diff --git a/Tutorium 2.ipynb b/Tutorium 2.ipynb index ff07bdb..dfa630b 100644 --- a/Tutorium 2.ipynb +++ b/Tutorium 2.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 2, "id": "a4ea5fe4-eaa9-4cc4-8677-385a68577332", "metadata": {}, "outputs": [], @@ -30,15 +30,23 @@ "Generate a normal distribution with sample of an experiment" ] }, + { + "cell_type": "markdown", + "id": "ed78c89c-0bee-4b52-be93-31a2698112ad", + "metadata": {}, + "source": [ + "Sample of people and measure their heights. Re run the code...also the average is changing." + ] + }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 7, "id": "280f78b3-4338-49ec-8929-732d429762db", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -49,7 +57,7 @@ ], "source": [ "# Generate 1000 random numbers from a normal distribution\n", - "mu, sigma = 3, 6 # mean and standard deviation\n", + "mu, sigma = 180, 10 # mean and standard deviation\n", "data = np.random.normal(mu, sigma, 1000)\n", "mean_sample = data.mean().item()\n", "# Create a histogram of the data\n", @@ -61,15 +69,23 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "id": "82712fee-3e30-4e03-8be5-636d4193fb50", + "metadata": {}, + "source": [ + "As we can see, it seems to be appropriate, to approx this with the normal distribution" + ] + }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 8, "id": "0df9c2e5-ae6d-48c0-93a4-12a6e70240c2", "metadata": {}, "outputs": [ { "data": { - "image/png": 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y5WjatClsbW0RHByMP/74A1OnTsXo0aPRvn17lJWV4fvvv4dCocCoUaPE47UdYv04Xn75ZWzatAmDBg3Cc889hwsXLuCHH34Qk7hH0VWfmDt37sDNzQ2RkZHo3LkzbG1tcfLkSaxevRr29vaYPXu2RvmOHTuib9++4pwqAPDRRx+hZ8+e6Nu3L1599VVcvnwZCxcuxMCBAzX6oQQHB2P06NGIjo5GQUEB2rVrh7Vr1yIzMxPffvutxs+ZN29evX8XdXmf+fv7Q6FQYMGCBSgsLISlpSX69++Pli1b4p133hGHyw8ZMgSpqanYuXNnjVMV1ERXfWIA4D//+Q8SEhLQv39/vPnmmwCAxYsXo3nz5pg1a5ZY7ujRowgNDcXcuXPFzunW1tb44IMPMGXKFIwePRrh4eE4ePAgfvjhB3z00Udo3ry5ePwbb7yBVatWYejQoXjnnXdgbm6ORYsWwdnZGW+//bbOrocMgNTDo8g0PWrG3pqGWJeVlQnTpk0TWrRoIchkskcOt/bw8Kg2+2el27dvC9HR0UK7du0ECwsLwcnJSejZs6fw2WefCSUlJYIgCMKmTZuEgQMHCi1bthQsLCwEd3d3YfLkycKVK1c0zpWSkiIEBweLZRYtWlSnIdaCIAi//PKL0KlTJ8HMzEy83osXLwovvfSS0LZtW8HKykpo3ry5EBoaKuzevVvjWG2HWE+ZMkVjX+U9rjojrSAIwt69e2sc4r1w4UKhVatWgqWlpdCrVy8hOTm5zkOsdaW4uFiYPn260LVrV8HOzk4wNzcXPDw8hEmTJmnc60oAaozv4MGDQs+ePQUrKyuhRYsWwpQpUzSGmVe6d++e8M477whKpVKwtLQUAgMDqw3ZFwRBePvttwWZTCakp6drfU11fZ+tWrVKaNOmjaBQKDR+7+Xl5cL8+fMFFxcXwdraWujXr59w6tQpSWbsFYSK/w9hYWGCra2t0LRpU2HEiBHVpjOofI/VNGx75cqVQocOHQQLCwuhbdu2wueff64xfLxSdna28Oyzzwp2dnZCkyZNhGHDhgl//fVXQ10W6SmZIFTpvUdERFoLCgqCh4cHYmNjpQ6FyKQwiSEiegwqlQotWrRAWlqa2PxDRI2DSQwREREZJA6xJiIiIoPEJIaIiIgMUr2SmGXLlsHT0xNWVlYIDg7G0aNHH1o+NjYWPj4+sLKyQpcuXbBjxw6N1+/cuYOpU6eidevWsLa2RqdOnSSb1IuIiIgMg9ZJzMaNGxEVFYW5c+fi+PHj8PPzQ3h4uLjezN8lJiZi7NixmDRpElJTUxEREYGIiAicOnVKLBMVFYW4uDj88MMPSE9Px1tvvYWpU6di69at9b8yIiIiMmpad+wNDg5GYGAgli5dCqBiHRo3NzdMmzYNM2fOrFY+MjISRUVF2L59u7ivR48e8Pf3F2tbfH19ERkZqTFRVUBAAAYPHowPP/zwkTGp1Wrk5uaiadOmOpuanoiIiBqWIAi4ffs2XF1dIZdr3zik1Yy9JSUlSElJQXR0tLhPLpcjLCwMSUlJNR6TlJSEqKgojX3h4eHYsmWLuN2zZ09s3boVL730ElxdXbFv3z78+eef+Pzzz2s8Z3Fxscb06zk5OejUqZM2l0JERER6Ijs7u16L22qVxFy7dg3l5eXVVil1dnbG2bNnazwmLy+vxvJ5eXni9pIlS/Dqq6+idevWMDMzg1wux6pVq/Dkk0/WeM6YmBjMnz+/2v7s7GzY2dlpc0lEREQkEZVKBTc3t3ov2qkXayctWbIEhw8fxtatW+Hh4YEDBw5gypQpcHV1RVhYWLXy0dHRGrU7lTfBzs6OSQwREZGBqW9XEK2SGCcnJygUCuTn52vsz8/Ph1KprPEYpVL50PL37t3DrFmzsHnzZnGV0q5duyItLQ2fffZZjUmMpaUlLC0ttQmdiIiIjIxWvWgsLCwQEBCAhIQEcZ9arUZCQgJCQkJqPCYkJESjPADEx8eL5UtLS1FaWlqtQ49CoYBardYmPCIiIjIhWjcnRUVFYfz48ejevTuCgoLwxRdfoKioCBMnTgQAjBs3Dq1atUJMTAwAYPr06ejbty8WLlyIoUOHYsOGDUhOTsbKlSsBAHZ2dujbty9mzJgBa2treHh4YP/+/fjvf/+LRYsW6fBSiYiIyJhoncRERkbi6tWrmDNnDvLy8uDv74+4uDix825WVpZGrUrPnj2xfv16vPfee5g1axa8vb2xZcsW+Pr6imU2bNiA6OhovPDCC7hx4wY8PDzw0Ucf4bXXXtPBJRIREZExMooFIFUqFezt7VFYWMiOvURERAbicf9+c+0kIiIiMkhMYoiIiMggMYkhIiIig8QkhoiIiAwSkxgiIiIySExiiIiIyCAxiSEiIiKDxCSGiIiIDBKTGCIiIjJIWi87QETU2CZvm1yv41YMX6HjSIhIn7AmhoiIiAwSkxgiIiIySExiiIiIyCAxiSEiIiKDxCSGiIiIDBKTGCIiIjJITGKIiIjIIDGJISIiIoPEJIaIiIgMEpMYIiIiMkhMYoiIiMggMYkhIiIig8QkhoiIiAwSkxgiIiIySExiiIiIyCAxiSEiIiKDxCSGiIiIDBKTGCIiIjJITGKIiIjIIDGJISIiIoPEJIaIiIgMEpMYIiIiMkhMYoiIiMggMYkhIiIig8QkhoiIiAxSvZKYZcuWwdPTE1ZWVggODsbRo0cfWj42NhY+Pj6wsrJCly5dsGPHDo3XZTJZjY9PP/20PuERERGRCdA6idm4cSOioqIwd+5cHD9+HH5+fggPD0dBQUGN5RMTEzF27FhMmjQJqampiIiIQEREBE6dOiWWuXLlisbju+++g0wmw6hRo+p/ZURERGTUZIIgCNocEBwcjMDAQCxduhQAoFar4ebmhmnTpmHmzJnVykdGRqKoqAjbt28X9/Xo0QP+/v5Yvnx5jT8jIiICt2/fRkJCQp1iUqlUsLe3R2FhIezs7LS5HCIyAJO3Ta7XcSuGr9BxJESkS4/791urmpiSkhKkpKQgLCzswQnkcoSFhSEpKanGY5KSkjTKA0B4eHit5fPz8/Hrr79i0qRJtcZRXFwMlUql8SAiIiLTolUSc+3aNZSXl8PZ2Vljv7OzM/Ly8mo8Ji8vT6vya9euRdOmTfHMM8/UGkdMTAzs7e3Fh5ubmzaXQUREREZA70Ynfffdd3jhhRdgZWVVa5no6GgUFhaKj+zs7EaMkIiIiPSBmTaFnZycoFAokJ+fr7E/Pz8fSqWyxmOUSmWdyx88eBDnzp3Dxo0bHxqHpaUlLC0ttQmdiIiIjIxWNTEWFhYICAjQ6HCrVquRkJCAkJCQGo8JCQmp1kE3Pj6+xvLffvstAgIC4Ofnp01YREREZIK0qokBgKioKIwfPx7du3dHUFAQvvjiCxQVFWHixIkAgHHjxqFVq1aIiYkBAEyfPh19+/bFwoULMXToUGzYsAHJyclYuXKlxnlVKhViY2OxcOFCHVwWERERGTutk5jIyEhcvXoVc+bMQV5eHvz9/REXFyd23s3KyoJc/qCCp2fPnli/fj3ee+89zJo1C97e3tiyZQt8fX01zrthwwYIgoCxY8c+5iURUWPgsGcikprW88ToI84TQ9T4GjOJYcJEZJwadZ4YIiIiIn3BJIaIiIgMEpMYIiIiMkhMYoiIiMggMYkhIiIig8QkhoiIiAwSkxgiIiIySFpPdkdEpEsqlQpnzpxBRkYGvL290a1bN40JM4mIasMkhoga1d27d7F06VLs2bMHp0+fxuXLlzVed3JywsCBAxEeHo7w8HBxNnAior9jEkNEjebSsUvo/GZnZGZm1lrm2rVrWL9+PdavXw8zMzP8+9//htpfDbmCtTNEpIlJDBE1uNsFt5G4KhGXjlzS2O/g4IDOnTujc+fO8PDwQHJyMnbv3o3bt28DAMrKyjB//nw4+zij/9v90dS5qRThE5GeYhJDRA3q3O5zOLT8EMpLysV9/fv3x5dffonOnTtDJpNplC8tLcXhw4fx888/Y8mSJSgvL0f+2Xxsmr4JfV7vg3Z92zX2JRCRnmL9LBE1mHMJ57B/8X4xgbFuZo3169dj9+7d8PX1rZbAAIC5uTn69OmDzz//HIcOHYKXlxcAoPRuKfYs3IP9S/ZDXa5u1OsgIv3EJIaIGsT5A+dxYMkBcdtnoA8iv4rE2LFja0xeatKjRw+kpaWhXb8HtS/n4s/h8OrDOo+XiAwPkxgi0rmMpAzsXbQXgloAAPgO90WfKX1gYWuh9bns7OzQP6o/+r3VDzJ5RfJzauspnNx6UqcxE5HhYRJDRDqVlZKFhE8TxATGJ9wHIS+H1Ln2pTbt+7dHnzf6iNtJ3yYhIynjsc5JRIaNSQwR6czVv64iPiYe6rKKPiveod7o83qfx05gKvkM9METzz1RsSEAexbuQf7ZfJ2cm4gMD5MYItKJsuIy7Fm0R+zE26ZXG/R9s6/YBKQr3V/oDu9QbwBAeUk5dn24C4W5hTr9GURkGJjEEJFOHFlzBIU5FclEi3YtEBoV2iAT1MlkMjw59Um4dnEFANxX3ceeRXs4YonIBDGJIaLHdjn1Mk7/ehoAoLBQIDQqFApzRYP9PIW5Ak9FPwX7VvYAgKt/XsWp7aca7OcRkX7iZHdE9FiK7xRj/+L94nbwhGA4tHaotfzkbZN18nMtm1ii77S+2Bq9FRCA5B+S4RnsCTulnU7OT0T6jzUxRPRYDi0/hKLrRQCAVn6t0HlI50b72cpOSvHnlRWX4eCygxAEodF+PhFJi0kMEdXbhYMXcOHABQCAha0F+k7XfUfeRwn8RyBsnWwBADl/5ODPhD8b9ecTkXSYxBBRvZTcLcHvK38Xt3u/1htNnJo0ehwWNhboM0Vz/pi7N+42ehxE1PiYxBBRvfzx8x+4X3gfAOAZ4om2T7aVLBb3AHdxaYKSIs3kioiMF5MYItJaTk4OTmw5AQCQm8nRY2IPnU1oV189X+4JK3srAEBGYgYup16WNB4ianhMYohIa3PnzhUntes8tLNejAiysrNCyEsh4vaxH46xky+RkWMSQ0RaOXXqFFavXg2gojPvE6OfkDiiB9r1bYfmns0BVCyB8Msvv0gcERE1JCYxRKSVmTNnQq2umB3X/1l/WNlZSRzRAzK5DIEvBorbs2fPRnl5uYQREVFDYhJDRHW2d+9e/PrrrwAAWydb+A7zlTii6twD3dGyfUsAFbVGGzdulDgiImooTGKIqE7UajX+9a9/iduBLwTCzFL/Jv2WyWQI/MeD2pg5c+agtLRUwoiIqKEwiSGiOtm0aROSk5MBAF27dhWHNOujVn6t4Nq1YoHICxcuYM2aNdIGREQNgkkMET2SIAiIiYkRtxcsWNAgK1TrUtW+Me+//z7u378vYTRE1BD0+1OIiPTC7t27kZaWBgAIDAxEeHi4tAHVgbOPM4YNGwYAuHz5MpYvXy5xRESka0xiiOiRPvnkE/H5jBkzJJ/Yrq4+/PBD8fmnn36KkpISCaMhIl2rVxKzbNkyeHp6wsrKCsHBwTh69OhDy8fGxsLHxwdWVlbo0qULduzYUa1Meno6nn76adjb28PW1haBgYHIysqqT3hEpEOpqanYvXs3AKBNmzZ45plnJI6o7vz8/BAREQEAyM3NRWxsrLQBEZFOaZ3EbNy4EVFRUZg7dy6OHz8OPz8/hIeHo6CgoMbyiYmJGDt2LCZNmoTU1FREREQgIiICp06dEstcuHABvXv3ho+PD/bt24cTJ05g9uzZsLLSn/kniEzVp59+Kj5/5513oFAoJIxGe//85z/F54sWLeIsvkRGRCZo+T86ODgYgYGBWLp0KYCKYZdubm6YNm0aZs6cWa18ZGQkioqKsH37dnFfjx494O/vL7ZRjxkzBubm5vj+++/rdREqlQr29vYoLCyEnZ30058TGYuMjAx4e3ujvLwcTk5OyMrKgrW1NQBg8rbJEkf3aCuGr4AgCAgMDERKSgoAYP/+/XjyyScljoyIgMf/+61VTUxJSQlSUlIQFhb24ARyOcLCwpCUlFTjMUlJSRrlASA8PFwsr1ar8euvv6J9+/YIDw9Hy5YtERwcjC1bttQaR3FxMVQqlcaDiHTv888/F2e8nTZtmpjAGBKZTKZRG/P5559LGA0R6ZJWM1Vdu3YN5eXlcHZ21tjv7OyMs2fP1nhMXl5ejeXz8vIAAAUFBbhz5w4+/vhjfPjhh1iwYAHi4uLwzDPPYO/evejbt2+1c8bExGD+/PnahE5EtaitRuW+6j7Wr1wPAFBYKHCh7QWDqH2pyejRo/Huu+8iJycHv/zyC86fP4927fR3nhsiqhvJRydVrsEyYsQI/POf/4S/vz9mzpyJYcOG1TokMjo6GoWFheIjOzu7MUMmMglndpxBWXEZAMDnKR+9WiNJWxYWFpg6dSqAijlvFi9eLHFERKQLWiUxTk5OUCgUyM/P19ifn58PpVJZ4zFKpfKh5Z2cnGBmZoZOnTpplOnYsWOto5MsLS1hZ2en8SAi3SkrKcOpXys638vkMnQZ0UXiiB7fq6++ChsbGwDAd999h1u3bkkbEBE9Nq2SGAsLCwQEBCAhIUHcp1arkZCQgJCQkBqPCQkJ0SgPAPHx8WJ5CwsLBAYG4ty5cxpl/vzzT3h4eGgTHhHpSEZiBu4XVsxw69XTC3ZKw/+i0Lx5c0yYMAEAUFRUhFWrVkkbEBE9Nq2bk6KiorBq1SqsXbsW6enpeP3111FUVISJEycCAMaNG4fo6Gix/PTp0xEXF4eFCxfi7NmzmDdvHpKTk8WqXaBi8qyNGzdi1apVOH/+PJYuXYpt27bhjTfe0MElEpG20uPSxeedhnR6SEnDMn36dHGivsWLF3NhSCIDp3USExkZic8++wxz5syBv78/0tLSEBcXJ3bezcrKwpUrV8TyPXv2xPr167Fy5Ur4+flh06ZN2LJlC3x9fcUyI0eOxPLly/HJJ5+gS5cu+Oabb/DTTz+hd+/eOrhEItLGzaybyDtT0fHeobUDXDq7SByR7rRv315jKYKHjYIkIv2n9Twx+ojzxBDV399HHCWuSsSpbRX9YUImhRh0f5gVw1dU25eQkCBO+/DUU0/ht99+a+ywiOj/Neo8MURk3MqKy/Dnnj8BAApzBbz7e0scke6FhoaiTZs2ACr652VkZEgcERHVF5MYIhJd/P0iSooqFkls07sNrJoa7rDq2sjlckyaNEncXr16tYTRENHjYBJDRKKqHXo7hneUMJKGNWHCBHENqO+++w5lZWUSR0RE9cEkhogAADcu3UD+2Yo5nZq5N4NzR+dHHGG4XF1dMXToUABATk4Odu3aJXFERFQfTGKICMDfamEGdRSHIhurl19+WXz+zTffSBgJEdUXkxgiQllxGf7a9xeAinWSvPsZX4fevxs8eDBcXV0BANu2bdOYGoKIDAOTGCLChYMXxA69bfu0hWUTS4kjanhmZmbiJJ3l5eVYu3atxBERkbaYxBARzu1+sOxHp0HGM0Pvo7z00kvi82+++QZGMG0WkUkxkzoAItKdv09cVxeqPNWDGXrdHNCifQtdh6W32rRpg7CwMOzevRsXLlzA/v370a9fP6nDIqI6Yk0MkYk7v++8+Lx9aHuj79D7d1U7+HJRSCLDwiSGyIQJgiB26IUMaNe3nbQBSSAiIgKOjo4AgJ9//hkqlUriiIiorpjEEJmwgnMFKMwtBAC4+rqiSYsmEkfU+CwtLTFmzBgAwP379/Hzzz9LHBER1RWTGCITJtbCAEa5TlJdvfjii+LzdevWSRgJEWmDSQyRiSovLceFgxcAVMwN4xXiJXFE0gkODkbbtm0BAHv27EFubq7EERFRXTCJITJR2SnZKL5dDADwCvGChY2FxBFJRyaT4fnnnwcAqNVqbNiwQeKIiKguOMSayET9ufdP8bkpzND7KC+88AI++OADAEDMVzE4533uEUdoWjF8RUOERUQPwZoYIhNUfKcYWceyAADWDtZo5d9K4oik16FDB3Tv3h0AcO3CNdzMvilxRET0KExiiEzQhUMXoC5TA6gYVi1X8KMAqKiNqXR+//mHlCQifcBPLiIT9NfeKqOSQtmUVGnMmDGQyys+Fs/vO89lCIj0HJMYIhOjylMhPz0fANDMoxkcvRwljkh/KJVKhIWFAQBuF9wW7xMR6ScmMUQm5uKhi+Jz737eJrfMwKOwSYnIcDCJITIxlXPDAECbXm0kjEQ/jRw5EgoLBYCKvkPlpeUSR0REtWESQ2RCbuXcwvWM6wCAFu1bwE5pJ3FE+qdp06bwDPYEABTfLsbl1MvSBkREtWISQ2RCqjYlte3VVsJI9Fu7fg8Wwrxw6MJDShKRlJjEEJmQqklMm95sSqpNa//WsLCtmMH40pFLKCspkzgiIqoJkxgiE3Ez+yZuXLoBAHD2cTbJFavrSmGuEJuUSu+VskmJSE8xiSEyERodelkL80hVOz1f/P3iQ0oSkVSYxBCZAEEQHvwhlnFUUl208m/1oEnpKJuUiPQRkxgiE3Dz0k3cyr4FAFB2VMLW0VbagAyARpPSXTYpEekjJjFEJqDqCBs2JdUdm5SI9BuTGCIjJwjCg1FJbErSyt+blDjxHZF+YRJDZOSuX7yOwtxCAICLrwtsmtlIHJHhUJgr4BHkAYBNSkT6iEkMkZGr2pTUtjcnuNNW1XvGie+I9AuTGCIjJggCMhIzAAAyuQxeIV4SR2R42KREpL+YxBAZsZuXbkJ1RQUAcOnsAmsHa4kjMjxsUiLSX/VKYpYtWwZPT09YWVkhODgYR48efWj52NhY+Pj4wMrKCl26dMGOHTs0Xp8wYQJkMpnGY9CgQfUJjYiqyEjKEJ97hnhKF4iBqzqii6OUiPSH1knMxo0bERUVhblz5+L48ePw8/NDeHg4CgoKaiyfmJiIsWPHYtKkSUhNTUVERAQiIiJw6tQpjXKDBg3ClStXxMePP/5YvysiIpFGEtPDU7pADFzVtZQyj2SySYlIT2idxCxatAivvPIKJk6ciE6dOmH58uWwsbHBd999V2P5L7/8EoMGDcKMGTPQsWNHfPDBB+jWrRuWLl2qUc7S0hJKpVJ8NGvWrH5XREQAgMLcQtzIrFgrqWX7lmjixLWS6uvvTUo5J3IkjoiIAC2TmJKSEqSkpCAsLOzBCeRyhIWFISkpqcZjkpKSNMoDQHh4eLXy+/btQ8uWLdGhQwe8/vrruH79eq1xFBcXQ6VSaTyISFPm4UzxOZuSHl/VmqzMpEzJ4iCiB7RKYq5du4by8nI4Oztr7Hd2dkZeXl6Nx+Tl5T2y/KBBg/Df//4XCQkJWLBgAfbv34/BgwejvLzmKtuYmBjY29uLDzc3N20ug8gkVG1K4qikx+fWzQ0KCwUA4NKRS1CXqyWOiIj0YnTSmDFj8PTTT6NLly6IiIjA9u3bcezYMezbt6/G8tHR0SgsLBQf2dnZjRswkZ4rul6EgnMV/dSaezSHvau9xBEZPjNLM7h1q/jCdK/wnnh/iUg6WiUxTk5OUCgUyM/P19ifn58PpVJZ4zFKpVKr8gDQpk0bODk54fz58zW+bmlpCTs7O40HET3ApqSGUbVJqWpNFxFJQ6skxsLCAgEBAUhISBD3qdVqJCQkICQkpMZjQkJCNMoDQHx8fK3lAeDy5cu4fv06XFxctAmPiP4fm5IahnugO2RyGYCKRFEQBIkjIjJtZtoeEBUVhfHjx6N79+4ICgrCF198gaKiIkycOBEAMG7cOLRq1QoxMTEAgOnTp6Nv375YuHAhhg4dig0bNiA5ORkrV64EANy5cwfz58/HqFGjoFQqceHCBfzrX/9Cu3btEB4ersNLJTIN91X3ceXUFQCAndIOzT2bSxyR8bBqagXXLq7I+SMHt/Nv40bmDTh6OQIAJm+bXK9zrhi+QpchEpkUrZOYyMhIXL16FXPmzEFeXh78/f0RFxcndt7NysqCXP6ggqdnz55Yv3493nvvPcyaNQve3t7YsmULfH19AQAKhQInTpzA2rVrcevWLbi6umLgwIH44IMPYGlpqaPLJDIdl45egqCuqCHwDPGETCaTOCLj4hniiZw/KoZYZyRliEkMETU+rZMYAJg6dSqmTp1a42s1dcYdPXo0Ro8eXWN5a2tr7Nq1qz5hEFEN2JTUsDyDPfH78t8BVAy17v58d4kjIjJdejE6iYh0o+Ruibi2j01zG7Rs31LiiIyPraOteF9vXLohrk1FRI2PSQyREck+ng11WcX8JZ49PMVOqKRbVUd8ZRzmKCUiqTCJITIiVYdWsymp4XD2XiL9wCSGyEiUlpYiO6Vi4kcLWwu4dOYUBQ3FoZUDmrlVrO+Wfy4fd2/elTgiItPEJIbISOzfvx8lRSUAAPfu7pCb8b93QxKblISKla2JqPHxU47ISPzyyy/ic49gDwkjMQ1Vm5QuHb4kXSBEJoxJDJEREARBTGLkZnJxjR9qOE5tnWDrZAsAyDmRg5K7JRJHRGR6mMQQGYG0tDRxIVTXLq6wsLGQOCLjJ5PJ4BFUUeOlLlOLQ9uJqPEwiSEyAlWbkjyDPaULxMRUvdfsF0PU+JjEEBkB9oeRhouvC8ytzQEA2cnZUJerJY6IyLQwiSEycJmZmUhLSwMAtGjXAraOttIGZEIU5gq4BVT0Pyq+U4y8M3kSR0RkWpjEEBm4rVu3is89erAWprFVbVK6dJSjlIgaE5MYIgPH/jDScgtwg0xRsbxD5pFMCIIgcUREpoNJDJEBu3nzJvbv3w8AaNOmDZq5N5M4ItNj2cRSnB35dt5t3My6KXFERKaDSQyRAduxYwfKy8sBACNGjIBMxgUfpaDRpHSETUpEjYVJDJEBq9qUNGLECAkjMW2V88UAQObRTOkCITIxTGKIDFRxcTHi4uIAAM2bN0evXr0kjsh0NXVuiuaezQEAV/+8iqLrRRJHRGQamMQQGaj9+/fj9u3bAIChQ4fCzMxM4ohMW9UmpaxjWdIFQmRCmMQQGaht27aJz59++mkJIyGATUpEUuBXNyIDJAiCOD+Mubk5Bg4cKHFE+mnytsmN9rOc2jnB1tEWRdeLkPtHLkrvlYqz+RJRw2BNDJEBOnnyJLKyKposQkNDYWdnJ3FEVHVByPLSclxO44KQRA2NSQyRAao6Sy+bkvSHe5C7+Jyz9xI1PCYxRAaoan+YYcOGSRgJVeXaxRVmVhWt9FnJWVwQkqiBMYkhMjBXrlzB0aNHAQB+fn7w8OB6SfrCzMIMrf1bAwDuF97H1b+uShwRkXFjEkNkYH799Vfx+fDhwyWMhGpSdZQSm5SIGhaTGCIDw/4w+s29uzvw/6s/MIkhalhMYogMyN27d7F7924AgIuLCwICAiSOiP7O2sEazh2cAQA3s25ClaeSOCIi48UkhsiAJCQk4N69ewAqOvTK5fwvrI/cAx+MUuLsvUQNh5+ARAaETUmGgf1iiBoHkxgiA6FWq7F9+3YAgLW1NQYMGCBxRFSbZu7N0LRlUwBA7qlclBSVSBwRkXFiEkNkIJKTk5GXlwcAeOqpp2BtbS1xRFQbmUwGj+CK2hihXEB2arbEEREZJyYxRAai6gR3HFqt/6r2i7l0hE1KRA2BSQyRgeAsvYbFpbMLzG0qFoDMTsnm7L1EDYBJDJEByMrKwh9//AEACAoKglKplDgiehSFuQJu3dwAAMV3ipGfni9xRETGh0kMkQFgU5Jh8gjkKCWihlSvJGbZsmXw9PSElZUVgoODxXVcahMbGwsfHx9YWVmhS5cu2LFjR61lX3vtNchkMnzxxRf1CY3IKDGJMUxu3d0gk1dM33vpGJMYIl3TOonZuHEjoqKiMHfuXBw/fhx+fn4IDw9HQUFBjeUTExMxduxYTJo0CampqYiIiEBERAROnTpVrezmzZtx+PBhuLq6an8lREbq9u3b2Lt3LwDAzc0NXbt2lTgiqiurplZw9qmYvbcwpxC3cm5JGxCRkdE6iVm0aBFeeeUVTJw4EZ06dcLy5cthY2OD7777rsbyX375JQYNGoQZM2agY8eO+OCDD9CtWzcsXbpUo1xOTg6mTZuGdevWwdzcvH5XQ2SE4uPjUVJSMc/I8OHDIZPJJI6ItFE51BoAso5y9l4iXdIqiSkpKUFKSgrCwsIenEAuR1hYGJKSkmo8JikpSaM8AISHh2uUV6vV+Mc//oEZM2agc+fOj4yjuLgYKpVK40FkrNiUZNg0+sWwSYlIp7RKYq5du4by8nI4Oztr7Hd2dhYn4fq7vLy8R5ZfsGABzMzM8Oabb9YpjpiYGNjb24sPNzc3bS6DyGCUl5fj119/BQDY2tqiX79+0gZEWnNo7QB7V3sAQN6ZPNy/fV/iiIiMh+Sjk1JSUvDll19izZo1da4mj46ORmFhofjIzuZsmGScjh49iqtXrwIABg4cCCsrK4kjovqonPhOUAvITuHnFZGuaJXEODk5QaFQID9fc76D/Pz8WuetUCqVDy1/8OBBFBQUwN3dHWZmZjAzM8OlS5fw9ttvw9PTs8ZzWlpaws7OTuNBZIyqNiVxwUfDpbEgJJuUiHRGqyTGwsICAQEBSEhIEPep1WokJCQgJCSkxmNCQkI0ygMVHRUry//jH//AiRMnkJaWJj5cXV0xY8YM7Nq1S9vrITIqlatWy2QyDBkyROJoqL6UHZWwsLUAAFw+fhnqMs7eS6QLZtoeEBUVhfHjx6N79+4ICgrCF198gaKiIkycOBEAMG7cOLRq1QoxMTEAgOnTp6Nv375YuHAhhg4dig0bNiA5ORkrV64EADg6OsLR0VHjZ5ibm0OpVKJDhw6Pe31EBisjIwOnT58GAPTo0QMtW7aUOCKqL7mZHO7d3XF+/3mUFJXgyukraOXXSuqwiAye1klMZGQkrl69ijlz5iAvLw/+/v6Ii4sTO+9mZWVBLn9QwdOzZ0+sX78e7733HmbNmgVvb29s2bIFvr6+ursKIiPEUUnGxT2wIokBKmbvZRJD9PhkgiAIUgfxuFQqFezt7VFYWMj+MWQ0nnrqKezevRsAcPLkyTol/pO3TW7osKieiu8U47//+C+EcgFNlU0xZsUYyGQyrBi+QurQiCTzuH+/JR+dRETVFRYWYv/+/QAAT0/POs2fRPrNsoklXDq5AABu593Grexb0gZEZASYxBDpoV27dqG0tBRAxagkztJrHNyD3MXnHKVE9PiYxBDpocpRSQCHVhsTrmpNpFtMYoj0TFlZmbjSu52dHfr06SNxRKQr9q72cHBzAADkn83HvcJ70gZEZOCYxBDpmd9//x03b94EAAwePBgWFhYSR0S6JNbGCEB2MmfvJXocTGKI9Aybkoxb1dl7M49mShcIkRFgEkOkRwRBEJMYhUKBwYMHSxwR6VrLDi1hZVexBtbl1Mu4f58LQhLVF5MYIj1y7tw5nD9fMSFanz590KxZM4kjIl2TK+TigpBl98uwd+9eiSMiMlxaz9hLRA2nalPS/bb3OXmdkfII8sCfCX8CqPids8aNqH5YE0OkR6omMVWH45Jxae3fGgpzBYCK37kRTJxOJAkmMUR64urVq0hKSgIAOLg5wN7VXuKIqKGYW5vD1c8VAJCbm4vjx49LHBGRYWISQ6QnduzYAbVaDUBzBAsZp6q/46o1cERUd0xiiPSERlMSkxijV7W5kEkMUf0wiSHSA/fv38euXbsAAE5OTmjZvqXEEVFDs3W0RYt2LQAAaWlpyMrKkjgiIsPDJIZID+zbtw9FRUUAgGHDhkGu4H9NU+AR/KA2Ztu2bRJGQmSY+ElJpAd++eUX8fnw4cMljIQaE/vFED0eJjFEElOr1eIfMEtLSwwcOFDiiKixNPdsDg+PikRm7969UKlUEkdEZFiYxBBJLCUlBbm5uQCAsLAwNGnSROKIqLHIZDJxfazS0lKxXxQR1Q2TGCKJbdmyRXweEREhWRwkjaqLfFZtViSiR2MSQySxyj9cMpmM/WFM0JNPPgk7OzsAwK+//orS0lKJIyIyHExiiCR04cIFnD59GgDQo0cPODs7SxwRNTYLCwsMGTIEAHDr1i0cOHBA4oiIDAeTGCIJVW0+YFOS6ar6u2eTElHdMYkhklDV/jAjRoyQLhCS1ODBg2Fubg6g4j3BBSGJ6oZJDJFErl27ht9//x0A0KFDB3To0EHiiEgqdnZ2GDBgAAAgOzsbqampEkdEZBiYxBBJZPv27eKCj6yFoapNSlVr6IiodkxiiCTC/jBUVdWRaUxiiOqGSQyRBO7evStObObs7Izg4GCJIyKpubq6iu+DkydP4uLFixJHRKT/mMQQSWD37t24d+8egIpv4HI5/ysSRykRaYufnEQSYFMS1YT9Yoi0wySGqJGVl5dj27ZtAABbW1txVAqRj4+POErt0KFDuHr1qsQREek3JjFEjSwxMVH84xQeHg4rKyuJIyJ9UjlSTa1WY/v27RJHQ6TfmMQQNbKff/5ZfP7MM89IGAnpI/aLIao7JjFEjUgQBDGJMTc3x9ChQyWOiPRNcHCwuIbWb7/9hrt370ocEZH+MpM6ACJTcvz4cWRlZQEA+vfvDwcHB2kDIslN3ja52r5m/s2Qvysf9+7dQ8SHEfAK8apWZsXwFY0RHpFeY00MUSNiUxLVhWcPT/F5RlKGdIEQ6bl6JTHLli2Dp6cnrKysEBwcjKNHjz60fGxsLHx8fGBlZYUuXbpgx44dGq/PmzcPPj4+sLW1RbNmzRAWFoYjR47UJzQivbZ582YAgEwm41IDVKtWXVvB3KZiQcisY1koLy2XOCIi/aR1ErNx40ZERUVh7ty5OH78OPz8/BAeHo6CgoIayycmJmLs2LGYNGkSUlNTERERgYiICJw6dUos0759eyxduhQnT57EoUOH4OnpiYEDB3J4IRmV9PR0pKenAwB69+4t9nsg+juFuQIegR4AgJKiEuSeyJU4IiL9pHUSs2jRIrzyyiuYOHEiOnXqhOXLl8PGxgbfffddjeW//PJLDBo0CDNmzEDHjh3xwQcfoFu3bli6dKlY5vnnn0dYWBjatGmDzp07Y9GiRVCpVDhx4kT9r4xIz1TWwgBsSqJH8+r5oB8Mm5SIaqZVElNSUoKUlBSEhYU9OIFcjrCwMCQlJdV4TFJSkkZ5oGJujNrKl5SUYOXKlbC3t4efn1+NZYqLi6FSqTQeRPquan8YztJLj+LWzQ1mlhVjLzIPZ0JdrpY4IiL9o1USc+3aNZSXl1erBnd2dkZeXl6Nx+Tl5dWp/Pbt29GkSRNYWVnh888/R3x8PJycnGo8Z0xMDOzt7cWHm5ubNpdB1OguXbqElJQUAEC3bt3g6ekpbUCk98wszeAWUPHZdl91H3lnav6MJTJlejM6KTQ0FGlpaUhMTMSgQYPw3HPP1drPJjo6GoWFheIjOzu7kaMl0k7VdXDYlER1VXVoNZuUiKrTKolxcnKCQqFAfn6+xv78/Hwolcoaj1EqlXUqb2tri3bt2qFHjx749ttvYWZmhm+//bbGc1paWsLOzk7jQaTPOLSa6sM90B1ys4qP6cykTAhqQeKIiPSLVkmMhYUFAgICkJCQIO5Tq9VISEhASEhIjceEhIRolAeA+Pj4WstXPW9xcbE24RHppfz8fBw8eBAA0KFDB3Ts2FHiiMhQWNhYoLV/awBA0fUiXP2LIzaJqtK6OSkqKgqrVq3C2rVrkZ6ejtdffx1FRUWYOHEiAGDcuHGIjo4Wy0+fPh1xcXFYuHAhzp49i3nz5iE5ORlTp04FABQVFWHWrFk4fPiw2G/gpZdeQk5ODkaPHq2jyySSztatWyEIFd+gWQtD2vIM8RSfX0y8KF0gRHpI6yQmMjISn332GebMmQN/f3+kpaUhLi5O7LyblZWFK1euiOV79uyJ9evXY+XKlfDz88OmTZuwZcsW+Pr6AgAUCgXOnj2LUaNGoX379hg+fDiuX7+OgwcPonPnzjq6TCLpbNq0SXw+cuRICSMhQ+QZ7AmZXAbg/5uUBDYpEVWSCUbwP0KlUsHe3h6FhYXsH0N65fr163B2dkZ5eTk8PDyQkZEBmUz2yONqWk+HTNf297aLE96N+nIUHL0cuXYSGYXH/futN6OTiIzRli1bUF5eMWX86NGj65TAEP2dxsR3iRylRFSJSQxRA4qNjRWfs48X1ZdXDy/g//NfJjFEDzCJIWog169fx+7duwEAHh4eCAwMlDgiMlQ2zW3g7FPR7/Bm9k3cyLohcURE+oFJDFEDYVMS6VLb3m3F5xcPcZQSEcAkhqjBsCmJdMmr54MmpYuHLnKUEhGYxBA1CDYlka7ZOtrCpZMLAODW5Vs4efKkxBERSc9M6gCIjFHVpiT7bvZ4bftrEkdExqBN7za4crpiHq7//e9/6Nq1q8QREUmLNTFEDaBqU1KbXm0kjISMiVdPL3Hiu40bN7JJiUwekxgiHavalNSkZRO08G4hcURkLGya2cClc0WT0vnz55GWliZtQEQSYxJDpGNVm5La9GzDUUmkU236PKjZ+9///idhJETSYxJDpGMaTUm92ZREuuUVwiYlokpMYoh06O+jktiURLpmbW8N1y6uAICMjAykpKRIHBGRdJjEEOnQTz/9JDYlPfvss2xKogbRts+Die82btwoYSRE0mISQ6RD69evF58///zzEkZCxsyzhycUCgWAin4xbFIiU8UkhkhHsrOzceDAAQBAhw4d8MQTT0gcERkrKzsrhIWFAQCysrJw5MgRiSMikgaTGCIdqdrJ8vnnn2dTEjWoyMhI8fmPP/4oYSRE0mESQ6QjVZuSxo4dK2EkZApGjhwJCwsLAMCGDRtQVlYmcUREjY9JDJEOpKenIzU1FQAQGBgIb29viSMiY+fg4IBhw4YBAAoKCpCQkCBxRESNj2snEdXR5G2Ta30teV2y+Nysq9lDyxLpyosvvoiff/4ZALBu3TqEh4dLHBFR42JNDNFjEgQB5/efr9iQaQ5/JWpIQ4YMgYODAwBg8+bNKCoqkjYgokbGJIboMV396ypUeSoAQKuurWDT3EbiiMhUWFpa4tlnnwUA3LlzB1u3bpU4IqLGxSSG6DGJtTAA2j7JWhhqXC+88IL4fN26dRJGQtT4mMQQPQZ1uRoXDl0AAMjN5PAK8ZI4IjI1Tz75JFq3bg0A2LVrF65duyZxRESNh0kM0WO4cuoK7t28BwBw7+4OyyaWEkdEpkYul4uzQ5eVlXFlazIpTGKIHsNf+/4Sn7fr207CSMiUsUmJTBWTGKJ6Kr1fiozEDACAuY053Lu7SxwRmaquXbvC19cXAJCYmIiLFy9KHBFR42ASQ1RPmUmZKL1XCgBo27stzCw57RJJp2ptTNXZo4mMGZMYonr6c8+f4vP2/dtLGAmR5qrp69at48rWZBKYxBDVw52rd5BzIgcAYOdiB+eOzhJHRKbO3d0dTz75JADg7NmzOHr0qMQRETU8JjFE9fDn3j+B//+i275/e65YTXphwoQJ4vPVq1dLFwhRI2ESQ6QlQRDwZ8L/NyXJ2JRE+mP06NGwtbUFAPz444+4e/euxBERNSwmMURayk/Ph+rKg2UGmrRoInFERBWaNGmC5557DgCgUqmwefNmiSMialhMYoi0VLVDr3d/bwkjIapu4sSJ4nM2KZGxYxJDpIWy4jJxmQFza3MuM0B6p3fv3mjXrmLixYSEBGRmZkobEFEDYhJDpIXMw5kovVsxN0ybXm1gbmUucUREmmQymUZtzNq1ayWMhqhh1SuJWbZsGTw9PWFlZYXg4OBHDuWLjY2Fj48PrKys0KVLF+zYsUN8rbS0FO+++y66dOkCW1tbuLq6Yty4ccjNza1PaEQN6lzCOfE5O/SSvho3bhzk8oqP9zVr1kCtVkscEVHD0DqJ2bhxI6KiojB37lwcP34cfn5+CA8PR0FBQY3lExMTMXbsWEyaNAmpqamIiIhAREQETp06BQC4e/cujh8/jtmzZ+P48eP4+eefce7cOTz99NOPd2VEOnbn2h3k/FExN0xTZVMoOykljoioZq1bt8bAgQMBAJmZmdi3b5+0ARE1EJmg5bSOwcHBCAwMxNKlSwEAarUabm5umDZtGmbOnFmtfGRkJIqKirB9+3ZxX48ePeDv74/ly5fX+DOOHTuGoKAgXLp0Ce7uj16PRqVSwd7eHoWFhbCzs9PmcojqrPvz3ZHyYwoAIGBsAALGBkgcEZmyFcNXPPT1//3vf4iMjAQAvPjii/j+++8bIywirTzu32+tamJKSkqQkpKCsLCwByeQyxEWFoakpKQaj0lKStIoDwDh4eG1lgeAwsJCyGQyODg41Ph6cXExVCqVxoOoIZWVleFs/FkAgEwuQ4ewDhJHRPRwI0aMQPPmzQEAmzZtQmFhocQREemeVknMtWvXUF5eDmdnzSnWnZ2dkZeXV+MxeXl5WpW/f/8+3n33XYwdO7bWrCwmJgb29vbiw83NTZvLINLazp07UXStCADgFuDGuWFI71laWorrKd2/fx8bNmyQOCIi3dOr0UmlpaV47rnnIAgCvv7661rLRUdHo7CwUHxkZ2c3YpRkilauXCk+7zioo4SRENXdSy+9JD5fsWIFF4Uko6NVEuPk5ASFQoH8/HyN/fn5+VAqa+7kqFQq61S+MoG5dOkS4uPjH9o2ZmlpCTs7O40HUUPJzs4WR9TZOtnCrRtr/sgwPPHEEwgMDAQApKamclFIMjpaJTEWFhYICAhAQkKCuE+tViMhIQEhISE1HhMSEqJRHgDi4+M1ylcmMH/99Rd2794NR0dHbcIialDffPONOETVZ6AP5Aq9qsAkeqjXX39dfP6wGm4iQ6T1p3FUVBRWrVqFtWvXIj09Ha+//jqKiorEyZXGjRuH6Ohosfz06dMRFxeHhQsX4uzZs5g3bx6Sk5MxdepUABUJzLPPPovk5GSsW7cO5eXlyMvLQ15eHkpKSnR0mUT1U1ZWhm+++QZARYden6d8JI6ISDuRkZHiIImNGzfixo0b0gZEpENaJzGRkZH47LPPMGfOHPj7+yMtLQ1xcXFi592srCxcuXJFLN+zZ0+sX78eK1euhJ+fHzZt2oQtW7bA19cXAJCTk4OtW7fi8uXL8Pf3h4uLi/hITEzU0WUS1c+vv/4qTrzoHugOW0dbiSMi0o6NjQ3Gjx8PoKKD75o1a6QNiEiHtJ4nRh9xnhhqKEOGDMHOnTsBAIPmDoJ7wKPnLSJqDI+aJ6aqs2fPomPHig7p3t7eOHv2rDijL5GUGnWeGCJTkpmZibi4OACAh4cHWvu3ljgiovrx8fFBaGgoAOCvv/7Cnj17JI6ISDeYxBDV4ptvvhGHpL788svs0EsGjR18yRjxU5moBsXFxWKHXoVCoTHfBpEhioiIEKe2+OWXX5CTkyNxRESPj0kMUQ02btwozm80cuRIuLq6ShwR0eMxNzfHyy+/DAAoLy8Xk3QiQ8aOvUR/IwgCAgICkJqaCgA4dOgQevXqhcnbJkscGdHjec//PXh6ekKtVqNVq1bIzMyEmZmZ1GGRCWPHXiIdO3TokJjAdO/eHT179pQ4IiLdcHNzw7BhwwBUTG/x008/SRwR0eNhEkP0N1988YX4fPr06ZDJZNIFQ6Rj06dPF58vXLiQ6ymRQWM9IpmchzUL3c6/jc1bNgMArJtZY5/NPhzcdrCxQiNqcKGhofDz88Mff/yBY8eOITExEb169ZI6LKJ6YU0MURWnfz0NQV3xzbTz4M5QmCskjohIt2QyGaKiosTtRYsWSRgN0eNhEkP0/0rvleJs/FkAgMJcgY6DOkocEVHDGDNmDFxcXAAAmzdvxoULFySOiKh+mMQQ/b8/9/yJkqKKRUfb9W0HawdriSMiahgWFhbiIryCIGDx4sUSR0RUP0xiiAAIagGntp8St32H+0oYDVHDmzx5MqytKxL1b7/9Frdu3ZI2IKJ6YBJDBCA7JRuFOYUAANcurnD0cpQ4IqKG5ejoiAkTJgAAioqKsGrVKmkDIqoHJjFk8gRBQGpsqrjt+zRrYcg0vPXWW+LzxYsXo7S0VLpgiOqBSQyZvLzTecg/W7HEQDO3ZvAI9JA4IqLG0b59ewwfPhwAcPnyZcTGxkocEZF2mMSQyataC+P/rD9kck5uR6aj6nDrBQsWQK1WSxgNkXaYxJBJu/rXVVxOvQwAaOrcFG2fbCtxRESNq2/fvggMDAQAnDhxAtu2bZM4IqK6YxJDJi1104NaGL9RfpAr+F+CTItMJsPs2bPF7Q8++IBLEZDB4Cc2maybWTeRmZQJALBpboP2/dtLGxCRRIYNGwZ/f38AQEpKCuLi4qQNiKiOmMSQyUr7KU183nVEV5hZcCkxMk0ymQzvvfeeuP3++++zNoYMApMYMkmqPBXO7z8PALBsasklBsjkjRw5Ep07dwYAHD58GAkJCRJHRPRoTGLIJJ3YfEJc6NF3uC/Mrc0ljohIWnK5XKM25oMPPpAwGqK6YRJDJud2wW1xoUdza3N0HtpZ4oiI9MPo0aPRoUMHAMCBAwdw4MABiSMiejgmMWRyUn5MgbqsYi6MzkM6w6qplcQREekHhUKBWbNmidusjSF9xySGTEp6ejr+2vsXAMDC1gJ+o/wkjohIvzz//PNo06YNAGD37t04ePCgxBER1Y5JDJmU2bNni31h/J7xg2UTS4kjItIvZmZm+Pe//y1uv/vuuxypRHqLY0rJZCQnJ+Onn34CAFg7WMN3OBd6JNMyedvkOpVTN1fDwc0Bt7JvISkpCVu2bMHIkSMbODoi7bEmhkxG1bb+bpHdYG7FEUlENZEr5AgaFyRuR0dHo6ysTMKIiGrGJIZMwt69exEfHw+gYo0