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April 12, 2024 09:01
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "6c9090ce-799b-439d-a432-7e78602b7ac7", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import ROOT as r\n", | |
"from scipy.interpolate import interp1d\n", | |
"import scipy.stats\n", | |
"import numpy as np\n", | |
"import hist\n", | |
"import mplhep as hep\n", | |
"import matplotlib.pyplot as plt\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "4e10dac4-6cfa-4237-b303-44137e6117b8", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "eb165c6a-6eaf-44ec-b100-9d394b3e00f3", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def moment_morph(hists, params, param_interp, components=False, vertical_only=False):\n", | |
" '''\n", | |
" Pythonic implementation of Moment morphing for `hist` histograms (incl variances): \n", | |
" - http://cds.cern.ch/record/1958015/files/arXiv:1410.7388.pdf \n", | |
" - https://arxiv.org/abs/1410.7388\n", | |
"\n", | |
" Args:\n", | |
" hists: a list of `hist.Hist` objects\n", | |
" params: a list of characteristic parameters that are being interpolated for eg. resonance mass [50, 200]\n", | |
" param_interp: parameter value to interpolate to eg. 125\n", | |
" components: for debug, return interpolation components per each input template\n", | |
" vertical_only: for debug, only runs vertical interpolation, won't shift template\n", | |
" '''\n", | |
" dists_nom = [scipy.stats.rv_histogram((h.values(), h.axes[0].edges), density=True) for h in hists]\n", | |
" dists_var = [scipy.stats.rv_histogram((h.variances(), h.axes[0].edges), density=True) for h in hists]\n", | |
" out_nom = []\n", | |
" out_var = []\n", | |
" # do twice - for nominals and variances \n", | |
" for dists, out in zip([dists_nom, dists_var], [out_nom, out_var]):\n", | |
" n = len(params)\n", | |
" M = np.empty((n,n))\n", | |
" for i in range(0, n):\n", | |
" for j in range(0, n):\n", | |
" elem = (params[i]-params[0])**j\n", | |
" M[i, j] = elem\n", | |
" Minv = np.linalg.inv(M)\n", | |
" # Minv = abs(Minv)\n", | |
" cis = []\n", | |
" for i in range(0, n):\n", | |
" ci = 0\n", | |
" for j in range(0, n):\n", | |
" ci += (param_interp - params[0])**j * Minv[j, i]\n", | |
" cis.append(ci)\n", | |
" \n", | |
" means = [dist.moment(1) for dist in dists]\n", | |
" sigs = [np.sqrt(dist.stats(moments='v')/2) for dist in dists]\n", | |
" mup = np.sum([c * mu for c, mu in zip(cis, means)])\n", | |
" sigp = np.sum([c * sig for c, sig in zip(cis, sigs)])\n", | |
" \n", | |
" xps, slopes, offsets = [], [], []\n", | |
" for i in range(0, n):\n", | |
" xj = dists[i]._hbins\n", | |
" aij = sigs[i]/sigp\n", | |
" bij = means[i] - aij*mup\n", | |
" xp = xj*aij + bij\n", | |
" slopes.append(aij)\n", | |
" offsets.append(bij)\n", | |
" \n", | |
" xps.append(xp)\n", | |
" # print(cis)\n", | |
" for i, (ci, dist, xp) in enumerate(zip(cis, dists, xps)):\n", | |
" centers = xp[:-1] + np.diff(xp)/2\n", | |
" # For rescale\n", | |
" binwidths = hists[i].axes[0].widths\n", | |
" norm = dist._histogram[0].sum()\n", | |
" if vertical_only:\n", | |
" out.append(ci * dist.pdf(hists[i].axes[0].centers) * norm * binwidths)\n", | |
" else:\n", | |
" out.append(ci * dist.pdf(centers) * norm * binwidths)\n", | |
"\n", | |
" # Reconstruct hists\n", | |
" if not components:\n", | |
" rh = hists[0].copy()\n", | |
" rh.view().value = np.sum(out_nom, axis=0)\n", | |
" rh.view().variance = np.sum(out_var, axis=0)\n", | |
" try: # If param value in axis name, rename\n", | |
" rh.axes[0].label = rh.axes[0].label.replace(str(params[0]), str(param_interp))\n", | |
" except:\n", | |
" pass\n", | |
" return rh\n", | |
" else:\n", | |
" to_return = []\n", | |
" for i in range(len(hists)):\n", | |
" rh = hists[i].copy()\n", | |
" rh.view().value = out_nom[i]\n", | |
" rh.view().variance = out_var[i]\n", | |
" to_return.append(rh)\n", | |
" return to_return \n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "0b86a6e7-2672-4724-b2c9-86e908896ffd", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "4890e32e-e15f-41a3-ac3d-354dc67f0eb4", | |
"metadata": {}, | |
"source": [ | |
"# Synthetic tests" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"id": "2f3480f3-a4ee-468a-ba66-695d7f2889a7", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", 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"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"hists = [hist.new.Reg(50, 0, 120).Weight().fill(np.random.normal(50+10*i, 10+2*i, int(1e6))) for i in [-2, -1, 0, 1, 2]]\n", | |
"params = [50+10*i for i in [-2, -1, 0, 1, 2]]\n", | |
"hep.histplot(hists, label=params)\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 37, | |
"id": "aafa9cc8-2336-48e3-810a-900e53123577", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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mGmi1Wlx//fU4cuSIR7k+/PBD9OjRAxqNBh07dsTSpUtrfB3Lli1Dr169oNfr0b59e0yaNAkGgwEAsHv3bowbNw4lJSWQyWSQyWTO11i1aezMmTO4++67ERsbi7i4OIwcORKFhYXO4/Pnz8e1116Lf/zjH+jYsSPi4+PxwAMP4PLly/W46w3DQIgoil24IG1EYU0IqeNzTVt5kfetkq/jtZ1XiAYXe8OGDdDr9di3bx+ysrKwYMECZGdnA5CajgBg3bp1+O2335yPv/zySzzyyCOYOnUqjh07hrfeegvr16/HwoULPc49f/583HPPPfjxxx/x6KOPOvfPmDEDS5cuxYEDB9C6dWvceeedsFZ0OMzLy8PIkSPxwAMP4Mcff8T8+fMxZ84crF+/3udrkMvlWLFiBY4ePYoNGzZg586dmDlzJgDgD3/4A15//XXExcXht99+w2+//YZnnnmm2jkcDgfuvvtuXLx4EXv27EF2djZOnTqF+++/3yPfzz//jI8++ghbt27F1q1bsWfPHixevLied73+2DRGREThzW5yjf5qqE86Nex5jRhtds0112DevHkAgM6dO2PlypXIycnBLbfc4mw6SkhIQHJysvM5L7zwAp599lmMGTMGANCpUye8+OKLmDlzpvNcAPDggw9i3LhxzsenTp0CAMybNw+33HILACkQa9euHbZs2YKRI0di2bJluPnmmzFnzhwAwNVXX41jx45hyZIlGDt2rNfXMG3aNGe6Y8eOeOmll/DEE09g9erVUKvViI+Ph0wm83gNVeXk5ODHH39Efn4+2rdvDwD4+9//jh49euDAgQPo378/AClgWr9+PZo1awYAePjhh5GTk1MtCPQ31ggREREFwDXXXOPxuE2bNigqKvKRW/L9999jwYIFiI2NdW6PPfYYfvvtN5jcVknu16+f1+enpaU50y1atECXLl1w/PhxAMDx48cxaNAgj/yDBg3CyZMnYbfbvZ7viy++wM0334wrrrgCzZo1w8MPP4zff//doyy1OX78ONq3b+8MggCge/fuSEhIcJYNkAKtyiAIqNv98gfWCBERUXhT6KSamZrYvHR0sxldNUF3nfJes1NbbY9CV7cyelG1A7NMJoPD4ajxOQaDAS+88ALuvffease0Wq0zrdcHfk6kX375BXfccQcmTpyIhQsXokWLFvjqq68wfvx4WCwW6HQNvzfeNOR++QMDIaIwotEAmza50kQEQCarPWDxdtw9ONImht2EiiqVqlpNTN++fXHixAlcddVVDTrnt99+i5SUFADApUuX8NNPP6Fbt24AgG7duuHrr7/2yP/111/j6quvhkKhqHauvLw8OBwOLF26FPKKWVc3VX5AVVCr1T5rkyp169YNZ8+exdmzZ521QseOHUNxcTG6d+/eoNfpTwyEiMKIUgmMGBG665tMvvuG6nTS9xER+UfHjh2Rk5ODQYMGQaPRoHnz5pg7dy7uuOMOpKSk4L777oNcLsf333+PI0eO4KWXXqr1nAsWLEDLli2RlJSE559/Hq1atXLObfT//t//Q//+/fHiiy/i/vvvR25uLlauXInVq1d7PddVV10Fq9WKN954A3feeSe+/vprrFmzptprMBgMyMnJQe/evaHT6arVFKWnp6NXr14YPXo0Xn/9ddhsNkyaNAlDhgzx2cQXTOwjRBSl5HKgXz9pq1xio2tXIDbW+1aPLgFEVAdLly5FdnY22rdvjz59+gAAMjIysHXrVvz73/9G//79cf311+O1115Dhw4d6nTOxYsXY+rUqbjuuutQUFCATz/9FGq1GoBU27Rp0ya899576NmzJ+bOnYsFCxb47Cjdu3dvLFu2DK+88gp69uyJjRs3YtGiRR55/vCHP+CJJ57A/fffj9atWyMrK6vaeWQyGT7++GM0b94cN954I9LT09GpUye8//779bhbgSMTohFjA5u40tJSxMfHo6SkBHFxcaEuDkUBmw3YskVK33OPVEMUTCkpwNmz3o8ZDEAQuiVQlCsvL0d+fj5SU1M9+sQ0SBStNbZ7927cdNNNuHTpkteZnpuimv5W6vP9zaYxojBiNgMjR0ppgyH4gdB//uPZNFZW5lqYlc1iRNQUMRAiIqeqg0D0euDo0dCUhajRlHrgQTZ6UM0YCBEREUW4oUOHgj1dGqbenaX37t2LO++8E23btvW6cq4QAnPnzkWbNm0QExOD9PR0nDx50iPPxYsXMXr0aMTFxSEhIQHjx493rl1S6YcffsANN9wArVaL9u3be+2AtXnzZnTt2hVarRa9evXC9u3b610WIiIiil71DoSMRiN69+6NVatWeT2elZWFFStWYM2aNdi3bx/0ej0yMjJQXl7uzDN69GgcPXoU2dnZ2Lp1K/bu3YsJEyY4j5eWluLWW29Fhw4dkJeXhyVLlmD+/PlYu3atM88333yDUaNGYfz48Th8+DCGDRuGYcOGeSwwV5eyEJFvJhPQo4e0cdQYETVJohEAiC1btjgfOxwOkZycLJYsWeLcV1xcLDQajXj33XeFEEIcO3ZMABAHDhxw5tmxY4eQyWTi119/FUIIsXr1atG8eXNhNpudeWbNmiW6dOnifDxy5EiRmZnpUZ6BAweKxx9/vM5lqaq8vFyUlJQ4t7NnzwoAoqSkpL63hqhBDAYhpO7KUjrUwq081PSVlZWJY8eOibKyslAXhcJcTX8rJSUldf7+9us8Qvn5+SgoKEB6erpzX3x8PAYOHIjc3FwAQG5uLhISEjwmUUpPT4dcLse+ffuceW688Ubn3AeANLfCiRMncOnSJWce9+tU5qm8Tl3KUtWiRYsQHx/v3NzXRSEiIqKmx6+BUEFBAQAgKSnJY39SUpLzWEFBARITEz2OK5VKtGjRwiOPt3O4X8NXHvfjtZWlqtmzZ6OkpMS5nfU1oQpRgKjVwLp10ub2O4CIiAKEo8bcaDQaaLjAE4WQSgX4mOSViOrJaDEidpE0oaJhtgF6ddOdUJEazq81QsnJyQCAwsJCj/2FhYXOY8nJySgqKvI4brPZcPHiRY883s7hfg1fedyP11YWIvIDIaQZfOu6cYgvkU9ff/01evXqBZVK5VwjjALLr4FQamoqkpOTkZOT49xXWlqKffv2IS0tDQCQlpaG4uJi5OXlOfPs3LkTDocDAwcOdObZu3cvrFarM092dja6dOmC5s2bO/O4X6cyT+V16lIWonBjswHbtkmbzRbq0tSR3SQtY1DXzc7hZ9Q0jR07FjKZDDKZDCqVCqmpqZg5c2a9RipPnz4d1157LfLz87F+/frAFZac6t00ZjAY8N///tf5OD8/H9999x1atGiBlJQUTJs2DS+99BI6d+6M1NRUzJkzB23btnVGtt26dcNtt92Gxx57DGvWrIHVasWUKVPwwAMPoG3btgCABx98EC+88ALGjx+PWbNm4ciRI1i+fDlee+0153WnTp2KIUOGYOnSpcjMzMR7772HgwcPOofYy2SyWstCFG7MZuCOO6R0KJbYqEomAyrXeuQSG0S1u+2227Bu3TpYrVbk5eVhzJgxkMlkeOWVV+r0/J9//hlPPPEE2rVr1+AyWCwWj8FGVIv6DlfbtWuXAFBtGzNmjBBCGrY+Z84ckZSUJDQajbj55pvFiRMnPM7x+++/i1GjRonY2FgRFxcnxo0bJy5fvuyR5/vvvxeDBw8WGo1GXHHFFWLx4sXVyrJp0yZx9dVXC7VaLXr06CG2bdvmcbwuZalJfYbfEdXG4ZCGoBsMQthsrv0Wi2t/YWEEDle3GoTYCGkrK5QeV93KCmvP4745HKF+VRQi/hw+bzAbBOZDYD6EwRz4N9SYMWPE3Xff7bHv3nvvFX369BFCCGG328XLL78sOnbsKLRarbjmmmvE5s2bhRBC5OfnV/teXbdunRBCiB9//FHcdtttQq/Xi8TERPHQQw+J8+fPO68xZMgQMXnyZDF16lTRsmVLMXTo0Do/78knnxQzZswQzZs3F0lJSWLevHke5b906ZKYMGGCSExMFBqNRvTo0UN8+umnzuNffvmlGDx4sNBqtaJdu3biySefFIYgfXj5a/g8V5+vAVefJ38yGoHYioWwd+0Chg713FdVxKz2XpcVvt3z1EUTXymcfPO2orgQAiZrzU2qRoux+j6rEZ1WdAIAnHrqFPSq6n9TtXWg1ql0kNWxOnTs2LEoLi52rrhw5MgR3HLLLejQoQO+/fZbLFy4EP/85z/x+uuvo3Pnzti7dy+eeOIJfP755xg8eDDOnz+PLl26YMGCBbj//vsRHx8Ps9mMq6++Gn/605/wyCOPoKysDLNmzYLNZsPOnTsBSMtr5OXlYeLEiRg/fjwAaYR0XZ53+PBhTJ8+HQ8++CByc3MxduxYfP7557jlllvgcDgwaNAgXL58Ga+99hquvPJKHDt2DAqFArfffjt+/vln9O7dGy+99BIyMzNx/vx5TJkyBb1798a6devqdM8ag6vPE0UwY/XPbCLywWQ1OUd/NVRlQFRf9R1ttnXrVsTGxsJms8FsNkMul2PlypUwm814+eWX8cUXXzj7qXbq1AlfffUV3nrrLQwZMgTJycmQyWSIj493DupZunQp+vTpg5dfftl5jb/97W9o3749fvrpJ1x99dUAgM6dO3ssRfXSSy/V6XnXXHMN5s2b5zzHypUrkZOTg1tuuQVffPEF9u/fj+PHjzvzd+rkuo+LFi3C6NGjMW3aNOfzV6xYgSFDhuDNN9+sFpyEKwZCRCFwww3Sv3o9YLFIW1VVV4IPhbIy4MYbpfTevUBMTANPpNBJtTw1sRmBfyXVnIcozN1000148803YTQa8dprr0GpVGL48OE4evQoTCYTbrnlFo/8FosFffr08Xm+77//Hrt27UKsl6rjn3/+2RmgXHfddQ163jXXXONxrE2bNs6R3d999x3atWvnzOutbD/88AM2btzo3CeEgMPhQH5+Prp16+bzdYUTBkJEIaBQuNIqlbSFI4cDOHjQlW4wmYxNXdRgOpUOhtk1B9KBbBqrD71ej6uuugqAVAPTu3dvvP322+jZsycAYNu2bbjiiis8nlPT/HUGgwF33nmn187Wbdq08bhuQ56nqvLhI5PJ4Kh4s8fU8svHYDDg8ccfx1NPPVXtWEpKSo3PDScMhIiIKKzJZLJaAxZvx92Do0R9YtAnVJTL5Xjuuecwffp0/PTTT9BoNDhz5gyGDBlS53P07dsXH374ITp27AhlPYaRNvR57q655hr873//82hKq3qNY8eOOQO/SOXXeYSIKHrZhfTF42uz2L20/xE1cSNGjIBCocBbb72FZ555Bk8//TQ2bNiAn3/+GYcOHcIbb7yBDRs2+Hz+5MmTcfHiRYwaNQoHDhzAzz//jM8//xzjxo2D3W73+/PcDRkyBDfeeCOGDx+O7Oxs5OfnY8eOHfjss88AALNmzcI333yDKVOm4LvvvsPJkyfx8ccfY8qUKfW7SSHGGiEi8osvy4Cblvju45OVnoUZg2YEsUREoadUKjFlyhRkZWUhPz8frVu3xqJFi3Dq1CkkJCSgb9++eO6553w+v23btvj6668xa9Ys3HrrrTCbzejQoQNuu+02yOW+6zIa+ryqPvzwQzzzzDMYNWoUjEYjrrrqKixevBiAVGO0Z88ePP/887jhhhsghMCVV16J+++/v+43KAxw+HwNOHye/MliAZYvl9JTp0bGoqruw/t9DuevGBq/2wTc9Kvvc9UaCNVlGD41eTUNia4vrjXWtHH4PFGEUauBGU24QuSGGMAwo9BnAKNSqLx2aHUeFxZEQGxIRE0MAyEi8k0IpLStmMjOVrFVYTUXY22xlJ6gUEPl5Ve33WHHod8OIeubLHxw7AOvl5p3w2zM90uhiSR6tR5iHhs9qGYMhIiCxG4HDh2S0n37eg6hD1d6rQmnl1Q0V23znsfiAKacl9Jj7RZ4mwmg3FaOAX8dEJAyEhE1BgMhoiApLwcGVMQCEbN8hp/UZR4YhaMcR99dBADoJhwc0kpEQcFAiIjq5l4f/X8sRqBytJjC++RzdZkHxmgyoucZKW2wlkGvataY0lKE4zgeqo2//kYYCBGRT2VlQOXcsmVWPWK0XoIZ9xmn67g4JZEvlTMdm0ymWmc2puhmqVibSNHIfgYMhIjIJ/dlNRq1xAZRHSkUCiQkJDjXu9Lp6r76O0UPh8OB8+fPQ6fTNXjm7EoMhIiIKKxUrrxeGQwReSOXy5GSktLoQJmBEBERhRWZTIY2bdogMTERVqs11MWhMKVWq+s1S7YvDISIqFE0Sg22jtrqTBP5i0KhaHT/D6LaMBAiChKVCpg3z5VuKpRyJTKvzgx1MYiIGoSBEFGQqNXA/PmhLkX4UilUeCbBlSYiCgYGQkRUZzaHDWab2WOf1WHFxh82Qq/WY3Sv0Q0OYtQKNZa0rnig4KpjRBQcDISIgsThAI4fl9LdugF+6OMXcO6zX+v1wObjWzDyg5E+84/oPoK1OUQUURgIEQVJWRnQs6eUjpQlNmwOG7ZcltL3OLysuOpHDuHAmYoBQilcYoOIgoSBEBH5ZLaZMbJAShtsZtzT7Z4a1wzTqbwvsVEXZdYypP5Sca2yC9DLagmFFDrOZE1EjcZAiIh8Kjd7pvU6JZTqIHxsfNIJtVYJjTR4X/uMiKgeGAgRkU92u/d0oBkrlvNQAtBUBERCACa3NRZ1QoD1QUTUWGyGJ6Lw4LZyfVI+EPsz8GSzsZCdBGQngdMZRxH7M5ybyWoKYWGJqKlgIERE4cFbfx+Z2wg0RcP7HxER+cKmMSIKCzqVrlpHbKVcibV3rQUACCFQOO0Ukl7vFIriEVETxUCIKEhUKuCZZ1xp8iSTyaBX++78LJPJoFexczQR+RcDIaIgUauBJUtCXYr6UcvVWJfkShMRNTUMhIjIJ5VChbFxUtrIGaOJqAliIEQUJA4HcOaMlE5JicwlNkJNKVdiTDNXmoiosfhJQhQkZWVAaqqUjqQlNj43SukMhy3kHxgapQbrkyseKDUhLQsRNQ2h/lwjojBmtplxxzkpbbCZoWQ3ISJqYiKgcp6IQqXqEhuhJoSA0SHNPC2EqP0JRES1YI0QEfkUqiU2fDFZTYj9WUobrCboVbGhLRARRTzWCBEREVHUYiBEREREUYuBEBEREUUt9hEiChKlEpg0yZUOOSEAey0ruNuNHtkrmc2AzVY9u07nfe1UIqJwFQ4fx0RRQaMBVq0KdSnc2E3Appo7GzcXwMrWUtpmkcbOG41ArI+nRcr8SERElRgIEZFPKhkwOUFKG2O5xAYRNT0MhIiCRAjgwgUp3apVmDUh3VsIKKtX5QgBmCpaz3TNdACkGp/yclfTmNEIJCUFp5gKuQL3xbrSRESNxUCIKEhMJiAxUUqHXROSUu81EHI47Dhw6UsAwA3NboACUvCh0UhbsGmVWmxuU/nIDtiMNWUHFOy0REQ1YyBERD6V28px04abAACG2Qbo1dWDJZ0OKCpypYPmX3Wohhpp8BrgERFVYiBEFKWEEDA5pLTWYUdlQ5PFboHVbgUAGK211LhAqnBp3TpAhSQiCjAGQkRRyn25iv0F36F/yo0wWoyIXRS+y1YY7QKxJ6W0YUah1xoq2Ix1qy0iIgIDISJC3Wp+fDGbgenTpfSyZQHuO+Te38dHvyYiovrw+8zSdrsdc+bMQWpqKmJiYnDllVfixRdf9FgpWgiBuXPnok2bNoiJiUF6ejpOnjzpcZ6LFy9i9OjRiIuLQ0JCAsaPHw+DweCR54cffsANN9wArVaL9u3bIysrq1p5Nm/ejK5du0Kr1aJXr17Yvn27v18yUcTrm3wtAECv1sP8ZzMMsw3VNp3Kewcgmw1YvVravE2ySEQUzvweCL3yyit48803sXLlShw/fhyvvPIKsrKy8MYbbzjzZGVlYcWKFVizZg327dsHvV6PjIwMlJeXO/OMHj0aR48eRXZ2NrZu3Yq9e/diwoQJzuOlpaW49dZb0aFDB+Tl5WHJkiWYP38+1q5d68zzzTffYNSoURg/fjwOHz6MYcOGYdiwYThy5Ii/XzZRRFPIXEPR1Qo19Gp9tU3G0VdE1BQJP8vMzBSPPvqox757771XjB49WgghhMPhEMnJyWLJkiXO48XFxUKj0Yh3331XCCHEsWPHBABx4MABZ54dO3YImUwmfv31VyGEEKtXrxbNmzcXZrPZmWfWrFmiS5cuzscjR44UmZmZHmUZOHCgePzxx+v0WkpKSgQAUVJSUqf8RDUpLxdizBhpKy8PdWmEMBgLBeZDYD6EwVjY8PMYhJBmHJLSgWQwG1xlNvu4mNUgxEZImzXABSKisFSf72+/1wj94Q9/QE5ODn766ScAwPfff4+vvvoKt99+OwAgPz8fBQUFSE9Pdz4nPj4eAwcORG5uLgAgNzcXCQkJ6NevnzNPeno65HI59u3b58xz4403Qq1WO/NkZGTgxIkTuHTpkjOP+3Uq81Repyqz2YzS0lKPjchfNBpg/XppC8UcPFQDu12aGdLX5r7QGhE1KX7vLP3ss8+itLQUXbt2hUKhgN1ux8KFCzF69GgAQEFBAQAgqcpUtElJSc5jBQUFSKycea6yoEolWrRo4ZEnNTW12jkqjzVv3hwFBQU1XqeqRYsW4YUXXmjIyyaiSPbll8BNN/k+HnYzYBKRv/g9ENq0aRM2btyId955Bz169MB3332HadOmoW3bthgzZoy/L+dXs2fPxvTK4S+Q+iG1b98+hCWipsRjuYowmPBYpVBhXgtXOhIo5Ar8sfMfnek6sdmkoW3urFZg7VopuHHre0hE0cfvgdCMGTPw7LPP4oEHHgAA9OrVC6dPn8aiRYswZswYJCcnAwAKCwvRpo1zrnwUFhbi2muvBQAkJyejqHKq2go2mw0XL150Pj85ORmFhYUeeSof15an8nhVGo0GGrZZUICYTK5V28OhgkGtUGN+y4oHCnWNecOFVqnFtge31e9Jn38O3HGH7+NjxwI33CD9p7izWIDly6X/KFVkBIpEVH9+7yNkMpkgl3ueVqFQwOGQprBNTU1FcnIycnJynMdLS0uxb98+pKWlAQDS0tJQXFyMvLw8Z56dO3fC4XBg4MCBzjx79+6F1Wp15snOzkaXLl3QvHlzZx7361TmqbwOETVeTAyQny9tMTGhLg2k2h5v6ZooFFLA4741bw7Mnw/MmAGoIyNQJKL683uN0J133omFCxciJSUFPXr0wOHDh7Fs2TI8+uijAACZTIZp06bhpZdeQufOnZGamoo5c+agbdu2GDZsGACgW7duuO222/DYY49hzZo1sFqtmDJlCh544AG0bdsWAPDggw/ihRdewPjx4zFr1iwcOXIEy5cvx2uvveYsy9SpUzFkyBAsXboUmZmZeO+993Dw4EGPIfZE0cohHDhe0WLUTTga/KtILgc6dvRXqerGaPE+AaRcJkeMxeLaYbEAGRnVa3vcBXWBNCIKO/4eslZaWiqmTp0qUlJShFarFZ06dRLPP/+8xzB3h8Mh5syZI5KSkoRGoxE333yzOHHihMd5fv/9dzFq1CgRGxsr4uLixLhx48Tly5c98nz//fdi8ODBQqPRiCuuuEIsXry4Wnk2bdokrr76aqFWq0WPHj3Etm3b6vxaOHye/CmYw8zrVB4/DZ8PJoPZIHQLdc5yV90Gvz1YiOJC1/D54ka8LptNiP37pc1m89+LIKKAq8/3t0wIjgv1pbS0FPHx8SgpKUFcXFyoi0MRzmgMrz5CRlMRYpdIoyoNMwqh1yXW8gzvLBbg+eel9MKFgW1Fqm0ttMHtB+PL4R8C2ypGi2YWAvENe11h9x9GRHVWn+9vrjVGRI1itQKvviql588PbCCkU+lgmO27mUsuk8NYUoCOp6THv1iNYPhCRDVhIETkB+5D471hZYJ/yGQy7yvOuzECuGAPTnmIKPIxECLyA/eh8d4YDNLApPvukx4r6jgFDlVRU8Sp0QDKAH2kGY3SEPrK6i6HAygr88wTDpNDEVG9+X34PBF5p9UCmzdLm1Yb6tJEqMqI09u2ZUvgrpuUBLz8shQQyWRSJFv1+jVVCRJR2GIgROQHCgXwxz9K24ULUg2Q+8amsSAYOVIKVHQBvNl6vVQrdeRI4K5BREHFpjEiP9BqgW31nPA41FQKFZ5JcKUjTmGhZ4RZ2TRmcptjKKYRcwTpdJ7zD7nPLt2tm3TMaJRqi4goYjEQIopSaoUaS1pXPIiQJTagVgPr1knp5s1rX/qiMX12ZDLfVXlyOav5iJoIBkJE1CgxMa6WooAvsaFSSWuD1UAuk6OfxpUmIqoJAyEiPzAagcSKefuKiiKjssAhHDhTsRRXSiOX2OjRw2/FarQYVQwOpFQ8UAU4MlOpgGeecaWJKOIwECLyk0gbNFRmLUPqL1LaYC2DXtUspOWpE5tNWk0ekNYQC9Rw+bpSq4ElS0JbBiJqFAZCRNQoFos0shwAnnsuwAu1m83AHXdIaYMh9IEQEUU8fooQUaNYrcALL0jpGTMCHAjVgclqQvd8KX3MaoJOGcB2SocDOHNGSqekSO2ERBRRGAgRUZMihMBpmysdUGVlQGqqlOaEUUQRiT9fiIiIKGoxECIiIqKoxaYxIj+Qy4EhQ1xpIiKKDAyEiPwgJgbYvTvUpagfpVyJSfGuNBFRNOKnH1GU0ig1WFUxCSSUmpCWpc7UamDlSleaiKiRGAgRUaNotcD+/a50QKlUwOTJNWaRyWTornaliYhqwkCIyA+MRqBjRyn9yy+RMYpaCIELFcPMWwmBhoYMCgXQv7/fitVoOpUORztUPFA1YvX5ulAqgUmTpLRCIf0h1ESna9xCsETkdwyEiPzkwoVQl6B+TFYTEismHjRYTdCrYkNboKosFmm2Rnd2O/Dll1KkecMNUvARShoNsGqVlD5/3rXgnC+ca4go7DAQImqChBAwWaXFz3QqnbOJyGwzw+aQqoGM1lpqL+rIYgGWL5fSU6f6sevO8uXAzJm+j0daUDFmDJcEIQpDfFcSNUEmixGxi6VFVA0zCqFXSwHD458+jg0/bPTrtaxWV7wyaVIjAiG7HTh0SEr37dvg8pisJvQ/LaUPBHqJDXetWknBmS+RFLQRRREGQkRNkd3kTBo/SIJeCRgdwIafpX0xAMpCUzLfysuBAQOktMEgVS9V9r/xRue9/48QAscsrnTQyGQMdogiEAMhoiZOVzHBo14OiM5S2uiokifQnYobQq1uGkPkhQBMFYEpO0sThR0GQkRNnOyuU4DOsxNvtXoLRRgGQv5gM0pbTRQBDk5MJiC2oiN6pPVrIooCDISI/EAuB/r1c6XDilIvbdHok061r6g40hC994eIGAgR+UNMDHDgQKhLQURE9cVAiIiaFvdmvnsLAbWX2h6bEfhXUvDKRERhi4EQUROkkCtwX6wrHUhaLbBrlysdajK5HB3ipamlZapYQNlE+z8RkV8wECLyA5MJ6N5dSh875nNkd9BolVpsblPxQBnY6EShAIYO9cOJVCpg3jxXuoF0Kh1+mfaLHwpERNGAgRCRHwgBnD7tSlMDqNXA/PmhLgURRRkGQkTUKFYrsHatlJ4woVGVOU2TQgHcd58rTURhhYEQURNktBgRe1JKGyxG6AM4PNxiAaZMkdJjxzYiEHI4gOPHpXS3bg2eh6DMWoYb198IANg7di9iVDENLJCfaLXA5s2hLQMR+cRAiIjCQ1kZ0LOnlG7ExIMO4cDBcwcBAJctl+EQrmm09W4jyMocgAOATghwrmei6MVAiIiarKRXqw+RN8w2QC8Hbj8H7CkDDFYT9KrYEJSOiMJBuM2BS0QUEK10rSDmCejVehgtRuwJ1qqzRqO0hIdMJqWJKKywRojID2Qy1/B5rqkZWjqVDobZhlAXg4giBAMhIj/Q6YCjR0NdCgIAmUzm0ReIiKgmbBojIiKiqMUaIaImSCFX4I86VzqQNBpg61ZXmogokjAQIvIDkwno319KHzgQHktsbLui4kGAl9hQKoHMTD+cSKUCnnnGlSYiCgIGQkR+IIS0xlhlmnwwmwGbzffxV15p8ESK9aVjp3YiAgMhImokqxXYuFEaGT56dPXKHI1GqjUCAEyfDqxe7ftk+flAx46BKqqTXq2H8aqKB4HuWK1QAH/8oytd2xB6nY5DD4mCiIEQURNktBiR+F8pXRSEJTbGjZPSlUttuNu0CRgxImCXD39aLbBtm+uxXi+1pfrSiFm1iaj+OGqMqIkyCWkLtfJyqTVs82bgw0HLYCs2SF/23raUlFAXN7SGDAla0yARSVgjRESNotNJMYwvGg1gLheYNPICAOC2y62g1Ie26afcVo7hv0rpD23l0AawxqyaoiLfx1gTRBR0DISIqFFkstq/v80mE84jEQBgNBmA2NB+4dsddmw3udJBxWCHKKwEpA72119/xUMPPYSWLVsiJiYGvXr1wsGDB53HhRCYO3cu2rRpg5iYGKSnp+PkyZMe57h48SJGjx6NuLg4JCQkYPz48TBU+dn5ww8/4IYbboBWq0X79u2RlZVVrSybN29G165dodVq0atXL2zfvj0QL5minEwGdOggbeznSkQUOfweCF26dAmDBg2CSqXCjh07cOzYMSxduhTNmzd35snKysKKFSuwZs0a7Nu3D3q9HhkZGSgvL3fmGT16NI4ePYrs7Gxs3boVe/fuxYQJE5zHS0tLceutt6JDhw7Iy8vDkiVLMH/+fKxdu9aZ55tvvsGoUaMwfvx4HD58GMOGDcOwYcNw5MgRf79sinI6HfDLL9IW6jmEKAIZjUDr1tLGhVmJgkv42axZs8TgwYN9Hnc4HCI5OVksWbLEua+4uFhoNBrx7rvvCiGEOHbsmAAgDhw44MyzY8cOIZPJxK+//iqEEGL16tWiefPmwmw2e1y7S5cuzscjR44UmZmZHtcfOHCgePzxx+v0WkpKSgQAUVJSUqf8REHhcAhhNdS4GUpOCcyHwHwIg7Ew1CUWhkKDENIUS1I61OUxFobV/REG1/0RhtDfH6JIV5/vb7/XCH3yySfo168fRowYgcTERPTp0wd/+ctfnMfz8/NRUFCA9PR05774+HgMHDgQubm5AIDc3FwkJCSgX79+zjzp6emQy+XYt2+fM8+NN94ItVrtzJORkYETJ07g0qVLzjzu16nMU3mdqsxmM0pLSz02orBjNwGbYmvc5J90wpAYYEgMIJdxFBIRkS9+/4Q8deoU3nzzTXTu3Bmff/45Jk6ciKeeegobNmwAABQUFAAAkpKSPJ6XlJTkPFZQUIDExESP40qlEi1atPDI4+0c7tfwlafyeFWLFi1CfHy8c2vfvn29Xz9Fp7IyaYmN/v2ldKjFyIHd7aQtRhUT6uIQEYUtv48aczgc6NevH15++WUAQJ8+fXDkyBGsWbMGY8aM8ffl/Gr27NmYPn2683FpaSmDIaoThwOoHA/gcATxwvcWArUN/VaEvtOSW8WtR5qIKNT8Hgi1adMG3bt399jXrVs3fPjhhwCA5ORkAEBhYSHatGnjzFNYWIhrr73WmaeoylwbNpsNFy9edD4/OTkZhYWFHnkqH9eWp/J4VRqNBhoun02RRKmvPRAKA6oYJVDxQ0gVE/pZO/RqPUTnigeBXmKDiMKa35vGBg0ahBMnTnjs++mnn9ChQwcAQGpqKpKTk5GTk+M8Xlpain379iEtLQ0AkJaWhuLiYuTl5Tnz7Ny5Ew6HAwMHDnTm2bt3L6xWqzNPdnY2unTp4hyhlpaW5nGdyjyV1yFqqowWI1ovaY3WS1rDaAmDUUgaDbB+vbTxxwYRhRG/B0JPP/00vv32W7z88sv473//i3feeQdr167F5MmTAQAymQzTpk3DSy+9hE8++QQ//vgjHnnkEbRt2xbDhg0DINUg3XbbbXjsscewf/9+fP3115gyZQoeeOABtG3bFgDw4IMPQq1WY/z48Th69Cjef/99LF++3KNpa+rUqfjss8+wdOlS/Oc//8H8+fNx8OBBTPG2IBJRE3PBdAEXTBdCXQwA0hIb27ZJW02Lz0ctuRzo10/auMQGUXAFYtjap59+Knr27Ck0Go3o2rWrWLt2rcdxh8Mh5syZI5KSkoRGoxE333yzOHHihEee33//XYwaNUrExsaKuLg4MW7cOHH58mWPPN9//70YPHiw0Gg04oorrhCLFy+uVpZNmzaJq6++WqjVatGjRw+xbdu2Or8ODp+nugrq6GerQYiNkDar94sZzAbX8HBz6IdjGy47hA4GoYNBGC47Ql0cUVZ2Qdz3KsR9r0KUlV0IdXGIyM/q8/0tE0KEwbKM4am0tBTx8fEoKSlBXFxcqItDYcxoBGJjpXTAFw+3GaVh8gAw0uC1j5DRYkTsIimPYbYB+hD3gzEWGaFPkspjLDRAnxji8piKELtEGlFqmFEIvS6xlmcQUSSpz/d36HstEjURrVqFugRERFRfDISI/ECvB86fD3UpKGKZTEDlaNtjx7hOC1EQMRAiIgo1IYDTp11pIgoaBkJETZBcJke/tv2caSIi8o6BEJEflJUBt98upXfsAGJCvKpFjCoGBx47ENpCEBFFAAZCRH7gcAB79rjSwWKymiB8XE8mk0GnCo++Jlxig4jCFQMholoIIfVlBQCFAtBqXceMRs9/g63/327EsQv/8XqsQ3wH/DLtl+AWyAeVVgHcd58rHWI6lQ6GK11pIopeDISIamEyueYI+uMfpdmR3ecNojrQaoHNm0NdCieZTAa93PkgpGUhotBiIEQUwQ48uhfCx+rysjD6grfbgS+/lNI33CDVrJEbmcw1fD6M/t+IogEDIaJ6+PvfpX/1eqnJzFuTWKCngDFZTehfMdL6ABDyWaProrwcuOkmKR3wmbfrwGwz4/ECKf2WzQyNl9m5g0qnA44eDW0ZiKIUAyGienDvHwSE5gtdCIFjFlc6IhiNEKhYYsMY+kjI5rBhw2UpvcphgyakpSGiUGIgRESN496b3D3AKS+X2sSA0PUmjzS+7pNMxtmmiQKEgRARNU5lb3KdzvOLfPhwYPt2AEBYN97ZjNJWE4UusH13TCagf39peQ1v2rcHzpwJ3PWJohgDISLyD5NJCoT0eunfiiAo7H3SCaht8u2RBiCQ/YiE8B0EEVFAMRAiqkVlx2iqB71emm67omnMaAQSk6RDRWziqU6nk3qR+yKTSffzxhulx3v3hn76cqImgoEQEQVGlZ7lpspEOIwOd59y4N5CwNvIO5sR+FdScMojk9XegdxoBA4elNLBnL6cqIljIEQUYWQyGTooXelIoFIBWVmudMi53zelPrDNXkQU1hgIEdWivBx4+GEp/Y9/VB9CH2w6lQ6/pFY8iJDlIdRqYMaMUJfCRafSoeiZIgCAQq6A0eKls7TNCFRUvOiECIuKLCLyPwZCRLWw24EPPpDS69eHtCjkJzKZDK31rQEAk7dNxuqDq2vMb7CaoFdxTRWipoiBEBE1jlwODBniSnthtwOHDknpvn0jZ4mNifHAzOZAjIodk4maKgZCRBGmzFqGGyumlNlrLUNMqPu3xMQAu3fXmKW8HBgwQEqHwxIb7pZlLEPWLVnVD1R0ltbLAchqG19PRJGKgRBRhHEIBw6aXWlqHI1SA423RTbkqH1+oWBr1SrUJSBqchgIERF5YbFb8Px5Kb3QboE61DVvej1w/nxoy0DUBIXb7x0iijRGI9C6tbQ1oTXFrHYrXi0GXi2W0kTUNLFGiIga78KFUJeAiKhBWCNEVIvK1Q8MBi4ATiFUVgYMHSptZWWhLg1Rk8EaIaJa1GX1A6KAcziAPXtcaSLyCwZCRBGoVYTMw1NJpQLmzXOliYjCBQMholqYzcDjj0vpt94CNF5GWgeTXq3H+U4VD7wtFhqG1Gpg/vxQl4KIqDr2ESKqhc0GbNggbTZbqEtDRET+xBohImocuRzo18+V9sLhAI4fl9LduvnMFlZiVDE4kuJKE1HTxECIKMKUWctw+/+k9I5wWWLjwIEas5SVAT17SulwW2LDF7lMjh6VzaBcYoOoyWIgRBRhHMKBPWWuNEURzt9A5HcMhIiIvLDYLXj5dyn9XLgssdGEZu4mChes7yWixjGZgI4dpc1kCnVp/MZqt+KFi8ALF7nEBlFTxhohImocIYDTp11pIqIIwkCIqBY6HVBU5EoHlBCAvZZaFRubR6JSeTkwfLiU/vBDQKsNbXmImggGQkS1kMmkhdWDwm4CNsXWnIf9o6OT3Q5s3+5KE5FfMBAiikA6WahLUD8qFfDMM640EVG4YCBEVAuzGZg+XUovWxbEJTbuLQS8jFTSA3A2jikC3FYnhPcO0DJZvdoJ1WpgyRI/livaVY4ec5+Qqbzcs6ZIp5P+n4ioRgyEiGphswGrV0vprKwgBkJKvddAKKhMJiDWS1Nd9+7A0aPBLw9JkpKkf907pz/8MPDBB67HkTJzJVGIcfg8EdXfsWNSbYPRKH3Zdu9eY3aHA/jlF2lzREgfJ61Si/3tgf3tpXRYMhql/weZjAvhETUQa4SIIky5rRzDN0mjhz4c+WHwvqQLC101DFWbxg4ckGonfDSXlZUBqalSOlIqKhRyBfpX3lq5IqRlASDdW4PBc59e76oVKi8HSktdtUVEVCcMhIgijN1hx/aT253pgJLJgA4dpHRsrO9+QfXoL+Q+ObJS6WpqdO+OxO4tXshkNUeQWi1HkxE1AAMhojAihICpoulIYSuH1q2PkNEiRRBGaxDnEdLppPYsP/JWYWEwSEFQYqLrcahrjSx2C5ZfktJTw2GJDSIKCAZCRGHEZDUh9mcpfd/Hf8Lm+7c4j8UuqmV+oQgXbstoWe1WzLwgpSfZrVCHtjhEFCAMhIjCnNFijPggyFv3FqB60xg1kvuN5kr1RHXCQIioFjExQH6+Kx0sb/1xBQBAr9ZDzBPOpjF3OlWAv+zKyoAbb5TSe/c2+AbU1r2lMg81Ul1uNBF5YCBEVAu5XFpYPdg0Cs8Ji/TqEHzBORzAwYOuNBFRExPweYQWL14MmUyGadOmOfeVl5dj8uTJaNmyJWJjYzF8+HAUFhZ6PO/MmTPIzMyETqdDYmIiZsyYAVuVeTJ2796Nvn37QqPR4KqrrsL69eurXX/VqlXo2LEjtFotBg4ciP379wfiZRIRhZ7ZDIwdK21mc6hLQxQRAhoIHThwAG+99RauueYaj/1PP/00Pv30U2zevBl79uzBuXPncO+99zqP2+12ZGZmwmKx4JtvvsGGDRuwfv16zJ0715knPz8fmZmZuOmmm/Ddd99h2rRp+NOf/oTPP//cmef999/H9OnTMW/ePBw6dAi9e/dGRkYGiiqXEieqA4sFmDFD2iyWUJeGqAY2G7Bhg7RxgkWiuhEBcvnyZdG5c2eRnZ0thgwZIqZOnSqEEKK4uFioVCqxefNmZ97jx48LACI3N1cIIcT27duFXC4XBQUFzjxvvvmmiIuLE2azWQghxMyZM0WPHj08rnn//feLjIwM5+MBAwaIyZMnOx/b7XbRtm1bsWjRIq9lLi8vFyUlJc7t7NmzAoAoKSlp3M2giGYwCCF15ZXSAb2WsVBgPgTmQxiMhYG9WJ0KFLwXX14uxJgx0lZeHtBL1UnY/V/URTD/WInCWElJSZ2/vwNWIzR58mRkZmYiPT3dY39eXh6sVqvH/q5duyIlJQW5ubkAgNzcXPTq1QtJbhOOZGRkoLS0FEcr1jfKzc2tdu6MjAznOSwWC/Ly8jzyyOVypKenO/NUtWjRIsTHxzu39u3bN+IOENWfTqWD4UrAcGUQOkKHGY0GWL9e2oK2nlsNtEotdl0B7LoijJfYIKJGC0hn6ffeew+HDh3CgQMHqh0rKCiAWq1GQkKCx/6kpCQUFBQ48yRVmXWt8nFteUpLS1FWVoZLly7Bbrd7zfOf//zHa7lnz56N6ZXLjAMoLS1lMERBJZPJoJc7H4S0LNFOIVdgaGUsGg5LbBBRQPg9EDp79iymTp2K7OxsaLWR9StKo9FAEw4/RYnCSatWQbkMl9ggolDwe9NYXl4eioqK0LdvXyiVSiiVSuzZswcrVqyAUqlEUlISLBYLiouLPZ5XWFiI5ORkAEBycnK1UWSVj2vLExcXh5iYGLRq1QoKhcJrnspzEIUbs82MsQXA2AIpHXJ6PXD+vLQFeH4ak0laziw21hUQhZLVbsWqYmBVMWA1FwM2Y80bZ4Qkikh+rxG6+eab8eOPP3rsGzduHLp27YpZs2ahffv2UKlUyMnJwfDh0graJ06cwJkzZ5CWlgYASEtLw8KFC1FUVITEisWHsrOzERcXh+7duzvzbN++3eM62dnZznOo1Wpcd911yMnJwbBhwwAADocDOTk5mDJlir9fNpFf2Bw2bLgspVc5bGD9ZOhY7BZMOS+lR3zYztlkqa/y89EqAIsAdPdfhkwV2TOAE0UjvwdCzZo1Q8+ePT326fV6tGzZ0rl//PjxmD59Olq0aIG4uDg8+eSTSEtLw/XXXw8AuPXWW9G9e3c8/PDDyMrKQkFBAf785z9j8uTJzqarJ554AitXrsTMmTPx6KOPYufOndi0aRO2bdvmvO706dMxZswY9OvXDwMGDMDrr78Oo9GIcePG+ftlE1ETlpRffZ/hSiko2ngZGFcIGKwm6EMdCOl0QOX0IFxig6hOQjKz9GuvvQa5XI7hw4fDbDYjIyMDq1evdh5XKBTYunUrJk6ciLS0NOj1eowZMwYLFixw5klNTcW2bdvw9NNPY/ny5WjXrh3++te/IiMjw5nn/vvvx/nz5zF37lwUFBTg2muvxWeffVatAzVRTWJigCNHXOmoUlYG3H67lN6xI7pugMJ3ILF15AfQd74NRlMRslZ1CmKhaiGTAa1bh7oURBFFJgQbtn0pLS1FfHw8SkpKEBcXF+riUBQwmooQu0QK1A0zCqHXJYa4QEap0w4gLeYZwH5CQbxUnQghYLJ676ykUWqglCvD7/+LiADU7/uba40REXkhk8lCs75bY5jNQOUUIMuWhceETERhLuBrjRFFOosFmD9f2rjEBoU1mw1YvVrauMQGUZ2wRoiiWuXcNSoVoFZL++x2oLzclcdoBF54QUrPmOHKR/6lUAD33edKExEFA2uEKKpVzl2zfLlr39dfu+aziY0Fgtm3XqfSoSgVKEqNviU2tFpg82Zpi7C5WIkogjEQIgKQlSXV/AChHRglk8nQWgm0VkppIiIKLDaNEQG4cMGV7ttXGrXkTVROzRKVL7puNEoNNiW70kQUeRgIEVWhUIRu6LbZZsb0ivnwltnM0CiDUJDKqjBvFIqaj/u5GOE0fL4ulHIlRjSreCDnxylRJOI7lyiM2Bw2rC6R0lnBWmIjtobZkP/4R8BttnaKMBYLYLX6Ps7VbYkYCBERNZTNYcOWirXh7nHYQv+BGhMD5Oe70rNmAa++6jt/pFS9EQVQyN+3RBRivjpEARzHXguzzYyRBVLaYDNDGeqpFeRyoGPHEBeCKLIwECKKdqwRaLoWLpRmAnXncADHj0v/79G0dhyRDwyEKKpptcCuXa50VCkvBx5+WEr/4x9ReAOigFrtfQbQAQOCXxaiMMVAiKKaQgEMHRrqUoSI3Q588IGUXr8+pEUhIgoVBkJEFBYUCmmQWmWaAsRiAV5+WUo/9xzXjKGox0CIoprVCqxdK6UnTJDWHAulGFUM8ju60tFEq+VI/aCwWrl4HpEbBkIU1SwWYMoUKT12bOgDIblMjo6VZZBxBRwiokBjIERE1EBqhRrrklxpIoo8DISIgkUIwG6qMYvFfAnPn5fSC+0WqIOxxEaYMBqBxEQpXVQUGaP6VQoVxsZVPFCEuDqRiBqEgRBRsNhNwKYalrMAYHUArxZL6fl2K6KtjsFUc5xIROR3DISIgkQIAZNDSqtkgLpiiSeHAMqElDY6glggnc41qzRXmG8Qm8OGzyvWpM0IhyU2iKje2BuTKEhMVhNifwZifwZeTnoGGGkARhpw/P/2O/cn5bs9QRHg4EQmk9qf9HouvNlAZpsZd5wD7jgnpYko8vAHDFEoyFWAUg+jxYiea33M8svghAJBqwX273eliaIcAyGKahoNsHWrKx0sU/tPAgDo1XrY59pRZi2rlkenCnCNkNkMPP64lH7rreDeAAodhQLo3z/UpSAKGwyEKKoplUBmZvCv6z7UWi6TQ68OwRApmw3YsEFKr1rFQIiIohIDISIKC3I5MGSIK00BYrEAy5dL6alTObM0RT0GQhTVrFZg40YpPXp06GeWjmYxMcDu3aEuRRSwWoGZM6X0pEkMhCjqMRCiqGaxAOPGSekRIxgIERFFGwZCREGiVWqxv70rTZFPrVBjZWtXmogiDwMhoiBRyBXoXxn/yBUhLUs4MhqBjh2l9C+/RM4SG5MTKh5wiQ2iiMRAiIjCxoULoS4BEUUbBkJEQWKxW7D8kpSeGg4Lqup00uqmlWmqN7vDji9NgFEAN5hLoaiyRIpKoWKTGVGYYyBEFCRWuxUzK2o8JoXDgqoyGdC6dahL4ZXRKA2hj4lx7TOZACFcj3W60E++XW4rx02/Vjx4tW214y8NmYvnB8907VCEQaGrslqlUQO+hMONJgogBkJETZ3DAZRVn7naKQw74yQlAf36AQcOuPZ17w6cPu16bDCEZdE9qI8ugP3XBThUsQxZ34dKoFDHhbZQWi2wa5crvWYNMGWK7/yRcKOJGoGBEEU1jQbYtMmVbpLOnAFSU30fnzQJWLYsLG+A0QjExkrp9u1DWxZvdCodDFdW36+vmBDSIoByAQw4Kz022MqhD3UgpFAAQ4eGtgxEYYSBEEU1pVKaPyiqrV4NZGWFPBDS6aTKh0qVTWOVzWEmk3Q8KSk05fNGptRD/4DB53E1AKupCHitU/AKVV8TJgBjx3rus9mAzz+XaoLCMEAm8icGQkRNkcUCPP+8lH7xRc8Iw5sw6Cwtk9XcAqPTefYRCgsyGVBbp/dQd4qvjUrlfSbRkSODXxaiEGAgRFHNZgO2bJHS99wj1RA1CVYr8OqrUnr+fPbxICLyoal87BM1iNns+uFrMDShQKiJksmkTtOVaQoQLsJHUYQf+0RBolVqsesKV5rqT6cDjh4NdSmiABfhoyjCQIgoSBRyBYZWdsXhEhtERGGBgRARUQCpFCrMa+FKE1F4YSBEFCRWuxVri6X0BLsVKr776s1kAvr3l9IHDoTFYLdaqRVqzG9Z8YDLbRCFHX4UEwWJxW7BlPNSeqzdAtYN1J8QwLFjrjQRUWMxECJqimJigCNHXGkKGYdw4HjFEhvdhAPy0BaHiKpgIERNlhBSU0pNFApg3ToprW5KrRZyOdCjR6hLQQDKrGXoeUZKG6xl0KuahbZAROSBgRA1WSaTa50qX7Zurb66AFHUi4pF+IgkrKWlJkutBlauBFJSQl2SELBYpBml58+X0kT1UbkI34gRnGWUmjz+hVOTpVIBkyfXXOPTZH/sWq3ACy9I6Rkzmli7HxGR//i9RmjRokXo378/mjVrhsTERAwbNgwnTpzwyFNeXo7JkyejZcuWiI2NxfDhw1FYWOiR58yZM8jMzIROp0NiYiJmzJgBm83mkWf37t3o27cvNBoNrrrqKqxfv75aeVatWoWOHTtCq9Vi4MCB2L9/v79fMoU5vd735q8fu8LhgNFU5HOzmosBm9E/F4tiMhnQoYO0cYmNALLZgM2bpa3K5y5RU+P3GqE9e/Zg8uTJ6N+/P2w2G5577jnceuutOHbsGPQVCz8+/fTT2LZtGzZv3oz4+HhMmTIF9957L77++msAgN1uR2ZmJpKTk/HNN9/gt99+wyOPPAKVSoWXX34ZAJCfn4/MzEw88cQT2LhxI3JycvCnP/0Jbdq0QUZGBgDg/fffx/Tp07FmzRoMHDgQr7/+OjIyMnDixAkkJib6+6VTmLHbgS+/lNI33CB1jA4UU/kFxC5J8nl8XRLwUDNga1vpsUbZVKuiAkunA375JdSliAJchI+iiEyIwM7Gcf78eSQmJmLPnj248cYbUVJSgtatW+Odd97BfffdBwD4z3/+g27duiE3NxfXX389duzYgTvuuAPnzp1DUpL05bJmzRrMmjUL58+fh1qtxqxZs7Bt2zYcqRwiDOCBBx5AcXExPvvsMwDAwIED0b9/f6xcuRIA4HA40L59ezz55JN49tlnq5XVbDbDbDY7H5eWlqJ9+/YoKSlBXFxcwO4RBYbR6OosbTAEdgF2o6mo1kBorPuf0EgDoAxkgYL44qlG7n8bhhmF0Osi4EcY/34owpWWliI+Pr5O398BD/NLSkoAAC1aSHPM5+XlwWq1Ij093Zmna9euSElJcQZCubm56NWrlzMIAoCMjAxMnDgRR48eRZ8+fZCbm+txjso806ZNAwBYLBbk5eVh9uzZzuNyuRzp6enIzc31WtZFixbhhcp+FUT1oFFqsCkZMArgnlEnoVR5vvHUCjXgvryCIgKmRCa/UClUeCahIi0stTeRKnRs9yMKooAGQg6HA9OmTcOgQYPQs2dPAEBBQQHUajUSEhI88iYlJaGgoMCZxz0IqjxeeaymPKWlpSgrK8OlS5dgt9u95vnPf/7jtbyzZ8/G9OnTnY8ra4SIaqOUKzGicnoYfZvA1vbUNEGSStWkO0aXlQE33iil9+6NjLki1Qo1lrSuePBxHT5PAl1bWF9Go/Q3VbkCvc0mNZ1VpWMAR5EpoMPnJ0+ejCNHjuC9994L5GX8RqPRIC4uzmMjCjuVEyR525Yvd+WraHpuShwO4OBBaXM4Ql2aKJGUBGzc6Hr8+efe//Zqm72UKEwFrEZoypQp2Lp1K/bu3Yt27do59ycnJ8NisaC4uNijVqiwsBDJycnOPFVHd1WOKnPPU3WkWWFhIeLi4hATEwOFQgGFQuE1T+U5iPzF5rBhy2UpfY/DFrp5KWbOBCZNkvp0zJwJfPBBqEpCFRxyLc7cehQAkBLfHnKZl9+fNiPwL999zMKCe78hoibE7zVCQghMmTIFW7Zswc6dO5Gamupx/LrrroNKpUJOTo5z34kTJ3DmzBmkpaUBANLS0vDjjz+iqKjImSc7OxtxcXHo3r27M4/7OSrzVJ5DrVbjuuuu88jjcDiQk5PjzEPkL2abGSMLgJEFUjpoCgulzqyVm9ns6tjat6+0LxKWaG/CymzlSF3VA6mreqBMyKVmL29bONHpPP+uRo+W/q6EkOaoqtxf5YcmUSTy+w/XyZMn45133sHHH3+MZs2aOfv0xMfHIyYmBvHx8Rg/fjymT5+OFi1aIC4uDk8++STS0tJw/fXXAwBuvfVWdO/eHQ8//DCysrJQUFCAP//5z5g8eTI0FTPgPfHEE1i5ciVmzpyJRx99FDt37sSmTZuwbds2Z1mmT5+OMWPGoF+/fhgwYABef/11GI1GjBs3zt8vmyh4tFpg1y4p3bKl73kBFAqO9gkzRquro7RSrnROoyCEgKmiqU8nBELe00Ym8/23o1RyOD01KX7/a37zzTcBAEOHDvXYv27dOoytmOL3tddeg1wux/Dhw2E2m5GRkYHVq1c78yoUCmzduhUTJ05EWloa9Ho9xowZgwULFjjzpKamYtu2bXj66aexfPlytGvXDn/961+dcwgBwP3334/z589j7ty5KCgowLXXXovPPvusWgdqappUKiAry5VuMhQKoMr7iyJD0quuz55J/SZhVeYqAMAF0wUk/iztN1hN0KsipAmqch2byjRRBAr4PEKRrD7zEFB0i8i5YiJQJE5vY7QYEbvId2BjmG3A+dLTSF3VQ3rMvx+iRgureYSIyM+sVmDtWik9YUITq+6qXatWoS5B/ehUOhhmG6rt92ga07UMdrGIqAIDIWqy7Hbg0CEp3bdvYJfYCCqLBZgyRUqPHRtVgZBeD5w/H+pS1I9MJoNeXXPVlSz0vYIaJpjr2BAFCAMharLKy4EBA6R0pDSjEEWU8nLgppukNN9kFKEYCBH5gVqhxrokV5qIiCIDAyEiP1ApVK5FVRXR01QVbGVlwO23S+kdOyJjiQ0iCm8MhIgoYjgcwJ49rnRToZQrMaaZK01EwcN3HJEf2Bw2fF4xV15GKJfYiCJGt0Xc3bumlJdLfXiByFkHVKPUYH3lyj8VI8mIKDgCuugqUbQw28y44xxwx7kgL7ERxZKSpDmFEqtMuTN8ONcBJaK64w9Xokij0QBbt7rSUU4IV62Pofp0PREh7JbYIIoiDISoyVKpgHnzXOkmQ6kEMjNDXYqQqFwLtCr3prG//z3yJl00WU2IjcQlNprsOjYUTRgIUZOlVgPz54e6FORPNa0FWkmrDU5ZCNKbbMaMUJeCqFEYCBHVQggBk7V6ZxOtUguFXJpJ1+qwBubiNhtgrtLnyGoFNm6UIoLRo/lLnELPved6VSoVF2SlsMZAiJoshwM4flxKd+sGyBs4NMBkNXldNHPXmF0Y2nEoAGDt4XUNLGUttmwBRo70fXzECAZCFDqV69hkZQEffOA9z7x5rJqlsMZAiJqssjKgZ08p3ajZ/4Xwvt9eBtikX8J6hZ/eSjabFPwAwD33+OecRIHivo4NUYRiIEQRSQjX0OiYGFdtj8UitRwBNdfW14vd1SxWmAroK66l3/dHYJ+UniCAsVdKaZ1K1/Brmc2uGiCDQQqGahoKpWvEtZoovd537Ep+5qv3ujuFAjh6VEo3pmqWKEAYCFFEMpmkeWIAID8f6NhRSj//PPDqq4G7rl7uCoTcqWTSBsC/M/gpldJG0cNmdNY0+qQIk5ki69J73Wj0U9UsUWDwE5Yint9qfnxQKVTIqhiOrbrnLKBpXvMTFKylofpRyBW4ryKwV3zSqfapbkcaACUDCiJ/YCBEES8lxZVeuNB7v8zGtCCpFWrMqIx9NM35BRTmysuBhx+W0v/4R2QMp9cqtdjcRkobHdLmjQKAli1LRH7FQIginnuXA7WaI3Wjnd3uGsC0fn1Ii1J3Cp1UywMgdqHvyRT/qAO2XRGsQhFFBwZCRLWwO+w4VC6l+zrsUIS2ONQUyWSsaSQKEQZCRLUot5VjwFkpbbCVQ6+OC22BqEkzzPYxCstmhOJfScEtDFEUYCBEFE7UamDdOleaoo5e7aNmSI7aO1ETUb0xEKKIpFQCkya50k2GSgWMHRvqUlAYMlqMSPyvlC6yGKGPlKY0lQp45hlXmijMNKWvEIoiGg2wapUfTiSEx4SJXtU2pwtRkJgicaJItRpYskRa86aszDXjaVVKpfTGJgoyBkIU3ewmYJPvUToAAB9DmRvNapWmwnZnswGffy5NOpeR0cSquyiqnTkDpKb6Pj5pkp9+3RDVDz9lKSIJAVy4IKVbtQqPSXbrbe1aYMoU38cNBgZCDeC+6gNXICGi2vBTliKSyQQkJkrpxszaL4SAqbLG565T1YYwx6hiAGsZsKRitE5jZo2224Evv5TSN9zQ8PNQjeqy6gOFQEpKzeuSMeinEOFfHkU1k9WE2J8rHrzWqdrxIxOPoHPLzpg3ZB4AQKVsxEiu8nLgppuktMEATJhQc8doVmc0Sk1Lr+jCZKmuqCKX+45Qm0QVL0UqBkJENTBZTVAr1Jg/dL7/T65ScRRNAJjNwOOPAxs2+M5TVAS0bh28MlEt/FXFS9QADIQoqqkUKjyTIKWfe/Qs1FUWVI1RxQS/UNQoNlvNQVCkksvkGBLjShORfzAQoqimVqixpLJmIIYLqjYF7p2lfVEogMmTpfSyZZExajtGFYPd7aS00XoZRuF9OKNcJpcCeAXb/4jqgoEQETUpdeksbTQCq1dL6aysyAiE3HVc0QkX7N6P9dMAB1IgLeLKwJ6oVgyEKOwIIXUZ8MWffYgdwoEzFfO7pQgHVzAgIooyDIQo7JhMQGwNcxxWTq8zZoz0uDGjbsusZUj9peK81jLoVc0adqLaojettmHnJaqk0Em1PAB+sfgYEmczQv5J9dGPEamm9xSH/ZEfMRCiiKTRAOvXh7oUbmqL3vbsAa6/XmqHAThajOpPJnM2dflcZ8xmbDoLs9b0nuLIMvIjBkIUdhQK4L77pPRbb1XvvxGR0+vExEhrLs2YEeqSUBNmsprQPV9KH7OaoIu0PkJjxjDAoaBjIERhR6sFNm/2w4mCuaCqSgXMkyZdxNSpUtDjjk1jFARCCJy2udIRo3Kon3s7d9Xhf0YjkJQU/LJRk8dAiJosYTPC9H71Pj96t6YDi4+RN/WmVgPz5/vpZERRxttQv6r73KuKFYrglY2aPAZC1GR5LJ/hpigVaF3xl//n34NbJgoPMTFAfr4rTRHAb1XFRJ4YCFHYMRpdfSQD0ify7nxAXzGL4mdPA3l/kdJ1XVDVYgGsVs99Dgdw/LhU2G7dpHWVKGzJ5UDHjtJ/ZVmZ73wxMZH7X1lW/jv0atebx2Q1VWsu02lbQRZpL7CmReQUCjZDU70xEKKoUDjtFPQx0lpGOpVr6O2y295A1q2vufbXxfPPA6++6vs4R7REjNr+K48cAXr0CF55/GnIW91xtIPrcf/TwDGLZx7DjELodYnBLVhj1TQ6849/BLZtC15ZqElgIERRQa/Se/w6rqRRaqBBLdMKOxzAmTNSOiUlAKUjIqJQkYmIGloQXKWlpYiPj0dJSQni4uJCXZwmwdscae6VJ+XlQGmpa3BIYypXzOUX8fjqlgCAtyb9Do22RcNOVLWtTqWq3jTmjpO9RQxvrZzuIq1pTDgcMJVfAADIZDKPWs7KpjFj2XkkrewJIEJrhNg0RnVQn+9v1ghRUFWdI02nA4qKXPtuvRX497/rcKKKofHltnLYHT6GftmMWJdUEZMofdT6uEdm7gGM2SwtYw5U/+BVq6sPj6eIVNN/pcUCLFggpZ97LjL+y2Vyuc/AJuLmFPKlpl9GRqPreFERm6ipThgIUcjp9VI8AgCZmXV8kt0EbIrFw78BH1RMNaKTAcarKs75X8AkAMOVgL6myhn3yKyoCGhd0Yl6+nTXqpwUlaxW4IUXpPSMGZERCNWFTCZDh4pPfpndhLKyC3D4WMkeiMAO1ZU/bNx/wMjlnsMDK4+x9pbAQIhCqLCw+g+2Dz8E7G4VPPWZRdokANnJRhTIaJQCIfelyYng+Z2q1bqmsXFvWouU71SdSodfUisefJqK/meAg2bf+SOy+QzwnHxxyBBg927X444dgQsXOLCBADAQIj+qaY1Eb581en31/VotPGaELjf7aPqyGQEH8I8kYP1jp5xrMFUtkM4K6dupXAB6Ub3py/0brlUrV8HKy11NY+4icn0Paiz379T9+4H+/aX08uXAzJlSuil+p7ZSQHqv1WUGdkWERIJGoxQEVaYrVa01Mpmkz6JIiXCpwRgIhcjFixexe/du3HPPPZA1kTeZrzUSW7UCzp+vx4kqmr0AYPivwPYaVskQnQHoEr0HQkYj0NytQO7fVI8/DmzY4Jnf/f9Bo6m+yBlRFTX12w1bbqvYA8Bea1n1pjGbEfikE/RyoOyTTqjpZTpnah9p8P4+DKaqy3JU8tW05x7h9usHHDjgety9O3D6dNOMcMlDVARCq1atwpIlS1BQUIDevXvjjTfewIABA0JSlosXL+K1117D8uXLcfnyZfzwww/o1atXSMpSH75qe2Sy+lWS6HUCGTeb8OVXQFl5GSDz0jehorZHX9duCUYjEF9l6JndHqHfUhQufH2nug9KmjrV1Y+o8s/NvenMapWaz9zPGfLfPW6r2ANAjLfgxW0V+9vPAXt8TDrp3i+vvPx32OU1v+cC3t/I21IdDWE0SkFQZdr9/O4feKw1ahKa/PD5999/H4888gjWrFmDgQMH4vXXX8fmzZtx4sQJJCbW3O7tz+Hz7gGQ3W7H7bffjg8//BB5eXno27dvo87dWN6CnKrv96JCBzpedaHac9tfARw+LA3TNRqBxCRAo7yIvIM26N2e70zbTdDnSEN3h/6v9g/Y8rtOwy6v+OYxl7s6EJlMQI+e0FsBmOHqbQ0AI0YAH3zgecLCQqn/j7dRYc6L8sOM6sd9ZoVKu3YBQ4dK6VWrgClTXMfc+8VpNK41Rt0DprD4M3Rrnh76j9uw58xXXrPpVDEwdpTexJm11N4CgOHpU1Co43yP9ITUh6myltxsM8PmqN5E3aiAytevOvemMW//sYBUS3T0qOtxjx7AsWPVOzxW/QAtK5PmI/PF/bm15Q2LP5Dwx+HzbpYtW4bHHnsM48aNAwCsWbMG27Ztw9/+9jc8++yzAb9+1QBo8uTJeOaZZ/C///0PH374IS7+9iuKzjSv9jy1Wo2EVgnOx0XninxeQ6lUokViiwblvfDbBVw2Opx9Hip1vgrI+UIOXbzUb+bWW4pQ9kwnVwaLDnjZiJ9OAF0X63Gmiwl6AMa/Af3PAJ3e9379VgrgfCfvx7zRalu6fr2OyAS2b6/7k93p9Wz6opBzb4nZutU1SnLjRqDiI6rad6p7wGSzSTG8L2q1NM1VffPa7VJFqosMgFSID+75NxRKh3PUnEdeuxH4d+0rwr/SEpjZAsDWThjhNtLTG8OVrtrgxwuADZer5ymYfAR6ZQfPgEm4AialwvX2FgIQ1hjIZdJJLXYLrA7X5FEKBaDVABAATJfhsMRAXlYGvQawyAGr2/quDo0NclPF56vJCO2pY1BoAKQkeeR1XHEFzN8cQkxl7eGtt0Cb9wMUFb/XrHLAUpFXNG+B8u+Ou/IOGwbNl7lQeskLAKZjp6BrqXf+MLRbNFDIpD8Qm8MGs73iP12nl+KxGLjymtVQyFXV88ZIwZVeB+mPxm7zyGt32FFuL/ed16KCQqaunlcrTcSl10GK9G1Wj7wO4UCZrQyJKZW990OjSdcIWSwW6HQ6fPDBBxg2bJhz/5gxY1BcXIyPP/7YI7/ZbIbZ7ZOjpKQEKSkpOHv2bL1rhEpKSvDGG29gzZo1HgFQZS3UoUOHcN111wFjASRXf/4tOuCDNq7HyaeAMh//U4NigO1tXY9TfwEu+vjBdY0sBj8sKgAAnFuZjIEFZTjrpU8wAHRRA/vbS2mjANqe8p6vvRI44jaV/9D/AYcr319WoGBpxWv4f0CMFsjvKD0uu/1HOB5+FNh/AN7olVrgdIErgLnvPiA7u3rG//7XNewdcDWNueOvKAoAb5ULVZvGiouBq66q/txNm4CMDCm9dq00RN+Xc+ek4GjLFmDsWN/5Vq8GRo+W0p9/Dowc6TvvkiXAhAlS+ssvgTvu8J13wQKpGRAA8vKA//u/yiMCMWrpBgiFGZDbMfVJV94TPwHDhxlx5JXezmksHikEPq4hEDpX8UOp8vNGC6DcS76fO1Z05gbw/y4Afy3xfc4fOsA5ZcCffwfeKPad99v2QLeKoG/RRWDxJd95d7YDrqsIuJYXA3NrWMR5a1vghooKp7UlwIzqFexOm9oAGRUVShsvA5N8/7bF+iTgnorKqy0GYGyh77yrE4HRzaT05yZg5G++8y5pBUyIl9JflgF3nPOdd0FLYGqClM4zA//3P995n20OzK74LX7cAlx/FiiZXcN/XgOVlpaiffv2KC4uRnx8fM2ZRRP266+/CgDim2++8dg/Y8YMMWDAgGr5582bJyD9LvDb1rp1a/Hjjz9Wu1ZeXp7fr8WNGzdu3Lhxc21nz56tNVZo8k1j9TF79mxMnz7d+djhcODixYto2bJlvUd2udcIDRw4sFqNUKXt27dj0KBBfil/U1UZ2TekZi7a8F7VHe9V3fFe1Q/vV90F6l4JIXD58mW0bdu21rxNOhBq1aoVFAoFCgs96woLCwuRnFy9PUqj0UBTpd9IQkJCg64dFxeHrKwsPPvss84+QqtWrXIGRJX0ej3fKHUUFxfHe1VHvFd1x3tVd7xX9cP7VXeBuFe1NolViKB50+tPrVbjuuuuQ05OjnOfw+FATk4O0tLSglKGFi1a4MUXX8Qvv/yC6dOnY82aNUhNTcXLL78clOsTERGRb006EAKA6dOn4y9/+Qs2bNiA48ePY+LEiTAajc5RZMFSNSD6d8XKoqrKYRtEREQUdE26aQwA7r//fpw/fx5z585FQUEBrr32Wnz22WdISqp9yGcgVAZEkyZNwrRp09CnT5+QlCOSaDQazJs3r1qzJVXHe1V3vFd1x3tVP7xfdRcO96pJD58nIiIiqkmTbxojIiIi8oWBEBEREUUtBkJEREQUtRgIERERUdRiIBQCq1atQseOHaHVajFw4EDs378/1EUKuUWLFqF///5o1qwZEhMTMWzYMJw4ccIjT3l5OSZPnoyWLVsiNjYWw4cPrzZZZjRavHgxZDIZpk2b5tzHe+Xp119/xUMPPYSWLVsiJiYGvXr1wsGDB53HhRCYO3cu2rRpg5iYGKSnp+PkyZMhLHFo2O12zJkzB6mpqYiJicGVV16JF198Ee5jaqL1Xu3duxd33nkn2rZtC5lMho8++sjjeF3uy8WLFzF69GjExcUhISEB48ePh8FQw8JrEaqme2W1WjFr1iz06tULer0ebdu2xSOPPIJz5zwXMwvmvWIgFGTvv/8+pk+fjnnz5uHQoUPo3bs3MjIyUFRUw6p6UWDPnj2YPHkyvv32W2RnZ8NqteLWW2+F0Wh05nn66afx6aefYvPmzdizZw/OnTuHe++9N4SlDr0DBw7grbfewjXXXOOxn/fK5dKlSxg0aBBUKhV27NiBY8eOYenSpWjevLkzT1ZWFlasWIE1a9Zg37590Ov1yMjIQHm5t+U+m65XXnkFb775JlauXInjx4/jlVdeQVZWFt544w1nnmi9V0ajEb1798aqVau8Hq/LfRk9ejSOHj2K7OxsbN26FXv37sWEypVvm5Ca7pXJZMKhQ4cwZ84cHDp0CP/6179w4sQJ3HXXXR75gnqvGrCWKTXCgAEDxOTJk52P7Xa7aNu2rVi0aFEISxV+ioqKBACxZ88eIYQQxcXFQqVSic2bNzvzHD9+XAAQubm5oSpmSF2+fFl07txZZGdniyFDhoipU6cKIXivqpo1a5YYPHiwz+MOh0MkJyeLJUuWOPcVFxcLjUYj3n333WAUMWxkZmaKRx991GPfvffeK0aPHi2E4L2qBEBs2bLF+bgu9+XYsWMCgDhw4IAzz44dO4RMJhO//vpr0MoebFXvlTf79+8XAMTp06eFEMG/V6wRCiKLxYK8vDykp6c798nlcqSnpyM3NzeEJQs/JSUlAKQJKAEgLy8PVqvV49517doVKSkpUXvvJk+ejMzMTI97AvBeVfXJJ5+gX79+GDFiBBITE9GnTx/85S9/cR7Pz89HQUGBx/2Kj4/HwIEDo+5+/eEPf0BOTg5++uknAMD333+Pr776CrfffjsA3itf6nJfcnNzkZCQgH79+jnzpKenQy6XY9++fUEvczgpKSmBTCZzru0Z7HvV5GeWDicXLlyA3W6vNqt1UlIS/vOf/4SoVOHH4XBg2rRpGDRoEHr27AkAKCgogFqtrrYIblJSEgoKCkJQytB67733cOjQIRw4cKDaMd4rT6dOncKbb76J6dOn47nnnsOBAwfw1FNPQa1WY8yYMc574u19GW3369lnn0VpaSm6du0KhUIBu92OhQsXYvTo0QDAe+VDXe5LQUEBEhMTPY4rlUq0aNEiqu9deXk5Zs2ahVGjRjkXXQ32vWIgRGFn8uTJOHLkCL766qtQFyUsnT17FlOnTkV2dja0Wm2oixP2HA4H+vXr51zouE+fPjhy5AjWrFmDMWPGhLh04WXTpk3YuHEj3nnnHfTo0QPfffcdpk2bhrZt2/Jekd9ZrVaMHDkSQgi8+eabISsHm8aCqFWrVlAoFNVG7xQWFiI5OTlEpQovU6ZMwdatW7Fr1y60a9fOuT85ORkWiwXFxcUe+aPx3uXl5aGoqAh9+/aFUqmEUqnEnj17sGLFCiiVSiQlJfFeuWnTpg26d+/usa9bt244c+YMADjvCd+XwIwZM/Dss8/igQceQK9evfDwww/j6aefxqJFiwDwXvlSl/uSnJxcbVCMzWbDxYsXo/LeVQZBp0+fRnZ2trM2CAj+vWIgFERqtRrXXXcdcnJynPscDgdycnKQlpYWwpKFnhACU6ZMwZYtW7Bz506kpqZ6HL/uuuugUqk87t2JEydw5syZqLt3N998M3788Ud89913zq1fv34YPXq0M8175TJo0KBqUzH89NNP6NChAwAgNTUVycnJHvertLQU+/bti7r7ZTKZIJd7fi0oFAo4HA4AvFe+1OW+pKWlobi4GHl5ec48O3fuhMPhwMCBA4Ne5lCqDIJOnjyJL774Ai1btvQ4HvR75ffu11Sj9957T2g0GrF+/Xpx7NgxMWHCBJGQkCAKCgpCXbSQmjhxooiPjxe7d+8Wv/32m3MzmUzOPE888YRISUkRO3fuFAcPHhRpaWkiLS0thKUOH+6jxoTgvXK3f/9+oVQqxcKFC8XJkyfFxo0bhU6nE//85z+deRYvXiwSEhLExx9/LH744Qdx9913i9TUVFFWVhbCkgffmDFjxBVXXCG2bt0q8vPzxb/+9S/RqlUrMXPmTGeeaL1Xly9fFocPHxaHDx8WAMSyZcvE4cOHnSOd6nJfbrvtNtGnTx+xb98+8dVXX4nOnTuLUaNGheolBUxN98pisYi77rpLtGvXTnz33Xcen/dms9l5jmDeKwZCIfDGG2+IlJQUoVarxYABA8S3334b6iKFHACv27p165x5ysrKxKRJk0Tz5s2FTqcT99xzj/jtt99CV+gwUjUQ4r3y9Omnn4qePXsKjUYjunbtKtauXetx3OFwiDlz5oikpCSh0WjEzTffLE6cOBGi0oZOaWmpmDp1qkhJSRFarVZ06tRJPP/88x5fUNF6r3bt2uX1M2rMmDFCiLrdl99//12MGjVKxMbGiri4ODFu3Dhx+fLlELyawKrpXuXn5/v8vN+1a5fzHMG8VzIh3KYMJSIiIooi7CNEREREUYuBEBEREUUtBkJEREQUtRgIERERUdRiIERERERRi4EQERERRS0GQkRERBS1GAgRERFR1GIgRERRRyaT4aOPPgp1MYgoDDAQIqKIk5ubC4VCgczMzAY9/7fffsPtt9/e4Otv3rwZXbt2hVarRa9evbB9+/YGn4uIQouBEBFFnLfffhtPPvkk9u7di3PnztX7+cnJydBoNA269jfffINRo0Zh/PjxOHz4MIYNG4Zhw4bhyJEjDTofEYUWAyEiiigGgwHvv/8+Jk6ciMzMTKxfv97j+IIFC9C2bVv8/vvvzn2ZmZm46aab4HA4AHg2jVksFkyZMgVt2rSBVqtFhw4dsGjRIp/XX758OW677TbMmDED3bp1w4svvoi+ffti5cqVfn+tRBR4DISIKKJs2rQJXbt2RZcuXfDQQw/hb3/7G9zXjn7++efRsWNH/OlPfwIArFq1Ct988w02bNgAubz6R96KFSvwySefYNOmTThx4gQ2btyIjh07+rx+bm4u0tPTPfZlZGQgNzfXPy+QiIJKGeoCEBHVx9tvv42HHnoIAHDbbbehpKQEe/bswdChQwEACoUC//znP3Httdfi2WefxYoVK/DXv/4VKSkpXs935swZdO7cGYMHD4ZMJkOHDh1qvH5BQQGSkpI89iUlJaGgoKDxL46Igo41QkQUMU6cOIH9+/dj1KhRAAClUon7778fb7/9tke+Tp064dVXX8Urr7yCu+66Cw8++KDPc44dOxbfffcdunTpgqeeegr//ve/A/oaiCi8sEaIiCLG22+/DZvNhrZt2zr3CSGg0WiwcuVKxMfHO/fv3bsXCoUCv/zyC2w2G5RK7x93ffv2RX5+Pnbs2IEvvvgCI0eORHp6Oj744AOv+ZOTk1FYWOixr7CwEMnJyX54hUQUbKwRIqKIYLPZ8Pe//x1Lly7Fd99959y+//57tG3bFu+++64z7/vvv49//etf2L17N86cOYMXX3yxxnPHxcXh/vvvx1/+8he8//77+PDDD3Hx4kWvedPS0pCTk+OxLzs7G2lpaY1/kUQUdKwRIqKIsHXrVly6dAnjx4/3qPkBgOHDh+Ptt9/GE088gf/973+YOHEiXnnlFQwePBjr1q3DHXfcgdtvvx3XX399tfMuW7YMbdq0QZ8+fSCXy7F582YkJycjISHBazmmTp2KIUOGYOnSpcjMzMR7772HgwcPYu3atYF42UQUYKwRIqKI8PbbbyM9Pb1aEARIgdDBgwfx/fffY+zYsRgwYACmTJkCQBrRNXHiRDz00EMwGAzVntusWTNkZWWhX79+6N+/P3755Rds377d6wgzAPjDH/6Ad955B2vXrkXv3r3xwQcf4KOPPkLPnj39+4KJKChkwn3cKREREVEUYY0QERERRS0GQkRERBS1GAgRERFR1GIgRERERFGLgRARERFFLQZCREREFLUYCBEREVHUYiBEREREUYuBEBEREUUtBkJEREQUtRgIERERUdT6/+cy7qOUCB8eAAAAAElFTkSuQmCC", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# 2 check\n", | |
"templates = [hists[1], hists[3]]\n", | |
"out = moment_morph(templates, params=[40, 60], param_interp=50)\n", | |
"hep.histplot(templates, color=['blue', 'red'], ls=\"--\", label=[40, 60])\n", | |
"hep.histplot(out, color='orange', label=\"Interpolation\")\n", | |
"hep.histplot(hists[2], color='green', label=\"Reference\", ls='--')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 38, | |
"id": "3922edf8-1379-4a60-ab01-8541adcaad8e", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# n check\n", | |
"templates = [*hists[:2], *hists[3:]]\n", | |
"params = [30, 40, 60, 70]\n", | |
"out = moment_morph(templates, params=params, param_interp=50)\n", | |
"hep.histplot(templates, ls=\"--\", label=params)\n", | |
"hep.histplot(out, color='fuchsia', label=\"Interpolation\")\n", | |
"hep.histplot(hists[2], color='teal', label=\"Reference\", ls='--')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 41, | |
"id": "3e970615-2205-446b-bfff-364766183f6f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# n check\n", | |
"interp = 35\n", | |
"templates = hists\n", | |
"params = [30, 40, 50, 60, 70]\n", | |
"out = moment_morph(templates, params=params, param_interp=interp)\n", | |
"hep.histplot(templates, ls=\"--\", label=params)\n", | |
"hep.histplot(out, color='fuchsia', label=f\"Interpolation ({interp})\")\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "9a584252-f72b-4e0c-8183-814a1cbb3761", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "5cca845f-c891-4152-bf89-ff303b218cb9", | |
"metadata": {}, | |
"source": [ | |
"# Uproot tests" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 45, | |
"id": "1ef0ce4f-15d7-458c-8d55-bdbe2929602a", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import uproot\n", | |
"f = uproot.open('TEMPLATES.root')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 54, | |
"id": "bb218634-91ce-498e-b091-f7a51c53cd30", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"params = [50, 75, 100, 125, 150, 200, 250]\n", | |
"smp = 'zpqq'\n", | |
"ptbin = 0\n", | |
"region = \"fail\"\n", | |
"# region = \"pass_lowbvl\"\n", | |
"h1 = f[f\"SR_{smp}75_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n", | |
"h2 = f[f\"SR_{smp}150_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n", | |
"hr = f[f\"SR_{smp}125_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n", | |
"out = moment_morph([h1, h2], params=[75, 150], param_interp=125)\n", | |
"hep.histplot([h1, h2], label=[\"Ref1 (75)\", \"Ref2 (150)\"]);\n", | |
"hep.histplot(hr, zorder=3, ls='--', label='Referece (125)')\n", | |
"hep.histplot(out, zorder=3, ls=':', label='Interpolation (125)')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "05412fea-482b-452e-97ff-086fee3c30d1", | |
"metadata": {}, | |
"source": [ | |
"## Multiple template interp looks a bit unsafe" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 55, | |
"id": "682162e7-9355-40fd-9f87-48b27a1e16c1", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"params = [50, 75, 100, 150, 200, 250]\n", | |
"smp = 'zpqq'\n", | |
"ptbin = 0\n", | |
"region = \"fail\"\n", | |
"# region = \"pass_lowbvl\"\n", | |
"hs = [f[f\"SR_{smp}{p}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist() for p in params]\n", | |
"hr = f[f\"SR_{smp}125_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n", | |
"out = moment_morph(hs, params=params, param_interp=125)\n", | |
"hep.histplot(hs, label=[f\"Ref ({p})\" for p in params], ls=\"--\");\n", | |
"hep.histplot(hr, zorder=3, ls='--', label='Referece (125)')\n", | |
"hep.histplot(out, zorder=3, label='Interpolation (125)')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 61, | |
"id": "8de1aa90-c5f9-4e4d-833b-637824203854", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fbffe78ba60>" | |
] | |
}, | |
"execution_count": 61, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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52pjKhm8fLtinmhpCCNF55513mvyaFfPxtAQUzBBCCNFLLrXAjaURpi5Gs2kDvS5aLeoATMza/mf3868PTTiEQxMOCdJL1CUI3BiIwI2BKFGbdlInQgghxkE1M8SsySxkel8TQghpO6hmhhBCCCFmjYIZQgghhJg1CmYIIYQQYtYomCGEEEKIWaNghhBCiH6qYmCBvW5TFZu6NKSBHjx4ADc3N9y4caNJr/v8889j1apVTXrNhqJghhBCSIuhUCgwffp0+Pn5wdLSEt7e3hgzZgySkpJMXbQWZdKkSQYvu7B48WJERkbCx8cHABAfHw+O4/Ru9+7dAwAcOnRIb7pCoeCvO2/ePCxevBgFBQVN/fbqjYZmE7Mms5AhLSaN3688l0zV5Q0q79NSB4S0PDdu3MDgwYPh4OCAFStWIDAwEGq1GgcOHEBsbCwuX75s6iKanZKSEqxfvx4HDhzgj02cOBGjRo0S5Js0aRLKysrg5uYmOJ6ZmSlYE6lyes+ePdGpUyf88MMPiI2NNdI7MAzVzJBWa/j24YIlDoZvH47gzcEI3hxcLdAhhJjem2++CY7jcOrUKYwbNw5du3ZFjx49MGPGDJw4cYLPl52djcjISNjY2MDOzg4TJkxAbm4un75gwQL06dMHGzZsQIcOHWBjY4M333wTGo0Gy5cvh4eHB9zc3LB48WLB/TmOw9q1azF69GjIZDL4+fnhp59+EuRJS0vDU089BZlMBmdnZ0ydOhVFRUV8ekWNycqVK+Hp6QlnZ2fExsZCrVbzeZRKJWbNmoV27drB2toawcHBOHToEJ8eHx8PBwcHHDhwAN26dYONjQ1GjRqFnJwc/v1t3LgRe/bs4WtMKp9f2b59+2BpaYknnniCPyaTyeDh4cFvYrEYv/32GyZPnlztfDc3N0HeqgtVjhkzBlu3btV77+ZEwQwhhBCTy8vLQ0JCAmJjY2FtbV0t3cHBAQCg1WoRGRmJvLw8HD58GImJibh+/TomTpwoyH/t2jXs378fCQkJ2LJlC9avX4+IiAjcvn0bhw8fxrJlyzBv3jycPHlScN6HH36IcePG4fz584iKisLzzz+PjIwMAEBxcTHCw8Ph6OiI06dPY8eOHTh48CCmTZsmuEZycjKuXbuG5ORkbNy4EfHx8YiPj+fTp02bhpSUFGzduhUXLlzA+PHjMWrUKFy5coXPU1JSgpUrV+L777/HkSNHkJ2djVmzZgEAZs2ahQkTJvABTk5ODgYNGqT3uR49ehT9+vWr9dlv2rQJcrkczz33XLW0Pn36wNPTE08//TSOHTtWLX3gwIE4deoUlEplrfcwOtYGFBQUMACsoKDA1EUhTaBYVcx6xvdkPeN7smJVsSBNq9WyYlUxv90vuc/nvVV4q8bzCGktSktL2aVLl1hpaenjg1otY8qi2rdH96pvD24wNt9Otz24oT9PXdfVag0q98mTJxkAtnPnzlrz/frrr0wsFrPs7Gz+2MWLFxkAdurUKcYYY/Pnz2dyuZwVFhbyecLDw5mPjw/TaDT8MX9/f7ZkyRJ+HwB7/fXXBfcLDg5mb7zxBmOMsW+//ZY5OjqyoqIiPn3v3r1MJBIxhULBGGMsJiaGdezYkZWXl/N5xo8fzyZOnMgYY+zmzZtMLBazO3fuCO4zYsQINnfuXMYYY3FxcQwAu3r1Kp++Zs0a5u7uzu/HxMSwyMjIWp8VY4xFRkayV199tdY83bp1499jhcuXL7N169axM2fOsGPHjrFXXnmFWVhYsLNnzwrynT9/ngFgN27cqLMsNdH7mf2bod/f1GeGtCocx9W4UjYtd0DaLHUJ8KlX467xZa+GnffBXUBavaalKmbgIo8ZGRnw9vaGt7c3f6x79+5wcHBARkYGBgwYAADw8fGBra0tn8fd3R1isVjQTOLu7s53eK0QEhJSbT81NZW/d+/evQU1R4MHD4ZWq0VmZibc3d0BAD169IBYLObzeHp6Ii1N17cvLS0NGo0GXbt2FdxHqVTC2dmZ35fL5ejUqZPgGlXLaojS0lJYWVnVmJ6SkoKMjAx8//33guP+/v7w9/fn9wcNGoRr167h3//+tyCvTKb7d7WkxLRr31EwQwghxOS6dOkCjuOarJOvRCIR7HMcp/eYVqttkvvVde+K+xQVFUEsFuPs2bOCgAcAbGxsar2GoQFfZS4uLnj48GGN6d999x369OlTZ1MUoGtS+v333wXH8vLyAACurq71LltTomCGEEJaO4lcV0NSG5WeX9aqksc1Mm9dAKR6aj31Hat6bwM4OTkhPDwca9aswVtvvVWt30x+fj4cHBzQrVs33Lp1C7du3eJrZy5duoT8/Hx0797doHvV5sSJE4iOjhbsBwUFAQC6deuG+Ph4FBcX8+U7duwYRCKRoBajNkFBQdBoNLh37x6GDBnS4HJKpVJoNBqD7vfDDz/oTSsqKsL27duxZMkSg+6ZmpoKT09PwbH09HS0b98eLi4uBl3DWKgDMGnxStQlCNwYiMCNgYKh14QQA3Gcrqmnts3GVc9W6QvKxkV/nrquW48pENasWQONRoOBAwfi559/xpUrV5CRkYEvv/ySb/4JCwtDYGAgoqKicO7cOZw6dQrR0dEYNmwY+vfv3+hHtWPHDmzYsAF//vkn5s+fj1OnTvEdfKOiomBlZYWYmBikp6cjOTkZ06dPx8svv8w3MdWla9euiIqKQnR0NHbu3ImsrCycOnUKS5Yswd69ew0up4+PDy5cuIDMzEzcv39fMFqqsvDwcFy8eFFv7cy2bdtQXl6Ol156qVra559/jj179uDq1atIT0/HO++8g99++63aEOyjR49i5MiRBpfbWCiYIYQQ0iL4+fnh3LlzCA0NxcyZM9GzZ088/fTTSEpKwtq1awHomlv27NkDR0dHDB06FGFhYfDz88O2bduapAwff/wxtm7dil69emHTpk3YsmULX+Mjl8tx4MAB5OXlYcCAAXjuuecwYsQIrF69ul73iIuLQ3R0NGbOnAl/f3+MHTsWp0+fRocOHQy+xpQpU+Dv74/+/fvD1dVV70gjAAgMDETfvn2xffv2amnr16/Hs88+y48Uq0ylUmHmzJkIDAzEsGHDcP78eRw8eBAjRozg85SVlWH37t2YMmWKweU2Fo41pBHOzBQWFsLe3h4FBQWCyX+IeShRlyB4czAA4OSLumGUlfdr6vBb9dxDEw7x887UdR4h5qqsrAxZWVnw9fWtteOnQVTFjzsOG9iR15xxHIddu3YZPLOuudi7dy9mz56N9PT0avPENMbatWuxa9cu/Prrr426Tm2fWUO/v6nPDGnV5BI5P0MwNVERQtqiiIgIXLlyBXfu3BGMAmssiUSCr776qsmu1xgUzBBCCCGt3DvvvNPk13zttdea/JoNRcEMIYQQ/aTWwALTLyLYXNpAr4tWizoAE0IIIcSsNTiYOXLkCMaMGQMvLy9wHIfdu3cL0hlj+Oijj+Dp6QmZTIawsDDBuhOAbrKdqKgo2NnZwcHBAZMnTxYs2AUAFy5cwJAhQ2BlZQVvb28sX768oUUmZoIxhhJ1Cb9VXhSytLyUFokkhBAi0OBmpuLiYvTu3Ruvvvoqnn322Wrpy5cvx5dffomNGzfC19cXH374IcLDw3Hp0iW+t3JUVBRycnKQmJgItVqNV155BVOnTsXmzZsB6Hoxjxw5EmFhYVi3bh3S0tLw6quvwsHBAVOnTm1o0UkLV1peyo9AqqryKtiEEEII0IhgZvTo0Rg9erTeNMYYPv/8c8ybNw+RkZEAdKtyuru7Y/fu3fwqpAkJCTh9+jQ/0dFXX32Ff/zjH1i5ciW8vLzw448/QqVSYcOGDZBKpejRowdSU1Px2WefUTBDCCGEEABG6jOTlZUFhUKBsLAw/pi9vT2Cg4ORkpICQLe4lYODg2DGxrCwMIhEIn5J9pSUFAwdOhRSqZTPEx4ejszMzFrXmlAqlSgsLBRsxDwdmnAIhyYcEuyffPEkv9HikYQQQowSzCgUCgCoNr2zu7s7n6ZQKODm5iZIt7CwgJOTkyCPvmtUvoc+S5Ysgb29Pb815bh60rxkFjJBwCKzkEEukfMbV4+p0ls6rUqD2+8fxe33j0KrqnvNFUIIITqtcjTT3LlzUVBQwG+3bt0ydZEIIcTs0LporcODBw/g5uaGGzduNPu9n3jiCfz8889Gv49RghkPDw8AQG5uruB4bm4un+bh4YF79+4J0svLy5GXlyfIo+8ale+hj6WlJezs7AQbIYSQlk+hUGD69Onw8/ODpaUlvL29MWbMGCQlJZm6aC3KpEmTDF52YfHixYiMjISPjw9/7K233kK/fv1gaWmJPn366D3PkNHEO3bsQEBAAKysrBAYGIh9+/YJ0ufNm4f3338fWq3W0LfWIEYJZnx9feHh4SH48BUWFuLkyZP8yqchISHIz8/H2bNn+Ty//fYbtFotgoOD+TxHjhwRrAaamJgIf39/ODo6GqPohBBCTOTGjRvo168ffvvtN6xYsQJpaWlISEhAaGhotdWaiWFKSkqwfv16TJ48uVraq6++iokTJ+o9r2I0cceOHXH27FmsWLECCxYswLfffsvnOX78OF544QVMnjwZf/zxB8aOHYuxY8ciPT2dzzN69Gg8evQI+/fvb/o3VxlroEePHrE//viD/fHHHwwA++yzz9gff/zBbt68yRhjbOnSpczBwYHt2bOHXbhwgUVGRjJfX19WWlrKX2PUqFEsKCiInTx5kv3++++sS5cu7IUXXuDT8/Pzmbu7O3v55ZdZeno627p1K5PL5eybb76pV1kLCgoYAFZQUNDQt0uaUbGqmPWM78l6xvdkxariavtNdd2WRqMsZ7fmHGG35hxhGmW5qYtDzFRpaSm7dOmS4N/ahmruv5nRo0ezdu3asaKiomppDx8+5F/fvHmTPfPMM8za2prZ2tqy8ePHM4VCwafPnz+f9e7dm61fv555e3sza2tr9sYbb7Dy8nK2bNky5u7uzlxdXdknn3wiuAcA9vXXX7NRo0YxKysr5uvry3bs2CHIc+HCBRYaGsqsrKyYk5MTmzJlCnv06BGfHhMTwyIjI9mKFSuYh4cHc3JyYm+++SZTqVR8nrKyMjZz5kzm5eXF5HI5GzhwIEtOTubT4+LimL29PUtISGABAQHM2tqahYeHs7t37/LvD4Bgq3x+ZTt27GCurq41PvOKZ1XV119/zRwdHZlSqeSPzZkzh/n7+/P7EyZMYBEREYLzgoOD2b/+9S/BsVdeeYW99NJLNZahts+sod/fDa6ZOXPmDIKCghAUFAQAmDFjBoKCgvDRRx8BAN577z1Mnz4dU6dOxYABA1BUVISEhATBipg//vgjAgICMGLECPzjH//Ak08+KYj67O3t8euvvyIrKwv9+vXDzJkz8dFHH9GwbEIIaWXy8vKQkJCA2NhYWFtXX53bwcEBAKDVahEZGYm8vDwcPnwYiYmJuH79erUahmvXrmH//v1ISEjAli1bsH79ekREROD27ds4fPgwli1bhnnz5vGjZyt8+OGHGDduHM6fP4+oqCh+KhFAN79aeHg4HB0dcfr0aezYsQMHDx7EtGnTBNdITk7GtWvXkJycjI0bNyI+Ph7x8fF8+rRp05CSkoKtW7fiwoULGD9+PEaNGiWYWLakpAQrV67E999/jyNHjiA7OxuzZs0CAMyaNQsTJkzAqFGjkJOTg5ycHAwaNEjvcz169Cj69etn2P+ESgwZTZySkiIYtVyRp2LUcoWBAwfi6NGj9S5DfTR4npnhw4fXuo4Fx3FYuHAhFi5cWGMeJycnfoK8mvTq1cvoD4G0bJVXvm4rWLkWkIpNXQzSSjDG6pw5W1965WN5ZXl689Q1PYLMQmbQqMOrV6+CMYaAgIBa8yUlJSEtLQ1ZWVn8SNVNmzahR48eOH36NAYMGABAF/Rs2LABtra26N69O0JDQ5GZmYl9+/ZBJBLB398fy5YtQ3JyMt+1AQDGjx/PL6C4aNEiJCYm4quvvsLXX3+NzZs3o6ysDJs2beIDrtWrV2PMmDFYtmwZP9rW0dERq1evhlgsRkBAACIiIpCUlIQpU6YgOzsbcXFxyM7OhpeXFwBdcJKQkIC4uDh8+umnAAC1Wo1169ahU6dOAHQBUMX3qY2NDWQyGZRKZa39RwHg5s2b/H3qQ6FQwNfXV3Cs8mhiR0fHGkccVx1t7OXlhVu3bkGr1UIkMs64I1pokpAWqGB/FpzGdTV1MUgrUdus2oYavVP/JKl1OfniScgl8jrz1fbjuLKMjAx4e3sLptzo3r07HBwckJGRwQczPj4+sLW15fO4u7tDLBYLvkzd3d2rDUSp6NdZeT81NZW/d+/evQU1R4MHD4ZWq0VmZib/xd6jRw+IxY9/jHh6eiItTfeDLC0tDRqNBl27Cv++lUolnJ2d+X25XM4HMhXXqFpWQ5SWlgpaRExBJpNBq9VCqVRCJjPO3GAUzBBiQowxsDLdnDINb/QlxPx16dIFHMfh8uXLTXI9iUQi2Oc4Tu8xY4yyqe0+RUVFEIvFOHv2rCDgAXQ1LrVdw9CArzIXF5daJ5mtiSGjiWvKU7W2KC8vD9bW1kYLZAAKZggxKabW4u7HuvZlj3mPfznbj/aFVqXB3QW6NK8FIRBRsxNpIJmFDCdfPFlrnpqamSpqZPY/u19vk5IhzUyGcHJyQnh4ONasWYO33nqrWr+Z/Px8ODg4oFu3brh16xZu3brF185cunQJ+fn56N69u0H3qs2JEycQHR0t2K/oG9qtWzfEx8ejuLiYL9+xY8f4ZitDBAUFQaPR4N69exgyZEiDyymVSqHR1D25ZlBQEH744Yd6Xz8kJAT/93//B7VazQdWVUcTh4SEICkpCe+88w5/XmJiYrXarfT0dP4ZGgv9FiSkBeIs/v7T1DLdRkgjcBwnmDlb3+Ysc662OVk58ddwsnLSm6eu69Znlu41a9ZAo9Fg4MCB+Pnnn3HlyhVkZGTgyy+/5L8gw8LCEBgYiKioKJw7dw6nTp1CdHQ0hg0bJlgep6F27NiBDRs24M8//8T8+fNx6tQpvoNvVFQUrKysEBMTg/T0dCQnJ2P69Ol4+eWXq/UdqUnXrl0RFRWF6Oho7Ny5E1lZWTh16hSWLFmCvXv3GlxOHx8fXLhwAZmZmbh//75gCpPKwsPDcfHixWq1M1evXkVqaioUCgVKS0uRmpqK1NRUqFQqAMCLL74IqVSKyZMn4+LFi9i2bRu++OILzJgxg7/G22+/jYSEBKxatQqXL1/GggULcObMmWodoo8ePYqRI0ca/N4agoIZQkyIk4jQbvFgtFs8GJxE+OfIWYjgOXcgPOcOfBzcENKK+fn54dy5cwgNDcXMmTPRs2dPPP3000hKSsLatWsB6AKzPXv2wNHREUOHDkVYWBj8/Pywbdu2JinDxx9/jK1bt6JXr17YtGkTtmzZwtf4yOVyHDhwAHl5eRgwYACee+45jBgxAqtXr67XPeLi4hAdHY2ZM2fC398fY8eOxenTp9GhQweDrzFlyhT4+/ujf//+cHV1xbFjx/TmCwwMRN++fbF9+3bB8ddeew1BQUH45ptv8Oeff/Kjk+/evQvAsNHEgwYNwubNm/Htt9+id+/e+Omnn7B792707NmTz3Pnzh0cP34cr7zySn0eUb1xrCGNcGamsLAQ9vb2KCgooNmAzUCJuoTvrGho50FTXrcqrUqDux8dBwB4LRxkcPNQQ88jpLKysjJkZWXB19e30R0/m+tvpqXgOA67du0yeGZdc7F3717Mnj0b6enpRhtNVJM5c+bg4cOHgmlXqqrtM2vo9zf1mSGEEEJasYiICFy5cgV37txp9oWX3dzcBE1TxkLBDCEmxMq1KPj1BgDAdrh3tbSiY7oqX5vBXtTURJpdW5zjqbWq3Em3Oc2cObNZ7kPBDCEmxLQMRUfuAADswjqi/dLHoxu0Kg0K9mcBAKxDPGF4N0pCSEO0gV4XrRYFM4SYECfiYDO0Hf+6apq8r5veNEIIIY9RMENIIzHGwNT6J95iai0qUjiJqNowVc5CBId/+Ok9l7MQwWmCYXNXEEJIW0bBDCGNxNRafhSShbMV3N7uy6flbb0M5ZV8ALoRShyNUCKEkCZHPQoJaSTOQgTX13vBqpsTqja5My2DhZsMjs91BSeu3lTEGAPTaHUbtdcTQkiDUM0MIY3EiThY+thD4mVTLc35xW7gJKIa54ypXKtTteZGq9Ig51PdFPSeHwTTvDOEEFIDCmYIaSIVwYZW9Xi9lNoCGUNULEJJCCGkZtTMREgjMQ1DyYW/UHLhLzCNsKmIaRlUd4ugulsEpmeNJU4igtf8EHjND9G7nIH7rP5wn9Wf5pghJqEtKUFGQDdkBHSDtqTE1MUhDfTgwQO4ubnhxo0bzX7vJ554Aj///LPR70P/QhLSSEyjRd7my8jbfBlMIxzVxMq1uPflH7j35R9g5dVHPHEcB5HMAiKZRfWRTiIOEhcZJC4yGppN2gyFQoHp06fDz88PlpaW8Pb2xpgxY5CUlGTqorUokyZNMnjZhcWLFyMyMhI+Pj78sbfeegv9+vWDpaUl+vTpU+2cGzdugOO4atuJEycE+Xbs2IGAgABYWVkhMDAQ+/btE6TPmzcP77//PrRa/SM+mwoFM4Q0EscBUl97SH3toW+BYJGdFCI7afMXjBAzc+PGDfTr1w+//fYbVqxYgbS0NCQkJCA0NBSxsbGmLp5ZKikpwfr16zF58uRqaa+++iomTpxY6/kHDx5ETk4Ov/Xr149PO378OF544QVMnjwZf/zxB8aOHYuxY8ciPT2dzzN69Gg8evQI+/fvb7o3pQcFM4Q0EicRw+1fveD2r17gJML+MSKpGF4fBMOrhg68rFyLgsSbKEi8Wa3mhmm0KEq5i6KUu9VqfAhpjd58801wHIdTp05h3Lhx6Nq1K3r06IEZM2YIagSys7MRGRkJGxsb2NnZYcKECcjNzeXTFyxYgD59+mDDhg3o0KEDbGxs8Oabb0Kj0WD58uXw8PCAm5sbFi9eLLg/x3FYu3YtRo8eDZlMBj8/P/z000+CPGlpaXjqqacgk8ng7OyMqVOnoqioiE+vqDFZuXIlPD094ezsjNjYWKjVaj6PUqnErFmz0K5dO1hbWyM4OBiHDh3i0+Pj4+Hg4IADBw6gW7dusLGxwahRo5CTk8O/v40bN2LPnj18jUnl8yvbt28fLC0t8cQTTwiOf/nll4iNjYWfn/55rio4OzvDw8OD3yQSCZ/2xRdfYNSoUZg9eza6deuGRYsWoW/fvoJVxMViMf7xj39g69attd6nsSiYIaSJiaRitF86BO2XDqmz8y/TMjxKysajpOxqfWqYhiF/zzXk77lWrS8OIfXBGIO2pKTWrfzBg+pbXh5/jfK8PL156rquoVMO5OXlISEhAbGxsbC2tq6W7uDgAADQarWIjIxEXl4eDh8+jMTERFy/fr1aDcO1a9ewf/9+JCQkYMuWLVi/fj0iIiJw+/ZtHD58GMuWLcO8efNw8uRJwXkffvghxo0bh/PnzyMqKgrPP/88MjIyAADFxcUIDw+Ho6MjTp8+jR07duDgwYOYNm2a4BrJycm4du0akpOTsXHjRsTHxyM+Pp5PnzZtGlJSUrB161ZcuHAB48ePx6hRo3DlyhU+T0lJCVauXInvv/8eR44cQXZ2NmbNmgUAmDVrFiZMmMAHODk5ORg0aJDe53r06FFBbUp9PfPMM3Bzc8OTTz6J//73v4K0lJQUhIWFCY6Fh4cjJSVFcGzgwIE4evRog8tgCBrNRIgJcSIO1k948q8FaRwHWaAL/5qQhmKlpcjs2/AvNAC4FvZ0g87zP3cWnFxeZ76rV6+CMYaAgIBa8yUlJSEtLQ1ZWVn8CtCbNm1Cjx49cPr0aQwYMACALujZsGEDbG1t0b17d4SGhiIzMxP79u2DSCSCv78/li1bhuTkZAQHB/PXHz9+PF577TUAwKJFi5CYmIivvvoKX3/9NTZv3oyysjJs2rSJD7hWr16NMWPGYNmyZXB3dwcAODo6YvXq1RCLxQgICEBERASSkpIwZcoUZGdnIy4uDtnZ2fDy8gKgC04SEhIQFxeHTz/9FACgVquxbt06dOrUCYAuAFq4cCEAwMbGBjKZDEqlEh4eHrU+r5s3b/L3qQ8bGxusWrUKgwcPhkgkws8//4yxY8di9+7deOaZZwDo+jdVvOcK7u7uUCgUgmNeXl64desWtFotRCLj1KFQMENIIzG1Bve+Pg8AcHuzt6Cpiam1yNueCQBwmuCvd8SS49jOeq/LSURwjupmpFIT0rIYWoOTkZEBb29vPpABgO7du8PBwQEZGRl8MOPj4wNbW1s+j7u7O8RiseDL1N3dHffu3RNcPyQkpNp+amoqf+/evXsLao4GDx4MrVaLzMxM/ou9R48eEIsf/zvg6emJtDTd6uNpaWnQaDTo2rWr4D5KpRLOzs78vlwu5wOZimtULashSktLYWVlVe/zXFxcMGPGDH5/wIABuHv3LlasWMEHM4aSyWTQarVQKpWQyWT1LoshKJghpJEYA9Q5xfxrTpDGUJp2X/d6fFcwlUYwSR5NhEeaAyeTwf/c2VrzaEtL9R6rqJHpdDARIj1fRPqOVb23Ibp06QKO43D58mWD8telct8OQFe7qe+YMUbZ1HafoqIiiMVinD17VhDwALrakNqu0ZBZwl1cXPDw4cN6n6dPcHAwEhMT+X0PDw9BXyUAyM3NrVZblJeXB2tra6MFMgD1mSGk0TgLEVwm94TL5J7V5oPhxBwcIjvBIbKT3uUMCGkOHMdBJJfXulk4O1ffnJz4a1g4OenNU9d1DW0idXJyQnh4ONasWYPi4uJq6fn5+QCAbt264datW7h16xafdunSJeTn56N79+6Ne1BAtaHHJ06cQLdu3fh7nz9/XlC+Y8eO8c1WhggKCoJGo8G9e/fQuXNnwVZXk1FlUqkUGk3dk2oGBQXh0qVLBl+3NqmpqfD09OT3Q0JCqg2ZT0xMrFa7lZ6ejqCgoCYpQ00omCGkkTgRB6sujrDq4li934tYBJsQL9iEeIETV/9z06o0uP3B77j9we+CmYMr0u5+ehJ3Pz1ZLY2Q1mjNmjXQaDQYOHAgfv75Z1y5cgUZGRn48ssv+S/IsLAwBAYGIioqCufOncOpU6cQHR2NYcOGoX///o0uw44dO7Bhwwb8+eefmD9/Pk6dOsV38I2KioKVlRViYmKQnp6O5ORkTJ8+HS+//HK1viM16dq1K6KiohAdHY2dO3ciKysLp06dwpIlS7B3716Dy+nj44MLFy4gMzMT9+/fF4yWqiw8PBwXL16sVjtz9epVpKamQqFQoLS0FKmpqUhNTYVKpQIAbNy4EVu2bMHly5dx+fJlfPrpp9iwYQOmT5/OX+Ptt99GQkICVq1ahcuXL2PBggU4c+ZMtQ7RR48exciRIw1+bw1BwQwhpqZluk1fUqEK2kJVMxeIENPw8/PDuXPnEBoaipkzZ6Jnz554+umnkZSUhLVr1wLQ1TLt2bMHjo6OGDp0KMLCwuDn54dt27Y1SRk+/vhjbN26Fb169cKmTZuwZcsWvsZHLpfjwIEDyMvLw4ABA/Dcc89hxIgRgqHIhoiLi0N0dDRmzpwJf39/jB07FqdPn0aHDh0MvsaUKVPg7++P/v37w9XVFceOHdObLzAwEH379sX27dsFx1977TUEBQXhm2++wZ9//omgoCAEBQXh7t27fJ5FixahX79+CA4Oxp49e7Bt2za88sorfPqgQYOwefNmfPvtt+jduzd++ukn7N69Gz179uTz3LlzB8ePHxecZwwcawNL9RYWFsLe3h4FBQWws7MzdXFIHUrUJQjerBtdcPLFk5BL6h4J0ZDrAmiS+zANQ9kV3a8eqy6OguYkpmUozysDU2kg8bAGK3+8sKTHvGCIrSygLdb9ohLZSgU1O0zLoFboqrMlHtY0CzAxSFlZGbKysuDr69ugjp+VaUtK+FFQ/ufOQmTAqCRzxnEcdu3aZfDMuuZi7969mD17NtLT0402mqgmc+bMwcOHD/Htt9/WmKe2z6yh39/UAZiQRmIaLR7EXwTw98rXlTr1sXItclee4dMqU3xyEvajfWE7rL3e63IiDlI9K3ETQkh9RERE4MqVK7hz545gFFhzcHNzE4yKMhYKZghpJI4DJO1t+Nd681iJIZKKqe8LMSsiuRzdLmeYuhikCbzzzjsmue/MmTOb5T4UzBDSSJxEDPdp+nvqcxJRtRqZChXNTDVhGi1K/vgLACAPctXbgZgQ0nTaQK+LVouCGULqSVuPuWI4jgNXQ7pIKq42lLsypmF4+NOfAABZLxdwNCUNIYToRcEMaZNKy0tr3ZdZyEy+hADHcbDyd+RfE0II0c+o9dY+Pj78ip6Vt4ql3IcPH14t7fXXXxdcIzs7GxEREZDL5XBzc8Ps2bNRXl5uzGKTNmD49uEYvn24YD94czC/VQ1uasPUGtxbex731p4HUzddnxhOIoLLKz3h8krPassgEEIIecyoNTOnT58WzFCYnp6Op59+GuPHj+ePTZkyhV88C9CN46+g0WgQEREBDw8PHD9+HDk5OYiOjoZEIuEX4yLE1BgDVDcL+ddUh0IIIc3LqMGMq6urYH/p0qXo1KkThg0bxh+Ty+U1TuH866+/4tKlSzh48CDc3d3Rp08fLFq0CHPmzMGCBQsglUqNWXzSysgsZPz8MoCuaamidubQhEMAIKitMYRWpYHYygLOL+umO6dOuoQQ0vya7V9elUqFH374Aa+++qqg/f/HH3+Ei4sLevbsiblz56KkpIRPS0lJQWBgoGCa6PDwcBQWFuLixYs13kupVKKwsFCwEcJxHOQSOb/JLB4veiazkAn2DaX45CSUNwsh6+ECWQ+XOtdfEknFaL90CNovHVLnIpNalQaKFaehWHGahnQTk1ArNVjz+m9Y8/pvUCvpM0harmYLZnbv3o38/HxMmjSJP/biiy/ihx9+QHJyMubOnYvvv/8eL730Ep+uUCiqrXdRsa9QKGq815IlS2Bvb89vzT1JEGl9mFqDv75Lw1/fpTVpv5i6lD8oQ/mDsma7HyGk9Xnw4AHc3Nxw48aNZr2vSqWCj48Pzpw5Y/R7NVsws379eowePRpeXl78salTpyI8PJxfNGzTpk3YtWsXrl271qh7zZ07FwUFBfxWeXVVQhqCMUB5NR/Kq/moPBWFx7xgWPraG+WenIUIrq/3guvrvWodwk1Ia6JQKDB9+nT4+fnB0tIS3t7eGDNmTLXVmdu6SZMmGbzswuLFixEZGQkfHx8AwPnz5/HCCy/A29sbMpkM3bp1wxdffFHtvEOHDqFv376wtLRE586dER8fXy3PmjVr4OPjAysrKwQHB+PUqVN8mlQqxaxZszBnzpyGvMV6aZah2Tdv3sTBgwexc+fOWvMFB+vWybl69So6deoEDw8PwYMBgNzcXACodal0S0tLWFpaNrLUhDzGiUVwmujPv64gkoqNtmYSJ+Jg6WOcQImQlujGjRsYPHgwHBwcsGLFCgQGBkKtVuPAgQOIjY3F5cuXTV1Es1NSUoL169fjwIED/LGzZ8/Czc0NP/zwA7y9vXH8+HFMnToVYrGYX/E6KysLEREReP311/Hjjz8iKSkJr732Gjw9PREeHg4A2LZtG2bMmIF169YhODgYn3/+OcLDw5GZmQk3NzcAupXGZ86ciYsXL6JHjx7Ge6OsGcyfP595eHgwtVpda77ff/+dAWDnz59njDG2b98+JhKJWG5uLp/nm2++YXZ2dqysrMzg+xcUFDAArKCgoGFvgDSrYlUx6xnfk/WM78mKVcXNdh9D76tRlrNbc46wW3OOMI2y3GjlI6QhSktL2aVLl1hpaWmjr6UqK2er/5XEVv8rianKjP9ZHz16NGvXrh0rKiqqlvbw4UP+9c2bN9kzzzzDrK2tma2tLRs/fjxTKBR8+vz581nv3r3Z+vXrmbe3N7O2tmZvvPEGKy8vZ8uWLWPu7u7M1dWVffLJJ4J7AGBff/01GzVqFLOysmK+vr5sx44dgjwXLlxgoaGhzMrKijk5ObEpU6awR48e8ekxMTEsMjKSrVixgnl4eDAnJyf25ptvMpVKxecpKytjM2fOZF5eXkwul7OBAwey5ORkPj0uLo7Z29uzhIQEFhAQwKytrVl4eDi7e/cu//4ACLbK51e2Y8cO5urqWuezf/PNN1loaCi//95777EePXoI8kycOJGFh4fz+wMHDmSxsbH8vkajYV5eXmzJkiWC80JDQ9m8efNqvHdtn1lDv7+NXnet1WoRFxeHmJgYWFg8rgi6du0aFi1ahLNnz+LGjRv473//i+joaAwdOhS9evUCAIwcORLdu3fHyy+/jPPnz+PAgQOYN28eYmNjqeaFtHpMw1By4S+UXPgLTEPTrJOGY4xBrdTUupUUqqpvj1T8NUoe6UkvVNV5XWbgEgF5eXlISEhAbGwsrK2tq6U7ODgA0H2nREZGIi8vD4cPH0ZiYiKuX7+OiRMnCvJfu3YN+/fvR0JCArZs2YL169cjIiICt2/fxuHDh7Fs2TLMmzcPJ0+eFJz34YcfYty4cTh//jyioqLw/PPPIyNDtz5VcXExwsPD4ejoiNOnT2PHjh04ePAgX5tRITk5GdeuXUNycjI2btyI+Ph4QRPNtGnTkJKSgq1bt+LChQsYP348Ro0ahStXrjx+3iUlWLlyJb7//nscOXIE2dnZmDVrFgBg1qxZmDBhAkaNGoWcnBzk5ORg0CD9y6YcPXoU/fr1q/P5FxQUwMnJid9PSUlBWFiYIE94eDhSUlIA6PrDnD17VpBHJBIhLCyMz1Nh4MCBOHr0aJ1laAyjNzMdPHgQ2dnZePXVVwXHpVIpDh48iM8//xzFxcXw9vbGuHHjMG/ePD6PWCzGL7/8gjfeeAMhISGwtrZGTEyMYF4aQhpKLpEjLSaN3y9Rl9SYl2kZ1HeKAABi1/qPemoIptEib7OuWr3qatyE1Ee5Sotv3z7cqGv8MC+l7kx6TP1iGCSWdX92r169CsYYAgICas2XlJSEtLQ0ZGVl8YM7Nm3ahB49euD06dMYMGAAAF3Qs2HDBtja2qJ79+4IDQ1FZmYm9u3bB5FIBH9/fyxbtgzJycl8FwcAGD9+PF577TUAwKJFi5CYmIivvvoKX3/9NTZv3oyysjJs2rSJD7hWr16NMWPGYNmyZfwAFUdHR6xevRpisRgBAQGIiIhAUlISpkyZguzsbMTFxSE7O5vvQzpr1iwkJCQgLi6On0NNrVZj3bp16NSpEwBdAFTx3WdjYwOZTAalUllrlwtA182jcl9VfY4fP45t27Zh7969/LGaBuAUFhaitLQUDx8+hEaj0ZunanOgl5cXbt68WWsZGsvowczIkSP1Rube3t44fLjuP66OHTti3759xigaIQZj5VrcW5MKQNfptzlwHCD9u3MxrWZAWjtDa3AyMjLg7e0tGKXavXt3ODg4ICMjgw9mfHx8YGtry+dxd3eHWCyGSCQSHLt3757g+iEhIdX2U1NT+Xv37t1bUHM0ePBgaLVaZGZm8l/sPXr0gLjSjw9PT0+kpel+OKWlpUGj0aBr166C+yiVSjg7O/P7crmcD2QqrlG1rIYoLS2FlZVVjenp6emIjIzE/PnzMXLkyHpf3xAymUww7Yox0NpMhBhI7KBr2qyYK8bYOIkYbv/qZfT7kNbPQirC1C+G1ZpH3zwyapWGr5F56ZMQSPTMjVRXrYuF1LDeDF26dAHHcU3WyVcikQj2OY7Te0yr1TbJ/eq6d8V9ioqKIBaLcfbsWUHAA+hqXGq7hqEBX2UuLi54+PCh3rRLly5hxIgRmDp1qqBVBNANsqkYcFMhNzcXdnZ2kMlkEIvFEIvFevNUrS3Ky8urNoluU6PxnoQYQCQVw/P9gfB8f2Cdk90R0tJwHAeJpbjWTW4nrb7ZPp5lXW6rJ91OWud1DV0k1cnJCeHh4VizZg2Ki4urpefn5wMAunXrhlu3bgmm3Lh06RLy8/PRvXv3xj0oACdOnKi2361bN/7e58+fF5Tv2LFjfLOVIYKCgqDRaHDv3j107txZsNXVZFSZVCoVLBdU2/0uXbpU7fjFixcRGhqKmJgYLF68uFp6SEhIteHwiYmJfM2VVCpFv379BHm0Wi2SkpKq1W6lp6cjKCjIoPfVUBTMEEIIaRHWrFkDjUaDgQMH4ueff8aVK1eQkZGBL7/8kv+CDAsL4+cmO3fuHE6dOoXo6GgMGzYM/fv3b3QZduzYgQ0bNuDPP//E/PnzcerUKb6Db1RUFKysrBATE4P09HQkJydj+vTpePnll6v1HalJ165dERUVhejoaOzcuRNZWVk4deoUlixZIuizUhcfHx9cuHABmZmZuH//PtRqtd584eHhuHjxoqB2Jj09HaGhoRg5ciRmzJgBhUIBhUKBv/76i8/z+uuv4/r163jvvfdw+fJlfP3119i+fTveffddPs+MGTPwn//8Bxs3bkRGRgbeeOMNFBcX45VXXhGU4ejRo0ZrwqpAwQwhLRRTa5D7xTnkfnGuWWcdJsRU/Pz8cO7cOYSGhmLmzJno2bMnnn76aSQlJWHt2rUAdLVMe/bsgaOjI4YOHYqwsDD4+flh27ZtTVKGjz/+GFu3bkWvXr2wadMmbNmyha/xkcvlOHDgAPLy8jBgwAA899xzGDFiBFavXl2ve8TFxSE6OhozZ86Ev78/xo4di9OnT6NDhw4GX2PKlCnw9/dH//794erqimPHjunNFxgYiL59+2L79u38sZ9++gl//fUXfvjhB3h6evJbRX8jAPD19cXevXuRmJiI3r17Y9WqVfjuu+/4OWYAYOLEiVi5ciU++ugj9OnTB6mpqUhISBAEdikpKSgoKMBzzz1Xn0dUbxxrSCOcmSksLIS9vT0KCgpgZ2dn6uKQOpSoSxC8WdfJ9uSLJyGXyOs4w/j3ZWotHmzRteU7vxAATmL83wFalQZ3PzoOQDeaCYBgn5q7iD5lZWXIysqCr69vrR0/DaFWavhRUIaOSjJnHMdh165dBs+say727t2L2bNnIz09XdABujlMnDgRvXv3xgcffFBjnto+s4Z+f1MHYNIiVA4kKlawbkkYYyi79IB/3RyDizgLEVwm9+Rfs/Km76hICGn9IiIicOXKFdy5c6dZ1ypUqVQIDAwUNE0ZCwUzhBiAE3NweLYz/7pZ7iniYNXFkd9v9VWopMWRWIoRu+4pUxeDNIF33nmn2e8plUqrjZIyFgpmCDEAJxbBZqCnqYtBCDGiNtDrotWiYIaQFoppGMqu6EYgVK6hIYQQIkSjmQgxANMyqHOLoc4tBtM2z683ptHiQfxFPIi/CKbRVkmjX5CEEFKBghlCDMDKtcj99znk/vtcs3XE5ThA0t4GkvY21ZYzUGbmNUsZCCHEHFAzEzEJxhhKy0v5/ZpetyQi6+b9c+EkYrhPezxrJlPRXDOEEKIPBTPEJErLS/mh2FWN3jm6mUtTN5FUDK8PQ+rO2Ewsuzqi7Fq+7rWvPTgRrURJCGm7qJmJEDPEtAz3/5OG+/9Jo/lniNGoy8qwauI/sWriP6EuKzN1cQipEQUzxOQOTTgkmCjv0IRDOPniSZx88SRkFjLTFayFs3CTw8KteWZHJoSYrwcPHsDNzQ03btxo1vuqVCr4+PjgzJkzRr8XBTPE5GQWMkHQIrOQQS6RQy6RG7zirrExtRYPtl7Gg62XwdSmrwkRScXwmNEPHjP60bIGpFVRKBSYPn06/Pz8YGlpCW9vb4wZM6baCs5t3aRJkwxedmHx4sWIjIyEj48PAOD8+fN44YUX4O3tDZlMhm7duuGLL74QnHPo0CFwHFdtUygUgnxr1qyBj48PrKysEBwcjFOnTvFpUqkUs2bNwpw5cxr1Xg1BfWYIMQBjDKWpuhVl2bNdmmU5A0Lamhs3bmDw4MFwcHDAihUrEBgYCLVajQMHDiA2NhaXL182dRHNTklJCdavX48DBw7wx86ePQs3Nzf88MMP8Pb2xvHjxzF16lSIxWJ+hfAKmZmZgjWR3Nzc+Nfbtm3DjBkzsG7dOgQHB+Pzzz9HeHg4MjMz+XxRUVGYOXMmLl68iB49ehjtfVLNDCEG4MQc7P/pB/t/+jXbcgZViaRitF86BO2XDqHaGNIqvfnmm+A4DqdOncK4cePQtWtX9OjRAzNmzMCJEyf4fNnZ2YiMjISNjQ3s7OwwYcIE5Obm8ukLFixAnz59sGHDBnTo0AE2NjZ48803odFosHz5cnh4eMDNzQ2LFy8W3J/jOKxduxajR4+GTCaDn58ffvrpJ0GetLQ0PPXUU5DJZHB2dsbUqVNRVFTEp1fUmKxcuRKenp5wdnZGbGws1Go1n0epVGLWrFlo164drK2tERwcjEOHDvHp8fHxcHBwwIEDB9CtWzfY2Nhg1KhRyMnJ4d/fxo0bsWfPHr7GpPL5le3btw+WlpZ44okn+GOvvvoqvvjiCwwbNgx+fn546aWX8Morr2Dnzp3Vzndzc4OHhwe/VV6o8rPPPsOUKVPwyiuvoHv37li3bh3kcjk2bNjA53F0dMTgwYOxdetWveVrKhTMEGIATiyC7ZPtYPtkO3Bi0//ZMLUGf32Xhr++SwNT05BtUjvGGNRlZbVuJQX51bfCfP4aJYV60gvy67yuoUsE5OXlISEhAbGxsbC2tq6W7uDgAADQarWIjIxEXl4eDh8+jMTERFy/fh0TJ04U5L927Rr279+PhIQEbNmyBevXr0dERARu376Nw4cPY9myZZg3bx5OnjwpOO/DDz/EuHHjcP78eURFReH5559HRkYGAKC4uBjh4eFwdHTE6dOnsWPHDhw8eLBabUZycjKuXbuG5ORkbNy4EfHx8YiPj+fTp02bhpSUFGzduhUXLlzA+PHjMWrUKFy5cuXx8y4pwcqVK/H999/jyJEjyM7OxqxZswAAs2bNwoQJE/gAJycnB4MGDdL7XI8ePYp+/frV+fwLCgrg5ORU7XifPn3g6emJp59+GseOHeOPq1QqnD17FmFhYfwxkUiEsLAwpKSkCK4xcOBAHD16tM4yNAY1M5EWQS6RIy0mzdTFMBuMAcqr+fxravYitSlXKvFlzHONusZ3019r0HlvbfwJEiurOvNdvXoVjDEEBATUmi8pKQlpaWnIysriV4DetGkTevTogdOnT2PAgAEAdEHPhg0bYGtri+7duyM0NBSZmZnYt28fRCIR/P39sWzZMiQnJyM4+PE0EePHj8drr+ne66JFi5CYmIivvvoKX3/9NTZv3oyysjJs2rSJD7hWr16NMWPGYNmyZXB3dwegq41YvXo1xGIxAgICEBERgaSkJEyZMgXZ2dmIi4tDdnY2vLy8AOiCk4SEBMTFxeHTTz8FAKjVaqxbtw6dOnUCoAuAFi5cCACwsbGBTCaDUqmEh4dHrc/r5s2b/H1qcvz4cWzbtg179+7lj3l6emLdunXo378/lEolvvvuOwwfPhwnT55E3759cf/+fWg0Gv49V3B3d6/WHOjl5YWbN2/WWobGomCGEAMwLYMmXwkAEDtYmnxeF04sgtNEf/41IebO0BqcjIwMeHt784EMAHTv3h0ODg7IyMjggxkfHx/Y2tryedzd3SEWiwXNJO7u7rh3757g+iEhIdX2U1NT+Xv37t1bUHM0ePBgaLVaZGZm8l/sPXr0gFj8uCnY09MTaWm6H2tpaWnQaDTo2rWr4D5KpRLOzs78vlwu5wOZimtULashSktLYVVLMJmeno7IyEjMnz8fI0eO5I/7+/vD39+f3x80aBCuXbuGf//73/j+++/rVQaZTIaSkpJ6l70+KJghxACsXAvF8tMAAK+Fg8CZuM8KJ+YgD3KrOyMhACwsLfHWxp9qzaNWVp9HRq0s42tkXvvqO0gsq38p6jtW9d6G6NKlCziOa7JOvhKJRLDPcZzeY1pt049OrO0+RUVFEIvFOHv2rCDgAXQ1LrVdoyGreru4uODhw4d60y5duoQRI0Zg6tSpmDdvXp3XGjhwIH7//Xf+umKxWNBXCQByc3Or1Rbl5eXB1dW13mWvD/pJR4iBOIkInIT+ZIj54TgOEiurWje5vUP1zc6Bv4bcTk+6vUOd1zV0egUnJyeEh4djzZo1KC4urpaen58PAOjWrRtu3bqFW7du8WmXLl1Cfn4+unfv3qjnBEDQ0bhiv1u3bvy9z58/LyjfsWPH+GYrQwQFBUGj0eDevXvo3LmzYKuryagyqVQKjabu/nJBQUG4dOlSteMXL15EaGgoYmJiqnWErklqaio8PT35+/fr108wZF6r1SIpKala7VZ6ejqCgoJgTPQvMyEGEEnFaLdoMNotGtwiRhIxLYPq1iOobj1qtlW8CTG2NWvWQKPRYODAgfj5559x5coVZGRk4Msvv+S/IMPCwhAYGIioqCicO3cOp06dQnR0NIYNG4b+/fs3ugw7duzAhg0b8Oeff2L+/Pk4deoU38E3KioKVlZWiImJQXp6OpKTkzF9+nS8/PLL1fqO1KRr166IiopCdHQ0du7ciaysLJw6dQpLliwR9Fmpi4+PDy5cuIDMzEzcv39fMFqqsvDwcFy8eFFQO5Oeno7Q0FCMHDkSM2bMgEKhgEKhwF9//cXn+fzzz7Fnzx5cvXoV6enpeOedd/Dbb78hNjaWzzNjxgz85z//wcaNG5GRkYE33ngDxcXFeOWVVwRlOHr0qKAJyxgomCHEDLFyLe6tScW9Nam0nAFpNfz8/HDu3DmEhoZi5syZ6NmzJ55++mkkJSVh7dq1AHS1THv27IGjoyOGDh2KsLAw+Pn5Ydu2bU1Sho8//hhbt25Fr169sGnTJmzZsoWv8ZHL5Thw4ADy8vIwYMAAPPfccxgxYgRWr15dr3vExcUhOjoaM2fOhL+/P8aOHYvTp0+jQ4cOBl9jypQp8Pf3R//+/eHq6ioYaVRZYGAg+vbti+3bt/PHfvrpJ/z111/44Ycf4OnpyW8V/Y0A3WilmTNnIjAwEMOGDcP58+dx8OBBjBgxgs8zceJErFy5Eh999BH69OmD1NRUJCQkCAK7lJQUFBQU4LnnGtcBvS4ca0gjnJkpLCyEvb09CgoKBJP/ENMpUZfwC02efPEk5BLTT8vfEstUE61Kg9zPzgIA3GkWYFJJWVkZsrKy4OvrW2vHT0Ooy8r4UVCGjkoyZxzHYdeuXQbPrGsu9u7di9mzZyM9PV3QAbo5TJw4Eb1798YHH3xQY57aPrOGfn9TB2BCDMDKtcjfcw0A4BDZCZyFaSs1RVIxPN8faNIyEELMQ0REBK5cuYI7d+4IRoEZm0qlQmBgIN59912j34uCGUIMwLQMxad1a5LYj/GjeV1ImyCxssLMbb+YuhikCbzzzjvNfk+pVGrQKKmmQMEMIQbgRBzsRnbkXxNCWp820Oui1aJghhADcBYi2D1leOc8Y2NqLR5s0c3H4fxCAA0ZJ4S0aRTMEGKGGGMou/SAf011RYSQtoyCGUIMwBiDtlg3j4PIWmLwRGDGwok5ODzbmX9NCCFtmVHrphcsWMAvT16xVV5ErKysDLGxsXB2doaNjQ3GjRtXbWrk7OxsREREQC6Xw83NDbNnz0Z5ebkxi01INUytRc4nJ5HzyUkwtenndeHEItgM9ITNQE9am4kQ0uYZvWamR48eOHjw4OMbWjy+5bvvvou9e/dix44dsLe3x7Rp0/Dss8/yk/9oNBpERETAw8MDx48fR05ODqKjoyGRSPiVRQkhhBDSthk9mLGwsNC73kRBQQHWr1+PzZs346mnngKgmxWxW7duOHHiBJ544gn8+uuvuHTpEg4ePAh3d3f06dMHixYtwpw5c7BgwQJIpVJjF58QALp5XdovHWLqYvCYlqH8L90qtBauchphRYxCq9Lg7kfHAegWWKXJGUlLZfT66StXrsDLywt+fn6IiopCdnY2AODs2bNQq9UICwvj8wYEBKBDhw5ISUkBoJsGOTAwUDA1cnh4OAoLC3Hx4kVjF52QFouVa5H773PI/fc5Ws6AkCYSHx8PBwcHUxeDNIBRg5ng4GDEx8cjISEBa9euRVZWFoYMGYJHjx5BoVBAKpVW++C4u7tDodBNTqZQKKot3lWxX5FHH6VSicLCQsFGSGsjsraAyJr68JPWY9KkSXz/SolEAl9fX7z33nsoKyszSXkWLFiAPn36mOTepH6M+i/h6NGj+de9evVCcHAwOnbsiO3bt0MmkxntvkuWLMHHH39stOuTtoeVa1GwPwsAYD/at0UsZ+D1YYhJy0CIMYwaNQpxcXFQq9U4e/YsYmJiwHEcli1bZuqikRasWf9FdnBwQNeuXXH16lV4eHhApVIhPz9fkCc3N5fvY+Ph4VFtdFPFvr5+OBXmzp2LgoICfrt161bTvhHS5jAtQ9Gxuyg6dhdMS7OEEmIslpaW8PDwgLe3N8aOHYuwsDAkJiYCALRaLZYsWQJfX1/IZDL07t0bP/30E3/uw4cPERUVBVdXV8hkMnTp0gVxcXEAgEOHDoHjOMF3TmpqKjiOw40bN6qVIz4+Hh9//DHOnz/P1xbFx8cb862TRmjWOuqioiJcu3YNL7/8Mvr16weJRIKkpCSMGzcOAJCZmYns7GyEhOh+cYaEhGDx4sW4d+8e3NzcAACJiYmws7Pjl2TXx9LSEpaWlsZ/Q6TN4EQcbEO9+deEmBPGWJ1TCmhVmlqPlRep9HYArqtTMCcRNXhepvT0dBw/fhwdO+qWElmyZAl++OEHrFu3Dl26dMGRI0fw0ksvwdXVFcOGDcOHH36IS5cuYf/+/XBxccHVq1dRWlraoHtPnDgR6enpSEhI4Efk2tvbN+haxPiMGszMmjULY8aMQceOHXH37l3Mnz8fYrEYL7zwAuzt7TF58mTMmDEDTk5OsLOzw/Tp0xESEoInnngCADBy5Eh0794dL7/8MpYvXw6FQoF58+YhNjaWghXSrDgLEezDfUxdDB5Ta5H3858AAKdxXWk5A1Irptbyo5Ia6t7yMw06z2vhIHD1GAX1yy+/wMbGBuXl5VAqlRCJRFi9ejWUSiU+/fRTHDx4kP/B6+fnh99//x3ffPMNhg0bhuzsbAQFBaF///4AAB8fnwaVGQBkMhlsbGxqHJFLWhajBjO3b9/GCy+8gAcPHsDV1RVPPvkkTpw4AVdXVwDAv//9b4hEIowbNw5KpRLh4eH4+uuv+fPFYjF++eUXvPHGGwgJCYG1tTViYmKwcOFCYxabkBaPMYbS1L90r5/tQssZkFYjNDQUa9euRXFxMf7973/DwsIC48aNw8WLF1FSUoKnn35akF+lUiEoKAgA8MYbb2DcuHE4d+4cRo4cibFjx2LQoEGmeBukmRk1mNm6dWut6VZWVlizZg3WrFlTY56OHTti3759TV00QuqlcjV9Y6rNmwon5mD/Tz/+NSG14SQieC2s/Uu9pmamihoZt/f6N7iZqT6sra3RubNuqY4NGzagd+/eWL9+PXr27AkA2Lt3L9q1ayc4p6KmfvTo0bh58yb27duHxMREjBgxArGxsVi5ciVEIl05Kq+MrVar61U20nLRuE5C9CgtL0Xw5mAAwMkXT8KKWQomD6tPtbkxcGIRbJ9sV3dGQgBdB9Y6PrP6gpLKAY6FjbTZJ80TiUT44IMPMGPGDPz555+wtLREdnY2hg0bVuM5rq6uiImJQUxMDIYMGYLZs2dj5cqVfItATk4OHB0dAeg6ANdGKpVCo6ke5JGWh4IZQgghLdb48eMxe/ZsfPPNN5g1axbeffddaLVaPPnkkygoKMCxY8dgZ2eHmJgYfPTRR+jXrx969OgBpVKJX375Bd26dQMAdO7cGd7e3liwYAEWL16MP//8E6tWrar13j4+PsjKykJqairat28PW1tb6q/ZQlEwQ4gBKlfTt4TOtkzLoMlXAgDEDpY0woq0WhYWFpg2bRqWL1+OrKwsuLq6YsmSJbh+/TocHBzQt29ffPDBBwB0NSlz587FjRs3IJPJMGTIEL67g0QiwZYtW/DGG2+gV69eGDBgAD755BOMHz++xnuPGzcOO3fuRGhoKPLz8xEXF4dJkyY1x9sm9cSxyg2IrVRhYSHs7e1RUFAAOzs7UxeHAChRlwiaceQSuYlLJCzToQmHMHz7cAAtp3yV0Zo5pCZlZWXIysqCr68vrKysGnUt+pyR5lDbZ9bQ72+qmSFEj9LyUr2vAUBmITN5B2CgZdQQEUJIS0DBDCF6jN75eCmO4duHw4KJEfVXBADgjWlzYS2zMVXRAOg6a7ZbNNikZSCtX0tbLZ6QmlAwQ4gBxEyM5x+M0u3QcgaEENKiUDBDyN9kFjKcfPEkAF3TUkWfmUMTDoGVa7H17wkdXxEFmaqIhBBC9KBghpC/cRynt6OvzEIGWADfeOgWtHvVYnZzF60aVq5F/p5rAACHyE4mX8WbEEJMif4FJMQMMS1D8WkFik8raBVvolcbGKhKWomm+KxSzQwhZogTcbAb2ZF/TUgFiUQCACgpKYFMJjNxaQipW0lJCYDHn92GoGCGED3kEjnSYtL4/eLiR9ifoeszw1QaoOF/c02CsxDB7qkOpi0EaZHEYjEcHBxw7949AIBcLm8RUwkQUhVjDCUlJbh37x4cHBwgFjd8HiMKZgghpJXx8PAAAD6gIaQlc3Bw4D+zDUXBDCGGkIjwfJf3AAAHJAdNXBjdLxptsW7FX5G1hH55EwGO4+Dp6Qk3NzdaGZq0aBKJpFE1MhUomCHEABzHocCiiH9takytRc4numHkLWEVb9IyicXiJvmiIKSlo9FMhBBCCDFrVDNDiAFYuRbP3x/FvzZ1B2CaZp4QQh6jYIYQQ2gZYv56hn9tTrQlJcjs2w8A4H/uLETylrUCOCGENBYFM4QYQsRhv8PvAIAXaTkDQghpUSiYIcQAnIUIX3puBgBEWbxt4tLomroK9mcBAOxH+wqWM2CMgZWW8vvaGl4DACeTtYgOzYQQ0hgUzBBihpiWoejYXQCAXbgPKocjrLSUb1aq6srgJwX7/ufOgqNmJ0KImaNghhAzxIk42IZ6868JIaQto2CGNJsSdQmCNwcDAA5NOGTawtQTU2mw6/K/+demHs3EWYhgH+5TZ74ux3T9fCpqZKruayvV4lDnYEKIuaJghhA9tCoN7n50HIBuUjoAsGKWpixSg4iqLDRYdZ8QQloDCmYIMYSFCDGd5gEA/muxz8SF+buTr1oLAOAkolo78WpVGtiO/ZZ/Lao0WzB1DiaEtAYUzBDyt8oBguC4WgtAiweSfGg4bYvoo8LUWkHNUW3LGVRuOhLJ5UC5kt+/FvY0/1pf52AGUDMUIaTFo+UMiNEwxlCiLuG30vLHv/wrv24pKgIExbJTguMPd1/Fw0WpGPNwmIlKRgghpDZUM0OMprS8lO/wW9XonaObuTSG0xaXQ6vSmLoYteIkIr4vDyep/TdJ1ffCyWToevoMmEYLVq7E1Sd1yyLo6xwsuE6lfWqCIoS0JBTMEPI3zkIE93f7gqm0gknoHMd2RtnY9vjfjmkmLJ0Qx3EGr5Sd+9mZaueWZhQif+dVeLzfhz9etXNw1Wanyvs0Pw0hpCWhYIY0i4qh2MO3D+f3ZRa6L8+K/5oaJ+IgcbcGIKzN0HWwFUPD6frTVK5xOvniScgl5vWlrlVpUHT4duOvQ2s+EUJaCApmSLOoGrDILGQtOgiotiq12nRl0YeVa1GYlA0AsBvRAUxVxgcWnQ8fgVW/yXw+9xn9ofjkJH8ux3GwcJHBwt0aYmtrdLuc8fi6jMH/3Fl+X1taytfIdDqYyHcYrq0JCqBmKEJI86JghpC/MY0WxWdzAQDW/dzBifX3RamtI7PMonm+xJmW4VHyLQDgZwJ+nAZIvIP5fCIrYXMUJxHB5ZWeeq/LcVyNzUeVm6Fqa4ICqBmKENK8jDqaacmSJRgwYABsbW3h5uaGsWPHIjMzU5Bn+PDhun9AK22vv/66IE92djYiIiIgl8vh5uaG2bNno7y83JhFJ0Ygl8iRFpOGtJi0FlkrwzQM+TuvIn/nVTANqzFf5c7Lw7cPR/DmYH5rtlFaHGAd7AbrYDewslJBzQhTlaEsbRvK0rbVGJAZSiSXo9vlDHS7nEET7hFCWiyj1swcPnwYsbGxGDBgAMrLy/HBBx9g5MiRuHTpEqytrfl8U6ZMwcKFC/l9eaVfdBqNBhEREfDw8MDx48eRk5OD6OhoSCQSfPrpp8YsPmljOI6DVXdn/nWLplZCMXcsAEBRJel6+Ej+NSfmqjeZNRAnk9XYBFV1JBQhhDQnowYzCQkJgv34+Hi4ubnh7NmzGDp0KH9cLpfDw8ND7zV+/fVXXLp0CQcPHoS7uzv69OmDRYsWYc6cOViwYAGkUqkx3wJpQziJCC7R3fWmySxkOPmirt9JaXmpoCMz8LhjsznQqjTI/UwXlLjP6CeYEbg2hjZBEUJIc2vWSfMKCgoAAE5OToLjP/74I1xcXNCzZ0/MnTsXJSUlfFpKSgoCAwPh7u7OHwsPD0dhYSEuXrzYPAUnbR7HcZBL5JBL5ILOzDILmclHY3U59jtfMwIAnX8/ik6/HUen344DllZ6z9HkK6HJV+pNI4QQc9NsHYC1Wi3eeecdDB48GD17Pu58+OKLL6Jjx47w8vLChQsXMGfOHGRmZmLnzp0AAIVCIQhkAPD7CkXVCnYdpVIJpfLxP9SFhYVN/XYIManK6y1BrKudrNhnWgvc+zINwN+LZFapeOEsRHCL7cO/bqiK/jR8mSr9CCGEkObUbMFMbGws0tPT8fvvvwuOT506lX8dGBgIT09PjBgxAteuXUOnTp0adK8lS5bg448/blR5SdvT0OaXloBphGtK1TYrMCfiIPW2NXaRCCGk2TRLMDNt2jT88ssvOHLkCNq3b19r3uBg3ZDSq1evolOnTvDw8MCpU8K1cnJzdcNna+pnM3fuXMyYMYPfLywshLe3t968hFRmSNNLxaisCiXq5q+R4CQiFO3Tfca5Dw+h+NQDPs3CwRbtFg1u9jIRQoipGDWYYYxh+vTp2LVrFw4dOgRfX986z0lNTQUAeHp6AgBCQkKwePFi3Lt3D25ubgCAxMRE2NnZoXt3/Z01LS0tYWlp2TRvgrQZTdX80hw4jgNTFfGv64NpGEov/AUAkPVyBSdu4SO3CCGkDkYNZmJjY7F582bs2bMHtra2fB8Xe3t7yGQyXLt2DZs3b8Y//vEPODs748KFC3j33XcxdOhQ9OrVCwAwcuRIdO/eHS+//DKWL18OhUKBefPmITY2lgIW0qTMufnF5sl2ePTbLYPyMo0Wedt08z159XAGJzaf5jRCCNHHqD8/165di4KCAgwfPhyenp78tm3bNgCAVCrFwYMHMXLkSAQEBGDmzJkYN24c/ve///HXEIvF+OWXXyAWixESEoKXXnoJ0dHRgnlpCGnr6lOTxHGAZWcHWHZ2gLGm09GWliIjoBsyArpRx2BCiNEZvZmpNt7e3jh8+HCd1+nYsSP27dvXVMUiRlKiLhEswGhuzLn5pT4T43ESMVxfCzRyiQghpPnQ2kyE/K2lN79UXqW68rwyLVHl5RVoEUpCiLFRMEMahTHGr0dU2wKM5qCi+aXitakxxsBqCAqqBggtTcXq2gAtQkkIMT4KZkijlJaX8k1LlZnT9P4VWlrzCyst5WtiqqocLNSXVqXBvdWpAAC3aX3Maj4dQgjRh4IZQtqg8ntN3ym38kKUtAglIaQ5UTBDmsz+Z/dj9M7RAHQLMFZdw4g0XNWAoMux3/nFHbl6LvLIWYjgMiWQf91UalqIkhahJIQYGwUzpMlUDV7kEvPqF9GSm1+qBgQimQyiBvY74UQcrDo5NEGpakbrNhFCmhMFM4RUYozml6ZSNUAgLZ9WpcHdj44D0C362ZICZEJaEwpmSJORWcgEaxaZG2M1v7Q0TMNQdlm3lpNVgLNZzadDCCH6tN5/sc1EiaocPu/vhc/7e1GiKjd1cdq0iuYXq04