1343 lines
666 KiB
Plaintext
1343 lines
666 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#import networkx as nx\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import numpy as np\n",
|
|
"import scipy.stats as sts\n",
|
|
"import seaborn as sns\n",
|
|
"\n",
|
|
"%matplotlib inline\n",
|
|
"\n",
|
|
"#import conviction files\n",
|
|
"#from conviction_helpers import *\n",
|
|
"#from conviction_system_logic3 import *\n",
|
|
"from bonding_curve_eq import *"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"System initialization"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"hatch_raise = 100000 # fiat units\n",
|
|
"hatch_price = .1 #fiat per tokens\n",
|
|
"theta = .5 #share of funds going to funding pool at launch\n",
|
|
"\n",
|
|
"R0 = hatch_raise*(1-theta)\n",
|
|
"#F0 = hatch_raise*theta\n",
|
|
"S0 = hatch_raise/hatch_price\n",
|
|
"\n",
|
|
"kappa = 2\n",
|
|
"V0 = invariant(R0,S0,kappa)\n",
|
|
"P0 = spot_price(R0, V0, kappa)\n",
|
|
"\n",
|
|
"dust = 10**-8"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"agent initialization"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#phi for exiting funds\n",
|
|
"phi = 0\n",
|
|
"\n",
|
|
"#beta is param for armijo rule\n",
|
|
"beta = .9\n",
|
|
"\n",
|
|
"#param for open loop\n",
|
|
"rules = [\"martin\", \"step\",\"ramp\", \"sin\"] # step or \"ramp\" \"sin\" or \"martin\""
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"params= {\n",
|
|
" 'kappa': [kappa],\n",
|
|
"# 'lambda': [lam],\n",
|
|
"# 'gains': [g],\n",
|
|
"# 'rates':[1/gamma],\n",
|
|
"# 'population':[n],\n",
|
|
"# 'beta':[beta],\n",
|
|
"# 'phi': [phi],\n",
|
|
" 'invariant': [V0],\n",
|
|
" 'dust' : [dust],\n",
|
|
" 'rule' : rules,\n",
|
|
" 'dP' : ['N/A', P0/4, P0/100, P0/2],\n",
|
|
" 'sigma': [.005,'N/A','N/A', 'N/A'],\n",
|
|
" 'period': ['N/A', 2000,2000,2000]}"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"initial_conditions = {'supply': S0,\n",
|
|
" 'price': P0,\n",
|
|
" 'reserve': R0,\n",
|
|
" 'spot_price': P0,\n",
|
|
" 'output_price': P0,\n",
|
|
" }"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{'supply': 1000000.0,\n",
|
|
" 'price': 0.09999999999999999,\n",
|
|
" 'reserve': 50000.0,\n",
|
|
" 'spot_price': 0.09999999999999999,\n",
|
|
" 'output_price': 0.09999999999999999}"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_conditions"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def set_action(params, step, sL, s):\n",
|
|
" \n",
|
|
" R = s['reserve']\n",
|
|
" S = s['supply']\n",
|
|
" V0 = params['invariant']\n",
|
|
" P=s['spot_price']\n",
|
|
" period = params['period']\n",
|
|
" \n",
|
|
" if params['rule'] == 'step':\n",
|
|
" bump = int((s['timestep'] % int(period/2) == 0))*int(s['timestep']>0)\n",
|
|
" sign = -(-1)**int((2*s['timestep']/period))\n",
|
|
" new_price = s['price'] + params['dP']*bump*sign\n",
|
|
" elif params['rule'] == 'ramp':\n",
|
|
" sign = (-1)**int((2*s['timestep']/period))\n",
|
|
" new_price = s['price'] + params['dP']*sign\n",
|
|
" elif params['rule'] == 'sin':\n",
|
|
" new_price = P0 + params['dP']*np.sin(2*np.pi*s['timestep']/period)\n",
|
|
" elif params['rule']=='martin' :\n",
|
|
" rv = np.random.normal(0, params['sigma'])\n",
|
|
" new_price = s['price']+s['price']*rv\n",
|
|
" else :\n",
|
|
" new_price = s['price']\n",
|
|
" \n",
|
|
" \n",
|
|
" #print(params['rule']+': '+str(new_price))\n",
|
|
" \n",
|
|
" if P>new_price: #equiv: pbar(0)>phat_a\n",
|
|
" mech = 'burn'\n",
|
|
" \n",
|
|
" #approx for burn s.t. p=phat\n",
|
|
" #armijo style\n",
|
|
" amt = S*(1-params['dust'])\n",
|
|
"\n",
|
|
" def pbar(amt):\n",
|
|
" output = withdraw(amt, R,S, V0, params['kappa'])\n",
|
|
"\n",
|
|
" if not(output[1])>0:\n",
|
|
" return np.Infinity\n",
|
|
" elif amt==0:\n",
|
|
" return P\n",
|
|
" else:\n",
|
|
" return output[1]\n",
|
|
"\n",
|
|
" if amt > params['dust']:\n",
|
|
" while pbar(amt)< new_price:\n",
|
|
" amt = amt*beta\n",
|
|
"\n",
|
|
" else: # P<phat_a; #equiv pbar(0)<phat_a\n",
|
|
" mech = 'bond'\n",
|
|
" #approx for buy s.t. p=phat\n",
|
|
" #armijo style\n",
|
|
" amt = R*(1-params['dust'])\n",
|
|
"\n",
|
|
" def pbar(amt):\n",
|
|
" output = mint(amt, R,S, V0, params['kappa'])\n",
|
|
" \n",
|
|
" if not(output[1])>0:\n",
|
|
" return 0\n",
|
|
" elif amt==0:\n",
|
|
" return P\n",
|
|
" else:\n",
|
|
" return output[1]\n",
|
|
"\n",
|
|
" if amt > params['dust']:\n",
|
|
" while pbar(amt)> new_price:\n",
|
|
" amt = amt*beta\n",
|
|
" #print(mech)\n",
|
|
" #print(amt)\n",
|
|
" action = {'mech':mech, 'amt':amt,'pin':new_price ,'pbar':pbar(amt),'posterior':{}}\n",
|
|
" \n",
|
|
" if action['mech'] == 'bond':\n",
|
|
"\n",
|
|
" dS, pbar = mint(amt, R,S, V0, params['kappa'])\n",
|
|
" R = R+amt\n",
|
|
" S = S+dS\n",
|
|
" P = spot_price(R, V0, kappa)\n",
|
|
"\n",
|
|
" elif action['mech'] == 'burn':\n",
|
|
" dR, pbar = withdraw(amt, R,S, V0, params['kappa'])\n",
|
|
" R = R-dR\n",
|
|
" S = S-amt\n",
|
|
" P = spot_price(R, V0, kappa)\n",
|
|
"\n",
|
|
" action['posterior'] = {'S':S, 'R':R,'P':P}\n",
|
|
" \n",
|
|
" return {'action': action}"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def update_S(params, step, sL, s, _input):\n",
|
|
" \n",
|
|
" action = _input['action']\n",
|
|
" S = action['posterior']['S']\n",
|
|
" \n",
|
|
" key = 'supply'\n",
|
|
" value = S\n",
|
|
" \n",
|
|
" return (key, value)\n",
|
|
"\n",
|
|
"def update_R(params, step, sL, s, _input):\n",
|
|
" \n",
|
|
" action = _input['action']\n",
|
|
" R = action['posterior']['R']\n",
|
|
" \n",
|
|
" key = 'reserve'\n",
|
|
" value = R\n",
|
|
" \n",
|
|
" return (key, value)\n",
|
|
"\n",
|
|
"def update_P(params, step, sL, s, _input):\n",
|
|
" \n",
|
|
" action = _input['action']\n",
|
|
" P = action['posterior']['P']\n",
|
|
" \n",
|
|
" key = 'spot_price'\n",
|
|
" value = P\n",
|
|
" \n",
|
|
" return (key, value)\n",
|
|
"\n",
|
|
"def update_Pbar(params, step, sL, s, _input):\n",
|
|
" \n",
|
|
" action = _input['action']\n",
|
|
" pbar = action['pbar']\n",
|
|
" \n",
|
|
" key = 'output_price'\n",
|
|
" value = pbar\n",
|
|
" \n",
|
|
" return (key, value)\n",
|
|
"\n",
|
|
"def capture_Pin(params, step, sL, s, _input):\n",
|
|
" \n",
|
|
" Pin = _input['action']['pin']\n",
|
|
" if Pin== 0:\n",
|
|
" print(_input['action']) \n",
|
|
" key = 'price'\n",
|
|
" value = Pin\n",
|
|
" \n",
|
|
" return (key, value)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # \n",
|
|
"# The Partial State Update Blocks\n",
|
|
"partial_state_update_blocks = [\n",
|
|
" {\n",
|
|
" 'policies': {\n",
|
|
" 'act': set_action,\n",
|
|
" },\n",
|
|
" 'variables': {\n",
|
|
" 'supply': update_S, \n",
|
|
" 'reserve': update_R,\n",
|
|
" 'spot_price': update_P,\n",
|
|
" 'output_price': update_Pbar,\n",
|
|
" 'price': capture_Pin,\n",
|
|
" }\n",
|
|
" }\n",
|
|
"]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"time_periods_per_run = 4000\n",
|
|
"monte_carlo_runs = 1\n",
|
|
"\n",
|
|
"from cadCAD.configuration.utils import config_sim\n",
|
|
"simulation_parameters = config_sim({\n",
|
|
" 'T': range(time_periods_per_run),\n",
|
|
" 'N': monte_carlo_runs,\n",
|
|
" 'M': params\n",
|
|
"})"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
|
|
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
|
|
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
|
|
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 0.001, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from cadCAD.configuration import append_configs\n",
|
|
"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #\n",
|
|
"# The configurations above are then packaged into a `Configuration` object\n",
|
|
"append_configs(\n",
|
|
" initial_state=initial_conditions, #dict containing variable names and initial values\n",
|
|
" partial_state_update_blocks=partial_state_update_blocks, #dict containing state update functions\n",
|
|
" sim_configs=simulation_parameters #dict containing simulation parameters\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from tabulate import tabulate\n",
|
|
"from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n",
|
|
"from cadCAD import configs\n",
|
|
"import pandas as pd\n",
|
|
"\n",
|
|
"exec_mode = ExecutionMode()\n",
|
|
"multi_proc_ctx = ExecutionContext(context=exec_mode.multi_proc)\n",
|
|
"run = Executor(exec_context=multi_proc_ctx, configs=configs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"\n",
|
|
" __________ ____ \n",
|
|
" ________ __ _____/ ____/ | / __ \\\n",
|
|
" / ___/ __` / __ / / / /| | / / / /\n",
|
|
" / /__/ /_/ / /_/ / /___/ ___ |/ /_/ / \n",
|
|
" \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n",
|
|
" by BlockScience\n",
|
|
" \n",
|
|
"Execution Mode: multi_proc: [<cadCAD.configuration.Configuration object at 0x1a1f4fd160>, <cadCAD.configuration.Configuration object at 0x1a1f51e898>, <cadCAD.configuration.Configuration object at 0x1a1f51e748>, <cadCAD.configuration.Configuration object at 0x1a1f51e240>]\n",
