{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Deep Hedging of Green PPAs"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:21.483920Z",
"start_time": "2023-06-22T15:57:16.817210Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/doeltz/doeltz/development/RiVaPy/rivapy/__init__.py:11: UserWarning: The pyvacon module is not available. You may not use all functionality without this module. Consider installing pyvacon.\n",
" warnings.warn('The pyvacon module is not available. You may not use all functionality without this module. Consider installing pyvacon.')\n",
"2023-06-22 17:57:18.177259: W tensorflow/stream_executor/platform/default/dso_loader.cc:64] Could not load dynamic library 'libcudart.so.11.0'; dlerror: libcudart.so.11.0: cannot open shared object file: No such file or directory\n",
"2023-06-22 17:57:18.177279: I tensorflow/stream_executor/cuda/cudart_stub.cc:29] Ignore above cudart dlerror if you do not have a GPU set up on your machine.\n"
]
},
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import datetime as dt\n",
"import sys\n",
"sys.path.insert(0,'../..')\n",
"from typing import List\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import json\n",
"import os\n",
"os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"-1\"\n",
"from rivapy.tools.datetime_grid import DateTimeGrid\n",
"\n",
"from rivapy.models.residual_demand_fwd_model import WindPowerForecastModel, MultiRegionWindForecastModel, ResidualDemandForwardModel, LinearDemandForwardModel\n",
"from rivapy.instruments.ppa_specification import GreenPPASpecification\n",
"from rivapy.models.residual_demand_model import SmoothstepSupplyCurve\n",
"from rivapy.models import OrnsteinUhlenbeck\n",
"from rivapy.pricing.green_ppa_pricing import GreenPPADeepHedgingPricer, DeepHedgeModel\n",
"import numpy as np\n",
"from scipy.special import comb\n",
"\n",
"from IPython.display import display, HTML\n",
"display(HTML(\"\"))\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-20T16:00:11.078443Z",
"start_time": "2023-01-20T16:00:11.047462Z"
}
},
"source": [
"# Residual Demand Forward Model"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:22.440912Z",
"start_time": "2023-06-22T15:57:22.389605Z"
}
},
"outputs": [],
"source": [
"days = 10\n",
"timegrid = np.linspace(0.0, days*1.0/365.0, days*24)\n",
"forward_expiries = [timegrid[-1]]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:22.941141Z",
"start_time": "2023-06-22T15:57:22.906781Z"
}
},
"outputs": [],
"source": [
"wind_onshore = WindPowerForecastModel(region='Onshore', speed_of_mean_reversion=0.1, volatility=4.80)\n",
"wind_offshore = WindPowerForecastModel(region='Offshore', speed_of_mean_reversion=0.5, volatility=4.80)\n",
"regions = [ MultiRegionWindForecastModel.Region( \n",
" wind_onshore,\n",
" capacity=1000.0,\n",
" rnd_weights=[0.8,0.2]\n",
" ),\n",
" MultiRegionWindForecastModel.Region( \n",
" wind_offshore,\n",
" capacity=100.0,\n",
" rnd_weights=[0.2,0.8]\n",
" )\n",
" \n",
" ]\n",
"wind = MultiRegionWindForecastModel('Wind_Germany', regions)\n",
"\n",
"model = LinearDemandForwardModel(wind_power_forecast=wind, x_volatility=1.4 , x_mean_reversion_speed=2.0, \n",
" power_name= 'Power_Germany')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:43.318774Z",
"start_time": "2023-06-22T15:57:43.022160Z"
}
},
"outputs": [],
"source": [
"np.random.seed(42)\n",
"rnd = np.random.normal(size=model.rnd_shape(n_sims=10_000, n_timesteps=timegrid.shape[0]))\n",
"model_result = model.simulate(timegrid, rnd, expiries=forward_expiries, \n",
" initial_forecasts={'Onshore': [0.8],\n",
" 'Offshore': [0.6]},\n",
" power_fwd_prices = [100])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:45.128128Z",
"start_time": "2023-06-22T15:57:45.086259Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"{'Offshore_FWD0', 'Onshore_FWD0', 'Power_Germany_FWD0', 'Wind_Germany_FWD0'}"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model_result.keys()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PPA Hedging"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:47.830091Z",
"start_time": "2023-06-22T15:57:47.794169Z"
}
},
"outputs": [],
"source": [
"class Repo:\n",
" def __init__(self, repo_dir):\n",
" self.repo_dir = repo_dir\n",
" self.results = {}\n",
" with open(repo_dir+'/hedge_results.json','r') as f:\n",
" self.results = json.load(f)\n",
" \n",
" def run_hedge_experiment(self, val_date, ppa_spec, model, **kwargs):\n",
" params = {}\n",
" params['ppa_spec'] = ppa_spec.to_dict()\n",
" params['ppa_spec_hash'] = ppa_spec.hash()\n",
" params['model'] = model.to_dict()\n",
" params['model_hash'] = model.hash()\n",
" params['pricing_param'] = kwargs\n",
" hash_key = FactoryObject.hash_for_dict(params)\n",
" #if hash_key in results:\n",
" \n",
" pricing_result = GreenPPADeepHedgingPricer.price(val_date, \n",
" ppa_spec, \n",
" model,\n",
" **kwargs)\n",
" return pricing_results\n",
"\n",
"from rivapy.tools.interfaces import FactoryObject\n",
"\n",
"def compute_pnl_figures(pricing_results):\n",
" pnl = pricing_results.hedge_model.compute_pnl(pricing_results.paths, pricing_results.payoff)\n",
" return {'mean': pnl.mean(), 'var': pnl.var(), '1%':np.percentile(pnl,1), '99%': np.percentile(pnl,1)}\n",
"\n",
"def compute_pnl(pricing_results):\n",
" return pricing_results.hedge_model.compute_pnl(pricing_results.paths, pricing_results.payoff)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:48.405497Z",
"start_time": "2023-06-22T15:57:48.380695Z"
}
},
"outputs": [],
"source": [
"val_date = dt.datetime(2023,1,1)\n",
"strike = 0.3 #0.22\n",
"spec = GreenPPASpecification(udl='Power_Germany',\n",
" technology = 'Wind',\n",
" location = 'Onshore',\n",
" schedule = [val_date + dt.timedelta(days=2)], \n",
" fixed_price=strike,\n",
" max_capacity = 1.0)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T15:57:50.508671Z",
"start_time": "2023-06-22T15:57:50.462478Z"
}
},
"outputs": [
{
"ename": "TypeError",
"evalue": "price() got multiple values for argument 'initial_forecasts'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m/tmp/ipykernel_437888/2057733429.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m pricing_result = GreenPPADeepHedgingPricer.price(val_date, \n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mspec\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m initial_forecasts={'Onshore': [0.8, 0.7,0.6,0.5],\n",
"\u001b[0;31mTypeError\u001b[0m: price() got multiple values for argument 'initial_forecasts'"
]
}
],
"source": [
"pricing_result = GreenPPADeepHedgingPricer.price(val_date, \n",
" spec, \n",
" model,\n",
" model, \n",
" initial_forecasts={'Onshore': [0.8, 0.7,0.6,0.5],\n",
" 'Offshore': [0.6,0.6,0.6,0.6]},\n",
" power_fwd_prices=[1.0],\n",
" forecast_hours=[10, 14, 18],\n",
" additional_states=['Offshore'],\n",
" depth=3, nb_neurons=32, n_sims=100_000, \n",
" regularization=0.0,\n",
" epochs=20, verbose=1,\n",
" tensorboard_logdir = 'logs/' + dt.datetime.now().strftime(\"%Y%m%dT%H%M%S\"), \n",
" initial_lr=5e-4,\n",
" decay_steps=8_000,\n",
" batch_size=100, decay_rate=0.8, seed=42)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:No training configuration found in save file, so the model was *not* compiled. Compile it manually.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:tensorflow:No training configuration found in save file, so the model was *not* compiled. Compile it manually.\n"
]
}
],
"source": [
"model = DeepHedgeModel.load('depp')"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-22T12:56:49.405367Z",
"start_time": "2023-06-22T12:55:52.771068Z"
},
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/doeltz/doeltz/development/RiVaPy/rivapy/tools/datetime_grid.py:24: FutureWarning: Argument `closed` is deprecated in favor of `inclusive`.\n",
" self.dates = pd.date_range(start, end, freq=freq, tz=tz, closed=closed).to_pydatetime()\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 1/20\n",
"1000/1000 [==============================] - 7s 2ms/step - loss: 1.0018e-04\n",
"Epoch 2/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.8207e-05\n",
"Epoch 3/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.9591e-05\n",
"Epoch 4/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.8396e-05\n",
"Epoch 5/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.7541e-05\n",
"Epoch 6/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.6689e-05\n",
"Epoch 7/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.5947e-05\n",
"Epoch 8/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.6003e-05\n",
"Epoch 9/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.4701e-05\n",
"Epoch 10/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.4335e-05\n",
"Epoch 11/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.4303e-05\n",
"Epoch 12/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.3094e-05\n",
"Epoch 13/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.3400e-05\n",
"Epoch 14/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.3353e-05\n",
"Epoch 15/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.3494e-05A: 0s \n",
"Epoch 16/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.3430e-05\n",
"Epoch 17/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.2063e-05\n",
"Epoch 18/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.2050e-05\n",
"Epoch 19/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.2099e-05\n",
"Epoch 20/20\n",
"1000/1000 [==============================] - 2s 2ms/step - loss: 7.2132e-05\n"
]
}
],
"source": [
"pricing_results = run_hedge_experiment(val_date, \n",
" spec, \n",
" model, \n",
" initial_forecasts={'Onshore': [0.8, 0.7,0.6,0.5],\n",
" 'Offshore': [0.6,0.6,0.6,0.6]},\n",
" power_fwd_prices=[1.0],\n",
" forecast_hours=[10, 14, 18],\n",
" additional_states=['Offshore'],\n",
" depth=3, nb_neurons=32, n_sims=100_000, \n",
" regularization=0.0,\n",
" epochs=20, verbose=1,\n",
" tensorboard_logdir = 'logs/' + dt.datetime.now().strftime(\"%Y%m%dT%H%M%S\"), \n",
" initial_lr=5e-4,\n",
" decay_steps=8_000,\n",
" batch_size=100, decay_rate=0.8, seed=42)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"dict_keys(['Power_Germany_FWD0', 'Onshore_FWD0', 'Offshore_FWD0'])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pricing_results.paths.keys()\n",
"#ttm"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-24T13:57:01.882651Z",
"start_time": "2023-01-24T13:57:01.810046Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8/8 [==============================] - 0s 3ms/step\n",
"8/8 [==============================] - 0s 3ms/step\n",
"8/8 [==============================] - 0s 2ms/step\n",
"8/8 [==============================] - 0s 1ms/step\n"
]
},
{
"data": {
"image/png": 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D7C1bSPp8um2CxjMup2O11bCy5vAapu+czp8n/izc36VWF4ZdMYwWISUPVyIiUr4oCNmJglD5lbtvH8kzZpL2ww9nO1aHh9s6Vt988yV1rN56YivTd0xn1eFVGNj+l7iq2lUMv2I4XcO74mIuWbgSEZHyQUHIThSEyr+CU6dImTePlLnzzu9YPWAArtWqlfhc+9P2M2vXLH7a+xN5Vlu4qu1bm6FNh2oJDxGRCkRByE4UhCoOa1YWqd9/T/KMmeQfPgxcfsfqU9mnmBczj6/iviI9Lx2wLeExsPFA7mx0J77uvqVyDSIiYh8KQnaiIFTxGBYLp5evIOnzz8jZ9lfhfp/u3al27z1UadasxOfKys/iuz3fMXvX7MIlPHzdfBnQeACDmwzG38Pf3uWLiIgdKAjZiYJQxWUYBtl//HG2Y/WZP+perVtT9b578b722ktawmPJgSV88tcnxKfF287j6sXAxgMZ2nSoApGISDmjIGQnCkKVQ+6+fSR99hlpP/0M+fkAeDRqRNV77sGvdy9Mrq4lOo/VsLL84HI+/utj4lLiANsToiFNhzCo8SB83H1K7RpERKTkFITsREGocslPSCB5xkxSvv4aIysLALdatah691349+uH2bNknaENw2DV4VW8v/V9dqfsBsDfw5+7rriL/lH98XLzKrVrEBGRf6cgZCcKQpWTJTWV5HnzSJk9B0tKCgAuVasSNGQIgXf2x6WE/62thpWlB5fy/p/vF07OWNWzKvdedS+3NrwVDxeP0roEERG5CAUhO1EQqtys2dmkfvsdyZ9/Tv4xW2dos7c3gQMHEjR8GK6BgSU6T4G1gIX7F/LB1g84mnEUsK1ndt9V99Evsh9uLlrgVUSkLCkI2YmCkHMw8vNJX7SIpE8+JXfPHgDMXl4EDhp0SYEo35rPD3t/4KNtH5GYlQhATZ+aPHj1g1xf73pNzCgiUkYUhOxEQci5GIZBxsqVnHz/fXJ3xQBg8vIiaOBAgu4aXuJAlGvJ5Zvd3/DJX58ULvAaGRDJyJYj6Vizo5buEBEpZQpCdqIg5JwMwyBj1SpOvvfefwpEWflZfBn3JZ9t/6xwYsY2YW0Y1WoUTas2LbX6RUScnYKQnSgIOTdbIFrNqffeI2fXLuDvQDSAoOHDcQ0KKtF50nLT+HT7p8yNmUu+1TZ8v29EXx5t8Sg1fWqWWv0iIs5KQchOFIQE7BeIjmYc5d0/3+V/+/4HgJvZjQGNBnDvVfdqUkYRETtSELITBSH5J8MwyFi9mlPvvU/Ozp3AmUA04E6C7rqrxIFoV9Iupm6eysaEjQD4uftx31X3cWejO3F3cS+1+kVEnIWCkJ0oCElxig1EVarYnhCVMBAZhsGvR39l6pap7E3dC9hGmD3S/BH6RPTBbDKX6jWIiFRmCkJ2oiAkF2MYBhlr1tgC0Y4dgC0QBQ64k6p33YVr1ar/eg6L1cJP8T/x3p/vcSL7BABNqjZhdMvRtKneplTrFxGprBSE7ERBSErCHoEouyCbObvm8NmOz8jMzwSgU61OjGwxksjAyFKtX0SkslEQshMFIbkUhmGQuXYtJ997n5zt24EzgejOO6l6d8kCUVJ2EtO2TeOb3d9QYBRgNpnpF9mPh5o9RIhXSGlfgohIpaAgZCcKQnI57BGIDqQd4J0/32HZwWUAeLp4MqTpEO664i683bxLtX4RkYpOQchOFITkvzAMg8xffrEFor/+AsDk6UnggAElDkRbT2zljc1vsPXkVgCCPIN48OoHuaXhLbiZtYaZiEhxFITsREFI7OGCgejvJ0TVqv3r8SsPreTNP97kYPpBAOr61eXxFo/TrXY3LdkhInIOBSE7URASezIMg8xff+Xke++Rs+2cJ0T33P2vw+7zrfl8u/tbPtz2Ick5yQC0Cm3Fs22fVYdqEZF/UBCyEwUhKQ3FBiIvL4JKuNp9Rl4G03dOZ9bOWeRYcnA1uTK4yWAeuPoBvNy8yuISRETKNQUhO1EQktJU+JXZO+8WDrs3e3sTNHQIQcOG4fIvf+aOZhxlyu9TWHV4FQChXqE81eYpomtH6+syEXFqCkJ2oiAkZaFwtft33iU3NhYAs68vQcOHETRkCC4+Phc9fu2Rtby88WWOZhwF4Joa1/B026ep41en1GsXESmPFITsREFIypJhtXJ6+XJOvfseuXv2AGD296fqXXcRNGggZu8LD5vPKcjhsx2f8dn2z8i35uNmduPuK+/m7ivuxtPVs6wuQUSkXFAQshMFIXEEw2rl9JIlnHzvffLi4wFwCQyk6j13E3jnnZi9LtwP6GD6QSZvnMxvx34DbOuXPdP2GTrV6lQmtYuIlAcKQnaiICSOZFgspC9cxKn33iPvoG3YvEvVqlS99x4C+/fH7Fn8kx7DMFh+aDlTfp9CYlYiAN1rd2dsm7GEeYeVWf0iIo6iIGQnCkJSHhgFBaT9vIBTH3xA/uHDALgGB1P1gfsJvP12TG7FT6yYlZ/FtG3TmL1rNgVGAVVcq/DQ1Q8xsMlATcYoIpWagpCdKAhJeWLk55P244+c+uBD8o8dA8A9IoKQp57Ep3PnC44U25Oyh0kbJvHHiT8AiAyIZFy7cbQIbVFmtYuIlCUFITtREJLyyMjLI/Xbbzn57ntYkm0TK3p36EDI2KfwbNiw+GMMgx/jf2Tq5qmk5KYAcFPkTYxsOZIgz4tP5CgiUtEoCNmJgpCUZ5bTp0n66COSZ87CyM8Hs5mAO24n+JFHLjhLdWpOKm/98Rbf7vkWAD93P0a2HMnNDW7GbDKXZfkiIqVGQchOFISkIsg7fJgTr73O6aVLAdscRNUefJCgQQMxubsXe8y2k9uYuH4icSlxAFwVfBXj2o2jUVCjMqtbRKS0KAjZiYKQVCRZmzaRMHkyubtiAHCrXZvQJ8fg0717sf2HCqwFfBn7Je9tfY/M/EzMJjMDGg1gRLMR+LhffBJHEZHyTEHIThSEpKIxrFbSfviRE29OxXLyFABebdoQ+vRYPBs3LvaYxMxEXt/8OosPLAYgpEoIY9qMoVedXlqqQ0QqJAUhO1EQkorKmpnJqU8+IXn6DIzcXDCZCLj1FoIffRTX4OBij1l3dB0vbXyJQ6cPAdChRgeeafuMluoQkQpHQchOFISkoss/epQTb0wlfeFCAMxeXlR94AGChg7B7OFxXvtcSy6f7/icT//6lDxrHu5md9tSHVfejYfL+e1FRMojBSE7URCSyiLrjz9JfOUVcv76CwC3WrUIfe5ZfLt0Kbb9ofRDvLzx5cKlOsJ9w3m27bNcU/OasipZROSyKQjZiYKQVCaG1Ur6ggWceGMqBYm2pTd8e0QT+vTTuNWocX57w2DZwWVM2TSFE1knAOhRpwdPtX6KUO/QMq1dRORSKAjZiYKQVEbWzExOfvAByTNnQUEBpipVCB7xEEFDhxa7XEdmfiYfbP2AuTFzsRgWvFy9eKjZQwxsPBBXs6sDrkBE5OIUhOxEQUgqs5zdu0l48UWyN28BwD2yPtUnTMCrdeti28clxzFxw0S2ndwGQMPAhoxrN45mIc3KqmQRkRJRELITBSGp7AzDsA23f+21wuU6/G+8kZAnx+Batep57a2GlR/2/sDULVNJy00D4OYGNzOyxUgCPAPKsnQRkQtSELITBSFxFpbUVE689RapX30NhoHZz4+QkY8TcPvtmFxczmufkpPCW3+8xXd7vgMgwCOAUS1HcWPkjVqqQ0QcrqSf3xXmt1VycjIDBw7Ez8+PgIAA7r77bjIyMi7Y/sCBA5hMpmJf8+fPL8PKRSoGl4AAqj//PHW/+hLPJk2wpqeT8MKLHOh/J9k7dp7XPtAzkBc6vMCsPrNoENiA1NxUxq8bz9BFQ4lLjnPAFYiIXLoK80SoT58+HD9+nI8++oj8/HyGDx9O69atmTdvXrHtLRYLJ0+eLLLv448/5rXXXuP48eP4+JRs+QA9ERJnZFgspHz5JSfffAtrRgaYTATeeSfBjz+GSzH/H+Rb85kXM48Ptn5AVkEWLiYXBjYeyEPNHsLbzdsBVyAizq5SfTUWExNDkyZN2LRpE61atQJg8eLF9O3blyNHjlCjmGG/xWnevDktWrTgs88+K/F7KwiJMys4eZLEV18j/eefAXCpWpXQp57E74Ybil16IyEzgVc3vcqyg8sACPEK4anWT9GjTg8t1SEiZapSfTW2fv16AgICCkMQQHR0NGazmY0bN5boHFu2bGHr1q3cfffdpVWmSKXjGhxMzddepfaMGbjXq4clKYljTz7FoSFDyd2797z2Yd5hTO0ylQ+6f0Atn1qcyDrB6DWjeXDFgxxOP+yAKxARubgKEYQSEhIICQkpss/V1ZWgoCASEhJKdI7PPvuMxo0b06FDh4u2y83NJT09vchLxNl5t2tLvR++J3jkSEyenmRt2sS+m/px4o2pWLOyzmvfsVZHvr/xex64+gHczG78dvQ3bvrxJj7c9iF5ljwHXIGISPEcGoTGjh17wQ7Nf79iY2P/8/tkZ2czb968Ej0Nmjx5Mv7+/oWv8PDw//z+IpWByd2davffR70FC/Dp1g0KCkj65BPir7+e0ytWcO637J6unoxoNoLv/u872lVvR541jw+2fsDNP93M+mPrHXQVIiJFObSP0MmTJ0lKSrpom3r16jFnzhxGjx5NSkpK4f6CggI8PT2ZP38+/fr1u+g5Zs+ezd13383Ro0cJvsCq23/Lzc0lNze3cDs9PZ3w8HD1ERI5x+mVK0mc9BL5x44B4NOlC6HPPYt7rVrntTUMgyUHlvDqplc5mW0bxNC7bm/GtB5DiFfIee1FRP6rStlZevPmzbRs2RKApUuX0rt37xJ1lu7SpQvVqlXjm2++ueT3VmdpkQuzZmdz6sNpJE2fDvn5mDw9qfbAAwTdNRyzu/t57TPyMnh/6/vMi52H1bDi7ebNw80epn+j/lqqQ0TsqlIFIbANn09MTGTatGmFw+dbtWpVOHz+6NGjdO/enVmzZtGmTZvC4/bu3UvDhg1ZuHAhvXv3vuT3VRAS+Xe58fEkvDiRrDODF9wjIggbPw7v9u2LbR+TFMOkDZP469RfADQOasxz7Z7jquCryqxmEancKtWoMYC5c+fSqFEjunfvTt++fbn22mv5+OOPC3+en59PXFwcWed03Pz888+pVasWPXv2LOuSRZyGR/361J4xnRqvvYZLtWrk7d/PoeF3cXT0E+SfOHFe+8ZVGzO772zGtx+Pn7sfMckxDFo4iBfWv1C4bIeISFmoME+EHEVPhEQujSU9nZPvvEvKvHlgtWL28SH40UcJHHAnJtfzv/5Kyk7izS1v8mP8jwAEeQYxquUo/q/+/2nuIRG5bJXuqzFHURASuTzZO3eS8MKL5Pxl+/rLo0ljqk+YQJWrry62/ZbELUzaMIm9qbb5iVqEtGBcu3FEBkaWWc0iUnkoCNmJgpDI5TMsFlLnf8OJqVOxpqeDyUTAbbcRMmokLgEB57XPt+YzZ9ccPtz2IdkF2biaXBncZDAPXP0AXm5eZX8BIlJhKQjZiYKQyH9XkJTEidffIO377wFwCQwk5Ikn8O93Eybz+V0Vj2ccZ8qmKaw4tAKwzVg9ts1YuoV309dlIlIiCkJ2oiAkYj9ZmzeT8MIL5O6xff1VpWVLwsaPxzOqYbHt1xxew+TfJ3M04ygAnWt15um2T1PTp2aZ1SwiFZOCkJ0oCInYl5GfT/Ks2Zx8/32MrCxwcSFoyBCqjRiBi8/5K9VnF2TzyV+fMH3ndAqsBXi6ePLA1Q8wpMkQ3FzcHHAFIlIRKAjZiYKQSOnIP36cxMmvcHrpUgBcQ0MJffppfHv1LPbrr32p+5i0cRKbEjYBUN+/Ps+1e45WYa3OaysioiBkJwpCIqUrY+1aEiZOIv+wbXV6744dCXvuWdzr1DmvrWEYLNi3gNc3v05yTjIAN9a/kVGtRhHkGVSmdYtI+aYgZCcKQiKlz5qTQ9LHn5D0yScY+fmY3N2pet99VL33HsweHue1T8tN4+0/3mb+7vkA+Hv4M7LFSPo16IfZVGHmiRWRUqQgZCcKQiJlJ+/AARJenEjmunUAuNWuTdi4cfh0vLbY9ttObmPi+onEpcQB0Cy4GePaj6NhYPGdr0XEeSgI2YmCkEjZMgyD00uWkPjyZArOLM/h26sXoU+PxS0s7Lz2BdYC5sXM4/2t75NVkIWLyYXBTQbz4NUPau4hESemIGQnCkIijmHJyODUu++RPGcOWCyYvbyo9sgjBA0aiMnt/NFiCZkJvLrpVZYdXAZo7iERZ6cgZCcKQiKOlRMbS8LzL5C9dSsAHg0bEvb8BLxatCi2/doja3l548uae0jEySkI2YmCkIjjGVYrad9/z4nXXseSmgqA/803EzLmCVwDA89rr7mHRERByE4UhETKj4KUFE5OnUrq/G8AcPH3J3j0KAJuvbXYpTr2pe5j4oaJbE7cDNjmHhrXfhwtQ1uWad0iUvYUhOxEQUik/Mn6808SXniR3NhYADyvvorqEybg2aTJeW2Lm3vopsibGNVyFIGe5z9NEpHKQUHIThSERMono6CAlHnzOPn2O1gzM8FsJnDgQIIfexQXH5/z2hc399ColqO4KfImzT0kUgkpCNmJgpBI+ZafeIITU14hfeEiAFyCqxE6dix+ffsWO1pMcw+JOAcFITtREBKpGDJ++43EFyeSd/AgAN4d2hM6bhweERHntdXcQyKVn4KQnSgIiVQc1rw8kj79lKRpH2Hk5WFyc6PqvfdS9f77il2qo7i5h55u8zTdancr69JFxM4UhOxEQUik4sk7dIiEiZPI/OUX4N+X6jh37qEutbrwdNunqeFTo8xqFhH7UhCyEwUhkYrJtlTHUhJffvnsUh29e9uW6ggNPa/9uXMPVXGtwv1X3c+QpkNwM2vuIZGKRkHIThSERCo2S0Ymp959l+TZs8FqxeztTfCjjxA4cCAmV9fz2p8791BkQCTPtXtOcw+JVDAKQnaiICRSOeTExNiW6ti2DQCPxo2pPmE8VZo1O6+tYRj8vO9n3tj8huYeEqmgFITsREFIpPIwrFZS53/DialTsaalgclEwG23ETJqJC4BAee1T8tN460/3uKb3baZrDX3kEjFoSBkJwpCIpVPQVISJ157nbQffgDAJSiIkCfH4H/jjcXOPbT1xFYmbpjI7pTdgOYeEqkIFITsREFIpPLK2rSJ4y+8QN7eeAC8WrcmbMJ4PCIjz2tbYC1gbsxc3t/6PtkF2Zp7SKScUxCyEwUhkcrNyMsjaeZMTr3/AUZODri6UnX4cKo99CDmKlXOa5+QmcCU36ew/NByAJpWbcoX131R7JMkEXGckn5+60tuEXFqJnd3qt17L/X/twCfbt2goICkTz5h33XXc3rlqvPah3mH8WbXN3m/+/vU9KnJwMYDFYJEKjA9EfoXeiIk4lxOr1hBwksvUXDsOAA+3bsT9uwzuNU4f3LFnIIcPFw8FIREyiE9ERIRuQy+3btTf8ECqt57D7i6krFiBfHXXU/Sp59i5OcXaevp6qkQJFLBKQiJiJzD7OVFyOjR1Pv+O6q0aomRnc2J199g/803k7V5s6PLExE7UhASEbkAjwYNqDN7NtVffhmXwEBy9+zl4KDBHHv6GQqSkx1dnojYgYKQiMhFmEwmAm7uR72F/yPgttsASPv+e/b16UvK/PkYVquDKxSR/0JBSESkBFwDA6k+8UXqfDEPj0aNsKSlkTBuPAcHDCQnNtbR5YnIZVIQEhG5BF7NmxPxzXxCxj6F2cuL7K1b2X/LrSROfgVLRqajyxORS6QgJOJsspLh+wcgKd7RlVRYJldXqg4bRr2F/8O3Vy+wWEieOZN9111H+pKlaFYSkYpDQUjE2ax9DbZ9Ae+3hUVPQWaSoyuqsNzCwqj19luEf/wRbuHhFCQmcvSxxzh8//3kHT7s6PJEpAQUhEScTfNBEBkN1nzYOA3eaQ6/vgn52Y6urMLy6dSJej//RLWHHsTk5kbm2l/Yd/0NnPrwQ6x5eY4uT0QuQjNL/wvNLC2VVvwqWDYOErbbtv1qQffxcOVtYNbfkS5X7r79JEx8kaz1GwBwj4ggbMJ4vNu1c3BlIs5Fi67aiYKQVGpWK/z1FaycCOlHbfuqXw09JkK9zo6trQIzDIP0Bf8jccoULKdOAeB3/fWEPvUkrsHBDq5OxDkoCNmJgpA4hfxs2PCh7Suy3HTbvgY9oceLENLYsbVVYJb0dE6+9TYpX3wBhoHZ15fgxx8jsH9/TC4uji5PpFJTELITBSFxKpmnYM2rsPkzsBaAyWzrU9T1WfANc3R1FVb29h0kPP88OTt3AuB5xRWETZhAlSuvcHBlIpWXgpCdKAiJU0qKh+UTIOZn27abF3R4BDo8Ch4+jq2tgjIsFlK+/JKTb76FNSMDTCYC77yT4JGP4+Lr6+jyRCodBSE7URASp3ZoAywdB0d+t217h0DXZ6D5YHBxdWxtFVTByZMkTnmV9AULAHAJrkboU2Pxu66vVrIXsSMFITtREBKnZxiw60dY/jyk7LftqxZl6z/UsBfow/uyZK5fT8ILL5J34AAAXu3bETZuPB71IhxbmEgloSBkJwpCImcU5MHmz2HNFMg+s/J63Y7QcyLUaO7Y2iooa14eSZ9+StK0jzDy8jC5uVH13nuoet99mD09HV2eSIWmIGQnCkIi58hOtY0u2/AhWHJt+668DbqNg8A6Di2toso7dIiEiZPI/OUXANzCwwkbPw6fjh0dXJlIxaUgZCcKQiIXkHoYVk6Cv760bbu4Q9v7oeNoqBLo2NoqIMMwOL10GYkvv0xBYiIAvr16EfrM07iFhjq4OpGKR0HIThSERP7Fsa22Gar3r7VtVwmETmOg9T3g6uHQ0ioiS0Ymp959l+Q5c8BiwezlRbVHHyFo0CBMruqgLlJSCkJ2oiAkAgeTMgn188TT7QKTABoG7FkGy8bDyRjbvoA6EP08NO2nDtWXISc2loQJz5O9bRsAHo0aETZhPF7N1R9LpCQUhOxEQUicncVq0PftX8jILeDx6Abc3KIWLuYLBBtLAWydC6tehowE276araDnJKjTvuyKriQMq5XUb77hxBtTsaalARBw222EPvM05ipVHFydSPlW0s9vrawoIhd1JCWLtOx8jqZmM+abv+jz9lqW7Uqk2L9DubhCy6Hw6B/Q5Rlw84ajm2F6b/hyIJzaU/YXUIGZzGYCb7+d+osW4t+vHwC5u3dj8tBXjiL2oidC/0JPhEQgJ9/CzHUH+GB1PGnZ+QC0rBPIU70b0SYi6MIHnk6E1ZPhj5lgWMHkAq2GQ+ex4KPFRy9V1ubNmH398Ixq6OhSRMq9MvtqLCcnh7y8vCL7KlNgUBASOSstO59pa+KZ/tt+cvKtAHRrFMKYXlE0rn6R/z9OxNqW7Ni92Lbt7gvXPgbtRoC7VxlULiLOplSDUFZWFk8++SRff/01SUlJ5/3cYrFc6inLLQUhkfMlpufw9oo9fLXpMBargckENzWryageDQkPukiw2f8LLH0Ojm+1bfvWgG7PwdX9wazV2EXEfkq1j9CYMWNYuXIlH374IR4eHnz66ae88MIL1KhRg1mzZl120SJSMYT6efJyvytZNrIT111VHcOA7/88Src3VvP8Tzs5lZFb/IERHeHeVXDzp+BfG04fgx8fgo86wd4VZXsRIiJc5hOh2rVrM2vWLLp06YKfnx9//PEHkZGRzJ49my+++IKFCxeWRq0OoSdCIv/uryOpvLYkjl/2nALA292FezrW456OEfh6uhV/UH4O/P4x/PI65NhGRFG/G/SYCGFXlFHlIlJZlepXYz4+PuzatYvatWtTq1YtvvvuO9q0acP+/fu58sorycjI+E/FlycKQiIl99veU0xZHMtfR2zBJsjbnYe7RjKwXW08XC/w1VdWMqx93RaKrPmACZoNgK7Pgn/NsiteRCqVUv1qrF69euzfb1uFulGjRnz99dcA/PzzzwQEBFzOKUWkErgmsho/jriG9we0IKKaN8mZeby4YBfd31jDd38cwWIt5u9dXkHQ+2V4eBM0vRkwbHMRvdsSVrwIOellfh0i4jwu64nQm2++iYuLC48++ijLly/nhhtuwDAM8vPzmTp1Ko899lhp1OoQeiIkcnnyLVbmbz7CW8t3c+K0rc9QozBfxvSKolujEEwXmm36yGZbh+pD623bXtWgy1hoOQxcLvA1m4jIOcp0ZumDBw+yZcsWIiMjueqqq/7r6coVBSGR/yY7z8L0dfv5cHU8p3MKAGhd1zYHUau6F5iDyDAg9n+2IfdJe237qkZC9AvQ6Dot2SEi/6pUg9CsWbO444478DhndtO8vDy+/PJLhgwZcukVl1MKQiL2kZqVx4dr4pnx2wFyC2xzEEU3DmFMr0ZEhfkWf5AlH7bMgNWvQJatIza129uW7KjVqmwKF5EKqVSDkIuLC8ePHyckJKTI/qSkJEJCQjSPkIhc0PG0bN5ZsYevNx8pnIOoX3PbHES1Ai8wB1FOOvz2Nqx/DwpybPua9oPuEyAoouyKF5EKo1SDkNlsJjExkeDgolPkb9u2ja5du5KcnHzpFZdTCkIipWPviQzeWBrHoh22xVndXcwMaleHh7tFEuTtXvxBaUdh1UuwdR5ggNkN2twLncbYOl2LiJxRKkGoefPmmEwmtm3bRtOmTXF1dS38mcViYf/+/fTu3btwFFlloCAkUrq2HU5lyuJY1sXbZqn38XDl3jNzEHl7uBZ/UMJ2WDYe4lfatj38odNoaHM/uHmWUeUiUp6VShB64YUXCv85evRofHx8Cn/m7u5O3bp1ueWWW3B3v8Df5iogBSGR0mcYBr/ssc1BtPOYbbh8NR93HunWgDvb1Mbd9QIzfexdYQtEiTts2/61oft4uOIWMF/W7CAiUkmU6ldjM2fO5I477sDTs/L/zUtBSKTsWK0G/9t+nDeWxnEgKQuA8KAqjO4Rxf9dXQOzuZjRYlYLbPsSVk6yLdkBUL2ZrUN1RMeyK15EypUyHT5fmSkIiZS9fIuVrzYd5u0Vezj5jzmInurdiC5RwcXPQZSXBRs+gF/fgrzTtn0Ne9uG3Ic0KrviRaRcsHsQCgwMvPAEaOdQZ2kRsYesvAKm/3aAaavjOZ1rm4OoTUQQT/VuRMs6gcUflHES1kyBzZ+DYQGTGVoMgS7PgG9oGVYvIo5k9yA0c+bMEr/50KFDS9y2vFMQEnG8lMwzcxCtO0DemTmIejQJ5cleUTQIvcAcRKf2wPLnIXaBbdvNG655FDo8Au7eZVO4iDhMpftqLDk5mUceeYSff/4Zs9nMLbfcwttvv12kw/a5EhISGDNmDMuWLeP06dNERUXx7LPPcsstt5T4fRWERMqPY6nZvLV8N99sOYLVALMJbmlRi5E9GlIjoErxBx1cb1uy4+hm27ZPKHR9BpoNApcLjEoTkQqv1INQfHw806dPJz4+nrfffpuQkBAWLVpE7dq1adq06WUXfiF9+vTh+PHjfPTRR+Tn5zN8+HBat27NvHnzLnhMz549SU1N5b333qNatWrMmzePCRMmsHnzZpo3b16i91UQEil/9p44zWtL4liyMxEAd1czQ9vX4aEukQQWNweRYcDO72HFC5BywLYvuDH0eBEa9NCSHSKVUKkGoTVr1tCnTx+uueYa1q5dS0xMDPXq1eOVV15h8+bNfPPNN/+p+HPFxMTQpEkTNm3aRKtWtmn1Fy9eTN++fTly5Ag1atQo9jgfHx8+/PBDBg8eXLivatWqTJkyhXvuuadE760gJFJ+/XEohSmLYtm439Yv0dfDlfs71+OuayPwci/maU9BLmz6DNa+Ctkptn0RnaDHRKjRrOwKF5FSV9LP78uaaGPs2LFMmjSJZcuWFZkzqFu3bmzYsOFyTnlR69evJyAgoDAEAURHR2M2m9m4ceMFj+vQoQNfffUVycnJWK1WvvzyS3JycujSpYvdaxSRsteidiBf3teOGcNb07i6H6dzC3h96W46vbqa2esPkG+xFj3A1QPaPwSP/gkdHgUXd9i/Fj7uDN/dB6mHHXMhIuIwlxWEtm/fTr9+/c7bHxISwqlTp/5zUedKSEg4b10zV1dXgoKCSEhIuOBxX3/9Nfn5+VStWhUPDw/uv/9+vv/+eyIjIy94TG5uLunp6UVeIlJ+mUwmukSF8L9HruXt/s2oHeTFqYxcxv24k+ipa/hx61Gs1nMefFcJhJ4T4eHNcOVttn1/fQXvtrRN0JidWubXISKOcVlBKCAggOPHj5+3/88//6RmzZolPs/YsWMxmUwXfcXGxl5OiQCMGzeO1NRUli9fzubNmxk1ahS3334727dvv+AxkydPxt/fv/AVHh5+2e8vImXHbDZxY7OaLB/VmRdvbEo1H3cOJmXx2JdbueG9X1mz+yTn9QQIrAO3fAr3roK6HcGSa1vc9Z3msOFDKMhzzMWISJm5rD5CTzzxBBs3bmT+/Pk0bNiQP/74g8TERIYMGcKQIUOYMGFCic5z8uRJkpKSLtqmXr16zJkzh9GjR5OSklK4v6CgAE9PT+bPn1/s06n4+HgiIyPZsWNHkc7b0dHRREZGMm3atGLfLzc3l9zc3MLt9PR0wsPD1UdIpILJzC3g81/389HafWScmYOoXT3bHETNaxczB5FhwO4ltidCp+Js+wIjIHoCNLlJHapFKpiS9hG6rLGjL7/8MiNGjCA8PByLxUKTJk0oKChg4MCBPPfccyU+T3Bw8Hkr2Benffv2pKamsmXLFlq2bAnAypUrsVqttG3btthjsrJs0/Obz1lvyMXFBavVWtwhAHh4eODh4VHSSxCRcsrbw5VHujdgYLs6vL9qL7PXH2TDvmT6fbCO3k3DeKJXFJEh/5h+w2SCqN4QGQ1/zoZVL0PKfpg/DGq1sS3ZUbv43zciUnH9p3mEDh8+zPbt28nIyKB58+Y0aNDAnrUV0adPHxITE5k2bVrh8PlWrVoVDp8/evQo3bt3Z9asWbRp04b8/HyaNGlC9erVef3116latSo//PADY8aMYcGCBfTt27dE76tRYyKVw9HUbN5ctpvv/jg7B9FtLcN5vEcDqvsXMwdRbgasexfWvQP5tr9Y0fgG25IdVeuXbfEicsnsPnx+1KhRJX7zqVOnlrhtSSUnJ/Pwww8XmVDxnXfeKZxQ8cCBA0RERLBq1arCUWF79uxh7Nix/Prrr2RkZBAZGckTTzxRZDj9v1EQEqlcdifa5iBatss2B5GHq5nh10TwYOf6+Hu5nX/A6QTb06E/Z4NhBbMrtLoLOj8F3tXKuHoRKSm7B6GuXbsW2f7jjz8oKCggKioKgN27d+Pi4kLLli1ZuXLlfyi9fFEQEqmcthxM5pVFsWw6YOt76F/FjYe61Gdoh7p4urmcf8CJGFv/oT1LbdsefnDt49DuIXC7wKzWIuIwpTqh4tSpU1m9ejUzZ84kMNDW6TAlJYXhw4fTsWNHRo8effmVlzMKQiKVl2EYrIw9wZTFsexOzACgur8nI6MbcnOLmri6FDOwdt8a25IdCX/Ztv1qQrfn4Kr+YL6sgbgiUgpKNQjVrFmTpUuXnreUxo4dO+jZsyfHjh279IrLKQUhkcrPYjX4/s+jTF0ax7G0HAAahPgwplcUPZqEYjp3xJjVCtvnw8qJkHZmEsawK20zVNfviog4XqnOLJ2ens7JkyfP23/y5ElOnz59OacUEXEYF7OJW1vWYuUTXXjuusYEeLmx50QG983ewq3T1rPpQHLRA8xmuPoO24SM0S+Ahz8kbIfZN8GcWyBxp0OuQ0Qu3WU9ERoyZAi//PILb7zxBm3atAFg48aNjBkzho4dOzJz5ky7F+ooeiIk4nzSsvP5aE08n/+2n5x823Qb0Y1DGNOrEVFhvucfkJkEa1+DTZ+AtQBMZmg2ALo+C37Fr4UoIqWrVL8ay8rK4oknnuDzzz8nPz8fsC15cffdd/Paa6/h7e19+ZWXMwpCIs4rMT2Ht5bv4evNh7FYDcwmuLlFLUb2aEjNgGI6SCfF21a43/Wjbdu1CnR4GK55DDyKCVAiUmpKNQj9LTMzk/j4eADq169fqQLQ3xSERCT+ZAavL4lj0Q7b2oburmaGtq/DQ10iCfR2P/+Aw7/bOlQfPrMotHcwdBkLLYaBy2XNYysil6hMgpAzUBASkb/9eSiFKYtj2bDP1mfI19OVBzrX565rIqjifs6Qe8OAmJ9h+fOQbPsLI1UbQPTz0Og6LdkhUsoUhOxEQUhE/skwDNbsPskri2KJTbANDgn18+Cx7g25vVWt84fcW/Jh83RY8wpknVlbMbwd9JwI4W3KuHoR56EgZCcKQiJSHKvV4MdtR3lj6W6OpGQDUC/Ymyd7RdGradj5Q+5z0mwr26//AAps7Wn8f9B9AlSLLOPqRSo/BSE7URASkYvJLbAwd8Mh3lu1l+TMPACahQcwtk8j2tWrev4B6cdsS3ZsnXt2yY6Ww2xLdviElG3xIpWYgpCdKAiJSEmczsnnk7X7+PTX/WTlWQDoEhXMk70a0aRGMb87EnfZ+g/tWWLbdvexjS5rPwLcK9/AE5GypiBkJwpCInIpTpzO4d0Ve/ni90MUWA1MJripWU1G9WhIeJDX+Qfs/wWWjYNjf9q2fUKhy9PQfLBGmIn8BwpCdqIgJCKX48CpTF5fGseCv44D4O5iZmC72jzcNZKqPh5FG1utsOt7WP4CpB607avW0DZrdVQfjTATuQwKQnaiICQi/8X2I2m8sjiG3/baRoz5eLhyf6d63N0xAi/3c574FOTB5s9hzRTIPrOsR+0OthFmtVqVceUiFZuCkJ0oCImIPfyy5yRTFsey42g6ANV8PHgsugH9W4fjdu6Q+5w0+PUt2PABFNgWgaXJTdB9PFStX6Z1i1RUCkJ2oiAkIvZitRos2H6c15fEcSg5C4C6Vb14olcUfa+ojtl8zldgaUdh9cvw51zAsI0wa3UXdHoSfILL/gJEKhAFITtREBIRe8srsPLlpkO8s2IPpzJsQ+6vquXPU70bcU1ktfMPSNx5ZoTZUtu2uy9c+xi0e0gjzEQuQEHIThSERKS0ZOYW8Okv+/l4bTyZZ4bcd2xQjad6N+KKmv7nH7BvDSwbD8e32rZ9wqDrM9BsoEaYiZxDQchOFIREpLSdysjlvZV7mbvxIPkW26/k/7u6BqN7NqRO1XOe+FitsPM7WPHi2RFmwY1sa5g17K0RZiJnKAjZiYKQiJSVQ0lZvLEsjh+3HgPA1WxiYNvaPNytAcG+5wy5L8iFTZ/B2lchO8W2r8610ONFqNWyjCsXKX8UhOxEQUhEytqOo2m8uiSOtbtPAuDl7sK9Hetxb6d6+Hic8xVYdir8+iZsnHZ2hFnTfrYRZkH1yrZwkXJEQchOFIRExFHW7T3FlMWxbDuSBkBVb3ce6RbJgLZ1cHc9Z8h92pEza5jNwzbCzA1a3w2dxoB3MR2wRSo5BSE7URASEUcyDINFOxJ4bUkc+09lAlA7yIvRPRtyw1U1zh9yn7DDNsJs7zLbtrsvXPv4mRFmxSzxIVJJKQjZiYKQiJQH+RYrX28+zFvL93DydC4ATar78VSfRnRqUA3TuZ2k960+M8Jsm23btzp0fRaaDQCzS9kWL+IACkJ2oiAkIuVJVl4Bn/+6n4/W7ON0bgEAHepX5anejbg6PKBoY6sVdnwLK1+E1EO2fcGNbR2qG/TQCDOp1BSE7ERBSETKo+TMPN5ftZfZ6w+SZ7ECcN2V1XmiVxQR1c4Zcl+QC5s+hTWvQk6qbV/djrZAVLNF2RYuUkYUhOxEQUhEyrMjKVlMXbab7/88imGAi9lE/9bhPNa9ASF+nkUbZ6fYRphtmAYW29drXHELdBsHQRFlX7xIKVIQshMFIRGpCGIT0nl1cRwrY08AUMXNhbuvjeC+zvXw83Qr2jj1MKx6CbZ9ydkRZvecGWFWteyLFykFCkJ2oiAkIhXJxn1JvLI4lj8PpQIQ6OXGiK6RDG5fBw/XczpJJ2yHZRMgfoVt28MPrh0J7R4EtyplW7iInSkI2YmCkIhUNIZhsGRnIq8tiSX+pG3Ifc2AKozq0ZCbmtfE5dwh9/ErbSPMErbbtv1q2tYwu/pOjTCTCktByE4UhESkoiqwWPlmyxHeXL6bxHRbn6BGYb481bsRXaKCiw65t1phxzewYiKknRlhFtLE1qE6MlojzKTCURCyEwUhEanosvMszFh3gA9X7yU9xzbkvk1EEGP7NKJF7cCijfNzYNMnsPb1syPMIjrZAlGN5mVbuMh/oCBkJwpCIlJZpGbl8eHqeKavO0BegW3Ifa+moYzp1YjIEJ+ijbNT4JepsPGjf4wwuxW6j4PAumVbuMhlUBCyEwUhEalsjqVm89by3Xyz5QhWA8wmuKN1OI91b0iY/zlD7lMPwcqX4K+v0AgzqUgUhOxEQUhEKqvdiad5bUkcy3YlAuDhamb4NRE82Lk+/l7nDLk//hcsn2DrWA1n1jB77MwaZudM4ChSDigI2YmCkIhUdpsPJPPKolg2H0wBwL+KGyO61mdI+7p4up0zaix+lS0Q/b2GmU8odBkLzYeAi2sZVy5yYQpCdqIgJCLOwDAMVsSc4NUlsexOzACgur8nI3s05JYWtYoOubdaYed3sHIipByw7asaCd0nQOMbNMJMygUFITtREBIRZ2KxGnz3xxHeXLabY2k5ADQM9WFMr0ZENw4pOuS+IA+2TIc1UyArybavVmvbCLM6HRxQvchZCkJ2oiAkIs4oJ9/C7PUHeW/VXtKy8wFoVSeQsX0a0apu0DmN02Hdu7D+PcjPsu1r2Nv2hCi0SRlXLmKjIGQnCkIi4szSsvOZtiae6b/tJyffNuQ+unEoT/aOomGob9HGpxNtT4e2zADDAiYzXD0Auj4N/rXKvnhxagpCdqIgJCICiek5vLV8D19vPozFamA2wS0tajGyR0NqBJyzLtmpvbDyRdj1o23bxQPa3g8dR0GVwPNPLlIKFITsREFIROSsvScyeH1JHIt3JgDg7mpmWIe6PNSlPgFe7kUbH9lsW9T14K+2bU9/6Dga2tynRV2l1CkI2YmCkIjI+f44lMKURbFs3J8MgK+nKw92qc/wDhFUcf/HkHvDgD3LbEPuT+yy7dOirlIGFITsREFIRKR4hmGwevdJpiyKJTbhNAChfh48Ht2Q21rWwtXFfLax1WKbnXrlS5B+xLYvuDFEPw8Ne2nIvdidgpCdKAiJiFycxWrw49ajvLF0N0dTswGoF+zNk72i6NU0rOiQ+/wc+P1j+OWNs4u61rkGol+A8NZlX7xUWgpCdqIgJCJSMrkFFuZsOMR7K/eQkmUbct8sPICxfRrRrt4565Jlp8Cvb8HGaVBgm6+IxjfYhtxXa1C2hUulpCBkJwpCIiKXJj0nn0/W7uPTX/aTnW8BoGtUME/1aUSjsHN+j6YdgdWTYes8MKxgcoEWQ2zLdviGOaB6qSwUhOxEQUhE5PKcOJ3DOyv28OXvhymwGpjODLkfVdyQ+xMxsPwF2L3Itu3mZVvQ9ZrHwFO/e+XSKQjZiYKQiMh/s/9UJq8tiWXhdtuQ+8JV7rvUx7/KOavcH1xnG3J/5HfbtldV6DQGWt0Frh5lXLlUZApCdqIgJCJiH38eSmHyolh+PzPkPsDLjYe7RjK4fR08XM8Zch+7wPaEKGmPbV9AHeg2Dq64BczmYs4uUpSCkJ0oCImI2M/fq9xPWRzLnhO2Ve5rBlThiV4NufHqmpj/ucq9pQD+nA2rX4EM29Mkwq60jTCL7O6A6qUiURCyEwUhERH7K7BY+faPI0xdtpvE9FwAmlT3Y2yfRnRqGFy0cV4mbPgQfnsbctNt++p1sc1BVKN5mdYtFYeCkJ0oCImIlJ7sPAuf/7afaavjOZ1bAMC1kdUY26cRV9T0L9o4Mwl+eR1+/wSstuH5XHGL7SuzoIgyrlzKOwUhO1EQEhEpfcmZeby3ci+zNxwg32L7WLqxWQ2e6BlFeJBX0cYpB2wzVG//2rZtdrN1pu40BnzOeZokTktByE4UhEREys7h5CxeXxrHj1uPAeDuYmZw+zo83DWSQO9zFnU9vs3WoTp+hW3b3cc23L7dQ+DhU8aVS3mjIGQnCkIiImVvx9E0XlkUy697TwFnF3W965oIPN3OWah132rbkPvjW23b3iG2CRlbDAUX1zKtW8oPBSE7URASEXGctbtPMnlRLDHHbZ2kawZU4Zm+jel75TlrmFmtsOt7WPGi7aszgOBG0GMiNOihRV2dkIKQnSgIiYg4ltVq8OO2o7y2OI5jabZ1ydpGBDHhhqY0qXHO7+WCPNgy3TbkPts2XxH1ukLPSRB2RRlXLo6kIGQnCkIiIuVDdp6FaWvimbYmntwCK2YT3NmmNqN7RhF0bv+h7FTbCLONH4ElD0xmaDYQuo8HnxCH1C9lS0HIThSERETKl6Op2by8MIb//XUcAD9PVx6Pbsjg9nVwczln1unk/bD8edj1g23bww+6PA1t7gWXc5b3kEpFQchOFIRERMqnjfuSeOHnXew6038oMsSH8dc3OX9CRoBDG2DxWDj2p207uDH0mQL1OpdhxVKWFITsREFIRKT8slgNvtp0mNeXxpGcmQdAdONQnruuMXWreRdtbLXaluxY/vzZ/kNNboJeL4F/rTKtW0qfgpCdKAiJiJR/adn5vL18D7PWH6DAauDmYuKuayN4pFsDfDzOGUKflQyrXobNn4FhBTcv6DgaOjyiFe4rEQUhO1EQEhGpOPaeOM2LC2JYu/skAMG+HjzZK4pbWtQquqArQMJ2WDgGDq23bQfVg96vQMNeZVy1lAYFITtREBIRqVgMw2Bl7AkmLtjFgaQsAK6u5c+E/2tKi9qB5zaG7fNh6bizK9w37A29J9uCkVRYCkJ2oiAkIlIx5RZYmPHbAd5duZeMMwu63ty8Jk/1aUSon+c5jU/DmldhwwdgLQAXd+jwKHQcBe7exZxdyjsFITtREBIRqdhOnM7htcVxzN9yBAAvdxdGdI3k7muLWa7j5G5Y9CTsW2Xb9qsFvSbZOlVrduoKRUHIThSEREQqh22HU3nh5538cSgVgPCgKjzbtwm9moYWXa7DMCB2ASx+BtIO2fZFdII+r0FIo7IvXC6LgpCdKAiJiFQehmHw49ZjTF4UQ2J6LgDXRFZl/PVNiQrzLdo4Lwt+ext+fRMsuWB2hTb3Q5enwNPfAdXLpVAQshMFIRGRyiczt4APV8fz8S/7yCuw4mI2MahtbUb2aEiA1znLdSTvhyXPQtz/bNveIdDjRbjqDjCbzz+5lAsl/fyuMP8Fk5OTGThwIH5+fgQEBHD33XeTkZFx0WPi4+Pp168fwcHB+Pn5cfvtt5OYmFhGFYuISHnl7eHKE72iWD6yM72bhmGxGsxcf5Aur69m9voDFFisZxsHRcCd82DgtxBUHzJPwA8PwOe94NhWh12D2EeFCUIDBw5k586dLFu2jAULFrB27Vruu+++C7bPzMykZ8+emEwmVq5cyW+//UZeXh433HADVqv1gseJiIjzqF3Vi2mDWzLvnrZEhfqSmpXPuB93ct07v7Ju76mijRtEw0PrIfp5cPOGI7/Dx11gwUjbJI1SIVWIr8ZiYmJo0qQJmzZtolWrVgAsXryYvn37cuTIEWrUqHHeMUuXLqVPnz6kpKQUPhJLS0sjMDCQpUuXEh0dXaL31ldjIiLOocBi5YvfD/HGst2kZuUD0LtpGM9e15jwIK+ijdOP2eYe2vGNbbtKIHQbBy2HgfmckWjiEJXqq7H169cTEBBQGIIAoqOjMZvNbNy4sdhjcnNzMZlMeHicnS7d09MTs9nMr7/+Wuo1i4hIxeLqYmZw+7qsfqILQ9vXwcVsYvHOBLpPXcNrS2LJPDMXEQB+NeDWz2DY/yCkKWSnwP9G2Z4QHSr+c0nKpwoRhBISEggJCSmyz9XVlaCgIBISEoo9pl27dnh7e/PUU0+RlZVFZmYmTzzxBBaLhePHj1/wvXJzc0lPTy/yEhER5xHg5c4LN17Bwkc70qF+VfIKrLy/Kp5ub6zm+z+PUOSLlLrXwv1roc+r4OEPCX/B5z3h+wfgtPqkVgQODUJjx47FZDJd9BUbG3tZ5w4ODmb+/Pn8/PPP+Pj44O/vT2pqKi1atMB8kV7+kydPxt/fv/AVHh5+uZcnIiIVWFSYL3PvactHg1sSHlSFxPRcRn61jVs+XMe2w6lnG7q4Qtv74ZEt0Hywbd+2L+DdlrDuPbDkO6R+KRmH9hE6efIkSUlJF21Tr1495syZw+jRo0lJSSncX1BQgKenJ/Pnz6dfv34XPcepU6dwdXUlICCAsLAwRo8ezZgxY4ptm5ubS25ubuF2eno64eHh6iMkIuLEcvItfPbrft5ftZesPAsAt7WsxZjeUYT4nrNcx5EtsPAJOPaHbbtaFPR9Fep1KduinVylmkfo787SmzdvpmXLloCtM3Tv3r0v2Fm6OCtXriQ6OpqYmBiioqJKdIw6S4uIyN8S0nJ4dXEs3/15FAAfD1ce6RbJsGvq4uH6j07SVitsnQPLn4esM3/hb3Ij9HwJAvRNQ1moVEEIoE+fPiQmJjJt2jTy8/MZPnw4rVq1Yt68eQAcPXqU7t27M2vWLNq0aQPA9OnTady4McHBwaxfv57HHnuMYcOG8cYbb5T4fRWERETkXFsOpvDizzvZdiQNgLpVvXjuuiZ0bxxSdLmO7BRY9TJs+hQMK7hWgU6jof0j4OZ5gbOLPVS6IJScnMzDDz/Mzz//jNls5pZbbuGdd97Bx8cHgAMHDhAREcGqVavo0qULYOuDNGPGDJKTk6lbty4PPPAAI0eOLPqH9F8oCImISHGsVoPv/jzKlMWxnDxt61LRsUE1xl/fhAah5yzXkbAdFj4Jh9bZtgPrQu8pENW7bIt2IpUuCDmKgpCIiFxMRm4B763cy+e/7ifPcna5jsejGxLo/Y/lOgwDtn8Dy8bB6TOjlxv0hN6vQNX6jim+ElMQshMFIRERKYkDpzJ5eWEMS3fZhs37V3Hj8egGDGpXBzeXf4xWzj0Na1+D9R+ANR9c3KHDI9BxNLh7O6j6ykdByE4UhERE5FKs23uKFxfsIjbhNACRIT48d11jukQVnQ+PU3tg0ZMQv9K27VcTek6Cpv3gErpwSPEUhOxEQUhERC6VxWrw5aZDvLF0N8mZeQB0iQrmueuaEBnic7ahYUDs/2DJ05B6yLavbkfo+xqENHZA5ZWHgpCdKAiJiMjlSsvO572Ve5ix7gD5FgNXs4lB7erweHQDArz+0X8oPxt+ext+fRMKcsDkYpuksctY8PR33AVUYApCdqIgJCIi/9X+U5m89L8YlsfY+g8FeLkxqkdDBrSpjes/+w+lHIQlz0DsAtu2dzD0eBGu6g8XWRVBzqcgZCcKQiIiYi+/7DnJxAW72J2YAUCDEB/GXd+ETg2DizbcuxwWPQVJe23btVrbvi6r0byMK664FITsREFIRETsqcBi5YtNh5m6NI6ULNs6ZN0bhfDMdY2pH/yP/kMFebDxQ1jzKuRlACZoORS6jQfvqo4pvgJRELITBSERESkNaVn5vLNyDzPXHaDAaus/NLRDXR7t1gB/L7ezDdOPw7LxsP1r27ZnAHR7DlrdBWaXYs8tCkJ2oyAkIiKlKf5kBi/9L4aVsScACPRyY1TPKO5sHV60/9CB32zD7RN32LbDroS+r0Ptdg6ouvxTELITBSERESkLa3afZNKCXew5Yes/FBXqy7jrm3Btg2pnG1kKYPPnsGoS5NjWOeOq/tDjBfANc0DV5ZeCkJ0oCImISFkpsFiZ9/shpi7bTeqZ/kPRjUN59rrGRFT7x6zTmadgxQvwx2zAAHdf6PIUtH0AXNyKP7mTURCyEwUhEREpa6lZeby1fA+zNxzEYjVwczExrENdHuneAD/PfwSdo1tg4RjbPwGqNYQ+U6B+N8cUXo4oCNmJgpCIiDjK3hOnmfS/GFbHnQSgqrc7o3o2pH/r2riYzyzDYbXC1rmw/HnIOmXb1/j/oNdLEFDbMYWXAwpCdqIgJCIijrYq7gSTFuwi/mQmAI3CfBl/fRM6RP6j/1B2KqyeDL9/AoYFXKtAx1HQ4VFw83RM4Q6kIGQnCkIiIlIe5FuszNlwkLeW7yEt29Z/qGeTUJ7p25i6/+w/lLgTFj4JB3+1bQfWhV6TIaqPUy3mqiBkJwpCIiJSnqRk5vHW8t3M2XiosP/QXddEMKJb5Nn+Q4YBO76Fpc/B6eO2fZE9bP2HqtZ3XPFlSEHIThSERESkPNqdeJqJC3bxyx5bv6BqPu6M7hnF7a3Cz/Yfys2AX16Hde+BNR9c3KH9COj4BHj4XOTsFZ+CkJ0oCImISHllGMaZ/kMx7Dtl6z/UuLof469vQvv6/1iG49ReWPyUbQ0zAN8a0HMiXHFLpf26TEHIThSERESkvMsrsDJ7w0HeXr6b9JwCAHo3DeOZvo2pXdXL1sgwIG4RLB4LqQdt++pcC31fhdCmDqq89CgI2YmCkIiIVBTJmXm8uWw3czcexGqAu4uZu66NYETX+vj+3X8oPxt+ewd+nQoFOWBygTb3QpenoUqAQ+u3JwUhO1EQEhGRiiYuwdZ/6Ne9f/cf8mB0z4ZF+w+lHISlz0LMz7Ztr2q2pTquHgBm8wXOXHEoCNmJgpCIiFREhmGwIuYELy2MYf+ps/MPPXtdYzo2CD7bMH4lLHoKTu22bddsBX1fg5otHFC1/SgI2YmCkIiIVGR5Bbb5h95ecXb+oa5RwTx7XWMiQ3xtjQryYOM0WDMF8jIAE7QYDN0ngHe1C5+8HFMQshMFIRERqQxSs/J4e8UeZq8/SIHVwMVsYmDb2jzWvQFVfTxsjdKPw/IJ8NdXtm1Pf+j6LLS6G1xcHVf8ZVAQshMFIRERqUz2ncxg8qJYlu1KBMDX05VHukUytENdPFxdbI0OrodFYyBhu207pKltdFndax1U9aVTELITBSEREamM1sWfYtKCGHYdTwcgPKgKT/dpTJ8rwjCZTGC1wJbpsHISZKfYDmp6M/ScBP41HVh5ySgI2YmCkIiIVFYWq8F3fxzhtSVxnDidC0CrOoE8d30TmoUH2BplJdvC0JbpYFjBzQs6joYOj4Crh+OK/xcKQnaiICQiIpVdVl4BH63Zx0dr48nJtwJwU7MajOndiJoBVWyNjm+zLeZ6eINtOzACer8CUb0dVPXFKQjZiYKQiIg4i4S0HF5bEse3fxwBwMPVzL0d6/FAl/r4eLjaZqfePh+WjoOMBNtBDXraAlE5W8xVQchOFIRERMTZbD+SxqT/7WLj/mTANiHjEz0bctvfEzLmnoa1r8H6D84u5tp/HjTo4eDKz1IQshMFIRERcUaGYbB0VyKTF8ZwICkLsE3I+Nx1Tbi2wZm5hU7tsa1dlrAdHt4MnuXnc1JByE4UhERExJkVt6Brt0YhPN2nEQ1CfW1fl51OAL/qDq60KAUhO1EQEhERgZTMPN5ZeXZCRrMJ+repzcjohgT7lr/RYwpCdqIgJCIicta+kxm8siiWpWcmZPR2d+GBzvW5p2M9qri7OLi6sxSE7ERBSERE5Hwb9yXx8sIYth1JAyDMz5PRPRtyc4taZ1e4dyAFITtREBIRESme1Wrw81/HeHVxHEdTswFoUt2PZ/o2Ptuh2kEUhOxEQUhEROTicvItzFx3gPdW7eX0mQ7VXaKCebpPY6LCfB1Sk4KQnSgIiYiIlExyZh7vrNjDnA1nO1Tf0TqckT0aEuLrWaa1KAjZiYKQiIjIpdl/KpMpi2JZvNM2+7SXuwv3d6rPvZ0i8HJ3LZMaFITsREFIRETk8mw6kMyk/8Ww7XAqACG+HjzRM4pbWpZ+h2oFITtREBIREbl8hmGw4K/jTFkcy5EUW4fqRmG+PNO3MZ0aBpfa+yoI2YmCkIiIyH+XW2Bh1rqDvLtyT+EM1Z0aBvNM30Y0CrP/56uCkJ0oCImIiNhPSmYe767cy+wNB8i32DpUj+nViAe72Hf1+pJ+fpvt+q4iIiIiFxHo7c74G5qwbGRn+l4ZhtWA5rUDHFZP2XTdFhEREfmHutW8+WBgS/aeOE1kiGPmGgI9ERIREREHcmQIAgUhERERcWIKQiIiIuK0FIRERETEaSkIiYiIiNNSEBIRERGnpSAkIiIiTktBSERERJyWgpCIiIg4LQUhERERcVoKQiIiIuK0FIRERETEaSkIiYiIiNNSEBIRERGnpSAkIiIiTktBSERERJyWgpCIiIg4LQUhERERcVoKQiIiIuK0FIRERETEaSkIiYiIiNNSEBIRERGnpSAkIiIiTktBSERERJyWgpCIiIg4rQoThF566SU6dOiAl5cXAQEBJTrGMAzGjx9P9erVqVKlCtHR0ezZs6d0CxUREZEKo8IEoby8PG677TYefPDBEh/z6quv8s477zBt2jQ2btyIt7c3vXr1IicnpxQrFRERkYrCZBiG4egiLsWMGTN4/PHHSU1NvWg7wzCoUaMGo0eP5oknngAgLS2N0NBQZsyYQf/+/Uv0funp6fj7+5OWloafn99/LV9ERETKQEk/v13LsKYytX//fhISEoiOji7c5+/vT9u2bVm/fn2Jg9DfsvIKcM0rsHeZIiIiUgqySviZXWmDUEJCAgChoaFF9oeGhhb+rDi5ubnk5uYWbqenpwPQ5qUVmD28SqFSERERsTdrblaJ2jm0j9DYsWMxmUwXfcXGxpZpTZMnT8bf37/wFR4eXqbvLyIiImXHoU+ERo8ezbBhwy7apl69epd17rCwMAASExOpXr164f7ExESaNWt2weOefvppRo0aVbidnp5OeHg4vz/bXX2EREREKoj09HSqv/Xv7RwahIKDgwkODi6Vc0dERBAWFsaKFSsKg096ejobN2686MgzDw8PPDw8ztvv5e6Kl3ul/SZRRESkUiko4Wd2hRk+f+jQIbZu3cqhQ4ewWCxs3bqVrVu3kpGRUdimUaNGfP/99wCYTCYef/xxJk2axE8//cT27dsZMmQINWrU4KabbnLQVYiIiEh5UmEecYwfP56ZM2cWbjdv3hyAVatW0aVLFwDi4uJIS0srbPPkk0+SmZnJfffdR2pqKtdeey2LFy/G09OzTGsXERGR8qnCzSNU1jSPkIiISMVT0s/vCvPVmIiIiIi9KQiJiIiI01IQEhEREaelICQiIiJOS0FIREREnJaCkIiIiDgtBSERERFxWgpCIiIi4rQUhERERMRpKQiJiIiI06owa405yt8rkKSnpzu4EhERESmpvz+3/20lMQWhf3H69GkAwsPDHVyJiIiIXKrTp0/j7+9/wZ9r0dV/YbVaOXbsGL6+vphMJkeXUymkp6cTHh7O4cOHtZBtKdE9Ll26v6VL97d0Ocv9NQyD06dPU6NGDczmC/cE0hOhf2E2m6lVq5ajy6iU/Pz8KvX/hOWB7nHp0v0tXbq/pcsZ7u/FngT9TZ2lRURExGkpCImIiIjTUhCSMufh4cGECRPw8PBwdCmVlu5x6dL9LV26v6VL97codZYWERERp6UnQiIiIuK0FIRERETEaSkIiYiIiNNSEBK7eP/996lbty6enp60bduW33///aLtU1NTGTFiBNWrV8fDw4OGDRuycOHCwp8///zzmEymIq9GjRqV9mWUW5dyf7t06XLevTOZTFx33XWFbQzDYPz48VSvXp0qVaoQHR3Nnj17yuJSyiV7399hw4ad9/PevXuXxaWUW5f6O+Ktt94iKiqKKlWqEB4ezsiRI8nJyflP56zM7H1/nep3sCHyH3355ZeGu7u78fnnnxs7d+407r33XiMgIMBITEwstn1ubq7RqlUro2/fvsavv/5q7N+/31i9erWxdevWwjYTJkwwmjZtahw/frzwdfLkybK6pHLlUu9vUlJSkfu2Y8cOw8XFxZg+fXphm1deecXw9/c3fvjhB2Pbtm3G//3f/xkRERFGdnZ2GV1V+VEa93fo0KFG7969i7RLTk4uoysqfy71Hs+dO9fw8PAw5s6da+zfv99YsmSJUb16dWPkyJGXfc7KrDTurzP9DlYQkv+sTZs2xogRIwq3LRaLUaNGDWPy5MnFtv/www+NevXqGXl5eRc854QJE4yrr77a3qVWSJd6f8/15ptvGr6+vkZGRoZhGIZhtVqNsLAw47XXXitsk5qaanh4eBhffPGFfYuvAOx9fw3DFoRuvPFGe5daYV3qPR4xYoTRrVu3IvtGjRplXHPNNZd9zsqsNO6vM/0O1ldj8p/k5eWxZcsWoqOjC/eZzWaio6NZv359scf89NNPtG/fnhEjRhAaGsoVV1zByy+/jMViKdJuz5491KhRg3r16jFw4EAOHTpUqtdSHl3O/T3XZ599Rv/+/fH29gZg//79JCQkFDmnv78/bdu2LfE5K4vSuL9/W716NSEhIURFRfHggw+SlJRk19orisu5xx06dGDLli2FX+/s27ePhQsX0rdv38s+Z2VVGvf3b87yO1hrjcl/curUKSwWC6GhoUX2h4aGEhsbW+wx+/btY+XKlQwcOJCFCxeyd+9eHnroIfLz85kwYQIAbdu2ZcaMGURFRXH8+HFeeOEFOnbsyI4dO/D19S316yovLuf+/tPvv//Ojh07+Oyzzwr3JSQkFJ7j3HP+/TNnURr3F6B3797cfPPNREREEB8fzzPPPEOfPn1Yv349Li4udr2G8u5y7vGAAQM4deoU1157LYZhUFBQwAMPPMAzzzxz2eesrErj/oJz/Q5WEJIyZ7VaCQkJ4eOPP8bFxYWWLVty9OhRXnvttcIg1KdPn8L2V111FW3btqVOnTp8/fXX3H333Y4qvcL57LPPuPLKK2nTpo2jS6mULnR/+/fvX/jvV155JVdddRX169dn9erVdO/evazLrHBWr17Nyy+/zAcffEDbtm3Zu3cvjz32GBMnTmTcuHGOLq/CK8n9dabfwQpC8p9Uq1YNFxcXEhMTi+xPTEwkLCys2GOqV6+Om5tbkb8ZN27cmISEBPLy8nB3dz/vmICAABo2bMjevXvtewHl3OXc379lZmby5Zdf8uKLLxbZ//dxiYmJVK9evcg5mzVrZp/CK4jSuL/FqVevHtWqVWPv3r1OF4Qu5x6PGzeOwYMHc8899wC2MJmZmcl9993Hs88++5/+u1U2pXF/zebze81U5t/B6iMk/4m7uzstW7ZkxYoVhfusVisrVqygffv2xR5zzTXXsHfvXqxWa+G+3bt3U7169WJDEEBGRgbx8fFFPridweXc37/Nnz+f3NxcBg0aVGR/REQEYWFhRc6Znp7Oxo0b//WclU1p3N/iHDlyhKSkJKf78wuXd4+zsrLO+zD++y9OhmH8p/9ulU1p3N/iVOrfwY7tqy2VwZdffml4eHgYM2bMMHbt2mXcd999RkBAgJGQkGAYhmEMHjzYGDt2bGH7Q4cOGb6+vsbDDz9sxMXFGQsWLDBCQkKMSZMmFbYZPXq0sXr1amP//v3Gb7/9ZkRHRxvVqlUzTpw4UebX52iXen//du211xp33HFHsed85ZVXjICAAOPHH380/vrrL+PGG2906uHz9ry/p0+fNp544glj/fr1xv79+43ly5cbLVq0MBo0aGDk5OSU+vWUR5d6jydMmGD4+voaX3zxhbFv3z5j6dKlRv369Y3bb7+9xOd0JqVxf53pd7CCkNjFu+++a9SuXdtwd3c32rRpY2zYsKHwZ507dzaGDh1apP26deuMtm3bGh4eHka9evWMl156ySgoKCj8+R133GFUr17dcHd3N2rWrGnccccdxt69e8vqcsqdS72/sbGxBmAsXbq02PNZrVZj3LhxRmhoqOHh4WF0797diIuLK81LKNfseX+zsrKMnj17GsHBwYabm5tRp04d495773XKD+h/upR7nJ+fbzz//PNG/fr1DU9PTyM8PNx46KGHjJSUlBKf09nY+/460+9grT4vIiIiTkt9hERERMRpKQiJiIiI01IQEhEREaelICQiIiJOS0FIREREnJaCkIiIiDgtBSERERFxWgpCIiIi4rQUhESk3DKZTPzwww+OLkNEKjEFIRG5LIcPH+auu+6iRo0auLu7U6dOHR577DGSkpIcXVqpGzZsGCaT6bzX3r17mTZtGr6+vhQUFBS2z8jIwM3NjS5duhQ5z+rVqzGZTMTHxwNQt27dwnNVqVKFunXrcvvtt7Ny5crzajh06BDXXXcdXl5ehISEMGbMmCLvKSIloyAkIpds3759tGrVij179vDFF18UBoC/V7xOTk52dIkXlJeXZ5fz9O7dm+PHjxd5RURE0LVrVzIyMti8eXNh219++YWwsDA2btxITk5O4f5Vq1ZRu3Zt6tevX7jvxRdf5Pjx48TFxTFr1iwCAgKIjo7mpZdeKmxjsVi47rrryMvLY926dcycOZMZM2Ywfvx4u1ybiDNREBKRSzZixAjc3d1ZunQpnTt3pnbt2vTp04fly5dz9OhRnn32WcD2hOPll1/mrrvuwtfXl9q1a/Pxxx8XnicvL4+HH36Y6tWr4+npSZ06dZg8eXKR9zp16hT9+vXDy8uLBg0a8NNPPxX5+Zo1a2jTpg0eHh5Ur16dsWPHFnky0qVLFx5++GEef/xxqlWrRq9evQDYsWMHffr0wcfHh9DQUAYPHsypU6dKfA88PDwICwsr8nJxcSEqKorq1auzevXqwrarV6/mxhtvJCIigg0bNhTZ37Vr1yLn9fX1JSwsjNq1a9OpUyc+/vhjxo0bx/jx44mLiwNg6dKl7Nq1izlz5tCsWTP69OnDxIkTef/99+0W9ESchYKQiFyS5ORklixZwkMPPUSVKlWK/CwsLIyBAwfy1Vdf8fd6zm+88QatWrXizz//5KGHHuLBBx8s/EB/5513+Omnn/j666+Ji4tj7ty51K1bt8g5X3jhBW6//Xb++usv+vbty8CBAwufOB09epS+ffvSunVrtm3bxocffshnn33GpEmTipxj5syZuLu789tvvzFt2jRSU1Pp1q0bzZs3Z/PmzSxevJjExERuv/12u9yjrl27smrVqsLtVatW0aVLFzp37ly4Pzs7m40bN54XhIrz2GOPYRgGP/74IwDr16/nyiuvJDQ0tLBNr169SE9PZ+fOnXa5BhGn4biF70WkItqwYYMBGN9//32xP586daoBGImJiUadOnWMQYMGFf7MarUaISEhxocffmgYhmE88sgjRrdu3Qyr1VrsuQDjueeeK9zOyMgwAGPRokWGYRjGM888Y0RFRRU5/v333zd8fHwMi8ViGIZhdO7c2WjevHmR806cONHo2bNnkX2HDx82ACMuLu5f78HQoUMNFxcXw9vbu/B16623Fv78k08+Mby9vY38/HwjPT3dcHV1NU6cOGHMmzfP6NSpk2EYhrFixQoDMA4ePFh4XJ06dYw333yz2PcMDQ01HnzwQcMwDOPee+89r/7MzEwDMBYuXPiv9YvIWa4OzGAiUoEZZ574/Jurrrqq8N9NJhNhYWGcOHECsHU67tGjB1FRUfTu3Zvrr7+enj17XvB4b29v/Pz8Co+PiYmhffv2mEymwjbXXHMNGRkZHDlyhNq1awPQsmXLIufctm0bq1atwsfH57x64+Pjadiw4b9eV9euXfnwww+L1Pa3Ll26kJmZyaZNm0hJSaFhw4YEBwfTuXNnhg8fTk5ODqtXr6ZevXqFNf4bwzCKXKeI2IeCkIhcksjISEwmEzExMfTr1++8n8fExBAYGEhwcDAAbm5uRX5uMpmwWq0AtGjRgv3797No0SKWL1/O7bffTnR0NN98801h+4sdX1L/DClgG8V1ww03MGXKlPPaVq9evcTnjIyMLPZnkZGR1KpVi1WrVpGSkkLnzp0BqFGjBuHh4axbt45Vq1bRrVu3Er1XUlISJ0+eJCIiArB9Bfn7778XaZOYmFj4MxEpOfUREpFLUrVqVXr06MEHH3xAdnZ2kZ8lJCQwd+5c7rjjjhI/vfDz8+OOO+7gk08+4auvvuLbb78t8aizxo0bs379+iJPp3777Td8fX2pVavWBY9r0aIFO3fupG7dukRGRhZ5nRuaLlfXrl1ZvXo1q1evLjJsvlOnTixatIjff/+9RP2DAN5++23MZjM33XQTAO3bt2f79u2FT8YAli1bhp+fH02aNLFL/SLOQkFIRC7Ze++9R25uLr169WLt2rUcPnyYxYsX06NHD2rWrFlkqPfFTJ06lS+++ILY2Fh2797N/PnzCQsLIyAgoETHP/TQQxw+fJhHHnmE2NhYfvzxRyZMmMCoUaMwmy/8623EiBEkJydz5513smnTJuLj41myZAnDhw/HYrGU6L3/TdeuXfn111/ZunVr4RMhgM6dO/PRRx+Rl5dXbBA6ffo0CQkJHD58mLVr13LfffcxadIkXnrppcInUD179qRJkyYMHjyYbdu2sWTJEp577jlGjBiBh4eHXeoXcRYKQiJyyRo0aMDmzZupV68et99+O/Xr1+e+++6ja9eurF+/nqCgoBKdx9fXl1dffZVWrVrRunVrDhw4wMKFCy8aYv6pZs2aLFy4kN9//52rr76aBx54gLvvvpvnnnvuosfVqFGD3377DYvFQs+ePbnyyit5/PHHCQgIKPF7/5uuXbuSnZ1NZGRkkdFdnTt35vTp04XD7M81fvx4qlevTmRkJIMHDyYtLY0VK1bw1FNPFbZxcXFhwYIFuLi40L59ewYNGsSQIUN48cUX7VK7iDMxGSXt8SgiIiJSyeiJkIiIiDgtBSERkX84dOgQPj4+F3wdOnTI0SWKiB3pqzERkX8oKCjgwIEDF/x53bp1cXXVzCMilYWCkIiIiDgtfTUmIiIiTktBSERERJyWgpCIiIg4LQUhERERcVoKQiIiIuK0FIRERETEaSkIiYiIiNNSEBIRERGn9f+rYOPIpRXPbwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = 48\n",
"p=10.0\n",
"projection = np.linspace(0.9,1.1, 250)\n",
"projected_key = 'Onshore_FWD0'\n",
"for selected in [2,5,100,400]:\n",
"#selected = 2\n",
" #key = 'Power_Germany_FWD0'\n",
" #x = np.percentile(pricing_results.paths[key][-1,:],p)\n",
" #selected = np.abs(x-pricing_results.paths[key][-1,:]).argmin()\n",
" paths = {}\n",
"\n",
" T = pricing_results.hedge_model.timegrid[-1]\n",
" ttm = (T-pricing_results.hedge_model.timegrid[t])/T\n",
" for k,v in pricing_results.paths.items():\n",
" if k == projected_key:\n",
" paths[k] = projection*v[t,selected]\n",
" x = projection*v[t,selected]\n",
" else:\n",
" paths[k] = np.full(shape=(projection.shape[0]), fill_value=v[t,selected])\n",
" delta = pricing_results.hedge_model.compute_delta(paths, ttm) \n",
"\n",
" plt.plot(x, delta)\n",
"plt.xlabel(projected_key)\n",
"plt.axhline(-1.0)\n",
"plt.ylabel('delta');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Path Plots"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-24T13:09:23.977464Z",
"start_time": "2023-01-24T13:09:23.111552Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = -1\n",
"plt.figure(figsize=(16,12))\n",
"n_x = 3\n",
"n_y = 3\n",
"i=1\n",
"for k,v in pricing_results.paths.items():\n",
" for l,w in pricing_results.paths.items():\n",
" plt.subplot(n_x,n_y,i)\n",
" if k==l:\n",
" plt.hist(v[t,:], bins=100)\n",
" plt.xlabel(k+', t='+str(t))\n",
" else:\n",
" plt.plot(v[t,:], w[t,:], '.')\n",
" plt.xlabel(k+', t='+str(t))\n",
" plt.ylabel(l+', t='+str(t))\n",
" i += 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hedge PnL Distribution"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-24T13:20:19.286825Z",
"start_time": "2023-01-24T13:20:18.707633Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"313/313 [==============================] - 8s 4ms/step\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pnl = pricing_results.hedge_model.compute_pnl(pricing_results.paths, pricing_results.payoff)\n",
"\n",
"#plt.hist(pricing_results.payoff, bins=100, alpha=0.5, density=True)\n",
"plt.axvline(pnl.mean())\n",
"plt.hist(pnl,bins=100, alpha=0.5, density=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Delta Plots"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-24T13:12:36.981803Z",
"start_time": "2023-01-24T13:12:35.749860Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"313/313 [==============================] - 1s 2ms/step\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = 0\n",
"n_x = 2\n",
"n_y = 3\n",
"plt.figure(figsize=(24,8))\n",
"delta = pricing_results.hedge_model.compute_delta(pricing_results.paths, t)\n",
"i=1\n",
"for k,v in pricing_results.paths.items():\n",
" plt.subplot(n_x, n_y, i)\n",
" plt.plot(v[t,:], delta,'.')\n",
" plt.xlabel(k+', t='+str(t))\n",
" plt.ylabel('delta')\n",
" i+= 1\n",
" \n",
"for k,v in pricing_results.paths.items():\n",
" plt.subplot(n_x, n_y, i)\n",
" plt.plot(v[t,:], v[-1,:],'.')\n",
" plt.xlabel(k+', t='+str(t))\n",
" plt.ylabel(k+', final')\n",
" i+= 1"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"hide_input": false,
"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": "3.10.6"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
"width": "170.667px"
},
"toc_section_display": true,
"toc_window_display": true
}
},
"nbformat": 4,
"nbformat_minor": 4
}