O4ESt9wueabR48H0GHnyfUW21bUIIMUdUM2MCjDGUqjUAIAhgqgYzMomYJhdrIKZhYBotmFqDnEW62Yi9Fg4CxwGM6VadbqvPluMAaUc7/jUhhJg7CmZMoFStQfePDlQ73v+TJMH+pYXhAMDnvbQwHHJp2/tf1pB+B6UX7yNv82VI/v7SrnDv6/NQ5xTrApsq12krzS+cRAy3N3qbuhiEENJk2t43oxkpUWkAsEr7j2tuWnOtDWMMTK0V7POvy7XQQtckVN9+LVqVBuqcYn5fU1qOnI9TAOiCJAB48H0Gv9/cyxlUXq6gYr4WQgghdaNgxsSOvheKIcuTAQBn5o0AwKH/JwcBgP9vhco1N625loaptXxNDAB4zB3Iv3505DaKDt2G9ROecBzbucZryHq4wGvhIEEzE2chgnN0d10Tk4UIZZkPBOeYovml8pIF5rRcQWNoK81s7H/ubIOHmBNCSIXW+W1oRmTSx7UL5hCcNMfK2JxEhHaLB+PR4dso/PVmvc5lWgZVdiEAQNrBrtpq0rLuzrXct2maX6o+o9rm26lpyQJjzpbL1Brc++YCAMDtX73ASZq5BooWoSSENLGW/+3ZysmlFrixNILfZ4zxfWUAXdNSRY1M5Vqc5lJ5IUmgeRaT5DgOEHOwebIdbJ5sJ2hmsh3aHnZPdahxtBEr1+Kvdbovan39YiqrWFSyKVV9JpX3ZRYt44uaMUB9u4h/3dwlokUoCSFNjYKZFobjuBpraCrX4jSXmhaSBIy/mGRFR1+tSsMf4yxEdXYAtnC2Muj6YpmFoNamKVR9JpX366ql6XQwkf+ir7xcAVD/JQtqw4lFcJ7Ug39NCCHmjoKZFq5yzU1bmYeGlWtR8OsNAID9SJ9qTUValQZ3F/zdcXdBiCC4EUnF8Jg9oFnL21QsnJyaZYZfTsxBFuBk9PsI7kmLUBJCjIiCGWKwQxMOAXhc22CsxSSZlqHoyB0AgF1YR/3NIFqm76hJyCxkgv5DpeWl/DOqvPhmW1Z5EUpat4kQ0tQomCEGqxqsGGsxSU7EwWZoO/51tXQLETz/HuHUEpYd4DiuxufQElcLZ1oG5bV8AIBlK5/tmBDSNlAwQ+pFLpEbff0lzkIEh3/41Zwu4iC2t9SbxtRaPPjhEgDA+SXdMOzmVvkZlahbXq0DK9fi/vp0AIDHvGAoPjnJvxbLJK12skBCSOtl+p+1hDQhxhjKMh+iLPOhYBQUeYzjAImnNSSe1oL5dBSfnETpxfumKxghhDQQ1cyQFocx9rhPjIirNpyZlWtRdOwuAMBmsJegqYkTc3B8riv/uqVpCbP8chIx3N/uqytPpZFiLYG2tLRaB+GKUV00Bw0hpCYUzBhB5YUkAeFcMRWz/LZklSd9q+j0a0ysXAtNWbmguaPitd41lLQMBfuzAADWIZ6Cp8mJRbDu7270MhuKMQZLlS4w05aUQltpQFpLm+XXY14wxFYWUN4oAKCbdLC5+9NUHdVUeb/qyCd9w9cp2CGkbaJgxghqWkgSqL6YZEtgionxKsv/5TqKT+QIjtkO98ajQ7f05udEHOR93fjXLRkrLcP3q3SB7a1VNX9Rm4q+Ye81TTpYec0sTszxc9QwLQMr1/LXM5baAh2AJtwjpC2jYMZMlag01Wp8Kk+2V9tClPqWJKhpYjxTDCsWScWwHda+5mDGQgSnCf5605iWQa3QLSYp8bBu8cFOZSXqUoRsNGwZBGOqadLBymtmOUR2gryfu2ANLc5KjHYLBtX7fpXnoAGE89BUnkiQEEJqQsGMkZ2ZFwaA1Rp0NERti1AC1ReirFz70tw1L3Vx+KcfbMM68E1LgO6L0WvhoHqPRmLlWtz78g8AdS9n0Nxckv4HgOH+iGf+3v8vZDaPJ68rkzzusFz1/0tzLYVQ26SDHMdBFuiC0rT7glXNq6rabOi1cBA4CxFfe8NJRIL3UnkOGkA4Dw1jrMZAhybcI4RUoGDGyORScbX1lyqra1HC8iIV/6XgOG9gtfMNVdOyBFWn369tYrymnDOl6iy+FjbSaksLNDQQEdlJG10+Yxi9byyUUg6Y+/ef3cFna8xb9f+LKWtqKnASEZyjukGr0oATc2Cax8GXx7xgvonp4c4rKDl3T3Cu9pEKOUtOAahfkFlboAPQhHuEEB0KZhpIXz8TftbX/5cEcCo+X23n1lVLkvflef51SXkBzn40FABgJbaq9ku9WFmOAZ/u151XlofgLSMA1K8Tb8VEeMaeSwZAg2fx1ao0yPn0JMAAz//TfYkyjRZMw8BxHLw+0N9kZiyMMbAqK0FX1BZ47f9vs5alqVQOWCqakioCloqghRPD4LWt+FFTZtTsRwgxHxTMNFBtCzCO3jUCtgG612WaMFhDYtC5+hZujC9ZBHc4AwAidkbgiaJAAMBHk5eDE3GCGhQl08A24KO/y1DzdStPsW+sJQnq0thZfFmZBtYDPPj94lMK5O+5BlmgC5yjujVZOfn7VQlYKqscvFR1d/Qz/OtDEw5DKa15OYjKAXHVGrLmUjHpYFnmQziM7cx3tAZ089CI7KR1BouOz3aB3T98Bc2GFs4yeC0cZNQOwoSQtouCmRZGorXA+3cmAwCWtluPt3yXYtuVFbo0ZoH37r4CABi1PRwAsD/zawDA6C3hKBUrAQAiJoKNRo5tV5YDAMb6vwOlSAWpVgIOHBwtHZu85oVpGTQlakE/CZFUDKbWgjFWvZ9ELbP4GspmWPtm+3JkpaX8/DANJZfIYCOrudarao2YKWYPrph0EGj4UhGchahJmw2bg1al4WugKOgixPxQMNNAlZuP9v8/Xefb0bt0zTqbw/fgxQORAHS/th+Uqqr94ubPrVJLYqWV4uGiVADA0QlHUCZ6fO7+MXtxbk2C7v5g4CrNsNKtxA/nbHV9CYKLAvHR7X/xaQnPJkAut0bBugxo7pTAiumCiIohtRynm0iNf29qDRjTzdli6MRzakUx3/G2srztmShNu9+knXE5iYjvVFrBeqAH5P3cG9VJtq7aF0NUnfukMq6G44aoq6N21Vqdyv2c6vNMKp4t8Hj4dfulQwTDrxtDq9KAE3H8/7vKw70r7t/Q/4fleXm49nfASXPQENK2UDDTQGWV/mF/cskxgEkBLAUAjLl8nm9mqghwKlRtNnCychL8GmcaLdiznQEAcitrWItt+XTGGJzefwkAEIaXUFJSjLIllwEAy4cuh0VnZ/RbdBClTNgB1knmBDAg704JpL52YGotbs8/yqdLPK35GWEB4N536VDfLATw+FdqRZ+Hyr9Y+VqXGgIerUqD0jT90+PXNotvXTiOqxYY6QIvgy+hv0wG1r5UHi7cXF+a9WluqpzXkJXOq40s0hN0ciL9xw3FyrX8fEI2Q7xQdFT3/95j7kAo/u4YDOg+b9pyLXIWnuD3RVKxcI6bSgEP02gBse7zXnkId9VmP2MFmYSQloGCmRaGE4tgM9BTf1qV1ZmtZJa4+/drl67toRQBYFIcB8BiA8Gt0QVBD4rK+GHa0kFe9RruzLQMyhsFeHT4NtS5JXB/py9fHW/ZxQHKK/lwfK4r5H3dBDP36t4LB/t/+Oq+fEScICCqbRbfxqitM25TTY1v4eQkGFHTklUNguoaJVVbx/bG1PgwLXs8MaK4+ufPbmRH2A5rD4g4FBzIqn4BLRPMaQPoAp1HRxWwHbMaAPDof9MAjUrv/Wsbvu1/7ixg0bgmT0KIaZlNMLNmzRqsWLECCoUCvXv3xldffYWBAxs+VLkpHZ0TCme5Db/PGEOZJgwAYGVRe7V5YzrcVp29FSrdXPkaAEPWHHt8fPkhXVkAqH88hQvzwvgkj3nBEFsKf3G7vdaTb2ZiGi0/I2xNk6kBul/u+vpJ2A5tDwBQ3y9F7soz/MRqtc3iW1tzT11q64xbdWr8qr/UKzcltYRf8jILGT+pIVBzYFFV5Xx1qdp8Vdu5VWt86vPZZWBw/LAPAEAmlcNhlK/uOGOVmrUa0Efn7+o4eX9XeH5wDOzvEXKcRARWVqb7f86JAZEYYFoI1pP4u0aHMSYIphljTTLkm2p8CGk+ZhHMbNu2DTNmzMC6desQHByMzz//HOHh4cjMzISbm1vdFzCyirlkKqs6gslQTMtQ/pfuH1ILV3m9ZrBljMGyXFlzOnT/w0sYg9PCEACACgDTasHyi2u8pv2MngAAmdRC8I+8Q2QHcBY+4MSiOv/xZ6Vluv+WaXD7/aPweL8PHP7prTumKgOr9IO6toCkqdR1fZFMBpGJp8avWhNn6JD5qkFQVZUDloaOlmrMKKtDEw5Bhkpf9BUfcbXuP9IwD0ifcgdEHMo4JaDWfQ4dP+wDptIgf5nuGZSqSyAZ7grHoS7gpGKILGS483/HAC2D59yBEDs5wf/cWRQdV6Dw4B1Y9XRCWXoeAMDt7QDkrjwHTiKHprAEItnjZmNN3kNcCx1q2Jv5OyCCRg3dXxgATgSILNDp0EGIJI9/AGhLSoByA+fXoT4+hNSLWQQzn332GaZMmYJXXtGN5Fm3bh327t2LDRs24P333zdp2VwLbVB65z4e2ZRWasf/e9VnTjgihO/oaMHVmJeptShY8ycAwD62a72ahDSlZdi2f2Gd+SJUJVCKHwdblho1vk1aafB9Ktz/X31yc0DFPTWqus8VN77a33P3bnBWj6/DypTIGTvWoHPvPyiAqETd6DI0CmOA2oAaKokMqPzFV8d5Sk0ZLJV1P98d//gBMsnjoKOsvAz/L2F83eWpQ9jm0MZdoMvf/90qPLxrxHZY/F0zk5uTDVGZLtDQKnWBell5GZ/3r4d/gfs7UMwc+TTAieD4jy8e7xv4I8Iu9EOIbXQLmz7cOx3QqCDxDILNgH8h8yldHx7HiK8AABnDRwCqYlQNesAYoK30WRNJ4Ph9PLCtSLc72QUQQ1flCgAW0BvoMC3j83CSx+msnOluKXq8kjxjDCivPS9EgLac6cpXDkDNgC26kW6IdtLl0f6dt6LfXKXrotJ1oWG157XA48+wvrz4+/6NyVvxfDgAFg3MW/F8xHj8GWnNeevx/7N9l+4wJY7pm9WtBVGpVJDL5fjpp58wttIXUUxMDPLz87Fnz55q5yiVSiiVj2soCgsL4e3tjYKCAtjZ2TVJuR6UPMLwHYOwP0M3NPp/2V9jTIc3AQBpeb8j0OlJXHt0HmfuJ0DMSfCczwz+3P/dWouScl0H2wC7gejtrPvH/acbnwEA/un9OgDgl1vroGEm/kIlxIyIOV3AXPnvRgQROE4MxrTQ8hEB4CB1Q7lWjaLyh+hq2x9BLrrO+j/d+AwapoaYswDAQcvKwf4OQDiIIOLEYNBCyzT4R/spsJU4IenuD7ivvAMxJ8FTni/AydKT/3uu/Ld/KGcbcstuAAA8ZX4Y6jEeecocJN7dxOcZ4RkFF6v2/P5PNz6Dk6UHnvJ8sdbyOUk98HS7GBSrC2AtsefzPuH6T7S37orT9xNws+iSoDxlmhLsyf6Kf3YVaecfJONyoa5jttzCDmO830C5VgULkZS/bpDzCHSy7Y0LeUfwZ+EZwXUBYFvWsmrXzcg/gQsPD1c7Xvl9BToOQXeHQfiz4Az+yHu8TMtE3zkAgN03v4RSqwvWu9mHoJfTUP7f2grjOr4LC5FU8G9tV7v+CHIegZtFF3Hir1/4vJEdpsNKLMf+2+tRqNYNWPCz7Y0BLqNwu/hPHLv3eNKuf7Z/HdYSeyTe2Yg8lQIA0NG6O55wGwNF6Q0cVmzj845qNxn2Uhf8lrMZf5Xp1plrJ++CJ92fxf2y20jK+ZHP+7RXNJwsPXFEsQM5pdcBAO5WPhjuOREPlbn49W48nzfU4wW4yTrgWO5u3C7JBAC4WLbDCK+X8Eidh323/8PnHeL+HLzknXDyr724UZQOQPe5D2/3CkrKH+F/t77m8w5yi4S3dQDO3v8VVx/pRqbaWDgiwnsqVJoy7Mr+gs870OUf8LUNRGpeMjILdJ+TmdseP9OmVFhYCHt7+zq/v1t8zcz9+/eh0Wjg7u4uOO7u7o7Lly/rPWfJkiX4+OOPjVouZwsR0rKycfvvfQ0r5/94u9mHCPJqmBrbspbxf2CVaaGrrblZdJH/B7jiHxdCSP3oC/610Or6y1SRr7pXKc/fK5sXX+av8Y/2UyG3sMXBu98jzOtlAMDpvxIwwHUU7pZcw9Hcn3DgThwqAooKTpaeuFeazV9nW9YyjPSaBEdL4b9hdfk9dyfulFwB8DhIK1DdR0XNzpPu4+Ah88GJe//DzeJLgnMr/i2qquLfIjuJC0a3n1wt7WbRRXS06cH/u1RVXde1FMkwtuNb1dL+LDiDrvb9wWq4bkUgQ0hDtfiambt376Jdu3Y4fvw4QkIeBwnvvfceDh8+jJMnq/cNaI6aGaiKgU+98KjMEXglAZDJqzcdiThwllZ81aUhzUxNpWqbu6GdavWdV6rW1HKGCRja/FJf5aWQf1v3qs8lU48DlTu/GnheYzT0ntXOq0O5SouflqQ3pIhma8x7nSEWc3//HXLg/q56Z/F3gWItMMENnOvfnYUzioHfHgIdrcD90wVSsaVgvict00KlLBNcB9A132iUGvzv39f5Yxx0tfQMEHzFi/5O04JvkAIgbGkCgEE2lnCTiHGmWInbf48UrOiRUzlfbdczNO8/32wHCwlXv6YjamYy/7wtoJmp1dTMuLi4QCwWIzc3V3A8NzcXHh4ees+xtLSEpWXzDLW0tXoIbKllevcP7gJS62YpS53sberOo0cLKf1jqmLg047GubYBfxHyDUENOg+zrgLShnUqlkvk1fvFfHSt/ufVgTGGf32p/+/K3KiVGsS993ud+X5ZcVPvcf7L/ts7/DE+AMlXQ3v+Ub3LxHHCgQEVQYxgNBUeBxJclbyV908Wa8FBCy1E4DjdD6GY5U9CYmlYJ+P6sJA2fDJDQppDiw9mpFIp+vXrh6SkJL7PjFarRVJSEqZNm2bawhlCVccQz3p+2ZBmUjXwUJUAKzvX/7zKmvL/NccZJUjmOM4oX4amYCEVYeoXw/SmGRLo6KuPZDUcr69XKOggpEm1+GYmQDc0OyYmBt988w0GDhyIzz//HNu3b8fly5er9aXRx9BqqnphDKhp7RxDv/iA5vvya03+buID0KjajlrpqwkxZK0k+n9mFhhjKFc1fnmGhqKggxDDtJpmJgCYOHEi/vrrL3z00UdQKBTo06cPEhISDApkjKapfhnXFvS0pCaqlkoqb55nZKSaEGIarakGihBiJsEMAEybNs08mpUA3a/zD+7WnF6fmhtCCCGE1MpsghmzUtev+NqCndoCHUObOiruQdXYhBBC2gAKZkzB0CaLqp2H61OjQ01UhBBC2ggKZlqyttoUVVcNVF0jxAghhLQpFMyYK32jeFpLXxx1yePRSoQQQkgdKJhpaerqPFw5H/WJIYQQQiiYaXFoCLBQXfPISIwwxwwhhBCzQsEMadmaax4ZQgghZqvpVjYkhBBCCDEBCmYIIYQQYtYomCGEEEKIWaNghhBCCCFmjYIZQgghhJg1Gs1ETKO2WX5phl9CCCH1QMEMMQ2a5ZcQQkgToWYmQgghhJg1qpkhplfbLL80wy8hhJA6UDBDTI9m+SWEENII1MxECCGEELNGwQwhhBBCzBoFM4QQQggxaxTMEEIIIcSsUTBDCCGEELNGwQwhhBBCzBoFM4QQQggxaxTMEEIIIcSs0aR5rVVtizVK5ADHNV9ZCCGEECOiYKa1Wtm55rQP7tKMu4QQQloNamYihBBCiFmjmpnWRCLX1brooyqpvbaGEEIIMVMUzLQmHEfNR4QQQtocamYihBBCiFmjYIYQQgghZs0owcyNGzcwefJk+Pr6QiaToVOnTpg/fz5UKpUgD8dx1bYTJ04IrrVjxw4EBATAysoKgYGB2LdvnzGKTAghhBAzZZQ+M5cvX4ZWq8U333yDzp07Iz09HVOmTEFxcTFWrlwpyHvw4EH06NGD33d2duZfHz9+HC+88AKWLFmCf/7zn9i8eTPGjh2Lc+fOoWfPnsYoOiGEEELMDMcYY81xoxUrVmDt2rW4fv06AF3NjK+vL/744w/06dNH7zkTJ05EcXExfvnlF/7YE088gT59+mDdunUG37uwsBD29vYoKCiAnZ1do96H2VIVA5966V63hHlmWlp5CCGEtDiGfn83W5+ZgoICODk5VTv+zDPPwM3NDU8++ST++9//CtJSUlIQFhYmOBYeHo6UlJRa76VUKlFYWCjYCCGEENI6NUswc/XqVXz11Vf417/+xR+zsbHBqlWrsGPHDuzduxdPPvkkxo4dKwhoFAoF3N3dBddyd3eHQqGo9X5LliyBvb09v3l7ezftGyKEEEJIi1GvYOb999/X22m38nb58mXBOXfu3MGoUaMwfvx4TJkyhT/u4uKCGTNmIDg4GAMGDMDSpUvx0ksvYcWKFY1+U3PnzkVBQQG/3bp1q9HXJIQQQkjLVK8OwDNnzsSkSZNqzePn58e/vnv3LkJDQzFo0CB8++23dV4/ODgYiYmJ/L6Hhwdyc3MFeXJzc+Hh4VHrdSwtLWFpaVnn/QghhBBi/uoVzLi6usLV1dWgvHfu3EFoaCj69euHuLg4iER1VwKlpqbC09OT3w8JCUFSUhLeeecd/lhiYiJCQkLqU2xCCCGEtGJGGZp9584dDB8+HB07dsTKlSvx119/8WkVtSobN26EVCpFUFAQAGDnzp3YsGEDvvvuOz7v22+/jWHDhmHVqlWIiIjA1q1bcebMGYNqeQghhBDSNhglmElMTMTVq1dx9epVtG/fXpBWeST4okWLcPPmTVhYWCAgIADbtm3Dc889x6cPGjQImzdvxrx58/DBBx+gS5cu2L17N80xQwghhBBes80zY0o0zwxa3rwuLa08hBBCWpwWN88MIYQQQogxUDBDCCGEELNGwQwhhBBCzBoFM4QQQggxaxTMEEIIIcSsUTBDCCGEELNGwQwhhBBCzBoFM4QQQggxaxTMEEIIIcSsUTBDCCGEELNGwQwhhBBCzBoFM4QQQggxa0ZZNZu0cKqSmtMkcoDjmq8shBBCSCNRMNMWrexcc1pTrmDNGKCuIXCqLaAihBBC6oGCGWI86hLgUy9Tl4IQQkgrR8FMWyGR62pd9FGV1F5bQwghhLRgFMy0FRzXdM1HDTHrKiCV60+T1HCcEEIIMQAFM6R5SOWmDaYIIYS0WjQ0mxBCCCFmjYIZQgghhJg1CmYIIYQQYtYomCGEEEKIWaNghhBCCCFmjYIZQgghhJg1CmYIIYQQYtYomCGEEEKIWaNghhBCCCFmjYIZQgghhJg1CmYIIYQQYtYomCGEEEKIWaNghhBCCCFmjYIZQgghhJg1owUzPj4+4DhOsC1dulSQ58KFCxgyZAisrKzg7e2N5cuXV7vOjh07EBAQACsrKwQGBmLfvn3GKjIhhBBCzJBRa2YWLlyInJwcfps+fTqfVlhYiJEjR6Jjx444e/YsVqxYgQULFuDbb7/l8xw/fhwvvPACJk+ejD/++ANjx47F2LFjkZ6ebsxiE0IIIcSMWBjz4ra2tvDw8NCb9uOPP0KlUmHDhg2QSqXo0aMHUlNT8dlnn2Hq1KkAgC+++AKjRo3C7NmzAQCLFi1CYmIiVq9ejXXr1hmz6IQQQggxE0atmVm6dCmcnZ0RFBSEFStWoLy8nE9LSUnB0KFDIZVK+WPh4eHIzMzEw4cP+TxhYWGCa4aHhyMlJcWYxSaEEEKIGTFazcxbb72Fvn37wsnJCcePH8fcuXORk5ODzz77DACgUCjg6+srOMfd3Z1Pc3R0hEKh4I9VzqNQKGq9t1KphFKp5PcLCwub4i0RQgghpAWqV83M+++/X61Tb9Xt8uXLAIAZM2Zg+PDh6NWrF15//XWsWrUKX331lSDIMJYlS5bA3t6e37y9vY1+T0IIIYSYRr1qZmbOnIlJkybVmsfPz0/v8eDgYJSXl+PGjRvw9/eHh4cHcnNzBXkq9iv62dSUp6Z+OBXmzp2LGTNm8PuFhYUU0BBCCCGtVL2CGVdXV7i6ujboRqmpqRCJRHBzcwMAhISE4P/+7/+gVqshkUgAAImJifD394ejoyOfJykpCe+88w5/ncTERISEhNR6L0tLS1haWjaonIQQQggxL0bpAJySkoLPP/8c58+fx/Xr1/Hjjz/i3XffxUsvvcQHKi+++CKkUikmT56MixcvYtu2bfjiiy8ENSpvv/02EhISsGrVKly+fBkLFizAmTNnMG3aNGMUmzQEY4CquIatxNSlI4QQ0gYYpQOwpaUltm7digULFkCpVMLX1xfvvvuuIFCxt7fHr7/+itjYWPTr1w8uLi746KOP+GHZADBo0CBs3rwZ8+bNwwcffIAuXbpg9+7d6NmzpzGKTRpCXQJ86mXqUhBCCGnDOMYYM3UhjK2wsBD29vYoKCiAnZ2dqYvT8qiKHwckH9wFpNYNO7c29b0uIYSQNs/Q72+jTppH2phZVwGpXH+apIbjhBBCSCNRMEOajlROtS+EEEKaHa2aTQghhBCzRsEMIYQQQswaBTOEEEIIMWsUzBBCCCHErFEwQwghhBCzRsEMIYQQQswaBTOEEEIIMWsUzBBCCCHErFEwQwghhBCzRsEMIYQQQswaBTOEEEIIMWsUzBBCCCHErFEwQwghhBCzRsEMIYQQQswaBTOEEEIIMWsUzBBCCCHErFEwQwghhBCzRsEMIYQQQswaBTOEEEIIMWsWpi4AaWFUJTWnSeQAxzVfWQghhBADUDBDhFZ2rjntg7uA1Lr5ykIIIYQYgJqZCCGEEGLWqGaG6JqPPrirP01VUnttDSGEEGJiFMwQXT8Yaj4ihBBipqiZiRBCCCFmjYIZQgghhJg1CmYIIYQQYtYomCGEEEKIWaNghhBCCCFmjYIZQgghhJg1owQzhw4dAsdxerfTp08DAG7cuKE3/cSJE4Jr7dixAwEBAbCyskJgYCD27dtnjCITQ6hKAFVxla2W5Q8IIYSQZmCUeWYGDRqEnJwcwbEPP/wQSUlJ6N+/v+D4wYMH0aNHD37f2dmZf338+HG88MILWLJkCf75z39i8+bNGDt2LM6dO4eePXsao+ikNjR5HiGEkBbIKMGMVCqFh4cHv69Wq7Fnzx5Mnz4dXJWFCp2dnQV5K/viiy8watQozJ49GwCwaNEiJCYmYvXq1Vi3bp0xik4IIYQQM9MsMwD/97//xYMHD/DKK69US3vmmWdQVlaGrl274r333sMzzzzDp6WkpGDGjBmC/OHh4di9e7exi0wq1LbUgb68hBBCSDNrlmBm/fr1CA8PR/v27fljNjY2WLVqFQYPHgyRSISff/4ZY8eOxe7du/mARqFQwN3dXXAtd3d3KBSKWu+nVCqhVCr5/cLCwiZ8N20MLXVACCGkhatXB+D333+/xo69Fdvly5cF59y+fRsHDhzA5MmTBcddXFwwY8YMBAcHY8CAAVi6dCleeuklrFixotFvasmSJbC3t+c3b2/vRl+TEEIIIS1TvWpmZs6ciUmTJtWax8/PT7AfFxcHZ2dnQfNRTYKDg5GYmMjve3h4IDc3V5AnNze3xj42FebOnStoniosLKSAhhBCCGml6hXMuLq6wtXV1eD8jDHExcUhOjoaEomkzvypqanw9PTk90NCQpCUlIR33nmHP5aYmIiQkJBar2NpaQlLS0uDy0kIIYQQ82XUPjO//fYbsrKy8Nprr1VL27hxI6RSKYKCggAAO3fuxIYNG/Ddd9/xed5++20MGzYMq1atQkREBLZu3YozZ87g22+/NWaxCSGEEGJGjBrMrF+/HoMGDUJAQIDe9EWLFuHmzZuwsLBAQEAAtm3bhueee45PHzRoEDZv3ox58+bhgw8+QJcuXbB7926aY4YQQgghPI4xxkxdCGMrLCyEvb09CgoKYGdnZ+riEEIIIcQAhn5/09pMhBBCCDFrFMwQQgghxKxRMEMIIYQQs0bBDCGEEELMGgUzhBBCCDFrFMwQQgghxKxRMEMIIYQQs9Ysq2abWsVUOrR6NiGEEGI+Kr6365oSr00EM48ePQIAWmySEEIIMUOPHj2Cvb19jeltYgZgrVaLu3fvwtbWFhzHmbo4AB6v5H3r1i2alVgPej51o2dUN3pGdaNnVDt6PnUz5jNijOHRo0fw8vKCSFRzz5g2UTMjEonQvn17UxdDLzs7O/oDqQU9n7rRM6obPaO60TOqHT2fuhnrGdVWI1OBOgATQgghxKxRMEMIIYQQs0bBjIlYWlpi/vz5sLS0NHVRWiR6PnWjZ1Q3ekZ1o2dUO3o+dWsJz6hNdAAmhBBCSOtFNTOEEEIIMWsUzBBCCCHErFEwQwghhBCzRsGMES1YsAAcxwm2gIAAPr2srAyxsbFwdnaGjY0Nxo0bh9zcXBOW2PiOHDmCMWPGwMvLCxzHYffu3YJ0xhg++ugjeHp6QiaTISwsDFeuXBHkycvLQ1RUFOzs7ODg4IDJkyejqKioGd+FcdX1jCZNmlTtczVq1ChBntb8jJYsWYIBAwbA1tYWbm5uGDt2LDIzMwV5DPnbys7ORkREBORyOdzc3DB79myUl5c351sxCkOez/Dhw6t9hl5//XVBntb6fABg7dq16NWrFz8vSkhICPbv38+nt+XPT4W6nlFL+wxRMGNkPXr0QE5ODr/9/vvvfNq7776L//3vf9ixYwcOHz6Mu3fv4tlnnzVhaY2vuLgYvXv3xpo1a/SmL1++HF9++SXWrVuHkydPwtraGuHh4SgrK+PzREVF4eLFi0hMTMQvv/yCI0eOYOrUqc31FoyurmcEAKNGjRJ8rrZs2SJIb83P6PDhw4iNjcWJEyeQmJgItVqNkSNHori4mM9T19+WRqNBREQEVCoVjh8/jo0bNyI+Ph4fffSRKd5SkzLk+QDAlClTBJ+h5cuX82mt+fkAQPv27bF06VKcPXsWZ86cwVNPPYXIyEhcvHgRQNv+/FSo6xkBLewzxIjRzJ8/n/Xu3VtvWn5+PpNIJGzHjh38sYyMDAaApaSkNFMJTQsA27VrF7+v1WqZh4cHW7FiBX8sPz+fWVpasi1btjDGGLt06RIDwE6fPs3n2b9/P+M4jt25c6fZyt5cqj4jxhiLiYlhkZGRNZ7T1p7RvXv3GAB2+PBhxphhf1v79u1jIpGIKRQKPs/atWuZnZ0dUyqVzfsGjKzq82GMsWHDhrG33367xnPa0vOp4OjoyL777jv6/NSi4hkx1vI+Q1QzY2RXrlyBl5cX/Pz8EBUVhezsbADA2bNnoVarERYWxucNCAhAhw4dkJKSYqrimlRWVhYUCoXgmdjb2yM4OJh/JikpKXBwcED//v35PGFhYRCJRDh58mSzl9lUDh06BDc3N/j7++ONN97AgwcP+LS29owKCgoAAE5OTgAM+9tKSUlBYGAg3N3d+Tzh4eEoLCwU/PJsDao+nwo//vgjXFxc0LNnT8ydOxclJSV8Wlt6PhqNBlu3bkVxcTFCQkLo86NH1WdUoSV9htrE2kymEhwcjPj4ePj7+yMnJwcff/wxhgwZgvT0dCgUCkilUjg4OAjOcXd3h0KhME2BTazifVf+8FfsV6QpFAq4ubkJ0i0sLODk5NRmntuoUaPw7LPPwtfXF9euXcMHH3yA0aNHIyUlBWKxuE09I61Wi3feeQeDBw9Gz549AcCgvy2FQqH3c1aR1lroez4A8OKLL6Jjx47w8vLChQsXMGfOHGRmZmLnzp0A2sbzSUtLQ0hICMrKymBjY4Ndu3ahe/fuSE1Npc/P32p6RkDL+wxRMGNEo0eP5l/36tULwcHB6NixI7Zv3w6ZTGbCkhFz9vzzz/OvAwMD0atXL3Tq1AmHDh3CiBEjTFiy5hcbG4v09HRBXzTyWE3Pp3L/qcDAQHh6emLEiBG4du0aOnXq1NzFNAl/f3+kpqaioKAAP/30E2JiYnD48GFTF6tFqekZde/evcV9hqiZqRk5ODiga9euuHr1Kjw8PKBSqZCfny/Ik5ubCw8PD9MU0MQq3nfVUQOVn4mHhwfu3bsnSC8vL0deXl6bfW5+fn5wcXHB1atXAbSdZzRt2jT88ssvSE5ORvv27fnjhvxteXh46P2cVaS1BjU9H32Cg4MBQPAZau3PRyqVonPnzujXrx+WLFmC3r1744svvqDPTyU1PSN9TP0ZomCmGRUVFeHatWvw9PREv379IJFIkJSUxKdnZmYiOztb0CbZlvj6+sLDw0PwTAoLC3Hy5En+mYSEhCA/Px9nz57l8/z222/QarX8H1Nbc/v2bTx48ACenp4AWv8zYoxh2rRp2LVrF3777Tf4+voK0g352woJCUFaWpog6EtMTISdnR1fjW6u6no++qSmpgKA4DPUWp9PTbRaLZRKZZv//NSm4hnpY/LPUJN3KSa8mTNnskOHDrGsrCx27NgxFhYWxlxcXNi9e/cYY4y9/vrrrEOHDuy3335jZ86cYSEhISwkJMTEpTauR48esT/++IP98ccfDAD77LPP2B9//MFu3rzJGGNs6dKlzMHBge3Zs4dduHCBRUZGMl9fX1ZaWspfY9SoUSwoKIidPHmS/f7776xLly7shRdeMNVbanK1PaNHjx6xWbNmsZSUFJaVlcUOHjzI+vbty7p06cLKysr4a7TmZ/TGG28we3t7dujQIZaTk8NvJSUlfJ66/rbKy8tZz5492ciRI1lqaipLSEhgrq6ubO7cuaZ4S02qrudz9epVtnDhQnbmzBmWlZXF9uzZw/z8/NjQoUP5a7Tm58MYY++//z47fPgwy8rKYhcuXGDvv/8+4ziO/frrr4yxtv35qVDbM2qJnyEKZoxo4sSJzNPTk0mlUtauXTs2ceJEdvXqVT69tLSUvfnmm8zR0ZHJ5XL2//7f/2M5OTkmLLHxJScnMwDVtpiYGMaYbnj2hx9+yNzd3ZmlpSUbMWIE+//t3XlQU9fbB/BvEEgIjJiIgAsmWmqMFHV0lLqgUhe0Sl2ouy1aK6KtolQUWh2QqQ4jLnVGraUdlqlLNXWpqNBBlOooojIBi2AQR4ZqsFrEHQX1ef/oy/15IUBiUYw+n5n8ce/Zz7kJJ4dzcw0GgyiP8vJymjp1Kjk5OVHLli1p1qxZdO/evWZozcvRUB89fPiQRowYQW3atCE7OztSqVQ0Z84c0e2PRG92H5nqGwCUmJgoxDHnvVVSUkKjRo0iBwcHcnFxoa+++oqqq6tfcWuaXmP9U1paSoMGDSKlUklSqZQ8PT0pPDyc7ty5I8rnTe0fIqLPPvuMVCoV2dvbU5s2bWjo0KHCRIbo7b5+ajTUR6/jNcRPzWaMMcaYVeM9M4wxxhizajyZYYwxxphV48kMY4wxxqwaT2YYY4wxZtV4MsMYY4wxq8aTGcYYY4xZNZ7MMMYYY8yq8WSGMcYYY1aNJzOMveWio6PRs2fPBuPMnDkT48aNeyX1eR2VlJRAIpEIz59hrw8iQnBwMJRKpdljVHs8MzMzIZFI6jxcklkPnsywZnXz5k3MmzcPHTt2hFQqhbu7O/z9/XHy5EkAgFqthkQigUQigVwuh7e3N3766admrrXlaj48a79Onz4tiqfT6dC1a1fIZDJ4e3vj8OHDTVoPiUSC/fv3W5xu48aNSEpKsijNo0eP8MUXX6B169ZwcnJCYGBgnafoWqu8vDxMnToVHh4ecHBwgFarrfdpwtaqqcbv/Pnz8PX1hUwmg4eHB9asWSMKv3DhAgIDA4X3+nfffWdR/mlpaUhKSsLBgwdRVlaG9957r9E0Hh4eZsdl1oEnM6xZBQYGQq/XIzk5GUVFRThw4ACGDBmC8vJyIU5MTAzKysqQn5+PGTNmYM6cOUhNTW3GWr+4I0eOoKysTHj17t1bCDt16hSmTp2K2bNnQ6/XY9y4cRg3bhzy8/Obscb/cnZ2RqtWrSxKs3jxYqSkpECn0+GPP/6A0WjEhAkTXk4FX7GcnBy4urpi27ZtuHDhAr755htERkZi06ZN/ynfqqqqJqrhf9cU43f37l2MGDECKpUKOTk5iIuLQ3R0NOLj44U4Dx8+ROfOnREbGwt3d3eL63n58mW0bdsW/fv3h7u7O2xtbRtN06JFC7PjMivxUp74xJgZKioqCABlZmbWG0elUtGGDRtE55RKJS1evNisMgYPHmzyoXtXrlwhon8fyrdlyxYaOXIkyWQy6tSpE+l0OlEe2dnZ1LNnT5JKpdS7d2/au3cvASC9Xi/EOXToEL377rskk8loyJAhlJiYSACooqKCiIiuXLlSJ01tkyZNotGjR4vO+fj40Ny5c81qq0qlopiYGJoyZQrJ5XJq164dbdq0SRT+fB+oVCoiIoqKiqIePXrQ1q1bqUOHDuTg4EATJ06k27dvC2mDgoJo7Nixon5dsGABhYeHk0KhIDc3N4qKihLCb9++TXZ2dqK+LCwsJACUlZXVaFtqHrZ58OBB8vb2JqlUSj4+PvTnn38KcRITE8nZ2ZnS0tKoa9eu5OjoSP7+/mQ0GuvUe9WqVeTq6krOzs60cuVKqq6upiVLlpBCoaD27dtTQkKCqHxzxry2+fPnk5+fn3BsSb9+++231LZtW1Kr1UREdP78efLz8yOZTEZKpZLmzJkjelBoTbq4uDhyd3cnpVJJ8+fPp6qqKiGO0WikDz/8kGQyGanVatq+fbvJ95Mp5oyfOWO0ZcsWUigU9PjxY+HcsmXLSKPRmCzX3Po93w+mrunU1FQaMGAAOTs7k1KppNGjR4se8lv7/VjTlpr3K7M+vDLDmo2TkxOcnJywf/9+PH78uNH4z549w549e1BRUQF7e3uzyti7d69oJWTChAnQaDRwc3MT4qxYsQKBgYHIy8vD9OnTMWXKFBQWFgIA7t+/jzFjxqBbt27IyclBdHQ0lixZIirjr7/+woQJExAQEIDc3Fx8/vnniIiIMFmfjz76CK6urhg4cCAOHDggCsvKysKwYcNE5/z9/ZGVlWVWWwEgLi4OPXr0gF6vR0REBEJDQ5Geng4AOHv2LAAgMTERZWVlwjEAFBcXY/fu3UhJSUFaWhr0ej3mz5/fYFnJyclwdHREdnY21qxZg5iYGKGsnJwcVFdXi9rTtWtXdOzY0aL2hIeHY926dTh79izatGmDgIAAVFdXC+EPHz7E2rVr8fPPP+P48eMoLS2tMz5Hjx6F0WjE8ePHsX79ekRFRWHMmDFQKBTIzs5GSEgI5s6di6tXrwIwb8xNuXPnDpRKpeicOf2akZEBg8GA9PR0HDx4EA8ePIC/vz8UCgXOnj0LnU6HI0eO4MsvvxSlO3bsGC5fvoxjx44hOTkZSUlJon8FfvrppzAajcjMzMSePXsQHx+PGzdumNXvloxfQ2OUlZWFQYMGid6v/v7+MBgMqKioMKsuDdm4cSNiYmLQoUMH0TX94MEDhIWF4dy5c8jIyICNjQ3Gjx+PZ8+e/ecy2WuquWdT7O3266+/kkKhIJlMRv3796fIyEjKy8sTwmseQe/o6Ei2trYEgJRKJV26dMnistavX0+tWrUig8EgnANAISEhong+Pj40b948IiL64YcfqHXr1lRZWSmEf//996JvdZGRkdStWzdRHsuWLRN907t58yatW7eOTp8+TWfOnKFly5aRRCKh3377TUhjZ2dHO3bsEOWzefNmcnV1Nat9KpWKRo4cKTo3efJkGjVqlKi9+/btE8WJioqiFi1a0NWrV4VzqampZGNjQ2VlZURkemVm4MCBonz69OlDy5YtIyKi7du3k729fZ069unTh5YuXdpoW2q+Kf/yyy/CufLycnJwcKBdu3YREQmrX89/4968eTO5ubkJx0FBQaRSqejp06fCOY1GQ76+vsLxkydPyNHRkXbu3ElE5o15bSdPniRbW1v6/fffhXPm9qubm5to5SI+Pp4UCgXdv39fOHfo0CGysbGh69evi9r15MkTIc7EiRNp8uTJRPS/VZSzZ88K4ZcuXSIAZq18mDN+5ozR8OHDKTg4WJTHhQsXCAAVFBTUyd/SlRkiog0bNggrMvW5efMmARBWjXhl5s3DKzOsWQUGBsJoNOLAgQMYOXIkMjMz0atXL9E3zPDwcOTm5uLo0aPw8fHBhg0b4OnpaVE5qampiIiIwK5du9ClSxdRWL9+/eoc16zMFBYWonv37pDJZPXGLywshI+PT4N5uri4ICwsDD4+PujTpw9iY2MxY8YMxMXFWdSOxjTUloZ07NgR7du3F6V79uwZDAZDvWm6d+8uOm7btq3Z3/zN9Xx7lEolNBqNqD1yuRzvvPNOg3Xw8vKCjc3/Purc3Nzg7e0tHLdo0QKtW7cW0pkz5s/Lz8/H2LFjERUVhREjRojCzOlXb29v0cpFYWEhevToAUdHR+HcgAED6qTz8vJCixYtTLbdYDDA1tYWvXr1EsI9PT2hUCjqbceLamyMmsOlS5cwdepUdO7cGS1btoRarQYAlJaWNmu92MvDkxnW7GQyGYYPH44VK1bg1KlTmDlzJqKiooRwFxcXeHp6wtfXFzqdDgsXLkRBQYHZ+RcUFGDKlCmIjY2t88emOfn4+KC4uFg4dnd3r3O3yN9///1CmyJfBTs7O9GxRCIRlvHd3d1RVVVV51bXpm6PqToQUaNxGqq7JQoKCjB06FAEBwdj+fLlFqcHIJq0WKKp2mBKU41ffdd0TdjLEhAQgFu3buHHH39EdnY2srOzAbxeG6xZ0+LJDHvtdOvWDQ8ePDAZ5uHhgcmTJyMyMtKsvP755x8EBAQgMDAQixcvNhmn9u3Rp0+fhlarBQBotVqcP38ejx49qje+VqvFmTNnGszTlNzcXLRt21Y47tevHzIyMkRx0tPTG1wVqK2htgD//gF8+vRpnXSlpaUwGo2idDY2NtBoNGaX/bzevXvDzs5O1B6DwYDS0tIXbk9FRQWKiopE7XkZzBlz4N9biv38/BAUFIRVq1aZzOtF+lWr1SIvL0/0Hjh58qRF46HRaPDkyRPo9XrhXHFxsdn7VCwZv4bGqF+/fjh+/Lhon1N6ejo0Gs1LWSUCgPLychgMBixfvhxDhw6FVqttkv057PXGkxnWbMrLy/HBBx9g27ZtOH/+PK5cuQKdToc1a9Zg7Nix9aYLDQ1FSkoKzp0712gZgYGBkMvliI6OxvXr14XX83/QdTodEhISUFRUhKioKJw5c0bYbDlt2jRIJBLMmTMHBQUFOHz4MNauXSsqIyQkBJcuXUJ4eDgMBgN27NhR5zdZkpOTsXPnTly8eBEXL17E6tWrkZCQgAULFojalZaWhnXr1uHixYuIjo7GuXPn6mz8bMjJkyexZs0aFBUVYfPmzdDpdAgNDRXC1Wo1MjIycP36ddEHvEwmQ1BQEPLy8nDixAksXLgQkyZNeuFvz87Ozpg9ezbCwsJw7Ngx5OTkYNasWejXrx/ef/99s/OJiYlBRkYG8vPzMXPmTLi4uLz0H+8zZ8zz8/Ph5+eHESNGICwsTLiubt68KYr3Iv06ffp0IV1+fj6OHTuGBQsW4JNPPhFtXG9I165dMWzYMAQHB+PMmTPQ6/UIDg6Gg4MDJBJJo+ktGb+GxmjatGmwt7fH7NmzceHCBezatQsbN25EWFiYkL6qqgq5ubnIzc1FVVUVrl27htzcXNGqpSUUCgVat26N+Ph4FBcX4+jRo6Ly2BuquTftsLfXo0ePKCIignr16kXOzs4kl8tJo9HQ8uXL6eHDh0RU/4ZAf39/0cbW+sDEbdmodWv25s2bafjw4SSVSkmtVgubF2tkZWVRjx49yN7ennr27El79uypsxk0JSWFPD09SSqVkq+vLyUkJIg2FCYlJZFWqyW5XE4tW7akvn371rkFnIho9+7d1KVLF7K3tycvLy86dOiQeZ35/321cuVKmjhxIsnlcnJ3d6eNGzeK4hw4cIA8PT3J1ta2zq3ZW7ZsoXbt2pFMJqOPP/6Ybt26JaQztQE4NDRUlPfYsWMpKChIOK6srKT58+eTQqEguVxO48ePFza+NqZmQ2ZKSgp5eXmRvb099e3bV7Q5vObW7Oft27ePnv9Yq13v+upe+zprbMyjoqJMXlfPb0R9kX6tYe6t2c8LDQ2lwYMHC8dGo5FGjRpFUqmUVCoV7dixg1xdXWnr1q11yjOlsfEzZ4yIiPLy8mjgwIEklUqpffv2FBsbKwqv2Yxb+/V8WxpiagNweno6abVakkql1L17d8rMzBRtfucNwG8eCVGtfzAz9haRSCTYt2+fRd/2S0pK0KlTJ+j1+nofA5CZmQk/Pz9UVFRY/GNzL0qtVmPRokVYtGjRKynvZWqO/mtq0dHR2L9//2vzCISrV6/Cw8MDR44cwdChQ/9zfm/CGLE3B//8IWOMvYGOHj2K+/fvw9vbG2VlZVi6dCnUajUGDRrU3FVjrMnxnhlm1UaNGiX8+F7t1+rVq5u7ek3mxIkT9bbTycmpuatnsZCQkHrbEhIS0tzVeyNUV1fj66+/hpeXF8aPH482bdogMzMTdnZ22L59e7397+Xl1dxVF5SWljZ43fOt1qwG/5uJWbVr166hsrLSZJhSqazzi6zWqrKyEteuXas33NLf3WluN27cwN27d02GtWzZEq6urq+4Rm+Xe/fu1fvQSDs7O6hUqldcI9OePHmCkpKSesPVajU/X4kB4MkMY4wxxqwc/5uJMcYYY1aNJzOMMcYYs2o8mWGMMcaYVePJDGOMMcasGk9mGGOMMWbVeDLDGGOMMavGkxnGGGOMWTWezDDGGGPMqv0fRCYVrh4lIDwAAAAASUVORK5CYII=", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"out = moment_morph(hs, params=params, param_interp=125, components=True, vertical_only=True)\n", | |
"hep.histplot(out, zorder=3, label=[f\"Component ({p})\" for p in params]);\n", | |
"out = moment_morph(hs, params=params, param_interp=125)\n", | |
"hep.histplot(out, zorder=3, label=\"Result\", ls=\":\");\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "ae8507e7-1909-4154-b02f-72b3aa7db50b", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "ecc1b08c-4f38-40e6-ba99-e26f0673e622", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "0b25930f-261f-4060-a561-32d955e427fc", | |
"metadata": {}, | |
"source": [ | |
"## Batch make templates (only interp two nearest templates)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 62, | |
"id": "4de77897-4cb4-4932-bdda-bdb209cab420", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/anovak/software/miniforge3/envs/combine/lib/python3.10/site-packages/scipy/stats/_continuous_distns.py:11527: RuntimeWarning: invalid value encountered in divide\n", | |
" self._hpdf = self._hpdf / float(np.sum(self._hpdf * self._hbin_widths))\n" | |
] | |
} | |
], | |
"source": [ | |
"odict = {}\n", | |
"params = [50, 75, 100, 125, 150, 200, 250]\n", | |
"for smp in [\"zpqq\", \"zpbb\"]:\n", | |
" for ptbin in [0, 1, 2, 3, 4]:\n", | |
" for region in [\"fail\", \"pass_lowbvl\", \"pass_highbvl\"]:\n", | |
" for interp in np.arange(50, 255, 5):\n", | |
" nearest = sorted([params[np.argsort(np.abs(params-interp))[0]], params[np.argsort(np.abs(params-interp))[1]]])\n", | |
" mass_hists = []\n", | |
" for param in nearest:\n", | |
" mass_hists.append(f[f\"SR_{smp}{param}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist())\n", | |
" out = moment_morph(mass_hists, params=nearest, param_interp=interp)\n", | |
" odict[f\"SR_{smp}{interp}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"] = out\n", | |
"\n", | |
" # break" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 63, | |
"id": "15f04bf7-ceb4-498e-957a-eef98f3e475b", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"for interp in np.arange(50, 255, 5):\n", | |
" odict[f'SR_zpqq{interp}_ptbin0_pnmd2prong_0p01_fail'].plot(yerr=False);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 64, | |
"id": "9461f4e4-aff3-4e3c-afd9-d6151cbb8d18", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"root_file = uproot.recreate(\"signals_interpolated.root\")\n", | |
"for k, v in odict.items():\n", | |
" if k not in f.keys():\n", | |
" root_file[k] = v\n", | |
" else:\n", | |
" print(\"Skipping\", k)\n", | |
"root_file.close()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1135, | |
"id": "0485bebb-c46b-4dea-bda0-36ce49efe9f4", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "4cb6a1dd-06f0-44c3-9b56-97e2210c76ba", | |
"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": "3.10.0" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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