|
|
"Configurations: [<cadCAD.configuration.Configuration object at 0x1a1f4fd160>, <cadCAD.configuration.Configuration object at 0x1a1f51e898>, <cadCAD.configuration.Configuration object at 0x1a1f51e748>, <cadCAD.configuration.Configuration object at 0x1a1f51e240>]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"i = 0\n",
|
|
"verbose = False\n",
|
|
"results = {}\n",
|
|
"for raw_result, tensor_field in run.execute():\n",
|
|
" result = pd.DataFrame(raw_result)\n",
|
|
" if verbose:\n",
|
|
" print()\n",
|
|
" print(f\"Tensor Field: {type(tensor_field)}\")\n",
|
|
" print(tabulate(tensor_field, headers='keys', tablefmt='psql'))\n",
|
|
" print(f\"Output: {type(result)}\")\n",
|
|
" print(tabulate(result, headers='keys', tablefmt='psql'))\n",
|
|
" print()\n",
|
|
" results[i] = {}\n",
|
|
" results[i]['result'] = result\n",
|
|
" results[i]['simulation_parameters'] = simulation_parameters[i]\n",
|
|
" i += 1\n",
|
|
" "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.09921726353485108"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"experiment_index = 0\n",
|
|
"results[experiment_index]['result'].price[1]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{'kappa': 2,\n",
|
|
" 'invariant': 20000000.0,\n",
|
|
" 'dust': 1e-08,\n",
|
|
" 'rule': 'martin',\n",
|
|
" 'dP': 'N/A',\n",
|
|
" 'sigma': 0.005,\n",
|
|
" 'period': 'N/A'}"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"results[0]['simulation_parameters']['M']"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def assign_run(df, T = time_periods_per_run):\n",
|
|
" temp_df = df.reset_index()\n",
|
|
" temp_df[\"run\"] = temp_df['index'].apply(lambda x: int(np.floor(x/(T+1))))\n",
|
|
" \n",
|
|
" return temp_df.drop(\"index\", axis =1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def append_parameters(result, experiment_index):\n",
|
|
" sim_params = result['simulation_parameters']\n",
|
|
" params = sim_params['M']\n",
|
|
" frame = result['result']\n",
|
|
" frame[\"experiment_index\"] = experiment_index\n",
|
|
" for key in params.keys():\n",
|
|
" frame[key] = params[key]\n",
|
|
" \n",
|
|
" return frame"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def package_results(results):\n",
|
|
" dataframes = [ assign_run(append_parameters(results[experiment_index],experiment_index)) for experiment_index in range(i)]\n",
|
|
" return pd.concat(dataframes)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"df = package_results(results)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEKCAYAAADuEgmxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJztnXecFdX1wL9nKyxl6RaKIEVBQNAFFUuMBcEaI0aINRpRY4kmJmpiIRp/ibEbSzRR7F0T0agotthlQZogHXUBpcNStrzd+/tj5rGvzLw37715bfd8P5/9vJlbz5udN2fuveeeI8YYFEVRFMULBdkWQFEURckfVGkoiqIonlGloSiKonhGlYaiKIriGVUaiqIoimdUaSiKoiieUaWhKIqieEaVhqIoiuIZVRqKoiiKZ4qyLUAidOnSxfTu3TvbYiiKouQVM2bMWGeM6epHW3mlNHr37k1lZWW2xVAURckrROQbv9rS6SlFURTFM6o0FEVRFM+o0lAURVE8k1drGoqi5D/19fVUVVVRU1OTbVGaHa1ataJHjx4UFxenrQ9VGoqiZJSqqiratWtH7969EZFsi9NsMMawfv16qqqq6NOnT9r60ekpRVEySk1NDZ07d1aF4TMiQufOndM+glOloShKxlGFkR4ycV1VaShKS2HRVFj4RralUPIcVRqK0lJ4+mfwzPhsS5FXXH/99UybNi3bYuQUnpSGiIwRkYUiskRErnbIP0xEZopIQETGReSdLSKL7b+zQ9Lft9ucZf91S/3rKIqi+ENDQwM33ngjRx11VLZFySniKg0RKQTuA8YCg4AJIjIooti3wDnA0xF1OwE3AAcAI4EbRKRjSJHTjTHD7L81SX8LRVGUBFixYgV77703Z599NkOHDmXcuHFs376d3r17c+ONN3LIIYfwwgsvcM455/Diiy8CMH36dEaNGsW+++7LyJEjqa6upqGhgd/97neMGDGCoUOH8uCDD2b5m6UfLya3I4ElxphlACLyLHASMD9YwBizws5rjKh7DPC2MWaDnf82MAZ4JmXJFUXJe/706lfMX7XF1zYH7d6eG07YJ265hQsX8vDDD3PwwQdz7rnncv/99wPWXoePPvoIgDfffBOAuro6TjvtNJ577jlGjBjBli1baN26NQ8//DDl5eVMnz6d2tpaDj74YEaPHp1Wk9ds42V6qjvwXch5lZ3mhXh1J9tTU9eJy7K/iEwUkUoRqVy7dq3HbhVFUWLTs2dPDj74YADOOOOMnYritNNOiyq7cOFCdtttN0aMGAFA+/btKSoq4q233uLxxx9n2LBhHHDAAaxfv57Fixdn7ktkAS8jDaeHufHYfqy6pxtjVopIO+Al4Ezg8ajCxjwEPARQUVHhtV9FUfIALyOCdBH5nho8b9OmTVRZY4yjOasxhr///e8cc8wx6REyB/Ey0qgCeoac9wBWeWzfta4xZqX9WY21FjLSY5uKoigp8+233/Lpp58C8Mwzz3DIIYe4lt17771ZtWoV06dPB6C6uppAIMAxxxzDAw88QH19PQCLFi1i27Zt6Rc+i3hRGtOB/iLSR0RKgPHAFI/tTwVGi0hHewF8NDBVRIpEpAuAiBQDxwPzEhdfURQlOQYOHMhjjz3G0KFD2bBhAxdddJFr2ZKSEp577jkuvfRS9t13X44++mhqamr45S9/yaBBg9hvv/0YPHgwF1xwAYFAIIPfIvOIMfFnfETkWOAuoBB4xBhzs4jcCFQaY6aIyAjg30BHoAb43hizj133XOAPdlM3G2Mmi0gb4H9Asd3mNOA3xpiGWHJUVFQYDcKkKEkyqdz+3JxVMRYsWMDAgQOzKsOKFSs4/vjjmTev+b2rOl1fEZlhjKnwo31PDguNMa8Dr0ekXR9yPB1r6smp7iPAIxFp24D9ExVWURRFyS66I1xRWgJrFmRbgpyid+/ezXKUkQlUaShKS2DLymxLoDQTVGkoSksgdOmyfkfWxFDyH1UaitLSUKWhpIAqDUVpEei+WMUfVGkoSj4z/xVY58FthWlyC2e++zyNAinNHVUaipLPPH8W3JuY+b1oTA1f+M9//sP8+fPjF/RAZWUll112mS9tpRtVGorSAvhh8Yxsi9Ds8EtpBAIBKioquOeee3yQKv142tynKEp+02neI/ELZYM3robv5/rb5q5DYOxfYxbZtm0bP/vZz6iqqqKhoYHrrruOq666itNOO4333nsPgKeffpp+/frxzTffcO6557J27Vq6du3K5MmTqaqqYsqUKXzwwQf8+c9/5qWXXqJv375R/Rx++OEMGzaML774gi1btvDII48wcuRIJk2axKpVq1ixYgVdunRh4sSJ3Hbbbbz22mts3bqVSy+9lMrKSkSEG264gVNOOYW33nqLG264gdraWvr27cvkyZNp27atv9fOA813pBGohbkvggc3KYrS3HGJPNBiefPNN9l9992ZPXs28+bNY8yYMYDl8vyLL77gkksu4fLLLwfgkksu4ayzzmLOnDmcfvrpXHbZZYwaNYoTTzyRW2+9lVmzZjkqjCDbtm3jk08+4f777+fcc8/dmT5jxgxeeeUVnn46LHYdN910E+Xl5cydO5c5c+ZwxBFHsG7dOv785z8zbdo0Zs6cSUVFBXfccUcarkx8mu9I450b4dN7oXUH6KfhGpWWjRcfc1khzoggXQwZMoQrr7ySq666iuOPP55DDz0UgAkTJuz8vOKKKwD49NNPefnllwE488wz+f3vf59QX8E2DzvsMLZs2cKmTZsAOPHEE2ndunVU+WnTpvHss8/uPO/YsSOvvfYa8+fP3xn/o66ujoMOOighOfyi+SqN4A7YmhSds636Et77C4x/CgqLU5dLUdJB/Q4oagVuIwodaYQxYMAAZsyYweuvv84111zD6NGjgfARmdvoLNFRWyJxO8A5docxhqOPPppnnsl+0NP8mp5aswA2LMtsnw8dDounwrpFme1XURLh5l3hDgfPsQ31MOVSirev8d6WMVD9vX+y5SCrVq2irKyMM844gyuvvJKZM2cC8Nxzz+38DL7Jjxo1aueb/1NPPbUz7ka7du2orq6O21ewzY8++ojy8nLKy8tjlh89ejT33nvvzvONGzdy4IEH8vHHH7NkyRIAtm/fzqJF2Xkm5ZfSCNTAUz/LStdm+sNZ6VdRXJn7Yvh59WpYvzQ8bcGrMDMqIGZspv8Lbt/LcqX+xMnNcl1w7ty5jBw5kmHDhnHzzTdz7bXXAlBbW8sBBxzA3XffzZ133gnAPffcw+TJkxk6dChPPPEEd999NwDjx4/n1ltvZfjw4SxdutS1r44dOzJq1CguvPBCHn44/nPk2muvZePGjQwePJh9992X9957j65du/Loo48yYcIEhg4dyoEHHsjXX3/tw5VIHE/xNHKFit0LTeXEtnDFfCgogna7uBd+4Rz46t8w7hEYfEryndoxCHa06UHr332VfDuK4jdvXw8f3x2e9vMXYMDopvNJLm+1sWJqPHeGpWyC3LDJ1+mtXIin4UTv3r2prKykS5cuvrV5+OGHc9ttt1FR4UsoC0+kO55Gfo00gtw5CG4fANvWQWNj7LLbN/jSZV0gZnwoRck81T9Ep819wf9+8ujFUkk/+b0QfmtfOOI6OOzK6Lz11twfr18JI89Prv0QhbSlJkDsmUhFyTDVq5OvW1sNpe2i0xdNDR9lAC3Fb9WKFSuSrnvxxRfz8ccfh6X9+te/5v33309NqBwkv5UGWDd5pNJY9aU/G4Yam2L9ti7Kz0GZ0pxJ4WHeUO+c/rTDmmH1aih3DMyZNE4WQvnMfffdl20RgMyYVuf/k3BNyDb+2mprDveNq8PLbEnyjSxEaWzqmrk5SUXxhNMDwuODOOzhsmMTvHQ+NAScC3/zSRLCudOqVSvWr1+fu3tH8hRjDOvXr6dVq1Zp7Sf/Rxp1W5uON31nfX73WXiZ7eug/W6Jt93Y9Db2facR9EtCPEXJGsHfgwM76gOUBU9u2cP67DLAubDPD/cePXpQVVXF2rVrfW1XsRRyjx7+jgojyX+lEcoGN7O3JIfBjU2L31LQfIbSSjOhNs4egbsGu2at37ydsg4RidsS2MuRAsXFxfTp0ycjfSn+k//TU6HMe9k5XZL7miZk3rf9tm+SakNR0sbqWUlXLZ3/bHRiQ51LaZ1GUppoVkrDFLgMnJJccGsINCmNIctz1EuooiRBt8//Gr2GMeNR58IbV6RbHCWP8KQ0RGSMiCwUkSUicrVD/mEiMlNEAiIyLiLvbBFZbP+dHZK+v4jMtdu8R3wwpWh0nYZKsOnvpsPMx8OUhqLkBwnc61Ov8bbI/f5fkhdHaXbEVRoiUgjcB4wFBgETRGRQRLFvgXOApyPqdgJuAA4ARgI3iEhHO/sBYCLQ3/4bk/S3sClY+Jpj+qYdCT78Hz4KplyqSkPJP+Y8C3XbLIsoB7Z3Gdp08sVDMHlshgRTmgteRhojgSXGmGXGmDrgWeCk0ALGmBXGmDlA5PbsY4C3jTEbjDEbgbeBMSKyG9DeGPOpsezuHgd+kvS32LYOAKnb5pi9vS653dwNbiaIipJtAm7rD8ArFzdZREWwveehaRJIaSl4URrdgVDbvSo7zQtudbvbx8m0GU2gNma2OJkMznkBqipj1mvUkYaSqzTGuDfXuns/LS7wcRlz8duwY6N/7Sl5gZc7yGmS1Ks5hVtdz22KyEQRqRQR9yd8oCamEGWzHTxLvvxL+NeR1o5yFxpivc0pSrbYsAzmvRSjgPvPs7DQJ6WxfQM8NQ6ePcOf9pS8wcsdVAX0DDnvAazy2L5b3Sr7OG6bxpiHjDEVMT00/n0/+OTvrtnlXz3hLuHTP3MN1NTo5mpBUbLFB7fCPcNhyqXuZUK9JETiVxTLoHmuxplpcXhRGtOB/iLSR0RKgPHAFI/tTwVGi0hHewF8NDDVGLMaqBaRA22rqbOAV5KQv4m3rvVeNnJT1IfOsXYbAnHWNOprrIhpipIp3vtzStWLd9kruYqNDZZJ7rOnwxM/TUkGJb+JqzSMMQHgEiwFsAB43hjzlYjcKCInAojICBGpAk4FHhSRr+y6G4CbsBTPdOBGOw3gIuBfwBJgKfCGr98sFn+J2Gb/tbPVVdyF8NsHWBHTFCUdGAPv/V90YKUUKCkqTK7il0/Aq7+2fitL32lKb0ZOBxVveHIjYox5HXg9Iu36kOPphE83hZZ7BIjaGWeMqQTc/RxkEhffOibemkaq8ccVJRbV38MHt8DsZ+ByH7w2A5KkdwTWuESJ2+oQ00Np1jSrHeEpsWQaLP8wLKkhck3DLQqaoqQDY1uwb/rWvzaTHRl8/oB/Mih5TfNyWJgsgVp40g4JGxIGs83ytwGoM4WUiEbuU5oB6o5cSREdaQBsCdkysuyDnYed5z8GQC0lmZZIUUiLo0ATJzyyosSh5SmNuu0xsxs3r4xKqxUPSmPdYsuyJM5GQ0XJKoXF2ZZAyXNantL4729jZq/cFP3Q74KHBe/XrrAsS777PFnJFCWcdEwltdJ1OSU1Wp7SWL84ZrZRC0IlR9hRnyfraMs+gC1e9/sq+U7LUxrxXEd7MUmsrbY29oWiC4zpp7a6RV3n2kAOrz+ERLXk8RPhgYOzJ4uSUfJXaQw+JS3NmnhKpWaztTnw5l2a0lbOSIssSggzHrOuewuK7dDYmDml0VDWNbEKs58OP9+xwbmc0uzIX6UxLslIenHs1OMqDSevnv88Ar75KDl5FG+8eY31+cEt2ZUjg8jaEB9ST4+HtQvT1lfd0NMTq1C7NT2CKDlP/ioNwAw8IfFKbjtbbeIGEFwXe00k4SiB2SBQm9YHUEYxBt6/BdYtybYkvlMc+iKy6I24RhypIHsenlD52oYcnjpT0kpeKw059bHEK9XGtoSqd/gxhI0+Fr4elZ93vHo53DcStq3PtiTeqQ8JsPV1yP9g2zp4///g8ZOi6+Q5DRlcvinpe1hiFTTWTIslP5VG/9HWZ0Ec52vtHd1hxaTOwWJl0ZinHUq60JChfRqbqyy3JkumJV53hf0GW1cdu1yu8uyEkBP7yZqp655JIi2S0uiqv6AwMUeGBd95iC2uNEvyU2n8JI4fnEJ7M96PfheevnJm/La3Ry/oFbRq13RSGWct5YO/xe/DD6qmW59v/gH+XuEotyObvqVpp3EeTKVB85lKS5DyZa+GJ3z3WXYEcaD4h9nZFkHJEvmpNIpaxc4PmmV2378p7evX4Z8/jtv0oFk3RqUVlpR6ly1T4S/n2+FH1i209p4sfTd+ne++gLuGwGY7Am9jfsRANwtejV+oJbP/L7ItgdKCyE+lUdo2TgFbaXTac2fK5lXxFrDdKW/TLn6hTPPVvxOvs2ZB+PmMyf7IkmaWr48R6KoF7duIYr+z4Y8/wLG3eit/WMTIu1NfOPkhuPgL/2VTmi35qTRisKJscNODRJrmaVt94R4ONh6tysoSKJ0nUz6QN1EHd9R7sNTZtjb9guQaJ94Dxa3C7vMgSwt6R5cfMMb6PP5O2HUoXDYT9j0NuiYZzU9pkTQ7pdG9z8AmT54hu7tLa5J/qJSUxpkO85PHf5Lc7lovb9x56kyxMZZvl2YcOW5T+d7eChZE/4y7l8dwsllxLlz4YXR6UWvrc9Rl3vpVWiTNTmkUFgg7p6eSjVIWQVFJBpXGsvfgh3npabshPBJhbZ74NuqyNsYCcDOenlrePQEz4lBLwba70GpsErHEf78UJjwLo28KiyujKKHkv9K4akXYqbTpEnLiz9eTeAvvYYWz9ObraQE+/AFbPPeZvHjo7rbu42yLkHmqv2f4/Bi73/c7K/y8+/Cm4ysXwYBjEu+zpA3sNTbxekqLIv+VRuuOYady5PWwix163K8HeKH3IEx1qeyUXfpe8nXf+F3cIuazf4SdFzTUwLL3k+8zQ1R1PTTbIiTO1D/Ch7cnX39FHLc0B10Sft52F+dyoXQbmLw8imKT/0oD4LIvm46LW8NZU+Cc//qnNBJoJ5CK0lgzP36ZFJDQCIVB4rpFyT491jrMvwfZsCxzgiTCp/fCO9Hm256JVzdy8Xq0w3RUl4gyJW2Sl8cjO6Y/ScMmh/tMaTY0D6URYloLQJvO0PuQxNoojvhB9U9ieA84Wk9tXunNN5KbBVBDvRUV8IevrHM/p5Q8jFBymiVvNx2vX5paWw31MPfFnJiya6hP0GihuHV02r7j/RHGI4Gp19L6vxez+f6jM9qvklnyT2m0cXHhfOUS+F2Sb53te8Dlc8PTxv41qabKNju8ud85CO7dPzo9EreH1fdzrKiAr1xsnefJpryMsyU6VG9CfHQXvHQefPVyau00pm5gULjte9e8r00v54zTX4QTkzctT5WiT62+O9VpQKbmTH4pjc794IL/Oee17WqNMJJh/7OhKGLdotjem7FHgiMWgCof4muE+h1abn/nVdY0nImwglJsUh0hrLLdzHzgcbOcG3Xb4peJKceXMbO7t3WZLu1/dPgCeTzfbIqSBJ6UhoiMEZGFIrJERK52yC8Vkefs/M9FpLedXiIik0VkrojMFpHDQ+q8b7c5y/7rFleQ0nbQfnev3807EYvpALTbFa76Bs5M4q3zyZOd02sTcBB4x8Cm6ZbF4U4JA/WqNBob/Z9CMuvtKcS1C9wLLXjNchS5cUWMhkJGGqFTZnXbrCBe8aj+IWZ2qwKPI5kR51t/l86E38QOCeDIZV9Cec/E6ynNmrhKQ0QKgfuAscAgYIKIDIoodh6w0RjTD7gTCNoKng9gjBkCHA3cLhJmB3u6MWaY/bcmta/izLKxT8UvZAyOaxGtO0BRAn6ngrg9GP4S4XX3H4daDyC38kEfURE0VsV+E3WWaUvidXKYujprzr/Gx5Cosm5R/EJznrM+V81yLWL+F2I19ff9mo7vGAh/dZlaChKog3fj7LFw2AHuSEkZHHcbdO4L7XfzVieUTntCq3LreM8fw0n3J96G0uzwMtIYCSwxxiwzxtQBzwKRu45OAoLBLV4EjhQrmtEg4B0AWylsAir8ENwrRUXF3grG9WeVBr6fY31+eIf1GWml5WRBs+IjSp9xGcnEItV5+hyjttZygdIQNuLIwAJ28H9k3JWVfOqyruBllFH5MPwwN2aR2t0PiN+OX+w61Po84W4I3QOltFi8KI3uQOgrb5Wd5ljGGBMANgOdgdnASSJSJCJ9gP2B0PHuZHtq6jpxCZknIhNFpFJEKteuTdwVSFHr9vEL9RyZcLu+YiuPQOSUSzD2eGgEt0ePy5BQuU19nT1FF7KOYb74ZwZ6tm/TKZemp3knf2Cd+4Wd7tjntPT07cTxd8B5b0PHPTLXp+IP9x8E//mV7816URpOD/PIVzq3Mo9gKZlK4C7gEyBo+nO6PW11qP13plPnxpiHjDEVxpiKrl1dLKdiUFjuYdPT7sPil/n58wn37Rnbrfn2H9K45yBP/U65UW+bpDY0Nr3xmwzE3WgI3up1GYqRfdAlcPg1YUkFDr6m0kZx6+ReqrashvqatAaOavE8eYo1ve22BrZmPszyMD2fIF7uvirCRwc9gEibup1lRKQIKAc2GGMCxpgr7DWLk4AOwGIAY8xK+7MaeBprGsx3Slr5NO2UjFuGBGm/dEr6Go+lNCaVW3tA5r8C7/0lfTIkyTai9yAE7DWNdjObdrkbP/dXNDpPP21aOt2/PrzS94iw08J8cNL4wzy4eRd48EfZlqT5Eoza+Z+LovPSuNfIi9KYDvQXkT4iUgKMByKfblOAs+3jccC7xhgjImUi0gZARI4GAsaY+fZ0VRc7vRg4HkiLl76S4qLYBfY61ntjex+fuAA+2OxnhH8eCc+fBR/81fWBmUvU2xZk0tj0JrvDTweMH9/pmFwSSHyEEaXMVseKehdRdsAxUQ+AQsn+5sO4BIOCrfkqu3I0V546tel46TvR+WncyxVXadhrFJcAU4EFwPPGmK9E5EYROdEu9jDQWUSWAL8Bgma53YCZIrIAuIqmKahSYKqIzAFmASuBtExIlxTHWAgf8Us48V7vjZ32JOx/jnVc6NGqKlJppHO3cUMA6rYnFx41EDqXnlsPJXGQJzjSCKXAJweVgKsfsOKixPc+RK5Vrf4ugZ3rfQ4j8v8hpel3B+JIcG3lyOvjl/1MLa3SRt12WPxW7DJpfFmN8xpuYYx5HXg9Iu36kOMa4FSHeiuAqAgvxphtWIviacfJesoUliANdfDjP0JZJ++NiVhWJIPHWWaMdyThAG7NAthlELx4XuJ142EaYPJYWD0Lfrc0zNrFxajYpZ0cUhqNjZRRE5Vc77BXxU+pN2/eRLlDuinwaI0XQv0PCynevele+XrlBlwNYJ02BkZYahX0yMhPJ5rOfeGaKihpm5pfLSU1Zj4ev0waQyTn147wJJCCaL1Ye8ID0LFPkw16ovQ51Psmw/URPqceOAi++RTmvZhc37FobLAUBsCckIX7+hp2LHjbuY4juaM0dixyjn3uuMExhhlsopRvdDZ7XTbg3KaTrd62FgU2hbs3KRP3xeFAtUObrTqEnVoxY7JEabtmHfjKE7XV1iJ/tvDiESKQPvmavdJwcqXQatg4+PWszLhZqHKIvzx5THTaK5dEpyVK6Dzm93OaHmpT/0BZlYv7FSdyaKSxebvzD8TJoV+b6uWwek5a5akvCFmU37HJU51AoMHatGfTRtx/0EvXOHgNKCrh+x5NhhhFmbSeUqL5Sw948LDs9b81tscAwNcXqEia/90X+lY0bjKMf9q/ts/wccPcl084pz+eQPS2UKUx+xm4rb91XPlwgsLkjtLo+PnfHNNNjYtLlseSMFZwwyHWiAkxEmic+Vi4gq3+HrZviKoTCASgoUnJDf5ykmuXrWuaHgimfdN2KBPihTmbAw3FZl36zbvdCDR4WeTOrvVU86FTH9jbx81xXobpqb61JxAkySxxsKJIhqXOU0LZoPQHZ5cp/T6LcoFm4WXXtVc+iFZYpduappoKPr23aUFy2p/g9r3gb32i6nSb8nPPXfba8OnO49C7q/W2phgVLvtglUywKM4CdLpZMo2iL/4Rv5yONFJkt33T30cwWmAoDfXw+pXp7zvY3Sf3OSS6vJWcHmNNZft6fwRKA9WDJgDwbcDByWQqOCmbUGuslyfCpHIGLXkoop7t0+ujO/yVJ4KigMNOcSXzLEshuqYffPaAp2Kb3k/AKjRBWobSCLqLLo/jLG7ELxNrN57b9LkvZjT2RdH3Dm/lN7m4i+8fI1BODq1phHHARbT9ifVwHtL4depBl4LU1zg6ElyzLcRsMeioMJI0vtGFjjUKGpvXjv6cp26b41RjtvH6y+yw1affhgMtQ2mM+CVM2hw/3sbomxNrNzQGh9ODtn57Yu0prnwy4Pcw9q/h1nCbXcKKLk9g0R9cIyZWbY7/oDbGoz18ioq4vjHHpqR+9gT8+NrwtB+5TBnmI/cd4DjVuGlFrI2Z6UeWTItfKM20DKXhleJW/raXSPyMnCL3Rho7H5qhFm9uO6tfvTyxxl0e/D0C38atKv+5CO6IjBTgwKcOU4fxCIkDnsymwrQy6ET40e/C3bT/+BrnslP/mBmZ/CQYliDS/U6NN4u55owqDb/Y18Hz6LQbMi+HD1TX5J6TuWF72BsVQ9YZNiz6xLlwY2Lyb9zqvF7QrdGjV2UvYWY/SCJ88KmTdx6WleSY0giyx6j4ZT5N3/x62vkh3A2KGiGo0vCP7hFhQvJ2lAH4ZYXlI8VF9rRUyI+20zdvOBdO0J1IYywTxprNsOyDhNrzjdDNp7m6ztRjhLdyW/I0bviKjyyLqRVWeIJ1vcY25S1+O7OWhsneAz7fO57ciLQ42iUR5SzyDeTJcf7IkgXaLftvtkWIoqhTHCOGUGKFYnUi1rrE4yfFjdmdEdruYnmOzTWOuBYGjLGiXMaiZkt6QjVngqdtD0mTNtMQOh331Lid6RnB5eG/pKg//RxzYtdLFh1pRDLxfbjgw8TrRf5jvvvMD2kUm+I9D06+8l/3gLeuc802DTGURi4oDLBCr+YiBYXQ64Cw9RdH0mplljn6z7olfqF04TLtWiPx1mJVaaSX3YdD28SDPSnpJTS0/HcDEzSNrtkEn9wTlmS2b2DNgyfRWL3NLz3JAAAgAElEQVSGhnwIFBT0MHvc7bHL5SqBHXD3sJyc+oxJxAyCk8flTNE408VrRLyRhI40cpUM30whgXkaihMINHXyQ/ALl7WAXGNTiPVSiNKo3u2g1Jt+8Di6rX6f+S/djDg5CUyRrV08RINMhJET4Zz/Jr6XKEdY+8ULsHF5Rje7Js2MR5uOc2gtqX7bRpecCBkjFu+NFweHCaBKI0+o7xFhpXLob3ceFvQ93HtDfQ7zZvGSCzx3RshJyEY3H+JmdNw8H4CG7Rvp9ppjpOGUKIljIhsIJBjvoKAAesfZTJrDdJ1t72TekMaQxn7x6q8TKz8/jRE3Q6hvcFZg7Rsj1lTeDDd9Ngvf9FUOVRoZYn1J9/iFYlDcul14QllTrIzEzABz580pLvUhprAhiqLAR499rRoc4lf4gAiYkRe45tdUO7hqCY2Y2DqBOC9K+tjh9nYfwvrF6ZcD2/GlA70aq6xQCMGpv+Xh1n7eHBx6R5WGX/Q8IGZ2Ub/DHdOrj3COyf39T5s86G5sPxAOTvDtx402ebBeE6iDr18nzGVfiGKUCNfgDWXdku8rXXb3ZZ2QQe4eiuvqHdZRQq24YtRVMsgPuROutrrTPu6ZL58PT/7UMavR5/DNqjT8oLgMCmNHdCtvVQTHRTu1K2jd3rF8UWHTv6a4uBja7ere+O77saLzod5kjSNnTGqrPceQSIl3/gTPTgh3Py0xpqec4qK8cI6nrqJGaVd9403Gix3ipITQeNBl0Mt97aW23uHtLzRE5zH/500OJc2EjMzd1jcytO5RPuuh+IW+/TwqqdHn0K+qNFLlqm/gykXeyu7/i6ikQpdAUGGBdgoKrVCbYYTcqAPGUJu+kMBN3NIHbtkj/f1sWB4zO/JBX3vIVdGFvvo3PP4TD51FKI14+w2CxFG+Re26WesQLtTVOSxOzv9P03FJmTc5co3OMXcM5Df/57LPZJPHF40Uab/qo/iFVlZGJSW8fhYHVRqp0rqDFQIzLsZxKqSo0EVphIw0aro5WOKUhFpMGVflE5NE32YTdM+RLso2zA87LyhzcZPuwY315jbRTuk8EWffROEue8fMj/oh11bDv93XQPKG01+ANilMF+YaoWsa+eCA1MEz7ydLPLrD8YgqjUzioDQKi5w35RcVNpWt3uuU6AIdeoY3nYzS6H9M/DLZIM46Q3Ft+A+jsF2Mh1S8qQOnvn7+fHSazwQCEQr44dFp7zMjdNoTDm9G3m6rpscvk0NmuXx4W1TS1h1qcpu7JDE0D33Yf9aqyaSyKMRCqKQ+wo9V1GK2UFKchEeYLv3gBo9rFF6sSDKEifiRFu0aw8vsrNjhfaXR4Qc1IP3KNMqiZc1854L5SGFJ/DI5St3mJPbsfPkEDU+N918Yn9CF8Fzm0hmJlT/x72GmpI1SZPm96l5ByECDooKIN5moh5qhR6cENviF4tV6qC49pqlRGANfvxazSH0g/EcgMdYhAmuXxO6uvsn19doBDp6KnehzmLdyMShZ14yURCTBF6F9J2RXjiRYWJncjvXCxW9YL1brYt9v2aCkYauv7XlSGiIyRkQWisgSEYkae4pIqYg8Z+d/LiK97fQSEZksInNFZLaIHB5SZ387fYmI3CMt0efwfmeFWdg0SBH89ms4/52wxd6dCuSAi6zPHiOjmkpqeioBTKZcbXh44y7r7LAgWeKsNAPrYkcw673h453Hm/udHLdvAE5+0Fu5GOz+5Z2w6buU28lpjKH2hCTiiGSRPb72YKHkxv2j4N79/RMmHr/1ZoAzestLvnYbV2mISCFwHzAWGARMEJHI+YDzgI3GmH7AnUDQq9f5AMaYIcDRwO3S5EToAWAi0N/+G5PaV8lTWoW8JRc4W+QUltgOyY65GU55GIY77GD2Q2nEcHO9dXtN6u17wYN5YHlZ6+jEP6yEC6Ij9omJvbGpa02TpVaB12vog7fWNpsXw112XPlMutfOMAV7H5dtERKi/dqZyVeuzpD79wFjobQ9tNuFDV0q4hYvq/nB1+69jDRGAkuMMcuMMXXAs0DkzqOTgMfs4xeBI+2RwyDgHQBjzBpgE1AhIrsB7Y0xnxprgvpxwIt9ZPMjZERR0dd5QVeCo5GCQhgyztmU0wfXGjE9kVb+K/X2/cJNzt32jU5zmlab+6Jj9ZLi2Ga0RgrhQg9mjzGoLY8wnf5LL3jC4wgn3xChyMXQo8WzaCp8mKTzyXGPwDXWKNUUlvoolDe8PGm6A6Hj6Co7zbGMMSYAbAY6A7OBk0SkSET6APsDPe3yoQGendpsHgR3ch/uEgozZJ9A69IQF8ddm0w2i4o8bMhzUhqRC5Id45iXdh3omtVuVg4pjQRcoZR+83504pTLnMsWxx5pmGNvg12HeO7bsY1uEYP02gzFYsgS4jR6TjTeSXPk6Z/BOzcmt1k2ZETc6MfLYqLdeyjjtNYQ+at1K/MIlkKoBO4CPgECHtu0GhaZKCKVIlK5dq2/9sYZ4egbrSAtblMaoUs5/UPMLsuafA8VF3n4N3VyUAihDu4GngDnu0yDBOfoR+aJB9VkTRz/czGsWeC6+F8a5zoXlMd5r3Ea6RwbbgLZIt68gy51Bo+DAofv+8zPMytPLrBllbMl3+xnvNUPjQRa1DS62JaRXb3heFEaVVijgyA9gMjJu51lRKQIKAc2GGMCxpgrjDHDjDEnAR2AxXb5HnHaBMAY85AxpsIYU9G1ax74TUqUMKVxlGOR4hg7iwHL4mofZ78z7GNPffQ+LEwRhbHveEuxuSwmZxQv9hB7/ii5tmc9Cfe7u/aIpzRoG2/TmoPsI88POy30MGr8Yuif45bJaTr3te6n/kc5r7U11Ean5QI+m6aG8fhP4D8XWeGDw/Bo/+MSPjpWfI/GNrt4FC4xvCiN6UB/EekjIiXAeCDSF/AU4Gz7eBzwrjHGiEiZiLQBEJGjgYAxZr4xZjVQLSIH2msfZwGv+PGF8oaREz0XjevVtawTFDlE7zIGyjonKFiWeOcmmFQOAQ8PlF2HsOywuxyz1rbqHaeycV0TKQ7dnX/etOgCuw+P3bSHay3D4puhtt/+bdwyeUM+GUX6pcyclE/Qj1qkoUesUMMe2K1Hb9c8KUzPqDau0rDXKC4BpgILgOeNMV+JyI0icqJd7GGgs4gsAX4DBM1yuwEzRWQBcBUQavZzEfAvYAmwFMiTyEA+Mfrm1NsI9azb3i2ueQI/2mwqmOBO1g+8hdMs7eD8fbt08uBS3GV6K0w59xyB2X0/T7IA1t6Nn3ow1wwJnuVKms2ns40JZMgSL0EaFk31VrDIwXovlBmT3fMileg2D1PuW1ZjnnF+2Sgpi+ErLRXnpDHwpIqMMa8Dr0ekXR9yXAOc6lBvBeAYPNgYUwkMTkDW5oXTXG+inDXFgz+cBOb/3aavMsnit6LTJn4QldR9+DHR4108xhYJ7HBOj9jRn9DWoaLW0KaLc97h18D7zi7wnUj3nptsI5ur4hfKAoG6Ojxd+ePvsKaa3NgaYeIa6l69aka4x+qNcZwdrvka7j8gxquf++/b2i3hP7ojPNNcMd962Mdbp/BCcas4D3oDnftbhx16Jd9Prb87Sj2z17HW5+4ODhvdHuipWJNEXsvWLo4QnYj1oD/8asvIweOmwOauNHKV+lqPDgmHxVnI37LS2h2+ZbV1Xr26Ke+pU+AfBzedf/UyrJ7t3la8SIexjEIGnhC7bpK0AFOOHKO8u/XnhV99ntoQc7+zYdBPLDPR3gfHL+9GXZaUxrjJsH1dYnUG/cSbkzkvjL4ZllhrG9t3HUmUs/IOvcLjmMfi9Be89+vHC4WSMG3f9CnQWc0WuHMI1FVbBgHxePAw93LxXoJijYaPvB4+dl77SwW9O9NJKm/3AN32doij4ZFJm2HwT+3Y0ikojGxS3ArKe8QvF0rPaBcrSdOtaa9M2ZDjo/Mv/gJOttcxfPR06nlnupIWPj3wgdQaWPCqpTB8YHuEn7UZnSJ22P/oKhh+hnPlNN1HqjT85vg7m44v+tRbnUN/C+c6zOVnkcZG94dgQ4PPpok+RxZLC05Kobh1dCyVkx8KvweS6UqVRlaRVuUptuBlG5s3NmwL9/m2pTBiCrWsE5x0H1yZmTjloErDf4LDyf3OglKP+x6OvB56xY4xnmncgtgDbFzwvr+dfflEcvV+/gL8wieju4rznNMP/FXsesH/d3Aacd/ToOLcmFUCxbGDdq3fmhvBrvxi7cGTsi1CQhSVOJivJ8v01DwpBBrDFU5Jg8u6S9w9RP6hSsNvgmawe6dnESpTNDTYb/+TyuH2cAO4z+b57P45WbfrA0bDHqP8keHI65zT47319zsKDrrEMf67G9/v5TKdYDO8t4sVVp5SumVFtkWIT4ixR3GJB39OXq0f//tbeNJl420oHzmvPdRHvLx16ZD9DbiqNPym20BrPWFAfkdia4jhvLCuzmc7ez8jn+0y2DKd7bYPS7sn4AMznqWU24JjYZHlfbitd28F3Q918FIcQmkcx4n5RkE+LOw/d/rOw5hKYxfb99gffPZo+6mzC/n2y14NO9/rzLsTa3cX/3c15MF/U8kGDYEGmDbJMa97e7+N7nxUGiVlVjCsX31C2/Ic2HfigOyyT+wC+fCQTYCa4bGn63KCZe/vPGxVWgrlPZ3LVZxjfRb561026hew/H/w/Vw2tmsa5c8sGh7bWmrgidFpcWLZJ0PzujuVlFm+qxXWJNDQALOfdSyz5/KnXd+MkiJNMZa7DTkyLe2mnTRtysoWBcU+rhFkgA4lJtqY4ZoqGHWZ+9pXisi2iDCzj50A/ziE+vqm9a3GePfFaUmuDSaIKg0ljI3tLTPTBtPg+jDvunkuTP2Db30G0uQoTvo5O4BMiPb2npq2Pjt/6xtDoWXB3XU6aV2aXzHDO+4xBCJHg6XtYPRNGfel1VDX5L2gwSVIW6bRzX1KGMHdyI0N6Xn7d6LonRvS1HCpNaf7w7zk2xg50XJr7zT0T4VYD59BkTHO8ptWEjt6Yq4hkdODpzsH7aK4zIMbn9RorA9RGpKE0kiDkmterzRKynTb+CUA7af+GrZ+H5W/kfaZFil5ROD891Jro6DQeoj7/ePrEuGS7br1TcclbfztK8tILvg0i0XIeoYj/Y92Tr98rmX2/avPfBcpSNm2Jj9djYmMNI60X8SGnuazRKo0lAi6/2AFaipb8ppjfiFpjDnQkhh+evh5mtxY5wROlmmTymHzyszL4sTjSY7s2nSxrCS7uUe8TIrtG3Ye7r2uadNv14Y1TqXDueIr+M3XcOhv7AaO8+bKJAFUaSgJ0Z4s+aFKFhd7+nqT5cXmyLCvofjhATkfiOUpthmzurNzILCdXhiWOY+O96qdG7/x8h4xwiT4gyoNJXl+mJ9a/e0bYOVMf2Rxo6CAb9s6hGHNNrGmu/IpcFEqtJTvGUHHHgMc0+uDBiFpsib0ixbyStPCSCR4UCps/R52ifHGHI9HxjRFNIugsajMtzcacQj6Uxj6vDpqkk89JUdjYan1XSc8C5u+y6osSgZwsY6rCzRSWlQIXoNBZQkdaTRHvPq8SpGUX4hcFAbg61toq4LodZgCCRE+0ulgpjj0t5Ys59kPib3GwgHewwDnPVtWxy/TDGl0WZxu91fbfczc5zMoTeKo0mhOHHSJ9bnr0Ix0V9+QB95pgQ6tHBSQaYRe9txycVSkjMxw5PXWImW82OPNlVgvDZnikbEZ77JsT+c1jXh8sFtu7KxXpdGcyKCnS4D6QPqURv2Bl/nWVkOnfs4ZY/4CBcXe4nYrqXHxdCtqZa7x7Sfh52NvzY4cHtj/sOPiF8oAqjSaIylM7dTue7Z75pXh3m3TqTSKd4vjnykBakf9tulkxPlNx7sPh+vXhcdsVtJD1wHeI1ZmkyHjrM82aX4BG/eIc3qMOd+2e+ZG+ARVGs2JAfZQe/ApybfRuoN7XnHrsNO6QAp7Nratj5ntp2fU8jYhch93m/W5R55GM1TSS3AjYmER9PmRNYXoJ8X2xs19fgon3AM/ezw8P2ZAstywNlPrqeZE1wEpb+Qxw8+Cz1zcL0cssEf6+k+wpzj5afyBXPxFk08pJbv87zaY+yIUlcCAMfBj/3yapczZU/xv8w/2hkYR2P9sqJoRlm3+3NX9zs8Rn2S5IYWSM0j57tGJJe1g5AVRye3nPJw+QVIx5Y0kcsjfda+MWZgpcXj3Jli7AFbPhg9uybY0aWNjxeVWlMmoqePwe1NixLHJlX0tOtJQwigqcvBv84cm/zec9cpOtwvtVn5oRTxL5gFcWx07v2PvxNtUlBylZtg50KNPdEZC93luKA1PIw0RGSMiC0VkiYhc7ZBfKiLP2fmfi0hvO71YRB4TkbkiskBErgmps8JOnyUilX59ISU1CuKFN93z8PDzd/+cXEf3DItOuzRNu8Nz5A1NySHqtsGaBf611zq2U8Zd3cK0tumSulPNDBNXaYhIIXAfMBYYBEwQkci5g/OAjcaYfsCdQHCceSpQaowZAuwPXBBUKDY/NsYMM8ZUpPQtFN+Icgsdh0CtP66hq7sMg859YXjsUKhJ0WEP63Ofk/1vW0k/gTp46lRYNcu/Nv91FNx/oH/tTXgmZrbEdEjpcZdsYW7E0/DyhBgJLDHGLDPG1AHPApFuIU8CHrOPXwSOFBHBuhptRKQIaA3UAVt8kVzJDINix9n+bpnHt7WqGTHNCU3QauSEe+BaD948E6G0rWUgcOqj/rarJIxJZDF39RzLG+7Xr8Lit2DKJf4JssbnPSO94iigWFH34jmoPOQ31v0bbxYgQ3j5D3YHQh3iVNlpjmWMMQFgM9AZS4FsA1YD3wK3GWOCfn8N8JaIzBCRFuQ7Ic/4yQMxszvUfBu/jQWvwr+OgOn/ci1S0FBrHxT4Hn9ZyR3Eayjb7+fBg4daxwvfSJ9AmaIoRsjbWB4cfvpPOOI6/+VJAS8L4U4TwpGvjG5lRgINwO5AR+BDEZlmjFkGHGyMWSUi3YC3ReRrY8z/ojq3FMpEgF69enkQV/GVktguNrYWd8EhWkI4VfaS1etXwsjzHYts7lqB2jO1ADr1gXWL4peb9VTT8dwXrM/v51oGFNnyFZYov3jTsgI0jZZJsRux1tyG/sx/uVLEy0ijCugZct4DWOVWxp6KKgc2AD8H3jTG1Btj1gAfAxUAxphV9uca4N9YCiYKY8xDxpgKY0xF165dvX4vJZ2EuINY0jmGC47lH8Kc561Fxzis7X2CH5Ipuc7h18QvE4P6Wc/6JEgaiJzK3eMgaFXuHIQqj/GiNKYD/UWkj4iUAOOByF0vU4Cg/4lxwLvGGIM1JXWEWLQBDgS+FpE2ItIOwE4fDaQQyFlJC7sOcU5v02Xn4Y+/vce9/mPHw8vnEzUwfeemqKJFBbkdQ0DxicIYb9xhOL99F79xpRWHpTYHg4G1d9jjlAJ143PT221cpWGvUVwCTAUWAM8bY74SkRtF5ES72MNAZxFZAvwGCJrl3ge0xVII04HJxpg5wC7ARyIyG/gC+K8x5k0fv5fiB2e/6pyeSKxiJz68LSpp0K55MuWgpEaKi7lbpD38rY/1l2sceQOM+GVSVXd0GRyVVtgpB78jHjf3GWNeB16PSLs+5LgGy7w2st5Wl/RlQA6GU1PCcBtWR5rl/vtC2GUfGHWpS0Px90kUaOzxlkG/o+GAC+Hzf8Qut+kbx+T2xja+bKhLXoYnxzkm1/UYhddxkCPFreDgX1sGH3senlDV1nsdCevCJ1sKJTdH3+pGREmd2c/AW9fChuUuBTzc/C0lLnZLp7AIxnpwF7J9g2PyhqIQ77ObqyBQm7gMS952TC5pG3uDnic69IJxk62/VOmYxyMNpYVx9qvQmIQzQjcPnTFMbQEr3Kp6nVVCMAWFjuPTosaQEcadtvv8FJ10+s7gnyZRyeHbxrK4yiKqNJRo+hyWXL2Ny6GLHfDIbSPftnXRaYdckVx/SrNlw/Z6Ojukt2/clHFZlHB0ekrxjdWvTGo6cVMab9+QEVmUPKXOckuzrTELb9kpB71PgTzyj6ZKQ/GN3baGLOS5uXie9WRmhFFymka3R8+qLwFoW5obLjMyRqjC6jowe3J4QKenFF8xDQHLOdt2h2koRbGRgkJodHixsF82TDbe+gcck/k+g7Tbzfr80dWWFWJt7rroU6WhJEfrjrBjY1TyN8sW0rv/PnD7XlkQSskbCgqhsT4qOdDYSBEhDiwzSY8sOtseeT607WbtKi8oyOkgYTo9pSTHFV85Jnd9+9Lszg0r+YGL48Laestqr/2Guf73eccgy2tuLlJQaFldJRiaIBvkvoRKblLSxjm9biu8lNyuWKXlIC47wwN23PmSujRYSW1Z6X+bLRBVGoqvNBoD8170XiFHNzApaabtLo7JgUBD9kaqwXUFJSaqNBRfKd0W6QA5DsN+nh5BlNxmtHOY4EBDA3z93+iM36QYmtWLIirzYUd4C0CVhuIrJYEEvY/u/4v0CKLkNv1HOyZ3mXpxlJuPxuK2lgfZVHZ+L5qafF0lDLWeUrJLHm1qUnzEZcG3sG4zzHh05/n2CyspK+/iWHYnjY3xF5DVBNw3dKShKEr26NQ3ZnZR5z3jBzEyKZjnuqytKO6o0lB84ctR92VbBCXf+MWbcN5bMYsUF3l4RKWyp+PKRXDqozDukeTbaGHo9JTiC+3btmE9HeiMOpRTPLLHQXGLiIfpS1O/HSlu5V5g6h/h03vd8/c5OW4fShM60lB8oW/XtqowlKzQ+Ipb8C8bN4VRFEPRKK6o0lD8QXeBK1micOFryVXsFX+ko0SjSkNRlPzhqm+sv0g+vjvxtg66JHV5WiCqNJTs4uaORGk5lCbgD6p1B+svkrevhxUfW76lXMMOR9DvSO/9KjtRpaH4Q3mP5OoVt/ZXDqXl8uix1qdX32e6RygpVGkoqdP3SNhlkHNeiYOL51MfTas4Sp6Rzmf3sved0389O42dNm/U5FZJnU57xsh0eCK0Vh8/Sgjte0BNCi5CIllZCeuXWjHr37zGuUzH3v7118LwNNIQkTEislBElojI1Q75pSLynJ3/uYj0ttOLReQxEZkrIgtE5BqvbSqK0kI482U45eHE6nTuFzv/i4fgyVNg3aLk5VIcias0RKQQuA8YCwwCJohI5FzEecBGY0w/4E7gFjv9VKDUGDME2B+4QER6e2xTaa7oXLISSrtdYci46PT23d3rdNgjffIoMfEy0hgJLDHGLDPG1AHPAidFlDkJeMw+fhE4UqytnAZoIyJFQGugDtjisU0l1ymyF7H3P9u9jCoIJVkmfuCed8q/YtcN1Pgri7ITL0qjO/BdyHmVneZYxhgTADYDnbEUyDZgNfAtcJsxZoPHNpVcp9z+l7WKYTI59m+ZkUXJe7aNfzk8oW1X98JlnVje9Qj3/BBPuVH0PDAhuZRwvCyEO70qRm7/dSszEmgAdgc6Ah+KyDSPbVoNi0wEJgL06tXLg7hKxjj9BZj9HJT3DEtuqDifwq2rLUdywybAfy4Mr6d7MxQHiopLEypvkjC7qu66H+3OfTPhekoTXpRGFRD6VOgBRIZnC5apsqeiyoENwM+BN40x9cAaEfkYqMAaZcRrEwBjzEPAQwAVFRXqqyKX6LQn/DjaOqVw7F+gsNi5TnEZdN8/zYIp+UhpYWJKYGtJt4T72NFtOO10yjQlvExPTQf6i0gfESkBxgNTIspMAYIT2+OAd40xBmtK6gixaAMcCHztsU0lXxGX26rXKLh8bmZlUfITD84EawvLEm7WdIxlHq54Ie5IwxgTEJFLgKlAIfCIMeYrEbkRqDTGTAEeBp4QkSVYI4zxdvX7gMnAPKwpqcnGmDkATm36+9WUrOGmNM59I7NyKPnLH+LHmh+wa3vrtTQBZMBRSQqkBPG0uc8Y8zrwekTa9SHHNVjmtZH1tjqlu7Wp5DmDx8G8F9ViSkmdgsK4RcpblyTcbDJ1lHB0R7jiHyf/A469NTr9ysXuaxyKkixuI9oYFBeq56RUUaWh+EdhMZQ5uAhpm/iCpaLEJQmlUaCj4JRRtasoSo6QoHFk70MS78LJrbqSEDrSULJDQXHT5kBFSYY9RiVeJ9ZGVMUTqjSU7HDtD9mWQMk1gg/04Wd6r1PaHmq3pEcexRFVGkp28GAdo7Qwdh0CP38B+hyabUmUGOiahqIoucOA0QlGc2xa2F69/+/8l0eJQpWGoijNgjZDjs22CC0CVRqKouQvpz6y87B9qcts+7G3ZUiYloEqDUVR8pd+R8GuQ61j0xiVvbbnMTDy/AwL1bxRpaEoSn4T3OTnoDQ6tUvcqaESG7WeUhQlvzn2Nnj9Sug2MCqrcOxfrYNfvgNb12RYsOaJKg1FUfKbniPgApfQsO12tT57VGROnmaOTk8piqIonlGloSiKonhGlYaiKIriGVUaiqI0T85/N9sSNEtUaSiK0jzpsEe2JWiWqNJQFKX5cN60kBMNuJQOVGkoitJ86Dki2xI0e1RpKIrSPNHQrmlBlYaiKM0Tp3j1Ssqo0lAURVE8o0pDURRF8YwnpSEiY0RkoYgsEZGrHfJLReQ5O/9zEeltp58uIrNC/hpFZJid977dZjCvm59fTFEURfGfuEpDRAqB+4CxwCBggogMiih2HrDRGNMPuBO4BcAY85QxZpgxZhhwJrDCGDMrpN7pwXxjjLqgVBRFyXG8eLkdCSwxxiwDEJFngZOA+SFlTgIm2ccvAveKiBhjTEiZCcAzKUusKIoSi1+8ARuWZ1uKZouX6anuwHch51V2mmMZY0wA2Ax0jihzGtFKY7I9NXWdiNrHKYriA3uMguGnZ1uKZosXpeH0MDeJlBGRA4Dtxph5IfmnG2OGAIfaf2c6di4yUUQqRaRy7dq1HsRVFEVR0oUXpVEF9Aw57wGscisjIkVAObAhJH88EaMMY8xK+7MaeBprGiwKY8xDxpgKY0xF1+ccTAYAAAglSURBVK5dPYirKIqipAsvSmM60F9E+ohICZYCmBJRZgpwtn08Dng3uJ4hIgXAqcCzwcIiUiQiXezjYuB4YB6KoihKThN3IdwYExCRS4CpQCHwiDHmKxG5Eag0xkwBHgaeEJElWCOM8SFNHAZUBRfSbUqBqbbCKASmAf/05RspiqIoaUPCDZxym4qKClNZWZltMRRFUfIKEZlhjPElULruCFcURVE8o0pDURRF8YwqDUVRFMUzebWmISLVwMJsy+GBLsC6bAsRh3yQEVROv1E5/SVf5NzLGNPOj4a8uBHJJRb6tZiTTkSkMtflzAcZQeX0G5XTX/JJTr/a0ukpRVEUxTOqNBRFURTP5JvSeCjbAngkH+TMBxlB5fQbldNfWpycebUQriiKomSXfBtpKIqiKFkkL5RGvHCzWZBnhYjMtWOBVNppnUTkbRFZbH92tNNFRO6xZZ8jIvulUa5HRGSNiMwLSUtYLhE52y6/WETOduorDXJOEpGVIeF/jw3Ju8aWc6GIHBOSnrb7QkR6ish7IrJARL4SkV/b6Tl1PWPImWvXs5WIfCEis205/2Sn9xErRPRisUJGl9jpjiGkY8mfZjkfFZHlIdczGLY6m7+jQhH5UkRes88zcy2NMTn9h+XQcCmwJ1ACzAYGZVmmFUCXiLS/AVfbx1cDt9jHxwJvYMUcORD4PI1yHQbsB8xLVi6gE7DM/uxoH3fMgJyTgCsdyg6y/+elQB/7XihM930B7AbsZx+3AxbZsuTU9YwhZ65dTwHa2sfFwOf2dXoeGG+n/wO4yD7+FfAP+3g88Fws+TMg56PAOIfy2fwd/QYrrMRr9nlGrmU+jDR2hps1xtRhuVg/KcsyOXES8Jh9/Bjwk5D0x43FZ0AHEdktHQIYY/5HeByTZOQ6BnjbGLPBGLMReBsYkwE53TgJeNYYU2uMWQ4swbon0npfGGNWG2Nm2sfVwAKsCJU5dT1jyOlGtq6nMcZstU+L7T8DHIEVIhqir2fwOr8IHCkiEkP+dMvpRlb+7yLSAzgO+Jd9LmToWuaD0vASbjbTGOAtEZkhIhPttF2MMavB+iED3ez0bMufqFzZlPcSe4j/SHDaJ4Y8GZPTHs4Px3rrzNnrGSEn5Nj1tKdTZgFrsB6iS4FNxgoRHdmnWwjpjMtpjAlez5vt63mniJRGyhkhT7rlvAv4PdBon3cmQ9cyH5SGl3CzmeZgY8x+wFjgYhE5LEbZXJQf3OXKlrwPAH2BYcBq4HY7Patyikhb4CXgcmPMllhFXeTJlpw5dz2NMQ3GmGFY0T9HAgNj9JkzcorIYOAaYG9gBNaU01XZklNEjgfWGGNmhCbH6M9XGfNBaXgJN5tRjDGr7M81wL+xfgA/BKed7M81dvFsy5+oXFmR1xjzg/1jbcQKyBUcJmdNTrGChL0EPGWMedlOzrnr6SRnLl7PIMaYTcD7WGsAHcQKER3Zp1sI6WzIOcaeBjTGmFpgMtm9ngcDJ4rICqxpxCOwRh6ZuZZ+Lsyk4w/LP9YyrIWa4ALdPlmUpw3QLuT4E6y5ylsJXyD9m318HOELZV+kWb7ehC8wJyQX1lvUcqzFu472cacMyLlbyPEVWHOtAPsQvli3DGvRNq33hX1dHgfuikjPqesZQ85cu55dgQ72cWvgQ6wwzy8Qvnj7K/v4YsIXb5+PJX8G5Nwt5HrfBfw1R35Hh9O0EJ6Ra+nrF0jXH5aFwiKsOdA/ZlmWPe0LPRv4KigP1hzhO8Bi+7NTyE12ny37XKAijbI9gzUVUY/1FnFeMnIB52Itii0BfpEhOZ+w5ZiDFXM+9KH3R1vOhcDYTNwXwCFYQ/U5wCz779hcu54x5My16zkU+NKWZx5wfcjv6Qv72rwAlNrprezzJXb+nvHkT7Oc79rXcx7wJE0WVln7Hdl9HE6T0sjItdQd4YqiKIpn8mFNQ1EURckRVGkoiqIonlGloSiKonhGlYaiKIriGVUaiqIoimdUaSgtChHpICK/so93F5EX49VJoa9hod5lFaU5oEpDaWl0wPL6iTFmlTFmXBr7Goa190FRmg26T0NpUYhI0HvrQqwNegONMYNF5Bwsr6CFwGAsX00lwJlALXCsMWaDiPTF2szVFdgOnG+M+VpETgVuABqwHMIdhbWZqjWwEvgL8Brwd2AI1g7sScaYV+y+T6ZpZ+7Txpg/pflSKEpSFMUvoijNiquBwcaYYbZX2NdC8gZjeYlthfXAv8oYM1xE7gTOwnIf8RBwoTFmsYgcANyP5fvneuAYY8xKEelgjKkTkeuxdghfAiAi/we8a4w5V0Q6AF+IyDS775F2/9uB6SLyX2NMZTovhKIkgyoNRWniPWPFpKgWkc3Aq3b6XGCo7Ul2FPCCFY4AsEYHAB8Dj4rI88DLODMay9HclfZ5K6CXffy2MWY9gIi8jOUeRJWGknOo0lCUJmpDjhtDzhuxfisFWDELhkVWNMZcaI88jgN2hgONQIBTjDELwxKtepHzxDpvrOQkuhCutDSqscKiJoyx4lQst9cvgvGh97WP+xpjPjfGXA+sw3I5HdnXVOBSO2oaIjI8JO9oseKPt8ZaW/k4GRkVJd2o0lBaFPYU0MciMg/LzXminA6cJyJBL8fBkKi3ishcu93/YXlBfg8YJCKzROQ04Cas8KFz7HI3hbT7EZZn2lnAS7qeoeQqaj2lKFnGtp7auWCuKLmMjjQURVEUz+hIQ1EURfGMjjQURVEUz6jSUBRFUTyjSkNRFEXxjCoNRVEUxTOqNBRFURTPqNJQFEVRPPP/54fCqXd1cZsAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[['timestep','experiment_index','run','price', 'spot_price']].groupby(['run','experiment_index']).plot(x='timestep', y=['price', 'spot_price'])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"df['err'] = df.price-df.spot_price\n",
