{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear Fit" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from smpl import plot\n", "from smpl import io\n", "from smpl import fit\n", "from smpl import functions as f\n", "import uncertainties.unumpy as unp\n", "import uncertainties as unc" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "\n", "data = np.loadtxt(io.find_file('test_linear_data.txt',3))\n", "xdata = data[:,0]\n", "xerr = data[:,2]\n", "ydata = data[:,1]\n", "yerr = data[:,3]\n", "x = unp.uarray(xdata,xerr)\n", "y = unp.uarray(ydata,yerr)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0. , 1. , 0.1, 0.2],\n", " [1. , 2. , 0.2, 0.1],\n", " [2. , 3. , 0.3, 0.1],\n", " [3. , 5. , 0.1, 0.4],\n", " [4. , 5. , 0.1, 0.1],\n", " [5. , 6. , 0.1, 0.2]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SciPy" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ff = plot.fit(xdata, ydata, fmt='.', label='data', xaxis=\"x in a.u.\",yaxis=\"y in a.u.\",function=f.linear, params=[1])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ff = plot.fit(xdata, ydata, fmt='.', label='data', xaxis=\"x in a.u.\",yaxis=\"y in a.u.\",function=f.line, params=[1,2])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ff = plot.fit(x, y, fmt='.', function=f.line, params=[1,1], sigmas=1,lpos=2)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi2 = 6.120448179271708\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ff = plot.fit(xdata, y, fmt='.', function=f.line, params=[1,1], sigmas=1,lpos=2)\n", "print(\"Chi2 = \",fit.Chi2(xdata,y,f.line,ff))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correlations\n", "\n", "Let's take a look at correlations on the example of calculating the y axis intercept. Again:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a,b = plot.fit(xdata, ydata, fmt='.', label='data', xaxis=\"x in a.u.\",yaxis=\"y in a.u.\",function=f.line, sigmas=1,extrapolate_min=-2)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's calculated the intersection with the x axis, given by $-b/a$, with correlation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-1.0648148148148089+/-0.41569533919028134" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "-b/a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and without correlations" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-1.0648148148148089+/-0.3375205305560758" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a_nocorr=unc.ufloat(plot.unv(a),plot.usd(a))\n", "b_nocorr=unc.ufloat(plot.unv(b),plot.usd(b))\n", "-b_nocorr/a_nocorr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While the mean agrees the uncertainties are not the same.\n", "\n", "The Lines drawn in the plot are also correlated and cross the axis at -0.67 and -1.51 corresponding to an uncertainties of -0.42." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minuit" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi2 = 6.120448179271703\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAHWCAYAAAD6oMSKAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB5AUlEQVR4nO3dd3yV9fn/8dfJnidkD/ZUhgwBEUHAQVtrsa22WqVVW7VD7ZDW1aX2961o7dBWax2tdGjtsK7WhbSAqCjDKDjZG0LmSXJyctb9++MKGSQBAklOzuH9fDzyMPc5932fz81NwuV1fz7X5XIcx0FEREREol5cpAcgIiIiIt1DgZ2IiIhIjFBgJyIiIhIjFNiJiIiIxAgFdiIiIiIxQoGdiIiISIxQYCciIiISIxTYiYiIiMSIhN7+wHA4zO7du8nMzMTlcvX2x4uIiIhEFcdxqK2tpaSkhLi4Q+fkej2w2717NwMHDuztjxURERGJajt27GDAgAGH3KfXA7vMzEzABud2u3vscwKBAC+99BIf+9jHSExM7LHPke6h+xVddL+ih+5VdNH9ih69ea88Hg8DBw5sjqEOpdcDuwOPX91ud48Hdmlpabjdbv1wRAHdr+ii+xU9dK+ii+5X9IjEvTqSKWxaPCEiIiISIxTYiYiIiMQIBXYiIiIiMaLX59gdiXA4jN/vP6ZzBAIBEhIS8Pl8hEKhbhqZ9JRYv1+JiYnEx8dHehgiIhLj+lxg5/f72bJlC+Fw+JjO4zgORUVF7NixQ/XyosDxcL/69etHUVFRzF6fiIhEXp8K7BzHYc+ePcTHxzNw4MDDFuE7lHA4TF1dHRkZGcd0HukdsXy/HMfB6/VSVlYGQHFxcYRHJCIisapPBXbBYBCv10tJSQlpaWnHdK4Dj3NTUlJiLlCIRbF+v1JTUwEoKyujoKBAj2VFRKRH9Kl/QQ/MrUpKSorwSES634H/WQkEAhEeiYiIxKo+FdgdoDlIEov091pERHpanwzsRERERKTrFNiJiIiIxAgFdt1kzpw5fOc732n3fXerqKigoKCArVu39sj5O3Ik1/OFL3yBX/ziF70zoD7ipptu4lOf+lSkhyEiItKsT62KjRX/+te/eqwh8E9/+lM+/elPM2TIkB45/9H64Q9/yKxZs7jyyivJysqK9HB6RWlpKZMnT470MERERJopY9cDcnJyyMzM7Pbzer1efv/733PFFVd0+7mP1bhx4xg+fDh/+ctfIj2UYzJnzhwWLVp0RPuWlpYyfvz4nh2QiIhIFyiw6wEHP7qcM2cO3/rWt7jhhhvIycmhqKiIW2+9tc0x4XCYhQsXMnToUFJTU5kwYQL//Oc/2+zz3HPPkZyczKmnngrA/v37KSoq4vbbb2/e57XXXiMpKYklS5Z0Or4XXniBmTNn0q9fP3Jzc/nUpz7Fpk2bDnlNwWCQa6+9lqysLPLy8vjRj36E4zht9pk3bx6PP/74Ic/THW655RZOOukk0tPTKSws5Bvf+EabEiJ//etfSU1NZc+ePc2vffnLX2b8+PHU1NR0yxj27t3Lvn37CIVCzJo1i7S0NKZOncq6deu65fwiIiJHQ4FdL/njH/9Ieno6b7zxBj/72c/4yU9+wuLFi5vfX7hwIX/605/43e9+x7vvvst1113HF7/4RZYtW9a8zyuvvNLm0V9+fj5/+MMfuPXWW1m9ejW1tbV86Utf4tprr+Wss87qdCz19fUsWLCA1atXs2TJEuLi4vjsZz97yDZuf/zjH0lISODNN9/knnvu4Ze//CUPP/xwm31OOeUU3nzzTRobGzs9z+23305GRka7L7fbzYABA3C73Wzfvr3T4x3HwXEcHnjgAd577z0WLVrEE0880WYsX/jCFxg1alRzwHvLLbfw8ssv8/zzz3fbY+LS0lIA7r77bhYuXMjq1avJyMjg4osv7pbzi4hI31Dm8bF+V027r3d3e9hRB+/u9nT4fpnHF5Hxao5dLxk/fjy33HILACNHjuTee+9lyZIlzJ07l8bGRm6//XZefvllpk+fDsCwYcNYsWIFDzzwALNnzwZg27ZtlJSUtDnvJz/5Sa666irmz5/PlClTSE9PZ+HChYccywUXXNBm+w9/+AP5+fm89957jBs3rsNjBg4cyK9+9StcLhcnnHAC69at41e/+hVXXXVV8z4lJSX4/X727t3L4MGDOzzP17/+dS688MJ2r7duKXbwNbbmcrn4yU9+0rw9ePBgzj77bD788MM2+/z0pz/lc5/7HEVFRfzmN7/hlVdeoX///p2et6tKS0tJSUnhqaeeah7vT3/6U2bMmEF5eTl5eXnd9lkiIhI5j76xnXuWbOjk3QR+vm5lh+98+6yRXDd3VM8NrBMK7HrJwXOxiouLm3uHbty4Ea/Xy9y5c9vs4/f7mTRpUvN2Q0MDKSkp7c7985//nHHjxvGPf/yDNWvWkJycfMixbNiwgR//+Me88cYblJeXN2fqtm/f3mlgd+qpp7YpsDt9+nR+8YtfEAqFmttjHWib5fV6O/3snJwccnJy2r0eDofxeDy43e5DthTbtm0bP/vZz1i2bBm7du0iEAjg8/m444472uz3qU99ijFjxvCTn/yEl156ibFjx3Z4vttvv73No+yGhgZWrlzJtdde2/zae++9x6BBg9ocV1payoUXXtgmCM3Ozm6+FhERiQ3zpw1i7pjCNq/5AiE+97vXAXj8yqlkpLb/d7cg89D/FvcUBXa95OBVsi6XqzkAqKurA+A///lPu6xS6yAtLy+PqqqqdufetGkTu3fvJhwOs3XrVk466aRDjmXevHkMHjyYhx56iJKSEsLhMOPGjcPv9x/VtR1QWVkJ2CPizhwcSHWko0AKbE7h1KlTOfPMM/nlL39J//79CYVCTJkyhQkTJrTZ94UXXuCDDz4gFApRWFjY7lwHHJxBnD9/PhdccAHnn39+82sdZRBLS0v52te+1ua1lStX0r9/fwoKCg55fSIiEj0K3CkUuNsmVbz+YPP3o4szyUpP7e1hdUqBXR8wZswYkpOT2b59e/Nj145MmjSp3apTv9/PF7/4RS666CJOOOEErrzyStatW9dpcFFRUcGHH37IQw89xOmnnw7AihUrDjvGN954o832ypUrGTlyZJtm9uvXr2fAgAGHfAx5LI9in332WUKhEH/961+bs4f33nsvgUCAiRMnNu+3du1aLrzwQn7/+9+zaNEifvSjH/GPf/yjw3MenEFMTU2loKCAESNGdHoNXq+XDRs2NPc2PjD+e+65h8svv7zT40RERHqaArs+IDMzk+9973tcd911hMNhZs6cSU1NDa+++iput5vLLrsMgI9//OPcfPPNVFVVNT/2+8EPfkBNTQ2//vWvycjI4LnnnuMrX/kK//73vzv8rOzsbHJzc3nwwQcpLi5m+/bt3HTTTYcd4/bt21mwYAFf+9rXWLt2Lb/5zW/aFSR+5ZVX+NjHPnbI8xzLo9jc3Fw8Hg/PPPMMY8aM4dlnn2XhwoX079+/OUu4detWzj33XL7//e9z8cUXM2zYMKZPn87atWs5+eSTD3udR+Kdd94hPj6eRx55hNmzZ+N2u/nBD35AQ0MDN954Y7d8hoiIRAnn8Lv0Jq2K7SP+3//7f/zoRz9i4cKFjB49mk984hP85z//YejQoc37nHTSSZx88sn8/e9/B2Dp0qXcfffd/PnPf24OiP785z/zyiuvcP/99wOwaNGiNnPj4uLiePzxx1mzZg3jxo3juuuu46677mozloOPAbj00ktpaGjglFNO4ZprruHb3/42X/3qV5vf9/l8PPXUU20WU3S3efPmccUVV/ClL32JmTNnsmvXLi688MLmbF1lZSWf+MQn+PSnP90crE6bNo1zzjmH73//+902jtLSUkaNGsUtt9zCZz/7WSZPnkxiYiKvvfZaj9QvFBGRPibQqvqDvzZy4+iAyzm4GFkP83g8ZGVlUVNTg9vtbvOez+djy5YtDB06tMNFAl1xpJPxo81//vMfrr/+etavX39E13XLLbewbNkyli5desSfcTTH3H///Tz55JO89NJLR3xMa7F6v1rrzr/fkRYIBHjuuef45Cc/2WNdVqR76F5FF92vKFBfjnf3h4z5fTUAb18/hazczudyd4dDxU4H06PYKHPuueeyYcMGdu3axcCBAw+7//PPP8+9997bpc84mmMSExP5zW9+06VjREREokYoAJVboWozBPpu9QMFdlGodVeLw3nzzTe7fP6jOebKK6/s8jEiIiJRwVsJFRugdh+k5UByKrA30qPqkAI7ERERkY6EglCzAyo3QdAP7mKIS+jTGbsuT2batWsXX/ziF8nNzSU1NZWTTjqJ1atX98TYRERERCLD54E9b8Pe9RCX2BLU9XFdGmFVVRUzZszgjDPO4Pnnnyc/P58NGzY0l94QERERiWrhMHh2QflGCNaDu6jDgO4TcW8yJ64UnMntzxFBXQrs7rzzTgYOHMgjjzzS/FrrchwiIiIiUctfDxWboWY7JKaCu4Me474akl65m1sS32ZLuIjy9S+TNeeLvT/WTnTpUewzzzzDlClT+PznP09BQQGTJk3ioYce6qmxiYiIiPQ8xwHPHti5Bqq2QloupHbwNHLrK/CPy3lig8OMxl9zSeCHzH0xm7+t2t7rQ+5MlzJ2mzdv5v7772fBggV8//vfZ9WqVXzrW98iKSmpuTvCwRobG2lsbCnk5/F4AKvVEwgE2uwbCARwHIdwOHzMjdQPlOc7cD7p246H+xUOh3Ech0Ag0KYVWzQ68LN78M+w9D26V9FF9ysCAo1QucWydAlJkFEMLheEWv1b1Ogh/vV7idv0MnucHG4OXkm4KTcWduDmf61j+tBsirN6pkZpV/4+dKlAcVJSElOmTOG1115rfu1b3/oWq1at4vXXX+/wmFtvvZXbbrut3euPPfYYaWlpbV5LSEigqKiIgQMHkpSU1PJGyA/hEL0mLh7ikw6/Xw969dVX+c1vfsPbb7/N3r17+ctf/sK555572OMeeughfvOb31BWVsa4ceO48847mTx5cpf2ueOOO7jzzjvbHDNy5MijKoPS2jXXXENxcTE//OEPj2n8XT3m97//PX/4wx/YsWMHACeeeCLXX389c+fObXOe3bt3c+utt/Lyyy/T0NDA0KFDue+++5g0adIxXHULv9/Pjh072Lt3L8Fg8PAHiIhIxBXWvMXE7X8gJViDg4t/ZH2FG/ad1W6/a8eEGJnVMz0fvF4vl1xySfcXKC4uLmbMmDFtXhs9ejRPPPFEp8fcfPPNLFiwoHnb4/EwcOBAPvaxj3XYeWLHjh1kZGS0VOYP+WHXu/bcuwscx8Hb0EBaamq79liHlZQO/SdHPLibPHkyV111FZ/73OdITU097M3829/+xg9/+EN++9vfMm3aNO655x4+97nP8f7771NQUHDE+yQnJzN27Ng2XSQSEhI6/fwzzzyTSy+9lMsvv7zTsYVCIV566SWeffbZDs/jOA5//OMfDzu2o7nmESNGcOeddzJy5Egcx+FPf/oT8+fPZ82aNYwdOxawhUGf/OQnmTNnDs8991zzwqABAwYc9s/9SPl8PlJTU5k1a1ZMdJ5YvHgxc+fOVXX8Pk73KrrofvWSoB+qt9tjV5cL0nPBddDstMZa4lfeR9xm+7fQyRpEaPaNnJo6irg/7SfcKoaLc8GFnzyjxzJ2B552HokuBXYzZszgww8/bPPaRx99xODBgzs9Jjk5meTk5HavJyYmtvtLGwqFcLlcxMXFtbSVCoYh4IWEZEuRHqFw2IFgHK7kdOLiuhDYBf32eU4Yutja6pZbbuFf//oXmzdvJiMjg/PPP59f//rXR/XDee6557bJ0LX5M+nE3XffzVVXXcUVV1wBwAMPPMBzzz3HokWLmnunHsk+LpeLhIQESkpKjni8hxvfq6++SmJiItOmTesw0A6Hw/z2t7/lyiuvPOTYjuaaP/3pT7c55vbbb+d3v/sdb775JieddBIAd911FwMHDmTRokXN+w0fPvyIr/9IxMXF4XK5Ovy7H61i6Vpine5VdNH96kEHFxtOSm+/z/aVsPzn4C23gG/8RbgmX05CQjKDgNtmu/nRUgu24lyw8PyTGJTXc73Cu/J3oUuRy3XXXcfKlSu5/fbb2bhxI4899hgPPvgg11xzTZcH2WUJSZCQ0gtfR5elcxwHx3F44IEHeO+991i0aBFPPPEEDz/8MGDBREZGxiG/tm8/+smXfr+fNWvWcPbZZze/FhcXx9lnn938mPxI9jlgw4YNlJSUMGzYMObPn39MYwNbeDNv3rxOs6d+v5/S0lLOOqslvd3Z2Fofc6TXc0AoFOLxxx+nvr6e6dOntxmfFgaJiMSwUNDm0u1aA/WV4C5pH9T562DpnfDCTRbUZQ2E834D075mCaYmF4xumUr2wtfGc9HUQb11FYfVpYzd1KlTefLJJ7n55pv5yU9+wtChQ7n77ruZP39+T40varhcLn7yk580bw8ePJizzz67OcP59a9/nQsvvPCQ5+hKhuxg5eXlhEIhCgvbNiIuLCzkgw8+OOJ9AKZNm8aiRYs44YQT2LNnD7fddhunn34669evJzPz6P6P5Omnn+ZXv/rVMY3/WI5Zt24d06dPx+fzkZGRwZNPPtlmWsHRLAwSEZEo4auxunS1uyElC9Lz2u+z401YfhfU7wdcMP7zMOWKNgFdRwozIztt62BdLqH8qU99ik996lM9MZaotm3bNn72s5+xbNkydu3aRSAQwOfzcccddwCQk5NDTk5OhEd5ZM4555zm78ePH8+0adMYPHgwf//737niiiu4/fbbuf3225v3aWhoYOXKlVx77bXNr7333nsMGmT/B/P++++ze/fu5mzco48+yte+9rXmfZ9//vker4d4wgknUFpaSk1NDf/85z+57LLLWLZsWXNwFw6HmTJlSvN1TZo0ifXr1/O73/1OgZ2ISLQ6uNhwZgfFhv31sPK38MF/bNvdH+bcBEUnHdlndHUefw/r+70xosD+/fuZOnUqZ555Jr/85S/p378/oVCIKVOmMGHCBIB2wVBHWgdDXZWXl0d8fDz79u1r8/q+ffsoKio64n060q9fP0aNGsXGjRuB9tnH+fPnc8EFF3D++ec3v9Y6+/jMM88wd+7c5gUD5513HtOmTWt+v3///rhcri6PrSvXk5SUxIgRIwBblLJq1SruueceHnjgAeDoFgaJiEgf1lgHFZus12tSesfFhneuhmU/g/oywAXjLoBTrrSpWZ0JB8FT1rKdmNHtQz8WCuy6wbPPPksoFOKvf/1r8xyye++9l0AgwMSJE4GefxSblJTE5MmTWbJkCZ/5zGcAy0ItWbKkOZN2JPt0pK6ujk2bNvGlL30JaJ99TE1NpaCgoDlwOtjTTz/NV7/61ebtzMzMdo90w+EwEydO5L///W9zgHi4sR3t9RzYr3V9xaNZGCQiIn2Q40DtHijfYP1eMwvaV7nwe+GN++H9Z207swTm3AjFEw59bl81+OogowhoCu66skCzFyiw6wa5ubl4PB6eeeYZxowZw7PPPsvChQvp378/+fn5QNcfxdbV1TVnyAC2bNlCaWkpOTk5DBo0iHvvvZcnn3ySJUuWNO+zYMECLrvsMqZMmcIpp5zC3XffTX19PV/+8pe7tM/3vvc95s2bx+DBg9m9eze33HIL8fHxXHzxxV3+sykrK2P16tU888wzh9336quv5uqrr2bq1Kkdju1or/nmm2/mnHPOYdCgQdTW1vLYY4+xdOlSXnzxxeZ9rrvuOk477TRuv/12LrzwQt58800efPBBHnzwwS5fs4iIREigwVqCVW+zxZBZ/ds/Kt21FpbdCXVNT3vGng+nXGUtxDoT8kPdfkhMg+LxkFIILOl8/wiKnsAu6O/a/mEHgj4Ixnctmu7q5wDz5s3jiiuu4Etf+hKpqal88Ytf5MILL2Tbtm1dPtcBq1ev5owzzmjePlAL8LLLLmPRokWUl5ezadOmNsdcdNFF7N+/nx//+Mfs3buXiRMn8sILL7RZXHAk++zcuZOLL76YiooK8vPzmTlzJitXrmwOUrvi2Wef5ZRTTiEvr4OJqgc5//zzqa+v73RsR3vNZWVlXHrppezZs4esrCzGjx/Piy++2KZAsRYGiYhEuboyKP/Iyplk5Ld/nBrwwhsPwntP2XZmEcy+EUoOUYTecaChygLGrP6QMxxS3ODvu0Xmu9R5ojt4PB6ysrI6rJ7s8/nYsmULQ4cObSngGvTb0mR/XZc+J+w41Hu9pKelEdflAsUZVqD4KEufSIvzzjuPmTNncsMNNxxyv3A4jMfjwe