From 8f21cf63e9bdaa739da7b416679867c524741010 Mon Sep 17 00:00:00 2001 From: Vieira Neto Date: Fri, 25 Nov 2022 03:31:59 +0000 Subject: [PATCH 1/2] Add fft input generation --- algorithms/python/fft.py | 30 ++++++++++++++++++++++++++++++ algorithms/python/requirements.txt | 14 ++++++++++++++ 2 files changed, 44 insertions(+) create mode 100644 algorithms/python/fft.py create mode 100644 algorithms/python/requirements.txt diff --git a/algorithms/python/fft.py b/algorithms/python/fft.py new file mode 100644 index 0000000..43f3f5b --- /dev/null +++ b/algorithms/python/fft.py @@ -0,0 +1,30 @@ +import matplotlib.pylab as plt +import numpy as np +from random import uniform + + +# sampling rate +sr = 500.0 +# sampling interval +ts = 1.0/sr +t = np.arange(0,1,ts) + + +def randomSine(): + # frequency of the signal + freq = uniform(1, 10) + return np.sin(2*np.pi*freq*t) + + + +N = 4 +input = [randomSine() for i in range(N)] + +for i in range(N): + sine = input[i] + plt.plot(t, sine, label = f'sin {i}') +plt.xlabel('Angle [rad]') +plt.ylabel('sin(x)') +plt.axis('tight') +plt.legend() +plt.show() diff --git a/algorithms/python/requirements.txt b/algorithms/python/requirements.txt new file mode 100644 index 0000000..d23666c --- /dev/null +++ b/algorithms/python/requirements.txt @@ -0,0 +1,14 @@ +autopep8==2.0.0 +contourpy==1.0.6 +cycler==0.11.0 +fonttools==4.38.0 +kiwisolver==1.4.4 +matplotlib==3.6.2 +numpy==1.23.5 +packaging==21.3 +Pillow==9.3.0 +pycodestyle==2.10.0 +pyparsing==3.0.9 +python-dateutil==2.8.2 +six==1.16.0 +tomli==2.0.1 From eb92b904045af6a103c7c2b9027928c6aee3abfd Mon Sep 17 00:00:00 2001 From: Vieira Neto Date: Sun, 27 Nov 2022 01:25:19 +0000 Subject: [PATCH 2/2] add python fft function --- algorithms/python/fft.ipynb | 1 + algorithms/python/fft.py | 87 ++++++++++++++++++++++++------ algorithms/python/requirements.txt | 71 ++++++++++++++++++++++++ 3 files changed, 143 insertions(+), 16 deletions(-) create mode 100644 algorithms/python/fft.ipynb diff --git a/algorithms/python/fft.ipynb b/algorithms/python/fft.ipynb new file mode 100644 index 0000000..d01ff40 --- /dev/null +++ b/algorithms/python/fft.ipynb @@ -0,0 +1 @@ +{"cells":[{"cell_type":"code","execution_count":396,"metadata":{},"outputs":[],"source":["import matplotlib.pylab as plt\n","import numpy as np\n","from random import uniform\n","from functools import reduce"]},{"cell_type":"code","execution_count":397,"metadata":{},"outputs":[],"source":["# sampling rate (must be of base 2)\n","sr = 1024\n","# sampling interval\n","ts = 1/sr\n","t = np.arange(-0.5, 0.5, ts)"]},{"cell_type":"code","execution_count":398,"metadata":{},"outputs":[],"source":["old_freqs = []\n","def randomSine():\n"," # frequency of the signal\n"," freq = uniform(1, 500)\n"," randPhase = uniform(0,1)\n"," \n"," # prevent from picking the same frequencies\n"," while freq in old_freqs:\n"," freq = uniform(1, 100)\n"," old_freqs.append(freq)\n"," \n"," t = np.arange(randPhase, randPhase+1, ts)\n"," return np.sin(2*np.pi*freq*t)"]},{"cell_type":"code","execution_count":399,"metadata":{},"outputs":[],"source":["def sum_curves(curves: list[list]):\n"," summed = []\n"," for i in range(sr):\n"," sm = 0\n"," for curve in curves:\n"," sm += curve[i]\n"," summed.append(sm)\n"," return summed"]},{"cell_type":"code","execution_count":400,"metadata":{},"outputs":[],"source":["# number of peaks you want to see in fft\n","# number of different frequencies on the curve\n","N = 20\n","# Generate a radom curve with different frequencies\n","input = sum_curves([randomSine() for _ in range(N)])"]},{"cell_type":"code","execution_count":401,"metadata":{},"outputs":[],"source":["complexJ = 0 + 1j\n","def ditff2(x: list) -> list:\n"," n = len(x)\n"," if n == 1:\n"," return x\n"," wn = np.e ** ((2*np.pi*complexJ)/n)\n"," w = 1\n"," half = int(n/2)\n"," halfLeft = [even for (index, even) in enumerate(x[:-1]) if index % 2 == 0]\n"," halfRight = [odd for (index, odd) in enumerate(x) if not index % 2 == 0]\n","\n"," yk_0 = ditff2(halfLeft)\n"," yk_1 = ditff2(halfRight)\n"," y = [None] * n\n"," for i in range(half):\n"," y[i] = yk_0[i] + w * yk_1[i]\n"," y[i+half] = yk_0[i] - w * yk_1[i]\n"," w = w*wn\n"," return y"]},{"cell_type":"code","execution_count":402,"metadata":{},"outputs":[],"source":["fft = ditff2(input)"]},{"cell_type":"code","execution_count":403,"metadata":{},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAmcAAAGdCAYAAABXU9TzAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8o6BhiAAAACXBIWXMAAA9hAAAPYQGoP6dpAADWeUlEQVR4nOydd5gURfrHvzObF3aXvEsOigQBSYKgoiAnZlHEBGJAPO/AhBEDcuJPzOEUc8CEenoKih4noqAnQaISJOewS97Ippn+/dETqrqru6s6zMzu1ud59tmZnu6q6u7qqrffVD5FURRIJBKJRCKRSBICf7wbIJFIJBKJRCKJIoUziUQikUgkkgRCCmcSiUQikUgkCYQUziQSiUQikUgSCCmcSSQSiUQikSQQUjiTSCQSiUQiSSCkcCaRSCQSiUSSQEjhTCKRSCQSiSSBSI53A+JBdXU1Vq1ahdzcXPj9Uj6VSCQSiaQmEAwGUVBQgF69eiE5ufaKMLX3zExYtWoV+vXrF+9mSCQSiUQiscFvv/2GU089Nd7N8Iw6KZzl5uYCUG9u8+bN49waiUQikUgkPOzfvx/9+vWLzOO1lTopnIVNmc2bN0erVq3i3BqJRCKRSCQi1HaXpNp9dhKJRCKRSCQ1DCmcSSQSiUQikSQQUjiTSCQSiUQiSSCkcCaRSCQSiUSSQEjhTCKRSCQSiSSBkMKZRCKRSCQSSQIhhTOJRCKRSCSSBEIKZxKJRCKRSCQJhBTOJBKJRCKRSBIIKZxJJBKJRCKRJBBSOJNIJBKJRCJJIKRwJpFIJBKJRJJASOFMAgD4atUeLNx0MN7NkEgksWbBAuCdd+LdCgmDyuog3v5lGzbmF8e7KZIYI4UzCXYcKsVdn/2O69/9Ld5NkUgksWbwYODmm4GlS+PdEomGd3/djse//RPDXvw53k2pNTz55JPw+Xy48847I9vKy8sxfvx4NG7cGPXr18eIESNQUFBAHbdr1y5ceOGFyMzMRLNmzXDvvfeiurras3ZK4UyCgqLyeDdBIpHEmx074t0CiYY1ewrj3YRaxbJly/DGG2+gR48e1Pa77roL33zzDT7//HMsXLgQ+/btw+WXXx75PRAI4MILL0RlZSUWLVqE999/HzNmzMDkyZM9a6unwtnPP/+Miy++GC1atIDP58OsWbOo3xVFweTJk9G8eXNkZGRg6NCh2Lx5s2W506dPR7t27ZCeno7+/fvjt9+kxscJQSXeLZBIJBKJDl+8G1B7KCkpwahRo/DWW2+hYcOGke2FhYV455138Pzzz2PIkCHo06cP3nvvPSxatAhLliwBAHz//fdYv349PvroI/Ts2RPnn38+pk6diunTp6OystKT9noqnJWWluKUU07B9OnTmb8//fTT+Oc//4nXX38dS5cuRb169TBs2DCUlxtrcj777DNMnDgRjz76KFauXIlTTjkFw4YNw4EDB7w6DYlEIpFIYo6Uzdxj/PjxuPDCCzF06FBq+4oVK1BVVUVt79y5M9q0aYPFixcDABYvXozu3bsjNzc3ss+wYcNQVFSEdevWedLeZE9KDXH++efj/PPPZ/6mKApefPFFPPzww7j00ksBAB988AFyc3Mxa9YsXH311czjnn/+eYwbNw433ngjAOD111/Ht99+i3fffRcPPPCANydSy1EgVWcSiUSSaPh9Ujwzori4GEVFRZHvaWlpSEtLY+776aefYuXKlVi2bJnut/z8fKSmpqJBgwbU9tzcXOTn50f2IQWz8O/h37wgbj5n27dvR35+PiWt5uTkoH///hFpVUtlZSVWrFhBHeP3+zF06FDDYwCgoqICRUVFkb/iYhn5QiFlM4lEIkk4pGxmTNeuXZGTkxP5mzZtGnO/3bt344477sDHH3+M9PT0GLfSPnETzsLSJksaNZJEDx06hEAgIHQMAEybNo26iV27dnXY+tqFlM0kEomUBCQ1ifXr16OwsDDyN2nSJOZ+K1aswIEDB9C7d28kJycjOTkZCxcuxD//+U8kJycjNzcXlZWVOHbsGHVcQUEB8vLyAAB5eXm66M3w9/A+blMnojUnTZpE3cT169fHu0kJhSKlM4lEIkk4pFnTmKysLGRnZ0f+jEya55xzDtasWYPVq1dH/vr27YtRo0ZFPqekpGD+/PmRYzZu3Ihdu3ZhwIABAIABAwZgzZo1lG/7vHnzkJ2d7Zmyx1OfMzPC0mZBQQGaN28e2V5QUICePXsyj2nSpAmSkpKYEqyZ9Kq1RZN2aon0OZNIJJJERIpmzsnKykK3bt2obfXq1UPjxo0j28eOHYuJEyeiUaNGyM7Oxm233YYBAwbgtNNOAwCce+656Nq1K6677jo8/fTTyM/Px8MPP4zx48cbCoVOiZvmrH379sjLy6Ok1aKiIixdujQirWpJTU1Fnz59qGOCwSDmz59veIzEGqk5k0gkkgRESmcx4YUXXsBFF12EESNGYNCgQcjLy8OXX34Z+T0pKQlz5sxBUlISBgwYgNGjR2PMmDF47LHHPGuTp5qzkpISbNmyJfJ9+/btWL16NRo1aoQ2bdrgzjvvxOOPP46OHTuiffv2eOSRR9CiRQsMHz48csw555yDyy67DBMmTAAATJw4Eddffz369u2Lfv364cUXX0RpaWkkelMijpTNJBKJJPHwSenMExYsWEB9T09Px/Tp0w3TfgFA27Zt8d1333ncsiieCmfLly/H4MGDI98nTpwIALj++usxY8YM3HfffSgtLcUtt9yCY8eO4YwzzsDcuXOpiIqtW7fi0KFDke9XXXUVDh48iMmTJyM/Px89e/bE3LlzdUECEn4UqTqTSCSShEO6nNVdPBXOzj77bNOJ3+fz4bHHHjNVDe5gLCkyYcKEiCZNIpFIJC4gJYGEQ96RukudiNaUmCP1ZhKJRJJ4yGjNuosUziTSrBkjZvy6HV+s2BPvZkgkrlBSUY0nvvsTv+8+Fu+m1FqkbFZ3kcKZhEIKat6w79hxTPlmPe75/Pd4N0UiYSMoCTz734148+dtuHT6rx41SCKpu0jhTCJTacSA4vLqeDdBInGVTQVyGTyv8UnVWZ1FCmcSSjiTgpo3kIl+pXZSUhuQcoP3yGtcd5HCmYQKCJBigzfESx5bs6cQ172zFOv2FcanAZKY8PYv2zB+5koEgrHraDIHl/fIK1x3kcKZRGpyYkwsL/flr/2KXzYfwtVvLIldpZKY8/i3f+LbP/bj+3X5MatTanW8R17juosUziS05kxAcjheGcC/V+zB4ZIK9xtVy4iX/FsVUCsurpA+b3WBsspAvJsgMWDlrqP4dcsh6x0JpHay7iKFMwntcyZw3BPf/Ym7P/8d17wltTJWUD5ncWyHpHbjSNMi1TSecvmrizDq7aU4WMz/MuuXt6TOIoUzCeyKC9+t2Q8A2FRQ4mZjaiXSciypbchIQnscErA0yGtcd5HCmcR2tKaUN+whffwkXhHLuVyKDfaQj7+EBymcSSgUAZFLChl1mz/3F2HLAak15SUYVPDrlkMoLKuKd1MkcURkjJWKs7qLFM4kUgMWA+z69SUqxeVVOP+lXzD0+YUIxjB9Q03m4992YdTbSzH8Ve8y6sfSgVwKDvzYfZGVAQF1FymcSRBUyASp/MfJKZkfkbflmgDp1ByQGlQuvvl9HwBg+6FSz+qQZs3ER+RxkQJw3UUKZxLbyDnZHrXhupGnIOcPPhL+OglKAtJZnR+7z7yM1qy7SOFMYnvgkD5n/NS2S1XbzicWSFlGAohqzmSnqatI4UyiSUIbt2bUamrzZa3N5+YmsfAfiuVkLrU6/MhnRCKKFM4klAZMKFrTi8bUUuxe48SlNpxDbKl9SpBad0IxQUZrSniQwpnEPnJ+5qa2XSq7ufHqMrGYaOVcnpgoNoOuZLRm3UUKZxKZhDbG1AZhphacQq0kptGaUm6whcizI69x3UUKZ5JaYmZLbGqDQEZC522rZSfnETHxOXNSh2i0pv2arCkvBz77DDh82MtaYobdJ0TKZnUXKZxJbCdIldGaItSuayUFMnFqmxbE0/N58EHg6quBwYM9rCQ+iIybta3PSPiRwplEY9aUAQFeUJvl2Np8bjUN4ck8UW/eZ5+p/9esiW87XMLuC7D0Oau7SOFMYlvIStRxPdGpDdetNpxDbUR4KidvpLBZUwoOdhB5dsh0JdJSUbeQwplEk+ZB4gW17brKeUKc2pZQ1NPTqWXXyrYbAHEd5BK2dQspnElsJ6GVfkf81DYH+tpwDrEmFuJGLM2aUjizi4DPGfE5KN+I6hRSOJPYVuvIsYKf2maSqBV5ziZNAu65J2bVxUbeEKwkUW9eLRPO7D4vPsqs6V57JImPFM4ktBbEyzxnigLceCMwebLokbUKOcgmACUlwJNPAs89Bxw4EJMqE1Jz5qSu2u5z9vTTQP/+QHGxq8XaDQiQmrO6hRTOJBSemqtWrgRmzACmTvWujgSlNg+rNdLEWV0d/VxVFZMqvfI5c6SVTdQJPxE0Z/ffD/z2G/DKK3Frgl9qzuosUjiT2H/oRY8rL7dZUc3Hbih9olKrJopEEAQcQAVcOjpY8Oiafdn4cXncsmvWlJqzuoUUziRUFJCnAQFOJsF161TNWzw4fhwYNSqae8kGNVK7ZAJ5PjV+zojRCQj1/q++AjZu5No1Xpe/rshmbmA3l6TPJ82adZW4C2ft2rWDz+fT/Y0fP565/4wZM3T7pqenx7jVtRexFQI8awZNMAh06wb06QMUFsaoUoKXXwZmzlQzlrtAbQgOqPGnEAdtGXeV8+YBl18OdO7MtTvZn4RNp46iNT28hjVcm2lGrAwVkppNcrwbsGzZMgQCgcj3tWvX4i9/+QtGjhxpeEx2djY2Em+VtS1/UKxJeK0O0T9w4ACQkxPb+gsKnJeR4JfYCbX41FyGc5z67TehUoNumTUTiVo2ptsdY6lozaBLjZHUCOIunDVt2pT6/uSTT+KEE07AWWedZXiMz+dDXl6e102rMyT88k3xnkBcqF8x+FxTqQ3nEGu8kjfIiT+20ZpeFp5AwpnL44+Qz5mM1qyzxN2sSVJZWYmPPvoIN910k6k2rKSkBG3btkXr1q1x6aWXYt26dablVlRUoKioKPJX7HJodE3HruAQM/NcLRiUasEpUFCrStTEk4tDm70SNxydSqImoa1l2E1CLQMC6i4JJZzNmjULx44dww033GC4T6dOnfDuu+9i9uzZ+OijjxAMBjFw4EDs2bPH8Jhp06YhJycn8te1a1cPWl9zsTu5Ss1ZQhQXF2r8KdSGm8DA0QoBwmtrSmwhpDmzdZikFpBQwtk777yD888/Hy1atDDcZ8CAARgzZgx69uyJs846C19++SWaNm2KN954w/CYSZMmobCwMPK3fv16L5pfYwkGSS2IhxXZfdUO1nxni4T36xOkxqcGIftUjFRAnpk1a+QNsKCWqeXcCAKQmrO6Rdx9zsLs3LkTP/zwA7788kuh41JSUtCrVy9s2bLFcJ+0tDSkpaVFvhcVFdluZ22ENmsK+JyJjhV2B9x4D0ouTBQKfZFrATX8JOJi1vRG4CAnbeE6EjVasxZjW1Cr4Y+cRIyE0Zy99957aNasGS688EKh4wKBANasWYPmzZt71LLaTzDRH/p4j0raDPKKAvz8M3DoEHcRrp1BMAgsXw5UVLhVomPifXtsEQ/hzLOAALISb+pgUWcCAlxGRANG7io1Z3WLhBDOgsEg3nvvPVx//fVITqaVeWPGjMGkSZMi3x977DF8//332LZtG1auXInRo0dj586duPnmm2Pd7FqDEg8blchAEwcTVITSUv3yLbNnA2edBXTsaKtIRybOZ54BTj0VuPJK+2W4QI2fJ2rFyu0qVJ4z8YPtV1x75SfXse/XGz0u4V+iJa6SEGbNH374Abt27cJNN92k+23Xrl3w+6My5NGjRzFu3Djk5+ejYcOG6NOnDxYtWiSd/B0QF/8hReEXtOI5kc6bp9/29dfq/2PHuItxLaLx+efpNsQJxfBLDSEOfSommjPhgxP05tVizZndS14jo6IltkkI4ezcc8817HgLFiygvr/wwgt44YUXYtCqukPMnNWpjIoi60TFcVByKRjBtTNIkEmrxs8T8RDOPFI10QGXsesffrlCADf20xWxP0tqPwlh1pTEF7tra8aMeJo13YoUTfRrLAiV56wmqs7I+xqrG+JZojMHVTgJCLB9ZN3GrgZM+pzVLaRwJqEe+phNtDVFc8aq20Z7aqQAY0KNP5u4aM68gYrWjGGeM09JpLa4gBtdTPqc1S2kcCaJj+xjNyAg1rDqdnjBatsYWyNf6KkwuNj0L69MjuTl98p0yqKWyU8xw+4qLFJzVreQwplEsxSPhxW5kecs1gOUW5ozt5qdIDNijZ8napEzjyNHcUdmTelzxo1Np7Na1E0lgkjhTBK/aE07+8Z6hHIrIIA6BSfpCxJj0iLNtDVyzqhFZk1Kc+bUrFleDrz+OrBjh+WhXHXt3Ancfz9gsrxeXcOui4OM1qxbJES0piS+xMWXwa5ZM9YmzkSL1kwUavoJ1aZUGm42f9o04LHHgLQ0VVBzyrnnAps2Af/9L7B6Nf9x2sjuBHkpsYttgYz4LH3O6hZScyahAwK8nKjcSKWhKMCRI8CTTwK7d7vXNp66zbZZFhMfTVMscmvVyDf6WqU5c+CWoD3gp5/U/xwrUHD1rU2b1P+//y7WLrLwJk3EBDu3cbl/2B36pM9Z3UIKZxLNRBu3ZhijTXtw443ApEnAoEGxrdsB8bqsngkEidhPRIhDKg3PAgKcNF97cEqKwMEx0mYdOQLU8BVg3HgXkMJZ3UIKZxJ3NR+KAuzdy7efSJlhgkHg++/Vzxx+MY5xzefMpaCLBDHvSJ8zcWIhKDtO2SIgnHnaFbWF+zmnqrVrgddeAwIB79riEKFoTSdaUUmNRgpnEvqhd+q4e/fdQKtWqlMxd6UWaCfSWI5SLqXSiNfAmpDamkQgEcPgbAoUjgQy7bmnptovy0t4hbPu3YG//x1491336nahf7jRwxKlm0pigxTOJLS63KmpMLy01j336H+z63MWj2zuZvXZSkJLfo7dOcQi8WmNnDTiIZyZ3YxJk4BGjYBt24SLdXQq2mhNEc2ZYFWWlJQAhw4ZVCZY2/LlztvjESKWCle1opIahRTOJLbXfYsZcUgY6nZ9tS7PWbwb4JREW1vzySeBoiJg6lThcl1tfTw1Z1lZQNOmQGGhfbOmF7jwzNkNCJLRmnUXKZxJaC2IW5O/1YQXD7PmihXA4cNix7ikOQvSr8D2Ebw/nslyNf2NPlFTaSQlCd80R5HA2usgIJx51rdWrgT+/JPeJiqcudk4L6I1AwFg8WKuqNjocTXwOZPYRgpnkpq1fJPdxv76K9C3L9C6tdhxNT5a05sZtMZHjsXTVG5GUpJwe+IVrenZCgFDhuifu3hqzlxA0X57/HFg4EDg6qstDoweKTVndYua3eMlrkC/eSfgkixuaM7mzlX/Hz8udpxgQEBFdQAb84t1b7nxynPm1e2kTq8mThqJGq2ZLJ4XnDqVsjLh46mCXIrWLK8KYMuBYvttEamshqEoAJ5/Xv0ya5b5vibfJLUbKZxJqDeymJk1H38cuPRSoLrauiztCgF2JtOkJPFjAOG6bnxvGYa9+DO+WsWRTqQGU+OniTj4MXI9WnaEM/JuXH458P77Agc7yXNmzPDpv2Lo8z/jpw597LVDS03XnLng1ZBICl6J99TsHi9xhbg89E8/DXz9NTBnjvW+bmg57ApngpqzRVtVn7YPFu80PCSW1zsm0Zoe1eEpiRYQEMaqn1ZV6TYp2perG27gb5SZz5lFag+zs9mQr2rNvjp5MF87rATkGi6ckYi4BNArBHjQGEnCUnt6vMQ2nky0rAGIpTrgMTO6MZHa0EgAsJ3nTGvWdM1HK0HMOzX+LT5RAwLM+umsWarwFNaMVVQA8+dDqax0o3kqpHBm4azOk0PPz3tt3RbOEuQ5CWM3mSx9XE1/6CQiSOFMQvtDJdigBiC+Zk2bJi/tW2688hV5dztlnjNRuKM1jbjsMvV/WDP2178CQ4dCefRRshaxRmmvA2nWFIgkNMLHe22tEvCKduREHMdCKICt9knNmT2mTZuGU089FVlZWWjWrBmGDx+OjRs3UvuUl5dj/PjxaNy4MerXr48RI0agoKCA2mfXrl248MILkZmZiWbNmuHee+9FNY9bjk2kcCbxRlRwe0kop+XGyOcsjFZT5trVEE2l4Vm0pifFxo5EXCEAUDVnvPc4pEELfvmV/fq0504+Jy6keeAWzmq7WZPqbvxBTTIJrXMWLlyI8ePHY8mSJZg3bx6qqqpw7rnnorS0NLLPXXfdhW+++Qaff/45Fi5ciH379uHyyy+P/B4IBHDhhReisrISixYtwvvvv48ZM2Zg8uTJnrXbpq1HUpugzZoJ+MbpRtqDGPmcRQ7Tac7io2nySoHg2qRRXW3f5OyEuKTS4LgZycni7SEX3hA7kkYrNJSXm1erWfCD1df84NQ813bhjEDMrGly3LFjwOrV6qoutej6uM3ccKR+iBkzZqBZs2ZYsWIFBg0ahMLCQrzzzjuYOXMmhgwZAgB477330KVLFyxZsgSnnXYavv/+e6xfvx4//PADcnNz0bNnT0ydOhX3338/pkyZglQPkjfLOyqhH/pYLmbMixuRdTHWnFGahPx8KFZrjfKSIOYaV97iN29Ws8Lfd5/zskSpiWZNAxy9UGnPnXy+GMEHJKRW1ugKxs3nLMGgM88YSLJWZWgvZd++wODBwHvvmR9YXi6eQqgWU1hYCABo1KgRAGDFihWoqqrC0KFDI/t07twZbdq0weLFiwEAixcvRvfu3ZGbmxvZZ9iwYSgqKsK6des8aWfN7vESV/DEROWlWdNO2TEPCCC+3HorlGXLxOpVFGDyZOCLL8SO0+BdtGb0s+1bPWWKOnE884wbTRIjUfOc2RHOnAjs2uug9e80gdacsa9hrQgI8GKFABv76l6Itm5V/3/2mXEBwSDQuDFQv76lsC3Enj3AokXulWeD4uJiFBUVRf4qOMzwwWAQd955J04//XR069YNAJCfn4/U1FQ0aNCA2jc3Nxf5+fmRfUjBLPx7+DcvkMJZXWLfPnWy1zjfxiwJLQuekSpeZs0tW9QFqbVwmTWJfbZto64r1xnMm6euszhyJM/eMafGR47ZFc42bQJatgT++U/hKrmjNUWXbyL7llOhhHzWBFJpGF1B6XOmYre7kQKZrZfokhKgrEy9vvv22SjAgNatgdNPj+sC8127dkVOTk7kb9q0aZbHjB8/HmvXrsWnn34agxY6o2b3eIkYJ52kTvavvkpt1uVJcgOvNGd2zZrk4M7bthEj7NUFzWSlKOLX1aWBlCfdgVNqpJhG9oHSUjXvniaCi8nNN6v35o47hKs0DM4g22LD58yxn5nRdyvhjDgdo1QxtUI4c/kZsptWx/CFiLd9XowF//uf+2Vysn79ehQWFkb+JrFepAkmTJiAOXPm4KeffkKrVq0i2/Py8lBZWYljx45R+xcUFCAvLy+yjzZ6M/w9vI/bSOGsLhGOTvnPf6jNMVsnMZ7LN5GaM6uw/TDbtum3XXstl4CovaZBUrshqi0kEY7W9AZX+kw8/efI9l94IXD//UDnztbH7dnjflvIe21Dwxv0RYdxYc23I7Mm2afZ+/iVGhgQUFYG/PBD9LsLfZ3KVyZ2oHUzzNrn9dgeRw16VlYWsrOzI39paWnM/RRFwYQJE/DVV1/hxx9/RPv27anf+/Tpg5SUFMyfPz+ybePGjdi1axcGDBgAABgwYADWrFmDAwcORPaZN28esrOz0bVrVw/OTkZrJgSbC4qxcNNBXDegLdKSbTquO4B2Vk1AzZnbZs2qKj4fNNaE8MknQPPmlodSzbSjOXNJOIvF2pq2TZzxNI2S19ciKpFC8/YsguGtI3Ml2TFrunmPBcyaPPh4RREr4SyWgvy11wKzZ3tXvgLu89EFEjjB5jXcerAEP204gNGntUV6imZ+itHSZ04YP348Zs6cidmzZyMrKyviI5aTk4OMjAzk5ORg7NixmDhxIho1aoTs7GzcdtttGDBgAE477TQAwLnnnouuXbviuuuuw9NPP438/Hw8/PDDGD9+vKFQ6BSpOUsA/vLCz3j82z/x9i/b1Q3HjqkJJ7/80psKTbLXJ6SJyg2zJimMaRMH7tql+hCVlNDbjd7WeRxPTfKcRX7aulVdAJnItxPBhYnRS2q6y5ntE3CwsDjlo0XWrxXOhM2apM+ZYKOcaM4MiiGpkQEBWsHMBcFQ59hvdF2CQTV/3aZNpmXYqtgm5zy3EI9/+yem/7TFk/K95rXXXkNhYSHOPvtsNG/ePPL3GRFI8cILL+Ciiy7CiBEjMGjQIOTl5eFLYv5NSkrCnDlzkJSUhAEDBmD06NEYM2YMHnvsMc/aLTVnCcSqXUfVD48+qi7VMmtWbDp/rJ4v1rnwDHxazZlTs6ZWOOvTBzh0CFi7Fnjzzeh2owmBo81B7aTHOqZrV6CyEti5E3jpJU0B4kKooiioDipISYq2OyZra9rtP4li1owRWjNg5CsZRWcncMXkOlYFglR/0GGWSsMyaz9xWG32OXO5r5g69n/4YXQFCEWhhHjHUfUOn7eV4fmJpAYIZzya/fT0dEyfPh3Tp0833Kdt27b47rvv3GyaKVJzlkBE+pAD04kdqIk20QMC3DBraoWzQ4fU//Pm0dsdCGe6Oc/HKCu8JuLPP1sXwMGdn63GyY/+FweKzc103/6xH1e8tgj7jtnPfZT4Q7IFcZ5UqNoFzZpfnjwYV76+GIcyc3RlkVq0D5fsRMeH/oOfNhwAF1rNmWW0Jk+eM86XDCtBsKZHa5Kfzcyav/5qXIadPksekyA5EiV81OweL7GHzqxJ/ORlKg03fJPcKIM334/RhMBh2tIFwZntzNKWGE1WJgPs7NX7UFkdxOfL9xC76/cfP3Mllu88ikdmrTVrlTk1XTqLt3BmZNbkmEAnXnQ3fttxBM8OGqOWZXBM+P6On7nSrCHG3820Wbt2UYlNPc9zVosECxHfMep2xMmsGdfy6zBxF86mTJkCn89H/XW2iJr6/PPP0blzZ6Snp6N79+4xVTW6SXUgiN+2H9H/EOOByJPHy6uAALs+Z0aTIYn2ujsQznQ+Z2aRbax6XHK0NetKR8sqbZcbswhfr3Cr/c8+qy6fo/VXZECnniB+IPujkdl+1SrdppLUDLUsMlqTccNN75WZz1lhoZp65/PP6WMOHgTatoWPMMUb1eBaQED4GQkEVD9Nq6TOCSbMcZsnTXxVHY/UDq/J/sJybMwvpjfW9HEggYm7cAYAJ598Mvbv3x/5+59J7pRFixbhmmuuwdixY7Fq1SoMHz4cw4cPx9q1DrQAceKpuRtw5RuLI99j1s3NAgJ8+t+9qtfWcW6UYSScact2YErRRWtSCyBqJiKXhTNyDDYbjgMObjMzwKEm4VaU2b33Ar/8ArzyiuWulBnwtNOA225Tv5CaXKOLeeutuk1hk6HV5Re6P+R1eeIJNWn1lVfS+/zxBwBa8DKyXroeEPDBB8DddwP9+vGVm4jYTH0Rr4CAMNsOlmLYiz+joIhwm6iRD3/NICGEs+TkZOTl5UX+mjRpYrjvSy+9hPPOOw/33nsvunTpgqlTp6J37954hWNwTDTeCkdnxhutWTOWD5xozi8vhbMwU6eq69U5EM50ec5Izdnbb9M7s8yaDlJpGCY71eAky3+NH5PdPoHDhy13oZY7Wr06KtBp+yO5Y0gQYrU3KdRHKK0s496b3mczzdn+/cbHgXb2NzLV+dzOc7ZmjfHxF1xAVJxomjPis83jDDVuvH3ZpWuy9QChJa7xA0HikhDC2ebNm9GiRQt06NABo0aNwq5duwz3Xbx4MbVAKaAuQBpeoJRFRUUFtQZXcXGx4b7xJDKIej2wmGjO1A0uaBW8Cgjw2qz5xx/qmpY33eRQONPUTd7TDz+kd2bVY8PnjLWL2QoBAREnln//W9WkhK4jpW2tsmkerU3RmhwLS1OpJ8gAEa1Zk+SUU4zLC+1rGcRj5mNp9uwLPGtGl9PHe5l5fc6MKlq5UpdcO1Ex7Xo6s6a1AGy/MpuQ3a0G5DmrqcRdOOvfvz9mzJiBuXPn4rXXXsP27dtx5plnGgpQRguQmi0+Om3aNGoNLq8y+opiOKbGeNKihDOfz7sHLlHMmmaT1SefRD87MmtqB1kT7YaI5owDP2f3EXIwvuIK4KGHItFk1KFD/yJQEIFbE8f+/cDMmdHo11jWHYZDOKOqJ+8Rj1mTpTkLa6X8RP9h3HvuU9Vqzoz6YKhAyqxpUKTrKwQYnYyVNjyBCBql1rE8zkZlHkRrUpp5qTnzjLgLZ+effz5GjhyJHj16YNiwYfjuu+9w7Ngx/Otf/3KtjkmTJlFrcK1fv961sp3gN3pYYh0QoFW5J5rmLFZmTUUBnnwy+t0ts6aimCcHddvnjBg8zQS1oJ3RPpzmhdSc7d0rXo6b9OwJjBqlro/Ji9uTCkeQCGXWJCc4m4JFxOfMop8GzcYTs2hN8vOcOaZ1KF98AZx2mm55K7/bAQG8JJhZk0RRwC2E07fDoebMpWvif3wqu3yJq8RdONPSoEEDnHTSSdiyhZGNGMYLkJotPpqWlkatwZWVleVqm+2ifVSULVvUEHWvMUmlAUB1VP7zT8/rtXWcl2ZNNwMCNN+DxKOmuwoua87oMdh4QLYVcRkq3HFCTKIsx4TXu7MQICjiIpxFz5cSmMzMmibbw8JZ0E/2LYbPmVmjzHzOyM8XX2xWCoJ/Hw8sXQrcfju13fUktALXJ5Gw63NmVAY3brzYavCR645KPCPhhLOSkhJs3boVzQ3WLxwwYAC1QCmgLkAaXqC0JqGbmzZtBnr0iMNbH6EF8fmAt98GevVyr/hAIDqB2sENsyY5SMVAOKO0UlrNGU/KDrfW1jTBSToM8i3etcTFThE5n3j7nIW/BYP6/s3ZtnAkpMJKcEzWJXJ/7Pqchas4eJDaHjPhzEt46/zkE+Af/7DcXzEza5pFazr1OXNLOPOgTImeuAtn99xzDxYuXIgdO3Zg0aJFuOyyy5CUlIRrrrkGADBmzBhMmjQpsv8dd9yBuXPn4rnnnsOGDRswZcoULF++HBMmTIjXKdhG66yt+KDmFvIaE81ZZNLgWD+Sm4suAnJzTbNfm+K2WdPI50xbtgOhQyEnWU0qDd1k6XoqDR/x2Xg/J9qvWA3J7/xvOx6ZtZbPpCPSNzTXd1vDFrh1+CSsfXOmYAtD8Ky5SZo1wzemutp2n2aZNVmCmKnwxqs5YxxDa+nY40bMfM4SgWuvBaZMARYt0v1EOfaLBAQoHMfxRuPysncvcPSo4c9+uK+Nk+iJu3C2Z88eXHPNNejUqROuvPJKNG7cGEuWLEHTpk0BALt27cJ+IqR74MCBmDlzJt58802ccsop+OKLLzBr1ix069YtXqdgmwTRNzhKqcDF3Lnq/5dftnd8vMyaToSzomLg5puj383KiltAgH2zphtmGh6mzlmPD5fsxKrdx6x3dqA5u3nEZMztdDou2pZj78WEx6zJeuKrqvQCEme/Y6XSEMataM1wGzRBGdx5zizX8bSI1vRyDBO9vuHl4AwQWiGA+Ow4IIDnGh0+DLRqBTRqxNcoKZx5RtwXPv/0009Nf1+wYIFu28iRIzFy5EiPWhQ/Im+iMU+lQfwUaxOVqWonqL4xxzIgwCWCPh/w7rvAO+/o34a1O7u0fFNkF4PPuiocqM5ivUJAeZXF5A04Es52NCTcKOwIxoLRmpGs/lrNmYDwEY6WpDRnQq1g1CEgnCksH7qKCioowDXNGaGFNv09jJvjmGhfZ+zPLSOZmTWNfhMJ+LBCNJm7TKXhGXHXnNVltNGakcEunqk0EoU5c4CGDYHZs8Xe/ngG71gJZ9R34lHT3l/XAwL4zJpunW4sBPokt+vQnHwSrxBhhGi0ZviLVnMmQFhz5mhRcLNoTRHNGaKaM6V/f/F28ApnNQErnzObRTk2a/JcQ47njBK4a9J9qWFI4SyOJEqeM5KYP2pGD/fFFwNFRcDw4fwTxlNPqSr5HTvM64mBcKZocgGZZnG38jkTDIenl29yOVqT0STbCPRzP4+t1oHmzGdTKBE5hg4ICOFAcxaJ1rQICOBGqzmzaAszd19FBYL7ozknXdOchX9PhGjNX35Rl7QSSCFDmyf5AwISMQkt1XIpnHlG3M2adRnDPGdeozNrEgNAokTekZAD96hRxvs98ED0v9ZcbicgwAFaJ2zTkq00ZwJ+SAC/L6NbZk1W+gYuLK43GfHK9aw4EM6SbPpa2SUiULF8zjiJrhBgHhBgims+Z6EPFRUIEO1xbW1NK7Omm2hdKbQMGqT+LyqK+tOSWEZrGvywb59+9RDyuF8XAZ0bAiKpoDxIpSE1Z7FBas7iSKKIQQn/fIk2kOWvZaQ5e/ZZe22ygDJrajRnOqw0Z6LCQi2J1gwQ9yzJbc2Z5ppSZk07wpmgUBQRZhxEayZxJqE1b4hGMDTrd2b+UGGBrKKC6vs+3p7itnDm5CWT93pu385dJFfQ1ZlnMo6Lfg7OmAHceKN1OVVVQHm5voDw56oqdbkrmy8h3OlRJI6Qwlk8iZdZ00xzljAiI4FVJJcW1uBhJJzde6/5cTbR+5w5EM4E2+VptGYI6lC7Xcain5OaPS6fMweas1hoAzSGVPWfA80ZSzhz/PyaCWfhCT9cF7XiQYiKCiopbsw0Z27eM5Ymm4XNcdpQUNu2Tb8v9dmnrnFrxQknAA0aqPeLVdd11wF9+qhuIDaQZs3YIIWzOGIYEDBjRkzbEXRjovWSK64Q25810LOEs/fftz7OJkFyvUNFgemFtYrWFPQ581OaC5M22hlYIysEeD8ok8IZlzLDkVmTuN6xNGtq/R9Z5xAIsH3OYp1KwyTogUylQfrA+WqizxmvcGYEK1qT+GxXYx15wdNmMNDWt3u3GjW7cSNb8P/sM/U/a7kzp2ZxiWtI4SyOxM29SxehFaN6Y3XCvJqzG26ISXMAegLVmaFcCAgg38apVBom19yJzxlVt0cSfTWpOfM4IMCxWVOwyojWSas5Gz9eL7AZ+EhGk9BGhQlHPmdWZs2wcGYWEAAgSK7t6rbmTMvOnarvlxYnY41TzZldnzOrfcP1DR5sswB3oEqUqTQ8QwpncUT7aMfLpJjwZk1RrISzGAQEaMt1FBDAMQAKKtd0x4jieeJi0AEBXqfS8Dvx8QPEfc7CzxnL5yys2Qizbx+werWujIhZ06ucXnY0Z4C3Zk2S7duBdu3U1UecUFysmgtLS9XvvD5nAtedkoFtvg3biso1M5mzrinHOVH9TWrOPEMKZ3EkbtGaGnR+DTUdEZ8zq+NcghxYdbW44HNGCthm6TOMjuGGsfC5sHDw7rvA449b7kZqzriqcEtz5pnPWbTciImKlefs8GH6+xNPMMtjRmsKN8pEc6ZtV1h4iTSAkYQW0Jg1OVtk5VfK8jn76Sf1P8u3SqRPjhqluk7ccouaTJh3CT2rOkaPBvr31403Yt1LYXwSOdxBX161iimQa9MESbxBCmdxJFHMmgmXhHbLFmfHJ5pwpijmAQE8qTTCGJRDRjZSec5MquU2a7J8aJxcqrFjgUceAdatM93Nsl9qlgpyLSAgBqYaxSggANAvH0WsPkDuyVpbU7whLvucAd5Ea7J8zpK0fp02+eYb9f/MmWqeRKeE2/Lxx8BvvwFLloASsgTaSpvCbZj2zYRtq/J69wbOOEO3WRuJLvEGKZzFFU1AgFOtlYHjsBUxW77JSmgKc9NN7tdDDlJx0JxVJaVEqxFNQits1uS7h9yny3RwdsEUvnJl9POxY7qfq82Ex7VrgbQ04M47iUYJ3D9tKo1Y5Dlj+Q+xzJpa4Ywww5M5xNipNBwGB5idu87nLEqlP9q/aS0xb+iwjWhNp477LI4ccV6GmYCE0HWzMc6avuAZ1W32TPCYNVet0h8mhbOYIIWzOOKqHFRVBZx0Ep+zqMkDzPWoef1AMiZqIcjB8MUXVfMCaTaJg89ZZZJJvmfXzZpRTDVnvOfL2M+lWIIoDRsCb7xB10FUomvCo4+q/196CcY7mRAHsyaJqVnTTDhj+HN5Fq2pxURzVplsIJzxts2O5ox8buIhJNj1OVPA3V7aV81GsIeZz5lNaoXrSw1ACmdxRBcQ4KTPr1ih5slZuFD4UKGJNhAA+vUDLrssssl1ZZvIG/HVVxv/pijAXXep5gXyusRBc1ZJas6014txvpUBBddc/X949szRnMJZ9LPryzeRE2e4cFGBnodbbwXy89V7tmGDudmV1ekS3KzJ9O1kac609RPm26Av2lfCQQy2hKHIAdG6i6qB4Z2vwtt9L2XvqxHOyLrI/h2w47hudc0//FDtG15rzliIjgtW0ZoCTwyloea5rmaaM57z4Ok/5C5Sc+YZUjiLI4myfBM9AFi0afVqYPlyYNasyCZHZ8GqT2TQ1Ua2AdHzO3Qoui0jI/qZVzhza+BRFMqsqbtiDM3Z3LQWWNz2FLwy8Gq2cKSB0pxx+pw5M2t6xKhRqrbz1FMps6auPid+VoBecxbz5ZtMNGdaCK0vrTlzYeFzghlHM7C6fgs8fs449g7agAACUjNMmt+4+wnPNdfm5TIbJ2IxtopozojPQUXs2EgZokExPp8nwpMMCIgNUjiLI66OHw4eEsqCZiVqMQZRXh8n7hN2+kYcbiOZcTs1Nfo5DpqzCmLyUnw++joyzvc4DJydjfKckfKb22YHxnWpDEQrdNVPcfFi9X9JiblmL9E0ZzwpCIg6q8P9gWf5JuJ3K58z4R5MlF1pddomec5ozbCP+dkUnmuuFTZiZdZ0WdATCcDiMmsaacdiYdaUec48QwpnbnP0KLB3L9euiZLnTOiRZTyMKUkut9strciuXdFtPAEBRuU4RVGoyQsA7QPHON9qltNtUZHqCM/AMFpTuLEMGJq7ymrGoFxdDfztb8Ann7hSV3XAxOeMhROfs6DBigweEekPPJoz4pqw0lS45XNm+Rhz+pwF/DZerngmeb/f2Kzp5T0zKlsgCS25qapaxKwZhSsggKMtpjjJc6ZZ3kviDCmcuU2jRmo4tjZXEQOtxslVx16Bfck3ekvVOVM4c9CNysvVtd5I86Rby6cQKQiodvMGBLg44JOTlwLQwllSklrX/fcDkycDFRUIsEwHPXoYls/9Nm5imjKEpTkjhLPIS8UnnwCvvw5ce614HWEIZ3jTc2IJ8E6iNWO8QkBFWDgLBoWEM9Ksycxz5mAMSbF6TTPxOatIIgMCSLOmh5ozcpxIJA2Oxf2sFF0rOFys0bU0Epa0GnqXxjfqqHAZ336ruo4884ytMiV6pHDmFWvWWO6iHUfjZb2nJ0Fxs2ZasoNu9MorwEcf0Y79bpk1yag3O6k0MjOdtYMol9Kc+Xx6zdn27apPzdSpwOzZqCYfzXDbd+40rMJIkNGZnLUBFOXlQPfuqjO+Sfu1MDVn+fnGZdiA9jnTtIElhGzebHqNKOIQEEAS6Q9a0xMLA81ZGLde6vw+MeGMpEprthfFjuaMFNC1As9zzwE//yzeDhGEfM4I8zHr2TE6jrRK8mjqPHzBZLYjXH54Kbz77nO9vrqKFM7iiGc+q7w+LN9/D2zaJPb8hgZR0vfFkeZs3z79NreisMgkpTzCmXaC+P13d9oBjU8OGMIZKUiWloKaajhukNH4rOtic+bQ37/6SjWVatJYUDDMmhWk5szH2M8FhKM1AaBTJ77CvQwICASA004DrrySrpL4HNGkCgpnAYbGMEj5nNmP1ky2ej3UaJyp86GiNcm1Pjnb4VQ4Yz3TZ53FWblNbA7gQsKZUbAWz6Bt5XNms/0yICA2SOEsjuiiNd0ya/I8MMuXA8OGAZ060WtrWrUhtC85GKc60ZyxBlW3zJqiwlmMUmkAYJs1iXZUkwMgx3IyRpqzZMKRiJmZnGdSJI+7/36goIA9wXgonOmabtRPtTnCjNAKZ27mOVuxAli6FPj8c8NdItGNosIZw4Rpy8eLgUkmPpXw88TSpIqaNSsqgHfeiWo6eUx9WsGUHCd4/UhjAeOekl8rA0F70ZrktQwY+Eiaac7cCghgCYlSSHMdKZx5BUdn5Xo87XR6Hs0ZoRUi97asLTRRkKHzjjRnLP8vpwEB4cnMSDiLRxLaZE2eM63mTCPYBEiVQ6dOdHADg4CBCZC8N9zLNWkhr8v69cC119LRmuGezPs2z4ktzRkvWrOmm5ozg3OkfM6SU6MbBaI1WWu06vqWCGRAgKjmjMxzliyY5+ypp4Cbbwa6dFG/O/U5s+nHxcWCBcDQoarZXNseI0zuqYjmjLwlVEAAzwumVSoN1m9y4fOEQQpncYQrBQVv5xd9Q0pPF64CQGQQrSAG42Q/54ywdat+GznIhP304qU585Aqv0YvQU4m2kFUqzkDgE8/NS3f6PaTwhkpUDF3NkI7cS5aZF9zZlM449ac8WKmOXMqnHG0jfI5s4IyazISFlcK9OetW4H334/2P5FoTe1apuRPSQbRmkbX4ocf1P/hoB0vzJpusXgxMH8+MHw4/zEmmrMKIbMm8dlnoDkz80VzqDljHcEMCJC4jhTOvMKG5oxpAjAbtDZsUM1MZLJVzrqRlhatQsSsGdGcpZjvxws5qIajEd0SzkgTFzmYGeWW8lBzRgqz0PqcAbqoKp0ewMJcR91D4jRSDx+MfLZ8Y1+9mr3dKiDA5wMKCtw3a5rdD7c1Z2bCmWi/MMpFRzqFk8+PTbNmxP+vsJivXcXFwIknqs7bb76p+9kyWlMjnBnlOTueksbch0J7jRJZOAuzfj39nVco0iCkOSMw1Jy5GRCgOSfLABRp1vQMKZzFE575xWzQOuUUNcJv7Fh6O4+ZhNScUSYxxoP38svRwdxL4Sxcp1vRmmaaM9Z1dWGAMVIimkZrKopOONNpziyFM+JwYnvSn9EJhTkpkANtr170YuRk+zRUVGvEx7w8YMsW0zYalWVEgLgmXNGaIpgtfE62cccOoE0bfXZ6XgzO13a0JsPkT0VKGg0q5eVAdnb0eziSkajbT1zjIKucsFmT1R8MhDND3BDOeMx8sUIrIGk1Z6RgztJgGxZLlmOgOTNqh1UqDQ5YudVkQEBskMJZHNEGBDD9RcwGrbDw8dtv4uprUnNm5NuzbRuwcSNw++3AX/9KaZxcE86057d/v2vL0VDCmVZz5pFwlpHCECwVOpWGsnu3mlCWrFdz/wLCwhmpOWML21xmzblzVQ3LhAmqrw1rn/JyVOzdT9QR4ptvTNvILMsE0zksVmbNSZOAPXtUDTUvZNtIAZN0CrcbrenTR2ZyPYs7dtDfGRoPMlqzmhVkEH6eGM8O6XN2PIV48TO6Tdr7R+YkNIJh/o/gpc+ZWXtYbWF9JxCL1ozC5XOmbYPDMY0pnEmfs5gghTM3ERSQuKYXXkdZo3awUBRKOFOIiYl68E48EejcOfo9EIhqzpJdEs60lJR473NWVOTZYJ6RGm170MDsA0DVepKQ7bvvPlRv3Ub/biGc0QIZG65J4aGHVA3L9OnA4MH6toXLOsRIsux6QABbsAHgQUAA0R+c+icaCGckFSKaM8VcaDJaOomCXL5MU2aYZHLuZz2DJpozsg1lPJozLTzJkbUvbWQ74qE5i7FZ0zBaU1u30XeeZ0+nMGCYNc3qk7iGFM7cRFQ445lfeB8oB46fitkC0yTBINOs6erzGQh4b9bcscM7zRkhnIXNO9Xw4XhqOr2j1qxJ1l1YqHf8thDOKC0T2RV8FpozHiwm40gdrgcEmPwYK82ZnXVjeYQzEc0ZkVi3jNJKqfWQZk1DjIQzMiCA6Di6ABbANJVGSWo0YTOlOTN6BdUKWrzCmdG1iqdZs7gYGDCA3mYSECBm1iQ+G2nOFiwAPvxQfwArWnP58ujnoiJ9BKoGVuSt1JzFBimcuYlgR9WZNUUDApxAtNXQrMlqi9s+Z1rcEM5YAQHkddy9my3suHCt05KjbQ9PpEWp9EoDTO2Gpm6dhkTErGkgYoff2NOqOHOBRQpk+Bglp+r3c7mvVpuV56Vw5uaE44bPGbEUXFlqRrRobVkADPXxWmEonIPNQDhj5k7TaM7IflyYXj/aRh7hTHv/TFYfiKAVzhJFczZ9uupaQmKlOePpv7NnU18pE6NWczZmDLte7fUaNoz+/aST6O+6gABWO6VwFgukcOYmXghSds2aVsdRPkoGZk1WWxipNIyEAVtUV7u38LmR5iwQYGcPd2GgIa9eeUhzVpSSwd6ZrFeb50w7OZqkMQCMozXJMwoLZ/WqBBcoZpk1tSseGOynQ+AaU4l1CwtVDYGiqPfP4o1ftB2Gec7s5LIy9DkjnMJFojUJSrUaWEATCWwAq46wT2EI8kxFfc6K0utFPtsKCODRnJlZCOKpOdP6y/GYNXnu+fDhUPbujRYLA82ZEQxfVhw5Yn0cATNaU1sH+V/iGlI4cxNhs6bWvu9Ac0bW9/PPQMOGwIwZXPvTmjML4cztgAAtbmrOjIQzgGvtU1tVE5/DGoTCNI3mjHWNNf2lWiugWvqcsdtAEjanZBDCWTXPmMrUnDHuv8s+Z9UBQuC86irVB+7jj9XgFKfrJposfB7k9UfUmpBYnw2e3/LktGgZAteEZdakTcwcbQ2zaZPmJS36E49Zk+zHpObMVkCAHZ8zklrqc6b88kv0s5nmjKzb7LsgrDlJmjVjgxTO3ETYrKk53K5ZU/tGefHFqj/BjTey99doapjL+rAgAgJIs5brPmdea85iRNgxujDFYgF1lubMpxFQy821XZTmbOYn0WtA+pyFNWeV0bLKeC6L5gZX+pNRzhASvExCi4OhfG1ffaUu++MUE81ZNa9PEM+5hMstKIBCZNgvDgvsDoSzMFw+Z6w6TDLIs9bwNAsIKEwjzZo28pzZ8TkjP8cjWpPVDoNt5NcKXrOmtkg7KwSIptLgyHMWZAlnUkhzHSmcuQnZQY0EIwKu59OOcMar8tZ/5A4IKE61EDjsEivNmUeQgu7xiOasHr0Pywyt05yJmTWpbPoLFtCOv+EiQsJZSiAqJJQFOTqh5tqRWhKz/ZiICCJ79kUPC18ztyYBTTnp1dHre7xaM8FxlmG4z6FDah64t9+ObI5cQ0HhrJTyOWNozoyEoeuu02/TCGCkewJT4NNqzoiqitLrR45mCZA63DZrxko4s2PJ0FAZCKKcR6AGPR5zRWtq2+DweZF5zuJH3IWzadOm4dRTT0VWVhaaNWuG4cOHY+PGjabHzJgxAz6fj/pLT+cYELyGfHD37rUUknyagZRpAvCi82seWm7NGSGckRO0qy10M1pTExAQ8Pnxwwn9cDgjm32cC5DX4nBmDgDgmEY4Y2LlcyaShNbnU1OSgB5IWVFipTzCmaZ/FGbQwlnkV5cF4NJ3PyDqcBgAoEVzTinB6LNaUmnDrEmiNWuGnMUV4voUpmdFy3CoOeNyMVi4kN1Og7qrWWZNs1QaySmRth0J9XvAwFUDcCVa8/djAaxr1p5um9eQL0kCZk2tX25RKseYoKlDeG1N7Xcbc4llnrM4WCTqCnEXzhYuXIjx48djyZIlmDdvHqqqqnDuueei1OJhzc7Oxv79+yN/O4lw87ghaO93TXNmB9LnTDuxm7Ul1B7SAdhV7Jg1ja67RnP2Ua8LcPMVk3HRDS85ayMnBfUbAQD21mtMN0+7I8OsKRqtqctzxuh7VSHhjLzHXJozrXAWI81ZSRnjnH0+oJ4Lfc+kHaVVDrUjHJOXK5qzUDXUCgEi5jITM6HO5xHQBQRoBeZ92U0BRPu9KQ7NmoVp9XDpsipceOPLaj7BWAln5HNo0+cM0Edw8yDsc2a18LnV8YBBnjNG/5YaNNfh0616yNy5c6nvM2bMQLNmzbBixQoMGjTI8Difz4e8vDyvmyeGtoNaTFbaR9s1nzMrNMKA6q/kM24D2RaW5szNB9OOeUJR2Nm6NcLZDyf2AwDsD00irlJWpvr5EZfiQGiS2lO/scFBBJpr6ERzRpZHamPDZk3yHtvSnKVpNGciAoFtQYSoIyeHbzIXaAd5TUqcCmck1BJUpAN9vWgZIpqzVH2aigq7wTkmqXyYmjOTPGcAsCcnFx0P7470e5G6rcz2AKiXtvysJpHPQZ8P/lgFBPAIZ4C+f2ldA3i06aDviSvRmoIwU2mQm+Lp61fLibvmTEthYSEAoFEj8we8pKQEbdu2RevWrXHppZdi3bp1hvtWVFSgqKgo8ldczLlQsChaQcqi42qjNbnKZLFrF3DOOdb7kWg1LTxQmjMD7YlTiKADbiw0Z7O7DMIXud2RVu3h23WbNkDz5gBRR3iS2p1FC4NMn7PJk6lNOs2FQCoNI2G9nCF0HDnC8Szw+pzxYFM4o3Ca48yiHaVu+5wxIH20RK7JkYwc3TYqOIfY7lMsniNNPyEFiOp0xrU3yXMGALtzclHlT4qY81n7UHWTCL6EktHCRen18XywNbY0amVdhlNYzyFr/NFu07gUFHJqzsjr5zha00Z/DTJEBEpIjJXGsg6SUMJZMBjEnXfeidNPPx3dunUz3K9Tp0549913MXv2bHz00UcIBoMYOHAg9uzZw9x/2rRpyMnJifx17drVmxMQ1ZwliFmTen7N2hQMRgaFIuLNz3WfM4eqeFI4K09OxR2X3Id7Tr6cL/+SXUKJQpWyaM6j7Q1bIBBUsLlhS/Nji4uBX3+lNuk0F0JJaKOTGKURqlDftslB/sAXX5u3DdBd34P1G9I/i/iDiZg1GQlXAbgjnGmeK7Lfl1ZxttHoXMjtRPoZ8roH/Ek4kpEtrDk7QF77UHnFaYyJfs8e+KzK1Zo1iWtSlcEo00JztqFpO+zOyWWawnQ4XPi8IikqkE4dcjP+mdwBQ8e9rj8m5HvpGnY0Z4oCRSNMFXFqzkgc+5zZwNLnjEfjKbFFQgln48ePx9q1a/Hpp5+a7jdgwACMGTMGPXv2xFlnnYUvv/wSTZs2xRtvvMHcf9KkSSgsLIz8rV+/3ovmRx6E1c1Pwp9N26kDzpYthjm19N2e8bDHIiCA/MnKrBkaZMi3Y1fZtg04dkzsGKMBqaICpYQDtd9Kk+ACZFM2NG2HP/cXoSwlHfUqytDqWL66j/YaMwZaXR4xK+GMjJg30JwVHte/5RbYMLnuzW5mfYwLlDESrnoVrUlSypuHyihZrYHAo2VvTjNh4Yx1v4qo4JxQO668En6rcrVmTaIflmcytKOVlZRLRLiuTgd3AAB+b94Ra/JOpMsk+/qyZeqLCKNuUeGsPCUqnP3e/CSjI4C//c26XBFhn/Ucso63eFE/HA4IscBwbOY1J4qm0tD5nLGiNQkYwlkgqOCH9QU4XCK4EomEImGEswkTJmDOnDn46aef0KqVmHo6JSUFvXr1wpYtW5i/p6WlITs7O/KXlcX3YAijKChKzcTwMc/j/JteQaCqGujYEejRg5mZOUmb6IyFV5qzULkH6jVAqcLZDQjhbD/h8+Gq6mz8eOBf/xI7xmggrKykTD6ZlYKZ8e1A3NKKlDQ8P28TAKD3vg30EkEWFGvfrIU0Z2Bqa4qYwhmHf5CmD+qEMxFFll3NmVGSV7uY+JxRmjNRs+axY8CUKcx9tEL5npxcoesR8PlxsF4DqjwFQFEaQ5Bavjz0qwlasyZheiuq30C/fzCortSgaXOfPX8CANblnYivTh5C/Ubdt379gNNOi9atLdsKwtRPas7ISFsdFi/6zLaYwdKccZg1tZqz/fU4njvQfeaj3hdGf/BKc6Y1a1qtrckwa76/aAdu/mA5Rry2SKxuCUXchTNFUTBhwgR89dVX+PHHH9G+fXvhMgKBANasWYPmzZt70EIBgkFqUi2rIDru7t263dNTaKdvpknRC+GMGDweOO92TRtMBqpAAAgEUJaShqNeac7sYGLWJIWz1ID3/hHhlrQ7oubo+nHDAQDARRuimb51wgzjmuv8uix8XQLkJGugOSsqr4r+HmJPDocWTFPW7ga51sdwlmVGsVG6AY99zgq5lk0wKOP22+k1EU2e391h4YzzmuzPaowgESii+FR/s0pyKbXwtfH54LMqVttPCAGisJ7B833oECH4q5tySw6j/y7VOrDghL4Aov1fR9hqwfK75IHhc5Zq5kuaZmMpKTMsXpIAsO+p9gWHR2PNYG/Yf9UrnzMNlnnOGKbuWavVJad2HOZYL1ViSNyFs/Hjx+Ojjz7CzJkzkZWVhfz8fOTn5+M4sV7ZmDFjMGnSpMj3xx57DN9//z22bduGlStXYvTo0di5cyduvvnmeJxCFEVBWiA6iZaVV1G/adEufB5Z0oXk6afVAVHLTz/ZbibZnpUtO9ObOcya+zTRjoaPvBcmWZ56SOGMiGRLCXgf0RWu+talXyA9tExS58O7MHzdT8aTJUuQ0mrOLISzciI3l5HPGcusualpW3P9yu23A0SamoqkZGwNOV6HhV0vfM4UAPmEVo+qwwvNGVFmgdH8y6OVIJbbAUBHa4aqCAsTfzZrD9xxB7ffzqYmbXXbDIMzfD6kVVsIEtoktMSEX2SUC/DgQd15+wDc+/MHSA49X/12rcGAXX+oZRrVbUdzRvjvkS9dppqz1FTj38KIpO7hEc4AS58zbXodw2I01+loZui+GF0vrTDmUHPGyqtHCWyMvltaEcd1TmsRcRfOXnvtNRQWFuLss89G8+bNI3+fffZZZJ9du3Zh//79ke9Hjx7FuHHj0KVLF1xwwQUoKirCokWLvHP050VRaAfs4+aDrvaxIU0WEd58E7j2WvVzcbH6Vl5eDgwZot9XoJ3hh1BojcyQcLalUWu+/du3B44etdFAQUyEMzIIIJUYxL0WGzse2oX/vHc7/nlNL/xr9mNIC5B1W09MZdpIRdbyTcR5lxADouIDc1AuOl6tq/9YRjbys0wmipdfVpcDC7GxaTtUJyWjYVkhWhQzXhqs4JwsitLq6a+Bm5i0I5+cf83WEWSVodVoMO5ttwLV/SLin0WsHGDGn+GEq+Hq4dMJ8WSLyAXuAywnfU1AACWcsYIMAODCC4lzil6bvnv/xHczbsfLs5/CB58/GvHvdDVa02DcipvmjDfPGeGnF2ZbTp6an80CbQ87FLZY2FkhwOzZ++UX4L77dOPMQabbg7lZs4w3ibPElLjnOePJkbVgwQLq+wsvvIAXXnjBoxY5QHMupWbCWVWV7tyPZuagIimZmsgBAPPmqf8vuwyYP1/1y3JKaLDQCWcc0Zrrc9VJokNOKrYVVhrfw507gXffdd5WK4x8PrTCGTGIV/mTKWHNtaaE/vugoP3RfWh/Sgug8nhkG/sgrf8Tb2UGwhmpOSPu55FSdn9c2ro7hq9fYFwPMQD/2vYUAECvfRuxvXGraH0uQ+axAkD3Sy+iNYkK9pOXSVQ40woZ1ASpltVz30asatEJWxu3RkH9RsjlTKC9pE133bYjRhounw/1KqPWh9KUdGRXlun20Zk1Q1ZTw1QPR4/qNWeh7ycd2oWTDu2ithniUDjjdleIh3AGMDRn6vm1LDyAgw2boSQ1A3tymqFNYQF/3QAO1gtF69rRnJndk3BOUU2w3AFNZDYAdrSmwVgksU/cNWe1imCQmgxLytVOOrfjAAyfdwA7DoUSZ+7dC9SvDzBys0UePhbz56v/XVz4uVqzxhuPWfOPPDU6qktjjiWzeMwKTmFNmiGBooIwFZPmj/LkGLSLbA/5VXuNNW/B3Ck/iHIpU4KBz1l+UTmqff5IH+2xXw1W+K7T6Xz1AZh70kAAwNnbVvCJZDYdlHfnGPi1+Xye+5ztrvCxXzh4zsXC1wgAGh0vQo/9mwEAczqfoSYvtqAwrR6WtlbTC4XvmwKfGlTAwuejzPilaQwtpDZak+iHx8zycDGCTQx3NUqs7Vg4IzRnNUA4Q1C9tsnBanRqqI49q1p0sqxOe40jCX7t+JzxsGED9ZUVHUyVWFmJmUt34YrLHsWxkIldas7cQQpnbqIoIF/xS0M+Z7de/hBWH67C1Dmht5JXXgEqK6Hs0zvNMgdb0eWMeNqpKFQ0HBfBICqqg5FJYkALdQA3ffxjseYpa0IMvdGRgk5yMDpokKH4rjYldP9ZmgNDbYJmYiJ9+pKCJgMdcVyxgeaMJBBUqCjbK9aowv4PJ/YzFoYIlrXsit9bdEJyoBrnb/wV4TtvOEm/+irQogX9Nq5p196splih8XsEgPW5HajvkUleUTzyOYt+Lgr4sO/Ycer348lpWLDpICrIlxkezRnlcxat5Mo/VG34e30uQXW5tR/T592HojI5FScd3ImOIe0UwAjOIAICSEpYwpY2zxkRrbk/TaORGzNG/d+8OcPnjNHXzUaFkhL9mMYjRBCuLWS0ZloshTOeJLTabYpCXdvTmqlj4v/a9eKokG5b5LngNWuKptLQsJexmopWc/bgV2uwvHlnPDNI7SMB3XIlEjtI4cxNtGZNjXq3OtxpQ52b9Va5soV+okKyC9ZnrV+LomAxw0xitbbmgopMHE9NR27xYXRuyCHg8AyOTmG9LYaFM0JzRvrdVLCCL9xoCmujRjPCXCGAYEeDFpyVEaaEco3PmcH6h+/1vSSy7cTDu3Dm9pUI+pPw6NC/mvrAlKWk4ZFz1ZxRI9fMQ9OyY9aD/fjxQH4+nWtKc8zpf38PI0Y/iz80+bHW5J5gXK7HmjMAWHP/VKquiRdNxA0frMRzZ15nXgZLOGOYAUes+xGNygqxp0EeXhl4lWlbdufk4uWBVwMAblzxdUTwCfj9eKPfCPZBPh/Vz5iJarUa1qPRdD870nLofZNC9k4iSTTPFMyMQC8qsqc5e+wxIPRCS2rOUgImvqQ844/Iyy8pFAn5nKnH+RRgcJ46bs7tNJDKw8jD4jY9UOVP4tOcuRAQsKJlF/0uBj5nuxok2HKKNRwpnLmJolADotb23rh+SJgJ7cMKU/6hY399uSlavzDByenoUWDcOLqdgSDe7XupblezR1kJBPBGhfomNXz9gsgjavr8x0NzRghnpPkyQAzCB8zMxy4QuUPLl5MNY++smZh2NIoKZ6ZDq4FZ00hzBgAbmraP9FGfAkz66T2kVlfixxP74bZL7sVhhg/TjgbNcd2VU7GhWXs0OF6Ee37+kG6GWRsBrrf3+Sf0i3yu8idhcci3jTqnMJ4IZ3SZP++kl7X6T8j0+0nP80zKANvnLPyR2JxeXYmHf1RfmF48YxSePXM009S+rGVXXH3NEyjMyEKP/Zsw8o95kajfg/Ua4ngoUW/bogOhOqKaMyp3G0tLrjVrrlgZ+VyYlI6jZKLUDoTGRnOObC1x5JO+Xq1wxnCYNySU0PsQ8fySZk3dOqNua85417TUfCdzyJ3WNAVtiwpQnFYPs7qebV6Upm1HMnPwefehAJG9wKpuw98sjt/esAW2NGnDaBPxhdAkepaYvI4ihTM3CQapAfFAaRU1IDepHxooDDRnyYFqrGzZRfVDoX7QaM5EJ6cy2hE4CB+e2peCxW1PQWp1JX4p/hH9UWhZzHe7j2NlsD7Sq8oxdtks+PLVjPeoMEnuGm/NGWHWJK/3brfe8gwGvMiE9ckn+kO0GzQTE6lFMtVkcgQEhCfHS9ctCJVHtBEKuh7cjme+exHJgWp822UQThv/PkZfNRUPnft3TBo2AZeNfhZDxr2OFa26on5FGd794h9ofLwodI7GTaPg0EyQEaM/nNgfJWmZaFJ6DO0aMIR7DzVn/XavBQB80+XMSF44kjwyQtWm5izM5et+wq1LPgcAvDLwavSd8BFuvvxhTB56K+654A6ce9N0jBz9NPbm5KLt0X1468vHkawEI5qzcILQ5EA1Tj6yS1c+5f/KMmtqk9Bqfv69ecfolyuuUP+TmjOT+2Bq1qyspO8hsWYvL7tyos8vGehTrvXX5LE6uC2cAQzNmXp+PijwKwqu27AAAPDCGaNwrMw6lcrT372Eh35UfY0fH3IzlgU41rd1oDlTADw76Dr2Lqw8ZwAOZzag9ktNkuKFE+TVcxPNg7DhaCWKiUGxUT36zVg7uN269AsAwN0X3IUZvS9Cefgt0KlZM1RPYVo9fHnyYFwwcDxeP6AOYg//+A5aVxbByn9oY5O2eGCFqk24edksNCs9Cjz+uHrM3n3Ga9jZ8HMQhiWchRx3yQGD1Jx5pYLXnW1m9P4bTgGkXxKA31obrytLVxat7WBx1G+JlUojktqAMW1e+ufP+OyTB9Bj/yZUJaXgf+164eNeF+CTnudhVcvOCPqTMHjrMnw743b03reRbECoPovJzSziMUTYF648KQUvnDEKAHDVnz9ap2Swi87nTC3/jB2r0fHQThSn18frC7bqDssrPhz9QgoU27apuQdNhDPWOTyw8H388+un0epYPkrSMvFDx9PwQZ+L8EX3v2BT07ZICVTh6t//i6/fvwu5JfQqI2Hhy69E72qkDoVO68MMNLK4pktbh9weHn00OgYJrn3LvG/V1XTdNtbT3UX42pE9+pA2HVESneibiUjfsmnWpPKcBYO4bsOPOOHwbhyq3xC3f7oalQZLhpFX5ablszFwx+8oS83AVddOw8QLJ2JR2MxJ1m3SDksUBbuzm2HCJffh285nwh8M4O+76Uz/RisEHM7MQREx33XM5RAgJYbEPZVGrUJRqLfV349U4Q/i7TM9OSQcRDRnNHf8+gn+bNYB80/shyl/uRXPnzkap+1ag1OK96HN7/vQvGUXZFWUob4/iAwlmTInVCUloTQ1E6WpGShJzUBxWiby6zfG/rkbsHvfEay7+TVsaxzNT5blVzDl6xcwYt2PQI/rVS2Ij+0H91OHPrjrortRXK2gL4pwx6+qNshXkB/d6dZbgY8+0l8T3jdNJ5hozrY0ji4FFvBFB7HVZuvxidbNGKQjE0amSdQbWUaI5S27UmkkTBeRJo7bdSSqHWWl0mBNI2T/6bN3A77+YCK2NGqFpa27oSCrMZKDAbQsPID+u9egVdFB0+NNITVnBscsadMdfzZth8eH3IxNTduiUVkhxq3+Fv8552pGw91PpREmKRjAnf+bifHDJ+HVBVtRL6srTm11cuT3FuR10J7LkCFAtsYsTCx5FkZ73S7582dc9Ocv+L15R/zR/CQcrNcA6dWVOOHwHvTfvRaNjhcxj48+q4p+MNG4WOxsyFg9RTN5awWpbzufgXt++RBJfn9UOKuu5prko21kUFWlF84ENGeHM7Kxh3i5Ip/rLY1a48TDe6I7b96sjkujRhn3G6eaM56AgLDmLPQ5LViNF795Flde+xR+3nQQ172zFK+nZ6FhOW1Oj94TBUlKEG9/+RgeHDYBs04ejC+7DcGX3YYgs/I4Oh/cgU5frkFLXwVyu52D3JIjyDpciXplQGZ2U2RWVQAVQSgZ2VBCJu/jKWkoTK+Pws2HsKfHudjWqCVWduiJVY3bIeBPQnKgGk/89xVkt24OUKkt2Zqz6qRkrCYiUHMyBHJoSnRI4cxNNGbNgvIg/j6c4Rvgp4W0MCnBAN7691R82PtCvNnvcuzNaYbvTxqA7wHgk1XA6GfE2xR++w8JZicd3ImLjm7CmEtORYN1P6q/VVfDF6jW9YZKfzKeOWsM3up3OQDglAZJeOfoWqRoIggVAPj4Y7ZwxrtArxNMojU3E1nVg4SQ8L92PZFfvzHySg7DEVoNTOh/ZAKup1+CSKdNCF0jBcCrA0YCAIZs+Q0/ntgPpoTqKCqvwtGyKuZv2u9q3caT0YlH9uDEI3sMf2c2wyqpBofmrDI5Feff9AoAILPyOF6Z/SQaVJQSdRDH2xXOFEWNOmzTRu9vRXy+cOOvWLlsFt45dTieye4BjOoR+S2rgnAR4PU5MwjOIPFDQa/9m9ArlCaD63SoczARhgDsZGmKtcJZqH2nHt6GDc1PxK6GzTGr69kY4fPRAQEc52MKS3MmIJx93fUs6jv5XG9s2hbnbV4c/XH3buC669SXpMvVcQyKAkyYADRsqGr/7QpnNvKcqQ1WP3cv2Iq3vpyKW69/Cku3H8GFN76El79+Gn32boCW8HiSWVWBF+c8h5uWz8aHvS7EjyecisP1GmBlyy5Y+VvItH3hXer/n4sAZAB/e0/9/u1h4PaZ+ra+sxQ4n17G78ztKzHxl4/Qa/8mzM2jX5AonzNFwUnN6mPTAdVyMuHS+5mXIBGYPn06nnnmGeTn5+OUU07Byy+/jH79LMbYOCKFMzdh9MYiYnmVqI+scbSmHwquXzkHo1Z9h7V5J2Jxm+7Y3LYrdg8+DwdWrUNJaiaK0zJRqXEe9ilB1KssR73K46hXWYb6lceRW3oULa67Es39Veh05zj02L9Z9Rfq3h1I6hM9uKAACOwF2jaJDPj7sxrjb8MnYXUoevT6Fd9g0oPXIH1O1L+Ma0iLh3AW0pytaNGZcq4nozUrk1NV36qf3sFpu9Yiw2qpG5H6SYg8b1apND7vPhQ/nXAqUgJVuHXpv62Fs9BxG/MZb9sa7YqPMXk71T9ZLqwdxkRzlnO8GIUZquN5anUVBuz6HQ8smIEuB3cA9eu7oiSLsGJF9AXiwQdNd334x7fR6cnJeP2z/2FbclQbRgXxdOyoP5Bl1tRqzhyuTxFuQbgtzH6lKFQtG5u20+9jIBBlBqrw915N8NTSA5h29o04Q9mDXEa0ZqQ9Jv2fKcBphTMOnzMFql/inM6D8NyZo6jfyOf6665n4dalX+gTea9YoQpnf/wBnHJKdLsbwhkr+togWhNQqHM9Y+fv+PLvA3HLB8uxA81w5bVPYeIvH+FvS76AH4qhANwjfwue+c9LCPj82NaoJdY3a48tL76J/H2Hkf+f+ThYryFK2p2AsopqlJZXoYKROzGjshw5FSXIObE9mi1ZiBMO70HnQBFOX/kjWocCTACgKkDfX+1i6GlJ0TYWGS0nFmc+++wzTJw4Ea+//jr69++PF198EcOGDcPGjRvRrBnH+sJxQApnbkL4eaRWV+G1U+vh91dm4NvOZ2Jr49Z6GcJkTEhWgui5fxN67t8EHP4d+OwxwBdKFpqRgeBx2gnfx3qM09OBLx5T0xlsW6Fra4QffoDvqsHqZgBbG7XEVdc8iUP1GyK7vATPfPcihm1eAjx0NTPPj+Vi6R5Q7fOjNDUDZanpKD1UhtKyJJS26YHS1HQca94G6347jC9HTqGbEhpUeu3dgH3ZTbGlSRvcOPIfSAoGkFtyGHnFh9Gk9Bgalx1D47JCNCorUv8fL0SjskI0LitCo7JCemUBnfZBJXJFGGYQ3Z1SFPzYoS8eHDYBgGrePuHwbqpM5hUO1fvrFsYyStoJlJiq3fbfMuvHauXGO4Tb8sNbt+KEI3vo8ySOo9pst/3Eer1GPmeRKgBceWprXPnKXFR+NBMvnX4Npg+8ip6YSkuhQxN8QwoeltdJmKjgHTEjhs8jGATZa3Y3yMPunFy0JjPS68yaoQ9+P27slYtZc37DxqbtMLY8DZ9UA1mAJiDApGVmzuAh4azSn4y9Oc2Qv/0IDpx0Bg5lZOFoRjaOZOTgaGY2jmRkh75n41hGFpUwm9Qsk8LZ1satcfH1L+HiP39G+6N7kVt8BNkVpchMykR6cQUyb/4r0n1+JIV8GYU1sSzhjPVyyKE5C3NSbhbm3H4mHr7iAcw6eTCeOet6rM07ES/PfopwS2ALwElKEB0P70bHw7uBczupq7LcOFn98ddf1e/XXqumyVn0K3wDB+rHEkUBfCFtZKtWACGYAcBxzY3WW9DV8xm+7ie0P7IXyY9PxTP/3QhlwQLgj4/UvJ5x5vnnn8e4ceNw4403AgBef/11fPvtt3j33XfxwAMPxLl1bKRw5iaUz5mCcxoB5/xvJnY0bIGthL+XmeaMiTYgQFHg53n7NnqjZUTxhB/+4ynpuGHkP3CofkN0OrgDb/17anSJkWCQypDN5XNkIpxV+pNRUL8RDtZviEOZDXCwXkMcycxBcVomSlIzUZKWEfqfieKQP536l45yMj/Qe+oiy7jmiei2vQqQXh899m/CutwTEPAnRSauE47sxuuznsCrp43E9x1Pw/7sptiX3Qz7svneoBqWFeLUPesxdMtvuKSyGump0fuju6eEMGs0wC5Ib45bLxuF6qRkXLx+If625AtqQWsFPvaxM2eicuEv+KLXzQCAZL8P1UGF1pwRaTPUD1ExnttnzADRaM2jpZXYW1CKihad0aroAHJLjkTal6Qwsqz5fPBpJ04nKwRwpPRgXZPUYDX1vAXhw9bGrVCSmoGsyjK0LDxorHll+pyJN53VRlMhu6Ii8ntyoBrVScn4qNcFmLTgveg+BmZNn9+H9LQUvPnl47h89LNYW68Bxn69BR8kpyK9upJPExjytdS2cVdOLr7YXIkFTYZiw12XoTI5BfhkHXDR3RznHUTPfZswcs08XP379zjx/q8RRDSfW+cD27E/qwk2NW2L55pqIg0rAfzfD8CQh4EhQFpVBTKrylHv6Z9Qf8T/IfN4ScjqEP5TrRANy4vQpPRY5K9pJdAEIbHX7PnROeaHozXBXCGhfloyXpjzHAbu/B0Pn/t3/KfT6fi/IWOJc7e8PPp6ie9c8wXreABloIMq9GsDq8cMX/cTzt6+EnMaPxfaD8JRuCIUFxejiMghmZaWhjRGdoDKykqsWLECk4j0I36/H0OHDsXixYt1+ycKUjhzE6Ij+hRFpzXRmTV5JxmGcCYEqx6Dh+a1067A7gZ5aFl4ADM/eTCSNiFyDCtDtpmQGRrI92U1wYqWXbCqRSdsbtIGOxq2wN7spgj6OaKpTEgOVKNeZhrqpaeg3taNqFd5HPURxIkn5GHgR9NxztZl6P/393GofsNItKZPAXJLjuAfP7yBKT+8gYP1GmJvdlPkZzXBoXoNcDgzB0cycnA4MxtHMnNwJDMHh0Nv8wF/Eo5m5qi+gCcNwPMv/g/PX94NA7UNC98jxsLA5Ivowva9cUuLoaj0J+PcTYvx/LfPR9/qLai67XZMPvfv2HOsHE3qp+LMdg3w1doDzDxnZLRmGKfmtSjs+3+gXgP8p9MZWNjhPPzx+DwcKgn1neueBQAM3bwUxaGFu/0W5+xKnjMT4czqRckXat/yVl0x6K9vUQ7pAHDC4d3ou2c9ztu0GGfsWBX1y+T0ORNDbXuQELz1QQLRzzctn403+4/AW6cOR7/da3HO1mXRtjHw+XxAcjLaHsvH+58/imtueB6/7SnG+EsfwOtf/R9SQuOa2flE3djVT0H48MKZo/Ba/ytQvQtAiroMUUZlOZrn5iB39W9oUnoMjY4XoeHxIjQqC/0/XoSGZaH/xwspc2W4jvBzfda2Fbjlty/xXafTsaz1ycjPaoKC+o1QkpqJsnrZOE4kJ6hISUNFShqOHj0ONKK83c0pAzLv+hztj+xF+5RqnDR/M/oq2eiVnBYV0DmiNVnX3gfgyjU/ILuiFLde9hDe63spmmoidIVgvIRzHaNBJ5xp/TV1L/rE7zzRsjbp2rUr9f3RRx/FlClTdPsdOnQIgUAAubn0ahq5ubnYsEHv35coSOHMTTTh62HhzOitx4nmjLc9htsNNGc7G6o+Wg//+DYtmAF6zZnF5F6YVg+fHkrH19e/iHWaDPBh0qoq0KQs9FZaehRNygqRVVGK+hVlqF9ZhqyK46hfWaYKXZVlqFcRerOtKke9yjKkBqrhmzcPmPc98M7TaqF5eUDzMcCWpQCiE3/Y/EG22wegWelRNTWIhTN2ED4UpdfDjoYt8Eu7Xvj0lGHYi2a44cOVmNmyC/ru/ZMwa4Y+kZozzeXa3rAFxl/6ACr9yRi2cRFe/vrpyKROanBITViYX9r1xBNn34Q/czvApyj4v8u6Y8Havbr9tWZWxeeeec3o/h/KzMFTby3ErL+9h6pwOpiQYNY0Mxmp+/dhf1ZjKuGy30hQYG5kn0CVPwnH0rNQcbQMFdVBpKckIScjBfVSk1SBI2hsWmKeE2HyCrdvbagfp1eVo0npMRzLyEZJWia2Nm6NrY1b47NThqFpyRHc/usnuOb3/yLZA5+zSPM0/oS630OX6dzNS3AoswG+7H4Obh7xCEasnY+7fpmJlhohITLp+v2RSbVbwVa8nbkdYypPwvwT++GeC+7CC1XVVA4m1vimvUNThv4VH/S5CABwRnYQl+1chlM/exOtCwvg27MHeOAvwufv8wFQos+1X1HQ+HgRrlv9H1y3+j/0zk8/jeDd96CiZy+UbdmOspR0HE9NR0lYG5+SEXGTCG8rSc3E0YxsHKrXIPLSdrheA5SlZmBd3olYBwDzNgHohtQ7PsXgrcswcs0POCeo0BpYRrSmGedtWoyL/vwZc7oMwsHQWprcfUansVPYv/EcH+K4T6s50xAktILa/TwUztavX4+WLVtGvrO0ZjUZKZy5iUJO+opuUFYUBfjySzVvEAQmSS80ZyZOva2O5eO8TYu0R+iEs0hRWhcqAB/1PB9PnX0jSo5mAnkN4A8G0K1gK3rt24iuB7ah/ZF9aHd0L5qWHnOuT/iLZmAPBoEDUb+JsEo/rKWza87zQ0GD8pKIL+DY5bNw+xsL8cPGQ7jtkvvw01t/1Q9cBppGBcD9592GkrRM9Cvdh1e+foqKgqV8xIgjNzdujceHjMXCDn0BAFnlJXjWtxnDTr4IC1dsi+7P4bTtmpBA9K/Frbvjb5dNwrGtJUBSCnru24Bh/qMYMPUedGxWH/UK9gFtz8Pckwbg1sseItpnoTmLSJdRgWl3Ti7+2/E0LGp7CjY1aYN9YU3sUz9Rx6Ym+dGhaT2cvGY5BnUZhGGblyBd53PGqJTQepLCY5OSo/jxrb8iu7IMCoAjGdn4vflJ+Ll9b8zpciYO1m+ER4aNx7edz8Tr5dVoEInGdUcqDgtDEX8khfQ5I86JEN6m/fdlZFRX4ONeF+CL7n/B113Owri9wIS2CqJrB4TNmn5qUu3vL8ZrV5yMWz5ehdknn42BFTtwldX5RKwDwKI23fFBn4vgU4J49tsXMWLyX4H124CwuwRDu8x1HUL/w8+1qfY1KQl+vw8Z1ZXIOF6kf/HkpOr+Sdj95vvY1qgVtvU9E2suHYVlv29HfnIa/ttpIP7baSC6HajAEweOIxLjqyhQtC8GFtrf61Z+izldBkW+c49ZBmZNbhj799zzJ3AqsUGrOQvQ1z3yc0gD6xVZWVnI1qauYdCkSRMkJSWhoKCA2l5QUIC8vMRdckoKZ25CTBw+BVHNWWgS/GnjAXyw7AgaXfcsnv32xcjgNmbFHFy36lvjcrXLNznVnFn8dtb2lexhNxDQaIL0ZVT5k3DnRXfj29DActLBnbhhxdcYtmmx7QHRFkRS3HA7g5HJyh0yqyrwzyu64y+vLMJeNMVXJw8m6gx9CCXqVeuNXq8FHfritzbdkVZVgRd2zdOlJ2HxbafTMfHCiahISUNKoArXrfwWExb/C41uug5Yswa+jz8Gel3A9DkLi3gKO3TEFtr7vyb3BNwwcgoqUtLQtWArpn7/Gvrs2wBcfDHQugG176DtK+FTgpE8bkzNmc/HnMMOpmVh6sX3YE7nM5lm8bRkP1KT/SivCqAqoKAyEMSG/GJsaNoN/76kGxqXHsN4HMQN8Ol8cSgtEJGPi5z4++9Zi+xK1fHfB6Dx8SIM2bYcQ7Ytx4M/vYtPep6HpweNwZK2PTD2t1J8nBMEuc6B25ozw98jDutAWqAa//f9qxi55gc8edYNWNK2B6YXAPPX78J7WY3RnEiu69NOqsEghnRuhvt+fh9PDB6LFyqb41IiWpy98Hm0jc+fORoAMHrVd2pexaqb6PHHZi5EX1U1kJxCPNcm1zUsbDr0s0wJVqPD0X3ocHQf0DwVuOZZKH98jj/f+RSzTj4bH/c8H2uRicu/2YUXOp+Jizf8QmvONNGaANQxNZWOvu+790/UryhDCWtNVF7saM4YDNm0BG98+TheGXAV1jTvCAU+fHLKMPxz4NU44cgeHCkPW4jU8qle6aHmjJfU1FT06dMH8+fPx/DhwwEAwWAQ8+fPx4QJE+LbOBOkcOYmwSA9PIxUc1aFO+2vWw4DDZtjV8PmGDfiEaRXqVqos7avUKNtjFi8GNixI/pdVDhjvU2ZqNZ7UlngCYw0Z+HHUVEwZehf8W2XQUitrsKkBe/i+hVz+J1R3UJzfuGJP+pz5l57MlP8uL5vSzwxfxu+6nq23qzJap7Ph5mnDAMAXLfqO7RM1QutWrPm4lbdccfF96I6KRlnbl+Jqd+/hnbH9qs7BALA22/Tfkc6n7OosEZO2m6gAKhISsbtl9yHipQ0nLVtOd748v+QHl7zkJHnLLOqAm2O5UfM6EbCGeGoCQDYkZKNK8+4EgfS1TfmgTt+x5Bty3DKvk1oe2w/mpQei/rXKQrKq4I4WFyBzQVFWPb3BzCn85nY0yAPj6EBVlxyL/75zbNIUoJsQcfgReSkgzsNr0VqsBrXr5yDfrvX4qprn8SKo/XxVrAebtNeBwdEVwMIm+mJbZTPGb0/APTcvwmffPogvu94Gh66+C5saNwGN14xBf/+6N6o1i2J1pwhEACSk3H9im8wo8/F2JfdDHNPGmh6PuE69+Y0w/JWJ8MfDGDC4n+pP1ZX0+OPTc1Z+AzDz7WRaRxAVNh06qDOMI37fEDXg9vRdcF2/HXpvzHp3jfxfUV93HHxPcgtOYJ+rGhN8trVq6cmySVIUoLonr85ssYsd88xMKfqfuM5PoQPwLDNS/B117OwpnlHLG3TDd92PhMAsD+7KVAeFso02mj4EkI4A4CJEyfi+uuvR9++fdGvXz+8+OKLKC0tjURvJiJy+SY30Zo1GSQFA8g5XoztjVriz1x1MWEuYeHmm5n1iLbLaBvZhhONBEWdzxnNLy/MwMe9LgAAvDprGm5c8U3sBTNA53AbNplF0yC426ZhJ6l+IatadkaZiQIsfI1LU9Lxc/veAIARa+db3s+APwkPD/s7qpOScdGfP+P9fz0aFcyAyGAfnbRB+JwZR2a6FxAAfN3lLGxv1BJNS47gpW+ejQpmgGGes2YlR6O7GJikInKkz4fypBTc2GoYDqRn48RDuzBnxh2Y+dlDuHnZLJy6dz2alR6l+pvP50NGahLaNM7EOZ2b4YGF72PBm7dg6n+nI1UJ4tsug/D0oDFq+SztC7EGJNm+ZqXRdhvR5eAOPP79qwCAV4uycYhYFNq1aM3wdyjMLh2N1NU861An269WvoemJUewoVl7vDLgqug18Pl1mjMkJSEtUI0r/5gHAJgTmpwj9etbCUBN9gwAvfZtjC4/pRXOmKZ/ayIacR/HS5dR2gtRSFcVRlmNjxfhtZx9uLh9fQT9Sbj7wrtQHiA0ZwqAQ4eA/cTzW10NvP++rqwTiJUObJk1XQoI0P4WFswalx5j7hZ9ZuGpWVOEq666Cs8++ywmT56Mnj17YvXq1Zg7d64uSCCRkMKZmygKc0AkhZhhmxZj9KrvqMO4JsnDDjLZax+4YFAfSUq8yZEmDt1xJnnOpi9Tl3Mas2IOhm79zX57naIZlCK+Kb5otKabdbXJTkXzooOoSkpBWdBYGAqzoENfVKSkod2Rfeh8cIfl2/yczmdga+PWyDlejGlzX9YLvGHhjNQyGQR8sNbWdIri8+GdU4cDUCMDG5Rr1lk1EM5IgYd5vSjNGfB+n4uxPTUHueVF+OSTB9GtQL/2pXEj1YKSlSCuW/0fPFfxOwDgrX6XYUeD6NJGOuEs0tbo9iRO7cvFf/6MHtk+HFf8+KLbUE+ue5hIuyltlrkZv3VSFf7vv9MBAB/2vhAlqSHvM79G4xHW9Ph8GLpZDbJZ1LYHKpKMJ95wM45lqBrO03atif7okuZMuwC8ac8OENGzTtBGXTJIgoInTmuCFkUHsLtBHj494Kf3vf9+5nFamhcz8heK4kJAQBitZvKDfz1CfY8+w7GJ1hRlwoQJ2LlzJyoqKrB06VL079/f+qA4IoUzN9FGazLILTmMs7avpLZxvRXZ8R0w2m/DBnX5EoJDxALhTY00A1qzJlH+n03bYUnbHkgKBvC3pZ/ztc8rNMJZJFozYv5wMfeOot7xkw7Rpi6zXrCiVRcAwNnblkfzHmkg+8SskC/b9Su/QVblcd2+lD8LYJrnjHQYd57nTD1+e8OW2NCsPVICVbh29Vz9jjzCmcHEGt5e5U/CW/0uAwDcs/l7NC07JtZYzTW+uHIfzt66HEF/Ej7ofSHbREcIDVSEL2f/8QG4uoU6Of33pAHMsuwQFUrMtUFkwACTjAz8ZctStDuyDyVpmVjYIbRqiN9PX4/wtUtKQtcD25GtVKEsNSOyNBpPtCb1fLikOdO6K5iaNcMvozEQzqAoyErx4dYl/wYAfHIwObJCgA8KrTUzIY96SY6z5iw1leq3rY7l4+QD25FzvJi9PxLLrFkTkcKZm5B5zsjtRIfPLT6CTgd3UIdx+RM4cezk2L8gq3Hks2GeLSPNGXz4Tyd19YK/bF5irHmLFRqzZmQQD4WEu647CgbR8ZCJz6CG8FI63fO3RI7XQrbx15DfyQUbfmUXGAiENGeEuUvncxbNteX2CgE/t+8FAOi3ex1yKhhZ8w3qIyd104kVwNLW3XGoXkM0rj6O4fv/EG+ktvxAIKLB/rbzmVETIbkbZdYkNGcCwv2Qxurxq1ucRCUWdgOF0IyZ5Tkz7O/p6fABODe0FuUvIVO7z6+ZFgjhzA8F3aqPAQA2NW3L3Vbq+aiqckdzpnmuTV+63BLOeHy4QkLRpesXICVQhY3lfmwvY+9qhq11f82EMyeas7Q06tnoHJrDcok8bGSQZgQpnNlGCmduQpg1jcgrOYycilLkESprYc2ZQHt4j42YNMwwyXMWnqDP2RJHcyYJ5XNGaxrcNmsiGESbY/nUZmYEm+Y+dD64Xf1gta6gz4/6FWU46dAu9g4aB2MFPi7HZ6ciWvgcf29+EgCg75717B1N1taM7MKaWIlzWtKmOwDgrNI9SLEjXDNM+2fsWIXU6ioUZDXGjoYt9MfcdBOwRRWgSW2ZlSBJkpeqoLW/EorPj7W5J7DbIkhUC2puQrf6PUxvzULbOuEsrC0KTbSdq47R+7Puh6ZztS4kno/qavoaLFtm2j4jou4KHOfppeaM5TaiKMipKI08E78U8t0LkhzCPcD2s+rW3JKSQt3n8FiUayJAKh6n0qjtSOHMTZToYsN0otPo56yQZqFF0UHm72Zl22kP77HahdSZGERrViUlY30zNbih3551Qk00ZfZse8dpFlKOmIH8HL4pdlAUNBY1swFofYxYFkuDdjDuemCbcXCFiVlTy/6sJq5rzsKJMiOaQC3hBLB//zvwxhvRzZSp0MDnLMSqlp0BAKcezzeNEjSEsSB5eqAKPfI3UeVTfWPxYuDnnwHQApmQWTwYRPdy9UXsAKGddoNS4oWKdf1IzRqTkMBystZ3z0RzBgBt9hjcZ4porWlVFahPmuO1Zs177+Uoj1WD5rk2G+e2GGuphdAGBCgK8OST9D6ExurU0Hj4R5m4Bim9WnCpvHDdjHbofjM7hkVSEtWG8PyVTWjKtak0pFnTGVI4cxMDlTdrEmpI2Oo905yFYS3QbIeyMmAPGUGk/j+SmYPK5FRklZfoNEiOSOUQGI1g+ZzxRHXZqScYROOyQmqzVXRkzvHiSK4sK58zAGh3dJ9xGyIBAfpBVomY5dQ6DmQ1jqwh6pbPWZiOhw00e34/8P33wGuvAc88w97FKFpT871Thc3lbFjaDQCdD+zgOty2cFZVhROXLaA2ueVz9tMJambQiuRoHkRmMl2j+xwSNFoVHUBqNeFf59cUohHOWv2h0XQx+3qUJmWF9H3UCmd2iZg1OXzO3n1XXQTcKdpUGkuWsNsVaku3fFXw3VclPtWmVdnwxdOOARyrYnALZ8TXhuGcldT+IeGMfHmSwpltpHDmIkowiKMZ5hmLw9224fFC3Tbzwh1ozjp3Fj+WBZnOg0HHw7tdS/AKgH6DF3nIdQEB6uf8rCZutYyuKxhEE43mzGoCblkUXcGAZ6LKM/PjC/mcRZrEMGuy7oubGkR/MEBpg+mKfMDRo+bHc/bvDpVFes2OEfv3A5tCS3IxfM4AhtDLYXYVMWuisjKqIXUJrVBcnpLObLdlK0O+Xj4ATUsJ3yELzVmrQuvzIefnJtqUC1qfM5KxY9nbWXWE/oefaz8snqNXXnEuoJGas99/B1as0O9DjD+GrggcpFe7IJyR3887j30Mjx9dUhJARDeGhTOz8V7xQQpnDpDCmYu8vbkMI0KLOlMB7Yz+Lqw5s/umeddd9o7jQDu5uz0JUSO8iBZNMyiFr+/enJDGyAuzZmmh5W7kfaYiYi0CAgCYL4C8Z4+qOQs3xxct0yzPmVPIPt68+LDxKgcGwhR5joYrBBBfc44Xo0FQb1Y3pEULoFMndSkv7TUOTbLtzTSSZFNIYV/kWQwE0KrwALXJVZ9HDVRAQNgXy6i/E+l0yJxz0K66EBZIQv5Doi8iOpO/measRw/2dga659rquj77LHfZhmiW5MNtt+n3IcafFkUHrc33BqQRwlmVSdoSQ/buVV0JwhhFxfK0KSmJ0qg2ZERphq8/ZdaUPme2kcKZizRLI/IOGXZ4dXsDqnN7aNZ88UV7x9mA541aCHJSFzVxMoQzo++OUBSgqopy3lW3mx/W4DixP8sspNmUayacLVoE7N9PR+zpNGesOty7Ds2LDbRmgLFwRt0jI4Enuk+z0iP20gNs3Gho1mymua5GggatORMTzigtqUeY+pwZXS5COCMdu63Mmrq+zmoP8Vm3v5Fwpu0nH3wAFBcDY8YY1KF9rl1MkWOEVjhjQfTR1GA18pLttYvUnFXw+ASH6w5z3318x1gk1gWg3nufXjhjum/IaE1XkMKZi5DCGQnb56yI2MZRuAeaD6doH0zXJyFysNauL2qGZgLXrk/nqulVUYCRI+GHQvvtmKw3CAANygnhnEMTo/Vp0/Hrr1Qi0uPVdP1CpjhOyPvfsMxk3dRQAlMzeDRnDcuKVPOoExN/mNA1b8i53qvdVBoIBDQvYh5obgGEhdhwkuHjyWmRDsejOSNNjzqzZvjcQxNtSjCA+hXR3BBWec505jlttGYYbb3XXQfUN04/oh1/vOjjOniEs7Iyar8WKdb5/FikBKP3pyIpNP7Vq2d+EHkNSqyFaAB0QnIT4axMid6f8PhlFPgW3iKFM/tI4cxFcknNmcVDmGYxkeuIkXCWErC7zh3QyGyCtoNdzZnGEfaIxg/QVc3Zzp3A8uUAgLRqfpMbpU3gMGvWYyWfJamoiJzXG/1HoMe+tvhoyc6og7iF07ZTdKsCkHD4iPFooxodL1KjJ8l1ZnkxMGs20ghnRi9KdECAQP8JBJBVWYYkjoXteTEbL6qSknHdVVNx6oQPcaheQ3V/o/YSk3JmVTlRgaZnaFJpAEBOud6sRTeSiNbUCmdGPmdGQrxB+wMa86s3Qq+2Uo77+MQTwMCBka+NkuxpzsgrEdGcdehgqyxTSNOniXBWpZjcUwLf9u1qUT5Is6YDpHDmIqTmrCyFHeYe3iOZeCviGuxjJJyJOKFqh9EGVgO2KORA7UBzFl1TM1Ssm4P43r2RjxlV5qHv5LYcK82Z5vgMK8GvooK6H1XwYeqc9aj2q4OjFxMXWaapBspg0jVa4oyuI0qkjiM2IjYNNGcZVRVIq+IRqknhTGCyra6GD7Qbgyf+f6E2/XBiP/yvXS9KW2yVSgPQpG3Q3iuNWRPQnI+Fljhd23d5zZoWFGmS+iaM5gygEus2IIQzu/c+IpxZCTs8kZdaPvrI+pikJFSDVD6E/hO7R1JphPzw/mh+Et47ypE/U8JECmcuUp94kaskwtvp4AC1AycTb9Kep9IQgDTNiaI13ziGHKwFB27yemnTC7g6iBODtYhgS/mccZg1M6wEiIoKXR+pqA5ie6OWAAw0Qi5eB1M/pHfescwCb5WEFnCgmdWmFACI3HC09sx1n7NQPZaaJgGY40Vo0+8tOun35zBrUv1LK82xhDMrvzOiDKZZU0Q44+ynri7LZoSNwKwGfufPWcSsaWUmtCOcGR1P4veDJZbSZk09myul5swuUjhzE4EHlxLOEsismRYQ0ZzRbbIcsEUhJ2cR4cxCc+bqtSTuOTkJWZkMKTMlh1nTzIwAIKQ5Mz4v1sTlON8WcbilYP7mm6b1G2vOCG1jhYP+ZZBKA+BzcLez8DlZTwM3sr2bHG/2gsdj1qQEKA7NGelzZtXGdG2+rvJyVzRnOhJJc0bQwE+O9fYoT0lTP3jtw2WiOQtyt554rl1OeF2XSAjhbPr06WjXrh3S09PRv39//Pab+RJAn3/+OTp37oz09HR0794d3333XYxaaoFBx6bNN+rnlEC1bpudsh2jcTCNDKSZmcCXXwoV5bpZkxyIRB5yjXCmzYjvqonvP/+JfLTK6E3WS5l6mElo6e+WmrOqKtPAEq/9cSwFp1028j1p7luaA62umXBG+X8a5jnTB/VwERKAeARAR5gJZ4KaMx6zJvkSx+7rUXRmzUOHPNKcJahwZtPnjCSiORMxa7qJxqwZxsd4LqhtTgXuOkzcr9xnn32GiRMn4tFHH8XKlStxyimnYNiwYThwgB35t2jRIlxzzTUYO3YsVq1aheHDh2P48OFYu3ZtjFvOgOPBCHdcKuKL53ny6qHr1o362uFIyIfq1VeBNm1MDyUfwrSqCntJE81wQzjz+/U+Z25eytdfj3wUOX9K0OC4t2TklhHkJNypcJ/mN8b+jq9DtABL4dHmGzR5lKX20AwDsybApy32OUilAVj7I4rA9mcMUp87HiKSrRpVZyicafZjBASICMq65+LQIXafd6hlMVzezE1sCGc5Puc+ZxHTu4hZ0w5GWuGkJAOzpjm6tCwSbuIunD3//PMYN24cbrzxRnTt2hWvv/46MjMz8e677zL3f+mll3Deeefh3nvvRZcuXTB16lT07t0br7zySoxbzsAitxmJqeasc2ed0OSZcNZJ9VH5ZOYkXPjnz3jivy9HfxN466GivdzCiXAWHmT8+iHbKy1SGmXWZE2g0c+pZFQsh1mT5+zJgb/r7g2Gv3lBqo0oX0vh8PhxYH90OTBHwplBQIC2XKPr7CSVhrYOr2lcWkitKMGjOaO1W9aaM/J+W/VNnXB28GCd8jnL9Nlv15v/nopL1y3ALb+FrBhWwtm//227LlOSkhBgrg0WJdzPqL20LiUSbuLqrVdZWYkVK1Zg0qRJkW1+vx9Dhw7F4sWLmccsXrwYEydOpLYNGzYMs2bNMqynoqICFcSC3cXFLpvfwnA8uNFoTZOAgGBQPyB5NblmZAA//ogBQ4ZgwO41REN9lsIZOeinOUjBYYhd4QygcjMFtSH3Hl3LdAHtCDVZW6ytmcJ56uT90K/FaW5mtQN1/22YHC3rLyqC78gRoIW6PI+QAGj1/BAakNSAtVbSr9jUfoSFs4Bg6hwTrBIKNywvosyoPD5nXGZNwqRmJWwamvABNRUKKx2KQxOYlysvRLChOUsjGiZ678/dshTnblka3WBl1pw6Vah8HYKaM3YCbelz5gZxFWsPHTqEQCCA3Nxcantubi7y89kLaOfn5wvtDwDTpk1DTk5O5K9r167OG8/C0OdMvy0paOIkGgjETjjz+YDBg9nbBQZLTzQDpHBmNyCAcZxv2LkOG8bG2qxJTFgBc+GMKpfTB5jsR9pliZiJQl3sU5b332IQNzmQqMOBcGZm1qw2958CEktzZnXdGh4v1qS6MGDPnshHU7Nm+FoR6Wws/fSITdzn7lBzljArBGhIs1rzUwSvAwKMzs/A54yE+dIgzZq2qRM6x0mTJqGwsDDyt379em8qMhLOGCsEkD5EcdWcGb3Z8Ahn1ACcQJozK+Hs1FMdNoyNSLRmWnVVtG1MsyZRbhLfuZP9qP2RvdRvXph8fCITsAtv0CKRxLprymnWNIJaW9OpcOZFnjPic4PjxVRwDo8QTOXRMzJFZUZzp1ndC0pzpo3WNDzIoc+Z2XkKrNlpyq+/Ch9CCmeOtXteJ3U1Ec6CrBc8chJQ9NtkQIB94nrlmjRpgqSkJBQU0GsyFhQUIC8vj3lMXl6e0P4AkJaWhuzs7MhfVlaW88azENAEJAdMUmkEg9aTi1s4Ec4IPNecOTBravHqXU5nvtHVS2qBKk2FM5I07rfPaPmNyoqo1R6YAQGcpfJgx6zN5UdHnBNXDr60UMoBIbOmtcmRWqTdRioNN83+Vtet0fEizYuC9dhBJ6ENfXjySSA3F3jqKfU7Edlt5V9JvbjxCtVONWdG5zl+PDBoEF8bPCDNTR9XEc2Zm3OGUbSm1Zq9UnNmm7gKZ6mpqejTpw/mz58f2RYMBjF//nwMGDCAecyAAQOo/QFg3rx5hvvHFINBm/XmmqxEJwfdG18sNWdmApiQz1kCCWek5ox1nKig9/77XLtR+a8Y9yvg0zhUm2nOSDMa51NKvpWnBKup9S5tmTDHjjWvTytsegyXgBM+TyuzpkEqDSPoJLQ2fM4EtKp2oFafOF5Mu01wtJcUOCN+QvffD+zfD5xwgvqdEM6s/P/IvpHMu3SV3+9Ie2Z4X5KTXdHc2oU2azocx0VWSnETA80ZCVM4lj5ntom7znHixIl466238P777+PPP//E3/72N5SWluLGG28EAIwZM4YKGLjjjjswd+5cPPfcc9iwYQOmTJmC5cuXY8KECfE6hShcqTTU/8kBk8Vma4pZkyDhzJpLlhj+LPwyd8EFggewBypy1QjKrGmRE81nYzpPCgZQj4igZS+xY9GnLO5/0Gz9RF1l5jmSDA8T9V0yEs7MzJoBa5Ojc58zF58Pi+tWv/I4kgWjCukIOx/7M6U5M08Fw1oVxRKvfM7cEM5697Z9qKs+Z+efz7+vm4KRUSoNpqmT+CzNmraJ+9oKV111FQ4ePIjJkycjPz8fPXv2xNy5cyNO/7t27YKfuMEDBw7EzJkz8fDDD+PBBx9Ex44dMWvWLHTTpp6IBzw+Z+EktGYrBLACAvbvd6eNusbZF86oPGeJFBBAwpw4BActzkHOyhepMikqnKUGqoDUdPWLjfB8FkHiGiUHA1yO7qZYmFCq/ET0nhfRuhq4ojVtCGc85lJ64XOxtTUBvqADZ9BabNOAIwZ0hJ3BTgZmTXZz9H62ljicyE01Z9XWEbmmNGli+1BSONOtViJK06ZqmiWevJ5umzW1xfXuzfSnpvuSFM7sEnfhDAAmTJhgqPlasGCBbtvIkSMxcuRIj1tlg2AQrKHQMlpT+ztLc+YVbmnOEi2VRhiWcCZaFOd1oLUF+t9J4SxJCUYbYhEQwEuAGAiTlKBlRJ3lpGlx3pHFmGFXOOfQnImaTnnNmsuXR8vlyNnls5tKI1Svm2Z/K41nWnUV3UYeDSVZptEDQgpnAv6M3OkjjOp16nPmhubMJeGM1J7bpkED52WIkpSEgPby9u8P7Ih+ZfYD6XNmGynWuonACgHJQZMktLEUzhz5nEVJuIAAE4RL4hTOqFxYjImiQjswcwYE8J46KZwlBwNCEXVMLDRnpLDJ7VdE1s/RxxXibrmqOSMQ1Zw5NWu6uaYpa1t6dYVlX9QfzyGckdGaVnnOKE2jQ+GME099zhwEkaWSwlmSQ+HM5wNycpyVYYfSUr1w1qCBwTNMaM6kWdM28sq5CZdZUyWFcEhWtOJCTdScJapwFkPNmdUkVKEdmDmFM15Is6Y/GKTuia11By2EM1Jz5tX7cTWRQJjLb4tXc0ZArRMZdn7X4Le7fBPDrOk1adVVmiTX1sdQmi4OzRkV4WrRt7j7ntE9Io9/4gmTejz0OQtHAdsgmRj/dS9oosRLOCsp0Qtn9eszfQvJ/iY1Z/aRwpmbCEyApFkzoJ38a4hwRg7KdpbvscQz4cwbnzPKz4YVEGBTOONtrU5zJpDugIml5syZVwTPeVFBFLyas717gc8+o7cZPU+jR9PXadCZwJAhut0onzMRYfpldTk0N6M1rYI70qq1Pmc8mjNGtKYWAZ8zn8WzwCQYtH7W7r3X8CfdS24YN4Sz1FTrfYwgroVjzRkAZGdb1uM6waDe54zoD4bIaE3bJITPWa2BI5VGNAktKZxpJsEaIpyReB6tGU/1uA3NGUtboWidY8PlHjtmXjDn+EY6G/uhWAtnVgiYNS2xOUhTAifHMksAgK5dgaIiepvR85SUREc2GvR7W2Y6Ak9eXgxIq65EOaXVFIuKNYSYjMm0MezybQRQ8GjOzA436mMJJJyR2mZb+HxA/fqW9biOouhjTjMymEK4TELrDvLKuYmA4y3pc6bTnAUCrpm6LAnXzXoLEshzVrM0Z4JlcAcEmN9/3eRhkkrDDtpIMDogQL+/81QaTtdC9Ggy0QpmgOmagSQ+gNlBSAFDyOeMcbzt8/7gA8PjyW3p1ZVUG/nMmmSEnbXmTOgR4j3dQAC47DL1c79+7H1MHl6lJghnbvictW5tWY/rsDRnGRlgrtmrcPQliSVSOHMTgYeD9Amp9iWA5mztWuDRR+ntAm89pLDpGl4JZzFIpaETfP79byhaTZTLb5VaIZ/ypbKzfJOF5sxQU8HCZn8mJ1xHw7yJ5kw3wbByshGf7SyFZcvnTwvnEkRpgUra50wwKtbQT4gQzui+ziovCvf1CgSAFi1U4XrRouh2nmAFmLwsuCGcOVnTkngxcJxKAwDONVgb2Ma6n9wEgwhob6PGD4/50iGFM9tI4cxNBPKckV02IXzO2rUDtOlMBHzOHK8Zx8KraM0YpNLQcfnl+jd73nI5G2yqObNaZoWFxYRkqKlgNo6VLkSs0zjStJlE8une9Bn3xXZAQLhcOz5YWkL3w9rnrEp4hQD6+eXQnFmVSZ0vJ+E+kpVlSxjy1OfMyYsUcS2EnhkWPh/QuTPQqpX+N6e53MwIBPQBAenptPO/5j8gNWdOkMKZm9g0RSaMzxn5WVGEBiQvFtb2LgmtILxClIXpSreJ95zS0oDRo4F77jHdTac5oxKf6ve3vA6WE6Qz4YwHstmOUlCYmDV1Ob4sJhQ7WjBXNGehRa+trroaECC2ZJC4WVPvR2tUnmOfM6rgOJk13RLOnLUieh7336//zYlwZrWgenW13ufMIIKVKy2LxBIpnLmJkeaMSgip/z1JOygFg8Brr7nYMBPIQUdQs0ObLjwQJsn6XRTO/KIDBrdwRlWsb4rNcgEAH34IPPOM6S4BjeZMdPFrHRbtU0Qu4+7duk2iw7YnZk2/n37798HyvG2ZNSHmA8bERFjWLnOVpAim0iA1XUZmTSLPmdXzzgqCsoTHLGdq1vRQOHNJa+tYc2aGVjgTaTOHcNYgVdP2zp3pccWNyHhJBCmcuYlgJu6/LvkCg3euQv/da4GOHaM7BYPAJZcAs2d70UpNg9yJ1vREc0YST7OmS8s36Q/w2qxpnufMsVnTYVIIvknbpftu4nPm0+jnLDVndrSAbry7hDVnFtctXaM54xPMOfYx9DnjF9RMSeRoTScBWr//Hvmoi9gWxew8nGjOrBZUr67G+2c2Qvf9m/HJzNBa161awdesmb6JlBbWfpPqOjKVhpsY+pyxmbRwhjpwKEHgkUeAMWPocmKRbNDIrAnEN32FFhcDArzCKpWGDpdHLq1ZUyRRKBNLzVkNGnnNzJqKZjJhnDcpiPptSFq04O7M54wFee9TA1WaaE0xnzMus6aA5oxbq+7Qod3TgAAnwtknnwD3j3JWf5jwebDORyuciZwzh3B2SuNUfPPBXdFtSUnUslZMX0iZhNY2CTT71gI4HmDdoBZ+oDIyGDvHoGM7Ec6oATgGmrOVK10qypvrygr8MMWNQAMCrVmTmqBP1Ge+d7p8k1C0JgOnyxhxoyjAuHHs35KS6OvL4XOmc0PgwE2fM5ZwR94LfzAovvA5z9qahFnTKhjIdhJaFtzXLkE1Z7HK6O/ErMkhnLFgXVZacyZFDLvIK+cmHD5nhkMESziLhebKyOfMLCCgTRt9MV5rqHw+oFcv4KSTxI5zIyCAE2HtlOupNGhhironLVvq9ncerVlDhg9FAVatYv+mO0e2cEal9IhXnrNwtCbjcEWTgFhUgKT6ipEgQy4PJhCtyT02OBxDPDVrOtHq5eY6q5tERHMmgpVwVlXFrJOKzAzfPrIrSc2ZbWrI6FpD4EilYUh6OuPABNWcde+u7g4bA7AZrVoZJ1gMt0X0mthJQmtTaBJ2guZMF8B7ylqzDpX+wc45OcntxAPHNXLFdGpWjyaVBgDL+28nCa3uLMaPFy7D7H6QZ+BXgsLCILkPz5NspSn3CeZZA8AeAwHnPmcpKfHVnLn5EuaVcMYREEDV2amTvmmx0oTXEaRw5iZ2zJphEsGsqd1uNKgwl7dxwax53XXAlVcat8cOPCkttIhq50IID07cZk17AQGUsMiY2C1LNWtfTfI3M7vhmiS0Ph+Y50YLP+KTEJVmpWEDY0HEjEgqDZZZk9ZqJQk47Ov2Mbu3V14JtGih6TuM8oPkiwrn2GDnmlCtcEFz1rYte7sT4czL5LAkTsyajGhqXdnkNVyyBAB7DOFKyyKxRApnbsJl1hQQzmKBHc1ZaD86AaELb00+n/GAYvbGKIhlS4cPt1UuKyGj+QEuDVyhcrQBAVzpEcww05y50HaeEpxGhKqFmAtnuhpYAQGkT5fjFQJM+rkZZpoz8iQUxZHmzPTefvopsHOnteaMtXzU/PnGmnHAO80Zr3DWqhXw9tuO2sDEzeSwXkVrWgmQgQBdd9jETpn7Feo/gMQKKqthyCvnJk4eYIdvjbYx8zkz06ppixE59/PPB/7yF/Zvbgtnovfk/vtdGVC4zJqNGzuuB0BkoNQGBJBRhb4kxjlZtdFjzZlna2tqsRLOtD6hTM2Zj95HEF1EqB1MUmlQ0aSKYi/dB6MsHT6fagp+773oJtb1JeqPCHJNm5r3KaeaM6fRmrNnM/1pATjTfrmpOfPKrGkUMBOmXTvzF3kDpObMPlI4cxOOVBpCZs1YTF42HriI5syuz1lKCnDDDezfjCYVNzVnigKMHMn+0cECx8Lawyuu4CuXPOV58/Q7hCa8oN/Y58xW1JTHmjMehBLdGmEmqOjynEHs3P71L67d6PQbNk/K1OeM1uyJp9IQU/v6Tutv+juzOL/f/No6tB5kVh1n/8ArnIUETyZOzJpeLqvkVj1nnWX++5dfWs4VPs1/dTcpnNlFCmduwhEKLhStGQsEtGMAgA8+MNCcCQ5eVg6ougrsrxDw5Yd3o8+e9fT2zz4D8vL0+7sknFkKavfea8/hfuhQRsUhs6aZzxnLT9BJKg1XzJoJoDnz+7nynBnSoQPXbrSgbNEmEnJcMFm+iTa7euhzFq6DNGexymel2fH77WnOOK7V+Rt/xaXrF7J/FBHOjPp8ovicmZ3H//2f/XLNnvW8PNUPlyGcUZvC60bL5ZtcQQpnbuK2WTMRNWeDBkUGWKulO0zrJEO3wwPD6NGemDV779uID//1iL48IoFiBCfCGTkmWV2PYND1gUtn1iQnaIbPmWWi3ETQnMXD54yZSsP4eB5smXCnTwfIDOzh545l1tQIS35qhQCO9hmUZYSVC6PCilw2CzICbJs1/cEAXps1DSlBAyHIDc2ZEwGroMD+sVrMxsGvv6a/i/Q5s34c/s2OWVOm0rCNFM7chCeVhtEDk4g+ZyySkpz7nAG0cLZ4MXDwINCli2cBAdztS021XYeQJsjMp0+4YrUcvVnTYUCAxz5nYU1H+yN7HZdlikAqDR/APO+Ohwyi2bjXXeXQnrPK5tTYkM7wvosvdmbW5GghGUHMzLvGEs6szJoOAwIMibdZ0028eikyE85YaYwiri2MgAAZrekKcvkmN6lf33IXwwmcpbFJRM0ZMcCSg7LwkjakcJaaGtViWQlnNiGjx0wva1qa/UpE7pebg315OQAg4KMHWNpcx/IRia9Zc8jWZZjz3u1od2y/47JMsUylQeJjnlvTsmP46c1bUK+yzOJ4Nrokrzx9xedj9hPWfaM0jE2balYIcN+sabULKZxFxgYrs+Y551jWy2yL1Q7xNmvWBGwLZ/q+ZTXuSPiQmjM3ufZa5mZL81FYW3Pdder3q692t11mOBDOqM0iPmdGZk0gJpozxWyycsvnzEWzJv/C5/R+fqeDpMdJaH0Auh3YhvqVBo7cbmFp1uTzOWt/dB+alR6jN3JqzuiFwjlJSuI2pyma55jsf4ZrTlLtI54PrmHA3OfMUHNmdr0mTmRvt3iWLJ81EeHMaKmlWEUWW+FiYBSFTeGM3CbX1nQXKZzFGKagFtbWvPEG8M03wDvvqN9jrTljbf/wQ6Bjx+h2UnNGCSOC9ZLCGTlgG52z3RUCQlAZ0M3a6sSsKXINBO4tb2ualBVqjjM3pVlqVBIgCa3nKwQkJekT35nV2ayZaoYPY2d9VN5zSk5mCmfsVBp0+WmBSvZvRlAvLzxmTe7iooKfmVkzJcV6CSHDtrgonKWkqAlZL7iA/i1WiWStSBSzZsSEqYfcxgpEkvAhzZoxwHLwCGtrMjKAiy7yvkEkRpqz8IA6erSq5bn+evW7wQArtEKAmebMKpWGTZg+Z6xtXkRrstrups9ZiKnfv4qK5BTctGw2AK22xqQPTp2q3teHHqK3J0BAgCsIpNLwAebnlpsLNGgQ/c7tcyYWPQlAfUa4NWe072iz0mO4fsU38F90IbI4NJOOojWZq3AwngWzgACzOmPpcwawl5Fr395ZG9wmHpozMi8ja//wbUoULWMNRwpnMcByhQAjP6dYdHJyojF64LUZnxlRY8IBAaTjLY/mzKE6n7zupi11sA6foXmF5WTsgQ9Li+JD+OizaFQqZdZkNC2yrUMH4LzzElI4c+UJEEhCCxOzJgCgsFDcFQCMFQJ4SE7mHgO0Zk0A+McPbwC3X8h1PNk/eGoUsVb5eFNp2MRSYy0qnGk/L1gA9O8P7N8P/POfdproHvHUnDVurFp20tKiaV3IS8bqOTXpJS7BkDrHGMOcwJ04oTuFzIjN8yAZRmu6pDlr2tT4GN42sg4nPpvOd6L51wzqoFppJJxx+5zZa4+V5ozaxtIYJoBw5gpW0ZoimrPkZFrA4PY50wiAPBgIZ6wxJAgDwYK3jwlqzqjqGD8rQcaLm5lw5khz5qJZk/X5rLPUSNKXXrIuw2tEnju3UmmQ9+yii6jVXazcJWrSMJFoSOEsBnCbNbXEQnNmtFyJ0VNFmTVtpAcIY+Rzdt99wGWXAZ98wm6PC0+7aUCAgzd7SkNK3ruPP2Y0wn2zpr6O6EfTPujzsV8Q4uVzRgizQj5nRu211JxxlhPa3zD9jAn09ffxPdspKY40Z0LtE9Ts+S3KNQwI8ADXAgJqEk7PZ/Ro+juvcGbSjujamsTPbuQprKNI4SzGMLsqj+ZszBjxyniWB2rVKvrZKjgA8N7nLCtLXSpEG7HqxcDOOl8DzSBXcSwB6PXXVWFTSwwEbz9r8WkCKjkoS7sXL82Z3dUyeMzyWvx+vdbI7Ny0/cOOz5mI5ozT/K0NCBCtjNIscxxiKZyR+zoVzmLtc6b9nEjwjNFW+/7wg7rSC5ng2KZwZnWVEvUy1gSkcBYDaHMXY6AxilIiB6URI8QrZmlstJATISsgQItRnjMnSWh5UjZ4FUKuxUn6CJZvoVHuu5iYNYn2NGxgXgGrknhpzog+KZRZ38h5XiDPmaVZE7ClORN+PgAx4SzGmjNyD20KF/2+xEuAB+jG1CZNgF9+iX6vKcJZbi57e/Pm0c9G4yDTQd+gzw0erB7PG9giGJEcs2XZajlSOEsEjDo/+cDZERpE31R5BiQDvxHhtTWNzJpGuGnWNBs7rLKYm0AJ4eE67JjaXIK8J35m/ibNpLlzJ62hjZfmjMgUH4tUGjoB0Kw/BoO2fM5srTcoZNY0EBg98jkjNWes1BtMUc/vt5dkWvRZ8fvpvlsThLOePYH332f/9sgj+m08wpkRIlo2wOIljbHJzmoYEh1xE8527NiBsWPHon379sjIyMAJJ5yARx99FJWVlabHnX322fD5fNTfrbfeGqNW28PQFymy0aALn3666ox68832TAKiAwxvtGZYc0YMwUKaAa0ZTUQ48xoHmjPmvTU6Nw/W1tS1h/QJ5Flbs00boGvX6HePk9Aa4iCdCROBtTUtNWc2hTM6yaum/F9/ZR9kEBDAEljdNGty7U8GWDMOZgrVHmlidf3Y56O1qDVBOGvWzPj68GhqWcdamUB5z5fTrMka/6RZ0z5xS6WxYcMGBINBvPHGGzjxxBOxdu1ajBs3DqWlpXj22WdNjx03bhwee+yxyPfMzEyvm+sQi1QaRiQlqWHcAPD99+LVOvHTMnqqDHyyhFXZPKsCsNrj9dPOc8169AD++MN0F0tTjkAqDbtOtdzaGqNBOl6aM8rM70I9FnnOdNF+Zn1AG8jBbdYk2qA9ZuBAYNQovRuCQCqNoEPNGQlPjZSPGlNzZiCceaAxZo495D3n1YbHU5IwCxDiEc5EzJos3BDOQveB3ialM7vETTg777zzcN5550W+d+jQARs3bsRrr71mKZxlZmYiLy/P6ybGDp5BwY4Ww8lgY2Z+iPicWWgEzdpFPvA8gorDFQJIFCsfJLM6UlOBuXOBFi10PzEnCTOzZix9zswEapG3caeN4qF9e+DPP90rzyogQGuGsTKxOTRrBn2cQoqQWZOszHsNEGXWZCwPZag582jtXB2k5swqyIPVhlgLarzCWRjtvk4DpuyaNRnCl0yl4Q4J5XNWWFiIRo0aWe738ccfo0mTJujWrRsmTZqEsrIy0/0rKipQVFQU+SsuLnaryVxQanfW2MTr65UIGAx0QsIZAJDaTh7Np4tPuaXPmRn33EM76BJQLVQsBJ8YpNKgfM5qkubsjjsiH3kiBy35739Nf6aq0L44aNEKZzZ8urj96ISiNQ3uoR3NGcezTAtnnAV7FK2pG3u0Zs3wNhESVTiz8yLFg13NGdnV5MoArpIgMz6wZcsWvPzyy/jrX/9qut+1116Ljz76CD/99BMmTZqEDz/8EKO1OVs0TJs2DTk5OZG/rqRfTYxhalcs/OwAWGvOjBYN9oLwCgHkJlHNWXo68PXXatoMo8WGGXW6ojkz+9FJKg1WtKaZzxlvubZaw6E5sxIgeQU6Nxk40H2fMyNHawBQFP19s/I5I/H7gYICYMoU0yZQPmciKwQw+gnT58xIIDM6l59+4muDAWSxTLOmqNO5k7awNmpf+BJdOAOs1xUGxMyaIpidr0nZrKOkkOYOrgtnDzzwgM5hX/u3YcMG6pi9e/fivPPOw8iRIzFu3DjT8m+55RYMGzYM3bt3x6hRo/DBBx/gq6++wtatWw2PmTRpEgoLCyN/69evd+VcebH0x1q1yroQq4fv8sv5GySK9sF1w+cMAC6+mJ0DzKwNXg+aTgICRMyaZ5zh+bn4LIQz4kf2Z9PCPWw7ofXgFmTsoij6+2Zl1tTSrJm6BJYJpgEBRhiYNS2FIZ776VDTQhbLSqXBHA3s+pxZvLwx79+AAWog1dNPR7dZYSei1i0UhU84C+O1WbNfP+GyfZH/nOOOxBTXfc7uvvtu3HDDDab7dCAGsn379mHw4MEYOHAg3nzzTeH6+vfvD0DVvJ1wwgnMfdLS0pBGJHotKioSrscJlr5Z2oSrLKweEC/NniyzARz4nNkZoBPFrGnSDiozdvizkZl+3Djgww/N63IIlYSWFa1pVYDZhfJq0FUUT9YdNSQY1AuxIgEBnJATVpDho8W81iIBATDQrtgQznhqtE6l4aLP2fPPA7t3AxMmcLQMUdeLt97iKz9MvDU+PNcmVpozzlRHPh+iHYYVremsVXUa12f0pk2bonPnzqZ/qSGzxd69e3H22WejT58+eO+99+C3IWCsXr0aANDcwA8ooXniCXUAefll632tHr5Y+qQxNWceEc67dc89hnWb8sAD6n9CI2u6fJMDsyYVlXvZcHUpqjPO4Kvnp5+AadPY+9o1s1JFcJo1KXtVggtnZ5/tTn1aRDRn4e+WflEm0ZpGiKTSiLXmTKQ9Tuts2RJYtAi49lr27yLR3mbUBM2ZyP20ui5m/YT8LhgQILpMa6LAm97rjz/+wJlnnon09HS0bt0aT4e1swSff/45OnfujPT0dHTv3h3fffedcHvi5nMWFszatGmDZ599FgcPHkR+fj7y8/OpfTp37ozffvsNALB161ZMnToVK1aswI4dO/D1119jzJgxGDRoEHr06BGvU7HEZ/AZWVmq6r1xY+tCrISzWD4FYc0ZKYyIJKEVeUOdMQMoKQG6daPq5mb8eGDrVnUZJZ7qHWnOiIJvvBF46in+9rZrx7efAJTmzI7/WDyEM4BfOHv9daBvX2d1KYr++bTSnNmANmtylmO0cggDxWgC90g4ozVnjPYYac6McNCfuI70wufs+uvFyjTDqVmTNT+IaKBtCmf0s6NQ/7W/Jzpkeq9169bhhRdewOuvv44HH3wwsk9RURHOPfdctG3bFitWrMAzzzyDKVOmUFa/RYsW4ZprrsHYsWOxatUqDB8+HMOHD8fatWuF2hO3VBrz5s3Dli1bsGXLFrQi13dENFqoqqoKGzdujERjpqam4ocffsCLL76I0tJStG7dGiNGjMDDDz8c8/bbxVamcCC+Zk2OuoQeQtHggXr16O8i+HzG/kBEJvoILq2t6RNNrOvzuW5Wocx1TLNmgmjOxo4F3nknWicxqZj6ZzVsCEyeDFxyiaPqmdF+Rtg0uVoGBBiZNRkwhaGmTaNfeIQzk3MUVkQxNWcGB8XCdOhGMEJWlvnvSUmqptss2EQUo74Vj2hNzojkmqQZs4InvdfHH3+MyspKvPvuu0hNTcXJJ5+M1atX4/nnn8ctt9wCAHjppZdw3nnn4d577wUATJ06FfPmzcMrr7yC1wklgRVx05zdcMMNUBSF+RemXbt2UBQFZ4fMF61bt8bChQtx+PBhlJeXY/PmzXj66aeRnZ0dp7Pgw9AfS6RnJ6BZ07bPWSwxu8YzZgAnnECbSxxoKKmUKXaEM6PdrEti4qnmzCJ9jRANG9LfeQUgn89QgOFGUQARB2ZtKg2qHGN8lHDGicC5KSeeSFQWA7OmHZ+zRBfOyLZNnKiuzvLKK8b7Wo0VZ55pXSdZXiJFa3KbNYlDwu96vIFIDikuLqZSZFVUVLhehza91+LFizFo0KCIaxYADBs2DBs3bsTRo0cj+wwdOpQqZ9iwYVi8eLFQ3QmTSqOuQEUWiQyQiWTWZFUvEq3pZIAmz/Ojj8T2D1cf/nDyycCWLcB110V/dGLWJCf5JBvrmro8cXGn0tC2g4fCQv02u+kZyHYoinpfwl/NRFOfj845t3u3rbp1y/8YLaAebl/jxsCll6p/TZpwVUPlOeNtm4FZk+nj5SfGhxgEBJAwFz4//zz9No/GKK4XQzuaswULVLcIFjzC2T//yV+fE7Pmli3ua844XxyZRZkU6yZdu3alUmRNM/LZtQkrvVd+fj5yNQvUh7+HXbKM9iFdtniQwlkMoH2ziAeQJ79ZmEQya7Kqtxogf//dnYrIp33UKDUdB+/+YczMWG7lOeN5k+U0a9od4GjNGWc7SESFxZCGWxhtPR06ABYR3wDUdvfsCTz3HPCvfwEa9wjeunUvFtXVxvuH10SdNUv9C187K80ZWYSRVkmLoVlTvy+laxQ1a2rGDp4ktNT+2joefBBKdwMfYA9WCOB6MRTVnPFgNuYuWKD2TV5uu82+5uyEE7wVzkyjNaP7se6DlyqD9evXUymyJk2axNzP6/ReXhE3n7O6hOGb3cGD/IUkoFmT2mQ1sLVvH/3sluYMAEpLxfa32sfvBy66CDDyY+Q1P4reD22agWXLgC8K9OUKQL3B8jpjx0MDy+oPAwYAM2aYT7vhtjpJwKxJQgufz1w4c0G7yfSjE/A5Y5ZJHq69n1266JfDIg/w+x2lL9EJi2lpxgKekVbSiXDG4zPodr+20pxlZNDVK0HmMlf44gt1rd6OHYFvvmGXxRLOeAICRHBBcxYJCIhR1GtWVhaXS5Ob6b3y8vJQUFBAbQt/Dy8pabSP6JKTUjiLBYMHR15tqa4qIpzFU3OmGWjC0IOiQNi2E7TlGLTNrF7TliYlAaecApx4omouEGka5YDPseSJ2QDYty/wxbdC9evbY+5zZrlCQKz8CLVmTUDcZ88uQVqP5YPiuXAGhbMcI80ZS7Yzyl/g8wGrVwNEnkf1AJvuFZztMaSqylFdXLjhc8aD2XXTCEs+RWFfp+RkVTADZECARzRt2hRNyYAZE/bu3YvBgwcbpvcaMGAAHnroIVRVVSEl5HYwb948dOrUCQ1DvrMDBgzA/Pnzceedd0aOmzdvHgYMGCDUbmnW9Jrzzwf+8pfod3IAcFNz5uVTctllwLnnAv/4h2FdOr8d3Q7EMW5qzv75T6B+feP9GYOWrnqtWROIDphC8Jk1mXcqDj5nVN2szyLtcbLkEqueWAlnLKzMmiwErhV3Kg2B86NK095P7b25/HJT4Uy0FzIDArSFvPGG+t8D4YzrKnnRV8zGZK1wZrSf3X7ghubM7OWQ16xJfg6/69XQVBo86b2uvfZapKamYuzYsVi3bh0+++wzvPTSS5hIaO/vuOMOzJ07F8899xw2bNiAKVOmYPny5ZjAm0Q5hBTOvMYsJJuMsLLCanDx+9XoQy9ISVEXj548mW4S8RD6rfKceTWRdugAbN4sVK8uCS1rIDIaNEMrUjCrIr/w+Glwmg5MBatPPjH8iRLOzFJpGCEinLHSkjghVsKZxqzp8/nMBQgXBGimz5lQuRbCEKtfhbVwaWmqKc1FzRmXdjocueiFcBYPs6ZVmRphyXJ8BMR8zsw0XXawa9a0cHGpCZq1MOH0XvPnz0erVq3QvHnzyF+YnJwcfP/999i+fTv69OmDu+++G5MnT46k0QCAgQMHYubMmXjzzTdxyimn4IsvvsCsWbPQLZyrkxNp1owBVD8PD1tduhj7NVkVwsLvV5MifvUVMHu2eCNFYD2QIse4qTkDgLw81RTJCjoQHR3Cg6q2jZs3A2vWAOcxotDMymHgqubs6quBa65h/mQrlYbd0VRrNhOBZdYMXT/TPGduCWciAQFu+JxZ7dC9u9iLm7ZM1v1cvBi4/Xbg2Wddn9h10Zo+n/FlMhLO4hkQMHIkcPgw0KmTWMVmPoE6s6bBfqy+ryWBU2noXAJ0v9cc6eyGG26w9E0DgB49euCXX34x3WfkyJEYOXKko/ZI4SzGRB7SJ56wTnRIwpviQSCruFNolXacfM7CXH892zGc9VavbSppqgpfZ60v24knWk6YPk5thJ91DnYXheZsD9PnLPojuwCR9jgRzsjrH2ufM41w5gP0wlnr1tE0HUbXRMSsyZqwyLHg99+Fzy1o5IQd/ty3r7oEUqQRxP7aiV2wG+rOR1GMtdOJ6HP2r3/Zqyc5WdVCHj8O/O1v6komYXTCEke/EUmlYWcfM2xqzpiX2uJ3CR/SrBkDmG8Por2WtX+XLtHP4Yfz6afVteieeUasfIeYvr2KvpGaVuT8uulaSgoH4UH1hRfU6xv2ldHyxhu6Beu5c9iFm6SdUI1SaRiXZIrVigWO1takygk6E85INMKZaZ4zt+qjTILQCxCkydYtnzMtjz8OnHYa8Pbbln2cmefMyqyphTwPhzMol89ZGA80Z7oHOlZmTQAYMQIYPdrSB4wrF5tIQIDX0ZpkndxJaEPnqGhediS2kJqzGMA0a4rCekDOPz8aIh/+vX179S3fy1eWUNmWKwT07w8MHQr89a/umTUt2sSzPUXrf8USztq1A9avN67vllvUv08/jVbFqTmL1O5xyDnpc+Zn+JxZ1s0tnCnOfM5Y9XiRWNSgbkvN2RtvAEOG8LcLABo1Ao4cYVcJhiDerJlqeuRpMmubqHDm4jOoEzbN7osHmrOMao7M8F6rcLTPu8bkaZgH0i2zZrzynFHiV4yiu+sIUnMWL0QHC9YDQmorOEOfXYFpImM8mM2bqxqB1q29N2saQVyXu/9yEjo2q4+xZ2jW