From e7e1005bee546e6d584e998912322be411d9e1e1 Mon Sep 17 00:00:00 2001 From: Daniel Wenz Date: Mon, 14 Aug 2023 10:37:28 -0500 Subject: [PATCH] Added more explanation, extended example --- IminuitExample.ipynb | 1237 +++++++++++++++++++++++++----------------- 1 file changed, 726 insertions(+), 511 deletions(-) diff --git a/IminuitExample.ipynb b/IminuitExample.ipynb index 471b8be..ed5cf22 100644 --- a/IminuitExample.ipynb +++ b/IminuitExample.ipynb @@ -1489,7 +1489,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 105, "id": "143a2a23-0a62-439f-9d28-9f555ae85589", "metadata": {}, "outputs": [ @@ -1499,13 +1499,13 @@ "Text(0, 0.5, 'Number of counts per bin')" ] }, - "execution_count": 69, + "execution_count": 105, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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vFYy23RUnRiRyDZxBmYhcQmpCC/F+TmZfo213ZGlixELdbRmjIvJMNjVjZWZmYu7cuQgKCkJmZqbVcxctWmSXwIjIc7lLh2RrODEikeuwKdn54YcfcOfOHfG+JYYTDBIReTJOjEjkOmxKdnbu3Gn2PhERmRepbsSJEYlcRIMWAr106RIAoGXLlnYJhohIz90X2dTqypGa0EJMdnIy+3I0FpFMJHdQrqqqwowZM6BWqxETE4OYmBio1Wq8+uqrYlMXEZEnMh19ZbithH5IRO5Kcs3OCy+8gA0bNmDhwoXQaDQAgNzcXMyaNQvXrl3D0qVL7R4kEZGrq2sWaCKSj+RkZ926dfjkk08wePBgcV+XLl3QsmVLjBgxgskOEXkkzgJN5LokJzv+/v6IiYmptT82NhZ+fn72iImIPJC799HxhFmgidyV5D4748ePx9y5c1FRUSHuq6iowLx58zB+/Hi7BkdE5C6UOgs0kRLYVLOTkpJitJ2Tk4MWLVqga9euAIAff/wRlZWVSExMtH+ERERuwnT0VaS6kbhNRPKxKdlRq9VG26mpqUbbHHpORGSMo6+IXIdNyc6qVascHQcRkeK4ez8kIqXgQqBERESkaEx2iIiISNGY7BAREZGiMdkhIlmUVVYhJmszYrI2o6yySu5wiEjBJCU7d+7cQWJiIs6dO+eoeIiIiIjsSlKy4+vri2PHjjkqFiIiIiK7k9yM9fTTT2PFihWOiIWIyK3ph5pfXJCMQD/Jq/EQkYNIfjdWVVVh5cqVyMnJQUJCAoKCgoyOL1q0yG7BERERETWU5GTnxIkT6NGjBwDg7NmzRsdUKpV9oiIiIiKyE8nJzs6dOx0RBxEREZFD1HvoeV5eHrZu3Yrbt28DAARBsFtQRERERPYiOdm5du0aEhMTcc899+DRRx9FYWEhACA9PR1Tpkyxe4BEpHxaXbncIRCRgklOdiZPngxfX18UFBQgMDBQ3D9s2DBs2bLFrsERkXJ9ceRn8X7Sot349FCBjNEQkZJJ7rPz3XffYevWrWjRooXR/vbt2+Onn36yW2BEpFyFutt4beNJcbtGAF7ecAIP3ROGKHWAjJERkRJJrtkpLS01qtHRu379Ovz9/e0SFBEpW/7VUtSYdPOrFgRcvFomT0BEpGiSk50HH3wQH3zwgbitUqlQU1ODhQsX4uGHH7ZrcESkTLHNg+BlMlOFt0qFmOa1f0gRETWU5GashQsXIjExEYcPH0ZlZSVeeuklnDx5EtevX8fevXsdESMRKUyUOgCzh3TCjK/vNmV5qYD5KZ3ZhEVEDiG5Zqdz5844e/Ys+vTpgyeeeAKlpaVISUnBDz/8gLZt2zoiRiJSoNSE3/r95WT2xbD7W8kYjXNwpXciedRrnh21Wo1XXnkFn332Gf71r3/h9ddfR1RUVIMCWbBgAVQqFSZNmiTuKy8vR0ZGBpo1a4bg4GCkpqaiqKjI6HEFBQVITk5GYGAgwsPDMXXqVFRV8UOEyNVY+6KPVDeSKSoi8gT1Wqnuxo0bWLFiBU6fPg0AiIuLw+jRo9G0adN6BXHo0CG899576NKli9H+yZMnY/PmzVi/fj3UajXGjx+PlJQUsbmsuroaycnJiIyMxL59+1BYWIhnnnkGvr6+mD9/fr1iIXJHZZVViJu5FQBwas5ALkJJRGRAcs3Onj17EBMTg8WLF+PGjRu4ceMGFi9ejNjYWOzZs0dyALdu3UJaWhqWL1+OJk2aiPt1Oh1WrFiBRYsWoX///khISMCqVauwb98+7N+/H8DdYfCnTp3CRx99hG7dumHw4MGYO3culixZgsrKSsmxEBERkfJITnYyMjIwbNgw5OfnY8OGDdiwYQMuXLiA4cOHIyMjQ3IAGRkZSE5ORlJSktH+I0eO4M6dO0b7O3bsiFatWiE3NxcAkJubi/j4eERERIjnDBw4ECUlJTh58iQsqaioQElJidGNiIiIlElyspOXl4cpU6bA29tb3Oft7Y3MzEzk5eVJeq5PPvkE//nPf5CdnV3rmFarhZ+fH0JDQ432R0REQKvViucYJjr64/pjlmRnZ0OtVou3li1bSoqbiIiI3IfkZKdHjx5iXx1Dp0+fRteuXW1+nkuXLmHixIlYu3YtGjVybufE6dOnQ6fTibdLly459fpERETkPJJ7MU6YMAETJ05EXl4eevXqBQDYv38/lixZggULFuDYsWPiuaYdjg0dOXIEV65cQY8ePcR91dXV2LNnD/7xj39g69atqKysRHFxsVHtTlFRESIjIwEAkZGROHjwoNHz6kdr6c8xx9/fn7M9ExEReQjJyc6IESMAAC+99JLZYyqVCoIgQKVSobq62uLzJCYm4vjx40b7Ro8ejY4dO2LatGlo2bIlfH19sX37dqSmpgIAzpw5g4KCAmg0GgCARqPBvHnzcOXKFYSHhwMAtm3bhpCQEMTFxUktGhE5UaCfDy4uSJY7DNlodeVoExYsdxhEHkFyspOfn2+XCzdu3BidO3c22hcUFIRmzZqJ+9PT05GZmYmmTZsiJCQEL7zwAjQajVijNGDAAMTFxWHkyJFYuHAhtFotXn31VWRkZLDmhjyWO3yJukOMjmC60nt2SrxHTKZIJDfJyU7r1q0dEYdZb731Fry8vJCamoqKigoMHDgQ7777rnjc29sbmzZtwrhx46DRaBAUFIRRo0Zhzpw5TouRyBW4w5eoO8ToSFzpnUg+KkEQhLpPU7aSkhKo1WrodDqEhITIHQ6RJIW62+i9YIfRKuLeKhW+z3rYZb5E3SFGR9t3/ir+uPxArf0fj+kFTdtmMkRE5P5s/f6u13IRROQ68q+WGiURAFAtCLh4tUyegMxwhxgdjSu9E8mHyQ6Rm3OHL1F3iNHR9Cu963mp7iZ8muwdXBSUyMGY7BC5OXNfovNTOrtU85A7xOgMhiu9f/NCbxkjIfIskpOdS5cu4eeff+toePDgQUyaNAnvv/++XQMjItsZfonmZPZ1yY6/7hCjM0WEcKV3ImeRnOz88Y9/xM6dOwHcXZLhkUcewcGDB/HKK69wFBSRCwgJ8EFM1mbEZG1GWWUVyiqrjLZdQaSaX/RE5DySk50TJ07ggQceAAB89tln6Ny5M/bt24e1a9di9erV9o6PiIiIqEEkJzt37twRJ+zLycnBkCFDANxdkbywsNC+0RGRS3PFWiMiIlOSk51OnTph2bJl+Pe//41t27Zh0KBBAIDLly+jWTPOFUFERESuRXKy88Ybb+C9995Dv379MGLECHGl840bN4rNW0REZDutrlzuEIgUTfJyEf369cPVq1dRUlKCJk2aiPvHjh2LoKAguwZH5CnKKqsQN3MrAODUnIEI9PORdJzcg+Hipx/mXhT3e+LyGUTOJLlmp3///rh586ZRogMATZs2xbBhw+wWGBG5N9P+PPov+osLkj0+WbO0Tlah7raMUREpl+RPnF27dqGysrLW/vLycvz73/+2S1BEJI1hjYFhR2GtrtxomLenrjbuaqwtn+FpEy0SOYPNyc6xY8fE+6dOnYJWqxW3q6ursWXLFvzud7+zb3REJJnp6uJDukYbbbO5RH765TNMF0b1pOUziJzJ5mSnW7duUKlUUKlU6N+/f63jAQEBeOedd+waHBFJY6555Kujl422X95wAg/dE8YaBBnpl8+Y8fXd18pTl88gchabk538/HwIgoA2bdrg4MGDCAsLE4/5+fkhPDwc3t7eDgmSiIxZ6rBsrnnEVEOaS0yva4hNZNKkJrQQk52czL782xE5kM3JTuvWrQEANTU1DguGiBrGXPOIKXs2l5g2mbGJrH64fAaRY9VrSMS5c+ewc+dOXLlypVbyM3PmTLsERuSp6qohMe10bMhc88iQrtFiU5aXCpg1JA6a7B0AGjaMXasrNzuiiE1kRORqJH/KLV++HOPGjUPz5s0RGRkJlUolHlOpVEx2iOqhrhoS0+Ozh3Sy+FymzSOR6kZisqPf1h8H6j+Hz0/XbB9RxCYuIpKT5GTn9ddfx7x58zBt2jRHxEPkcSzNuaKvITF33HDbGtMaIHs2l7RuZn1EEZu4iMhVSJ5U8MaNGxg6dKgjYiHySNbmXLF0vK5OyM4QqW5kVMNkOKKIk+YRkSuRnOwMHToU3333nSNiIfJI+k7FhgxrSMwdN92WS2pCC/F+TmZfseamrgSOiMiZJDdjtWvXDjNmzMD+/fsRHx8PX19fo+MTJkywW3BEnqCuOVfMHTfclqs/jGlHacP7nDSvboazXhORY0lOdt5//30EBwdj9+7d2L17t9ExlUrFZIeoHuqac8X0+N68q+IxZ/aHsbWjNCfNIyJXIjnZyc/Pd0QcRPQ/tnQitteQb2vD2AHjkVo7pvSV1FGak+YRkauQ3GeHiBzPdMVwQ9aGfNvCtHbGcFurK7f4OHPXtbWjNCfNIyI5Sa7Zee6556weX7lyZb2DIaK61TXk21xfEP22uVFSMw3m3LHWJGbuunXN1kxE5ArqNfTc8HblyhXs2LEDGzZsQHFxsQNCJCJD1oZ818XcKCnDTWtDxM1d19rkhkRErkJyzc6XX35Za19NTQ3GjRuHtm3b2iUoIk9g2B/m8KuJkh5b3/4wtqydZW2hUHPXHamJkRQ7EZGz2aXPjpeXFzIzM/HWW2/Z4+mISAIp/WH0o6T0VP+7GbJ1iDj74RCRu6jfCoBmnD9/HlVVVXWfSES1mPazMe2UXNdxKQxrZ7ZPuTuMnUPEiUjJJCc7mZmZRtuCIKCwsBCbN2/GqFGj7BYYEd3lyEkDI9WNbG4Sq2uYuilOmkdErkJysvPDDz8YbXt5eSEsLAxvvvlmnSO1iMg2ci2iGRLgg5iszQDuroAuZbV1IiJXJTnZ2blzpyPiIKL/qWsVdGfR6srrvdo6EZErqXefnV9//RVnzpwBAHTo0AFhYWF2C4rIk1lbRNOZyU5DJhEkInIlkpOd0tJSvPDCC/jggw9QU1MDAPD29sYzzzyDd955B4GBXOiPSCrDfjm2LKLpjP4wliYv/D7rYXZgJiK3InnoeWZmJnbv3o1vvvkGxcXFKC4uxtdff43du3djypQpjoiRSJFM+8N8eqgAQO3h4XKNkGrI5IVERK5EcrLzxRdfYMWKFRg8eDBCQkIQEhKCRx99FMuXL8fnn3/uiBiJFMdSvxz9zMWpCS3EYzmZfe3aOVlfK3RxQTIC/axX7joyDiIiZ5HcjFVWVoaIiIha+8PDw1FWZttChESeTkq/HEdP3mfYJGZt/h5OIkhE7kpyzY5Go8Frr72G8vLfVke+ffs2Zs+eDY1GY9fgiJRK3y/HkK0zFzuLtRXQiYjcieSanb///e8YOHAgWrRoga5duwIAfvzxRzRq1Ahbt261e4BESqTvl+NqMxdzXh0iUiLJyU7nzp1x7tw5rF27Fv/9738BACNGjEBaWhoCAthxkchW9V3M01HM9SPivDpEpAT1mmcnMDAQY8aMsXcsRB7LFfrDmOtHJHVeHcOV3E/NGVhnB2giImeQ/EmUnZ2NiIiIWktDrFy5Er/++iumTZtmt+CIyHksze/DeXWIyN1J7qD83nvvoWPHjrX2d+rUCcuWLZP0XEuXLkWXLl3EIewajQbffvuteLy8vBwZGRlo1qwZgoODkZqaiqKiIqPnKCgoQHJyMgIDAxEeHo6pU6dy9XVye1KGh9uLq8zvQ0Rkb5KTHa1Wi6ioqFr7w8LCUFhYKOm5WrRogQULFuDIkSM4fPgw+vfvjyeeeAInT97tJzB58mR88803WL9+PXbv3o3Lly8jJSVFfHx1dTWSk5NRWVmJffv2Yc2aNVi9ejVmzpwptVhEBM6rQ0TKJDnZadmyJfbu3Vtr/969exEdHS3puR5//HE8+uijaN++Pe655x7MmzcPwcHB2L9/P3Q6HVasWIFFixahf//+SEhIwKpVq7Bv3z7s378fAPDdd9/h1KlT+Oijj9CtWzcMHjwYc+fOxZIlS1BZWSm1aEQOVVZZhZiszYjJ2mx1PhtX4Qr9iDyJu/1/ELkTycnOmDFjMGnSJKxatQo//fQTfvrpJ6xcuRKTJ09uUKfl6upqfPLJJygtLYVGo8GRI0dw584dJCUlied07NgRrVq1Qm5uLgAgNzcX8fHxRpMcDhw4ECUlJWLtkDkVFRUoKSkxuhEREZEySe4MMHXqVFy7dg1/+ctfxNqTRo0aYdq0aZg+fbrkAI4fPw6NRoPy8nIEBwfjyy+/RFxcHI4ePQo/Pz+EhoYanR8REQGtVgvgbpOa6WzO+m39OeZkZ2dj9uzZkmMlsidnLOZJRET1qNlRqVR444038Ouvv2L//v348ccfcf369Xr3k+nQoQOOHj2KAwcOYNy4cRg1ahROnTpVr+ey1fTp06HT6cTbpUuXHHo9Ik/EGZiJyFXUe5hHcHAw7r///gYH4Ofnh3bt2gEAEhIScOjQIfz973/HsGHDUFlZieLiYqPanaKiIkRGRgIAIiMjcfDgQaPn04/W0p9jjr+/P/z9/RscO5E1pnPOeALTGZizU+LZyZmIZCe5ZsfRampqUFFRgYSEBPj6+mL79u3isTNnzqCgoEBcg0uj0eD48eO4cuWKeM62bdsQEhKCuLg4p8dO5O4aMuS9rpXciYjkIuv0ptOnT8fgwYPRqlUr3Lx5E+vWrcOuXbuwdetWqNVqpKenIzMzE02bNkVISAheeOEFaDQa9OrVCwAwYMAAxMXFYeTIkVi4cCG0Wi1effVVZGRksOaGXJpWVy778hD2JmUld7JOif8fRHKStWbnypUreOaZZ9ChQwckJibi0KFD2Lp1Kx555BEAwFtvvYXHHnsMqampeOihhxAZGYkNGzaIj/f29samTZvg7e0NjUaDp59+Gs888wzmzJkjV5GILDJt4vn0UIGM0difO6zk7sqU/v9BJCeVIAh1rn7To0cPbN++HU2aNMGcOXPw4osvIjBQOR9gJSUlUKvV0Ol0CAkJkTscUgjDPjs7pvRF0qLdil+K4cPci0YrubPPjm0KdbfRe8EOxf9/ENmbrd/fNtXsnD59GqWlpQCA2bNn49atW/aJkshD/HTNchOPknAG5vqx1gRIRA1nU5+dbt26YfTo0ejTpw8EQcDf/vY3BAebb0/mUg1EtQX6+ZhdZFPJTTycgdl2lhZhVfL/B5Ez2ZTsrF69Gq+99ho2bdoElUqFb7/9Fj4+tR+qUqmY7BD9j2EfjBHL92NI12h8dfQyAC6yScb0i7AaNgHy/4PIfmxKdjp06IBPPvkEAODl5YXt27cjPDzcoYERuTNzw7A3/nhZ3M7J7MvRNmQkNaGFmOzw/4PIviQPPa+pqXFEHESKYq4PhuE2m3jIGv5/ENlXvebZOX/+PN5++22cPn0aABAXF4eJEyeibdu2dg2OyF2Z64Nhuk1ERM4heZ6drVu3Ii4uDgcPHkSXLl3QpUsXHDhwAJ06dcK2bdscESOR29H3wdDzUsFoW6kaMgMzEZGjSP40ysrKwuTJk7FgwYJa+6dNmyZOCEjk6Uz7YESqG4nbRHUxXVuNySNR/Umu2Tl9+jTS09Nr7X/uueccvlo5kbtiHwwiIvlI/qkQFhaGo0ePon379kb7jx49yhFaRFbom3iIzDH9/yirrJIxGiJlkZzsjBkzBmPHjsWFCxfwf//3fwCAvXv34o033kBmZqbdAyQiIiJqCMnJzowZM9C4cWO8+eabmD59OgAgOjoas2bNwoQJE+weIBEREVFDSE52VCoVJk+ejMmTJ+PmzZsAgMaNG9s9MCIiukurK+ckg0QN0KDu/UxyiCxjHx1qCMPlRpIW7eYK8kQNIHk0FhEROZa55UZe3nAChbrbMkZF5L6Y7BARuRhzy41UCwIuXi2TJyAiN8dkh4jIxeiXGzHkrVIhpnmgPAERuTlJyc6dO3eQmJiIc+fOOSoeIiKPZ265kfkpnRGlDpAxKiL3JSnZ8fX1xbFjxxwVCxER/U9qQgvxfk5mX3ZOJmoAyc1YTz/9NFasWOGIWIiIyAwuN0LUMJKHnldVVWHlypXIyclBQkICgoKCjI4vWrTIbsERERERNZTkZOfEiRPo0aMHAODs2bNGx1QqlbmHEBFRA3EVdKL6k/xu2blzpyPiICIiInKIeg89z8vLw9atW3H79t1JrgRBqOMRRERERM4nuWbn2rVreOqpp7Bz506oVCqcO3cObdq0QXp6Opo0aYI333zTEXESEXkU0+VGyiqrZIyGyL1JrtmZPHkyfH19UVBQgMDA3ya4GjZsGLZs2WLX4IiIiIgaSnLNznfffYetW7eiRYsWRvvbt2+Pn376yW6BERGReVwFnUgayTU7paWlRjU6etevX4e/v79dgiIiImOmq6B/eqhAxmiI3IvkZOfBBx/EBx98IG6rVCrU1NRg4cKFePjhh+0aHBERcRV0ooaS3Iy1cOFCJCYm4vDhw6isrMRLL72EkydP4vr169i7d68jYiQi8mjWVkHnellEdZNcs9O5c2ecPXsWffr0wRNPPIHS0lKkpKTghx9+QNu2bR0RIxGRR+Mq6EQNoxI4QQ5KSkqgVquh0+kQEhIidzhERLV8mHsRM76+25TlpQKyU+K5OCh5PFu/v+s13/iNGzewYsUKnD59GgAQFxeH0aNHo2nTpvWLlkgBOJ0/OVJqQgsx2cnJ7MvRWEQSSG7G2rNnD2JiYrB48WLcuHEDN27cwOLFixEbG4s9e/Y4IkYiIjLAVdCJpJH80zMjIwPDhg3D0qVL4e3tDQCorq7GX/7yF2RkZOD48eN2D5KIiIioviTX7OTl5WHKlCliogMA3t7eyMzMRF5enl2DIyIiImooyclOjx49xL46hk6fPo2uXbvaJSgiIiIie7GpGevYsWPi/QkTJmDixInIy8tDr169AAD79+/HkiVLsGDBAsdESeRmOJ0/2ZvpwqBEZDubhp57eXlBpVKhrlNVKhWqq6vtFpyzcOg52QOHBhMROZddh57n5+fbLTAiJbI0nf9D94RxhlsiIpnZlOy0bt3a0XEQuTVO509E5LrqNevZ5cuX8f333+PKlSuoqakxOjZhwgS7BEbkTvTT+RsmPJzOnxyJk1gS2U7yu2P16tV4/vnn4efnh2bNmkGl+m3BFpVKxWSHPFKUOgCzh3Qy6rMzP6Uza3WIiFyA5KHnM2bMwMyZM6HT6XDx4kXk5+eLtwsXLkh6ruzsbNx///1o3LgxwsPD8eSTT+LMmTNG55SXlyMjIwPNmjVDcHAwUlNTUVRUZHROQUEBkpOTERgYiPDwcEydOhVVVVVSi0bUIKkJLcT7OZl92TmZiMhFSE52ysrKMHz4cHh5SX5oLbt370ZGRgb279+Pbdu24c6dOxgwYABKS0vFcyZPnoxvvvkG69evx+7du3H58mWkpKSIx6urq5GcnIzKykrs27cPa9aswerVqzFz5swGx0dkTVllFWKyNiMmazPKKo2Ta07nT0TkOiRnLOnp6Vi/fr1dLr5lyxY8++yz6NSpE7p27YrVq1ejoKAAR44cAQDodDqsWLECixYtQv/+/ZGQkIBVq1Zh37592L9/PwDgu+++w6lTp/DRRx+hW7duGDx4MObOnYslS5agsrLSLnESEbkyra5c7hCIXJrkPjvZ2dl47LHHsGXLFsTHx8PX19fo+KJFi+odjE6nAwBx9fQjR47gzp07SEpKEs/p2LEjWrVqhdzcXPTq1Qu5ubmIj49HRESEeM7AgQMxbtw4nDx5Et27d691nYqKClRUVIjbJSUl9Y6ZiEgOXxz5WbyftGg353UisqJeyc7WrVvRoUMHAKjVQbm+ampqMGnSJPTu3RudO3cGAGi1Wvj5+SE0NNTo3IiICGi1WvEcw0RHf1x/zFIZZs+eXe9YiYjkxHmdiKSRnOy8+eabWLlyJZ599lm7BpKRkYETJ07g+++/t+vzmjN9+nRkZmaK2yUlJWjZsqXDr0vKpV8egtP5kzNwXiciaST32fH390fv3r3tGsT48eOxadMm7Ny5Ey1a/DaiJTIyEpWVlSguLjY6v6ioCJGRkeI5pqOz9Nv6c0z5+/sjJCTE6EYklWkzwqeHCmSMhjyJfl4nQ5zXicgyycnOxIkT8c4779jl4oIgYPz48fjyyy+xY8cOxMbGGh1PSEiAr68vtm/fLu47c+YMCgoKoNFoAAAajQbHjx/HlStXxHO2bduGkJAQxMXF2SVOIlOWmhEKdbdljIo8hX5eJz3O60RkneRmrIMHD2LHjh3YtGkTOnXqVKuD8oYNG2x+royMDKxbtw5ff/01GjduLPaxUavVCAgIgFqtRnp6OjIzM9G0aVOEhITghRdegEajEVdcHzBgAOLi4jBy5EgsXLgQWq0Wr776KjIyMuDv7y+1eEQ2YTMCyS01oYU4iWVOZl+0CQuWOSIi1yU52QkNDTWa56Yhli5dCgDo16+f0f5Vq1aJfYLeeusteHl5ITU1FRUVFRg4cCDeffdd8Vxvb29s2rQJ48aNg0ajQVBQEEaNGoU5c+bYJUYic7g8BLkSzutEZJ1KEASh7tOUzdYl4okMfZh70Wh5CA79JWfi2lhEtn9/N3waZCIPxeUhiIjcg+SfArGxsVbn05G6PhaRErAZgYjIdUlOdiZNmmS0fefOHfzwww/YsmULpk6daq+4iIjIikA/H87rRGQjycnOxIkTze5fsmQJDh8+3OCAiIiIiOzJbh2UL1y4gG7durnlOlPsoExEROR+nN5B+fPPPxcX8CQiIiJyFZKbsbp3727UQVkQBGi1Wvz6669G898QKRGH+xIRuR/Jn9RPPvmk0baXlxfCwsLQr18/dOzY0V5xEREREdmF5GTntddec0QcRERERA7BSQWJiIhI0WxOdry8vODt7W315uPD/gvkObS6crlDICIiG9icnXz55ZcWj+Xm5mLx4sWoqamxS1BEruqLIz+L95MW7eZ6WOQS2HGeyDqb3xFPPPFErX1nzpxBVlYWvvnmG6SlpXGlcVK0Qt1tvLbxpLhdIwAvbziBh+4JQ5Q6QMbIiIjImnr12bl8+TLGjBmD+Ph4VFVV4ejRo1izZg1at25t7/iIXEb+1VLUmEzBWS0IuHi1TJ6AiIjIJpKSHZ1Oh2nTpqFdu3Y4efIktm/fjm+++QadO3d2VHxELiO2eRC8TNbA9VapENM8UJ6AiMxgXzKi2mxOdhYuXIg2bdpg06ZN+Pjjj7Fv3z48+OCDjoyNyKVEqQMwe0gncdtLBcxP6cwmLJKdaV+yTw8VyBgNkeuxeW0sLy8vBAQEICkpCd7e3hbP27Bhg92CcxaujUW2MuwIumNKX7QJC5Y5IvJ0hbrb6L1gh1ETq7dKhe+zHmYiTopn6/e3zR2Un3nmGaNlIog8XaS6kdwhEFntS8Zkh+gum5Od1atXOzAMIiKqD31fMtOaHfYlI/oNZ1AmInJj5vqSzRoSB032DsRkbUZZZZWM0RG5BiY7RBIE+vng4oJkXFyQzInbyGWkJrQQ7+dk9jXaJiImO0REisK+ZES1MdkhIlIwzrtDxGSHyKqyyirEZG1m3wdyK5x3h8gYOx0QEbk5fV8ywPwabtM3HMe0L44D4EKh5JlYs0NEpCDm5t0x3SbyNEx2iGzEvg/kDsyt4Wa6TeRpmOwQWcG+D+RuzM27Y7jNpJ08EZMdIgvM9X14ecMJFOpuyxgVUd1M590xxKSdPBGTHSILrK05ROROmLSTp2OyQ2SBub4PXHOI3M1P15i0E3H8IZEF+r4PM76++6vYSwXMT+nMlaTJ5ZkORedCoeTpWLNDZIVp34dh97eSMRoi6cx1WGbSTp6GyQ6RjbjmELkrJu3k6ZjsEBF5ECbt5ImY7BAREZGiqQRB8PiJxEtKSqBWq6HT6RASEiJ3OERERGQDW7+/WbNDREREisZkh8hAWWUVYrI2IyZrM8oqq+QOh8gh+H9OnobJDhERESkakx0iIiJSNCY7RBZwdWjyBPw/J0/AZIc8jrX+Cl8c+Vm8z9WhSan4f06eRtZkZ8+ePXj88ccRHR0NlUqFr776yui4IAiYOXMmoqKiEBAQgKSkJJw7d87onOvXryMtLQ0hISEIDQ1Feno6bt265cRSkDszTHwu/HqLq0OT4hXqbvP/nDyOrMlOaWkpunbtiiVLlpg9vnDhQixevBjLli3DgQMHEBQUhIEDB6K8/Ldq17S0NJw8eRLbtm3Dpk2bsGfPHowdO9ZZRSA3V1Ty2/8SV4cmT5B/lf/n5HlkXfV88ODBGDx4sNljgiDg7bffxquvvoonnngCAPDBBx8gIiICX331FYYPH47Tp09jy5YtOHToEO677z4AwDvvvINHH30Uf/vb3xAdHe20spD7MKzCf/ydveL9QD8frg5NihfbPIj/5+RxXLbPTn5+PrRaLZKSksR9arUaPXv2RG5uLgAgNzcXoaGhYqIDAElJSfDy8sKBAwcsPndFRQVKSkqMbuQZzFXh641Yvh9Duv6WIHN1aFIiroJOnshlkx2tVgsAiIiIMNofEREhHtNqtQgPDzc67uPjg6ZNm4rnmJOdnQ21Wi3eWrZsaefoyVWZq8LXqxGAjT9eFre5OjQpFVdBJ0/jssmOI02fPh06nU68Xbp0Se6QyEn0VfiWGCZCXB2aPAH/z8kTyNpnx5rIyEgAQFFREaKiosT9RUVF6Natm3jOlStXjB5XVVWF69evi483x9/fH/7+/vYPmlyevgp/xtcnzR73VqnwfdbDrNInRQv088HFBclyh0HkNC5bsxMbG4vIyEhs375d3FdSUoIDBw5Ao9EAADQaDYqLi3HkyBHxnB07dqCmpgY9e/Z0eszkHgyr8CckthPvs+8CeSqulUVKJ2vNzq1bt5CXlydu5+fn4+jRo2jatClatWqFSZMm4fXXX0f79u0RGxuLGTNmIDo6Gk8++SQA4N5778WgQYMwZswYLFu2DHfu3MH48eMxfPhwjsQimzyjaY3F2+/+D+Zk9kWbsGCZIyIiInuTNdk5fPgwHn74YXE7MzMTADBq1CisXr0aL730EkpLSzF27FgUFxejT58+2LJlCxo1+q2Nee3atRg/fjwSExPh5eWF1NRULF682OllIddVVlmFuJlbAQCn5gy0eB77LhDdXT6CST8pjUoQBAtjUzxHSUkJ1Go1dDodQkJC5A6H7Mw02Qn087HpGJGn+DD3otiPzUsFZKfEc4QWuQVbv7/5yU4exfRXKztqkqeztHzEQ/eEsf8aKYbLdlAmshcuekhkGZePIE/AZIcUjYseEllnbu4pLh9BSsNkhxSNv1qJrOPyEeQJmOyQovFXK1HduHwEKR2THVI0/molkoZTMJASceg5OPRc6QyHl++YwokDiYiUwtbvb9bskEfhr1YiIs/DeXZI8TiXDhGRZ2PNDhERESkakx0iIiJSNCY7pDhllVWIydqMmKzNKKuskjscIiKSGZMdUjStrlzuEIjcCn8skBIx2SHF4VpYRPbBHwukFEx2SFG4FhZRw/DHAikRkx2ShWFV+YVfb9ntebkWFlH9mfuxMH3DcYe8V4mcicmOG2hIG7qrtr876tcj18Iiqj9zPxYMt1nTQ+6KyY6baUgbuqu0vzuyqYlrYRHVn7kfC4bYLEzuismOTKTUuDSkFsSR7e/1rTVqaFNTXdflCs5E9WP6Y8Fc3mP6XnXV2mMiQ0x2XIC1Gpe62tCtfbg4s7OulFojezY1aXXltT5s9ctDXFyQzEU/iSQy/LHwydhekt6r+VdvMfEhl8Rkx0Hq+rVjWuPyYe5F8fyrt8rF+/vyrlptQ7eWZDi6s259a40a2tRkel3DbVdpqiNyV4Y/Fnq2aVbne9Xw/ff4O3vF++Z+iBDJhcmOE5h+AZurcTHc/iD3J/H+i+uP1apKNty2lmQ0tAbF2oiphtYa1bepydx1Z3792zY7UBLZl7X3qrn3ox5/iJArYbLjINZqPeoa8bB4e5543+S0WomPtSTD3jUodZVBSq1RfZuazF3XcJMdKInsy/S9avgjyFzNsx5/iJAr8ZE7ACWyVOvx0D1hiFIHiDUulj4kTAkA/jGiO5oF++NaaQXGr/vB6Lg+yTCXxIzUxCApLgIXr5Yhpnkg1AG+iMnaDADYMaWvxUSjPmWwVmtUVlmFuJlb67yuufNPzRkIAOJ2XX87a38PImoYwx9B+ppnS29Hcz9E9J8hRM7Emh0HqKvWw5YRD4a8VSokxDSBpm0zJLRuIrlpKkodAE3bZohSB9jcz0ZqGeqqNWrIqDDT6u/x/duJ91Wo/ffjvDpEjmH6I8jG32siTvBJcmHNjgPYUuthWOMS6OeF37+7z2xthWkSoU8yZvyvethLBcwaEgdN9g4ADautaUgZYpoHWkx0bLmuac3P3ryr4vlJi3ZjSNdocfsfO/IwfXBHdGkRipjmgcg5VWT09+C8OkSOYakZWV/zfOSn6/jbd2cB/PYjxPB0/hAhuTDZcQBzCYm5L+AodYC4z/R8/QdKTmbt5MU0ycg5VSQeS1q0G9kp8WY7/FqrrTEXmy1JlWEZLDVV2XJdw5qfxDd3G51bIwBfHb1stL1wyxl8n/UwotQBNiddRNQwln4EJcQ0EWuQUxNaGH028YcIuQImOw4ita+M1C9sfZJh79oaw4Rl84Te4v6czNq1LaZJlWlTlf54XdetT9W4abJkmHQRkWPY8kPO8L3IHyLkKthnx4Gk9pUxPN9WlmpNNNk7ag0Zt6WfjemcGW+kxuPigmQE+HlbHWpubSh6Xdc1V4a6sDqcSB4jNTHInd4fH4/phb1Z/eucNqI+n2t6hbrb2Hf+KkdXUoOxZscJpNS+SGWu1sRwdIRpDYy1GqdPx/ayGGddTVF1Hbf2C6+uMnipgCFdo8WmLFaHE8nLGTWpH+ZeNKpBstQ8T2QLJjtOIKWvjFSm1cqW5uExTKwMP6g+zL0onjv8/f21mpD0cdbVFGXuuJcKGLF8PwDjPj51lUH/wfbQPWFGydG0wR1ZHU7kASwtkzPti+MAbJu+wp6kTp1BrofNWE5gz7WgzDGsVn7nj90tJiymbOkro4+zrqYoc8cNR1DVNdzcXNW4afV3Q6rDicg12NI0VdfEq86eoNCRCyqTc7BmxwlsHZ3V0GvoOyzbOtlfXX1lTOOsq7OhueH0erY03bGTMZGy2dI0Vai7jWu3KqxOHurMCQod2Q1B//z5V0sR2zyIn38OxGTHSZw1KkFKYmWpaWrDXzQoq6wxG2ddCYn++L7ztaeR58zGRJ7LlqTBMBkyrAw3N0uzfiAGYL5pyVrTk5RmKXt0QzBMaPTPGds8qNbQfEf3S6pvYiW1Gc8VEzgmO07krJoLWxMrS4lR15ZNGhyD1OUkiEjZ6koazDWrewF454/d0aJJQK2JV80NxNAPptAnEjA5rk8kLE2TYUj/hR3k592gzzLTBE7/NLb0rzSnvolEQzp8S/l7/eenG+LEkq7UsZzJjkLZmlg5qsbJGU13ROQ+LP0ACvTzwr7zV3G9tLJ2Px0ATYP80bVlkzoHYmR9cdxqIjH9i+MI8vdByyYBkmqYzI0GfWlQB+RfLQUAs59phomSpX6R5lroqgUBRy7eQNNg88mMaVzTBnVEfAu1eK5pImQpDilNcVJr5Azpz+0Y2RilldWy1vSoBEGQuryJ4pSUlECtVkOn0yEkJETucBSlUHebI6iICID1JMLS8hL6mdKB3z5PzC2IbCtLC5d+PKYXNG2boVB3G70X7LDYvG+4JIa5mgtLNTlSYzMclapPWKwtK2SakJn+ba2VGbBcY7Tv/FX8cfmBWo/9x4juaBrsZzUuc3Hau6bH1u9v1uyQQ7HTMRHpWRvEIMC4Rsba7MzmBmLYytKoU2s1TNWCIPZjTPvnfnG/ac2FtZocc+pq1jKtrbL0fOaW1DHcrqvM5pqeDJMsc/Ogjf/4hzrjMhenszqWm2KyQ0RETmNtEIPhoqJ19TfMTonHyxtOoFoQ4PW/xxo+nQqAykpCpP8C91ap8HjXKDyxZN9vj4P5BUwt9TsyfKy1L35LNTeWaqvqavaqLy8VjMpsyDTJ8lIBv+/+O3z1w2Wjv7UtcVnqWC7HQBUmO0RE5HR1LSpal2H3tzKaeNTcyKaH7gnDkYs3MOGTHyw2S1mqYTJMhgxrmKzVKFmqQTEc4QqgVtN+Q2urbGGtzKYMQ6gRgK9+uCw+1lITouHf66VBHdClRah4HVcYqMJkh4iInM60dsY0qbD1OeqaB+yxrgEorayqdR39qFNLNUzvDK9dw2SuRqnGTFymiZLpCFdbZpK31IdJn3Qc+6UYC789I5bpye7RYu2Lue26ymyNvhlP36dJypQlrjJQhR2UwQ7KRERycdYgBkvXsdQh2bBjtKXnslRzYW2uMilx7jn7a60kzbBzr2mZ6tq2VmY9c02Cpn+PTw8VWI3LWpns/Rrb+v3NZAdMdoiIPJnUL297PdYWjkoUTOPWNz3ZkmQ5Mi6pPC7ZWbJkCf76179Cq9Wia9eueOedd/DAAw/Y9FgmO0REnq0hX96u8sUvlbW43aVMHpXsfPrpp3jmmWewbNky9OzZE2+//TbWr1+PM2fOIDw8vM7HM9khIiJyP7Z+fyti1fNFixZhzJgxGD16NOLi4rBs2TIEBgZi5cqVcodGREREMnP7ZKeyshJHjhxBUlKSuM/LywtJSUnIzc01+5iKigqUlJQY3YiIiEiZ3D7ZuXr1KqqrqxEREWG0PyIiAlqt1uxjsrOzoVarxVvLli2dESoRERHJwO2TnfqYPn06dDqdeLt06ZLcIREREZGDuP2kgs2bN4e3tzeKioqM9hcVFSEyMtLsY/z9/eHv7++M8IiIiEhmbl+z4+fnh4SEBGzfvl3cV1NTg+3bt0Oj0cgYGREREbkCt6/ZAYDMzEyMGjUK9913Hx544AG8/fbbKC0txejRo+UOjYiIiGSmiGRn2LBh+PXXXzFz5kxotVp069YNW7ZsqdVpmYiIiDyPIiYVbChOKkhEROR+PGpSQSIiIiJLmOwQERGRojHZISIiIkVjskNERESKpojRWA2l76PNNbKIiIjch/57u66xVkx2ANy8eRMAuEYWERGRG7p58ybUarXF4xx6jrszLl++fBmNGzeGSqVq8POVlJSgZcuWuHTpkmKHsrOMysAyuj+llw9gGZXCEWUUBAE3b95EdHQ0vLws98xhzQ4ALy8vtGjRwu7PGxISoth/Wj2WURlYRven9PIBLKNS2LuM1mp09NhBmYiIiBSNyQ4REREpGpMdB/D398drr70Gf39/uUNxGJZRGVhG96f08gEso1LIWUZ2UCYiIiJFY80OERERKRqTHSIiIlI0JjtERESkaEx2iIiISNGY7NjJggULoFKpMGnSJHFfeXk5MjIy0KxZMwQHByM1NRVFRUXyBdlA5srYr18/qFQqo9uf//xn+YKUaNasWbXi79ixo3hcCa9hXWV099dQ75dffsHTTz+NZs2aISAgAPHx8Th8+LB4XBAEzJw5E1FRUQgICEBSUhLOnTsnY8TS1VXGZ599ttZrOWjQIBkjliYmJqZW/CqVChkZGQCU8X6sq4zu/n6srq7GjBkzEBsbi4CAALRt2xZz5841WrtKjvciZ1C2g0OHDuG9995Dly5djPZPnjwZmzdvxvr166FWqzF+/HikpKRg7969MkVaf5bKCABjxozBnDlzxO3AwEBnhtZgnTp1Qk5Ojrjt