12H7ZeX7Tq8O93lAoEAjz33HN88pOfVK2tPk73Krrofh2FoN8KDVdusppz6Xntiw3vLrUsXe0e2x7zaSthkph28NlanbfRsnTJmZA3wh7XNv375PUHGfNje+rz9o/OJCv9ENm+bnCo2OlgfT9jl5BkQVa4i9GxEybkqQV3ZvsbfDhxCQrqusnMmTOP6hGuiIjIYXkrLUtXVwZpuZB0UKAWaIBVD8P6poVwGYUw+waLKzrjONBQaYFd9hDIGQrJfWuBxKH0/cAOmoKsLgZa4TAkBi0aj9EMUDQ4XKZORESky0JBawlWuQnCASs2HBffdp+978DSO8Cz27ZPnAenfr3jThMHBH2WpUvNhoIxtkgiymKI6AjsRERERKCp2PAGC9hS+0HyQXO4gz5Y9XtY90/AgfQCmH09DJja+TmdMNSXQzhk8+hyhjZn/8o8PspqG9vs7guEmr9/f08tGant5+cXZCZT4O79aTcK7ERERKTvC4daig0HvOAubl9seO96WHYH1Oy07RM+CdOvtrnznQl4ob7C+sbmjoSMgjYraR99Yzv3LNnQ6eFfeHhVh69/+6yRXDd31BFfXndRYCciIiJ9W3Ox4e023y3roGLDwUZY/Qd45+9Yli4PTr8eBk3r8HSABYrecnCAvFE2ny6xfYZt/rRBzB1T2O71YDDIihUrmDlzJgkJ7cOpgsxDtyLrKQrsREREpG9yHHvkWr7BqmNkdFBsuOw9m0tXvd22R30Cpl9jq1k7468DbxWk50PuCCuP0okCd0qHj1QDgQDbMmBsibtPrWBWYNeNbrrpJtavX8+///3vSA9FREQkugUaLEtXvQ0Skm2BROvyZcFGWLMI3vmbzZFLy4VZ34NB0zs/ZzgIdeW20CJ/NGQPjrkqGNG11KOPKy0tbe4Ne6yWL1/OvHnzKCkpweVy8dRTTx3Rcffddx9DhgwhJSWFadOm8eabbx7VPrt27eKLX/wiubm5pKamctJJJ7F69epjuqYvf/nL/PCHPzzkPr/97W8PO7bWjvTPqbv+XEREpIc5DtTusz6ulZstYEvLbRvUlX0AT34N3v6rBXUjPwafX3TooK6xFjx7ID0XBkyB/JExF9SBArtuVVpayvjx47vlXPX19UyYMIH77rvviI/529/+xoIFC7jllltYu3YtEyZM4OMf/zhlZWVd2qeqqooZM2aQmJjI888/z3vvvccvfvELsrOzO/3sOXPmsGjRok7fD4VC/Pvf/+a8887rdJ9//etffPe73z3k2A52JH9O3fXnIiIiPSzYCPs/tLZfwQbIGmDZugNCfnjzYXj6aitKnJoNH/s/OOP7nT96DQftcW7ID4XjrNNE2pG3+Iw6Ti+rqalxAKempqbdew0NDc57773nNDQ0HPPnhEIhp6qqygmFQsd8riOxZ88eB3AeffRR5/TTT3dSU1OdKVOmOO+8884xnxtwnnzyycPud8oppzjXXHNN83YoFHJKSkqchQsXdmmfG2+80Zk5c2aXxjh79mznkUce6fT95cuXO8XFxU44HO7w/VAo5EyePNm5+uqrDzm2Q+nsz6m7/lyOVXf+/Y40v9/vPPXUU47f74/0UOQwdK+iy3F9v+rKHWfra47z7tOOs3WF4+xa2/br7ccd5+4JjnOL277+fL7jbPpf+/1af236r+O8+4zj7FjtON7Kbh1ub96rQ8VOB1PGrpuUlpYCcPfdd7Nw4UJWr15NRkZGc9eF22+/nYyMjEN+bd++/ag/3+/3s2bNGs4+++zm1+Li4jj77LN5/fXXj3gfgGeeeYYpU6bw+c9/noKCAiZNmsRDDz101GM7cM558+bh6qS9m9/vp7S0lLPOOuuQY+uq7vxzERGRHhAK2Fy6XWvAV21z6Vq3+goFbMXrk1+Hqi2Q0g/m/gTO/CGkZHVyTr+VRgk7UDweiidYdu84oMUT3aS0tJSUlBSeeuopSkpKAPjpT3/KjBkzKC8v5+tf/zoXXnjhIc9x4LijUV5eTigUorCw7ZLswsJCPvjggyPeB2Dz5s3cf//9LFiwgO9///usWrWKb33rWyQlJXHZZZcd1fiefvppfvWrXx3T+I9Gd/65iIhIN2uosrp0tXsgLbt9vbnyDVaXrmKTbQ87A2Z82woTd8RxLDj0e60kSs5wSDl0b9VYo8Cum5SWlnLhhRe2Cc4OzEkLh8Pk5eWRkxMdz/TD4TBTpkzh9ttvB2DSpEmsX7+e3/3ud82B3e233978PkBDQwMrV67k2muvbX7tvffeY9CgQbz//vvs3r27ORv36KOP8rWvfa15v+eff56hQ4f2xqWJiEhfEA5BzQ4L2IK+9sWGw0F461FY+ydwQpaZm3kdDJvT+TmDjdYOLDkTSiZCZnH7NmPHAQV23aS0tLRNsAKwcuVK+vfvT0FBQbtAqCMHAqGjkZeXR3x8PPv27Wvz+r59+ygqKjrifQCKi4sZM2ZMm31Gjx7NE0880bx9cAZy/vz5XHDBBZx//vnNrx0Icp955hnmzp1LSorVATrvvPOYNq2laGT//v1xuVxHNLau6s4/FxER6QaNtVCxEap3QkqmPXptrXIz/G8hVDR1exg6y4K6zh6lOg40VELAZ0WGc4ZaEePjlAK7buD1etmwYQOhUEvvuHA4zD333MPll18OtA+EOnIsj2KTkpKYPHkyS5Ys4TOf+UzzGJYsWdKcRTuSfQBmzJjBhx9+2Ob8H330EYMHD27ezsnJaZOBTE1NpaCggBEjRrQb29NPP81Xv/rV5u3MzEwyM9uuXgqHw0ycOJH//ve/zcFhR2Prqu78cxERkWMQDkPtgWLD9ZBZCPGtCvuGg1D6V1j7R/s+2W2PXYef2bbUSWtBn2XpUvpB/zGQUQRxx/fyAQV23eCdd94hPj6eRx55hNmzZ+N2u/nBD35AQ0MDN954I9A+EDqcuro6Nm7c2Ly9ZcsWSktLycnJac7q3XvvvTz55JMsWbIEgAULFnDZZZcxZcoUTjnlFO6++27q6+v58pe/3HyeI9nnuuuu47TTTuP222/nwgsv5M033+TBBx/kwQcf7PKfTVlZGatXr+aZZ5457L5XX301V199NVOnTu10bAdf85H8OXXXn4uIiBwlv7el2HBiavuWYJVbYOlCKP/ItgfPgNMXWP26jjhh8FbYI92cYfaVlNbxvscZBXbdoLS0lFGjRvHjH/+Yz372s1RXVzNv3jxee+21dpmpI7V69WrOOOOM5u0FCxYAcNlllzXXiysvL2fTpk3N+1x00UXs37+fH//4x+zdu5eJEyfywgsvtFkUcCT7TJ06lSeffJKbb76Zn/zkJwwdOpS7776b+fPnd/k6nn32WU455RTy8vIOu+/5559PfX39Icd28DUfyZ9Td/25iIhIFzkO1O2zLJ2v2lp4ta5LFw5a54jViyAcsPlxp30LRpzdeZYu4IX6CqtFlzsCMgo73/c45HIcx+nND/R4PGRlZVFTU4Pb3Xalis/nY8uWLQwdOrR5PtbRCofDeDwe3G43ccd5WjaSzjvvPGbOnMkNN9xwyP2Oh/vVnX+/Iy0QCPDcc8/xyU9+sk/1SJT2dK+iS0zdr4DPypNUbbWFEQd3j6jaZj1e979v24NOg1nf7TxLFw6Bt9yCxewhkD0UEiP3u7Q379WhYqeDKWMnPWrmzJnNtfxEROQ4UV8O+z+yQCw9zx6/HhAOwbp/wOrfW426pHTL0o38WOeZN389eCst45c7ws6pLF2HFNhJjzpcpk5ERGJI0G+ZuKrNgGNz6VytnsJUb4dld8K+d2174KmWpUvP7/h84SDU7wdXAuSPhuxBbR/lSjsK7EREROTYeSutREntPpv/lpTe8l44BOufgFUPW1eIxHQ47VoY9YnOM2+NtdBQA5kFkDMC0jt5RCttKLATERGRoxcKNhUb3mjfH1xsuGanzaXbt962B0yFWddDRkHH5wsHrYRJfCIUjoV+A9uWRZFDUmAnIiIiR8fnsRWvnt3Wuiu9VQUEJwzr/wVvPgShRuv/Ov1qOOHczrN0vhrw1VpwmDv8uOnv2p36ZGDXywt1RXqF/l6LSMwIh8Gzy/q8BuvBXdQ2S+fZBct+Bnvetu3+k2H2DVaapCOhANSXQUIaFI2DrIEQ3ydDlD6vT/2pxcdbTze/309qauph9haJLl6vFyD6SxiIyPHNX28BXc0Om0fnblVs2AnDe0/DGw9YV4iEFDj1ahg9r/MsXUM1+Osga4AVGk7J6pXLiFV9KrBLSEggLS2N/fv3k5iYeEz1zMLhMH6/H5/PF7N10WJJLN8vx3Hwer2UlZXRr1+/5v+BERGJKo4DtXuaig17IOOgYsOePbbidU+pbZdMglk32GPVjgQbrSxKUjoUT7SesXH6/Xis+lRg53K5KC4uZsuWLWzbtu2YzuU4Dg0NDaSmpuJSrZs+73i4X/369aOoqCjSwxAR6bpAA1RstpZgCUlNZUyaflc7YXj/WVh5f0uWbtrXYcx5bUudHOA40FBpBYyzBkLuMOs4Id2iTwV2YA3ZR44cid/vP6bzBAIBli9fzqxZs/ToKwrE+v1KTExUpk5EolNdmfVw9VY2ZeladXuo3QvLfwa71tp28QSbS+fu3/G5go1Wly7ZDSWjIbMYYuwpTaT1ucAOIC4u7phbLsXHxxMMBklJSYnJQCHW6H6JiPQxQb+1A6vcZJm31sWGHQc++A+s/K31bo1PhmlfhbGf7TxL562wRRLZQyFnaNs6d9Jt+mRgJyIiIhHkrbQsXV2Z9W5NSmt5r64Mlt8FO1fZduE4mHOTLX7oSKDB5tKlZkPRSbYyNkan3PQFCuxERETEhILW9qtyE4QDbRc0OA58+Dy8fh8E6iE+CaZeBePO73jRgxO2gC4chryRkD2kbc9Y6REK7EREYkCZx0dZbWO714PBIDvq4N3dHhIS2v/KL8hMpsB9bFNfJEY0VFv3CM9uSO0Hya2KDdfvh+U/hx1v2HbhWJh9I/Qb1PG5/F579JqWB3kjrBessnS9QoGdiEgMePSN7dyzZEMn7ybw83UrO3zn22eN5Lq5o3puYNL3hUPW9qtio61qbd0SzHFgw4vw2m+sfl18Iky5Ak76fMdZunDIgkBXHOSfCNmD25ZEkR6nwE5EJAbMnzaIuWPaVvX3BUJ87nevA/D4lVPJSG3/D2xBpv7RPa411lpAV7MTkjPs0esB9eXwyi9gu/0dIn+0zaXLHtzxufx14K2yHrC5I9q2F5Neo8BORCQGFLhT2j1S9fqDzd+PLs4kK13zm6RJONxSbNhfawsa4psqEjgObFxsWbrGWohLhClfhvEXtm0b1nyuINSVWwuwgjH2eDYhqXevR5opsBMRETme+L1QscmKDSemtl3N6q2AV34J21617fwTYPZNVp6kIz4P+GqsHl3ucEjL6fnxyyEpsBMRETkeOA7U7WtqCVZtCxoOzH9zHNj0X3j1Hmj0WGZu8uUw4QudZ+lq90FiipUwyRrQkvGTiFJgJyIiEusCPqjaApVbLABzt2oJ1lAFr/wKti637bxRNpcuZ1jH5/JVg6/O5uPlDrcVtNJnKLATERGJZfXlsP8j8JbbgobWteQ2L4UVv7LHqa54mHwZTLyk4yxdyA91+yExHYrHW5auo5WxElEK7ERERGJRKACVW6FqM+C0bQnWUA2v3m2BHVjmbfZNVkj4YI5jWTq/186RMxxS3L1xBXIUFNiJiIjEGm8lVGyweXBpOW37sm5e1pSlq7Ys3aQv2ldHc+SCjZalS86EkomQWQJxHfSClT5DgZ2IiEisCAWhZofVpgsF2xYb9tXAq7+GTUtsO2eYzaXL66BAteNAQ6XNzcseYqtikzN67TLk6CmwExERiQW+GihvagmW4m5bIHjrCis23FBlj2MnXgInX2r9Xg8W9FmWLqUf9B8DGUXK0kURBXYiIiLRLBwGzy4L6oL14C5qlaXzwGu/ho0v23b2EMvS5Z/Y/jxO2OrYhUOWzcsZBklpvXYZ0j0U2ImIiESrxjorNlyzw+bRufu3vLftNVj+c3uk6oqzmnSTL+84SxfwQn2FzcfLHWGdKA6UQ5GoosBOREQk2jhOS0swnwcyC1oCtsZaeP1e+OhF2+43yLJ0BWM6OE/YyqE4YVsRmz3Uig5L1FJgJyIiEk0CDS0twRKSm8qYNGXXtq+0LJ23HHDB+Iusz+uBDhOt+ett9Wx6vmXp0vOUpYsBCuxERESigeNA/X4o/wi8VZCRBwlN2TV/Hbz+W/jwOdvOGgizb4Sice3PEw7ZeVxxNtcue3DHgZ9EJQV2IiIifV2w0dqBVW2xgCyrpKXY8M5VsOxnFqzhgpM+D1Ov6DhYa6y14sSZhZAzAtJze/MqpBcosBMREenL6itsLl19mQViiU0rVf31sPJ++ODftu3uD3NuhKLx7c8RDloJk/hEKBxr8+46KkgsUU+BnYiISF8UCkD1dptP54TAXdLSm3Xnalh+F9Tts+1xF8ApV7U8mm3N54FGj9Wjyx1uK18lZimwExER6Wt81VC91Va+pmVDUlPXB78X3vgdvP+MbWeWwOwbrN3XwUIBqCuDxFQoHGfz7uL1z36s0x0WERHpZWUeH2W1je1eD/ob2VEH777zFgkEIDUP/PGAn/T9pQwq/SXx9Xtt57GfhVO+aoHbwXzV4KuzLF/ucEjt15OXI32IAjsREZFe9ugb27lnyYZO3k3g5+sCTd9XkYaPGxP+ymUJi+2lzCJb8Voyqf2hIb/NpUtMh5IJNu/uwONbOS4osBMREell86cNYu6YQtsIh8G7H1/5dj73rGXxHj8/m4ykeNLK32HA2l+Q5N0DgHfkPNJmfKN9qy/HsT6wgQara5cz3PrFynFHgZ2IiEgvK3CnUOBOsZWtFZvB2Y43t2Xhw+isIFnrHob1T9gLGYUw63rSBkxpf7Jgo2XpkjNtrl1mCcTF9c6FSJ/TpTt/66234nK52nydeGIHjYRFRESkc44Dnj2wcw1UbYW03OZ5cFNcH5Dx76+3BHUnfgo+9wc4OKhzHPBW2Ff2EHs/a4CCuuNclzN2Y8eO5eWXX245QYKSfiIifd0+j4+s9A4m2UvvC/hatQRLamkJ1tDAN+P/xalx71PmaaA4Ix9mXQ8DT2l/jqDPsnQp/aBkjJUyUUAnHEVgl5CQQFFRUU+MRUREutETa3Y2f/+JX7/GwvNP4qKpgyI4IqGurKklWCVk5LfUndv3Lk8/9zL3hS7gN6HziSPMwlPTuGjgQTXnnLBl6MIhyBlmXwfPt5PjWpcDuw0bNlBSUkJKSgrTp09n4cKFDBrU+S+KxsZGGhtblnR7PB4AAoEAgUCgs8OO2YFz9+RnSPfR/Youul99354aH7c8827zdtiBm/+1julDsynO6qCIrfSsoN+KDR9oCZZRbP9t9BG39hH2rVvCD3x3E26aIRUmjpuX+5g+JEBxRtOq1oAX6ishNRsKhkF6gWX69HMYEb35e7Arn+FyHMc50p2ff/556urqOOGEE9izZw+33XYbu3btYv369WRmZnZ4zK233sptt93W7vXHHnuMtDT9X4aISE/YUOPi3vfal7m4dkyIkVlH/GtfelB2/SYmbXuQzMY9vBYawyWBH7bbR/dLALxeL5dccgk1NTW43Yde7dylwO5g1dXVDB48mF/+8pdcccUVHe7TUcZu4MCBlJeXH3ZwxyIQCLB48WLmzp1LYqL64fV1ul/RRfer79tT42POL5YTbvUbPs4FS787Sxm73hIKQM0uy9KFA5CebzXlQn7i1v6RuHV/w+WEcVJz2Dn5BmYvGdT+fn0hg+K4altckTsM0vIsSycR15u/Bz0eD3l5eUcU2B3Tyod+/foxatQoNm7c2Ok+ycnJJCcnt3s9MTGxV/5B6K3Pke6h+xVddL/6rkF5idx23lh+9LQ9jo1zwcLzT2JQXsdPV6SbNVRDxUbw7LbVrsn59vr+D2DpHbYSFmDEXFynfZOBKW5uC9bxo6U2XSnOBQtPczEo1QfZoyF7MCS0/7dUIq83fg925fzHtISmrq6OTZs2UVxcfCynERGRHnDB5AHN37/wrdO0cKI3hENQtQ12rYG6feAutvpyIT+sehieutqCutRs+Nj/wZk/aC4kfMHolulJL3wqyEUTcqD/ZMgfpaBOjliXMnbf+973mDdvHoMHD2b37t3ccsstxMfHc/HFF/fU+EREpBsUuvX4tcc11lqWrmYXJGdYn1awVbBL74DKzbY9/CyY8S1IyWp7fDjU/G3h4BOgaJiVQxHpgi4Fdjt37uTiiy+moqKC/Px8Zs6cycqVK8nPz++p8YmIiPRt4TDU7obyDdZJIqMA4hNtjt1bf7EvJ2Q152ZeB8Nmtz+HzwO1NUDTgpfswQrq5Kh0KbB7/PHHe2ocIiIi0edAS7Ca7ZCYasWGwTJ3SxdaIWKAYXNgxneau0s0Cwettl1CMhSOBT7ovbFLTFLbCBERka5yHKjda1k6X7Vl6RKSLVArfQzW/NGydMluy9INP6PN4WX1IcqqaqDRa6tl+w3A52uZY/f+nloyUv3tPrYgM9l6zIp0QoGdiIhIV7RuCRafaP1ZXS6bQ7f0DptTBzBkFsz8DqQd1D0iFODR1WXc87YLW8NY0fTV4gsPr+rwo7991kiumzuqu69IYogCOxERkSPVUUuwcBDe+ius/aN9n+yGGd+G4We2rznXUAV+L/OnFDF3Wgkkp7d5OxgMsmLFCmbOnNlhL/aCTK2OlUNTYCciInI4Qb+VKancbMFaVn9rCVa5BZbdAfs/tP0Gz4DTF1hB4TbHN0J9OSSlQ/EECtwlFMS17wwSCATYlgFjS9yqESlHRYGdiIjIodRXQMUGy9al5UJSmmXm3n4cVj9iXSWSM+G0b8KIuW2zdI4DDZUW2GUNtO4RySoSLT1HgZ2IiEhHQgGo3gGVmyx4c5dYS7CqbTaXbv/7tt+g6XD6dyE9r+3xwUYLBlOyoHg0ZBZD3DH1BRA5LAV2IiIiB2vXEizPCgi//Tis/r0FfUnplqUb+fH2WTpvhXWbyB5qWbqk9M4+SaRbKbATERE5IByCmh226jXos5ZgcQmWuVt2B+yz3rsMnAazvmelSloLNNhcutRsKBwHmUXtF1CI9CAFdiIiImDdHyo3QfVOSMm0R6/hELzzD1j1kGXgEtNh+jVwwjkHZenCTVm6IOQMtyxdYmrkrkWOWwrsRETk+HZwS7DMQqtPV7MTlt0Je9fZfgOmwqzrrRhxawGvLbBIy4Gikfa+snQSIQrsRETk+NVRSzAnDOufgDcehFAjJKbBqVfDiee2DdjCIfCW25y6vJE2ny5RXSEkshTYiYjI8ae5JdhH9gg2I99agnl2W5Zuz9u2X/+TYdYNNleuNX+9FSlOz4fcEbYiVlk66QMU2ImIyPEl0GBZuuptkJBkWTocePdJeOMBWzSRkAKnfgNGn9c+S1e/34oT558I2YMtIBTpIxTYiYjI8cFxLCg7uCVY7R5Y9jPY/ZbtVzLJsnTu4rbHN9ZaGZSMAsgdCem57T5CJNIU2ImISOwLNlr7r6otlm3L6g+44L2n4Y3fWRYvIQWmfQ3GfNr2OSAchLpyiE+AwrHWQSIhKWKXInIoCuxERCS21VdYlq5+v2XZEtNsft3yu2DXGtunaDzMuRHc/dse6/OAr8a6RuQOt5WvIn2YAjsREYlNoYC1/6rcDE7I6tK54uD9f8PK31qZkvhkmPZVGPvZDrJ0ZTZ/rugkyBpgJVBE+jgFdiIiEnsaqqwuXe1eSMuGpAwL1JbfBTtX2T6F42DOTRa0tearAV+tBYK5w62lmEiUUGAnIiKxIxS0lmCVmyDotwUQrnj48Hl47V4I1EN8Eky9EsZdAHHxrY4NQH0ZJKRB8UngHmDz6kSiiP7GiohIbPDVQPlGq0WX4gZ3rs2rW/4L2LHS9ikYY1m6foPaHttQDf46y97lDIOUrF4fvkh3UGAnIiLRLRwGz04o3wTBenAXWZbuoxfhtV9bMeH4RJhyBZz0+YOydH57RJuUAcUT7fFr6/dFoowCOxGRGFDm8VFW29jmNV8g1Pz9+3tqyUj1tzuuIDOZAncUt8FqrIOKTfb4NSndVrV6KyxLt/012yd/tGXpsge3HOc4Ng8v6IOsQZA7DJIzI3MNIt1IgZ2ISAx49I3t3LNkQ6fvf+HhVR2+/u2zRnLd3FE9NayeEw5bYeGKjVY4OCMf4hJhw2LL0jXW2vaUy2H8RRDX6p+7YCPU7bdArngCZJZAXFynHyUSTRTYiYjEgPnTBjF3TGG714PBICtWrGDmzJkkJLT/lV+QGYXtsPxeK2FSvc3KkbhLLPu24pewdYXtkzfKsnQ5w1qOcxxoqLTALnsI5AyF5IyIXIJIT1FgJyISAwrcKR0+Ug0EAmzLgLElbhITo7wOm+NA3T4rY+KrhvR8W+G66b/w6j3Q6LHM3MmXwcSLD8rS+aC+HJKzoGQMZBQpSycxSYGdiIj0fQGftQOr3GIlSNz9Lbj7309hy3LbJ3ekZelyh7cc5zg25y4UgOyhlsFLSovIJYj0BgV2IiLSt9XttyydtxzS8yAxFTYvhRW/shInrng4+VKYNL9tli7QYFm61GzrHpFRCC5XxC5DpDcosBMRkb4p6IeqrTafzuWCrP72uHXZz2Dz/2yfnOGWpcsb2XKcE7aALhyG3BE2ly4xNSKXINLbFNiJiEjf462E8o+sxlxarj0+3bLcsnQNVdbXddKXYNIX2/ZwDXihvgLS8uyRbEaBsnRyXFFgJyIifUcoANVNLcHCAVvx6q+DJf8PNi2xfbKHWpYu/4SW48Ihe1TrYCtis4dAYhTX5xM5SgrsRESkb2iosmLDnt2Q2g+S86x8ySu/aMnSTbzE5tPFJ7Uc56+3DF96vj16zciP2CWIRJoCOxERiaxwCKq321y6oA/cxVar7r8/hY2LbZ/sITD7Jig4se1x9fst4Ms/0TpLJERhXT6RbqTATkREIsfnsRWvnt2QkmmPXre9Zlk6b4UFbeMvgsmXtw3a/HXgrbI5dLkjIT03Ypcg0pcosBMRkd4XDoNnF5RvhGA9ZBZatm7pQvjoRdun3yCbS1cwptVxQagrt1p2BWNsn4Skjj9D5DikwE5ERHpXY53NpavZAUnpVmx4+xvwyl1WpgQXjL8QpnylbZausRYaqiGzyObSpeVE6gpE+iwFdiIi0jscB2r3NLUE80BmAYT8Vpfuw+dsn6wBNpeuaFzLceGglT2JT4LCcdBvYNsSJyLSTIGdiIj0PL/XFkdUb7MsXFZ/2LXagrr6/YALTvocTL0CElqVKfHVgK/WFlTkDrcuEiLSKQV2IiLScxwH6vZZlq6habFDOGiLIz74t+3jLrEsXfH4luNCAQv4ElIse5c10ObVicgh6adERER6RsAHVVugcosFZVkDYPday9LV7bN9xl0AU69s2/LLVw2+Ogv4codbTTsROSIK7EREpPvV7bcsnbcc0vMAB169G9572t7PLIbZN0LJxJZjQgGoL4OENMveZQ2AuPgIDF4keimwExGR7hP0Q9VWm0/nctlcuj1vw7I7oXav7TPmMzDtq5CY1nJcQ7V1kMjqDznDIcUdgcGLRD8FdiIi0j3qK6Big61gTcu1wO6138C7T9r7GYWWpet/cssxIb/tn5QBxRPs8auydCJHTYGdiIgcm1DAWoJVbAInaMHZvvWw9E6o3W37jD4Ppn0dkpqydI5jiymCPsgaBLnDIDkzctcgEiMU2ImIyNFrqLLuEbV7Ia0fxCXAyt/C+n8BDqQXwOwbYMCUlmOCjTYHLznTsnSZJRAXF6krEIkpCuxERKTrQkHrHFG5yebVuYug7H2bS1ez0/Y58Vw49WrrLgFNWbpKWy2bPQRyhkJyRsQuQSQWKbATEZGu8dVYls6z2xY5pGXAGw/Cun9gWbo8mHUDDDyl5Zhgo9WlS3ZD/zGQUaQsnUgPUGAnIiJHJhwCzy4L6oINlqXb/yEsvcOydwCjzoHpV7fMl3Mc8FbYPLzsoZalO5DBE5Fup8BOREQOr7EWKjbaY9bkDFv1uur38M7fwAlDWh7M+h4MOrXlmKDP5tKlZluP18wiWykrIj1GgZ2IiHQuHLaVreUbwV9rLcEqNlmWrnqb7TPy43Data2ydGHL0oVDVpMuZ2jLalgR6VEK7EREpGP+eqjYbAFcYqoFdWv+CG//1YK31BzL0g0+reWYQAPUl1uWLm+k1a5Tlk6k1yiwExGRthzHypeUb7C+rRkF1vP1PwusqwTAiLPhtG+1dIhwwhbQhcMW0GUPadv/VUR6hQI7ERFpEWiwR63V2yEhyTJub/0ZSh9tytJlw+kLYMjprY7xWteJtFwL6tLzlaUTiRAFdiIiYlm6ujIo/8iKDmfkQ/UOeO566/sKMPxMmPEtSOnXdExTls4JQ96opixdSqSuQERQYCciIgGfPWqt3Arx8ZalK30U3voLOCEL5GZeB8Nmtxzj99oCifR8yB1hgaCIRJwCOxGR41ndfptL5y2H9FwrOvzCzVbaBGDobAvqUvvZdjhkhYZdcZB/ImQPhoTkiA1fRNpSYCcicjwK+m0hROVmcAGZhfD247bq1QlZh4iZ18HwM1qO8deDt9L6v+aNsA4TItKnKLATETne1FdAxQabU5eWC3V74aUf2fw6sIURM6+DtBzbDoegvgxcCZA/uilLlxS58YtIpxTYiYgcL0IBW+1asQmcoM2lW/d3WLMIwkErMDzj2zD8rJZVrf468FZZRi9nhD2uFZE+S4GdiMjxoKEKarZZfbq0fraa9dlvWq9XgMEzrIxJWlPgFg5CXTnEJ0DhWMgaqCydSBRQYCciEstCQfvv7lIgaKtX1z8Bqx+BcACSMqyEyYi5LVm6xlpoqLYsXe7IlkeyItLnKbATEYlVDdVQ1jRvLiHZSpT8+ztQ9r69NuhUOP17LYsgwkFbJRufCIXjoN9A+15EokbcsRx8xx134HK5+M53vtNNwxERkWMWDkHVNti1Bmr3gRMm7qPn4IkrLahLSofZN8LHF7YEdY214Nljden6T4bcYQrqRKLQUWfsVq1axQMPPMD48eO7czwiInIsfB6o3AQ1uyA5HQgxc8NPia/fYO8PPMWydBkFth0O2urYhGQoOsnm0sXrYY5ItDqqjF1dXR3z58/noYceIjs7u7vHJCIiXRUOWwuwnWssqEvLhY8Wk/DkVeTWb8BJTINZ18Mn7mwJ6nwe8Oy11bH9J0POUAV1IlHuqH6Cr7nmGs4991zOPvts/u///u+Q+zY2NtLY2Ni87fF4AAgEAgQCgaP5+CNy4Nw9+RnSfXS/oovuVx/jr4fKLVCz0x6zhsPEP3c9cfvW4QLKMseR+fGbScgqhrBjiyZqyyAxFfJGg7u/BXS6nxGnn63o0Zv3qiuf0eXA7vHHH2ft2rWsWrXqiPZfuHAht912W7vXX3rpJdLS0rr68V22ePHiHv8M6T66X9FF96uPccIMLX+CMbv+TpzjJxiXwvr+F7Mtdw5sCgE7DzqgHni36Uv6Ev1sRY/euFder/eI93U5juMc6c47duxgypQpLF68uHlu3Zw5c5g4cSJ33313h8d0lLEbOHAg5eXluN3uIx5oVwUCARYvXszcuXNJTNQE4L5O9yu66H71AX6vtQSr3m6Zt4CX+BU/J27v2wCEiycROv16AmkFLH57N3PH5ZPoq4SEFHvkmlmix659kH62okdv3iuPx0NeXh41NTWHjZ269FO9Zs0aysrKOPnkk5tfC4VCLF++nHvvvZfGxkbi4+PbHJOcnExycvsG0YmJib3yl7a3Pke6h+5XdNH9igDHsSLD5RugsQYyc+GjF+GN30HQZ4Hbqd8gbvQ84lxxEAoDkNhQQWK/EuvxmpIV4YuQw9HPVvTojXvVlfN3KbA766yzWLduXZvXvvzlL3PiiSdy4403tgvqRESkGwUaoGIzVG+zLhCueHjxB7B7rb1fPNHKmLiLbTsUAM8++75wLOQOhjj9nhaJZV0K7DIzMxk3blyb19LT08nNzW33uoiIdBPHsZIk5R9Za7D0PNiwGN6434K9hBQ45asw9jPgaip20FBtfV7dJcBOKzasoE4k5mmChYhIXxbwQdUWqNwK8fFWNPilH8Gu1fZ+0XiYc6OtbAUI+a17RGI6FE+A1ALaL5oQkVh1zIHd0qVLu2EYIiLSTl0ZlG8Eb7nVpdv8X3j9txDwQnwynHIVjDu/VZauyhZVZPWHnOGQ4lYJE5HjjDJ2IiJ9TbDRMnRVmy1oi0+Cl2+BnU1lpgrH2Vy6fgNtO+S3IDApw7J07hI9dhU5TimwExHpS+rLbcVr/X5IzYGty+H1e60IcXwSTL0Sxl3QErg1VNk8u6xB1t81OTOy4xeRiFJgJyLSFwT9ULXNsnRO2ObS/ff/wY6V9n7BaJhzE/Qb3LR/owWBB7J0mSUQd1RdIkUkhiiwExGJNG8lVGyA2n2Qmg3bXoPXfm2rWuMTYfJXYPyFlqVzHMvSBX2QNRByh0NyRqSvQET6CAV2IiKREgpY54jKzda/NSEZ/nc7bH/N3s8/0bJ02UNsO9hoK16TM5WlE5EOKbATEYkEbyVUbLIuEilu2P2WZekaayEuASZ/GSZcZN8fyNIFGqDfIGXpRKRTCuxERHpTKAg1O6Bio2XsEpJh+c9g6wp7P2+UZelyhtn2gSxdihtKJkFmsbJ0ItIpBXYiIr2lodoCuto9kOyGve/Airuh0WOZuZMvhYmXtMrSVVqB4uwhkDNUWToROSwFdiIiPe1Alq5ysy16SEiGV34OW5bb+7kjYM7N9ogVDsrSjVaWTkSOmAI7EZGe5Kux7hGe3ZCSaf1eV/zKXnfFw8lfgklfbJulCzZali53GCSlR/oKRCSKKLATEekJ4RB4dllQF/RCYoo9dt38P3s/Z5hl6fJG2naw0YoSJ7uhZAxkFClLJyJdpsBORKS7+TxQuQlqdtq8uIrNsOKXtrLVFWcZuklfshp1rbN0/YYoSycix0SBnYhIdwmHLUtXsdFagCWkwmv3wsaX7f3sIZalyz/BtpuzdFmWpcssBpcrYsMXkeinwE5EpDs01lldupodkJQGVVvhlV9YNs4VBxMugcmXWr/XNnPphtpj2aS0SF+BiMQABXYiIsciHIba3TaXzl9nc+lW3g8bXrL3+w22unQFo227TZZuLGQWKUsnIt1GgZ2IyNHy19v8uZrtkJAC1dssS+etsCzd+Itg8uVW3kRZOhHpBQrsRES6KhyGur1QvsEWSiSmwpsPwkcv2PtZAy1LVzjWtoM+qC+HlH5QoCydiPQcBXYiIl3h9zbNpdtumTjPLnjlLgvccMH4z8OUKw7K0vmVpRORXqHATkTkSDgO1DZl6RprIDENVj0MHz5n72cNgNk3QtFJth30WfeI1Gxl6USk1yiwExE5HL/X2oFVb4eEJPDsgeV3QX0Z4IJxF8ApV9o8O8exOXahgGXolKUTkV6kwE5EpDOOA3X7LEvXUAXJ6bDqEfjgWXvfXQKzb4Li8bbdOktXOE5ZOhHpdQrsREQ6EmhoWfEal2AB3nN32X8Bxp4Pp1xlCyeUpRORPkKBnYhIa44DdWVQsQG8ldbea+2f4L2n7P3MIptLVzLJtpWlE5E+RIGdiMgBAR9UbYHKrRAfb4WEn78BavfY+2M+A9O+agsnlKUTkT5IgZ2IiONYEFf+UVOWLgPe+jO8+y97P6MQZt8A/SfbtrJ0ItJHKbATkeNbwGd9Xau2WLcIbwW8cCN4dtv7J86DU79uj2SVpRORPk6BnYgcv+r224pXb7mteH3rMVj/BOBAegHMvh4GTLV9laUTkSigwE5Ejj/BRptHV7XFgjNfFbx4M9TstPdPPBdO/YY9km3dPUJZOhHp4xTYicjxpb7csnT1+y1we+ev8M4/sCxdHpx+PQyaZvsGG20/9XgVkSihwE5Ejg9Bf8tcOhzw1cCL34eaHfb+qE/A9GsgObNVlq5RPV5FJKoosBOR2FdfDuUbrQVYUgas+zu88zdwwpCWC7O+B4Om277K0olIFFNgJyKxK+iHqm1QtdmCuEYPvPRDqN5m74/8GJz2TWXpRCRmKLATkdhUX2HdI+rKLHBb9w94+68W4KXmwOnfhSEzbN8DWbrkLChRlk5EopcCOxGJLc1Zui3gBMFfB4t/3DS3DhhxtmXpUrKUpRORmKPATkRih7fSsnS1+yA5A9Y/A6WPNmXpsmHmAhh6uu3bnKVzQ8kYyCxWlk5Eop4COxGJfqEAVG+Hys0QDoC/Hl6+FSo32fvDzoCZ37YFEa2zdP2GQO4w6yohIhIDFNiJSHRrnaVLyYQP/g1r/wxOyB63zrwOhs2xfYON1j0ipSlLl1EEcXERHb6ISHdSYCci0al1li4UhIAXltwGFRvt/aGzLKhLzW7J0gV8kD1EWToRiVkK7EQk+ngrLYCr3Wc9Xj98Dtb+CcJBmzM38zv2+NXlOihLN9rm0ilLJyIxSoGdiESPUACqd9jcuVAQgg3w359A+Uf2/pCZtkAiLceydN5KCDQoSycixw0FdiISHbyVULEJavdYXbqPXoQ1i2yxRHImzPg2DD+rbZYuORNKJilLJyLHDQV2ItK3tcnSBSDkhxdugv0f2PuDToNZ37XWYAeydEEf9BsEucOt7ImIyHFCgZ2I9F0NVdbj9UCWbsNiWPMHC/CSMqzQ8MiPWZYu5LcsXVIGFE+AzBJl6UTkuKPATkT6nlAQanbYAolQwB63vvh9KHvP3h94qmXp0vNtu6EK/F7IGqgsnYgc1xTYiUjfcnCWbtMSWPWwBXiJ6XDatTDqE62ydGUtWTp3f2XpROS4psBORPqGA1m6yk3W79UJwUs/hH3r7f0BU2HW9ZBRYNsN1dZhImsA5I6wIFBE5DinwE5EIq+hqu2K123/gzcfglAjJKbB9KvhhHObsnQBy9Ilpjdl6UogLj7SVyAi0icosBORyGmTpWuEcAhe+hHsfcfe7z8ZZt8AGYW27auGxjrL0uUMt6LDIiLSTIGdiERG6yxdUgZsXwlvPmilShJTYdo3YPS8lixdfRkkpLeaS6csnYjIwRTYiUjvOjhL54Th5Vtgz9v2fsnJMPt6KyoMlqXz1dkj17yRytKJiByCAjsR6T0HZ+l2roKV91uWLiEFpn0dxpwHrjjr+1pXBgmpUDzeHr8qSycickgK7ESk5x2cpQNY8hPYvda+L54As2+0rByAz2Nf7hLIGwEpWZEZt4hIlFFgJyI9q02WLhN2vQYrfwuBBohPhmlfg7GfOShLlwJF46zgcLx+TYmIHCn9xhSRnnFwls7lgv/+P9i12t4vOsmydFkDbNvngUaPza3LHQGp/SI2dBGRaKXATkS638FZut0r4fX7IOCF+CQ45SoYe77NmQsHrcdrQhIUKksnInIs9NtTRLrPwVm6uHhY+lPY8aa9XzjOsnT9Btp2Y611kMgstrl0qdkRG7qISCxQYCci3ePgLN2eN+H1e63tV3wiTL0Sxn2uVZau3DJzheMs0ItPjPQViIhEPQV2ItKpMo+PstrGdq8Hg0F21MG7uz0kuFxQtxc8OyEUIMEFQ9ffTvLuN2zngtEw5yboN9i2/XXgrYLMIptLl5bTi1ckIhLbFNiJSKcefWM79yzZ0Mm7Cfx83cpW2w6fjVvBrYl/JNnlhbhEmPIVGP95iEuwdmH1ZeBKgMKx0G+QsnQiIt1MgZ2IdGr+tEHMHVPY5jVfIMTnfvc6AI+fk0BGQpAEl0PJO/fi3muvB3JOIPGsmyF7iB3krwdvJWQUQN4oZelERHqIAjsR6VSBO4UCd0qb17w15c3fj85PIqv8HXj111aqJC4BJl9O4oQvtMrS7bcadfmjIXuwrX4VEZEeEdeVne+//37Gjx+P2+3G7XYzffp0nn/++Z4am4j0JaEAVGyGXdYtIo8a0lb+HP77fxbU5Y2C8x+ESV+0oM7vBc9uSOkH/SdD/kgFdSIiPaxLGbsBAwZwxx13MHLkSBzH4Y9//COf/vSneeuttxg7dmxPjVFEIs1b2bLiNSGLM11vcFHC/yjftoXiuHiYfBlMvMQCOicM9eXgOJB/YlOWLjnSVyAiclzoUmA3b968Nts//elPuf/++1m5cqUCO5FYFApAdVNdulAAElN56j//Zqkzi/8GTiaOMAunBbjo5KG2f8AL9RWQlgd5IyEjP7LjFxE5zhz1HLtQKMQ//vEP6uvrmT59eqf7NTY20tjYUi7B4/EAEAgECAQCR/vxh3Xg3D35GdJ9dL/6oIYqqNwCtXshtR+usvWUrVjEDz3/R7hpFkeYOG5+M5npJzRS7Kq2bF2/YZA91B676n5GnH62oovuV/TozXvVlc9wOY7jdOXk69atY/r06fh8PjIyMnjsscf45Cc/2en+t956K7fddlu71x977DHS0tK68tEiEgFJwVpO2vEnBlS/wWuhMVwS+GG7fa4dE2JkVpd+lYiIyBHyer1ccskl1NTU4Ha7D7lvlwM7v9/P9u3bqamp4Z///CcPP/wwy5YtY8yYMR3u31HGbuDAgZSXlx92cMciEAiwePFi5s6dS2KiamX1dbpffURDFVRuhtp9lqXb8xbxr96Ny1eF44pj14lfYVbpmYRb/daIc8HSy0soHjgSEjWXrq/Rz1Z00f2KHr15rzweD3l5eUcU2HX5UWxSUhIjRowAYPLkyaxatYp77rmHBx54oMP9k5OTSU5u/8s+MTGxV/7S9tbnSPfQ/YqQUACqt1tQFwpCagas/DVsfNnezx6Ca85NDMg/kduy6vjRUptSEeeChZ8czKBRY8Hlitz45bD0sxVddL+iR2/cq66c/5jr2IXD4TYZORGJMt5KqNjQnKVj/4fwyi+godLqz0242Fa9xieB43DBYB8/ajr0hW9MYdSgwkOdXUREelGXArubb76Zc845h0GDBlFbW8tjjz3G0qVLefHFF3tqfCLSU4J+qNnRkqVLzoDXfgMbXrL3+w2COTdbr1eAYKMVG45zA34ACnN7bjqFiIh0XZcCu7KyMi699FL27NlDVlYW48eP58UXX2Tu3Lk9NT4R6Qmts3Rp2VCxDpb/ArzllqUbfxFMvtzqzzmOzb0LNEC/IZA5GHglwhcgIiId6VJg9/vf/76nxiEivSHoh6ptULUFnCAku+G1++Cjpg4yWQNhzk1QaHUpyzw+yvaXQ3I6ZJ0AwTx85cHm072/p5aMVH+7jynITG7XikxERHqeesWKHC/qKyxLV1dmWbp978Hyu+zxKi4Y/3mYckVLl4iGKh59q4F73o4DGoCPmr5afOHhVR1+1LfPGsl1c0f15NWIiEgHFNiJxLo2WboQpGTByvvhg//Y++7+lqUrOsm2QwEL/pLSmX/6aObOzIa4tm2lg8EgK1asYObMmSQktP81UpCpsiciIpGgwE4kltWXQ/lGqC+DtBwoex+W/cy2ccG48+GUqyCh6bGprxoa6yBrAOSOoCA5k4IOThsIBNiWAWNL3CrJICLShyiwE4lFwcZWWbowpPSDN34H7z9r72eWwJwboXiCbYeDULcPEtLsNXd/iIuP2PBFROToKLATiTX15VC+webOpeVYXbpld1rgBjD2s3DKVyEx1bZ9Hvtyl0DeCHtUKyIiUUmBnUisCDZC5VbL0rmA1Gx48yF47yl7P7MIZt8IJZNsOxy0uXQJyVA0zlbExutXgohINNNvcZFo5ziWpavY2JSly4XyjyxLV7vH9hnzaZj2NUhMs+3GWmiotixd7nALAkVEJOopsBOJZgEfVG1tytLF2aPX1b+H9U/Y+xmFMOt6GDDFtsNBqCu3zFzhOOsuoSydiEjM0G90kWjkOJadK99o3SLSc+37ZXeAZ7ftc+I8OPXrkJRu2/468FZBZiHkjrQgUEREYooCO5FoE/BZhq5qq2Xp0nNh9SOw7p+AA+n5MPsGGDDV9g+HLAh0xUP+aMgZAvEqUSIiEosU2IlEC8exxQ4VG6zXa3ouVGyG/yyAmp22zwmfhOlXQ1KGbfu94K2A9ALIG2nHiIhIzFJgJxINAg1QucVq08XFQXoerFkE7/wdcCAtz+bSDZpm+zthW1DhOJB/ImQPgYSkCF6AiIj0BgV2In2Z41j9ufIN0FBlAV3VFvjPd6Fmh+0z6hMw/RpIzrTtgNf6wqblWZYuIz9y4xcRkV6lwE6kr/J7LUtXs926QKQXwNpF8M7fLCOXlgunfxcGn2b7O44tpAiFLKDLHgqJKRG9BBER6V0K7ET6GseB2r1Wl66hyjJulVvhuettwQTAiLlw2jchxW3bQR/U7bd6dEWjIKMAXK5IXYGIiESIAjuRvsTvhcrNUL3dVq5mFMDaP8Pbj1mWLjXbsnRDZtr+jgMNlRD0Q85wyB3W0ipMRESOOwrsRPqCcBjq9lotusYaK1lSva0pS7fF9hl+Fsz4Vksv12CjlTFJzoKSsdYyTFk6EZHjmgI7kUjz11vZkprt1rc1vQBK/wJv/cWydCn94PQFMHSW7e849og20AD9hliW7kARYhEROa4psBOJlHDYerlWbASfx+bSVW+H526Ayk22z7AzYMa3IbWfbYf8NpcuKQNKJkFmsZU/ERERQYGdSGQ01kHFJitZkphibb5KH7X5dE7IHrfOvA6GzWk5pqHasntZAyF3OCRnRGr0IiLSRymwE+lN4TDU7ra5dP46q0tXsxOev8k6SoA9cp15nS2UAAgFoL4MEtKheAK4+ytLJyIiHVJgJ9JbGmttLp1np61czSiEt/8Ka/8I4SAku+2x6/AzWxZB+GrAVwvuEqtNd6C8iYiISAcU2In0tHAIPLttLp2/zkqY1OyE52+E8o9sn8EzbIFEWlMv13DQ+sImpEDROOg3yIoUi4iIHIICO5Ge5PPYQoianbbgIbMI3v6b9XkNB6wN2GnfghFnt2TpGmttPp27BHJHtCycEBEROQwFdiI9IRwCzy6bSxf02mNXz2544SbY/4HtM2g6zPpeqyxdyFa8xidAYVOWLl4/oiIicuT0r4ZId/PVWEBXuweS0yGjCNb9A1b/3hZCJKVblm7kx1qydP568Fba6tjckZCWE9lrEBGRqKTATqS7hIJWvqRys/VuzSiw4O6F70PZe7bPwGmWpUvPt+1wCLzlgAvyR0P2YEhIitgliIhIdFNgJ9IdGqqsLp1nD6Rk2qPX9U/AqoetqHBiOky/Bk44pyVLF/BCfYUFeXkjrfSJiIjIMVBgJ3IsmrN0m6x3q7sIavfCiz+AfettnwFTYdb1lsEDaxNWX27/zRsFOUOtlZiIiMgxUmAncrS8lZalq91jnSIys2H9v+DNhyDUCIlpMP1qOOHclixd0GcLJNJyLKhLz295T0RE5BgpsBPpqlAAqpuydKEAuIuhbh8s/hHsedv26X8yzLrBypsAOA54K2z/nOGQO8yKFIuIiHQjBXYiXeGttNZftfusvlxaDrz7FLz5oGXjElLg1G/A6PNaZekaoX4/pPSzMiaZRcrSiYhIj1BgJ3Ikgn6o2gZVW8AJNWXp9sNLP4I9pbZPySTL0rmLbdtxbFFFoAH6DYHc4ZCUFqkrEBGR44ACO5HDqS+3unT1ZZCWbXPn3n8WVt7fkqWb9jUY82lwxdkxIb8FfkkZFvBlFkNcXGSvQ0REYp4CO5HOBBtbZenC1uKrfj8s/jHsWmv7FE+A2TeAu3/LcQ3VVnA4a6Bl6ZIzIjJ8ERE5/iiwEzmY41iWrmKjBXJpOZal++A/sPI+e7QanwzTvgpjP9uSpQsHbRFFQjoUj7dgLy4+stciIiLHFQV2Iq0FfFC11bJ0rjjI6m9B3su3ws5Vtk/hOJhzE2QNaDnO57EvdwnkjbDyJyIiIr1MgZ0IWJaursxWvHorIT0XElLhw+fg9d9CoB7ik2DqVTDu/JZMXDhoc+kSkqBonD1+jdePlYiIRIb+BRIJNEDlFptPF3dQlm7Hm7ZP4ViYfSP0G9RyXGOtzafLLLYsXWp2JEYvIiLSTIGdHL8cx+bElW+wsiTpebbCdcOL8NpvbAFEfCJMuQJO+nyrLF3IVsi6Eizg6zfI9hMREYkwBXZyfPJ7oXIzVG+3oCxrgHWGWHIbbF9p++SPtrl02YPbHuetsL6vuSPtka2IiEgfocBOji/hMNTttbp0vmrIyLcVrhsXw6u/Bn8dxCXClC/D+AshrulHxAnb41nHgfwTIXuIzasTERHpQxTYyfHDXw8Vm6FmOyQkW5auoRJe+X+w7VXbJ28UzLkZcoa2HBdosKAuLQ/yRlowKCIi0gcpsJPYFw5D7R6rS+fzNGXpkmDTf+HVe6DRY5m5yZfDhC+0ytI59tg1FLCALnsoJKZE9FJEREQORYGdxLbGWsvSeXbawois/vYI9r8/ha3LbZ/ckXDGzZAzrOW4YKMVJ07pB0UnQUYhuFyRuAIREZEjpsBOYlM4BJ7dlqXz1zeteE2GTf+DV+8GXw244uHkS2HS/LZZuoZKK1ScPdSCvaS0iF6KiIjIkVJgJ7HH54HKTVCzy4KyrP5Wb27pQti81PbJHQ6zb7JHrAeE/FZsODkTSkZbFwll6UREJIoosJPYEQ5BzU6o2ARBb8tcus3LYMWv7BGsKw4mfQkmfbFt7bmGasvsZQ20oC85I1JXISIictQU2ElsaKi2gM6zG1IywN3fHrcuvcMWSYA9Vp1zk618PSAUsGLDCelQPMGOi4uLyCWIiIgcKwV2Et1CQajZYcWGAw2QWWiZuK0r4JVfWEcJVxxMvMTm08W3qj3n89iXu8Qeyaa4I3cdIiIi3UCBnUSvhirL0tXugWR304pXDyy7Eza+bPtkD7G5dAUnthwXDtpcuoQkKBpnj1/j9aMgIiLRT/+aSfQJBaB6hy2QCAUgs8hWtW57DZb/3Fa1uuKsJt3Jl9lq2AP8deCttmPyRkBqdsQuQ0REpLspsJPo4q2Eig1QWwapWVbGpLEWXr8XPnrR9uk3yObSFYxpOS4csrp0rngoHGP7tF48ISIiEgMU2El0CPqhahtUbQEnBO6mLN32lZal85YDLhh/kfV5bZOl81oHifQCm0uXnhuxyxAREelJCuyk76svh/KNtno1LRuSMuyR6mv3wUfP2z5ZA2H2jTZn7gAnbMc6Ycg7AXKGtA34REREYowCO+m7go2WpavcDDi2ejUuHna8CcvvskeruOCkz8PUK9oGbUGfLZBIy7HyJhkFkboKERGRXqPATvoex7GgrXyjPWJNy7UOEv56WHk/fPBv28/dH+bcCEXj2x7rrbBFFTnDrdhwYkpkrkNERKSXKbCTXlXm8VFW29ju9WAwyI46eHd7OQnefVZo2BUHqQXgd9Hf8ybZb/4C6vbZAeMugFOugoRWQVuw0QLC5CwoHGcrX9USTEREjiMK7KRXPfrGdu5ZsqGTdxP4+bq1rbZDpLOTmxMeY1zCEnspswRm3wAlE9se6q20AsX9hkDuMEhK7/7Bi4iI9HEK7KRXzZ82iLljCtu85vPW87nfvwXA4+fEkeHOBpeL9P2l9H/rFyR5m7J0Yz4D074KiWktB4cCUFdmCypKJlrgp5ZgIiJynOpSYLdw4UL+9a9/8cEHH5Camsppp53GnXfeyQknnNBT45MYU+BOocDd9Pg0HIa6fXjrNza/P3pgHlnxfnjjQXjvKXsxs8hWvJZMansyXzU01kHWAMgdAcmZvXINIiIifVWXUhvLli3jmmuuYeXKlSxevJhAIMDHPvYx6uvre2p8Eqv89bDvXdi9FkItc+7i970D/7yyJagbfR5c8Ie2QV04CDW7LDAsGm9fCupERES6lrF74YUX2mwvWrSIgoIC1qxZw6xZs7p1YBKjwmHr7Vqx0fq6ZuSDk0gKW7kwbhm1LzxLhqsSMgph1vUwYErb4xtrwVcDmcWWpUvtF5HLEBER6YuOaY5dTU0NADk5Od0yGIlxjbVQsRk8O201a1Z/cLn414oP8ZPOn8If5y+Nc1k48E0uOvfjbRdAhENWly4+AQrGNrUE0xRRERGR1o76X8ZwOMx3vvMdZsyYwbhx4zrdr7GxkcbGlkdtHo8HgEAgQCAQONqPP6wD5+7Jz5AjFA5B7V4rNOyvh4w8iE8Cv499rz3Gj9d9nHDTrIAwcdy881SmNyRRHB+24/310FBt2b2c4ZCaDWEHwrq3kaKfr+ihexVddL+iR2/eq658hstxHOdoPuQb3/gGzz//PCtWrGDAgAGd7nfrrbdy2223tXv9scceIy0trYMj5HiQXb+Bk7c9xDveHC4J/LDd+9eOCTEy66j+aoqIiMQUr9fLJZdcQk1NDW63+5D7HlVgd+211/L000+zfPlyhg4desh9O8rYDRw4kPLy8sMO7lgEAgEWL17M3LlzSUxM7LHPkU6EglC7Gyq3QtAL6fkQnwjBRuLWPkLc+n/icsLsThnOzOqfEKalkHCcC5ZenEmxq8q6TuQOh/S8yF2LtKOfr+ihexVddL+iR2/eK4/HQ15e3hEFdl16FOs4Dt/85jd58sknWbp06WGDOoDk5GSSk9s3Xk9MTOyVv7S99TnSSkNV01y63ZCSCZlNGd2y92DpHVC93bZHfpyS067ltg9d/GipPaKPc8HCGfEMSqqDnFGQPVQtwfow/XxFD92r6KL7FT1641515fxdCuyuueYaHnvsMZ5++mkyMzPZu3cvAFlZWaSmpnZtlBJ7QgGo2QmVm6y9l7sI4hIg5Ic1i+Dtx8EJQ2oOzPoeDD4NgAtGh5sDuxc+FWRUiRvyRtrKWLUEExEROWJdCuzuv/9+AObMmdPm9UceeYTLL7+8u8Yk0chbCRWbrJRJaj97hApQ9gEsuwOqttr2iLlw2jchpVUqudVsgMKSwdB/FCRp/qWIiEhXdflRrEgbQT/U7LAVr6EguItbsnRr/wSljzVl6bLh9AUw5PS2x4f84NkPB+bY5SmoExEROVoqBCZHr77cCg3XlUFaNqRn2OvlH8H/FkLVFtsefibM+Bak9KOsPkRZfche99eBvwFfSj5QDsD7++rI8LRf1l2QmdzSikxEREQ6pMBOui7YCFXbLHBzwuAugbh4m2P31l/grT/b6yn9YOZ1MGx286GPrqvnnjfrWp3MxYGgDuALD6/q8CO/fdZIrps7qmeuR0REJEYosJMj5zgtWbr6/ZCW09IdomIjLF1o8+wAhs2BGd9p1/Jr/iiHuQVhSMuHfgMh2bJ8wWCQFStWMHPmTBIS2v+1LMhsv7JaRERE2lJgJ0cm4LMMXdVWcMU1tQOLg3AQ3nrU5tM5IUh2W5Zu+Bltjw8Hoa6cguQECsaMg6yBbVqCBQIBtmXA2BK3lviLiIgcJQV2cmiOA3X7LCPnrYT0XEhsWtxQudnm0lVssO0hp1tQl3ZQ72B/vR2bWQi5I9u/LyIiIt1CgZ10zu+Fyi1Qs93m0LXO0pX+Fdb+0b5PdsOMb9siidZ155ywPbLFBfmjIXswJCRF7HJERERinQI7aS8chrq9Nl+uoQoy8iGhaUVq5RarS7f/Q9sePMPKmByoW3dAoMHm46XnW7FhtQQTERHpcQrspC1/vbUDq9kOCcmQNcCycOEgvPN3WP0IhAOQlGElTEbMPShL54C3HEIhC+jUEkxERKTXKLATEw5D7W4o3wiNtU1ZuqaVqFXbrMfr/vdte9B0OP277bNwwUaraZeaDUVqCSYiItLbFNiJBXIVm8Gz0x65ZvVvytKFYN0/YPXvrUZdUrq1Axv58fZZuoYqe/yaM8y+1D1CRESk1ymwO56FQ+DZBeWbIFBvWbr4psUN1dth2Z2w713bHjgNZn3P5sy1FvJD3X57NFsyCTKLIS6ud69DREREAAV2xy9fjT12rd1jmbis/vZ6OATr/wWrHrKgLTEdpl8DJ5zT/rGqrxoa620eXu6I5mLDIiIiEhkK7I43oSDU7LAadEEfZBRAfFNB4JqdNpdu33rb7j8FZl9vc+VaCwdtLl1CKhSPB3d/K4ciIiIiEaXA7njSUGUlTDx7ICXTeryC1Zt790l440EINUJiKpx6NZz4qfZZusZay/ZllkDeCEjJ6v3rEBERkQ4psDsehAJQvQMqN9n37iKIa7r1nt02l27P27bd/2SYdQNkFrU9Rzhkc+niE6CwfUswERERiTz9yxzr6iugciPUlkFqVkuJEicM7z0Nbzxgj2QTUuDUb8Do89pn6dQSTEREJCoosItVQb/Vn6vaAk6wbZaudg8s+xnsfsu2iyfC7BvBXdz2HGoJJiIiElUU2MWiuv1QsdGCsrQcW/UKVm/u/Wfgjd9ZzbmEFDjlqzD2M9YDtrUDLcHS8qyDREZ+u48RERGRvkWBXSwJ+KBqq325sMURB1ar1u6F5XfBrjW2XTQe5txoK1pbcxzwVthcPLUEExERiSoK7GKB41j5kYoNNhcuPRcS01re++A/sPK3EPBCfDKcchWMO799li7YaFm+lH5QdJJagomIiEQZBXbRLtBg7cCqt1vHh6z+LQFbXZll6Xausu3CcTDnJisofDBvpZ2r3xDIHa6WYCIiIlFIgV20chx7vFqx0erTpedZ/bkD7334PLx+n7UKi0+CqVfCuAvaFxIOBSwAVEswERGRqKfALhr56y1LV7PdgrasAS2PTOv3w/Kfw443bLtgjGXp+g1qfx5fDTTWWZYvdwQkZ/beNYiIiEi3U2AXTcJhK1VSsdGCsowCSEi29xwHNrwIr/3GAr/4RJhyBZz0+fZZuuaWYCk2ly5rgFqCiYiIxAAFdtGisdaydJ6dFpC1ydKVwyu/gO2v23b+iTDnZqs719F5GqptxWzuCEjt11tXICIiIj1MgV1fFw6BZ5f1ePXXWZYuvqlIsOPAxpfhtV9bwBaXCFMuh/EXtRQjbn2e+v32euE4ezSrlmAiIiIxRf+y92W+GijfCLW7bXFD69Ws3gp45Zew7VXbzhtlc+lyhrU/j99r+2cU2H5qCSYiIhKTFNj1RaEg1OyAys0QbLB6cvGJ9p7jwKb/wqv3QKPHMnAnXwYTL26fpXPC9pjWcezxbPYQtQQTERGJYQrs+pqGKnvs6tkDKZltO0M0VMErv4Kty207d4TNpcsd3v48QZ+1FkvLsSxdRkHvjF9EREQiRoFdXxEKQPUOqNxk37uL2mbgNi+FFb+yx7OueDj5Upg0v4MsnQMNlRD0Q85wC/rUEkxEROS4oMCuL6ivgMqNUFsGqVlWbPgAXzWsuAc2/8+2c4bbXLq8ke3PE2y0LF1KFpSMhcwitQQTERE5jiiwi6RgI1Rth6ot4ATbZ+m2LLcsXUOVtQmb9EWY9KWW+XatNVRZS7DswU0twdJ77zpERESkT1BgFyl1+63QcH3TPLjWgZivBl79NWxaYtvZQy1Ll39C+/OEAlBfBonpUDTe5uSpJZiIiMhxSYFdbwv4oGqrZelcLisU3Lrrw9YVVmz4QJZuwiUw+dKW2nWt+Tz25S6xR7Mp7l67DBEREel7FNj1FsexNl4VG8BbCem5kJjW8r7PY+3ANi627ewhMPsmKDix/bnCQcv4JSRBUVOxYbUEExEROe4psOsNfi9UboHqbdbtIau/ZeMO2PaaZem8Ffb6+Itg8uUtfWDbnKsOvFWQWQx5IyA1u9cuQ0RERPo2BXY9KRyGur1Wl66hCjLyrc/rAY218Pq98NGLtp010ObSFY5tfy4nbBk/VzwUjLFFEh0tohAREZHjlgK7ntJYZ1m6mu2Wecsa0Lb0yPY34JW7rDMELhh/IUz5SsdZuoDXSqKk59tcutblUERERESaKLDrbuGw9XYt32gZuYz8tsGavw5e/y18+JxtZw2wuXRF49qfy3HAWw6hkHWPyBnaceAnIiIiggK77uXzWOcIz2575JrVv22WbucqWPYzK3GCC076HEy9ou3j2QOCjfboNTUbippagqnYsIiIiByCArvuEA6BZxeUb4JAvWXpWpcn8dfDyvvhg3/btrvEsnTF49ufq7klWCPkDGtqCZbaO9chIiIiUU2B3bFqqLbFEbV7IDndsnSt7VwNy++Cun22Pe4CmHplx8FayG9lTJIyoHi0BYDK0omIiMgRUmB3tEJBqNlhj14DPntU2nqVasALbzwA7z1t25nFMPsGKJnU8fl81bbgImsg5I6A5IwevwQRERGJLQrsjoa30rJ0dXsh2Q1ZuW3f3/0WLLsTavfa9pjPwLSvti1IfEA4CLX77L3iCU0twVRsWERERLpOgV1XBP1NWbrNlrHLLIK4Vn+EgQZ480F490nbziiE2TdC/5M7Pl9jrfWFzSy2LF1qvx6/BBEREYldCuyOVH05VGxsWqnar30tuT1vw9I7rdQJwOh5MO0bkNRRli5kK2PjEqBgrLUEi9etEBERkWOjaOJwgo1QtQ2qtlj3B3dJ20elQR+8+RCs/xfgQHqBzaUbMKXj8/m91joso8Bq06Xl9MpliIiISOxTYNcZx7GsWvlGKxKclts++7b3HcvSeXbZ9onnwqlXQ1J6B+cLW9bPcSD/RMgeAglJ7fcTEREROUoK7DoSaICqrVC5FeLimgoNx7W8H2yEVb+Hdf/AsnR5MOt6GDit4/MFfVbGJC0H8k6wOnciIiIi3UyBXWuOYytZKzZCQ5UFbAfXm9v3Liy9wxZRAIw6B6ZfDcmZHZ+vodIWXeQMbyo23EGXCREREZFuEPWBXZnHR1ltY7vXg8EgO+rg3d0eEhLaX2ZBZjIF7lZBlr8eKrdA9XarR5c1oG1x4GAjrH4E1v3dHqum5cGs78GgUzseWLDRsnQpWVAy1lbQqtiwiIiI9KCoD+wefWM79yzZ0Mm7Cfx83coO3/n2WSO5bu4oCIeta0TFRmj0QHo+JCS33bnsfVi60II+gJEfh9Ou7ThLB5btCzTYate8ER3PuRMRERHpZlEf2M2fNoi5YwrbvOYLhPjc714H4PErp5KRmtzuuILMZKsjV7EZPDstmHP3b5tVC/lhzSJ4+3HL0qXmwOnfhSEzOh5MKAD1ZZCQDkXjm4oNx3W8r4iIiEg3i/rArsCd0vaRKuD1B5u/H12cSVb6QfPkwiHw7IadG+0RbHpe+yzd/g9sLl3VVtsecTac9k17tNoRn8e+3CWQNxJS3Md4ZSIiIiJdE/WBXZf5aqwdmGcXJGXYitfWQgFY+ycofbQpS5cNMxfA0NM7Pl84aHPpEpKgaJz1elWxYREREYmA4ycCCQVb2oEFG6zdV3xi233KP7IsXeVm2x5+Jsz4FqT06/ic/nrrG5tZZC3BVGxYREREIuj4COwaqpqydHsgJdPmvrUWCsBbf7EvJ2SPW2deB8PmdHw+J2zFi3FB/mjIGdI+SBQRERHpZbEf2FVth4btFry5i6w/a2sVGy1LV7HRtofOhpnfsUewHQk0WAeJ9HybS3dwz1gRERGRCIn9wG7/e9Avt30AFg5C6WOw5o+WpUt2W5Zu+Bkdn8dxrMdrKGABXc6w9gsuRERERCIo9gM7V0L7enOVmy1LV/6RbQ853YK6zubIBRvt0WtKPyg6yebnqdiwiIiI9DGxH9jRKgALB60m3ZpF9n1yJsz4Ngw/q/NAzVvZVGx4iLUES0rrjUGLiIiIdFmXq+cuX76cefPmUVJSgsvl4qmnnuqBYfWAqq3w9DWw6mEL6gadBp9fZPXpOgrqQgGo2QWueCiZBIVjFdSJiIhIn9bljF19fT0TJkzgK1/5Cueff35PjKl7hUM2l271IxAOWO26074FI+d2nqXz1UBjndW4yx3ReeswERERkT6ky4HdOeecwznnnNMTY+l2JezHs3QRWZ637IVBp8Lp3+t8JWs4CHVlkJDSUmw4Lr73BiwiIiJyDGJyjt0Ta3biwmE3+cwu+y4Lk//MRXMmwqhPdJ6la6yFhmprCZY7AlL79eKIRURERI5djwd2jY2NNDY2Nm97PB4AAoEAgUCg2z9vT42PW555F6dp0USYOG72X8b0onyKww7gtD0gHLK6dK54yD0RsgZYseEeGJt07sDfhZ74OyHdT/creuheRRfdr+jRm/eqK5/hchzHOfxunRzscvHkk0/ymc98ptN9br31Vm677bZ2rz/22GOkpXX/YoQNNS7ufa/949Nrx4QYmXXUlyoiIiISEV6vl0suuYSamhrcbvch9+3xwK6jjN3AgQMpLy8/7OCOxp4aH3N+sZxwq6uKc8HSS/MpzmgK+BzHsnROGPoNhuwhkJDU7WORIxcIBFi8eDFz584lMVHt2fo63a/ooXsVXXS/okdv3iuPx0NeXt4RBXY9/ig2OTmZ5OT2HRoSExN75A9iUF4it503lh89/S4AcS6HhWf2Y1BW02cFG22BRGo25I2CjAIVG+5DeurvhfQM3a/ooXsVXXS/okdv3KuunL/LgV1dXR0bN25s3t6yZQulpaXk5OQwaNCgrp6uR1wweUBzYPfCPBg1JN2ydA2VFtjlDLNiw4mpER6piIiISPfpcmC3evVqzjijpZ/qggULALjssstYtGhRtw2suxSmASE/1O23enQlYyCzWFk6ERERiTldDuzmzJnDMUzL632BOqhzIGuQZemSMyI9IhEREZEeEZN17NpIzYPiUeDur2LDIiIiEtNiP7DrPxH6ddJpQkRERCSGxEV6AD0uKT3SIxARERHpFbEf2ImIiIgcJxTYiYiIiMQIBXYiIiIiMUKBnYiIiEiMiPpVsWUeH2W1jW1e8wVCzd+/v6eWjFR/u+MKMpMpcKf0+PhEREREekvUB3aPvrGde5Zs6PT9Lzy8qsPXv33WSK6bO6qnhiUiIiLS66I+sJs/bRBzxxS2ez0YDLJixQpmzpxJQkL7yyzITO6N4YmIiIj0mqgP7ArcKR0+Ug0EAmzLgLElbhITEyMwMhEREZHepcUTIiIiIjFCgZ2IiIhIjFBgJyIiIhIjFNiJiIiIxAgFdiIiIiIxQoGdiIiISIxQYCciIiISIxTYiYiIiMQIBXYiIiIiMUKBnYiIiEiMUGAnIiIiEiMU2ImIiIjECAV2IiIiIjFCgZ2IiIhIjFBgJyIiIhIjEnr7Ax3HAcDj8fTo5wQCAbxeLx6Ph8TExB79LDl2ul/RRfcreuheRRfdr+jRm/fqQMx0IIY6lF4P7GprawEYOHBgb3+0iIiISNSqra0lKyvrkPu4nCMJ/7pROBxm9+7dZGZm4nK5euxzPB4PAwcOZMeOHbjd7h77HOkeul/RRfcreuheRRfdr+jRm/fKcRxqa2spKSkhLu7Qs+h6PWMXFxfHgAEDeu3z3G63fjiiiO5XdNH9ih66V9FF9yt69Na9Olym7gAtnhARERGJEQrsRERERGJEzAZ2ycnJ3HLLLSQnJ0d6KHIEdL+ii+5X9NC9ii66X9Gjr96rXl88ISIiIiI9I2YzdiIiIiLHGwV2IiIiIjFCgZ2IiIhIjFBgJyIiIhIjYjawu++++xgyZAgpKSlMmzaNN998M9JDkg4sX76cefPmUVJSgsvl4qmnnor0kKQTCxcuZOrUqWRmZlJQUMBnPvMZPvzww0gPSzpx//33M378+ObiqdOnT+f555+P9LDkCNxxxx24XC6+853vRHoo0oFbb70Vl8vV5uvEE0+M9LCaxWRg97e//Y0FCxZwyy23sHbtWiZMmMDHP/5xysrKIj00OUh9fT0TJkzgvvvui/RQ5DCWLVvGNddcw8qVK1m8eDGBQICPfexj1NfXR3po0oEBAwZwxx13sGbNGlavXs2ZZ57Jpz/9ad59991ID00OYdWqVTzwwAOMHz8+0kORQxg7dix79uxp/lqxYkWkh9QsJsudTJs2jalTp3LvvfcC1p924MCBfPOb3+Smm26K8OikMy6XiyeffJLPfOYzkR6KHIH9+/dTUFDAsmXLmDVrVqSHI0cgJyeHu+66iyuuuCLSQ5EO1NXVcfLJJ/Pb3/6W//u//2PixIncfffdkR6WHOTWW2/lqaeeorS0NNJD6VDMZez8fj9r1qzh7LPPbn4tLi6Os88+m9dffz2CIxOJLTU1NYAFC9K3hUIhHn/8cerr65k+fXqkhyOduOaaazj33HPb/PslfdOGDRsoKSlh2LBhzJ8/n+3bt0d6SM0SIj2A7lZeXk4oFKKwsLDN64WFhXzwwQcRGpVIbAmHw3znO99hxowZjBs3LtLDkU6sW7eO6dOn4/P5yMjI4Mknn2TMmDGRHpZ04PHHH2ft2rWsWrUq0kORw5g2bRqLFi3ihBNOYM+ePdx2222cfvrprF+/nszMzEgPL/YCOxHpeddccw3r16/vU/NKpL0TTjiB0tJSampq+Oc//8lll13GsmXLFNz1MTt27ODb3/42ixcvJiUlJdLDkcM455xzmr8fP34806ZNY/Dgwfz973/vE9McYi6wy8vLIz4+nn379rV5fd++fRQVFUVoVCKx49prr+Xf//43y5cvZ8CAAZEejhxCUlISI0aMAGDy5MmsWrWKe+65hwceeCDCI5PW1qxZQ1lZGSeffHLza6FQiOXLl3PvvffS2NhIfHx8BEcoh9KvXz9GjRrFxo0bIz0UIAbn2CUlJTF58mSWLFnS/Fo4HGbJkiWaWyJyDBzH4dprr+XJJ5/kv//9L0OHDo30kKSLwuEwjY2NkR6GHOSss85i3bp1lJaWNn9NmTKF+fPnU1paqqCuj6urq2PTpk0UFxdHeihADGbsABYsWMBll13GlClTOOWUU7j77rupr6/ny1/+cqSHJgepq6tr8385W7ZsobS0lJycHAYNGhTBkcnBrrnmGh577DGefvppMjMz2bt3LwBZWVmkpqZGeHRysJtvvplzzjmHQYMGUVtby2OPPcbSpUt58cUXIz00OUhmZma7uarp6enk5uZqDmsf9L3vfY958+YxePBgdu/ezS233EJ8fDwXX3xxpIcGxGhgd9FFF7F//35+/OMfs3fvXiZOnMgLL7zQbkGFRN7q1as544wzmrcXLFgAwGWXXcaiRYsiNCrpyP333w/AnDlz2rz+yCOPcPnll/f+gOSQysrKuPTSS9mzZw9ZWVmMHz+eF198kblz50Z6aCJRbefOnVx88cVUVFSQn5/PzJkzWblyJfn5+ZEeGhCjdexEREREjkcxN8dORERE5HilwE5EREQkRiiwExEREYkRCuxEREREYoQCOxEREZEYocBOREREJEYosBMRERGJEQrsRERERGKEAjsRERGRGKHATkRERCRGKLATERERiREK7ERERERixP8H9HdzPxXMxpgAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ff = plot.fit(xdata, y, fmt='.', function=f.line, params=[1,1], sigmas=1,lpos=2,fitter=fit.Fitter.MINUIT_LEASTSQUARES)\n", "print(\"Chi2 = \",fit.Chi2(xdata,y,f.line,ff))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi2 = 14.50460743573666\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ff = plot.fit(xdata, y, fmt='.', function=f.line, params=[1,1], sigmas=1,lpos=2,fitter=fit.Fitter.SCIPY_ODR)\n", "print(\"Chi2 = \",fit.Chi2(xdata,y,f.line,ff))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 4 }