2mSZNe00zaBe3X6sUzDTnNm8dJQTMu89I/fTLsZuEJHpA9zzOQsTTtBsdu4eBAQAoIWz8nJg8GBqfybkSgUA8N57xlU61Cewl0siEBXONOekM0laEGTk7zLMc+Ygn5qWV2dNQ9uj+/DaLI7M8F6PiVrNlS5as3aaNamu+PobQOvW9MuOVJ3ZRmrOYgDTadINsyb5dhaHp8Bw5YMwRpohJ2/tDRqI7U/Ue9s5HXHbOYwUGWb+NyJVcZYTedvk1JzZdaqlU2mY7Gj0Y/v2wBlnAP/7n/r92DHg9NOBVavowxXF/YAAnnXy3Ojzfr/GR8ZHa3fM8oORnH8+d9uE8oJxohj1JaN2mPi7upXKzWsu2PgrLtj4q/4HI59OL9GWb8es6SRaM05JaKlnp2lTwOejgh9qUkBAoiE1ZzHGMh+YEazIIPKBjPPyTZaPoFvC44svAv36AR9+yFc+T71k1nJHmjNOsyarSZ4EBBDRmkyfM7MGhTj33OjnjAzmpO53UzgLw7O0mZM+1bIl0Ls3cOmltHkesBet6fOpQSlhzNaudHibXfE569EDuPde9Xly2CDL9jA3aIiDtt9VrIQzo+PiadY06yecZk36GFY54s2SqEjNWQwwNGOJ0Lix6pdy4EB0GymwiTycL7+sruX21FNibQgT8Tkjqmfl8fFCc9aqFbB0Kf/+PNeZ5XPGS5s2wK5d6mfytHiiNT32OaPujx2fMxbM9AE1SHPWsiWwYgWgWZiYwk4SWi0uLizOg2W0Jounn1b/N28OXHVVZLPo48k2s8bR/yiWAQFhtPdb890wlQ15sY36Fk/bvQwIMDVr+oiPPlVzVkOT0CYaUnMWA0jVrm2zJgB89BH9nXwgRcqbMEFdneC++8TbYFBXzFJpiMJTr5OEnEuXAu+/Dzz8ML/mjFWvic+Z3RHOD4vlm1h98brrgBYtgJtuYhfKEM5cDQho21b9H9Kcmfpn2elTS5fqBDPaR8bnTp4zM7OmB1OWsM8ZyZVXAoWF9usWfcZI+vVT//MsdO+EWAtnmvq4AsESNQktpxWAJZxJ7COFsxjD5XtgeLDmAbKrOQOAJk3styPcHJE3pASK1tRBmjVFB/G8PGDMGCA9nTtaUzSVhl3oFQIY7WHVl5OjRvu+8w67UJZwBkUV6uyiKMCPP6rJQF97Td3mleasRQt9MaNG0RvcEM5M7n/Q4b1mp66woTkj4VhA2rg9jG28p/fdd2rS7GkcTv1m3HZb9HMiaM54hbOakISW99r5/frzlhEBtpHCWQxwxazJwkYuGm6EbRsJqjnjuS5uRJBp3xhFk9B6IJxZLXxO1U1ids2YmjOo6zXaRVHUiMh//Ssa9RgSzlxfIYClQbzrLrotHps1vcCR5kxXlvNozSBvETk5wCWXODOLt22rrrFrRryFM6PrQT7zmZl8ZdvdxwzbwhnDrKmwfpWIIoWzmOOi5syL9BmjRgEnnABcfLH1vmQeLRHBwgvNmRFOTC5O6jGL1jQKCDDa32aT/EbalEi5NkzsjBUofCxHYBFY1z/sXG+24oVXE67HmjMuM6AJrGhP4YAAF2FHnzo3/9omHpoz8nnPyVH/CPw81+OSS4DLLtNvryFmTbB8zqR0ZhspnMUYrgg5w4NNBAC33tQ/+gjYtEm/fJFZO2Cgto9BrqNoAxyYNV3SnPk5zZrCPmc2odvjkgaKISwJCeYsWMd36QIcPAhFM8lRuDTy6/xmhg9Xv3TooN/ZDZ8zp5fLC7OmI1jtMdg17FMYOdSF9mkrsxLOHnrIeZ1m5RcUmKfSIF1KyO3JycCXX+rLjodZk/vFn9Cc+X0Ms6azZtVlpHAWL9wQzrwya3Ku42mZ58wIL4QzkgULop9jKJxxrxAQbpPn0ZqUOoXxu426WWZNI3MML0Z9xwW/SB50uZgeegj47DPujP3Rgvi0DbqFwkVhHB90UXMmKjxynU+40J9+orfHavYm62EJ3U4h7zfDREu9vO7Zo/podugAXHqpWNlO9jHDpuZMc5BuHJR5zuwjhbMYQPr7OIpksfMANW1qvz4B2JYNDidYLxCdnNwQzjTJTM19zkIfODVnducvqxUCbFXASqWR7PCt3S6eaM6groRw5ZVq6hoROIVzb6I13dOciT6dQmtrtm8PPPhg9Hs8hDMv6rTSXJHXIy0N+OADYMsWYz8zEh6zJpliiRfeMcF0P+JjdGATb4tEhxTOYgxzsWnug22onrdsEa+HtznaPGedO/Md6LVZMx7CWWYmwBkQwBRlzYQzm5M5+QbL8nOy9aLAjNZ0iF1h3YtJVmt2s4upzxlcf0Ex9Dlj5qVzF2YS2kTOc+ZFsIZFmWRamwgiUZDaY7THhlfxsIsbAQHMaE1nzarLyCS0NQntgM7jc+YgRN4Q1kS/fBmglNEmg1j6nFGNiYNwps2czxMQoNW0uO1zRkyQLO2GrRcFxmRvmuCWB7vX3wvNmVuaZu3zOHs2sEj96HxtTcY2I+HMYD1U0/JFA7VFNGdeIOpz5oXEYCGc2V4ZBrA+HxF++YWvDjvCLCNaU2IfqTnzGu2bhMF2LrSDkJepNDigNC+Z9fjbEEvhjAc32pOdze9zxtzoA4YMYe/vglnTtZQUXmjOTIjFOO+JXwx5nXr1UiPxQihANCpP1HRqgGFAgA3hTBSWz5nuvvHk87ILT3nxFs6c9GQeC0n9+nxlnXEGe7vdgADyJ2a0plSd2UUKZzHGkVnTTDiL5UPA0pyJVO91Etp4CWfkd57wc+2Eeu65wLx5qsOwXVq1ijaBKp/RDl2DGAwdSn9v3Fhfjsj1fuQRtY1vvx3dFlM1ix6hrsM4fyYmCaIVn1+918uXAxs38pVHHW8REED25xgIZ6yLFtdbmpCaM4+Fs++/t18+q1xuzZnmuhopIyTCSOGsJuO1H4UAzMSqiWDW5MEls2ZSkG8B9YimhmWOGTpUXf/RLrt3Rz9TPmdmKxaYXK8BA4AlS4D8fPX73XergsWbb0YPF2nfKaeobRw7NrrtzDMNd4/FJM/V/kWLgLPOAn74ga9QUjjTXN+IcNWnD9CgAV95FlA+XlVV0c+2hDOxi87aW2fpjrMA7rkfnqXPmUvCWRjtM9uli/3yWeXxzi2UbBY2a0q7phtI4SzGOFpbM1HMmqG2k74myYwcN4bEMiCAB15tiBnZ2ei/ey06H9iOS9Yv4IvW5ES4q3z7LdC/v7XmjHcQ7d8/uh5lVhbw3/8C48YR7RNoIOmLt3Ur8OGHxut4xgiq6xiJagMGqClaevbkK9RMc+bwWbX08SKFM7Mkvi7B0uTd9ZeTkJedhnt+/sDz+nXjYr16+n28Fs4sojWzK8rsl83SnGl9I52sbUuWy/rO+3xHzJoSN5ABAfHCDdV6nH3OUoPVuKpvK5RUBtCqYQZQqjmneCWhFX2LHDECuPVWYOBA+/VnZSElGMB/3rtNHZySHtft0qR+Kg6VVOLMjqGB1as3zAsuAC64AH5/dMJgBgQ4eVEA0CInHfsKy3HWSQJO9GQ/7dDBMueUwrpGjz7qcooYD6YTcrLWXN/OpTbSHhCwoyMJyBUOYiCcdTmwXbetRYMMLJ54BnwP/UXdEAu3i08+AR57DHj/ff1vZP0m98Y2RuPvHXcAL72Elwc0xB3F2bjjnI7Oyg6398wzgYcfjo51Ts3XLpg1ZRJad5HCWYxxpPJNFJ8zgqeuOEW8DV6rvXNyVDMc79tkUlJ0wW27hN7WI1eAMaDNnnAG5q7Nx1WntlY3eHwdeFcssNt3/v33gZi7Nh8j+7bmP8hpJvO0NGDKFOPfv/sOuP9+YM0a7iI9cUdiaM6+e/c2rGrRCRenHbFf7i+/AO/rI+4oIZbUnNl4aePtlt/efgZWXnQthq9bwPzdR9YdC1PX1Verf8zGGGjO3HqpNeo4L7wAPPggTmzWDN/aLdsolcbUqex9eDHr+DYCAsKpNKRZ0x2kWTNe1LKAACbxXL4pN1e3vp2naFOWMAbLlg0yMPaM9qifFpocOAcx23nORl4R+cyqyVHkMIDmORm48XTifHhwKpzt2GH++/nnA3/8IZQF3rUnR7sUT6QCtYauB7dj1O9zaaFFlDPOgHKJPqu8oVnTQ05ukYPrVn1n7E8VqzFJNFrTxB/QNkb31OdzHpHrlVVk9Gj1f48e9s2a2v000ZoS+0jhrCbBk88nFjit1+uAgHjg86m+XmHiHKABAL7PPot8blrPxOwRy37k9Lrk5bnTDgNcuxJm2hmnAiqDYd3U69KxWX3HwplrUyvZr+KtTfFaOPPgnkbw6iX87ruB//wHWLjQgVmTPETA71hiSVxnkHbt2sHn81F/Tz75pOkx5eXlGD9+PBo3boz69etjxIgRKCgoiFGLneMolYausAR7ELTtiVe0ZrzwKFzfdlE+H/79twH44KZ+aJqlX+8vLghOYjHJc+bFc2QmANgRUIljWNn3H7mwK565ogc+ueU058KZW4JUIo1PXps1vXwZ8yoNSHIycN55asSwTc0Z9YuM1nSVuPucPfbYYxhHRH5laTOta7jrrrvw7bff4vPPP0dOTg4mTJiAyy+/HL/++qvXTXUFV6M1E/khSEoCXnyR/VsszJrxQLQNMbh/fdo2AgCUHz5qvFMsr52XGgYSgXPyGX5xAHmeZu4IvFicT0ZqUtT3L0ZmTUNIv6hEIV5mzUQvO4xNzRkZnCI1Z+4Sd+EsKysLeZymisLCQrzzzjuYOXMmhoSyqb/33nvo0qULlixZgtNOO83LpiYeiaaBIh/MAweARo3Y+yWyUOmEBBTOIvD6jXiNqHBm9xKJCGdunb6RABAI0PvZEVBFJmgyWjMexPr5FvU58yJac/RoNdWK03xjLOItnHFeI2a0pkysYZu4O8Y8+eSTaNy4MXr16oVnnnkG1SYDy4oVK1BVVYWhRNbyzp07o02bNli8eHEsmusYR07YiSLU8LTdbJ9EEyrjRQzvp6nprib5nPEipDnzMT87wi3h7Kyz1P833BDZZNltpM+ZHq/NmjfeqPpueTEPxSLqVZo1E464as5uv/129O7dG40aNcKiRYswadIk7N+/H88//zxz//z8fKSmpqKBJqt2bm4u8sMZzBlUVFSgoqIi8r24uNiV9vNC+nC4unxTvB4Co7Y3a6YmKfX7zRdcl2ZNwWKdl+tLcj+Vhi1i5XMWD80ZCSkAaM9Z5BrMnq0uzXPRRfzHSLOmnlj4nA0a5E5ZrLLDePViazcggDRrhlJpSNzB9dfYBx54QOfkr/3bsGEDAGDixIk4++yz0aNHD9x666147rnn8PLLL1OClBtMmzYNOTk5kb+uXbu6Wn7MSBThzIjkZODgQaCgwHwCqq2aM9HM44miOYslCehz5sJhesjz1J6ziECQkwOMHAlkZEQ2WTrsx1s4Y+FmVn5tWU5SaYgKZz/8ALRvz7+Mlxvwas7+8Q/7ddg2a8pUGl7huubs7rvvxg2ECp5FB4McRP3790d1dTV27NiBTp066X7Py8tDZWUljh07RmnPCgoKTP3WJk2ahIkTJ0a+7927N24CmqsBAYko5KRxRAUmmlDpFoMGAaefDiSi8J8owlkimjW9uDSkQBaDVBoUjqM1XWoHoGbIP3DA3WciJSXqV+f3Ax9/bH2MWwEB55wDbNsmdoxTeIWzyZOBd94Bdu0Sr8PsOvA+sxHhTOIGrgtnTZs2RVObS6usXr0afr8fzQyS9vXp0wcpKSmYP38+RowYAQDYuHEjdu3ahQEDBhiWm5aWhjRCaCgqKrLVPjfw1Qa5xOlspvXBcYNEED6Sk4H//Y9/f+4ktM4xTXwaS2HZiWCyZQv/vnY1Z7aOCkGtZWrggA44FlAt71Yiac6MIradkJICHD+ufq6o4NPKeR2t6SUiZk27fcuu5oz8iRGtWRMub6ISN5+zxYsXY+nSpRg8eDCysrKwePFi3HXXXRg9ejQaNmwIQNVwnXPOOfjggw/Qr18/5OTkYOzYsZg4cSIaNWqE7Oxs3HbbbRgwYEDNi9SsyT5nTklEjV88iKVZ02zQjuX9EPU5I6/RCSe43BgV0uTrifnXZeHMknhHa3oNuV4or7nUSFhOgGTRlogEVtjtv7YDhkifMxkQ4CZxE87S0tLw6aefYsqUKaioqED79u1x1113UebHqqoqbNy4EWVlZZFtL7zwAvx+P0aMGIGKigoMGzYMr776ajxOwRZOF5umSLSAAF7kwyuEK/JCokTPJqJZ08NmAHAWEGCHSy9VfaJatrR1eMI/nXb812qy5kxEONMEy9mqQ/vdNCCAPET6nLlJ3ISz3r17Y8mSJab7tGvXTuf8mp6ejunTp2P69OleNs893Hz4pebMmJowyGpJFLOmF2ZmIxI8WtNz/zPWd0Esu83f/ga0awf072+z/AQfV0jNGS91RTibORO49logPV0srYdd4YxERmu6Sg3Q6dYy3Fy+qaZqzqRZ0xvM8hH5E0RzloDRmp67MLstnFmJrElJauoNm76/CY+bwllNMGuS/SUz03zfzp2BlSuBkE82N7YDAkiXAH/IrClWtYRN3FcIqGs4UvlKzVntQvqcWWL7EtnVnNmszhS3AwJq6GPvGnbMmmQfr0maswED1Pa++SZQWgq0aMF3nOg1cjEgQJo13aEGvDbUUuwMCrVFqPFidkn0QZYFr1nTjXOLp8/ZY49FP0ufs9hpD2srdjRnpOm+JmnOZs9W/48bB9x5J/9xon3MhRVE2Ms3SeyS4D2z9hFR+box4V55pZoQ8cYbnZclQiKaNW06P9cq7N4Xr4WzceOin4V9zmwK8iLXwmufM60AkOgCQaLjVHNWU6I1b7jBvmnazaS/JtfIp9Ww+XxStesS0qwZY1w1a9avD2zdGnutUSIKZ8OGqRmye/Z0v2yvSJRBzOuAALOcX17Bkww5RMx9zrzOc+aQROmWhpxxBvDHH2LHGGnOElnj7kTAcvqcGeXs0+4Gcjdp1nQTKZzFCzuDAsvfIJEHFyO8itacPNn9cr0khtGapnitObMT+eWUd98FLrjARrb0GOQ5k2ZNZzz1lLqO7xVX8B9TE82aToQzp5ozTuGMXltTb9aU2CeBe2btxNHC5/37A888A3TrBsyf727DYknCv5rHiES5DrVRODv5ZGDnTq5dPZ9PYp1Ko7ZTvz7w6KPqPeaFFM6SkoCzz1Y/33KLq01zlUTRnJmZNckvfhmt6SZScxZjHM8D99yj/sWTRDRrSuzTqJG35fO+hVsc6hWuyWatW7O3x3qFAIfY9vNLZEjhzOcDvvkGWLZMXQ83UakJmjMCadZ0FymcxYuarP6Vwpk7cEdrelT/J5+oPounnupRBSHI+52AgolrSzZNmgTs26c3t7lu1vR28nMsECfi2Kb1q6xfHxg8OD5t4SWemjMSwYXPtZsk9pDCmddo1gOU645BCmfCcI5woiPh1VeLN8UOTjRnTutesQLo08d0F7pFDmqsV0/1ddPSrBn9vbbnOUvEBtbEMacmaM6I/XwRs2YC3v8aSOK9xtYmJkxQ36YJXF1bs6ZSEwdKL6grgxin/4on9O6trjVpgmeP4syZwCWXAA88QG9P8ICAWtktY7lEmVskis8Z7wMSMWtK3EBqzrzk5ZeNf6vLwlmtHP1tEG+zZqwgF2O2Wn5GixtdxeICktOJq13zmmvUPy21XXOWiNRE4cyJgOWm5syBWVNiH6k5izFx6brkA7Nqlbvl2UFqzuoWmZnA778Da9YAqamxr9+qv8b6oTzrrBhXmGDEQ7rs1i32dTrFiYBFXuN+/dT/N99s73hRzZl8e3AFqTmLF7F8wyAfFjeStErhzB3q0iDWo0f86k6Ut/nt24G1a9X8aw7wOpqyVkZrnnyymn6Id23KRMCJcFZWFv08dy6wcKGaqJsXXs2Zdj8ZrekaUnMWLxJlwogHUjhTCQ+W6enMn1OT1Mdz0Ek2l3CRcBGzR7FdO+CiixxXeH735u60R0ODTHXNyiGdm1nsWUMZMgTo3DnereAnL8/+saRw1rAhMHw4kJHBf7xrZs06PM85RGrOJLGnLmmMzOjdW9WkGLzNL7zvbKzadQzDTuYcpDkn/dtzKzD6ZmfamxqFpc9ZlJrQM88+qSnm3HYGLnr5f66W+/2dg/DbjiM4j7e/Sbzh44+BBQuA0aPtl0EKZ05xFBBQE56oxEQKZ/GiJmvOpFnTPUyynDfPyUDz7gJvu5x0SAuiWRZbW5douGJisxLOatiz6PP50K1ljuvlNstOx0U9BM1+rIWua9j1TDiuvVb9c0KnTs6Ot5ObUAYEuIoUzuoCrAE0niRSWyS1HxHNmeyaYrDGFnkR48855wAzZgDdu9s7fseO6GcRzZku4EcKa3aRwlm8qMlvGDW57ZIaRUyWb5LdWVLb8PmA66+3f/zGjdHPIpozA/9ZiTgyICBeyBlBEi9SUuLdgtgilOdMan0cI8e2ms8LL0Q/i2jOpHDmGlI4k4gjB98aja93r3g3gZtYiEqyOztAXrzaxwsv0OvDmtxjnzaqUyOcye5hHymcxQDmy7jstZI4ofhjuHyQdl3JeCCfNe+Q17b2oU25YWrW1CSr1ficSUW0faTPmURSW0ikibJrV6BRI/MlzGJFIl2XuoBVotealAhWImbWjPXaubUYKZzFAGbfrskTRk1ue20mEe7LTTcB774LfPml83B+t7BMpRGjdtRGyIs3e7aan2vMGPNj/vpXYP16sYz1kvhh9oCQmjFGKg35bNlHCmfxoib32prcdom3t++dd4Dp011zDHbFQV8kIMB5bXWXSy5R/6xITQVee8379kjsoX1eZJ6zuCB1kHWBRHtgkmLo8ySJPTUsYivRHo8axezZ6gV86614t0TiFbzLSLE0Zx40p64gNWcxIO4BAUOGAD/8ALRpE7s6WSxcCNxxB/Dqq/Fth6TG4IomSyah9Y7zzwcqK50t0i1JTD77DPjzT2DQIJOdzFeHkI+TfaTmLF7EUjibORP4xz+An392pzy7bR80CFi1ChgwwJ12SCQ8mCyRBdS85ZsSDimY1U6uvBJ49FF+nzOg1qihKyoq0LNnT/h8PqxevZr67Y8//sCZZ56J9PR0tG7dGk8//bTu+M8//xydO3dGeno6unfvju+++064DVI4iwFx769NmwKTJwNt27pTXtxPSMKkFt4XVzRZEycCjzwCLF7M/Jle+Fy+60vqOE7GkVpi1rzvvvvQghFVXFRUhHPPPRdt27bFihUr8Mwzz2DKlCl48803I/ssWrQI11xzDcaOHYtVq1Zh+PDhGD58ONauXSvUBimcxYC4mzUlkrpMWhrw2GPAaacxf5aPokTiErUglcZ//vMffP/993j22Wd1v3388ceorKzEu+++i5NPPhlXX301br/9djz//PORfV566SWcd955uPfee9GlSxdMnToVvXv3xiuvvCLUjpp/JSUSiUQikcSfGL7pFBcXo6ioKPJXUVHhuMyCggKMGzcOH374ITIzM3W/L168GIMGDUIqkWx32LBh2LhxI44ePRrZZ+jQodRxw4YNw2IDzb0RUjiLF/J1XSJJCKTPmUSC6MoAgwcLHKQxC11+OfXVy2era9euyMnJifxNmzbNUXmKouCGG27Arbfeir59+zL3yc/PR25uLrUt/D0/P990n/DvvMRNOFuwYAF8Ph/zb9myZYbHnX322br9b7311hi23CVq8oQQXnetZ8+4NkMicR3pciapq+TnA9u2ASeeaL+M3r2BTZsiX13JU2jA+vXrUVhYGPmbNGkSc78HHnjAUNYI/23YsAEvv/wyiouLDcuJNXELsxk4cCD2799PbXvkkUcwf/58Q6k1zLhx4/DYY49FvrPUjxIPadMGOHoUqF8/3i2RSCQSiRtkZ6t/IrBkr44dAWxi/OAuWVlZyOZo7913340bbrjBdJ8OHTrgxx9/xOLFi5GWlkb91rdvX4waNQrvv/8+8vLyUFBQQP0e/p4XygdntE8eb764EHETzv6/vbuNieps8wD+H4QBacEBeRMFXX0UpAUfoguFrKVRKrRoJWFpCsS30NK4amu1XbC1UrWumtBU7WPSxBoxWw3aplhi6wsWrFUpqJVWBdlINZZXq0QYpQszcO8Hl3kcHXAGOC8z8/8l8+Hcc87MdS6GOdfc5z730Wq1ZsEaDAZ8++23WLFixRO7Qj09PW3eUdWx554zANDplI6AHvWEz9TT7q6412VE7L+Mlikg+2NPHWcrZv0Nn5Vdw1uzhtDTQTQEmif8x6hhyIC/vz/8/f2fuN6OHTvw8ccfm5abmpqQlJSEAwcOIDY2FgAQFxeHDz74AAaDAW5ubgCA0tJShIWFwcfHx7TODz/8gJUrV5peq7S0FHE2TiGlmglqSkpKcOfOHSxZsuSJ6+7btw9ffvklgoKCMG/ePHz44YcD9p51dXWZDRbU6/XDEvOQqOBDS87l3AeJ0P+vAQHe9jWDP1m26sUpSJ8eghDfkUqHQk7KkSZtDn1kkvan///M0KRJkzBu3DgAQGZmJtavX4/s7Gzk5ubi8uXL2L59Oz799FPTdm+//TYSEhLwySefICUlBUVFRTh//rzZdBvWUE1xtnv3biQlJZmS0J/MzEyMHz8ewcHB+O2335Cbm4u6ujp88803/W6zefNmrF+/frhDJrIrI7UjMFLLW2cNxJ4ONhqNBqGjOaSDSC6jRo3C8ePHsWzZMkyfPh1+fn5Yt24dcnJyTOvEx8dj//79WLt2Ld5//31MnjwZhw4dwrPPPmvTew17cZaXl4etW7cOuE5tbS3Cw8NNyw0NDTh27BgOHjz4xNd/OAmRkZEYM2YMZs+ejfr6ekyaNMniNmvWrMGqVatMy42NjYiIiHjie0mKPWdERGTHHPkwNmHCBIsXNERFReGnn34acNv09HSkp6cP6f2HvTizdvDdw/bs2YPRo0fjlVdesfn9+s4FX7t2rd/izN3d3WyQX0dHh83vQ0RERA+xp65mOzPsxZm1g+/6CCGwZ88eLFy40DTAzhZ9970aM2aMzdsqypF/chAREdGgKT4JbVlZGa5fv47XX3/9secaGxsRHh6OqqoqAEB9fT02btyICxcu4MaNGygpKcHChQvx/PPPIyoqSu7QrWbxfn0szmi48TM1ZLy3JpENnvDvwm+kwVP8goDdu3cjPj7ebAxaH4PBgLq6OnR2dgJ4MP3GiRMnsG3bNty/fx8hISFIS0vD2rVr5Q67X6Of0uLO/W6lwyAiIlIUL0AaPMWLs/379/f73KMD8kJCQvDjjz/KEdagffl6LP7r+1q8OyfM1Kax9PuBvRxEqsMhNES2sPwP85/JYfifFj3iJnJOxcFSvDhzNFPHeOO/s2PN2niqhIiInMV/vMCJkYdK8TFnTos9Z0Sqw59RRKQGLM6UwuKMiIjsGX/NSIbFGZG927MHGDkSKClROhIiciqszqTC4kwp7Dmj4bJ4MaDXA4mJSkcy7P6RGQ0A+DjVtluf2GpaiA6e2hH41wk+kr4PEZE1eEGAUlic0XAa4ZiXrM+NCkbi1EB4uEm7f8VL42HsFdC68vcqkbV4FJMOizMiUjWpCzMAcHHRQOvCQw2RLTj1jHT4M1Ep7DkjIiIiC1icERERkc3YxSAdFmdKYc8ZERERWcDiTCkszoiIyK5x0JlUWJwR2St3d6UjICJnxisCJMPijMjeHD8OTJ0KlJUpHQkROTMvL6UjcFicSkMp/MVBg/Xii0BNjdJREJGz+/vfgeY6paNwSOw5kwHrMCIicjguLCGkwswSERERqQiLMyIiIiIVYXFGREREpCIszmRgcUozDkQjIiIiC1icyYB1GBEREVmLxZlSWLERERGRBSzOiIiIiFSExRkRERGRirA4IyIiIlIRFmdEREREKsLijIiIiEhFWJwphVdrEhERkQUszmQQFuT1eKOXhTYiIiI7YfHYRsPCVekAnEHCFH8UpE9DeJAXMPs4YDAAOp3SYREREQ3av/3ND5+kT2ORJgEWZzLQaDT49+njHiyMfVHZYIiIiIaBRqNBWt+xjYYVT2sSERERqYhkxdmmTZsQHx8PT09P6Po5hXfz5k2kpKTA09MTAQEBeO+992A0Ggd83ba2NmRlZcHb2xs6nQ7Z2dm4d++eBHtAREREJD/JirPu7m6kp6dj6dKlFp/v6elBSkoKuru7cfbsWezduxeFhYVYt27dgK+blZWFK1euoLS0FIcPH8apU6eQk5MjxS4QERERyU4jhLRzOhQWFmLlypW4e/euWfuRI0cwd+5cNDU1ITAwEADw+eefIzc3F3/++Se0Wu1jr1VbW4uIiAicO3cOM2bMAAAcPXoUL7/8MhoaGhAcHGxVTA0NDQgJCcEff/yBceN4vpyIiMgeOMvxW7ExZxUVFYiMjDQVZgCQlJSEjo4OXLlypd9tdDqdqTADgMTERLi4uKCysrLf9+rq6kJHR4fpodfrh29HiIiIiIaRYsVZS0uLWWEGwLTc0tLS7zYBAQFmba6urvD19e13GwDYvHkzRo0aZXpEREQMMXoiIiIiadhUnOXl5UGj0Qz4uHr1qlSxDtqaNWvQ3t5uetTU1CgdEhEREZFFNs1ztnr1aixevHjAdSZOnGjVawUFBaGqqsqsrbW11fRcf9vcunXLrM1oNKKtra3fbQDA3d0d7u7upuWOjg6rYiQiIiKSm03Fmb+/P/z9/YfljePi4rBp0ybcunXLdKqytLQU3t7e/Z52jIuLw927d3HhwgVMnz4dAFBWVobe3l7ExsYOS1xERERESpJszNnNmzdRXV2NmzdvoqenB9XV1aiurjbNSTZnzhxERERgwYIF+PXXX3Hs2DGsXbsWy5YtM/VyVVVVITw8HI2NjQCAqVOnIjk5GW+88Qaqqqpw5swZLF++HK+99prVV2oSERERqZlkt29at24d9u7da1qOjo4GAJSXl+OFF17AiBEjcPjwYSxduhRxcXF46qmnsGjRImzYsMG0TWdnJ+rq6mAwGExt+/btw/LlyzF79my4uLggLS0NO3bskGo3iIiIiGQl+TxnauQs86QQERE5Emc5fvPemkREREQqItlpTTXr7e0FADQ3NyscCREREVmr77jddxx3VE5ZnPVN2RETE6NwJERERGSr1tZWhIaGKh2GZJxyzJnRaMTFixcRGBgIFxee2dXr9YiIiEBNTQ28vLyUDsdhMc/yYJ7lw1zLg3n+p97eXrS2tiI6Ohquro7bv+SUxRmZ6+jowKhRo9De3g5vb2+lw3FYzLM8mGf5MNfyYJ6dD7uNiIiIiFSExRkRERGRirA4I7i7uyM/P9/s/qM0/JhneTDP8mGu5cE8Ox+OOSMiIiJSEfacEREREakIizMiIiIiFWFxRkRERKQiLM6IiIiIVITFmRNqa2tDVlYWvL29odPpkJ2djXv37lm1rRACL730EjQaDQ4dOiRtoA7A1ly3tbVhxYoVCAsLw8iRIxEaGoq33noL7e3tMkatfjt37sSECRPg4eGB2NhYVFVVDbj+V199hfDwcHh4eCAyMhLff/+9TJHaP1tyvWvXLsycORM+Pj7w8fFBYmLiE/829ICtn+k+RUVF0Gg0SE1NlTZAkhWLMyeUlZWFK1euoLS0FIcPH8apU6eQk5Nj1bbbtm2DRqOROELHYWuum5qa0NTUhIKCAly+fBmFhYU4evQosrOzZYxa3Q4cOIBVq1YhPz8fv/zyC6ZNm4akpCTcunXL4vpnz55FRkYGsrOzcfHiRaSmpiI1NRWXL1+WOXL7Y2uuT548iYyMDJSXl6OiogIhISGYM2cOGhsbZY7cvtia5z43btzAu+++i5kzZ8oUKclGkFOpqakRAMS5c+dMbUeOHBEajUY0NjYOuO3FixfF2LFjRXNzswAgiouLJY7Wvg0l1w87ePCg0Gq1wmAwSBGm3YmJiRHLli0zLff09Ijg4GCxefNmi+u/+uqrIiUlxawtNjZWvPnmm5LG6QhszfWjjEaj8PLyEnv37pUqRIcwmDwbjUYRHx8vvvjiC7Fo0SIxf/58GSIlubDnzMlUVFRAp9NhxowZprbExES4uLigsrKy3+06OzuRmZmJnTt3IigoSI5Q7d5gc/2ovvvpOfJNfq3V3d2NCxcuIDEx0dTm4uKCxMREVFRUWNymoqLCbH0ASEpK6nd9emAwuX5UZ2cnDAYDfH19pQrT7g02zxs2bEBAQAB71R0Uv+2dTEtLCwICAszaXF1d4evri5aWln63e+eddxAfH4/58+dLHaLDGGyuH3b79m1s3LjR6tPOju727dvo6elBYGCgWXtgYCCuXr1qcZuWlhaL61v7N3BWg8n1o3JzcxEcHPxYcUz/NJg8nz59Grt370Z1dbUMEZIS2HPmIPLy8qDRaAZ8WPuF+qiSkhKUlZVh27Ztwxu0nZIy1w/r6OhASkoKIiIi8NFHHw09cCIZbdmyBUVFRSguLoaHh4fS4TgMvV6PBQsWYNeuXfDz81M6HJIIe84cxOrVq7F48eIB15k4cSKCgoIeG2RqNBrR1tbW7+nKsrIy1NfXQ6fTmbWnpaVh5syZOHny5BAitz9S5rqPXq9HcnIyvLy8UFxcDDc3t6GG7RD8/PwwYsQItLa2mrW3trb2m9OgoCCb1qcHBpPrPgUFBdiyZQtOnDiBqKgoKcO0e7bmub6+Hjdu3MC8efNMbb29vQAe9MzX1dVh0qRJ0gZN0lN60BvJq2+Q+vnz501tx44dG3CQenNzs7h06ZLZA4DYvn27+P333+UK3e4MJtdCCNHe3i6ee+45kZCQIO7fvy9HqHYlJiZGLF++3LTc09Mjxo4dO+AFAXPnzjVri4uL4wUBVrA110IIsXXrVuHt7S0qKirkCNEh2JLnv/7667Hv4/nz54tZs2aJS5cuia6uLjlDJ4mwOHNCycnJIjo6WlRWVorTp0+LyZMni4yMDNPzDQ0NIiwsTFRWVvb7GuDVmlaxNdft7e0iNjZWREZGimvXronm5mbTw2g0KrUbqlJUVCTc3d1FYWGhqKmpETk5OUKn04mWlhYhhBALFiwQeXl5pvXPnDkjXF1dRUFBgaitrRX5+fnCzc1NXLp0SaldsBu25nrLli1Cq9WKr7/+2uyzq9frldoFu2Brnh/FqzUdD4szJ3Tnzh2RkZEhnn76aeHt7S2WLFli9uV5/fp1AUCUl5f3+xoszqxja67Ly8sFAIuP69evK7MTKvTZZ5+J0NBQodVqRUxMjPj5559NzyUkJIhFixaZrX/w4EExZcoUodVqxTPPPCO+++47mSO2X7bkevz48RY/u/n5+fIHbmds/Uw/jMWZ49EIIYTcp1KJiIiIyDJerUlERESkIizOiIiIiFSExRkRERGRirA4IyIiIlIRFmdEREREKsLijIiIiEhFWJwRERERqQiLMyIiIiIVYXFGREREpCIszoiIiIhUhMUZERERkYqwOCMiIiJSkf8D1UpNFgd9+fYAAAAASUVORK5CYII=","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["fig, ax = plt.subplots()\n","bx = ax.twinx()\n","\n","plt_1 = ax.plot(t, input, 'r', label=\"bbb\")\n","plt_2 = bx.plot(t, fft, label=\"aaa\")\n"]},{"cell_type":"code","execution_count":404,"metadata":{},"outputs":[{"data":{"text/plain":["[]"]},"execution_count":404,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# plot input\n","_, bx = plt.subplots()\n","bx.plot(t, input)\n","plt.plot()"]},{"cell_type":"code","execution_count":415,"metadata":{},"outputs":[{"data":{"text/plain":["[]"]},"execution_count":415,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["#Plot FFT\n","_, bx = plt.subplots()\n","half = len(fft)//2\n","bx.plot(t, fft[half:] + fft[:half])\n","plt.plot()"]},{"cell_type":"code","execution_count":406,"metadata":{},"outputs":[{"data":{"text/plain":["[]"]},"execution_count":406,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["sp = np.fft.fft(input)\n","freq = np.fft.fftfreq(t.shape[-1])\n","plt.plot(freq, sp.real)"]}],"metadata":{"kernelspec":{"display_name":"Python 3.9.6 ('.venv': venv)","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":"3.9.6"},"orig_nbformat":4,"vscode":{"interpreter":{"hash":"06359639d2d75da86cad47c2895747b41ca68d0165b9c5a9e8221953df1918eb"}}},"nbformat":4,"nbformat_minor":2} diff --git a/algorithms/python/fft.py b/algorithms/python/fft.py index 43f3f5b..c3894a2 100644 --- a/algorithms/python/fft.py +++ b/algorithms/python/fft.py @@ -2,29 +2,84 @@ import numpy as np from random import uniform - -# sampling rate -sr = 500.0 +# sampling rate (must be of base 2) +sr = 1024 # sampling interval -ts = 1.0/sr -t = np.arange(0,1,ts) - +ts = 1/sr +t = np.arange(-0.5, 0.5, ts) +old_freqs = [] def randomSine(): # frequency of the signal - freq = uniform(1, 10) + freq = uniform(1, 500) + randPhase = uniform(0,1) + + # prevent from picking the same frequencies + while freq in old_freqs: + freq = uniform(1, 100) + old_freqs.append(freq) + + t = np.arange(randPhase, randPhase+1, ts) return np.sin(2*np.pi*freq*t) - +def sum_curves(curves: list[list]): + summed = [] + for i in range(sr): + sm = 0 + for curve in curves: + sm += curve[i] + summed.append(sm) + return summed + +complexJ = 0 + 1j +def ditff2(x: list) -> list: + n = len(x) + if n == 1: + return x + wn = np.e ** ((2*np.pi*complexJ)/n) + w = 1 + half = int(n/2) + halfLeft = [even for (index, even) in enumerate(x[:-1]) if index % 2 == 0] + halfRight = [odd for (index, odd) in enumerate(x) if not index % 2 == 0] + + yk_0 = ditff2(halfLeft) + yk_1 = ditff2(halfRight) + y = [None] * n + for i in range(half): + y[i] = yk_0[i] + w * yk_1[i] + y[i+half] = yk_0[i] - w * yk_1[i] + w = w*wn + return y + +# number of peaks you want to see in fft +# number of different frequencies on the curve +N = 20 +# Generate a radom curve with different frequencies +input = sum_curves([randomSine() for _ in range(N)]) + +fft = ditff2(input) + +## plot stuff +fig, ax = plt.subplots() +bx = ax.twinx() + +plt_1 = ax.plot(t, input, 'r') +plt_2 = bx.plot(t, fft) + +# plot input +_, bx = plt.subplots() +bx.plot(t, input) + +#Plot FFT +_, bx = plt.subplots() +half = len(fft)//2 +bx.plot(t, fft[half:] + fft[:half]) +plt.plot() -N = 4 -input = [randomSine() for i in range(N)] +# numpy fft +sp = np.fft.fft(input) +freq = np.fft.fftfreq(t.shape[-1]) +plt.plot(freq, sp.real) -for i in range(N): - sine = input[i] - plt.plot(t, sine, label = f'sin {i}') -plt.xlabel('Angle [rad]') -plt.ylabel('sin(x)') -plt.axis('tight') plt.legend() plt.show() diff --git a/algorithms/python/requirements.txt b/algorithms/python/requirements.txt index d23666c..f686bd9 100644 --- a/algorithms/python/requirements.txt +++ b/algorithms/python/requirements.txt @@ -1,14 +1,85 @@ +anyio==3.6.2 +appnope==0.1.3 +argon2-cffi==21.3.0 +argon2-cffi-bindings==21.2.0 +asttokens==2.1.0 +attrs==22.1.0 autopep8==2.0.0 +backcall==0.2.0 +beautifulsoup4==4.11.1 +bleach==5.0.1 +cffi==1.15.1 contourpy==1.0.6 cycler==0.11.0 +debugpy==1.6.3 +decorator==5.1.1 +defusedxml==0.7.1 +entrypoints==0.4 +executing==1.2.0 +fastjsonschema==2.16.2 fonttools==4.38.0 +idna==3.4 +importlib-metadata==5.1.0 +ipykernel==6.17.1 +ipython==8.6.0 +ipython-genutils==0.2.0 +ipywidgets==8.0.2 +jedi==0.18.2 +Jinja2==3.1.2 +jsonschema==4.17.1 +jupyter==1.0.0 +jupyter-console==6.4.4 +jupyter-server==1.23.3 +jupyter_client==7.4.7 +jupyter_core==5.0.0 +jupyterlab-pygments==0.2.2 +jupyterlab-widgets==3.0.3 kiwisolver==1.4.4 +MarkupSafe==2.1.1 matplotlib==3.6.2 +matplotlib-inline==0.1.6 +mistune==2.0.4 +nbclassic==0.4.8 +nbclient==0.7.0 +nbconvert==7.2.5 +nbformat==5.7.0 +nest-asyncio==1.5.6 +notebook==6.5.2 +notebook_shim==0.2.2 numpy==1.23.5 packaging==21.3 +pandocfilters==1.5.0 +parso==0.8.3 +pexpect==4.8.0 +pickleshare==0.7.5 Pillow==9.3.0 +platformdirs==2.5.4 +prometheus-client==0.15.0 +prompt-toolkit==3.0.33 +psutil==5.9.4 +ptyprocess==0.7.0 +pure-eval==0.2.2 pycodestyle==2.10.0 +pycparser==2.21 +Pygments==2.13.0 pyparsing==3.0.9 +pyrsistent==0.19.2 python-dateutil==2.8.2 +pyzmq==24.0.1 +qtconsole==5.4.0 +QtPy==2.3.0 +Send2Trash==1.8.0 six==1.16.0 +sniffio==1.3.0 +soupsieve==2.3.2.post1 +stack-data==0.6.1 +terminado==0.17.0 +tinycss2==1.2.1 tomli==2.0.1 +tornado==6.2 +traitlets==5.5.0 +wcwidth==0.2.5 +webencodings==0.5.1 +websocket-client==1.4.2 +widgetsnbextension==4.0.3 +zipp==3.11.0