kn4E+EkdEpN88gjzg3NEZAHDu3DmsXr1a4oiIqmMSQ0ZPEARER0eL2wHPB0BhrpAwIiL9J5PJEDwhWNyeO3cuioqKJIyIqDomMWT0fvnlFxw5cgQA0LlzZ7R7sp3EEREZBmVHJTx7eAIArly5gi+//FLagIj+hkkMGbX79+/j7bffFrc//PBDrlRNpIWgcUGQyyv+zyxYsADXrl2TOCKiB/hpTkZt0aJFuHjxIgCgX79+GDFihMQRERkWh9YOmDRpEgBApVJxAjzSK0xiyGhdvnwZH330EYCKdWEWL14MmUwmcVREhmfevHmwtrYGACxbtgwnT56UOCKiCkxiyGjNmDEDd+/eBQC88cYb6NKli8QRERkmV1dXcYqC8vJyTJkyhRPgkV6o12R3y5Ytw6effoq8vDz4+flhyZIlCAoKqrV8bGwsZs+ejczMTHh7e2PBggUYMmSI+PrPP/+M5cuXIyUlBTdu3EBqair8/f3rExoRgIrF6zZs2AAAcHR0xPvvvy9xRESGa/K2ySjvVA47Fzuorqhw8OBB9I/qj/b92z/0uBXDVzRShGSqtK6J2bhxI6KiojB37lwcP34cfn5+CA8PR0FBQY3lExMTMXbsWEyaNAmpqamIiIhAREQETp06JZYpKipC7969sWDBgvpfCdH/Kysrw7Rp08Tt//znP2jWrJmEEREZPoW5Ar0m9xK3j6w+guI7xRJGRATIBC3rBIODgxEYGIilS5cCANRqNdzc3DBt2jTMnDmzWvnIyEgUFRVh+/bt4r4ePXrA398fy5cv1yibmZkJLy8vrWtiVCoV7O3tUVhYCDs7O20uh4zQ119/jTfeeAMA0K1bNxw9ehQKxYN5Yeo69ToRVRf/cTwyEjMAAJ2HdtZIbP6ONTH0KI/791urmpiSkhKkpKQgLCzswQnkcoSFhSEpKanGY5KSkjTKA0B4eHit5euiuLgYKpVK40EEAHl5eRqL1y1evFgjgSGixxMyKQRmlhU9Ec7sPINrFzjkmqSjVRJz7do1lJeXw9nZWWO/s7Mz8vLyajwmLy9Pq/J1ERMTA3t7e/Hh5uZW73OR8RAEAVOmTMHNmzcBAC+++CJ69ar9WyIRaa9JiyboNqYbAEBQCzi0/JC4MjxRYzPI0UnR0dEoLCwUH9nZ2VKHRHogNjYWP//8MwCgRYsWWLRokcQRERmnLk93gUNrBwBAwbkCnN5xWtqAyGRplcQ4OTlBoVAgPz9fY39+fj6USmWNxyiVSq3K14WlpSXs7Ow0HmTarl69iilTpojbS5cuRYsWLSSMiMh4KcwV6P1ab3H7yJojKMwtlDAiMlVaJTEWFhYICAhAQkKCuE+tViMhIQEhISE1HhMSEqJRHgDi4+NrLU9UH2+++aY4HfozzzyD0aNHSxwRkXFz7eqKTkM6AQDKS8qx74t9UJerJY6KTI3WzUlRUVFYtWoV1q5di/T0dLz++usoKirCxIkTAQDjxo3TWDF4+vTpiIuLw8KFC3H27FnMmzcPycnJmDp1qljmxo0bSEtLw5kzZwBULPuelpb2WP1myHRs2bJFnBOmefPm+OqrrzgzL1EjCJ4QDDtlRU14/tl8nNhyQuKIyNRoncRERkbis88+w5w5c+Dv74+0tDTExcWJnXezsrJw5coVsXzPnj2xfv16rFy5En5+fti0aRO2bNkCX19fsczWrVvxxBNPYOjQoQCAMWPG4Iknnqg2BJvo727cuIHXXntN3F68eHG1juRE1DDMrczR761+wP9/Z0hel4wbl25IGhOZFq3nidFHnCfGNAmCgOeeew6bNm0CAAwbNgxbt259ZC0M54kh0q3Dqw/jxOaKWhjHNo4Y+dlIyM3knCeGHqlR54kh0idff/21mMA4ODhg+fLlbEYikkD3F7qjmVvFrNjXL17H8Y3HJY6ITAWTGDJIqamp+Oc//ylur169Gq1atZIwIiLTZWZhhn7/7AeZvOJLxPH/Hcfl1MvSBkUmgUkMGRyVSoXnnnsOJSUlACo6j0dEREgbFJGJa9GuBQKeD6jYEIA9C/dwDi9qcExiyKAIgoBXX30V58+fBwB0794dn3zyicRREREAPPHsE3DrXjGD+n3VfYwePVr8skHUEJjEkEFZuXIlNm7cCACws7PDxo0bYWFhIXFURAQAMrkMof8MRdOWTQEAR44cwTvvvCNxVGTMmMSQwUhKSsL06dPF7e+++w5t2rSRMCIi+jurplYImxkGuVnFn5clS5aI8zgR6RqTGDIIGRkZGDFiBIqLiwEAU6ZMwahRoySOiohq0qJdC/R69cHiqy+//DJOnjwpYURkrJjEkN67desWhg4diqtXrwIAQkNDubgjkZ7zCffB+PHjAQBFRUUYMmQILl/miCXSLTOpAyACap+ATl2mxs73dyInPQcAYN/KHu6vuGParmmcSItIj8lkMnz11Vc4c+YMjh07hsuXL2PIkCE4ePAg7O3tpQ6PjARrYkhvCYKAQysOISetIoGxbGqJwXMGw7KJpcSREVFd2NjYYNu2bWLftZMnT+KZZ57hiCXSGSYxpLfSNqXh7K6zAAC5mRzh/w6HnQuXlSAyJM7Ozti5cyccHR0BAHv27MFLL70EtZorXtPjY3MS6aUTW07g2PfHxO1+0/tB2UkpYUREpK2qzcS93+2N7e9tR3lJOdatW4eTd08ieEJwtaVC2ExM2mBNDOmdU9tO4fB3h8XtoPFBaNe3nYQREdHjcvZxxoB3BogrXp/YfAJH/3sURrAGMUmISQzpldM7TiNxVaK43f357vAf5S9dQESkM549PNH7td7i9h8//YEjq48wkaF6Y3MS6Y30uHT8vvx3cbvbmG7oNqZbreVrG9FERPqr0+BOAIBDXx8CUNF0rC5XI+TlEK5CT1pjEkOSEwQBaT+l4ejao+I+/2f9ETA2QMKoiKihdBrcCXKFHAeWHQCEiiZkdblaY4I8orpgEkOSKisrw5tvvqmRwHQd2RWB/wjktzIiI+Yz0AcyhQz7F+8HBODMjjMovl2MewPvwdraWurwyECwTwxJpqioCCNHjsTXX38t7gt8MbDGEQtEZHw6DOiA0LdCIZNX/H+/cPAC+vfvj/z8fIkjI0PBJIYkkZ+fj379+mH79u0AAJlChn7/7IcnnnuCCQyRCfEO9cbAWQNhZlXRMHD48GEEBQVxrSWqEyYx1OgOHDiAbt26ITk5GQBgZ2eHIfOGoH1oe4kjIyIpeAR5YMSCEbB1sgUAZGVloWfPnuKXHKLaMImhRqNWq/Gf//wHoaGhyM3NBQC0bt0ahw4dQiu/VhJHR0RScvRyxMjPRiIwMBAAcOfOHQwfPhxvv/22uHo90d8xiaFGUVBQgMGDB+Pf//63ON14aGgojh07hi5dukgcHRHpA5vmNti3bx9Gjx4t7lu0aBFCQkJw7tw5CSMjfcUkhhrcL7/8An9/f/z2228AKla3nTt3LuLj46FUcikBInrAxsYGGzZswBdffAELCwsAQGpqKrp164ZvvvmGE+ORBiYx1GCuXLmCZ599FhEREbhy5QqAisXg4uPjMW/ePCgUCokjJCJ9JJfLMX36dBw9ehQdO3YEANy9exevvPIKBg0ahPPnz0scIekLJjGkc2q1GitXrkTHjh3x008/ifsHDRqEtLQ0DBgwQMLoiMhQ+Pn5ITk5Ga+99pq477fffoOvry/mzZuH+/fvSxgd6QMmMaRT+/btQ0hICCZPnozCwkIAQIsWLbBu3Trs2LGDzUdEpBUbGxt8/fXX2Lp1K9zc3AAAxcXFmD9/Pnx9fbFjxw42MZkwJjGkE2lpaRg0aBBCQ0Nx9OiD2XfHjx+P9PR0PP/885z/hYjqbfjw4UhPT8e7774LM7OKOWUuXLiAoUOHok+fPti7d6/EEZIUZIIRpLAqlQr29vYoLCyEnZ2d1OGYlBMnTuDjjz/Gjz/+qLHf19cXn3/+OcLCwup0Hi7mSEQAsGL4ikeWOXPmDN544w3s379fY79rF1d0f6E7lJ3qXuNbl59HDedx/36zJoa0JggC4uLi8NRTT8HPz08jgfHw8MDatWuRlpZW5wSGiEgbnTp1wt69exEbGyt2/AWA3JO52DpzK3559xdcOHQB6jK1hFFSY+ACkFRnN27cwIYNG7Bs2TKcOXNG4zVHR0e89957eP3112FpaSlRhERkKmQyGZ599lmMHDkSGzZswBsz3oDqigoAkJ+ej/z0fNg62qLjoI7oGN4R1g5cVNIYsTmJHqq0tBRxcXFYu3Yttm3bhpKSEo3X27Zti7feegsTJkxAkyZN2CxERJJQl6vx554/cWLLCdzKvqXxmkwhg9sTbmjXtx08gj1gbmUuvsbmJGk97t9v1sRQNXfv3sXu3buxdetWbN26FVevXq1WplevXnj77bfx9NNPc74XIpKcXCGHz1M+6BDWAbkncnFq2ylcOnYJEAChXEBWchaykrNgZmkGzx6e8Ozhidb+raUOmx4TkxiCIAg4d+4c9u3bh507dyI+Ph737t2rVq5ly5Z44YUXMH78ePj5+UkQKRHRw8lkMrTya4VWfq2gylMhfVc6zu8/j6JrRQCAsuIynN9/Huf3n4dMIUPmikwMGTIEgwYNQufOnSGXs6uoIWFzkgkqLi7GyZMncfToUezfvx/79+9Hfn5+jWVtbGwwZMgQjB8/HuHh4TA3N6+xXCU2JxGRvhHUAvLO5OGv/X8h4/cMFN+peUFJyyaWcO7oDGUnJVw6u8CxjSPMLKp/12cTlO6wOYke6urVqzhz5gzS09ORlpaG5ORknDhxAqWlpbUeo1QqMXz4cIwYMQL9+/eHtTU7xBGR4ZLJZXDxdYGLrwt6vdoLuSdzkZ2SjaxjWVDlqcRyxXeKkXUsC1nHssTjHNwc4NTGCY5tHOHo6Yhmbs0gCALnvdIT9aqJWbZsGT799FPk5eXBz88PS5YsQVBQUK3lY2NjMXv2bGRmZsLb2xsLFizAkCFDxNcFQcDcuXOxatUq3Lp1C7169cLXX38Nb2/vOsVjyjUxpaWlyMvLw6VLl5CRkSE+Lly4gPT0dFy7du2R52jatCn69OmDfv36ITQ0FN26dat3lSprYojIkNzKuYXs5GxcOX0FeWfycF/16KUM7Ozs0KFDB3To0AFt27aFh4cHPD094eHhATc3t0fWWNMDj/v3W+skZuPGjRg3bhyWL1+O4OBgfPHFF4iNjcW5c+fQsmXLauUTExPx5JNPIiYmBsOGDcP69euxYMECHD9+HL6+vgCABQsWICYmBmvXroWXlxdmz56NkydP4syZM7CysnpkTIaYxNT0x14QBJQVl6GkqATFRcUouVPxb7GqGPdU99C3RV9cvXoVBQUFyM3NRW5uLgoKCrSbclsGOLR2QIt2LeDU1gnKjko4tnGEXFE9aalPlSmTGCIyVIIg4NblW8g7k4f89Hxcu3gNN7NvQiiv+2esTCaDk5MTXFxcoFQq4eLigpYtW8LJyQlOTk5wdHSEo6MjHBwcYG9vD3t7ezRp0uShXxzr87lqKE1ejZ7EBAcHIzAwEEuXLgVQsdifm5sbpk2bhpkzZ1YrHxkZiaKiImzfvl3c16NHD/j7+2P58uUQBAGurq54++238c477wAACgsL4ezsjDVr1mDMmDGPjKmhkpgrV67gzJkzKC8vFx9lZWXiv2VlZSgtLRX/LS0tRUlJifhvcXEx7t+/L/57//593Lt3D3fv3sUf2X+gvKQcpfdLUXqvFCX3SlB2vwyCWnddlFxdXdGxY0fkWeehWetmaObeDI5tHGFhY1Gn45nEEJGpKyspw82sm7h+8TpuZN1A4eVCmN00Q2Zmps7WbJLJZGjatCmaNGkCW1tb8V8bGxtYW1vj1I1TUFgoYGZhBrm5HApzRcXDTAG5uRxyhRxyM3nFtkIOmUKGyUGTYWZmBoVCUeNDLpeLj8ptmUwm7pPJZOJ25XOZTAY3Nzc0bdpUJ9cNNHKfmJKSEqSkpCA6OlrcJ5fLERYWhqSkpBqPSUpKQlRUlMa+8PBwbNmyBQCQkZGBvLw8jdld7e3tERwcjKSkpBqTmOLiYhQXP+iYVbnQoEqlqlb2cWzevBlTpkzR6Tl1RS6Xi1m+UqlE69atNao0PTw8xDfa9J3TNY4tuVtS0ymrqc/9rOu5iYgMhb2rPexd7dEGbQAAXw7+Evfu3UNGRgaysrJw6dIlZGVlITs7G5cvX0Z+fj7y8/Mf2vewKkEQoFKpdPo3bC8aZi2pH374AcOHD9fZ+Sqvub4JoVZJzLVr11BeXg5nZ2eN/c7Ozjh79myNx+Tl5dVYPi8vT3y9cl9tZf4uJiYG8+fPr7a/coVTU6BWq8UmpYayBmsa7NxERIbKlD8bX3zxxQY57+3bt2Fvb6/1cQY5Oik6OlqjdketVuPGjRtwdHRs8B7jKpUKbm5uyM7ONpj+N4aO97zx8Z43Pt5zafC+N76q97xp06a4ffs2XF1d63UurZIYJycnKBSKanOK5OfnQ6msedVQpVL50PKV/+bn58PFxUWjjL+/f43ntLS0rLY+j4ODgzaX8tjs7Oz4hm9kvOeNj/e88fGeS4P3vfFV3vP61MBU0mocrYWFBQICApCQkCDuU6vVSEhIQEhISI3HhISEaJQHgPj4eLG8l5cXlEqlRhmVSoUjR47Uek4iIiIirZuToqKiMH78eHTv3h1BQUH44osvUFRUhIkTJwIAxo0bh1atWiEmJgYAMH36dPTt2xcLFy7E0KFDsWHDBiQnJ2PlypUAKnplv/XWW/jwww/h7e0tDrF2dXVFRESE7q6UiIiIjIrWSUxkZCSuXr2KOXPmIC8vD/7+/oiLixM75mZlZWmMd+/ZsyfWr1+P9957D7NmzYK3tze2bNkizhEDAP/6179QVFSEV199Fbdu3ULv3r0RFxdXpzliGpulpSXmzp1brTmLGg7veePjPW98vOfS4H1vfLq850axdhIRERGZHi7XSURERAaJSQwREREZJCYxREREZJCYxBAREZFBYhJDREREBolJTB1lZmZi0qRJ8PLygrW1Ndq2bYu5c+eipERzwcMTJ06gT58+sLKygpubGz755BOJIjYOH330EXr27AkbG5taZ2XOysrC0KFDYWNjg5YtW2LGjBkoKytr3ECNzLJly+Dp6QkrKysEBwfj6NGjUodkNA4cOIDhw4fD1dUVMplMXAy3kiAImDNnDlxcXGBtbY2wsDD89ddf0gRrJGJiYhAYGIimTZuiZcuWiIiIwLlz5zTK3L9/H1OmTIGjoyOaNGmCUaNGVZttnuru66+/RteuXcVZeUNCQrBz507xdV3dbyYxdXT27Fmo1WqsWLECp0+fxueff47ly5dj1qxZYhmVSoWBAwfCw8MDKSkp+PTTTzFv3jxxYj/SXklJCUaPHo3XX3+9xtfLy8sxdOhQlJSUIDExEWvXrsWaNWswZ86cRo7UeGzcuBFRUVGYO3cujh8/Dj8/P4SHh6OgoEDq0IxCUVER/Pz8sGzZshpf/+STT7B48WIsX74cR44cga2tLcLDw3H//v1GjtR47N+/H1OmTMHhw4cRHx+P0tJSDBw4EEVFRWKZf/7zn9i2bRtiY2Oxf/9+5Obm4plnnpEwasPWunVrfPzxx0hJSUFycjL69++PESNG4PTp0wB0eL8FqrdPPvlE8PLyEre/+uoroVmzZkJxcbG479133xU6dOggRXhGZfXq1YK9vX21/Tt27BDkcrmQl5cn7vv6668FOzs7jd8D1V1QUJAwZcoUcbu8vFxwdXUVYmJiJIzKOAEQNm/eLG6r1WpBqVQKn376qbjv1q1bgqWlpfDjjz9KEKFxKigoEAAI+/fvFwSh4h6bm5sLsbGxYpn09HQBgJCUlCRVmEanWbNmwjfffKPT+82amMdQWFiI5s2bi9tJSUl48sknYWFhIe4LDw/HuXPncPPmTSlCNHpJSUno0qWLOGM0UHHPVSqVmPFT3ZWUlCAlJQVhYWHiPrlcjrCwMCQlJUkYmWnIyMhAXl6exv23t7dHcHAw778OFRYWAoD4+Z2SkoLS0lKN++7j4wN3d3fedx0oLy/Hhg0bUFRUhJCQEJ3ebyYx9XT+/HksWbIEkydPFvfl5eVp/DEFIG7n5eU1anymgvdct65du4by8vIa7ynvZ8OrvMe8/w1HrVbjrbfeQq9evcTlb/Ly8mBhYVGt3x3v++M5efIkmjRpAktLS7z22mvYvHkzOnXqpNP7bfJJzMyZMyGTyR76OHv2rMYxOTk5GDRoEEaPHo1XXnlFosgNV33uORGRLkyZMgWnTp3Chg0bpA7F6HXo0AFpaWk4cuQIXn/9dYwfPx5nzpzR6c/QegFIY/P2229jwoQJDy3Tpk0b8Xlubi5CQ0PRs2fPah12lUpltd7VldtKpVI3ARsBbe/5wyiVymojZ3jP68/JyQkKhaLG9zHvZ8OrvMf5+flwcXER9+fn58Pf31+iqIzH1KlTsX37dhw4cACtW7cW9yuVSpSUlODWrVsatQN83z8eCwsLtGvXDgAQEBCAY8eO4csvv0RkZKTO7rfJJzEtWrRAixYt6lQ2JycHoaGhCAgIwOrVqzVW6waAkJAQ/Pvf/0ZpaSnMzc0BAPHx8ejQoQOaNWum89gNlTb3/FFCQkLw0UcfoaCgAC1btgRQcc/t7OzQqVMnnfwMU2JhYYGAgAAkJCQgIiICQEX1e0JCAqZOnSptcCbAy8sLSqUSCQkJYtKiUqnEb7JUP4IgYNq0adi8eTP27dsHLy8vjdcDAgJgbm6OhIQEjBo1CgBw7tw5ZGVlISQkRIqQjZJarUZxcbFu77eOOx8brcuXLwvt2rUTBgwYIFy+fFm4cuWK+Kh069YtwdnZWfjHP/4hnDp1StiwYYNgY2MjrFixQsLIDdulS5eE1NRUYf78+UKTJk2E1NRUITU1Vbh9+7YgCIJQVlYm+Pr6CgMHDhTS0tKEuLg4oUWLFkJ0dLTEkRuuDRs2CJaWlsKaNWuEM2fOCK+++qrg4OCgMQKM6u/27dvi+xiAsGjRIiE1NVW4dOmSIAiC8PHHHwsODg7CL7/8Ipw4cUIYMWKE4OXlJdy7d0/iyA3X66+/Ltjb2wv79u3T+Oy+e/euWOa1114T3N3dhT179gjJyclCSEiIEBISImHUhm3mzJnC/v37hYyMDOHEiRPCzJkzBZlMJvz222+CIOjufjOJqaPVq1cLAGp8VPXHH38IvXv3FiwtLYVWrVoJH3/8sUQRG4fx48fXeM/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", 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" ] @@ -92,21 +108,79 @@ }, { "cell_type": "markdown", - "id": "f3c0c504-e041-4d85-8da0-3ef766f8e87a", + "id": "967b597a-6602-49dc-882f-8a6ae69ccba8", "metadata": {}, "source": [ - "Generate for the distribution of mu_sample" + "Generate the distribution for mu_sample" + ] + }, + { + "cell_type": "markdown", + "id": "5533817e-90ec-4671-b1ec-196916c079e2", + "metadata": {}, + "source": [ + "Now we don't are interested in the height of the person, now we are looking the average. So we multiple generate samples of people and then we are calculating the average. Also teh average should be normal distrubited. Re run the code at above." ] }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 9, + "id": "43be8991-a5b0-4f0f-be9c-0f86b77d96a7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Show the approximation with the normal distribution\n", + "mu, sigma = 180, 0.5 # mean and standard deviation\n", + "data = np.random.normal(mu, sigma, 1000)\n", + "plt.hist(data, bins=30, density=True, alpha=0.6, color='g')\n", + "xmin, xmax = plt.xlim()\n", + "x = np.linspace(xmin, xmax, 100)\n", + "p = stats.norm.pdf(x, mu, sigma)\n", + "plt.plot(x, p, 'k', linewidth=2)\n", + "title = \"Fit results: mu = %.2f, std = %.2f\" % (mu, sigma)\n", + "plt.title(title)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f3c0c504-e041-4d85-8da0-3ef766f8e87a", + "metadata": {}, + "source": [ + "Generate the distribution of mu_sample and theoretical distribtion" + ] + }, + { + "cell_type": "markdown", + "id": "db5f4ad9-c37a-40b2-b815-6b1c34769f69", + "metadata": {}, + "source": [ + "

Now one-way t-test

\n", + "

We are assuming that the average height in the population is 178 cm, for example, in a sample from 1990. We want to prove that nowadays people are getting taller.

\n", + "

H0 = 178 cm and HA > 178 cm

\n", + "

So we have a one-sided test.

" + ] + }, + { + "cell_type": "code", + "execution_count": 17, "id": "f7118230-fc88-4a71-b813-2daa0c63c97c", "metadata": {}, "outputs": [ { "data": { - "image/png": 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ekmzfvp2kpCTefPNNvLy8LJePHj2aF198scTbpqenM3ToUHx9fYsc2VaQLT8XMzIy8sVrrSzvsytXrvD666/z2muvERYWVuJ5oHLvZzOHSlo6dOhQZLW6rdSpU6fQZUePHmXv3r3FPuBJSUkAPPXUU8ybN4877riDWrVq0bdvX4YNG2b3BKZOnTpMmDCBqVOn8uOPP9KtWzcGDRrE//3f/1m+zCrC+gsM8r4YC1Zjmi+/du1ahc9VUT4+PvTp08emxwwPD7c0iwwZMoR33nmH22+/naNHjxIREVHs7Xx9fcnKyip0eWZmpuV6679l2besKvMauHTpEhkZGTRo0KDQdY0aNbJ50tKlSxebHKe0x7G8jyGoVdHjx4/niSeeYMeOHXTt2tUuz5e18rzPTCYTycnJ1KhRo8Lnu3DhAgMGDCA4OJhffvkFg8FQ6m0iIyOJjIys8DltyVbvs4o8Z8OHD+ebb77h0Ucf5eWXX6Z3797ce++9DBkypNQE5tSpUwCF3meenp4lJuhGo5H777+fgwcP8scffxAVFVVqnLb8XPT19SU7O7vI68ryOL766qtUr16dp59+utTzgG2eL4dKWuytqAfGZDJx++2389JLLxV5G3PNT82aNdm9ezfLli3jjz/+4I8//mDmzJmMHDmS2bNnAxQ7UVdZ2vhL8tFHHzF69Gh+++03li9fzjPPPMOUKVPYvHkztWvXrtAxi/swK+5yxaoNv6T7WZYPybIyGo1lntukevXqxf5iKMmQIUP417/+xW+//cbYsWOL3S8yMpLVq1ejKEq++5+YmAhg+bAxf/ibL7eWmJhI9erVy1XLYmaP14A9XLp0qUyv94CAAAICAoq9vrTHsSwf7kUxJwvmPgHm56O48wAVPhdU/H1Wkc+S5ORk7rjjDq5fv8769evLHHdGRgbJycll2rekxN4WIiMjy/RcWL8+CiaAiYmJlr5m5eHr68u6detYvXo1S5Ys4c8//2Tu3Ln06tWL5cuX2/Szzeyxxx5j8eLF/Pjjj/Tq1atMt7Hl52JkZCRGo5GkpCRq1qxpuTw7O5srV66U+Bo6evQoX331FdOmTeP8+fOWyzMzM8nJySEhIYGgoCCqV69u0/ezQ0wuVxG2msmzXr16pKam0qdPnyI3619KXl5eDBw4kM8//5zjx48zduxYvvvuO44dOwZAtWrVAHVyJGvmLLwy96dFixa8+uqrrFu3jvXr13Pu3DlmzJhRzntrG9WqVSt0H6Fs97M8zpw5Y/kVWNq2cePGCp3DXC1Z2od269atSU9PJz4+Pt/lW7ZssVwPUKtWLcLCwti+fXuhY2zdutWyX0WU9hoo6jUUFhaGr68vR48eLXTd4cOHKxxLcdq3b1+m5+vDDz8s8TjNmzfHw8Oj0OOYnZ3N7t27K/w4mieMM9es6vV6WrRoUeTztWXLFurWrZuvubSqlPezJDMzk4EDB3LkyBEWL15M06ZNy3yuuXPnlvl9Zm+tW7dm586dmEymfJdv2bIFPz8/y49I8/Nf8Hk7f/48Z8+erfDrQ6/X07t3b6ZOncrBgwd5++23+euvv1i9ejVQ/Od0bGwsQKH3WU5ODidPnizyNi+++CIzZ87k448/ZsSIEWWO0Zafi8U9jtu3b8dkMpX4OJ47dw6TycQzzzxDnTp1LNuWLVs4cuQIderU4c033wRs+3522poWf39/QH1Tm9siK2LYsGFMnjyZZcuWFervcv36dQICAvDw8ODKlSv5qm31ej0tW7YE8qq8zKM11q1bx6BBgwBIS0uz1MSU9f5Yu3HjBn5+fvnauVu0aIFer89X1Xb58mUuX75MTExMufo8VES9evVYv3492dnZlix+8eLFnDlzptS+CuVhy7bby5cvU6NGjUIfOt988w2Qv/d8cnIyiYmJREZGWqrz7777bv7xj3/w+eef89lnnwHqr+IZM2ZQq1YtywgCUPsFzZ49mzNnzlh+Ba5atYojR47wj3/8o0z3x1pZXwP+/v6FXj8Gg4F+/fqxcOFCTp8+bUnC4+PjWbZsWbljKY2t+rQEBwfTp08ffvjhB1577TVL4vD999+TmprK0KFDLfump6dz+vRpQkNDLaNbLl26VKjJNyUlhWnTphEaGkrbtm0tlw8ZMoSXX36Z7du3W14Hhw8f5q+//uKFF14o2x23saCgIEJDQ1m3bh3PPfec5fLPP/+80L5Go5Hhw4ezadMmfvvtNzp16lSuc2nVpyUxMZHk5GTq1atn6fczZMgQfvnlF3799VeGDBkCqO/d+fPnM3DgQEstZbNmzWjcuDFfffUVY8eOtdSCfPHFF+h0Ostty+Pq1atUr14932XmL1Pz+6y4z+l27doRFhbGjBkzGDNmjOVzcdasWUX+wPvggw/48MMPeeWVV8o9+tSWn4u9evWievXqfPHFF9x5552Wy7/44gv8/PwYMGCA5bKC3zHNmzdnwYIFhY756quvkpKSwn/+8x/Ld2J53s+lcdqkxfyh88wzz9CvXz8MBgP3339/uY/z4osvsmjRIu666y5Gjx5N27ZtSUtLY9++ffzyyy8kJCQQGhrKo48+ytWrV+nVqxe1a9fm1KlTfPrpp7Ru3doyDLZv377ExMTwyCOP8OKLL2IwGPj2228JCwvj9OnTJcZRr149QkJCmDFjBoGBgfj7+9OxY0f27NnD+PHjGTp0KA0bNiQ3N5fvv/8eg8HAfffdZ7l9eYc8V8ajjz7KL7/8Qv/+/Rk2bBjHjx/nhx9+sLxArf3+++/s2bMHUH917N27l3//+98ADBo0yJL4FcWWbbc//PADM2bMYPDgwdStW5eUlBSWLVvGihUrGDhwYL6q2QULFjBmzBhmzpxpWXagdu3aPPfcc3zwwQfk5OTQvn17Fi5cyPr16/nxxx/zVR2/8sorzJ8/n549e/Lss8+SmprKBx98QIsWLRgzZky+uMydmxMSEoqN/a+//irTa6Bt27asXLmSqVOnEhUVRZ06dejYsSNvvPEGf/75J926deOpp54iNzeXTz/9lGbNmrF3795859q7dy+LFi0C4NixYyQnJ1uer1atWjFw4MASH2db9WkBdUrwzp070717dx5//HHOnj3LRx99RN++ffP1Jdu6dSs9e/Zk0qRJls7o06dPZ+HChQwcOJCYmBgSExP59ttvOX36NN9//32+KvOnnnqKr7/+mgEDBvDCCy/g6enJ1KlTCQ8P5/nnn88XU48ePco15LkyHn30Ud59910effRR2rVrx7p164qcmv/5559n0aJFDBw4kKtXr/LDDz/ku760Iau2rkX57LPPuH79uqXJ4Pfff+fs2bMAPP3005YfAhMnTmT27NmcPHnS8j4YMmQIt956K2PGjOHgwYOEhoby+eefYzQaeeONN/Kd54MPPmDQoEH07duX+++/n/379/PZZ5/x6KOP5puaICEhgTp16jBq1KgSlxR48803WbduHQMGDCA2NpakpCQ+//xzateuTdeuXYHiP6fr1KnDv//9b8aOHUuvXr0YPnw4J0+eZObMmYUS9AULFvDSSy/RoEEDmjRpUuj5uv3220ucjsDWfVreeustxo0bx9ChQ+nXrx/r16/nhx9+4O23386XxBX8jgkNDWXw4MGFjmmeJqTgdWV9P5eqzOOM7Ki8k8spiqLk5uYqTz/9tBIWFqbodLpSh+OZJ5crSkpKijJx4kSlfv36ipeXlxIaGqp07txZ+fDDDy3DFX/55Relb9++Ss2aNRUvLy8lJiZGGTt2bKGZVHfs2KF07NjRss/UqVPLNORZURTlt99+U5o2bap4eHhY7u+JEyeUhx9+WKlXr57i4+OjVK9eXenZs6eycuXKfLct75DngjOFmh/jDz74IN/l5qGbBYfbfvTRR0qtWrUUb29vpUuXLsr27duLvE/FTQRY8Pm0t23btilDhw5VYmJiFG9vb8Xf319p06aNMnXq1HwzaipK3uuxYHxGo1F55513lNjYWMXLy0tp1qyZ8sMPPxR5vv379yt9+/ZV/Pz8lJCQEOXBBx9ULly4UGi/0NDQUodnlvU1cOjQIeW2225TfH19FQpMLrd27Vqlbdu2ipeXV4mTy5U0/FWLiQHXr1+vdO7cWfHx8VHCwsKUcePGFZp8y/watR4GvHz5cuX2229XIiIiFE9PTyUkJETp27evsmrVqiLPc+bMGWXIkCFKUFCQEhAQoNx1113K0aNHC+3Xtm3bMg3PLO59U9xnnfm5sB5um56erjzyyCNKcHCwEhgYqAwbNkxJSkoqdF/Nw7CL26paScPerT8DzZ8NBSevvHr1qvLII48oNWrUUPz8/JTu3bsX+92wYMECpXXr1oq3t7dSu3Zt5dVXX803xFxRFGXfvn35piUozqpVq5S7775biYqKUry8vJSoqChlxIgRhabDKOpz2uzzzz9X6tSpo3h7eyvt2rUrcnI583Nd3FbW6Rts6auvvlIaNWpkmVz1448/tsxkXjDu0uIrbkZcRSnb+7k0OkWpgp8MQohCDh48SLNmzVi8eHG+aljhmFJSUqhevTrTpk2zTMooHN/nn3/OSy+9xPHjx+0yoaKoWk7bEVcIZ7d69Wo6deokCYuTWLduHbVq1eKxxx7TOhRRDqtXr+aZZ56RhMVFSE2LEEIIIZyC1LQIIYQQwilI0iKEEEIIpyBJixBCCCGcgiQtQgghhHAKTjG5nMlk4vz58wQGBtps+n4hhBBC2JeiKKSkpBAVFVWulbOL4xRJy/nz5wstiiWEEEII53DmzBmbLO7qFEmLeZ2CM2fOEBQUpHE0wt2lpYF5UdLz5+HmciRCaMaYZmRjlLo4XufznTH4235FYiEq4saNG0RHR9ts4VGnSFrMTUJBQUGStAjNWa9QHxQkSYvQntFgxB/1hRgUFCRJi3A4turaIR1xhRBCCOEUnKKmRQhH4uEBo0bllYXQms5DR/iocEtZCFflFNP437hxg+DgYJKTk6V5SAghhHAStv7+lt+JQgiHpigKubm5GI1GrUMRQhRgMBjw8PCosulIJGkRopwUBdLT1bKfH8jUQfaTnZ1NYmIi6eYHXBRLMamV5jq9vCBF1fLz8yMyMhIvLy+7n0uSFiHKKT0dAgLUcmqqjB6yF5PJxMmTJzEYDERFReHl5SWTSxZDMSqkx6uJnV8TP3QGeZyE/SmKQnZ2NpcuXeLkyZM0aNDAJhPIlUSSFiGEQ8rOzsZkMhEdHY2fn5/W4Tg0xaiQSy4APj4+krSIKuPr64unpyenTp0iOzsbHx8fu55PhjwLIRyavX+5CSEqpyrfo/JpIIQQQginIEmLEEIIIZxCuZOWdevWMXDgQKKiotDpdCxcuLDU26xZs4Y2bdrg7e1N/fr1mTVrVgVCFUIIUZoxD49h8ODBWodRLrNmzSIkJMRmx1uzZg06nY7r16+X63bW32kJCQnodDp2795ts7jM4uLimDZtWpHntfe5nF25k5a0tDRatWrF9OnTy7T/yZMnGTBgAD179mT37t0899xzPProoyxbtqzcwQohhFDZ80vVnor6Eh0+fDhHjhzRJqBiREdHk5iYSPPmzUvdt7zPxbZt23j88ccrGWF+xSV+9jiXlso9euiOO+7gjjvuKPP+M2bMoE6dOnz00UcANGnShA0bNvDxxx/Tr1+/Im+TlZVFVlaW5f8bN26UN0wh7MZggCH3mUABg0FaWIUD0IFHNW0Hg2ZnZ1d4ng5fX198fX1tHFHlGAwGIiIibHpM82MUFhZm0+OWpCrPVRXs/om7adMm+vTpk++yfv36sWnTpmJvM2XKFIKDgy1bdHS0vcMUosx81q9g/sbazF8dis+Cn7UOx+2kpRW/ZWaWfd+MjLLtW149evTg6aef5rnnnqNatWqEh4fz9ddfk5aWxpgxYwgMDKR+/fr88ccfltsU9St54cKFJc5LU6dOHQBuueUW9AY9dzxyB771fOHmTT788EMiIyOpUaMG48aNIycnx3LbrKwsXnjhBWrVqoW/vz8dO3ZkzZo1+Y7/v//9j2bNmuHt7U1cXJzlh6dZXFwcb731FiNHjiQoKMjya37Dhg1069YNX19foqOjeeaZZ0i7+UD26NGDU6dO8Y9//AOdTme5f0Xd/99//5327dvj4+NDaGgo99xzj+W677//nnbt2hEYGEhERAQPPPAASUlJxT5WRTl69Ci33XYbPj4+NG3alBUrVuS7vmDtybVr13jwwQcJCwvD19eXBg0aMHPmzELPhU6no0ePHgCMHj2awYMH8/bbbxMVFUWjRo0sj13B2qbExETuuOMOfH19qVu3Lr/88ovluqKau3bv3o1OpyMhIYE1a9YwZswYkpOTLY/r5MmTizzX6dOnufvuuwkICCAoKIhhw4Zx8eJFy/WTJ0+mdevWfP/998TFxREcHMz9999PSkpKuR5fe7F70nLhwgXCw8PzXRYeHs6NGzfIKPipcdPEiRNJTk62bGfOnLF3mEKUTlHggw+gf39ITIRr1+CBB+DFFyE3V+vo3EZAQPHbfffl37dmzeL3LVhhHBdX9H4VMXv2bEJDQ9m6dStPP/00Tz75JEOHDqVz587s3LmTvn378tBDD1Vqpt+tW7cCsHLlShITE/n1118t161evZrjx4+zevVqZs+ezaxZs/L1JRw/fjybNm1izpw57N27l6FDh9K/f3+OHj0KwI4dOxg2bBj3338/+/btY/Lkybz22muF+iN++OGHtGrVil27dvHaa69x/Phx+vfvz3333cfevXuZO3cuGzZsYPz48QD8+uuv1K5dmzfffJPExEQSExOLvG9Llizhnnvu4c4772TXrl2sWrWKDh06WK7PycnhrbfeYs+ePSxcuJCEhARGjx5d5sfOZDJx77334uXlxZYtW5gxYwb//Oc/S7zNa6+9xsGDB/njjz+Ij4/niy++IDQ0FCj5uVi1ahWHDx9mxYoVLF68uMTj33fffezZs4cHH3yQ+++/n/j4+DLdn86dOzNt2jSCgoIsj+sLL7xQ5P2+++67uXr1KmvXrmXFihWcOHGC4cOH59vv+PHjLFy4kMWLF7N48WLWrl3Lu+++W6ZY7E6pBEBZsGBBifs0aNBAeeedd/JdtmTJEgVQ0tPTy3Se5ORkBVCSk5MrGqoQlZOaqij3368oaupSeOvTR1EuX9Y6SpeSkZGhHDx4UMnIyMh3eXFPASjKnXfmP4afX/H7du+ef9/Q0KL3K6/u3bsrXbt2tfyfm5ur+Pv7Kw899JDlssTERAVQNm3apCiKosycOVMJDg7Od5wFCxYoJX1Enzx5UgGUXbt25bt81KhRSmxsrJKbm2u5bOjQocrw4cMVRVGUU6dOKQaDQTl37ly+2/Xu3VuZOHGioiiK8sADDyi33357vutffPFFpWnTppb/Y2NjlcGDB+fb55FHHlEef/zxfJetX79e0ev1lucxNjZW+fjjj/PtU/D+d+rUSXnwwQeLve8Fbdu2TQGUlJQURVEUZfXq1QqgXLt2rcj9ly1bpnh4eOR7DP74449832kFH9+BAwcqY8aMKfJ4JT0X4eHhSlZWVr7LCz4GgPLEE0/k26djx47Kk08+Wez92bVrlwIoJ0+eVBSl6NdQwXMtX75cMRgMyunTpy3XHzhwQAGUrVu3KoqiKJMmTVL8/PyUGzduWPZ58cUXlY4dOxZ53xWl+Peqotj++9vujaARERH5qp4ALl68SFBQkMO1YQpRpJMnYfBg2LsXgDT8CECt7k41BONvvAErV0L79rBgAbRqpWGwri81tfjrDIb8/5fUYlBwPqyEhAqHVEjLli2tYjJQo0YNWrRoYbnMXPtc3iaN4ihGhdRdNx8YBZo1a4bB6sGIjIxk3759AOzbtw+j0UjDhg3zHSMrK4saNWoAEB8fz913353v+i5dujBt2jSMRqPl2O3atcu3z549e9i7dy8//vhjXmyKYlmSoUmTJmW6P7t37+axxx4r9vodO3YwefJk9uzZw7Vr1zCZTIDa9NG0adNSjx8fH090dDRRUVGWyzp16lTibZ588knuu+8+S03Z4MGD6dy5c6nnatGiRZn6+hQ8f6dOnWzeydp8v627XDRt2pSQkBDi4+Np3749oDYpBQYGWvaJjIy02Wu1suyetHTq1ImlS5fmu2zFihWlvkCEcAhnz0KHDnD5svp/QAB8/ROMuHn9kiUw8j712/HkSejcGTZtAqsvLWFb5VnryV77lsbT0zPf/zqdLt9l5r4c5i9bvV6Poij5bmPdB8UW5zefKzU1FYPBwI4dO/IlNgAB5WwP8y/woKWmpjJ27FieeeaZQvvGxMSU+bgl/aBNS0ujX79+9OvXjx9//JGwsDBOnz5Nv379yM7OLnvw5XTHHXdw6tQpli5dyooVK+jduzfjxo3jww8/LPF2BR+jijDPOGv9GqnM66M0Jb1+tFbuPi2pqans3r3bkgGePHmS3bt3c/r0aUDtjzJy5EjL/k888QQnTpzgpZde4tChQ3z++efMmzePf/zjH7a5B0LY00cf5SUsDRrAli0wcGDe9V27wvbtYP7FmZ4O//531ccpnFpYWBgpKSmWDqtAqb+yzb/ejUZjuc51yy23YDQaSUpKon79+vk282iZJk2a8Pfff+e73d9//03Dhg0LJTrW2rRpw8GDBwsdt379+pZ4vby8So25ZcuWrFq1qsjrDh06xJUrV3j33Xfp1q0bjRs3LnctQJMmTThz5ky+PjWbN28u9XZhYWGMGjWKH374gWnTpvHVV18BFX8urBU8/+bNmy01U+YRQNbxFnx9lOVxNd9v636iBw8e5Pr162WqoXIE5U5atm/fzi233MItt9wCwIQJE7jlllt4/fXXAfVBNScwoPaqXrJkCStWrKBVq1Z89NFHfPPNN8UOdxbCYaSmws3RAXh7w/r1UNQbOzoa1q0Dc4fzX39Va2iEKKOOHTvi5+fHK6+8wvHjx/npp59KnYSzZs2a+Pr68ueff3Lx4kWSU5PLdK6GDRvy4IMPMnLkSH799VdOnjzJ1q1bmTJlCkuWLAHg+eefZ9WqVbz11lscOXKE2bNn89lnnxXZudPaP//5TzZu3Mj48ePZvXs3R48e5bfffrN0xAW16WHdunWcO3eOy+YfBAVMmjSJn3/+mUmTJhEfH8++fft47733ALXGxsvLi08//ZQTJ06waNEi3nrrrTLdd7M+ffrQsGFDRo0axZ49e1i/fj3/+te/SrzN66+/zm+//caxY8c4cOAAixcvtiQVhZ6L5LI9F9bmz5/Pt99+y5EjR5g0aRJbt261PG7169cnOjqayZMnc/ToUZYsWVLkaK7U1FRWrVrF5cuXi+zk3adPH1q0aMGDDz7Izp072bp1KyNHjqR79+6FmvocVbmTlh49eqAoSqHN/AabNWtWoaFzPXr0YNeuXWRlZXH8+PFy9fIWQjM//ADmD58HHshLSori6wvmCZyMRvjyS/vHJ1xG9erV+eGHH1i6dCktWrTg559/tgxZLY6HhweffPIJX375JbWiazHi+REl7m9t5syZjBw5kueff55GjRoxePBgtm3bZmnCadOmDfPmzWPOnDk0b96c119/nTfffLPUz+6WLVuydu1ajhw5Qrdu3Sw/aK37jrz55pskJCRQr169YucQ6dGjB/Pnz2fRokW0bt2aXr16WUbohIWFMWvWLObPn0/Tpk159913S22iKUiv17NgwQIyMjLo0KEDjz76KG+//XaJt/Hy8mLixIm0bNmS2267DYPBwJw5c4D8z0VUVFSh/kBl8cYbbzBnzhxatmzJd999x88//2yp/fD09OTnn3/m0KFDtGzZkvfee49/F6jR7dy5M0888QTDhw8nLCyM999/v9A5dDodv/32G9WqVeO2226jT58+1K1bl7lz55Y7Xq3olIINqQ7oxo0bBAcHk5ycTFBQkNbhCHegKNCiBRw4oP6/cyfcrF1MS8sbCpuaatUX4vx5iI1Vhz/XrAmnT6s1NKJCMjMzOXnyJHXq1LH7cvfOzrojbsAtAegMxc/vIoStlfRetfX3t0znKURRVq/OS1i6dLEkLCWKisqbKCQpCebNs198QgjhhiRpEaIon36aV3766XxXGQxw553qVqhPolXbfb5jCGFPOjAEGzAEGywz4grhirRdrEIIR3TqFCxapJajouDee/Nd7eOjjnQuUpcu0Lo17N4N27apo406drRntEKg0+vwa+CndRhC2J3UtAhR0BdfgHlOgieegAJzFpRIp8tfMyO1LUIIYTOStAhhLSMDvv5aLXt6QgmzchZrxAi4ObMo8+bBhQu2i08IIdyYJC1CWPv5Z7h6VS0PGwZFLE2flqaOGPL3L2YVYF9fePRRtZyTAzcnoBLCXhSjQsrOFFJ2pqAYHX5AqBAVJkmLEGaKUmIHXGvp6epWrCefzFvcZsYMsOP04kIAYLq5CeHCJGkRwmzLFrUDLaiLH1amA21sLAwapJYTE+G33yodnhBCuDtJWoQwW7w4r/zEE5U/3pNP5pWLHW4khBCirCRpEcJsxYq88p13Vv543bur/VvMx3b8yaeFE0lISECn05W6sKKz0ul0LFy4UOswhIORpEUIgGvX1NWaAZo3L7IDbrl5e8Ntt6nl8+fh0KHKH1OIm6Kjo0lMTKR58+ZahyJElZGkRQhQp+03z81y++22O671saxrcoSoJIPBQEREBB4eMkeocB+StAgBsHJlXrlPnxJ31evVlp/u3fMGCBXL+ljW5xAVZkwzFr9lGsu+b0bZ9i2vHj168PTTT/Pcc89RrVo1wsPD+frrr0lLS2PMmDEEBgZSv359/vjjD8ttZs2aRUhISL7jLFy4EJ2u+Dn58zUP6eDvg38T1D6IVX+tol27dvj5+dG5c2cOHz5c7DGys7MZP348kZGR+Pj4EBsby5QpUyzXT506lRYtWuDv7090dDRPPfUUqampheJevHgxjRo1ws/PjyFDhpCens7s2bOJi4ujWrVqPPPMMxiNeY9lXFwcb731FiNGjMDf359atWoxffr0Eh/XM2fOMGzYMEJCQqhevTp33303CQkJJd5GuB5J0YWAvFoQT8+8Jp1i+PrCmjVlPG6LFuqKz0lJ6o1ycso3w64oZH3A+mKvq35ndVouaWn5/++af2NKL3occHD3YG5Zk7cQ5ua4zeRczim0Xw+lR7ljnD17Ni+99BJbt25l7ty5PPnkkyxYsIB77rmHV155hY8//piHHnqI06dP4+dX+en3dXodPjHq6rqvvvYqH330EWFhYTzxxBM8/PDD/P3330Xe7pNPPmHRokXMmzePmJgYzpw5w5kzZyzX6/V6PvnkE+rUqcOJEyd46qmneOmll/j8888t+6Snp/PJJ58wZ84cUlJSuPfee7nnnnsICQlh6dKlnDhxgvvuu48uXbowfPhwy+0++OADXnnlFd544w2WLVvGs88+S8OGDbm9iJrOnJwc+vXrR6dOnVi/fj0eHh78+9//pn///uzduxcvL69KP4bCOUjSIkRCAhw7ppY7dYKAANsdW6+H3r3VSetSUmDrVnV9IuHSWrVqxauvvgrAxIkTeffddwkNDeWxmzMsv/7663zxxRfs3buXW2+91abnfvvtt+nevTsAL7/8MgMGDCAzMxMfH59C+54+fZoGDRrQtWtXdDodsbGx+a5/7rnnLOW4uDj+/e9/88QTT+RLWnJycvjiiy+oV68eAEOGDOH777/n4sWLBAQE0LRpU3r27Mnq1avzJS1dunTh5ZdfBqBhw4b8/ffffPzxx0UmLXPnzsVkMvHNN99Yap9mzpxJSEgIa9asoW/fvhV8tISzkaRFiFWr8sqlNA1VSJ8+atICahORJC2V0i21W/FXFlh1u0tSCY91gaa9WxNslzy0bJlX22MwGKhRowYtWrSwXBYeHg5AUlKSzc5Z1LkjIyMt54mJiSm07+jRo7n99ttp1KgR/fv356677sqXAKxcuZIpU6Zw6NAhbty4QW5uLpmZmaSnp1tqiPz8/CwJi/m+xcXFEWCV/IeHhxe6r506dSr0/7Rp04q8T3v27OHYsWMEBgbmuzwzM5Pjx4+X9HAIFyNJixDWHWTLkLSkpUFcnFpOSFCn8y9RwX4tkyaVN0JhxeBvKH0nO+9bGs8CTYA6nS7fZebaAtPNzt96vR6lwJD4nJzCTVXFUYwKGccyAPDQ532sFzxPQW3atOHkyZP88ccfrFy5kmHDhtGnTx9++eUXEhISuOuuu3jyySd5++23qV69Ohs2bOCRRx4hOzvbkrSUdl/NlxUXQ1mkpqbStm1bfvzxx0LXhYWFVfi4wvlI0iLcm8mUV9MSFKTOhFsGly+X4xwxMdCwIRw5Aps3q81EBX4xCvcWFhZGSkoKaWlp+N/Mgss7/0pF1xwKCgpi+PDhDB8+nCFDhtC/f3+uXr3Kjh07MJlMfPTRR+hv9jifN29ehc5RlM2bNxf6v0mTJkXu26ZNG+bOnUvNmjUJCgqyWQzC+cjoIeHe9uzJy0B69gR7DR81t9Pn5sLatfY5h3BaHTt2xM/Pj1deeYXjx4/z008/MWvWLLufd+rUqfz8888cOnSII0eOMH/+fCIiIggJCaF+/frk5OTw6aefcuLECb7//ntmzJhhs3P//fffvP/++xw5coTp06czf/58nn322SL3ffDBBwkNDeXuu+9m/fr1nDx5kjVr1vDMM89w9uxZm8UkHJ8kLcK9WQ9DtuX8LAVZNxHJfC2igOrVq/PDDz+wdOlSWrRowc8//8zkyZPtft7AwEDef/992rVrR/v27UlISGDp0qXo9XpatWrF1KlTee+992jevDk//vhjvuHQlfX888+zfft2brnlFv79738zdepU+vXrV+S+fn5+rFu3jpiYGO69916aNGnCI488QmZmptS8uBmdUrAh1QHduHGD4OBgkpOT5QUqbKtv37wk4tAhaNSo1JukpeUNMEpNLUOfFoDkZKheXW2OatoUDhyoeMxuIjMzk5MnT1KnTp0iR76IPIpRIXWXOn9KwC0B6AzFz+/iCOLi4njuuefyjU4Szquk96qtv7+lpkW4r8xMWH9zzo/atdV+J/YSHAwdOqjlgwfVaf2FEEKUiyQtwn1t3KgmLqA2DZUw+6hNyOy4QghRKTJ6SLivcg51NtProV27vHKZ3X47/PvfannlShg5shw3FqIEOtD76S1lRyfT74uKkqRFuC/r2o7evct8M19f2LatAue79Va1A0xamnpuRbF/7Y5wCzq9Dv+mZelcJYRzk+Yh4Z6uXIEdO9Ryy5Zwc4ZSu/LyUldZBEhMVPu2iFI5wVgBIdxaVb5HJWkR7mntWrWmA+wzdX9xrM9lvXyAKMQ8q2p6errGkQghSmJ+jxacCdkepHlIuKctW/LKpazqXFB6ujpqGdTKknIt0muuaQF18URRLIPBQEhIiGXNGj8/P8u09CI/xaiQfkz94vCr7+fwQ56Fa1AUhfT0dJKSkggJCcFgsN1SGMWRpEW4p+3b88plnLrfTFHg1Km8crk0b642E2Vn549BFCkiIgKwz8KCrkQxKWQlZgHg7eGNTi9Ji6g6ISEhlveqvUnSItyPyZTXnyUqSt2qipcXtG6t1rIcPgw3bqhrHoki6XQ6IiMjqVmzZrkWEHQ3xnQjOwaor+mGOxti8LP/L14hQG0SqooaFjNJWoT7OXZMnaEW8sYuV6V27fKahnbsUNc8EiUyGAxV+sHobIxGI6ZT6irKPt4+GHzksRKuSTriCvdj3SyjVdJSVCxCCCFKJEmLcD+V6M9iE9bnlKRFCCHKTJIW4X6sZ4Zr27bqz9+4cd6QowrNUieEEO5JkhbhXoxG2LlTLcfGQlhYuQ+h06lDnps2reCEth4ecMstavnkSXWiOyEqQwd+Tf3wa+rnFNP4C1FR0hFXuJdDh9SJVqDCTUN+fnDgQCXjaNcO/v5bLe/YAX37VvKAwp0Z/Ax0ONBB6zCEsDupaRHuxbo5RotOuGbWCZM0EQkhRJlI0iLci9Yjh4o6t3TGFUKIMpGkRbgX6wShgp1w09OhWTN1q/CyOA0a5E0qJ0mLqCRjupGtzbaytdlWjOlGrcMRwm4kaRHuIzsbdu9Wyw0aQEhIhQ6jKOqaQwcPVmAafzO9Pi9pOnsWLlyo4IGEABRIP5hO+sF0kEWxhQuTpEW4jwMHIEtdn0WT+VkKkiYiIYQoF0lahPtwlP4sRcUgSYsQQpRKkhbhPhxl5JCZjCASQohykaRFuA9zbYZenze5m5bi4qB6dbW8fXslOsgIIYR7kKRFuIfMTNi3Ty03aQIBAdrGA+p0uuYan6QktUOuEEKIYknSItzDnj2Qm6uWK9k0pNOpKwDExlZwGn9r0kQkbEEH3rHeeMd6yzT+wqXJNP7CPdhwZWc/P0hIqFw4FgU74957r40OLNyJwc9Ap4ROJe4z9vexJV7/5cAvbRmSEHYhNS3CPTjayCEzGUEkhBBlJkmLcA/mphcPD2jVSttYrNWqBRERalk64wohRIkkaRGuLzUV4uPVcosW4ONTqcNlZKgtTO3bq+VKse6Me+0anDhRyQMKd2TMMLKj/Q52tN+BMUOm8ReuS5IW4fp27waTSS3boGnIZFIrRbZvzztspUgTkagsE6RsTyFlewrY4jUphIOSpEW4vp0788oVXCTRrqyTFutYhRBC5COjh4Tr278/r+xI/VnMWrbMK1vHKpxeaSN2QEbtCFEeUtMiXJ95UjmAZs20i6M4tWtDcLBato5VCCFEPpK0CNemKHm1F3FxEBioaThF0umgeXO1fOYMJCdrG48QQjgoSVqEazt1Sh09BHmJgSOyjk2aiIQQokiStAjXZp0AtGhhs8OGhqqbzVjHJk1EogI8Qz3xDPXUOgwh7Eo64grXZp0A2Chp8feHS5dscqg81rFJTYsoJ4O/gS6XumgdhhB2V6GalunTpxMXF4ePjw8dO3Zk69atJe4/bdo0GjVqhK+vL9HR0fzjH/8gMzOzQgELUS7WSYuzNA9JTYsQQhSp3EnL3LlzmTBhApMmTWLnzp20atWKfv36kZSUVOT+P/30Ey+//DKTJk0iPj6e//73v8ydO5dXXnml0sELUSpzrYWHBzRqpG0sJaleHaKi1PK+fTKdvxBCFKHcScvUqVN57LHHGDNmDE2bNmXGjBn4+fnx7bffFrn/xo0b6dKlCw888ABxcXH07duXESNGlFo7I0Sl5eTAoUNquVEj8PKyyWEzMqBHD3Wr9DT+1sy1LdeuQWKiDQ8sXJ0xw8iuHrvY1WOXTOMvXFq5kpbs7Gx27NhBnz598g6g19OnTx82bdpU5G06d+7Mjh07LEnKiRMnWLp0KXfeeWex58nKyuLGjRv5NiHK7cgRNXEBm3bCNZlg7Vp1s8k0/mbSGVdU0OWLl0lem0zy2mR+/P5HMmyaTQvhOMqVtFy+fBmj0Uh4eHi+y8PDw7lw4UKRt3nggQd488036dq1K56entSrV48ePXqU2Dw0ZcoUgoODLVt0dHR5whRCZYdOuHYlnXFFOSiKwsaNG/m///s/GjRsYLl87Nix1K5dmxdeeIFjx45pGKEQtmf3Ic9r1qzhnXfe4fPPP2fnzp38+uuvLFmyhLfeeqvY20ycOJHk5GTLdubMGXuHKVyRs3TCNZPOuKKM/vjjD1q3bk2XLl348ccfyTHXKN509epVPvroIxo0aEC/fv2IN69yLoSTK9eQ59DQUAwGAxcvXsx3+cWLF4mIiCjyNq+99hoPPfQQjz76KAAtWrQgLS2Nxx9/nH/961/o9YXzJm9vb7y9vcsTmhCF2WmOFrtp2lSdHVdRJGkRxVqzZg2DBg0iNzfXclm1atXgmlq+//77+enXn8jOzgZg+fLl9O7dm17v9MK/hr8WIQthM+WqafHy8qJt27asWrXKcpnJZGLVqlV06tSpyNukp6cXSkwMBgOgVm8KYTfmL35/f4iN1TaWsvD1hfr11fLBg2CUDpUivxMnTjBkyBBLwtK+fXtmz57NkSNHLPt88803nD17lvfee4/Ym6/7xMRElr+9nNys3CKPK4SzKHfz0IQJE/j666+ZPXs28fHxPPnkk6SlpTFmzBgARo4cycSJEy37Dxw4kC+++II5c+Zw8uRJVqxYwWuvvcbAgQMtyYsQNpeaCidPquXmzaGIGj2HZK4RysyE48e1jUU4lJSUFO6++26uXLkCQP/+/dm0aRMjR47E19c3375hYWG89NJLbNu2zZK4XDp2iXWfrZMfi8KplXtG3OHDh3Pp0iVef/11Lly4QOvWrfnzzz8tnXNPnz6dr2bl1VdfRafT8eqrr3Lu3DnCwsIYOHAgb7/9tu3uhRAFHTiQV7ZD05Cfn80PqWrRAn79VS3v3w8NG9rpRMKZmEwmHnroIfbfbPJs2LAhP//8c74ffnq/wol5WFgYixYtonPnzqSlpXFs7TGqx1Wn9X2tqyp0IWyqQtP4jx8/nvHjxxd53Zo1a/KfwMODSZMmMWnSpIqcSoiKse7PYuNOuP7+kJZm00PmKdgZ99577XQi4Uxef/11fvvtNwCCg4NZtGgRISEhlusN/gZuS7utyNu2bNmS77//nntvvpa2freVatHViO3gBE2mQhQgaw8J1+Rsw53NZK4WtzP297ElXt8rvZelZlqv1zN37lwalXN253vuuYd2D7Rj+0/bQYG/PvqLuz+4m+ox1SsctxBacJKGfiHKydmGO5vVqwfmkXMyV4vby7yRyWOPPWb5/8MPP6Rfv34VOtYtw2+hbpe6AORk5LB22lrp3yKcjiQtwjWZv/Br1lQ3G8rMhAED1M3m6356eKhDnwGOHrXxOgHC2exZsIeUlBRAnajzueeeK3I/Y6aRvQP2snfAXoyZRY860+l09HiuB9WiqwFqx9xTW0/ZJW4h7EWah4TrSUpSN7BL05DRCEuX5pVtrkUL2LVLXSPg0CG45RY7nEQ4uozrGRxYrHYo13vooQ88sfiJIvf9vNfnXF16Vf2nhNekh7cH7Ue2Z/nbywHY8dMOYtvHotPrbBq7EPYiNS3C9dixE26VkJlxBbDn1z2WeVWa9G9CQGiATY4b2yGW0PqhAFw5eYWEzQk2Oa4QVUGSFuF6nLUTrpl0xnV76VfTObBUrWUxeBlsOkRZp9PR7oF2lv+3/7wdxSR9W4RzkKRFuB5XqmmRzrhuaff/dmPMVtt5mt7R1ObT70e3jaZmQ7Wv17VT1zix8YRNjy+EvUjSIlyPde1Es2baxVFRtWqBeQ4OqWlxO2lX0oj/U13g0OBloNW9rWx+Dp1OR7sH82pbdvy8A6MsGyGcgCQtwrWYTHm1E3XrQoBt+gFUKZ0ur4no3Dm4dk3beESV2jV/F8YcNYFoNqAZftXsM/1yrda1CG+izmR+/cx15s6da5fzCGFLkrQI13LqVN50tc7YNGQmTURuKfVSKoeWHwLA09fTrtPt63Q62j/Y3vL/G2+8kW/laCEckSQtwrVUQSdcf39QFHXzt21XgzzSGdct7Zq/C1OuCYBmdzXDJ8inTLcz+BvoofSgh9IDg3/ZF6KNahlFZItIAI4cOcJPP/1U/qCFqEKStAjXcvBgXtkZ+7OYWcdufZ+Ey8pIzuDwysOAWsvScnDLKjlvuxF5fVvee+89mSVXODRJWoRriY/PKzdpol0clWUdu/V9Ei7r2JpjllqWJv2b4BNYtlqWyopsHmnp23Lw4EG2bdtWJecVoiIkaRGuxfwFr9NBOReVK6vMTBg6VN1sPo2/WVgY1KihliVpcXmKonB41WHL/41vb1yu2xszjRwYeoADQw8UO41/SRr1yXuvzJw5s9y3F6KqSNIiXIeiqNPeA8TFga+vXU5jNMIvv6ibXUeJmmtbEhMhOdmOJxJau3LiClcT1Gn4azaqSUjtkPIdwAiXfrnEpV8ulTiNf3HqdqmLn586Sunnn38mQ9a8Eg5KkhbhOs6dg5uLyzl105CZNBG5DXNfFoBGve1TQ1gSLz8vhg4dCkBycjILFy6s8hiEKAtJWoTrcJX+LGaStLgFY46RY+uOAepkcvW61dMkjjFjxljK0kQkHJUkLcJ1SNIinNCpLafISskCoE6nOnj5e2kSx2233UbdunUBWLlyJadPn9YkDiFKIkmLcB2StAgnZN0B17pDbFXT6XSMHj0aUDsGf/fdd5rFIkRxJGkRrsPVkpboaLjZOVKSFteUdiWNs7vOAhBQM4CoFlGaxjNq1Ch0Oh0As2bNkjlbhMPx0DoAIWzG/MUeHg7Vqmkbiy3o9dC4MezcCSdPquOrfapm7g5RNY6uPopiUhODhr0aotPrKnScp5c+zTCGWcpGn4oNa4uJiaF3796sXLmS48ePs379em677bYKHUsIe5CaFuEarl6FpCS1bOdaFj8/SE1VNz/7rGWXx3xfTCY4etTOJxNVqeDcLA17NazwsYzeRubNm8e8efMwelduHL50yBWOTJIW4RqqsGlIp1PXHPL3V8t2Jf1aXNbFQxdJPqfOvxPZIpKgiKCKH0wHRh+jWsNSydfkPffcQ3BwMADz588nNTW1cgcUwoYkaRGuwdX6s5hJ0uKyjqw6Yilr2QG3IF9fX0aMGAFAWloa8+fP1zgiIfJI0iJcQxUmLVlZMHq0umVl2fVUkrS4qNzsXI6vPw6oiyPW7Vy3UsfT5+jpOK0jHad1RJ9T+Y916yai2bNnV/p4QtiKJC3CNVRh0pKbC7Nnq1turl1PBfXrg8fN/vKStLiM83vOk5ORA0CdznXw8K7cmAidUUfdv+pS96+66IyVb7Ns3749jW6u3bV+/XouXbpU6WMKYQuStAjXYP5CDwyEKG2HjdqUp6eauAAcPmznxY5EVTm5+aSlXKdTHQ0jKZpOp+Oee+4BwGQy8fvvv2sckRAqSVqE80tPh1On1HLjxlXQO7aKmWuOsrIgIUHTUETlmYwmTm1VX68e3h7UalVL44iKNnjwYEtZ1iISjkKSFuH8Dh9WV3gG1+qEayb9WlxK0uEkMpMzAajdpnalm4bspX379kRGRgKwfPlyGUUkHIIkLcL5HTqUV5akRTi4hM0JlnLcrXGaxVEavV7P3XffDUBWVhbLly/XOCIhJGkRrsBVhzubSdLiMhRFsSQtOr2OmHYx2gZUCmkiEo5Gkhbh/Fw9aWncOK8sSYtTu3b6Gjcu3AAgsnkkPoGOvSxDz549CQpSJ71bvHgxOTk5Gkck3J0kLcL5mb/IvbygbuXmuygLPz91xYCkpCqYxh/UqXdjbv4ij4/P678jnI69moaM3kZ+/f5Xfv3+10pP42/Ny8uLO++8E4Br166xfv16mx1biIqQpEU4t9xcOHJzZtEGDfLmNLEjnQ7CwtStygYqmWuQkpPhwoUqOqmwtYQtCZZyXMc42x1YB1nBWWQFZ1V6Gv+CpIlIOBJJWoRzO3ECzFXWrtg0ZCb9Wpxe6qVULh+7DEBovVACwgI0jqhs7rjjDjw9PQE1aVGkpk9oSJIW4dw06M+SlQXjxqmb3afxN7O+b9ajpYTTsFstC+o0/m1ntKXtjLY2mcbfWlBQEL179wbgzJkz7Ny506bHF6I8JGkRzk2DpCU3Fz7/XN3sPo2/mdS0OD17DnXWGXU0XNqQhksb2mQa/4KkiUg4CklahHNz9ZFDZjKCyKllpmSSuD8RgMCIQKrFVtM4ovIZNGiQpSxJi9CSJC3CuZm/wHU6uLnAm0sKC4MaNdSyJC1O5/T20ygmtS9IXMc4dE621ERkZCS33norAPv37+fYsWMaRyTclSQtwnkpSl7/jrg48PXVNBy7M9cknT+vjiISTsNZZsEtiXUT0W+//aZdIMKtOeaiF0KUxblzkJKilq2bT1xVkyawYYNaPnQIOnbUNh5RJrnZuZzdeRYAnyAfwhuHaxxR0cb+PrbE668HXbeUFy5cyPPPP2/niIQoTGpahPNyl/4sZtIZ1yldOHiB3Cy1x3ZMuxj0Buf82A2pHULDhg0B2LRpE8lS2yc04JzvHiHA9RdKLEiSFqd0dtdZS7l2m9oaRlJ5/fr1A8BoNPLXX39pHI1wR5K0COelUdLi6wsnT6pblXajsW4CO3y4Ck8sKsOStOigdmv7JC1GLyOLvl7Eoq8XYfSy3TT+BfXt29dSllWfhRakT4twXtZJSxWOHNLr1X6/VS4mBnx8IDNTJphzEulX07macBWAsHph+ATZaYFEPaSFp9nn2FZ69OiBp6cnOTk5krQITUhNi3Be5tqGGjUgNFTbWKqCXp+XnB0/nrd8gXBYZ3fnNQ3VuqWWhpHYRkBAAF26dAHgxIkTMvRZVDlJWoRzSklRRw9BlY8cys6GF19Ut+zsKj113n3NzVXXXRIOzbo/S/Qt0XY7jz5HT+uZrWk9s7XNp/EvyNyvBaSJSFQ9SVqEc7Lu01HFSUtODnz4obpVeWWHdTOYNBE5NJPJZKlp8fT1pGajmnY7l86oo8mCJjRZ0MQu0/hbs+7XsmzZMrueS4iCJGkRzkmj/iyas07QJGlxaHv27CEzOROAqBZRGDwNGkdkG61btyYsLAyAv/76ixxpphRVSJIW4Zw0rGnRlIwgchrWtRC1b3Huoc7W9Ho9t99+OwCpqals2rRJ44iEO5GkRTgn61oGd0pabk7uBUhNi4Oz7u/hSkkLSL8WoR1JWoRzMn9he3pCnTraxlKV/P0h+maHzkOH1PWXhMNJTU1lw80lFwLDAwmKDNI4Itsy17SA9GsRVUuSFuF8jEY4elQt168PHm423ZC5ZunaNbh0SdtYRJHWrl1r6etR+5baTreqc2kiIyNp2bIlADt27ODy5csaRyTchSQtwvmcOgVZWWrZnZqGzKRfi8Nz1f4s1syjiBRFYeXKlRpHI9yFm/1EFS5B4/4svr6wf39eucoVHPbcrZsGQYiSmPt56PQ6arW0/6RyRi8jSz5bYilXhX79+vHhhx8C6v29//77gdJXiwb4cuCXdo1NuC5JWoTz0Thp0euhWbMqP20eGfbs0E6dOsXhmzVgNRvVxMvfy/4n1cONmBv2P4+Vrl274uvrS0ZGBsuWLUNRFJdrBhOOR5qHhPOxbhJxpzlazCRpcWjWo2nsOQuu1nx8fOjevTsA58+f5+DBgxpHJNyBJC3C+Wg8sVx2NkyerG5VPo0/QFQUBASoZenT4nC06M+iz9HT/KfmNP+pud2n8bcms+OKqiZJi3A+5qQlIgJCQqr89Dk58MYb6qbJZKA6XV6ydvKkuuqzcAhGo5FVq1YBUK1aNULrV81CnjqjjhZzWtBiTgu7T+NvzXq+FklaRFWQpEU4l2vXIClJLbvjyCEz8303mUBW2nUYO3fu5Pr16wD07t0bvcG1P2KbNGlCrVpqR+MNGzaQrUnVo3AnFXpHTZ8+nbi4OHx8fOjYsSNbt24tcf/r168zbtw4IiMj8fb2pmHDhixdurRCAQs35+79WcykX4tDWr16taXcq1cvDSOpGjqdjp49ewKQnp5e6neBEJVV7qRl7ty5TJgwgUmTJrFz505atWpFv379SDL/+i0gOzub22+/nYSEBH755RcOHz7M119/bcnOhSgXd52+vyDrhE36tTgM66TF/GXu6qzvp/X9F8Ieyp20TJ06lccee4wxY8bQtGlTZsyYgZ+fH99++22R+3/77bdcvXqVhQsX0qVLF+Li4ujevTutWrWqdPDCDUnSopKaFoeTk5PD+vXrAYiIiKCRm9QEStIiqlK5kpbs7Gx27NhBnz598g6g19OnT59iV/pctGgRnTp1Yty4cYSHh9O8eXPeeecdjMbiJ0DKysrixo0b+TYhAPdd3bmgBg3UDrkgSYuD2LZtG2lpaYDaNOQuc5bUqVOHuLg4ADZu3Ehudq62AQmXVq7J5S5fvozRaCQ8PDzf5eHh4Rwq5oPzxIkT/PXXXzz44IMsXbqUY8eO8dRTT5GTk8OkSZOKvM2UKVN44403yhOacBfm15mPD8TEaBuLlnx81IUiT5zIWzjRTb4kHUXBmV93zttpKZ+tfrZMM8O6ip49ezJz5kyysrJIOpREVMsorUMSLsruXdtNJhM1a9bkq6++om3btgwfPpx//etfzJgxo9jbTJw4keTkZMt25swZe4cpnEFOTt5ImYYN1alpNeDjA1u3qpuPjyYhqMzND6mpkJioYSACIHFf3nMQ1aJqv7RNniaWfbSMZR8tw+RpqtJzQ/4movP7zlf5+YX7KFdNS2hoKAaDgYsXL+a7/OLFi0RERBR5m8jISDw9PTEYDJbLmjRpwoULF8jOzsbLq/AU197e3nh7e5cnNOEOTp6E3JtVzxo2DRkM0L69ZqfP07gx/PGHWj50SJ10TmjCmGPkQvwFAPxD/QmMCKzS8ysGhasNrlbpOa1J0iKqSrmSFi8vL9q2bcuqVasYPHgwoNakrFq1ivHjxxd5my5duvDTTz9hMpnQ3/xlfOTIESIjI4tMWIQolnTCza9gZ1w3GGLrqJIOJ2HMVvvpRbWIctn+LCU1eQVFBnEj8QZJR5LIzcrFw1uWthO2V+769QkTJvD1118ze/Zs4uPjefLJJ0lLS2PMmDEAjBw5kokTJ1r2f/LJJ7l69SrPPvssR44cYcmSJbzzzjuMGzfOdvdCuAeNp+83y86GDz5QN03n0iq42rPQjHXtQlWs6lyQPkdP418b0/jXxlU6jb81cz8WU66JCwcvaBKDcH3lToWHDx/OpUuXeP3117lw4QKtW7fmzz//tHTOPX36tKVGBSA6Opply5bxj3/8g5YtW1KrVi2effZZ/vnPf9ruXgj34CA1LTk58NJLavmpp0CzCkPrx0DmatHU+b15SYsWnVB1Rh23zLoFgKN3HgXPKg+BqBZRHFqmvkfP7z1fZesuCfdSofq78ePHF9sctGbNmkKXderUic2bN1fkVELksf5ibthQuzgcRc2a6tpL169LTYuGcrNyuXhY7ecXGBFIQFiAxhFpw7rzsfRrEfbi2gtjCNehKBAfr5ajo/NWOXZnOl1ebcvp03BzjhBRtS4euogpVx2xU9WjhhyJXzU/QqJDALh07BLZ6bIOkbA9SVqEc7h8WV0sEdx7zaGCrB+LI0e0i8ONWdcquHPSAnn3XzEp0q9F2IUkLcI5yEy4RZN+LZrL159FkhZLWZqIhD1I0iKcg4OMHHI41kmLuflMVJmcjBySjqqLxQbXCsa/hr/GEWlLkhZhb5K0COdg/YXcpIl2cTgaWThRUxfiL6AYFUBqWQB8gnyoHlcdgCsnrpCVmqVxRMLVyOw/wjk4yHBnUKfuNy9mq+k0/gD16oGHhzpTsCQtVU7roc5mJk8Tq95eZSlrKapFFFcTrqKYFBL3JxJ3a5ym8QjXIjUtwjmYv5ADAzWfrt5ggB491M1qdQpteHpC/fpq+cgRKGH1dGF7+TrhNtfudakYFJJaJJHUIgnFoGgWB0gTkbAvSVqE48vIUNcdArWWxUWnSK8wc81TZiacOqVtLG4kOz2by8cvA1Atphq+Ib4aR+QYIptHws23qCQtwtYkaRGO7+hRdZ4WcIj+LDk5MH26uuXkaB0N+R8TaSKqMhfiL6CY1NdlZPNITWPR5eposKQBDZY0QJerbVLvHeBNaN1QAK6eukpmSqam8QjXIkmLcHzWnXAdYLhzdjaMH69umq49ZCYjiDSRuD/RUtayaQhAn6un3ZftaPdlO/S52n+sRzSLUAsKMl+LsCntX91ClMaBOuE6JBlBpIkLB/K+jC1f0gLIn8RZP05CVJYkLcLxyXDnkklNS5VLS0vLNz+LXzU/jSNyLBFN85I46xopISpLkhbh+My1Bx4e6hBfkV9QUN6IKqlpqRKbNm2yzM+idX8WR+QT5EO12GoAXD5xWdYhEjYj87QIx2Yy5U1PX7++OsRXFNakCZw/D1euqOs0hYZqHZHTG/v72GKv2/7jdktZ6/4sjiqyWSTXTl1DMSlcjL9IdNtorUMSLkBqWoRjO3VKHcoL0p+lJNJEVKWsmzykP0vRrGugpIlI2IokLcKxWTd3SH+W4smw5yqTm51L0hG1P0tgRCABoQEaR+SYIptZJS0HJGkRtiHNQ8KxOdhwZwBvb1i8OK/sEKSmpcpcOnIJY44687D1F7OWTJ4m1r621lJ2BH7V/AiuFUzyuWQuHbtEblYuHt7ylSMqR15BwrE54HBnDw8YMEDrKAqQYc9VxrrWwFE64SoGhfPtHW/22chmkSSfS8aUa+LioYvUalVL65CEk5PmIeHYHLCmxSFFRanrMoHUtNiZdf8MR6lpcVTSRCRsTZIW4djMtQZRUerQXgeQkwOzZqmbQ0zjD+p6TOak7tQpSE/XNh4XZa4xAPAP9ScwPFDjiFS6XB11VtWhzqo6mk/jby1fZ1xJWoQNSNIiHNfly+oGDtUJNzsbxoxRN4eYxt/M/Bgpirpek7A5c98MUGsRdA6yeKc+V8+t/7mVW/9zq0NM428WEBZAYE01sUs6nGTpCyRERTnOq1uIghywP4tDk864dpevP4s0DZWJubbFmG20jLoSoqIkaRGOS4Y7l48Me7Y7R+yE6+ikiUjYkiQtwnFJJ9zykZoWuzIZTZYVi31DfAmuFaxxRM4hX2dcmWROVJIkLcJxSfNQ+dSrp47HBqlpsYOrCVfJSVd7XjtSfxZHFxgRiH8NfwAuHrqIKdcx5pERzkmSFuG4zF+8gYF5CwKK4nl6quszARw5Akbp9GhL5/fnzYMiU/eXnU6nszxeuZm5XD5+WeOIhDOTpEU4powMOHlSLTdurA7pFaUz10hlZqpDn4XNXDhwwVKWRRLLR/q1CFuRGXGFYzp6VB26Cw7XCdfbG+bNyys7lCZNYOFCtXzoENStq2k4rkIxKZYvW+9Ab6rFVNM4ovxMniY2vLTBUnY00q9F2IokLcIxOXAnXA8PGDpU6yiKUbAz7p13aheLC7l25hpZKVkARDSJQKd3rJo/xaBwpusZrcMoVkjtEHyDfclIzuBC/AWMRiMGg0HrsIQTkuYh4ZhkuHPFyLBnu5ChzpVj3a8lOy2bffv2aRyRcFaStAjH5MA1Lbm5MH++uuXmah1NAY0a5ZVl2LPNOPqkcjqjjugN0URviEZndKxaIDPrx23dunUaRiKcmSQtwjGZawk8PNShvA4kKwuGDVO3rCytoykgKChvpJXUtNiEoiiWTrievp7UqFtD44gK0+fo6fp+V7q+3xV9jmN+rFuPuJKkRVSUY766hXszmeDwYbVcv746lFeUnbmJ6MqVvLWbRIXdSLxB+lV1AcrwxuHoDfKxWRHVY6vj5e8FqEmLYu5oL0Q5yLtPOJ5Tp9Qhu+BwTUNOQWbGtSlHbxpyFnqDnogmam3LpUuXOGz+YSJEOUjSIhyPdMKtHOmMa1PW87NIJ9zKsX78pIlIVIQkLcLxHDyYV5aalvKzfsysH0tRIeaaFoOXgbAGYRpH49ykM66oLElahOOx/qJt2lS7OJyV9WMmSUulpF5KJeViCgA1G9XE4Clzi1RGaL1QPLzV6cHWrl0r/VpEuUnSIhzPgQN5ZWkeKr+ICKh2c8ZW68dSlJv0Z7EtvYee8MbhAJw9e5aEhARtAxJOR2bEFY5FUfJqB+rUAX9/beMpgpcXzJyZV3Y4Oh00awYbNsC5c3D9OoSEaB2VU3KWpMXkYWLzs5stZUcW2SySc3vOAWoTUZ06dTSOSDgTqWkRjuXMGUhRq+Np1kzbWIrh6QmjR6ubw47Gtn7spImowsydcHUGHTUb1dQ4muIpHgone5/kZO+TKB6O3eQS0VzmaxEVJ0mLcCzWzRkOmrQ4BevHTpqIKiTjegbXz14HIKx+GJ4+jpqhOpeaDWri5ZU3X4sQ5SFJi3AsTpC05ObCkiXq5nDT+JtJ0lJpiQedo2kI1Gn8o7ZFEbUtymGn8Tfz8PagQ4cOABw7dozz589rHJFwJpK0CMdi/QXroCOHsrLgrrvUzeGm8TezfuwkaamQfPOzOHjSos/R0/2t7nR/q7vDTuNv7bbbbrOU169fr2Ekwtk4/qtbuBdz/wudTkYOVUZ4OFSvrpalT0uFJO6/WdOig/Am4doG42KskxZpIhLlIUmLcBwFRw75+WkbjzMzjyACOH9eHUEkyuz69etcSbgCQI24GngHeGsckWvp3Lkzer369SNJiygPSVqE4zh9GlJT1bKD9mdxKtKvpcL+/vtvuDkIR6but73AwEDatGkDwP79+7ly5YrGEQlnIUmLcBxO0AnXqUjSUmHWv/4jmkWUsKeoKOsmog0bNmgYiXAmkrQIxyFJi21J0lJh1klLZFOpabEH6dciKkKSFuE4nGDkkFOREUQVkpaWxvbt2wEIqR2Cb4ivxhG5pq5du1rKa9eu1TAS4UxkGn/hOMxfrDqdQ6/u7OUFn32WV3ZYNWtCjRpw5YokLeWwceNGcm9OwOMsTUMmDxPbx263lJ1BjRo1aN68Ofv372fXrl0kJycTHBysdVjCwUlNi3AMJhPEx6vlunUdeuSQpyeMG6duDjuNP+QfQXThAly9qm08TsL6V39U8ygNIyk7xUPh6ICjHB1w1OGn8bfWo0cPAEwmk9r5WYhSSNIiHMPp05CWppalP4vtyBpE5bZmzRpLWUYO2Vf37t0tZevHXYjiSNIiHIMTdcI1GmHNGnUzGrWOphTSGbdc0tPT2bp1KwDBUcH413C8VcaLojPqqLmvJjX31XT4afytWXfGlX4toiwkaRGOwYmSlsxM6NlT3TIztY6mFJK0lMvmzZvJyckBnKuWRZ+jp/e/etP7X72dYhp/s5o1a9L0ZofxHTt2kGJe4V2IYjjPq1u4Nhk5ZB8ygqhc8jUNOfh6Q67C3ERkNBqlX4solSQtwjGYv1D1eoceOeR0ataE0FC1LElLqaybKJyppsWZmTvjgjQRidJJ0iK0V3DkkK/Mi2FT5iaiixfV4c+iSBkZGWzevBmAunXrEhAWoHFE7sG6X4t0xhWlkaRFaO/UKUhPV8sO3p/FKckIojLZsmUL2dnZQP5f/8K+IiIiaHyzdnX79u2kmUcRClEESVqE9pyoE65Tks64ZWLdNGE9FFfYn/nxzs3NZePGjRpHIxxZhZKW6dOnExcXh4+PDx07drQMESzNnDlz0Ol0DB48uCKnFa5Kkhb7kqSlTKybJiRpqVrWNVvSRCRKUu5p/OfOncuECROYMWMGHTt2ZNq0afTr14/Dhw9Ts2bNYm+XkJDACy+8QLdu3SoVsHBBTpa0eHrC++/nlR2eJC2lyszMtPRniYuLIzY2FvZqHFQ5KAaFXaN3WcrOxjpJlM64oiTlrmmZOnUqjz32GGPGjKFp06bMmDEDPz8/vv3222JvYzQaefDBB3njjTeoW7dupQIWLsh65FCjRtrGUgZeXvDii+rm0GsPmYWGQliYWpakpUhbt24l8+akO85Yy2LyNHHo3kMcuvcQJk/nWHvIWmRkJA0aNADU5yLd3MdNiALKlbRkZ2ezY8cO+vTpk3cAvZ4+ffqwadOmYm/35ptvUrNmTR555JEynScrK4sbN27k24SLsh45VK8e+PhoG4+rMte2JCXB5cvaxuKArH/dSydcbZgf95ycnBK/T4R7K1fScvnyZYxGI+Hh4fkuDw8P58KFC0XeZsOGDfz3v//l66+/LvN5pkyZQnBwsGWLjo4uT5jCmSQkQEaGWnaCpiFQp+7ftk3dHH4afzMZQVQiZ++EqzPqqH60OtWPVneqafytSRORKAu7jh5KSUnhoYce4uuvvybUPMFVGUycOJHk5GTLdubMGTtGKTTlZP1ZQJ26v0MHdXP4afzNpF9LsbKzsy0jVmJiYoiLi9M2oArQ5+jp93w/+j3fz6mm8bcmiyeKsihXR9zQ0FAMBgMXL17Md/nFixeJiIgotP/x48dJSEhg4MCBlstMJrW91cPDg8OHD1OvXr1Ct/P29sbb27s8oQlntW9fXtlJkhanZP3YWj/mgm3btpFxs7ave/fu6HTOWVPh7GrXrk29evU4fvw4W7ZsISMjA1+ZaFIUUK6U3MvLi7Zt27Jq1SrLZSaTiVWrVtGpU6dC+zdu3Jh9+/axe/duyzZo0CB69uzJ7t27pdlHwJ49eeWWLbWLw9W1aJFXtn7MhdM3DbkS8+OfnZ3Nli1bNI5GOKJy1yNOmDCBr7/+mtmzZxMfH8+TTz5JWloaY8aMAWDkyJFMnDgRAB8fH5o3b55vCwkJITAwkObNm+PlFEMvhF2Zv0C9vZ1i5JDTqlYNYmPV8t69agdoAeRvipBOuNqS+VpEaco9T8vw4cO5dOkSr7/+OhcuXKB169b8+eefls65p0+fRq93zjZVUcXS0+HoUbXcvDl4lPvlKMqjVSt1yYTUVDh5Uh2t5eZycnIs/Vlq1aolUzJoTPq1iNJU6Fti/PjxjB8/vsjrSnuhzZo1qyKnFK5o//68X/ytWmkbizto1QoWLVLLe/ZI0oLan8W81o30Z9FeTEwMderU4eTJk2zevFn6tYhCpEpEaGf37ryyJC32Z/0YS78WgHz983r37q1hJMKsV69egDpfl6xDJAqSpEVox/qL04mSFk9PmDRJ3ZxiGn8zSVoK+euvvyxlZ05aFIPCvvv3se/+fU45jb816+fB+vkRAirYPCSETTjpyCEvL5g8WesoKqBuXQgIUPu0WNdyuan09HTLL/m6deuq6w05KZOnif0P7Nc6DJvo2bOnpbxq1SrefvttDaMRjkZqWoQ2TCZ1FAtATIw6ukXYl16fN/T51Cm4fl3TcLS2ceNGsrOzgbwmCaG9iIgImjZtCqh9jpKTkzWOSDgSSVqENhISICVFLTtR0xCo+daBA+rmdCOHrR/rvU60jLEduErTEAAmCDodRNDpIHC212QRzM+HyWRi/fr1GkcjHIkkLUIb1k1DrVtrFkZFZGSoI7SbN89bNslpWD/Wbt6vxboTrnWThDMyZBsYMH4AA8YPwJBt0DqcSrOu+bJ+noSQpEVow0k74To96YwLQHJyMtu3bwegefPmhRaBFdrq0aOHZb4v6YwrrEnSIrQhw5210aIFmOciceOkZe3atZZ10KQ/i+MJCQmhTZs2AOzdu5ekpCSNIxKOQpIWoQ3zF2ZAgDqqRVQNf3+oX18t798PubnaxqMR61/vkrQ4JuvnRWbHFWaStIiql5ysdsQF9Ze/LPtQtcw1W5mZecsouBlz0qLX62WRRAcl87WIosg8LaLqWY9akaahqteqFfzyi1resweaNNE2niqWlJTEvn37AKhRrwb/XP9PjSMSRenSpQuenp7k5ORIZ1xhIT9xRdWTTrjasn7M3XCSudWrV1vKtVrW0jASURJ/f386deoEwLFjxzh9+rTGEQlHIEmLqHpOnrR4esILL6ibU03jb+bmI4isf7VHtYzSMBLbUQwK8ffEE39PvNNP42/Nul+LNBEJAJ2iKA7/Cr9x4wbBwcEkJycTFBSkdTiisjp0gG3b1FEsN26onXFF1VEUqFEDrl2DyEg4f17riKpU/fr1OX78OHoPPaN/Ho2Ht7SSO5ovB34JwIYNG+jWrRsADz30EN99952WYYkKsPX3t9S0iKqVmws3+xNQv74kLFrQ6fJqWxIT4dIlbeOpQqdOneL48eMAhDcOl4TFwXXo0AE/Pz9ArWlxgt/Yws4kaRFV6+hRddQKOGXTEKhT9yckqJvTTeNv5qZNRNZNDK7SNASACfwv+uN/0d8lpvE38/LystS0nDt3jiNHjmgckdCaJC2iajl5fxZQp+6vU0fdnG4afzNJWlyqE64h28CgxwYx6LFBLjGNvzUZ+iysSdIiqpYLJC0uwQ2TFkVRLJ1wPXw8CGsQpnFEoixkHSJhTZIWUbUkaXEMTZuC4eYvcjdJWuLj40lMTAQgsmkkBk/XqpFwVa1bt6ZatWqAWtNiNBo1jkhoSZIWUbXMX5AhIRAdrWkobs3HBxo3Vsvx8ZCdrW08VWDZsmWWcq1bXKdpyNUZDAZLE9G1a9csC10K9yRJi6g6ly7lDa9t1Spv4T6hDXNNV04OHDyobSxVwDppib5FEmZn0q9fP0vZ+nkU7keSFlF1rJshWrfWLAxxk/Vz4OJNRBkZGaxduxaA2rVrExIdom1Aolysk5Y///xTw0iE1iRpEVXHesp46c+iPevnYNcu7eKoAuvWrSPz5lD7/v37o5NaPqcSHR1N06ZNAdiyZQvXrl3TOCKhFUlaRNXZti2v3LatdnFUkocHPPWUunk489xkbdrklV28n4B1k4L1r3ZXoRgUjtx5hCN3HnGpafytmZ83k8kko4jcmCQtoups3ar+9fNTR684KW9vmD5d3by9tY6mEkJDoW5dtbxzp9q3xUWZmxT0en2+eT9chcnTxI4ndrDjiR2YPF1odjkr0kQkQJIWUVUuXVKnkAX1F75TV1G4kA4d1L8ZGXDggLax2MmZM2eIj48HoGPHjpbhs8K53Hbbbfj4+ABqzZlM6e+eJGkRVcO6acj8RemkFEXNwS5dUstOrX37vLL1c+RCrJuG+vfvr2EkdqSAd7I33sne4OyvyWL4+vrSvXt3AM6ePWtJRIV7kaRFVA1z0xA4fdKSng41a6pberrW0VSS9XNh/Ry5EOumBFfszwJgyDJw70P3cu9D92LIct1J86SJSEjSIqqG9a9461/3Qlu33AL6mx8DLljTkpuby8qVKwGoXr067dq10zgiURkyX4uQpEXYn6Lk/YqvUUNdaVA4Bn9/aN5cLe/f7wJVR/lt3bqV5ORkAPr06YPB4Lq1EO6gSZMm1K5dG1CHsWc47YqloqIkaRH2d+oUXL6sltu3l5lwHY25ichodLn5WtyiP4sb0el0lucxMzOTdevWaRyRqGqStAj7c6H+LC7JurnOxfq1WPd76Nu3r4aRCFuRfi3uTZIWYX/WX4TSn8XxuGhn3CtXrrDtZj+d5s2bU6uWLJLoCnr37o3+Zj8s6dfifiRpEfYnnXAdW7Nm6qrP4FKdcVeuXGmZy8NVRw25o2rVqtGxY0cA4uPjOX36tMYRiaokSYuwL6MRduxQy7GxEB6ubTw24OEBo0apm0vMkefpmTel//HjcOWKtvHYiHXTgav3Z1EMCid6neBErxMuO42/NevnU2pb3IskLcK+4uMhLU0tu0gti7c3zJqlbk49jb816yYiF1iHSFEUli9fDqiTknXt2lXjiOzL5Gliy3Nb2PLcFpedxt+aDH12X5K0CPuSTrjOwcU64+7Zs4fz588D0KNHD8v078I1tGvXjurVqwOwYsUKsrOzNY5IVBVJWoR9uWAnXEVRK4/S0lxgGn8zF+uMu2jRIkv5rrvu0jCSKqKAIdOAIdPgstP4WzMYDNxxxx0A3LhxQ4Y+uxFJWoR9mTt26nTQtq22sdhIejoEBKiby8zFVq8emBcS3LbN6bMx66Rl4MCBGkZSNQxZBoYNG8awYcNcehp/a4MGDbKUrZ9v4dokaRH2k5kJe/eq5SZNIDBQ23hE8XS6vJqwixfhzBlt46mEs2fPsuNm5+9bbrmF6OhojSMS9tCvXz88PT0BNWmRVZ/dgyQtwn5274bcXLUs/Vkcn/Vz5MRDnxcvXmwpW/8aF64lODiYHj16AHDq1Cn27dunbUCiSkjSIuxHOuE6FxfpjGvdVHD33XdrGImwN+vnV5qI3IMkLcJ+ZFI552L9HDlpTUtqaiqrVq0CoHbt2rRu3VrbgIRdWfdXkqTFPUjSIuzH/GvdywtattQ2FlG6yEgw9//Yvl2dGNDJLFu2zDL8ddCgQehkcU6XFhMTY0lMt23bZhnmLlyXK8znKRzR9etw5Ihabt1aTVyE42vfXu2Em5IChw9D06ZaR1Qu1r+2T9Y8ydjfx2oYjagKgwYNYvfu3QD8/vvvjB0rz7krk5oWYR/Ws6q6WH8WgwGGDFE3g6uNLnXizri5ubksWbIEAE9fT6JaRGkcUdVR9AqnO5/mdOfTKHr3GkUjQ5/di9S0CPvYtCmv7GL9WXx8YP58raOwE+ukZdMmdYElJ7Fp0yau3Fw3KbpNNAZPV8soi2fyMvH3y39rHYYm2rRpQ61atTh37hyrVq0iNTWVgIAArcMSdiJJi7CPtWvzyi6+7otL6dBBXQUyNzf/c+gErH9lx3aI1TASUVlladb7cuCXAOh0OgYNGsQXX3xBVlYWK1as4J577rF3iEIj0jwkbC87GzZuVMu1a0OdOtrGI8rO3x/atVPLhw6pE805CXPSotPriG4nE8q5E2kich+StAjb274dMjLUcvfu6myrLiQtTb1LOl3eAtYupXv3vLKTrOly6NAhjtzs+B3RNAKfQPdaINGQaWDEoBGMGDRCXX/IzfTs2dPSJLR48WKMTjjyTZSNJC3C9qybFay/AIVzsH7OnKSJKF/TUEdpGnI33t7e9O/fH4DLly+zybpPnXApkrQI25Okxbl16QL6mx8NTpi0xHWI0y4QoRlpInIPkrQI28rNhb9vjmKIiIAGDbSNR5RfUBC0aaOW9++Hy5e1jacUSUlJbLzZh6pp06YERQZpHJHQwp133on+ZrK9cOFCWUDRRUnSImxr505ITVXLLtifxW1Y15CtX69dHGXwyy+/WL6gBg8erG0wQjM1atTgtttuA+Do0aPs2bNH44iEPUjSImxLmoZcgxP1a5kzZ46lPHz4cA0jEVqzfv6tXxfCdUjSImzL+gvu5rLxwgl165ZXS+bAScvZs2fZsGEDAE2aNKFFixYaRyS0dN9992G4OU313LlzpYnIBUnSImzHaMxrSqhZExo31jYeOzEY4M471c3lpvE3CwmBVq3U8p49cO2apuEUZ/78+ZYvpuHDh7vtAomKXuFcu3Oca3fO7abxtxYWFkbv3r0BSEhIYKt50VbhMiRpEbazZw/cuKGWb7vNZfuz+PjAkiXq5uPK04GYm4gUBW7WZjgaaRpSmbxMrHt9HeteX4fJy6R1OJq6//77LWVpInI9krQI25H+LK7Fwfu1nDx50vJLunXr1jR20Zo9UT733HMPnp6eAMybNw+Tyb2TOFcjSYuwHUlaXEu3bnllB0xa5s6daym7cy2LyC8kJMQy0dz58+ctfZ6Ea6jQgonTp0/ngw8+4MKFC7Rq1YpPP/2UDtarw1r5+uuv+e6779i/fz8Abdu25Z133il2f+GkTKa8/izVq0OzZtrGY0dpaWqXHYCkJHW5HpcUGgrNm6tztezcqTb9BTnOHCjSNJTHkGng3ofuBeDX73/F6OP609iXtKhiWsO89TXmzJljGQotnF+5a1rmzp3LhAkTmDRpEjt37qRVq1b069ePpKSkIvdfs2YNI0aMYPXq1WzatIno6Gj69u3LuXPnKh28cCD798PVq2r5ttvyZlR1Uenp6ubyzDVmJlPepIEO4NChQ5Z5ODp06EAdWZQTjywPPLIq9DvU5cS0j8HgpfaS/+WXX8jNzdU4ImEr5f5mmTp1Ko899hhjxoyhadOmzJgxAz8/P7799tsi9//xxx956qmnLG3O33zzDSaTiVWrVlU6eOFApGnINTlovxbrpiHrjpdCAHj5eRHTLgaAS5cusXr1ao0jErZSrqQlOzubHTt20KdPn7wD6PX06dOnzAtUpaenk5OTQ/Xq1YvdJysrixs3buTbhIOTpMU1WVerO0jSoiiKpWlIp9MxbNgwjSMSjqjebfUsZRlF5DrKlbRcvnwZo9FIeHh4vsvDw8O5cOFCmY7xz3/+k6ioqHyJT0FTpkwhODjYskVHR5cnTFHVFAXWrVPLwcHQsqW28QjbCQ/Pm29n+3a1Q4/G9u3bx6FDhwDo2rUrtWrV0jgi4Yhi2sYQEBAAwK+//kp2drbGEQlbqNKOB++++y5z5sxhwYIF+JQwwcXEiRNJTk62bGfOnKnCKEW5xcfDpUtquVs3F55xzU2Za85yc+HmwoRasv7VLE1Dojge3h7cfffdAFy/fp3ly5drHJGwhXIlLaGhoRgMBi5evJjv8osXLxIREVHibT/88EPeffddli9fTstSfol7e3sTFBSUbxMObM2avLI0Dbke6+fU+rnWgHXTkF6vZ8iQIZrGIxybTDTnesqVtHh5edG2bdt8nWjNnWo7depU7O3ef/993nrrLf7880/atWtX8WiFY1q6NK/cq5d2cVQRvV79Hu/e3eUHSal69swrWz/XGti4cSMnT54EoFevXtQ0jz13dzq42PwiF5tfBNeciLpC+vbtS0hICAALFiyQ/pEuoNwfuRMmTODrr79m9uzZxMfH8+STT5KWlsaYMWMAGDlyJBMnTrTs/9577/Haa6/x7bffEhcXx4ULF7hw4QKpqam2uxdCO+npYE5io6Lgllu0jacK+PqqFQ5r1qhllxcRAe3bq+Xdu0HD5tpvvvnGUn7ooYc0i8PRGL2N/PXOX/z1zl8YvV1/jpay8vLystS2pKen5xt1JpxTuZOW4cOH8+GHH/L666/TunVrdu/ezZ9//mnpnHv69GkSExMt+3/xxRdkZ2czZMgQIiMjLduHH35ou3shtLNqFWRmquW77nLZ9Ybc3l135ZWXLNEkhOTkZObNmwdAcHCwNA2JMnn00UctZeukVzinCs1ENH78eMaPH1/kdWsKtHknJCRU5BTCWSxenFe2/mITruWuu2DSJLW8eDE88USVhzBnzhzSb87o9+CDD+Ln51flMQjn06ZNG8sP7K1bt7J3795S+1UKx6VTzOu6O7AbN24QHBxMcnKydMp1JIoCtWvD+fPqcsdXroAbfJGkpUFcnFpOSHDhafytOcBz3b59e7Zv3w7AvR/fS2i90Co9vyMzZBoY9OggABZ9s8gtpvEvjwNLDvD3l+qMzs0HNqfzY50B+HLgl1qG5RZs/f3tDt0Ihb3s2qV+iQH07u0WCYvZ5cvq5jZ0uryatMzMvH5MVWT37t2WhCW0XqgkLEXwueGDz43ip5JwZ/W717dM63909VFys2Vaf2clSYuoOGkaci/Wz7H1c18F/vvf/1rKjfs2rtJzC+fnHeBN3S51AchKzSJhU4K2AYkKk9W1RMVZf3ENGKBdHKJq9O6tNg1lZqrPvaJUScfrjIwMfvjhBwB8fX2pf1t9u59TuJ7Gtzfm6OqjABxafoj63euXuFK0mTQhORapaREVk5gI27ap5datQZZacH1+fmriAmqz4K5dVXLa//3vf1y/fh2AYcOG4eXvVSXnFa4lolkEwVHBAJzfd57k88kaRyQqQpIWUTHWk4xJ05D70KCJyHqYqvXwVSHKQ6fT0ej2Rpb/D688rGE0oqIkaREVI/1Z3JN1M2AVJC1Hjhxh7c3VpRs3bkyXLl3sfk7huhr2aojOoDZpHl51GJPRpHFEorwkaRHll5kJ5sXHwsLyZkt1E3o9tGunbm4xjb+16Gho1Uotb9umNhPa0bfffmspP/roo+hk8sKi6eBK/StcqX9FpvEvgV81P2I7xAKQcS2D09tPaxyRKC93+8gVtrBmjTp9P6i/vN3sm9vXV/2+3rbNTabxL8i6Zs2OaxHl5OQwa9YsADw9PWXa/hIYvY0sn7qc5VOXyzT+pbAefXZo+SENIxEV4V7fNsI2rJsFBg7ULg6hDevn3I5NRHPnzrWsKD9o0CBZHFHYRO3WtfEPVWeEPL39tHTIdTKStIjyUZS8LypPT7j9dm3jEVWvfXu1WRBgxYq8tadsSFEUPvjgA8v/zz77rM3PIdyT3qCn2YBm6j8K7F24V9uARLlI0iLKZ/9+OHVKLffoAYGBmoajhfR0dRr/uLi8VjK3otfndchNS1ObC21sxYoV7N2rfpl07NiRrl272vwcrsSQZWDgowMZ+OhADFkGrcNxeE36NcHT1xOAI38dIeN6hsYRibKSpEWUz4IFeWU3HTWkKGreduqUWnZL1s/9r7/a/PDWq8C/8MIL0gG3NAoEJAUQkBQA7vqaLAfvAG9L3xZjtpEDSw9oHJEoK5kRV5SdosB336llnQ7uuUfbeIR2+vVTV4pMS4N58+A//7FJr+Sxv4/l8onLrFixAoCgiCCWeSxjxe8rKn1sIay1GNSC/b/vRzEpHFhygNb3tcbDW74SHZ3UtIiy+/tvOH5cLffuLbPgurOAABgyRC0nJ8OiRTY79N4FeX0MWgxugd4gH1PC9gLCAqjXrR4AWSlZHF4lk805A/k0EGV3c/gpAKNGaRaGcBDWrwHr10YlpF5K5fh6NTH2DvSmUe9GpdxCiIprdW8rS3nfwn0y2ZwTkKRFlE16utoMAOqvbGkaEt27Q6w6URfLl6vrEVXSvkX7UExqp4xmA5pJdb2wqxp1alCrdS0Ably4QcLmBG0DEqWSpEWUzcKFkJKilocOVfszCPem14N5wjeTCX78sVKHu379umWyL4OXIW9YqhB21OqevNqWPQv2oLht73rnIEmLKJvZs/PKbt40pNNB06bq5vaDWkaOzCvPnl2p4VRffvklORk5gLpGjG+wO043XEE6SI5OJjk6WabxL6darWtRo04NAC4ducSFgxc0jkiURJIWUbpz52DlSrUcFwfdumkajtb8/ODAAXXz89M6Go01aACdO6vlAwdg584KHSYrK4v//Oc/6j86aDm4pY0CdA9GbyNLpy9l6fSlMo1/Oel0unyvtz2/7tEwGlEaSVpE6X74Qa3+B7WWxc3WGhKlGD06r2xdI1cO06dPJ/Hm4otxHeMIjgq2QWBClE29bvXypvbfdpqLhy5qHJEojnz7iJIpSv4vIuvmACEAhg0DHx+1/NNPkJ1drptfv36dt99+W/1HB21HtLVxgEKUTO+hp82wNpb/t8zaIn1bHJQkLaJk27ZBfLxa7tYN6tbVNh4HkJ4OzZqpm1tO419QcDAMHqyWr1yBJUvKdfP33nuPq1evAtCgRwNL/wJRdoYsA3eOu5M7x90p0/hXUKPbGxFcS63hu3DwAqe3ndY4IlEUSVpEyaQDbiGKAgcPqpv8GLvJ+rVRjiais2fPMm3aNAC8vLxo92A7GwfmJhQIPhNM8Jlgmca/gvQGPR1GdrD8v3X2Vpm3xQFJ0iKKl5UFP/+sln191aHOQhTl9tshMlItL1kCly6V6WaTJk0i8+Yq0ePHjyewpvstwCkcR9ytcYQ3Dgfg2plrHFl1ROOIREGStIjiLVoE166p5XvugaAgbeMRjstggP/7P7Wcm1umOVsOHDjArJsz6QYHB/PKK6/YMUAhSqfT6eg4uqPl/+0/bSdd2oAdiiQtomiKAlYr7eYbISJEUaxfI9OmQU5OibtPnDgR081RaRMnTqRGDenLIrQX0TSC2A7qTM/pV9P55JNPNI5IWJOkRRTtr79g61a13LIl9OmjbTzC8TVtCnfcoZZPncprWizC+vXr+f333wGoVasWzzzzTFVEKESZdBjZAZ1enaXv3Xff5cqVKxpHJMwkaRFFMw9BBXjlFZn6VZSNdRPPlCl58/tYURSFl156yfL/m2++ia+vzH4rHEe1mGo06qMu1pmcnJw3JF9oTpIWUdimTbB6tVquXx+GDNE2Hgej06nrBMbGSi5XSNeueTMmHzoECxYU2uWbb75h8+bNADRr1oxRMiqt8nSQWjOV1JqpMo2/jbQd0RaDlzp8/JNPPmHXrl0aRyQAZAlVUdiUKXnll19WO1kKCz8/SEjQOoqqNfb3sWXet1mvAJ5Zr5ZP/fMJ3vFcBjodXw78kjNnzvD8889b9p06dSoGeX1VmtHbyO/f/K51GC7Fv4Y/re9rzY6fd2A0Gnn44YfZunUrnp6eWofm1qSmReS3dy/c7GtA7dp5q/gKUUYH2tTmVL1QAGKPX6bprrOA2iz0xBNPkHJztfAxY8bQt29fzeIUojSth7SmefPmAOzevZv3339f44iEJC0iv3ffzSu/+CJ4eWkXi3BOOh1/DG1t+feO+bsB+PHHH1m6dCkAkZGRfPTRRxoEJ0TZGTwNzJw5E/3N9dbefPNNDh48qHFU7k2SFpHn2DGYO1cth4bCo49qG4+DysiA9u3VLSND62gc0+5b65BYOwSAhgcSqb0lId8IoRkzZlCtWjWNonM9hiwDfSf0pe+EvjKNv421a9eOF198EYDs7GwefvhhjEZZSVsrkrSIPO+/nzfa4x//UDtviEJMJti+Xd2KGBwjAEWv48/7Wlv+7zp9PdduTlQ4YsQIBg0apFFkLkqBGsdqUONYDZnG3w4mTZpEo0bqaKItW7bwn//8R+OI3JckLUJ17hzcnJ2UoCB46ilNwxHOb2v3+lwJCwCg5/UMWgFhYWEyWZdwOr6+vvz3v/9Fd3O44L/+9S+OHj2qcVTuSZIWoZo4MW8G03HjICRE03CE8zN56Pm9X2PL/x8Bn336KaGhodoFJUQFdenSxdLEmZmZyejRo8kpZdZnYXuStAhYuRK+/14th4SoTUNCVFJudi6TNp8i4eb/vYGhNxdHFMIZvf3229SpUweAjRs38txzz2kbkBuSpMXdZWTAE0/k/f/++xAWpl08wiUoisKGLzZw+tglrBsadc8/D5cvaxaXEJXh7+/PnDlz8Lo5qvLzzz/nm2++0Tgq9yJJi7t7+204flwtd+0KjzyibTzCJRxYcoAjq44AsNzLwN+ta6lXXLkCL7ygYWRCVE6HDh348ssvLf8/9dRTbNy4UcOI3IvMiOvODhyA995Ty56e8NVXoJc8tiykW0bxzu89z6ZvNln+7/50dxa2jOKWp+bhl5YNs2cztf5lDreqpWGUriczSJreqsro0aPZtWsXn3zyCTk5Odx3331s376dWrXkNW1v8g3lrkwmePxxyM1V/3/5ZWjSRNuYnIS/P1y6pG7+/lpH41hSLqaw4r0VKCZ13G2re1tRv3t9blTz49dRHSz7PfjFBjyyc7UK0+UYfYws+GEBC35YgNFH5hCpCh9++CE9e/YE4MKFC9x7771kSp8tu5OkxV19/TWYqzQbNsy/Oq8QFZCVmsXyd5aTlZIFQHSbaNo/1N5y/Ya+TTjWJByA8PPJ3DlPFqATzsvT05N58+YRGxsLwNatW3n00Udl4jk7k+Yhd5SYCP/8Z97/M2aAj4928Qinl5mSydJJS7ly8goAQZFB9HqhF3pD3u8iRa/jh3HdePW5X/HINdHv1z1s71aP87HVtQpbiFKVtlho23+0JWliEhkZGfz4448YDAa+/fZbWQjUTqSmxd1kZMA990Bysvr/6NFws4pTlE1GBvTooW4yjT9k3shkyatLuHxMHRXkE+xDv1f74R3gXWjfxJjqLL+3FQAeuSaemLIC/xtSpV5ZhiwDvV7pRa9Xesk0/lUstG4oP/30Ex4eah3Ad999x6hRo8jNleZPe5CkxZ2YTDBqFGzZov5fuzZ88IG2MTkhkwnWrlU3d5/GP/NGJkteW2KpYfEN8WXg2wOpFl38ukJLht3C2Zu1K+Hnk3liygoMOVKlXikKhO8PJ3x/uEzjr4HBgwczb948S+Ly448/8tBDD0niYgeStLiT116D+fPVckAALF4sw2BEhWUkZ7D4X4stCYtfdT8GvjOQajElL4SY6+XB9Nf6kRziC6gLKj702TpQ5NtWOK977rmH//3vf3h6egIwZ84cHnzwQZk118YkaXEXs2bBO++oZb0e5syBVq00DUk4r+Tzyfz+yu9cPXUVUBOWu96+i5CbKzuX5mrNQD5/tR/ZXmpTRqfVR7ljvnTMFc5t0KBB/Prrr5bJ5+bNm8e9995Lsrk5XlSaJC3uYM0adXiz2bRpMGCAVtEIJ3dy00l+nfAr189cB8C/hj8D3xlISK2Qch0noWFNZv4jrz/V4B+20279cRtGKkTVu+uuu1iwYAHe3mqfrsWLF9OuXTv27t2rcWSuQZIWV7d7N9x7b95iiOPHw9NPaxqScE4mo4kts7awYsoKctLV11NIdAgD3xlIcFRwhY65s0tdfh2ZN3/L6GlraLTnnE3iFUIrd955J4sXL6ZaNbWp9NixY9x66618b17jTVSYDHl2ZYsWwQMPQFqa+v8dd8DHH2sbk3BK6dfSWfXBKhL3J1ouq9etHreNvw1PX89KHXvZfa2oeT6ZrisP45lj5NnJS/nxyW783bdx6TcWwkH16dOHnTt3MmTIEHbs2EFGRgYjR45kyk9T6PxYZwye+Ud5fTnwy2KOJKxJTYsrUhT48EMYPDgvYbn1VrUfi4fkqbbg56durs5kMjF79mz+98z/LAmLzqCj8+Od6fVCr0onLOoBdfz0ZFf2to8BwGBUGPnZOu6buRmd0c2HZ5VDrncuud4yWsWRxMXFsWHDBhpbJeDxf8azYMKCfD8ARNnpFMXxu+zfuHGD4OBgkpOTCQoK0jocx5adDU89Bf/9b95l998P334Lvr7axSWczs6dOxk/fjybNuWtI+Rfw5/eL/UmokmEzc+nN5oY8u1mev++33LZ7g6xfPt8L7JskRwJYSel1ZKM/X0sh1ceZsOMDRiz84b31+9en46jO+Jfw99la1ps/f0tSYsrOXMGRo5UO96aTZ4Mr78OOp1WUQknc/XqVV599VVmzJiB9cdDnc516PpEV3xD7Jv83vbHQe7/8m8MN9cvOlOnBl+/2JuLZRyZJISjunLyCus+XcelY5csl3n6etLm/jas/3K9Zbi0K5GkRZKWwjIz4aOP1CHN6enqZd7e6jDn++/XNDThPM6ePcsnn3zCl19+yY0bNyyXN27cmLoP1KV269pVFkuTXWd5/P2V6qrQQK6HnlUDm7NkeBuy/LyqLA4hbM1kNHF4xWG2fr/Vsk4XQGxsLM899xyPPPIIgYGBGkZoW5K0SNKS3+LF8NxzcNxqqGh4OCxcqPZjETaXmQn33aeW//c/51+2affu3Xz00UfMmTMn3wye/v7+TJo0iWeffZanl1X9iLPws9cZ99afhCfmJVDXq/vx66iObOlRX2oPreiz9XR9tysAG17egMlL+gI5uswbmWz7YRvxy+LzzWIcHBzM2LFjeeaZZ6hVq5Z2AdqIJC2StKgdbVevVjvb/vFH3uUGg9qf5Y03oFrJs5KKiktLUycUBkhNBX9/beOpiIsXL/K///2POXPmsH79+nzXeXl5MXLkSCZPnmz50Cxt0Th78czKpf8vu+n36x48rab6P9Y4nGVDWrO/bTQmg4wnMGQaGDZsGKBOaGb0kWURnMWlY5fY/uN2zuw4k+9yDw8PBg0axPDhwxkwYAD+zvhBgyQt7p20XL6sNvl89RUcPZr/uu7d4dNPoUULTUJzJ46UtJSWTFh37rtw4QK//fYb8+bNY82aNZgKLJzkHehN0zua0mxAM/yqOdbQqNALNxj630203nIq3+VXQ/35+/bGbLi9EddDAzSKTnuStDi/q6evsm/hPo6uOYopN/970+BlILZ9LO//43369u3rVM1HkrS4W9Jy7hysWgVLlqhNPtnZ+a+vXVutcRk2TKrLq4izJC1pV9IY4D2ANWvWsHbtWg4fPlzkfsG1gmk+sDkNezXE08exOwI23XmG4V9vJOJc/mnRTXod+9tGs7d9LAdb1+JKhHt9TkjS4jrSr6VzYMkBDi07REZy4WXkDQYDbdu2pXv37nTv3p2uXbsSHFyxyR2rgkMkLdOnT+eDDz7gwoULtGrVik8//ZQOHToUu//8+fN57bXXSEhIoEGDBrz33nvceeedZT6f2yQtJhOcOgV79qjNPytWQHx80fv26gVjx6pzsXhJx8Sq5GhJiynXRPL5ZK4kXOFqwlWunrrK1YSrpF5KLfZ29evXZ9iwYQwfPpzPEj5D50QJr85ootmus3T7M56W20+jNxX+CLsUEUh8q1ocalWLM3VqcCkiCMWFm5EkaXE9JqOJxP2JnPj7BCc3niTzRmaR++n1eho2bEjLli1p2bIlLVq0oGXLlsTExKDXa/+a1zxpmTt3LiNHjmTGjBl07NiRadOmMX/+fA4fPkzNmjUL7b9x40Zuu+02pkyZwl133cVPP/3Ee++9x86dO2nevHmZzulSSUtODiQmwtmz6nbmjJqY7N8PBw6o34LFCQ2F0aPVdYQaNKiykEV+VZW0jP19LDmZOWRcz8jbkjNIu5JGysUUdUtKIf1qOkoRX9zWdAYdNRvUJLJFJHU716VG3RpOlagUp9qlVLqsPEyXFYeofjmt2P2yvQwkRlfjfEw1EmOqcTU0gGuh/lyr4U9yDX9yC8xO6mwkaXFtJqOJ83vPE3cxjrVr13LgwIFSb+Pl5UVMTAx16tQhLi6OuLg4oqKiqFmzJuHh4YSHhxMWFmZZI8leNE9aOnbsSPv27fnss88AdcbM6Ohonn76aV5++eVC+w8fPpy0tDQWL15suezWW2+ldevWzJgxo0znNN/pw6tWEWj+tigq7JIus/57c9NZ/28yWf7qrC8zGtEZjZCbm1fOyUF3cyM7Wy1nZqJLT0eXmYk+PV0tp6SgT05Gf/163t8rV9Tjl4FiMJDdujVZXbuS2a0b2bfc4lS1KlXR8ljcOcyXW19f3GUFL1cUBZPJZLnOvJlMJkwmE2lp0LVrawBWrtyMl1cORqMRk8lEbm4uubm55OTkkJOTQ25uLtnZ2WRlZeXbMjIySE9PJy0tjbS0NNLT00lJSeH69eskJyeTnJzM5auXMeZU7MvH09eTGnVqENk8kshmkYQ3CXf4pp/K0BlNxB6/TJPd52iy5yz14i/ikVv2ETQpQT6kBXqT7u+t/g3wJsPfiyxvD7J9PMn29rBsuR56cj0MGD305HrqMXoYMOl1GA16THodJoMOk16PogNFp0PR69S/5v91gE6Hgvo/N3NHBSxNvEoR+aRSQpJpyPLg9qfGALDi85kYKzgzblHnFY7jvdvfA+DKlSts2bKFzZs3s3XrVo4cOUK2eX25cvL18SE4OJjAwECCgoIICgrCz88PPz8/fH19LWUvL698m7e3N56ennh4eODh4YGnpycGgwGDwYBer7eU0zMzue3++7VJWrKzs/Hz8+OXX35h8ODBlstHjRrF9evX+e233wrdJiYmhgkTJvDcc89ZLps0aRILFy5kz549RZ7H/MFulpycTExMDGcAJ69nKdEJIB44AOwC1gMpmkYkiuYLXLhZjgAKtztXFe9AbwLCAggMD6RadDWqx1anWkw1/EP9XaImpaK8MnOod+gisUcvEXHmOlFnrhF24QZ6h+/BVzFGvNnI/wDozH0YyCrlFkJUjRtANHD9+nWb9L0p10I0ly9fxmg0Eh4enu/y8PBwDh06VORtLly4UOT+Fy5cKHJ/gClTpvDGG28Uujy6PMEKYTcZgGN0fMtKySIrJYsrJ66QsClB63CEZrKAu7QOQohiXblypeqTlqoyceJEJkyYYPn/+vXrxMbGcvr0aYfuJe3obty4QXR0NGfOnHH+vkEak8fSduSxtA15HG1HHkvbMbeUVK9e3SbHK1fSEhoaisFg4OLFi/kuv3jxIhERRS+gFhERUa79Aby9vYvsHBQcHCwvIBswt1uKypPH0nbksbQNeRxtRx5L27HVSKZyHcXLy4u2bduyatUqy2Umk4lVq1bRqVOnIm/TqVOnfPsDrFixotj9hRBCCCGKUu7moQkTJjBq1CjatWtHhw4dmDZtGmlpaYwZo/ZcHzlyJLVq1WLKlCkAPPvss3Tv3p2PPvqIAQMGMGfOHLZv385XX31l23sihBBCCJdW7qRl+PDhXLp0iddff50LFy7QunVr/vzzT0tn29OnT+erBurcuTM//fQTr776Kq+88goNGjRg4cKFZZ6jBdTmokmTJtl9PLmrk8fRduSxtB15LG1DHkfbkcfSdmz9WDrFNP5CCCGEENrP8SuEEEIIUQaStAghhBDCKUjSIoQQQginIEmLEEIIIZyCJC1CCCGEcApOl7S8/fbbdO7cGT8/P0JCQrQOx6lMnz6duLg4fHx86NixI1u3btU6JKezbt06Bg4cSFRUFDqdjoULF2odklOaMmUK7du3JzAwkJo1azJ48GAOHz6sdVhO6YsvvqBly5aW2Vs7derEH3/8oXVYTu/dd99Fp9PlW+xXlM3kyZPR6XT5tsaNG9vk2E6XtGRnZzN06FCefPJJrUNxKnPnzmXChAlMmjSJnTt30qpVK/r160dSUpLWoTmVtLQ0WrVqxfTp07UOxamtXbuWcePGsXnzZlasWEFOTg59+/YlLS1N69CcTu3atXn33XfZsWMH27dvp1evXtx9990cOHBA69Cc1rZt2/jyyy9p2bKl1qE4rWbNmpGYmGjZNmzYYJsDK05q5syZSnBwsNZhOI0OHToo48aNs/xvNBqVqKgoZcqUKRpG5dwAZcGCBVqH4RKSkpIUQFm7dq3WobiEatWqKd98843WYTillJQUpUGDBsqKFSuU7t27K88++6zWITmdSZMmKa1atbLLsZ2upkWUX3Z2Njt27KBPnz6Wy/R6PX369GHTpk0aRiaEKjk5GcBmK8G6K6PRyJw5c0hLS5P13Spo3LhxDBgwIN/npSi/o0ePEhUVRd26dXnwwQc5ffq0TY5b7mn8hfO5fPkyRqPRstSCWXh4OIcOHdIoKiFUJpOJ5557ji5dupRreQ+RZ9++fXTq1InMzEwCAgJYsGABTZs21TospzNnzhx27tzJtm3btA7FqXXs2JFZs2bRqFEjEhMTeeONN+jWrRv79+8nMDCwUsd2iJqWl19+uVCnnYKbfLkK4ZrGjRvH/v37mTNnjtahOK1GjRqxe/dutmzZwpNPPsmoUaM4ePCg1mE5lTNnzvDss8/y448/4uPjo3U4Tu2OO+5g6NChtGzZkn79+rF06VKuX7/OvHnzKn1sh6hpef755xk9enSJ+9StW7dqgnFBoaGhGAwGLl68mO/yixcvEhERoVFUQsD48eNZvHgx69ato3bt2lqH47S8vLyoX78+AG3btmXbtm385z//4csvv9Q4MuexY8cOkpKSaNOmjeUyo9HIunXr+Oyzz8jKysJgMGgYofMKCQmhYcOGHDt2rNLHcoikJSwsjLCwMK3DcFleXl60bduWVatWMXjwYECtkl+1ahXjx4/XNjjhlhRF4emnn2bBggWsWbOGOnXqaB2SSzGZTGRlZWkdhlPp3bs3+/bty3fZmDFjaNy4Mf/85z8lYamE1NRUjh8/zkMPPVTpYzlE0lIep0+f5urVq5w+fRqj0cju3bsBqF+/PgEBAdoG58AmTJjAqFGjaNeuHR06dGDatGmkpaUxZswYrUNzKqmpqfl+LZw8eZLdu3dTvXp1YmJiNIzMuYwbN46ffvqJ3377jcDAQC5cuABAcHAwvr6+GkfnXCZOnMgdd9xBTEwMKSkp/PTTT6xZs4Zly5ZpHZpTCQwMLNSnyt/fnxo1akhfq3J64YUXGDhwILGxsZw/f55JkyZhMBgYMWJE5Q9ulzFJdjRq1CgFKLStXr1a69Ac3qeffqrExMQoXl5eSocOHZTNmzdrHZLTWb16dZGvv1GjRmkdmlMp6jEElJkzZ2odmtN5+OGHldjYWMXLy0sJCwtTevfurSxfvlzrsFyCDHmumOHDhyuRkZGKl5eXUqtWLWX48OHKsWPHbHJsnaIoSuVTHyGEEEII+3KI0UNCCCGEEKWRpEUIIYQQTkGSFiGEEEI4BUlahBBCCOEUJGkRQgghhFOQpEUIIYQQTkGSFiGEEEI4BUlahBBCCOEUJGkRQgghhFOQpEUIIYQQTkGSFiGEEEI4hf8HuxiK28OynPsAAAAASUVORK5CYII=", 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", 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" ] @@ -117,26 +191,26 @@ ], "source": [ "# Generate 1000 random numbers from the first normal distribution\n", - "mu1, sigma1 = 3, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", "data = np.random.normal(mu1, sigma1, 1000)\n", "\n", "# Create a histogram of the data\n", "plt.hist(data, bins=30, density=True, alpha=0.6, color='g')\n", "\n", "# Add a graph of the first normal distribution used to generate the data\n", - "xmin, xmax = -1, 5\n", + "xmin, xmax = 175, 182\n", "x = np.linspace(xmin, xmax, 100)\n", "p1 = stats.norm.pdf(x, mu1, sigma1)\n", "plt.plot(x, p1, 'k', linewidth=2)\n", "\n", "# Add a graph of the second normal distribution with mu = 1 and sigma = 0.4\n", - "mu2, sigma2 = 1, 0.4\n", + "mu2, sigma2 = 178, 0.5\n", "p2 = stats.norm.pdf(x, mu2, sigma2)\n", "plt.plot(x, p2, 'r', linewidth=2)\n", "\n", "# Add vertical lines at x = 1 and x = 3 with labels\n", - "plt.axvline(x=1, color='b', linestyle='--', label='mu theoretical distribution')\n", - "plt.axvline(x=3, color='m', linestyle='--', label='mu in sample')\n", + "plt.axvline(x=178, color='b', linestyle='--', label='mu theoretical distribution')\n", + "plt.axvline(x=180, color='m', linestyle='--', label='mu in sample')\n", "\n", "title = \"Fit results: mu1 = %.2f, std1 = %.2f; mu2 = %.2f, std2 = %.2f\" % (mu1, sigma1, mu2, sigma2)\n", "plt.title(title)\n", @@ -149,13 +223,13 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 21, "id": "8b4766b1-6fb5-487b-b552-790f43f83707", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -166,26 +240,26 @@ ], "source": [ "# Generate 1000 random numbers from the first normal distribution\n", - "mu1, sigma1 = 3, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", "data = np.random.normal(mu1, sigma1, 1000)\n", "\n", "# Create a histogram of the data\n", "plt.hist(data, bins=30, density=True, alpha=0.6, color='g')\n", "\n", "# Add a graph of the first normal distribution used to generate the data\n", - "xmin, xmax = -1, 5\n", + "xmin, xmax = 175, 182\n", "x = np.linspace(xmin, xmax, 100)\n", "p1 = stats.norm.pdf(x, mu1, sigma1)\n", "plt.plot(x, p1, 'k', linewidth=2)\n", "\n", "# Add a graph of the second normal distribution with mu = 1 and sigma = 0.4\n", - "mu2, sigma2 = 1, 0.4\n", + "mu2, sigma2 = 178, 0.5\n", "p2 = stats.norm.pdf(x, mu2, sigma2)\n", "plt.plot(x, p2, 'r', linewidth=2)\n", "\n", "# Add vertical lines at x = 1 and x = 3 with labels\n", - "plt.axvline(x=1, color='b', linestyle='--', label='mu theoretical distribution')\n", - "plt.axvline(x=3, color='m', linestyle='--', label='mu in sample')\n", + "plt.axvline(x=178, color='b', linestyle='--', label='mu theoretical distribution')\n", + "plt.axvline(x=180, color='m', linestyle='--', label='mu in sample')\n", "\n", "# Calculate the 95% quantile for the second normal distribution\n", "quantile_95 = stats.norm.ppf(0.95, mu2, sigma2)\n", @@ -206,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 22, "id": "665a50fe-8404-4db3-b412-aec36d81016e", "metadata": {}, "outputs": [ @@ -214,15 +288,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "T-statistic: 98.77295966495895, P-value: 0.0\n", + "T-statistic: 89.44271909999159, P-value: 0.0\n", "The means of the two theoretical distributions are statistically different (reject H0).\n" ] } ], "source": [ "# Define the parameters for the two normal distributions\n", - "mu1, sigma1 = 3, 0.5 # mean and standard deviation for the first normal distribution\n", - "mu2, sigma2 = 1, 0.4 # mean and standard deviation for the second normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu2, sigma2 = 178, 0.5 # mean and standard deviation for the second normal distribution\n", "\n", "# Perform a t-test to compare the means of the two theoretical distributions\n", "# Since we don't have samples, we use the means and standard deviations directly\n", @@ -254,13 +328,13 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "id": "aa9ea3d5-3559-4fd7-a2c7-f041486c090e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -271,20 +345,20 @@ ], "source": [ "# Generate 1000 random numbers from the first normal distribution\n", - "mu1, sigma1 = 1.8, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", "data = np.random.normal(mu1, sigma1, 1000)\n", "\n", "# Create a histogram of the data\n", "plt.hist(data, bins=30, density=True, alpha=0.6, color='g')\n", "\n", "# Add a graph of the first normal distribution used to generate the data\n", - "xmin, xmax = -1, 5\n", + "xmin, xmax = 175, 182\n", "x = np.linspace(xmin, xmax, 100)\n", "p1 = stats.norm.pdf(x, mu1, sigma1)\n", "plt.plot(x, p1, 'k', linewidth=2)\n", "\n", "# Add a graph of the second normal distribution with mu = 1 and sigma = 0.4\n", - "mu2, sigma2 = 1, 0.4\n", + "mu2, sigma2 = 179, 0.5\n", "p2 = stats.norm.pdf(x, mu2, sigma2)\n", "plt.plot(x, p2, 'r', linewidth=2)\n", "\n", @@ -311,7 +385,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 24, "id": "0db5895c-28ab-4617-ad67-7ad8311d0341", "metadata": {}, "outputs": [ @@ -319,15 +393,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "T-statistic: 39.50918386598358, P-value: 8.942863909656787e-253\n", + "T-statistic: 44.721359549995796, P-value: 2.8557430532137358e-303\n", "The means of the two theoretical distributions are statistically different (reject H0).\n" ] } ], "source": [ "# Define the parameters for the two normal distributions\n", - "mu1, sigma1 = 1.8, 0.5 # mean and standard deviation for the first normal distribution\n", - "mu2, sigma2 = 1, 0.4 # mean and standard deviation for the second normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu2, sigma2 = 179, 0.5 # mean and standard deviation for the second normal distribution\n", "\n", "# Perform a t-test to compare the means of the two theoretical distributions\n", "# Since we don't have samples, we use the means and standard deviations directly\n", @@ -351,13 +425,13 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 25, "id": "ab987426-9a37-4c22-b561-d2870b856071", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -368,20 +442,20 @@ ], "source": [ "# Generate 1000 random numbers from the first normal distribution\n", - "mu1, sigma1 = 1.03, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", "data = np.random.normal(mu1, sigma1, 1000)\n", "\n", "# Create a histogram of the data\n", "plt.hist(data, bins=30, density=True, alpha=0.6, color='g')\n", "\n", "# Add a graph of the first normal distribution used to generate the data\n", - "xmin, xmax = -1, 5\n", + "xmin, xmax = 175, 182\n", "x = np.linspace(xmin, xmax, 100)\n", "p1 = stats.norm.pdf(x, mu1, sigma1)\n", "plt.plot(x, p1, 'k', linewidth=2)\n", "\n", "# Add a graph of the second normal distribution with mu = 1 and sigma = 0.4\n", - "mu2, sigma2 = 1, 0.4\n", + "mu2, sigma2 = 179.8, 0.5\n", "p2 = stats.norm.pdf(x, mu2, sigma2)\n", "plt.plot(x, p2, 'r', linewidth=2)\n", "\n", @@ -408,7 +482,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 29, "id": "9c019dea-d687-4dc1-b48f-fe629e54172e", "metadata": {}, "outputs": [ @@ -416,15 +490,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "T-statistic: 1.4815943949743855, P-value: 0.13860593668122914\n", + "T-statistic: 8.944271909998651, P-value: 8.328998310440721e-19\n", "The means of the two theoretical distributions are not statistically different (fail to reject H0).\n" ] } ], "source": [ "# Define the parameters for the two normal distributions\n", - "mu1, sigma1 = 1.03, 0.5 # mean and standard deviation for the first normal distribution\n", - "mu2, sigma2 = 1, 0.4 # mean and standard deviation for the second normal distribution\n", + "mu1, sigma1 = 180, 0.5 # mean and standard deviation for the first normal distribution\n", + "mu2, sigma2 = 179.8, 0.5 # mean and standard deviation for the second normal distribution\n", "\n", "# Perform a t-test to compare the means of the two theoretical distributions\n", "# Since we don't have samples, we use the means and standard deviations directly\n", @@ -439,7 +513,7 @@ "print(f\"T-statistic: {t_statistic}, P-value: {p_value}\")\n", "\n", "# Interpret the result\n", - "alpha = 0.05\n", + "alpha = 5e-20\n", "if p_value < alpha:\n", " print(\"The means of the two theoretical distributions are statistically different (reject H0).\")\n", "else:\n",