4/Pb20Ipr6G1MgLu/xreuHEDvXv3xsMPP4xvv/0WYWFhOHfuHJo0aSKes3DhQixevBhr1qxBbGwsZsyYgYEDB+LUqVNo1KiRjNHbxpYyAsCgQYOwatUqcdudhjIfOnQI1dXV4vaJEyfwyCOPYOjQoQCU8X6sq4yAe78f33jjDSxduhRr1qxBp06dcPjwYYwePRpqtRoTJkwAINN7UaAGuXnzptC+fXth27ZtQt++fYWJEycKgiAIxcXFgq+vr7B+/Xrx3NOnTwsAhNzcXJmirR9LZRQEoda2u3nttdeErl27mj2mlNfQWhkFwf1fQ0EQhGnTpgl9+vSxeLympkaIjIwU/vrXv4r7iouLBX9/f+Hjjz92RogNVlcZBUEQRo0aJTzxxBPOCcgJJk6cKLRt21aoqalRzPvRlGEZBcH934/JycnCc889Z7QvJSVFSEtLEwRBvvcim7EaKCMjA8nJyUhKSjLaf+TIEdy5c8dof8eOHdGqVSvk5uY6O8wGsVRGvbVr16J58+bo3Lkzpk+fjrKyMidH2DDnzp1DdHQ02rRpg7S0NBQUFABQ1mtoqYx67v4abty4Effddx+GDh2K8PBwdO/eHcuXLxeP5+fnQ6vVGr2WarUaPXv2dJvXsq4y6u3atQvh4eHo0KEDxo0bh2vXrskQbcNVVlbio48+wnPPPQeVSqWo96OeaRn13Pn9+H//93/Yvn07zp49CwD48ccf8f3332Pw4MEA5HsvshmrAT755BP85z//waFDh2od02q18PPzQ2hoqNH+iIgIaLVaJ0XYcNbKCAB//OMf0bp1a0RHR+PYsWOYNm0azpw5gw0bNjg50vrp2bMnVq9ejQ4dOqCwsBCzZ8/Ggw8+iBMnTijmNbRWxsaNG7v9awgAFy5cwNKlS5GZmYmXX34Zhw4dwoQJE+Dn54dRo0aJr1dERITR49zptayrjMDdJqyUlBTExsbi/PnzePnllzF48GDk5ubC29tb5hJI89VXX6G4uBjPPvssAOV8phoyLSPg/p+pWVlZKCkpQceOHeHt7Y3q6mrMmzcPaWlpACDbe5HJTj1dunQJEydOxLZt29yivb8+bCnj2LFjxfvx8fGIiopCYmIizp8/j7Zt2zor1HrT/9oAgC5duqBnz55o3bo1PvvsMwQEBMgYmf1YK2N6errbv4YAUFNTg/vuuw/z588HAHTv3h0nTpzAsmXLxETA3dlSxuHDh4vnx8fHo0uXLmjbti127dqFxMREWeKurxUrVmDw4MGIjo6WOxSHMVdGd38/fvbZZ1i7di3WrVuHTp064ejRo5g0aRKio6NlfS+yGauejhw5gitXrqBHjx7w8fGBj48Pdu/ejcWLF8PHxwcRERGorKxEcXGx0eOKiooQGRkpT9AS1VVGw052ej179gQA5OXlOTtcuwgNDcU999yDvLw8REZGuv1raI5hGc1xx9cwKioKcXFxRvvuvfdesblO/3qZjtxxp9eyrjKa06ZNGzRv3tytXksA+Omnn5CTk4M//elP4j6lvR/NldEcd3s/Tp06FVlZWRg+fDji4+MxcuRITJ48GdnZ2QDkey8y2amnxMREHD9+HEePHhVv9913H9LS0sT7vr6+2L59u/iYM2fOoKCgABqNRsbIbVdXGc1Vix89ehTA3Q9md3Tr1i2cP38eUVFRSEhIcPvX0BzDMprjjq9h7969cebMGaN9Z8+eRevWrQEAsbGxiIyMNHotS0pKcODAAbd5Lesqozk///wzrl275lavJQCsWrUK4eHhSE5OFvcp7f1orozmuNv7saysDF5exqmFt7c3ampqAMj4XnRY12cPZNqL/s9//rPQqlUrYceOHcLhw4cFjUYjaDQa+QK0A8My5uXlCXPmzBEOHz4s5OfnC19//bXQpk0b4aGHHpI3SAmmTJki7Nq1S8jPzxf27t0rJCUlCc2bNxeuXLkiCIIyXkNrZVTCaygIgnDw4EHBx8dHmDdvnnDu3Dlh7dq1QmBgoPDRRx+J5yxYsEAIDQ0Vvv76a+HYsWPCE088IcTGxgq3b9+WMXLb1VXGmzdvCi+++KKQm5sr5OfnCzk5OUKPHj2E9u3bC+Xl5TJHb7vq6mqhVatWwrRp02odU8L7URAsl1EJ78dRo0YJv/vd74RNmzYJ+fn5woYNG4TmzZsLL730kniOHO9FJjt2ZJrs3L59W/jLX/4iNGnSRAgMDBR+//vfC4WFhfIFaAeGZSwoKBAeeughoWnTpoK/v7/Qrl07YerUqYJOp5M3SAmGDRsmREVFCX5+fsLvfvc7YdiwYUJeXp54XAmvobUyKuE11Pvmm2+Ezp07C/7+/kLHjh2F999/3+h4TU2NMGPGDCEiIkLw9/cXEhMThTNnzsgUbf1YK2NZWZkwYMAAISwsTPD19RVat24tjBkzRtBqtTJGLN3WrVsFAGZfGyW8HwXBchmV8H4sKSkRJk6cKLRq1Upo1KiR0KZNG+GVV14RKioqxHPkeC+qBMFgWkMiIiIihWGfHSIiIlI0JjtERESkaEx2iIiISNGY7BAREZGiMdkhIiIiRWOyQ0RERIrGZIeIiIgUjckOERERKRqTHSIiAP369YNKpYJKpRLXI9q1axdUKlWtxSftbdasWeK13377bYdei8gTMdkhIsmeffZZ8cvZ8DZo0CC5Q2uQMWPGoLCwEJ07d27wcxUVFcHX1xeffPKJ2ePp6eno0aMHAODFF19EYWEhWrRo0eDrElFtTHaIqF4GDRqEwsJCo9vHH3/s0GtWVlY69PkDAwMRGRkJHx+fBj9XREQEkpOTsXLlylrHSktL8dlnnyE9PR0AEBwcjMjISHh7ezf4ukRUG5MdIqoXf39/REZGGt2aNGkiHlepVPjnP/+J3//+9wgMDET79u2xceNGo+c4ceIEBg8ejODgYERERGDkyJG4evWqeLxfv34YP348Jk2ahObNm2PgwIEAgI0bN6J9+/Zo1KgRHn74YaxZs0ZsbiotLUVISAg+//xzo2t99dVXCAoKws2bN+td5rKyMgwePBi9e/cWm7b++c9/4t5770WjRo3QsWNHvPvuu+L56enp2L59OwoKCoyeZ/369aiqqkJaWlq9YyEi2zHZISKHmT17Np566ikcO3YMjz76KNLS0nD9+nUAQHFxMfr374/u3bvj8OHD2LJlC4qKivDUU08ZPceaNWvg5+eHvXv3YtmyZcjPz8cf/vAHPPnkk/jxxx/x/PPP45VXXhHPDwoKwvDhw7Fq1Sqj51m1ahX+8Ic/oHHjxvUqS3FxMR555BHU1NRg27ZtCA0Nxdq1azFz5kzMmzcPp0+fxvz58zFjxgysWbMGAPDoo48iIiICq1evrhVLSkoKQkND6xULEUnk0DXViUiRRo0aJXh7ewtBQUFGt3nz5onnABBeffVVcfvWrVsCAOHbb78VBEEQ5s6dKwwYMMDoeS9duiQAEM6cOSMIgiD07dtX6N69u9E506ZNEzp37my075VXXhEACDdu3BAEQRAOHDggeHt7C5cvXxYEQRCKiooEHx8fYdeuXRbL1LdvX2HixIlG+3bu3CkAEE6fPi106dJFSE1NFSoqKsTjbdu2FdatW2f0mLlz5woajUbczsrKEmJjY4WamhpBEAQhLy9PUKlUQk5OTq0YWrduLbz11lsWYySi+mHNDhHVy8MPP4yjR48a3f785z8bndOlSxfxflBQEEJCQnDlyhUAwI8//oidO3ciODhYvHXs2BEAcP78efFxCQkJRs955swZ3H///Ub7HnjggVrbnTp1EmtYPvroI7Ru3RoPPfRQvcr6yCOPoF27dvj000/h5+cH4G6/m/PnzyM9Pd2oDK+//rpR/M899xzy8/Oxc+dOAHdrdWJiYtC/f/96xUJE0jW8Fx4ReaSgoCC0a9fO6jm+vr5G2yqVCjU1NQCAW7du4fHHH8cbb7xR63FRUVFG16mPP/3pT1iyZAmysrKwatUqjB49GiqVql7PlZycjC+++AKnTp1CfHy8GD8ALF++HD179jQ637Cjcfv27fHggw9i1apV6NevHz744AOMGTOm3rEQkXRMdohIFj169MAXX3yBmJgYSaOfOnTogH/9619G+w4dOlTrvKeffhovvfQSFi9ejFOnTmHUqFH1jnXBggUIDg5GYmIidu3ahbi4OERERCA6OhoXLlyos6Nxeno6xo0bhyFDhuCXX37Bs88+W+9YiEg6NmMRUb1UVFRAq9Ua3QxHUtUlIyMD169fx4gRI3Do0CGcP38eW7duxejRo1FdXW3xcc8//zz++9//Ytq0aTh79iw+++wzsQOwYW1JkyZNkJKSgqlTp2LAgAENnsPmb3/7G9LS0tC/f3/897//BXC3A3Z2djYWL16Ms2fP4vjx41i1ahUWLVpk9NihQ4fC19cXzz//PAYMGICWLVs2KBYikobJDhHVy5YtWxAVFWV069Onj82Pj46Oxt69e1FdXY0BAwYgPj4ekyZNQmhoKLy8LH80xcbG4vPPP8eGDRvQpUsXLF26VByN5e/vb3Rueno6Kisr8dxzz9WvkCbeeustPPXUU+jfvz/Onj2LP/3pT/jnP/+JVatWIT4+Hn379sXq1asRGxtr9LjAwEAMHz4cN27csFssRGQ7lSAIgtxBEBE1xLx587Bs2TJcunTJaP+HH36IyZMn4/Lly2LHYkv69euHbt26ybpcQ0xMDCZNmoRJkybJFgORErFmh4jczrvvvotDhw7hwoUL+PDDD/HXv/7VqE9OWVkZzp8/jwULFuD555+vM9ExfN7g4GAcP37cUaGbNX/+fAQHB9eafJCI7IM1O0TkdiZPnoxPP/0U169fR6tWrTBy5EhMnz5d7Og8a9YszJs3Dw899BC+/vprBAcH1/mcv/zyC27fvg0AaNWqlc0Jkj1cv35dnGwxLCwMarXaadcm8gRMdoiIiEjR2IxFREREisZkh4iIiBSNyQ4REREpGpMdIiIiUjQmO0RERKRoTHaIiIhI0ZjsEBERkaIx2SEiIiJF+38FT5u6kO0OUQAAAABJRU5ErkJggg==", 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" ] @@ -1522,7 +1522,7 @@ "peak2 = np.random.normal(60.5, 2.78, 12000)\n", "data = np.concatenate([rnd_bkd, peak1, peak2])\n", "\n", - "entries, edges = np.histogram(data, bins=60, range=(40, 80))\n", + "entries, edges = np.histogram(data, bins=120, range=(40, 80))\n", "center = edges[:-1] + np.diff(edges)/2\n", "\n", "plt.errorbar(center, entries, np.sqrt(entries), ls='', marker='.')\n", @@ -1554,7 +1554,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 106, "id": "f84d7527-c0d2-475d-966d-5363a8e09369", "metadata": {}, "outputs": [], @@ -1579,7 +1579,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 109, "id": "a31901cf-a0ce-4db8-a072-a661fbbb7296", "metadata": {}, "outputs": [], @@ -1587,8 +1587,8 @@ "ls = cost.LeastSquares(center, entries, np.sqrt(entries), fit_model)\n", "\n", "mi = Minuit(ls, \n", - " A_p1 = 800, \n", - " A_p2 = 1400,\n", + " A_p1 = 400, \n", + " A_p2 = 700,\n", " mu_p1 = 54,\n", " mu_p2 = 60,\n", " sigma_p1 = 2,\n", @@ -1601,23 +1601,23 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 110, "id": "1e69a046-770f-4c38-9b91-0176bb0686a1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 72, + "execution_count": 110, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1646,7 +1646,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 111, "id": "d53e8386-ea7f-43fa-b4fe-65229308a2ec", "metadata": {}, "outputs": [], @@ -1664,17 +1664,17 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 112, "id": "d1d06116-d726-4163-b414-6ccde6a19027", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(60, 60)" + "(120, 120)" ] }, - "execution_count": 74, + "execution_count": 112, "metadata": {}, "output_type": "execute_result" } @@ -1693,28 +1693,39 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 113, "id": "f24d19d8-3483-45b5-aee9-1d3f8755da22", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(array([ True, True, True, True, True, True, True, False, False,\n", + "(array([ True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", " False, False, False, False, False, False, False, False, False,\n", " False, False, False, False, False, False, False, False, False,\n", " False, False, False, False, False, False, False, False, False,\n", " False, False, False, False, False, False, False, False, False,\n", " True, True, True, True, True, True, True, True, True,\n", - " True, True, True, True, True, True]),\n", - " array([40.33333333, 41. , 41.66666667, 42.33333333, 43. ,\n", - " 43.66666667, 44.33333333, 70.33333333, 71. , 71.66666667,\n", - " 72.33333333, 73. , 73.66666667, 74.33333333, 75. ,\n", - " 75.66666667, 76.33333333, 77. , 77.66666667, 78.33333333,\n", - " 79. , 79.66666667]))" + " True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True,\n", + " True, True, True]),\n", + " array([40.16666667, 40.5 , 40.83333333, 41.16666667, 41.5 ,\n", + " 41.83333333, 42.16666667, 42.5 , 42.83333333, 43.16666667,\n", + " 43.5 , 43.83333333, 44.16666667, 44.5 , 44.83333333,\n", + " 70.16666667, 70.5 , 70.83333333, 71.16666667, 71.5 ,\n", + " 71.83333333, 72.16666667, 72.5 , 72.83333333, 73.16666667,\n", + " 73.5 , 73.83333333, 74.16666667, 74.5 , 74.83333333,\n", + " 75.16666667, 75.5 , 75.83333333, 76.16666667, 76.5 ,\n", + " 76.83333333, 77.16666667, 77.5 , 77.83333333, 78.16666667,\n", + " 78.5 , 78.83333333, 79.16666667, 79.5 , 79.83333333]))" ] }, - "execution_count": 75, + "execution_count": 113, "metadata": {}, "output_type": "execute_result" } @@ -1738,7 +1749,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 114, "id": "3034bb22-0b96-498d-9736-ed9bb2189460", "metadata": {}, "outputs": [], @@ -1757,23 +1768,23 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 115, "id": "81232354-a7b8-4e2a-9ac0-159ce0a03da4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 77, + "execution_count": 115, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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" ] @@ -1803,145 +1814,9 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 119, "id": "4a93a1c2-17df-46c2-b38e-9a509fe16fc7", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 A_p1 800 8 yes
1 A_p2 1.400e3 0.014e3 yes
2 mu_p1 54.0 0.5 yes
3 mu_p2 60.0 0.6 yes
4 sigma_p1 2.00 0.02 yes
5 sigma_p2 2.00 0.02 yes
6 A_bkg 100 1
7 tau_bkg 10.0 0.1 0
" - ], - "text/plain": [ - "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", - "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", - "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 800 │ 8 │ │ │ │ │ yes │\n", - "│ 1 │ A_p2 │ 1.400e3 │ 0.014e3 │ │ │ │ │ yes │\n", - "│ 2 │ mu_p1 │ 54.0 │ 0.5 │ │ │ │ │ yes │\n", - "│ 3 │ mu_p2 │ 60.0 │ 0.6 │ │ │ │ │ yes │\n", - "│ 4 │ sigma_p1 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", - "│ 5 │ sigma_p2 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", - "│ 6 │ A_bkg │ 100 │ 1 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 10.0 │ 0.1 │ │ │ 0 │ │ │\n", - "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘" - ] - }, - "execution_count": 79, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "mi.fixed[['tau_bkg', 'A_bkg']] = False\n", - "mi" - ] - }, - { - "cell_type": "code", - "execution_count": 80, - "id": "3e90c2ed-c282-47c2-b0fe-3063f9545639", - "metadata": {}, "outputs": [ { "data": { @@ -1951,11 +1826,11 @@ " Migrad \n", " \n", " \n", - " FCN = 12.84 (χ²/ndof = 0.6) \n", - " Nfcn = 136 \n", + " FCN = 35.17 (χ²/ndof = 0.8) \n", + " Nfcn = 77 \n", " \n", " \n", - " EDM = 5.13e-05 (Goal: 0.0002) \n", + " EDM = 4.56e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -1988,8 +1863,8 @@ " \n", " 0 \n", " A_p1 \n", - " 800 \n", - " 8 \n", + " 400 \n", + " 4 \n", " \n", " \n", " \n", @@ -1999,8 +1874,8 @@ " \n", " 1 \n", " A_p2 \n", - " 1.400e3 \n", - " 0.014e3 \n", + " 700 \n", + " 7 \n", " \n", " \n", " \n", @@ -2054,8 +1929,8 @@ " \n", " 6 \n", " A_bkg \n", - " 221 \n", - " 25 \n", + " 108 \n", + " 12 \n", " \n", " \n", " \n", @@ -2065,8 +1940,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 41.0 \n", - " 3.1 \n", + " 39.9 \n", + " 3.0 \n", " \n", " \n", " 0 \n", @@ -2159,8 +2034,8 @@ " 0 \n", " 0 \n", " 0 \n", - " 612 \n", - " -74 (-0.963) \n", + " 152 \n", + " -36 (-0.963) \n", " \n", " \n", " tau_bkg \n", @@ -2170,8 +2045,8 @@ " 0 \n", " 0 \n", " 0 \n", - " -74 (-0.963) \n", - " 9.69 \n", + " -36 (-0.963) \n", + " 9.16 \n", " \n", "" ], @@ -2179,8 +2054,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 12.84 (χ²/ndof = 0.6) │ Nfcn = 136 │\n", - "│ EDM = 5.13e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 35.17 (χ²/ndof = 0.8) │ Nfcn = 77 │\n", + "│ EDM = 4.56e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -2191,14 +2066,14 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 800 │ 8 │ │ │ │ │ yes │\n", - "│ 1 │ A_p2 │ 1.400e3 │ 0.014e3 │ │ │ │ │ yes │\n", + "│ 0 │ A_p1 │ 400 │ 4 │ │ │ │ │ yes │\n", + "│ 1 │ A_p2 │ 700 │ 7 │ │ │ │ │ yes │\n", "│ 2 │ mu_p1 │ 54.0 │ 0.5 │ │ │ │ │ yes │\n", "│ 3 │ mu_p2 │ 60.0 │ 0.6 │ │ │ │ │ yes │\n", "│ 4 │ sigma_p1 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", "│ 5 │ sigma_p2 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", - "│ 6 │ A_bkg │ 221 │ 25 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 41.0 │ 3.1 │ │ │ 0 │ │ │\n", + "│ 6 │ A_bkg │ 108 │ 12 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 39.9 │ 3.0 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", @@ -2209,18 +2084,315 @@ "│ mu_p2 │ 0 0 0 0 0 0 0 0 │\n", "│ sigma_p1 │ 0 0 0 0 0 0 0 0 │\n", "│ sigma_p2 │ 0 0 0 0 0 0 0 0 │\n", - "│ A_bkg │ 0 0 0 0 0 0 612 -74 │\n", - "│ tau_bkg │ 0 0 0 0 0 0 -74 9.69 │\n", + "│ A_bkg │ 0 0 0 0 0 0 152 -36 │\n", + "│ tau_bkg │ 0 0 0 0 0 0 -36 9.16 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 80, + "execution_count": 119, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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laOQtZw8Mkd/rdoCpq6tDYWEhCgsLAQAlJSUoLCxEaWkpLBYLFi5ciEOHDiEnJwc2mw16vR56vR5ms+MCasOHD8fs2bOxdOlSHDhwAPv378eKFSuwaNEiJCYmAgDuu+8+qNVqLFmyBEVFRfj73/+OF198EatWrXLfkROR11XVmlBnskKpEJAaE+r11+cIDFHg6PYppEOHDmH69OnSz85QsXjxYjz55JP49NNPAQDjxo1zedyuXbswbdo0AEBOTg5WrFiBGTNmQKFQYMGCBdi0aZO0r1arxRdffIHly5djwoQJiI2Nxbp16ziFmsjPOftfUqNDoVEpvf76ydHNPTA1DDBE/q7bAWbatGkdLgLVlQWioqOjsXnz5g73GTNmDPbt29fd8ojIh8nZ/wK0jMDUNFhQZ7KinxeuhE1EnsFrIRGR18jZ/wIA4cFB0IY4FrDjTCQi/8YAQ0ReI8dVqG/U0gfDRl4if8YAQ0Rec755BGagTKeQgFZrwbAPhsivMcAQkVc0WWxSaBgo5wgMV+MlCggMMETkFSVXHaMv2pAgRMl4IUVpLRgGGCK/xgBDRF7hDDDpsd69iOON2ANDFBgYYIjIK843N/DK2f8CsAeGKFAwwBCRV5xvHoEZGOsbAeZqnRmNZpustRBRzzHAEJFXtMxAkq+BF3D04DgXsOMoDJH/YoAhIo8TRVE6hZQu8wiMIAjsgyEKAAwwRORx1xssMDZZAQADYuQNMAD7YIgCAQMMEXmcc/QlKTIEIWrvX8TxRlwLhsj/McAQkcedbzWF2hdIIzAMMER+iwGGiDzOFy4h0FpSpGMxO/bAEPkvBhgi8riSq77RwOvEHhgi/8cAQ0Qe5ytTqJ2cPTCVRhNMVq4FQ+SPGGCIyKNsdhEXrzlO1ci9iJ1TTJgawUGOr7/LNU0yV0NEPcEAQ0QeVX69EWabHWqVAonN66/IzXUtGJ5GIvJHDDBE5FHnm/tfBsSEQqmQ7yKON5KuSl3DRl4if8QAQ0QeVeJjU6iduBYMkX9jgCEij/K1Bl4nrgVD5N8YYIjIo3x2BIY9MER+jQGGiDzKeRkBX5mB5NTSA8MAQ+SPGGCIyGMazTZUGBzTlH31FNJlQyMsNrvM1RBRdzHAEJHHOE8faUOCEBUaJHM1rvr300CtVMAuAnoD14Ih8jcMMETkMa37XwTBd6ZQA4BCISAxMhgA+2CI/BEDDBF5zLnm/pdBPnb6yIl9MET+iwGGiDxGCjBxvtXA69QyE4mL2RH5GwYYIvIY3x+B4VowRP6KAYaIPMJuF3GuytED46sBhqvxEvkvBhgi8gi9sQmNFhtUCgFpMaFyl9Mm9sAQ+S8GGCLyCOfpo7SYUAQpffOrxjkCU1HTCJtdlLkaIuoO3/xWISK/d67Kt/tfACA+XAOVQoDVLqKqlmvBEPkTBhgi8ohzzRdxHBTnuwFGpVRAp+VaMET+iAGGiDzC12cgOXEmEpF/YoAhIo9oCTC+uQaMU1Kko5GXa8EQ+ZduB5i9e/fi7rvvRmJiIgRBwNatW122i6KIdevWISEhASEhIcjKysKZM2dc9qmurkZ2djYiIiIQGRmJJUuWoK6uzmWfo0ePYsqUKQgODkZKSgo2bNjQ/aMjIlnUNllQaTQB8L2LON5IGoHhTCQiv9LtAFNfX4+xY8filVdeaXP7hg0bsGnTJrz22mvIz89HWFgYZs2ahaamlga57OxsFBUVITc3F9u2bcPevXuxbNkyabvRaMTMmTORlpaGgoICPPfcc3jyySfx+uuv9+AQicjbzjf3v/QP10Ab4lsXcbwR14Ih8k+q7j5gzpw5mDNnTpvbRFHExo0b8fjjj2PevHkAgHfeeQfx8fHYunUrFi1ahJMnT2L79u04ePAgJk6cCAB46aWXcNddd+H5559HYmIicnJyYDab8cYbb0CtVmPkyJEoLCzECy+84BJ0iMg3+cvpI4A9MET+yq09MCUlJdDr9cjKypLu02q1yMjIQF5eHgAgLy8PkZGRUngBgKysLCgUCuTn50v7TJ06FWq1Wtpn1qxZKC4uxvXr19t8bZPJBKPR6HIjInn4SwMvACQ7e2BqGmHnWjBEfsOtAUav1wMA4uPjXe6Pj4+Xtun1esTFxblsV6lUiI6Odtmnredo/Ro3Wr9+PbRarXRLSUnp/QERUY/4+iUEWtNpg6EQALPVjqv1JrnLIaIuCphZSGvXroXBYJBuZWVlcpdE1Ge1XIXa9wOMWqVAfATXgiHyN24NMDqdDgBQWVnpcn9lZaW0TafToaqqymW71WpFdXW1yz5tPUfr17iRRqNBRESEy42IvM9qs+PCNecIjO/3wADsgyHyR24NMOnp6dDpdNixY4d0n9FoRH5+PjIzMwEAmZmZqKmpQUFBgbTPzp07YbfbkZGRIe2zd+9eWCwWaZ/c3FwMHToUUVFR7iyZiNys7HojLDYRwUEKJGpD5C6nS5IiOROJyN90O8DU1dWhsLAQhYWFAByNu4WFhSgtLYUgCFi5ciX+8Ic/4NNPP8WxY8fwwAMPIDExEffccw8AYPjw4Zg9ezaWLl2KAwcOYP/+/VixYgUWLVqExMREAMB9990HtVqNJUuWoKioCH//+9/x4osvYtWqVW47cCLyDOc1kAbG9oNCIchcTde0XJWai9kR+YtuT6M+dOgQpk+fLv3sDBWLFy/GW2+9hUcffRT19fVYtmwZampqMHnyZGzfvh3BwcHSY3JycrBixQrMmDEDCoUCCxYswKZNm6TtWq0WX3zxBZYvX44JEyYgNjYW69at4xRqIj/gT/0vTlwLhsj/dDvATJs2DaLY/lRDQRDw9NNP4+mnn253n+joaGzevLnD1xkzZgz27dvX3fKISGb+tAaME3tgiPxPwMxCIiLfIF2F2g+mUDu17oHp6B9oROQ7GGCIyG1EUcTpyloAwC1+dAopsTnANFpsuN5g6WRvIvIFDDBE5DaXDU2obbJCpRD8agQmOEiJ2H6Olb8reFFHIr/AAENEblOsd4y+DOwfBrXKv75enKMwDDBE/sG/vmGIyKedag4wQ3X+t5Ckc80aBhgi/8AAQ0RuU6x3XER1mC5c5kq6TxqBMTTJXAkRdQUDDBG5jTQCE++PAcaxVhVHYIj8AwMMEbmFxWaX1oAZ6ocjMEnsgSHyKwwwROQWJVfrYbGJ6KdRSQvD+ZOWJl6eQiLyBwwwROQWztNHQ+L7QRD84xpIrTkDTGVtEyw2u8zVEFFnGGCIyC2cDbz+OAMJAGLC1FArFRBFQM9GXiKfxwBDRG7hXAPGH2cgAYBCISCBjbxEfoMBhojcomUNGP8MMECrtWAMDDBEvo4Bhoh6rbbJgkvNV3L21xEYgI28RP6EAYaIes15Acf4CA0iQ9UyV9NzSTyFROQ3GGCIqNf8+RICrfF6SET+gwGGiHrN3xt4nXgKich/MMAQUa/58yUEWuMIDJH/YIAhol4RRVEagfHnGUhAy/WQak1WGJssMldDRB1hgCGiXqk0mmBotECpEHBLXD+5y+mVULUKkaFBADgKQ+TrGGCI/EC9yYrj5QafXCH2VPMKvANiQhEcpJS5mt6T1oJhgCHyaSq5CyCi9pXXNOI3W45hz+kr0n0T06Lw4IzBmDqkv4yVtThx2RFghif49wwkp8TIEJy4bGQjL5GP4wgMkY/aeaoSs/+8VwovUaFBEATg0MXrWPzmAfzv7rMQRVHmKoFjlwwAgDHJWpkrcQ+uBUPkHzgCQ+SDTlQYsTznP2i02HBraiQ2LByLW+L6QW9owsYvT+P9g2XYsL0YdruIFd8eLGutR5sDzOikSFnrcBfORCLyDxyBIfIx1fVmLH3nEBotNkwZHIsP/jtTao7VaYPxpwVj8MR3RwAA/vzlGRwuvS5brdfqTChv/kU/KilwTiEBXAuGyNcxwBD5mA3bT6G8phEDYkLx8o9uhUp588f0Z5MG4HtjE2Gzi1j5fiFqZZrye6zcMfoysH8YwoODZKnB3ZwBppwjMEQ+jQGGyIcUVRjw90NlAID/+eFYaEPbDgWCIOD394xCUmQISqsb8OSnJ7xZpkTqf0kKjP4XAEhqDjB6YxNsdvl7jIiobQwwRD5CFEU8/dkJiCJw99hETEiL7nB/bUgQNi4aB4UA/OPwJXx2pMJLlbY42jwCMzo50uuv7Sn9wzVQKQTY7CKqankaichXMcAQ+Yi8c9eQX1INjUqBNbOHdukxtw2IxorptwAAfvvxMRgavHsqKdBmIAGAUiEgPsI5E4kBhshXMcAQ+Yg39pcAAO69LQXJUaFdftyDMwZjSHw/GJus+NtX5z1V3k2qjE3QG5ugEIARAbIGjFMSZyIR+TwGGCIfUHK1HjtOVQEAfnLngG49VqVU4OGsIQCAN/ZfwPV6s7vLa1PBRcfspyHx4QjTBNaKDIlcC4bI5zHAEPmAt/aXQBSBbw+Lw8D+3b+e0KyROoxIiECdyYrX93lnFObgBUeAuW1Ax706/ohrwRD5PgYYIpk1mm34qOASAOBnk9J79BwKhYCHv+MYhXlr/wVcrTO5rb72FFysBgBMHBDl8dfytpap1OyBIfJVDDBEMvvihB71ZhtSokMw6ZaYHj9P1vA4jE3WotFiw1/2nHNjhTdrMFtRVOG4BtLEAByBYQ8Mke9jgCGS2db/lAMAvj8uCYIg9Ph5BKFlFOadvIuoMnpu9KCwrAZWu4gEbbD0yz6QSKeQDAwwRL7K7QHGZrPhiSeeQHp6OkJCQjBo0CD8/ve/d7nonCiKWLduHRISEhASEoKsrCycOXPG5Xmqq6uRnZ2NiIgIREZGYsmSJairq3N3uUSyulpnwt4zVwEA88Yn9fr5vjWkP25NjYTJasdf9nquF6aguf8lEEdfACChuYm3psGCBrNV5mqIqC1uDzDPPvssXn31Vbz88ss4efIknn32WWzYsAEvvfSStM+GDRuwadMmvPbaa8jPz0dYWBhmzZqFpqaWfzFmZ2ejqKgIubm52LZtG/bu3Ytly5a5u1wiWX12pAI2u4ixyVoM6kHz7o0EQcCDMxwXd3z/QCkMjZ5ZF+Zg8wykiWmB1/8CABHBQQhvnlnFtWCIfJPbA8zXX3+NefPmYe7cuRgwYAAWLlyImTNn4sCBAwAcoy8bN27E448/jnnz5mHMmDF45513UFFRga1btwIATp48ie3bt+P//u//kJGRgcmTJ+Oll17C+++/j4oK7682SuQp/zp2GQAwb1zvR1+cvjWkP4bpwlFvtiEn/6LbntfJYrPjsDPABGADrxNnIhH5NrcHmDvvvBM7duzA6dOnAQBHjhzBV199hTlz5gAASkpKoNfrkZWVJT1Gq9UiIyMDeXl5AIC8vDxERkZi4sSJ0j5ZWVlQKBTIz893d8lEsjA0WKS1VGaOjHfb8wqCgGVTBwIA3tx/ASarzW3PDQD/Ka1BncmK6DA1husCawG71rgWDJFvc/vqU4899hiMRiOGDRsGpVIJm82GZ555BtnZ2QAAvV4PAIiPd/3Cjo+Pl7bp9XrExcW5FqpSITo6WtrnRiaTCSZTy9RRo9HotmMi8oQ9Z67ALgJD4vt1a+Xdrrh7bCKe+7wYlw1N2Pqfctx7W6rbnnvfmSsAgMm3xEKh6HnTsa/jCAyRb3P7CMwHH3yAnJwcbN68GYcPH8bbb7+N559/Hm+//ba7X8rF+vXrodVqpVtKSopHX4+ot3Y3r7w7fWhcJ3t2X5BSIa0p8/re87C78arKzqbjKYNj3facvohrwRD5NrcHmNWrV+Oxxx7DokWLMHr0aNx///14+OGHsX79egCATqcDAFRWVro8rrKyUtqm0+lQVVXlst1qtaK6ulra50Zr166FwWCQbmVlZe4+NCK3sdlF7D7tGMmY5oEAAwCLbk9BeLAK567UY+epqs4f0AU1DWYcvVQDAJgyuL9bntNXcS0YIt/m9gDT0NAAhcL1aZVKJex2OwAgPT0dOp0OO3bskLYbjUbk5+cjMzMTAJCZmYmamhoUFBRI++zcuRN2ux0ZGRltvq5Go0FERITLjchXHb1Ug+p6M8I1Ko81woYHByE7Iw0A8Je97lnY7quzVyE2n/bSaYPd8py+imvBEPk2tweYu+++G8888wz++c9/4sKFC/j444/xwgsv4Pvf/z4AR4PhypUr8Yc//AGffvopjh07hgceeACJiYm45557AADDhw/H7NmzsXTpUhw4cAD79+/HihUrsGjRIiQmJrq7ZCKv29U8IjJlSCyClJ5bT/KnkwZArVTg4IXryD9/rdfPt6fYMWoU6KMvQEsT72VDk1tPwRGRe7i9ifell17CE088gV/+8peoqqpCYmIi/vu//xvr1q2T9nn00UdRX1+PZcuWoaamBpMnT8b27dsRHNzyL7qcnBysWLECM2bMgEKhwIIFC7Bp0yZ3l0ski13NQcAT/S+txUcE4wcTk5GTX4pNO88gZ2DPL1VgsdmRe9Jx6vfbwzxbty+IjwiGIABmqx3X6s3oH66RuyQiakUQWy+RG0CMRiO0Wi0MBgNPJ5FPqaptwu3POE6hHvjtDMSFe/ZUzKXrDZj+/G5YbCI++nlmj1fP3V1chZ+8eRCx/dT4Zu0MqDw4cuQr7vjjDuiNTfhk+SSMTYmUuxyiPqGrv78D/xuIyMfsbh59GZ2k9Xh4AYDkqFAsnJAMAHhxx5lO9m7fP486Ft2bMyqhT4QXgGvBEPmyvvEtRORDdhc3T5/24mmYX067BUqFgH1nruJw6fVuP95stePzIscaTHPHJLi7PJ/VMpWaAYbI1zDAEHmRxWbHvtOOdVSmD/VeI2xKdCjmN18sclMPRmH2nbkCY5MVceEa3BagF3BsS8tUaq4FQ+RrGGCIvOg/pTWobV6Gf2xypFdfe8W3HaMwu4uvoLCspluPfSfPcU2l745JhDKAV9+9EVfjJfJdDDBEXnSgxDGV+Y6B0V5fhj8tJgzzxjmWIfjdp0Ww2uxdetzZqlrsOX0FggAsvjPNkyX6HK4FQ+S7GGCIvOjABUf/ye0ynYZZPWsowoNVOFJWg9f3ne/SY/721QUAwHeGxyMtJsyD1fmeliZenkIi8jUMMEReYrXZUXChGgBwW7o8ASZBG4J13x0BANiYewbF+toO968yNmHL4UsAgCWT0z1en69J1DpGYK7WmdBkce9VvYmodxhgiLzk5OVa1JttCA9WYZhOvrWJFk5IxoxhcTDb7Pj1h0dg6eBU0pOfFcFktWNcSiRulyl0ySkyNAghQUoAgN7AURgiX8IAQ+Ql+c39LxPTomRthBUEAX+cPxrakCAcKzfg1d1tXycp90Ql/nVMD6VCwDPfHwVB6DvNu06CIHAtGCIfxQBD5CUHm08f3Z7e8+X83SU+IhhPfW8kAOCF3NNY9UEhqmpbRhgKy2qw5h9HAQD/NSUdIxO1stTpC7gWDJFvcvu1kIjoZqIo4qCzgTfdM1ef7q554xJRVGHA/31Vgi2Hy5FbVIlfTr8FZqsdr+05h0aLDaOTtFg5Y4jcpcqKa8EQ+SYGGCIvOHelDtX1ZmhUCoxOipS7HACO0yO/nTsCc8ckYt0nx3H0kgHPbj8lbZ86pD/+N/tWhKiVMlYpP64FQ+SbGGCIvOBAiWP0ZXxqJNQq3zpzOy4lEh//chL+frAMHxwqQ1JkCKYMjsWCCckI6iPXPOoI14Ih8k0MMERe4FzAzhf6X9qiVAi4LyMV92Wkyl2Kz2ETL5Fv4j+viLzA2f+S0QenIvs751owFTVNEEVR5mqIyIkBhsjDLl1vQHlNI1QKAeNTI+Uuh7pJp3WMwDRabLjeYJG5GiJyYoAh8jDn9OlRSVqEqnnW1t8EBykRF64B4AijROQbGGCIPOxAiXP9F54+8lfJUY7TSJeusw+GyFcwwBB52OGLNQAcK/CSf0qJDgXAERgiX8IAQ+RB9SYrzlQ5Lpg4LiVS3mKoxzgCQ+R7GGCIPOh4uQF2EUjQBiMuIljucqiHkqOcIzAMMES+ggGGyIOOXKoBAIxNjpS1Duod5whMWTVPIRH5CgYYIg86UmYAAIzl6SO/1noEhmvBEPkGBhgiD2oZgem7V3MOBImRwRAEx1ow1fVmucshIjDAEHnM1ToTLl1vhCAAoxhg/JpGpUR8uKOHiX0wRL6BAYbIQ442j74M6t8PEcFB8hZDvcaZSES+hQGGyEOc/S9jOPoSEKRGXq4FQ+QTGGCIPMTZ/8L1XwJDSyMvAwyRL2CAIfIAURRx9JJzBCZS3mLILXgKici3MMAQecCl642orjcjSClgeEK43OWQG7RcToABhsgXMMAQeUBhWQ0AYERCBDQqpbzFkFu0jMA0cC0YIh/AAEPkAc4ZSDx9FDgStCEQBKDJYsfVOq4FQyQ3BhgiD+AKvIFHrVJAF+FcC4aNvERyY4AhcjOrzY5j5Y4AMy6FU6gDCRt5iXwHAwyRm529UodGiw39NCoMjO0ndznkRim8KjWRz2CAIXKzI80NvKOTtFAoBHmLIbfiYnZEvsMjAaa8vBw//vGPERMTg5CQEIwePRqHDh2StouiiHXr1iEhIQEhISHIysrCmTNnXJ6juroa2dnZiIiIQGRkJJYsWYK6ujpPlEvkVoXOFXh5+ijgJHMEhshnuD3AXL9+HZMmTUJQUBD+/e9/48SJE/if//kfREVFSfts2LABmzZtwmuvvYb8/HyEhYVh1qxZaGpqkvbJzs5GUVERcnNzsW3bNuzduxfLli1zd7lEbuecgTSOM5ACTuup1EQkL5W7n/DZZ59FSkoK3nzzTem+9PR06c+iKGLjxo14/PHHMW/ePADAO++8g/j4eGzduhWLFi3CyZMnsX37dhw8eBATJ04EALz00ku466678PzzzyMxMdHdZRO5RZPFhlP6WgCcgRSInCMw5dcbIYoiBIGnCInk4vYRmE8//RQTJ07ED37wA8TFxWH8+PH461//Km0vKSmBXq9HVlaWdJ9Wq0VGRgby8vIAAHl5eYiMjJTCCwBkZWVBoVAgPz+/zdc1mUwwGo0uNyJvK6owwmYXEdtPgwRtsNzlkJslRAZDIQAmqx1X6kxyl0PUp7k9wJw/fx6vvvoqBg8ejM8//xy/+MUv8OCDD+Ltt98GAOj1egBAfHy8y+Pi4+OlbXq9HnFxcS7bVSoVoqOjpX1utH79emi1WumWkpLi7kMj6pSzgXdcipb/Og9AQUoFErTNjbzV7IMhkpPbA4zdbsett96KP/7xjxg/fjyWLVuGpUuX4rXXXnP3S7lYu3YtDAaDdCsrK/Po6xG1xXkF6rHsfwlYSeyDIfIJbg8wCQkJGDFihMt9w4cPR2lpKQBAp9MBACorK132qayslLbpdDpUVVW5bLdaraiurpb2uZFGo0FERITLjcjbpCtQs/8lYHExOyLf4PYAM2nSJBQXF7vcd/r0aaSlpQFwNPTqdDrs2LFD2m40GpGfn4/MzEwAQGZmJmpqalBQUCDts3PnTtjtdmRkZLi7ZCK3qGkwo+RqPQBgbDKnUAeqlqnUHIEhkpPbZyE9/PDDuPPOO/HHP/4RP/zhD3HgwAG8/vrreP311wEAgiBg5cqV+MMf/oDBgwcjPT0dTzzxBBITE3HPPfcAcIzYzJ49Wzr1ZLFYsGLFCixatIgzkMhnOUdf0mJCERmqlrka8pS0aEeAuXiNAYZITm4PMLfddhs+/vhjrF27Fk8//TTS09OxceNGZGdnS/s8+uijqK+vx7Jly1BTU4PJkydj+/btCA5umbWRk5ODFStWYMaMGVAoFFiwYAE2bdrk7nKJ3OYo+1/6hAGxDDBEvkAQRVGUuwhPMBqN0Gq1MBgM7Ichr/ivtw/hy5OVeOK7I7BkcnrnDyC/dKXWhNue+RKCAJz6/WxoVEq5SyIKKF39/c1rIRG5gSiKrWYgsf8lkMX2UyNMrYQocio1kZwYYIjcQG9swpVaE5QKASMTGWACmSAISIsJAwBcvFYvczVEfRcDDJEbOBewGxofjhA1TykEurQY9sEQyY0BhsgNjjTPQBrLK1D3CRyBIZIfAwyRGzhHYDgDqW+QRmCqOQJDJBcGGKJesttFHHOuwMsA0yfwFBKR/BhgiHrp/NV61JqsCA5SYEh8P7nLIS8Y0HwKqay6AVabXeZqiPomBhiiXnKePhqVqIVKyY9UX6CLCIZapYDVLuKyoUnucoj6JH7bEvWStAIvL+DYZygUAlKbLylwgY28RLJggCHqpSNS/wtnIPUlvCYSkbwYYIh6wWy140SFEQAwjiMwfQqnUhPJiwGGqBeK9bUw2+yIDA2STilQ3+CciXSBIzBEsmCAIeqFwub+lzHJkRAEQd5iyKucAaaUAYZIFgwwRL1wVFrAjv0vfY1zKvXF6nqIoihzNUR9DwMMUS+0XIE6UtY6yPuSokKgVAhosthRVWuSuxyiPocBhqiH6kxWnKmqAwCM4TWQ+pwgpQJJkSEAgAtX2chL5G0MMEQ9dLzcAFEEErXBiAsPlrsckgEvKUAkHwYYoh462qqBl/qmlos6cgSGyNsYYIh66EiZYwE7rsDbdzkbeTmVmsj7GGCIeqilgZf9L32Vc+0fTqUm8j4GGKIeuFZnwqXrjRAEYBQDTJ81INY5AsOp1ETexgBD1ANHm69/NDA2DBHBQTJXQ3JxjsDUNllxvcEiczVEfQsDDFEPFDoXsGP/S58WHKREotYxA63kap3M1RD1LQwwRD1wlAvYUbOB/fsBAM5d4UwkIm9igCHqJlEUceQSZyCRw8D+jj6Yc1c4AkPkTQwwRN106XojquvNCFIKGJ4QLnc5JLNBzSMw5zkCQ+RVDDBE3eScPj08IQIalVLeYkh2zhGY8xyBIfIqBhiibnLOQBrD6dOElh6Y0uoGWGx2mash6jsYYIi6SZqBxAZeApAQEYyQICUsNhFl1VzQjshbGGCIusFmF3G8nA281EKhEJAe6zyNxD4YIm9hgCHqhrNVdWgw2xCmVkrNm0RSHwzXgiHyGgYYom5wNvCOStJCqRDkLYZ8BmciEXkfAwxRNxxp7n8Zx9NH1ArXgiHyPgYYom5omYEUKW8h5FMGcTVeIq9jgCHqoiaLDScvGwEAY1M4hZpaDOrfD4IAVNebca3OJHc5RH0CAwxRF528bITVLiImTI2kyBC5yyEfEqJWIiXKcWXq05U8jUTkDR4PMH/6058gCAJWrlwp3dfU1ITly5cjJiYG/fr1w4IFC1BZWenyuNLSUsydOxehoaGIi4vD6tWrYbVaPV0uUbuOtLoCtSCwgZdcDY5znEY6W1UrcyVEfYNHA8zBgwfxl7/8BWPGjHG5/+GHH8Znn32GDz/8EHv27EFFRQXmz58vbbfZbJg7dy7MZjO+/vprvP3223jrrbewbt06T5ZL1CGuwEsdGRzvuC7WmSqOwBB5g8cCTF1dHbKzs/HXv/4VUVFR0v0GgwF/+9vf8MILL+Db3/42JkyYgDfffBNff/01vvnmGwDAF198gRMnTuDdd9/FuHHjMGfOHPz+97/HK6+8ArPZ7KmSiTrEFXipI84RmNOVHIEh8gaPBZjly5dj7ty5yMrKcrm/oKAAFovF5f5hw4YhNTUVeXl5AIC8vDyMHj0a8fHx0j6zZs2C0WhEUVFRm69nMplgNBpdbkTucq3OhPNXHTNMbk2N6mRv6osGxztPIXEEhsgbVJ540vfffx+HDx/GwYMHb9qm1+uhVqsRGRnpcn98fDz0er20T+vw4tzu3NaW9evX46mnnnJD9UQ3K7h4HQAwJL4ftKFBMldDvuiW5hGYq3VmVNebER2mlrkiosDm9hGYsrIyPPTQQ8jJyUFwcLC7n75da9euhcFgkG5lZWVee20KfIeaA8yEtGiZKyFfFapWITnKMTvtDE8jEXmc2wNMQUEBqqqqcOutt0KlUkGlUmHPnj3YtGkTVCoV4uPjYTabUVNT4/K4yspK6HQ6AIBOp7tpVpLzZ+c+N9JoNIiIiHC5EbnLoQvVAIDbBvD0EbVP6oPhaSQij3N7gJkxYwaOHTuGwsJC6TZx4kRkZ2dLfw4KCsKOHTukxxQXF6O0tBSZmZkAgMzMTBw7dgxVVVXSPrm5uYiIiMCIESPcXTJRh5osNhxrvgL1RI7AUAeGOGcicQSGyOPc3gMTHh6OUaNGudwXFhaGmJgY6f4lS5Zg1apViI6ORkREBH71q18hMzMTd9xxBwBg5syZGDFiBO6//35s2LABer0ejz/+OJYvXw6NRuPukok6dPSSARabiLhwDVKiuYAdtc85lbpYzwBD5GkeaeLtzJ///GcoFAosWLAAJpMJs2bNwv/+7/9K25VKJbZt24Zf/OIXyMzMRFhYGBYvXoynn35ajnKpjzvYfPpo4oAoLmBHHRqmcwSYU/paiKLI/1+IPMgrAWb37t0uPwcHB+OVV17BK6+80u5j0tLS8K9//cvDlRF1roANvNRFg+P7QakQYGi0QG9sQoKWI3ZEnsJrIRF1wG4X2cBLXaZRKTGofxgA4NRlnkYi8iQGGKIOnL1SB2OTFSFBSgxP4Mw26twwneP/k5N6LqZJ5EkMMEQdOHTBcfpofGokgpT8uFDnhiU098FwBIbIo/iNTNQB5+mjiWk8fURdM7x5BOYUR2CIPIoBhqgD0gq8A9jAS13jHIE5d6UeJqtN5mqIAhcDDFE7qoxNKK1ugEIAbk2NlLsc8hO6iGBoQ4Jgs4u8sCORBzHAELXjYHP/y1BdBMKDeQFH6hpBEKT1YE6yD4bIYxhgiNrx9bmrAICMdJ4+ou4ZmagFABxvvgQFEbkfAwxRO74+dw0AMOmWWJkrIX8zKsnRyFtUwQBD5CkMMERtqKhpRMnVeigEIGMgR2Coe0YnOUZgiiqMsNlFmashCkwMMERt2H/WcfpoTHIkItj/Qt00sH8/hAQp0WC2oeRqvdzlEAUkBhiiNrScPoqRuRLyR0qFgBGJjtNI7IMh8gwGGKIbiKIojcBMGsT+F+qZUc0B5hgDDJFHMMAQ3eDclTpU1ZqgUSlwK1fgpR4alcSZSESexABDdIP9Zx2njyYOiEJwkFLmashfjWrVyGtnIy+R2zHAEN3Auf7LnTx9RL0wOK4fNCoF6kxWlFxjIy+RuzHAELVis4vIa27gvXMQG3ip51RKhTSd+nDzNbWIyH0YYIhaKaowwNhkRbhGJf3yIeqpCQMcPVQFDDBEbscAQ9SKs/8lY2AMVEp+PKh3JqQ6AswhBhgit+M3NFErzv4Xrv9C7jCheRbb2ao61DSYZa6GKLAwwBA1qzdZkV9SDQCYzOsfkRvE9NNgYGwYAOBwKUdhiNyJAYao2b4zV2G22pEWE4pb4vrJXQ4FCOcozKELDDBE7sQAQ9Tsy5OVAICs4fEQBEHmaihQSAGGfTBEbsUAQwTH9Omdp6oAOAIMkbtMbJ6JdKSsBmarXeZqiAIHAwwRgMKy66iuN0MbEiT9wiFyh4Gx/RAZGgST1Y4Tl41yl0MUMBhgiADknnCMvkwf2h9BnD5NbqRQCC3TqS9Uy1wNUeDgNzURWvW/jODpI3I/50VBuaAdkfswwFCfV3K1Hmer6hCkFDB1SH+5y6EANLFVI68o8sKORO7AAEN93o7m0Zc7BsYgIjhI5mooEI1NiUSQUsCVWhMuXW+UuxyigMAAQ31e7omW6dNEnhAcpMTIRMe1tQ5dZB8MkTswwFCfdr3eLK3PMWN4nMzVUCBzrgdzkAvaEbkFAwz1aTtOVcFmFzE8IQLJUaFyl0MBLCM9GgDw1Zmr7IMhcgMGGOrTtv6nHAAwZ5RO5koo0N15SyyClAJKqxtQcrVe7nKI/B4DDPVZlw2N2N989envj0+SuRoKdP00KtzePAqzq/iKzNUQ+T8GGOqztv6nAqII3J4ejZRonj4iz5s+1NFntbu4SuZKiPyf2wPM+vXrcdtttyE8PBxxcXG45557UFxc7LJPU1MTli9fjpiYGPTr1w8LFixAZWWlyz6lpaWYO3cuQkNDERcXh9WrV8Nqtbq7XOqjRFHElsOXAAALbuXoC3nHtOYAk3++Gg1mfp8R9YbbA8yePXuwfPlyfPPNN8jNzYXFYsHMmTNRX99yzvfhhx/GZ599hg8//BB79uxBRUUF5s+fL2232WyYO3cuzGYzvv76a7z99tt46623sG7dOneXS31UUYURZ6rqoFEpMGd0gtzlUB8xqH8YUqJDYLbZ8fXZa3KXQ+TXBNHD7fBXrlxBXFwc9uzZg6lTp8JgMKB///7YvHkzFi5cCAA4deoUhg8fjry8PNxxxx3497//je9+97uoqKhAfLxjbY7XXnsNa9aswZUrV6BWqzt9XaPRCK1WC4PBgIiICE8eIvmhpz4rwpv7L+C7YxLw8n23yl0O9SHrPjmOd/IuIjsjFc98f7Tc5RD5nK7+/vZ4D4zBYAAAREc7mtcKCgpgsViQlZUl7TNs2DCkpqYiLy8PAJCXl4fRo0dL4QUAZs2aBaPRiKKiIk+XTAHOYrPj08IKAMCCW5Nlrob6mmlDHZer2F18hdOpiXpB5cknt9vtWLlyJSZNmoRRo0YBAPR6PdRqNSIjI132jY+Ph16vl/ZpHV6c253b2mIymWAymaSfjUZetp7atvf0FVyrNyO2nxpTBsfKXQ71MZkDY6FWKVBe04gzVXUYEh8ud0lEfsmjIzDLly/H8ePH8f7773vyZQA4moe1Wq10S0lJ8fhrkn/actix9su8cUlQKTkRj7wrRK1E5sAYAMCuU5yNRNRTHvv2XrFiBbZt24Zdu3YhObllmF6n08FsNqOmpsZl/8rKSuh0OmmfG2clOX927nOjtWvXwmAwSLeysjI3Hg0FikpjE7444RjF49ovJJfprU4jEVHPuD3AiKKIFStW4OOPP8bOnTuRnp7usn3ChAkICgrCjh07pPuKi4tRWlqKzMxMAEBmZiaOHTuGqqqWf53k5uYiIiICI0aMaPN1NRoNIiIiXG5EN3pz/wVYbCJuGxCFUUlaucuhPso5nfrghWoYmywyV0Pkn9weYJYvX453330XmzdvRnh4OPR6PfR6PRobHZeQ12q1WLJkCVatWoVdu3ahoKAAP/3pT5GZmYk77rgDADBz5kyMGDEC999/P44cOYLPP/8cjz/+OJYvXw6NRuPukqmPqDNZkZN/EQCwbOogmauhvmxAbBgG9Q+D1S7ii6LKzh9ARDdxe4B59dVXYTAYMG3aNCQkJEi3v//979I+f/7zn/Hd734XCxYswNSpU6HT6bBlyxZpu1KpxLZt26BUKpGZmYkf//jHeOCBB/D000+7u1zqQ94/UIraJisG9g/DjGG88jTJ655xjlOY/yi4JHMlRP7J4+vAyIXrwFBrFpsd057bjfKaRqyfPxo/uj1V7pKojyuvacTkZ3dCFIGv1kzn1dCJmvnMOjBEvuBfxy6jvKYRsf3UbN4ln5AUGSLNRnLOjCOirmOAoYAniiJe33seALA4cwCCg5QyV0Tk4FxIccvhS1zUjqibGGAo4H119iqKKowICVLix3ekyV0OkWTOaB3C1EpcuNaAgovX5S6HyK8wwFBAs9rseOafJwEA996Wgqiwzq+jReQtoWqVdDHRj9jMS9QtDDAU0N47WIZT+lpoQ4Lw0IzBcpdDdBPnaaR/Hr2MRrNN5mqI/AcDDAWsmgYz/ueLYgDAIzOHcPSFfFJGejSSo0JQa7JKq0QTUecYYChgvZB7GjUNFgzTheM+TpsmH6VQCJjfPAqTk18qczVE/oMBhgLSKb0R737jWHV33d0jeNFG8mk/uj0FaqUCB0qq8c35a3KXQ+QX+K1OAcdmF/G7T4pgF4G7Rutw56BYuUsi6lCCNgQ/mOgYhdm044zM1RD5BwYYCjgv7TyD/JJqBAcp8Ju7hstdDlGX/HL6LQhSCvj63DUcvFAtdzlEPo8BhgLK7uIqvNj8L9hn7hnN5dnJbyRFhmDhhBQAwItfchSGqDMMMBQwymsasfLvhRBF4Ee3p2LBhGS5SyLqll9OGwSVQsBXZ6+i4CJHYYg6wgBDAcFkteGXOYdR02DBqKQI/O7uEXKXRNRtKdGh0rowL+44K3M1RL6NAYb8nslqw4Pv/QdHymqgDQnCq9kTeL0j8lvLp98CpULA3tNXsP/sVbnLIfJZDDDdYLPZsHv3brz33nvYvXs3bDaumim3RrMNS98pwOdFlVCrFHjpR+OREs2+F/JfqTGhyM5wrFv06EdHUdtkkbkiIt/EANNFW7ZswYABAzB9+nTcd999mD59OgYMGIAtW7bIXVqfVWeyYvGbB7D39BWEBCnxxuLbMHVIf7nLIuq1NbOHISU6BOU1jdK1vIjIFQNMF2zZsgULFy7EpUuuF1srLy/HwoULfSLE9LXRoUMXqrHw1a9xoKQa4RoV/t+S2zF5MNd7ocAQplHhuYVjAQDvHyzD7uIqmSsi8j2CKIqi3EV4gtFohFarhcFgQERERI+fx2azYcCAATeFFydBEJCcnIySkhIolR33XdhsNuzbtw+XL19GQkICpkyZ0uljumLLli146KGHXGpMTk7Giy++iPnz53vsdeVw6XoD/vTvU9h29DIAICo0CO/8LAOjk7UyV0bkfk99VoQ391+ALiIYnz88FdqQILlLIvK4rv7+ZoDpxO7duzF9+vRO99u1axemTJnSblDobchob7tzdOjGt1EQBADAr3/9a7z33nvtvq6/qDdZ8dqec3h973mYrHYIAnDvxBQ8MnMo+odr5C6PyCMazTbctWkfSq7WY84oHV6+71YoFYLcZRF5FAOMmwLMe++9h/vuu6/T/VauXImPPvqozaAAoFcho73w88ILL2DVqlXtjg61x/m6H330kc+HGLtdxJb/lGPD9lOoqjUBcFy9d93dIzAykaMuFPgKLl7HotfzYLGJWHRbCtbPHy19hokCEQOMl0dg2iYAEBEaHomG2pruPbJVuHn++efbDD+9eeu6c+rL267VmZDffFG7r85cxfmr9QCA1OhQ/Oau4Zg1Mp5f4NSn/PPoZfzqvcOwi8B/TU7Hb+cO52eAAhYDjJt7YMrLy9sPDIICEO09fo0OefK5AXye+yW+M+PbXv8yFEURTRY76kxW1JusOHHZiG/OX8M356/hdGWdy779NCqs+PYt+OmkAdCofCtsEXnLB4fK8OhHRwEAK7MGY2XWEJkrIvKMrv7+VnmxJr+kVCrx4osvYuHChTeNekg/ezBgePS5AWRv+hxhXzYhOEiB4CAlQoKUCA5SQqNSIEipgFqlgFqpQFDzf9UqwfFz87YgpcJlX4vNjnqTDfUmK+rNVjSYbagzWdFgtqLBZEO92erYbraio+g8TBeOOwbG4I6B0cgcGAttKJsXqW/74cQU1JuseOqzE9j45RlU1DTiye+NRKiaX+PUN/H//C6YP38+Pvroozb7UBYsWICNGzfKV1wvKftFAQCaLHY0WeyogfcXzQpVK5EaHSoFltvTYxAdpvZ6HUS+7qeT0mGx2bH+36fwwaFLOFxag1fuuxVDdeFyl0bkdTyF1A1tzQTat29fL3pk3Ke7PTGCICApKRnHi8/AbAOaLLbmmx2NFhvMVjssNjtMzf91/mxu/rPZZofFKsJss8FiE2G2OvZVKwWEalTop1EhVK1EmFqFUI0SYRqV48/q5j9rHNtCgpRQcFYFUbd8fe4qVr5fiKpaEzQqBR6ZOQQPZA7o05fQCKTlIvo69sB4IMC0pbMeGUEQEB0djepqx5Vlu/vXrVQqYbfb231u52ykhx9+2GV0KCUlBYsWLcLzzz9/0+v60ywkImrb1ToTHvngCPacvgIAiAvX4BfTBuFHt6f2uSDT2TIVnsTg5H4MMF4KMEDLSr1A+0EBwE0fsK6EDOcspI6eu6N1ZNr6YKekpGDjxo0ML0R+zm4X8WFBGTbtOIvymkYAQGw/Db4zIg7fGtIfd94Si4hg/+gf62kQ6GwtLHf8Q60736/uDE59NRx1+fe3GKAMBoMIQDQYDF55vX/84x9icnKyCEC6paSkiP/4xz+kfaxWq7hr1y5x8+bN4q5du0Sr1dqlx3bluTvS3usSUWAwWWziu99cEDP/+KWYtmabdBu49p/iD179Wnx55xnx2KUa0Wazy11qm9r6jktOTu70O85qtd70uNY3QRDElJQU0WQy9fg7sL3aVq9eLQqC0OZrCoIg1d7T79+u/J109Nydva4v/17o6u9vjsC4UW/Sck9X4iUicjJZbfj63DXsPX0Fe05fwfkr9S7bo0KDkBYThqSoECRHhSA5MgTJUaFIigpBgjYYYWqV13vSujqC0psexP79++PKlSvSzzeOknR3pfPOdHR6vysjNF35OwFuHtVvvXhqRyNDXRk56uh3jqd/H/EUkgwBhojIl5RVN2D36SvYU3wFX5+7igZz5xd5DQlSIkyjRIhaidAgRxN+qFqJ0OYmfNc/qxASpIBapUSQUoBapYBKoUCQUpCWXlApWv4cpFRApWxZigGiHRNGDUFFeXmbtXQWBBYuXNijWaBdCQI9Xem8O689b968m4IAgE6vv+fsq2wr4LT3K70ri6M66wJ6Ho7cgQGGAYaISGK22lGsr0V5TQMuXW/EpeuNKK9pRPn1Rly63gBjk9XrNTWVHkXle7/x+us6CAiN0KLBaIDjDI3rtpvvc+MrN4eQkJCQm4LA0qVL8bvf/c5jr61UKmGztR1kexuO3DUxhAGGAYaIqMsazTbHgpNmGxrMjsUmG82ORSkbLTbUm1y3N5qtqDfb0Gi2wWyzw2qzO5ZUsDmWXLDaRGnpBZefrY79LDY7DMd34+pnz/WucA+vVk5d487L03AlXiIi6rIQteO0UYwXX3PXrhB8u7cBxhleBAEdLu9NHiWKIsrKyrBv3z5MmzbNK6+p8MqrEBER3WDq1KlITk7u9bXYVq5cieSkJJf7+vfv36vn7Koba+/rF9m8fPmy116LAYaIiGThvNYc0LsgMG/ePFy4cAG7du3C5s2bsWvXLly6dMkt4ai92gRBwOrVq5F0Q3BKTk7GBx984JbXbu/vJCYmpsfPrVQqPRqyEhISPPbcN/HMLG75eXsdGCIi6pn21rr64IMPxOTk5DbXW0GrdV7aW8PkH//4h7Quy42PAyDGxMR0+twffvhhh+twdbS+V1uv3dXbU0891e7rdnZcN/7Z+bMgCNL6NT35O+no1tl70R1d/f3t0wHm5ZdfFtPS0kSNRiPefvvtYn5+fpcfywBDROQ/uhsEblwwrj0dLQTa1ed292J0XQlOVqu1w9ft7Lh6ujhqb8JRVxdX7YzfB5j3339fVKvV4htvvCEWFRWJS5cuFSMjI8XKysouPZ4BhogoMHhyNfLePndPXru3oawrx9WblXh7E47cwe9X4s3IyMBtt92Gl19+GQBgt9uRkpKCX/3qV3jsscc6fTynURMRBQ5Prv4qx0rnvn6dOq7E20NmsxmhoaH46KOPcM8990j3L168GDU1Nfjkk09ueozJZILJZJJ+NhqNSElJYYAhIiKfxEvEtM2v14G5evUqbDYb4uPjXe6Pj4/HqVOn2nzM+vXr8dRTT3mjPCIiol5TKpVeWzMlEAXMNOq1a9fCYDBIt7KyMrlLIiIiIg/xyRGY2NhYKJVKVFZWutxfWVkJnU7X5mM0Gg00Go03yiMiIiKZ+eQIjFqtxoQJE7Bjxw7pPrvdjh07diAzM1PGyoiIiMgX+OQIDACsWrUKixcvxsSJE3H77bdj48aNqK+vx09/+lO5SyMiIiKZ+WyAuffee3HlyhWsW7cOer0e48aNw/bt229q7CUiIqK+xyenUbsD14EhIiLyP139/e2TPTBEREREHWGAISIiIr/DAENERER+hwGGiIiI/I7PzkLqLWdvstFolLkSIiIi6irn7+3O5hgFbICpra0F4Li6JxEREfmX2tpaaLXadrcH7DRqu92OiooKhIeHQxCEXj2X88rWZWVlATslm8cYOPrCcfIYA0NfOEagbxynO49RFEXU1tYiMTERCkX7nS4BOwKjUCiQnJzs1ueMiIgI2P/5nHiMgaMvHCePMTD0hWME+sZxuusYOxp5cWITLxEREfkdBhgiIiLyOwwwXaDRaPC73/0OGo1G7lI8hscYOPrCcfIYA0NfOEagbxynHMcYsE28REREFLg4AkNERER+hwGGiIiI/A4DDBEREfkdBhgiIiLyOwww7fjTn/4EQRCwcuVK6b6mpiYsX74cMTEx6NevHxYsWIDKykr5iuylto5x2rRpEATB5fbzn/9cviJ74Mknn7zpGIYNGyZtD4T3sbNjDIT3EQDKy8vx4x//GDExMQgJCcHo0aNx6NAhabsoili3bh0SEhIQEhKCrKwsnDlzRsaKu6+zY/zJT35y03s5e/ZsGSvuvgEDBtx0DIIgYPny5QAC4zPZ2TEGwmfSZrPhiSeeQHp6OkJCQjBo0CD8/ve/d7lmkTc/kwG7Em9vHDx4EH/5y18wZswYl/sffvhh/POf/8SHH34IrVaLFStWYP78+di/f79MlfZce8cIAEuXLsXTTz8t/RwaGurN0txi5MiR+PLLL6WfVaqW/9UD5X3s6BgB/38fr1+/jkmTJmH69On497//jf79++PMmTOIioqS9tmwYQM2bdqEt99+G+np6XjiiScwa9YsnDhxAsHBwTJW3zVdOUYAmD17Nt58803pZ3+bjnvw4EHYbDbp5+PHj+M73/kOfvCDHwAIjM9kZ8cI+P9n8tlnn8Wrr76Kt99+GyNHjsShQ4fw05/+FFqtFg8++CAAL38mRXJRW1srDh48WMzNzRW/9a1viQ899JAoiqJYU1MjBgUFiR9++KG078mTJ0UAYl5enkzV9kx7xyiK4k0/+6Pf/e534tixY9vcFijvY0fHKIqB8T6uWbNGnDx5crvb7Xa7qNPpxOeee066r6amRtRoNOJ7773njRJ7rbNjFEVRXLx4sThv3jzvFOQlDz30kDho0CDRbrcHzGfyRq2PURQD4zM5d+5c8Wc/+5nLffPnzxezs7NFUfT+Z5KnkG6wfPlyzJ07F1lZWS73FxQUwGKxuNw/bNgwpKamIi8vz9tl9kp7x+iUk5OD2NhYjBo1CmvXrkVDQ4OXK+y9M2fOIDExEQMHDkR2djZKS0sBBNb72N4xOvn7+/jpp59i4sSJ+MEPfoC4uDiMHz8ef/3rX6XtJSUl0Ov1Lu+lVqtFRkaG37yXnR2j0+7duxEXF4ehQ4fiF7/4Ba5duyZDte5hNpvx7rvv4mc/+xkEQQioz6TTjcfo5O+fyTvvvBM7duzA6dOnAQBHjhzBV199hTlz5gDw/meSp5Baef/993H48GEcPHjwpm16vR5qtRqRkZEu98fHx0Ov13upwt7r6BgB4L777kNaWhoSExNx9OhRrFmzBsXFxdiyZYuXK+25jIwMvPXWWxg6dCguX76Mp556ClOmTMHx48cD5n3s6BjDw8MD4n08f/48Xn31VaxatQq/+c1vcPDgQTz44INQq9VYvHix9H7Fx8e7PM6f3svOjhFwnD6aP38+0tPTce7cOfzmN7/BnDlzkJeXB6VSKfMRdN/WrVtRU1ODn/zkJwAC57u1tRuPEQiM79bHHnsMRqMRw4YNg1KphM1mwzPPPIPs7GwA8PpnkgGmWVlZGR566CHk5ub6xbnznujKMS5btkz68+jRo5GQkIAZM2bg3LlzGDRokLdK7RXnvwYAYMyYMcjIyEBaWho++OADhISEyFiZ+3R0jEuWLAmI99Fut2PixIn44x//CAAYP348jh8/jtdee0365e7vunKMixYtkvYfPXo0xowZg0GDBmH37t2YMWOGLHX3xt/+9jfMmTMHiYmJcpfiMW0dYyB8Jj/44APk5ORg8+bNGDlyJAoLC7Fy5UokJibK8pnkKaRmBQUFqKqqwq233gqVSgWVSoU9e/Zg06ZNUKlUiI+Ph9lsRk1NjcvjKisrodPp5Cm6mzo7xtYNaE4ZGRkAgLNnz3q7XLeJjIzEkCFDcPbsWeh0Or9/H9vS+hjb4o/vY0JCAkaMGOFy3/Dhw6VTZc7368bZKv70XnZ2jG0ZOHAgYmNj/eq9dLp48SK+/PJL/Nd//Zd0X6B9Jts6xrb442dy9erVeOyxx7Bo0SKMHj0a999/Px5++GGsX78egPc/kwwwzWbMmIFjx46hsLBQuk2cOBHZ2dnSn4OCgrBjxw7pMcXFxSgtLUVmZqaMlXddZ8fY1nB0YWEhAMcXrb+qq6vDuXPnkJCQgAkTJvj9+9iW1sfYFn98HydNmoTi4mKX+06fPo20tDQAQHp6OnQ6nct7aTQakZ+f7zfvZWfH2JZLly7h2rVrfvVeOr355puIi4vD3LlzpfsC7TPZ1jG2xR8/kw0NDVAoXGODUqmE3W4HIMNn0u1twQHkxq7xn//852Jqaqq4c+dO8dChQ2JmZqaYmZkpX4Fu0PoYz549Kz799NPioUOHxJKSEvGTTz4RBw4cKE6dOlXeIrvpkUceEXfv3i2WlJSI+/fvF7OyssTY2FixqqpKFMXAeB87OsZAeR8PHDggqlQq8ZlnnhHPnDkj5uTkiKGhoeK7774r7fOnP/1JjIyMFD/55BPx6NGj4rx588T09HSxsbFRxsq7rrNjrK2tFX/961+LeXl5YklJifjll1+Kt956qzh48GCxqalJ5uq7x2aziampqeKaNWtu2hYIn0lRbP8YA+UzuXjxYjEpKUnctm2bWFJSIm7ZskWMjY0VH330UWkfb34mGWA6cGOAaWxsFH/5y1+KUVFRYmhoqPj9739fvHz5snwFukHrYywtLRWnTp0qRkdHixqNRrzlllvE1atXiwaDQd4iu+nee+8VExISRLVaLSYlJYn33nuvePbsWWl7ILyPHR1joLyPoiiKn332mThq1ChRo9GIw4YNE19//XWX7Xa7XXziiSfE+Ph4UaPRiDNmzBCLi4tlqrZnOjrGhoYGcebMmWL//v3FoKAgMS0tTVy6dKmo1+tlrLhnPv/8cxFAm+9PIHwmRbH9YwyUz6TRaBQfeughMTU1VQwODhYHDhwo/va3vxVNJpO0jzc/k4IotlpCj4iIiMgPsAeGiIiI/A4DDBEREfkdBhgiIiLyOwwwRERE5HcYYIiIiMjvMMAQERGR32GAISIiIr/DAENERER+hwGGiIiI/A4DDBEREfkdBhgiIiLyOwwwRERE5Hf+P65U7Y57cbmdAAAAAElFTkSuQmCC", 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Migrad
FCN = 35.17 (χ²/ndof = 0.8) Nfcn = 91
EDM = 2.29e-12 (Goal: 0.0002)
Valid Minimum No Parameters at limit
Below EDM threshold (goal x 10) Below call limit
Covariance Hesse ok Accurate Pos. def. Not forced
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Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 A_p1 400 4 yes
1 A_p2 700 7 yes
2 mu_p1 54.0 0.5 yes
3 mu_p2 60.0 0.6 yes
4 sigma_p1 2.00 0.02 yes
5 sigma_p2 2.00 0.02 yes
6 A_bkg 108 12
7 tau_bkg 39.9 3.0 0
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A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg
A_p1 0 0 0 0 0 0 0 0
A_p2 0 0 0 0 0 0 0 0
mu_p1 0 0 0 0 0 0 0 0
mu_p2 0 0 0 0 0 0 0 0
sigma_p1 0 0 0 0 0 0 0 0
sigma_p2 0 0 0 0 0 0 0 0
A_bkg 0 0 0 0 0 0 152 -36 (-0.963)
tau_bkg 0 0 0 0 0 0 -36 (-0.963) 9.15
" + ], + "text/plain": [ + "┌─────────────────────────────────────────────────────────────────────────┐\n", + "│ Migrad │\n", + "├──────────────────────────────────┬──────────────────────────────────────┤\n", + "│ FCN = 35.17 (χ²/ndof = 0.8) │ Nfcn = 91 │\n", + "│ EDM = 2.29e-12 (Goal: 0.0002) │ │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Valid Minimum │ No Parameters at limit │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Below EDM threshold (goal x 10) │ Below call limit │\n", + "├───────────────┬──────────────────┼───────────┬─────────────┬────────────┤\n", + "│ Covariance │ Hesse ok │ Accurate │ Pos. def. │ Not forced │\n", + "└───────────────┴──────────────────┴───────────┴─────────────┴────────────┘\n", + "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ A_p1 │ 400 │ 4 │ │ │ │ │ yes │\n", + "│ 1 │ A_p2 │ 700 │ 7 │ │ │ │ │ yes │\n", + "│ 2 │ mu_p1 │ 54.0 │ 0.5 │ │ │ │ │ yes │\n", + "│ 3 │ mu_p2 │ 60.0 │ 0.6 │ │ │ │ │ yes │\n", + "│ 4 │ sigma_p1 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", + "│ 5 │ sigma_p2 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", + "│ 6 │ A_bkg │ 108 │ 12 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 39.9 │ 3.0 │ │ │ 0 │ │ │\n", + "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", + "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", + "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", + "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", + "│ A_p1 │ 0 0 0 0 0 0 0 0 │\n", + "│ A_p2 │ 0 0 0 0 0 0 0 0 │\n", + "│ mu_p1 │ 0 0 0 0 0 0 0 0 │\n", + "│ mu_p2 │ 0 0 0 0 0 0 0 0 │\n", + "│ sigma_p1 │ 0 0 0 0 0 0 0 0 │\n", + "│ sigma_p2 │ 0 0 0 0 0 0 0 0 │\n", + "│ A_bkg │ 0 0 0 0 0 0 152 -36 │\n", + "│ tau_bkg │ 0 0 0 0 0 0 -36 9.15 │\n", + "└──────────┴─────────────────────────────────────────────────────────────────────────┘" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -2243,23 +2415,23 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 121, "id": "0b435af3-73ea-42de-9ab7-6a16ae9dbceb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 81, + "execution_count": 121, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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IyQ4RWZ07d+7g/v37sLOzQ6tWrSp1Ljc3NzRu3BgAu7KIbBWTHSKyOmfOnAEANG/e3CgFRENCQgAA58+fr/S5iMjyMNkhIqujSXYq26qjoZl+rpnKTkS2hckOEVkdUyU7Fy9eNMr5iMiyMNkhIqtjypYdFpUnsj1MdojIqmRmZuLatWsAjJfsNGnSBHK5HOnp6bh7965RzklEloPJDhFZlfPnz0MURSiVSnh5eRnlnI6OjmjSpAkAjtshskVMdojIqpw+fRqA8Vp1NDhImch2MdkhIqti7PE6Gkx2iGwXkx0isiqmTnY4I4vI9jDZISKroVarcfbsWQCmTXY4I4vItjDZISKrERMTg4yMDDg6OqJZs2ZGPXeTJk1gZ2eH9PR03Llzx6jnJiLzYrJDRFZDs5xDUFAQ7OzsjHpuBwcHzsgislFMdojIamjG02i6nIyNg5SJbBOTHSKyGpokJCgoyCTn15z38uXLJjk/EZkHkx0ishqalh1TJTuabixNhWYisg1MdojIKhQUFODSpUsATJfsNG3aFABw9epVk5yfiMyDyQ4RWYXbt28jOzsbjo6OaNiwoUmuoWnZSUhIQEZGhkmuQURVj8kOEVkFTRdWYGAg5HK5Sa5Rq1YteHh4AACuX79ukmsQUdVjskNEVsGQ8TpZufnwn/YH/Kf9gazc/GLbpeG4HSLbw2SHiKyCqQcnazDZIbI9THaIyCow2SGiimKyQ0QWTxRFJjtEVGFMdojI4sXFxSEzMxP29vZo1KhRpc9X2hgeJjtEtofJDhFZPE2rTtOmTWFvb2/Sa2mSnaSkJKSlpZn0WkRUNZjsEJHFq6ouLABwc3ODl5cXALbuENkKJjtEZPE0a1UFBgZWyfU0lZSZ7BDZBiY7RGTxNMs3NGvWrEqux3E7RLaFyQ4RWbwrV64AeNziYghVWnap2/ow2SGyLXbmDoCIqDTp6elQqVQAyp/sbDx5R/o5/NP96N/KV2d7Tv8Wpb6eyQ6RbTF7y87du3fxyiuvwMPDA05OTggODsaJEyek/aIoYtasWfDx8YGTkxPCw8OLfQAlJydj6NChcHNzg7u7O0aOHMlF/IhshKYLy9vbGwqFoszjE9IeYfaWC9K2WgQ2n47X2dber49mevvNmzcrEjIRWRizJjspKSno3Lkz7O3t8eeff+LixYv45JNPUKtWLemYxYsXY9myZfjqq69w9OhRuLi4ICIiAtnZj5uihw4digsXLmDXrl3Ytm0bDhw4gNGjR5vjlojIyDTJTnlbdWLuZ0Itln6M9n593VqaVdXv3bvHL05ENsCsyc6iRYtQv359rFq1Ch06dEBAQAB69+4tfasSRRFLly7FjBkzMGDAAISEhOD7779HfHw8Nm/eDAC4dOkSduzYgW+//RYdO3ZEly5d8Pnnn2P9+vWIj48v5epEZA0MHZwcUMcFMqH0Y7R3h3+6Hz8fj9XZr1AopC9dMTEx5Y6ViCyTWZOdLVu2oF27dhg8eDC8vLwQGhqKb775RtofExMDlUqF8PBw6TmFQoGOHTsiOjoaABAdHQ13d3e0a9dOOiY8PBwymQxHjx7Ve92cnBykp6frPIjIMhk6ONlH4aQzJkcmAM+1fjxmp2gepBaBdzedR0LaI53nAwICADDZIbIFZk12bt68iRUrVqBJkybYuXMnxowZg/Hjx2PNmjUAIA1K9Pb21nmdt7e3tE+lUkkFwDTs7OxQu3Zt6ZiiFixYAIVCIT3q169v7FsjIiOpyLTzQW3rST9HTe6G+QODpe2PB4egaC9XgSji1v0snec0XVkct0Nk/cya7KjVarRp0wbz589HaGgoRo8ejVGjRuGrr74y6XWnT5+OtLQ06REXF2fS6xFRxYiiaPCYnaKUiho626ENahXr5pILAvzrOOs8x5YdItth1mTHx8enWPn35s2bIza2sP9cqVQCABITE3WOSUxMlPYplUokJSXp7M/Pz0dycrJ0TFGOjo5wc3PTeRCR5UlISEBGRgbkcrnU0lJZSkWNYt1c8we2hI/CSec4tuwQ2Q6zJjudO3eW+uM1rl69Cj8/PwCF36yUSiV2794t7U9PT8fRo0cRFhYGAAgLC0NqaipOnjwpHbNnzx6o1Wp07NixCu6CiExF06oTEBAABwcHo523aDfXi+0bFDuGLTtEtsOsRQUnTZqEJ554AvPnz8cLL7yAY8eO4euvv8bXX38NABAEARMnTsSHH36IJk2aICAgADNnzoSvry+ee+45AIUtQX369JG6v/Ly8jB27Fi89NJL8PX1LeXqRGTpKlM5ubyKdnNpaCc7oihCEMqY4kVEFsusyU779u3x22+/Yfr06Zg7dy4CAgKwdOlSDB06VDrmnXfeQWZmJkaPHo3U1FR06dIFO3bsQI0ajz+g1q5di7Fjx6Jnz56QyWQYNGgQli1bZo5bIiIjqqo1sbJy8xE0aycA4OLcCDg72MHPzw+CICArKwtJSUnFJkoQkfUw+3IRzzzzDJ555pkS9wuCgLlz52Lu3LklHlO7dm2sW7fOFOERkRlVRctOSRwdHVG3bl3cuXMHMTExTHaIrJjZl4sgIipJZWdiVRYHKRPZBrO37BAR6ZOXlyclGYZ2Yzk72OHWwn46z2lvZ+Xml+s8AQEBOHDgAAcpE1k5JjtEZJFu3ryJgoICuLi4VOlkA+3xO6808JNiISLrxW4sIrJI2l1Y5poJ5c/p50Q2gckOEVkkcw5O1vD39wfAZIfI2rEbi4gskikHJxcd01PSGJ6AgMIByrGxscjLy4O9vb3RYyEi02PLDhFZpKqqsVNUYnq29LO3UglHR0eo1WrcuXOnSuMgIuNhskNEFqkqu7E2nnycyDz7+SHpZ5lMhnr16gMAwt5bX+5ZXERkWZjsEJHFSU9Ph0qlAlByspOVmw//aX/Af9oflUpCEtIeYfaWC9K2WtTdX79B4bpZ+Wn3KnwNIjIvJjtEZHE0XVje3t5QKBQmvVbM/cxiCY62Bn7/JjvpSSaNg4hMh8kOEVmcqqycHFDHBbISZrar0rLR4N9aOwXpbNkhslZMdojI4lTl4GQfhRPm9G8hbWvnPeGf7scDRWHClZ9W2LJjrO4zIqo6THaIyOJUZHByZZKQQW3rPd7QynbUIrAjSQF5TQ92YxFZMSY7RGRxzDXtHADEIuN31ADs3H2Rn34PYtGdRGQVmOwQkUURRdGsq50XHb8jE4D81ASgIA9JSWzdIbJGFaqgfO3aNezduxdJSUlQq9U6+2bNmmWUwIioekpISEBGRgbkcjkaNmxY5dd/9+nm+PCPSwAKE505/Vvgv6sUsKvlgzNXYtDb27vKYyKiyjE42fnmm28wZswY1KlTB0qlUmeBPkEQmOwQUaVoWnUCAgLg4OBQrteo0rKhVNQwyvWfC/WVkp2oyd1w6Pp9KF9dAkEmw6SoVMx1YSVlImtjcLLz4YcfYt68eZg6daop4iGiaq68g5O1qx6Hf7pfZ0aVMc3ecgGCrLDHX4SgU4CQiKyDwWN2UlJSMHjwYFPEQkRUrsHJ+qoemyIJuf2geMFB7W1VWjaIyPIZnOwMHjwYf/31lyliISIqV8uOvqrHpVVBrig/j+IFB4vW4fn5eKzxL0xERmVwN1bjxo0xc+ZMHDlyBMHBwbC3t9fZP378eKMFR0TVT3ladjRVj7UTHO1tVVo2Gnq6lvuazg52uLWwHwDo1OhRKmpgTv8WmLH5fOH4RFENCI+/I6pF4N1N59G1qSd8FE7lvh4RVS1BNLBwREBAQMknEwTcvHmz0kFVtfT0dCgUCqSlpcHNzc3c4RBVW3l5eXByckJBQQHu3LmDunXrSvuycvMRNGsnAODi3AhsPHkHM38v7LqSCUD/Vr7YfDpe2l4wMBgvtm9gcAxFrwMAjSO/RfLOL+Hm5Qvn8HHFXvPTqE4Ia+Rh8LWIqHLK+/fb4JadmJiYSgVGRFSSmzdvoqCgAC4uLvD19S312EFt60nJzk+jOmHIN0ekfcZucbFz9UBO3Dkkp8bDtZdui5JcEOBfx7nS1yAi02FRQSKyGNrjdbTLWpQlKze/2JidAlHErftZRolL5ugMmaMLCh4+wOh27o+fF4D5A1uyC4vIwpWrZWfy5Mn44IMP4OLigsmTJ5d67KeffmqUwIio+tEkO4YuE6EZSGyMFhft8TvA4zE8coUX1EkxaCp/AEAOoLAOjyFjg4jIPMqV7Jw6dQp5eXnSzyUx5JsYEVFRFU12NAOJtcfwGLvFxc7NC3lJMYiLiwUQIF2XiCxfuZKdvXv36v2ZiMiYKprsALpjeEzR4mKn8AIAxMbGAvKSJ2oQkeWp1JiduLg4xMXFGSsWIqrmKpPsaDNFi4u8pieAf5MdLVm5+fCf9gf8p/2hM22diCyHwclOfn4+Zs6cCYVCAX9/f/j7+0OhUGDGjBlSVxcRkaFSUlJw7949AGUvFWGOysWalp242NtVfm0iqhyDp56PGzcOmzZtwuLFixEWFgYAiI6Oxvvvv48HDx5gxYoVRg+SiGyfplWnbt26cHUt3gVVdC2sBQOD9Q4kNjbNgOVjxzzR8feFiIuLg33ZLyMiC2JwsrNu3TqsX78effv2lZ4LCQlB/fr1MWTIECY7RFQhpXVh6VsLq6orF/v5+RXGEh+P+gV5EORMeYishcHdWI6OjvD39y/2fEBAABwcHIwRExFVQ6UlO/rWwjJmHZ3y8PT0hKOjI0RRRP7DB1V2XSKqPIOTnbFjx+KDDz5ATk6O9FxOTg7mzZuHsWPHGjU4Iqo+Skt2NGthaavqysUymQwNGhQuP7H2pUa4tbAfnB0MbhwnIjMo1zt14MCBOttRUVGoV68eWrVqBQA4c+YMcnNz0bNnT+NHSETVQmnJjo/CyeR1dMrDz88P165dw+3bHKRMZE3KlewoFAqd7UGDBuls169f33gREVG1U1BQgOvXrwMoedp5WXV0ilY+NgXNuB0mO0TWpVzJzqpVq0wdBxFVY7dv30ZOTg4cHR2lrqLSmKtysSa2kuqLqdKyuXwEkQUy60Kg77//PgRB0HkEBgZK+7OzsxEZGQkPDw+4urpi0KBBSExM1DlHbGws+vXrB2dnZ3h5eWHKlCnIz2dhLyJrounCatKkCeRyuZmjKZmmFVu7sGDRKfE/H48t9joiMi+zr3reokULJCQkSI+DBw9K+yZNmoStW7diw4YN2L9/P+Lj43XGDxUUFKBfv37Izc3F4cOHsWbNGqxevRqzZs0yx60QUQUZq3KyqWladjTJTklT4hPSHpklPiLSz+xTCezs7KBUKos9n5aWhpUrV2LdunXo0aMHgMLutObNm+PIkSPo1KkT/vrrL1y8eBFRUVHw9vZG69at8cEHH2Dq1Kl4//33ORWeyEpYW7ITFxcHURRLnRJf1YOniahkZm/ZuXbtGnx9fdGwYUMMHTpU+sZ08uRJ5OXlITw8XDo2MDAQDRo0QHR0NIDCys3BwcHw9vaWjomIiEB6ejouXLiAkuTk5CA9PV3nQUTmoy/ZscQ1p+rVqwcAyMzMREpKikVMiSeishmU7OTl5aFnz564du2aUS7esWNHrF69Gjt27MCKFSsQExODJ598Eg8fPoRKpYKDgwPc3d11XuPt7Q2VSgUAUKlUOomOZr9mX0kWLFgAhUIhPTibjMi8Ll++DMDyW3acnJzg6fl4QVDNlHgNc02JJ6LSGZTs2Nvb4+zZs0a7eN++fTF48GCEhIQgIiIC27dvR2pqKn755RejXUOf6dOnIy0tTXpw5XYi80lPT0dCQgIAy092gOIzsga1rSfti5rcDS+2L3s2GRFVLYO7sV555RWsXLnSFLHA3d0dTZs2xfXr16FUKpGbm4vU1FSdYxITE6UxPkqlstjsLM22vnFAGo6OjnBzc9N5EJF5XL16FQDg5eVVrCVXm6aOjrkrFxcdpKzNXFPiiah0Bn9i5Ofn47vvvkNUVBTatm0LFxcXnf2ffvpphYPJyMjAjRs3MGzYMLRt2xb29vbYvXu3VMTwypUriI2NlVZbDwsLw7x585CUlAQvLy8AwK5du+Dm5oagoKAKx0FEVUeadt60Kfyn/QEAuDg3wpwhlUrf9HMismwGJzvnz59HmzZtADz+RqYhCIK+l5To7bffxrPPPgs/Pz/Ex8dj9uzZkMvlGDJkCBQKBUaOHInJkyejdu3acHNzw7hx4xAWFoZOnToBAHr37o2goCAMGzYMixcvhkqlwowZMxAZGQlHR0dDb42IzEA72blTxrGWoLSWHSKyTAYnO3v37jXaxe/cuYMhQ4bgwYMH8PT0RJcuXXDkyBFpAOCSJUsgk8kwaNAg5OTkICIiAl9++aX0erlcjm3btmHMmDEICwuDi4sLhg8fjrlz5xotRiIyrUuXLgEAmjYNxN4UMwdTDmVVUSYiy1Phju/r16/jxo0b6Nq1K5ycnCCKosEtO+vXry91f40aNbB8+XIsX768xGP8/Pywfft2g65LRJbj4sWLAIDmQUHAIf3HWNIyDGzZIbI+Bg9QfvDgAXr27ImmTZvi6aeflmZRjBw5Em+99ZbRAyQi25WXlyd1hzdv3lxnn6Uuw6AZs3P37t0yl6axxFpBRNWRwcnOpEmTYG9vj9jYWDg7Py6c9eKLL2LHjh1GDY6IbNv169eRn58PV1dX1NOqd6VKy7bYZRiUSiXs7e2hVquRkJBgMbPEiKhkBic7f/31FxYtWiRVEtVo0qQJbt++bbTAiMj2abqwgoKCdLrBbz8oeRkGc5PJZNLnH7uyiKyDwclOZmamTouORnJyMmdAEZFBNMu6FC0V4exgZ9HLMHD6OZF1MTjZefLJJ/H9999L24IgQK1WY/HixejevbtRgyMi26bdsqM9RmfIN0fQv5WvtG1pyzBwRhaRdTG4g3nx4sXo2bMnTpw4gdzcXLzzzju4cOECkpOTcehQCVMpiIj00CQ7Po2CMKvIGJ0tZ+Kl7ajJ3SxmNhbAGVlE1sbglp2WLVvi6tWr6NKlCwYMGIDMzEwMHDgQp06dQqNGjUwRIxHZoPz8fKmgoIu3f7ExOtrblrYMQ0nJDmdfEVmmCk0dUCgUeO+994wdCxFVIzdv3kRubi6cnZ3RIcgfsm23dBIcmYBiCZClqMiYHUuqFURU3RjcsgMAKSkp+PjjjzFy5EiMHDkSn3zyCZKTk40dGxHZMM3g5ObNm6NuLRfM6d9C2icToLNtaco7ZsdSawURVTcGJzsHDhyAv78/li1bhpSUFKSkpGDZsmUICAjAgQMHTBEjEdkg7cHJADCo7eNyFlGTu+lsWxpNspOcnIyMjAy9x1hyrSCi6sbgZCcyMhIvvvgiYmJisGnTJmzatAk3b97ESy+9hMjISFPESEQ2SJPstGhRvAXH0sboFOXm5gY3NzcAJbfuWHKtIKLqxuBk5/r163jrrbcgl8ul5+RyOSZPnozr168bNTgisl3a3VjWqKyuLD8PF4uuFURUnRic7LRp00ZapVjbpUuX0KpVK6MERUS2LS8vT2rZCQkJMXM0FVOe6edFxyFZUq0gourE4NlY48ePx4QJE3D9+nV06tQJAHDkyBEsX74cCxcuxNmzZ6VjrfVDjIhM6/Lly8jLy4Obmxv8/Pz0HqNZc8pS6Ut2ig5I1k52LK1WEFF1YnCyM2TIEADAO++8o3efIAgQRRGCIKCgoKDyERKRzTlz5gyAwi9E2mtiWZOi088T0h4VG5CsvW3p45CIbJnByU5MTIwp4iCiakST7Fhz13fRMTsx94sPSLbUOkFE1Y3ByU5JTc5EROWlL9mx9G6roop2YwXUcSlWCNGSCyMSVScVKipIRFQZttCyo+nGiouLgyiK8FE4WVVhRKLqhMkOEVUplUqFpKQkCIKgt8aOtahbty4EQUBOTg7u3bsHwLoKIxJVJ0x2iKhKaVp1mjRpAhcXFzNHU3EODg7w8fEBoH/6OQckE1mOCi0ESkRUUZryFNbchaXRoEEDxMfHIzY2Fu3atSu239rGIRHZKoNbduLi4nDnzuNaEseOHcPEiRPx9ddfGzUwIqqYK1euYNy4cWjfvj26dOmCGTNm4O7du+YOS2IL43U0KrL6ORFVPYOTnZdffhl79+4FUNj33qtXLxw7dgzvvfce5s6da/QAiaj8Pv/8c4SEhOCLL77AiRMncOjQIcybNw9BQUH46aefzB0eAN0aO9auvKufE5F5GZzsnD9/Hh06dAAA/PLLL2jZsiUOHz6MtWvXYvXq1caOj4jK6aOPPsL48eORm5uLPn364JdffsHq1avRoUMHpKen4+WXX8aXX35p1hhzcnJw+fJlAIUtO1m5+fCf9gf8p/2BrNx8s8ZWEeVZMoKIzM/gZCcvLw+Ojo4AgKioKPTv3x8AEBgYiISEBONGR0TlsmvXLkydOhUAMGfOHGzfvh2DBw/G8OHDcejQIUyaNAkAEBkZiS1btpgtzjNnziA/Px8eHh5SF5A1YzcWkXUwONlp0aIFvvrqK/z999/YtWsX+vTpAwCIj4+Hh4eH0QMkotKlpqZi2LBhEEURo0ePxqxZs3SWYLCzs8Mnn3yCMWPGAABeeeUV3Lx50yyxHjt2DADQoUMHq10mQlvRbizNgORbC/vB2YHzP4gshcHJzqJFi/C///0PTz31FIYMGSINMtyyZYvUvUVEVWf27NlITExEYGAgli5dqvcYQRDw2WefoXPnznj48CFGjBgBtVpdtYFCN9mxBZpkJyEhATk5OWaOhohKYvBXj6eeegr3799Heno6atWqJT0/evRoq66ZQWSNrl69iuXLlwMoHJzs5ORU4rH29vb4/vvvERISgv3792PVqlUYOXJkVYUKwPaSnTp16qBGjRrIzs7G3bt30bBhQ3OHRER6GNyy06NHDzx8+FAn0QGA2rVr48UXXzRaYERUtnnz5qGgoADPPPMMwsPDyzy+YcOG0qzJGTNmICMjw9QhSlJTU3HlyhUAQPv27avsuqYkCILOshFEZJkMTnb27duH3NzcYs9nZ2fj77//NkpQRFS2mJgYrF27FgAwa9ascr9u7NixaNSoEVQqFT766CNThVfMiRMnAAABAQHw9PSssuuaGmdkEVm+cndjaaqeAsDFixehUqmk7YKCAuzYsQN169Y1bnREVKLly5ejoKAAvXr1MqilxMHBAQsXLsTgwYPx0UcfYfTo0VXy3i2rC0uVlo2Gnq4mj8PYmOwQWb5yJzutW7eGIAgQBAE9evQott/JyQmff/65UYMjIv2ysrKwcuVKAMCECRMMfv2gQYPQuXNnHDp0CHPmzKmSCuj6kp2NJx9XYw//dD8WDAzGi+0bmDwWY+L0cyLLV+5urJiYGNy4cQOiKOLYsWOIiYmRHnfv3kV6ejpGjBhhyliJ6F8///wzUlNTERAQIJV/MIQgCFi0aBEAYPXq1SYfbyKKIo4ePQrgcbKTkPYIs7dckI5Ri8C7m84jIe2RSWMxNlZRJrJ85W7Z8fPzAwCzTFclIl1r1qwBAIwaNQpyubxC5+jcuTO6deuG/fv34+OPP8Znn31mzBB13LlzByqVCnK5HG3atAEAxNzPhFrUPa5AFHHrfhZ8FCXPKrM07MYisnwVqnp17do17N27F0lJScWSH0MGShKR4WJiYrB//34IgoBXXnmlUueaMWMG9u/fj2+++QbvvfcevLy8jBSlLk2rTsuWLeHs7AwACKjjApkAnYRHLgjwr+NskhhMhckOkeUzONn55ptvMGbMGNSpUwdKpVKnCqogCEx2iExMMwOrR48elV5yoWfPnujQoQOOHTuGJUuWYMGCBcYIsRjNTM3OnTtLz/konDCnfwvM/L2wK0smAPMHtrSqVh3g8Zidhw8fIi0tDQqFosRjs3LzETRrJwDg4twIVlkmqiIGTz3/8MMPMW/ePKhUKpw+fRqnTp2SHv/880+FA1m4cCEEQcDEiROl57KzsxEZGQkPDw+4urpi0KBBSExM1HldbGws+vXrB2dnZ3h5eWHKlCnIz7e+BQWJymvjxo0AgJdffrnS5xIEAe+99x6AwtldaWlplT6nPgcOHAAAdOrcRWfhz0Ft60nHRE3uZnWDkwHA2dlZWiqHrTtElsngZCclJQWDBw82ahDHjx/H//73P4SEhOg8P2nSJGzduhUbNmzA/v37ER8fj4EDB0r7CwoK0K9fP+Tm5uLw4cNYs2YNVq9ezdYlslm3bt3C6dOnIZPJ8Oyzz+rsq+gK4s888wxatGiBhw8fmmRWVkpKCs6cOQMA6NzlyRKPUypqGP3aVYVdWUSWzeBkZ/Dgwfjrr7+MFkBGRgaGDh2Kb775Rqcqc1paGlauXIlPP/0UPXr0QNu2bbFq1SocPnwYR44cAQD89ddfuHjxIn788Ue0bt0affv2xQcffIDly5frLXyokZOTg/T0dJ0HkTXYvHkzAODJJ580WmE+mUyGt99+GwCwdOlSo6/xdOjQIYiiiKZNm0KpVBr13JaC08+JLJvByU7jxo0xc+ZMvPbaa/jkk0+wbNkynYehIiMj0a9fv2Kl7k+ePIm8vDyd5wMDA9GgQQNER0cDAKKjoxEcHAxvb2/pmIiICKSnp+PChQsoyYIFC6BQKKRHZcc9EFWV3377DQDw/PPPG/W8L7/8Mnx9fREfH49169YZ9dx79+4FAHTt2tWo57UknH5OZNkMHh339ddfw9XVFfv378f+/ft19gmCgPHjx5f7XOvXr8c///yD48ePF9unUqng4OAAd3d3nee9vb2l6s0qlUon0dHs1+wryfTp0zF58mRpOz09nQkPWbx79+7h4MGDAIABAwYY9dwODg6YNGkSpkyZgo8++gjDhw+HTGbwdyG9NC3BvXr1Msr5LBG7sYgsm8HJTkxMjFEuHBcXhwkTJmDXrl2oUaNq++odHR3h6OhYpdckqqytW7dCrVYjNDQU/v7+Rj//6NGj8cEHH+DSpUv4448/io0Jqoj4+HicP38egiCgZ8+eRojSMlUk2bHW5TGIrJFxvrpVwMmTJ5GUlIQ2bdrAzs4OdnZ22L9/P5YtWwY7Ozt4e3sjNzcXqampOq9LTEyU+v2VSmWx2VmabVsdG0DVl2a8jrG7sDTc3NwwZswYAMDixYuNcs6oqCgAQLt27aQZSxqqtGw4O9jh1sJ+uLWwn1VPwy7vyudFl8f4+ThbgoiqgsGfLmUtCfHdd9+V6zw9e/bEuXPndJ57/fXXERgYiKlTp6J+/fqwt7fH7t27MWjQIADAlStXEBsbi7CwMABAWFgY5s2bh6SkJKkY2q5du+Dm5oagoCBDb43IYuXm5mLPnj0AUK4Wl4q2GowfPx5LlizBwYMHcfjwYTzxxBMGn0Pb9u3bATzuwrKFtbD00bTs3LlzBwUFBXqrWpe0PEbXpp5WV1uIyNpUaOq59iMpKQl79uzBpk2birXClKZmzZpo2bKlzsPFxQUeHh5o2bIlFAoFRo4cicmTJ2Pv3r04efIkXn/9dYSFhaFTp04AgN69eyMoKAjDhg3DmTNnsHPnTsyYMQORkZHspiKbEh0djczMTHh5eRUr0aBhjFYDX19fDBs2DADw0UcfVSzYf+Xm5uLPP/8EUJig2cpaWPr4+PhALpcjPz+/xPGCpS2PQUSmZXDLjmY2iDa1Wo0xY8agUaNGRglKY8mSJZDJZBg0aBBycnIQERGBL7/8Utovl8uxbds2jBkzBmFhYXBxccHw4cMxd+5co8ZBZG67du0CAISHh+sdOGzMVoO3334bK1euxO+//47Lly8jMDCwQjHv27cP6enpUCqV6NChA47EJNvEWlj6yOVy1K1bF7GxsYiLi0PdunWLHWMry2MQWSOjjNmRyWSYPHkylixZUqnz7Nu3D0uXLpW2a9SogeXLlyM5ORmZmZnYtGlTsbE4fn5+2L59O7KysnDv3j18/PHHsLOz3r5/In20kx19jNlqEBgYiP79+0MURXzyyScGv15DM8aof//+kMlk0h97bbb0x76sQcqa5TE0ZALwfv8ghC3YY3AhSCIyjNEGKN+4cYPLNBCZQEpKCk6cOAGg5Onbxk4k3nnnHQDA999/X2oZh5Lk5eXh119/BfB4QLW+P/bWuBZWScozI6vo8hja20RkOgY3gWjXpwEAURSRkJCAP/74A8OHDzdaYERUaO/evVCr1QgMDES9evr/OBp7Uc3OnTvjiSeewOHDh/HRRx8Z3MKzc+dO3Lt3D97e3jqtUYPa1pNijJrczaamXhs6/dyal8cgsjYGt+xoL/x56tQpnD17FgDwySef6HRBEZFxaLqwyirKp91KsHVcZ0zdeE7qHqnIulkzZswAAHzxxRe4deuWQTH/8MMPAIAhQ4aU2K1sa3/syzv9nIiqnsEtO5rS70RUNcqb7Gjzdqt8ItGnTx/06NEDe/bswcyZM6UEpiwJCQnSRIZXX3210nFYC1ZRJrJcFR6zoyldf/DgQdy7d8+YMRHRv2JjY3Hjxg3I5XJ069atSq8tCIJUXPDHH3/EqVOn9B5XtNVoxYoVyMvLwxNPPIHQ0NCqDNmsmOwQWS6Dk53MzEyMGDECPj4+6Nq1K7p27QpfX1+MHDkSWVmsF0FkTH///TcAoE2bNnBzc6vy67dt2xZDhgwBAEyaNAmiKJZ6/MOHD7FixQoAwMSJE00dnkXRdGPdv38fjx4ZXjtIlZZt7JCI6F8GJzuTJ0/G/v37sXXrVqSmpiI1NRW///479u/fj7feessUMRJVC/rG1WiSnSeffLJC426MYf78+XBycsL+/fvx9ddfl3rssqVLcP/+fTRu3Nhky1pYKnd3d7i6Fg64Lu+4HS4fQVQ1DE52Nm7ciJUrV6Jv375wc3ODm5sbnn76aXzzzTfSVFMiMg7tZMdc/P39MX/+fACFX3bOnz+v97i8VBU+W/IpgMIEyc7OrliCZitrYekjCEKZXVna95/2KM9mK0oTWRqDk52srCx4e3sXe97Ly4vdWERGdP/+fVy8eBEA0KVLlzKPLymRKNo9UpHuknHjxiE8PBxZWVkYMGAA7ty5o7NfzM/F/S0fITMzE08++ST+85//GHwNW2DIuB0uH0FUdQxOdsLCwjB79mxkZz/+wHz06BHmzJkjLdBJRJV38OBBAEBQUBDq1Klj0GuLdo+8u+mczrah3SVyuRw//fQTAgICcPPmTTz55JM4cOBAYZ2t+Hgk/ToHuQlX4O7ujh9//BGCIJR9UhtkyPRzW68oTWRJDE52PvvsMxw6dAj16tVDz5490bNnT9SvXx+HDx/GZ599ZooYiaqlsrqwShrDo2+drM2n43W2K9JdUqdOHezduxcNGzbCrVu30K1bN3h5eyOwSSPkJd9BjYbt8OX3G6TWjerIkJYdW68oTWRJDO40b9myJa5du4a1a9fi8uXLAAoLhw0dOhROTnyTEhlLRcfr6OseKaqiC3D6+fnh7+gjaNZ7GDLOR+H+vXtwDemF2hHjIMhkeO9wDmTKWLzYvnomPIZOP7flitJElqRCIwSdnZ0xatQoY8dCRP+6kfAA//zzDwCga9euxfar0rJLrECsb3XtoirTXeLu7g6PPmNRq8dIfN7PBxOjUqGZkV6Z1dZtQWWqKNtaRWkiS2JwN9aCBQvw3XffFXv+u+++w6JFi4wSFFF1pD3Opv+KE3Bq0QN+fn7SH9Ci43C0t7Xp6x55rrWvzrYxVtuWOTjBrW5jFC29U9Ig2+pQR0a7ZaesmkREVHUMTnb+97//ITAwsNjzLVq0wFdffWWUoIiqm6LjbEQAtSPGol3XcL371SJ0tosqurr2/IHBOttFV9uuaA0fP4/SB9lWtzoymoVaHz16hAcPHpg5GiLSMDjZUalU8PHxKfa8p6cnEhISjBIUUXWjb5yNIJOjYUinEveXNS5Ho2j3iDG7S5SKGiUOstWXoNl6HRlHR0colUoAXBCUyJIYnOzUr18fhw4dKvb8oUOH4Ovrq+cVRFQWfdOQRXUBenYILnG/9ra5uohUadnFWpE0g5Orax0ZTbcj18gishwGJzujRo3CxIkTsWrVKty+fRu3b9/Gd999h0mTJnHQMlEFFR1nI6oLkL7nf+jeKVTvfpkA9G/1+MtFVXYRlTZ2SLvVqLrWkTFkRpYtV5QmsiQGJztTpkzByJEj8X//939o2LAhGjZsiHHjxmH8+PGYPn26KWIkqhY0LSSPYk7i7lcj0KJGGhwcHIrtB4CfRnXCljOVr50DlN0qpD2e5+a9jHKPHaqudWS4+jmR5TE42REEAYsWLcK9e/dw5MgRnDlzBsnJyZg1a5Yp4iOqdrKuHkHBwwdo16FjiYOGs3LzK9VFVFrrTGnJz+0Hho0dKqmLy5ZVZvo5EZlGhdtNXV1d0b59e2PGQkQAcuKvAAA6dOyIzaf0H6OZBaWdaGh3EWm6R7RptvUNHJ71++Pt8E/3Y8HAYL2Jib7rllXTR6O61JFhyw6R5TG4ZYeITEedm428e7cAAB06dCzxuNJmQZVF38Bh7c3SusT0XVd7m5jsEFkiJjtEZlS0vk2u6iogqlG3Xj341q1b6msr2kWkb+BwUaV1iRW97rAwfw6y1aJJdhISEpCXl2fmaIgIYLJDZDGcHewwMaQwC3kiLMyg1xrSRVR04LDw70NbeWdNVZeuKUN4enrCwcEBarUa8fHxZb+AiEyuXMlOmzZtkJKSAgCYO3cusrJsu04GkbkcO3YMANChQwed51Vp2UadpqzdOrP7rW6YO6B8XWLVYcmHypLJZKy1Q2RhypXsXLp0CZmZmQCAOXPmICMjw6RBEVVXJ06cAAC0b9++ypZaUCpqlNolVt41ufSprnVkOG6HyLKU69OndevWeP3119GlSxeIooiPP/4Yrq6ueo/lFHSiiklMTERcXBwEQYBPoyC8vvyYtK8qVxN3c7KD/7Q/AAB73upm0JpcVIjTz4ksS7mSndWrV2P27NnYtm0bBEHAn3/+CTu74i8VBIHJDlEFnfrnHwBAs2bNcD9HKLGOjibZ0Te93NhKqqvz06hOCGvkYdJrWzNNy87t27fNHAkRAeVMdpo1a4b169cDKOyP3r17N7y8vEwaGFF1c/DkWQCFXViaGVMl1dGpKmXV8yH9/Pz8ADDZIbIUBs/GUqvVTHSIjER7/MumnBC4hvRCu3btLGaphcrU86nOAgICAAAxMTFmjoSIgApWUL5x4waWLl2KS5cuAQCCgoIwYcIENGrUyKjBEdmyopWMIchQO2IsAlrUBlA4Y2rmv5WNoyZ3Q0NP/ePkKqJoF1jR5Si0mTIOW6VJdm7dugVRFCEIZRQ2IiKTMrhlZ+fOnQgKCsKxY8cQEhKCkJAQHD16FC1atMCuXbtMESORTdJXyViQyVHTJ6DYsaauZ1PSrKmiU81ZV6d86tevD5lMhuzsbKhUKnOHQ1TtGdyyM23aNEyaNAkLFy4s9vzUqVPRq1cvowVHZMv0jcuBWo1mdWubLSag+FRzLgdhOHt7e9SvXx+3b99GTEwMfHx8zB0SUbVmcMvOpUuXMHLkyGLPjxgxAhcvXjRKUETVQdFxOaK6AIEZp8w6HkbfIqGcal4xHLdDZDkMTnY8PT1x+vTpYs+fPn2aA5eJDKQp5pe8dxXufjUC/VvWMWs8+rrWyrOiuUbRtb6qM02yc/PmTTNHQkQGJzujRo3C6NGjsWjRIvz999/4+++/sXDhQrzxxhsYNWqUQedasWIFQkJC4ObmBjc3N4SFheHPP/+U9mdnZyMyMhIeHh5wdXXFoEGDkJiYqHOO2NhY9OvXD87OzvDy8sKUKVOQn1+9P2TJuoiiiMxzu1Dw8AHatWtn1lj0LRIqFwRET+9R7aogVxZbdogsh8GfXDNnzkTNmjXxySefYPr06QAAX19fvP/++xg/frxB56pXrx4WLlyIJk2aQBRFrFmzBgMGDMCpU6fQokULTJo0CX/88Qc2bNgAhUKBsWPHYuDAgTh06BAAoKCgAP369YNSqcThw4eRkJCAV199Ffb29pg/f76ht0ZkFgXp96B+lA47OzuEhIRIz1dF0cCiNF1rmtlXnGpecUx2iCyIWAnp6elienp6ZU5RTK1atcRvv/1WTE1NFe3t7cUNGzZI+y5duiQCEKOjo0VRFMXt27eLMplMVKlU0jErVqwQ3dzcxJycnHJfMy0tTQQgpqWlGe9GiMohMydPrPPcdBGA2Kp1a3OHI4piYUx+U7eJflO3iTeSHlb4tZk5eSaK0DocPHhQBCD6+fmV+zX89yMyTHn/fhvcjaWtZs2aqFmzphFSrsJWmvXr1yMzMxNhYWE4efIk8vLyEB4eLh0TGBiIBg0aIDo6GgAQHR2N4OBgeHt7S8dEREQgPT0dFy6UPKgyJycH6enpOg+iqqBvTEuu6hoAoG1b83Zh6cOp5hWnadmJi4tDXl6emaMhqt4qlewYw7lz5+Dq6gpHR0e8+eab+O233xAUFASVSgUHBwe4u7vrHO/t7S3VrVCpVDqJjma/Zl9JFixYAIVCIT00i/YRVTVnBzt0cE0FAHTq2MG8wRhZ0Ro91Y1SqYSjoyPUajUXBCUyM7MnO82aNcPp06dx9OhRjBkzBsOHDzf5FPbp06cjLS1NevCDiEylrNlJoijixIkTAGD2wcnGULRGz8/HY80YjXnJZDL4+/sD4LgdInMze7Lj4OCAxo0bo23btliwYAFatWqFzz77DEqlErm5uUhNTdU5PjExEUqlEkDhN6eis7M025pj9HF0dJRmgGkeROZw8+ZNpKamwtHRES1aWHfxPn01et7ddB4JaY/MGJV5cZAykWUwKNnJy8tDz549ce3aNVPFA7VajZycHLRt2xb29vbYvXu3tO/KlSuIjY1FWFgYACAsLAznzp1DUlKSdMyuXbvg5uaGoKAgk8VIZAyqtGypVadVq1ZwcHAwc0SFSlo6oiz6avQUiCJu3c8ycoTWo2HDhgAqluxU925AImMyaOq5vb09zp49a7SLT58+HX379kWDBg3w8OFDrFu3Dvv27cPOnTuhUCgwcuRITJ48GbVr14abmxvGjRuHsLAwdOrUCQDQu3dvBAUFYdiwYVi8eDFUKhVmzJiByMhIODo6Gi1OImMp2s3TpqBw2xa6sPQtfyEXBPjXcTZfUGZmaMtO0f8fCwYG48X2DUwSG1F1YnA31iuvvIKVK1ca5eJJSUl49dVX0axZM/Ts2RPHjx/Hzp07pfW1lixZgmeeeQaDBg1C165doVQqsWnTJun1crkc27Ztg1wuR1hYGF555RW8+uqrmDt3rlHiIzImVVp2sW6eE0JTyGt62ESyU3T5C9boMayKMrsBiUzH4KKC+fn5+O677xAVFYW2bdvCxcVFZ/+nn35a7nOVlTTVqFEDy5cvx/Lly0s8xs/PD9u3by/3NYnM5VRsSvGlFwQZ7Nx9bSLZAQqXv9AUJIya3A0NPV3NHJF5GdKyU1o3YHVOGImMweBk5/z582jTpg0A4OrVqzr7BEHQ9xKiaku7W+LtDWchAND+eyaqC2CXnYzmzZtXeWymxho9j5OdpKQkZGZmFvtyqHMsuwGJTMbgZGfv3r2miIPI5hTtlhABaH8dECDiwc4v0KqJH+zsuOaULapVqxYUCgXS0tJw69atUmfccakOItOp8NTz69evY+fOnXj0qLA/WRQNWBqZqBrQ1y2hvdk9az8yzu6ymS4s0s+QrqxBbetJP0dN7sbByURGYnCy8+DBA/Ts2RNNmzbF008/jYSEBADAyJEj8dZbbxk9QCJrpW8Fce3tyycPAwDat29fhVFRVatorR12AxIZj8HJzqRJk2Bvb4/Y2Fg4Oz/uS37xxRexY8cOowZHZM30zU7SbIvqApw5fRqAbUw716hojR5bxsKCROZncLLz119/YdGiRahXr57O802aNMHt27eNFhiRLSjaLaHZznsQh6ysLLi6uqJp06bmCo+qQEWTnbKWGiGi8jM42cnMzNRp0dFITk5mIT+iUmh3S+SqrgMA2rZtC5nM7Ku2kAmxZYfI/Az+lH3yySfx/fffS9uCIECtVmPx4sXo3r27UYMjsjWabp6XAvIA2FYXFumnneyUNZGD3YBEpmHwu2nx4sXo2bMnTpw4gdzcXLzzzju4cOECkpOTcejQIVPESGRzbGmlcyqdJtlJT0/HgwcPUKdOHTNHRFT9GNyy07JlS1y9ehVdunTBgAEDkJmZiYEDB+LUqVNo1KiRKWIksil5eXk4bYODk0k/Jycn1K1bF0BhyQ4iqnoVaidVKBR47733jB0Lkc3RdEtou3DhAnJycqBQKPgFoZpo3Lgx7t69i+vXr0sLGRtClZZd7ZfeIKqMCiU7KSkpWLlyJS5dugQACAoKwuuvv47atWsbNTgiW3T8+HEAha06XGKlemjSpAn2799vUMsOV0AnMh6Du7EOHDgAf39/LFu2DCkpKUhJScGyZcsQEBCAAwcOmCJGIpuiGa/DYoLVR+PGjQGUvxuLK6ATGZfBLTuRkZF48cUXsWLFCsjlcgBAQUEB/u///g+RkZE4d+6c0YMksiXaLTtUPWiSnWvXrpXreK6ATmRcBrfsXL9+HW+99ZaU6ACAXC7H5MmTOfiOqAzZ2dnSFwK27FQfhrbs6FtqhCugE1WcwclOmzZtpLE62i5duoRWrVoZJSgiW3XmzBnk5+fD09MT9evXN3c4VEU0yU5ycjKSk5PLPF7fUiNcAZ2o4srVjXX27Fnp5/Hjx2PChAk6swqOHDmC5cuXY+HChaaJkshGaI/X4eDk6sPFxQU+Pj5ISEjAjRs3yjWZY1Dbepj5e+G4najJ3Tgbi6gSypXstG7dGoIg6FT/fOedd4od9/LLL+PFF180XnRENobjdaqvxo0bIyEhAdeuXTO4C1OpqIGs3HwEzdoJALg4N4IVlokMUK53C9d0ITIOTbLD8TrVT+PGjfH3339zbCORGZQr2fHz8zN1HEQ2LyMjQxrvxpad6qdJkyYAWEWZyBwq1A4aHx+PgwcPIikpCWq1Wmff+PHjjRIYka35559/IIoi6tWrB6VSae5wqIoZOiOraPXtrNx8k8RFVB0YnOysXr0ab7zxBhwcHODh4aEzyFIQBCY7RCXg4p/Vm6G1dkrD5SOIDGPw1POZM2di1qxZSEtLw61btxATEyM9bt68aYoYiWwCx+tUb5pk5/79+0hNTTX49UWXj/j5eKyxQiOyeQYnO1lZWXjppZcgkxn8UqJqjclO9VazZk14e3sDAG7cuGHQa7l8BFHlGJyxjBw5Ehs2bDBFLEQ2KyUlRfoD17ZtWzNHQ+aiad25cuWKQa8rbfkIIiqbwWN2FixYgGeeeQY7duxAcHAw7O3tdfZ/+umnRguOyFZoxus0atSoXAXlyDYFBgbi0KFDBic7muUjtBMeLh9BVH4VSnZ27tyJZs2aAUCxAcpEVBwHJxNQmOwAhrfsaJaP0FRU5vIRRIYxONn55JNP8N133+G1114zQThE1q2kKrccr0PA42Tn8uXLBr+Wy0cQVZzBY3YcHR3RuXNnU8RCZLPYskMApBbxq1evFqtRZgilooaxQiKqFgxOdiZMmIDPP//cFLEQ2aTExETExcVBEAS0adPG3OGQGQUEBMDe3h6PHj1CXFycucMhqjYM7sY6duwY9uzZg23btqFFixbFBihv2rTJaMER2QJNF1ZgYCBq1qxp5mjInOzs7NCkSRNcvHgRly9f5lI8RFXE4GTH3d0dAwcONEUsRDZFU+VW04XF8ToEFCa9mmQnIiKi3K8runwEEZWfwcnOqlWrTBEHkU0oWuV2wcBgqWWH43UIeDxux9AZWURUcRVaCJSIitNf5fYcMi4ULvzIlh0CKjcji4gqxuBkJyAgoNR6Olwfi6or/VVugTS1IxwcHBAaGmqewMiiGCvZKanMAREVZ/C7Y+LEiTrbeXl5OHXqFHbs2IEpU6YYKy4iq6Ovyq0AEfmp8WgXGgpHR0fzBUcWQ9ONlZCQgPT0dLi5uZk5IiLbV6Gp59qPt99+G2vXrsXcuXMN7oNesGAB2rdvj5o1a8LLywvPPfdcsXNkZ2cjMjISHh4ecHV1xaBBg5CYmKhzTGxsLPr16wdnZ2d4eXlhypQpyM/PN/TWiCpFU+VWQyYAwdnnUfDwAcLCwswYGVkShUIBpVIJgON2iKqK0ZYu79u3LzZu3GjQa/bv34/IyEgcOXIEu3btQl5eHnr37o3MzEzpmEmTJmHr1q3YsGED9u/fj/j4eJ3ZYAUFBejXrx9yc3Nx+PBhrFmzBqtXr8asWbOMdWtEpcrKzYf/tD/gP+0P9A1WSs9HTe6Gu38XLprLZIe0cdwOUdUyWifvr7/+avAChzt27NDZXr16Nby8vHDy5El07doVaWlpWLlyJdatW4cePXoAKJwN1rx5cxw5cgSdOnXCX3/9hYsXLyIqKgre3t5o3bo1PvjgA0ydOhXvv/8+HBwcjHWLRAapaVeAM2fOAAA6depk5mjIkgQGBmLfvn1GS3Y0ZQ6ISD+Dk53Q0FCdAcqiKEKlUuHevXv48ssvKxVMWloaAEhJ08mTJ5GXl4fw8HDpmMDAQDRo0ADR0dHo1KkToqOjERwcDG9vb+mYiIgIjBkzBhcuXNA7KDQnJwc5OTnSdnp6eqXiJtLn1D//oKCgAL6+vqhfv765wyELEhQUBAC4cOFCGUeWTF+ZgxfbN6h0bES2yOBk57nnntPZlslk8PT0xFNPPSU1zVaEWq3GxIkT0blzZ7Rs2RIAoFKp4ODgAHd3d51jvb29oVKppGO0Ex3Nfs0+fRYsWIA5c+ZUOFaikqQ/ypcKvy1atAhAYRdWaTMYqfrRfMadP3++Qq/XX+bgPLo29eRK6ER6GJzszJ492xRxIDIyEufPn8fBgwdNcn5t06dPx+TJk6Xt9PR0fvOmCivpG3Z0dDQAdmFRcZpk5+bNm8jMzISLi4tBr9df5kDErftZTHaI9DDaAOXKGDt2LLZt24a9e/eiXr160vNKpRK5ublITU3VOT4xMVGazaBUKovNztJsa44pytHREW5ubjoPoooo6Rt2fGoWjhw5AoCDk6k4T09PeHl5QRRFXLp0yeDXa8ocaJMLAvzrOBspQiLbUu5kRyaTQS6Xl/qwszOsoUgURYwdOxa//fYb9uzZg4CAAJ39bdu2hb29PXbv3i09d+XKFcTGxkp/QMLCwnDu3DkkJSVJx+zatQtubm5SvziRqZT0DfvohZtITEyEvb09VzonvSrTlaWvzMH8gS3ZqkNUgnJnJ7/99luJ+6Kjo7Fs2TKo1WqDLh4ZGYl169bh999/R82aNaUxNgqFAk5OTlAoFBg5ciQmT56M2rVrw83NDePGjUNYWJjUNdC7d28EBQVh2LBhWLx4MVQqFWbMmIHIyEgWcSOT01dIUC4IUF07BwBo3bo1nJz4B4iKa9myJfbs2VPhcTuD2tbDzN8LWxWjJnfjbCyiUpQ72RkwYECx565cuYJp06Zh69atGDp0KObOnWvQxVesWAEAeOqpp3SeX7VqFV577TUAwJIlSyCTyTBo0CDk5OQgIiJCZ9aXXC7Htm3bMGbMGISFhcHFxQXDhw83OBaiitB8w9b80dF8wz70w8cA2IVFJavsIGVtSkWNSp+DyJZVqM5OfHw8Zs+ejTVr1iAiIgKnT5+W3riGEEWxzGNq1KiB5cuXY/ny5SUe4+fnh+3btxt8fSJj0PcN++P/KxyczGSHSmLMZIeISmfQAOW0tDRMnToVjRs3xoULF7B7925s3bq1QokOkS1SKmrg0aNHOH36NADOxKKStWhROObm7t27SElJMXM0RLat3MnO4sWL0bBhQ2zbtg0//fQTDh8+jCeffNKUsRFZpRMnTiA/Px9KpRJ+fn7mDocslJubGxo0KCwCWJHigs4Odri1sB9uLezHFc+JylDud8i0adPg5OSExo0bY82aNVizZo3e4zZt2mS04IiskaZWVOfOnVlMkErVsmVLxMbG4vz58+jSpYu5wyGyWeVOdl599VV+cBPpofmGrXHgwAEAQNeuXc0VElmJli1bYvv27Ry3Q2Ri5U52Vq9ebcIwiKxHVm4+gmbtBABcnBuh04VQUFCAQ4cOAQC7ealMmvGO586dM3MkRLbNIiooE9mKM2fO4OHDh3Bzc0NISIi5wyELFxwcDKDw/015ZqcSUcUw2SEyIk0XVpcuXSCXy80cDVm6oKAgODg4IC0tDTExMeYOh8hmMdkhqgRVWrbO9t9//w2AXVhUPg4ODlJX1qlTp8wcDZHtYrJDZKCiq5z/fDwWQGGRTE2yw8HJVF6atdP++eefSp0nKzcf/tP+gP+0P5CVm2+M0IhsBpMdIgOUtMp5QtojXLlyBffu3UONGjXQrl07M0ZJ1iQ0NBQAW3aITImVqIgMUNIq57fuZ+Hcv+N1OnXqBAcHBzNER9bIWC07RFQytuwQGUCzyrk2uSDAv44z9u7dC4BdWGSYkJAQyGQyJCYmIiEhwSjnLDqWjKi6Y7JDZADNKucamlXOlW41sGfPHgBAz549zRUeWSFnZ2cEBgYCqFzrTkljyYiIyQ6RwQa1rSf9HDW5G15s3wDnz59HUlISnJ2dufgnGUzTlVXRcTuljSUjIiY7RJWiVNQAAOzevRtA4ZRzjtchQ2kGKVe0Zae0sWRExGSHyCg0yQ67sKgiKtuyo28sGQAM+eYIp6ETgckOkcE0C3/eWtgPzg52yM/Px/79+wEw2aGKad26NQDg1q1bePDggcGv1zeWjIgeY7JDVEnHjx/Hw4cPUbt2bemPFpEh3N3d0bRpUwDAsWPHKnQO7bFkW8d1NkpcRLaCyQ5RJWm6sLp37w6ZjG8pqhjNwPbo6OhKn8vbrYb0M6ehEzHZISpTWWX4OV6HjCEsLAwAcOTIkUqfa/OpeOnn8E/344foW1xKgqo1VlAmqoT09HQcPHgQANCrVy8zR0PWTNOyc/ToUajVaoNbCTVjyRLSHqHzwj3S82oROtPSiaojtuwQGaBol0BUVBTy8/PRtGlTNG7c2ExRkS1o2bIlXFxckJ6ejkuXLlX4PPqmoRfdJqpumOwQlaG0yrTbt28HADz99NNVHhfZFjs7O7Rv3x5A5bqy9E1D197mGB6qjpjsEJWitMq0oigy2SGjMsYgZX3T0Pu38pW2uZQEVUdMdohKUVpl2jNnziAhIQHOzs5c/JOMwliDlLWnof80qhO2nHk8YJlLSVB1xGSHqBSlrXKuadUJDw+Ho6OjGaIjW9OxY0cAwMWLF5GWlmaUc2bl5nMpCar2mOwQlaKkVc59FE7swiKj8/b2RkBAAERRxNGjRyt8Hu0q34E+biUm7ETVBZMdojLoW+X8/v370riKvn37mis0skFdunQBAGkJksoqLWEnqi6Y7BAZQLPK+e+//w61Wo3WrVujQYMGZo6KbEn37t0BAHv37jXaOfUl7ETVCZMdogrYtGkTAGDQoEFmjoRsjSbZOX78ODIyMox+fk3CTlSdCKIoVvtyU+np6VAoFEhLS4Obm5u5wyELl5aWBk9PT+Tl5eHixYto3ry5uUMiGxMQEIBbt27hzz//RJ8+fcwdDpHFKu/fb7bsEBlo27ZtyMvLQ2BgIBMdMglTdGURVWdMdoiKKGvhz40bNwJgFxaZjqmTnbL+jxPZGiY7RAbIzMzEjh07ADDZIdPRJDsnT540Wr0douqMyQ5RKYquI/THH3/g0aNH8Pf3R+vWrc0TFNm8evXqoXHjxlCr1fj7779Nei2ulUXVAZMdqpZKa8YvbeHPH374AQAwZMgQCEKRSm1ERqRp3dmzZ4/Rz13a/3EiW2TWZOfAgQN49tln4evrC0EQsHnzZp39oihi1qxZ8PHxgZOTE8LDw3Ht2jWdY5KTkzF06FC4ubnB3d0dI0eONMl0TbJt2slPSQt/JiUlSV1Yw4YNM1eoVE307t0bAKRK3cZS2uK2RLbKrMlOZmYmWrVqheXLl+vdv3jxYixbtgxfffUVjh49ChcXF0RERCA7+3Gz69ChQ3HhwgXs2rUL27Ztw4EDBzB69OiqugWyAUWb8UtaR2j9+vXIz89H+/btOQuLTK53796ws7PDlStXin3Jq4zSFrclslVmTXb69u2LDz/8EM8//3yxfaIoYunSpZgxYwYGDBiAkJAQfP/994iPj5dagC5duoQdO3bg22+/RceOHdGlSxd8/vnnWL9+PeLj44udUyMnJwfp6ek6D6peijbja28X7Z3SrCP0/fffA2CrDlUNNzc3dOvWDUDhWDFjKW1xWyJbZbFjdmJiYqBSqRAeHi49p1Ao0LFjR2lNoujoaLi7u6Ndu3bSMeHh4ZDJZKUuordgwQIoFArpUb9+fdPdCFkcfc34s35/vA2tb72adYRS7sbg5MmTsLOzw0svvVSF0VJ19swzzwAAtm7darRzcq0sqo4sNtlRqVQAClcB1ubt7S3tU6lU8PLy0tlvZ2eH2rVrS8foM336dKSlpUmPuLg4I0dPlkxfM75Yws+adYRWr14NoHCFc09PT1OHSATgcbJz4MABo05B51pZVN1YbLJjSo6OjnBzc9N5UPWhrxm/JEpFDTx69AjfffcdAGDEiBEmjIxIV+PGjdGsWTPk5+fjr7/+Msk1uFYWVQcWm+wolUoAQGJios7ziYmJ0j6lUomkpCSd/fn5+UhOTpaOISqqaDO+8O9Dm1wQED29B5wd7PDzzz/jwYMHaNCggfRNm6iqaP7Pbdu2zWjndHaww62F/XBrYT84O9ixojLZPItNdgICAqBUKrF7927pufT0dBw9ehRhYWEAgLCwMKSmpuLkyZPSMXv27IFarUbHjh2rPGayHtrN+Lvf6oa5A/SPYRBFEZ9//jkA4P/+7/8gl8urPFaq3rTH7eTm5po5GiLrZGfOi2dkZOD69evSdkxMDE6fPo3atWujQYMGmDhxIj788EM0adIEAQEBmDlzJnx9ffHcc88BAJo3b44+ffpg1KhR+Oqrr5CXl4exY8fipZdegq+vr5nuiixRVm4+gmbtBABcnBshfbPVUCpqYOa/g5SjJndDQ09XAMDRo0fxzz//wNHRESNHjqz6wKnae/LJJ+Ht7Y3ExET89ddfJm9dVKVlS///iWyFWVt2Tpw4gdDQUISGhgIAJk+ejNDQUMyaNQsA8M4772DcuHEYPXo02rdvj4yMDOzYsQM1ajzuY167di0CAwPRs2dPPP300+jSpQu+/vprs9wPWQd95fG1m/W1P+i/+OILAMBLL72EOnXqVFmMRBpyuVyaAbhu3TqTXIMVlcnWCaIoimUfZtvS09OhUCiQlpbGwco26ofoW1LLjUwAFgwMLnMGys2bN9G0aVMUFBTg+PHjOiUOiKrSsWPH0LFjRzg7OyMpKQkuLi5GO3dC2iN0XrhHZ4aiXBBwcFp3Tkcni1fev98WO2aHyFgqWh5/4cKFKCgoQEREBBMdMqv27dujUaNGyMrKwpYtW4x6blZUpuqAyQ7ZvIp8mMfGxkq1dWbOnGnC6IjKJggChgwZAgD46aefjHpuVlSm6oDJDtm8inyYL1q0CHl5eejRowc6d+5s4giJyvbyyy8DAP7880/cu3fPaOdlRWWqDpjskM0z9MP81q1b+PbbbwGwVYcsR/PmzdG+fXvk5+dj5cqVRj03KyqTrWOyQ9WCIR/mU6ZMQW5uLnr06CEtxEhkCSIjIwEAK1asQEFBgdHOW9JsRCJbwdlY4Gwsemzfvn3o3r07ZDIZTp8+jeDgYHOHRCTJzs5GvXr18ODBA2zevBkDBgwwd0hEZsXZWEQGKigowIQJEwAAb775JhMdsjg1atTAf//7XwDA8uXLzRwNkfVgskP0r88++wxnz56Fu7s75syZY+5wiPR68803IQgCdu3ahcuXL5s7HCKrwGSHbJKhCxteuHAB7777LoDCmVislkyWyt/fH/379wdQWAuKiMrGZIdsnr7lIbTl5uZi2LBhyMnJwdNPP41Ro0ZVUWREFfPee+8BAH744QdcvXrVqOfW/qJw816GUc9NZC5MdsgmGbLWz7vvvotTp07Bw8MD3377LQRBKPFYIkvQvn17PPvss1Cr1Zg7d65Rz811ssgWcTYWOBvLnPStRl5Zhqz1s2rVKowYMQIAsHHjRgwcOLDS1yeqCqdOnUKbNm0gCAIuXLiA5s2bV/qc+t47MgHStrHeo0TGwtlYNsjQcSjGem1VKau7qbzKuzzE33//jTfeeAMAMGvWLCY6ZFVCQ0Px/PPPQxRFTJ061Sjn1Pfe0d421nuUqKox2bFSlfnQsaQPLFM0mZdneYgjR47gmWeeQV5eHl544QXMnj270tclqmoffvgh7OzssHXrVmzevLnS59P33tHeZLcWWSsmO2ZmyGDAyiQGpuyHr+iAxoquRl7WdctaHuLgwYPo1asX0tPT0aVLF6xatQoyGd8KZH2CgoIwZcoUAMC4cePw8OHDSp2v6Hun6Og1fe9RDmgma8BPeDMrbxKiLzGYvulcuT5kKptUlKWiiVRFViMv7bra/xbDwvwRPb0HfhrVCYem9ZCWh1i3bh169+6NjIwMdO/eHTt27ICzM1d3Jus1Y8YMBAQE4M6dO5g1a1alz6e9tMrHg0NQdFBn0fdo0ffhD9G3mPyQxWGyY2KlfevRl4RM3XhOOlb7tYev3y+1L720JKOySUVpKpNIVWQ18tKuq6H5t/BROCGskQd8FE7IycnBxIkTMXToUDx69Ah9+/bFtm3b4OLiUvZNElkwZ2dnfPnllwCApUuX4o8//qjc+bTWyXqicZ1S36P63oezfn+8XfRLCJG5MNkxsdJaPfQlIdrHvrvpnLT99oazxZqUtZWWZFQmqQBKT9gqk0gZuhp5WdfVKPpvsXfvXrRq1QqfffYZgMIaJVu3bmWLDtmMPn36SIuEDhs2DLdu3TLKefW9R9/vH4SwBXtK/BKmvVneL2REpsZkx4TKavXQl4RoH7v5dLy0XfTvur6XlZRklPWBVZmxQoYmUkUTp5K6m8pS2r8dUPhv8dfhUxg4cCB69OiBK1euQKlUYsuWLfjwww8hl8vLdR0ia/HJJ5+gQ4cOSElJwX/+8x9kZmYa5bxF36PayvoSps3Y3edEhmCdHZiuzs6gMdNxUtGl2PO95BfR0DUfzs7OuJhTGzse1Cp3IbsvhoTCw9URzg4yPP/l4XLVktFISHuEW/ez4F/HGVEXEzHz3+ZmmQAsGBisN9EoT82aH6Jvletchh6rXYNnz1vdoFTU0Nk+dP2+dK5iRDXurHgdBQ8fQBAEjBkzBvPmzYO7u7v+44lswO3bt9GmTRskJyejV69e2LJlC2rUqGG08+v7PBDw+MuY5lOstD8qP43qhLBGHkaLiaq38v79ZnUoEzp7OApixBMQtGb6iOoCrPpyEQoePpCek9f0gINPIDwHTNU9VhR1kiBRXYDXnu0KJzEHzs7OcGzcBVktnit8jahG2oX9CBrwKwa0qAVvVzs4OTnB2dm52CNO5oRZB3Ol82oGO3ds4AY/L4XONUvrptIkO4Pa1pOSjqjJ3dDQ01Xvv0dJLV1dm3rCR+FULLk5dP2+dGz4p/vRv5Wvzvac/i0g5uciL1WFLvUdcTTTE4JMBlFdgOSdX0DMTMErr7yC6dOnIygoqJTfFJFt8PPzw7Zt29CrVy/s2rULL7zwAn799Vc4ODgY5fz6Pg+0N3eX8SXEkO5zImNiyw5M17KzZcsW/HntIbYnuUEQZBAgop14DYpHd/EgVw4h4z4KHt5HVlYWsrKykOweiKwWAyDI5BDVBXh0+QCcArtK28k7v0DG2V0615DX9ICduy8cfBqjVrfX//1jr0byzs+LHavh2CAYyiELij2vWjcduXfO6yRGNWr7ILvXu4Cg1eMpqpFycB1kDs4YEOQOT2cZatSogRo1akBu74CP9ydA7uyGd/s0Rv1aztK+GxlyzDtcvMvsswEBaFOvJjafv4+P992Vki3tb4z/Xhg6HXhqNRK+GYXc1ESdfwtfN3u89sIAvPrqq/D39y/7F0VkY/bu3Yunn34a2dnZ6Nq1KzZu3GiUxW3LW51c04p88nYyPv6rcO2uslpyiSqivH+/mezA9MtFGNJ9pH2sj8IJd1MycTU+BZ5OAmrK86XESPuhSsvG4ss1IWolAoIoolPmIWTl5kN4eA/5WklVhtoOGd2n6iQworoAd78aIbU4yWt6wK6WL/JT4uEU0Aa1I8ZKSVfmhb1wadFDb2LlGtILtSPG6d0nr+mBum+uKtbSdferwuUaiu4rD9W66aj5KAHt27dH9+7d0adPH7Rs2ZLrW1G1t2vXLgwaNAgPHz5EQEAANm7ciNDQ0Eqf15CuaKD4ZxqRMTHZMUBVrY1lyJpNhjh84z5e/uZoifv1fSAV/cD6cEAQ2tVzxbWEVJy8/QArj9+HIAgQALzcBGjonI349HyIedlYdcejWGLV89E+5OTk4G/3CEA70RDVqHVwCfLSkpCdnY3sum0h7zhUSpwe7vkaWeejYFc3CHUGf1D6jYqizrllAH55NRBtmzdkckOkx8WLF/Hss8/i5s2bsLOzw9SpUzFjxoxKj+OpigSmaLd2Sd3jVL0x2TFAVSU7JSUllR2wpy+JKqq0puaiLU6lvba0exAh6t33xZBQ1HZ1QEAdF/gonPR+UJY08FH4dxFCuSDguVBfbD4VjwJRhFwQMH9gSzaJE5XhwYMHeOONN7Bx40YAQEBAAGbOnIlhw4bBzs5yh23qa0Hq2tQTMfczpc+SqpKQ9sgs16WyMdkxgLW37AC6HwzFx7oUKimpKk+ypHltafcAoNSZGhWZqdW1qadOYsQmcaKK2bRpE8aOHYuEhAQAhUnPqFGjMHz4cPj6+pbxauMpT+JQ1qyvqhz/Y2i3HVUtJjsGqKpkBzDtG0eTCBg6Lb2sbrCir/35eCze3XRebwtL0aQL0E28DJkez2SGyLgyMzOxYsUKLF68GPfu3QMAyGQyhIWF4ZlnnsFTTz2F0NBQODo6muT65fn8S0h7hG1n4zHvj8ulnstYXxRLY8ovqNrXYKtRxTHZMUBVJjtA1fxBNySpKq1lp6TuotLuQbPvQWYOxq47VeycrLNBZF6ZmZnYsGEDVq5ciYMHD+rss7e3R+vWrdGmTRs0adIEjRs3RqNGjeDj44PatWtXeHycoTW7DFF0TE9Z433KOx7IGEMPiiYz2tvlrXdmDBVNqioydqoqEzgmOwao6mSnqhiSVBVNjqb2CURIPfdKJWRV8a2IiConNjYW27Ztw59//okjR47g/v37JR5rZ2cHLy8veHt7o3bt2qhZsyZcXV1Rs2ZN6eHq6gonJyc4OjrC0dERDg4OcHR0REymPT45lV/snHMi/OBZswZqOjlg+I/n9H7pkqGwhVh7l75uLc2Ynn9upxSb8q493qc8s2Jj7mfCxUGut5V80/+FITO3oMQ/5prXF42jfytfqTJ+RVu+S0qcim4DMEpSVd7WOHMkcACTHYPYarJjKFO0OLG/m8h6iKKIW7du4ejRo7hw4QKuXbuG69ev4+bNm0hJSanUufWXnlADgFSqQl/piYy/V0N9+x84+rWGQ+fhEGRyQK0unL1QZOanCEAQZMVmbkJUA/j3eM2fPK39AkQMc7+KWo4Czj9SICrN69/ZqCJCFLk4neogbXfykeFIgihV/RrTToG+zRSws7ODnZ0d/rqegU8OxJc6BrI02hM6gJITludD6+K3U3ehFotvaydS5U2q9LXGlPSFVTvZ045L37VkAJa9HIq2frVM8iWXyY4BmOyYFsfhEFm/3NxcJCUlITExEYmJiUhJSUFGRgYePnwoPTTb2dnZyMnJ0Xnk5uYiU9kK+a3+A/xbegKCUJic/Etf1fhi9b/cfSF3doPnc9ONen9Jvy0ABMCz/9RitcBUP7wFwd4JYt4jKId9qn+/gxPE3OL7DaGd/OkmaFo/SwcXTeiKbJfhafcE1LQXUKeGiNs5zvgjyQ0iChO6wQH5aFFbhrMpcmy8Wfy1RZcIKU8SYaovu0x2DMBkh4ioapQ1pk/2b7kJmQC83a0uIprURF5eHvLz85GXl4e8vDyo0nMwISq9XH9ky0VfMqHF89w6yB/cQJZrPaS3e734y0U1BKHk1qnHxxVN5tQARKnuWNHkz1SKtqgV3noJLW5FYy6ybQiZABya1sOoX3q5NhYREVkcH4WTNL5Ek9hoaLpIsnLVZbYEP1I8nhWqb0yPRknjfTQ1vGQAREFWYuIkFwRsWfetFLO+yRyaRKG0REcmAE+38MT2i/elZG5SNx+0VtZAXMojPMjMwyfRhnQVFlk+p9i29i6trjtRXZisaJbl0ROz9nOCputPEAB1QWE3YmlRaSVwRalF6KyrWJWY7BARUZXzUThhwcDgYmUsWtWvVa7Xv9i+gU4drgNX7+mc650+zaRJFkX3zR/YUnptSS1MwOPZqJo/zkVjlgFQ63mdJokrGkdptcIS0h5hyZGS650VL7JaV6fIqva28O8LxH+PnT8ouFz3WyJBwMx+zdHOv1axAdu6cQEfDAzGEwHuOHErGVM2X4J235FMgNkWgmU3FtiNRURkLsYc01eekhj6koyirTUyAJ+/HIo2JQyqLaumWXlbp4rSrmFWLGHRStBKSpy0twGU+36LtXSh5AHN+uqsFY1L3/2Yqup9tRuzs3z5cnz00UdQqVRo1aoVPv/8c3To0KFcr2WyQ0RUfVXmj7Kx/6CXJ2GprLISFn0tYaUtWF3e++FsrEr6+eef8eqrr+Krr75Cx44dsXTpUmzYsAFXrlyBl5dXma9nskNEVL1V5o+yNc44LStma7mnapXsdOzYEe3bt8cXX3wBAFCr1ahfvz7GjRuHadOmlfl6JjtERETWp7x/v00/x83EcnNzcfLkSYSHh0vPyWQyhIeHIzo6Wu9rcnJykJ6ervMgIiIi22T1yc79+/dRUFAAb29vnee9vb2hUqn0vmbBggVQKBTSo379+lURKhEREZmB1Sc7FTF9+nSkpaVJj7i4OHOHRERERCZi9XV26tSpA7lcjsTERJ3nExMToVQq9b5Gs0AdERER2T6rb9lxcHBA27ZtsXv3buk5tVqN3bt3IywszIyRERERkSWw+pYdAJg8eTKGDx+Odu3aoUOHDli6dCkyMzPx+uvF1zAhIiKi6sUmkp0XX3wR9+7dw6xZs6BSqdC6dWvs2LGj2KBlIiIiqn5sos5OZbHODhERkfWpNnV2iIiIiErDZIeIiIhsGpMdIiIismlMdoiIiMimMdkhIiIim2YTU88rSzMhjQuCEhERWQ/N3+2yJpYz2QHw8OFDAOCCoERERFbo4cOHUCgUJe5nnR0ULi8RHx+PmjVrQhAEo503PT0d9evXR1xcnM3W77H1e7T1+wNs/x5t/f4A279HW78/wPbv0VT3J4oiHj58CF9fX8hkJY/MYcsOAJlMhnr16pns/G5ubjb5n1ebrd+jrd8fYPv3aOv3B9j+Pdr6/QG2f4+muL/SWnQ0OECZiIiIbBqTHSIiIrJpTHZMyNHREbNnz4ajo6O5QzEZW79HW78/wPbv0dbvD7D9e7T1+wNs/x7NfX8coExEREQ2jS07REREZNOY7BAREZFNY7JDRERENo3JDhEREdk0JjtGtnDhQgiCgIkTJ0rPZWdnIzIyEh4eHnB1dcWgQYOQmJhoviArSd89PvXUUxAEQefx5ptvmi9IA73//vvF4g8MDJT2W/vvsKz7s/bfHwDcvXsXr7zyCjw8PODk5ITg4GCcOHFC2i+KImbNmgUfHx84OTkhPDwc165dM2PEhivrHl977bViv8c+ffqYMWLD+Pv7F4tfEARERkYCsP73YVn3Z+3vw4KCAsycORMBAQFwcnJCo0aN8MEHH+isW2Wu9yErKBvR8ePH8b///Q8hISE6z0+aNAl//PEHNmzYAIVCgbFjx2LgwIE4dOiQmSKtuJLuEQBGjRqFuXPnStvOzs5VGVqltWjRAlFRUdK2nd3jt4ct/A5Luz/Aun9/KSkp6Ny5M7p3744///wTnp6euHbtGmrVqiUds3jxYixbtgxr1qxBQEAAZs6ciYiICFy8eBE1atQwY/TlU557BIA+ffpg1apV0rY1TWU+fvw4CgoKpO3z58+jV69eGDx4MADrfx+WdX+Adb8PFy1ahBUrVmDNmjVo0aIFTpw4gddffx0KhQLjx48HYMb3oUhG8fDhQ7FJkybirl27xG7duokTJkwQRVEUU1NTRXt7e3HDhg3SsZcuXRIBiNHR0WaKtmJKukdRFIttW5vZs2eLrVq10rvPFn6Hpd2fKFr/72/q1Klily5dStyvVqtFpVIpfvTRR9JzqampoqOjo/jTTz9VRYiVVtY9iqIoDh8+XBwwYEDVBFQFJkyYIDZq1EhUq9U28T4sSvv+RNH634f9+vUTR4wYofPcwIEDxaFDh4qiaN73IbuxjCQyMhL9+vVDeHi4zvMnT55EXl6ezvOBgYFo0KABoqOjqzrMSinpHjXWrl2LOnXqoGXLlpg+fTqysrKqOMLKuXbtGnx9fdGwYUMMHToUsbGxAGznd1jS/WlY8+9vy5YtaNeuHQYPHgwvLy+Ehobim2++kfbHxMRApVLp/A4VCgU6duxoNb/Dsu5RY9++ffDy8kKzZs0wZswYPHjwwAzRVl5ubi5+/PFHjBgxAoIg2Mz7UKPo/WlY8/vwiSeewO7du3H16lUAwJkzZ3Dw4EH07dsXgHnfh+zGMoL169fjn3/+wfHjx4vtU6lUcHBwgLu7u87z3t7eUKlUVRRh5ZV2jwDw8ssvw8/PD76+vjh79iymTp2KK1euYNOmTVUcacV07NgRq1evRrNmzZCQkIA5c+bgySefxPnz523id1ja/dWsWdPqf383b97EihUrMHnyZLz77rs4fvw4xo8fDwcHBwwfPlz6PXl7e+u8zpp+h2XdI1DYhTVw4EAEBATgxo0bePfdd9G3b19ER0dDLpeb+Q4Ms3nzZqSmpuK1114DYDufpRpF7w+w/s/RadOmIT09HYGBgZDL5SgoKMC8efMwdOhQADDr+5DJTiXFxcVhwoQJ2LVrl1X0+1dEee5x9OjR0s/BwcHw8fFBz549cePGDTRq1KiqQq0wzTcPAAgJCUHHjh3h5+eHX375BU5OTmaMzDhKu7+RI0da/e9PrVajXbt2mD9/PgAgNDQU58+fx1dffSUlAtauPPf40ksvSccHBwcjJCQEjRo1wr59+9CzZ0+zxF1RK1euRN++feHr62vuUExC3/1Z+/vwl19+wdq1a7Fu3Tq0aNECp0+fxsSJE+Hr62v29yG7sSrp5MmTSEpKQps2bWBnZwc7Ozvs378fy5Ytg52dHby9vZGbm4vU1FSd1yUmJkKpVJonaAOVdY/aA+40OnbsCAC4fv16VYdrFO7u7mjatCmuX78OpVJp9b/DorTvTx9r+/35+PggKChI57nmzZtLXXWa31PRmTvW9Dss6x71adiwIerUqWM1v0eN27dvIyoqCv/973+l52zpfajv/vSxtvfhlClTMG3aNLz00ksIDg7GsGHDMGnSJCxYsACAed+HTHYqqWfPnjh37hxOnz4tPdq1a4ehQ4dKP9vb22P37t3Sa65cuYLY2FiEhYWZMfLyK+se9TWPnz59GkDhB7Q1ysjIwI0bN+Dj44O2bdta/e+wKO3708fafn+dO3fGlStXdJ67evUq/Pz8AAABAQFQKpU6v8P09HQcPXrUan6HZd2jPnfu3MGDBw+s5veosWrVKnh5eaFfv37Sc7b0PtR3f/pY2/swKysLMpluWiGXy6FWqwGY+X1o0uHP1VTREfVvvvmm2KBBA3HPnj3iiRMnxLCwMDEsLMx8ARqB9j1ev35dnDt3rnjixAkxJiZG/P3338WGDRuKXbt2NW+QBnjrrbfEffv2iTExMeKhQ4fE8PBwsU6dOmJSUpIoitb/Oyzt/mzh93fs2DHRzs5OnDdvnnjt2jVx7dq1orOzs/jjjz9KxyxcuFB0d3cXf//9d/Hs2bPigAEDxICAAPHRo0dmjLz8yrrHhw8fim+//bYYHR0txsTEiFFRUWKbNm3EJk2aiNnZ2WaOvvwKCgrEBg0aiFOnTi22z9rfh6JY8v3Zwvtw+PDhYt26dcVt27aJMTEx4qZNm8Q6deqI77zzjnSMud6HTHZMoGiy8+jRI/H//u//xFq1aonOzs7i888/LyYkJJgvQCPQvsfY2Fixa9euYu3atUVHR0excePG4pQpU8S0tDTzBmmAF198UfTx8REdHBzEunXrii+++KJ4/fp1ab+1/w5Luz9b+P2Joihu3bpVbNmypejo6CgGBgaKX3/9tc5+tVotzpw5U/T29hYdHR3Fnj17ileuXDFTtBVT2j1mZWWJvXv3Fj09PUV7e3vRz89PHDVqlKhSqcwYseF27twpAtD7u7H296Eolnx/tvA+TE9PFydMmCA2aNBArFGjhtiwYUPxvffeE3NycqRjzPU+FERRq7QhERERkY3hmB0iIiKyaUx2iIiIyKYx2SEiIiKbxmSHiIiIbBqTHSIiIrJpTHaIiIjIpjHZISIiIpvGZIeIiIhsGpMdIiIATz31FARBgCAI0ppE+/btgyAIxRafNLb3339fuvbSpUtNei2i6ojJDhEZ7LXXXpP+OGs/+vTpY+7QKmXUqFFISEhAy5YtK32uxMRE2NvbY/369Xr3jxw5Em3atAEAvP3220hISEC9evUqfV0iKo7JDhFVSJ8+fZCQkKDz+Omnn0x6zdzcXJOe39nZGUqlEnZ2dpU+l7e3N/r164fvvvuu2L7MzEz88ssvGDlyJADA1dUVSqUScrm80tclouKY7BBRhTg6OkKpVOo8atWqJe0XBAHffvstnn/+eTg7O6NJkybYsmWLzjnOnz+Pvn37wtXVFd7e3hg2bBju378v7X/qqacwduxYTJw4EXXq1EFERAQAYMuWLWjSpAlq1KiB7t27Y82aNVJ3U2ZmJtzc3PDrr7/qXGvz5s1wcXHBw4cPK3zPWVlZ6Nu3Lzp37ix1bX377bdo3rw5atSogcDAQHz55ZfS8SNHjsTu3bsRGxurc54NGzYgPz8fQ4cOrXAsRFR+THaIyGTmzJmDF154AWfPnsXTTz+NoUOHIjk5GQCQmpqKHj16IDQ0FCdOnMCOHTuQmJiIF154Qecca9asgYODAw4dOoSvvvoKMTEx+M9//oPnnnsOZ86cwRtvvIH33ntPOt7FxQUvvfQSVq1apXOeVatW4T//+Q9q1qxZoXtJTU1Fr169oFarsWvXLri7u2Pt2rWYNWsW5s2bh0uXLmH+/PmYOXMm1qxZAwB4+umn4e3tjdWrVxeLZeDAgXB3d69QLERkIJOvq05ENmf48OGiXC4XXVxcdB7z5s2TjgEgzpgxQ9rOyMgQAYh//vmnKIqi+MEHH4i9e/fWOW9cXJwIQLxy5YooiqLYrVs3MTQ0VOeYqVOnii1bttR57r333hMBiCkpKaIoiuLRo0dFuVwuxsfHi6IoiomJiaKdnZ24b9++Eu+pW7du4oQJE3Se27t3rwhAvHTpkhgSEiIOGjRIzMnJkfY3atRIXLdunc5rPvjgAzEsLEzanjZtmhgQECCq1WpRFEXx+vXroiAIYlRUVLEY/Pz8xCVLlpQYIxFVDFt2iKhCunfvjtOnT+s83nzzTZ1jQkJCpJ9dXFzg5uaGpKQkAMCZM2ewd+9euLq6So/AwEAAwI0bN6TXtW3bVuecV65cQfv27XWe69ChQ7HtFi1aSC0sP/74I/z8/NC1a9cK3WuvXr3QuHFj/Pzzz3BwcABQOO7mxo0bGDlypM49fPjhhzrxjxgxAjExMdi7dy+AwlYdf39/9OjRo0KxEJHhKj8Kj4iqJRcXFzRu3LjUY+zt7XW2BUGAWq0GAGRkZODZZ5/FokWLir3Ox8dH5zoV8d///hfLly/HtGnTsGrVKrz++usQBKFC5+rXrx82btyIixcvIjg4WIofAL755ht07NhR53jtgcZNmjTBk08+iVWrVuGpp57C999/j1GjRlU4FiIyHJMdIjKLNm3aYOPGjfD39zdo9lOzZs2wfft2neeOHz9e7LhXXnkF77zzDpYtW4aLFy9i+PDhFY514cKFcHV1Rc+ePbFv3z4EBQXB29sbvr6+uHnzZpkDjUeOHIkxY8agf//+uHv3Ll577bUKx0JEhmM3FhFVSE5ODlQqlc5DeyZVWSIjI5GcnIwhQ4bg+PHjuHHjBnbu3InXX38dBQUFJb7ujTfewOXLlzF16lRcvXoVv/zyizQAWLu1pFatWhg4cCCmTJmC3r17V7qGzccff4yhQ4eiR48euHz5MoDCAdgLFizAsmXLcPXqVZw7dw6rVq3Cp59+qvPawYMHw97eHm+88QZ69+6N+vXrVyoWIjIMkx0iqpAdO3bAx8dH59GlS5dyv97X1xeHDh1CQUEBevfujeDgYEycOBHu7u6QyUr+aAoICMCvv/6KTZs2ISQkBCtWrJBmYzk6OuocO3LkSOTm5mLEiBEVu8kilixZghdeeAE9evTA1atX8d///hfffvstVq1aheDgYHTr1g2rV69GQECAzuucnZ3x0ksvISUlxWixEFH5CaIoiuYOgoioMubNm4evvvoKcXFxOs//8MMPmDRpEuLj46WBxSV56qmn0Lp1a7Mu1+Dv74+JEydi4sSJZouByBaxZYeIrM6XX36J48eP4+bNm/jhhx/w0Ucf6YzJycrKwo0bN7Bw4UK88cYbZSY62ud1dXXFuXPnTBW6XvPnz4erq2ux4oNEZBxs2SEiqzNp0iT8/PPPSE5ORoMGDTBs2DBMnz5dGuj8/vvvY968eejatSt+//13uLq6lnnOu3fv4tGjRwCABg0alDtBMobk5GSp2KKnpycUCkWVXZuoOmCyQ0RERDaN3VhERERk05jsEBERkU1jskNEREQ2jckOERER2TQmO0RERGTTmOwQERGRTWOyQ0RERDaNyQ4RERHZtP8HT5fzm3qeqIIAAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -2288,7 +2460,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 122, "id": "ebd77c40-6fcd-4881-bc1d-e3ca8ae0bf3b", "metadata": {}, "outputs": [], @@ -2306,7 +2478,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 123, "id": "823e05a0-516c-4d30-8dc7-5381e0e2e617", "metadata": {}, "outputs": [], @@ -2325,7 +2497,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 124, "id": "3c83690c-103e-47ff-b18f-13ac763ee87d", "metadata": {}, "outputs": [ @@ -2337,11 +2509,11 @@ " Migrad \n", " \n", " \n", - " FCN = 1208 (χ²/ndof = 21.2) \n", - " Nfcn = 204 \n", + " FCN = 1416 (χ²/ndof = 12.1) \n", + " Nfcn = 169 \n", " \n", " \n", - " EDM = 2.25e-05 (Goal: 0.0002) \n", + " EDM = 3.27e-05 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2374,8 +2546,8 @@ " \n", " 0 \n", " A_p1 \n", - " 710 \n", - " 13 \n", + " 345 \n", + " 6 \n", " \n", " \n", " \n", @@ -2385,8 +2557,8 @@ " \n", " 1 \n", " A_p2 \n", - " 1.400e3 \n", - " 0.014e3 \n", + " 700 \n", + " 7 \n", " \n", " \n", " \n", @@ -2396,7 +2568,7 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.49 \n", + " 53.47 \n", " 0.04 \n", " \n", " \n", @@ -2418,8 +2590,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.034 \n", - " 0.033 \n", + " 2.138 \n", + " 0.034 \n", " \n", " \n", " \n", @@ -2440,8 +2612,8 @@ " \n", " 6 \n", " A_bkg \n", - " 221 \n", - " 25 \n", + " 108 \n", + " 12 \n", " \n", " \n", " \n", @@ -2451,8 +2623,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 41.0 \n", - " 3.1 \n", + " 39.9 \n", + " 3.0 \n", " \n", " \n", " 0 \n", @@ -2473,11 +2645,11 @@ " \n", " \n", " A_p1 \n", - " 176 \n", + " 40 \n", " 0 \n", - " -0.0009 \n", + " 0.0064 (0.024) \n", " 0 \n", - " -0.2454 (-0.558) \n", + " -0.1170 (-0.544) \n", " 0 \n", " 0 \n", " 0 \n", @@ -2495,11 +2667,11 @@ " \n", " \n", " mu_p1 \n", - " -0.0009 \n", + " 0.0064 (0.024) \n", " 0.0000 \n", - " 0.00155 \n", + " 0.00171 \n", " 0.0000 \n", - " 0.0003 (0.223) \n", + " 0.0003 (0.207) \n", " 0.0000 \n", " 0.0000 \n", " 0.0000 \n", @@ -2517,11 +2689,11 @@ " \n", " \n", " sigma_p1 \n", - " -0.2454 (-0.558) \n", + " -0.1170 (-0.544) \n", " 0.0000 \n", - " 0.0003 (0.223) \n", + " 0.0003 (0.207) \n", " 0.0000 \n", - " 0.0011 \n", + " 0.00116 \n", " 0.0000 \n", " 0.0000 \n", " 0.0000 \n", @@ -2565,8 +2737,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 1208 (χ²/ndof = 21.2) │ Nfcn = 204 │\n", - "│ EDM = 2.25e-05 (Goal: 0.0002) │ │\n", + "│ FCN = 1416 (χ²/ndof = 12.1) │ Nfcn = 169 │\n", + "│ EDM = 3.27e-05 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -2577,36 +2749,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 710 │ 13 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.400e3 │ 0.014e3 │ │ │ │ │ yes │\n", - "│ 2 │ mu_p1 │ 53.49 │ 0.04 │ │ │ │ │ │\n", + "│ 0 │ A_p1 │ 345 │ 6 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 700 │ 7 │ │ │ │ │ yes │\n", + "│ 2 │ mu_p1 │ 53.47 │ 0.04 │ │ │ │ │ │\n", "│ 3 │ mu_p2 │ 60.0 │ 0.6 │ │ │ │ │ yes │\n", - "│ 4 │ sigma_p1 │ 2.034 │ 0.033 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.138 │ 0.034 │ │ │ │ │ │\n", "│ 5 │ sigma_p2 │ 2.00 │ 0.02 │ │ │ │ │ yes │\n", - "│ 6 │ A_bkg │ 221 │ 25 │ │ │ │ │ yes │\n", - "│ 7 │ tau_bkg │ 41.0 │ 3.1 │ │ │ 0 │ │ yes │\n", + "│ 6 │ A_bkg │ 108 │ 12 │ │ │ │ │ yes │\n", + "│ 7 │ tau_bkg │ 39.9 │ 3.0 │ │ │ 0 │ │ yes │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 176 0 -0.0009 0 -0.2454 0 0 0 │\n", + "│ A_p1 │ 40 0 0.0064 0 -0.1170 0 0 0 │\n", "│ A_p2 │ 0 0 0.0000 0 0.0000 0 0 0 │\n", - "│ mu_p1 │ -0.0009 0.0000 0.00155 0.0000 0.0003 0.0000 0.0000 0.0000 │\n", + "│ mu_p1 │ 0.0064 0.0000 0.00171 0.0000 0.0003 0.0000 0.0000 0.0000 │\n", "│ mu_p2 │ 0 0 0.0000 0 0.0000 0 0 0 │\n", - "│ sigma_p1 │ -0.2454 0.0000 0.0003 0.0000 0.0011 0.0000 0.0000 0.0000 │\n", + "│ sigma_p1 │ -0.1170 0.0000 0.0003 0.0000 0.00116 0.0000 0.0000 0.0000 │\n", "│ sigma_p2 │ 0 0 0.0000 0 0.0000 0 0 0 │\n", "│ A_bkg │ 0 0 0.0000 0 0.0000 0 0 0 │\n", "│ tau_bkg │ 0 0 0.0000 0 0.0000 0 0 0 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 84, + "execution_count": 124, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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wW4Bpb2/Hz3/+c4iiiJdfftleb2OyevVq1NXVmR6lpaV2f08iGhhpBlJi+MB7YCRdbxNNnToVKpXKapG71roLuLD1GbzfrVIvEbkeuwQYKbycPXsWO3bsMPW+AEBMTAyqq6vNju/o6EBNTQ1iYmJMx1RVVZkdIz2XjunOz88PISEhZg8ick5na6RbSIPrgbGktyJ3ktfXP2FxzSQich2yBxgpvJw8eRKff/45IiIizPanpqaitrYWhw4dMm374osvYDAYkJKSYjomPz8f7e3tpmN27NiBkSNHIiwsTO4mE5GDSbeQBrOIoyQoKAiiKEIURQQFBfVZ5A4A6i5UmhW5IyLX0+8A09DQgKKiIhQVFQEASkpKUFRUhHPnzqG9vR2ZmZk4ePAgNm/eDL1ej8rKSlRWVqKtrQ0AMHr0aNx6661YvHgxvv76a+zduxfLli3DggULTIPx7rrrLvj6+mLRokU4evQo/v3vf2PDhg1YsWKFfFdORIqoa2pHbZPxj5MEG24hNTY2mmq5NDb2PQV6IEXuiMj19Hsa9cGDB3HLLbeYnkuhYuHChXjiiSfw4YcfAgCuu+46s9ft2rUL06ZNAwBs3rwZy5Ytw/Tp0+Hl5YX58+dj48aNpmPVajU+++wzLF26FBMnTkRkZCTWrFnDKdREbuBsjTGERAX7IdC33z+C+mRrkTtbjyMi5ySIvd0odmE6nQ5qtRp1dXUcD0PkRD789jwefOu/uCEpDO/ef3Ofxzc2NmLIkCEAjD3AQUG9j5vR6/VISkpCeXm51XEwquBI6C6UQ+xo79e5icj+bP39zbWQiMihzvVzCnXXwbb5+fl9Dr6VitwB6FGpV3oePn0Jquvbe7yWiFwHAwwROdSVRRz7Hv9iqZZLUlIS8vqYBt1bkbtrFj6JwJE3o7y2ud/hiIicBwMMETnUlUUce++BsVbLpby8HJmZmTaFGEtF7iZMvbXz/O8NKBwRkXNggCEihzprQw9Mb7VcpG3Z2dk23U6SSEXuNGEBaCreh/WrfjvgcEREymOAISKHaWrrQHV9KwAgMdx6D0xftVxEUURpaemAarnEBvuiZucrAAYXjohIWQwwROQwUu9LaKAP1IE+Vo+Tq5ZL9yJ3AFB35jD09RetvmYw4YiIHIcBhogc5soq1L2Pf7FnLRehqdam41jojsi5McAQkcOYVqHuowJvWloaNBpNj2nQEkEQoNVqkZaW1u82jB6eaNNxLHRH5NwYYIjIYaRFHPuaQm1LLZecnByzQbq2um3Gj+EdHGl1/2DCERE5DgMMETnM2X4Useutlktubi4yMjIG1AYfH29cPW+Z8YnM4YiIHIcBhogc5sxFaQzMlR6Y3hZrtFbLZaDhRXLd1JkYOu9RhEdGm20fbDgiIsdhgCEih2jt0KOirhmA7csIAJZruQxWfGgAAkfejD+8+qlpm1zhiIgcgwGGiByi7HIzDCIQ5KtC5BBfRduiCTP2AFU1XFkPSa5wRESOwQBDRA7RdQmBrgNz+1qPyFItl8GKDw0AAJTXtshyPiJyPAYYInIIS0sIDHSxxsHShBkDTGV9m+zhiIgcgwGGiBxCCjAJnQFmsIs1DkZ8Z4A5X9sMg6HnkgJE5PwYYIjIIc503kJKigiSbbHGgYoJ8YfKS0C7XjStzUREroUBhogc4tylK1Oo7blYoy28VV6ICfEHAJTXNtnlPYjIvhhgiMju9AYRpZevrIMk12KNgyGNgym73Gy39yAi+2GAISK7O1/bjHa9CF9vL8SG+Nt1sUZbxTPAELk0BhgisjvTAN7wQHh5CXZdrNFWmlAGGCJXxgBDRHZ3ptsq1PZcrNFWUjG78loGGCJXxABDRHZ3rubK+BeJvRZrtNWVW0gcxEvkihhgiMjuzlyUVqEONNtur8UabSEN4i2/3GxxOjcROTcGGCKyu7OXeq5CLbHHYo22iFUHQBCA1g4DLja0OeQ9iUg+DDBEZFeiKOJszZUidt3ZY60jW/h6eyE6WKoFw3EwRK6GAYaI7Kq6vhUt7QaovATTuBNnEd/lNhIRuRYGGCKyK+n2UXxoAHxUzvUjR8OBvEQuy7l+mhCR2zFNobYw/kVp8Z21YHgLicj1MMAQkV2ddeYAw2q8RC6LAYaI7Eq6hWRpAK/STMXsGGCIXA4DDBHZVddlBJxNfOiVMTCsBUPkWhhgiMhuRFE0jYFJinTGHhhjgGls06OuuV3h1hBRfzDAEJHd1Da1o76lA4Bz9sD4+6gQOcQXAMfBELkaBhgishup9yUmxB/+Po6psNtf8Z3jYBhgiFwLAwwR2Y1p/IsTzkCSaEJZC4bIFfU7wOTn5+O2225DXFwcBEHA1q1bzfaLoog1a9YgNjYWAQEBSE9Px8mTJ82OqampQVZWFkJCQhAaGopFixahoaHB7JjDhw8jLS0N/v7+0Gq1WLduXf+vjogUJfXAJDvhDCSJaVFH1oIhcin9DjCNjY249tpr8dJLL1ncv27dOmzcuBGbNm3C/v37ERQUhJkzZ6KlpcV0TFZWFo4ePYodO3Zg27ZtyM/Px5IlS0z7dTodZsyYgcTERBw6dAjPPfccnnjiCbzyyisDuEQiUoq0CrUzDuCVcDkBItfk3d8XzJo1C7NmzbK4TxRF5OTk4LHHHsPcuXMBAP/85z8RHR2NrVu3YsGCBTh+/Di2b9+OAwcOYNKkSQCAF154AbNnz8bzzz+PuLg4bN68GW1tbXj11Vfh6+uLsWPHoqioCOvXrzcLOkTk3Eo6byElRzrxLSQWsyNySbKOgSkpKUFlZSXS09NN29RqNVJSUlBYWAgAKCwsRGhoqCm8AEB6ejq8vLywf/9+0zFTp06Fr6+v6ZiZM2eiuLgYly9ftvjera2t0Ol0Zg8iUtaVKrxO3AMT2lnMjreQiFyKrAGmsrISABAdHW22PTo62rSvsrISUVFRZvu9vb0RHh5udoylc3R9j+7Wrl0LtVptemi12sFfEBENWG1TG2qbjLVVnHEZAYl0C6muuR31LawFQ+Qq3GYW0urVq1FXV2d6lJaWKt0kIo9W0jn+JTrED2J7KwRBgCAIaGxsVLhl5ob4eSM00AcAe2GIXImsASYmJgYAUFVVZba9qqrKtC8mJgbV1dVm+zs6OlBTU2N2jKVzdH2P7vz8/BASEmL2ICLlOPMaSN2ZlhSoYYAhchWyBpjk5GTExMRg586dpm06nQ779+9HamoqACA1NRW1tbU4dOiQ6ZgvvvgCBoMBKSkppmPy8/PR3n6lO3fHjh0YOXIkwsLC5GwyEdmJ1AOTHBkEvV5v2p6fn2/23BlwKjWR6+l3gGloaEBRURGKiooAGAfuFhUV4dy5cxAEAdnZ2fjzn/+MDz/8EEeOHMG9996LuLg4zJs3DwAwevRo3HrrrVi8eDG+/vpr7N27F8uWLcOCBQsQFxcHALjrrrvg6+uLRYsW4ejRo/j3v/+NDRs2YMWKFbJdOBHZl1QDpubolxgzZoxp++zZs5GUlIS8vDylmtaDNJCXxeyIXIjYT7t27RIB9HgsXLhQFEVRNBgM4uOPPy5GR0eLfn5+4vTp08Xi4mKzc1y6dEm88847xSFDhoghISHifffdJ9bX15sd8+2334pTpkwR/fz8xPj4ePEvf/lLv9pZV1cnAhDr6ur6e4lEJIOfvfilOHTeoyIEocfPC0EQREEQxPfee0/pZoqiKIr/KPhBTFy1TfztmweVbgqRx7P197cgiu65hrxOp4NarUZdXR3HwxApYPwfP8Gxv94Lff1Fi/sFQYBGo0FJSQlUKmXXSfr0aCV+869DGK9R48NlUxRtC5Gns/X3t9vMQiIi53G5sQ3VJ4ushhfAWPiytLQUBQUFDmyZZRpW4yVyOQwwRCS7M5caoW+wXHSyu4qKCju3pm+azjEwlxrb0NzmXAOMicgyBhgikt2ZS41QDbFtxmBsbKydW9O3kABvBPkab2Odr2MvDJErYIAhItmdudgEP81YBEdEQxAEi8cIggCtVou0tDQHt85yW+I6a8Gc51RqIpfAAENEsjtzqRGClwp3Ll8DAD1CjPQ8JydH8QG8EinAVNS2KNwSIrIFAwwRye5MZxG722/PQG5urqnGk0Sj0SA3NxcZGRlKNM8iKcCwmB2Ra/BWugFE5H7OSMsIRAZi1DUZSE9Ph1qtBgB8/PHHmDFjhtP0vEji1P4AeAuJyFWwB4aIZHW5sQ11zZ2rUIcb10HqGlamTp3qdOEFuNIDw0G8RK6BPTBEJKuSziUEYkL8EdA5sycoKAjOXjPzyiBejoEhcgXsgSEiWZ3tDDBJkYEKt6R/4rvMQnL2sEVEDDBEJLOSi8bxL8mRQQq3pH+i1X4QBKC1w4Caxjalm0NEfWCAISJZSTOQEiNcK8D4easQOcQPwJXbSI2NjRAEAYIgoLGxUcnmEVE3DDBEJCvTLSQXCzAAp1ITuRIGGCKSjSiKKOnsgXG1W0gAEB9qnEpd0TkTSa+/si5Sfn6+2XMiUhYDDBHJ5nJTO3QtHQCAhHDXGsQLAHHqKwN58/LyMGbMGNO+2bNnIykpCXl5eUo1j4i6YIAhItmc6bx9FKu+MoXalUi3kAp2fIzMzEyUl5eb7S8vL0dmZiZDDJETYIAhItlIA3hdcfwLAMSF+kM06LHnjXUWp1JL27Kzs3k7iUhhDDBEJJuuSwi4orjQALSWHUVL7QWrx4iiiNLSUhQUFDiwZUTUHQMMEcnG9XtgAqBvuGzTsRUVFXZuDRH1hgGGiGQjjYFxtRowkoggX/ipI2w6NjY21s6tIaLeMMAQkSxcfQo1AAiCgBHjJkEVHAkIgtVjtFot0tLSHNw6IuqKAYaIZHG5qR31nVOoEyNccwwMAMSFBSF8+hJANIaVrqTnOTk5TrmiNpEnYYAhIllIvS+xan/4+7juL/e40AAEjrwZi57YiLi4OLN9Go0Gubm5yMjIUKh1RCTxVroBROQeXHkJga6kWjBR43+EY8fuhVqtBgB8/PHHmDFjBnteiJwEe2CISBamGUguOv5FIi0ncL622SysTJ06leGFyImwB4aIZFEi1YBx4fEvwJUemPO1zQgKCrJY0I6IlMceGCKShekWkov3wMSa1kNqUbglRNQbBhgiGjR3mEItieu8hdTQ2gFdS7vCrSEiaxhgiGjQuk6hdsVVqLsK9PVGWKAPAONtJCJyTgwwRDRoUu9LnItPoZZ0HQdDRM6JAYaIBs1dZiBJpABTznEwRE6LAYaIBu2si6+B1F2c+spUaiJyTgwwRDRo0hTq5EjXHv8ikXpgKhhgiJwWAwwRDZp0C8ltemBC+55K3djYCEEQIAgCGhsbHdU0IurEAENEgyKKIs5cco8p1JIrY2DYA0PkrBhgiGhQahrbUN/SAUFw/SnUkvjOAFOpa4HeYLkSr16vN/13fn6+2XMisj/ZA4xer8fjjz+O5ORkBAQEYPjw4fjTn/5kVo5bFEWsWbMGsbGxCAgIQHp6Ok6ePGl2npqaGmRlZSEkJAShoaFYtGgRGhoa5G4ukVNxxdsSUu9LbIh7TKEGgKHBfvD2EqA3iKiu73kbKS8vD2PGjDE9nz17NpKSkpCXl+fIZhJ5NNkDzLPPPouXX34ZL774Io4fP45nn30W69atwwsvvGA6Zt26ddi4cSM2bdqE/fv3IygoCDNnzkRLy5UfFFlZWTh69Ch27NiBbdu2IT8/H0uWLJG7uUROxRX/qi+5aBzAe/rb/S4VvHqj8hIQHSLNRDIPMHl5ecjMzER5ebnZ9vLycmRmZjLEEDmI7AFm3759mDt3LubMmYOkpCRkZmZixowZ+PrrrwEYe19ycnLw2GOPYe7cuRg/fjz++c9/4vz589i6dSsA4Pjx49i+fTv+3//7f0hJScGUKVPwwgsv4O2338b58+flbjKRU3DVv+pPVtcDANovlSrcEnnFWyhmp9frsXz5cosLPErbsrOzXSJ4Erk62QPMzTffjJ07d+LEiRMAgG+//RZffvklZs2aBQAoKSlBZWUl0tPTTa9Rq9VISUlBYWEhAKCwsBChoaGYNGmS6Zj09HR4eXlh//79Ft+3tbUVOp3O7EHkKlz5r/pTVQ0QDXo0n/kvANfpOeqLtCZS1wBTUFCAsrIyq68RRRGlpaUoKCiwe/uIPJ3sAeaRRx7BggULMGrUKPj4+GDChAnIzs5GVlYWAKCyshIAEB0dbfa66Oho077KykpERUWZ7ff29kZ4eLjpmO7Wrl0LtVptemi1WrkvjcguXP2v+n1ffIzyTYvQcsr4x4Wr9Bz1xdJyAhUVFTa91tbjiGjgZA8w77zzDjZv3owtW7bgm2++wRtvvIHnn38eb7zxhtxvZWb16tWoq6szPUpL3as7m9yXK/9V/9Y77+L7fz0Bff1Fs+2u0HPUl1gpwNRdGQMTGxtr22ttPI6IBk72ALNy5UpTL8y4ceNwzz334KGHHsLatWsBADExMQCAqqoqs9dVVVWZ9sXExKC6utpsf0dHB2pqakzHdOfn54eQkBCzB5ErcNW/6vV6PR7Kzra4zxV6jvoSb+EWUlpaGjQaDQRBsPgaQRCg1WqRlpbmkDYSeTLZA0xTUxO8vMxPq1KpYDAYAADJycmIiYnBzp07Tft1Oh3279+P1NRUAEBqaipqa2tx6NAh0zFffPEFDAYDUlJS5G4ykaJc9a/6goICVFVYH1TvzD1HtrB0C0mlUmHDhg0A0CPESM9zcnKgUrnHdHIiZyZ7gLntttvw9NNP4z//+Q/OnDmD999/H+vXr8ftt98OwPglz87Oxp///Gd8+OGHOHLkCO69917ExcVh3rx5AIDRo0fj1ltvxeLFi/H1119j7969WLZsGRYsWIC4uDi5m0ykqLS0NMTHawAX+6veVXuObCUFmMtN7Whq6zBtz8jIQG5ubo+fRRqNBrm5ucjIyHBoO4k8lbfcJ3zhhRfw+OOP43e/+x2qq6sRFxeH3/zmN1izZo3pmD/84Q9obGzEkiVLUFtbiylTpmD79u3w9/c3HbN582YsW7YM06dPh5eXF+bPn4+NGzfK3VwixRWV1SHoR4uALU/23OnEf9W7as+RrUL8fRDs54361g6cr23BiKghpn0ZGRlIT0+HWq0GAHz88ceYMWOG031GRO5MEC1NfXADOp0OarUadXV1HA9DTmvrf8vx8LvfosMgwq/0ACo+3YT6S1fGh6mCI7H8sT/jf//wGwVbaZler0dgRCza6i5Y3C8IAjQaDUpKSlz2F/vMv+ajuKoe/1p0I9KuGqp0c4g8gq2/v7kWEpFCzl5qxOq8I+gwiPjp+FgcevUxlP1grJ8ElTd+vuZviL//H/ioLgGHy2oVbaslbXpA/ePFANx3PEishYG8ROQcGGCIFGAwiFj57mE0t+uROiwCGxdMwBA/7yu/7PUd+H8r78JPxsahTW/Ab9/8Bpcb25RtdDcnq+sRePXNSF6wxm3Hg1xZlbrnekhEpCwGGCIFvL7vDL4+U4MgXxXWZY6Hl5exxyIoKAiiKEIURQQPGYL//fm1SIwIRHltM5b/u8jqyshKOF5hrHadOn0Wjh07Ztr+8ccfo6SkxOXDC2B5OQEicg4MMEQOVnKxEes+/R4AsHr2aGjDA60eqw7wwaa7J8Lfxwv5Jy5gw86TVo91tOMVxjWQRscY6y5JwWvWrFkufduoK0vLCRCRc2CAIXIg462jb9HSbsCUEZHISkno8zWjY0PwzO3jAAAvfXESPmGxTrHq87HOHpjRse47SD5ObeyBqajjLSQiZ8MAQ+RAO45X4eDZyxji542/zB9ntaJrdxnXazD16qHo0OsROHIyAGUXTRRF0XQLya0DjGkMTLPFtaqISDkMMEQO9M/CMwCAe1IToQmzfuvIkms7ilG+aRF0+98DoOyiieW1zahv6YCPSjCrj+JuokP8IQhAW4cBl5xsEDWRp2OAIXKQU9UN2HvqErwE2HTrqKu8vDysvH+h0yya+H3n+JfhQ4fA19t9f4z4enshKtgPAMfBEDkb9/3JQ+Rk3vzqLADgx6Oi+9X7otfrsXz5cou3MJRaNFG6fTTGjW8fSa6sicRxMETOhAGGyAEaWzvw3qEyAMC9qYn9em1BQQHKysqs7ldi0cTjle4//kViaVFHIlIeAwyRA2wtKkd9aweSIgIxIS4AgiDYPJPIGRdNNE2h9oQAo+ZUaiJnxABDZGeiKOJfhcbbR3fflAgvG2ceSZxh0cTGxkZT6Kq4VIuSi8bgNSbOAwKM1ANTxwBD5EwYYIjs7MCZy/i+sh7+Pl64Y6LWbKyKLVOh09LSoNForE65FgQBWq0WaWlpsra7q65t3PLhDogGPbThAQgP8rXbezoLLidA5JwYYIjsbMt+Y+/LvOvisXP7RxgzZoxpny1ToVUqFTZs2ACg56KJACCKVxZN7NpTIlehu7y8PLM2P/yrn6N80yIEVXwjy/mdnbScQAVvIRE5FQYYIjsyGETsPnEBABB+4b/IzMxEeXm52TG2TIXOyMhAbm5uj0UTVcGRuOquNfjZ3HkA0O/enb7k5eVZbLO+/iI+zfmDIjVoHE3qgamub0VrhzKFA4moJwYYIjs6VqFDbVM7Ar2BjU8/Nqip0BkZGWaLJn740X8w/vf/Qpv2Buw4VtWjp2Swhe56m74NABAcP31bCWGBPvD3Mf6orOSSAkROgwGGyI72nTYWnkvsKEW5DFOhuy6aeNtPZ+POm5IAAE+/9PqAe3es6Wv6NhSYvq0EQRBMdXvKLvM2EpGzYIAhsqO9py4BADR+tv3l3t+p0FkpiRBEPb7asl72QnfOOH1bKZow422k0pomhVtCRBIGGCKZmQbSqnzwdYkxwEwed5VNr+3vVOi40ACMU1X0WGKgq4EWunOG6dvOQsseGCKnwwBDJDOpp8M7NAaXTxchLECFrLkz7TYVemKUbXVl+ttT4gzTt52F1ANTdpk9METOggGGSEZdB9J21JSh6q1HcXLjQnz00YdWp0JLz6Wp0P019Vr79O70Nn17sG12NQMZA2OPKe1EdAUDDJFMrE05bqy5gMzMTACwOBVao9EgNzcXGRkZA3rfqVOnImxojNX9g+kpsTZ9O36QbXY1V3pgbA8wck9pJyJzDDBEMuh9yvGVgbRz5841mwr98ccfo6SkZFBBoGtPSXdy9JRI07cDrr4ZkbetxE8efhFnBtlmVyMFmKr6Fptqwcg9pZ2IemKAIZJBf1aM7joVetasWbLcgrnnzp/jpyuehyo40mz7YHt3JCEhIbjnsQ0IGvMjzJsz0yNuG3UVHuSLAB8VRBGo6GNJAWs9cYOZ0k5EPTHAEMnAGaYcP/HgfYi//x8YescTgLefLL07ElEUcfDMZQBASnL4oM/naoy1YPq+jdRbT9xgprQTUU8MMEQycIYpx9cnhGFUbCgCh03Ca7uPy9a7AwCnLzTiUmMb/Ly9MC4+VJZzuhpTLZheZiL1pyeOiAaHAYZIBs4w5VgQBNyVkgAA2PL1OetLAAzA/s56NtdpQ+Hr7Zk/Nq7MRLIeYJyhJ47IU3jmTyIimZkPpFVuyvHt18cjwEeFE1UNOHT2smzn3VNsXJBy8ojIPo50X7bcQnKGnjgiT8EAQyQTacpxcMRQs+1yDaS1RYi/D2671vjL8fV9Z2Q5Z2uHHntPGSv93jIySpZzuiJbasE4Q08ckadggCGSUUZGBiY8/Cai73wGPtHDZR1Ia6tf3pwMAPjku0qU1w6+9P3BM5fR2KZH5BA/jI0LGfT5XJUt1XhZ/I/IcRhgiGRUUdeMs7VtCEwcjwsl8g6ktdWYuBBMHhEBvUHEGzL0wuwurgYATBs5FF5eti1b4I604cYemCpda6+1YKwV/3NkTxyRJ2CAIZKRtPr0uHg11AE+irVj0RRjL8xb+8+hobXDptdYK32/q3P8y7SRQ6291COEBfog0NcYRs/3UQtGKv4nUaInjsjdMcAQyWhf51iRmxUe7Drt6igMGxqE+tYOvHOg1KbXWCp9f+5SE05VN0DlJSBthGcHGPNaMH0v6miPgoVEdAUDDJFMRFHE3tPGADN5uLIBxstLMPXCvLq3BHqDCJ1OZ+ph+eSTT8wCi7XS90+98CoAY/E6daByPUrOYiCLOhKRfTDAEMnk9IVGVOla4evthUlJYUo3BxkTNAgL9EHZ5Was2fCq1bV5eit9/48nH0BT8T7cPiHe0c13SqZidjV998AQkX0xwBDJpLCz92ViQhj8fZS/XRDgq8LdNyWiqXgfnlnxa4sBZf78+ViyZEmvpe8vf/EKZozx3OnTXQ1kVWoisg+7BJjy8nLcfffdiIiIQEBAAMaNG4eDBw+a9ouiiDVr1iA2NhYBAQFIT0/HyZMnzc5RU1ODrKwshISEIDQ0FIsWLUJDQ4M9mkskC2kA7+QREQq35Iq7btTg8s5XLO6TAsqlS5d6PUeH7iL++3Wh7G1zRbZU4yUix5A9wFy+fBmTJ0+Gj48PPvnkExw7dgz/+7//i7CwK13q69atw8aNG7Fp0ybs378fQUFBmDlzJlparozsz8rKwtGjR7Fjxw5s27YN+fn5WLJkidzNJZKF3iCi8AdjEFB6AG9XxUUH0FF/cdDnYel7I/bAEDkPb7lP+Oyzz0Kr1eK1114zbUtOTjb9tyiKyMnJwWOPPYa5c+cCAP75z38iOjoaW7duxYIFC3D8+HFs374dBw4cwKRJkwAAL7zwAmbPno3nn3++R30FIqUdO69DXXM7hvh5Y3y8WunmmMgVPFj63kjqgamub0VLu94pbhUSeSrZe2A+/PBDTJo0CXfccQeioqIwYcIE/P3vfzftLykpQWVlJdLT003b1Go1UlJSUFho7KYuLCxEaGioKbwAQHp6Ory8vLB//36L79va2gqdTmf2IHIUafZRSnI4vFXOM7Rs8MGDpe+7Mq8Fw14YIiXJ/pP2hx9+wMsvv4yrrroKn376KX7729/iwQcfxBtvvAEAqKysBABER0ebvS46Otq0r7KyElFR5oMGvb29ER4ebjqmu7Vr10KtVpseWq1W7ksjsmqvk9R/6c6WtXkiIiJM06t77mfp+67Ma8EwwBApSfYAYzAYcP311+OZZ57BhAkTsGTJEixevBibNm2S+63MrF69GnV1daZHaaltxbuIBqu1Q48DZ2oAONcAXsC2tXleeeUVi6Xvw6NiWfreAi1rwRA5BdkDTGxsrFm9CQAYPXo0zp07BwCIiYkBAFRVVZkdU1VVZdoXExOD6upqs/0dHR2oqakxHdOdn58fQkJCzB5EjlB0rhYt7QZEDvHFyOhgpZvTg7W1eYbGxJkCSkZGBooOf4ewmUsRedtKpC3fiPOlZxleLDDVguFMJCJFyR5gJk+ejOLiYrNtJ06cQGJiIgDjgN6YmBjs3LnTtF+n02H//v1ITU0FAKSmpqK2thaHDh0yHfPFF1/AYDAgJSVF7iYTDcre08bZR6nDI63eqlGaaW0ewQvBk+Yh+s5nEHbf31AZPh4X6ltxuKwW923+DiHXzYJmUjr+/eSv4efLyruWSAN5z7GYHZGiZJ+F9NBDD+Hmm2/GM888g5///Of4+uuv8corr+CVV4y1KARBQHZ2Nv785z/jqquuQnJyMh5//HHExcVh3rx5AIw9Nrfeeqvp1lN7ezuWLVuGBQsWcAYSOR1p/aPJw53r9lF3ISEhEA16tHboseSfh7DnxAWs216Mdduv/MGhDvDBS3ddj1h1gIItdW6JEZ0B5hIDDJGSZA8wN9xwA95//32sXr0aTz31FJKTk5GTk4OsrCzTMX/4wx/Q2NiIJUuWoLa2FlOmTMH27dvh7+9vOmbz5s1YtmwZpk+fDi8vL8yfPx8bN26Uu7lEg9LY2oGi0loAwGQnG8BrjZ+3Cq/+8gZ8UFSOnM9P4lxNE3xUAm4ZGYU/zbsG0SH+fZ/EgyVGBAEAzlxqhCiKTtvrRuTuBNFSDXE3oNPpoFarUVdXx/EwZDe7vq/Gfa8fgCYsAF+u+rHSzek3URTRpjfAz5uzjGzV3KbH6DXbAQD/ffwnCAvyVbhFRO7F1t/fzlOwgsgF7T3lHKtPD5QgCAwv/RTgq0J0iB8AYy8MESmDAYZoEPadlpYPcO7xLyQv6TYSB/ISKYcBhmiAahrbcKzCWPH5ZhftgaGBSQw3DuQ9y4G8RIphgCEaoMLO3peR0cEYGuyncGvIkZIirwzkJSJlMMAQ9ZNOp4MgCPjF3QvRcu4wbkoOVbpJ5GAJ4ZxKTaQ0BhiifsjLyzNVmm48sgNVbz2