|
|
"df['abs_err']= df.err.apply(abs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1fab2f60>"
|
|
]
|
|
},
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[df.rule=='step'].err.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a2008a8d0>"
|
|
]
|
|
},
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[df.rule=='step'].iloc[1995:2050].plot(y=['price', 'spot_price'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1f7a4ef0>"
|
|
]
|
|
},
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[df.rule=='step'].iloc[1995:2050].plot(y=['err','abs_err'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1fd82940>"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df.abs_err.plot(logy=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"run experiment_index\n",
|
|
"0 0 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
" 1 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
" 2 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
" 3 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
"dtype: object"
|
|
]
|
|
},
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[['timestep','experiment_index','run','abs_err']].groupby(['run','experiment_index']).plot(x='timestep', y='abs_err', logy=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
|
|
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<seaborn.axisgrid.JointGrid at 0x1a212b5160>"
|
|
]
|
|
},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"martin\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<seaborn.axisgrid.JointGrid at 0x1a217e3eb8>"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"ramp\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<seaborn.axisgrid.JointGrid at 0x1a22890ba8>"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAa8AAAGoCAYAAADxbmq5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3XecXHW9//HXZ3tNstlsNmXTeyNACk06QkCKaABFvYAoKnK991rxpxcR9d5rRe+Vq+JVUJCOUgQJIl1qCJCeEEKy2ZTNpmzL1tn9/v7YWRw2s7szs3PmTHk/H495ZMopnySbeedbzveYcw4REZFUkuV3ASIiItFSeImISMpReImISMpReImISMpReImISMpReImISMpReImISMpReImISMpReImISMrJ8buAONNyISKS6szvAlJBuoVXxmto6WTDnkYMKC/Jo6qsiILcbL/LEgmrrqmd2sY2DrZ0UDmsgKmjisnJVoeQDE7hlQbaOru4+9Ud3PL3d9i2v+U9nxXmZXPKzArOWziOs+aNITtL/6kTf9U2tnHnK9U8tnYPG/c0veez/JwsTp5ZwedPnc7CCSN8qlBSgaXZwrxp9ZuJxN821HLt/Wuoa25nVmUpR08cwcTyIrLMaGwLsGlPEyu3H6C+pZNpFcX82/tn8oEFYzFTiEli1TW1c9NTW7jj5Wo6u7qZNaaUoyeWMWZ4ASX5Oexrbmdr3SGe37KP5vYAZ86t5AfLj2BEUZ7fpSea/nFGQOGVorq7Hf/z5BZufGIzk8uL+MRxk5k7dlj4bZ3j5a0H+OPrNdQcbOWE6eX854VHMLG8KMFVSyZyznHvazV875ENNLV1ctKMCj541HgqhxWE3b61o4sV6/Zw/6oaxo4o4OZPLGZOPz/baUrhFQGFVwpyznHt/Wu4e+UOTpw+ik+dOJW8nMHHCbq7HX/bWMudr+zA4bj+vHlcsmSCWmHimf3N7Xzxnjd5ZnMds8eU8qn3TWV8WWFE+26ubeKnT2ymLdDNHZ86hqMmlnlcbdLQP8gIKLxS0Pcf28gvnn6bDx45nosXV0UdPvub2/nVs1tZs7OBC44cx39cuIDifA1/Snyt3HaAz9+xigOHOvj4MZM4Y24lWVH+rB441MF3/ryOtkA39332OKaPLvWo2qSi8IqAwivF3Pr3d7j+4fWcPns0V75vSsytpu5uxwNv7OT+VTVMKi/mFx8/mtljMqprRjzinOM3z7/Df/5lI6NK8viX02cyZVRxzMerbWzj+ofWUZiXzYOfP4HR/XQ3phGFVwQUXink9eqDXPTLF1k4YQRfPGMmWXGYObhuVwM/f2oLrR1dfOeC+Vy8ZEIcKpVM1dDayVfufZPH19eyZHIZnz15GkV5Q2/Vv7PvENc/vI4lk8q47cpj4vKzn8TS+jcXLwqvFNHY1sk5P3uOts4u/vNDR1ASx26++pYObnp6C2t3NnLx4ipuuGC+rg2TqK3d2cDnbn+NXQ1tXLp0ImfPHxPX8dQnN+7l189t5avLZnH1KdPjdtwkpPCKgK4GTBHXPbCWXfWt/PNpM+IaXAAjivL4+rI5XHjUeO5ZWcOH/vcFtu8/FNdzSPpyzvGHl7fzof99gZaOLq47dy7neHA5xqmzKjh26kh+vGIzr1cfjOuxJfWo5ZUCntxYyydvXcnyRVV8+OgqT8+1qvogv3j6bczgxxct5Mx5Yzw9n6S2Q+0BvvGnNTzwxi4WVg3n6lOnM6wg17PztXQE+Nr9qxlZnMcjXziR3PRcjUMtrwik5d98OjnUHuCbf1pLVVkhFywc5/n5jp5Yxn9cOJ+Kknyuuu01vvGnNbR0BDw/r6Se17Yf5OyfPceDb+ziokVVfHXZbE+DC6AoL4fLj5/C5tpmfv3cVk/PJclN4ZXkfvrEZnY1tHHl+6YkbM23itICvnXePM49Yix3vFzN2T97jlXqppGgjkA3P1qxiYt++QKtnV1889y5fOjoqqinwcdq0aQylk4eyc+eeEvd2xlM3YZJbNOeJs752XOcPKuCT5841Zca1u9u5BdPb+HAoQ4+f+p0/vm0GRFdEC3p6a3aJv7t7jdYu6uRk2dW8E/HTYrLbMJoHTjUwZfvfZPjpo7kt1csTfj5PaZuwwgovJKUc45/+u0rvF5dz08uXkipx90xA2npCPC7F7bx7Fv7mFZRzHc/uIDjppX7Vo8kXmtHF//z5Fvc/OxWivKy+dT7prJkykhfa3rojZ3c+eoO7vj0MRw/bZSvtcSZwisCCq8k9dTGvVxx66t84thJnLNgrN/lALBq+0F+9+I29ja184EjxvLVs2YxqTz2i08l+XV3Ox58cyc/fGwTuxraOHH6KC49ZmJSLJbbEejmS/e+QeWwAh6+5n3pdO1X2vxGvKTwSkKdXd0s++mztHR08YMPH5FU9zfqCHTz0Js7+fPq3XR1Oz6ydAJXnThNi/ymme5uxxMbavnZ395i3a5Gpowq5hPHTkq6BXKfe6uO/336bX56yZF88KjxfpcTLwqvCCi8ktDtL23nmw+s5Uvvn8niyf52zfTnYEsHf1xVw9Ob6uh2jrPnj+Wqk6bqHkwprrWji4dX7+I3z73DptomKoflc9GiCRw3rTxhEzKi0e0c33xgLe2dXTz55VPS5eL65PuDTkIKryTT2tHFST94ivKSPK47d27Sr/h+sKWDx9bu4W8bajnU0cXSKSO5ZPEEzpo/Ju4XU4t3Ntc2ccfL1dy/qoamtgBVZYWcv3Acx08blfQ3MF27s4HvPbqBr589m8+cPM3vcuIhuf/Ak4TCK8n879Nb+MFjm7j+vHnMGpM6K2i3dnTx5Ma9PL5+D3ub2inIzeL9c8fwwSPHceKMCs1QTELb9h1ixbo9PLZ2D6/vqCcn21g6eSRnzKlk9pjSpP+PU6jvP7aRt+uaefYrp1JW7P943BClzh+8jxReSaS+pYMTf/AUM0eX8uWzZvldTkycc7y1t5nn3trHy+/sp6ktQFFeNidMH8XJMys4eWYFE0ZqfMwP7YEu3tzRwPNb9rFi3R427WkCYMqoYo6bWs7JMysYVujfrNah2HGghWv/uJrLj5/CdefN9bucoVJ4RUDhlUT+8y8buPmZrfzXh49gYhp8wQe6ulld08DrO+pZXVPP3qZ2ACaVF7F40kiOnjSCRZPKmDG6NOm7plJRQ0sna3c18Nr2g7y0dT+vbT9Ie6AbA2aPLWXxpJEsmVxGRWl63GLk189t5dnNdTz5pVNSfQKR/jFEQOGVJHY3tHLKD59m6eSRXH1q+q2Y7Zxjd0Mbb9bUs25XI1v2NtPQ2glAcX42c8YOY86YYcweW8rsMcOYUVni+VJD6aKr27HjQAtb9jbz1t5m1u5qYE1NA9UHWoCeb8JJ5UXMGTuMueOGMXvMsLQcjzxwqIMv3vMG5ywYy42XHOl3OUOh8IqAwitJfP2Pq7l3ZQ0/vmhhJtxsD+cce5va2VzbxFt7m6ne30L1gRZaO7ve3aasKJfJ5cVMHlXMpPIiJpUXMXFkMWOHF1BRmp+ui7KG1dweoOZgCzUHWtlxsIWag63UHGxh+/4Wtu47REeg+91tK0rzmTKqmCmjipk6qpipFSVpGVbh3PlKNQ+/uYtH/+XEpJvWHwWFVwQUXkng7bpmzvzJs5wxt5LLj5/sdzm+cc6xr7md7ftb2NXQRm1jG3sb26htbGdfc/t7/nINKC/Jo3JYQfCRz6iSfEYU5TGiMJcRRbk9z4tyGVGYS3F+Dvk5WUkxCaG729HUHqCxtZPGtk4aWwM0tnVS39LBvuYO6praqWtuZ19TO3VNPb/3xrb3Lo6cn5NFRWk+FSX5jC8rZNyIQqpG9PxanCFBFU5ze4B/vft1lk4eyS2pu2yU/z+kKSBzf8qTyI9WbCI3x7gwfS6yjImZUVFaEHYMpiPQTV1zO7WNbRxs6eDgoZ4v+4MtHbyz7xCrth+ksa2T7gH++5JlUJiXTVFuTs+v7z5yKMjNJjfbyMoycrKM7Hd/zXr3dZYZ3c69++jq7gncntc9odTR1U1bZzdtnV3vPlo7u2jv7KYt0PO8pb1rwP9lFeVlM7wwl+GFuVSU5jN9dAnlxXnBP5t8KkrzGVaQkxRBnGxK8nM4f+F47nylmpe37ueYqVrGLF2p5eWz17Yf4MO/eJEPH13F8kXe3qsr3XU7R0tHF4faAzS3B2hqC7z7vDdA2gNdtAe6ae/s+bUt0E1H8L3ubkdXMIS6naPLuZ73unufQ1YWZFlPkJn1/Bc5K8vIoid8c7KMvJwscrOz3v01PyeLvN7XOVkU5WVTnJfzj1/zewK0JD+b4YV5uqxgiNoDXXzxnjeZXF7E/Z87PhVDPuUK9oNaXj5yzvHdP2+grCiXc49IjvULU1mWGSX5OZTk51DpdzHim/ycbD509Hj+77l3+Ov6Wt1QNU3pv3g+enRNz8WhFy2akC7L2ogkhVNmjmbc8AJ+sGITXQP1JUvKUnj5pD3Qxfcf28jEkYWcPLPC73JE0kp2lnHx4gls2dvM/a/V+F2OeEDh5ZPbX6qm+kALH106KZ1u5SCSNJZOGcmM0SX8cMUmmtsDg+8gKUXh5YOGlk7++29vccT44SysGu53OSJpycz4xLGTqGtu55dPv+13ORJnCi8f/Pypt2hs7eTSYyam4kwokZQxo7KUE6aVc/OzW6k52OJ3ORJHCq8E21rXzK0vbOOkmRW6C7FIAnx06UTM4HuPbPC7FIkjhVcCueCN8/Kys/jIkgl+lyOSEcpL8vngkeP5y9o9PLVxr9/lSJwovBLogTd28sLb+7lkyQRGFKX8PYdEUsa5R4xlfFkh//7AWlo7ugbfQZKewitB6ls6+M6fNzB9dAmnz9EltCKJlJOdxZUnTKGmvpWf/m2z3+VIHCi8EsA5xzceWEtDaydXvm8KWZqkIZJwc8YO49RZFfz62a28tv2g3+XIECm8EuDBN3bxyOrdLD+6ismapCHim48fO4lRJfn8291vcEjXfqU0hZfHdta38u8PrmVmZQnnLxzndzkiGa0oL4fPnTyNHQda+O4j6/0uR4ZA4eWhts4uPnPbSgJdjqtPma6VNESSwOyxwzhv4TjufGUH967c4Xc5EiOFl0ecc/y/P61h7c5Grj51GpUZcHdkkVRx8eIJzB8/jG/8aS1v7Kj3uxyJgcLLIzc/u5U/rtrJ8kVVLJ400u9yRCREdpbxhdNmMKIol8/ctpKd9a1+lyRRUnh54A8vb+c//7KRY6eOzPi7I4skq9KCXL74/pk0twX42K9fYm9Tm98lSRQUXnF232s1fPNPazlq4gg+f8p0TYsXSWKTyov56rLZ7Gls42O/fpl9ze1+lyQRMufS6kZtvv1mnHP8/Mkt/Pivm5k/fhhfOXO2bucukiLW7WrgBys2Mbo0n1suX8KMylI/y9H/eCOg8IqD5vYA3/zTGh54YxcnTh/Fp0+aSm62gksklbxd18yPHu+58/KNFx/JGXN9WwlH4RUBhdcQvfD2Pr5672p2NbTy4aOruPCo8brNiUiK2tfczo8f38S2/S0sX1TFdefNZVhBbqLL0BdIBBReMdpc28SPH9/EinW1jB1ewGdPnsZMf7saRCQOAl3d3L9qJw+9uZPhhbl8/tTpfPzYSRTkZieqBIVXBBReUegIdPPkxr3c/Wo1T2+qoyA3m3MWjOW8hWPJz0nYD7aIJMA7+w5x5yvVrNnZwKiSPJYvmsDFi6uYWlHi9akVXhFQeA3gUHuADbsbWbOzgRfe3s/ft+yjpaOLkcV5nDyzgrPnj6E08V0KIpJA63c18OjaPbxefZBuB1NGFXPKrAqOnljGgvHDmTCyiOz4rp6j8IpAxofXC1v28czmOhrbAjS1ddLYFqChpYOd9a3sa+54d7uK0nwWVg3n6IllHFE1It4/rCKS5A4c6uDld/bz5o561u9upLOr5+smN9uoKitidGk+pQW5DCvMYVhBLqUFOVx9ynQK86LuldGXSwQyPrxuemoLP3viLUoKcijOz6EkP5uivBxGl+YzdkQBU8qLmTmmlFEl+V7UKyIpqLOrm237DrG5tpld9a3samilvqWTlo4umtsDHGoP0NweYMMNy2IZK1N4RSCtwsvMHgNG+V1HiFHAPr+L6Idqi41qi41qi9w+59wyv4tIdmkVXsnGzFY65xb7XUc4qi02qi02qk3iTVfSiohIylF4iYhIylF4eetmvwsYgGqLjWqLjWqTuNKYl4iIpBy1vEREJOUovEREJOUovEREJOUovEREJOWkVXgtW7bM0bNElB566KFHqj4ilobfeRFLq/Daty+ZVngREfFWJn/npVV4iYhIZlB4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYhIylF4iYikqJaOLr9L8E2O3wUkg30tAb9LEJE0NKrI26/YHQdaPD1+MlPLS0QkRXW5qO4iklYUXiIiKaq7W+ElIiIpxgHtgcwc91J4iYiksKa2zByzV3iJiKSw2sY2v0vwhcJLRCSFZeqMQ4WXiEgK27K32e8SfKHwEhFJUblZxrpdjX6X4QuFl4hIisrLyWZV9UFcBl7vpfASEUlRhXnZ1Da2Z2TXocJLRCRFFeZmA/Dkxr0+V5J4Ci8RkRSVm21Mryjm/lU1Gdd1qPASEUlhJ80czebaZt7YUe93KQml8BIRSWEnTC+nJD+Hnz+1xe9SEkrhJSKSworycjhnwVj+tmFvRrW+FF4iIinurHmVjCjM5Rt/WkNnV7ff5SSEbkYpIkljTW17TPstqMyPcyWppSgvhytOmMKNT2zm5me38vlTp/tdkucUXiLim1jDarDjZGKYLZ0ykmOmjOTGv27m6IllHDet3O+SPKVuQxFJuDW17XELLj+On6yuOmkqlcML+NwfXkv7BXs9Dy8zW2Zmm8xsi5ldG+bzk8xslZkFzGx5n88mmtnjZrbBzNab2WSv6xUR7yQ6VDItxIrycvjy+2cR6HJ84jcvs6chfW+X4ml4mVk2cBNwNjAX+KiZze2zWTVwOXBHmEP8Hvihc24OsBTIvMvIRdKA3yGSSQE2ZngBXzlrFrWN7Vxy84vsbmj1uyRPeD3mtRTY4pzbCmBmdwEXAOt7N3DObQt+9p4pMsGQy3HO/TW4XeYt3iWS4mIJjbW1kbcW5lcWRF1LJoyHzaws5dqzZ/Nff9nIRb98kVuvWML00aV+lxVXXncbjgd2hLyuCb4XiZlAvZn90cxeN7MfBlty72FmV5nZSjNbWVdXF4eSRSQeIg2utbVt73lEI5b9Ur0VFvqdd/DA/n63m1lZyv87Zw7NbQE+eNMLPLM5vb4fvQ4vC/NepAtw5QAnAl8GlgBT6elefO/BnLvZObfYObe4oqIi1jpFJE4i7SKMJawiOV4kx0zlAAv9zisbOfCMwumjS/jOB+dTXpLHFbe8ws3Pvk13d3qsgeh1eNUAE0JeVwG7otj3defcVudcAHgAODrO9YlIHPkRWv2dYzCpHGDRGFWSz/XnzWPx5JH8x6MbufyWV6hrSv3fu9djXq8CM8xsCrAT+AhwaRT7lplZhXOuDjgNWOlNmSIyVIOFQSSBsm5vdF+q80b3P37Ve76BxsXW1LZnxBhYQW42/3r6DP62cS+3vbidZT99lh8sP4LT51T6XVrMPG15BVtM1wArgA3APc65dWZ2g5mdD2BmS8ysBrgI+JWZrQvu20VPl+HfzGwNPV2Qv/ayXhGJzVCCa93e9ncf0Ypk38FCM1NaYGbGGXMq+d6F8ynJz+HK363kX+58nf3Nqfn7t3S6B8zixYvdypXRN872tQQ8qEYkM8QaXLGEVST6a40N1ALzqvU1qiimzq1wcwXCmrPgSPfbB/4W9QkCXd088MYuHnxjJyUFOVx37lwuPGo8ZhGf2isRF6DloUQkZgMFVyyhtXZvFNPkR4cPo3V728MG2Nratn4DLFO6D3vlZGexfFEVx0wZya+f28oX73mTu17ZwbcvmMecscP8Li8iWh5KRGISr+Bau7ft3Uc0Btqvv65EryeKpJoJI4u4/rx5XPm+KWzY08gH/vs5rntwLfUtHX6XNiiFl4hELdrg6jdMogysfs85QIhFUh9kzthXX1lZPWNhP7noSE6fU8ntL23n5B8+zS1/f4eOQPLeXkXdhiISlViC67Dt+gmt3bt3R1zH2LFjwx63b3dif92I4WRa92GokoIcPnnCFE6fPZrbXtrOtx9ez60vbOPaZbNZNn9MMoyHvYdaXiISsaEGV7gW0u7du999RKO/fSJpzan7sH+Tyov5xjlz+OpZs+jqdnzuD6tY/osXWVV90O/S3kMtLxEZskiDq6/+Aqutem3Y9wsmzu/3GKEtsb4tsHCtr/4mcGRy66uXmXHUxDKOqBrB05v3ct/KGj70vy9wzoIxfG3ZbCaVF/tdosJLRCLTX6srluAKF1r9BVZ/2/QNst27d0cdYDKw7Czj9NmVnDBtFA+v3sUjq3fz+LpaLjt+Ml84bQbDi3J9q03dhiIyKC+Dq616bUTB1Ve4/foeO14TQjJdQW42Fy2awE8uPpITZ4zit8+/w8k/eorbXtxGoMufSR1qeYnIgKKZhTdQcIULrXDad6wZ8Bz5ExYcdpzQVljfFljf+kJbXwNd+yWHG1mcx1UnTePMeWO47cXt/PuD6/jdi9u57ty5nDQzsQujq+UlIv2KZoLGUIOrfceaQYOrv+0GaoHF0vrK1GnzkZpcXsw3PzCHL54xk6a2Tv7pt6/wyVtf5e26xN12UeElIlGLZ3BFGlp9DRZg/fFqWapMY2YsmTKSHy5fyKVLJ/Li2/s568Zn+c6f19PQ0un5+dVtKCJhRTPO9Z7PB2jphAZMf4HVVrM+7PsABVVz3/O6fcea93QjhnYhhnYfhrv+69161XU4JLnZWZy3cBwnzhjFva/V8Nvn3+GB13dywwXzOWeBd9eHqeUlIocZyjhXqNBW12DB1VazfsDg6m+bWFptEn8jivL49IlT+d6FCxhemMvn71jFZ257jb2N3kyaUXiJyHt4Mc41UHBFElp9Rbu9JM6UUcXccMF8Prp0Ik9vquOMnzzDX9ZEdwF6JBReIhIRr4IrHkKPG8u0e4mv7Czj/IXj+K8PLWB0aT6f+8Mqvv3wuriulagxLxF5VzzGufoLrr7CBddAXYCHTZGvWX/YGFhfA02bF++NHVHIt86bxx9eqeaWv29j1faD/N9lS6goHfrF4mp5iQgQv3Gu/ryndRRlcEXyeTQ04zBxcrKzuOy4yfzrGTPYuKeJi3/1IjvrW4d8XIWXiCR0nCuW4IoHrbbhr2OmlPP/zpnD3sY2LvrFC2zbd2hIx1N4iUi/Yp0WH8mU+Eg/H2jbaMbMQqfKa41Df8ysLOUbH5hLU3uAK3/3KofaAzEfS+ElkuG8mBbfH01zlymjivnCaTN4Z98hvv7H1TjnYjqOwkskg/nZXajgylzzxw/nokUTeOjN3Ty+vjamYyi8RDJUtDeWfM/nSTJ+NNhsQ800TF7nLRxH5bB8/vepLTG1vhReIhloqHdEDhXNKhpD1Xe6vKSu7CzjAwvG8WZNQ0x3aVZ4iciAIrkj8mAS2WUY7m7LA9G6hv45ZupIAFZtr496X4WXSIYZSndhX362ukK7DAdrkfW3KK/4a1hBLiOL89iwuzHqfRVeIhlkqN2FA93qJNn0N94VyTT5BZWaSp8oRXnZtHR0Rb2fwkskQ8QzuPqKdhmoaEXa6oq2y1D819QWYGRJXtT7KbxEMkC87ww8UKsrki7DaCZeDBRc/QltdQ10cbLGu/xV39JBQ2sn40cURr2vFuYVyXBetrqGIlzA9Q0uL1pd6jJMnFXVPRM1Tp01Oup9FV4iaS6e0+IhfmNdvcET2lIbqEUWaXCp1ZU6nt9SR9WIQuaMLY16X4WXSBqLx8xCry9IjqQLMZbgioVaXYmzcXcjG3Y3cd25czGzqPf3fMzLzJaZ2SYz22Jm14b5/CQzW2VmATNbHubzYWa208x+7nWtIukklnGuwboL+7a6+nYZhhvvimSMaiADBddA1OpKXs457nltB+XFeXx06cSYjuFpeJlZNnATcDYwF/iomfX9Sa4GLgfu6Ocw3wGe8apGkXQ0WHDF0l2YaAVVcwcNrki6CyX5PL9lHxt2N/Fv759JYV52TMfwuttwKbDFObcVwMzuAi4A3p0765zbFvzssPtDm9kioBJ4DFjsca0iaSFewTVYqysaBVVzI54y319LbaDJGQMFV6StLnUZJkZDaye3v7ydoyaM4NIYW13gfXiNB3aEvK4BjolkRzPLAn4MfAI4fYDtrgKuApg4MfY/CJF0EEtwhd0ugnGuaGcZhoZSaJAN1q04UGsLMi+4Qr/zKsdV+VxNdLqd45fPvE1bRzf/+eEFZGVFP9bVy+vwCldZpMsHXw086pzbMdBgnnPuZuBmgMWLF8d2YxiRDNBfcEXSXRjv1TQiGQcLO1V+gODqK11vOBn6nTdnwZEp9Z336JrdvLGjnu9cMI/ZY4YN6Vheh1cNMCHkdRWwK8J9jwNONLOrgRIgz8yanXOHTfoQkfhM0IChtbryJyyIy7qGsQTXYHdKTodWVyp7u66Zu1/dwZlzK/n4sZOGfDyvw+tVYIaZTQF2Ah8BLo1kR+fcx3qfm9nlwGIFl0h4Xo1zQeLWMOxvFmE0odUfzS70V0tHgP958i1Gl+bzw+ULY5oa35ensw2dcwHgGmAFsAG4xzm3zsxuMLPzAcxsiZnVABcBvzKzdV7WJJJu4jXOFS/R3nMrf8KCuAZXNNPi1erynnOO/3v+HfY1dfDfHz2K4UW5cTmu5xcpO+ceBR7t8951Ic9fpac7caBj3Arc6kF5Iikt1uDyutUVbvWM0PcHE26pp8GCK5quQlBwJcrTm+t48e39fOWsWSyePDJux9UKGyIpKlmDK1S0rbBIQgsUXKli58FWbn1hG8dPK+ezJ0+L67EVXiIpKJ7BFS0vFuLtb1HdWLoJQcGVDDoC3fz3k29Rkp/DTy85kuwhTIsPR+ElkmLiHVx+TtKINLRAwZVq7nilmuoDLdx6xRJGD4v/hBmFl0gKifeHzC1LAAAgAElEQVR9ubxedDecgW5d0t91Wwqu1LJuVwMr1u3hihMmc0oMtzuJhMJLJI0MdZwLBm91FUycH1PXoZehBQquZNHW2cXNz25lcnkRXz1rtmfnUXiJpAg/x7liFckNIiPtIgQFVyq445Vq6praueezx8W86G4kFF4iKSAR41wQ+VhXf62vaO5m7HVrCxRcibZuVwN/XV/LJ0+YwpI4TosPR+ElkuSSLbh6RRNUoaIJLVBwpYpAVze/ef4dJo4s4itnzfL8fAovkSQW79Uz/Jig0WugRXQVXKnvsXV72N3Qxi2XL/G0u7CXwkskSQ0luKId5/Jyanw8QwsUXMmoqa2TP72+k1NnVXDqbG9mF/al8BJJQkOZEh9td6GXEtnaAgWXXx56cxetHV18/Zw5CTunwkskyUQSXPEa5wJvWl1qbWWO+pYOHl9Xy4VHjWdmZWnCzqvwEkkiiQ6ueBsotECtrXT0l7V7CHR388+nz0joeRVeIknCi+AaTLxaXfEOLVBwpYKWjgBPbKhl2fwxTBlVnNBze3o/LxGJzFCCa8B9EtDqUnBlrhff3k9LRxefOnFqws+tlpdICohlZqHXwRVraIG6CdPFU5v2MmtMKUdNGJHwcyu8RHzmxZT4SIIr1i7DwUIL1NrKBNv3H+LtukN867y5mMX3dieRUHiJ+CiR13IN1VBCCxRc6ebJjXvJy87iwqPG+3J+hZeIT7wKLi+6C/0MLoVW8unqdry4dT9nzqtkRFGeLzUovER84MVFyBB5cEXaZRhJaIG6CTPNptommtoCnLMgsp8PLyi8RBLMqynx8WxxDTW0QMGVzl7bfpDcbOOkmRW+1aDwEkmgZJkSP3bs2MNaX5EGVi8FV2ZyzrFq+wGOnzaKknz/IkThJZIgQw2ueE/QiDasQim4Mteu+jb2NLbz+dMqfa1D4SWSAF4GVyKXf1JoybpdDQCcPMO/LkPQChsinlNwKbjSycY9TYwZVsCEkYW+1qHwEvGQgkvBlU6cc2zc08gxU0f6cmFyKIWXiEcUXAqudFPb2M7Blk6WThnpdyka8xLxQrJNzojFQKEFCq5MtLm2CYAlkxVeImnH6+BKRKsr1tYWKLjS2Tv7D1GYm820ihK/S1F4icRTJgeXQiv9bdt3iDljS8nO8ne8CxIw5mVmy8xsk5ltMbNrw3x+kpmtMrOAmS0Pef9IM3vRzNaZ2Wozu8TrWkWGwqsLkN/dV8ElPup2ju37W5g3brjfpQAet7zMLBu4CXg/UAO8amYPOefWh2xWDVwOfLnP7i3APznn3jKzccBrZrbCOVfvZc0iXhksuPycoKHxLRlMbWMbrZ1dzBs3zO9SAO+7DZcCW5xzWwHM7C7gAuDd8HLObQt+1h26o3Nuc8jzXWa2F6gAFF6SdIay0C4ouCT57TzYCsCsMaU+V9LD627D8cCOkNc1wfeiYmZLgTzg7TCfXWVmK81sZV1dXcyFisQqlWcWKrhST+h33sED+xN23l31PeE1bbT/kzXA+/AKN6rnojqA2VjgNuAK51x338+dczc75xY75xZXVPi7XIlknlSeoDHY+JaCKzmFfueVjSxP2Hl3NbRRUZrPsILchJ1zIF53G9YAE0JeVwG7It3ZzIYBjwDfdM69FOfaRIYkVYNrKK0tUHBlql31rUxPginyvbxueb0KzDCzKWaWB3wEeCiSHYPb/wn4vXPuXg9rFImagqt/Cq70tKehjSkVxX6X8S5Pw8s5FwCuAVYAG4B7nHPrzOwGMzsfwMyWmFkNcBHwKzNbF9z9YuAk4HIzeyP4ONLLekUikYnBNb+yQMGVwdo6u2hqD1BV5u9ivKE8v0jZOfco8Gif964Lef4qPd2Jffe7Hbjd6/pEopGpwRUJBVf6qmvq+bkdPyKDwkskXaTqrELNKJSh2tfc87ObUS0vkXSQiOCKd6trsNACBZdEpje8xo8o8rmSf9AtUUQGoeAKT8GVOfY1d5CTZYwuTZ6/c4WXyAC8Xq8QFFyS/Oqa2xk7vICsJFiQt5e6DUX6EY/gSvQEDU2FFy/Ut3QwZnhkE3cSRS0vkTAUXOEpuDJTY2uAiiTqMgSFl8hhEhFc8abgEi81tHYyqiS5/v7VbSgSIlHBFa9W11DHt0DBJQMLdHXT3B6gvDi5fgbU8hIJUnCFp+DKbI1tAQBGleb5XMl7KbxEUHD1R8ElDa2dAEnXbajwkoyn4ApPwSXwj/AqL06ullfEY15mVgR8CZjonPu0mc0AZjnn/uxZdSIey7Tg0jqFEq1D7T3dhiOKkuM+Xr2iaXndArQDxwVf1wDfjXtFIgmi4ApPwSWhWjq6AJLmJpS9ogmvac65HwCdAM65VsLfKVkk6Sm4wlNwSV8tHT0tr9IkC69opsp3mFkh4ADMbBo9LTGRlBJJcA0mUcEVSWiBgku809LRRU62UZCbXFMkogmvbwGPARPM7A/ACcDlXhQl4pVIgysZbm2i4JJk0NIRoDQ/B7Pk6miLOLycc381s1XAsfR0F/6Lc26fZ5WJxFkig2uorS4FlySLlo4uhhUmV5chRDHmZWYXAgHn3CPBGYYBM/ugd6WJxI+CKzwFlwymtaOLkvzkW4wpmk7MbznnGnpfOOfq6elKFElq6RZc80bnK7gkYTq6uinMzfa7jMNEE6fhgi754lgkRDoG14DH0MXHEmedXd2UFSXXBcoQXctrpZn9xMymmdlUM7sReM2rwkSGSsF1OAWXRKsj0E1+TnLNNITowuufgQ7gbuBeoA34vBdFiQyVgutwCi6JRWeXoyCVuw2dc4eAaz2sRSQuFFyHU3BJrDq6uslPsmu8IILwMrOfOuf+1cweJniBcijn3PmeVCYSAwXX4RRcMhQdge6UbXndFvz1R14WIjJUCq7DKbhkqDoC3RTkpGB4OedeM7Ns4NPOuY8noCaRqMUjuCI1lOCKxzVcoOCSxOlM0m7DiCpyznUBFWaWfPMlJePFK7i8Xq9QwSWpxjlHoNuRl5184RXNdVrbgL+b2UPAod43nXM/iXdRIpFScB1OwSXx4oKzHLKzkmtdQ4guvHYFH1lAqTfliEROwXU4BZfEU3cwvZIwu6KaKv9tADMb1vPSNXlWlcggFFyHU3BJvHUHW15ZSZhe0SzMu9jM1gCrgTVm9qaZLfKuNJHwFFyHU3CJFxy9La8UDi/gt8DVzrnJzrnJ9KyucctgO5nZMjPbZGZbzOywi5zN7CQzW2VmATNb3uezy8zsreDjsihqlTSl4Dqcgku80jvmlYQNr6jCq8k591zvC+fc88CAXYfBKfY3AWcDc4GPmtncPptV03NTyzv67DuSnlXrjwGWAt8ys7Io6pU0o+A6nIJLvPSPMa/kS69oJmy8Yma/Au6kZ6WNS4CnzexoAOfcqjD7LAW2OOe2ApjZXcAFwPreDZxz24KfdffZ9yzgr865A8HP/wosC55fMoyC63AKLvHau2NeKR5eRwZ/7XsPr+PpCbPTwuwzHtgR8rqGnpZUJMLtO77vRmZ2FXAVwMSJEyM8tKQSBdfhFFyZK/Q7r3Jclafncmky2/DUgT43s8ucc7/r+3a4Q0V4yoj2dc7dDNwMsHjx4kiPLSlCwXU4BVdmC/3Om7PgyIR85yXjF2s8L5v+lzDv1QATQl5X0XOtWCSGsq+kAQXX4RRckki93YVd3ckXX/EMr3AtpVeBGWY2Jbi01EeAhyI83grgTDMrC07UODP4nmQABdfhFFySaL0ra/RO3Egm8QyvcF16AeAaekJnA3CPc26dmd1gZucDmNkSM6sBLgJ+ZWbrgvseAL5DTwC+CtzQO3lD0puC63AKLvFDb8srkIQtr2gmbAwm7JCec+5R4NE+710X8vxVeroEw+37W3quL5MMoeA6nIJL/NLb8urqSr7wimaFjSmDvPf3uFQkGUvBdTgFl/ipd5ZhMra8ouk2vD/Me/f1PnHOXTP0ciRTKbgOp+ASv5kZWZacEzYG7TY0s9nAPGC4mX0o5KNhQGT/kkUGkCp3QFZwSSbKMkvKllckY16zgHOBEcB5Ie83AZ/2oijJHAquwym4JJlkZ1lSzjYcNLyccw8CD5rZcc65FxNQk2SIVAmuSCm4JB3lZBvtnV1+l3GYaMa8dpjZn8xsr5nVmtn9Zubt2iSStlIpuCJpdSm4JF0V5GTTmuLhdQs9FxiPo2eNwYeJ4JYoIn0puA6n4JJklZeTRWtn33XT/RdNeI12zt3inAsEH7cCFR7VJWlKwXU4BZcks/ycLFo7An6XcZhowqvOzD5uZtnBx8eB/V4VJulHwXU4BZcku/w06Db8JHAxsCf4WB58T2RQCq7DKbgkFeTlZNHSnnzhFc0tUaqB8z2sRdJUJMEVj4uPQcElEm/5OVk0tadwt6GZTTWzh82sLjjj8EEzm+plcZL6EhVca/e2KbhEPNAz5pV8La9oug3vAO4BxtIz4/Be4E4vipL0kMjgGioFl0h4eTnZKR9e5py7LWS24e0k5w02JQkouA6n4JJUVJiXTXMqdxsCT5nZtWY22cwmmdlXgUfMbKSZjfSqQEk96RZcgx5DwSVprCQ/h9bOLtoDydX6iuZ+XpcEf/0M/2hxGT0zDh2g8S9Jy+AaqNUVSXCJpLKS/GwAGlo7GV2a7XM1/xBNy+trwELn3BR6VtZ4E/iwc26Kc07BJSkVXJGKR3Cp1SWprDi/p43T0NLpcyXvFU14fdM512hm7wPeD9wK/MKTqiTlpFpwDXWcS8ElmaIkGF71rakbXr0dnh8AfhlcbT4v/iVJqlFwhafgknSQrC2vaMa8dprZr4AzgO+bWT7RhZ+koUQEVzy7CRVcItHpbXkdbOnwuZL3iiZ8LgZWAMucc/XASOArnlQlKUHBFZ6CS9LJ8MJcAPY1J1d4RbM8VAvwx5DXu4HdXhQlyW+owZXoiRkKLpHYFORmU5ibTW1j4iZKRULdfhI1BVd4Ci5JV2VFudQ1Rba+aKIovCQqmRZckVJwSTobXpRLbVNytbyimbAhGSxRtzRJ5DVcoGWfRCIxoiiPnQdb/S7jPRReMqhEBJcXoTVYq0vBJRKZssJc3qiuxzmHmfldDqBuQxmEgqt/Ci7JFGXFebR2dtHYmjwL9KrlJf1KtanwvRRcIvE1urTn30T1gRYWFA33uZoeanlJWAqu/im4JNNUDuv5ma8+0OJzJf+g8JLDKLj6p+CSTBTa8koW6jaU9/B6KnyiZxNGSsEl0r/CvGyGF+ZSfeCQ36W8y/OWl5ktM7NNZrbFzK4N83m+md0d/PxlM5scfD/XzH5nZmvMbIOZfd3rWjNdKgfXUFpdCi6RwY0uzU+qlpen4WVm2cBNwNnAXOCjZja3z2ZXAgedc9OBG4HvB9+/CMh3zi0AFgGf6Q02iT8FV/8UXCI94bVtX4aEF7AU2OKc2+qc6wDuAi7os80FwO+Cz+8DTreeCwkcUGxmOUAh0AE0elxvRlJw9U/BJdJjzPBCdtW30tbZNfjGCeB1eI0HdoS8rgm+F3Yb51wAaADK6QmyQ/Qs/lsN/Mg5d6DvCczsKjNbaWYr6+rq4v87SHMKrv4puCQZhX7nHTywP2HnnTCyEAe8VducsHMOxOvwCncptotwm6X03ABzHDAF+JKZTT1sQ+duds4tds4trqioGGq9GcXL4Fq7t03BJeKB0O+8spHlCTvvxLIiADbuSY4OMK9nG9YAE0JeVwG7+tmmJthFOBw4AFwKPOac6wT2mtnfgcXAVo9rTnteT4X3e0ahgksk/iqHFZCXncWmPU1+lwJ43/J6FZhhZlPMLA/4CPBQn20eAi4LPl8OPOmcc/R0FZ5mPYqBY4GNHteb9uLR2vI7uAZqdSm4RLyRlWVUlRWyIUlaXp6GV3AM6xp67sC8AbjHObfOzG4ws/ODm/0GKDezLcAXgd7p9DcBJcBaekLwFufcai/rTXepPL7VS8El4p8po4pZXdNAd3ff0Z/E8/wiZefco8Cjfd67LuR5Gz3T4vvu1xzufYmN1+NbiaDgEvHX9NEl/G3jXrbua2b66FJfa9HyUBkg3YNrqBRcIpGZProEgNer632uROGV9tIhuAYzlFaXgkskcuNGFFKUl80bOxRe4qF0CS4vuwtFJHJZZswYXcKLWxN3fVl/tDBvGkqX0AKNc4kkmyOqRnDbS9vZWd/K+BGFvtWhlleaUXApuES8tGB8z80on3/L3xWNFF5pJJmCa/fu3e8+YqHgEklOVWWFlBXl8txb+3ytQ92GacKr4IomtPoLqt27dzN27NiIjzMQBZeIv8yMBeOH89xb++gIdJOX408bSOGV4pKhtRVr66o//bW6FFwiyeGYKeU8+9Y+nt9Sx2mzK32pQd2GKczv4BpKt2B/YrmeS8ElklhHVA2nJD+Hh97ou1Rt4qjllaL87CaMd2D1imWcS8Elkng52VksmTySx9fX0trRRWFedsJrUMsrBQ0luAZaWFfBJSKROn5aOS0dXTyxodaX86vllUL87CYcSmgNZbLGQONcg1FwiXhn7thhjC7N5/cvbuO8heMSfn61vFKEl92EAwWXF+NafXkxQUPBJeKtrCzjzLljeHXbQdbUNCT+/Ak/o0TNj27CeIXWYK0uBZdI6jp1dgWFudn85vnE3yNY4ZXkBguutbVtAwZX2H0iaG0lgoJLJLUV5eVw8qwK/rx6N7WNiV2BR+GVpNbUtkcUXP3xs7XVK14XJvfSQrsiyWfZvDF0O8evnkls60sTNpLQULsJw26fBC2tUNG2ujSzUCQ5VQ4r4KQZFdz20jauPHFKwhbrVcsryXjVTRiOl5MxBmp1KbhE0suHF1XhHPz48U0JO6fCK4nE2k3Y36SMgca2/GhtgYJLJB2NKsnnnAVj+eOqnbxefTAh51R4JYmhBNdh2w4SWl4HV7RjXbqWSyT1ffDI8ZQV5XLdg+sIdHV7fj6NefksnqEFA3cRRqqteu17XhdMnB/xvgMJ1+rSzEKR9FCYl80njp3Efz+5hV8/9w6fO2Wap+dTePko3q2tcCIJrb5h1d/nkYRYf62uaBfcVXCJpJ5jp5bz0tYD/OSvmzhjzmhmVJZ6di51G/okluAaaGyrr8G6B9uq1777iJdogyvWcS4Fl0hyMjOuOGEyBbnZfPneNz3tPlR4+SDW4Dpsu37GtiIJLb8puETS04iiPK44fjJv1jRw83PeXfulbsMEGyi4htpN2F9oJSKsoml1KbhE0tuxU8t5+Z0D/OTxzZwwbRQLJ4yI+znU8kqgeARXuNZWf12EfreyFFwimcnM+NT7pjKiKJfP37GKxrbOuJ9D4ZUEIh3firS1lejQCtfqimaChpZ9Ekk/JQU5/PNpM9hV38rX7luNcy6ux1d4JUh/ra5oxrdChWttRRNa7TvW0L5jTUTbxkus13Op1SWSmmZWlnLJkon8Ze0ebn+5Oq7H1phXAgwluCJpbQ0UWIMFVOjn+RMWDLhtOJG2utRdKJKZzj1iLBt2N/Kdh9ezaGIZc8cNi8tx1fLyWDyDq7/WVjixtKwG2j7SC5UVXCISKsuMz508jeL8bK65cxWtHV3xOW5cjjIAM1tmZpvMbIuZXRvm83wzuzv4+ctmNjnksyPM7EUzW2dma8wspQZHIlkdvlckwRUqXBdhb2AlqjswkmWgFFwiMqwwl6tPmc47dYe44c/r4nJMT8PLzLKBm4CzgbnAR81sbp/NrgQOOuemAzcC3w/umwPcDnzWOTcPOAWI/5QVH/RtdcUSXKH8GL8ayiQNBZdI5pk/fjjnLRzHna/s4NE1Q19f1euW11Jgi3Nuq3OuA7gLuKDPNhcAvws+vw843cwMOBNY7Zx7E8A5t985F5/2ZgJE2l0YTXD119oaTFvN+kG3GUgkXYaRdhcquEQy10WLq5heUcy1969mZ33rkI7ldXiNB3aEvK4Jvhd2G+dcAGgAyoGZgDOzFWa2ysy+Gu4EZnaVma00s5V1dXVx/w0k0mDBFaq/1lZbzfrDHn3fH6qhdBcORMElMrjQ77yDB/b7XU5UcrKyuOa0GXR0dfPvD6wd0vR5r8PLwrzXt9r+tskB3gd8LPjrhWZ2+mEbOnezc26xc25xRUXFUOuNi1hbXaEGC66+ogmmeARYqHh0Fyq4RCIT+p1XNrLc73KiVjmsgOVHT+DJjXtZsa425uN4HV41wISQ11XArv62CY5zDQcOBN9/xjm3zznXAjwKHO1xvZ6JprswmuCKtTUV6T59uwz7trri1V0oIplj2fwxTBpZxHcfWR/z4r1eh9erwAwzm2JmecBHgIf6bPMQcFnw+XLgSdfTllwBHGFmRcFQOxmIb5PBA9HMMOw1lOBKNhrnEpHBZGcZyxdXUXOwlYfe7NueiYyn4RUcw7qGniDaANzjnFtnZjeY2fnBzX4DlJvZFuCLwLXBfQ8CP6EnAN8AVjnnHvGyXq8M1OqKJbjiNXYVrcFaXRrnEpFILZpYxqTyIn71TGwrz3u+woZz7lF6uvxC37su5HkbcFE/+95Oz3T5lBBLqysSfYNrsG36inTljL7bDTTLUONcIjIUZsbJMyv4/Yvb2bbvEJNHFUe1v1bY8NhQW12DBVck13jF4xqwwWYYRttdqOASkUUTywB4YkP0EzcUXkkm2uDySjStLgWXiMRi9LACSvNz2L6/Jep9FV5xEkmXYSStrkglckWNSK7rCqWZhSISqdLCHA4c6oh6P4WXh/q7wWQkBmp1eRFcoeNdQ211DUStLhEJFehyWLirfQeh8EoiibyBZEFV3yUmwwttdam7UETiqaUjwN6mduaMjf42KQovnw3WZehnqyue3YUKLhHp640d9QAcUTU86n0VXnEwlPGucBK9QnwkhtJdqOASkb6cczz85i6mjirmhGmjot5f4ZUkvOwyPOz6rZAuw1haXVr+SUSG6tm36ti2v4XPnjyNrKzoB70UXh4ZymSNZDPYBcnqLhSRaGzff4jfPr+N46aW86Gj+95oJDIKrzQ31FbXYN2FCi4Ricb+5nZufGIzw4ty+dlHjyQnO7YY8nx5KPHPQMEVC41zichQ7Glo43uPrqets5vbrlzK6NLYhxvU8koxsa5TONDnkba6+tI4l4hE6u26Zr7953V0dTvuuupYjgouDRUrhVeS6O/C4HCtpYGCKX/CgrCfq7tQRPzgnOOxtbu5/qF1FOflcO9nj2P++OinxvelbsMklD9hwaDT5SNtgYE3swv7o+ASkV7NbQH+7/mtvPzOAU6bPZqfXLyQEUV5cTm2wisFFFTNjfn+Xf0F10BCW13RTItXcIlIr5ff2c+tf99GU1uAr589m0+fODWmKfH9UbehRwbqVgsNh9AWT2hLaKiTLQqq5g4YXBrnEhEv1Ld0cOMTm/npE28xvqyQh/75BD4T47VcA1HLK0Hmjc5/zyobsegNo4FaYZGMkWmcS0TiLdDdzYq1tfzx9RoCXY6vLZvNp06cQm6MU+EHo/CKgwWV+XG7i3LBxPnvrrbR39hXNK2wSIOrL41ziUikVtfU8/sXt7OzvpVTZlbwrfPnMSXKOyNHS+Hlk/mjC95d43Ds2LH9LtDbGz7RrncYdsbhAMGlcS4RidbOg63c8Uo1q6oPMnFkEb+5bDGnz6lMyLkVXh6aX1nwnmWiIu06DG199YpkBmLvduGOF2qg4ApHwSUioepbOrjvtRqe2rSXorwcvrpsFp88YQoFudkJq0Hh5aOBWl/9BVi0og2uaMa5RCSztHV28eia3Ty8eheBLscnjp3EF06fQXlJ4v8jq/CKk0jHvQZqfYULMIhtxflwFz3HM7jU6hLJHN3djmc213HfqhoOHOpg2bxKvrpsNlMrSnyrSeHlsb5dh4d9HtL6gvDjX6FBNFCQ9bdKR7iJGbo/l4hEYnVNPX94uZrqAy0cOWEEv/rEIpZMHul3WQovP/RtfYULMAh/l+X+Aqo/kYxvaYKGiPS1u76V21/ezqrqeqrKCrnp0qM5Z8EYzOJ7vVasFF5x1F/XYbjW12ABBgOH2ED6mwKv4BKRwRxqD/DH13fy+Lo95Odmce3Zs7nihMnk5yRuMkYkFF4JEmmAAf2GWK/QMBvoWq2+x+177v7qFJHM093teHLTXu5duYOmtgAXL57Al86aOaTblnhJ4RVnA03ciCTAIHwrLFQkgdV7nHBiCS61ukTS17pdDdz20na2729hyeQyvnXevLis/O4lhZcHol1xo78A6zVQkIUz0HVb0XQT9lJwiaSnxtZOfv/Sdv6+ZR/jRyTfuNZAFF4J1t/sw4Gm0A92EXEkYu0mVHCJpB/nHM9v2cdtL22ntaOLL5w+g6tPmZbQi4yHSuHlkWi7D+EfATPUBXzDHbO/Ogai4BJJPw2tndz87Nusqq7nqAkj+P7yI5hZWep3WVFTeHlosAADBgwxiC3IBrtmK5JJGQoukfSzuqaeXzz9Ni0dXVx37lwuO34y2XG+VUmieB5eZrYM+BmQDfyfc+6/+nyeD/weWATsBy5xzm0L+XwisB643jn3I6/rjbfBxr8Gu4g5mouHI6HWlkjm6e523PVqNQ+v3s2M0SX8z6VHMXvMML/LGhJPw8vMsoGbgPcDNcCrZvaQcy70hlRXAgedc9PN7CPA94FLQj6/EfiLl3V6LZIAg/CtsHhRa0skM7V0BPj5k1t4fUc9HztmIv9+7tyUGtvqj9ctr6XAFufcVgAzuwu4gJ6WVK8LgOuDz+8Dfm5m5pxzZvZBYCtwyOM6PRfJDMR4h1g012wpuETSz97GNn74+Cb2NLTxvQvn87FjJvldUtx4HV7jgR0hr2uAY/rbxjkXMLMGoNzMWoGv0dNq+3J/JzCzq4CrACZOnBi/yj0Q6RT60NCJNshiuchYwSWSOkK/8yrHVfW73Z6GNr77yHoC3Y7ff3Ipx08flagSE8Lr8Ao3Eugi3ObbwI3OueaBrjlwzt0M3AywePHivsdOOtFeA/Uj9+wAAAjhSURBVOblihcKLZHUE/qdN2fBkWG/8/Y0tPGdR9bjnOOuq45lztjUHt8Kx+vwqgEmhLyuAnb1s02NmeUAw4ED9LTQlpvZD4ARQLeZtTnnfu5xzZ7rDY1oQsyL84tI+mls7eQ//rIB5xx3XnVsyk/M6I/X4fUqMMPMpgA7gY8Al/bZ5iHgMuBFYDnwpHPOASf2bmBm1wPN6RBcoRIdYgotkfQW6Ormxic209jayb2fPS5tgws8Dq/gGNY1wAp6psr/1jm3zsxuAFY65x4CfgPcZmZb6GlxfcTLmpKR1yGm0BLJDH94uZqNe5r4748exRFVI/wux1OeX+flnHsUeLTPe9eFPG8DLhrkGNd7UlySCQ2ZoQaZAksks2zc3chj6/Zw+fGTOX/hOL/L8ZxW2EhSA4VPb7ApoEQEoLOrm18/t5WqskK+umyW3+UkhMIrBSm0RCTU05v2squhjVuuWEJRXmZ8rWf5XYCIiMSus6ubB9/YxaJJZZwys8LvchJG4SUiksJeeecA+w918IXTZ6TEfbjiReElIpLCntlcR9WIQk5MsxU0BqPwEhFJUYFux9qdDXxoURVZKXprk1gpvEREUlRrZxcOeP+cSr9LSTiFl4hIimrt6GJEUS7zxqXvShr9UXiJiKSo9kA3iyaWZVyXISi8RERSVmdXN/PGD/e7DF8ovEREUtiM0SV+l+ALhZeISAqbOLLI7xJ8ofASEUlhY4d7d8PaZKbwEhFJYaUFuX6X4AuFl4hIijKgIDczv8Yz83ctIpIGsrIso9YzDKXwEhFJUVkZGlyg+3kBMKpIfwwiknoydbIGqOUlIpKyhhdm5mQNUHiJiEgKUniJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKUXiJiEjKMeec3zXEjZnVAdv9riPEKGCf30X0Q7XFRrXFRrVFbp9zblkkG5rZY5Fum27SKrySjZmtdM4t9ruOcFRbbFRbbFSbxJu6DUVEJOUovEREJOUovLx1s98FDEC1xUa1xUa1SVxpzEtERFKOWl4iIpJyFF4iIpJyFF4xMrNlZrbJzLaY2bVhPs83s7uDn79sZpP7fD7RzJrN7MvJVJuZHWFmL5rZOjNbY2YFyVCbmeWa2e+CNW0ws6/Hs64IazvJzFaZWcDMlvf57DIzeyv4uCxZajOzI0P+Pleb2SXJUlvI58PMbKeZ/TyZagv+G308+PO2vu+/YfGZc06PKB9ANvA2MBXIA94E5vbZ5mrgl8HnHwHu7vP5/cC9wJeTpTYgB1gNLAy+Lgeyk6S2S4G7gs+LgG3A5ATXNhk4Avg9sDzk/ZHA1uCvZcHnZUlS20xgRvD5OGA3MCIZagv5/GfAHcDPffi30G9twNPA+4PPS4CieNanx9AeannFZimwxTm31TnXAdwFXNBnmwuA3wWf3wecbmYGYGYfpOcLbl2S1XYmsNo59yaAc26/c64rSWpzQLGZ5QCFQAfQmMjanHPbnHOrge4++54F/NU5d8A5dxD4KxDPVQ9irs05t9k591bw+S5gL1CRDLUBmNkioBJ4PI41Dbk2M5sL5Djn/hrcrtk51+JBjRIjhVdsxgM7Ql7XBN8Lu41zLgA0AOVmVgx8Dfh2stVGz//SnZmtCHalfDWJarsPOERPy6Ea+JFz7kCCa/Ni34Qd38yW0tMCeTtOdcEQajOzLODHwFfiWE+oofy5zQTqzeyPZva6mf3QzLLjXqHETOEVGwvzXt9rDvrb5tvAjc655rhXNfB5I9kmB3gf8LHgrxea2elJUttSoIuerq8pwJfMbGqCa/Ni34Qc38zGArcBVzjnDmsBDcFQarsaeNQ5t2PQLWMzlNpygBOBLwNL6Ol6vDw+ZUk8KLxiUwNMCHldBezqb5tgV9dw4ABwDPADM9sG/Cvw/8zsmiSprQZ4xjm3L9hF8ihwdJLUdinwmHOu0zm3F/g7EM/16CKpzYt9PT++mQ0DHgG+6Zx7KY51DbW244Brgv8WfgT8k5n9V5LUVgO8HuxyDAAPEN9/CzJECq/YvArMMLMpZpZHz8SCh/ps8xDQO+tsOfCk63Gic26yc24y8FPgP5xz8ZxlFXNtwArgCDMrCgbHycD6JKmtGjjNehQDxwIbE1xbf1YAZ5pZmZmV0TN2uCIZagtu/yfg9865e+NY05Brc859zDk3Mfhv4cvBGg+bEehHbcF9y8ysd3zwNOL7b0GGyu8ZI6n6AM4BNtMzfvCN4Hs3AOcHnxfQM5twC/AKMDXMMa4nzrMNh1ob8HF6JpKsBX6QLLXRM9vr3mBt64Gv+FDbEnr+R34I2A+sC9n3k8Gat9DTNZcUtQX/PjuBN0IeRyZDbX2OcTlxnm0Yh7/T99Mz+3YNcCuQF+/69Ij9oeWhREQk5ajbUEREUo7CS0REUo7CS0REUo7CS0REUo7CS0REUo7CSyRCZnaDmZ3hdx0iojspi0TEzLJdfBcpFpEhUMtLMp6ZTTazjcH7ha02s/uCq4xsM7PrzOx54CIzu7X3nk9mtsTMXjCzN83sFTMrNbPs4AKurwaP8xmff2siaUvhJdJjFnCzc+4Iem61cnXw/Tbn3Pucc3f1bhhcauhu4F+ccwuBM4BW4EqgwTm3hJ6VGz5tZlMS+ZsQyRQKL5EeO5xzfw8+v52eVfWhJ6T6mgXsds69CuCca/z/7d0hTgNBFMbx/5eUCyARBFMUFsEFuAJBoRE9DYI06TFwWAyGAGkCF0EP4i2GbBtEmzLp/6d2N0+Me3kzm29ahbdeUuGyr8AzdZXLdLvLlvbTZNcLkP6J34e/P+9fI7Vh/GqNALPW2iZDeSWNcPKSynGSi+H5GnhaU/sJHCU5BxjOuyZUkvxtkoPh++mQgC9pw2xeUvkAbpK8A4fA/arCVlfKXwF3Sd6ARyoNf0El3r8kWQJz3N2QtsJf5bX3kpwAD621sx0vRdIfOXlJkrrj5CVJ6o6TlySpOzYvSVJ3bF6SpO7YvCRJ3bF5SZK68w1z+47pRK8CqAAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"sin\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[(df.rule==\"step\")])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"gb=df[['timestep','experiment_index','run','abs_err']].groupby(['run','experiment_index'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 53,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<style scoped>\n",
|
|
" .dataframe tbody tr th:only-of-type {\n",
|
|
" vertical-align: middle;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe tbody tr th {\n",
|
|
" vertical-align: top;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe thead th {\n",
|
|
" text-align: right;\n",
|
|
" }\n",
|
|
"</style>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>output_price</th>\n",
|
|
" <th>price</th>\n",
|
|
" <th>reserve</th>\n",
|
|
" <th>run</th>\n",
|
|
" <th>spot_price</th>\n",
|
|
" <th>substep</th>\n",
|
|
" <th>supply</th>\n",
|
|
" <th>timestep</th>\n",
|
|
" <th>experiment_index</th>\n",
|
|
" <th>kappa</th>\n",
|
|
" <th>invariant</th>\n",
|
|
" <th>dust</th>\n",
|
|
" <th>rule</th>\n",
|
|
" <th>dP</th>\n",
|
|
" <th>sigma</th>\n",
|
|
" <th>period</th>\n",
|
|
" <th>err</th>\n",
|
|
" <th>abs_err</th>\n",
|
|
" <th>price_pc</th>\n",
|
|
" <th>spot_price_pc</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>0.100000</td>\n",
|
|
" <td>0.100000</td>\n",
|
|
" <td>50000.000000</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0.100000</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>1.000000e+06</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.000000</td>\n",
|
|
" <td>0.000000</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>0.099261</td>\n",
|
|
" <td>0.099217</td>\n",
|
|
" <td>48532.835445</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0.098522</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>9.852191e+05</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.000695</td>\n",
|
|
" <td>0.000695</td>\n",
|
|
" <td>-0.007827</td>\n",
|
|
" <td>-0.014781</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>0.099555</td>\n",
|
|
" <td>0.099665</td>\n",
|
|
" <td>50590.198534</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0.100588</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>1.005885e+06</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>-0.000923</td>\n",
|
|
" <td>0.000923</td>\n",
|
|
" <td>0.004518</td>\n",
|
|
" <td>0.020976</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>0.099455</td>\n",
|
|
" <td>0.099366</td>\n",
|
|
" <td>48336.442127</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0.098322</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>9.832237e+05</td>\n",
|
|
" <td>3</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.001043</td>\n",
|
|
" <td>0.001043</td>\n",
|
|
" <td>-0.003008</td>\n",
|
|
" <td>-0.022528</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>0.099732</td>\n",
|
|
" <td>0.099813</td>\n",
|
|
" <td>51147.193496</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0.101141</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>1.011407e+06</td>\n",
|
|
" <td>4</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>-0.001327</td>\n",
|
|
" <td>0.001327</td>\n",
|
|
" <td>0.004505</td>\n",
|
|
" <td>0.028664</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" output_price price reserve run spot_price substep \\\n",
|
|
"0 0.100000 0.100000 50000.000000 0 0.100000 0 \n",
|
|
"1 0.099261 0.099217 48532.835445 0 0.098522 1 \n",
|
|
"2 0.099555 0.099665 50590.198534 0 0.100588 1 \n",
|
|
"3 0.099455 0.099366 48336.442127 0 0.098322 1 \n",
|
|
"4 0.099732 0.099813 51147.193496 0 0.101141 1 \n",
|
|
"\n",
|
|
" supply timestep experiment_index kappa invariant dust \\\n",
|
|
"0 1.000000e+06 0 0 2 20000000.0 1.000000e-08 \n",
|
|
"1 9.852191e+05 1 0 2 20000000.0 1.000000e-08 \n",
|
|
"2 1.005885e+06 2 0 2 20000000.0 1.000000e-08 \n",
|
|
"3 9.832237e+05 3 0 2 20000000.0 1.000000e-08 \n",
|
|
"4 1.011407e+06 4 0 2 20000000.0 1.000000e-08 \n",
|
|
"\n",
|
|
" rule dP sigma period err abs_err price_pc spot_price_pc \n",
|
|
"0 martin N/A 0.005 N/A 0.000000 0.000000 NaN NaN \n",
|
|
"1 martin N/A 0.005 N/A 0.000695 0.000695 -0.007827 -0.014781 \n",
|
|
"2 martin N/A 0.005 N/A -0.000923 0.000923 0.004518 0.020976 \n",
|
|
"3 martin N/A 0.005 N/A 0.001043 0.001043 -0.003008 -0.022528 \n",
|
|
"4 martin N/A 0.005 N/A -0.001327 0.001327 0.004505 0.028664 "
|
|
]
|
|
},
|
|
"execution_count": 53,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"df.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 42,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"df['price_pc']=df.price.pct_change()\n",
|
|
"df['spot_price_pc']=df.spot_price.pct_change()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 57,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 429x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.lmplot(x='spot_price_pc', y='price_pc', hue='rule',truncate=True,data=df)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from pylab import *"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0, 0.5, 'Absolute Value of Estimation Error')"
|
|
]
|
|
},
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x432 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.subplots(figsize=(10,6))\n",
|
|
"ax1=subplot(2,1,1)\n",
|
|
"pdf[[\"spot_price\",\"price\"]].plot(ax=ax1)\n",
|
|
"plt.legend([\"spot price (output: $P_t$)\", \"price sample (input: $\\hat P_t$)\" ])\n",
|
|
"#plt.xlabel(\"transaction count (time)\")\n",
|
|
"plt.ylabel(\"Price, $\\hat P_t$, $P_t$\")\n",
|
|
"plt.title(\"Step Response Dynamics\")\n",
|
|
"ax2=subplot(2,1,2)\n",
|
|
"pdf[[\"abs_err\"]].plot(ax=ax2,logy=True, color='green')\n",
|
|
"plt.legend([\"$|P_t-\\hat P_t|$\" ])\n",
|
|
"plt.xlabel(\"transaction count (time)\")\n",
|
|
"plt.ylabel(\"Absolute Value of Estimation Error\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def response_plot(rdf, title):\n",
|
|
" plt.subplots(figsize=(10,6))\n",
|
|
" ax1=subplot(2,1,1)\n",
|
|
" rdf[[\"spot_price\",\"price\"]].plot(ax=ax1)\n",
|
|
" plt.legend([\"spot price (output: $P_t$)\", \"price sample (input: $\\hat P_t$)\" ])\n",
|
|
" #plt.xlabel(\"transaction count (time)\")\n",
|
|
" plt.ylabel(\"Price, $\\hat P_t$, $P_t$\")\n",
|
|
" plt.title(title+\" Response Dynamics\")\n",
|
|
" ax2=subplot(2,1,2)\n",
|
|
" rdf[[\"abs_err\"]].plot(ax=ax2,logy=True, color='green')\n",
|
|
" plt.legend([\"$Error: |P_t-\\hat P_t|$\" ])\n",
|
|
" plt.xlabel(\"transaction count (time)\")\n",
|
|
" plt.ylabel(\"Absolute Value of Estimation Error\")\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x432 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"response_plot(df[df.rule=='step'], \"Step\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x432 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"response_plot(df[df.rule=='ramp'], \"Ramp\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x432 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"response_plot(df[df.rule=='sin'], \"Periodic\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 39,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x432 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"response_plot(df[df.rule=='martin'], \"Martingale\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"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": "3.6.8"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|