{ "cells": [ { "cell_type": "code", "execution_count": 36, "id": "d96624c0", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from numpy import cos\n", "from numpy import sin\n", "import os\n", "import pandas as pd\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "code", "execution_count": 37, "id": "d40d3acc", "metadata": {}, "outputs": [], "source": [ "Temperature_deg = 22 #Degrees C \n", "Pressure= 101325 #Pa\n", "\n", "Temperature_kelvin = Temperature_deg + 273 #K\n", "rho = Pressure / (Temperature_kelvin * 287) #Kg/m^3 (You need to enter the formula to determine density from pressure and temperature with gas constant)\n", "rho\n", "\n", "L=265\n", "X=L/2" ] }, { "cell_type": "code", "execution_count": 38, "id": "b319e9ba", "metadata": {}, "outputs": [], "source": [ "def turbulent_bl(y, delta, n):\n", " return (y/delta)**(1/n)\n", " \n", "def laminar_bl(y, delta):\n", " frac = (y/delta)\n", " return frac * (2-frac)\n", "\n", "def find_re(u, c, nu):\n", " return u*c/nu\n", "\n", "def natplotlib(x, y, label, black=False):\n", " \"\"\"\n", " takes in 2 arrays consisting of [data, axis label]. There is also a label for the line\n", " \"\"\"\n", " \n", " plt.axhline(linewidth=1.5, color=\"grey\") \n", " plt.axvline(linewidth=1.5, color=\"grey\")\n", " if black:\n", " plt.plot(x[0], y[0], label=label, marker=\"x\", linestyle=\"--\", color=\"black\")\n", " else:\n", " plt.plot(x[0], y[0], label=label, marker=\"x\", linestyle=\"--\")\n", " plt.grid()\n", " plt.legend()\n", " plt.xlabel(x[1])\n", " plt.ylabel(y[1])" ] }, { "cell_type": "code", "execution_count": 57, "id": "3ee4be5f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "measured boundary layer is 7.685080666151702mm\n", "empirical estimations say its about 7.631632912379854mm\n", "hermann schlichtig says 4.344771583090738mm\n" ] }, { "data": { "image/png": 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s2WI/joyMBJw//C5atIiPPvrI6fmrVq0q8Sf5hecCAwPt5wrnLcyYMcOh92H//v0888wzZf/GCvTp04fzzz+fWbNm8fHHH5d4zcaNGzl69Kj9+Oabb8Zms/HYY4857OuwZ88epk2bdlavXzgh+t///rfDPIOkpKQS55g0btyYwMBA1qxZ4zBULDc3l/vvv5/jx487PSc0NBTDMNi3b1+JNURGRpKUlMSGDRsczk+fPp1Fixad1fcj4qly83OZFzfPfnxFmvX3b29OUXjo2DTY6XnVXW0YtvQgkADsAi4ASt7N6Mz+CzQGJpum+VbhScMwXit4jeeAOytWqoiIZ3jyySdZv3497733HvPnz2fYsGE0b96co0ePsnPnTv744w+ee+45OnfuDMDdd9/NjBkzuPLKKxk3bhzNmzdn06ZNLFy4kKuuuoqZM2c63P+rr77inXfe4YILLqBt27aEhoYSFxfH/Pnz8ff354EHHrBf279/fwYPHsxvv/1Gv379GDZsGEeOHGH+/PmMGDGixB6JM/nqq68YNmwYkyZNYtq0afTv35/69euTkJDAhg0b2LRpE8uXL7evcvTwww8zZ84cvv/+e3r16sWIESNISUlh5syZDB48mHnz5p3hFYtMmDCBmTNnMm/ePLp27cqYMWPIzc3lu+++o2/fvk69G15eXkyePJkXX3yRbt26MWbMGHJycli8eDFJSUkMHTrUaaO/unXr0r9/f5YtW8Z1111H+/bt8fb2ZvTo0XTv3p0HHniARYsWcd5553HVVVcREhLC6tWr+f333xk/fjzffffdWf+einiaxfsXcyL7BADhhh8DMq2wfzzfCgwN6/rTsK6/2+orL4/veTBNc7FpmjtN09pMoTwMw2gDRAPxwDunND8NpAM3GIbhuvUBRURqMF9fX+bMmcNnn31Ghw4d+OGHH3j11VdZuHAhNpuNZ599luuuu85+fffu3Vm8eDEDBw5kwYIFvPvuu6SmpjJr1izuvNP55zITJkzg1ltv5dixY3zzzTe88cYbrF27lmuuuYbVq1czYMAAh+vnzp3LrbfeSkJCAm+99RZ///03L7/8Mi+99FK5vr8WLVqwZs0annvuOby9vfnyyy+ZNm0af/75J61ateL999+nW7du9uv9/f35+eefefDBBzl27BhvvvkmS5Ys4YknnuD1118/q9c2DINvv/2WqVOn2pfFnTdvHjfffDPffPNNic959tlnefXVVwkICOD9999n1qxZ9OnTh1WrVjls7lfc559/zqhRo1i4cCFTp07lySeftA9xGjlyJPPnz6dz587MnDmT6dOn4+/vz+LFixk1qmbMExKpbLN2Fc35utwMpHAduxMFE6Y71cBeBwCjAp+paxzDMIZg9Tx8aZrm9WfxvFuBD4EPTNO8o4T2RVjh4kLTNH8pZ21revXq1WvNmjXleXqFFF8N5emnn67y15fKVzgU5HTLONZWhctpdurUyc2VVEzhhOlTl1IVz+GJ77Gn/P1zJf177RkOnTzEiO9HYGJiYLAwqy7NDm0G4LLs/7DRbMPtg9vw+CXu+bPfu3dv1q5du9Y0zd5n+1yP73lwkQ4FX3eU0r6z4Gv7KqhFRERERKqxObvmYGL9gH5AswE0S0+xt53AmvNQU3seasOcB1coXNw8pZT2wvP1z3QjwzBK61romJaWdtarbriau19fKkfhTyz1/joLDAwkMDCwWi11Wh6Fq+LU9O9DSueJ73F+fj4ZGRn6t6kY/Xtd89lMGzEHYuzHHXM6kn9yVtGwJdMKDScTdrAkZZcbKqzYvyPqeXCNwoXAa88YMBERERFxsj1rOyfyrYnSQV5BdPdvj7ctB4Bs04d06uBtmDQNct5HpiZQz0PZFPYslLy9KtQ75bpSlTa2zDCMNcHBwb3cMcax+JrcGmPpmTSGtnSFY65r+jhyTxwPL4488T329vYmODjYvpyu6N9rTzB/yXz74ys6XsHw9j2gYFuWZOoCBs3qenHhsKHuKZCK/Tuinoey2V7wtbQ5De0KvpY2J0JEREREaoHRUaO5oMUFeBleXNH2CshItLclFQxZahFcM3sdQD0PZVW4AHa0YRhepmnad/gxDCMYGARkAivcUZyIiIiIVA8XtLyAC1peQGJmImEBYRD3q72tcL5Dq2Dv0p5e7annoRjDMHwNw+hYsJu0nWmacUAsEAncc8rTpgJBwGemaaZXSaEiIiIiUq2FBYRZDzKS7OeSCvZ4aKmeh+rLMIyxwNiCw/CCrwMMw/ik4PFx0zQfKXjcHNgK7MUKCsXdDfwJTDMMY3jBdf2BoVjDlf7t+upFREREpEYrFh6STWuZ1pY1uOfB48MD0BO46ZRzbQp+gRUUHuEMTNOMMwyjD/AMMBK4BDgETAOmmqaZdLrni4iIiIjn2pq4lbahbfH18nVsKD7ngWDq+UGIv3oeqi3TNKcAU8p4bTxFy66W1L4fuNkVdYmIiIiIZ0jPTeemhTcR4BPAmKgx3HvOvfh5+1mNmUU/Xz5hBtMyuGbPGqjZ1YuIiIiIuNnCPQvJzMskKSuJZQeWOfY+FOt5UHgQEREREanlZu2aZX98RbsrMIxiA1mKhwcUHkREREREaq2dJ3ay4dgGAHy8fLi0zaWOFxRfbUk9DyIi4ini4+MxDIOJEye6uxS7iRMnYhgG8fHx7i5FRKREs3YW9ToMbzWc0DqhDu22Yj0PaUYwTevW7I/fNbt6ERERERE3ycnP4YfdP9iPr2h3hdM1ZnpReAhtFI6vV81daQkUHkREpBp74YUX2Lp1K82bN3d3KSIiTn7d/yvJ2ckANAtqxrlNz3W8ICcD7/wsALJNHyLCG1dxha7n8Uu1iohIzdW0aVOaNm3q7jJEREo0a0fRkKWx7cbiZZzyc/liy7QmU5dOzULATK2q8iqFeh5ERKRUO3bs4J///Cd9+vShUaNG+Pv7ExERwe23305CQoLT9UuWLMEwDKZMmcLq1asZOXIkISEhhIaGMm7cOPbv3w/A7t27ueaaa2jUqBEBAQEMHTqU9evXO92vpDkPxedmxMfHc80119CwYUPq1KlDnz59+OGHH5zuk5KSwiuvvMKwYcNo0aIFfn5+NGrUiNGjR7NixYoSv3fDMBgyZAiHDx/m1ltvpXnz5nh7e/PJJ5+U7zdTRDzKgZMHWH5oOQAGBpe3vdz5ouIbxJnBdGxar6rKqzQKDyIiUqpZs2bx3nvv0bJlSyZMmMB9991H586d+eijj+jbty8HDhwo8Xl//fUX559/PgC33XYb/fr1Y9asWQwfPpxt27bRr18/EhISuPHGGxk1ahRLly7loosu4uTJk2Wube/evfTr14/4+HhuuOEGrr76ajZt2sSYMWNYvHixw7Vbt27l3//+N15eXowaNYqHHnqIiy66iF9//ZXzzz+fhQsXlvgaSUlJnHvuuaxYsYIrrriCe++9lyZNmpS5RhHxXHN2zbE/Hth8IOFB4U7X2NIdN4jr1DS4KkqrVBq2JCIipbrhhht48MEH8ff3dzgfGxvLxRdfzH/+8x/effddp+ctWLCAL774guuuu85+btKkSXz88ccMHDiQhx9+mH//+9/2tmeffZannnqK6dOnc//995eptiVLljBlyhSefvpp+7lrr72WkSNH8sorrzB06FD7+U6dOnHw4EEaNmzocI+EhAT69evHgw8+yMiRI51eY+PGjdxwww18/PHH+Pjov0wRKXJ9p+up71+f73d+z7h240q8JvHYQRoVPM7wrkejuv4lXleT6F9CEZHTmRLi7grKJBhIe9h5GFFFlTZROTo6mi5durBo0aIS28877zyH4ABw00038fHHHxMSEsI///lPh7Ybb7yRp556inXr1pW5toiICJ544gmHcyNGjKBVq1asWrXK4XxISMnvY4sWLRg/fjxvvfUW+/bto1WrVg7tfn5+/N///Z+Cg4g4CfEP4bpO13Ftx2sxMUu85tiRQ/bwQFCY4+ZxNZSGLYmISKlM0+SLL77gwgsvpFGjRvj4+GAYBoZhsHHjxlKHLfXp08fpXLNmzQDo2bMn3t7eDm2FIaWkeRSlKek+AC1btuTEiRNO5//44w+uuuoqWrZsib+/v/37eOuttwBK/F4iIyNp3Ljmr44iIpXHMAznidIFUhKP2B/712tU4jU1jX6UIiIipXrooYd44403aNq0KSNGjKB58+YEBAQA8Mknn7B3794Sn1fST/oLf3p/urbc3Nwy11a/fv0Sz/v4+GCz2RzOzZ49m/Hjx1OnTh0uuugioqKiCAoKwsvLiyVLlrB06VKys7Od7hUe7jyGWUSkrLJSjtofBzfwjPlSCg8iIqczJcXdFZRJWlqay+959OhRpk2bRteuXfnzzz8JDnac6BcTE+Py16wsTz75JH5+fqxevZpOnTo5tN1xxx0sXbq0xOd5whADEXGtPw/+SYhfCJ3DOp/x34j8YhvENWzsGctOKzyIiEiJdu/ejc1mIzo62ik4JCQksHv3bjdVdvZ27dpFly5dnIKDzWbj999/d1NVIlLTmKbJCytfID41ng6hHXj5gpdpE9KmxGtPZufhl5MMBaMrG4c3q7pCK5HmPIiISIkiIyMB+P3338nPz7efP3nyJLfddht5eXluquzsRUZGsnPnTg4ePGg/Z5omU6dOZcuWLW6sTERqknXH1hGfGg9AwskEwgNLH9q4/XAqDYyiXmG/ug1LvbYmUc+DiIiUKDw8nGuuuYavv/6anj17Eh0dTUpKCj/99BN16tShZ8+eZ7U6kjs9+OCD3HnnnZxzzjmMGzcOX19f/vjjD7Zs2cJll13G/Pnz3V2iiNQA3+/43v744tYXE+gbWOq1Ww+lMbRYeCAwrDJLqzLqeRARkVJNnz6dxx9/nMzMTN555x0WLVrEpZdeyp9//lnq8qfV0R133MGMGTNo2rQpn376KV9++SUtW7Zk5cqV9OrVy93liUgNcDLnJLF7Y+3Hpe3tUGjb4VRCKbbxpYeEB/U8iIgIYA3tMU3HtcoDAwN57rnneO6555yuX7JkidO5IUOGON3jdPcvrqS2Tz75hE8++eSs7lNSXQATJ05k4sSJTue7devGlClTylSPiHi+mG0xREdEExbg+GH/f/H/IzMvE4B2oe0IDwwnZlsMEzpOKPE+cQePEWhYq7jZvHzx8qtbuYVXEfU8iIiIiIhgBYfnVz7PpEWTSMxMdGibtWOW/fHIyJHcGnsrz698nphtzivP2Wwmx44csh+bAQ3AQ1ZvU3gQEREREQGiI6KJCokiLiXOIUBsT9rOpsRNAPgavsyPm09cShxRIVFER0Q73SfhRKa10lIBryDPGLIECg8iIiIiIgCEBYQxfcR0pwAxe9ds+zX+Pv7Ep8YTFRLF9BHTnYY3AWw9nEposcnShofMdwCFBxERERERu1MDxC2LbmHurrn29pO5J08bHAC2HkqlAcVXWmpQ2WVXGYUHEREREZFiigeI3Sm7OZlbtGpSm5A2pw0OANsOpVHf8LyVlkDhQURERETESWGAaFCnqNcg0CeQj0d8fNrgANYyrY49DwoPIiIiIiK1Sh2fOme8Ji0rl71J6ZzvvbHoZN0mlVhV1VJ4EBERERE5RWJmIpMWTSIpK4kGdRrQoE4DkrKSSlzGtbiNB1I419hCH68d1gkvX+hwcRVVXfkUHkREREREiikMDoXLsc4aPYtZo2eVuIzrqTYkpHC/T9GeEJxzPYS0qKLKK5/Cg4iIiIhIgVODQ+Hk6NKWcT1V5o6lnOu1FQCb4QPnPVjV30KlUngQEREREaHk4DBq9ij6fdmPfl/2o75//TMGiPMPzbA/Tm4/HkIjqvrbqFQKDyIiIiIiQOzeWKceh8y8TPsvcN4HInZvrP35Kdt/o49tAwB5phfBF/7DLd9HZfJxdwEiIiIiItXBhI4TAIiOiD7tcqyFASJ2b6z9OQB5i1+2P/6tzjCGNYqqvGLdRD0PIiLiFvHx8RiGwcSJEyv1dSZOnIhhGMTHx1fq64iIZ5jQccIZ93EAK0AUDw4krCbs8DIA8k2DTW0mVVaJbqXwICJSSWK2xZx2Ob9CiZmJxGyLqYKKSldVH+RrG8MwGDJkiLvLcImlS5dy6aWXEhYWhr+/P1FRUTz88MMkJye7uzSR6mFpUa/DPNtAmrft7sZiKo/Cg4hIJYjZFsPzK58/43rghZPznl/5vNsDhEhpPvzwQ4YOHUpsbCwXXXQRkydPJjIyktdee43+/ftz/Phxd5co4l4H/4adiwCwmQZv542le4sQNxdVORQeREQqQXRE9BmX8zt1VY/oiGg3VCpyeocPH2by5Ml4e3vz+++/8/XXX/PKK6/wyy+/8PLLL7Njxw4eeeQRd5cp4l5LX7E//NHWn8O+rWjTqK4bC6o8Cg8iIpXgTOuBl7aOuDtMmTKF1q1bA/Dpp59iGIb91yeffALAJ5984nB8qpKG50yZMgXDMFiyZAlfffUV/fv3p27dukRGRjo9f9u2bYwdO5YGDRoQFBTEeeedR2xsrNN1xe95qvIMvVq5ciXjx48nPDwcPz8/WrZsyR133MHBgwedrh0yZAiGYZCXl8fzzz9Pu3bt8Pf3p2XLljz22GPk5OTYry38/QJruE/x39MpU6aUub5Tffnll/b3YfHixQwZMoTg4GDq1avHqFGj2Lp1a7nvXZoFCxaQlZXF2LFj6devn0Pbww8/TKNGjfjqq69ISkpy+WuL1AiHNsD2H+2Hb+VdTtfmIXh7GW4sqvJotSURkUpSGCAKQ8KkRZOYPmI6QLUJDmB9KE5OTubNN9+kR48ejB071t7Ws2fPCt//1Vdf5aeffuKyyy5j6NChpKSkOLTv2bOHAQMG0LVrV+644w4OHTrEzJkzufjii/nqq6+4+uqrK1xDSWbMmMFtt92Gv78/o0ePpmXLluzcuZOPPvqI+fPns2LFClq1auX0vGuvvZZly5Zx8cUXU69ePRYsWMDLL7/M0aNHmTHDWt+9Z8+ePP3000ydOpWIiAiHQOOKORA//PADc+fO5eKLL+bOO+9ky5YtLFiwgL/++ostW7bQsGHDCr9GocOHDwPQpk0bpzYvLy8iIyP566+/+O233xz+7IjUGr8V9TosyO/HDrMlt7es7756KpnCg4hIJTo1QFwx7woAkrKSqkVwAOvDbGRkJG+++SY9e/as0E/GS/Lrr7+yfPlyzjnnnBLbf/vtNx555BFeeaXoP+B7772XAQMGcOedd9o/pLvSjh07uOOOO4iMjGTp0qU0b97cod6LLrqI+++/n9mzZzs9Ny4ujs2bN9OgQQMAnnvuOXr06MFnn33GCy+8QHh4OD179qRnz55MnTqVyMhIl/+ezpkzh0WLFjF8+HD7uX/961+8+OKLfPzxx/zjH0Vry69bt445c+ac1f0feOAB6tevD2APInv27HG6zmaz2Vex2rZt29l9EyKe4MgW2DrPfvh23lgAujX3zPkOoPAgInJG/133X95d/26Zrh3XbhxTBk5xOPfW328RlxIHWKGhUFxKHEO+GeJw7V097uLunnc7nLv3l3tZmrC01Ne8q8dd3BB1Q5nqc4fbb7+91OAAEBISwlNPPeVwrk+fPlx33XV8+umnzJ49m5tuusmlNb377rvk5uby5ptvOgQHgGHDhjF69Gjmz59PWloawcHBDu0vvfSSPTgABAUFcd111/HMM8+wevVqLr30UpfWWpJrrrnGITiA9fv84osvsmrVKofz69atY+rUqWd1/4kTJ9rDw4gRI/Dx8WHOnDmsXr2aPn362K974403OHbsGAAnTpwox3ciUsMV63X4lb5sMSMB6NGivnvqqQIKDyIiUqlOHSd/ql69ejl9QAerR+TTTz/l77//dnl4WL58OWDNR/jrr7+c2o8ePUp+fj47duygd+/eDm3FPzwXatmyJVB1H6DPpoaJEydWaAneiIgInnnmGR5//HEGDRrEFVdcQYsWLVi3bh0///wz3bt3Z8OGDXh7e5f7NUSqs3lji3oWvIxi04WPbYfNRb2Tr2WPASA00JeWDQKqrL6qpvAgIlLJsvKy3F2CW4WHh5+2vUmTJqd93qlzJFwhMdGavF58qFRJTp486XSu8Cfyxfn4WP+d5ufnV7y4MqjqGv71r3/RuXNn3njjDRYsWEBOTg5dunQhJiaG9evXs2HDBho3buzy1xWpDiLqRZTc8Nv/ASYAh5sMZtNea15Qtxb17QsmeCKFBxGRM7i7591OQ4nKKjEzkW1J1ljwwjkOcHYTpt8e/vYZXyctLa1c9ZWVl5f107a8vDyntjNtEnam/0SPHDlS4vnCibohIUVjhytSR3GF90xJSXH5fIrqpqJzHgqNGTOGMWPGOF377rvWkL6+ffuWt0SRmuf4Ltj0nf3wf6E3wF7rcXcPnu8ACg8iIpXmdMuxlrQKkzsnThcOOSntp9ahoaEA7N+/36lt9erVFXrttWvXlji3oHA51uLzJVxVx7nnnsuaNWtYtmwZo0aNKkfVZePl5VVlvRGlqeich9PZtm0bv//+O61bt2bAgAHlrFCkBlr2Kpg263HUMP6X3BKw5rR56uZwhbTPg4hIJTjTPg5n2geiqoWGhmIYBvv27SuxvU+fPnh5efHVV1+RkZFhP5+UlOSwsk95pKSk8MwzzzicW716NV9++SUhISFcfvnl9vOF8ydmzJjh0Puwf/9+p3uczr333ouvry8PPvggO3bscGrPyclh2bJlZ/utOAkLCysx6BSaOHHiaffPcIWJEydimuZZ/Tp1L47U1FSn+x49epRrr70Wm83GSy+9ZO8VEvE0J3NO2n+ZpglJu2HDTHt7/vn/YNPBouGVPTx4mVZQz4OISKWI3Rt7xmFJpy7jGrs3lgkdJ7ihWqhbty79+/dn2bJlXHfddbRv3x5vb29Gjx5N9+7dadq0Kddddx2ff/45PXv2ZNSoUaSmprJgwQIGDx7M33//Xe7XHjx4MB999BErV65k0KBB9n0ebDYb77//vsOwov79+zN48GB+++03+vXrx7Bhwzhy5Ajz589nxIgRp/2gXlzHjh35+OOPueWWW+jSpQsjR46kffv25Obmsm/fPpYtW0ajRo0qvPzo8OHD+frrr7nsssvo3bs3Pj4+DB48mMGDBwPWUqdQNF+hunrmmWdYuHAhAwYMoFGjRiQkJDBv3jx78LvyyivdXaJIpRn09SBsBb0M625Yh/ey18As6FFsPZhddbqSkfMbAE3q+dOkXh13lVolqve/ViIiNVRhCIiOiD7tcKTCAOHO4FDo888/58EHH2ThwoXExMRgmiYtWrSge/fuAHz44Yc0adKEmJgY3nnnHVq1asXkyZN59NFH+eabb8r9uq1bt+a9997jn//8J++99x7Z2dn06tWLp556ihEjRjhdP3fuXB599FHmzp3LW2+9Rbt27Xj55ZeJjo4+qzquv/56evTowauvvsrixYuJjY0lKCiIZs2aMX78eJdsTvfmm29iGAa//PILCxYswGaz8fTTT9vDw8aNGwkODq7UoVOuMHToUNauXcvcuXNJTk4mNDSUYcOG8eCDD3L++ee7uzyRqpO8F9bHFB1f8BjrE5Lth909eInWQoZpmu6uQQDDMNb06tWr15o1a6r8tYuPhX366aer/PWl8hWOHXfFzraeZuvWrQB06tTJzZVUTOGE6ZKWPJXqKTk5mbCwMB5++GFefvnlM17vie+xp/z9cyX9e1399PisR1HPQ+gwvNd+YjVEDIKbF/DknE18vsKaLf3wRe25b3i7096vOrzHvXv3Zu3atWtN0+x95qsdaYCiiIiIGyxbtgxfX18eeughd5ciImW17suixxdY8702FO958PD5DqBhSyIiIm5x2WWXkZVVu/cAEalxbLnW15b9ofUF5OTZ2HqoaKlsT1+mFdTzICIiIiJydi74BxgG2w6nkpNvDWlq1SCQ0CA/NxdW+RQeRERERETKqnlviBoOwIaEoiVau3n4/g6FFB5EREREREpz6tpCFzwGhgE4znfoofAgIiIiIlLb2YoeNu0O7aLth8V7HmrDMq2g8CAiIiJuoKXipUY4eQyK/1kd/A97r0NGTh47jliTpQ0DutaCydKg8CAitZxR8J9A4U6/IlI1CsND4d9BkWpp+duOx+0vtj/cfDAVW0GuiGpUl7r+tWMR09rxXYqIlMLf35+srCzS09M9avMtkeouPT0dsP4OilRL6Ymw6kOW52VYx1d8gJeXt73ZcchS7eh1AIUHEanlgoODycrK4vDhwwAEBQVhGIZ+GipSCUzTxDRN0tPT7X/nFNql2lrxX8hNJxCgUSfoMt4+ZAlOnSxdv6qrcxuFBxGp1Ro0aEB6ejoZGRkkJCS4u5xyy8/PB8Db2/sMV0pN5YnvcWBgIA0aNHB3GSLOMk/AyveLji94FLwcR/ur50FEpBby8vKiZcuWJCUlkZaWRnZ2do2cyJmRYXWr66e4nstT3mPDMPD39yc4OJgGDRrg5aXpl1INrXgPcgp2jm7YHjqPdWhOycxlz3Fr6J2Pl0GnpvWquED3UXgQkVrPy8uLhg0b0rBhQ3eXUm5LliwBoF+/fu4tRCqN3mORKpKVAivetR/u6XczpO0DILJeJIZhsOlAUa9Dh/Bg6vh6To/gmdSKuG8YRgvDMD42DOOgYRjZhmHEG4bxhmEYoWd5n1GGYcQahpFgGEamYRi7DcP41jCMAZVVu4iIiIhUoZUfQHZBOGgQxdht7zN6zmhGzxmNzbRW5ltfbL5DbdnfoZDHhwfDMKKANcDNwCrgdWA3cD+w3DCMsDLe5yXgB6AXsBB4E1gLjAH+MAzjetdXLyIiIiJVJjvNcXnWwY+UeNmG/UU9D7VlZ+lCHh8egP8CjYHJpmmONU3zn6ZpDsMKER2A5850A8MwwoFHgCNAZ9M0by24z3hgBGAAz1TadyAiIiIilW/Vh5CVbD0OjYRuV5Z42Qb1PHgmwzDaANFAPPDOKc1PA+nADYZhBJ3hVhFYv1crTdM8WrzBNM3FQBrQyBU1i4iIiIgbZJ907HU4/2Hw9nW67FhaNgdTsgDw9/GiXZO6VVVhteDR4QEYVvA11jRNh+1jTdNMA/4AAoFzz3CfnUAO0M8wDIcZlYZhDAaCgZ9dUrGIiIiIVL3VH0NGovU4pBV0v6bEyzYeSLY/7tKsHr7env5x2pGnf7cdCr7uKKV9Z8HX9qe7iWmaScBjQBNgi2EYHxiG8YJhGN8AscBPwB0uqFdEREREqlpOBvw5rej4/AfBx6/ES9fvL76/Q/1KLqz68fSlWgtnsKSU0l54vv6ZbmSa5huGYcQDHwO3FWvaBXxy6nCm0hiGsaaUpo5paWn2pfjcxd2vL5UjLc1aq1rvr+fSe+z59B7XDnqf3aPF/nm0TT8GQJZ/GCtTW2IWvAfF9/5ZunQpizfk2I/9Th5iyZJjZ/Va1eE9LqyhPDy95+FMCvcYP+OOUIZh/AP4DvgEiAKCgN5YKzd9aRjGy5VUo4iIiIhUEq/8bFrun2U/fr9FH1LNrBKvNU2TPSnWbu+G90kS/f6okhqrE0/veSjsWShtDa16p1xXIsMwhgAvAbNN03yoWNNawzAuxxoW9bBhGO+Zprn7dPcyTbN3Ka+xJjg4uNeQIUNO9/RKsXTpUvtjd7y+VL7Cn27o/fVceo89n97j2kHvsxus/AByTgAQ07AZH9m2EpU2nekjphMWEIbxmWHvfWh3Tn/SYpdieJ+kbuSHxKYfoU/X9kzoOKHML1cd3uOK7FTv6T0P2wu+ljanoV3B19LmRBS6tODr4lMbTNPMwNo/wgs452wLFBERERE3ycuG31+3H0b3vJWokCjiUuKYtGgSiZmJDpdv3J+M4X2SgIgPwO8IUSFRREdEV3XVbuXp4aHww360YRgO36thGMHAICATWHGG+/gXfC1tOdbC8zmltIuIiIhIdfP3F5B20Hoc1JiwfncxfcR0hwAR4B1AkG8QQb5BrNy3j4CID/D2P0qIdwt770Rt4tHhwTTNOKzVkCKBe05pnoo1b+Ez0zTTAQzD8DUMo2PBrtTFLSv4erthGM2LNxiGcTFWCMkC/nTtdyAiIiIilSIvx6HXgUGTwS+QsIAwhwARHhTOj5f/yI+X/8iCY1Pw9j9KfnZjJnd+tdYFB/D8OQ8Ad2N9qJ9mGMZwYCvQHxiKNVzp38WubV7QvhcrcBT6DmsfhwuBrYZhzAYOA52whjQZwD9N03Ts2xIRERGR6ml9DKTstx4HhkGfW+xNhQFi0qJJxKXEccW8KzBNk2yvE+RnNyZz7+0MGB/pnrrdzKN7HsDe+9AHa5Wk/sDDWKslTQMGlOUDf8EGc5cADwJbgMsL7nMusAAYYZrmm5VRv4iIiIi42NFt8NNTRccD7wO/IIdLCgNEgzoNSMpK4kT2CWx5QWTuvZ3QOg1oERpQxUVXD7Wh5wHTNPcDN5fhuniKlm89tS0XeKPgl4iIiIjURCkJ8MUVkJVsHddtAn1vPatb9GxZH8Mo8SOjx/P4ngcREREREQAykuDzKyD1gHXsVxcmfA3+zkuXJmYmct2C60jKSiLYLxhfgvHySScg4gO6tqq9H6Fr73cuIiIiIrVHTgZ8dTUcL1jJ38sXrv4cmvdyujQxM5FJiyZx4KQVMtJy0jDSe5Gf3Rhv/6MsSpzitIxrbaHwICIiIiKeLT8Xvp0ICauKzl3+HkQNc7q0MDjEpcRRx7uO/XxKUisy996Omd2EgxnxJe4DURsoPIiIiIiI5zJNmDcZdi4qOjfyJeg23unS4sGhTUgbvIptE5af1QIzvy4defS0G8l5OoUHEREREfFcPz8N678qOj7vITj3zhIvjd0bS1xKHFEhUUwZOIWMvAwA/I16mHn1ABjYurXDPhCxe2Mr/VuoTmrFaksiIiIiUgv9+Tb8UWw1/XOuh+FPlXr5hI4TAIiOiGbFoRVFDdktKFyQs19kA/syrrF7Y+3PqS0UHkRERETE82z4BmKL7QXc/mK49E04wxKrhWFgS+IW+7nU1HAAvL0MzmlVH7D2gahtwQE0bElEREREPM2un2HOXUXHLc+F8R+Dd9l/bl48PNgymwPQtVk9gvxr98/eFR5ERERExHMkrIGZN4Itzzpu1Amu/Rr8Ast8C5tpY2vSVvtxfpYVHvq1buDSUmsihQcRERER8QzHd8KX4yE33ToOaQk3zIKA0LO6zb7UfaQX3MPLFoyZFwJA30iFB4UHEREREan5Ug/C55dDZpJ1HBAK18+Ces3O+lbFhyzlZjSlcLK0woPCg4iIiIjUdJkn4ItxkLLfOvYNhOu+g0bty3W79qHtuavHXXQLHUBuelsA2jWuS2iQn6sqrrFq94wPEREREanZcjMhZgIcLegt8PKBqz6HFn3Kfcu2oW1pG9qWnOM7+DNpJ6D5DoXU8yAiIiIiNVN+Hnx3C+xbXnRuzDvQ7kKX3H7VniT7Y4UHi8KDiIiIiNQ8pgk/PgjbFxSdi/4P9LjGJbfPzbfx975k+7HmO1gUHkRERESk5vn1P7D2s6LjgZNh4H0uu/2mAylk5uYD0Lx+AM3qB7js3jWZ5jyIiIiISM2y8n1Y9n9Fxz0mwIVTXXLraWunsezAMrxyWuBVpz22rFb015AlO4UHEREREak5Nn0P/3us6LjtRTD6LfByzYCa9cfWsy1pG7ANL99wbFnQV+HBTsOWRERERKRmiFsMs+4ATOu4RV+46lPw9nXJ7U3TZGtisZ2lM62dpTXfoYjCg4iIiIhUfwf/hpnXgy3XOm7YHq79BvyCXPYS+9P2k5abBoAtLxAzrz5hQX5ENXLda9R0Cg8iIiIiUr0lxsEX4yHnpHUc3MzaPTrQtT0CxXeWtmW1AAz6RjbAMAyXvk5NpvAgIiIiItVX2hH4/HLIOG4d16kPN8yC+i1d/lLFw0N+VsGQJc13cKDwICIiIiLVU1YKfDEOkvdaxz4B1lClxp0q5eU2J262P7YVhId+mu/gQOFBRERERKqf3Cz4+jo4stE6NrzhyhnQqn+lvFxJk6WD/Lzp1DS4Ul6vplJ4EBEREZHqxZYPs26D+GVF50ZPgw4XV9pLljRZundkA3y89XG5OP1uiIiIiEj1YZqw4BHYOq/o3PCn4ZzrK/VlHSdLNwcM+kWGVupr1kQKDyIiIiJSfSx9CVZ/XHR87t1w3oOV/rK7knfZH9snS2u+gxOFBxERERGpHv6aDkteKDruOh6in4MqWCr1np73EDPyBzITricvtSd+3l70aFm/0l+3pvFxdwEiIiIiImyZCz8+XHQcNQzGvgteVfOzbsMw2H/Uj7y0rgD0iAyhjq93lbx2TaKeBxERERFxrz3L4PtbAdM6btYLrvocfPyqtIxV8Un2xxqyVDKFBxERERFxn0Mb4OtrIT/HOm4QBdd9C/51q7yUVXuKhQdtDlciDVsSEREREfdI2gNfjofsVOu4bjjcMBuCGlZpGZuObyIr12TroSTAB8OA3hFaaakkCg8iIiIiUvVOHoMvroCTR6xj/xC4/nsIjajyUt5Y8wYrD68ksL03mfsn0rF+b+rV8a3yOmoCDVsSERERkaqVnWb1OCTtto69/WFCDIR3rfJSTNNkS5K1x4PhlY8tN0zzHU5D4UFEREREqk5eNnx9HRxaZx0bXjD+Y4gc5JZyEtISSMuxdpY28wIxc0Ppp/kOpVJ4EBEREZGqYbPB7Dthz9Kic5e+Dp0udVtJm5M22x/nF+wsrZ6H0ik8iIiIiEjlM01Y+E/YPKvo3NAnoPdEt5UEsCVxi/1xflZz2jQMolGwvxsrqt4UHkRERESk8i17FVa9X3Tc9zYY/Ij76ilQPDzYspqr1+EMFB5EREREpHKt+RR+fbbouPNYuPglMAy3lQTWZOmtiVvtx/lZzbW/wxkoPIiIiIhI5dm2AH54oOi49WC44gPw8nZbSYUSTiaQmmPtMWHmB1iTpdXzcFoKDyIiIiJSOfb+Cd/dDKbNOg7vDld/CT7VY07B5sRik6UzWxBeL4CWDQLcWFH1p/AgIiIiIq53ZDPEXAN5WdZxaGtrE7g69dxSTsy2GBIzEx3OnTpZum/rBiRlJRGzLaaqy6sxFB5ERERExLWS98EX4yArxToOagw3zIK6jd1STsy2GJ5f+TyTFk1yCBCt67UmhC6Y+QHYsprTpYXBpEWTeH7l8woQpVB4EBERERHXSU+Ez6+AtEPWsV8wXP8dNGjjtpKiI6KJCokiLiXOIUCMbTuWzH2TOLnjKfIzWjH3yJPEpcQRFRJFdES02+qtzhQeRERERMQ1sk/CV1dC4k7r2NsPrvkSmvZwa1lhAWFMHzHdKUDsPp5OYnoOhnc6dSM/JiE9nqiQKKaPmE5YQJhba66uFB5EREREpOLyc+GbG+HAmoIThrWqUpsL3FpWoZICxJKduzG8TxIQ8QH4HVFwKAOFBxERERGpGJsN5t4Dcb8UnbvkFehyuftqKsGpAeKdnXcS2OZ1vP2P0sC3pYJDGSg8iIiIiEj5ZZ+EWbfBhplF5y54DPrd5r6aTqMwQPh7+5NLGl4+6djyApna720FhzLwcXcBIiIiIlJDHdkM39xUNMcBoPdEGPIvt5VUVrn5ufbHhmHSMTzYjdXUHOp5EBEREZGz9/cX8OFwx+DQ6yYY9RoYhvvqOoPEzEQmLZqEDZv9nOGdyZ0/3+a0D4Q4U3gQERERkbLLyYA5d1tzHPIyrXO+gXD5+zB6Gnh5u7e+0ygMDnEpcRhmUZ31fZs6LeMqJVN4EBEREZGyObYDPhoO674sOtewA9y2GHpc4766yqB4cGgd0gZbboi97Yl+z5a4D4Q4U3gQERERkTPb8A18MASObik61/0auH0xNO7otrLKonhwiAqJ4ra2L2OaRR+DOzRqUuI+EOJM4UFERERESpebBfPvt1ZUyk23zvnUgdFvweXvgV+Qe+srg9i9sfbgMH3EdNbsznO65tRlXGP3xrqh0upPqy2JiIiISMkS4+Dbm+DwxqJzDaLgqs8gvKv76jpLEzpOACA6IpqwgDCWbN8AIc7XFQaI2L2x9ueII4UHEREREXG2eTbMvQ9y0orOdR0Hl70J/jVvWdPCMLDneDrxiRkElRAewAoQCg6lU3gQERERkSJ52RD7BKz6oOictx+MfAH6TKrWy7CWxZLtR91dQo2m8CAiIiIilhPx8O1EOPh30bnQSLjyE2h2jntqcrEl24+5u4QaTeFBRERERGDbjzDnLshKKTrX8VIY8w4E1HdbWa6UlZvPit3WKkq5qedwZb9Q6vr7EOxX84ZhuYvCg4iIiEhtlp8LP0+B5W8XnfPygYuehXPvqvHDlIpbvjuR7DxrZ+lWXmN4bvAFbq6o5lF4EBEREamtUhLg25shYVXRuZCW1jClFn3cVlZlWbKtaL7DkPaN3FhJzVUr9nkwDKOFYRgfG4Zx0DCMbMMw4g3DeMMwjNBy3Ot8wzC+NwzjUMG9DhmGEWsYxiWVUbuIiIhIpdj5E7x3vmNwaD8S7vjNI4MDwJIdRfMdhnZs7MZKai6P73kwDCMK+BNoDMwFtgH9gPuBkYZhDDJNs0xbCBqG8QTwLHAc+AE4BDQEzgGGAAtcXb+IiIiIS+XnweLn4PfXis4Z3jD8KRg4Gbw882fLe46nszcxA4BAP2/6RJ71z5CFWhAegP9iBYfJpmm+VXjSMIzXgAeB54A7z3QTwzCuxAoOPwNXmKaZdkq7ryuLFhEREXG51EPw/STY+0fRueCmMH4GRAxwX11VYHGxIUsDoxryzro3Scyyfn78YO8HaRjQ0F2l1SieGS0LGIbRBogG4oF3Tml+GkgHbjAM47T7qhuG4QW8BGQA154aHABM08x1Rc0iIiIilSJuMbx3nmNwiBoGd/7u8cEBHIcsDenQiF/3/8q8uHnMi5vHyZyTbqysZvHo8AAMK/gaa5qmrXhDQQD4AwgEzj3DfQYCrbGGJZ0wDGOUYRiPGYZxv2EYnv+3TURERGouWz4sfgE+vxwyjlvnDC8Y+gRc9z0Eef5P3DNzipZoBSs8SPl4+rClDgVfd5TSvhOrZ6I98Mtp7tO34OsRYC3QrXijYRi/AeNN0zzjriOGYawppaljWloaS5YsOdMtKpW7X18qR1qa1Vmm99dz6T32fHqPawdXv8++Ocl03vIqockb7OdyfOuzpfPDJJvd4bffXPI61d36Y3nkFCzR2qyuwa71q8jIyLC3r1q1injf+CqppTr8XS6soTw8vechpOBrSinthefrn+E+hdPx7wQCgAuBYKArsAgYDHxb7ipFREREXCwkeRN9Vj/gEBxO1O/G6j5vkBza3Y2VVb0Nx/Ltj7s39HZjJTWfp/c8nEnhrifmGa4r/FNmYPUwrC843mwYxuVYPRsXGIYxwDTN5ae7kWmavUssxDDWBAcH9xoyZEjZKnehpUuX2h+74/Wl8hX+dEPvr+fSe+z59B7XDi55n202ayWl9c+BfdS2AYMfJXTIPxnoVbs+PJumyVOrlgB5ANx4YW8Gtm3I/83+P0i1runXrx+RIZFVUk91+LscHFz+HbU9PTwU9iyElNJe75TrSnOi4OvuYsEBANM0Mw3DWARMwloC9rThQURERKTSpCfC7Nth189F5wLD4IoPoe1w99XlRnuOp7MvyRqiFOTnTZ/IBm6uqGbz9PCwveBr+1La2xV8LW1OxKn3SS6lvTBcBJStLBEREREX27cSvrsZUg8UnWs1AMZ/DPWaua8uN1u8vWhK6sC2DfHz8fRR+5XL08PD4oKv0YZheBVfcckwjGBgEJAJrDjDfX7D6utqZxiGn2maOae0dy34Gl/xkkVERETOgmnCn2/BL1PBlld0ftADMOxJ8Pb0j3unt2R70f4OQztoV+mK8ujoZZpmHBALRAL3nNI8FQgCPjNNMx2sjd4Mw+hYsCt18fscB2ZiDX96qnibYRgXASOwhj4trIRvQ0RERKRkmSfg62vhpyeLgkOd+jBhJlw0tdYHh8ycfFbuSbIfa4nWiqsNf6LuBv4EphmGMRzYCvQHhmINV/p3sWubF7TvxQocxT1U8Lx/G4YxGFgFRACXA/nAbaZpJlfadyEiIiJS3IE18O1ESN5XdK55H7hyBtRv5bayqpPlu4/bl2ht36QuzeprhHlFeXx4ME0zzjCMPsAzwEjgEuAQMA2Yappm0umeX+w+Rw3D6A88gRUYzgXSgB+BF0zTPNPQJxEREZGKM01Y+T7EPgG23KLz594NF04FHz/31VbNLN5WfFdpxyFLN3a+kdQca7ml0DqhVVpXTebx4QHANM39wM1luC6eouVbS2pPwuqBeMhlxYmIiIiUVVYKzL0Xts4rOucfAmPfgU6Xua+uasg0TZbsKJrvcOqQpas6XFXVJXmEWhEeRERERGq8Q+vhm5vgxJ6ic017wJWfQoPW7qurmtp9PJ39SZlAwRKtEVqi1RUUHkRERESqM9OENTPgf/+E/Oyi831vhejnwLeO+2qrxhZvK+p1GKQlWl1G4UFERESkuso+CT88ABu/LTrnFwyj34Su49xWVk2wdEfRfIehHbVEq6soPIiIiIhUR0c2W8OUEncWnWvS1Rqm1LCt++qqATJy8li5+/RLtP77939zNMPqnXh20LOEB4VXWX01mcKDiIiISHXz9xfw4yOQl1l0rteNcPHL4KvlRs9keVwiOfnWEq0dmgTTNMT592z9sfXsTd0LQFZeVpXWV5MpPIiIiIhUE1752bTb+R4c/rXopG8gXPo69LjGfYXVMIuL7So9pKM2hnMlhQcRERGR6uDYdnqveYSgjGKbvjXqaA1TatzRfXXVMKZpsmR7sf0d2mu+gyspPIiIiIi424ZvYP4DBOWmF53rMQFGvQp+Qe6rqwaKO5ZOwglruFddfx/6RGoDOFdSeBARERFxl9xMWPhPWPOJ/VS+lx/el74G51wPRql710oplmwvvkRrGL7eWqLVlRQeRERERNwhMc5aTenIRvupjIBmbO7yGH173eDGwmq24kOWhnbQkCVXU3gQERERqWqbZ8Pc+yAnrehc13GsqT+efJ9A99VVw6Vn57FqT9ESrReUsESrVIz6cURERESqSl42LHgUvp1YFBy8/ay5DeOmKzhUUPElWjuGl7xEq1SMeh5EREREqsKJeCs0HPy76FxopLWaUrOe7qnJwzgs0aohS5VC4UFERESksm37EebcBVkpRec6XQZj3oE6Ie6ry4M4LdGqIUuVQuFBREREpLLk58LPU2D520XnvHwh+lnof6dWU3KhuGMnOZBsLdEa7O9D74jTL9H6YK8HOZl7EoCwgLBKr89TKDyIiIiIVIaUBPj2ZkhYVXQupCVc+Qm06OO2sjzV4m1FvQ7ntWvotERrzLYYoiOi7UFheMTwEu+TmJlI7N5YJnScUHnF1mAKDyIiIiKutiMWZt8OmSeKzrUfCWPfhcAG7qvLgy3ZUXy+g+OQpZhtMTy/8nlmbpvJ9BHTS+1pSMxMZNKiScSlxAEoQJTALastGYaR747XFREREalU+XnWMKWvriwKDoY3XPQMXBOj4FBJ0rPz+GtPUVC7oL3jZOnoiGiiQqKIS4lj0qJJJGYmOt2jeHCICokiOiK60uuuiSoUHgzD6Fjep1bkdUVERESqndRD8Nlo+P31onPBzeDmBTDofvDSCvmV5c9TlmgND6nj0B4WEMb0EdNLDRCnBofT9U7UdhUdtvS3YRgfAFNM0zxxxquLmACGYTwFLDdN8yfDMEKBR4BmwGbga9M0EypYn4iIiEjli1sM398KGceLzkUNhys+gKCG7qurlii+ROvQjiUv0VoYIApDwiWzLqFxoHWtzbSxL22fgkMZVDQC9wO6ADsNw7jPMAzvs3z+XcDhgsffAqOBtsC/gd2GYTxQwfpEREREKk/2Sfjpafj88qLgYHjBsCfguu8UHKqAaZosLb5Ea/vSl2gt3gORkZdBfGo88anxCg5noULhwTTNjaZpXgjcCkwGNhqGcfFZ3CIUOG4YRhRWD0Q30zTPBxoB9wD/MQxjbEVqFBEREXE5mw3Wfw1v94E/3qBgUAXUbQI3zoXBj2qYUhXZcijVYYnWXmdYorUwQHgV+xgc4hei4FBGLlltyTTNOYZhLAAeBL42DOMP4CHTNLed4alJQANgEPBesfvlAR8W9GT8A5jjijpFREREKmz/X7DwMTiwxvF85PkwbjoEN3FPXbXU3HUH7Y+HdWrstERrSdJz07Fhsx97GQp6ZeXK36lAYA3wKTAC2GAYxjTDME63beIvwOvAw0BJf9N+wRoWJSIiIuJeKQfg+9tg+oWOwaFuuLUE643zFByqWL7NZO66A/bjsec0P+NzEjMTuS32Nvuxt+HNiewTpa7CJI4qutrSA4ZhfGkYxg4gEZgP9AXexBrK1AHYYhhG/1Ju8RCQCmwHBhqGcY1hGL7F2scAx0p8poiIiEhVyM2EpS9bQ5Q2flN03tsfzn8Y7lsDPa/VMCU3WLE7kSOp2QCEBflxftvTzzEpXFXpYHpRb8XIyJFnXMZVilR02NLDwHLgXWAFsMY0zZxi7Z8ZhvEY8DEl9CCYpnkMGA9gGIYX8BrwgWEYO4EgoB3wrwrWKCIiInL2TBM2z7ImRKfsd2zrNBqin4XQSLeUJpY5fxf1OlzWoxk+pxmyVHw51iDfINJz0wHo1aQXj/Z91N42adEkzX84jYpOmG5pmuZVpmm+bprm8lOCQ6EZwKn7QTjt82Caps00zQew5j/MBRYB15um+XJFahQRERE5awfXwYyL4btbHINDk25w0w9w9ecKDm6WlZvP/zYdth9ffpohS6fu41DPt569rUvDLmfcB0KKVEX/2jFgWPETpmmW+roFKzg9Y5rm/aZpxlR6dSIiIiKF0o7A3HvggyGwb3nR+cCGcOkbcMdSaH2+u6qTYn7eeoST2XkAtGkYRPcWpU+zjd0baw8Obwx9g0MZhwDw9fKlXf12gPNGcrF7Yyv/m6iBXLLa0umYpmkCSyv7dURERETKLS8bVrwLv/0f5KQVnffygf53wgX/gDqnWwNGqlrxIUtjejbHMJwGtthN6DgBgOiIaLaf2G4/3z60PX7efvbjwgARuzfW/hxxVOnhQURERKTaMk3YvgAW/RtO7HFsaz8Sop+Dhm3dU5uUKik9hyXFNoYbe06zMz6nMAwc2n8IH8OHPDOPLmHOi3qGBYQpOJyGwoOIiIjUTke2wMJ/wp5TBkg07AAjn4e2F7qnLjmjHzccJM9mbczXq1V9IsKCyvzcce3HcWnUpexI2kGgb2BlleixFB5ERESkdklPhCXPw+qPwSzaKIw69WHo49DnFvD2LfXp4n6ziw1ZOt1E6dL4e/vTrVE3V5ZUayg8iIiISO2Qnwt/fQRLXoCslKLzhrcVGIY+DoEN3FeflMm+xAzW7ksGwMfLYFT3Mw9ZEtdReBARERHPt/NnWPQvOL7D8XyboTDyBWjcyT11yVmbU2xH6SEdGtEgyO80V4urKTyIiIiI5zq+ExY9DjtPWXazQRtrMnSHi+E0q/RI9WKaptMqS2dj9eHVpOem06VhFxoGnH43aimZwoOIiIh4nsxkWPoyrHofbHlF5/3rweBHof8d4OPvtvKkfDYkpLD7uLUzdF1/Hy7s1OSsnv/Zls9YvH8xAC+e/yKj2oxyeY2eTuFBREREPIctH9Z8Aoufg4ziOwQb0OsGGPYk1G3sruqkgopPlB7ZNZwAP++zev7mxM32x+1D27usrtpE4UFEREQ8w+6lsPBfcHSz4/mIQda8hqY93FOXuERuvo356w/aj892laVjGcc4mnEUgACfAFqHtHZpfbWFwoOIiIjUbEl7IPYJ2PaD4/mQVhD9LHQeo3kNHuD3XcdJTM8BoEk9f85tE3ZWz9+SuMX+uGODjvh46WNweeh3TURERGqm7DRY9iosfwfyc4rO+wbCeQ/BwHvBN8B99YlLzT1lorS319kFwuJDlkraWVrKRuFBREREahabDdZ/Bb88AyePOLZ1vwYufBrqae1/T5KenceizUXv9dizXGUJHMND57DOLqmrNlJ4EBERkZpj3wr432NwaJ3j+eZ94OKXoEUft5QllSt2y2Eyc/MBaN+kLp2aBp/V803TZPPxYj0PDdXzUF4KDyIiIlL9Je+Hn5+GTd87ng9uChdOhW5XgpeXe2qTSjf776KJ0mPPaY5xlnNYjmQcITHLWn0r0CeQyHqRriyvVlF4EBERkeorJwP+eNP6lZdZdN6nDgycDOc9AH5BbitPKt/RtCx+33nMfny2G8OB85AlL0NBs7wUHkRERKT6MU2rl+GnpyD1gGNbl8vhomegfiv31CZVav76Q9hM63H/1g1oXv/sJ8E7DFnSZOkKUXgQERGR6uXAGmu/hv0rHc+Hd7fmNUQMdE9d4hZziq2ydLZ7OxTq3qg7o6NGsyVxC10bdXVVabWSwoOIiIhUD2mH4eep1kpKxQU1guFPQc/rwOvsdhSWmm3X0ZNsPJACgJ+3Fxd3a1qu+wxpOYQhLYe4sLLaS+FBRERE3Cs3C1a8A8teg5yTRee9fGHA3XD+I1CnnvvqE7eZu66o12FYx8aEBPi6sRoBhQcRERFxF9OErfMg9klI3uvY1mGUtTt0WJR7ahO3M02T2cWGLI0t55AlcS2FBxEREal6hzda8xrilzmeb9QJRr4AUUPdU5dUG2v2niDhhLXCVr06Pgzt2MjNFQkoPIiIiEhVSj8Ovz4Laz8D01Z0PiAUhv4bet8M3vp4Ijj0Oozq3gx/n/LNd/nXsn+RkZtBl4ZduKLdFTQMaOiqEmsl/e0UERGRypeXA6s+gKUvQ3ZK0XnDG/rdBhc8BoEN3FefVCs5eTZ+2HDIflzeVZZM02Tp/qWk5abx6/5fGdVmlKtKrLUUHkRERKTymCbsWASx/4bEXY5tUcOtIUqNOrinNqm2lmw/SkpmLgDN6wfQJyK0XPfZn7aftNw0AOr716dZUDOX1VhbKTyIiIhI5Ti6DRY9DnG/OJ4Pawsjnod20WAY7qlNqrW56w7aH4/p2Qwvr/L9OSm+s3SXsC4Y+vNWYQoPIiIi4loZSbDkRfjrIzDzi877h8CQx6DvbeDj5776pFpLzcrlp61H7MflHbIEjjtLdw7rXKG6xKLwICIiIq6RnwdrZsDi5yDzRNF5wwt63QTDnoAgTVaV01u48TA5edZk+i7N6tGuSXC57+XQ89CwS4VrE4UHERERcYW4xdbSq8e2Op6PPB9GvgjhXd1Tl9Q4xVdZqkivg820sSVxi/24S5jCgysoPIiIiEj5JcZB7BOwfYHj+foREP0f6HSZ5jVImR1MzmTFnkQAvAy4rEf5JzjHp8aTkZcBQFidMJoENnFJjbWdwoOIiIicvaxU+O0VWPEu2HKLzvvVhfMfhnPvBt867qtPaqR56w9imtbjQW0b0qRe+f8MFZ/v0KWhJku7isKDiIiIlJ0tH/7+wtroLf2YY1vP62D4UxAc7p7apMabU2zI0tie5R+yBGjIUiVReBAREZGyif8DFv4TDm9wPN+yvzWvoXkv99QlHmHroVS2Hbb2ZKjj68WIrhULoQoPlaNWhAfDMFoAzwAjgTDgEDAHmGqa5onTPPV097wB+Kzg8DbTND9yQakiIiLVz4m98NNTsGWO4/l6zeGiZ6DrOM1rkAqbs66o1+GizuHU9a/Yx9R3L3yXrUlb2Xx8M90bda9oeVLA48ODYRhRwJ9AY2AusA3oB9wPjDQMY5Bpmolnec+WwFvASaCuaysWERGpJrJPwh9vwB/TID+76LxPAAy63/rlF+i28sRz2Gwmc/8u2hju8nMqvhN0oG8gvZv0pneT3hW+lxTx+PAA/BcrOEw2TfOtwpOGYbwGPAg8B9xZ1psZ1mybGUAiMAt4xKXVioiIuJvNBhu/gZ+nQNohx7au4+GiqRDSwi2liWdasSeRw6lZADQI8uP8do3cXJGUxsvdBVQmwzDaANFAPPDOKc1PA+nADYZhBJ3FbScDw4CbC54vIiLiOfb/BdMvgtl3OAaHpj3hlkUwfrqCg7hc8YnSl3Vviq932T+ixmyLITHzzINIEjMTidkWU676pIhHhwesD/kAsaZp2oo3mKaZBvwBBALnluVmhmF0Al4E3jRN8zdXFioiIuJWqQdh1u0w/UI4sLrofN0mMOa/cNtiaFWm/y5FzkpWbj7/23jYfjz2LDaGi9kWw/Mrn2fSokkOAWLDsQ2kZKfYjxMzE5m0aBLPr3xeAaKCPH3YUoeCrztKad+J1TPRHvjldDcyDMMH+BzYBzxe3oIMw1hTSlPHtLQ0lixZUt5bu4S7X18qR1qatXqF3l/PpffY81XWe+yVn03L/XNote97vG1F8xpshg/7W45lX6tx5KcEwm/6mVlVqI1/l1cdziMtOw+AxoEGyXHrWLK7bBPw6+bXJdw3nLiUOK6ZfQ2Tm0wm0CuQR/Y9Qh55NPRpyD2N7+H9Y+9zOPcw4b7h1D1QlyWHl1Tid3R61eE9LqyhPDw9PIQUfE0ppb3wfP0y3Osp4BzgPNM0MytYl4iIiHuZJo2O/UFU3KfUyT7q0HSs4QDioiaSFaD9GqTyLT+YZ388oKnPWW3mFuwdzOQmk5l2ZBqHcw8z7cg0xoeOJw/rnnm2PIfgMLnJZIK9g13+PdQmnh4ezqTwT6d52osMox9Wb8Orpmkur8gLmqZZ4pR/wzDWBAcH9xoyZEhFbl8uS5cutT92x+tL5Sv86YbeX8+l99jzufQ9PrgOFv4L9v3peL5JVxj5Ao1aD0bTVd2jtv1dPpGew6affrYfP3D5IFo3PJupqJaBmQOZtGgScSlxzEybaT+f651Lcm4yUSFRTB8xnbCAMJfUXRHV4T0ODi5/gPL08FDYsxBSSnu9U65zUmy40g7gSdeVJiIiUsVSD8Hi56wdoov/3CwwDIY9Ab1uAi9vt5Untc+PGw+Rm2/9WezZsn65ggNAWEAY00dMtweIQum56dUqOHgCTw8P2wu+ti+lvV3B19LmRIC1j0Ph87NK6Ur70DCMD7EmUj9wtkWKiIhUquO74M83Yf3XkJ9TdN7LB/rdARf8AwLqu608qZ1M0+S7NQn248vPYqJ0SQoDxPBvh5Nv5gMQ7Bus4OBinh4eFhd8jTYMw6v4ikuGYQQDg4BMYMVp7pENTC+lrRfWPIjfsYJKhYY0iYiIuFTCamuTt60/4DRCt100jHgeGrYr6ZkilW7F7iTW7U8GwNfbYFT3phW+Z1xynD04AHirJ83lPDo8mKYZZxhGLNaKSvdg7QpdaCoQBLxvmmY6gGEYvkAUkGuaZlzBPTKBW0u6v2EYU7DCw6emaX5UWd+HiIhImZkm7PoZfn8D9v7u3N6iL1zwT2h3YZWXJlLcW7/utD8e16sFDev6V+h+iZmJPLjkQfuxn5cfydnJTFo0Sb0PLuTR4aHA3cCfwDTDMIYDW4H+wFCs4Ur/LnZt84L2vUBk1ZYpIiJSAfl5sHkW/PEmHNnk3N4uGgY9ABED4SxWsxGpDGv2JvFnnLUvg7eXwd1D2lbofomZidy88GZSc1Lt514Z/ArT/p5GXEqcAoQLeXx4KOh96AM8A4wELgEOAdOAqaZpJrmzPhERkQrJSbcmQP/5NqTsc2zz8oGu42HQZGjSxT31iZTgrV932R+P6dGMVmGB5b5X4QZwe1L32M+1rd+Woa2G0qNxD/skagUI1/D48ABgmuZ+4OYyXBdP0fKtZbnvFGBKeesSEREpt/RE+OtDWPk+ZJ7yczDfQGvlpAH3QP2W7qlPpBQbE1JYsv0YYHWC3T20/L0OhcEhLiUOXy9fcm25AEzoOAHDMJxWYVKAqDgvdxcgIiIiZyF5Hyz4B7zRFZa84BgcAsNgyOPw4Ga4+EUFB6mWis91uKRbU9o2rlvue8XujSUuJY6okCg+GvER13a8liaBTRjVZpT9msIAERUSRVxKHLF7YytUf21XK3oeREREarqgk/G02jcLlv4OxVaTAaB+KxhwH5xzPfiVf/iHSGXbdjiV2C1H7Mf3DavYXIcJHScAEB0RTVhAGL0a9+Ifff/htMpSYYCI3Rtrf46Uj8KDiIhIdWWasPcP+P0N+u76ybm9STc47wHoPBa89V+6VH9vF5vrEN25CR3D653m6rI5NQyUtjxrWECYgoML6F8aERGR6sZmg20/WCsnHVjt3B55vhUaooZr5SSpMXYdPcmPGw/Zj+8bpj1GaiKFBxERkeoiL9vaBfrPaZC4y6HJxOB4w3NpdPlz0Ly3mwoUKb//LtmFWbBX4ZAOjejWIqTC98zJz+GLrV8wOmo0DQMaVvh+cmYKDyIiIu6WlQKrZ8CKd+HkYcc2bz/oMYFVPv3JDGzOEAUHqYH2JWYwd91B+3FF5zoU+nnvz7y+5nXe+vstru14LY/2fdQl95XSKTyIiIi4S9phKzCs/hiyUx3b/OtB30nQ/04IDidzyRK3lCjiCu8u3UW+zep2GBgVRu+IBi6579fbvwYgz5ZHPb+Kz5+QM1N4EBERqWrHd1lDk9bHQH6OY1vdcBhwN/S+Gerow5DUfAeSM/luTYL9+F4X9TpsT9rO30f/BsDHy4dx7ce55L5yegoPIiIiVSVhDfzxBmydD5iObWHtrJ2gu18NPv7uqE6kUnywNI7cfOvPe5+IUAa0cc0GbTHbYuyPL2p1keY8VBGFBxERkcpkmrDrFys0xC9zbm/ex1o5qcMo8NLereJZjqZmEfPXfvvxfcPbYbhghbDUnFQW7FlgP76m4zUVvqeUjcKDiIhIZcjPg82zreVWj2x0bm97kRUaIgZpuVXxWB/8tpucPBsA3VuEMLida3oH5u6aS2ZeJgDtQ9tzTuNzXHJfOTOFBxEREVfKyYC/v4Dlb0HyPsc2wxu6jYeBkyG8q3vqE6kiiSez+XJl0d+B+4a5ptfBZtqYuX2m/fiajte45L5SNgoPIiIirpCRBKs+gJXvQ2aSY5tvIPS6EQbcA/Vbuac+kSo2/fc9ZObmA9AxPJgLOzV2yX1XHFzB3tS9AAT7BjOq9SiX3FfKRuFBRESkIpL3wfJ3YO1nkJvh2BbQAPrfAf1uh0DXLE0pUhOkZOTy2fK99mNX9TpA0fKsAGPajiHQN9Al95WyUXgQEREpjyObrfkMG78DM9+xLaQVDLwXzrke/ILcU5+IG834cw8ns/MAiGoUxMiu4S65b3Z+NruSi3Zfv6rDVS65r5SdwoOIiEhZmSbs/dNaOWlnrHN7k64w6AHoMha8fau4OJHqIS0rlxl/xNuP7x3WFm8v1/Q6+Hv7M3/sfP44+Afrjq6jdUhrl9xXyk7hQURE5ExsNti+wAoNCX85t0eeb4WGtsO1cpLUep+v2EtKZi4AEWGBXNa9mUvv7+3lzeAWgxncYrBL7ytlo/AgIiJSmrxs2DAT/pgGiTtPaTSg06Uw6EFo0dst5YlUNxk5eXy0bI/9+O4hUfh4a/8ST6LwICIicqqsVFgzA1a8C2mHHNu8/aDHNdZyqw3buac+kWrqq5X7SErPAaB5/QAuP6eFmysSV1N4EBERKZR2BFa+C399DNkpjm3+9aDPzXDu3RDsmsmfIp4kKzefD37bbT++84I2+Pm4ptdha+JWXlz1IhM6TmB4q+H4ak6R2yg8iIiIJMbBn9NgXQzkZzu21Q2Hc++ygkOdEPfUJ1IDfLt6P0fTrL8/jYP9ubJPS5fd++vtX7P26FrWHl3Lle2v5KkBT7ns3nJ2FB5ERKT2OrAGfn8Dts4HTMe2sLbW0KQe14CPvzuqE6kxcvJsvLskzn58++A21PH1dsm9U7JTWLB7gf14dNRol9xXykfhQUREahfThLhfrNAQv8y5vXlva+WkjqPAyzUffkQ83ey/EziYkgVAWJAf1/WPcNm95+yaQ1a+de+ODTrSo1EPl91bzp7Cg4iI1A75ebBljrXc6uGNzu1tL7RCQ+R5Wm5V5Czk5dt4Z3FRr8Ot57chwM81wdtm2vhm+zf246s7XO2ynaqlfBQeRETEs+VkwLov4c+3IHmvY5vhDV3HwaD7Ibyre+oTqeHmrT/IvqQMAEICfLlhgOt6HZYfXM6+tH0ABPsGc0nrS1x2bykfhQcREfFMGUmw6kNY9T5kJDq2+QRArxthwD0Q6roPOiK1Tb7N5J3Fu+zHtwxqTV1/1328/Hrb1/bHY9qOIdA30GX3lvJReBAREc+SvB+WvwNrP4XcDMe2gFDodwf0ux2CwtxTn4gH+d+mQ8QdSwegrr8PEwdGuuzeB04eYGnCUvvx1R2udtm9pfwUHkRExDMc2QJ/vAmbvgNbnmNbSEsYcC/0ugH8gtxTn4iHsdlM3v61qNfhpoERhAS6bv+Fb7Z/g1mwCtqApgOIDIl02b2l/BQeRESk5jJN2LfcWjlp5yLn9sZd4LwHoMvloE2lRFzq561H2HY4DYAAX29uGdTaZffOzs9m9s7Z9uNrOl7jsntLxSg8iIhIzWOzwY7/WaEhYZVze8R5Vmhoe6FWThKpBKZp8naxuQ7Xn9uKsLqu2w8lMzeTYa2GsWDPAur71+eCFhe47N5SMQoPIiJSc+Rlw4ZvrN2gj+84pdGw9mY470Fo0cct5YnUFkt3HGNDQgoAfj5e3Da4jUvvX79OfaYMnMJDfR5iX+o+vLXnSrWh8CAiItVfViqs+QRW/BfSDjm2eftB96ut5VYbtnNLeSK1iWmavFVsrsOEvi1pHFynUl6rnl89ujbUMsrVicKDiIhUXyePwop34a/pkJ3i2OYXDH1vgf53Qb2m7qlPpBZavjuRNXtPAODrbXDHBVFurkiqksKDiIhUP4lx1qZu676C/GzHtrpN4Ny7oM8tUCfEPfWJ1GJv/VLU6zC+dwua1Q9w2b3Tc9PJs+UR4q+/29WVwoOIiFQfB9bCH2/AlnlQsESjXYMoGDQZul8DvpUzREJETm91fBLLd1ubLnp7Gdx1QVuX3v+7Hd/x1t9vcXHri7mx8420C9VQxOpG4UFERNzLNCHuVys07PnNub1ZL2vlpI6XgiZNirhV8bkOY3o2o1WY63Z8tpk2Zm6fSXZ+NnN2zaFX414KD9WQwoOIiLhHfh5smWNt7HZ4g3N72wutSdCR52u5VZFqYENCMkt3HAOsv5L3DHVtr8MfB/5gf9p+wJooPbL1SJfeX1xD4UFERKpWbib8/YU1pyF5r2Ob4Q1dr7BCQ3g399QnIiUq3utwafdmRDWq69L7f739a/vjsW3HEuDjurkU4joKDyIiUjUykuCvj2Dl+5Bx3LHNJwB63QAD7oXQCPfUJyKl2noolZ+2HLEf3zO0fCssxWyLIToimrCAMIfzCWkJLEtYZj8eETmCmG0xTOg4oXwFS6VReBARkcqVkgDL34E1n0JuumNbQCj0u936FdTQPfWJyBkV3016RJcmdAyvd9b3iNkWw/Mrn2fmtplMHzHdIUB8s+MbzIJFEvqG9+WpP54iLiUOQAGimlF4EBGRynF0qzWfYeO3YMtzbAtpCQPugV43gl+Qe+oTkTLZdTSNBRuLNme8d2j5JjFHR0Qzc9tM4lLimLRokj1AZOdnM3vnbPt1+9P2czj9MFEhUURHRFe4fnEthQcREXGtvcutlZN2LHRua9wZBj1gzWvw9q3qykSkHP67OA6zYOXkoR0a0a1F+fZgCAsIY/qI6UxaNMkhQPx+4HeSs5MB8DF87MHh1N4JqR4UHkREpOJsNtjxP6unYf9K5/aIQVZoaHeRVk4SqUH2JqYzd/1B+/G9wyq2dGpJAcLXq+gHCXlmnoJDNafwICIi5ZeVAuu/tiZCH99xSqMBHUdZoaFlX3dUJyIV9N/FceTbrG6HQW3D6B0RWuF7nhog/L397W2R9SIVHKo5hQcRETl7RzbDqg9hwzfOk6C9fKHH1TDwfmjU3j31iUiFbTqQwrdr9tuP76tgr0NxhQHiinlXkJSVBICflx+fjPxEwaGaU3gQEZGyycuBrfOsXoZ9y53b/YKhz0Q4926o16zKyxMR18m3mfx79kYKOh04v11D+rduUKF77kvdx6ebP+W6TtfRpn4bp/YAX+3rUBMoPIiIyOmlJMCaT6ylVtOPOrc36gT9boXuV4N/cJWXJyKu99WqfaxPSAHAz9uLqaO7YJRzvtKm45v4eNPH/Lz3Z0xM8sw8Jp8zmUmLJpGUlUSDOlYoScpKcliFSaonhQcREXFmmrBnqTU0afv/wMx3bPfygU6XQd/bIGKgJkGLeJBjadm8vHAbvqHLyUvtxl1DzqHNaXaTTsxMJHZvrMN+DKZp8vuB35mxeQZ/Hf7L4fp5u+ax5sga9qbutU+OBpxWYVKAqJ4UHkREpEhmctEE6MSdzu3BTaH3zdD7JggOr/LyRKTyPffjFrICllEnfC7eDVdy9blflXptYmai/UM/wPj241m4ZyEzNs9g5wnnf0P6hfcjIS3BITgUhoSSlnFVgKh+vNxdgIiIVAOHN8L8++G1TrDwMefgEHk+XPUZPLARhjym4CDiof7cdZw56w6Sl9qN/OzG5Psc5u5fbiMxM9Hp2uLBoU1IG5Kzkrlk1iU8/vvjDsHBx/DhsjaXMT16OomZiRxMP1jicqyFk6ijQqLsAaKk1xX3UngQEamt8nJg43cwfQS8d541ryE3o6jdLxj63Q73rIKJP0DnMdrYTcSDZefl88TcTQCY+XU5L+jJUj/IFw8OUSFRfDziY/48+CeH0w/brwnwCeCGzjew4IoFPH/+88SlxNmvL61X4dQAEbs3tvK/cTkrGrYkIlLbJO+3gsLaTyH9mHN7487Qt3ACdOnjnEXEs3z42252H7OWXq7r78Ozl52Lj6/zUCKAmxfdzJ6UPQ5B4OauN3P/4vtpUKcB13e6nqs6XEWIf9Fu1IVzIqIjok87HKkwQJw6j0KqB4UHEZHawGaDPUvgr+mwfQGYNsd2Lx/oNBr63QatBmgCtEgtsy8xg7d+3WU/fji6PU3q1QHqOMxFGD1nNJl5meTacmkT0sahB2FIyyE8f97zREdGO2z8VlxZw0BYQJiCQzWl8CAi4slOHoV1X1m9DEm7nduDm0Gfm6HXTRDcpOrrExG3M02TJ+ZuIjvP+qFCl2b1uOHcCHt7YU/AyO9HkpqTaj9/Y+cbHXoQvAwvLou6rOoKF7dQeBAR8TQ2G+xebA1N2r4AbHnO17S+wBqa1OES8NZ/BSK12ecr9vLbDmsIo2HAc5d3w8fbcVrs1sStZOVnOZ5L2lplNUr1of8xREQ8hF92Iix9Bf7+DJL3OV/gXw96TLBCQ6P2VV+giFQ72w+n8Z8fi0LAzQNb07NlfYdrjmcc58ElD9qPfQwf8sw8Vh9eTWJmopZTrWUUHkREarL8PNj1M103vkpY4mrA5nxNy/7QeyJ0Hgt+gVVcoIhUV1m5+UyO+ZucguFKnZrW47GLOzhck5iZyDU/XmPvdfA2vPns4s948o8ntR9DLaXwICJSEyXvg7+/gLWfQ9pBGp7aHhBq9TL0uhEad3JHhSJSzb2wYCvbj6QBUMfXi2nX9MTfx9venpiZyC2LbuFIxhH7uWs7XUu3Rt20oVstpvAgIlJT5OfCjoXWXIZdvwCm8zWR51uTnztdBr51qrpCEakhftl6hE+X77UfP3lpZ9o1CbYfF+7jsDulaKGFen71uKP7HUDRJGoFiNpH4UFEpLpL2g1rP7NWTTp5xLk9sCH7ws7nUNOL6H/JdVVfn4jUKEdTs3j0uw324+jOTbi2XyuHa2L3xhKXEoeX4YWtYGnnu3rc5bBvw6kBQvsy1A4KDyIi1VFeNmz7AdZ8CnuWlnxNm6HQ+yboMIrdv/9ZtfWJSI1ks5k8/O16ktJzAGhSz5+XxnXHOGVvlwkdJ/Drvl9ZcWgFAK2CW3F1h6ud7qcN3WqfWhEeDMNoATwDjATCgEPAHGCqaZonyvD8MOByYBTQDWgO5AAbgRnADNM8dcclEZFyOL7TGpa0PgYyEp3b64bDOddDrxsgNLKqqxORGm7673tYtvM4YC3L+vpVPQkN8ivx2leHvMqHGz7ky61f8lDvh/D19i3xOm3oVrt4fHgwDCMK+BNoDMwFtgH9gPuBkYZhDDJNs4T/oR1cCbyLFToWA/uAJsAVwEfAxYZhXGmaZgkDkEVEziA3E7bMs0LDvhJ6EAwvaHuR1cvQboT2ZRCRctl0IIWXF22zH995QRQD2zott2BXz68eD/d5mOs6XUeTQG0iKZba8D/Qf7GCw2TTNN8qPGkYxmvAg8BzwJ1nuMcOYDTwY/EeBsMwHgdWAeOwgsT3ri1dRDzakS3Wzs/rYyArxbm9Xgurh+Gc6yGkRdXXJyIeIyMnj8kxf5Obb/2cs0eLEB66qGz7vYQHhVdmaVLDeHR4MAyjDRANxAPvnNL8NHA7cINhGA+bpple2n1M0/y1lPOHDcN4DyuADEHhQUTOJCcdNs+2ehkS/nJuN7yhw8XWvgxRw8DL2/kaEZGz9Mz8Lew+bn3UCfTz5s1rzsH3lF2kRcrCo8MDMKzga+ypcxJM00wzDOMPrHBxLvBLOV8jt+BrXjmfLyK1wcF1Vi/Dxu8gO9W5vX6ENSyp53UQrJ/yiYjrLNh4iK//2m8/fmZMVyIbBpV47Y+7f2TZgWXcf879NK3btKpKlBrE08ND4TaJO0pp34kVHtpTjvBgGIYPcGPB4cIyPmdNKU0d09LSWLJkydmW4VLufn2pHGlp1iZAen+rlndeBo2P/kazg7EEn4xzarcZPhxv2J9DTaM5Edod8r1gzTasqVlnR++x59N7XDu4+n1OzLTx5B+Z9uP+4d6Epe5kyZJdTtfm2HJ46eBLnMg/QeyeWG5rdBudArTJpKtVh7/LhTWUh6eHh8LFiEsYTOxwvn457/8i0BVYYJrmonLeQ0Q8iWkSnLaDZgdjaXz0d7xtWU6XZAQ041DTaA6HDyPXL6SEm4iIVJzNNPlgQzYZBWMjwuoYtItcyUlbL4K9g52uX5y2mBP51iKUfvhxMOegwoM48fTwcCaFixqf9SpJhmFMBh7G+hHhDWV9nmmavUu535rg4OBeQ4YMOdtSKmzp0qI15N3x+lL5Cn+6ofe3EmWegA3fWnMZjm52bvf2h85joPdEAiMGEmUYRLnw5fUeez69x7WDK9/nt3/dyfYT1uALLwOuuugQX+z6jk387bQb9PHM4zw26zH7cUCdAOYkz6Fzh85ahtXFqsPf5eBg5/BYVp4eHgp7Fkr70V69U64rE8Mw7gHeBLYAw03TTCpfeSJSo5km7FthBYYtcyDPuZeBRp2syc/dr4LABlVcoIjUVmv3neD1n3fajycPb8cNvc5l+bH5xKXEMWnRJIcA8d91/yUjLwMAXy9fjmceJyokiuiIaLfUL9WXp4eH7QVfS1uLrF3B19LmRDgxDOMB4HVgE1ZwOFru6kSkZkpPtJZXXfsZHN/u3O4TAF2vsEJDi77WTkwiIlUkLSuX+7/+m3ybNbCiT0Qo9w5ti4+3F9NHTGfSokkOAeJE1gm+31m0YGSuLZeokCin3gkR8PzwsLjga7RhGF6n7NEQDAwCMoEVZbmZYRiPYc1zWAdcZJrmcdeWKyLVls0G8cusFZO2zof8HOdrwrtZgaHblVBHcxlExD2emruZ/UnWJOngOj68cU1PfAqWZQ0LCHMKEGEBYdiKLUqp4CCn49HhwTTNOMMwYrFWVLoHeKtY81QgCHi/cI8HwzB8gSgg1zRNh6VRDMN4EngGWANEa6iSSC2RdgTWf2X1MiTtdm73qwvdxkOvm6DZOeplEBG3mv13ArP/PmA/fu7ybrQIDXS45tQAEZdS9JGnRd0WCg5yWh4dHgrcDfwJTDMMYziwFegPDMUarvTvYtc2L2jfC0QWnjQM4yas4JAPLAMmG84fEOJN0/ykUr4DEalauVmwfYE1NGnXL2DmO1/TvLcVGLqOA/+6VV+jiMgpNh1I4ck5RQs2jOvVgtE9mpV4bVhAGA/2fpB7f73Xfs7f258vLvlCwUFOy+PDQ0HvQx+sD/8jgUuAQ8A0YGoZexBaF3z1Bh4o5ZqlwCcVKlZE3Mc0rR2f130Fm2dBVgnrKPiHQI+rrdAQ3rXqaxQRKUXcsZPc9PEqTmZb67JGhAUydUyX0z4nol4EBgZmwaKTAT4BlV6n1HweHx4ATNPcD9xchuviKVq+tfj5KcAUV9clItVA8n7Y8DWs/xoSnTdNAiBiEJxzg7XUql9gydeIiLjJgeRMbvhoJYnp1lysenV8eP+G3tT1d/yYZ5omhSMnEjMTeWDxA5iYeOFFkG8QydnJTqswiZyqVoQHEREHOemwZZ41l2HPMkrc6iU0EnpMgB7XWI9FRKqh4yezueGjlRxMsZaKDvD1ZsbN/egYXs9+TWpOKu+vf5/03HSmDJxCYmaifb5Dm5A2vHvhu/h7+zutwqQAISVReBCR2sFmg71/WMOStsyF3HTna/yCoctY6HkttBqgyc8iUq2lZuVy08er2H3c+vfM19vg/Rt60zsiFIA8Wx7f7/iet9e9TXJ2MgAXRVzEK3+9QlxKnNOqSiUt46oAIadSeBARz5YYZw1JWv81pOwr4QIDooZCj2uh4ygNSxKRGiErN59bP13N5oOpgLWD9JvXnMPg9o0A+PPAn7yy+hV2JTsOx3zst8dIyUkpcTnWkpZxVYCQUyk8iIjnyUqBzbNhXQzsL2Ubl4YdoOcE6H411Ct5NRIRkeooN9/G3V+uZdWeojVfXriiG5d0a8qelD383+r/47eE3xye0yyoGf2b9mf2rtmn3cfh1AARuzeWCR0nVPr3JDWHwoOIeAZbPsQttuYxbPsR8rKcrwkIha7jrdDQrJeGJYlIjWOzmTzy7Xp+3XbUfu7xSzoysnsIL616ia+3fU2emWdvC/QJ5Lbut3FD5xvw9/anU1gnoiOiT9ubUBggFBykJAoPIlKzHd1qzWPY8A2cPOzc7uUD7aKtyc/tR4CPf9XXKCLiAqZp8vS8zcxdd9B+7u4hUYzuHcSo2aNIyS5aYtrA4PJ2l3PfOffRMKCh/XxZw0BYQJiCg5RI4UFEap70RNj0nRUaDq0r+ZrwbtDzOqunoW6jKi1PRKQyvPbTDj5fsdd+fF3/Vjw6ogMAnRt0Zvmh5QD0btKbx/o+RqewTm6pUzybwoOI1Ax5ObAz1tr1eccisOU6XxPUGLpfZfUyaBM3EfEgHy3bzVu/Fkx+NvK4rHsrnhnT1b5vw6N9H+XBJQ/yQK8HGN5quP28iKspPIhI9WWacGi9FRg2fgsZic7XePtBh0us5VWjhoO3/lkTEc/yzV/7+c+PW8E7Hf+Gv1AvdDcvjpuPt1dRQGgX2o55Y+fhZXi5sVKpDfS/rIhUP2mHrTkM62Pg6JaSr2nR1+ph6HqFNRFaRMQDLdx0iH/O+hvf0BX4N/oZwzuTLOCbHTHc3PVmh2sVHKQqKDyISPWQmwXbf7SWV437BUyb8zX1WkCPq63Q0LBd1dcoIlKFlu04xgPzYqjT+ge8/Y85tP199G8mmhM1PEmqnMKDiLiPacL+VdbyqptmQ7GVQux8A6HTaGt51cjB4KWfrIlIzRKzLeaMy6MCJGYm8lvabwwOHsy8rWt5fMlz+Dbf4XBNy+CWPNznYYa1HKbgIG6h8CAiVS95H6yfaQ1LSoor+ZrI860ehs6jwT+4ausTEXGRmG0xPL/yeWZum3na3ZoTMxPtG7MtT11DQnw8RmBRD2ygTxB39biTaztdi5+3X1WVL+JE4UFEqkb2Sdg6z1peNX5ZydeEtrYCQ49rIDSiausTEakE0RHRzNw2k7iUOCYtmlRigCgeHLzwIiFvNxR2KpgG0a3G8PiAB87YcyFSFRQeRKTy2Gyw93drHsOWuZCb7nyNfz3oMhZ6XAutztWuzyLiUQp3ay4MB6cGiOLBISK4NQn7I6H+YgDMjHa8NPQJRnXs5cbvQMSRwoOIuF5inDUkaf1MSNnn3G54QZuh1vKqHUeBb0DV1ygiUkVKCxBJWUk8uvRR4lLiiKzXhsy9t5N8JJcAnwTM1EHMuOomBkQ1PPMLiFQhhQcRcY2MJNgyB9Z/DftXlnxNo47WsKTuV0O9plVanoiIO50aIEZ8P4Ls/GwAWtdrg3noTnYdtgG+ZCdM4sMb+yg4SLWk8CAi5Zd9Erb/z9rALe4XsOU5XxMQCt2utEJDs3M0LElEaq2wgDCeGvAUNy+62R4cfAwfUnbfyt5j1uRoA7i1mz/DOzVxY6UipVN4EJGzk5cDu36GTd9ZwSE3w/kaLx9oN8JaXrXdCPDRyiAiIr/u+5V/LfsXtmL72OTaTPadSAYaAHBdJz8GNtPHM6m+9KdTRM7Mlg97/7B6GLbMg6zkkq9r0dfqZeg6DoLU3S4iAmAzbby//n3+u/6/DufNfH8M72wCWn0Ch+7i+dEDqJ+y0z1FipSRwoOIlMw04eDfsPE72PQ9nDxc8nWNOkG38VZgaNC6amsUEanmTuac5PHfH2fx/sVFJ01v0vfejJkTTkDEB3j7H6Vl1884v+NQNpYyZUykulB4EBFHx3ZYQ5I2fgtJu0u+JqSVFRi6jYcmXaq2PhGRGiI+JZ77F9/P7pSif0tNmx/pe+7FzGkMwKUNn2Gb18vsSdnNpEWTmBQ8iWBvbYwp1ZfCg4hASoLVu7DxOzi8oeRrAhtC1yusYUkt+mris4jIaRzLOMa1P15LWm6a/ZwtL5CM3fdj5ocQXMeHl8d15+JuTUnM/Ni+CtO0jGlMbjLZjZWLnJ7Cg0htlZ5oLa268TvY92fJ1/gFQ6fLrB6G1heAt/7JEBEpi0aBjRjTdgxfbP0CAFtuPTL2TMbMr0uPlvV5e8I5tGwQCDgv4/p3xt9cxmXuLF+kVPokIFKbZKfBtgXWsKS4X0teWtXbH9qPsAJDu2ht4CYiUg75NpM6qWPITdmCLbcuuUmDMfPrctv5rXl0REf8fLwcri8MEO/8/A6Dgwe7qWqRM1N4EPF0edmEHV9JkyNL4fe1kJfpfI3hBW2GWEOSOo6COiFVXqaISE22P20/of6h1PWry9G0LB6cuY4/diUCVwEQGujLq1f1YFjH0vdvCAsIU3CQak/hQcQT2fIh/ndr0vPWeXTLSin5upb9oet46DIW6jau0hJFRDzFnwf/5NGlj9K7SW/Gt3iCh75Zz/GTOfb2fpENeHNCT5qGqCdXaj6FBxFPYZpwYK01JGnTrNKXVm3cpWhp1dCIqq1RRMSDmKbJp5s/5fW1r2MzbSzev5iFa73JOXkhYK0rce/Qttw/vB0+3l5nuJtIzaDwIFLTHdtuTXre+C2c2FPiJZl1GnO08WAiRj0MTTpXcYEiIp4nMy+Tp/98mv/t+Z/9nC23HnknOwDQsK4/b1zdk/PaacNM8SwKDyI1UfJ+a2nVTd/B4Y0lXxPUCLpYS6uu3HUSDIMIBQcRkQo7cPIADyx+gG1J2+zn8jIiyEq4HjM/mEFtw3j96p40Dq7jxipFKofCg0hNkX682NKqy0u+xr9e0dKqkYOLllaNW1JVVYqIeLSVh1byyNJHSM5Otp/LOdGf7MOX4WX48HB0e+4a0hZvL+2FI55J4UGkOstOg20/WoEh7lcw852v8faHDiOtic/tosFXP+kSESmrmG0xREdEExYQdtrrjmcc57mVz7F4/2LyC/4tNk1vsg+PJje5P+H16jBtwjn0a92gKsoWcRuFB5HqJi8bdv5kzWHYsRDyspyvMbxPWVq1XpWXKSJS08Vsi+H5lc8zc9tMpo+YXmqASMxMZPz88SRmJdrP2fKCyUy4HltmBMM6Nub/ruxBgyC/qipdxG0UHkSqA1s+7PnNmsOwZT5kl7a06rnWkKTOY6FuoyotUUTE00RHRDNz20ziUuKYtGhSiQEiMTORSYsmkZiViIE3JvnkZ7YkM+EGvG0hPD6qI5POa41haJiS1A4KDyLuYppwYI01JGnzLDh5pOTrmnQtWlq1fquqrVFExIMV7uo8adGkEgNEYXCIS4nDJ78pKfsvw7feBrKPXkrL0GDemtCLni3ru/ebEKliCg8iVe3oNmtI0qbv4ER8ydeERlpzGLqNh8adqrI6EZFapaQA8VH0R2xJ2sJrq18jLiUOM6cJyfGTMPPrkp3Zhku6hfPCFd0JCfB1d/kiVU7hQaQqHN8FW2bD5jlwZFPJ1wQ1hq7W0qo0723tLiQiIpWuMEDcsugW4lLiiP4+mlxbLgD52Y3J3HsbZn5d/Hy8ePLSzlzfv5WGKUmtpfAgUlmO7bCWVt08B45uLvka/xDofJnVy9B6MHh5V2WFIiIC7Evdx/zd80nLSQewBwfThKxDl2Pm16VNwyDeuvYcujQLcWepIm6n8CDiSke3wpa5VmA4trXka3zqQPuRVg9Du4vAx79KSxQREUjNSWVR/CLm7JzLhuPrS77I9MHMrc/l5zTn2bFdqeuvj00i+lsgUhGmWRAY5liB4fj2kq/z9reCQuex0H6EllYVEXGT9Nx0nvrjKX7dt4Q8M6fEa0ybD4bpi+GdSYeeM3li1MUKDiIF9DdB5GyZpjVvobCHIXFnydf5BBQEhjFWYPAPrtIyRUTE0eGULL5bc5Bf9qwj36coOJimATZfDO8c/M2mPNTtDYZ0aMTdv9x22mVcRWojhQeRsjBNOLyhKDAkxZV8nW+gtctz5zHWV/+6VVqmiIhYjmUc48fdP9I4oCn5J7vx7ZoEft95DJsJfmHn4N94EfmZzclN60xQg/Xk+xwlIrg1n148wx4STreMq0htpfAgUhrThEPrrLCwZS6c2FPydb5BVs9Cl7HQ9kLwC6rCIkVEpFBmXiaL9y1mXtw8/jy4HBMbZEWQtucuh+tyk/vil92VER2i2BL2MgczjhIVEuUUDs60D4RIbaTwIFKcacLBtUWBIXlvydf51bUmPRcGBt+AqqxSREQK2Ewba4+sZf7u+Szcs4iMvHTHC+rsxfA7hpnTCICBUWFc2acHI7qEM3f3t/y8Mr7E4FDo1AARuzeWCR0nVMW3JlItKTyIFO70vHk2bJkHKftKvs4vGDpcbAWGqGEKDCIibrQvdR/z4uYxP24+B9MPlnhNXnobclN60SI4nCt7RXFFr+a0CA20txeGgOiI6NP2JhQGCAUHEYUHqa1sNjiwuqiHITWh5Ov860GHS6zA0GYo+NapyipFRKQEufm5XP3DtZzMTXFqs2U3JDelFz6ZfRjVqTNXjmxB38gGeHmVvKlbWcNAWECYgoMICg9Sm9hssH+lFRa2zoPUAyVfVycEOowqCAxDtA+DiIgb5dpySclOoWFAQ46fzGbO3wf4bk0CSWZn/BosB8DMDyA3tQe5yb3o07QHVw5tySXdmhKk5VVFXE5/q8Sz2fJh34qiwJB2qOTr6tSHTpda+zC0vgB8/KqyShERKcY0TbYmbWV+3Hx+3P0jLQK6EJQyicXbjpJnMwHwqtMLwzeZvJTeNPY+h/G9IxnXqzkRYVq0QqQyKTyI57Hlw94/iwLDySMlXxfQoCAwjLECg7dv1dYpIiIOjmYc5cfdPzIvbh67knfZzydlLefkjmFgK5qv4JcfwSWNHmf8yBac2yas1GFJIuJaCg/iGfLzYO8f1k7PW+dD+rGSrwsMg06XWT0MkecpMIiIuFlmXia/7vuV+XHzWX5wOTZsTteYeUF4+R3HltWKPhGhXNmnBZd0a0pwHf0bLlLVFB6k5srPg/hlBYHhB8g4XvJ1QY2KAkPEIPDWH3sRkfKI2RZzxpWJABIzE8+4MpFpmjy74ll+3P0jGXkZzu02X/LSupKb0otGPl2YOKAl43u3pHVDDUsScSd9ipKaJT8X9vxWFBgyk0q+LqgxdB5dEBgGgpd3VVYpIuJxYrbF8PzK55m5beZpN0pLzEy074kApa9mtPPoSZbHxzsFB2t51d54Z3RjROdIxo9swaC2DfHWsCSRakHhQaq/vJyCwDAbtv0ImSdKvq5ueFFgaHWuAoOIiAtFR0Qzc9vM0+60XDw4RIVEER0RTUp2CoviF5Fry+XSiKuYt95aLWl9Qgo+wR0IaPFXwfKqvclN6UmPpq25clgLLu3ejJAADUsSqW4UHqR6ysuB3YutSc/bfoAs57W8AQhuZk147jwGWvYHL6+qrVNEpJY4daflUwNE8eDQJqQNk7pN4rmVz/1/e/cepFdd33H8/YUEjBgCCUQiQYIJkiheyEYuUstN0lorRo0z0qlWW2wZGIFKhRlaxQw6BR0RL22trUitdoZaR804DK5FgoJaxzB2qnJN2FRrxJLYXHBz//aPc5Ys62442T3P7Tzv18yZQ87veX77e+bLc/Z89ncurPnpGnbv2810ZrLq80eya+/+/fSebYt58rHLmDN9EW9aegIrB45n0dyZHfqEkqowPKh77NkJ675ZBoY7YOcEgeHI+fsDw/xXGBgkqU0mChDAU9tmHTaLzTs2c9291z3tvbvZxt4ZD8L2FwFw2KGHcOGLTmDlsrN41aJjmHao+3KpFxge1Fm7d8C6u4onPT98J+zcOv7rZj1//ylJxw8YGCSpQ8YGiBVfXcHOvTsZ3jMMwJZdv/mHn73D89m95TT2DZ/IS+fPYuXAfC562fM46tk+U0fqNYYHdUYmfOWy4jkMu7aP/5qjnl+EhRevgOcthfBiOUnqBiMB4o2r38jmHePfuGLf7iPZveU09mxZyuzDTuANpx3PyoETOOU4T0uSepnhQZ0RUTyLYWxwOHrB/sAw7+UGBknqIblvGnu2voTdW5ZyyM5FXLB4HitfM59zTjmW6Z6WJDWC4UGd8+IV8Og3YPYL9geG415qYJCkLjdycfTmHZs56vCj2L57O3v27WHf7qM5Md7CWy5Ywutffjyzj/C0JKlpDA/qnCWvg3kvg+eeamCQpB4x9nasIxdMv/3OP2Zo63pmzP00Fy39DLNnGBykJnIOUZ3zrFlw3EsMDpLUI8YLDnNmzGHOjDnc9ru3snDWwqfuwrRpeFOnhyupBfoiPETE/Ii4NSJ+HhE7I2IoIm6JiKM70Y8kSb1mouAwYuQiagOE1GyNDw8RsRBYC7wD+D7wUWA9cCXw3YiYc4C3196PJEm9aHDD4ITBYcTYADG4YbADI5XUSv1wzcPfAnOBKzLzEyMbI+Jm4M+BDwKXtrEfSZJ6zsWLLwZg+YnLxw0OI0YCxOCGwafeI6k5Gj3zEBEvAJYDQ8DfjGm+HngSeGtEHNGOfiRJ6mUXL774gMFhxJwZcwwOUkM1OjwA55frwczcN7ohM7cB9wHPBs5sUz+SJElSz2r6aUunlOuHJ2h/hGJG4YXAXW3oh4hYO0HT4o0bN7Jq1aoDvb3lOv3z1Vr33HNPp4egFrPGzWeN+4N1br5O1njjxo2Tfm/TZx5mlestE7SPbD+qTf1IkiRJPavpMw/PZOQBA9mufjJzYNwOihmJpVMchyRJktQyTQ8PIzMCsyZoP3LM61rdzwHNmzeP66+/fipdTMroU5U68fPVemvWrAHg3HPP7eg41DrWuPmscX+wzs3XDTVevXr1pE9davppSw+V6xdO0H5yuZ7oWoa6+5EkSZJ6VtPDw93lenlEPO2zRsRM4GxgGPhem/qRJEmSelajw0NmrgMGgQXA5WOaVwFHAJ/LzCcBImJ6RCwunyY96X4kSZKkJmr6NQ8AlwHfAT4eERcADwBnAOdRnGb0l6Nee3zZvoEiKEy2H0mSJKlxGj3zAE/NGiwDbqM42L8aWAh8HDgrMze1sx9JkiSpV/XDzAOZ+VPgHRVeN8T+265Ouh9JkiSpiRo/8yBJkiSpHoYHSZIkSZUYHiRJkiRVYniQJEmSVInhQZIkSVIlhgdJkiRJlRgeJEmSJFVieJAkSZJUieFBkiRJUiWGB0mSJEmVRGZ2egwCImLTjBkzZi9ZsqTtP3vjxo1P/fe8efPa/vPVetu2bQNg5syZHR6JWsUaN5817g/Wufm6ocYPPPAAw8PDmzNzzsG+1/DQJSLiMeBIYKgDP35xuX6wAz9b7WGNm88aN5817g/Wufm6ocYLgK2ZedLBvtHwICJiLUBmDnR6LGoNa9x81rj5rHF/sM7N1+s19poHSZIkSZUYHiRJkiRVYniQJEmSVInhQZIkSVIlhgdJkiRJlXi3JUmSJEmVOPMgSZIkqRLDgyRJkqRKDA+SJEmSKjE8SJIkSarE8CBJkiSpEsODJEmSpEoMD5IkSZIqMTw0UETMj4hbI+LnEbEzIoYi4paIOLoT/ah+U61NRMyJiEsi4ssR8WhEDEfEloi4NyL+JCLcN3SBVnwHI+KtEZHlckmd49XBq7PGEfGqiPhSRGws+9oYEYMR8XutGLuqqfF38mvLev6s3Gevj4gvRsRZrRq7nllErIyIT0TEtyNia7lv/fwk++qJ4y4fEtcwEbEQ+A4wF/gq8CBwOnAe8BBwdmZualc/ql8dtYmIS4G/AzYCdwP/DTwXeCMwC/gS8OZ0B9ExrfgORsQJwH8BhwLPAd6Zmf9Y57hVXZ01joi/Am4AngC+RvHdPgY4Dbg7M6+p/QPoGdX4O/km4BpgE/AVijovAi4CpgFvy8xJHbBqaiLih8DLgO3Az4DFwBcy8w8Psp/eOe7KTJcGLcDXgQTeNWb7zeX2T7WzH5furDFwPvA64JAx24+jCBIJvKnTn7Wfl7q/g0AA/w6sAz5c9nFJpz9nPy817q/fXL7+G8DMcdqnd/qz9utS0/76OGAv8Atg7pi288p+1nf6s/brUtbg5HIfe25Zj8934v+Vdi3OPDRIRLyA4sBgCFiYmftGtc2k+EtUUOx8nmx1P6pfO2oTEdcBHwQ+mZnvmvKgddBaUeeIuBL4KMUvt/OB63HmoWNq3F8fAjxKMXO4IDP/t5XjVnU11vgM4HvA6sx8/TjtWynOJJlZ7yfQwYqIcylm8w9q5qHXjrs8r7lZzi/Xg6P/xwPIzG3AfcCzgTPb1I/q147a7C7Xe6bQh6am1jpHxBLgRuBjmfmtOgeqSaurxq8ETgLuAH5Vnhd/bURc6bnwHVdXjR8BdgGnR8Qxoxsi4reBmRSziupdPXXcZXhollPK9cMTtD9Srl/Ypn5Uv5bWJiKmAW8r/3nnZPpQLWqrc1nTf6Y4He26qQ9NNamrxq8o148D91Nc73AjcAvwnYi4JyKOncI4NXm11DgzNwPXUswu/SQiPh0Rfx0R/woMUpyu9mc1jFed01PHXdM6PQDVala53jJB+8j2o9rUj+rX6trcCJwK3JGZX59kH5q6Ouv8PoqLZn8rM4enOC7Vp64azy3XlwKPAa8G/gM4EfgI8DvAFylOV1N71fY9zsxbImIIuBV456imR4HbMvOXkxyjukNPHXc589BfolxP9UKXuvpR/SZdm4i4Aria4g4Pb61zUKpdpTpHxOkUsw0fyczvtnxUqlPV7/Kho16/MjPvysztmflj4A0Ud385x1OYulLl/XVEXAP8G3AbsBA4AhgA1gNfiIgPtWiM6g5dddxleGiWkWQ6a4L2I8e8rtX9qH4tqU1EXA58DPgJcF45Ta7OmXKdR52u9DDw3vqGpprU9V3+Vblen5n/ObqhnGkamUE8/aBHqKmqpcblRbg3UVww/e7MXJ+Zv87M+ykC4v8AV5cX3ao39dRxl+GhWR4q1xOdE3dyuZ7onLq6+1H9aq9NRFwFfBL4EUVw+MWkR6e61FHn55TvXwLsGPVguKS40xLAP5TbbpnqgHXQ6t5f/98E7SPhYka1YalGddX498v13WMbMvPXwPcpjudOO9gBqmv01HGX1zw0y8iOZXlEHDLOrb7OBoYpbvnWjn5Uv1prExHXUlzn8EPgwsx8ot7hapLqqPNO4DMTtC2lONC4l+KXlqc0tV9d3+VvUdwZ7eSIOCwzd41pP7VcD019yDpIddX48HI90YXvI9vH1l69o6eOu5x5aJDMXEdx54UFwOVjmldRnCP5uZF7BEfE9IhYXD7VcNL9qH3qqnHZ9l6K4LAWuMDg0D3qqHNmDmfmJeMtwOryZf9Ubru95R9KT1Pj/voJ4HaK0x3eN7otIi6kuGB6C949re1q3F9/u1z/aUQcP7ohIl5DcWC5g+LpxOpiTTnu8iFxDTPO480fAM6geALiw8Ars3y8eUQsoLg7x4bMXDDZftReddQ4Iv6I4sK7vcAnGP88yqHMvK1FH0PPoK7v8gR9vx8fEtdxNe6v51LcB34RxYHm9ynutvQGigss/yAzv9j6T6SxatpfH0Jx7cqrgW3AlymeNr2E4pSmAK7KzI+15UPpaSJiBbCi/OdxFIF9PftD3xOZ+RflaxfQhOOuVjy22qWzC3AC8FmKJxLuAjZQXAw7e8zrFlD8YhmaSj8uvVdj4P3l9gMtazr9Oft9qeu7PE6/I/W/pNOfsd+XGvfXs4GbKQ5MdgGbKA5Azuz0Z+z3pY4aA9OBqyhOW9lKcaraLyme67G805+xn5cKv0+HRr22EcddzjxIkiRJqsRrHiRJkiRVYniQJEmSVInhQZIkSVIlhgdJkiRJlRgeJEmSJFVieJAkSZJUieFBkiRJUiWGB0mSJEmVGB4kSZIkVWJ4kCRJklSJ4UGSJElSJYYHSZIkSZUYHiRJkiRVYniQJPWciNgUEe8ZZ/sNEbGhE2OSpH5geJAk9ZSIWADMBn4wTvMyYG1bByRJfcTwIEnqNQNAAvdP0DZeqJAk1cDwIEnqNQPAI5m5ZfTGiDgROBZnHiSpZQwPkqReM9HswrJy7cyDJLWI4UGS1GuWMn5AGAA2ZOamNo9HkvqG4UGS1DMiYj5wDPCjcZovBO5r74gkqb8YHiRJvWR6uZ4xemNEnE4x83B720ckSX0kMrPTY5AkqZKICODHwF7g3cDjFKHhA8DazLyog8OTpMYzPEiSekpEnAR8GDgHOBxYB3wW+FRm7urk2CSp6QwPkiRJkirxmgdJkiRJlRgeJEmSJFUyrdMDkCRpIhFR67m1mRl19idJ/cZrHiRJkiRV4mlLkiRJkioxPEiSul5EbIqI94yz/YaI2NCJMUlSPzI8SJK6WkQsAGYDPxineRmwtq0DkqQ+ZniQJHW7ASCB+ydoGy9USJJawPAgSep2A8Ajmbll9MaIOBE4FmceJKltDA+SpG430ezCsnLtzIMktYnhQZLU7ZYyfkAYADZk5qY2j0eS+pbhQZLUtSJiPnAM8KNxmi8E7mvviCSpvxkeJEndbHq5njF6Y0ScTjHzcPuoba+LiMGIuDgilkfEnRHx9vYNVZKab1qnByBJ0gEMAQ8AH4yIYeBxitDwAeBrmbl61GvPB14D/D1wGHARsCoinpWZO9o6aklqKGceJEldKzMTeC3wEPAvwL3AFcBNwMoxLx/OzL3AOmBfZu4CtuMfyiSpNu5QJUldLTMf4zeDwnjWR8RdwF3AYESsAb6ZmdtbOT5J6idR/FFHkiRJkg7M05YkSZIkVWJ4kCRJklSJ4UGSJElSJYYHSZIkSZUYHiRJkiRVYniQJEmSVInhQZIkSVIlhgdJkiRJlRgeJEmSJFVieJAkSZJUieFBkiRJUiWGB0mSJEmVGB4kSZIkVWJ4kCRJklSJ4UGSJElSJf8PdbKK0pLCKnkAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "image/png": { "height": 267, "width": 391 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data1 = pd.read_csv(\"ReL400k_full_plate.csv\")\n", "a,b = data1.columns\n", "y = data1[a]\n", "u = data1[b]\n", "ReL = 400e3\n", "u_inf = u.max()\n", "delta = np.interp(0.99, u/u_inf, y)\n", "\n", "idx = np.where(y/delta >= 1)[0][1] # what does this do\n", "\n", "y1 = y[:idx]/(delta)\n", "u1 = u[:idx]/u_inf\n", "\n", "n = 9\n", "\n", "analytical1=[turbulent_bl(y, 1, n) for y in y1]\n", "plt.plot(analytical1, y1, label=\"measured data\")\n", "plt.plot([laminar_bl(y, 1) for y in y1], y1, label = \"laminar\")\n", "natplotlib([u1, r\"$\\frac{U}{U_\\infty}$\"], [y1, r\"$\\frac{y}{\\delta}$\"], label=f\"turbulent, n={n}\")\n", "\n", "print(f\"measured boundary layer is {delta}mm\")\n", "print(f\"empirical estimations say its about {0.38*L/(ReL**(1/5))}mm\") \n", "nu = (1.825e-5)/rho\n", "frac = nu/u_inf\n", "otherfrac = ReL/np.log(ReL)\n", "print(f\"hermann schlichtig says {frac*0.14*otherfrac*1e3*1.5}mm\")\n", "\n", "#importnat link maybe?? https://www.me.psu.edu/cimbala/me320web_Spring_2015/pdf/Flat_plate_turbulent_BL.pdf\n", "\n", "plt.savefig(f\"boundary layer {ReL}.png\", dpi=500)" ] }, { "cell_type": "markdown", "id": "e44e42e2", "metadata": {}, "source": [ "for the $Re_L = 400k$ plate, the turbulent boundary layer obviously fits better" ] }, { "cell_type": "markdown", "id": "a74d77ab", "metadata": {}, "source": [ "displacement thickness $\\frac{\\delta*}{\\delta} = \\int^\\delta_0 (1-\\frac{u}{U_\\infty}) d\\frac{y}{\\delta}$\n", "numerical integration gives $\\frac{\\delta*}{\\delta} = 0.1$" ] }, { "cell_type": "code", "execution_count": 22, "id": "646aaeb1", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "integrating the data gives 0.635878560555569mm displacement thickness\n", "integrating analytically gives 0.6945209174138441mm displacement thickness\n", "empirical estimations say 0.9639957363006132mm\n" ] } ], "source": [ "data_displacement1 = np.trapz((1-u1), y1)*delta\n", "print(f\"integrating the data gives {data_displacement1}mm displacement thickness\")\n", "analytical_displacement1 = np.trapz(1-np.array([turbulent_bl(y, 1, n) for y in y1]), y1)*delta\n", "print(f\"integrating analytically gives {analytical_displacement1}mm displacement thickness\")\n", "estimation_displacement1 = L*0.048/(ReL**(1/5))\n", "print(f\"empirical estimations say {estimation_displacement1}mm\")" ] }, { "cell_type": "markdown", "id": "e137bae8", "metadata": {}, "source": [ "momentum thickness $\\frac{\\theta}{\\delta} = \\int_0 ^\\delta \\frac{u}{U_\\infty}(1-\\frac{u}{U_\\infty}) d\\frac{y}{\\delta}$, numerical integration gives" ] }, { "cell_type": "code", "execution_count": 23, "id": "f9213df8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "integrating the data gives 0.5391214394444324mm momentum thickness\n" ] } ], "source": [ "data_momentum1 = np.trapz(u1*(1-u1), y1)*delta\n", "print(f\"integrating the data gives {data_momentum1}mm momentum thickness\")" ] }, { "cell_type": "code", "execution_count": 24, "id": "f0f6d14f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "shape factor is 1.179471848143983\n" ] } ], "source": [ "print(f\"shape factor is {data_displacement1/data_momentum1}\")" ] }, { "cell_type": "code", "execution_count": 55, "id": "659f1c5a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "measured boundary layer is 3.8451668522645215mm\n", "empirical estimations say its about 8.766444172391969mm for turbulent\n", "or perchance 2.9094598489238517\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 267, "width": 391 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data2 = pd.read_csv(\"ReL200k_full_plate.csv\")\n", "ReL = 200e3\n", "a,b = data2.columns\n", "y = data2[a]\n", "u = data2[b]\n", "\n", "u_inf = u.max()\n", "delta = np.interp(0.99, u/u_inf, y)\n", "\n", "idx = np.where(y/delta >= 1)[0][1]\n", "\n", "y2 = y[:idx]/delta\n", "u2 = u[:idx]/u_inf\n", "\n", "n = 4\n", "\n", "\n", "plt.plot([turbulent_bl(y, 1, n) for y in y2], y2, label=f\"turbulent, n={n}\")\n", "plt.plot([laminar_bl(y, 1) for y in y2], y2, label = \"laminar\")\n", "natplotlib([u2, r\"$\\frac{U}{U_\\infty}$\"], [y2, r\"$\\frac{y}{\\delta}$\"],\"actual data\")\n", "\n", "print(f\"measured boundary layer is {delta}mm\")\n", "print(f\"empirical estimations say its about {0.38*L/(ReL**(1/5))}mm for turbulent\")\n", "print(f\"or perchance {4.91*L/(ReL**0.5)}\")\n", "\n", "plt.savefig(f\"boundary layer {ReL} full.png\", dpi=500)" ] }, { "cell_type": "code", "execution_count": 26, "id": "d126cbe3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "integrating the data gives 0.4980487841498597mm displacement thickness\n", "integrating analytically gives 0.38451668522645216mm displacement thickness\n" ] } ], "source": [ "displacement_integral = np.trapz((1-u2), y2)*delta\n", "print(f\"integrating the data gives {displacement_integral}mm displacement thickness\")\n", "print(f\"integrating analytically gives {0.1*delta}mm displacement thickness\")" ] }, { "cell_type": "code", "execution_count": 27, "id": "c67fb820", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "integrating the data gives 0.3769512158501407mm momentum thickness\n" ] } ], "source": [ "momentum_integral = np.trapz(u2*(1-u2), y2)*delta\n", "print(f\"integrating the data gives {momentum_integral}mm momentum thickness\")" ] }, { "cell_type": "code", "execution_count": 28, "id": "9e2ca651-9383-483b-9a30-922abbe4c423", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "shape factor is 1.3212552797491497\n" ] } ], "source": [ "print(f\"shape factor is {displacement_integral/momentum_integral}\")" ] }, { "cell_type": "code", "execution_count": 59, "id": "7a51eb60", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "measured boundary layer is 3.365039685039537mm\n", "empirical estimations say its about 4.3832220861959845mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 267, "width": 391 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data3 = pd.read_csv(\"Rex200k_half_plate.csv\")\n", "ReL = 200e3\n", "a,b = data3.columns\n", "y = data3[a]\n", "u = data3[b]\n", "\n", "u_inf = u.max()\n", "delta = np.interp(0.99, u/u_inf, y)\n", "\n", "idx = np.where(y/delta >= 1)[0][1]\n", "\n", "y3 = y[:idx]/delta\n", "u3 = u[:idx]/u_inf\n", "\n", "n = 9\n", "\n", "plt.plot([turbulent_bl(y, 1, n) for y in y3], y3, label=f\"turbulent, n={n}\")\n", "plt.plot([laminar_bl(y, 1) for y in y3], y3, label = \"laminar\")\n", "natplotlib([u3, r\"$\\frac{U}{U_\\infty}$\"], [y3, r\"$\\frac{y}{\\delta}$\"],\"actual data\")\n", "\n", "print(f\"measured boundary layer is {delta}mm\")\n", "print(f\"empirical estimations say its about {0.38*X/(ReL**(1/5))}mm\") \n", "\n", "plt.savefig(f\"boundary layer {ReL} half.png\", dpi=500)" ] }, { "cell_type": "code", "execution_count": 60, "id": "675de71d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "measured boundary layer is 1.7380667409058077mm\n", "empirical estimations say its about 5.034999999999999mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 267, "width": 391 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data4 = pd.read_csv(\"Rex100k_half_plate.csv\")\n", "ReL = 100e3\n", "a,b = data4.columns\n", "y = data4[a]\n", "u = data4[b]\n", "\n", "u_inf = u.max()\n", "delta = np.interp(0.99, u/u_inf, y)\n", "\n", "idx = np.where(y/delta >= 1)[0][1]\n", "\n", "y4 = y[:idx]/delta\n", "u4 = u[:idx]/u_inf\n", "\n", "n = 4\n", "\n", "plt.plot([turbulent_bl(y, 1, n) for y in y4], y4, label=f\"turbulent, n={n}\")\n", "\n", "plt.plot([laminar_bl(y, 1) for y in y4], y4, label = \"laminar\")\n", "natplotlib([u4, r\"$\\frac{U}{U_\\infty}$\"], [y4, r\"$\\frac{y}{\\delta}$\"],\"actual data\")\n", "\n", "print(f\"measured boundary layer is {delta}mm\")\n", "print(f\"empirical estimations say its about {0.38*X/(ReL**(1/5))}mm\") \n", "\n", "plt.savefig(f\"boundary layer {ReL}.png\", dpi=500)" ] }, { "cell_type": "code", "execution_count": 31, "id": "5abfd2f8", "metadata": {}, "outputs": [], "source": [ "a,b = data4.columns\n", "y = data4[a]\n", "u = data4[b]" ] }, { "cell_type": "code", "execution_count": 32, "id": "d431d8fa", "metadata": {}, "outputs": [], "source": [ "u_inf = u.max()" ] }, { "cell_type": "code", "execution_count": 33, "id": "11b24852", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "99296690.82719405" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "find_re(u_inf, X, (1.825e-5)/rho)" ] }, { "cell_type": "code", "execution_count": 34, "id": "0d532a03", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "image/png": { "height": 248, "width": 372 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(u2, y2)\n", "plt.plot(u4, y4)" ] }, { "cell_type": "code", "execution_count": 64, "id": "0237127d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.0572987887640433" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X * 4.91/(np.sqrt(100e3))" ] }, { "cell_type": "code", "execution_count": 66, "id": "2eed1a71-af13-4e2d-96fe-63f6cb801058", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.1337652033891443" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_displacement1 = np.trapz((1-u3), y3)*delta\n", "data_momentum1 = np.trapz(u3*(1-u3), y3)*delta\n", "data_displacement1/data_momentum1" ] }, { "cell_type": "code", "execution_count": 67, "id": "e15debcb-203e-44e5-819e-f14b9018fbb0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.4089462971188205" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_displacement1 = np.trapz((1-u4), y4)*delta\n", "data_momentum1 = np.trapz(u4*(1-u4), y4)*delta\n", "data_displacement1/data_momentum1" ] }, { "cell_type": "code", "execution_count": null, "id": "c3b0396a-4bec-49f2-b85d-5436a200a6e9", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }