diff --git a/examples/ConsBequestModel/example_AccidentalBequestPort.ipynb b/examples/ConsBequestModel/example_AccidentalBequestPort.ipynb new file mode 100644 index 000000000..011cd2fb8 --- /dev/null +++ b/examples/ConsBequestModel/example_AccidentalBequestPort.ipynb @@ -0,0 +1,387 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 11, + "id": "19c5f531", + "metadata": {}, + "outputs": [], + "source": [ + "from copy import copy\n", + "from time import time\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "\n", + "from HARK.Calibration.Income.IncomeTools import (\n", + " CGM_income,\n", + " parse_income_spec,\n", + " parse_time_params,\n", + ")\n", + "from HARK.ConsumptionSaving.ConsBequestModel import (\n", + " BequestWarmGlowPortfolioType,\n", + ")\n", + "from HARK.datasets.life_tables.us_ssa.SSATools import parse_ssa_life_table\n", + "from HARK.datasets.SCF.WealthIncomeDist.SCFDistTools import income_wealth_dists_from_scf\n", + "from HARK.utilities import plot_funcs" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "509ad629", + "metadata": {}, + "outputs": [], + "source": [ + "# First define the portfolio params similar to the notebook solution for that agent type\n", + "ConsPortfolioDict = {\n", + " # Parameters shared with the Perfect foresight consumer type\n", + " \"CRRA\": 5.0, # Coefficient of relative risk aversion,\n", + " \"Rfree\": 1.03, # Interest factor on assets\n", + " \"DiscFac\": 0.90, # Intertemporal discount factor\n", + " \"LivPrb\": [0.98], # Survival probability\n", + " \"PermGroFac\": [1.01], # Permanent income growth factor\n", + " \"BoroCnstArt\": 0.0, # Artificial borrowing constraint\n", + " \"MaxKinks\": 400, # Maximum number of grid points to allow in cFunc (should be large)\n", + " \"AgentCount\": 10000, # Number of agents of this type (only matters for simulation)\n", + " \"aNrmInitMean\": 0.0, # Mean of log initial assets (only matters for simulation)\n", + " \"aNrmInitStd\": 1.0, # Standard deviation of log initial assets (only for simulation)\n", + " \"pLvlInitMean\": 0.0, # Mean of log initial permanent income (only matters for simulation)\n", + " \"pLvlInitStd\": 0.0, # Standard deviation of log initial permanent income (only matters for simulation)\n", + " \"PermGroFacAgg\": 1.0, # Aggregate permanent income growth factor: portion of PermGroFac attributable to aggregate productivity growth (only matters for simulation)\n", + " \"T_age\": None, # Age after which simulated agents are automatically killed\n", + " \"T_cycle\": 1, # Number of periods in the cycle for this agent type\n", + " \"PerfMITShk\": False, # Do Perfect Foresight MIT Shock: Forces Newborns to follow solution path of the agent he/she replaced when True\n", + " # assets above grid parameters\n", + " \"aXtraMin\": 0.001, # Minimum end-of-period \"assets above minimum\" value\n", + " \"aXtraMax\": 100, # Maximum end-of-period \"assets above minimum\" value\n", + " \"aXtraNestFac\": 1, # Exponential nesting factor when constructing \"assets above minimum\" grid\n", + " \"aXtraCount\": 200, # Number of points in the grid of \"assets above minimum\"\n", + " \"aXtraExtra\": [\n", + " None\n", + " ], # Some other value of \"assets above minimum\" to add to the grid, not used\n", + " # Income process variables\n", + " \"PermShkStd\": [0.1], # Standard deviation of log permanent income shocks\n", + " \"PermShkCount\": 7, # Number of points in discrete approximation to permanent income shocks\n", + " \"TranShkStd\": [0.1], # Standard deviation of log transitory income shocks\n", + " \"TranShkCount\": 7, # Number of points in discrete approximation to transitory income shocks\n", + " \"UnempPrb\": 0.05, # Probability of unemployment while working\n", + " \"UnempPrbRet\": 0.005, # Probability of \"unemployment\" while retired\n", + " \"IncUnemp\": 0.3, # Unemployment benefits replacement rate\n", + " \"IncUnempRet\": 0.0, # \"Unemployment\" benefits when retired\n", + " \"tax_rate\": 0.0, # Flat income tax rate\n", + " \"T_retire\": 0, # Period of retirement (0 --> no retirement)\n", + " \"vFuncBool\": False, # Whether to calculate the value function during solution\n", + " \"CubicBool\": False, # Use cubic spline interpolation when True, linear interpolation when False\n", + " \"neutral_measure\": False, # Use permanent income neutral measure (see Harmenberg 2021) during simulations when True.\n", + " \"NewbornTransShk\": False, # Whether Newborns have transitory shock. The default is False.\n", + " # Attributes specific to the Portfolio consumer\n", + " \"RiskyAvg\": 1.08, # Average return of the risky asset\n", + " \"RiskyStd\": 0.20, # Standard deviation of (log) risky returns\n", + " \"RiskyCount\": 5, # Number of integration nodes to use in approximation of risky returns\n", + " \"ShareCount\": 25, # Number of discrete points in the risky share approximation\n", + " \"AdjustPrb\": 1.0, # Probability that the agent can adjust their risky portfolio share each period\n", + " \"DiscreteShareBool\": False, # Flag for whether to optimize risky share on a discrete grid only\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "8a2d828c", + "metadata": { + "title": "Alter calibration" + }, + "outputs": [], + "source": [ + "birth_age = 25\n", + "death_age = 90\n", + "adjust_infl_to = 1992\n", + "income_calib = CGM_income\n", + "education = \"College\"\n", + "\n", + "# Income specification\n", + "income_params = parse_income_spec(\n", + " age_min=birth_age,\n", + " age_max=death_age,\n", + " adjust_infl_to=adjust_infl_to,\n", + " **income_calib[education],\n", + " SabelhausSong=True,\n", + ")\n", + "\n", + "# Initial distribution of wealth and permanent income\n", + "dist_params = income_wealth_dists_from_scf(\n", + " base_year=adjust_infl_to,\n", + " age=birth_age,\n", + " education=education,\n", + " wave=1995,\n", + ")\n", + "\n", + "# We need survival probabilities only up to death_age-1, because survival\n", + "# probability at death_age is 1.\n", + "liv_prb = parse_ssa_life_table(\n", + " female=True,\n", + " cross_sec=True,\n", + " year=2004,\n", + " min_age=birth_age,\n", + " max_age=death_age - 1,\n", + ")\n", + "\n", + "# Parameters related to the number of periods implied by the calibration\n", + "time_params = parse_time_params(age_birth=birth_age, age_death=death_age)\n", + "\n", + "# Update all the new parameters\n", + "params = copy(ConsPortfolioDict)\n", + "params.update(time_params)\n", + "params.update(dist_params)\n", + "params.update(income_params)\n", + "params.update({\"LivPrb\": [1.0] * len(liv_prb)})\n", + "\n", + "# Specify bequest parameters\n", + "params[\"TermBeqCRRA\"] = params[\"CRRA\"]\n", + "params[\"TermBeqFac\"] = 1.0\n", + "params[\"TermBeqShift\"] = 0.0\n", + "params[\"BeqCRRA\"] = params[\"CRRA\"]\n", + "params[\"BeqFac\"] = 1.0\n", + "params[\"BeqShift\"] = 0.0" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "fbfff075", + "metadata": { + "title": "Create and solve agent" + }, + "outputs": [], + "source": [ + "# Make and solve an idiosyncratic shocks consumer with a finite lifecycle\n", + "TerminalExample = BequestWarmGlowPortfolioType(**params)\n", + "# Make this consumer live a sequence of periods exactly once\n", + "TerminalExample.cycles = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "5f41049a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Solving a lifecycle consumer took 1.4315111637115479 seconds.\n" + ] + } + ], + "source": [ + "start_time = time()\n", + "TerminalExample.solve()\n", + "end_time = time()\n", + "print(f\"Solving a lifecycle consumer took {end_time - start_time} seconds.\")\n", + "TerminalExample.unpack(\"cFuncAdj\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "27d1663e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Consumption functions\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the consumption functions\n", + "print(\"Consumption functions\")\n", + "plot_funcs(TerminalExample.cFuncAdj, 0, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "a16b7032", + "metadata": { + "lines_to_next_cell": 2, + "title": "Simulation" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'aNrm': array([[ 0.46904282, 1.31175838, 0.56159051, ..., 1.52467805,\n", + " 2.09733267, 0.37409977],\n", + " [ 1.37520903, 0.6176298 , 0.30952987, ..., 1.84837915,\n", + " 0.89571365, 0.24535435],\n", + " [ 0.89533034, 0.6693685 , 0.22147663, ..., 0.99076435,\n", + " 1.90439842, 0.27483799],\n", + " ...,\n", + " [ 3.1209396 , 2.09409977, 1.53508227, ..., 1.14624321,\n", + " 7.43197775, 1.08544793],\n", + " [ 5.3628424 , 2.66917712, 2.83951441, ..., 1.89757911,\n", + " 12.28691809, 2.38158327],\n", + " [ 5.63316314, 2.11559551, 3.19324341, ..., 2.36804854,\n", + " 9.9066531 , 3.49900954]]),\n", + " 'cNrm': array([[0.67873532, 0.78560172, 0.69243062, ..., 0.8093949 , 0.87001464,\n", + " 0.66309012],\n", + " [0.79329515, 0.70222072, 0.65278482, ..., 0.84389605, 0.73779289,\n", + " 0.63795665],\n", + " [0.74499716, 0.71689987, 0.63878221, ..., 0.75628097, 0.85485524,\n", + " 0.65281797],\n", + " ...,\n", + " [0.97070054, 0.87382028, 0.81664986, ..., 0.77414266, 1.32229596,\n", + " 0.76722624],\n", + " [1.15881367, 0.93108216, 0.94666304, ..., 0.85739706, 1.66736904,\n", + " 0.90425066],\n", + " [1.17635676, 0.87972626, 0.97764095, ..., 0.9034842 , 1.4913754 ,\n", + " 1.00400766]]),\n", + " 'pLvl': array([[36.71640118, 16.82205727, 7.95128107, ..., 30.27971795,\n", + " 12.98853902, 18.48391768],\n", + " [31.84982278, 17.83243806, 9.24615523, ..., 39.24987577,\n", + " 16.83630422, 17.86391025],\n", + " [33.54769045, 17.12447306, 7.96951851, ..., 50.55320999,\n", + " 11.99248252, 18.81620929],\n", + " ...,\n", + " [18.05444828, 25.2129987 , 8.67721827, ..., 23.09621387,\n", + " 64.19075411, 78.77789183],\n", + " [13.03220011, 38.8833582 , 6.26345614, ..., 22.19010488,\n", + " 46.3346617 , 75.68728331],\n", + " [14.83380395, 58.74199052, 7.12933194, ..., 25.25772031,\n", + " 69.99884743, 65.89269544]]),\n", + " 't_age': array([[1., 1., 1., ..., 1., 1., 1.],\n", + " [2., 2., 2., ..., 2., 2., 2.],\n", + " [3., 3., 3., ..., 3., 3., 3.],\n", + " ...,\n", + " [3., 3., 3., ..., 3., 3., 3.],\n", + " [4., 4., 4., ..., 4., 4., 4.],\n", + " [5., 5., 5., ..., 5., 5., 5.]]),\n", + " 'mNrm': array([[ 1.14777815, 2.0973601 , 1.25402113, ..., 2.33407295,\n", + " 2.96734731, 1.03718989],\n", + " [ 2.16850418, 1.31985051, 0.96231468, ..., 2.6922752 ,\n", + " 1.63350654, 0.883311 ],\n", + " [ 1.6403275 , 1.38626836, 0.86025884, ..., 1.74704532,\n", + " 2.75925366, 0.92765597],\n", + " ...,\n", + " [ 4.09164014, 2.96792005, 2.35173212, ..., 1.92038587,\n", + " 8.75427371, 1.85267418],\n", + " [ 6.52165608, 3.60025928, 3.78617744, ..., 2.75497617,\n", + " 13.95428713, 3.28583394],\n", + " [ 6.80951991, 2.99532178, 4.17088436, ..., 3.27153274,\n", + " 11.3980285 , 4.5030172 ]])}" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Number of LifecycleExamples and periods in the simulation.\n", + "TerminalExample.AgentCount = 500\n", + "TerminalExample.T_sim = 200\n", + "\n", + "# Set up the variables we want to keep track of.\n", + "TerminalExample.track_vars = [\"aNrm\", \"cNrm\", \"pLvl\", \"t_age\", \"mNrm\"]\n", + "\n", + "# Run the simulations\n", + "TerminalExample.initialize_sim()\n", + "TerminalExample.simulate()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "7c7979ec", + "metadata": { + "title": "Extract and format simulation results" + }, + "outputs": [], + "source": [ + "raw_data = {\n", + " \"Age\": TerminalExample.history[\"t_age\"].flatten() + birth_age - 1,\n", + " \"pIncome\": TerminalExample.history[\"pLvl\"].flatten(),\n", + " \"nrmM\": TerminalExample.history[\"mNrm\"].flatten(),\n", + " \"nrmC\": TerminalExample.history[\"cNrm\"].flatten(),\n", + "}\n", + "\n", + "Data = pd.DataFrame(raw_data)\n", + "Data[\"Cons\"] = Data.nrmC * Data.pIncome\n", + "Data[\"M\"] = Data.nrmM * Data.pIncome" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "1d8269db", + "metadata": { + "title": "Plots" + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjsAAAHFCAYAAAAUpjivAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAACljklEQVR4nOzdd3hTZfvA8W/apuleQBeUUpassjcie+8hCsrWnwKiCAgiKqC+LBe+oKCvypSlKCoge4lskF122S1llJbSlTbn98ehgdBBAmmTtvfnunLl5OTJOfd5mtKb5zxDoyiKghBCCCFEAeVg6wCEEEIIIXKTJDtCCCGEKNAk2RFCCCFEgSbJjhBCCCEKNEl2hBBCCFGgSbIjhBBCiAJNkh0hhBBCFGiS7AghhBCiQJNkRwghhBAFmiQ74ol169YNV1dX7ty5k22Zl156Ca1Wy/Xr15/6fBcuXECj0TBv3jyLP7t161Y0Gg2//PLLY8tOnDgRjUbzBBHmfO6cYm/evDkajYZSpUpZ7bwATZs2pWnTpsbXT1OHeenPP/+kU6dOBAQE4OzsjJ+fHy1atOCnn35Cr9fneTxZfSdKlSrFgAEDjK+vXbvGxIkTOXTokFmft6VHY7e1W7duMW7cOCpVqoS7uzve3t5UqFCBvn37cuTIEZvElBe/Kxn/NmzdujXXziFUTrYOQORfgwcPZuXKlSxevJihQ4dmej8uLo7ffvuNjh07EhAQ8NTnCwoKYteuXZQpU+apj2ULnp6e/PDDD5n+yERGRrJ161a8vLxyPQZ7r0NFURg0aBDz5s2jffv2fPHFF4SEhBAXF8eWLVsYOnQoN2/e5K233rJ1qPz2228mP7Nr164xadIkSpUqRfXq1U3KvvLKK7Rt2zaPI8wfEhISqF+/PgkJCbzzzjtUq1aNpKQkTp8+za+//sqhQ4eoWrVqnsdl778rwjKS7Ign1q5dO4KDg/nxxx+zTHaWLFlCUlISgwcPfqrzpKenk5aWhk6no379+k91LFt64YUX+P777zlz5gzlypUz7v/xxx8pXrw44eHhnDhxIldjsPc6/PTTT5k3bx6TJk3iww8/NHmvU6dOjBkzhrNnz9ooOlM1atQwu2yJEiUoUaJELkaTf/3888+cPXuWzZs306xZM5P3Ro4cicFgsMp5FEUhOTkZV1dXs8rb+++KsIzcxhJPzNHRkf79+3PgwAGOHj2a6f25c+cSFBREu3btuHHjBkOHDqVSpUp4eHjg7+9P8+bN+fvvv00+k9F0PH36dD755BPCwsLQ6XRs2bIly2bls2fPMnDgQMqVK4ebmxvFixenU6dOWcYDkJyczMiRIwkMDMTV1ZUmTZrw77//mnW9y5Yto0GDBri7u+Ph4UGbNm3M/ixAq1atCAkJ4ccffzTuMxgMzJ8/n/79++PgkPnXUVEUvvnmG6pXr46rqyu+vr707NmT8+fPZyo3ffp0QkNDcXFxoWbNmvz111+Zjvc0dZjR5L5kyRLGjx9PcHAwXl5etGzZklOnTpmU/ffff+nYsSP+/v7odDqCg4Pp0KEDV65cybZ+9Ho906ZNo0KFCnzwwQdZlgkMDOTZZ581vr59+zZDhw6lePHiODs7U7p0acaPH09KSorJ5zQaDW+88QYLFy6kYsWKuLm5Ua1aNVatWpXpHKtXr6Z69erodDrCwsL47LPPsozl4VtBW7dupU6dOgAMHDjQeNty4sSJQNa3sQwGA9OnT6dChQrodDr8/f3p169fpjpq2rQpVapUYd++fTRu3Bg3NzdKly7N1KlTTRKB5ORkRo0aRfXq1fH29sbPz48GDRrw+++/Zxm/OZKTkxk3bhxhYWE4OztTvHhxhg0blunWdalSpejYsSNr166lZs2auLq6UqFCBZPvenZu3boFqC0pWXn492LAgAFZ3urNqn4zfuZz5syhYsWK6HQ6vv/+e/z9/enbt2+mY9y5cwdXV1dGjhwJZP5dWblyJRqNhk2bNmX67OzZs9FoNMZbbvv37+fFF1+kVKlSuLq6UqpUKXr37s3FixcfWx8id0iyI57KoEGD0Gg0mf5RO3HiBHv37qV///44Ojpy+/ZtACZMmMDq1auZO3cupUuXpmnTplner/7vf//L5s2b+eyzz/jrr7+oUKFClue/du0aRYoUYerUqaxdu5avv/4aJycn6tWrl+kPMMB7773H+fPn+f777/n++++5du0aTZs2zZQ8PGry5Mn07t2bSpUqsXz5chYuXMjdu3dp3Lix2a0xDg4ODBgwgAULFpCeng7A+vXruXLlCgMHDszyM6+99hojRoygZcuWrFy5km+++Ybjx4/TsGFDk35QkyZNYuzYsbRq1YqVK1cyZMgQXn311Szr4FFPUocXL17k+++/57vvvuPMmTN06tTJeE337t2jVatWXL9+na+//poNGzYwY8YMSpYsyd27d7ONY//+/dy+fZsuXbqY1b8lOTmZZs2asWDBAkaOHMnq1at5+eWXmT59Ot27d89UfvXq1cyaNYuPPvqIFStW4OfnR7du3Ux+9ps2baJLly54enqydOlSPv30U5YvX87cuXNzjKVmzZrGMu+//z67du1i165dvPLKK9l+ZsiQIcaf2R9//MHHH3/M2rVradiwITdv3jQpGx0dzUsvvcTLL7/MH3/8Qbt27Rg3bhyLFi0ylklJSeH27duMHj2alStXsmTJEp599lm6d+/OggULHlufj1IUha5du/LZZ5/Rt29fVq9ezciRI5k/fz7NmzfPlFAePnyYUaNG8fbbb/P7779TtWpVBg8ezPbt23M8T4MGDQDo168fK1euNCY/1rBy5Upmz57Nhx9+yLp162jevDkvv/wyK1asID4+3qTskiVLSE5OzvZ3MSN5z+q7MG/ePGrWrGm83XbhwgWeeeYZZsyYwbp165g2bRpRUVHUqVMn089W5BFFiKfUpEkTpWjRokpqaqpx36hRoxRAOX36dJafSUtLU/R6vdKiRQulW7duxv2RkZEKoJQpU8bkeA+/N3fu3GxjSUtLU1JTU5Vy5copb7/9tnH/li1bFECpWbOmYjAYjPsvXLigaLVa5ZVXXjHumzBhgvLwr8alS5cUJycnZfjw4Sbnunv3rhIYGKj06tUr23gePvfPP/+snD9/XtFoNMqqVasURVGU559/XmnatKmiKIrSoUMHJTQ01Pi5Xbt2KYDy+eefmxzv8uXLiqurqzJmzBhFURQlNjZWcXFxMalHRVGUf/75RwGUJk2aGPdZow7bt29vUn758uUKoOzatUtRFEXZv3+/AigrV67MsV4etXTpUgVQ5syZY1b5OXPmKICyfPlyk/3Tpk1TAGX9+vXGfYASEBCgxMfHG/dFR0crDg4OypQpU4z76tWrpwQHBytJSUnGffHx8Yqfn5/y6D+XoaGhSv/+/Y2v9+3bl23dPvqdioiIUABl6NChJuX27NmjAMp7771n3NekSRMFUPbs2WNStlKlSkqbNm2yqhpFUR78jg0ePFipUaNGjrFnZe3atQqgTJ8+3WT/smXLFED57rvvTI7n4uKiXLx40bgvKSlJ8fPzU1577bUcz6MoivLRRx8pzs7OCqAASlhYmPL6668rhw8fNinXv39/k9+RDI/Wr6KoP3Nvb2/l9u3bJvuPHDmSKX5FUZS6desqtWrVMr7O6ndl5MiRiqurq3Lnzh3jvhMnTiiAMnPmzGyvLy0tTUlISFDc3d2Vr776yrg/43dqy5Yt2X5WWIe07IinNnjwYG7evMkff/wBQFpaGosWLaJx48YmfVPmzJlDzZo1cXFxwcnJCa1Wy6ZNm4iIiMh0zM6dO6PVah977rS0NCZPnkylSpVwdnbGyckJZ2dnzpw5k+Vx+/TpY9JqEBoaSsOGDdmyZUu251i3bh1paWn069ePtLQ048PFxYUmTZpYNJIiLCyMpk2b8uOPP3Lr1i1+//13Bg0alGXZVatWodFoePnll03OGxgYSLVq1Yzn3bVrF8nJybz00ksmn2/YsCGhoaGPjcnSOuzcubPJ64z/zWY00ZctWxZfX1/Gjh3LnDlzcq0f0ubNm3F3d6dnz54m+zNuLT16u6FZs2Z4enoaXwcEBODv72+M+969e+zbt4/u3bvj4uJiLOfp6UmnTp2sGnvG9+3Rzup169alYsWKmWIPDAykbt26JvuqVq2a6bbIzz//TKNGjfDw8DD+jv3www9Z/hwfZ/PmzVnG+Pzzz+Pu7p4pxurVq1OyZEnjaxcXF8qXL2/WrZsPPviAS5cu8eOPP/Laa6/h4eHBnDlzqFWrFkuWLLE49gzNmzfH19fXZF94eDi1atUyaaGJiIhg79692f4uZhg0aBBJSUksW7bMuG/u3LnodDr69Olj3JeQkMDYsWMpW7YsTk5OODk54eHhwb17957oZyGeniQ74qn17NkTb29v4z8ea9as4fr16yYdk7/44guGDBlCvXr1WLFiBbt372bfvn20bduWpKSkTMfM7v79o0aOHMkHH3xA165d+fPPP9mzZw/79u0zjuh4VGBgYJb7cmo6z7hdVKdOHbRarclj2bJlFjdLDx48mD///JMvvvgCV1fXTH+sHz6voigEBARkOu/u3buN582IPbtrexxL67BIkSImr3U6HYCxrLe3N9u2baN69eq89957VK5cmeDgYCZMmJDjsPGMP5SRkZGPjRnU6w4MDMx0y8vf3x8nJ6dMP9NH486IPSPu2NhYDAbDE9ejJXLqpxIcHGxx7AC//vorvXr1onjx4ixatIhdu3axb98+Bg0aRHJy8hPF6OTkRLFixUz2azSaLH9nzIkxJwEBAQwcOJA5c+Zw5MgRtm3bhrOz81ONvMvu35FBgwaxa9cuTp48CTxIWHr37p3j8SpXrkydOnWM/9alp6ezaNEiunTpgp+fn7Fcnz59mDVrFq+88grr1q1j79697Nu3j2LFipldH8K6ZDSWeGqurq707t2b//3vf0RFRfHjjz/i6enJ888/byyzaNEimjZtyuzZs00+m10fDnPnJFm0aBH9+vVj8uTJJvtv3ryJj49PpvLR0dFZ7svqH+oMRYsWBeCXX34xq6Xkcbp3786wYcOYOnUqr776arajQ4oWLYpGo+Hvv/82JhQPy9iXEXt21/a4uXssrUNzhIeHs3TpUhRF4ciRI8ybN4+PPvoIV1dX3n333Sw/U7t2bfz8/Pj999+ZMmXKY78DRYoUYc+ePSiKYlI2JiaGtLQ048/NXL6+vmg0mmzr0ZoyfmZRUVGZRmldu3bN4thB/TmGhYWxbNkyk/p4tG+NJTGmpaVx48YNk4RHURSio6ONHbJzy3PPPUfr1q1ZuXIlMTEx+Pv74+LikuX1ZPcfjuy+Q71792bkyJHMmzeP//znPyxcuJCuXbtmagXKysCBAxk6dCgRERGcP3+eqKgok34+cXFxrFq1igkTJph81zP6VAnbkJYdYRWDBw8mPT2dTz/9lDVr1vDiiy/i5uZmfF+j0WT6g33kyBF27dr1VOfN6rirV6/m6tWrWZZfsmQJiqIYX1+8eJGdO3eaTLz3qDZt2uDk5MS5c+eoXbt2lg9LuLq68uGHH9KpUyeGDBmSbbmOHTuiKApXr17N8pzh4eEA1K9fHxcXF3766SeTz+/cudOsWwiW1qElNBoN1apV48svv8THx4eDBw9mW1ar1TJ27FhOnjzJxx9/nGWZmJgY/vnnHwBatGhBQkICK1euNCmT0Rm3RYsWFsXq7u5O3bp1+fXXX01aQu7evcuff/752M8/2sKVk+bNmwOYdDAG2LdvHxERERbHDmpdOzs7m/yBj46OfuLRWBkxPBrjihUruHfv3hPFmJXr169nObw8PT2dM2fO4ObmZky6S5UqRUxMjEnn/NTUVNatW2fROX19fenatSsLFixg1apVREdHP/YWVobevXvj4uLCvHnzmDdvHsWLF6d169bG9zUaDYqiZPqd+v77742d+EXek5YdYRW1a9ematWqzJgxA0VRMs2t07FjRz7++GMmTJhAkyZNOHXqFB999BFhYWGkpaU98Xk7duzIvHnzqFChAlWrVuXAgQN8+umn2c5pEhMTQ7du3Xj11VeJi4tjwoQJuLi4MG7cuGzPUapUKT766CPGjx/P+fPnadu2Lb6+vly/fp29e/fi7u7OpEmTLIp75MiRxiGu2WnUqBH/93//x8CBA9m/fz/PPfcc7u7uREVFsWPHDsLDwxkyZAi+vr6MHj2aTz75hFdeeYXnn3+ey5cvM3HiRLNuv1hah4+zatUqvvnmG7p27Urp0qVRFIVff/2VO3fu0KpVqxw/+8477xAREcGECRPYu3cvffr0MU4quH37dr777jsmTZpEo0aN6NevH19//TX9+/fnwoULhIeHs2PHDiZPnkz79u1p2bKlxbF//PHHtG3bllatWjFq1CjS09OZNm0a7u7uj/1feZkyZXB1deWnn36iYsWKeHh4EBwcTHBwcKayzzzzDP/3f//HzJkzcXBwoF27dly4cIEPPviAkJAQ3n77bYtj79ixI7/++itDhw6lZ8+eXL58mY8//pigoCDOnDlj8fFatWpFmzZtGDt2LPHx8TRq1IgjR44wYcIEatSokeXw7SexcOFCvv32W/r06UOdOnXw9vbmypUrfP/99xw/fpwPP/wQZ2dnQJ2r6sMPP+TFF1/knXfeITk5mf/+979PlEQMGjSIZcuW8cYbb1CiRAmzvy8+Pj5069aNefPmcefOHUaPHm0yPN7Ly4vnnnuOTz/9lKJFi1KqVCm2bdvGDz/88MQtpcIKbNY1WhQ4X331lQIolSpVyvReSkqKMnr0aKV48eKKi4uLUrNmTWXlypWZRldkjID49NNPMx0jq9ERsbGxyuDBgxV/f3/Fzc1NefbZZ5W///5badKkickopIxRDwsXLlTefPNNpVixYopOp1MaN26s7N+/3+Q8WY3sUBRFWblypdKsWTPFy8tL0el0SmhoqNKzZ09l48aNOdbLw6OxcvLoaKwMP/74o1KvXj3F3d1dcXV1VcqUKaP069fPJG6DwaBMmTJFCQkJUZydnZWqVasqf/75Z6Z6sEYdPnodjx7z5MmTSu/evZUyZcoorq6uire3t1K3bl1l3rx5OV7/w37//XelQ4cOSrFixRQnJyfF19dXadasmTJnzhwlJSXFWO7WrVvK66+/rgQFBSlOTk5KaGioMm7cOCU5OdnkeIAybNiwTOfJalTSH3/8oVStWlVxdnZWSpYsqUydOjXL70RWn12yZIlSoUIFRavVKoAyYcIERVGy/k6lp6cr06ZNU8qXL69otVqlaNGiyssvv6xcvnzZpFyTJk2UypUrZ4o9q5FJU6dOVUqVKqXodDqlYsWKyv/+9z+zY89KUlKSMnbsWCU0NFTRarVKUFCQMmTIECU2NjbT8Tp06JDp849+h7Jy4sQJZdSoUUrt2rVNft5NmjRRFi5cmKn8mjVrlOrVqyuurq5K6dKllVmzZmU7Giurn3mG9PR0JSQkRAGU8ePHZ3o/p5GL69evN44cy2rE6ZUrV5QePXoovr6+iqenp9K2bVvl2LFjmepdRmPlHY2iPNSmL4QQQghRwEifHSGEEEIUaJLsCCGEEKJAk2RHCCGEEAWaJDtCCCGEKNAk2RFCCCFEgSbJjhBCCCEKNJlUEDAYDFy7dg1PT0+zlykQQgghhG0pisLdu3cJDg42mdzxUZLsoK5FExISYuswhBBCCPEELl++nOOs75LsAJ6enoBaWV5eXjaOJvfo9XrWr19P69at0Wq1tg7Hbki9ZE/qJmtSL1mTesme1E3WnrZe4uPjCQkJMf4dz44kOzxYGdfLy6vAJztubm54eXnJL9tDpF6yJ3WTNamXrEm9ZE/qJmvWqpfHdUGRDspCCCGEKNAk2RFCCCFEgSbJjhBCCCEKNOmzI4QQBVR6ejp6vT7PzqfX63FyciI5OZn09PQ8O29+IHWTtcfVi1arxdHR8anPI8mOEEIUMIqiEB0dzZ07d/L8vIGBgVy+fFnmLHuE1E3WzKkXHx8fAgMDn6reJNkRQogCJiPR8ff3x83NLc/+uBoMBhISEvDw8MhxgrfCSOomaznVi6IoJCYmEhMTA0BQUNATn0eSHSGEKEDS09ONiU6RIkXy9NwGg4HU1FRcXFzkD/ojpG6y9rh6cXV1BSAmJgZ/f/8nvqUlNS6EEAVIRh8dNzc3G0cihHVkfJefpv+ZJDtCCFEASb8QUVBY47ssyY4QQgghCjRJdoQQQghRoEmyI4QQwi4MGDAAjUaDRqNBq9VSunRpRo8ezb1792wdmk0NGDCArl27Wq1cYSSjsYQQIitpKeDgBA5PP6GZMF/btm2ZO3cuer2ev//+m1deeYV79+4xe/Zsi4+lKArp6ek4OcmfusJOWnaEEOJRCTEwqw58XQ/S824GYgE6nY7AwEBCQkLo06cPL730EitXrgTU5GX69OmULl0aV1dXqlWrxi+//GL87NatW9FoNKxbt47atWuj0+n4+++/adq0KcOHD2fEiBH4+voSEBDAd999x7179xg4cCCenp6UKVOGv/76y3is9PR0Bg8eTFhYGK6urjzzzDN89dVXJrFmtKR89tlnBAUFUaRIEYYNG2Yyaig1NZUxY8YQEhJC8eLFadCgAVu3bjW+P2/ePHx8fFi3bh0VK1bEw8ODtm3bEhUVBcDEiROZP38+v//+u7HV6+HP56Rp06a8+eabjBkzBj8/PwIDA5k4caJJmTt37vB///d/BAQE4OLiQpUqVVi1apXx/RUrVlC5cmV0Oh2lSpXi888/N/l8qVKl+OSTT+jXrx8eHh6Ehoby+++/c+PGDbp06YKHhwfh4eHs37/f5HM7d+7kueeew93dncqVK/PWW2/lagueJDtCCPEwgwF+ex3uXIRbZ+DiTltH9NQURSExNS1PHkmp6cZtRVGeOnZXV1dj8vD+++8zd+5cZs+ezfHjx3n77bd5+eWX2bZtm8lnxowZw5QpU4iIiKBq1aoAzJ8/n6JFi7J3716GDx/OkCFDeP7552nYsCEHDx6kTZs29O3bl8TERECd/6VEiRIsX76cEydO8OGHH/Lee++xfPlyk3Nt2bKFc+fOsWXLFubPn8+8efOYN2+e8f2BAwfyzz//sHjxYnbs2EHPnj1p27YtZ86cMZZJTEzks88+Y+HChWzfvp1Lly4xevRoAEaPHk2vXr2MCVBUVBQNGzY0u/7mz5+Pu7s7e/bsYfr06Xz00Uds2LDBeI3t2rVj586dLFq0iBMnTjB16lTjXDYHDhygV69evPjiixw9epSJEyfywQcfmFwfwJdffkmjRo34999/6dChA3379qVfv368/PLLHDx4kLJly9KvXz/j9+Ho0aO0adOG7t27c+jQIX788Uf++ecf3njjDbOvy1LStieEEA/b+V84t+nB69NroXQT28VjBUn6dCp9uC7Pz3vioza4OT/5n5m9e/eyePFiWrRowb179/jiiy/YvHkzDRo0AKB06dLs2LGDb7/9liZNHvyMPvroI1q1amVyrGrVqvH+++8DMG7cOKZOnUrRokV59dVXAfjwww+ZPXs2R44coX79+mi1WiZNmmT8fFhYGDt37mT58uX06tXLuN/X15dZs2bh6OhIhQoV6NChA5s2beLVV1/l3LlzLFmyhCtXrhAYGEh8fDyjRo1i3bp1zJ07l8mTJwPq/DFz5syhTJkyALzxxht89NFHAHh4eODq6kpKSgqBgYEW12HVqlWZMGECAOXKlWPWrFls2rSJVq1asXHjRvbu3UtERATly5c31mmGL774ghYtWvDBBx8AUL58eU6cOMGnn37KgAEDjOXat2/Pa6+9ZlKPderU4fnnnwdg7NixNGjQgOvXrxMYGMinn35Knz59GDFiBAaDgYCAAGbMmEGzZs2YPXs2Li4uFl/n40iyI4Qo2BJvg9ZVfTzO5X2w+WN1u0JHOLkKTq6GNpNB5q3JE6tWrcLDw4O0tDT0ej1dunRh5syZnDhxguTk5ExJTGpqKjVq1DDZV7t27UzHzWjhAXB0dKRIkSKEh4cb9wUEBAAYlyYAmDNnDt9//z0XL14kKSmJ1NRUqlevbnLcypUrm8zqGxQUxNGjRwE4ePAgiqIYE4kMKSkpJrNbu7m5GROdjGM8HMfTePi6Hz32oUOHKFGiRKb4MkRERNClSxeTfY0aNWLGjBmkp6cbr/vhc2TUY3Z1GxgYyIEDBzh79iw//fSTsYyiKBgMBiIjI6lYseKTXm62JNkRQhRc1w7BvA5qotNrAYTm0PyfdAdWDAJDGlTuDp1nwvTS6u2sGyfB3/r/AOcVV60jJz5qk+vnMRgM3I2/i6eXJw4ODrhqLe/cnfG/e61WS3BwMFqtFoDIyEgAVq9eTfHixU0+o9PpTF67u7tnOm7GcTJkjPh6+HXGNQAsX76ct99+m88//5wGDRrg6enJp59+yp49ex573IxjGAwGHB0dOXDgABqNxmQNKA8PjxyPYY1bgI+LL2MphuwoipJpQr+s4sqqHnOqW4PBwGuvvcabb76ZaW2skiVLmntpFpFkRwhRMCXehmV9ITVBfczvBO2mQe3BmVtpFAX+fAvuXAKfUOg0A3Qe6u2rM+vh1F/5OtnRaDRPdTvJXAaDgTRnR9ycnZ54/Sd3d3fKli2baX+lSpXQ6XRcunTJ5JZVbvn7779p2LAhQ4cONe47d+6cRceoUaMG6enpxMTE0KhRI+Lj4/Hy8rK4bpydnUlPT7foM+aoWrUqV65c4fTp01m27lSqVIkdO3aY7Nu5cyfly5d/4jWqAGrWrMnx48cpW7YsBoPhievFEtJBWQhR8BjS4ZdBEHcJfMOgcje1xWb1KPjzTXVY+cMOzIMTK9Wh5j3ngou3ur98W/X51F8I2/L09GT06NG8/fbbzJ8/n3PnzvHvv//y9ddfM3/+fKufr2zZsuzfv59169Zx+vRpPvjgA/bt22fRMcqXL89LL71Ev379+PXXX7l48SL79u1j2rRprFmzxuzjlCpViiNHjnDq1Clu3rz5VGtEPaxJkyY899xz9OjRgw0bNhAZGclff/3F2rVrARg1ahSbNm3i448/5vTp08yfP59Zs2YZO08/qbFjx7Jr1y6GDRvGoUOHOHfuHH/88QfDhw+3xmVlSZIdIUTBs/kTOL8FtG7w4k9qAtNyEqCBgwvUW1vx6tBerp+Ate+q2y0nQolaD46Tkexc2QcJN/LyCkQWPv74Yz788EOmTJlCxYoVadOmDX/++SdhYWFWP9frr79O9+7deeGFF6hXrx63bt0yaeUx19y5c+nXrx/vvPMOderUoWvXruzZs4eQkBCzj/Hqq6/yzDPPULt2bYoVK8Y///xjcRzZWbFiBXXq1KF3795UqlSJMWPGGFuRatasyfLly1m6dClVqlThww8/5KOPPjLpnPwkqlatyrZt2zhz5gxNmjShSZMmTJgwgaCgICtcUdY0irVuDOZj8fHxeHt7ExcXh5eXl63DyTV6vZ41a9bQvn37TPdxCzOpl+zly7qJ+BOWvaxu9/gBwns+eO/sRrXFJzkOPAKh+3fw1xi1T07ZVtBnOTzalP7tcxB1GLp8DTXU49pzvSQnJxMZGUlYWFiujGrJSV7dksiPpG6yZk695PSdNvfvt9S4EKLguHEafhuibtcfZproAJRtCa9ugWIVISEaFnRWEx2PQOg6O3OiA/BMe/VZbmUJkW9JsiOEKBhS7qotOql3IbQRtJqUdbkiZeCVDVCx0/0dGrWFx6NY1uUzbmWd2wz6ZKuHLYTIfTIaSwiR/ykKrBwKN0+BZxA8Pw8cc7i9pPOE5xfAsV/AxSfnSQODqoFnMNy9BpHboXxra0cvhMhlkuwIIexfaqLaanPvBrgXBfdi9x/3t2MiIOIPcNBCr4Xg4f/4Yzo4QNVejy+n0cAz7WD/D3D6L0l2hMiHJNkRQti/81tMl3DITrtpEFLH+ufPSHZOrYUOX1j/+EKIXCXJjhDC/kUfU59LN1NbY+7duP+4+eC5bAuoPSh3zl+qMWjd1VtZUYehWOXcOY8QIldIsiOEsH/X1bWGKNcKqvfJ+/NrXaBMM3WtrFN/SbIjRD5j09FYs2fPpmrVqnh5eeHl5UWDBg34668HwzsVRWHixIkEBwfj6upK06ZNOX78uMkxUlJSGD58OEWLFsXd3Z3OnTtz5cqVvL4UIURuir6f7ARUsV0MxiHo5s98K4SwDzZNdkqUKMHUqVPZv38/+/fvp3nz5nTp0sWY0EyfPp0vvviCWbNmsW/fPgIDA2nVqhV37941HmPEiBH89ttvLF26lB07dpCQkEDHjh1zZR0RIYQNJMdD7AV1OzA8x6K5qlxrQAPRRyD+Wvbl7t1U19gSQtgNmyY7nTp1on379pQvX57y5cvzn//8Bw8PD3bv3o2iKMyYMYPx48fTvXt3qlSpwvz580lMTGTx4sUAxMXF8cMPP/D555/TsmVLatSowaJFizh69CgbN2605aUJIawl5oT67BkMbn62i8OjGITUBcDhzNqsyxz7Fb6qBv+tAcdX5l1swiLz5s3Dx8fH1mGIPGQ3fXbS09P5+eefuXfvHg0aNCAyMpLo6Ghat34wzFOn09GkSRN27tzJa6+9xoEDB9Dr9SZlgoODqVKlCjt37qRNmzZZnislJYWUlAcLAcbHxwPqFPDWWmDNHmVcW0G+xich9ZI9e6gbh6uHcQQM/pVIt/HPyKFsGxwv74HTa8F7wIN6SU/FYdNEHPd9Zyyr/DKQ9JR7KOFmDG+3Ir1ej6IoGAwGDAZDnp47Y/WhjPNbauDAgSxYsID/+7//Y/bs2SbvDRs2jDlz5tCvXz/mzp37VHFmxPak9bN161ZatGjBrVu3zE6anrZuCipz6sVgMKAoCnq9PtNq6+b+22TzZOfo0aM0aNCA5ORkPDw8+O2336hUqRI7d+4EICAgwKR8QEAAFy9eBCA6OhpnZ2d8fX0zlYmOjs72nFOmTGHSpMyzq65fvx43N7envSS7t2HDBluHYJekXrJny7qpdukvSgFnE1yJsGCl6NzgmeRKc4DI7TiGv8iGDRtwSb1FnchZ+CWeA+B0QEd0+nhCb2/H8Y9hHPp3P5eKNs2zGJ2cnAgMDCQhIYHU1NQ8O+/DHu5qYAm9Xk/x4sVZunQpEydOxNXVFVDXRlqyZAklSpRAr9cb/4P6pOdITk5GUZQnPk5iYiKgXqcl61ylp6cTFxdnl2tj6fV6m67zltN3JjU1laSkJLZv305aWprJexk/i8exebLzzDPPcOjQIe7cucOKFSvo378/27ZtM76v0WhMyiuKkmnfox5XZty4cYwcOdL4Oj4+npCQEFq3bl3gFwLdsGEDrVq1srvFC21J6iV79lA3jnNnAFC6YRfCKrW3SQxGioIy+zscYyPxv3uUqrUbolv1MZqk2ygu3qR3+pqw8m1BMZC+7l0cD/xIjcs/UrXSMxhqD86TEJOTk7l8+TIeHh55vhCooijcvXsXT0/Px/47nRWtVkutWrWIjIxk48aNvPTSSwCsWrWKkiVLEhYWhlarNf47vXbtWiZPnsyxY8dwdHSkfv36zJgxgzJlygBw4cIFypQpw5IlS5gzZw67d+/m66+/xsXFBY1GYzzOrVu36NChAwEBASxbtgydTsdnn33Gt99+S1RUFOXLl2f8+PH07NmTCxcu0KmTutRIqVKlALJtbZo3bx4jR45kwYIFvPvuu5w+fZqTJ09SokQJPvjgAxYvXsydO3eoUqUKU6ZMoWnTpgBcvHiR4cOH888//5CamkqpUqWYNm0a7dur3/9t27YxduxYDh8+jJ+fH/369ePjjz/GyUn9k166dGneeust3nrrLWMsNWvWpEuXLkyYMAEAR0dHvv76a9auXcumTZsYNWoUEydO5I8//uCTTz7h2LFjeHh40LhxY1asWAGoScfTxJ0Vc74zycnJuLq68txzz2W5EKg5bJ7sODs7U7ZsWQBq167Nvn37+Oqrrxg7diygtt48vOx7TEyMsbUnMDCQ1NRUYmNjTVp3YmJiaNiwYbbn1Ol06HS6TPu1Wm2h+GNXWK7TUlIv2bNZ3RjS1dmRAafi1cEefj7PtIPd31D56jJ0kbPQoEBQNTS9FuDkW+pBuY5fgLMb7JqF47qxOBpSodGbuR5eeno6Go0GBweHBy0IigJ68/4H/DQMBgPoE9HoHdVza93UGajNpNFo0Gg0DBw4kPnz59O3b19ATRoGDRrE1q1bjdcGkJSUxMiRIwkPD+fevXt8+OGH9OjRg0OHDplc/7hx4/j888+ZO3cuOp2O9evXA+Dg4MCVK1do3bo1tWvX5scff8TJyYnx48fz66+/Mnv2bMqVK8f27dvp168fAQEBPPvss6xYsYIePXpw6tQpvLy8cHV1zbK1xsHBgcTERKZNm8Z3332HTqcjICCAwYMHc+HCBZYuXUpwcDC//fYb7du35+jRo5QrV47hw4eTmprK9u3bcXd358SJE8ZVwa9evUrHjh0ZMGAACxYs4OTJk7z66qu4uroyceJEk7p8NKZH902aNIkpU6YwY8YMHB0d+euvv+jZsyfjx49n4cKFpKamsnr1auNnnibuHL8z2cT7cD1qNJos/x0y998lmyc7j1IUhZSUFMLCwggMDGTDhg3UqFEDULPKbdu2MW3aNABq1aqFVqtlw4YN9Oql3hePiori2LFjTJ8+3WbXIISwktvnIS0JnFzBr7Sto1HdT3bcU2PU17UHQZsp6lw8D9NooPUnoHWF7Z/Chg8gLQWavJP3MesTYXJwrp/GAfB5eMd718DZ3eLj9O3bl3HjxnHhwgU0Gg3//PMPS5cuZevWrSblevToYfL6hx9+wN/fnxMnTlClyoNpCkaMGEH37t0znef06dO0atWKLl268NVXX6HRaLh37x5ffPEFmzdvpkGDBoDaUrJjxw6+/fZbmjRpgp+f2lHe39//sX129Ho933zzDeHh4cTHxxMdHc2SJUu4cuUKwcHqz2T06NGsXbuWuXPnMnnyZC5dukSPHj0IDw83nj/DN998Q0hICLNmzUKj0VChQgWuXbvG2LFj+fDDDy26RdanTx8GDXowEWfv3r158cUXTbp5VKtWDYBz5849Vdy2ZtNk57333qNdu3aEhIRw9+5d45d57dq1aDQaRowYweTJkylXrhzlypVj8uTJuLm50aePOqmYt7c3gwcPZtSoURQpUgQ/Pz9Gjx5NeHg4LVu2tOWlCSGswTi/TiVwcMy5bF4p2QDFqwTpd2Og0wycar6UfVmNBpq/D0462PwJbPkE0pKhxQd5F28+VLRoUTp06MD8+fNRFIUOHTpQtGjRTOXOnTvHBx98wO7du7l586axleDSpUsmyU7t2rUzfTYpKYlnn32W3r1789VXXxn3nzhxguTkZFq1amVSPjU11fgfb0s4OztTtWpVY0fcgwcPoigK5cuXNymXkpJCkSJFAHjzzTcZMmQI69evp2XLlvTo0YOqVasCEBERQYMGDUxu+TRq1IiEhASuXLlCyZIlzY7t0Xo5dOgQr776apZlnzZuW7NpsnP9+nX69u1LVFQU3t7eVK1albVr1xq/ZGPGjCEpKYmhQ4cSGxtLvXr1WL9+PZ6ensZjfPnllzg5OdGrVy+SkpJo0aIF8+bNy9RjWwiRD12/v0yELefXeZSjlrRXt7Fx/VpamjvS6rl31Nap9ePh78+gZAMol4f/IdO6qa0sucxgMBB/9y5enp4PbmM9oUGDBvHGG28A8PXXX2dZplOnToSEhPC///2P4OBgDAYDVapUydQx2909c+uSTqejZcuWrF69mnfeeYcSJUoYrwFg9erVFC9ePNNnLOXq6opGozEmOwaDAUdHRw4cOJDp75SHhwcAr7zyCm3atGH16tWsX7+eKVOm8PnnnzN8+PAs+6RmHDtjv4ODg3FfhqxGLT1aLxkdwrPytHHbmk2TnR9++CHH9zUaDRMnTjS5D/koFxcXZs6cycyZM60cnRDC5uxh5uSsuHiT6uT5+HIPa/gGxF+F3d/Ahg/V5SfyqrVKo3mi20kWMxhAm66e6ylHHLVt29aYtGQ1jcitW7eIiIjg22+/pXHjxgDs2LHD7OM7ODiwcOFC+vTpQ/Pmzdm6dSvBwcFUqlQJnU7HpUuXaNKkSZafdXZ2BniiyWtr1KhBeno6MTExxrizEhISwuuvv87rr7/OuHHj+N///sfw4cOpVKkSK1asMEl6du7ciaenpzE5K1asGFFRUcZjxcfHExkZ+djYqlatyqZNmxg4cKDV47Y1+xv/JoQQGaLtsGXnaTz3Drh4Q8xxOLzU1tHYNUdHRyIiIoiIiMiypd7X15ciRYrw3XffcfbsWTZv3mwyytbcc/z0009Uq1aN5s2bEx0djaenJ6NHj+btt99m/vz5nDt3jn///Zevv/6a+fPnAxAaGopGo2HVqlXcuHGDhIQEs89Zvnx5XnrpJfr168evv/5KZGQk+/btY9q0aay5P7XCiBEjWLduHZGRkRw8eJDNmzdTsWJFAIYOHcrly5cZPnw4J0+e5Pfff2fChAmMHDnS2F+nefPmLFy4kL///ptjx47Rv39/s+52TJgwgSVLljBhwgQiIiI4evSosf/r08Zta5LsCCHsU+JtdZVxgIACsvCmmx80Hq1ub/4EUnN/hFR+lrFuYlYcHBxYunQpBw4coEqVKrz99tt8+umnFp/DycmJJUuWULlyZZo3b05MTAwff/wxH374IVOmTKFixYq0adOGP//8k7CwMACKFy/OpEmTePfddwkICDDebjPX3Llz6devH6NGjeKZZ56hc+fO7Nmzh5CQEEBtMRo2bBgVK1akbdu2PPPMM3zzzTfGc69Zs4a9e/dSrVo1Xn/9dQYPHsz7779vPP64ceN47rnn6NixI+3bt6dr167G4fg5adq0KT///DN//PEH1atXp3nz5uzZs8cqcduaRnn0xl4hFB8fj7e3N3FxcQV+np01a9bQvn17GWL9EKmX7Nm0bs5vgwWdwbcUvHU4b8/9GE9VL/pkmFUH4i5Biw+h8SirxpacnExkZCRhYWF5Ps+OwWAgPj7+scONCyOpm6yZUy85fafN/fstNS6EsE8Z/XUKyi2sDFqXB6Ox/v5SXThUCJGrJNkRQtinjJFYAQUs2QGo0hOCqkHqXdgmc4IJkdsk2RFC2Cdj52Q7G4llDQ4O0OpjdXv/D3DrnG3jEaKAk2RHCGF/0lLhxkl1296GnVtL6SZQthUY0mBT5oWJhRDWI8mOEML+3DwNBj3ovMHH/Blh851Wk0DjACd+h8v7bB2NEAWWJDtCCPtj7JxcxaKFJPOdgMpQXV3+hvXvqwt2CiGsTpIdIYT9MXZOLqC3sB7W9D11KYnLu+HkaltHI0SBJMmOEML+PNyyU9B5F4cGQ9XtjRMgPfMaRkKIpyPJjhDCvihK4WrZAWg0Alz94NZZuGD++k5CCPNIsiOEsC93oyHxltpx198+1tXJdS5eUK6Vun1xp21jEXZHo9GwcuVKW4eRr0myI4TIO+lpsONLuHYo+zIZt7CKlgeta56EZRdKNlCfL+2ybRw2Fh0dzfDhwyldujQ6nY6QkBA6derEpk2bbB1arps4cSLVq1fPtD8qKop27drlfUAFiJOtAxBCFCLHVsDGieD6FQzZBV5Bmctcv5/sFJZbWBlCG6nPV/ZBWgo46Wwbjw1cuHCBRo0a4ePjw/Tp06latSp6vZ5169YxbNgwTp48aesQbSIwMNDWIeR70rIjhMg75zarz0mxsHIIGAyZyxTkmZNzUrQcuBWFtGS49q+to7GJoUOHotFo2Lt3Lz179qR8+fJUrlyZkSNHsnv3bgAuXbpEly5d8PDwwMvLi169enH9+nXjMTJaRxYuXEipUqXw9vbmxRdf5O7du8Yyv/zyC+Hh4bi6ulKkSBFatmzJvXv3AHXl7xEjRpjE1bVrVwYMGGB8XapUKT755BP69euHh4cHoaGh/P7779y4ccMYW3h4OPv37zd+Zt68eYSGhrJy5UrKly+Pi4sLrVq14vLly8b3J02axOHDh9FoNGg0GubNmwdkvo119OhRmjdvboz///7v/0hISDC+P2DAALp27cpnn31GUFAQRYoUYdiwYej1hbfzuyQ7Qoi8oShwfuuD1+e3wJ7ZmcsV5DWxcqLRQGhDdfviP1Y9tKIoJOoT8+SRlJZk3FYsmDfo9u3brF27lmHDhuHu7p7pfR8fHxRFoWvXrty+fZtt27axYcMGzp07xwsvvGBS9ty5c6xcuZJVq1axatUqtm3bxtSpUwH1llDv3r0ZNGgQERERbN26le7du1sUK8CXX35Jo0aN+Pfff+nQoQN9+/alX79+vPzyyxw8eJCyZcvSr18/k+MmJSUxZcoU5s+fzz///EN8fDwvvvgiAC+88AKjRo2icuXKREVFERUVlem6ABITE2nbti2+vr7s27ePn3/+mY0bN/LGG2+YlNuyZQvnzp1jy5YtzJ8/n3nz5hmTp8JIbmMJIfLGjVOQEK3OKdPiQ1g3Tr2lFdbkQStOaqI6IgkKX8sOqMlOxB9wcRc0tt5hk9KSqLe4nvUOaKY9ffbgpnUzq+zZs2dRFIUKFSpkW2bjxo0cOXKEyMhIQkJCAFi4cCGVK1dm37591KlTBwCDwcC8efPw9PQEoG/fvmzatIn//Oc/REVFkZaWRvfu3QkNDQUgPNzyxLp9+/a89tprAHz44YfMnj2bOnXq8PzzzwMwduxYGjRowPXr1423ofR6Pf/9739p0EDtnzV//nwqVqzI3r17qVu3Lh4eHjg5OeV42+qnn34iKSmJBQsWGJPCWbNm0alTJ6ZNm0ZAQAAAvr6+zJo1C0dHRypUqECHDh3YtGkTr776qsXXWhBIy44QIm9ktOqUrA/1h0D5dpCeCiteAX2S+l5MBCgGcC8GHgE2C9VmMlp2Lu0GQ7ptY8ljGS0gmhxmzI6IiCAkJMSY6ABUqlQJHx8fIiIijPtKlSplTHQAgoKCiImJAaBatWq0aNGC8PBwnn/+ef73v/8RGxtrcbxVq1Y1bmckGA8nTRn7Ms4L4OTkRO3atY2vK1SokCn2x4mIiKBatWomrV+NGjXCYDBw6tQp477KlSvj6OhofP1wHRRG0rIjhMgbGclO6abqLZsus+CbBnAjQm3haTfNtHNyQV4mIjsBVUDnBSnx6qi04OpWOayrkyt7+uyxyrFyYjAYuHv3Lp6enjg4OODqZP5ounLlyqHRaIiIiKBr165ZllEUJctk6NH9Wq3W5H2NRoPhfv8wR0dHNmzYwM6dO1m/fj0zZ85k/Pjx7Nmzh7CwMBwcHDLd0sqqr8vD58g4d1b7DI/0S8sq/pwSvEdlVwePHienOiiMpGVHCJH70tMeTJZXuqn67F4Uut7vs7NnDpzZWHg7J2dwcISQ+7ebrDgEXaPR4KZ1y5OHq5OrcduSP+J+fn60adOGr7/+2thZ+GF37tyhUqVKXLp0ydipF+DEiRPExcVRsaL5czJpNBoaNWrEpEmT+Pfff3F2dua3334DoFixYkRFRRnLpqenc+zYMbOPnZO0tDSTTsunTp3izp07xlt3zs7OpKfn3KJXqVIlDh06ZFJH//zzDw4ODpQvX94qcRZEkuwIIXLftYOQehdcfSHwQfM/5VpCXbXfAyuHPOiYW9g6Jz8slzop5wfffPMN6enp1K1blxUrVnDmzBkiIiKM/VxatmxJ1apVeemllzh48CB79+6lX79+NGnSxOT2UE727NnD5MmT2b9/P5cuXeLXX3/lxo0bxmSpefPmrF69mtWrV3Py5EmGDh3KnTt3rHJ9Wq2Wt956iz179nDw4EEGDhxI/fr1qVu3LqDefouMjOTQoUPcvHmTlJSUTMd46aWXcHFxoX///hw7dowtW7YwfPhw+vbta7x1JjKTZEcIkfsybmGFNQGHR/7ZaTUJilWEezEQc0LdV1hbduDBfDsXdxa6VdDDwsI4ePAgzZo1Y9SoUVSpUoVWrVqxadMmZs+ebRyC7evry3PPPUfLli0pXbo0y5YtM/scXl5ebN++nfbt21O+fHnef/99Pv/8c+OkfYMGDaJ///7GJCosLIxmzZpZ5fpcXV1555136NOnDw0aNMDV1ZWlS5ca3+/Rowdt27alWbNmFCtWjCVLlmQ6hpubG+vWreP27dvUqVOHnj170qJFC2bNmmWVGAsqjWLpeLsCKD4+Hm9vb+Li4vDy8rJ1OLlGr9ezZs0a2rdvn+l+bmEm9ZI9q9XN3PZqS0XHL6H2oMzvRx+D/zVTOyw7OsN718DRfn8WufqdSUuFqSHqfDvD9kKxZyz6eHJyMpGRkYSFheHi4mLd2B7DYDAQHx+Pl5cXDo8mtYXcjz/+yNtvv01sbKzUzUPM+c7k9J029++31LgQInelJMDlvep2Rn+dRwVWgZYT1e3gGnad6OQ6J2cooQ6hlnWyhLAOGY0lhMhdl3aBQQ8+JcE3LPty9YeCX+nCs/hnTkIbwoW/1WSn9kBbRyNEvictO0KI3PXokPPsaDTwTDvwLZUHQdm5hzspS0+DAmHAgAFcvHjR1mEUWpLsCCFy1/lt6nN2t7BEZiXqgIMTxF+FO5dsHY0Q+Z4kO0KI3JNw48FEgWFNbBtLfuLsDkHV1e0nnG9Hxp6IgsIa32VJdoQQuSfyfqtOQLg6iaAw3xPOt5MxOiwxMdHaEQlhExnf5acZ+SgdlIUQucfYX0dadSwW2hB2/tfiEVmOjo74+PgY10Fyc7NsJuOnYTAYSE1NJTk5WYZXP0LqJms51YuiKCQmJhITE4OPj4/JWl+WkmRHCJE7FOWhZMc6k7IVKiXrAxp1Ffi718Ezm9lxI/6EU2uh4RvGkWwZq2bn9cKPiqKQlJSEq6trniVY+YXUTdbMqRcfH58cV4I3hyQ7Qojccfs8xF0GBy2ENrB1NPmPqy8EVIbrx9R+O5W7Zi5zbjMs7w9KOhxZCvVeh6bvotF5EhQUhL+/f5aLWOYWvV7P9u3bee6552SCzkdI3WTtcfWi1WqfqkUngyQ7QojckdGqE1JP7XArLBfaUE12Lu7MnOzcOAXLB6iJjk9JddTWrllwbAW0+Q9U7o6jo6NV/lCYy9HRkbS0NFxcXOQP+iOkbrKWV/UiNw6FELkjo3Oy9Nd5ciXvt4g92m/n3k346XlIiVPLvLEf+vysTtp4Nwp+GQQLusCN03kfsxB2SJIdIYT1GdIhcru6LfPrPLmMEVnXj0HSHXU7LQWWvgR3LqoTML7wEzjpoHxrGLobmr4HTi5qsjm7IWycBAaDra5ACLsgyY4Qwvqij0BSLDh7QnBNW0eTf3kGgl8ZQIHLe9RO338Mh8u7QecNfZaDe5EH5bUu0HSsmvSUa6Mu07HjCzix0lZXIIRdkGRHCGF9Gf11whqDo3QNfCoZnbsv/gPbP4Mjy0DjCL3mZ78iul8YvLT8wQrzF/7Om1iFsFOS7AghrO/h9bDE0wltpD7/uwi2fKJud/gMypgxnD9jyP+lPbkTmxD5hPyXSwhhuaRY2PwJoAGPAPDwf/Bw9YVLu9VyskTE08vot5N4S32uP+xBi83jhNRTn2NOQHIcuHhbPz4h8gFJdoQQlts5C/Z9n3MZj8Dsb7MI8/mEgldxdVHQ8u2g9cfmf9YzQO3EHHsBruyHsi1yK0oh7JokO0IIyygKHPtF3a7SE5zdICEGEq4/eDakQY2XQGaKfXoaDXScoY6uavouOFg4b05IPTXZubxHkh1RaEmyI4SwzNUD6h9PrTt0/m/mCQMNBtAngs7DJuEVSOVbq48nEVJP7dR8WfrtiMJLOigLISxz9Gf1uUKHrGdGdnCQRMeeZPTbubIf0tNsG4sQNiLJjhDCfOlpcOxXdTv8edvGIszjXxF0XpCaoHZUFqIQsmmyM2XKFOrUqYOnpyf+/v507dqVU6dOmZQZMGAAGo3G5FG/fn2TMikpKQwfPpyiRYvi7u5O586duXLlSl5eihCFw4XtcC8GXP3MG/osbM/BEUrUVrflVpYopGya7Gzbto1hw4axe/duNmzYQFpaGq1bt+bevXsm5dq2bUtUVJTxsWbNGpP3R4wYwW+//cbSpUvZsWMHCQkJdOzYkfT09Ly8HCEKvqP3OyZX7gaOsphhvpFxK0uSHVFI2bSD8tq1a01ez507F39/fw4cOMBzzz1n3K/T6QgMDMzyGHFxcfzwww8sXLiQli1bArBo0SJCQkLYuHEjbdq0yb0LEKIw0SfBiT/UbbmFlb+E1FWfJdkRhZRdjcaKi4sDwM/Pz2T/1q1b8ff3x8fHhyZNmvCf//wHf39/AA4cOIBer6d16wcjFYKDg6lSpQo7d+7MMtlJSUkhJSXF+Do+Ph4AvV6PXq+3+nXZi4xrK8jX+CSkXrL3cN1ozq3FKfUuilcJ0oJqQiGur3z3nQmojpPGAc2dS+hvXwLPoFw5Tb6rlzwkdZO1p60Xcz+nURRFeaIzWJmiKHTp0oXY2Fj+/vvBOi7Lli3Dw8OD0NBQIiMj+eCDD0hLS+PAgQPodDoWL17MwIEDTZIXgNatWxMWFsa3336b6VwTJ05k0qRJmfYvXrwYNzc361+cEAVAnfP/JThuP2f8O3Ci+Au2DkdYqOnJ9/FOusTeUm8Q5VvX1uEIYRWJiYn06dOHuLg4vLy8si1nNy07b7zxBkeOHGHHjh0m+1944cE/qlWqVKF27dqEhoayevVqunfvnu3xFEVBk82EZuPGjWPkyJHG1/Hx8YSEhNC6descKyu/0+v1bNiwgVatWqHVSn+LDFIv2TPWTeO6uB45CkCpzu9QKqCKjSOzrfz4nXFw2AoHfqSWfxqGVu1z5Rz5sV7yitRN1p62XjLuzDyOXSQ7w4cP548//mD79u2UKFEix7JBQUGEhoZy5swZAAIDA0lNTSU2NhZfX19juZiYGBo2bJjlMXQ6HTqdLtN+rVZbKL6EheU6LSX1kj3n8+vRpKdAsQpoi1eXmZHvy1ffmdAGcOBHHK/uwzGXY85X9ZLHpG6y9qT1Yu5nbDoaS1EU3njjDX799Vc2b95MWFjYYz9z69YtLl++TFCQes+5Vq1aaLVaNmzYYCwTFRXFsWPHsk12hBCWcTi+Qt0I7ymJTn6V0Uk56rDa2VyIQsSmyc6wYcNYtGgRixcvxtPTk+joaKKjo0lKUn8RExISGD16NLt27eLChQts3bqVTp06UbRoUbp16waAt7c3gwcPZtSoUWzatIl///2Xl19+mfDwcOPoLCHEk9Pp76C5cL8fXZWetg1GPDmfUHVxVkMaXD1o62iEyFM2TXZmz55NXFwcTZs2JSgoyPhYtmwZAI6Ojhw9epQuXbpQvnx5+vfvT/ny5dm1axeenp7G43z55Zd07dqVXr160ahRI9zc3Pjzzz9xdLRwwTwhRCbFY/eiUQxQog74Pb71VdgpjUaGoItCy6Z9dh43EMzV1ZV169Y99jguLi7MnDmTmTNnWis0IfKXW+dg7/+g4XDwLm7VQxeP3aVuyNw6+V/J+hDxhyQ7otCRtbGEKAhWvQ17ZsOylyEt1XrHjY3EL/EcisZBnTVZ5G8Pz6RsH7OOCJEnJNkRIr+7fgIit6nb1w7Clk+sdmiH4+qin0pYE/Dwt9pxhY0EVgUnF0iKhVtnbR2NEHlGkh0h8rs9c9TnImXV53++grObnv64ioLDMXUtLEPlHk9/PGF7Ts4QXFPdvrTbtrEIkYfsYp4dIcQTSrwNR9QO/XSeqS7Uuf8H+O11GLITPIrl/Pm4q3BgLqTcvX9bQ3nwrE9Gc+sM6RotyjMdcvtKRF4JqQuXdqq3smr2tXU0QuSJJ0p2FEXh1q1baDQaihQpYu2YhBDmOjgf0pIhMBxKNoDgGnBxJ9yIgJWvQ5+fwSGbBtwL/8DP/eHejRxPEe1dA3+dZ45lRD4iK6CLQsiiZCc6OpoxY8bwxx9/cPfuXQC8vLzo1q0bU6ZMISAgIFeCFEJkIT0N9n6vbtcbog4t1rpCzx/hf83g7Ea103KDYaafUxTY8y2sH6/OuRIQDuUzFtLV3J80UH1O12g5etOfFnl5XSJ3ZSQ7N0+rLYNufjmXF6IAMDvZiY+Pp2HDhiQkJDBw4EAqVKiAoiicOHGCJUuWsGPHDg4ePIiHh0duxiuEyHDyT4i/Am5FocpDfWoCKkGbybB6JGyYAKGNILi6+p4+Cf4cAUeWqq/De0Gnr8A56wVwDXo9KWvW5OpliDzmXkTt33XrLFzZB+Xb2DoiIXKd2cnOV199haOjI8ePH6dYMdN+AO+//z6NGjXiv//9L++9957VgxRCZGH3/Y7JtQeB1sX0vdqD4NxmOLkKVgyG/9sGSbfVoelRh0HjCK0/gfpDZPmHwiikvprsXNotyY4oFMwejbV69Wree++9TIkOgL+/P+PGjePPP/+0anBCiGxc+xcu7wYHJzWxeZRGo3ZY9iqu/lFb3he+baImOm5FoN9KaDBUEp3CyjiT8l7bxiFEHjE72Tl9+nSOC2s2bNiQU6dOWSUoIcRjZLTqVO4GXkFZl3Hzg+7/A42D2sqTdBuCqqmtPGHP5V2swv5k9Nu5egDS9baNRYg8YHayEx8fj4+PT7bv+/j4EB8fb42YhBA5uXsdjt1fhbzekJzLlmoEzT8ANFCtDwxaBz4huR6isHNFy4OLD6QlQfQRW0cjRK4zO9lRFAWH7IawAhqN5rFrXQkhrODAXDDo1YU5S9R6fPnGI2HcFeg2Wx2tJYSDg7pOFsDJ1baNRYg8YHYHZUVRKF++PJps7vFLoiNEHkhLgX0/qNv1Xjf/czoZJSkeUa03nF4L++fCc+9IIiwKNLOTnblz5+ZmHEIIcxz/De7FgGcQVOpi62hEflahI3iXhLhL6izctQbYOiIhco3ZyU7//v1zMw4hxOMoCuyerW7XGQyOWtvGI/I3Ryeo95o6ueTu2VCzv4zOEwXWUy0EmpyczPz58/nmm284c+aMtWISQmTl8l6IOgSOOqg10NbRiIKgZl9w9oAbJ9URe0IUUGYnO++88w5vvfWW8XVqaioNGjTg1Vdf5b333qNGjRrs2rUrV4IUQgD/LlSfw58H96K2jUUUDC7eUONldXv3N7aNRYhcZHay89dff9GixYMVcn766ScuXrzImTNniI2N5fnnn+eTTz7JlSCFEMDVg+pzhfa2jUMULPVeAzTqWmo3ZK40UTCZnexcunSJSpUqGV+vX7+enj17Ehoaikaj4a233uLff//NlSCFKPT0yeqtBoDAqraNRRQsfqXhmfsJdEafMCEKGLOTHQcHB5Ph5bt376Z+/frG1z4+PsTGxlo3OiGEKuYEKOng6gveJWwdjShoGgxVnw8vVVdCF6KAMTvZqVChgnHtq+PHj3Pp0iWaNWtmfP/ixYsEBARYP0IhxINZbgOryogZYX2hjdTvVloS7P/R1tEIYXUWdVB+9913adGiBS1atKB9+/aEhYUZ31+zZg1169bNlSCFKPSi7ic7QXILS+QCjQYaDFO3930Paam2jUcIKzM72enRowdr1qyhatWqvP322yxbtszkfTc3N4YOHWr1AIUQPNSyU822cYiCq3J38AiAu1FwYmXOZdNS8iQkIazF7EkFAVq2bEnLli2zfG/ChAlWCUgI8QhDOlw/rm5Ly47ILU7OUOdV2PIJ7PpaneLg4VumigKR22HrVLi0E4pVhAod1EdwjcffXk24AXevgX9ldUJDIfKQ2d+47du3Z7nf29ubsmXL4u7ubrWghBAPuXUW9ImgdYMiZW0djSjIag+Cvz9TJ6+8tBtCG2ROcjLciFAff38GnsFQoT2asm3RGNIg7jLcOK7efo0+oj7fvaZ+rsUEdXFaIfKQ2clO06ZNs33P0dGRIUOG8Pnnn6PVyhT2QlhVRn+dgMrg4GjbWETB5l4Eqr4AB+fD7q8hPdU0yXF0VtfQqvOK+r08uUqdn+fuNdj3PU77vqcjDjgcNmR/jrObJNkRec7sZCe7YeV37txh7969vPPOOwQGBvLee+9ZLTghBBB9WH0Okv46Ig/UH6ImOxF/qg94kOQ8+zZ4Bav7ij0DVZ9X54CK3A4nV6GcWoPDvRsoDlo0/hXUPmZB1dTbrxpH+KGl2mpkSJfEXeQps5Mdb2/vbPeHhobi7OzMe++9J8mOENYW9dCwcyFym39FKNMCzm16kOQ0GgHexbMur3WB8q2hfGvSUqaz9feFNO3UG62rh2k5Qzpo3SE1AW6eAf8KuX0lQhhZrZdYtWrVuHjxorUOJ4QAtb9EtAw7F3ms27cQ8TuUb5d9kpMVB0cSdf7gpMvyPYKqqbfErh2UZEfkqada9fxh165dw9/f31qHE0IAxF2BpFhwcAL/So8vL4Q1eBRT++VYkuiYo3hN9TljnTch8ohVkp2YmBjef/99mjdvbo3DCSEyZLTqFKuQ9f+WhchPgmuoz9ck2RF5y+zbWDVq1ECTxTwKcXFxXLlyhYoVK7J06VKrBidEoSf9dURBktGyE31UnaXZydm28YhCw+xkp2vXrlnu9/LyokKFCrRu3RpHR+ldL4RVSX8dUZD4hqmL2SbFQszxBy09QuQys5MdmSFZCBuQlh1RkGg0aoJzbrPab0eSHZFHrNZBWQhhZYm3If6Kuh0YbttYhLCWYOmkLPKeJDtC2Kuo+5MJ+oaBi5dtYxHCWjL67UgnZZGHJNkRwl5Jfx1REGW07Nw4Can3bBuLKDQk2RHCXkl/HVEQeQWBZxAohgetl0LkMkl2hLBXxpYdWRNLFDDSb0fkMYuSnaSkJHbs2MGJEycyvZecnMyCBQusFpgQhVrqPXX9IJCWHVHwFJfJBUXeMjvZOX36NBUrVuS5554jPDycpk2bEhUVZXw/Li6OgQMH5kqQQhQ6148DCngEgGeAraMRwrqkZUfkMbOTnbFjxxIeHk5MTAynTp3Cy8uLRo0acenSpdyMT4jCKaMvg7TqiIIoY36d2Eh1igUhcpnZyc7OnTuZPHkyRYsWpWzZsvzxxx+0a9eOxo0bc/78+dyMUYjCR0ZiiYLMzQ/8Sqvb1/61bSyiUDA72UlKSsLJyXTC5a+//prOnTvTpEkTTp8+bfXghCi0ZCSWKOiCZb4dkXfMTnYqVKjA/v37M+2fOXMmXbp0oXPnzlYNTIhCK10PMfcHAUjLjiioMiYXvCotOyL3mZ3sdOvWjSVLlmT53qxZs+jduzeKolh08ilTplCnTh08PT3x9/ena9eunDp1yqSMoihMnDiR4OBgXF1dadq0KcePHzcpk5KSwvDhwylatCju7u507tyZK1euWBSLEHbjxilITwWdF/iUsnU0QuQOadkRecjsZGfcuHGsWbMm2/e/+eYbDAaDRSfftm0bw4YNY/fu3WzYsIG0tDRat27NvXsPZtWcPn06X3zxBbNmzWLfvn0EBgbSqlUr7t69aywzYsQIfvvtN5YuXcqOHTtISEigY8eOpKenWxSPEHYho79OYDg4yFRYooAKqgoaB7gbBfFRjy8vxFMwe9Xz3LB27VqT13PnzsXf358DBw7w3HPPoSgKM2bMYPz48XTv3h2A+fPnExAQwOLFi3nttdeIi4vjhx9+YOHChbRs2RKARYsWERISwsaNG2nTpk2eX5cQT0X664jCwNkdilWEmONq645XB1tHJAowi5Kdw4cP8/nnn7Njxw6ioqJwdHQkLCyMrl278s477+Dl9XSLFcbFxQHg5+cHQGRkJNHR0bRu3dpYRqfT0aRJE3bu3Mlrr73GgQMH0Ov1JmWCg4OpUqUKO3fuzDLZSUlJISUlxfg6Pj4eAL1ej16vf6prsGcZ11aQr/FJ2Fu9OEYdwgFI86+MYuOY7K1u7IXUS9YsrRfHoOo4xBwn/fJ+DGVaP/4D+Zh8Z7L2tPVi7ufMTnbWrVtHt27daNOmDfXr1+f3339n4MCBuLu7s3TpUpYsWcKOHTsIDAx8ooAVRWHkyJE8++yzVKlSBYDo6GgAAgJMJ1ULCAjg4sWLxjLOzs74+vpmKpPx+UdNmTKFSZMmZdq/fv163Nzcnij+/GTDhg22DsEu2UW9KAbaX1GTnb/P3CH+Sva3jvOSXdSNHZJ6yZq59VLqtpZqwK0j69mVWD1XY7IX8p3J2pPWS2JiolnlzE523n33Xb744gtef/11Y2BvvvkmERERfPzxx7Rr145x48Yxd+7cJwr4jTfe4MiRI+zYsSPTexqNxuS1oiiZ9j0qpzLjxo1j5MiRxtfx8fGEhITQunXrp26dsmd6vZ4NGzbQqlUrtFqtrcOxG3ZVL7GRaA8loTjqeLbrYHC0bTx2VTd2ROolaxbXS1Qw/DiPYmlXad+uHTzm3/X8TL4zWXvaesm4M/M4Zic7J0+epG3btsbXLVu25Ny5c0RFRREUFMSECRPo0aOHxYECDB8+nD/++IPt27dTokQJ4/6MVqLo6GiCgoKM+2NiYoytPYGBgaSmphIbG2vSuhMTE0PDhg2zPJ9Op0On02Xar9VqC8WXsLBcp6Xsol5uqEPONf4V0brYTyujXdSNHZJ6yZrZ9RJcDRyd0STFok248mCiwQJMvjNZe9J6MfczZg/1KF68uMmw8HPnzmEwGChSpAgAJUqUICEhwaIgFUXhjTfe4Ndff2Xz5s2EhYWZvB8WFkZgYKBJ81Zqairbtm0zJjK1atVCq9WalImKiuLYsWPZJjtC5Lq4KxB9zPLPyczJojBxclZHHYKskyVyldktO/369eOVV15h/Pjx6HQ6vvjiCzp37oyzszMAhw4dypSsPM6wYcNYvHgxv//+O56ensY+Nt7e3ri6uqLRaBgxYgSTJ0+mXLlylCtXjsmTJ+Pm5kafPn2MZQcPHsyoUaMoUqQIfn5+jB49mvDwcOPoLCFynaKoEwGeXAMnV0HUIXV/vz+gdBPzj3PhH/U5qJrVQxTCLgXXhKsH1GUjwnvaOhpRQJmd7Lz33nvcu3ePjz/+mJSUFNq0acNXX31lfL948eLMnj3bopNnlG/atKnJ/rlz5zJgwAAAxowZQ1JSEkOHDiU2NpZ69eqxfv16PD09jeW//PJLnJyc6NWrF0lJSbRo0YJ58+bh6OhoUTxCWMRggMu74eRqNcGJvZC5zP4fzE92bp1Tj6dxgGdkGK4oJIrXhH1Iy47IVWYnO05OTkybNo1p06Zl+X7dunUtPrk5My5rNBomTpzIxIkTsy3j4uLCzJkzmTlzpsUxCPHEfh8Khx+aVdxRB2WaQYUO4B0CC7vCqb/UVZ3d/B5/vIxjlWkBXkE5lxWioMiYSTnqMBjSwUH+kyqs74kmFUxPT+fmzZs4OjpStGhRa8ckhP2LiVCTE40DhPdSE5wyzUHn8aBMYFW1D87Rn6Heazkfz2CAQ/eTnep9ci9uIexN0XLg7AGpCepSKQGV1P2p99R+b9FH4HYk1OwL/hVtG6vItyxKdlavXs20adPYu3evcSIfT09POnXqxH/+8x9KliyZK0EKYXf2zFGfK3SA7t9mXaZGX/jrHfh34eOTnQvbIf4KuHjDM+2tG6sQ9szBEYKqw8UdsP1T9XXUEbh5Gnio9T/6CAxYZasoRT5n9mishQsX0rt3b2rVqsXbb79NsWLFGDNmDFOnTuXy5cvUqlWLM2fO5GasQtiHxNtweJm6XW9I9uXCe4KjM0QffbAERHYOLVafq/QErYt14hQivyheQ30+/qvaEnrzFKCAR6B6Wxfg4j/q754QT8Dslp3Jkyfzv//9jxdeeAGAHj160K1bNy5dusTrr7/Oiy++yNixY/n1119zLVgh7MLB+ZCWpA6ZDc1hegM3P7WV5sRKOPRT9sPJk+PhxB/qdvWXrB6uEHav1kC4+i+4+aojEYOqq7eBPe/Pnj/7Wbh+FE6vldu84omY3bJz8eJF6tWrZ3xdu3ZtoqOjiYpSV6sdOXIkW7ZssX6EQtiTdD3s/Z+6XX/o42d8rdFXfT6yHNJSsi5zYqWaPBV9Rh2ZIkRhU6QMDFwNLyyC596Bcq0eJDqg3i4GiJDbWOLJmJ3slCpViv379xtfHzx4EAcHB+NMxn5+frLAmSj4Iv6E+KvgXgyqmDFjeJlm4BkMSbfVkVlZybiFVb13gZ4uX4gnlpHsnNsMqeathSTEw8y+jTVs2DBeeeUV9u3bh4uLC99//z19+/Y1zmWzZ88eypcvn2uBCmEXMjom1x4MTpmXHMnEwRGqvQg7vlBvZVXuavr+rXNwaZc6qqvqC1YPV4gCITAcfErCnUtwbhNU7GTriEQ+Y3bLzrBhw5gyZQo7duxg9erVDBgwgFmzZhnfr1u3LosXL86VIIWwC1cPwOU94KCF2oPM/1yNl9XnsxshPsr0PePcOs3BK9g6cQpR0Gg0UKGjun1ytW1jEfmSRUPPhwwZwpAhWY8+KVeunFUCEsJu7b7fqlOlh2l/gscpUgZKNlBbcA4vgcYj1f0yt44Q5qvQEXZ/o94OTk8DxyeaJk4UUma37AhRqMVHqcNiAeq/bvnnM0ZZHfpJXUcLHsyto/OW5SGEeJyS9cGtCCTfUYehC2EBqyU7hw8flrWoRMG1/wcwpKktNME1LP985a6gdYdbZ+HyXnVfRsfk8B4yt44Qj+PgCM+0U7flVpawkFVbdsxZ60qIfEefDPt/VLfr5zCJYE50ng86J/+7UObWEeJJPNxvR/7eCAuYfdOze/fuOb4fFxeHRobNioLo6M+QeEtd3PNpbjdVf0m9jXX8Nwiocn9unfJQvJb1YhWiICvdVG0hjb8CUYeerJVVFEpmt+z8+eefJCcn4+3tneXDw8Pj8QcRIr9RlAfDzeu++nSdIkMbgl9pdcHDjRPVfdX7yNw6QphL6wpl7y8fIbeyhAXM/pe7YsWK9OjRg8GDB2f5/qFDh1i1Sma3FAXMhb/h+jHQukHNfk93LI1GTW42f6K26sjcOkJYrkJHiPhDnU25+fu2jkbkE2a37NSqVYuDBw9m+75Op5NVz0XBcucybJykblfrDa6+T3/Mar2B+y05MreOEJYr3xocnOBGhDoppxBmMLtlZ86cOaSnp2f7fsWKFYmMjLRKUELYVFoq7P4atk0HfSI4uarrYFmDdwl16vuTqyybmFAIoXL1hVLPwvmt6q2sRm/aOiKRD5id7Oh0ZkyNL0R+F7kdVo+Gm6fU1yUbQofPoGhZ652j2xx1CLp0rhTiyVToeD/ZWSXJjjCLTCooBKDT38Fx5f/B/E5qouNeDLrOgYFrIKCylU/mKYmOEE/jmfbq8+W9cPe6bWMR+YIkO6LQ0xxZSosTY3A4/qvaabjOq/DGflmFXAh75V0cgmsCCpz+y9bRiHxAkh1RuF07hOOqt9AakjEE14RXt6i3rVx9bB2ZECInFe9PMBgho4DF45mV7Bw5cgSDwZDbsQiRt9L18McbaJR0rvrUIX3AWgiubuuohBDmyJhNOXKbOiO5EDkwK9mpUaMGN2/eBKB06dLcunUrV4MSIk/s/C9EH0Vx9eVoiX7qLSwhRP5Q7BkoUg7SU+HsRltHI+ycWf+6+/j4GIeVX7hwQVp5RP538wxsnQZAestPSNF62zggIYTFKtxfviXiT9vGIeyeWUPPe/ToQZMmTQgKCkKj0VC7du1sVzg/f/68VQMUwuoMBvhjOKSnQJkWKOG94Ip0chQi36nUGf6ZAafXQuo9cHa3dUTCTpmV7Hz33Xd0796ds2fP8uabb/Lqq6/i6emZ27EJkTsO/AiXdqkLCnaaISOuhMivgmuCbxjERqoJT5Ueto5I2CmzJxVs27YtAAcOHOCtt96SZEfkT3FXYMNEdbvlBPApCXq9TUMSQjwhjUZNcP7+DI6ukGRHZMviHplz5841JjpXrlzh6tWrVg9KiFyhKLBqJKTehRJ1oc4rto5ICPG0MhKcsxsg6Y5NQxH2y+Jkx2Aw8NFHH+Ht7U1oaCglS5bEx8eHjz/+WDoui9x39SBcOfBknz22As6sA0dn6DwTHLLudyaEyEcCKoF/JXVU1kmZc0dkzezbWBnGjx/PDz/8wNSpU2nUqBGKovDPP/8wceJEkpOT+c9//pMbcQoBx3+DXwaBYoBaA6H1J6DzMO+z927BX2PU7efeAf8KuRenECJvVekOm0+o/6Gp8bKtoxF2yOJkZ/78+Xz//fd07tzZuK9atWoUL16coUOHSrIjcseptbDiFTXRATgwF85vUdevCm2Q82dvnYM170DiLfCvDI1G5Hq4Qog8VKUHbP4Ezm+DhBvgUczWEQk7Y/FtrNu3b1OhQub/FVeoUIHbt29bJSghTJzbAsv7gSENwp+Hfr+DdwjEXoC57WD9B6BPNv2MosDFnbCkD8ysBec2gcYRuswEJ2ebXIYQIpf4lVZHZinpcGKlraMRdsjiZKdatWrMmjUr0/5Zs2ZRrVo1qwQlhNHFXbC0jzonToWO0HU2lG4KQ/6B6i8DijoT8ndNIeowpKepTdn/a64mQqdWq2XKt4VBa6F4LdtejxAid2R0VD72q23jEHbJ4ttY06dPp0OHDmzcuJEGDRqg0WjYuXMnly9fZs2aNbkRoyisrh6Exb1AnwhlW0LPH8FRq77n4g1dv1ZnUP3zTbgRoSY4HgEQf3+EoKNOXbm8/jAoVt521yGEyH1VusP69+HSTnWKCe8Sto5I2BGLW3aaNGnC6dOn6datG3fu3OH27dt0796dU6dO0bhx49yIURRG14/Dou6QEg+hz0KvheCky1yuQnsYuhsqdlJvc8VfBbci0ORdePs4dPpKEh0hCgOvYAhtqG4f/822sQi7Y3HLDkBwcLB0RBa55+ZZWNAVkmKhRB3osxSc3bIv715UTYZOrVFXP67cFbSueRWtEMJeVOkBF/+Bo79Aw+G2jkbYEVnmWdgXfTIs7Ab3YiAwHF76BXRmzNat0ai3tKr3lkRHiMKqUhd1IELUIXUUphD3SbIj7MuFvyHuErj7Q9+V4Opj64iEEPmFe1Eo00zdPrbCtrEIuyLJjrAvp9epzxU6qP9wCSGEJTJGZR39RZ2CQggk2RH2RFEeJDvl29g2FiFE/lShgzoS8+YpiDlh62iEnbA42UlKSiIxMdH4+uLFi8yYMYP169dbNTBRCN04qd7CcnKBsCa2jkYIkR+5eEO5Vur20V9sG4uwGxYnO126dGHBggUA3Llzh3r16vH555/TpUsXZs+ebfUARSGS0apTqnHOo6+EECInxgkGV8itLAE8QbJz8OBB43w6v/zyCwEBAVy8eJEFCxbw3//+1+oBikJEbmEJIayhfFvQusOdi3D1gK2jEXbA4mQnMTERT091KPD69evp3r07Dg4O1K9fn4sXL1o9QFFIJMXC5T3qdrnWto1FCJG/ObupE44C7P4G0lJtG4+wOYuTnbJly7Jy5UouX77MunXraN1a/cMUExODl5eX1QMUhcTZTeoifsUqgm+oraMRQuR31V9Sn4+tgO+awOV9to1H2JTFyc6HH37I6NGjKVWqFPXq1aNBgwaA2spTo0YNi461fft2OnXqRHBwMBqNhpUrV5q8P2DAADQajcmjfv36JmVSUlIYPnw4RYsWxd3dnc6dO3PlyhVLL0vYmvEWlrTqCCGsoEwz6PGDunxMzAn4oRWseQdS7to6MmEDFic7PXv25NKlS+zfv5+1a9ca97do0YIvv/zSomPdu3cv21XUM7Rt25aoqCjj49HFRkeMGMFvv/3G0qVL2bFjBwkJCXTs2JH09HTLLkzYjiEdzm5Ut8u3tW0sQoiCI7wnvLEfqvUBFNj7HXxdD079ZevIRB57orWxAgMDCQwMNNlXt25di4/Trl072rVrl2MZnU6X6VwZ4uLi+OGHH1i4cCEtW7YEYNGiRYSEhLBx40batJGOrvnClf2QdBtcfKCE5d8jIYTIlpsfdJsNVZ+HVW9D7AVY8iJU6gp1XwW3ouoEpq6+4OBo62hFLjEr2enevbvZB/z111+fOJisbN26FX9/f3x8fGjSpAn/+c9/8Pf3B+DAgQPo9XpjvyFQFymtUqUKO3fuzDbZSUlJISUlxfg6Pj4eAL1ej16vt2r89iTj2uztGh1O/oUjYCjdjHSDAoa8jc9e68UeSN1kTeola3ZdLyUbw6vbcfj7Uxx2f4PmxEo4sdL4toJGTXjciqC4FUEp2RBDrUHgmfV/ti1l13VjQ09bL+Z+zqxkx9vb27itKAq//fYb3t7e1K5dG1CTjjt37liUFJmjXbt2PP/884SGhhIZGckHH3xA8+bNOXDgADqdjujoaJydnfH19TX5XEBAANHR0dked8qUKUyaNCnT/vXr1+PmVvDnd9mwYYOtQzDRNOIXvIF/7/lz5ZHblHnJ3urFnkjdZE3qJWv2XS918C4/gQpRK/BIuY5z2l2c0++hQVFbmJNuo7l1Bi7vhp3/5YpvA875t+OuawmrnN2+68Z2nrReHp7kOCdmJTtz5841bo8dO5ZevXoxZ84cHB3VJr/09HSGDh1q9dFYL7zwgnG7SpUq1K5dm9DQUFavXp1jYqUoChqNJtv3x40bx8iRI42v4+PjCQkJoXXr1gV6RJler2fDhg20atUKrVZr63BU8VfR/nsZReNA1e4jqepWJM9DsMt6sRNSN1mTesla/qqXocYtfbpenf4i8RaaxJsQdwWHQwtxvLKX0Nt/E3r7bwxlWmKoPxQltDHk8PclO/mrbvLO09ZLxp2Zx7G4z86PP/7Ijh07jIkOgKOjIyNHjqRhw4Z8+umnlh7SbEFBQYSGhnLmzBlA7TuUmppKbGysSetOTEwMDRs2zPY4Op0OnU6Xab9Wqy0UX0K7us7IzQBoStRB622d5uInZVf1YmekbrIm9ZK1fFcvWi24uIFv8Qf7aveDS3tg10yIWIXDuY04nNsIgVWh3XQIbfCEp8pndZNHnrRezP2MxaOx0tLSiIiIyLQ/IiICg8Fg6eEscuvWLS5fvkxQUBAAtWrVQqvVmjR/RUVFcezYsRyTHWFHMoacy0SCQgh7U7IevLAIhh+AOq+CkytEH4FlL6ujSEW+YXHLzsCBAxk0aBBnz541znmze/dupk6dysCBAy06VkJCAmfPnjW+joyM5NChQ/j5+eHn58fEiRPp0aMHQUFBXLhwgffee4+iRYvSrVs3QO1LNHjwYEaNGkWRIkXw8/Nj9OjRhIeHG0dnCTumT4Lz29RtGXIuhLBXRcpAh8+g2XvwVTVIvKkmPcGWzS0nbMfiZOezzz4jMDCQL7/8kqioKEC9vTRmzBhGjRpl0bH2799Ps2bNjK8z+tH079+f2bNnc/ToURYsWMCdO3cICgqiWbNmLFu2zLhcBcCXX36Jk5MTvXr1IikpiRYtWjBv3jyT22zCTl3YAWlJ4FUcAirbOhohhMiZmx+UehZOrYHzWyXZyUcsTnYcHBwYM2YMY8aMMXYMetJOvU2bNkXJYUXadevWPfYYLi4uzJw5k5kzZz5RDMKGTt+flLJc6yfq8CeEEHmudNMHyc6zb9s6GmGmJ5pUMENBHrkkcpmiwOn16rasci6EyC9KN1WfL+5Sb8VrXW0ajjCPxR2Ur1+/Tt++fQkODsbJyQlHR0eThxBmuXES4i6BkwuENbF1NEIIYZ6i5cEzCNJT4PIeW0cjzGRxy86AAQO4dOkSH3zwAUFBQTnOZyNEtjJuYZVqDM4FfyJHIUQBodGorTuHl8C5LQ9aeoRdszjZ2bFjB3///TfVq1fPhXBEoSG3sIQQ+VVGsnN+q60jEWay+DZWSEhIjp2KhXisG6ceNP/K/DpCiPwmozUn6jAk3rZpKMI8Fic7M2bM4N133+XChQu5EI4o8O5eh596gpIOYc+Bb6itIxJCCMt4BkKxioACkdttHY0wg8W3sV544QUSExMpU6YMbm5umaZqvn1bslyRjdR7sLgX3LkEfqWh59zHf0YIIexR6aZwI0K9lVW5q42DEY9jcbIzY8aMXAhDFHjpafDLIIg6BG5F4KVfwL2oraMSQognU7op7Jkt/XbyCYuTnf79++dGHKIgUxT4a4w6AsvJBXovVadfF0KI/KpUI9A4QmwkxF4A31K2jkjkwOI+Ow9LSkoiPj7e5CFEJv98Bft/ADTQ43sIqWvriIQQ4unoPKFEHXU7Y42/nCTexik9MXdjEtmyONm5d+8eb7zxBv7+/nh4eODr62vyEMLE0V9g4wR1u+1UqNjJtvEIIYS1ZIzKetytrLirOM2pR9OT70NqQm5HJbJgcbIzZswYNm/ezDfffINOp+P7779n0qRJBAcHs2DBgtyIUeRXF/6BlUPU7frDoP7rto1HCCGsKSPZidwGBkP25TZOQJMUi3vqTRz2zMmT0IQpi5OdP//8k2+++YaePXvi5ORE48aNef/995k8eTI//fRTbsQo8qP4KFjaB9JToWJnaP2JrSMSQgjrKlEbnD0g8RZcP5p1mUu74ejPxpcOu2fBvZt5FKDIYHGyc/v2bcLCwgB1IdCMoebPPvss27fLfAPivs2fQPIdCKoO3b8Dh6fqHiaEEPbHUQulnlW3s7qVZTCogzMAQ7WXuOMaiiY1Af7+PO9iFMATJDulS5c2TihYqVIlli9fDqgtPj4+PtaMTeRXUUfg0P1Wvg6fy6rAQoiCK6d+O4cWqbMs67xIb/Y+J4JfUPfv+16db0zkGYuTnYEDB3L48GEAxo0bZ+y78/bbb/POO+9YPUCRzygKrB8PKFClp9rMK4QQBVVGsnNxF+iTH+xPjoNNH6nbTcaCezFueFXBUOo59fb+lsl5HmphZvE8O2+//bZxu1mzZpw8eZL9+/dTpkwZqlWrZtXgRD50eq06fbqjDlpOsHU0QgiRu4pVAI8ASLgOV/aqy+AAbJsO925AkXJQ9//g/pKShmYf4DC3FRxeCg2HQ0Bl28VeiDx1R4qSJUvSvHlzSXQEpOth/QfqdoOh4FPStvEIIURu02gy38q6eQYyRl21nQJOzsbiSnANqNQVUGDjpDwMtHCzONmZNm0ay5YtM77u1asXRYoUoXjx4sbbW6KQ2j8Xbp0Bt6Lw7EhbRyOEEHnj0WRn3XtgSINyraFcq8zlm3+gzr58Zh1c3JnzsVMTIeWuNaMtlCxOdr799ltCQkIA2LBhAxs2bOCvv/6iXbt20menMEu6A1unqNvN3gMXL5uGI4QQeSasifp87V848jOcWQ8OTtBmStbli5aFmv3U7Q0T1L6Oj0pPgz3fwRcV4bNn7o9wjcud+AsBi5OdqKgoY7KzatUqevXqRevWrRkzZgz79u2zeoAin/j7M0i6rd6/rinrpwkhChHv4lC0PCgG+H2Yuq/e62pSk50mY8HJVe3nc2qN6Xvnt8KcZ+Gvd9QpPPT3YPun8FV12DnLtCO0MIvFyY6vry+XL18GYO3atbRs2RIARVFIT0+3bnQif7h9HvZ8q263/gQcLe73LoQQ+VvpZupzegq4F4MmY3Iu7xUE9e/PML/pI7Ul53YkLH0JFnSBGxHg6qtO39FrgdrROem2Otp1Zi34d5H6GWEWi5Od7t2706dPH1q1asWtW7do164dAIcOHaJs2RyyWFFwbZyoDqUs3QzKtrR1NEIIkfcy+u0AtPgQXLwf/5lGb6kJzY2TsLQ3fF0XTq5S+/PUfQ2GH4Q6r0ClLjB0N3SeCV7FIf6K2oI0uyGcWptrl1SQWJzsfPnll7zxxhtUqlSJDRs24OHhAai3t4YOHWr1AIWdu7QbTvwOGgdo8x91ZIIQQhQ2pZtAQBW1U3L1l837jKsPNB6lbp9Zf/8/jU1hyD/Qfjq4+T0o6+ik9vMZfgBafQwuPnDzFCx5AbZMybrfjzCy+H6DVqtl9OjRmfaPGDHCGvGI/MRgUEcdANToK/NFCCEKL2d3NUmxVJ1X4cQfkBKvtgg90z7n/zRqXaHRm2ris3Uq7JkN26ZC3GXoOMNkmLt4wOJk53Erm/fr1++JgxH5zKWdcPUAaN2h2XhbRyOEEPmP1gVe2WD551x9oN1UKPYMrB6lLtETf1Xt32POLbRCxuJk56233jJ5rdfrSUxMxNnZGTc3N0l2CpNzm9XnCh3AM8C2sQghRGFUeyB4l4Dl/dVRXD+2g5d+VkeICSOL++zExsaaPBISEjh16hTPPvssS5YsyY0Yhb06t0V9LtPMtnEIIURhVq4VDFyjLlsRcxy+bwHRR20dlV156uUiAMqVK8fUqVMztfqIAiwpVp1AC0xHIQghhMh7wdXhlY3qXGd3o9QWnrObbB2V3bBKsgPg6OjItWvXrHU4Ye8itwMKFH0GvIJtHY0QQgifkjBoHZRqDKl3YXEvtfOzsLzPzh9/mFacoihERUUxa9YsGjVqZLXAhJ3LWANGWnWEEMJ+uPrAy7/CyiFw7Bf4ZSD0nAuVOts6MpuyONnp2rWryWuNRkOxYsVo3rw5n3/+ubXiEvZO+usIIYR9cnKG7t+p858dXS4JD0+Q7BgMhtyIQ+QnsRcgNlKd5TNUWvOEEMLuODhCtznqnD1Hlt1PeH5UZ2MuhJ6qz46iKCgya2Phk3ELq0QdWd1cCCHslYMjdJ0NVV8AQxr8Mkid8b4QeqJkZ8GCBYSHh+Pq6oqrqytVq1Zl4cKF1o5N2CvpryOEEPmDJDzAEyQ7X3zxBUOGDKF9+/YsX76cZcuW0bZtW15//XW+/PLL3IhR2BODAc5vU7elv44QQtg/Y8LzYqFNeCzuszNz5kxmz55tMlNyly5dqFy5MhMnTuTtt9+2aoDCzkQfgaTb4OwJxWvZOhohhBDmcHCErt+o20eWqgnPwLUQUse2ceURi1t2oqKiaNiwYab9DRs2JCoqyipBCTt2/v4orFLPgqPWtrEIIYQwX0bCU6mL2sLz22uQmmjrqPKExclO2bJlWb58eab9y5Yto1y5clYJStgx6a8jhBD5l4MjdPoveAbD7XOwcYKtI8oTFt/GmjRpEi+88ALbt2+nUaNGaDQaduzYwaZNm7JMgkQBok+Ci7vUbemvI4QQ+ZOrD3SZBYu6w97v1MWcC/h/YC1u2enRowd79uyhaNGirFy5kl9//ZWiRYuyd+9eunXrlhsxCntxaTekp4BnEBQtb+tohBBCPKmyLaDOK+r2ymGQHGfbeHKZxS07ALVq1WLRokXWjkXYu4z+OqWbqRNVCSGEyL9afQTnNsPt8/DXu9Bttq0jyjVPlOwYDAbOnj1LTExMphmVn3vuOasEJuyQ9NcRQoiCw9kdus6BuW3h8GL1dlbFjraOKldYnOzs3r2bPn36cPHixUyzJ2s0GtLT060WnLAj925B1BF1W5IdIYQoGErWg0ZvwY4v4c+3IKQeeBSzdVRWZ3Gfnddff53atWtz7Ngxbt++TWxsrPFx+/Zti461fft2OnXqRHBwMBqNhpUrV5q8rygKEydOJDg4GFdXV5o2bcrx48dNyqSkpDB8+HCKFi2Ku7s7nTt35sqVK5ZelnicyG2AAv6VwDPA1tEIIYSwlqbjIKAKJN6EVSOgAC4DZXGyc+bMGSZPnkzFihXx8fHB29vb5GGJe/fuUa1aNWbNmpXl+9OnT+eLL75g1qxZ7Nu3j8DAQFq1asXdu3eNZUaMGMFvv/3G0qVL2bFjBwkJCXTs2FFamKzt4f46QgghCg4nnbpoqIMWTq6Cw0ttHZHVWZzs1KtXj7Nnz1rl5O3ateOTTz6he/fumd5TFIUZM2Ywfvx4unfvTpUqVZg/fz6JiYksXrwYgLi4OH744Qc+//xzWrZsSY0aNVi0aBFHjx5l48aNVolRoGb557aq23ILSwghCp7AcGg2Tt3+awxEH7VtPFZmVp+dI0eOGLeHDx/OqFGjiI6OJjw8HK3WdBbdqlWrWiWwyMhIoqOjad26tXGfTqejSZMm7Ny5k9dee40DBw6g1+tNygQHB1OlShV27txJmzZtrBJLoRcbCXGX1Kw/NPPs2UIIIQqAhm/B6XVweQ/82A5e/AlKN7F1VFZhVrJTvXp1NBqNSYfkQYMGGbcz3rNmB+Xo6GgAAgJM+4cEBARw8eJFYxlnZ2d8fX0zlcn4fFZSUlJISUkxvo6PjwdAr9ej1+utEr89yrg2S6/R4fRGHAFDidqkO+iggNXRk9ZLYSB1kzWpl6xJvWQv39RNr8U4/twXh0s7URb1IL3zLJTKPXLtdE9bL+Z+zqxkJzIy8omCsAbNI/O5ZCRVOXlcmSlTpjBp0qRM+9evX4+bm9uTBZqPbNiwwaLydSKXEwyc0gdzes2a3AnKDlhaL4WJ1E3WpF6yJvWSvfxQNw6+g6gZn0bxO3txWvkax/Zu5VxAu1w955PWS2KieWt7mZXshIaGMmjQIL766is8PT2fKCBLBQYGAmrrTVBQkHF/TEyMsbUnMDCQ1NRUYmNjTVp3YmJislysNMO4ceMYOXKk8XV8fDwhISG0bt0aLy8va1+K3dDr9WzYsIFWrVpluv2YJUM6pMTjFPEmAOXavErZ4rVzOcq8Z3G9FCJSN1mTesma1Ev28l3dKJ1J3/ABjvu+pcq1JVQs4Y2h5Uegsbirb46etl4y7sw8jtnz7MyfP5+pU6fmWbITFhZGYGAgGzZsoEaNGgCkpqaybds2pk2bBqgzOWu1WjZs2ECvXr0AdVX2Y8eOMX369GyPrdPp0Ol0mfZrtdr88SV8SibXmZoIZ9bByTVwNwqS70BSnDp1eMpD04frvHEKqQOOTzQPZb5QWH7+T0LqJmtSL1mTeslevqqb9tPApwRs+ADHvXNwvHcdun2rjt6ysietF3M/Y/ZfrkcnELSGhIQEk5FdkZGRHDp0CD8/P0qWLMmIESOYPHky5cqVo1y5ckyePBk3Nzf69OkDgLe3N4MHD2bUqFEUKVIEPz8/Ro8eTXh4OC1btrR6vAVGeiqc3wTHVsCpNZCakHN5rTs0fKNAJzpCCCEeodFAozfV9RBXDoHjv8G9m9BnOTjnry4fFv31elxfGUvt37+fZs0ezNuScWupf//+zJs3jzFjxpCUlMTQoUOJjY2lXr16rF+/3qR16csvv8TJyYlevXqRlJREixYtmDdvHo6OjlaNNd9IioWkO2BIg3Q9GPSQngbpqWju3aLapR9x+uottVwG75JQpRsEVgUXH3VFXBcfcPFWH07OtrkWIYQQtlf1eXVW5aUvw4W/Yft0aDnR1lFZxKJkp3z58o9NeCyZRblp06Y5thhpNBomTpzIxIkTsy3j4uLCzJkzmTlzptnnLbDOb4OFXUExZPm2E1Aq44VHAFTuBlV6QIk6srCnEEKI7JVuCt2/haV9YNfXUKMvFClj66jMZlGyM2nSJItnSRZ56OB8NdFx1IHWRZ0Xx1F7/9kJxdGZi4YASrR9C6cyTcGhkLZ+CSGEsNwz7aFMCzi3CdaOg5eW2zois1mU7Lz44ov4+/vnViziaeiT1cmgAAaugRKZR02l6fUcXrOG4qWek0RHCCGEZTQaaDcNvmmgDmw5vQ7K54/Je80eQ2bt/jrCys5vUTsaexWH4Jq2jkYIIURBVLQc1B+ibq99F9JSci5vJ8xOdnJjNJawohN/qM8VO4GDdedBEEIIIYyajAGPQLh9HnZlvZC3vTH7r6LBYJBbWPYqXa8OIQeo2Nm2sQghhCjYdJ7Q6iN1e/tnEHfVtvGYQZoACoLI7epkgO7FoGR9W0cjhBCioKvaC0Lqgz4RNnxg62geS5KdgiDi/i2sCh2l47EQQojcp9FA++mARp2g9sIOW0eUI0l28jtDOpxcrW5XkltYQggh8khQNag9UN1eM0adwNZOSbKT313aBfduqDMel2ps62iEEEIUJs0/AFdfiDkO+3+0dTTZkmQnv8sYhVWhgzqBoBBCCJFX3Pyg+fvq9pZP1LWz7JAkO/mZwQARf6rbMgpLCCGELdQaCIHhkBwHGyfaOposSbKTn109AHevgbMnlGn2+PJCCCGEtTk4QvvP1O1/F8LlfbaNJwuS7ORnEb+rz+XbgJPOtrEIIYQovErWh+ovqdurR6qDZ+yIJDv5laI86K8jo7CEEELYWstJ4OIN0UfsrrOyJDv5VfQRuHMRnFyhbEtbRyOEEKKw8yimjs4C2PQxJNywbTwPkWQnv8po1SnXEpzdbRuLEEIIAVB7kDr/TkocbJxg62iMJNnJrzJmTa7YxbZxCCGEEBkcHKHDF+r2oZ/g0m7bxnOfJDv5UcxJuHkaHJ3VzslCCCGEvShRG2r2U7dXj7KLmZUl2cmPMlp1SjcDFy/bxiKEEEI8qsVEdWbl68dg3/e2jkaSnXxJRmEJIYSwZ+5FoMX9Pjtb/gN3o20ajiQ7+c3t83D9KGgc4Zn2to5GCCGEyFrNfhBcE1LiYcOHNg1Fkp385sjP6nNYY3VNEiGEEMIeOThCh88ADRxZBhf+sV0oNjuzsJw+GfZ+p27X6GvbWIQQQojHKV4Lag0ANHDFdstIONnszMJyR5ZC4k3wDoFKMuRcCCFEPtDiQ6jVH4Jr2CwESXbyC4MBdn2tbtcfAo5a28YjhBBCmMPNz+bdLuQ2Vn5xZr06t47O+8H8BUIIIYR4LEl28oudM9Xn2gNA52nTUIQQQoj8RJKd/ODqAbi4AxycoN7rto5GCCGEyFck2ckPds5Sn6v0BK9g28YihBBC5DOS7Ni72ItwYqW63fANm4YihBBC5EeS7Ni7PXNAMajrYAWG2zoaIYQQIt+RZMeeJcXCgfnqdsPhto1FCCGEyKck2bFnB+aB/h74V4YyzW0djRBCCJEvSbJjr9JSYfccdbvhcNBobBuPEEIIkU9JsmOvjv0CCdHgGQRVetg6GiGEECLfkmTHHinKg+Hm9V4DJ2fbxiOEEELkY5Ls2KNzmyDmODh7QK2Bto5GCCGEyNck2bE3BgNs+kjdrtkPXH1sGo4QQgiR30myY2+OLIOow6DzgsajbB2NEEIIke9JsmNPUu89aNVpPArci9o2HiGEEKIAkGTHnuycBXevgU9JWfBTCCGEsBJJduxFfBT8M0PdbjkJtC42DUcIIYQoKCTZsRdbPgF9IpSoC5W72ToaIYQQosCQZMceRB2Bf39St9tMltmShRBCCCuSZMfWFAXWjwcUdabkkDq2jkgIIYQoUOw62Zk4cSIajcbkERgYaHxfURQmTpxIcHAwrq6uNG3alOPHj9sw4idweh1EbgdHHbSYYOtohBBCiALHrpMdgMqVKxMVFWV8HD161Pje9OnT+eKLL5g1axb79u0jMDCQVq1acffuXRtGbIF0Pax/X92uPwR8Q20bjxBCCFEA2X2y4+TkRGBgoPFRrFgxQG3VmTFjBuPHj6d79+5UqVKF+fPnk5iYyOLFi20ctZkOzINbZ8CtCDQeaetohBBCiALJ7pOdM2fOEBwcTFhYGC+++CLnz58HIDIykujoaFq3bm0sq9PpaNKkCTt37rRVuOZLugNbJqvbzd4DF2+bhiOEEEIUVE62DiAn9erVY8GCBZQvX57r16/zySef0LBhQ44fP050dDQAAQEBJp8JCAjg4sWLOR43JSWFlJQU4+v4+HgA9Ho9er3eyleRNYetU3FMuo1StDxpVV+CPDhvxrXl1TXmF1Iv2ZO6yZrUS9akXrIndZO1p60Xcz+nURRFeaIz2MC9e/coU6YMY8aMoX79+jRq1Ihr164RFBRkLPPqq69y+fJl1q5dm+1xJk6cyKRJkzLtX7x4MW5ubrkS+8M8kq/RLGI8DqSzq8xoYryq5vo5hRBCiIImMTGRPn36EBcXh5eXV7bl7Lpl51Hu7u6Eh4dz5swZunbtCkB0dLRJshMTE5OptedR48aNY+TIB31k4uPjCQkJoXXr1jlWllUoCo5Le+FAOoZybajd693cPd9D9Ho9GzZsoFWrVmi12jw7r72Tesme1E3WpF6yJvWSPambrD1tvWTcmXmcfJXspKSkEBERQePGjQkLCyMwMJANGzZQo0YNAFJTU9m2bRvTpk3L8Tg6nQ6dTpdpv1arzf0v4ck1cH4LODrj0HYKDjb40ufJdeZDUi/Zk7rJmtRL1qResid1k7UnrRdzP2PXyc7o0aPp1KkTJUuWJCYmhk8++YT4+Hj69++PRqNhxIgRTJ48mXLlylGuXDkmT56Mm5sbffr0sXXoWdMnw7px6naDN6BIGdvGI4QQQhQCdp3sXLlyhd69e3Pz5k2KFStG/fr12b17N6Gh6nw0Y8aMISkpiaFDhxIbG0u9evVYv349np6eNo48G7tmQewF8AyCxqNsHY0QQghRKNh1srN06dIc39doNEycOJGJEyfmTUBPI+4q/P25ut3qY9B52DYeIYQQopCw+3l2CoyNE9RVzUPqQ3hPW0cjhBBCFBqS7OSFi7vg6M+ABtpNk1XNhRBCiDwkyU5uM6TDX++o27X6Q3B1m4YjhBBCFDZ23WenQDg4H6KPqstBNP/A1tEIIeyIoijoDXoS9YkkpSXh7OhMEdciZn/2yM0jrDm/hrN3zlLEtQiB7oEEugUS6B5IgHsAgW6B+Ln4oZHWZFHISbKTmxJvw6aP1e1m48G9qG3jESIfi0+NJy45Dr1Bb/pIV5/vpNzhZtJNbiXd4mbSTW4k3TC+dnRwpIhLEYq6FqWIaxGKuBRRn12L4OTgRKI+kUR9Ivf090hMU5+T0pLQOmgJcAsgwD1Afb6/rUOHoijcSbnDjfgbXEu4xrWEa0Tdi+JqwlXiU+MxKAbSlXQMhvvP91+nGdKMyU1iWiLpSrrJdZb2Lk39oPrUC6pHncA6eDqbji49f+c8qyNXs+b8Gq4kXHlsvbk6uVLetzwV/SpSqUglKhapSBnvMmgdZa4XUXhIspObtk6BpNtQrCLUHmzraITId24l3WLTpU2sv7Cefdf3YVAMT3ysm0k3ORV7yipxuTm5kZaWRuqKVKscD0DnqCM1PZXzcec5H3eexScX46BxoEqRKtQLqoeHswd/Rf7FydsnjZ9xdXKlecnm1A+qz53kO1xPvE70vWj1kRjNraRbJKUlcfjGYQ7fOGz8nNZBSznfclT0q0g533KU8ylHWd+y+Ln4PTbO5LRk4lLi8NZ54+LkYrXrFyI3SbKTm7xLgNZd7ZTsKFUthDlySnDcnNzQOmrROpg+nByc8NJ5UdS1qPFRzLWYsRXHoBi4lXzLpOXnVvItbiXdwqAYcNe64+bkhptWfWS8Tk5P5vq961xPvP+4d5341HgS0xKNMRVxKUJxj+IEeQQR7B5MsEcwPi4+OGmccNA44KhxfPDs4IDWQYubkxuuTq7q+ZzccHFywcnBibiUOPZF72N31G72RO3hQvwFjtw8wpGbR4znc9I48WzxZ2lfuj1NSjTBTZv9en76dD2XEy5z8tZJIm5HEHErghO3T3A39S4nbp3gxK0TJuX9XPyMiU9xj+LEJsdyI+kGMYkxxkd86oPp+T20HiYtZb7OvtxKvsWdk3fwdPE01qmrkytuTm54OHsQ4hmCg0a6i4q8JX+Bc1Ojt6BGX3B7/P+WhCjIbiTe4N+Yf/k35l+O3TxGcnoyGjRoNBo0aHDQOKDRaNCn6zkVe8okwalcpDKtS7WmVWgrQjxDbHgVqkR9Itfir7Ft2zZeaP8CHi7WmzPLW+dNy9CWtAxtCUD0vWh2R+1md9Ru4lLiaBbSjNahrfFx8THreFpHLaW9S1PauzTtS7cH1L4+VxOuGpOfc3fOcebOGa7cvcLt5Nvsid7Dnug9OR7XQeOAQTGQoE8gQZ/AxfiLJu9vOrgp28/66HyoG1iXekH1aBDUgBKeJaRPkch1kuzkNkl0RC5KTU/lyI0j7I3ey7k756hYpCINghtQ0a9irv7vOd2QzpWEK6Skp6AoSpZxRdyOMCY4VxOuWnT8KkWqGBOcEp4lrBW2Vbhp3Qj1CqWoY1F0jpnX2LOmQPdAupbtSteyXa12TI1GQwnPEpTwLEGr0FbG/Yn6RCLjIjlz5wxnY89y7d41/Fz88HfzVx+u95/d/fHUepKgTzC2lGW0mt24d4PDZw5TJKgIyenJJKapfaEynuNS4riTcof1F9ez/uJ6AIp7FKd+UH3qBNahmGsxnB2dcXZ0RueoMz7rHHV4OXtJUiSemCQ7QlhIURT06QppBgOODhp0To55du50QzoRtyPYE7WHvdF7OXj9IMnpycb3119cz1cHv8Jb5029wHo0CG5A/aD6mRKGh0cAJaUl4erkiofWAzetW6YkKV1J5+yds5yOO2289XEq9hRJaUlmx+2gcaCcTzmq+1enun91fHW+KCjGFhyDYjAmTeX9ylPco/iTVpF4Qm5aNyoXrUzlopXNKu/p7Imnsydh3mHGfXq9njVX19C+UfssF2jUG/Qcv3mcXVG72H1tN0duHuFqwlVWnFnBijMrcjyfq5MrxT2Kmz48i1PCowSlvEvleuIp8jdJdkS+YlAMxtsfT0qfbiD2Xiq37qVy+14qMXGJ7IjScHbzWeKT04lN1BObmMqd+893U1JJ5w5pjjEo2hvgdAMH3U0ctLfAMQmHdF9cNEXw1hajiEsgwe5BlPIpTjm/UIp7FcXLVYuXixNertr/b+/Oo6Mq7/+Bv+/s+0y2SWayJ2AWTCDIqkhUqAroqV/bClRcSu1Rjz2AX0/rgj14Wqme05+/0+WcYqvWpdhKW6lFjbIVYimyGxIhZiEJZLJNQmZf78w83z8muWRIggskE2Y+r3PuuTP3eWbm3g8T5nOf+zzPhVT89Vpb+AiPxvONON53HMf7juNE3wm4eFdMnVRFKuZnzcf0lOmoH6jH0d6jcAQcMWfPWeosiCASzrCDkbE71nLgoJaqoZaqoZVpIeEkOOM4A76GH1VXIVYI/UU4RP89hi9LceBQaChElbEKVRlVqMyohEZGt0hJdlKRVEh4H535KLy8F8f7juNQzyHUWevg4T0IhAMIhoMIRIbW4QAiLAJfyIdWeyta7a2j3lfCSVBsKEZpainK0spQllqGktQSqKXqOBwlmYoo2SFThof3oM5ahxPWE+j19MIZdMIVdMEddMMVdMHFRx9LRBJkKDOQocqAQZYOOWcAwnrwATUCQRn8IR6BcBCBEI9gmEcwHAIf5uEPBeHlA/CHA+C4EDC0cFwIEIXAtfCAKDj0nAcn5wElD07sAScKYdyBuhIP/LDAD6AvAJwOABgE0AZEQlpE/JmIBLIQDmRBFjFDK8qBRqaEVCyCVCyCRMwgEvMQDy0hzg4na4YTTfByZxDhAjEfJ2IqqCPXwMCVI10yA6ksF6IBMfpcEtxsXoZ112rhYmdwuOcwPu35FPX99ej19I656zKRDHKJHL6QD6FICAxM6IfR5+0T6qkkKpSmlqI8rRzlaeWYkTYD+bp8iEWT16pFEo9KqsKNOTfixpwbL1kvEA6g19OLLlcXLG4LLG4Lulxd6HJ34ZzrHFxBF5psTWiyNeFfZ/4FIJqA5+vyYVKbYFAYkCJPiVnrZXp4eS+sPiv6vdFO2MOdsQd8A1BL1cjR5AiX/HK0OcjV5CJHmwO9XD8Z4ZlyguEgvLwXern+qrukSMkOiRub34YTfSdwsOsojvcdR5uzGQxfPrSYj/Do9nSj29P95R8iGlpGZCrfpLFbwkmQpcpGrjYPudo85OnyUagvgFKsQdNAJ87YLLA4u9Hr7YE9aIU73I8Q54BI4oJI4wI0F85GPYyDO6QBx4WjyZUoNPoDR/w/wsJKhLwFCHuLEPYWIuI3wwERLhz96DikqKSoypuDeXlLcf88GRTqPugVSmGk0fBIIKkoGhjGGIKRIFxBFzy8J5rwBN1w+V1o/6wd9624Dwo5DTMm8SEXy5Gvy0e+Ln9UGWMMvZ5enB48jS8Gv0Dj+UY0DjbC6rWiw9mBDmfHN/pMe8COLnfXmJ21C3QFWFa4DMsLl6NAX3DJ92m1teKjjo+w5+we2F127P1kL8rSy1CSUoKS1BKY1eYxE4cIi8AVdMEesMMfil6qZmDCMQ8TcSJhRKJUJI0ZrchxHEKREMKRMEIsFH08NNfTxdM4cCP+0/GGvOh0daLT1QmLyyI87vX0goFBKVFGE8DhZHBobVKboJfroZPppty0BJTskEnh8PI42dWHf589hBP9R9DlP4mgaPSPdCSYirC3AJFAJlhEARZWDq0VYBElEFYAXBicxAmR1AlO4oRa5YVa5YFE5oRIHIKUkwz94UsgEUshFUkgE0uhkMigkSmglSuglSshl0Q7P4ohRusXrZhdORtqmRpyiRxKsRJyiRwKsQI6mQ4mjQkS0dh/LnPNFWNu9/JetNpb0WJrQbOtBV8MNuOMvRWOoA2c1DWqPgcOEpEcCpEGuapSFGkrUaStQLaqEFKxBBJx9L+jQCiCQCgCPx9GgA/Dz0cfD3qDONlpx+ddTti8PP79hRX//sIqvH+qWoZMnQJZOjmy9Iqhxwpk6hUwauUwahVIU0cn3hvG8zw89R5qwSFTFsdxMGlMMGlMWJK3RNg+4BtA82AzBvwDsPvtsAfssAVscAQcsPltsAfsUElVMCqNyFBlwKgyIkMZXacr0+Hm3bC4LMKPvcUdfdzv60eHswNbTm7BlpNbUJ5WjuWFy3F7we3IVGcCADocHfi442Ps7Ng56rLbPss+7LPsE55rpVpMT5kOnVwndOC2++1wBB2XNa/URPKFfGixtaDF1jJuHZlIBp1cB61MC51MB51Mh1Wlq7A4Z/Ek7ukFlOyQb4wxBoePx3lPEA4fD4eXh8PHw+4NwuELYdDjx6nzjWhzn4BP0gix8iw40dBssUNdV8IBI8LeQshD05AmKUWWKgvpRjk0cjEkIhHEIi524TjolVLkpamQn6ZCXqoKKtnlfY15nkdNew2WF4/dqfKbUklVqMyoRGVGZcz2Ad8A+rx9UIgVUEqUwiIXy69I03AgFEZjjwsnztrwWacdn52zwWLzYXCoj1Jjz/ivFYs4pGtkMGqjCVC6RgpHLwf3MQuyU9XI0itg0imhU0quumZsklzSlelIz768WeurjFWjtrmCLuzv3I+a9hp82v2p0Gn/pWMvYU7WHLiDbjQONgr1pSIpbsi+Ad/K/RZaT7YipSQFrY5WNA024YzjDFy8CyesJ8bdh+GWWKFf3HALzNAqwiIIRUIxs4kPtwCNFD2Zip4IDs/9BFxoLRr5EplYFr1sp81FrjY35rFWpkWPu0dI/iwui/C419sLV9CFCIsgGAliwDeAAd+A8L4jk9HJRskOuSQ+HMGZfjfOnvfCYvPBYvOiczC67rL54A4PQCQbACe1QyR1gJPYIZLah57bwYl5QH/hiyZjachTzcJ1xvm4MWcBpqVnIV0jm9QRTfE2POndRJFLxJiVa8CsXIOwze4NosfhR6/Tj76hde+I9YA7gPOeIMIRhj5nAH3Okf2ExPjYEjv5nEIqgkmvjLYI6RTI1MqRqVPAqIu2EBl1cqSpZdAqpBCLKCkiiUMr0+LO4jtxZ/GdGPQPYnfHbtS01+CE9QSO9h4FAIg5MRaYF+D2gttxS94t0Ml00ZOq0zVYXnrhpIoP82hztKHZ1gxfyAeD3IAURQr0cn20b5Hc8I1u6xGOhMFHeERYREhwruRUFAX6gnEv30VYBF7eC2fQGV0C0b6XzqBzzORxslCyQwQ2TxCNPU6c7nGisceFxh4nWqwu8OELKT8nsUGsboNE1QZxzhloZPZLvqdcpEJ5ymzckr8IN+cvQp42j1oE4sCgksGgkqHMpBu3Dh+O4Lw7CKvLD6szAKsrgF67F0dPtUBmMA4lQX7YvDz8fATtAx60D3gu+bkcB+gUUqSopNCrZDAopTCopFDLJVDLxFDKomvViMflZh3y02gUDZn6UhWpWFm6EitLV6Lb3Y19nfugECtwS94tSFGkfOnrpWIpSlKjfXeuJLFIHLdLzyJOBI1MA41MAzPMcdmHsVCyk6QcXh71XXbUWxyot9jRYHGg2+G/qFYEItkAtIYuaFLOISRthR/9MTXEnAR5ulyY1CaY1CZkqjOFx1nqLGRrssft60KmFqlYhCy9Aln6Cx0LeZ5Hjb8Jy5fPFs5G/XwYfUMtQn2uAKxOP6yuaCLU57yQKLkDITCG6CVOHw+c94730aMUZ6ixtCwTt5QacV1+CiRfc8g+IZPNrDHj3rJ7470bZBz0K5Sg/Hw4Oo+MO4jzngAGPUH02L3Y2yzC/286gLODo394OLELmcY+pBh6EZGfw2DoDPzh6Jm7e6iOmBNjRvoMzMuah7mZczHLOOuS9+YhiUchFSM/Tf2lrS/BUGQo0YnOWTQ8b5HDx8MTCMMbDMETDMEbDMMbCMPLh+HwBnGq24kz/R6c6W/DHz5pg14pxU0lGbil1Ihrs/VI18ihU1CfIULIV0fJzlUuEmFo7XfjaMcgjnXYcLLTjj6nH55gEJzEFTNqKfrcB04UgCInAKUsBKWCh0TCIwwPnLwNHgAeABjqsqEQK1CeVo5ZxlmYlzUPVcYqSm7IVyKTiJChlSND+/UG+zt8PD5p7se/v7BiX5MVdi+Pf9V14191F0bvScUc0tRypGlkSNdE11k6BcwGJbJTlMgZWl9u53VCSGKg/wmuMg4vj6Y+F46dHcTxDhuOnbXB4ePBSQcg1Z2ERPsFuBQbtBL3l75XCICLARiaHJcDh2JDMSrSK1CRUYGK9ApMM0yjy1BkUumVUtw504w7Z5oRCkfwWacdexut2N9kRZfNB1cgBD7Mop2rnRdfeo2VopLCbFAiU6dAqlqGVLUMKSoZ0tQypAw9z01RwqibWnOCEEKuLPoVm4IYi/5H3mp1xyxn+j0YcF8YJcNJ7JDo6qHJqgensIx6n5EzDRuVRqQp0tB3tg8zy2ZCp9AJtwUYXvJ1+TS9OplSJGIR5hakYm5BKp5aVgogeol20BPEeXcQA+7A0BJEr8OHLrsPFlt07fKHhm79weNUt/OSn5OhlaMiW49rzTrMyNajIlsPk15Bl8oISRCU7MTZcGJTb3Hg8y4H6i0ONHQ5MOgZ+95FEHmRnnkackM9nGgWNos5Meab5uP2gttRllYGo8oIg9wQM9yQ53nUWGuwvPzKzidDyGRSSMUwG5QwG5SXrOf08+iy+dBl82HAHcCgN9qHbdAbnW/I5gliwB1Ej8OHfldgzEkYp2VohOH0mTo5jDo5MrUKpCjFCIQn+kgJIVcKJTuTjDGGM/1u7G/qx8Ez51FvccS01gwTizgUpKlQnKFBUYYSnKoZzd59+GzgAAIRfrhLDWYbZ2NZ4TJ8K/9bSFOmTe7BEDKF6RRS6EzSSw63BwBvMITGHhc+74qecHze7URLnwuDniCOeAYv8UoJ/l9jLQrS1ShMU0fX6SoUpmuQm0r9hQiZSuivcRK4AyH8t3UAtc39qG3qR5fdF1MuFnGYbtSgMkePihwDKrL1KM3Sotfbifda38P7Z96H1XrhjLMkpQR3Ft+J2wpuQ5Y6a7IPh5CEopJJcF1+Cq7LvzAvip8Po7nPhXODXvQ5AyPmHvIL8w25/CFYXdFh9kfaRydFGrkExqEO2kbd8C055FDJxHAHwvAEQnAHQvAEoqPSXP7oPdJM+mhHa7NeCZNBAZNeCbNBQckTIZeB/nom0Laj5/DPz7pwrMOGUOTCxHwyiQjzC1NRfU0GZuenoNykg0IanQDK5rdh99ldeGn3+6jrrxNeY5AbsKJoBe6adhdKU0sn+1AISSoKqRiVOQZU5hjGLOd5Hv/YUYNrZt8AiyOAtn4POs570DHgQduABy5/NJFxB0Jo+5KJF7+qDK0cs/MMmFuQijkFqZhh1kFK8w8R8pVQsjOBTlocONQWPeMrSFOh+poM3FRixPyi1JizNC/vxYdt+1DTXoODXQcRYtEzPBEnwqLsRbhr2l2ozqmGTCyLy3EQQkZTSYDKHD2uK4zt/8YYgzsw1Ooz1BrUP9QCZHX64ePD0Mil0MjFUMsl0Cgk0MijSzjC0OPwo8fhQ7f9wtodCKHfFcDOU33YeaoPQPSWHTNzosnPdfkpmGHWIUN7Ze6vRkiioWRnAn1ndg5KMrWoviYDBemxo5wC4QAOdR/Ch+0fYn/nfvhCFy5tlaWWYXnhciwvWg6jyjjJe00IuRwcx0GrkEKrkKI4Q3NF3tPp59Hc68KxszYc67Dh2NlB2L08DrcP4vCIS2jpmugtQcrNOpSbdJhh1qEwXUP3JyNJj5KdCXRxP4AB3wD+Y/kP9nfux6c9n8YkOLnaXCHBKdIXxWFvCSFTlU4hxZyhy1eojk4m2jbgxrEOG4522FDXaUP7gAcD7iD+0zKA/7QMxLx+MnMdxsR4/NCuyfvAq0iyx2bz/1Rg9by8uHw2JTsTiDGGZlsz9nfuR62lFg0DDTHlRqURtxbciuWFy3Ft+rXU/EwI+UpEIg7TjFpMM2qxaujHwxcMo6nPhdPdzhE39HXCGwxjRJfBScCBTernXU2SOzbxPHZKdibQ/+7/X+w5tydmW3laOW7KuQnVudUoSy2jBIcQckUoZWLMyjVgVq5B2BaJMJz3BMEwOb8yIT6EvXv3YsmSJZBI6edlJIoNoJXHb3635Iz4JJmRPgMHug5ggWkBqnOrsThnMfXBIYRMGpGI+9r3JrscPM9DJ4uOHKOJS2NRbOKLkp0JtKpkFdaUrYFCQvfdIYQQQuKFkp0JpJFdmZEYhBBCCPnmaEYqQgghhCQ0SnYIIYQQktAo2SGEEEJIQqNkhxBCCCEJjZIdQgghhCQ0SnYIIYQQktAo2SGEEEJIQqNkhxBCCCEJjZIdQgghhCQ0SnYIIYQQktAo2SGEEEJIQqNkhxBCCCEJjZIdQgghhCQ0uus5AMYYAMDpdMZ5TyYWz/Pwer1wOp2QSqXx3p0pg+IyPorN2CguY6O4jI9iM7bLjcvw7/bw7/h4KNkB4HK5AAC5ublx3hNCCCGEfF0ulwt6vX7cco59WTqUBCKRCLq7u6HVasFxXLx3Z8I4nU7k5uais7MTOp0u3rszZVBcxkexGRvFZWwUl/FRbMZ2uXFhjMHlcsFsNkMkGr9nDrXsABCJRMjJyYn3bkwanU5Hf2xjoLiMj2IzNorL2Cgu46PYjO1y4nKpFp1h1EGZEEIIIQmNkh1CCCGEJDRKdpKIXC7Hpk2bIJfL470rUwrFZXwUm7FRXMZGcRkfxWZskxUX6qBMCCGEkIRGLTuEEEIISWiU7BBCCCEkoVGyQwghhJCERskOIYQQQhIaJTsJZsuWLaisrBQmaFq4cCE++ugjoZwxhueeew5msxlKpRI33XQTTp06Fcc9jo8XXngBHMdhw4YNwrZkjc1zzz0HjuNilqysLKE8WeMCAF1dXVizZg3S0tKgUqkwa9YsHD9+XChP1tgUFBSM+s5wHIfHHnsMQPLGJRQK4dlnn0VhYSGUSiWKiorw85//HJFIRKiTrLFxuVzYsGED8vPzoVQqcf311+Po0aNC+YTHhZGEsmPHDvbhhx+ypqYm1tTUxJ555hkmlUrZ559/zhhj7MUXX2RarZa9++67rKGhga1cuZKZTCbmdDrjvOeT58iRI6ygoIBVVlay9evXC9uTNTabNm1iM2bMYD09PcJitVqF8mSNy+DgIMvPz2cPPvggO3z4MGtvb2d79uxhra2tQp1kjY3Vao35vuzevZsBYPv27WOMJW9cnn/+eZaWlsY++OAD1t7ezv7+978zjUbDfv3rXwt1kjU299xzDysvL2e1tbWspaWFbdq0iel0OmaxWBhjEx8XSnaSQEpKCnv11VdZJBJhWVlZ7MUXXxTK/H4/0+v17OWXX47jHk4el8vFpk+fznbv3s2qq6uFZCeZY7Np0yY2c+bMMcuSOS5PPvkkW7Ro0bjlyRybi61fv54VFxezSCSS1HFZsWIFW7t2bcy2u+++m61Zs4YxlrzfGa/Xy8RiMfvggw9its+cOZNt3LhxUuJCl7ESWDgcxjvvvAOPx4OFCxeivb0dvb29uPXWW4U6crkc1dXVOHjwYBz3dPI89thjWLFiBZYuXRqzPdlj09LSArPZjMLCQqxatQptbW0AkjsuO3bswJw5c/C9730PRqMRVVVVeOWVV4TyZI7NSMFgEFu3bsXatWvBcVxSx2XRokXYu3cvmpubAQAnT57EgQMHsHz5cgDJ+50JhUIIh8NQKBQx25VKJQ4cODApcaFkJwE1NDRAo9FALpfjkUcewT//+U+Ul5ejt7cXAJCZmRlTPzMzUyhLZO+88w5OnDiBF154YVRZMsdm/vz5eOutt7Bz50688sor6O3txfXXX4/z588ndVza2tqwZcsWTJ8+HTt37sQjjzyCdevW4a233gKQ3N+Zkd577z3Y7XY8+OCDAJI7Lk8++SRWr16N0tJSSKVSVFVVYcOGDVi9ejWA5I2NVqvFwoUL8Ytf/ALd3d0Ih8PYunUrDh8+jJ6enkmJC931PAGVlJSgrq4Odrsd7777Lh544AHU1tYK5RzHxdRnjI3almg6Ozuxfv167Nq1a9TZxUjJGJtly5YJjysqKrBw4UIUFxfjzTffxIIFCwAkZ1wikQjmzJmDX/7ylwCAqqoqnDp1Clu2bMH9998v1EvG2Iz02muvYdmyZTCbzTHbkzEu27Ztw9atW/GXv/wFM2bMQF1dHTZs2ACz2YwHHnhAqJeMsfnzn/+MtWvXIjs7G2KxGLNnz8b3v/99nDhxQqgzkXGhlp0EJJPJMG3aNMyZMwcvvPACZs6cid/85jfCCJuLM2Wr1Toqo040x48fh9VqxXXXXQeJRAKJRILa2lr89re/hUQiEY4/GWNzMbVajYqKCrS0tCT1d8ZkMqG8vDxmW1lZGc6dOwcASR2bYWfPnsWePXvw0EMPCduSOS4/+clP8NRTT2HVqlWoqKjAfffdh8cff1xoTU7m2BQXF6O2thZutxudnZ04cuQIeJ5HYWHhpMSFkp0kwBhDIBAQvlS7d+8WyoLBIGpra3H99dfHcQ8n3pIlS9DQ0IC6ujphmTNnDu69917U1dWhqKgoaWNzsUAggMbGRphMpqT+ztxwww1oamqK2dbc3Iz8/HwASOrYDHv99ddhNBqxYsUKYVsyx8Xr9UIkiv1ZFYvFwtDzZI7NMLVaDZPJBJvNhp07d+Lb3/725MTlinRzJlPG008/zT755BPW3t7O6uvr2TPPPMNEIhHbtWsXYyw6vE+v17Pt27ezhoYGtnr16qQY9jiWkaOxGEve2DzxxBNs//79rK2tjR06dIjdcccdTKvVso6ODsZY8sblyJEjTCKRsM2bN7OWlhb29ttvM5VKxbZu3SrUSdbYMMZYOBxmeXl57MknnxxVlqxxeeCBB1h2drYw9Hz79u0sPT2d/fSnPxXqJGtsPv74Y/bRRx+xtrY2tmvXLjZz5kw2b948FgwGGWMTHxdKdhLM2rVrWX5+PpPJZCwjI4MtWbJESHQYiw593LRpE8vKymJyuZwtXryYNTQ0xHGP4+fiZCdZYzM8n4VUKmVms5ndfffd7NSpU0J5ssaFMcbef/99du211zK5XM5KS0vZH//4x5jyZI7Nzp07GQDW1NQ0qixZ4+J0Otn69etZXl4eUygUrKioiG3cuJEFAgGhTrLGZtu2bayoqIjJZDKWlZXFHnvsMWa324XyiY4LxxhjV6aNiBBCCCFk6qE+O4QQQghJaJTsEEIIISShUbJDCCGEkIRGyQ4hhBBCEholO4QQQghJaJTsEEIIISShUbJDCCGEkIRGyQ4hhBBCEholO4SQq9bBgwchFotx++23x3tXCCFTGM2gTAi5aj300EPQaDR49dVXcfr0aeTl5cV7lwghUxC17BBCrkoejwd/+9vf8Oijj+KOO+7AG2+8EVO+Y8cOTJ8+HUqlEjfffDPefPNNcBwHu90u1Dl48CAWL14MpVKJ3NxcrFu3Dh6PZ3IPhBAy4SjZIYRclbZt24aSkhKUlJRgzZo1eP311zHcUN3R0YHvfve7uOuuu1BXV4eHH34YGzdujHl9Q0MDbrvtNtx9992or6/Htm3bcODAAfz4xz+Ox+EQQiYQXcYihFyVbrjhBtxzzz1Yv349QqEQTCYT/vrXv2Lp0qV46qmn8OGHH6KhoUGo/+yzz2Lz5s2w2WwwGAy4//77oVQq8Yc//EGoc+DAAVRXV8Pj8UChUMTjsAghE4BadgghV52mpiYcOXIEq1atAgBIJBKsXLkSf/rTn4TyuXPnxrxm3rx5Mc+PHz+ON954AxqNRlhuu+02RCIRtLe3T86BEEImhSTeO0AIIV/Xa6+9hlAohOzsbGEbYwxSqRQ2mw2MMXAcF/OaixuxI5EIHn74Yaxbt27U+1NHZ0ISCyU7hJCrSigUwltvvYWXXnoJt956a0zZd77zHbz99tsoLS1FTU1NTNmxY8dins+ePRunTp3CtGnTJnyfCSHxRX12CCFXlffeew8rV66E1WqFXq+PKdu4cSNqamqwfft2lJSU4PHHH8cPf/hD1NXV4YknnoDFYoHdboder0d9fT0WLFiAH/zgB/jRj34EtVqNxsZG7N69G7/73e/idHSEkIlAfXYIIVeV1157DUuXLh2V6ADRlp26ujrYbDb84x//wPbt21FZWYktW7YIo7HkcjkAoLKyErW1tWhpacGNN96Iqqoq/OxnP4PJZJrU4yGETDxq2SGEJIXNmzfj5ZdfRmdnZ7x3hRAyyajPDiEkIf3+97/H3LlzkZaWhv/+97/41a9+RXPoEJKkKNkhhCSklpYWPP/88xgcHEReXh6eeOIJPP300/HeLUJIHNBlLEIIIYQkNOqgTAghhJCERskOIYQQQhIaJTuEEEIISWiU7BBCCCEkoVGyQwghhJCERskOIYQQQhIaJTuEEEIISWiU7BBCCCEkoVGyQwghhJCE9n/coLMB0E3GqAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Find the mean of each variable at every age\n", + "AgeMeans = Data.groupby([\"Age\"]).median().reset_index()\n", + "\n", + "plt.figure()\n", + "plt.plot(AgeMeans.Age, AgeMeans.pIncome, label=\"Permanent Income\")\n", + "plt.plot(AgeMeans.Age, AgeMeans.M, label=\"Market resources\")\n", + "plt.plot(AgeMeans.Age, AgeMeans.Cons, label=\"Consumption\")\n", + "plt.legend()\n", + "plt.xlabel(\"Age\")\n", + "plt.ylabel(f\"Thousands of {adjust_infl_to} USD\")\n", + "plt.title(\"Variable Medians Conditional on Survival\")\n", + "plt.grid()" + ] + } + ], + "metadata": { + "jupytext": { + "formats": "ipynb,py:percent" + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.18" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/ConsBequestModel/example_ConsPortfolioComp.ipynb b/examples/ConsBequestModel/example_ConsPortfolioComp.ipynb new file mode 100644 index 000000000..f4050ff56 --- /dev/null +++ b/examples/ConsBequestModel/example_ConsPortfolioComp.ipynb @@ -0,0 +1,109 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "from HARK.ConsumptionSaving.ConsPortfolioModel import (\n", + " PortfolioConsumerType,\n", + " init_portfolio,\n", + ")\n", + "from HARK.ConsumptionSaving.ConsBequestModel import BequestWarmGlowPortfolioType\n", + "\n", + "from HARK.ConsumptionSaving.ConsIndShockModel import (\n", + " init_idiosyncratic_shocks\n", + ")\n", + "from HARK.utilities import plot_funcs" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "port_type = PortfolioConsumerType(**init_portfolio)\n", + "port_type.cycles = 0\n", + "port_type.solve()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "beq_type = BequestWarmGlowPortfolioType(\n", + " **init_portfolio)\n", + "\n", + "beq_type.TermBeqFac = 0\n", + "beq_type.BeqFac = [0]\n", + "beq_type.cycles = 0\n", + "beq_type.solve()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_funcs([beq_type.solution[0].cFuncAdj, port_type.solution[0].cFuncAdj], 0, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_funcs([beq_type.solution[0].ShareFuncAdj, port_type.solution[0].ShareFuncAdj], 0, 10)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "hark", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.18" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/ConsBequestModel/example_TerminalBequestPort.ipynb b/examples/ConsBequestModel/example_TerminalBequestPort.ipynb new file mode 100644 index 000000000..3b74d1b4f --- /dev/null +++ b/examples/ConsBequestModel/example_TerminalBequestPort.ipynb @@ -0,0 +1,395 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 35, + "id": "19c5f531", + "metadata": {}, + "outputs": [], + "source": [ + "from copy import copy\n", + "from time import time\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "\n", + "from HARK.Calibration.Income.IncomeTools import (\n", + " CGM_income,\n", + " parse_income_spec,\n", + " parse_time_params,\n", + ")\n", + "from HARK.ConsumptionSaving.ConsBequestModel import (\n", + " BequestWarmGlowPortfolioType,\n", + ")\n", + "from HARK.datasets.life_tables.us_ssa.SSATools import parse_ssa_life_table\n", + "from HARK.datasets.SCF.WealthIncomeDist.SCFDistTools import income_wealth_dists_from_scf\n", + "from HARK.utilities import plot_funcs" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "509ad629", + "metadata": {}, + "outputs": [], + "source": [ + "# First define the portfolio params similar to the notebook solution for that agent type\n", + "ConsPortfolioDict = {\n", + " # Parameters shared with the Perfect foresight consumer type\n", + " \"CRRA\": 5.0, # Coefficient of relative risk aversion,\n", + " \"Rfree\": 1.03, # Interest factor on assets\n", + " \"DiscFac\": 0.90, # Intertemporal discount factor\n", + " \"LivPrb\": [0.98], # Survival probability\n", + " \"PermGroFac\": [1.01], # Permanent income growth factor\n", + " \"BoroCnstArt\": 0.0, # Artificial borrowing constraint\n", + " \"MaxKinks\": 400, # Maximum number of grid points to allow in cFunc (should be large)\n", + " \"AgentCount\": 10000, # Number of agents of this type (only matters for simulation)\n", + " \"aNrmInitMean\": 0.0, # Mean of log initial assets (only matters for simulation)\n", + " \"aNrmInitStd\": 1.0, # Standard deviation of log initial assets (only for simulation)\n", + " \"pLvlInitMean\": 0.0, # Mean of log initial permanent income (only matters for simulation)\n", + " \"pLvlInitStd\": 0.0, # Standard deviation of log initial permanent income (only matters for simulation)\n", + " \"PermGroFacAgg\": 1.0, # Aggregate permanent income growth factor: portion of PermGroFac attributable to aggregate productivity growth (only matters for simulation)\n", + " \"T_age\": None, # Age after which simulated agents are automatically killed\n", + " \"T_cycle\": 1, # Number of periods in the cycle for this agent type\n", + " \"PerfMITShk\": False, # Do Perfect Foresight MIT Shock: Forces Newborns to follow solution path of the agent he/she replaced when True\n", + " # assets above grid parameters\n", + " \"aXtraMin\": 0.001, # Minimum end-of-period \"assets above minimum\" value\n", + " \"aXtraMax\": 100, # Maximum end-of-period \"assets above minimum\" value\n", + " \"aXtraNestFac\": 1, # Exponential nesting factor when constructing \"assets above minimum\" grid\n", + " \"aXtraCount\": 200, # Number of points in the grid of \"assets above minimum\"\n", + " \"aXtraExtra\": [\n", + " None\n", + " ], # Some other value of \"assets above minimum\" to add to the grid, not used\n", + " # Income process variables\n", + " \"PermShkStd\": [0.1], # Standard deviation of log permanent income shocks\n", + " \"PermShkCount\": 7, # Number of points in discrete approximation to permanent income shocks\n", + " \"TranShkStd\": [0.1], # Standard deviation of log transitory income shocks\n", + " \"TranShkCount\": 7, # Number of points in discrete approximation to transitory income shocks\n", + " \"UnempPrb\": 0.05, # Probability of unemployment while working\n", + " \"UnempPrbRet\": 0.005, # Probability of \"unemployment\" while retired\n", + " \"IncUnemp\": 0.3, # Unemployment benefits replacement rate\n", + " \"IncUnempRet\": 0.0, # \"Unemployment\" benefits when retired\n", + " \"tax_rate\": 0.0, # Flat income tax rate\n", + " \"T_retire\": 0, # Period of retirement (0 --> no retirement)\n", + " \"vFuncBool\": False, # Whether to calculate the value function during solution\n", + " \"CubicBool\": False, # Use cubic spline interpolation when True, linear interpolation when False\n", + " \"neutral_measure\": False, # Use permanent income neutral measure (see Harmenberg 2021) during simulations when True.\n", + " \"NewbornTransShk\": False, # Whether Newborns have transitory shock. The default is False.\n", + " # Attributes specific to the Portfolio consumer\n", + " \"RiskyAvg\": 1.08, # Average return of the risky asset\n", + " \"RiskyStd\": 0.20, # Standard deviation of (log) risky returns\n", + " \"RiskyCount\": 5, # Number of integration nodes to use in approximation of risky returns\n", + " \"ShareCount\": 25, # Number of discrete points in the risky share approximation\n", + " \"AdjustPrb\": 1.0, # Probability that the agent can adjust their risky portfolio share each period\n", + " \"DiscreteShareBool\": False, # Flag for whether to optimize risky share on a discrete grid only\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "8a2d828c", + "metadata": { + "title": "Alter calibration" + }, + "outputs": [], + "source": [ + "birth_age = 25\n", + "death_age = 90\n", + "adjust_infl_to = 1992\n", + "income_calib = CGM_income\n", + "education = \"College\"\n", + "\n", + "# Income specification\n", + "income_params = parse_income_spec(\n", + " age_min=birth_age,\n", + " age_max=death_age,\n", + " adjust_infl_to=adjust_infl_to,\n", + " **income_calib[education],\n", + " SabelhausSong=True,\n", + ")\n", + "\n", + "# Initial distribution of wealth and permanent income\n", + "dist_params = income_wealth_dists_from_scf(\n", + " base_year=adjust_infl_to,\n", + " age=birth_age,\n", + " education=education,\n", + " wave=1995,\n", + ")\n", + "\n", + "# We need survival probabilities only up to death_age-1, because survival\n", + "# probability at death_age is 1.\n", + "liv_prb = parse_ssa_life_table(\n", + " female=True,\n", + " cross_sec=True,\n", + " year=2004,\n", + " min_age=birth_age,\n", + " max_age=death_age - 1,\n", + ")\n", + "\n", + "# Parameters related to the number of periods implied by the calibration\n", + "time_params = parse_time_params(age_birth=birth_age, age_death=death_age)\n", + "\n", + "# Update all the new parameters\n", + "params = copy(ConsPortfolioDict)\n", + "params.update(time_params)\n", + "params.update(dist_params)\n", + "params.update(income_params)\n", + "params.update({\"LivPrb\": [1.0] * len(liv_prb)})\n", + "\n", + "# Specify bequest parameters\n", + "params[\"TermBeqCRRA\"] = params[\"CRRA\"]\n", + "params[\"TermBeqFac\"] = 1.0\n", + "params[\"TermBeqShift\"] = 0.0\n", + "params[\"BeqCRRA\"] = params[\"CRRA\"]\n", + "params[\"BeqFac\"] = 0.0\n", + "params[\"BeqShift\"] = 0.0" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "fbfff075", + "metadata": { + "title": "Create and solve agent" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]\n" + ] + } + ], + "source": [ + "# Make and solve an idiosyncratic shocks consumer with a finite lifecycle\n", + "TerminalExample = BequestWarmGlowPortfolioType(**params)\n", + "# Make this consumer live a sequence of periods exactly once\n", + "TerminalExample.cycles = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "5f41049a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Solving a lifecycle consumer took 1.467806100845337 seconds.\n" + ] + } + ], + "source": [ + "start_time = time()\n", + "TerminalExample.solve()\n", + "end_time = time()\n", + "print(f\"Solving a lifecycle consumer took {end_time - start_time} seconds.\")\n", + "TerminalExample.unpack(\"cFuncAdj\")" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "27d1663e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Consumption functions\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the consumption functions\n", + "print(\"Consumption functions\")\n", + "plot_funcs(TerminalExample.cFuncAdj, 0, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "a16b7032", + "metadata": { + "lines_to_next_cell": 2, + "title": "Simulation" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'aNrm': array([[ 0.46904282, 1.31175838, 0.56159051, ..., 1.52467805,\n", + " 2.09733267, 0.37409977],\n", + " [ 1.37520903, 0.6176298 , 0.30952987, ..., 1.84837915,\n", + " 0.89571365, 0.24535435],\n", + " [ 0.89533034, 0.6693685 , 0.22147663, ..., 0.99076435,\n", + " 1.90439842, 0.27483799],\n", + " ...,\n", + " [ 3.1209396 , 2.09409977, 1.53508227, ..., 1.14624321,\n", + " 7.43197775, 1.08544793],\n", + " [ 5.3628424 , 2.66917712, 2.83951441, ..., 1.89757911,\n", + " 12.28691809, 2.38158327],\n", + " [ 5.63316314, 2.11559551, 3.19324341, ..., 2.36804854,\n", + " 9.9066531 , 3.49900954]]),\n", + " 'cNrm': array([[0.67873532, 0.78560172, 0.69243062, ..., 0.8093949 , 0.87001464,\n", + " 0.66309012],\n", + " [0.79329515, 0.70222072, 0.65278482, ..., 0.84389605, 0.73779289,\n", + " 0.63795665],\n", + " [0.74499716, 0.71689987, 0.63878221, ..., 0.75628097, 0.85485524,\n", + " 0.65281797],\n", + " ...,\n", + " [0.97070054, 0.87382028, 0.81664986, ..., 0.77414266, 1.32229596,\n", + " 0.76722624],\n", + " [1.15881367, 0.93108216, 0.94666304, ..., 0.85739706, 1.66736904,\n", + " 0.90425066],\n", + " [1.17635676, 0.87972626, 0.97764095, ..., 0.9034842 , 1.4913754 ,\n", + " 1.00400766]]),\n", + " 'pLvl': array([[36.71640118, 16.82205727, 7.95128107, ..., 30.27971795,\n", + " 12.98853902, 18.48391768],\n", + " [31.84982278, 17.83243806, 9.24615523, ..., 39.24987577,\n", + " 16.83630422, 17.86391025],\n", + " [33.54769045, 17.12447306, 7.96951851, ..., 50.55320999,\n", + " 11.99248252, 18.81620929],\n", + " ...,\n", + " [18.05444828, 25.2129987 , 8.67721827, ..., 23.09621387,\n", + " 64.19075411, 78.77789183],\n", + " [13.03220011, 38.8833582 , 6.26345614, ..., 22.19010488,\n", + " 46.3346617 , 75.68728331],\n", + " [14.83380395, 58.74199052, 7.12933194, ..., 25.25772031,\n", + " 69.99884743, 65.89269544]]),\n", + " 't_age': array([[1., 1., 1., ..., 1., 1., 1.],\n", + " [2., 2., 2., ..., 2., 2., 2.],\n", + " [3., 3., 3., ..., 3., 3., 3.],\n", + " ...,\n", + " [3., 3., 3., ..., 3., 3., 3.],\n", + " [4., 4., 4., ..., 4., 4., 4.],\n", + " [5., 5., 5., ..., 5., 5., 5.]]),\n", + " 'mNrm': array([[ 1.14777815, 2.0973601 , 1.25402113, ..., 2.33407295,\n", + " 2.96734731, 1.03718989],\n", + " [ 2.16850418, 1.31985051, 0.96231468, ..., 2.6922752 ,\n", + " 1.63350654, 0.883311 ],\n", + " [ 1.6403275 , 1.38626836, 0.86025884, ..., 1.74704532,\n", + " 2.75925366, 0.92765597],\n", + " ...,\n", + " [ 4.09164014, 2.96792005, 2.35173212, ..., 1.92038587,\n", + " 8.75427371, 1.85267418],\n", + " [ 6.52165608, 3.60025928, 3.78617744, ..., 2.75497617,\n", + " 13.95428713, 3.28583394],\n", + " [ 6.80951991, 2.99532178, 4.17088436, ..., 3.27153274,\n", + " 11.3980285 , 4.5030172 ]])}" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Number of LifecycleExamples and periods in the simulation.\n", + "TerminalExample.AgentCount = 500\n", + "TerminalExample.T_sim = 200\n", + "\n", + "# Set up the variables we want to keep track of.\n", + "TerminalExample.track_vars = [\"aNrm\", \"cNrm\", \"pLvl\", \"t_age\", \"mNrm\"]\n", + "\n", + "# Run the simulations\n", + "TerminalExample.initialize_sim()\n", + "TerminalExample.simulate()" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "7c7979ec", + "metadata": { + "title": "Extract and format simulation results" + }, + "outputs": [], + "source": [ + "raw_data = {\n", + " \"Age\": TerminalExample.history[\"t_age\"].flatten() + birth_age - 1,\n", + " \"pIncome\": TerminalExample.history[\"pLvl\"].flatten(),\n", + " \"nrmM\": TerminalExample.history[\"mNrm\"].flatten(),\n", + " \"nrmC\": TerminalExample.history[\"cNrm\"].flatten(),\n", + "}\n", + "\n", + "Data = pd.DataFrame(raw_data)\n", + "Data[\"Cons\"] = Data.nrmC * Data.pIncome\n", + "Data[\"M\"] = Data.nrmM * Data.pIncome" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "1d8269db", + "metadata": { + "title": "Plots" + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Find the mean of each variable at every age\n", + "AgeMeans = Data.groupby([\"Age\"]).median().reset_index()\n", + "\n", + "plt.figure()\n", + "plt.plot(AgeMeans.Age, AgeMeans.pIncome, label=\"Permanent Income\")\n", + "plt.plot(AgeMeans.Age, AgeMeans.M, label=\"Market resources\")\n", + "plt.plot(AgeMeans.Age, AgeMeans.Cons, label=\"Consumption\")\n", + "plt.legend()\n", + "plt.xlabel(\"Age\")\n", + "plt.ylabel(f\"Thousands of {adjust_infl_to} USD\")\n", + "plt.title(\"Variable Medians Conditional on Survival\")\n", + "plt.grid()" + ] + } + ], + "metadata": { + "jupytext": { + "formats": "ipynb,py:percent" + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.18" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}