K/7v/VuTl5SncMnKkJNNUagYYIqUwwBDZKC8vD5mZmSgvLzfbfqm6EpmZmQwxHiShs5jdxYZWNLZ2KNwaIs/EAENkA71ej+XLl8NS2SRpW3Z2NvR6vaObRgpQB/ggLNC41AIH8hIpgwGGyAYFBQUoKyuzul8URZSWlqKgoMCBrSIlJZimUnMgL5ESGGCIbFBRUSHrceT6kjpvI3EcDJEyGGCIbBAbGyvrceT6WAuGSFkMMEQ2SEtLg0ajsbpwnyAI0Gq1SEtLc3DLSClSNd6zrAVDpAgGGCIbqFQqbNiwweI+KdTk5ORApeK6Qp4iMYI9MERKYoAhslFGRgbeeedd+ISYLxug0WiQm5uLjIwMhVpGSpB6YM7XNaO1g7PPiByNAYaoH65KmY7Y3/wDQ+evASDg448/RklJCcOLB4oc4otAXxVEESi73Kx0c4g8DgMMUT/sO30JgpcKP7vtNoiiAbNmzeJtIw8lCALHwRApiAGGqB/2nb4IAJg8IkLhlpAz4EwkIuUwwBDZqLVDjwNnagAAk0dE9nE0eQIO5CVSDgMMkY2+OVuLlnYDhgb74aqoIUo3h5zAYG4hNTY2QhAECIKAxkbegiLqLwYYIhtJt49uHh5htR4MeZbB9MB0XTcrPz+f62gR9RMDDJGN9p66EmCIgCsBpvRyE/SGngt9WpOXl4cxY8aYns+ePRtJSUlc0ZyoHxhgiGxQ39KOb8vqAAA3D+f4FzKKVQfAV+WFdr2I87W2TaXOy8tDZmYmysvLzbaXl5cjMzOTIYbIRgwwRDb4uqQGeoOIxIhAaDtnnhCpvARTL8wPF/sex6LX67F8+XKIYs/eGmlbdnY2bycR2YABhsgGe09dAsDeF+pp2FDjQN7T1Q19HltQUICysjKr+0VRRGlpKQoKCmRrH5G7YoAhsoE0/oX1X6i7YUONM9J+uNh3gKmoqLDpnLYeR+TJGGCI+nChvhXFVfUA2ANDPQ2LNPbA/HCh71tIsbGxNp3T1uOIPBkDDFEfpOnTY2JDEB7kq3BryNkM76wJZEuASUtLg0ajsToNXxAEaLVapKWlydpGInfEAEPUh32d4194+4gsGR5pDDCVuhY0tnb0eqxKpcKGDRsAoEeIkZ7n5ORwfS0iGzDAEPVCFEV8aRr/wttH1JM60AcRnT1zJTbMRMrIyEBubi7i4uLMtms0GuTm5nJlcyIbeSvdACJndq6mCeW1zfBRCbgxOVzp5pCTGjY0CJca23D6QgOuiVf3eXxGRgbmzp2LgoICVFRUIDY2Fmlpaex5IeoHBhiiXkjTpydowxDoy68LWTYscggOnLls0zgYiUqlwrRp0+zXKCI3x1tIRL0wLR/A8S/Ui+FRnTORbLiFRETyYIAhssJgEE0zkKZw/Av1YljnQF5bitkRkTwYYIisOF6pw+WmdgT5qnCtNlTp5pATM02lvtgAQz8WdSSigWOAIbJAp9Phhh//FI3H9iC++TS8wF9KZF1CeCB8vb3Q0m5A2WXbFnUkosFhgCHqJi8vD2PGjEFz8Ze4+NFz2PH8MiQlJXGVYLJK5SVgeOeSAier6xVuDZFnsHuA+ctf/gJBEJCdnW3a1tLSgqVLlyIiIgJDhgzB/PnzUVVVZfa6c+fOYc6cOQgMDERUVBRWrlyJjo7ei0QRDVZeXh4yMzNRXl5utr28vByZmZkMMWTVVVFSgOE4GCJHsGuAOXDgAP72t79h/PjxZtsfeughfPTRR3j33XexZ88enD9/3qx4k16vx5w5c9DW1oZ9+/bhjTfewOuvv441a9bYs7nk4fR6PZYvXw5R7Hm7SNqWnZ0NvV7v6KaRC5ACzIkq9sAQOYLdAkxDQwOysrLw97//HWFhYabtdXV1+Mc//oH169fjxz/+MSZOnIjXXnsN+/btw1dffQUA+Oyzz3Ds2DG8+eabuO666zBr1iz86U9/wksvvYS2tjZ7NZk8XEFBAcrKyqzuF0URpaWlKCgocGCryFVcFW0MMKfYA0PkEHYLMEuXLsWcOXOQnp5utv3QoUNob2832z5q1CgkJCSgsLAQAFBYWIhx48YhOjradMzMmTOh0+lw9OhRi+/X2toKnU5n9iDqj4qKClmPI88yIioYgDHADHYmkk6ngyAIEAQBn3zyCXv9iCywS4B5++238c0332Dt2rU99lVWVsLX1xehoaFm26Ojo1FZWWk6pmt4kfZL+yxZu3Yt1Gq16aHVamW4EvIksbGxsh5HniUpIhA+KgFNbXqcrxv4TCRpELlk9uzZHEROZIHsAaa0tBTLly/H5s2b4e/vL/fprVq9ejXq6upMj9LSUoe9N7mHtLQ0aDQaoNsqwRJBEKDVapGWlubglpEr8FZ5mQranawa2G0kDiInsp3sAebQoUOorq7G9ddfD29vb3h7e2PPnj3YuHEjvL29ER0djba2NtTW1pq9rqqqCjExMQCAmJiYHrOSpOfSMd35+fkhJCTE7EHUHyqVChs2bIClki9CZ6jJycnhgntk1YjogU+l5iByov6RPcBMnz4dR44cQVFRkekxadIkZGVlmf7bx8cHO3fuNL2muLgY586dQ2pqKgAgNTUVR44cQXV1temYHTt2ICQkxKxrlUhuGRkZuO6+p6AKNl86QKPRIDc312y2HFF3V2Yi9b8HhoPIifpH9uV1g4ODcc0115htCwoKQkREhGn7okWLsGLFCoSHhyMkJAQPPPAAUlNTcdNNNwEAZsyYgTFjxuCee+7BunXrUFlZicceewxLly6Fn5+f3E0mMrnY0IrLURMQf/8/sPEWfzTVXkJsbCzS0tLY80J9GhVjHMhbXNn/HhgOIifqH9kDjC3++te/wsvLC/Pnz0draytmzpyJ//u//zPtV6lU2LZtG377298iNTUVQUFBWLhwIZ566iklmkseZN/pSwCA0XGhmDtrqsKtIVczKsZ46/pEVT069AZ4q2zv5OYgcqL+EURLN1zdgE6ng1qtRl1dHcfDkM0eee8w3j5Qil9PScZjP+XtSuofg0HE2D9+iuZ2PT5f8SOM6LylZAu9Xo+kpCSUl5dbHAcjCAI0Gg1KSkrYG0huzdbf31wLiaiLvacvAgAmj4js40iinry8BIzsvI30fWX/alGZBpHjyqBxCQeRE/XEAEPU6dylJpTWNMPbS8CNyeFKN4dc1OjYzgBT0f9xMBkZGcjNzUV8fLzZdg4iJ+pJkTEwRM5I6n2ZkBCKID9+NWhgpHEw/e2BkWRkZGDu3LkoKChARUUFB5ETWcGf0kSd9p4yBpibh/P2EQ2cNBPp+AB6YCQqlQrTpk2TqUVE7om3kIhgHHxZ2DkDieNfaDCkHpjy2mboWtoVbg2R+2KAIQLwfWU9LjW2IcBHheu0oUo3h1yYOtAHsWrjMionBlAPhohswwBDBGBf5/iXlGHh8PXm14IGR7qNdKxiYONgiKhv/ElNhCvjXyZz/AvJ4Jp4NQDgu/I6hVtC5L4YYMjjtXUYsL+kBgBw84gIhVtD7mBsnBRg2ANDZC8MMOTxvi2rRVObHuFBvhgdw6rNNHjXxF9ZUqC1g6tHE9kDAwx5POn2UerwCHh5CX0cTdS3+NAAhAX6oMMgDmhhRyLqGwMMebx9pzqnT3P8C8lEEIQu42B4G4nIHljIjjySXq9HQUEBSs6VYW9BGbzjx2Ayx7+QjMbGqVFw8iK+O8+BvET2wABDHicvLw8PPvggysvLTdt81UNxMOVlJM6fr2DLyJ2M40wkIrviLSTyKHl5ecjMzDQLLwDQVncRd9xxB/Ly8hRqGbkbaSDv9xX1aNcbFG4NkfthgCGPodfrsXz5coiiaGGvcVt2djb0es4aocFLCA9EsL832vQGDuQlsgMGGPIYBQUFKCsrs7pfFEWUlpaioKDAga0idyUIAiYkhAEADp29rHBriNwPAwx5jIqKClmPI+rLpERjgDnIAEMkOwYY8hixsbGyHkfUl4mdAeYbBhgi2THAkMdIS0uDRqOBIFguVicIArRaLdLS0hzcMnJX12lD4SUA5bXNqKhrVro5RG6FAYY8hkqlwoYNGwCgR4iRnufk5EClUjm8beSegvy8MTrWOBtJznEwer0eu3fvxltvvYXdu3dz4Dl5JAYY8igZGRnIzc1F2NAYs+0ajQa5ubnIyMhQqGXkrkzjYM7IE2Dy8vKQmJiIW265BXfddRduueUWJCUlsQQAeRwWsiOPk5GRgZ3NCXjvPzuQnuiLX8+ciLS0NPa8kF1MTArHG4VnZemBkeoYdS8FUF5ejszMTIZw8ijsgSGPI4oi9pdchn/CeDyw+JeYNm0awwvZjTSQ91iFDk1tHQM+T291jKRtrGNEnoQBhjxOcVU9Lja0IcBHZarTQWQv8aEBiFX7Q28QUVRaO+DzsI4RkTkGGPI4eztXn74hORy+3vwKkP1dL8N0atYxIjLHn97kcfaeuggAmDycq0+TY8hR0I51jIjMMcCQR2lq68BXPxh7YCaPiFS4NeQpuha0MxgsrcXVN9YxIjLHAEMeZcexKjS16ZEYEYixcSFKN4c8xOjYEAT4qKBr6cCpCw0DOgfrGBGZY4Ahj/L+f8sBAHOvi7f6lyyR3HxUXrhOGwpgcPVgpDpG8fHxZttZx4g8EevAkMe4UN+KgpPG8S/zrotTuDXkaSYmhqHwh0s4eKYGd6UkDPg8GRkZmDt3LgoKClBRUYHY2FjWMSKPxABDHmPb4fPQG0Rcqw3FsKFDlG4OeZibhkXgxV2nUHDqIgwGEV5eA+8BVKlUmDZtmnyNI3JBvIVEHmNr5+2j29n7Qgq4ITkMgb4qXKhvxbEKndLNIXJ5DDDkEX640IBvy+qg8hLw02sZYMjx/LxVpplvu4urFW4NketjgCGPsLXoPAAg7apIRA7xU7g15KmmjRwKANhVfEHhlhC5PtkDzNq1a3HDDTcgODgYUVFRmDdvHoqLi82OaWlpwdKlSxEREYEhQ4Zg/vz5qKqqMjvm3LlzmDNnDgIDAxEVFYWVK1eio2Pg64iQ5xJF8crtownxfRxNZD/TRkYBAP577jJqm9oUbg2Ra5M9wOzZswdLly7FV199hR07dqC9vR0zZsxAY2Oj6ZiHHnoIH330Ed59913s2bMH58+fN5v+p9frMWfOHLS1tWHfvn1444038Prrr2PNmjVyN5c8wDfnanGupgmBvir8ZEy00s0hDxYfGoCro4fAIAL5nTPiiGhgBNHS0qYyunDhAqKiorBnzx5MnToVdXV1GDp0KLZs2YLMzEwAwPfff4/Ro0ejsLAQN910Ez755BP89Kc/xfnz5xEdbfyFs2nTJqxatQoXLlyAr69vn++r0+mgVqtRV1eHkBAWLPNkD7/7LXIPlSFjQjzW/+I6pZtDHm7tx8fxt/wfkHF9PNb//Dqlm0PkdGz9/W33MTB1dXUAgPDwcADAoUOH0N7ejvT0dNMxo0aNQkJCAgoLCwEAhYWFGDdunCm8AMDMmTOh0+lw9OhRezeZ3IBer8fu3bvxymv/xNsfbIdo0OOe1ESlm0Vkuo20p/jCgJcVICI714ExGAzIzs7G5MmTcc011wAAKisr4evri9DQULNjo6OjUVlZaTqma3iR9kv7LGltbUVra6vpuU7HaYqeKi8vD8uXL0dZWZlpm3/oUJTctAkTEliplJQ1KSkMQ/y8camxDUfK63BtZ4VeIuofu/bALF26FN999x3efvtte74NAOPgYbVabXpotVq7vyc5n7y8PGRmZpqFFwBoqbuIzMxM5OXlKdQyIiMflRemmKZTczYS0UDZLcAsW7YM27Ztw65du6DRaEzbY2Ji0NbWhtraWrPjq6qqEBMTYzqm+6wk6bl0THerV69GXV2d6VFaWirj1ZAr0Ov1WL58OSwO6+rclp2dDb1e7+CWEZm7ZZQ0nZr1YIgGSvYAI4oili1bhvfffx9ffPEFkpOTzfZPnDgRPj4+2Llzp2lbcXExzp07h9TUVABAamoqjhw5gurqK1/uHTt2ICQkBGPGjLH4vn5+fggJCTF7kGcpKCjo0fPSlSiKKC0tRUFBgQNbRdTTj642joP5tqwWlxpa+ziaiCyRfQzM0qVLsWXLFnzwwQcIDg42jVlRq9UICAiAWq3GokWLsGLFCoSHhyMkJAQPPPAAUlNTcdNNNwEAZsyYgTFjxuCee+7BunXrUFlZicceewxLly6Fnx+LkJFlFRUVsh5HZC8xan9cEx+C78p1+PhIBe5JTZLt3Hq9ngs9kkeQvQfm5ZdfRl1dHaZNm4bY2FjT49///rfpmL/+9a/46U9/ivnz52Pq1KmIiYkxG5ugUqmwbds2qFQqpKam4u6778a9996Lp556Su7mkhuJjY2V9Tgie7p9gvHWeu435bKdMy8vD0lJSbjllltw11134ZZbbkFSUhLHfpFbsnsdGKWwDozn0ev1SEpKQnl5ucVxMIIgQKPRoKSkhH+RkuIuNrTipmd2osMg4vMVP8KIqMGtkC4NYO/+/31BMK56nZuba1YwlMhZOU0dGCJHUalU2LBhg9XwAgA5OTkML+QUIof4mdZGeu8b62O3bNHbAHaRA9jJTTHAkFtJmnQLhs57FKrgSLPtGo2Gf4GS05l/vfE20vvflEM/iKJ2HMBOnsiuheyIHEkURTz7yfcIHHkz7lkwH7dF6ziQkZzaj0dHQR3gg0pdC/advoi0q4YO6DwcwE6eiAGG3MbuExewv6QGvt5e+P3M0YgLDVC6SUS98vNW4WfXxuFfX53Fe4fKBhxgOICdPBEDDLmsrtNFo6JjsK7IuP2XNycxvJDLmD9Rg399dRbbj1aivqUdwf4+/T5HWloaNBpNnwPY09LS5GgykVPgGBhySd2ni6ZP/zF2PvFzGEq+wu+mDVe6eUQ2u1ajxvChQWhpN+DjIwO7xSMNYAeuDFiXcAA7uSsGGHI51tY70tdfROk7T+OL7dsUahlR/wmCgPkTjYN53/zqnOWlMGyQkZGB3NxcxMfHm23vPoBdWqn9rbfewu7duzkziVwW68CQS5FqvVibccFaL+SKLjW0Ysqzu9Dcrsdr992AW0ZGDfhcvVXitbRSu0ajwYYNGzhDj5wG68CQW+J0UXJHEUP8cE9qIgBgw+cnB9wLAxhvJ02bNg133nknpk2bZhZeLPVclpeXc6V2ckkMMORSOF2U3NXitGHw9/FCUWktCk5elPXcLHRH7ogBhlwKp4uSuxoa7IeslM5emJ2D64Xpjj2X5I4YYMilpKWlIa7bIMWuBEGAVqvldFFySb+ZOgy+3l44dPYy9p2+JNt52XNJ7ogBhlzKpcZ2RKb/xuI+ThclVxcV4o+7bkwAYOyFkQt7LskdMcCQyyi73IQ7/laIupjrMeKuNYiJ7X26KJEruv9Hw+Gr8sLXJTXYcaxKlnNKhe6614iRsOeSXBEr8fZDb9MTPZU9/026nhuBodj4nQoV9e3Qhgdg88pViA9dw8+D3E6M2h/3TUnC3/b8gEffP4IbksIQGug7qHNKhe4yMzMhCILZ+Br2XJLLEt1UXV2dCECsq6uT5XzvvfeeqNFoRACmh0ajEd977z1Zzu/MOjo6xF27dolbtmwRd+3aJXZ0dIiiOPh/E2vntXZuVXCkeM3CJ8XztU12uU4iZ9Hc1iH++PldYuKqbeKDb30j23ktfa+0Wq1H/Bwj12Hr728WsrOBVD+h+z+V9JeLM9y2sFdPiLXCV3feeSeef/75Pv9NrLWrt4JaACz+e0vnd4Z/byJ7KyqtRcb/7YVBBDbdfT1uvUae8SnsSSZnZ+vvbwaYPshZ+dXRIUOqrtnX+/YWMqwFid5I/ybr16/HQw891K/wI4oiIiIicOmS5RkYrLRLnuS5T7/HS7tOIyLIF589NBURQ/zs/p4MOKQ0m39/27UfSEFy3ULatWuXWXertYd0C6Q/t0S63m7p7bW97X/vvfdEQRB6tEcQBFEQBHHlypW9vq+1dr3zzjs9tjvTY9euXYP6XIlcQUt7hzhj/R4xcdU2ceGr+8W2Dr1d38+Tb5WT87D19zcDTB+2bNli0y/U7Oxsq198ZwsZXd/XWruUDih9PbZs2SLH/02InN6Rslrx6v/52DQeRq832OV9+vo5xRBDjsIxMDLdQtq9ezduueWWAb5aACAiIFiN5vq6/r2ycyzJww8/3OvtlsFQqVQuWzp8165dmDZtmtLNIHKIXd9XY/E/D6LDICIrJQF/nneN1SnRA2HrrfJTp05h3759vL1EdsUxMDKPgSkvL7ceGAQvQDQM+D16Zc9zuyCOgSFP9dG35/Hg2/+FKAK/+dEwPHLrKNlCjK1/qA0dOhQXLlwwPedK1mQPXI1aJlL9BAA9fliYntszYHhYeBEEARERERAEweq/N+tVkCe67do4PHP7OADA3/b8gAffLkJ9S7ss57Z1CYGu4QXgStakLAYYG2RkZCA3Nxfx8T0rv2ZnZyvTKCcQcmMGVMGRZttUwZGInPsIfEIirbzqCmsB5ZVXXrH6780p1OTJ7rwxAX+aOxbeXgI++vY8fvrClzhS1r/b05YMdAkBkStZk4J4C6kfLE0vLCgoGMQYGfkMZEyMSqWCwWCwWm8lOjYOK9c8jXVPPoqqivOmfdGx8ch+/GlMnTEHHR16FB0oxIWqSoQPjcaPpk7FsKhgfLF9GzIzMwHAYtXPhx9+GG+99ZbZPXetVoucnBxTQOF0TiLLDp29jAff+i/Ka5vhoxLw4I+vwq+mJCPIb2DF1W26Vd4Hpcel8eeF++A0apkr8VrT0dEhajQaqzN3BEEQIyIiTCP5LR3T20OlUvV6bq1WK7777rsWq2tKs4y6v777LCRr+22d4m1NX1U/B3peIhLF2sY2cfEbB8TEVdvExFXbxAlPfSZu2n1KbGxtH9D5pFlIA52FaMvMQHt955Wc/s2fY/LjNGoHBRhRtP7F7xoErP0yt3fI6CtE2Lu0OL/cRPZjMBjErf8tE6c9t8sUZK578lPxoX//V/ygqFysaWjt1/ks/TwYOnSoTQHG3rWwemuzvad/22s5lYG+r7tjgHFggBFF24KAUiFjoEXyiMg1tHfoxXcPloppz35hCjKJq7aJSY9sE+e++KW4/rNi8dDZGrHDhhoy3X8etLa29tnLbK0nWK5aWL21tbdaWFLbWltbB/wzzlpI6a2Olr16sLv/m/R2blf+uc86MHYYA9OXwdyDHWi5fyIiSbvegAMlNdhz4gL2nLiA7yvrzfYH+3kjISIQmrAAxIca/1cTFoD4sADEqQMwxN8bPqqeczukZUUAWB3TNtDlQayxZV01W8cg9jX929HLqfQ19dyW9fcA9LqeXG/Ly/S1/Exv/yZ97ZMD68AoEGCIiJxJZV0L9pyoxp4TF1Bw8iLqWzr6fI2PSkCgrzcCfVWdD+N/XziSj6/fWo/GmmrTsaFDY/GLZf+Dd1/6M2qqK2Vvf19BIDMzEzk5OQM6L9B7EFi/fj1WrFhhtbjfQHV977lz5/YIAgD6LCoYHh6OmpqafhU4tSVsSu0CBh6O5MAAwwBDRGTSoTfg1IUGlF9uRtnlZpTXNqPscpPxvy8341JjW5/nEA16tJYdhb7hMlRDwuCnGYvWsqOoeutRB1yB3AQEhqjRpKuD8Q6N+b6e22R8584QEhAQ0CMILF68GH/84x/t9t69VWAfbDiSq8wFAwwDDBGRzdo6DGhu06OxrQNNbXo0df/fVuN/N7bp0dymN+0r2v0ffPqiggGG1cqdgpxV0m39/T2wogFERORWfL294OvtBXWgT79etzuiBp++aKdG2UIKL4IAuOff4y5BFEWUlpaioKDAYfWAWImXiIgGLC0tDRqNxuq6TL0tDyKX7OxsaLpV7h46dKhd3qs7q0vMeChbl6WQAwMMERENmC3rxVlbHkSr1WLlypW9rn1mi7lz5+LMmTPYtWsXtmzZgl27dqGsrKzXYNUfltomCAJWrlxpccmTd955R5b3tvZvIgXCgVCpVHYNWQNdlmJA7DGH2xk4ug4MEZEns0ctrHfeecemGjTWapj0VmQUgKlKem/ntlbp3JYiooOpbPzkk09afd++rqv7f0vP+yqO2te/SW+Pvj6L/nCLQnYvvviimJiYKPr5+Yk33nijuH//fptfywBDRORYgymO1t8gYGul3d6Cla3nlrsYnS3BqaOjo9+Vjbte10CLow4mHMlVgdjlA8zbb78t+vr6iq+++qp49OhRcfHixWJoaKhYVVVl0+sZYIiI3IM9q5ErsZzKYEOZLdc1mEq8gwlHcnD5SrwpKSm44YYb8OKLxuHtBoMBWq0WDzzwAB555JE+X89p1ERE7sOe1V+VqHRuqRquVqtFTk6ObAXhBoOVeAeora0NgYGByM3Nxbx580zbFy5ciNraWnzwwQc9XtPa2orW1lbTc51OB61WywBDREROiUvEWObSdWAuXrwIvV6P6Ohos+3R0dH4/vvvLb5m7dq1ePLJJx3RPCIiokFTqVQOq5nijtxmGvXq1atRV1dnepSWlirdJCIiIrITp+yBiYyMhEqlQlVVldn2qqoqxMTEWHyNn58f/Pz8HNE8IiIiUphT9sD4+vpi4sSJ2Llzp2mbwWDAzp07kZqaqmDLiIiIyBk4ZQ8MAKxYsQILFy7EpEmTcOONNyInJweNjY247777lG4aERERKcxpA8wvfvELXLhwAWvWrEFlZSWuu+46bN++vcfAXiIiIvI8TjmNWg6sA0NEROR6bP397ZRjYIiIiIh6wwBDRERELocBhoiIiFwOAwwRERG5HKedhTRY0thknU6ncEuIiIjIVtLv7b7mGLltgKmvrwdgXN2TiIiIXEt9fT3UarXV/W47jdpgMOD8+fMIDg6GIAiDOpe0snVpaanbTsnmNboPT7hOXqN78IRrBDzjOuW8RlEUUV9fj7i4OHh5WR/p4rY9MF5eXtBoNLKeMyQkxG3/zyfhNboPT7hOXqN78IRrBDzjOuW6xt56XiQcxEtEREQuhwGGiIiIXA4DjA38/Pzwxz/+EX5+fko3xW54je7DE66T1+gePOEaAc+4TiWu0W0H8RIREZH7Yg8MERERuRwGGCIiInI5DDBERETkchhgiIiIyOUwwFjxl7/8BYIgIDs727StpaUFS5cuRUREBIYMGYL58+ejqqpKuUYOkqVrnDZtGgRBMHvcf//9yjVyAJ544oke1zBq1CjTfnf4HPu6Rnf4HAGgvLwcd999NyIiIhAQEIBx48bh4MGDpv2iKGLNmjWIjY1FQEAA0tPTcfLkSQVb3H99XeMvf/nLHp/lrbfeqmCL+y8pKanHNQiCgKVLlwJwj+9kX9foDt9JvV6Pxx9/HMnJyQgICMDw4cPxpz/9yWzNIkd+J922Eu9gHDhwAH/7298wfvx4s+0PPfQQ/vOf/+Ddd9+FWq3GsmXLkJGRgb179yrU0oGzdo0AsHjxYjz11FOm54GBgY5smizGjh2Lzz//3PTc2/vK/9Xd5XPs7RoB1/8cL1++jMmTJ+OWW27BJ598gqFDh+LkyZMICwszHbNu3Tps3LgRb7zxBpKTk/H4449j5syZOHbsGPz9/RVsvW1suUYAuPXWW/Haa6+ZnrvadNwDBw5Ar9ebnn/33Xf4yU9+gjvuuAOAe3wn+7pGwPW/k88++yxefvllvPHGGxg7diwOHjyI++67D2q1Gg8++CAAB38nRTJTX18vXnXVVeKOHTvEH/3oR+Ly5ctFURTF2tpa0cfHR3z33XdNxx4/flwEIBYWFirU2oGxdo2iKPZ47or++Mc/itdee63Ffe7yOfZ2jaLoHp/jqlWrxClTpljdbzAYxJiYGPG5554zbautrRX9/PzEt956yxFNHLS+rlEURXHhwoXi3LlzHdMgB1m+fLk4fPhw0WAwuM13sruu1yiK7vGdnDNnjvirX/3KbFtGRoaYlZUliqLjv5O8hdTN0qVLMWfOHKSnp5ttP3ToENrb2822jxo1CgkJCSgsLHR0MwfF2jVKNm/ejMjISFxzzTVYvXo1mpqaHNzCwTt58iTi4uIwbNgwZGVl4dy5cwDc63O0do0SV/8cP/zwQ0yaNAl33HEHoqKiMGHCBPz973837S8pKUFlZaXZZ6lWq5GSkuIyn2Vf1yjZvXs3oqKiMHLkSPz2t7/FpUuXFGitPNra2vDmm2/iV7/6FQRBcKvvpKT7NUpc/Tt58803Y+fOnThx4gQA4Ntvv8WXX36JWbNmAXD8d5K3kLp4++238c033+DAgQM99lVWVsLX1xehoaFm26Ojo1FZWemgFg5eb9cIAHfddRcSExMRFxeHw4cPY9WqVSguLkZeXp6DWzpwKSkpeP311zFy5EhUVFTgySefRFpaGr777ju3+Rx7u8bg4GC3+Bx/+OEHvPzyy1ixYgUeffRRHDhwAA8++CB8fX2xcOFC0+cVHR1t9jpX+iz7ukbAePsoIyMDycnJOH36NB599FHMmjULhYWFUKlUCl9B/23duhW1tbX45S9/CcB9frZ21f0aAff42frII49Ap9Nh1KhRUKlU0Ov1ePrpp5GVlQUADv9OMsB0Ki0txfLly7Fjxw6XuHc+ELZc45IlS0z/PW7cOMTGxmL69Ok4ffo0hg8f7qimDor01wAAjB8/HikpKUhMTMQ777yDgIAABVsmn96ucdGiRW7xORoMBkyaNAnPPPMMAGDChAn47rvvsGnTJtMvd1dnyzUuWLDAdPy4ceMwfvx4DB8+HLt378b06dMVafdg/OMf/8CsWbMQFxendFPsxtI1usN38p133sHmzZuxZcsWjB07FkVFRcjOzkZcXJwi30neQup06NAhVFdX4/rrr4e3tze8vb2xZ88ebNy4Ed7e3oiOjkZbWxtqa2vNXldVVYWYmBhlGt1PfV1j1wFokpSUFADAqVOnHN1c2YSGhuLqq6/GqVOnEBMT4/KfoyVdr9ESV/wcY2NjMWbMGLNto0ePNt0qkz6v7rNVXOmz7OsaLRk2bBgiIyNd6rOUnD17Fp9//jl+/etfm7a523fS0jVa4orfyZUrV+KRRx7BggULMG7cONxzzz146KGHsHbtWgCO/04ywHSaPn06jhw5gqKiItNj0qRJyMrKMv23j48Pdu7caXpNcXExzp07h9TUVAVbbru+rtFSd3RRUREA4w9aV9XQ0IDTp08jNjYWEydOdPnP0ZKu12iJK36OkydPRnFxsdm2EydOIDExEQCQnJyMmJgYs89Sp9Nh//79LvNZ9nWNlpSVleHSpUsu9VlKXnvtNURFRWHOnDmmbe72nbR0jZa44neyqakJXl7msUGlUsFgMABQ4Dsp+7BgN9J91Pj9998vJiQkiF988YV48OBBMTU1VUxNTVWugTLoeo2nTp0Sn3rqKfHgwYNiSUmJ+MEHH4jDhg0Tp06dqmwj++n3v/+9uHv3brGkpETcu3evmJ6eLkZGRorV1dWiKLrH59jbNbrL5/j111+L3t7e4tNPPy2ePHlS3Lx5sxgYGCi++eabpmP+8pe/iKGhoeIHH3wgHj58WJw7d66YnJwsNjc3K9hy2/V1jfX19eLDDz8sFhYWiiUlJeLnn38uXn/99eJVV10ltrS0KNz6/tHr9WJCQoK4atWqHvvc4Tspitav0V2+kwsXLhTj4+PFbdu2iSUlJWJeXp4YGRkp/uEPfzAd48jvJANML7oHmObmZvF3v/udGBYWJgYGBoq33367WFFRoVwDZdD1Gs+dOydOnTpVDA8PF/38/MQRI0aIK1euFOvq6pRtZD/94he/EGNjY0VfX18xPj5e/MUvfiGeOnXKtN8dPsfertFdPkdRFMWPPvpIvOaaa0Q/Pz9x1KhR4iuvvGK232AwiI8//rgYHR0t+vn5idOnTxeLi4sVau3A9HaNTU1N4owZM8ShQ4eKPj4+YmJiorh48WKxsrJSwRYPzKeffioCsPj5uMN3UhStX6O7fCd1Op24fPlyMSEhQfT39xeHDRsm/s///I/Y2tpqOsaR30lBFLuU0CMiIiJyARwDQ0RERC6HAYaIiIhcDgMMERERuRwGGCIiInI5DDBERETkchhgiIiIyOUwwBAREZHLYYAhIiIil8MAQ0RERC6HAYaIiIhcDgMMERERuRwGGCIiInI5/x/q9JydUiu9cwAAAABJRU5ErkJggg==", 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", 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" ] @@ -2631,7 +2803,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 125, "id": "264a9891-423c-479a-8906-c048aac2fd2e", "metadata": {}, "outputs": [ @@ -2643,11 +2815,11 @@ " Migrad \n", " \n", " \n", - " FCN = 75.44 (χ²/ndof = 1.3) \n", - " Nfcn = 268 \n", + " FCN = 133.6 (χ²/ndof = 1.1) \n", + " Nfcn = 232 \n", " \n", " \n", - " EDM = 1.88e-06 (Goal: 0.0002) \n", + " EDM = 3.64e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2680,8 +2852,8 @@ " \n", " 0 \n", " A_p1 \n", - " 710 \n", - " 13 \n", + " 345 \n", + " 6 \n", " \n", " \n", " \n", @@ -2691,8 +2863,8 @@ " \n", " 1 \n", " A_p2 \n", - " 1.162e3 \n", - " 0.014e3 \n", + " 572 \n", + " 7 \n", " \n", " \n", " \n", @@ -2702,7 +2874,7 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.49 \n", + " 53.47 \n", " 0.04 \n", " \n", " \n", @@ -2713,8 +2885,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.615 \n", - " 0.031 \n", + " 60.652 \n", + " 0.032 \n", " \n", " \n", " \n", @@ -2724,8 +2896,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 2.034 \n", - " 0.033 \n", + " 2.138 \n", + " 0.034 \n", " \n", " \n", " \n", @@ -2735,7 +2907,7 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.671 \n", + " 2.710 \n", " 0.027 \n", " \n", " \n", @@ -2746,8 +2918,8 @@ " \n", " 6 \n", " A_bkg \n", - " 221 \n", - " 25 \n", + " 108 \n", + " 12 \n", " \n", " \n", " \n", @@ -2757,8 +2929,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 41.0 \n", - " 3.1 \n", + " 39.9 \n", + " 3.0 \n", " \n", " \n", " 0 \n", @@ -2782,7 +2954,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0e-3 \n", + " 0.000 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2791,11 +2963,11 @@ " \n", " A_p2 \n", " 0 \n", - " 206 \n", + " 50 \n", " 0 \n", - " 5.0e-3 (0.011) \n", + " 0.0065 (0.029) \n", " 0 \n", - " -223.8e-3 (-0.587) \n", + " -112.0e-3 (-0.586) \n", " 0 \n", " 0 \n", " \n", @@ -2804,7 +2976,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0e-3 \n", + " 0.000 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2812,21 +2984,21 @@ " \n", " \n", " mu_p2 \n", - " 0e-3 \n", - " 5.0e-3 (0.011) \n", - " 0e-3 \n", - " 0.000981 \n", - " 0e-3 \n", - " -0.1e-3 (-0.181) \n", - " 0e-3 \n", - " 0e-3 \n", + " 0.000 \n", + " 0.0065 (0.029) \n", + " 0.000 \n", + " 0.00103 \n", + " 0.000 \n", + " -0.2e-3 (-0.217) \n", + " 0.000 \n", + " 0.000 \n", " \n", " \n", " sigma_p1 \n", " 0 \n", " 0 \n", " 0 \n", - " 0e-3 \n", + " 0.000 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2835,11 +3007,11 @@ " \n", " sigma_p2 \n", " 0 \n", - " -223.8e-3 (-0.587) \n", + " -112.0e-3 (-0.586) \n", " 0 \n", - " -0.1e-3 (-0.181) \n", + " -0.2e-3 (-0.217) \n", " 0 \n", - " 0.000704 \n", + " 0.00073 \n", " 0 \n", " 0 \n", " \n", @@ -2848,7 +3020,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0e-3 \n", + " 0.000 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2859,7 +3031,7 @@ " 0 \n", " 0 \n", " 0 \n", - " 0e-3 \n", + " 0.000 \n", " 0 \n", " 0 \n", " 0 \n", @@ -2871,8 +3043,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 75.44 (χ²/ndof = 1.3) │ Nfcn = 268 │\n", - "│ EDM = 1.88e-06 (Goal: 0.0002) │ │\n", + "│ FCN = 133.6 (χ²/ndof = 1.1) │ Nfcn = 232 │\n", + "│ EDM = 3.64e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -2883,36 +3055,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 710 │ 13 │ │ │ │ │ yes │\n", - "│ 1 │ A_p2 │ 1.162e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.49 │ 0.04 │ │ │ │ │ yes │\n", - "│ 3 │ mu_p2 │ 60.615 │ 0.031 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 2.034 │ 0.033 │ │ │ │ │ yes │\n", - "│ 5 │ sigma_p2 │ 2.671 │ 0.027 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 221 │ 25 │ │ │ │ │ yes │\n", - "│ 7 │ tau_bkg │ 41.0 │ 3.1 │ │ │ 0 │ │ yes │\n", + "│ 0 │ A_p1 │ 345 │ 6 │ │ │ │ │ yes │\n", + "│ 1 │ A_p2 │ 572 │ 7 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.47 │ 0.04 │ │ │ │ │ yes │\n", + "│ 3 │ mu_p2 │ 60.652 │ 0.032 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.138 │ 0.034 │ │ │ │ │ yes │\n", + "│ 5 │ sigma_p2 │ 2.710 │ 0.027 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 108 │ 12 │ │ │ │ │ yes │\n", + "│ 7 │ tau_bkg │ 39.9 │ 3.0 │ │ │ 0 │ │ yes │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 0 0 0 0e-3 0 0 0 0 │\n", - "│ A_p2 │ 0 206 0 5.0e-3 0 -223.8e-3 0 0 │\n", - "│ mu_p1 │ 0 0 0 0e-3 0 0 0 0 │\n", - "│ mu_p2 │ 0e-3 5.0e-3 0e-3 0.000981 0e-3 -0.1e-3 0e-3 0e-3 │\n", - "│ sigma_p1 │ 0 0 0 0e-3 0 0 0 0 │\n", - "│ sigma_p2 │ 0 -223.8e-3 0 -0.1e-3 0 0.000704 0 0 │\n", - "│ A_bkg │ 0 0 0 0e-3 0 0 0 0 │\n", - "│ tau_bkg │ 0 0 0 0e-3 0 0 0 0 │\n", + "│ A_p1 │ 0 0 0 0.000 0 0 0 0 │\n", + "│ A_p2 │ 0 50 0 0.0065 0 -112.0e-3 0 0 │\n", + "│ mu_p1 │ 0 0 0 0.000 0 0 0 0 │\n", + "│ mu_p2 │ 0.000 0.0065 0.000 0.00103 0.000 -0.2e-3 0.000 0.000 │\n", + "│ sigma_p1 │ 0 0 0 0.000 0 0 0 0 │\n", + "│ sigma_p2 │ 0 -112.0e-3 0 -0.2e-3 0 0.00073 0 0 │\n", + "│ A_bkg │ 0 0 0 0.000 0 0 0 0 │\n", + "│ tau_bkg │ 0 0 0 0.000 0 0 0 0 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 85, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -2937,7 +3109,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 126, "id": "72d43004-cd80-418a-996a-f1e7a7133ce9", "metadata": {}, "outputs": [ @@ -2949,11 +3121,11 @@ " Migrad \n", " \n", " \n", - " FCN = 46.04 (χ²/ndof = 0.9) \n", - " Nfcn = 563 \n", + " FCN = 110.2 (χ²/ndof = 1.0) \n", + " Nfcn = 490 \n", " \n", " \n", - " EDM = 2.48e-06 (Goal: 0.0002) \n", + " EDM = 7.62e-06 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -2986,8 +3158,8 @@ " \n", " 0 \n", " A_p1 \n", - " 649 \n", - " 14 \n", + " 314 \n", + " 7 \n", " \n", " \n", " \n", @@ -2997,8 +3169,8 @@ " \n", " 1 \n", " A_p2 \n", - " 1.154e3 \n", - " 0.014e3 \n", + " 568 \n", + " 7 \n", " \n", " \n", " \n", @@ -3008,8 +3180,8 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.25 \n", - " 0.06 \n", + " 53.27 \n", + " 0.08 \n", " \n", " \n", " \n", @@ -3019,8 +3191,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.46 \n", - " 0.05 \n", + " 60.53 \n", + " 0.06 \n", " \n", " \n", " \n", @@ -3030,8 +3202,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 1.95 \n", - " 0.05 \n", + " 2.13 \n", + " 0.06 \n", " \n", " \n", " \n", @@ -3041,7 +3213,7 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.79 \n", + " 2.81 \n", " 0.04 \n", " \n", " \n", @@ -3052,8 +3224,8 @@ " \n", " 6 \n", " A_bkg \n", - " 247 \n", - " 24 \n", + " 109 \n", + " 12 \n", " \n", " \n", " \n", @@ -3063,8 +3235,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 38.4 \n", - " 2.5 \n", + " 39.7 \n", + " 2.8 \n", " \n", " \n", " 0 \n", @@ -3085,91 +3257,91 @@ " \n", " \n", " A_p1 \n", - " 209 \n", - " 0.03e3 (0.146) \n", - " 0.181 (0.195) \n", - " 0.1766 (0.248) \n", - " -0.1726 (-0.241) \n", - " -0.1778 (-0.310) \n", - " -0.01e3 (-0.030) \n", - " 1 (0.030) \n", + " 48.4 \n", + " 10 (0.147) \n", + " 0.138 (0.254) \n", + " 0.1230 (0.316) \n", + " -0.0575 (-0.144) \n", + " -0.1117 (-0.373) \n", + " -0 (-0.039) \n", + " 1 (0.040) \n", " \n", " \n", " A_p2 \n", - " 0.03e3 (0.146) \n", - " 201 \n", - " 0.049 (0.054) \n", - " 0.0705 (0.101) \n", - " -0.0074 (-0.010) \n", - " -0.2640 (-0.469) \n", - " -0.01e3 (-0.030) \n", - " 1 (0.027) \n", + " 10 (0.147) \n", + " 49.5 \n", + " 0.001 \n", + " 0.0227 (0.058) \n", + " -0.0262 (-0.065) \n", + " -0.1235 (-0.407) \n", + " -0 (-0.020) \n", + " 0 (0.018) \n", " \n", " \n", " mu_p1 \n", - " 0.181 (0.195) \n", - " 0.049 (0.054) \n", - " 0.00413 \n", - " 0.0021 (0.679) \n", - " 0.0019 (0.605) \n", - " -0.0016 (-0.628) \n", - " -0.061 (-0.039) \n", - " 0.010 (0.060) \n", + " 0.138 (0.254) \n", + " 0.001 \n", + " 0.00612 \n", + " 0.0033 (0.749) \n", + " 0.0031 (0.684) \n", + " -0.0023 (-0.684) \n", + " -0.057 (-0.064) \n", + " 0.018 (0.080) \n", " \n", " \n", " mu_p2 \n", - " 0.1766 (0.248) \n", - " 0.0705 (0.101) \n", - " 0.0021 (0.679) \n", - " 0.00242 \n", - " 0.0014 (0.581) \n", - " -0.0012 (-0.632) \n", - " -0.0656 (-0.055) \n", - " 0.0058 (0.046) \n", + " 0.1230 (0.316) \n", + " 0.0227 (0.058) \n", + " 0.0033 (0.749) \n", + " 0.00313 \n", + " 0.0021 (0.646) \n", + " -0.0017 (-0.696) \n", + " -0.0529 (-0.082) \n", + " 0.0118 (0.074) \n", " \n", " \n", " sigma_p1 \n", - " -0.1726 (-0.241) \n", - " -0.0074 (-0.010) \n", - " 0.0019 (0.605) \n", - " 0.0014 (0.581) \n", - " 0.00245 \n", - " -0.0009 (-0.473) \n", - " -0.2148 (-0.178) \n", - " 0.0178 (0.142) \n", + " -0.0575 (-0.144) \n", + " -0.0262 (-0.065) \n", + " 0.0031 (0.684) \n", + " 0.0021 (0.646) \n", + " 0.00331 \n", + " -0.0013 (-0.528) \n", + " -0.1336 (-0.203) \n", + " 0.0273 (0.167) \n", " \n", " \n", " sigma_p2 \n", - " -0.1778 (-0.310) \n", - " -0.2640 (-0.469) \n", - " -0.0016 (-0.628) \n", - " -0.0012 (-0.632) \n", - " -0.0009 (-0.473) \n", - " 0.00157 \n", - " 0.1254 (0.130) \n", - " -0.0171 (-0.170) \n", + " -0.1117 (-0.373) \n", + " -0.1235 (-0.407) \n", + " -0.0023 (-0.684) \n", + " -0.0017 (-0.696) \n", + " -0.0013 (-0.528) \n", + " 0.00186 \n", + " 0.0695 (0.141) \n", + " -0.0218 (-0.177) \n", " \n", " \n", " A_bkg \n", - " -0.01e3 (-0.030) \n", - " -0.01e3 (-0.030) \n", - " -0.061 (-0.039) \n", - " -0.0656 (-0.055) \n", - " -0.2148 (-0.178) \n", - " 0.1254 (0.130) \n", - " 593 \n", - " -59 (-0.965) \n", + " -0 (-0.039) \n", + " -0 (-0.020) \n", + " -0.057 (-0.064) \n", + " -0.0529 (-0.082) \n", + " -0.1336 (-0.203) \n", + " 0.0695 (0.141) \n", + " 131 \n", + " -32 (-0.966) \n", " \n", " \n", " tau_bkg \n", - " 1 (0.030) \n", - " 1 (0.027) \n", - " 0.010 (0.060) \n", - " 0.0058 (0.046) \n", - " 0.0178 (0.142) \n", - " -0.0171 (-0.170) \n", - " -59 (-0.965) \n", - " 6.37 \n", + " 1 (0.040) \n", + " 0 (0.018) \n", + " 0.018 (0.080) \n", + " 0.0118 (0.074) \n", + " 0.0273 (0.167) \n", + " -0.0218 (-0.177) \n", + " -32 (-0.966) \n", + " 8.11 \n", " \n", "" ], @@ -3177,8 +3349,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 46.04 (χ²/ndof = 0.9) │ Nfcn = 563 │\n", - "│ EDM = 2.48e-06 (Goal: 0.0002) │ │\n", + "│ FCN = 110.2 (χ²/ndof = 1.0) │ Nfcn = 490 │\n", + "│ EDM = 7.62e-06 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -3189,36 +3361,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 649 │ 14 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.154e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.25 │ 0.06 │ │ │ │ │ │\n", - "│ 3 │ mu_p2 │ 60.46 │ 0.05 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 1.95 │ 0.05 │ │ │ │ │ │\n", - "│ 5 │ sigma_p2 │ 2.79 │ 0.04 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 247 │ 24 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 38.4 │ 2.5 │ │ │ 0 │ │ │\n", + "│ 0 │ A_p1 │ 314 │ 7 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 568 │ 7 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.27 │ 0.08 │ │ │ │ │ │\n", + "│ 3 │ mu_p2 │ 60.53 │ 0.06 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.13 │ 0.06 │ │ │ │ │ │\n", + "│ 5 │ sigma_p2 │ 2.81 │ 0.04 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 109 │ 12 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 39.7 │ 2.8 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 209 0.03e3 0.181 0.1766 -0.1726 -0.1778 -0.01e3 1 │\n", - "│ A_p2 │ 0.03e3 201 0.049 0.0705 -0.0074 -0.2640 -0.01e3 1 │\n", - "│ mu_p1 │ 0.181 0.049 0.00413 0.0021 0.0019 -0.0016 -0.061 0.010 │\n", - "│ mu_p2 │ 0.1766 0.0705 0.0021 0.00242 0.0014 -0.0012 -0.0656 0.0058 │\n", - "│ sigma_p1 │ -0.1726 -0.0074 0.0019 0.0014 0.00245 -0.0009 -0.2148 0.0178 │\n", - "│ sigma_p2 │ -0.1778 -0.2640 -0.0016 -0.0012 -0.0009 0.00157 0.1254 -0.0171 │\n", - "│ A_bkg │ -0.01e3 -0.01e3 -0.061 -0.0656 -0.2148 0.1254 593 -59 │\n", - "│ tau_bkg │ 1 1 0.010 0.0058 0.0178 -0.0171 -59 6.37 │\n", + "│ A_p1 │ 48.4 10 0.138 0.1230 -0.0575 -0.1117 -0 1 │\n", + "│ A_p2 │ 10 49.5 0.001 0.0227 -0.0262 -0.1235 -0 0 │\n", + "│ mu_p1 │ 0.138 0.001 0.00612 0.0033 0.0031 -0.0023 -0.057 0.018 │\n", + "│ mu_p2 │ 0.1230 0.0227 0.0033 0.00313 0.0021 -0.0017 -0.0529 0.0118 │\n", + "│ sigma_p1 │ -0.0575 -0.0262 0.0031 0.0021 0.00331 -0.0013 -0.1336 0.0273 │\n", + "│ sigma_p2 │ -0.1117 -0.1235 -0.0023 -0.0017 -0.0013 0.00186 0.0695 -0.0218 │\n", + "│ A_bkg │ -0 -0 -0.057 -0.0529 -0.1336 0.0695 131 -32 │\n", + "│ tau_bkg │ 1 0 0.018 0.0118 0.0273 -0.0218 -32 8.11 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 86, + "execution_count": 126, "metadata": {}, "output_type": "execute_result" }, { "data": { - 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", 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", 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" ] @@ -3242,23 +3414,23 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 127, "id": "067fbf6f-14c4-4a46-afb3-71753d06af23", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 95, + "execution_count": 127, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -3290,7 +3462,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 128, "id": "2311f135-8410-4f35-8d58-b9bcef0fed53", "metadata": {}, "outputs": [ @@ -3302,11 +3474,11 @@ " Migrad \n", " \n", " \n", - " FCN = 46.04 (χ²/ndof = 0.9) \n", - " Nfcn = 563 \n", + " FCN = 110.2 (χ²/ndof = 1.0) \n", + " Nfcn = 536 \n", " \n", " \n", - " EDM = 2.48e-06 (Goal: 0.0002) \n", + " EDM = 3.81e-07 (Goal: 0.0002) \n", " \n", " \n", " \n", @@ -3339,8 +3511,8 @@ " \n", " 0 \n", " A_p1 \n", - " 649 \n", - " 14 \n", + " 314 \n", + " 7 \n", " \n", " \n", " \n", @@ -3350,8 +3522,8 @@ " \n", " 1 \n", " A_p2 \n", - " 1.154e3 \n", - " 0.014e3 \n", + " 568 \n", + " 7 \n", " \n", " \n", " \n", @@ -3361,8 +3533,8 @@ " \n", " 2 \n", " mu_p1 \n", - " 53.25 \n", - " 0.06 \n", + " 53.27 \n", + " 0.08 \n", " \n", " \n", " \n", @@ -3372,8 +3544,8 @@ " \n", " 3 \n", " mu_p2 \n", - " 60.46 \n", - " 0.05 \n", + " 60.53 \n", + " 0.06 \n", " \n", " \n", " \n", @@ -3383,8 +3555,8 @@ " \n", " 4 \n", " sigma_p1 \n", - " 1.95 \n", - " 0.05 \n", + " 2.13 \n", + " 0.06 \n", " \n", " \n", " \n", @@ -3394,7 +3566,7 @@ " \n", " 5 \n", " sigma_p2 \n", - " 2.79 \n", + " 2.81 \n", " 0.04 \n", " \n", " \n", @@ -3405,8 +3577,8 @@ " \n", " 6 \n", " A_bkg \n", - " 247 \n", - " 24 \n", + " 109 \n", + " 12 \n", " \n", " \n", " \n", @@ -3416,8 +3588,8 @@ " \n", " 7 \n", " tau_bkg \n", - " 38.4 \n", - " 2.5 \n", + " 39.7 \n", + " 2.8 \n", " \n", " \n", " 0 \n", @@ -3438,91 +3610,91 @@ " \n", " \n", " A_p1 \n", - " 209 \n", - " 0.03e3 (0.146) \n", - " 0.181 (0.195) \n", - " 0.1766 (0.248) \n", - " -0.1726 (-0.241) \n", - " -0.1778 (-0.310) \n", - " -0.01e3 (-0.030) \n", - " 1 (0.030) \n", + " 48.4 \n", + " 10 (0.147) \n", + " 0.138 (0.254) \n", + " 0.1230 (0.316) \n", + " -0.0575 (-0.144) \n", + " -0.1117 (-0.373) \n", + " -0 (-0.039) \n", + " 1 (0.040) \n", " \n", " \n", " A_p2 \n", - " 0.03e3 (0.146) \n", - " 201 \n", - " 0.049 (0.054) \n", - " 0.0705 (0.101) \n", - " -0.0074 (-0.010) \n", - " -0.2640 (-0.469) \n", - " -0.01e3 (-0.030) \n", - " 1 (0.027) \n", + " 10 (0.147) \n", + " 49.5 \n", + " 0.001 \n", + " 0.0227 (0.058) \n", + " -0.0262 (-0.065) \n", + " -0.1235 (-0.407) \n", + " -0 (-0.020) \n", + " 0 (0.018) \n", " \n", " \n", " mu_p1 \n", - " 0.181 (0.195) \n", - " 0.049 (0.054) \n", - " 0.00413 \n", - " 0.0021 (0.679) \n", - " 0.0019 (0.605) \n", - " -0.0016 (-0.628) \n", - " -0.061 (-0.039) \n", - " 0.010 (0.060) \n", + " 0.138 (0.254) \n", + " 0.001 \n", + " 0.00611 \n", + " 0.0033 (0.749) \n", + " 0.0031 (0.684) \n", + " -0.0023 (-0.684) \n", + " -0.057 (-0.064) \n", + " 0.018 (0.080) \n", " \n", " \n", " mu_p2 \n", - " 0.1766 (0.248) \n", - " 0.0705 (0.101) \n", - " 0.0021 (0.679) \n", - " 0.00242 \n", - " 0.0014 (0.581) \n", - " -0.0012 (-0.632) \n", - " -0.0656 (-0.055) \n", - " 0.0058 (0.046) \n", + " 0.1230 (0.316) \n", + " 0.0227 (0.058) \n", + " 0.0033 (0.749) \n", + " 0.00313 \n", + " 0.0021 (0.646) \n", + " -0.0017 (-0.696) \n", + " -0.0529 (-0.082) \n", + " 0.0118 (0.074) \n", " \n", " \n", " sigma_p1 \n", - " -0.1726 (-0.241) \n", - " -0.0074 (-0.010) \n", - " 0.0019 (0.605) \n", - " 0.0014 (0.581) \n", - " 0.00245 \n", - " -0.0009 (-0.473) \n", - " -0.2148 (-0.178) \n", - " 0.0178 (0.142) \n", + " -0.0575 (-0.144) \n", + " -0.0262 (-0.065) \n", + " 0.0031 (0.684) \n", + " 0.0021 (0.646) \n", + " 0.00331 \n", + " -0.0013 (-0.528) \n", + " -0.1338 (-0.203) \n", + " 0.0273 (0.167) \n", " \n", " \n", " sigma_p2 \n", - " -0.1778 (-0.310) \n", - " -0.2640 (-0.469) \n", - " -0.0016 (-0.628) \n", - " -0.0012 (-0.632) \n", - " -0.0009 (-0.473) \n", - " 0.00157 \n", - " 0.1254 (0.130) \n", - " -0.0171 (-0.170) \n", + " -0.1117 (-0.373) \n", + " -0.1235 (-0.407) \n", + " -0.0023 (-0.684) \n", + " -0.0017 (-0.696) \n", + " -0.0013 (-0.528) \n", + " 0.00186 \n", + " 0.0696 (0.141) \n", + " -0.0218 (-0.178) \n", " \n", " \n", " A_bkg \n", - " -0.01e3 (-0.030) \n", - " -0.01e3 (-0.030) \n", - " -0.061 (-0.039) \n", - " -0.0656 (-0.055) \n", - " -0.2148 (-0.178) \n", - " 0.1254 (0.130) \n", - " 593 \n", - " -59 (-0.965) \n", + " -0 (-0.039) \n", + " -0 (-0.020) \n", + " -0.057 (-0.064) \n", + " -0.0529 (-0.082) \n", + " -0.1338 (-0.203) \n", + " 0.0696 (0.141) \n", + " 131 \n", + " -32 (-0.966) \n", " \n", " \n", " tau_bkg \n", - " 1 (0.030) \n", - " 1 (0.027) \n", - " 0.010 (0.060) \n", - " 0.0058 (0.046) \n", - " 0.0178 (0.142) \n", - " -0.0171 (-0.170) \n", - " -59 (-0.965) \n", - " 6.37 \n", + " 1 (0.040) \n", + " 0 (0.018) \n", + " 0.018 (0.080) \n", + " 0.0118 (0.074) \n", + " 0.0273 (0.167) \n", + " -0.0218 (-0.178) \n", + " -32 (-0.966) \n", + " 8.12 \n", " \n", "" ], @@ -3530,8 +3702,8 @@ "┌─────────────────────────────────────────────────────────────────────────┐\n", "│ Migrad │\n", "├──────────────────────────────────┬──────────────────────────────────────┤\n", - "│ FCN = 46.04 (χ²/ndof = 0.9) │ Nfcn = 563 │\n", - "│ EDM = 2.48e-06 (Goal: 0.0002) │ │\n", + "│ FCN = 110.2 (χ²/ndof = 1.0) │ Nfcn = 536 │\n", + "│ EDM = 3.81e-07 (Goal: 0.0002) │ │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", "│ Valid Minimum │ No Parameters at limit │\n", "├──────────────────────────────────┼──────────────────────────────────────┤\n", @@ -3542,36 +3714,36 @@ "┌───┬──────────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", "├───┼──────────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", - "│ 0 │ A_p1 │ 649 │ 14 │ │ │ │ │ │\n", - "│ 1 │ A_p2 │ 1.154e3 │ 0.014e3 │ │ │ │ │ │\n", - "│ 2 │ mu_p1 │ 53.25 │ 0.06 │ │ │ │ │ │\n", - "│ 3 │ mu_p2 │ 60.46 │ 0.05 │ │ │ │ │ │\n", - "│ 4 │ sigma_p1 │ 1.95 │ 0.05 │ │ │ │ │ │\n", - "│ 5 │ sigma_p2 │ 2.79 │ 0.04 │ │ │ │ │ │\n", - "│ 6 │ A_bkg │ 247 │ 24 │ │ │ │ │ │\n", - "│ 7 │ tau_bkg │ 38.4 │ 2.5 │ │ │ 0 │ │ │\n", + "│ 0 │ A_p1 │ 314 │ 7 │ │ │ │ │ │\n", + "│ 1 │ A_p2 │ 568 │ 7 │ │ │ │ │ │\n", + "│ 2 │ mu_p1 │ 53.27 │ 0.08 │ │ │ │ │ │\n", + "│ 3 │ mu_p2 │ 60.53 │ 0.06 │ │ │ │ │ │\n", + "│ 4 │ sigma_p1 │ 2.13 │ 0.06 │ │ │ │ │ │\n", + "│ 5 │ sigma_p2 │ 2.81 │ 0.04 │ │ │ │ │ │\n", + "│ 6 │ A_bkg │ 109 │ 12 │ │ │ │ │ │\n", + "│ 7 │ tau_bkg │ 39.7 │ 2.8 │ │ │ 0 │ │ │\n", "└───┴──────────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", "┌──────────┬─────────────────────────────────────────────────────────────────────────┐\n", "│ │ A_p1 A_p2 mu_p1 mu_p2 sigma_p1 sigma_p2 A_bkg tau_bkg │\n", "├──────────┼─────────────────────────────────────────────────────────────────────────┤\n", - "│ A_p1 │ 209 0.03e3 0.181 0.1766 -0.1726 -0.1778 -0.01e3 1 │\n", - "│ A_p2 │ 0.03e3 201 0.049 0.0705 -0.0074 -0.2640 -0.01e3 1 │\n", - "│ mu_p1 │ 0.181 0.049 0.00413 0.0021 0.0019 -0.0016 -0.061 0.010 │\n", - "│ mu_p2 │ 0.1766 0.0705 0.0021 0.00242 0.0014 -0.0012 -0.0656 0.0058 │\n", - "│ sigma_p1 │ -0.1726 -0.0074 0.0019 0.0014 0.00245 -0.0009 -0.2148 0.0178 │\n", - "│ sigma_p2 │ -0.1778 -0.2640 -0.0016 -0.0012 -0.0009 0.00157 0.1254 -0.0171 │\n", - "│ A_bkg │ -0.01e3 -0.01e3 -0.061 -0.0656 -0.2148 0.1254 593 -59 │\n", - "│ tau_bkg │ 1 1 0.010 0.0058 0.0178 -0.0171 -59 6.37 │\n", + "│ A_p1 │ 48.4 10 0.138 0.1230 -0.0575 -0.1117 -0 1 │\n", + "│ A_p2 │ 10 49.5 0.001 0.0227 -0.0262 -0.1235 -0 0 │\n", + "│ mu_p1 │ 0.138 0.001 0.00611 0.0033 0.0031 -0.0023 -0.057 0.018 │\n", + "│ mu_p2 │ 0.1230 0.0227 0.0033 0.00313 0.0021 -0.0017 -0.0529 0.0118 │\n", + "│ sigma_p1 │ -0.0575 -0.0262 0.0031 0.0021 0.00331 -0.0013 -0.1338 0.0273 │\n", + "│ sigma_p2 │ -0.1117 -0.1235 -0.0023 -0.0017 -0.0013 0.00186 0.0696 -0.0218 │\n", + "│ A_bkg │ -0 -0 -0.057 -0.0529 -0.1338 0.0696 131 -32 │\n", + "│ tau_bkg │ 1 0 0.018 0.0118 0.0273 -0.0218 -32 8.12 │\n", "└──────────┴─────────────────────────────────────────────────────────────────────────┘" ] }, - "execution_count": 88, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { - 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", 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" ] @@ -3636,7 +3808,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 129, "id": "30cafddc-ea17-4158-82cc-f132dee2c8de", "metadata": {}, "outputs": [ @@ -3646,13 +3818,13 @@ "Text(0, 0.5, 'Residuals [$\\\\sigma$]')" ] }, - "execution_count": 89, + "execution_count": 129, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -3679,7 +3851,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 130, "id": "d9fbe83b-3146-4d72-89a4-084c29752e24", "metadata": {}, "outputs": [ @@ -3693,7 +3865,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -3746,17 +3918,60 @@ "id": "dbe65a21-572e-4618-bcd8-78f13e945e8a", "metadata": {}, "source": [ - "Sofern wir einen unser Fitmodel unsere Daten gut widerspiegelt erwarten wir, dass die Residuen sich Gaußförmig zufällig um den Wert 0 herum verteilen. Dies folgt direkt aus der Annahme, dass de Unsicherheiten unserer Messwerte sich durch eine Gaußverteilung darstellen lassen. Dies können wir direkt überprüfen, sofern wir unsere Residuanen in ein Histogramm eintragen. " + "Sofern wir einen unser Fitmodel unsere Daten gut widerspiegelt erwarten wir, dass die Residuen sich Gaußförmig zufällig um den Wert 0 herum verteilen. Dies folgt direkt aus der Annahme, dass de Unsicherheiten unserer Messwerte sich durch eine Gaußverteilung darstellen lassen. Dies können wir direkt überprüfen, sofern wir unsere Residuen in ein Histogramm eintragen. " ] }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 136, "id": "05e24224-66f7-45ed-99c6-f6d257e2c779", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "#TODO: Add histogram of residuals" + "plt.hist(residuals, bins=10, range=(-3, 3), histtype='step')\n", + "plt.xlabel('Residual [$\\sigma$]')\n", + "plt.ylabel('#Entries per bin')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "24ce04cc-5234-4326-9a28-7624b9c7d23e", + "metadata": {}, + "source": [ + "Bzw. den Anteil an Residuen berechnen welcher innerhalb der 1 $\\sigma$ Umgebeung" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "id": "39009321-41f4-49f4-820a-717be277b1b0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.675" + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(np.abs(residuals) < 1)/len(residuals)" ] }, {