{ "cells": [ { "cell_type": "markdown", "id": "e7ab9a48", "metadata": {}, "source": [ "# Mini Project\n", "\n", "In this mini project, we will use UV-Visible spectroscopy to investigate the kinetics of the oxidation of an intensely coloured organic dye by bleach.\n", "\n", "$$\n", " \\mathrm{dye}\\ +\\ \\mathrm{bleach}\\ \\rightarrow\\ \\mathrm{colorless\\ products}\n", "$$\n", "\n", "The dye in question is Blue-1 - a water-soluble compound which is used in food, drugs, and cosmetics due to its vibrant blue colour. The UV-Visible spectrum of Blue-1 contains an intense peak at $627\\, \\mathrm{nm}$.\n", "\n", "![The structure of the sodium salt of Blue-1, and the UV-Visible spectrum of a solution of Blue-1](blue_abs_single.png){fig-align=\"center\" width=400px}\n", "\n", "This absorption band corresponds to the excitation of an electron from a filled orbital of the $\\pi$ system to an empty orbital, and so is sensitive to the energy and composition of the $\\pi$ orbitals of Blue-1. Upon oxidation by bleach this extensive $\\pi$ system will be lost, resulting in a corresponding loss of the strong absorption band over time as more dye molecules are oxidised. \n", "\n", "## Intensity and concentration\n", "\n", "For a given sample, its absorbance $A$ (at a given wavelength) is the ratio of incident $I_0$ to transmitted $I$ light intensity.\n", "\n", "$$\n", " A = \\log_{10}\\left(\\frac{I_0}{I}\\right)\n", "$$\n", "\n", "The Beer-Lambert law states that the absorbance of a solution-phase sample is also directly proportional to the concentration $c$ of the absorbing species in the solution, the path length $l$, and a sample- and wavelength-dependent proportionality constant $\\varepsilon$ called the *molar extinction coefficient*.\n", "\n", "$$\n", " A = \\varepsilon c l\n", "$$\n", "\n", "If we identify an absorption feature which is specific to the starting molecule we can then measure its intensity as a function of time, and from this obtain the time dependence of the concentration of the absorbing species. In our case, we use the strong absorption of Blue-1 at 627 nm." ] }, { "cell_type": "markdown", "id": "8c235869", "metadata": {}, "source": [ "We first load the spectrum recorded at $t=0$ (i.e. before the reaction has started) to confirm that we have an intense peak at 627 nm." ] }, { "cell_type": "code", "execution_count": 1, "id": "6b860c9d", "metadata": {}, "outputs": [ { "data": { "image/png": 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ywrOadmBISEjAkydPFKqGrAEDAxEREVERHjx4gDt37kjaTKGHITAwEIIgSNouX76sUDVkDRgYiIiIiIqgvfqQvb096tevr1A1/+Ps7IyAgABJG4clkTExMBAREREVQftT+8DAQNjb2ytUjRTnMZCcGBiIiIiIiqD9JlzJ/Re0BQUFSY5jY2MVqoSsAQMDERERURG0A4P2m3QlNWjQQHLMwEDGxMBAREREVATtIUmm1MNQVGAovCM1kSExMBARERFpycrKwq1btyRtptTDEBgYKDnOzMzUWdGJyFAYGIiIiIi0XL16VecT+4YNGypUja7atWvD2dlZ0sZhSWQsDAxEREREWrTnL/j7+8PV1VWhanTZ2NhwHgPJhoGBiIiISIspT3hW0w4MV69eVagSsnQMDERERERaTHnCsxp7GEgudkoXQIbXpEkTyXFeXp5ClRAREZknc+hh0J74zMBAxsIeBiIiIqJCVCqVzvAec+hhuHbtGlQqlULVkCVjD4MFiomJkRwnJibC19dXoWqIiIjMy61bt5CTkyNpM8XAoN3DkJubi4SEBNSpU0eZgshisYeBiIiIqBDt4Uienp6oVq2aQtXo5+XlhcqVK0vaOCyJjIGBgYiIiKiQoiY8C4KgUDX6CYLAlZJIFgwMRERERIWYw4RnNU58JjkwMBAREREVoh0YTHH+ghqXViU5MDAQERER/T9RFHWGJJlyDwOHJJEcGBiIiIiI/l9ycjIePnwoaTPlHgbtIUk3b95Efn6+QtWQpWJgICIiIvp/2r0LTk5O8Pf3V6iaktWrV09yrFKpkJCQoFA1ZKkYGIiIiIj+37Vr1yTH9evXh62trULVlMzT0xPu7u6StuvXrytUDVkqBgYiIiKi/6c9abh+/foKVVI6giCgbt26krYbN24oVA1ZKgYGIiIiov+n3cOgPanYFGkHBvYwkKExMBARERH9v6KGJJk67XkM7GEgQ7OT+4aPHj3CL7/8ghMnTuDevXvIzMzE5s2bJROK7ty5g7S0NDg5OemkZiIiIiJjEEXRInoYGBjI0GQNDKtXr8YHH3yAJ0+eAHj6D1MQBGRkZEjOO3ToEEaMGAEnJyckJibC09NTzjKJiIjICt27d0/nPYk59DAUNSRJ/R6LyBBkG5I0b948TJkyBY8fP4aDgwNatWql99xhw4ahZs2ayMnJwa+//mr02uLi4jB16lQEBQXB1dUVnp6eCAkJwbJly5CZmWmQe9y6dQszZ85Eq1at4OHhAXt7e3h6eqJDhw5YsGABkpOTDXIfIiIiKh/tCc9OTk7w9vZWqJrS0x6S9OjRI529JIgqQpbAcPr0aSxcuBAAMGLECNy7dw+RkZH6i7KxweDBgyGKIvbt22fU2vbs2YNmzZphxYoVuHLlCjIzM/Hw4UNERUVhxowZCA4O1umeLKvvv/8ejRs3xmeffYYzZ87g0aNHyM/Px8OHD3HixAnMmzcPjRo1Mvr3SkRERPpp//e+Xr16sLEx/emevr6+Oku/cuIzGZIs/wpWr14NURTRvn17bN26VWe94KK0b98eAHD+/Hmj1XX27FkMHToU6enpcHNzw6JFixAeHo4DBw5g/PjxAJ5usd6vXz88fvy4XPc4fvw4Ro8ejaysLNjY2GDMmDH47bffEBkZiV9++QX9+/cHADx48AADBgzguEMiIiKFaPcwmMP8BQCwt7fX2VyO7yfIkGQJDEeOHIEgCHj77bdL/Zo6deoAAG7fvm2kqoApU6YgKysLdnZ2+OeffzBnzhy0b98e3bt3x7p16/DZZ58BeBoali9fXq57LF68GAUFBQCAVatWYdOmTRgwYABCQkLwyiuvYPfu3Xj//fcBAFlZWVixYoVhvjkiIiIqE3NcIUmNE5/JmGQJDHfv3gUANGzYsNSvcXJyAgDk5OQYpabIyEgcPXoUADBu3DhNj0ZhU6dORaNGjQAAK1euRF5eXpnvEx4eDgCoWrUqJk2aVOQ5c+fO1Tw+ceJEme9BREREFWeuPQwA92Ig45IlMDg4OAAA0tLSSv2apKQkAICHh4cRKgJ+++03zeMxY8YUeY6NjQ1GjhwJ4GntYWFhZb5Pbm4uACAgIEDvOe7u7qhWrZrkfCIiIpJPUUuqmlMPA/diIGOSJTD4+fkB0E3uxTl48CCAsvVKlMWxY8cAAK6ursWu2NSlSxfN4+PHj5f5Pur6b968qfec9PR0pKSkSM4nIiIi+RS1pCp7GIiekiUw9OjRA6IoYu3ataU6//bt21i3bh0EQUDv3r2NUtOlS5cAPP30wM5O/3YUQUFBOq8pizfffBMAkJqaqvf7/+STT3TOJyIiIvlo9y6Yy5KqatqBISEhgaMWyGBk2bjt7bffxpo1a3Du3Dl88skn+Oijj/See+XKFQwaNAiPHj2Cq6srJkyYYPB6srOzNZ/o+/j4FHtulSpV4OrqioyMDCQkJJT5XmPHjsWxY8ewdetWvPXWWzh9+jRefPFF1KpVC/Hx8fj+++81w6M++OAD9OzZs8z3SExMLPZ59RwSIiIiKpr2KAhzWVJVTXtIkiiKiIuLM6teEjJdsgSGevXqYdGiRZgxYwbmz5+P0NBQvPzyy5rnd+zYAXt7exw/fhz//PMPCgoKIAgCvvzyS3h5eRm8nsJLpLq5uZV4vjowqHeoLgtbW1t899136N+/Pz799FNs2LABGzZskJzTrVs3zJkzp1xhAXi6/jIRERGVnznPXwCezof09PTEgwcPNG3Xr19nYCCDkCUwAMC0adMgiiI+/PBDREZG4tSpU5otyxcsWKA5TxRF2Nra4vPPP8e4ceOMUkt2drbmsXpCdnEcHR0BPF32tDwuXbqErVu36t1T4sSJE9i4cSMaNWpkVt2fRERElsKcV0hSq1evniQwcOIzGYqsfW3Tp09HdHQ0xowZg2rVqkEURclX5cqVMXz4cJw9exZTpkwxWh3qJVuB0q1KpF7a1dnZucz3Onr0KNq3b489e/bA29sb33//Pe7du4fc3FwkJCTg66+/houLC7Zt24Y2bdogJiamzPdISEgo9qu4XbWJiIjI/HsYAE58JuORrYdBrVGjRti4cSMAID4+HsnJyVCpVKhatSrq1q0ry3jBSpUqaR6XZpiRetWE0gxfKiwnJwfDhw/Ho0ePULNmTURERKBmzZqa5318fDBp0iR06dIFrVu3xp07dzBq1ChERUWV6T4lzcMgIiIi/URRtIgeBm7eRsai6GwePz8/tG7dGm3btkX9+vVlm1zk5OSEqlWrAih5wvDDhw81gaGscwX++usvzU7VkydPloSFwpo0aYIRI0YAAE6fPo1z586V6T5ERERUfklJSTpLqppjDwP3YiBjMZ/p/wbWuHFjAE+7IPPz8/Wed/nyZc1j9a7PpVV4GdaWLVsWe27hvSAK35OIiIiMS7t3wdHR0Sx774sakiSKokLVkCWRJTA8evQICxYswIIFC0q1xOfdu3c152snfkN59tlnATwdbnT69Gm95x0+fFjzuGPHjmW6R+H9HYoLJQCQl5dX5OuIiIjIuLTnL5jbkqpq2oEhIyNDs4w8UUXI8q/hxx9/xPz58/Hjjz+iVq1aJZ5fs2ZN/Pjjj/j444+xbds2o9T00ksvaR5v3ry5yHMKCgqwdetWAICHhwe6detWpnsEBARoHh89erTYcwsHk8KvIyIiIuPSDgzmOH8BALy9vXU+dLx165YyxZBFkSUw7N27F4IgYMiQIaU6XxAEDBs2DKIoYs+ePUapqU2bNujUqRMAYOPGjThx4oTOOcuXL9cMK5oyZQrs7e0lzx86dAiCIEAQBIwePVrn9T169ICLiwsA4JtvvtG7rOrevXuxa9cuAE//sbdo0aK83xYRERGVkfaQJHOcvwA8HaGgPd+SgYEMQZbAEB0dDQDo0KFDqV/Tvn17yWuNYeXKlXB2dkZ+fj569+6NxYsXIyIiAmFhYZgwYQJmzJgBAAgMDMTUqVPLfH0PDw/MmjULwNPN4jp06IA5c+YgLCwM0dHR+PvvvzFp0iS8+OKLKCgoAAAsWbLELLtBiYiIzJWl9DAAgL+/v+SYgYEMQZbB8snJyQBQquFIauoVhZKSkoxSEwAEBwdj+/btGDFiBNLT0zFnzhydcwIDAxEaGipZirUsPvzwQzx48AArV67EkydPsHjxYixevFjnPHt7e3z66aea1ZKIiIjI+IpaUtVcexgAoE6dOpJjBgYyBFk+ylZvlJaZmVnq16jPtbW1NUpNav3798e///6L9957D4GBgXBxcYGHhwdat26NpUuX4uzZsxX6wyEIAr744gucOnUKb775Jpo2bYpKlSrB1tYW7u7uaNWqFd5//31cuHAB06ZNM+B3RkRERCVJTk7W2ZPJnHsYGBjIGGTpYahVqxZiY2MRFRVV6mFJ6s3L9O1dYEj+/v5YsWIFVqxYUabXde3atdTLlbVq1UqydCoREREpz1KWVFVjYCBjkKWHoVOnThBFEWvWrJEsH6pPXl4e1qxZA0EQNMufEhERERmapSypqqYdGOLi4rgXA1WYLP8ixowZA+Bpin/11VeLHZqUmZmJ4cOH4+rVq5LXEhERERmaJc1fAHQDQ0ZGBlJTU5UphiyGLEOSOnTogGHDhmHbtm3YuXMnIiMjMX78eHTq1EkzEfru3bs4cuQINmzYgMTERAiCgEGDBqFLly5ylEhERERWSLuHwdwDg7e3N2xtbaFSqTRtt27dQrVq1RSsisydbFsKb9q0CSkpKdi/fz8SExMxb968Is9Td5v16tUL3333nVzlERERkRXS7mEw5wnPwP/2Yig8d+HWrVto3bq1ckWR2ZNtkJ6TkxP+/vtvfPnll/D29oYoikV++fr64quvvsJff/2lWV2JiIiIyNBEUbS4HgaAE5/J8GTrYQCeLjH6zjvvYPLkyYiOjsbZs2eRkpICAKhWrRpatmyJ5s2bQxAEOcsiIiIiK5ScnIzHjx9L2sy9hwFgYCDDkzUwqAmCgODgYAQHBytxeyIiIiKd3gUHBwezXlJVjYGBDM181w0jIiIiqgDt+Qv16tUz+oaxcmBgIENjYCAiIiKrZInzF4CiAwP3YqCKkH1I0rlz53D06FHcuHEDjx8/liz7VRRBELBx40aZqiMiIiJrYWkrJKnp24uBS6tSeckWGK5cuYKxY8ciIiKi1K8RRZGBgYiIiIzCUnsYuBcDGZosgeH27dvo3LkzUlJSNF1ibm5uqFKlillvv05ERETmSRRFi+1h4F4MZGiyBIZFixbh/v37EAQBr7/+OqZNm4bAwEA5bm2VmjRpIjnOy8tTqBIiIiLTdP/+fZ0lVS2lhwF4OixJOzAQlZcsgeGvv/6CIAgYOXIk1q1bJ8ctiYiIiPQqaklVX19fhaoxPK6URIYkS2C4c+cOAGDkyJFy3M7qxcTESI4TExMt6o8gERFRRWkPR6pbt65FLKmqxsBAhiTLBIIqVaoAADw8POS4HREREVGxtHsYLGX+ghoDAxmSLIFBPcnm6tWrctyOiIiIqFjaPQyWNH8B4F4MZFiyBIZ33nkHoihy/gIRERGZBGvrYVDvxUBUHrIEhl69emHmzJkICwvDxIkTuWoPERERKaaoJVUtrYdBvRdDYRyWROUly6TnrVu3olGjRujQoQPWrVuHPXv2YNCgQQgKCoKLi0uJr+dkaSIiIjKUlJQUpKenS9osrYeBezGQIckSGEaPHg1BEDTHd+/exapVq0r1WvVyrERERESGoN27YGlLqqpxLwYyFFkCAwBOtCEiIiKToD1/wdKWVFXjSklkKLIEhps3b8pxGyIiIqISWfr8BTV/f3/JMQMDlZcsgUH7F5aIiIhIKZa+QpKa9vuv+Ph4hSohcyfLKklEREREpsJaexgYGKi8GBiIiIjIaoiiaDU9DH5+fpLjR48e4dGjRwpVQ+aMgYGIiIisRkpKis6bZkvtYfDx8dFpYy8DlYdsqySphYWF4bfffsO5c+eQkpKCrKysYldQEgQB169fl7FCIiIislTavQv29vY6n8RbCicnJ9SoUQNJSUmatvj4eDzzzDMKVkXmSLbAkJycjGHDhuHw4cMA9C+zKgiC5LnC+zcQERERVYT2/AVLXVJVzd/fXycwEJWVLIEhLy8Pffr0QXR0NERRRIsWLeDt7Y3Q0FAIgoARI0bgwYMHOHPmDO7evQtBENCyZUs0bdpUjvKIiIjISljL/AU1Pz8/REZGao4ZGKg8ZJnDsGXLFpw9exYAsHnzZpw5cwZLlizRPP/dd99hz549uH37Nnbu3IlatWrh4sWLeOGFF7B582Y5SiQiIiIroB0YLHX+gpr2cCsGBioPWQLDr7/+CgB4/vnnMWrUqGLPfemll3D48GE4ODhg9OjROl2HREREROWl/b7CGnoYCouLi1OoEjJnsgSGc+fOaYYeFUV7PkO9evUwZcoUZGRkYOXKlXKUSERERBZOFEWr2YNBjXsxkCHIEhgePHgAAAgICNC0OTg4aB5nZmbqvKZHjx4AgH379hm5OiIiIrIGqampOkuqWlsPw+3bt5Gfn69QNWSuZAkM6nBQOCRUrlxZ8/j27ds6r3FyctL7HBEREVFZFbWkqq+vr0LVyEM7MBQUFODOnTsKVUPmSpbAoP5lLbysV40aNVCpUiUAwMmTJ3Vec+HCBQBcVpWIiIgMQ3s4UkBAAOzsZN+SSlZVq1aFs7OzpI3zGKisZAkMLVu2BADNSklqnTt3hiiKWLlyJXJycjTtaWlpWLp0KQRBQOPGjeUokYiIiCyctS2pCjz94JXzGKiiZAkMPXr0gCiKCA0NlbS/+eabAJ4GiWbNmmH69OmYNGkSnnnmGVy9ehUAMHLkSDlKtChNmjSRfHXv3l3pkoiIiBRnbROe1bi0KlWULIHhpZdegp+fHxITE3H9+nVNe79+/TB27FjNqgUrVqzAt99+q5m30Lt3b0ycOFGOEomIiMjCWWMPA8DAQBUny8A9Dw8P3Lp1q8jnNmzYgPbt22PDhg2IiYlBfn4+GjRogJEjR2LKlCmwsZEl01iUmJgYyXFiYqLFT+oiIiIqjjUuqarGvRiookxips+4ceMwbtw4pcsgIiIiC/XgwQOkpaVJ2qylh4FzGKii+PE9ERERWTzt3gU7OzudT94tVVE9DNqb5hIVh4GBiIiILJ72/IW6deta/JKqatqB4cmTJzob2BEVR/Z/KSqVCr///jv279+P8+fPa3aB9vT0RNOmTdGzZ08MGDDAav4RExERkfFZ6/wFAPDx8YEgCJJehbi4OHh4eChXFJkVWd+V7969G2+//bZk92b1L68gCAgPD8e6detQq1YtrF69Gi+99JKc5REREZGFstYVkgDAwcEBtWrVkuzwHB8fj+bNmytYFZkT2YYkrVy5EgMHDsTt27c1IaFOnTpo164d2rVrhzp16gB4GiDu3LmDV155BV9++aVc5REREZEFs+YeBoBLq1LFyBIYTp48ialTp0IURVSqVAlLly5FUlISrl+/jvDwcISHh+P69etISkrC0qVL4e7uDlEUMX36dJw8eVKOEomIiMiCWXMPA8DAQBUjS2BYsWIFCgoK4O7ujvDwcEyfPh3VqlXTOa9atWqYPn06wsPD4e7ujoKCAqxYsUKOEomIiMhCpaam4uHDh5I29jAwMFDpyRIYjh49CkEQMHPmTDRu3LjE8xs1aoSZM2dCFEUcOXJEhgqJiIjIUmn3LtjZ2ensTWDptL9fbt5GZSFLYFCn+m7dupX6NepztTdZISIiIioL7cAQEBBgdasxsoeBKkKWwFCrVi1FXktERESkPeHZ2uYvALqB4c6dO8jLy1OoGjI3sgSGnj17AgAOHz5c6tccOnQIANC9e3djlERERERWQruHwdrmLwC6gUEURcky90TFkSUwTJ06Fc7OzliyZAmuXr1a4vlXr17F0qVL4erqiunTp8tQIREREVkq9jAAVapUgaurq6SN8xiotGQJDA0bNsQvv/wCAGjXrh2+/PJLzQ7PhT18+BArV65Ehw4dAAA///wzGjZsKEeJREREZKHYw/B0g1ztic+cx0ClZdAZPyUNH/Ly8kJsbCymTp2KadOmISAgANWrV4cgCEhKSsLNmzc1m7rVr18fy5Ytw+eff44DBw4YskwiIiKyEg8ePND5kNIaexiAp8OSLl68qDlmYKDSMmhgOHToEARB0LzpL0wQBM1jURQhiiKuX7+O69evF3mta9euITY2VvI6IiIiorLgkqr/w5WSqLwMGhg6d+7MN/hERERkMrTnL1jjkqpq2oGBcxiotAzew0BERERkKjh/4X84h4HKS5ZJz0RERERK4ApJ/1PUkKSihpETaZOlT27s2LEAgD59+mDw4MFy3JKIiIiIPQyFaAeGjIwMPHz4EJ6engpVROZClsDw3XffAQCGDh0qx+2IiIiIALCHoTBvb2/Y2NigoKBA0xYXF8fAQCWSZUiSl5cXAKBGjRpy3I6IiIioyCVVrbmHwd7eHrVr15a0cR4DlYYsPQyNGzfG4cOHERcXhxYtWshxS6vWpEkTyXFeXp5ClRARESmnqCVV69Spo0wxJsLPzw+JiYmaYwYGKg1ZehhGjBgBURQ1Q5OIiIiIjE07MNSpU8dql1RV49KqVB6yBIYxY8agR48e+P333zF//nzOyDeymJgYydfBgweVLomIiEh2nL+gSzswJCQkKFQJmRNZYvbRo0cxbdo03L9/H5988gm2b9+OoUOHolmzZqhSpQpsbW2LfX3nzp3lKJOIiIgsCFdI0sXdnqk8ZAkMXbt2lewAffXqVXzyySeleq0gCMjPzzdWaURERGShtHsYGBgYGKh8ZBvIx2FIREREJCcOSdKlHRju3r2L3NxcODg4KFQRmQNZAkNYWJgctyEiIiICUPSSqoGBgQpVYzq0A4Moirh9+zYCAgIUqojMgSyBoUuXLnLchoiIiAiAbu+CnZ0d/P39FarGdHh4eMDNzQ1PnjzRtMXHxzMwULFkWSWJiIiISE5Xr16VHNetW9fql1QFns4N5TwGKisGBiIiIrI4nL+gHwMDlZUiUfv06dPYv38/Lly4oBlf6OnpiaZNm6Jnz55o1aqVEmURERGRhWBg0I+BgcpK1sBw/vx5vPHGG4iMjNR7zpw5c9C2bVt8++23eOaZZ2SsjoiIiCwFA4N+DAxUVrINSdq/fz/atGmDyMhIiKIIURRhZ2eHGjVqoEaNGrCzs9O0R0REoE2bNjhw4IBc5REREZGFEEWRgaEYDAxUVrIEhpSUFAwePBg5OTkQBAGvv/46Tp48iYyMDNy5cwd37txBZmYmIiMjMX78eNja2iInJweDBw9GamqqHCUSERGRhbh//z7S09MlbQwM/1NUYOB+WVQcWQLDypUr8ejRIzg4OCA0NBTr1q1DSEiIZLUCW1tbtG7dGt9++y1CQ0Nhb2+PR48eYeXKlXKUSERERBZCu3fBwcEBvr6+ClVjerQDw5MnT5CWlqZMMWQWZAkMoaGhEAQBb7/9Np577rkSz+/duzcmT54MURQRGhoqQ4VERERkKbQDQ7169WBra6tQNabH29sbgiBI2jgsiYojS2C4efMmAODFF18s9WvU5964ccMoNRUWFxeHqVOnIigoCK6urvD09ERISAiWLVuGzMxMg95r//79GD16NOrXrw9XV1e4u7sjMDAQgwYNwjfffCPZSIWIiIjKjvMXiufg4IBatWpJ2hgYqDiyrJKUnZ0NAHB1dS31a9Tn5uTkGKUmtT179mDEiBGSsY6ZmZmIiopCVFQUNmzYgNDQUNSvX79C93n48CHGjBmD33//Xee59PR0xMbG4tdff0X79u3RokWLCt2LiIjImjEwlMzPzw937tzRHDMwUHFk6WGoWbMmAODs2bOlfo363Bo1ahilJvU9hg4divT0dLi5uWHRokUIDw/HgQMHMH78eABPd4rs168fHj9+XO77PHr0CL169dKEhYEDB+LHH39EREQETp06hZ07d2LKlCnw8fExyPdFRERkzbR3eWZg0KU9jyEhIUGhSsgcyNLD0KlTJ/zwww9YsmQJhgwZgsqVKxd7/uPHj7F06VIIgoBOnToZra4pU6YgKysLdnZ2+Oeff9C+fXvNc927d0eDBg0wY8YMXL16FcuXL8f8+fPLdZ/Jkyfj9OnTcHR0xM8//6wzNKt169YYOHAgvvjiC6hUqop8S0RERFZNFEVcu3ZN0sbAoItLq1JZyNLDMGHCBABP5zJ07twZUVFRes+NiopCly5dcP36dclrDS0yMhJHjx4FAIwbN04SFtSmTp2KRo0aAXi60lNeXl6Z73Ps2DF8//33AICFCxcWO49DEATJylFERERUNnfv3kVGRoakjYFBFwMDlYUs7047duyISZMmYc2aNTh//jzatm2LJk2aoG3btqhevToEQUBSUhJOnjyJmJgYzesmTZqEjh07GqWm3377TfN4zJgxRZ5jY2ODkSNHYvbs2UhLS0NYWBh69+5dpvusXr0aAODu7o6333673PUSERFRybTnLzg7O8Pb21uhakwXAwOVhWwfZ69atQouLi5YsWIFCgoKcOHCBUk4AKDZNMTGxgbTpk3DkiVLjFbPsWPHADydXN2qVSu953Xp0kXz+Pjx42UKDLm5uZp5C7169YKTkxMAQKVS4c6dO1CpVKhZs6amnYiIiCpGOzDUr18fNjayDKgwK9qB4fbt28jPz+dIByqSbP+CBEHAZ599hujoaEycOBENGjSAKIqSrwYNGmDixImIjo7WzGEwlkuXLgF4+oekuH8cQUFBOq8prXPnzmlWiHrmmWeQnp6Od999F9WqVYOfnx8CAgLg7u6OXr164dChQ2X/JoiIiEiCKySVjnZgKCgokKyaRFSY7DGyadOm+PrrrwE8/QT+4cOHAIAqVarAwcFBlhqys7ORkpICACWuTFSlShW4uroiIyOjzCsIXLx4UfO4oKAArVu31vlDlpubi/379+PAgQNYvHgxZs6cWaZ7AEBiYmKxz9+9e7fM1yQiIjJHDAyl4+npCRcXF8l+U/Hx8TpBgghQIDAU5uDgYNRlU/UpvESqm5tbieerA0NZN1V78OCB5vHSpUuRnZ2N559/HgsWLECzZs2Qnp6OX3/9FbNmzcKjR48wa9YsBAUFYcCAAWW6D7e7JyIieoqBoXQEQYCfnx8uX76saeM8BtLHKgf1qYcJAShVr4ajoyMAICsrq0z3KbxKQ3Z2Nnr16oU//vgDISEhcHR0hJeXF95880388ccfmvGVs2fP1szlICIiotIrKCjgkqplwInPVFqyBIa8vDxcvHgRFy9eLHLn5uzsbEydOhW+vr5wdnZG48aNsWrVKqPVU3iScW5ubonnq2t2dnYu932Ap70Mtra2Ouc9++yzePnllwE8nSdx/vz5Mt0nISGh2K/IyMgyXY+IiMgc3b59W/KhIMDAUBwGBiotWYYk7dq1C8OHD4enp2eR4+0HDhyIf/75R/PJ+uXLl/Huu+/iypUrmmVJDalSpUqax6UZZqTuKSjN8CV99/Hy8kJwcLDec5977jn88ssvAIBTp06hWbNmpb4Pd4gmIiLS3eHZzc0NNWvWVKga08fAQKUlSw/D33//DVEU8dJLL2mG96iFhobi77//BvD0je/AgQPh7e0NURTxzTffIDw83OD1ODk5oWrVqgBKnjD88OFDTWAo61yBwueX9Ka+8Ln3798v032IiIio6CVVjbniornTfl/DwED6yBIYzpw5A0EQJHsaqG3atAkAEBgYiJiYGPz666+4cOGCZoflDRs2GKWmxo0bAwCuXbuG/Px8vecVngykrqm0mjRponmsUqmKPbfw81wDmYiIqOw44bls2MNApSVLYEhOTgbwNOkXVlBQgAMHDkAQBEyePFkzhEe9K7Ioijhx4oRRanr22WcBPB1udPr0ab3nHT58WPO4rLtO+/v7a/4x3rp1q9jJzNevX9c85o6UREREZcfAUDbageHRo0d49OiRQtWQKZMlMKj3PNCeNBwdHY309HQAQL9+/STPNW3aFADKvPdBab300kuax5s3by7ynIKCAmzduhUA4OHhgW7dupX5Pq+88goAID09HQcOHNB73s6dOzWP1WGGiIiISo+BoWyKGi5trPddZN5kCQzqeQvq4KB25MgRAE9/Yf39/SXPqXsbShrKU15t2rRBp06dAAAbN24ssidj+fLlmt2dp0yZAnt7e8nzhw4dgiAIEAQBo0ePLvI+7777rma1pPfff18TkAr74YcfNDs99+vXj/sqEBERlVF+fj5u3LghaWNgKJ6Tk5POflgclkRFkSUwqMPAyZMnJe179uyBIAjo3LmzzmvUm555eXkZra6VK1fC2dkZ+fn56N27NxYvXoyIiAiEhYVhwoQJmDFjBoCn8yumTp1arnv4+flhwYIFAIDz58+jTZs22Lx5M06fPo2wsDBMnjxZEzYqV66ML774wiDfGxERkTW5deuWzlLpDRs2VKga88F5DFQassyu7datG2JiYrBq1SoMHDgQjRo1wu7duzWfqvft21fnNRcuXAAA1KpVy2h1BQcHY/v27RgxYgTS09MxZ84cnXMCAwMRGhoqWSK1rKZPn44HDx5g6dKluHLlCsaOHatzTvXq1fHbb7/x0xAiIqJyuHLliuTY09MT1apVU6ga8+Hn54dTp05pjhkYqCiy9DBMnjwZDg4OSE5ORtOmTVGtWjUMHDgQoijC29tbM86/sH/++QeCIJRpP4Ly6N+/P/7991+89957CAwMhIuLCzw8PNC6dWssXboUZ8+e1ZmsXR6LFy/G8ePH8dprr6FOnTpwdHSEu7s7QkJC8Mknn+Dq1ato3769Ab4jIiIi66MdGNi7UDrsYaDSkKWHoUGDBvj+++8xduxYZGRkaIYbeXh44KeffoKDg4Pk/Hv37mHfvn0AgO7duxu9Pn9/f6xYsQIrVqwo0+u6du1a7MpH2tq3b89QQEREZATagSEoKEihSswLAwOVhmwL/g8ePBhdunRBaGgo7t27h1q1auHFF1+Ep6enzrn//vsvXn31VQBFD1ciIiIiKqzwvkkAexhKi4GBSkPWHcKqV6+OMWPGlHhe79690bt3bxkqIiIiIkvAIUnlox0YEhMToVKpYGtrq1BFZIpkmcNAREREZCxpaWlISkqStHFIUuloBwaVSoV79+4pVA2ZKll7GApLTk7G+fPnNfMZPD090bRpU531gImIiIiKo927YGtri7p16ypUjXnx8vKCo6MjcnJyNG3x8fHw9vZWsCoyNbIGBlEU8e2332LNmjWIiYkp8pzGjRtj0qRJmDBhAmxs2AFCRERExdMODHXr1tVZUIWKJggC/Pz8JLtkx8fHc5EWkpDtHXlycjLatWuHt956CzExMRBFscivixcv4u2330bbtm3ZJUZEREQl4gpJFcOJz1QSWXoYcnJy0L17d1y6dAmiKMLLywtDhgxBmzZtNEOQkpKScOrUKfz8889ITk7G6dOn0bNnT5w+fRqOjo5ylElERERmiBOeK4aBgUoiS2D44osvcPHiRQiCgHHjxuHLL7+Eq6urznmvvfYalixZgvfeew/r16/HpUuX8MUXX2DWrFlylElERERmiEuqVgwDA5VEliFJ27ZtgyAI6NWrF9avX19kWFBzcXHBt99+i969e0MURWzbtk2OEomIiMgMqVQqXLt2TdLGwFA2DAxUElkCg/of8qRJk0r9GvW5169fN0pNREREZP7i4uIkK/wAnMNQVgwMVBJZAoN6DoKvr2+pX6M+l6scEBERkT7aw5GqVKmCatWqKVSNedIODA8ePMCTJ08UqoZMkSyBQZ30ExISSv0a9bn8lICIiIj0KWrCsyAIClVjnor6QLcs79nI8skSGEaPHg1RFLF27dpSv2bt2rUQBAEjR440YmVERERkzrikasU5OzvDy8tL0sZhSVSYLKskvf7669i5cyf+/vtvTJo0CStWrICTk1OR5+bk5GDq1Kn466+/8Nxzz+GNN96Qo0SL0qRJE8lxXl6eQpUQEREZF5dUNQw/Pz/cv39fc8zAQIUZNDAcOXJE73Pvv/8+Hjx4gG+//Ra//fYbhgwZgpCQEFSvXh2CIGj2YdixYwfu3buHkJAQTJ06FUePHkXnzp0NWSYRERFZCC6pahh+fn44ffq05piBgQozaGDo2rVrqcYNJiUlYdWqVcWeExUVheeeew6CICA/P99QJVqFmJgYyXFiYmKZJpwTERGZg/T0dNy7d0/SxiFJ5cOVkqg4Bh+SJIqioS9JREREpEN7OJKtrS3q1aunUDXmjYGBimPQwBAWFmbIyxERERHppT0cKSAggMuxl5P2SAQGBirMoIGhS5cuhrwcERERkV6c8Gw42j0MCQkJKCgogI2NLAtqkonjbwERERGZJU54NhztwJCXl4ekpCSFqiFTY7KBITk5GV988QWCg4OVLoWIiIhM0MWLFyXHjRs3VqgS81ejRg3Y29tL2jgsidRk2YehtHJycvDbb79h69at2LdvH1QqldIlERERkQnKzc1FbGyspI2BofxsbGzg6+uLGzduaNri4+PRtm1bBasiU2ESgeHo0aPYunUrfvnlF6SnpwP432pLLi4uSpZGREREJujatWs6y643atRIoWosg5+fn05gIAIUDAzXr1/H1q1b8cMPP+DWrVsA/hcS3Nzc0LdvXwwaNAh9+/ZVqkQiIiIyUdrDkWrXrg0PDw9lirEQXFqV9JE1MKSlpWHbtm3YunUrTp48CeB/IUEQBPTu3RsTJ07E888/D0dHRzlLIyIiIjPC+QuGx8BA+hg9MKhUKoSGhmLr1q0IDQ1Fbm6uJiTY2tqid+/e2Lt3LwBg7NixGDBggLFLIiIiIjPHwGB4RS2tSgQYMTBERUVh69at2LZtG1JTUwH8rzehdevWGDFiBIYPHw4vLy+u8UtERERlwsBgeOxhIH0MHhiWLFmC77//XrM2sjokBAQE4NVXX8WIESO4TjIRERGVW35+vs6mbQwMFacdGO7fv4+srCw4OzsrVBGZCoMHhjlz5kAQBIiiiCpVqmDw4MF47bXX0LFjR0PfioiIiKzQjRs3kJubK2ljYKg4X19fnbaEhAQEBgYqUA2ZEqMNSapUqRI+/PBDjBw5ElWrVjXWbYiIiMjKaA9Hql69Ot9rGICbmxs8PT3x4MEDTVt8fDwDAxl+p2dXV1eIoojHjx9j2rRpqF27Nl588UVs374d2dnZhr4dERERWRnOXzAezmOgohg8MCQlJWHLli3o0aMHBEFAXl4eQkND8eqrr6JmzZoYO3YsDhw4YOjbEhERkZVgYDAeBgYqisEDg4uLC0aOHIl9+/YhLi4On376KRo1agRRFJGeno7vvvsOvXv3ho+PD2bMmIFz584ZugQiIiKyYAwMxsPAQEUx6nqm3t7emDVrFi5cuIBTp07h7bffRrVq1SCKIu7cuYPly5ejZcuWmvMfPXpkzHKIiIjIzKlUKly6dEnSxsBgOAwMVBTZNkBo1aoVvvrqK9y+fRu///47XnnlFdjb22uWXQWAN998E82bN8cnn3yi8+kBERERUVxcnM6cSAYGw2FgoKLIvmOanZ0d+vfvjx07duDevXtYs2YN2rVrB1EUIYoiLly4gPnz5+OZZ55B48aNMXfuXLlLJCIiIhOl/YGip6cnqlevrlA1lqeowFD4w12yTopusezh4YE333wT4eHhuHr1Kj744AP4+/trwsPly5exaNEiJUskIiIiExITEyM5bty4MQRBUKgay6MdGHJycnD//n2FqiFToWhgKKx+/fr45JNPcOPGDRw6dAhjx45F5cqVlS6LiIiITAgnPBtXzZo1YWcn3aaLw5LIaBu3VUTnzp3RuXNnrF69Gr/99pvS5ZidJk2aSI7z8vIUqoSIiMiwLly4IDlmYDAsW1tb+Pj44NatW5q2+Ph4tG7dWrmiSHEm08NQFCcnJwwbNkzpMoiIiMgEqFQqnR6GZ555RqFqLBcnPpM2k+xhoIrRHt+ZmJgIX19fhaohIiIyjGvXrumskMTAYHgMDKTNpHsYiIiIiNT+/fdfyXGNGjXg5eWlUDWWi4GBtDEwEBERkVk4f/685LhZs2YKVWLZGBhIGwMDERERmQXtwMDhSMahPYyZgYEYGIiIiMgsMDDIQ7uHISkpSWfuCFkXBgYiIiIyeU+ePMGNGzckbQwMxqEdGICnC6iQ9WJgICIiIpMXExMDURQ1xzY2NtyDwUgqV64Md3d3SRuHJVk3BgYiIiIyedrDkRo0aABnZ2eFqrF8nPhMhTEwEBERkcnj/AV5aQeGhIQEhSohU8DAQERERCaPgUFe7GGgwgy603PdunUNeTkAgCAIuH79usGvS0REROZBFEWdTdsYGIyLgYEKM2hguHXrVqnOEwQBACSTl/S1q9uIiIjIOt27dw+pqamSNm7aZlwMDFSYQQPDqFGjin0+Ojoa586dgyiK8PDwQHBwMGrUqAHg6Rq/0dHRePjwIQRBQPPmzdG8eXNDlkdERERmSHs4kqurKwICAhSqxjoUFRhEUeQHuVbKoIFh8+bNep/btGkT/vvf/8LHxwfLly/HwIEDYWcnvb1KpcLOnTsxffp0XLx4EW+99RbGjRtnyBKJiIjIzGgHhiZNmsDGhtMwjUk7MGRmZuLBgweoWrWqQhWRkmT51xYVFYU333wT1apVQ0REBAYPHqwTFgDA1tYWgwcPxokTJ+Dp6YlJkyYhKipKjhKJiIjIRHHCs/xq166tE8o4LMl6yRIYvvjiC6hUKsyZMwe1a9cu8fxatWphzpw5yMvLw4oVK2SokIiIiEzVuXPnJMcMDMZnZ2cHb29vSRsDg/WSJTAcPXoUANC2bdtSv6Zdu3YAgGPHjhmlJiIiIjJ9ubm5iImJkbS1aNFCmWKsDCc+k5osgeH+/fsAgJycnFK/Rn2u+rVERERkfWJiYpCXlydpY2CQh3ZgiIuLU6gSUposgcHLywsAsHfv3lK/5s8//wQAVKtWzSg1ERERkek7e/as5Lhu3bpwd3dXqBrrwh4GUpMlMHTv3h2iKGLFihU4fvx4ieeHh4fjiy++gCAI6NGjhwwVEhERkSnSDgzBwcEKVWJ96tSpIzku7X5bZHlkCQyzZs2Co6MjcnJy0KNHD7z77ruIjo6WbNAmiiKio6Px3nvvoXv37sjOzoaDgwNmzZolR4lERERkghgYlMPAQGoG3YdBn6CgIHz33XcYMWIEcnNzsWrVKqxatQoODg7w9PSEIAhITU1Fbm4ugKfhwc7ODps3b0ZQUJAcJRIREZGJKSgo0FkhifMX5KMdGO7fv48nT57Azc1NmYJIMbLtejJkyBAcP34crVq1giiKEEUROTk5uHv3Lu7cuYOcnBxNe8uWLXHs2DEMGzZMrvKIiIjIxFy7dg1PnjyRtLGHQT7+/v46bZz4bJ1k6WFQCwkJwalTpxAVFYX9+/fj/PnzePDgAQCgSpUqeOaZZ9CzZ0+EhITIWZbFadKkieRYe3UJIiIic6A9HKl69eqoVauWQtVYH2dnZ9SoUQNJSUmatlu3bum8zyDLJ2tgUGvdujVat26txK2JiIjITERHR0uOg4ODIQiCMsVYqTp16ugEBrI+igQGMi7tDW4SExPh6+urUDVERETlwwnPygsICMDJkyc1xwwM1kmxwJCYmIh79+4hMzMTISEhcHZ2VqoUIiIiMjGiKDIwmACulESAjJOeAeDx48f46KOP4OvrC39/f7Rt2xbdunXDzZs3Jedt27YNQ4YMwfjx4+Usj4iIiEzE3bt3kZycLGljYJAfAwMBMvYwxMbGom/fvrhx44Zk/4WixiK2a9cOI0aMgCiKGDVqFJ599lm5yiQiIiITcPr0acmxm5sb6tWrp1A11ouBgQCZehiys7PRr18/XL9+HS4uLpgxYwb++OMPvefXqVMH3bp1AwDs3r1bjhKJiIjIhJw6dUpy3LJlS9jYyDowgqAbGFJSUnSWuiXLJ0sPwzfffINr167B1dUVR48eLdWmK3369MGBAwdw4sQJ4xdIREREJkU7MHDJdWX4+fnptN26dQtNmzZVoBpSiixRfefOnRAEAVOmTCn1Do3NmzcH8HQoExEREVkPURQRFRUlaWNgUIazszNq1qwpaeOwJOsjS2C4dOkSAKB3796lfk3VqlUBAGlpacYoiYiIiExUXFwcUlJSJG0MDMrhPAaSJTCox7q5ubmV+jU5OTkAAHt7e6PURERERKZJu3fB09MTAQEBClVDDAwkS2BQ9xaU5RdMvfmYdjcYERERWTbt+QutW7fmDs8KYmAgWQJDy5YtAQBHjhwp9Wu2bt0KQRDQvn17Y5VFREREJogTnk0LAwPJEhgGDRoEURSxbt06xMfHl3j+l19+qQkXw4cPN3Z5REREZCIKCgp09mBo3bq1QtUQwMBAMgWG1157Dc2aNUN2dja6du2KvXv36mzeJooiTp06hf/85z+YOnUqBEFAp06d0KdPHzlKJCIiIhMQGxuL9PR0SRt7GJSlPX8kNTUVjx8/VqgaUoIs+zDY2Nhg9+7dePbZZ3Hr1i288MILcHFx0YxH7Nq1Kx4/fqyZ6CyKIurVq4eff/5ZjvKIiIjIRGgPR6pVqxa8vb0VqoYA/XsxPPPMMwpUQ0qQbctEPz8/REdHY/jw4bCxsUFGRgZEUYQoirh//z6ys7M1vQ5DhgxBZGQkqlevLkttcXFxmDp1KoKCguDq6gpPT0+EhIRg2bJlyMzMNMo9MzMzUbduXQiCAEEQdLr7iIiIrJH2CkkcjqQ8Jycn1KpVS9LGYUnWRZYeBjVPT0/8+OOP+PTTTxEaGoqoqCgkJydDpVKhatWqCA4ORv/+/REYGChbTXv27MGIESMk3Z+ZmZmIiopCVFQUNmzYgNDQUNSvX9+g9507dy5u3rxp0GsSERGZu4iICMkxhyOZhjp16uDu3buaYwYG6yJrYFDz9/fHpEmTlLi1xNmzZzF06FBkZWXBzc0Ns2fPRrdu3ZCVlYVt27Zh/fr1uHr1Kvr164eoqChUqlTJYPf98ssv4eTkBHt7e44DJCIiApCdnY0zZ85I2rhaommoU6cOTpw4oTlmYLAusg1JMkVTpkxBVlYW7Ozs8M8//2DOnDlo3749unfvjnXr1uGzzz4DAFy9ehXLly83yD1VKhXGjx8PlUqFOXPmwNPT0yDXJSIiMnenT59GXl6e5lgQBLRp00bBikiNKyVZN5MJDDk5OThw4AC2b9+OyMhIo98vMjISR48eBQCMGzeuyE8wpk6dikaNGgEAVq5cKfkjVl4rV67E6dOn0bBhQ8ycObPC1yMiIrIUhT/BBoCmTZuicuXKClVDhTEwWDdZAkNcXBxmzJiBGTNmIC0tTef5iIgI1KtXD71798arr76K9u3bo3Xr1oiLizNaTb/99pvm8ZgxY4o8x8bGBiNHjgQApKWlISwsrEL3jIuLw9y5cwEAa9euhYODQ4WuR0REZEm0AwOHI5kOBgbrJktg2LlzJz7//HPs378fHh4ekufS09Px0ksv4e7du5pVk0RRxJkzZ9CvXz+DfKpflGPHjgEAXF1d0apVK73ndenSRfP4+PHjFbrnpEmTkJGRgddeew1du3at0LWIiIgsiSiKCA8Pl7R16NBBoWpIm3ZgePDggc5+GWS5ZAkM+/btgyAIGDBggM5z69atQ3JyMgDgnXfewe+//66ZEH3p0iV89913Rqnp0qVLAID69evDzk7/3O+goCCd15THtm3b8Oeff6JKlSoGmw9BRERkKeLi4nDv3j1JG3sYTIe+vRjIOsiyStKNGzcAFL2W8s8//wxBEPDyyy/jyy+/BAD0798f9+/fx44dO/Drr7/i9ddfN2g92dnZSElJAQD4+PgUe26VKlXg6uqKjIwMJCQklOt+Dx8+xLvvvgsAWLJkCby8vMp1HX0SExOLfb7wMmhERESmSHs4UtWqVdGgQQOFqiFt6r0YtJdWbdasmYJVkVxkCQz3798HAJ1NPx49eqRZPm306NGS54YNG4YdO3bg3LlzBq+n8DKmbm5uJZ6vDgxPnjwp1/2mT5+OpKQktG/fHuPHjy/XNYrj6+tr8GsSERHJSTswtGvXDoIgKFQNFYV7MVgvWYYkqd+gq1QqSXt4eDgKCgpga2urM6Zf/Sb4wYMHBq8nOztb87g0E48dHR0BAFlZWWW+15EjR7Bp0ybY2dlh7dq1/ONHRERUBE54Nn0BAQGSYwYG6yFLD4OHhwdSU1Nx584dSfuhQ4cAAC1atICrq2uRr3VycjJ4PYWvmZubW+L5OTk5AABnZ+cy3ScnJwdvvPEGRFHElClTjNZtV9JQqbt373IdayIiMlmZmZmIjo6WtHHCs+nhSknWS5bA0KRJExw5cgS7du3STHxWqVSa+QtFrRh0+/ZtAECNGjUMXk/hHZtLM8woIyMDQOmGLxW2aNEiXLlyBb6+vvj444/LVmQZlDQPg4iIyJRFREQgPz9fc2xra4uQkBAFK6KiMDBYL1kCw8CBA3H48GF8//33qFGjBjp16oTvv/8ecXFxEAQBQ4YM0XlNVFQUAOOMz3dyckLVqlWRmppa4oThhw8fagJDWWtZunQpAKBnz57Ys2dPkeeor52RkYFt27YBAKpXr47u3buX6V5ERETm6siRI5Ljli1blvlDOjI+7cCgXtSGLJ8sgWHChAn49ttvcenSJXz++ef4/PPPNc/179+/yNWTdu3aBUEQ0K5dO6PU1LhxYxw9ehTXrl1Dfn6+3qVVL1++rHms3vW5tNTDnTZv3ozNmzcXe25KSgqGDx8O4OneDwwMRERkLbQDQ+fOnRWqhIpTt25dyfGjR4/w4MEDeHp6KlQRyUWWSc+Ojo44cOAAXn75ZdjZ2UEURdjb2+O1117D999/r3P+kSNHcPHiRQDAc889Z5Sann32WQBPP9k/ffq03vMOHz6sedyxY0ej1EJERGStcnJydCY8MzCYJj8/P9ja2kra2MtgHWQJDABQs2ZN/PLLL0hPT8ft27eRnp6O7777TjKfQM3X1xdhYWE4ePCg5o29ob300kuax/o+/S8oKMDWrVsBPJ243a1btzLdo/DO1fq+/P39AQD+/v6aNvVkcCIiIksXFRUlWb1QEAR06tRJwYpIH3t7e50N3K5fv65QNSQn2QKDmqOjI2rVqlXscqYBAQHo0qULunTpYrRlSNu0aaP5g7Rx40adTzcAYPny5ZrdnadMmQJ7e3vJ84cOHYIgCBAEQWcfCSIiIiqZ9nCkZ555BlWqVFGoGiqJ9rAk9jBYB9kDgylZuXIlnJ2dkZ+fj969e2Px4sWIiIhAWFgYJkyYgBkzZgAAAgMDMXXqVIWrJSIisjyFh/4CHI5k6urVqyc5Zg+DdZBl0rOpCg4Oxvbt2zFixAikp6djzpw5OucEBgYiNDS0yKFTREREVH75+fk4fvy4pK1Lly4KVUOlwR4G62TQwDB27FgAT8cfbty4Uae9PLSvZWj9+/fHv//+i5UrVyI0NBSJiYlwcHBA/fr1MXjwYLz99ttwcXEx2v2JiIisVXR0tM5+SJy/YNq0exgYGKyDIIqiaKiL2djYaOYcqFSqItvLQhRFCIIguRaVXWJiomYPiYSEBG70RkREJmH58uWYNm2a5rhhw4aS5czJ9Jw5cwatWrXSHNvY2CArK6vYualk/gzaw+Dn51dkMNDXTkRERNbrwIEDkmMORzJ92j0MBQUFiIuLQ4MGDRSqiORg0MCgb4twbh1OREREheXm5upMeO7Ro4dC1VBpubu7w9PTEw8ePNC0Xb9+nYHBwln1KklERESkjIiICGRmZkraunfvrlA1VBac+Gx9GBiIiIhIdvv375ccBwcHo1q1agpVQ2XBpVWtDwMDERERyU47MPTs2VOhSqis2MNgfRgYiIiISFaPHj1CZGSkpK1Xr14KVUNlxR4G62PQSc/aidMQBEHgLyIREZEFOXTokGTJdEdHRzz77LMKVkRlUVQPg3opfLJMsqySVBH85SMiIrIs2sOROnbsCGdnZ4WqobLS7mHIyMjA/fv3Ub16dYUqImMzaGAYNWqUIS9HREREFojzF8ybt7c37O3tkZeXp2m7fv06A4MFM2hg2Lx5syEvR0RERBbm1q1bOrs5MzCYF1tbWwQEBODq1auaths3bqB9+/YKVkXGxEnPREREJJvQ0FDJcbVq1dCyZUuFqqHy0p7HwPmmlo2BgYiIiGSjHRj69OkDW1tbhaqh8tKex8ClVS2bQYckkWlo0qSJ5LjwGEMiIiKlZGZmIiwsTNLWr18/haqhimAPg3VRLDDcunULKSkpyMrKgiiKxZ7buXNnmaoiIiIiYwkLC0N2drbm2NbWFr1791awIiov9jBYF1kDw5UrV/Dpp59i9+7dSE9PL9VrBEFAfn6+kSuzLDExMZLjxMRE+Pr6KlQNERHRU9rDkTp06IAqVaooVA1VhHYPw507d5CVlcXlcS2UbIHht99+w3/+8x9kZ2eX2KNARERElkUURZ3AwOFI5isgIECn7ebNm2jcuLEC1ZCxyTLpOSEhASNGjEBWVhZq166NL7/8EuvWrQPwtAfhwIED2LFjB2bOnInatWsDAJ599lns378fBw8elKNEIiIiMqKYmBjEx8dL2hgYzJebmxtq1KghaeOwJMslSw/DV199hczMTFSqVAknT55E7dq1JcNmunXrBgB45ZVXMHfuXIwbNw7bt2/Hxo0b8eOPP8pRIhERERnRnj17JMd+fn46i3SQealbty6SkpI0x5z4bLlk6WHYv38/BEHApEmTND0I+jg7O+OHH35AcHAwtm3bhl9//VWOEomIiMiIdu3aJTnu168fBEFQqBoyBO2JzwwMlkuWwHDr1i0ATyc3qRX+I6E9qdnGxgbvvPMORFHEpk2b5CiRiIiIjCQ+Ph6nTp2StL3yyisKVUOGUr9+fclxbGysQpWQsckSGDIyMgBAslKPi4uL5vGjR490XqPupjx37pyRqyMiIiJj0u5d8PT05JLpFqBBgwaSYwYGyyVLYHB3dwcAydrLVatW1TwuqgtLHSJSUlKMXB0REREZ086dOyXHL774Iuzt7RWqhgxFOzDcunWLm8VaKFkCQ8OGDQFIZ89XqlQJ/v7+AIB//vlH5zX79u0DAHh4eBi/QCIiIjKKpKQkHD16VNL28ssvK1QNGZJ2YFCpVLh586ZC1ZAxyRIY2rdvDwCIiIiQtL/wwgsQRRHLli2TbBX/888/Y+XKlRAEAR07dpSjRCIiIjKC3bt3S/ZfcnV1Ra9evRSsiAzFw8MD1apVk7RdvXpVoWrImGQJDH379oUoiti5cydUKpWmffr06XBxccGTJ0/Qs2dPeHl5oVKlShg+fDiys7NhY2OD6dOny1EiERERGYH2cKR+/frByclJoWrI0DiPwTrIEhi6du2KefPmYcyYMbh9+7am3c/PDzt27IC7uztEUURqaioyMjIgiiIcHR2xfv16tGvXTo4SiYiIyMBSUlKwf/9+SRuHI1kWBgbrIMvGbYIgYN68eUU+16dPH8TGxuKXX35BTEwM8vPz0aBBAwwZMgTe3t5ylEdERERG8Msvv0iWTnd2dkbfvn0VrIgMjYHBOsgSGEpStWpVTJgwQekyiIiIyID++9//So5ffPFFVKpUSaFqyBgYGKyDLEOSiIiIyLrEx8frrI706quvKlQNGUtgYKDkOD4+XrKMPlkGBgYiIiIyuG3btkmOq1Spgueff16hashYtHd7FkVRsow+WQbZhyQVFBTg4sWLuHHjBh4/fixZNUmfkSNHylAZERERGYr2cKRBgwbBwcFBoWrIWCpVqoSaNWvi3r17mrbY2Fg0btxYwarI0GQLDJmZmVi4cCE2bNiA1NTUUr9OEAQGBiIiIjNy8eJFnDt3TtLG4UiWq0GDBpLAwL0YLI8sgeHJkyfo1q0bzpw5I9m8hYiIiCzPli1bJMe1a9dGp06dlCmGjK5BgwaS+Sqc+Gx5ZAkMCxcuxOnTpwEA7dq1wxtvvIHmzZvDw8MDNjacRkFERGQp8vLysHXrVknbf/7zH9ja2ipUERkbV0qyfLIEhl9++QWCIKBv3774/fffGRKIiIgs1J9//omkpCRJ29ixYxWqhuTAwGD5ZHnnrt7d+Z133mFYICIismCbNm2SHHfo0AFBQUEKVUNy0A4Mt2/fRmZmpkLVkDHI8u69evXqAIBq1arJcTsiIiJSwL179xAaGippY++C5dNeWhUArl27pkAlZCyyDElq06YNEhMTceXKFQQHB8txS6vWpEkTyXFeXp5ClRARkTX5/vvvJculu7i4YMiQIQpWRHJwcXGBj48PEhMTNW2xsbFo1qyZglWRIcnSw/Dee+8BAFavXs1VkoiIiCxQQUEB1q1bJ2kbMmQIKlWqpFBFJCftYUlcWtWyyBIYOnTogKVLlyI8PBzDhg1DWlqaHLe1WjExMZKvgwcPKl0SERFZuH/++UdnGMq4ceMUqobkxsBg2WTbuG3atGmoV68exo8fD19fX/Tq1QuBgYFwcXEp8bVz586VoUIiIiIqr9WrV0uOn3nmGXTs2FGhakhuDRs2lBxfuXJFoUrIGGQLDMnJydi1axcePXqEgoIC/P7776V+LQMDERGR6bpx4wb+/PNPSdvbb78NQRAUqojkpr0S1uXLlyGKIn8HLIQsgSE1NRWdO3dGbGws5zAQERFZmG+++Uby33d3d3f85z//UbAikpt2YHj48CHu37+vWSmTzJsscxg+/fRTXL16FaIoYtCgQTh48CBSU1OhUqlQUFBQ4hcRERGZpszMTGzcuFHSNmbMGLi6uipUESnB398fjo6OkrbLly8rVA0ZmiyBYffu3RAEAa+99hp+/vlndO3aFVWqVGE3FRERkZnbtm0bHj58KGmbNGmSQtWQUmxtbREYGChpY2CwHLLu9MzNW4iIiCyHKIr46quvJG3PPfeczoo5ZB20hyVdunRJoUrI0GQJDOodnrkWMxERkeXYt28fzp07J2l76623FKqGlNaoUSPJMXsYLIcsgaFTp04AgAsXLshxOyIiIpLBZ599JjkODAxE3759FaqGlFbUSklkGWQJDFOnToW9vT0+//xzZGdny3FLIiIiMqIzZ87gwIEDkrZp06bB1tZWoYpIadqBIS4uDpmZmQpVQ4YkS2Bo2bIlNmzYgKtXr6J3797c/Y+IiMjMLVu2THJco0YNvPbaawpVQ6ZAe9KzKIqIjY1VqBoyJFn2YVBPdm7cuDGOHTuGxo0bo1mzZqXa6VkQBJ3l2oiIiEg5N2/exI4dOyRt77zzDpycnBSqiEyBq6sr/Pz8EB8fr2m7fPkymjdvrmBVZAiyBIYtW7ZollAVBAEFBQU4d+6czkQpbeodAhkYiIiITMcXX3wBlUqlOXZ1dcXEiRMVrIhMRVBQkE5gIPMnS2Dw8/PjngtEREQW4N69e1i/fr2kbfz48ahSpYpCFZEpadSoEf755x/NMZdWtQyyBIZbt27JcRsiIiIysmXLlkkWMLGzs8O7776rXEFkUrhSkmWSZdIzERERmb+kpCR88803krZRo0bB399foYrI1GgHhitXrqCgoEChashQZAkMNjY2sLW11VmvmYiIiMzH559/jqysLM2xra0t5syZo2BFZGq0A0N2drZkTgOZJ1kCg4ODA4D/beBGRERE5iU5ORlr1qyRtI0aNQp169ZVqCIyRTVq1IC7u7ukjcOSzJ8sgaF27doAno5zJCIiIvOzfPlyySZctra2+OCDDxSsiEyRIAicx2CBZAkMnTt3BgCcPn1ajtsRERGRAd2/fx+rV6+WtL322mvsXaAiaQcGrpRk/mQJDJMnT4atrS0+//xzpKeny3FLIiIiMpClS5eyd4FKrVGjRpLjixcvKlQJGYosgaFVq1ZYtWoV4uLi0KVLF4SHh8txWyIiIqqguLg4rFq1StL2n//8B/Xr11eoIjJ1TZo0kRxfuHABoigqVA0ZgiyTCsaOHQsAaNiwIc6dO4dOnTrB19cXzZo1Q5UqVWBra6v3tdzpmYiISDlz585Fbm6u5tje3h5z585VsCIydU2bNpUcp6Wl4c6dO/D29laoIqooQZQh8tnY2Eh2elbfsqTdn0VRhCAIku3nqewSExPh6+sLAEhISICPj4/CFRERkTk4d+4cgoODJZ8OT548GV999ZWCVZGpKygogLu7O548eaJp++uvv/Dcc88pWBVVhCw9DH5+fiWGAzIc7a7AvLw8hSohIiJzNnv2bElYqFSpEj766CMFKyJzYGNjgyZNmuDkyZOatgsXLjAwmDFZAsOtW7fkuA0REREZSFhYGPbu3Stpmz59Ory8vBSqiMxJ06ZNdQIDmS9ujGCBYmJiJMeFhyQRERGVpKCgADNmzJC01axZE++//75CFZG50Z7HoP3ehMyLLKskERERkfn45ZdfEBUVJWmbP38+XF1dFaqIzE1RgaGgoEChaqiiFA0M+fn5uH//Pu7fv4/8/HwlSyEiIiIAubm5mDNnjqQtMDBQs+IhUWloB4bMzEwOUTdjsgeGS5cuYfLkyWjUqBGcnJxQs2ZN1KxZE05OTmjUqBHeeecdbvBBRESkkHXr1uH69euStsWLF8Pe3l6hisgc1ahRA1WrVpW0cR6D+ZI1MMyePRvNmjXDmjVrcOXKFRQUFEAURYiiiIKCAly5cgVff/01mjdvrvPpBhERERlXeno6FixYIGlr3749Bg4cqFBFZK4EQdDpZWBgMF+yTXqePHky1qxZo1merVGjRmjbti1q1qwJALh37x4iIyNx8eJFqFQqLF26FBkZGVi5cqVcJRIREVm15cuX4/79+5K2pUuXcml0KpcmTZrg8OHDmmMGBvMlS2A4fvw4vv76awiCgMaNG2PdunXo0KFDkeeeOHECb775Js6fP4/Vq1dj6NChes8lIiIiw7h37x6WL18uaevfvz86deqkUEVk7tjDYDlkGZL07bffAgACAgJw/PjxYgNA+/btceTIEdStWxcAsHbtWjlKJCIismoff/wxMjIyNMc2NjZYsmSJghWRudMODJcvX+ZmsmZKlsBw9OhRCIKAWbNmwd3dvcTz3d3dMXPmTIiiiKNHj8pQIRERkfW6evUq1q9fL2kbM2YMGjdurFBFZAmaNGkiOc7Ly0NsbKxC1VBFyBIY7t27BwAIDg4u9WtatmwJAEhKSjJKTURERPTUnDlzoFKpNMdOTk6YP3++cgWRRfD09ETt2rUlbRyWZJ5kCQxOTk4AIOnqLIn6XEdHR6PUREREREBERAR+/fVXSdu7774LHx8fhSoiS8J5DJZBlsAQEBAAANizZ0+pX6M+Vz2XgYiIiAxLFEXMmDFD0ubp6YmZM2cqVBFZGgYGyyBLYOjbty9EUcSqVatw4MCBEs8PCwvDqlWrIAgC+vbtK0OFRERE1ic0NFRnruAHH3wADw8PZQoii6MdGM6dO6dQJVQRgqjeGMGIUlJSUL9+fTx+/Bi2trZ44403MHbsWLRo0QI2Nk8zS0FBAaKjo7Fp0yasX78eeXl5cHd3x7Vr13R2CqSySUxMhK+vLwAgISGB3cxERASVSoXmzZsjJiZG0+bv748rV65wODAZzNmzZzXzUtXS0tJKtQgOmQ5ZehiqVauGn3/+Gfb29sjPz8c333yDkJAQuLq6wtvbGz4+PnB1dUVISAi++eYb5OXlwcHBATt27JAlLMTFxWHq1KkICgqCq6srPD09ERISgmXLliEzM7NC187MzMTOnTsxceJEhISEoEqVKrC3t0fVqlXRvn17zJ8/XzMpnIiISC5bt26VhAUAWLhwIcMCGVTjxo1hZyfd9uvff/9VqBoqL1l6GNSio6PxxhtvICoqqtjzWrdujfXr16N58+ZGr2nPnj0YMWIE0tPTi3w+MDAQoaGhqF+/fpmv/e+//6Jjx4548uRJsedVrlwZ69atw9ChQ8t8j9JgDwMRERWWlZWFwMBAJCYmatqaN2+OM2fOaHr+iQylRYsWkqFIX331FSZPnqxgRVRWsuz0rNaiRQtERkbi1KlT2L9/Py5cuIAHDx4AeDrJqmnTpujZsydCQkJkqefs2bMYOnQosrKy4ObmhtmzZ6Nbt27IysrCtm3bsH79ely9ehX9+vVDVFQUKlWqVKbrp6ena8JCx44d8cILL6B169aoWrUq7t+/j507d2L9+vVIT0/Hf/7zH1SuXBl9+vQxxrdKRESk8dVXX0nCAgAsXbqUYYGMQjswREdHK1cMlYusPQympnPnzjh69Cjs7Oxw5MgRtG/fXvL8smXLNKtHzJs3r8xrUoeHh2PlypWYN2+e3s1vfv/9dwwcOBCiKKJevXqIjY2FIAjl+n70YQ8DERGppaamol69enj06JGmrUePHti3b5/B//tDBABffvkl3nvvPc1xy5Ytcfr0aQUrorKy2sAQGRmJtm3bAgAmTJiAtWvX6pxTUFCApk2b4tKlS/Dw8EBycjLs7e0NXsugQYM0a2CfPn1aZ3JQRTEwEBGR2rRp07B8+XJJW1RUFFq1aqVQRWTpDh06hG7dummOHRwc8OTJE6O8pyLjsNq+x99++03zeMyYMUWeY2Njg5EjRwJ4OqM/LCzMKLUU/kd0/fp1o9yDiIgoLi4Oq1atkrQNGzaMYYGMSntOam5uLi5fvqxQNVQeVhsYjh07BgBwdXUt9g9lly5dNI+PHz9ulFpycnI0j21tbY1yDyIionnz5iE3N1dzbG9vj0WLFilYEVmDKlWqwN/fX9J29uxZhaqh8jB4YLC1tTXol/ZSXIZy6dIlAED9+vWLvUdQUJDOawzt8OHDmseNGjUyyj2IiMi6Xbx4Ed9//72kbeLEiahbt65CFZE1CQ4Olhxz4rN5Mfi7cXOYEpGdnY2UlBQAKHE8f5UqVeDq6oqMjAwkJCQYvJZz584hNDQUAPDMM8+UKzBor3Sh7e7du+WqjYiILMeHH36IgoICzbGrqys++OADBSsia9KiRQvJcHAGBvNi8MAwatSoCr1eFEX8+eefSE1NNVr4ePz4seaxm5tbieerA0NJ+ymUVU5ODl5//XWoVCoAKHe3sHpCMxERUVEiIyOxa9cuSdv777+P6tWrK1QRWZsWLVpIjqOjoyGKIlfmMhMGDwybN28u92t/++03zJs3D6mpqZo2Y7wZzs7O1jx2cHAo8Xz1rpdZWVkGrePtt9/WbGI3atQo9O/f36DXJyIiAqDTk+Dp6YmpU6cqVA1ZI+3A8PDhQ8THx+vMbSDTJOvGbfr8+eefmDdvHs6cOQPgaS9DrVq1MGfOHIwfP97g93NyctI8Ljz5Sx/1pGRnZ2eD1bB48WJs2LABABASEoKvv/663NcqaajU3bt30aZNm3Jfn4iIzNfBgwexf/9+Sdvs2bPh7u6uUEVkjfz8/FClShU8fPhQ03b69GkGBjOhaGDYt28f5s2bh5MnTwJ4GhSqV6+OmTNnYuLEiZI39oZUeMfm0gwzysjIAFC64Uul8e2332LOnDkAnk6q/vPPP+Hq6lru63FfBSIiKoooipg9e7akzdvbG2+99ZZCFZG1EgQBrVu3xr59+zRtUVFRePnllxWsikpLkWVVDx8+jM6dO+P555/HyZMnIYoiPD09sWTJEty4cQPvvfee0cIC8LSHoWrVqgBKnjD88OFDTWAwxPCon376CZMmTQIA+Pv7Y9++fahWrVqFr0tERKTt999/R2RkpKRt7ty5Bu0xJyqt1q1bS45PnTqlUCVUVrIGhvDwcPTs2RPdu3fH8ePHIYoi3N3dsWDBAty8eRMzZsyAi4uLLLU0btwYAHDt2jXk5+frPa/wxiIVXfJ09+7dGDlyJAoKClCrVi0cOHCAvQNERGQUKpVKZ+5C/fr19W5WSmRs2oEhKirKLFbXJJkCQ1RUFPr06YNOnTohLCwMoijCzc0NH330EW7evIkPP/zQYMN9SuvZZ58F8HS40enTp/WeV3iPhI4dO5b7fgcOHMCQIUOQn5+PqlWrYt++fahXr165r0dERFScH3/8ERcvXpS0LViwAPb29gpVRNYuJCREcpyWlobr168rVA2VhVEDw7lz5zBgwAC0bdsW//zzD0RRhIuLC2bOnImbN2/i448/VmzS1UsvvaR5rG9lp4KCAmzduhUA4OHhgW7dupXrXuHh4RgwYABycnLg7u6Ov//+G02aNCnXtYiIiEqSm5uLefPmSdqaN2+OoUOHKlQR0dM5l9pL+apXiyTTZpTAEBMTg0GDBqFly5b4448/IIoinJyc8P777+PGjRtYvHgxPD09jXHrUmvTpg06deoEANi4cSNOnDihc87y5cs1uztPmTJF51OZQ4cOQRAECIKA0aNHF3mf6Oho9OvXDxkZGXB1dUVoaChatWpl2G+GiIiokPXr1+PWrVuStkWLFsHGRpGpi0QAnk581u5l4DwG82DwVZKGDx+OHTt2QBRFiKIIR0dHTJgwAbNmzULNmjUNfbsKWblyJTp27IisrCz07t0bc+bMQbdu3ZCVlYVt27Zh3bp1AIDAwMByrVd9/fp1PPfcc0hLSwMALFy4EO7u7rhw4YLe11SvXp0b6RARUbllZGTgk08+kbR17NgRffv2Vagiov9p3bo1QkNDNcfsYTAPBg8M27dv1zz28vLCO++8A19fX/zzzz/lvubIkSMNUZqO4OBgbN++HSNGjEB6erpmqdPCAgMDERoaKlmKtbSOHj2K5ORkzfF7771X4mvmzZuH+fPnl/leREREAPDVV18hKSlJ0rZ48WLuqEsmQXvi8+nTp6FSqWBra6tQRVQaRtmHQf1HKSUlBXPnzq3wtYwVGACgf//++Pfff7Fy5UqEhoYiMTERDg4OqF+/PgYPHoy3335btpWbiIiIKuLhw4f47LPPJG3qRUeITIF2YMjIyMCVK1c0q1eSaRJEA69nZejxkYIgQKVSGfSa1iYxMVGzh0RCQgKXciUislCzZ8/GkiVLJG1nzpxBcHCwQhUR6fL19ZXsg7VlyxaMGjVKwYqoJAbvYQgLCzP0JYmIiKgE9+7dw8qVKyVtQ4YMYVggkxMSEiIJDKdOnWJgMHEGDwxdunQx9CWJiIioBAsXLkRWVpbm2NbWVmfyM5EpCAkJwa5duzTHERERClZDpcH11YiIiMzczZs3NSv7qY0ZMwaBgYEKVUSkX/v27SXH0dHRyMjIUKgaKg0GBiIiIjM3b9485OXlaY4dHR11Nm4jMhUhISGSVZFUKhWXVzVxDAxERERm7MKFC/jhhx8kbW+99RYXuCCT5erqiubNm0vawsPDFaqGSoOBgYiIyIx9+OGHKLzgoZubG2bNmqVgRUQl69Chg+T4xIkTClVCpcHAQEREZKZOnjyJ33//XdI2depUeHl5KVQRUeloz2MIDw+HgVf6JwNiYCAiIjJTc+bMkRxXrVoV77//vkLVEJWedg9DamoqYmNjFaqGSsLAQEREZIb279+PgwcPStrmzJmDypUrK1QRUen5+/ujZs2akjYOSzJdDAxERERmRhRFnd4FHx8fTJo0SaGKiMpGEASdXgZOfDZdDAxERERmZteuXTh16pSkbd68eXByclKoIqKy057HwB4G08XAQEREZEZUKhU+/PBDSVuDBg0wevRoZQoiKiftHoYLFy4gLS1NmWKoWHZKF0CG16RJE8lx4c18iIjIvP3www+4dOmSpO2TTz6BnR3/k07mpWXLlnB0dEROTg6Ap0Ptjh07hhdeeEHhykgbexiIiIjMRE5Ojs4Ozi1atMDgwYMVqoio/JycnNCuXTtJ2+HDhxWqhorDjyMsUExMjOQ4MTERvr6+ClVDRESGsm7dOsTFxUnaPv30U9jY8PM/Mk9dunSRhIRDhw4pVwzpxb8wREREZuDJkydYuHChpK1Tp054/vnnFaqIqOK6du0qOT5z5gzS09OVKYb0YmAgIiIyAytXrkRycrKk7dNPP4UgCApVRFRx7dq1g4ODg+a4oKAAx44dU7AiKgoDAxERkYl78OABli1bJmnr27cvnn32WYUqIjIMZ2dntG3bVtLGeQymh4GBiIjIxH322Wd49OiRpG3RokUKVUNkWF26dJEccx6D6WFgICIiMmF3797FV199JWkbNmwYWrRooUxBRAamPY/h9OnTePz4sTLFUJEYGIiIiEzYggULkJWVpTm2tbXFggULFKyIyLDat28Pe3t7zbFKpcLx48cVrIi0MTAQERGZqNjYWKxfv17SNm7cODRo0EChiogMz8XFBW3atJG0HTx4UKFqqCgMDERERCbqo48+gkql0hw7OTlh7ty5ClZEZBzdunWTHP/zzz8KVUJFYWAgIiIyQWfOnMH27dslbe+88w68vb0VqojIeJ577jnJ8blz53Dv3j2FqiFtDAxEREQmaM6cOZJjDw8PzJw5U6FqiIyrbdu2qFSpkqSNvQymg4GBiIjIxISFheHvv/+WtM2cOROenp4KVURkXPb29ujRo4ekTfvfACmHgYGIiMiEiKKIWbNmSdpq1aqFd955R6GKiOShPSxp3759KCgoUKgaKoyBgYiIyITs2rULkZGRkrZ58+bBxcVFoYqI5NG7d2/J8f379xEdHa1MMSTBwEBERGQi8vPz8cEHH0jaGjRogLFjxypUEZF86tati/r160vaOCzJNDAwEBERmYjvvvsOly9flrQtXLhQsqkVkSXTHpbEic+mgYGBiIjIBGRmZmL+/PmStpYtW2LQoEHKFESkAO3AcOzYMaSlpSlTDGkwMBAREZmAL774AomJiZK2JUuWwMaG/6km69GtWzc4ODhojvPz87F3714FKyKAgYGIiEhx9+7dw5IlSyRtPXr0QM+ePRWqiEgZbm5uOsur/v777wpVQ2oMDERERAqbN28enjx5ojkWBAGff/45BEFQsCoiZQwYMEByvHfvXuTm5ipUDQEMDERERIq6cOECNmzYIGkbNWoUWrRooUxBRArr37+/5Dg9PR2HDh1SphgCwMBARESkqBkzZkg2p3JxccHChQsVrIhIWbVr10abNm0kbRyWpCwGBiIiIoXs27dPZ0LntGnT4O3trVBFRKZBe1jS7t27IYqiQtWQIPKnb3GaNGkiOc7Ly0NsbCwAICEhAT4+PkqURUREhahUKgQHB+P8+fOatpo1ayI2NhZubm4KVkakvJiYGDRt2lTSFhUVhVatWilUkXVjDwMREZECNmzYIAkLwNNN2hgWiIDGjRujXr16krZffvlFoWqIPQxWIDExEb6+vgDYw0BEZAoePHiAwMBApKamatqaNWuGM2fOwNbWVsHKiEzHjBkzsGzZMs1xnTp1cOPGDa4epgD2MBAREcnso48+koQFAFixYgXDAlEhw4cPlxzfunULERERClVj3RgYiIiIZBQdHY21a9dK2gYNGqSzWRWRtWvRogUaNmwoafvpp58Uqsa6MTAQERHJRBRFTJ48WbKMqrOzM5YvX65gVUSmSRAEnV6Gn3/+Gfn5+QpVZL0YGIiIiGTy3//+F8eOHZO0zZ49G35+fgpVRGTatANDUlISN3FTAAMDERGRDNLS0jBt2jRJW0BAAKZPn65QRUSmLzAwEC1btpS0cViS/BgYiIiIZDB79mzcu3dP0vbFF1/AyclJoYqIzIN2L8OOHTvw5MkThaqxTlxW1QpwWVXT9fDhQxw6dAgXLlxASkoKnJycULduXXTs2BFNmjTh0nFEFiI8PBwdO3aUtPXp0wehoaH8d05Ugtu3b8PPz08y92fTpk0YM2aMglVZFwYGK8DAYHrOnTuHxYsX49dff9U7eatp06Z49913MWrUKNjZ2clcIREZSm5uLlq2bImYmBhNm4uLC2JiYlCnTh3lCiMyIy+88AJCQ0M1x+3bt0d4eLiCFVkXDkkiklFGRgYmTpyI4OBgbN++vdiVHi5cuIDXX38dLVq0wJkzZ2SskogMadmyZZKwAAALFixgWCAqg9dff11yfOLECZ1/V2Q8DAxEMjl//jxat26NtWvXoiwdezExMWjXrh0+//zzMr2OiJQXGxuLTz75RNIWHByMKVOmKFQRkXnq168fatasKWnbsGGDQtVYHwYGIhmEhYWhY8eOuHz5ss5zjo6O6N69O8aOHYtBgwYVOWQsLy8P06dPx8SJE7n+NJGZUKlUGDduHHJycjRtNjY2WL9+PYcZEpWRvb09Ro8eLWnbunUrsrOzlSnIyjAwEBnZ77//jueffx6PHz+WtLu4uODjjz/GnTt3cODAAWzcuBE7duxAXFwc9u7di+bNm+tc69tvv8XQoUORl5cnV/lEVE4rV67E0aNHJW1TpkxBq1atFKqIyLyNGzdOcvzgwQNs375doWqsCyc9WwFOelbOwYMH0adPH+Tm5kraW7ZsiW3btqFBgwZ6X5ubm4uPP/4Yixcv1hmK9Oqrr2Lr1q2wtbU1St1EVDGXLl1CcHCwpHchICAA//77L9zc3BSsjMi89ejRAwcPHtQcN2vWDNHR0VxtzMjYw0BkJGfPnsVLL72kExZeeeUVhIeHFxsWAMDBwQGLFi3Czz//DEdHR8lz//3vf/HOO+9wTgORCcrPz8fIkSMlYUEQBGzZsoVhgaiC3n33Xcnxv//+iwMHDihTjBVhYCAygri4OPTp00dnGNLYsWOxfft2nQBQnEGDBuGvv/6Cs7OzpH3NmjVYs2aNQeolIsNZtGgRoqKiJG3vvfceOnfurFBFRJajX79+CAwMlLStWLFCoWqsBwMDkYHl5uZi6NChSEpKkrQPGjQI69atK9cwoq5du2LXrl1wcHCQtE+ZMgX79u2rUL1EZDhHjx7FggULJG1BQUFYuHChQhURWRYbGxu89957kra9e/fi4sWLClVkHRgYiAxszpw5OHnypKStW7du+OGHHyo05+C5557Dd999J2lTqVQYMmQIrl+/Xu7rEpFhpKam4tVXX5XsRmtra4vvvvtOp4eQiMpv5MiRqFq1qqRt2bJlClVjHRgYiAxo9+7dWL58uaStXr162LVrV5mGIekzbNgwfPTRR5K2tLQ0DBkyhEvLESlIFEWMGTMGiYmJkvYFCxagTZs2ClVFZJlcXFwwceJESdv333+Pa9euKVSR5WNgIDKQuLg4nTWiHRwcsGPHDri7uxvsPvPnz8crr7wiaTtz5gymTp1qsHsQUdmsXLkSe/bskbT16NEDM2fOVKgiIss2efJkuLi4aI5VKhU+/vhjBSuybAwMRAagnrfw8OFDSfuXX36J4OBgg97LxsYGW7ZsQVBQkKR9zZo1XI+aSAGHDh3CtGnTJG1eXl74/vvvufQxkZFUr14dkydPlrT9+OOPnMtgJAwMRAZQ1LyFIUOG4M033zTK/dzc3LBjxw6dcdHjx49HbGysUe5JRLri4+MxePBgqFQqSfvWrVtRq1Ythaoisg7Tp09HpUqVNMeiKGL+/PnKFWTBGBiIKmjPnj1FzltYv369UTeSadq0Kb7++mtJ2+PHjzmfgUgmWVlZGDhwIFJSUiTtH3zwAZ5//nmFqiKyHlWrVtXZl2HHjh06H+BRxXGnZwvUpEkTyXFeXp7mU2fu9GxY8fHxaNGihWQokoODAyIiIgw+FEmf0aNH66ye9Pbbb2PVqlWy3J/IGhUUFGDEiBH46aefJO39+vXD7t27YWPDz+OI5JCWloaAgACkpaVp2kJCQhAREcF/hwbEnyRROeXl5RU5b+GLL76QLSwAwNdff41GjRpJ2lavXo2dO3fKVgORtZkzZ45OWGjQoAF++OEHvkkhkpGHhwc++OADSdupU6ewZcsWZQqyUOxhsAKJiYnw9fUFwB4GQ5o+fTo+//xzSdvgwYOxfft2ow5FKsqFCxcQEhIiGYrk7u6Os2fPIiAgQNZaiCzd119/jbffflvS5ubmhpMnT6Jx48YKVUVkvXJzc9GsWTNcuXJF0+bl5YWrV6/Cw8NDucIsCD8GISqHPXv26IQFOeYt6NO0aVOdIUiPHj3CsGHDkJubK3s9RJZq165deOeddyRttra22LFjB8MCkUIcHBywcuVKSdv9+/cxY8YMhSqyPAwMRGUUHx+PUaNGSdocHBzw888/G3S/hbIaN24chg8fLmmLjIzU6aolovL5448/MHToUMlOzgCwbt06TnImUthzzz2HAQMGSNrWr1+PvXv3KlSRZWFgICqD3NxcDB48WGfewooVK9CyZUuFqnpKEASsXbsW9evXl7R//vnnCA0NVagqIsvw119/4ZVXXkFeXp6kff78+Rg7dqxCVRFRYV9++SVcXV0lbePGjcODBw8UqshyMDAQlcHUqVMRGRkpaRs0aBAmTZqkUEVSlStXxvbt2+Hg4CBpHzVqFBITExWqisi8/fPPP3jppZd0hveNHz8ec+fOVagqItJWp04dnWXO7969i4kTJ4JTdiuGgYGolLZt24bVq1dL2urVq4cNGzYoMm9Bn5YtW+r8wUxNTcWrr76K/Px8haoiMk/bt2/HCy+8gJycHEn7qFGjsHbtWpP6t09EwBtvvKEzRPDnn3/GV199pVBFloGBgagULl68iNdff13S5uTkhF9//VXReQv6vPXWWxg4cKCk7ejRo/jwww8VqojI/KxatQrDhw/XGYb0n//8Bxs3buTyqUQmSBAEbNiwQWd1pKlTp+Lw4cPKFGUB+NeOqAQpKSno378/MjIyJO1r1qxB8+bNFaqqeIIgYOPGjfD395e0L126FFu3blWoKiLzoFKpMHPmTLzzzjs6wxiGDx+OLVu2wNbWVqHqiKgk3t7eOhuaqlQqDB48GDdv3lSoKvPGwEBUjJycHLz88su4ceOGpH3cuHEYM2aMQlWVTpUqVbB9+3bY2dlJ2sePH49jx44pVBWRaXvw4AH69euHzz77TOe5t956C99//73OvykiMj0vvviizhyj+/fvo1evXrh3755CVZkvBgYiPURRxIQJE3D06FFJe6tWrXT2PDBVbdu21Zl3kZubi4EDB+qEICJrd+7cOYSEhODvv//Wee6TTz7BqlWr2LNAZEbmzZuHfv36SdquX7+O3r1766x2SMVjYCAqgiiKmDZtmk6Xpre3N3bv3g1nZ2eFKiu7CRMmYMqUKZK2lJQUPPfcc7h7965CVRGZjoKCAixfvhxt2rTRCdJ2dnZYv349PvzwQ05wJjIzNjY2+OGHH9CsWTNJ+/nz59GjRw8kJSUpVJn5YWAgKsInn3yCFStWSNpcXFywZ88e1K5dW6Gqym/58uXo27evpO3atWvo2bMn7t+/r1BVRMqLi4tDz549MW3aNJ1lU2vUqIGwsDCdBQ+IyHx4eHjg77//Rr169STtZ8+eRceOHdnbXkoMDESFiKKIBQsWYN68eZJ2W1tb/PTTTwgODlaosopR1//MM89I2i9evIhevXrxUxayOrm5uViyZAkaN26MsLAwnefbtm2L06dP49lnn1WgOiIypJo1a2L//v06H/hdv34d7du3x6FDh5QpzIwwMBD9v4KCAkyZMkUnLAiCgC1btuDFF19UqDLDqFy5Mv7++2+dnaDPnTvHT1nIaoiiiL/++gvNmzfH7NmzkZmZKXleEARMmzYNhw8fhre3t0JVEpGh1alTB4cPH0ZAQICkPTk5GT169MDSpUtRUFCgUHWmj4EBT7ukp06diqCgILi6usLT0xMhISFYtmyZzn9MKmLv3r0YOHAgfHx84OjoCB8fHwwcOBB79+412D2ofB4/foyhQ4cWOZl5zZo1GDFihAJVGV6tWrVw4MABneVWr1+/jg4dOiAiIkKhyoiM78iRI+jcuTP69OmDy5cv6zzv6+uLgwcPYtmyZXB0dFSgQiIypvr16+P48eM6S6IXFBRg1qxZ6N69O2JjYxWqzsSJVm737t1i5cqVRQBFfgUGBoqxsbEVuodKpRLHjRun9x4AxNdff11UqVQG+q6kEhISNPdJSEgwyj3M2aVLl8RGjRrp/H8iCIK4Zs0apcszimvXrol16tTR+Z7t7e3FlStXigUFBUqXSGQQ+fn54q5du8TOnTvr/fsrCII4YcIE8eHDh0qXS0QySEtLE/v06VPk3wMnJydxwYIF4pMnT5Qu06RYdWA4c+aM6OzsLAIQ3dzcxEWLFonh4eHigQMHxPHjx0tCQ3p6ernvM2vWLM21goODxZ9++kmMjIwUf/rpJzE4OFjz3OzZsw343f0PA0PR8vPzxZUrV4qurq46fzDs7OzEn376SekSjerOnTti8+bNi/yD+eKLL/J3hcza7du3xc8++0ysV69esR/WtG7dWoyMjFS6XCKSmUqlEhcsWCAKglDk34aaNWuKa9asEbOyspQu1SRYdWDo1KmT5s1heHi4zvOfffaZ5hdn3rx55brHlStXRDs7O81/mDIzMyXPZ2RkiK1bt9bUUdHejKIwMOg6efKk2K5duyL/SHh4eIh///230iXKIi0tTezevXuRP4dKlSqJX375pZiTk6N0mUSlkpqaKm7dulXs1auXaGNjU2xQ8Pf3Fzdt2iTm5+crXTYRKejAgQNF9rirv6pXry5+/PHHYmJiotKlKspqA8PJkyc1vwwTJkwo8hyVSqUZquLh4SHm5uaW+T4TJ07U3OfEiRNFnnPixAnNOZMmTSrzPUrCwPA/UVFR4oABA/T+YWjevLl4/fp1pcuUVV5enqQXTPvLz89PXLdunZidna10qUQSeXl54unTp8XFixeLzz77bIkhAYBYq1YtcfXq1fx9JiKNx48fi1OmTNHb26AeutizZ09x8+bNYkpKitIly85qA8Ps2bM1vwQRERF6z1u8eLHmvLJ+6lxQUCDWrl1bBCAGBQUVe27Dhg1FAKK3t7fBx49be2C4f/++uH79ejEkJKTYNxITJkwQMzIylC5XMXv27BG9vLz0/nw8PT3F9957Tzx79iznOJDsCgoKxFu3bom7d+8W58+fL/bq1Ut0c3MrMSCov1q0aCF+9913DApEpNfZs2fF559/vsS/JzY2NmK7du3E+fPni/v37xfT0tKULt3oBFEURVihzp074+jRo3B1dUVaWhrs7OyKPO/EiRPo0KEDAGDu3Ln4+OOPS32PGzduaDYKmTBhAtauXav33AkTJmDdunWa12kv+1URiYmJ8PX1BQAkJCTAx8fHYNc2Renp6Th58iTCw8Nx8OBBHDt2rNil0ho0aID169ejS5cuMlZpmlJTUzFjxgxs2rSp2PN8fX3Rr18/dOjQAe3atUP9+vW5Cy5VmEqlQnJyMm7evCn5unr1Kv7991+kp6eX6XqVKlXCoEGDMHr0aHTq1Im/o0RUKmFhYVi8eDH27dtXqvMFQUBQUBBatmyJoKAgBAYGomHDhmjQoAFcXFyMXK08in6XbAUuXboE4OkSW/rCAgAEBQXpvKa0Ll68WOR1SnMfQwYGS5Cfn4+srCxkZmYiMzMTqampSE5Oxv379zVvMGJjY3H16lUkJCSgNDm4atWqmD17NiZNmgRnZ2cZvgvTV7VqVWzcuBGjR4/GnDlzcOzYsSLPS0hIwNq1azUh2N3dXfPHsV69eqhRowZq1KiB6tWro3r16nBzc4OLiwtcXV1hb2/PN24WQqVSIS8vD3l5ecjNzZX8b05ODp48eYLHjx/r/O/jx4/x6NEjJCcnS75SUlIqvA66s7MzevbsieHDh2PAgAEW8x9rIpJPt27d0K1bN/z777/46quv8PPPP+Px48d6zxdFEZcuXSryfaKHhwdq166NWrVqoXbt2ti6dasxSzcaqwwM2dnZSElJAYASP22vUqUKXF1dkZGRgYSEhDLdJzExUfO4pPuoewAAVOg+Rbl7967m8fPPPw8HBweIT4ejAYDkf+VuK+75goICZGdnIysrC3l5eWX6mRTHx8cHEydOxOTJk1GpUiWDXdeSdOrUCUeOHMGBAwewePFiHDx4sNjzHz16hMjISERGRpZ4bVtbW7i6usLBwQG2trbFftnY2JQYLoz9PABJANX+nS2qzVLPz8/Pl4QCU9nkqH79+ujduzdeeOEFdO3alR8AEJFBNGvWDBs2bMCqVauwe/du/Pjjj9i/fz+ysrJKfY20tDSkpaVpPkRmYDAjhVOim5tbieerA8OTJ0+Mdh9XV1fN47Lep3DYKElMTEyZrm0pnJ2d8fzzz2P06NHo27dvsb1K9JQgCOjZsyd69uyJa9euYcOGDfj5559x8+bNCl1XpVKVeWgJkZqHhweaNWuGVq1aoVOnTujQoQNq1KihdFlEZMGcnZ0xdOhQDB06FNnZ2Th69Cj27t2L48ePIzo6Grm5uUqXaHRW+a4pOztb89jBwaHE89U7fpYlUZb1PoV3FS3rfUiXg4MDWrZsiQ4dOqBLly7o2bMnhyZUQP369bFkyRIsXrwYFy9eRGhoKE6cOIETJ04gKSlJ6fLIwjg4OKBOnToICAjQfDVt2hTNmjWDt7c3h7QRkWKcnJzQq1cv9OrVCwCQk5ODc+fOITIyEpcuXcLVq1dx5cqVMo8WMXVWGRicnJw0j0uTCnNycgCgzN3cZbmP+h7luU9Jv5R3795FmzZtynRNU2dnZ4fq1avDy8sL1atXR+3atdGgQQMEBgZqJhsV/vmTYQiCgCZNmqBJkyYAng5TiY+Px6VLlzRzSBITE5GUlITk5GQkJSWVuceMLIezszPc3NxQqVIlVKpUSfPYzc0NlStX1vz7rV69umTOS40aNWBjY6N0+UREJXJ0dESbNm103meph7LfuXMHd+/e1fyvubLKwFB43Hpp3sxkZGQAKN3wpfLeR32P8tynLKseffHFF6hatSqAp2/+1J/UFf5fU2hTP3Z2doazszNcXFwk/+vq6spPGU2AIAjw9/eHv78/nn/++SLPyc3NRUZGhmbCekZGBjIyMpCXlweVSlXsl74x8sVNatf3XHlfo/27WvhxcW3mfn5RbXZ2drC3t4eDg0Op/tfW1hZERNbI1dUVQUFBJS56Yy6sMjA4OTmhatWqSE1NLXHC8MOHDzVv5ssyVwCQvpEv6T6FewnKep+yGDRokMUvq0qmxcHBAQ4ODqhSpYrSpRAREVE5WG2fb+PGjQEA165dQ35+vt7zLl++rHncqFGjct1D+zqGvg8RERERkbFYbWB49tlnATwdCnT69Gm95x0+fFjzuGPHjmW6R0BAAGrXrq1znaIcOXIEAODt7Y06deqU6T5ERERERMZitYHhpZde0jzevHlzkecUFBRo1sv18PBAt27dynQPQRAwYMAAAE97ECIiIoo8LyIiQtPDMGDAAI7NJyIiIiKTYbWBoU2bNujUqRMAYOPGjThx4oTOOcuXL9fs2jdlyhTY29tLnj906JBmgu7o0aOLvM+7776rmfg3efJknSVTs7KyMHnyZABPJxS+++67Ffm2iIiIiIgMymoDAwCsXLkSzs7OyM/PR+/evbF48WJEREQgLCwMEyZMwIwZMwAAgYGBmDp1arnuERgYiOnTpwMAoqKi0LFjR2zfvh1RUVHYvn07OnbsiKioKADA9OnT0aBBA8N8c0REREREBmCVqySpBQcHY/v27RgxYgTS09MxZ84cnXMCAwMRGhoqWSK1rBYtWoTk5GRs2rQJZ8+exbBhw3TOGTduHBYuXFjuexARERERGYNV9zAAQP/+/fHvv//ivffeQ2BgIFxcXODh4YHWrVtj6dKlOHv2LOrXr1+he9jY2GDjxo0IDQ3FgAEDULt2bTg4OKB27doYMGAA/vzzT2zYsIEbFRERERGRyRHE4nYzIouQmJio2dshISGB+zAQERERUanxI20iIiIiItKLgYGIiIiIiPRiYCAiIiIiIr0YGIiIiIiISC8GBiIiIiIi0ouBgYiIiIiI9GJgICIiIiIivRgYiIiIiIhILwYGIiIiIiLSi4GBiIiIiIj0YmAgIiIiIiK97JQugIwvPz9f8/ju3bsKVkJERERk3WrWrAk7O/N6C25e1VK53L9/X/O4TZs2ClZCREREZN0SEhLg4+OjdBllwiFJViApKUnpEoiIiIgI5jnagz0MViAoKEjzODw8HL6+vuW6Tvfu3QEABw8erFA9hriOqdRy9+5dTa9NZGQkatWqpVgthrqGKdViqJ+vqXw/plSLKf1sDXUdU6mFfxeMdw3+bI17Df5dMN51Cv9svby8KlSLEhgYrICTk5Pmsa+vb7m7wezt7QGgwt1ohriOKdWiVqtWLcW/J1P6uRjyZwtU7OdrSt+PKdWipvTP1lDXMaVa1Ph3wTi1APzZGqsWNf5dMM51AJjd/AWAQ5KIiIiIiKgYDAxERERERKQXAwMREREREekliKIoKl0EGVdiYqJmorM5LuVlyvizNS7+fI2HP1vj4c/WePizNS7+fI3H3H+27GEgIiIiIiK9GBiIiIiIiEgvBgYiIiIiItKLcxiIiIiIiEgv9jAQEREREZFeDAxERERERKQXAwMREREREenFwEBERERERHoxMBARERERkV4MDEREREREpBcDAxERERER6cXAQEREREREejEwEBERERGRXgwMRERERESkFwODiUhPT8e2bdswdepUdOnSBfXr14e7uzscHBxQvXp1dO3aFZ999hlSU1P1XuPQoUMQBKFUX/Pnzy+xpvz8fKxduxadOnWCl5cXnJ2dUa9ePUyYMAExMTEG/O6VNXPmTMnP5tChQyW+Zu/evRg4cCB8fHzg6OgIHx8fDBw4EHv37i31fa3h51van+2WLVtK/bu7ZcuWEu+bmZmJzz77DCEhIfD09ISrqyuCgoIwdepUxMXFGfabNLLS/ly6du1a4rX4e6uroj9f/u6WXnx8PObNm4fWrVvDy8sLTk5O8PX1RadOnTB37lxcuHCh2Nfz91e/8vxs+btbtK5du5b651Ka9w0W83srkknYt2+fCKDEr2rVqol//fVXkdcICwsr1TUAiPPmzSu2nvv374shISF6X+/o6CiuX7/eCD8JeZ09e1a0s7OTfG9hYWF6z1epVOK4ceOK/dm+/vrrokqlKva+1vDzLcvPdvPmzaX+3d28eXOx942NjRUbNGig9/WVK1cW9+zZY/hv2EhK+3Pp0qWL3mvw91a/iv58+btbOl999ZXo6upa7M9nypQpRb6Wv7/FK+/Plr+7RevSpUupfy4ARBsbGzExMVHnOpb2e2sHMhm+vr7o1q0bWrVqBV9fX9SqVQsFBQVITEzEL7/8gp07dyIlJQUvvvgiIiMj0bx5c73X2rRpE0JCQvQ+X716db3PqVQqDBw4EKdOnQIAvPzyyxg/fjw8PT1x8uRJLFy4EMnJyZgwYQK8vb3Rp0+f8n/TCiooKMAbb7yB/Px8VK9eHcnJySW+5oMPPsDGjRsBAMHBwZgxYwbq1auH69ev47PPPsPZs2exYcMGeHl54dNPPy3yGtbw8y3Pz1bt77//Ru3atfU+7+Pjo/e5x48fo1+/foiNjQUAjB8/HsOGDYOzszPCwsKwePFipKenY+jQoTh+/DhatGhR6rqUNnHiREyaNEnv866urnqf4+9tySry81Xj727RFi5ciI8++ggAEBgYiPHjxyMkJATu7u5ITU3F2bNnsWvXLtjYFD3ogb+/+lX0Z6vG393/2bx5MzIyMoo95+LFi//X3p2Hx3T1cQD/jkwWk0UkQZMgEZGIpUJjT1G8qkrtXWiF2oqq6luqpZZ6UbpoXxSl1ha1b221lkRCgghRqcZSsUcbgpDIft4/8tz7TjJzZyaTiSST7+d58hg555575pcfmXPPPefilVdeAQB06dIF3t7eOnWsLm9LfUhCJsnNzTVaZ8eOHfKIsm/fvjrl2jMMhq6SG/Pdd9/J7YwdO1an/OLFi8LFxUUAEP7+/iInJ8fsc5WlhQsXCgCiYcOG4sMPPzQau/Pnz8tXzENCQkRGRkah8vT0dBESEiIACLVaLS5evKi3ncoQ3+LGVvtKV1JSktnn/fjjj+V2FixYoFN+9OhR+Wdo6Ip8eSK9H2OzgkqYt4aVNL7MXcMOHDggv68hQ4aI7OxsxbpZWVk632P+KitpbJm75ps8ebL8ntevX69Tbo15ywFDBRMYGCiAgluTirLUgCEoKEgAEG5ubiI9PV1vnXnz5snn2rx5s9nnKitXr14VTk5OAoCIiIgQM2bMMBq7MWPGyHViYmL01omJiTH4j1sI64+vObG1xC+u7OxsUa1aNQFABAUFKU7zjh49Wj7XiRMnzDrXk1TSD7TMW8PKw4DBWnM3Ly9Pvk2lWbNmZn2YYf7qZ4nYMnfNk5eXJ7y9vQUA4eTkpDefrDFvuei5gnF2dgYAZGZmlkr7Fy5cwJ9//gkAePnll6HRaPTWGzp0qPx6x44dpdKX0jRu3Dg8evQIYWFh6Nixo9H6Qgjs2rULANCwYUO0adNGb702bdogMDAQALBr1y4IIQqVV4b4Fje2lhIeHo4HDx4AAMLCwhSn4CtybIuLeVsxWGvu/vbbb/JtKh988AHU6uLdBc38VVbS2FqKteauIQcPHsTNmzcBAAMGDNDJJ2vNWw4YKpDz588jPj4eQEESloYjR47Irw192HvqqacQEBAAADh69Gip9KW0bN68GXv37oWbmxs+//xzk45JSkrCrVu3ABiOi3b5zZs3ceXKlUJl1h5fc2JrKabGNiQkRP6PtyLF1hzM24rBWnN3y5YtAAp2ourZs6f8/dTUVFy8eBGpqakGj2f+KitpbC3FWnPXkHXr1smvhwwZolNurXnLAUM5l5GRgYsXL+LLL79Ex44dkZubCwB49913DR43depU+Pj4wN7eHtWrV0fz5s0xceJEXLhwweBx586dk18bG5RI5devXze6QKi8uH//PiZMmAAAmD9/Pjw8PEw6zpy4AJCvDpSknYoSX3NjW9SwYcPg5eUFOzs7eHh4oE2bNpg2bZp8RUeJqbFVq9Xw9/cHoPvzKc+2bNmCRo0aQaPRwNnZGQ0aNEBYWBjCw8MVj2Hems6c+BbF3C3s2LFjAABfX184Oztjw4YNaNq0Kdzd3REQEAB3d3cEBgbi888/R1ZWls7xzF9lJY1tUcxd0zx69Ei+iu/j46N3u2VrzVsOGMoh7b2RHR0dERAQgH//+9/4+++/AQBTpkzBoEGDDLYRHR2Na9euITs7G/fv30d8fDy++uorBAUFYebMmTpTX5IbN27Irw3tigAU7OoEFEy/aR9Xnk2ePBm3b99G+/btMXz4cJOPMycuQME/3pK2U1Hia25si4qIiEBycjJycnJw9+5dHD9+HHPmzIG/vz+WL1+ueJwUI0dHR7i6uho8hxTblJQUk36Zlgfnzp3Dn3/+icePH+PRo0e4dOkS1q1bh86dO6Nv377ybQHamLemMye+RTF3/y8/Px+JiYkAAA8PD0yYMAGDBw/WeR7AhQsXMGnSJHTu3Bn3798vVMb81c8SsS2KuWuabdu2yR/IX3/9dahUKp061pq33Fa1AgkODsa3335rcLtUT09P9OvXD6GhofDz84Narca1a9ewd+9erFu3Djk5OZg1axays7P1buP18OFD+bWTk5PB/mhvM/jo0SMz3tGTFRUVhZUrV0KtVmPZsmV6/6ErsVRcrDW+JYmtxM/PD/369UPbtm3l//wuX76Mbdu2YevWrcjMzMRbb70FlUqFUaNG6RwvxdZYXAHd2Nrb2xe7v0+KRqPBSy+9hC5duqBhw4ZwcnJCSkoKDh8+jGXLluHu3bvYuXMnevfujf3798PW1lY+lnlrXEniK2Hu6nrw4AHy8/MBAGfPnkVsbCw8PT3x2WefoUePHnBwcEBsbCw++OADHDt2DNHR0XjzzTexfft2uQ3mr36WiK2EuVs8xm5HAqw4b0ttOTWZ7d69e+Ls2bPi7Nmz4sSJE2Ljxo2ib9++AoCoX7++4sNPHj16ZHBbtePHj8u7GahUKhEfH69Tp3PnzvJqe2MPE9HeSi0qKqp4b/IJy8rKEg0bNhQAxKRJk3TKje3k88knn8jlBw8eNHiugwcPynVnz55dqMwa41vS2AohxP3790V+fr7iOfbs2SNsbW0FAKHRaERycrJOHT8/PwFA1KlTx2if33jjDblP169fN1q/LN27d0+x7Pbt26J58+bye/n6668LlTNvjStJfIVg7iq5fv263E/pvScmJurUy8jIEM2aNZPrHTt2TC5j/upnidgKwdwtruvXr4sqVaoIAKJNmzaK9aw1b3lLUjnk6uqKJk2aoEmTJmjZsiVeffVVbN++HevWrcPly5fRu3dvvY9pd3R01Hv1S9KqVSssXrwYQMG0lfRam4ODg/w6OzvbYD+1pxSrVq1q7G2Vqblz5yIxMRF169bFjBkzin28peJijfEtaWwBoFq1agZnJXr27Inp06cDKFjXIz0MR5sUW2NxBSpObAEYnOavVasWtm7dKv+7X7RoUaFy5q1xJYkvwNxVop0zADBixAh5RxhtVatWxZw5c+S///jjj3rbYP7+nyViCzB3i+v777+XZ3bCwsIU61lr3nLAUIG88cYbGDhwIPLz8/H222+btQvCq6++ChcXFwDA4cOHdcqlbVsB49Na2gtrTJmOLCuJiYmYN28egIJf+KY8sbUoS8XF2uJridiaatSoUfIvN0O5a8p0bEWIran8/Pzwr3/9CwBw6dIleXcOgHlrCYbia6rKmLvaOQMA3bp1U6zbpUsXeVtQ6Ym2Rdtg/v6fJWJrqsqYu0rWr18PALC3t5ef8qyPteYtBwwVTO/evQEUJMe+ffuKfbxarZa339K3+4H2whpjC2ekBToqlcrogpyytHDhQmRnZ8PPzw8ZGRnYtGmTzpf2YrFDhw7J35f+EZoTF6DwgiZz2ynP8bVEbE1Vs2ZNuLu7AzCcu+np6UYX+EmxrVGjRoW8j7aoRo0aya+1Y8O8tQyl+JqqMuauvb09atSoIf+9aE5pc3BwkHdVS0lJkb/P/NXPErE1VWXMXX1Onjwp71rUs2dPVK9eXbGuteYtFz1XMNr/SVy9etWsNgxNQWr/YkxMTERwcLBiXWmXhjp16pTqleWSkqbqLl++jNdee81o/dmzZ8uvk5KS4OjoqBMXQ7TLg4KCCpVZW3wtEdviMJa727ZtA1AQO6WH5eTm5uKvv/4CoPvzqaiU4sK8tQxzFvEXpw1rzd3GjRsjIiICAJCXl2ewrlSu/QAy5q+yksa2OCpj7halvdjZ0O1IgPXmLWcYKhjtEb450065ubnysxi8vLx0ykNDQ+XX+qYfJbdv35bbad++fbH7UdHUq1dPjpehuABAZGQkAMDb2xu+vr6Fyhhf86WkpODOnTsASpa7J0+elGc3rCW22vt1a8eGeWsZSvE1VWXN3Q4dOsivL1++rFgvLS1Njo+3t7f8feavspLG1lSVNXe15eTkYNOmTQAKLtq+8MILButbbd6WylJqKjU9evQwuuOMId9//718/PDhw/XWCQoKEgCEm5ubSE9P11tn3rx5cjubN28udj/KG1N28hkzZoxcJyYmRm+dmJgYuc7YsWP11qls8TUltqb4z3/+o7ibhBAFuzVJu4AFBQUp7v4xevRouZ0TJ06Y3Z/y4vLly8LOzk7eRa0o5m3JGIuvKSpr7p45c0bu7+DBgxXrrVmzRjE+zF/9LBFbU1TW3NW2a9cuue8TJkww6RhrzFsOGMqJ1atXi8ePHxus8+WXX8pJUa9ePZGbmyuXpaamGv0wdvz4ceHq6iqAgm1VT548qbfed999J59n3LhxOuWXLl0SLi4uAoDw9/cXOTk5xt9gOWfKh9rz588LGxsbAUCEhISIjIyMQuUZGRkiJCREABBqtVpcuHBBbzuVLb7GYpuUlCROnTplsI09e/bIH9qqVq0qbty4obee9tZyCxYs0CmPjo4WarVaABAdO3Y05+08Ubt37zb48y+67ecXX3yhU4d5q6yk8WXuGvfCCy8IAKJKlSriwIEDOuXJycmidu3aAoCws7PTiQ/zV1lJYsvcNV3//v3l9xcXF2fSMdaYtxwwlBM+Pj7Czc1NjBw5Uqxdu1YcOXJExMfHi6ioKPHNN9+I9u3by0ljZ2cn9u/fX+j4pKQkAUA8/fTTYvr06WLXrl3ixIkTIi4uTuzYsUMMHz5c/ocP6N8vX5Kbm1vofP379xf79u0Tx48fF4sWLRI1a9aU/5P6+eefSzs0T4SpV8GnTJki12vevLnYtGmTiI2NFZs2bSr0weLDDz9UbKOyxddYbMPDwwUA0bZtWzF37lzx008/idjYWBEbGyt+/PFHMXDgQKFSqeQ2lixZoniutLQ0ERAQINcdNWqUOHTokIiJiRFz584VTk5O8i+/06dPl96bthAfHx/h5eUlxo8fLzZs2CCio6PF6dOnxf79+8XUqVOFh4eH/F5DQ0NFZmam3naYt/qVNL7MXePOnz8vX6hycHAQU6ZMEZGRkSI2NlYsWbJE/kALQMyfP19vG8xf/UoSW+auaVJTU4W9vb0AIJo0aVKsY60tbzlgKCd8fHzkhDD0Vbt2bfHbb7/pHC8NGIx92djYiJkzZxp8WIsQQqSkpIiWLVsqtmNvby9WrFhRWuF44kwdMOTl5Yk333zTYIyHDx9u9CErlSm+pg4YjH1pNBqxfPlyo+e7ePGiaNCggWI7Li4uig8/LG9M/X+hf//+Bh9AxrzVr6TxZe6aJioqStSqVUvxfalUKjFt2jTF45m/ysyNLXPXNEuXLpXfg77ZE0OsLW85YCgnEhMTxRdffCH69esnnn76aVGrVi2hVquFs7OzqF+/vujfv79YvXq14j1sWVlZYsuWLeK9994ToaGhol69esLZ2VnY2toKDw8P0b59ezF16lSRlJRkcp9ycnLEN998I0JDQ4W7u7twcHAQfn5+YuTIkSIhIcFC77x8KO599j/99JPo3bu38PLyEnZ2dsLLy0v07t27WCP8yhJfY7FNS0sT33//vRg3bpxo3bq1qFu3rtBoNMLOzk7UqlVLdO7cWcyZM0f8/fffJp/z0aNHYv78+SIkJES4uroKjUYjAgMDxcSJE8WVK1cs+O5KV0REhJg1a5bo3r27CAgIEG5ubkKtVgtXV1fRtGlTMXr0aBEdHW1ye8zbwkoaX+au6e7cuSNmzJghmjVrJlxcXISDg4OoV6+eGDZsmNFbYyTMX/3MiS1z1zTt2rUTQMHF1ps3b5rVhrXkrUoIIUBERERERKQHt1UlIiIiIiJFHDAQEREREZEiDhiIiIiIiEgRBwxERERERKSIAwYiIiIiIlLEAQMRERERESnigIGIiIiIiBRxwEBERERERIo4YCAiIiIiIkUcMBARERERkSIOGIiIiIiISBEHDEREREREpIgDBiIiIiIiUsQBAxERERERKeKAgYiIiIiIFHHAQEREREREijhgICIiAEBERARUKhVUKhUiIiLKujvlysyZM+XYEBFVNhwwEJHVycvLg4uLC1QqFVq0aGGwrhAC7u7u8ofBVatWGay/du1aue7SpUst2W0ivUaNGgWVSoXevXuXdVeIqJLigIGIrI6NjQ3atWsHADhz5gzS0tIU6/7xxx9ITU2V/x4VFWWwbe3yDh06lLCnVJYqwoyKEAJ79+4FAPTq1auMe0NElRUHDERklaQP8/n5+YiOjlasJw0AbGxsCv3dWH0PDw80atTIEl0lUhQXF4fk5GSoVCq8+OKLZd0dIqqkOGAgIqukffU/MjJSsZ5UNnDgQADAX3/9hVu3bumt+88//+DChQsAgNDQUN7PTqVuz549AICQkBB4enqWcW+IqLLigIGIrFLLli3h4OAAwPCsgVQ2YMAA1K9f32B93o5ET5o0YOjZs2cZ94SIKjMOGIjIKtnb26NVq1YAgNjYWGRlZenUSUpKws2bNwEUzBiEhoYCKP6AIT8/H4cOHcL777+P9u3bw8PDA7a2tnB1dUVwcDDef/99XLt2TW+bkZGR8n30K1asMPq+5s2bJ9c/d+6c3jqnTp3CW2+9hcDAQDg5OcHR0RGBgYEYM2aMPENSUjt37sTAgQNRt25dODg4wNXVFSEhIZg1axbu3buneNzQoUOhUqng6+sLALh//z6mT5+Oxo0bw9HREa6urujQoQN++OEHk/qxZ88edO/eHTVq1IBGo0FAQAAmTZqE27dvAwB8fX2hUqkwdOhQ+ZgrV65ApVLhueeek7/33HPPyXGVvtasWaN43szMTHz22Wdo0aIFnJ2d4ezsjFatWmHx4sXIzc01qe/G3Lx5E6dPnwZg3vqFTp06QaVSoVOnTnJ77733Hvz9/VG1alW4u7vj+eefxy+//KLYhhQr7Xhs374d3bp1Q82aNeHo6IhmzZph0aJFyMnJkY8TQmDDhg3o1KkTatasCY1GgxYtWmDZsmUQQhT7vRBRGRNERFZq2rRpAoAAIA4fPqxTvmbNGgFANGjQQAghxIoVKwQA0bRpU73ttWjRQgAQLi4uIjc3V/7+jBkz5PMofWk0GrF9+3adNvPz80XdunUFANGpUyej76lJkyYCgAgODtYpy8vLExMnThQqlUqxH2q1Wixfvlxv2+Hh4XK98PBwvXVSU1NF586dDb7XmjVripiYGL3Hh4WFCQDCx8dHJCYmCl9fX8V2xo0bZzAWY8eOVTz2qaeeEqdOnRI+Pj4CgAgLC5OPS0pKMvrzAiBWr14tH6P9M759+7YIDg5WPK5Xr14iLy/PYN9NsWzZMgFA1K5d26zjO3bsKACIjh07iiNHjggPDw/FPn/22Wd629CO1erVq8WYMWMU2+jXr5/Izc0VmZmZYsCAAYr1Ro4cWZKwEFEZ4AwDEVkt7VkAfbMG0vekmQXpz4SEBJ2r5A8fPsSZM2cAAO3atZMXSQNAbm4uPD09MXbsWKxfvx5Hjx5FXFwcdu7cicmTJ8PJyQkZGRkYNGgQ/vzzz0LtqlQqvPbaawAKZhukGQ99fv/9dyQkJAAABg8erFM+fvx4LFy4EEIIdOjQAatWrUJERAROnDiBFStWoHHjxsjNzcXo0aOxe/duxfMoycrKQteuXXHo0CHY2NjgjTfewMaNG3Hs2DFERUVhzpw5cHd3xz///IMePXrg6tWrim1lZGSgV69euHv3LqZNm4aIiAicPHkSK1asQO3atQEAS5Yswa+//qr3+AULFuCbb74BANSpUwdLlizB8ePHERkZialTp+LBgwcYMGAAMjIydI719vbG2bNnC22hu2rVKpw9e7bQV58+ffSeu1+/fjh37hzeeecd7N+/H3FxcdiwYQOCgoIAFMx6mDJbZIylbkdKTk5Gnz59UKVKFXz66ac4cuQITpw4gS+//BKurq4AgA8//BB//PGHwXaWLVuGpUuXokePHti+fbuc461btwZQMPOwevVqTJo0CVu3bsWgQYOwd+9exMXFYdOmTWjYsCEAYMWKFdi3b1+J3hMRPWFlPWIhIiotDx8+FGq1WgAQzz//vE55QECAACBWrVolf0+6Crtnz55Cdfft2ydfIZ07d26hsqSkJJGdna3Yj+vXrwtvb28BQLz++us65b///rvRK71CCPHBBx8IAKJKlSrixo0bhcp+++03uY2VK1fqPf7x48fy7ICPj4/IyckpVG5shuGjjz4SAISrq6s4efKk3nNcuXJFeHp6CgBi0KBBOuXSDAMAUa1aNZGQkKBT5+LFi8LBwUEAEC+99JJOeXJyslzu7+8vUlJSdOocPXpU2NnZyefSnmEw9f1q055hsLW11Vv/7t27olatWgKAePrppw22Z0xGRoaoWrWqACD27t1rVhvSDIP08y6aM0IIERUVJc9IvfPOOzrlRWdj3n33XZ066enp8kyOu7u7UKlU4quvvtKpl5ycLJydnRV/rkRUfnGGgYislpOTE5o3bw4AiI6ORl5enlxWdMcjSfv27QHozkgYWvDs6+sLW1tbxX7Url0bkyZNAgDs3r1b5x7upk2bomnTpgCgeO++EAIbN24EAHTs2BHe3t6Fyj/99FMAQP/+/TF8+HC9bTg4OGDx4sUAgKtXryI8PFyxz0U9evQIS5YsAQDMnj0bzzzzjN56Pj4++PjjjwEAW7ZsQXp6umKbs2fPRuPGjXW+7+/vL1/dP3LkiE752rVrkZmZCQD46quv4OHhoVOnXbt2GDdunOE3Zabx48fL6wK0ubm5YdiwYQCAs2fP4sGDB2af48CBA3j8+DE0Gg26dOlidjuSRYsW6eQMUJD70gyBsS2F69SpgwULFuh8X6PRICwsDABw9+5dtG7dGhMmTNCp99RTT6Fv374mnYuIyhcOGIjIqkkf7h8+fIj4+Hj5+9J2qrVq1UKDBg3k70uDh6JbsUofcBwcHNCyZUuD50xLS0NSUhL++OMPJCQkICEhARqNplBZUdItRvHx8Tq3LQEFH5ylhdNFb0dKS0uTHzw2YMAAg30LCgqSP2DHxMQYrKvt8OHD8gdgY+eQYp6Tk4O4uDi9dVQqFQYNGqTYhjQgSU1Nxf379wuVHThwAEDBszBeeOEFxTaGDBlisJ/m0nc7mETqtxBC78/ZVNLtSF27dpV3+zKXq6urwWc4SH2+fPmywXb69eunODBu1qyZ/PqVV15RbEOqd+/ePZ2fKxGVXxwwEJFVe/bZZ+XX2lc1i65fKFo/Li4Ojx8/BgBkZ2fjxIkTAIDWrVvDzs5O5zxXr17F+PHj4evri2rVqsHPzw9NmjSRZw9GjRol171z547O8a+99pr8XAd9swwbNmwAULD7U//+/QuVnT59Gvn5+YXaMfQlnV/aScgUJ0+elF97enoabL9JkyZyXaVzeHh4wN3dXfF8bm5u8uuHDx8WKpPWcQQHB6NKFeVfY02bNtX7syop6V58fQz121TCwk93btCggcE4SX021t+AgADFMmktRHHqmRsfInryOGAgIqv27LPPyh/ETRkwtGjRAhqNBjk5OTh27BiAgm1ZpVtg9D1/4ZdffkGjRo2wePFigwt9JdJARFvdunXlwYo0OJDk5ORgy5YtAIAXX3yx0IcuoOD2KnPoWxCsxNLnkGZclGh/wNW+lQyAvCC9Ro0aBtuwsbEp9AHeUgz13VC/TWXppzubGmtp0GlOO9rvu7TjQ0RPnrqsO0BEVJrc3NzQuHFjJCQkyIOEtLQ0ecejogMGW1tbtGrVChEREYiMjMRzzz1ncP3CnTt3MGjQIGRkZMDJyQnvv/8+nn/+edSvXx/VqlWTr3AfOnRIvhe96BoGyeDBgxEZGYmkpCTExMSgbdu2AIBff/0Vd+/elesUpf3Ba/ny5WjXrp1JsalevbpJ9Yqe49SpUwbXbGiTdjwi00mzC8888wyf7kxE5QIHDERk9Tp06ICEhASkpKQgMTERSUlJyM/PL7QoWltoaCgiIiLkgYK0nsHW1lb+EC/ZunWrfC/2jh070LVrV719SE1NNdrPgQMHYvz48cjOzsYPP/wgn0uacahWrZreK87at/ZoNJpCtwRZivY5atSoUaYDgerVq+P27dtISUkxWC8vL8/gQ+TKK2n9giVuRyIisgTekkREVq/oOgZpINCmTZtCz1OQSLMOx44dQ1ZWFqKjowEU3K7k6OhYqK60d72bm5viYAEovAZASfXq1eVFvJs3b0Zubi7S09Oxa9cuAAWLje3t7XWOCw4Olm+7Onr0qNHzmEN7YFVa5zCVtLNSfHy8wdtozp49q/cJ3xIpZuXJzZs3cerUKQAcMBBR+cEBAxFZPe3biCIjI+UZg6K3I0natm0LGxsbpKenY82aNfLuQPrWL+Tm5gIAMjMzFT+8ZmRkYP369Sb1VbrlKCUlBfv378fOnTvldQBKu/PUqFEDbdq0AVAwG2Hsyrs5unbtKt+b/t///lfxtqonQbq1686dO/jll18U661bt85gO9q7DxkaWDxJ0u1ItWvX1jv7RURUFjhgICKr5+Xlhfr16wMAwsPD5av92jMP2lxcXOTnImjvO69vwCBtyZqRkYHNmzfrlOfl5WHEiBG4deuWSX3t1asXXFxcABTsliTdjuTt7Y2OHTsqHjdt2jQABeszBgwYYHDLyqysLCxZskReyG0KV1dXvP322wAKnmkxceJEg1f3//77b6xcudLk9osjLCxMnml599139e46FRMTIz83Qon2+oC//vrLsp00k3Q7kiUWOxMRWQoHDERUKUiDg5s3byIrKwtqtVq+Kq+PNPsg7U1fpUoVvTMSL7/8svzhddiwYZgyZQoOHjyIkydPYu3atWjdujU2btwoPxDOGAcHB/Tr1w8AsHPnTuzfvx9AwXaphrbG7NGjh/ywrMjISAQFBWHWrFk4ePAg4uPjcfToUaxduxYjRoyAp6cn3n77bXl2xFSffPKJ/JCvr7/+Gi1atMCSJUtw9OhRxMfHIzw8HIsXL0afPn1Qt25dLFu2rFjtm8rLywszZswAAFy6dAnPPPMMli5ditjYWBw5cgQff/wxunTpAi8vL3knJX23H9WtW1dei/H5559j9+7dOH/+PC5duoRLly498W0/Hz9+jEOHDgHg7UhEVL5w0TMRVQodOnTAmjVr5L83b97c4PaPoaGh8lORgYI9/YtuZwoU3DqydOlSjBgxApmZmZg/fz7mz59fqM4rr7yCkSNHGlzjoG3w4MFYs2ZNoackG3pYmGThwoVwc3PD7Nmzcfv2bcycOVOxrqOjo971G4bY29tj//79GDp0KLZv344zZ87Isw76SDMlpWHKlCm4evUqli9fjmvXrmHs2LGFyj08PLBlyxZ58KX08LOPPvoIY8eORVJSEnr37l2obPXq1Rg6dGip9F8fSz/dmYjIUjjDQESVQtHbiZTWL0iK3q6k73YkybBhwxAVFYU+ffqgRo0asLW1haenJ7p3744ff/wRmzZtKtaH886dOxe6XaZRo0YIDg42epxKpcL06dNx4cIFTJ48GSEhIXBzc4ONjQ2cnZ3RqFEjDB48GGvXrkVycjKqVq1qcp8kzs7O2LZtG6KiojBixAgEBgbC2dkZarUabm5uaNmyJcaNG4eff/5Znh0pDSqVCsuWLcOuXbvQrVs3uLm5wcHBAf7+/njnnXdw+vRphISEIC0tDUDBDlP6jBkzBtu2bUO3bt1Qs2ZNqNVldx3Nkk93JiKyJJUoy5VrREREpeTGjRuoU6cOAGDlypUYPnx4GfdImRACtWvXxq1bt/Dtt99i5MiRZd0lIiIZZxiIiMgqbdy4UX5taL1KeXDq1CncunULKpUKPXv2LOvuEBEVwjUMRERU4aSnpyMtLU3xScinT5/G7NmzARQ8MVl6dkN5lZeXhxkzZqB69ep8ujMRlTu8JYmIiCqcK1euICgoCH369EH37t0RGBgIe3t73Lp1C/v27cN3332Hx48fQ6VSISIiwuAaFCIiMowDBiIiqnCuXLmCevXqGaxjZ2eHFStWYMiQIU+oV0RE1okDBiIiqnBycnKwY8cO7Nu3D7GxsUhJSUFqaio0Gg18fX3RtWtXjB8/Hj4+PmXdVSKiCo8DBiIiIiIiUsRdkoiIiIiISBEHDEREREREpIgDBiIiIiIiUsQBAxERERERKeKAgYiIiIiIFHHAQEREREREijhgICIiIiIiRRwwEBERERGRIg4YiIiIiIhIEQcMRERERESkiAMGIiIiIiJSxAEDEREREREp4oCBiIiIiIgUccBARERERESKOGAgIiIiIiJFHDAQEREREZEiDhiIiIiIiEgRBwxERERERKSIAwYiIiIiIlL0P8VBSXkcmWX7AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 340, "width": 390 } }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%config InlineBackend.figure_format='retina'\n", "\n", "# Load first datafile\n", "wavelength, absorbance = np.loadtxt('uv_vis_data/t_0p0.csv', unpack=True, delimiter=',')\n", "\n", "# Plot spectrum at t=0\n", "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "\n", "ax.plot(wavelength, absorbance, color='k')\n", "\n", "ax.set_xlabel('Wavelength / nm')\n", "ax.set_ylabel('Normalised Absorbance')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.set_xlim([350, 700])\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "fig.tight_layout()\n", "plt.savefig('one_spectrum.png', dpi=400)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c6911129", "metadata": {}, "source": [ "We can adapt this code to plot all spectra as a function of time, and indicate the time values using the transparency of the plotted line." ] }, { "cell_type": "code", "execution_count": 2, "id": "0f9db6f0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 340, "width": 390 } }, "output_type": "display_data" } ], "source": [ "# Create figure and axis\n", "# Plot spectrum at t=0\n", "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "\n", "colors = [\n", " (\"#000000\", alpha)\n", " for alpha in np.logspace(0, -1.8, 41)\n", "]\n", "\n", "# Loop over files, read in each and plot\n", "# Time values step from 0 s to 20 s in steps of 0.5 s\n", "time_values = np.arange(0, 20.5, 0.5)\n", "for val, color in zip(time_values, colors):\n", " file_name = f'uv_vis_data/t_{val:.1f}'.replace('.', 'p') + '.csv'\n", "\n", " # Load datafile\n", " wavelength, absorbance = np.loadtxt(file_name, unpack=True, delimiter=',')\n", "\n", " ax.plot(wavelength, absorbance, color=color)\n", "\n", "ax.set_xlabel('Wavelength / nm')\n", "ax.set_ylabel('Normalised Absorbance')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.set_xlim([350, 700])\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "fig.tight_layout()\n", "plt.savefig('all_spectra.png', dpi=400)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "749918f6", "metadata": {}, "source": [ "As we have mentioned above, we are only interested in the intensity of the spectrum at the 627 nm maximum, so we can adapt the above code to only store these values and then convert them into concentrations using the Beer-Lambert law.\n", "\n", "To do so, we start with the initial concentration and absorbance (at 627 nm)\n", "\n", "$$\n", " A_0 = \\varepsilon c_0 l = \\varepsilon [\\mathrm{dye}]_0 l\n", "$$\n", "\n", "and then divide the absorbance $A_t$ at time $t$ by $A_0$, then\n", "\n", "$$\n", " \\frac{A_t}{A_0} = \\frac{\\varepsilon [\\mathrm{dye}]_t l}{\\varepsilon [\\mathrm{dye}]_0 l} = \\frac{[\\mathrm{dye}]_t}{[\\mathrm{dye}]_0}\n", "$$\n", "\n", "and so\n", "\n", "$$\n", "[\\mathrm{dye}]_t = \\frac{A_t}{A_0}[\\mathrm{dye}]_0\n", "$$\n", "\n", "where $[\\mathrm{dye}]_0 = 10 \\,\\mu \\mathrm{M}$." ] }, { "cell_type": "code", "execution_count": 3, "id": "afdbfa4d", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 340, "width": 388 } }, "output_type": "display_data" } ], "source": [ "# Extract max absorbance at each conc\n", "max_abs = []\n", "\n", "for val, color in zip(time_values, colors):\n", " file_name = f'uv_vis_data/t_{val:.1f}'.replace('.', 'p') + '.csv'\n", "\n", " # Load datafile\n", " wavelength, absorbance = np.loadtxt(file_name, unpack=True, delimiter=',')\n", "\n", " # Get absorbance at peak\n", " # here take peak which is above 500 nm - this will always be 627 nm\n", " absorbance[np.argwhere(wavelength > 500)]\n", " max_abs.append(np.max(absorbance))\n", "\n", "# Convert absorbances to concentrations \n", "conc_values = 10E-6 * np.array(max_abs) / max(max_abs)\n", "\n", "# Plot concentratio (micromolar) versus time (seconds)\n", "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "\n", "ax.plot(time_values, conc_values * 1E6, lw=0, marker='x', color='k')\n", "\n", "ax.set_xlabel('Time / s')\n", "ax.set_ylabel(r'$[\\mathrm{dye}]\\, / \\, \\mu\\mathrm{M} $')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "fig.tight_layout()\n", "plt.savefig('conc_vs_time.png', dpi=400)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cb2eb03c", "metadata": {}, "source": [ "With the time-dependence of the dye concentration in hand, we can now study the kinetics of this reaction.\n", "\n", "We may write the rate of reaction as \n", "\n", "$$\n", " \\nu = k[\\mathrm{dye}]^n[\\mathrm{bleach}]^m\n", "$$\n", "\n", "where $n$ and $m$ are unknown orders of reaction for either reactant.\n", "\n", "Here the concentration of bleach is much larger than that of the dye, so we can assume that it does not change appreciably throughout the reaction. We can then form a pseudo first-order rate equation\n", "\n", "$$\n", " k' = k[\\mathrm{bleach}]^m \\qquad \\nu = k'[\\mathrm{dye}]^n\n", "$$\n", "\n", "where $k'$ is a **pseudo rate constant**.\n", "\n", "We'll limit ourselves to integer orders, and determine whether the reaction pseudo zeroth-, first-, or second-order with respect to dye concentration by inspection. To do so we begin with the linearised integrated rate law for zeroth-order\n", "\n", "$$[\\mathrm{dye}]_t = -k't + [\\mathrm{dye}]_0$$\n", "\n", "and plot $[\\mathrm{dye}]_t$ vs $t$. If this reaction is pseudo zeroth-order with respect to dye concentration then we would expect a straight line." ] }, { "cell_type": "code", "execution_count": null, "id": "7259fa33", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 339, "width": 388 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "\n", "ax.plot(time_values, conc_values, lw=0, marker='x', color='k')\n", "\n", "ax.set_xlabel('$t$ / s')\n", "ax.set_ylabel(r'$[\\mathrm{dye}]\\, / \\, \\mathrm{M} $')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "fig.tight_layout()\n", "plt.savefig('zero_order.png', dpi=400)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5ffbc6d0", "metadata": {}, "source": [ "This is not linear, so we can discount this possibility.\n", "\n", "We then move on to the linearised integrated rate law for first-order\n", "\n", "$$\\ln([\\mathrm{dye}]_t) = -k't + \\ln([\\mathrm{dye}]_0)$$\n", "\n", "and plot $\\ln([\\mathrm{dye}]_t)$ vs $t$. If this reaction is pseudo first-order with respect to dye concentration then we would expect a straight line." ] }, { "cell_type": "code", "execution_count": 5, "id": "43e40d86", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 339, "width": 387 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "\n", "ax.plot(time_values, np.log(conc_values), lw=0, marker='x', color='k')\n", "\n", "ax.set_xlabel('$t$ / s')\n", "ax.set_ylabel(r'$\\ln([\\mathrm{dye}])$')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "fig.tight_layout()\n", "plt.savefig('first_order.png', dpi=400)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ddc09209", "metadata": {}, "source": [ "We do observe a straight line, but for completeness we can also examine the possibility of pseudo second-order kinetics\n", "\n", "$$\n", "\\frac{1}{[\\mathrm{dye}]_t} = k't + \\frac{1}{[\\mathrm{dye}]_0}\n", "$$\n", "\n", "by plotting $\\frac{1}{[\\mathrm{dye}]_t}$ vs $t$." ] }, { "cell_type": "code", "execution_count": 6, "id": "7ee383c4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 338, "width": 386 } }, "output_type": "display_data" } ], "source": [ "## Second order plot\n", "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "\n", "ax.plot(time_values, 1 / (conc_values * 1E6), lw=0, marker='x', color='k')\n", "\n", "ax.set_xlabel('$t$ / s')\n", "ax.set_ylabel(r'$[\\mathrm{dye}]^{-1}$ / M$^{-1}$')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "fig.tight_layout()\n", "plt.savefig('second_order.png', dpi=400)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "0c3fb4e7", "metadata": {}, "source": [ "This is not a straight line, and so we confidently assign this reaction as pseudo-first order with respect to dye concentration." ] }, { "cell_type": "markdown", "id": "97ffe0f9", "metadata": {}, "source": [ "We now seek to find the pseudo rate constant $k'$.\n", "\n", "According to our above results we can safely assume pseudo first order kinetics, so we may employ the linearised integrated rate law for first order\n", "\n", "$$\\ln([\\mathrm{dye}]_t) = -k't + \\ln([\\mathrm{dye}]_0)$$\n", "\n", "We can use *SciPy*'s `linregress` function to find the values of $k$ and $\\ln([\\mathrm{dye}]_0)$ which best describe the experimental data." ] }, { "cell_type": "code", "execution_count": null, "id": "89d13c97", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitted model:\n", "k' = 0.29 s⁻¹ ± 0.00 s⁻¹\n", "[dye]₀ = 9.6e-06 M ± 1.01 M\n", "R² = 0.9994\n" ] }, { "data": { "image/png": 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nO/pTWig5kFLP+Q9cMvD5U0+B26cy9YFlwHf6Aycikm9iYKcEwdXEiRP5+uuvgdx/G7PZzOTJkx3TdgYPHszff/9d4HWmTZuWZ9uaNWvYuHEjAN3cduS7/fbbgdy1CG+99dZ5vYfS6qqrrqJRo0YATJ48mdOnTwc0nooVc+conDlzJqBxlBQlB1KqefsD99Drr8PKleA27FgdWASsP/cHzmazFepehe0vIhKMbDabz9s8e0sQyuPvwj/++INnn30WyN3mMjExEchdnzF16lRMJhP79+/nkUceKfBa8+fPZ9asWR7HMzIyePTRR4HcBbH27+1uuukmx05Gr732mtdrONuwYQMLFiwo+M2VAiEhIYwePRrIHTl54IEH8n0wP3bsmM/TvM5H/fr1HbEYTmsdywolB1Jq5fsHrlEjSE6G2FiXcyoAM4C0+HjMZrPPn4JZrVbMZjMWi6VYYhcRCZSYmBjHdpy+bPPsnCAkJCQQExNT4jGWlIMHD7Jx48YCv+x76kPudqADBgzg5MmTVKpUienTp1OhQgVHe7du3XjiiScAmDdvHh9++GG+MbRv357+/fszYsQIlixZwrp165gyZQrt27fnl19+AWDEiBFetxqdOXMmkZGRZGdnc/fdd3P77bczY8YMVq9ezbp161i0aBFjx46lU6dOtGnThmXLlhXHP1tQGDp0KL179wZg9uzZREdH89prr7Fs2TJ+/fVXli9fzuTJk+nfvz8NGjQo0b/XnTt3BnL/9/T000+zbt06tm3bxrZt29i1a1eJ3ddvAlF5TUqnoKmQ7MRe7TDPCp6nTxtGv34e1ZQNMN4CI8SH6p/u1UOTk5NL4J2ISHkRLFVQC/u7rLT+7jufCslXXHGF4/xRo0Y5jr/zzjte73H69Gnj8ssvNwCjatWqxvbt213anSvz/vXXX0bz5s3zvHffvn2NzMzMPN/PH3/84bhXQV+JiYke59srJA8cOLBQ/3b5VUhu2rRpvtfxtaJwQbGdPXvWGDZsmKMqdX5fzZs39zjf+eeQn4Le9/Hjx40WLVp4vW9B/xb5CZbfDRo5kFLNYrGQnJyc9ydfERHwySfw1FMeTf8CPgUS8plH623aUmn+1ExExK6wv8vK4+8+m83m+Ptwyy23MHz4cK/9IiIimDFjBhEREWRkZHDffffluT9+8+bNWbduHaNHj+bSSy+lcuXK1KhRg+uuu47p06czZ84cwsLy3kyyVatW/Prrr8ycOZO+ffvSpEkTKlWqRHh4OPXr1yc2NpYXXniBdevW8dJLLxX9HyGIVKhQgYkTJ/Lbb7/x+OOP07p1a2rUqEFoaCg1atTgyiuv5KGHHmLOnDls2bKlxOKoWrUqK1eu5IknnnD8DMsSk2GUwclSUiJSU1Md26+lpKQ4FgeVGq+/Ds8843F4OdALiHcbXvdlwZ6ISGFt3bqVrKwswsLCaNmyZaDDET+wWCyOdQp67JK8BMvvBtU5kDxFR0e7vM7MzAxQJMXk6aehQQN44AFwei/XATZcayEoMRAREZHySNOKpHy55x5YvBiqV3c5HE1uLYTp8fFERUUpMRAREZFySSMHkqdNmza5vHaeVlSq3XADLF8ON98M+/Y5DjcidwShV3o69v0dlBiIiIhIeaKRAymfrrgCVq2CSy91OVwD+AboR+7+1UoMREREpDxRciDlV9OmYLPBtde6HI4APgPuT08v19VARUREpPxRciDlW2Qk/+nRg8+9NL0JhMbHY331VT8HJSIiZYnFYsEwDO1UJKWCkgMp16xWKyNffJG7AG+F1kcCTUaPZvwrr/g5MhERERH/U3Ig5ZbzdqU5wIlXXwUvowT3Ale98AJvnNuj2mazFeo+he0vIiIiEihKDvwgIyOD5cuXM378ePr160fz5s0xmUyYTCaaNWvm0zVycnJYvnw5o0ePJjY2lnr16hEeHk716tW5/PLLGT58OOvXry/ZN1KGeK1jEB8P8fEwbRq4Vae8AbjBYuFusxmz2ezzWgSr1YrZbMZisRRj9CIiIiIlQxWS/eD6669n6dKlXtuaNm3Kzp07C7xGkyZNSElJybdPSEgII0eOJCkpCZPJdB6R5q/UV0g+x2azYTabHa+9blf6zTfQty+cOOFyeBfQA/g9r/OcuCcgycnJxMTEFMM7EJHSLFiqoIpIcAmW3w0aOfAD5/wrMjKSm266iapVqxbqGnv37gXgoosuIi4ujvnz57N27VqSk5N5+eWXqVWrFjk5OYwbN47nn3++WOMva2JiYkhISADyecDv3h2WLYM6dVwONwVWANcC8fHxeY4geBuZUGIgIiIiwU4jB34wefJkqlWrRocOHbjooosAaNasGbt27fJ55KBz584kJCRw0003eR0V2L59O506deLQoUOEhYXxxx9/0KJFi2J9H2Vl5MDOZrMV/MD+11/Qowds3epy+BTQH/gCzwTD65Ql1UsQkXOC5dNBEQkuwfK7QSMHfvDII49w7733OhKD87Fy5Uq6d++e53ShCy+8kJdeegmArKwsvvjii/O+V3nh0yf5LVrAypVw9dUuhysBc4HhuI4gKDEQERGR0kzJQRly/fXXO77fvn17ACMpYy64AH74AW67zeVwCPAO8Aq5CUJUVJQSAxERESnVlByUIWfOnHF8HxoaGsBIyqDKlWHePHj4YY+m0cBU4Fh6uuOYEgMREREpjZQclCHLli1zfH/ppZcGMJIyKiwM3nsPztU7cDYQWAhUJXfRuRIDERERKY3CCu4ipcHJkyd58803AYiIiKBXr16FvkZqamq+7fv27Tuf0MoWkwleegkaNIChQyE729HUHVgK3JqejtVqVYIgIiIipY6SgzIiLi6O3bt3AzBixAgaNGhQ6GvYdyISHwwZwuwVK7hl6lSqOB1uB6wEepxbe6AEQUREREoTTSsqA2bMmMGECROA3OlEY8aMCXBEZZ/VaqXf1KlcDxxya2tBboIwL586CCIiIiLBSMnBOSaTqchfU6dO9XvcS5cu5aGHHgJy57rPnTuXSpUqnde1UlJS8v1avXp1cYZeajlvV7oGmDdyZO6Wp04uAH4AbEoQRESkHBg0aBAmk4lmzZoFOpRCW7FiBb1796ZevXqEhYU5nuuOHDkC5NamMplMDBo0KKBx+oumFZVia9eu5fbbb+fMmTNUrVqVr7/+ukgLkUt7UTN/8FbH4JG4OBg5Em69Fdatc7RVJrdI2tD4eKzAtddeW6gqyT4VaRMRkQIdPHiQ1atXs3r1atasWcOaNWtIS0sDYODAgQH5cE+Cw4IFC+jduzfZTmsIyzslB+ds2bKlyNeoX79+MUTim02bNtGjRw+OHz9OREQEX3zxBVe7FeqS4mWz2fKuY1C3LixdCnfeCd984+gTCrwPWOLjMbufkw97EpKQkIDFYinOtyEiUu7UrVs3YPdeunSpow7RkiVLiI2NDVgs4umZZ54hOzubBg0akJSURHR0NOHh4QBUr169wPN37txJ8+bNAZgyZUqZGF1QcnDOJZdcEugQfLZ9+3ZuvPFG0tLSCAsL47PPPqNr166BDqvMi4mJISEhgcTERO8P+VWrwoIFubUQpk1zabIAjcgdRYD8Fyo7j04kJibSrVs3jSCIiBSTJk2acMkll/Dtt98GOhQJsN27d7N161YARo8ezf333++1386dO/0YVeApOShlUlNT6datG/v27SMkJIRp06ad17alcn4sFkv+D+sVKsCUKdCoEbzyikvTEKA+0C+fBMHbtCUlBiIiRfPSSy/RoUMHOnToQN26dV0+7ZXya8+ePY7vW7VqFcBIgouSg1Lk4MGDdOvWzZHBTpo0if79+wc2qHKowId1kwnGjIGGDeGxxyAnx9F0K7AEuNVLguAtMdBWqCIiRZfopXilyJkzZxzfV6hQIYCRBBftVlRKHDlyhO7du/PHH38A8MYbb/Dwww8HOCrJ17BhMHcuVKzocrgjuVudTnbayUiJgYhI8Pvhhx+49957ad68OZUqVaJy5co0bdqUa665hpEjR/LDDz84+u7cuROTyeRYbwBw/fXXF9tOhxkZGSQlJdGpUyciIyOJiIigUaNG3HnnnSxcuDDfc2NjYzGZTI71D1u3buWxxx6jZcuWVK5cGZPJ5DGVZsuWLQwaNIjGjRtTsWJFGjduTP/+/VmzZk2h4t6/fz/PP/887du3d8TduHFj+vXrx/fff5/nefZ/T+d/s88//5xbbrmFBg0aEBYW5vN6DvvOSvn9bJx/LnntVmQymVxGoAYPHuzx8y2N6wY1cuAH27Ztw2azuRzLyMhw/Nf9F0OPHj2oV6+e4/WZM2e49dZb+fXXXwEYMGAA3bp1Y+PGjXnes0qVKhoyDQZ33AH/+x/07Anp6Y7DLclNEG6Nj2fcuHGkO7UpMRARCT5PPfUUb775psfx3bt3s3v3bn766SemTp3K33//XeKx/PLLL9x2223s3bvX5fiePXuYO3cuc+fOpU+fPsyYMYOKbh9Qufvyyy8ZMGAAJ06cyLPPrFmzeOCBB1w+aU9NTeWTTz5h9uzZTJo0yae4Z8yYwaOPPupxr9TUVGbPns3s2bN56KGHmDRpEmFheT+iGobBAw88wMcff+zTfaVwlBz4gc1mY/DgwV7b0tLSPNqWLFnikhzs27ePlStXOl7PmDGDGTNm5HvPLl26sHTp0vMPWopP586wYgX06AG7djkO1wWWAnelp7P43DElBiIiwWfhwoWOxKBNmzYMGzaMSy+9lBo1anDkyBE2bdrE999/71IPqGHDhmzYsIE1a9bw4IMPAvDhhx/SoUMHl2sXdhvxPXv20LVrVw4fPuz4NPuee+4hKiqKzZs385///IfffvuNzz//nEGDBvHpp5/mea3du3dz3333UblyZV588UXMZjOhoaGsWbOGqlWrArBmzRoGDBhAVlYWERERPPXUU9xyyy1ERETw008/MXbsWIYNG8Zll12Wb9yzZs3i/vvvxzAMWrRowWOPPcZll11G7dq12blzJx988AFff/01H3zwAdWrV+f111/P81pvvvkm69evx2w2M2zYMFq1asWRI0d8Xjj8yiuvMHLkyHx/Nr78XDZs2MDevXvp3r07AGPGjPFYB1qnTh2fYgomSg5E/OGSS2DlSrjlFvjtN8fhqsACchcrL4iMVGIgIrlycuDcPvzlRlQUhATnbOdZs2YB0LRpU1asWOF4cLaLjY1lxIgRLqPAFSpU4PLLL3cZSWjevDmXX355kWJ58sknOXz4MADvv/++oxAqQLt27ejXrx8333wzS5Ys4bPPPmPgwIHcfPPNXq+1Y8cOGjRowKpVq2jSpInjuPPW6MOHDycrK4sKFSrw7bffct111znaOnbsSJ8+fbjmmmv4zelvm7u///6bRx55BMMwePDBB3nvvfdcRgauuuoq+vTpw/PPP8/YsWN56623ePTRR7n44ou9Xm/9+vU88MADTJ06FZPJVMC/mKeGDRvSsGHDIv9sLr/8cpf/LTRs2LDIP99goOTADwYNGlSkfW+bNWuGYRjFF5AERoMGsHw59OmTO9XonDBgKvB8ejrWpCTinNYeiEg5lZYGpfATxyI5eBBq1w50FF7t378fyH2IdU8MnEVGRpZoHHv37mXevHlA7hRk58TALiIigg8//JCWLVuSlZXFhAkT8kwOIHfE2jkxcLZmzRrWrl0LwKOPPuqSGNg1bNiQ//znP9x999153uPdd9/l6NGjNGzYkIkTJ+Y5ZSgxMZFp06axZ88ePvroI15x2/XPrmbNmkyYMOG8EgMpWHCm6CJlVfXqvHb99XibFPYKUG3UKMa9+qq/oxIRkXzYi5wuX76c7du3ByyOpUuXOir5eksM7Jo1a8aNN97ocY678PBw7rrrrjyv47xAOK/p0QC9e/emZs2aebbPnz8fgNtuu42IiIg8+4WFhdGpUycAVq1alWe/nj17Uq1atTzbpWiUHIj4kdVq5bkXXuB+YJyX9uFAy9Gj+c+YMX6OTERE8vLAAw8AuesEL7/8cu655x6mTJnCtm3b/BqH80YkzlN/vLG3nzx5kr/++strn5YtW+a7YHnDhg1AbhJxxRVX5NmvQoUKtG3b1mtbdna2Y0OV9957z2M3H/evOXPmAP+M1njTpk2bPNuk6JQciPiJ83alBmAkJcFbb+XWRXDSG+j04ou89dJL/g9SREQ8dO3alQkTJlCpUiVOnz7NZ599xoMPPkjLli1p1KgRQ4cOzXfOfXFxXtNQ0EJX541NnM9zVqtWLZ/uFxkZSWhoaL5969atm+c1srKy8j3Xm5MnT+bZVlDcUjRacyDiB/nWMahfH+67D86edbR3BiL//W/ePXOG1j17FqpKss1mU1VlkdIuKip3Dn55EhUV6AjyNWLECO666y5mzpzJd999x4oVKzh69Ch79uzhvffeY/LkyYwePZoxfhr5LY759gU98BfHvZynNA0ZMoQnnnjCp/PCw8PzbPM1bjk/Sg4kT9HR0S6vMzMzAxRJ6Waz2fIvcHbXXbkLD3v1gqNHHYcvAWqMG8fN48Zxr49bnNqTkISEhFJZeEVEzgkJCdrFueVZnTp1ePLJJ3nyySfJycnh119/Zd68eUyYMIEjR47wyiuv0KFDB4/tLIuL84LnAwcO0Lhx4zz7Ok/LOd+F0vZP6NPS0sjOzs73ofzAgQNejzvf2zCMMrGbT1mnaUUiJSwmJoaEhAQgnzoGXbqAzQZu+yrXB5YD3zpVU86L8+hEYmKiR+E9EREpPiEhIVx11VX8+9//5n9OO9DZtz21K84ddZwfrH/66ad8+9prLlSuXJkWLVqc1/1at24NwNmzZ/OdNpWVleVYV+AuPDzc8WHjihUrziuOYFYWd0xSciB52rRpk8uXc1l4KRyLxUJycnL+n/5ffnluLQS3EZvqwCJgfT4JgrdpS5paJCLiH1dddZXjU3b3CsnOC36dKwyfj9jYWMen9x9++GGe/Xbv3s13333ncU5hdevWzfH9tGnT8uw3b948R+0Fb26//XYAfv/9d7755pvziiVYFefPN1goORDxE58e1hs3zh1B6NLF5XA4MAP4Oz4ea1KSS1u+6xlERKTIPvvsM06dOpVn+9q1ax0Px82bN3dps2+DChR5G9QGDRrQu3dvABYtWuT1gf3s2bM8+OCDjqnAjz322Hnfr2PHjlx11VVAbq0CbyPS+/btY+TIkfle54knnnDUhxg8eDCbNm3Kt/9XX33F+vXrzzNq/4qKinKsjwjkNrfFSWsORIJNzZqweDE88ADMnu3S9Brw1qhRjDMMnhs1SomBiIgPbDaby7ajzp/ub9u2jalTp7r0dy9cGhcXx9ChQ+nVqxfXXXcdrVq1okqVKqSlpWGz2Xj77beB3IWyQ4YMcTm3SZMmNGrUiNTUVMaPH0+jRo24+OKLHZ/m161bt1B79r/xxhv873//4/Dhwzz44IPYbDbuvvtuatWqxe+//8748eMdU3zs1ZKLYuLEicTExJCZmcmNN97IU089xS233EJERAQ//fQTY8eO5e+//+aKK67Ic+pR3bp1mTZtGnfeeSf79u2jffv2DBo0iJtvvplGjRqRmZlJamoqq1evZs6cOfz1118sWLCgVGxZGhYWRocOHVixYgUffvghbdu25corr6RChQpA7pqLki6OV+wMER+lpKQYnNuFMyUlJdDhlH3Z2YbxxBOGAR5fs8CoX6uW4+cBGElJSYGOWER88OeffxqbN282/vzzz0CHUm4MHDjQ5fdlQV/umjZtWuA5ERERxpQpU7zef+LEiXmel9c5+fn555+NBg0a5BtPnz59jFOnTnk9v0uXLgZgdOnSxaf7zZw50wgPD/d6n7CwMGPy5MmOf+OmTZvmeZ358+cbkZGRBf5bhoSEGD/88IPLuTt27CjSv5k3S5YscVxzyZIlefaz//wHDhzotX3hwoWGyWTy+l4SEhJ8jidYfjdoWpFIsAoJgTfegNde82i6C/jk8GFqnnutEQMRkZKzZMkS3nrrLfr27Uvr1q2pXbs2YWFhVK9enbZt2zJy5Eg2b97sMeJgN2zYMObOnctNN91EnTp1CAsr2sSNtm3b8scff/Dqq69y9dVXU7NmTcLDw2nQoAF9+vRh/vz5zJ07N98CZ4Vx77338ssvv3D//ffToEEDwsPDadiwIf369cNms/Hwww/7dJ2ePXuyY8cOxo8fzw033EDdunWpUKEClSpVonnz5tx22228/vrr7Ny5k+uvv75YYveHW2+9lf/973/06tWLBg0aOEYNSiuTYRhGoIOQ0iE1NdWxbVpKSgqN3HbWkRI0cyYMGgRu28luBO6tUYMNR44EIioROQ9bt24lKyuLsLAwWrZsGehwRCRIBMvvBo0ciJQG/fvDokWciYhwOXw5sOjoUT546qnAxCUiIiJlipIDkVLCunYtV585w163442Avm++ycxHHw1EWCIiIlKGKDkQKQXsuxL9BnQC0twqp9YE+k6ezJcDBgQgOhERESkrlByIBDn37UqHJyUR9fvv0LmzS78IoOfMmXzfsydAoSskq6KyiIiIKDkQCWJ51jGIjITvv4c77nDpHwJ0W7iQWU2bcp3ZnGdFZW/3MZvNWCyW4gteRERESh0lByJBymaz5V/grFIlmDMHhg/3OLff7t1MB16Kjy8wQXBOQBITEzWCICIiUo4pORAJUjExMSQkJAD51DEIDYUJE2DsWI+m/sDXwNh8EgRvIxMxMTHFEb6IiIiUQkWrwiEiJcpisdCtW7f8H9hNJhg1Cho0gCFDICvL0dQVWA7cfC4BcE4w8pyyJCIiIuWWRg5EgpzPn+QPHAgLFkCVKi6HrwBWAVOdRhCUGIiIiIg3GjmQPEVHR7u8znSrzitBqEcPWLYMbrkFDh50HG4KrAB6xsczbtw40tPTHW1KDERERMROIwciZU27drBqFbiVXo8EvgeuU2IgIiIieTAZhmEEOggpHVJTU2ncuDEAKSkpNGrUKMARSb4OHYLbboPVq10O5wCPAZ9FRpKWlhaQ0ETKs+3bt3P27FlMJhMXX3wxJpMp0CGJSIAZhsEff/yBYRhERETQokWLgMWikQORsqp2bfjhh9wEwUkIMBF4Jj0da1JSQEITKc/Cw8OB3IeBM2fOBDgaEQkGJ0+exP55vf13RKAoORApy6pUYVynTkz20jQaqDdqFK952QZVREpOFadNA44dOxbASEQkGBiG4bIWsHr16gGMRsmBSJlmtVqJe/55HgVe8tI+EGj9/PO88fLLfo5MpPyqWrWq4/u0tDTS0tLIzs4OYEQiEgiGYXDixAlSU1PJyMgAwGQyufyOCATtViRSRrlvV1olKQmiomDoUHB6EOkB1E5IYMLZszw2ZkwAIhUpX8LDw6lduzaHDh0C4ODBgxw8eJDQ0FCtPxApR7Kzs3Fe+msymWjYsCEhIYH97F7JgUgZlG8dg3r1oF8/OHXK0d4OqPXKK0w+fZrL7rijUFWSbTabqiqLFFJUVBRnz57l6NGjjmMaPRApv+yJQbVq1QIdinYrEt9pt6LSwWazYTabHa+9blf600+5C5X//tvl8CHgNqCPj1uc2pOQhIQELBZL0YMXKWdOnz7NkSNHOHnypJIDkXImNDSU8PBwqlevTtWqVQM+YmCn5EB8puSg9LBYLCQmJuZfx2Dr1tyiaX/95XL4JNAPMBeQILiPTiQnJ2sEQUREpJRTciA+U3JQuvg03efAAbj1Vli3zuVwNjAUuCiPBCHfaUsiIiJSagXH+IWIFDufPsWvWxeWLoXu3V0OhwLvA6fi4z1qISgxEBERKbuUHIiUd1WrwoIFMHCgR5MFiBo1inHnaiEoMRARESnbNK1IfKZpRWWcYcALL4CXomgLgWG1apF6+LDjmBIDERGRskcjByKSy2SCV16BiRPBbceE24A5hw9zwbnXSgxERETKJo0ciM80clCOfPEF3HsvnD7tcngrcE+NGqw7ciQQUYmIiEgJ08iBiHi64w74/ntOVarkcrgl8PXRo0x7/PGAhCUiIiIlSxWSJU/R0dEurzMzMwMUiQSC1WZj6qlTLAaaOh2vC/SdMIFZJ07Q78MPAxSdiIiIlASNHIiIB/uuRL8DnYAD9eu7tFcFek+Zwlf9+gUiPBERESkhWnMgPtOag/LB63alw4ZBnz7wv/959F/WvTtdFi3KXdAsIiIipZpGDkTEIc86BtWrw9dfQ//+Hud0+eYbfu7cGduyZYW6l81mK3K8IiIiUryUHIgIkPuwnm+Bs/Bw+PhjePZZj3Ov+vFHDsXG8p8xY3y6l9VqxWw2Y7FYihq2iIiIFCMlByICQExMDAkJCUA+dQxCQmDcOHjzTY9pRL2Ba158kbdeeinf+ziPTiQmJmoEQUREJIhozYH4TGsOygebzUZMTEzBHWfNgvvvh7NnXQ5vAZbGxTEsKcnjlDynLYmIiEhQ0MiBiLjwKTEA6NcPvv0WatRwOXwp0MtqZcoTT7gcV2IgIiIS/JQciMj569IFbDZo2NDlcAOg7//9H58+/DCgxEBERKS00LQi8ZmmFUmeUlLg5pth0yaXw2eBx6pU4f0TJxzHlBiIiIgEL40ciEjRNW4Myclw3XUuh8OBySdO8My510oMREREgpuSAxEpHrVqwTffwF13eTSNB96NiCDOyzaoIiIiEjyUHIhI8alYET79lLWdO3s0DT1zht+vvBJOn/Z/XCIiIuITJQciUqysr71Gh5Ur8TZGcMmGDey+7DI4csTfYYmIiIgPlByISLFx3pVoPLDg7ruhQgWXPk127ODQJZdAamoAIhQREZH8KDkQkWLhbbvSnp9+Cl9/DdWqufStfeAAxy6/HDZu9HeYIiIikg8lByJSZPnWMejWDZYvh3r1XM6pfvQopzt0YP2ECYW6l81mK3K8IiIi4p2SA8lTdHS0y9cNN9wQ6JAkCNlstoILnF15JaxaBRdf7HK44unTXPz443wxYIBP97JarZjNZiwWSxGjFhEREW+UHIhIkcTExJCQkAAUUMegWTNYsQLcdjKKAG6fOZPvb7893/s4j04kJiZqBEFERKQEqEKy+EwVkiU/NpuNmJiYgjueOgX33gtffunR9NN113H1kiUQ4vq5Rb7TlkRERKTYaORARIqFT4kBQKVKMHcuDBvm0XT18uVsatcOzp51HFNiICIi4j9KDkTE/0JD4Z134JVXPJqif/2VndHRcOyYEgMRERE/Cwt0ACJSTplMMHo0NGgAQ4ZAdrajqdm2bWyIjOQtp2NKDEREREqeRg5EJLAGDYKFC6FKFZfDrbOzWQlcjBIDERERf1FyICKB16MHLF0Kdeq4HG4GrDSZiDObAxGViIhIuaPkQESCQ/v2TBo4kK1uhyMNg8wuXeCLLwIRlYiISLmi5MAPMjIyWL58OePHj6dfv340b94ck8mEyWSiWbNmPl3j4MGDTJs2jccee4zOnTvTvHlzqlWrRkREBPXr16d79+68++67nDhxomTfjEgJsVqtDHvtNToDP7m1VcjKIqdPH3j33UCEJiIiUm5oQbIf9OzZk6VLlxbpGvPnz+fhhx/22rZ//37279/Pt99+i9VqZe7cubRr165I9xPxJ+ddif4GVrz8Mlf/9BN89ZWjT4hhwPDhkJoKY8bkLmgWERGRYqXkwA+c68xFRkbSvn17Vq5cSUZGhs/XMJlMtGzZktjYWNq2bUvDhg2pX78+p0+fZteuXUyfPp1vvvmGXbt2ceONN7Jx40YaNGhQEm9HpFh526706bg4yMrKrYXw3/+6njB2LOzZw4pBg7g2Ntbn+/hcpE1ERKQcU4VkP5g8eTLVqlWjQ4cOXHTRRQA0a9aMXbt20bRpU3bu3FngNbKysggLyz+Xe/PNN3nqqacAeOqpp3j99deLHLszVUiW4lZgHQPDgJdfBovF49zFwObERJ5+6SWf75OQkIDFy7VEREQkl5KDAClscuCLrKwsatWqRUZGBu3bt2fNmjXFcl07JQdSnGw2G2anXYjy3a70/ffJefTR3KlFTtYCq55/nsfHjMnzPu4JSHJyskYQRERE8qAFyWVIWFgYFStWBOD06dMBjkYkfzExMSQkJAA+1DF4+GFC5s8ns0IFl8PtgVtfeYXJzz7r9TRvIxNKDERERPKm5KAM+d///sfff/8NwCWXXBLgaEQKZrFYSE5O9q3A2W23USE5mcwaNVwOtwB6jx/PR4895nK8wClLIiIi4kHJQSl3/PhxNm/ejMVioXfv3o7jTzzxRACjEvFdoT7Jv/pqKqxeDc2buxyuDfR95x3mDBoEKDEQERE5X9qtqBSyWCwkJiZ6bQsNDeWtt946r6kTqamp+bbv27ev0NcUKXatWsGqVXDLLfDzz47DVYDe06bxxOzZ/N/Jk47jSgxERER8p+SgDOnatSsTJkw47ylF9sXGIkGvbl1YuhTuugu++cZxOBR46+RJagGJKDEQEREpLO1WFCBF2a3o4MGDHDx4EIATJ06wZcsWPvroI5YsWUKbNm2YPHkyV199daFjMhWiqJR2K5KgkJkJQ4bARx95NH0UEcEDGRlQwBbAIiIi8g8lB+cU5sE4L1OmTGHQuTnPBSmJrUxfeeUVXnjhBSpWrMiXX37JTTfdVKjzfZlW1LFjR0DJgQQRw2Bl1650XrLEo2nbJZdw0dq1UKVKAAITEREpffSRWhny/PPPM3/+fFavXs3DDz/M9u3bCyyc5kwP+1IaWceNI37JEoYBE3DdZeGi339n76WX0mDdOqhdO0ARioiIlB5KDs7ZsmVLka9Rv379YoikaHr16sXq1avZvXs3q1evpnPnzoEOSaTEOO9K9C7Q7b776DNnDjjV+WiQkkL6ZZcR+dNP0KJFgCIVEREpHZQcnFNW6gLUdvp0dNeuXUoOpMzytl1pn7g4GDoUevaEw4cdbZF//82JK66gytKl0K5dAKIVEREpHVTnoIzZs2eP4/uqVasGMBKRkpNvHYNrr4UVK6BJE5dzqmRkcLZzZzb+5z+FupfNZityvCIiIqWFkoMyJCcnh7lz5zpet27dOoDRiJQMm81WcIGzSy/NrYXQpo3L4fCzZ7l45Ei+6tfPp3tZrVbMZjMWi6WoYYuIiJQKSg5Kiffff5/s7Ow823NycnjmmWfYuHEjAGazmWbNmvkpOhH/iYmJISEhASigjkGDBrB8OVx/vcvhCsCts2ezrEcPyGezNufRicTERI0giIhIuaCtTP1g27ZtHg8WI0eOJC0tjaioKMaPH+/S1qNHD+rVq+dyzGQy0bBhQ+68806uueYamjZtSuXKlTl8+DC//PILU6dOZf369QBUr14dm81W7CMHqampjkJp2spUAs1ms/lWCfzMGRg8GD75xKPp52uu4SqbDUJDXY7nO21JRESkDFNy4AdTp05l8ODBPvdfsmQJsbGxLsd8rcNw6aWXMn36dK666qrChOgTJQdSauXkQFwcuCXiAH9edhmt1q6FSpUAJQYiIlK+abeiUmLdunUsWrSIH3/8kR07dnDgwAGOHDlC5cqVadCgAVdddRW9e/emV69eVKhQIdDhigSXkBB47TVo2BCeftplOlGrzZtJvfRSGv38M9b331diICIi5ZpGDsRnGjmQMmHWLLj/fjh71uXwnyEh3JiTw+5zr5UYiIhIeaQFySJSvvTrB998AzVquBxulZPDKuAKlBiIiEj5peRARMqf2FhITs6dZuSkAZAMxLVvH4ioREREAk7JgYiUT61bM/H++9nodrgakN29O8ycGYioREREAkrJgYiUS1arlRFJSZiBZW5todnZMGBA7u5GWpYlIiLliHYrkjxFR0e7vM7MzAxQJCLFy3m70iPAmn//my6//QZz5rh2fPZZSE2F11/P3fFIRESkjNNfOxEpV7zVMRj5wgvw6afw+OOeJ7z1FtxzD5w+7ccoRUREAkNbmYrPtJWplHYFFjgzjNypRM8953Hu0SuvpMaSJVCzpk/38rmCs4iISBDRyIGIlAs2m63gAmcmU+5UounTyQ4NdWmq8euvHLrkktxpRgWwWq2YzWYsFktxhC4iIuI3Sg5EpFyIiYkhISEB8KGOwYABhC5ezJmICJfDtQ8c4Njll8NG9z2O/uE8OpGYmIjNZit68CIiIn6iaUXiM00rkrKgUNN9fv2Vs127Ep6e7nL4dMWKVFy8GLp0cTle4LQlERGRIKeRAxEpVwq1DuDKKwlftw4uvtjlcMXTp8nq2hVmz3YcU2IgIiJlgbYyFRHJT7NmsGIF3H47rFzpOByWnY1x992Y9u3DeuqUEgMRESkTlByIiBQkKgq+/x7uvRe+/NJx2GQY8MQTmAATYKDEQERESjdNKxIR8UWlSjB3Lgwd6tH0HPAxMG7MGCUGIiJSqik5EBHxVWgoTJwIr7zi0TQAeHbJEjh2zP9xiYiIFBMlByIihWEyYQ0NZRCQ5d72v//BddfB3r3+j0tERKQYKDkQESkE+65E04DbgAz3Dr/9Bp07w++/+z84ERGRIlJyICLiI/ftSq9PSqLqmjWcqFrVteOuXXDttS67G4mIiJQGSg5ERHyQZx2D9u2p8uuvpEdFuZ6Qng5du8IXX/g3UBERkSJQciAiUoACC5xdeCGRW7aw91wFcYfTpzH69oV33/X5XjabrajhioiInDclByIi+bDZbL4VOKtdmwZbtrDtkktcDptycmD4cHj+eTCMfO9ltVoxm81YLJbiCF1ERKTQTIZRwF8rKbeio6NdXmdmZrJ161YAUlJSaNSoUSDCEvE7i8VCYmKibwXOsrL4rVMnrli71rNt4EB4/32oUMGjyX10Ijk5mZiYmKKGLiIiUigaORARKYDFYiE5Odm3AmdhYVyxejW7Bw/2bJs2DXr2hAzXPY68TVtSYiAiIoGgkQPxWWpqKo3PzanWyIGID95/n5xHHyXE/ddsu3bw1VdQt27B6xlERET8KCzQAYiIlFkPP0xIvXpk9u1LhczMf46vWwedOzO5Tx/ix493HFZiICIigaZpRSIiJalnTyosX87JypVdj//1F73Hj6fDuZdKDEREJBgoORARKWnXXEPlX37hSGSky+HawBJg1qBBSgxERCQoKDkQEfGHVq2ouWkTv4aGuhyuAtz18cfw3/8GJi4REREnSg5ERPzEOm0a5uxsvnFvyM6Ghx+Gl18usBaCiIhISVJyICLiB/ZdiTKA24DPwsM9OyUkwKOPQlaWv8MTEREBlByIiJQ49+1KxyQlcffp06yKjfXs/P770Ls3nDjhvwBFRETOUXIgIlKC8qxjYDLRackSvu3Vixz3kxYu5FjHjnDokM/3sdlsxROwiIiUa0oORERKiC8Fzm764gu+uO8+TrudW33zZtIvuwz++sun+5jNZiwWSzFELSIi5ZmSAxGREmCz2XyufNzn44+ZM3Qo6W7HI//+mxNXXJFbNC0PzglIYmKiRhBERKRIlByIiJSAmJgYEhISAN8KnN337rt8/vTT7HI7XiUjg7OdO8M3HnsceR2ZiImJKXLsIiJSfpkMQ/vmiW9SU1Np3LgxACkpKTRq1CjAEYkEP5vNVqgH9tVffEHHhARYv97leHZICKEffggDBwK+TVkSEREpLCUH4jMlByJ+cvRo7o5FS5Z4to0di9VkIn7UKMchJQYiIlJcwgIdgIiIuKlRAxYtgsGD4ZNPXNtGj6YquXNCc1BiICIixUvJgeQpOjra5XVmZmaAIhEphyIiYPp0aNAA/vMfl6YRQH1gx7//zTNKDEREpBhpQbKISLAKCYHx4+GNNzxqIfQBnlm0CNLd9zgSERE5fxo5kDxt2rTJ5bXzmgMR8R/rmTOsAz4GIpwbVq6Ea6+FxYuhadPABCciImWKRg5ERIKYfVei2UB34KjJ5Nrh99+hUyf47bdAhCciImWMkgMRkSDlvl3pzUlJ1PjtN45Xr+7acd8+MJvhhx/8HKGIiJQ1Sg5ERIJQnnUMWrem2saN/F2njusJx49Djx6euxuJiIgUgpIDEZEgU2CBs8aNueD330lp1sz1xMxM6N8/dxGzjyVsbDZbMUQsIiJlhZIDEZEgYrPZfKt8XKsWjbds4ffWrT3bnn0Wnn4actz3OHJltVoxm81YLJYiRi0iImWFkgMRkSASExNDQkIC4EOBs4oVueSXX1jbubNn25tvwr33wunTXk91Hp1ITEzUCIKIiABKDkREgo7FYiE5Odm3ysehobS32dgxbJhn26xZuesQjhxxOext2lJMTEwRoxYRkbJAyYGISBAq1MO6yUTziRPh44/JDnH7tb5sWe5ORqmpgA/rGUREpFxTETQRkbLivvsIrVuXM7fdRsTZs/8c37gROnXigzvvJP7NNx2HlRiIiIg7jRyIiJQlN95IxI8/klGtmuvx1FT6vPkm5nMvlRiIiIg3Sg5ERMqatm2p+ttvpF1wgcvhWsB3wLwBA5QYiIiIV0oORETKoubNidqyhdVhrrNHI4A7Zs6Et98OTFwiIhLUlByIiJRR1g8+IDYriy/dGwwD/vUviIsrsBaCiIiULwFbkHzo0CH++usv9u/fz4kTJ6hQoQI1a9akSZMmXHTRRYSGhgYqNBGRUs95V6K+wPsREQw+c8a107hxsGcPfPghhIf7P0gREQk6fksOTpw4wZdffsmiRYtYtmwZe/bsybNvREQEbdu25aabbqJ37960adPGX2GKk+joaJfXmZmZAYpERArDfbvSV5KSGPzccyzv3p3rvvvOtfOMGXDgAMydC9Wr+zlSEREJNibDMIySvMEvv/zC22+/zezZszl58iQAvt7SZDIBuQ+pI0aM4P7776dy5colFqu48pYcbN26FYCUlBQaNWoUiLBEJB8F1TH4+q67uGnOHM9Phq68Er7+GurX90ucIiISnEosOfjll1948cUXWbRoEfBPQlCvXj06duxIu3btqFOnDpGRkdSqVYtTp06Rnp7O4cOH+fPPP1mzZg3r1693fFptMpmIioriueee4/HHHyciIqIkwpZ8pKam0rhxY0DJgUgw8rXA2ewHH+SWKVOo4t7QtCksXgyXXFLgvWw2m6oqi4iUQSWSHAwePJiPP/6YnHML3a666ioGDBhA3759adKkic/XOXv2LMuXL2fGjBnMmzePY8eOYTKZaNq0KR999JH+MPmZkgOR4GWz2TCbzY7XBdUxmPbYY9z8zjvUcW+IjIQFC6Bz5zzPtSchCQkJWCyWogUuIiJBpUR2K5o2bRphYWE8/PDD/P7776xdu5annnqqUIkBQHh4ON26dWPKlCkcOHCAjz76iIsvvpidO3fyww8/lEToIiKlUkxMDAkJCYBvBc4GTpjAvGefZZt7Q3o6dO0KX3rscQS4jk4kJiZis9mKGrqIiASREhk5eOyxx4iLi3N8ylycDMNg9uzZZGdnc++99xb79SVvGjkQCX6Fne7z04IFNBk+nPqpqa4NISHwzjswdKjjkK/TlkREpPQq8QXJUnYoORApozIy2N6+PRf+8Ydn2wsvwMsvYx03TomBiEg5oORAfKbkQKQMy8xkfefOtFm71qNpfbt2tFu3jqxzr5UYiIiUXaqQ7AcZGRksX76c8ePH069fP5o3b47JZMJkMtGsWbMiX//uu+92XM9kMrFz584iX1NEypkKFWizejUrunb1aGqzbh3zgSooMRARKetKpAjayy+/XBKX9fDSSy/55T5F1bNnT5YuXVoi1164cCGzZs0qkWuLSDljMnHt99+zuE8fbpw3D+c69TcDWxs1ov7gwYGKTkRE/KBEphWFhIQ4CpiVpOzs7BK/R3GIjY1l2bJlAERGRtK+fXtWrlxJRkYGTZs2Pe9P+jMyMoiOjmb37t3UqVOHgwcPArBjx45iGZFwp2lFIuXHgGrVeD8jA4+ykxdemFsL4aKLAhGWiIiUsBKdVmQYRol9lSb9+/dn5syZbN26lbS0NL755huioqKKfN0XXniB3bt307VrV26++eZiiFREJHdXopkZGXQF/nZv3L49twbC6tUBiExEREpaiSYHGzduJCcnp1i/1q9fX5Ihl4hHHnmEe++9l4uK8ZO2tWvX8vbbbxMREcHEiROL7boiUr45b1f6I3BrjRrscO906BBcfz189ZW/wxMRkRJW6hYk+2O6UrDLysri4YcfJicnh/j4eFq1ahXokESkDPBWx+CnI0f46vnn+dm988mT0KsXfPCBX2MUEZGSVeqSA4HXX3+dX3/9lZYtWzJq1KhAhyMiZUB+Bc4eGzOGZYmJfOt+UnY2DBkCL78MPk73VEVlEZHgViLJwZIlS/jhhx9o3rx5sV+7efPmjuuXRzt27CAxMRGAiRMnEhEREeCIRKS086Xy8VMvvcRvY8bwkbcLJCTAo49CVpa3Vpf7mM1mLBZL0YMWEZESUSJbmXbp0qUkLgtA5cqVS/T6wW7o0KGcPHmSe++9l27duhXrtVNTU/Nt37dvX7HeT0QCz2az+Vz5+Nnnn8caGsrYUaMY7d74/vuwfz98+ilU9tjjyCUBSUxMpFu3bsTExBTX2xARkWJSIsmBlIzp06fz7bffUqNGDd54441iv759m1IRKT9iYmJISEggMTHRpwJncfHxWE0mHouP5/9wG35esABuuAEWLoQLLnAc9jYyocRARCQ4ac1BKZGWlsbTTz8NwNixY6lbt26AIxKRssJisZCcnOxz5eO4uDjuSU4mZO5cssLcPmP66afcrU7/+gvwbcqSiIgED40cnFMcuyBNmTKFQYMGFT0YL5555hkOHTpEx44dGTp0aIncIyUlJd/2ffv20bFjxxK5t4gEVmE/ybf3D1uyhFM33USlU6f+ady6FTp3Zmq/fsS//bbjsBIDEZHgF9DkYPv27axatYr9+/dz8uRJhg8fzgVOQ9GS64cffmDatGmEhoYyadIkQkJKZsBHFY9FpNBiYqi0di3HOnem+tGj/xw/cIC+b7/NTOA7lBiIiJQWAUkOfv75Z5588klWrFjhcvzOO+90SQ7eeecdEhMTqVGjBps3b6ZChQolFtOWLVuKfI369esXQySerFYrAO3bt+ePP/7gjz/+8OizY8c/ZYoWLFhA7dq1AbjnnntKJCYREYfLLqP6pk0cbN+eOvv3Ow5XA74CvrnrLm5TYiAiUiqYDMPHzamLycKFC7nrrrs4e/Yszrc2mUxs2LCByy67zHHs+PHjNGjQgJMnTzJnzhx69+7tz1BLVLNmzdi1axdNmzZl586d+faNjY1l2bJl53Wf4vzxpqamOhYtp6SkaKRBRFwdPUryBRdg9ral6auvQlwcqJCliEhQ8+uC5H379nHvvfdy5swZLrvsMhYtWsTx48fz7F+tWjVuv/12ABYtWuSvMEVE5DxYJ02iW1YWn3hrHDUKHn88t3CaiIgELb8mB2+88QYnTpygadOmJCcn0717d6pUqZLvObGxsRiGwbp16/wUZfBZunQphmHk+zVw4EBH/x07djiOi4j4g31XorPAAGBCxYqend55B+66C5wXL4uISFDxa3KwePFiTCYTzzzzDDVr1vTpnEsuuQRwnVMvIiLBw3270leTknjs1Cn+d+utnp3nzYMbb4T0dD9GKCIivvLrguRdu3YBFGo7zOrVqwOQkZFRIjH5w7Zt27DZbC7H7O8nIyODqVOnurT16NGDevXq+Ss8EZHzll8dg64LF/Jl//70+OQTIpxPWrECYmJg8WJo0sS/AYuISL78mhxknVuklpOT4/M5R89tjVe1atUSickfbDYbgwcP9tqWlpbm0bZkyRIlByIS9HwpcNZr5kw+qVqVW95/nxrODVu2QKdOsGgRtGlT4L1sNpuqKouI+IFfpxXZH3j/Olc50xerV68GoIk+XRIRCRo2m83nysf3Tp7MnCefZI97w969YDbDDz/key+r1YrZbMZisRQtaBERKZBfkwOz2YxhGMyePdun/mfPnuW9997DZDIRGxtbssGVoEGDBhW4oNj563ze69SpUx3nN2vWrNjfg4iIs5iYGBISEgDfCpw99MYbfBkfzyb3hmPHoEcP+PRTr+c5j04kJiZ6TNEUEZHi5dfkYNCgQQDMnz+f7777Lt++Z8+e5YEHHmD79u2YTCYefvhhP0QoIiK+slgsJCcn+1z5ePirr3L8q69Icf8AIzMT7r0XXn/d5bC3aUuaWiQiUrL8mhzExsZy9913YxgGPXv2JC4uzjFtCGDnzp2sXLmS1157jejoaGbPno3JZGLo0KFER0f7M1QREfFBYR/Wr7nlFhpv2cIfl1/u2fjMM/D005CT49N6BhERKX5+r5B85swZ+vbty9dff40pn0qZ9rD69OnDZ599RmhoqL9ClDyoQrKIFJvsbNaZzbRbtcqjaUubNly5fj1nz71WYiAi4j9+HTkAiIiIYOHChbz33nu0aNEiz3n3jRo1YuLEicyZM0eJgYhIWRMaSrsVK1hy880eTZeuX89ioAZKDERE/M3vIwfuNm/ezNq1azl48CDZ2dlERUXRtm1brrrqqnxHFqTkuU/lyszMZOvWrYBGDkSk+Cy45x56fPYZFdyOH6xXjzpr10LDhgGJS0SkPAp4ciDBS8mBiPhL3+rVmXr8ONXcGxo3zq2FoHVnIiJ+4ddpRePHj+fgwYP+vKUUwaZNm1y+fihgL3IRkfNhtVr5/PhxrgP2uTempORWU05ODkBkIiLlj1+Tg+eee47GjRvTu3dvFixYUKhKySIiUvY470r0K3BLjRr84d7pyBG48UaYM8e/wYmIlEN+X5CcmZnJ/PnzueOOO2jYsCFxcXH8/vvv/g5DREQCzNt2pb8cOcI3L76Ixx5GZ85Av37w9tt+jVFEpLzxa3KwYcMGnnzySS644AIMw+DAgQOMHz+e6OhoOnfuzAcffEBGRoY/QxIRkQDIr47Bv15+mZUvv8yX7icZBvzrXxAXBxp5FhEpEQFZkJyVlcXChQuZMmUKixYtIisry7EzUeXKlbnzzjsZPHgw1113nb9Dk3yozoGIFAdfC5yNGzuW6s8/z1BvFxkwAD78EMLD872XzWZTVWURkULw+7QigLCwMO644w6+/PJLUlNTGTduHJdeeimGYXDixAk++ugjrr/+elq1asWrr77K3r17AxGmiIgUM5vN5nPl4+dGj+boq6/ygrfGGTPg1lvh2LE872W1WjGbzVgslqIFLSJSjgTVVqarV6/mww8/5LPPPuPo0aMAmEwmQkJCuPHGG3nooYe4/fbbqVDBfTds8QeNHIhIcbBYLCQmJvpc4MxqtfJ7fDzvA2HujVdeCV9/DfXre5zjnIQkJydrBEFExAdBlRzYnT59mjlz5vDcc8+xf/9+AMe0o6ioKB588EGefPJJ6tWrF8gwyx0lByJSXAo73cdms7Hvww+5ZcoUqrg3NmsGixfDxRcDvk9bEhERT0GXHOzatYupU6cybdo0du3aBYB7iCaTiYoVKzJmzBieeuqpQIRZLik5EJFAm/bYY9z8zjvUcW+IjIQFC7AmJysxEBEpAo8R2kCwjxRMmTKFZcuWYRiGIyFo1aoVDz30EPfffz8bN27kgw8+YO7cuZw6dYqRI0dSu3Zt7rvvvgC/AxER8YeBEybwXuXKdH3tNS5ybkhPJ7NLF1ZmZTkOKTEQESm8gI4crFq1iilTpjBr1iyOHz8O5I4SVKpUiTvvvJMhQ4ZgNps9ztu+fTt33nknv/32G23btmXdunX+Dr1c0siBiASLt198kWvGjKGD2/FsYDjQQomBiMh58fvIwb59+/joo4+YOnUqf/75J/DPtKG2bdsyZMgQBgwYQPXq1fO8xoUXXojVaqVHjx6Oa4iISPnx+L//zevh4Rx86SVudToeCrwHkJGRWxfh3Ho1ERHxjV9HDm655Ra+++47cnJyHAlBjRo16N+/P0OGDKFt27Y+X2vbtm20atUKk8lEdnZ2SYUsTjRyICLBpm5kJGMPH+Yhb42DB8N774F2uBMR8ZlfRw4WL17s+N5sNjNkyBDuuusuKlasWOhrVa5cmeuuu86xi5GIiJQvVquVg4cPMwTYA7zk3mHKFNi/H2bNgqpV/R+giEgp5NeRg3r16jFw4ECGDBlCy5Yt/XVbKSYaORCRYOG+XWlkZCR909N5l9ypRS7at4evvoI6HnsciYiIG7+OHKSmphIWFhQbJIkPoqOjXV5nZmYGKBIRkX/kVcfAarXSOz6eT4HKziesXQudO+fWQrjoIvfLiYiIkxB/3kyJgYiIFEV+Bc7i4uK4NimJrsDf7idu356bIKxe7bdYRURKo6ArgibBS9OKRCSQfK18bLVa+TA+nsVAc/fGypVh9my45ZZ871XYCs4iImVFiXyUv3v37pK4LE2aNCmR64qISHCz2Ww+Vz62H+8cH8/XgMs+eCdPwu23w+TJ8OCDXs+3JyEJCQlYLJbieQMiIqVEiYwchIZ6LAcrMpPJRJZT5UvxP40ciEggWSwWEhMTfa58bLVaeSU+njnATd46vPwyvPCCSy0E99GJ5ORkjSCISLlSIslBSEjxL2VQPYPAU3IgIoFW2Ok+NpuNVcuWUe+FF7jfW4dHH4UJEyAszOdpSyIiZVmJTCuaMmVKvu0TJ05kzZo1VKhQgZtuuomOHTtSt25dAA4cOMCaNWv49ttvyczMpH379gwfPrwkwhQRkVKmsJ/ix8TEEBMTgzU0lFdHjWKUe4f33oO9e/lPhw7Ev/RPpQQlBiJSXvl9QfJDDz3E1KlTufHGG/nggw9o2LCh13579uzh4Ycf5ptvvmHw4MH897//9WeY4oVGDkSkNLNaraTEx/N/eG7VtwroCaShxEBEyje/Jgdz5syhX79+dOjQgZUrVxa4NiE7O5tOnTqxbt06PvnkE/r16+enSMUbJQciUtpZrVZWx8czA6jo1vYHsOS55xhqtQYgMhGR4ODXOgfvvfceJpOJp59+2qdFy6GhoTzzzDMYhsHkyZP9EKGIiJRlcXFxdExK4kbgsFvbxcDQadPg558DEJmISHDwa3Kwfv16AFq1auXzOfa+GzZsKJGYRESkfImLi2NzZCQxgMfG2wcOQJcu8O23AYhMRCTw/JocHD9+HICDBw/6fI69r/1cERGRorBaraSnp7MZ6ASsd++QkQG33goff+z/4EREAsyvyUHTpk0B+Oijj3w+x95XBdBERKSo3LcrPR0ZiRlY4t4xKwseeACsVvDvvh0iIgHl1+SgV69eGIbBp59+yrhx4wrsP378eD755BNMJhO9e/f2Q4QiIlJWeatjkJaWxuikJHoAn3o7KT4e/vUvUJ0dESkn/Lpb0ZEjR4iOjmb//v0AtGnThoEDB9KhQwfq1KmDyWRy1Dn4+OOP+fXXXzEMg/r167Np0yZq1qzpr1DFC+1WJCKlVUEFzqxWK6Pi43kNeMbbBfr0genToVKlEo9VRCSQ/F7nYMuWLXTv3p3U1FRMTiXrvTEMg0aNGrF48WIuu+wyP0UoeVFyICKlka+Vj+39ngJe93ahmBj48kuIjPR6n8JWbxYRCUZ+nVYEcOmll7Jp0yaeeeYZatasiWEYXr9q1qzJ008/zcaNG5UYiIjIebHZbD4lBpC7i1FSUhJvAPcAZzwvlpsg7PbY4wir1YrZbMZisRRX6CIiAeH3kQNnmZmZrFu3jg0bNpCeng5ArVq1aN26Ne3atSM8PDxQoQkQHR3t8jozM5OtW7cCGjkQkdLDYrGQmJjoc+XjYcOGMWnSJGKBL4Aa7h0aNIBFi6BNG8BzZCI5OVkjCCJSagU0OZDgpuRARMqKwk75sScIrYFFQEP3DtWrw7x5WNes8XlkQkSkNFByID7TmgMRKU/sIwKNyU0Qot3as0NDGZCdzWfnXisxEJGyIKwkLrr73HzMhg0bEhoaWqzXzs7OZs+ePYBqH4iISMmxP+jHx8djBr4EzE7todnZfAo0AOoqMRCRMqJEkoNmzZoREhLC+vXri30x8e+//07r1q0JCQkhKyurWK8tIiLizDlBuBGYAfR16/M6wIEDkJMDIX7f50NEpFiV2G+xkp6tpNlQIiLiD/ZdjM4A/YAJ3jq98Qb07w9nPPY4EhEpVUr0I46C6hiIiIiUBnFxcURGRpIDPA54nUD02WfQowccOeLX2EREilOJTCuyu+mmm6hQoUKxXjMzM7NYryciIlIQq9Xq2HIbYBywF5gaEkJoTs4/HZcuheuuy93qtKHHHkciIkGvxJIDwzAcC4dFRERKK/c6BpGRkaSnpzMd2J+Tw8LwcCLOnv3nhA0boFOn3AQh2n2PIxGR4FYiycHAgQNL4rIiIiJ+5Z4Y2LcrtR//Hrjm7FmSq1alakbGPyempORWU54/H8xmzwuLiAQp1TkQn6nOgYiUJ3klBt7amwFrL7iAqL//dr1IRARMnw533pnnfQpboE1EpCRpzzURERE3BSUG8M8uRgA7gYv//pvN1au7XujMGejXD95+O8/7mM1mLBZLMUYvInL+NHIgPtPIgYiUBzabDbPTVKCCKh87JxKVgE+B2711jIuDsWMdtRDcE5Dk5GSNIIhIwGnkQERExElMTAwJCQlAwYkBuI4gdO7alT7Ae946Wq0wcCCcPet1ZEKJgYgEgxIZOfj888/p06dPcV/WYe/evezevZtrrrmmxO4hnjRyICLlSWHXAtj72x/8XwD+7aXfzosuos22bRw/99qXBERExF9KZOTgzjvv5Morr2TOnDnFet2UlBSGDx/OhRdeyLffflus1xYREXFW2E/y7f3tIwljgAeBLLd+zbZtYxlQDyUGIhJ8SmQr0wsvvJD169dz991306RJE/r370///v2JPo/9nk+cOMG8efOYOXMm33//PVlZWYSFhXHhhReWQOQiIiJFZ3/gj4+PZz8wG6ji1N4W2FKrFjXvuMP/wYmI5KNEphVlZmby5ptvMm7cONLS0jCZTAC0bNmSa665hg4dOtC2bVvq1KlDrVq1qFWrFqdOnSI9PZ3Dhw/z559/smbNGlavXs3q1as5ffo09jD79OnD2LFjadWqVXGHLW7ck7nMzEy2bt0KaFqRiIgv7FOMOgBfAbXdO0RGwsKFuUXTRESCQInuVpSRkcHEiRN55513SElJyb3huUTBF/bQIiIi6NOnD0888QQdO3YskVjFk5IDEZGii4qKIj09nQuBxcBF7h0qVoTPPoPbve5xJCLiV37ZyjQnJ4fvvvuOWbNmsWTJEnbu3FngORUrVuTqq6+mV69ePPDAA0RGRpZ0mFIALUgWESkc912JapM7gtDBvWNICEycCI8+6sfoREQ8BaTOwZ49e1i5ciWpqakcOnSI9PR0KlasSO3atalduzatW7emffv2VKhQwd+hST6UHIiI+M49MYiMjCQ9PZ0qwCzgFm8nvfACvPwyFGKUXUSkOKkImvhMyYGIiG/yqrBsPx5Gbi2EB72dPHgwvPce6AMyEQkAFUETEREpRnklBvDPNqdZwEPAy94uMGUK9OoFGRn+CFdExIWSAxERkWKSX2Jg51xROQF4FMhxn0a0aBFcfz0cPJjnvWw2W3GFLSLioORARESkGNhstgITAzvnBGEy0NswOOXeae1a6NwZtm3zON9qtWI2m7FYLMUTvIjIOQFdc3D8+HF27NjB8ePHyc7OLrD/dddd54eoil9GRgY///yzo27DmjVrHDs2NW3a1Kfdm3bu3Enz5s19ut/AgQOZOnXq+QecB605EBHJn8ViITEx0efKx84jDdcAC4Eo9061a8NXX0GHDh7nACQnJxe6mrOISF5KpEJyQd5//30mTpzIhg0b8DU3MZlMZGW5F6EvHXr27MnSpUsDHYaIiJQwi8VCt27dfH5Yj4uL49prr2XFihXEx8fTmdxaCC4fBR06BLGxMHs21g0bPEYnlBiISHHya3KQnZ1N3759WbBgAYDPiUFp5/w+IyMjad++PStXriTjPBebjRkzhl69euXZXqtWrfO6roiIFF1hH9ZjYmIc59gThK+Bts6dTp4kp2dP/sjJcRzydXRCRKQw/JocTJo0ifnz5wNQt25dBg8eTLt27YiMjCQkpOwuf+jfvz+PPvooHTp04KKLcmtjNmvW7LyTg4YNG3L55ZcXZ4giIhJg9gf9+Ph4ugBzgRud2kNycvgQaAhUffVVJQYiUiL8mhx89NFHAFx22WUkJyeXm0+4H3nkkUCHICIipYBzgnAr8AFwv1uffwPs3AlZWRAWkNnBIlKG+fXj+i1btmAymXjxxRfLTWIgIiJSGPadjDKBgUCSt07vvQd9+8LJk/4NTkTKvIDM5bn44osDcVsREZFSIS4ujsjISAxgFPAYkOPeaf586NoV/v7b7/GJSNnl1+SgZcuWAKSnp/vztmXO22+/zUUXXUTFihWpUaMG0dHRDB06lJ9//jnQoYmISDGwWq0ufyvfAe4CstynEf34I1x7LezY4df4RKTs8mtycM8992AYBgsXLvTnbcucn3/+me3bt3PmzBmOHTvG5s2bee+992jXrh1Dhw7lzJkz53Xd1NTUfL/27dtXzO9ERETcudcxiIyMBOBz4PqsLE5XrOh6wp9/5hZL++UXP0YpImWVX4ugnTlzhmuuuYbff/+db7/9FrPZ7K9bB51mzZqxa9euQhVBa9u2Lb179yY2NpaWLVtSsWJF9u3bx7fffssHH3zg2P2of//+zJgxo9AxmUwmn/uqCJqISPFzTwzs25U6H78MWFWjBtWPHnU9uWpV+PxzuPFGRETOl98rJB88eJA+ffqwdu1a/vWvf9G/f38uueQSKrp/ElLGFTY5OHv2LFlZWVSuXNlr+9atW+nWrRu7d+8G4Msvv+T2228vVExKDkREAievxMBbe0Pg53r1qLN/v+tFwsLgww/hfvc9jv5hs9lUOE1E8uTXaUWhoaHUr1+fVatWcfbsWf7zn//Qrl07qlSpQmhoaL5fYSW8XZvJZCry19SpU0ssvvDw8DwTA8hdzzF9+nTH67fffrvQ90hJScn3a/Xq1ecVu4iI5K+gxAD+2cUIYA/Qcv9+fq1Z0/VCWVnwwANgtYKXz/6sVitmsxmLxVLM70BEygq/bpDsPkhRXiok+4vZbOayyy5j8+bN2Gw2cnJyClVcTiMBIiL+Z7PZCkwM7JzrIBwDrj5yhGnAPe4d4+MhNRXefBNCQwHXBCQxMZFu3bppBEFEPPg1OUhISPDn7Qply5YtRb5G/fr1iyGSorEnB6dPnyYtLY3atWsHOiQREclHTEwMCQkJJCYm5psY2DknCOauXen/v/+xF3javeOECbB3L0yfjvX//s8jAVFiICLe+H3NgeQq7JoDX/Xr14/Zs2cDues7ijM5SE1NpXHjxoDWHIiIFLfCrgWw97ePCDwFvO6lX0qzZlyxcyeHz732JQERkfJLddfLmM2bNwMQERFBVFRUgKMRERFfFfaTfHt/55GEvcA0IMKpX+OdO7EBPYARSgxEpABKDsqQFStWsGnTJiD3j0Zh1huIiEjp5ZwgHAC+AGo4tV8GbKpenWo33+z/4ESkVCmR5MC+nWZxa9KkSYlctzT44osv6NWrV57bjW7bto3+/fs7Xg8fPtxfoYmISBBwWYsALCJ3y1O7aseOgdkMX3wB118fgAhFpDQokTUHoed2RihOJpOJrKysYr+uP2zbtg2bzeZybOTIkaSlpREVFcX48eNd2nr06EG9evVcjplMJi666CL69OlDx44dadSoEREREezbt49vvvnGpQhav379+Oyzz4r9fWjNgYhI8IuKiiI9PZ3GwGJyRw1chIfDRx/B3Xf7PzgRCXolMnKgNc6ubDYbgwcP9tqWlpbm0bZkyRKP5AByk4xx48ble69hw4bxxhtvnH+wIiJSalmtVtLT0wFIAWKALwGzc6ezZ+Gee3J3MnrqKf8HKSJBrUSSgylTppTEZcu1+fPns2rVKn766Sd27drF33//zYkTJ6hevTotWrTAbDbz4IMPcvnllwc6VBERCQD3QmqRkZGkp6dzIzAD6Ot+wtNP59ZCeO010Bo1ETlHW5mKzzStSEQkOOVVYdl+PAR4C3jM28l33w3TpkFEhLdWESln9FGBiIhIKZZXYgC5i5STkpLIAR4HvG5i+tln0KMHHD2a733c186JSNmk5EBERKSUyi8xsLMnCADjgPuBLPed75Yuzd3JaM+ePO9jNpuxWCzFF7yIBCVNKxKfaVqRiEjwsNlsmM3/LDUuqPKxcyJxIzAXqObeqXFjWLwYLrvM63kAycnJhS7YJiKlh0YORERESqGYmBgSEhKAghMDcB1ByOnalS7AfvdOKSlw7bVwbgqRt5EJJQYiZZtGDiRP0dHRLq8zMzPZunUroJEDEZFgYbPZCvXAbu9vtVqZFB/PYuBi904REcy78076zJjhOORLAiIipZ+SA8mTkgMRkbLNarXyWnw8C4BObm05wL+Ad1BiIFKeKDkQn2nNgYhI2WO1WkmMj+dT4HYv7atiY+n0ww/gvohZRMokrTkQEREpx+Li4khISqIP8J6X9k5Ll8LAgbmVlUWkzFNyICIiUs7FxcVRIzKSocCL3jp8/DH07AnHj/s5MhHxNyUHIiIi5ZzVaiU9PR2AMcBDQJZ7p2+/hS5dYL/HHkciUoYoORARESnH3LcrjYyM5ENy1x+ccO/8yy/QqRP88YcfIxQRf1JyICIiUk55q2OQlpZGUlISi4DrgUPuJ+3cmVsL4ccf/ReoiPiNkgMREZFyyFtiYN+u1F4wbQ25W5xudz85LQ1uuAHmz/dXuCLiJ0oOREREypn8EgM7e4KwHegMrHG/yKlT0Ls3TJ5c0uGKiB8pORARESlHbDZbgYmBnT1BOEjuFKOv3Tvk5MCjj0JCAuRRNslmsxVL3CLiH0oOREREypGYmBgSEhIA3yof2xOEE8B/zGY+9Nbp5Zfh4Ychy3WPI6vVitlsxmKxFEvsIlLyVCFZfKYKySIiZYfNZiMmJsbn/hMnTmTEiBEAvEwe9RBuuQVmzYIqVTymLiUnJxfqfiISGGGBDkBERET8r7AP6sOHD+f48ePEx8fzEpAKvGsyEeL8GePXX8P11/N29+7EjxnjOJyUlKTEQKSUUHIgIiIiPrFPQYqPj2cysN8wmBMWRgXn6URr1tBjzRpaAH/h29QlEQkeWnMgIiIiPrOvQQCYD1yXlcWpypVd+rQEVgFTH3tMiYFIKaPkQERERArFOUH4Ebjy5El2h7g+UtQBBk6ZAosW+T9AETlvmlYkeYqOjnZ5nZmZGaBIREQk2DhPMfoTuDonh6+Bts6dTpyAnj3hv/+FQYP8H6SIFJpGDkREROS8xMXFERkZCcB+oAuwNMztc8fsbBg8GMaMybMWgogED40cSJ42bdrk8tp5K1MRERGr1Up6errj9XHgpqwsfm7blst/+cW184svwp49MGEChIb6N1AR8ZlGDkRERKTQ3OsY2EcQMoE2v/zCj126eJ40aRL07QsnT/opShEpLCUHIiIiUijuiUFSUhJpaWmORcoG0GnZMr7r2RNMJteTv/wSunWDtLR872Gz2Yo7bBHxgZIDERER8Zm3xMC+ONl5FyOAmxYs4Iv+/clyn0a0ahVcey3s3JnnPcxmMxaLpbjDF5ECmAxDq4PEN85rDlJSUmjUqFGAIxIREX/KLzHIr58Z+BKo5d6xXr3cqspt2+Z5bnJysqori/iRRg5ERESkQDabzafEADxHEJKBGCDFveP+/dClC3z/PeA9+VBiIOJfSg5ERESkQDExMSQkJAD5JwZ2zglCQkICDyQl0QnY4N7x+HG4+WYW3HOPz8mHiJQcTSsSn2lakYiI2Gy2Qn2a79zfarXyanw884DrvfR9DngNJQYigaTkQHym5EBERIrKarXyUnw8HwF3e2lf27kz7ZcvVy0EkQDRtCIRERHxm7i4OF5OSuJe4A0v7e1XroR77oHTp/0dmoig5EBERET8LC4ujlqRkTwNPOOtw5w5cNNNcPiwnyMTESUHIiIi4ldWq5X09HQAXgfuBc66d0pOhpgY2L3bz9GJlG9KDkRERMRv3LcrjYyM5FOgB3DUvfPmzdC5M2zw2ONIREqIkgMRERHxC291DNLS0khKSmIJcB2w1/2kPXtyRxCWLvVfoCLlmJIDERERKXH5VVe210RYD3QCNruffOwYdO8On33mr3BFyq2wQAcgwSs6OtrldWZmZoAiERGR0iy/xMDO/jo+Pp4YYD65VZUdzp7N3cVo71546qkSj1mkvNLIgYiIiJQYm83mc+Vj+wjCYeBG4HNvnZ5+Gp55BnJySiJckXJPyYHkadOmTS5fP/zwQ6BDEhGRUiYmJoaEhATAt8rH9gThNLDhxRfZ27u3Z6fXX4cBA+DMGY8mm81WHGGLlFtKDkRERKREWSwWkpOTC0wM7OLi4khOTsYICaHhvHks697ds9Onn8LNN8PRf/Y4slqtmM1mLBZLMUUuUv6YDMMwAh2ElA6pqak0btwYgJSUFBo1ahTgiEREpKyy2WyYzWbH64V33cWt8+ZBVpZrx9atYdEirNOnu0xfSk5OJiYmBhEpHI0ciIiISNCJiYkhKSnJ8fq22bOZ9cADUKWKa8cNGzgWHc00t3UNSgxEzo+SAxEREQlK9vUHdnd/+CFTBw+GOnVc+lU/epQVwLX4tq5BRPKm5EBERESClnuCMHjCBCYNHAgtW7r0qwUsDQsjzu24iBSOkgMREREJau4JwrDXXqPVoUP85NYvLCsL7rwTJkzwb4AiZYiSAxEREQl67gnC1iNHuAFY4N7RMODxx2HUqNzvRaRQlByIiIhIqRAXF0dkZKTj9UngoVq14OGHPTsnJcHAgbmVlUXEZ0oOREREpFSwWq2kp6e7HDt0+DDWFi0gMdHzhI8/hp494fhxP0UoUvopORAREZGgZ7VaXeoYOI8gxI8ahTUiAt5/H0JDXU/89lvo0gX278/3+qqsLJJLyYGIiIgENffEICkpibS0NJc1CPHx8VjT0uDLLzlboYLrBX75BTp1gj/+yPP6qqwskkvJgYiIiAQtb4mBvY6B+yLl+Ph4hi1cSExmJofcL7RzJ1x7Lfz4Y57XT0xM1AiClHtKDkRERCQo5ZcY2LknCJMmTSKqRw86A9vdL5iWBjfcAPPn53l9VVaW8s5kGNrnS3yTmppK48aNAUhJSaFRo0YBjkhERMoqm82G2Wx2vC6o8rH7g/7QoUP5fNIkvgLau3cOCWFxr17cPG+ez9cXKS80ciB5io6Odvm64YYbAh2SiIiUEzExMSQkJAC+Pbg7jyAkJCTw7rvv8nRSErHAIvfOOTn0mDcP+/5GSgxE/qGRA8lTdHS0y+vMzEy2bt0KaORARET8w2azFWqqj3t/q9XKC/HxTAYGe+m/vn172qxcCe6LmEXKKSUH4jNNKxIRkdLIPuXo38AL3jrccgvMmgVVqvg5MpHgo2lFIiIiUqbZKyu/CAwDst07fP01XH89HDzo/+BEgoySAxERESnTnCsrTwL6AqfcO61Zk7vV6XaPPY5EyhUlByIiIlJmeaus/CXQFUhz77xtW26xtLVr/RihSHBRciAiIiJlUn6VlVcB1wI73U86dAhiY2GRxx5HIuWCkgMREREpc3yprPwH0Bn41f3kEyegZ0+YMsVP0YoEDyUHfpCRkcHy5csZP348/fr1o3nz5phMJkwmE82aNTuva27ZsoVnn32WNm3aUKtWLSpVqkSzZs3o1q0bY8eOZefOncX6HkREREqLwlRW3gdcB3zvfpHsbHjwQRgzBvLZ2NFmsxVb3CJBwZASFxsbawBev5o2bVqoa+Xk5BijR482wsLC8rwmYLzxxhvF/j5SUlIc109JSSn264uIiBRVcnKyy9/DpKSkfPsnJSUZgFEBjI9z0wDPr6FDDSMrK89zExISSujdiPifRg78wHD6xCEyMpKbbrqJqlWrnte1HnnkEcaOHUtWVhbt2rXjnXfeYfny5fz8888sXryYl19+mSuuuAKTyVRc4YuIiJQa51tZORN4ALB66zRpEvTtCydPOg45j04kJiZqBEHKDBVB84PJkydTrVo1OnTowEUXXQRAs2bN2LVrF02bNvV5CtCHH37IQw89BMDo0aMZM2ZMnknA2bNnCQ8PL5b47VQETURESovzqay8YsUK4uPjeRx4Ey9zrzt1ggULsP73vwVOWxIprZQcBEhhk4Pjx4/TtGlTDh8+zK233srChQtLPkg3Sg5ERKSss48I9AWmAxXd2tNq16bdoUPsOvdaiYGUNWGBDkB8M2PGDA4fPgzA888/H+BoREREyib7g358fDwHgS+BWk7tUYcOsQq4BbhHiYGUQUoOSonZs2cDcMEFF9CpUyfH8YMHD3Ls2DHq1KlD9erVAxWeiIhImeGcIMQAi4HGTu31gR8jIoho1y4A0YmULC1ILgVycnJYs2YNAK1bt8YwDN5++21atGhB3bp1admyJTVq1ODKK6/kgw8+ICcnJ8ARi4iIlG72hcqbgU7ABrf2iDNn4OabYcaMAEQnUnK05iBACrPmYNeuXY56CH379iUnJ4d58+bl2b9Xr17MmjWr0AuSU1NT823ft28fHTt2BLTmQEREyoeoqCjS09OpAXwBxHrrZLXCs8+CdgqUMkAjB6VAenq64/uvvvqKefPm0apVK+bPn8+xY8c4fvw4Cxcu5JJLLgHgyy+/dNlFwVeNGzfO98ueGIiIiJQHVqvV8Tf4KNAd+Mxbx7g4ePLJ3MJpIqWckoNS4MSJE47vT58+Tb169bDZbPTs2ZNq1apRtWpVbr31VpKTk2nQoAEAEyZMKHAkQERERLxzr7IcGRnJWeBe4A1vJ/zf/8E998Dp036KUKRkKDk4x2QyFflr6tSpJRJbxYquG6k999xz1K5d26PfBRdcwOjRowHIzMzk888/L9R9UlJS8v1avXr1+b8JERGRUsI9MUhKSiItLY2kpCQM4GngGW8nzpkDN90E53YXFCmNtFtRKVCtWjWX1zfddFOefbt37+743r6I2VdaQyAiIuWdt8TAvnuR8y5GrwN7gemhoYQ6TydKToaYGFi8GBo773EkUjooOThny5YtRb5G/fr1iyEST40aNcJkMmFfO944n182zm2HDh0qkXhERETKovwSAzvnBOFT4EB2NosiInJ3L7LbvDm3mvKiRdC6tdd7FbaCs4i/KDk4x76YNxhVqVLFZVej7HwWPDm3hYXpxysiIuILm81WYGJg55wgLAE6njnDIqCBc6c9e8Bshi++gNhYl/PtSUhCQgIWi6UY34VI0WnNQSlx3XXXOb7/66+/8uy3fft2x/cNGzYs0ZhERETKipiYGBISEoD8EwM7ex0EgPXk1kLY7N7p6FHo3h1mzXIcch6dSExMxGazFdM7ECkeSg5Kib59+zq+z6/GgfMiZLPZXKIxiYiIlCUWi4Xk5OQCEwO7uLg4kpOTSUpKYjcQA3g86p89m7uL0Ztvep22pKlFEmxUBC1AClMEDXKrJF9xxRVs3LiRKlWq8NNPPxEdHe3SZ8uWLXTs2JGMjAxq167Nzp07qVy5crHFnJqa6ljToCJoIiIi/7A/+FcEZgB9vPQZDzwHGPg2OiESCJqU7gfbtm3zGDbMyMhw/Nd9C9QePXpQr149l2MhISG8++67dO3alRMnThATE8Nzzz3H9ddfD8Dy5ctJSkpyXPftt98u1sRARERE8ua8DuEu4C3gMbc+I8ldl7B3zBhGKjGQIKWRAz+YOnUqgwcP9rn/kiVLiHVbvGQ3d+5cBg8ezPHjx722V6hQgf/7v/9j6NCh5xNqvjRyICIikj/nqUNxQJK3TjfcAJ9/DjVq+DM0EZ9ozUEp07dvXzZu3MjIkSO59NJLqVq1KpUrV+biiy9mxIgRbN68uUQSAxERESmY80JlK/AAkOne6Ycf4LrrYO9eP0cnUjCNHIjPNHIgIiLim6ioKNLT0wG4CZgLVHXv1KRJbrG0Sy/1c3QiedPIgYiIiEgxslqtjsQA4FugC5BR1S092L0brr0WtJ2pBBElByIiIiLFxH270sjISAB+BtpkZJB+wQWuJxw+DDfeCPlsUy7iT0oORERERIqBtzoGaWlpjjUIO4BWf//N3nNTdB1On4a+fWHiRD9GK+KdkgMRERGRIvKWGNi3N3VepJwGXJSSwrZLLnG9gGHAiBEwenTu9yIBojoHkif3ImuZmR77LYiIiJR7+SUGds51EE4Bl/z+O2s7duTK1atdL/bqq7BnD/z3v1ChQkmHLuJBIwciIiIi58lmsxWYGNg5jyBkA21Xr2b1rbd6dvzoI7jtNvBS08i9qKpIcVNyIHnatGmTy9cPP/wQ6JBERESCSkxMDAkJCUD+iYGdc4LQpUsXrv7qKxb16QOhoa4dv/0WYmNh/37HIavVitlsxmKxFOdbEHGhOgfiM9U5EBER8c5msxETE+Nz/4kTJzJixAjH61mDBnHXrFlw8qRrx+bNYfFirPPmuYxQJCcnF+p+Ir7SyIGIiIhIERX2QX348OGOEQSAflOn8tHgweC+1emOHZxs25Z5blOXlBhISVFyICIiIhIAzlOMAAa+8w6TBw2CFi1c+lU+eZIfgNvwbeqSSFEoORAREREJEPcE4dHx43n73nuhXTuXfpWBL00m4s4VVRMpKUoORERERALIPUH41yuv0OSvv1js1i/EMOCRR8BiUS0EKTFKDkREREQCzD1BSDl8mJ7AVG+dExPh4YchK8tP0Ul5ouRAREREJAjExcUR6TRtKAt4plYteP55z84ffAB33AEnTvgtPikflByIiIiIBAGr1Up6errLsfTDh7FWqwYTJ0KI22PbV1/BDTfAoUN+jFLKOiUHIiIiIgFmtVpd6hg4jyDEx8djPXYM5s6FihVdT1y9Gjp3hu3b872+KiuLr5QciIiIiASQe2KQlJREWlqayxqE+Ph4rH/8Ad9/zyn3BGHbttwEYe3aPK+vysriKyUHIiIiIgHiLTGw1zFwX6QcHx/PsOnTuer0aXa5X+jgQYiNhcWuexw5Xz8xMVEjCFIgJQciIiIiAZBfYmDnniBMmjSJZj160An41f2CJ05Az54wbVqe11dlZSmIyTC0Ua74JjU1lcaNGwOQkpJCo0aNAhyRiIhI6WSz2TCbzY7XBVU+dn/QHzp0KDMnTeJzoKuX/su6dyf2m298vr6InUYORERERPwsJiaGhIQEwLcHd+cRhISEBN59911GJyVxMzDDS/8u33zDO+Q+6CkxkMLQyIHkKTo62uV1ZmYmW7duBTRyICIiUhxsNluhpvq497darYyKj8cKPOul/5+XXUartWuhUqWiByvlgkYORERERAKksGsA3PvHxcXxalISzwFPADlu/Vtt3gzdukFaWpHilPJDIwfiM605EBERCU5RUVGkp6dzF/AxEOHe4ZJLYPFibCkpRRqpkLJPIwciIiIipZhzZeXZwE3AEfdOv//O8csv5zGzGavV6vN1VR+h/FFyICIiIlJKeausvByIAVLc+lbLyGA58G18fIEJguojlF9KDkRERERKofwqK28COgMb3c6pDiwC1ueTIKg+Qvmm5EBERESklPGlsnIquSMIy9zODSd3+9O/4+OxOhVYK+i6Uj4oORAREREpRQpTWfko0B2Y5eU6rwEVR41i3Kuv+nxdKfu0W5H4TLsViYiIBNb5VlY2Aa8DT3rpMxt4olYt9h0+7PN1pezSyIGIiIhIKXG+lZUN4MhLL8Frr3n0uQv45PBhap57rcSgfNPIgfhMIwciIiLBoUiVlWfOhEGDIDPTpc9G4N4aNdhw5EixxSmlj0YOREREREqZIlVW7t8fFi3iTIRrqbTLgUVHj/LBU08VQ4RSWik5EBERESlnrGvXcvWZM+x1O94I6Pvmm8x89NFAhCVBQMmBiIiISDliX6T8G9AJSKtd26W9JtB38mS+HDAgANFJoCk5EBERESkn3LcrHZ6URNTvv0Pnzi79IoCeM2fyfc+efo5QAk3JgYiIiEg5kGcdg8hI+P57uOMOl/4hQLeFC/mpSxfIyfFvsBIwSg5EREREyjibzZZ/gbNKlWDOHBg2zOPcq5cv52CPHnD2rD9ClQDTVqaSp+joaJfXmZmZbN26FdBWpiIiIqWNxWIhMTEx/zoGhgGvvgrPP+/Z1rUrfP45VK9esoFKQCk5kDwpORARESlbfK6PMHUqPPwwZGW5Hr/iCvj6a2jQoETik8BTciA+UxE0ERGRcmTxYrjzTjhxwvV4kya5bZdeGpi4pERpzYGIiIiIeOrRA5Ytgzp1XI/v3g3XXgsrVuR5qs1mc/mvrwrbX4qfkgMRERER8a5dO9665x62uh8/fBi6dYMvvvA4xWq1YjabiY2NxWw2Y7VafbqV/TyLxVLUqKUINK1IfKZpRSIiIuWLzWbDbDZzAbAQuNq9Q0gITJjg2OXIfbtUu3wXQXs5Lzk52be1EVLsNHIgIiIiIl7FxMSQlJTE38AN5CYILnJyYPhweP55rElJLg/4PXr0cHwfHx+f5wiCt/oLSgwCR8mBiIiIiOQpLi6OpKQkTgJ3AO976zR2LHVHjSLs3MukpCQWLVpEUlKSo4u3BCHPwmwSMGEFdxERERGR8sz+wB4fH88jwB7A4tZnEFAP2JKYyFPn+juf5/zfuLg4JQZBSmsOxGdacyAiIlK+OT/QDwEmAaHundq1g6++grp1vZ4HEBkZSXp6uuO1EoPgoWlFIiIiIuIT+xQjgP8CvYCT7p3WrYNOnWDrVq/nAUoMgphGDsRnGjkQERERgKioKMcDfkfga5OJKPdHygsugIUL4eqrvZ4HuSMIaWlp/ghZfKSRAxERERHxmdVqdXnAXw10MgyOREa6dvz7b7j++twEwct5kDuC4GsdBPEPJQciIiIi4hNvawcAtgIXp6ezv2FD1xNOnYJevVjUt6/X8yD/bU7F/5QciIiIiEiBvO0ulJaW5lhLcBBouWcPf7Vq5XpiTg43f/45L+VxHihBCCZKDkREREQkX/ltO+q82DgDuPjPP9lw1VUe10gEfu3QgbhnnvE4D5QgBAslByIiIiKSJ1/qETg/6GcBbX7+mU9btPC41hVr1sAdd8CJEx7ngRKEYKDdiiRP0dHRLq8zMzPZem5bMu1WJCIiUvbZbDbMZrPjdUHbjronEsOACXj5NLpjx9yFyrVrez3vnXfeYfjw4YWKMyYmxuf+kjeNHIiIiIiIVzExMSQkJAC+1SNwHgno0qUL7wJf3HcfVKzo2nH1aujcGf76y+t5I0aM8HkEwWq1YjabsVgsvr8xyZNGDsRnqnMgIiJSPhX2k3l7f8d5K1ZAz55w+LBrxzp14Ouvc6sqAxMnTmTEiBGO5sKOVCQnJ2sEoYg0ciAiIiIi+SrsA7e9v+O8a6/NTRCaNHHtePAgdOkCixcDMHz4cJ/XIHhbC6HEoOiUHIiIiIhIybv0Uli1Cq64wvX4iRO5owrTpgG+LVL2ZZG0nB8lByIiIiLiHw0awLJlcMMNrsezsmDQIBg7Fgwj3wRBiUHJ0poD8ZnWHIiIiEixOHs2Nxn45BPPtmHD4O23ITTUa0Xm9PR0x2slBsVPIwciIiIi4l/h4TB9Oowc6dn27rtw551w6pTHCIISg5KnkQM/yMjI4Oeff2b16tWsXr2aNWvWsHPnTgCaNm3q+D4/zZo1Y9euXYW6744dO2jWrFnhA86DRg5ERESk2L35Jjz9NLg/knbuDPPnQ1QUUVFRLolBZGQkaWlp/o2znAgLdADlQc+ePVm6dKlf71mjRg3q1avn13uKiIiIFNqTT+auRbj//tzpRnYrV0JMDO/26uWSGEDuCILVatXIQQlQcuAHzoMzkZGRtG/fnpUrV5KRkeHzNb799lvOOv8fxovvv/+ep556CoB+/fpR0b3giIiIiEgw6tcP6taFXr3g6NF/jv/+O71+/533gN9wXXNgX4ugBKF4KTnwg/79+/Poo4/SoUMHLrroIiB3mlBhkoNWrVoV2Off//634/sHHnig8IGKiIiIBEqXLmCzQY8esGeP43ADYDnw9ZAh3PP++y6LlJUgFD8lB37wyCOPlPg9jh49yvz58wFo0aKFioCIiIhI6XP55bBqFYc6dKD2gQOOw9WBe6ZNg9hYRyKgBKFkKDkoI2bNmsXp06cBjRqIiIhI6WWdOZOkAwf4Auji3JCZCffdB3v3Evfcc4AShJKgrUzLiI8++ggAk8nE/fffH+BoRERERArPZrMRHx/PEaA78Hvr1p6dnnsOnnqKuGef9SiUZrPZ/BVqmaXkoAzYsWMHK1asACAmJoYWLVoEOCIRERGRwouJiSEhIQGAxKQkLvnlF3j8cc+Ob70F99xD3BNPOBKEhIQETasuBppWVAZ89NFHjh2RijKlKDU1Nd/2ffv2nfe1RURERHxhsVjo1q3bPw/6b70FjRvnjhg4mz0bDhwg7osvuPbaa5UYFBMVQQsQe1EzX4ug5eeiiy5i+/btVKpUif3791O9evXzuo7JZPK5r4qgiYiIiF/NmAGDB+euPXAWHQ2LFuUmEFJkmlZUyq1cuZLt27cD0KtXr/NODERERESC2oAB8PXXUK2a6/FNm6BTJ9i4sdBrDrRGwZOSg3NMJlORv6ZOner3uO0LkQEGDhxYpGulpKTk+7V69eqihisiIiJy/rp1g+XLoV491+N79nC6fXueN5uxWq0+XcpqtWI2m7FYLMUfZymmNQel2JkzZ5g1axYA9evX58YbbyzS9TRNSERERILelVfCqlW5xdL++MNxuOKZM3wL3Bcfj5X8tzV1LqSWmJhInTp1GD58uM8h2Gy2MrvGQcnBOVu2bCnyNerXr18MkfhuwYIFHD58GMitwhwaGurX+4uIiIgERLNmsGIF3H47rFzpOBwBfAY8mU+C4JwYAHTt2pURI0Zw/Phxn+ok2M9PSEgok6MOWpAcIMWxIPn2229nwYIFAKxfv57W3vYCLkapqak0PrfYRwuSRUREJOBOnYL+/eGLLzyaxgHG2LHEjRrlOOaeGAwdOpRJkyY5XiclJfk84gCQnJxc5kYQtOaglDp06BCLFy8G4MorryzxxEBEREQk6FSqBHPmwLBhHk3PAY1Gj+a1V14BPB/sk5KSePfddz0KqeW1ZsHb+WUtMQBNKyq1PvnkEzLPbeVV1IXIIiIiIqVWaCi88w40agTPP+/SNAD4/oUXaPaf/7Dr3FRscB0hsP/X/uBv/6/zCIK3xMCXKUilkUYOSin7LkVhYWH0798/wNGIiIiIBJDJBKNHw5QpEOb62Xc34IvDh7GvDPX2YB8XF5fnCEJ5SgxAaw78Ytu2bR776I4cOZK0tDSioqIYP368S1uPHj2o575Fl5PNmzcTHR0NwG233eZYd1DStOZAREREgt7ixXDnnXDihMvhncA9NWrw45EjeZ7qnghERkaSnp7ueF3WEwPQtCK/sNlsDB482GtbWlqaR9uSJUvyTQ6caxs88MADxROkiIiISFnQowcsW8aJ2FiqZGQ4DjcDvjp6lOnDhnHfu+96PdV9ilF5SwxA04pKnZycHGbMmAFAzZo1uf322wMckYiIiEhwsX7/Pa0zMvjT7XgU0HfSJD7P58PVuLg4IiMjXY5FRkaWi8QAlBz4xaBBgzAMw+ev2NjYPK8VEhJCSkoKhmFw+PBhIiIi/PdGRERERIKcfWrQDuBaYO+5KdF2lYBeH3/MN71753m+84gB5I4g+Fp5ubRTciAiIiIiZYL7moGRSUk02LIFbrvNpV8o0P2LL1h5ww3gtPzW25oDu/y2OS1LlByIiIiISKmX565CVarAvHkwZIjHOZ2XLGFD+/aQmen1/LS0NJ/rIJQV2q1IfKbdikRERCQY2Ww2zGaz47XXxcOGAS+/DBaLx/mbGjfm6pQU7PsbuZ9fnrYz1ciBiIiIiJRqMTExJCQkAPk8uJtMkJAAkydDiOsjcHRKCkuBOnmcn18dhLJGIweSJ3stBbvMzEy2bt0KaORAREREgo/NZiMmJqbgjgsXQr9+cOqUy+EjkZHU/PFHaNnS62nuIwjJycm+3a8U0ciBiIiIiJQJPj+o33YbLFkCF1zgcrhmejp07gyrV3s9zXkEISEhocwlBqCRAykErTkQERGRMuXPP3OLpu3Y4Xq8cmX47DOPXY7sfB6hKIU0ciAiIiIi5VOrVrBqFVx1levxkyehVy/473+9nmZPDGw2W6FuV9j+gaDkQERERETKr7p1YelS6N7d9XhODjz8cO7uRl4m2lgsFsxms88Lk61WK2azGYuX3ZKCiaYVic80rUhERETKrMzM3FoIH33k2TZkCLz7LoSFAT5uneqkNC1k1siBiIiIiEiFCjB1Kowe7dn23/9C795wIrcSQkxMjM9bm3qrkRCsiQEoORARERERyWUywSuvwDvv5H7vbOFC6NoVDh0CfKt9UBqLpyk5EBERERFxNnw4zJ0LFSu6Hv/pJ7j2WvjrLyD/BKE0JgagNQdSCFpzICIiIuXKihXQsyccPux6vE4d+PpraNcO8EwEIiMjSU9Pd7wuLYkBaORARERERMS7a6/NTRCaNHE9fvAgdOkC33wDeI4glNbEADRyIIWgkQMREREpl/buhZtvhvXrXY+HhcEH/9/evQdFdd5/HP+sAiLgNXgBMVolFDVNmqBWKsSi0caAIWgT62RGQsjkWlozNk1iOjpN2koujrXpTKIN0ToZx1Y6MZGOP40JIV5ICUrbJCYGFDNySRWrscoiC57fH+yeglxkXZZzFt+vmZ05cM4+50s4edwPz3nOkyctXSpJuu6669oEg+HDh+v06dO9WanPGDkAAAAAuhIdLX34oZSS0vb7TU1SZqa0erVeyM1tEwyklhGE7q6DYBeEAwAAAOBKhgyRdu6Ulixpv2/FCkU884z5wXr48OHmrq4ec2pHhAMAAACgOwYMkN58U/r5z9vtelzSNkkvP/+8Tp8+3e11EOyGcAAAAAB0V79+0ksvSWvXyrhsLYSFkpbv3Cn95z/dWgfBjggHAAAAgJdeuHhRiw1DFy/fceBAy1OOvvoqIAMCTytCp6ZMmdLma5fLpfLyckk8rQgAAFy79u3bp+TkZEnSLEn/Fxqq0IaGtgdFRbXMUbj55nbrIOzdu1dJSUm9WHH3MXIAAAAAeCEpKUmrVq2SJM3PzVVoSYk0Zkzbg2prpddfl9R2HYRVq1bZNhhIjBzAC6xzAAAA8D/79u373wf9EyekO+6QDh9u+frOO6Xt26Xg4I6PtynCAbqNcAAAANCFM2ek9HSpoUEqLJTCw62uyGtBVhcAAAAA9AnDhkm7d0sXLgRkMJAIBwAAAEDPCQ1teQUoJiQDAAAAkEQ4AAAAAOBGOAAAAAAgiXAAAAAAwI1wAAAAAEAS4QAAAACAG+EAAAAAgCTCAQAAAAA3wgEAAAAASYQDAAAAAG6EAwAAAACSpCCrC4B9TZkypc3XLpfLokoAAADQGxg5AAAAACCJkQN04bPPPmvzdVVVlcaOHWtRNQAAAPA3Rg4AAAAASCIcAAAAAHAjHAAAAACQRDgAAAAA4MaEZHRbU1OTuV1bW2thJQAAAGht9OjRCgry/aM94QDddurUKXN7+vTpFlYCAACA1k6cOKGYmBif2+G2IgAAAACSJIdhGIbVRSAwNDQ0aNKkSZKkwsLCHhm66kptba05QlFSUqKoqCi/nk+SZs+eLUl6//33/X4uztezuF44nzd6+3rpy/8t+/r56Fs4nzesvF4OHz7MbUXoXaGhoQoLC5MkjR8/vlfPHRUV1SNDZVcSHBwsSb1yLs7nP1wvnM8bvXG99PX/ln39fB70LZzPG719vfTUH225rQgAAACAJMIBAAAAADfCAQAAAABJTEiGjVVVVWns2LGSeu7xXOi7uF7gDa4XdBfXCrzRF64XRg4AAAAASCIcAAAAAHAjHAAAAACQxJwDAAAAAG6MHAAAAACQRDgAAAAA4EY4AAAAACCJcAAAAADAjXAAAAAAQBLhAAAAAIAb4QAAAACAJMIBAAAAADfCAQAAAABJhAMAAAAAboQD2NJXX32l5cuXKz4+XuHh4Ro+fLimTZuml156SfX19VaXBxtwOBzdev3gBz+wulT42cmTJ1VQUKCVK1dq/vz5ioyMNH//999/v9ft7dy5UxkZGYqJidGAAQMUExOjjIwM7dy5s+eLR6/rietl06ZN3e6DNm3a5NefB/5TWlqq5557TvPmzTP7g4iICMXFxSkrK0v79u3zqr2A6VsMwGbeeecdY/DgwYakDl9xcXFGeXm51WXCYp1dH5e/Zs2aZXWp8LOufv+ZmZndbqe5udnIzs7usr0HH3zQaG5u9t8PA7/rietl48aN3e6DNm7c6NefB/6RnJzcrd/v0qVLjYsXL3bZVqD1LUE9kC+AHlNWVqbFixfL6XQqIiJCzzzzjFJSUuR0OrV161b98Y9/1JdffqnU1FSVlpZq0KBBVpcMiz366KN67LHHOt0fHh7ei9XAatdff73i4+O1e/dur9/77LPPKi8vT5J0yy236Be/+IUmTpyoo0eP6sUXX1RZWZlef/11jRgxQr/97W97unRYwJfrxWPXrl2Kjo7udH9MTMxVtw3r1NTUSJKio6N1zz33KDk5Wddff72am5tVXFysNWvWqLq6Wps3b5bL5dKWLVs6bSvg+har0wnQmiepBwUFGQcOHGi3/8UXXzRT9qpVq3q/QNgG1wE8Vq5caezYscP4+uuvDcMwjMrKSq//EnzkyBEjKCjIkGRMnTrVqK+vb7P/woULxtSpU83+idHLwNUT10vrkYPKykr/FQvLpKamGn/+85+NpqamDvefOnXKiIuLM6+DoqKiDo8LxL6FOQewjZKSEu3du1eSlJ2drcTExHbHLF++XJMmTZIkrVu3Ti6Xq1drBGA/v/rVr5SWlqZRo0ZddRu/+93v1NTUJEl65ZVXNHDgwDb7w8LC9Morr0iSmpqatHbt2qsvGJbqiesFfV9BQYHuvfde9e/fv8P9kZGRWrNmjfl1fn5+h8cFYt9COIBtbN++3dzOysrq8Jh+/fpp6dKlkqSzZ8+qsLCwN0oD0IcZhqG3335bkhQfH68ZM2Z0eNyMGTP07W9/W5L09ttvyzCMXqsRgP2kpKSY20ePHm23P1D7FsIBbMMz6z88PFwJCQmdHjdr1ixze//+/X6vC0DfVllZad5f3Lp/6Yhnf3V1tY4fP+7v0gDY2MWLF83tjkYYArVvIRzANj7//HNJUmxsrIKCOp8rHx8f3+49uHZt27ZNkydPVlhYmAYNGqQbbrhBmZmZjCqh2w4fPmxut+5fOkL/g8tlZWUpOjpaISEhioyM1IwZM/TLX/5S1dXVVpcGPysqKjK3Pbc8txaofQvhALbQ0NCguro6SVd+ssOwYcPMJ9CcOHHC77XB3g4fPqzPP/9cTqdT58+fV0VFhTZv3qzZs2crIyND33zzjdUlwuaqqqrM7Sv1P2PHjjW36X8gSR988IFqa2vlcrl0+vRp/f3vf9dvfvMbxcbGav369VaXBz+5dOmScnNzza/vvffedscEat/Co0xhC//973/N7YiIiCseHx4ergsXLuj8+fP+LAs2FhYWprvuuktz5sxRfHy8IiIidOrUKRUVFem1117T6dOntX37dqWnp+vdd99VcHCw1SXDprzpf1o/Gpf+59o2YcIELVy4UImJieYHu2PHjumvf/2r8vPz1dDQoEceeUQOh0MPPfSQxdWip61du1YlJSWSpIULF3Z4O3Sg9i2EA9hCQ0ODuR0SEnLF4wcMGCBJcjqdfqsJ9lZdXa2hQ4e2+/7cuXOVk5Oj+fPnq6ysTEVFRXr11Vf105/+tPeLREDwpv/x9D0S/c+1LCMjQ5mZmXI4HG2+P23aNC1evFgFBQVauHChXC6XnnjiCd11110aPXq0RdWipxUVFenpp5+WJI0cOVKvvvpqh8cFat/CbUWwhdDQUHO7sbHxisd7JgFd/kgwXDs6CgYeo0aNUn5+vjla4HlMHNARb/qf1hMQ6X+uXUOGDGkXDFpLS0vTypUrJUn19fXmAlgIfJ999pkyMjLU1NSk0NBQbdu2TSNHjuzw2EDtWwgHsIXWKx13ZzjtwoULkrp3CxKuTRMmTNDcuXMlSRUVFeYTI4DLedP/ePoeif4HXXvooYfMANF64ioCV2VlpebNm6czZ86of//+2rp1q2677bZOjw/UvoVwAFsIDQ3VddddJ6ntBJ6OnDlzxvyfqPUEHuBykydPNrd5cgg603qi4JX6n9YTBel/0JWRI0ea/67R/wS+mpoa3X777aqpqZHD4dAbb7yh9PT0Lt8TqH0L4QC24fkgV1FRYa4m2JEvvvjC3O7o0WGAR1fD/oBH6xDZun/pCP0PvEEf1DfU1dVp7ty5OnbsmKSWW1U9C7J2JVD7FsIBbCMpKUlSy9DawYMHOz2u9fDszJkz/V4XAlfrZ0xHR0dbWAns7Fvf+pZ5fVzp9o8PP/xQkjRmzBiNHz/e36UhgJ06dcp8RDf9T+D65ptv9MMf/tD89yQ3N1ePP/54t94bqH0L4QC2cffdd5vbGzdu7PCYS5cuafPmzZJaJqS2XrocaK2yslLvvvuuJGnixIkaM2aMxRXBrhwOh3l7wBdffKGPPvqow+M++ugj86976enp/FUYXdqwYYMMw5B05dVxYU/19fVKTU3VoUOHJEnPPvusnnrqqW6/P1D7FsIBbGP69OlKTk6WJOXl5am4uLjdMWvWrDFXDvzZz37Gs+uvUTt27Ojy1rN///vfWrRokfl0iMcee6y3SkOAWrZsmfr37y9JysnJafcoQafTqZycHElSUFCQli1b1tslwiaOHz+usrKyLo8pKCjQc889J6nlyTNZWVm9URp6UGNjozIyMrR//35JLZ85fv3rX3vdTiD2LaxzAFtZt26dZs6cKafTqXnz5mnFihVKSUmR0+nU1q1btWHDBklSXFycli9fbnG1sEpOTo5cLpcWLVqkxMREjR8/XgMHDlRdXZ0++OADrV+/3hzOT0pK6vYQMALTvn37VFFRYX7t+d1LLXOYNm3a1Ob4+++/v10bcXFxevLJJ5Wbm6vS0lLNnDlTTz31lCZOnKijR4/qhRdeMD8QPvnkk7rhhhv88rPA/3y9Xo4fP66UlBQlJiZqwYIFuvnmm81HWR47dkz5+fnKz883Rw1efvllRi4D0JIlS7R7925J0uzZs5Wdna1PP/200+NDQkIUFxfX7vsB2bcYgM288847xuDBgw1JHb7i4uKM8vJyq8uEhcaNG9fp9dH6tWjRIuPMmTNWlws/y8zM7Nb14Hl1prm52XjggQe6fG92drbR3Nzciz8depqv10thYWG33hcWFmasX7/egp8QPcGba0SSMW7cuE7bCrS+hZED2M6CBQv0r3/9S+vWrdPf/vY3VVVVKSQkRLGxsbrnnnv0k5/8RGFhYVaXCQv96U9/UlFRkYqLi3Xs2DHV1dXp3LlzioiI0NixY/X9739fmZmZSkxMtLpUBJB+/fopLy9PixYt0oYNG/Txxx+rrq5OkZGRmjZtmh5++GHNnz/f6jJhsYSEBL355psqLi5WaWmpamtrVVdXp6amJg0bNkxTpkzRnDlz9OCDD3a6OBauLYHWtzgMwz3uBQAAAOCaxoRkAAAAAJIIBwAAAADcCAcAAAAAJBEOAAAAALgRDgAAAABIIhwAAAAAcCMcAAAAAJBEOAAAAADgRjgAAAAAIIlwAAAAAMCNcAAAAABAEuEAAAAAgBvhAAAAAIAkwgEAAAAAN8IBAAAAAEmEAwAAAABuhAMAAAAAkggHAIBrVHV1tRwOhxwOh8rKyqwuBwBsgXAAALC9+vp6BQUFyeFwaPXq1T3SZkFBgSQpJiZGt9xyS4+0CQCBjnAAALC9gwcPqrm5WZI0bdq0Hmlzx44dkqS0tLQeaQ8A+gLCAQDA9kpKSiRJDodDU6dO9bm9+vp6vffee5KkBQsW+NweAPQVhAMAgO15wkFsbKyGDh3qc3t79uxRQ0ODwsLCNHv2bJ/bA4C+gnAAALCtESNGyOFw6C9/+Yskqby83JxE7Hndd999XrfrmW9w++23KzQ01Ov319TU6Omnn9att96qIUOGKDg4WKNGjdJ3vvMdLVmyRJs2bdK5c+e8bhcArBZkdQEAAHSkpqZGdXV1Vzzuxhtv9KpdwzDMcHA1txTt3btXaWlp7T78nzx5UidPntSnn36qrVu3KjIykvkMAAIO4QAAYEvDhg3TJ598oiNHjuhHP/qRJOn3v/+9UlJS2hwXExPjVbsHDx5UbW2tHA6HUlNTvXrvxYsX9eMf/1jnzp3ToEGD9OijjyolJUUjR45UY2OjKisrdeDAAb311ltetQsAdkE4AADY0sCBA3XjjTfqH//4h/m9O++8UxMnTvSpXc9TihISEhQVFeXVe/fv36+amhpJ0pYtW9qNDMyYMUNLlizR2rVrVV9f71OdAGAF5hwAAGzNEw4GDx6sCRMm+NyeL7cUff311+b2bbfd1ulxQUFBGjx4sPfFAYDFCAcAAFvzhIObbrpJDofDp7aqq6t16NAhSVcXDlqPNGzcuNGnWgDAjggHAABb++c//ylJPbKKsa+rIiclJZmjF8uWLdP06dO1evVq7d+/X42NjT7XBwBWIxwAAGyrurrafGLRd7/7XZ/b88w38HYiskdwcLB27NihSZMmSZI+/vhjrVixQklJSRo6dKjuuOMObdmyxVzNGQACDeEAAGBbrScj+xoOnE6n3n//fUm+rYo8efJkffLJJ3rrrbf0wAMPKDY21mx/165duu+++/S9731PJ0+e9KleALAC4QAAYFuecBAcHOz1egaX27Nnj5xOp8LCwjRnzhyf2urfv7/uvvtu5eXlqby8XDU1NXrjjTeUkJAgqeVxqQ8//LBP5wAAKxAOAAC25ZlvMGnSJIWEhPjUlueWoqtdFbkrUVFRysrKUnFxsW699VZJLfMbnE5nj54HAPyNcAAAsK0jR45IkuLj431qx9dVkbsrODhYs2bNkiQ1NTXp7NmzfjsXAPgD4QAAYFvnzp2TJLlcLp/a8WVV5Nb27t2rioqKTvc3NjaqqKhIkhQREaERI0Zc9bkAwAqskAwAsK0JEybo+PHjKigo0B/+8AclJiZqwIABkqRx48Zp0KBB3WrHM2pwNasit/bee+/p+eefV3JyslJTU3XTTTdpxIgRcjqd+vLLL/Xaa6+Z6yhkZ2crKIh/ZgEEFnotAIBtPfHEEyosLJTL5VJOTk6bfQcPHjTv778Sz3yDnril6NKlSyoqKjJHCDqSnp6u1atX+3wuAOhtDsMwDKuLAACgM7t27dKaNWtUWlqqs2fPyjAMBQcH6/z5892apFxdXa2YmBhJ0qFDh3xaTO38+fPavXu39uzZo7KyMtXU1JiPLB09erSmT5+upUuX+nTrEgBYiXAAAOjT1q9fr0ceeURjxoxRVVWV1eUAgK0xIRkA0Kd55hukpaVZXAkA2B9zDgAAfVpycrISEhKUkZFhdSkAYHvcVgQAAABAErcVAQAAAHAjHAAAAACQRDgAAAAA4EY4AAAAACCJcAAAAADAjXAAAAAAQBLhAAAAAIAb4QAAAACAJMIBAAAAADfCAQAAAABJhAMAAAAAboQDAAAAAJIIBwAAAADcCAcAAAAAJBEOAAAAALgRDgAAAABIIhwAAAAAcCMcAAAAAJBEOAAAAADgRjgAAAAAIIlwAAAAAMCNcAAAAABAkvT/9pehOBIX3/gAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 339, "width": 387 } }, "output_type": "display_data" } ], "source": [ "from scipy.stats import linregress\n", "\n", "# Use linregress to get a linear fit of np.log(conc_values) vs t\n", "result = linregress(time_values, np.log(conc_values))\n", "print('Fitted model:')\n", "print(f'k\\' = {-result.slope:.2f} s⁻¹ ± {result.stderr:.2f} s⁻¹')\n", "print(f'[dye]₀ = {np.exp(result.intercept):.2g} M ± {np.exp(result.intercept_stderr):.2f} M')\n", "print(f'R² = {result.rvalue ** 2:.4g}')\n", "\n", "# Plot experimental concentration vs time\n", "fig, ax = plt.subplots(figsize=(4, 3.5))\n", "ax.plot(\n", " time_values,\n", " np.log(conc_values),\n", " color='k',\n", " lw=0,\n", " marker='x',\n", " markersize=5,\n", " label='Experiment'\n", ")\n", "# and fitted model\n", "ax.plot(\n", " time_values,\n", " result.slope * time_values + result.intercept,\n", " color='r',\n", " label='1st order fit'\n", ")\n", "ax.set_xlabel('$t$ / s')\n", "ax.set_ylabel(r'$\\ln([\\mathrm{dye}])$')\n", "\n", "ax.minorticks_on()\n", "\n", "ax.spines[['top', 'right']].set_visible(False)\n", "\n", "ax.legend()\n", "\n", "fig.tight_layout()\n", "plt.savefig('conc_vs_time_fit.png', dpi=400)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6ddf79a9", "metadata": {}, "source": [ "This reproduces the experimental data quite well ($r^2 \\approx 1$) and we see a very small uncertainty in the fitted pseudo rate constant. Unfortunately, the initial dye concentration has a large uncertainty. Since we already know the initial dye concentration, we could instead attempt to fix this value to zero and repeat our fit.\n", "\n", "Unfortunately, `linregress` doesn't allow the intercept to be fixed, so we instead employ Scikit-Learn's `LinearRegression` class and shift the data such that $[\\mathrm{dye}]_0 = 10\\, \\mu \\mathrm{M}$ and $\\ln([\\mathrm{dye}]_0) = \\ln(10^{-5})$." ] }, { "cell_type": "code", "execution_count": 12, "id": "26a9ae73", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "k': 0.30 s⁻¹\n", "[dye]₀ = 1 M\n" ] } ], "source": [ "from sklearn.linear_model import LinearRegression\n", "import numpy as np\n", "\n", "# Fit with intercept forced to zero\n", "model = LinearRegression(fit_intercept=False).fit(time_values.reshape((-1, 1)), np.log(conc_values) - np.log(1E-5))\n", "print(f\"k': {-model.coef_[0]:.2f} s⁻¹\")\n", "print(f'[dye]₀ = {np.exp(model.intercept_):.2g} M')\n" ] }, { "cell_type": "markdown", "id": "7145ab86", "metadata": {}, "source": [ "This does not have a huge impact on the fitted rate constant, but is somewhat more rigorous." ] }, { "cell_type": "code", "execution_count": null, "id": "a457c456", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "fbase", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }