mirror of
https://github.com/RoryLee1/Validus-Risk-Management-Junior-Quant-Case-Study.git
synced 2026-07-28 10:57:43 +00:00
865 lines
356 KiB
Plaintext
865 lines
356 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "9162ed1c",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Validus Risk Management Case Study"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"id": "004f0ed6",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import math as m\n",
|
|
"import numpy as np\n",
|
|
"import pandas as pd\n",
|
|
"import matplotlib.pyplot as plt \n",
|
|
"import seaborn as sns\n",
|
|
"import numpy_financial as npf"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "a9b3921a",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Monte Carlo Simulation for GBPHUF FX Spot Rate\n",
|
|
"\n",
|
|
"The formula for Geometric Brownian Motion takes the following form:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"dS_t = \\mu S_t \\, dt + \\sigma S_t \\, dW_t\n",
|
|
"$$\n",
|
|
"\n",
|
|
"where:\n",
|
|
"\n",
|
|
"- $ S_t $ is the asset price at time t \n",
|
|
"- $ \\mu $ is the drift \n",
|
|
"- $ \\sigma $ is the volatility \n",
|
|
"- $ W_t $ is a Wiener process\n",
|
|
"\n",
|
|
"\n",
|
|
"We can apply Ito's Lemma to $ f(t,S) = ln(S) $ to get the dynamic of $ ln(S_t) $. This yields:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"S_t\n",
|
|
"=\n",
|
|
"S_0\n",
|
|
"\\exp\\!\\left(\n",
|
|
"\\left(\\mu - \\tfrac{1}{2}\\sigma^2\\right)(t - 0)\n",
|
|
"+ \\sigma (W_t - W_0)\n",
|
|
"\\right)\n",
|
|
"$$\n",
|
|
"\n",
|
|
"For our simulation we must discretize time with a time step $ \\delta t $. We also use properties of a Wiener process to get:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"S_{t+\\delta t}\n",
|
|
"=\n",
|
|
"S_t \\exp\\!\\left[\n",
|
|
"\\left(\\mu - \\tfrac{1}{2}\\sigma^2\\right)\\delta t\n",
|
|
"+ \\sigma \\epsilon \\sqrt{\\delta t}\\, \n",
|
|
"\\right],\n",
|
|
"\\quad \\epsilon \\sim \\mathcal{N}(0,1)\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"id": "adf3b3f2",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"GBPHUF = 455.25 #start amount\n",
|
|
"sigma = 0.093 #this is the annual volatility \n",
|
|
"mu = 0 #drift\n",
|
|
"nr = 1000 #number of simulations\n",
|
|
"T = 5 #time to maturity \n",
|
|
"n = 5*252 #number of time steps\n",
|
|
"\n",
|
|
"nu = mu - 0.5 * sigma**2\n",
|
|
"dt = 1/252\n",
|
|
"\n",
|
|
"GBPHUF_val = np.zeros((nr,n+1))\n",
|
|
"epsilon = np.random.randn(nr,n)\n",
|
|
"\n",
|
|
"GBPHUF_val[:,0] = GBPHUF\n",
|
|
"for i in range(nr): \n",
|
|
" for j in range(1,n+1): \n",
|
|
" GBPHUF_val[i,j] = GBPHUF_val[i,j-1] * m.exp(nu*dt + sigma * dt**0.5 * epsilon[i,j-1])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "1d6367c9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"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": [
|
|
"plt.figure()\n",
|
|
"for i in range(nr):\n",
|
|
" plt.plot(GBPHUF_val[i,:])\n",
|
|
"plt.title('Monte Carlo Method simulations - GBM Paths');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "1b78657a",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Question (a)\n",
|
|
"\n",
|
|
"The GBPHUF FX Spot rate tells us the amount of HUF for 1 GBP. E.g. At t = 0, 455.25 HUF can be exchanged for 1 GBP. We can therefore convert HUF cashflows to GBP cashflows using the following:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"GBP_{CF} = \\frac{HUF_{CF}}{S}\n",
|
|
"$$\n",
|
|
"\n",
|
|
"$GBP_{CF}$ is our required cashflow in GBP, $HUF_{CF}$ is our cashflow in HUF and $S$ is our GBPHUF FX spot rate.\n",
|
|
"\n",
|
|
"In order to do this calculation we will find the GBPHUF FX spot rate at the required time in our simulation and divide the HUF cashflows at that date by the rate. \n",
|
|
"\n",
|
|
"Then we calculate the IRR, which is a measure of an investments profatibility, in GBP terms using the formula below.\n",
|
|
"\n",
|
|
"$$0 = \\text{NPV} = \\sum_{t=1}^{T} \\frac{C_t}{(1 + \\text{IRR})^t} - C_0$$\n",
|
|
"\n",
|
|
"where:\n",
|
|
"\n",
|
|
"- $ C_{\\text{t}} $ is the net cash inflow during the period t \n",
|
|
"- $ C_{\\text{0}} $ is the total initial investment costs\n",
|
|
"- $ t $ is the number of time periods"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "6aef8790",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"data = pd.read_excel(r\"C:\\Users\\roryx\\Downloads\\Junior_Quant_Case_Study_Aug_2025_-_Cashflow_Model.xlsx\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "4acdc665",
|
|
"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>Date</th>\n",
|
|
" <th>Fund</th>\n",
|
|
" <th>Cashflow Type</th>\n",
|
|
" <th>Cashflow Amount (in Local Asset Currecny)</th>\n",
|
|
" <th>Local Asset Currency</th>\n",
|
|
" <th>Fund Currency</th>\n",
|
|
" <th>Base Case IRR</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>2025-08-01</td>\n",
|
|
" <td>Validus V</td>\n",
|
|
" <td>Equity</td>\n",
|
|
" <td>-100000000</td>\n",
|
|
" <td>HUF</td>\n",
|
|
" <td>GBP</td>\n",
|
|
" <td>0.149914</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>2026-08-01</td>\n",
|
|
" <td>Validus V</td>\n",
|
|
" <td>Proceeds</td>\n",
|
|
" <td>15000000</td>\n",
|
|
" <td>HUF</td>\n",
|
|
" <td>GBP</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>2027-08-01</td>\n",
|
|
" <td>Validus V</td>\n",
|
|
" <td>Proceeds</td>\n",
|
|
" <td>15000000</td>\n",
|
|
" <td>HUF</td>\n",
|
|
" <td>GBP</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>2028-08-01</td>\n",
|
|
" <td>Validus V</td>\n",
|
|
" <td>Proceeds</td>\n",
|
|
" <td>15000000</td>\n",
|
|
" <td>HUF</td>\n",
|
|
" <td>GBP</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>2029-08-01</td>\n",
|
|
" <td>Validus V</td>\n",
|
|
" <td>Proceeds</td>\n",
|
|
" <td>15000000</td>\n",
|
|
" <td>HUF</td>\n",
|
|
" <td>GBP</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>5</th>\n",
|
|
" <td>2030-08-01</td>\n",
|
|
" <td>Validus V</td>\n",
|
|
" <td>Proceeds</td>\n",
|
|
" <td>115000000</td>\n",
|
|
" <td>HUF</td>\n",
|
|
" <td>GBP</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" Date Fund Cashflow Type \\\n",
|
|
"0 2025-08-01 Validus V Equity \n",
|
|
"1 2026-08-01 Validus V Proceeds \n",
|
|
"2 2027-08-01 Validus V Proceeds \n",
|
|
"3 2028-08-01 Validus V Proceeds \n",
|
|
"4 2029-08-01 Validus V Proceeds \n",
|
|
"5 2030-08-01 Validus V Proceeds \n",
|
|
"\n",
|
|
" Cashflow Amount (in Local Asset Currecny) Local Asset Currency \\\n",
|
|
"0 -100000000 HUF \n",
|
|
"1 15000000 HUF \n",
|
|
"2 15000000 HUF \n",
|
|
"3 15000000 HUF \n",
|
|
"4 15000000 HUF \n",
|
|
"5 115000000 HUF \n",
|
|
"\n",
|
|
" Fund Currency Base Case IRR \n",
|
|
"0 GBP 0.149914 \n",
|
|
"1 GBP NaN \n",
|
|
"2 GBP NaN \n",
|
|
"3 GBP NaN \n",
|
|
"4 GBP NaN \n",
|
|
"5 GBP NaN "
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"data"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "fd8da1f8",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Year 0 is after 0 Working Days\n",
|
|
"Year 1 is after 252 Working Days\n",
|
|
"Year 2 is after 504 Working Days\n",
|
|
"Year 3 is after 756 Working Days\n",
|
|
"Year 4 is after 1008 Working Days\n",
|
|
"Year 5 is after 1260 Working Days\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"Years = []\n",
|
|
"for i in range(0,6):\n",
|
|
" Years.append(i*252)\n",
|
|
" print(f'Year {i} is after {i*252} Working Days')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "a827c35e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[0, 252, 504, 756, 1008, 1260]"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"Years"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "8955700b",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"GBPHUF_val_aug = GBPHUF_val[:, Years] #These are the simulated spot rate values as at the date of the cashflow"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "06c632d4",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#Converting HUF Cashflows to GBP\n",
|
|
"GBP_CF = np.zeros_like(GBPHUF_val_aug)\n",
|
|
"for i in range(6):\n",
|
|
" GBP_CF[:, i] = data.iloc[i,3]/GBPHUF_val_aug[:,i]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "7940bb90",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#IRR Calculation\n",
|
|
"irr = np.zeros(len(GBP_CF))\n",
|
|
"for i in range(len(GBP_CF)):\n",
|
|
" irr[i] = npf.irr(GBP_CF[i,:])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "632f8b1f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"5th Percentile: 0.07799262116281874\n",
|
|
"50th Percentile: 0.15586083188072664\n",
|
|
"95th Percentile: 0.23716705852217057\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"#Finding the percentiles\n",
|
|
"p5, p50, p95 = np.percentile(irr, [5, 50, 95])\n",
|
|
"\n",
|
|
"print(f\"5th Percentile: {p5}\")\n",
|
|
"print(f\"50th Percentile: {p50}\")\n",
|
|
"print(f\"95th Percentile: {p95}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "ed00cf04",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"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": [
|
|
"#Plotting the distribution\n",
|
|
"plt.hist(irr, bins=40, color='teal', edgecolor='black')\n",
|
|
"plt.axvline(p5, color='blue', linestyle='--', label='5th Pctl')\n",
|
|
"plt.axvline(p50, color='black', linestyle='-', label='50th Pctl')\n",
|
|
"plt.axvline(p95, color='red', linestyle='--', label='95th Pctl ')\n",
|
|
"plt.xlabel('Internal Rate of Return')\n",
|
|
"plt.ylabel('Frequency')\n",
|
|
"plt.title('Distribution Of IRR Values - Unhedged Portfolio')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "0a8f0245",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Question (b)\n",
|
|
"\n",
|
|
"The payoff for a European Put Option is as such \n",
|
|
"$$\n",
|
|
"\\text{Payoff} = \\max(K - S_T,\\, 0)\n",
|
|
"$$\n",
|
|
"\n",
|
|
"This means the specified option will be in the money when the GBPHUF spot rate is less than the strike price of 455.25. Therefore we are protecting againt the HUF strenghtening vs the GBP.\n",
|
|
"\n",
|
|
"For our GBPHUF option we will use the following formula:\n",
|
|
"$$\n",
|
|
"\\text{Payoff}_{\\text{HUF}} = N_{\\text{GBP}} \\max(K - S_T,\\, 0)\n",
|
|
"$$\n",
|
|
"\n",
|
|
"where:\n",
|
|
"\n",
|
|
"- $ N_{\\text{GBP}} $ is the nominal amount in GBP \n",
|
|
"- $ K $ is the strike\n",
|
|
"- $ S_T $ is the GBPHUF Spot rate at 01/08/2029\n",
|
|
"\n",
|
|
"We then convert the payoff into GBP by dividing the payoffs calculated above by the spot rate at that time. \n",
|
|
"\n",
|
|
"Then to get the price of the option we use the Fundamental Theorm of Asset pricing. $f(S_T)$ is the option payoff in GBP.\n",
|
|
"\n",
|
|
"$$\n",
|
|
"f_0 = e^{-rT}\\mathbb{E}^{\\mathbb{Q}}[f(S_T)] \\approx e^{-rT}\\frac{1}{N}\\sum_{i=1}^N f(S_T^{(i)})\n",
|
|
"$$\n",
|
|
"\n",
|
|
"As the risk-free rates are 0%, Our discount factor ($e^{-rT}$) is 1. Therefore:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"Option Price = \\mathbb{E}[Payoff_T]\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"id": "742951e8",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"The price of our Put Option in GBP is: 20721.234535433607\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"S_T = GBPHUF_val_aug[:,4]\n",
|
|
"K = 455.25\n",
|
|
"N_HUF = 100000000\n",
|
|
"N_GBP = N_HUF/K\n",
|
|
"\n",
|
|
"FinPayOff_HUF = N_GBP * np.maximum(K-S_T, 0) #N_GBP*np.maximum((K-S_T), 0)\n",
|
|
"FinPayOff_GBP = FinPayOff_HUF/S_T\n",
|
|
"\n",
|
|
"price_gbp = FinPayOff_GBP.mean()\n",
|
|
"\n",
|
|
"print(f\"The price of our Put Option in GBP is: {price_gbp}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "096f1eb3",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Question (c)\n",
|
|
"\n",
|
|
"The hedged portfolio cashflows consist of:\n",
|
|
"\n",
|
|
"-The original fund cashflows <br>\n",
|
|
"-The option premium paid at t = 0 <br>\n",
|
|
"-The option payoff received at expiry (t = 4) <br>\n",
|
|
"\n",
|
|
"The IRR will then be calculated similarly to above and the two portfolios will be compared"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"id": "0515f794",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#New Cashflows of the Hedged Portfolio\n",
|
|
"H_GBP_CF = GBP_CF.copy()\n",
|
|
"H_GBP_CF[:,0] = GBP_CF[:,0] - price_gbp\n",
|
|
"H_GBP_CF[:,4] = GBP_CF[:,4] + FinPayOff_GBP "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"id": "d6ce7fc0",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#IRR Calculation\n",
|
|
"irr_hp = np.zeros(len(H_GBP_CF))\n",
|
|
"for i in range(len(H_GBP_CF)):\n",
|
|
" irr_hp[i] = npf.irr(H_GBP_CF[i,:])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"id": "1c534a68",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"5th Percentile of Hedged Portfolio: 0.05. 5th Percentile of Unhedged Portfolio: 0.08.\n",
|
|
"50th Percentile of Hedged Portfolio: 0.13. 50th Percentile of Unhedged Portfolio: 0.16.\n",
|
|
"95th Percentile of Hedged Portfolio: 0.25. 95th Percentile of Unhedged Portfolio: 0.24.\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"hp5, hp50, hp95 = np.percentile(irr_hp, [5, 50, 95])\n",
|
|
"\n",
|
|
"print(f\"5th Percentile of Hedged Portfolio: {hp5:.2f}. 5th Percentile of Unhedged Portfolio: {p5:.2f}.\")\n",
|
|
"print(f\"50th Percentile of Hedged Portfolio: {hp50:.2f}. 50th Percentile of Unhedged Portfolio: {p50:.2f}.\")\n",
|
|
"print(f\"95th Percentile of Hedged Portfolio: {hp95:.2f}. 95th Percentile of Unhedged Portfolio: {p95:.2f}.\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"id": "8a91b56e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"The standard deviation of the Hedged Portfolio is: 0.06233\n",
|
|
"The standard deviation of the Unhedged Portfolio is: 0.04870\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"std_dev_hp = np.std(irr_hp)\n",
|
|
"std_dev_p = np.std(irr)\n",
|
|
"print(f\"The standard deviation of the Hedged Portfolio is: {std_dev_hp:.5f}\")\n",
|
|
"print(f\"The standard deviation of the Unhedged Portfolio is: {std_dev_p:.5f}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"id": "fc6d45ee",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"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": [
|
|
"plt.hist(irr_hp, bins=40, color='teal',alpha=0.5, label='Hedged IRR', edgecolor='black')\n",
|
|
"plt.hist(irr, bins=40, color='blue',alpha=0.5, label='Unhedged IRR', edgecolor='black')\n",
|
|
"plt.xlabel('Internal Rate of Return')\n",
|
|
"plt.ylabel('Frequency')\n",
|
|
"plt.title('Distribution Of IRR Values - Hedged vs Unhedged Portfolio')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "229fb326",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can see from these results that the choice of a European Put Option as a hedge is incorrect. It doesnt protect against a weakening HUF, which leads to a decrease in our GBP Cashflows. <br> \n",
|
|
"It instead pays out when $S_t < K$ which means the HUF has strengthened and our cashflows have increased in GBP i.e. we are getting a payout in an already favourable situation. This is why the 95th percentile of the Hedged Portfolio is greater than that of the Unhedged Portfolio. <br> \n",
|
|
"We also see the 5th percentile and 50th percentile of the Hedged Portfolio is lower than the Unhedged Portfolio due to the option price. This means that our Hedged Portfolio performs worse in adverse scenarios.<br> \n",
|
|
"The standard deviation of the Hedged Portfolio is also higher, meaning IRR results are more volatile with the purchase of the Put option. These are not things we want from a hedge.\n",
|
|
"\n",
|
|
"The correct hedging option would be a GBPHUF European Call. We will quickely compare the distributions below."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"id": "05186de4",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"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": [
|
|
"FinPayOffCall_HUF = N_GBP * np.maximum(S_T-K, 0) \n",
|
|
"FinPayOffCall_GBP = FinPayOffCall_HUF/S_T\n",
|
|
"\n",
|
|
"pricecall_gbp = FinPayOffCall_GBP.mean()\n",
|
|
"\n",
|
|
"Call_GBP_CF = GBP_CF.copy()\n",
|
|
"Call_GBP_CF[:,0] = GBP_CF[:,0] - pricecall_gbp\n",
|
|
"Call_GBP_CF[:,4] = GBP_CF[:,4] + FinPayOffCall_GBP \n",
|
|
"\n",
|
|
"irr_call = np.zeros(len(Call_GBP_CF))\n",
|
|
"for i in range(len(Call_GBP_CF)):\n",
|
|
" irr_call[i] = npf.irr(Call_GBP_CF[i,:])\n",
|
|
" \n",
|
|
"plt.hist(irr, bins=40, color='teal',alpha=0.5, label='Unhedged IRR', edgecolor='black')\n",
|
|
"plt.hist(irr_call, bins=40, color='blue',alpha=0.5, label='Call Hedged IRR', edgecolor='black')\n",
|
|
"plt.xlabel('Internal Rate of Return')\n",
|
|
"plt.ylabel('Frequency')\n",
|
|
"plt.title('Distribution Of IRR Values- Hedged vs Unhedged Portfolio')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 48,
|
|
"id": "1937fed9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"5th Percentile of Call Hedged Portfolio: 0.103. 5th Percentile of Unhedged Portfolio: 0.08.\n",
|
|
"50th Percentile of Call Hedged Portfolio: 0.142. 50th Percentile of Unhedged Portfolio: 0.16.\n",
|
|
"95th Percentile of Call Hedged Portfolio: 0.219. 95th Percentile of Unhedged Portfolio: 0.24.\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"hpc5, hpc50, hpc95 = np.percentile(irr_call, [5, 50, 95])\n",
|
|
"\n",
|
|
"print(f\"5th Percentile of Call Hedged Portfolio: {hpc5:.3f}. 5th Percentile of Unhedged Portfolio: {p5:.2f}.\")\n",
|
|
"print(f\"50th Percentile of Call Hedged Portfolio: {hpc50:.3f}. 50th Percentile of Unhedged Portfolio: {p50:.2f}.\")\n",
|
|
"print(f\"95th Percentile of Call Hedged Portfolio: {hpc95:.3f}. 95th Percentile of Unhedged Portfolio: {p95:.2f}.\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 49,
|
|
"id": "208b613a",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"The standard deviation of the Call Hedged Portfolio is: 0.03667\n",
|
|
"The standard deviation of the Unhedged Portfolio is: 0.04870\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"std_dev_hpc = np.std(irr_call)\n",
|
|
"std_dev_p = np.std(irr)\n",
|
|
"print(f\"The standard deviation of the Call Hedged Portfolio is: {std_dev_hpc:.5f}\")\n",
|
|
"print(f\"The standard deviation of the Unhedged Portfolio is: {std_dev_p:.5f}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "22dfd26d",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can see from the comparison of the distributions that we are much better protected against adverse scenarios with a GBPHUF Call option. This is because a Call Option pays out when $S_t > K$, which corresponds to a weakening HUF and a decrease in our projects cashflow in GBP.\n",
|
|
"\n",
|
|
"We will also notice a lower standard deviation. This means our portfolio is less risky."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "0219ab38",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Question (d)\n",
|
|
"\n",
|
|
"This forward contract will allow us to exchange 115,000,000 HUF for GBP at a fixed rate of K = 455.25. Again as the risk-free rates are 0%, our discount factor is 1.\n",
|
|
"\n",
|
|
"Mark-to-Market is the current market value of the forward contract.\n",
|
|
"\n",
|
|
"We agree to Pay N HUF and receive $\\frac{N}{K}$ GBP. At time t The market may give us $\\frac{N}{S_t}$ GBP. The difference between these to values is the MTM:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"MTM_t^{GBP} = N (\\frac{1}{K} - \\frac{1}{S_t})\n",
|
|
"$$\n",
|
|
"\n",
|
|
"A margin call is triggered whenever the value of the MTM exceeds the GBP 70,000 threshold."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 55,
|
|
"id": "3533aa3b",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"The probability of at least one margin call over the life of the trade is 20.60%\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"GBPHUF_val_2029 = GBPHUF_val[:, 0:1009] \n",
|
|
"sim, time = GBPHUF_val_2029.shape\n",
|
|
"N = 115000000\n",
|
|
"threshold = 70000\n",
|
|
"\n",
|
|
"margin_call = np.zeros(sim, dtype=bool)\n",
|
|
"\n",
|
|
"for i in range(sim):\n",
|
|
" for j in range(time):\n",
|
|
" mtm = N * (1/K - 1/GBPHUF_val_2029[i, j])\n",
|
|
" if mtm < -threshold:\n",
|
|
" margin_call[i] = True \n",
|
|
" break\n",
|
|
"\n",
|
|
"prob_margin_call = margin_call.mean()*100 \n",
|
|
"\n",
|
|
"print(f\"The probability of at least one margin call over the life of the trade is {prob_margin_call:.2f}%\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 54,
|
|
"id": "8542193d",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAFNCAYAAACQU97UAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOydd5hU5dmH73dme+8FtrALu0vv0ntHOoLYQEVFY0yiJjGJ8YslMcUkJhqjxkZRBKnSe++dZVmWsmzvvdeZeb8/5sxxZgssvXju6+Ji5rR55+yZc573Kb9HSCnR0NDQ0NDQ0ND48aC70wPQ0NDQ0NDQ0NC4vWgGoIaGhoaGhobGjwzNANTQ0NDQ0NDQ+JGhGYAaGhoaGhoaGj8yNANQQ0NDQ0NDQ+NHhmYAamhoaGhoaGj8yNAMQA0NDYQQKUKIUXd6HLcaIYQUQrS70+OwRgixWwjx7J0ehzVCiMeFEFvv0GcvEEL8SXk9TAiRcaPHuZUIId4SQnxznftecYx34/Wqcf+gGYAaGjcZxZiqFkJUWP1rdafHdb0oDykphJjcYPm/leVPCSFet/quNUIIo9X7eGV7KYTIFULYWR3DTgiRJ4RoVpC0wfnMFULMF0K4tWDcd51hda0oxoUUQvy8wfKXleVv3YrPlVIullKOud79hRDRQojlQogCIUSpEOKMEOJVIYT+ZoxPCBHW4PclhRCVVu8H34zP0dC4n9EMQA2NW8MkKaWb1b+sa9nZ2ki6mdzAcS8CTzY4zkzgMoCU8s+W7wq8AByy+u6drI5TAoy3ev8gUNyCz5+kHLsn8ADwxnV+j3sRm3OvMEdZfs0IM7fs3i+EaAscAdKBLlJKT8zXSm/A/WZ8hpQyzfr3pSzuZrVs3zWO+Zb83jQ07mY0A1BD4zYhhHBUvGZZyr9/CyEclXXDhBAZQojfCCFygPlCiD1CiIeU9YMUL8eDyvtRQojTyuu2QoidQohCxeOyWAjhZfW5KcpxzwCVitdtthAiVdnn9y0Y/jpgoBDCW3k/DjgD5Fzjafgas/FiYQ6wqKU7SykzgU1AZyGEtxBivRAiXwhRrLwOARBCvAsMBj5SPEIfWR1mlBDikrLPf4UQQtmnnXLOS5Xz+F1z41C8WznKtnuFEJ2s1i1QjrtBCFEuhDiiGEWW9aOFEOeVfT8CxFW+9jHAxfIZyv/OynLLMZs9F8r63UKId4UQB4AqIFIIMUYIcUEZx8fKd39W2f4pIcR+q/2lEOKFps5bE7wNHJRSviqlzAaQUl6QUj4mpSy52vm7yXhf4e8ghRA/FUJcAi4pyyYKIU4LIUqEEAeFEF2ttv+NECJTOdYFIcRIq89xEEIsUtbFCyF6W+3XQTn/Jco6G0+6NUKIXwshsoX5/jC3wboHhRDnlM/IFEL86macII0fL5oBqKFx+/g90A/oDnQD+mDryQoCfIBwYB6wBximrBsCJAFDrd7vUV4L4C9AK6ADEAq81eCzHwUmAF5ANPAJMFvZxxcI4crUAGuBR5T312S4WfE9MEQI4aUYqYOBNS3dWQgRitlreArz/Ws+5vMVBlQDHwFIKX8P7ANeUjxCL1kdZiJmL2I34GFgrLL8j8BWwBvz+fjPFYayCYgCAoCTwOIG6x/FbAh5A4nAu8r4/YCVmP/ufpg9qANb8NWtDecnaXzumz0XVszGfF25A6XACuB3mP/+F4ABVxlDc+etIaOUY1+Jq52/m0WTfwcrpgJ9gY5CiJ7AV8DzmM/J/4C1wjxxiwFeAh6QUrpj/u4pVseZDCzF/Ptai3LuhRD2mCdPWzF/158Bi5Xj2SCEGAf8ChiN+dw0zMn9Enhe+fzOwM5rOhMaGg3QDEANjVvD98qMv0QI8b2y7HHgHSllnpQyH/ODabbVPibgTSllrZSyGrOBZ23w/cXq/VBlPVLKRCnlNmW/fOB9q+0sfCilTFeOOwNYL6XcK6WsBf5P+eyrsQiYI4TwVI7//ZU3b5IazA/EWZiNybXKsqvxvRCiBNiP+Xv/WUpZKKVcKaWsklKWY364N/zeTfFXKWWJlDIN2IXZIAeox2xAtZJS1kgp9zd3ACnlV1LKcuX8vQV0U86LhVVSyqNSSgNm48byGQ8C56SUK6SU9cC/aZkX9RvgUcWgeER5bz2elpyLBVLKeGVM44F4KeUq5f2HLRhHc+etIb5A9pUO1ILzd7No7u9g4S9SyiLld/Ec8D8p5REppVFKuRCoxTxpMwKOmA1FeyllipTystVx9kspN0opjZiN9W7K8n6AG+ZzVyel3Amsx2yYNuRhYL6U8qyUspLGk7h65fM9pJTFUsqT13VGNDQUNANQQ+PWMFVK6aX8m6osawWkWm2TqiyzkC+ltDaGDgHRQohAzA+uRUCo4kXqA+wFEEIECCGWKmGhMszGgV+D8aRbvW5l/V552BRe7QspBpE/Zu/VeuWheT0swuzNuhYvouV8hkspX5RSVgshXIQQ/xPmUHYZ5vPhJa5eaGBt6FRhfkADvIbZm3pUCdXNbbQnIITQCyH+KoS4rHxuirLK+pw39xkNz73E9m/TJIrRlQj8GbgkpbTZp4Xn4krXgASuVm3b3HdqSCEQ3NxBWnj+bhZXG7P1OQkHfmk1cSvB7E1vJaVMBF7GbJTlKb83699uw89xEua8wlZAupTSeoKVCrRuYqw2fxNs7xUAD2GeQKQq4fr+TRxDQ6PFaAaghsbtIwvzQ8ZCmLLMgk0lrJSyCjgB/AI4K6WsAw4CrwKXpZQFyqZ/UfbtKqX0AJ6gcV6Z9bGzMT/YALPxgNlr0xK+AX7J9YV/LezDbCAEYvboXS+/BGKAvsr3HqIst3z3ZiuLm0JKmSOlfE5K2QpzGPBj0bQEx2PAFMwhOk+gTYPPvRINz72wfn8VFtH8ub/auYDG14B1jqDg6mkALWU7ZmOlOW7k/N1srM9JOvCu1cTNS0rpIqVcAiCl/FZKOQjzb1gCf2vB8bMwT9qsn7VhQGYT29pcG8p2PwxUymNSyimYQ8nfA8ta8PkaGs2iGYAaGrePJcAbQgh/xYv3BxqE8ppgD+bcI0u+3+4G78Gc01UBlAghWgO/vsoxVwAThbmwxAF4h5bfCz7EnKO0t4XbN0LxNk0CJiuvrxd3zLluJUIIH+DNButzgciWHkwIMVP8UDhRjPkhb2zmc2sxe7pcMHvlWsoGoJMQYrriIfo55tzPlvAdMIamH/xXOxdNjaOLEGKqMo6fXsM4rsabwAAhxN+FEEGgFth8o+R93sj5u5V8DrwghOgrzLgKISYIIdyFEDFCiBHCXLRVg/lcN3VtNOQIUAm8JoSwF0IMw3ztL21i22XAU0KIjsqkTP0bCiEchFmb0VNJHShr4edraDSLZgBqaNw+/gQcx1w9G4c5+f1qQrV7MD8w9zbzHsy5hD0xJ/ZvAFZd6YBSynjMD/xvMXsdirl6+M+yb5GUcscNGm4ouWjxN3IMzPlzzkABcBjY3GD9B8AMYa5a/bAFx3sAOCKEqMCcm/gLKWVyE9stwhyeywTOKZ/dIhSv7Uzgr5gNoCjgQAv3rZZSbm8m9P5vrnwumhvHe8o4OmK+Nmtb9EWufOzLQH/Mnr14IUQp5sKX40A5N3D+biVSyuOY8wA/wvybSASeUlY7Yv6bFWAO9wYAr7fgmHWYC0TGK/t+DMyRUp5vYttNmP+OO5XPbljkMRtIUcLmL2D29GtoXDfiBu/jGhoaGhr3OEqIMgN4XEq5606PR0ND49ajeQA1NDQ0foQIIcYqcjyOmL1ZgrvEG6ehoXHr0QxADQ0NjR8n/THrEBZgzkubegOV3RoaGvcYWghYQ0NDQ0NDQ+NHhuYB1NDQ0NDQ0ND4kaEZgBoaGhoaGhoaPzLs7vQA7iX8/PxkmzZt7vQwNDQ0NDQ0NDSuyokTJwqklP5NrdMMwGugTZs2HD9+/E4PQ0NDQ0NDQ0PjqgghGrYUVNFCwBoaGhoaGhoaPzLuSgNQabtz2upfmRDiZSHEW0rDe8vyB632+Z0QIlEIcUEIMdZqeS8hRJyy7kOl5yVCCEchxHfK8iNCiDZ34KtqaGhoaGhoaNx27koDUEp5QUrZXUrZHegFVAGrldX/sqyTUm4EEEJ0BB4BOgHjMDdx1yvbfwLMw9xyKUpZD/AMUCylbAf8i5Y19tbQ0NDQ0NDQuOe5Kw3ABowELkspm41jA1OApVLKWqV3ZyLQRwgRDHhIKQ8pvUsXAVOt9lmovF4BjLR4BzU0NDQ0NDQ07mfuBQPwEWCJ1fuXhBBnhBBfCSG8lWWtgXSrbTKUZa2xbXJvWW6zj5TSAJQCvjd/+BoaGhoaGhoadxd3tQEohHAAJgPLlUWfAG2B7kA28E/Lpk3sLq+w/Er7NBzDPCHEcSHE8fz8/JYPXkNDQ0NDQ0PjLuWuNgCB8cBJKWUugJQyV0pplFKagM+BPsp2GUCo1X4hQJayPKSJ5Tb7CCHsAE+gqOEApJSfSSl7Syl7+/s3KaWjoaGhoaGhoXFPcbcbgI9iFf5VcvosTAPOKq/XAo8olb0RmIs9jkops4FyIUQ/Jb9vDrDGap8nldczgJ1Sa4ysoaGhoaGh8SPgrhWCFkK4AKOB560WvyeE6I45VJtiWSeljBdCLAPOAQbgp1JKo7LPT4AFgDOwSfkH8CXwtRAiEbPn75Fb+HU0NDQ0NDQ0NO4ahOb0ajm9e/eWWicQDQ2NHwtSSg5lZPBAq1bY6/VX30FDQ+OuQghxQkrZu6l1d3sIWENDQ0PjDnEwPZ2fb9rE5ydP3umhaGho3GQ0A1BDQ0NDo0l2JCcDsDIhgfzKyjs8Gg0NjZvJXZsDqKGhoaFxZ0kuKcHVwYHy2lq+OnWKzPJynurenZ7BwVffWUND465GMwA1NDQ0NGzIrahgwrffAjA5JobSmhpWJCQgpeRgejrH5827wyPU0NC4UbQQsIaGhoaGDbG5uerrIDc3pnXogHXBYGVd3RX3//DIEaYsXXrLxqehoXHjaAaghoaGhoYN1vl+wW5u9A8JIcDVVV12KieH4urqZvdfFBtLZlnZVQ3FG2V1QgLnrtKhySQlpibULspqa1lz/jxHMjKa2EtD4/5HCwFraGhoaNiQXlYGwMOdOjE4PBy9Tscv+/cnoaCA7+LjeXnzZgA+mzSpUT6gtdGXUlJCp4CAWzLGy0VFvLtvH64ODux56qlmt5u7Zg3eTk68P3YsQgjqjEZOZGXxr8OHSSouBuCNIUOY2r79LRmnhsbdiuYB1NDQ0NAAzLl/6aWlJBQU0DUwkNcGDsTLyQmAkZGRvNSnDx+NH4+rgwMAO5UqYWsuFf3QUTO5pOSWjXV7UhJgNjib8zRml5dzNi+PfWlpHMvKIr20lJc3b+ZnmzaRVFzMbwcNItrXl9Xnz9+ycWpo3K1oHkANDQ0NDQCmffcddUZzE6Xne/VqcptuQUHsevJJXtywgSOZmRhNJkpqavBxdkYC89atU7dNuYoBWFVfj7OdHeZOnddGvFXo99fbtvFsz56NvJGfWAn3v7hhAwD2ej3ezs5Ma9+e6R06kFZaysqEBExSoruOcWho3KtoHkANDQ2NHzEGkwmA6vp61fgDGBgW1uw+OiGY3qEDycXFDFmwgLHffMMXJ0+SUlKi5ttFeHuTrIRYm6LOaGTI/Pm8d+BAo3VV9fUkXCG3L6WkhONZWUyOicFBr+doZibz1q2jwsoTeDwri42XLjG3Rw9CPDzU5T/v04dts2fz4gMPoBOCKB8fag0GkoqL2ZyYyP60tGY/905SYzCw6dIlvjlz5k4PReM+QTMANTQ0NH6E5FdWMnnJEvp98QVxublsuXzZZn17P78r7j86MhKAWoMBgP+dOMHxrCwA3h42jAgvryuGgDOUPMPl586xPy2NL06e5HxBAQB/2ruX2atXU9RMocmy+HjA7KX0VELUgGocmaTk42PH8HB05NmePZk/ZQpvDxtG18BAHoyKsjnWgNBQ7PV6Pjl2jLf37OHLU6eu+L3vBHVGI4+tXMn/7drFvw8fvuXFNRo/DrQQsIaGhsaPkNM5OWSVlwPmjh+ncnKI8fPjtQEDqDYYrhoObSpsa/HmDQ4Pp6Smhp3JyVwqLCTcywuHBr2EU62Mw9/v3EllXR2fHj/Oseee42R2NgCPrlzJH4cPZ39aGhcLC/nP+PHsT0tjWXw8Q8LDCXRz488jRvDR0aOU1dVxNi8PgBXnznEmN5cnu3XDQa/HwdmZCdHRTIiObjRmXxcXBoaGsjslBYC00tKWncAGWGRyriecfTXO5uWRVlqKh6MjZbW1JBUX0yUw8KZ/jsaPC80DqKGhoXEfs/7iRR5evtzG4AJUb1uPoCBWnz9PfF4eg8PC6BYURL+QkBYde/H06bw3ejTHnnvOporWw9GRCdHRCCF4dOVKBnz5pY2OoElKvla8de+OGGHj0TqVk6Man4VVVby4YQPfxsVxPCuLr8+c4c3duwnz9OSlPn3M4w8O5sspU2jv68vZvDzqjEZ2p6TQ2sND3eZqWHIHPZ2cKK2poay2tkX7WfOrrVuZtWJFs+sr6upszsG1cCwzE50QfDJhAoBavayhcSNoBqCGhobGfcynx4+TVFzMothYddmRjAwWKu+f69VLNcD6t9DwsxDj58eIiAiEEPxu0CCe7dmTzydNAsDLyYkILy9125KaGgAuFhby/Lp1nMnNZVJ0NKOUULKFv+7fT15lJb8fPJi3hw2zWffxsWNU1dfz6cSJRHp726wL8fCgoq6ON3ft4nRODgNDQ1vsjRsdGcmDUVH8om9f4IfiFSkli2Jj+dXWrer4G1JvNPLZiRPsSU0lqbiYoupqDqSl8d3Zs6rBd7moiGELFrC1QZi9pVwqKiLcy4soX18c7ey4rBmAGjcBzQDU0NDQuE8xmkzkV1UBcEIJq84/dYqfbtwIwKOdO/NAq1Z0Dggg0tubrjcQVtTrdLzQuzc9rCpxO1tpAC6OiwPgo6NHSSwu5vlevfjD0KHodT88hrycnEgqLsbf1ZUJ0dE2GoLj2rVTX1uLUlsYEREBwLakJOqMRtr5+LR47P6urrwzfLjq+bSISx/LyuLDI0fYnZLCgWaKQ05kZ/PZiRPq+zFff80vNm/m7wcPckgRmbbkVx5TciSvhCXEa01ScTERXl7ohCDS25vzBQVqDqWGxvWiGYAaGhoa9yk7kpMxmkyEeHiQUVZGWW0tX50+DcA306fzywEDEELw2aRJfD1t2k3PX7P27i04fZqi6moOZ2TwUIcOPNerl/p5FiMw2tcXgGd69MBBryfM0xOAmR078trAgVf8rChfXxZMnaq+b2PlfWwpAa6uBLi6qsUshzMy0AmBTgji8/NtOqRYsOQMjoyI4LeDBhHo5qbmO57OyQFQj/f9+fNqfmNz/GzTJh5evpzjWVkcycjgnT17SCstVb2pkV5enMzOZurSpZyxatmnoXGtaEUgGhoaGvchRdXVvL5jBwDTO3TgwyNHeHHDBqrr6/nrqFE2Vb4NCzRuFv1CQni1f3/eP3TIPI7vvsMkJWPatrXZ7utp09iflsaQ8HB2JiczvUMHwCw3c/CZZ7DT6dAJwbxevejdqlWzn9c5IIDF06fz8bFjdPT3v64xj2/XjoWxsRzPymLNhQv0DA5GJwTL4uNZFh/PO8OHMzoyknUXL7IyIQGjyYSbgwN/HTUKIQQzOnZESsnjq1aRkJ/PruRkG0NtdUJCI71CC1JK4pVClhfWr1eXO9vbqwUso9u2ZcOlSwDsSEq6Ia+txo8bzQDU0NDQuA85rIQf/zJyJKMiIzmamaku69u69W0Zg04IHuvShVAPD17ZsoWKujq6BgYS1SA8G+3rq3r/GoZurY3Tec2IU1sT4+fHB+PHX/eYp3fowMLYWNUA+2X//hzOyOBoZiYAf9i1iz/s2mWzjyUP0oIQgs4BAaxKSFDDwL/o25cPjhyh8Ao9lC3hemv+MWYMHfz8CHRzA2BQWBhbZ8/m2bVrya6ouO7vqaGhhYA1NDQ07iPSSkt5aNky/rBrF3qdjmFt2iCEUKt0OwUE4O7oeFvHFKQYLwCfTJhwS6RSbhat3N3V16GenkT5+tpURVvLr7w3ejTvjx3Ln0aMaHScAaGh6uvHunRhdrduzOzYkdjcXJKKixm6YAE7k5M5mJ6uFuhY8vr+++CDavh8cFiYavxZ8HF2JsTDg0xFxkdD43rQPIAaGhoa9xFncnNVyRcpJfaKB21ERAR/GTmSvtdY6XszaK104hgZEYGj3d392BFC8EyPHmSWl/MzRUamrZVXcv6UKfT+7DPgh8KTphgQGsqk6GgyysqY1akTAJNjYlh+7hwvbdxIZV0dr23bpm7/RNeupCv5hCEeHvxpxAheHzzYpkjGmtbu7sTl5SGlvKsNao27l7v7l6ihoaGhcU3kKGHBce3a2YRTdUIwukHu3e3Cxd6etY8+auMJvJv5yQMP2LzXCYG3szN2ijG29tFHMSot9JrDQa/nzQYyNu39/Aj19FQNPWtyKypILS1Fr9MR5OaGXqfD4wqe2jZeXpTX1nImN5f0sjImNiFyraFxJTQDUENDQ+M+4WJhIZ8ePw7QZFjyTmIdWr0XWf/oo+rr6/0uQgie7t6d9w4cYG6PHnx87JhqEF4qKmL9xYv0DApq1utnTQelyOWZtWsBGNamDW4ODtc1Lo0fJ5oBqKGhoXGf8PaePXd6CPctNyt0PTkmhskxMYC5C0uwuzsTv/2Wb86coai6mrcaeA2bI9rXF50QmBSx6RELF/LO8OE2eokaGldCKwLR0NDQuA8oqanhUmEhAD/p3fsOj0ajJfQIDiZI0Q08mZ2Nj7MzfVpYoe1kZ2fTDcUkJR8fO3arhqpxH6J5ADU0NDTuAw6kpWGSkkXTpl23Bp7GncFOp6POaOTvo0ereYYtoaO/P4lFRer7loSONTQsaAaghoaGxj2OwWRicVwc/q6uNgLPGvcG/x43jnP5+XQLCrqm/aa2b4+rvT0R3t6czslh46VLlNTU4OXkdItGqnE/oRmAGhoaGreYv+3fz/CIiBaH9yyczM6mqr6eiro6wjw9m/Xs7UhK4mJhIS/07o1OkwS55+gZHNxsd5Ar0TUwUO0EEuPry8ZLlzickaHlAWq0CM0A1NDQ0LiFFFRVsfzcOZafO8fxefMarTdJ2azR9rNNm6g1GADwcHRk55NP2qyvNxr59Phx1l28iE4InuzW7eZ/AY17gg7+/vi5uLDx0iXNANRoEVrCgIaGhsZNxCQlJTU1vLFzJwfT0zlfUKCue3fvXhKLijiYnk5WeTl/3b+fkYsWcVEp3rCmoq6OWoNBlRwxKtWe1my5fJmFsbEUVVdjshJ91vjxoROCyTExHExPp7y29k4PR+Me4K71AAohUoBywAgYpJS9hRA+wHdAGyAFeFhKWaxs/zvgGWX7n0sptyjLewELAGdgI/ALKaUUQjgCi4BeQCEwS0qZcpu+noaGxn2ISUqeWbuWuNxcwGygzevZU12/+vx5TufmklxcbLPf23v28PW0aTaeQEtbsJf79eNsXh5Lzp5t5C08l5+Pg15PndF4zeFljfuPLgEBAAxfuJCDzzxj00dZQ6Mhd7sHcLiUsruU0qJp8Ftgh5QyCtihvEcI0RF4BOgEjAM+FkJYrvxPgHlAlPJvnLL8GaBYStkO+Bfwt9vwfTQ0NO5jMsrKVOMPzK3Y1l68qL6f062bjfHn4ejI8716caGgoJFRmKZ0iwj18KCNlxf1RiP/OnSIuNxc1l64wPakJBIKCugcEMCuJ5/k/bFjb/G307jbsW5Zdzgj4w6ORONe4K71ADbDFGCY8nohsBv4jbJ8qZSyFkgWQiQCfRQvooeU8hCAEGIRMBXYpOzzlnKsFcBHQgghZRNxFg0NDQ2F0zk5RPv64mJv32idJdz7zfTpOOj1/HTjRrLLy+kZHMyEqCgmx8RwOieHM7m5fDVlCm28vCipqeF/J05wJjeXtj4+HMvMJNjdnR1JSXg6OdHGywtfFxcAlpw9y5KzZ20+87EuXXC/QsswjR8PwW5uONrZUWsw8O/DhxkUFqYVBWk0y91sAEpgqxBCAv+TUn4GBEopswGklNlCiABl29bAYat9M5Rl9crrhsst+6QrxzIIIUoBX6AADQ0NjSbILi/n2bVreTAqineGD2+0/nxBAfZ6PW29vbHX6/lg3Dg+O3GChzt1UkO0bw4dyvakJLoEBCCEwN3BAU8nJ97dt48D6ensTknB0c4OJzs7hoWHY6/X4+PszNvDhrEiIcHGwwhosi8aKkIIDsydy7L4eN47cICs8nJCPDzu9LA07lLuZgNwoJQySzHytgkhzl9h26amOPIKy6+0j+2BhZiHOYRMWFjYlUesoaFxX3MiOxugyaINMBuA7Xx81GKMaF9f/jFmjM024V5ePGOVFyiEwNfZmdKaGnanpABQazBQazDQ2urhPSE6muEREWxJTMROp+NQRgZbL19WZUA0NCxE+/oCkFpSQmt3d4TmBdRogrs2B1BKmaX8nwesBvoAuUKIYADl/zxl8wwg1Gr3ECBLWR7SxHKbfYQQdoAnUEQDpJSfSSl7Syl7+2vq+hoaP2rO5plvOU09UEtqaojNzaW98vC9FixevLeHDSPM01NdHuDqarOdi7090zp0YFJMDH8eOZJdTz6peXg0GmG5hn6xeTNfnzlzh0ejcbdyVxqAQghXIYS75TUwBjgLrAUsQlhPAmuU12uBR4QQjkKICMzFHkeVcHG5EKKfMN+x5zTYx3KsGcBOLf9PQ0PjSmQqlbnJxcWUNZDamH/qFLUGA+Ojoq75uL8dNIgPx49nQnQ0fxg6VF3e0ABsiJb7p9EU3k5ORCh9gi1eZQ2NhtyVBiAQCOwXQsQCR4ENUsrNwF+B0UKIS8Bo5T1SynhgGXAO2Az8VEppVI71E+ALIBG4jLkABOBLwFcpGHkVpaJYQ0NDozkyyssJ9fTEYDKxKznZZt3p3Nzr7ujgYm/PgFBzEMNPKfiAqxuAGhpNIYTguxkzmN21KwkFBVTV13MkI4P/27mTFzdsIKu83Gb7S4WFvL17N3mVlXdoxBp3grsyB1BKmQQ0krSXUhYCI5vZ513g3SaWHwc6N7G8Bph5w4PV0NC4r0kqLiaxqIhRkZFkl5fzeJcurDp/nnP5+Uxp3x4w5+xdKCjg8S5dbvjzfJ2d1detFRFoDY1rRScEwyMi+PrMGf60dy+7U1KoM5r9Iv84eJCJ0dEMb9MGIQTv7N1LQn4+NQYDfxk1qsnj5VVW8smxYzzXq5cqTq5xb3O3egA1NDTucs7k5lJUXX2nh3HLeWnjRl7fsYMvTp7EYDIR4+dHW29vdiQnczQzE4CEggIMJhPdgoJu+POcreRltM4eGjdCl4AARkVGsvXyZeqMRj6dOJGxbduyNzWV17ZtY3FcHCYpuaQUNW1LSuJIE/qBUkrWnD/PuosXeXXLFrRsqfsDzQDU0NC4ZuqMRuauWcPEb7+l3mi8+g73MLXK9/vsxAkABoWFEeXjQ0lNDS9u2MD+tDSeXbsWgM4BAc0e51p4pV8/PnrwwZtyLI0fL0II3h0xgsFhYYxt25buQUGMadtWXf/VqVNcLCzEYDIxIiICgN/v3GkTCq6sq+OhZcv4n3L9JxYVqdXwGvc2mgGooaFxzVgEj+uMRp5ZuxajyXSHR3RzyKus5EKBrRSoq5VH7uV+/XCxt+fpHj0YHRlpXrZ5s7rexyp8eyM83rUr/UJCrr6hhsZV0Ot0/GvcON4dORI7nY6hbdqw5pFHWDh1KlX19fxh1y4AJsfEsGzmTGoMBv5z5Ii6/9bLl9WuNNPat8fNwYE156+kyqZxr6AZgBoaGtfMvtRUAEZHRnIuP/++SR5/fNUqHl+1CikldUYjRpOJnIoK5vboweFnn+WJrl0Bc3HGH0eMsOm1+ou+fe/UsDU0ronWHh50Cgigk78/SUoLwiA3NyK9vRnWpg3HsrKQUlJvNPLfY8fU/Tr6+zOuXTs2JSayV7kHaNy7aAaghobGNVFjMLA4Lo7RkZFMiokBuGcMwIKqKvWB1xTFSk7j4rg4Bn31FaO+/hqTlLT19sZOZ3u7tNPpaKf0Xh0SHq4ahxoa9wrW+abhinZgz+BgCqqqSC8rY8W5c5TU1KjbdA0MVK/zb+Pibu9gNW46d2UVsIaGxt3L6Zwc6oxGJsfEqDIl94IBaJKSOatXk1dZyaToaN4cNqzZbf992NxZsry2llbu7gxX8qMa0t7Pj3P5+Vq3BY17EssV++nEiWrBUe9WrQA4lpnJpsREADY89hjO9vZ4KLqTY9u25Wx+/m0fr8bNRTMANTTuMxaePs25/Hz+Nnq0ukxKyfqLFxkcHo6Xk9MNHf9Mbi5CCLoHBVGv5P7dSgOw1mDAKCUuVt6Ka2HthQvkV1bSPzRUHeeGS5dwd3Tkia5dVSO2YWXjL/v3J9DNjUFhYTahXmtmd+1KTkVFswaihsbdzGsDB/JtXBzdrarXQz088Hd15S/79wPwh6FDCXRzs9kvyM2NLZcvM2T+fJbOmKHJwtyjaCFgDY37gLLaWiYvWcLXsbH85+hRdiQn23SqOJuXx9t79vDnfftu+LMyysoIcHXF2d4edwcHXOztSS8rY9OlSzy8fDnHMjP55ZYtVNfX3/BnAfxq61aGzJ/PxkuXWrS9SUo+PHKEX2/dysPLl/POnj18cvw4CYrHYkJUFCYp+TYujj/t3QuY27g98PnnNscZGBbGiIiIZo0/gFBPTz4cP/66xJ9vJmdyc4nPy7v6hhoaVoR6evKbQYNs0huEEDzbo4f6fmJ0dKP9ghWDr6q+nslLllBWW6t2ydG4d9A8gBoa9zjF1dVcLCwkq7ycD6yq907n5DAkPJy9qakcTE8H4KKi93UjZJSVEar0n7V4AvekprLi3DkAfrJhA2D2vM3q3EiDvUXUGY1su3wZgEOKLtkfdu1id0oKbwwZooaiwGzwHUhL43xBAROjo/nmzBm+i49vdMyVCQk46PX0atWKDYoxackHXJ2Q0Gj7e8WrUVhVxdw15g6Xax99tNG4zxcUcDA9nSe6dr2iMWshvbSUWqNRzW/U+PExrUMHjmVl0TkgAF0TqQ1dGsgdfXT0KKsSEni2Z09e6N37dg1T4wbRDEANjXuY9NJSZixfbiPD0i8khEtFRSw+cwYfZ2de3bJFXZeheOo2JSbydPfu9LhGz5WUkvSyMoaGh6vLhrVpoxqY1vz94EFic3N5e9iwaxY0/u7sWRtj1sPRkbLaWnYmJzM6MpLRbdtiUkK2C06f5mOlUnF3aqpayAHQp3Vr0kpLyamo4GJhIe39/AiyCmflVFTQ+7PP1PcPtGrFpJgYYnNyGhV93C5SSkr4/vx5ftanD/oWjOGwlXBvQn4+rdzdkVKSWV5OsJsbr2zZQn5lJVE+Pgy2+rtZk1ZaSq3BQJSvL9O++w6A98eOZUgz22vc3+iE4K/NdAQBiPHzY9WsWWxPSuLjY8fUfsNfnDzJgNBQugYG3qaRatwImgGooXEPszslxcb4e6F3b6a1b8+C06dZc+ECe6wawT/RtSsns7P5P0X3K6eigmUzr60b4rNr11JcXU2Mr6+6bGr79qSXluLv6kqUj4/qAQSzhtgTXbvS0d//mj7niNJhw8JT3buTUVbGqoQEdiYn08Hfn7d276bOaKTGYFC3s2j4vdKvHw56PROio3Gxt+dfhw6xOC6OcE9P2nh5Nfu5n0ycCMCDUVHXNN6byawVKzAqwrxXe5BKKdljJceRqui1ncrJYd66dQS7u5Ov5D0mFRc3awDOW7eOgqoqpihV3QCvbtnC8XnzbvTraNynhHl6MrdHD76Ni7PpCDR3zRp2PvmkjZde4+5EywHU0LiHOZqZSaS3N3O6dWNM27Y827Mnvi4u+Lu6UlVfz2IrqYYpMTH8ddQotVrVcI3izUXV1cTm5gLYiBTrhOAX/frxWJcu9GrVighvb+b16qWuTykpueqxk4qL2ZKYSGlNDYtiYzmckcGcbt2Y2bEjYO6P+/rgwUR6e7MtKYmpS5dyOieHc/n5JBUXM69XL/40YoR6vO5BQczs1EktHBnXrh0AwyMiCHB1ZfH06fzfkCE2Y3h/7NhrOh+3goq6OtWgP5GVxdKzZ9V2cxZOZWdzSunEsPzcOXYmJwNmbcLEoiIOpKWpof7s8nJ1v8tXkL8pqKoCYM2FCzbL6+7zLi8aN05bb2/AXBFvYX9a2p0ajsY1oHkANTRuIxV1dTjZ2d2U8KJJSs7m5zM6MpKfNxAh9nNxAcwP8F/270//0FDV87V99mw+P3mSpWfPkl1eriZ0N8ey+Hhaubtjr4x5dGQkoYpmWEN0QrBc8Sq29fbmN9u3k1hU1OS2Wy9fxt/FhR7Bwby6ZQsZZWUMCA1Vw8kjIyII9fTEXq9nlNJ1o39ISJM6fj2Cgmw8e1FWHkqADv7+Nl6JGD8/onx9Ka6p4aOjR9Vj32kOWD04tyUlqYbc8XnzMEnJinPneO/AAcB8rv2VCmYwi/RuvXyZrZcvE+ntjYu9Pa09PNQ+r+eake2oNxoRQuDj7ExhVRWt3N2Z0bEjHx45wsXCwpvW3k7j/qRTQAAnsrPNKQZhYXx+8iTpiida4+5G8wBqaNwmzuXnM3zhQpucvOvBJCXL4uM5k5tLeW1tkw9of8UABHi0Sxcb48jTyYlZnToBsO8qM/U6o5H3Dhzg5c2beXP3bgB+NWBAi8Y5MjKSB1q1Yv3Fi016kl7fsYPn1q1jZ3IyGUoFocX4+/PIkXQKCMDD0ZFX+/fH0c48V33xgQeIUDwO1vQMDsbf1ZW2Pj5EeHs3WezQMCSlE4KnundXPaLXmqd4s5FS8uHRozjo9TzZrVujgp2Pjh5VjT8wXwe5FRWAWc6jb+vW6rqk4mJCPDwIUgzEcC8vUkpKbER9LSSXlCCl5Od9+nD0uedY++ijqofXki5gGd+/Dh3itW3bbEJ+Gj9upnfoQI+gIF7o3Zvne/cm3MuLz0+eZPGZM3d6aBpXQTMANTRuE7E5OUgpOZierho818PpnBzeO3CAn2/aBNCkAWjR+msu9y7EwwNXB4erhmetH/QFVVV4OTldU7/bGR07UlRdzeUGXsBaq7y917ZtA1ANuxAPD7XPbkMc7ex4fdAg9f1/xo/ng3Hj1GKJb6ZNY/H06S0eH8DaRx5h0bRp17TPraCwuprcigrm9erFDCX0bUFKycZLlxgSHs6uJ5/Eyc4OLycn/jxyJPvnzuXhTp2Y0r49bwwZov7NuwYGqhXBXZVr5ExuLiYpbfJGF5w+jYNeT4/gYLXiM8rHh47+/hRWVan6iDuTk1kcF8fO5GTGfP31LT8fGvcGIR4efD55sqoV+IwiIbNY6xRy16OFgDU0bhPWocuzeXmEKFIq18KZ3Fxic3IAc0s2VweHJosa2vr48HiXLs3KsAghCHR1ZVl8PKMiI1UduzqjkQFffslvBw1SjTcAB72eOqORtt7e19TxIlIx6pJLSuigGCZ7UlKobKAR+HyvXtQajSQXFzMgNPSKn9E9KIjpHTrg6ehI/9BQm3XX48ULdne/ahj8dmAJ1XYNDCTY3Z1ne/bkVHY2J7KzyauspKi6mmhfX9wdHdk2ezZ6nc7G0+mg1zO1fXv6h4SwMiGB2V27YpG2nterF+suXuTVLVsI9fREJwQrH34YMP9t+rZubSMfI4RgXLt2vH/oEGmlpby6dSupDSYLJTU1NywqrnH/8WBUFOfy81l74QJSymZ/y+mlpRzKyGBKTIzq4de4vWhnXUPjFlNdX09xTQ17UlPpGhhIfH5+I49YSziamcmLSoVtmKcnP+vTh9La2iZ1unRC8Er//lc8XrYSPvz34cMsmjaN8tpatiUlAfDlqVM2BuDwNm3YcvnyFStomyLU0xO9Tqd6GqWU/HLrVnX9pxMnEuntjY+zsypSHdyg60BDhBC8PnjwNY3jbueZNWtIKytDJwRRiv7eC717cyIri+fXr+doZiYmKdXcTucrdEUJdHPjxQceUN//euBAwJz3eKGgQM3Pqjcasdfrya2ooFsT1cYWg/ChZctsln86cSIvrF9PQn5+IwNcQwPM105VfT3bkpIYHRnZpBH4623bSCwqwsvJiTFt296BUWpoBqCGxi1kT0qKjcHzVPfuVNbXc/YaujZU1dfz36NHbbxb/UJCbrj92P8NGcLrO3ZQWF1NWU0No7/+GqMS7rO0R7MYgM/17Mng8PBr7nhhp9MR4uFBsuL9zLSqSgVo5+OjepEe79KFhIICJjTReeB+ps5oVKurB4aG4m6Vq2gpZrHkRlrndl4rn0+axJD589X3L2/ezPtjx1JWW6v+va0Jtyr0CfP05H8TJ1JZX6+O4ZxmAGo0Q6ByPb2+YwdfnDzJ55MmUWs0suD0aZ7s1g1/pWId0DqI3EE0A1DjtpNfWYmfi8s1hRLvRTZcvKgWTliY2r49lXV1/O/ECdJKSwlrpprWQl5lJQ8uXtxo+bA2bW54fGPatqXGYOCdPXvo+dlnGKXEV8nvi8/LY39aGoVVVWSUlfHsunVsnT27SW/j1Yjw8iJZ8QCeV3T6LFiHEMO9vPj6LsjFu91YpFomRUfzEyvPHZgLV4Ld3dmtaP35N2GotRQXe3tmdeqkdkk5lpVFvFIZ3JQBGOHtzeNdupBTUcEfR4zAQa/HklEa7uWl7quh0ZA+rVvj5uBARV0dScXFfH7yJKdycrhQUMDO5GSbPOJL1xEN0bg5aEUgGreVk9nZjF+8mF1WAsX3GwVVVfxp717e3bePSG9vXB0cAPhqyhRc7O1VD9f0775rVJVZr8ySLeLG25WQrDWToqN5oFWrFo8no6xM7ZrRkMmK8G+1wUBhVRUzO3ZUw4Evb95MQn4+VfX1lNTU2HTYuBYivLxILyvDYDKps/1J0dH3XRj3etiflsbSs2cBmNK+fZOGWJ9Wrag3GtEJcV15o9b8csAAPp04kaUzZqiyMoBNdxRrXunfn7+NHt2oqrqTvz8JBQWU1dbyxs6dTUrzFFVXczwrSy0i0fjx4O7oyK4nn+STCRMYGh7O0rNnuVBQQLfAQAqqqrhYWIiTkve39fLlJjsJadx6NANQ47ZRVF3NvHXrgJvTk/ZmUVlXx4msrJt2vM2JiXx//jwA/xgzhl1PPslXU6ao/TOtk+03XbrEhosXqTca2Z6UxI7kZN7YuZMpS5YA5jZf1rInrw0cyJvDhrXYe5pXWcnUpUtVrTsLRdXV5FdWYpKSyTExGJR8sB7Bwfx73Dhe7tfPPL7ERPXhbxELvlY6BQRgNJnYnJhITkUFHo6OvDlsGNM7dLiu490vGEwmXt68meWKEda6mUKUce3a4aDX83CnTjfcXUEnBL1btaKttzeeTk5sVfotRzfQTbwaHfz8yK+s5J09e9icmKgaktb84+BBXli/nk2JiQB8duIEk5cs0QzCHwlCCB5o3dombeTjCRPUCv/XBw9WBeM3Kr25NW4vWghY47aRYBUysjw8JsfEEODq2qiB/e3k9zt3sj8tjR1z5uB5g1WNFpmXUE9PVs+apS5v2NLrg3Hj+MXmzfzz0CEA1l64wInsbCZFR1NcU8NJpdNDYlERvVu1UnPo+l2DWHFScbGqE7coNpb2fn4MCgujoq5ODSs/3KkTrw8eTGxODsezs9mflsawNm0YEh7OV6dOkVVXpxqAhdfpARwSHk6Ypyd/O3CA6vr6Gwpj3k+kKcUYA0JDmRAV1ex5eaB1a/bPnXtd4ffmEELQPySEzYmJBLi6XrNh2UmZzFh6wDYM7dcYDGo3iONZWYxv147PTpwAILeyslmPo8b9R7+QEHRC8GS3bjja2fGXUaN4urCQKB8fhBAkFRdzRsmB1bi9aB5AjduGpeoUzC2n1l64wLNr1zJ5yZLrDi/eDOKUgoz86/RwWXMwPZ2jmZmMvEqBxsCwMPpYCfeeUAw+yzmqMhh4Zs0ajmRm4q1UyQW5uV01ZxDMem2zVqzg4eXL+dfhw+ry13fs4JszZ2zaNC2Lj8dOp6OopoYILy9O5+Tw0saNTP/uOyZFR1NvNKoh7Ov1AOqEoL2fH9WK9IulN+2PHUsS/Et9+jBWaVXXHDfT+LMwr1cv2vv5Neoi0xI6+PmpkzadEJzLz1fTFr47e5ZBX31FVX09zvb27E5JIdfqb97QWNS4v2nr48PBZ57hp336qMuifX3VKEYbLy9yKiqo19oO3nY0A1DjtpFdXo6dTkf3oCAAm7yipnLdbgd7U1MpVfLw8m7QMCmsquIXmzcD2PTCbQ6L2K/eqi2cdShkaXw8NQYDJ3NyeHfECNY++miLxvHatm2qzIwlN+snvXsDZq2504qOoIWfbdxIeW0tHfz8yCovV72PD0ZF0T80VJVluV4DEH4o9nB1cODvo0df93HuJyy6etcqrXOzCPP05Jvp09U+ydeCvV7PJxMm8HK/frw9bBgGk0mtbP/7wYOAuWDllX79KKutZeK336r7HtD6xP7ouFLryzBPT0xSNlII0Lj1aAagxm0ju6KCQDc3OihNw+f16sW+p5/Gx9lZ9cJZKKqu5sJt8BT8WulCAfDzTZt4cPFi9qSk2HRKaCk7kpPV1021IrOw8PRpxn3zDQGurmx+4gl2zJnD7qeeotZobBRm7RIQwLm8PNZdvNgiL9DHx441WjambVue6dmTsW3bcjgzUw3bWTiUkQGYQ5HW/PfYMc4XFPBsz54EuLqqYejrYXbXrjzepQvbZs++Yfma+4Xsigr8XV2veK3czbT28OCJrl0ZHB6OEEKdOFgY3qYN0zt0sJG16RoYyJbLl5stStL48WGJalytK1FTVNfXazmlN4BmAGrcMrLKy3lo2TK14COnooJgRaT2mR49mNa+Pc729nQPCmLjpUs2hRjv7NnD46tW8d8GxQs3k5KamkaGXl5lJb/cupWFsbGAOaevoq6uxccD+GLy5Ga3ScjP5z9Hj1JQVcXnJ07g5+KCm4MDbg4O/KJvX/xcXGjl5sbfRo3izSFDWDVrFp5OTvx1/341ZHglvjp1CjB77waHhQFmQWGAZ3r2xGAyUWXVheP7Rx5RX4+IiKBzQABvDxsG/KA91y8khPZ+fpy/gcKdYHd3Xunf/541dm4FWeXlVxW9vhdwc3Ag2teXU9nZ6rU1IiKCV5RCoreGDlW3nRAVRVV9PY+tXKkl/msA5raD9no938bFsU+RO2oJBVVVDJ4/n7/s399kr3GNq6MZgBq3jO1JSaSWlPAPJSSUrRiAzvb2/OSBB9SCi0mKLMrz69cDUFZbq+apLY6LU3/cJin57MQJvjh5kqTiYnYoYeOKujo1of5aeH3HDhz0eiZGR9O/QXHFx8eOsfjMGaYsXcrwhQspq6296vFyKirwc3FRQ9xNsS0pCTudjr6tW5PRIOThYm+Pv4sLrw8ezEt9+vDaoEG0cndn0bRp1BmNjTx3DbE2EJ3s7Hhz2DCWz5ypzrAjvb2Z07UrXk5OfDZpEmseeYQQDw9md+2qFuIsmDqVCdHRzJ8yRR1TO6UvbLKWrH3TOJ2Tw5nc3Dta/HQz6RkUxJm8PNVrPzE6WhUuH9qmDV9NmcIv+vZV2wEmFhXxh1271LxQjR8vjnZ2dAkI4GR2Nq9s2cIaRUHhalgmqKsSEvhW6zt8XWhVwBq3hHf27GHthQuAWftv6+XL5FdWNtlzdVBYGL2CgzmRnU1FXZ2ao/ZYly58GxfHtsuXGdqmDcMWLFD3+fT4cQCzZImSd7fliSfwbWGnhLzKSo5mZjKvVy+bfL28ykp+vW0b8Xl5NgUUKSUljSp5G5KrhLivxPGsLLoFBtLWx4czeXlqr8zKujreVyqCn+re3WafEA8Ponx9OZqZybM9ezZ77J8obeK8nJx4qU8fPBwdG/VqfaF370Ziwz/v25ef9+1rIy3TJTCQxdOnE+zujk4Ixrdrx6fHjzN3zRoOPvPMdXnyDqWns+bCBf4wdCguV2hldr8ipeRXW7cyODycP+3dC0BHf/+r7HVv0CM4mCVnz7Lu4kUA2lpJF4E59Ns1MJBagwEPR0f8XFxIKi4mPj+f3tegaalxf/LGkCGsOHeO41lZ/GnfPtr5+KiV5s1hXcwWfw2dlTR+QPMAatx0/rBrl2r8WXh9xw6gacFZIQSPd+0KQHJxMadzcrDT6ZjdtSv+rq68vWdPszM8i/EHsKFBSOmbM2eYsWwZCfn5bFa0yACMJpMqg2LJR7QQ4OqqVjOCOY8JzOG6q5FTWam2QGqO7IoKwr28CHR1pbq+nnIlvHzASgi1KY2/8e3asSc1lSe//95mfBaklFQqx/py8uRmZT2aOrYQosnlMX5+6nFae3gwUfHU5lhVc7eU8wUF/GzTJrYnJV1TmOd+IrmkhD2pqarxBzBFEeK+1+kZHIxOCNZeuICzvX2TEz0we3u2z5nDl5MnI4RoVJCk8eMkzNOTV/v356MHH0RKedVWmQaTicMZGUzv0IHWHh7sSkm5IS+gwWQir7KS+Lw8tSjwx8BdaQAKIUKFELuEEAlCiHghxC+U5W8JITKFEKeVfw9a7fM7IUSiEOKCEGKs1fJeQog4Zd2HQnnSCSEchRDfKcuPCCHa3PYveh9iktImt8da26yjvz+9muklG6l4DJJLSojNyaGDvz/+rq4smzEDVwcHVUPsxQbeK2vOFxQgpWRRbCxppaX8+/BhUkpKmL16NW/s3MnxrCyOZmZy2aqYIaKBpwLgIUWg+NX+/Xl7+HDg6v0qLV0uriTTUmswUFxdTZCbm9rxwWJYWvIMLWHxrPJypn/3nVrF+1CHDmSUlbHi3Dn+bGVAWMiuqKDOaOS1gQMJv0VVpZauIdnXUa23PSkJnRDodTqbmfuPCYvosoVDzzyjSuzc63g5OTE0PBww/5avVLCkEwJ3R0faentrBqCGDd5OTjja2dlIhoG52KPIqkAuq7ycqvp6ugUGMqtTJ8BctHatJBcXU1Vfz0/Wr+fBxYt58vvvGb94MQtPn2bp2bP3fYHJ3RoCNgC/lFKeFEK4AyeEEJZyzX9JKf9hvbEQoiPwCNAJaAVsF0JESymNwCfAPOAwsBEYB2wCngGKpZTthBCPAH8DZqFxQyxRZmGvDx5MfmUlg8PDmbN6Nf+bOJFeVwj1tHJ3x0Gv53RODmfz83msc2fA3FJoZEQE358/j16n44muXTmTm8tT3buTWlLC4PBwKurq+OfBg1woLKS4poYPjxzhwyNHGn3GC0qOocWIbO3h0WQO1syOHXmoQwdVnqWVuzunrvCgemv3bo5lZWEwma4o6WHRQgtyc6NrYCBOdnZ8HRvLG0OG8Od9+wDY8NhjAKw4d4600lIWnznD/w0dalMdvPrCBX7erx9+Li5UK1prlnzIgQ0qeW8mFu9tw5vz1UguLmZvaiod/P3xdXa+oWKSe5XFZ87wxcmT+Lu6kl9Zibezs5ojd78wMCyMXSkp2F9B8sMaS/FXfF4ehzIyeLRz5/vGINa4PoQQBLm5kVRcTGlNjTohfn3HDvalpXFg7lwc7exULdEAV1cmREdjMJn48MgRKurqcGvBNWQ0mcipqGDm8uXodTqbYsA6o5H/KMWHQ8LDGz0jpJSU1NTgbdXPeFFsLG28vBiiTILuFe5KD6CUMltKeVJ5XQ4kAK2vsMsUYKmUslZKmQwkAn2EEMGAh5TykDSb8ouAqVb7LFRerwBGWryDGtdHndHIF6dOEentzbh27Xi+d286+vtz7Lnnrmj8gdkr0MbLi7UXLiClZKgSegV4vlcvOgcE8ObQoTjo9fx73Di6BwUxpX17fJydCfP0pFNAAGmlpc1Wyj5vlef38bFjBLm58f2sWU16KoTiqbIwMTqawxkZTFm6tFHS+snsbNZfvKh23LiSAWiROQhycyPQzY2h4eGcyctTW2UBan/Mc0rXlETFA5hUXEyohwc+zs5U1tXx36NH2Xr5MoPnz2dncjLHsrJo6+ND6xvsFXslAl1d0QnBn/buZVl8fIv3m7l8OUnFxQxQqolTS0rUcPWPAZOUfHz8OD2Dg/luxgx+3rcv/xo79uo73mNYcmRjWthWrntQEFX19Tz5/fd8evy4WsGu8eMmyNWVg+npjFy0iFkrVhCfl8c+JWpgKYSziPZbIkwWI23ykiW8vmPHVWWG/n7wIFOWLgVQjb83hgzBx8qoA1Q9VWu+OHmS0V9/beOR/PDIEV7dsoVFsbGNPP13M3elAWiNEprtAVhcOi8JIc4IIb4SQljid60B627SGcqy1srrhstt9pFSGoBSoNGdSwgxTwhxXAhxPN+qlZmGmc9OnGCRIpny2YkTlNfW8mr//jZJ/i21qzsrSb+vDRxoU0nr7+rKgqlTeTAqqtl92/v5IaVsVCk7tX17ls2cyVPdu9uMaUJUVIvHNULRrcssK7MJWe1KTmbSkiUIIZg/ZQqv9Ot3xaT+tRcu4O3srH7Ptj4+ZJeXNxletoR+4/Py+PDIERLy83FzcCDA1ZXcykq+OnWK13fsoN5o5LVt2ziSmUn7Fjx4y2prr1vPT6/T4aycw/cOHGhR95Zaq3zFWZ070z8kBAn8rgU36XuJ/MpKzhcU8Mc9e1Tj3UJuRQW1BgPj27XDw9GROd26qdfA/USktzefTZrU4s4i1r/xVu7uP8pw8LkG+ckaqJXiYDbA/nX4sJqLbJEUs6TO+CtFfxYDsKy2lq2XL9Pn8895bdu2ZiW8mupd3SUggAnKM+azSZMA2NWE8sK3Z88CZuF/wEZW68MjR3h9x44bbipwu7irDUAhhBuwEnhZSlmGOZzbFugOZAP/tGzaxO7yCsuvtI/tAik/k1L2llL29r9PKvZuFkaTic9OnFBd7xsvXWJgaCh9W1/JWds8rw0cyMbHH1c7ZFwLlmb2DW+mvx00iEhvb+z1evY+/TTP9+qFg17PLCXE3BKsKxoPZWQQn5fHQ599xtwvv6SkspJWbm50CQzk8a5dm819klJyKieHIWFhagWtJe9xszJj/HjCBMB8EyuqrlYNz0WxsXx56hTezs481a0b9jodxTU1XCgsJLG4mAuFhWSXlxPVAgPwrd27mbl8ORlXyWlsDutQiXXhSnNYCkbeGT4cLycnugQG8mS3bhxMT29ydn0rOZqZyYLTp22+w9HMzBZJ/DSHSUo2JyYy4dtveWLVKtZcuMD/lAp1C5aH1a30zt4t9AwOxtHu6plFKSUlHM3M5LWBA1k1axbD27QhoaDgR9EOrKKujrzKStZfvMgcJT/5fpoM3SizOnUi0tub6UoazumcHPU3mlxSQlJxsSp4b5nUhzTx29qZnMzbu3fbTEItWHcmsYRtW3t48FKfPmydPZuewcEMDgtj7YULNvdKKSXlyliKlWKRplpb3iuTmbvWABRC2GM2/hZLKVcBSClzpZRGKaUJ+BywNBfMAKyTn0KALGV5SBPLbfYRQtgBnsDtfSLd45ywUv4ftmABeZWV9A8NbbFnrSF2Op1aHHGtBLq6EuXrS1ltLZ0CAtj8xBN8PW1aoxZEz/bsyc4nn2zk6r8SQggOPvMMQ8PD+TYujieXLiU1IYFqo5HA8nIcWlA1VlBVRWlNjWqowg8hs9yKCiZERam9gS0eOkvVrYWRERH8rG9fHoyKIsLLCy9HR0I9PNAJQY3BYGOoNqWvJqVkr1KBu+06wxQWo9Ver+f9Q4dsZr9N8a6S22gteGy54d6M3svXwjt79vDR0aNsUb57bE4OL27YwIiFCxt57VrChosX6fP557yxc6fNdXYoI0N9SABqi6umHlJX4s1du5jw7bcUVVdfdzJ6ZV0dHx092mIx89vFvHXreGfPHibHxBDm6UnXwEDqjEYuFhYSl5vLt3FxGE0mSmtqrupNySov59Pjx+8ZI2r26tU8uHgxb+3erS673gnZ/Yi/qyvLZs7k9cGDWfLQQ+pyVwcHLhQW8sXJk4C5u5DlWePh6MifR46k3mjEaDLxdPfuONrZsSslRb0HWWP5vfo4O/Pe6NGseeQRnOzs0Ot06rPh1f79AZi6dKk6iVtu5Tm0RECs+1yve/RR9Dodr+/YccV7Y2lNzV3xm7wrDUAlF+9LIEFK+b7VcusS0mnAWeX1WuARpbI3AogCjkops4FyIUQ/5ZhzgDVW+zypvJ4B7JT3e8nPTcZSmWtNn+v0/t0oQghe6NWL3q1a8duBA/FzcbEJJYBZ488opZpndy046PW8O3IkMaWlkJnJvJQU/Orq8K6vJ7O09KoP6ONKlxNrL52Ps7N6I/rNoEGAOWRqMUba+fioRuCcbt34zcCBgNlTOqV9e/42ejSbn3iCKB8fwjw9eW37di4XFXEgLY3hCxfyUYMuKgtOn1ZfX+8D5x9jxvDH4cN5f8wYymprOZyR0ey2c1avVtuDhVpVR/spYZsb6S18reRUVKjeyPOKWLF1rs6c1auv+ZifKQ8igI8efJCts2fzyYQJmKRk+MKF5FVWkpCfT3xeHs729leVCLKmqr6eDZcukVtRwZivv1ZllJpDStmkobQnNZUFp0/zzp49Lf9itwFL1xyLgHsXZTJ0JDOTp9es4eebNvHA558zctEiHly8uMkJTXltLTuTk/nV1q18cfIkU5Yuvas7QtQZjfxi0ybSrUTrLQVpl36EhVEtIdLbmzFt22Kn0/HL/v3Jrahg6+XLTG3fnl8onWYsdA0MJLG4mNLaWlzs7RmkFMRtvHTJ5v6cUlJCjcFAqKcnn0+ahJ1O16R3PtTTk7Ft2wLm9p0AX546RTsfH+AHD6DlfrL20UcJdndXP7e5SWVlXR0jFy3i1S1brve03DTu1irggcBsIE4IcVpZ9jrwqBCiO+ZQbQrwPICUMl4IsQw4h7mC+KdKBTDAT4AFgDPm6t9NyvIvga+FEImYPX8/9MTSaBFJxcUMa9NGzbv774MPqh6iO8HQNm1sikesqTcaVe2/Xw8YcE0hYAB27cLpL39hfnExGc7OnOjZEyeTiUcyM1kaFERqaekVC0C+PXuWSG9vujUQk14+cybwQyjjye+/J7GoCEc7O4Lc3Hhr2DDeUlqzWegeFNRkt5Hq+npmrVihvl9w+jQ9goIYqLSE25aURJinJx6OjtdtAAa4ujI+KgqjyYSbgwOHMzLUUDX80DqvzmhUb4D/GDNGNfrgBwPwdubJfH/+PEIIPB0dOZefzweHD7MjOZmO/v7qOOuNxmuqzG3j6UlmWRkrH35Yld5xs/q7WK43D0dHBoSEcCY3lxAPDxtppOY436AP9rakJJ4vKVGvsdicHF7atIlgNze+nDyZUzk5vLplC/8YM4ZhbdpwPCuLstpa1ehNvY5OOTeTy0VFJBQUqBMad0dHSmtqSCkpIdrXlwBXVzoHBPDxsWNU1NVRbTBwqaiIdt7e6HU6ssrLSSwqItrXV5Vu+tfhwzZ6o9nl5RzOyLhrKzFTSkoapU083qULnx4/zsXCQkZGRrL+4kUGhYVxIiuLB1q3blbP827GYDKx8dIlKurqcLKzY7oiq3W9/HH4cN4cOhSjlOpExtLm0pqy2lpV1/W/x47x3wkT8HVxYVl8POMWL2bJQw/h5eTEqoQE9DodX02ebFPJ2xTvjhxJflUVe1JTCffyorCqiqkxMSQVF1NcXU1GWRkLTp+md6tWah7ibwYNYk9qKsnFxU2KnFs6mDTsnX0nuCs9gFLK/VJKIaXsKqXsrvzbKKWcLaXsoiyfrHj4LPu8K6VsK6WMkVJuslp+XErZWVn3ksXLJ6WskVLOlFK2k1L2kVIm3Ynveq9SWlNDWW0tPYODeaJrV+b16kXfBu3U7ibSrQyevx88aFPBZSGrvJxFsbFNe/PeeguKinCQksiQELKHDsXe35/HMjNxratr0huaVV5OYVUVlXV1XCgoYFRkpE11MZhnmRbvWEZZmVrFHOTmdkUtNWteHzy4UQeUdkp/zWOK5zGttJRLRUVMiIoizNOTS0VFVw3fXgm9Tkcnf39WJSTwR0Wo+2xeHkvOnmX4woWsVzpCvDFkCMMaGOUOej0u9vZ8evz4Dfd6PpyRwc7kZD45duyKBuWJrCy6BAQwvl07Tufk8PWZMxRUVfFAq1b8QelVe60GaVFNDQNDQ210Fx30eo48+6zNjb+stpZIHx+eW7eO8YsXtyhUaUl2//3gweoy6zZ8z6xdS3V9PUnFxRzLylJzjizX4a+3beO1bdtYrbTVqqqvbzIX6nbxxOrVvLV7NwYl/9JVmfDsSk6m1mBASsnTSgec0poaWru74+PkpAqlp5WW8vudO5m5fDlSSvIrK23yfdWw3ZYtt9WzfC1YxvXF5Mm8O2IEn0yYgKOdHW28vLhUVERWeTlv7d7NqEWL+M327fz+Kl7fq3EiK4tXt2xp1O/8ViGl5Fx+PhsvXeKdPXt4/9AhVd7qRtDrdDja2dkU8TU1Ac5tIE/10w0b1Al3YVUVX8fG8t+jR/k2Lg47na5JQf2mCPHwoKCqSu3U5OvigpeTE3mVlbyzZw8mKfm/IUPU7f1dXHCxt+dEdjbZ5eWNwsGZVjqqN5J/fDO4Kw1Ajbsby4MHINTDg5f79bNpp3YnSS4uVo0PMHspl8XHqxIs49u1A8zVWkvi4myMvVe2bOHDI0dsfqAAVFRAZSVMnQqbNnHwb39jUX4++qAgWnXqxNCLFzmemkpCfr7ND3rykiWM/eYb9qSmYpLyqq3kLGPsGhjIX0aObPF3nt6hA2sfeYQHo6JYOmMGMzp25O+jRxPl40OcYjQsiYvDUa9navv2jG/XjrLaWlYlJLT4M5rC0qppzYULvH/oEE8pch4A/zl6FJ0QzVZuj1FCK/NPn24yibqlvLRxI69t28aXp07xxKpVzW6XWlpKhJcX0xp4I3q3atVifUMpJTuSktTwZWFVVZOtB/U6Hc/27GnTLs/6O7akejq9tBQXe3umtm/P0eeew93RkUOK56ChhE5JTY1aUHOxsFCtxocfRLuzy8sZ+NVXqmF5OzBJSVZ5OVJKtbijofD5tqQkBn71FdOXLcPF3p4J0dE42dszr2dPugYFMb5dO+qNRhvjN7mkhL/s30+9ycSr/fvz11Gj2PLEE+r6u7VftWXS6efiwth27XhASZeJ8vEhoaCgkVf+aFZWo2Ncjer6evVv/MutW9mbmsrl4mJMVsULt4qvTp1izurVbLC6/wI3VUz5NwMHMq5dO1Uf0JrcJu4j7x86pH7+zpQUVp8/T0ZZGXG5ucxasaJFYxvUwNvo5eREsLs76y5e5GR2Nj/p3dvGqy+EYHibNmxPSmLu2rVsvXxZ9fqBbVOB5mTLbheaAahxzby6ZQvPrVsHXFn37k4wc/ly3tq9W/WyzFu3jvcOHOBQejpCCH43eDB9Wrdm/cWL/PPQIQ5lZLAjKYl/Hz6sPkTf3r37hxuDlGAJMw0cSLmHB4vPnAEwzyBfeIHeRUUUKR1HfrF5MwVVVTbVjP86fJgYP7+r9jy1PCD+NGKETbFIS3C0s+Od4cNp5+PDbwcNItTTk17BwcTm5rI7JYX0sjIivb3xdXGhf2gordzdbdotfXbiBMMXLrziDbGoulr14ACMU4xpa6xnuiEeHs32DH598GA+HD8euP5QSMOxFlVXk1hUxMH0dPVhWlZby4xly8gqLyfcy0utLrTT6XilXz/6h4YSquT/HM3MvOLnnS8o4Dfbt/P+oUN8deoUeZWVzRYT9W7Vim+mT1ffW3ulmvI+NySjrIwQDw+EEOiEYHr79mxLSmJRbCxDrXpig9lYvFBYqLYtbOiNtvY6H2xB5fbN4qOjR5m8ZIlNi8YvTp7kUHo6ZbW1zO3RQ82JTS8t5ZszZyiqqsLX2ZnJ7dvzQKtWHMrIILmkhL8fPKge49UtW9ibmsozPXrwWJcujIqMRAjBekVE/WptxO4Ulr97w2tmYFgY+ZWVNh2UwFxxf60Gwu937uSxlSupMRioVe5BmxMT+ebMGYYvXKhKl9wKLAUSluJAi6RKQVUVdUbjTSnSmdmpE38aMaLJdbkVFeh1On7ety8Brq70Dwkhv6qKasXTl1lWhpuDA+V1dXg7O1NVX6/m8TXEJCWvbtnCxkuXGBERwdHnnlPXeTk5qfeMIDc3/n7wIP+26hsP5jCwi729OvH77fbtrFYm3OllZbT18WH1rFlNejJvJ5oBeJ9zsbCQv+3ff9PCAPVGoxpWhLtL2sLaILD0c7R4a1afP8/4du1wsbfn5X79VMP155s28Zvt2/lGMeoATuXk/BAy/u47eP55APY5ODB84UKOKIbC0927Q/v2jCkoIEjxaMTl5jLum29sQs7F1dU8pBgdV8LiGfJuYnZ7PfzkgQfwdnZm06VLZJWX2yjad/T350xuLvVGI1nl5arXqLmQREVdHWO+/po3d+1Sl0V6e/OPMWMabetkZ0dKSUmTfZ8t6ISgb+vWuNjbcyQzk3P5+decl9jUzfuRFSv4+aZNzF1jrvU6lplJfH4++ZWVapX0C717Y6fTsT05GZOUBLu7M75dO746dUo17pvieyWcejwrS5WhuFLRk7+VdzC3slI1xJp76IDZQ/aXffs4kplpUzX8uFLxaOlwMyIigr1PP02Ury8H0tMpqKqiR3Awn06cqO7zRNeu2Ov1Nv2Gz+Xnk5Cfz56UlKs+kE1SciQj47of3JawtHWBw8ZLl/jZpk34urjwcKdOfDNtGnueeoonunblQHo6hzIymBAVRbSvL4916QKYH7jFNTVqgUdGWRklNTWNqpuD3NzoHBBw1xiAqSUlNvekwqoqnBqEMgG1hd76ixfRCcGRZ5/lqylTAPP1/Od9+xrlhDaHpSgrs6xMnYQuio1Vr5sdyck39qWa4XxBgc0kZ3RkpDpB3JeWxrAFC5i1YkWLvN8twSQln504YdOWMj4/nwgvL+Z068bGxx/nL6NG4ebgQLSvL++PGYPRZCI2NxcPR0fm9exp3icvr8lijeNZWexNTWW70mHJOh3H28mJGiVtwZJjezYvj5+sX6/eFwD6N0iJ+i4+np3JyRzJzKS4upqUkpIWp/ncKjQD8D7GJCVPrFrF8nPnOJ6Vxes7djSaZV4ryUqY0sKdvoCtsfZuHMvKotZgsPFADVCqs6J9fVnx8MP8esAAJjWQWrFwoaAAg8nE5R07SHN2pkKv5zdWIdPJMTH8tE8fcHHBKSKClZs2Md4qVLBUEQt9vlcvBoeF2RRKNEdRdTXO9vaq2PKN4qDXMzQ8nEMZGWQ2MAAnREWRV1nJ9+fP24ROG4W/FSzXzZbLl228CMPatGHj44/Tw2omG+Digk4IMsvKmH/qVLMGhF6nY1y7dqy9cIE5q1fzyjVWxR2/QoisqLqarPJyjEroywRqN5qk4mJqDAbicnM5ojwwfzVgADoh+NyqstdCVnk5RdXVaj5dnmLMbZs9+4oGoJuDAwNDQ5neoQMpxcXqA+FKXph1Fy6wMiEBg8lkc834ODurfbTfGjaM90aPxsXenv4hIWo6RnvFy7z20UcZGh7O3B49OPTMM6quZpinJzuTk5m9ejW/3LqVBadPN/nwMymC6u/u3ctPN27ko6NHm/QM1xmNLIqNVT1bBpOJc/n5GEwmTFKqochjTfydXujVCz8XF/Q6Ha4ODszr1Ust7rDIb7Tz8WFERITqMSuurmZoeDgjIiJwsbfHUa8ntcH9qEtAAOfy829b3ltDymtrmbN6Nb0/+4xJS5bg//e/871y38hvJmXAVRF4B3Nvcr1OpxYzAKxKSLhqFTiYjXuLkWz5bYxv4KW/FcbxxcJCfrF5M64ODvxh6FDa+fjwbM+e6gTwu/h46oxGkouLbYp2boT4vDw+O3GC32zfDpivxdM5OTYatG4ODvysTx8yysqw0+korK6morYWZzs7BitG9ytbtjBn9WpKamqoMRjUyYolPWZvaqpqtFrSVnycnZnbowedAgIwSYmDXs+5/HyOZWXx1alT/HX/fvp8/jlbL1+mf0gI/zdkCN2DgkguKeGDw4dxtrOjoKqKV7ZsueMdkTQD8D5mc2Ki+vD96caNbL18We1xeDWSiovJrajgHwcP8t3Zs+ryWGVW/5uBA1W19LuFPYrGHZh7R765e7d6Q5SYH4AH09OZu2YN6aWlzOrcmckxMTZG4I45c7DT6Xhz927GfP01swIDmd67NwMGDeJcQQHOilt/prVY9ZNP4lhZidGqw4blBvJU9+78a9w4vFrg1Suuqblp3j8LPYODqaqvx9igT/Hg8HC8nZ1ZkZBg4/VrygtXbzTylSJEDY3Ftt0cHJjTrRtgPs+1RiOV9fXsT0/nv8eO8dLGjc0+kK1zBK+1Q8nXZ840WXX+ulI4cTgjgwIlBORiZ6fK/1gXe1gmDZ5OTrzUpw8VdXWq11hKyYdHjjB5yRLGffMNJinVz2vj5XXVCkIhBB+MH8/E6GjqrQy6K3kALROsPw4frkpQWPjrqFG8MWSIzUPdOgxv6S7Syt2df44dq1aQRvv6cnzePB5pUPn+8bFjzFm9utF533r5Mr/aupU1ysN6UWws80+f5nOr3EIw6yp+eOSIOjl4fccO5qxezZbERDLLytQk+4Z5h8PbtGFK+/Y2y1zs7flm2jSWzZxpk9/1x+HDWTZzJiMjIgh0c2NPaiqPdO5MOx8fhBAczczk42PH2JuaipSSHsHB1BgMNhqlt5M4K49SbmUl1QYDP9u8mUdXrmTr5cuEW8khWWPpX2sxYOz1epv7a30LDNqXN29WX1vSGaZanee2Pj42kYnroakCmzd27qTeaGT+lClMjolh6YwZtPXxIVAxAC8XFdHOx4dOAQHstrpH3wiW3uzn8vPJq6zkYmEhdUYj3RqEVKe0b4+zvT3709PRCYFRSrydnOgWGGhTYX0sM5N/HDzIoytXsuHiRbYnJalqBb/YvJnKujrGtm3L/ClT8HVxoaO/Pw936oROCHNRktV5+fzkSZJLSqgyGBjdti1T2rfnsS5dqDcauVxcTLinJzoh8HRyUidvd4q7VQZG4waQUnKhsJC/HzxIl8BAhrdpo4YAWiIrYDSZeLhBk+xZnTuTXV7O3w4cwMfZmRkdO1634POtIr20FA9HR9Wgsbjv8yorKayuprW7O9+dPcuZ3FxWJSQwtm1bJi1ZQpiHB59OnKjm6M1p356v4uOpMRjwra4m2dGRfA8PDCYTVXV1+Lq4UGodKlUe1CGKsTm3Rw+1r+m1yIoUVFVd1ai4Viyeuc5KBaw1bb29OZ6VhU7Jn5rw7beqLpuF9RcvEp+XR0FVFf8aO5a/HzyoPuAWxcby2YkTVNXXc6moiGA3N2oMBmrq63G1t6eyvp78qiqOZmby32PHmmwRFubpSbXBQHZ5OUFublTX17fIA1pVX8+FggLm9ujBI507YzSZsNPpKKquZlr79nxx8iT/OnQIe72eGoMBT0dHpJQIIdSwTbfAQBvvlEWsetSiRfx99Gi8nJzUNoeWidRT3bvzh1278L2Gv5Nl0jQoLAx7vf6K1caXFWml8U0Uz3g5Odk80MFs3D3bsycBrq7N5ltaGBQWxvqLF3mhd29+vkkVSmDjpUtmb7aCdRFVlK8vlwoL1dCWr4sL0zt0oKCqShXUzqmo4ExuLjuV8GJ2RYV6HYd6ejb6Xf5xxIgmIweOdnaNDHpHO7tG+bDfxsWpod//WoXcft63L7M6dcLF3p4tiYkEuLre9hxlizH9zzFjeHXLFjLLy6mur1c9S81N8PopnlzLZPTbuDhOZWer12xLKlYrrfJv96Sm4uHoSPegIBzt7JjVqRMVdXXq3+h6WJWQwJ/37WPpjBmqFl5+ZSVJxcX8vG/fRn87F3t73B0dKa+tpa23N15OTqy7eBEpJcklJYR6eFzT/dEa60nFzOXLVU9aw1acDno9XQMCOJ6VhcFkwtXeHh8XFzwcHXl98GAWx8URl5vLqZwcVRf0TUWg+6MHH2T9xYt8c+YMj61aRWZZGSseflg9dlppKSYpqTUaEcr39XF2NkcIhKDWYOCdPXtIKSlhQlQUtQYDpbW15FRW0tbHh6+nTbvqb/ZWo3kA70PWXrjAE6tWYTSZeGfYMGZ16qSuyywru2rlk2X2bO21SS8t5ScbNgDmWeXdZvxJKUktLW2kswfm0JSPUrZvqfTMrazkgyNHKK6pIaO8nBfWryervJyC3FwqP/yQyzk5pJeW8k5sLNkuLhgwVzxbkvIPpKWRVlpqDn8pnpfnPviA9/V6Xly9mveHDVPzeK5GcXU1v9q6laOZmTbdPG4Gwe7ufPvQQ3wxeXKjm63lwRrq6UmAqyuhHh42N9ai6mre2r2b5efOEeXrS//QUCK8vEguKcFgMvHB4cOcysnhQmEhJinJLC/HYDJRVluLpzLRqKyrY1y7diyKjW3Se+Dt5ERxdTW1RiPpZWVqfuXVOJuXh0lKugcFMb1DB2Z26sS0Dh14pmdPhBA80rkzZ/Pz1ePZ6/Wq5y23ogJPJyf6Kg/dqvp6TmZn23oEsrJYe+ECDno9vx00iJyKCgwmE+PateOnDzygehlbQmppKT7Ozvg4OxPt69usQGyd0UhqSck1a2m+0Lt3i7TWWrm7s2jaNAaEhtoUhmxPTkZKSVltLa/v2MHhjAxmderE4WefZclDD9noUFoqGJOKi9X7SEZZGV/HxuLj7IxOCAqrqlQD82+jRvHXUaNY8tBDvD92LFNiYq5LiN1inA8JD2d3SkqThTS7U1JwtLMjxteXxXFxzFi2jIuFhY0mNbeSy8XF+Dg70185xyEeHtQZjeq5aioEDPBSnz5snzOHKF9fChXJkV0pKXQNDOTZnj0prq6+YvFQUXV1Iy/7kPBw9DodB+bO5ed9+xLi4UFJTU2jauB6pQPLldiRlKRKuliHkS2pLgNCQ6kzGtl46ZJNyofFi9baw4O2Pj5U1dezOyWFh5cvt5mEXCtZ5eU8oFTwW4y/ME/PJsXW+4eGmq9XwMXBgZ5BQQghGBUZyfwpU+gUEMCy+Hiq6uvVdANLKPtxJQ/Vct0fTE8nu7zcfL8rK8PJzg6dEPi5uLD+scf4/pFHmBITQ4SXlzr5OJyRQYiHBzUGA8U1NRRWVTEwNPSOG3+gGYD3JRb3+OLp0wn19MTRzo6ts2fzSr9+1BgMV5W7sHjOrJn23XdklJXRyt1dVa+/m5i3fj3Hs7KI9vXlzyNH8oehQ8kuL8fJzo4AV1eKamr4yYYNqtRKTkUF+5XwnyW8svbCBdZ8/z3ftW5NaGkpIUVF/KF9e1B+4HN79ADMs8r4/Hymf/cdT69ZA0pYx15KhnzyCWzdypDy8qvKvlg4mZ2timm3t8r9uVlE+/o2WYBi8SaNUKpHY3x9SVCSzU1SMubrr8Fk4qnAQOYrxmyEtzcpJSWklZaSVV6OwGx8m6TEzcGB4poayuvqcHFw4NHOnQl2c1Mf+DlW11290ciRjAyzOLOTExFeXpikZMK33/L3AwdsxllVX8/vtm9XUxGyy8vZnJiITgi6KMZ3U3g4OuLl5EQbLy/cHRzUc3ypqIhwT086+vtjkpIFp08zb9063t23Tz1PiUVFbE9O5sGoKDZcuoSHoyOTY2LQCcHTPXpcU1u39NJSdfvugYGczctTE/TzKytZFh9vnsCUlGCSUvWu3EosxsKA0FDSS0vN3zcpSfWCDAgNVc/FhKgo3h87lkA3N1XGxdLNoqO/P/vT0tiVksKoyEiC3Nxs2mVF+fgwKjKSQDc3hoSH83+K5uK18u7Ikbw1bBj/bKLoyMK5/HxqDQbaeHmp4/zZpk1M/+47m2vvVlFnNLI3NZXuQUFsUgyhMW3bEuHtzV9GjuQvI0fynFJ80BAHvV5NE7GeIMTl5akTtStVBC+Lj8ckpU3rtIZ5x5bK1YZpHovj4nhs5Urir5Af+PrOneprS0FKWW0tHxw5Qmt3dwQw4Msv+cOuXTZtJt2V0La/i4s6sbHkATaVG9oSLhUWklFWRrC7O2HKvfenDzzA0hkzmnRMTIiKwsXenoGhofQMCmJCg7xvy6Tbw9GR9Y89xrpHH2WyUjjl7+pqE5F4/9AhJi1ZwgeHD5NRXm6zzlL0VGMwYK/XU1lfz5T27ckqL8dBr6feZEIvBL/o27fJaMidQDMA70MuFhbSPyTEpv2Wj7OzmrB+peR5wMYLE9ogZ+Xf48ZxMD392rW2pIQjR+AWtGqqqKtjeXw8lfX1DAgNZUzbtuxOSVFDihZpkvMFBWr47VhWllpBZjCZkFKyPSmJE4WFBNfU8MWZM4SWllLs4MCAkBAOPP00L/frx2eTJjEyIkL9/pllZbZdFiyGweefQwvDLZb8kUA3t0aaU7eSSG9vvn/kEVXDsUdwMNnl5WavSUkJZGVhvHSJbh99hH1eHoPnz+fT48cpqq7mZxs3UlZXh5eTEyZF583Zzo56Re4h3NOTae3b42hnx9KzZ6kzGm08gJ8cP85PN27kTG4u7oqx6KjMiL88dYrHVq5Uc8v2pqayLSmJ/x47RlltLb0//5zV58/TzscHx2a8SRsuXWJEmzasmDlT1Yj76tQpqurrOZuXR6/gYLoHBeHt5KQWfmSVl/P5pElMa9+e41lZZJaVEe3ry9m8PLXooKi6Wq0wb46jmZn8fscOvo6NZXVCAieys9UHVZSvL3VGozoJe33HDt47cIDLxcVcVsKHN9sL3BTj27XDz8WFF3r3BszyIX87cIBANzeWz5ypFkyBOZdxSHg4EV5eZJaXk1VezqbERBz0ep7v1QudEPi7ujKzY0eb/Mb/jB9/0yIFfi4uTIyORgih5jr+dtAgugYGsmzmTN4dMQKDycTnJ08S4uGBUUrqjEY1/J7SoFjkVnAsM5OSmhqmxMSwND6ejv7+vPjAA9jrdKSUljK6bdsrpjfsTknh/UOHOF9QgBBC7ZpiNJnQCdFIagTMky+DycSxzEw6+PsT5evLuyNGEOntreYT7kxOZsayZXgp3i2LAbg/LY3RX3/NCsVgb65CuFrJIX6ia1eGhoez4tw59qSk8M+DB8muqCCxqIj5Vm0mf79zJ7/aupU6o1Gt5G7r46MagPvS0tRtmxKjL6+tbTZKlVdZyaMrV1JUXU0rd3fmdOvGw5068XCnTs161Lydndn4+ON8N2MG382c2ahTjEWKxcfZGQe9nmCrYjlALdCxzhV/e88eYnNycLO3R6/TYa/Xs+D0aXIrKkguKcHTyQkpJXY6HRV1dUxdupT8qirqTSba3oYJXkvRDMD7DCklKSUlTV5kbX188HVxsemB2hCDyUR2eTkzOnZkXq9eLJ4+3UaryMfZWZXZSCstZerSpeRUVHAgLe3KoeVTp+CnP4V///tGvl6T/Hb7dupNJlq7u7M3NZWFp09TUFWFg50dAW5uam5MsVLpBVBnMFBtMGCv01FVX09WRQWbExM5VFuLT309ncrLaVNVBT4+/G7YMEI8PXHQ6+kZHKx6tLoEBuJib8/C2Fj46itYuRKUqjSOH4cPPmjR+HMrKnDQ61n/6KM2lbo3ixNZWXwbF9fkuhCrPJxx7dqhE4LdKSmcTUqC0lLCKyt5pXNnhr//PvWXL+Nqb09RdTUH09MxSUlxTQ3Bbm609fGhd6tW5jCLvT1hnp6Mj4rij8OHY6fT2RiAf963T82t263IkXTw91eNpDolJGWpPrWE8Cz9cUtqasivrKSVuzv9vviCHQ081lWKUHm/kBD6h4YS4uHBz/v2JaeigkdWrCC9rIxvz57FzcEBRzs7UoqLVSM4QckrNElJbmUl/z58WL2uLxcVMebrr5m5fPkVz/eLGzaw5fJlPjhyRG1Eb3kYW3thpJScU7wpj6xYwRuKlyWsmUKBm8nbw4ez8fHHVW9jUnEx3QMD+d/EiUR4ezdpuLVydyezvJw3du7kdE4O7f38GBgWxqbHH2fdo48S4e2t9uz99YAB9LcyIm8mfx45kpf69OGhDh34asoUIr291c9acPq0+hsvqalRvfuZN1j80BIOpKf/0NmjsJBRkZGEeHgwMDSU78+fR0qpdj5pil9t3cq3cXFsTEwk3NOTX/bvj51Ox760NKZ36MDFwkIesWr1CGbPX78vviA2N5cHlBzmse3asWzmTBzt7JBS8qe9e0kpKVEr3tPLyvjb/v3858gRMsvKVG/uhWakZiwGY0d/fx5VDLp569axSJFMcrKzY3Niok3qwu6UFD46epRRkZFsevxxegYHN5l/PnXpUpv3B9PTGb5wIYea6TFuXbDUIyiIfiEhvDZwIK6Kp7Ep6oxGHPR6hBCU1dY2SsGYEBXFpOhofqlUnzfkb6NGMb1DB36iRL5MUlJvMpFTUUGYpyet3d15rmdPzuTmMuHbbympqWGk4n39Vuk4dDY/H3udDh8nJzZcvHjHqtQbohmA9xEmxfirMxrVnBlrdELwaOfO7EpJ4dEVKyiqrub78+dtbkg5FRWYpKSjvz/zevXCxd7exl29LD5efb3i3Dkyysp4fv16frF5c/MSM1LCwoXKTivM7w8fNmvsrV4NzSnUSwkmE2zZAv/4R5Pfd0dSElsSE/F1dsbD0ZGFsbH85+hRzuXnM6NDBx6JiKCkpgYXe3sEUFhdzR+HD8fd0RFnOzse79KFME9PfJyckECR0cgADw8+/Nvf2N+9O69MmqQK7FoYFRkJwNvDhtG7VStic3Oha1cIDwedjv9GRrIuMBBa6CXNqagg0M3tluVVPr9+Pe8fOqRWRDeHh6MjrT08SCouZsPZs5Ta2ZGueA2qjEaorsYd83mvNhjU4/173Dge6dSJ5JIS7HQ6ao1GtZVd35AQ9EJQbzJRUFXFxcJCmw4kFkMw2M2Nhzp0oJW7O4PDw5nRsaNa3Zei5BxmV1SwUSlQKK6pUfOWfrN9u02njU+PH1crQi30UyRYMsvKKK2pobKujqzycnIqKmjr48PT3bujE4KCqiqC3d15tHNnPB0d1d/GiIgI1Vgrqq620Z9rSMMCh98MHKgWdVhCwX/au5e9qalNGgPXmxh/LeiUXFZrr8nVQtshHh6U1tQQrzxALbmBvi4uarjYMjmaYV0lf5Np5e7OU9272/xePBwd1ZQLS8FbjcGgCpdnlJVd9fq/EYqqq1lx7hy9g4PViIAlPWFgWBh5lZXsSknh19u28U+lpZg11kUe6UpfcXdHR6Z36MCWy5dVrcDEBi0cVynSRO18fHiia9dGxz2UkaEW3+xNTSXIzY29KSksi49nY2IiqaWlJBYXYzCZGkl8WbBIrYR5etK7VSsmREWRU1lJXmUlga6ueCih6z6tW9M1MJBIb286+vurkSbrLhmWvs7/UUTgi6qr1ap7QPVGHm5gAFq+g2Uy+MmECaqskzX1RiPPrl3L/rQ0Kuvq+OmGDQz48kumLl2KlJI/79vHnNWr1RQBy5jeHDas2QlLOx8fXh88mABXV17t35+fKoZgez8/agwGNT3Iusreci062tnh6+yMg05HjJ8fwe7u7EpJUQuo7jSaAXgf8cXJk6p3whKas6G2lrE1NWSUlbH24kWGLVjAn/bu5QPlhgk/zJQtD4Izubk4Kzd1T0dHmy4Dxgaz64aJxDUGA/NPnaL69Gmw5HXV15tDoy+9BH//O7z7Lmzd2vjLFBbC00/D3Lnw+9/D0qXmVmxW/OPgQZ5Zu5Zc5UYU7O6OlFIdV3tXV8rff59oRQIl2N2dqvp6EouKGNamDUPbtKFncDCu9vZ8M30609q3Z2RJCXPd3cmtqUHn6kpKaWkjw6xvSAjHnnuOME9POvn7k1pSQkVdHSYpWXvhAvOHD+ft3r1Jauh1yM+HJsr+LeO/1Vwpx8dChJcXcXl5rMzIoNLODtG2LVhV1r1cW6uGfO11Onq3asWkmBhzNwbMhlyoh4dq2Hg7OeHq4IDRZCK1pITHVq5s8nNDPDz4v6FDGRMZSXxeHsHu7lTU1TFj2TKOZ2UhMIf6VyrGY5iHB2dyc1VDzJLfB+aHR8/gYNUjAuY8yAGhocTl5akdEqxTIQoUjTaLlzK9rIxhbdrwt9GjeXvYMCK9vc1eO2X7hu2urGmYb2kteWJJMs+rrOT9w4cJcnPjW6u8rTupq/nAVTrVWLzTRpOJF3r3btJT+c306fxr7NhGPa9vB19Ongz8YECbpEQAMX5+LIyNpe/nn7OpBTqoRzMz+d327S3q2GLhlS1bMEnJwLAwNdxs0TW0RFCWK5NnS66YNZYuRJa8XIvxGOPri9FkUouqwFx4MWXJElaeO8floiJ+0rs3S2fMaFJq6uNjx2jt4cHP+vThYmEhLvb27E1LI1nJN7VUs+dXVZFXWdmoUKveaCSzvJy2Pj7EKLmIbg4OGEwm/JTCpl8PGACYIwhfTZnCdzNm0NHfv1HeZZ3RSJ3BQKCrK/1CQtSOHk99/72aVmFJIUgtKeG9Awd4bOVKFp4+zYiFC/n11q0sP3cOJzu7ZrsqZZSVcTonh5c3b2ZRbKyazmRRgrB4/2atWMGvt25t0T3Rmse6dMFBr8fH2ZmKujryqqp+kIuxcpT4ODvz8YQJLJg6VdW6fNTKQLzTLeAsaAbgfcD+tDTyKittSvxf3bKF/9u5EynlD96KNWsIfuklnJWHs+UG978TJ+j92Wc8+f337ElNRSeEmoc0d80aHl25kt6tWjW6qVs8AZhMkJ/P4tOnWack+G67fJmXNm7kv8eOscmSFN6xIzg7g1UpPQAJCfDxx1SdPk3RmDGU79xJwQcfwNmz5n8WMjJAuXlW1dez9OxZymprCXR1JczLi76tWpFaWsrFoiKzByg5mTMeHnjl57Ns6lT+MXo0c7t0Yd2ZM5zLzyfax4fZ3bqx4uGH6eHrS5f4eM7Y2/O4iwv7lTyV1efPN1m9ajEKLUUbh9LTGfvNN7yzZw/o9eDoyMPR0VzMzia1pIQNJ05gGj8efvnLRsfKqai4ZQagtafq+fXrr7p9ez8/cisqkCYT3nV1YG/PkJ49QZGQcd+wAR+DATujkanAzjlz0AmhzsZbubszpm1bzirXhhCCNl5e1BgMLFbC0K09PFg8fTpvKA3UPRwd1VzTJ7t3B8xevOKaGnIqK8mtrKS4poYgV1dzDo23Nz954AHqTSZzIYoQHMvKos5opMZgILmkhM4BAY0M91bu7hilxEGnI7GoSPUmgjn/z8/KAEwqLqadUsAwITqaEA8Pao1GtXjj7wcP8vbu3WoVpIWGk669Tz9t42UTQvDJhAmAeeI0pm1bIqykShY2mOTcDhZOncr/Jk68qtHWukEnmaZo4+WliuzeboQQrJo1S9XUc9TrsVfExi8UFlJrNNq0pWuKCwUFvLhhg9p2ryWU19YSn5eHs709k6KjSS4uxtPJSTXI2impN5aih6a67VxSDIKnundnxcMPq7lzlk5LFfX1PKMUob21ezfbk5PVKtrm8obLams5X1DA9PbteaRzZ/xcXEjIz6eyro5aoxG9UtwG5tSf6vp6hsyfb9O5JbmkBKPJxDM9eqi/J0thR9egIN4bPZoHo6LYPmeOmpsphCDQ1ZWy2lrmrVvHwtOnWZWQQFxuLnqdDr1OR3ZFhRpZySgrY2FsLLE5Oaonf19aGh8fO0Z8Xp7qoNiVksKOpCQ6+Pk1Gy2xLnA5kplJkJubKiyeVlqqGpjV9fXsSknhS0Wu62qklZYyc/lyc7eguDg6+PkhlUpgS7TNXq/ny8mTCVQ60vRp3ZrOAQGqCod1Uc72pKS7IgysGYD3ECYp+cOuXTaei5KaGl7evJnn168nv6qKhIICMsvLsdfr2XL5Mo+vWsWwBQsoqq6mKCODRBcXQgoLcamtpbS2lqzycnKVmVp8Xh7L4uPp27o1nk5ONv1sj2dl2c6IpeTshQvmMG1VFQ8kJkJqKp8quly/27KFVcePQ309yRZD8X//g1de+eEYEyZARAQsWwZffcVj//sfYzp1YvjmzcxteJO05CH+5z9QXs5pRX4kwNUVTycnjCYT7o6OtHZ3J8TDg+EREQSePs15NzfG5+Tg/803xPj5MWvXLorOnSOvooIoX18c9Hpzuf6bbzJeycFKUjyeFi9o+hVkJCx5L7/bscO2zZGS7H05KYkZy5fzhx07+CgiAnnmDHFZWfT+7DOSiosxKqHRQDc3MBjgJivDW9/MTVLygmIEVtfX24RBLMzp1o05rVvTPSeHTsCW2bPNlZv29uDoyMudOpFdU4OdlLx64YJqNLjY2/PPMWNYOmMGXQICSC8tVR90T3TtiruDA4XV1Ril5PlevYjx82Nq+/ZsfPxxvn/kEfXz+7RuzeOKaKqdkp+ZV1mJg17P64MH42xnh5+LCzkVFZTU1GCvVE/uTE5m8Pz5DPrqK6SUTeq/WYp+Ovj7Y6fTscIqFL3mwgV8nZ0pVIo88qxax+VVVlJZV0ed0WhTobvu4kX+cfAgz61dy2Vl0vHKxo3UpaXxoq8v/xwzplHbL8BGrLa9nx/2ej2v9u/PF5Mn06EZw+pW0ikgoMlwWkOirPT4elqF1+8mwjw9+d/EiQS6uuLu6IiDnR3v7d8PmL1ZTU3mrLFMaiO9vTmckdEiCRlLvtp/H3wQZ3t7UkpKbIx6nRAMszKKC6urG4Wjzysi863c3Wnj5aV6MS1G9+qEBCbHxKhyPWCeBEf7+vLBkSPsayCwXFRdzcRvvwXMHlBHOztCPDxwtLPDz9VV9bjrhGBWp06EeXhQpFz3X1u1Q9ydkkJuZaWae5dWWsq3Z88S5unJawMGqEZNQ++jRQT6ZHY2/zl6lH8fPmzj+Tybl2dTwHU2L49n1q4lp6KCqe3bk1pSQn5VFYnFxeoktt5kosZovGL3HWsD8GxeHjG+vqqBvO7CBTVHFcw58UczM22ec82x9sIFkouL+fjYMQqqqpgQFaUaodae8G5BQWx47DGbfMdX+vdn/pQpdA8KYvnMmbw2cCBZ5eV8cOTITemPfCNoBuA9xMnsbDZeuqTqMQGsVLxr6aWlnM7JwcnODnudDr1ycV5MSoLz5zm8dSsTS0t5REl2d6qtxUOnw1VKZG0ttUVFoMyOLLlTTcnFzOnWjS1PPIGuuBhycnhu61bWHjvGJ3FxjM7IoDwujhc3bEAWFVEnJZSUcPbiRb4ND6fG3h6mTYMlS2DXLnj7bbNXEKgXggzLTaS+nqy6OqoefJBzbm5s9/ODjz4ib/p0Zufl8cf583lcCSVaHrBdAwM5nJmJvV6Pu4MDL1VUcHrvXir1ejpUVPCHxESeWLWKLpZQtMFA9L59EBsLlZWwbRtdy8vZcOQIfxk6lCUPPcSfR44Emu6OYaFhv1spJWGenrQLCEACv9u9m3P5+VTX17MoJIR9Pj58ohia+9PSVD27ICFg+nRz32Epf6iWTkszL79OAVeLZ+GPw4cDZkO+pKaG59evZ/Knn2J68kkwGCirrSUhPx8nnY65H35IsYMDnRXPhaeSL9m1QwfsLTcsIYi4fBms8oaGtmlDmKenWkVnediOjoxUZ8HJxcU2nqQAV9dGyeGdFE+CvU6Hs52dKiRbazRiVIpCLLlCDno9JmUmbT2jHmzlFZFSsig2lu/i49EJwRtDhtDR359ao5EvlKruQxkZBLu5kZiVxc8WLADMv4P/Hj1Kh//+l3f37cNgMuHm4MDrgwfz/tixvDZwIGCWXZq1YgUvbtjAgfh4AvLzmbN9O0Mb5I5asCSkg1kmBcyhpTvdGP5q2Ol0/Gf8eN4YMuS6tPxuF50CAtg6e7ZZINvFBXu9Hjd7e4Ld3W16xzZFdnk5djodA0JDSSwqYvp336lhwqLqal7auLGRkPfB9HQ8nZzoHBBAXmUlp3JyGk1AnunZkyhfX6Z36KD2kDWYTLyzZw8fHT3KhkuX6Ne6daMUgEA3N0ZERLAtKYnLxcXUGY24OzjQyt2dOpOJse3acTQzkz/u3Wuz35K4ODVX0CIjYwnxO9vZMSEqil8PGMCBuXPpFxKCBPRKpwxL6FZKyaqEBOqMRj4/eZJl8fH8ZMMGqhSh94YKEdZENPj+VfX1fHL8uJoC8fqOHSw+c0atdN6bmqp+boSXF9ZmUZ3RyD/GjFF7azcnlRWbk8M/Dx3Cxd5e9frVm0y0cnfH39WVdYrH32KsPta5MzUGwxXDsVJK3ty1iwVWVc7wQx44NFbKaIhOCLooOYER3t7M7NiR6R068G1cHCeuUwrnZqEZgPcQlrZV7soDs6Smhs8UCYvS2lpqDAb6K5WPQgi+nDQJXXY2SMm/t22jrroaHB3By4vfXbpEsF6Pa3U1mEyUFxerRobF82Hps/nl5Mn8bdQoPp4wgZ/37YuviwtPKOsGFhXRSgmr+NbVUVVXx9G0NGqMRiTgWFVFnKMj77dtyzdnzoAQEBUF7u7kVVbyoqcni1u3NhdNNOBtBwdmDxzIbzt04PPCQvq6unLMx4c1ycmU1dQggBPz5vHF5Mn8btAgClNTaaXcrJP/9z8e6dWLTG9vOnh5ccbODsrKOOPpiavRCHV1RC9dCs88A5bWZm++SeBbbzG6d2+ifH2J8vEx97S9wkNDCMELvXurulFltbXmMHRNDckeHmRUVkJNDQHKrP3VTp04qngM4nJzefL77wEISkiArCyIi4N//Qv69jWHvz/80GwENrjBt5S43Fy8nJxspA9ic3LMuTD5+eQkJmJU+mHOXr2a0nPnWODuDl5etBo5kslLlvD7nTupNhg4U1WFTvk7d7O3x7u+HpronWu5wVo8okIIwry8CPf0xE6nu6qE0OjISL6bMYPtc+ao+XqdAwJYcPo0dko+jVEJBbd2d6dc8RAMCA3lxQceYM9TT6mdKGoMBn61dSv/PHSIyvp6/F1cmBwTw9wePYj09ibSx4dwLy9Ka2p4oHVrzubmsjIzE5/qavT19fzfrl3UGAxU19fjqtcTm5REv5AQhoSH83CnTmx54gnVK3gsKwuH2lrWHjuG3VUMpG+mTeOhDh0Iv82dKm6U/qGhjbqR3I208/HhVwMG8JdRo+jTujUxfn6kl5YSr0zGmmJVQgLzT58myM3NpqLV8vvfnJjI4YwMvmxwzScVF9Pe1xedEGpf7YYpHQGurix56CG1G09mWRlJSm/cBadPU2c0MtNKsN+CTgjeHTECvU5HXG4uvxs8mEA3N/4xejShHh5qh5ZQDw+klPznyBGeXbuW+adPE+bpyYfjx6tG1zM9e6r9bC33eEc7O1VQeWbHjjjq9WpkIL+qityKCtyUSfZ7Bw6o0aKxbdtesctKB39//qBoPlobtTM6dlTlVD44coQYX18GhoWRXlZGcU0NBpMJRzs7whVxer0QGEwmhrVpQ2t3d+yvkKbwzNq1gHlSPqNjR0ZFRvJMjx7Y6XS8puQpAiybOZPPJk1SPYnxzQiz1xoMvL1nj5o2YN1koIO/vzrRvVbZJiEEvxs0iK+mTOGBK3gzbweaAXgPYfFEJRcX8+auXYxatAijycT7Y8eqN7U3hw5l/pQpfDJhAt327eOz06d5tLSUInt7cwGGkxMEBjIrK4s3XFywMxpxMpmIKS/nw7Nn8Tlzhm5CkFVezitbtgDmGeTIyEgb1/vPYmNZ4+5OZ6t8Pi9LFVVSEkUGA3opyTAYqNHpICSkUe7Lh0eOcNRkYmFoKNv8/fGpr8fezY03Ll2iXgg+kpKSgACIjua1bdtIKy0lVTEuSmtrMZhM1JtMdA8KoqqoiKL0dAacPUtleTlvR0dT5elJpZ0dCVOm4FFbCwUFnPD05IvYWOZJib8l3GrJUezTB6yEZu31egLd3K4qIfFsz578YehQvpg8mfFRUQjMN706R0eq9XrsTCZ6pKTwan29OZSqKMmvPn+e5JISJkVH0+fMGXNHkYgIUEI3HDtmznsEuIrnoim+OnWKTYmJjIiIwNXBgX1PP40A/mbxgtrZkejqyr/j4tRr68t9+1gQGgp+fgxp146s8nK2KTIrHsoM/MKuXRyYMgU7R0ewKgqyYHngWGvCzenWjS8mT6Z/aCi/2raNJXFxnM3L42hmptq31IIQgrY+Pjjo9UR6eeHq4ECt0Uid0civBgzAJKWaG9indWsKq6sxSUmohwdze/SwkYT4/vx51ly4QFZZmTkE3rs3djodkd7e2Ot0ZJeX460UTMXn5eFiNOJqNPKntWv549tvqwZoUU0Nwbm52GVk2BQS+Lq48OsBA9TWgF8r4XGakbGwEOPnx+8GD77uoo+43FyOtbBrSktILi5Wi7iklE2mB9yLjGvXjk8nTlRD7dUGQ5NyJwaTSY2sBLu5MTgsTJ00WTzZlr9Vw17OORUVqjFgSZNpLi8vwtvb3J0jPV09xx+OH8/6Rx9tNrRpr9cT6OpKTkUFaUpbvckxMczs2FEtDjmbn8+za9eyMDZWDbWOa9fORs/RTqfjtYED+fWAATynRILA7Ole/9hjPNypE/Y6HUnFxWy8dInVCQmU1tbiZJXG4OviwjvDh6sFHFdickwMY9u2ZUh4OPOnTOG/Dz7IvF69eGPIEFbNmoVJSv556JBNZ5LuQUG08fREr9OZczj1esI8PTEqsituDg5qIZg1lVapM0YpcdDr+euoUWq6hUUF4Mlu3fBxdqZncDBBbm74ODvbdDaxIKVk1ooVrL94EUc7O3ycnfntoEHqep0QLJ4+nR1z5tj0rm4pQogWNwq4lWgG4D2E5SFt0UOz0MHPj/4hIbTx9KRncDAuJSU84OsLH3xA9+pqnvnrXwFwMRqZ3qkTrw0ejK+nJ1MvX6ZNVRVDq6oodHZmt68vWw4fpuT8ebYoXrGO/v6NxUsrKhD5+bRu29bszQPK9Xq8nn4agBqTCbeaGlyNRlyMRort7UFp+WXBJKU5d8bNjSIvLy60bcvgwkIOSUnH//2PDv37Y29vT4yfH06OjpQpP3BvV1f6Kvkofi4upObkwIcfcklphD6gqIjMigqOeXlRBrg5OnLa25scJyeoreWbNm3Ic3CgLD2dlzt1wiAE7N5tFnBuoqtEa0X7zGgyYZKy2XBwakkJ/zx0iIPp6cQoIQohBMLBgRlZWRzz9mZwt27g4wNVVZTk5ZGthIFmtm/PG4WFPNavHx9PnUqdxSjIzgZLbs+CBWYDvoUkFhXx8bFj9AwO5lml+4CzvT2OdnZqgQsGA6926sTfq6tVA+bblBRwdCQyIIAsqxSAn/TuzZYnnmBVSQnOJhMiIsIsfdOEB9DS79Q6Z9TJzo4BoaFqNe/Lmzfz1Pff8+KGDby4YUOTuVbnCwqw1+sJ9/TkYHo6ep2O3w4cqD4wXOzsmBITg4eDA/1CQmweahbO5edTZzRSbTAQ4u6u6v1ZErd/t2OH6i386MgR/Orq8K+rY9oDD7AuKMhc4ATUVFURVl1N65oaknJzMSnelstFRfx1/34q6+oI8/QkQrk2ZVYW0mCAnTth3Diz5NFN5Ll16/hJM+ftepi5fDmPrVzJ8vh4vjp1islLlrC3QV7ZvcxfR41ieJs2CMzFUCezs9VzdyY3l35ffKFuO7NTJ7ydnfnnmDHY6/WsvXABk5Rq6DfXKgRcazBQVF1NsCI6D+bfSnO5nF5OToyJjGTdxYvq53cOCLCRSmmKQFdXcisrya2oIEiRjPrjiBFsnT2byTExGE0msxyVFZaikYafP6tz5yZFk9soodeCqiqeX7eO/x47RkVdHc52dng4OvKkkv7zoFX+29X404gRvDd6NF0CA+mrGGF6nc4mb85aP7awupoixcC21+vRC0Gd0UjfL76gsLqa/iEhnFB6JG+4eJFXNm+mzmi0CeM2ldPnbG/P/rlzecmq57VFVLwpD2CxopYxMiKCA3PnsnX2bNXTb0lZ8XB0vC7j727i7k3k0FA5X1CA0WQis7ychzt1UrX4JkRFEePnh5+LC/UmE1Patzfn/o0fD76+Zn2911/HKyCADx95hNCQEEIts8xJk2D+fFYAJTNn8vvgYFaZTATV1PDy0aP4enhgJ0TTrYuSk0l1dua1qipiDAZqO3Rgh58fDxUXQ2AgyZWVhFdX42Ay4Wo04qA8ROPz89Xm5pcKCymtqaFn69YckZJCg4HoykoYM4ZP4uJILC7Gw9GRjLIycioqsNPp8HB0xACUe3nhKCU+zs4kv/ceUQcOcCkkBCIiCKitxbmujgqdDg8HB9r5+rImORmCguh18SIn/Pz4haUc38eHAz4+DD1xAiIjMSqyEdZemdbu7qy5cIG+X3xBpLc3ScXFrHz44Uahuy2XL5OQn0+Ypyd/GzUKR72ex1etIsLbm6dTUnjJ0ZGssWNh82aMpaX4VFXhGBJCZlkZv127lixPT3B15WJlJU7vvcfcL78EJZyksm0bPPggUkr2paXRPyQEe72eE1lZ5FVWqlpzJinN1ciYc/8CGjxcjIpUjslgoNzennIpCbSzI6KmhuS6OiqDg/FxduZ9Ra/shd69matUAYZ9+KHZY+ruDr17w/+zd97hUZXp3/+cqUkmvfdK771LL1JEBFEBBcXeV113dYuuu65rb69rwd5AaQoi0gSk995CCJDe26RPO+8fzzknMykkILjrb/1e11xJJpnJyeTMee7nvr/l7bdFp9ItHlAdAb+4fTvXdOjgsYFwVx2641hhYRNbkdTiYgw6HWOSklibni5GQHo9lfX1+BiNhPj4UOd0otfpGJuc3KwNxjHF9sWk1xPu66uN5lReVH5VFUGKa392WZlQqZtM4HAguVxE6vX4WiykFRVhcTqJqK/nbGEhh/Lz+XT3bo6sXUu500m0xcINXbuiW7ECFzBwyBDu/Okn7vrjH8WBvPQSjB7tYalzqahUut8gNoWX0zj6he3bNRubPTk5TVIT/lPYlZ1NclBQk3O5rQj29ua9a67hdEkJRwsLueu77wDYd9dd/ORmIfTV9ddrC70kSdiV4uK5rVu1jUdaSQlOlwu9TqeNh0N9fDSOmbtYpjmMSEzkhzNnWJuejq/JpKlqL4QIX1/WKJvyqxp1F929Gz+69lrmr1jBbb16XbQVT4SvL34mE5lWK9V2u7B68fFhdFISL44bd1HPpUKSJFoqFf981VX8c+tWrWPppddTXFOjdUYXzZjB6eJi3tyzhyqbjX7R0fSMiODDgwepstn46vhxThYV8cWRI9rv8DebW8zpbo632jUsjK2ZmVTZbJp6HBpsWma4+VlKksSn06Zd8jn434jfOoD/5Sivq+Pm5cuZvWwZmYpBqIr5vXszu3t3XLJMXlWVuBCoHSpV/akQ0YcMHNhQ/AG4vUkCx4/nwfHjkYF/tW+P0+WisLqa3KoqT3Kx1So4aamp/BgaSrrTyerMTH7s2xeURbrO3x+zy4WP08nDycncOnUqXu3b8+erriKzooIVqamcLy9njlLcjExMFHYetbXEvfUWDB+uRWL1i44mvayMartd445U2+0sCwggxOHA5HTyJ52Ov3fvTprFQnh9Pbv69SO6poa7MzKY2bkzg5S/2T88nP939Kjg9qhvdG9v/tm+PfU6HXKvXgz84AP+5SawgQYbBhBcH2jIWnbHvtxcOoeFsfzGG4n19yfMYmHdLbfw3pQptH/5ZUhJ4XBRER1DQkjy8gKHA4vRSIjJRK7VipfLpR1XmtMJ997b8OSffSY+Ll0KCxdy8MABHl27lnf27cPmdHL3qlX8ddMmTVG26vRpThQV0T4kRFPjqaisr8eo0zEmJASjLBMoyyRXV2PU6wmqqKDcbKZUktiXm4uvycRrEyZwR58+DTt+Pz/BTwRQNwf33ttw3oHHwtPYXDbYy4twHx9sbgWgSa8ntbgYm9PpwQ9MLSkhOSiIaxR+5bjkZGRZJjYggJmdO+NnNrMvJweLydRsmH1WRQV7c3Kostkw6fX0jYrS/g69TsdDAwdiU9TGVdXV4HAQ5XTi5+2Nr58fSbW1XCNJfJiSQnJNDT4dOpBQW0tmXh7bMjKoKSlhR0UF9WVlkJfH10eO4CwpIS8xERlYcOQIZ5SCV/xjW/egawvcX9PLkXHb2NRaLS6b86v7T6DGbueB1as125OfgzHJyU26V6rY7d+TJjXJYVYJ/t+eOqVFpdmcTpadPIksyyw8ehSTXs+iY8d4cft2OoeFtRrn2FsZS6YWFxPj79+mbpo7z6yiEZVmVrduvDphApvmzaNHRAR777zzkvLadZLEzK5d6RQSgp/JhL+XFz5GIyNbEDP9XFzXuTPXd+mCXqcj1t+fW3r2xO50sjUjA3+zmW7h4Uzv0oWN8+ax5847eXfKFC3h6pmffuKk0rl7/8AB/r13L/5mMz/OnauNe9uCruHhIpHHrQvokmV2Knz7xvy+rm3o1v6a8FsB+F+O3dnZVNts5FRWUlhdTYyfnzbSU3d++VVVOF0u8XVenucTtLSDd8s1tHXrRlxwMNaICHK9vMDlwu504nC5KK2qYvtbb4HTyd/ffJOndu/G8dFHnPHzA5OJ+b17069dO8y+vlTW1+N0uYhTxguzunUjPjoap15P78hIYv39+fTwYQ/OxdjkZBwuFzUOB//ato0TRUXkVlZyT79+zFR2X4FeXnxwzTWaAzs6HaHV1RovbmVyMgf9/WlfV8eBdu3oYLPxqizz+jXXaGasY9q1w/Tjj3RxM+ucFBdHaXAwO+fPZ/HVVwPC988dQ5txhz/Q6DXOq6zkYH4+g1u48AQHBoIksWD/flJLSsg0GNA5HMyQJKYfPgwlJXSprNSsY06VlMDQoUIM8txzQindvTscOQKvvkrOP/8JDgfLT55kyIcfimK/uprbVqygtLaWt/fuJTkoiC+nT/c4joq6OuqdToK8vXEpBZNOKdix20mz2cgzm7GYTKycNYvPr7vuwp5u7mkPjThvf1dUx40tdPKrqwnx8aF9cDCdQkK4t18/+kRFsfzUKa5ZtIj5K1awLzcXR10dRwoK6B4ezqDYWNbdcgv39u9PaW0tRp2OkUlJ9ImMJLWkhHZBQZqRroqM8nKu+/prSuvqSAgI4IauXXl+7FiPn1F38j5GI466OtpVVxMQHU238HDi/P0x6/X8s6KCvmVlXJ+XR7bFQqjNRn1BAbm7dlFqt5Ph40OZ0cikwkKyzpxhmcnEFvW9VV3NN1FRoIomGp1b5XV1bDh79sIRio1wtqyM+StWaEWDewG4PTOTDWfPXrS1hCr2+r0bUX5+796cKi5uYpvidLma9bG7klDzfC8HLzE+IACL0ai9Rtb6enbn5DA2OVkbUbrji+uu47PrruOhgQMZEBPDB1OnEmax8OL27aw5c4bjRUUMjInROkaqcOxCCPL2bmLz0hpu6tZNixPs3Ugt7m00MjwhQRMHSpJ0yalCfx81CkmS6B4ernUmGzsdXE48MWwYjwwaxIMDBjBJmWAcLijwaHSoqTXQIK5xN35XR75/Gznyov9u1c/S3RB68fHjfH7kCL0jIwlx38D9H8RvBeB/OY4VFpLh5qn24o4deOn1fDl9utZpyayooM7hELwmddf+zjsii7alcYSXF9x4Izz1FMM++YQRn3xCpsOBbDRSj9gF6SQJcnN5OD2d+v37WVlfz+rwcG6LiWFhXByDYmO5r39/3p0yhc+vuw5JkrCYTPxj1iz23X47UUOGaG/k13bt4mB+PkcLCjTPNBCL8IMKLyPbauWGJUtwuFwkBAQQ6OWFj8HAgilT8DYa6RsdzZZbb+XdQYOYXlbG52vXEl1Xh2yxsCk0lLMWC4e8vOhx443w+eeAEB88O3q02BH7+9M3Jga92czbR4/yxNSp6OPj+b1Ox0v79mkvjXs3qWNoKM+PHcsXbsWUykFR8SfFcHuCorBrDEmStGxIAAwGri4s5Mn33mNGXh7U1TEtP5/Hhw0jwteXrIoKwTe66qoGUYpKujaZOK/TQU4OVfn5UFpKl/R0yMrieGEhj61bR3FNDd3Cw5ssRJkVFRh0Okw6HVsKC0GnEx09gIICiuvqQJIYlZREtJ9f6yMkkwlefFF83qgAVP/ev2/Zoi22ssKh7Koc26mSEt7Zt4/fDRxIlK+vZl305VdfMeSJJ6ipqdGI8aqwROVNxfr7E+Pvr/EoUxt1ADMqKnC4XFiMRnyMRobExTUZAakF4NwPPyQ6P5+bKiu5tnt33pk8mdFJSSysrcUnNxcOHKCzLFMqSYIzCuQeO0atToefTsf1sswzqan0OX+eF9u145WICNDpkMrLqTAY4MknITkZ1qzRBEd2p5M/rF/PExs28MWRI/z5xx9bVKe6Q43IuqdvXw9bk4q6Ov64YQNPbNjgYRPVFqjRZQNjYjQ+pHoub2xkP/Tc1q2M/vTTny1AOVdWdsFMchU/nj3Lg0rnr3E3+1IQ6+9PiLc34xQbj39t3UpFXV2zMWoAFpOJLmFhzO3Zk7cnT6ZXZCQrbrqJcIuFJSdOkGO1eowEW3oed+gkSbM0aWsB6G008u/Jk1k9Z46WSXulsPW22/jmxhu5r39/hsXH07kF25XLhTk9evDAgAEeo3B3rp47ohq9XuprH+TtfUl0BX+zmUhfX226A2j8+idbGCX/X0KrBaAkSYMlSfq3JElHJEkqkiQpU5Kk1ZIk3S9J0pVPLf8fx+mSEmyK/5nN4eB8WRlv7NnDnd99h0uWWZ+ezsQvv+RceblIrcjKwi5JIrlB8SlrEY8/TvXVV2sLtJ/JhK/ZDJJEbG0toV5enFPGQWvT0jgN5Hh5sSU4mCKTCVmWcbhc/JCW5mF7MDI5Gbp1A4VkOyQuTgSl6/XkVVXx1ObNZFdW8vG111KrcE0SAwPRKZJ/a309Eb6+VNpsJAQGerT0+0ZHc8uECfzlzjvp7HKxtKgIu9mMDJwMD6fGbtesDkB0d65u105b2K7p2JHdjz/OgJdfxicmhluauWC/vmuXx9djk5PppBSC0zp1oqCqShsbldbWcrSggNndu2vjiebw/Nix3K0IEMwmE48oytohDz7Isn37mFRYyI3duvGC0qU62ZiYPGeOKLZ++onTvXpBTQ0UFDB3/34+O3SI2zIzoaCAo2lpUFDANDefKhVaAajXQ1UVOoulYRxeWYnZ4eAznY63J01q8e9oAvUcU0YmKswGAz5GI/UOh7ZbL66pocpm06wwkGWQZVwIa4bVc+YwpX17VuTnk2ax0JGmakq109IuOJhIhXi/6fx5DuTl8ZGbq39RdTX1DoeWGzuzmWzaBGW8JxcUUKvX09Pbm6dGjKB9SAgvjhtHh9hYOH4ctmyh8/DhoNPx0ujRpPr6cs7HBy+DgY4JCRRddRUS8K+TJ8WGy9ubYT4+dC8ro8RkgqQkNg4ezFx/f5xz54LVyocHD2qd5Dd272ZtejofNCOoaYysigr8zGbm9+5NYkCARpf45NAh6hwOhsbFsTI1tVXDY3ecLy9HJ0nE+vvzzY03smHuXFKCg+kUGspru3YJ+yYFG5X/ZdrPiLLak5PDzCVL+NOPP3KssPCCtkCvub0XL5S/3FaEWyxIkqR19tefPUvnsDAtxaItMOn1zOnenT05OZTV1mJQunkvjx/vYR9zIagefe4Uk7Yef+OowcsNb6MRX+Uce/3qq5uKAK8QOoWG4msy8e6UKS0ajYdbLPxh6FCt0xfj58dTI0bwlVuc4sUiMTCQ88omKLeykpNFRTw0cGCb/5e/ZlzwTJIk6QfgDmAtcDUQBXQB/gJ4ASskSZp6pQ/yfxnbs7K0k92g11NYXY3d6aTGbueDAwd48IcfsLtcGHU61qWnc/W5c/y7UydoxV/MWl/PF0eOMEIxvZVlmXqnk+6RkXT29aVLRQXBOTnU6XTU63T86cQJnIDeZKLYxwcMBgw6HQ//8AN/3riRkZ9+quW/uhv7SsANyuLrbTQKIYfLhUmn40RREeEvv8ziEyfoGBLC7jvvxKDTUe9wEG6xUFxTg06StOLNA0OHwubNmL7+mgXXXou/vz+m4GC6R0S07q3k5wdK5NgoN35L/+ho7u7blz05OVokkTvGuhka/3T+PPlVVRpPalwzBZc7JEliTo8e3Ne/P5tuvll46AFccw0J7dtrnT51rO8+7rLW14tu3ejR2HQ6DprN3JCby+vHj3PP+fMQHc3gsjIoLYWcHB7bu1d0QRtFWe3JycGk1/NM//4s3rWLNe3bg8HApMJC7jt/ns5VVVwXEeHh0N8qzGYhbGjG9uSz664D4A/r13O+vFzjrrULDubdKVN4b/16pMxMj3HOCH9/CsxmbDodt1mtmBvlsZ4uKcHfbCbMx0fLpjXq9cgIWyEVRTU1Gr9vdvfuzXYzQ3x8eHXCBBHdB8QqY2sNN94o/r5u3eg4bx5eBgMGvR6XlxfHIyIw+PnRLiSEXUVF7AkMJMRu55PBg5nfuzevdelCqM1GicnEB6dO8QcfH05ER5Pn5QVnzjQt8IElJ05Qa7djdzo9OEmAxjdbdvIksQpvrH1ICKdLSui3YAGfHznC8IQE7uvfH5csN6EpXAgZ5eXE+PsLw2STSRPT/Omqq7A7nby+axeV9fVkVVRoQoiLKTDtTiePrl2rjXIXKpGAIHJg569YQUkLz+c+giupqfnZ8Vlqx+jb1FSeHjGC+/r3559tsDRpjNFJSRRUVVFjt2ud9ovxg1MNwN3jwf7XEeTtzeZbb20x51fFDV278sE11wBQ73QytWPHnzWqTQwM5LySjbxB2ZiPbeV6/n8FrV3pb5FlubFpUhVwQLm9IknSle0P/w/D5nRyvrwcvSRh0uvxMhiw2mzodToiLBb+sH49dkWp1S44WARq19ezOypKGC5fAN+fPu3R6boqIYFTJSVkW62E+PvTvrqaQrOZhNpaqvV6CnQ6ouvrsUdFgbIof3PqFC6lC2h3uQj28mJMcjLv7N3Lvf37I8uyMBG223lh7FjiAwJYf/Ysy06cYG9uLn/68UdciufYVfHxGHQ6Qry9ya+qwqXkLIb4+LTMqVEW9bzKSmICAvjj0KGMa2EM2xJU0ndCYCDvTJmixeydKy9vluybEhyMn9nMY+vWEWaxaMakHVpR/oHoRs5XrRkmTxZFuiTBRx9pP6P6er2ycyf9Y2KwO53M+/Zb7u7bl9v79OGtPXuoMxoZVlrKEHVscd11dCwupltqKj2sVqb26gWrV8Pf/iaUxJJEttXK92lpjEpMZHpoqOgghofzVf/+xL//PiZZZn5AAFzKTjourkkHEDwjkq5fvFjjJrUPDibg8cfh/HkG+vqy+McfGZuczJnSUnZv2ECnqipSfX05ceAAY+fPR168mLNlZaQEB3OmrIz2wcFIkkS/6Giu7diRSF9fHlm7FofLxZ9+/JHnxoyhsLoanU5HgJeXZkvTHPpFR4v/QUAAMRMmeH4zIUEor729MUkS2+bP58ezZ5n61VfUA6EmE0Pj4zlUUMBLQ4awZPVqug0bRjezGWpqCLHZ2Bgayrv79onfERlJprc3EWlp7K2qwtto5J+jR/Oo4rdZY7dzsriYnVlZfHzoEAtnzBBRX7t2sfzUKc3rLF7ZJLRv1HF+ZuRIzernk0OHGJuc3CafwbTS0maLly5hYXx87bXctmIFO7Oz2Z6ZidlgoN7h4LPDh+kdGdlq7u+enBw+OHCAA3l5FFZX8/G113IgL48ZnTuzNj1d6+ptPn9eU1zanE6MOh2SJOHvNhZ0yTLpZWVteq+1hBBlM3mkoIBHBg3SBEYXi0hfX+wuF2V1dSw6ehSzwXBR3bznxozBWl+vURt+w8WhfUgI0X5+Gn3o56BrWBhfHTvG79asYUdWFp3DwrTN5f91XLAAlGW5WJKkaUA74Kgsy2ub+5krdGz/03hq0ya+OHKEeqeTSF9fnhg2jBhfX+Z88w2yLONnNmN3uQjy8iLQbCbU25uK4mJiS0vRtSGnU+X9PDt6NEadjv15eegUDt+snj1JWb2a7cHBeDmdFCsX4QCjEZuXFzbl91bb7ZTU1uJlMFDncFDndLL0xAm8DAai/PzoFBqq8Xxu6dlTpGuEhNA1LIxJCxeSr3TZHC6XB8/E5nQyddEiAI0Y3BJsTif/VDhP0zt3vmjrA7PBwNuTJ2tcRbXtn15a2qwxq06S+N3AgcxevhyTXq/ZmlxU1wxEDF4zcCcxr0xNRS9JuGSZd/bto3dUFCtSUxnfuTNDvvhC/FByMkyYgCU6mk+mTROduK+/hp494V//Ej6CiYma2fIDAwY0eAv6+4sCeNgw2LpVFKKXMl6KjYUdO5rcrZMknhszhj/9+CMguli9IiMJ2LgRFIuZ+QYDd+XlccP770NAABQVIfn7Mxw4bbHwcUUFB5UL82sTJpBjtWo2GL4mE38dMYIzpaXE+ftT73Ty9fHj3NW3r8bjTAkKuiAx3EevF7F7RmPzi3GjzsKY5GTaBweTVlpK9/Bwbu3ViyqbjU9lmdqVK/FWu99RUcQ0MgzGYCArOJhdp09ji4jg2nbtuCo+nvYhIYxKTGTB/v0cKyzUun//3LqVSe3aeWSzQoOpbeNCSBUB9AgPZ29uLp8eOsStvXpd8O+vttnIrKhgcgvvs85hYZj0eo4VFpJbWUnXsDCtu/ivbdsuWADanE7u+/577esAs5mfMjKosdsZkZjIvrw8rQBUuZ05Viuzly/nqvh4dJLEzuxs/MxmHh8yhKc2bWL2smWsmj37koUJ7teH6ovw1XTHiaIi1qWnYzYYMCvd44SAgIsy9Q7y9m5+svEb2gQfo5GVs2ZdlucaqlxP1KSt4a2ouP8v4YKrliRJbwNdgR3APyRJGiDL8j9+kSP7H0W9w8Hcb75hw9mzVNpsuGSZhIAATQH7rcnEm7t3k1dVRVJgICa9nrNlZeh1Ot46cICtZjNr2uAwnllRQZjFwl+UXFqdJOFnMqFTRksT3niDIZs3c1NhIeU1NUh1dUSGhLCprIz4gAAWzZjB1V9+CYBZr6dOMURV8ecff+ThQYO0r9eeOaPxOmIb7ZT1Cv/oq2PHyKms1LpgMf7+3NBMPJI71JSOftHRF138qXAv9IK8vAjw8mpiX+JxvIpLfXxAgMbluZy4tmNHVqSmkllRwbnycrqEhXGiqEjzLpvWrRusXAlVVR5qbj77TNwnSTBkiPj4yScwfz7HCgsJ8vYWXTlVmat26F54QSiqL5VbFBcHxcUiuk71WFQwPiWFTw4d0gqyUWFh8Oij4ptLltArLg7+8hehXs/PB1nmd/HxnIyKYq3Vyq6gIDHKDg5ma2YmpbW1TTotiYGB+BiNlNXVUVBdzbxvvqFYGRc2y+NxOISptrc3VFRw9/nznE5KarOCsHdUFAadjqvbtUOSJFFESxL53t5oA72oKGbl5BBns1F4xx20Cw7m4TVrWJeQwPHaWiwmE3f27YskSSxSuq6bzp/nzd27Oau8x44XFnK8sBCDTsdPt95KaW0tnxw6pHFc3b0o1dgtgNevvpqhH33Ev/fu5WB+Ple3a8fY5OQm5r9ON/FMS/mqBp2OjqGhnCgqorS21uPnqmw2zdezOfx7zx6Pr8vq6th47hwhPj4Mio0l1NtbUyCX1tZidzq59quvADTPOxDZte4dykVHj/LQwIGU1tZekiXH9V26sPTECQ9j+ovBC9u3c7ywkGhfX8YkJbE5I+OKWaX8hiuPlrLI/xfQ2hV/ODBaluUngZHAtCt9QP/LqLHb6fXee+zOyaFGsVTRSZJmZQIwLiWFLuHh2JxOvAwGdJKEXqdDZ7fjm5ND9ODBVEqSR7xOY5wpLWV3drbHz7hkWSNCxwcEICUkEDhvHvGdOuEdHIzDx4cTSpersr6eHpGRhCpEeJUzFOLtTbDyuc3p1DoXPSIiNO+8s2Vl3Lh0KbF+fgSYzYxISCDcYuG+1at5fN06fE0mQn18aB8SwoqbbmqVnK1y5S7F96o5SJJEcmBgE1sRdxzMy8PXZCLCYuG1CRNY+DMIyM3hryNGMD4lhW2ZmeRYrVzXKHu1X3Q0REd7Fn8g0kxU/kxUFEyfDqtWwfTpFJSVEe3nJxZrtQBUCwiTqWW1eFswdapQlS9b1uy3f7djB4OOHyfS15ep+fmi+Hr/fUhKQmcw8F3fviw6cECIQoAu3boRFx4uOosABQVQUcFyJQIqqlH3x6DTYdDrtVHvyeJizldU4G00Nh3llJTAyJENPounT3NnZiYvNZMi0hJu7NqVPlFR2shSVSbmuXvy+fmhv/lmRrzwAjO7dqV3VBRxAQEc9vVFX1fHdzfd1KSLdUuPHrgULm6dwqcFMeotrK4mys+PJ6+6Sus2G3Q6ov38GJOUpGVRg+hGqykQO7KyeGrTJp7fts3jd50oKmLIRx/xjGIY3lIByI4dTDx3jlPFxRRUVxPq48PX11/PsPh4aux27l61qlm+LMDRwkKPovN8eTlbMzMZFBOjXbdUrE1PZ4mikB4UG8v0zp2178UpvpoqFh07xtSvvmLil1+2yB28EO7t1w8QNjxtgSzLHFSU/zank9TiYrqEhaHX6bilZ0/enDix2dSN3/Drgft1osX3wv9BtFYA2mRZdgLIslwDLZp6/yohSdLVkiSlSpJ0RpKkJ/7Tx5NfVUWVzUZxVRV+dXUYXS504GEPUVFXx5q0NG1k8tDAgYITVFPDWYuFGGVRUgujzIoKXt+1y8MbbM2ZM2RXVmrWMqqa95YePfjn6NEe49goX1/ya2sxeXsjKzt9GVHgVdTX420w8PDAgaQEBRFmsdA9IoIAs5kOoaFklJdj1uvpERFBtpLFul2JIfMzm3lvyhS+nz2bUB8fcq1WKurr6RYeztyePXmtMR+rGciyrKkELydnIzkoiMMFBc3GbMmyzP68PBIDA8mtqmJYfPzP4iS1BHd7iMFuXoTLbrih7aOm++/XPi384Qci1HGm+nddpAKxRYSECE9ANWJOhcsFeXn0/+knXlu3jlXr1uGnikXcOrtR119PskrEDwmhU58+wibDbGZUcTFBdjvxbgVRXDPJFwumTEGSJMx6PTanE5/aWsy5uYxUi6zly+Hdd0XhWVcnupX19WJ0bTDARSzgV7drx4JrrtFGxmpB2sSU+Xe/E3F56nH7+4PJRKeKCvyb6T71iYqiVvk73bucBp2O677+ulmz65WzZvFCMykN9/bvz94779T85lamprI/N5cqm43TJSXM/eYbkS6kdNCbJdHn5sJDDzHhww8xl5dT73AQ4u1NSnCw1pk/kJfnoRJW4ZJl0kpLua5TJz6dNo3XJkwQkXx2O32VTYrq3+ZvNuOSZS155pFBg3hi2DAsJhNjkpJ4fuxYj5QXlyxToLzW+y9C7KLCz2xGJ0mtFoDFNTUUVVez6Ngx7vzuO9afPcuZ0lIcLhfzevZk+/z59IyMZEhc3CVPH37DfwfemjSJO/r04Z3Jk/+neJmtnbWdFPuXI5IkHXX7+qgkSU3f9b8iSJKkB/4NTEQom2dJktTUK+IXRGF1NZV1dThsNmr0eqJra5GdTurcwsvPlJZi1OtxulycKCwkbedO9LIMNTU826kTgcooQo0o+tvmzXxx5Ahbzp/HJctM++orPj98WChxlcWhvK6OtNJSTHo9E5Sxloovjx6lzuHAy2DAotgBBHl5sS0zE3+TifiAAK7r3Jl3p0zhjauv5tubbmJscjLppaWUKBmzi44e5Xx5OcU1NRp/6LpOnRgaH48kSVzXqRM2l4tqux2ny8Ujgwe3ieOTU1nJeWWEdDnftN2VEforzfDa9ubmkm21MjQujnqHg9XNpDuklZQwa9myn2Vc617QRvr6smTmTD677romEXQXQrHBQOo77wBQYDYToRYdVqsY915OR/vGQhBZFpzCiROR6uow5uWJomvbNjF6do+/kiT0Tzwhupfh4fgYjYxLSWFev348c/o0P+zezVI3o9YuzcSp9YyM5KNrrxVczvp6IsrL+WbZMuJVf8fnnoN//xu2b2940L598M03MHy4GAdfIsIsFryNRo880uYQ5+8PBgM9rdaGpB43RFgs2mavS2goK264gac7dtT+57OXLfOwumkNkiTx/ezZmnL97lWrmPfttx5G7Lf16tVgsN4Yhw4BIkJrlsLjDPXygr17SXErUBcdO0aa29/jkmWe3LCBWrudHhERdA0P99jEqBvMp0aM4JmRI5sUTwmKJdRPt97KC+PGEeTtjU6SeEfxwesUGqo95vAlpJXoJIlALy/KlAJw0dGjzXoSPr5+PRO//FKbZGzJyNCywBMCAy+e9/sb/msRHxDAPf36te4g8X8MrRWAnYFrlNsUt6+nKB9/zRgAnJFl+awsyzbgK+Da/+QBnSsqoqK+HrskYZMk7sjIoENlJfnFxZohq7rIJAYGItvtvJqTQ/sDB7jl+HFkHx9e2LGDapuNrRkZrE9Pp7S2lqLqaiYtXEifd9/lx3PnOFpYqKlXY/z9Kaurw+50amHnKmRZ1sx5zQYDXcPD2TR3Ll4GA1szMjAbDLx/zTWEWywMiYtjWHw8JiX1Qy0iA7y8sNbXU1FfT0Z5Ofvz8pjeuTN/Hj68oYPi56e1lstqa/ngwAEPPmFLUMe083r2vCgCdmuY1L49k9u3Z09ubhOOn+pZ9vshQwjx8WGxMrYCwWOqttn44cwZ0kpKeGfv3ks+BtX0VrWpSQoKarbwuRAe+uEH5hw8SNbs2dTo9YTl5Ynib/9+CA1tVSl+UUhIEDY0ahfsu+9Ex83hEPxAu110BNPTxe9uDLOZecOH89jgwYDoCj04aBA+TicGWUa3Zw8Lxo/no2uvbfF/3SMiAh+jkdDaWpBlEjIz4eOPhQFzURGcPQsbN4qCD+D3vxeKdvfYvUuATklOOHwBPzuAmV278mjHjtyRmSlEQG+8IV4TBZIkMa1jR2L9/UnPyCBm7FiueewxfNw6VW/v3XtRVijB3t7ahgaE5Yva9ftk2jTuHzCA21rqfp48CV5eGGbNYsixY1y/eTO9vv0W7r2XiB9/ZN0tt7B45kxcsqyJjEAUZWps2gjl/DXodNr5q/Iy4wICmNyhgwfFIcjbu0Wfu/4xMYRbLHw6bRo/zJlDx9BQrSC7WAR5e5NWWsobu3bxys6dmlBJhSzLHFX+n+qIe39entblbUxD+A2/4deICxaAsixnNL4B1UCm8vmvGTGAu3dFtnLffwyPKhwqWZKIDgxkQHk5siThstvZn5sL6ekcUWxKbE4nOmWsG2az8XlsLFGRkZwsKqKsro439+zh2q++Yk9ODoU1NThcLk6VlAjLFqXY6xsVxYdTp4rOmyxzvJH3WEV9PRaTCYNOh6/JxNuTJuFrNgtOjLLzVrk5Z8vKGPPZZ5wvL2dATAzeCj+x3uHQxlDbs7Kosdub+Dx9eviwtqgfLyri3X37eH///lZfL7UYvl3NpL1M0ClpGHank3NuDvEgEgyi/PwI8fHhuk6dOF5YyIazZ8koL2f8558z4pNP+Ezx38v+GR3AATExPDRwIH8bOfKSHi/LsjYyfKFTJzAa6ZiaKhJFDh9u4NddLqgdHnUMrP7/7HYtso/8fFGEKV5bjfHgwIHM6t7d885Vq4Saub6ePvPn06OVTl2dw8Gf9+3jHzt3itHu4cPw8MOiCFXRvbtQT9vtMGECXAYvtr5RUZwuKblg1zfcYmF2z574OJ2iuPr88yZejadLS+kSHExhYSG5Cjm9pNH7srVCszHGp6TwxtVXa0rfTw8fJj4goHXz45MnoUMH9NOmATB1+3YilywR3ztyhGBvb5KUTliRGxdvvfL/XX7jjR7pK+9OmcLyG29s0vG7t18/dt5+O38bOZJPrm19D67X6Qj29ibGz0+bdFwsOoWEcLSgoInCGmD5yZMaN1JFkLc3RdXVHMzLw0+JS/wNvy5UKPGSv6EBrRlBD5IkabMkScslSeotSdIx4BhQIEnS1b/MIV4xNNdGaBKiKUnSXZIk7ZMkaV9RM+atlxPlDb+UvJoaDj3xBOd9fUmXJI6sXYt8443s3bSJwbGxHrmVW0JCwMeHuPh4rPX1lNbWUl5Xh83pJL+qCpvTqfn1OV0unErheK6sjLXp6XgpdgYbz53TiPYgeIQ6SeLxIUN4cdw4jTuUWlLC7uxsHIodzLHCQu5etYry2lquX7yYr44f53eDBhHu44Nd8fSyO50ax6dro05WWkkJFpMJHVBps+F0uVh28mSTGKrG2JKZSfuQEHyugFO9qjp0H/FuzchgbXq6plKe0qEDep2OL44cYcbixU2e42hBQZNUkbbCoNMxt2fPS15o3BfkXdnZmLy86OU+/mzMV/u5UK0T5s4VamS1g6taEul0wnC5vl4oflUbm9YQGQnjxgnOoNWqjSVbwlvDhjE2N5fuHTqIbOXqarDZRB5v9+5i/Ny7tygKJ02C++5r/olsNnjsMfj22zYd5pQOHZBl2UO92iwadz/dxBkuWaa4poaB69cjlZezSuncFTdSpG9vzLVsBTpJYmh8PA8PGqTZHQ1qbQPgckFqKnTuDB068Oj993M+MlKbCHD8OCC6lmE+PlqXrNZuZ/3Zs4xJSvLwgQRh3dH4PvU5jHo9Uzp0uCgvvWg/P83A92LRUfk/zOvZk9sUU3j1b/h/e/aw6vRpj5+fohTPWzMzf+v+/Urx+Pr1zF+xolnazv8qWhsBvwU8BywCNgJ3yLIciVAH/+sKH9uVRjYQ5/Z1LJDb+IdkWV4gy3I/WZb7hV3kCO5icUf79hhcLnC5cDidLDh2DJ0k4ZRl1jgcFJtMlNbVcZXLRZSvL3ZJwiVJGEwmiIvj+7Q0QhS+jCzLWqEnyzIu5RboFhieWlLC/d9/j1mvJ0DxFXxu61Yq6+u567vvuH/1akDYJlwVH69xh8yKIXVBVRVGvZ5rFy1iR1aWNrbdmZXFm7t3Y9Drub1PH3pEROCSZfKqqnC5XGRbrThdLmRZpryujuKaGqL9/GgfEsLAmBjsLhfHi4q4fvFijXTdGKW1tRwvLOTqizR+bivUhejr48c1wvliZdG7SbE6ifX359aePT04VSDyQGcrnawvjhy5oKL4SkEdjalcwvbt22NWX0d/f3jkkcv7C90LijffFKPeYcNE0WcyQXg4JCaKW0QEqJ2ktuLNN8XHZhJH3DGospI4Hx/axcYKXl+HDkKkEhIiRtLR0WL8OnQo/P3vDarpxjh7Fn76CZ59FlrZiIAY2Uf7+bXKA2zsK8iWLdqn5WfP4srJIbm4mP5KAejQ68mprGR8SgpfX389faOi2NHKa9ASgr29WThjBs+NGcPv3CyamsX586KIV0Rlb8yfT4zqXWkwiNdk+XIAUQAqG45/bt1KeV2dppC+klC5hB8fPMi7+/axNaPtQ6kZnTvzj1GjuH/AAG1E/sxPP/HCtm1U1tcT6OXFrG7dtIJ1THKyliLSOzLyMv8llx8bz537WRzk/2s4nJ+v8c+f2rSJbRe5ifq/itYKQIMsy+tkWV4C5MuyvAtAluVTV/7Qrjj2Au0lSUqSJMkE3ASs/E8e0PXDh2OQZbwdDmSEWbOPlxc2SaLMaCRVuQBVf/ABaRs3opNlXDod9oQE0Okoqa3FKctMVexBJERupQzaLcxiQS9JGHQ6imtrsbtc+JpMeBuN2BRV3jenTnEgL4+8ykoCzWbu+u47/rFlC+llZcT6+3OXMnKttttFVrFSWOh0Os2OospmI9tqZW16upauIcsyAV5e3L96NR8dPMjv1q6lz3vvUVFfz4iEBLpHRBDmlnVZ73Qyc8kSrfByR55ycUu6QnmNOknSXOYnL1xIVkUFe3JzmdezJ1Pc7Ffck0ceGDCAhwYO5MEBAzxSGi5Fqfhzob4+qj1Fp8TEBtuXDRvgcgfKN/LSIiNDRMQVFIhCTJZFQeHtLYrFi4308vcHX98GoYnNBh9+6FFAAQ3fd7mgY0dISREF6IsvasUMWVmt/373BUIxJW8N0X5+rEtPb1at64GNG0VHMylJFFLKMRc//jhUVBBqszGuqIhcLy/+3bMnxXV1jE1OJiU4mKHx8aSVlDRVHLcRJr2e8SkpTTwBm+CUcolX7Fg6hobS8+qrRXf3L38R33vuOUBcUw7k5bEyNZU1Z85wW69ezZqoX26MT0kh3GLhWGEhHxw4wCNrm+QUtAizwcDE9u3RSRLD4uMJ8vZmV3a2ZkXz0MCBPDZkCG9NmsRH115L17Aw/jZyJO1DQrj+Fyhufw5sTid/WL+eqYsWkVtZyQ9paRwvLMTpcmmiORW1djtLT5xocv/lQmV9PU9t2sTenBxS3WkYVxhyo67wnxW/WxW/W7PmglZp/ytorQB0v0o2ZuVffN/9vwiyLDuABxA5xyeBxbIsN600fkEMjo8nqraW0JoazWqlV3Q0QXY7siTxl06dcAUG8kZyMj/q9QTb7XRURBxqt69dcDBHCguREUWMTpKQQLvVOBwEe3szo3NnkgID6RgSwtMjRjAmKYkQb298TSY+P3KEs2VlZFmtZFdWUmO3szI1lR1ZWXQJC+NfY8cSabHglGVmL1umdf5CvL15fMgQHhwwgFGJiXgbDOzOzuZseTmSciwqL25tejrLTpygoLoak17PX4YPJ8Bs5lRxMQadjrsVX7Z6h4MjBQUeb+gTRUVkKR2uS00EaAtmu/HR/rFlC06Xq0nUXLvgYF6bMIFPp03j1l69mNuzJ3qdjikdOrB45kzCLBaNTP5LIqeyEkmSmNi+Pa+MHy9MuRctEqKIK2VZ0bi75XCIwnDMmAbhhU4nfPgKCgQHr62QJFE4qt2vgwfhnXfgqaeEkvfzz8VzHj8uuo47doju39dfi8979RKF4J/+JB7fmnr0/HnxOydMECISJbHiQlCLnkVuWbfNwt8fPv2UF267jf+XmIi8aBEsWMATCicvxG4nTnlPfR4VRf/iYs1oWM2OXdvaqPnnQhGA0NjguEsXIfhRUV2tqYzfURTX469QV74xVBPug5egBHaHTpKaJKEMVP6X0X5+9IiIQJIkBsTEsGjGjCu26bxcyHKzr7pn1Sr+umkT8779ljnLl3P94sUehc8PZ87w/LZtTazCLhc2njvH6rQ07v3+e+YoHeMrDWt9Pf3ff9/jPaJ2b93pQr/xAVsvAHtKkmSVJKkS6KF8rn7dvZXH/tdDluXVsix3kGU5RZblf/6nj8ek1/PI2bM8u20bkvJmPFpYSJTJhF6WORITgyM8HF1kJA5JIsDppEtcHPVOJyMTEggwmz0I4ma9Hr1OR5ii0g3y8iLY25u4gAAeGzyY58aMoYOyo+2iRD7lV1VxuqSEeqeTIC8vau12chTPwPPl5Rpf5vWrryYxMFArPIfFx+OSZXZmZzMyMZG9ubn4mkyar5k6yrY5nfSOiuJ8eblmdjs+JYVIX18PR/ZpnTph1OmoczjYcPYs7x84gM3p5Ie0NOZ+842WYBJxOa1MGsGo1/Py+PGA8Dsz6vXNev5dlZDQxD1ekiSSg4JICQrSYvd+SeRYrYT5+GDS6xmRmCgufGFhggd3pTB2rPj40EPio6+vKMY+/RTUpIrERGjXTnTgLnbhdi8ACwtFhNupU/DPfwpF7eTJQn3s5yeKy7lzmz6HKvhobaybmyter8mTRW7yt9/C3r0X7BzO7dmTGH9/TZiwLze3xbSJzIoKlmRn82lSEpnffUfNhx+SqQhcgm02Ih9+WByrtzf3nDqFTumexPr70zE0lF2XOAZuE5xOOHBAdP+a2yx07drgb5iTQ8/ISDqEhFBUXY2vydR8+soVQqSvrxYnB1xyEaOK0G7o2pV9d92lqfB/jVCvN0Pj4jzGwCo9ocDN7UGdFGzLzOTGpUu57/vvL2u6UWPBT72bn+eVgmrp485nV3nbi2fO5M2JEwH4/fr1bMnIYOHRo/8Rms5/A1pTAetlWfaXZdlPlmWD8rn69eVn3v8GjFOm0KewkFjljVleV4chOhqTyYTd5SK/qop6iwVMJlK6dCExKAg/k4mu4eFE+voS6OWl2beEWSx0DAnhqvh4ts2fT85jj2nKl56RkUzt2JGvrr8ei8mkjTUifX1xKMKNeT174pBlqm02Km026p1OUoKDWXX6NOV1dVTZbORXVRHl68sD/fsT4OXFJjchiZ/JRKy/P51DQ4lWLqjVNht7c3I4W1ZGvdPJ6MREPlVUhu4E8d6RkQyIidEuGAv27+duZTfrjsYxPpcbIxMTma+MUVVl88Xg5ygV24qDeXk8t3Urr+3cqb1eZ8vLSboIz8DLgieegIULReG1b58QmoSGiiJC7RpNmiQKK2jWC++CUL0GrVah6i0oEArjxotKcrL42Fw8V4cOorPXDK3AA6WlgjfYv78Qjrz4orCLGTBAxOy9/XaThxh0OgZER5NeVsbenBzuWbWKVxThU2NM//pr8YnRyAvt2rFS4aHFeHsT8+67hE+eLDpw3t70sFpBtRtavpxu+fmcLC5uMua6IN5/X/gyNoYsNy1sH3tMCEBaognodPD44+LzF14AGrwZRyclXVZLptbQeAJwqaNMtcM6wy2BpK1oKQnlPwXVwN49itPbrfNVXFNDbmUl1Tabh/XXubIy9uTkcPAyUlYab4BapUf8TLhkWTMmdzc3r6ivZ0BMDJG+vgyJi+PNiROxO508unYtr+7cyYvuArn/IVyUk6UkSTGASh7JVcaov+Ey4o5587C9/z5xNTUUqkH2koTJYKDWbqestpZqux1Zp6NLdDRmvZ4sq5UXtm8nwGxmwZQpLD95kg8OHqRjSAhvT56sWbWY9HqeGTlSyzJ1R1xAAMMTEsitrCTMxweLycQzo0aRVlLCkcJCqm026hwOFh8/zsuKQXKwl5c22o3192dEQgIrU1PJq6rCYjTy2oQJPL15MyD8ACWrFWt9PbV2O/VOJwFmMxPbt9esItzVwb4mEx1CQkh3s2FZfPw40UqEHMDfR41qc37rz8GElBQ+OnhQS05pgh07YPNm4SvXSLUb4+9PRV0d1TbbFbOO+OTQIbYrPLI9ubnE+ftzsqjIY4T9i8Bk8oynKypqKPZGjRL5xdHRoI5mLnYxUMn3o0fDoEFCUQyiGNyxQxR1kiQEHAcPNu83aLGIDmQj+xUP7NghbkOHCiXxU08JQYivryhwbTaRsXzXXUIQ4YYOISF8c+oU937/PSBsjfIqKwn18dHskDw6LDodewID2aMU6x9ecw26bt1Qz5TIkBAkvV78bSNGwHPP0SUigmVjx3K2rIwUN67pBfHee+Lj/Pme9//0kzhvAa6+Gh54oEGZrHRKmkW7dqKoP3wY8vK4v39/AszmX5wf17FRR35XdvYldSB7RESw7667Lvpxe3JyuO/773l1wgSGu4/G/4Nw78TO6NyZofHxFFVX8y/l/1pUXc0Dq1eTHBRESDO2SqdLShiqqvp/Jsrq6jDq9Xw/ezYTvviC3Tk5Hr6UlxuH8/M1AZwq3tt47pxmT6ZiSFwcAV5eVCgem1e6kfDfitZsYJ6UJOkpt7t2At8D64DHr+SB/a/CoNfjk5JCXE0NZmXBcE/t0Ot0IoAdmNurF5vOn8fhFukU5OXF4YICuoaFUVJbS5Sfn3Zy93nvPR784YcWCeCBXl5U1NdzoqiIHKuV13ftIsNqJdLXF5PBgLfRqBV/6rEkBwVxW69e9IyM1EyLq202wi0WJrsVAy+MHYtRr8cly8zo3JkIi4VIX1+NmwHQW7EMSVYK35GJiQSYzTw7apT2PbvTye477mDrbbcxqRFv50ohJTiYKR068ExznnyyLEaey5eLpItGULua81euvGKk4yyrldFJSZj0etJKSjT7nMaL4y+OoqKGIkySGhS36nFdLCnc3bB41y5RfPn7Q1mZuE2cKDh769ZBcHCT4kxD//6wezcsWND0e2fPNoyw1Y70iBGiCHz0UcEp/POftZi7xujRaHHLqqjgmkWL+NKNF+ieX/uHoiImuanIQ90SM76bNYtFM2dC+/bi3FI6ycNKS9GVlfHBgQMX1wUELW9Zg7slxpo1DaKa5csbvB2bg9EIr7wiPt+7lyBvbx4cOFDLRf6loCY3dA4LI9rPr4ki/0rje8Uu5pf+vSoO5efzzObNVLuNwYtragjx8eHjgweZ3KEDwxMSmNGlC1tvuw2AU8r77mxZGblVVQxPSOC9KVMYo9Ajdir0gly3uNBLRVltrUY96hIWxrr0dN7YtetnP29L2JGVhUGnY0RCAoU1NRRWV/OH9eux1tc3KfLUMIRgb2+q3TZl1vr6K8KH/G9EaxzAmcArbl+XyLLcHegKTL5iR/W/jvh4htTXE5eby+ObNuHMz8daX4/N5SLI2xsvgwG9TseRggKN1yEjxsXXLV5MbmUl1ypq3KMFBdicTnZnZ5NWWkpBdTVv7NrFlowMzjYyOQ708qK8tpZz5eXsyslh4dGjOF0u7ujThz5RUUxISeGuvn2Z070783v3xt9s5vWrr+b+AQPQSRIDY2Mpr6vD7nIRqrTfk4OCCPDyIsbfH4NOh0uW+S4tjYLqahwul8duPdjbm/W33MI7k8WpNaVDB3SSRG5VlebLV2u3I0mSx0jjopCZCc8/LzhOF4G/jRzpUdBis8GePWIMqaIZg+PekZFYjEbOlJRctIFvW+B0uciprCQ+IAA/twvcH4cOZeIvVCC3iOLihg6gOwICxBjxYjuAycliXDlzZkMhM3686ESphr579wqe4IW6DGpna8ECwXdbuFBYwgC8/DI1inKe5kZ7KSkNo2X36DsF7YKDSQwMZGxyMqvnzNEW1Qy30aR7ys2o5GR+7x5DpvomIhJy/Mxmwbk7cULjWIZERTHlzBnWnz5NalteQ3d1rJqc4XQKT0U3nhQgun+xsQ2+jheCynu9QgrStsCk17P0hht4a+JEYvz8yLvc/patIFN5PS9Vld1myDK89FKTTebqtDS+O32aRW73F9fU4GMw8O+9e5m/YoV2v7fRiL/ZzNdu9Iccq5X+0dH0jY7mhXHjuK9/fw7k5dFvwQKmLlrkseG/FJTV1RGkdBmHxcVxtqyMz48c4ffr1l1WrqGKnMpKovz86BkZSV5lJd+eajAsCWhUAL4yfjxzunenR0QEe3JyOF1SgkuWuWbRIm5evvziN1e/QrQqB5Rl2f0q+IZynxP430lM/qXRrx/DioowGwws7dQJfVkZRsU3r6SmBm+DgVqHgzu/+46K+nqMSlcwr6pKM2qd37s3OkliZ3Y2b+3Zo42kAN7YvZvZy5Yxs5F5sa/JREF1NfVOJzanU6QqXHUVs7t3Z8nMmbw/dSp39e3LI4MHc1///mycN49YN+NWk15PsFKgqt59X06fzg9z5tAlLExTJZv1esJ8fAgwm+nWqEAI8vbWuBteBgPB3t7kWK1aJ83fbP55Csgvv4SlS+Guu5CnT2fpBx9w6FJUhAsWCBNhdz+7558X4gQ3fHHkCFabTRPRqFY7PxdHCwpwyTIZFRU4XS7iAwK0aL3FM2cys2vXX5SL1QQ2G1RUNF8A6nSiC3gpxuqSJAoPh0N0oaZOFWIJ9UKvUA54/fWWn6NzZ7jnHvH58ePw6qvYvvuOvyxfzq7Tpxk+bhwTBw4kv6UOoup52IwQQ6/TsfSGG3h+7FjCLRZeGDeOLmFhFLt1/UqUAnBG586EPfII/p9/zgx/f57v3VuIZhqja1fBp1TPnVmzmJOdDXV1DYVlSzy0nTtFx1LFmDGim/nXv8Idd4iO36RJwhsRxOi7rTw4b2/RZb3EOLbLhcTAQAK8vIj28+NoQcEV55m5Q528HCssbLVg2HjuHB9e5MZTQ2mp6D7feqsHX1MV0rlzH/Oqqjw6Wu4bjgcGDMDucnmcjzcqvqaAh8UV8LPERmoaUbyyRoxVubkIUd0TGzZc8nO3hMLqasJ8fJjWqRP+ZjML3BKlGnenu4aH88jgwVr+9sNr1pCncCNPl5Rw8he0rflPobUC0FeSJK3VIsvyJwCSJJmBtlu2/4aLw7RpdLNaiVfeuLIsE6G8wZ2yTJXNprWvwy0WzetPHe0+NWIEFpOJkYmJLD95koN5eR5myk5ZpqyuTrt4gCDPLj1+XNtBS4jx5XWdO7e5kDhRVIRLlhmfnExBdTU2pxOjXo9Jr6fGbifE2xuzXs+QuDh0ksSB/HwmLlx4weeM9vNj9ZkzvLpzJ51CQoj192dtM8HtLWLzZnHxBFixApYtE+NBi4Wa9HTKvv2W57Zubfnxstz84qr6xKkZokrXkkYXtWq7Hb3C4dyemcmQDz9s0RZGluU25bweyMvjthUreGXHDr44cgSdJDE4NpYXxo7lncmTf1EVZotQL54tmaerY81LweTJgmsYGiqev1cvUehUV8PWrcJypjVu3IQJ4qPCjTvl68uaI0d4oHt3CA+nODaWP7UUMRgaKuxt3BdHl0vY0jRKkAAI9fFhZ3Y2oz/9lIPbtlF36hSSy8WdffsK3mT79jz5zDOMbU61DJ5ijPvug0mTiCspITYnRxD+9+wRY+pm0mj47rum961eLcbkKjp18hz3unUhLwhJEiP4/3ABqELlWD74ww+/yO+rsdspra0lPiCAzIqKVsfAf1i/nnf27bs0Jaz7c7ulx6h0AlVotvzkSQqrqyl2u2apSuDS2lq8DAaSAwPxN5uZ06MHb0+e7HF9D7dYeGjgQO3r8kbrRJ3DwfenTzdrzt8YGRUVFFZXa9y7pKAgVs+Zw78nTaJDSAj7cnPb9DxtxbbMTA7l5xNhseBvNvPy+PHaOQFwVQtdbZWbXVRd7WHk/trOnZpK+v8qWisAlwLvSZKkyWkkSbIA7yrf+w1XAjodptBQvt6/n883bcIF3JWVpalvwi0WOoSE8M/Ro3ll/HjaBQcT6OVFvL8/C2fM0MyYDW7m0Hale2ByE3/UORzcuXIlTpeLR9euZXNGhtahkiSJPq0sBNlWK9+eOsWaM2coqq5m7jffANA9IgJZlj38qM6UlmLQ6YgLCGBHVhZlCvk2vbT0gjvnaD8/7dhVX7t9ubkaR8Ppcmk7OA/U1IiF6fe/h/vvF/ep/KY77oDvvuNc+/bEFRaSl5fHw6tWNR+x9d57YnFtaZHLzhadkL/9TXSidu/2+LZ6bAFmM5vOn0cGVqSmNvtUf964kVGfftrqRUeNMvr6+HFWpqYyu3t3zAYDd69ahVmWL3/M26VALQCbE2IA9OsnrFhKS0Vu8EsvtclrDxAdwJQUMUru0QNuvFH8f0aMELy8q65q/TliY0Xxsns3NpOJO3v3Fh1LnU6ob0NCOFJRofGlPNDYkxCEufOHH4rc4kYIUzra1ro6dPPmkXjPPdy8Z4/WsW0VUVFipD18uBBxWCyYcnJ46csvKdiyBdavFz+3Zk3Tx545I8a54eGiaz1jRsP3ZswQ3b7hw4U90PTpDa/NBWB3Onlz925Bsg8IEK/bfwFUTrD+F+p8v6f4Ht6sWOK8tGMHK061npHQOHO9TXB/jJsxealyHVU7kStSUzHp9dQ6HPRXOLdqATh/xQqe2rSJLKsVk16vOS00xtyePVl6ww38dfhwXLLsoQpel57O05s380YbIi5V42d30Ue4xcLA2Fhu7dULm9PZhIb0c/A75fxXu599oqJYd/PNrJw1ixfHjdPEkI3x5LBhDFE2QAuPHkUnSVzXqRMH8/OZsXgxJ4uKBAXrMk1v/pvQWgH4V6AQyJQkab8kSfuB80CB8r3fcKXw6aeYOnUiyuFg0Xff8cjZswTY7YT7+PD+1Klsue02fjdoENM7d6ZTaCjeBgOF1dXEKe12p8vFytRUzpeXs/HcOTKtVgLMZuICAripa1cSAwMpqqlh4bFjvLN3L+8fOIAkSUT7+uJjMDAkLo5jhYUX3K1O++ornt2yhb9s3MjEL78EBM9EtVL4yS2aqai6Gr1Op3UuEwMCsBiNOFwubSTWHB5Q0jhAGO12CAmhzuHQLmpP/vgjV338seeDbDaxqP3hD+LrtDSxQJ8/L4xsb7gB/P3JiYoirrCQ9155hS7vvccPZ86wOzubG5cuFSahLhd88IF4jsZ8L/fFPyJCFAUdO4oINDeoO/MQHx/K6uqosds50cwCIMsy69LTqbHb2ZOTo91/tJEJ9pGCAr49dYpRiYk8m5/PF7t28fDAgRzKz6eoupoP335bGC1fxp31JUH9G1vqAHbqJD6OHw933y3GW21YPAFR5G3YIP7OwEBRBN51F8TEwLXXipFma5AkMVoFTvTti1O1zGmk1L65JfPaxgWgqipuZhOhLjx+NTUYlffT8LKyixvRf/stvPyy+NzphKAgTA4Hk15/vcGSprkOVHExDBwoun59+ojXeuBAuOUWIWr5/HPxt0gSPPmkKBIVWyYVhdXV/HPLFs0yZF9uLp8dPswfN2z4r+oA9oiI4KZu3ai02X4R/tam8+cJs1iYkJJCfEAAJ4qK+MeWLZqytCW0GhfYHNT/7bXXCp6rcs0sdfuYWVHB8cJCZnfvjkyDQCbHaqWgqkpTx7ofR2YLxXtiYCAT27fHx2jkRzfPTPU52lLEZlRUIElSs/nPalLSJb0WzcC9OHNvXPiZzUT7+WkG6s0hyNub+5Uu+/68PBICA/njsGG8O2UKBp2OW775htGffsqTV2Bk/Z9Gaz6ATlmWn0Bk5t6q3OJlWX7iNwuYK4zwcPj8c469+irbunfnXFkZ96elcVvv3oxMTPRQNHUKDSXUx4cYf38yKip4ZccObScIUGmzEevnR7jFwsMDB/LOlCkMi4vTcmKfUnhTMcrP3NW3L/8YNYrcykqPIq4tWH7DDXQMDWVATAyLjx/n88OHqXM4KKqpwaTXa/Yzep2OnpGR1DudPLN5s5bT2BjRfn7aG/rtyZNpp1w4pn31FU6XS1O8lrtfdNWFWdmhA6IYzMjwGG+lR0VphtvjTp5k7enTfHXsGOmlpSw5frxhvAvgVpRht4tiUoW6w01JoSIjgwnvvcc/t2xBlmXtAldrt1Njt1PvcHCmtFTrDNqcTta//z6r5s3DoHr4Kbviw/n53LZiBX/euFF7rrtXrcKg03Fzjx5cvXIlnY4cQSos1J7PSy1UDx1q9vX8xXD0qOimtZSb2tw4pq3+Y9dcIz62a9dw3113iRH/X//aNJbODefLy8mtrGRnVhayYlmSGxTUUPjp9fSJimL9Lbdoj6lqrjOZktJgNwMNXbCKCmhUAKgLYFx9PWaDgUofH1IKCpoqckEU7o0X18xMweP79lvxmO3bRQHocmGprRUd34gIUSQ4HKL7/ckn4jisVs9xeHAw/Pvf8PDDTV8nSRJFYiOLqKc3beKbU6eY9OWXrE5L0+xETpeUIPv7/+IdwLSSEp7dsqVZpWZ8QAC1dvsFN5UXi+aKyRLFS+/m7t2xmExaFxBgazObAPcx6iVl9Obmiv+L6u2XkYHT5aKstpbOyiZL9ZZUz7f4gADCLRZSS0pY34xA7d19+5j+9dceXoDuMOn1DE9I4LvTp7VjVjmn7rzCjefOscNtg6wWiefLy4n282vWdSLG3x9JkrSfPVVc/LOUt+r4/akRIy7J/qp9SIiWEvLwwIEYdDr6RUd7pNpc7Fr4a0BrNjDDAGRZrpVl+ahyq3X7vr8kSd1afobf8HMR2a8fH0yZwpmQEHrk5/OXYcOa/Iw7uXb+ihUsOnaM57ZuRadk/uolCT+zGYNOx+19+mDS60kOCsKskNzrld1ToOLr1ysykkGxsYRbLC0KLlyy7NHBiPH359nRo7Vux5ikJIpranhj927WnDnDruxsLEYjjw4erD2ma1gYNXY7Hx06xPDGXTw3vDVpEpvmzcOlkIpVntx2t4vOytRUPlRtMZpRZ2pwIzkfi47G12SiU2goJr2e0IoKtmZmkpKTw+A33hCdFbVgVPKM2bcPBg8WXUaVPK1eJJKTybFa8c/L45tTpxj4wQdY6+sJt1jIraxEAhICAnDJMqsUrtiDq1fz5IkT1Bw/Ts/0dIx6PeeUi6xqlbAuPZ1Xdu7kpqVLQZb5sbqauC+/JCsoiI/i4ij85huyX3sNTp/GS90Jt7WbdiVQVibi2caMEakczcE9OUVV1a5c2XxR1BIuMnLsQF4e1y9ezNRFi3jwhx+4zenko7g4smw2MBq5RinKvAwGgry9eV5R3eZWVuJwuXhu69YGgcG8eUKEcuedgmLgPspqpIpNVLqLppISov38qBo6FD+brfk0kq++Eipl98Xmhx9EB/u554RB86OPCppIeDhLRo6kolMn4VHocokO3+OPw1tviYIRGmx32gi708nj69bx6s6d1NjtHur1pzZtoqC6mkAvL2xOJ9WBgaJAVd8flwM5OQ0ej83gjxs28O2pU006WoA2AWmps3UxcMky+3NzGff551q6hArVn7SjQnGY3rkze+68Ex+jkb05OTyzebNHYeUuprjoAlCWhV9jr14N5/y5c5wvK8OVnc14tdvvcICS3w6CetA3KooDeXmsS08nMTCQRwcPJsTHh8eHDNGe/kLcxemdO+N0uZi6aBFPb9qkqZ4Lq6uRZZnfr1vHH9av5yGFd7kjK4tpX33F2jNnSC0p0dwbGsOkCAGzrVYO5OVx8/LlfH2pnGBEV1onSYxKTLwk8ZtOktg0bx5777yTYW6bU/f1ChCNgf9DaG0EPEOSpB2SJD0lSdJkSZIGSJI0XJKk+ZIkfQ6s4jc18BWF+gaqMZuZUFaGjzJqBcTOe/16hkRE8M2NNxJYWclfFixgwp492o/oJanZnVVyUJCHGXSX0FCNJBtusaCTJEYkJLAnN7dZ7kNZbS0uWdYWt7v69OFqt47MuJQULTZNzRG2OZ3c0rMnG+fNY+3NN/PHoUO1ZBKZlh31TXo9fmYzC48e5bmtW+kQEoIsy3zgpqh7c/du3tm3j/7vv4/NffFU48lAqH9vvln78pzRyPFJk9DdfTdBXl5EK4v7jC1bSD58GDkrC2bNEl0T1S7DnWj/xz+Km+Ib51KKxZs2beIfOTkMzc3luQULuD48HENlJUZZJtRioXdkJJ8fOcLpkhL2Kwun1WzmJpOJsUlJWgfQvfP01bFjnC8vJ7K0FMvnnzMtI4PrunXj7cREJqWm8o7JBE4nevV//TPzUX8WliwRXag772z5Z3Q6wTsbNw4++0zct3u3GG/V17fMB1T5noMGiUL8IrCtUWfmmMHA2507k96nD9EWC39OS+MGm40/Dh0KoHXIs61W5n7zDctPnmxIDLBYGv6+3bs9k0UaFR/qe6Sz04m3wcCYhx8W531zPKqffhIfV68WH0tLRYqHmmrg1tU+89lnfDt2LBlDhoix8NixgoKg8lDVc+AiC8DjRUVsOn+ehUePsis7u8n7f0bnzrygvK9OTZokOo1Tp2pjSlXxfkmorRVjTjWzuRnYlYLHXcmqQu1+qfxj92Pfl5vrwTmTZZlcJeu8MdUlvbSUAe+/z92rVlFeV8e/9+71+L5qMuyeRKKTJLqEhfG9Ys3iHkX25ZEjxAcEMCAmhmyrlRq73bOzePq04GT+6U+Cq6yeZ6dPw9NPiw3BxIlCrKPTkXnmDK9u3AhWK0PeeIMUWRZUl+xslimWSGEWC32joymtreVEURGDYmOZ3b07a+bM4cZu3fjp1lvR63ScvMA4t09UFIMUTuj3aWmklZSg1+mwOZ3sys5ms9skpLC6Wism/7xxIxnl5XRrFJHpjjh/f464qbaPFhby9t69PNUo7elCkJXN9AcHDhCt2iZdIvQ6XZNgAR+jkdVz5mhft5Ts82tFayPgRxB+f3kIT8B/AI8C7YH3ZFkeLsvy3gs8xW/4mfBWTsDrAgPxNZk8VX1vvil4O88/T1xAAB/V1pKYn8+c9evpm5qKv9lMl7Aw4prhYPSNjtaKL5Nez5wePbijTx/iAwK0N/yIxERq7fZmdz3qxffefv14fuzYJp5z/mYzC5XgdDV0W22n+5vNhBgMRPn5kRwUpO3Yfmwln3WfUiypWcW7srO5v3//Jjm8mzIzxYK5enWDBUZ8vOg0KReIGrudkpoasubOhRtvxGI08mRsLH2ioujn7Y1LloVCrXt3kZCwebNY4NTFNCZGEOhnzkTW63lt506WKIvLiKIiJn7/Pa9+9x2jXS5mZWYyctcuOpw7x+niYia2b09uZaUwka2rQwasJhNJ6ekkBQZysqiId/fto1IpghbOmEG4xYLT5aLfjh0c8fOjRh2ruF/wzGYqu3UTXbf0dMFLUxZAlyzz4vbtPKPapCgoUxaHy4o1a4Ry1a0z3Sw+/liIJnx8BGcTRPE4enQDf7Mx1GMdP16MLNuARUeP8q+tW0lzswe5pUcPUYQmJrKxvJzuKSkYpk3jDw8/TIzSRVK7SUtPnNAWqQqlM1VZX88LHTpw+t13xRNarQ3d4kYFoEmv5/9dfTX3nz8vzpuuXcXItrkurVq0ffih4O+pat3p0wXfUbW3eewxohWx1/mwMOGp+PzzDebM0KBIvoAiWpblJhtEd6PqzefPE+DlxcZ583h29Gh6RUYyvXNnOoSEIEkSh/R67FFR1NjtbPnnP9lw9izXfvUV1y9e7DEmbDNUw+yffmqxG6z+1wuaETtF+vpi0On45PBhXt6xgyEffkhBVRWltbXcs2oV96uFNfDl0aNMXbSI4R9/zC2KgE2FuwVIuMWi8ehUqHm64Y2EBe5pRuros7yujsMFBYxPSaFvVBSnS0oY/vHHnoXOokWiyFu3TnR4H35YdHQfeKBhMzBmDBiNuGJjmZ6by26lY5ZYU8Pbn3wCiI30dqUoC1U6gCpUPrVa5FhMJtoFB7fK5/Np5Lk6VBFMNFZb78nJaZKp2081f28G13bqRLbVyhu7duGSZYqqq/no4EFWp6V5+GZeCDuzs/nb5s24ZLnJ/+JyIdxi4fvZswGazYL/NaMtPoBlsiy/L8vyrbIsT5BleZosy0/Ksryttcf+hsuDcIsF6a+K5sZiEaa3Dz7YUAx+9x3s2UP86dM4k5ORJYnrCgt5Zfx4hickYFHewKrBMqDlxF7ToQM/zp3L7wYNonNYGMtvvJEALy8ABsbE0C86mtd27eL/7d7tsWNdpuxu4wMCGJuc3GLbXb0gjkxM5LkxY8SdubkiT3XpUvpHR5OsHEtzRslny8o0q4AsqxWjXo9Okiivq6PW4WBMcjLXqYICBUfKykjt2JGFBQWiGHrhBVAXagWqj16PiAihZIyLo92OHSyYNInwggLS4uIoHjBAiBVuukksRsuWiUXZx0f4CSrYkZXFl0eP8pIiBFAv/BJCie2dlUVuYCDxlZWcKSsjU7m4vbt/P46CAlySxBsDB2I5c4YeubnkV1fz5tKl7FXI/clBQXw/ezbe9fXkm83MHzCgIeUiIIBBnTqxoHt3grt2paJHDwgKEl2g228X1iTAj2fPsvj4cb47fdqjK/LgDz8w95tvLp/CzWYTI0H31I624NVXhYp30ybRAdy2ramoobpaLIjQJquSKpuN361Zwys7d7Ls5Ekt4QDgqoQEPrvuOu3rXtHRYrPgpoD1M5tJDgpiT04OJr2emV26kFFeTp3DwSeHDrHkxAnWOhwNx6JaqSxcKF57NyHOYLMZr8xMmD1bFJ7x8WJhV5XpIIq4nJyGxJRHHhGdZy8vURC4E9kHDiTazw+jXs95f3+REmK1Qt++YmQMYlwMzXYAt2Rk8Ls1axj+ySfMWLyY8ro6/rZ5M/O+/dajs7Y3N5dOISH4m81c3a4dH0ydSrvgYPzMZtoFB7PmzBmmDR3K+fJyqnbv5okNG7TEmw3N8M5ahdv0otkRuRsKqqvZl5vLvatWUVBVRZ3DgV6nI8bfn6yKCr5SCqS00lKt++veVf9I5W/SwLt9etMmHl27ViuCRycl8fSIEYDn9amgqopgb29PfltlJd0WLtTG1wVVVXx44AArU1NxyTIjEhKY1b07gcr19YczZxrMkJvjv151legAd+kiusDKhuR4u3YN/E6gxGTC3+FgYmEhfzxzBjIzeVyhtcT6+zMkLo6/Dh+uRW66o2tYWKu50o3V6rO6daO92zk1sV07fIxG9uTkkGm1clV8PB9OncryG29skoyjospmY116OnankzOlpRTV1GiNAoAZixe3qhB2uFweGb6X01KmMSJ8fZnSoUOzXedfM1otAH/DfwkGDBCLx/nzohDZuVN0SlavFkXhqlVw6hTdZsygw7BhXO3vT++oKC0i6KkRIzRVGIhd4Pb58/ly+vQW7V4kSeLl8eMB+PTwYQ4q3QlZltlw9iyjk5I8LgTNQbWkUT8CDakNzz/P7wcN0nzrchpxek4WFXHDkiXcsGQJRwsKyLFamdqhA2aDgXqnE2t9PWdKSjx2ZeHe3nztcjEnJoZXd+4UPLoxYyA8nOOFhdoF90hBAZIkNVygbr5ZWGYcOIBZltnerRvL5s+nTo0wGzBALKwFBaIr6Db6cR93bezTh5pJk4TSWMX+/RR7eRFeU0NySQkfHzqEtb6e/NJS7JWV1Pv5UeHry9UjRuBVWAiyjK66mt319RgVkcx7+/fjcDjYGhkJcXFY1IVHr+etu++mz/z5dAsPp9JmY9/IkSxJToaOHTm2bBn2DRvEqKawEDIyyLZayaqowO50ajYnl0uNpy1kzdhLtIrGObLqeMluF+f3vHmiuPTzg549W326lampbMvMRJIkzeZBRbC3N51DQxkWH0+Mv3+LsYKqTcZN3boxMDZW429+qhT7ZfX1oI6I1OPftk10X/fta7BoUbvoivJYG2U/+mjDL1MpDc88I9TTJ0/C99+LAlOSRCEI4txKTkav09E+OJjPbDY+jIujTh0fh4WJc1btRDbzHv39unVsy8yk1m4nq6KCZzZvZtXp0xwvLNSU6yBoGc1NEAD6R0dzvrycguBglo4cSWJeHv7V1bxkMuFVX98ipaNFyDJs2kRhWBg5lZXYm/HzszudWmcxx2rlnlWr2Juby+SFC7lT2RA3TnzIsVrJq6zE5nRSUlPD4uPHmfbVV026TNb6er5PS2NLRgbfnT6NSa/nhbFj6RsdjUmv91DkF1RXE+F2DQDg+HH67drF0JMn0UkS350+zTv79vHm7t2E+vjQKTQUH6ORFTfdxJ8Vq6LjhYWi6N+3T3S1ly+n7pprKDKZRCGZkIDtww+Zfvo0f1JEaevdNilyZCSTZs/msRtv5B//+AfBdjs4nfR64w1AXMPfnDiRaxttklV0Cg2lsr7+gkkmDwwYwKxu3bTc4O4REUQrf/sfhg7lH6NH41RcDAqrqwm3WOgZGdlE/evOiVyXns63p04JQZzDQWltLaklJR4j9a9a4QTmVlaSbbUyXXGdqLsUf8WLQLjFQnFNTZu8Wn8t+K0A/DWhQwex8/vhBxFU//zzgkzfoYNYdFwupPbtMUZFaaMydYyodvw0yDJmZcd8IfiaTLw0bhyAtkPLslqx1tczuBW/MBAckg1z54qg9LIysbi5eeV1Tk3lm5tuwqzXN/G/+17xu8uyWrltxQocLhfdIyKY3L49YT4++JvNnCopoV1wMD0jInhn8mRCFQGIS+l6qgXOKzt2MGvZMh5TYrHOlZcT5evbMN5QlWMbN2LQ6bCGhPDJoUOM//xz0TUYPVp0Lk+c8Og+nSou9ti5fj55Mpa//12MMFeuhAEDcOblYTWbCa6rY9HSpQSnpZFfUEBsURHTT5+mzssLp16PJEk8v2cPocrCXertjWn/frLXruWDAwforghJnhs1ip8efJCXzGaedOPBRShik3u8vHhh7Fj2Pfcct/bvz79Xr+ZcUREB+flQU8Of16/nuq+/5u29ezUe6GXJMn3xxYbO6KUUgKNHCxWqOuZ87z3xfM88I3wW1YJw+fImdi2NIcsy3546RXJQED/OnctrEybw7OjR2veDvb2RJIlXJ0xg8fXXa2awjfHQwIG8f8013Nuvn7bReN7NiDe1pATXjTcKbuj8+Z4j+fvuExSNU6fEeaPXN4iQ3I6FDz4QheC774rCrVs3EXenQh1HPvqoGJWrXVBERKFvcDDvdOjAsN27RapNfn7DOarTiW7xgQMNGy9owpU65HYON6ZiNM5QVTHGrSN5RBn337dzJ6Peeou7f/rp4rol69fDjBlUnznDSwkJbExIoPSjj4SwwQ0H8/O1hf5gI57ryaIijhcW4t7LcskyxwoL2ZaVxbnycjIrKvjb5s2cKCoiXxEyqPjezcT7fHk5RuU9adDp6BQayqJjx7T0imyrlZjGAqfycvycTt7Ys4c+UVEeXfV2wcEeo9dxKSlYTCY+OXQIVANwHx+Ij+e5rl2ZOHAguWYzfPYZ561WMisqWJeeTnFNDd/7+xOYmIitXTvCY2PBZGKHvz/2hAQylSItvo1FSpRScDVWAj+1aROfK5scX5OJRceOUVpXx0+33oqXwaB1E70MBmxOJ+fLyzlRVERFXV2zo9jtmZlM+vJLdmRlUVFXxzM//URRTQ11TicOlwtfkwm9Tscfhgzh98o1rSV1sgp1gzEyMZExSUn8RaWRXCFE+vrikuXLqjD/T+O3AvDXBLXDoHLTVCQmNnhxJSeLorCgAKxWnhgwgCkdOmhWARqWLIFhwxoWlwtgVFIS8QEBHC8spLyujusVIUTvNiYGqCMP/vlPMa7+7jtxzMHBDUpFRBGyYMkSnHV1fHb4MF8dO0afqCg+vvZa7Wf6RUfz+NChvDRuHJ1CQymqrmbh0aM8M2oUvSIieOzAAebl5aFXIuROFBVRWV/P67t2kVlRwd7cXMpqazlfXq6R87XXzWSCJUuQgEpF3Vdjt4s8THfLEbfF+eblyz0WzDv79GlYXKOjoX17SkwmdDodHZRUlL+tXUtMeTmyLHPTqVPUIFIM+jkcnPL2xk+5wEiAxW6no1LUXpuZyY/79jG+a1eIiWHU888zw8302L3jC/DUtm0QEMCWmhoydu5klMJjS1MW+/1uY6dLGte5w+kURZDqm3cpBWBSkvChU5MvDh+G117zNDiePl2MuFvB2bIyzpaVcWPXrvibzeh1Og+Rkq9S8OkkSVPDNweTXk/vqCiMej1Rvr7a41SkFhcLU9zk5Abe6Y4dngXqkiXClqVdu4b7Z81qWPjffVeMgjMyhAef0Si+t3Ch+Prxxxten1dfbRCEIOgBr4wfL7qDdjsLjx4VheeWLUKIU15O6bBhXPv++/xdMal2ulxU1tdrIpfkoCAxti0vh5ISCqqq6FNczN+VrvDQRt1TFT0iIrTF/nxkJGdiY5mojJ07Z2VR3kZ/QFmW2fjWW1SeOUOmycTp/v1J7dgRR1WVuD65XJrKWt1szerWrVmhybxvv8XfZNK6NKklJby6axc7s7JwyTIyUOtwaKNbp1sB+JoiylHFcO7vpfkKpeHHc+e0/O04txhMwONaOsTPjxAfHy2zXLsGKvA1mZjSvj1H8/MbOrVBQThcLlYrz7N88GDO2my85iY8OJSXx3mrlbNAt4gIHnBLiUkvK6Ng0iQC7PY2Z6WrXcyCRsXW6rQ03ti9m2UnTvBdaiqyLCPLsrZRun/AAAbExDAyMZFjhYUYdTqcCp801O38VKGqqE8VF/Pi9u3axEEnSegliWdHjSIxMJC16em8vHMndQ7HBcUp0OBFGO3np0UuXkmo53prhemvCa3ZwEy/0O2XOsjfoEC1ywDPtAN1J67TQUKC8F6rrobRo+nw2mv8beRID8Uv0FB4ufvbXehXBwaSabWyJycHlywjSZJnAdUanE6R+KCid2+hHFS4XkmBgThsNhbs2MHT777Lm0qXMNLXl27h4czt2ZMhcXFE+vpi0uuZ3KEDUb6+HMjP5609e7hu4UJuevlljHv30qFHD2RfX2odDj4+eJAsqxW7y6WpB3+/bh0/nDnjOaIwGDzGtg9Nm0ZKcDAhPj6sOn2aJe7dDGWc7W6R0yMigsUzZ3JH4/gwp5Ni5aIZ5+VFiLc3YVVVXJOezuTTp3HJMlGBgTzQvz/JSuEYZ7Nh0OlwJCYyqKCAvqdPE1JRwYAzZwhslNXpjv7R0R6drMLqavD2JtPbm3qdjj4VFezctg0vpYNSVFODw+Ui2s+Pg/n5zfvdNQdZbsilVeGevxoWdtHKUw8013HS6eAvf7mgOtQd6hizUwtJJJdiFSFJUrMk8C9V4QIIPqnJJNJhVKxYIT66v38lSSTSNB57qzYfBoPoFv7lL60aWycHBYmi0W6n+OBByMxE9vERBWVODnsDA8nx8mJlZCR7c3IoqanBJcvM7dmTl8eP5wnVWiovT9AE6up4YP16Ji1dyp4776RnC16OkiTxTZcu/HXoUJAkjMOHa3zjiLIybnjhhQset4qS6moCTp3ii6Qkbr/7boZ26oQlNla8XwsLRUd43DioqSGzooJwi4VpzYw0H1REDtuysiitq6PWbidFcTsoqqnRxCM1drsmjmgXHKy9Z1UxzCsTJnB///486Wa5NSw+npu6dcOg05FbWYnT5Wo6GncrWOY6nay9+WbtOZoz1A+zWKiprqZWpxMbgttvF0ITnQ7atWPHoEE8u2ULe90sdo4o5vw6ScLLaPTgJR4vLKQoPp6IhATREGjFkBqaL2o0XiLwr23b+P369VpEqIpoPz/enjwZf7OZXdnZmsF/akkJn6mm6Ao+OniQ79PSqKir408//sgPbtdNk17Pw4MGcW2nTkiIJA4Q4/jTpaUeAqVqm42ZS5bw2s6dFFRVaWtEWDMF55XA/1wBiIh7+wswRbld43abcmUP7Tc0gU4nSP033ODhZ6cVgMo4APdWuGIV0ATqm7ykRHQLW/GmivP3pyo7m/hnn8VSW8tnjdICWsWpU+J3qGOTXr2ErYHLBbt3My4lhW7KMa1xu9ionJCHBg7kzYkTPZ4yzMdH4w3eu2IF/1AED58rb1Avg4EjBQUcLSigzuHAYjTiazKx+MQJbE6n5kavwS0ma2BSEl9ffz3/T/md69QRqbJgu2SZP2/cqP18uMXSfAZvcDD5qi/X668TPG4ciYGB/CEjg1tOnsQly7gkiXv79ydi0iTw8qJdfT2TSkpIiIhg8FVX0b+ujhVffkkvb290f/xjiy9xkLe3x6IFML1HDx4sKmJOZCRX33EHRp2O1ZJEXECANkK5rVcvZFn2GGV7YMMGDhw9KhIO3ntPdOgGDoR7723ozrnv1rt1a7NCt8343e+aJFRcCIUtqDTv79+/Rb5fW9BLKYbu69+fhTNmaN0O90UTaHh/uZ9jDz/s+TM+PvDss573XSCxoCUEeXuL970sU3D+PBne3gwbNownRo/mX2PGcMSt8Lx3wQI+uvtuqKwk3GJhZGKi4MGqm6P0dD47fJgeyvWgyQLhXlScOYP5zju5Zs0a/jh0KFepm9LkZHL69iUoN5e6NnQBC9LS8K6r42xUFDaXi5SgILxjYkQE5Pz5ohMKkJZGttVKfEAAKcHBPDVihOaBatDpmNerF4NiY5EQ1wZvoxGTXo9ZuXUICcGs11NlsyEDvkYj8QEB3NOvH39y21DrJInbevdmRqPiPCkwEIfLxRbFZqrJ+72oSCi1QTOjHxwbS6iPD/N69Wryd4d4e4PdTqnJJK6FXl6sTkujoKqK7rGxpJWVUaZMA54bM4YYf39OFRfjdLnQSRJHCgpYfvIkktLFzqio0ApkwNObsgVYjEZ8jEYPDmBjdXWt3a6p36tsNvIqKzUe5tGCAj46eNCjGG4s3nhbsdAprauj0mbT1Pheej1XxceTX1WFn8lEXEAAxbW11NrtmPR6ymprPRTpx4uK2JKRwWu7dvH7deu0UX9jlfKVQoTyujanPv+1olUfQOA00AM4B/xTluXblNv8K350v6Ep+vcX/DL3BVZdNFTbjYQEz8c0XnhcrobIqg0bYPJkuPXWhu8/9xx88YXHQ+ICAhi5axd+O3Yw+sCBi5fDq7u+Tz6BN94QF7yEBMGLysigQ0gIlfX1zMnOBqeTIXFxvH711dyuqklPngSFv6dCHV8E1tQw6MQJ7f68kBAmt2/PQwMHYnO5mL9yJXaXC0kxClV3lbGNRzhxcYLQ/+ab2l0dQkK4tmNHDubn87tHH+UrxfPPffw0sV07HmvJk+6WW0ifMwepSxcSo6ORXn4Zn02bCJ05k8yYGF4fMoTzKh8xPBySkgi22fjnqVN8P3s24/78ZwIffxyvwEC8nn22IUKtBUxISeEfo0axes4cxqekcGOfPsz74gse+eMf0U2fDkOH4r96NROVEa2XwcCEdu0w6vUeZrUaqqtxPvEEd330EdPffFOoEVXs3Ss6VNBQAA4YcGH/v7Zi9WrPjUwbd/lqIkphdTU6SSKk0eNu692bv48adcmHdUefPjw3Zgwzu3ShQ0gIDw8cCDTjYal2U1X6Qmiop/m1ivh4oXx+4AGRZtLCuLU13JuURLDdTpHJxIx+/ahPSGDD4MEsmzyZTUOG4GMy4eN0gtXK0vBwyMkh2umE3FwMOh1PxcQwPzOTG3Jz6eLewXHvfOfmCtrIqlXCr08ZmepWr2Zm5874qsduNBIyfToul4ubX3vNwyuuOVgVR4Es5fWJ8PXFNyYGh8uFO5PNfuAAZ8vKtM791I4deX7sWD6ZNo2Vs2YBwrh3RKPrX/uQEKL9/NBJEi+MHUu0nx9nSksJ8vbWOsWqkOBCdIAoZfOqjoqbjByLi8W1ODBQKwCDvL1Zc/PNzfrhhfj4gN1OidGocTZf2rGD0ro6qurrsTudpJWWcmuvXoxPSaFjSAinS0pwyLJH3vHL48YR5evLwqNHOV9ejo/afW5DAShJEinBwRxRXBGgaYcr0MsLCTGqz7ZauWbRIqZ99RUgxIE6hUsb5etLjJ+f5hP46s6d/EEVQYEmInEBRp2OD6dOZUhcHEcKCrjq44/FZliWcQHXde6M3eXyuM4eysujymajpLaWb1NTOVVczHWdOiFJEntycppuwi4z/M1mTHr9/04HUJblb2RZvgkYAaQDr0iStE2SpBG/yNH9hrYhPFzwzdzHj25FDO4jKhAXcHWEp/qMZWQI761+/QSP6/XXG54jJ4e+JhMOg4GKujriqqpaFY80QXq6GO3FxQkBi0pOj42F8+fpFBwM9fVE1tWR7XTSNSyMYfHxDRfkW24RNh1uF4TOyngvTrmIW5UdWoXFwuzu3T1yhKGh2An38SHK17f5kecjjwiLGjeoF/ptVVW8dugQdQ6HJi554+qr+YdbAkpjlDocvFdXh8VoFLwcg0F0hZ55hgUPP8zinj1xuFxkVlRoiuox3t5IMTENr/G8ecKHUBHjXAiSJDGxfXvCLRaeGzOGlMZdzqFDobSUWY89Rs+ICOb26IGP0cigmBg2nD1LZX09u7Kz+fH99wUPbfVqKpQddkVeHvbmOnt/+lNDJ/DZZz2705eK8HDBd9u8WRxHG/J9z5eXc9XHH/O7NWvIr6oi1Mfnkka9F4JJr2d8SorG81Q3IU9t3iz8KR0OzpaVcd2kSSyIj+fgxIns79hRpIW0BD8/sQG7665L7pze3rMnd2Vk4JIkUYT4+oqiU5IorK0lsX9/3nYvLmWZmJtuEjSMJ59kamYm92VkoFPTbVS4xyqqaRgffijORVWsU1Eh/v+dOgnF/d/+Rjtl4xZVUtLQKf/uO9HFVa8xCmyKH2KO8n4Ot1iIj4vjfEQEVXFxwmg9Pp7SN98kICfHg8sJ0C08XOt6JQcF8cqECfRWOrW39erFiIQEDDod/mYz13TsSIDZjM3pJNjbm7zKSk0I8v3s2ay86aYWX+MoN4XqnO7dm55bxcXiNW+cE90CQqqrwWrl3ZQUMiWJ1WlpmpXJiaIiimpqsDudTFT+3k6hoZqaWXVu0Ot0DIiJ8aB+1BiNHPb3b1MBCII6cqKoSBupqkVx57AwOoaEUG23YzGZsLtcWmRnlc3GilOnOJCXx5QOHegVGUmgl5cmGFpy/DgLjx5l47lzyIhJjr/ZrHXMY/z9mab4Sao4rxyvXpLYrjQo3CNCjxYWatZaLlnGS7EEO1FUxH3ff691Gq8UJEkiwte3CV/y14y2ruJ1QAVgBSyA14V//Df8opAkwelTdsGAKGLUgqExV+/QIfGYxkXcY495fv3ZZ+Iicu21JP397/RWirH2LY0KL4TTpwW/qfHvTEqCs2fparOBy8XW0FDC6utZ6x695C5UGTtWdExA4yb1V57zhVmzsG7axB+GDaNjaCj+ZjPzFLuQ0UlJhHp7k1ZSQoCXFya9nqI2qhSv6diRW3v14vouXXC6XJwqLtZGIL1ayroFXty+nbmKwWxzVjsfTJ3Kmjlz6BAczN7cXHpFRrL+llsY/v77IkrtSqB3b2rsdgqLizl79iwLDhzA7nQyq3t3Cqurmb18OQ+sXk35F19Qc/gwvPACpW4jlpLm1LLr1olOcnT0BU2HLwm+vqIAaEX1C2ik8W2ZmaxOS2va4b0CUAuP44WFzF62jKEffcTNy5eTFRHBgnHjuHPDBu4eMQKrYqd0xRAaSrQ6nvXy4gbVbkbB1C5d6Pb73wufOAXeqlJ0/Xphyp2YKJwFIiKEzyiIjvi+fXDPPaJzDyJqsa5OcI0/+UTwD596SnAIX3gB2rdHSkjA6edH7zNnsDmdoru0eXNDYfTcc4KaIsv47d1LZkQEtYpQItLXl/YhIfz19tvZ+sILYgPw3nsUVVUx/9y5Fm2r3PH+1Knsu+su7h8wQFPjPjlsGBEWiyYAifP3p8ZtvBnh69ukY+wOd4uSO/v2bfoDRUWC/5qSIigvF/LWlGWib70Vr+pq9oSGMn3xYp7atEkrAL0MBqz19UT5+WmbuE6hoZpBfbSfHz/OncuSmTPxNhq1DvQ/Ro1iW0UFd/TsKSY/LRzDkuPHeX7bNrZkZDBD6X7uzM5mv5KW4mM08um0aaSWlOBtMOBvNiPLMkuVSUtxTQ1/2LCBHKtVo9Isu+EG7ujTB5cs88nhw9rGuay2VnN46BMVha/JpHVE3TujRr2ejiEh6HU6KuvrkWVZE3rsyclh/dmz+JpMzO7enfiAAI3Xro7k1ejMK4lwH5//nQ6gJEmjJElaAOwHRgFvyLLcW5bltRd63G/4D0Cna9o9ePJJMTqrq/PM1jx+XBSIzUVRuSM6usFUNi2NWKVgis3PF7YWbYXLJX6+cXcBhC9aZiYBf/sbHaqq2JOcjNlmI8/NpFVLTFBtZ9xMqP81Zgy3KUVYYVAQA5KSPBa/1yZMYP0tt/Dc6NFIksThggL0CmemrXFVJr2eBwYM0MbRd6xcyY/nzqHX6Vrkn1TZbCw+flzj1rzUTPcu3GJhWHw8Eb6+PL9tG18eOSL4XDpd00L5ciEpiSPt21PvcBClKPEyKiqI9PVFAvbn5mK22eiQlUW2cj6VqX+jxcL+hx8WHpR//zt8+qkwb77nHqFKn/+fZYVkNeKbXSiF4HKhpfSBie3bC3qDgsuettIYgYF0cePxPjp4MAvdOK3TOnUCSaKn8hr179dP8InvuqvhOa66ShR1338v/q8qVq0SHxuPcpcuFe9pdfR2xx0NI2OjkZSZMxmnUDryV64k7ZtvPC00Ro+G/v0JTkvjnFtB5WcyER8QoJkLA1QHBJAbEED7tgqV3KBuBMItFiQlFx1ggHI9OVJQwIazZ5uNzHSHu7K2sRqcmhoxFg8NhSFDcFRW8ua331LekhAjLw8/h4NNO3aQ4PZeD7dY8DOZkCQJnSRppvwgCkBVtRxmsWA2GPjk0CEO5OVpfpU1djvo9ciIUSstZNe+sH07S0+c4NG1azHq9VzfpQvppaXcvWoVu7OzSVYUyQBmRQHvZTBoGcv1TifZirhOLVATAgPpExVFSW0tWRUV3Ne/P3f37UuAlxd9o6O5t18/FkyZwm29evG20tHvFh7OtzfdpE1rdJLEv0aPxmwwoJckTS387717RVynnx8dQ0KwGI0EeXuz7ORJvlPse+yXy8z+Avhf6wD+CAwAtgFmYK4kSW+qtyt+dL/h58HfX3Dt6upEnmR5udgRZmRA+/aiyFi0SIxmlNQJDbfcIhR4anSYnx9RxcUUBwYKDyi1G1BQIGwn3HNWjx0TyscnnxQ7/VOnxAWyuQJQ5filpjIqMFCz+PCurhY8KperwSz3yy/FAuXm/zUuJQXvc+eISUzkxv79m4xlzAYDQ+LiNML25vPnkZSc49VpaRe1m3O3NzhaUIBT4RU2hz2N1NUtjcwlSeIaZWT62q5d7G2jKvuSIUmsvOYaQIznAN7dt487Vq4ko6ICm93O+y+9hN7p5P0hQ3ABZSaTsDCJj+fp8nJqQIxku3YV0WN33CE6SBcrDLrMyKyo0HhaQBMu2JWASa/nD0OH0icqis+vu45HBw9m86238vdRo/hi+nRuVDYjxy+Hz+KFoNMRqChNDTodBp3OY7ymdks6fPwxq++8k5dmzhR84rvuEh3WpKQGviKIbuBnn4lrhFoAqkhKEu9btThR35+lpQ2UEsCnf39CJInokhIKH3sMu9OpxbKBKFZyKyupdTiwDx/OaxMm8MOcOUiShF6nY2K7dqw/exab00lBdTWl/v4EVVTA//t/YhPSRtzXvz+vTpigTQzemTyZCSkpjFW404+uXcsTGzawJSOj1SKwRagFfmgoDBzI9tBQPjt5kldbOk6lsDGGhXHjhAkkBwXx6ODBJAUGatcDgyRp6loQhbG64ewTFcVnhw+zMjWVv2zcyBNDh/LJtGl8ffy4tnk8Y7E0u8lvnPqTY7V6CFqOFxWREhSkdRWfHjmSjiEhWoOhY0iIuPYBMX5+9HGbgrQPDsZaX09pbS0PrF7Ne/v3o5cksYHu04cwi4Xnx4716LTG+vsz283WrIfyfN5GI5kVFWRbrRwvLKRvdDQ6NyW+eh6pooxfojBTaQM/tcJr/bWgZcarwG2/yFH8hisHlRC8YYMYnb73njBXVRdHVREZFSU81x55pOFrh6MhnaC0lGAg4f77icjNFYWhLAtT5z17hDBFIQZ7CEpAFITgaYOhomdPofA0GJgzYwbntmxhXWUl1QUFyIsXI111VUOklsUiLrCrV4uiIz5eFLQ7dhAwejQPKYT85uDOkekWHs5DAwdy8/LlfHTwYIMNRiuQJIkF11zDXd99R7XNRk5lJRV1dR67dBXbMjPxNZm4o08fj9FRc7i3f38Gxcby8Jo1/GvbNkJ9fHh29Ogrlm2Z7uWF3WAgUlmEVJK+Wa+npqYGF2JnuKV7dyqjoijt3VsIABSklZS0aA3yn0SW1Uqcvz+39uxJSW0tHVuwgLncuKFrV63r7O632Sk0lE6hoezJzW01b/WyIC6O75xOTEpuKcDKWbM8N0XJyTSRI8yd2+BJ6I4uXcSmzc1AmuRk+Pprz2nD7NnCmWDQIE81eOfOmA0GJhw6hKz8/JN33UVxQABbP/mEsro63hw5kqDKSsI7duSqRgV7n6golp08SVZFBUU1NZT4+xOQkSE6z59+KgpPh0NsVi/AnTTp9cKIXv0TgoL455gxTTjAv1+3jkGxsbx1Ab7pS+PGNR85pm7cIiPB1xdnu3ZQVeXhJegBlZ/30kvi/EH4M761Zw9D4+M5mJ+PXqfTftfSEyd4fts29DodiYGBjE1O5salSwEh2nhv/34yKirIslp5Ytgwnrfb2VNSQkpaGtbaWjFZUNC4K1lYXa2NYh0uFyXKz7sr6SN9fSnPyCC3spJpnTqRWlKCv9mMtb6eZ7du5W8jRwLiOutwufBr1CFtyY5JhXukXqSvL5IkYdLrybJaNZP6EMW8XS0Ax6WkkOpGD7pQmsnlgipA+vfevYxobj37laG1DmBHWZY/ben2ixzhb/h5uOOOhmLP6WwgbjfXHbnqKrEQ/OUvwqZFvagqmakSkDByJLoePaCqShQF6oVP3X25R4o99xwMHtwQSt+cClKSRAzbTTfhYzTy3JgxPDhoEE5Jov7NNxv85d56S3xULyzTpwsPwdxcwSVqQ/asust9efx4koOCnT5PQwAAmHhJREFUGBwby7bMzAvmYDaGSi4vqK7GKcvcumJFk9FDQVUV68+eZXhCAjf36KFZVbQEnSTRNzqaG7p2JbOiggN5eaxUc1yvAApqa6kJDye6kQm4Sa/HYLczb9Ik9r30Ek69njO3305+aKiHj+Rpd8+/ZrA/N5dbvvlG26FfTuRWVjJ/xQpym7EtyqqoID4ggBldunBXcxyt/xC6hoVxrLBQO88yKyqujGLxm2+IevNNj+5KtJ9fqxuQC6Kxr2VcXPPFlsEgxCzuwoPERPQDBnD32bOYbTZemD2buN69qTeZqDcacbhc/NSzJ0tHjqR7M5mxCQp3OaOigj05OZQEBGBw/92vviqEas3l6LYB7mNcNdliV3Z2s+dWttXKjUuX0jksjHEpKWI64V5IKWbt6nXV1a0b1NfjVIqSOoeDh9esIVWxcalT30Nunbf0sjJsTqdW4Bh0OmqVru4ShXJj1OmIsFjIsVpJLy3lwQED6BERwedHjrAlI4P5Clc52N+f1xMTGajTMe7zz1mh0mhoKABV54KC6mq2ZWaSUV5Ord1Olc3Gv/fs0aL1wi0WInx9CVDyn48UFKCTJI3Wskq5vhdUVXHd118T6uPTRE3tkZncCgw6HaE+PtQ6HFTZbLy+axdZVivfnDqFSaejXXAwH06d6hEQMFvhMKe1cm36ubimQweSgoKo/wXGzb8EWisAr/5FjuI3XDn4+sJHH4k4LbhwNw7EOGjaNKHk3LFDdPUmT274frt2DVYkqakNo9+8PDFGVi80778vsi3dx75tFAhYIiIgNJRqvb4hNk4Vsjz5JNx+u/j8d79rGE8p7v0Xwv+bOJHnxozRRrl9o6PJr6rSSODucMlys/ydNWfO4GsyaWOUrIoKdjca2+7MzqbWbufWZry/LgR31fKVCjb/9tQpqmw2dMnJRJWW0t+NJxdks2Gpq0P29qa30hUtqK7mtJK3vPSGG/A1mTyMad1xIC+PB1av5ptTpzhZVCRiri4jVpw6xdRFizhSUMAHamdaQUVdHdb6+qbpDP8F6BoWRmltLflVVeRWVjL96695xD3d5L8Zjd9XF+pKBwV5FoCSBNdei16SiAkKInnCBO5TkisOvvEGC2bNwqEUCs3ZpKjdllPFxXx9/DgVUVEeI1ENavF1CegdGUmEry8LFFoENB3XV9tsTPvqK9JLSxsSc+65R1jiPP+86IC+9JLgWyvXuErFQ9C5dStkZnIoP59FR48y7KOPGPT++7RTR7PKdS29tFRTsfaPjuZPV11FF+W8OVFURHppqcdEQBU+jE1O5sOpUwlWOnwTlYmOUa8XI3qbDZxOj6Qf9brW0csLs8HAiaIiFuzfT6jFgkn5f7gXcLH+/tomwqjTcbasDH+zmb7R0drodtSnn/KHDRsoqKoixNubD6dOJdxi4eGBA/nq+uvb9L94YexYfq84MET6+uKrjLs3nD2Ltb6e9LIyjb/ZMzISk17PX4YPZ2hcHPN790av03mYTKtQ1fmXA0a9nqtTUsixWq/oJv2XQmsFoF6SpCBJkoKbu/0iR/gbfj4CAkQR9/LLDfe1ZaE0GkXB16OH+DohQXOpR6cTxZ47F+KjjwSBHISSEDwj1NoobPA1mSAoiCqTqcGPUN0pJyUJA2IVH34oPrbBPy3C15fxatICDaq+5niAK1NTGfvZZ03I+3/dtIkqm40wHx86KBf7HY0WoGyrFYMyqrkYqH5a6nNcCaxLT0eSJLr07Ut/WeZFxRPPp66OFz7+GJ/6euSgIOplWeQOb93KnpwcOoaEkBgYyKT27dmSkdHsTvuhH35gV3a2Nu48mJ/Pgv37m/Ah24KTRUVNOjEfugmD0tw7zTS8Xk3SGf4LoBY3/9q2jamLFgGeMXz/1Rg7Vtx+/3vxdeP8W3c0LgBBSzYJiIvj6ZEjiQ8IQJIkttnt/Bgfzw1du7LshhuajS7zMRrpExXFRwcPUu9wMOnqq7U0D1auFBF7ICgh998vDKMvksP378mTWXHTTXQJC2PH7bejk6QmRsbuPoY6SRKUFHUsvnSpNuEoTEkhWzlnK/39ISYGZ3U1zJ6N9cwZqu12ahwOThQVUWY0sjMwkBNVVZwvL+fGpUvZlplJpK8vYRYL0zt35q/DhyPLMs9t3Qo0JJ24ZJkDeXnE+vsT4++PJEl8ft11PDt6tCZ4sTudDdf48nKOFRVp/MbyzEwoKSHw9ttJNhpZoxRNFqOR0tpa9JLEv8aM0f5mk15Pj4gIj6JQvbapv6+yvt6jcB4UG8vqOXO4pWdP2rVx4z8mOZmblIaBauTt7ncYHxDAsEYbkmmdOvHGxIkEenkxNC6OpSdOcLqkhOKaGg7k5XG+vJzZy5bx7JYtbTqGtmCcck7//aefrry46wqjtRW5E0IB3Nxt35U9tN9w2TFypLAGaCz4aA06nSB3f/yx+NpkEoXYzp2QlibGxSpUs2aV89G/v/hZtx12a7AofnlVI0Y0qJcbF1NqUQpip3sJ9iOqs3tz3BF1zPnKjh3IsqwRm1WE+Phw4O676R8dzeLjx/n+9GnNtT6rokIznr1YDE9IYHBsLCeKii5qNN0WOF0ujhUWMrNLF/w6dMBPr8evpIQuYWF0zsggSdkl6y0W7vn+ezqGhnIwP59au10rYm7r1QuHy8X3aWlNnr9OeXyWohQ8qXQW3t3X8qUit7KSJzds0B4LYgx3yzffMHXRIi3pBYTNw+ikJEYlJjYpDtUiPuIK8SZ/DtoFB2MxmZpsFC5XV+KKwsdHdLluuEEUgffd1/LPBgc3LQCTk4W45JVXALG5m9y+PYuPH8fmdNIxJEQb9TaHZxRuGUCMmszRsaNwKFBpLN9/LyYFr74Kn3/e8ODMTHjiiQZT7mZg0us1eoNJrycuIKDJop7u9jcVVFWBmv0dGytynBcuhD/9iWmDBmkGyZX19eDvT+3AgRwxGnlWnWS44Z4ePZj77be8o3T+Ary8PBJJ1FHwqeJi2oeEMEhRLYf6+HC4oICebmPzCF9fD3/ETqGh4jptNEJ9PZX19RSWl4PLxZa33kJXUECozUaSYstzd9++mPR6wnx86B4erhU5PZTf0SEkhG23NUgC1AKxe3h4s+Pdixn5NodbevTA22DQxsk6SRJeqhcw6v7doEGY9Hpe3bmTh9es4a7vvuNRZT364cyZSxf4NEJ8QICWFz33Stl1/UJorQA8IctysizLSc3cLkxs+g3/nbjlFpHWcLEIDvbsGsbGanYszJzZwNFTofJr/P3FTv3pp9v8q1RuTrWbnUu9Xs+ja9eyJyeHpSdOYH3hhQbbER+fSzLQvVC2o8rrO1xQQEZFBaM//ZTx7osLQhSikquf3ryZCV98wbv79pFdWfmzPOjGJCeTWVHhMba5HFDd8vu7L56HDvFmQgLPZWSQ5O/Pvp07NXWn6qtXabPRX7GZCLNYCLNYxALnhsav4eT27TWPRPdxtrW+3kOF+Obu3aw/e5Ztbiryr1WaAvAXxfNR5SZ1CQuja3g4FXV1Hjw61dOxJUPu/ySMej2Lr7+eT6ZN482JE7WxWeNO0381dDq46aYLj4CjooRZ9IIFDffp9fDXv3qYg18VH0+VzUZmRcUFiz8Q6Rv39OsHQFJwMCxeLIou9Zgeekh0JZ9+WmwK3ZIneO45IX67CCrCiIQEtmdlaerd0yUlrDp9ms5hYcQHBLAnNxdZ7d7+4x/C1LpDB5g+HZtyDSqtraVSKTqPulw83K0b1fn5DZ58SiFiV+gXP547R6/ISH6cO5chbpOMSF9fbeQZ5uODxWTivv79eWbkSEpray8orHh29GjenjyZ62w2ZlVWQmkpf3/0UU7v38+a8HBuzcrC3+Hg/pIS7jUame/lpXnrzezaFYNOx5bbbuPdKQ2Jr5Ik8fbkyXx+3XXa+6xzWBjb5s9ntKKoDrdYeLyRkf6loHtEBHvuvJOdt99OQkAAMX5+hFssLD91qkX+bHxAAHN79mRfbq4mDsmsqNB8I9VN49myMi1z+FJRfYVTR34pXCGzsUuHJEkvSZJ0SpKkI5IkfSNJUqByf6IkSbWSJB1Sbu+6PaavJElHJUk6o1jUSMr9ZkmSvlbu3y1JUqLbY+ZJkpSm3Ob90n/nrx7upO1+/YQC8KefLstTq4rdKnVcGxfHnpwctmRkcN/33/P8tm0sy84WCxJ4GmBfBEJ8fDDq9ZrXlDvc/cpeb2SlEB8QoEWANU4l2JmdTWF19c8i3k9s146koCDeb8Rz+zlwyTJrzpzBYjIxND6+gQP6978TeNddhJw/jwR4BQay+fbbGZ2UxPiUFHpERDAwJoZot9Gfn8mkLXAq1rkbdwNzevTgg6lTmd65s3bh3XTuHKM//ZRH165FlmV2ZGWRqnRaTxQVaUVkakkJE5T/fYXCV1ILvHCLRTuWXCXF4UhBAUVK9FtgM4rs/wZE+PrSLTycIXFxmvFuc+fdrxozZ4qPCxY0eAM2g27h4dicTmodDs61oQi+vXdvdt5+uxhBJid7jqHnzhXuBtdcI65BqakNgjT1HG2j4TuIzhPATwrH7qlNmyitrWVujx4kBgaSVlLC6yrP2W3q4N6t//zwYaz19ZplS6XBgEOSCHc4RKyaLBNisxHhVvw2x22UJIkOwcHIsky4xcKL27fz9t692nvvQnQHf7OZATEx/NnLi9lZWVBayp7AQP6+di0SMEehZURs3szt//43+qef1lI81I2bj5Kl7I4BMTEeSncQY/FZyuj235MmcWNzdl+XAKNeT0JgIB1CQoj196ewupp6h4P39+9v8TFTGqUQLZwxQ3OHSC8txelyccOSJby6c+fPMnRWN3GNbcBq7Ha+PXXqsnUbrzRaKwDf+EWOwhPrgW6yLPdA5BA/6fa9dFmWeym3e9zufwe4C2iv3FTxyu1AmSzL7YDXgBcAFP7i08BAhM/h05IkNUr2/g0XhLrQ3n03qH5jFosYE6l8oUtEkPLcJd7eguuzaBH7FOGB+oY7W1YmLsCbNjW1nWkjdJLEuORkVp0+LdIx3C4IpbW1mpGw2p2K9vNjTvfuLL3hBm5REkaGJyTwxtUNWqkcq5Wy2loPz8CLhdlgYExSEmfLyjzUe5cCp8vFi9u3c8OSJXyflkaH4GBxUXdfRNXX7w9/gA0b8DWbeXHcOP6l5KY25vD4mkweFhqyLPPVsWP0iYoiPiCAHhERWjpAtJ8f5XV1fHb4MH/csAEQI9539+3joR9+0MbFnx0+zLSvvsLpclFcU0NcQADTOnXSfo/q9RXm46Mdz7HCQtacOcP8FSv44OBBjDrdZY9+uxKICwjAy2DgqMKZyqqoaD6W8NeGuDj429/E5+qYtBlE+PoyMDYWvSQ1q7htDEmShKihNXTtKvh5Dz4oxsJq5/kiPBiDvL25q29fcisrKaiq4kxpKbf06MG4lBSeHT2a8SkpfF1czL6AAGS3As59Q/TNqVOkl5XhdLm0DcmQ0lJC9HpWz57NxsBAelutdI6M5G1FYNdSMWcxmThVUsL7+/fzrXIteGD1aqCZLPPmEB5ORF6eNiE5VVJCbG0tAQ6Hp8K7qoon6usZnZiojZovBr2joth3110kBV3+ZXTxzJmscIvoa7z5dEewm93Nc2PG0CEkhOSgICRJYuO5cx5cwIM/g4c7MjGR+/r3R5ZlDyrH23v38uyWLex0o3s4XS6tINySkcGyEyfadN7/EmitAJwuSdLKlm5X4oBkWV4ny7L6iu4CLng2SpIUBfjLsrxTFtuwz4BpyrevBVS7mqXAGKU7OAFYL8tyqSzLZYii8zfF88VAHfE2vnDddFNDZ+4SEaqMO86Vlwuuj5cXWVYrSUFBbLn1VgbHxjbwcvz8Ljk/FWBYfDx1DgdPbdrEpC+/5NG1a6m22SitrdXGGSnBwXw3axYrZ83ikcGDmxQZg+PiNBK7qrAL+xkFIECKciH9x5YtP2s3mVZayuLjx7XUE6f7c732mujaPPAAbN/e0MFxg7/Z3EQl3bgAVBWuoxIT+er66/lw6lStUFdJ22/u3o1LlvlhzhyGJyTwZTMjGJvTSX5VFS5ZJtLXlxBvb8rr6nApIfQgFr2kwEDCLRa2ZmSwLzeXSpuN0yUlWjfxvx06SWJUYiLr0tMprK7muq+/5mll1P2rh2ro20pSkMVoxN9sbjkp41KgTgyOHBEjYZVKcJHRle2UrttqheeqnsM+RiNze/bE4XBwT8+erM7O1hZ/dSMzMjGRKpuNjefOkVFRQXldHZLFQq1eT0R+Pj1tNgZUVTG+qop9eXkkBgYSZrEwRhmhAvyQlsb8FSvIrKjAYjQS6uPTrNdo9IUEOSqiotDV1vL6wYNEKa91ey8vMUpXPWABiotJfv55XmzXTrPE+W+BSa/Hz2zmdWWj3VYLJXVE7mM04mcysTI11WOq4u7N6ZJlai9yrKtuRPfn5VFYXU2lG0/cnUd6/+rVzFyyBIfLxaNr13qIwf7TaK0AHIwowLYCLwOvNLpdacwHfnD7OkmSpIOSJP0kSZLKlo0B3JO3s5X71O9lAShFZQUQ4n5/M4/5DW3BLbfAbbd5pgdcJkiSRHJQkAdHqrC6mihfX7yNRpKDgjhfXu5RGH12+DAjP/nkooUTqtWEqvTbkpHBiE8+IbeykviAAG7s1o2vr7/eI2GiMXSSxMa5c3l+7Fjtvp/TAQSholMLzZ+jNFPHjOrYxmNEctVV8Mc/is/N5mYLaf9mxr2NC0BVMNMhJASTXu8xFmkXHKxxcGL9/QmzWLijTx8P0Yc7VEudSCWX1SXLrExNJbOiApNeT4RiEnt1u3Zszcxk8/nzWnEY6uOjZY62hmOFhUxdtIgFzYyTDuTlNUlLuNwYFBtLlc2mea3tacFa51eH+HixKXz2WSE2a2HEe768nCCv/9/eeYdJVd5v//NM2dneC+zSl957VToCiqBgVxSxxCRGfzGJMSbRRKOxRBONrxoL9oIFRRRUBASkd5De2y7be5udmef945Q9M1vYXdoCz+e69trZM3POnNkzM+d7vuW+g09vAFiDliCgDao1AOM74WV9eCnFkmlrEx2tiU87HPxp8WJa/PvfvLtli+bAAYxPTWVndjallZVmhu63117LnvBwRubkaM5LWVkMsdvxScnlH3xAVkkJGy3ZqHl79rA1I4NPt28nr7ychNBQs6XkkREjmDVlCs+MG1e/QQvd0u+S3Fwzy9i7UyetlG70EI4eXfX4Y8cCt9BkuKRVKwYkJ5NeXEy5x8PlH3xA/9deqzZcZQTsLSIjySopYX1aGi0iIynzeMgrL+fBYcPoFB/vZwX6v/XrufSttxo0mDWkRQuigoN5ae1aLv/gA67/7DOzirQtM5O1x48jpWR9WhqH8/PZmJ6OT0pTYqzwdL73G8nJAsBmwMNAd7Ry8DggW0q5VErZ6IYvIcQPQoifa/iZYnnMnwEP8IG+KB1oJaXsAzwAfCiEiARqSv8YUUBt99W1TuC+3i2EWC+EWJ91no98n1bCwjTpBb1v5HTTITaWXdnZWv/NF1+wKzvbnPBMjY3FrXtRGry4Zg3FbjfpDVSDbxWQwbT6CFuvyk+G025nZJs2ZsnnVF08IlwuFk6fDmg9RY2ZCC6trORvP/6IEIJ3rrqKlXfcwdWGhmM9iXS5zD48g8AA0JBk6WCxHrNiBMNd9BNOV0sP0TPjxrHurrt4RheV3aAHQskREcSGhODx+fjVN9+w9PBhWkRGmkHxjd27Y7fZ/ORUwpzOejtuvL91K2lFRby2YQP3fP01+/XXcCAvj7vnzeOFk/lknyJG9saYcnZ7vWdGHPpso2v/AZos1HPV8wRZJSXkl5eTEBZWowbnKT33v/8Nf/gDjBun6YTOnKnZoVn7LYuL/b3RA0jRj43xmbNm84MdDi0AtNspqqigtLKS/6xebWYLc8vK6BgbS0RQkCmU/PyaNbibNeOyrCytH/HECXrFxPh9RxjBiJSSXfoAg5FZGtWmDd9Pn866u+5icqdO9ExKMocuTkpysqad+te/0vvqq6F1a0befLN23803a/aaDz1UVbVpwgEgaKXyg3l5fjae9y1YwIa0NObu2kV2aSlPjx3Lt7fcAsDEDz7gnq+/5uYePUyv8BdWr6ZNVJSZYHB7vWYAf1A/DpklJbVepBo47XbGp6aaF8CZJSVs1m1KVx49yq+++cYvOP1sxw5265WK9OJiHlq06DT9VxpPnQGglNIrpfxWSnkbMBjYB/wohPjNqTyplHKslLJ7DT9zQRvQACYBN+tlXaSUFVLKHP32BmA/0BEte2ctE7cAjMvpY0BLfZsOIArItS6vYZ3AfX1NStlfStk/IaD5VXHmGJSSQrHbzcOLFpkZMEN93SiPHsjLI7OkhE3p6eaX6dYGlntCnU5z3fGpqTw4bBjLbr+dV664osH9LA6bjS+uv55HRozw82FtLFHBwbSLiWHRwYO1ii/XhXEiGZ+aik23VqrNu7g2Il2uahnAwCGQvTk5JIaFmU3kgZgBoOXzYwSB8aGhCCHMnsHv9u8n1OmkRWSkOS1qTIxavX0TwsIY2bo1lXqf16CUFIQQ9RoqAPwkfdanpfHsypVAlZ6gNTtwJrCW7/4zYQJen++UJxObDPfeq7n0jBsHixdX9eLpGL2PbaKj2Zeby1e7d9c7c3tSLr0Urr8e/vlPzWFo6FDt+Y2S9IEDmhzW00/XuolATcJAH++EkhIICqJUDxCMwP2ZceM4WliI3WajRWSkOTkPQFwcPbp00Z4/IwN7s2Z+FYP9eXkUVlTwc2YmhRUVJIaFsScnhwN5eSTp2b/Az65PSu6eN4/FdfRbAjBtGkyZwh0DBjDvjjtINjKaQUGapE5sLPzud1o7jdXTvQkyrGVLit1uUxvxSV2O5hdff83jy5bx2+++w6XLx1ht4v6yZAntY2PpkZhIhddLy6goThQX88iSJQybNcu8oN2fm4vUM7OGhExd3FGDA5XVYcbqmvTpjh3YhCBWTxI0BQ3Bk04B65O0U4H3gV8DLwJzztQOCSEmAH8EJkspSy3LE4QQdv12O7RhjwNSynSgSAgxWO/vuxWYq6/2FWBM+F4DLNYDyu+Ay3SR6xjgMn2ZookwMCUFmxCsT0ujm65BN0RvTjYCs51ZWUz68EPumjfPDAQCywH1wWgcNqziQp1O/y/vBhDhcjG5U6cGB1q18ZfhwwHqFdgczs/nL4sXm0GMUf6tyyP5ZEQFB1PsdvvZ3UW6XFR6vZTowdnO7GwzgKsJIwC0ylY8NXYsUzp1MpdZ7ctiQ0KwCYHL4aB/cjJeKXlt0iR+HSBfZASRY9q2ZfFtt5EcEWFewZ+M/PJyP3/YrRkZZOhOHaCVoneewS9oq1zNJa1a0T0xsVGC2U0Sm00bEhswQJvENYYwjh2DykoW7t+Py+GgTXQ0hRUVPLZ0KdO/+OLM6CJ27KhlBo1hKkNM/NtvtWxcLQMF5gXcgQP+PslFRXyxYgUPJiWRHB5OeFCQ+d2TVVLCxxYJo2CHw7wo+vaWW7ClpGjDMYWF0KwZ3RMT+c3AgdzQvTuH8vMZ/c473D5XO3Xdqg+ZAbW62xzSy4oPWqVv6sBus9XeyiKEptd6mqWnTjcDA76XrcL+oJ0TNqank15U5HfRLKVkYvv2pq6kIWQ9f+9ev+rK/rw8UwGiPp/HuNBQs1JklORHWVy2rIL1bo+H5PBwJnboQGRQEOnFxadd67Wh1NntKYR4B638uwD4u5Ty57oef5p4CXABC/WT6Gp94nc48JgQwgN4gXuklMZ/95fA20CIvq9G3+CbwHtCiH1omb8bAKSUuUKIx4F1+uMes2xL0QSIcLno3awZm0+c4O8jR5IcEWFKJYQ6nTSPiPBzhsjTP7TLdW/fhgRgRhmqly5/0JTokZiIy+E46dTY9sxMbvvySwBaR0VR5Hbz4bZtRLpcpzSQkhIRgZSStKIiU7PNODluTE/nt/pV8qg6jNH7NW9Oj6QkP7uv5IgI/qr3JwGmZEa5x8OJ4mK+2bOHyzt0oNzjwWW3E22Z7jNIjY0lOSKCB4cNA7QS8+pjxyisqDBPvKWVlXh8Pr/s5KH8fA4XFNC7WTNmTZnCt/v28cn27czbs8cvM/jPn37iXd0H+3RjE4Knxo41G8l7JCYyZ9cuvD5ftYzTeYuhaXfkiKbVedVVFE+bxsK4OG7t1cu8MBiUksKa48fZdOJEoyZQ6yQ0VJM82rJF+9vICrndMHw4TJig9SsG8MHUqaw6dgznjBmgD3gAsGULwT4f1/buzUu7d+MqK6NXUhIlbreZRb68QwfTYvHja66h2O3WXmtMTJV/cHIyNiG4rXdvckpL/QJHgCmdOrFw/376JSdztS4bFMhpzyB16KAJ/kt5SoN1ZxJrdvYrXf7LabdT6fWy+LbbmPThh9w7f77ZwxsbEoLTbiejuJipXbqY55BIl4v+yck4bTYevvRSbvz8c4rdbn46cqRakHky/jx8OP2SkxncogUvr1vHH4YNIzU2lv+sXs3B/HwcNhsen48Kr5crWrfmf5MmseTQIU4UF5NbVuZ38Xu2Odk3zXS0Muv9wEohRKH+UySEOCNeVVLK9lLKloFyL1LKz6WU3aSUvaSUfaWU8yzrrNdLyKlSynstZeNyKeW1+jYHSikPWNaZpS9vL6V860y8FsWpce/AgTwyYgRtoqOrlS+NMnCrqCjTXxQ0Bf4vdu1iliU4PBl36mn8bk2wxC+EoHl4+El7G//funXm7bm7d5vlxLbR0aeUjTR6JI9YToI9kpIQQpjBH9Te/wfQLTGRt6ZMMYO8uijRA7ZHf/yR1ceOkVZURIjT6Xc8i91u/r1qFbuzs4lyucxm+9t696awooL3t241r6zv/OorRr/zjvn3wbw8rvnkE7w+H1EuFz2TkswA8tX16/lE7wUynmdbA1sKGsLYdu3MTESPpCQq9Gn080VD7KQYtl3HjoGeTclYuxbQgvUbundn2e2389z48dhtNr9BiMby7pYt3PT556yx9rINGaK5Fl1xBSxY4L9CLdkzIQRDExMZYA3+fD7N9SMmhoIePSitrCQ2JIQDeXmsT0+nwuulfWwsj40axZWdOgFaL7BRWfBzK7JM4MaFhrL4tiop2iR92O3NKVP41YABtQ57WAPA0zK01KEDFBU1SDbnXNBHv1A32ijev/pqnhwzhkiXy+wPN2gWHs5TY8ZwV9++DEhONtt9ckpLeXXSJP57+eU0j4hgyW230a95cw7k5XGf5T3iq4cne6TLxXXdutEqKoqnxo4l1Onklp49iQ4O5nhhoTlEVOH10laXpHHqQeG3NXgXn01O1gNok1JG6D+Rlp8IKWXTc11XXFD0TEqqJuxpYHypxoeGmrY8Bk8uX87L69bVe8JwSufOrL/77hr9SJsCyRERdQaAL61dy9rjx7m0VSsmtG9vWts1Cw/ngSFDTum5jayftbQaHhRUTXC5vn6fdfHG5MlcpZ84AX6zYAE2IbiqUye+3beP51etotzjYWtGBh9s22YGvUYJ3xgymbVpE+vS0pBSmj0469LSeHzpUuZaDNytYZZ1+MfgSEEBt8+dy1Kr3/UZooeeHf1u//5q2aDzloQErc/syBFzuCBDf98khYdjE4JQp5NgKWkRGWmWNF9et67BpbGX163ji507eXHNGvbk5PDr+fOr+gp1JxEyMrT9sDpo1PW+fcEig1tSAitXwtq1cNdd/F6X7SmtrGRvbi7lHg+llZV0qqv319pTHPCdFelysfauu5jZpw+v6tqAJ8M68HT8dHiHG0Hpv/7VYE/ls8lLl1/uFzCnxsaapeC/WKz0QAvAeyQl8Yv+/RFCmFnnQPtPIYTpwmJcgBWUl9Pz1VcpbOSgUnxoKMeLimgVGUmEy4XLbjfbl54bP55/jh7NlAYO5Z1uLpBag+Jiw8gAenw+2sfG8siIEebUnUFTaLI9HTQLD6+zSf5t3eqqeUQEd1rEXb+68Uazf7KxRLpcdIyL48tdu/xOykZOcVqXLlzVubOZyToVejdrRm55OX2aNTOFf6d06mTKOny4bRub0tP9JpCddjsRetO1EIIr9JPYofx8vy/5hxctYu7u3by/dau5zKrn+LshQ3jEUpK2YrhCnEmahYebGdLnV61i6aFD5JeXn3QSsUljs2mWke+/D7r+WmZRERw7RuK778KePbBuHYwZQ5ujR9makcHd8+Yxa9MmXlyzhq0ZGayox1BCVkkJszZt4gl9MMBguuHTGjgx26qVJjA/dapWEq7pf/zKK5pWnkFmJnz/Pd7ISConTza/W6wN/5Veb416fSbWALCGMr9NCH41YECdDh8GhRUV7MnJMSWWjp6OANDop1uypMrmswnisvRWBpIaG8vy229nhu5PXxLQ4+lyOGgZFeXXm2cwvVcv80KwY1wcRW43WSUljbbkLCgvJ7+8nK0ZGYQ5nbSOijK/Jye2b899gwf7vX/OBSoAVJyXGJmpYrcbIQSTO3Xy6zGDqgDwrU2beHDhQj9P2vMJw02jNqFS46ry5h49aBMdzYsTJ/LgsGGnzRXjyo4dOVJQQJ4lo2qEgiPatOEvw4c3+rmeWbGC/q+9xvtbt5JZUsKOrCwGpKSYwVDn+HhGtGljlqJPFBf7BYAhDodfifvRkSNx2u2cKC7muCVotmaDb+rRg0dHjOB2/SQBWoP8iNatiQ4O5pUrrvDTWftq924eXrSI0spK5u/dyz1ff33ay7RCCBbdeisrZs6keUQEc3fvZuy773J/YMnyfEOXxeDTTwHIcLkQRUXEf/IJ/OUv8Oc/Q2kpbVetIjstzcw8vbd1KzPnzuX+b7+ltLKyTokcq490pMtlXjDkW/rtTJKTYfJk7XeXLtrzWaZFAW3Zm29qt43+u8xM2LmTvw4ezJB338Xt9fLU2LG47Hbu6NOH5PBw3F5vrYEJAIY9ZA3Z5oby1e7dVHq9pk+ytUWj0VjtK/fsqfuxJSXwxhs1B8/nmBCnk+v1/3HgOQG0SsHOwGOOFoD/sn9/ru7cmd8OHkxCaCjFlZX8u5GSUIcLChBo78MTxcUkhIXVuD/nEhUAKs5LOsTG0jEuzs94PD40lOu6dePdq6+mdXQ0O7KyKKus5P+tW8figwer+dWeLzTXv5jf2bKlxl6fco+Hyzt0MHtNhrZsWWNJs7EYGQlrmakmjbTGYPTc/Wf1an44cAApJRPat+cm3U+0U3w8yRERfKq7lLy1ebOfLmFgGGYTgqSwME4UF5Ote8AaJ+UByclM7tSJG7t358pOnaqV/KOCg/nh1lsZkJLC6LZtWTFzJh9MnUpsSAjf79/P+1u38uTy5axPS2P1GdBLc9rtuBwOuiUksEzPOm44C6LUZ5T77tN+R0TAddexLSKCtqWlOKTUJk5zc+Hxx7msvBzS02l/4gSfXnstvzTKtsBfFi9muCHSm5UFn33mV6JcbgkAO8XF+fUELz98GOx2LRM5aZKW+Zs0SX+w3m7w7bf++2ztRTR8bdPTKU9L43vL+z3K5aLS52N027a0jo6mzOOpu3TdsaOmvffMM9XuklLy3pYtZNXiT5tdWmraYQJsPnGC1tHR9G3enEiXyy8AzC0r8++BbAjLlmnarm++qQ3H1OZX/b//wauvQhPQsquJhLAw5t14I3f361ftvvaxsaQXFdV4URHhcvGHYcOICw01Ewb7c3M5UVzMuw3QYy3TL1rCgoLMC9SpXbqc84xfICoAVJyXuBwOPpw2zU+uRQjBg8OG0TUhgW4JCezIyvLLWv3UxDWuasMI7N7YuNH0AzUorKggv7y8Wk/eaX1+vdnaKrxtTAKfiuB1YGDz3f79dI6Pp1VUFDP79GH2NdeYUi/GZGxaURHf6oH80JYtuS9AGga0jOn3+/fzy2++YU9ODi7d2qpjXByPjBhRp6uLFSEEneLj+ey66wiy23ltwwazJPvimjWNe9H1IDCoPt/kYXJKS6tOlNdcQ+aPPzL1F7/g/1q3ZnVMDAOt2aquXWHCBDrOns2/oqN58fvvaetycUffvvx7/HgAMxhOLy7WRI2fesoM0nLLylh97Jg5EDAuNZWOcXG8p09vz9q8WTuRf/lllU+x9bn79tUmX61Y+kQxBsPWrmVbcHCVBSZV/tQd4+IY3KIFHp+Pn/UBipzSUqpht8Nvf1ujY8mRggJeWLOGh2sJqG6ZM8cv87wjK8vseW0VFWV+Nr/avZvL3nuPX8+fzxYj+9oQQkM1gf/0dO1/9tJLNT/OkKWq6XU2EZpHRNToIW0Mja1PS2POzp0Uu9149WBvR1YWf/j+e6779FPze6PS62XKxx/z4po1ZNQSoAdiTP+6LM8/qJHSYmcSFQAqLkjax8aSXVpq6gKGOJ38dOSIn8zH+ULXhASzQfmwPoxxIC+PT7ZvZ/Q771BWWUnMGQwATdcKS0n1qbFjeXHixLp7nk6CkaEzBnq2Z2aacjJCCFIDGvSNMvD+3Fyig4N5ceLEGiUyOsfHc7ywkMySEny6WXuo08n49u0btZ+RLhdPjR3r91r35eaePvHiAG7t1YvfDBzITzNnEhYUpGWxzhPyy8sZ//77/Pa77/D6fDyyZAl/XbKEI4WF/FRQAImJ3Pjoo1XDFzNnapIjYWGMvOQSEisqTDHimJAQLcDQs1nvbtnC6MhI3EKQd+AA3/y//8e3Cxfi9np5YcIEvr3lFqbq74cuCQnc1qsX2zIyeGbFitp3eMAAzSrOeiytwsqGWPP337MzIgIsckQrjx0jLjSUzvHx/GHoUJLCwpBScrywkPHvv8+bFt9ZgwN5eX4Wl6BdTEzT+w2P1/KeMj4ra48fZ82xY2SWlNBbn4ZtFRXFzuxsfs7MNC0tARbs2+d30VZvbroJ/vMfbVimpilVtxsMBYDzsM/auKB94LvveHL5cka+/TbPrVpFidvNrV98wQr9nOGw2YgPCcHt9Zqi+vU9fxzIyyPU6WRwSgpPjhnD3BtuaJIyYyoAVFyQGOKpT/30EwAze/emtLKS2efhhKVNCF6YMIGeSUlsy8zkQF4ev//+e78T25nMALocDhLDwvxOJpEulxmUNpbPdHcGq8PHsIDpSCufXnutWc6tq5TSLiaGQr1PMCE0lGK3myW33eZnQddQhrdubQ4ZGYHopsZkWOpBQlgYt/XuTbDDQeuoqGpBQYnb3WT7WQ25np+OHOGGzz9n/t69fnZ9d4wdS0qXLlo5FLQAzMB4H+gBb0xwsBYMFhVBZSVf7d5NocPB0ZAQHl2xgkf37eP9jRtpFRVF25iYav7bxsXB3N27a+/Z7NNHKycbOoEAhw5BUhK5y5fz2x07yNczQbuuvprm8fE8MXo0fxs5ku1ZWfRp1gybEEQFB3Nn375szsgwj9cr69f7HaeskhKu+/RTU+wZNPuwdy3PXVZDT12RZQr13vnz+fX8+QghmKhf0LSJjqaoooIZX37JssOHmdypE21jYvhsxw6u+vjjxl30XnKJ5hF8+LCmXfjDD1WOLt99V3X755/hv/9l/ttvn9yR5BxxoriYDWlp3D1vHhvS0vxceAy+2r2bx5ctq7b8mm7dcNjteHw+Kn0+MxA/GftzcwkPCuLtq6/mstRUPz/ppoQKABUXJIEev2PbtSMxLKzeKfymhhCCse3asSMri+s+/dSv56d7YqI5DXimSImI4FhhIfctWOCXZWgsPinNE9/EDh3okpDAiNat/dxCArHbbGYQV1cA2L95cxJDQ+kUF8fQli3xSVnvL+666NOsGQ8MGcJLl1+Ow2Yz/YPPJElhYWSWlHAwL4+c0lI2pKUx4u23+UcNJ6tzTVpRkZ+dndW9ZnCLFrx91VXcYUypP/mkNh1sbSFo1UqbjtUHEGJCQsxeP2H0a/l8HAgNZaMefGd6PLWKR7eIjOSxUaPw+nx+llx+dO8ODofpEFJUUcGDhYVc2asX/2/tWpYfOcKcBx6A559nf1gY7WNiGN++PSPbtOF4YaGf7Ev/5GRKKyv51TffmMuszkTGBVSJ220GZYE6cEUVFdUyhDVN+D40bBhh+megl6WkPK5dO6b37Gn6pkOVv3aDadlSG/b46CPNL/g//9Gyf9YJ4ZUr4Z13eGTLlno7kpxNlh0+zKQPP+QXX3/NxvR0lh854nexbFxQxoeGmtO+w1u35skxY/hw2jS6xMeb/8sKj6fewfT+vDzaREeftkG8M0WdTiAKxflKi4ArrujgYOJDQ09LIHCumNSxI8+vWmX+/eCwYad12KMuUiIj+Vo/Mf+cmcnIOpw/6oNxMry0VSvaRkfz9pQp9RKs7pqQwOpjx/x6a6xIKflg2zbiQkN5ceJEQDOLP1FcbHqqNhYhBDf16AFoZfFGldcaSGJYGGvT0rj2008JCwri2q5dAc3C6k+XXGL2KTUFrBclES6XX+bK4/P5T0BGRmo/VoKCNM2+BQvgttsI0cuto7KzyWnThq2VleD18kqbNpidvZWVXFWHlpoRHH67b1/NFxfBwVov4KZNlFVWcuuXX3LU6QSXi2OFhdi9XuIrK/FdcglH33qLwXoflyFPY80qD23Zks7x8Wa5ELQ+s+/37yetqMjPp3xfbi6d4uJ4feNGBqak+PV5Ljl4sEo8GjgaMOH744wZfhdAPfQA8JquXXnokksA/ALAnzMzGRdgmVYvjIysrnnIhx9qPw6Hljn9xS/gnntomrlojUAZoYziYoQQ/G/SJL7fv5+eSUk8tWKFOVj2r8su8/tuyy4txeVwYBOCCq+33gHg0cJCOp8GP/gzjcoAKi5IXA4H30+fbvYEhQcFnfcBoFVi4m8jR3JlLSLZZwJrRjXVqmfWSN7RtQvvHTgQIQR2m61eV8v9dUmPaXogFMimEyf4SC/z92nWjGZ60Bco/HqqtIiM5EA9fYdPhaTwcFPLrMTtNv1NfVKaAwfnitLKSmbOncu83bspKC/n3vnzAXj9yiv57pZbeHLMGPrpmenK+k4y33ijJsvyq18htm1j6cqVPL1zJyNyc003kSNRUUR4PKxcuZKPNm2i4/79MH061CDYGxsSQv/kZD7cto3jhYX8Yt48Xra45gBaMLNjB2+uXcvR/HySi4sRDgfhixbx1lNPMeSJJ8jUew0N+alv9u6lRWSk3xBaeFAQr195pfl3WFAQH27bxrf79vkFfwBzdu5k9bFjlFVW8usBA/jk2mt5dtw4EsPCOBwQ8C3SS6svXX45/xg9ulr2O8huZ/Ftt/kpIljLnAWNFDI2rfz0Vg0TjweuvloL1i+/nCxjf5pgW4Lh62s4FRkVoH7JydzRty+P/vgjaYWFHC0sRIJf4A2a//xtvXrRPDycjOLiOj3ZZ23aZGYRC87wYN7pQgWAiguW2JAQHrrkElbecYepAn8+B4AAf7rkEu7o04dJHTueVeeSfpYS86lq4Hl8Phbs28dlqanVBj1OxsCUFObdeCOXW6y0rFgDvRCn84wFgK2jojiYl8dX1onRM0DvZs3IKCnhaEEBZR4P2zMzuVGXJtl2jgPAfbm5bM3I4O9Ll/KCZSq6V7NmBNntXJaayiuTJnFTjx78efjw+m300kthxgzYtQvuvpswrxdbUBA3zZ/Pxz/9xOjsbIiIoF1pKUGjR9MhNxd+9SutLFnLlP+M3r3xScn7W7eyIT2dWZs2+ct5DBwIHg8L16yhVWEhr23dSju3m0I9aPP6fHyv99sajjcFFRW0jIysdtFi/Uy2r+VCaWqXLqw+doz1aWlEulx0SUigXUwMo9q2pVVUlF/JN6+sjMUHDzKsZUsGt2jBhFoGmSJdLj8P6Wu7dTOrAwX1dESqRqB+opUJEyirrOS/djtvG4Gi282jRrawiZBTVsaglBQ+mjaNKzp08GsBMqbLnXY76cXFeLxec0DEQAjB/w0eTE5ZGTYh+GDbNvq8+mq1/6lPSl5et46HfvgBj89HsdtNRF2akE0EFQAqLmhsQpiCvolhYeSXl7PowAFz7P98Y1rXrvzS2jh/luiemGhKvmzJyCC7tJTfffcdn1q8c+vLvtxc3F5vo8vIdcm4GIHe59ddB0Co00mky3XaA8Db+/Qh1OnksaVL+dU333Dj55832L6sPvRMSqLS66W4spJD+fmkxsTwwJAhtIqKqrfTjU/KM+IvnGH5nxqB8JAWLfyCIpsQPDBkSLXMSp3ccw8Yrj7t2sEtt+CUkvalpQwaMQJiYujQuzf85jeaZp1BDeK+UCVVtN4yjPKf1at5buVKrWw9cCClHTtyPCeHSStXklhRQbvSUg6Gh/PGpEkcSk3lq7Iy+jVvblr2lbjdZg9ebdTmj90yMpJit5u9ubmkxsT4/b9aRUWZpfSN6ek8u3IlQI3T7nUR6XLx4LBhDEhObnwG0G4H4zP69NPwwQfw2GPw8ssUezzcOW8e79hsfGoEh5WVfLN3b+Oe6wyRU1pKnD4clBwRQUZxMTPnzsXt9bJEz6yGBQVhEwK3z+cXRFsRaIFiRkkJeeXl1foyre0gg994A5+URLpcHMjLY+bcufxr5Urm7d7NS2vX8tqGDWfmxTaCptNAolCcYVrrZcw//vADDwwZYvZzKU6O3WZj/s0387vvvmPp4cNMeP99QLNJC3E6WXzwIDP79KGoooKBKSm1fpGCJvcCNav0nyrpRUXEhISYpTrQbNZOdwAYGxLCbwcP5only83+rfTi4honDE8Fr89H8/Bwwt1uwpxOThQXU1JZScvIyFolQwK55pNPcNrtzL7mmtO6b4Y/9ag2bViiDwY9MWbMqW/YZoNHHoErroBevbQ+vVmzAJjaujUpXbpowxchIfD665po8dKlmltHDRjTwUb5TkrJ6xs3Eup0Mm/PHn6cMYPtnTpBQQHlNhszevcmdcsWDvboQVb79rQ/fJgDQjAxJYVyj4eX1q4lrajIlGEJZHjr1hzKz6df8+Z8tmMHiWFhXNqqFXnl5dzRpw9Pr1jBnpwcQp1OxrZr57duq6goCsrLWXn0KPdZXGAaq7cZFRzMvtxc5uzcyZPLl7P89tvrXTl4bcMGWj/yCOPDw7VAHEzx7MW7d7M7OxtnYiKVHg8UFmoDIk0IqQ9/xem9pENatuT1jRvZmpHBUMPpBS24Cw8Kwufz4a0hCJRSYrfZ8Hm9uOx2ymoYBtldw8VHpMvFl7t2sTUjo1oLwPCTDLydLVQAqLhoaGvJQuw7CxOcFyLdEhOreeP+7ccfgaqSCsCiW2+tVSNwe1YW0cHBpsPJ6eRAXl61IKxZeDhpZ0Cz7+ouXfz8ZzefOMFfFi+mf3KynxtFfZBSUlBRUa1vqKCiArvNZi4v0aWMUiIjWZ+WRnFFBeEnKTWdFpuwGjhWWGiWMJccOoQQwvRlPmVCQjQpEoOICCgqQsTH+0/9du2qCUMPGVJrABgRFESQ3Y7b6yXU6SS3rAyvnhE1bAX/GxZG3LFjLIqN5fHvv2dDUhKVDgfNIyI4GBWFz+OhS0ICK44eZbae9Q6rJZB6Xhew9knJox4PY9u18wu61hw/jldKMktKTLkqA6PX1pCvMkhqZAAY6XJRWFHBK+vXA5rsTOt6+Hb7pDQzVePvvrva/XtycghxOrm6c2c+FILOWVm083j4Vgh8UjaJ6dfcsjLcXq8ZPHdPTKRtTIx5IRBkt/Pm5MlsPnGCEKeTx5cuZdOJE2afsUG5x4NdCMqlJNjhoNLr9ct+l7jdPLtyJZEuF8Vut5ltDw8K8rOgtLL5xIkmEQCqErDiosE6yGB8gH1SMvbdd/20uBS1c1uvXmb/nbUE9uCwYX6P22zRyNuYns6xwkIWHzzI33/8kfVpaXRLSKjX1G998UnJ7J9/ZktGBsMC9AlbREZytLDwjJRBQy0n9r8vXcrWjAxmbdpUbXLzZMzfu5ex777L0gCJHeMEclOPHvx34kSC7HZWHztGSkQEmzMyuGnOnDq3a33Ndfnp1pdd2dksP3wYt9fLj4cO0bd5czPgdtpsp/WY+mFkZWoqqzqdmrB0LSVxIYQZQPdPTqaishKPPpQSHxpKWlERO4Tgmh07uGnDBpLCwxlTWEhbXUz+41atkF4v7aOj/f6fJ7P1sglRo+WgU38tlT5fNd1L4zsqrajIT2czxiJA3RCCHQ5yy8rI0zNW9e2BPtmE++7sbDrExprZ1ZbBwXQ7cgSflP5WjWeo/aA+bNffD130SW2bELyvO8QAfHXjjXRJSODGHj0Yn5pKkMPBKotsj6G3uS83F4fNppWBbTYqvF5eWb+evTk5pBUV8cTy5eSWlTG6bVuW33676ZIUERTEvtxchrRowZo77yQ+NJRueivNtoCM4LlCBYCKi4Ygu50Pp01jYEoKmaWlbEpPZ9KHH5JfXn5Grb0uJOw2m2m0bjS5D0xJ4bpu3Vh1xx3m46wiyXfPm8dVH3/MgwsXMm/PHtKKiugX2FR+iiw9dMjslwoMAFtHRVHh8dTqs3oqvDF5Mr8fOpS+zZv79ZVePXt2nSe+gvJyP+Fc42T1zd69PLJkCbfMmcODCxeaYtmXtmrFkJYtuapzZzadOEGinj09mRi1NQMRqC/XGG6ZM4fffvcdb2/eTG5ZGTd0724O2sSdoi90nYwapf2ubWgoOhrqmMoeoL/fru7cGXdmJr7MTG7t1YvcsjIWHTgAlZUMPnSILpmZRAUHkxwezk1G4OBw4PR4SBg1CizuHg31dS2sqOD7/fvNYGJgcrKfvzb4y1d1T0zk02uv5ckxYxqdUQvMMGbVMwC0VkjyAsqdPinZnZNDp7g48z3fqUcP4o8ehdJSU9uw2O1m8scf86cffmjUvls5nJ/P3F27uP6zz7TjpZNWVERBeTm3z53LuuPHkfqFYEZxMVszMrAJ4ZdpczkcvHbllfxx2DA/4fAQp5Pm4eFmW4VPSka8/TbXf/YZt8+di12/iDDkp3ZlZ3Pj558z9M03zb7Hhy+9FJfDQUJoKPnl5WxMT+dQfj7JERH8b8MGXpgwgafGjCE1JqbapPe5QpWAFRcVHePiaBcTw8+ZmczZuZNMS1Dg8flw1NG7drGTWVLCpvR0xrdvzz9Gj6ZrQgIRQUHmidBpt/PixIn8adEi9uXmkllSQlQt5cnT5YtZ7vEQ7HD4ZbcCm++NrMrB/PxT1gIMpGNcHB3j4iitrGRjejod4+KQwN6cHAprKOka/H3pUpYdPszAlBRemDDBzMxsSE83MyhWPTljO4b/6xPLlhERFERhRQVSylozb9ZS1daMjNPWd/npjh30T06mf3Kyub+/rqHsvSs7mx1ZWUzt0oXSykqyS0uZOns2fxg6lOv1aeZ68cc/arZxtR2/qKg6A8A/XnIJg1q04JLkZNw+H2V2O2F6Vvj5b74hPz+f/4waxRWHD9Nlxgzw+bB17w6bN+NwOonVj0+zuXNBn2huyHdFblkZkz/6yPSSbhcTw97cXP6wcCGr77yTSq+XEKeTubt2kV1aSnxoKGPbtaNtTIxf60pDubpLF/olJ3Pbl19SVllZ74sga89sRkmJXwYyvaiI0spKOsbFMbZdO4rcbm7o0oXCt98msaSE51at4pX16/n1gAGkFxWRXlSE2+s1h/EaSoXHw4y5c01dyceWLWN027ZsPnGCu+bNIywoiBK3m/e2biUmJIRnV67k6717kVLSMymJ4ACtzL7Nm9conN88PNzsaz2kv5cM602HzYbDZqNVVBQen4+s0lKSwsJwe71UeDykJiSYQfqvBwzgsx07+O/atQQ7HGxMT+dgfj7dExPpFB9Pi8hIfm4iFnrqbKe46OgcH09pZSUL9u2jb/PmjNMbnJ/66ad6T1YGcvkHH/D7QFP5C4x7vv6aPy9eTG5ZGRPat6dVVBQxISF+hutDW7bk0latWH3sGJd/8AG7LQ4MCWFh/GbgQB6+9FI6nYb+lw1paVwyaxabT5wgz5LpCjzRdE1IINjhYOH+/af8nLVh9KUVVFRwe+/eQN2+oUaGZe3x4/x79WqzT88Iph43Ml46CXof0/j27ememEix2014UBAen69ag7mVg5agaJNlCvZUySsrM0+iUcHBrL/77holSgy/1aMFBTy+dClTZ88G4H8NnYR0OqtLkViJjoY6siqhTieXd+jAkV27KHQ4cPp8HNKzq3vKyqiw2djSqxdPTp+OuOMOuOsuru7enYEpKVwdG8v/6bZuruPHCdeDwYZM1+7Kzqbc4+EKvX3C+pn5+48/Mvztt9mVnc0/f/qJiKAgHho2zH9yWkp4+WXce/eSWVJC/9deq5etpcNmo11MDMtmzCDU6TQDnJNhLRVnlZTwwdat3Pj55+SWlZnZ6k7x8US4XNw3aBDBkZEk9u/PP9asAZ+P0spKv2O8vRGSRbllZdy3YAHDZs0yg7+OcXGUuN08smQJd82bB2DqZO7LzTVbeXZmZbErO7tBdpXNIyJMf+/Az1SQ3Y7NZiOnrAyJNpyVX15Opc+HT0penTQJ0Nospn7yCV4pKfN4kFKa/3NjUCQ5IoKiigpe1fsyzyUqAFRcdFzeoYPpoDCkRQueHDOGIS1a8OWuXdz6xRd8sXMnn+3YYcp6fLV7NzvrCAyl3tD946FD51yc90xxtKDADFJONkDTxtJkvlEPOp4eO5Yvr7+e23r3NsW5G0pmSQk3fPYZf1m8mNLKSj7Rm/G3ZWSYmY0vb7ih2nphQUFc0aED3+zdW+swSFllJY8sWcLDixZx6xdfNHjfOsfHMz41lcdGjjSnDnPqKLdVWISRP9m+nX25uabGHMCYgOlQIwMYZLfzt5EjAa3HyCYED9VRYtty4oQZ/KxPT2fe7t2NlkCyZlkHpqTUqklnxa2/zqtnz2ahpXR32vvCoqJg/35Yu7bOh23YsYMOJSW0LylhyeHDJOvfAw4pISKCW3r2NB8bHxrKy1dcwd3DhtGquJiiigrC09J4+d//ZsDOnWZZuS58UpJTWmpO9N4/eDCPjhjBDRYHnwX79mmTyXrA5HI4+Gj7du3z5nZDTg4cOwazZrH/F7/g8g8+AODlBgQQQgi6JiSwpZ69Z9YA8Itdu/j36tXszclh9bFjrD52jEiXy88GD4AZM2iTlaVNBKOVvA32nuQ7Y2N6Ot/v329aCXp9Pv70ww9+Vnqj27bld0OGANr/zMDt9dIhLo7MkhLmB8jQNCTjnRwRQW5ZGaWVlWbm/J2rriLS5cLlcGDXM3wuux0hBJmlpZS43YQ4nSTo5eQlBw9SWllJkdtNXlkZlT6fmfU11AKM78c3LO0E5woVACouOmxCYBTMUiIjEUJwp+FRCjyxfDlP/fQTx4uK2JiezmNLl/JgHSdZayZgxpdfnqG9Prd8YtH723iSTNLE9u3pqdtTGU3VqbGxp2xb9vHPP7MvN5dv9+1j+FtvmQ4JaUVFfKCfOAItAA1u7tkTj8/nZ7ll4PZ6ufvrr5m/dy/f79/PjqwsfqpFVLg2bELwxJgx9EtONnvhDtVSkpw6ezY5paX8bsgQ1t11F2PatgXgsVGj6BAXxx19+hBkt/P+1Kk1rt8mOpqJ7dszo3dvEkJDWXP8OGU1DHiUezwsPXyY3s2a0T85maKKCv6+dClf7trVoNdmYAy2PDlmDC9fcUU1v+1AskpKKKll8KSxAeDC/fvNspwfRj/er35V84r79sEvfkH2vn04pOT9yy+nXEq26PqFV6WksP6ee/i/wYOrrdqhd2+eefpp3rzpJrw+HyFOJy/n59PL7dbcMCz+x4H8/ccfGa9LJoEmH3Rlp078buhQ3rUMJLSIjPSbrj+cn88D330HDz8M48eb/rsnLD2DgaXNk9G3eXP25OSYGbO6yC4tNUXat1suftenpbE+LY3+ycnVpZ66dycmIQECLrIiKirYV5sXM7AjK4u7583j4UWLTKvL7VlZbEhP5+YePcwsXrPwcLokJJjP+9fhw/FKyf68PDND2Cw8nCfGjGFndjb55eUNmrQ1bP22ZmSQV15OVHAw3RIT6Rwfj00IU3/090OH0jo6Gq/Ph8fnY1d2Nv9ZvRqAwwUFlLjdSClx2GxmEHxD9+5sOnGC44WFpMbGcqk+/BPYX3m2UQGg4qLEOP0YE4y9mjXjgSFDuK1XL/MxC/fvN+2tYmro5fp0+3Zmzp1bTQNqa0YGz6xYQYV+5XchsDM7m15JSQxITubdLVsocbtZdfQov/rmm2o2XymRkfxX9+HdoPfFnSxYqA+19RB9qpfyaurrMWgRGYnTbq82nfvRtm0MffPNahne//v220bvZ6yeAXx6xQo8lmyb1+fjQF6emUntok9CPz56NO9PnUrHuDg+mjbNFPruHB9PamxsjXqVj48ezf2DB/OLfv20qcRAezO04Du7tNTvJAr+vYUNwcge1SerUuJ2c/OcOdiE4MWJE09Lb63H5+NPixYxvaYM7bFjda/85ZewYQPZ27YRY7OROnIkXYqLqdD3q2cdvq1CCNonJfFTcjIenw+fw4H74EEwpFr0UmRNWIWRnx471rxtE8Iv4/uQVfJG53BBAegSSzz8MBIotfTUhjQwAOwUF4eUsl4DCNmlpbSKjMTlcJCj++FO6dSJr3bvJq2oqOb3gBCI9u3BGvQXFNB+0yb2bdtWqx1goFRKidttDj/d0L07L0yYwDPjxvHL/v0JdTpZc+edLL7tNiZ36sRoXajaeE8LIVirvxeyS0v97DNPRs+kJGxCsCk9nXyLldtTY8fy1NixzL3hBj659lpu6N6diKAg075SAE/+9BM/Z2by0tq1ZJeV4fH5iA4ONifAp/fsiRCC1zZsYPJHH7H08GFCnc5qgtJnGxUAKi5KjMEFqxbdTT16+JUnZ2/fjtvrpU10NOUej9mgDVrJ8OkVK9iakWEGIPcNGgTAzLlz+WT7djbombIlBw+eNGvWlDGm/jrHxzOjd2/cXi/bMjP5zYIFrD1+3C9DYGCViJnes+dp0QULbGBfdvvt5u0OcXH8T+/DqQmbEKRERPh94ZZVVvKcnnFoFxPjd4KGxmeprFp4L65Zw+pjxzicn8+od97huk8/Ne8z5CKC7PZaMxWzr7mGB/SyV038asAAgux2vqghq2dM/fZISiI+NNTMbn2zdy/bdDeXhvBzZiYJYWH10m9cfewYuWVlPH/ZZQxt2ZIpuoCwgcfnY/7evVz50Uf1DkiN8n2NcjYzZ1bdrml7eiY6y+UiITgYXC5eP3SIUD0o6R1Qcg+keXg4xysr+d2vf83906ZxRffueJ9/XruzDp/jllFRRLpcLL7ttmplfesFTaD2HMDgbduwvgM9Ph+x+flaPyA0WHLH0P+rLTNt4PZ6OVxQQOvoaLOdISE0lEkW73EjW1aNpCReX7uWWUuXaoFgWRntS0rYWlTEkDffZM7Onaw8etRP7igwAFxx9KhZym0WHo4QgtFt2/rJ6US6XAghmNa1K53j4szyrMfn48tduwjXp3oD9RTrItTppFN8PJtOnCC/vNy86I90uRjbrh3BDgftYmLMoDI+NBQhBDYhqPB4uPWLL9iTk2NmCye2b2/KRCWFh9M1IcG8ILAJwctXXGFWSs4VKgBUXJT8d+JEbu3Vy8zWGFhFhLNLS4kJCaFjXBwH8vJ4fNkyM9VvLRH+eOgQdpuN67p18wt0/r50KZ/v2MEfFi7k7jqyBE2RHVlZZqkop7SUsspK2kRH00O/Sl6flmY+trbg9s+XXkqXhAQuCdA6awxzd+1irsV3d9aUKf4afCNHnvSE2FLXAzQwMiHTe/bk7auu4tLWrbm8QwfTQ7U2EdeTIYQwy3sfbtvGvfPnM+2TT/wCl69uvNFv/xtLhMtFi4DA1mC/LoptPM8tPXvyzU03UenzcfvcuQ1uV0gvKqKl3jJxMtanpREWFGQGNkawGxMSQlxoKG6vl4X795NeVMQPlt7AuqhT0Lp3b3jjDe12QDAsfT4eLyzk6dRU9oaFEa9nioMHDeKx3bv5V9u29K8jyIaq74XDYWFsj40l3+lkhZHBq2WwQkpJVkkJV3bsWGsm6qXLL+f+QYP8MqSTO3UiPj+fX86dq2WQv/gC33ffkXnrrUQVF/O2w8HULl3IKS1tkP1gi8hI7DZbnQHgMytWMOnDD/H6fHRPTGRE69aANpBhFZCutbSakECfwkJ67t7NuKAgrnK7SS0tNYPWJ5YtY/oXX/C7779njZ6pCyyDrtaXD2vZ8qTvtZzSUoQQ2G02JNpFnRCC+wcPJiwoiM927GhQJaZPs2b8nJlJdmlprRP8Qgj+OGwYCaGhdIqLY0qnTsSEhGgT+WjOIlEuF9O6duXtKVP4TLelbBEgUD/jyy/PuR6gCgAVFyUd4+K4b9Cgal8wQggWTp/OEH2qMyE01O+L4GhhISuPHuWRH3+kRWQk/fSTSYfYWIIdDt6YPJm7+/WjRWQkOaWl/LMBV6BNhcKKCm794gse0Y3dDW2slMhIQp1OejdrZnq/AubkXCBXd+nCe1dfXW9T9Ckff8wfFy6s8b53t241b/+iXz/zyvmZceP4x+jRZoBRFy2jojhaUGCK0xoZxbHt2hHqdBJkt/PYqFFmKflU+nNa11HyDnE6T6tlXLuYGPLLy6tNHR/Mz6dtgOtDUng4V+nZuBPFxfXuBzySn8+G9PR6W5KlFRWZAQdgljvjQ0N5QM9EbtQ1DOsalvHbB0sAaH3/mXTsCEJUCwBXbdnC3OhoPu3VixMtWtBGn9LmT3/ilmuv5ZczZpz0uY3gp9jtxu50QufOrI6JwQdg0XO0UlJZSbnHY05w18TgFi2YrredfDhtGo+NGsVfhw/nRX0C+PjNN3MgPJyBn3/Oy507kx8eTvKaNaaSQUNKiA6bjaSwsFo/r+UeD59s305uWRnRwcH0Skoye6NHtmnj1wZTqwai5bX+Mzycv6Sl0bG4GPQgrNzj4URxMfnl5fxab6/JC7jQWq5fXP8hQFw+kPl79/L3pUsBsAuB1+czp96n9+xpTtLXd/IZtP5at9fLofz8Gtt+DEbopWeHzUbn+HgSQkM1yzgheGzkSILsdgorKuiRlGQOfRg90NaMfn1cWc4kKgBUKAKICQlhoi7XcLyoyE/L7mBeHo8sWUJiWBj/GD2aFH3owAhIeiYlcXe/ftVO8DYh/PrBzhWH8/OruU0EYkggbMnI4IcDB7jzq68ASNFf09h27fyCjYaaze/NyeH/vv3Wb3ChwuPheGGhOdhhxSelqUt2SatW3NWvn3nf6LZt6zWNCloGpNzj4fv9+xn+1lv89rvvAPwEYaGqh68uGZeTYS2BN7OUTK/v1o25NUwqnwptY2Ko9Pn8BHK9Ph+H8/PNRn4rfx4+nB9uvRWXw1GnA05aURH9X3uNWZs20ee119iXm2sK4Z6MjJISP/uyDnFx+KQks7jY1N40M8z1/D9bhz8eW7q0mr/zjpISfjtoEO49e6oWrl7ND998Q7jHQ/eUFIiPp4fRKxoWBrfcUuUyUgfdEhIIDwoiraiIpLAwLm3dmk8GDWLYuHF8XlamTeoGYGTa6mvj1jEujss7dEAIQfOjRykOCWHRyJHMnDsXgO+OHGF9585E/Pwz/fX31I8Bn2WflHVmBRNCQ/20T0HL+n2/f7/Zy/zcZZfxw623EhMSQlRwMD/OmMFfhg9HCEH/5GQmB5Tz/bB+FjMyIDOTzpYAsFL/DjQ+W1JK8srKiA8N5Zlx4+gUH29eeAV+LgMxLlBBC8QMyzbQMrbGd/AD+ue8PliDvrrcV6xJgW6JiSSFh1Ph9eJyOLhT/34qDPheNPYtzOmkY1wcPZOSGtSjeCZQAaBCUQPGZOaYtm39vghKKyu1q9cBA+iemGh+gAMlIYwr5+GtW3P/oEF+Qcy5ZNonn/C7k+gVGv03+eXlfhIjxhSctRfIeFxN1Paafz1/Pj8dOcLPmZl8tG0ba44d89MLDOy9O1FcTIXHw8OXXsp/Jkyoc9/rwhhEefKnn0xpBqBaG4BxEjiVABDg7auu4uYePZh3441c3qEDL0yYwB+GDav2fKeK4fbwh4UL+evixRRWVHBcF98NzAAaRAcHM6NXL44WFvqVpssqK3lh9WoKKyrMMv9vFiyg3OPBKyXb6ilzlFFS4hf4hjqdzJoyhYKKCj62TJSD9n8ucbvZcuIEPxw4wC+//rrG/sujhYV+osgHA5xN7vn6a5bHxrLDGAiZORPuvZf1x48zMD+fxyZNYlSbNtXs1+qDEILBLVrQLDyc/02axB+GDaNvhw5UNmvG7OTkGieBv9+/H6fdziCrd3F9OHCA8PnzyYmO5tWNG02/YoBlvXvjcLtpefXVXJOfz6vr15uBtE9KBr7+Ov+vhoEgg8SwMD83kH25uXyyfTsPL1pkaqAG9veF617KAK9OmsQjI0bUvu/9+sEPP0CrVpCeDllZBElJa/07YmafPsSFhFDh9SKBIrebtKIi4kNDGd22rekyBA2bcrbbbNzRpw+xISFM69IFu81mfl8dKSio92fZ+tmsq9fV2r8ZGxLC3X37Uunz4bTZzG38Z/Vqv/fx3f36MbF9e8alpvL+1Km8MXlyvV/fmUIFgApFDbgcDpbcdht/uuQSLktN5YEhQ3hRn2yFKuHfO/v25eFLLzVLAgZ9mzdn/d138/z48abo8ZmwImsstQ04ZJaU8H0NgsnPjhtnfulZe9daRUVRUFHBTZ9/zs1z5uD1+fjXypUsPniQ/61fz6QPP6yWcTC+jB9atIjnVq3imZUr/YRiDR9St9fLt/v2mT2G9Snz1kWqHjyUuN2M1gN88Bflhaqr+8b2ABp0T0zkt0OGIITgsVGjGhV41Aejfyy3rIznV6/m0SVLzGxZXS4SneLjkVL66Tq+sXEj723dytd79vhNTBtOCAfy8pijS5LURmllJUUVFX4BIGiahADtLEFpi8hIcsvKeG7VKu746ise+uEH1qWlVdNrzC0rY11aGl3i43l23DgAXly71sx2SSm1QDY4mN3FxVBaClu34hGCEy4XbUtLaRUXx7OXXdao3suDeXn8cOAAN3TvTvekJJIjInjtyiu5pls3cpxO2LrV7HMDqPR6mb93L5e2atXwLM+MGQigMioKKSVtY2JMP9uOQ4cikpMRwMzdu3F7vWbPnFHafXvz5lo3nRAWRkZJCVJKKr1e/rJ4sXnfc6tWER4UVGfJui7M91J0NDRrBsuWmQMys7dtY82dd+Ky281SqFFq3ZKRYbZdTO7UifCgoGqfyUCsfsOP6aXeHw8fJshu5/dDh2qvNTTU/O697L336vUa/ALAerZpRLpcXJaaikfPABp94D4pzfc8aP/7x0ePJtTp5EBe3kn9ls8GKgBUKGohwuXCabcTHRzMTT16+E3qGV/q4UFBTO3Spc4p19MVUJxOArXAMoqL2Zeby2b9C+ulyy/nPxMm8PCll9IxLq5agGtcnbeJjiarpIQ9OTnszs4mvbiYj3/+mQcXLjTLudYA0Fr2Nb7EY4KD/SaJP9i6lcP5+czatIm/LF7M3/R+y1onD+tJQliY2bzeMjKSJ8eM4Z7+/as9zuhvKq6HXlpToHtiIg6bDa8egHy9dy979IxqXeVHQ8jXKmO0Xg+2bUKw5vhxit1unDYb8aGhpsPJk8uX17k/xvYCn9sYupFUvX9GtmlDZklJtZ6+QLHxtzZtQkrJpI4dGaVn5ffm5LBg3z5KKyurpqBdLvaFhYHu7Z35+9/jS0wk5dpr69znk3GtPr3dI0D+JC4mhgKnE89778FTTwHae3zBvn3kl5dzVefODX8yPUMXqwdP7XTNOYC7+vaFl14CID4+niC7nT/+8AOfbt/O/pN4Pe/Ozsbr81Hh8ZBXXs7CAwfYl5tr9juDJnJc0/u+sKKCl9etqyZ5ZWXhgQPc8NlnLDt8WMsAGp/1Dh1wZGVh93jILCkx2wjcXi9f6UHsYMs+zL/5ZubfdFOdr8V4f/x34kR66e03GcXFjG7b1gwehRC8fuWV5jr1+TxbA8DAC5hAoixTwhklJSSGh/PLgO+TvPJyvD5ftbL8DZ99ZrrinEtUAKhQ1JMgu52/DB/u96VSH4wewqYUAFq/DNOLirjiww+5ec4cNqSl4XI4GJCczCWtWjG1Sxc+nDatWoD75uTJXNetG22io/16Xax2Y4YLhDXzWVNJuLCigo3p6Yxq04ZQp5PPd+5k5ldfaScSnbHt2p0WKRkj4OvbvDmXpab6CYAbOPUsxfkSAI5u29ZPv9Lr87H40CFsQtRZbk4MC8PlcPDsypWmRpsRlOeVlTF/716OFhbilZLBKSlmDyhQa59ZTmmpadEVeAI13gdZpaV8cu21PDNunBlUAlzVubOpL3cgIJhZfuQIl7RqxUDdQ3ruDTeQGBbGDwcO8ODChTy5fDlSSkrsdo67XLB0KdlBQfy5qAji42l+6aW1/wMbwMiACyFD9DvX6dRKn8D1n33GY0uXEh8a6hfY1Bv9AqRS/3+nxsbyj9GjefjSS7WMbqtW0L8/tsxMZj3+OFctX84r69ebQZEQotrxkVJy85w5vL15M7llZYx77z02nziB027nRl1n0u31klZczCNLlrA1I8MvA/zTkSPM2rSJv1r67gxeXLOGF9esMYPDl9auxWcNlCdO1LKjJ06QUVJiZtY8Xi9f7tqF02730/AMdTrNthuvbnXok5KVR4/ywdateHw+01mkQ1wcCWFhtI2J4ZJWrfjNwIF++xbqdJpDF7UNvwQ+3hgMrKkE/OG2bdzz9desOHKEX+i9fgmhoaw8epQwp9MMAP+oD7A8uHAhg954g2dWrDC3YXXiOddtQU0uABRC/E0IcVwIsVn/udxy35+EEPuEELuFEOMty/sJIbbp970o9CMohHAJIWbry9cIIdpY1rlNCLFX/7ntrL5IxXnLVZ0706cOweGaMK4UGzoscbqxZlWswc2sTZsA7Yvp6717aWmZ3qyNTvHxPDhsWDWpBGMqD6per7XnyJjIM3xO28bEcCAvj8ySEsalppqCuAXl5ZwoLjZPsGMsJdtT4ZJWrVhy220n9QiNCAoit6yMvy5ezN46XAzOFMcKC5k6e7Z5bOpCCMFdffsSaimt7c7OxidlncdRCEFnfTjjr4sX87/1680TUnZpKR6fj0iXi1aRkYxs08avKb9GLT7gPcu0dlLACTRDDwAziotpFh7O6LZtiQoO5u8jR9KnWTNu7N6d8amphDqdfj1bHp+Po4WFfhngUKeTfs2bszM72yyBFrvdpJWX82lKCh9v3MiLbduyTX8PtjwFIXIpJU67nVt79ar2muJCQiA4mBw9aCvRe9oAuugOEg3CsH9zuSh+8EFaRUUxpVMn2sXE+FsoJibC/v34pGTqsmU0j4hgv/75llJSFHDxYgzaBDscZJeWcigvj0+2b6dFZKQZ2BdUVOCy21l2+DAz5841s55QZQ13IC/Pr31ESsm7W7bw7pYtLNOndw/k5fGZ0b/34IPQvTsARw4cYGtGBkNatKBnUhLh+oXx5e3b19rv99RPPzFz7ly+2LmT+xYs4N+rVzP4jTeYt2cPUcHBxIWEEGS38+m11/KfCROqHR/AzBDWZxpYCMHsa67hm5tuquZc5JOS51etYn1aGvd/+y3XdevGqjvuICYkhIN5eUQHB5vl82u6dvVb19CKlVKa71eo/XN0tjg1b6Yzx7+llP+yLhBCdAVuALoBycAPQoiOUkov8ApwN7AamA9MABYAdwB5Usr2QogbgKeB64UQscCjQH+0isQGIcRXUsq6c+gKRSMIdjgIdjjOeQbwhs8+M28bAaDb6+Xb/fsZ164diw4epMLjaZBrR5s6ZAyMMvMPBw6QX15OS73fC+D58ePZk5PD5hMnzGb+vs2bEx8aytGCAl7fuJHCigruHTiQa7t29ZuqPVXqI0sT4XKx/MgRCisqOFFczOtnsWFbSsm3+/ZxpKCAtzdv5vbevU+qh5YSGUnr6GgO5efXar9WE/+eMIHR77zDe9u2+WU8lh05gtfnwyEEIU4ncaGhOC3BZH55OWFBQWw5cYKWUVGU68b371sCwISAKc6s0lJCnU6K3W4Gvv466+++G4ArOnbkio4dufKjj0gvKmJfbq5plQWaDeGu7OxqciE9kpKYv28fbo8Hl8NBSWUlwQ4HHpeL/9emDUNzc8EQ4m1kXxtogVGl11vt9YCeAWzThpy4OJg9m58sWeuT9bHVyD/+of2+6iquHDKEK2vTJ0xKgtJSWkRGcqywkIigIL8ScGZJiV/v4be6d64QApfdTqnHw5GCAsa0bUuz8HB8UlLqdoPlNVpVC6xSPQfy8mgfG0ux2+3nQGMdyvk4KIhrn3oKMXq06dIydd06iIqiWXg4iWFhJIWFcV23brVe3JVWVjJf3+/AwZbd2dn0a968XpqURsaxNh/wQNrV0jcbKAtlXBhAdcklIQRBdjtur5dIl8u8eFpz/Dj36y5D7119da3PdbZochnAOpgCfCylrJBSHgT2AQOFEM2BSCnlKqnlvd8FrrKs845++zNgjJ4dHA8slFLm6kHfQrSgUaE4I0QHB5/TADDwSvOonmH63/r1lFVWMrZdO1M2oTY/3Zqoz2DGxvR0Xtuwgb8uWcK/V68mLjSUlIgIRrdt63eSMsqV1sGFxLCw0xr81ZeIoCCztB1yGgSbG8KnO3bw6vr1gHbcdtcjA2lMLseEhBAZFESZx8P0nj1Pul6ky0W/5s39pqIB9mRn4wMzgxgfGup3HPLKy9mTk8MdX33FZe+9x+QAR49WUVF+2cdyj4eiigqmWbJY1vdkYUWFWaKz22x+ki+GWO6egP6zy1JTsQlBXnk5baKjaR0dTXJEBKnNm3MiJob5+kRp5/j4BrtmWDFK1zVpIMaFhIAQ5ERHk+dw8OSCBaA/vlFZa+NYjxlT9+P0DFOky0WEy0VOWRmHCwro3awZoNlUPrtiBVfPns2J4mJTwB7ACOsqvF6SIyIIstvZnZOD2+erJtq+8uhRrvr4Y7/qgXE8Zm3axGx9otsYrLmma1cevvRSjhQWcqBvX01ix5Ai0t9j4UFBJIWF4fH5GNu2rXlsZICEzfHCQio8HrokJFSTVAHqPawSExxMVHCw2RfbGBbu3++XuQN4feNGMxt6MD+/2sDV99On89PMmYxr1868eDGqCS9fcYU52HMuaaoB4L1CiK1CiFlCCOO/mgIctTzmmL4sRb8duNxvHSmlBygA4urYlkJxRogNCan3FeiZIHDi7I2NGzlSUMA7ug5ch7g4s1R9aQOmVZPCwkgMC2NQSgpf3XijuTzU6eSfY8b4Gd4bdLGckI0AMMTpNMtlw1u3NoON0y2ZUl+sQrf7cnPZYHE+OdNYp2xtQrDk4EHKPR4eXrSIz/VSUiDG/zPE4SAhLIx/jRvH/brg8slwORx+2Z6hLVuSXVZGpMtlWpH1SEz008N8d8sWbvr8c7/tGDZXS2fMYM711/vdZwwCtY+NNXuyjGVur5fR77xjPtYuBCuOHuWJZcvwSWlmjSv0PkWjxB0dHEzHuDhKKyuJDw2lwuOhbXQ0Hp+PNJfL7KFraM9uIEYLQ00Bh9GikONycSgkhJKDB/n9kiUsGTWK8c2awbPPQn2kc44cgZUrtdsDB0INval+9Olj3rTbbBzMzaXS6zUHOj7fuZPZ27dztKCASR9+aO6rEIJYS9vGB9u28YuvvyY1JoZ20dF0T0z0K8fet2ABxwoLWXP8ON0SE4kKDjalgIyBMZsQjNJ7I1MiIsw+TtNzOCxM62vUj1+ky0W7mBj2nTiB79JL4a9/BeDRH39k5ldfmUGgUca29vX9dfhwZk2ZAmhOIfVBCEH3hAR+ruE4fL9/PyPffpvfzJ9fqzLCkoMH+dOiRTyq+zK/OHEikS4Xr23YwAurV5NXVkaBfhFiJTwoiGCHg5iQEPLLyymtrORAXh5RwcFmL+u55pwEgEKIH4QQP9fwMwWtnJsK9AbSgeeM1WrYlKxjeWPXCdzXu4UQ64UQ67Nq8DxVKOrDwJQUNp84UeOVbEPJLCnxy5DUByP4NKRsAoPRFpGRPDpiBH+65JIG9TgKIfjyhht46fLLSY6IYOH06fxl+HCW3X4741JT/QzvDaxaX0bmymrXFOxw8MX113NTjx700TMaZxvrtHJmSQm/+Pprc6jlTGP9IurdrBlLDh1i4f79fL9/P//86adaBcW/vOEG5t98M1Dl3mLw5PLlvKhPxgbistvxWCYVjYGSmOBg+icn49JPYn2bNzf9rj8N0PIDWHb4MO1jY2vM2BpZtISwMDNrbCyzWpMt0gWq3V4vX+zaxbLDh00LwNLKSkrcbi7/4ANunjOHwooKWkRGUuH1svzIEcanpjI+NdX8/wQ7HLxyxRWnnME19rMmYeIgu53woCBynE7y9efpW1BAxKpVWjl39mzQA4ca8Xrh1Vdh6lS47z4tWKzhM1MNS7DhEILReq9oXZqD7151FZEuF1HBwfTUgzSflGxMTyfIbsdus5EYFsaXN9zATEuAaRAfEmIGUgfy8tiakcHVnTvz7S23mMc0KTzcLJWbw19CUBIfDx4PfZs3Z3KnTnS12SgtLmZKjx68tHMnjy1dynzdo9rIJBfp35XWKsGUzp3pmZTEsttvr7cAPGg9y4fy86sFeWuOHaPY7WbVsWM1VmhKKyv534YN5t8Om40+zZrxwdSpjGrThg9//pmVus90bZqbsSEhSCmZOns28/bsaVCF5UxzTgJAKeVYKWX3Gn7mSikzpJReKaUPeB0wwv9jgDXkbwGk6ctb1LDcbx0hhAOIAnLr2FZN+/qalLK/lLJ/QhNI2SrOT4a0aIFPSjOr0Vh8UnL5Bx8w7ZNPGrSeEfB1TUgw/T0NnHY7NiFoFxPDtIDm5foQZLebGaiYkBA/6Ysgu52pXbowvHVrVt5xBz/ceitDLFfuw1u3JjU2lhmWaVDQvjQfGDKkWiP22cIIgv9pKcVZNb3OJNZy7Oi2bTmQl+c3XHO0Fk/cFpGRtIiMJDEsjOOWjG9BeTlzdu6s0fXD4/OxVs9uGk3ya44fp0t8PF9cfz0fTZvGoltvBbRg/9ZevUy7rJqoLbORaSmjGqVUI7NmlBefHz+eqOBgHDab6RjxyJIl5u0St5v7v/3WPFHnlZWZgy8Om82UhzF0EYe1bMmA05BpMfazNmeKuNBQchwOMwCMrqyEn38GI2tcl4fx+vVVHsYAJ07ULwAETWsP7TPXQk9OdIiN5b5Bg8xS7osTJzIgOZlnx40jKTycy9q1A7RhqM7x8X4exMZrjA8N9esDvlufdr2iY0d6JCVxMD/fFIifrvup39C9O8+MG8e4du3MwbBnV64kq6SEtzdvZn2zZuDxaJJZq1fT78EH4dgx0oODebtlS76y2PcZ9oSFlgDwrSlTeNLyWbRO69aHKJcLn5S8vXkzlV4vUkpeXrfOzFoD/GPZsmrT01/v2cO+3FzT8nNIixaEOJ00j4jg/sGDkVKamcHa+vmM940xSHOF7jLVFGhyQyBCiOZSSkNL4mrgZ/32V8CHQojn0YZAOgBrpZReIUSREGIwsAa4FfivZZ3bgFXANcBiKaUUQnwHPGkpL18G/OlMvzbFxYthybXo4EGWHjrEqHr0B23NyKCsstLvqt6qw5VXVlanXVFuWRkxwcEIIUgvKiLY4SDK5WJkmzYs1UVT3V6vn6r9meBhiwRH4HO5HA4+njbtlHq0zgT39O/PHX364HI4aB0dzU2ff862zMzTElAEIqXkrc2b6d2sGd0TE0kvKiIsKIh/jRtHy6go/mWUBnVOJk+TEhHhV/LfYjGcLygvN0v9AJ/t2GH23kW6XDwxZgwfbdtGv+bNTRHdQAYkJ/Pd/v38sVcv4kJC+Lelv6x3DRnbSq/XlA9JDAszyy/GxPG648cJcTr9JrPdXi/39O/Pf1avptzjIdjhILeszM82Lr+8nMKKCmxC4LTZ6J6YyPbMTGxCYBOCxYcOkVtWdsptBPtyc4kODq71cxIXEkKWz0e+/jxRHg/s2wfGvtZVOapJU7G+gufvvgu7d+P817+4t0MHbrj5ZlwOB7f26sX0nj0p93iq/V9/N3QoN3TvTkxICD2TknhBzwpHulwUVlSYvXwtLVmqu/r2ZXxqKq2jowlzOpFSciAvj5t69DADRbvN5ieubjDpo4/w+nzYmjWDigqaHTsGL79MSnk5P65cyTstW/J58+YUejy80rIlXy9fzrf5+fzf4MFmCTg8KIjkiAh66NO8jcEY/Hp53TocNhvDW7c2J+xTY2PZn5vLssOHKXa7/YbE0oqKcDkcvDJpEj8eOuQ3id5CH7wyqjG1+WRf0qoVzSMiSC8q4skxY7gsNbXRr+N00xR7AJ/RJV22AqOA3wJIKbcDnwA7gG+BX+sTwAC/BN5AGwzZjzYBDPAmECeE2Ac8ADykbysXeBxYp/88pi9TKM4IVrkUQx6lsKKCoooKSisreXX9er/Mz/q0NGbOncuv58/3y7ZYT+w76jixpBcVcdl775lTmUcKCmgVFYUQwmxWNk6Mv7B4654LmlrwB1pfk5F97Khrja09fvyM+DkvOXSIl9et418rV7L5xAl8UvKnSy5hQEoKzcLDqzXmB0p8BNIiMpKjhYXM2bkTn5SkFxWZOn9LArxj9+TkmD1f4UFBFJSXc6SgoM7p7tbR0fikpELXjbO+P2sq+Vub70OdTkKcThLDwjicn4/H5+O7/fuZkJpqZqPGtG1Lpc9Hr6Qkc9vNw8Or9egU6BPawXpglhQWZg4yxQYH47TZWHf8eJ3/q5OxKzvbnGKvja4JCWzPyuJw//6EeL24mjXTMnnG57OuHsADB7SBjmeegUmT4LLLQHe2OCmxsTBkCMTGYsvL8wtAhD69HYjDZqN1dDSRLhe3WIaEZk2ZwvjUVDPAaRMw0dpa/9sahPWsIyAzeiMNzTtfcDC43bT/4x+11/z444R7vfz60CHe2bSJt1auZMBjj3HVhg2UpKfzxa5dFFVUIITw68dtLBGWbaxPS+OaWbPg6FGQkkssAXLgxVVmSQmJYWHYhGC0PjFt5aNp08zbtX2PBdntfDB1KvcOHFhjkHwuaXIBoJRyupSyh5Syp5RysiUbiJTyCSllqpSyk5RygWX5er2EnCqlvFefBkZKWS6lvFZK2V5KOVBKecCyzix9eXsp5Vtn91UqLkYME3WjPHfdp58y9r33eOiHH3hj40aW6M4ZoPmaGliXW3u76vK3PKhflRpm8YcsJ/V2MTEIIbhv0CDW3XUXN+o6XYra8fh8rE9L46MaPF9PFcMG72hhIb/65hvA/wRs+B8bWnYnzQBGRrIzK4t/LFvGogMHWH3sGPvz8ggLCuIzfYhkb04Oe3Jy2JebS5DdThtdyuWZFSsorKioUQqo0uvlmRUr2JOTg10Ivti5k9k//0yQ3W6WzmrqbzJcXt6zDAS1iY7mUEEBGXoAaQ0sHh0xgv7Jyby4dq05+DHYknk1SoH5erBqBOpCCFL0548PDSU6ONi0EWwsRrk9UADayhUdOuDx+fg6JoboHj3gyis1LT+DmgJAKeGzz7RScatWMHo0/O1v8OST2t8NISYGTuICUhNCCJ4fP57Z11xDm+honhgzxsxyRgXoexqEOp30T04mLCjI1NeriS+uv97MJt7aqxehoaE0Ly8n3OuFxx7TxKGXLYM5c2hZXk4Pvc+zd2EhQ3Nz+e+aNWxITyfMMhx2Klj7CFcePqwFf8XFUFjIREtJNvDiKru0tEb5H4Mgu51/jB7N21ddddLnn9G7d7WS+7mmyZWAFYoLlUdGjGBjejpHCwvx+HxmT4jRRFymZwC9AVmmr/fsYVxqKm9v3szrGzeaSv91iYgamUKnXuZNLyricr1pOtTpZN1dd53213ch06dZMxYfPGg6EJxOjGNlDJ60jIqq1k+08o47yC0rY9KHH9arBFzh9ZoN7MVuN067nUP5+eSVlfHUTz+ZgaBxcj2kBzpd9LJvhxrKkCuPHuUTffijS3y8X+bv9j59aBYeXuPJ+mBeHhEul2nDB1oA+M3eveYkqTWz0jIqirv79uXfq1dTVFFBiMPB9d27s1kvZRtl5kP5+ZR5PNzcowe360MLxoleCEGLyMhqPtQNxehDM5wdaqJDXBwd4+LYk5NDy+TkKgs00ORcli6Figqw6k8ePGhax9EYtxArsbGwcWOjVh0e0A9s5Zlx42osa758xRXIk4iMhzqddI6PZ2N6Ou1jY7l32DB8hu+w4akeGqoFu//8J/xJ68ASwJ/37uWKQYPYmJ5uZnRPiZwcIqzlez0j/dju3RxPSCBVCFI8Ho673RQ+9BDceivobStZpaXmZ6I2GjKM0tRoWuGoQnGB0z0xkR8OHOBu3S7LinGyMuQTHh81ismdOrEnN5cVR47w8rp1VHq9dNDLbHUJ/honVrfXS2ZJCT4pzeyIouE8OmIEQXa733Tw6SJwYveL66+v1m8WZLebMiwnCwANz+qjhYVsTE9nfVoaQTYboU4npZWVZvAH2lDRZampJIWF4bLbkcDULl0YYPG9NrC+33pZev1CnU4O5+dXcz8wyC8vN3tRDdpER1PidpsN9IGlNaP/sHlEBMNatvTzok4IDcVpt5uyHld07OgXXD42ahSzpkzRtDcbOXVvBLdGu0ZtGTGDx0eN4qrOnfnzpZf69/BdcYWmfxc4NW3NClqm4htFbKw2aHKap9RHt21rSrpYsQlxUqcg0DK1V3TowLCWLbluwABuaNUKhg2DwIuEAQM0vUD9GCa53RiXPzW1FDSI0lIYP56Id981F43WL7TH5uVxV1YW4o9/5NnZsyE7m6IjR0DvV5VSklVSUmcG8HxHBYAKxVnkOv3LfquezYgKDqZv8+YkhIWZAaAx6NEpPp6WkZHklJby3f795jZaRkYSVItpO2jN9d/rjz9cUGCeKOPOkabehUBYUBD9k5NJO83enVJKjhUWntSaDjRZE5sQtR73tKIiHvjuO23YRw9YcsvKKPN4SImMJMrlqja9axOC3w8dSmxICG2io7mxe3emdenCphomnjMsr90qeXFV584sO3KkVmmi/PLyapaBgT2GgQGgsf0Qh4Obe/YkyG7nqbFjmXP99QghaBkZaZZ3A8vOl3foQM+kJGKCg8krK+NgXp6fi8MfFy7kNYu0h5XSykruW7CAoW++yc+ZmeSXlxPidJ50UCo1Npa/DB+uXWQZ5fNhwzQ9v6Ag0yfYxChN33UX6PaHjSYmRisp1zVtfA6IDw3l76NGVQXPL70EL7xQ/YHR0bB4MXz8McyZA0Cc/p3Vv4YLkQaht8BE6INKIU4n/ygv5+u0NIKGDNF6NXftItzjgZISihwO0PtGSyorKfd46i04fT6iAkCF4izSMymJZ8eNM/9eOH06r06aREJoKLtzcrh/wQL+u3YtQXY7raOizL4vw8oJtIm7sKAg02otkCP6ieDqzp0pKC/nL3rpJe4CvpI9G6RERHC8sLCaVMSpUOR2U+x2mxm3ukpeQggiXC5THy2Q/65Zw7LDh/lu/36zjcCQUOmVlGQOb0hgxcyZDEhOpldSktmKYBOCVceOcfOcOWaG2ipZdNQygNQsPJzPrruOVydNYkbv3kgpeeqnn/z0HA0KKirqDAB/O3hwtQDLOrlrrDu2XTuzN9EaGNSmqxYdHMyxwkKu/fRTnrVMUi86eLDWAPDtzZvNlowZX37Jh9u2+Qlg14vu3eH++zUdwPBwGD7czCoBWrB24oSW9brzzuoZsYZiZMnOgWf1aSM8XAsEW7WCiRO5beNGJmVnM+XNN8Hn034agx54hx0+zE2tWvHapEkEFRTQLCxMk9FJTweXi0j9fbsgMdEMAE3tygv4e1MFgArFWWZ469YEOxz0a97clKxoHxvL7uxsVhw9SmZJCW2io7HbbH6ZFkP5PtjhIEwv59WE0VN2fcBwR206Zor60SEujmK3u1rJ9lQwjlXLqCg+nDbtpM3k0bqlVWAQml5UZPYnrjx6lPCgIFJ0m68wp5O/jhhB1/h44kJC8Hi9bExP59nLLuO58eNNfcNBKSl+mbIvdu5k4Ouvs+roUfLKylh4wJyho1VUFG2io+mfnExsSAg+KVmXlsYHliGZ3LIydmZl1ZgBTAgN5bpu3RjeujU39ehR7XVay8UxNZRfr+rcmSC7nZt69Kg1O2eVSNqpZ9Vryp4Wu93mZ2lXgN0cnLz8Ww2bDaZPByOY79VLmwjOytKGNQYMgDff1AKQ0yHBZPSLNmIQpEkyZgwT09L425w5hP30kyaQXd/JaIMff9SCO730K4AHXnpJs1/Lz9eytO3aaYMgeXmE6pnxdYmJFObmQnm5KVN0IWcA1RCIQnGWsdtsLJw+3a9hvnezZnylT8IBTOrYEfAXF31kxAheXb+ee/r35zcLFlBYUcGbGzdybbduflNuaUVFOGw22sXE8Oy4cfxh4UKAaidhRcPopktk7MjKOm1q/kYA2CIysl79Tjd068bTK1awYN8+LrdML1750Ufm7WWHD+Ow2fjh1lvxSYnDZqNFZCTdExOZt2cPoJVl7frFx/q0NJrrOmtrLLIpT+gadcuPHGF3Tg5llZXM7NOHYre72lTs74YM4blVq/x0Ku9bsMAMqCIDsmhCCB6sY7DCSk1alx3j4lhy22046wigKi3l7uzSUqSUNdoxjnz7bWJCQlg4fbqZ5RyUkmL+L1ynGqQZPX6bNmnOIAYWi7NTwnjfnGxAqbgYNm+uKjmnpcGOHTB27OnZj9NFv35aEG1k/Sw6k/UiPx9+/3ttG1aMtoaCAujYUZPQ0bEBg/PyWN2xI0eDgjj0xRc8qr9XLuQLZxUAKhTngECNruGtWzO8dWsGpqTQKynJbGoXQvCbgQPJKSsjLjSUPw8fDmiabSuOHmXF0aOkFRXxu6FDTdmFE8XFpnbVqLZt6ZqQwI6srNMip3AxkxobS5A+fNBQMVePz0d+ebl5MvH4fHy5axezt28n1On0E96ti2ldu/LN3r08v2oVI9u0IdTprFGbMNTppEVkpN8xn9K5M2UeD/9ZvZqCigqmffIJOWVlJEdE0DU+vlbBZGPyd0iLFvxqwIAaH3Njjx5sOnHCzLSVezx+2bTyGkrDJ8MmBD4pa8wAAid1iZnapYvZw/Wf1avJKi3109H0SWn+f/LKyqj0ejlWWMj0nj25f/BgjhcW8tCiRfxF/8w1mi5dtIzTY4+BVU/wiitObbsG9Q0A77oL9u6Fr76C5GSYPFlbPncunGlvWo8HPv8crr5a64msi4gIePhhLUtqlfGprIT62PoZgV5NZePcXC0AjIrSXvO992pDO3//O7/bv59r+/fnSPPmLN2+3ZTjCexPvZBQJWCFogkQHRzM8+PHc0P37nRJSPArgd3WuzcPWK5WAcIsX4SH8vMZ/tZbpoVSoPvBa1deycLp08/wK7jwcdhsdI6PZ0dWVjWpnpPx2oYNTHj/fXPQ5+s9e3jqp584mJfH1Z0719vyzqbbseWXl5tDF8cDevNAKykHBvwOm42bevRACEF+eTmZJSV4fT6OFhTQLiam1kALNPHnv40cWee+dU9MJK2oiEP5+abv8MOXXsov+/c3/YUbwu+HDgUan7lOCg/nt0OGmOLG+3Jz/XyHi91uP4HnIW++iZTSlD5JiYzkvauvrtXiq944nVoJ0xr8vfwy1OC32ygiIiAkRNO2q41t27TgD+COO2D+/Kr7jhxp3POmpcFvf3vy3sMVK+CPf4RnnzVLsiflqqu0gNFi/+Y35FJaqg3ZLFhQbdU6hbf/8AftOBiT2jNmaLqNI0aQUl4ODgd/7dyZffr75LPrrjvjTknnEhUAKhTnIdaS2gk9qJirl5AN2Q2DYIejTss4Rf3pkZjI5hMnGPTGG2ZmrD4Ygtxf7trFgbw8P4HijvW1/tIxsoh5ekBx2HJivH/QIABm1BJw2YQgIiiomoh4u5iYGjOAhrfvfydOPOkQkSEZcs0nn/DJ9u20j41lapcu3NG3L80boed2XbdurL/77npJjtSF8f/dlZ3NAUuf3Etr1zK2hoDkVK3jaiRQIqeWTGqjEEILJteurf0x69ZV3c7Kgkceqfq7rsCxNoqKtAzi8uVwzTXw5Zc1P27+fG0gxvCytqgZnJSgIHj6ac0lBfx7HNPTNW3Fv/5V+23NfhrWh8ZxnDpV+/3QQ2D4YeueyCZPPEHQRx9xZefOEBLCEaeTjqGhdTriXAioAFChOA+xNiYX6IGAMc2ZV16uAr4zxBV6bybAf1av9sso1YaU0gy4Xtuwges+/ZT5FhP61g08yRgZMWNgw5hWXHDzzYxLTeXHGTMYV0eJOjo4mN2WrM2M3r0Z2aYNXRISaB4R4ScO/MTo0Xx14431EuTtnpjopxsXXM+s5pkmPCiIllFRrDt+nC0ZGXRNSCDIbmfOzp3mYyZ36mR6Vp8W8eFAdBcgk9PdjnHJJXD4sNZnWBM5OVqmsKbX1pgM4Ny5VbeLijQx55pkaKyBJmj72FCMz4c1ALR+7q6+WrPQM8jIAIcDvv4aPvxQC/xWrtQCVYPAADA4GNq3568jRnCP/tnJt2TWL1SaxidUoVA0CGtjstFflV5UxAurV5NXVqYGPs4QHePieGHCBFpERnL9Z5/x1e7d3Kdn3WrC6/Mx4YMP6vSSbV2D7VpdGNldIwOYU1aGEMLMXJ3MOzU6ONjUoZw1ZYrp6eq025l3441IKckuLaXC6yUmJIT6FkCD7HbevuoqNqanc/e8eWfEN7mxdImPN7Uxb+/dm+jgYIrdbj7++Wf25OQwonVrRrRpw4DkZFN66bTStatm9TZ06OmZ/A1k8mRNY2/JkppLyzk5WtmzY0f4/vuq5X36aIMhDcWYCP/d7zStw5tv1rT8LHZ/1KRSUMOU9UkxAkAj6PP54Lnnqu43Sr5FRVqAe+SI1t8XFVWlyWh8Ju6/Hz76SJvArgGbEFzWrRuv/vQTmadZ87MpojKACsV5SKA2VVhQEGPbteO9rVvx+Hx19nMpTo1hrVrROjqajnFxpo9vIIfz87l97lwGvfGGmalL0vvzrD1lS2fMIKKBOnPhQUE4bDZzu9mlpcQEB9e7VNpDz9J1TUgwb1sRQpAQFtboSefuiYmMbNPGzKg1BQyh7a4JCVzRoQOj27ZlcqdO9NEDAcOj9YwEf6Bl/CZN0gY2zsRzBAdrQY9lihvQeuW2btUCwNhYrWT6z39W3T9oEOze3XANwZ07tR68G2/UgsqUFK0cbEW3dwO0SejJk7UgrqEXBobLixE87t4Nu3bBvn1a8Glw7Jj2++BBaNu25m1Nn66Vpev4rLRs1w6nlPyyPgMn5zkqAFQozkMCg4a7+vbl7n79zL/P2IlMYdI9MZEN6enM273bTzAZ4Hfff882oxcJGNyiBQN18eIZvXuby8NONhFZA0IIYkJCyLEEgA0R+b6+e3e6Jybyt5Ej/YaNThdBdjv/uuwyc/iiKXBFhw58deONvHv11X4DN/cNGsSfLrmEIfVwYmnyJCf7T83m5sLrr8PMmVppOD5e64sbN04LnH77W+22lNpkcH2RUgs09SlZhIDUVG0oxIrRb7dwIbzzjjYN7fM1XK8wIkLzUU5P1/bzySe1QY7KSv/nnD5du//IEQiQKWoIIiiIVUeOcEfg67kAUSVgheI8pHtiIsNatmSF3sB9XbduBNntPD12LGlFRYyow+RdcXq4tmtXvti1i78vXUpeeTm3WgYvcixDFitmzsTlcFBUUcGkjh1Pi4Zgt4QEFh88yO+GDNECwAb0fCZHRJxUcPpCQwhRY2+fy+FgWi0exucdycnaxK0xDPKrX/nfb832vvZa1e0BA+B//9NK09Onn7w/saBAyyxabdqSkvxLyT4fFBbC7bdXCVUbw05GObomcnO1x1v3QQht+xatSwxZoYQEmDAB3n5b+/vf/9Y8kWvLANaXzp3h559PbRvnASoDqFCch4Q6nbwwcSIvTpzIH4cNM6UKxrRrx/Revc5IZkfhT9uYGOZcdx2to6PN/jLQejINS7Q3Jk82M04RLhf9kpNPy4DOlE6dKK2s5IcDBzheVHRmBhcU5xeDB2vZuV/9qnrwBzBxYs3r3XijFlC9+GJVGbUujMyYVTswMVEL+IwLnxMntEAs8DFQ+yDI7t3aMIdV2uXAAdiwwT949fm0bGCrVlpv3733VmUjDaHvUw0Au3TRXmddkjIXACoAVCjOY4a2bMm1htOA4qzTPCKCy9q1Y1d2NhUeD0UVFczbvRu318trV15J7xqazY1gffQpnKSMKfAnli+noLz8gperUNSDQMFqY9J11Cgtwxc4iWxw6aWafzHUPMkbiNFn2Lx51TJ9kIjMTG0K1xgGsQaAXbpoAx1WX2SDjAxtkARg/Xrtd2EhXHcd/OIXVWLXM2dqwy4dO0JYWNVgyFtvadlAg1MoAQPa/wRq3tcLCFUCVigUilPAkHFZcfQof/vxR0orK+makFBj8Gew7PbbT0lgNrDkqwJABVBloXbNNZrI8XPPwbRpmr1abQihTfPefrsWdNXGsWPado3yqzW469hR284nn2i6fIYNn/Xi1G7XpqBr0iu02GCSnQ3jx4OlV5ZOnTRpl8mTtcycEFoAavTZRkZq1noff6w5rJyqfVubNlqZWrdOvFBRGUCFQqE4BVrpAzf/WLaM0spK7uzbl3+PH1+n9V6o02lOnjaGwDJyh3r4CCsuAgytu//7P03q5NlntdLwyTCGxqz6elLCK6/AL3+p9fzNmVMV/IF/kNW+vRaAWR1HAh8DmhxOdnb10qr175UrtT7BRYu0zF+rVlpv42OPQYsWVdPAAwZo/salpVqgO2+eVhL+859P/nrrQ2KiJpp9AaMCQIVCoTgFjKGOwooKxqemck///g2aym0MgcGjVRhccRHzu99pOn8NlYEyAkCjBLxpkxZgvfmm5iJy8ODJ9QsTE7XgLCdHCwatdnMGPXpov3/80X95WpoWvBnWb2Fh0Lq1Fsz17w+6kw4ff1wlLm0M7+zZoy232bRp4dpcSRpKQkLjdAvPI1QAqFAoFKeA1Zavr7Uv6gxjSP38sn//s/aciiaO3V7VL9cQIiK0sqoRAFqt40AL6o4d02Rk4uJg9Ojq24iP1wKmrCyt368GjUm6doWePbWAzUpampaxNCbpBw/WvIBHjND6BvPztQnhf/2rah3D7WbePP9tvf9+w7UGayI+/oLPAKoeQIVCoThNNNTW7VT44vrrz9pzKS5wbDYtCDQCQCOAeuMNuPNOrfyan69JtHz3Xc3biI+vWq82mRchtP6+Z5/VAsoWLbTgb+1arYw8cSJ8+y3ccUfVOlFR2natdm89e1a5ecydq+37lVdqGcC33tIkXKKjq6aDG0N8vKZZuHatltG8AFEZQIVCoThNNNTWTaFoMrRooQ1j/Pa3WuAXHV1VZjV6A2+4ofb1rVO4hntHTQwYoP02hKInT9aGT+LjtQDz3Xe1oRKDwM/Ub34Ds2ZVTR6D5vf7wAPaAAho08JTp2p9jI3FmAS2ytJcYKgAUKFQKE6RB4YMIcLl8vNoVijOKy65RLONMyzdoqKqPHQBnnnGPzMXSN++VRZrtWUAQevtCwrSvIN37apabrFI9CMwq264tthsWtYQNKkbY9s9e1Y91iLI3mC6dNG2deJE47fRxFElYIVCoThFburRg5uMBneF4nzE0AI0MEShY2O1/ruTlUGjo7Vp3RUroE+f2h9nt2v9e0uXahO/BrVl6wIzgFZ5pVdf1fbNCFSF0LKUW7dqf+fknJokTLNmsGNH49cH+Ppr7X84dOipbecMIOSppEgvMmJbd5HjHp51rndDoVAoFIrTi9sNP2/zX9a3n6brZ7drOnyniyNHIDtgwCIuXsvgVduvCn9btp696t4Xrxe2bNZud+qsTRQ3luPHNYmaugLak7Fxg/a7bx1ajGeQT+4ZukFKWeOkmCoBKxQKhUJxsWMt97ZuU9WH53Kd3uAPtGliA2GDkFD/nj6//XJBR4uLycn2xW7XAj+AyspT28+gIJA+8JzidpooKgPYAPr37y/XGzY1CoVCoVBcSDzxBHTooFmwnUnKyzWR6YEDwems35Tt66/DmjXagMrJyMqq8j6+917NFaUxLF+uDcW8846/q0l9cburSr+TJ1dpGJ5FhBC1ZgBVANgAVACoUCgUCkUTx+uFQYOq/l63TusPBE1S5he/gJtuqhoeMdixQ7O4M/oO9+6FG2+Ep56CsWMbvh8ZGVWTyVDlc3wWqSsAbHIlYCHEbCHEZv3nkBBis768jRCizHLfq5Z1+gkhtgkh9gkhXhRCO9JCCJe+vX1CiDVCiDaWdW4TQuzVf247269ToVAoFArFGSDQteTo0SqNwhMnNKeTP/7R/zEeD9x6q2Z9Z2AIuzd2Ejgvr+p2gH1jU6DJTQFLKU11UyHEc0CB5e79UsreNaz2CnA3sBqYD0wAFgB3AHlSyvZCiBuAp4HrhRCxwKNAf0ACG4QQX0kp82rYtkKhUCgUivOVqVO1AGzYsKqsX6BdXlqa9nvPnqpl4eHaEMmpBoBdu8Lhw1XL3W4tI+l0Nm67p4kmlwE00LN41wEfneRxzYFIKeUqqdWz3wWu0u+eAryj3/4MGKNvdzywUEqZqwd9C9GCRoVCoVAoFOc7I0Zovw0x67Iy+OEH+Pvftb9dLs3r+PnnobS0ym84kGbNID29cfuwapWmV9irF5SUaL2P2dmayHQTcPJpchlAC5cCGVLKvZZlbYUQm4BC4C9SyuVACnDM8phj+jL030cBpJQeIUQBEGddXsM6CoVCoVAozmf++U8t6IqJgdWrtXLutGla9g207Nwrr2i3y8u13j+DkpIq+ZjmzRufAVy6VAv2OnTQ/v70U3jhBW0f1q3TZGZSzl3ocU4ygEKIH4QQP9fwM8XysBvxz/6lA62klH2AB4APhRCRgKjhKYzJltruq2udwH29WwixXgixPusCN4ZWKBQKheKCICioyl1k8GBNY7CTLiczeXLV41wumDcPFi2qWpaTU3W7WTPNIu+TTxpmLSelNo3cunWVePULL2i/y8s1AeuDBxv+uk4j5yQAlFKOlVJ2r+FnLoAQwgFMBWZb1qmQUubotzcA+4GOaNm7FpbNtwD0Yj7HgJaWbUYBudblNawTuK+vSSn7Syn7J1i9DhUKhUKhUJw/HD+u/Z40qWrZH/6g6QXu2AGJidqywAAQNCu8I0fq/1wFBVqmLyEB2rXTlpWVacLaFRXa33VZ5p0FmmoP4Fhgl5TSLO0KIRKEEHb9djugA3BASpkOFAkhBuv9fbcCc/XVvgKMCd9rgMV6n+B3wGVCiBghRAxwmb5MoVAoFArFhYjhZWz1C+7TB+66CyIi4Ne/1pbl5lbd37dv1e2GZOwyM7XfSUlVgd6hQ5rFXna2Vlru0qXBL+F00lQDwBuoPvwxHNgqhNiCNtBxj5TSOEq/BN4A9qFlBhfoy98E4oQQ+9DKxg8B6Os9DqzTfx6zbEuhUCgUCsWFxvTpWu+dwwHJydqyhARNF3DhQhgyRFtmzQD26AGddWeRAwfq/1xGAJiQUOVRHBen/Q21O5+cRZrkEIiUckYNyz4HPq/l8euB7jUsLweurWWdWYAy9lUoFAqF4mLBEIR+7TXYuBFCQ7W/HQ6Ijtamdq0BoBDw/vualMzmzfV/HiNYDA+Hl1/WHEE+/lhbFhYGc+ac6is5ZZpkAKhQKBQKhUJxxmjWDC6/3H+ZzaaVggsLqz/+kktg9mwtsDN6+upi1y7tOebMgY8sBc3//AdSU5tEBrCploAVCoVCoVAozi4REVBUVH35dddpWcK3367fdnbu1ErHq1b5Lx84sMph5ByjAkCFQqFQKBQK8A8A9++Hbdu0jGCLFtCvH+zbd/Jt5ORo9nM9e2oi0tZMY1DQmdnvRqACQIVCoVAoFAqoCgB9Ps2t4/bb4f/+T7svNVWzilu7VpON+fWvqyRdDD76CO65R7vdvr12vzFE0sRQAaBCoVAoFAoFaEMbW7dqPwbGbWNK+PPP4b77YM0abXr4mMWM7LnnquRiIiK0382bQ1SUJjnThFBDIAqFQqFQKBQAwcHa7zvvrFpmTAoPHKgFgYcPa6XgiAj429+0++bM0cSfrWRkaL+bN9cCxSaGCgAVCoVCoVAoQBNptjJwIGzapJWEhdC8excu1Gzeysu13kCABx+s6g+89FKtD/CTT7TgMTVVmzBuYjS9PVIoFAqFQqE4F5SVVd2eMwfGjtWs4l57DQYMgNjYqkxfZaX2+w9/8B8OCQvTegQ3btQyhk7n2dv/BqAygAqFQqFQKBQAjz4K8+drgxw2G6SlacvfeEP7ffx4lU5gQgJ89x1ERsKzz1ZtIztb8xV+9VWIjz+7+98AVAZQoVAoFAqFAqBNG/jVr6pKtikp/vevXav9Dg8Hu137cTph0CBt+f33a17CnTtDq1ZV/YNNEBUAKhQKhUKhUNREs2b+f2dlaT7CsbFa4Dd9Ong82vTvc8/BLbdo2n9Gb2ATRgWACoVCoVAoFDVh7d8zbo8erUnBOBxasHfkiDY9PGKEVh4uK6seODZBVACoUCgUCoVCURuvvQbDhsGsWVpZd+RI6NpVmxAGLQA0OHFC+30eBIBqCEShUCgUCoWiNvr21X5Amww2eOghmDoVfv97mDlT6x00poHPgwBQZQAVCoVCoVAoGop1wnfNGu33m29C27bQocO52acGoAJAhUKhUCgUioZinfA9eBAyM7Vy8NVXN1ntPysqAFQoFAqFQqFoDEOHQlwclJZW2b317n1Od6m+qABQoVAoFAqFojG8+GKVH/C6ddrvNm3O1d40CBUAKhQKhUKhUDSWhATt908/afqATVj82YoKABUKhUKhUCgaS2Ji1e3c3HO3Hw1EBYAKhUKhUCgUjSUiour2yJHnbDcaigoAFQqFQqFQKBqLENrvxET4xz/O7b40ACUErVAoFAqFQnEq/PgjBAVpP+cJKgBUKBQKhUKhOBXCw8/1HjQYVQJWKBQKhUKhuMhQAaBCoVAoFArFRYYKABUKhUKhUCguMlQAqFAoFAqFQnGRoQJAhUKhUCgUiouMcxIACiGuFUJsF0L4hBD9A+77kxBinxBitxBivGV5PyHENv2+F4XQhHeEEC4hxGx9+RohRBvLOrcJIfbqP7dZlrfVH7tXX/f8mdtWKBQKhUKhOEXOVQbwZ2AqsMy6UAjRFbgB6AZMAF4WQtj1u18B7gY66D8T9OV3AHlSyvbAv4Gn9W3FAo8Cg4CBwKNCiBh9naeBf0spOwB5+jYUCoVCoVAoLgrOSQAopdwppdxdw11TgI+llBVSyoPAPmCgEKI5ECmlXCWllMC7wFWWdd7Rb38GjNGzg+OBhVLKXCllHrAQmKDfN1p/LPq6xrYUCoVCoVAoLniaWg9gCnDU8vcxfVmKfjtwud86UkoPUADE1bGtOCBff2zgthQKhUKhUCgueM6YE4gQ4gegWQ13/VlKObe21WpYJutY3ph16tpW9R0S4m600jOtWrWq7WEKhUKhUCgU5w1nLACUUo5txGrHgJaWv1sAafryFjUst65zTAjhAKKAXH35yIB1fgSygWghhEPPAlq3VdPreA14DUAIkSWEONyI19UQ4vV9VDQd1DFpWqjj0fRQx6TpoY5J0+JcHY/Wtd3R1LyAvwI+FEI8DySjDXuslVJ6hRBFQojBwBrgVuC/lnVuA1YB1wCLpZRSCPEd8KRl8OMy4E/6fUv0x36sr1tbRtIPKWXCaXmVdSCEWC+l7H/yRyrOFuqYNC3U8Wh6qGPS9FDHpGnRFI/HuZKBuVoIcQwYAnyjB2tIKbcDnwA7gG+BX0spvfpqvwTeQBsM2Q8s0Je/CcQJIfYBDwAP6dvKBR4H1uk/j+nLAP4IPKCvE6dvQ6FQKBQKheKiQGhDtYqmQlO8SrjYUcekaaGOR9NDHZOmhzomTYumeDya2hSwQu83VDQp1DFpWqjj0fRQx6TpoY5J06LJHQ+VAVQoFAqFQqG4yFAZQIVCoVAoFIqLDBUANiGEEBN0D+R9QoiHzvX+XAwIIVoKIZYIIXbq/tT368tjhRALdb/ohZZp8lr9qhWnDyGEXQixSQjxtf63Oh7nECFEtBDiMyHELv2zMkQdk3OLEOK3+nfWz0KIj4QQweqYnF2EELOEEJlCiJ8tyxp8DIQQ/YQQ2/T7XtQdy844KgBsIuiex/8PmAh0BW7UvZEVZxYP8DspZRdgMPBr/f/+ELBI94tepP99Mr9qxenjfmCn5W91PM4tLwDfSik7A73Qjo06JucIIUQKcB/QX0rZHbCj/c/VMTm7vI32/7TSmGPwCprhRAf9J3CbZwQVADYdBgL7pJQHpJRuNI3CKed4ny54pJTpUsqN+u0itBNbCv4e01a/6Br9qs/qTl/gCCFaAFegyT4ZqONxjhBCRALD0eWypJRuKWU+6picaxxAiG6AEIpmaKCOyVlESrkMzXjCSoOOgRCiORAppVwltaGMdy3rnFFUANh0qM27WHGWEEK0AfqgiY0nSSnTQQsSgUT9Yeo4nXn+AzwI+CzL1PE4d7QDsoC39LL8G0KIMNQxOWdIKY8D/wKOAOlAgZTye9QxaQo09Bik6LcDl59xVADYdGiQR7Hi9CKECAc+B/5PSllY10NrWKaO02lCCDEJyJRSbqjvKjUsU8fj9OIA+gKvSCn7ACXoZa1aUMfkDKP3lU0B2qK5ZoUJIW6pa5Ualqljcnap7Rics2OjAsCmQ20+yIozjBDCiRb8fSClnKMvztBT8+i/M/Xl6jidWYYBk4UQh9DaIEYLId5HHY9zyTHgmJRyjf73Z2gBoTom546xwEEpZZaUshKYAwxFHZOmQEOPwTH9duDyM44KAJsO64AOQoi2QoggtGbRr87xPl3w6NNWbwI7pZTPW+4yPKbB3y/6K+AGIYRLCNEW3a/6bO3vhY6U8k9SyhZSyjZon4HFUspbUMfjnCGlPAEcFUJ00heNQbPrVMfk3HEEGCyECNW/w8ag9S+rY3LuadAx0MvERUKIwfqxvNWyzhnFcTaeRHFypJQeIcS9wHdoE12zdG9kxZllGDAd2CaE2Kwvexh4CvhECHEH2pfttaD5VQshDL9qD/5+1Yozhzoe55bfAB/oF6cHgNvREgjqmJwDpJRrhBCfARvR/seb0JwmwlHH5KwhhPgIGAnECyGOAY/SuO+qX6JNFIcAC/SfM7//yglEoVAoFAqF4uJClYAVCoVCoVAoLjJUAKhQKBQKhUJxkaECQIVCoVAoFIqLDBUAKhQKhUKhUFxkqABQoVAoFAqF4iJDBYAKhUJRB0KIOCHEZv3nhBDiuH67WAjx8lnah95CiMvPxnMpFIqLA6UDqFAoFHUgpcwBegMIIf4GFEsp/3WWd6M30B+Yf5afV6FQXKCoDKBCoVA0AiHESCHE1/rtvwkh3hFCfC+EOCSEmCqEeEYIsU0I8a1uN4gQop8QYqkQYoMQ4jvDMipgu9cKIX4WQmwRQizTxZcfA67XM4/XCyHChBCzhBDrhBCbhBBT9HVnCCHm6s+5Wwjx6Nn8nygUivMHFQAqFArF6SEVuAKYArwPLJFS9gDKgCv0IPC/wDVSyn7ALOCJGrbzCDBeStkLmCyldOvLZkspe0spZwN/RrPJGwCMAp4VQoTp6w8EbkbLGl4rhOh/Zl6uQqE4n1ElYIVCoTg9LJBSVgohtqHZOX6rL98GtAE6Ad2BhZrlJ3YgvYbtrADe1m2j5tTyXJcBk4UQv9f/DgZa6bcX6mVrhBBzgEuA9afwuhQKxQWICgAVCoXi9FABIKX0CSEqZZXPpg/tu1YA26WUQ+raiJTyHiHEILRs4mYhRO8aHiaAaVLK3X4LtfUC/T2V36dCoaiGKgErFArF2WE3kCCEGAIghHAKIboFPkgIkSqlXCOlfATIBloCRUCE5WHfAb8ReipRCNHHct84IUSsECIEuAoto6hQKBR+qABQoVAozgJ6L981wNNCiC3AZmBoDQ99Vh8e+RlYBmwBlgBdjSEQ4HHACWzVH/e4Zf2fgPf07X8upVTlX4VCUQ1RVaVQKBQKxfmMEGIG0F9Kee+53heFQtG0URlAhUKhUCgUiosMlQFUKBQKhUKhuMhQGUCFQqFQKBSKiwwVACoUCoVCoVBcZKgAUKFQKBQKheIiQwWACoVCoVAoFBcZKgBUKBQKhUKhuMhQAaBCoVAoFArFRcb/BzJJyaVjy6MUAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"MTM = N * (1 / K - 1 / GBPHUF_val_2029)\n",
|
|
"\n",
|
|
"n_paths_to_plot = 10\n",
|
|
"paths = np.random.choice(MTM.shape[0], n_paths_to_plot, replace=False)\n",
|
|
"\n",
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"\n",
|
|
"for i in paths:\n",
|
|
" if np.any(MTM[i, :] < -70000):\n",
|
|
" plt.plot(MTM[i, :], color=\"red\", alpha=0.8)\n",
|
|
" else:\n",
|
|
" plt.plot(MTM[i, :], color=\"teal\", alpha=0.8)\n",
|
|
" \n",
|
|
"# margin thresholds\n",
|
|
"plt.axhline(-70000)\n",
|
|
"\n",
|
|
"plt.xlabel(\"Time step\")\n",
|
|
"plt.ylabel(\"MTM (GBP)\")\n",
|
|
"plt.title(\"Forward MTM Paths and Margin Call Thresholds\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "308f60aa",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Notes\n",
|
|
"\n",
|
|
"Approximate time spent: 6 hours. <br>\n",
|
|
"Use of AI: Latex syntax for formulas, Reference for MTM theory, Improving graphs, Introduction to numpy_financial IRR method."
|
|
]
|
|
}
|
|
],
|
|
"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": "3.8.8"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|