{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bb551b95",
   "metadata": {},
   "source": [
    "# MELTS geobarometry part 1 - quartz - 2-feldspar saturated rhyolites"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c13695be",
   "metadata": {},
   "source": [
    "- The position of the quartz - 2-feldspar eutectic in high-silca rhyolitic magmas is sensitive to pressure (and possibly other variables; fO$_2$, H$_2$O, CO$_2$).\n",
    "- If MELTS accurately recreates phase stability (and the sensitivity to the relevant parameters), it could be used as a barometer in igneous systems by searching for the pressure at which the mineral saturation curves intersect.\n",
    "\n",
    "**Before any calculations can be run** users need to download the alphaMELTS for MATLAB files. Please see the installation guide on ReadTheDocs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a6872970",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alphaMELTS for Python files successfully located.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import petthermotools as ptt\n",
    "\n",
    "# If the alphaMELTS for Python files have not been added to your Python path (see installation guide) then use the two lines below to add\n",
    "# the location of the alphaMELTS files here.\n",
    "# import sys\n",
    "# sys.path.append(r'MELTS')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7ddae183",
   "metadata": {},
   "outputs": [],
   "source": [
    "# used to suppress MELTS outputs in MacOS systems (run twice)\n",
    "import platform\n",
    "if platform.system() == \"Darwin\":\n",
    "    import sys\n",
    "    import os\n",
    "    sys.stdout = open(os.devnull, 'w')\n",
    "    sys.stderr = open(os.devnull, 'w')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b924116d",
   "metadata": {},
   "source": [
    "To demonstrate how PetThermoTools can be used to evaluate the pressure of magma storage we will use the composition of a quartz-hosted melt inclusion from Anderson et al. (2000) to evaluate the method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "40b1fa04",
   "metadata": {},
   "outputs": [],
   "source": [
    "bulk = {'SiO2_Liq': 77.6,\n",
    "       'TiO2_Liq': 0.09,\n",
    "       'Al2O3_Liq': 12.3,\n",
    "       'FeOt_Liq': 0.65,\n",
    "       'MgO_Liq': 0.02,\n",
    "       'CaO_Liq': 0.41,\n",
    "       'Na2O_Liq': 4.49,\n",
    "       'K2O_Liq': 4.69}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce9c052b",
   "metadata": {},
   "source": [
    "In this case, we evaluate the saturation temperature of quartz, plagioclase, and k-feldspar at 32 pressures between 250 and 5000 bars. The model runs an equilibrium crystallisation calculation at each pressure (these calculations are run in parallel),with the calculations starting at the liquidus and continuing until either: (i) all three phases are saturated; or (ii) the temperature is more than 25$^o$C below the liquidus (T_maxdrop_C).\n",
    "\n",
    "The function will then calculate the maximum temperature separating the saturation of the 3 phases and use a spline fit to determine the pressure of the minimum offset. This pressure is then taken forward as the pressure of storage/extraction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5f99ebb4",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "P_bar = np.linspace(250, 5000, 64)\n",
    "phases = ['quartz1', 'plagioclase1', 'alkali-feldspar1']\n",
    "minimum, xstal = ptt.mineral_cosaturation(\n",
    "    Model = \"MELTSv1.0.2\", bulk= bulk,\n",
    "    P_bar = np.linspace(250, 5000, 64),\n",
    "    T_initial_C= 900.0,\n",
    "    find_min=True, H2O_Sat=True, T_maxdrop_C=25.0,\n",
    "    dt_C=1.0, fO2_buffer = \"NNO\", T_cut_C = 5,\n",
    "    phases = ['quartz1', 'plagioclase1', 'alkali-feldspar1'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e152dac0",
   "metadata": {},
   "source": [
    "To evaluate these results we can do a few different things.\n",
    "\n",
    "First we can examine the two outputs. Here `minimum` is a dictionary containing two variables, one (a DataFrame called `Output`) contains the saturation temperature of the three phases of interest and the temperature offsets between the different mineral pairs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "21e31fe3",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>P_bar</th>\n",
       "      <th>quartz1</th>\n",
       "      <th>plagioclase1</th>\n",
       "      <th>alkali-feldspar1</th>\n",
       "      <th>quartz1 - plagioclase1</th>\n",
       "      <th>quartz1 - alkali-feldspar1</th>\n",
       "      <th>plagioclase1 - alkali-feldspar1</th>\n",
       "      <th>3 Phase Saturation</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>250.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>903.7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>325.396825</td>\n",
       "      <td>NaN</td>\n",
       "      <td>888.3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>400.793651</td>\n",
       "      <td>NaN</td>\n",
       "      <td>874.9</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>476.190476</td>\n",
       "      <td>NaN</td>\n",
       "      <td>863.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>551.587302</td>\n",
       "      <td>NaN</td>\n",
       "      <td>852.3</td>\n",
       "      <td>830.3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>22.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        P_bar  quartz1  plagioclase1  alkali-feldspar1  \\\n",
       "0  250.000000      NaN         903.7               NaN   \n",
       "1  325.396825      NaN         888.3               NaN   \n",
       "2  400.793651      NaN         874.9               NaN   \n",
       "3  476.190476      NaN         863.0               NaN   \n",
       "4  551.587302      NaN         852.3             830.3   \n",
       "\n",
       "   quartz1 - plagioclase1  quartz1 - alkali-feldspar1  \\\n",
       "0                     NaN                         NaN   \n",
       "1                     NaN                         NaN   \n",
       "2                     NaN                         NaN   \n",
       "3                     NaN                         NaN   \n",
       "4                     NaN                         NaN   \n",
       "\n",
       "   plagioclase1 - alkali-feldspar1  3 Phase Saturation  \n",
       "0                              NaN                 NaN  \n",
       "1                              NaN                 NaN  \n",
       "2                              NaN                 NaN  \n",
       "3                              NaN                 NaN  \n",
       "4                             22.0                 NaN  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "minimum['Output'].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ab1330c",
   "metadata": {},
   "source": [
    "The second variable in `minimum` is called `CurveMin` and represents a dictionary containing a series of key-value pairs, including the pressure estimated for mineral co-saturation (`P_min`) for each mineral-mineral pair and for 3 phase saturation (pressure here is given in bars)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "08f730cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2078.846614022493"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "minimum['CurveMin']['quartz1 - plagioclase1']['P_min']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4584abe1",
   "metadata": {},
   "source": [
    "The second output (`xstal`) contains the full results of the crystallization calculations, as you would receive if you ran these calculations through the `isobaric_crystallisation` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8e74c735",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>T_C</th>\n",
       "      <th>P_bar</th>\n",
       "      <th>mass_g</th>\n",
       "      <th>H_J</th>\n",
       "      <th>S_J/K</th>\n",
       "      <th>V_cm^3</th>\n",
       "      <th>rho_kg/m^3</th>\n",
       "      <th>log10(fO2)</th>\n",
       "      <th>dVdP_cm^3/bar</th>\n",
       "      <th>H2O_Fl</th>\n",
       "      <th>...</th>\n",
       "      <th>H_J_Plag</th>\n",
       "      <th>S_J/K_Plag</th>\n",
       "      <th>Cp_J/(kg.K^2)_Plag</th>\n",
       "      <th>dCpdT_J/(kg.K^2)_Plag</th>\n",
       "      <th>dVdT_cm^3/K_Plag</th>\n",
       "      <th>dPdT_bar/K_Plag</th>\n",
       "      <th>d2VdT2_cm^3/K^2_Plag</th>\n",
       "      <th>d2VdTdP_cm^3/(bar.K)_Plag</th>\n",
       "      <th>d2VdP2_cm^3/bar^2_Plag</th>\n",
       "      <th>molwt_Plag</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>904.7</td>\n",
       "      <td>250.0</td>\n",
       "      <td>100.015640</td>\n",
       "      <td>-1.329559e+06</td>\n",
       "      <td>373.782312</td>\n",
       "      <td>361.478627</td>\n",
       "      <td>276.684796</td>\n",
       "      <td>-11.805683</td>\n",
       "      <td>-1.325382</td>\n",
       "      <td>100.0</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>903.7</td>\n",
       "      <td>250.0</td>\n",
       "      <td>100.015651</td>\n",
       "      <td>-1.329767e+06</td>\n",
       "      <td>373.605310</td>\n",
       "      <td>361.252958</td>\n",
       "      <td>276.857666</td>\n",
       "      <td>-11.823668</td>\n",
       "      <td>-1.324726</td>\n",
       "      <td>100.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-4057.577301</td>\n",
       "      <td>0.664751</td>\n",
       "      <td>1221.686553</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.255283e-10</td>\n",
       "      <td>9.477135e-13</td>\n",
       "      <td>1.065071e-12</td>\n",
       "      <td>264.964408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>902.7</td>\n",
       "      <td>250.0</td>\n",
       "      <td>100.015662</td>\n",
       "      <td>-1.329977e+06</td>\n",
       "      <td>373.426732</td>\n",
       "      <td>361.030413</td>\n",
       "      <td>277.028355</td>\n",
       "      <td>-11.841684</td>\n",
       "      <td>-1.324086</td>\n",
       "      <td>100.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-8245.402384</td>\n",
       "      <td>1.350171</td>\n",
       "      <td>1221.597218</td>\n",
       "      <td>0.000059</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.552248e-10</td>\n",
       "      <td>1.955436e-12</td>\n",
       "      <td>2.164643e-12</td>\n",
       "      <td>264.958944</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>901.7</td>\n",
       "      <td>250.0</td>\n",
       "      <td>100.015672</td>\n",
       "      <td>-1.330187e+06</td>\n",
       "      <td>373.248579</td>\n",
       "      <td>360.806568</td>\n",
       "      <td>277.200254</td>\n",
       "      <td>-11.859730</td>\n",
       "      <td>-1.323440</td>\n",
       "      <td>100.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-12395.610216</td>\n",
       "      <td>2.028751</td>\n",
       "      <td>1221.507895</td>\n",
       "      <td>0.000089</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.271205e-09</td>\n",
       "      <td>2.984838e-12</td>\n",
       "      <td>3.254631e-12</td>\n",
       "      <td>264.953646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>900.7</td>\n",
       "      <td>250.0</td>\n",
       "      <td>100.015683</td>\n",
       "      <td>-1.330396e+06</td>\n",
       "      <td>373.070849</td>\n",
       "      <td>360.581424</td>\n",
       "      <td>277.373365</td>\n",
       "      <td>-11.877807</td>\n",
       "      <td>-1.322789</td>\n",
       "      <td>100.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-16508.162110</td>\n",
       "      <td>2.700490</td>\n",
       "      <td>1221.418605</td>\n",
       "      <td>0.000118</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.673374e-09</td>\n",
       "      <td>4.036203e-12</td>\n",
       "      <td>4.334996e-12</td>\n",
       "      <td>264.948509</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 87 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     T_C  P_bar      mass_g           H_J       S_J/K      V_cm^3  rho_kg/m^3  \\\n",
       "0  904.7  250.0  100.015640 -1.329559e+06  373.782312  361.478627  276.684796   \n",
       "1  903.7  250.0  100.015651 -1.329767e+06  373.605310  361.252958  276.857666   \n",
       "2  902.7  250.0  100.015662 -1.329977e+06  373.426732  361.030413  277.028355   \n",
       "3  901.7  250.0  100.015672 -1.330187e+06  373.248579  360.806568  277.200254   \n",
       "4  900.7  250.0  100.015683 -1.330396e+06  373.070849  360.581424  277.373365   \n",
       "\n",
       "   log10(fO2)  dVdP_cm^3/bar  H2O_Fl  ...      H_J_Plag  S_J/K_Plag  \\\n",
       "0  -11.805683      -1.325382   100.0  ...           NaN         NaN   \n",
       "1  -11.823668      -1.324726   100.0  ...  -4057.577301    0.664751   \n",
       "2  -11.841684      -1.324086   100.0  ...  -8245.402384    1.350171   \n",
       "3  -11.859730      -1.323440   100.0  ... -12395.610216    2.028751   \n",
       "4  -11.877807      -1.322789   100.0  ... -16508.162110    2.700490   \n",
       "\n",
       "   Cp_J/(kg.K^2)_Plag  dCpdT_J/(kg.K^2)_Plag  dVdT_cm^3/K_Plag  \\\n",
       "0                 NaN                    NaN               NaN   \n",
       "1         1221.686553               0.000029          0.000004   \n",
       "2         1221.597218               0.000059          0.000007   \n",
       "3         1221.507895               0.000089          0.000011   \n",
       "4         1221.418605               0.000118          0.000014   \n",
       "\n",
       "   dPdT_bar/K_Plag  d2VdT2_cm^3/K^2_Plag  d2VdTdP_cm^3/(bar.K)_Plag  \\\n",
       "0              NaN                   NaN                        NaN   \n",
       "1              NaN          4.255283e-10               9.477135e-13   \n",
       "2              NaN          8.552248e-10               1.955436e-12   \n",
       "3              NaN          1.271205e-09               2.984838e-12   \n",
       "4              NaN          1.673374e-09               4.036203e-12   \n",
       "\n",
       "   d2VdP2_cm^3/bar^2_Plag  molwt_Plag  \n",
       "0                     NaN         NaN  \n",
       "1            1.065071e-12  264.964408  \n",
       "2            2.164643e-12  264.958944  \n",
       "3            3.254631e-12  264.953646  \n",
       "4            4.334996e-12  264.948509  \n",
       "\n",
       "[5 rows x 87 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xstal['Run 0']['All'].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fe5b996",
   "metadata": {},
   "source": [
    "Now that we have looked out the outputs we can use a series of in-built plotting functions to visualise the results. For example, we can view the saturation surfaces of the three phases against pressure. For both of the plotting functions we need to pass the `minimum` variable as the `Results`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fa9b920f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 500x400 with 1 Axes>,\n",
       " <Axes: xlabel='P (bars)', ylabel='T ($\\\\degree$C)'>)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ptt.plot_surfaces(Results = minimum, P_bar = P_bar, phases = phases)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e886126",
   "metadata": {},
   "source": [
    "Alternatively we can examine the residual temperatures and how these vary with pressure (along with the spline fit)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7fb756c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1VkTEDAoLC/F4PI1yGDTOa21x2223cd999+FwOFi3bh3/+c9/2L59O6ecckqT/WF7Rg+vqqoiNTWV3bt38/LLLzNgwIB2x3u4a665pkHO9OXU6bq8X1/de3h4rqhvzZo1XHzxxSQnJ/Pcc8+xdetWtm/fzjXXXIPb7fa2y8/Pp0uXLiQkJDR4vi8/t6t7/ebyWd3jdWPjHHXUUa3Osz6Px8PkyZNZs2YN8+bN48033+S9997zjrFS/zN/4YUXmDVrFk8//TSjR48mISGBq666igMHDgB4f0KRmpraaN9lyZIlGIbh/cmfSEfSb8xFOkBTA38kJSXRtWvXRgOr1X+87q/FYuGdd95p8jfPvv4O+sCBAyQnJ3v/r6qqIj8/v8lCvDXPPfccEyZM4PHHH28w/eeff27U9uqrr+bqq6+mtLSUt99+m/nz5zNt2jR2797NoEGDSEpK4uSTT+bBBx9s8rXqCszmnH322Zx99tlUV1fz/vvv89e//pVbbrmFPn36cOmll7J69WoiIyN56aWXGhxdd7lcPi9v3fPKy8sbTG/uoEFTn/eGDRvYv38/Gzdu9H5LDjUD5RyJxMREvv/++0bT9+/fD/z/9UhEJBTFx8djsVi8RVF9h09rrq9uquis+43wQw891GB6Xl5ek99qt2cAr1//+te8+eabvPzyy5xyyiltfn5LFixYwJw5c7z/9+jRo9XnNJX3697DlvYFnnvuOYYMGcILL7zQ4H04/H1OTEykqqqKgoKCBsV5U5/d4epev7l8VpfL6kZy/+6771qdZ32ff/45n3zyCStXrmTWrFne6V999VWjtklJSTz66KM8+uij7N27l5ycHO68805+/PFHXn31VW8sf/3rX5u9co8vByNE2krfmIv4ybRp0/j6669JTEzk9NNPb3SrG7l12rRpGIZBbm5uk+1OOukkn17vH//4R4P///Wvf1FVVeUdqK0tLBZLowMCn376aaPBbuqLjY1lypQp3HPPPVRUVLBjxw6gZvk+//xzhg4d2uTytVaY14mIiGDUqFHeEc0//PBDb6xdunRpcPp2WVkZq1atajSPw88MqFP3WXz66acNpufk5PgUW10cda9R35NPPtlkHHVxtua8885j586d3uWt8+yzz2KxWJg4caLPMYqImE1sbCxnnnkma9asafDt7M8//9xowLI+ffoQExPTqK9uavTwpvLY+vXryc3N9Tm2lvrqe++9lxUrVvD0009z/vnn+zxPXw0ePLhBrjx8sLrmHL4v8PzzzwO0uC9gsViIiopqUJQfOHCg0ftad9D5hRdeaDB99erVrcY1evRounbtynPPPddg+nfffceGDRu8ZwQMGzaMoUOHkpGR0ejAQEvakoPrGzhwIHPmzGHSpEnePDt27FhsNhs7d+5scr/l9NNPJyoqyufYRHylb8xF/OSWW27hxRdf5JxzzuHWW2/l5JNPxuPxsHfvXl577TVuv/12Ro0axdixY/n1r3/N1Vdfzfvvv88555xDbGws33//PZs3b+akk07iN7/5Tauvt2bNGrp06cKkSZO8o7KfcsopjX4L5otp06bxhz/8gfnz5zN+/Hh27drFAw88wJAhQxpc4uy6666ja9eujB07ln79+nHgwAEWL15MXFwcZ5xxBgAPPPAAr7/+OmPGjOG3v/0tw4cPx+12s2fPHl5++WWeeOKJZk9Ze+KJJ9iwYQNTp05l4MCBuN1u7xkIdTtCU6dO5ZFHHuHyyy/n17/+Nfn5+SxbtqzJMw1OOukkVq9ezQsvvMDRRx9NTEwMJ510EmeccQbDhw9n7ty5VFVVER8fj9PpZPPmzT6/Z2PGjCE+Pp4bbriB+fPnExkZyT/+8Q8++eSTJuMAWLJkCVOmTCEiIoKTTz65yUR/66238uyzzzJ16lQeeOABBg0axPr163nsscf4zW9+w7Bhw3yOUUTEjP7whz9wwQUXMGnSJG6//Xaqq6tZsmQJsbGxDU4ZrhuPJSMjg6FDh3LKKafw3nvveYvP+qZNm8bKlSsZMWIEJ598Mh988AEPP/xwm06RPvHEEwF46qmn6NGjBzExMQwZMoQNGzbw4IMPkpqayrBhwxpckjI6Oppf/OIXQM1p2XW/y667TNsrr7zivcZ3/bOrOkJUVBR/+tOfOHjwIGeccYZ3VPYpU6Ywbty4Zp83bdo01qxZw4033khqair79u3jD3/4A/369ePLL7/0trvgggsYO3Yst99+OyUlJZx22mls3bqVZ599Fmj58nA2m4377ruPu+++m6uuuorLLruM/Px8Fi5cSExMjPd671BzdRG73c5ZZ53FrbfeysCBA9m7dy///ve/Gx14qDNixAiGDh3KnXfeiWEYJCQksG7dugY/rQMoLi5m4sSJXH755YwYMYIePXqwfft2Xn31VWbMmAFA9+7d+etf/8qsWbMoKCggNTWV3r1789NPP/HJJ5/w008/NTij8JVXXqG0tNR7VuHOnTvJzs4G4MILL/ReQUakVcEceU4kmHwZlT0rK6vB9KZGhB0/frxxwgknNDmfgwcPGvfee68xfPhwIyoqyoiLizNOOukk49ZbbzUOHDjQoG1GRoYxatQoIzY21ujatasxdOhQ46qrrjLef//9FpejblT2Dz74wLDb7Ub37t2NHj16GJdddpnxww8/NGg7aNAgY+rUqY3mMX78+AajlZeXlxtz5841kpOTjZiYGGPkyJGGy+UyZs2aZQwaNMjbLjMz05g4caLRp08fIyoqyujfv79x8cUXG59++mmD+f/000/Gb3/7W2PIkCFGZGSkkZCQYJx22mnGPffcYxw8eLDZZdu6dauRkpJiDBo0yIiOjjYSExON8ePHGzk5OY3eu+HDhxvR0dHG0UcfbSxevNh45plnGo3YumfPHmPy5MlGjx49DKDBsuzevduYPHmy0bNnT6NXr17GzTff7B2B9vBR2Zv7vN99911j9OjRRrdu3YxevXoZ1157rfHhhx82WmfKy8uNa6+91ujVq5dhsVgaxNnUaLnffvutcfnllxuJiYlGZGSkMXz4cOPhhx82qqurvW3q1s2HH364UVxolFgRMbmcnBzj5JNPNqKiooyBAwcaf/zjH735rb7i4mLj2muvNfr06WPExsYadrvd2LNnT6N+rrCw0Jg9e7bRu3dvo1u3bsa4ceOMd955p1G+ay7f13n00UeNIUOGGBEREd6+vC6upm7180rdvJu6NXWFkCNRt0/z6aefGhMmTDC6du1qJCQkGL/5zW8a5dmm8swf//hHY/DgwUZ0dLRx3HHHGX//+9+bfP8LCgqMq6++2rDZbEa3bt2MSZMmGdu2bWs0Inxzo6Y//fTT3s85Li7OuOiii5q8OsvWrVuNKVOmGHFxcUZ0dLQxdOjQBqPpNzX/nTt3GpMmTTJ69OhhxMfHG2lpacbevXsbrBtut9u44YYbjJNPPtno2bOn0bVrV2P48OHG/PnzjdLS0gYxbNq0yZg6daqRkJBgREZGGsnJycbUqVMbrSuDBg1q9nP21yj8Ep4shmEYfq38RcSvFixYwMKFC/npp5/0e2MREQkbdflNu6qtS09PJzs7m4MHDwb8tZ9//nmuuOIKtmzZwpgxYwL++iLhQqeyi4iIiIhIq/75z3+Sm5vLSSedhNVqZdu2bTz88MOcc845KspFjpAKcxERERERaVWPHj1YvXo1ixYtorS0lH79+pGens6iRYuCHZpIyNOp7CIiIiIiIiJBpMuliYiIiIiIiASRCnMRERERERGRIFJhLiIiIiIiIhJEnXLwN4/Hw/79++nRowcWiyXY4YiIiPiNYRj8/PPP9O/fH6vVHMfjlYdFRKSz8DUPd8rCfP/+/QwYMCDYYYiIiATMvn37OOqoo4IdBqA8LCIinU9redhUhfnixYtZs2YN//3vf+natStjxoxhyZIlDB8+3NsmPT2dzMzMBs8bNWoU27Zt8/l1evToAdS8OT179uyY4EVEREyopKSEAQMGeHOfGSgPi4hIZ+FrHjZVYb5p0yZuuukmzjjjDKqqqrjnnnuYPHkyO3fuJDY21tvuggsuYMWKFd7/o6Ki2vQ6dafN9ezZUzsEIiLSKZjplHHlYRER6Wxay8OmKsxfffXVBv+vWLGC3r1788EHH3DOOed4p0dHR9O3b99AhyciIiIiIiLS4UxVmB+uuLgYgISEhAbTN27cSO/evbHZbIwfP54HH3yQ3r17Nzuf8vJyysvLvf+XlJT4J2ARERFpRHlYRESkZeYYnrUJhmFw2223MW7cOE488UTv9ClTpvCPf/yDDRs28Kc//Ynt27dz7rnnNkj4h1u8eDFxcXHemwacERERCRzlYRERkZZZDMMwgh1EU2666SbWr1/P5s2bWxy97vvvv2fQoEGsXr2aGTNmNNmmqSP1AwYMoLi4WL9tExGRsFZSUkJcXFxQc57ysIiIdFa+5mFTnsp+8803k5OTw9tvv93qpV369evHoEGD+PLLL5ttEx0dTXR0dEeHKSIiIj5QHhYREWmZqQpzwzC4+eabcTqdbNy4kSFDhrT6nPz8fPbt20e/fv0CEKGIiIiIiIhIxzLVb8xvuukmnnvuOZ5//nl69OjBgQMHOHDgAGVlZQAcPHiQuXPnsnXrVvbs2cPGjRux2+0kJSWRkpIS5OhFRERERERE2s5U35g//vjjAEyYMKHB9BUrVpCenk5ERASfffYZzz77LEVFRfTr14+JEyfywgsvtHrBdrNyu91kZWXhcrnIzy8iMdGGw+EgLS2NmJiYYIcnIiIS1pSHRUTEDEw7+Js/mWEgHICcnBzS02dTWJiH1ToOjycZqzUXj2cz8fFJZGZmYLfbgxafiIiEPrPkvPrMEpPysIiI+JuvOc9Up7J3Jjk5OTgcKRQVjQV24fG8A6yu/buLoqKxXHSRg5ycnCBHKiIiEn6Uh0VExEz0jXkQjtS73W769x9AUdFYDONFIKKJVtVYLDOx2bawf/8+nU4nIiLtEuyc15Rgx6Q8LCIigaJvzE0sKyuLwsI8DGMpTe8MAERgGEsoLMwjOzs7kOGJiIiENeVhERExGxXmQeByubBaxwHDWmk5HKt1LE6nMxBhiYiIdArKwyIiYjYqzIMgP78IjyfZp7YeTzIFBUX+DUhERKQTUR4WERGzUWEeBImJNqzWXJ/aWq25JCTY/BuQiIhIJ6I8LCIiZqPCPAgcDgcez2Zgdystd+HxbCElJSUQYYmIiHQKysMiImI2KsyDIC0tjfj4JCyWeUB1M62qsVh+T3x8EqmpqYEMT0REJKwpD4uIiNmoMA+CmJgYMjMzgHVYLDNpfMR+V+30dWRmZugSLSIiIh1IeVhERMxGhXmQ2O12XC4nNtsWakZ9HQdcUvt3BDbbFtaudWG324McqYhIY263m1WrVjFz5kwmTDiPmTNnsmrVKtxud7BDE/GJ8rCIhDLl4fBjMQzDCHYQgebrRd4Dwe12k52djdPppKCgiIQEGykpKaSmpuoIvYiYUk5ODunpsykszMNqHYfHk4zVmovHs5n4+CQyMzNUzJiImXJeHTPFpDwsIqFGeTi0+JrzVJibZCdFRCQU5OTk4HCkAHYMYykNrwO9u/Y3u+twuZxMnz49OEFKA2bMeWaMSUQkFCgPhx4V5i3QDoGISNu53W769x9AUdFYDONFIKKJVtVYLDOx2bawf/8+feNoAmbMeWaMSUTE7JSHQ5OvOU+/MRcREZ9kZWVRWJhXe4S+qZ0BgAgMYwmFhXlkZ2cHMjwREZGwpjwc3lSYi4iIT1wuV+3AWMNaaTkcq3UsTqczEGGJiIh0CsrD4U2FuYiI+CQ/vwiPJ9mnth5PMgUFRf4NSEREpBNRHg5vKsxFRMQniYk2rNZcn9parbkkJNj8G5CIiEgnojwc3lSYi4iITxwOBx7PZmB3Ky134fFsISUlJRBhiYiIdArKw+FNhbmIiPgkLS2N+Pik2kuxVDfTqhqL5ffExyeRmpoayPBERETCmvJweFNhLiIiPomJiSEzMwNYh8Uyk8ZH7HfVTl9HZmaGLtEiIiLSgZSHw5sKcxER8ZndbsflcmKzbaFm1NdxwCW1f0dgs21h7VoXdrs9yJGKiIiEH+Xh8NUl2AFIy9xuN1lZWbhcLvLzi0hMtOFwOEhLS9NRMBHxm5b6nunTp7N//z6ys7NxOp0UFOSRkNCHlJRVpKamqm+SsKI8LCLBoDzc+VgMwzCCHUSglZSUEBcXR3FxMT179gx2OM3KyckhPX02hYV5WK3j8HiSsVpz8Xg2Ex+fRGZmho6GiUiHU98TXsyY88wYU1O0LYhIMKjvCS++5jydym5SOTk5OBwpFBWNpWZkxXeA1bV/d1FUNJaLLnKQk5MT5EhFJJyo7xGpoW1BRIJBfU/npW/MTXik3u1207//AIqKxmIYLwIRTbSqxmKZic22hf379+mUFRE5Yup7wpMZc54ZY6pP24KIBIP6nvCkb8xDWFZWFoWFeRjGUpreIAEiMIwlFBbmkZ2dHcjwRCRMqe8RqaFtQUSCQX1P56bC3IRcLlftyIrDWmk5HKt1LE6nMxBhiUiYU98jUkPbgogEg/qezk2FuQnl5xfh8ST71NbjSaagoMi/AYlIp6C+R6SGtgURCQb1PZ2bCnMTSky0YbXm+tTWas0lIcHm34BEpFNQ3yNSQ9uCiASD+p7OTYW5CTkcDjyezcDuVlruwuPZQkpKSiDCEpEwp75HpIa2BREJBvU9nZtGZddosCIigPqecGXGnGfGmOrTtiAiwaC+JzxpVPYQFhMTQ2ZmBrAOi2UmjY+a7aqdvo7MzAxtkCLSIdT3iNTQtiAiwaC+p3NTYW5Sdrsdl8uJzbaFmpEXxwGX1P4dgc22hbVrXdjtdtxuN6tWrWLmzJlMmHAeM2fOZNWqVbjd7iAvhYiEmrb0PSLhTHlYRIJBebjz0qnsJjyFrj632012djZOp5OCgiISEmykpKSQmppKTEwMOTk5pKfPprAwD6t1HB5PMlZrLh7PZuLjk8jMzNCGKyJt1lrfI6HDjDnPjDE1R3lYRIJBeTh8+JrzVJibfIegJTk5OTgcKYAdw1hKw2se7sZimQesw+VyMn369OAEKSIiQWXGnGfGmNpDeVhERFqjwrwF4bBDoMEhRETEF2bMeWaMqa2Uh0VExBca/C3MZWVlUViYV3uEvqmdAYAIDGMJhYV5ZGdnBzI8ERGRsKY8LCIiHUmFeYhyuVy1g0AMa6XlcKzWsTidzkCEJSIi0ikoD4uISEdSYR6i8vOL8HiSfWrr8SRTUFDk34BEREQ6EeVhERHpSCrMQ1Riog2rNdentlZrLgkJNv8GJCIi0okoD4uISEdSYR6iHA4HHs9mYHcrLXfh8WwhJSUlEGGJiIh0CsrDIiLSkVSYh6i0tDTi45NqL8VS3UyraiyW3xMfn0RqamogwxMREQlrysMiItKRVJiHqJiYGDIzM4B1WCwzaXzEflft9HVkZmboEi0iIiIdSHlYREQ6kgrzEGa323G5nNhsW6gZ9XUccEnt3xHYbFtYu9aF3W4PcqQiYiZut5tVq1Yxc+ZMJkw4j5kzZ7Jq1SrcbnewQxMJKcrDItJeysVyOIthGEawgwg0Xy/yHircbjfZ2dk4nU4KCopISLCRkpJCamqqjtCLSAM5OTmkp8+msDAPq3UcHk8yVmsuHs9m4uOTyMzMUBERZsyY88wY05FQHhaRtlAu7lx8zXmmKswXL17MmjVr+O9//0vXrl0ZM2YMS5YsYfjw4d42hmGwcOFCnnrqKQoLCxk1ahTLly/nhBNO8Pl1wm2HQETEFzk5OTgcKYAdw1hKw+sv7679rew6XC4n06dPD06Q0uHMmPPMGJOISCAoF3c+vuY8U53KvmnTJm666Sa2bdvG66+/TlVVFZMnT6a0tNTbZunSpTzyyCP87W9/Y/v27fTt25dJkybx888/BzFyERFzc7vdpKfPpmZH4EUa7ggADKudbic9fbZOpRMREelgysXSElMV5q+++irp6emccMIJnHLKKaxYsYK9e/fywQcfADXflj/66KPcc889zJgxgxNPPJHMzEwOHTrE888/H+ToRUTMKysri8LCvNqj8xHNtIrAMJZQWJhHdnZ2IMMTEREJe8rF0hJTFeaHKy4uBiAhIQGAb775hgMHDjB58mRvm+joaMaPH8+7777b7HzKy8spKSlpcBMR6UxcLlftgFSHH50/3HCs1rE4nc5AhCWdhPKwiIhysbTMtIW5YRjcdtttjBs3jhNPPBGAAwcOANCnT58Gbfv06eN9rCmLFy8mLi7OexswYID/AhcRMaH8/CI8nmSf2no8yRQUFPk3IOlUlIdFRJSLpWWmLcznzJnDp59+yj//+c9Gj1kslgb/G4bRaFp9d911F8XFxd7bvn37OjxeEREzS0y0YbXm+tTWas0lIcHm34CkU1EeFhFRLpaWmbIwv/nmm8nJyeGtt97iqKOO8k7v27cvQKNvx3/88cdG36LXFx0dTc+ePRvcREQ6E4fDgcezGdjdSstdeDxbSElJCURY0kkoD4uIKBdLy0xVmBuGwZw5c1izZg0bNmxgyJAhDR4fMmQIffv25fXXX/dOq6ioYNOmTYwZMybQ4YqIhIy0tDTi45NqL8NS3UyraiyW3xMfn0RqamogwxMREQl7ysXSElMV5jfddBPPPfcczz//PD169ODAgQMcOHCAsrIyoOYU9ltuuYWHHnoIp9PJ559/Tnp6Ot26dePyyy8PcvQiIuYVExNDZmYGsA6LZSaNj9bvqp2+jszMDGJiYgIfpIiISBhTLpaWdAl2APU9/vjjAEyYMKHB9BUrVpCeng7AvHnzKCsr48Ybb6SwsJBRo0bx2muv0aNHjwBHGzrcbjdZWVm4XC7y84tITLThcDhIS0vTBi8Shlra5l0uJ+npsyksrBnx1eNJxmrNxePZgs2WRGamC7vdHuxFEAkrysMinUtL27zdblculiZZDMMwgh1EoJWUlBAXF0dxcXHY/84tJyendsPPw2odV2/D30x8fBKZmRna8EXCiC/b/KRJk8jOzsbpdFJQUERCgo2UlBRSU1NVJIQhM+Y8M8bkL8rDIp2Lr9u82+1WLu4kfM15KszDeIcgJycHhyMFsGMYS2l4zcTdtb9vWYfL5WT69OnBCVJEOoy2eWmKGXOeGWPyB22TIp2LtnlpigrzFnSGHQK3203//gMoKhqLYbwIRDTRqhqLZSY22xb279+no3MiIUzbvDTHjDnPjDF1NG2TIp2Ltnlpjq85z1SDv0nHycrKorAwr/ZoXVMdA0AEhrGEwsI8srOzAxmeiHQwbfMi5qJtUqRz0TYvR0qFeZhyuVxYreNoeApNU2oGnXA6nYEIS0T8RNu8iLlomxTpXLTNy5FSYR6m8vOL8HiSfWrr8SRTUFDk34BExK+0zYuYi7ZJkc5F27wcKRXmYSox0YbVmutTW6s1l4QEm38DEhG/0jYvYi7aJkU6F23zcqRUmIcph8OBx7MZ2N1Ky114PFtISUkJRFgi4ifa5kXMRdukSOeibV6OlEZl12iwGhlSJAxom5fmmDHnmTGmjqZtUqRz0TYvzdGo7J1cTEwMmZkZwDoslpk0Pnq3q3b6OjIzM9QxiIQ4bfMi5qJtUqRz0TYvR0qFeRiz2+24XE5sti3UjAA5Drik9u8IbLYtrF3rwm63BzlSEekI2uZFzEXbpEjnom1ejoROZQ/TU+jqc7vdZGdn43Q6KSgoIiHBRkpKCqmpqd6jdW63m6ysLFwuF/n5RSQm2nA4HKSlpemInojJtLa9+rLNS+dhxpxnxpj8SXlYJLwoD0tb+JrzVJh3gh2C1uTk5JCePpvCwjys1nF4PMlYrbl4PJuJj08iMzNDR/ZETELbq7SVGXOeGWMKJm3XIqFD26u0lX5jLj7JycnB4UihqGgsNaNEvgOsrv27i6KisVx0kYOcnJwgRyoi2l5Fwo+2a5HQoe1V/EnfmHfiI/UaPVIkdGh7lfYyY84zY0zBoO1aJHRoe5X20jfm0qqsrCwKC/MwjKU03bkARGAYSygszCM7OzuQ4YlIPdpeRcKPtmuR0KHtVfxNhXkn5nK5akeJHNZKy+FYrWNxOp2BCEtEmqDtVST8aLsWCR3aXsXfVJh3Yvn5RXg8yT619XiSKSgo8m9AItIsba8i4UfbtUjo0PYq/qbCvBNLTLRhteb61NZqzSUhwebfgESkWdpeRcKPtmuR0KHtVfxNhXkn5nA48Hg2A7tbabkLj2cLKSkpgQhLRJqg7VUk/Gi7Fgkd2l7F3zQqu0aD1eiSIiFA26u0lxlznhljCgZt1yKhQ9urtJdGZZdWxcTEkJmZAazDYplJ4yOAu2qnryMzM0Odi0gQaXsVCT/arkVCh7ZX8TcV5p2c3W7H5XJis22hZhTJccAltX9HYLNtYe1aF3a7PciRioi2V5Hwo+1aJHRoexV/0qnsnfgUuvrcbjfZ2dk4nU4KCopISLCRkpJCamqqjviJmIy2V2kLM+Y8M8YUbNquRUKHtldpC19zngpz7RCIiEgYM2POM2NMIiIi/qDfmIuIiIiIiIiEABXmIiIiIiIiIkGkwlxEREREREQkiFSYi4iIiIiIiASRCnMRERERERGRIFJhLiIiIiIiIhJEKsxFREREREREgkiFuYiIiIiIiEgQdQl2ABIa3G43WVlZuFwu8vOLSEy04XA4SEtLIyYmJtjhiYQNbWsi0hT1DSKBoW1NgsViGIYR7CACraSkhLi4OIqLi+nZs2ewwzG9nJwc0tNnU1iYh9U6Do8nGas1F49nM/HxSWRmZmC324MdpkjI07Ym/mDGnGfGmMxMfYNIYGhbE3/wNefpVHZpUU5ODg5HCkVFY4FdeDzvAKtr/+6iqGgsF13kICcnJ8iRioQ2bWsi0hT1DSKBoW1Ngk3fmOtIfbPcbjf9+w+gqGgshvEiENFEq2oslpnYbFvYv3+fTvERaQdta+JPZsx5ZozJjNQ3iASGtjXxJ31jLkcsKyuLwsI8DGMpTXdQABEYxhIKC/PIzs4OZHgiYUPbmog0RX2DSGBoWxMzUGEuzXK5XFit44BhrbQcjtU6FqfTGYiwRMKOtjURaYr6BpHA0LYmZqDCXJqVn1+Ex5PsU1uPJ5mCgiL/BiQSprStiUhT1DeIBIa2NTEDFebSrMREG1Zrrk9trdZcEhJs/g1IJExpWxORpqhvEAkMbWtiBirMpVkOhwOPZzOwu5WWu/B4tpCSkhKIsETCjrY1EWmK+gaRwNC2JmagUdk1GmyzNEKlSGBoWxN/MmPOM2NMZqS+QSQwtK2JP2lUdjliMTExZGZmAOuwWGbS+Cjirtrp68jMzFAHJdJO2tZEpCnqG0QCQ9uamEGXYAcg5ma323G5nKSnz6awsGYkSo8nGas1F49nCzZbEpmZLiZNmsSqVatwuVzk5xeRmGjD4XCQlpamzkukHrfbTVZWVpPbii/bmt1uD/YiiEgA+ZqH7XZ7i/2LcrFIDeVhMSudyq5T6HzidrvJzs7G6XRSUFBEQoKNlJQUUlNTee2112o7sTys1nH1OrHNxMcnkZmZoU5MBMjJyWl1W5k0aVKz25p2rKU9zJjzzBiT2bWUh2NiYnzqX5SLpbNTHpZg8DnnGSazadMmY9q0aUa/fv0MwHA6nQ0enzVrlgE0uI0aNapNr1FcXGwARnFxcQdG3jmtXbvWsFishsVykQG7DDDq3XYZFstFhsViNdauXRvsUEWCStuKBIsZc54ZYwpl6l9EWqftRILF15xnum/MX3nlFbZs2cLIkSOZOXMmTqcTh8PhfTw9PZ0ffviBFStWeKdFRUWRkJDg82voSH3H0EAZIr7RtiLBZMacZ8aYQpX6F5HWaTuRYArZwd+mTJnCokWLmDFjRrNtoqOj6du3r/fWlqJcOk5WVhaFhXkYxlKa7uAAIjCMJRQW5pGdnR3I8ERMQ9uKiPiL+heR1mk7kVBgusLcFxs3bqR3794MGzaM6667jh9//LHF9uXl5ZSUlDS4yZFzuVxYreOAYa20rBlAw+l0BiIsEdPRtiKdnfKw/6h/EWmdthMJBSFXmE+ZMoV//OMfbNiwgT/96U9s376dc889l/Ly8mafs3jxYuLi4ry3AQMGBDDi8JWfX4THk+xTW48nmYKCIv8GJGJS2laks1Me9h/1LyKt03YioSDkCvNLLrmEqVOncuKJJ2K323nllVfYvXs369evb/Y5d911F8XFxd7bvn37Ahhx+EpMtGG15vrU1mrNJSHB5t+ARExK24p0dsrD/qP+RaR12k4kFIRcYX64fv36MWjQIL788stm20RHR9OzZ88GNzlyDocDj2czsLuVlrvweLaQkpISiLBETEfbinR2ysP+o/5FpHXaTiQUhHxhnp+fz759++jXr1+wQ+l00tLSiI9PwmKZB1Q306oai+X3xMcnkZqaGsjwRExD24qI+Iv6F5HWaTuRUGC6wvzgwYN8/PHHfPzxxwB88803fPzxx+zdu5eDBw8yd+5ctm7dyp49e9i4cSN2u52kpCQd2QqCmJgYMjMzgHVYLDNpfBRyV+30dWRmZuiyE9JpaVsREX9R/yLSOm0nEgpMdx3zjRs3MnHixEbTZ82axeOPP47D4eCjjz6iqKiIfv36MXHiRP7whz+0aSAZXT+1Y+Xk5JCePpvCwjys1rF4PMlYrbl4PFuIj08iMzMDu92O2+0mKysLl8tFfn4RiYk2HA4HaWlp6gAlLLS2jvu6rYh0JDPmPDPGFOp86V8mTZqkPCxhTXlYzMjXnGe6wjwQtEPQ8dxuN9nZ2TidTgoKikhIsJGSkkJqamoTHeG4eh3hZnWEEhZ8Xcdb21ZEOpoZc54ZYwoHLfUvr732mvKwhDXlYTErFeYt0A5BYOXk5OBwpAB2DGMpDa8hubv29z7rcLmcTJ8+PThBihwBreNiZmbMeWaMKZypj5Jwp3VczEyFeQu0QxA4breb/v0HUFQ0FsN4EYhoolU1FstMbLYt7N+/T0crJaRoHRezM2POM2NM4Up9lIQ7reNidr7mPNMN/ibhJSsri8LCvNqjl011lAARGMYSCgvzyM7ODmR4IkdM67iImJn6KAl3WsclXKgwF79yuVxYreNoeEpRU4ZjtY7F6XQGIiyRDqN1XETMTH2UhDut4xIuuhzJkysrKzlw4ACHDh2iV69eJCQkdFRcEiby84vweJJ9auvxJFNQkOfniEQ6ltZxETEz9VES7rSOS7ho8zfmBw8e5Mknn2TChAnExcUxePBgjj/+eHr16sWgQYO47rrr2L59uz9ilRCUmGjDas31qa3VmktCgs2/AYl0MK3jImJm6qMk3Gkdl3DRpsL8z3/+M4MHD+bvf/875557LmvWrOHjjz9m165dbN26lfnz51NVVcWkSZO44IIL+PLLL/0Vt4QIh8OBx7MZ2N1Ky114PFtISUkJRFgiHUbruIiYmfooCXdaxyVctGlU9rS0NO6//35OOumkFtuVl5fzzDPPEBUVxbXXXnvEQXY0jQYbOBopU8Kd1nExOzPmPDPGFK7UR0m40zouZueXUdmzsrJaLcoBoqOjufHGG01ZlEtgxcTEkJmZAazDYplJ46OZu2qnryMzM0MdpYQcreMiYmbqoyTcaR2XcKFR2cXv7HY7LpcTm20LNSNijgMuqf07ApttC2vXurDb7UGOVKR9tI6LiJmpj5Jwp3VcwkGbTmUH2LBhA3PmzGHbtm2NvoovLi5mzJgxPPHEE5x99tkdGmhH0il0weF2u8nOzsbpdFJQUERCgo2UlBRSU1N19FLCgtZxMSMz5jwzxtQZqI+ScKd1XMzI15zX5sJ8+vTpTJw4kVtvvbXJx//v//6Pt956y9TXCNQOgYiIdBZmzHlmjElERMQf/PIbc4BPPvmECy64oNnHJ0+ezAcffNDW2YqIiIiIiIh0Sm0uzH/44QciIyObfbxLly789NNPRxSUiIiIiIiISGfR5sI8OTmZzz77rNnHP/30U/r163dEQYmIiIiIiIh0Fm0uzC+88ELuv/9+3G53o8fKysqYP38+06ZN65DgRERERERERMJdl7Y+4d5772XNmjUMGzaMOXPmMHz4cCwWC1988QXLly+nurqae+65xx+xioiIiIiIiISdNhfmffr0YcuWLdx4443cdddd1A3qbrFY+OUvf8ljjz1Gnz59OjxQERERERERkXDU5sIcYPDgwbz88ssUFhby1VdfYRgGxx57LPHx8R0dn4iIiIiIiEhYa3NhXlZWxqOPPkpxcTG/+93vOOOMM/wRl4iIiIiIiEin0ObB32bPns1XX31FYmIi559/vj9iEhEREREREek02vyN+caNG3n99dc54YQTuOeee/jxxx/p3bu3P2KTTsbtdpOVlYXL5SI/v4jERBsOh4O0tDRiYmKCHZ6I1lERCWvq48TstI5KOLMYdaO3+eiyyy6jR48eDBs2jCeeeIKvvvrKX7H5TUlJCXFxcRQXF9OzZ89ghyNATk4O6emzKSzMw2odh8eTjNWai8ezmfj4JDIzM7Db7cEOUzoxraMSqsyY88wYU2enPk7MTuuohCpfc16bT2V/+umnGTRoED/88ANvvvnmEQUpAjUdrcORQlHRWGAXHs87wOrav7soKhrLRRc5yMnJCXKk0llpHRWRcKY+TsxO66h0Bm3+xjwc6Ei9ebjdbvr3H0BR0VgM40UgoolW1VgsM7HZtrB//z6dqiQBpXVUQp0Zc54ZY+qs1MeJ2WkdlVDnt2/MRTpSVlYWhYV5GMZSmu5oASIwjCUUFuaRnZ0dyPBEtI6KSFhTHydmp3VUOos2FeZ79+5t08xzc3Pb1F46H5fLhdU6DhjWSsvhWK1jcTqdgQhLxEvrqIiEM/VxYnZaR6WzaFNhfsYZZ3Ddddfx3nvvNdumuLiYv//975x44omsWbPmiAOU8JafX4THk+xTW48nmYKCIv8GJHIYraMiEs7Ux4nZaR2VzqJNl0v74osveOihh7jggguIjIzk9NNPp3///sTExFBYWMjOnTvZsWMHp59+Og8//DBTpkzxV9wSJhITbbUjarbe1mrNJSGhj/+DEqlH66iIhDP1cWJ2Wkels2jTN+YJCQksW7aM/fv38/jjjzNs2DDy8vL48ssvAbjiiiv44IMP2LJli4py8YnD4cDj2QzsbqXlLjyeLaSkpAQiLBEvraMiEs7Ux4nZaR2VzkKjsms02KDSSJtidlpHJdSZMeeZMabOSn2cmJ3WUQl1GpVdQkJMTAyZmRnAOiyWmTQ+Grqrdvo6MjMz1NFKwGkdFZFwpj5OzE7rqHQWKswl6Ox2Oy6XE5ttCzUjao4DLqn9OwKbbQtr17qw2+243W5WrVrFzJkzmTDhPGbOnMmqVatwu91BXgoJZ21ZR0VEQo3ysJid8rB0BjqVXafQmYbb7SY7Oxun00lBQREJCTZSUlJITU0lJiaGnJwc0tNnU1iYh9U6Do8nuXYwkM3ExyeRmZmhDln8qrV1VMSMzJjzzBiTKA+L+SkPSyjyNeepMNcOQUjIycnB4UgB7BjGUhpey3I3Fss8YB0ul5Pp06cHJ0gRERMyY84zY0zSMuVhEZH28dtvzK+55hp+/vnnIwpOpC3cbjfp6bOp2Rl4kYY7AwDDaqfbSU+frdPpREREOpDysIiI/7W5MM/MzKSsrMwfsYg0KSsri8LCvNoj9E2NxAkQgWEsobAwj+zs7ECGJyIiEtaUh0VE/K/NhXknPPNdgszlctUO7nH4EfrDDcdqHYvT6QxEWCIiIp2C8rCIiP+1a1R2i8XS0XGINCs/vwiPJ9mnth5PMgUFRf4NSEREpBNRHhYR8b8u7XnSsGHDWi3OCwoK2hWQyOESE221o7623tZqzSUhoY//gxIREekklIdFRPyvXYX5woULiYuL6+hYRJrkcDhYs+YqYDctn0a3C49nCykpqwIUmYiISPhTHhYR8b82Xy7NarVy4MABevfu7a+Y/E6XaQktbreb/v0HUFQ0tnbU16YGnqnGYpmJzbaF/fv36VqWIiK1zJjzzBiTNE95WESk/fx2uTT9vlwCLSYmhszMDGAdFstMao7Y17erdvo6MjMztDMgIiLSgZSHRUT8r82nsmtUdgkGu92Oy+UkPX02hYU1o756PMm1v3nbgs2WRGami0mTJrFq1SpcLhf5+UUkJtpwOBykpaVpR0Fa5Ha7ycrK0rojItIE5WEJBOVi6czafCp7ONApdKHL7XaTnZ2N0+mkoKCIhAQbKSkppKam8tprr9XuMORhtY6rt8Owmfj4JDIzM7Db7cFeBDGhnJwcrTsStsyY88wYk/hGeVj8RblYwpXPOc8wmU2bNhnTpk0z+vXrZwCG0+ls8LjH4zHmz59v9OvXz4iJiTHGjx9vfP755216jeLiYgMwiouLOzByCaa1a9caFovVsFguMmCXAUa92y7DYrnIsFisxtq1a4MdqpiM1h0Jd2bMeWaMSY6M+lI5Elp/JJz5mvNM9435K6+8wpYtWxg5ciQzZ87E6XTicDi8jy9ZsoQHH3yQlStXMmzYMBYtWsTbb7/Nrl276NGjh0+voSP14UWD0kh7ad2RzsCMOc+MMUn7qS+VI6H1R8Kd3wZ/87cpU6awaNEiZsyY0egxwzB49NFHueeee5gxYwYnnngimZmZHDp0iOeffz4I0YoZZGVlUViYh2EspenOHCACw1hCYWEe2dnZgQxPTEzrjojIkVNfKkdC649IDdMV5i355ptvOHDgAJMnT/ZOi46OZvz48bz77rvNPq+8vJySkpIGNwkfLpcLq3UcLV9bFaBmsBqn0xmIsCQEaN0RCQzl4fCmvlSOhNYfkRptGpX9tttu87ntI4880uZgWnPgwAEA+vTp02B6nz59+Pbbb5t93uLFi1m4cGGHxyPmkJ9fhMeT7FNbjyeZgoI8P0ckoULrjkhgKA+HN/WlciS0/ojUaFNh/tFHH/nUzt/XOj98/oZhtPiad911V4ODCiUlJQwYMMBv8UlgJSbaakftbL2t1ZpLQkKf1htKp6B1RyQwlIfDm/pSORJaf0RqtKkwf+utt/wVh0/69u0L1Hxz3q9fP+/0H3/8sdG36PVFR0cTHR3t9/gkOBwOB2vWXAXspuXToHbh8WwhJWVVgCITs9O6IxIYysPhTX2pHAmtPyI1Quo35kOGDKFv3768/vrr3mkVFRVs2rSJMWPGBDEyCaa0tDTi45OwWOYB1c20qsZi+T3x8UmkpqYGMjwxMa07IiJHTn2pHAmtPyI1jrgw37lzJ6+++io5OTkNbu118OBBPv74Yz7++GOgZsC3jz/+mL1792KxWLjlllt46KGHcDqdfP7556Snp9OtWzcuv/zyI10UCVExMTFkZmYA67BYZlJzxLW+XbXT15GZmaFLbIiX1h0RkSOnvlSOhNYfkVrtvVD6119/bZx88smGxWIxrFarYbFYvPetVmt7Z2u89dZbBtDoNmvWLMMwDMPj8Rjz5883+vbta0RHRxvnnHOO8dlnn7XpNXy9yLuElrVr1xrx8UkGYFitYw24uPYvRnx8kpGTkxPsEMWktO5IODNjzjNjTHLk1JfKkdD6I+HK15xnMQzDaE9Bb7fbiYiI4O9//ztHH3007733Hvn5+dx+++0sW7aMs88++wgPGfiPrxd5l9DjdrvJzs7G6XRSUFBEQoKNlJQUUlNTdYS1k3O73WRlZeFyucjPLyIx0YbD4SAtLY2YmBitOxK2zJjzzBiTdAz1pdKc1vJwXRutPxJufM157S7Mk5KS2LBhAyeffDJxcXG89957DB8+nA0bNnD77bf7PIJ7MGiHQKRzycnJIT19NoWFeVit4/B4kmtHgN1MfHwSmZkZ2O32YIcp4hdmzHlmjElE/Ed5WDozX3Neu39jXl1dTffu3YGaIn3//v0ADBo0iF27drV3tiIiHSonJweHI4WiorHUjOj6DrC69u8uiorGctFFjiMaG0NERESapjws4ps2XS6tvhNPPJFPP/2Uo48+mlGjRrF06VKioqJ46qmnOProozsyRhGRdnG73aSnzwbsGMaLQMRhLYZhGC9iscwkPX02+/fv06lyIiIiHUR5WMR37f7G/N5778Xj8QCwaNEivv32W84++2xefvll/vKXv3RYgCIi7ZWVlUVhYR6GsZTGOwN1IjCMJRQW5pGdnR3I8ERERMKa8rCI79pdmP/yl79kxowZABx99NHs3LmTvLw8fvzxR84777wOC1BEgqe8vJz09HTS09MpLy8Pdjht5nK5sFrHAcNaaTkcq3UsTqczEGGJiIh0CsrDIr5r96nsDzzwQIuP33///e2dtYiYRFVVFZmZmQAsX76c6OjoIEfUNvn5RXg8yT619XiSKSjI83NEIiLSWVVWVvLUU08B8Otf/5rIyMggR+R/ysMivmt3YX74Ea3Kykq++eYbunTpwtChQ1WYi4SByMhIli5d6r0fahITbbWjvrbe1mrNJSGhj/+DEhGRTikyMpKbbrop2GEElPKwiO/aXZg3dTm0kpIS0tPTSUlJOaKgRMQcoqKiuOOOO4IdRrs5HA7WrLkK2E3Lp9HtwuPZQkrKqgBFJiIiEv6Uh0V81+7rmDfn888/Z9q0aezZs6cjZ9uhdP1Ukc7B7XbTv/8AiorGNjMaLEA1FstMbLYtGg1WwpIZc54ZYxLxN4/Hw9dffw3A0KFDsVrbPdRTyFAeFgnAdcybU1RURHFxcUfPVkSCwOPxkJubS25urvcqDKEkJiaGzMwMYB0Wy0xqjtjXt6t2+joyMzO0MyAiIn5TVlbGsGHDGDZsGGVlZcEOJyCUh0V81+5T2f/v//6vwf+GYfD999+zatUqLrjggiMOTMRf3G43WVlZuFwu8vOLSEy04XA4SEtLU0I4TFlZGUcddRQABw8eJDY2NsgRtZ3dbsflcpKePpvCwppRXz2e5NrfvG3BZksiM9OF3W4PdqgiIp1CZ87DcXFxwQ4h4JSHRXzT7lPZhwwZ0uB/q9VKr169OPfcc7nrrrvo0aNHhwToDzqFrvPKycmpTQx5WK3j6iWGzcTHJ5GZmaHEUE9paSk2mw2oORsmFAvzOm63m+zsbJxOJwUFRSQk2EhJSSE1NTXsdwSlczNjzjNjTBIYysOdl/KwdFa+5rwO/415KNAOQeeUk5ODw5EC2DGMpTQchGQ3Fss8YB0ul5Pp06cHJ0gRkQ5mxpxnxpjE/5SHRaQzUmHeAu0QdD4afEREOisz5jwzxiT+pTwsIp2VrzmvTb8xv+2223xu+8gjj7Rl1iJ+lZWVRWFhHrCUpncGACIwjCUUFo4gOzubK6+8MoARioiIhC/lYSgvL+f6668H4MknnyQ6OjrIEYmImbSpMD/82uUffPAB1dXVDB8+HIDdu3cTERHBaaed1nERinQAl8tV+1u2lq6hCVAzKInT6Qy7HYL2KC8v9x6Qe+SRR7QTISIi7aI8DFVVVWRmZgKwfPly5VQRaaBNhflbb73lvf/II4/Qo0cPMjMziY+PB6CwsJCrr76as88+u2OjFDlC+flFeDzJPrX1eJIpKMjzc0ShoaqqisceewyApUuXaidCRETaRXkYIiMjWbp0qfe+iEh97b5c2p/+9Cdee+01b1EOEB8fz6JFi5g8eTK33357hwQo0hESE221o7623tZqzSUhoY//gwoBkZGRzJ8/33tfRESkPZSHISoqijvuuCPYYYiISVnb+8SSkhJ++OGHRtN//PFHfv755yMKSqSjORwOPJ7NwO5WWu7C49lCSkpKIMIyvaioKBYsWMCCBQuIiooKdjgiIhKilIdFRFrW7sI8JSWFq6++muzsbL777ju+++47srOzmT17NjNmzOjIGEWOWFpaGvHxSbWXYqluplU1FsvviY9PIjU1NZDhiYiIhDXlYfB4POTm5pKbm4vHl1MHRKRTaXdh/sQTTzB16lSuvPJKBg0axKBBg7jiiiuYMmWK9zepImYRExNDZmYGsA6LZSaNj9jvqp2+jszMDF2ipZZhGBQVFVFUVEQnvLKiiIh0EOVhKCsr46ijjuKoo46irKws2OGIiMkc8XXMS0tL+frrrzEMg2OOOYbY2NiOis1vdP3UzisnJ4f09NkUFuZhtY7F40mu/c3bFuLjk8jMzGDSpElkZWXhcrnIzy8iMdGGw+EgLS0tLHcUWlJaWkr37t0BOHjwoKm3b7fbrc9NpAlmzHlmjEkCozPn4dLSUmw2GwBFRUWmzqntoTws0jRfc94RF+ahSDsEnZvb7SY7Oxun00lBQREJCTZSUlJITU3ltddeq7fDMK7eDsNm7w6D3W4P9iIETKgU5g139PS5idRnxpxnxpgkcJSHw4/ysEjz/FKY33bbbfzhD38gNjbWe23j5jzyyCO+Rxtg2iGQpuTk5OBwpAB2DGMpUP9aq7trfxe3DpfLyfTp04MTZIAZhkFVVRUAXbp0wWKxBDmixvS5ibTMjDnPjDFJ8Kk/D0363ERa5pfCfOLEiTidTmw2GxMnTmx+phYLGzZsaFvEAaQdAjmc2+2mf/8BFBWNxTBeBCKaaFWNxTITm20L+/fv02lZJqDPTaR1Zsx5ZoxJgkv9eWjS5ybSOl9zXpuuY/7WW281eV8k1GVlZVFYmAcspemkAhCBYSyhsHAE2dnZXHnllQGMUJqiz01EJDx0hv68vLzce8bpI488QnR0dJAjOnKd4XMTCZR2j8peVlbGoUOHvP9/++23PProo7z22msdEphIILlcLqzWcTQ8/aopw7Fax+J0OgMRVtBVVFRwxx13cMcdd1BRURHscBrR5yYiEh46Q39eVVXFY489xmOPPeb9mVio6wyfm0igtOkb8/ouuugiZsyYwQ033EBRURFnnnkmUVFR5OXl8cgjj/Cb3/ymI+MU8av8/CI8nmSf2no8yRQU5Pk5InOorKxk2bJlACxYsICoqKggR9SQPjcRkfDQGfrzyMhI5s+f770fDjrD5yYSKO0uzD/88EP+/Oc/A5CdnU3fvn356KOPePHFF7n//vtVmEtISUy01Y4e2npbqzWXhIQ+/g/KBCIjI5k7d673vtnocxMRCQ+doT+PiopiwYIFwQ6jQ3WGz00kUNp9KvuhQ4fo0aMHAK+99hozZszAarVy1lln8e2333ZYgCKB4HA48Hg2A7tbabkLj2cLKSkpgQgr6KKionj44Yd5+OGHTfdtOehzExEJF+rPQ5M+N5GO0+7C/JhjjsHlcrFv3z7+/e9/M3nyZAB+/PFHjbAqISctLY34+KTaS3pUN9OqGovl98THJ5GamhrI8KQZ+txERMJDZ+jPDcOgqKiIoqIi2nBRJFPrDJ+bSKC0uzC///77mTt3LoMHD2bUqFGMHj0aqPn2/Be/+EWHBSgSCDExMWRmZgDrsFhm0vjI767a6evIzMzoNJf6MAyDyspKKisrTbkToc9NRCQ8dIb+/NChQ8THxxMfH99gAOVQ1hk+N5FAadN1zA934MABvv/+e0455RSs1poa/7333qNnz56MGDGiw4LsaLp+qjQnJyeH9PTZFBbmYbWOxeNJrv3t1Bbi45PIzMxg0qRJZGVl4XK5yM8vIjHRhsPhIC0tLewSTmlpKd27dwfg4MGDxMbGBiUOt9vd4nvuy+dmt9uDErtIsJkx55kxJjEHX/vz1vKCGZklp7aH8rBI+/ma846oMA9V2iGQlrjdbrKzs3E6nRQUFJGQYCMlJYXU1FRee+21eolnXL3EszksE48ZdiIaJvvm3/OWPjez7qSJBIIZc54ZYxLzaK0/9zUvmI1hGN7LpHXp0gWLxRLkiHyjPCxyZAJSmL/zzjs8+eSTfP3112RnZ5OcnMyqVasYMmQI48aNa+9s/U47BNIeOTk5OBwpgB3DWErDa3burv191TpcLifTp08PTpAdzDAMiouLAYiLiwv4TkRnfM9FOpoZc54ZY5LQoLwQWHq/RY6c3wvzF198kV/96ldcccUVrFq1ip07d3L00Ufz2GOP8dJLL/Hyyy+3O3h/0w6BtJXb7aZ//wEUFY3FMF4EIppoVY3FMhObbQv79+/T0eEjpPdcpGOYMeeZMSYxP+WFwNL7LdIxfM157R78bdGiRTzxxBP8/e9/b3B94zFjxvDhhx+2d7YippSVlUVhYV7t0eKmEhNABIaxhMLCPLKzswMZXljSey4iIvWFel6oqKjgjjvu4I477qCioiLY4bQq1N9vkVDT7sJ8165dnHPOOY2m9+zZk6KioiOJScR0XC4XVus4Gp7C1ZThWK1jcTqdgQjL7yoqKliwYAELFiwI+E5EZ33PRUSkaaGeFyorK1m2bBnLli2jsrIy2OG0KtTfb5FQ06W9T+zXrx9fffUVgwcPbjB98+bNHH300Ucal4ip5OcX4fEk+9TW40mmoCDPzxEFRmVlJQsXLgTgjjvuICoqKmCv3VnfcxERaVqo54XIyEjmzp3rvW92of5+i4Sadhfm119/Pb/73e/IyMjAYrGwf/9+tm7dyty5c7n//vs7MkaRoEtMtNWOQNp6W6s1l4SEPv4PKgC6dOnCjTfe6L0fSJ31PRcRkaaFel6Iiori4YcfDnYYPgv191sk1LT7VPZ58+bhcDiYOHEiBw8e5JxzzuHaa6/l+uuvZ86cOR0Zo0jQORwOPJ7NwO5WWu7C49lCSkpKIMLyu+joaJYvX87y5cuJjo4O6Gt31vdcRESaprwQWHq/RQLriK9jfujQIXbu3InH4+H444+ne/fu5Obmkpzs26kvwaDRYKWtNDJp4Ok9F+kYZsx5ZoxJzC/U80KoXcc81N9vEbPw+6jsdbp168bpp5/OmWeeycGDB7n55ps55phjjnS2IqYSExNDZmYGsA6LZSaNjx7vqp2+jszMDCWmDqD3XERE6gv1vHDo0CGioqKIiori0KFDwQ6nVaH+fouEmjYX5kVFRVxxxRX06tWL/v3783//9394PB7uv/9+jj76aLZt20ZGRoY/YhUJKrvdjsvlxGbbQs0IpOOAS2r/jsBm28LatS7sdnuQI+04paWlREZGEhkZSWlpacBfvzO+5yIi0jzlhcDS+y0SOG0+lf3GG29k3bp1XHLJJbz66qt88cUX/PKXv8TtdjN//nzGjx/vr1g7jE6hkyPhdrvJzs7G6XRSUFBEQoKNlJQUUlNTvUeL3W43WVlZuFwu8vOLSEy04XA4SEtLC6kjyqWlpXTv3h2AgwcPEhsbG5Q4fHnPRaRpZsx5ZoxJQktrecGMedgwDIqLiwGIi4sz/ans9SkPi7SfrzmvzYX5oEGDeOaZZzj//PP53//+xzHHHMNvf/tbHn300SONOWC0QyD+lJOTQ3r6bAoL87Bax+HxJNeOarqZ+PgkMjMzQubIssfj4fvvvwdqLpFotR7xr19EJMDMmPPMGJOEj3DKwyIS+vz2G/P9+/dz/PHHA3D00UcTExPDtdde2/5I22jBggVYLJYGt759+wbs9UVakpOTg8ORQlHRWGpGKX0HWF37dxdFRWO56CIHOTk5QY7UN1arleTkZJKTk1WUi4iI6YVbHhaRzqPNFyb2eDxERkZ6/4+IiAj46a0nnHACb7zxRoMYRILN7XaTnj4bsDczeukwDONFLJaZpKfP1uilIiIiHcjsebiiooKHHnoIgLvvvpuoqKiAvbaImF+bC3PDMEhPT/de09jtdnPDDTc0Ks7XrFnTMRE2oUuXLvqWXEwnKyuLwsI8YClNX1IEIALDWEJh4Qiys7O58sorAxhh21VUVPCXv/wFgN/97nfaiRAREdMyex6urKxk4cKFANxxxx3KqSLSQJsL81mzZjX4PxiFxZdffkn//v2Jjo5m1KhRPPTQQxx99NHNti8vL6e8vNz7f0lJSSDClE7G5XLV/pZtWCsth2O1jsXpdJq+MK+srGTevHlAzcCP2okQkfZQHpZAMHse7tKlCzfeeKP3vohIfW3uFVasWOGPOHw2atQonn32WYYNG8YPP/zAokWLGDNmDDt27CAxMbHJ5yxevNh7hFLEX/Lzi/B4kn1q6/EkU1CQ5+eIjlyXLl28B+O0EyEi7aU8LIFg9jwcHR3N8uXLA/qaIhI6Qm40pylTpjBz5kxOOukkzj//fNavXw9AZmZms8+56667KC4u9t727dsXqHClE0lMtGG15vrU1mrNJSHB5t+AOkB0dDQrV65k5cqV3p+viIi0lfKwBEI45mER6TxCrjA/XGxsLCeddBJffvlls22io6Pp2bNng5tIR3M4HHg8m4HdrbTchcezhZSUlECEJSISdMrDEgjKwyISykK+MC8vL+eLL76gX79+wQ5FOrm0tDTi45OwWOYB1c20qsZi+T3x8UmkpqYGMjwREZGwZvY8XFpaSmRkJJGRkZSWlgb0tUXE/EKuMJ87dy6bNm3im2++4T//+Q+pqamUlJQ0GpROJNBiYmLIzMwA1mGxzKTxEftdtdPXkZmZERKXSistLcVms2Gz2bQTISIiphYKebiqqoqqqqqAv66ImF/Ijeb03Xffcdlll5GXl0evXr0466yz2LZtG4MGDQp2aCLY7XZcLifp6bMpLKwZ9dXjScZqzcXj2YLNlkRmpgu73R7sUH1WXFzs99dwu91kZWXhcrnIzy8iMdGGw+EgLS0tJA5giIiIOZg5D3ft2pXvvvvOe99MlIdFgs9iGIYR7CACraSkhLi4OIqLi/U7N/ELt9tNdnY2TqeTgoIiEhJspKSkkJqaGlIJzuPx8PXXXwMwdOhQrNaOP8kmJyendgcqD5vlLIqMQbU7UJuJj08iMzMjpA5kiJiNGXOeGWOS8BIueTgQ6ufhmsvNJSsPi3QgX3OeCnPtEIgETU5ODg5HCmDnVGMW27iEtVzExfwL+LL2d4LrcLmcTJ8+PcjRioQmM+Y8M8Yk0hnVz8OGsRSofw343crDIh3A15wXcr8xF5Hw4Ha7SU+fTc3OwIuksp0oKrFgABZgGIbxImAnPX02brc7uAGLiIgcgYqKCh5++GEefvhhKioqgh1OozzcsCgH5WGRwFJhLiLNqqysZPny5SxfvpzKysoOnXdWVhaFhXm1R+itpJEFQDb1R8mNwDCWUFiYR3Z2doe+voiISCBVVlYyb9485s2b1+E5tT0a5uEIANL4F935uV4r5WGRQFFhLiLNqqioYM6cOcyZM6fDj+67XC6s1nHAME7iM47lK9xEs56ph7WsGbzH6XR26OuLiIgEUpcuXZg1axazZs2iS5fgj79cPw8DnM52/sUl7GYYcRTVa6k8LBIIwe8VRMS0IiIivNd5jYiI6NB55+cX4fEkA3ApqwF4lQs4SI9GbT2eZAoK8jr09UVERAIpOjqalStXBjsMr/p5GAwe5RYAXmcSxdgatFUeFvE/FeYi0qyYmBiysrL8Mu/ERBtWay6Gx8MV/AOA57m8ybZWay4JCX38EoeIiEhnVJeHPR64hBcYy7uU0o27WNyorfKwiP/pVHYRCQqHw4HHs5mxrGYQeymhB+to6nIsu/B4tpCSkhLwGEVERMJVXR7uxscsZR4Af+RO9pN8WEvlYZFAUGEuIkGRlpZGfHwSV3IPAC8yEzddD2tVjcXye+Ljk7yn1IuIiISi0tJSbDYbNpuN0tLSYIfjzcN3cwkD2cceBrGMuYe1Uh4WCRQV5iLSrEOHDpGcnExycjKHDh3q0HnHxMTw7NNPksoeAP7B+MNa7MJimQmsIzMzg5iYmA59fRERkUArLi6muLg42GEAtT9XW7yIuewG4FbuOOwAufKwSCDpN+YiQeB2u8nKysLlcpGfX0Riog2Hw0FaWpo38fnSxt8Mw2D//v3e++3R0nJMqx1Q7nuLlbeMq7Fan8bjSa79zdsWbLYkMjNd2O1NneIuIiLSPsHIsV27dmX37t3e+4HS0rKe99JLAGzoEomrag5W6z+Vh0WCxGK0d287hJWUlBAXF0dxcTE9e/YMdjjSyeTk5JCePpvCwjys1nH1EuBm4uOTyMzMwDCMVtsEIklWV1fz2WefAXDSSSe1eWT21pb1i6GD6fP++1TdcgurTzsNp9NJQUERCQk2UlJSSE1N1RF6kSNkxpxnxpik8/AlD4dLIdrSsl4S25PVpSUQGUn5+++T9emnysMifuBrzlNhrh0CCaCcnBwcjhTAjmEspe7aoTV2Y7HMwzBysFgsLbaBdbhcTqZPnx7A6NumtWUdyBz+x+tEAOzaBcOGNTkfETkyZsx5ZoxJOgdf8nAo5FhftLSs0XzG54zmGEr5csYMjn3xxaDFKRLuVJi3QDsEEgxut5v+/QdQVDQWw3gRiCCeAoqJw0PdN9GlQBIwCXACTX1DXY3FMhObbQv79+8z5ZHsppb1cAu4j/ks4u0ukZz5c4kpl0MkHJgx55kxJgl/zeWmgXzLPgZgYMWfObayspKnnnoKgF//+tdERkZ22LwP11oevpsHeZB7ySWG0bZu7P4+V3lYxE98zXka/E0kQLKysigszKs9al2TIJ/gBgqJ599M5h4WMZy/AW5gGU0X5QARGMYSCgvzyM7O9mvMlZWVrFy5kpUrV1JZWenz85pa1voiqGI2KwB4rKrS78shIiLSVG5axZV8wxAm8XptK//l2IqKCubMmcOcOXOoqKjo0HkfrqU8PIC93MODANzBH9hXVKA8LGICKsxFAsTlcmG1jqP+qWQn8Rk9+ZnJvM4i7uO/3Mn7xPIrttGFlgrh4VitY3E6nX6NuaKigquvvpqrr766TTsRTS1rfVNZz1Hk8hNJrLWM9vtyiIiINJWbCkjAisGNPFavpX9ybEREBKmpqaSmprZ5zJa2aj4PG/yNOXSjjLc5m39ye0D2J0SkdSrMRQIkP78Ijye5wbQT+ZxT+JgbWc56LqQSC6dRyrPM4muG8mueJIKqJufn8SRTUFDk15gjIiK48MILufDCC9u0E9HUstZ3G48AkME1uI0Bfl8OERGRpnLTY9wIwDReYiDfeqf7I8fGxMSQlZVFVlaW308bby4Pz2AN01lHBZHcwBOAJSD7EyLSOhXmIgGSmGjDas1tMM1DBJ9yCo9zI9NYTz8u5E4GcYA+DGQfT3IDHzKSiWxoND+rNZeEBJtfY46JiWH9+vWsX7++TTsRTS1rnTN4j/G8TSVd+Cs3B2Q5REREmspNuxjBG5xHBB6u50nv9FDPTU0ta0+K+Ss3A/BH7uQLjgdCf1lFwoUKc5EAcTgceDybgd3NtsnnEpbwLYN5nd/xKAXEczKfsYHzeJrZxFFU23IXHs8WUlJSAhF6m7W0rLfzJwCe53JyKTX1coiISPhoLjfVfWt+LU8TRTlmz7G+aGpZF3MX/fmeXQzjIe6unRr6yyoSLjQqu0aDlQDxZaTyw0dlj6eYB7ifG3kMKwa59Gc2T/Ga5e8hOSr7EP7HlxxLBB5O5kM+tyw09XKIhAMz5jwzxiThr7ncFEEVexjMUeRyBc/yT8uLfslNhw4d4thjjwXgyy+/pFu3bh0278Mdvqxn8R5bGIsVg4lsYCMTCYWrvIiEA43KLmIyMTExZGZmAOuwWGbS+NvkXVgsVwDlWCzrsVhmUkgeN/M3zuFtdnMsyeznVaax1FjLs08/6fckWrcTceyxx3Lo0CGfn9fcsv6eJUTg4d+M5XPLQmAdmZkZ2hkQERG/ay43VdOFJ7kegN/yWzBy/JKbDMNg//797N+/H39/L1Z/WaNI4SnSsWKwgvTaonxX7XugPCxiFvrGXEfqJcBycnJIT59NYWEeVutYPJ5krNZcPJ4txMcnkZmZgWEYjdp0s+xlsbGN39bOx3P66ay97DKe27KF/PwiEhNtOBwO0tLSvAnW7XaTlZWFy+Vqtk1LSktL6d69OwAHDx4kNja23ct6jGUkO42PiMRgHLCzdlntdnub5ikibWPGnGfGmKTzaCoP97V8wzfGdmKAdx96iDF33XXEOfRw1dXVfPbZZwCcdNJJfh+ZHWqWdfcllzLXXcZPdGEEUymy5jXY51AeFvEvX3OeCnPtEEgQuN1usrOzcTqdFBQUkZBgIyUlhdTU1AZFdVNtLo6KgmuuIaq0lCLgV5bjeck4qba439xMcT+u3gGAzT4n4+rqarZt2wbAWWed1a6diLrlSL7nHibu3cuHffqwc9myBssqIv5jxpxnxpikc2kqxy4uKmLYhg0wZQo5N9xwxDnUFLZvxxg9Gkt1NQ+PGsXLXWOb3OcQEf9RYd4C7RBIKMvJyeG3Fzn4JzZGU4gHC/NZyIPcg8FXWCzzMIwcLBYLYMcwltLwOqa7sVjmAetwuZxMnz7d/0F/9hmceip4PLB9O5x+uv9fU0QAc+Y8M8Ykwtdfw7Bh4PFwChY+s0w3Rw5tL7cbRo6EL76ASy+Ff/4z2BGJdEr6jblIGHK73aSnz2avZTrjyeUxfoMVgz9wP2uYQQ/6Yhj/AKIxjKm1g9sMO2wuw2qn20lPn43b7fZv0IYBv/1tTVGemqqiXEREzGnoUKpnzADgDpI7PIdWVlaycuVKVq5cSWVlZYeF3az582uK8j594G9/8//ricgRUWEuEkKysrIoLMzDMJZSSVdu4jGu4RnKicLBWv7DKIbzN8ANLKPpkd8BIjCMJRQW5pGdnd3s61VVVZGVlUVWVhZVVVXtC/rFF2HjRoiJgWXL2jcPERGRAHjl5JMBuJTvOZo9zbTyLYcerqKigquvvpqrr76aioqKIw+2Je+++/9z7pNPQmKif19PRI6YCnOREOJyubBax1H/CP4KruFs3uE7kjmO//Ie9zKd42h8lP9ww7Fax+J0OpttUV5ezsUXX8zFF19MeXl52wMuKoJbbqm5//vfw6BBbZ+HiIhIgKz4+GNeIZ4uVLOABS20bD2HHi4iIoILL7yQCy+80L8DvxUVweWX15yp9qtfwUUX+e+1RKTDqDAXCSH5+UV4PMmNpm/nTE7jAzZxDj2pYi1fsIh7sFLd4vw8nmQKCoqafdxqtTJ+/HjGjx+P1dqO7uK22yA3F445BubNa/vzRUREAig/v4h7qfnJ1RX8g+PZ0Wzb1nLo4WJiYli/fj3r16/336BrhgG//jV8+y0MGaJT2EVCiApzkRCSmGjDas1t8rEf6cP5vMFfGArAPTzEv/klvfix2flZrbkkJNiafbxr165s3LiRjRs30rVr17YF+9JLsGIFWCywciV069a254uIiARYYqKNj61lZDOzdgyX+5pt21oODYpnnoGsLOjSBVavBg2uKBIyVJiLhBCHw4HHsxnY3eTjVURyC/O5DCilK+fzJh8ykrPY2kTrXXg8W0hJSen4QL/5Bq66qub+rbfC2LEd/xoiIiIdrC7P3s81VGNlBk5G824TLf2YQ9tr586awVYBHnwQzjwzuPGISJuoMBcJIWlpacTHJ9VeqqW509RnsJoYzmAUXzCCo8jlbc7hZv4PqLs6YjUWy++Jj08iNTW1Y4M8dAhmzoTCQhg1Ch56qGPnLyIi4id1efa/lqdYQToA/8dvD/tpWPty6KFDhzj22GM59thjOXToUMcGXlwMM2ZAWRmcfz7Mndux8xcRv1NhLhJCYmJiyMzMANZhscyk8Tfnu7BYrgDK+a/lbUZxNC8whUiq+D9+Rw7T6cPm2ueuIzMzo8XfuZWVlXHqqady6qmnUlZW1nqAlZWQlgYffQRJSTWn00VHt3+BRUREAqh+nr2H/RTTndP5gKtZUdtil8859HCGYfDVV1/x1VdfYRhG60/wlcdTc5barl1w1FHwj39Ae8aFEZGg0lYrEmLsdjsulxObbQs1o8KOAy6p/TsCm20LOTlrcbmcdIl/j0t5hd9ZhlCOFTsv8Tln86tuG1i71oXdbm/xtTweD5988gmffPIJHo+n5cAqK2HWLHj5ZejaFVwuGDCgg5ZaREQkMOrybGX8+8znIAAPMYcEy1nU5VlfcujhYmJi2Lx5M5s3b+7Ywd8WLYKcnJoD4WvWQO/eHTdvEQkYi9Ghh+xCQ0lJCXFxcRQXF9NTg2JIiHK73WRnZ+N0OikoKCIhwUZKSgqpqanehF+/Tc+933Hfl7s4uri4ZgYXXUT5H//Iv7Zvx+VykZ9fRGKiDYfDQVpaGjExMZSWlvLAAw+wZcsWIiKiSEqKb/B43Ws4n3uO4ffey8gffqDaYmHTrbcy5sEH/TfqrIj4zIw5z4wxiRzO7Xbz4urVnPPb3zLg5595a+BAch98sEGe7YjXyMrKajYPt9rm3/8GhwOAv512Gtnd45qch4gEj685T4W5dgikM6mogAcegCVLoKqKMmAZ8GfLWRQag7Bac/F4NhMfn8SNN17PY489SWFhHlbrODye5AaPZ2ZmYBgGD185iyd/LuJ44BARXGoZzjpjp7dNW79REJGOZcacZ8aYRJq1dWvNIKaGUXPFkalTO2S2OTk5pKfPbjXPNtdmUo84XiorJaqqir8Bv2tmHsrDIsGlwrwF2iGQzm7D3/6GcfPNnFf7fzE9+Ss38zi/YT+lwK+A7VgsdgzjYWBYvWfvxmKZR09jLXcDv8NKNB7204+ZvMg2RnvbwDpcLifTp08P7AKKiJcZc54ZYxJp0dy58Kc/Qf/+8NlnkJDQ5llUVVXhdDoB6NKlCzNnpgJ2DGMpTeVZw8jBYrE02eYYXuNdptKLKl6mNxexgSpOaDQP5WGR4FNh3gLtEIiZlJaWAtCtW7faBAwVFRVUVlbSpUsXousNnlbXtmvXrlhrB3aprKykoqKCiIiIBqesNde2pKSEY44ZTnHRWFK4koUs5Gh2YACRWHiL81jHVjZwGv8lC4PNQDTwS2JxcxZvMp1sruI5bLWv5WQq1/E38ukD1F3vvBpwYLNtZd++PXTv3r1manU1brcbq9Xa4NroZWVleDweYmNjO+qtFRHMmfPMGJNIi8rK4NRTYfdumDYN1q5t8wBrpaWl3lxosyVSXDwOw3gRiGiqNZAETAKcDdr05XveYRzH8D/eJ44JfEspcU3MoxqLZSY22xb279+n09pFgsTXnKfB30SCrHv37nTv3p28vDzvtIcffpju3bszZ86cBm179+5N9+7d2bt3r3fa8uXL6d69O7Nnz27QdvDgwXTv3p0vvvjCO23lypUkJSVRVJSPwcOsIY2T+ZQketEd+ASDX/IGf6OUe3gbgz7ATGAa/6MfB+nB9zj4Hc/xMfA5x3Ih65nBbPIZApxfL4IIYA9FRfksWLDAO3XDhg10796d0aNHN4h3ypQp3h0WERERU+naFVavrhlg7aWX4OGH2zwLq9XK+PHjGTFiRE0eNpbSdFEOsAZwU/ODs//fpg8H2MC5HMP/+B8wlZebKcoBIjCMJRQW5pGdnd3meEUksFSYi3RKCdSdEmdgpYxuADhYw12cwOvYKCcSgJ7A6UBfag4cVNZO/x1DOIldvMKFgKWZ16k5Ov/uu+/6aTlEREQC5Be/gP/7v5r7d98N//53m57etWtXNm7cyPHHH197JZVhLbR2AQ3b9OYH3uQ8juO/7KUr53M6PzKmlVcdjtU61nsKvYiYl05l1yl0EmSBPpX93HMnsXlzLyCrXhSHAIOaQnoy0At4ln7soT8HiCaCUmLZxwAK6ApcCPQG/lX7/CqgnJpjfV3rzbcMuJJzzilg06a3AJ3KLhJoZsx5ZoxJxCeGAVdfDZmZEBsLmzbBaae1aRYTJpzHpk29gNUttDqPmlxc0+ZovuZVLuBYvmIfRzGBo/gfg1qZR51LmDAhj7feerNNcYpIx/A153UJYEwi0oSmCtGoqCiioqJ8ahsZGUlkZKTPbXv3TsRqPUDDy5J3q3ffBuQCUXzPML5v8oh+IvB9vf+70HR30hWr9QeSkvp4p0RERDQZW/0iXURExJQsFnjqKfjuO3jzTbjwwprifMQIn2eRmGirHTm9pVY2anIxnMb7rGcqffiRbxjMJF7nf/ze+3hrrNZcEhL6tN5QRIJKp7KLdDIOhwOPZzOwu7kWQEuP+9oGYBcezxZSUlLaGqaIiIg5RUXBmjU1g8H9+COcfTZ8+GGrTysrK+PUU0/l/fffbyUPQ12encUfeYez6cOPfMSpjOFdvuYYlIdFwo9OZdcpdNLJuN1u+vcfQFHR2GZGg3UDA4DRwPPAL2unv8H/P029+dFi/z+NBitiBmbMeWaMSaTN8vLgggvggw+gZ8+aweGmTGm2eVtGZY/lBx4lmWupBuAVLuASXuBn6raX+rlaeVjEzDQqu4g0KSYmhszMDGAdFstMGh9t/xYYCrwEXAK8W3urO+duFxbLFUA5Fsv6Zuaxq3b6OjIzM7QzICIi4ScpCTZsgHPOgZISmDoV7r0XKiqabB4TE8Nrr73Ga6+9xooVT9NcHv4lT/M5Q7iWajzA/YxgKn+uV5RD/VxtscxoNA/lYZHQo8JcpBOy2+24XE5sti3UjNg6Drik9u8I4uO/5p577sZm+w8AFssIIN37uM22hZyctS3Ow2bbwtq1Lux2e5CWUkRExH/cbjer1q7lkvh4XP2TawaGe/BBPKecAq+/DoZR02bVKmbOnMl5503miSee4MCBA1xwwQWNcuhpTOIV4nmV6xhMGYd69WLbAw/wt/g8DI5rIVe/i/KwSOjTqew6hU46MbfbTXZ2Nk6nk4KCIhISbKSkpJCamkpMTEyrj/syDxEJLjPmPDPGJJ1Xe66O8vrrr3PNNddRWJiHxTIGw+hHKp/yN76kbpi1fcccw4O537O6rJSfrePweJKxWPZhGO9isyXy7LMrmHTyyXy0aBExL77IsMJCYgBLRASe3/wG/vAHyiMjqaioYP369d4827Nnd+x2O5dddhmxsbG43W5eeOEF1qxZQ2FhMb16JXrzsGEYeDweoqOj6dKlZpBWXR1FJLB8znlGiFq+fLkxePBgIzo62hg5cqTx9ttv+/zc4uJiAzCKi4v9GKGIiEjwmTHnmTEm6byouV6o8eOPP3qnLVq0yACMa6+9tkHbbt261ba3GBbLRQbsMuDPtdMuN2y8ZzzK0cYhMJJq5/spGJ9xgrGaFGMCJxiAcQZRxhc137EbBhiDatu+d8EFhvHVV4ZhGMZzzz1nAMb555/fIIbjjz/eAIy33nrLO83pdBqAMWbMmAZtTz/9dAMwXnrpJe+01157zQCMU045pUHb8ePHGyFcGoiYlq85LyRPZX/hhRe45ZZbuOeee/joo484++yzmTJlCnv37g12aCJhpbq6mo0bN7Jx40aqq6uDHY6IiIhJnF87cFvDS4oWcQa38ClDiKa0dkA2K3AiO5iGk43sAKA3FdRdYM1zyilgs9X888ADMHRoQJZARMwlJE9lHzVqFCNHjuTxxx/3TjvuuONwOBwsXry41efrFDoR39QfQfbgwYM6vU0kBJkx55kxJum82nIq+9NPP811110HfAHe0roSqKBmZPQYYBVwFfARcCy9KWYU79Ofr8hhGR4sTOV37CWJj5nNn1etYsaMGRiGQUxMDBERNQV9VVUV5eXljU45P3TokM9t605P16nsIsHja87rEsCYOkRFRQUffPABd955Z4PpkydP5t13323yOeXl5ZSXl3v/Lykp8WuMIuHCYrFw/PHHe++LiLSH8rCYWVOFaFRUFFFRUY2mv/LKK1it4/B4RtSbGll7q+MCxgGnAvAjsaxjeu1jtwGQUfuf1ZqB0+nkyiuvbPRaXbp08RbT9XXr1s3ntvUL7zoRERFNLnNTbUUkcELuVPa8vDyqq6vp06dPg+l9+vThwIEDTT5n8eLFxMXFeW8DBgwIRKgiIa9bt27s2LGDHTt2NLkjICLiC+VhCRf5+UV4PMmttCoCWmtTw+NJpqCg6AijEpFwEHKFeZ3Dv70zDKPZb/TuuusuiouLvbd9+/YFIkQRERFBeVjCR2KiDas1t5VWNqC1NjWs1lwSEmxHGJWIhIOQK8yTkpKIiIho9O34jz/+2Ohb9DrR0dH07NmzwU1EREQCQ3lYwoXD4cDj2QzsbqkV0FSbMmBs7a0M2IXHs4WUlBR/hCoiISbkCvOoqChOO+00Xn/99QbTX3/9dcaMGROkqETCU1lZGZMmTWLSpEmUlZUFOxwREZGgSktLIz4+CYtlHtDc1UpmUDMI3NzD2niAd2tvlVgsvyc+PonU1FS/xiwioSHkBn8DuO222/jVr37F6aefzujRo3nqqafYu3cvN9xwQ7BDEwkrHo+HN954w3tfRESkM4uJiSEzM4OLLnJgsczEMJbS8JJpu7BYfo9hlGOxrAfqt4kGnNSc5n4lsJ7MTBcxMTEBXw4RMZ+QLMwvueQS8vPzeeCBB/j+++858cQTefnllxk0aFCwQxMJK9HR0Tz33HPe+yIiIp2d3W7H5XKSnj6bwsLhWK1j8XiSsVpz8Xi2YLMlkZm5FsMwmm0TH59EZqYLu90e7MUREZMIyeuYHyldP1VERDoLM+Y8M8Yk0lZut5vs7GycTicFBUUkJNhISUkhNTXV+y24L21EJLz5mvNUmGuHQEREwpgZc54ZYxLxt+rqat555x0Azj77bCIiIoIckYgEgq85LyRPZReRwKiurubDDz8EYOTIkdqJEBERaSe3283EiRMBOHjwILGxsUGOSETMRIW5iDTL7XZz5plnAtqJEBERORIWi4Xjjz/ee19EpD4V5iLSLIvF4h1UUTsRIiIi7detWzd27NgR7DBExKRUmItIs7p168aePXuCHYaIiIiISFizBjsAERERERERkc5MhbmIiIiIiJ+VlZUxadIkJk2aRFlZWbDDERGT0ansItIst9vNpZdeCsDq1at1zVUREZF28ng8vPHGG977IiL1qTAXkWZVV1ezdu1a730RERFpn+joaJ577jnvfRGR+lSYi0izoqKieOqpp7z3RUREpH26dOnCFVdcEewwRMSkVJiLSLMiIyO57rrrgh2GiIiIiEhYU2EuIiIiIuJn1dXVfPjhhwCMHDmSiIiIIEckImaiwlxEmuXxePjiiy8AOO6447BadSEHERGR9nC73Zx55pkAHDx4kNjY2CBHJCJmosJcRJpVVlbGiSeeCGgnQkRE5EhYLBYGDRrkvS8iUp8KcxFpUVJSUrBDEBERCXndunVjz549wQ5DRExKhbmINCs2Npaffvop2GGIiIiIiIQ1/WBUREREREREJIhUmIuIiIiI+Jnb7cbhcOBwOHC73cEOR0RMRqeyi0iz3G43s2fPBuCZZ54hJiYmyBGJiIiEpurqatauXeu9LyJSnwpzEWlWdXU1zz//PABPPfVUkKMREREJXVFRUd5cGhUVFeRoRMRsVJiLSLOioqL485//7L0vIiIi7RMZGcl1110X7DBExKRUmItIsyIjI7nllluCHYaIiIiISFhTYS4iIiIi4mcej4cvvvgCgOOOOw6rVWMwi8j/p8JcRJrl8XjYu3cvAAMHDtROhIiISDuVlZVx4oknAnDw4EFiY2ODHJGImIkKcxFpVllZGUOGDAG0EyEiInKkkpKSgh2CiJiUCnMRaVG3bt2CHYKIiEjIi42N5aeffgp2GCJiUirMRaRZsbGxlJaWBjsMEREREZGwph+MioiIiIiIiASRCnMRERERET9zu91cccUVXHHFFbjd7mCHIyImo8JcRJpVXl7Oddddx3XXXUd5eXmwwxEREQlZ1dXVPP/88zz//PNUV1cHOxwRMRn9xlxEmlVVVcXTTz8NwKOPPkp0dHSQIxIREQlNUVFR/PnPf/beFxGpT4W5iDQrMjKSRYsWee+LiIhI+0RGRnLLLbcEOwwRMSkV5iLSrKioKO65555ghyEiIiIiEtZUmIuIiIiI+JnH42Hv3r0ADBw4EKtVQz2JyP+nwlxEmmUYBnl5eQAkJSVhsViCHJGIiEhoKisrY8iQIQAcPHiQ2NjYIEckImaiwlxEmnXo0CF69+4NaCdCRETkSHXr1i3YIYiISakwFxERERHxs9jYWEpLS4MdhoiYlApzEWlWbGwshmEEOwwRERERkbCmUSdEREREREREgkiFuYiIiIiIn5WXl3Pddddx3XXXUV5eHuxwRMRkVJiLiIiIiPhZVVUVTz/9NE8//TRVVVXBDkdETEa/MRcRERER8bPIyEgWLVrkvS8iUp8KcxERERERP4uKiuKee+4JdhgiYlI6lV1EREREREQkiPSNuYiIiIiInxmGQV5eHgBJSUlYLJYgRyQiZhJy35gPHjwYi8XS4HbnnXcGOywRERERkWYdOnSI3r1707t3bw4dOhTscETEZELyG/MHHniA6667zvt/9+7dgxiNiIiIiIiISPuFZGHeo0cP+vbtG+wwRERERER8Ehsbi2EYwQ5DREwq5E5lB1iyZAmJiYmceuqpPPjgg1RUVLTYvry8nJKSkgY3ERERCQzlYRERkZaFXGH+u9/9jtWrV/PWW28xZ84cHn30UW688cYWn7N48WLi4uK8twEDBgQoWhEREVEeFhERaZnFMME5NQsWLGDhwoUtttm+fTunn356o+kvvvgiqamp5OXlkZiY2ORzy8vLKS8v9/5fUlLCgAEDKC4upmfPnkcWvIiIiImVlJQQFxcX1JynPCwiIp2Vr3nYFL8xnzNnDpdeemmLbQYPHtzk9LPOOguAr776qtnCPDo6mujo6COKUURERNpHeVhERKRlpijMk5KSSEpKatdzP/roIwD69evXkSGJiIiIiIiIBIQpCnNfbd26lW3btjFx4kTi4uLYvn07t956K9OnT2fgwIHBDk9ERERERESkzUKqMI+OjuaFF15g4cKFlJeXM2jQIK677jrmzZsX7NBERERERERE2iWkCvORI0eybdu2YIchIiIiIiIi0mFC7nJpIiIiIiIiIuFEhbmIiIiIiIhIEKkwFxEREREREQkiFeYiIiIiIiIiQaTCXERERERERCSIVJiLiIiIiIiIBFFIXS6toxiGAUBJSUmQIxEREfGvulxXl/vMQHlYREQ6C1/zcKcszH/++WcABgwYEORIREREAuPnn38mLi4u2GEAysMiItL5tJaHLYaZDqEHiMfjYf/+/fTo0QOLxeLz80pKShgwYAD79u2jZ8+efowwOLR8oU3LF9q0fKHL7MtmGAY///wz/fv3x2o1xy/YlIebpuULbVq+0KblC21mXj5f83Cn/MbcarVy1FFHtfv5PXv2NN0H3pG0fKFNyxfatHyhy8zLZpZvyusoD7dMyxfatHyhTcsX2sy6fL7kYXMcOhcRERERERHppFSYi4iIiIiIiASRCvM2iI6OZv78+URHRwc7FL/Q8oU2LV9o0/KFrnBeNrMJ9/dayxfatHyhTcsX2sJh+Trl4G8iIiIiIiIiZqFvzEVERERERESCSIW5iIiIiIiISBCpMBcJgJ07d7JgwQL27NnTrudv3ryZa6+9ltNOO43o6GgsFku759VRNm7ciMViYePGjd5p6enpdO/evcNeY8KECUyYMKHBNIvFwoIFC3x6/kcffcT48eOJi4vDYrHw6KOPtun1fX2tlStXmuIzac29997LtGnTSE5OxmKxkJ6eHuyQRCSENNUnd7Smcksozb8tzNgnH/4Z79mzB4vFwrJlyzpk/k29/wsWLMBisfg8j3vvvZeBAwfSpUsXbDZbm16/La81ePBgU3wmLTHj/qG0nwpzkQDYuXMnCxcubHdn+eabb/LGG28wcOBAxowZ07HBhZitW7dy7bXX+tT2mmuu4fvvv2f16tVs3bqVSy+91M/Rmduf//xn8vPzmT59OlFRUcEOR0SkkZEjR7J161ZGjhwZ7FD8Tn1yjWuvvZatW7f61Hbt2rU8+OCDXHXVVWzatIk33njDz9GZm/YPw0uXYAcgEs4qKyvbdBS4Offddx/z588HYNmyZaY40h8sZ511ls9tP//8c6677jqmTJnix4jMrW4d7NKlCz///DNWa83x2FWrVgU5MhGRxnr27Nmmfj6UqU+ucdRRR3HUUUf51Pbzzz8H4Le//S29e/f2Z1imdujQIbp166b9wzCjb8wl7Kxfv55TTz2V6OhohgwZwrJlyxqdulR3atbKlSsbPf/w05e/+uorrr76ao499li6detGcnIydrudzz77rMHz6k7PWrVqFbfffjvJyclER0fz9NNPk5aWBsDEiROxWCze1657TlO3wYMHe+ddl7gD4f333+fSSy9l8ODBdO3alcGDB3PZZZfx7bfftmt+W7ZsISkpiWnTplFaWgrAwoULGTVqFAkJCfTs2ZORI0fyzDPP4MtFInw5vbzu1PKqqioef/xx73ta58CBA1x//fUcddRRREVFMWTIEBYuXEhVVVWrr79t2zbGjh1LTEwM/fv356677qKysrJRuw0bNjBhwgQSExPp2rUrAwcOZObMmRw6dAj4/+vg0qVLefDBBxk4cCAxMTGcfvrpvPnmmw3mdaTr4FdffQUEdj0SkdBQlx8/+ugjZsyYQc+ePYmLi+PKK6/kp59+avX5vvbn5eXl3H777fTt25du3bpxzjnn8MEHHzQ6Xbi5U81zcnIYPXo03bp1o0ePHkyaNKnJb1n/+9//ctlll9GnTx+io6MZOHAgV111FeXl5c0ug69579ChQ8ydO5chQ4YQExNDQkICp59+Ov/85z8bzW/69OkkJCQQExPDL37xC/71r381et1A9slHkncPV1lZyaxZs+jevTsvvfQScGT7Dr6eXj548GDuvfdeAPr06dNof+CFF15g9OjRxMbG0r17d375y1/y0Ucf+bQ88+bN866b48aN47333mvUzpfPv+4nfTt27OC8884jNjaWXr16MWfOHG/+r7N8+XLOOeccevfuTWxsLCeddBJLly5ttE8xYcIETjzxRN5++23GjBlDt27duOaaawDl9XCjb8wlrLz55ptcdNFFjB49mtWrV1NdXc3SpUv54Ycf2j3P/fv3k5iYyB//+Ed69epFQUEBmZmZjBo1io8++ojhw4c3aH/XXXcxevRonnjiCaxWK6effjqFhYXcfffdLF++3Ht63tChQ4mOjm60Y/Hll18ye/ZsTjjhhHbHfCT27NnD8OHDufTSS0lISOD777/n8ccf54wzzmDnzp0kJSX5PK9//etfXHXVVVxzzTX89a9/JSIiwvsa119/PQMHDgRqit2bb76Z3Nxc7r///iNehqlTp7J161ZGjx5Namoqt99+u/exAwcOcOaZZ2K1Wrn//vsZOnQoW7duZdGiRezZs4cVK1Y0O9+dO3dy3nnnMXjwYFauXEm3bt147LHHeP755xu027NnD1OnTuXss88mIyMDm81Gbm4ur776KhUVFXTr1s3b9m9/+xuDBg3i0UcfxePxsHTpUqZMmcKmTZsYPXo0cOTrYGf+VkFEfJOSksLFF1/MDTfcwI4dO7jvvvvYuXMn//nPf4iMjGz2eb7251dffTUvvPAC8+bN49xzz2Xnzp2kpKRQUlLSamzPP/88V1xxBZMnT+af//wn5eXlLF26lAkTJvDmm28ybtw4AD755BPGjRtHUlISDzzwAMceeyzff/89OTk5VFRUNHt9Y1/z3m233caqVatYtGgRv/jFLygtLeXzzz8nPz/fO6+33nqLCy64gFGjRvHEE08QFxfH6tWrueSSSzh06FDQfrPcUXm3qKiIGTNm8MUXX7Bp0yZOO+007/w7at+hOU6nk+XLl/PMM8/w6quvEhcX5/2m/aGHHuLee+/l6quv5t5776WiooKHH36Ys88+m/fee4/jjz++2fled911PPvss8ydO5dJkybx+eefM2PGDH7++ecG7Xz5/KGm0L/wwgu5/vrrufPOO3n33XdZtGgR3377LevWrfO2+/rrr7n88ssZMmQIUVFRfPLJJzz44IP897//JSMjo8E8v//+e6688krmzZvHQw89pII8XBkiYWTUqFFG//79jbKyMu+0kpISIyEhwai/un/zzTcGYKxYsaLRPABj/vz5zb5GVVWVUVFRYRx77LHGrbfe6p3+1ltvGYBxzjnnNHpOVlaWARhvvfVWi/H/8MMPxtFHH22ccMIJRmFhYZNtHn74YQMwvvnmmxbn1VGqqqqMgwcPGrGxscZf/vIX7/S65a2/TLNmzTJiY2MNwzCMP/7xj0ZERISxZMmSFudfXV1tVFZWGg888ICRmJhoeDwe72Pjx483xo8f36B9a5/P4W1vuummBtOuv/56o3v37sa3337bYPqyZcsMwNixY0ezr3XJJZcYXbt2NQ4cOOCdVlVVZYwYMaLBZ5KdnW0Axscff9xsbHXrYHPr6/nnn9/sc9uzDh4uNjbWmDVrVqvtRCS8zZ8/3wAa9CWGYRj/+Mc/DMB47rnnvNOa6pPra64/37FjhwEYv//97xu0/+c//2kADfqiw3NLdXW10b9/f+Okk04yqqurve1+/vlno3fv3saYMWO8084991zDZrMZP/74Y7MxNpW7Dtdc3jvxxBMNh8PR7PMMwzBGjBhh/OIXvzAqKysbTJ827f+xd+fxUVX3/8dfM9mGNatsEREXUEGtrYoK7qJSHZxAolZqTYtLi7S21KWW1u2rUkGt7c9di46o1W8iMwSXCv2qKKiV4r40qEVFFjHJJCGQSSD3/P5IMiZkmywzc2fyfj4e84Dce+bO58y9cz/3M3fuuWebkSNHtupDS9HcJ3cn7zbnqkWLFpkNGzaYQw45xBxyyCHmiy++6PQ1unPs0LwNhqO57bfffhua9tVXX5nk5GTzy1/+slXb7du3mxEjRphzzz23w9f65JNPOt3+W66TcNb/RRddZIBWfTbGmFtuucUAZvXq1e0+r3mdPPbYYyYpKclUVFSE5p144okGMP/3f//X6WtH+/hQ+p6+bpGEsWPHDtauXcuMGTNwuVyh6UOGDMHtdvd4ubt37+bWW2/lkEMOITU1leTkZFJTU/n000/55JNP2rSfOXNmj+M/66yzCAaDvPDCC90eabQjlmWxe/fu0KOhoaHT9jU1NVxzzTUccMABJCcnk5yczODBg9mxY0e7/d2TMYbLLruM66+/nieffJKrr766TZuXXnqJ0047jfT0dJKSkkhJSeG6666jvLycbdu2dat/Lfu2e/fuLn+W9+yzz3LyySczatSoVs9rvg591apVHT735Zdf5tRTT2X48OGhaUlJSZx33nmt2n3ve98jNTWVSy+9FK/Xy3//+98Ol9nR9vrqq6+G1lW0tkER6b9mzZrV6u9zzz2X5ORkXn755U6fF87+vHm/eu6557Z6bn5+PsnJnf94s7S0lM2bN3PhhRe2Oks4ePBgZs6cyZtvvsnOnTvZuXMnq1at4txzz2WvvfYKu98Qft47+uijeeGFF/jd737HK6+8Qm1tbavlfPbZZ/znP/8JvZctc8wPf/hDtmzZQmlpabdi60h3c19v8+7bb7/NMcccw/Dhw1mzZg1jxoxpNb+3xw4tdfe45cUXX2T37t385Cc/afU8l8vFiSee2Ol1183bd0fbf0tdrf+W9lzeBRdc0Or1oPHOMdOnTyc7Ozu0Tn7yk5/Q0NDA+vXrWz0/MzOTU045peM3QRKCCnNJGIFAAMuyGDFiRJt57U0L17x58/jjH/+Ix+Nh+fLl/Otf/2Lt2rUcfvjh7e6UR44c2e3X2L17N/n5+axfv57nn3+e0aNH9zjePf3sZz8jJSUl9Dj11FM7bX/BBRdw9913c/HFF/Piiy/y1ltvsXbtWvbaa69Ok1Cz+vp6nn76aSZMmNDuoGtvvfUWp59+OgAPPfQQa9asYe3atcyfPx8grNdoqWXfUlJS8Hq9nbb/5ptvWL58eZvnNV86UFZW1uFzy8vLw9q+9t9/f/75z38ybNgwLr/8cvbff3/2339//vKXv3T53OZp9fX11NTUANHZBkWkf9tzX5ScnEx2dnabn+m2FO7+vHkZLb/UbPkanWl+bnv7tVGjRmFZFoFAgEAgQENDQ9iDiLUUbt7761//yjXXXIPf7+fkk08mKysLj8fDp59+ChC6bO7KK69sk2PmzJkDdJ5jwvXFF1+0WX5nXyr3Rd5duXIl33zzDRdffHG7Jw56e+zQ0k033dSqb/vvv3+n7Zvf96OOOqrN+/L00093mdeh4+2/pa7Wf2fPbV5+8+t99dVXHH/88WzatIm//OUvvPbaa6xdu5Z77rkHaLtOlNf7B11jLgkjMzMTh8PB1q1b28zbc1rzGco9B4Np7wDk8ccf5yc/+Qm33nprq+llZWXtJqeejMJ+6aWX8n//9388//zzHH744d1+fmduuOEG5s6dG/p7yJAhHbatqqri2Wef5frrr+d3v/tdaHpdXR0VFRVhvV5aWhovv/wyZ5xxBqeddhr/+Mc/yMzMDM1/6qmnSElJ4dlnn211ptjv93ejV99Zu3Ztq7/Hjh3bafucnBwOO+wwbrnllnbnjxo1qsPnZmdnh7V9ARx//PEcf/zxNDQ08O9//5v/9//+H7/+9a8ZPnx4q9u2dbS81NTU0D3ho7ENikj/tnXrVnJzc0N/7969m/Ly8k4L53D3583L+Oabb9p9jc40P3fLli1t5m3evBmn0xnK/0lJSXz99dedLm9P3cl7gwYN4sYbb+TGG2/km2++CZ09dbvd/Oc//wldR33ttdcyY8aMdl9vzzFBemLUqFFtcl9ny+2LvHvVVVfx+eefh85K/+QnPwnN64tjh5YuvfRSzj777NDfHY0N0Kz5fS8uLm5zJr8rzdtXR9t/S12t/z2f2/Kz05zrm6f5/X527NjB0qVLW8X87rvvthun8nr/oMJcEsagQYM4+uijWbp0KYsWLQoln+3bt7cabAMav7V3uVy8//77raYvW7aszXIdDkebpPDcc8+xadMmDjjggLBia35+e98a/+EPf+CRRx7B6/Vy2mmnhbW87th3331bjfDeGYfDgTGmTX8ffvjhLn9K1tIRRxzBqlWrOO200zjppJNYuXJlaACy5lt3NQ8EB43vS09vFXPkkUd2q/3ZZ5/N888/z/7779/qC4NwnHzyyZSUlPDNN9+Ezvw0NDTw9NNPd/icpKQkJk2axEEHHcQTTzzB22+/3aow72h7Pf7440PvUV9sgyIinXniiSdCA3lB4+Cdu3fv5qSTTurwOeHuz0844QSgcdTslvcnLy4u7vJuGOPHjyc3N5cnn3ySK6+8MlSg7Nixg2eeeSY0UjvAiSeeSFFREbfcckvYg431NO8NHz6cwsJC3nvvPe666y527tzJ+PHjOfDAA3nvvffafJHal1JTU7uV+/oi7zqdTh544AEGDx5MYWEhO3bs4Be/+EVo+X1x7NBs1KhRnX5JvqczzjiD5ORkPv/8825fytW8fXe0/XekvfXfcmDXJ554gl/96lehv5sHiW1+vebtuOV7ZozhoYce6lb8klhUmEtC+Z//+R/OPPNMpk6dym9/+1saGhq47bbbGDRoUKtvbR0OBz/+8Y9ZvHgx+++/P4cffjhvvfVWm9G1obGQe/TRRznooIM47LDDWLduHYsWLerWz+UmTpwIwIMPPsiQIUNwuVyMHTuWl156iVtuuYX8/HzGjRvHm2++GXpOWloaRxxxBADffvtt6GdqzbfIeuGFF9hrr73Ya6+9OPHEE7v/ZrVj6NChnHDCCSxatIicnBz23XdfVq1axd/+9rduX/N+8MEH89prr3Haaadxwgkn8M9//pO9996bs846izvvvJMLLriASy+9lPLycm6//fYuvxHvKzfddBMrV67kuOOO41e/+hXjx48nGAzyxRdf8Pzzz3P//fd3uG7/8Ic/UFJSwimnnMJ1113HwIEDueeee0K3gWt2//3389JLL3HWWWexzz77EAwGQyOs7vnlS1JSElOnTmXevHlYlsVtt91GdXU1N954Y6hNX2yD0HidZ/PtjxoaGvjyyy8pLi4GGg9ou3tdpogkjqVLl5KcnMzUqVNDo7Iffvjhba4Lbync/fmECRP40Y9+xB133EFSUhKnnHIKH330EXfccQfp6emdjjDtdDpZuHAhs2bN4uyzz+ayyy6jrq6ORYsWUVlZyZ/+9KdQ2zvvvJMpU6YwadIkfve733HAAQfwzTffUFJSwgMPPNDuL8a6k/cmTZrE2WefzWGHHUZmZiaffPIJS5YsafXlwAMPPMC0adM444wzKCwsJDc3l4qKCj755BPefvttioqKQsuL1j65L/PuHXfcwZAhQ5gzZw41NTVcddVVfXrs0BP77rsvN910E/Pnz+e///0vZ555JpmZmXzzzTe89dZboTPd7Tn44IP58Y9/zF133UVKSgqnnXYaH374IbfffjtDhw5t1Tac9Q+NX5zccccd1NTUcNRRR4VGZZ82bVroDgJTp04lNTWVH/3oR1x99dUEg0Huu+8+AoFAt/oereNDiZIYDjwnEhElJSXmsMMOM6mpqWafffYxf/rTn9od8bOqqspcfPHFZvjw4WbQoEHG7XabL774os1I3IFAwMyePdsMGzbMDBw40EyZMsW89tprbUYubR5ptKioqN247rrrLjN27FiTlJQUGhG+Oa72HmPGjGmz7PYenY2Q2xNff/21mTlzpsnMzDRDhgwxZ555pvnwww/NmDFjOh0515jWo7K3XN5BBx1k9t13X/P5558bY4xZvHixGT9+vElLSzP77befWbBggfnb3/7WZjTRSIzKbowx3377rfnVr35lxo4da1JSUkxWVpb5wQ9+YObPn29qamo6fa01a9aYY445xqSlpZkRI0aYq666yjz44IOtYn/jjTdMXl6eGTNmjElLSzPZ2dnmxBNPNCUlJaHlNI90e9ttt5kbb7zR7L333iY1NdUcccQR5sUXX2z1mn21DTaP7Nreo6s7BohIYmrOQ+vWrTNut9sMHjzYDBkyxPzoRz8y33zzTau27e2Tw92fB4NBM2/ePDNs2DDjcrnMMcccY9544w2Tnp7e7t0l9twn+f1+M2nSJONyucygQYPMqaeeatasWdOmPx9//LEpKCgw2dnZoeOAwsJCEwwGO1x+uHnvd7/7nTnyyCNNZmZmqL+/+c1vTFlZWasY3nvvPXPuueeaYcOGmZSUFDNixAhzyimnmPvvv7/N+xmtfXJP827LUdlbah4B/LrrrjPG9O7Yobejsjfz+/3m5JNPNkOHDjVpaWlmzJgxJj8/3/zzn//s9LXq6urMb3/72zbbZk/Wf/Nx0Pvvv29OOukkM2DAAJOVlWV+8YtftDq+MMaY5cuXm8MPP9y4XC6Tm5trrrrqKvPCCy+0eX9OPPFEM2HChHbfj2geH0rkOYzpYhhHkQRwww03cOONN3Y5aqlItHzxxReMHTuWRYsWceWVV8Y6HBHpp5rz47ffftsn95rujtdff53JkyfzxBNPhEatFolnhYWFFBcXhwZvFekO/ZRdRERERCJq5cqVvPHGG/zgBz9gwIABvPfee/zpT3/iwAMP7HCgNBGR/kSFuYiIiIhE1NChQ1mxYgV33XUX27dvJycnh2nTprFgwYJWI4WLiPRX+im7iIiIiIiISAx1PAymiIiIiIiIiEScCnMRERERERGRGFJhLiIiIiIiIhJD/XLwN8uy2Lx5M0OGDMHhcMQ6HBERkYgxxrB9+3ZGjRqF02mP7+OVh0VEpL8INw/3y8J88+bNjB49OtZhiIiIRM3GjRvZe++9Yx0GoDwsIiL9T1d52FaF+YIFC1i6dCn/+c9/GDBgAMcddxy33XYb48ePD7UpLCzE6/W2et6kSZN48803w36dIUOGAI1vztChQ/smeBERERuqrq5m9OjRodxnB8rDIiLSX4Sbh21VmK9atYrLL7+co446it27dzN//nxOP/10Pv74YwYNGhRqd+aZZ/LII4+E/k5NTe3W6zT/bG7o0KE6IBARkX7BTj8ZVx4WEZH+pqs8bKvC/B//+Eervx955BGGDRvGunXrOOGEE0LT09LSGDFiRLTDExEREREREelztirM91RVVQVAVlZWq+mvvPIKw4YNIyMjgxNPPJFbbrmFYcOGdbicuro66urqQn9XV1dHJmARERFpQ3lYRESkc/YYnrUdxhjmzZvHlClTmDhxYmj6tGnTeOKJJ3jppZe44447WLt2LaecckqrhL+nBQsWkJ6eHnpowBkREZHoUR4WERHpnMMYY2IdRHsuv/xynnvuOVavXt3p6HVbtmxhzJgxPPXUU8yYMaPdNu19Uz969Giqqqp0bZuIiCS06upq0tPTY5rzlIdFRKS/CjcP2/Kn7L/85S8pKSnh1Vdf7fLWLiNHjmTMmDF8+umnHbZJS0sjLS2tr8MUERGRMCgPi4iIdM5Whbkxhl/+8pf4fD5eeeUVxo4d2+VzysvL2bhxIyNHjoxChCIiIiIiIiJ9y1bXmF9++eU8/vjjPPnkkwwZMoStW7eydetWamtrAaipqeHKK6/kjTfe4IsvvuCVV17B7XaTk5NDXl5ejKMXERERERER6T5bnTG/7777ADjppJNaTX/kkUcoLCwkKSmJDz74gMcee4zKykpGjhzJySefzNNPP93lDdtFRERiJRgMUlRUhN/vp7y8kuzsDDweDwUFBbhcrrDbiIiISGKy7eBvkWSHgXBERKR/KCkpobBwNoFAGU7nFCwrF6dzE5a1mszMHLzexRhjumzjdrt79Pp2zHl2jElERCQS4nrwNxERkURQUlKCx5MHuIGFWNY4ACwLYD2VlVczffo5OByOTtucc44Hv9/H9OnTY9ENERERiTBbXWMuIiKSKILBIIWFswE3xjwDjNujxTiMeQJIw5izOmnzDOCmsHA2wWAwCpGLiIhItKkwFxERiYCioiICgTKMWQgkddBqKRAEbu+kTRLG3EYgUEZxcXEkQhUREZEYU2EuIiISAX6/H6dzCm3PgrdqBXTVBmA8TudkfD5fX4UnIiIiNqLCXEREJALKyyuxrNwuWlUCXbVpZFm5VFRU9jIqERERsSMV5iIiIhGQnZ2B07mpi1YZQFdtGjmdm8jKyuhlVCIiImJHKsxFREQiwOPxYFmrgfWdtQK6agNQimWtIS8vr6/CExERERtRYS4iIhIBBQUFZGbm4HBcDTR00GoG4AKu7KRNAw7HNWRm5pCfnx+JUEVERCTGVJiLiIhEgMvlwutdDCzH4ZhJ27PipTgcs4A6HI7nOmkzE1iO17sYl8sVhchFREQk2pJjHYCIiEi8CwaDFBUV4ff7KS+vJDs7A4/HQ0FBAX6/j8LC2QQCjSOrW1YuTucmLGsNGRk5eL3LMMZ00caP2+2OdTdFREQkQlSYi4iI9EJJSUlTUV2G0zklVFQvXfoTrrhiHl7vYjZv3khxcTE+n4+KijKysoaTl7eE/Pz80FnwcNqIiIhIYnIYY0ysg4i26upq0tPTqaqqYujQobEOR0RE4lRJSQkeTx7gxpiFtL4f+fqm68uX4/f7mD59ekxitGPOs2NMIiIikRBuztM15iIiIj0QDAYpLJxNY1H+DK2LcoBxTdPdFBbOJhgMRj9IERERiQsqzEVERHqgqKiIQKCs6Ux5UgetkjDmNgKBMoqLi6MZnoiIiMQRFeYiIiI94Pf7cTqn0PZM+Z4aB3Tz+XzRCEtERETikApzERGRHigvr8SycsNqa1m5VFRURjYgERERiVsqzEVERHogOzsDp3NTWG2dzk1kZWVENiARERGJWyrMRUREesDj8WBZq4H1XbQsxbLWkJeXF42wREREJA6pMBcREemBgoICMjNzmm6J1tBBqwYcjmvIzMwhPz8/muGJiIhIHFFhLiIi0gMulwuvdzGwHIdjJm3PnJc2TV+O17sYl8sV/SBFREQkLiTHOgARERE7CwaDFBUV4ff7KS+vJDs7A4/HQ0FBAW63G7/fR2HhbAKBxtHXLSsXp3MTlrWGjIwcvF4/brc71t1ISJ2tG30RIiIi8cRhjDGxDiLaqqurSU9Pp6qqiqFDh8Y6HBERsamSkpKmorsMp3NKi6J7NZmZOXi9i3G73QSDQYqLi/H5fFRUVJKVlUFeXh75+fkxLxDtmPP6IqZw142IiEgshZvzVJjb5CBFRETspaSkBI8nD3BjzEJa3698fdO15cvx+31Mnz49NkGGwY45r7cxJcq6ERGRxKfCvBN2PEgRERH7CAaDjBo1msrKyRjzDJDUTqsGHI6ZZGSsYfPmjTE/M94RO+a83sSUSOtGREQSX7g5T4O/iYiI7KGoqIhAoKzpbGx7hR9AEsbcRiBQRnFxcTTD69e0bkREJBGpMBcREdmD3+/H6ZxC659It6dxwDefzxeNsAStGxERSUwqzEVERPZQXl6JZeWG1daycqmoqIxsQBKidSMiIolIhbmIiMgesrMzcDo3hdXW6dxEVlZGZAOSEK0bERFJRCrMRURE9uDxeLCs1cD6LlqWYllryMvLi0ZYgtaNiIgkJhXmIiIieygoKCAzM6fptlsNHbRqwOG4hszMHPLz86MZXr+mdSMiIolIhbmIiMgeXC4XXu9iYDkOx0zanp0tbZq+HK93sW7HFUVaNyIikohUmIuIiLTD7Xbj9/vIyFhD4wjfU4Dzmv49iIyMNSxb5sftdsc40v5H60ZERBJNcqwDEBERiaVgMEhRURF+v5/y8kqyszPweDwUFBQwffp0Nm/eSHFxMT6fj4qKMrKyhpOXt4T8/HydjY0hrRsREUkkDmOMiXUQ0VZdXU16ejpVVVUMHTo01uGIiEiMlJSUUFg4m0CgDKdzCpaVi9O5CctaTWZmDl7v4rg/62rHnGfHmERERCIh3Jynn7KLiEi/VFJSgseTR2XlZBpH8H4NeKrp31IqKydzzjkeSkpKYhypiIiIJDoV5iIi0u8Eg0EKC2cDbox5Bhi3R4txTdPdFBbOJhgMRj9IERER6TdUmIuISL9TVFREIFCGMQuBpA5aJWHMbQQCZRQXF0czPBEREelnVJiLiEi/4/f7m0bw3vNM+Z7G43ROxufzRSMsERER6adUmIuISL9TXl6JZeWG1daycqmoqIxsQCIiItKvqTAXEZF+Jzs7A6dzU1htnc5NZGVlRDYgERER6ddUmIuISL/j8XiwrNXA+i5almJZa8jLy4tGWCIiItJPqTAXEZF+p6CggMzMHByOq4GGDlo14HBcQ2ZmDvn5+dEMT0RERPoZFeYiItLvuFwuvN7FwHIcjpm0PXNe2jR9OV7vYlwuV/SDFBERkX4jOdYBiIiI9FQwGKSoqAi/3095eSXZ2Rl4PB4KCgpwuVydzne73fj9PgoLZxMINI6+blm5OJ2bsKw1ZGTk4PX6cbvdse6m9EJX24iIiIgdOIwxJtZBRFt1dTXp6elUVVUxdOjQWIcjIiI9UFJS0lRUl+F0TmlRVK8mMzOHOXMu4957H+hwvte7GLfbTTAYpLi4GJ/PR0VFJVlZGeTl5ZGfn58QhZsdc160YupqG2neBkRERCIl3Jxnq8J8wYIFLF26lP/85z8MGDCA4447jttuu43x48eH2hhjuPHGG3nwwQcJBAJMmjSJe+65hwkTJoT9OnY8SBERkfCVlJTg8eQBboxZSOv7ka8HLgTW4nC4MWZRm/mN15Yvx+/3MX369OgFHgN2zHnRiKmrbaQ/bQMiIhI74eY8W11jvmrVKi6//HLefPNNVq5cye7duzn99NPZsWNHqM3ChQu58847ufvuu1m7di0jRoxg6tSpbN++PYaRi4hItASDQQoLZ9NYcD1D64ILYB/gv8DZGLO0nfnjmp7nprBwNsFgMPJBS1R1vY1oGxAREXuxVWH+j3/8g8LCQiZMmMDhhx/OI488wldffcW6deuAxrPld911F/Pnz2fGjBlMnDgRr9fLzp07efLJJ2McvYiIRENRURGBQFnTWdCk9loAZcDtHcwHSMKY2wgEyiguLo5UqBIjXW8joG1ARETsxFaF+Z6qqqoAyMrKAmDDhg1s3bqV008/PdQmLS2NE088kddff73D5dTV1VFdXd3qISIi8cnv9+N0TqHtWdBQC6Cz+c0aB3zz+Xx9GZ60I9p5uOttpJm2ARERsQfbFubGGObNm8eUKVOYOHEiAFu3bgVg+PDhrdoOHz48NK89CxYsID09PfQYPXp05AIXEZGIKi+vxLJyO2lRCXQ2/zuWlUtFRWUfRCWdiXYe7nob+Y62ARERsQPbFuZz587l/fff5+9//3ubeQ6Ho9Xfxpg201q69tprqaqqCj02btzY5/GKiEh0ZGdn4HRu6qRFBtDZ/O84nZvIysrog6ikM9HOw11vI9/RNiAiInZgy8L8l7/8JSUlJbz88svsvffeoekjRowAaHN2fNu2bW3OoreUlpbG0KFDWz1ERCQ+eTweLGs1jaOvt9sC6Gx+s1Isaw15eXl9GZ60I9p5uOttpJm2ARERsQdbFebGGObOncvSpUt56aWXGDt2bKv5Y8eOZcSIEaxcuTI0rb6+nlWrVnHcccdFO1wREYmBgoICMjNzmm531dBeCyAHuLKD+QANOBzXkJmZQ35+fqRClRjpehsBbQMiImIntirML7/8ch5//HGefPJJhgwZwtatW9m6dSu1tbVA40/Yf/3rX3Prrbfi8/n48MMPKSwsZODAgVxwwQUxjl5ERKLB5XLh9S4GluNwzKTtWdEvgf2BZ3E4ZrQzv7TpecvxehfjcrkiH7REVdfbiLYBERGxl+RYB9DSfffdB8BJJ53UavojjzxCYWEhAFdffTW1tbXMmTOHQCDApEmTWLFiBUOGDIlytCIiEmnBYJCioiL8fj/l5ZVkZ2fg8XgoKCjA7/dRWDibQKBxZG3LysXp3IRlrSEzM4c5c37Pvfc+0O78jIwcvF4/brc71l2UCHG73Z1uI9oGRETEThzGGBPrIKKturqa9PR0qqqqdL25iIhNlZSUNBVVZTidU1oUVavJzMzB613M1KlTKS4uxufzUVFRSVZWBnl5eeTn5+NyuQgGg53O7w/smPOiGZO2ARERiaVwc54Kc5scpIiIyHdKSkrwePIAN8YspPX9qNc3XTu8HL/fx/Tp02MTZJywY86zY0wiIiKREG7Os9U15iIiIsFgkMLC2TQW5c/QuigHGNc03U1h4WyCwWD0gxQRERHpQyrMRUTEVoqKiggEyprOlCd10CoJY24jECijuLg4muGJiIiI9DkV5iIiYit+vx+ncwptz5TvqXFAL5/PF42wRERERCJGhbmIiNhKeXkllpUbVlvLyqWiojKyAYmIiIhEmApzERGxlezsDJzOTWG1dTo3kZWVEdmARERERCJMhbmIiNiKx+PBslYD67toWYplrSEvLy8aYYmIiIhEjApzERGxlYKCAjIzc5puidbQQasGHI5ryMzMIT8/P5rhiYiIiPQ5FeYiImIrLpcLr3cxsByHYyZtz5yXNk1fjte7GJfLFf0gRURERPpQcqwDEBGR/ikYDFJUVITf76e8vJLs7Aw8Hg8FBQW43W78fh+FhbMJBBpHX7esXJzOTVjWGjIycvB6/bjd7lh3Q+JcZ9uhvvQREZFocRhjTKyDiLbq6mrS09Opqqpi6NChsQ5HRKTfKSkpaSq6y3A6p7QouleTmZmD17sYt9tNMBikuLgYn89HRUUlWVkZ5OXlkZ+fr6IpTHbMeXaJKdztUEREpKfCzXkqzG1ykCIi0l+UlJTg8eQBboxZSOv7la9vurZ8OX6/j+nTp8cmyARix5xnh5i0HYqISDSoMO+EHQ4IRET6o2AwyKhRo6msnIwxzwBJ7bRqwOGYSUbGGjZv3qgz471kx5wX65i0HYqISLSEm/M0+JuIiERNUVERgUBZ0xnK9oohgCSMuY1AoIzi4uJohif9hLZDERGxGxXmIiISNX6/H6dzCq1/NtyexgHffD5fNMKSfkbboYiI2I0KcxERiZry8kosKzestpaVS0VFZWQDkn5J26GIiNiNCnMREYma7OwMnM5NYbV1OjeRlZUR2YCkX9J2KCIidqPCXEREosbj8WBZq4H1XbQsxbLWkJeXF42wpJ/RdigiInajwlxERKKmoKCAzMycpltRNXTQqgGH4xoyM3PIz8+PZnjST2g7FBERu1FhLiIiUeNyufB6FwPLcThm0vaMZWnT9OV4vYt1iyqJCG2HIiJiNyrMRUQkqtxuN36/j4yMNTSOej0FOK/p34PIyFjDsmV+3G53jCOVRKbtUERE7CQ51gGIiEhiCgaDFBUV4ff7KS+vJDs7A4/HQ0FBAdOnT2fz5o0UFxfj8/moqCgjK2s4eXlLyM/P1xlKiQpthyIiYhcOY4yJdRDRVl1dTXp6OlVVVQwdOjTW4YiIJJySkhIKC2cTCJThdE7BsnJxOjdhWavJzMzB612sM5FRYsecZ8eYREREIiHcnKefsouISJ8qKSnB48mjsnIyjaNavwY81fRvKZWVkznnHA8lJSUxjlRERETEHlSYi4hInwkGgxQWzgbcGPMMMG6PFuOaprspLJxNMBiMfpAiIiIiNqPCXERE+kxRURGBQBnGLASSOmiVhDG3EQiUUVxcHM3wRERERGxJhbmIiPQZv9/fNKr1nmfK9zQep3MyPp8vGmGJiIiI2JoKcxER6TPl5ZVYVm5YbS0rl4qKysgGJCIiIhIHVJiLiEifyc7OwOncFFZbp3MTWVkZkQ1IREREJA6oMBcRkT7j8XiwrNXA+i5almJZa8jLy4tGWCIiIiK2psJcRET6TEFBAZmZOTgcVwMNHbRqwOG4hszMHPLz86MZnoiIiIgtqTAXEZE+43K58HoXA8txOGbS9sx5adP05Xi9i3G5XNEPUkRERMRmkmMdgIiIxJ9gMEhRURF+v5/y8kqyszPweDwUFBTgdrvx+30UFs4mEGgcfd2ycnE6N2FZa8jIyMHr9eN2u2PdDZEudbat64slERHpKw5jjIl1ENFWXV1Neno6VVVVDB06NNbhiIjElZKSkqaiuwync0qLons1mZk5eL2LcbvdBINBiouL8fl8VFRUkpWVQV5eHvn5+SpoosiOOc+OMbUn3G1dRESkI+HmPBXmNj4gEBGxm5KSEjyePMCNMQtpfb/y9U3Xli/H7/cxffr02AQprdgx59kxpj1pWxcRkb6gwrwT8XBAICJiN8FgkFGjRlNZORljngGS2mnVgMMxk4yMNWzevFFnxm3AjjnPjjG1pG1dRET6Srg5T4O/iYhIWIqKiggEyprOHrZXqAAkYcxtBAJlFBcXRzM8kT6jbV1ERKJNhbmIiITF7/fjdE6h9U9629M44JvP54tGWCJ9Ttu6iIhEmwpzEREJS3l5JZaVG1Zby8qloqIysgGJRIi2dRERiTYV5iIiEpbs7Ayczk1htXU6N5GVlRHZgEQiRNu6iIhEmwpzEREJi8fjwbJWA+u7aFmKZa0hLy8vGmGJ9Dlt6yIiEm0qzEVEJCwFBQVkZuY03SaqoYNWDTgc15CZmUN+fn40wxPpM9rWRUQk2lSYi4hIWFwuF17vYmA5DsdM2p5NLG2avhyvd7FuHyVxS9u6iIhEW3KsAxAREfsJBoMUFRXh9/spL68kOzsDj8dDQUEBfr+PwsLZBAKNI1JbVi5O5yYsaw0ZGTl4vX7cbnesuyDSK263O+xtvbPPi4p2EREJh8MYY2IdRLSFe5N3EZH+qKSkpKkYKcPpnNKiGFlNZmYOXu9ipk6dSnFxMT6fj4qKSrKyMsjLyyM/P1+FiM3YMefZMaaOBIPBTrf1cD4v+qJKRKT/Cjfn2a4wf/XVV1m0aBHr1q1jy5Yt+Hw+PB5PaH5hYSFer7fVcyZNmsSbb74Z9mvE0wGBiEg0lZSU4PHkAW6MWUjr+zivb7rmdjl+v4/p06fHJkjpFjvmPDvG1BP6vIiISFfCzXm2u8Z8x44dHH744dx9990dtjnzzDPZsmVL6PH8889HMUIRkcQUDAYpLJxNY5HxDK2LDIBxTdPdFBbOJhgMRj9IEZvQ50VERPqS7a4xnzZtGtOmTeu0TVpaGiNGjIhSRCIi/UNRURGBQBmwEEjqoFUSxtxGIHAQxcXF/PjHP45ihCL2oc+LiIj0JdudMQ/HK6+8wrBhwxg3bhyXXHIJ27Zt67R9XV0d1dXVrR4iItKa3+/H6ZxC2zN/e2ocCMvn80UjLEkAiZiH9XkREZG+FHeF+bRp03jiiSd46aWXuOOOO1i7di2nnHIKdXV1HT5nwYIFpKenhx6jR4+OYsQiIvGhvLwSy8oNq61l5VJRURnZgCRhJGIe1udFRET6UtwV5ueddx5nnXUWEydOxO1288ILL7B+/Xqee+65Dp9z7bXXUlVVFXps3LgxihGLiMSH7OwMnM5NYbV1OjeRlZUR2YAkYSRiHtbnRURE+lLcFeZ7GjlyJGPGjOHTTz/tsE1aWhpDhw5t9RARkdY8Hg+WtRpY30XLUixrDXl5edEISxJAIuZhfV5ERKQvxX1hXl5ezsaNGxk5cmSsQxERiWsFBQVkZuY03eKpoYNWDTgc15CZmUN+fn40wxOxFX1eRESkL9muMK+pqeHdd9/l3XffBWDDhg28++67fPXVV9TU1HDllVfyxhtv8MUXX/DKK6/gdrvJycnRN9EiIr3kcrnwehcDy3E4ZtL2TGBp0/TleL2Lcblc0Q9SxCb0eRERkb5ku8L83//+N0cccQRHHHEEAPPmzeOII47guuuuIykpiQ8++IBzzjmHcePGcdFFFzFu3DjeeOMNhgwZEuPIRUTiQzAYZMmSJcycOZOTTjqVmTNnsmTJEoLBIG63G7/fR0bGGhpHk54CnNf070FkZKxh2TI/brc7xr0QiT19XkREpK84jDEm1kFEW3V1Nenp6VRVVSXEdW4iIuEqKSmhsHA2gUAZTucULCsXp3MTlrWazMwcvN7FuN1ugsEgxcXF+Hw+KioqycrKIC8vj/z8fJ35izN2zHl2jKk39HkREZGOhJvzVJgnwAGBiEg4SkpK8HjyADfGLKT1/ZfXN10ruxy/38f06dNjE6T0OTvmPDvGJCIiEgnh5jzb/ZRdRET6XjAYpLBwNo1F+TO0LsoBxjVNd1NYOJtgMBj9IEVERET6KRXmIiL9QFFREYFAWdOZ8qQOWiVhzG0EAmUUFxdHMzwRERGRfk2FuYhIP+D3+5sGpNrzTPmexuN0Tsbn80UjLBEREREBknvz5F27drF161Z27tzJXnvtRVZWVl/FJSIifai8vBLLyg2rrWXlUlFRFuGIRERERKRZt8+Y19TU8MADD3DSSSeRnp7OvvvuyyGHHMJee+3FmDFjuOSSS1i7dm0kYhURkR7Kzs7A6dwUVluncxNZWRmRDUhEREREQrpVmP/5z39m33335aGHHuKUU05h6dKlvPvuu5SWlvLGG29w/fXXs3v3bqZOncqZZ57Jp59+Gqm4RUSkGzweD5a1GljfRctSLGsNeXl50QhLREREROjm7dIKCgq47rrrOPTQQzttV1dXx9/+9jdSU1O5+OKLex1kX9NtWkSkvwkGg4waNZrKyslNo6+3NwBcAw7HTDIy1rB580bdfzlB2DHn2TEmERGRSAg353XrGvOioqKw2qWlpTFnzpzuLFpERCLI5XLh9S7mnHM8OBwz27mPeSkOxzXAcrxev4pyERERkSjSqOwiIv2E2+3G7/eRkbGGxtHXpwDnNf17EBkZa1i2zI/b7Y5xpCIiIiL9S7cL85deeolDDjmE6urqNvOqqqqYMGECr732Wp8EJyIi3RcMBlmyZAkzZ87kpJNOZebMmSxZsoRgMMj06dPZvHkjS5YsweMZzkknleHxDGfJkiVs3rxRRblIBHT2mRQREYFuXmMOMH36dE4++WR+85vftDv/r3/9Ky+//LKt74Gra9tEJFGVlJRQWDibQKAMp3MKlpWL07kJy1pNZmYOXu9iFd/9jB1znh1jihR9JkVE+rdwc163z5i/9957nHnmmR3OP/3001m3bl13FysiIr1UUlKCx5NHZeVkGkdXfw14qunfUiorJ3POOR5KSkpiHKlI/6DPpIiIhKvbhfk333xDSkpKh/OTk5P59ttvexWUiIh0TzAYpLBwNuBuGnV93B4txjVNd1NYOFs/oRWJMH0mRUSkO7pdmOfm5vLBBx90OP/9999n5MiRvQpKRES6p6ioiECgrGm09fZuhQaQhDG3EQiUUVxcHM3wRPodfSZFRKQ7ul2Y//CHP+S6665r95vd2tparr/+es4+++w+CU5ERMLj9/ubRlff86zcnsbjdE629TggIolAn0kREemObt3HHOAPf/gDS5cuZdy4ccydO5fx48fjcDj45JNPuOeee2hoaGD+/PmRiFVERDpQXl6JZeWG1daycqmoKItwRCL9mz6TIiLSHd0uzIcPH86aNWuYM2cO1157Lc2DujscDs444wzuvfdehg8f3ueBiohIx7KzM5pGeu66rdO5iaws7adFIkmfSRER6Y5u/5QdYN999+X555+nrKyMf/3rX7z55puUlZXx/PPPs++++/ZxiCIi0hWPx4NlrQbWd9GyFMtaQ15eXjTCEum39JkUEZHu6PZ9zGtra7nrrruoqqriiiuuiMuB3vrT/VNFpH8IBoOMGjWaysrJTSM9tzfYVAMOx0wyMtawefNGXC5XtMOUGLBjzrNjTH1Nn0kREYEI3sd89uzZfPbZZ2RnZ3Paaaf1KkgREekbLpcLr3cxsByHYyZtz9KVNk1fjte7WAWASITpMykiIt3R7TPmo0aNYuXKlUyYMIHU1FS+/vprhg0bFqn4IqI/fFMvIokrGAxSVFSE3++nvLyS7OwMPB4PBQUFrFixgsLC2QQCZTidk7Gs3KbrXNeQmZmD17sYt9sd6y5IFNkx59kxpkgpKSkJ6zPZ2edaRbuISPwKN+d1uzD/0Y9+xJAhQxg3bhz3338/n332Wa+Djbb+dEAgIoml9UH+lBYH+atDB/lTp06luLgYn89HRUUlWVkZ5OXlkZ+frwP8fsiOOc+OMUVSMBjs9DMZzudaX6iJiMSniBXmO3bs4K677qKyspK5c+cyZsyYXgcbbf3tgEBEEkNJSQkeTx7gxpiFtL4/8nocjquB5fj9PqZPnx6bIMV27Jjz7BhTrOhzLSKS2CJWmCcCHRCISLzRQFLSU3bMeXaMKRb0uRYRSXwRG/xNRESir6ioiECgrOmMWnsH7wBJGHMbgUAZxcXF0QxPRHpAn2sREWnWrcL8q6++6tbCN23a1K32IiLSPr/fj9M5hdY/c23PeJzOyfh8vmiEJSK9oM+1iIg061ZhftRRR3HJJZfw1ltvddimqqqKhx56iIkTJ7J06dJeBygiIlBeXoll5YbV1rJyqaiojGxAItJr+lyLiEiz5O40/uSTT7j11ls588wzSUlJ4cgjj2TUqFG4XC4CgQAff/wxH330EUceeSSLFi1i2rRpkYpbRKRfyc7OaBqlueu2TucmsrKGRz4oEekVfa5FRKRZt86YZ2Vlcfvtt7N582buu+8+xo0bR1lZGZ9++ikAs2bNYt26daxZs0ZFuYhIH/J4PFjWamB9Fy1Lsaw15OXlRSMsEekFfa5FRKSZRmXvx6PBikj80OjN0lN2zHl2jCkW9LkWEUl8GpVdRCSBuFwuvN7FwHIcjpm0PcNW2jR9OV7vYh28i8QBfa5FRKSZCnMRERsJBoMsWbKEmTNnctJJpzJz5kyWLFlCMBjE7Xbj9/vIyFhD4yjNU4Dzmv49iIyMNSxb5sftdse4FyISrnA/11OnTu1w3yAiIvFPP2Xvxz+hExF7KSkpobBwNoFAGU7nFCwrt2lgqNVkZubg9S7G7XYTDAYpLi7G5/NRUVFJVlYGeXl55Ofn64yatGHHnGfHmGKts8/1ihUrwto3iIiI/YSb81SY64BARGygpKQEjycPcGPMQlrf13g9DsfVwHL8fh/Tp0+PTZASl+yY8+wYk11p3yAiEt8ido35z372M7Zv396r4ERE5DvBYJDCwtk0Hng/Q+sDb4BxTdPdFBbO1k9XRfoJ7RtERPqPbhfmXq+X2traSMQiItIvFRUVEQiUNZ0Na29UZoAkjLmNQKCM4uLiaIYnIjGifYOISP/R7cK8H/7yXUQkovx+f9NAT3ueDdvTeJzOyfh8vmiEJSIxpn2DiEj/0aNR2R0OR1/HISLSb5WXV2JZuWG1taxcKioqIxuQiNiC9g0iIv1Hck+eNG7cuC6L84qKih4FJCLS32RnZzSNsNx1W6dzE1lZwyMflIjEnPYNIiL9R48K8xtvvJH09PS+jkVEpF/yeDwsXfoTYD2d/2S1FMtaQ17ekihFJiKxpH2DiEj/0e3bpTmdTrZu3cqwYcMiFVPE6TYtImInwWCQUaNGU1k5uWmE5fYGeWrA4ZhJRsYaNm/eqPuVS9jsmPPsGJMdad8gIhL/Ina7NF1fLiLSt1wuF17vYmA5DsdMGs+OtVTaNH05Xu9iHXiL9BPaN4iI9B/d/im7RmUXEem5YDBIUVERfr+f8vJKsrMz8Hg8FBQU4Pf7KCycTSDQOMKyZeU2XV+6hoyMHLxeP263O9ZdEJEocrvd2jeIiPQD3S7MrXBGIBERkTZKSkqaDq7LcDqnhA6uly79CVdcMQ+vdzGbN2+kuLgYn89HRUUZWVnDyctbQn5+vs6GifRT06dP175BRCTBdfsa80h79dVXWbRoEevWrWPLli34fD48Hk9ovjGGG2+8kQcffJBAIMCkSZO45557mDBhQtivoWvbRCTaSkpK8HjyADfGLKT1QE7rcTiuBpbj9/uYPn16bIKUhGTHnGfHmERERCIhYteYR9qOHTs4/PDDufvuu9udv3DhQu68807uvvtu1q5dy4gRI5g6dSrbt2+PcqQiIuEJBoMUFs6msSh/hrajK49rmu6msHA2wWAw+kGKiIiISMzYrjCfNm0aN998MzNmzGgzzxjDXXfdxfz585kxYwYTJ07E6/Wyc+dOnnzyyRhEKyLStaKiIgKBsqYz5e2NqgyQhDG3EQiUUVxcHM3wRERERCTGbFeYd2bDhg1s3bqV008/PTQtLS2NE088kddff73D59XV1VFdXd3qISISLX6/H6dzCp3fhxigcWAnn88XjbBEokZ5WEREpHPdGvxt3rx5Ybe98847ux1MV7Zu3QrA8OHDW00fPnw4X375ZYfPW7BgATfeeGOfxyMiEo7y8kosKzestpaVS0VFWYQjEoku5WEREZHOdaswf+edd8JqF+l7ne+5fGNMp6957bXXtvpSobq6mtGjR0csPhGRlrKzM5pubdR1W6dzE1lZw7tuKBJHlIdFREQ6163C/OWXX45UHGEZMWIE0HjmfOTIkaHp27Zta3MWvaW0tDTS0tIiHp+ISHs8Hg9Ll/4EWE/nP2cvxbLWkJe3JEqRiUSH8rCIiEjn4uoa87FjxzJixAhWrlwZmlZfX8+qVas47rjjYhiZiEjHCgoKyMzMabolWkMHrRpwOK4hMzOH/Pz8aIYnIiIiIjHWrTPm7fn444/56quvqK+vbzW9p/fhramp4bPPPgv9vWHDBt59912ysrLYZ599+PWvf82tt97KgQceyIEHHsitt97KwIEDueCCC3rVDxGRSHG5XHi9iznnHA8Ox8x27mNeisNxDbAcr9ePy+WKUaQiIiIiEgs9Lsz/+9//kpeXxwcffIDD4cAYA3x3/XdDQ0dnhTr373//m5NPPjn0d/M1aRdddBGPPvooV199NbW1tcyZM4dAIMCkSZNYsWIFQ4YM6WlXREQizu124/f7KCycTSDQOPq6ZeU2XXu+hoyMHLxeP263O9ahioiIiEiUOUxzRd1NbrebpKQkHnroIfbbbz/eeustysvL+e1vf8vtt9/O8ccf39ex9pnq6mrS09Opqqpi6NChsQ5HRBJEMBikqKgIv99PeXkl2dkZeDweCgoKQmfBg8EgxcXF+Hw+KioqycrKIC8vj/z8fJ0pl4iwY86zY0yJIJx9kIiIRFe4Oa/HhXlOTg4vvfQShx12GOnp6bz11luMHz+el156id/+9rdhj+AeCzogEOm+YDDIhRdeCMCSJUt0kLeHkpKSprPhZTidU1qcDV9NZmYOXu9inQ2XmLBjzrNjTPFO+yAREXsKN+f1ePC3hoYGBg8eDDQW6Zs3bwZgzJgxlJaW9nSxImJTDQ0NFBcXU1xc3ONLVRJVSUkJHk8elZWTaRxZ/TXgqaZ/S6msnMw553goKSmJcaQikoi0DxIRiX89vsZ84sSJvP/+++y3335MmjSJhQsXkpqayoMPPsh+++3XlzGKiA2kpqZy9913h/4vjYLBIIWFswE3xjwDJO3RYhzGPIPDMZPCwtls3rxRvzYQkT6jfZCISGLo8RnzP/zhD1iWBcDNN9/Ml19+yfHHH8/zzz/PX/7ylz4LUETsISUlhcsvv5zLL7+clJSUWIdjG0VFRQQCZU0jre95QNwsCWNuIxAoo7i4OJrhiUiC0z5IRCQx9LgwP+OMM5gxYwYA++23Hx9//DFlZWVs27aNU089tc8CFBGxM7/fj9M5hda3P2tP40jsPp8vGmGJSD+hfZCISGLo8U/Zb7rppk7nX3fddT1dtIjYkGVZfP755wDsv//+OJ09/l4voZSXV2JZuWG1taxcKirKIhyRiPQn2geJiCSGHhfme37jumvXLjZs2EBycjL777+/CnORBFNbW8u4cY1nZGpqahg0aFCMI7KH7OyMppGPu27rdG4iK2t45IMSkX5D+yARkcTQ48K8vduhVVdXU1hYSF5eXq+CEhF7Sk9Pj3UItuPxeFi69CfAejr/KWkplrWGvLwlUYpMRPoD7YNERBJDj+9j3pEPP/yQs88+my+++KIvF9undP9UEekrwWCQUaNGU1k5uYMRkQEacDhmkpGxRiMiS9TZMefZMaZ4pX1QfNmxY0fodsP69ZlI/xDx+5h3pLKykqqqqr5erIiILblcLrzexcByHI6ZNJ61aqm0afpyvN7FOiAWkT6lfVB8SUlJYeHChSxcuFB3OBGRVnr8U/a//vWvrf42xrBlyxaWLFnCmWee2evARETsJhgMUlRUhN/vp7y8kuzsDDweDwUFBfj9PgoLZxMINI58bFm5Tdd9riEjIwev14/b7Y51F0QkAbnd7rD2QVOnTmXJkiXt7sNUsEdHamoqV111VazDEBEb6vFP2ceOHdvqb6fTyV577cUpp5zCtddey5AhQ/okwEjQT+hEuq+uro7LLrsMgAceeIC0tLQYRxRdJSUlTQe9ZTidU1oc9K4mMzMHr3cxU6dOpbi4GJ/PR0VFJVlZGeTl5ZGfn6+DXokZO+Y8O8aUCILBYIf7oBUrVnS5D9OXhyIifS/cnNfn15jHAx0QiHRff74urqSkBI8nD3BjzEJaD7C0HofjamA5fr+P6dOnxyZIkQ7YMefZMaZEpn2YfViWxZYtWwAYOXKkbj0q0g+oMO+EDghEuq++vp6//OUvAFxxxRWkpqbGOKLo0MBKEu/smPPsGFOi0j7MXvrzl9wi/VW4Oa9b15jPmzcv7LZ33nlndxYtIjbXX6+LKyoqIhAoAxbS/gEtQBLG3EYgcBDFxcX8+Mc/jmKEIiId0z7MfpKTezzEk4gksG7tGfa8d/m6detoaGhg/PjxAKxfv56kpCR+8IMf9F2EIiIx5Pf7m67H7Oz+wACNAy75fD4d1IqIbWgfZi+DBg1i165dsQ5DRGyoW4X5yy+/HPr/nXfeyZAhQ/B6vWRmZgIQCAT46U9/yvHHH9+3UYpIzPXX6+LKyyuxrNyw2lpWLhUVZRGOSEQkfNqHiYjEhx4fWd9xxx0sWLAgVJQDZGZmcvPNN3PHHXf0SXAiYh+1tbXsvffe7L333tTW1sY6nKjJzs7A6dwUVluncxNZWRmRDUhEpBu0DxMRiQ89Lsyrq6v55ptv2kzftm0b27dv71VQImJPycnJ/e7aOI/Hg2WtBtZ30bIUy1pDXl5eNMISEQmL9mH2UldXx+WXX87ll19OXV1drMMRERvp8ajsP/nJT1i1ahV33HEHxxxzDABvvvkmV111FSeccAJer7dPA+1LGg1WRMKlEY0l3tkx59kxpkSlfZi9aFR2kf4n3JzX4zPm999/P2eddRY//vGPGTNmDGPGjGHWrFlMmzaNe++9t6eLFRGxFZfLhde7GFiOwzGTtmedSpumL8frXawDWhGxFe3D7CUlJYXrr7+e66+/npSUlFiHIyI20uv7mO/YsYPPP/8cYwwHHHBAXHzzp2/qRWRPwWCQoqIi/H4/5eWVZGdn4PF4KCgowOVyUVJSQmHhbAKBMpzOyVhWLk7nJixrDZmZOXi9i3G73bHuhkgbdsx5dowp0YWzD5s6dWqn+0ERiZ6ujku6mi/2EW7O63VhHo90QCDSfXV1dcybNw9ovCtDWlpajCPqO60PWKe0OGBd3aroDgaDFBcX4/P5qKioJCsrg7y8PPLz85UExbbsmPPsGFN/0Nk+bMWKFWHtB0Uk8ro6Lpkz5zLuvfcBfV7jREQK83nz5vE///M/DBo0KHSA3pE777wz/GijTAcEIt2XqNfFlZSU4PHkAW6MWQi0vNfvehyOq4Hl+P0+pk+fHpsgRXrBjjnPjjH1Z9oPRo8xhqqqKgDS09NxOBwxjkjspqvPI1wIrMXhcGPMojbz9Xm1n3BzXreGV37nnXfYtWtX6P8d0U5GJPE0XxfX/P9EEAwGKSycTWPya29QpHEY8wwOx0wKC2drUCQRSTjaD0bXzp07Q7caTqQvuaVvdP153Af4L3A2xixtZ74+r/GsW4X5yy+/3O7/RSTxpaamcsMNN8Q6jD5VVFREIFAGLKT9kYoBkjDmNgKBgyguLubHP/5xFCMUEYks7QdF7KPrz2MRUAbc3sF80Oc1fvV4VPba2lp27twZ+vvLL7/krrvuYsWKFX0SmIhIpPn9fpzOKbT+GVh7xuN0Tsbn80UjLBGRqNF+MLoGDhxIfX099fX1DBw4MNbhiM10/Xn0A/q8JqoeF+bnnHMOjz32GACVlZUcffTR3HHHHZxzzjncd999fRagiNiDMYbKykoqKytJlDEjy8srsazcsNpaVi4VFZWRDUhEJMq0H4wuh8NBSkoKKSkpuvRT2uj681gJ6POaqHpcmL/99tscf/zxABQXFzNixAi+/PJLHnvsMf7617/2WYAiYg/N18VlZma2+rVMPMvOzsDp3BRWW6dzE1lZGZENSEQkyrQfFLGPrj+PGYA+r4mqx4X5zp07GTJkCAArVqxgxowZOJ1OjjnmGL788ss+C1BEJFI8Hg+WtZrGUU47U4plrSEvLy8aYYmIRI32g9FVX1/PVVddxVVXXUV9fX2swxGb6frz6AH0eU1UPb6P+WGHHcbFF19MXl4eEydO5B//+AfHHnss69at46yzzmLr1q19HWuf0W1aRLrPGMPu3bsBSE5OToif4AWDQUaNGk1l5eQORj8FaMDhmElGxhqNbipxyY45z44x9VfaD0ZXot56VPpG15/HIDAaOBbwtTMf9Hm1n3BzXo/PmF933XVceeWV7LvvvkyaNIljjz0WaDx7fsQRR/R0sSJiU4l4XZzL5cLrXQwsx+GYSdtvoEubpi/H612s5CYiCUf7wehKSUnhyiuv5Morr0yYW49K3+n68/glsD/wLA7HjHbm6/Maz3p8xhxg69atbNmyhcMPPxyns7HGf+uttxg6dCgHHXRQnwXZ1+z0TX0wGKSoqAi/3095eSXZ2Rl4PB4KCgpwuVxdzo/WMnrbj754DZHe6Gz7W7FiBYWFswkEynA6J2NZuTidm7CsNWRm5uD1Lsbtdse6CyI9Yqec18yOMfV3JSUlYe0HlctFIn/s3dVxyZw5l3HvvQ/ouCVOhJvzelWYxyu7HBC0ToJTWnyoVrfzoWs73+tdjDEm4svo6sPdVT/64jUk9urr65k/fz4At9xyC6mpqTGOKHzhbKNTp06luLgYn89HRUUlWVkZ5OXlkZ+fr4NNiWt2yXkt2TEmaSwUOtsPhrMvVS6XRBeN4/dwjku6+ryKfYSd80wvvPrqq2bWrFnmmGOOMV9//bUxxpjHHnvMvPbaa71ZbMRVVVUZwFRVVcUshmXLlhmHw2kcjnMMlBowLR6lBo424DAOx/R25zc+zxHxZTgc5xiHw2mWLVvWo370xWuIPdTU1BjAAKampibW4YQtnG1U258kMjvkvD3ZMSbpnPalfcOyLFNfX2/q6+uNZVmxDke6KRrH7/osJZ5wc16Pz5g/88wzXHjhhcyaNYslS5bw8ccfs99++3Hvvffy7LPP8vzzz/dksVER62/q+2Zghx1ADjC1gzZ9sQzobACJ8AaM6d1riH3E4xlzDWokEvuc1x47xiQd076072jwt/gVneN30Gcp8UR88Lebb76Z+++/n4ceeqjV4BXHHXccb7/9dk8X2y8UFRURCJRhzELa/0AWAWXA7R3MB1hK4w6gozZ9sQyAJIy5jUCgjOLi4m72o/evIfaRmprKokWLWLRoUVwU5RDuNqrtT0SkM9qXikTr+B30Weq/elyYl5aWcsIJJ7SZPnToUCorK3sTU8Lz+/04nVOAcR21ADqbH06bvlhGs/E4nZPx+Xytn91lP3r/GiK9Ed42Ctr+REQ6pn1p3xk4cCCBQIBAIMDAgQNjHY50Q3SO35vps9Qf9bgwHzlyJJ999lmb6atXr2a//fbrVVCJrry8EsvK7aRFJdDZ/HDa9MUyvmNZuVRUVLaa1nU/ev8aYh/GGHbt2sWuXbvo4RUwURfeNtpI25+ISPu0L+07DoeDjIwMMjIyEubWo/1FdI7fv6PPUv/T48L8sssu44orruBf//oXDoeDzZs388QTT3DllVcyZ86cvowx4WRnZ+B0buqkRQbQ2fxw2vTFMr7jdG4iKyuj1bSu+9H71xD72LlzJ6mpqaSmprJz585YhxOW8LbRRtr+RETap32pSLSO37+jz1L/0+PC/Oqrr8bj8XDyySdTU1PDCSecwMUXX8xll13G3Llz+zLGhOPxeLCs1cD6jloAnc0Pp01fLKNZKZa1hry8vNbP7rIfvX8Nkd4IbxsFbX8iIh3TvrTv1NfXc8MNN3DDDTdQX18f63CkG6Jz/N5Mn6X+qNf3Md+5cycff/wxlmVxyCGHMHjwYDZt2kRubng/04iFWI8Gq1HZw38NsQ9jDFVVVQCkp6fHxU/wNJKwSOxzXnvsGJN0TPvSvqNR2eOXRmWXnor4qOzNBg4cyJFHHsnRRx9NTU0Nv/zlLznggAN6u9iE5nK58HoXA8txOGbS9luzL4H9gWdxOGa0M78Uh2MWUIfD8VwEl1HaNH05Xu/iNjuGrvvR+9cQ+4jH6+LC20a1/YmIdEb70r6TnJzMnDlzmDNnDsnJybEOR7ohOsfv+iz1a929QXogEDAXXHCBycnJMSNHjjR/+ctfTENDg/njH/9oBgwYYI488kjz5JNPdv/O61EU7k3eI23ZsmUmMzPHAMbpnGzg3KZ/MZmZOWb+/Pmdzi8pKYnKMkpKSnrVj754DZHe0PYn/Zldcl5LdoxJuqZ9qUh0jt/1WUos4ea8bv+Ufc6cOSxfvpzzzjuPf/zjH3zyySecccYZBINBrr/+ek488cTefE8QFXb6CV0wGKS4uBifz0dFRSVZWRnk5eWRn5+Py+Xqcn40l1FUVITf76e8vJLs7Aw8Hg8FBQVRe43mZXQVR1fLkJ6pr6/n1ltvBeD3v/+97e5l3hfbqEgislPOa2bHmCQ8fZHLRSIlWseS0Tj2lsQRds7rbsW/zz77mJUrVxpjjPn888+Nw+EwV1xxRQ++O+iZ66+/3gCtHsOHD+/WMvRNffe0/lZvioHzmv7tu2/1wnmNrtq0/oYyMnH2ZzU1NaHPXE1NTazDaSUa26hIvLJjzrNjTNJ72hdLLOlYUuwq3JzX7cI8OTnZbNq0KfT3gAEDzAcffND9CHvo+uuvNxMmTDBbtmwJPbZt29atZeiAIHzLli0zDofTOBznGCg1YFo8So3DcY5xOJxm2bJlEX0NcHTaBo5uajM9YnH2d8Fg0MyZM8fMmTPHBIPBWIcTEo1tVCSe2THn2TEm6R3ti8NTU1NjkpOTTXJysu2+5I5nOpYUO4vYT9mTkpLYunUre+21FwBDhgzh/fffZ+zYsd1ZTI/dcMMN+P1+3n333R4vQz+hC080RmHtm5HdwxkFUyNcJiKNFCzSNTvmPDvGJD2nfXH4NCp739OxpNhdxEZlN8ZQWFjIjBkzmDFjBsFgkJ///Oehv5sfkfTpp58yatQoxo4dy/nnn89///vfiL5ef1VUVEQgUIYxC2l/BwWQhDG3EQiUUVxcHKHXWErjDvP2DtoUAWWdzO99nGJP0dhGRUSkc9oXh2/AgAF8/fXXfP311wwYMCDW4SQEHUtKouh2YX7RRRcxbNgw0tPTSU9P58c//jGjRo0K/d38iJRJkybx2GOP8eKLL/LQQw+xdetWjjvuOMrLyzt8Tl1dHdXV1a0e0jW/34/TOQUY10XL8Tidk/H5fBF6DT/QWZuu5jfreZxiT9HYRkWk95SHE5v2xeFzOp3k5uaSm5uL09nruxYLOpaUxNHtGyg+8sgjkYgjbNOmTQv9/9BDD+XYY49l//33x+v1Mm/evHafs2DBAm688cZohZgwyssrsazcsNpaVi4VFWUReo1KoLM2Xc3/Tk/jlMaf32VkZABQWVlpi5/fRWMbFZHeUx5ObNoXSyzpWFISRdx/VTdo0CAOPfRQPv300w7bXHvttVRVVYUeGzdujGKE8Ss7OwOnc1NYbZ3OTWRlZUToNTKAztp0Nf87PY1TGu3evZvdu3fHOoyQaGyjItJ7ysOJTfvi8NXX17No0SIWLVpEfX19rMNJCDqWlEQR94V5XV0dn3zyCSNHjuywTVpaGkOHDm31kK55PB4sazWwvouWpVjWGvLy8iL0Gh6gszZdzW/W8zjFntfFRWMbFZHeUx5ObNoXh2/Xrl1cffXVXH311ezatSvW4SQEHUtKouj2qOyxduWVV+J2u9lnn33Ytm0bN998M6tWreKDDz5gzJgxYS1Do8GGR6Oyi91pJGCRrtkx59kxJuk57YvDV1dXx2WXXQbAAw88QFpaWowjin86lhS7i9io7LH29ddf86Mf/Yjx48czY8YMUlNTefPNN8MuyiV8LpcLr3cxsByHYyZtv0UsbZq+HK93cY92UOG9xiygDofjuQ7afAnsDzyLwzEjInGKTezxM/pobKMiItI57YvDl5aWxqOPPsqjjz6qoryP6FhSEkXcnTHvC/qmvntKSkooLJxNIFCG0zkZy8rF6dyEZa0hMzMHr3cxbrc74q/ReKu+jtvMmXMZ9977QJdxBoNBioqK8Pv9lJdXkp2dgcfjoaCgAJfL1ev5QFht4k19fT1/+ctfALjiiitITU2N2ms3v58Tr7wS6up54vtHcPhPfxp6P6OxjYrEKzvmPDvGJL0X7r44EXOkREdn286KFSuidiwp0h3h5jwV5jogCEswGKS4uBifz0dFRSVZWRnk5eWRn5/fZ0k0nNfoqk1X81sfNExpscNd3c4OeQrGGsX+js8ZbdYxZtAQzjj9NIpX/h+lNdV84TiWGrNPq+e33em3fY143anv2LGDwYMHA1BTUxO1Udmb11lyoIwtNP647EDHD/jMrGtzoBfpbVQkHtkx59kxJukbvc3D8ZojJfLC2XamTp0a8WNJke5SYd4JHRD0TyUlJXg8eYAbYxbS+l6V64ELgbUMYhrncDIFrOYEXiWLQLvL200S7/I9VnEixRzNv3gSw3IcDkeHr+FwXA0sx+/3MX369Mh0NEJicV1cy3X2c3M493ITb3EUk3iLeH8/RaLFjjnPjjFJ5HWVh/vDPn3Hjh3k5jbelmvTpk22uPVoPNC2I/FMhXkndEDQ/3Q9MEiQdHKZRzZzKWtVjNfi4gvG8C2f00A62Yxib75uU7BvYAz3sYkHOY0qnm3nNUADh4Rvz3W2ipM5gdeYxx38mXlNrfR+inTFjjnPjjFJZGmAuEax+vVZPNO2I/EuYQd/E+mJoqIiAoGypm9Z99yhGy7iV6ynguv4lCwCfM5+3Mh1HMVbDKWaQ5jPiezmFF7ncN4nmwpG8xXn83ceZxbbGcxYvmQhu9nIq/wP1zOE6nYiScKY2wgEyiguLo5Cz+NXy3WWyxZO4DUA/pdzW7TS+ykiEg86z8PNEn+fPmDAANavX8/69ettc+tRu9O2I/2FCnPpF/x+P07nFFr/9AkyqeAZZvIoDzEM+ISDmEkx41jPDdzIvzmK3aQAfqD1879mNE9zPhfyOMP5hp/xfT5kIEPYyR+4hc/Zn0t5AAfWHtGMx+mcjM/ni2if413LdXYu/wvAa0xhE3vv0VLvp4iI3XWUh9tK7H260+nkwAMP5MADD8Tp1GF4OLTtSH+hPYL0C+XllVhWbqtp4/kP/+ZIZuCjHgfXcBiH8x5LmYnV5hvZSiCXjtQykEfI4FDOJo+llDKOvSjjAX7Oy5zMOEpbtbesXCoqKvukb9GyY8cOMjIyyMjIYMeOHRF/vZbr7DyeBuApzm+3bTy+nyIi/Ul7ebgj2qdLS9p2pL9QYS79QnZ2Bk7nptDfJ7CK1zmO/djAfxnLMZzEQoayi45uAZYBbOpgXss2m/GTx0Q+5AruooZBnMirvMfh/Jo/A41DOjidm8jKyuhtt6KuqqqKqqqqqLxW8zrbn8+YxFs04KSY/Hbbxuv7KSLSX+yZhzuTyPv0Xbt2cc8993DPPfewa9euWIcTF9rbdtIIksvXbdom8rYjiU+FufQLHo8Hy1pN4+jrkE8xWQR4g2OYxL94h58C381vZwldzG/dZjcp/JUrmMiH/IMzcFHHn5lHCdPJ4k0saw15eXl91b2oiPZ1cc3rrJA7AFjB6WxjeDstS+Py/RQR6U/2zMMdS+x9en19PXPnzmXu3LnU19fHOpy4sOe2M4k3eYcjWMoMktjdomVibzuS+DQqu0aD7Rf2HNEzCcNvuYO/8iuCDACCwGjgWMBHe6O2dz4fYAeQA0zdo43hF9zHnczDRR0bcfHTIWk8u22rRg3tRDAYZO+Re/NO5Q5GE+Rcnqao1cBvoFFYRbpmx5xnx5gkstobWXsCH/IREwBHU6vE36cHg0EuvPBCAJYsWZKQfexrzdtObeAYbuAgruROkrDYwghOZBWfMo7+sO1I/NKo7CItuFwuvN7FwHIcjpk08F8Wck1TUQ7wJbA/8CwOxwzafqPf1fxSHI5ZQB0Ox3M4HDNbtHFwH3M4hqf4D4MZTZAXgztxLV0akb4mCpfLxfLf/IrRBAmQQgkH79GitOl9Xo7Xu1hJWETExvbMw6fzN/7NkdzD5TRe5tU/9ukul4uioiKKiooSto99zeVysez31/A2z3INt5OExWNcyAQ+airK+8e2I4lPZ8z1TX2/UlJSQmHhbAKBMpzOyVhWLk7nJixrDZmZOcyZcxn33vtAj+d7vYsxxnT4GqMzsnhr3AGMeOstAJaOG8f/G5FLVk4mHo+HgoKCUEIJBoMUFRXh9/spL68kOzujTZto2rVrFw8++CAAl156KSkpKX227I76esGzz5L0v//Lw2kuLqkLdvieu93uPotFJNHYMefZMSaJjuY8fHagjEdpPEN0LyO4nK2hffrUqVNtlf+kb4RzXLNnm5EZQ5i/ezcTXngBh2Wx1eHgUmN4TscDEkfCzXkqzHVA0O8Eg0GKi4vx+XxUVFSSlZVBXl4e+fn5uFyuXs/v6jVW/OMffPajC5gXrAXgGfbmQsc+1JrXOyjup7RIPqtjlnx27NjB4MGDAaipqWHQoEF9stzWX5Z819ch1mq2AAOAutdeo+iLLzp9z0WkfXbMeXaMSaKnOUdW3nUXc9atwwmUnnYaY0pKWLFype3yn/ReR7m+5Xrd89jnBCuZB3mTAwkC8PVJJ5HzxBMUv/SSjgckroSd80w/VFVVZQBTVVUV61Ckn1m2bJlxOJzG4TjH/IjbTZBUY8C8wgkmnbXG4TjHgCPUBkoNmBaPUuNwnGMcDqdZtmxZVGOvra01+fn5Jj8/39TW1vbJMlu+H3v2dQ7XGQPmAzDL/P4+eT2R/siOOc+OMUmMLF5sjMNhDJjPzzrLOHDYLv/1pR07dphRo0aZUaNGmR07dsQ6nKjoLNc3r9eWxz4ZvGUe5OJQo40MN9M5Ou7XvfRf4eY8nTHXN/USJe0NfHMir7CMc0inmvc5lDNZyhYOpe0Aci0lxgAn7b0f3zF8xAQO4RN+xaE8nrklrvsqEkt2zHl2jEliaPFizMUX4zCGuxnLryjF0N7lUvGf/yL16zO76jzXN2sePPc0ZvAT7uZXjGQrAPfyC65lAdUMjvt1L/2XBn8TsZmioiICgTKMWUhzYlrFSZzAq2xhBIfxAa9zbNNPtm6n/eQFkIQxtxEIlFFcXByl6Ptee+9Hs5N4hUP4hBoG4WVx3PdVREQ68bOf8cbPfgbAXDbwKLNJpr17fMd//nO5XLzzzju88847/aK47CzXf2cpowiylCDPcC4j2conHMQUXuNy7qWadBJh3Yt0RYW5SJT4/X6czinAuFbT3+dwjuN11nMg+1LGq6RwSLsHJC2Nx+mcjM/ni1i8kdbR+wEwh3sBeJwfU82Rcd9XERHp3B2BAIWOA9lNEj9hCUuZwQB2ttMyvvNfUlIS3/ve9/je975HUlJHhWri6CzXAySxm7ncwcckkcc/2UUyN/FHjuAd1jBlj9bxve5FuqLCXCRKyssrsazcdud9wVimsJp3GcwIdvEKJ3E473a6PMvKpaKisu8D7cDOnTvJzc0lNzeXnTvbO1jqno7ej1FsIo/GpNt4G53o91VERKKrvLwSr/k+efioxYWbZ3mRM0insk1b5YT40dmxzyTeZC1H8f94j3QaeJNJfJ+3uZ6bqKP9XxNo3UsiU2EuEiXZ2Rk4nZs6nP8twziFk/g3g9mLMl7iFI5kbYftnc5NZGVlRCDS9hlj2Lx5M5s3b6Yvhqbo6P34OfeTTAOvcjwfcigQ/b6KiEh0NeeEZ3EzlZVUks7xrGYVJzKK1rkinnPCrl27ePTRR3n00UfZtaurX8fFv/ZyfTZlPMTFvMmxHMG7VJDCz9mfyawJ5f2OxPO6F+mKCnORKPF4PFjWamB9h20CnMup1PA6R5BFgH9yGsexpp2WpVjWGvLy8iIW7576+rq49t6PQdRwOfcA8BeuaJoa/b6KiEh0tcwJa5gSGn/lcN7nLY7m+6xrahnfOaG+vp6f/vSn/PSnP6W+vj7W4URcy/XqwOISHqSU8VzM3wBYzE8Zz595gM+x+LyLpcX3uhfpikZl12iwEiXdGZl0MCeznB2cxKvUMIizeZZVnNTUJv5HpYX2349f82f+zDzWcyAH8wkWJERfRWLJjjnPjjFJbLWXE8bwBc9yNhP5iJ0M4Mc8ht/xeFznhGAwyMyZMwF45pln4rIP3dG8XicEDuJOghzFvwF4j8OYw728zmS+G5U98e9II/2TRmUXsRmXy4XXuxhYjsMxk7ZnzktxOGYBdexwvMhZDOFFpjCYHTzPDzmVfza1mQksx+tdHNeJac/3I4UP+S13ALCQq7H4LGH6KiIinWsvR37JvhzH6zzPNAZSy1IK+L0pwfvIw3GbE1wuF8899xzPPfdc3PahO1xbtvDhIeN5jdUcxb+pZhBXcBc/YF1TUf7dsY/D8Vwnx0c6HpDEpzPm+qZeoqykpITCwtkEAmU4nZOxrFyczk1Y1hoyM3PwehdjjKGwcDY7A2UsJZMfEqAWJ3lYvNXUZurUqRQVFeH3+ykvryQ7OwOPx0NBQUEoaQWDwS7bhGvXrl088cQTAMyaNYuUlPbuMdtWVzE0vx/TA2U8CmzGxf6OIwiaN0Lvh9vt7lasIvIdO+Y8O8Yk9tBejkxxfM0i83roAiemTyf4wAMUrVzZJ/mtp8LJsX2Zh2Opu32t/aaMi7/dyjkbNpC0axfG6cSbnMo19UHKujj26ez4SMcDEo/CzXkqzHVAIDEQDAYpLi7G5/NRUVFJVlYGeXl55Ofnt0pwxcXFLC8u5ler1zC5vIyG5GQann6afyQnt0heU1okr9UdJLj223Qnwe3YsYPBgwcDUFNTw6BBg7p8TusDrI5jCG7fTv24cQzdupUH9tufFd87vM37ISI9Y8ecZ8eYxD46ypHnbd9Oym9+A3V1bHA6ybMsPuiD/NYT4eS3vs7DsdKdvlYHyviZ4wBuMl8zgiAArySnwB23c8yll4Z97NNZG5F4E3bOM/1QVVWVAUxVVVWsQxEJT12dMTNnGgOmITnZeHAYh+McA6UGTItHadN0h3E4nJ22cTicZtmyZWGHUFtba374wx+aH/7wh6a2trbL9suWLQs/hoceapyx117GVFf35p0SkT3YMefZMSaJD6/ccYf5b1My2UmauYz7DFi9ym/dFU5+6zgP7zAwxsAgA46IxtkXwu4rDpPPUeZj9gs1KOVA4+Ze42B6xNeJiJ2Fm/N0xlzf1Eu82LWLhgsuIKm4mF04uIC/U8x57TSM/SAq4Q101xjD8PTVbB7kwrFpE/z5z/DrX/dpLCL9nR1znh1jEvtrzi2OwFE8BpzFCwCU4GY2f6OMvbBHfussD+8ABjf9/ywyM/9l28HMwutrDVPJ4lYGciRVAJSTxc38gXu4nF2kooHbpL/T4G8iiSYlhb+fdRZLgBQMf2cW5/P3dhouBYLA7bSfRAGSMOY2AoEyiouL+zzUoqIiAoEyjFnYZQznV5Y3FuV77w0//3mfxyIiIomhObdUcBdunuU33EkdqUxnOR9wKNN4Hnvkt87ysAtY3fRYGLE4+0JXfT2GN3iJo1nBLo6kiu0M5kauYywbuIvfNBXlEOl1IpIoVJiLxBHf8uX8zDGZRygkmQYe58dcyGN7tPIDU4BxXSxtPE7nZHw+X5/H6ff7cTq7jiGTvZhPcuMf118P+hZdREQ60DK3GJzcxW84mrf4kAmM4Bue5ywe5SKyyIlxfvPTcR5OAiY3PQ6JWJx9of2+Gk7kFVZyGm9wHCfzCXU4+DO/Zn8+5wZuZDvtnRGM3DGHSKJQYS4SR8rLK9lt9mY2f+NBLiEJi0cp5KcsbtGqEsgNa3mWlUtFRWVYbXfu3MmBBx7IgQceyM6dO7uM07K6juF/+CM57OaLgYPgoovCikNERPqn9nLL+xzOkfybO/kNFg4u4jE+4WDOtRqoKA9EJYa2KolEHo621n01nM6LvMoJvMLJnMb/sYtkHmYkB3IW8/gz3zKs0+XZua8idqDCXCSOZGdn4HRuwuDk59zPPczBiWExs7mUB5paZQCbwlqe07mJrKyMsNoaY/jss8/47LPP6GpoiuY4O/M93uHn3A/A4h98H8K8/ZqIiPRPHeWWOlz8ljs5jtf5kAkM41v+zpv8+ZOP4OOPoxJDaxl0nId3A0VNj93dysPRlp2dQbLja/JYylsczYucyfGspo5U7mEOB/AZl3AsG6kMa3l27quIHagwF4kjHo8Hy1oNrMfgZC53c1fTnV0f4Odczt2Ah8Zr19Z3sbRSLGsNeXl5Yb22y+Vi9erVrF69usuBW1rG2R4HFnczlyQs/g6Mu/TSsGIQEZH+q6vc8i+O4fu8zR/5FXXA97Ztg8MOgyuugEDfnD3vKoamVnSch+uAc5seH3QrD0dVdTW/c7koNWtYykyO4t/sZAB38hvGsoG53MNXjCFSxxwi/ZFGZddosBJH2h8h1XAb13A1iwD4LbdyJzdh51HZf8lf+StXUEMSx6QP5d9bN2uUVpEIsWPOs2NMYn/duePHEUNe5a0TJpP07LONk7Oy4NprYc4cGDgwwjF0Nip7LTANMMBQMjPftNdI5Rs2wN13w8MPQ3U1AOWkcB9X8hd+0zTyfUuxvxOMiN1pVHaRBORyufB6FwPLcThm0vgNtYNruI2bmQ/AHfye2wji5NkWbVoqbZq+HK93cUQSZPtxNhpHKbdxNQDXYLFgiVdJWkREutRZbmn0XX674XEvScuXw8qVMGECVFTAVVfB/vs3Fp51dRGMYRZQh8PxXDttBgAP4HBk4nA8H7E83C27dsEzz8AZZzS+P3fe2ViUH3QQ78+Zwz7s5jrHx5Sx568Ouuprc5vIHnOIJAqdMdc39RKHSkpKKCycTSBQhtM5GcvKxen4mqvN6yxoavP1CSfwg/c/Yltl+XdtnJuwrDVkZubg9S7G7XaH/Zq7d+8Ojaaal5dHcnJyt+N0WCNZzT84hhpeTk6h5pli3NOn9+QtEJEw2THn2TEmiR/t5sA98tvUqVMpKirC7/dTWVZB3o7tFH75JYPLyhoXMmpU40/cL70UMjLafZ1gMBhaRnl5JdnZGXg8HgoKClixYkWXMRhjuhXnnq/RXMR2FofL5erx/HO//33SnngCFi+Gb74J9futzCxWHHwQYy69lILzzuuzvnbnmEMkkYSb81SY64BA4lQwGKS4uBifz0dFRSVZWRnk5eVxbjBI6i9+Abt303DyyRSffz7/++KLrdrk5+d3+1vrHTt2MHjwYABqamoYNGhQt+MsWPtvzt/4FfUDB2K99x6uAw7odr9FpHvsmPPsGJPEl45yYH5+/h6F5JRQkZhkrWbuwEHcMsDFgPLyxgUNGQKXXNL4E/f99w8tv3XxP6VFobm6VVHdUQwti+ruxtnyNVoXvG3bzJlzGffe+0DY8/eysjjf8QE/MhuY1OL9/Mbh4G/GsNhxJJ+b/fu8rzpTLv2ZCvNO6IBAEt6KFTBzJtTUNP6Ez++HXhbBtbW1TJs2DYAXXniBAQMGdG8BTz8N55/f+P///V8oKOhVPCISHjvmPDvGJImhpKQEjycPcGPMQlrfg3s9DsfVpJgS3rziVxzxf/8HH3743exTToFLLuHZlBSmF5zb6TJgOX6/j+nd/NVXbW0txx57LNXV1WzY8AUOx/QOX8OYEhwOR4dxwIXAWhwON8Ys6nD+CKZyFidwLqs4lf8jCQuA3ThYieFhHCznbHZxe5/2VUQaqTDvhA4IpF945x046yzYsqXxZ3pPPdV4/VgsvPsuTJ4MO3fCNdfAn/4UmzhE+iE75jw7xiTxrzuDw2VkrGHzpq9wvfIK/PWv8OKL0HRIHHA4WGpG8zT38xJTaWDPS7d6PphZy1+fwVnAsg7i7GpQtSAwGji2nfmGCbzNdE5gOqkcs8ftzN7gGJ5gFkX8kG1M6OQ1etdXEWmkwd9E+rsjjoB//xuOOQYqK+GHP4TbbgPLim4cn30GZ57ZWJSffjrcckt0X19ERPqFoqIiAoGyprPL7RWZAEkYcxuBQBnFzzwD06bBCy80jkb+xz+yIzOTTGOYzVes4IdsYSSL+Snn8jSZVLRdRnFxt2J0uVxcffXVTX8t6iTOpTQW37d30KYIKAvN34cvuYhHeZSL+JIxfMiR3MrOUFH+Fkcxn5vZj885jje4h7lsY00Xr9G7vopI96gwF0lko0bBK6/A7NmNBfnvftd4ELJlS3Ref8MGmDq1cVCZww5rPGuf1FHyFxER6Tm/34/TOYXWP8duz3iczsmhAU0BGDMGbrqJwpNO4lTHRO7j53xLDntRxk95lKc5n2/Zizc4hoVchYePGek4qvUywpCUlMRnn33WFOfBnfUGaL8vA9nBZB7mN4zl71zH5+zHl+zLo/yUi3iMfdhILU6Wk8klPMhINjOJt7iV+Wxgv7Beo7V23i8R6XNdD6ssIvEtLQ0eegiOPrpxBNoVK+DQQ+HBB2HGjLAX03xdHMAbb7zR9TXmH33UeIZ88+bGAXVefBEyM3vTExERSTA7duwAYODAgU3XU0N9fT27du0iOTmZtLS0Nm0HDBiA09l4bmnXrl3U19eTlJREeXkllpXb3Lrp3wF8dx5qF1APJGFZuVRUNI7QvnPnTowxuFwuvq2oYpWZwEv8P+byJ6bwOmfzEtN4gYl8xGH8i0P5F/OAJAPbnnuf3WeeSd3BB+OcMIEBBx0E++wDo0ZRu2sXlmWRlpYWupNJQ0MD27aVY1nD93gnagELSAOSSaWCUQxlFC+yHxuYyAYO5hMO5hNG8TlgSAVS2ABAHU7W8ANe5URWcwavczO1jKDxOvOGpr6nNL2W1fR65UBuixjqgN1N7VJbtbWs4VRUVH7Xsq6O3bt3k5KSQmpqY1tjDDt37uxwfXanbTjrXiTRaMsW6Q8cjsZbwrz9Nnzve1Be3jg43PTp8OWXYS3Csizee+893nvvPayufg7v98OxxzYW5RMmwKuvwogRve6GiIgklsGDBzN48GDKmm9jBixatIjBgwczd+7cVm2HDRvG4MGD+eqrr0LT7rnnHgYPHszs2bPJzs7A6dzUNGdfYDDwSYslPNo07Xyczk1kZWUAcMghhzB48GDefvvtFst4GosMXuVOrmYRh/Iho/mKUYxiMPAoY7GAYXV1PPviiwy+6y5Ou+QSOP74xrPvaWmckJ7O4MGDefH73wePBy66iJVuN6tXryIbH3/l59zPZTzBBUxkb2AwC9mfbxhGHa/wOM/zOmfyJr/gGhYyneUcyGeci2EwMI9B/J5bmMoKsljFqazlRp7k/ziNWrKBTTQW5oOBB1u8D583TXu9qU2zy5qm/6XFtC1N03yh9wtg3rx5DB48mFtvvTU0raqqKrQ+d+/eHZo+f/58Bg8ezPz580PTdu/eHWpbVVUVmn7rrbcyePBg5s2b12rdZ2RkMHjwYLZE6xd/IjGgwlykPzn4YHjzTfj97yElBZYvb5x2/fXQIjG2x+VysWLFClasWNHx4C81NfCrX0FeHmzf3niAsmpV40/qRUREIsjj8WBZq2kckbwzNVjWGvLy8jpZRtsC8GtGU0UGABdzA5nAi3/8I1x2WWODoUNhv/0a86tlwa5djdM/+ACWLYPHHqP+hRcAKMfiZzzAZTzIBfyd7Kbr1/flK4bxLdB4/hqglgHczeVczt2cwv/xT04F4G52sIB8/slUdtI8oFyoJ8BqYHsn70NKU5uu3i8A0+77JSJ9R6OyazRY6a8++QR+8YvGwhkaR27/1a8az6zn5nb61DYaGuDxx+G666D5TMYVV8CiRY0HKCISM3bMeXaMSWKjL3/KDrQYlf0xGgc02/On7LXALDIz3wyNMt7yp+y7du1i1KjRBALHAo/TWLy2vHRrJ40/976QzMzX2bx5I8nJydTV1eF0Ohsv87Is+OYbaj/9FKu8nLSdO0muqYGqKmoqKznhkUf45ptvKDQH4GQW20mnAhfVDKaGbL5lFF+TSQUHAqcCTwNDWsQQpPGn+uOB42gcUb15ugMYyHejth8N/L2pD3v+lH0HMIbvRmXfTdufsu8C8sjIeJMtW74OfTGvn7KLhC/snGf6oaqqKgOYqqqqWIciMVZTU2NqamqMZVmhaXV1daampsYEg8F22zY0NISm1dfXm5qaGlNbW9vjtjt27DA1NTVm9+7doWm7du0yNTU1ZufOnT1uu3PnTlNTU2N27doVmrZ79+7WbS3LmKIis/Ogg0wNmF1gTFKSMWefbXY/+KCp+ewzs2PHjlbLra2tNTU1Naa+rs6YDz805n/+x+zeZx9TA2YHGDNmjDErVrRuW18fen5DQ0Po/WkpGAyampoaU1dX12VbEQmfHXOeHWOSxFBSUmIcDqdxOM4xUGoa74HW/PiPcTjOMQ6H05SUlER0GX0RJzg6bQOTmtpM79H8cF6jL/oq0t+Fm/NUmEu/BhjAbNu2LTTt5ptvNoC5+OKLW7UdOHCgAcyGDRtC0/785z8bwFxwwQWt2ubk5BjAfPjhh6FpDz74oAHMOeec06rtmDFjDGDeeuut0LTHH3/cAOa0005r1faQQw4xgHn55ZdD03w+nwHMcccd16rtkUceaQDz7LPPhqatWLHCAObwww9v1fbEE04wgPnfgw8OZeTVTe/NAUlJxkydanadd5559owzzJFZWQYwjwwZEmr7TlPbUUOHGtOikM/PzzeAufvuu0PT1q9fbwCTnp7eKoaLLrrIAGbhwoWhaV9//bUBTHJyshGRnrFjzrNjTJI4li1bZjIzG/Ow0znZwLlN/2IyM3PCKjL7Yhl98RpdtZk/f36v5ofzGirKRXon3JynUdlF+rFgMEhRUREfffwxALcPGULaggVMq62Fp5+G0tLGn6mvXEkdcHbLJ2/fDmlpNJxwAu8OGQJLl1IWDDLzwgvxeDwUFBTEoksiItLPTZ8+nc2bN1JcXIzP56OiooysrOHk5S0hPz8fl8sVyn9+v5/y8kqyszNCucvlcoW1jGjECXTZ5g9/+EOv5ofzGiISebrGXNe29Wt9eW1by8TVnbYtr21rvkZu9+7dra9X60Hb2tradm/TEgwGcTqdrFy5ksLC2QQCZTgcx2LMKByOrRizhszMHH7+80vw3vsAuVUVHOo4kIFmAEv5D7up54eugfzkxuvZMXYsP7lsTqtlOJ3fYFmryczM4aGH7ufMM88kNTWVlKZrzS3Lora2FoBBgwaF4m3verWO2opI+OyY8+wYk/QfJSUlofzndE7BsnJxOjeFcpfXuxi32x2R166treW0004D4J///GfXtx4VkbgXbs6L28L83nvvZdGiRWzZsoUJEyZw1113cfzxx4f1XB0QSH9XUlKCx5MHuDFmITCuxdz1NN5eZS0OhxtjFrWZ73BcjTElTV9mtL8Mh+NqYDl+v4/p06dHuEci0hE75jw7xiT9Q1f5L9K5a8eOHQwe3DiCek1Njb50FukHErowf/rpp7nwwgu59957mTx5Mg888AAPP/wwH3/8Mfvss0+Xz9cBgfRnwWCwxai1z9A4am2rFjSO5HosjaO07jkfGkdyzeG7kVzba9OAwzGTjIw1oZFvRST67Jjz7BiTJL6u8x9EOnft3r2bZ599FoCzzz479Is2EUlc4ea8uLzfwJ133sns2bO5+OKLOfjgg7nrrrsYPXo09913X6xDE7G9oqIiAoGypjMF7R2UFAFlwO0dzAdYSmMB31mbJIy5jUCgjOLi4t6GLSIi0itd5z+IdO5KTk7G4/Hg8XhUlItIK3FXmNfX17Nu3TpOP/30VtNPP/10Xn/99XafU1dXR3V1dauHSH/l9/txOqfQ+ud7rVoA7c2vBSY3PZ7poM2exuN0Tsbn83XRTkQSmfKw2EHX+a+ZcpeIRF/cFeZlZWU0NDQwfPjwVtOHDx/O1q1b233OggULSE9PDz1Gjx4djVBFbKm8vBLLyu2kRSXQ3nwLeL3p0VGbdp5l5VJRUdmtGEUksSgPix10nf++E6nc1dDQwCuvvMIrr7xCQ0NDny9fROJX3BXmzZpH0G5mjGkzrdm1115LVVVV6LFx48ZohChiS9nZGTidmzppkQG0Nz+NxuvJfUBmB23acjo3kZWV0b0gRSShKA+LHXSd/74TqdwVDAY5+eSTOfnkkwkGg32+fBGJX3FXmOfk5JCUlNTm7Pi2bdvanEVvlpaWxtChQ1s9RPorj8eDZa2mcfT1dlsA7c1PbprnAWZ00GZPpVjWGvLy8noarogkAOVhsYOu81+zyOUuh8PBIYccwiGHHNLhCSUR6Z/irjBPTU3lBz/4AStXrmw1feXKlRx33HExikokfhQUFJCZmdN0S5j2fkZXQOOI61d2MB8aC3NXF20acDiuITMzh/z8/N6GLSIi0itd5z+IdO4aOHAgH330ER999BEDBw7s8+WLSPyKu8IcYN68eTz88MMsXryYTz75hN/85jd89dVX/PznP491aCK253K58HoXA8txOGbS9szBl8D+wLM4HDNazG8AXgEeAy4A6nA4nutgGaVN05fj9S7WrdJERCTmus5/yl0iEjtxeZ+G8847j/Lycm666Sa2bNnCxIkTef755xkzZkysQxOJC263G7/fR2HhbAKBxtFnLSsXp3MTlrWGzMwc5sz5Pffe+0CL+cNpvE0aZGRk89hjyzDGdLiMjIwcvF4/brc7tp0VERFp0lX+U+4SkVhxGGNMrIOItnBv8i6S6ILBIMXFxfh8PioqKsnKyiAvL4/8/HxcLler+d9+W867777N0KFDef/998nKygprGSISW3bMeXaMSfqXWOWu2tpapk+fDkBJSQkDBgyI2GuJiD2Em/NUmOuAQEREEpgdc54dYxKJhh07djB48GAAampqGDRoUIwjEpFICzfnxeVP2UVERERE4k1aWhqPP/546P8iIs1UmIuIiIiIREFycjKzZs2KdRgiYkNxOSq7iERfbW0tU6dOZerUqdTW1sY6HBERERGRhKEz5iISFsuy+Oc//xn6v4iIiHRPQ0MDb7/9NgDf//73SUpKinFEImIXKsxFJCy6Lk5ERKR3gsEgRx99NKDB30SkNRXmIhIWXRcnIiLSOw6HgzFjxoT+LyLSTIW5iIiIiEgUDBw4kC+++CLWYYiIDakwF5Gw6Lo4EREREZHIUGEuImHRdXEiIiIiIpGhwlxEwqLr4kRERHonGAxy/vnnA/DUU0/hcrliHJGI2IUKcxEJi66LExER6Z2GhgaWLVsW+r+ISDMV5iIiIiIiUZCamsqDDz4Y+r+ISDMV5iIiIiIiUZCSksIll1wS6zBExIacsQ5AROJDMBjE4/Hg8XgIBoOxDkdEREREJGHojLmIhEXXxYmIiPSOZVl88sknABx88ME4nTpHJiKNVJiLSFh0XZyIiEjv1NbWMnHiREC3HhWR1lSYi0hYdF2ciIhI7+Xk5MQ6BBGxIRXmIiIiIiJRMGjQIL799ttYhyEiNqTCXETCouviREREREQiQ4W5iIRF18WJiIiIiESGCnMRCZuuixMREem5YDDI7NmzAfjb3/6Gy+WKcUQiYhcqzEUkLLouTkREpHcaGhp48sknAUJ3OhERARXmIiIiIiJRkZqayp///OfQ/0VEmqkwFxERERGJgpSUFH7961/HOgwRsSENqywiYQkGg8yaNYtZs2YRDAZjHY6IiIiISMJQYS4iYWm+Lu7JJ5+koaEh1uGIiIjEHcuy+OKLL/jiiy+wLCvW4YiIjein7CISFl0XJyIi0ju1tbWMHTsW0K1HRaQ1FeYiEhZdFyciItJ7AwcOjHUIImJDKsxFRERERKJg0KBB7NixI9ZhiIgNqTAXkbBYlsVXX30FwD777IPTqSEqRERERET6ggpzEQmLrosTEREREYkMnfISkbANHDhQ18aJiIj0UF1dHZdccgmXXHIJdXV1sQ5HRGxEZ8xFJCy6Lk5ERKR3du/ezcMPPwzAXXfdRVpaWowjEhG7UGEuIiIiIhIFKSkp3HzzzaH/i4g0U2EuIiIiIhIFqampzJ8/P9ZhiIgN6RpzEQmLrosTEREREYkMFeYiEpbm6+Iefvhhdu/eHetwRERE4o4xhm+//ZZvv/0WY0yswxERG9FP2UUkLLouTkREpHd27tzJsGHDAN16VERaU2EuImHRdXEiIiIiIpGhwlxEREREJAoGDRqkn7CLSLtUmItIWIwxlJWVAZCTk4PD4YhxRCIiIiIiiUGFuYiERdfFiYiIiIhEhkZlFxEREREREYkhnTEXkbDoujgRERERkciIuzPm++67Lw6Ho9Xjd7/7XazDEhEREREREemRuDxjftNNN3HJJZeE/h48eHAMoxERERERERHpubgszIcMGcKIESNiHYaIiIiIiIhIr8XdT9kBbrvtNrKzs/ne977HLbfcQn19faft6+rqqK6ubvUQERGR6FAeFhER6VzcFeZXXHEFTz31FC+//DJz587lrrvuYs6cOZ0+Z8GCBaSnp4ceo0ePjlK0IiIiojwsIiLSOYexwTDLN9xwAzfeeGOnbdauXcuRRx7ZZvozzzxDfn4+ZWVlZGdnt/vcuro66urqQn9XV1czevRoqqqqGDp0aO+CFxERsbHq6mrS09NjmvOUh0VEpL8KNw/b4hrzuXPncv7553faZt999213+jHHHAPAZ5991mFhnpaWRlpaWq9iFBERkZ5RHhYREemcLQrznJwccnJyevTcd955B4CRI0f2ZUgiIiIiIiIiUWGLwjxcb7zxBm+++SYnn3wy6enprF27lt/85jdMnz6dffbZJ9bhiYiIiIiIiHRbXBXmaWlpPP3009x4443U1dUxZswYLrnkEq6++upYhyYiIiIiIiLSI3FVmH//+9/nzTffjHUYIiIiIiIiIn0m7m6XJiIiIiIiIpJIVJiLiIiIiIiIxJAKcxEREREREZEYUmEuIiIiIiIiEkMqzEVERERERERiSIW5iIiIiIiISAzF1e3S+ooxBoDq6uoYRyIiIhJZzbmuOffZgfKwiIj0F+Hm4X5ZmG/fvh2A0aNHxzgSERGR6Ni+fTvp6emxDgNQHhYRkf6nqzzsMHb6Cj1KLMti8+bNDBkyBIfDEfbzqqurGT16NBs3bmTo0KERjDA21L/4pv7FN/Uvftm9b8YYtm/fzqhRo3A67XEFm/Jw+9S/+Kb+xTf1L77ZuX/h5uF+ecbc6XSy99579/j5Q4cOtd0K70vqX3xT/+Kb+he/7Nw3u5wpb6Y83Dn1L76pf/FN/Ytvdu1fOHnYHl+di4iIiIiIiPRTKsxFREREREREYkiFeTekpaVx/fXXk5aWFutQIkL9i2/qX3xT/+JXIvfNbhL9vVb/4pv6F9/Uv/iWCP3rl4O/iYiIiIiIiNiFzpiLiIiIiIiIxJAKcxEREREREZEYUmEuIiIiIiIiEkMqzEVERERERERiqN8X5jfccAMOh6PVY8SIEaH5xhhuuOEGRo0axYABAzjppJP46KOPWi2jrq6OX/7yl+Tk5DBo0CCmT5/O119/He2uAPDqq6/idrsZNWoUDocDv9/fan5f9ScQCHDhhReSnp5Oeno6F154IZWVlTsSyh4AAA4cSURBVBHuXdf9KywsbLM+jznmmFZt7Nq/BQsWcNRRRzFkyBCGDRuGx+OhtLS0VZt4Xn/h9C+e1999993HYYcdxtChQxk6dCjHHnssL7zwQmh+PK+7cPoXz+tuTwsWLMDhcPDrX/86NC3e15+dKQ/H17akPBy/6095OH7XXTj9i+d1155+mYtNP3f99debCRMmmC1btoQe27ZtC83/05/+ZIYMGWKeeeYZ88EHH5jzzjvPjBw50lRXV4fa/PznPze5ublm5cqV5u233zYnn3yyOfzww83u3buj3p/nn3/ezJ8/3zzzzDMGMD6fr9X8vurPmWeeaSZOnGhef/118/rrr5uJEyeas88+O+b9u+iii8yZZ57Zan2Wl5e3amPX/p1xxhnmkUceMR9++KF59913zVlnnWX22WcfU1NTE2oTz+svnP7F8/orKSkxzz33nCktLTWlpaXm97//vUlJSTEffvihMSa+1104/YvnddfSW2+9Zfbdd19z2GGHmSuuuCI0Pd7Xn50pD8fXtqQ8HL/rT3k4ftddOP2L53W3p/6ai1WYX3+9Ofzww9udZ1mWGTFihPnTn/4UmhYMBk16erq5//77jTHGVFZWmpSUFPPUU0+F2mzatMk4nU7zj3/8I6Kxd2XPhNlX/fn4448NYN58881QmzfeeMMA5j//+U+Ee/Wdjg4IzjnnnA6fE0/927ZtmwHMqlWrjDGJt/727J8xibX+jDEmMzPTPPzwwwm37po198+YxFh327dvNwceeKBZuXKlOfHEE0MHA4m6/uxCeTh+tyXl4fhef8rD8bvumiVaHjamf+fifv9TdoBPP/2UUaNGMXbsWM4//3z++9//ArBhwwa2bt3K6aefHmqblpbGiSeeyOuvvw7AunXr2LVrV6s2o0aNYuLEiaE2dtFX/XnjjTdIT09n0qRJoTbHHHMM6enptujzK6+8wrBhwxg3bhyXXHIJ27ZtC82Lp/5VVVUBkJWVBSTe+tuzf80SYf01NDTw1FNPsWPHDo499tiEW3d79q9ZvK+7yy+/nLPOOovTTjut1fREW392pDycWNtSvO8LmikPx+/6Ux6O33XXn3Nxckxf3QYmTZrEY489xrhx4/jmm2+4+eabOe644/joo4/YunUrAMOHD2/1nOHDh/Pll18CsHXrVlJTU8nMzGzTpvn5dtFX/dm6dSvDhg1rs/xhw4bFvM/Tpk2joKCAMWPGsGHDBv74xz9yyimnsG7dOtLS0uKmf8YY5s2bx5QpU5g4cWIoruZYW4rH9dde/yD+198HH3zAscceSzAYZPDgwfh8Pg455JDQjj7e111H/YP4X3dPPfUUb7/9NmvXrm0zL5E+e3akPJxY21K87wuaKQ/H5/pTHo7fdQfKxf2+MJ82bVro/4ceeijHHnss+++/P16vNzRggsPhaPUcY0ybaXsKp02s9EV/2mtvhz6fd955of9PnDiRI488kjFjxvDcc88xY8aMDp9nt/7NnTuX999/n9WrV7eZlwjrr6P+xfv6Gz9+PO+++y6VlZU888wzXHTRRaxatarDuOJt3XXUv0MOOSSu193GjRu54oorWLFiBS6Xq8N28b7+7Ep5OLG2pXjeF7SkPByf6095uFE8rjvlYo3K3sagQYM49NBD+fTTT0Ojwu757cm2bdtC39aMGDGC+vp6AoFAh23soq/6M2LECL755ps2y//2229t1+eRI0cyZswYPv30UyA++vfLX/6SkpISXn75Zfbee+/Q9ERZfx31rz3xtv5SU1M54IADOPLII1mwYAGHH344f/nLXxJm3XXUv/bE07pbt24d27Zt4wc/+AHJyckkJyezatUq/vrXv5KcnBx67Xhff/FCeTixtqV42hc0Ux7+TrytP+Xh78TbulMuVmHeRl1dHZ988gkjR45k7NixjBgxgpUrV4bm19fXs2rVKo477jgAfvCDH5CSktKqzZYtW/jwww9Dbeyir/pz7LHHUlVVxVtvvRVq869//Yuqqirb9bm8vJyNGzcycuRIwN79M8Ywd+5cli5dyksvvcTYsWNbzY/39ddV/9oTT+uvPcYY6urq4n7ddaS5f+2Jp3V36qmn8sEHH/Duu++GHkceeSSzZs3i3XffZb/99kvI9WdXysOJtS3F075AebiteFp/7VEejp91p1yMbpf229/+1rzyyivmv//9r3nzzTfN2WefbYYMGWK++OILY0zjsPzp6elm6dKl5oMPPjA/+tGP2h2Wf++99zb//Oc/zdtvv21OOeWUmN2mZfv27eadd94x77zzjgHMnXfead555x3z5Zdf9ml/zjzzTHPYYYeZN954w7zxxhvm0EMPjcptBjrr3/bt281vf/tb8/rrr5sNGzaYl19+2Rx77LEmNzc3Lvr3i1/8wqSnp5tXXnml1a0udu7cGWoTz+uvq/7F+/q79tprzauvvmo2bNhg3n//ffP73//eOJ1Os2LFCmNMfK+7rvoX7+uuPS1HgjUm/tefnSkPx9e2pDwcv+tPeTh+111X/Yv3ddeR/paL+31h3nz/u5SUFDNq1CgzY8YM89FHH4XmW5Zlrr/+ejNixAiTlpZmTjjhBPPBBx+0WkZtba2ZO3euycrKMgMGDDBnn322+eqrr6LdFWOMMS+//LIB2jwuuugiY0zf9ae8vNzMmjXLDBkyxAwZMsTMmjXLBAKBmPZv586d5vTTTzd77bWXSUlJMfvss4+56KKL2sRu1/611y/APPLII6E28bz+uupfvK+/n/3sZ2bMmDEmNTXV7LXXXubUU08NHQwYE9/rrqv+xfu6a8+eBwPxvv7sTHk4vrYl5eH4XX/Kw/G77rrqX7yvu470t1zsMMaYvj8PLyIiIiIiIiLh0DXmIiIiIiIiIjGkwlxEREREREQkhlSYi4iIiIiIiMSQCnMRERERERGRGFJhLiIiIiIiIhJDKsxFREREREREYkiFuYiIiIiIiEgMqTAXERERERERiSEV5iLSY6WlpYwYMYLt27cD8Oijj5KRkRH1OOrq6thnn31Yt25d1F9bREQkVpSHRRKHCnMRobCwEIfDgcPhICUlhf32248rr7ySHTt2dPq8+fPnc/nllzNkyJAoRdq+tLQ0rrzySq655pqYxiEiItITysMiosL8/7d3fyFNtmEcx38LB1vNWv/ILGkH0yyCMdOVIkFlTQSRYGrMk3lQRyYEqRB0togoEEr0WIgSi7IhhbIjR0iiphBlQTYs6Ez7a6SWHQiDvcs3X/vz7HXfz9nu+3r23PcOdu167ufeA0CSVFpaqjdv3mh8fFzBYFCtra06c+bMovGvX79WKBRSbW3tHx/bzMzMT2NqamoUiUT09OnTPz4eAAB+N/IwkNoozAFIWrjanZGRoaysLPn9ftXU1Kirq2vR+M7OTrlcLm3fvj2hr6urSzk5ObJYLDpy5IhevXoV63vx4oUqKiq0ZcsW2Ww2FRQUKBwOxx3vcDgUDAYVCAS0bt06nThxQjMzM6qrq9PWrVtlsVjkcDh04cKF2DEbN25UUVGRbty48esfBgAAfxl5GEhtFOYAfshqtWp2dnbR/r6+PuXn5ye0T09P6/z582pvb9eDBw/0/v17HT9+PNb/8eNHlZWVKRwO69GjR/J6vSovL9fExETc+1y6dEl79uzR0NCQzp07pytXrigUCqmzs1PPnj3TtWvX5HA44o7xeDyKRCK/NnEAAJIAeRhILWlGDwBA8hkYGND169d1+PDhRWOi0aj27t2b0D47O6uWlhbt27dPktTe3q5du3ZpYGBAHo9HLpdLLpcrFh8MBnXnzh2FQiHV1dXF2g8dOhR3C9/ExISys7NVXFwsk8mkHTt2JJx727Ztikajy5kyAABJgzwMpB5WzAFIkrq7u2Wz2WSxWFRYWKgDBw7o6tWri8Z//vxZFosloT0tLS3uCn5ubq7sdntsz9mnT5/U2Nio3bt3y263y2azaWxsLOFK/T9XAQKBgEZGRrRz507V19ert7c34dxWq1XT09P/ad4AACQD8jCQ2lgxByBJOnjwoNra2mQ2m5WZmSmz2fyv8Zs2bdLU1NQP+0wm06JtDQ0N6unp0eXLl+V0OmW1WuXz+RL+WGbNmjVxr/Py8vTy5Uvdv39f4XBYVVVVKikp0a1bt2Ixk5OT2rx585LmCwBAMiEPA6mNwhyApIUE7HQ6lxzvdrv15MmThPa5uTkNDg7K4/FIWnjG6tu3b5WbmytJikQiCgQCOnbsmKSFvW5Lve1t7dq1qq6uVnV1tXw+n0pLSzU5OakNGzZIkh4/fiy3273kOQAAkCzIw0Bq41Z2AMvi9XrV39+vr1+/xrWbzWadOnVKDx8+1PDwsGpra7V///7YDwSn06nbt29rZGREo6Oj8vv9+vbt20/P19zcrI6ODo2Njen58+e6efOmMjIyZLfbYzGRSERHjx79rfMEACAZkYeBlYXCHMCylJWVyWw2JzxiZfXq1WpqapLf71dhYaGsVqs6Ojpi/c3NzVq/fr2KiopUXl4ur9ervLy8n57PZrPp4sWLys/PV0FBgaLRqO7du6dVqxa+xvr7+/Xu3Tv5fL7fO1EAAJIQeRhYWUzz8/PzRg8CwP9Ta2ur7t69q56eHqOHosrKSrndbp09e9booQAA8FeQh4GVgz3mAJbt5MmTmpqa0ocPH5Senm7YOL58+SKXy6XTp08bNgYAAP428jCwcrBiDgAAAACAgdhjDgAAAACAgSjMAQAAAAAwEIU5AAAAAAAGojAHAAAAAMBAFOYAAAAAABiIwhwAAAAAAANRmAMAAAAAYCAKcwAAAAAADERhDgAAAACAgb4Dup6gevG9qxYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ptt.residualT_plot(Results = minimum, P_bar = P_bar, phases = phases)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6dc19789",
   "metadata": {},
   "source": [
    "Alternatively, we can extract the pressure of magma storage directly from the 'Results' output variable. Doing so reveals that 'Results' contains a variety of information. First, it contains arrays for the saturation temperature of the three phases (at each pressure). Second, the liquidus temperature and the melt H$_2$O content at the liquidus is also included. Third, the temperature residuals between the saturation points of the different phases are also stored in this output. Finally, if 'find_min = True' has been selected in the initial function, the 'Results' variable will also contain the minimum pressure determined by the spline-fit to the data."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f116e05",
   "metadata": {},
   "source": [
    "Examine the quartz saturation temperature (pressure is given by the variable P_bar):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "88c925fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  nan,   nan,   nan,   nan,   nan,   nan, 810. , 804. , 797.7,\n",
       "       793.1, 788. , 784.3, 780.1, 776.3, 773.8, 770.6, 767.6, 765.9,\n",
       "       763.4, 761.1, 758.9, 757.9, 756.1, 753.9, 752.7, 751.7, 749.8,\n",
       "       749.3, 749.3, 749.4, 749.5, 749.6, 749.7, 749.8, 750. , 750.1,\n",
       "       750.3, 750.5, 750.7, 750.8, 751. , 751.2, 751.4, 751.6, 751.7,\n",
       "       751.9, 752.1, 752.3, 752.4, 752.6, 752.7, 752.9, 753. , 753.1,\n",
       "       753.3, 753.4, 753.5, 753.6, 753.7, 753.8, 753.9, 754. , 754.1,\n",
       "       754.2])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "minimum['Output']['quartz1'].values"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71946e73",
   "metadata": {},
   "source": [
    "Examine the temperature residual between quartz and plagioclase saturation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "548c96ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([nan, nan, nan, nan, nan, nan, 24., 22., 21., 19., 18., 16., 15.,\n",
       "       14., 12., 11., 10.,  8.,  7.,  6.,  5.,  3.,  2.,  0.,  0.,  1.,\n",
       "        1.,  1.,  3.,  4.,  6.,  7.,  9., 10., 12., 14., 15., 16., 18.,\n",
       "       19., 20., 22., 23., nan, nan, nan, nan, nan, nan, nan, nan, nan,\n",
       "       nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "minimum['Output']['quartz1 - plagioclase1'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fc4d7e94",
   "metadata": {},
   "outputs": [],
   "source": [
    "print('Pressure of minimum residual: ' + str(round(minimum['CurveMin']['3 Phase Saturation']['P_min'],2)) + ' bars')\n",
    "print('Minimum temperature residual: ' + str(round(minimum['CurveMin']['3 Phase Saturation']['Res_min'], 2)) + ' $^o$C')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "421d51d2",
   "metadata": {},
   "source": [
    "## How does parallel processing affect calculation speeds?\n",
    "\n",
    "Here we run the same calculations but investigate how parallel processing might influence the speed of the calculations by running the calculation first with only 1 process in parallel, then increasing this number to 2, 4, and 8."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f3b2bc19",
   "metadata": {},
   "outputs": [],
   "source": [
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "d4049359",
   "metadata": {},
   "outputs": [],
   "source": [
    "P_bar = np.linspace(250, 5000, 64)\n",
    "phases = ['quartz1', 'plagioclase1', 'alkali-feldspar1']\n",
    "c = np.array([1, 2, 3, 4, 6, 8])\n",
    "t = np.zeros(len(c))\n",
    "for i in range(len(c)):\n",
    "    s = time.time()\n",
    "    Results = ptt.mineral_cosaturation(Model = \"MELTSv1.0.2\",\n",
    "                                    cores = c[i],\n",
    "                                    bulk= bulk,\n",
    "                                    H2O_Sat=True,\n",
    "                                    P_bar = P_bar,\n",
    "                                    T_initial_C=900,\n",
    "                                    T_maxdrop_C=25,\n",
    "                                    dt_C=1,\n",
    "                                    fO2_buffer=\"NNO\",\n",
    "                                    timeout = 200,\n",
    "                                    phases = phases)\n",
    "    \n",
    "    t[i] = time.time() - s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "db5470b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([37.09252   , 22.28453302, 20.35465813, 17.82389593, 18.2386713 ,\n",
       "       18.45382714])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "76c8a124",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4805253439761024"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t[3]/t[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "fa882994",
   "metadata": {},
   "outputs": [],
   "source": [
    "t_null = 32.6 # time taken to run these calculations in the main process (i.e., no child processes or parallization)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f4b0863b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([33.07583618, 23.79052997, 21.82468081, 20.55444407, 19.59500694,\n",
       "       18.49505687])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a2fc68e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# load in time constraints for when this code was run on different machines\n",
    "# lenovo P620\n",
    "t_P620_null = 68.05\n",
    "c_P620 = np.array([1,2,3,4,6,8,10,12,16,20,24,28,32])\n",
    "t_P620 = np.array([67.58162308, 46.56659913, 33.45296741, 31.14283967, 31.25809503,\n",
    "       33.38872027, 41.64300919, 38.08958292, 44.94679379, 48.21261454,\n",
    "       52.22937322, 52.43954849])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "2f764bad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 58.7222222222222, 'No. of Parallel Processes')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, a = plt.subplots(3,1, figsize = (4, 8), sharex = True)\n",
    "f.tight_layout()\n",
    "a[0].plot(c, t, 'ob', mec = 'k', label = \"multiprocessing\")\n",
    "a[0].plot(1, t_null, 'dr', mec = 'k', label = \"Main Process Only\")\n",
    "# a[0].plot(c, t_P620, 'or', mec = 'k', label = \"2022 Lenovo P620 - i9 12th gen\")\n",
    "a[0].set_ylabel('Time (secs)')\n",
    "a[0].legend()\n",
    "\n",
    "a[1].plot(c, 100*t/t_null, 'ob', mec = 'k', label = \"2022 MacBook Pro - M2\")\n",
    "a[1].plot(1, 100*t_null/t_null, 'dr', mec = 'k', label = \"2022 MacBook - Main Process Only\")\n",
    "# a[1].plot(c, 100*t_P620/t_P620[0], 'or', mec = 'k', label = \"2022 Lenovo P620 - i9 12th gen\")\n",
    "a[1].set_ylabel('Run time relative to 1 process \\n on each machine')\n",
    "\n",
    "a[2].plot(c, 100*t/t[0], 'ob', mec = 'k', label = \"2022 MacBook Pro M2\")\n",
    "# a[2].plot(c, 100*t_P620/t[0], 'or', mec = 'k', label = \"2022 Lenovo P620 - i9 12th gen\")\n",
    "a[2].set_ylabel('Run time relative to 1 process \\n on MacBook Pro')\n",
    "\n",
    "a[2].set_xlabel('No. of Parallel Processes')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "1e8b5818",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x350 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "ename": "",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31mThe Kernel crashed while executing code in the the current cell or a previous cell. Please review the code in the cell(s) to identify a possible cause of the failure. Click <a href='https://aka.ms/vscodeJupyterKernelCrash'>here</a> for more info. View Jupyter <a href='command:jupyter.viewOutput'>log</a> for further details."
     ]
    }
   ],
   "source": [
    "f, a = plt.subplots(1,3, figsize = (10,3.5))\n",
    "a[0].set_title('Saturation Temperatures')\n",
    "a[1].set_title('Temperature residuals')\n",
    "a[2].set_title('Calculation time')\n",
    "\n",
    "a[0].plot(minimum['Output']['P_bar'], minimum['Output']['quartz1'], '-k', label = 'Quartz')\n",
    "a[0].plot(minimum['Output']['P_bar'], minimum['Output']['plagioclase1'], '-r', label = 'Plagioclase')\n",
    "a[0].plot(minimum['Output']['P_bar'], minimum['Output']['alkali-feldspar1'], '-b', label = 'Alkali Feldspar')\n",
    "a[0].legend()\n",
    "a[0].set_xlabel('Pressure (bar)')\n",
    "a[0].set_ylabel('Temperature ($^o$C)')\n",
    "\n",
    "a[1].plot(minimum['Output']['P_bar'], minimum['Output']['3 Phase Saturation'], 'ok', mfc = 'b')\n",
    "a[1].plot(minimum['CurveMin']['3 Phase Saturation']['P_new'], minimum['CurveMin']['3 Phase Saturation']['y_new'], '--k')\n",
    "a[1].set_xlabel('Pressure (bar)')\n",
    "a[1].set_ylabel('Temperature Residual ($^o$C)')\n",
    "\n",
    "a[2].plot(c, t, 'ob', mec = 'k', label = \"multiprocessing\")\n",
    "a[2].plot(1, t_null, 'dr', mec = 'k', label = \"Main Process Only\")\n",
    "a[2].set_ylabel('Time (secs)')\n",
    "a[2].set_xlabel('Number of processes')\n",
    "a[2].legend()\n",
    "\n",
    "f.tight_layout()\n",
    "\n",
    "plt.savefig('SpeedComparisons.png', format = 'png', dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0508bb21",
   "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": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}