GeneralLakeModel.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "9491a46f-39e5-4f78-a998-2945d0c38257",
   "metadata": {},
   "source": [
    "# General Lake Model (v3.0)\n",
    "\n",
    "Ref: Hipsey, M. R., Bruce, L. C., Boon, C., Busch, B., Carey, C. C., Hamilton, D. P., ... & Winslow, L. A. (2019). A General Lake Model (GLM 3.0) for linking with high-frequency sensor data from the Global Lake Ecological Observatory Network (GLEON). *Geoscientific Model Development*, 12(1), 473-523.\n",
    "\n",
    "Code: https://github.com/AquaticEcoDynamics/glm-aed\n",
    "\n",
    "This notebooke resumes the modeling processes based on python scripts. So first we are going to load the necessary python libraries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0b58dd06-1e87-4e08-b40c-0fefaf4ccd5a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import simpson"
   ]
  },
  {
   "attachments": {
    "47e56d7e-3804-437d-abb6-3a0030e2294e.png": {
     "image/png": 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"
    }
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   "cell_type": "markdown",
   "id": "a31d22cd-0543-46f4-b7c6-18825731d43f",
   "metadata": {},
   "source": [
    "\n",
    "## Introduction\n",
    "\n",
    "The General Lake Model (GLM) is a 1-D hydrodinamic model for enclosed acuatic ecosystems. It is writen in C language but it is configured so the user can configure inflows/outflows and meteorogical conditions without changing code structure, only using the parameterization file (glm3.nml). \n",
    "\n",
    "### Background and layer structure\n",
    "\n",
    "The model is based on Lagrangian layer scheme first introduced by Imberger et al.(1978) and Imberger and Patterson (1981). Layers are named from botton to surface, and each layer (*i*) has a \"control volume\" that can change thickness by contracting and expanding in response to inflows, outflows, mixing with adjacent layers and surface mass fluxes.\n",
    "\n",
    "![image.png](attachment:47e56d7e-3804-437d-abb6-3a0030e2294e.png)\n",
    "\n",
    "### Layer structure based on hypsographic curves\n",
    "\n",
    "#### Lake form\n",
    "The GLM uses a hypsographic curve to describe the relationship between the surface area of the lake and its elevation (or depth). This curve is derived from the lake’s bathymetry, which provides information about the shape and depth of the lake bottom. The hypsographic curve allows the model to understand how lake volume changes with depth, enabling accurate calculations of water volume changes within each model layer.\n",
    "\n",
    "1) Input data provided by user: elevations (masl) and surface area\n",
    "2) With that information we can calculate de volume of the lake at different depths.\n",
    "\n",
    "The formula for calculating the volume between two depths, using the trapezoidal rule, is:\n",
    "\n",
    "$$\n",
    "V = \\frac{h}{2} \\times (A_1 + A_2)\n",
    "$$\n",
    "\n",
    "Where:\n",
    "- \\( h \\) is the difference between the two depths.\n",
    "- \\( A_1 \\) is the cross-sectional area at depth \\( H_1 \\).\n",
    "- \\( A_2 \\) is the cross-sectional area at depth \\( H_2 \\).\n",
    "\n",
    "Rewriting the formula:\n",
    "\n",
    "$$\n",
    "V = (0.5 \\times (A_1 + A_2)) \\times h\n",
    "$$\n",
    "\n",
    "Since we are calculating the total volume at consecutive depths, we need to add the volume calculated from the previous step. Here, \\( h \\) is the difference between depths \\( H_1 \\) and \\( H_2 \\):\n",
    "\n",
    "$$\n",
    "V = \\left[ 0.5 \\times (A_1 + A_2) \\times (H_1 - H_2) \\right] + V_{-1}\n",
    "$$\n",
    "\n",
    "# Step 2: Interpolate for finer depth increments\n",
    "\n",
    "The goal here is to interpolate volume and area at finer depth increments (e.g., every 0.1 m) between known depths, allowing for a more detailed analysis of the lake’s characteristics.\n",
    "\n",
    "## 1. Define finer depth increments\n",
    "\n",
    "We define a set of finer depth points, \\( H_{\\text{fine}} \\), which represent depths spaced regularly between the minimum and maximum depths in the dataset. Initially, we have no values for volume and area at these finer depths, so we will interpolate them.\n",
    "\n",
    "## 2. Loop through depth intervals\n",
    "\n",
    "For each consecutive pair of known depths, \\( H_{i-1} \\) and \\( H_i \\), we focus on the finer depth points that fall within this range:\n",
    "\n",
    "\\[\n",
    "H_{i-1} \\leq H_{\\text{fine}} < H_i\n",
    "\\]\n",
    "\n",
    "This means we interpolate between the known values at these depths, applying the formulas for volume and area.\n",
    "\n",
    "## 3. Calculate interpolation coefficients\n",
    "\n",
    "Since volume and area typically change non-linearly with depth, we use logarithmic interpolation. The interpolation coefficients \\( \\alpha_b \\) for volume and \\( \\beta_b \\) for area are calculated as follows:\n",
    "\n",
    "\\[\n",
    "\\alpha_b = \\frac{\\log_{10}(V_i) - \\log_{10}(V_{i-1})}{\\log_{10}(H_i) - \\log_{10}(H_{i-1})}\n",
    "\\]\n",
    "\n",
    "\\[\n",
    "\\beta_b = \\frac{\\log_{10}(A_i) - \\log_{10}(A_{i-1})}{\\log_{10}(H_i) - \\log_{10}(H_{i-1})}\n",
    "\\]\n",
    "\n",
    "These coefficients describe the rate of change of volume and area between the two known depths.\n",
    "\n",
    "## 4. Interpolate volume and area at finer depths\n",
    "\n",
    "Using the coefficients \\( \\alpha_b \\) and \\( \\beta_b \\), we interpolate the volume \\( V_{\\text{fine}} \\) and area \\( A_{\\text{fine}} \\) for the finer depth points. The formulas for interpolation are:\n",
    "\n",
    "\\[\n",
    "V_{\\text{fine}}(H_{\\text{fine}}) = V_{i-1} \\times \\left( \\frac{H_{\\text{fine}}}{H_{i-1}} \\right)^{\\alpha_b}\n",
    "\\]\n",
    "\n",
    "\\[\n",
    "A_{\\text{fine}}(H_{\\text{fine}}) = A_{i-1} \\times \\left( \\frac{H_{\\text{fine}}}{H_{i-1}} \\right)^{\\beta_b}\n",
    "\\]\n",
    "\n",
    "These equations apply the logarithmic interpolation to estimate the volume and area at the finer depths within the range \\( H_{i-1} \\leq H_{\\text{fine}} < H_i \\).\n",
    "\n",
    "## 5. Handle the last depth point\n",
    "\n",
    "For the last depth in the dataset, \\( H_{\\text{fine}} \\geq H_{\\text{max}} \\), we directly assign the known values of volume \\( V_{\\text{max}} \\) and area \\( A_{\\text{max}} \\) since there are no finer depths beyond this point.\n",
    "\n",
    "\\[\n",
    "V_{\\text{fine}}(H_{\\text{fine}} \\geq H_{\\text{max}}) = V_{\\text{max}}\n",
    "\\]\n",
    "\\[\n",
    "A_{\\text{fine}}(H_{\\text{fine}} \\geq H_{\\text{max}}) = A_{\\text{max}}\n",
    "\\]\n",
    "\n",
    "## 6. Calculate effective radius\n",
    "\n",
    "Finally, assuming a circular cross-section for the lake, we can calculate the effective radius \\( r_{\\text{fine}} \\) at each finer depth from the interpolated area values. The radius is calculated using the area of a circle:\n",
    "\n",
    "\\[\n",
    "r_{\\text{fine}} = \\sqrt{\\frac{A_{\\text{fine}}}{\\pi}}\n",
    "\\]\n",
    "\n",
    "This provides an estimate of the radius of the lake at each depth, assuming the area represents a circular shape.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "64c17ce5-20fe-42cc-a8c7-f9828e5daa79",
   "metadata": {},
   "outputs": [
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     "name": "stdout",
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      "  True  True]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_9342/2453768895.py:28: RuntimeWarning: divide by zero encountered in log10\n",
      "  alpha_b = (np.log10(V[i]) - np.log10(V[i-1])) / (np.log10(H[i]) - np.log10(H[i-1]))\n",
      "/tmp/ipykernel_9342/2453768895.py:32: RuntimeWarning: invalid value encountered in multiply\n",
      "  V_fine[H_range] = V[i-1] * (H_fine[H_range] / H[i-1]) ** alpha_b\n"
     ]
    },
    {
     "data": {
      "image/png": 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o0aNHos954cKFBmC8//77Tuufeuopw2azGYcPH3asAwwfHx+ndTt37jQAY+zYsYk+jv21W6ZMGSMqKsqx/vPPPzcAY/fu3Y51tWrVMmrUqOF0+/nz58d5Pdtfx/PmzXOsi4iIMPLly2dUrlzZse6RRx4xWrVqlWi+pL4H27RpY/j7+xvh4eGOdYcOHTK8vLyMe//dAoaHh4exd+/eOI937+vk1q1bRvny5Y3HHnsszn0AxrZt2xzrjh8/bvj5+Rnt27d3rLO/Rp999lmn27dv394ICgpyWhcSEuL0unjnnXcMwJg/f36cnHe/pu516NAhw8PDw2jfvr3T5+i9twOMd999N87t780xdepUAzDq1q1r3L5922nbp59+2sidO7fT+lOnThkeHh7Ge++951jXuHFjo0KFCsbNmzedstSuXdsoUaJEgs/FLjl/l6S8F9q1a2f4+fkZx48fd6zbt2+f4enpGef1cq/Y2FijQIECcT6TfvzxR6fPR/tnQLNmzZz+DuPGjTMA45tvvnGsu/d/V3z/3wzDMI4ePWoAxtSpU51uCxgjR450rLt06ZKRKVMmw2azGT/88INj/f79++P83R/m8/ny5ctG1qxZjRo1ahg3btyI00528X3+jho1yrDZbE5/A/v7xS6lX8vxtWtSs7388ssJvjbuffx27doZPj4+xpEjRxzrTp48aWTNmtWoX7++Y539vdWkSROn5zNw4EDD09PTuHz5cpzH8vHxMV566aV4c8j9qduhuMz+/ft5+eWXqVWrFj169EjWbbNkyQLA1atX77vt9evXyZUrF7ly5aJ48eK89dZb1KpViwULFjhtV6RIEZo3b+60bunSpVSvXp26des6PfYLL7zAsWPH2LdvX7Jyx2fOnDkEBgbStGlTzp8/7/ipUqUKWbJk4ddff03wtqdOneLPP/+kZ8+e5MiRw7G+YsWKNG3alKVLlz50vviULVuWevXqOX7PlSsXpUqV4u+//3Z6XvXq1SN79uxOz6tJkybExMQk2PUpOe4+J+/mzZucP3+emjVrArBjx4442+/Zs4cGDRpQuHBhVq1aRfbs2VMs74ULF5zu7172I1d2/fv3B3D6G939fCIiIjh//jwNGjTg77//dnSxtZ+zt2TJEqKjo+N9rKS+platWsWtW7fo37+/01HCV199NdHnard06VI8PT0ZMGCA0/rBgwdjGAbLli1zWt+kSROKFSvm+L1ixYoEBAQ4vW4S06tXL6euy/bX4N237969O5s3b3Yc3QaYOXMmwcHBcY585M+f3+loRkBAAN27d+ePP/5wjNaVLVs29u7dy6FDh+LNlNT3YExMDKtWraJdu3ZO55kWL16cxx9/PN77btCgAWXLlo2z/u7XyaVLl4iIiKBevXrxvuZr1arl2BMNUKhQIZ544glWrFjh1O0M4MUXX3T6vV69ely4cIErV67Emw9g3rx5PPLII/EeFUrsfI+FCxcSGxvLO++8E2cAj4c5T6R3796OIzp2nTp14uzZs07d4+bOnUtsbCydOnUC4OLFi6xevZqOHTty9epVx3vmwoULNG/enEOHDhEeHp7oYyfn73K/90JMTAwrVqygXbt2FCpUyLFdmTJl4vyfio/NZqNDhw4sXbqUa9euOdbPnj2bAgUKOP6n2T8DXn31Vae/Q+/evQkICHDqYp8S7h7sKVu2bJQqVYrMmTPTsWNHx/pSpUqRLVu2FPt/EhYWxtWrV3njjTfinPd092vt7r/f9evXOX/+PLVr18YwDP74448E799Vr+W7PWi2hMTExLBy5UratWtH0aJFHevz5ctHly5dWL9+fZz3/QsvvOD0fOrVq0dMTAzHjx+Pc//2v5M8GBVf4hKnT5+mVatWBAYGMnfu3Dj/LO/H/s8ka9as993Wz8+PsLAwwsLCWLt2Lf/88w+///670wcO4OjecLfjx49TqlSpOOvtXfDi+9BJrkOHDhEREUHu3LkdRaL959q1a46BMuJjf/yEMp4/f57r168/dMZ73f1lwC579uxO5xMdOnSI5cuXx3lOTZo0AUj0eSXVxYsXeeWVV8iTJw+ZMmUiV65cjr9jfOcDtmnThqxZs7JixQoCAgKcrkuJvMY95zndrUSJEk6/FytWDA8PD6fh/H///XeaNGniOG8oV65cvPXWW07Pp0GDBoSGhjJ8+HBy5szJE088wdSpU52mTkjqa8r++rk3W65cuRItJO2OHz9O/vz547wPE3p/JOV1k5h7b2/PePftO3XqhK+vLzNnzgTMdluyZAldu3aN80WoePHicdaVLFkSuHM+6Hvvvcfly5cpWbIkFSpUYMiQIezatcuxfVLfg2fPnuXGjRsUL148znbxrYP4P5PALLxr1qyJn58fOXLkIFeuXEycODHe1/y9f1v7c4yMjIxzvkZS2vdeR44ceaApIY4cOYKHh0e8xeXDiK/NWrRoQWBgoFP3qNmzZ1OpUiXH3/vw4cMYhsHbb78d5z3z7rvvAvf/DEjO3+V+74Vz585x48aNeP9+8b3W4tOpUydu3LjhOGft2rVrLF261HHeLyT8+vXx8aFo0aIp8j/Ozs/PL04X28DAQAoWLBjnfRgYGJhi/0/sO2Lu9zo9ceKEYydKlixZyJUrl2OHTWLnl7vqtZwS2RJy7tw5IiMjE/zcio2N5Z9//nFan5zPB8MwNNjGQ9A5X5LiIiIiePzxx7l8+TLr1q2Ld7TB+7GfIJ3Ql5a7eXp6Oj6gE5OckQ1TUmxsLLlz53Z8WbxXQueDWCmhYvnu4iM2NpamTZsmOOGi/UvPw+jYsSMbNmxgyJAhVKpUiSxZshAbG0uLFi3iPQk7NDSUadOmMXPmTPr06eN03cPmDQoKSnIRAXH3iB45coTGjRtTunRpPv30U4KDg/Hx8WHp0qV89tlnjudjn2x406ZNLF68mBUrVvDss8/yySefsGnTJkcbuONrKimvm4e9ffbs2WndujUzZ87knXfeYe7cuURFRcUZOTWp6tevz5EjR/jpp59YuXIlX3/9NZ999hmTJk2675QNDyu+z6R169bRtm1b6tevz4QJE8iXLx/e3t5MnTo13kEKkuNh/z6p6d6jdnbxtZmvry/t2rVjwYIFTJgwgTNnzvD7778zcuRIxzb299drr72W4JGlxP7fJPfvkhptXbNmTQoXLsyPP/5Ily5dWLx4MTdu3HAc7XtYCX25Tuhvk9Bzdof/JzExMTRt2pSLFy8ydOhQSpcuTebMmQkPD6dnz54pNkhUQo/trtnulpzX7OXLlxM931MSp+JLUtTNmzdp06YNBw8eZNWqVQ+0pygmJoZZs2bh7+/v1B3QFUJCQjhw4ECc9fv373dc/7CKFSvGqlWrqFOnTrILQPvjJ5QxZ86cDzTUckrssSpWrBjXrl1LUuH7IC5dusQvv/zC8OHDeeeddxzrE+oeBuY8XF5eXo6T3O0nWqdE3tKlS3P06NEErz906JDTXvnDhw8TGxvrGERh8eLFREVFsWjRIqc9jAl1O61ZsyY1a9bkgw8+YNasWXTt2pUffviB559/PsmvKfvr59ChQ05Hgs+dO5ekQjIkJIRVq1Zx9epVp6NfKfn+eBDdu3fniSeeYOvWrcycOZPKlSvHO6iP/WjH3a93+6Tvd89vlyNHDnr16kWvXr24du0a9evXZ9iwYTz//PNJfg/6+fnh5+fnNDrj3TmSat68efj5+bFixQqnYd+nTp0a7/bxvR8OHjyIv79/ihThxYoVcxotMDm3i42NZd++fVSqVCnB7bJnzx5n1L1bt25x6tSpZD1ep06dmDZtGr/88gt//fUXhmE4FSH217+3t/cDfQYk9+9yP7ly5SJTpkzx/v3ie60lpGPHjnz++edcuXKF2bNnU7hwYUfXbHD+H3L3Z8CtW7c4evRoom1hP/Jx798nJY+W2T3M57O9e+eePXsSLKB3797NwYMHmTZtmtOgWfeOaprQ/bvytZycbEn9350rVy78/f0T/Nzy8PAgODg4Sfd1r/DwcG7duuU0SJckj7odSoqJiYmhU6dObNy4kTlz5lCrVq0Huo8BAwbw119/MWDAgDhdx1Jay5Yt2bJlCxs3bnSsu379OpMnT6Zw4cIp0s2gY8eOxMTEMGLEiDjX3b59O9HhfvPly0elSpWYNm2a03Z79uxh5cqVtGzZ8oEy2Qu2+w01nJiOHTuyceNGVqxYEee6y5cvc/v27Qe+b7izF+7evW6JjXpls9mYPHkyTz31FD169HAaQvph89aqVYs9e/Y4df+7m30IYLuxY8cCOM73ie/5RERExPnydunSpTjP2f4P3/7YSX1NNWnSBG9vb8aOHet0n0kdibJly5bExMQwbtw4p/WfffYZNpstwXOZXO3xxx8nZ86cjB49mjVr1iR41OvkyZNO535euXKF6dOnU6lSJfLmzQsQZ9qCLFmyULx4cUdbJ/U9aD8Cv3DhQk6ePOnY7vDhw3HOjUuMp6cnNpvNaW/5sWPHWLhwYbzbb9y40emco3/++YeffvqJZs2aJbu7d3xCQ0PZuXNnnHNoIfGjOO3atcPDw4P33nsvzp77u29XrFixOOfzTJ48+b5HC+7VpEkTcuTIwezZs5k9ezbVq1d32hmSO3duGjZsyJdffhnvl+H4htS+W3L/Lvfj6elJ8+bNWbhwISdOnHCs/+uvv+L9jEpIp06diIqKYtq0aSxfvtzp3Cow28XHx4cvvvjCqd2nTJlCREREoqMJh4SE4OnpGefvM2HChCTnS6qH+Xxu1qwZWbNmZdSoUXGm97A/5/g+fw3D4PPPP79vNle/lpOTLan/uz09PWnWrBk//fSTU9f3M2fOMGvWLOrWrfvA36+2b98OmNMLyYPRkS9JMYMHD2bRokW0adOGixcvxplU+d4vSBEREY5tIiMjOXz4MPPnz+fIkSN07tw53i+WKe2NN97g+++/5/HHH2fAgAHkyJGDadOmcfToUebNmxfn5NoH0aBBA/r06cOoUaP4888/adasGd7e3hw6dIg5c+bw+eef89RTTyV4+//97388/vjj1KpVi+eee84xzHVgYGC8c4okRaVKlfD09GT06NFERETg6+vrmH8qqYYMGcKiRYto3bq1Yxj669evs3v3bubOncuxY8fu2y3h3LlzvP/++3HWFylShK5duzqGLI6OjqZAgQKsXLky0aNPYM7zNmPGDNq1a0fHjh1ZunQpjz322EPnfeKJJxgxYgRr1qyJd2jho0eP0rZtW1q0aMHGjRuZMWMGXbp04ZFHHgHMLwg+Pj60adOGPn36cO3aNb766ity587t9GVw2rRpTJgwgfbt21OsWDGuXr3KV199RUBAgOOLflJfU7ly5eK1115j1KhRtG7dmpYtW/LHH3+wbNmyJHUZadOmDY0aNeI///kPx44d45FHHmHlypX89NNPvPrqq04DCqQmb29vOnfuzLhx4xxTU8SnZMmSPPfcc2zdupU8efLwzTffcObMGaeCt2zZsjRs2JAqVaqQI0cOtm3bxty5c52Gsk/qe3DYsGGsXLmSOnXq8NJLLzkK1/Llyyd5TpxWrVrx6aef0qJFC7p06cLZs2cZP348xYsXdzoXza58+fI0b97caah5MIfGTglDhgxh7ty5dOjQgWeffZYqVapw8eJFFi1axKRJkxyv73sVL16c//znP4wYMYJ69erx5JNP4uvry9atW8mfPz+jRo0CzAEaXnzxRUJDQ2natCk7d+5kxYoVye7S5O3tzZNPPskPP/zA9evX+fjjj+NsM378eOrWrUuFChXo3bs3RYsW5cyZM2zcuJF///2XnTt3Jnj/yf27JMXw4cNZvnw59erVo2/fvty+fZuxY8dSrly5JN/no48+6mjrqKioOF0Oc+XKxZtvvsnw4cNp0aIFbdu25cCBA0yYMIFq1aol2l03MDCQDh06MHbsWGw2G8WKFWPJkiUpcj7vvR7m8zkgIIDPPvuM559/nmrVqtGlSxeyZ8/Ozp07iYyMZNq0aZQuXZpixYrx2muvER4eTkBAAPPmzUtSDwBXv5aTk80+uM6AAQNo3rw5np6edO7cOd77ff/99wkLC6Nu3br07dsXLy8vvvzyS6Kiovjoo4/u+7wTEhYWRqFChTTM/MNInUEVJSNo0KCBY+jj+H4S2zZLlixGiRIljGeeecZYuXJlkh/TPtT8/YSEhCQ4nPSRI0eMp556ysiWLZvh5+dnVK9e3ViyZEmc7XjAoebtJk+ebFSpUsXIlCmTkTVrVqNChQrG66+/bpw8efK++VetWmXUqVPHyJQpkxEQEGC0adPG2LdvX7xZkjLUvGEYxldffWUULVrUMayx/Tkk1FYNGjQwGjRo4LTu6tWrxptvvmkUL17c8PHxMXLmzGnUrl3b+Pjjj41bt24l+viJvV4aN25sGIZh/Pvvv0b79u2NbNmyGYGBgUaHDh2MkydPxhlS9+6h5u0iIyONBg0aGFmyZDE2bdr00HkNwzAqVqxoPPfcc07r7I+9b98+46mnnjKyZs1qZM+e3ejXr1+cYY8XLVpkVKxY0fDz8zMKFy5sjB492vjmm28MwDh69KhhGIaxY8cO4+mnnzYKFSpk+Pr6Grlz5zZat27tNJy4XVJeUzExMcbw4cONfPnyGZkyZTIaNmxo7NmzJ87wxwm5evWqMXDgQCN//vyGt7e3UaJECeN///tfnGHG43t/GEbcYZbjk9BrN74hre22bNliAEazZs3ivU/763jFihVGxYoVDV9fX6N06dJxHuP99983qlevbmTLls3IlCmTUbp0aeODDz6I83pIynvQMAzjl19+MSpXrmz4+PgYxYoVM77++mtj8ODBhp+fn9N2CbWXYRjGlClTjBIlSjgyT506Nc7w13ffx4wZMxzbV65cOc7Q4PG9PwzjzhDT9teevd3u/XtduHDB6Nevn1GgQAHDx8fHKFiwoNGjRw/j/Pnz8ea/2zfffGNUrlzZ8PX1NbJnz240aNDACAsLc1wfExNjDB061MiZM6fh7+9vNG/e3Dh8+HCCQ80nNgVDWFiYARg2m834559/4t3myJEjRvfu3Y28efMa3t7eRoECBYzWrVsbc+fOve9zSe7f5V7xte2aNWuMKlWqGD4+PkbRokWNSZMmxXufifnPf/5jAEbx4sUT3GbcuHFG6dKlDW9vbyNPnjzGSy+9ZFy6dMlpm/j+d507d84IDQ01/P39jezZsxt9+vQx9uzZE+9Q8/H9L05oSpH4/s887OfzokWLjNq1azveo9WrVze+//57x/X79u0zmjRpYmTJksXImTOn0bt3b8cUAHc/l4TaP6Vey/F9b0hqttu3bxv9+/c3cuXKZdhsNqec9/5fNAzz/0nz5s2NLFmyGP7+/kajRo2MDRs2OG2T0HsrvpwxMTFGvnz5jP/+97/x/QkkiWyG4YZn2oqIuKHvvvuOl19+mRMnTjiGhBdr7Ny5k0qVKjF9+nS6desW5/rChQtTvnx5lixZYkE6Z+3atUt0OPsHZbPZePnll+N0CxURcYWFCxfSpUsXjhw5Qr58+ayOk2bpnC8RkSTq2rUrhQoVinN+l6S+r776iixZsvDkk09aHcXJjRs3nH4/dOgQS5cupWHDhtYEEhFJIaNHj6Zfv34qvB6SzvkSEUkiDw+PBxr5TVLO4sWL2bdvH5MnT6Zfv34PNNqnKxUtWpSePXs65lCaOHEiPj4+CQ6hLSKSVtw9OJk8OBVfIiKSZvTv358zZ87QsmXLFBtUIiW1aNGC77//ntOnT+Pr60utWrUYOXJkvJPpiohIxqNzvkRERERERFKBzvkSERERERFJBSq+REREREREUoHO+XpAsbGxnDx5kqxZs2Kz2ayOIyIiIiIiFjEMg6tXr5I/f348PBI+vqXi6wGdPHmS4OBgq2OIiIiIiIib+OeffyhYsGCC16v4ekBZs2YFzAYOCAiwOE38oqOjWblyJc2aNcPb29vqOOmK2tY11K6uo7Z1DbWr66htXUPt6jpqW9dJC2175coVgoODHTVCQiwvvsLDwxk6dCjLli0jMjKS4sWLM3XqVKpWrRpn2xdffJEvv/ySzz77jFdffRWAY8eOMWLECFavXs3p06fJnz8/zzzzDP/5z3/w8fFJ8HEbNmzImjVrnNb16dOHSZMmJSm3vathQECAWxdf/v7+BAQEuO0LNa1S27qG2tV11LauoXZ1HbWta6hdXUdt6zppqW3vdzqSpcXXpUuXqFOnDo0aNWLZsmXkypWLQ4cOkT179jjbLliwgE2bNpE/f36n9fv37yc2NpYvv/yS4sWLs2fPHnr37s3169f5+OOPE3383r1789577zl+9/f3T5knJiIiIiIicg9Li6/Ro0cTHBzM1KlTHeuKFCkSZ7vw8HD69+/PihUraNWqldN1LVq0oEWLFo7fixYtyoEDB5g4ceJ9iy9/f3/y5s37kM9CRERERETk/iwtvhYtWkTz5s3p0KEDa9asoUCBAvTt25fevXs7tomNjaVbt24MGTKEcuXKJel+IyIiyJEjx323mzlzJjNmzCBv3ry0adOGt99+O8GjX1FRUURFRTl+v3LlCmAeBo2Ojk5SrtRmz+Wu+dIyta1rqF1dR23rGmpX11Hbuoba1XXUtq6TFto2qdlshmEYLs6SID8/PwAGDRpEhw4d2Lp1K6+88gqTJk2iR48eAIwaNYpff/2VFStWYLPZKFy4MK+++qrjnK97HT58mCpVqvDxxx87FXH3mjx5MiEhIeTPn59du3YxdOhQqlevzvz58+PdftiwYQwfPjzO+lmzZqm7ooiIiIhIBhYZGUmXLl2IiIhIdDwIS4svHx8fqlatyoYNGxzrBgwYwNatW9m4cSPbt2+nVatW7Nixw3GuV2LFV3h4OA0aNKBhw4Z8/fXXycqyevVqGjduzOHDhylWrFic6+M78hUcHMz58+fdesCNsLAwmjZt6vYnJ6Y1alvXULu6jtrWNdSurqO2dQ21q+uobV0nLbTtlStXyJkz532LL0u7HebLl4+yZcs6rStTpgzz5s0DYN26dZw9e5ZChQo5ro+JiWHw4MGMGTOGY8eOOdafPHmSRo0aUbt2bSZPnpzsLDVq1ABIsPjy9fXF19c3znpvb2+3fRHYpYWMaZXa1jXUrq6jtnUNtavrqG1dQ+3qOmpb13Hntk1qLkuLrzp16nDgwAGndQcPHiQkJASAbt260aRJE6frmzdvTrdu3ejVq5djXXh4OI0aNaJKlSpMnTo10VmlE/Lnn38CZkEoIiIiIiKS0iwtvgYOHEjt2rUZOXIkHTt2ZMuWLUyePNlx5CooKIigoCCn23h7e5M3b15KlSoFmIVXw4YNCQkJ4eOPP+bcuXOObe0jGYaHh9O4cWOmT59O9erVOXLkCLNmzaJly5YEBQWxa9cuBg4cSP369alYsWIqPXsREREREclILC2+qlWrxoIFC3jzzTd57733KFKkCGPGjKFr165Jvo+wsDAOHz7M4cOHKViwoNN19tPZoqOjOXDgAJGRkYB5rtmqVasYM2YM169fJzg4mNDQUP773/+m3JMTERERERG5i6XFF0Dr1q1p3bp1kre/+zwvgJ49e9KzZ89Eb1O4cGHuHlckODiYNWvWJCemiIiIiIjIQ0n+yVEiIiIiIiKSbCq+REREREREUoGKLxERERERkVSg4ktERERERCQVqPgSERERERFJBSq+REREREREUoGKr3Rg+3b45hurU4iIiIiIpI6TJ2HcOLh82eokyWP5PF/ycHbtgqpVwccHypeH7NnvXBcTY14eOQKentbkS6/Utq6hdnUdta1rqF1dR23rGmpX11Hbuk58bTt+PHz+OcydC7/9Zlm0ZFPxlcZVqACPPAI7d8KIEdCw4Z3rbDYoVgyWLoW75piWFKC2dQ21q+uobV1D7eo6alvXULu6jtrWde5t29hYmDbNvK5JE2uzJZeKrzTOZoMXX4SXXoItW6B3b3MdmC9Ow4Dixe+sk5ShtnUNtavrqG1dQ+3qOmpb11C7uo7a1nXubdvt283uhv7+0K2b1emSR+d8pQNdupgvvrNnYccOq9OIiIiIiLjO8uXmZZMmUKiQtVmSS8VXOhAQAE8/bS4vXWptFhERERERV7lwAbZuNZdffDHtHWVU8ZVO9OljXv7xB1y6ZG0WERERERFXCAszz/kqWRIee8zqNMmn4iudqFoVKlaE27dh2TKr04iIiIiIpKyYGLP4AvO0G19fa/M8CBVf6YTNZg66AbB6tUbZEREREZH05c8/bZw7Z4510KuX1WkejIqvdKRLF8iUSQNviIiIiEj6s2KFWbo0bQrBwRaHeUAqvtKRuwfe+Plna7OIiIiIiKSUCxf82LrVHF2jT5+0N9CGnYqvdObFF83LP/805z8QEREREUnrVq0qRGysLc0OtGGn4iudcR54Q39eEREREUnbYmJg1aoQALp2TZsDbdjp23k6c/fAG7/+6qGBN0REREQkTTMH2vDH399IswNt2Kn4SofsA2+cOWNj374cVscREREREXlgdwbaiKVgQYvDPCQVX+nQ3QNvrFxZ2NIsIiIiIiIP6sIFHANt9O4dm2YH2rBT8ZVO2Qfe2LAhvwbeEBEREZE0KSwMYmNtlClzgYYNrU7z8FR8pVPmwBsG0dGeGnhDRERERNKcmBiz+AJo3vwYPj7W5kkJ+laeTtls5qFZ0MAbIiIiIpL2/PknnDsH/v4GtWqdtDpOilDxlY49/XQsvr63OXPGxo4dVqcREREREUm65cvNyyZNYvH1jbU2TApR8ZWOBQRAvXrhAPz8s8VhRERERESSyBxow1x+4YX0UXiBiq90r3nzY4B52PbSJUujiIiIiIgkiTnQBpQsSboYaMNOxVc6V7z4ZSpUMLh9G5YtszqNiIiIiEji7h5o4+mnSRcDbdip+ErnbLY7h2pXr0YDb4iIiIiIW7sz0Ab06mV1mpSl4isDePrpWPz84OxZ2LvX6jQiIiIiIglbvdq8bNwYChWyNktKU/GVAQQEwBNPmMv2Q7giIiIiIu4mMhI2bzaXu3c3e3GlJyq+Mohu3czLrVvh9m1rs4iIiIiIxGfjRrh1C/LmhebNrU6T8lR8ZRDNmkFQEFy7dmdvgoiIiIiIO1mzxrxs0QKyZrU2iyuo+MogvL2hUydz+ZdfrM0iIiIiInKvCxdg1y5zuUcPa7O4ioqvDMTe9XDXLrM/rYiIiIiIu1i3zpzbq3hxqFXL6jSuoeIrA6lRA4oUMfvR/vab1WlERERERO6wdzl84gnw9bU2i6uo+MpAbLY7R79UfImIiIiIuzhxAo4cAQ+P9NvlEFR8ZThdu5qXBw/C+fPWZhERERERgTtHvSpVgjJlLI3iUiq+MpiSJaFqVbM/reb8EhERERGrxcbeKb46dAAvL2vzuJKKrwzI3vVw/Xprc4iIiIiI7N8PZ8+Cnx88/bTVaVxLxVcG1KkTeHrCP//AsWNWpxERERGRjMw+FkGtWlCokKVRXE7FVwaUJw80bWour1hhbRYRERERybiio+/0xurSxRwgLj1T8ZVBPfOMeblpExiGtVlEREREJGPavh2uXYPAQGjXzuo0rqfiK4Nq1w78/Z1nEhcRERERSU32LoePPQY5c1oaJVWo+MqgMmeG9u3N5VWrrM0iIiIiIhnP9euwdau53L27tVlSi4qvDMze9XDbNrO/rYiIiIhIatmwwfwOmi8fNGlidZrUoeIrA2vSBHLlMvc6bNxodRoRERERyUjsXQ5btoQsWSyNkmpUfGVgXl535lJYvdraLCIiIiKScZw/D3v2mMs9elibJTWp+Mrg7BMu795tHgETEREREXG1tWvNEbdLlYJq1axOk3pUfGVwVapA8eJmf1sd/RIRERGR1GDvcti2Lfj5WRolVVlefIWHh/PMM88QFBREpkyZqFChAtu2bYt32xdffBGbzcaYMWOc1l+8eJGuXbsSEBBAtmzZeO6557h27Vqij3vz5k1efvllgoKCyJIlC6GhoZw5cyalnlaaYbPdGV1mzRprs4iIiIhI+nf0KBw7Bp6ed3phZRSWFl+XLl2iTp06eHt7s2zZMvbt28cnn3xC9uzZ42y7YMECNm3aRP78+eNc17VrV/bu3UtYWBhLlixh7dq1vPDCC4k+9sCBA1m8eDFz5sxhzZo1nDx5kieffDLFnlta0rWreXnoEJw7Z20WEREREUnf7Dv8K1eG0qWtzZLavKx88NGjRxMcHMzUqVMd64oUKRJnu/DwcPr378+KFSto1aqV03V//fUXy5cvZ+vWrVStWhWAsWPH0rJlSz7++ON4i7WIiAimTJnCrFmzeOyxxwCYOnUqZcqUYdOmTdSsWTMln6bbK1oUatSAzZshLAy6dLE6kYiIiIikR7Gx5vleAKGh4O1tbZ7UZmnxtWjRIpo3b06HDh1Ys2YNBQoUoG/fvvTu3duxTWxsLN26dWPIkCGUK1cuzn1s3LiRbNmyOQovgCZNmuDh4cHmzZtpb59J+C7bt28nOjqaJndNKFC6dGkKFSrExo0b4y2+oqKiiIqKcvx+5coVAKKjo4l200my7LmSkq9rVw82b/Zk/XqDp5++7epoaZ5hRDtdSspQu7qO2tY11K6uo7Z1DbWr66htk2bPHhvnz3uRKZPBU0/dTtJcs8n5TmuVpGaztPj6+++/mThxIoMGDeKtt95i69atDBgwAB8fH3r8/5iTo0ePxsvLiwEDBsR7H6dPnyZ37txO67y8vMiRIwenT59O8DY+Pj5ky5bNaX2ePHkSvM2oUaMYPnx4nPUrV67E39//fk/VUmFhYffdJls2Hzw9m/Pvvx6cOLGW4ODEz5kTuzAMw+oM6ZHa1XXUtq6hdnUdta1rqF1dR22bmN9+qwSEULfucfbu3cnevUm/bVK+01olMjIySdtZWnzFxsZStWpVRo4cCUDlypXZs2cPkyZNokePHmzfvp3PP/+cHTt2YLPZrIzKm2++yaBBgxy/X7lyheDgYJo1a0ZAQICFyRIWHR1NWFgYTZs2xTsJx3S//x6WLYNlyxrSp09sKiRMu8y9WmFAU2y2DHa83IXUrq6jtnUNtavrqG1dQ+3qOmrb+7t1CzZsMMuPDh0K0rJlgSTdLrnfaa1g7xV3P5YWX/ny5aNs2bJO68qUKcO8efMAWLduHWfPnqVQoUKO62NiYhg8eDBjxozh2LFj5M2bl7Nnzzrdx+3bt7l48SJ58+aN93Hz5s3LrVu3uHz5stPRrzNnziR4G19fX3x9feOs9/b2dtsXgV1SM/boYRZfGzd68sILnnhYPhamezMMsNm89QGbwtSurqO2dQ21q+uobV1D7eo6atvEbd8OkZGQLRu0a+eV7PO93Pl7d1JzWfr1uk6dOhw4cMBp3cGDBwkJCQGgW7du7Nq1iz///NPxkz9/foYMGcKKFSsAqFWrFpcvX2b79u2O+1i9ejWxsbHUqFEj3setUqUK3t7e/PLLL451Bw4c4MSJE9SqVSuln2aa0aYNZMkCly7Bzp1WpxERERGR9MQ+t1fjxpAzp6VRLGPpka+BAwdSu3ZtRo4cSceOHdmyZQuTJ09m8uTJAAQFBREUFOR0G29vb/LmzUupUqUA80hZixYt6N27N5MmTSI6Opp+/frRuXNnx0iH4eHhNG7cmOnTp1O9enUCAwN57rnnGDRoEDly5CAgIID+/ftTq1atDDfS4d38/c1RZ6ZNg1WrzOE/RUREREQe1tWrYJ/Kt3t3c67ZjMjSI1/VqlVjwYIFfP/995QvX54RI0YwZswYutonnkqimTNnUrp0aRo3bkzLli2pW7euo4ADs5/ogQMHnE6E++yzz2jdujWhoaHUr1+fvHnzMn/+/BR7bmnVM8+Yl9u2mf1yRUREREQe1u+/w+3bULAg/P9MTxmSpUe+AFq3bk3r1q2TvP2xY8firMuRIwezZs1K8DaFCxfGuGfYGT8/P8aPH8/48eOT/NgZQaNGkCcPnDljvkkaNbI6kYiIiIikdfYuhy1bmqe5ZFQaUkGceHqC/cDjr79am0VERERE0r6zZ2HfPrOr4f/PJpVhqfiSOOxdD/fsMfvnioiIiIg8qDVrzMvSpaFKFWuzWE3Fl8RRqZL55rh9G+4aEFJEREREJFkM406Xw/btIZ6ZmzIUFV8Sh81mjkIDsHattVlEREREJO36+2/45x/w8rrTuyojU/El8erSxbw8cgROn7Y2i4iIiIikTfYuh1WqQMmS1mZxByq+JF4hIVCnjnmoeOVKq9OIiIiISFoTE3OnF1WnTubAbhmdii9JkL3r4e+/W5tDRERERNKe3bvh4kXInBk6drQ6jXtQ8SUJ6tABfHzg1Ck4eNDqNCIiIiKSlti7HNarB/nzW5vFXaj4kgRlzw6PP24uh4VZm0VERERE0o6oKNiwwVzu0sUc0E1UfMl9dOtmXm7eDLGx1mYRERERkbRhyxa4cQOCgqBNG6vTuA8VX5KoVq0gIAAuX4bt261OIyIiIiJpgb3LYbNmkC2bpVHcioovSZSfHzz1lLmsCZdFRERE5H6uXLmz097ei0pMKr7kvuxvmh074NYta7OIiIiIiHtbv94cZj4kBBo2tDqNe1HxJfdVv745Qs3Nm7BundVpRERERMSd2ef2atUKMmWyNou7UfEl9+XhAZ07m8v2N5OIiIiIyL3OnYN9+8zRDe1zxsodKr4kSZ5+2rzcsweuXbM2i4iIiIi4p/XrzcuSJeHRR63N4o5UfEmSVKkCxYpBdDT89pvVaURERETEHdl7ST3xBHh7W5vFHan4kiSx2e4c/bLv0RARERERsQsPhyNHzFNWNMph/FR8SZLZi68DB+DSJWuziIiIiIh7sQ/MVqEClCljbRZ3peJLkqxsWfPNFBMDq1dbnUZERERE3IVh3Oly+OST4OlpbR53peJLksV+9GvDBmtziIiIiIj7OHYM/v0XvLyga1er07gvFV+SLPYh5w8fhrNnrc0iIiIiIu7BftSrShUoUsTaLO5MxZckS5EiUL26eWg5LMzqNCIiIiJiNcO4c77XU0+ZA25I/NQ0kmxdupiXmzZZm0NERERErHfggNkjytcXOnWyOo17U/Elydaxozn0/PHj8M8/VqcRERERESvZuxzWrAkFC1qbxd2p+JJky5cPGjQwl1etsjaLiIiIiFgnJubOHLD2HfSSMBVf8kDU9VBEREREdu+Gy5chc2ZziHlJnIoveSChoeZQoqdOmSMfioiIiEjGYx9oo25dyJPH2ixpgYoveSA5ckCzZuayuh6KiIiIZDzR0Xfmfu3USV0Ok0LFlzwwe9fDLVvMIUZFREREJOPYsQOuX4fAQGjb1uo0aYOKL3lgTzwBfn5w/jzs3Wt1GhERERFJTfZRDhs0gKAga7OkFSq+5IFlyXJnL4e6HoqIiIhkHDduwObN5vIzz1ibJS1R8SUPpWtX83LrVnOoURERERFJ/zZvhlu3IHfuO+MAyP2p+JKH0qIFZMsGV6/C9u1WpxERERGR1GDvctikiXnOlySNii95KD4+8NRT5vLq1dZmERERERHXi4gwB9sAdTlMLhVf8tDsXQ937DCHHBURERGR9Ov33yE2FgoVMuf3kqRT8SUPrV49yJcPbt4034wiIiIikn7Zuxw2bw5Zs1qbJa1R8SUPzdMTnn7aXP71V2uziIiIiIjrnD0L+/aZEyqry2HyqfiSFGHverh7N0RGWptFRERERFxj3TrzsmRJePRRa7OkRSq+JEVUrgzFi8Pt2/Dbb1anERERERFXWLPGvHz8cXPOV0keFV+SImw26NbNXLa/KUVEREQk/Th+HI4dM085sfd6kuRR8SUppksX8/LAAbh0ydosIiIiIpKy7ANtVKgAZcpYmyWtUvElKaZ4cbPvb2ys5vwSERERSU8M407vptatIXNma/OkVSq+JEWp66GIiIhI+rN/vznSoa8vdOxodZq0S8WXpKhOncDDw+wPfPKk1WlEREREJCXYd6w/+iiUKGFtlrRMxZekqHz5oH59czkszNosIiIiIvLwbt+G3383l0NDwc/P2jxpmYovSXHdu5uX69eb/YNFREREJO3auRMiIsyh5du3tzpN2qbiS1Lck0+Cjw+cOQOHD1udRkREREQehn2Uw1q1oFAha7OkdSq+JMUFBpoT74G6HoqIiIikZVFRsGmTudy5M3h5WZsnrVPxJS5hH/Vw0yZz6HkRERERSXu2boUbNyAoCFq1sjpN2qfiS1yiZUvImhUuX4Zdu6xOIyIiIiIPwj7KYYMGkDu3tVnSA8uLr/DwcJ555hmCgoLIlCkTFSpUYNu2bY7rhw0bRunSpcmcOTPZs2enSZMmbN682XH9b7/9hs1mi/dn69atCT5uw4YN42z/4osvuvS5ZiSZMt05IXPVKmuziIiIiEjyXbsG27eby926gc1mbZ70wNLi69KlS9SpUwdvb2+WLVvGvn37+OSTT8iePbtjm5IlSzJu3Dh2797N+vXrKVy4MM2aNePcuXMA1K5dm1OnTjn9PP/88xQpUoSqVasm+vi9e/d2ut1HH33k0ueb0TzzjHm5bRtER1ubRURERESSZ8MGc5j5AgWgYUOr06QPlp4yN3r0aIKDg5k6dapjXZEiRZy26dKli9Pvn376KVOmTGHXrl00btwYHx8f8ubN67g+Ojqan376if79+2O7T3nu7+/vdFtJWY0aQa5ccO4cbN4MdetanUhEREREksre5bBZM8iWzdIo6YalxdeiRYto3rw5HTp0YM2aNRQoUIC+ffvSu3fveLe/desWkydPJjAwkEceeSTB+7xw4QK9evW67+PPnDmTGTNmkDdvXtq0acPbb7+Nv79/vNtGRUURFRXl+P3KlSuAWexFu+lhHXsuK/N16uTBuHGerF4dS506MZblSGmGEe10KSlD7eo6alvXULu6jtrWNdSurpPe2vbCBdizxwuw0bVrtKW9mNzhO+39JDWbpcXX33//zcSJExk0aBBvvfUWW7duZcCAAfj4+NCjRw/HdkuWLKFz585ERkaSL18+wsLCyJkzZ7z3OWXKFJo3b07BggUTfewuXboQEhJC/vz52bVrF0OHDuXAgQPMnz8/3u1HjRrF8OHD46xfuXJlggWbuwizcLz3QoWyAQ3YvTuWGzdW4OeXfgowU5gmknYJtavrqG1dQ+3qOmpb11C7uk76aNt164phGOUpU+YC166tZ+lSqxNZ+532fiIjI5O0nc0wrHt5+Pj4ULVqVTZs2OBYN2DAALZu3crGjRsd665fv86pU6c4f/48X331FatXr2bz5s3kvmfIlX///ZeQkBB+/PFHQkNDk5Vl9erVNG7cmMOHD1OsWLE418d35Cs4OJjz588TEBCQrMdKLdHR0YSFhdG0aVO8vb0tyWAYUKqUF8eO2ejb9zbNm6eDTyPse7XCgKbYbNa0bXqkdnUdta1rqF1dR23rGmpX10lvbTtokCdHjnjw6qsxfPSRtfMGucN32vu5cuUKOXPmJCIiItHawNIjX/ny5aNs2bJO68qUKcO8efOc1mXOnJnixYtTvHhxatasSYkSJZgyZQpvvvmm03ZTp04lKCiItm3bJjtLjRo1ABIsvnx9ffH19Y2z3tvb221fBHZWZ+zWDUaMgDVrvGjRwrIYKc4wwGbzThcfsO5E7eo6alvXULu6jtrWNdSurpNe2vbff+HIEfDwgG7dPPH29rQ6EmD9d9rEJDWXpaMd1qlThwMHDjitO3jwICEhIYneLjY21ukoFIBhGEydOpXu3bs/0B/lzz//BMyCUFLW00+bl3/9BZcuWZtFRERERBK3dq15WaEClC9vbZb0xtLia+DAgWzatImRI0dy+PBhZs2axeTJk3n55ZcBs7vhW2+9xaZNmzh+/Djbt2/n2WefJTw8nA4dOjjd1+rVqzl69CjPP/98nMcJDw+ndOnSbNmyBYAjR44wYsQItm/fzrFjx1i0aBHdu3enfv36VKxY0fVPPIMpUwYeeQRiY+GXX6xOIyIiIiIJMYw7oxy2bw8+PtbmSW8sLb6qVavGggUL+P777ylfvjwjRoxgzJgxdO3aFQBPT0/2799PaGgoJUuWpE2bNly4cIF169ZRrlw5p/uaMmUKtWvXpnTp0nEeJzo6mgMHDjhOhPPx8WHVqlU0a9aM0qVLM3jwYEJDQ1m8eLHrn3QGZZ/za/16a3OIiIiISMIOH4ZTp8DbG+6Z8UlSgKXnfAG0bt2a1q1bx3udn59fgqMP3mvWrFkJXle4cGHuHlckODiYNfaSXlJF587w+uvw99/mG1q9O0VERETcj/0rcrVqULSotVnSI0uPfEnGUbDgnUmWV660NouIiIiIxBUTA+vWmcsdOoCne4yzka6o+JJUY+96eNfMAiIiIiLiJvbsMQdH8/c3iy9JeSq+JNWEhpr9h0+dMvsTi4iIiIj7sHc5rFMH8ue3Nkt6peJLUk1QEDRvbi678QTlIiIiIhnOrVuwcaO53KUL2GzW5kmvVHxJqvr/gSzZvNkcylRERERErLd9O1y/DtmzQ9u2VqdJv1R8Sapq2xYyZ4aLF+H/p10TEREREYvZB0R77DHIkcPaLOmZii9JVf7+0KuXuTxvnrVZRERERASOHTOPfNls8NJLVqdJ31R8SaobNAg8PGD/fjhwwOo0IiIiIhnbggXmZY0aUL++tVnSOxVfkuqKFDFHPgSYM8faLCIiIiIZ2YULd+b2euUVc2RqcR0VX2KJ1183L7dtgzNnrM0iIiIiklEtWQK3b0OpUvDEE1anSf9UfIklqlaFevUgNlZHv0RERESsEBkJy5eby336QKZM1ubJCFR8iWWGDDEv166Fa9eszSIiIiKS0axaZQ4vnzfvnQHRxLVUfIllWrWCEiXg5k1YtMjqNCIiIiIZR0zMne9f3bpBtmyWxskwVHyJZTw87hz9Wr7c/BAQEREREdfbsAHOnoUsWaBfP6vTZBwqvsRS3bpBzpxw+TKEhVmdRkRERCT9MwxYuNBcbt8eChWyNE6GouJLLOXnB/37m8uLFpkfBiIiIiLiOnv3wqFD5rDygwdbnSZjUfElluvbF3x94d9/zdnVRURERMR17Ee9GjeGChUsjZLhqPgSy+XMCT17msvz5lkaRURERCRd+/df2LIFbDbzqJeHqoFUpeYWtzBokPkhsHcv/P231WlERERE0qeffjIvq1SBBg2szZIRqfgSt1CyJLRpYy5r0mURERGRlHf5MqxebS4PGGCe8yWpS8WXuA37sPObN8OFC9ZmEREREUlvli6F6GgoWhRCQ61OkzGp+BK3UacOVKsGt2/r3C8RERGRlBQVZRZfAC+8AP7+1ubJqFR8iduw2eD1183l1avh5k1r84iIiIikF6tXw5Ur5kBnzz1ndZqMS8WXuJX27SEkBCIjYckSq9OIiIiIpH2xsXcG2nj6abMAE2uo+BK34ul5Z7K/pUshJsbaPCIiIiJp3ZYtcPIkZMoEr7xidZqMTcWXuJ1evSBbNjh/HtautTqNiIiISNpmn1S5TRtzsA2xjoovcTtZssCLL5rL9g8LEREREUm+Awdg3z6zd5F9XlWxjoovcUv2uSeOHoU9e6xOIyIiIpI22c/1qlcPqla1Nouo+BI3lS+feUIowIIF1mYRERERSYvOn4cNG8zlV181j36JtVR8idsaMMC83LEDzp2zNouIiIhIWrN8uTnSYenS0Ly51WkEVHyJG6tSBapXN0c8tB8yFxEREZH7i46GFSvM5V69wM/P2jxiUvElbs0+HOqvv8KtW9ZmEREREUkr1q+HiAjInl2TKrsTFV/i1p56CvLkgatXzZnZRUREROT+liwxL598EoKCrM0id6j4Erfm43Nn2PmlS63NIiIiIpIWHDgAhw6Blxf07291Grmbii9xe336mB8ex47BX39ZnUZERETEvf38s3lZty5UqGBtFnGm4kvcXr58EBpqLmvgDREREZGERUSY53sB9O0LHvq271b055A04eWXzcutW+HKFWuziIiIiLirVavg9m0oUgRatbI6jdxLxZekCXXrQpky5rCpy5ZZnUZERETE/cTG3hle/umnwd/f2jwSl4ovSRNsNvPQOZh7dAzD2jwiIiIi7ubPP+H0aciUCZ5/3uo0Eh8VX5JmdOtmfpicOQM7dlidRkRERMS92HsHNW0KhQtbGkUSoOJL0ozAQOjSxVxevNjaLCIiIiLu5Nw589x4gJdeMnsNiftR8SVpyksvmZc7d8KFC9ZmEREREXEXYWHmOV9lysBjj1mdRhKi4kvSlCpVzJ+YGB39EhEREQFzdEP7QBvduoGPj7V5JGEqviTNsQ87/9tv5h4eERERkYxsyxa4dAmyZoVevaxOI4lR8SVpTqdO5vlfFy/C779bnUZERETEWvaBNlq2hLx5rc0iiVPxJWmOvz/06GEua84vERERychOnjTPhbfZoF8/q9PI/aj4kjTJPvDG3r3mh46IiIhIRrR8uXlZqRLUqGFpFEkCFV+SJpUuDQ0amJMta+ANERERyYiiouCXX8zlXr3A29vaPHJ/Kr4kzerb17xcuxaio63NIiIiIpLaNmyAq1chRw7o2tXqNJIUKr4kzWrXDnLnNj901qyxOo2IiIhI6rKf+96unVmAiftT8SVplo8PPP+8uayBN0RERCQjOXoU9u8HD48758KL+0t28XX06FGmT5/OiBEjePPNN/n000/59ddfuXnz5gMFCA8P55lnniEoKIhMmTJRoUIFtm3b5rh+2LBhlC5dmsyZM5M9e3aaNGnC5s2bne6jcOHC2Gw2p58PP/ww0ce9efMmL7/8MkFBQWTJkoXQ0FDOnDnzQM9BrNO7tzm6z6FDcOyY1WlEREREUod9x3P16lC5srVZJOmSXHzNnDmT6tWrU6xYMYYOHcrChQtZt24dX3/9NS1atCBPnjz07duX48ePJ/nBL126RJ06dfD29mbZsmXs27ePTz75hOzZszu2KVmyJOPGjWP37t2sX7+ewoUL06xZM86dO+d0X++99x6nTp1y/PTv3z/Rxx44cCCLFy9mzpw5rFmzhpMnT/Lkk08mObu4h8KF4fHHzeWffrI0ioiIiEiqiIyE334zl3v3Bk9PS+NIMnglZaPKlSvj4+NDz549mTdvHsHBwU7XR0VFsXHjRn744QeqVq3KhAkT6NChw33vd/To0QQHBzN16lTHuiJFijht06VLF6ffP/30U6ZMmcKuXbto3LixY33WrFnJm8RZ5SIiIpgyZQqzZs3iscceA2Dq1KmUKVOGTZs2UbNmzSTdj7iHl16CpUth40bo0wf8/KxOJCIiIuI6a9bAzZvmhMpPPWV1GkmOJBVfH374Ic2bN0/wel9fXxo2bEjDhg354IMPOJbE/l+LFi2iefPmdOjQgTVr1lCgQAH69u1L7969493+1q1bTJ48mcDAQB555JE4GUeMGEGhQoXo0qULAwcOxMsr/qe3fft2oqOjadKkiWNd6dKlKVSoEBs3boy3+IqKiiIqKsrx+5UrVwCIjo4m2k2H2rPnctd8KaVJEwgO9uKff2yEhd2mdWvD5Y9pGNFOl5Iy1K6uo7Z1DbWr66htXUPt6jqp1baGAcuWeQE2QkNjyJQpNt2P+pwWvtMmNVuSiq/ECq97BQUFERQUlKRt//77byZOnMigQYN466232Lp1KwMGDMDHx4cePXo4tluyZAmdO3cmMjKSfPnyERYWRs6cOR3XDxgwgEcffZQcOXKwYcMG3nzzTU6dOsWnn34a7+OePn0aHx8fsmXL5rQ+T548nD59Ot7bjBo1iuHDh8dZv3LlSvz9/ZP0fK0SFhZmdQSXa9CgBDNmlCUs7DotW/6GzZZajxyG4fpaLwNSu7qO2tY11K6uo7Z1DbWr67i2bXfuzMWxY7Xx8blNrVorWbrUfQuSlObO32kjIyOTtJ3NMO7/8rAf5UmKgICAJG/r4+ND1apV2bBhg2PdgAED2Lp1Kxs3bnSsu379OqdOneL8+fN89dVXrF69ms2bN5M7d+547/ebb76hT58+XLt2DV9f3zjXz5o1i169ejkdyQKoXr06jRo1YvTo0XFuE9+Rr+DgYM6fP5+s55yaoqOjCQsLo2nTpnin81n3Ll2CokW9uH7dxtCht6ld27X/Ucy9WmFAU2y29N22qUnt6jpqW9dQu7qO2tY11K6uk1pt+/bbnuza5UHr1jHMnRuLRwYYuzwtfKe9cuUKOXPmJCIiItHaIElHvrJly4btPocSDMPAZrMRExOT5JD58uWjbNmyTuvKlCnDvHnznNZlzpyZ4sWLU7x4cWrWrEmJEiWYMmUKb775Zrz3W6NGDW7fvs2xY8coVapUnOvz5s3LrVu3uHz5stPRrzNnziR43pivr2+8hZy3t7fbvgjs0kLGh5U7N7zwAnz2Gcyd60WdOq5/TMMAm81b/7xSmNrVddS2rqF2dR21rWuoXV3H1W176BDs2mUOLz9kiCe+vhlrpA13/k6b1FxJKr5+/fXXhwqTkDp16nDgwAGndQcPHiQkJCTR28XGxsY5anW3P//8Ew8PjwSPjFWpUgVvb29++eUXQkNDAThw4AAnTpygVq1ayXwW4i4GDYJx4+DIEfODqWJFqxOJiIiIpBz78Ym6daF2bWuzyINJUvHVoEEDlzz4wIEDqV27NiNHjqRjx45s2bKFyZMnM3nyZMDsbvjBBx/Qtm1b8uXLx/nz5xk/fjzh4eGO0RQ3btzI5s2badSoEVmzZmXjxo0MHDiQZ555xjFkfXh4OI0bN2b69OlUr16dwMBAnnvuOQYNGkSOHDkICAigf//+1KpVSyMdpmEFC8Izz8DUqTB7toovERERST/Cw82RnQEGD4YExpUTN5fsXqLLly9n/fr1jt/Hjx9PpUqV6NKlC5cuXUrWfVWrVo0FCxbw/fffU758eUaMGMGYMWPo2rUrAJ6enuzfv5/Q0FBKlixJmzZtuHDhAuvWraNcuXKA2R3whx9+oEGDBpQrV44PPviAgQMHOgo4MPuJHjhwwOlEuM8++4zWrVsTGhpK/fr1yZs3L/Pnz09uc4ibef11c9Ll3bvh77+tTiMiIiKSMhYsMLs1Vq4MyRgLT9xMsmvmIUOGOAak2L17N4MGDWLw4MH8+uuvDBo0yGnOrqRo3bo1rVu3jvc6Pz+/+xZEjz76KJs2bUp0m8KFC3PvuCJ+fn6MHz+e8ePHJyuvuLfSpeGJJ2DhQvjhB3jrLasTiYiIiDycCxdg9WpzeeBAiGcYAkkjkn3k6+jRo45BMubNm0ebNm0YOXIk48ePZ9myZSkeUCS57OOwbNkCZ85Ym0VERETkYS1aBLdvQ8mS8P/DFUgaleziy8fHx9F9b9WqVTRr1gyAHDlyJGtIehFXqV4d6teH2Fj48Uer04iIiIg8uMhIWLHCXH7xRXDz6WXlPpJdfNWtW5dBgwYxYsQItmzZQqtWrQBzlMKCBQumeECRBzF0qHm5di1on4CIiIikVStWmAVYvnzQq5fVaeRhJbv4GjduHF5eXsydO5eJEydSoEABAJYtW0aLFi1SPKDIg3j8cShbFqKizPO/RERERNKa6GizyyFAjx5w1/S0kkYle8CNQoUKsWTJkjjrP/vssxQJJJISbDZz5MOePc09Rk8/DW46J5+IiIhIvNauNQfbCAyEfv2sTiMpIdlHvu528+ZNrly54vQj4i6efto8RH/1KixdanUaERERkaQzDHN4eYAOHeD/O5tJGpfs4uv69ev069eP3LlzkzlzZrJnz+70I+IufHxg0CBzefFicwAOERERkbRg+3Y4ccIcVt7+fUbSvmQXX6+//jqrV69m4sSJ+Pr68vXXXzN8+HDy58/P9OnTXZFR5IG98AJkzQpnz8Jdc4OLiIiIuDX7Ua/HHzfnMZX0IdnF1+LFi5kwYQKhoaF4eXlRr149/vvf/zJy5EhmzpzpiowiDywgAPr0MZfvM1+3iIiIiFs4dAh27wYPDxgyxDyXXdKHZBdfFy9epGjRogAEBARw8eJFwByCfu3atSmbTiQFvPqqOdjG33+bH2QiIiIi7sy+w7hePahRw9oskrKSXXwVLVqUo0ePAlC6dGl+/P9ZbBcvXkw2jX8pbqhAAejSxVzWpMsiIiLizk6fho0bzeVBg8DT09o8krKSXXz16tWLnTt3AvDGG28wfvx4/Pz8GDhwIEOGDEnxgCIpwf7S3LXLPHlVRERExB0tXGgOEvbII6ApdNOfZM/zNXDgQMdykyZN2L9/P9u3b6d48eJUrFgxRcOJpJRy5cwTVpctg9mz7xRjIiIiIu7iyhVYtcpc7tfPHLlZ0pdkF1/3CgkJISQkJCWyiLjU0KFm8bVxozlhYVCQ1YlERERE7vj5Z7h1C0JCoHNnq9OIKzxQ8bV161Z+/fVXzp49S+w9kyd9+umnKRJMJKXVrw9VqpjzZsybZw5DLyIiIuIOoqLM4gvg+echSxZr84hrJLv4GjlyJP/9738pVaoUefLkwXbX2Jc2jYMpbsxmgzfeMGeJX70aunWDTJmsTiUiIiICv/xidjsMCrozTY6kP8kuvj7//HO++eYbevbs6YI4Iq7Vvj0UKQJHj8LixdCxo9WJREREJKOLiTEH2gDo2hVy5bI0jrhQskc79PDwoE6dOq7IIuJynp7w2mvmsr1ftYiIiIiV1q83h5j394dXXrE6jbhSsouvgQMHMn78eFdkEUkVPXtC7txw6RJ8953VaURERCQju34dpk41l5980uyhI+lXsrsdvvbaa7Rq1YpixYpRtmxZvL29na6fb5+SW8RN+fvD+PHmuV9LlkCjRlC0qNWpREREJCOaNg0uXjR3DH/wgXmOuqRfyT7yNWDAAH799VdKlixJUFAQgYGBTj8iaUFoKLRqZfax/uILczJDERERkdT011+wfLm5/N57UKiQtXnE9ZJ95GvatGnMmzePVq1auSKPSKqw2WDSJChdGv7+2zwC1rat1alEREQko4iONnvigNkLR2PZZQzJPvKVI0cOihUr5oosIqmqYEHz8D7AjBnmIX8RERGR1LBwIZw4Yc7n9fnn4OtrdSJJDckuvoYNG8a7775LZGSkK/KIpKp+/aBSJbh5887eJxERERFXOnUKZs82l195BSpUsDaPpJ5kdzv84osvOHLkCHny5KFw4cJxBtzYsWNHioUTcTVPT5gyBapVg61bYdMmqFnT6lQiIiKSXhmGeerDrVtQrhwMHWp1IklNyS6+2rVr54IYItZ59FHo39885D9pElSurEP/IiIi4hpr18Iff4CXF3z6KWTNanUiSU3JLr7effddV+QQsdT778OcOXDypDnXxosvWp1IRERE0purV+Hrr83lrl2hSRNr80jqS9I5X4ZhuDqHiKWyZDGPeoE55OuRI9bmERERkfRn2jSIiIB8+WDUKPBI9ugLktYl6U9erlw5fvjhB27dupXodocOHeKll17iww8/TJFwIqmpTRt44glzzq/PP9fcXyIiIpJy9u6FlSvN5fffNwswyXiS1O1w7NixDB06lL59+9K0aVOqVq1K/vz58fPz49KlS+zbt4/169ezd+9e+vXrx0svveTq3CIuMX48/PILHDsGixaBTnEUERGRhxUdDRMmmMtNmkC3btbmEeskqfhq3Lgx27ZtY/369cyePZuZM2dy/Phxbty4Qc6cOalcuTLdu3ena9euZM+e3dWZRVymQAFz7q9XXoFZs6BePQgKsjqViIiIpGULFsA//5iDa3z6KdwzWLhkIMkacKNu3brUrVvXVVlE3MLLL8O335ojEY0fD++8Y3UiERERSatOnrwzp9fAgZrTK6PTaX4i97DP/eXpCdu2mXN/iYiIiCSXYcDEiWa3w/Ll4bXXrE4kVlPxJRKPypXNub8AvvwSoqKszSMiIiJpz/r1sHOnOafXJ59oTi9R8SWSoPfeg7x54cIFmDnT6jQiIiKSlkRGmj1pADp31pxeYlLxJZKArFlh7FhzeckS80RZERERkaSYNQsuXoTcuWHkSM3pJSa9DEQSERpq7qm6fRvGjTP7bouIiIgk5u+/zR23AP/9LwQHW5tH3EeyRju0i42N5fDhw5w9e5bYe2airV+/fooEE3EHNps5L0e5cvDXX/Drr/DYY1anEhEREXcVGwuTJpmXNWtC795WJxJ3kuzia9OmTXTp0oXjx49j3HMYwGazERMTk2LhRNxBiRLwxhswYgRMnWp+kGbKZHUqERERcUe//GJj/37w9TUH2fDzszqRuJNkdzt88cUXqVq1Knv27OHixYtcunTJ8XPx4kVXZBSx3JtvQkgIRESYBZiIiIjIva5c8WHaNE8AevaEWrWszSPuJ9lHvg4dOsTcuXMpXry4K/KIuKVMmcx5Olq2hLAwaNECihSxOpWIiIi4k+++K8PVqzYKFDBHTbbZrE4k7ibZR75q1KjB4cOHXZFFxK09/jg88YTZh3vsWE/uOd1RREREMrD9+22EhRUGzFMVcue2No+4pyQd+dq1a5djuX///gwePJjTp09ToUIFvL29nbatWLFiyiYUcSNjx5pHvv7+24Nffw3WnB0iIiJCTAxMmmR2N2zUKJauXTWguMQvScVXpUqVsNlsTgNsPPvss45l+3UacEPSu+BgePddGDoUpk0rR/XqEBhodSoRERGx0s8/w9GjNrJkucVHH9nw8VHxJfFLUvF19OhRV+cQSTMGDoRvvjE4cMCXr7+OYfBgqxOJiIiIVS5cgJkzzeVu3fZRsWI5awOJW0tSWR4SEuL4OX78OAUKFHBaFxISQoECBTh+/Lir84pYztsbJkwwj/CuXevB3r0WBxIRERHLfPMN3LgBRYvG0rTpcQ2yIYlK9jHRRo0axTukfEREBI0aNUqRUCLurl49g0aNTmAYNsaPN/t6i4iISMby55+wbp05quHIkTF4qLeh3EeyXyL2c7vudeHCBTJnzpwioUTSgh499hEQYPDvv7BwodVpREREJDVFR8OXX5rLLVtC27bW5pG0IcnzfD355JOAObhGz5498fX1dVwXExPDrl27qF27dsonFHFT2bJF8f77sQwY4Mns2dCwIQQFWZ1KREREUsOCBRAeDlmzwv/+B17Jnj1XMqIkH/kKDAwkMDAQwzDImjWr4/fAwEDy5s3LCy+8wIwZM1yZVcTt9O4dS+XKcPMmTJpkdRoRERFJDadPw48/mssDB0KZMtbmkbQjyTX61KlTAShcuDCvvfaauhiKAJ6eMHkyVK8OmzfDjh3w6KNWpxIRERFX+vpruHXLLLpee83qNJKWJPucr3fffZfMmTNz9uxZ1q1bx7p16zh79uwDBwgPD+eZZ54hKCiITJkyUaFCBbZt2+a4ftiwYZQuXZrMmTOTPXt2mjRpwubNmx3XHzt2jOeee44iRYqQKVMmihUrxrvvvsutW7cSfdyGDRtis9mcfl588cUHfh6ScVWtCn36mMsTJ5p9wEVERCR92rwZtmwxd8D+739mt0ORpEp28XX16lW6detGgQIFaNCgAQ0aNKBAgQI888wzREREJOu+Ll26RJ06dfD29mbZsmXs27ePTz75hOzZszu2KVmyJOPGjWP37t2sX7+ewoUL06xZM86dOwfA/v37iY2N5csvv2Tv3r189tlnTJo0ibfeeuu+j9+7d29OnTrl+Pnoo4+S1xgi/2/kSMiZE86cudMNQURERNKXqCj46itz+cknoUULa/NI2pPsUwOff/55/vjjD5YsWUKtWrUA2LhxI6+88gp9+vThhx9+SPJ9jR49muDgYEeXRoAiRYo4bdOlSxen3z/99FOmTJnCrl27aNy4MS1atKDFXa/8okWLcuDAASZOnMjHH3+c6OP7+/uTN2/eJOcVSUj27PDJJ9Cjh3kCbrNmkCuX1alEREQkJc2bB2fPmv/3P/zQPPolkhzJLr6WLFnCihUrqFu3rmNd8+bN+eqrr5yKoKRYtGgRzZs3p0OHDqxZs4YCBQrQt29fevfuHe/2t27dYvLkyQQGBvLII48keL8RERHkyJHjvo8/c+ZMZsyYQd68eWnTpg1vv/02/v7+8W4bFRVFVFSU4/crV64AEB0dTbSb9jOz53LXfGlZfG3bqROMG+fJ1q0efPllLP/5jyb/Si7DiHa6lJSjtnUNtavrqG1dQ+364E6fhnnzvAAbAwfeJjjYcDrVQN+7XCcttG1SsyW7+AoKCiIwMDDO+sDAQKfugknx999/M3HiRAYNGsRbb73F1q1bGTBgAD4+PvTo0cOx3ZIlS+jcuTORkZHky5ePsLAwcubMGe99Hj58mLFjx973qFeXLl0ICQkhf/787Nq1i6FDh3LgwAHmz58f7/ajRo1i+PDhcdavXLkywYLNXYSFhVkdId26t207dw5k27YGbNniwZ49GyhX7oJFydK6MAzD6gzpldrWNdSurqO2dQ21a3JNmVKd6Oh8VKx4jgoVNrB0afzb6XuX67hz20ZGRiZpO5thJO+tN3nyZObMmcN3333n6LJ3+vRpevTowZNPPkkf+8gDSeDj40PVqlXZsGGDY92AAQPYunUrGzdudKy7fv06p06d4vz583z11VesXr2azZs3kzt3bqf7Cw8Pp0GDBjRs2JCvv/46OU+L1atX07hxYw4fPkyxYsXiXB/fka/g4GDOnz9PQEBAsh4rtURHRxMWFkbTpk3x9va2Ok66kljbvvSSB1OmeJI/v8G4cbfVJSEZzD2xYUBTbDa9ZlOS2tY11K6uo7Z1DbXrg9mxw8bw4V54eBgsWHCbxx+Pu42+d7lOWmjbK1eukDNnTiIiIhKtDZJ95GvixIkcPnyYQoUKUahQIQBOnDiBr68v586d40v7VN/Ajh07Er2vfPnyUbZsWad1ZcqUYd68eU7rMmfOTPHixSlevDg1a9akRIkSTJkyhTfffNOxzcmTJ2nUqBG1a9dm8uTJyX1a1KhRAyDB4svX19dpYmk7b29vt30R2KWFjGlVfG07ejTMnQsnT9pYuNCbp56yKFwaZRhgs3nrS4ELqG1dQ+3qOmpb11C7Jk90tDm0PECbNjZatfJOdMeqvne5jju3bVJzJbv4ateuXXJvkqA6depw4MABp3UHDx4kJCQk0dvFxsY6HYUKDw+nUaNGVKlShalTp+LhkexBHPnzzz8BsyAUeRhBQTBqFPTtC3PmQOPG5om5IiIikvYsWgTh4RAQYO5gVY8WeRjJLr7efffdFHvwgQMHUrt2bUaOHEnHjh3ZsmULkydPdhy5un79Oh988AFt27YlX758nD9/nvHjxxMeHk6HDh0As/Bq2LAhISEhfPzxx44h6AFHt8jw8HAaN27M9OnTqV69OkeOHGHWrFm0bNmSoKAgdu3axcCBA6lfvz4VK1ZMsecnGdcLL5hzfu3ebe4tGzLE6kQiIiKSXBcuwOzZ5nL//lCqlLV5JO1LdvEFcPnyZebOncuRI0cYMmQIOXLkYMeOHeTJk4cCBQok+X6qVavGggULePPNN3nvvfcoUqQIY8aMoWvXrgB4enqyf/9+pk2bxvnz5wkKCqJatWqsW7eOcuXKAeaJd4cPH+bw4cMULFjQ6f7tp7NFR0dz4MABx4lwPj4+rFq1ijFjxnD9+nWCg4MJDQ3lv//974M0h0gcnp4wYQLUqwfr10Pr1lCmjNWpREREJDm+/RZu3oRixeD1161OI+lBsouvXbt20aRJEwIDAzl27Bi9e/cmR44czJ8/nxMnTjB9+vRk3V/r1q1p3bp1vNf5+fklOPqgXc+ePenZs2ei2xQuXJi7xxUJDg5mzZo1ycopklx160KXLjBrllmIff45PECPWBEREbHA3r2wZg3YbObpBG46vpqkMcn+Kjho0CB69uzJoUOH8PPzc6xv2bIla9euTdFwImndxx9D5sxw/DgsW2Z1GhEREUmKmBiwj9/WtCm0b29tHkk/kl18bd26Nd7h5AsUKMDp06dTJJRIepEvH7zzjrk8cyZcu2ZtHhEREbm/FSvg6FHw94f//Q+8HuhEHZG4kl18+fr6cuXKlTjrDx48SK5cuVIklEh68uqrULy4WXhNnWp1GhEREUnMlSswY4a53Ls3VKhgbR5JX5JdfLVt25b33nuP6OhoAGw2GydOnGDo0KGEhoameECRtM7HB8aPN5d/+QX+/tvaPCIiIpKw774zd5gGB8Pbb5vnfImklGQXX5988gnXrl0jd+7c3LhxgwYNGlC8eHGyZs3KBx984IqMImles2bQpg3ExpqDb9w1/ouIiIi4icOHYeVKc3nYMHPuTpGUlOwerIGBgYSFhbF+/Xp27drFtWvXePTRR2nSpIkr8omkG59/bn6gHzwIixdD27ZWJxIRERG7qCgYO9bcQVq3Lvz/zEciKeqBTx+sW7cudevWTcksIulakSLw3nswdKh57lfx4lC2rNWpRERExDDMUwSOHoWsWc1BNnx9rU4l6VGyuh3GxsbyzTff0Lp1a8qXL0+FChVo27Yt06dPd5pHS0TiN2SIecQrJsacM+TSJasTiYiIyJIl8Ntv5nycH30ENWtanUjSqyQXX4Zh0LZtW55//nnCw8OpUKEC5cqV4/jx4/Ts2ZP2mgBB5L5sNnMEpeLFISIC3n8fbt+2OpWIiEjGtWcPfPONudy7Nzz/vLV5JH1LcrfDb7/9lrVr1/LLL7/QqFEjp+tWr15Nu3btmD59Ot27d0/xkCLpSdas5h62KlXg0CH48kt4+WWrU4mIiGQ8Fy7A6NFmj5Q6dTSnl7heko98ff/997z11ltxCi+Axx57jDfeeIOZM2emaDiR9KpUKXMoWzAncly92to8IiIiGU10tFl4RURAwYIwfbq5g1TElZJcfO3atYsWLVokeP3jjz/Ozp07UySUSEbQvr05+AaYJ/keO2ZpHBERkQzl229h/37w84MpU6BoUasTSUaQ5OLr4sWL5MmTJ8Hr8+TJwyWNHiCSLB98AA0amHvf3n8fIiOtTiQiIpL+rV1rTvsC5nxeTZtaGkcykCQXXzExMXgl0gnW09OT2xo5QCRZPD1hzhzImxfOnoWPP9YEzCIiIq504gSMG2cud+gAAweaA2KJpIYkn1JoGAY9e/bEN4FJD6KiolIslEhGkisXzJ8P9evDtm0wbx489ZTVqURERNKfyEj48EO4edOca3PCBPDxsTqVZCRJLr569Ohx32000qHIg6lVyzzq9eqr5lD0pUpBhQpWpxIREUk/7BMp//svBAaaA2zkzGl1Ksloklx8TZ061ZU5RDK8AQNg/XqYO9ccfWnsWMie3epUIiIi6cOSJbBunTmR8pgx5pQvIqktyed8iYhr2WwwdSqUKAFXrsDIkea8IyIiIvJw/vrrzkTKffpAt27W5pGMS8WXiBvJkgV++gkyZYIDB8xiTERERB7c5cvw0UfmDs1atcxlT0+rU0lGpeJLxM2UKXNn79yiRbBhg7V5RERE0qqYGPOc6gsXzJGFp00zd3SKWEXFl4gb6twZXn7ZXB4zBk6ftjSOiIhImvTDD7Brlzmi4Zdfml37Rayk4kvETX36KVStag6H+8EH5kTMIiIikjR//gk//mguDxkCrVtbGkcEUPEl4rZ8fMyRDwMD4fhx+OorqxOJiIikDRcvwiefmMPLN2kC//mPOcqhiNX0MhRxYyEh5jwkAMuXm0PRi4iISMJiYszCKyICChSAr782B7IScQcqvkTcXNu28Mor5vLYsTr/S0REJDGzZ8Pu3WYPkq++MndkirgLFV8iacBHH5mTQd64Yc7/pfO/RERE4tq50yy+AF5/HVq0sDaPyL1UfImkAfbzvwIC4NgxswuFiIiI3HHpUtzzvGw2q1OJOFPxJZJGFC5szk8CsGwZ/P67pXFERETchn0+r8uX75zn5edndSqRuFR8iaQh7dpB//7m8hdfwJkzlsYRERFxCz/+eOc8ry+/1Hle4r5UfImkMR9/DJUrm+d/af4vERHJ6HbuNCdTBnjtNXj8cWvziCRGxZdIGuPjA/Pm3Tn/a9IkqxOJiIhY49w5c6ekYcBjj8F//6v5vMS96eUpkgYVKQLffWeeSBwWBj//bHUiERGR1BUVZfYAiYiA4GDN5yVpg4ovkTSqbVsYNsxc/vpr2LPH0jgiIiKpxjDMc5///huyZIHp080dkyLuTsWXSBr29tvQvr05ytOoUXD+vNWJREREXG/+fFi3zuxi+PHH0KCB1YlEkkbFl0gaZrOZ3Q/LloWrV80jYVFRVqcSERFxne3bzSNdAP36wXPPaT4vSTtUfImkcZkzm+d8ZcsGJ07AmDFmdwwREZH05uTJOwNsNG1q9vrw8rI6lUjSqfgSSQcKFzZHQPTwMCdf/uknqxOJiIikrBs3zGLr+nUoXhy+/Rb8/a1OJZI8Kr5E0onHHoMPPzSXv/1WA3CIiEj6YRgwbhwcP25OtTJ9OuTPb3UqkeRT8SWSjrz2GoSGQmysBuAQEZH0Y+HCOwNsfPop1KpldSKRB6PiSyQdsdlg2jQoXdocgOP99yE62upUIiIiD27nTvN/G0DfvtCzp6VxRB6Kii+RdCZzZli8GLJmNec/mTjR6kQiIiIP5tw5+N//zB4dDRua3es9Pa1OJfLgVHyJpEPFi8OsWebyqlWwfLm1eURERJLr1i2zC/2VK1CokHn0K3Nmq1OJPBwVXyLpVOvW5iTMAJMnw8GD1uYRERFJKsOASZPg8GGz4Jo2zSzARNI6FV8i6diwYdCiBdy+DR98YO49FBERcXcrVpg9N2w2GDnS7HIokh6o+BJJxzw84PvvoUgRuHTJLMBiYqxOJSIikrD9+80eGwC9epmDbIikFyq+RNK5bNlg0SLIlAn++uvOiFEiIiLuJiICPvrI7LFRvTp89hl4eVmdSiTlqPgSyQDKl4cpU8zlhQth0yZL44iIiMQRE2PO4XX+POTJA999Z06oLJKeqPgSySCefhr69DGXx4yBM2csjSMiIuJkzhz44w/w9jYH2yhZ0upEIilPxZdIBvL551C5MkRGmud/aQJmERFxB3/8YZ6jDDBkCLRta20eEVdR8SWSgfj6woIFEBgIx46ZexZFRESsdP48fPKJObx8kybmNCke+oYq6ZRe2iIZTEgIzJhhLoeFwerV1uYREZGM6/Ztc4AN+0TK33wDfn5WpxJxHRVfIhlQ69bw+uvm8sSJ8M8/1uYREZGMafp0c2h5Pz9zYKjgYKsTibiW5cVXeHg4zzzzDEFBQWTKlIkKFSqwbds2x/XDhg2jdOnSZM6cmezZs9OkSRM2b97sdB8XL16ka9euBAQEkC1bNp577jmuXbuW6OPevHmTl19+maCgILJkyUJoaChnNAKBZCAffAB16kBUFLz/vnkpIiKSWjZuNEfgBbOrYePGlsYRSRWWFl+XLl2iTp06eHt7s2zZMvbt28cnn3xC9uzZHduULFmScePGsXv3btavX0/hwoVp1qwZ586dc2zTtWtX9u7dS1hYGEuWLGHt2rW88MILiT72wIEDWbx4MXPmzGHNmjWcPHmSJ5980mXPVcTdeHnB3LmQKxecOmXOpWIYVqcSEZGM4NQpcxAogHbt4LXXwGazNJJIqrB02rrRo0cTHBzM1KlTHeuKFCnitE2XLl2cfv/000+ZMmUKu3btonHjxvz1118sX76crVu3UrVqVQDGjh1Ly5Yt+fjjj8mfP3+cx42IiGDKlCnMmjWLxx57DICpU6dSpkwZNm3aRM2aNePcJioqiqi7Dg1cuXIFgOjoaKLddMg4ey53zZeWpZe2DQqCWbNsNG/uyYYNNpYuvU3LltZVYIYR7XQpKUdt6xpqV9dR27qGO7TrrVvw4YdeREbaKFEilnHjYrDZ0v4IvOnlu4E7Sgttm9RsNsOwbl932bJlad68Of/++y9r1qyhQIEC9O3bl969e8e7/a1bt/jiiy94//33OXz4MDlz5uSbb75h8ODBXLp0ybHd7du38fPzY86cObRv3z7O/axevZrGjRtz6dIlsmXL5lgfEhLCq6++ysCBA+PcZtiwYQwfPjzO+lmzZuHv7/8Az17EfcybV4LvvitLpkzRTJjwC9mzqw+iiIi4xo8/lmTWrDIEBkbx6ae/ERR00+pIIg8tMjKSLl26EBERQUAis4NbeuTr77//ZuLEiQwaNIi33nqLrVu3MmDAAHx8fOjRo4djuyVLltC5c2ciIyPJly8fYWFh5MyZE4DTp0+TO3dup/v18vIiR44cnD59Ot7HPX36ND4+Pk6FF0CePHkSvM2bb77JoEGDHL9fuXKF4OBgmjVrlmgDWyk6OpqwsDCaNm2Kt7e31XHSlfTWti1awN69sezY4c3XXzfj9ddjLMlh7okNA5pis6X9dnUnalvXULu6jtrWNaxu1/PnYd488+vnK6948swzj6Wb7obp7buBO0kLbWvvFXc/lhZfsbGxVK1alZEjRwJQuXJl9uzZw6RJk5yKr0aNGvHnn39y/vx5vvrqKzp27MjmzZvjFF2u5Ovri6+vb5z13t7ebvsisEsLGdOq9NS248dDrVqwYYMH+/d7UKaMNTkMA2w2b33ZcgG1rWuoXV1HbesaVrbr9OnmAE8lS8LgwV74+KR6BJdLT98N3I07t21Sc1k64Ea+fPkoW7as07oyZcpw4sQJp3WZM2emePHi1KxZkylTpuDl5cWUKVMAyJs3L2fPnnXa/vbt21y8eJG8efPG+7h58+bl1q1bXL582Wn9mTNnEryNSHpXsyZ07Wr+U540SYNviIhIyvrrL1izxhxYY8QIcNOOQyIuZWnxVadOHQ4cOOC07uDBg4SEhCR6u9jYWMfgF7Vq1eLy5cts377dcf3q1auJjY2lRo0a8d6+SpUqeHt788svvzjWHThwgBMnTlCrVq0HfToiad7o0eDvD0ePmhMwi4iIpITYWPjqK3O5cWOI55R8kQzB0uJr4MCBbNq0iZEjR3L48GFmzZrF5MmTefnllwG4fv06b731Fps2beL48eNs376dZ599lvDwcDp06ACYR8patGhB79692bJlC7///jv9+vWjc+fOjpEOw8PDKV26NFu2bAEgMDCQ5557jkGDBvHrr7+yfft2evXqRa1ateId6VAkoyhQAN56y1z+7ju4qXOgRUQkBfz6Kxw+bE6mPGoUuGnPMRGXs7T4qlatGgsWLOD777+nfPnyjBgxgjFjxtC1a1cAPD092b9/P6GhoZQsWZI2bdpw4cIF1q1bR7ly5Rz3M3PmTEqXLk3jxo1p2bIldevWZfLkyY7ro6OjOXDgAJGRkY51n332Ga1btyY0NJT69euTN29e5s+fn3pPXsRNDR4MhQpBRATMmGF1GhERSesiI2HaNHO5e3eoUsXaPCJWsnTADYDWrVvTunXreK/z8/NLUkGUI0cOZs2aleD1hQsX5t4R9f38/Bg/fjzjx49PXmCRdM7Pz5xwOTQUli6FVq0gXz6rU4mISFo1Zw5cvgy5c8OwYZpMWTI2S498iYh7at8e6teH27fhroPIIiIiyXLyJPz0k7k8dKh25omo+BKROGw2GDsWPDxg+3b44w+rE4mISFo0daq5I69iRejTx+o0ItZT8SUi8apYEXr3Npe/+socqUpERCSpdu6EzZvNHXkjR0LmzFYnErGeii8RSdCIEZA1K/z7LyxfbnUaERFJK2Ji4JtvzOXHH4fmza3NI+IuVHyJSIJy5YL//Mdc/v57+P/p9URERBL166/mnJGZMsH774OX5UO8ibgHFV8ikqhXXrkz9Hwig4qKiIgA5hyR9qlKunWDRx6xNo+IO1HxJSKJ8vODjz4yl3/+Gc6ftzaPiIi4t/nz4eJFyJkT3nlHQ8uL3E3Fl4jcV8eOUK0a3LoFU6ZYnUZERNzVhQuwYIG5PGgQFChgbR4Rd6PiS0Tuy2aDzz83lzdsgEOHrM0jIiLuacYM8/zgEiWgf3+r04i4HxVfIpIktWpBhw5gGPDll+aliIiI3ZEjsHq1uTx8OGTJYm0eEXek4ktEkmz0aPD2hoMHzSNgIiIiYO6Q++Yb87JOHQgNtTqRiHtS8SUiSVakCLz6qrk8dSrcvm1pHBERcRNbt8Lu3eaQ8qNGgY+P1YlE3JOKLxFJlv/8B3LkgLNn4aefrE4jIiJWu33b3CEH0K6deeRLROKn4ktEkiUwEN57z1yeOxeuXbM2j4iIWGv5cggPN8/xev998NC3S5EE6e0hIsn2wgvmSFbXr8O331qdRkRErHLlCnz/vbncuzeUKmVtHhF3p+JLRJLN2xu++MJcXrUKDh+2No+IiFhj6lS4etWcz+uNN6xOI+L+VHyJyANp0QLat4fYWLMQi4mxOpGIiKSm3bvhl1/MuSCHD4fcua1OJOL+VHyJyAMbN87s43/sGPz8s9VpREQktURHw4QJ5nLDhtC5s6VxRNIMFV8i8sDy5zdPrgaYMQMuXLA2j4iIpI5588xBNrJmhZEjIXNmqxOJpA0qvkTkofTrB5Uqwc2bMHGi1WlERMTVTp6EOXPM5b59oVo1a/OIpCUqvkTkoXh6midce3rCli3mj4iIpE+GYe5oi46GsmVh8GDz819EkkbFl4g8tEqVzCNgYJ4DEBVlaRwREXGRNWtg507w8oIPP4RcuaxOJJK2qPgSkRTx/vvmOWAXL8K0aVanERGRlHb1KkyZYi537myOeisiyaPiS0RSRJYsd875WroU/v7b2jwiIpKypk2DiAjIl8/c4ebtbXUikbRHxZeIpJi2baFNG3Pur88/Ny9FRCTt27cPVq40l4cNg5AQS+OIpFkqvkQkRU2YAP7+cPQoLFlidRoREXlYd8/p9dhj0L27tXlE0jIVXyKSogoWhA8+MJdnzoRLl6zNIyIiD2fhQjhxwuxe/umn4OdndSKRtEvFl4ikuP794ZFH4MaNO3tLRUQk7Tl9GmbPNpcHDICKFa3NI5LWqfgSkRTn6Qlffw0eHrB5M2zbZnUiERFJLsOAL7+EW7fMOb2GDgWbzepUImmbii8RcYmqVeGll8zliRPNf94iIpJ2bNwI27ebO9Q+/hgCAqxOJJL2qfgSEZf54APIkwfOnYMZM6xOIyIiSRUZCZMnm8udOkHz5tbmEUkvVHyJiMsEBsIXX5jLixfDP/9Ym0dERJJm5ky4eBFy5YLRo81u5CLy8PRWEhGX6tABmjSBmBizEDMMqxOJiEhijhyBn382l9991xzFVkRShoovEXEpmw0mTQJfXzhwAMLCrE4kIiIJiYkxR6mNjYU6deD5561OJJK+qPgSEZcrVgz++19z+dtv4epVS+OIiEgCVqyAQ4cgUyb47DNzx5mIpBwVXyKSKoYMgRIl4No1+Oorq9OIiMi9Ll6E6dPN5RdeMEetFZGUpeJLRFKFr++dkbPWrIG9e63NIyIizqZMMUc5LFLEPNdLc3qJpDwVXyKSaho2hGeeMQfdGDvWPLdARESs98cfsG6dWXCNHg3Zs1udSCR9UvElIqnq00/NIehPnoS5c61OIyIiUVEwcaK53Lo1tG9vbR6R9EzFl4ikqly54H//M5fnzIEzZ6zNIyKS0c2dC6dPQ7Zs8PHH4OVldSKR9EvFl4ikuueeg5o14dYtGDdOc3+JiFjlxAmYN89cfu01KFnS2jwi6Z2KLxFJdR4e8PXX5t7VnTth/XqrE4mIZDyxseacXrdvQ+XK8MorVicSSf9UfImIJcqVM/eygjkKYmSktXlERDKaVatg3z7w8TG7G2bJYnUikfRPxZeIWOadd6BwYYiIMIc4FhGR1HH5Mkydai537w4NGlgaRyTDUPElIpbJlMnsfgjmHtj9+zWpjIhIapgyxZPr16FQIRgxAjw9rU4kkjGo+BIRSzVuDF26mINufPGFJzExKsBERFzpjz9ysXatBzYbjBwJefNanUgk41DxJSKWGzPGHOI4PNzG4sVFrY4jIpJuRUXBpEmPANCqFXTsaHEgkQxGxZeIWC5XLvjkE3P5++9La+4vEREXmT3bgzNnMpM9u8Gnn4K3t9WJRDIWFV8i4hZ69YLatWOJivJi7FhPzf0lIpLCjh+HhQvNr35Dh8ZQooTFgUQyIBVfIuIWbDaYNCkGL69Ydu/2YM0aqxOJiKQfsbEwfjzExNioUeMUfftqD5eIFVR8iYjbKF0annzyEGCOgqi5v0REUkZYGOzfD76+Bs8/vws/P6sTiWRMlhdf4eHhPPPMMwQFBZEpUyYqVKjAtm3bAIiOjmbo0KFUqFCBzJkzkz9/frp3787Jkycdt//tt9+w2Wzx/mzdujXBx23YsGGc7V988UWXP18RSdxTTx2kSBGDK1fgq6+sTiMikvZdugTffmsuP/tsLLly3bQ0j0hGZmnxdenSJerUqYO3tzfLli1j3759fPLJJ2TPnh2AyMhIduzYwdtvv82OHTuYP38+Bw4coG3bto77qF27NqdOnXL6ef755ylSpAhVq1ZN9PF79+7tdLuPPvrIpc9XRO7PxyeWCRNiAFi9Gv76y+JAIiJp3DffwPXrEBIC77wTa3UckQzNy8oHHz16NMHBwUy1T7EOFClSxLEcGBhIWFiY023GjRtH9erVOXHiBIUKFcLHx4e8d01QER0dzU8//UT//v2x2RKfL8jf39/ptiLiHho3NujcGX74AcaONX80AaiISPL98QesWWOeVzt6NAQFWZ1IJGOztPhatGgRzZs3p0OHDqxZs4YCBQrQt29fevfuneBtIiIisNlsZMuWLcH7vHDhAr169brv48+cOZMZM2aQN29e2rRpw9tvv42/v3+820ZFRREVFeX4/cqVK4BZ7EVHR9/3saxgz+Wu+dIyta1r3N2uH38My5Z58e+/NubNi6FDB+2tfRiGEe10KSlD7eo6atuHZ87p5QXYaNUqhrZtY/X/y4XUtq6TFto2qdlshmHdgM5+/3+256BBg+jQoQNbt27llVdeYdKkSfTo0SPO9jdv3qROnTqULl2amTNnxnufLVu2BGDp0qWJPvbkyZMJCQkhf/787Nq1i6FDh1K9enXmz58f7/bDhg1j+PDhcdbPmjUrwYJNRB7OypUhTJhQCT+/24wd+4vOUxARSYaZM0szZ04pcuS4wbhxq/H3v211JJF0KzIyki5duhAREUFAQECC21lafPn4+FC1alU2bNjgWDdgwAC2bt3Kxo0bnbaNjo4mNDSUf//9l99++y3eJ/Xvv/8SEhLCjz/+SGhoaLKyrF69msaNG3P48GGKFSsW5/r4jnwFBwdz/vz5RBvYStHR0YSFhdG0aVO8NYtiilLbusa97RobCw0aeLJ5sweVKsUyfHiM1RHTLPPoQRjQFJtNr9mUonZ1HbXtw/n3X3jlFS9u37YxYsRthg41v+7p/5frqG1dJy207ZUrV8iZM+d9iy9Lux3my5ePsmXLOq0rU6YM8+bNc1oXHR1Nx44dOX78OKtXr07wCU2dOpWgoCCnATmSqkaNGgAJFl++vr74+vrGWe/t7e22LwK7tJAxrVLbusbd7fr111C5Mvz5pwebNnlQq5bF4dIwwwCbzVtfZFOY2tV11LYPxjBg8mS4fRsqVYJXX/Xi3n9V+v/lOmpb13Hntk1qLktHO6xTpw4HDhxwWnfw4EFCQkIcv9sLr0OHDrFq1SqCEjhT1DAMpk6dSvfu3R/oj/Lnn38CZkEoIu6jfHkYMMBcnjwZbt2yNo+IiLv7/XfYuRO8vOCTTyBLFqsTiYidpcXXwIED2bRpEyNHjuTw4cPMmjWLyZMn8/LLLwNm4fXUU0+xbds2Zs6cSUxMDKdPn+b06dPcuucb2OrVqzl69CjPP/98nMcJDw+ndOnSbNmyBYAjR44wYsQItm/fzrFjx1i0aBHdu3enfv36VKxY0fVPXESSZdgwyJsXLlyAWbOsTiMi4r4iI80eAwCdO0PDhpbGEZF7WFp8VatWjQULFvD9999Tvnx5RowYwZgxY+jatStgFk2LFi3i33//pVKlSuTLl8/xc/d5YgBTpkyhdu3alC5dOs7jREdHc+DAASIjIwHzXLNVq1bRrFkzSpcuzeDBgwkNDWXx4sWuf9IikmxZs8KYMebyokVw1zzrIiJyl9mz4eJFyJkTRo4ED0u/6YnIvSw95wugdevWtG7dOt7rChcuTFLHA5mVyO7we+8nODiYNWvWJC+oiFiqY0eYONGcr2bCBHj/fasTiYi4lxMnzB1UAG+9BcHB1uYRkbi0P0RE0gSbzSy+vLxg1y645+C3iEiGZh9kIyYGqlSBl16yOpGIxEfFl4ikGWXKwCuvmMtffaXBN0RE7NavN3dMeXvD//4H/z+Vqoi4GRVfIpKmvPsu5MtnDr6RwFzrIiIZSmQkTJliLnfuDA0aWJtHRBKm4ktE0pS7B99YvBjCwy2NIyJiOfsgG7lywQcfaJANEXemt6eIpDkdOpjDJ9++DZ9/bp7jICKSER08qEE2RNISFV8ikubYB9/w84P9+2HcOPNkcxGRjOT0aRgxwtwBVb069OljdSIRuR8VXyKSJpUubZ7zZbPBL7/AnDlWJxIRST3XrpmFV0SEebRrxgzIlMnqVCJyPyq+RCTNevJJc1QvMAux9eutzSMikhpu34bRo+GffyBbNpg1C0qUsDqViCSFii8RSdMGDYIXXjC7HX72GRw+bHUiERHXsc/ntXMn+PjApElQt67VqUQkqVR8iUiaZrPB+PHQqBFER8Pw4eYw9CIi6dHixbB8ufnZ99575gBEIpJ2qPgSkTTPywvmzze73UREwLBhEBVldSoRkZS1bRt88425/Pzz5pF/DSsvkrboLSsi6UK2bLBsmXl5/Lh5PkRsrNWpRERSxrFj5jmusbHQpInZzdrb2+pUIpJcKr5EJN0oVsyc78bLy9xD/O23VicSEXl4ly7B++/DjRtQpgx89x1kzmx1KhF5ECq+RCRdqVfPPBkdYOFCWLXK0jgiIg/l1i0YNQrOnoXcuWH2bMib1+pUIvKgVHyJSLrTqxcMGWIujx8Pe/dam0dE5EEYhjmJ/P794O9vHs2vUMHqVCLyMFR8iUi69OGH0Lo1xMSYe401AqKIpDULF8Jvv5mDaoweDS1aWJ1IRB6Wii8RSZc8POD776F0abhyxRyC/tYtq1OJiCTNH3/AtGnm8osvmj82m7WZROThqfgSkXQrSxZYsgQCA82RwsaMMbvxiIi4s5Mn4aOPzJENH3vMXPbysjqViKQEFV8ikq4VKwZz5phHwtavN+cDExFxV5GR8MEHcP26+fk1fbpGNhRJT1R8iUi617Speb4EmEM079hhbR4RkfjExppH6P/5xzxiP3MmFChgdSoRSUkqvkQkQxg8GJ5+2vxy89FHcPq01YlERJz98ANs2gSenvDFF1CjhtWJRCSlqfgSkQzBZoMpU6BSJbNbz7Bh5oSlIiLuYNMms/gCc2fRM89Ym0dEXEPFl4hkGJkyweLFkDOneUL7Z59pAA4Rsd6//5qfR2BOkTF8uHmeqoikP3pri0iGUrCgOeiGp6e5p3nBAqsTiUhGdvOmOS/hjRtQqhR89RX4+VmdSkRcRcWXiGQ49eqZX3bAHEls715r84hIxmQYMG4cnDgBAQHm51HevFanEhFXUvElIhnS4MHw5JPmAByjRsGlS1YnEpGM5uefYe1as4vhp59C9epWJxIRV1PxJSIZks0G334LxYvDlSvmvDoxMVanEpGMYt8+cxAggBdegJ49LY0jIqlExZeIZFhZs8KiReDvDwcPwtdfW51IRDKCS5fMKS9iYqBWLfjf/8zzUEUk/VPxJSIZWpkyMHWquWzvAiQi4ioxMfDxx3DxIuTLZ078niWL1alEJLV4WR1ARMRqHTvChg3w+efwySfmcPQ1a5oTnBYsaHU6EUnrbt2CnTth82bYsgUuX/6/9u48Lqpy/wP4Z4YZhiE2QVlEFFDSzA1w12saJKnXPS3DkiL33cIlNet6FbNS73Ury9RyS7OyABdSUVMSlbAQxX0H9LqArDMwz++P8+PoCCgpMwP4eb9e5yVzzjNnnvN1OMx3zvN8D6DRACtWAPXrW7p3RGROTL6IiCAN+7lwAdi6FUhNlZY1awBPz3uJ2LPP8t47RFQ+2dnA4cNSwpWYKJWUL6bVArNmAT16WK5/RGQZTL6IiACo1cBPPwHnzwMbNkhzwY4cAa5eBbZskRYnJykRa98eaNqUczSIyNjt20B8vLT89ZdUTbWYkxPQoQPQpw/Qvbs05FChsFRPichSmHwREd3Hxwd4/31puXkT2LxZSsr27ZOGCm3fLi329tJE+Q4dpERMxbMp0VPp1i1p2PLBg9I9A4W4t83TE+jcGejbFwgOBhwdLdZNIqok+HGBiKgMLi7AiBHSkpcnXQ3bvBnYuRO4e1f6d+dOabJ827ZSIta8ORMxouru5k0p2TpwADhxwjjh8vUFunaV5pK2bSsNMSQiKsaPCERE5aDVAq++Ki16PRAVJQ1P3LkTyMwEfv1VWuzspCTshReAxo05R4yousjKkhKufftKXuFq0AAICQFeew1o1UoqpkFEVBomX0REf5NaLQ0j6tsXKCwEYmKkRGzbNikR27FDWpydgU6dpETM15fzO4iqmrw8qTrh3r3AH38Y34jdzw/o1k1KuAICmHARUfkw+SIiegIqFdCrl7QUFkpDE7/9VroiduuWNF/sp5+kyfVdukiLm5ule01EZSkqApKSgN27pcSroODeNi8vqVjGG28ALVsy4SKiv4/JFxFRBVGpgH79pCUvD/juO2D9eiAuDkhLk35evx54/nkgKEiqmmhra+leExEAXLwoJVxxcVLVwmKursBLLwGDB0tXsTmHi4ieBJMvIiIT0GqBsDBpuX0b+OYbYO1a4OhRab7I8ePA559LFRODgoBmzTg/jMjcsrKkIYW7dwNnz95b/8wz0lXqN94AXn4ZcHCwXB+JqHph8kVEZGI1agDjx0vLmTNS0rVxo3QPsb17paVWLalCWnCwVGWRiEzDYAD+/FMaGvz779JwYUD68iMgQJrDNWgQ78NFRKbB5IuIyIwaNAA+/RT45BNg1y7gq6+AX34BbtwA1q2ThiUGBkqV01q25I2ciSrKzZvS71xsLJCRcW99vXrSjY/feksaEsxbRRCRKfEUQ0RkAQqFdJUrOBjIyQFWrQJWrpQm+h85Ii1OTtLVsJdfBmrWtHSPiaoeg0GqUrhtm/Q7ZTBI67Va6ebH77wj/X5x7iURmQuTLyIiC3vmGWDMGGn580/gv/8Fvv8euHMH2LRJ+rlVK+Cf/5TmhnEoFNHD3b0r3Xdv2zYgPf3e+meflYYVhoUB3t78XSIi82PyZUJFRUXQ6/UWe329Xg+VSoX8/HwU3X9zEnpij4qtlZUVVCoVFPzLTn9Ts2bSUMSlS6WS9Z9/LhXpOHRIWmrXBnr0AF58UUraiOieM2eA6Ghg/35Ap5PWabVStcKRI6WrXTY2Fu0iET3lmHyZSHZ2Nq5cuQIhhMX6IISAu7s7Ll++zCSggpUntra2tvDw8IC1tbWZe0fVgUYjDYl65x0gMRFYsADYsgW4dg348kspMQsOBnr2lAoDED2tioqkLyZ+/hlISbm33stLKpwxfDjg48OrXERUOTD5MoGioiJcuXIFtra2qFWrlsUSH4PBgOzsbNjZ2UHJGtYV6mGxFUJAp9Phxo0bOH/+PPz8/Bh/eiIBAVKZ+qVLgeXLgS++AC5cAKKipG/5W7WSCgY8/zw/YNLTIzdXKp7xyy/A9evSOqVSun/e8OHS74SdnUW7SERUApMvE9Dr9RBCoFatWtBa8G6MBoMBOp0ONjY2/PBfwR4VW61WC7VajYsXL8rtiJ6UoyMwdSowZQrw009S1cSDB4GEBGnx8QFeeUX68MkqiVRd/e9/wNatUqn4vDxpna2tdBV44kSpWigrFhJRZcXTkwlxqN/TjQkvmYpCAfTtKy1JSUBkpJSMnT8vlbB3cwP69ZNu3sxRr1RdXLkC/PADEBd3795cHh5AaCgwahQLaBBR1cDki4ioCmvRAvjuO2nY1bx5UrGOjAxpeOL69UDv3kC3biylTVXXqVMKbNkizesqnkbdsKGUcL35pnRLBiKiqoJfzRMRVQOurlJRjmvXgNmzpceZmcA33wDh4cCGDUpkZ/P7Nqo6Tp5U4KOP2iIiQoXff5cSr8BAqdhMYiIwbhwTLyKqeph8UYVZvXo1nKrIX0IhBIYNGwZnZ2coFAokJSWhc+fOmDBhgtzG29sbixYtslgfiR6HnR0wY4Y0RGvpUmkoVm4usHGjFYYN64r165XIzrZ0L4nKlpICfPABMGWKCn/84QalUuCFF6QCMwcPAoMH80ouEVVdFk++rl69isGDB8PFxQVarRZNmzbFkSNHAEiFK6ZMmYKmTZvimWeeQe3atfHmm2/i2rVrRvvw9vaGQqEwWubNm/fQ183Pz8fo0aPh4uICOzs79O/fHxkZGSY7zqogLCwMffr0sXQ3jHTu3Fn+P7WxsUHjxo2xbNmyJ97v9u3bsXr1akRFRSEtLQ1NmjTBDz/8gNmzZ1dAr4ksT62WhmWdOQOsXAn4+Ajk5qrx3XdWePttYN06KSkjqixSU4GZM6WiMklJgFIpEBx8Edu2FeLXX6X723EOIxFVdRZNvm7fvo0OHTpArVZj27ZtSElJwWeffYYaNWoAAHJzc5GYmIiZM2ciMTERP/zwA1JTU9GrV68S+/rXv/6FtLQ0eRk7duxDX3vixIn45ZdfsHnzZuzduxfXrl1Dv379THKc9GSGDh2KtLQ0pKSkYODAgRg9ejQ2bNhQaltd8V01H+Hs2bPw8PBA+/bt4e7uDpVKBWdnZ9jb21dk14kszsoKePtt4MSJQkyenID69QXy86V5YuHhUgGDggJL95KeZhcvAnPmABERwLFj0nv2pZeAnTsLMWZMErp0YfVCIqo+LJp8ffzxx/Dy8sKqVavQunVr+Pj4oGvXrqhfvz4AwNHREbGxsRg4cCAaNmyItm3bYsmSJTh69CguXbpktC97e3u4u7vLyzPPPFPm62ZmZmLlypVYsGABXnzxRQQGBmLVqlU4ePAgfv/99wo/TiGAnBzLLBV5j+cFCxbIVyG9vLwwatQoZD9k/NKNGzfQsmVL9O3bFwUFBTAYDIiMjISPjw+0Wi2aN2+O77///pGva2trC3d3d/j6+uLDDz+En58ffv75ZwDSlbExY8ZgwoQJqFmzJkJCQgAAe/fuRevWraHRaODh4YGpU6ei8P/LY4WFhWHs2LG4dOkSFAoFvL295X3dP+zwQXfu3ME777yDWrVqwcnJCb169cKxY8fKGT0iy5Luf5SG48cLsWYNUK+edI5YvRoYOhTYvv1eBTkic0hPl+YpjhsnFdNQKIAuXYBdu4CYGKBTJ0v3kIio4ln0u6Sff/4ZISEhGDBgAPbu3QtPT0+MGjUKQ4cOLfM5mZmZUCgUJeYWzZs3D7Nnz0bdunXx+uuvY+LEiVCV8VXZ0aNHodfrERwcLK9r1KgR6tati/j4eLRt27bEcwoKClBw39fDWVlZAKShkXq93qht8X2+DAYDDAYDcnIABwdL5LlKXLkCODhIfXkUIYTc79IoFAosWrQIPj4+OHfuHMaMGYOIiAgsXboUAOTnGQwGXL58GSEhIWjTpg2++uorWFlZYe7cuVi3bh2WLVsGPz8/7Nu3Tx5y+sILLzy0X/f3SavVyskcAKxZswYjRozA/v37AQCXL19G9+7dMWTIEKxevRonT57E8OHDodFoMGvWLCxcuBC+vr748ssvcejQIVhZWcn7evC17n/8yiuvQKvVIjo6Gg4ODli6dCleeuklnDx5Es7OziX6bTAYIISAXq+HFW+6VC7Fv0sP/k7RkyuOaVGRHoMGAQMGACtWKBAZaYWMDAWWLQOSk4sQGvrocwXdo1Do4eoKZGToK/TLruouOxuYOlUFvV6qDd+6tQEzZhQhKEgaMisEzwemwriaDmNrOlUhtuXtm0WTr3PnzmH58uWYNGkS3n//fRw+fBjjxo2DtbU1hgwZUqJ9fn4+pkyZgkGDBsHBwUFeP27cOAQEBMDZ2RkHDx7EtGnTkJaWhgULFpT6uunp6bC2ti6RwLm5uSE9Pb3U50RGRuKjjz4qsX7nzp2wfWDmr0qlgru7O7Kzs6HT6ZCTAwBOJZ5rLnfv3i1XO71ej8LCQjmxfNBbb70l/+zs7Ixp06Zh0qRJiIyMBCD9/wghcPToUfTt2xf//Oc/ERkZiZycHBQUFCAyMhI//vgjWrduDQDo168f4uLisHTpUvj7+5f6moWFhdDpdMjKykJRURG+//57/Pnnnxg8eDCysrJQWFgIX19fTJ8+XX7O7Nmz4enpiTlz5kChUKB27dqYMmUKPvroI4wfPx5KpRJqtRoKhUL+vyveV/FrAVLylJ+fj6ysLMTHxyMhIQGnT5+GRqORXyc6Ohpr165FWFhYib7rdDrk5eVh37598lU3Kp/Y2FhLd6Hauj+23t7AkiVK7NhRD1u2PIt+/Q7Cza185wsy5urK9+zf4eYGdOrUArdv2+D110+gQYNMGAxAab/6PB+YBuNqOoyt6VTm2OaWcyK1RZMvg8GAli1bYu7cuQAAf39/JCcn4/PPPy+RfOn1egwcOBBCCCxfvtxo26RJk+SfmzVrBmtrawwfPhyRkZHyB+UnVZxoFMvKyoKXlxe6du1qlAgCUhJy+fJl2NnZwcbGBvb2QFaW+b9NFkKgqEgaklmeGz6r1WqoVKoSx1Ps119/xccff4yTJ0/KyUp+fj5UKhVsbW1hY2OD/Px89OjRA4MGDcLChQvl5x4/fhy5ubkl5tXpdDr4+/uX+ZoqlQorV67Et99+C51OBysrK0yYMAETJ06EUqmESqVCq1atjJ5/7tw5tG/fHo6OjvK6oKAgREREICsrC3Xr1oWNjQ2USqXR81QqFaytreV1SqUSNjY2cHBwwNmzZ5GTkyMPiS2Wl5eHa9euldr//Px8aLVadOrUCTY2NmWFne6j1+sRGxuLl156CWq12tLdqVYeFtvevYFFiwBr639YpnNVGN+zjy84uLiARodStzO2psG4mg5jazpVIbZlXbx4kEWTLw8PDzRu3Nho3XPPPYctW7YYrStOvC5evIjdu3eX+UG9WJs2bVBYWIgLFy6gYcOGJba7u7tDp9Phzp07Rle/MjIy4O7uXuo+NRpNqYmcWq0u8SYoKiqCQqGAUqmEUikNN7REHQeDwYCsLMh9eZTiqoKltb1w4QJ69eqFkSNHYs6cOXB2dsZvv/2G8PBwFBYWyseq0WgQHByM6OhoTJ48GZ6engDufRsQHR0tryum0Wge2r/Q0FBMnz4dWq0WHh4eJdra2dkZrSvtOIp/Lu5ncTL64L4efF7x45ycHHh4eCAuLg6AFNvs7GzY2dnB2dm51P4Xv05p7xF6OMbMdMqKLcP9ZPie/fvKGy7G1jQYV9NhbE2nMse2vP2yaPLVoUMHpKamGq07deoU6tWrJz8uTrxOnz6NPXv2wMXF5ZH7TUpKglKphKura6nbAwMDoVarsWvXLvTv3x8AkJqaikuXLqFdu3ZPcETV19GjR2EwGPDZZ5/JicamTZtKtFMqlfj222/x+uuvo0uXLoiLi0Pt2rXRuHFjaDQaXLp06aHzu0rj6OiIBg0alLt9cQIvhJCTrAMHDsDe3h516tT5W69dLCAgAOnp6VCpVPD29v7/xDYLDg4O5UpsiYiIiIgsmnxNnDgR7du3x9y5czFw4EAkJCRgxYoVWLFiBQAp8XrllVeQmJiIqKgoFBUVyXOynJ2dYW1tjfj4eBw6dAhdunSBvb094uPjMXHiRAwePFguWX/16lUEBQXhm2++QevWreHo6Ijw8HBMmjQJzs7OcHBwwNixY9GuXbtSi208TTIzM5GUlGS0zsXFBQ0aNIBer8fixYvRs2dPHDhwAJ9//nmp+7CyssK6deswaNAgvPjii4iLi4O7uzvee+89TJw4EQaDAR07dkRmZiYOHDgABweHUuf4Pa5Ro0Zh0aJFGDt2LMaMGYPU1FTMmjULkyZNeuxEKTg4GO3atUOfPn0wf/58NGjQAKdPn8bevXvRr18/tGzZssL6T0RERETVk0WTr1atWuHHH3/EtGnT8K9//Qs+Pj5YtGgRQkNDAUhJU3FJ8RYtWhg9d8+ePejcuTM0Gg02btyIDz/8EAUFBfDx8cHEiRON5mfp9XqkpqYaTYRbuHAhlEol+vfvj4KCAoSEhFTIzXururi4uBLFL8LDw/HVV19hwYIF+PjjjzFt2jR06tQJkZGRePPNN0vdj0qlwoYNG/Dqq6/KCdjs2bNRq1YtREZG4ty5c3ByckJAQADef//9Cj0GT09PxMTEICIiAs2bN4ezszPCw8MxY8aMx96nQqFATEwMpk+fjrfeegs3btyAq6srXnjhBbi5uVVg74mIiIioulIIweK4jyMrKwuOjo7IzMwsteDG+fPn4ePjY9FCCxwaZzrliW1leR9UJXq9HjExMejevXulHdNdVTG2psG4mg5jaxqMq+kwtqZTFWL7sNzgfvxETkREREREZAZMvoiIiIiIiMyAyRcREREREZEZMPkiIiIiIiIyAyZfJsRaJk83/v8TERER0f2YfJmAlZUVAECn01m4J2RJxbc2qKxVeYiIiIjIvCx6n6/qSqVSwdbWFjdu3IBarbZYmXeDwQCdTof8/HyWmq9gD4utEAK5ubm4fv06nJyc5GSciIiIiJ5uTL5MQKFQwMPDA+fPn8fFixct1g8hBPLy8qDVaqFQKCzWj+qoPLF1cnKCu7u7mXtGRERERJUVky8Tsba2hp+fn0WHHur1euzbtw+dOnXi0LcK9qjYqtVqXvEiIiIiIiNMvkxIqVTCxsbGYq9vZWWFwsJC2NjYMPmqYIwtEREREf1dnAhERERERERkBky+iIiIiIiIzIDJFxERERERkRlwztdjKr6BblZWloV7Uja9Xo/c3FxkZWVxXlIFY2xNg3E1HcbWNBhX02FsTYNxNR3G1nSqQmyLc4LiHKEsTL4e0927dwEAXl5eFu4JERERERFVBnfv3oWjo2OZ2xXiUekZlcpgMODatWuwt7evtPfQysrKgpeXFy5fvgwHBwdLd6daYWxNg3E1HcbWNBhX02FsTYNxNR3G1nSqQmyFELh79y5q164NpbLsmV288vWYlEol6tSpY+lulIuDg0OlfaNWdYytaTCupsPYmgbjajqMrWkwrqbD2JpOZY/tw654FWPBDSIiIiIiIjNg8kVERERERGQGTL6qMY1Gg1mzZkGj0Vi6K9UOY2sajKvpMLamwbiaDmNrGoyr6TC2plOdYsuCG0RERERERGbAK19ERERERERmwOSLiIiIiIjIDJh8ERERERERmQGTLyIiIiIiIjNg8lUNnDp1Cr1790bNmjXh4OCAjh07Ys+ePUZtLl26hB49esDW1haurq6IiIhAYWGhUZu4uDgEBARAo9GgQYMGWL16tRmPovKKjo5GmzZtoNVqUaNGDfTp08doO2P7ZAoKCtCiRQsoFAokJSUZbfvzzz/xj3/8AzY2NvDy8sL8+fNLPH/z5s1o1KgRbGxs0LRpU8TExJip55XPhQsXEB4eDh8fH2i1WtSvXx+zZs2CTqczase4VpylS5fC29sbNjY2aNOmDRISEizdpUotMjISrVq1gr29PVxdXdGnTx+kpqYatcnPz8fo0aPh4uICOzs79O/fHxkZGUZtynPefZrNmzcPCoUCEyZMkNcxro/v6tWrGDx4MFxcXKDVatG0aVMcOXJE3i6EwAcffAAPDw9otVoEBwfj9OnTRvu4desWQkND4eDgACcnJ4SHhyM7O9vch1JpFBUVYebMmUZ/r2bPno376wBW27gKqvL8/PxE9+7dxbFjx8SpU6fEqFGjhK2trUhLSxNCCFFYWCiaNGkigoODxR9//CFiYmJEzZo1xbRp0+R9nDt3Ttja2opJkyaJlJQUsXjxYmFlZSW2b99uqcOqFL7//ntRo0YNsXz5cpGamiqOHz8uvvvuO3k7Y/vkxo0bJ7p16yYAiD/++ENen5mZKdzc3ERoaKhITk4WGzZsEFqtVnzxxRdymwMHDggrKysxf/58kZKSImbMmCHUarX466+/LHAklrdt2zYRFhYmduzYIc6ePSu2bt0qXF1dxbvvviu3YVwrzsaNG4W1tbX4+uuvxfHjx8XQoUOFk5OTyMjIsHTXKq2QkBCxatUqkZycLJKSkkT37t1F3bp1RXZ2ttxmxIgRwsvLS+zatUscOXJEtG3bVrRv317eXp7z7tMsISFBeHt7i2bNmonx48fL6xnXx3Pr1i1Rr149ERYWJg4dOiTOnTsnduzYIc6cOSO3mTdvnnB0dBQ//fSTOHbsmOjVq5fw8fEReXl5cpuXX35ZNG/eXPz+++9i//79okGDBmLQoEGWOKRKYc6cOcLFxUVERUWJ8+fPi82bNws7Ozvxn//8R25TXePK5KuKu3HjhgAg9u3bJ6/LysoSAERsbKwQQoiYmBihVCpFenq63Gb58uXCwcFBFBQUCCGEmDx5snj++eeN9v3qq6+KkJAQMxxF5aTX64Wnp6f46quvymzD2D6ZmJgY0ahRI3H8+PESydeyZctEjRo15DgKIcSUKVNEw4YN5ccDBw4UPXr0MNpnmzZtxPDhw03e96pi/vz5wsfHR37MuFac1q1bi9GjR8uPi4qKRO3atUVkZKQFe1W1XL9+XQAQe/fuFUIIcefOHaFWq8XmzZvlNidOnBAARHx8vBCifOfdp9Xdu3eFn5+fiI2NFS+88IKcfDGuj2/KlCmiY8eOZW43GAzC3d1dfPLJJ/K6O3fuCI1GIzZs2CCEECIlJUUAEIcPH5bbbNu2TSgUCnH16lXTdb4S69Gjh3j77beN1vXr10+EhoYKIap3XDnssIpzcXFBw4YN8c033yAnJweFhYX44osv4OrqisDAQABAfHw8mjZtCjc3N/l5ISEhyMrKwvHjx+U2wcHBRvsOCQlBfHy8+Q6mkklMTMTVq1ehVCrh7+8PDw8PdOvWDcnJyXIbxvbxZWRkYOjQofj2229ha2tbYnt8fDw6deoEa2treV1ISAhSU1Nx+/ZtuQ1j+3CZmZlwdnaWHzOuFUOn0+Ho0aNGcVIqlQgODmac/obMzEwAkN+jR48ehV6vN4pro0aNULduXTmu5TnvPq1Gjx6NHj16lPj9ZVwf388//4yWLVtiwIABcHV1hb+/P7788kt5+/nz55Genm4UW0dHR7Rp08Yotk5OTmjZsqXcJjg4GEqlEocOHTLfwVQi7du3x65du3Dq1CkAwLFjx/Dbb7+hW7duAKp3XJl8VXEKhQK//vor/vjjD9jb28PGxgYLFizA9u3bUaNGDQBAenq60ckUgPw4PT39oW2ysrKQl5dnhiOpfM6dOwcA+PDDDzFjxgxERUWhRo0a6Ny5M27dugWAsX1cQgiEhYVhxIgRRifN+z1JbIu3P+3OnDmDxYsXY/jw4fI6xrVi/O9//0NRURHj9AQMBgMmTJiADh06oEmTJgCk9561tTWcnJyM2t4f1/K8h59GGzduRGJiIiIjI0tsY1wf37lz57B8+XL4+flhx44dGDlyJMaNG4c1a9YAuBebh50L0tPT4erqarRdpVLB2dn5qY3t1KlT8dprr6FRo0ZQq9Xw9/fHhAkTEBoaCqB6x5XJVyU1depUKBSKhy4nT56EEAKjR4+Gq6sr9u/fj4SEBPTp0wc9e/ZEWlqapQ+jUipvbA0GAwBg+vTp6N+/PwIDA7Fq1SooFAps3rzZwkdROZU3tosXL8bdu3cxbdo0S3e5SihvXO939epVvPzyyxgwYACGDh1qoZ4TlW306NFITk7Gxo0bLd2VKu/y5csYP3481q1bBxsbG0t3p1oxGAwICAjA3Llz4e/vj2HDhmHo0KH4/PPPLd21Km3Tpk1Yt24d1q9fj8TERKxZswaffvqpnNRWZypLd4BK9+677yIsLOyhbXx9fbF7925ERUXh9u3bcHBwAAAsW7YMsbGxWLNmDaZOnQp3d/cSFbiKKxy5u7vL/z5Y9SgjIwMODg7QarUVdFSVQ3ljW5y8Nm7cWF6v0Wjg6+uLS5cuAQBj+4C/876Nj4+HRqMx2tayZUuEhoZizZo1ZcYNeHRsi7dXF+WNa7Fr166hS5cuaN++PVasWGHUjnGtGDVr1oSVlRXj9JjGjBmDqKgo7Nu3D3Xq1JHXu7u7Q6fT4c6dO0ZXae6Pa3nOu0+bo0eP4vr16wgICJDXFRUVYd++fViyZAl27NjBuD4mDw8Po88BAPDcc89hy5YtAO7FJiMjAx4eHnKbjIwMtGjRQm5z/fp1o30UFhbi1q1bT21sIyIi5KtfANC0aVNcvHgRkZGRGDJkSLWOK698VVK1atVCo0aNHrpYW1sjNzcXgDTX4H5KpVK+ctOuXTv89ddfRm/Q2NhYODg4yCeUdu3aYdeuXUb7iI2NRbt27Ux5mBZR3tgGBgZCo9EYlUHW6/W4cOEC6tWrB4CxfVB5Y/vf//4Xx44dQ1JSEpKSkuQy5t999x3mzJkDQIrbvn37oNfr5f3HxsaiYcOG8pDapyW25Y0rIF3x6ty5s3yl9sFzA+NaMYrPEffHyWAwYNeuXYzTQwghMGbMGPz444/YvXs3fHx8jLYHBgZCrVYbxTU1NRWXLl2S41qe8+7TJigoCH/99Zd8Tk1KSpK/zCr+mXF9PB06dChxO4RTp07JnwN8fHzg7u5uFNusrCwcOnTIKLZ37tzB0aNH5Ta7d++GwWBAmzZtzHAUlU9ubm6Jv09WVlbyZ9dqHVcLF/ygJ3Tjxg3h4uIi+vXrJ5KSkkRqaqp47733hFqtFklJSUKIe+Vju3btKpKSksT27dtFrVq1Si2HHhERIU6cOCGWLl3KcuhCiPHjxwtPT0+xY8cOcfLkSREeHi5cXV3FrVu3hBCMbUU5f/58iWqHd+7cEW5ubuKNN94QycnJYuPGjcLW1rZESXSVSiU+/fRTceLECTFr1qynuiT6lStXRIMGDURQUJC4cuWKSEtLk5dijGvF2bhxo9BoNGL16tUiJSVFDBs2TDg5ORlViyNjI0eOFI6OjiIuLs7o/Zmbmyu3GTFihKhbt67YvXu3OHLkiGjXrp1o166dvL08510SRtUOhWBcH1dCQoJQqVRizpw54vTp02LdunXC1tZWrF27Vm4zb9484eTkJLZu3Sr+/PNP0bt371JLovv7+4tDhw6J3377Tfj5+VX6kuimNGTIEOHp6SmXmv/hhx9EzZo1xeTJk+U21TWuTL6qgcOHD4uuXbsKZ2dnYW9vL9q2bStiYmKM2ly4cEF069ZNaLVaUbNmTfHuu+8KvV5v1GbPnj2iRYsWwtraWvj6+opVq1aZ8SgqJ51OJ959913h6uoq7O3tRXBwsEhOTjZqw9g+udKSLyGEOHbsmOjYsaPQaDTC09NTzJs3r8RzN23aJJ599llhbW0tnn/+eREdHW2mXlc+q1atEgBKXe7HuFacxYsXi7p16wpra2vRunVr8fvvv1u6S5VaWe/P+8+JeXl5YtSoUaJGjRrC1tZW9O3b1+gLBCHKd9592j2YfDGuj++XX34RTZo0ERqNRjRq1EisWLHCaLvBYBAzZ84Ubm5uQqPRiKCgIJGammrU5ubNm2LQoEHCzs5OODg4iLfeekvcvXvXnIdRqWRlZYnx48eLunXrChsbG+Hr6yumT59udFuD6hpXhRD33UqaiIiIiIiITIJzvoiIiIiIiMyAyRcREREREZEZMPkiIiIiIiIyAyZfREREREREZsDki4iIiIiIyAyYfBEREREREZkBky8iIiIiIiIzYPJFRERERERkBky+iIiI/l/nzp0xYcIE+bG3tzcWLVpk0te8efMmXF1dceHChSfaz2uvvYbPPvusYjpFREQmweSLiIiqlLCwMCgUCigUCqjVavj4+GDy5MnIz8+v8Nc6fPgwhg0bVuH7vd+cOXPQu3dveHt7P9F+ZsyYgTlz5iAzM7NiOkZERBWOyRcREVU5L7/8MtLS0nDu3DksXLgQX3zxBWbNmlXhr1OrVi3Y2tpW+H6L5ebmYuXKlQgPD3/ifTVp0gT169fH2rVrK6BnRERkCky+iIioytFoNHB3d4eXlxf69OmD4OBgxMbGyttv3ryJQYMGwdPTE7a2tmjatCk2bNhgtI+cnBy8+eabsLOzg4eHR6lD9u4fdnjhwgUoFAokJSXJ2+/cuQOFQoG4uDgAwO3btxEaGopatWpBq9XCz88Pq1atKvM4YmJioNFo0LZtW3ldXFwcFAoFduzYAX9/f2i1Wrz44ou4fv06tm3bhueeew4ODg54/fXXkZuba7S/nj17YuPGjeUNIxERmRmTLyIiqtKSk5Nx8OBBWFtby+vy8/MRGBiI6OhoJCcnY9iwYXjjjTeQkJAgt4mIiMDevXuxdetW7Ny5E3FxcUhMTHyivsycORMpKSnYtm0bTpw4geXLl6NmzZpltt+/fz8CAwNL3fbhhx9iyZIlOHjwIC5fvoyBAwdi0aJFWL9+PaKjo7Fz504sXrzY6DmtW7dGQkICCgoKnug4iIjINFSW7gAREdHfFRUVBTs7OxQWFqKgoABKpRJLliyRt3t6euK9996TH48dOxY7duzApk2b0Lp1a2RnZ2PlypVYu3YtgoKCAABr1qxBnTp1nqhfly5dgr+/P1q2bAkAj5zHdfHiRdSuXbvUbf/+97/RoUMHAEB4eDimTZuGs2fPwtfXFwDwyiuvYM+ePZgyZYr8nNq1a0On0yE9PR316tV7omMhIqKKx+SLiIiqnC5dumD58uXIycnBwoULoVKp0L9/f3l7UVER5s6di02bNuHq1avQ6XQoKCiQ52+dPXsWOp0Obdq0kZ/j7OyMhg0bPlG/Ro4cif79+yMxMRFdu3ZFnz590L59+zLb5+XlwcbGptRtzZo1k392c3ODra2tnHgVr7v/Sh4AaLVaACgxHJGIiCoHDjskIqIq55lnnkGDBg3QvHlzfP311zh06BBWrlwpb//kk0/wn//8B1OmTMGePXuQlJSEkJAQ6HS6x35NpVL6kymEkNfp9XqjNt26dcPFixcxceJEXLt2DUFBQUZX4B5Us2ZN3L59u9RtarVa/rm4suP9FAoFDAaD0bpbt24BkAqFEBFR5cPki4iIqjSlUon3338fM2bMQF5eHgDgwIED6N27NwYPHozmzZvD19cXp06dkp9Tv359qNVqHDp0SF53+/ZtozYPKk5o0tLS5HX3F9+4v92QIUOwdu1aLFq0CCtWrChzn/7+/khJSSn3sT5KcnIy6tSp89B5ZkREZDlMvoiIqMobMGAArKyssHTpUgCAn58fYmNjcfDgQZw4cQLDhw9HRkaG3N7Ozg7h4eGIiIjA7t27kZycjLCwMPnqVmm0Wi3atm2LefPm4cSJE9i7dy9mzJhh1OaDDz7A1q1bcebMGRw/fhxRUVF47rnnytxnSEgIjh8/XubVr79r//796Nq1a4Xsi4iIKh6TLyIiqvJUKhXGjBmD+fPnIycnBzNmzEBAQABCQkLQuXNnuLu7o0+fPkbP+eSTT/CPf/wDPXv2RHBwMDp27Fhm5cFiX3/9NQoLCxEYGIgJEybg3//+t9F2a2trTJs2Dc2aNUOnTp1gZWX10NLvTZs2RUBAADZt2vTYx14sPz8fP/30E4YOHfrE+yIiItNQiPsHrxMREZFZRUdHIyIiAsnJyQ+98vYoy5cvx48//oidO3dWYO+IiKgisdohERGRBfXo0QOnT5/G1atX4eXl9dj7UavVJe77RURElQuvfBEREREREZkB53wRERERERGZAZMvIiIiIiIiM2DyRUREREREZAZMvoiIiIiIiMyAyRcREREREZEZMPkiIiIiIiIyAyZfREREREREZsDki4iIiIiIyAyYfBEREREREZnB/wHswAQ/W6ZCSgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "######################################################################\n",
    "# Stimation of profile of the lake based on the hypsographic curve\n",
    "######################################################################\n",
    "\n",
    "# Provided data: depth (m) and surface area (m^2)\n",
    "H = np.array([625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642])  # Depths (m)\n",
    "A = np.array([104330, 334390, 437250, 524330, 620630, 714770, 856070, 1006520, 1132330, 1270740, 1378730, 1478430, 1592330, 1685780, 1776930, 1875870, 1976490, 2092750])\n",
    "\n",
    "# Initialize volume array\n",
    "V = np.zeros_like(H)  # Volumes will be stored here\n",
    "\n",
    "# Step 1: Calculate cumulative volume between each pair of depth points\n",
    "for b in range(1, len(H)):\n",
    "    V[b] = V[b-1] + 0.5 * (A[b] + A[b-1]) * (H[b] - H[b-1])\n",
    "\n",
    "# Step 2: Interpolate for finer depth increments\n",
    "# Define finer depth increments (e.g., every 0.1 m)\n",
    "H_fine = np.arange(H.min(), H.max(), 0.1)\n",
    "V_fine = np.zeros_like(H_fine)\n",
    "A_fine = np.zeros_like(H_fine)\n",
    "\n",
    "for i in range(1, len(H)):\n",
    "    H_range = (H_fine >= H[i-1]) & (H_fine < H[i])  # Finer points between known depths\n",
    "    \n",
    "    # Calculate interpolation coefficients\n",
    "    alpha_b = (np.log10(V[i]) - np.log10(V[i-1])) / (np.log10(H[i]) - np.log10(H[i-1]))\n",
    "    beta_b = (np.log10(A[i]) - np.log10(A[i-1])) / (np.log10(H[i]) - np.log10(H[i-1]))\n",
    "    \n",
    "    # Apply interpolation formula for volume and area\n",
    "    V_fine[H_range] = V[i-1] * (H_fine[H_range] / H[i-1]) ** alpha_b\n",
    "    A_fine[H_range] = A[i-1] * (H_fine[H_range] / H[i-1]) ** beta_b\n",
    "\n",
    "# For the last point, we can directly use the last volume and area\n",
    "V_fine[H_fine >= H[-1]] = V[-1]\n",
    "A_fine[H_fine >= H[-1]] = A[-1]\n",
    "\n",
    "# Calculate effective radius assuming circular shape for each area\n",
    "r_fine = np.sqrt(A_fine / np.pi)  # Effective radius (m)\n",
    "\n",
    "# Plot the lake profile\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(r_fine, H_fine, label='Lake Profile', color='b')  # Right half of the profile\n",
    "plt.plot(-r_fine, H_fine, color='b')  # Left half to make it symmetric\n",
    "plt.fill_betweenx(H_fine, -r_fine, r_fine, color='blue', alpha=0.3)  # Fill the shape of the lake\n",
    "\n",
    "# Add labels and title\n",
    "plt.xlabel('Radius (m)')\n",
    "plt.ylabel('Depth (masl)')\n",
    "plt.title('2D Profile of the Lake (based on hypsographic curve and volume calculation)')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
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   "cell_type": "code",
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   "id": "0f53e2e4-7cc5-416c-b86b-b4c78f4dad1c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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