA0uk0dnZ2kEgkdDcpjI+PY35+HgsLC+jp6YHdbkcikcDt7S2i0egf3RpBRF8Hgy4RfWn5PgM8OTmJzs5Orez3++F0OhEMBnF3dweHw4Hp6Wl0dHRobWpra7G8vIytrS1sbGwglUpBFEVMTU3p7tHN3CYQDoext7eHcDiMiooKuFwudHV1Fe1d8xkcHMTLywv29/exu7sLt9uN2dlZrK+vF+V5fX19eH19xebmJuLxOJxOJ+bm5tDY2Ki1qaurw+rqKra3txEMBhGPx1FeXo6amhrdITQiol/55/39/f1vD4KI6P8s88GIiYmJvz0UIiL6DdyjS0RERESGxKBLRERERIbErQtEREREZEhc0SUiIiIiQ2LQJSIiIiJDYtAlIiIiIkNi0CUiIiIiQ2LQJSIiIiJDYtAlIiIiIkNi0CUiIiIiQ2LQJSIiIiJDYtAlIiIiIkP6Dhof7Mey+MLyAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Set training run hyperparameters\n", "batch_size = 100 # number of data points in a batch\n", @@ -415,6 +1319,19 @@ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "This gives exactly the same training curves (and error / accuracy values over training) as the two runs with equivalent parameters above (second `init_scale` experiment and second `learning_rate` experiment).\n", + "\n", + "\n", + "\n", + "The times per epoch seems to be slightly lower on average (0.20s compared to 0.22s) suggesting the reformulation gives a small efficiency gain (though this will become less apparent in deeper architectures as the benefit only applies to the final layer).\n", + "" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -467,10 +1384,245 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.10\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 1.87e-02\n", + " final error(valid) = 7.73e-02\n", + " final acc(train) = 9.98e-01\n", + " final acc(valid) = 9.76e-01\n", + " run time per epoch = 1.64\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.20\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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Caic5LzuO9YV5vP9dMVMHJ+Cw2TCjT8OaPxv3sk+xK6CKiMhxyhjTrsvs/tI0pdPzzz9PSkqKz3shISFs27YNgPDw8Bb7hoWF+SxbluUTTpvWHWk/8IzzLCkp8VnXo0cPTjnlFN566y3vGNBLL73U+/6cOXO49957ueuuuxg1ahQRERH84x//4KuvvjrcKbeo7eCaW1NcXOwz5OFY0E1SneTUjChiQu3sq6pn6c4yoPlufnKXY1VV+rE6EREROZLs7GxcLhe7du0iMzPT56upx7Ot+vfvz4oVK3xC6YoVK4iMjCQ1NfWw+w4ePJgNG1qO2Z0yZQpz5sxhxYoVbNu2jQsuuMD73rJlyxg5ciTTp09nyJAhZGZmegN1W2RlZVFfX8/q1c03d2/cuLFFUAb49ttv29wz21EKqJ3Eabdxdr9YAOatL/Ks7NUXUtKgvg7rqyX+K05ERESOKDIykp///Ofcc889vPrqq2zdupW1a9cyc+ZMXn311XYd64orrmD37t3ceeedbNy4kfnz5/PYY49x7bXXHnFu0wkTJrB8+fIW68877zzKy8u54447OOWUU3yCbp8+fcjNzWXhwoVs2rSJRx991CdsHklWVhbf//73ueWWW/jyyy/Jzc3llltu8c4kcKBly5a1Oja1MymgdqJz+sdiM7B2bxXbimswxmBGNz36VJP2i4iIBLpbb72Vm266ib/97W9MmDCBSy65hA8//JCMjIx2HSc1NZUXXniBVatWcdZZZ3H77bdz8cUXc8MNNxxx36lTp7Jhw4YW00pFRUVx5plnsm7dOqZOnerz3mWXXcbEiRP55S9/yQ9+8AOKioq44oor2lXz448/Ts+ePZk2bRrXXHMNP/3pT0lMTPTZZsWKFZSVlTFp0qR2Hbu9jNXeCcICXEFBAXV1dX77/Ic/3cUXO8o4t38svxyTgpW/C/ddvwSbDdufnsNEtRxsLK0zxpCamkpeXl6757GTwKa2DU5q1+DVkbYtLS31TsEk7Xf//fdTWlrKo48+esw/y+l0tjk7XXvttQwZMoQZM2YcdrtDtb/T6SQpKemIn6Me1E42aUAsAJ9sLqG8tgGTkgYZ/cDtxlr5uX+LExERkW5hxowZpKen09DQ4O9SvGpqahg0aBA/+9nPjvlnKaB2siHJ4WTEhFDTYPHJZs/AYjO28TL/Ml3mFxERkSOLjo5mxowZ2O12f5fi5XK5uPHGG1udeaCzKaB2MmMM52XHATBvQxFuy8KMOg2Mge/WYe0r8HOFIiIiIoFNAfUYmJAZQ7jTxu6yOlbnV2LiE6H/IACsFZ/5uToRERGRwKaAegyEOW2c3tdzM9S7jVNOee/m12V+ERERkcNSQD1GJmbHArBiVzl7ymsxI08Fux22b8bKP7bPrxUREQkEms3h+NT0RK6joYB6jKRHuxiWGoEFvLehGBMVDQOHAepFFRGR4OdyuY7589ol8LjdbsrKylp9HGx7ODqpHmnFedmxrMqrYMGmYi7OScQ5ZhzW2pVYyz7D+sHFbXrerYiISHfkcrmoqKigpKRE/94FuJCQEGprazvteBERETgcRxcxFVCPoVE9I0mOcLC3op7PtpVyxvCxWM4Q2LMLtm+G3v38XaKIiMgxExER4e8S5AgC9QEbusR/DNlthon9PVNOvbu+CFxhkDMK0GV+ERERkUPpUA/q/PnzmTNnDsXFxaSnpzN9+nQGDhzY6rZLly7lgw8+YOvWrdTX15Oens6PfvQjhg0b5rPdkiVLmDVrFnv27KFHjx5cfPHFjBkzpiPlBZQzs2J5eU0hm4tqWF9YzYAx43CvXIy1/DOsH16BselvBBEREZEDtTsdLV68mJkzZzJ16lQeeeQRBg4cyIMPPkhhYWGr23/zzTfk5ORwxx138PDDDzN48GAeeeQRtmzZ4t1mw4YN/PnPf2bcuHH88Y9/ZNy4cTzxxBN89913HT+zABHtsnNab8+zaN/dUARDR0FYOBQVwsZv/FydiIiISOBpd0CdO3cup59+OmeccYa39zQxMZEPPvig1e2nT5/OBRdcQFZWFqmpqVxyySWkpqaycuVK7zbvvvsuOTk5TJkyhbS0NKZMmcKQIUN49913O35mAaTpyVKLt5dSUm/DDDsJAGu5LvOLiIiIHKxdl/jr6+vZvHkzF154oc/6nJwc1q9f36ZjuN1uqqqqiIyM9K7bsGEDkyZN8tnuxBNPZN68eYc8Tl1dHXV1dd5lY4z32bCBdrdg/8QwBiSGsb6wig82lfCjseOxvvgYa8Xn8JNrMUd5p1uwamrHQGtPOXpq2+Ckdg1eatvgFaht265kVFpaitvtJiYmxmd9TEwMxcXFbTrG3Llzqamp4eSTT/auKy4uJjY21me72NjYwx5z9uzZvP76697lzMxMHnnkEZKSktpUR1f76VjD3e+u48NNpVx/9Vns/e+fcZcUEbdnB2GjTvF3eQEtJSXF3yXIMaK2DU5q1+Cltg1egda2Heq6ay1ltyV5L1q0iNdee41bbrmlRcg9mGVZhz3mlClTmDx5covPLygooL6+/oi1dLXB0W5iQu3sLa/h7S+3cNKIk+GTeex7/y3saZn+Li8gGWNISUkhPz8/oKa+kKOntg1OatfgpbYNXl3dtg6Ho02die0KqNHR0dhsthY9myUlJUcMnIsXL+af//wnv/nNb8jJyfF5r7Xe0iMd0+l04nQ6W30vEH95HDbD2f1iee3rfby7fj8njxmH9ck8rK++wF3zS0yIy98lBizLsgKyTeXoqW2Dk9o1eKltg1egtW27bpJyOBz07duX3Nxcn/W5ubkMGDDgkPstWrSIv//978yYMYMRI0a0eD87O5s1a9a0OGZ2dnZ7ygt45/SPxWZg7d4qtsVnQnwSVFfBmpVH3llERETkONHuu/gnT57MRx99xMcff8zOnTuZOXMmhYWFnHXWWQC89NJL/O1vf/Nu3xROL7/8crKzsykuLqa4uJjKykrvNueddx6rV6/mrbfeYteuXbz11lusWbOmxY1T3V1ShJOx6VEAvLexBDP6NADcmrRfRERExKvdY1BPOeUUysrKeOONNygqKqJXr17ccccd3vEERUVFPnOiLliwgIaGBp599lmeffZZ7/rx48dz/fXXAzBgwABuvPFGXnnlFWbNmkVKSgo33ngj/fv3P9rzCziTBsTyxY4yPtlcwqVjTiN8/puQuxyrsgITrkfCiYiIiBgrkAYcdIKCggKf6acCjWVZzHh3C9tLarl6RDKTXroT8ndirrwB2yln+Lu8gBKozweWo6e2DU5q1+Cltg1eXd22TqezTTdJ6TmbXcwY4524/73virBGjwPA0mV+EREREUAB1S8mZMYQ7rSxu6yO3KzGOVC/WY1VVuLfwkREREQCgAKqH4Q5bZze1zOF1ry9NuidBW6358lSIiIiIsc5BVQ/mZgdC8CKXeXsHXk6oMv8IiIiIqCA6jfp0S6GpUZgAe/HDAVjYOM6rH0F/i5NRERExK8UUP3ovMZe1I921VDTfygA1orP/FiRiIiIiP8poPrRqJ6RJEc4KKt18/mgcwBd5hcRERFRQPUju80wsb9nyql5Vk8sux22b8bK3+nnykRERET8RwHVz87MiiXEbthcUseGoZ6J+tWLKiIiIsczBVQ/i3bZOa13NADvpZ8KgLXsMz2pQ0RERI5bCqgBoOnJUosrwigOj4M9u2D7Zj9XJSIiIuIfCqgBICshlAGJodRbsODECwFd5hcREZHjlwJqgGjqRZ0fMYB6Y8Na/hmW2+3nqkRERES6ngJqgDg1I4qYUDv76m0s6zkCigph4zf+LktERESkyymgBgin3cY5WbEAvNfvTACs5brMLyIiIscfBdQAck7/WGwGvrbFsy2iB9aKRVj19f4uS0RERKRLKaAGkMRwJ2PTowB4v88EKC+Db1b7tygRERGRLqaAGmAmDYgFYGHSMCocobqbX0RERI47CqgBZkhyOBkxIdRg55MeI7G+WoJVW+PvskRERES6jAJqgDHGeKecei/jNNw11bBmhZ+rEhEREek6CqgBaEJmDOFOG3mueHLjsnDrMr+IiIgcRxRQA1CY08bpfWMAmJd2KuSuwKqs8HNVIiIiIl1DATVATcyOBWBlwkD2OCKxVi3xb0EiIiIiXUQBNUClR7sYlhqBZQzze56su/lFRETkuKGAGsAmNfaiLkgdTc36r7HKSvxbkIiIiEgXUEANYCN7RpIc4aDcGcGixBysFZ/7uyQRERGRY04BNYDZbYaJ/T1TTs1LO1V384uIiMhxQQE1wJ2ZFUuIDbZEpbFhbznWvgJ/lyQiIiJyTCmgBrhol53T+jRPOWWt+MzPFYmIiIgcWwqo3UDTk6W+SBpK0crlfq5GRERE5NhSQO0GshJCGRDnpN7m4EN3D6z8nf4uSUREROSYUUDtJs4bmAjA/J4nUbfoYz9XIyIiInLsKKB2E6dmRBFjd7PfFcuS1Zuw9uz2d0kiIiIix4QCajfhtNs4Z2ASAM/0nUz+y89jWZafqxIRERHpfAqo3cjUQQn0ibRREhLFQ2FjqVyiO/pFREQk+CigdiNhTht3nplJrKljW2Qqj39ZQn15mb/LEhEREelUCqjdTFKEk9+d3genu54Vsf15/q0v/F2SiIiISKdSQO2GBqREMSPLAPC2yeCDL771c0UiIiIinUcBtZsad/JgftywEYB/bmogd3epnysSERER6RwKqN3YTy48jVP3f02DsfPIwu3kldX6uyQRERGRo6aA2o3ZomP49bAY+pdup9xy8H8fbaW8psHfZYmIiIgcFQXUbi70e2dwW+USEqqL2VXh5tFFu6h3a35UERER6b4UULs5YwyJl1zJ79a9QGhDDavzK3lmxR5N4i8iIiLdlgJqEDCpvej7vZO5cd3LGMvive+KeXdDkb/LEhEREekQBdQgYSb9iDG2/Vy6eR4Az67cy5e7y/1clYiIiEj7KaAGCRPiwnbJL7hwx/84PW8Fbgv+uGg320tq/F2aiIiISLsooAYRM2QEttGn8fMNbzCoOo/KOjf3L9xJaXW9v0sTERERaTMF1CBjLroaZ6iLW1f+ix72OvaU1/HQp7uoa3D7uzQRERGRNlFADTImNh4z5XKi6yr53Zf/ItxhWFdQxVPLdGe/iIiIdA8KqEHIjD8HMrPpVbSd35Z+js3Ax5tLmL1uv79LExERETkiBdQgZGx2bJdeBzYbw5a9xdWpnhulnl9VwJIdZX6uTkREROTwFFCDlMnoiznjBwBM/OBvTOwXhQU8/vluNu+v9m9xIiIiIoehgBrEzPmXQFwiFO7hql0fc2JKODUNFvf/byf7q3Rnv4iIiAQmR0d2mj9/PnPmzKG4uJj09HSmT5/OwIEDW922qKiI559/ns2bN5Ofn8/EiROZPn26zzYLFy7kqaeearHviy++SEhISEdKFMCEhmG7+FrcTz2I/cM3ueX2cdxWGcKu0loe/N9OHjgzA5dDf6OIiIhIYGl3Olm8eDEzZ85k6tSpPPLIIwwcOJAHH3yQwsLCVrevq6sjOjqaqVOn0rt370MeNywsjKefftrnS+H06JnhJ8GJY6ChgfBZ/+DOcT2JCrHx3b5q/rIkT3f2i4iISMBpd0CdO3cup59+OmeccYa39zQxMZEPPvig1e2Tk5O58sorGT9+POHh4Yc8rjGG2NhYny/pHLaLfw6uUNi4jpTcT7ltXBp2A4u2lfHKmtb/sBARERHxl3YF1Pr6ejZv3syJJ57osz4nJ4f169cfVSHV1dVcd911/OIXv+Dhhx9my5YtR3U8aWYSkjDnXwyA9cZzDAmv55djUgB4Zc0+Pt1a6s/yRERERHy0awxqaWkpbrebmJgYn/UxMTEUFxd3uIiePXty3XXXkZGRQVVVFfPmzeOuu+7ij3/8I6mpqa3uU1dXR11dnXfZGENYWJj3tfiynXkBDUsWwo4tWK/9l7OvvomdpbW89c1+/vJFHilRIQxIDPN3mT6a2lHtGXzUtsFJ7Rq81LbBK1DbtkM3SbV2EkdzYtnZ2WRnZ3uXBwwYwG233cZ7773HVVdd1eo+s2fP5vXXX/cuZ2Zm8sgjj5CUlNThOoJdzY1/YO9vr8T64mPifnARt583ksLaXBZt2sdDn+7muctGkRId6u8yW0hJSfF3CXKMqG2Dk9o1eKltg1egtW27Amp0dDQ2m61Fb2lJSUmLXtWjYbPZ6NevH/n5+YfcZsqUKUyePNm73BSQCwoKqK/XFEqtiknAjD8Xa+F7FPzl/7D/4a/8alQCO/eVs7W4hhmvruThs/sQ5gyMO/uNMaSkpJCfn6+buYKM2jY4qV2Dl9o2eHV12zocjjZ1JrYroDocDvr27Utubi5jxozxrs/NzWX06NHtr/IQLMti27Zt9OrV65DbOJ1OnE7nIfeX1pkpl2F9+QXk78L9/uuETf4Jvx+fzm/nb2VLUQ2Pf76L28elYQugrn7LstSmQUptG5zUrsFLbRu8Aq1t291VNnnyZD766CM+/vhjdu7cycyZMyksLOSss84C4KWXXuJvf/ubzz5bt25l69atVFdXU1paytatW9m5c6f3/ddee41Vq1axZ88etm7dyj/+8Q+2bt3K2WeffZSnJwcz4ZGYi64GwHr3Naw9u0mOdPL78ek4bYalO8t5YVWBn6sUERGR41m7x6CecsoplJWV8cYbb1BUVESvXr244447vN21RUVFLeZEvfXWW72vN2/ezKJFi0hKSuLvf/87ABUVFTz99NMUFxcTHh5OZmYm9957L1lZWUdzbnIIZsw4rMUfwbpVuP/fP7DddB8DEsP49UkpPL44jzfX7Sc9OoQz+sX6u1QRERE5DhkrkPpzO0FBQYHP3f3SOmvvbtx/+DXU12GuuRnb2PEA/L/VBby6dh8OG9x3egaDexx67tpjzRhDamoqeXl6oECwUdsGJ7Vr8FLbBq+ublun09mmMaiBcTeMdDmT3BMz6SIArFnPYFWUA3BxTiKnZkRR74aHPttFXlmtP8sUERGR45AC6nHMnDMVUtKhrATrzecBsBnDDSenkhUfSllNA/cv3ElFbYOfKxUREZHjiQLqccw4ndguvQ4A69P3sTZ9C4DLYeP3E9JJCHOws7SWRxftpsGtSzoiIiLSNRRQj3NmwBDMKWcA4H7h71iNc8jGhzm4c0I6LrthVV4Fz67c488yRURE5DiigCqYaVdCRBTs2ob10Tve9X3jQ7nplJ4AvLuhmH8tz1dPqoiIiBxzCqiCiYrGTJsOgDXnJax9e73vnZwRxc9GJWOAeRuKNSZVREREjjkFVAHAnHom9B8EtTW4X37aZ6qJyQPiuW1cGi674cu8Cm7/YBt7ynV3v4iIiBwbCqgCeOZBs116HdgdsHoZfLXE5/2Te0Xx0Nm9iQ9zsL2kllve38a3BVV+qlZERESCmQKqeJmeGZhzpgB4elGrK33e7xcfyp/O7U3fOBclNQ3cuWA7/9tS4o9SRUREJIgpoIoPM+kiSEqB4n1Yb7/U4v2EcCcPntWbsemR1LktHl+cx8u5BXqyiIiIiHQaBVTxYUJc2C75BQDWR3Oxtm1qsU2Y08bt49KYMjAegFfW7OPxz/OobXB3aa0iIiISnBRQpQUzZARm9GlguT1zo7pb3rVvM4bpI5L51dgU7AY+3VbKnQu2U1xV74eKRUREJJgooEqrzEVXQ1g4bNuItfC9Q253VlYs95zei8gQG+sLq7ll/la2Fdd0YaUiIiISbBRQpVUmNh4z5TIArNkvYBXvO+S2OSkRPHpOH1KjnOytqOe2+dv4cnd5V5UqIiIiQUYBVQ7JjD8X+vSH6iqsWc8edtu06BAePacPQ5LDqKp3838Ld/Lu+qIuqlRERESCiQKqHJKx2bFddh0YG9aKRbg/nX/Y7aNddu45PYMz+sbgtuDpFXt4Wo9HFRERkXZSQJXDMhn9MJMvAsB68R9YKxcfdnun3fDrk1K4fFgSAO82Ph61sk6PRxUREZG2UUCVIzI/uBhz2tmeu/qf+RPWulWH394Yfjg4gdtPSyOk8fGot83X41FFRESkbRRQ5YiMMZhLfwkjT4H6etxPPYi1ef0R9zs5I4qHzupNXNPjUefr8agiIiJyZAqo0ibGZsd29c0waBjUVOP+y31Yu7Yfcb+sBM/jUTPjXJRUex6P+unW0mNfsIiIiHRbCqjSZsbpxPbLOyAzGyrKcP/5bqzCPUfcLzHcyUNn9WZM4+NRH/t8N6/kFurxqCIiItIqBVRpFxMahm3G3ZDaC4r3437ibqzSI08nFea0cftpaVzY+HjUl9cU8vhiPR5VREREWlJAlXYzkdHYbroPEpJhbx7uP9+DVVlxxP3sNsOVI5K5vunxqFtLuXPBDoqr9XhUERERaaaAKh1i4hI8ITUqBnZswf23/8OqadsjTs9ufDxqRIiN9YVV3PL+Nrbr8agiIiLSSAFVOsz06IntxnshLBy+W4f7X49g1betN9TzeNTepEQ62VtRx20f6PGoIiIi4qGAKkfFZPTF9qu7wBkCa1ZgzXwSy922caXp0S7+eG4fBieHUVmnx6OKiIiIhwKqHDWTPRjbL24Dux1r6f+wZj3T5jv0o1127j09g9MPfDzqij16PKqIiMhxTAFVOoXJGY2ZfgMA1sdzsd55pc37Ou2GGSelcFnT41HXF/HA/3ZSWavHo4qIiByPFFCl09hOmoC5+FoArHdexv3R3Dbva4xh2uAEbjutJyF2w8rdFdz2wTZ2l+jJUyIiIscbBVTpVLbTJ2N+cDEA1itP416ysF37n5IRzYNnZRAX5mBbcQ0/enYpf/liN1uLqo9BtSIiIhKIFFCl05kf/ARz+mQArP/+GSt3ebv2758Qxp/O7c2gpDBqG9ws2FTCDfO2cteC7SzbWYZbT6ASEREJagqo0umMMZgfX4M5aQK43bj/+QjWhq/bdYzEcCcPnd2bZy4ZyakZUdgM5O6p5IH/7eK6dzYzd/1+Kus0RlVERCQYKaDKMWFsNswVMyBnNNTVeiby3765fccwhhPTYrhtXDr/Or8fUwbGExFiI6+sjn+v2MvVszfx7Mo97CmvPUZnISIiIv6ggCrHjHE4sP38Vug/CKoqcf/5D1h7dnfoWMmRTqaPSOY/U7L4xegepEWHUFnnZs63RfxizmYe+nQnX++pbPP0ViIiIhK4FFDlmDIhLs9E/r0yoawE9xN3YxXt6/DxQh02JmbH8bfJmdw9IZ1hqRG4LViyo5zfLdjOb97bysebS6hraNvDAkRERCTwKKDKMWfCI7DdeA8kp8K+vZ6QWl56VMe0GcPItEjuPb0Xf52cyTlZsYTYDZuLanjyizyueWsTr6wppLi6bY9eFRERkcChgCpdwkTHYbvpPohNgLwduP9yH1Z158xxmhHj4rqxKTw7JYvLhiWREOaguLqBl3MLuXr2Jp78Io/N+zVNlYiISHehgCpdxiT2wHbTvRARBVs24H7qQay6uk47frTLzrTBCTx9YT9uPrUn/RNCqXdbfLy5hJve28rvF2xn6Y4yPUZVREQkwCmgSpcyPTOw3fAHcIXCN6txP/sYlrtzp4ty2Azj+kTzp3P78Og5vfleb880VWv3VPLgp55pqt75VtNUiYiIBCoFVOlyJjMb23W/A4cDVi7GevEfx+zu+wGJYdzyvTSevqAfPxwUT2SIjfzyOp5ZuZer3tzEMyv3kF+maapEREQCiQKq+IUZNAzbz34Lxob12QdYbz5/TD8vKcLJ5cOTeXZKFr8c04P06BCq6t280zhN1YP/28maPRWapkpERCQAOPxdgBy/zIhTMJddh/X837DefwN3ZBS2c6Ye088Mddg4t38cZ2fFsiqvgne+LeLLvAqW7ixn6c5yMuNc/GBAHKf1iSbErr/fRERE/EEBVfzKdtrZuCvLsV6fifX6TNzhkdhOO/vYf64xjOgZyYiekewsqWHu+iI+2lzClqIa/rIkn+e+KuCc/rFMzI4jPky/JiIiIl1JXUTid7ZzpmLO/SEA1gtPYX25uEs/Pz3GxS/GpPCfKVlcMSyJhHAHJTUNvLp2Hz97ayOPf76b7/Z1zpRYIiIicmQKqBIQzNTLMaedDZYb97//hLVuVZfXEOWyM3VwAv++oB+3fq8nA5PCqHfD/7aW8tv3t3Hr/G18trWUek1TJSIickzp2qUEBGMMXPpLrMpyWLkY91MPYm5+AFJTu7wWu81wau9oTu0dzcZ91byzfj+LtpWyvrCK9YVVJHzp4LzsOM7uH0u0y97l9YmIiAQ79aBKwDA2O7arb4ZBw6CmmoYn76Fu+2a/1pSVEMpNp/TkmQuz+MnQBGJC7eyrqueF1QVcPXsjf1uSx9YiPaVKRESkMymgSkAxTie2X94BmdlQUcbeW3+Ge8Uif5dFXJiDi3OSePbCftxwcir94l3UNlh8uKmEG+Zt5a4F21m6U0+pEhER6QzGCrKJHwsKCqjrxMdnin9Y5aW4n7wHtm4EwIwdj7n455iISP8W1siyLL4pqOKd9UUs2VFGUy5NiXQyaUAcZ/SNISJEl/8PxRhDamoqeXl5mns2iKhdg5faNnh1dds6nU6SkpKOXJcCqgSshnoiPplL6aszwXJDbAK2K2dgBg33d2U+CirqmLehiA82FlNe6wY8862e0S+Gydlx9IwO8XOFgUf/2AUntWvwUtsGLwXULqKAGjyafml2L/qEhmefgL27Peu/Pwnzw+kYl8vPFfqqrnezcEsJc9cXsaPE8/hUA4zsGcEPTojnxJRwz81gon/sgpTaNXipbYNXoAZU3cUvAc/0OwHb3X/2TOa/cB7WJ+9irVuF7eqbMJnZ/i7Pq+kpVedkxbI6v5J3vt3Pit0V3q9eMSFMHhDH9zNjcDk0/FtERORQ1IMqAau1v+qstV/ifu4vULwfbDbMeRdhJl2EcQTm31q7S2t5d0MRCzaVUF3vufwfGWLj7KxYzsuOIynC6ecK/UO9McFJ7Rq81LbBK1B7UNWNI92KGTIC2z1/xYw+DdxurLmv4H74Vqy8Hf4urVU9o0P42age/HdqP64ZmUxKpJPyWjdvrtvPtW9v4pHPdrFub6X+hy8iInKADvWgzp8/nzlz5lBcXEx6ejrTp09n4MCBrW5bVFTE888/z+bNm8nPz2fixIlMnz69xXZLlixh1qxZ7Nmzhx49enDxxRczZsyYdp+QelCDx5H+qnMv+xTr//0TKsvBGeJ5GtXpkzG2wP27q8FtsXJ3Oe+sLyI3v9K7vl+8i4n94xjRM4KE8ODvVVVvTHBSuwYvtW3wCpoe1MWLFzNz5kymTp3KI488wsCBA3nwwQcpLCxsdfu6ujqio6OZOnUqvXv3bnWbDRs28Oc//5lx48bxxz/+kXHjxvHEE0/w3Xfftbc8OY7YxozDdu9fYfBwqKvFmvUM7sfvwtpX4O/SDsluM4xJj+L/zsjgL5MyOTsrhhC7YdP+Gv62NJ+rZm/i+nc2889l+SzeXkppTYO/SxYREely7Q6oc+fO5fTTT+eMM87w9p4mJibywQcftLp9cnIyV155JePHjyc8PLzVbd59911ycnKYMmUKaWlpTJkyhSFDhvDuu++2tzw5zpjYBGw33IP56S8gxAXr1+C+99e4F38c8H/l9451cf3YVJ6dksVlw5LoFx+KAXaW1vLed8U88tluLn/9O26ct4X/rNzDil3lVNYpsIqISPBr150l9fX1bN68mQsvvNBnfU5ODuvXr+9wERs2bGDSpEk+60488UTmzZt3yH3q6up8LuUbYwgLC/O+lu6vqR2P1J7GGPj+JKxBw2l49nHYvB7rv3+G1Usxl12PiYrpgmo7LibUwY+GJPKjIYmU1zSwdm8lufkV5OZXsr2khi1Fnq+3vy3CZiA7IYyclHCGpkRwQmJYt5wRoK1tK92L2jV4qW2DV6C2bbsCamlpKW63m5gY33/wY2JiKC4u7nARxcXFxMbG+qyLjY097DFnz57N66+/7l3OzMzkkUceadO4BuleUlJS2rZhairWn5+j7PXnKfl//8L68guszRuIu+FOwsacdmyL7ET9+8CUxteF5TV8uaOY5duLWLG9iJ3FVXxb6Pl6de0+Quw2ctKiGZURx6iMeAanROGwd5/A2ua2lW5F7Rq81LbBK9DatkNz87SWsjs7eVuWddhjTpkyhcmTJ7f4/IKCAurr6zu1FvEPYwwpKSnk5+e373L9uInY+2TT8MzjuHdvp/DemzCnnY3tx1djQlsfZhLIhsbC0NgYrsqJYW95HWv2eHpXV+dXsL+qnhXbi1mxvRjYQqjDMDg5nJyUCHJ6hNMnLhS7LbD+KoajaFsJaGrX4KW2DV5d3bYOh6PzJ+qPjo7GZrO16NksKSlp0avaHq31lh7pmE6nE6ez9bud9csTXCzLan+b9uqL7c7Hsd56EevDt7E++4CGb1Zju/JGTPbgY1NoF0iKcHB63xhO7xuDZVnsKqtlTX4luXsqWbOnkrKaBlburmDl7grAM+fqkB7h5PSIYGhKOL2iQwLqMk6H2lYCnto1eKltg1egtW27AqrD4aBv377k5ub6TAGVm5vL6NGjO1xEdnY2a9as8ekRzc3NJTs7cJ4SJN2PcYZgfnQVVs4Y3P/9MxTuwf2n32HOvhBzwaWYQ/yB010YY0iPdpEe7WJidhxuy2JbcQ25+ZWs2VPB2j1VlNe6WbKjnCU7ygGIDbV7w2pOj3BSokL8fBYiIiIttfsS/+TJk/nrX/9K3759yc7OZsGCBRQWFnLWWWcB8NJLL7F//35+9atfeffZunUrANXV1ZSWlrJ161YcDgfp6ekAnHfeefzhD3/grbfeYvTo0Sxfvpw1a9Zw3333dcIpyvHODBiC7Q9/wZr1DNbnC7Dmz8Za+yW2q3+D6ZXp7/I6jc0YMuNCyYwL5YKB8TS4LTbur27sYa3gm4Iqiqsb+HRbKZ9uKwUgOcLJCUlh9I1zkRkXSt84F9GhgflULhEROX4c1UT9RUVF9OrViyuuuIJBgwYB8Pe//52CggLuuece7/YXXXRRi2MkJSXx97//3bu8ZMkSXnnlFfbs2UNKSgo/+clPGDt2bLtPSBP1B49jMXmwtWoJ7uf/DmUlYHdgLrgEc84UjM3eKccPZHUNbtYXVpO7p4I1+ZWsL6yioZUfa0KYg8zGwJoZ76JvXCg9Ip3YOnFogCb9Dk5q1+Cltg1egTpRf4cCaiBTQA0ex+qXxiotxv3CU7BqiWdFvxOwXXUTJjm10z6jO6iqc/NNQSWb9lezuaiGLUXV5JW1/rsT6rA1htbG4Brnonesi5AOzhigf+yCk9o1eKltg1egBlRdy5PjjomOxXbdHVhffIz18tOw6Vvc992AuegqzGnnBNRNRMdSmNPGiJ6RjOgZ6V1XWdfAtqIab2DdUlTDtuIaquvdfFNQxTcFVd5tbQbSo0O8gVVDBEREpLPoXxI5LhljMKecgTVgKO7/Pgnr12C98BTWV0uxXfFrTGy8v0v0i3CnnYHJ4QxMbp6Oq8Ftsau0ls2NgbUpuJbWNLC9pJbtJbX8b2vzMQ4cItA33vO9s4cIiIhIcNMlfglYXXXZwXK7sT56B+vN56G+DiKiMBddjTn5+8dNb2p7WZbF/qp6thTV+ATXQw0RCDt4iEB8KGMG9KaocK8uFwYRXQYOXmrb4BWol/gVUCVgdfUvjbV7O+5nn4DtmzwrsgZh++nPMenBc6f/sXaoIQJ17pbtZzOQGhVC71jPeNY+jd/V29p9KcQEL7Vt8FJA7SIKqMHDH/9DtOrrsD6cgzX3FaitAZsN8/1JmPMvwYRHdEkNweZwQwRaE+owZMS4moNrnIvesaFEu4J/poXuTiEmeKltg5cCahdRQA0e/vwforW/AOvV/2Ct/NyzIjoWM+1KzEkTdNm/k4REJ7Bsw3a2FlWzrbiGrUU17CipbbW3FSAuzOHtZW3qce0VE4KzgzMJSOdTiAleatvgFagBVTdJibTCxCdhfnEb1rqvcL/8NOTvwvrPE1ifztdl/05gjCEx0sXw1EiGpTT3TDe4LfLKatla7Bka0PSVX15HUVU9RVX1fJVX4d3eZqBnVEhjL2tzcE2OcOoPCRGRbkw9qBKwAuUvdl3273ztbdvKugZ2lNSytaiGbcWNPa7FNZTXulvdPsxhI+OAca1N3yM1TOCYCpTfWel8atvgpR5UkW7KOJyYiT/EGjsO96vPwsrFnrv+l3+my/5dJNxpZ0BiGAMSw7zrmmYSaBoesK24hm0lNewoqaGq3s36wirWF1b5HCcuzEFiuIPEcCeJ4Q4SfF47iQ934LCpLUVE/E0BVaSNTHwS9l/c7rns/9LTsEeX/f3JGENCuJOEcKfPwwbq3Ra7Sw8cJuDpcd1bUe8dJvDdvurWjwnENobYpvCacFCgjQ9z4rQrxIqIHEsKqCLtZAYNx/aHv2AteBtr7izYuA73/92ky/4BwmEzZMS6yIh1+ayvqG1gd1kt+yrr2VdZT2FlHYWV9ew74Hu9mwNC7KE/IzbUfkB4PSjIRjiID3Po5i0RkaOggCrSAcbpxEychjV2vC77dxMRIXb6J4TRP6H1992WRWlNA4UVzaG1sLKuMdA2LddT77Yorm6guLqBjfsP/XkxjSE2MdxBYoSTlEgnPSKc9Ih00iMyhDCnAqyIyKEooIochUNe9v9sPrZLdNm/O7EZQ2yog9hQB1kJoa1uYzWF2APCa2FF4/eq5td1bouS6gZKqhvYdIgQG+OykxzpCawpkSGNwdUTYhMjnBoLKyLHNQVUkU7Q4rL/d7rsH4yMMcSEOogJddAv/tAhtuyAEFtYWU9BRR355XXsKa9jT3kt5bVuSmoaKKlpaHU8rM1AYrizObQeFGJjXHb10ItIUFNAFekk3sv+Y8bjfk2X/Y9XxhiiQx1Ehzroe4gQW1Hb0BhW69hTUdv8uvGrzm2xt6KOvRV1rNnTcn+X3XiHCnjCq5PkA0JsqEPDB0Ske1NAFelkJqHxsv/XjZP867K/HCQixE7feHurAdZtWRRV1bO3vLHXtcLT69oUXvdV1lPTYLG9pJbtJbWtHr9p+IDLbrDbDHbT+N2G97XD5hnW4LAZ7AZsNoOjle3sxnPjmXfbA99rfO15Hxx2G4VWCQ0VtcSG2gnRjWIi0kGaqF8CVjBMDG3V1TVf9tck/17B0Lb+UtfgpqCinj0VdeSX1bL3gOEDe8trKTvEwwv8ITLERlyYg7gwz8wG8Y2v40KbX8eHO9Tj2w3odzZ4aaJ+keOQz2X/V5+FLw+47P+jKzFjddlf2sdpt9EzOoSe0SGQ2vKPnKbhAwWVddQ1WNS7LdyWZ37YBrdFg2XR4Kb5tdX42t382mcfy/e9BrdFvQXuxu286xuPW2cZCsprqHdblNe6Ka+tZcchenqbhDlsjSHW7g2zBwbbptcRTpt+X0SOEwqoIl3AJCRh/+VBl/2fbZzk/5JfYNL7+LtECRKHGz5wrDX1xOzevZuymgaKqurZX9X8gIT9By5Xe75X11tU1bupKqtld9nhjx9iNz6BNS7MQXyopxc2IsSGy27DZTe4HDZCHMZn2Wn3DFMQke5BAVWkC5nBjXf7f/gW1ruvNt7tfyPm9MmYH1x8XF/2l+BhjCHKZSfKZW/xwISDVdY1HBBiWw+1RVX1VNS5qW2wyG8cm9sRIXaDy24IcRwQZO02XI7G9XYbLp/3zKGX7Z4QbOh46O1oXnbYDDGhdqJC7Ng1HZkEKQVUkS5mnE7MeT/CGjuh+bL/gjlYS/+HOX0SZvxETFSMv8sU6RLhTjvhTjvp0YcPsjX17ubQWl3P/srmntj9VQ1U1TVQU29R0+Cmpt6itvF7nbt5TF1tg0VtgwUBNE73aNgMRLnsxLocxIQ1fg+1Exvq+X7g69hQBy6N9ZVuRAFVxE9avez/9ktY8173TEl1xvmYtAx/lykSEFwOGylRIaREhbRrvwa3J6TW1Lu9Aba2oXG5waK28btn2U3tASH38Nt6lttyS0mbbztp44a1DW7Kat24LbwPhKDkyPuFOmzEhtqJCXU0fj8gzLocxIY1vecgMsSmIRHiVwqoIn5mBg/Hds9fsVZ+jvXh27BtI9ZnH2B99gEMHo7tzAtg8HDdHCLSAZ7psEzQzRRQ7/Y81aykup7ias/3kuoGig9YPvB7vduiut5Nfrm7TUMkbMYzXVlsmIMYlye4JseV0lBT3TjkwfMzdTk8QyRC7c2vXQ4boXYboY7moRH6/5e0lwKqSAAwDgdm7HisMeNg4ze4F7wNXy2Fr7/C/fVXkNoLc+b5np7VkMNfChWR4OewGe/UXUdiWRaVdW5vgG3xvaaB4qrG79X1VDT2zhZVN1BU3dB8oK2lHarVQOM4X0+IbQquTeN5Qw96Hdp4k1toU7iluXPZsg5+bdE0M5LVuM7z+vDrrcY3LA58bXlfGwMhds/NdSF2g9NmfJftByzbmpdD7E3zBSuQHy3NgyoB63ifd88qyMf6eC7Wog+husqzMjIaM/5czITzMLHxfq3vaBzvbRus1K7Boa7BorTm4J7YBmyh4ewrKqW63k1NvZvqpqEQjcMjqus9vbS19Z7XB47/Pd44bOC02bxh1hNkDw64BqfddkDA9cw04Q3N4E3WB4Zs8A3pzet8Q/mBh7AO3KqVbcafkMbIBDQPqogcmUlKwfz4GqwfXIz1+QKsj96BfXux3n0V6/03MWNOw5x5ASajr79LFZEg4rQbEsKdJIQ7ves68sdHg/uA8bz1bk+wbTjg9QHjfasb19U2WM0BuPFmN28NNM18YDAG7/wJza9bX2/wvDCNx/C+bjqW93XzercF9Q0WtW6LusaxyHWNN9nVNVjUug9e56bhgB9LvRvq3W6q6tvzk/efxJgoRiZE+7sMHwqoIgHOhEdgzroA6/TJsGqp5/L/xm+wvvgE64tPYMBQbGeeDzmjMbbgGmcnIt2X3WYIt9k5IOcGtaYb8poC68EB1hN2PaHb570Dwm5Tp/OBobmJT/imecEbvBsX2rVNY0gflZUE1HTaz6IzKKCKdBPGboeRp2AfeQrWlg2eqalWLIL1a3CvXwPJqZgzfoA55QxMaJi/yxUROa4035AHYPd3OW3m6R2PJy8vz9+l+FB3i0g3ZDKzsf3st9ge+jfmnKkQHgF787Befhr3bVfhfv2/WPsL/F2miIhIh6gHVaQbM/FJmGnTsSb/GOuLj7EWvAN7d2PNn4314duYkad67v7vO8DfpYqIiLSZAqpIEDChYZjvT8IaPxHWrMD94duwfg3W8s+wln8G/U7wjFMdfrJnqICIiEgAU0AVCSLGZoMTx2A/cQzW9s2ecarLP4VN3+Le9C0kJHsep/q9szHhEf4uV0REpFUagyoSpExGX2xX3Yjt4Wcxk38MkdGeaape+y/uW6/C/cq/sQry/V2miIhIC+pBFQlyJiYOc8FPsSZOw1r6P6wFc2D3dqyP3sH6eC4MGYkZOx4zbCzGFervckVERBRQRY4XJsSFOe1srO+dBetWeeZTXfslrFmBtWYFlivUE1LHToCBJ2Ic+t+DiIj4h/4FEjnOGGNg8HDsg4dj5e/09Kou/R8U5De/jorBjDoVM2Y89DvBs4+IiEgXUUAVOY6ZlHTP5f/zL4HN67GWfeq567+sBOuTeVifzPPcWDV2vOerZ4a/SxYRkeOAAqqIeHpI+52A6XcC1kVXwzerPb2pXy3x3Fg17zWsea9BeibmpPGY0adh4pP8XbaIiAQpBVQR8WHsdhgyAjNkBFZNDVbuMs9l/7UrYecWrNe3YL3xHPQfjBk7zvMwgIgof5ctIiJBRAFVRA7JuFyY0afB6NOwykuxVi7GWvY/2PA1bFiLtWEt1ktPw9CRmDHjMSeOxoS4/F22iIh0cwqoItImJjIaM/5cGH8u1r4CrOWfenpWd26FVUuxVi3FCg3DDD/JMxPACTl6apWIiHSIAqqItJtJSMKc+0M494dYu7Z5xqsu+9QzXvWLT7C++ASiYz1jVceMg8xszQQgIiJtpoAqIkfFpPXGTL0c68JLYfO3nrC6YhGUFnseBvDRO5Cc6hkCMHYcJiXd3yWLiEiAU0AVkU5hbDbIGoTJGoT145/Buq+wln6KtWoJ7M3DmvsK1txXoHcWtrHjqT/nfPS0ZRERaY0Cqoh0OuNwQM5oTM5orOoqrNWNMwF8/SVs24h720byXn0WevbCDB2FyRkN/QZqzKqIiAAKqCJyjJnQMMzY8TB2PFZZCdaKz7FWfAYbv4XdO7B278CaPxvCIzCDR0DOKMzgkZioaH+XLiIifqKAKiJdxkTFYL5/Hub0SfSIjCDv4/ewcpdjrVkJFWWep1gt/wzL2KBvNiZnNCZnFKT10U1WIiLHEQVUEfELW1Q0tjHjsEafhuVugM0bGsPqCs/UVZu+xdr0LdbsFyA+sXkowIAcjEtzrYqIBDMFVBHxO2OzQ9ZATNZAmHq5Z57VNSs8YfWb1bC/EOt/72P9731whnjmWM0ZhRk6GpOgR66KiAQbBVQRCTgmIQkzYSJMmIhVWwPr13h6V3NXwP4CaAyvFv+EtN7NQwH6DvCEXRER6dYUUEUkoJkQFwwdhRk6CusSC3Zt84TT3OWwab1nedc2rPdeh8ioxhutRmMGj8BERPq7fBER6QAFVBHpNowxkN4Hk94HJk7DKi/FWvulp0d17UooL/NMZ7X0f1g2m2fYQNPY1dReutFKRKSbUEAVkW7LREZjTpoAJ03Aamjw3FjVdKPV7u2w4WusDV9jvfEcJCR7wuoJQyF7CCYqxt/li4jIIXQooM6fP585c+ZQXFxMeno606dPZ+DAgYfcft26dTz33HPs3LmTuLg4zj//fM4++2zv+wsXLuSpp55qsd+LL75ISEhIR0oUkeOMsdshezAmezBMm45VuKd5KMC3a2DfXqyF87AWzvPs0DMDM2AIJnuIJ7BGx/q1fhERadbugLp48WJmzpzJNddcw4ABA1iwYAEPPvggTzzxBImJiS2237t3Lw899BBnnHEGv/71r1m/fj3PPPMM0dHRnHTSSd7twsLCePLJJ332VTgVkY4yiT0w358E35+EVVMN36zG+mY11vo1sGsb7N6OtXs71ieNgTW1F2ZAY+/qgMGY6Dj/noCIyHGs3QF17ty5nH766ZxxxhkATJ8+ndWrV/PBBx9wySWXtNj+gw8+IDExkenTpwOQnp7Opk2beOedd3wCqjGG2NjYjp2FiMhhGFcoDBuLGTYWAKusFL5bi7V+LdaGtZ55V/N2YOXtgIXzsKAxsDb2rmYPwcQosIqIdJV2BdT6+no2b97MhRde6LM+JyeH9evXt7rPd999R05Ojs+6YcOG8cknn1BfX4/D4Smhurqa6667DrfbTZ8+ffjxj39MZmbmIWupq6ujrq7Ou2yMISwszPtaur+mdlR7Bh9/t62JjoGRp3q+wHOz1Yavsdav8QTWHVsOCKzveQJrSjpmwFDvsAATG++X2gOZv9tVjh21bfAK1LZtV0AtLS3F7XYTE+N7c0FMTAzFxcWt7lNcXNzq9g0NDZSVlREXF0fPnj257rrryMjIoKqqinnz5nHXXXfxxz/+kdTU1FaPO3v2bF5//XXvcmZmJo888ghJSZq0O9ikpKT4uwQ5RgKnbVOh/wCYNBWAhtJiar5eRc2aldSsWUndlu8gfydW/k6s/70HgCO9N66hI3ENGUHo0JHY9cAAr8BpV+lsatvgFWht26GbpFpL2YdL3ge/Z1mWz/rs7Gyys7O97w8YMIDbbruN9957j6uuuqrVY06ZMoXJkye3+IyCggLq6+vbeCYSyIwxpKSkkJ+f7/1vRoJDt2jbPgM8Xz+4BHt5GdZ3X2NtWOsZw7pjC/U7t1G/cxsV773p2b5Hmqd3dcAQT09rbIJ/6/eDbtGu0iFq2+DV1W3rcDja1JnYroAaHR2NzWZr0VtaUlLSope0SWxsbIvtS0tLsdvtREa2Pom2zWajX79+5OfnH7IWp9OJ0+ls9T398gQXy7LUpkGq27RtRCTmwDGsFeXgDaxrYcdm2LMLa88urE/ne/ZJ7tk8hrX/YIhPDLhLaMdKt2lXaTe1bfAKtLZtV0B1OBz07duX3NxcxowZ412fm5vL6NGjW92nf//+rFy50mfd6tWr6du3r3f86cEsy2Lbtm306tWrPeWJiHQJExHpe9NVZTl8t645sG7fDHt3Y+3dDZ994BnDGhvveRRr3wGYzAHQOwvjcvn1PEREAlW7L/FPnjyZv/71r/Tt25fs7GwWLFhAYWEhZ511FgAvvfQS+/fv51e/+hUAZ599NvPnz+e5557jjDPOYMOGDXz88cfccMMN3mO+9tpr9O/fn9TUVO8Y1K1bt3L11Vd30mmKiBw7JjwSThyDOdHzh7snsH7TPCRg5xYo3g9ffoH15ReewGqzQXompt8Ab3AlKfW46WUVETmcdgfUU045hbKyMt544w2Kioro1asXd9xxh3c8QVFREYWFhd7tk5OTueOOO3juueeYP38+cXFxXHnllT5TTFVUVPD0009TXFxMeHg4mZmZ3HvvvWRlZXXCKYqIdC1PYB2NOdFzZcmqqYHtm7A2f4u1eT1sWg8l+z3rtm+CTxqntoqMgszGXtZ+J0Cf/piwcL+ei4iIPxgrkAYcdIKCggKf6aek+zLGkJqaSl5eXkCNi5Gjd7y3rWVZUFQIm9djbVqPtWU9bNsIB9/gaYzniVd9B0BmNqbvCZCajrHZ/FP4ERzv7RrM1LbBq6vb1ul0dv5NUiIicvSMMRCfBPFJmFHfA8Cqq4OdWzw9rJvXe74X7oFd27B2bWseyxoW3hhWBzQH18hov56PiEhnU0AVEQkAxun0hM3MbDjjBwBYJUWwxRNWrc0bYMsGqKqEdauw1q3C29eR3NMTVvs1hta0Phi73W/nIiJytBRQRUQClImJg2EnYYZ5xuxbDQ2wezvWpm89vaxb1kP+ruYZA5Z84gmtIS7o3Q+T0Q/SemPSenuGCoSG+fV8RETaSgFVRKSbMHY79MrE9MqECRMBsCrKYMsGTy/rpvWNvawVnmmvvlvn2abpAEkpzYE1rQ8mvQ8kp6q3VUQCjgKqiEg3ZiKiYMhIzJCRAFhut+ehAVs2wM6tnvGru7ZBSREU5ENBPtaqpZ5tARxO6NmrObSm9Yb03hATrymvRMRvFFBFRIKIsdkgtRcm1fdBJ1ZZKexqDKwHBtfaGti+GWv7Zs92TTtERjUHVm+va28NExCRLqGAKiJyHDBR0XBCDuaEHO86y+0+YKaArbCzccaAPbuhvAzWr/E8aIADgmtij8bA2gfSezcOE+ipYQIi0qkUUEVEjlPGZoPkVM841OHND0+xamsgb6cntO7ahrWzaZjAfk+gLdyDtXqZZ1vwDBNITcek96H0hCG4I2IhNQ0Seii4ikiHKKCKiIgP0zQLQO9+PuutslLYvQ1r59bG4LoVdm+HmmrYsQVrxxZKvvikeQeHA5J7esJrSrpn6EFKOqSkYVyhXXpOItK9KKCKiEibmKhoGDAUM2Cod53ldsO+vbBrK+zajmv/Hqq2bII9O6G21hNgd2/3DhHwDhWIT4KUdExqevP31HSIitXNWSKigCoiIh1nbDbP9FVJKZjhJ5PY+MhEd0MD7C/wDBXI3wn5O7HydnjmbS0r8by3vwBr3VfAAcE1PKKxpzXtgB7XdEjUcAGR44kCqoiIdDpjs3luqErsgRk60uc9q7y0MbDu9PlO4R6orIBN33oeRsABwfXg4QIp6Z6ZCjRcQCQoKaCKiEiXMpHRkDUIkzXIZ71VVwt7djcH1rwdnt7XPbuOPFygR09Mj56QlOr5npwKiSmeR8iKSLejgCoiIgHBOEMgvfEJVwew3G7PkID8xuECec3ffYYLfLPas733gMYTXpNTMU2zFSQ3htekFM/niUhAUkAVEZGA5jNcYMghhgvsyYO9ebB3N1bjd6qrPDdw7dvbeniNS/T0vCalQo+mENtT4VUkACigiohIt3XI4QKW5eldbQqse/KgIA9rz+7m8Hq4nte4RJ8eV9MjFZJ6QrLCq0hXUEAVEZGgY4yB6FiIjj1MeM3D2ru7sec1r7nntaqyObx+m+vZp/nAEJfgGeuanArxiRATj4lLgNh4iEmAyChNlSVylBRQRUTkuOIbXgf6vGdZFpSXegLrnt1QkOe5casxxFJVAfsLYX+h9zGwcECABc+MAzHxnsAaG4+JTfAsx8VjYuIh1hNmTVh4l5yvSHekgCoiItLIGANRMRAVg+l3gs97nvBa1jxsoCAPivdjFe+H4n1QvN/TM1tf7x37Cr7h1SfIusKaQ2xjgG3qhTWxBwRcDSmQ45ACqoiISBt4wms0REW3CK9NrPo6KCn2BlareD+UHPC66auqAmqqPFNo7dnlG1w5KMhGRDUG13hMXGMPbHwSJiEZEpI8r0Ncx+isRfxDAVVERKSTGIfTExoTkjzLh9jOqqn2hlWreB+U7Iei/VDSuNwUZOtqoaLM87Vr26F7Y6NiPFNqJSRjmkJrU4BNSIbwSI2LlW5FAVVERKSLGVco9OjpmebqENtYluV5slZjL6xV1DSUYB/WvoLGYQQFnp7YshLP17aNLR9kAJ7hBPGJzQE2IbkxxCZBfDLExmFsepSsBA4FVBERkQBkjIGISM9XWkarQdYbYvfthf17PcF1fwFWU3jdt9cTXGuqIG+H5+lcB+7f9MJu9wwdOFSATUw+9icscgAFVBERkW7KJ8Rm9G09xNbWNM48sLe553V/QfPr4n3Q0ND8UIMD9z3g9a6YONzRsZ6xsN6buA64oSsmHqJj1BMrnUIBVUREJIiZEBekpEFKWusB1t3gGUZwYGjdV4C1vznMUlONu6QISopgx5ZDj4W12SA67oAptg6YVuuAqbeI0FyxcngKqCIiIscxY7N7brCKT8JktXzfsixMZTmJDhsFG9djFTXdxLWveWaCkv2e2Qvcbu84WTjMFFsOp+8UW7Hxngcg+PTOxmNCNVfs8UoBVURERA7JGIOJjCYkNRVbaKRn3GsrLHcDlJYcNMXWATMVNIXZ8lKor4PCPVC45/BTbLnCICbW0ysbHYvxeR3X+MCFxmWn85icv/iHAqqIiIgcNWOzN1/C5zBTbNXVQWlRy17Y4v1YJfuhqHHarapKz81de6s8T/HiMD2yAOER3sBqomPBG2APCrNRMRiH4k+gUwuJiIhIlzFOp2eWgATPzACHDLLVVZ4xryVFUFaMVVIEpcVQeuDrxu/19Z7ZDCorIP8IDz4AiIyCqFiIaQyzjb2wxMRiouMgOgYioj3bhbg0XtYPFFBFREQk4JjQMAgN88wXy2GCbNNUW41h9eDwapU0v6a02DNOtrzM83XQtFvQSph1OJrDakQURERiIqM9rxvXmYio5uXIKAiPUi/tUdJPT0RERLotn6m2UnsdMsgCWG43VJR7AmtJEdaBvbAlxc3LZSWeANtQ7+mdLWkcT9t0nIOP29qHhYY1htboxhAb2Rhoo32DbeQB4TY0HGOzHe2PJCgooIqIiMhxwdhsEBXt+Urrffgwa1lQU+15zGx5GVSUYpWXeQJuRWnjujKsinLPjV9N21VVgGVBdZXna99ez/Fa+4wWBRpPsA0Lh7CIxtcRmKblsLDG7+GN632XCQ2HsPCg6L3t/mcgIiIi0slMU1gMDTvieNkDWe4Gz5CDxgBLRVljsG0OulSUY1WUNQfbinJPGLYsz81hVZVAYfMxD/VZhyoiJMQnsDYHWt9lwsIxYRHUDh0Groi2/3C6gAKqiIiISCcxNrvnsn5kdPO6Nuxn1dV6el8rGwNqdSVUVWBVeb5TVdX4vRLroGXv9jXVnoPV1nq+Sop8P6O1zwXKz50C067q8DkfCwqoIiIiIn5mnCHgDPHMKHDg+nYcw2po8ATVygrP8IJDBlrPslVVAdWVOHtlUtO5p3PUFFBFREREgoCx2xtnGojyXX+4fYwhKjWV8ry8Y1tcO+lWMREREREJKAqoIiIiIhJQFFBFREREJKAooIqIiIhIQFFAFREREZGAooAqIiIiIgFFAVVEREREAooCqoiIiIgEFAVUEREREQkoCqgiIiIiElAUUEVEREQkoDj8XUBncziC7pSOe2rT4KW2DU5q1+Cltg1eXdW2bf0cY1mWdYxrERERERFpM13il4BVVVXFbbfdRlVVlb9LkU6mtg1OatfgpbYNXoHatgqoErAsy2LLli2okz/4qG2Dk9o1eKltg1egtq0CqoiIiIgEFAVUEREREQkoCqgSsJxOJ9OmTcPpdPq7FOlkatvgpHYNXmrb4BWobau7+EVEREQkoKgHVUREREQCigKqiIiIiAQUBVQRERERCSgKqCIiIiISUPRQXfGr2bNns2zZMnbt2kVISAjZ2dlceuml9OzZ07uNZVm89tprfPTRR5SXl9O/f3+uvvpqevXq5cfKpT1mz57Nyy+/zHnnncf06dMBtWt3tn//fl588UVWrVpFbW0tqamp/PKXv6Rv376A2ra7amho4LXXXuOzzz6juLiYuLg4JkyYwNSpU7HZPP1ZatvuYd26dcyZM4ctW7ZQVFTEb3/7W8aMGeN9vy3tWFdXxwsvvMDnn39ObW0tQ4YM4ZprriEhIaFLzkE9qOJX69at45xzzuGBBx7gzjvvxO12c//991NdXe3d5u233+bdd9/lqquu4qGHHiI2Npb7778/4B7LJq3buHEjCxYsoHfv3j7r1a7dU3l5OXfddRcOh4Pf/e53PP7441x++eWEh4d7t1Hbdk9vv/02H374IVdffTVPPPEEl156KXPmzOH999/32UZtG/hqamro06cPV111Vavvt6UdZ86cybJly7jhhhu47777qK6u5uGHH8btdnfJOSigil/9/ve/Z8KECfTq1Ys+ffpw3XXXUVhYyObNmwHPX3nz5s1jypQpjB07loyMDK6//npqampYtGiRn6uXI6muruavf/0rP//5z4mIiPCuV7t2X2+//TYJCQlcd911ZGVlkZyczNChQ0lJSQHUtt3Zhg0bGDVqFCNGjCA5OZmTTjqJnJwcNm3aBKhtu5Phw4fzk5/8hLFjx7Z4ry3tWFlZyccff8zll19OTk4OmZmZ/PrXv2b79u3k5uZ2yTkooEpAqaysBCAyMhKAvXv3UlxczIknnujdxul0MmjQINavX++XGqXtnnnmGYYPH05OTo7PerVr97VixQr69u3L448/zjXXXMOtt97KggULvO+rbbuvE044gbVr17J7924Atm7dyvr16xk+fDigtg0WbWnHzZs309DQ4PP/7vj4eDIyMtiwYUOX1KkxqBIwLMviueee44QTTiAjIwOA4uJiAGJiYny2jYmJobCwsKtLlHb4/PPP2bJlCw899FCL99Su3dfevXv58MMPmTRpElOmTGHjxo3897//xel0Mn78eLVtN3bBBRdQWVnJTTfdhM1mw+1285Of/ITvfe97gH5vg0Vb2rG4uBiHw+HtLDpwm6b9jzUFVAkYzz77LNu3b+e+++5r8Z4xxmdZD0ALbIWFhcycOZPf//73hISEHHI7tWv343a76devH5dccgkAmZmZ7Nixgw8++IDx48d7t1Pbdj+LFy/ms88+Y8aMGfTq1YutW7cyc+ZM781STdS2waEj7diVba2AKgHhP//5DytXruTee+/1uUMwNjYWwHtHaZPS0tIWf/1J4Ni8eTMlJSXcfvvt3nVut5tvvvmG999/nz//+c+A2rU7iouLIz093Wddeno6S5cuBfQ72529+OKLXHDBBZx66qkAZGRkUFBQwFtvvcWECRPUtkGiLe0YGxtLfX095eXlPr2opaWlDBgwoEvq1BhU8SvLsnj22WdZunQpd999N8nJyT7vJycnExsb6zMou76+nnXr1nXZL4m039ChQ/nTn/7Eo48+6v3q168f3/ve93j00Ufp0aOH2rWbGjBggHeMYpPdu3eTlJQE6He2O6upqfFOJ9XEZrN5e83UtsGhLe3Yt29f7Ha7zzZFRUVs376d7OzsLqlTPajiV88++yyLFi3i1ltvJSwszDu2JTw8nJCQEIwxnHfeecyePZvU1FRSUlKYPXs2LpfLOy5KAk9YWJh3HHETl8tFVFSUd73atXuaNGkSd911F2+++SannHIKGzdu5KOPPuLaa68F0O9sNzZy5EjefPNNEhMTSU9PZ+vWrcydO5fvf//7gNq2O6muriY/P9+7vHfvXrZu3UpkZCSJiYlHbMfw8HBOP/10XnjhBaKiooiMjOSFF14gIyOjxU2vx4qxNHhE/Oiiiy5qdf11113nHfPUNKHwggULqKioICsri6uvvrpFAJLAds8999CnT58WE/WrXbuflStX8tJLL5Gfn09ycjKTJk3izDPP9L6vtu2eqqqqmDVrFsuWLaOkpIT4+HhOPfVUpk2bhsPh6c9S23YPX3/9Nffee2+L9ePHj+f6669vUzvW1tby4osvsmjRIp+J+hMTE7vkHBRQRURERCSgaAyqiIiIiAQUBVQRERERCSgKqCIiIiISUBRQRURERCSgKKCKiIiISEBRQBURERGRgKKAKiIiIiIBRU+SEpFuZeHChTz11FOHfP8Pf/gDgwcP7sKKfO3du5df/epXXHrppZx//vl+q6MzBeM5iUhgU0AVkW7puuuuo2fPni3Wp6en+6EaERHpTAqoItIt9erVi379+vm7DOlE9fX1GGOw2+3+LkVE/EwBVUSC1kUXXcQ555xDRkYGc+fOpaCggB49ejBt2jROPfVUn223b9/OK6+8wjfffENtbS09e/Zk0qRJTJgwwWe7iooK3njjDZYtW8b+/fsJDw+nX79+XH755aSlpflsO3fuXN577z1KS0vJyMjgiiuuIDs7+7A1Nw1huPvuu/niiy9YsmQJlmUxaNAgrrrqKuLj433Ob9q0aVx00UU+x7j++usZNGgQ119/fYtjLlq0iGXLltHQ0MDo0aO55pprqK6u5j//+Q+5ubmEhITwve99j0suucT7/PUmlmXx5ptv8uGHH1JaWkqvXr346U9/ytChQ322y8vL49VXX2XNmjVUVlbSo0cPzjnnHM4991zvNk3PCv/Vr37F1q1b+fzzzykuLubxxx9v8XMUkeOPAqqIdEtut5uGhgafdcYYbDbfez9XrFjB119/zUUXXYTL5eKDDz7gySefxG63c9JJJwGwe/du7rrrLqKjo7nyyiuJjIzks88+46mnnqKkpIQLLrgAgKqqKu6++2727t3LBRdcQP/+/amuruabb76hqKjIJ1jNnz+ftLQ0pk+fDsCsWbN46KGH+Pvf/054ePgRz+9f//oXw4cPZ8aMGezbt48XXniBv/71r/zhD3/o8M/sn//8J2PGjOHGG29ky5YtvPzyyzQ0NLB7927Gjh3LmWeeyZo1a3j77beJj49n8uTJPvu///77JCUlMX36dCzL4u233+bBBx/k3nvv9QbvnTt3cuedd5KYmMjll19ObGwsq1at4r///S9lZWX86Ec/8jnmSy+9RHZ2Nj/72c+w2WzExMR0+PxEJHgooIpIt/T73/++xTqbzcYrr7zis66srIyHHnqI2NhYAEaMGMHNN9/MSy+95A2or776KvX19fzhD38gMTHRu11lZSWvv/46Z511FuHh4bz77rvs2LGDO++8k5ycHO9njB07tkUtYWFh3H777d7AHBcXx+9+9zu++uqrFr23rTnxxBO56qqrvMvl5eW8+OKLFBcXe8+lvUaMGMHll18OQE5ODhs2bODzzz/n8ssv94bRnJwcVq9ezWeffdYioLrdbu68805CQkK8NV5//fXMmjWLu+66C4DnnnuOsLAw7rvvPm8Qz8nJob6+nrfeeouJEycSGRnpPWaPHj34zW9+06HzEZHgpYAqIt3Sr371qxaXgo0xLbYbMmSIT6Cz2WycfPLJvP766+zbt4+EhAS+/vprhgwZ4g2nTcaPH89XX33Fhg0bGDZsGKtWrSI1NdUnnB7KiBEjfHpze/fuDUBBQUGbzm/UqFE+yxkZGd79OxpQR44c6bOclpbG8uXLGTFiRIv1ubm5LfYfO3asN5yCJ4SPHDmSzz//HLfbTX19PWvXruWss87C5XL59HAPHz6c999/n++++47hw4f7HFNE5GAKqCLSLaWlpbXpJqnWwlzTurKyMhISEigrKyMuLq7Fdk3jPcvKygAoLS1tEWIP5cBeQgCn0wlAbW1tm/aPioo6qv3bUlPTGNPW1rf2OYf6WdbX11NdXU11dTUNDQ28//77vP/++63W0PSzbNLaz11ERAFVRIJacXHxIdc1hcCoqCiKiopabLd//36f7aKjo9m3b9+xKbQDnE4n9fX1LdYfHAI7y6F+lg6Hg9DQUOx2OzabjXHjxnHOOee0eozk5GSf5dZ6vUVE9CQpEQlqa9eu9QlWbrebL774gh49epCQkAB4hgGsXbvWG0ibfPrpp7hcLu8NQMOGDSMvL4+1a9d2Wf2Hk5SUxLZt23zWrV27lurq6mPyeUuXLvXpWa2qqmLlypUMHDgQm82Gy+Vi8ODBbNmyhd69e9OvX78WXwf3DIuItEY9qCLSLe3YsaPFXfwAKSkpREdHe5ejoqK47777+OEPf+i9i3/Xrl3ceOON3m1+9KMf8eWXX3Lvvfcybdo07138X375JZdeeqn3Zp9JkybxxRdf8Oijj3LhhReSlZVFbW0t69atY8SIEQwZMuSYn/eBxo0bx6xZs5g1axaDBg1i586dvP/++22aJaAjbDYb999/P5MnT8btdvP2229TVVXlc2f+lVdeyV133cXdd9/N2WefTVJSElVVVeTn57Ny5cqjmoVARI4fCqgi0i0d6nGnP//5zznjjDO8y6NGjaJXr1688sorFBYWkpKSwowZMzjllFO82/Ts2ZP/+7//4+WXX+bZZ5+ltraWtLQ0rrvuOp95UJvuTn/ttddYsGABr732GpGRkfTr148zzzzzmJ3roZx//vlUVlaycOFC3nnnHbKysrjpppv44x//eEw+79xzz6Wuro7//ve/lJSU0KtXL26//XZOOOEE7zbp6ek88sgjvPHGG7zyyiuUlJQQERFBamqqz81RIiKHYyzLsvxdhIjIsdA0Uf/VV1/t71JERKQdNAZVRERERAKKAqqIiIiIBBRd4hcRERGRgKIeVBEREREJKAqoIiIiIhJQFFBFREREJKAooIqIiIhIQFFAFREREZGAooAqIiIiIgFFAVVEREREAooCqoiIiIgEFAVUEREREQko/x8ypcQlVpDxvQAAAABJRU5ErkJggg==", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 1.85e-02\n", + " final error(valid) = 7.47e-02\n", + " final acc(train) = 9.98e-01\n", + " final acc(valid) = 9.78e-01\n", + " run time per epoch = 1.68\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.50\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 2.05e-02\n", + " final error(valid) = 9.07e-02\n", + " final acc(train) = 9.97e-01\n", + " final acc(valid) = 9.75e-01\n", + " run time per epoch = 1.63\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=1.00\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 3.41e-02\n", + " final error(valid) = 1.26e-01\n", + " final acc(train) = 9.93e-01\n", + " final acc(valid) = 9.64e-01\n", + " run time per epoch = 1.66\n" + ] + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "learning_rate = 0.2 # learning rate for gradient descent\n", + "\n", + "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n", + "final_errors_train = []\n", + "final_errors_valid = []\n", + "final_accs_train = []\n", + "final_accs_valid = []\n", + "\n", + "for init_scale in init_scales:\n", + "\n", + " print('-' * 80)\n", + " print('learning_rate={0:.2f} init_scale={1:.2f}'\n", + " .format(learning_rate, init_scale))\n", + " print('-' * 80)\n", + " # Reset random number generator and data provider states on each run\n", + " # to ensure reproducibility of results\n", + " rng.seed(seed)\n", + " train_data.reset()\n", + " valid_data.reset()\n", + "\n", + " # Alter data-provider batch size\n", + " train_data.batch_size = batch_size \n", + " valid_data.batch_size = batch_size\n", + "\n", + " # Create a parameter initialiser which will sample random uniform values\n", + " # from [-init_scale, init_scale]\n", + " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + " # Create a model with two affine layers\n", + " hidden_dim = 100\n", + " model = MultipleLayerModel([\n", + " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n", + " ])\n", + "\n", + " # Initialise a cross entropy error object\n", + " error = CrossEntropySoftmaxError()\n", + "\n", + " # Use a basic gradient descent learning rule\n", + " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + " plt.show()\n", + "\n", + " print(' final error(train) = {0:.2e}'.format(stats[-1, keys['error(train)']]))\n", + " print(' final error(valid) = {0:.2e}'.format(stats[-1, keys['error(valid)']]))\n", + " print(' final acc(train) = {0:.2e}'.format(stats[-1, keys['acc(train)']]))\n", + " print(' final acc(valid) = {0:.2e}'.format(stats[-1, keys['acc(valid)']]))\n", + " print(' run time per epoch = {0:.2f}'.format(run_time * 1. / num_epochs))\n", + "\n", + " final_errors_train.append(stats[-1, keys['error(train)']])\n", + " final_errors_valid.append(stats[-1, keys['error(valid)']])\n", + " final_accs_train.append(stats[-1, keys['acc(train)']])\n", + " final_accs_valid.append(stats[-1, keys['acc(valid)']])" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n", + "|------------|--------------------|--------------------|------------------|------------------|\n", + "| 0.1 | 1.87e-02 | 7.73e-02 | 1.00 | 0.98 |\n", + "| 0.2 | 1.85e-02 | 7.47e-02 | 1.00 | 0.98 |\n", + "| 0.5 | 2.05e-02 | 9.07e-02 | 1.00 | 0.98 |\n", + "| 1.0 | 3.41e-02 | 1.26e-01 | 0.99 | 0.96 |\n" + ] + } + ], + "source": [ + "j = 0\n", + "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n", + "print('|------------|--------------------|--------------------|------------------|------------------|')\n", + "for init_scale in init_scales:\n", + " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n", + " .format(init_scale, \n", + " final_errors_train[j], final_errors_valid[j],\n", + " final_accs_train[j], final_accs_valid[j]))\n", + " j += 1" + ] }, { "cell_type": "markdown", @@ -481,10 +1633,247 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.10\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 5.52e-03\n", + " final error(valid) = 8.77e-02\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.77e-01\n", + " run time per epoch = 1.95\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.20\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 5.21e-03\n", + " final error(valid) = 8.95e-02\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.76e-01\n", + " run time per epoch = 1.92\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.50\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 7.20e-03\n", + " final error(valid) = 1.02e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.74e-01\n", + " run time per epoch = 1.96\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=1.00\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 1.73e-02\n", + " final error(valid) = 1.31e-01\n", + " final acc(train) = 9.98e-01\n", + " final acc(valid) = 9.66e-01\n", + " run time per epoch = 1.92\n" + ] + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "learning_rate = 0.2 # learning rate for gradient descent\n", + "\n", + "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n", + "final_errors_train = []\n", + "final_errors_valid = []\n", + "final_accs_train = []\n", + "final_accs_valid = []\n", + "\n", + "for init_scale in init_scales:\n", + "\n", + " print('-' * 80)\n", + " print('learning_rate={0:.2f} init_scale={1:.2f}'\n", + " .format(learning_rate, init_scale))\n", + " print('-' * 80)\n", + " # Reset random number generator and data provider states on each run\n", + " # to ensure reproducibility of results\n", + " rng.seed(seed)\n", + " train_data.reset()\n", + " valid_data.reset()\n", + "\n", + " # Alter data-provider batch size\n", + " train_data.batch_size = batch_size \n", + " valid_data.batch_size = batch_size\n", + "\n", + " # Create a parameter initialiser which will sample random uniform values\n", + " # from [-init_scale, init_scale]\n", + " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + " # Create a model with three affine layers\n", + " hidden_dim = 100\n", + " model = MultipleLayerModel([\n", + " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n", + " ])\n", + "\n", + " # Initialise a cross entropy error object\n", + " error = CrossEntropySoftmaxError()\n", + "\n", + " # Use a basic gradient descent learning rule\n", + " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + " plt.show()\n", + "\n", + " print(' final error(train) = {0:.2e}'.format(stats[-1, keys['error(train)']]))\n", + " print(' final error(valid) = {0:.2e}'.format(stats[-1, keys['error(valid)']]))\n", + " print(' final acc(train) = {0:.2e}'.format(stats[-1, keys['acc(train)']]))\n", + " print(' final acc(valid) = {0:.2e}'.format(stats[-1, keys['acc(valid)']]))\n", + " print(' run time per epoch = {0:.2f}'.format(run_time * 1. / num_epochs))\n", + " \n", + " final_errors_train.append(stats[-1, keys['error(train)']])\n", + " final_errors_valid.append(stats[-1, keys['error(valid)']])\n", + " final_accs_train.append(stats[-1, keys['acc(train)']])\n", + " final_accs_valid.append(stats[-1, keys['acc(valid)']])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n", + "|------------|--------------------|--------------------|------------------|------------------|\n", + "| 0.1 | 5.52e-03 | 8.77e-02 | 1.00 | 0.98 |\n", + "| 0.2 | 5.21e-03 | 8.95e-02 | 1.00 | 0.98 |\n", + "| 0.5 | 7.20e-03 | 1.02e-01 | 1.00 | 0.97 |\n", + "| 1.0 | 1.73e-02 | 1.31e-01 | 1.00 | 0.97 |\n" + ] + } + ], + "source": [ + "j = 0\n", + "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n", + "print('|------------|--------------------|--------------------|------------------|------------------|')\n", + "for init_scale in init_scales:\n", + " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n", + " .format(init_scale, \n", + " final_errors_train[j], final_errors_valid[j],\n", + " final_accs_train[j], final_accs_valid[j]))\n", + " j += 1" + ] }, { "cell_type": "markdown", @@ -495,10 +1884,249 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.10\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 2.03e-03\n", + " final error(valid) = 1.35e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.73e-01\n", + " run time per epoch = 2.25\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.20\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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U1dXxxz/+kTPPPJOePXty7rnn8vrrrx/xvR76EX9hYSG33XYbPXv25Mwzz+Sjjz5qdEznzp0ZPHgw06dPb9HPtaUcx/XsQc5mDIO6RTF/cwnLd5VzyqkpEBMHJUWweT00LOAvIiJyAquus7h+in+uz5hyfSZhDtPs9hMmTODTTz/lqaeeIiMjg8WLFzNmzBi6dOnibfPEE0/w8MMPk56eTnR0NABTp07l1ltv9Qa3vLw8brnlFq677jqef/55Nm7cyH333UdoaCh//OMfvec69DiAxYsXc9VVV3mf9+rVi+zsbD766COfj+SnT5/OVVddhTEGt9tNcnIyr7zyCp07d2bZsmXcf//9dO3alSuuuKJZ7/3ee+9l165dTJkyhZCQEMaNG0dhYWGjdqeeeipLlixp1jlbSwH1GA3uFlkfUPdz+6CumKxTsJb+F2vdqgN3mBIREZGAV1FRwWuvvcaUKVM47bTTADjppJP49ttveeedd7jpppsAuO+++zjvvPN8ju3evTsPPfSQ9/nTTz9Nt27dePLJJzHG0KtXL/Lz8xk/fjz33nuvd27poccB7Nixg8TERJ9to0aNYtKkSd6AumnTJnJycnj++ecBcDqd/OlPf/K2T09PZ9myZXzyySfNCqibNm1i/vz5fPLJJwwaNAiAZ599lvPPP79R26SkJHbs2HHUcx4LBdRjNDDJs9zU9pIa9uyvJT6rPyz9L9b6HOBGf5cnIiLid6F2w5TrM/322s2Vm5tLVVWV96P2BrW1tfTv39/7PDs7u9GxAwYM8Hm+ceNGBg8ejDEHXv/000+nvLycvLw8UlJSmjwOoKqqitDQUJ9tV155JU888QTLly9n8ODBTJs2jX79+pGZeeDn+tZbb/Huu++yY8cOqqqqqK2tpV+/fs167xs3bsThcPjU06tXL2JiYhq1DQsLo7KyslnnbS0F1GMUFWrn5Phw1hRUsnzXfn6SlY0FsDkXq7oac8gfMBERkRONMaZFH7P7S8OSTm+99RZJSUk++0JCQti2bRsAERERjY4NDw/3eW5Zlk84bdh2tOPAM8+zpKTEZ1tiYiJDhw5l+vTp3jmgN998s3f/jBkzeOyxxxg3bhynnXYakZGRvPzyy3z//fdHesuNaju05qYUFxf7THk4HnSRVBtouJr/u7xy6JoMsV2gzgWb1vq5MhEREWmuzMxMQkND2blzJxkZGT5fDSOezdW7d2+WLVvmE0qXLVtGVFQUycnJRzy2X79+5OY2nrM7atQoZsyYwbJly9i2bRtXXnmld9/SpUsZPHgwo0ePpn///mRkZHgDdXP06tULl8vFypUrvds2btzYKCgDrFu3rtkjs62lgNoGBnXzrIeak1+Oy21hvMtNrfZnWSIiItICUVFR/OpXv+LRRx/l/fffZ+vWraxevZpJkybx/vvvt+hct912G7t27eKhhx5i48aNzJkzh2effZa77rrrqGubXnDBBXz77beNtl9++eXs37+fBx98kKFDh/oE3e7du5OTk8OCBQvYtGkTzzzzjE/YPJpevXpx4YUXct999/Hdd9+Rk5PDfffd511J4GBLly5tcm5qW1JAbQMZcaHEhTuocln8sKfSe/W+Zx6qiIiIdBT3338/9957Ly+88AIXXHABN954I59//jnp6ektOk9ycjJvv/02K1asYPjw4TzwwAPccMMN/P73vz/qsVdffTW5ubmNlpXq1KkTF198MWvWrOHqq6/22XfLLbdw2WWX8Zvf/Iaf/vSnFBUVcdttt7Wo5r///e9069aNa665hjvvvJObbrqJ+Ph4nzbLli2jrKyMESNGtOjcLWWsli4QFuAKCgqora1t99f9x+I85m0q4YqT47gj3cL9l7vAbsf23GRMWOP5JXJ0xhiSk5PJy8tr8Tp2EtjUt8FJ/Rq8WtO3paWl3iWYpOWeeOIJSktLeeaZZ477azmdzmZnp7vuuov+/fszZsyYI7Y7XP87nU4SEhKO+joaQW0jDR/zf7erHOIToXMC1NXBRs1DFRERkZYZM2YMqamp1NXV+bsUr+rqavr27csvf/nL4/5aCqhtpGG5qR2lNewpr/WugarbnoqIiEhLRUdHM2bMGOx2u79L8QoNDWXs2LFNrjzQ1hRQ20hkiJ0+CZ4OW76rHE5WQBURERFpDQXUNuRdbmrX/gN3kdq2Eauqwo9ViYiIiHQsCqhtaHD9PNSV+RXUxsZ75qK63bBhjZ8rExEREek4WnUnqTlz5jBjxgyKi4tJTU1l9OjR9OnTp8m2S5YsYe7cuWzduhWXy0VqairXXnstAwcO9LZZsGABL730UqNj33nnHUJCQlpTol+cFBtKl3AHeytd/LCnkgFZp2AV7sZatwpzymn+Lk9ERKRdNXU3JQl+DXfkOhYtDqiLFi1i0qRJ3HnnnWRlZTFv3jzGjx/PxIkTG62VBbB27Vqys7O54YYbiIyM5Msvv2TChAmMHz+ejIwMb7vw8HCef/55n2M7UjgFzzIcg7pF8vmmEpbv3M+Ak0+Br+dpHqqIiJxwQkNDqaysbPK2oBK83G43ZWVlREZGHtN5WhxQZ86cyUUXXcSwYcMAGD16NCtXrmTu3LnceOONjdqPHj3a5/mNN97IsmXLWL58uU9ANcYQGxvb0nICzuBuUZ6AuqucX5ybjQXw42asiv2YiCh/lyciItIuQkNDKS8vp6SkRKOoAS4kJISampo2O19kZCQOR6s+pPdq0dEul4vNmzdz1VVX+WzPzs5m/fr1zTqH2+2msrKSqCjfsFZVVcXdd9+N2+2me/fuXH/99T4B9lC1tbU+i8oaY7zLHvjzF2FgciR2A7vKatjtjCYhsRvs3gUb1mIGDvFbXR1RQz/qL7bgo74NTurX4NXavj3033oJPMYYkpKSyM/PD6gbbLQooJaWluJ2u4mJifHZHhMTQ3FxcbPOMXPmTKqrqznrrLO827p168bdd99Neno6lZWVzJ49m3HjxvG3v/3N5z6zB5s2bRoffPCB93lGRgYTJkxo1t0JjreBqXtYvr2YjfvtdB94BuVzphGxYxNxl13p79I6pKSkJH+XIMeJ+jY4qV+Dl/o2eAVa37Zq/LWp/0E1539VCxcuZOrUqdx3330+ITczM5PMzEzv86ysLP785z/z6aefcscddzR5rlGjRjFy5MhGr19QUIDL5Wr2ezkeTokPYfl2mL92J2en9wRg//LFVI3M82tdHU2g/q9Ojp36NjipX4OX+jZ4tXffOhyOZg0mtiigRkdHY7PZGo2WlpSUNBpVPdSiRYt45ZVX+MMf/kB2dvYR29psNnr27El+fv5h2zidTpxOZ5P7/P3LM6hbJJO+h1W7K6ge3g8nwI4tuPeXYiI7+bW2jsiyLL/3qRwf6tvgpH4NXurb4BVofduidVAdDgc9evQgJyfHZ3tOTg5ZWVmHPW7hwoW8+OKLjBkzhkGDBh31dSzLYtu2bR32oqn0mBDiIxzU1FmsqQ6FpFSwLMj9wd+liYiIiAS8Fi/UP3LkSL744gvmz5/Pjh07mDRpEoWFhQwfPhyAyZMn88ILL3jbN4TTW2+9lczMTIqLiykuLqai4sDdlaZOncqKFSvYvXs3W7du5eWXX2br1q1ccsklbfAW258xxntXqWW7yjG67amIiIhIs7V4DurQoUMpKyvjww8/pKioiLS0NB588EHvfIKioiIKCwu97efNm0ddXR1vvPEGb7zxhnf7+eefzz333ANAeXk5r776KsXFxURERJCRkcFjjz1Gr169jvX9+c2gbpHM2Vjsve2pteBTrHU5Rz9QRERE5ARnrECacNAGCgoKfJaf8peK2jpu+WADLje8dGE8SY94Lvay/f1tTKcjz9cVD2MMycnJ5OXlBdS8GDl26tvgpH4NXurb4NXefet0Opt1kVSLP+KX5olw2umb4Ll7xnelNuiW7tmRu9qPVYmIiIgEPgXU42hwiuc2X8t3lWOyNA9VREREpDkUUI+jQfUXSq3eXUFNZn1AXaeAKiIiInIkCqjHUVp0CF0jHdS6LVbF1l/wlbcdq7TIv4WJiIiIBDAF1OPIGOMdRf2uyA2p3QGw1mseqoiIiMjhKKAeZ4O6eeahfrerHOo/5kcf84uIiIgclgLqcZadGInDZsjfX0tejwEAWLkKqCIiIiKHo4B6nIU7bfTrGg7A8rA0MAbyd2IV7/VzZSIiIiKBSQG1HTTc9vS7wlpI6wFoHqqIiIjI4SigtoPB9fNQV++ppDoz27NR66GKiIiINEkBtR2kRIeQGOXE5bZY1a1+Huq6HD9XJSIiIhKYFFDbgTGGQcn1V/PbE8DYoCAfa1+BnysTERERCTwKqO3ktJT6eah7arBO6gloHqqIiIhIUxRQ28kpiRE4bYY95bXs7H26Z+N6fcwvIiIicigF1HYS6rDRLzECgO/j+wBgacF+ERERkUYUUNvRafVX8y93RYPNBnv3YBXu9nNVIiIiIoFFAbUdDapfD3XN3moqM+pHUTUPVURERMSHAmo76tbJSVKUE5cbVvU8y7NR81BFREREfCigtiNjjHfR/u87NdxRahWWZfmzLBEREZGAooDazhpue7q8IhTL7oB9hVCQ7+eqRERERAKHAmo7658YQYjdUFhZx/b65aYs3fZURERExEsBtZ2FOmz071q/3FT6aZ6NCqgiIiIiXgqofjA4pf62pyEpgOahioiIiBxMAdUPGuahri23UREaCcX7YPcuP1clIiIiEhgUUP0guVMI3To5cVmQk3UeoHmoIiIiIg0UUP2kYdH+7xNP8WxQQBUREREBFFD9pmE91O/ogoXmoYqIiIg0UED1k4blpvbWGn6MSYPSYsjf4e+yRERERPxOAdVPQuw2Tkn0LDf1Xa+zAbDW6WN+EREREQVUP2q4mv+72EwArPU5/ixHREREJCAooPpRwzzUde5Iyu1hsH41ltvt56pERERE/EsB1Y+SOoWQEh1CnWXISegD+0shb7u/yxIRERHxKwVUPxvUcDX/SacDmocqIiIiooDqZ6c1rIcacVL9clOahyoiIiInNgVUP+vXNZxQu2Gf5WRrZDLk/qB5qCIiInJCU0D1M6fdRnZS/cf8XftDeRns2OrfokRERET8SAE1ADRczf99twEAWLmahyoiIiInLkdrDpozZw4zZsyguLiY1NRURo8eTZ8+fZpsu2TJEubOncvWrVtxuVykpqZy7bXXMnDgQJ92ixcvZsqUKezevZvExERuuOEGhgwZ0pryOpyGC6XWORMod4QRuW4VXHyln6sSERER8Y8Wj6AuWrSISZMmcfXVVzNhwgT69OnD+PHjKSwsbLL92rVryc7O5sEHH+Tpp5+mX79+TJgwgS1btnjb5Obm8txzz3Heeefxt7/9jfPOO4+JEyeyYcOG1r+zDiQxKoTU6BDcGFbG9a6fh1rn77JERERE/KLFAXXmzJlcdNFFDBs2zDt6Gh8fz9y5c5tsP3r0aK688kp69epFcnIyN954I8nJySxfvtzbZtasWWRnZzNq1ChSUlIYNWoU/fv3Z9asWa1/Zx1Mw8f83yX0h8py2L7lKEeIiIiIBKcWfcTvcrnYvHkzV111lc/27Oxs1q9f36xzuN1uKisriYqK8m7Lzc1lxIgRPu0GDBjA7NmzD3ue2tpaamtrvc+NMYSHh3sfdzSnpXTi43VFfB9/Mm4MtvWrMN17+7ssv2rox47Yn3Jk6tvgpH4NXurb4BWofduigFpaWorb7SYmJsZne0xMDMXFxc06x8yZM6muruass87ybisuLiY2NtanXWxs7BHPOW3aND744APv84yMDCZMmEBCQkKz6gg0XRLcjP/vTopqw9kalUzfrRtISE72d1kBISkpyd8lyHGivg1O6tfgpb4NXoHWt626SKqplN2c5L1w4UKmTp3Kfffd1yjkHsqyrCOec9SoUYwcObLR6xcUFOByuY5aSyDKTgxnyY79fNf5ZHqs+oZdO3Zg7HZ/l+U3xhiSkpLIz8/Hsix/lyNtSH0bnNSvwUt9G7zau28dDkezBhNbFFCjo6Ox2WyNRjZLSkqOGjgXLVrEK6+8wh/+8Aeys7N99jU1Wnq0czqdTpxOZ5P7Ouovz6BukZ6AmtCXa36cj7VtI2Rk+rssv7Msq8P2qRyZ+jY4qV+Dl/o2eAVa37boIimHw0GPHj3IyfG9HWdOTg5ZWVmHPW7hwoW8+OKLjBkzhkGDBjXan5mZyapVvmt/5uTkkJl5YoWzwfW3Pc2NSqPMEY61TuuhioiIyImnxVfxjxw5ki+++IL58+ezY8cOJk2aRGFhIcOHDwdg8uTJvPDCC972DeH01ltvJTMzk+LiYoqLi6moqPC2ufzyy1m5ciXTp09n586dTJ8+nVWrVjW6cCrYJUQ6SY8JwW0MK+MysdbnHP0gERERkSDT4jmoQ4cOpaysjA8//JCioiLS0tJ48MEHvfMJioqKfNZEnTdvHnV1dbzxxhu88cYb3u3nn38+99xzDwBZWVmMHTuW9957jylTppCUlMTYsWPp3fvEu4p9ULcofizZx/ddsjhn4wwslwvjaNVUYREREZEOyViBNOGgDRQUFPgsP9XR5OSXM+6L7cTU7ueNr/8HxwMTMD1P9ndZfmGMITk5mby8vICaFyPHTn0bnNSvwUt9G7zau2+dTmezLpJq8Uf8cnz1SYggzGGjxBnFlqhuWOv0Mb+IiIicWBRQA4zTbhiYHAHA8i4nY63XhVIiIiJyYlFADUANV/N/3zkLNq3F6sBTFkRERERaSgE1AA3qFglAbvRJlLkdsHWDnysSERERaT8KqAEoPsLJSbGhWMaworOWmxIREZETiwJqgBpcP4r6XecsLdgvIiIiJxQF1AB18DxU96b1WLU1fq5IREREpH0ooAaokxPCiXDaKA2JYlN4V9i83t8liYiIiLQLBdQA5bAZBiQ1fMyv5aZERETkxKGAGsC881C7ZCmgioiIyAlDATWANSw3tbFTGiU/7sCqqfZzRSIiIiLHnwJqAOsS4aR7bCiWsbEiugdsWufvkkRERESOOwXUAHfgY/6TtdyUiIiInBAUUAPc4BTPclMrOmfiyl3t52pEREREjj8F1AB3cnw4EQ4oc0ayqbACq7rK3yWJiIiIHFcKqAHObjMM7NYJgO9ie8PGtX6uSEREROT4UkDtAHxue7o+x8/ViIiIiBxfCqgdwKD6255ujE6nKHeDn6sREREROb4UUDuAzuEOekTbAVhR7sSqqvBzRSIiIiLHjwJqBzEoLRaA7+KyYIPmoYqIiEjwUkDtIE6rn4e6onNvXDnf+rkaERERkeNHAbWDyIwPJ9Jusd8ZyYYVa7F2/ujvkkRERESOCwXUDsJuM5yaGg3AvMTB1E1+Gcuy/FyViIiISNtTQO1AhvWIAeCL5CFMq0rAWrzAvwWJiIiIHAcKqB3IoG5R3DGoKwDv9Licz778Hqtiv5+rEhEREWlbCqgdzJV9OnNt31gAXk3/CV9Nm+PfgkRERETamAJqB3TTwER+klCHZWw85z6Z5Sty/V2SiIiISJtRQO2AjDH8anhfznXtpM5m5+lVNfywWx/1i4iISHBQQO2gbMbw+58OZFBRLjU2B0988SOb91X5uywRERGRY6aA2oE5O3fh/pPt9C3eTIVl49EvfmRXaY2/yxIRERE5JgqoHVzYhT/hwaIvySjbSUmNm0fm/0hhRa2/yxIRERFpNQXUDs7Y7XS64ReMy3mdbhUF7Cl38cgX2ymtcvm7NBEREZFWUUANAqbnycSdeTYPr3yNLrVl7Cit4bEvd1BRW+fv0kRERERaTAE1SJirb6Wrs45Hvn+FaONi474qxv9nJzV1bn+XJiIiItIiCqhBwkRFY66+jdSKAsatfJ1wh2HV7gr+d+Eu6tyWv8sTERERaTYF1CBizr4Yep5Mz32b+UvZQpw2w5Id+/nH4jzclkKqiIiIdAwKqEHE2GzYbvoNGBv9lnzMfSdVYTPw5ZZS3li+B0shVURERDoAR2sOmjNnDjNmzKC4uJjU1FRGjx5Nnz59mmxbVFTEW2+9xebNm8nPz+eyyy5j9OjRPm0WLFjASy+91OjYd955h5CQkNaUeMIyaRmYi0ZgffEJp816mTG3j+e5JXuYub6ITqF2fn5KvL9LFBERETmiFgfURYsWMWnSJO68806ysrKYN28e48ePZ+LEicTHNw4/tbW1REdHc/XVVzNr1qzDnjc8PJznn3/eZ5vCaeuYK2/CWvY17NnF+es+p/y04by2bA/v5hQSFWJjZFZnf5coIiIiclgt/oh/5syZXHTRRQwbNsw7ehofH8/cuXObbN+1a1duv/12zj//fCIiIg57XmMMsbGxPl/SOiY8AnPdHQBYs6cyonMNN2R7/vPw2rI9LNhS4s/yRERERI6oRSOoLpeLzZs3c9VVV/lsz87OZv369cdUSFVVFXfffTdut5vu3btz/fXXk5GRcdj2tbW11NYeuGOSMYbw8HDv4xOdbch5uL+ai7UuB+u9V7n+t+PYX1PHJ+uKeP6bPCJD7AxJ7eTvMo+ooR/Vn8FHfRuc1K/BS30bvAK1b1sUUEtLS3G73cTExPhsj4mJobi4uNVFdOvWjbvvvpv09HQqKyuZPXs248aN429/+xvJyclNHjNt2jQ++OAD7/OMjAwmTJhAQkJCq+sINrVjHyb/tz/HyllGlx838NDI83Hb1zLrh3ye+WoX/++aAQxOj/N3mUeVlJTk7xLkOFHfBif1a/BS3wavQOvbVl0k1VTKPpbknZmZSWZmpvd5VlYWf/7zn/n000+54447mjxm1KhRjBw5stHrFxQU4HLpNp8AOEIxl4zCmj2VwpcmYE8+iTsHxFJQsp+lO/Zz70creeLidHp3Cfd3pU0yxpCUlER+fr5WIAgy6tvgpH4NXurb4NXefetwOJo1mNiigBodHY3NZms0WlpSUtJoVPVY2Gw2evbsSX5+/mHbOJ1OnE5nk/v0y3OAufw6rCX/gb17cM+cgu3qW7nvnG48/uUOVu2u4NH523lqeDppMaH+LvWwLMtSnwYp9W1wUr8GL/Vt8Aq0vm3RRVIOh4MePXqQk5Pjsz0nJ4esrKw2K8qyLLZt26YLpdqACQ3F9vNfAmDNnY6Vt50Qu42/nJ9C7y5hlFXX8cj87ezZX3uUM4mIiIi0jxZfxT9y5Ei++OIL5s+fz44dO5g0aRKFhYUMHz4cgMmTJ/PCCy/4HLN161a2bt1KVVUVpaWlbN26lR07dnj3T506lRUrVrB79262bt3Kyy+/zNatW7nkkkuO8e0JgBl4BgwYAnUu3P/3CpZlEeG08/AFqaRGh7C3wsUj83+kuEpTI0RERMT/WjwHdejQoZSVlfHhhx9SVFREWloaDz74oHc+QVFREYWFhT7H3H///d7HmzdvZuHChSQkJPDiiy8CUF5ezquvvkpxcTERERFkZGTw2GOP0atXr2N5b3IQ2/V34l6zAtavwlr6X8wZ5xMd5uCxYWk8OHcbu8pqeXT+dp68OJ3IELu/yxUREZETmLECacJBGygoKPBZfkoOcM96H2v6OxATh+3xlzARkQDsKq3hgc+3UVJVR9+EcB69KI1Qh//vgmuMITk5mby8vICaFyPHTn0bnNSvwUt9G7zau2+dTmezLpLyfwqRdmMuGQWJKVBShDVjsnd7t+gQHr0wjUinjTUFlUz4aie1dfoLSERERPxDAfUEYpxObDf+CgBr/iysHzd59/XoHMZDF6QSYjcs31XO89/sos6tkCoiIiLtTwH1BGP6DsScfi5Ybs8FU263d1/frhE8cG4KdgNfbSvjtWW79VGOiIiItDsF1BOQue4OCAuHzeuxvp7ns29wShT3Du2GAT7dUMz/rSxs+iQiIiIix4kC6gnIxHbBXHkjANaHb2KVlfrsP7d7NL8ekgjA1B/2Mn3t3navUURERE5cCqgnKHPhSEjtDuVlWNPearT/J73juGWg5yq7f39XwLxNxe1boIiIiJywFFBPUMZux3bTrwGwvpqLtWldozY/69uZUX06A/Diknw++mGv5qSKiIjIcaeAegIzvfpizr4YAPc7L2PV1fnuN4bbTk3gst6xuC14c0UBT3+1k/KauqZOJyIiItImFFBPcOZnt0FEFOzYgrVgduP9xvCr0xP5zZBEHDbD4u37+dNnW9lWXO2HakVEROREoIB6gjOdYjA/uxUAa/o7WMX7Grcxhp/0juOp4enERzjYVVbLfZ9t5T9bStq7XBERETkBKKAK5pxLICMTqiqxpv7rsO0y48OZeFl3BiRFUF1n8fdFebz6bb7uOiUiIiJtSgFVMDYbtpt+A8aGtfS/WGtXHrZtdJiDRy5M49p+XQCYlVvMX+f9SGFFbXuVKyIiIkFOAVUAMCf1xFxwGQDuya9guQ4fOO02w80DE/jr+SlEOm2sL6zkD7O3kpNf3k7VioiISDBTQBUvc9VNEB0L+Tux5k4/avshqZ149rLuZMSFUlJdxyPzt2spKhERETlmCqjiZSKiMNfeDoA1awrW3j1HPSa5UwgTLjmJi3pEaykqERERaRMKqOLDnHEBZPaHmhrc773WrGNCHTbGnJmspahERESkTSigig9jjOcOU3Y7rFiCtXJps4/TUlQiIiLSFhRQpRHTLR1z8ZUAuN99Fau6+SOhDUtRDdRSVCIiItJKCqjSJDPyeugcD3v3YH06tUXHRoc5ePjCNK7rr6WoREREpOUUUKVJJiwc2/W/BMCa8xFW/o4WHW+3GW4aoKWoREREpOUUUOXwTj0TTjkNXC7ck//ZquWjtBSViIiItJQCqhyWMQbbz38JDiesXYn13zmtOo+WohIREZGWUECVIzJdkzFX3QyA9d6rWNs2tuo8WopKREREmsvh7wIk8JlLrsLa8AOsXIr7lQnYHpqIiYxq+Xnql6Lq2TmMp/+707sU1T1nJHF+RsxxqFxERCT41bktat0WtXUN393exzV1Fi7vY7e3nathn9ticE0oqSH+fhe+FFDlqIwx2G4fi/uJe6FwN+5/P4ft7r9gbK0bgO/dxbMU1bNf72JFfgV/X5TH+sJKbh+UiNNu2rh6ERGRtmVZFnUWTQbCxt8PhMIm9x3puINDZv2+mvptrjq397H7GC/rKHU7uaVfdNv8cNqIAqo0i4mMwvbrB3A/fT+sXIo1dxrmJz9r9fkalqJ6b1Uh76/ey6zcYjbuq+b+c7sRH+Fsw8pFREQ8LMuivNZNaVUdpdV1lFa7PN+r6iip9mwrq3ZRXnMg/HlGGw99fuyh8HixGXDYDCF2g9NmcNoNTrvtwGOf7zZC7IY+SYEVTkEBVVrAnNQTc8Mvsd5+CWva21g9sjCZ/Vt9voalqDK7hDPxm13epaj+dE43spMi27ByEREJRrV1bkqr6yjxBk7f0Fla7QmeZVUHth+P+8bYDM0IgwdCoc+2gx6H2Dz7HA3P6/c57IaQI523fl+I3WC3teyTSGMMycnJ5OXltf0P5hgooEqLmHMvhQ1rsBYvwP3q37CNew4TE3dM5zw9NYq//6Q7T3+1ky1F1Twyfzu3DEjg6n5d2qhqERHpCBpGOPdWuNhbUcveCpdnZLPKdVAArfOG0iqXu1WvE+awER1qJybMTnTowV8OosPsRIbYvGHxSIGwYVtLQ6EcnQKqtIgxBm6+G+vHzbDrR9yv/S+2ex/H2O3HdN6k+qWoXvk2n/mbS3lzRQHr91Yy/qqENqpcRKRjcVsWRZUu9uyvJX9/LbvLa9m9v5aK2jpiQh3EhHkCVsPj2DBPuOoUYg/IwOS2LEqr63zCZ2ETj6tbOMRpM3jCZqiDTvWBMybUTidvAHUcCKD1+0PsWsQo0CmgSouZ0DDPfNQn/wDrV2HNmIwZdcsxn7dhKaqs+HBeW7aHxdv3c/ELX5EY5SQ1OoSU6FBSo0NIjQkhNTqUTqHHFopFRPytvKaO3fs9wXN3ec2Bx/tr2VNeS00rPo824B0djAlzeL/Hhh783BNoY8LshDtsnsGHY1Dntiiuahw491W4KKyoZW+li70VLlzNnLjZKdROfISDzuEOYsIc3tAZHVYfPA8KnZEhx16/BB4FVGkVk5yKufW3WK/9L9bsqVg9T8Zkn37s5z1oKaq/f53HrrIa8spqySur5dudvrdJjQm1kxIdQlpMKCnRId7wmhDpxKa/rEQkANTWWRSUe0Y/88tq2FNePxq6v5Y9+2soqznyR9Q2A/ERTpKinHSN8nyPCrHXf8Ttorj+4p6SKhclVXWUVddhgWdbdR2U1By1RqfNHAixh4zKxoQ5iAm1ExvuYHddMeu3l1BYfsjoZ6WLokpXsy4aMkBsmJ0uEU66RDg8ITTCSXyEo/65k87hDkIdGuE80RkryO45WVBQQG1trb/LOGG4J/8T68tZEBGF7eHnMF26tun5Q6K7sHzDdnaUVLOjtMbzVVJNYYXr8MfYDSnRIQdCa3QoqTEhdOsUor/0AsTBk/KD7K+gE9qJ2K9Nfwx/YCR0b4WLo/0kYkLt3vCZGBVCYpSTxPrnXSKcOFrwcX2d26Ksuo7iKld9cD0oyHq3ecJs8THM4WyKzUDncAddDgmcXSIcdKnfHhfu0HKCAaa9f2+dTicJCUefvqcRVDkm5to7sLbkwtYNnkX8738a42ybZaKMMcRHhZKdFMkpiRE++ypr3ewqq2F7STU764PrzpIadpbVUFNnsaWomi1FvnepMkBCpJO0mIbw6pkykBITQkyoXR8RiZwA3JZFtcui2uWmyvtlUeVyU+1yU+lyU93o+YE2VQc9r6h1U1BeS+1Rhg5D7aY+dB4In4lRThIjPdvCnW33H2e7zRAb7iA2vHn/vFe73J4QW90QWl3eUFtSVUfxQYE2ItRJTIjxjnx2iTg4jDqJCQ3Mua/SMSmgyjExTie2X/8Z9+NjYesGrKlvYG789XF/3XCnjZ6dw+jZOcxne53bYk95LTtKatheWh9eS2rYUVrN/ho3e8o987qW7/KdLtApxOaZ41ofXlOiQ0jpFEJiVIj+ty/SDizLswC558uz5mS1y7PAeY3Lorp+W8P+ateBdg1tDw6ThwbQhuctvQCnORo+hj84fCY1hNFIJzFhgfsf4FCHja5RNrpGHXlg4UQcHRf/UkCVY2a6dMV25x9w/7/Hsb6cjbtXX2xDzvNLLXabIblTCMmdQjidA7djtSyLkuo6dpZ4Rlu3l1Z7HxeU11JW42ZdYSXrCit9zmczkBjlpFsnT2j1fo8OoUu4I2D/0RFpCbd1YPHxgxci99yt5pBtdRa1bneT7V1uCNlUyb7iUqpdbp+w6fPYJ3Ae2N/ewhyGUIeNMIeNMLuNMOdhntvrtzkNYQ4bofXPw5024iMcxEe27GN4ETk6BVRpE+aU0zCXX4c1+32st17ASsvAJKf5uywvYwyxYQ5iwxz0O2S6QLXLfWCaQGk120tqyCurYVdZDVUuy3uR1qGjrqF2Q7eDQmtDgO0WHUJUiFYYkLZhWRbVdRaVtW4qat1U1rqpdNUd8rz++yGPaw4KmN7v7gO3T2wInG2bDQuO+Qw2AyF2G6H1C5WHODx3uzl4m7PhscOzPcxhI9ThCZANX4c+PziQhtiNLqYUCWAKqNJmzJU3YG1aC+tX4X75aWx/fRYTGnb0A/0s1GGjR+cwehwyXcCyLPZVuthZ6gmrO0tr2FX/OH+/Z62+pua6woEVBrodFFpTokNIjnLi1Pp7J4w6t0VhRS3FVXWNg2T984pa332Hhs4ql7vdb6nosB24k03DYuQOm+9i5Y6Dt9d/D7HbiOkUiauqEqfdEGq31QfIg8Ol77aQ+sB5oK1No5Ei0rqAOmfOHGbMmEFxcTGpqamMHj2aPn36NNm2qKiIt956i82bN5Ofn89ll13G6NGjG7VbvHgxU6ZMYffu3SQmJnLDDTcwZMiQ1pQnfmJsdmy//BPu/7kX8rZjvf0i/OIPHfZjcGNM/VIozka3XnW5LfL3Hwisu0pr2VkfYosq66+ULahkTUHjKQMJkU1MGegUQnykQyM6HZDbsthb4ar/c3Bg9H1Xmedq7ra6SNrgmXsdXv/RsvfLYSPioMfhThsRTjthDt9bKh41cB7UrrW/s5qnKCJtpcUBddGiRUyaNIk777yTrKws5s2bx/jx45k4cSLx8fGN2tfW1hIdHc3VV1/NrFmzmjxnbm4uzz33HNdffz1Dhgxh6dKlTJw4kccff5zevXu3/F2J35iYOGx3/Qn3sw9hLfkP9O6HOf8n/i6rzTlspn4VgNBG+ypq68grq/WOuO6sDy47S2uodLm9y898n+c7ZSDMYegRF0bvLmH07hJO7y5hJEY5O2zADyaWZVFUVef9D0lDCM0rrSVvf80R5086bYa4cDvhDjthTt8weWiwDG8iaDY8D3O0PjiKiHQ0LQ6oM2fO5KKLLmLYsGEAjB49mpUrVzJ37lxuvPHGRu27du3K7bffDsCXX37Z5DlnzZpFdnY2o0aNAmDUqFGsWbOGWbNmMXbs2JaWKH5mMvtjrr4V64NJWO+9itW9F+akXv4uq91EOO307GxvtMKAZVmUVNWx86DQ2jB1IH+/Z77rGu+oaxHguZtKr84NodUTXOOauXyMtIxVfxvGhptD7DxoNDSvrPaI60Xajed2vd06OUnudGBaR7dOIXSJ0Mi4iEhLtehfOpfLxebNm7nqqqt8tmdnZ7N+/fpWF5Gbm8uIESN8tg0YMIDZs2cf9pja2lqfBfmNMYSHh3sfi3/ZLr0a98a1WCuW4H5lAvZxz2Eio45+4EEa+jFY+tMYQ1yEjbgIJ/0PmTJQ57bYWVrDhr2VbNhbxYa9lWwpqqasuo7v88p9RlvjIxzeEdbeXcLp1SWMyA52UZY/+3Z/fQjdVXbwFA1PGC2vPXwItRnoGukJoA3TMpLrv3eNdGr9R4Lvd1YOUN8Gr0Dt2xYF1NLSUtxuNzExMT7bY2JiKC4ubnURxcXFxMbG+myLjY094jmnTZvGBx984H2ekZHBhAkTmnV3Amkf7gefJn/MzdTt3onz/14iftyzGFvLLxBKSko6DtUFntQUOOOg5zUuNxsK9rMmv7T+q4wtheUUVrgorCjjm+1l3rYndY6gb1In+iZF0y85msyuUYQ6Aiu0utxuSipdFFXUUFJVy9Yte3G5HfVLFLnrryj3fHc1LFvU8PygZY0OPHY30c73HLUHtalzuz0Ljlce/k5zBkiMDiUtNoL0uAjS4sJJ7+z5nhITrgvcmulE+Z09Ealvg1eg9W2rPitsKmW3dfK2LOuI5xw1ahQjR45s9PoFBQW4XIe/Daa0s7v+BE/dT9XSr9g16SVsl/2s2YcaY0hKSiI/P/+EveCiM3BOkp1zkuKAOCpq69i8r8o7yppbWMWe8lq27atg274KPl2zG/B85HxSbCiZ8eH0qh9tTY8JbdNRvtq6hjvQ1FFa7aK04XHDnWgaHlfXUVpVx/6auqPe8rG9dA53eEdCk+s/mu8WHUJSVFO3w62F6loK95T6pdaORL+zwUt9G7zau28dDkfb3+o0Ojoam83WaGSzpKSk0ahqSzQ1Wnq0czqdTpyHuaWmfnkCSHpPzA2/xHr7JdzT3oIemZjM/i06hWVZ6tN64Q4b/bpG0K/rgbVcS6pcbNx7ILRu2FdFSVUdm4uq2VxUDRuKAc+6rT07h9HroIuwkg66CKvK5RlhLK2/f3dp/S0ODzx3HbS9jspWXJ5u8Myr7RRqJzIsBKvOhd14riB3GM+NFhqWOPI8xrPfZ1v9dpvBUX9sQxu7Dd+23v2e7eFOG0lHubWk/qwdO/3OBi/1bfAKtL5tUUB1OBz06NGDnJwcnyWgcnJyOP3001tdRGZmJqtWrfIZEc3JySEzM7PV55TAYc69FDasxVr8Je5X/4Zt3HOYmDh/lxU0YsIcDE6JYnCKZ46vZVkUVrjI3VvpDa4b91ZR6XI3vggrxLNoeUl1Xavu5GM3EB1qJzrMQUyonegwe/33g587vNujQjz36tZyRCIiciQt/oh/5MiR/OMf/6BHjx5kZmYyb948CgsLGT58OACTJ09m3759/Pa3v/Ues3XrVgCqqqooLS1l69atOBwOUlNTAbj88st55JFHmD59Oqeffjrffvstq1at4vHHH2+Dtyj+ZoyBm3+D9eMm2PUj7tf+F9u9j2PsgTVHMlgYY0iIdJIQ6eTs9GjAs1an5yKsKjburSR3b5XnIqwaN2U1B0ZCnTZzmJBpJybMQXSo777IEFvATawXEZGOr8UBdejQoZSVlfHhhx9SVFREWloaDz74oHc+QVFREYWFhT7H3H///d7HmzdvZuHChSQkJPDiiy8CkJWVxdixY3nvvfeYMmUKSUlJjB07VmugBhETGobt1w/gfvIPsH4V1ozJmFG3+LusE4bNGNJiQkmLCeWiHp6pM7V1Fj+WVONyW94gGu5Q4BQREf8zVpB9vlZQUOCz/JQEFvfS/2K99r8A2H43DpN9+Kkh+hg4eKlvg5P6NXipb4NXe/et0+ls1kVSWjNF2pVtyHmYCz1r3rrfmIhVuNvPFYmIiEigUUCVdmeuvQMyMqFiP+5/PoOlEW8RERE5iAKqtDvjdGL71f0QEQVbN2BNfcPfJYmIiEgAUUAVvzBdumK78w8AWF/Oxr3kP36uSERERAKFAqr4jTnlNMzl1wFgvf0iVt52P1ckIiIigUABVfzKXHkDnJwN1VW4X34aq7rK3yWJiIiInymgil8Zmx3bL/8IMZ0hb7tnJFVLmIiIiJzQFFDF70x0HLa7/gQ2G9aS/2D9d46/SxIRERE/UkCVgGAy+2OuvhUA671XsbZt9HNFIiIi4i8KqBIwzCWjYOAZ4HJ55qOW7/d3SSIiIuIHCqgSMIwx2G7/PcQnwt49uP81Ecvt9ndZIiIi0s4UUCWgmIgobL9+ABxOrJVLKXn7Zd1pSkRE5ASjgCoBx5zUE3PDLwEoe//f1D14J+7PP9YSVCIiIicIh78LEGmKOfdSDGBmf0Dd3j1Y77+BNft9zLCfYi4ciYmM8neJIiIicpxoBFUCkjEG2/mXkfzGdGy3/Q66JsP+MqyPJ+P+8y9wfzAJq6TI32WKiIjIcaARVAloxhmC7dxLYOhFWMsXYc2eCju2Ys35COuLTzDnXIy5ZBQmIcnfpYqIiEgbUUCVDsHY7JjTz8U67RxYtQz37KmwaR3Wgk+x/jsHM+R8zGU/w3RL93epIiIicowUUKVDMcZA9unYTjkNcn/wBNU132Mt/hJr8Zdw6pnYLrsWk9Hb36WKiIhIKymgSodkjIGs/tiz+mNt24h79gfw/Tfw/WLc3y+GPgOwXX4tZJ3iaSsiIiIdhgKqdHjmpF7Yf/MAVt52rE8/xFqyANauxL12JfTI8gTV7NMVVEVERDoIXcUvQcMkp2G7Yyy2J/+JufBycDhh83rcLzyB+7ExuJf8B6uuzt9lioiIyFEooErQMfGJ2G78NbanX8f85GcQFg47t2G9/izucb/B/d85ujuViIhIAFNAlaBlYuKw/ew2bE+/gbnyJojqBAX5WG+/iPsvv8Q9dzpWVaW/yxQREZFDKKBK0DORUdhGXu8JqtffCbFdoHgf1tR/4X7gTtyfvIdVXubvMkVERKSeLpKSE4YJDcNcfAXW+Zd5lqX67EPYk4c1YzLWnGmY83+CGX4lJrazv0sVERE5oSmgygnHOJ2Ycy/BOnuY792p5k7Dmj8Tc/YwzIjrMXFd/F2qiIjICUkBVU5Yh7071X8+w1r8H8xVN2EuHIGx2/1dqoiIyAlFAVVOeI3uTvXRm7B5PdaU17EWfYHt5rsxPbL8XaaIiMgJQxdJidQzxmCy+mP78wTMLXdDRBRs34L76ftxv/MSVvl+f5coIiJyQlBAFTmEsdmwnfcTbP/zEuasC8GysP7zmWcN1cVfYlmWv0sUEREJagqoIodhomOx3XEvtj89CclpUFaC9cZE3M8+hJW3w9/liYiIBC0FVJGjMFmnYHv4OcyoW8AZAutXeW6dOu0drJpqf5cnIiISdBRQRZrBOJzYLr8W22MvwCmnQZ0La/b7uB/9Hdaq5f4uT0REJKgooIq0gElIwva7cdh+8wDExUNBPu7/9xh1rzyNVbTX3+WJiIgEBQVUkRYyxmAGDcX2+AuY4VeCzQbLF+EedzfueR9j1dX5u0QREZEOTQFVpJVMWAS2636B7aGJ0CMLqiuxpryB+8k/YG1a5+/yREREOiwFVJFjZNIy6tdOvefA2qkT/oz7ba2dKiIi0hqtupPUnDlzmDFjBsXFxaSmpjJ69Gj69Olz2PZr1qzhzTffZMeOHcTFxXHFFVdwySWXePcvWLCAl156qdFx77zzDiEhIa0pUaRdGZsNc96lWKeeiTX131jfzMf672dY33+DufYOzJkXeO5YJSIiIkfV4oC6aNEiJk2axJ133klWVhbz5s1j/PjxTJw4kfj4+Ebt9+zZw1NPPcWwYcP43e9+x/r163n99deJjo7mzDPP9LYLDw/n+eef9zlW4VQ6GtMpBnPHWKyzL8b9fy9D3nasf03E+noetpt+g0lO9XeJIiIiAa/FH/HPnDmTiy66iGHDhnlHT+Pj45k7d26T7efOnUt8fDyjR48mNTWVYcOGceGFF/LJJ5/4tDPGEBsb6/Ml0lGZrP6etVOvvhVCtHaqiIhIS7QooLpcLjZv3syAAQN8tmdnZ7N+/fomj9mwYQPZ2dk+2wYOHMjmzZtxuVzebVVVVdx99938+te/5umnn2bLli0tKU0k4BiHE9tl12B79JC1Ux/5LdaqZf4uT0REJGC16CP+0tJS3G43MTExPttjYmIoLi5u8pji4uIm29fV1VFWVkZcXBzdunXj7rvvJj09ncrKSmbPns24ceP429/+RnJycpPnra2tpba21vvcGEN4eLj3sXR8Df3Y0fvTdE3GjHkY6/vFuN99FQp34/5/j2MGD8V2/S8xnRtPjQl2wdK34kv9GrzUt8ErUPu2VRdJNfUmjvTGDt1nWZbP9szMTDIzM737s7Ky+POf/8ynn37KHXfc0eQ5p02bxgcffOB9npGRwYQJE0hISGj+G5EOISkpyd8ltI1uV+O+6CeU/t+rlH38LtbyRbjXrCDmpl8RdcX1GHurfh07tKDpW/Ghfg1e6tvgFWh926J/EaOjo7HZbI1GS0tKShqNkjaIjY1t1L60tBS73U5UVFSTx9hsNnr27El+fv5haxk1ahQjR470Pm8IuwUFBT5TB6TjMsaQlJREfn6+9z81QWHE9dizh1D3zktYm9ZR/PpEiudMx37z3ZieJ/u7unYRtH17glO/Bi/1bfBq7751OBzNGkxsUUB1OBz06NGDnJwchgwZ4t2ek5PD6aef3uQxvXv3Zvly33uVr1y5kh49euBwNP3ylmWxbds20tLSDluL0+nE6XQe9ngJHpZlBV+fpnbHdv/TWF/Pw/pgEmzfQt1T90FGJuac4ZjTz8WER/i7yuMuKPtW1K9BTH0bvAKtb1t8Ff/IkSP54osvmD9/Pjt27GDSpEkUFhYyfPhwACZPnswLL7zgbX/JJZdQWFjoXQd1/vz5zJ8/n5/+9KfeNlOnTmXFihXs3r2brVu38vLLL7N161aftVJFgo2x2bCdewm2J17GnH0x2O2wJRfr7Rdx/+k23P9+HmvDmoD6C0NERKQ9tHjS29ChQykrK+PDDz+kqKiItLQ0HnzwQe9wbVFREYWFhd72Xbt25cEHH+TNN99kzpw5xMXFcfvtt/usgVpeXs6rr75KcXExERERZGRk8Nhjj9GrV682eIsigc10isGMHoN19S1Y3yzAWvg55O/AWvQF1qIvIDEFc/bFmKEXYWLi/F2uiIjIcWesIBueKSgo8Lm6XzouYwzJycnk5eWdUKOIlmXBpnVYCz/HWrYQqqs8O2w2OOU0bOcMh1NOw9jt/i30GJyofRvs1K/BS30bvNq7b51OZ9vPQRWR488YA736YHr1wfr5nVjfLsT6eh5sWgcrl+JeuRRi4jBnXeQZWU1K8XfJIiIibUoBVSSAmbAIzLmXwLmXYOVt94yqfvMllBRhffYh1mcfQu++ngurBp+NCQ3zd8kiIiLHTAFVpIMwyWmYa+/AGnUL5HyLe+E8WP0dbFjjuZjq3VcxQ87DnDMcuvcOuEWXRUREmksBVaSDMQ4nDBqKfdBQrKK9noupvp4HBflY/52D9d85kHIS5pyLMWdciOkU7e+SRUREWkQBVaQDM3FdMCOuw7rsGshd7ZkC8N03sHMb1pQ3sD54EzPwDMw5F0PfgRhbx72wSkREThwKqCJBwNhscHI25uRsrIr9WEv+61mu6sdNWMu/xlr+NXSOxwwd5vlKCKxb2omIiBxMAVUkyJiIKMyFl8OFl2P9uNkzqrrkP7CvEGvmFKyZU6DPAM8KAIPOwjhD/F2yiIiIDwVUkSBm0ntgbvwV1rW3Y32/2DOqunYlrF2JtXYlVkQUZtBZ0PdUTJ9sTJTmq4qIiP8poIqcAIwzBDPkPBhyHlbhbqyvv8BaNM8zqrrwc1j4OZYxkN4T0+9UTN+B0PNkzwVZIiIi7UwBVeQEY+ITMVfeiPXT62HdKqxVy7HWroCd22DbRqxtG7FmT4WQUMg6BdN3AKbvqZCcpqWrRESkXSigipygjM3uubK/70AArOK9WGtWwprvsdasgLISWLUMa9UyLIDYzp6g2ncgps8ATHSs/4oXEZGgpoAqIgCY2C6YoRfB0Iuw3G7PUlVrVmCt+R42rIHifViLvoBFX3gCa1oGpm/9dIDefXWxlYiItBkFVBFpxNhsngCalgGXjsKqqYaNa7EaRle3b4HtW7C2b8Ga8xE4Q6B3P0zfgZh+AyGlu6YDiIhIqymgishRmZBQ3+kApUVYa3Pgh+8981eL99VPDfge6wMgOtbTto/nGBPb2Y/Vi4hIR6OAKiItZqLjMGecD2ecj2VZkLe9fnR1JaxfBaXFWIsXwOIFnukAKSdh+tSPrvbujwkL8+8bEBGRgKaAKiLHxBgD3dIx3dLh4iuxamth8zqsH+qnA/y4yTOfdec2rHkfg8OB1asvRVn9cEdGQ0IydE2GLl0xdt2KVUREFFBFpI0Zp9OzPFXWKXD1rVj7Sz3TAdauwPrhe9hXgLUuh/3rcnwPtNuhSyIkdsN09YRWz/duCq8iIicYBVQROa5MVDTm9HPg9HM80wF274INPxBZXsL+zRuwdu+CgnyorYE9u2DPLs+0APB+94bXrsmYxG6QkIxJbBh5TVR4FREJMgqoItJujDGQlIJJTiU2OZnKvDwsy/Isa1W8F/bkYe3Z5fm+Ow8K8mBPnm94Xb0cODS8dq0fce3m850uXTEO/TUnItLR6G9uEfE7Y7NB5wTonIA5Odtnnye87vOE0z15B30/OLx6Hlt85zmm4WCbzRNeE7thEpIhORXTvTekZnimIoiISEBSQBWRgOYJr/HQOf7w4bUgzzNV4KARWAryoKbGM32gIN932oDDAWk9MD2yICMTk9HbM21Aa7eKiAQEBVQR6bB8wmvWKT77LLcbSooOjLju3oW1cxtsyYXyMtiSi7Ul19MWIKoTdM/EZGRiemR6gmtkp/Z/UyIiooAqIsHJ2GwQ1wXiuviEV8uyPCOum3Nh6waszeth+2bYXwarl2OtXn5gikDXZExGJmRkeUKrpgaIiLQLBVQROaEYY6BrN8+FVGdeAOBZu3XHFk9o3bLeM7LaMK91Tx4s+Y+mBoiItCMFVBE54Rmnsz5wZgIjAbD2l9aPsNZPBdDUABGRdqOAKiLSBBMVDf0HY/oPBo5xakByGiYs3G/vRUSko1FAFRFphuZNDdhQv17rIVMDAELDIDoWYjpDTCwmpjPExEFMHCYmDqLjIDYOoqIxNt14QERObAqoIiKt1OTUgIZpAA1TA7bmekZZq6u8S17BQWu1HvIYmw06xUJMLMR0xjSE2tg4THScN9QSE4cJCW2X9yki0t4UUEVE2pCJ7OQzNQDAqqr0LHlVUoRVUgSlRVCyD0qKseq/U7IP9peC212/bx+w+fBBFiA8whNWo+tHYRu+ouMwsXGe28N2ScA4tPKAiHQsCqgiIseZCQuHsHDPHa2O0M6qq4OyYt8w2/C49MBjSoo8d9CqrPB85e9sFF69z42B2C6QkIjpkgjxiZCQhImvfxwT51mSS0QkgCigiogECGO3e8JkbBfP88O0syzLE0zrR2Ot4n1QWuw7Klu8D/bugZpqKCqEokIsfjhwjoYHDifEd4X4xPrQelB4TUjEREQdz7csItIkBVQRkQ7GGAMRkZ6v5NQjB9myYijYjVW4G+q/vI/3FYCrFvJ3+ozC+ozGRkR6wmp8IiY+6UCQTUiELl0xzpDj+l5F5MSkgCoiEqSMMZ7VAaLjMD1PbrTfqqvzhNTCJgJsQT6UlUBFOfy4GX7c3HSAje18ILwmJLI/oxfumloIi/DMkfV+RUJIqG5qICLNooAqInKCMnY7JCR55qQ2sd+qroLCPfWhNd83vBbugepKz1SC4n1YG9cCUHSkF7TZGgfXsAhMeCRERDTaZ8Ijm27v0D9dIsFOv+UiItIkExoGKemQkt4owFqW5Vk+66DwSuFuQqsqqCraB5XlBy7iqqwAy+1ZoaBiv+fr4HMd5vUPt52QEM+IbPhBoTY0zDPdwOEEZwg4m/juCPE+NgfvazgmJKRxW4dDo74ifqCAKiIiLWaMgU7R0Ckak9Hbuy0hOZm8vDxPgK1nWZbnYq3KcqisPBBeqyqwKg489oTZcqyGNlWVvkG3ptpzwpoaz1eJ73jtYQNtE1rSlqbCrDf4Hgi0xuk8EHIdTYVkz5c5NDQ3FYzrz6WbNsiJSgFVRESOK2OM505aoWEQe8i+FpzHcrkOCrIVB0JuZbknvNbWepbfOvi7q8b72Dp4n6uJtrU1nvY1Nb4vXFt/DsqPXF9z30cL3jN2+xHC7oHH5rAjx4e0dTSMHjezrUaPxU9aFVDnzJnDjBkzKC4uJjU1ldGjR9OnT5/Dtl+zZg1vvvkmO3bsIC4ujiuuuIJLLrnEp83ixYuZMmUKu3fvJjExkRtuuIEhQ4a0pjwREQlCxuGAqGjP18Hb2/h1LMuCOlfT4dVnW7XndrdNBd3amkOObQjINUdvX+c6UExdHdRVeub7Hqnmlry/lvwwDgq+u0LDqMOAwwF2R/13u6eNveGxwxOW7fYDbQ59fvD3Q7YZn33157bZDnyZgx7b7L77vG0O3X7guQJ3x9HigLpo0SImTZrEnXfeSVZWFvPmzWP8+PFMnDiR+Pj4Ru337NnDU089xbBhw/jd737H+vXref3114mOjubMM88EIDc3l+eee47rr7+eIUOGsHTpUiZOnMjjjz9O7969j/1dioiINJMxxhOMHE7P/NYjtT0Or2+566DWdWD0t+aQ0eCahhHgI4Rel+826+CR44NHmxuNJNfAQdMzcNV6viqhrrn1H8t7P4Zjm8WYJoJuE2HXNBGIG4612Q963FR70+h40+gcTZ3bftDx9edo+N5omzlwnLEd8r6a0bZ+mzEGy2ajps8pEBF99J9fO2pxQJ05cyYXXXQRw4YNA2D06NGsXLmSuXPncuONNzZqP3fuXOLj4xk9ejQAqampbNq0iU8++cQbUGfNmkV2djajRo0CYNSoUaxZs4ZZs2YxduzYVr41ERGRjsfY7BBqh9DQo7dt49f2jB7XHRgtrvGEVuOqJT4ulsL8fCxXLbhcnpFelwur7sBj7/bDPa9z1Z+/9qBjDzw/dD91Ls/FdQ1f1kGP3XW++xr2H/kNes7f7LjdNo578G6lhrrKR1wLo271ay2HalFAdblcbN68mauuuspne3Z2NuvXr2/ymA0bNpCdne2zbeDAgXz55Ze4XC4cDge5ubmMGDHCp82AAQOYPXt2S8oTERGRY+AZPa7/mD3Md3tIcjImKs53hJXjM4rcWpZlHRJijxBkD93m067O8z4Pbuv9bjU6j3WY7T7trTpwH1Lfoee03PVt6ttZ1kH7DmrjfZ9Nt/X5OVjWIe0P2WZZOJJT/N11jbQooJaWluJ2u4mJifHZHhMTQ3FxcZPHFBcXN9m+rq6OsrIy4uLiKC4uJjY21qdNbGzsYc8JUFtbS21trfe5MYbw8HDvY+n4GvpR/Rl81LfBSf0avDpK33rqs4EWP2g2YwydkpIoz8/3dyk+WnWRVFN/QI/0h/bQfQ3LjxzpGMuyjrh/2rRpfPDBB97nGRkZTJgwgYSEhMMeIx1TUlKSv0uQ40R9G5zUr8FLfRu8Aq1vWxRQo6OjsdlsjUY2S0pKGo2SNmhqJLS0tBS73U5UVNRh2xzpnOCZpzpy5Ejv84YwW1BQgMvlOtxh0oEYY0hKSiI/P99nTUXp+NS3wUn9GrzUt8GrvfvW4XA0azCxRQHV4XDQo0cPcnJyfJaAysnJ4fTTT2/ymN69e7N8+XKfbStXrqRHjx446m9Xl5mZyapVq3wCZ05ODpmZmYetxel04nQ6m9ynX57gYlmW+jRIqW+Dk/o1eKlvg1eg9a2tpQeMHDmSL774gvnz57Njxw4mTZpEYWEhw4cPB2Dy5Mm88MIL3vaXXHIJhYWF3nVQ58+fz/z58/npT3/qbXP55ZezcuVKpk+fzs6dO5k+fTqrVq1qdOGUiIiIiAS/Fs9BHTp0KGVlZXz44YcUFRWRlpbGgw8+6B2uLSoqorCw0Nu+a9euPPjgg7z55pvMmTOHuLg4br/9du8SUwBZWVmMHTuW9957jylTppCUlMTYsWO1BqqIiIjICchYgTSe2wYKCgp8ru6XjssYQ3IT9/WWjk99G5zUr8FLfRu82rtvnU5ns+agtvgjfhERERGR40kBVUREREQCigKqiIiIiAQUBVQRERERCSgKqCIiIiISUFp1q9NA1rD4vwQP9WnwUt8GJ/Vr8FLfBq/26tvmvk7QLTMlIiIiIh2bPuKXgFVZWcmf//xnKisr/V2KtDH1bXBSvwYv9W3wCtS+VUCVgGVZFlu2bNGi0EFIfRuc1K/BS30bvAK1bxVQRURERCSgKKCKiIiISEBRQJWA5XQ6ueaaa3A6nf4uRdqY+jY4qV+Dl/o2eAVq3+oqfhEREREJKBpBFREREZGAooAqIiIiIgFFAVVEREREAooCqoiIiIgEFN1UV/xq2rRpLF26lJ07dxISEkJmZiY333wz3bp187axLIupU6fyxRdfsH//fnr37s0vfvEL0tLS/Fi5tMS0adN49913ufzyyxk9ejSgfu3I9u3bxzvvvMOKFSuoqakhOTmZ3/zmN/To0QNQ33ZUdXV1TJ06la+++ori4mLi4uK44IILuPrqq7HZPONZ6tuOYc2aNcyYMYMtW7ZQVFTEn/70J4YMGeLd35x+rK2t5e233+brr7+mpqaG/v37c+edd9KlS5d2eQ8aQRW/WrNmDZdeeilPPvkkDz30EG63myeeeIKqqipvm48//phZs2Zxxx138NRTTxEbG8sTTzwRcLdlk6Zt3LiRefPmcdJJJ/lsV792TPv372fcuHE4HA7+8pe/8Pe//51bb72ViIgIbxv1bcf08ccf8/nnn/OLX/yCiRMncvPNNzNjxgw+++wznzbq28BXXV1N9+7dueOOO5rc35x+nDRpEkuXLuX3v/89jz/+OFVVVTz99NO43e52eQ8KqOJXf/3rX7ngggtIS0uje/fu3H333RQWFrJ582bA87+82bNnM2rUKM444wzS09O55557qK6uZuHChX6uXo6mqqqKf/zjH/zqV78iMjLSu1392nF9/PHHdOnShbvvvptevXrRtWtXTjnlFJKSkgD1bUeWm5vLaaedxqBBg+jatStnnnkm2dnZbNq0CVDfdiSnnnoqP//5zznjjDMa7WtOP1ZUVDB//nxuvfVWsrOzycjI4He/+x0//vgjOTk57fIeFFAloFRUVAAQFRUFwJ49eyguLmbAgAHeNk6nk759+7J+/Xq/1CjN9/rrr3PqqaeSnZ3ts1392nEtW7aMHj168Pe//50777yT+++/n3nz5nn3q287rpNPPpnVq1eza9cuALZu3cr69es59dRTAfVtsGhOP27evJm6ujqfv7s7d+5Meno6ubm57VKn5qBKwLAsizfffJOTTz6Z9PR0AIqLiwGIiYnxaRsTE0NhYWF7lygt8PXXX7NlyxaeeuqpRvvUrx3Xnj17+PzzzxkxYgSjRo1i48aN/Pvf/8bpdHL++eerbzuwK6+8koqKCu69915sNhtut5uf//znnHPOOYB+b4NFc/qxuLgYh8PhHSw6uE3D8cebAqoEjDfeeIMff/yRxx9/vNE+Y4zPc90ALbAVFhYyadIk/vrXvxISEnLYdurXjsftdtOzZ09uvPFGADIyMti+fTtz587l/PPP97ZT33Y8ixYt4quvvmLMmDGkpaWxdetWJk2a5L1YqoH6Nji0ph/bs68VUCUg/Otf/2L58uU89thjPlcIxsbGAnivKG1QWlra6H9/Ejg2b95MSUkJDzzwgHeb2+1m7dq1fPbZZzz33HOA+rUjiouLIzU11WdbamoqS5YsAfQ725G98847XHnllZx99tkApKenU1BQwPTp07ngggvUt0GiOf0YGxuLy+Vi//79PqOopaWlZGVltUudmoMqfmVZFm+88QZLlizh4YcfpmvXrj77u3btSmxsrM+kbJfLxZo1a9rtl0Ra7pRTTuF///d/eeaZZ7xfPXv25JxzzuGZZ54hMTFR/dpBZWVleecoNti1axcJCQmAfmc7surqau9yUg1sNpt31Ex9Gxya0489evTAbrf7tCkqKuLHH38kMzOzXerUCKr41RtvvMHChQu5//77CQ8P985tiYiIICQkBGMMl19+OdOmTSM5OZmkpCSmTZtGaGiod16UBJ7w8HDvPOIGoaGhdOrUybtd/doxjRgxgnHjxvHRRx8xdOhQNm7cyBdffMFdd90FoN/ZDmzw4MF89NFHxMfHk5qaytatW5k5cyYXXnghoL7tSKqqqsjPz/c+37NnD1u3biUqKor4+Pij9mNERAQXXXQRb7/9Np06dSIqKoq3336b9PT0Rhe9Hi/G0uQR8aPrrruuye133323d85Tw4LC8+bNo7y8nF69evGLX/yiUQCSwPboo4/SvXv3Rgv1q187nuXLlzN58mTy8/Pp2rUrI0aM4OKLL/buV992TJWVlUyZMoWlS5dSUlJC586dOfvss7nmmmtwODzjWerbjuGHH37gsccea7T9/PPP55577mlWP9bU1PDOO++wcOFCn4X64+Pj2+U9KKCKiIiISEDRHFQRERERCSgKqCIiIiISUBRQRURERCSgKKCKiIiISEBRQBURERGRgKKAKiIiIiIBRQFVRERERAKK7iQlIh3KggULeOmllw67/5FHHqFfv37tWJGvPXv28Nvf/pabb76ZK664wm91tKVgfE8iEtgUUEWkQ7r77rvp1q1bo+2pqal+qEZERNqSAqqIdEhpaWn07NnT32VIG3K5XBhjsNvt/i5FRPxMAVVEgtZ1113HpZdeSnp6OjNnzqSgoIDExESuueYazj77bJ+2P/74I++99x5r166lpqaGbt26MWLECC644AKfduXl5Xz44YcsXbqUffv2ERERQc+ePbn11ltJSUnxaTtz5kw+/fRTSktLSU9P57bbbiMzM/OINTdMYXj44Yf55ptvWLx4MZZl0bdvX+644w46d+7s8/6uueYarrvuOp9z3HPPPfTt25d77rmn0TkXLlzI0qVLqaur4/TTT+fOO++kqqqKf/3rX+Tk5BASEsI555zDjTfe6L3/egPLsvjoo4/4/PPPKS0tJS0tjZtuuolTTjnFp11eXh7vv/8+q1atoqKigsTERC699FJ+8pOfeNs03Cv8t7/9LVu3buXrr7+muLiYv//9741+jiJy4lFAFZEOye12U1dX57PNGIPN5nvt57Jly/jhhx+47rrrCA0NZe7cuTz//PPY7XbOPPNMAHbt2sW4ceOIjo7m9ttvJyoqiq+++oqXXnqJkpISrrzySgAqKyt5+OGH2bNnD1deeSW9e/emqqqKtWvXUlRU5BOs5syZQ0pKCqNHjwZgypQpPPXUU7z44otEREQc9f3985//5NRTT2XMmDHs3buXt99+m3/84x888sgjrf6ZvfLKKwwZMoSxY8eyZcsW3n33Xerq6ti1axdnnHEGF198MatWreLjjz+mc+fOjBw50uf4zz77jISEBEaPHo1lWXz88ceMHz+exx57zBu8d+zYwUMPPUR8fDy33norsbGxrFixgn//+9+UlZVx7bXX+pxz8uTJZGZm8stf/hKbzUZMTEyr35+IBA8FVBHpkP7617822maz2Xjvvfd8tpWVlfHUU08RGxsLwKBBg/jjH//I5MmTvQH1/fffx+Vy8cgjjxAfH+9tV1FRwQcffMDw4cOJiIhg1qxZbN++nYceeojs7Gzva5xxxhmNagkPD+eBBx7wBua4uDj+8pe/8P333zcavW3KgAEDuOOOO7zP9+/fzzvvvENxcbH3vbTUoEGDuPXWWwHIzs4mNzeXr7/+mltvvdUbRrOzs1m5ciVfffVVo4Dqdrt56KGHCAkJ8dZ4zz33MGXKFMaNGwfAm2++SXh4OI8//rg3iGdnZ+NyuZg+fTqXXXYZUVFR3nMmJibyhz/8oVXvR0SClwKqiHRIv/3tbxt9FGyMadSuf//+PoHOZrNx1lln8cEHH7B37166dOnCDz/8QP/+/b3htMH555/P999/T25uLgMHDmTFihUkJyf7hNPDGTRokM9o7kknnQRAQUFBs97faaed5vM8PT3de3xrA+rgwYN9nqekpPDtt98yaNCgRttzcnIaHX/GGWd4wyl4QvjgwYP5+uuvcbvduFwuVq9ezfDhwwkNDfUZ4T711FP57LPP2LBhA6eeeqrPOUVEDqWAKiIdUkpKSrMukmoqzDVsKysro0uXLpSVlREXF9eoXcN8z7KyMgBKS0sbhdjDOXiUEMDpdAJQU1PTrOM7dep0TMc3p6aGOaZNbW/qdQ73s3S5XFRVVVFVVUVdXR2fffYZn332WZM1NPwsGzT1cxcRUUAVkaBWXFx82G0NIbBTp04UFRU1ardv3z6fdtHR0ezdu/f4FNoKTqcTl8vVaPuhIbCtHO5n6XA4CAsLw263Y7PZOO+887j00kubPEfXrl19njc16i0iojtJiUhQW716tU+wcrvdfPPNNyQmJtKlSxfAMw1g9erV3kDa4L///S+hoaHeC4AGDhxIXl4eq1evbrf6jyQhIYFt27b5bFu9ejVVVVXH5fWWLFniM7JaWVnJ8uXL6dOnDzabjdDQUPr168eWLVs46aST6NmzZ6OvQ0eGRUSaohFUEemQtm/f3ugqfoCkpCSio6O9zzt16sTjjz/Oz372M+9V/Dt37mTs2LHeNtdeey3fffcdjz32GNdcc433Kv7vvvuOm2++2Xuxz4gRI/jmm2945plnuOqqq+jVqxc1NTWsWbOGQYMG0b9//+P+vg923nnnMWXKFKZMmULfvn3ZsWMHn332WbNWCWgNm83GE088wciRI3G73Xz88cdUVlb6XJl/++23M27cOB5++GEuueQSEhISqKysJD8/n+XLlx/TKgQicuJQQBWRDulwtzv91a9+xbBhw7zPTzvtNNLS0njvvfcoLCwkKSmJMWPGMHToUG+bbt268T//8z+8++67vPHGG9TU1JCSksLdd9/tsw5qw9XpU6dOZd68eUydOpWoqCh69uzJxRdffNze6+FcccUVVFRUsGDBAj755BN69erFvffey9/+9rfj8no/+clPqK2t5d///jclJSWkpaXxwAMPcPLJJ3vbpKamMmHCBD788EPee+89SkpKiIyMJDk52efiKBGRIzGWZVn+LkJE5HhoWKj/F7/4hb9LERGRFtAcVBEREREJKAqoIiIiIhJQ9BG/iIiIiAQUjaCKiIiISEBRQBURERGRgKKAKiIiIiIBRQFVRERERAKKAqqIiIiIBBQFVBEREREJKAqoIiIiIhJQFFBFREREJKAooIqIiIhIQPn/Ajw4NWV+n74AAAAASUVORK5CYII=", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 1.99e-03\n", + " final error(valid) = 1.17e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.75e-01\n", + " run time per epoch = 2.21\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.50\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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oI/r160fv3vv/XN944w3eeecdsrOzKS8vp6qqin79+jXou2/atAmHw+FTT8+ePYmNja2zbVhYGGVlZQ06blM1OqDOnj2b008/ndGjRwMwYcIEVq1axdy5c7nyyivrbD9hwgSf5SuvvJLly5ezYsUKb0D99NNPSU9PZ/z48YDnXwlr167l008/ZdKkSY0t0a+MMYw9Jp4Xl+zks84nM3b7Amy6zC8iIm2YMaZRl9n9pXZKpzfeeIOkpCSfz0JCQsjKygIgIiKizr7h4eE+y5Zl+YTT2nW/th94xnkWFhb6rOvYsSMjRoxg5syZ3jGgV111lffzWbNm8fDDDzNlyhSGDh1KZGQkL7/8Mj/++OPhvnKd2g6uuT4FBQU+Qx6OhkYFVJfLxebNm33GRYDnXxLr169v0DHcbjdlZWU+d41t2LCBMWPG+Gw3YMAAPvvss0Mep6qqiqqqKu+yMcbbyA35wz2aTu0Wyxsrc8kljmXtj+XEFQux9Rvk15pao9p29Hd7SvNT2wYntWvwaitt27t3b0JDQ9m+fTsnnnhinc9rA2pD9OrVi88++8wnqC5fvpyoqCiSk5MPu2+/fv3YsKHumN3x48fz+OOPM27cOLKyshg3bpz3s6VLlzJkyBCfjsHG1NuzZ09cLherVq1i0CBPZtm0aVOdoAzw888/N6hn9kj+e2lUQC0qKsLtdtfp7o2NjaWgoKBBx5g9ezYVFRU+DV9QUEBcXJzPdnFxcYc95kcffcT777/vXe7WrRtTp04lMTGxQXUcbRcPKue1xVnMTj2ZESvfJenOhzF23ZPWFAf/K1aCh9o2OKldg1dj2rasrAyn03kUq2l+8fHx3HzzzTz88MMYYxg+fDj79u1j6dKlREZG0rlzZ8Az3vPA72aMwW63+6y78cYbefXVV3nwwQe54YYb2LRpE8888wy///3vvZfv69sPYPTo0UyfPr3O+nHjxnHfffdx3333cdJJJ5GWlub9rEePHrz//vt89913dOnShRkzZrBq1SrS0tK8x7HZbBhjvMu15wfo27cvp59+OpMnT+bpp5/G4XDwwAMPEB4eXqfGZcuWcffddx+2fUNCQn41iB9OkxJTfYm4ISl5wYIFzJgxg7vuuqveMQ0Hqq9r/EDjx4/3mR+sdtvc3Nx65yRraSM7OXnDwNq47mxyR8A3X2LTZf5GMcaQlJTEzp07Gz1NiAQ2tW1wUrsGr6a0bWVlpc+VztbijjvuID4+nueff56tW7cSExPDcccdx6233urNFwdfxa2d5unAdQkJCbzxxhs8+uijvPXWW8TFxXH55Zdz6623ererbz/wBNFHHnmEdevW0bNnT+/6sLAw77RXzzzzjM9+V155JRkZGdx0000YYxg3bhzXXnst8+fP927ndnum3Tr4/LXf6emnn+bOO+/kwgsvJCEhgcmTJ7N9+3afGpcvX05RURHnnHPOYdu3srKSnJycOusdDkeDOhON1Yi/RVwuF1dddRW33367zx32r732GpmZmTz88MOH3HfRokW89NJL3H777d67w2r94Q9/YMyYMT6Bc/bs2Xz22We89NJLDS0P8ATUQPmFeHrBDr7NKuK0ncuZmFiA7Zo/+rukVsUYQ3JyMjk5OfqfXZBR2wYntWvwakrbFhUVeadgksZ79NFHKSoq4sknnzzq53I6nQ3OTjfddBP9+/dn4sSJh93uUO3vdDobFFAbNVG/w+Gge/fudZ7BmpGRQZ8+fQ6534IFC3jxxReZOHFinXAKnjEfq1f7PhY0IyPD58601mjsMfEAfNdhIPmrMzRpv4iIiDTIxIkTSU1N9fZwBoKKigqOPfZYfvvb3x71czX6SVJjx47lq6++Yv78+WRnZzNt2jTy8vI488wzAXj77bd54YUXvNvXhtNrrrmG3r17U1BQQEFBAaWlpd5tzjvvPFatWsXMmTPZvn07M2fOZPXq1XVunGpt+iSE06d9GC6bgzmx/WF9xq/vJCIiIm1eTEwMEydO9I4RDQShoaFMmjSp3pkHmlujx6COGDGC4uJiPvjgA/Lz8+ncuTP33nuvt7s2Pz/f56kD8+bNo7q6mldffZVXX33Vu37UqFHccsstAPTp04dJkybx7rvvMn36dJKSkpg0aVKrmwO1PmOPacf6hTv4IuVE/mf5IkKP1d38IiIiIofTqDGorUEgjUEFcLktbnr/Z/ZUGW7d8jGj771Tk/Y3kMazBS+1bXBSuwYvjUENbo0Zg9pQLToGVRrPYTOc29fzhK3ZCUOxftZlfhEREZHDUUBtAWf3bkeIVc2W6BTWrvjJ3+WIiIi0CPWkt021T+Q6EgqoLSAm1M4oTycqnxRGYgXAPK0iIiJHU2ho6FF/XrsEHrfbTXFxcb2Pg20MPdqohYwd1o0vv9jK0vg+7Fq9hqRBA/1dkoiIyFETGhpKSUkJhYWFQf+I1NYuJCSEysrKZjteZGQkDseRRUwF1BbStX0EA6y9rDLt+GzNTq7XzfwiIhLkIiMj/V2C/IpAvblRl/hb0Nie0QDMc3ektKz5/qUiIiIiEkwUUFvQkKF9SS7fS4kjnK+X/uzvckREREQCkgJqC7I7HIwJ8TzE4NNtVbgDqCtdREREJFAooLaw0YO6EOEqY7uJ5IfsIn+XIyIiIhJwFFBbWHjf/oze45msf/aP2X6uRkRERCTwKKC2MGO3c15iNcZy82OxnW2FFf4uSURERCSgKKD6QfLQIQzLWwvA7HV7/FyNiIiISGBRQPWH3v0Zu/dHAL7eUkhxRbWfCxIREREJHAqofmDsdvr3SqHLvh1UuA1fbirwd0kiIiIiAUMB1U9sQ09ibPYCAD7dkE+1W1NOiYiIiIACqv/07s8ppZuJqdxHXqmLxduK/V2RiIiISEBQQPUTY7cTOvB4zt6xGIBP1uf7uSIRERGRwKCA6kdm6EmcveN7HO5q1uWWsXFPmb9LEhEREfE7BVR/6t2fdqE2RuSuAmD2z+pFFREREVFA9SNjt2MGn+i9WWrB1iL2lrn8XJWIiIiIfymg+pkZchI9i7PpU7wNlxs+36BeVBEREWnbFFD9rXd/iI7l/K3fADBnYwGV1W7/1iQiIiLiRwqoflZ7mX943k8kWOUUVlTzXWaRv8sSERER8RsF1ABghpyE3XJzTvZCwDPllGVp4n4RERFpmxRQA0HNZf4zs74lxFhsya/gp92ackpERETaJgXUAFB7mT/aVcap1dsBmPXzXj9XJSIiIuIfCqgBwgw5CYAxP30CwNLsfewsrvRnSSIiIiJ+oYAaKGou83fes4WB0dVYwKeackpERETaIAXUAFF7mR9gbEEGAPN+KaS0qtqfZYmIiIi0OAXUAFJ7mX/gD7PpFO2ktMrN15s15ZSIiIi0LQqogaTmMr+tpJixMSUAzF6/F7emnBIREZE2RAE1gBx4mf/UrAVEOm3sKK7ihx0lfq5MREREpOUooAYYM/RkAMJ+XMgZ3WMATTklIiIibYsCaqDp3Q+iY6GkmPNsOdgMrNpZytaCCn9XJiIiItIiFFADjLHtv8zfYfUChqdGATB7vaacEhERkbZBATUA1V7mt35czNiesQB8vaWQogpNOSUiIiLBTwE1EB1wmf/YPRvpHh9KZbXF3E0F/q5MRERE5KhTQA1AxmbHDBnhWfhhIecf0w6Az9bn43JryikREREJbgqoAap20n7rx8WcnBJBbJidPWUuvt9a7OfKRERERI4uBdRAdcBlfufG1ZzbKw6AT9ZryikREREJbgqoAerAy/zWioWc0ysehw3W55WzPq/Mz9WJiIiIHD0KqAHswMv8cU44pYtn4v6/LthBluZFFRERkSClgBrIDrjMz88Z/GZAIklRTnaXVDF5ThZLsjUeVURERIKPAmoA87nMv3wBiZFOnjqnK8d1jKDc5eaJ/27ng5/2YFm6s19ERESChwJqgPNe5l+5BMvlIibUzkOnd+bcXnFYwBsrc3luUQ6V1W7/FioiIiLSTBRQA91Bl/kBHDbD749P4nfDOmIz8E1mEfd/uZW9ZS4/FysiIiJy5BRQA9zBl/kPdF7veB46vTNRITY27Cnnzi8y+WVvuT/KFBEREWk2CqitgBl6MuC5m99y+faSDkiK5K/ndCU1JoQ9pS7umZvFwqwif5QpIiIi0iwUUFuDXsdCTByU7oOfV9X5ODk6hCfP7sLg5Egqqy2eXLCDdzJycevmKREREWmFFFBbAWOzYwafCIC1fGG920SG2Hng1FTGHRMPwLur9/DUgh2Uu3TzlIiIiLQuCqitxOEu89ey2wzXD+nIrSck4bDBoq3F3Ds3i9ySqpYsVUREROSIKKC2Fr9ymf9AZ/SI439HpxEbamdzfgV3fpGpx6OKiIhIq6GA2kp4LvN77uZ3f/nxr07Of2yHCJ46pwtd4kIpKK/mvi+38vXmwpYoVUREROSIOJqy05w5c5g1axYFBQWkpqYyYcIE+vbtW++2+fn5vPHGG2zevJmdO3dy7rnnMmHCBJ9tvvnmG1566aU6+7711luEhIQ0pcSgZEaPxVo4D9auxPpuLmbk2YfdvmNUCFPP6sKzi3awJHsfz32fw9bCCq4akIjdZlqoahEREZHGaXRAXbRoEdOmTePGG2+kT58+zJs3j8cff5xnn32WhISEOttXVVURExPDRRddxKeffnrI44aHh/P888/7rFM49WWSUjEXXoU1499Y7/0b69iBmISOh90n3GnjnpEp/GdVHu//tIcP1+5lW2EFt5/UiQinvYUqFxEREWm4Rl/inz17NqeffjqjR4/29p4mJCQwd+7cerfv0KED1113HaNGjSIiIuKQxzXGEBcX5/MjdZkzzoeex0JFGe5p/4fl/vW79G3GcPXARG4fkYzTZli2vYS752Sxs7iyBSoWERERaZxG9aC6XC42b97MhRde6LM+PT2d9evXH1Eh5eXl3Hzzzbjdbrp27cpll11Gt27dDrl9VVUVVVX77043xhAeHu59H6yM3YG5fhLVD90K61fDN59hRp/foH1P7R5Hp5hQHv9vNlsLK7lzThb3jkyhf8fIo1x109S2YzC3Z1ultg1OatfgpbYNXoHato0KqEVFRbjdbmJjY33Wx8bGUlBQ0OQiOnXqxM0330xaWhplZWV89tlnTJkyhaeeeork5OR69/noo494//33vcvdunVj6tSpJCYmNrmOViM5meIb/kTBy09iffg6CaedgzMlraG70rdrCnd+lMG6XcVM+Wobk8/ozUUDUo5y0U2XlJTk7xLkKFHbBie1a/BS2wavQGvbJt0kVV/KPpLk3bt3b3r37u1d7tOnD3fffTeff/45119/fb37jB8/nrFjx9Y5f25uLq5DzBMaTKxBJ2GOScf6OYOdU+/HfvcTGFvDx5Q+clon/u/7HL7LKuKJuetZnbWbG4Z0DKibp4wxJCUlsXPnzl+dtUBaF7VtcFK7Bi+1bfBq6bZ1OBwN6kxsVECNiYnBZrPV6S0tLCys06t6JGw2Gz169GDnzp2H3MbpdOJ0Ouv9rE388hiDmTAR66Fb4Zd1uOd+jO3s8Q3ePcRuuOOkZNJiQ/hPRh6z1+eTXVjBXSenEBUaWDdPWZbVNtq0DVLbBie1a/BS2wavQGvbRt0k5XA46N69OxkZGT7rMzIy6NOnT7MVZVkWWVlZulHqV5j2HTCX3gCANfMtrB1bG7e/MVx6XAL3nJJCqN2wcmcpd83JIruo4miUKyIiItIgjb6Lf+zYsXz11VfMnz+f7Oxspk2bRl5eHmeeeSYAb7/9Ni+88ILPPpmZmWRmZlJeXk5RURGZmZlkZ2d7P58xYwYrV65k165dZGZm8vLLL5OZmclZZ511hF8v+JmTz4TjhoKrCve/n8Oqrm70MU5Mi+YvZ3UhIcLBjuJKJn+RxY85JUehWhEREZFf1+gxqCNGjKC4uJgPPviA/Px8OnfuzL333usdT5Cfn09eXp7PPpMnT/a+37x5MwsWLCAxMZEXX3wRgJKSEv75z39SUFBAREQE3bp14+GHH6Znz55H8t3aBGMMtmtuwf3nP0LWJqzP38eMvazRx+neLoynz+nKE99u5+e8Mh75ehvXD+7A2D7xAXdnn4iIiAQ3YwXSgINmkJub6zP9VFvhXvw11qvPgt2B7f6nMZ0PPUXX4VRVu3lp6U7mby4C4Kyesdw0NAmnveVDqjGG5ORkcnJyAmpcjBw5tW1wUrsGL7Vt8GrptnU6nQ26SarRl/glMJnhp8LAE6Dahfvfz2K5mhbSnXYbE09IZsKgRAwwd1Mhf56/laLy4J8ZQURERAKDAmqQMMZgu/oPEBUN2ZlYs6cf0bHGH9ueB05NJdxh46fdZdzxRRaZ+eXNWLGIiIhI/RRQg4iJicf2mz8AYH3+PtaWjUd0vKEpUTx5TheSopzsLqni7rlZLN5W3BylioiIiBySAmqQMUNPxgw7Bdxu3K89h1VVeUTHS4sN5alzunJcxwjKXRZPfLud91bnaQySiIiIHDUKqEHIXPk7iImDnG1YH//niI8XE2rnodM7M6Z3HAD/ycjjqQU7qHC5j/jYIiIiIgdTQA1CJioG2zV/BMCaOxNr09ojPqbDZrhpWBI3H5+E3cDCrcXcMzeL3JK2N2OCiIiIHF0KqEHKDDgec+LpYFm4X3seq6J5bnA6u1cc/zs6jZhQO5vzK7jji0zW5ZY2y7FFREREQAE1qJnLb4S49rA7B+vDN5rtuP06RvDXc7rQNS6UwvJqHpi3lXm/FDTb8UVERKRtU0ANYiYiCtu1twJgzZ+N9XNGsx27Y1QIfzmrCyd2jsLlhr8t3skrK3ZR7dbNUyIiInJkFFCDnOk/GDPybADc0/4Pq7z5LseHO21MPiWFy49rD8AnP+fzyNfb2FdR3WznEBERkbZHAbUNMJdcB+07wJ7dWDNea9Zj24zhivREJp/SiVC7YeXOUu6ck8m2wopmPY+IiIi0HQqobYAJi8A2YSIA1rdzsNb80OznOCkthr+c1YXECAc5xVVMnpPF8u37mv08IiIiEvwc/i5AWoY5Jh1z+lis+bNxv/43bA//DRMR1azn6N4ujL+e25Wp325nbW4Zj36TzTWDEhnftx3GmGY9l4iISDCodluUVLnZV1FNRbWbqmoLl9uiym3tf3/AutrlA997P6s+6NXtpsoNruqaV7e73mOOH1DCJX0i/f1H4UMBtQ0xF13r6T3dvQPr3X9hrr+t2c8RF+bgkdFp/GPZTr78pZDXf8wlK7+CW05IIsSuDnsREQlO1W6Lkspqiivd7KusprjC87Ovspriymr2VVRTXOH2vK/c/1lJpRt/315cUunycwV1KaC2ISY0FNt1f8L95L1Y33+NNXgEZuDwZj+P0264ZXgS3eLDeGXFLr7JLGJ7cSX3jkyhfYSz2c8nIiLSXNyWRVFFTaCsrGZfTaj0hk1v6HQfsE01JVVH9nTFMIeNcIfBaTc4bAanzYbDDg6bDacNHHYbTlvNZ95tfN877MZnm8NuX/MaYrfRo3MnKor2NNOfYPNQQG1jTM++mLPGYc35CPebL2Lr2RcTFdP85zGGMX3iSY0N4cnvtrNxTzl3fJHFfSNT6J0Q3uznExERaYiSympyS6rIK3V5X/NKqsgtrSK3xMXesiqO5EneEU4b0aF2okLsRIfYiAq1Ex1Ssxxqr/nM5llX81lkiB2n3T9D4YwxtIsMIafIL6c/JAXUNsiM+w1WxnLI2Yb19j8wN9111M41ICmSv57Tlcf+m822wkru+3IrfzwhiVO7xR61c4qISNtUVW2xp3R/+MwtrSKvxEVeaZU3jJY2sKczsjZE1gbLEDtRoTbvclSInZia16hQmzdoOmy656I5KKC2QcYZgu36SbifuAtr2XdYg0/EDD35qJ0vOTqEJ8/uwjMLc1i2fR/PLsohq6CCqwYkYtcvsoiINIBlWRSWV3tDp+e1itwDekILylwNGs8ZHWonIcJBYqSTxAgHCRFOEiKdJEZ63rcLd+j/T36mgNpGma69MOdejPXpe7j/8zK23v0wMfFH7XwRTjv3jUrhP6vyeP+nPXy4di9ZBRXccVInIkPsR+28IiIS+CzLYl+l29v7mVdaxZ6a1/1h1EVVA55W6LQZT9CMdJIQ4QmdiRFOEiOdJER41oc5dNNuoFNAbcPM2MuwVi2D7C2433wZ2833HtXpoGzGcPXARLrEhfK3xTms2FHC5DlZ3D8qlU4xIUftvCIi4j+WZVFcGz5LfMOn59XFntIqKqp/PXwaID7c4e3pPDB0JtaE0ZhQu6Y2DAIKqG2YcTg9l/ofuwNWLsZa8g3mhNOO+nlHdo0hOdrJE//dTnZRJXfOyWTyySkMTA6sOdhERAJFtdsip7iSrIIK8stdhNhthNgNoXYboQ7PndjeV7shxFHzarfhsHHUAptlWRRXVB/U67n/fW2PaGUDwidATM2l9/YRzprX2svwThIiHbQLd/rtZiJpWQqobZzp3A1z/uVYM9/CevufWH3SMfHtj/p5e7UP56/nduUv32azPq+ch7/exvWDOzC2T7z+5SsibZZlWeSXV5OZX05WQYX3Z1thZYMub9fHZvAG2NrQ6nlfE3IdB73abYQcEHY96204d1bzS84e9pRUkVfmufN9T2nDLrsDxIYdHD5rej8jnLSvCaOaL1tqKaAK5pz/wVq5BDI34n7jb9gm/rlFQmK7cAePnpHGy0t3Mn9zEa+s2E1mQQW/H9YRp/6SEpEgV1blZmuhJ4BmHhBGiyuq690+1G5IiwulQ6STKrdFhctNZXU9r9We19rc6Lag3OWm/CjOxR4XZj8gcHrCZ/sIz9jP9hEO2il8SiMpoArGbvdc6n9kEqz5AWvBl5hTzmqRc4fYbUw8IZmucWFM+3E3834pZHtRJfeckkK8JvUXkSBQ7bbYXlxJVn5NCK0Jpbv2VdW7vc14Zj/pEhdK17hQutT8dIxyYmtg54FleR5jWXGoAOvaH2QrXBaV1W4qfNa5ffatrHYTHx1JlM1F+3DPmM/2NWG0XbhDnQrS7BRQBQCT3Blz4VVY77+G9d6rWMcOxLTv0DLnNoZxfdvROTaEvy7YwbrcMu74IpP7T+1McnKLlCAicsQsy2JvmatOj+i2wkpch7gMHh/uqBNEU2NCCD3Cu8yNqXmSkB2immGmFGMMycnJ5OTkYFn+fjCntAUKqOJlzrwAa+Vi2LQO97T/w3bbIxhby/2reHCnKJ48pwuPfbOdHcWV3D0nk0mVTga2g0in/nUuIv5nWRZlLjeF5dXkl7m8l+hrf/ZV1j8JfJjDeAPo/p8wYkI1zZ5IfRRQxcvY7Ngm/An3IxPh5wys/36OOW1Mi9aQGhPKU+d04a8LdvBjTglPztuAw2YYlBzJyV2iOT41igin/kIXkebhtixKKt0UVrgoKq+msKK65vXAZZd3fVFF9WFvCrIZ6FTP5fkOjbg8LyIKqHIQ07ET5qIJWO/+E+v9aVj9BmE6dGrRGqJC7Ew5NZVP1ufz360lbM4rYdn2fSzbvg+nzTC4UyQnpUUzTGFVRA5S7bYorqwvZHqWC2tCpvfzimqacnN8qN0QG+YgNSbEp1c0NTZENwOJNAMFVKnDnHYe1o/fw/rVuF/7P2x3PYaxtWwQtNsM449tz82j+7NkXSbfZRWyIKuY7UWVLMnex5LsfYTYDUM6RXJSWgzDUqP0ZBCRNqDC5WbXvip2FFeyo7iSncVV5BRXsrfM08u5r6K6QY+6PFiE00ZMqJ3YMDsxoY6a1wOWQ+3EhNmJrfnsSMeIisjhKaBKHcZmwzZhIu6HJsKmtVjzZmHOGu+3etLiQrkyNpErjksgq6CChVuLWZBVxI7iKr7fto/vt3nC6rCUKE7qEs3QTlH6n4dIK1ZZ7WZnsSeE5hRXknPA+z2lDXzWeoiNmDDfYLk/cNqJDfNd1l3oIoFFAVXqZRI6Yi69HuvNF7E+egvruKGY5M7+rckYusaH0TU+jCvTE9iSvz+s7txXxcKtxSzcWkyo3TAsNYqTu8QwODlSYVUkANWG0JyantCcA97/WgiNcNpIjg6hU7ST5OgQkqNDSIhwEFsTSKND7dhtGu8p0popoMohmVPO8lzqX/MD7n8/h+2eJzH2wBjzaYyhe7swurcL46oBCWzOr2BBVhELsorZXVLFgqxiFmQVE+awcXxqFCenRTOoU6TGhom0oMpqNzv3VZFT5BtCc4oryWtCCE2OdtIpOkTPWhdpAxRQ5ZCMMdiu/iPuh26FzI1Yn8/AjL3c32XVYYyhR7swerQL45qBiWzaW86CrGIWZhWRW+ri28wivs0sIsJZG1ZjGJgc4ZdLetVui8KKavZ4n1Pt8r7HwIi0aIZ0isKh3h9pJdyWRW5JFdmFlWwvriR/dSG/7CpgR5FCqIg0nQKqHJZpl4C58ndYrz6D9cm7WP0GY7r19ndZh2SMoVf7cHq1D2fCoEQ27ClnQVYRC7OK2VPm4pstRXyzpYhIp43hnaM5OS2a9KRInPYj/x9hZbWbvbWhs8xFXmkVe0td5JW62FvmCaF7y1yHvWP4my1FxIbaGdk1htO7x9K9XdgR1yXSHCpcbnYUV3qCaFEl24oq2F7keV9Zfej/qGtDaG3wVAgVkYYwVpA9EiI3N5eqqvofHydNY1kW1r/+irXsO+iQjG3Kc5iw8KN+3uZ8conbslifW8aCmnGq+WX7H0odFWLjhM7RnNwlhuM6RtTpvbQsi9Iqtzd41un9LPO8LzrE87MPZjMQH+Z5NnVChIN2EU4Swh0UlLv4b2YRBeX7j9M1LpTTu8cyqmsMceHB8+9JPZUmMFmWRVFFNdlFniCaXRNCtxVWkltSdcjeUIfNkBIdQkpsCMd0ake0qVQIDTL6nQ1eLd22TqeTxMTEX69LAVUawirZh/vhiZCfhxl5Nrarbznq5zxavzRuy2JdbhkLs4pYuLXYJxBGh9oZlhKJZeETSMtdDTt/iN3QPsJB+3AH7SM8z6r2LO9/HxfmOOQNHNVuix9zSpi/uZAl2fu8j0e0GRjSKZLTu8cyLCWq1d9xrP/Z+Ve122J3zWX57KIKbyDdXlRB8SGehASef8ylxnjm+kyNCfG+7xDpxG4zatcgprYNXgqoLUQB9eix1q3C/cwUAGx/fAAz4Pijer6W+KWpdluszS1lYVYxi7YWU3iYXtCoEJsndIY79gdPn2UnUSG2ZustKq6oZkFWEV9tLmTjnnLv+ugQG6fUDAHo2S6sVfZO6X92LaOsynNZfluhpyc0u6iS7TVjRQ/1bHgDdIhykhoTQsoBITQ15td7Q9WuwUttG7wUUFuIAurR5Z7xb6y5MyE6FttD/4eJiT9q52rpX5pqt8Wa3aVk7Cwlwmmr0/vpz+mqthVW8PXmQr7eUsTeA4YnpMaEMLp7LKO6xdA+wum3+hrLH/+zq3C5ySt14bBBiN2G02Zw2j0/gfgIyqpqN6VVbsqqal5dB7yvclNaVU2Za//ygZ+VVbkprqz2+W/lYCF2Q0pNCO0cE+oJo7EhdIoOafJ/6woxwUttG7wUUFuIAurRZVVV4X7sdtieBccNxXbrlKPWg6e/EOuqdltk7Cpl/i+FLM4u9t6cYjMwMCmS07rHMjw18B9U0BJtu6e0inW5ZfycW8a63DK25JdzqHt57AacdhtOuyGkJrg6bIYQe22IPSDQHvAacqjP7IYQuw1HzXK12zooSB4iXB6w7lA9nI0VG2qv6QGtCaE1QTQxsvmfDa/f2eCltg1egRpQg+euC2kRxunEduMdnpC6ejnWt3Mwo87xd1ltht1mGJQcyaDkSEoqq1m4tZj5mwtZl1vGDzkl/JBTQqTTxsldYjitewzHJIS3yiEAjVXttsgqqDggkJaSW1q39zDMYcNtWVRVWz43/FRbUO1yU37oDke/CbUbIpw2wp12wp22mvc2IhyeV591NduEO2xEhtjoGOW5LC8i0toooEqjmdSumIuuxXrvVaz3XsHq0x+TlOrvstqcyBA7Z/WM46yecewoquTrLYV8vbmQ3FIXczYVMGdTAZ2inZzWPZbTusWSGNl6hgD8mpLKatbneXpGf84rY0NeOeUu35t7bMYzC0LfxHCOSYygb2I4CREOjDFYlkW15ZkazFVtUen2hNaq2tdqy/OZu/b9AZ+53d5tqtz7P3PV7HPgMWo/d9jYHzIdBwbKA0Om72e1QVNPRBKRtkgBVZrEjD4fa/VyWLcK9yvPeJ4y5dB/Tv7SKSaE3wxI5Ir0BNbsKmX+5kIWbS1mR3EV/1mVx9ur8jguKYLTu8VyYlo0YQE+BOBAlmWxc1+V91L9z3llbC2oqDPlUYTTRp+E8JpAGk7v9uGEO+v/nsYYHAYcNjsET24XEQkaShTSJMZmwzbhT7gfvhWyNmF9Oh0z7jf+LqvNsxlDelIk6UmR3DSsmu+3FjN/SxFrdnlu/srYWcrfl+3ipLRoTu8ey7EdwgPuBqGqaje/7K3g57xS7yX7A6cCq5UU5eSYxJpAmhBOWlxowH0XERFpGgVUaTLTLgFz1S1Y/3wS69MZnqdM9ezr77KkRoTTzugecYzuEceufZV8vaWIrzcXsnNfFV9tLuSrzYV0jHLSNzGcMIeNMIeNUIchzG4j1GEjzGFq1h3wmfe953NnzdyXR6Kw3MXPNT2j63LL2LSnnKqDbhBy2DyPs63tHT0mIZz4IHpwgYiI+NLf8HJEbMNOxp2xDGvx17j//Sy2B5/DhEX4uyw5SMeoEC4/LoHL+rdnbW4Z8zcXsjCrmF37qti1r+mzXtgMhNo9YTX0oPB64PtQh40w+/6ga7MZdqzM54esveworqxz3JhQu7dntG9iOD3ahxHSyh9OICIiDaeAKkfMXHET1safIHcn1ruvYCZM9HdJcgjGGPp1iKBfhwhuGtqRZdv3sbukigqXm3KXVfPq+76i2rNc7nJ7t6udAslt4Zmf0wXQsEe91qdzbMgBgTSC5Ghnm5h9QERE6qeAKkfMRERiu34S7r/ej7VwHlb6UMzgEf4uS35FqMMzHVVTuNz1h1lPiLX2v6+uP/i63Bb9UtuTGu6mT/swojQVkoiIHEABVZqF6d0fc85FWJ9/gPuNF7F174OJa+/vsuQocdgMjhA7kSFNC5aa9FtERA5Hg7qk2ZgLroS07lBSjHva/yl4iIiISJMooEqzMQ4nthtuB2cI/PQj1tef+rskERERaYUUUKVZmU5pmIsnAGC9Pw1rx1b/FiQiIiKtjgKqNDtz2hjoPxiqKnG/8jSWq+nTGImIiEjb06SbpObMmcOsWbMoKCggNTWVCRMm0Ldv/RO05+fn88Ybb7B582Z27tzJueeey4QJE+pst3jxYqZPn86uXbvo2LEjV1xxBccff3xTyhM/M8Zgu3ai5ylT27ZgzXobc9G1/i5LREREWolG96AuWrSIadOmcdFFFzF16lT69u3L448/Tl5eXr3bV1VVERMTw0UXXUSXLl3q3WbDhg0899xzjBw5kqeeeoqRI0fy7LPPsnHjxsaWJwHCxLXDdvUtAFhffIi1YY2fKxIREZHWotEBdfbs2Zx++umMHj3a23uakJDA3Llz692+Q4cOXHfddYwaNYqIiPqfMPTpp5+Snp7O+PHjSUlJYfz48fTv359PP9VNNq2ZGTwCc9IZYFm4X30Wq7TE3yWJiIhIK9CoS/wul4vNmzdz4YUX+qxPT09n/fr1TS5iw4YNjBkzxmfdgAED+Oyzzw65T1VVFVVV+8c2GmMIDw/3vpfAYLvit1RvWFPzlKl/eu7yb6DadlR7Bh+1bXBSuwYvtW3wCtS2bVRALSoqwu12Exsb67M+NjaWgoKCJhdRUFBAXFycz7q4uLjDHvOjjz7i/fff9y5369aNqVOnkpiY2OQ65OiomPwYu+/+Ldb3XxM78kwiRp7VqP2TkpKOUmXib2rb4KR2DV5q2+AVaG3bpJuk6kvZzZ28Lcs67DHHjx/P2LFj65w/NzcXl8vVrLXIEYrvgDnvEqzZ09nzt8coaJ+MaZfwq7sZY0hKSmLnzp2a9D/IqG2Dk9o1eKltg1dLt63D4WhQZ2KjAmpMTAw2m61Oz2ZhYWGdXtXGqK+39NeO6XQ6cTqd9X6mX57AY8ZchrXmB8jcSPVrz2Gb9DDG1rAh0JZlqU2DlNo2OKldg5faNngFWts26iYph8NB9+7dycjI8FmfkZFBnz59mlxE7969Wb16dZ1j9u7du8nHlMBiHA7P+NOQUFi3CuurT/xdkoiIiASoRt/FP3bsWL766ivmz59PdnY206ZNIy8vjzPPPBOAt99+mxdeeMFnn8zMTDIzMykvL6eoqIjMzEyys7O9n5933nmsWrWKmTNnsn37dmbOnMnq1avr3DglrZtJSsFcegMA1oevY2Vn+rcgERERCUiNHoM6YsQIiouL+eCDD8jPz6dz587ce++93vEE+fn5deZEnTx5svf95s2bWbBgAYmJibz44osA9OnTh0mTJvHuu+8yffp0kpKSmDRpEr169TqS7yYByIw8GytjGWQsw/3K09jufxrjDPF3WSIiIhJAjBVIAw6aQW5urs/0UxJ4rKJ83A9NhOJCzFkXYrvk+nq3M8aQnJxMTk5OQI2LkSOntg1OatfgpbYNXi3dtk6ns0E3STX6Er/IkTIx8diuvRUAa+5MrHWr/FyRiIiIBBIFVPELM+B4zMhzAHD/+zmskn1+rkhEREQChQKq+I259Hro0AkK9mD952VdNhIRERFAAVX8yISGYbvxdrDZsJZ9h7Xkv/4uSURERAKAAqr4lenWG3P+5QBYb/8da89uP1ckIiIi/qaAKn5nzr0EuveBslLPeFR3tb9LEhERET9SQBW/M3a75ylToWGwYQ3W3Jn+LklERET8SAFVAoLpkIy5/LcAWDP/g7X1Fz9XJCIiIv6igCoBw5x0Bgw6AapduF95Bquywt8liYiIiB8ooErAMMZgu/qPEBsPOdtwf/C6v0sSERERP1BAlYBiomOwTZgIgPXVJ5St+N7PFYmIiEhLU0CVgGP6D8GcNgaAPVPvw73mBz9XJCIiIi1JAVUCkrl4AvToi1VSjPv5h3HP+UhPmhIREWkjFFAlIJmQUOx3PkbkWePAcmO9/xrWK89gVejGKRERkWCngCoByzidxE98ANuVvwe7HWvpf3E/eTfWnlx/lyYiIiJHkQKqBDRjDLbTx2C77X8hKga2bsb92O1YG9b4uzQRERE5ShRQpVUwffpje+AZSOsOxYW4n5mC++vPNC5VREQkCCmgSqth2nfANnkq5viRUF2N9fbfsd58Eauqyt+liYiISDNSQJVWxYSGYm68w3OXvzFY383F/fT9WAV7/V2aiIiINBMFVGl1jDHYzr4I28QHISISfvnZMy51ywZ/lyYiIiLNQAFVWi3Tfwi2+56G5M5QsBf3k/fiXvSVv8sSERGRI6SAKq2a6dgJ231PwcDh4KrCeu153O/+C6u62t+liYiISBMpoEqrZ8IisP3hXsz5lwNgffUJ7uf+jFVc5OfKREREpCkUUCUoGJsN2wVXYvvDvRAaDj9neMalbtvi79JERESkkRRQJaiYwSdiu/cpSEyCPbtx/2Uy1vIF/i5LREREGkEBVYKOSUnDdv/TcOwgqKzA/Y8ncX/0JpZb41JFRERaAwVUCUomMhrbxAcxZ40HwPpsBu4XHsMqLfFzZSIiIvJrFFAlaBm7Hdsl12FuuB2cIbB6Oe7H78TKyfZ3aSIiInIYCqgS9GwnnIrt7r9AuwTYtR33E3dirVrm77JERETkEBRQpU0wXXpiu/8Z6HUslJXifvFR3J++h2VZ/i5NREREDqKAKm2GiYnDdvv/Yk49FywLa+ZbuP8xFau8zN+liYiIyAEUUKVNMQ4ntt/8AXP1LWB3wIpFnqmocnf6uzQRERGpoYAqbZJt5NnY7nwUYuJgexbux+7AWrfK32WJiIgICqjShpmex3rGpXbtBSXFuJ/7M+55H2tcqoiIiJ8poEqbZtolYJv8BObE08Dtxpr+KtZrz2FVlPu7NBERkTZLAVXaPOMMwVw3CXPZjWCzYX3/Ne67b8D94RtY+Xv8XZ6IiEib4/B3ASKBwBiDOeMCrJQuuN98EXJ3Yn3+PtbcjzBDT8acOQ7Tpae/yxQREWkTFFBFDmD6DsD26MuwahnuL2fCxrVYS/6LteS/0LsftjPGwYBhGJvd36WKiIgELQVUkYMYmx0GnYB90AlYWZuwvvwYa/kC2PAT7g0/QWISZvT5mJNGY8Ii/F2uiIhI0NEYVJHDMF16YrvxDmxPvII592KIiPJc/n/3X7gn34B7xr+x9uz2d5kiIiJBRT2oIg1g4ttjLroGa8ylWN/Px5r3CezajjV3Jta8WZjBIzBnXIDpcYy/SxUREWn1FFBFGsGEhmFOPQ9r5DmwZgXuebNg3Sqs5Qs8wwC698GcMQ4z+ESMXeNURUREmkIBVaQJjM0G6cOwpw/D2rYFa94srKX/hc3rsf75JFa7RMzosZiTz8JERPq7XBERkVZFY1BFjpDp3A3bdX/C9pdXMWMvh+hY2JuLNeM13JOvx/3uv7B25/i7TBERkVZDPagizcTExmPGXYl13sVYi7/BmjcLdmzF+uoTrPmzYcBwbGdeAL36YYzxd7kiIiIBSwFVpJkZZwjmlLOwTj4T1q7EPe9jWPMDrFyMe+ViSOuBOfMCzwMAHE5/lysiIhJwFFBFjhJjDPQbhL3fIKzantTvv4atv2C9+izWB69jThuDGXUOJjLa3+WKiIgEDI1BFWkBplMatqtvwTb135gLr4LYeCjYi/XRm7gnX4f7rZewdmb7u0wREZGAoB5UkRZkomMwYy7FOms81rLvsOZ9DNu2YP33C6xv52JOPRdz4W8wEVH+LlVERMRvFFBF/MA4nZgRp2OdeBpsWIN77kzIWIb19adYKxZiLrkOM/xU3UwlIiJtkgKqiB8ZY6DPcdj7HIe1bhXut/8OO7d7xqh+9yW2K3+PSUnzd5kiIiItSmNQRQKE6TsA24P/hxl/NYSEeHpW//dPuGe8hlVe5u/yREREWowCqkgAMU4ntvMuwfbwizBwOFRXY839CPeDt2CtWIhlWf4uUURE5Khr0iX+OXPmMGvWLAoKCkhNTWXChAn07dv3kNuvXbuW119/nezsbOLj47ngggs466yzvJ9/8803vPTSS3X2e+uttwgJCWlKiSKtmknoiP2W+7EyluF+55+Qtwv336dCv0HYrvgdpmMnf5coIiJy1DQ6oC5atIhp06Zx44030qdPH+bNm8fjjz/Os88+S0JCQp3td+/ezRNPPMHo0aO59dZbWb9+Pa+88goxMTGccMIJ3u3Cw8N5/vnnffZVOJW2zqQPw3ZMOtbn72N98QH89CPuh/6IOedizLn/gwkJ9XeJIiIiza7Rl/hnz57N6aefzujRo729pwkJCcydO7fe7efOnUtCQgITJkwgNTWV0aNHc9ppp/HJJ5/4bGeMIS4uzudHRMCEhGIb9xtsD70A/QaBy4U1+13cf/4jVsYyf5cnIiLS7BrVg+pyudi8eTMXXnihz/r09HTWr19f7z4bN24kPT3dZ93AgQP5+uuvcblcOByeEsrLy7n55ptxu9107dqVyy67jG7duh2ylqqqKqqqqrzLxhjCw8O976X1q21HtaeHSUrBTHoYa8Ui3NP/5bns/7f/xQwcju2KmzDtO/i7xAZT2wYntWvwUtsGr0Bt20YF1KKiItxuN7GxsT7rY2NjKSgoqHefgoKCerevrq6muLiY+Ph4OnXqxM0330xaWhplZWV89tlnTJkyhaeeeork5OR6j/vRRx/x/vvve5e7devG1KlTSUxMbMxXklYgKSnJ3yUElk4X4x59LkXvvELxx29jrVyCe91KYi6/kejxV2GcTn9X2GBq2+Ckdg1eatvgFWht26SbpOpL2YdL3gd/Vnsncu363r1707t3b+/nffr04e677+bzzz/n+uuvr/eY48ePZ+zYsXXOkZubi8vlauA3kUBmjCEpKYmdO3fq7vX6nHcp9gHDqf7Py1gbfqLw9RcpnDMT22/+gK3vAH9Xd1hq2+Ckdg1eatvg1dJt63A4GtSZ2KiAGhMTg81mq9NbWlhYWKeXtFZcXFyd7YuKirDb7URF1f84R5vNRo8ePdi5c+cha3E6nTgP0VOkX57gYlmW2vRQOqVhu/NxrMXfYM34N+zcjvvpB7CGnYK59HpMXHt/V3hYatvgpHYNXmrb4BVobduom6QcDgfdu3cnIyPDZ31GRgZ9+vSpd59evXrV2X7VqlV0797dO/70YJZlkZWVpRulRBrAGIPtxNOwPfoy5rQxYGxYy77DPeVm3PM+xqqu9neJIiIijdLou/jHjh3LV199xfz588nOzmbatGnk5eVx5plnAvD222/zwgsveLc/66yzyMvL886DOn/+fObPn8/555/v3WbGjBmsXLmSXbt2kZmZycsvv0xmZqbPXKkicngmIgrblb/Ddv/T0K03lJdhTX8V96O3YW1a6+/yREREGqzRY1BHjBhBcXExH3zwAfn5+XTu3Jl7773XO54gPz+fvLw87/YdOnTg3nvv5fXXX2fOnDnEx8dz3XXX+cyBWlJSwj//+U8KCgqIiIigW7duPPzww/Ts2bMZvqJI22K69MB2z5NYC77E+vANyM7EPfUezEmjMf8zARNd/3AcERGRQGGsQBpw0Axyc3N9pp+S1ssYQ3JyMjk5OQE1LqY1sYqLsD58HWvBl54VEVGYi67BnHImxmb3W11q2+Ckdg1eatvg1dJt63Q6G3STVKMv8YtI62GiY7Bdeyu2u6dCajco3Yf11ku4n5iMlbXJ3+WJiIjUSwFVpA0wPftie+AZzOW/hbBwyNyI+7E7cP/nZaySYn+XJyIi4qNJ86CKSOtj7HbM6POxhpyENeM1rKX/xfrmc6yFX2HSh2GGj4L+Q1rVRP8iIhKcFFBF2hgT1w7z2zuwTjkT9/RXIDsTa8VCrBULITwSM2QE5viR0Ke/X8epiohI26WAKtJGmWPSsT34PGzd7OlNXfotFOz13P2/4EuIbYcZdgpm+Ejo0jPgntMsIiLBSwFVpA0zxkCXHpguPbD+51rYuBZryX89vamFe7HmfYw172PomII5fqTnJynF32WLiEiQU0AVEQDP5fw+x2H6HId1xe/gpx+wln6LtWoJ7NqO9ck7WJ+84+lNHT4KM+zkgH+UqoiItE4KqCJSh3E6YeBwzMDhWOWlWCuXYC35Ftb+CFmbsLI2Yc34tyfQHj8SM3gEJjLK32WLiEiQUEAVkcMyYRGYE06DE07DKi7EWr4Aa8l/4Zef4ecMrJ8zsN7+O/Qfim34SEgfhgkJ9XfZIiLSiimgikiDmehYzGlj4LQxWLk7sZZ95wmrO7bCysW4Vy6GsHDMoBMwx4+CvgMwds0EICIijaOAKiJNYhKTMOddAuddgpWd6ZkJYMm3sDcX6/uvsb7/GqJjPTMBHD8SuvfRTAAiItIgCqgicsRMaldMalesC6+GzT9jLfkWa/kCKC7Emj8ba/5sSOiIOX4UZvhITEoXf5csIiIBTAFVRJqNsdmg57GYnsdiXXYjrFvl6Vn9cTHk7cL67D2sz97DndqVghGn4e7cA3ocg3GG+Lt0EREJIAqoInJUGIcDjhuCOW4IVkU51qqlnocBrFkB2ZkUv/eaZ0OHE3r2xRyTjuk7wDONlcatioi0aQqoInLUmdAwzzjU40di7SuCjGWEZW6g9IclULh3/2wAM9+C8Ajo3X9/YO2UprGrIiJtjAKqiLQoExWDOekM2l98NRU7dmDlbMNatwprXQZsWA2lJbBqqafHFSAmDnNMOtQEVpPQ0d9fQUREjjIFVBHxG2MMJHfGJHeG08diuath62asdRlYP6+CTWuhqMAzNGDpt57Ampi0P7Aek46JifPztxARkeamgCoiAcPY7NC1F6ZrLzj3f7CqqjyzAqxbhfVzBmzZALk7sXJ3wndzPYE1pYunZ/WYdM/QgPAIf38NERE5QgqoIhKwjNPpeZxqn+MAsMpKYeNP+3tYszNhexbW9iysebPAZvME3GMGYPqma4YAEZFWSgFVRFoNEx7heZRq+jAArKICrPWrPdNZ/ZwBuTth83qszeuxPnsPnCEHzRDQw9NLKyIiAU0BVURaLRMThxl2Cgw7BQBrz26sdaugtoe1qMATXtetwvroTQiPhD41MwQcMwA6ddYMASIiAUgBVUSChmnfAXPymXDymViWBTu2Yf1c07u6fg2UlcDKJVgrl9SdIeCYdExikr+/goiIoIAqIkHKGAMpaZiUNBh9PlZ1NWz9xTPf6rpVsGld3RkCEjr6BtbYeH9/DRGRNkkBVUTaBGO3Q7femG694dyL988QUBtYt2zwPI51wZew4EtPYO2UVjNDwHGeGQIiovz9NURE2gQFVBFpk3xmCBj3G6zyUti4dv+UVtu2wI6tWDu2Yn31CRib5yarvp7eVXociwkN9ffXEBEJSgqoIiKACYuA44ZijhsKgFVcBBtW1wTW1bBrO2RuxMrciPX5B+BwQI++mGOO89xw1bUXxqG/UkVEmoP+NhURqYeJjoEhJ2GGnASAtTfXE1R/rnksa8EeWL8aa/1qrI/fhtBw6N2vZoaAdEjtirHZ/PwtRERaJwVUEZEGMO0SMSNOhxGne2YI2LXjgBkCVsO+Yli9HGv1cs/41ahozxCCYwZgevWD5BTNwSoi0kAKqCIijWSMgaQUTFIKnHoeltsN2Zk1gXU1bFjjCawrFmGtWOQJrKFh0Lm75zGuXXtiuvSEDsnqZRURqYcCqojIETI2G6R1x6R1h7PGY7lcnvGqtYE1cyNUlMOmtVib1gJ4Qmt4BKT1wHTthenaE7r09Ex1pYcHiEgbp4AqItLMjMPhecRqz74w9nIsdzXs3I6VuQmyNmFlbvTMElBWun8ca+3OkdHQpadvaI1vr9AqIm2KAqqIyFFmbHbPnKqd0mDE6QCeXtacbZ6wmrXJE16zM6GkGNb+iLX2x/2hNSbON7R27YmJ0UMERCR4KaCKiPiBcTigczdM525wylkAnocHbM/07WndsRWKCnxvwAKIT6gJrZ7gSpcemKgYf30dEZFmpYAqIhIgjNPpmU+1ay/vOquiArK31ITWjZ7XndmQnwf5eVgrF+8PrQkdPTdfdeuFSesBKV0gOlbDA0Sk1VFAFREJYCY0FHocg+lxjHedVV4KWzf79rTuzvE8qjVvF6xYuD+0RkVDUmdMciok738lPkEzCIhIwFJAFRFpZUxYBPTuj+nd37vOKtkHW3/BytyElbURsn6BPbs9010dPHsAeKa9Skr1BNakVExyZ09wTUzSE7FExO/0t5CISBAwkVHQdwCm7wDvOquiAnZlY+Vke27Iqnll9w7PtFdZm7CyNnm2rd3J7oAOyT69rSa5s2fe15DQlv9iItImKaCKiAQpExrqmWc1rYfPesvlgtydNaF1G+zcH2KprPC85mzzhlYLwBho36FucE1OxUREtfRXE5Egp4AqItLGGIcDklM94ZITvestt9tz89UBva3e4FpSDHm7PONcVy/3bF+7Y2y8Z5hAp84U9z4WtzMc2idC+w6Y8IiW/4Ii0uopoIqICFDzRKz2HTzBsv8Q73rLsqC4EHKyD+hx3QY7tkHBHijMh8J8rPWrKfj6M9+DRkRBQs0x23eE9omYhA5Q+169ryJSDwVUERE5LGOM52EBMXGYPv19PrPKSvcH1pxswgr3UrZ9q+cGrZJiKN0HW/d5Zh2o3efAA4RHekJxQgdMbTiueSWhA0REaZoskTZIAVVERJrMhEdAt96Ybr0xxpCQnExOTg6WZXmmw9qTC3m7sfbsgj25nte83TUzDBRBWQlkb/HM9VpzTJ8AGxa+v1f3oCBL+44QFa0AKxKEFFBFROSoMGERnocFpHShvghpVZR7guqe3Vh7dnuDq1WzjqICKC+D7VmwPav+ABsaBu0SPT284RGYsHAIi4Dw2tcICIvA1C6H+a4nJEQBVyQAKaCKiIhfmNAw6JQGndIOEWArYG8u7NmFtcfzSt5urL2eXlkK93qmy6qZdQAOCq8HHutQRdhsBwTWcM9PeIQnXIcfHGjDfcNueIRnjG1UNMYZ0gx/IiJSSwFVREQCkgkNPWC2gbqsqkrPEIK9u7H2FUN5KZSV1byWQnkpVnnZQetq3peXgWWB2+0ZJ1u6z/fYh6mr3s9CQiAiGiKjINLzaiLrWY6oXa75LDRMPbgi9VBAFRGRVsk4QyApxfMQgUbua7ndnjlfGxRqPdtYFWUHLNf8lO7zhNzKSqjc45nVoPYcB5+zvkIcDk9YjTh0sCUy2vMghtrtomIgLFzBVoKaAqqIiLQ5xmbbf0k/7qDPGnEcy7I8vbElxVCyD0qKPY+dLSk+4Gcf1gGfU7rP8wjaahe4XN5purzHrO88B6+wOzxBNToGomIw0bEQFQ1RsTXrYjFR0d73REVjHM5GfDMR/1JAFRERaSJjjGcsangEJHT0rGvAfpZleXpwDwyu3iB7iGBbsg9Kiz29tdUuzxjcwr2e49V3joNXhEd6Qmx0rCfUHhBwiY71LHvXxXrG4qqXVvxEAVVERKSFGWM8MxDUzkJQu74B+1oVFZ4pump+rOJCz/vimuV9vsvsKwbL7ZnSq6zE85hbGjAEwW73BNaaHtq8+HZUu/GMtw0Ng5Cw/e9DwyAk1DNuOMTz3rM+1PM+xLONsduP4E9N2hIFVBERkVbEhIZCaKLncbL8eqi1am8Eqw21xUVY+4o8Twc7cNm7rhgqyqC6ev9TwoCyBtR2uJvLAM/QBJ8QG+oNt4SE1QTcUN8A7HSC44AfZwjG6Tho3cHb+H5ubLYGVC+BRAFVREQkiBmbzdsT6l33K/tYVZUH9MB6gmxsaAiFu3d75q+tLIeKCs80X5UVWJX733tfa99XVHh6cMEzNKHUBaUl9Z+3gd+podt52e2+AdbhqCfU7v/M1G5T+2qvCb32g9fXHMfuwNS7/tDb165XeK6fAqqIiIj4MM4QaJfg+cEzJCEqOZnimqeENYZlWZ6bwSrLDwixBwbZcs+wBW+4PWgbVxWWq8pzjKoqcB3w41121V13oOpqz09FecNqbtQ3bPo+gGcu3toQa3d4wrTd4fveceB633Wmzrra5QOPc+hjGYeDymPTITy6qd/gqGhSQJ0zZw6zZs2ioKCA1NRUJkyYQN++fQ+5/dq1a3n99dfJzs4mPj6eCy64gLPOOstnm8WLFzN9+nR27dpFx44dueKKKzj++OObUp6IiIgECGOMp9fQ6fRMlVXfNs18TsuyamZJqIIq1yFCbZXP59bBn9fOsuANwK4D1nvWWQeG48Nuf8D6apdvsd5pyiqb9l2P9M8K2HfexXDRtUd4pObV6IC6aNEipk2bxo033kifPn2YN28ejz/+OM8++ywJCQl1tt+9ezdPPPEEo0eP5tZbb2X9+vW88sorxMTEcMIJJwCwYcMGnnvuOS677DKOP/54li5dyrPPPssjjzxCr169jvxbioiISJthjNl/6T6sgfsc3ZK8vD3K1VUHBdqqmp7emkBb+7662htsrQPXVVfVu43PunqOZR28nbsaZ6dUKlro+zdUowPq7NmzOf300xk9ejQAEyZMYNWqVcydO5crr7yyzvZz584lISGBCRMmAJCamsovv/zCJ5984g2on376Kenp6YwfPx6A8ePHs3btWj799FMmTZrUxK8mIiIiElh8epQbu+9Rqic6OZl9OTlH4ehN16iRuS6Xi82bNzNgwACf9enp6axfv77efTZu3Eh6errPuoEDB7J582ZcLk8394YNG+psM2DAADZs2NCY8kREREQkCDSqB7WoqAi3201sbKzP+tjYWAoKCurdp6CgoN7tq6urKS4uJj4+noKCAuLi4ny2iYuLO+QxAaqqqqiq2j8I2hhDeHi49720frXtqPYMPmrb4KR2DV5q2+AVqG3bpJuk6vsSh/tiB39Wewfg4faxLOuwn3/00Ue8//773uVu3boxdepUEhMTD7mPtE5JSUn+LkGOErVtcFK7Bi+1bfAKtLZtVECNiYnBZrPV6dksLCys00taq76e0KKiIux2O1FRUYfc5nDHBM841bFjx3qXa8Nsbm6ud+iAtG7GGJKSkti5c2ejpzWRwKa2DU5q1+Cltg1eLd22DoejQZ2JjQqoDoeD7t27k5GR4TMFVEZGBsOGDat3n169erFixQqfdatWraJ79+44HJ7T9+7dm9WrV/sEzoyMDHr37n3IWpxOJ85DDDDWL09wsSxLbRqk1LbBSe0avNS2wSvQ2rbRjy8YO3YsX331FfPnzyc7O5tp06aRl5fHmWeeCcDbb7/NCy+84N3+rLPOIi8vzzsP6vz585k/fz7nn3++d5vzzjuPVatWMXPmTLZv387MmTNZvXo1Y8aMaYavKCIiIiKtSaPHoI4YMYLi4mI++OAD8vPz6dy5M/fee6+3uzY/P5+8vDzv9h06dODee+/l9ddfZ86cOcTHx3Pdddd5p5gC6NOnD5MmTeLdd99l+vTpJCUlMWnSJM2BKiIiItIGGSuQ+nObQW5urs/d/dJ6GWNITk4mpwmP1pPAprYNTmrX4KW2DV4t3bZOp7NBY1AbfYlfRERERORoUkAVERERkYCigCoiIiIiAaVJE/UHstqpqyR4qE2Dl9o2OKldg5faNni1VNs29DxBd5OUiIiIiLRuusQvAausrIy7776bsrIyf5cizUxtG5zUrsFLbRu8ArVtFVAlYFmWxZYtWzSlSRBS2wYntWvwUtsGr0BtWwVUEREREQkoCqgiIiIiElAUUCVgOZ1OLr74YpxOp79LkWamtg1OatfgpbYNXoHatrqLX0REREQCinpQRURERCSgKKCKiIiISEBRQBURERGRgKKAKiIiIiIBRQ/VFb/66KOPWLp0Kdu3byckJITevXtz1VVX0alTJ+82lmUxY8YMvvrqK/bt20evXr244YYb6Ny5sx8rl8b46KOPeOeddzjvvPOYMGECoHZtzfbu3ctbb73FypUrqaysJDk5mT/84Q90794dUNu2VtXV1cyYMYPvvvuOgoIC4uPjOfXUU7nooouw2Tz9WWrb1mHt2rXMmjWLLVu2kJ+fz5133snxxx/v/bwh7VhVVcWbb77JwoULqayspH///tx44420b9++Rb6DelDFr9auXcvZZ5/NY489xgMPPIDb7ebRRx+lvLzcu83HH3/Mp59+yvXXX88TTzxBXFwcjz76aMA9lk3qt2nTJubNm0eXLl181qtdW6d9+/YxZcoUHA4H9913H8888wzXXHMNERER3m3Utq3Txx9/zJdffskNN9zAs88+y1VXXcWsWbP44osvfLZR2wa+iooKunbtyvXXX1/v5w1px2nTprF06VL+9Kc/8cgjj1BeXs5f/vIX3G53i3wHBVTxq/vvv59TTz2Vzp0707VrV26++Wby8vLYvHkz4PlX3meffcb48eMZPnw4aWlp3HLLLVRUVLBgwQI/Vy+/pry8nL/97W/87ne/IzIy0rte7dp6ffzxx7Rv356bb76Znj170qFDB4477jiSkpIAtW1rtmHDBoYOHcrgwYPp0KEDJ5xwAunp6fzyyy+A2rY1GTRoEJdffjnDhw+v81lD2rG0tJT58+dzzTXXkJ6eTrdu3bj11lvZunUrGRkZLfIdFFAloJSWlgIQFRUFwO7duykoKGDAgAHebZxOJ8ceeyzr16/3S43ScK+88gqDBg0iPT3dZ73atfVavnw53bt355lnnuHGG29k8uTJzJs3z/u52rb1OuaYY1izZg07duwAIDMzk/Xr1zNo0CBAbRssGtKOmzdvprq62ufv7nbt2pGWlsaGDRtapE6NQZWAYVkWr7/+OscccwxpaWkAFBQUABAbG+uzbWxsLHl5eS1dojTCwoUL2bJlC0888USdz9Surdfu3bv58ssvGTNmDOPHj2fTpk289tprOJ1ORo0apbZtxcaNG0dpaSm33XYbNpsNt9vN5Zdfzsknnwzo9zZYNKQdCwoKcDgc3s6iA7ep3f9oU0CVgPHqq6+ydetWHnnkkTqfGWN8lvUAtMCWl5fHtGnTuP/++wkJCTnkdmrX1sftdtOjRw+uvPJKALp168a2bduYO3cuo0aN8m6ntm19Fi1axHfffcfEiRPp3LkzmZmZTJs2zXuzVC21bXBoSju2ZFsroEpA+Pe//82KFSt4+OGHfe4QjIuLA/DeUVqrqKiozr/+JHBs3ryZwsJC7rnnHu86t9vNunXr+OKLL3juuecAtWtrFB8fT2pqqs+61NRUlixZAuh3tjV76623GDduHCeddBIAaWlp5ObmMnPmTE499VS1bZBoSDvGxcXhcrnYt2+fTy9qUVERffr0aZE6NQZV/MqyLF599VWWLFnCgw8+SIcOHXw+79ChA3FxcT6Dsl0uF2vXrm2xXxJpvOOOO46//vWvPPnkk96fHj16cPLJJ/Pkk0/SsWNHtWsr1adPH+8YxVo7duwgMTER0O9sa1ZRUeGdTqqWzWbz9pqpbYNDQ9qxe/fu2O12n23y8/PZunUrvXv3bpE61YMqfvXqq6+yYMECJk+eTHh4uHdsS0REBCEhIRhjOO+88/joo49ITk4mKSmJjz76iNDQUO+4KAk84eHh3nHEtUJDQ4mOjvauV7u2TmPGjGHKlCl8+OGHjBgxgk2bNvHVV19x0003Aeh3thUbMmQIH374IQkJCaSmppKZmcns2bM57bTTALVta1JeXs7OnTu9y7t37yYzM5OoqCgSEhJ+tR0jIiI4/fTTefPNN4mOjiYqKoo333yTtLS0Oje9Hi3G0uAR8aNLL7203vU333yzd8xT7YTC8+bNo6SkhJ49e3LDDTfUCUAS2B566CG6du1aZ6J+tWvrs2LFCt5++2127txJhw4dGDNmDGeccYb3c7Vt61RWVsb06dNZunQphYWFtGvXjpNOOomLL74Yh8PTn6W2bR1++uknHn744TrrR40axS233NKgdqysrOStt95iwYIFPhP1JyQktMh3UEAVERERkYCiMagiIiIiElAUUEVEREQkoCigioiIiEhAUUAVERERkYCigCoiIiIiAUUBVUREREQCigKqiIiIiAQUPUlKRFqVb775hpdeeumQn//5z3+mX79+LViRr927d/PHP/6Rq666igsuuMBvdTSnYPxOIhLYFFBFpFW6+eab6dSpU531qampfqhGRESakwKqiLRKnTt3pkePHv4uQ5qRy+XCGIPdbvd3KSLiZwqoIhK0Lr30Us4++2zS0tKYPXs2ubm5dOzYkYsvvpiTTjrJZ9utW7fy7rvvsm7dOiorK+nUqRNjxozh1FNP9dmupKSEDz74gKVLl7J3714iIiLo0aMH11xzDSkpKT7bzp49m88//5yioiLS0tK49tpr6d2792Frrh3C8OCDD/L999+zePFiLMvi2GOP5frrr6ddu3Y+3+/iiy/m0ksv9TnGLbfcwrHHHsstt9xS55gLFixg6dKlVFdXM2zYMG688UbKy8v597//TUZGBiEhIZx88slceeWV3uev17Isiw8//JAvv/ySoqIiOnfuzG9+8xuOO+44n+1ycnJ47733WL16NaWlpXTs2JGzzz6bc845x7tN7bPC//jHP5KZmcnChQspKCjgmWeeqfPnKCJtjwKqiLRKbreb6upqn3XGGGw233s/ly9fzk8//cSll15KaGgoc+fO5fnnn8dut3PCCScAsGPHDqZMmUJMTAzXXXcdUVFRfPfdd7z00ksUFhYybtw4AMrKynjwwQfZvXs348aNo1evXpSXl7Nu3Try8/N9gtWcOXNISUlhwoQJAEyfPp0nnniCF198kYiIiF/9fv/4xz8YNGgQEydOZM+ePbz55pv87W9/489//nOT/8z+/ve/c/zxxzNp0iS2bNnCO++8Q3V1NTt27GD48OGcccYZrF69mo8//ph27doxduxYn/2/+OILEhMTmTBhApZl8fHHH/P444/z8MMPe4N3dnY2DzzwAAkJCVxzzTXExcWxcuVKXnvtNYqLi7nkkkt8jvn222/Tu3dvfvvb32Kz2YiNjW3y9xOR4KGAKiKt0v33319nnc1m49133/VZV1xczBNPPEFcXBwAgwcP5o477uDtt9/2BtT33nsPl8vFn//8ZxISErzblZaW8v7773PmmWcSERHBp59+yrZt23jggQdIT0/3nmP48OF1agkPD+eee+7xBub4+Hjuu+8+fvzxxzq9t/UZMGAA119/vXd53759vPXWWxQUFHi/S2MNHjyYa665BoD09HQ2bNjAwoULueaaa7xhND09nVWrVvHdd9/VCahut5sHHniAkJAQb4233HIL06dPZ8qUKQC8/vrrhIeH88gjj3iDeHp6Oi6Xi5kzZ3LuuecSFRXlPWbHjh25/fbbm/R9RCR4KaCKSKv0xz/+sc6lYGNMne369+/vE+hsNhsnnngi77//Pnv27KF9+/b89NNP9O/f3xtOa40aNYoff/yRDRs2MHDgQFauXElycrJPOD2UwYMH+/TmdunSBYDc3NwGfb+hQ4f6LKelpXn3b2pAHTJkiM9ySkoKy5YtY/DgwXXWZ2Rk1Nl/+PDh3nAKnhA+ZMgQFi5ciNvtxuVysWbNGs4880xCQ0N9ergHDRrEF198wcaNGxk0aJDPMUVEDqaAKiKtUkpKSoNukqovzNWuKy4upn379hQXFxMfH19nu9rxnsXFxQAUFRXVCbGHcmAvIYDT6QSgsrKyQftHR0cf0f4Nqal2jGl96+s7z6H+LF0uF+Xl5ZSXl1NdXc0XX3zBF198UW8NtX+Wter7cxcRUUAVkaBWUFBwyHW1ITA6Opr8/Pw62+3du9dnu5iYGPbs2XN0Cm0Cp9OJy+Wqs/7gENhcDvVn6XA4CAsLw263Y7PZGDlyJGeffXa9x+jQoYPPcn293iIiepKUiAS1NWvW+AQrt9vN999/T8eOHWnfvj3gGQawZs0abyCt9e233xIaGuq9AWjgwIHk5OSwZs2aFqv/cBITE8nKyvJZt2bNGsrLy4/K+ZYsWeLTs1pWVsaKFSvo27cvNpuN0NBQ+vXrx5YtW+jSpQs9evSo83Nwz7CISH3UgyoirdK2bdvq3MUPkJSURExMjHc5OjqaRx55hP/5n//x3sW/fft2Jk2a5N3mkksu4YcffuDhhx/m4osv9t7F/8MPP3DVVVd5b/YZM2YM33//PU8++SQXXnghPXv2pLKykrVr1zJ48GD69+9/1L/3gUaOHMn06dOZPn06xx57LNnZ2XzxxRcNmiWgKWw2G48++ihjx47F7Xbz8ccfU1ZW5nNn/nXXXceUKVN48MEHOeuss0hMTKSsrIydO3eyYsWKI5qFQETaDgVUEWmVDvW409/97neMHj3auzx06FA6d+7Mu+++S15eHklJSUycOJERI0Z4t+nUqRP/+7//yzvvvMOrr75KZWUlKSkp3HzzzT7zoNbenT5jxgzmzZvHjBkziIqKokePHpxxxhlH7bseygUXXEBpaSnffPMNn3zyCT179uS2227jqaeeOirnO+ecc6iqquK1116jsLCQzp07c88993DMMcd4t0lNTWXq1Kl88MEHvPvuuxQWFhIZGUlycrLPzVEiIodjLMuy/F2EiMjRUDtR/w033ODvUkREpBE0BlVEREREAooCqoiIiIgEFF3iFxEREZGAoh5UEREREQkoCqgiIiIiElAUUEVEREQkoCigioiIiEhAUUAVERERkYCigCoiIiIiAUUBVUREREQCigKqiIiIiAQUBVQRERERCSj/Dwf2DR3+tAO5AAAAAElFTkSuQmCC", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 3.07e-03\n", + " final error(valid) = 1.34e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.71e-01\n", + " run time per epoch = 2.23\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=1.00\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 7.72e-03\n", + " final error(valid) = 1.62e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.62e-01\n", + " run time per epoch = 2.23\n" + ] + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "learning_rate = 0.2 # learning rate for gradient descent\n", + "\n", + "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n", + "final_errors_train = []\n", + "final_errors_valid = []\n", + "final_accs_train = []\n", + "final_accs_valid = []\n", + "\n", + "for init_scale in init_scales:\n", + "\n", + " print('-' * 80)\n", + " print('learning_rate={0:.2f} init_scale={1:.2f}'\n", + " .format(learning_rate, init_scale))\n", + " print('-' * 80)\n", + " # Reset random number generator and data provider states on each run\n", + " # to ensure reproducibility of results\n", + " rng.seed(seed)\n", + " train_data.reset()\n", + " valid_data.reset()\n", + "\n", + " # Alter data-provider batch size\n", + " train_data.batch_size = batch_size \n", + " valid_data.batch_size = batch_size\n", + "\n", + " # Create a parameter initialiser which will sample random uniform values\n", + " # from [-init_scale, init_scale]\n", + " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + " # Create a model with four affine layers\n", + " hidden_dim = 100\n", + " model = MultipleLayerModel([\n", + " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n", + " ])\n", + "\n", + " # Initialise a cross entropy error object\n", + " error = CrossEntropySoftmaxError()\n", + "\n", + " # Use a basic gradient descent learning rule\n", + " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + " plt.show()\n", + "\n", + " print(' final error(train) = {0:.2e}'.format(stats[-1, keys['error(train)']]))\n", + " print(' final error(valid) = {0:.2e}'.format(stats[-1, keys['error(valid)']]))\n", + " print(' final acc(train) = {0:.2e}'.format(stats[-1, keys['acc(train)']]))\n", + " print(' final acc(valid) = {0:.2e}'.format(stats[-1, keys['acc(valid)']]))\n", + " print(' run time per epoch = {0:.2f}'.format(run_time * 1. / num_epochs))\n", + "\n", + " final_errors_train.append(stats[-1, keys['error(train)']])\n", + " final_errors_valid.append(stats[-1, keys['error(valid)']])\n", + " final_accs_train.append(stats[-1, keys['acc(train)']])\n", + " final_accs_valid.append(stats[-1, keys['acc(valid)']])" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n", + "|------------|--------------------|--------------------|------------------|------------------|\n", + "| 0.1 | 2.03e-03 | 1.35e-01 | 1.00 | 0.97 |\n", + "| 0.2 | 1.99e-03 | 1.17e-01 | 1.00 | 0.97 |\n", + "| 0.5 | 3.07e-03 | 1.34e-01 | 1.00 | 0.97 |\n", + "| 1.0 | 7.72e-03 | 1.62e-01 | 1.00 | 0.96 |\n" + ] + } + ], + "source": [ + "j = 0\n", + "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n", + "print('|------------|--------------------|--------------------|------------------|------------------|')\n", + "for init_scale in init_scales:\n", + " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n", + " .format(init_scale, \n", + " final_errors_train[j], final_errors_valid[j],\n", + " final_accs_train[j], final_accs_valid[j]))\n", + " j += 1" + ] }, { "cell_type": "markdown", @@ -509,10 +2137,303 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.10\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 4.75e-03\n", + " final error(valid) = 2.19e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.64e-01\n", + " run time per epoch = 1.48\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.20\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 1.14e-03\n", + " final error(valid) = 1.49e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.71e-01\n", + " run time per epoch = 1.47\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=0.50\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 1.81e-03\n", + " final error(valid) = 1.47e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.71e-01\n", + " run time per epoch = 1.49\n", + "--------------------------------------------------------------------------------\n", + "learning_rate=0.20 init_scale=1.00\n", + "--------------------------------------------------------------------------------\n" + ] + }, + { + "data": { + "image/png": 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2D2lX/5M2bR7+btcmTSHau3dvMjIyyMrKwuv1kpaWRlJSUq19srOzmTdvHrfffnutD2vMsa3KaUMgLAKdvhaHTXHF6R525pSx4UBxoCsTQgjRQTXYo7bZbNx4443MmTMH0zQZN24cXbt2ZdWqVQBMmjSJN998k6KiIl544QXfMXPnzq332NZK2e2oM0ahv/wUXV7O+F6RvPltDq9uyebMxNA23asWQgjRNnXo1bPqordvwZx/P8Yt96CSxpD6Qz5/+W8m953bmRFdWmaeWH+ToS//kzZtHtKu/idt2jxa1dB3h9NvEERGY6avA2Bcz0gSwhxyX7UQQoiAkKA+hjJsqDNGwdb16LISbIbiF4M97M4r57/7igJdnhBCiA5GgroOKnksVFagN38FwLk9IkgMd/LalmxM6VULIYRoQRLUdel9GkS50eut4W+bobhqsJs9+eV88XPLLDwuhBBCgAR1nZRhoJLGwDcb0SXWcPeY7hF0iXDy2tZsqkzpVQshREdVVFFFcUXLLQsqy1zWQyWPQae+i970JWr0hOpetYd5nx/g858LOadHRKBLFEII4WdaawrKq8gqquRQcSVZxUd+e32PSypN7jqvinM7O1ukJgnq+vTsB+449Pq1MHoCAKO7h/PGN05e35rN6G7h2Ay5r1oIIdqSKlOTW+o9JoStID5U/byiqvaoaYjDIC7UQVyog9PjgokNdTA0MRIobZGaJajroZRCJVX3qosOo8IiMJTiqiEenlx7gLV7DnNez8hAlymEEAKrJ1zqNSkoqyK/1Et+ufU7r8zr6xEfKq4ku7iSY3KYSJeN2FAH3SJdJHcOIzbUTmx1MMeGOghz2o77PI8nlOxsCeqAU2eNRa98G73xC9Q5kwE4u2s4PaJc/OvrQ/RxB9ElwhXgKoUQon0ytaaovMoXuvllVRSUWb/zy7xWKJd5fa8d2xMGUEBMsJ24MAf9PcGM7R5BbKjd10OODXXgsrfuy7UkqE+kay+IS7Su/q4OakMpbj0rnjmf7eeu5T/x66R4UnpHyvSiQghxkrym5sDhCvbkl/NzQTlZxZW1wvhwmfe43i+AoSAyyE5UkI3IIDudI5xEBdmJDLIRVf36keeRQXbsbfw0pQT1CSilrIvKlr+JPpyHirBW/hoQG8Kfp/RgQVoGf/0yk00ZxcwYkVDn8IgQQnR0ptZkFVWyp6Ccn/PL+TnfCuf9heV4TWsfQ4EnxE5kkB1PiJ3eMUG+0D0SylHBdqJcNsJcNowO1DmSoG6ASh6L/uAN9IYvUOOm+F53hzj40/iuvPNdLq9+fYgd2aXcPTqRAXEhAaxWCCECR2tNXlkVP+eX+3rJe/LL2VtQTpn3aNc4LtRB9ygnSZ1D6RblonuUiy4RThy21j0EHSgS1A1QnbtDp67o9DVQI6jBmgjl8kFuhsSHMP/zA9yX+jO/ON3DFae75YpwIUS7VlRRO5B/zi9nT0EFheVVvn0ig2x0j3QxsXeUL5C7RjoJccjo48mQoG4ElTwW/d5r6LwcVLT7uO39PMEsmNKDxV8d5LWt2XydWcxdoxOJDXUEoFohhICSSute4B+K88jOLaSiSlNpaiqrNJWmSUWVxlulj75uaiqrTCqrX/OaNbYd8/qRq6uPCLYbdItycXbXMLpHuegW6aJblIuoIIkYf5BWbASVPAb9n1fRG9ahUi6uc58Qh43fjU5keGIof/vqIHcu383MEQmM7iYTowgh/M/U1v3ABwsrySiq4GBRJZlFlWQWWo8LavRsT8RQ4DAUDpvCYTNwGAqnrfp59evBdoMIl4HDpnBWv9Yp3En36l6yJ8QuF9Q2IwnqRlAJXaBLT3T6OqgnqI84r2ck/T3BzP/8AE+uPcDE3sXcnBRPUCu//F8I0fqUe00rfI8EcWEFmUWVHKz+qawxnbF1MZaDhHAHI7qGER/mpFOYg16dPJQWHa4VvDUDWU7TtX4S1I2kkseg3/kHOicL5Y474b6dwp3MndSd17Zk89a3OWw7VMrvRyfSKyaohaoVQrQl2SWVbD9Uyt6C8upecSUHiyrIK6vdKw62GySEO+ga6SS5cxjxYQ4Swp0khFn3A9d1G5LHE0F2dkVLfRXRDCSoG0klj7WCev061ORLG9zfbiiuGxbL0IQQFqRlMGvlHv5neCzT+kfLEJEQHViVqdlbUM53h0rZdqiU7YdKyCq2FnhQgDvETkKYgzOPBHGYFcQJYQ7CXTb596MDkqBuJBWbAN37WMPfjQjqI4YkhPLnKT34y5eZLNmQxeaMYu4Y2YmoYGl6ITqCMq/JjuxSth8q5btDpWzPLqWk0rp5ODrYzoDYYC46LZjTYoPpEeWSW5TEcSQtToI6ayz6/5aisw6g4hIbfVxEkJ37zunMip35LN2YxZ3Ld3Pn2Z04IzGsGasVQgRCXqmX7w6V8F11MP+YW+abXat7pIux3SMYEBvMwLhg4kId0kMWDZKgPgkqaYwV1OnrUFOvPLljlWJKv2gGxYUwb91+/rR6HxefFs11w2LlL2gh2ihTa/YdrmD7oVK2ZVnhnFlUCYDTpujrDuKSgW4GxAZzmieYMJfcPyxOngT1SVAxsdD7NGvu75MM6iO6R7mYd34PXtqUxbvb89h6sIS7xyTK4h5C+FFRRRVbMovZnFHC/sIKDAU2pazfhqr9XCmMY1+r8fzY/Q1D4TU1u3KsHnNRhTWMHemyMSAumAv6RTEgNoRe0UE4bNJbFk0nQX2SVPJY9L+fR2fsRXXqekrv4bIb3JKcwLBOofzlv5nctfwnfpMcz4ResriHEKeiytTsyi1j04FiNmUUsyOnFFNbV0n3iHZRBZSZJqaGKq2t36bGrPW4xjatqTKp3m69Zh6zOESXCCcju4Zbw9ixIXQKl2Fs0TwkqE+SOnMU+vUX0OlrURdd06T3GtElnD5TgngmLYO//DeTjQeKObdHBJ3CncSHtf6l14QIpEPFlWzKsIL568xiiitMFNDHHcTlg9wM6xRKf0+w31ZO0jVCHMApp6xEC5GgPkkqyg19B6G/Wou+8CqU0bT/Wd0hDh6qsbjH5z8XHt0WbCch3Lo9o1P174RwB53CnbJSl+hwyr0m3xws8YXzvsPWvcExwXZGdglneKdQhiaEENFM01YqpbApsCG9ZtGyJKhPgTr3fPTz89CfLkeNv7DJ73dkcY/z+0Zx4LA181BGYQWZRRVkFlay8UDRcRMfhDsNEsKddKoR3gnVkx9EB8m9lqLt01qzJ7+cjdXBvC2rFK+pcdoUA+NCmNQniuGdQuka6ZT/3kW7JkF9ClTyWPTnH6Pf/gd66FkNzlTWWGFOG/08wfTzBB+3rbTS5GBRBRnV0whmFFrTCn6fU8q6nw/XOn8WZFfEV0+S0CncyZBuJj1CqnCHyCIhonXLK6nks90FbMooZnNGse8P1O6RLqb2i2J4YhgDY4PltJDoUJTWWje8W8s7cOBAoEs4IZ19EPOh/wd9B2Lc8WBA/6KvrNIcKraCO6N6gv4jYV5zPuAuEU4Gx4cwJCGE0+NDiZBbRU6Zx+MhOzs70GW0SVprCsqqOFBYYf0ctn7vP1zBzwXWcHa4y8awhBCGdQpleKdQ+SOzCeS/1ebh73ZNTKx/bg7pUZ8i5YlHXXKddQX4l5+iRo4LWC0OmyIxwklihPO4bVWmJp9g1mzfz9aDJazeXcCKnfkooEe0iyHxIQxJCGVgXLCsESv8qrDcCuOM6hDOKKzgQGElBw5XUOo1ffvZDYgPc5IY7mDywAT6Ryp6RQfJYhFCVJOgbgI1bgr6qzXWVeCDzkCFRwa6pOPYDEV/Txhuw80lA914Tc3OnFK2Zpaw5WAJy3fk8+72PAwFfd1BDI4PZUhCCKd5ZHhRNKyksoqM6vDNKKxgf+HRQC6sscyioSAu1DoVc1qvCOsPy3AnncKdxIU6fKEsvT8hjidD302k9/+M+chvUWeOwvj17wNdTp1O9I9fudfk++xStlQH987q+0/thuK02GCrxx0fQh93cJubvKHK1OSVeXEayu9XAreXQDG1psxrUlppUlJZ+3ep16Sksqr2a5UmJV6TovIqMgqPX93JHWInMdwK4cQIh+9xfJijUTPwtZd2bU2kTZuHDH23IapzN9SUK9DvvYY+61zU0ORAl3RSXHaDIQmhDEkIBawe0rasUrYeLGFLZjGvbcnmVawL1AbGhjA4IYQh8aH0jHYFfGiypLKK7GIvh4orOVRSyaFiL9k1HueUVPrmWE4Ic9DfE0w/TxD9PcH0iGo/s0Z5TU1heRWHy6s4XO61fpdV+V4rqqiqDt0aYVsjjBvDbkCIw0awwyDEYRDqMDgjMay6Z+zw9Y5lFEYI/5Og9gM15XL0xjTMf/0No98gVHBIoEs6ZSEOG0mdw0jqbC0Ycri8im8PlrDlYDFbMkt4edMh4BBOmyLUaSPUYRDqtBHmNAh12AhxGr7XQqtfC3UatfYNdRoNThZxpDd8qPj4AM4uqSSruJLiitohYyjwhNiJDXUwMDYYT2gEnhA7pZUmO3JK2XKwhM9+OgyAw1D0igmivyeIfu5g+nuCiQ21B/w2nypTU1xxJHRr/xQeCeKy2q8VV9YftkdCNcRpI9huEO60ERfq8AWu77fdVsdrR5/LfPRCBI4EtR8ouwPjV7djzr0H/fbLqGtvC3RJfhPhsnF2t3DO7hYOQG6pl62ZxfyYV05xhRUSxRVVvqt4SypMiiqqfD3Z+tgNVTvIqwPhcHkVh4orySnxHvceoU6D2BAHsaHW0oCxIQ48odbz2FAH0UH2E/bytdZkl3jZkVPKjuwyvs8u5cOd+fxnex4A0UFHb4/r7wmiT0wwwQ7/BZTX1OSUVJJdYv3hkV1i/dFx5HlOidUbrq/pXDZFhMtGRJCNcJedhHCn9bzGT/iRx0F2wp22djNqIERH1qig3rx5M0uXLsU0TSZMmMD06dNrbd+/fz/PPfccu3fv5qqrruKiiy7ybZs5cyZBQUEYhoHNZmPu3Ll+/QKtherVHzVhGjr1P+jkc1D9BgW6pGYRE2zn3J6RnNuz/n201lRUaYpqBHlJhel7XFxhUlx5zO+KKrJLvES4bAyIDSH2SACHOIgNdeAJtTf5qnSlVPX7OhjdLQKwwvOnvHK+zy6tDvBSvtxXBFg99G6RLt+QeT9PMF0inBh19LqrTE1+mbdWCB8qqSS7+GgY55d6jwvhUKeBJ8SBJ8ROX3cwUcFHQtd+XPjKsLIQHVODQW2aJkuWLOH+++/H7XYze/ZskpKS6NKli2+fsLAwbrjhBtLT0+t8jwcffJCIiAj/Vd1Kqem/RG/6L+Yrf8V48M8ox/G3S3UESilcdoXLbuAOdDENsBuKPu4g+riDmEo0YA3378wu5fucUr7PLmPdz4dZuSsfsIaS+7qD6JdQQGZekS+Yc0uPHwEIsitfCHdPDMUTYreehzp8j/3ZYxdCtE8NBvWuXbtISEggPj4egFGjRpGenl4rqCMjI4mMjGTjxo3NV2kboFxBGL+aibngQfT7r6MuuS7QJYlTEOGycWbnMM6sPk9vas2BwxXsyLGGy7/PLuX9bw8S6bLhCXUwKD7EF8ixNUI41GkE/Jy3EKLtazCoc3NzcbuP9ovcbjc7d+48qQ+ZM2cOABMnTiQlJaXOfVJTU0lNTQVg7ty5eDyek/qMVuOciRR8/SVlH75NZMpUHD37Bboi7HZ7223PViIuFob1Pvrcbrfj9XoDV1A7Jf+t+p+0afNoyXZtMKjrus36ZHoJjzzyCDExMRQUFPDoo4+SmJjIwIEDj9svJSWlVoi35fv+9EXXwvo0cp95BOO+eShbYGf8kvso/U/atHlIu/qftGnzaMn7qBs8QeZ2u8nJyfE9z8nJITo6utEfHhMTA1jD48nJyezatavRx7ZVKjQc4+rfwM8/oFPfDXQ5Qggh2rAGg7p3795kZGSQlZWF1+slLS2NpKSkRr15WVkZpaWlvsdbtmyhW7duTau4rThzNAwbgX73VXRW25hlTQghROvT4NC3zWbjxhtvZM6cOZimybhx4+jatSurVq0CYNKkSeTn53PvvfdSWlqKUorly5fz9NNPU1hYyLx58wCoqqpizJgxDBs2rFm/UGuhlMK49lbMB27HfGUhxt2PyoVFQgghTprM9d3MzDUr0f9YiLpuJsY5kwNSg5yj8j9p0+Yh7ep/0qbNo1WdoxZNo8ZOgv6D0W++hM7PafgAIYQQogYJ6mamlML41UzwVmL+a3GdV9ELIYQQ9ZGgbgEqLhF18TWw+b+wMS3Q5QghhGhDJKhbiEq5GLr3wfzXInRxYaDLEUII0UZIULcQZbNh/Op2KC5Ev/FioMsRQgjRRkhQtyDVrRdq8qXotI/R2zYFuhwhhBBtgAR1C1PTroL4zpivLESXlwW6HCGEEK2cBHULUw6nNQSek4Ve9q9AlyOEEKKVk6AOANVvEOq8C9Af/wf94/eBLkcIIUQrJkEdIOrS/4EoN+Yrf0V7KwNdjhBCiFZKgjpAVHAIxrW3wf496BVvBbocIYQQrZQEdQCpocmos85Bf/AG+sDPgS5HCCFEKyRBHWDqql9DcLA1BG5WBbocIYQQrYwEdYCp8EjUL26GH7ajVy8PdDlCCCFaGQnqVkCNOA9OPxP9zj/Q+/cEuhwhhBCtiAR1K6CUwvjlDHAFYT4+C73h80CXJIQQopWQoG4llDsW4/4F0Lk75qInMN9ciq6Sc9ZCCNHRSVC3IirajTHrMdR5U9Ar38F85kF0YUGgyxJCCBFAEtStjLI7MK69FXX9nbDrO8xHf4fevTPQZQkhhAgQCepWyhg9AePeJ0EZmE/+AXPtqkCXJIQQIgAkqFsx1b03xv1PQ7/B6Ff+at1rXSnTjQohREciQd3KqbAIjDsfQE25Ar12FeaT96JzDwW6LCGEEC1EgroNUIYN45LrMGbcB5n7MB/5Hfq7rwNdlhBCiBYgQd2GqOEjMf44H8IjMRc8iLnyHbTWgS5LCCFEM5KgbmNUQheM+56CM0ai31yKXvwkuqwk0GUJIYRoJhLUbZAKCsG45Q+oy29Ab/wC87FZ6Mx9gS5LCCFEM5CgbqOUUhiTL8H43Z+gsABzzt3oTf8NdFlCCCH8TIK6jVMDhmL87wJI6IL53GOYb78iy2UKIUQ7IkHdDqiYWIx7HkeNnYRe8Sbmn/+ELjoc6LKEEEL4gQR1O6EcToxf3Y761e2w4xvMR+9C7/kh0GUJIYRoIgnqdsYYOwnjnrmgTcwn/oD5+ceBLkkIIUQTSFC3Q6pnP2vJzN6noV/6M4VLnkGbZqDLEkIIcQokqNspFR6J8ds/oVIuouT9N9BLn0F7vYEuSwghxEmyN2anzZs3s3TpUkzTZMKECUyfPr3W9v379/Pcc8+xe/durrrqKi666KJGHyuaj7LZ4MqbCI3vRNG/FqNLSzB+MwvldAW6NCGEEI3UYI/aNE2WLFnCfffdx4IFC/j888/Zt6/25BphYWHccMMNTJs27aSPFc1LKUXo5f+DuvZW2JJuXRFeKjOZCSFEW9FgUO/atYuEhATi4+Ox2+2MGjWK9PT0WvtERkbSp08fbDbbSR8rWoZx3hTUTXfBD99hzr8fXSi3bwkhRFvQYFDn5ubidrt9z91uN7m5uY1686YcK/zPGHGutQLXgZ+rl8vMDnRJQgghGtDgOeq6VmdSSjXqzU/m2NTUVFJTUwGYO3cuHo+nUZ8hGma324+25/gLqIhPIH/OLJg3m6iHnsWe2DWwBbZBtdpU+I20q/9JmzaPlmzXBoPa7XaTk5Pje56Tk0N0dHSj3vxkjk1JSSElJcX3PDtbenv+4vF4ardnfFfU3XMwn3mQnHt/Y10d3q1X4Apsg45rU+EX0q7+J23aPPzdromJifVua3Dou3fv3mRkZJCVlYXX6yUtLY2kpKRGfXBTjhXNS3XvbU2M4nBgzvsjete2QJckhBCiDkrXNT59jI0bN/Lyyy9jmibjxo3j0ksvZdWqVQBMmjSJ/Px87r33XkpLS1FKERQUxNNPP01ISEidxzbGgQMHmvbNhM+J/vLTOYcwFzwAeYcwbpuNOv3MFq6ubZJeSvOQdvU/adPm0ZI96kYFdSBIUPtPQ/9B6cP5mM88CAf2om76HUby2Basrm2Sf/yah7Sr/0mbNo9WNfQt2j8VEYXx+8egZz/08/Mw13wY6JKEEEJUk6AWAKiQUIzf/gkGnYH+x3OYK94KdElCCCGQoBY1KJcLY+Z9qOSx6Ldfxnzr5TpvsRNCCNFyGjXXt+g4lN0BN98FIaHoD9+CkiK49laUYWv4YCGEEH4nQS2OowwbXHsbhIShV7wJpSVw42+tEBdCCNGiJKhFnZRSqEt/hRkahn7zJWvlrVvvRblk5S0hhGhJco5anJAx+VLUdTPh242YzzyALikKdElCCNGhSFCLBhnnTMb4zSzYvRPzqT+iD+cFuiQhhOgwJKhFo6ikMRi33w9ZBzCfmI3OyQp0SUII0SFIUItGU6efgfG7h6GwAPPxWZj/XY02zUCXJYQQ7ZoEtTgpqs8AjHsehyg3eskCzMd+j/7+m0CXJYQQ7ZYEtThpqksPjPvmoW76HRTmY867j6q/PorO3Bfo0oQQot2RoBanRBkGxshxGI/8DXXJdfD9VswHb8d8dRG6sCDQ5QkhRLsh91GLJlFOF2rKFegxE9Hv/Rv92Yfo/36KuuAKVMo0lMMZ6BKFEKJNkx618AsVEYVx7a0YD/0F+g6y5gq//zbMLz+TC86EEKIJJKiFX6lOXbH9v//FuOsRCAtHvzAf8/FZ6B3fBro0IYRokySoRbNQA4Zi/PFp1A2/hfxczKdmU/XcY+jM/YEuTQgh2hQ5Ry2ajTIM1Kjx6DNHo1PfRa94C3PL7ajzpqCm/gIVHhHoEoUQotWToBbNTrlcqKlXWhec/ec19CcfoNM+QU29EjV+qlxwJoQQJyBD36LFqMhojOtmYDz4LPQZgH5zKeb/zsD8ag1a60CXJ4QQrZIEtWhxqnM3bHc8YE1HGhyCfn6edcHZrm2BLk0IIVodCWoRMGrgMIz/XYC6/g7Iy8Z84l6qFjyI3rZZethCCFFNzlGLgFKGDTU6BZ00Bv3J++iP38Nc8AB07YmafCkqaQzKZgt0mUIIETDSoxatgnIFYVxwOcbjL6B+dTtUVlr3YN/3G8zUd9FlpYEuUQghAkJ61KJVUQ4Hauwk9OgU2JKOufId9OtL0O/9G3XuBagJ01CR0YEuUwghWowEtWiVlGHAsBHYho1A/7Adc9U76A/fQn+0DHX2eNTE6ahOXQJdphBCNDsJatHqqd6nYbttNvrgAfRHy9Bpn6DXroKhZ2FMvhT6DEApFegyhRCiWUhQizZDxSeifjkDfdE16NXL0Z9+gPnkvdCrP8bkS2DYCJQhF54JIdoXCWrR5qiIKNTF16DPvxSd9jH6o3cx/zYX4hJREy9GjRqPcroCXaYQQviFBLVos5QrCDVuKvqc89Ebv0CvfBv9r7+h//OqNTXpeVNQYTKfuBCibZOgFm2estlQyWPQSaNhxzfWleLvvope8RZqdApq0nSUJz7QZQohxCmRoBbthlIK+g/G1n8wev/P6FXvoNesRK9diRo/DTX1ClRIWKDLFEKIkyITnoh2SXXuhnHDnRiP/R111rnoj5Zh/vEWzE/eR3u9gS5PCCEarVE96s2bN7N06VJM02TChAlMnz691natNUuXLmXTpk24XC5mzJhBr169AJg5cyZBQUEYhoHNZmPu3Ll+/xJC1EfFeFA33ImecCHmGy+iX/s7evUHGJffAEOS5bYuIUSr12BQm6bJkiVLuP/++3G73cyePZukpCS6dDk62cSmTZvIzMzk2WefZefOnbzwwgs89thjvu0PPvggERFyUY8IHNWtN8bdj1qznf3fUsy/PgqnDcG44kZUt16BLk8IIerV4ND3rl27SEhIID4+HrvdzqhRo0hPT6+1z/r16znnnHNQStGvXz+Ki4vJy8trtqKFOBVKKdTQszAe+gvq6t/Avt2Yj/4O86U/o/NzAl2eEELUqcEedW5uLm632/fc7Xazc+fO4/bxeDy19snNzSU62pqTec6cOQBMnDiRlJQUvxQuxKlSdjtq/IXokeehP/g/9CfvodPXWat1Tb4E5QoKdIlCCOHTYFDXtS7wsef1TrTPI488QkxMDAUFBTz66KMkJiYycODA4/ZPTU0lNTUVgLlz59YKftE0drtd2rNOHrhtFt5LrqHoH3+j/L3XUJ9/ROg1vyHovAtOuLymtGnzkHb1P2nT5tGS7dpgULvdbnJyjg4L5uTk+HrKNffJzs6uc5+YmBgAIiMjSU5OZteuXXUGdUpKSq3eds33E03j8XikPU/E7oIbfosxdjLmG0s4/NfHOPzua9b56wFD6zxE2rR5SLv6n7Rp8/B3uyYmJta7rcFz1L179yYjI4OsrCy8Xi9paWkkJSXV2icpKYk1a9agtWbHjh2EhIQQHR1NWVkZpaXWOsJlZWVs2bKFbt26NfHrCNE8VJ8BGLOfQv3691BSjPn0/1L110fRmfsCXZoQogNrsEdts9m48cYbmTNnDqZpMm7cOLp27cqqVasAmDRpEsOHD2fjxo3ccccdOJ1OZsyYAUBBQQHz5s0DoKqqijFjxjBs2LDm+zZCNJFSCnXWOejhI9Gp76GXv4H50P9DnXM+atrVqHC5e0EI0bKUrusEcytw4MCBQJfQbsjQ16nTh/PR772GXrMSXMGoqVeixl9IbKdO0qbNQP5b9T9p0+bRqoa+hejIVEQUxrW3YTz4LPQZgH5zKeYDMyhdswpdXhbo8oQQHYDM9S1EI6jEbtjueAC9bRPmGy9yeMFDYLdD7wGoAUNRA4dD916yHrYQwu8kqIU4CWrgcIwHniHiwB4K/vsZettm9LJ/opf9E0LD4bTBqIHDUQOHyYpdQgi/kKAW4iQpw4Zr2FkYXaypR/XhfPR3X8N3m9HbvkZvSEMDxHWyAnvAMCvAZeUuIcQpkKAWoolURBRqxLkw4lxr8p/M/ehtm6ze9hefoj9dAcqAnn2PBnev/ii7/O8nhGiY/EshhB8ppaBTF1SnLjBhmrWk5o/fo7/bbAX3B/+Hfv91cAVbvewBw1ADh0FCZ1nJSwhRJwlqIZqRstuh3yBUv0Fw8bXokiLYvvVocH/9lTVMHu1BDRwKg85EDRomw+RCCB8JaiFakAoJgzPORp1xNgA6+yB622bYthm96Uv4/GO0YUCfAajTk1BDkiCxm/S2hejAJKiFCCDliUedMxnOmYw2q+DHHeitG9DfrEe//TL67ZchxmOF9uAzYcBQWd1LiA5GglqIVkIZNqsn3WcAXPJLdH5OdWhvQH/1GXrNh9a92/0GowafiRqShIqrfzYjIUT7IEEtRCulotyosZNg7CS0txJ2brNCe8t69OsvoF9/AeISfaFN39NRDkegyxZC+JkEtRBtgLI7rGHvAUPhihvRhzKPhvaaleiP3wNXEJw2BDXYGiZXMbGBLlsI4QcS1EK0QSo2ATVuKoybii4vhx1brdDeuv7oleSdu1uhPXAY9OyHCgoOcNVCiFMhQS1EG6dcLhichBqcVD3hyr6jof3RMvSHb1kTrnTujurVH3r3R/U6DeIT5WpyIdoACWoh2hFrwpWuqE5dYfIl6JJi+HE7+ofv0T9uR6evgTUfWj3u0HBrhrRe/azg7tkPFRwS6K8ghDiGBLUQ7ZgKCYXTz0SdfiYA2jQhYx/6x+3WjGk/bLd63gBKWfds9+pvBXjv0yC+M8qQ1XCFCCQJaiE6EGUY0LkbqnM3GDsJwJotbfdOK7R3f4/e8DmsXWWFd0io1dPudVp1gPeTWdOEaGES1EJ0cCokDAYNRw0aDlT3ug/uR/9Q3ev+8Xv0+/+2zn+DNbTeqx8kdEHFdYK4RIjtZJ0rF0L4nQS1EKIWZRhHz3OPmQhgnev+aad1nvvHHegt663pTmseGO2xlvaM62RdqBaXWB3i8SinhLgQp0qCWgjRIBUSCgOrV/qqpkuKICsDffAAHMqAgxnorAPoTV9AUeHREFcKot3W5CxxiRDfqUZPPAHlcAbiKwnRZkhQCyFOiQoJgx59UT36HrdNF1eHeNYBqA5yffCAdf67+JgQj4n19cSLu/XEdAajoj0Q44GoGAly0eFJUAsh/E6FhkHPvqiedYV44dGeeNaB6kDPQKevo+izD619ah4QHmn1yKM9qGg3RLkhJtZ6HO2BKLecHxftmgS1EKJFqdBw6BmO6tnvuG0xocHk7NoJednovBzIyz76OCcLves7KC4Ejgnz0PAaYe6pHewxseCOk3nQRZslQS2EaDWM4FBUpy7QqQv1zZmmy8shPwdyDx0N8/wc63HuIfTuHVB02Nr3yEFHzpN7ElCx8eBJsM6Px1q/CYuQWdpEqyVBLYRoU5TLBfGJ1pXl9eyjKysgLwfyctA5ByH7IBw6iM7ORH+zCQpyrf2OHOAKhuoAV7HxVoh7EqzX3PHSGxcBJUEthGh3lMMJcZ2si9Q4/bjturwcco6GN4cy0dkHIesAettGqKg4cW/cE4cKDgWnC4KCwRkELpe1gpkzCJxO6aELv5GgFkJ0OMrlgsRu1pSpx2zTWsPhfCu8D1khTnYm+tBB9LebIP+Y3nidH6COCe8jgW49V75twbUDPiTUuhAvNBzCIiA0zHrNsDVTS4i2QIJaCCFqUEpBZDRERqP6DDhuu64oh9xDUFYK5eVQUYYuK4OKMigv871Gjdf0kdfKy6CwAF1eBhXl1fuXgT4a+8f9AaAUBIdCWLgV4KHhqBqPCQuHkDBUWITvMWEREBQsvfp2QoJaCCFOgnK6IKFL7dea8H5aa6issAK+tAiKCqG4CF182PeY6se6uMgK+sx91tXvpSVH3+fYN7bZICSM7MhoqkJCITwSFR4JYZEQHgHhUajwCOv2t/AICI1A2aTn3hpJUAshRAAppawhcafLCsy46tcbcaz2eqGkyArtokJrMpkajykuxF5RTlVOFuz/GV1UYAV/dQ++VrgrZQ21+4K8OthrhLvveXikbyhfeu3NT4JaCCHaKGW3Q0SU9XPktWP2ifJ4yM7O9j3XVVVWD73wsNU7LzwMRQVwuACKCtCFBda2jH3oHd9agV9XsMPRc/FBQdZ5dldQjfPuwSjXkW3B1rag6nPxriBUUPDR/Y8c73SBwwUOhyyvWoMEtRBCdCDKZoOIaOuHhnvu2qyyeuFHAvxImJeVWufXj5yLLytDl1e/VlIMudnWufgjP97K2u/bUKF2BzidVnA7neCo/vG95kI5j33tmOcOp7WP3Q42R/Vvu/W75mt1vW6ztZo/FiSohRBC1EsZtqPD3UdeO4X30V7v0Yvsysug/GjQ64oyK/gryqGiAiqP/K7wnb/XleXW44oKKC2GglzrfnnfftXHHPu5Tfju2GxHA9xmt/54qH5ceuUNMDi5Ke/eaI0K6s2bN7N06VJM02TChAlMnz691natNUuXLmXTpk24XC5mzJhBr169GnWsEEKI9k/Z7WAPs65KP3abnz5Da2313GsGfmUleL3W61Ve63GV1/dYe48+trZV1nhc83dlrdeMiMiGC/KTBoPaNE2WLFnC/fffj9vtZvbs2SQlJdGly9GrHjdt2kRmZibPPvssO3fu5IUXXuCxxx5r1LFCCCGEPyiljg6RhzbymFP8LJfHQ2GNc//NqcEB+F27dpGQkEB8fDx2u51Ro0aRnp5ea5/169dzzjnnoJSiX79+FBcXk5eX16hjhRBCCFG/BoM6NzcXt9vte+52u8nNzT1uH4/Hc9w+jTlWCCGEEPVrcOhb6+NPxR9731x9+zTm2CNSU1NJTU0FYO7cubWCXzSN3W6X9vQzadPmIe3qf9KmzaMl27XBoHa73eTk5Pie5+TkEB0dfdw+Ne/TO7KP1+tt8NgjUlJSSElJ8T3PbqGx/47Ac8x9lKLppE2bh7Sr/0mbNg9/t2tiYmK92xoc+u7duzcZGRlkZWXh9XpJS0sjKSmp1j5JSUmsWbMGrTU7duwgJCSE6OjoRh0rhBBCiPo12KO22WzceOONzJkzB9M0GTduHF27dmXVqlUATJo0ieHDh7Nx40buuOMOnE4nM2bMOOGxQgghhGgcpes6kdwKHDhwINAltBsy9OV/0qbNQ9rV/6RNm0erGvoWQgghROC02h61EEIIIaRH3SHce++9gS6h3ZE2bR7Srv4nbdo8WrJdJaiFEEKIVkyCWgghhGjFJKg7gJoTyQj/kDZtHtKu/idt2jxasl3lYjIhhBCiFZMetRBCCNGKNTgzmWg7srOzWbhwIfn5+SilSElJYcqUKRQVFbFgwQIOHTpEbGwsv/vd7wgLO37xdlE/0zS59957iYmJ4d5775U29YPi4mIWLVrE3r17UUpx2223kZiYKO3aBO+//z6ffPIJSim6du3KjBkzqKiokDY9Sc899xwbN24kMjKS+fPnA5zw//l33nmHTz75BMMwuOGGGxg2bJhf65EedTtis9m47rrrWLBgAXPmzGHlypXs27ePZcuWMXjwYJ599lkGDx7MsmXLAl1qm7N8+XI6d+7sey5t2nRLly5l2LBhPPPMMzz11FN07txZ2rUJcnNzWbFiBXPnzmX+/PmYpklaWpq06Sk477zzuO+++2q9Vl877tu3j7S0NJ5++mn++Mc/smTJEkzT9Gs9EtTtSHR0NL169QIgODiYzp07k5ubS3p6Oueeey4A5557Lunp6YEss83Jyclh48aNTJgwwfeatGnTlJSU8N133zF+/HjAWjIwNDRU2rWJTNOkoqKCqqoqKioqiI6OljY9BQMHDjxu1KG+dkxPT2fUqFE4HA7i4uJISEhg165dfq1Hhr7bqaysLHbv3k2fPn0oKCjwLS8aHR3N4cOHA1xd2/LSSy/xy1/+ktLSUt9r0qZNk5WVRUREBM899xx79uyhV69eXH/99dKuTRATE8O0adO47bbbcDqdDB06lKFDh0qb+kl97Zibm0vfvn19+8XExJCbm+vXz5YedTtUVlbG/Pnzuf766wkJCQl0OW3ahg0biIyM9I1UCP+oqqpi9+7dTJo0iSeffBKXyyVDsk1UVFREeno6CxcuZPHixZSVlbFmzZpAl9XutcSNU9Kjbme8Xi/z589n7NixjBgxAoDIyEjy8vKIjo4mLy+PiIiIAFfZdnz//fesX7+eTZs2UVFRQWlpKc8++6y0aRO53W7cbrevJzJy5EiWLVsm7doEW7duJS4uztdmI0aMYMeOHdKmflJfO7rdbnJycnz75ebmEhMT49fPlh51O6K1ZtGiRXTu3JkLL7zQ93pSUhKfffYZAJ999hnJycmBKrHNueaaa1i0aBELFy7kt7/9Laeffjp33HGHtGkTRUVF4Xa7fcvZbt26lS5duki7NoHH42Hnzp2Ul5ejtWbr1q107txZ2tRP6mvHpKQk0tLSqKysJCsri4yMDPr06ePXz5YJT9qR7du388ADD9CtWzeUUgBcffXV9O3blwULFpCdnY3H4+Guu+6S2zNOwbfffst7773HvffeS2FhobRpE/30008sWrQIr9dLXFwcM2bMQGst7doEb7zxBmlpadhsNnr06MGtt95KWVmZtOlJeuaZZ9i2bRuFhYVERkZy5ZVXkpycXG87vv3226xevRrDMLj++usZPny4X+uRoBZCCCFaMRn6FkIIIVoxCWohhBCiFZOgFkIIIVoxCWohhBCiFZOgFkIIIVoxCWoh2qErr7ySzMzMQJdxnDfeeINnn3020GUI0abIzGRCNLOZM2eSn5+PYRz9u/i8887jpptuCmBVQoi2QoJaiBbwhz/8gSFDhgS6jHalqqoKm80W6DKEaHYS1EIE0KeffsrHH39Mz549+eyzz4iOjuamm25i8ODBgDVv8PPPP8/27dsJCwvj4osvJiUlBbCWNFy2bBmrV6+moKCATp06MWvWLDweDwBbtmzhscceo7CwkNGjR3PTTTf5Zqyr6Y033mDfvn04nU6++uorPB4PM2fOpHfv3oA1jP7ss8+SkJAAwMKFC3G73Vx11VV8++23/OUvf+GCCy7gvffewzAMbr75Zux2Oy+//DKHDx9m2rRpXHrppb7Pq6ysZMGCBWzatIlOnTpx22230aNHD9/3ffHFF/nuu+8ICgpi6tSpTJkyxVfn3r17cTgcbNiwgV/96le1lh4Vor2Sc9RCBNjOnTuJi4tjyZIlXHnllcybN4+ioiIA/vznP+N2u1m8eDF33303r732Glu3bgXg/fff5/PPP2f27Nm8/PLL3HbbbbhcLt/7bty4kccff5ynnnqKL774gq+//rreGjZs2MCoUaN46aWXSEpK4sUXX2x0/fn5+VRWVrJo0SKuvPJKFi9ezNq1a5k7dy4PP/wwb731FgcPHvTtv379es4++2xefPFFRo8ezVNPPYXX68U0TZ544gl69OjB4sWLeeCBB1i+fDmbN2+udezIkSNZunQpY8eObXSNQrRlEtRCtICnnnqK66+/3veTmprq2xYZGcnUqVOx2+2MGjWKxMRENm7cSHZ2Ntu3b+faa6/F6XTSo0cPJkyY4Fu68OOPP+aqq64iMTERpRQ9evQgPDzc977Tp08nNDQUj8fDoEGD+Omnn+qt77TTTuOMM87AMAzOOeecE+57LJvNxqWXXordbmf06NEUFhYyZcoUgoOD6dq1K126dGHPnj2+/Xv16sXIkSOx2+1ceOGFVFZWsnPnTn744QcOHz7M5Zdfjt1uJz4+ngkTJpCWluY7tl+/fpx11lkYhoHT6Wx0jUK0ZTL0LUQLmDVrVr3nqGNiYmoNScfGxpKbm0teXh5hYWEEBwf7tnk8Hn744QcAcnJyiI+Pr/czo6KifI9dLhdlZWX17hsZGel77HQ6qaysbPQ54PDwcN+FckfC89j3q/nZbrfb99gwDNxuN3l5eQDk5eVx/fXX+7abpsmAAQPqPFaIjkKCWogAy83NRWvtC+vs7GySkpKIjo6mqKiI0tJSX1hnZ2f71rp1u90cPHiQbt26NWt9LpeL8vJy3/P8/PwmBWbNtXtN0yQnJ4fo6GhsNhtxcXFy+5YQx5ChbyECrKCggBUrVuD1evniiy/Yv38/w4cPx+Px0L9/f1599VUqKirYs2cPq1ev9p2bnTBhAq+//joZGRlordmzZw+FhYV+r69Hjx6sW7cO0zTZvHkz27Zta9L7/fjjj3z55ZdUVVWxfPlyHA4Hffv2pU+fPgQHB7Ns2TIqKiowTZOff/6ZXbt2+embCNE2SY9aiBbwxBNP1LqPesiQIcyaNQuAvn37kpGRwU033URUVBR33XWX71zznXfeyfPPP88tt9xCWFgYV1xxhW8I/cj53UcffZTCwkI6d+7M73//e7/Xfv3117Nw4UJWrlxJcnIyycnJTXq/pKQk0tLSWLhwIQkJCdx9993Y7dY/RX/4wx945ZVXmDlzJl6vl8TERH7xi1/442sI0WbJetRCBNCR27MeeeSRQJcihGilZOhbCCGEaMUkqIUQQohWTIa+hRBCiFZMetRCCCFEKyZBLYQQQrRiEtRCCCFEKyZBLYQQQrRiEtRCCCFEKyZBLYQQQrRi/x+2RWxikKkc+gAAAABJRU5ErkJggg==", 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lJRaLhYULF/qu27711lts3LgRpRS5ubnMmTOnR4XJMJfnbsmSJVx++eXMmjVLhrn0s5OHuFPudvimpOOIeTd8vRfaXaBp3ueXR0/0HjGPGCd3Zp+BDMnof9KmgRFSw1wahsGaNWt49NFHsVqtPPzww+Tk5JCRkeFbZ/369WRnZ1NQUEB5eTlr1qxhyZIlHDp0iI0bN/L4449jNpt5/PHHmTJlCoMHD/bPnvUxvTnMJXiP2C+66KKAb2cgUh43av8+7zXmvbuhdA+4Ou4lyBiKdsmVaKMnejsciYoJbrFCiD6t26AuLS3tdGp2xowZFBcXdwrqsrIyrr/+egDS09Oprq6mrq6O8vJyRo4cSXhHx/5jx45ly5Ytvhunvo0eHPj3Cb01zCXge2a7K/2lTXuTMjyodzZQ/Y+/eLvqBO+zzDPzvEfMoyagxcgd9kII/+k2qB0OB1ar1TdttVopKSnptM6QIUPYvHkzY8aMobS0lOrqahwOB5mZmbz66qs0NjYSFhbGjh07GD58+Gm3U1hYSGFhIQDLli07pdtLTdMwDAOL9LR0Vszmzv/U7e3txMTEdPq3FWfmrjhMw4pf0b7vcyKmXUT4xbMJG38+ujzL7Ddms1m6vPUzadPA6M127TaoT3fUdfLjQPn5+axbt46CggKysrIYOnQouq6TkZHBddddx69//WsiIiIYMmSI79Gkk+Xl5ZGXl+ebPvncv1KKtrY2Wlpa5DnSbyk8PLzTI15KKXRdJyIiQq5d9YAyDNT7b6H+ug7MFrS7HiDu6huw2+3gNkDa0G/keqr/SZsGRkhdo7Zard4/SB3sdruvY49joqKiWLRoEeANgcWLF/s66Ljsssu47LLLAHjllVfO+ghO0zR5Hvgsyf+oZ0/ZqzDWrYC9u2DCFPQ7/hUt0SpfFoUQveb0h7cnGD58OEeOHKGqqgq3201RURE5OTmd1mlubvbdVbxx40bGjh3ru5u4vr4e8B4hb9myhZkzZ/p7H4TwO6UUxieFGP/nX+FACdrt96Lf9xhaolwqEEL0rm6PqE0mE/Pnz2fp0qUYhsGsWbPIzMzk3XffBbwDP5SXl7Ny5Urf6e4FCxb4fn/58uU0NjZiNpu58847fV1oChGqVJ0D4+VVsKsYRk1An3cf2qDUYJclhBigevQcdTCc/By1OHty6rvnjOKPUX9aDS4n2g23o112Ldpp7quQNg0MaVf/kzYNjJC6Ri3EQKCaGlCvPIcq/giGjkL/8U/RBmd0/4tCCBFgEtRiwFOfFWO8vBKaGtHyb0O78kY0kwyEIYQIDRLUYsBSrS2oP/8B9UkhpA/x3iyWNSzYZQkhRCcS1GJAUl9+5n3sqtaOdtVNaNf+EE060xFChCAJajGgKKcT9fqLqE1vQko6+oPL0IaPCXZZQgjRJQlqMWCor/divPA0VFWg5V6Ldv0daOEy9rMQIrRJUIt+T7W3o954BfWP9ZBkQ3/g12hjzgt2WUII0SMS1KJfU4e+9h5Flx9Eu/BytLl3ynjQQog+RYJa9EuqpRn1tz+h3nsL4uLR//UXaOdNDXZZQgjxrUlQi35FKYXa/AHqv1+Axnq0S67yPhsdLV3XCiH6Jglq0W+oikMYrzwH+3ZD9kjvUXT2yGCXJYQQ50SCWvR5qq0V9earqML/gfBItNsWoV10OZouvYsJIfo+CWrRZymlYHsRxp/XQG0N2sw8tBt/hBYbH+zShBDCbySoRZ+kKiu8p7n37ICMoeh3F6CNGBvssoQQwu8kqEWfolxO1Nt/Qf3jr2C2oN38L2iXXi2DaAgh+i0JatFnqM+KMV79T6ipRJt2Cdr3f4yWkBTssoQQIqAkqEXIUzWVGK8+D59tgcGZ0rOYEGJAkaAWIUu1t6PeXY966zVA894olvc9NLOMciWEGDgkqEVIUnt2em8WqyyHKTPQf3AnWtKgYJclhBC9rkdBvXPnTtauXYthGOTm5pKfn99peVNTE6tXr6ayshKLxcLChQvJysoC4M0332TTpk1omkZmZiaLFi0iLCzM7zsi+gdVa0e9tga19WNIHoz+k8fQJnwn2GUJIUTQ6N2tYBgGa9as4ZFHHuGpp57ik08+oaysrNM669evJzs7myeffJLFixezbt06ABwOB2+//TbLli1j+fLlGIZBUVFRQHZE9G2qrQXjndcxfrEI9dkWtOtuQf8/v5eQFkIMeN0eUZeWlpKamkpKSgoAM2bMoLi4mIyMDN86ZWVlXH/99QCkp6dTXV1NXV0d4A16l8uFyWTC5XKRmJgYgN0QfZU6chj13t9Rn74Hba0wMQf9h3ejDUoNdmlCCBESug1qh8OB1Wr1TVutVkpKSjqtM2TIEDZv3syYMWMoLS2luroah8PBsGHDuPbaa1m4cCFhYWFMmjSJSZMmnXY7hYWFFBYWArBs2TJsNtu57Jc4gdlsDqn2VB43zuJPaH3rL7h2bwOzhYgLc4m66kYso8YHu7weCbU27S+kXf1P2jQwerNduw1qpdQp8zRN6zSdn5/PunXrKCgoICsri6FDh6LrOk1NTRQXF7Nq1SqioqL43e9+x4cffsjFF198ymfm5eWRl5fnm66pqTmb/RGnYbPZQqI9VUMd6qN3UR/+Axw1kDQI7frb0S68nPa4BOoBQqDOngiVNu1vpF39T9o0MPzdrmlpaV0u6zaorVYrdrvdN2232085fR0VFcWiRYsAb7AvXryY5ORkPvvsM5KTk4mLiwPgggsu4KuvvjptUIv+SSkF+/d5T29v+wTcbhg7Cf3mu+G8qdKjmBBCdKPboB4+fDhHjhyhqqqKpKQkioqKuO+++zqt09zcTHh4OGazmY0bNzJ27FiioqKw2WyUlJTgdDoJCwtj9+7dDB8+PGA7I0KHcjlRxR+hNv0dDn0NEZFoF1+JdunVaIMzuv19IYQQXt0GtclkYv78+SxduhTDMJg1axaZmZm8++67AMyePZvy8nJWrlyJrutkZGSwYMECAEaOHMn06dN58MEHMZlMZGdndzq9LfofVX0U9cHbqI8LobkR0rLQbl2ANv1StIioYJcnhBB9jqZOdxE6BFRUVAS7hH4j0NeolGHAnh0Ym/4On28DTYPzp6PPugZGjT/lnob+QK77BYa0q/9JmwZGSF2jFqIrqrkJVbQR9f5bUHUE4hLQ5vwA7eIr0BKt3X+AEEKIbklQi29N1dei/vYn1Ob3weWCEWPRrrsVbcp3pR9uIYTwMwlq8a0oZxvGiv8LR8q8151nzUHLHBrssoQQot+SoBY9pgwD44Wn4fAB9H/9BdrEnGCXJIQQ/V63fX0LcYx681XYXoR20zwJaSGE6CUS1KJH1NaPUW+8ijYjF+3y/GCXI4QQA4YEteiWOvg1xtqnYfgYtNsW9cvHrYQQIlRJUIszUvW1GKuWQkwc+qKH0SxyV7cQQvQmCWrRJdXuwnjmcWhuRL/3UbQ4GaJUCCF6mwS1OC2lFOqlVbB/H/qdP0PLGhbskoQQYkCSoBanpd55HfW/76FddwvalBnBLkcIIQYsCWpxCvVZMer1l9CmXoQ25wfBLkcIIQY0CWrRiSo/iPH8k5A1HO1H98kd3kIIEWQS1MJHNTZgrPw1RESg3/vvaOHhwS5JCCEGPAlqAYByt2M8uwzqHOiLHpHRr4QQIkRIUAvvHd7/9Z/w1edoP/pXtGGjg12SEEKIDhLUAvXe31EfvoN21Y3o0y8NdjlCCCFOIEE9wKk9O1F//gNMmoaWf3uwyxFCCHGSHg1zuXPnTtauXYthGOTm5pKfn99peVNTE6tXr6ayshKLxcLChQvJysqioqKCp556yrdeVVUVc+fOZc6cOX7dCXF2VGUFxnO/gcGZ6Hfdj6bL9zYhhAg13Qa1YRisWbOGRx99FKvVysMPP0xOTg4ZGRm+ddavX092djYFBQWUl5ezZs0alixZQlpaGk888YTvc+655x6mTZsWuL0RPaZamjBW/gp0k/cO74ioYJckhBDiNLo9hCotLSU1NZWUlBTMZjMzZsyguLi40zplZWVMnDgRgPT0dKqrq6mrq+u0zu7du0lNTWXQoEH+q16cFeXxYPznE1B9FH3hQ2iDUoNdkhBCiC50G9QOhwOr9fijOlarFYfD0WmdIUOGsHnzZsAb7NXV1aes88knnzBz5kx/1CzOkfrLOvhiB9qtC9FGTQh2OUIIIc6g21PfSqlT5p3cW1V+fj7r1q2joKCArKwshg4din7C9U632822bdu45ZZbutxOYWEhhYWFACxbtgybzdbjnRBnZjabfe3ZWvgmDYV/I+qaucRe3/W/hzizE9tU+I+0q/9JmwZGb7Zrt0FttVqx2+2+abvdTmJi5+EOo6KiWLRoEeAN9sWLF5OcnOxbvmPHDoYOHUpCQkKX28nLyyMvL883XVNT0+OdEGdms9moqalBlezBePa3MG4ybdf8EKe08Vk71qbCv6Rd/U/aNDD83a5paWldLuv21Pfw4cM5cuQIVVVVuN1uioqKyMnJ6bROc3MzbrcbgI0bNzJ27Fiioo7fnCSnvYNP1VRirP4PsKWg3/1zNJMp2CUJIYTogW6PqE0mE/Pnz2fp0qUYhsGsWbPIzMzk3XffBWD27NmUl5ezcuVKdF0nIyODBQsW+H7f6XSya9cu7r777sDthTgjo7UFY9VS8LjRFz+KFh0T7JKEEEL0kKZOdxE6BFRUVAS7hH5BGQaWF36Hc8vH6D95DG38+cEuqV+Q04mBIe3qf9KmgdGbp7571OGJ6JuUux3132txbv4Q7eZ/kZAWQog+SIK6n1IlezBeXgVHDhM55/s4L7sm2CUJIYQ4CxLU/YxqbkK9/iLqw3fAmox+3xLiZl0pp76EEKKPkqDuJ5RSqK0fo159Hpoa0Gbno33vFrTwiGCXJoQQ4hxIUPcDqqYS40/PwufbYMgI701jWcODXZYQQgg/kKDuw5THgyr8H9T/vAKahvaDu9Aum4OmyzPSQgjRX0hQ91HqQAnGyyvh8AGYNA39lnvQkmTAEyGE6G8kqPsY1daC2vAn1Ka/Q3wC+sKH4PzvntL/uhBCiP5BgroPUTv/F+OV/4Q6O9qlV6Hl344WFR3ssoQQQgSQBHUfoGrtGP/1HOz4X0gfgn7Pz9GGjwl2WUIIIXqBBHUIU4YH9cE/UK+/BB4P2g0/Qrv8OjSz/LMJIcRAIX/xQ5QqO4Dx0io48BWMm4x+60K05MHBLksIIUQvk6AOMcrpRL35KuqfGyAqBu3O+9EuuERuFhNCiAFKgjqEqC92YPzxGaipRJuZh3bTPLSYuGCXJYQQIogkqEOE2rMD4+nHIDUd/d8eRxs9IdglCSGECAES1CFAOdswXn4GUtLRf/E0Wlh4sEsSQggRIvRgFyDwdgFaU4l+x70S0kIIITqRI+ogUwdLUf/8H7SLZqONktPdQoiByWMoXB6FoRSGAk/Hq6EUHuPY+475xqnrGMZJ0x3LzZpGelwYyTEW9D56U64EdRApjwfjpZUQF49207xglyPEWfEYCrehaPd0vJ4wfcp7j6LdMDqte+y921BkJXuwmdvJjA8jzBSaJ/xa2j1UNbUTG24iMdLcZ//49waPoWhweqhtdVPX5qauzUNdm5v6Ng91rW5qT5jX6PRgqMDVEm7SyIwPJyshzPva8TMo2hzyT9X0KKh37tzJ2rVrMQyD3Nxc8vPzOy1vampi9erVVFZWYrFYWLhwIVlZWQA0Nzfz7LPPcvjwYTRNY+HChYwaNcrvO9IXqcK/waH96AseRIuKCXY5QnSprs3NVzWt7KtpY19NK9/UOXG6DdwdRzb+UwOArkF6XBhDEyIYkhhOdkI4QxPDSYrsvT+qre0GZQ1ODtY5OVzv4lCdk0P1Tmpa3L51zDpYoyzYoswMirJgi7YwKNr7flC0BVu0mShL3x/NTimF24B2w8DtUbgMRUNHwNZ1hO6x97VtbupbvcsanB5O959HmEkjMdJMQoSJ1BgLY2yRxEeYiLTomDQNXQOT7n3VNQ1Tx6tvWj8+bdI0dN+6HdMnfIbTbVDWcPzfb8eRFjbtb/DVEmHWyYwP8wZ3gvc1Mz4cW1ToBHi3QW0YBmvWrOHRRx/FarXy8MMPk5OTQ0ZGhm+d9evXk52dTUFBAeXl5axZs4YlS5YAsHbtWiZPnswDDzyA2+3G6XQGbm/6EFV91HttetI0mDIj2OUI4eM2FAdq2/iqI5T31bRytKkdAJMG2YkRzMiMJcqiY9Y1LCbN92rRT//erHdMmzq/Wky6b5lJB3dYLDv2H+GbOicHap3srWnhw4PH/6jGhulkJ0aQnRBOdmI42QkRZMaHEW4++6Nvp9vwBnG9k8P1zo4/6C6qmtt961h0jYz4MMYlR5EVH0ZqTBhNLg/Vze1Ut7ipaW5nT3ULNQfdp3xxibbo3gCPMneE9wnvoywkRZkx690HgsdQOD0GTrfC6TZweo69dszreHWdNK1bGmhsbjnhjMapZ0C6e+/uwbexcJNGwrHwjbUwZlAkCZEmEiK88xIjzCREmr2BbNZ7NQTHJUd1mm50ejjU8W99uN777721oomN+z2+daIseseRdxhZCeEdAR7Wq18Wj+k2qEtLS0lNTSUlJQWAGTNmUFxc3Cmoy8rKuP766wFIT0+nurqauro6wsLC+PLLL7n33nu9GzObMUv3lyilMF5eBboJ/ZYFIfOtTQxM9pb2TqFc6mjD5fH+YU6MNDPGFsEVIxMYY4tkeFLEOYVid9ISI4kaEsfMIcfnNbk8HKxz8k2tk2/q2vim1sm7pXU4O2rUNUiLDesI7nCGJkYwJOHUIyKXx6DMF8iujiNlJ5VN7b6jPrMO6bHhjLZFcPnweDI7/kCnxlgw9TBMa9vc3gBvdlPT0k5NR5hXN7ezr6aVRpfR6Xd0zdvOg6IsWEzaSSGscHWEsdvoYqNnYNYhzGzCrHHSF6TjX54suub70nXyF6sTv4SdOM+i68SFm0iIMHWEs5lIS2heqjid2HAT45OjGH9SgDe0uTnU8d/IsRDfXNbEP7+u960THaaTFR/ObdNgQkLv1NttajocDqxWq2/aarVSUlLSaZ0hQ4awefNmxowZQ2lpKdXV1TgcDnRdJy4ujmeeeYaDBw8ybNgw5s2bR0RExCnbKSwspLCwEIBly5Zhs9nOdd9CVut7b9Pw5WfE3v0AUaMCP7iG2Wzu1+0ZDP5sU7fHoLy+jcN1rQBEhZmIspiJDjN534eZiPDTEYjLbfBVdROfH2nki6Pen8pG71kui0lj1KAY8icOZsLgWManxpISG96rXyRP1642IDsNLjlhnsdQVNS3UVrTTGlNM193vH58sNG3Tmy4mRG2KGLCzXzjaKG8vs13tGvSNTITIhk3OJ45SVEMtXp/MuIjMJ/jtfEU4Ez/V7e2e6hqdHK00UnlST8eQ5EYoRNu9v6bR1g6v48wmwjv4n2EWSfc0rGuWSfcrGM26ZjNZtxu9xkqEsfYgGEZp86vbXGx397CAUcLB+wt7Le3oOk6NltSr9TVbVArdeopj5P/x83Pz2fdunUUFBSQlZXF0KFD0XUdj8fDgQMHmD9/PiNHjmTt2rVs2LCBm2+++ZTPzMvLIy8vzzddU1NzNvsT8lRjPcYLT8PwMTR/5yJaemE/bTZbv23PYDmbNm10eihvcFHW4Ox4dVFW76KyyYWnmzOLugaRHX+UI806kRadKIv39fi0yfc+8oRljU4P++yt7KtuZX+t03cac1CUmdGDIrlmVDyjbZEMSwzHcmJIuZqw25u+bdOck2/TrpHAxESYmBgNI73DvTYfO/o+4Qi8urGNzPhwZmRG+24gGhwbhsV00hcQo4W62hY/79HpRQPDo2F4tBlSzR1zzobR8dMRxO2g2qEV7w/I///+MiQShqSHcWl6GJCAzZbk13ZNS0vrclm3QW21WrHb7b5pu91OYmJip3WioqJYtGgR4A32xYsXk5ycjMvlwmq1MnLkSACmT5/Ohg0bzmYf+g315z9Aayv6HYvR9L5zqkj0jMdQVDW3U97g8oVyWb33fb3z+PUvs66RFmthSEIYM7JiyYgLIy0uDF3z3sTU2m7Q6jZoOfb+5Gm397W21dVpuqvADzNpjEiK4NrRiYweFMkoawTWKEsvtUrviQ4zMS456pRrkkL0Zd0G9fDhwzly5AhVVVUkJSVRVFTEfffd12md5uZmwsPDMZvNbNy4kbFjxxIVFUVUVBRWq5WKigrS0tLYvXt3p2vbA436fBtq8wdo19yMlpYV7HLEOWh2uSmxt3rDuN57dFzR4KK80dXpxpu4cBMZcWFMy4ghPS6MjLhwMuLDSI7u2TXPb0Mp73Oox0L7WICHm3SyE8N7dMOSECL0dBvUJpOJ+fPns3TpUgzDYNasWWRmZvLuu+8CMHv2bMrLy1m5ciW6rpORkcGCBQt8vz9//nxWrFiB2+0mOTnZd+Q90Ki2Vow/robUDLSrvx/sckQXPIairs2No9WNveXE13YcLW7srd55zSfcEKRrkBoTRnpcGFPSosmI975PjwsnLrz3Hs3RNI1ws0a4WSfh1NtAhBB9lKZOdxE6BFRUVAS7BL8y/rwGVfg39J8vQxs5rle3LdeovEebTS6jI3jbcbS6cRwL4o739lY39W2nPl5z7K7cpEgz1ijva5YtngSzm4w476M6p1zvFGdF/lv1P2nTwPB3u57TNWpx7tSBEtTGN9AuvrLXQzqUeQxFTUs7R5vaqWxqp7q5vXMXgsYJXQie2C2gcWI3gce6CqSjW8FTuxZs7gho12ku4MaGm7wBHGkmu6NDjeOBbMEaZSYu3HTKaWr54yeE6C0S1AGm3O6ObkIT0G78UbDL6VVKKeraPFQ2tXO0yUVVUzuVzd5Qrmxqp6alvdPRq97xrKeuaeg6vh6K9G/ZU5FZ1wg7oXeitFgda5SlUwhbo8wkRppDtptKIYQ4RoI6wNQ//wZlB9AXPowWdbaPYISuZpc3iL0B7PKFcGVTO1UdR8gnSowwkRwTxphBkaREx5ESY/H92KL8f4OVEEL0dRLUAaSqKlBv/BecPx1tyneDXc45MZSirN7FvppW9ta0cqDWSWWTi6aTelmKsuikxFjIiA/jO2nRpMSEkRJjITnGQkq0JaC9WgkhRH8kQR0gSinvXd5mM/ot9wS7nG+t0enxdSn5VU0rX9nbaGn3hnJMmM6IpAhGDYnzBnCMhZRobyDHhPVuH75CCNHfSVAHiCraBF9+hnbrQrQEa/e/EEQeQ3GwzukNZXsre6vbqGh0Ad7rxkMSwrk4O47RtkhG2yJJi7VIGAshRC+RoA4A1VCH+u8XYMQ4tIuvCHY5p6hrc3uPlqtb2Wdvo9TeSpvbey05PsLEaFskucPjGW2LYERSZJ/qbF8IIfobCeoAUH/+Azhb0e+4N+jdhLoNxZeVjWwudbCvpo2vThqycFhSBLnDExhtjWDMoEiSo+VoWQghQokEtZ+p3VtRWz5Eu/aHaIMzg1rL9oomVm85SlWzt8P+pEgzo22RXDUqgdHWSIYFeMhCIYQQ506C2o983YQOzkS76qag1dHg9PDCtkreO9BARlwY//fK0WREurH1w0EYhBCiv5Og9iO14Y9QW+PtJtTS+6GolKLoUCPPba2kyelh7gQr359gJS1lkPSiJYQQfZQEtZ+oA1+hNr2JdslVaCPG9vr27S3tPFdcyeayJoYnRfDLyzLJTpSRGYQQoq+ToPYD5XZjvPh7iE9Cu+GO3t22Uvzz63rWba+i3VDMO38Q3xuTJD18CSFEPyFB7Qfq3fVQfhD93kfQIntvwPojjS6e2XyUXZUtTEiJYvEFqQyODeu17QshhAg8CepzpCorUG+8ClNmoE2e3ivb9BiKN/Y5+NNnNZh1jXsvSCVveDy6PFYlhBD9jgT1OVBKYby8Cixh6D+8u1e2+U1tGys3H6XE3sa0jBgWTE3BKndzCyFEvyVBfQ7UJ4Wwbzfa7YvQEpICuq12j8F/f2HnL5/biQkzUXBhGjOzYqVzEiGE6OckqM+Sqq9F/fdaGDkO7cLZAd3W3upWfv+/RyhrcHHp0Dju/E4KceGmgG5TCCFEaJCgPkvq1efB1YZ+++KAdRPa2m7wp8+qeXNfLbYoM4/NymBKWkxAtiWEECI09Siod+7cydq1azEMg9zcXPLz8zstb2pqYvXq1VRWVmKxWFi4cCFZWVkA3HvvvURERKDrOiaTiWXLlvl9J3qb2r0NtfVjtOtuRRucEZBt7DjSzDObj1Dd7ObqUQncNnkQURY5ihZCiIGm26A2DIM1a9bw6KOPYrVaefjhh8nJySEj43hArV+/nuzsbAoKCigvL2fNmjUsWbLEt/yxxx4jLi4uMHsQBMamNyBpENqVN/j9sxudHl7YXsWm/fWkx4XxH5dnMTa59x75EkIIEVq6PWdbWlpKamoqKSkpmM1mZsyYQXFxcad1ysrKmDhxIgDp6elUV1dTV1cXkIKDTTXWw56daBdcjGb2393W3u4/G1j85n7eP1DP98dbefrqbAlpIYQY4Lo9onY4HFitVt+01WqlpKSk0zpDhgxh8+bNjBkzhtLSUqqrq3E4HCQkJACwdOlSAC6//HLy8vJOu53CwkIKCwsBWLZsGTab7ax2KNBatn5Eo2GQePn3sPipxqMNbfzu/a/55EAto5OjeSpvJKMG+e9atNlsDtn27KukTQND2tX/pE0DozfbtdugVkqdMu/kR4Ly8/NZt24dBQUFZGVlMXToUPSOG6x+9atfkZSURH19Pb/+9a9JS0tj3Lhxp3xmXl5epxAP1UEkPO+9BYMzqYtJQDvHGt2G4n/2Onh1l/dzfjxlENeOTsKktVFT0+aPcgGw2Wwh2559lbRpYEi7+p+0aWD4u13T0tK6XNZtUFutVux2u2/abreTmJjYaZ2oqCgWLVoEeIN98eLFJCcnA5CU5H2+OD4+nqlTp1JaWnraoO4LlKMGSvZ4x5o+x+eX99W08szmo3xT52RaRgx356QwKFo6LhFCCNFZt9eohw8fzpEjR6iqqsLtdlNUVEROTk6ndZqbm3G73QBs3LiRsWPHEhUVRVtbG62trQC0tbWxa9cu393gfZHa+jEohTb1orP+jCaXh9VbjvLgOwdpdHl4+OJ0/v2SDAlpIYQQp9XtEbXJZGL+/PksXboUwzCYNWsWmZmZvPvuuwDMnj2b8vJyVq5cia7rZGRksGDBAgDq6+t58sknAfB4PFx44YVMnjw5cHsTYKr4I8gajpaa/u1/Vyk+OtjImm2VNDg9XDsmkR+eZ5NHroQQQpyRpk53EToEVFRUBLuETlTVEYx/vwftpnnoV3y7x7KONLp4dstRdh5tYaQ1gkXTUhmW1HtjRcs1Kv+TNg0MaVf/kzYNjJC6Ri28VPFHAGg5PT/t3e4xWL/HwWuf2zHrGnfnpHDlyAQZK1oIIUSPSVD3kCr+CEaMRbMO6tH6n1e2sHrLUcoaXMzMiuXO7yTLKFdCCCG+NQnqHlDlB6H8INot93S7bkObm7U7qtm0v57kaAtLLs3gO+nSP7cQQoizI0HdA2rLR6DpaN+Z0fU6SrFxfz3rdlTT4vJw47gkfjDRRrg5MAN2CCGEGBgkqLuhlEIVfwhjJqLFJZ52ncP1TlZvOcoXVa2MHRTJwmmpDEkI7+VKhRBC9EcS1N35phSqj6Jd/f1TFjndBn/5ws7re+xEmHXuvSCVvOHx6OfYGYoQQghxjAR1N1Txh2Ayo53/3U7zdx5pZvWWoxxtaufSoXH8eEoyCRHSnEIIIfxLkuUMlGGgij+GCVPQoo/fEPbGXgd/2FZFWmwYv8rN5LzU6CBWKYQQoj+ToD6T0j1QZ0e7aZ5vVoPTwyu7ajh/cDSPXJJOmEluFhNCCBE4kjJnoLZ8CGHhaJMv8M37y+c1tLkN5k9JlpAWQggRcJI0XVBuN2pbEdqkaWjh3u4+q5vb+ftXdVw6NJ4suatbCCFEL5Cg7sreXdDUgDbteJehr+yqQQNuOU8GYRdCCNE7JKi7oLZ8CJHRMP47ABysc/L+gXrmjE6UISmFEEL0Ggnq01DtLtTO/0U7fzqaxRvKL++sJsKsc+N4a5CrE0IIMZBIUJ/O7m3Q2oI27WIA9lS1UFzexI3jrMSFy/jRQggheo8E9Wmo4o8gNh7GnIdSipd2VpMYaebaMafvQlQIIYQIFAnqk6i2VtSuLWjfmYlmMrGlvIkvq1u5eaJVBtgQQgjR6yR5TqI+2wIuF9rUi/AYij/urCYtNoy84QnBLk0IIcQA1KOeyXbu3MnatWsxDIPc3Fzy8/M7LW9qamL16tVUVlZisVhYuHAhWVlZvuWGYfDQQw+RlJTEQw895Ncd8DdV/BEk2mDEWN4/UM+hehc/vygNsy4DbQghhOh93R5RG4bBmjVreOSRR3jqqaf45JNPKCsr67TO+vXryc7O5sknn2Tx4sWsW7eu0/K33nqL9PR0vxYeCKq5ET7fjjb1QtqV97npkdYIZmTGBrs0IYQQA1S3QV1aWkpqaiopKSmYzWZmzJhBcXFxp3XKysqYOHEiAOnp6VRXV1NXVweA3W5n+/bt5Obm+r96P1PbPwWPG23axbz1VS01LW7umDwITYatFEIIESTdBrXD4cBqPf7ssNVqxeFwdFpnyJAhbN68GfAGe3V1tW+ddevWcdttt/WJsFPFH0HyYJpTs/nL53bOHxwtI2MJIYQIqm6vUSulTpl3cujm5+ezbt06CgoKyMrKYujQoei6zrZt24iPj2fYsGF88cUXZ9xOYWEhhYWFACxbtgybrXe76fTU2qnZt5voG+9gw8E2Gl0G9106EpstpvtfDnFms7nX27O/kzYNDGlX/5M2DYzebNdug9pqtWK3233TdrudxMTOzxNHRUWxaNEiwBvsixcvJjk5maKiIrZu3cqOHTtwuVy0trayYsUK7rvvvlO2k5eXR15enm+6pqbmrHfqbBib3gTDoHzkFF7dXM7FQ+JI0tuoqWnr1ToCwWaz9Xp79nfSpoEh7ep/0qaB4e92TUtL63JZt0E9fPhwjhw5QlVVFUlJSRQVFZ0StM3NzYSHh2M2m9m4cSNjx44lKiqKW265hVtuuQWAL774gjfeeOO0IR0K1JYPIX0If66KwFBt3DpJvoEKIYQIvm6D2mQyMX/+fJYuXYphGMyaNYvMzEzeffddAGbPnk15eTkrV65E13UyMjJYsGBBwAv3J2Wvgq/3UvG9O/nn13VcNTKB1NiwYJclhBBC9Ow56ilTpjBlypRO82bPnu17P2rUKFasWHHGzxg/fjzjx48/ixIDTxV/BMArkRMIa3Ezd4IcTQshhAgN0jMZ3qAuGT2Dosp28scmkRDZo+8vQgghRMAN+KBWR8tQh/bzxyGXEx9u4rqxScEuSQghhPCRoN7yEZ8ljWK3K5rvT7ASZZFhLIUQQoSOAR3USik8xR/x8tgbSImxcOXIhGCXJIQQQnQyoIOawwf4xLBxwJLELefZsJgGdnMIIYQIPQM6mVxbPuaVoVeQHWfm4uy4YJcjhBBCnGLABrVSin/ub6Ay0sodU1LR+0Bf5EIIIQaeARvUrSX7eG3QBUyIcDIlTQbeEEIIEZoGbFD/betB6sNiuWN6Vp8Y2UsIIcTANCCDuq7FyQZ3KtPbKxidntj9LwghhBBBMiC74Prvj0tw6WZuHxEZ7FKEEEKIMxpwR9SVTS7+UaWTW7WD9Jwp3f+CEEIIEUQDLqj/tLMKXXn4QXw9Wlh4sMsRQgghzmhABfWB2jY+PNjINYc/wjZ1WrDLEUIIIbo1oIL65Z3VRKt2rrdvhXGTg12OEEII0a0BE9SfV7awraKZGw69T8ykKWhmS7BLEkIIIbo1IIJaKcWLO6qwmj1cdfB9tGkXB7skIYQQokcGRFD/7+EmvrK3cXPjZ4THxsGo8cEuSQghhOiRfh/UHkPx8mfVZMSauXTberScmWi6jDkthBCib+hRhyc7d+5k7dq1GIZBbm4u+fn5nZY3NTWxevVqKisrsVgsLFy4kKysLFwuF4899hhutxuPx8P06dOZO3duIPajSxv311Pe4OKhZAcmtxNt6kW9un0hhBDiXHQb1IZhsGbNGh599FGsVisPP/wwOTk5ZGRk+NZZv3492dnZFBQUUF5ezpo1a1iyZAkWi4XHHnuMiIgI3G43S5YsYfLkyYwaNSqgO3VMu8fg1V01jLZFMnXPP8GaDMNG98q2hRBCCH/o9tR3aWkpqamppKSkYDabmTFjBsXFxZ3WKSsrY+LEiQCkp6dTXV1NXV0dmqYREREBgMfjwePx9OoAGBaTzn3fHcy/jItG+3In2rSLZAAOIYQQfUq3R9QOhwOr1eqbtlqtlJSUdFpnyJAhbN68mTFjxlBaWkp1dTUOh4OEhAQMw+DBBx/k6NGjXHHFFYwcOfK02yksLKSwsBCAZcuWYbPZzmW/fPJsNlre2UCjx0Pi5d/D4qfP7UvMZrPf2lN4SZsGhrSr/0mbBkZvtmu3Qa2UOmXeyUel+fn5rFu3joKCArKyshg6dCi67j1Y13WdJ554gubmZp588kkOHTpEVlbWKZ+Zl5dHXl6eb7qmpuZb70xXPJvegsGZ1MUkoPnxc/sKm83m1/YU0qaBIu3qf9KmgeHvdk1LS+tyWbdBbbVasdvtvmm73U5iYuehIaOioli0aBHgDfbFixeTnJzcaZ3o6GjGjRvHzp07TxvUgaJq7VDyBdq1P5TT3kIIIfqcbq9RDx8+nCNHjlBVVYXb7aaoqIicnJxO6zQ3N+N2uwHYuHEjY8eOJSoqioaGBpqbmwFwuVzs3r2b9PT0AOxG19TWj0EpudtbCCFEn9TtEbXJZGL+/PksXboUwzCYNWsWmZmZvPvuuwDMnj2b8vJyVq5cia7rZGRksGDBAgBqa2tZtWoVhmGglOK73/0u3/nOdwK7RydRxR9B1nC01N79giCEEEL4g6ZOdxE6BFRUVJzzZyiPB/Xn5yEjG/3iK/1QVd8k16j8T9o0MKRd/U/aNDBC6hp1X6aZTGi3LAh2GUIIIcRZ6/ddiAohhBB9mQS1EEIIEcIkqIUQQogQJkEthBBChDAJaiGEECKESVALIYQQIUyCWgghhAhhEtRCCCFECAvZnsmEEEIIIUfUA8JDDz0U7BL6HWnTwJB29T9p08DozXaVoBZCCCFCmAS1EEIIEcIkqAeAvLy8YJfQ70ibBoa0q/9JmwZGb7ar3EwmhBBChDA5ohZCCCFCmAS1EEIIEcLMwS5A+E9NTQ2rVq2irq4OTdPIy8vj6quvpqmpiaeeeorq6moGDRrEz372M2JiYoJdbp9iGAYPPfQQSUlJPPTQQ9KmftDc3Myzzz7L4cOH0TSNhQsXkpaWJu16Dt588002bdqEpmlkZmayaNEiXC6XtOm39Mwzz7B9+3bi4+NZvnw5wBn/n1+/fj2bNm1C13V+/OMfM3nyZL/WI0fU/YjJZOL222/nqaeeYunSpbzzzjuUlZWxYcMGJk6cyIoVK5g4cSIbNmwIdql9zltvvUV6erpvWtr03K1du5bJkyfz9NNP88QTT5Ceni7teg4cDgdvv/02y5YtY/ny5RiGQVFRkbTpWbj00kt55JFHOs3rqh3LysooKirid7/7Hf/+7//OmjVrMAzDr/VIUPcjiYmJDBs2DIDIyEjS09NxOBwUFxdzySWXAHDJJZdQXFwczDL7HLvdzvbt28nNzfXNkzY9Ny0tLXz55ZdcdtllAJjNZqKjo6Vdz5FhGLhcLjweDy6Xi8TERGnTszBu3LhTzjp01Y7FxcXMmDEDi8VCcnIyqamplJaW+rUeOfXdT1VVVXHgwAFGjBhBfX09iYmJgDfMGxoaglxd37Ju3Tpuu+02WltbffOkTc9NVVUVcXFxPPPMMxw8eJBhw4Yxb948addzkJSUxLXXXsvChQsJCwtj0qRJTJo0SdrUT7pqR4fDwciRI33rJSUl4XA4/LptOaLuh9ra2li+fDnz5s0jKioq2OX0adu2bSM+Pt53pkL4h8fj4cCBA8yePZvf/va3hIeHyynZc9TU1ERxcTGrVq3iueeeo62tjQ8//DDYZfV7vfGEsxxR9zNut5vly5dz0UUXccEFFwAQHx9PbW0tiYmJ1NbWEhcXF+Qq+459+/axdetWduzYgcvlorW1lRUrVkibniOr1YrVavUdiUyfPp0NGzZIu56D3bt3k5yc7GuzCy64gK+++kra1E+6aker1Yrdbvet53A4SEpK8uu25Yi6H1FK8eyzz5Kens4111zjm5+Tk8MHH3wAwAcffMDUqVODVWKfc8stt/Dss8+yatUqfvrTnzJhwgTuu+8+adNzlJCQgNVqpaKiAvCGTEZGhrTrObDZbJSUlOB0OlFKsXv3btLT06VN/aSrdszJyaGoqIj29naqqqo4cuQII0aM8Ou2pWeyfmTv3r0sWbKErKwsNE0D4Ic//CEjR47kqaeeoqamBpvNxv333y+PZ5yFL774gjfeeIOHHnqIxsZGadNz9M033/Dss8/idrtJTk5m0aJFKKWkXc/Ba6+9RlFRESaTiezsbBYsWEBbW5u06bf09NNPs2fPHhobG4mPj2fu3LlMnTq1y3Z8/fXXee+999B1nXnz5nH++ef7tR4JaiGEECKEyalvIYQQIoRJUAshhBAhTIJaCCGECGES1EIIIUQIk6AWQgghQpgEtRD90Ny5czl69GiwyzjFa6+9xooVK4JdhhB9ivRMJkSA3XvvvdTV1aHrx78XX3rppdx5551BrEoI0VdIUAvRCx588EHOO++8YJfRr3g8HkwmU7DLECLgJKiFCKL333+fjRs3MnToUD744AMSExO58847mThxIuDtN/j5559n7969xMTEcN1115GXlwd4hzTcsGED7733HvX19QwePJiCggJsNhsAu3bt4vHHH6exsZGZM2dy5513+nqsO9Frr71GWVkZYWFhbNmyBZvNxr333svw4cMB72n0FStWkJqaCsCqVauwWq3cfPPNfPHFF/z+97/nqquu4o033kDXde666y7MZjMvvvgiDQ0NXHvttdxwww2+7bW3t/PUU0+xY8cOBg8ezMKFC8nOzvbt7wsvvMCXX35JREQEc+bM4eqrr/bVefjwYSwWC9u2beOOO+7oNPSoEP2VXKMWIshKSkpITk5mzZo1zJ07lyeffJKmpiYA/t//+39YrVaee+45HnjgAf7rv/6L3bt3A/Dmm2/yySef8PDDD/Piiy+ycOFCwsPDfZ+7fft2/uM//oMnnniCTz/9lM8++6zLGrZt28aMGTNYt24dOTk5vPDCCz2uv66ujvb2dp599lnmzp3Lc889x0cffcSyZcv45S9/yV//+lcqKyt962/dupXvfve7vPDCC8ycOZMnnngCt9uNYRj85je/ITs7m+eee44lS5bw1ltvsXPnzk6/O336dNauXctFF13U4xqF6MskqIXoBU888QTz5s3z/RQWFvqWxcfHM2fOHMxmMzNmzCAtLY3t27dTU1PD3r17ufXWWwkLCyM7O5vc3Fzf0IUbN27k5ptvJi0tDU3TyM7OJjY21ve5+fn5REdHY7PZGD9+PN98802X9Y0ZM4YpU6ag6zoXX3zxGdc9mclk4oYbbsBsNjNz5kwaGxu5+uqriYyMJDMzk4yMDA4ePOhbf9iwYUyfPh2z2cw111xDe3s7JSUlfP311zQ0NHDTTTdhNptJSUkhNzeXoqIi3++OGjWKadOmoes6YWFhPa5RiL5MTn0L0QsKCgq6vEadlJTU6ZT0oEGDcDgc1NbWEhMTQ2RkpG+ZzWbj66+/BsBut5OSktLlNhMSEnzvw8PDaWtr63Ld+Ph43/uwsDDa29t7fA04NjbWd6PcsfA8+fNO3LbVavW913Udq9VKbW0tALW1tcybN8+33DAMxo4de9rfFWKgkKAWIsgcDgdKKV9Y19TUkJOTQ2JiIk1NTbS2tvrCuqamxjfWrdVqpbKykqysrIDWFx4ejtPp9E3X1dWdU2CeOHavYRjY7XYSExMxmUwkJyfL41tCnEROfQsRZPX19bz99tu43W4+/fRTysvLOf/887HZbIwePZpXXnkFl8vFwYMHee+993zXZnNzc/nzn//MkSNHUEpx8OBBGhsb/V5fdnY2H3/8MYZhsHPnTvbs2XNOn7d//342b96Mx+PhrbfewmKxMHLkSEaMGEFkZCQbNmzA5XJhGAaHDh2itLTUT3siRN8kR9RC9ILf/OY3nZ6jPu+88ygoKABg5MiRHDlyhDvvvJOEhATuv/9+37Xmn/zkJzz//PPcc889xMTE8P3vf993Cv3Y9d1f//rXNDY2kp6ezr/927/5vfZ58+axatUq3nnnHaZOncrUqVPP6fNycnIoKipi1apVpKam8sADD2A2e/8UPfjgg7z00kvce++9uN1u0tLS+MEPfuCP3RCiz5LxqIUIomOPZ/3qV78KdilCiBAlp76FEEKIECZBLYQQQoQwOfUthBBChDA5ohZCCCFCmAS1EEIIEcIkqIUQQogQJkEthBBChDAJaiGEECKE/X+LUJIyt/8POgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " final error(train) = 4.95e-03\n", + " final error(valid) = 1.88e-01\n", + " final acc(train) = 1.00e+00\n", + " final acc(valid) = 9.60e-01\n", + " run time per epoch = 1.58\n" + ] + } + ], + "source": [ + "# Set training run hyperparameters\n", + "batch_size = 100 # number of data points in a batch\n", + "num_epochs = 100 # number of training epochs to perform\n", + "stats_interval = 5 # epoch interval between recording and printing stats\n", + "learning_rate = 0.2 # learning rate for gradient descent\n", + "\n", + "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n", + "final_errors_train = []\n", + "final_errors_valid = []\n", + "final_accs_train = []\n", + "final_accs_valid = []\n", + "\n", + "for init_scale in init_scales:\n", + "\n", + " print('-' * 80)\n", + " print('learning_rate={0:.2f} init_scale={1:.2f}'\n", + " .format(learning_rate, init_scale))\n", + " print('-' * 80)\n", + " # Reset random number generator and data provider states on each run\n", + " # to ensure reproducibility of results\n", + " rng.seed(seed)\n", + " train_data.reset()\n", + " valid_data.reset()\n", + "\n", + " # Alter data-provider batch size\n", + " train_data.batch_size = batch_size \n", + " valid_data.batch_size = batch_size\n", + "\n", + " # Create a parameter initialiser which will sample random uniform values\n", + " # from [-init_scale, init_scale]\n", + " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n", + "\n", + " # Create a model with five affine layers\n", + " hidden_dim = 100\n", + " model = MultipleLayerModel([\n", + " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n", + " SigmoidLayer(),\n", + " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n", + " ])\n", + "\n", + " # Initialise a cross entropy error object\n", + " error = CrossEntropySoftmaxError()\n", + "\n", + " # Use a basic gradient descent learning rule\n", + " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n", + "\n", + " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n", + " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n", + "\n", + " plt.show()\n", + "\n", + " print(' final error(train) = {0:.2e}'.format(stats[-1, keys['error(train)']]))\n", + " print(' final error(valid) = {0:.2e}'.format(stats[-1, keys['error(valid)']]))\n", + " print(' final acc(train) = {0:.2e}'.format(stats[-1, keys['acc(train)']]))\n", + " print(' final acc(valid) = {0:.2e}'.format(stats[-1, keys['acc(valid)']]))\n", + " print(' run time per epoch = {0:.2f}'.format(run_time * 1. / num_epochs))\n", + "\n", + " final_errors_train.append(stats[-1, keys['error(train)']])\n", + " final_errors_valid.append(stats[-1, keys['error(valid)']])\n", + " final_accs_train.append(stats[-1, keys['acc(train)']])\n", + " final_accs_valid.append(stats[-1, keys['acc(valid)']])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n", + "|------------|--------------------|--------------------|------------------|------------------|\n", + "| 0.1 | 4.75e-03 | 2.19e-01 | 1.00 | 0.96 |\n", + "| 0.2 | 1.14e-03 | 1.49e-01 | 1.00 | 0.97 |\n", + "| 0.5 | 1.81e-03 | 1.47e-01 | 1.00 | 0.97 |\n", + "| 1.0 | 4.95e-03 | 1.88e-01 | 1.00 | 0.96 |\n" + ] + } + ], + "source": [ + "j = 0\n", + "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n", + "print('|------------|--------------------|--------------------|------------------|------------------|')\n", + "for init_scale in init_scales:\n", + " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n", + " .format(init_scale, \n", + " final_errors_train[j], final_errors_valid[j],\n", + " final_accs_train[j], final_accs_valid[j]))\n", + " j += 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> How does increasing the number of layers affect the model's performance on the training data set? And on the validation data set?\n", + "\n", + "\n", + "The best final training set error across the four initialisation scales used above for each model architecture, consistently decreases as we increase the number of layers.\n", + "\n", + "\n", + "| Number of affine layers | Best final training set error |\n", + "|-------------------------|-------------------------------|\n", + "| 2 | $1.85 \\times 10^{-2}$ |\n", + "| 3 | $5.21 \\times 10^{-3}$ |\n", + "| 4 | $1.99 \\times 10^{-3}$ |\n", + "| 5 | $1.14 \\times 10^{-3}$ |\n", + "\n", + "\n", + "This makes sense as adding more layers increases the total number of free parameters in the model and so we would expect the model to be able to fit too the training data better.\n", + "\n", + "\n", + "\n", + "If we look at the validation set however we see the opposite trend; as the number of layers increases the best final validation set error increases.\n", + "\n", + "\n", + "| Number of affine layers | Best final validation set error |\n", + "|-------------------------|---------------------------------|\n", + "| 2 | $7.47 \\times 10^{-2}$ |\n", + "| 3 | $8.77 \\times 10^{-2}$ |\n", + "| 4 | $1.17 \\times 10^{-1}$ |\n", + "| 5 | $1.47 \\times 10^{-1}$ |\n", + "\n", + "\n", + "If we look more closely at the training curves for the models with more layers we can see what is happening here. For the models with three or more layers, after a certain number of epochs the validation set error begins to **grow** even as the training set error continues to decrease. This indicates that these models have begun **overfitting** to the training data. We could get a better validation set error in these cases by stopping the training early. **Early stopping** like this is one way of trying to overcome overfitting, in later labs we will consider other methods for improving generalisation by reducing overfitting.\n", + "\n", + "\n", + "> Do deeper models seem to be harder or easier to train (e.g. in terms of ease of choosing training hyperparameters to give good final performance and/or quick convergence)?\n", + "\n", + "> Do the models seem to be sensitive to the choice of the parameter initialisation range? Can you think of any reasons for why setting individual parameter initialisation scales for each AffineLayer in a model might be useful? Can you come up with (or find) any heuristics for setting the parameter initialisation scales?\n", + "\n", + "The final performance of the deeper models becomes increasingly sensitive to the choice of parameter initialisation. For the models with two affine layers, the final training errors for initialisation scales 0.1, 0.2 and 0.5 are all within approximately 10% of each other, while for the models with five affine layers there is an approximately 400% increase in final training error if moving from an initialisation scale of 0.2 to 0.1 and a 50% increase in final training error when moving from 0.2 to 0.5. The smaller parameter initialisation scales for the deeper models in particular seem to give poorer initial performance (error curves start from higher values) and for the five affine layer model the smallest parameter initialisation scale run shows a pronounced flatter section at the start of training with around 15 epochs before the error starts significantly decreasing.\n", + "\n", + "\n", + "In general the models with more layers also take longer to train, which can be accounted for by their increased complexity, so on top of issues of potential overfitting and difficulty of choosing parameter initilisations we also need to factor in the potentially slower training of deeper models if computational time is a key constraint.\n", + "\n", + "\n", + "We might expect the appropriate initialisation scale for a given affine layer to depend on its input and output dimensionalities. Each output is calculated as the weighted sum of all the inputs, and so for a larger number of inputs the typical magnitude of the output is expected to grow as the sum will contain more terms. Similarly the backpropagated gradient at each input is calculated as a weighted sum over the gradients at each output, and so for a larger number outputs the typical magnitude of backpropagated gradients will become larger.\n", + "\n", + "\n", + "If we wish to keep the typical magnitude of the activations and backpropagated gradients at a given layer roughly constant through the network, we may wish to initialise a layer parameters according to its size. One heuristic based on trying to achieve a roughly constant variance in activations and backpropagated gradients through the network is to initialise the weights for a layer from a distribution with variance inversely proportional to the sum of the input and output dimensions of the layer. This is sometimes known as the Glorot or Xavier initialisation, after the name of the author of [the paper](http://jmlr.org/proceedings/papers/v9/glorot10a/glorot10a.pdf) in which this scheme was proposed. This is discussed in [lecture 4](http://www.inf.ed.ac.uk/teaching/courses/mlp/2017-18/mlp04-learn.pdf).\n" + ] }, { "cell_type": "markdown", @@ -569,7 +2490,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -584,7 +2505,7 @@ "\n", " For inputs `x` and outputs `y` this corresponds to `y = tanh(x)`.\n", " \"\"\"\n", - " raise NotImplementedError(\"TODO Implement this function\")\n", + " return np.tanh(inputs)\n", "\n", " def bprop(self, inputs, outputs, grads_wrt_outputs):\n", " \"\"\"Back propagates gradients through a layer.\n", @@ -592,7 +2513,7 @@ " Given gradients with respect to the outputs of the layer calculates the\n", " gradients with respect to the layer inputs.\n", " \"\"\"\n", - " raise NotImplementedError(\"TODO Implement this function\")\n", + " return (1. - outputs**2) * grads_wrt_outputs\n", "\n", " def __repr__(self):\n", " return 'TanhLayer'\n", @@ -606,7 +2527,7 @@ "\n", " For inputs `x` and outputs `y` this corresponds to `y = max(0, x)`.\n", " \"\"\"\n", - " raise NotImplementedError(\"TODO Implement this function\")\n", + " return np.maximum(inputs, 0.)\n", "\n", " def bprop(self, inputs, outputs, grads_wrt_outputs):\n", " \"\"\"Back propagates gradients through a layer.\n", @@ -614,7 +2535,7 @@ " Given gradients with respect to the outputs of the layer calculates the\n", " gradients with respect to the layer inputs.\n", " \"\"\"\n", - " raise NotImplementedError(\"TODO Implement this function\")\n", + " return (outputs > 0) * grads_wrt_outputs\n", "\n", " def __repr__(self):\n", " return 'ReluLayer'" @@ -629,9 +2550,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Outputs and gradients calculated correctly for TanhLayer.\n" + ] + } + ], "source": [ "test_inputs = np.array([[0.1, -0.2, 0.3], [-0.4, 0.5, -0.6]])\n", "test_grads_wrt_outputs = np.array([[5., 10., -10.], [-5., 0., 10.]])\n", @@ -664,9 +2593,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Outputs and gradients calculated correctly for ReluLayer.\n" + ] + } + ], "source": [ "test_inputs = np.array([[0.1, -0.2, 0.3], [-0.4, 0.5, -0.6]])\n", "test_grads_wrt_outputs = np.array([[5., 10., -10.], [-5., 0., 10.]])\n", @@ -704,9 +2641,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import torch\n", "import torch.nn as nn\n", @@ -728,9 +2676,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "device(type='cpu')" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Device configuration\n", "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", @@ -786,9 +2745,107 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Downloading http://yann.lecun.com/exdb/mnist/train-images-idx3-ubyte.gz\n", + "Failed to download (trying next):\n", + "HTTP Error 403: Forbidden\n", + "\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/train-images-idx3-ubyte.gz\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/train-images-idx3-ubyte.gz to ../data/MNIST/raw/train-images-idx3-ubyte.gz\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100.0%\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting ../data/MNIST/raw/train-images-idx3-ubyte.gz to ../data/MNIST/raw\n", + "\n", + "Downloading http://yann.lecun.com/exdb/mnist/train-labels-idx1-ubyte.gz\n", + "Failed to download (trying next):\n", + "HTTP Error 403: Forbidden\n", + "\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/train-labels-idx1-ubyte.gz\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/train-labels-idx1-ubyte.gz to ../data/MNIST/raw/train-labels-idx1-ubyte.gz\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100.0%\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting ../data/MNIST/raw/train-labels-idx1-ubyte.gz to ../data/MNIST/raw\n", + "\n", + "Downloading http://yann.lecun.com/exdb/mnist/t10k-images-idx3-ubyte.gz\n", + "Failed to download (trying next):\n", + "HTTP Error 403: Forbidden\n", + "\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/t10k-images-idx3-ubyte.gz\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/t10k-images-idx3-ubyte.gz to ../data/MNIST/raw/t10k-images-idx3-ubyte.gz\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100.0%\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting ../data/MNIST/raw/t10k-images-idx3-ubyte.gz to ../data/MNIST/raw\n", + "\n", + "Downloading http://yann.lecun.com/exdb/mnist/t10k-labels-idx1-ubyte.gz\n", + "Failed to download (trying next):\n", + "HTTP Error 403: Forbidden\n", + "\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/t10k-labels-idx1-ubyte.gz\n", + "Downloading https://ossci-datasets.s3.amazonaws.com/mnist/t10k-labels-idx1-ubyte.gz to ../data/MNIST/raw/t10k-labels-idx1-ubyte.gz\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100.0%" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting ../data/MNIST/raw/t10k-labels-idx1-ubyte.gz to ../data/MNIST/raw\n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], "source": [ "train_dataset = datasets.MNIST('../data', train=True, download=True, transform=transform)" ] @@ -811,9 +2868,39 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train dataset: \n", + " Dataset MNIST\n", + " Number of datapoints: 60000\n", + " Root location: ../data\n", + " Split: Train\n", + " StandardTransform\n", + "Transform: Compose(\n", + " ToTensor()\n", + " Normalize(mean=(0.1307,), std=(0.3081,))\n", + " )\n", + "torch.Size([60000, 28, 28])\n", + "torch.Size([60000])\n", + "\n", + "Test dataset: \n", + " Dataset MNIST\n", + " Number of datapoints: 10000\n", + " Root location: ../data\n", + " Split: Test\n", + " StandardTransform\n", + "Transform: Compose(\n", + " ToTensor()\n", + " Normalize(mean=(0.1307,), std=(0.3081,))\n", + " )\n" + ] + } + ], "source": [ "print(\"Train dataset: \\n\", train_dataset)\n", "print(train_dataset.data.size())\n", @@ -823,9 +2910,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plt.imshow(train_dataset.data[42], cmap='gray')\n", "plt.title('%i' % train_dataset.targets[42])\n", @@ -911,9 +3009,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MultipleLayerModel(\n", + " (flatten): Flatten(start_dim=1, end_dim=-1)\n", + " (linear_relu_stack): Sequential(\n", + " (0): Linear(in_features=784, out_features=100, bias=True)\n", + " (1): ReLU()\n", + " (2): Linear(in_features=100, out_features=100, bias=True)\n", + " (3): ReLU()\n", + " (4): Linear(in_features=100, out_features=10, bias=True)\n", + " )\n", + ")\n" + ] + } + ], "source": [ "input_dim = 1*28*28\n", "output_dim = 10\n", @@ -951,9 +3066,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch: 0 \tError(train): 0.358887 \tAccuracy(train): 0.896062 \tError(valid): 0.185471 \tAccuracy(valid): 0.946836\n", + "Epoch: 5 \tError(train): 0.052651 \tAccuracy(train): 0.983104 \tError(valid): 0.095970 \tAccuracy(valid): 0.971687\n", + "Epoch: 10 \tError(train): 0.022297 \tAccuracy(train): 0.992771 \tError(valid): 0.090072 \tAccuracy(valid): 0.974374\n", + "Epoch: 15 \tError(train): 0.014676 \tAccuracy(train): 0.995188 \tError(valid): 0.104987 \tAccuracy(valid): 0.975731\n", + "Epoch: 20 \tError(train): 0.009700 \tAccuracy(train): 0.996771 \tError(valid): 0.109034 \tAccuracy(valid): 0.977089\n", + "Epoch: 25 \tError(train): 0.010248 \tAccuracy(train): 0.996354 \tError(valid): 0.122468 \tAccuracy(valid): 0.978363\n", + "Epoch: 30 \tError(train): 0.005657 \tAccuracy(train): 0.998208 \tError(valid): 0.166619 \tAccuracy(valid): 0.970855\n", + "Epoch: 35 \tError(train): 0.010991 \tAccuracy(train): 0.996333 \tError(valid): 0.143561 \tAccuracy(valid): 0.976978\n", + "Epoch: 40 \tError(train): 0.011190 \tAccuracy(train): 0.996521 \tError(valid): 0.152304 \tAccuracy(valid): 0.975150\n", + "Epoch: 45 \tError(train): 0.002502 \tAccuracy(train): 0.999458 \tError(valid): 0.152308 \tAccuracy(valid): 0.977255\n", + "Epoch: 50 \tError(train): 0.002459 \tAccuracy(train): 0.999167 \tError(valid): 0.227140 \tAccuracy(valid): 0.971493\n" + ] + } + ], "source": [ "# Keep track of the loss values over training\n", "train_loss = [] \n", @@ -1035,9 +3168,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Plot the change in the validation and training set error over training.\n", "fig_1 = plt.figure(figsize=(8, 4))\n", @@ -1068,9 +3222,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy(test): 0.971915\n" + ] + } + ], "source": [ "# Testing\n", "test_acc = []\n", diff --git a/notebooks/04_Generalisation_and_overfitting.ipynb b/notebooks/04_Generalisation_and_overfitting.ipynb new file mode 100644 index 0000000..ca12442 --- /dev/null +++ b/notebooks/04_Generalisation_and_overfitting.ipynb @@ -0,0 +1,614 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Generalisation and overfitting\n", + "\n", + "In this notebook we will explore the issue of overfitting and how we can measure how well the models we train generalise their predictions to unseen data. This will build upon the introduction to generalisation given in the fourth lecture." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 1: overfitting and model complexity in a 1D regression problem\n", + "\n", + "As an exercise we will consider a regression problem. In particular, given a fixed set of (noisy) observations of the underlying functional relationship between inputs and outputs, we will attempt to use a multiple layer network model to learn to predict output values from inputs. The aim of the exercise will be to visualise how increasing the complexity of the model we fit to the training data effects the ability of the model to make predictions across the input space.\n", + "\n", + "### Function\n", + "\n", + "To keep things simple we will consider a single input-output function defined by a fourth degree polynomial (quartic)\n", + "\n", + "$$ f(x) = 10 x^4 - 17 x^3 + 8 x^2 - x $$\n", + "\n", + "with the observed values being the function values plus zero-mean Gaussian noise\n", + "\n", + "$$ y = f(x) + 0.01 \\epsilon \\qquad \\epsilon \\sim \\mathcal{N}\\left(\\cdot;\\,0,\\,1\\right) $$\n", + "\n", + "The inputs will be drawn from the uniform distribution on $[0, 1]$.\n", + "\n", + "First import the necessary modules and seed the random number generator by running the cell below." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.style.use('ggplot')\n", + "seed = 17102016 \n", + "rng = np.random.RandomState(seed)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Your Tasks:**\n", + "\n", + "Write code in the cell below to calculate a polynomial function of one dimensional inputs. \n", + "\n", + "If $\\boldsymbol{c}$ is a length $P$ vector of coefficients corresponding to increasing powers in the polynomial (starting from the constant zero power term up to the $P-1^{\\textrm{th}}$ power) the function should correspond to the following\n", + "\n", + "\\begin{equation}\n", + " f_{\\textrm{polynomial}}(x,\\ \\boldsymbol{c}) = \\sum_{p=0}^{P-1} \\left( c_p x^p \\right)\n", + "\\end{equation}" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "def polynomial_function(inputs, coefficients):\n", + " \"\"\"Calculates polynomial with given coefficients of an array of inputs.\n", + " \n", + " Args:\n", + " inputs: One-dimensional array of input values of shape (num_inputs,)\n", + " coefficients: One-dimensional array of polynomial coefficient terms\n", + " with `coefficients[0]` corresponding to the coefficient for the\n", + " zero order term in the polynomial (constant) and `coefficients[-1]`\n", + " corresponding to the highest order term.\n", + " \n", + " Returns:\n", + " One dimensional array of output values of shape (num_inputs,)\n", + " \n", + " \"\"\"\n", + " raise NotImplementedError(\"TODO Implement this function\") " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Run the cell below to test your implementation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "test_coefficients = np.array([-1., 3., 4.])\n", + "test_inputs = np.array([0., 0.5, 1., 2.])\n", + "test_outputs = np.array([-1., 1.5, 6., 21.])\n", + "assert polynomial_function(test_inputs, test_coefficients).shape == (4,), (\n", + " 'Function gives wrong shape output.'\n", + ")\n", + "assert np.allclose(polynomial_function(test_inputs, test_coefficients), test_outputs), (\n", + " 'Function gives incorrect output values.'\n", + ")\n", + "print(\"Function is correct!\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now need to use the random number generator to sample input values and calculate the corresponding target outputs using your polynomial implementation with the relevant coefficients for our function. Do this by running the cell below." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "coefficients = np.array([0, -1., 8., -17., 10.])\n", + "input_dim, output_dim = 1, 1\n", + "noise_std = 0.01\n", + "num_data = 80\n", + "inputs = rng.uniform(size=(num_data, input_dim))\n", + "epsilons = rng.normal(size=num_data)\n", + "targets = (polynomial_function(inputs[:, 0], coefficients) + \n", + " epsilons * noise_std)[:, None]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will split the generated data points in to equal sized training and validation data sets and use these to create data provider objects which we can use to train models in our framework. As the dataset is small here we will use a batch size equal to the size of the data set. Run the cell below to split the data and set up the data provider objects." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "from mlp.data_providers import DataProvider\n", + "num_train = num_data // 2\n", + "batch_size = num_train\n", + "inputs_train, targets_train = inputs[:num_train], targets[:num_train]\n", + "inputs_valid, targets_valid = inputs[num_train:], targets[num_train:]\n", + "train_data = DataProvider(inputs_train, targets_train, batch_size=batch_size, rng=rng)\n", + "valid_data = DataProvider(inputs_valid, targets_valid, batch_size=batch_size, rng=rng)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now visualise the data we will be modelling. Run the cell below to plot the target outputs against inputs for both the training and validation sets. Note the clear underlying smooth functional relationship evident in the noisy data." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "fig = plt.figure(figsize=(8, 4))\n", + "ax = fig.add_subplot(111)\n", + "ax.plot(inputs_train[:, 0], targets_train[:, 0], '.', label='training data')\n", + "ax.plot(inputs_valid[:, 0], targets_valid[:, 0], '.', label='validation data')\n", + "ax.set_xlabel('Inputs $x$', fontsize=14)\n", + "ax.set_ylabel('Ouputs $y$', fontsize=14)\n", + "ax.legend(loc='best')\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Model\n", + "\n", + "We will fit models with a varying number of parameters to the training data. As multi-layer logistic sigmoid models tend to perform poorly in regressions tasks like this we will instead use a [radial basis function (RBF) network](https://en.wikipedia.org/wiki/Radial_basis_function_network).\n", + "\n", + "This model predicts the output as the weighted sum of basis functions (here Gaussian like bumps) tiled across the input space. The cell below generates a random set of weights and bias for a RBF network and plots the modelled input-output function across inputs $[0, 1]$. Run the cell below for several different number of weight parameters (specified with `num_weights` variable) to get a feel for the sort of predictions the RBF network models produce." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_weights = 15\n", + "weights_scale = 1.\n", + "bias_scale = 1.\n", + "\n", + "def basis_function(x, centre, scale):\n", + " return np.exp(-(x - centre)**2 / scale**2)\n", + "\n", + "weights = rng.normal(size=num_weights) * weights_scale\n", + "bias = rng.normal() * bias_scale\n", + "\n", + "centres = np.linspace(0, 1, weights.shape[0])\n", + "scale = 1. / weights.shape[0]\n", + "\n", + "xs = np.linspace(0, 1, 200)\n", + "ys = np.zeros(xs.shape[0])\n", + "\n", + "fig = plt.figure(figsize=(12, 4))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "for weight, centre in zip(weights, centres):\n", + " ys += weight * basis_function(xs, centre, scale)\n", + "ys += bias\n", + "ax.plot(xs, ys)\n", + "ax.set_xlabel('Input', fontsize=14)\n", + "ax.set_ylabel('Output', fontsize=14)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You do not need to study the details of how to implement this model. All of the additional code you need to fit RBF networks is provided in the `RadialBasisFunctionLayer` in the `mlp.layers` module. The `RadialBasisFunctionLayer` class has the same interface as the layer classes we encountered in the previous lab, defining both `fprop` and `bprop` methods, and we can therefore include it as a layer in a `MultipleLayerModel` as with any other layer. \n", + "\n", + "Here we will use the `RadialBasisFunctionLayer` as the first layer in a two layer model. This first layer calculates the basis function terms which are then be weighted and summed together in an `AffineLayer`, the second and final layer. This illustrates the advantage of using a modular framework - we can reuse the code we previously implemented to train a quite different model architecture just by defining a new layer class. \n", + "\n", + "Run the cell below which contains some necessary setup code." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "from mlp.models import MultipleLayerModel\n", + "from mlp.layers import AffineLayer, RadialBasisFunctionLayer\n", + "from mlp.errors import SumOfSquaredDiffsError\n", + "from mlp.initialisers import ConstantInit, UniformInit\n", + "from mlp.learning_rules import GradientDescentLearningRule\n", + "from mlp.optimisers import Optimiser\n", + "\n", + "# Regression problem therefore use sum of squared differences error\n", + "error = SumOfSquaredDiffsError()\n", + "# Use basic gradient descent learning rule with fixed learning rate\n", + "learning_rule = GradientDescentLearningRule(0.1)\n", + "# Initialise weights from uniform distribution and zero bias\n", + "weights_init = UniformInit(-0.1, 0.1)\n", + "biases_init = ConstantInit(0.)\n", + "# Train all models for 2000 epochs\n", + "num_epoch = 2000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The next cell defines RBF network models with varying number of weight parameters (equal to the number of basis functions) and fits each to the training set, recording the final training and validation set errors for the fitted models. Run it now to fit the models and calculate the error values." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_weight_list = [2, 5, 10, 25, 50, 100]\n", + "models = []\n", + "train_errors = []\n", + "valid_errors = []\n", + "for num_weight in num_weight_list:\n", + " model = MultipleLayerModel([\n", + " RadialBasisFunctionLayer(num_weight),\n", + " AffineLayer(input_dim * num_weight, output_dim, \n", + " weights_init, biases_init)\n", + " ])\n", + " optimiser = Optimiser(model, error, learning_rule, \n", + " train_data, valid_data)\n", + " print('-' * 80)\n", + " print('Training model with {0} weights'.format(num_weight))\n", + " print('-' * 80)\n", + " _ = optimiser.train(num_epoch, -1)\n", + " outputs_train = model.fprop(inputs_train)[-1]\n", + " outputs_valid = model.fprop(inputs_valid)[-1]\n", + " models.append(model)\n", + " train_errors.append(error(outputs_train, targets_train))\n", + " valid_errors.append(error(outputs_valid, targets_valid))\n", + " print(' Final training set error: {0:.1e}'.format(train_errors[-1]))\n", + " print(' Final validation set error: {0:.1e}'.format(valid_errors[-1]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Your Tasks**\n", + "\n", + "In the cell below write code to [plot bar charts](http://matplotlib.org/examples/api/barchart_demo.html) of the training and validation set errors for the different fitted models.\n", + "\n", + "Some questions to think about from the plots:\n", + "\n", + " * Do the models with more free parameters fit the training data better or worse?\n", + " * What does the validation set error value tell us about the models?\n", + " * Of the models fitted here which would you say seems like it is most likely to generalise well to unseen data? \n", + " * Do any of the models seem to be overfitting?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#TODO plot the bar charts here" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's visualise what the fitted model's predictions look like across the whole input space compared to the 'true' function we were trying to fit. \n", + "\n", + "**Your Tasks:** \n", + "\n", + "In the cell below, for each of the fitted models stored in the `models` list above:\n", + " * Compute output predictions for the model across a linearly spaced series of 500 input points between 0 and 1 in the input space.\n", + " * Plot the computed predicted outputs and true function values at the corresponding inputs as line plots on the same axis (use a new axis for each model).\n", + " * On the same axis plot the training data sets input-target pairs as points." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "#TODO plot the graphs here" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You should be able to relate your answers to the questions above to what you see in these plots - ask a demonstrator if you are unsure what is going on. In particular for the models which appeared to be overfitting and generalising poorly you should now have an idea how this looks in terms of the model's predictions and how these relate to the training data points and true function values.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# PyTorch\n", + "\n", + "As we have seen in the [previous lab](https://github.com/VICO-UoE/mlpractical/tree/mlp2023-24/lab3/notebooks/03_Multiple_layer_models.ipynb), our model shows signs of overfitting after $15$ epochs. \n", + "\n", + "Overfitting occurs when the model learns the training data too well, and fails to generalise to unseen data. In this case, the model learns the noise in the training data, and fails to learn the underlying function. \n", + "\n", + "The model may be too complex, and we can reduce the complexity by reducing the number of parameters. However, this may not be the best solution, as we may not be able to learn the underlying function with a simple model.\n", + "\n", + "In practice, a model that overfits the training data will have a low training error, but a high validation error.\n", + "\n", + "*What can we deduce if we observe a high training error and a high validation error?*\n", + "\n", + "Overfitting is a common problem in machine learning, and there are many techniques to avoid it. In this lab, we will explore one of them: *early stopping*." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "import torch.nn as nn\n", + "import torch.optim as optim\n", + "from torchvision import datasets,transforms\n", + "from torch.utils.data.sampler import SubsetRandomSampler\n", + "\n", + "torch.manual_seed(seed)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "# Device configuration\n", + "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", + "\n", + "# Set training run hyperparameters\n", + "batch_size = 128 # number of data points in a batch\n", + "learning_rate = 0.001 # learning rate for gradient descent\n", + "num_epochs = 50 # number of training epochs to perform\n", + "stats_interval = 1 # epoch interval between recording and printing stats" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "transform=transforms.Compose([\n", + " transforms.ToTensor(),\n", + " transforms.Normalize((0.1307,), (0.3081,))\n", + " ])\n", + "\n", + "train_dataset = datasets.MNIST('../data', train=True, download=True, transform=transform)\n", + "test_dataset = datasets.MNIST('../data', train=False, download=True, transform=transform)\n", + "\n", + "valid_size=0.2 # Leave 20% of training set as validation set\n", + "num_train = len(train_dataset)\n", + "indices = list(range(num_train))\n", + "split = int(np.floor(valid_size * num_train))\n", + "np.random.shuffle(indices) # Shuffle indices in-place\n", + "train_idx, valid_idx = indices[split:], indices[:split] # Split indices into training and validation sets\n", + "train_sampler = SubsetRandomSampler(train_idx)\n", + "valid_sampler = SubsetRandomSampler(valid_idx)\n", + "\n", + "# Create the dataloaders\n", + "train_loader = torch.utils.data.DataLoader(train_dataset, batch_size=batch_size, sampler=train_sampler, pin_memory=True)\n", + "valid_loader = torch.utils.data.DataLoader(train_dataset, batch_size=batch_size, sampler=valid_sampler, pin_memory=True)\n", + "test_loader = torch.utils.data.DataLoader(test_dataset, batch_size=batch_size, shuffle=False, pin_memory=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "class MultipleLayerModel(nn.Module):\n", + " \"\"\"Multiple layer model.\"\"\"\n", + " def __init__(self, input_dim, output_dim, hidden_dim):\n", + " super().__init__()\n", + " self.flatten = nn.Flatten()\n", + " self.linear_relu_stack = nn.Sequential(\n", + " nn.Linear(input_dim, hidden_dim),\n", + " nn.ReLU(),\n", + " nn.Linear(hidden_dim, hidden_dim),\n", + " nn.ReLU(),\n", + " nn.Linear(hidden_dim, output_dim),\n", + " )\n", + " \n", + " def forward(self, x):\n", + " x = self.flatten(x)\n", + " logits = self.linear_relu_stack(x)\n", + " return logits\n", + " \n", + "input_dim = 1*28*28\n", + "output_dim = 10\n", + "hidden_dim = 100\n", + "\n", + "model = MultipleLayerModel(input_dim, output_dim, hidden_dim).to(device)\n", + "\n", + "loss = nn.CrossEntropyLoss() # Cross-entropy loss function\n", + "optimizer = optim.Adam(model.parameters(), lr=learning_rate) # Adam optimiser" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Early stopping is a simple technique to avoid overfitting. The idea is to stop training when the validation error starts to increase. This is usually done by monitoring the validation error during training, and stopping when it has not decreased for a certain number of epochs.\n", + "\n", + "*Can we state that overfitting is ultimatelly inevitable given training over a very large number of epochs?*\n", + "\n", + "In this section, we will implement early stopping in PyTorch. We will use the same model as in the previous lab, but we will train it for $50$ epochs with an early stopping." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "class EarlyStopping:\n", + " \"\"\"Early stops the training if validation loss doesn't improve after a given patience.\"\"\"\n", + " def __init__(self, patience=5, min_delta=0):\n", + "\n", + " self.patience = patience # Number of epochs with no improvement after which training will be stopped\n", + " self.min_delta = min_delta # Minimum change in the monitored quantity to qualify as an improvement\n", + " self.counter = 0\n", + " self.min_validation_loss = float('inf')\n", + " self.early_stop = False\n", + "\n", + " def __call__(self, validation_loss):\n", + " # If validation loss is lower than minimum validation loss so far,\n", + " # reset counter and set minimum validation loss to current validation loss\n", + " if validation_loss < self.min_validation_loss:\n", + " self.min_validation_loss = validation_loss\n", + " self.counter = 0\n", + " # If validation loss hasn't improved since minimum validation loss,\n", + " # increment counter\n", + " elif validation_loss > (self.min_validation_loss + self.min_delta):\n", + " self.counter += 1\n", + " # If counter has reached patience, set early_stop flag to True\n", + " if self.counter >= self.patience: \n", + " self.early_stop = True" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialise early stopping object\n", + "early_stopping = EarlyStopping(patience=5, min_delta=0.01)\n", + "\n", + "# Keep track of the loss values over training\n", + "train_loss = [] \n", + "valid_loss = []\n", + "\n", + "# Train model\n", + "for i in range(num_epochs+1):\n", + " # Training\n", + " model.train()\n", + " batch_loss = []\n", + " for batch_idx, (x, t) in enumerate(train_loader):\n", + " x = x.to(device)\n", + " t = t.to(device)\n", + " \n", + " # Forward pass\n", + " y = model(x)\n", + " E_value = loss(y, t)\n", + " \n", + " # Backward pass\n", + " optimizer.zero_grad()\n", + " E_value.backward()\n", + " optimizer.step()\n", + " \n", + " # Logging\n", + " batch_loss.append(E_value.item())\n", + " \n", + " train_loss.append(np.mean(batch_loss))\n", + "\n", + " # Validation\n", + " model.eval()\n", + " batch_loss = []\n", + " for batch_idx, (x, t) in enumerate(valid_loader):\n", + " x = x.to(device)\n", + " t = t.to(device)\n", + " \n", + " # Forward pass\n", + " y = model(x)\n", + " E_value = loss(y, t)\n", + " \n", + " # Logging\n", + " batch_loss.append(E_value.item())\n", + " \n", + " valid_loss.append(np.mean(batch_loss))\n", + "\n", + " if i % stats_interval == 0:\n", + " print('Epoch: {} \\tError(train): {:.6f} \\tError(valid): {:.6f} '.format(\n", + " i, train_loss[-1], valid_loss[-1]))\n", + " \n", + " # Check for early stopping\n", + " early_stopping(valid_loss[-1])\n", + "\n", + " if early_stopping.early_stop:\n", + " print(\"Early stopping\")\n", + " break # Stop training" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Plot the change in the validation and training set error over training.\n", + "fig_1 = plt.figure(figsize=(8, 4))\n", + "ax_1 = fig_1.add_subplot(111)\n", + "ax_1.plot(train_loss, label='Error(train)')\n", + "ax_1.plot(valid_loss, label='Error(valid)')\n", + "ax_1.legend(loc=0)\n", + "ax_1.set_xlabel('Epoch number')\n", + "plt.show()" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "mlp", + "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": "3.12.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +}