diff --git a/Validus Risk Management (1).ipynb b/Validus Risk Management (1).ipynb new file mode 100644 index 0000000..704fab0 --- /dev/null +++ b/Validus Risk Management (1).ipynb @@ -0,0 +1,864 @@ +{ + "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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" + ] + }, + "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": [ + "
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DateFundCashflow TypeCashflow Amount (in Local Asset Currecny)Local Asset CurrencyFund CurrencyBase Case IRR
02025-08-01Validus VEquity-100000000HUFGBP0.149914
12026-08-01Validus VProceeds15000000HUFGBPNaN
22027-08-01Validus VProceeds15000000HUFGBPNaN
32028-08-01Validus VProceeds15000000HUFGBPNaN
42029-08-01Validus VProceeds15000000HUFGBPNaN
52030-08-01Validus VProceeds115000000HUFGBPNaN
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" + ], + "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": [ + "
" + ] + }, + "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
\n", + "-The option premium paid at t = 0
\n", + "-The option payoff received at expiry (t = 4)
\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": [ + "
" + ] + }, + "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.
\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.
\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.
\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": [ + "
" + ] + }, + "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": "3d0ab2a1", + "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": "b18c99d6", + "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", + "$$\n", + "MTM_t^{GBP} = N (\\frac{1}{S_t} - \\frac{1}{K})\n", + "$$\n", + "\n", + "A margin call is triggered whenever the value of the MTM exceeds the GBP 70,000 threshold." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "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 6.70%\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/GBPHUF_val_2029[i, j] - 1/K)\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": 47, + "id": "541d5761", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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XfcAWJW9vPXC7ECJMKbi4XRkzMDAwMDAw+IZzIC9Pey1li4E+Dw7l5zMiNpYtCxYQExjIP/bto9Zmw9fLizFxcUT6+1NSX096eTn39unD8xMm0DMi4moeQrtcCwmVT4C9QC8hxAUhxJPAK8BUIcQ5YKryHinlaeAz4AzwFfB9KaVTWdV3gXdwF2OkA+uU8XeBCCHEeeAZlEpdKWU58EfgoPL3B2XMwMDAwMDA4BvO/x04oL0+WVzM06tWkVpa2uK8dqeT7KoqekZEEGyxcG+fPmRWVFBcV8d9fftiEoJQX1/K6uuxOZ0kh4dfq8Nok6uekyelfKiVSZNbmf8l4KUWxg8B/VsYbwRaVB+UUr4HvNfhnTUwMDAwMDBoFSkl686f55Zu3fD39r7eu3NJSCkpqK2lvKFBG3tl1y7Sysr4y+7dvDd7tsf8X6SkkFZWhtPlIkkx3vpHR2vTOwUGAhDq66uNdQ4KupqH0GGMtmYGBgYGBgYGHWJrVhYvbt3KB8eOXdf9+Oz0aX68bh02p7P9mZuwJTOTWZ98Qq3NxpNDhhDh709aWRkAJ4qKPLx5VY2NvLRzJ0vPnAHQjLwknadONfLCdEZepL//xR/UVcAw8gwMDAwMDAxaxOFyYXU4tPf7LrjVzKyXYFxdKfJravjr7t3szs3lnGKcXQxHCgq01/EhIYzu4lZXGx4bC8DDy5drht6JoiKPZRNCQwEI9/PTxvopBZt6T16Ebvr1xDDyDAwMDAy+8ThdLuzX0XC5Ufndtm1MWLiQVampfHb6NF+dPw+4uzxcL3ZkZ2uvz7aSQ9cW58r/l54f4uvLD0aOZHavXvy/22/XCiUeXr4cl5SU1Nd7LOtlam42RQUEABCmM+xulFD2jaaTZ2BgYGBgcM354bp1HMjL49DTT1/vXbmhUI2632/fro35mM1av9brQXlDAyYhCPTxIeUSjLysykrC/fwob2ggKTycqIAAXpg0CYDfTJzI/C++AOBkURGl9fUIIXht2jTMTQy8VQ89hFNXlasvthCiJanea49h5BkYGBgYfOPRy2kYuKlVdOSmJyfj5+XFjpwcpvXoQVFdHYcLCnC6XM0Mn2tBtdVKsMVCz4iIizLyNqan8/mZM5Q3NPC9ESN4fPDgZsZY36goNj76KFM//JDjRUWU1NUR5uvLmLi4ZutrWlxh8fLiz5MnU3OR+ntXE8PIMzAwMDD4xlFnsxHg49Ns3OpwYPH6Zt0abU4nLinxVY47t6qKecuXM14xbGb36sWw2FieU+bfnpXFhvR0duXkMKlbtxbXmVNVRU5VFeOvQhepqsZGQnx96RMZyeKTJ7E5nfh0QHD4uc2btdexQUGtetvC/PyIDwnheGEhTim1cGxHmNqjR4fnvRYYOXkGBgYGBt8osiormfT++6w9dw6ABrtdm1bR2Hi9duu68eN167j1gw+0vqxfnj1Lg93OxowMksLDGdq5s8f8Y+Pi8DKZmhUl6Hl4+XJ+8tVXzXq9Xi6H8vM5V15OiMVC36goHC4X58vbl8Ct133G4Dby2mJgTAzbs7M5UlBAUljYZe3z9cQw8gwMDAwMvlGo/Ua3ZGYCcKG6Wpum1077pnAwPx+708mxwkIATU4E4P/uvLOZx8vbbCYpPFwLlWZVVvLZ6dP8YO1aThcXU2uzaYaz/tw2xeFydXgfpZQ8sHQp31m9mqzKSgK8vemrVLWeLi5uZ2m3d1JPUjtixQNjYgC3cTh/0KAO7+eNxjfLJ21gYGBg8I1iS2YmZiE8wor5NTUAmBXjJVdniFR+wzx5ekMru7KSoZ07axWlTw8b1mqosm9UFGvOneNf+/bx4YkT2rgqsaJyqriY+JCQZst/kZLCSzt38uKkSczq1avd/SyqqyOjokJ7f6a0lE6BgYT7+XG6pKTFjginiov5w/btfH/ECA89vTA/v3arX6ckJpJaWsoD/frR4wbpXnEpGJ48AwMDA4ObksyKCp7duJGfbdighescLpfmwVONGb2Xp6Su7trv6HXkX/v2aa8LlIrZkvp67uvbl6eHDWt1udFdu2J1ODwMvJb475EjLY7vVYzBP2zfzqrUVL48e7ZNA1v1vr47axYAdyUnI4Sgb1QUq9PSOFFU5JY8qavD7nRyMC+PVampZFRU8J/DhylSPtdlDzzAFw8+2OY+AwRbLDw3YcLX2sADw5NnYGBgYHCTUW218uedOxmiyyXbm5vL5MREjhQUkFZWho/ZrIUSc6qqCPH1xepwdCi/63I4UVTEJydP8tLkyZius8xGjdXKktOntfdLz5xhS2YmVY2NRLXTsWF0167NxuJDQsjRGcxCCHKrqlosZtGfZ1WeJb+mhp4REXx88iRJ4eFMT04m2GLB18uL/xw65C62iIpiz5NP4q1U9XYPDWVXTg5/27OHe/v04U87djA2Lo49ubna+s+VlZEaFoaftzfxISE3jLzJtcAw8gwMDAwMbio2pKezMSODjRkZ2tiZkhImJyZyMC8Ps8nE/EGDeOfIEepsNjIqK0kKC8PucrUrruuS0sM4k1LyyalTTIiPJy4kBKvDQUl9PV2Dg1tc/lebNlFcV8d3R4xoMYx5LTmUn49LSt6ZNYs3Dh7kSEEBNYrIcVg7HRv8vb15ZcoUsisriQsJYVBMDJmVlfxg7VrA3dbreyNG8Ift2ymqq/M41vKGBo8Qucr58nI+PXWKerudE0VFLE9J8Zj+7+nTm1XRPjpoEB+eOIGflxeblM9bNfAmJiQwumtX/rp7N/vz8ojy9/9GGXhgGHkGBgYGBjcZ+twtb7OZ7qGhfHD8OBI4WlhIv6gorbPB4YICThYVMbd/f+xOJxsyMpBStmgM/HrzZjIqK/nk3nu1sfyaGv6xdy//2LuX5ydMYFdODjuys7mjRw9u6datmaSGn5ILlltVdc2NPCklp4qL6R8djRCClNJSzCYTfSIj6RsVxZGCAoZ06kR+bS0DoqPbXd+UxESP9+qxxYeE8Pr06ZpgcmFtrXasn50+zV937wZgyX338eDnnwNuo/FIQQH1djuzevViZWqqx7rHx8czqgXvYbifH7f36MGZkhKqrVZMQuCSkt/fcgszevbUQvHlDQ30uAJVsuUNDZQ3NPCfQ4f45bhxFyWvcj0wjDwDAwMDg5sKfXVohJ8f05KSSCsrY9Hx4wA8MWQICYrR8fMNGwDoExlJldVKjdXKpowMpiQmehh6686dY316OuCppXdSV9n5+oEDWruv9enprE9PZ2jnzthdLsJ8fbF4eRGoaPNlV1Ux7mqdgFbYkpnJLzdt4g+33sr05GTOlpbSIywMi5cX8wcNIqeqimfHjaNTYOAlrT/YYmmxY4hq7FVbrZqBd3/fvvQID2dgTAwnioqYkZzM0jNnABjTtWszI2+E0le2JWICAtigfDbPT5jAtKQkrbBCfyzJimF/Odz+4Yfa6/7R0Tw2ePBlr/NqYhReGBgYGBh8bbA7nXx59mybvVPV6llwe4geHTiQf9xxhzY2Ni6OxLAweoSH45KSzkFBTEtKopvSfP65zZvZmZPjsc4VOqOjSFecodeKa2mf/nvkCHd9/DH/2r+fOptNq/LMaSLpoV+Hqt93pSlW9vtIQQHgljdRPWzhfn784447LtnAawk1PKoaeao8zTNjxvCLcW4T9++3387bM2fST+c57BoczBcPPsiOxx8nWvGU9VHkUloiRrfPfSIjPSpnvc1mzVj/wciRV+jI3BR/DYp0DCPPwMDAwOBrwUs7djDm3Xf5044d/PSrr1qcx+Z0UlxXx929exMfEsKLkyYhhGBiQgJTExNJDAtjUEwMQggeU/TP5vXvj9lk8gjnpSjVnOA2vI4VFmqGiL5v68niYobHxvKr8eO1se5hYbw6bRqJYWF8rninNmZkMOn99zmneBkLdIaonj9s386LW7eSqQs5XykaHA7ALXacU1VFYW1tu6LAl4O32UyEn18zIy85PFzLawzz82No586agQ0QFRBAXEgI/t7e3Na9OwC92vDCTdB11WjJW7dy7ly2LFjQoa4YbaGXYQG0z/JGxgjXGhgYGBh8Lfji7Fnt9dmyMk3jzUvXP1U1noZ07syvJ070WP6lyZM98u3uSEqizm7nDiVvLiYwkM/uv5/vrVmjyYkAfH7mDA6XiyeHDOGZ9et5ZdcuJLBw9mzSyspYMGiQR37dkvvuwyQEWzMztfzAiiYiy/m69evJVjx8pfX1dL/CnRZKFckYgDVpadicTjpfQc9dS4T7+bEyNZXpycmahl54C0UdCbrzp5/+k9GjmT9oUIst6FS6BAfz4qRJdA8N9fguqDTtMXup5DcxzNPKy1vN37xRMDx5BgYGBgY3PHojKV6pYh39zjv8bP164H+h0jzlRtySh8okBGadEWASgvv69iXIYtHGEsPCiA0KYrViBIG7CrVXZCTj4uII9PEhp6qK3Koqlpw6hUtK7kxK8jBSVC/V7N69AXd4WOWpoUN5sF8/8mtqkLqWX2r7L/V/QStG4KVSbbXy2enThPn5Eebnp+W/dWmlCvhKoeZHfmf1at4/dgxouXI3yGLh5cmT+eTeez2ql71MJi1k2xazevVigNKl4mrgkpLXDxzQ3t/Tpw91NtsV/5yuNIaRZ2BgYHCT8OHx49z2wQcsOn7cw4C4GVB11V6fPp03ZszQxnfn5rIyNZXbPviAXTk55CnSHF0uw3ujeoM+P3MGKSVnS0vpGxmJ2WTyMNhWpaXRJzKS7mFhRAUEcHuPHh77NjAmhu2PPcar06bxxJAhvDNrFt8ZPlwzUtU+uQ12O9MXL+Y/hw5hVwzL948d8ygguVzUlmVdgoLoExlJtdVK1+BghrdR0HAl+PnYsc3GQn19W5z39h49rkhxxNXgaEEB27Ky+NGoURx6+mnu6tkTgPSrrKt4uRhGnoGBgcFNgJSSf+3fT7XVymv797M1K+t679IV5VhhodbhoGlxgOph+clXX/GX3bvxMZuJaEfMty1+NmYMAGdLS0krK6PaaqW/ko+nz/8qrK3VjCSTELw8eTIju3TxWFeAjw8mIfjeiBEM7tQJ+F/4UA0tr09Pp7S+nneOHNFCgjlVVfxu27aL2u//HDrEUp24MYDT5WJTRobmCX158mSSlS4Oo7t2vew8tfaY27+/9vq3kyZxf9++110E+mKxOZ28sHUrADMV4079Dt7oxRdGTp6BgYHBTUBmZaXH+80ZGVrS+s3A0cJCksPDCVZCq7+ZOBEBvHX4cLMbrZ+392UZEmpo9kRREXtyc/EymbhF6X07RufJA7f36WJRQ8l5NTX0i45uVoTx8uTJPL95s0df2Y7wjtJC7P5+/bSxj0+e5F/799NXqU4N9fUlQSlySLzCOX+t8fbMmRwpKGBmr17M7ECf2huNPbm52ndMDTVH+PlhEuKGN/IMT56BgYHBTcBpRa/t8wceYHavXuzMydH6td4MZFVWagLGAHN692Z2794MVVqXTU1MZPmDD9IlOJgfXQGpjF6RkVyorqaysZH5gwYRooQYQ319WT1vnjZf78jIi153bBNPXkWTnq1TExO5v29fMioqeO/oUY/Qe2l9Pa8fOIBVqZRVaVr5qXJOCSdmVFTgYzbj5+XFXT178vLkydzXt+9F7/ulMLRzZ54aOvSabOtKsOzMGdakpWnvG5Tf0VBdmzyzyYS32cy7R4+22XP3emMYeQYGBgY3ASmlpfgrvTln9+5Nvd3O9pskZNvocFDcpDWWiuphm9StG/EhIayYO1creLgc9MZbU2OoU2Agz40fz6qHHrqkdft7exPi68uRggJ+uXEjq9LSSAwLo2twMPMHDUIIoXmM3jh40KMF2Jq0NN4/dox/HzyojUkpNS8e4OEBLFIKAxodDoIsFoQQmITg9h49vnZh02vFn3ft4re6ULlqxP2/22/3mE81tLdkZl6zfbtYjHCtgYGBwdccp8vFkYICekdGYlLy1kxCNAvhfl25oBg5LfWDnZKYyOJ77vHw8l0J+uiMvKgW8vvuvUwvWGxQELuVHqvgDv+9eddd2vv7+vblTEkJu3JyKK2v1wzcOsWrdCg/X5t3d24u7x09qr3fmZ1N97AwMioqOKwIHwOU6SRUDFrGpfOaOlwuvEwmKhsbMQmhdStR+f6IEfz74EHDk9cSQoheQohjur9qIcRPhBC/E0Lk6can65Z5TghxXgiRKoS4Qzc+TAhxUpn2mlBEa4QQFiHEEmV8vxCi23U4VAMDA4NWKW9ooKrJTaLWZruodfxh+3bOl5drgrJeJhOdAgP59NQpdmRnX6ldvW6oFYx6wVw9vSIjr7hWWeegIN6eOZOVDz10VXTQmurTVTXplhHu58ePRo0CPPXtVGHh8+Xl1NvtFNTU8BNFGFrVl/vFxo3c99lnPLtxI8kREVqFa9w17pX7dUR/rtPKyvj01CnePXqUYIulmefz8SFDCPfz0yq6b0Sum5EnpUyVUg6WUg4GhgH1wBfK5H+q06SUawGEEH2BuUA/YBrwhhBCLQt6E3gaSFb+pinjTwIVUsok4J/AX67+kRkYGBj8Dyllq90NzpSUcPuHH/IjXfeGw/n53PL++xzMy+vwNtadPw946rGV1tdTb7fzjKIj93WkoKaGH61bx9asLPy9vUlSqkKvFUM7d75qHSFUw/7pYcMAmJiQ0GyeSMWD2NTIE0LgkpLfbdvGQkV7DuDT++5rto5bEhKY278/WxYs4IM5c67gEdyc6A22x778kv+3Zw9Aq966LsHBmjbjjciNEq6dDKRLKbPbeGKaDXwqpbQCmUKI88BIIUQWECyl3AsghFgEzAHWKcv8Tln+c+B1IYSQN5uAlIGBwQ3L+vR0frNlC/+dOZMhusRtcEtegLto4nx5Oa/t388eJYR3rLCQEU3kOFojMSyMYIuFSTpD4amhQ3lDyduyO514X2WpjKvB8pQU7XyM6tLlpsohe3jgQDIqK3mof3/mDxrUopRJkI8PPmazZuRJKcmtrubOpCSCLRaWnD7tUZTRUicJ1XsXrBN8Nmid00o7u8GdOmnagkCr37244GCP0PmNxo1SeDEX+ET3/gdCiBNCiPeEEGqNdxcgVzfPBWWsi/K66bjHMlJKB1AFNEvcEEI8LYQ4JIQ4VKLrV2hgYGBwuageuf8eOcLYd9/18OoV1dVpIci0sjLNoAG3NEiGrn9pRkVFs7ZKKuUNDSSEhHiEFZ8YMoRfT5igTf86Uq0LYSa0Eqr9ujIxIYGNjz5KkMWCr5dXi0aEEIKogACteKKgtpaSujoGREfz87FjmauTSvnw7rsB+NbQoUT4+/P5Aw/wg5EjmZqYeG0O6GuOS0qOFRayPCWF+JAQBirdM+YPGsT7c+a06gVNCAmhuK5Oq8C90bjuRp4QwgeYBSxVht4EegCDgQLg7+qsLSwu2xhvaxnPASnfllIOl1IOj1K0hAwMDAyuBGpl5IG8PGxOJwd0Ydgaq5XeSj7Zi4rYqp5tSnVsTlUVDyxdquVe6XFJSWVjY4teHFUQ+EZvvdQa53XdBFoquvgm0CUoiPzaWgpqalih9O5VRZX1enh9lHvXt4cPZ/0jj9AtNJTHBg/+WnpwrzU5VVWMffddnlq5kpyqKh4fPFjrehLk40P/6Gjt/DZFffjIUXoO32jcCOHaO4EjUsoiAPU/gBDiv8Bq5e0FQK9C2RXIV8a7tjCuX+aCEMILCAFu7B4kBgYGNw01VivHi4oItlg0r5ReE63GZiPCz49gi8Wj+CJRqYxUbxynFA28jIqKZg3RKxsbcUnZYocHNafrqZUr6RYayucPPHDlD/IqIaX0qA729boRblfXni5BQWzPzubxFSu0sK1qWMSHhDBvwIBWC1IMOsZX589rsjPzBgxgZq9elDc0cKG6ut0qarVncXZVFb0uQTPxanPdPXnAQ+hCtUIIfdLK3cAp5fVKYK5SMdsdd4HFASllAVAjhBitVNXOB1bollmgvL4P2GLk4xkYGFwLGh0O/rxrF06Xi3/ecQffGzEC+N8Tv8PlosFuJ8hiYbiSqzdvwAAA7u/bl7FxcZqQrb4/pmrUqaiewZY8XfqigazKSo/lbnQqGhvJrqxkUKdODIiJ4VZFD++bRpfgYMobGjyKL/T5e8+MGcM9ffpcj127aTiQl0e/6GgOPf00zygt7cL9/Hh58uR2cxlVaZuPTpzAeZEdSq4F1/XRSAjhD0wFvq0b/qsQYjDusGqWOk1KeVoI8RlwBnAA35dSqhLf3wXeB/xwF1ysU8bfBT5UijTKcef+GRgYGFxRXFJyvrzcQ6vtnSNH2JCezpNDhjCoUycGderE/gsXOF9ezoqzZzW9s2CLhT9PmUKD3Y6/tzcjYmMZFx9PdlUVxwoLqbfb+So9XVvvjI8/xsdsZttjj1FSV8fG9HRig4IY3bVrs/0K9fXltTvv5Efr3JfE8oYGzbt3o3O0oIDCujr25OZy/DvfaVaYUNnY2Gqj+5uJa9V67JtMfk0NozpY5NQUi+JhPlNSwrKUFB7QhdBvBK6rJ09KWS+ljJBSVunGHpVSDpBSDpRSzlI8deq0l6SUPaSUvaSU63Tjh6SU/ZVpP1C9dVLKRinl/VLKJCnlSCllxrU9QgMDg28C7x09yrxly3hk+XKsDgdHCgp4/9gxJiYk8F3FgwfQPzqaMyUl/HHHDv6xdy8AgUoD+wAfH4QQTEhIwCQE8SEh1NvtbMvKoqi2VpPasDmd1NpspJWVcefixWzPziYpPLzV6r+xcXHcq3h6rnefTSmlVkTQlFqbjfeOHtV04L5SZGF8zGaO66ocAdadO8eURYs4WVTUbD03G8OaVGR/XYz0rwsuKSm7zIefGEXz8Gxp6ZXarSvGjRCuNTAwMPja4pKSL5WE+LOlpRwuKGD/BXfB/28nTfKYtyVJlNbCQXFK+FWtuL2rZ08Pb5ZetqE9LTc1nNeagXWtWHjsGDM+/rjFKuGN6em8fuAA31q5ksrGRj49dQqTEHibTHx3zRrmLVvGC1u2APDB8eMAHt0cblYCdF0WXp48mU/uvfc67s3NR1VjI06Xq8Wc1o7y4d13kxQebhh5BgYGBjcTLin51sqVmvcJ3BWh7x49So/wcK2pvcqoLl14bvx4j7HogIAW163m+uzJzcXHbKZTYKBH6G6nrpNFTCvrUOmkeBqud5Wtagz/a98+Vqamekw7X15OTlUVW7KyGP7221RarR7ix2llZaw7fx6rw6EVrxwtKOB0cTE3e6r1+3PmMDw2lgnx8VpPW4MrQ5kiL3Q5nrxwPz8Gd+rkcR24UfhmlisZGBgYXCabMjLYnJHB8aIi7unTh6/On6febtd6iI6IjW22jBCCe/v2ZVavXjQ4HJQ3NLRaGdkpMBAvk4lqq5VuoaGYhCAxLEzzFhwuKCDIYiHEYmFok5BeU0J8fQnx9SXrKveytTudpJSWMiA62qMCeO25c7y0cydWhwMpJYtPnmRzZiaJYWH0j47G6XKx9MwZGpSG7wW1tXQKDORbQ4cyuFMnLacQYEd2ttaDdXduLrtzc3nrrrsY1sL5vlnoHx3Nf3R9bQ2uHOvOnQMuPwweHRBAtdVKo8NxQ1WCG548AwMDgzZwuFyklZV5jLmk5FebNrExw53m+4uxY9nx+OP0iYqi1mbDy2TSqvRawttsJthiaVP6wmwy0UUJ2aoFHX10Eg0uKZnWowdfzp1Lv+jodo+jW0hIh428IwUF/Gvfvg7Nq2fJ6dM8sWIFn50+7TH++oEDWB0OAn18sDqdVDQ2UlJfzyIl7LoiNZWcqiq6BAUR6ONDt9BQfjdpEk8OGcLYuDgSQkOJDgjA39ubP+zYAXh2dzhdUsLh/Hy2ZmZyMC/vulQRSylveo/ijcSTK1ZoD1SXSnlDA5+cOkXfqCj6XqZGrupN/7HugeRGwDDyDAwMDNrgr7t3M2/ZMo9QTNNetKrg7CBFJT/C3/+KtOBSbxyqcXdv3748qKve63wRfVUTw8I4V16O3elscz4pJU+vWsWHJ05QZ7O1Ot/S06ebGb9nlI5BR3S5cjank+K6Or4zfDhbFyygUfHWVVutbMzI4INjx/jzzp04XC4e6t+ftfPmsfyBB3h00CCtcvHje+7hy7lzGdypk9ZZQF9NfK6sjG+vXs0vNm7ku2vWXPM2U06Xi1mffsq9n312Tbd7s9PocHD/0qWsTkvzGK+32zleVKS17btU9uTmYnM6+c3EiS22lbsY1DD64YKCG0qqyDDyDAwMDFpBSsnylBTAnQP3n0OHSCsrY4nOU6XXKBsfHw9Ajyske/GbiRMZGxfHZKU1lY/ZzC/GjeP16dMJ8PHROh90hFu6daPGauVXmza1OV+drj1Ta43Xq61W/rJ7Nwu+/JIzJSX8c+9eDuTlsUGResnXGcQ5VVXU2+10DgxECMG0pCT6Rkbi7+WF3enk/w4c4GxZGb5eXvSNimJYbGwzUVmLlxc+ZrNWjDJvwAB66eRq1imVuCqttX+7WpTU11NQU0NOVZVmxBpcPqtSU8msqOB327Zp3y0ppUe7v5JLrBi3OZ28c+QI3mazR+7npaI+4AHcuXixR7eW68mNEzg2MDAwuMH4uyJzAvCX3bsBOFZYyPGiInpHRvL+nDla+yNwe5cWzp5NVDuFEB0lNiiI1+68s9n46K5d2bZggUfeW3uM7tqV6IAAtmdnU1pfj1mIFpP4y3Siu/k1NfSMiKDOZsPP21vzTqYoHju708lPvvqK8oYGFp88CbglYfKUVm7gFonNrqribFkZw2prOVxQwLj4eJacPs2F6mriQkJwSYmvl1e7HQPMyrkOtli4r29f6ux2am02Pla2vfKhh5j1yScewsHXAr1nt6Kh4aI8rAatc0InkfP85s2E+vqSVlbGq7pUgqzKykv6vb1z5AgXlO/plfC6B/j4sPzBB7lnyRLK6uuZ+/nnfHb//ddd59Dw5BkYGBi0gEMpBhgbF6d1ogC3dInd6eTbw4Z5GHgqA2JitGrWq8nFGHjgNpC+M3w4ANM++oipH35IWX09y1NSWKskn8P/qg3BLQlTb7cz6f33+feBA9r4cd3Nt1w3f2xQEI8PHky11Uqdzca7R45o6150/Dh3ffwxdqeThwcMINLPD4uXF3f26EGXoCCeGDJEawrfGnf37k2Iry/TkpKweHnx9LBh2rmeP2gQsUFBBFssV83IszmdPLN+Pcea6PbpQ/mVuvZ0BpdHWhNv2PfWrOHNQ4c8xi6lmCitrIyFx44B8MORIy9195oRHxLi0ZlFlVK6nhiePAMDA4MWKKipwelyMTUxkVFdu2reInAbM1/Has6mrc9+vnGjJig8Pj7ew0CKCQxk8cmTmidi8cmT3N+vHzVWq3aDVOkTFUVKSQn+3t6aZl9edTVvHjpEekUFUf7+RPn7awZQr8hILF5exAUHc6iggGCLhZ+OHt2uR6V7WBib58/3GJvVqxcZFRUsGDQIcFdJll0lI29XTg47srPx9fLSQuUNdjsvbN2qzWMYeVcGm9NJpi4sq2LVhcP9vL3JrqpqNk97nFJkdz69774rEqrV85epUxHA5EWL+DwlBYuX13VtO2d48gwMDAyacKKoiO2KDl1cSAjRAQHc0aMHv5k4kc/uv5+l99+Pv7f3dd7LiyeuiZGn7xihFiuoBtLsXr1osNvZmJ5OVmUlZfX13PXxx7x56BAniooYp+QfAjw1ZAgAXrqK4EylV67N6WREly5sfPRRgi0W7u7dm0CdwG+11UpUQAB+l3g+A318+M3EiZomYefAQPbl5V0RuRiXlLxx8KCW46d6JXfl5GBTClj2Kt4a9ZgMI+/KkFFRgUtKfjtpEh/efTevTJniMf2no0fTLTT0kj5n1fucoGhRXklMQiCEIMTXl+zKSpacPt1usdPVxDDyDAwMDHRcqK7mW6tW8eq+fZiE0G4EL02ezJzevUkMC9OqPr9uRAUE8N7s2R6aa3+bOhUfs5lTxcWAu4jA22ymW2go9XY77x49SoPDQX5tLSmlpbx1+DAAE3VG3pi4OP4yZQovT56sefI+PXWKWqU6d3pSEkIINs2fz/MTJjTz2IVdwR60TwwZQoPdzn2ffcZepVvIpXK2tJT3jh7lTzt20GC3sysnh6TwcOrtds0o3nfhgpaPBfDC1q03ZKP6rxtq5fagTp3oExXFxIQEbdrbM2fy8MCBJISEtOjJy6io4PnNmzVDvCnlDQ0EWyxaVfzV4FtDh/JAv34snD37qm6nPb6eVyoDAwODq8Cp4mIe+/JLAH4wciS9IiJuug4DA2NiPMKZ4+LjSQwLI1URWc6sqCA+JIRIf3/KGxqwOp2E+/khpdQ6Tfh6eVFjs/Hc+PH0iYrCx2zWKoCllDil5LMzZwB3aHtMXBzgmeB+T58+RAcEcKG6ukXh6Ms5PpX9eXnati8FtYqz1majoLYWh8vFvAED+OOOHZwsKqJrcDDLU1IY2aULob6+xAYFkV9Tw6NffMHie+7hwxMnGNO1K8m6SmCDjpFaWoqft7eWYuBjNvPLceM4UVSkVbJ2Cw3VRMj1nvWfrl9PXnU1jwwc2KL+XVl9vYfO4tVgenIy05OTr+o2OoJh5BkYGBjgvqF/dOIEALd1785jgwdf3x26wqg3NiEEEf7+/P3224kLCcHHbKZnRAS7cnIASK+ooH90NOF+ftTb7QT5+LDsgQcY0qkTo955hxqrFX9vb86Xl/On225rth0hBHN69eLve/filJIuQUEtVhg+P2HCVTlOIQQ9IyJIKyu77AIM1ZskgWJFqiMuOJgYxTj9q1JxPSA6GpMQfDl3LnM//5y0sjLeO3qUNw8d4r2jR9n22GOXtR/fRM6Vl5McHu7xYHB/v37cr9OJVA36fRcu0DMiQjMI1erukro6aMHIq2hsvOpG3o2CEa41MDD4xuOSkgeWLmVTRgaBPj784dZbr/cuXVHK6uu546OPPMRjJ3XrphlfCSEhlDc0UFZfT35NDYlhYRTV1uKUkiAfH0Z26YK32cwcpbp1VNeureqAlTc0cLasjKTwcLqHhrJ63rzLFpq9WBbOns2wzp05dwlaZSklJWxIT2dDerpWbJNaWsoP1q4F3AUpccHBZFVVcbK4mG6hoTyu5CSahOD16dMBtCrQWpuNndnZVFutV+LQvhG4pCS1rEzr9NIaQzt3Jthi4dmNG5nz6adkV1Z6hMpb69VcXFd32W3Mvi4YRp6BgcE3mpK6Ot7XVYve2q3bDdV78nIob2jglvff546PPgJoVhWrouq6bcnMBNzdMQ4XFBDl788n992nzfebiRPZPH8+A6KjyaqspM5m82jlJaXk9g8/5FxZGd8dPpyT3/2uR5HFtcLi5cXAmBjSy8v5xYYNWpeMjvDoF1/w/ObNPL95MwA9wsM9OhhE+fvTNTiYlJIS6mw2vjdihMf3JToggB+NGuWxzp+uX8+vlfUZtM+JoiLqbLZ2ezJ7mUx8V5EFAvjq/HmKdOLITTvTgLs6N7+mps2WgjcThpFnYGDwjeaH69Z5eLjau7F8nVh//rxW/KBidThYd+4cVboq0C6KkacKPieGhZFRUcHQzp0ZrsuXMylVg32ionC4XEx6/30Pw1EfHh0WG3vRWn5XkjilYGZrVpZmvF4K05OSiFbEdjsHBeGthLdVRnXp0myZ+YMG8cqUKbw6bZrmFd574QJvHDzId1evvqHaXt2IHMjLQwjB2A7kU97frx/7nnqKPlFRnCgq8uh2svfCBe1cWx0OtmRmkl1VhUvK6y5SfK0wjDwDA4NvLOUNDc3CjnppkK87+h6uY5Rer4cLCnhh61bNUwVoFbEq2zIz2ZaVpRk3TRkQHa29/krXUuzh5csBCPfz85jnUlGrI2usVl7dt89DI609RnftqnVCUHvqXixPDBnCo4MG8cGcOSycPZtVDz0EuAWvwW30BrTiqZySmMj4+HimJyezZcECIvz9ee/oUQ7m519yK65vCheqq4kJCOiwF9jLZCI5PJy08nL2KBXVjw0eTIbSEg3gvaNHeXbjRu19e6HgmwXDyDMwMPjGonYueH7CBB4fPJgNjz56UyVknysvx8tkYv6gQXxbCWuprdrO64Rmw/z8eGroUMBtoC0/exagVX2v6IAAJnfvDqBVNdZYrZr+2JL77rts2YhtWVmMffddzpeX89bhw3x04gQbMzI6vHx0QADrHn6YgTExnCoublO/rqy+noyKCo92WeA2jE1CEBUQoBl2AMnh4dzRowfvzJrVoX0JtliY17+/9r7oOhp5a9LS+ELpx3yjcqG6uplwd3v0joykoqGBRcePc1v37nxvxAjmDRjA2nPnGP7221qldFpZGbf36EH8VdDIuxG5ORJPDAwMDC6BtLIyhBDc1bPnNS8OuNrU2Wzk19TwvREjeGLIEC1sm62Ixzb1in172DD8vb25pVs3Xt65k/yaGn45fnyL6xZC8JepU/nj9u3sVKpy1SKHH40addGyMy4pOV9e7uFdUYWH537+ucd8F7POD44dI6OigqNKv+Ev585tMRfrns8+o85m86jkbHQ4mnk4VcwmEy9NntzhfQF4dNAgBsbE8K1VqyiqrYV2WrhdLX6reLJCfX25VTHUbySklFyorvbQxesIk7t316qdX7rtNkxC8K2hQ7XimV06zcRZvXpduR2+wTE8eQYGBt9Y1Cq7m83AA8hVZCRUoybQx4efjh6tTa+12TTvBrgNt/mDBhEfEkJxXR1TExPbDWnFBgW5tfQcDi3sPS0pqcP7WK8URLx+4ADzli0jo6KC/JoaGh0Oj5xBlfbalRXV1nLbBx8wffFiRv73v/z74EEyKypwuFycKy/n3iVLmi1jdTioUwxgl5T8/pZbOFtaSmZlpdb15EpgEkJroXW9PHn6Ipm/7N59Q+YGHszPp7yhoUV9u7aI8PfntTvv5PMHHtC8yEEWC7+dNAlwe6V7RUbyypQpLeZR3qwYRp6BgcE3lqLa2lbzzr7uqAno+rBXU1HeH6xd20xLTkpJYW0tMYGB7W5DrcotrK0lv6YGH7OZqA5KU+zOyWHiwoW8d/Qoi44fB2DZmTPM+uQTnlyxgn0XLlBttSKl5E7FcPz3wYPcvWSJplm3NzeX3YonEdzix9VWqzYdwEtnwLuk1AxLFdUY1vYrN5ce4eF0Cw2lQgk/XykCfXzw9/b2KA64lqgh68GdOlFaX6+lK9xI/OfQIaIDArirZ8+LXnZsXFwzT+3MXr207/2khASmJCZe14Kga41h5BkYGHxjKa6vJ+YmNfJUQVh9yFFt0aZ66Irr6nhhyxaP5Urq67E5nVrFbVt0VgzB/Joa8mtqiA0K6vANVC0K0Vc2qzl3+/PyOF9RQV5NDfUOBy8o3hiA3KoqrQXbD9et48dffaVpo6lGmSqtcUu3bnib/nebs7tcTFy4kBO6nr1qHuGkhAT+cOut5NfUMC4ujlBfXxouotCjIwghSAgNJbeFVlzXgjzFuFTDlZdakHK1yKqs5ERREY8MHEhWZSXvHjlyRbyNv5s0ifHx8czV5UV+UzCMPAMDg28kDXY7BTU1N6+RV1NDsMXiUaEYExjIK1OmePSuLW1ocLcic7lYcfYs0xcvBuiQxIRqQBbU1lJQW9tqDltLpCrdJOB/nQtUg6t7aCjhSj/bRocDH7OZf9xxB39W8uByqqp4U2ccqkbfhepqAnx82P7YYzw5dCgvTprEwJgYvE0mQi0WqhobcbpcPLFiBe8dPUphbS1/2rEDgB+OGsX05GTyamroEhREiDL/lSY+OLjFfqvXAjU8P7hTJ2ICAzmrtLK73mzLyqKsvl7zyt7WrRvzli3jzUOH2HkFQua9IiN5ddo0gi2Wy17X143rauQJIbKEECeFEMeEEIeUsXAhxEYhxDnlf5hu/ueEEOeFEKlCiDt048OU9ZwXQrwmlEdJIYRFCLFEGd8vhOh2zQ/SwMDghuSLs2dpdDiY2qPH9d6Vq0J2ZWWLFYRTEhM9bna+Xl68sHUrd33yCX9UDB6A7h0w8lSJkpd37uRcWRmdOhDiVcmqrGR6cjKf3Hsv786apRmVY+PimJaURPewMLxMJq1AZGJCAlN79CDcz4/cqirePXpUW1dpfT3VVivbs7PpFRGBRREnDrZY+Oz++zn89NN0DgrCx8tLM7DeOHiQuz7+WAudqm3cKhoa6BIcTKivL1VXoUtFQmgo+TU118WLpu8HmxweTrpi9O3IzmbzRVQut0RlY6NHzl9HOVVczM83bOCf+/aRX1NDoI8PPjpx6Z9t2ED6JXQuMXBzI3jybpVSDpZSqrLVvwI2SymTgc3Ke4QQfYG5QD9gGvCGEEJNtngTeBpIVv6mKeNPAhVSyiTgn8BfrsHxGBgYfA04mJdHfEiIR0P7m4nMyso2Vf2fGTMGcBtbX50/30y7LUzxpLWFSQhNesXhctG9g10EpJSUNzQQ5e9PckQEQgjilNzB/tHRlDc0EO7nx+09ejCsiTh1XAuesCqrlRVnz1Le0MCPm3SbAHfXCvWYuoWGcm+fPphNJq0QAiDIx0cz+GKDgghux5N3pqSEz8+c6dDx6rmnTx98vbwuadnLYXVaGktOn6an0g82PiSEC9XVSCl5Zv16frlp0yWvu7KxkSmLFjH7008vSgPQ4XJp4fpGh0PrKXuhSZ7k95SWclLKSzIkv8ncCEZeU2YDHyivPwDm6MY/lVJapZSZwHlgpBCiMxAspdwr3Z/+oibLqOv6HJgsvkkZlwYGBi3ikpLjRUUM7tTpeu/KVaHWZqO0vr5No2vegAH8fOzYFlt+/d+dd3Y4t+7bw4Zpr3vojKa2qLHZcLhcROiKNFTPYZ/ISO1mPzI2liql+EIlPiREKxh4dtw4wG1kbM/Opm9UFP1aEWFWJTlMQnB/v37sf+opnh03jqzKSgpraxFCaHmMXYODCbFYqG7SLUTF5nQy/4sveGXXLhy6XqkdIdLfn/7R0WQqUjbXgkaHQxMBXjB4MOA+xga7nSdXrtTmu1QDSj1v+TU1vHnoUIfWk1FRwdQPP+RAXh4A1VYrFQ0NhPr6autTqbfZWJ6Swqh33mGxIoli0DGut5EngQ1CiMNCiKeVsRgpZQGA8l/9xXYBcnXLXlDGuiivm457LCOldABVwDdD5trAwKBVsisrqbZab1ojL1MJw7UXcn2gXz+tclXl9enTGdOBdlIqQgjNgErqoJGnSqFE6PT0nh42jD/ddhs9IyI4XVJCbFAQCaGh1NvtHo3m43QhaHV7bxw8yLHCQvpERra6zb/ffjvLHngAgM0ZGWzJzOTpVavoFBhIoI8PdqdTK0zoEhREhL8/RbW1Hon/KSUl2JxOLQcQ3BXaF0v30FAyKiqumVfqSEEBAH+dOlX7rNSqa30RSk0rRm176Cu0V6amsj49vc35U0pKeGDpUmqsVqIDAhgYE8ORggKK6+sJ9/PjTEkJJiGYkpgIQH5tLS/v3IlLStaeO8fac+cMj14Hud5G3jgp5VDgTuD7QoiJbczb0mOlbGO8rWU8VyzE00KIQ0KIQyU3WLWRgYFB+xTX1fHGwYO8tn8/pfX17MjObvMmcFy5sQ26iUO1QLtN2E1C8MfbbmPT/PnaWMQldPx4ZcoUPpgzp0PdQhodDr5QOmro5/cxm5mWlMThggLqbDYeGTiQwZ06IYTgnSNHtPn0kjD9mmiptSX7ola2TkxIYFlKCotPnCDYYiHcz49AHx8yKirIUwo3gi0WekdGUm+3a+LRWZWVPPrFF8z59FP26oR18y5BDiUpPJw6m43DBQUsOn78qhssahha32puSKdORCqeVFUKp6CDx2J1ODx6IpcoRt5Lt90GwPF2pFl+pbTUiw4IYM28eZpuXXZlJYE+PqxKS2NKYiK/v+UWhnbu7BECTisr48WtW2+YopEbnetq5Ekp85X/xcAXwEigSAnBovxXH5kuAPrHy65AvjLetYVxj2WEEF5ACNAsg1NK+baUcriUcnjURQowGhgYXH/UaslFx4/z9z17eGb9elakprY6//HCQkJ9fW/a1kZZlZV4m80dkkEBd/cDlYgO6tzp8TGbWw2TNuWjEye0LgQtbUv1CsWHhNAzIoIJ8fEeem6junShS3Awd/TooRVYqAzpgGd2XFwc5Q0NHC8qYoZS+AHunr6ZlZUkhIQghKC/cjyniouxOZ2all9xXR0Ljx0jSCleUeVQrA4HhR306qnr/s7q1by2fz9ZVzl0m19Tg7fZ7HG+/by9GakYV+p5y6ysZHtWliZJ0xIniooY99573PL++9pYaX295nnr14FQdIDSCm90167YXS6GxcYila4nbx06RK3NxvDYWCxeXgyOicEpZTMpla1ZWRdxBr65XDcjTwgRIIQIUl8DtwOngJXAAmW2BcAK5fVKYK5SMdsdd4HFASWkWyOEGK3k281vsoy6rvuALdLw8RoY3HTob66bMzOB/4WoWuJ4UREDY2JuWlHUk0VFJIWHYzZ1/BLvp9x4QztQcFHR0ECtzca2zExe2rHjorTMVKNoeGxsi57G0vp6fL288FMMuJ4REVyorsam9NEN8fXlywcf5I+K16hnRAQR/v7sfPxxhjQp0mgJfaFNn6gougQH0zMign/s3cuBvDySlRBwt9BQAnx8OFxQwLxly1iZmurRhWFajx5EBwRoXTFe27+fuz7+uEMaeEnh4R7SNqevcgSpsLaWToGBHm3bAO14+kdH4+/tzZ937eJnGzawvI3etk+sWKG9/tOOHTy+YgXvHDlCmJ+fu5glLIy0sjI+OXmymdC2nuiAAH4xdizvHDnCd1avxiQEDQ4HlVYrNqdT89h6K98Dq8PBuLg4zTDdlZPDB8eOtZhT2h7lDQ38eefOG04n8GpwPT15McAuIcRx4ACwRkr5FfAKMFUIcQ6YqrxHSnka+Aw4A3wFfF9KqXbP/i7wDu5ijHRgnTL+LhAhhDgPPINSqWtgcKU5nJ/PFsW4MLi2NDUw1PfnWpFdyKioIKeqihGxsVd9364H9XY7J4qLL7p109L77+efd9zRzBBoyt7cXAa++SYTFy7k7iVLWJaS0uHQmZSSlNJShnTqxJszZmASglqbjY9PntQ+t7L6eiL9/TUDvEdYGC4p2abz3AghtP386J57WDNvnmaktkeCzrDsoeQs3tKtmzamendNQtAvKorVaWlkVVYSHRDAbyZO5E+33cbAmBge7N+f23v0YH9eHk6Xi91KCHdVWpp2rHank5Ywm0z8depURnd1B6FSrrKxkV5R0aJX94F+/Xhx0iTu6dOHgTExWnu3ilaqipeePu3x/suzZzmppD6o6x/dtSvVVit/37uX55pU7G5IT6eioYHiujomxMdT1tDAe4oUTlFdHSblc7U5nVq1tVn5nOf278/kxETemDGDIZ06sSI1lZ+uX89/daH8jrIrJ4dlKSmaRuLF0HiFBbKvNl7tz3J1kFJmAINaGC8DWuz8LKV8CXiphfFDQDMpayllI3D/Ze+sgUE7fHv1agAOPf10O3MaXGnUfJ0RsbH4mM3azTazogK704m32YxLSgTu/KlNGRkIIS6qx+rXiZyqKpwu10X3/uwUGNghnbsPjh+nvLERkxBI3DIYh/PzO7S9Pbm5ZFRU8PyECZoR99r+/SxPSSHCz4/0igrWp6d7eNsmJCTQMyKCv+/dy8SEBHybhGhNOoOvI+j7FKsGn74A576+fbXXI7t00ao/V8ydi7fZTM+ICO27kxgWhtPl4kJ1tdZK7b2jRxndtSs7s7NZeuYMWxYsaLE38sguXRjZpQsPL1/erLXalSS/pob08nJmttAmzCSE1v1ifHw8+y64axj1PYIdLhfvHT3Kg/368enp08SHhDCma1eWNDH41M4iY3VFO8d1RR3nysp4fvNmxsfHU9nYSExgoBa2jwoIIKW0FG+TCaeUOKXU8ivPlZXhYzazIjWVFampjNOt3+p0XpKBrHoYL1YHcf+FC3x/7VoWzp7NgK9JPu/1LrwwMPjao88AyL6GsggGbtSk74cHDuTFSZNICg9nenIyDpeLzMpKnC4XI//7X8a99x5zPv2Utw8fJjoggLBLKDD4OqCGrjtfhDBxS5wsKtI8O3pUo7qisRGHy0Wjw8H69PQ2w+MqOUooU62ahP91uVhy+rTm1dFX6fp6efGDkSMpq6/v0DYuBtVgHB4by3eHD2f9I48QoAujzurVi9igIH49YYLW9F6PGlJcmZqqhZPBHcb88MQJGh0Oj+rVlugaFNRMF+5ycbhcfHX+PC4pNSN1XDsV03cmJXFb9+4EWSyklJZyvLCQ3Tk5HM7P5+3Dh5m8aBHZlZXc17dviwLi6lUwwMeHt+66i9igIFxSUq0YUjuUsLba6SQ6IID8mhqCfHworq0lOTycmT17MjA6mscHD3Y/REjJzpwc+useIPJqarR1CNAEncEdUblnyZJ2tfrU6aX19W3mHzZF9RoezM9vZ84bB8PIMzDoAOvOneOr8+dbnKZ/Wr33s8+uyPbOlpayJze3/RkNtKfySH9/Ivz9+fS++3hc0QI7V1ZGkXJB19+EL6WC9OuCKunRVqVpezQ6HDy+YoUmQqtHvakmhIQgcd9016en8/SqVcxbtkzTjbM5nbx39CirdAUw1VYrQgiPfDTVC6cWHzw+eDDPjR/vsU21UOFKSWeseughreBC3Ycnhw5tVggS7ufHirlzubtPnxbXoxp5HyhFGWq+mL7y9HA7BkHX4GDya2o4VVzMvGXLPM7XpfLBsWP8ZssWtmVlaUVG7VVah/j68tepU7m/b1/OlJTw5MqV/PirrzQjHKB3ZCR39exJ78hIxsfH8/G99zKrVy+SIyI0zUKAYbGx/EwR2z5fXs731qzRPH+qgWXx8uJwQQFVynfinVmzWHT33Qzp3JkUJfxfa7PR6HB4CGJ/fPKkVi0c5udHXnU1NYohuSI1lZyqKj46caLNY1UfDJ0ul3Z9aI8jBQVaAdDX6WHeMPIMDNohp6qKF7Zu5TdNGrmr/PfwYY/3tlbycDpKvd3OI8uX86N1665K78ybDfWmEaW7QceHhOBtNnO+vJxftaDkfymyF9cal5Rszsi4KLFdq8PB3/bsATrWsaI1VEPxdHGxR2eG44WF5NXUkBwerrWeClI05sAtb5FRUcGfd+5k/Hvv8fqBA/x++3btplxltRLk4+MRXlWNiGqrFZMQfHfEiGYFMWobtq/On/fQqAP45ORJXty6lQkLF3JO1w+3LToHBZEc0THJ1LaKc/Tfub5RUbw6bRpdg4O1YzKbTO1WmnYPC8PhcvHxyZOklZXx2RXohKEazAU1Ney5cIGhnTtflLi1vu2d+tnd06cPH91zD8EWC75eXrw6bRo9IyJ4cdIkPrn33mYaiaqe4dOrVnEgL8/DWJRS8vzmzWRVVFBUW8vsXr0YHhuL2WSid2Qk58rKcLpc2jLDdfmzmzIyCPX15V/TphFiseBwufjwxAkcuvn35eW1+lAObiNPPR/FHTTylqekEGyxMKZrVw4VFFxUsdH1xDDyDAza4a1Dh7TX5Q0NPLFihRZekVJytqyM2b16cb+Sy3O5T3n6StGPDXX3dilR5Bv04VezyUTX4GA+PHFCq6AbHhvLG0qyv75Lw42Czenkw+PHsTmd7MnN5ZVdu/jlpk2MfuedDuuXqWEsL5PpsiqH9d6Nf+zdi93pRErJ77dvx+lyMbd/f+7t04fHBw2iZ0QEIRaL5mH79ZYtLDx2jDMlJVqS+rHCQurtdjIqKgiyWNiTm0utzcbmjAyPcKaXydRqft0D/fp5HKPK3/fuZe25czTY7axMTfXwol1thBC8OWMG8wcN4oM5c/AxmzWvY5ifH6O7dGnWgq0pqlbjBkVAOLW0lPpLqBjVU6k8HC5LSaGsvv6i8k/NJpNH0c4XZ88S7ufH8xMmaB6zjhAfEqIVlqioHVFsLhdOlwuby0WfqChemDRJm6drcDAOl4uS+nrNaEuOiOCJIUO0ecZ07crdvXvj6+VFZECAOw/ynXe0nML08nJ+s2WLlh6gx+pwcK6sjOGKd7CsjQpglQa7nT25uYyPj2dGz54U1dZyurgYKeVFdzy51hhGnoFBO5zV3VSWnj7NiaIi/nv4MI0OB7/ctImqxkZ6RkRwr2LkZehyRC4Gp8vFi1u3alWEwRYLC48d056kDVomq7KSzkFBzYwDa5MquDdmzHAn0n/rW5rBcCPx/rFj/Gv/flanpfGjdes8ZCy2dVATTJXvWHLffZe1L+qDxvdGjMDmdJJTVUW11UpGRQUhvr4khoXx/IQJvD5jBj8dPZqogAAW33MPFQ0NnCkupqC2Fok7BOhwufi/AwcY9+67fHjiBPnV1fxo3Tr+uns3/9y3j06Bgfz99tuBtr3gvxg7lgAfH9LLy9l34QLfWrmS+5cu9Zjnk1OnuOX999mdk3NZx38xjOjShR+NGqUZ1dEBAYA7JzIhNJTsyso2j0sv7gxuD25H9fZawiWlJsmiGjmjunShuK6uw31lB+kKUQpqavAymfjO6tXc+sEHLOugp9HLZOL16dPZ/thj2ti9ffpgMZsJ9PbGJASDO3ViaBPZGzWXtLC2VjPywv38+N6IEVrYtk9UlCbZYtP9zh/s149fjB2rvW/p2nm0sBCb08kMpRClTNmGq42+uAu+/JJqq5VBMTGapuCh/Hzu/ewznt24sdVzsCUzky8V4e/rhWHkGRi0gpSStw4dIruykkRFakHNFalobORIQYEmmzIhIYH4kBBMQnC2nSfx4rq6ZvpMKSUlZFRUsPbcOa1h96vTpgHupG6D1jlVXOyh5K+ieiM2PPoo6x955KIqMK8HR5WigpZC9BsyMjoUHsqtrsYkBLGtiCC3lc8mpWRTRgaZSucHIQRjFE/M81u2cKG6GofLhY/JpBkygLatKquVisZGsqqqiA8JISYgALvTSXFdHTuys0lTJG3U39Cp4mKK6+qYnpzc7EbfEkIIekVEcCA/nx+sXcvRwkKtfdvAmBh+Mnq0Nu/eCxdaW81V5y7FeJiamMj4+HhsTmeboUMhBKvnzfMY62gIsSU2pqdTbbXy3eHDtbEAHx+mL17MnYsXd2gd9/bpwySl/VlpfT1FtbUcUnILXztw4KL2J8DHh1BfX8rq69mVk4OX2cyTQ4cCUNnQ0EzapVMrRh78zyDuFxWFSQii/P21sbUPP8wvxo3jwf79+eiee4CWjby9ubn4mM3c1r07JiG0nN6pH37o0ccXoMZqZVVqqvbgPqlbN6IDAvD39ubfBw+SU1XFjuzsFq/3UkoWnzjhke5wPTCMPAODVth34YJWTTUlMZEIf392KR6CPbm5rFH0sDbPn09sUBA+ZjMxgYF8eOIEj335JUW1tS3mCD29ahXzv/hCqxTckJ7Oo198wc+bPBH2jYpicKdOmtiqQXO2ZGZSXFfXYqeDX4wbx9qHHybcz++SujhcS6wOByeVXDO9J9hsMjE+Pp6TRUXcvWSJR3Xpgbw81p4757Ge/JoaYgIDW6wEbbDbGfHf/zL87be1ikuVerudu5cs4VebNnH/0qW8e/QoccHBWngtvbycPbm52F0uvM1mDyNPbYn1/bVriVOMOz8vL+YPcitkhSj5XV2V+YQQ+Ht7k1NVhUtKOgUGat0j2isWubt37xbTIeb07s2M5GTt/fKUFGyKgXmtSQwLY+uCBTw8cCAjYmPpHBSkXTdaI0Y5n6pR3VGPW1NK6up4aedOogICuLtPH/5xxx28MWOGh3FfUlfX7nlxSUlsUBDfHjaMQUprOZU6m+2iPY1PDB6M2WRiT24udTYbn50+TaCPD04pte+Yimrk5VVXk11VhcXLSxPoTggNRQihyfVEBwQQExjI5vnzPb6TPZV8yzcPHWpWPXswP5/BnTphEgK7y8WxwkKyKyupamzUUgd++tVX/OSrr/jumjX8fvt2wN3TWdVvVA1L9X9Ln+8fd+zgeFFRhx5griaGkWdg0Ap64yo5PJwJ8fGAuxWTt9nM+vR0wv38CNEluKvhhIyKCmZ8/DEPLVtGvd3O4fx87E4n58vLtXy+ZzduRErJwmPHAPdFTWVgTAxeJhMju3ThXFnZJam6fxNYlZpKbFAQs3v3bjbNp4kxcj3Jrari8RUrWr05ntblr23MyADcFa6zevXit5Mm8fjgwRTX1fHyzp3aMouOH+ef+/Z5rKeysbHVggv9tpsah5+eOsWF6mr66KQqVN3Bt2fOBOCFrVu5UF2NdxNPnl5bz9tk0rwuCwYNYs+TT+KviBR3DQ4mOiCAbiEh/EpXPasuv/bhhz0qXltiao8e2vr7R0fz8IAB/GjUKO5MSvLIybQ5nfx9zx6mL16sPYxdS4IsFkxCIIRgeOfOHMrPb9OLKoTgwLe+xd/vuAP4X/XnxbLu/Hnq7Xbeuusuwv38mJiQwMguXbSQJMCdixczffHiNnPR1qen88mpUxTU1lJUV0eQxcLc/v1ZdPfdAFoldUcrnc+WlXl0UimordW+Q02NID9vb5IjItidm8vRwkIGRkdrnVvu7dOHN2fMIEpZNjoggOK6Oo9rMLirpZMjIqhoaNAqn8FtvGZVVtIzIoJPTp4kt6qKxSdP0veNNzw85TtzctiZna3l+AH0iYzUXqs5jj8aNYrEsLAWq3lV7+103cPH9cAw8gwMWkDVZ7qlWzfemz2bW7p1057aBkRHMykhAVMLgrq/HDeOj5vcqCYuXMi3V6/mX/v38/vt24nw99cEQU8VF3OurMzjQvf+nDm8Pn06AN0V2YOWEohbwyXlZSdufx1wuFwcLSxkeGwsXhfRvut6sC0ri5NFRbzeSqhL9dw8MWSIlshtdzr5IiWFkvp6vj9yJN8aOpSsykoe/eIL8qqrya+poaKhwaNqscpq1TxnKhvS0/nlxo0erbNsSiEFuL2I7x49yqSEBBbNmcNz48fzypQp/FgJfw7u1IkhnTpRY7MRYrEwLDZWM7TAU1xYb2jFhYTgYzbz49GjWf3QQ2x49FEi/PzoEhzM7TqdNTVcFx0Q4FHV2RJeJhNvz5zJorvv5v05c/jpmDHMHzRI81zqZTx2KRJEv922jdf27/c49n/t2+dx3q4mvSIjqVZC2W1hEgIfs5kwP79L6mX70o4dvLZ/Pz0jIpr1ZG5pfUcLCymqreVvu3drWnYqajrJytRUnC4Xf7z1Vn4+diy9IyPx9/Ymv6aGtLKyZh7hljioeJytTidj4+JwSUlGRQVHCwsJslhaTC24MymJE0VFpJaWelwbA3x8PCptowMCKKmvb9HYXDRnDgNiYtikPDSBOwxuczqJV+R/9NeN1LIyCmprOVJQQEZFBWUNDRTU1lKnXEv1huSjAwey+J57uLVbNyYlJJBaVuaRd6kajA8PGEBvnXF4Pbixr4wGBteJU8XFFNXWMjEhQetxqgqnBlss/Om229j+2GM8o2hBqfh5e9MzIoLuSg6fnk9PnSKlpIRvDxvG3YrnSc3X+PnYsSSEhvLy5MlaH0lA07Z6ePly/q5IY7THu0eOMHHhwhaFbG8m3j58mFqbjYlK7tD1xuFyaRf3f+3bxy3vv69Jkai3oO3Z2S16ZVWDQ63QlqBpyc1btgyb06l5ElJKSth74YLmmTtfXq7d5KqtVg9DqcZq5cWtW9mcmelRqb0hPZ3/HDrE8Lff5t2jR7E6HExOTEQIwb19+zIlMVH7DpqE4LHBg+kTGcmKuXN5Z9asZvmNb8+cyW3du7Pu4Yd5dtw43p01S7uBzh80iFu7d8dsMrH24YdZ9sADeJlMfHzvvbw5Y4YmtdFRuoWGttpd44F+/Tj09NPEhYRo5x7cXk811L09K4sPT5zgTSX39WqjeiqLOhjiHNu1K9uzsy9aiukLJcH/+yNGNJvWkpGXU1XFD9etY8np0x4eK6fLxdYmhT6qoWUSQuvtC2jdZdrioxMncLpc1Fqt7MnN1YqDfM1mj4cFPfquI/qWc02JCQigwW5vZqQC1NhsDOvcmXPl5VRbrWRWVPDjtWtxSUnX4GDsTieR/v4e3ufKxkae37wZq9OpGXcCuK17d491CyHoFRmJEII+UVE4XS7Sysqotdn4044dHFOKO9rTJrwWGEaegUELvHnoEOF+ftyqu8BMSkggzM+PeQMG4GUytdkr85nRoz2eUHc8/rj2emJCgnZjW3PuHLFBQfSMiGDZAw94eDjA7Q2J9PfHx2zmk1OnOnSjWK2E4tIvscr360C93c4np05xe48ebd4EribVVivLU1K0qryJCxfy4tatuKTkwxMnqLXZOFxQQG5VlZbc3WC3M2/5ck3iQqVCaRMW4e/PGzNm8LPRoz3yoPbm5jI8NlaTfjlRVKQZAStTU4l/9VV+sHYtuVVVHh6HzMpKzTOY1iQ/9F2lu4TaZaKtlmZnSkoQQtCvhQIXcBsBf506FS+TiQf69fOoztQTHRCgdZToGRHBiIvsr9tR9IaIWkm9XgllqoUfl6tn2VHUfLuOiu5OTkykTpGX6Shqnl2PsDDtnFodDu37mdnCteCNgwe1/M9cXaTgRFERZfX1vDJlCt8bMYL7+/bVDH7w1Kzbd+FCmyHbY4WFNDgcNDgcmpdXzZDzMZtbFSX39/bmk3vv5WdjxjTT39PTS3nwWXrmDM+sX6/pNUopuf3DD9mQno6UkmOFhXx79WpWpKVRY7ORFB5OZWMj0QEB5D3zDL+/5RYtfKz+TjoHBjIoJoYRXbrwzJgxrE5L4/fbtnnIyHx+5gwnFIHkl3fu5IUtW/jy7Fl+tmEDwEW3FrwaGEaewTcel5ScKCrSNI/ya2o4lJ/PnN69tYRwcCeYb3z00TYvOipj4uJY+dBDPD9hAvMGDMDf25vvDh/OhPh4Iv39SVAqcYE2G8n7mM189cgjvDd7NkCH2jqp4brzSjVjU6SUfHj8OIfz8z3yAL8u2JxOJi5cSIPdzpwWcvEuhwa7vVnlc2t8fuYML+/cyaLjxzlbWqpVUepD63/fu5e7lyzRvGh/v/12cquqPCruyhsaSC8vJ9zPj21ZWdTabFgUr/GnihTKF2fPUmW1EuHvT5XVymalqhvgzYMHKW9oYOGxY1gdDo9uEuq+9NQJ/7ZWZdyekdctNNTjZn8joxYwjOrShWfHjWNCfDxHCwt5ZdcuFik5WnXXKKUh5iI9eapu3gtbt3qElI8UFLSatvGzDRsoa2jgSEGBJh/z1uHDvLxzJ8tTUjhZXEzPiAjN4NXnVFqdTl7YupWTStHB4YIChBCM7NKFJ4YM4ZdNuo88NXQoz4wZw49GjSKjoqLVkG1pfT2Pr1jB4pMnKVO0LDc++ijxwcF0Vwoo2hLsTo6I4KEBA9rUe+yv5Ov959AhdmRnaz2A1f95NTX4mM0czs/nZFERdkWfb+HRoxTU1mJzOvH39uaJIUN4UtHhq7Fa8TKZ8DGbGRcXx+niYh5fsYLfbdvGqrQ0D6/nK7t28eGJE7ikJK2sjJ3Kua9RhL07Krh9NfFqfxYDg5ubrZmZ/HLTJp6fMIGPTpwgp6oKIQRTdf01L5V7dO2QVNkAcFdNTu7enRWpqc1CAS3RMyKCToGBLDpxgmlJSa1e+KoaGzUj5Vhhocf2VbZlZfEvXY7Skvvua1bhdiNSXFdHWX29h/jo4FY8RpfKm4cO8fHJk4yLi+PhgQO1NlUtocozvH7gAPsU74YQQpNC6RwU1EzEeFK3bvSLjuZAXh4P9OtHjdXKI198QY3VSkxgoKa5NatXL0J8femhhP135eQw7aOPALcHsai2ltigIIItFhp1HqmMykq2Z2dr+naH8/MxCcHYuDjSysrw8/bm7bvu4jdbtnAoP58QX18tpy7U15f7ly5lwaBBmgwIuMN3p0tKNMPp68DtPXqQUlrKU8pvLjoggFMlJZoMiL+39yXrWV4sYb6++Ht7dzjPLsTXVysoyKiooMFuJ8TXl6dXrSLU15dN8+d7zF9vt3MwL49wPz+CLBb2XrhAUng4RxUP0yu7dgHwq/Hjua9vX54dNw6rw0FRXR0fHDvGmnPnyHc6WXPuHANiYjiUn0/PiIhW8yO9zWbmDRiAzenkk1OneHX/fv4bHe3xcAFuI08tJrIo1dZhfn6se+QRXt23j00ZGe3mKbaHr5cXXYKCNON3c0YGf8jN5Q4lIiJwt2I7mJ9PleKBa7Db+fDECcrq62lwODhcUMDw2Fh6R0ZiczpxuFxEKtX4asRFX+2cXlHBVN0+CCEoqKkhNigIXy8vvjN8OP8+eJBvDR16Q8g2GZ48g2886oXm5Z07tYvFfX36XNWnMJeU+JjNeJlMnGvF46bHJARPDBnCubIyVqelUWezYXM6m+lAvaHLM1qr9Nt1uFyklJRQ3tBAWlkZv2gi1fKDdeuuWejqcnjz4EG+vXq11tbqhYkTPZL+rwRq5fPu3Fxe0lWy6lGFgfXhcNV4kFKyIjWVrsHB/GbCBG16p8BAvqfkSnUODKS0vp6ffPUVt3zwAReU9Z3Wtes6XlREv6gohBDNqg97RUTglJLc6mouVFdjV7wRKmp+0r/27WNVWhqDYmK03CAfs5k+UVF8e/hwShsayFI0IOcNGMA/9+4ls6KC323b5rG9FamplDc0dOhh5EYhwMeH5ydM0DxWYX5+VDQ0UFxXx5NDhvDd4cPJqaryCFNeLYQQDIiOZumZM7y4dSsv79zZrubhW3fdBcC3V62i7xtvMOg//yG7qoryhgb+tns3nyl9YAFOFhVRZ7cT7OPDiNhYlqekcPeSJZpnDuC92bM98twsXl7Eh4TwwqRJ9I6MpNHhILuykiMFBZwoKvLoFdsaPmYzPxszhnNlZc204A7m5fH3PXs0QfIFgwfzo1GjAPdvQdU0jLwC0kYxOq/kW4cPc6q4mI90+acWLy8O5uVhd7kwC4FDSs6Vl1NjsyGE4IGlS/nk5Ekmd++upV7EBAQQHRCg6W92Dgritu7diQ8JaTFC0ikwkC0LFrDz8cd5ZOBAti5Y4NGh43piePIMbkh2ZGeTHB5OYW0tCaGhrSboXglaEp+98yqXvaeWlrLm3Dl8zOYOa3mpEi6/376dnTk5+Ht7szotje2PPablOalVtQ8PGMDWrCx+s2ULaaWlLGpS4h8XEqLd4Erq6jhfXn5D5I+0hPp0nVlZSb3dzgfHjxNssTCrV68rup1Fx49zUDHW4kNCyKmqYk9uLmPj4jzmu2fJEgJ8fJBSkhwRoWkh9oyIIK2sjFPFxUxMSOBHX33FX6dOJSk83KPaMcrfn905OeRUVdFot1PR2EhMYCCR/v7MGzCAj0+eJLuyUvMkvz59OmPffVdb/oF+/TheVITD5cLbZMIpJeG+viSEhGBzOrU8p9zqapLCw3lr5kxN/0s1Bi1mMwHe3kT4+5NRUcGQTp20xH1wy7eohUaZFRX4e3sz6TrlPl4J9GHBxLAw+kVH8/e9e9mfl3fRhR+Xwrj4ePbrdA1nJCe3mrcI/wud19vtOFwurcjG6nSyRDHw7ujRgxBfXy5UV1NvtzM+Pp6+UVHsz8tDCIFZCKYnJ/PT0aM9qp6bEq6cmy/OntW+/03bkbXGlMREekZEsCc3l8cGD9bGv7tmDeD+HpmFILiJl69TYCBv3XWXRxrBpdKSJmRRbS2TEhIoqK1lc0YG+bW1ICUuoKKhAR+zmQaHQ1MieHnXLh4aMAA/Ly8i/f359L77SAgJweLlxfIHHyROUVb43bZt7MzJwelyYRICs8mkeRIvVFdr11D1t3MjYHjyDG44yhsaeGb9emZ+8gnfWrXKQxvsalDWREph1xNPMFDJi7laqJ6fQB8fiuvqcLpc/L89e9oMIUXpnliPFRayWtH/OqzL06u2WukZEcFPx4zh/ymtopoq1E9PTub/7ryTWb168cqUKcDFSbRca364di0TFy7U8mxK6+sZHx9/Wb1Zwd1jWK10PVJQwGv799NgtzMjOZn3Zs8mxNeXH3/1Fd9dvVqrVFY9nnU2G/V2Ow/07cuuJ57gpdtu44M5c7TOKKeLi3G6XJTW1zeTs4j096eysVHz5vp6eVFYW4vd6WSmLkyq3jB8zGa+ePBB/jtzJtOTk3mgXz9evu02fjJqlFZkUdbQQH5NDY0OB2llZVQ1NlJaX0+nwEBMQmg3qZk9e2J3OimorSU+JIQAxej74uxZrQsAuG+SaWVlvHf0KBWNjW0aCV8H9PvfPSyMLkFBhPv5aV7hq83c/v35w623ap7FP+/a1aY3z9tsxiSEh7aht8nkkarw5127OJSfT6GSWzYoJsb90FFernmbekdGtvvZCSEI9fXVihZm9ux5UaH54bGxnFK+7/suXOD/dKkg9XY7/t7eWFuIFAyLjfXIeb5UqppU1qpV3ZMTE2lUij4cyvZ9vbwwCYFVeXBUjzmjooKN6elaPvO8ZcuY9P77vHXoEJ0CAxGK5uGkbt2otlpZn55Og8OB0+XSvJ6XIntzLTCMPIMbCpdSFaXndAcT4S+F8+XlHonDPcLDr8lT2OGCAhJCQ0kMC2NLZiazP/2UT0+d4vEVK5oJ1apIKQn386Pebvcwyp5Zv54dinBzUV2d5gXoGRGBw+WioLZWy40Z1rkzv5k4ka7BwSSEhPDsxo04Xa4bwsg7U1LCVl1BAbg9Aduys8murKRU5/GcfZlevBqr1aPv5F6dFESvyEhCfX0ZGB2NlJKD+fmsUT6Tpl5X9ftyR1IS3mYzH91zD4vvuUe78aw7f57S+nrSysq0cxzh54fV6eRCdTU+Xl6aNEqgxUK30FBN+FXvWY0LCWFI586aofD9kSN5afJkvj9ihCZOHOHnh5fJhEtK9uflUVpfr4XDIvz9+eqRR7ivb1/GvPsu/2/PHoItFq2a2yUld/XsyYNKYn5RXR0/Xb+eNw4e5FhhoYeQ7dcRvSevm5L0PyA6mn0XLlwTTUmT4lVb+/DDfGvoUA9R9JbIraqioqEBm8vFz8eO5S+TJ9M9NBSTEHQLDcUlJRszMvjO6tUcLyxECOFhtLukpNHhaDcceqq4mJ05OXQODKRPVBT/mjaNX0+ceFEPUL0iIrT+xn/Yvp3/HDpEjc3mNqJcLh7q358fjBzZ4fVdLLfrcqdHxMay6O67Nb3Jk0qlsENKJG5j38dsxttkItjHB7PJRJRyjn6yfj0WLy/t9+dwufjvkSOMffddzdiemJBAUng4S06f1irk1QpffepMWlkZWzMzb4g0GMPIM2iXY4WFbExPvybbanrhGxsXR0ldHRVXSbj0qZUryaqspF90NO/MmsUrkydfle2obEhP55VduzhSUMCwzp01j6F6Eamz2Xhx69YWZQlK6uspq6/Xekn2jYpiTNeuSCn5zurVvH7gABeqq7UcFX2Yx+ly8cORI/ntLbdoeWxLTp/GJAQhvr4ttoq61vz4q6/4xcaNWmgR3EUihbW11CuJ4uPj43lzxgyG6WQcLgW1DdHeCxdodDg8vneqF0MN2ZuEYKdiRKvnc0ZyMncmJTUTOvUxm8muqsLhcjG7Vy9OFhUx7aOPmLdsGXM//xyAlWlp5NXUUGuzkV1Zqd0cHh4wAG+zmfiQEKIDAjqUrxRksRDh78/S++9nZq9e+Ht742M2c7KoiIrGRu0GVm+3U97QwPtKdxWAH44cyUu33caPRo1iaOfOzO7Vy6MSVM3tK6ytbbMK8nLJrKi45DZeHUX1pqpyRACPDBxIaX19s4cqKSXLU1JaTOO4Eqjh/7Y8P+8cOYKP2Yyflxfjunbl+yNH4uvlRWVDA6eKiymtr8eiHMeJ4mK8TSbMJhPPbd5MbGAgPiYTtTabZvS1xsKjRwnx9eX7I0bQ6HDQJyoKL5OJtLKyDnezUH8Dv96yRRMbrmxo4DcTJ5IcHs68AQOuarrNvAED2P7YY+x8/HH+b/p0ekZE8L0RI0ivqCC/thbVXJW4PXneZjNmk4nIgAB6RUayaf58ksPDtcr0hJAQfjp6tOaVB7SHaC+Tid6RkZTW12tGXpS/P5H+/trvOLuyknnLlvGLjRvb7Fl8rbhxAscGNyxPKU2bpzbRcLvSOF0uLflczYm6MymJPbm5ZFZWNgs7uKSk1mZrVyW/NawOB7VKGG7BoEFXvFKzJX67bZsWIhgeG8vEhAQGREdr4RW1V26d3d6sWu2C0jTey2SiymplXv/+TExIYOjbb3Ohupr/HDpEZmUlBbW1HC4o4NcTJmjb8vP2ZoEuZ8YlpeaVCvX11UKh14uqxkbNkF+TlqYZv5+eOoWUkt4REVidTnbl5HCiqIgtCxZc0nbyqquJCgjw6DW5NTOTCzU19IyIYMGgQZqQ9e09ejAlMZG/7t7NitRU5n/xheahe2ro0FZzuT4/c4YuwcH8euJELF5eWpK82mXiSEEByeHhpFdU4JISXy8vzEJoRsXDSuVie3x4/Dj/2r9f88IM7tSJDenpdAsNZdGJEwjcOXhj3n1X+x6o/OOOOzQR6fmDBml9Zm1OJ14mE6eKiz1Em9srFLgc7l+6FID9Tz2F2WSiuK6O/9u/n1+NH6/lml4uMYGBfHrffZh1HqrBnTrRJTiYrZmZWlGClJI/7tjBytRUThcX88KkSVdk+3oSlCKY7MpKaEXIO8hiwc/bm26hofSOiqKsoQGXlFTbbFTbbO4QqMOBSQhSy8rwNZupbGjA5nSy5uGH+f22bRTX1TGqa1e2Z2UxMSHBwztndzpZnpLC3gsXuDMpSfNGZVZUkFVZydOrVvHsuHGa5EpbqIU7qkyQS0rq7HZNiqQjklOXgxCixe/J0YICTQblbGkp1VYrUX5+uKSksLaWB/r2pV90NIlhYQT6+BBssVBvt/P8hAlMSUzk4YEDcbpc3PXJJxwtKNDORbifH+UNDRxTqpeTIyKIDQrSjLysykr3w3Zg4A0hUWV48gw6zJdnz2rVUleKFWfPklZWxomiIia9/z4vbN1KpL8/78+Zw6K779YqC1sS8/zy7Flu++ADnt+8uUM3IfXJ1OZ0siYtTTOs/jp1qpZonFNV1SEtukshp6rK42Y7rHNnfL28mJyYyLeHD+fpYcO0422pr6Te2+RwuThTUsKpkhLMJhOS/2lDqfIQv96yhZjAQOKCgzEJoYULbU6nh2c2wNub7KoqGh0ONmVkdPgJ/kphdTj4zpo1VCjipPvy8sirruZAXh57c3MJsVj47S23aGH0aqu1RYX7jmxn9qef8vzmzezPy+POpCTC/fzYmpVFdmUlA2NiuKNJmzqTENzeowd2p5MzJSXkKcnVaou7pjhdLk4VF3OL0vbup0oVocq9n30GuD0CqrCxlyKno36+c3r3bvfmWmuzaTI4nYOCMAmhef4Gd+pEvc1GtdWKr5dXMwPvr1OnttolxMdsZlSXLixLSQHc3i5o7mG/Grx1+DAfnTjB+8eOse78eVakpl7R9SeFh3t0ohFCMCM5mf15eexRwvVZlZWsVLbbcAnXunXnzvHYl182O+d6gi0WwttpXaZ+v783YgR/3L6daR99pO1Pt5AQQiwWhBBkV1W5i238/XFIiRCCxLAwBnfqRKPTyednzvCzDRtYp/MovX7gADM/+YS/7dmDzemkf3Q0/aOj8fP2ZkVqqlZItF+nB9cWQgieGTOGLQsW8Pr06XQPC8PbbGZrVhYBPj7aue0IH588yT1Llng8hF0qZ0tLsZjNLLr7bp4bP574kBBsLhfPjh3LOzNn8tLkycwbMACTEFqepkkIj3xss8nEhPh4duTkaCLIkf7+2J1O/rF3L/EhIcQGBXkYeRszMqix2Sirryf7BkiDMYw8gzbRt8b6044d/HX37iu27vyaGv64Ywd3L1nCY19+SaPDQY/wcBbdfTfBFgt9o6KIDggg0MeHs4pKvR41l25Denq7htn8L77gV5s2Ae4LyXObN2tK/6eKi5m4cCHvHT3K/UuX8vSqVQx/+222ZGZeMQ+G3enUKs7m9u/PLd26EdEkHCeE0AQ59cUgUkoWnzjBH7Zvd69LSb7+vwMH2JKZSajFwsP9+5MQEkKUvz9bFyxg/qBBFNbW4u/tzfuzZ+NlMnHPkiUsT0lh7Lvv8ustW7Rt+pjN1Nls/GbLFn61adMlJ6PnVVcz/4svmsm66Pn15s0s+PJLj7HUsjK2Z2VRUlfHzJ49KaipYfann/K9NWsobWggOjCQmT17snn+fL47fDjgvoAfzs/nA134sT1UyZNtWVlUNjYyNi6O3pGRbMnMpMHhaLWR+NDOnXl31iziQ0LoFBjI7265pcWcpS2ZmaxMTcXmdGqeEX3lX0xgoGZovzhpEn0iI4kLDub/7ryTPlFRF+VNVT+j5ydM4PU77wTQqmpHdulCteJFUfOLVF6dNq1dKRR9ZeWkhARm9uzJr3VyMFcSp66Q4L2jR3l13z7NuLsWKQSPDR6Ml8nEYaUQSi+Lcynh2j25uVqeW1t0Cw1t1cj71sqVrFU066qtVk3vzuLlxd29ezM+Pp5QX18mdetGlL8/vl5elNbXc66sjEh/f7xMJgbExNBgt/P/lFaI+m4n7x87pnVg6RoczLj4eIItFm7t1o09ubl8cuoUAIV1deRWVfGrTZva/E2rBFss9I6MpKC2lhCLhTMlJZwrK+O327Z5fM6tUWuz8Y+9e8mpquJvHWzh2Bo1Viv5NTWE+voS5uvrEcX49vDhPDRggMf83UNDOVdezlNDhzbLP52enIzV4dCK5fTT1VB1bFAQhbW1OF0uzXun/71fT4xwrUGLNDocrExNbZYX1N7FqyWOFxZyMD9fEyZV2X/hAg6XS7vYzUhO5pN77/UQkBRCMDw2lr1K+xz9zbVWZ4DuyM72aLejR/V6nSkpwapUH6ZXVFBx5gxhvr58cOwYQgjeOHiQpPBwzcP37MaN3NqtG39TqlQvh5TSUopqa+kZEcHPx45tdT41d0VVuv/8zBlNzBTcF+WcqiosZjPF9fV8dOIEQzp35pWpU7n9ww+Z1asXkf7+PDV0KGvOnaOsvp7+MTH87pZb+M2WLR6VyjGBgVgUKQFwGz/gzv0Ddx6XqvzeFmvS0tiVk4PFy4szJSV8fPIksUFBSCl5WPEEqf1W1yseRJeU2udcWFuL1enEV9HuUg3rBoeDRoeDBYMGIZTcwfv69uXdo0d569Ahjiu5e48OGtQh0dHUJg8Ko7p2Ja+mhj25uczr37/NiupBnTqx/MEH21z/szr9wV46aYj1jzyCt9lMoI8PI//7X8AtIZFaWkqnwEAmduvG6ZISNmVkYHc6W5SEaIp6056SmKilK6jV14uOH8epnF/9591R0Wu9rEVsUBC/veWWdpe5VJpWRnYPC9O89tfCC+JjNpMUHq49RJ4vL0cIwS1K0/mLJVO5li1PSWnTmO4WGsqWJkVG4K4cV426wtpaTevujh49eGHSJHy9vDhXVsZDy5YxtmtXeoaHsyotjXNKt4UBynd4SmIiZ0tL+UiRTlK7ZTRtp7f8wQe1307vyEjWnjunzZNaWsrdS5YAbi26nzbp090Uq8NBXnU1FrMZh/IdVqtVL1RXa2HqljhWWOih8VljtXrI+FwsJ4uLsTqdDImIcKe4CMEfb72VzrpWk3pUz/zbhw/TMyLCo1WiWhj1i40b+ccdd3ik0ag5r7FBQVoKjOr1DvD29qiOvl4YnjwDDz4+eZJ/7N3LX3fv5q+7d/Psxo14m82aBlJlY6NHGX9HeHLlSv5z6JBHFZuUkiWnT3tcyPV9NvVMiI+nsLaWA3l5fHb6tPYjyqysZHpyMkM7d+a40pZsT24udy5e7FEFqfcIfHD8OJ8ouSP1djul9fUehuM7s2axTmmiDrArN/eKePPUm8ir06a1Od/eCxfIqqzk1X37SHrtNX67das27Y4ePcitrsbmdGoXF9XgC/fz45N77+VlpXDE39ubVQ89xGf330+gjw/TkpK0G4BK58BAhnbu3Mxj8pstW3C6XExcuJAnVqxo99j+tmcPGzMyNEmXT0+d4h979/LPffu00O8ru3d7XMT1T7iLT56k0eHAR9Fuy6upweZ0aqkB+tZlIb6+PNS/Pyd03samNy492ZWVWn5bWlmZW1tw3jzeuusuwv38eHjAAN6bPVsTZ71UypsUBulvaBH+/gRbLJiE4M+TJ7t7u8bEUNHYqBn1cYpxe8sHHzTrkgHu8N2P1q3juU2b+Nn69bx9+DCdAgM98lE7BwYS4e/PiaIiuoeGNntAay3E3BS9CPiVEKttC/WzGxgTw1+nTuVeXYeWjniPOkp2ZSUPLF3q4dFqsNupamxkYEwMRwsLOV9ezudnztAzIoIkRaPzYqojXVKSVVmJr5cX+/Py2tz/+JAQKhsbqbZaOVdWxp927MAlpUelv17M+KXJkzWDRxW2/vOuXUxLSqLKatWkSHoqRryXycRPRo+mi/KZnykp4Z4lS5r9nvUPR/oiopebFKAdKyrC6XK1mq5TXFfHuPfeY3lKCiYhmJKYSLifn5Yrl9mK19LqcHDvZ5/x1MqVWjTmZ2PGUG21Mv6991ioRFsulnNlZTQ6HAzR5VnfmZzcat61fr6fb9jgkUtn0Rmaz23eTP+oKHpGRGBVrlng/p002O3kVlVR3tiICff3odpq1XIVrxftGnlCiDFCiH8LIU4IIUqEEDlCiLVCiO8LIS5ZRVIIESeE2CqESBFCnBZC/FgZ/50QIk8IcUz5m65b5jkhxHkhRKoQ4g7d+DAhxEll2mtCuWsLISxCiCXK+H4hRLdL3d9vAvV2O//Yu5ePT57U8lIABkRH84ORI/ntpEm4pLzki+/31qxhzqefsiM7m9L6es6UlBBssRBqsdArIgIpZYs37Kk9euDv7c33167lr7t38/bhw9Tb7RTV1tItNJT+0dGklpay9tw5frRuHSV1dSxPSaHBbmf9+fNaR4k6m41fbdqkea4aHQ6EEEzu3p17+vThgX79CPTxISoggITQUP5w663Ync4W8wEvBrvTyaq0NML9/DTjDNwXgXeOHPE4n0vPnCHEYuFoYSEFtbVkVVUR6OPDrydMYMHgwQjcXqDpycl4mUzU2e1sULxjyRERHk+ZPmazR4XYG9O1nxIo6xnWubMmNqxiczq1pOKzpaXt5ui1NXW7UpXW0MTA//zMGaqtViobGzWPhsDt8ay2Wt1CwQ4HFrO5mXHST5E2UWn6tLwjO5vfbt3Ku0eOcO9nn/FnxZu1IT2dnKoqogMCGBYbi13xHg6Miblszb3/HDrk8d7L1PKldWqPHjw7bhwWLy/KGxq0qlVVLsXqcLC/hV6gB5W8sY0ZGWzPzqbR4dA6aKgIIRiu5HROTkxk6f33a9NMQnjcrNoi2GLhjRkz+GDOnGbh3iuNGhL9zvDh3Na9O7N69dLORZGiH3m5nCkp4b6lS8moqGBDejr1djsuKfnWqlVMXrSI9IoKam025n7+OZWNjfxq3DjN6G4tcV7/8KCSWVFBo8PB48oD8fo2KivV73RedTXfX7uWL8+eJa+6mneUwiunUpADeLSYA3cKgFoF/fvt22mw23ln1iyeHTeumbftiwcfbLFIaUBMDJObeBoH6R4CJ3fvzi/GjmXlQw/x7WHDOFNSwuMrVjDzk0+aGXqfnT7NiLffBmDhsWNkVFSwOzfX48Fn3blzLeYp7snNbfaQObNXL60d478PHmy1B3drZFRUaBGnpsfYGiO6dPE4T029yG/PnMmPRo3C6nDwk/XrOVtaSllDAw8PHMjHJ0/yw3XryK6q4q3Dh6lubMRsMlFYW0thba1HJOZ60OavXgixDsgHVgAvAcWAL9ATuBVYIYT4h5Ry5SVs2wH8TEp5RAgRBBwWQqjxjn9KKf9fk33pC8wF+gGxwCYhRE8ppRN4E3ga2AesBaYB64AngQopZZIQYi7wF6DtmMs3mHNNwhN39OjB+vR0LfSkyhDkVlU1E3hV+eTkSRYeO8YLEycyISFB84LZXS6WnjmDl8mEv7c3Pxw5kkaHA38vL34wdixRAQH8dfduKhoaPJpng9srlRQerklrnC0t1UK83ZWm6YuOH/doQ5Wm5IKoBoTV4aDaasXqdGJ1OokJCNA8Yn+eMqXFcF9/paXNiaKiy+rt+tX586SUlPCHW2/1MCbSysr4j9IrdbPSj7LR4SDMz88jB9HhcpEQGsq8ZcsAWDh7NiOV5PhaoLy+ni9SUhjVtSuxSjhCSsm0xYuZ268fjyt5fn7e3tzTpw9nS0s5U1LC9ORkYgICEELgVKoqA3x8OF9W5tEhQ+3t2JRGh4PlKSkeeZvzBgyg1mZjfHw8z27cyB+2b8ehiAKr1Nvt/H3vXt48eJBGh4NKJWQX6uvLlqwsovz9tcbhM5KTm3023ZuEfbIqK+kTGUm93c5zmzezOSMDP510xKq0NJ6fMIED+fmEWCxkVlSwPTubtw4fZlSXLrw6bdpl9Zg8UlDA8pQUAnx86BMZyag2+t3qKW9oIEH5HSWGhfH2zJk8vWpVi0UOar6eWtmXHBHBnU2KRACmJSWxPj2d7qGhdA4KYufjj3uci47SVs/eK4n6UKeG9fy9vVl09918kZLCSzt3UlxX12qIrSNIKZn/xRfa+/ePHeOLs2eZGB+v/cYOKV63bqGhxAYF0T86Wvud5lZX42Uy0SkwEG+z2S2PsXy5Zuj8d+ZMhiiGtfpgdEdSEqvS0lrMI1ZRf6d5NTWaMXQwP1/zcKteon/ecQfjlE43elY99BB3fPQRJ4qKiA4IYFBMTIteKpMQBFsszO7Vy6OQ5b1Zs5o92JhNJj67/37sTidmk4kH+/cHYEJCAm8dPqz1xP7X/v08O24c5Q0NzP38c44WFNCgaPI5XC6sTqdHFTPA5sxM+p06pVVxq3xy6hTBFgs/HDmSCH9/UktLCfTx4bnx43lk4EAeXr6cpadP81wHc0L/smsXS8+cIbe6Gm+TqdUUnpYItlj429Sp/GLjRo9UIHDn5faPjua1/fs5U1KCSQhig4J4btMmDubnY1YEpdedP0+jw4GXyYSXyUSFYvBdT9p7tHtUStn0m1oLHFH+/i6EiGy+WPtIKQuAAuV1jRAiBWjryjIb+FRKaQUyhRDngZFCiCwgWEq5F0AIsQiYg9vImw38Tln+c+B1IYSQ17p88GuCeiN+cdIkAn18uKVbNwZ16qQlpHcPC0MIwdnSUgJ8fOgbFcWxwkJWpaYyPj6eOxS5k/KGBl7cto018+aRolwY1Kdegdu4+b8DB7A6HEQGBPCtYcO0C2LTsJfK90aM4N0jR0iOiODTU6e0+buFhpIQGkpUQICmtRVksVCoKParqMrrlVYroRYLL0ycyL8PHmRo586t3uDjgoMJ8fXlZHExdytPlmvPnaPOZuP+DkgLqGzKyCA+JKTZTVk1WqutVj4/c4Z+0dGajEiAtze1djs9w8NpdDh4S/EUdQ0Opn90NBeqq4kLDtaO9SdffcWUxETenT2b9efPa4UV/z54UDPywJ2o73S5KKqrIzYoCIfLhZfJRHJ0NOfKy7m7d2+e37yZVamphPr6IoC/7t7NmzNmEOHvT0FNDQ8vX06jw0F0QEAzgyQ+JESTo1g4ezaPr1ihFbzMGzCAQB8fPjt9mpwLF6i2Wgn28cFiNjO5e3cyKyvJrKjwCBGqOX16uoWGehirL27dyr/272dqYiJ7cnPJqa4mKSwMs8nEqC5d2J+Xx+dnzuCSkgAfHx5U9OrA7Uk4V1amFUpcCmoRxOqHHrooBf+KxkaPG/PQzp09ctL0ZFRUEB0QwNqHH6bWZmuWn6oyPj6eV6dNY4Ryc7sUAw9odf1XkpK6Oq2Pcpcm3lo1L/BwQQF3tWLkOV0uVqSmeuQlqmxMT6fWZmOvrkI0wt+fsvp6qhobWaWkFsD/JDi8TCZWzJ2LUASHwS00Du5K+LdmzmThsWMenqxvrVrF3iefpM5uZ09uLjGBgXQJCiI5PJzzbUQAuijHpPfiq/mTz4wZw8b0dE4UFdE7MrLF65NJCLqHhlLR0NAhT/QLkyYxJTGRH65bh7+3d6vz6z3/Kr0jI3liyBByq6pwSsn69HSeHTeOA3l5lNXX0+BwIHE/9NXZbCSFh7Ph0Ue546OPALcu4J7cXPbm5jJ/0CCWnj7NxIQEKhsbOVJQwM/GjNGur2rVtyruPKxzZ5alpPDwwIGtOhZUqq1Wlp45Q53NRq3NRpS//0VL8Kh5uS1V76vdaRp1n/+WzEyCLBaeGTOG/Xl5vH34MFJKxnTtSllDA/7e3vzjCuR0Xw5tmphSylIhxBwhxM/14dGm81zuTihh1CGA2g/lB0p4+D0hhPqt6wLoa7EvKGNdlNdNxz2WkVI6gCrg6nWd/5pQbbXymy1bNANMRa3oHB8fz23du2MSQgthgvtJJzk8nOVnz/LUypX8aN06vr92LevOn+cHa9fy4NKlbM/OJjoggKrGRn69eTO/2LgRf29vfjFmDHHBwSSGhRHm60taWRk+Xl4kh4fjYzZrFUsVreRXDY+N5c277mKi4h3cmJFBtdXK77dvp6i2liTl4jQ2Lo4p3bt7COqCWz4h1M+PrsHBdAoKYsHgwax/5BGt9VdLCCHoFRHhUXH34tat/GX37g7n6S0+cYLdubkM0HkHVA7l5xPh78+AmBj+sW8fbx06RJDFwouTJtElOJiksDD+eOutSCk5WliIw+Uiu7KSn2/YQEZFBUII3p89GwCb0tniQF4eGzMy2twns8mkeRK8TCZ6RkTg6+XFmzNmcLqkBJvTSW51NefKyjCbTG65kcWLAXfhTbWSFL1bJ42gSn7oPUCqJ1QlLjiYRwYO1Dx/ccHBdFG+E6O7dtWqjVVdraeHDWtR6kMIwfMTJrDo7rt5XnnCL6uv1zT1XErYP9DHR1PaV6vCA3VGzz/ucF/SlqWkXJJsjBrOy6+pIdhiuSgDT93HpiKxyeHhnG0h4T+zslLzYAb6+LS6LSEE4+PjOxyabYqUkp9+9RUPfP75VZfSWZmaqoXxm2pC9o2KIjYoqE0x2b0XLvDyzp083iTPrLiujuc2b+alnTs1T/7WBQtYNGcOfXRdRPSFEbGBgWxbsED7jfp6eVGgy8k7XFBAXnV1i1X8v9i4kSmLFrE7N5dJih5dr8hIcquqWu1LHeDjQ4ivb4sVtmPj4hgYE4Ovt3ebOZHqtKae7dYY3bUrf7j1Vv42dWqH5tfzvREj+POUKQyKiaGqsZEqxUBrVAw8Xy8v7urZk/jQUF6cOJEIpQ8zwN+mTuWePn04oxSf/WX3bp7ZsIGvzp/H22xmRpNwtB61f/N316xpFro/nJ/vcX5/sHYtZfX15CgPnu0ZhS2h/q5ak2h6fsIEnho6lPfnzOF7I0bQ6HQicecNdw4MxOly4VR0An3MZn4yahT3Kg+914s2jTwhxBvAT3EbRn8UQrxwpXdACBEILAN+IqWsxh167QEMxu3p+7s6awuLyzbG21qm6T48LYQ4JIQ4VHIVW2jdKOzNzeWr8+d59IsvPPJKSuvrMSlu59YY3bUrRUoO1KH8fO1GUFBby4rUVNIrKkgpKaGkrk4zCMZ07crHp04R6OODSQiiAgIoqqvD5XJpoWD1ZtdeZ4shnToR6e/PmrQ0yhT194XHjmlCyb0jIzlXXk5mZaVmTLiUxtQxAQHc3bs3D/brh0kILSG+LSL8/Frcp47mifxz3z6gedK71eFg34ULTEpI4MkhQ7A7nezOzeXePn2YlpTEtKQk/j1jBskREZwtK6Okvp6S+nrMJhOHCwq0ROZhsbFM6d4df29vDubl8fDy5R76Vh0JQ47p2pWTxcV8d80a9l+4gJfJhNPlwstsJkPpRnC6pIRVZ8+yOSOD8oYG8qqrsTkc/OHWW5mUkMB3hg/n0NNPEx8SQo3Vyt927+Z327bx2ODBDO3UiXq7HaeU/HzDBsoaGugcGOhxY5/bvz951dVYHQ5GdenC8gcf5FtNqrFbYkZyskf17z8Vw+227t3Z8OijJCltxxwuF52U0PS4uDhig4IYGxfH3P79WZ6S4pGD2lE+O32a2Z9+ytasLM1o7gifnDzJe0ePam3q9AyMiaGottbj5uWSksyKiha9LFeanKoqdubkuLtQtKDVeCVZlZpKVlUVv5k4sdk0IQTTkpI4kJfXqndfDW1mV1ZqRryU0qPKGeD3t9xCkMVCTGCg9v0AuLt3by01xO5yUW2zcaKoCJuiidhgt5NXU8N/7roLgLnLlpFfU8PPx47V8u7gf91THC6XVpU5LSkJCfxj716sDgf/3LtXC+eqdAkKIruyEqfOmJ6RnEx8SAj5NTXEBgW16aFTHzQ7Gs4WSmu1URfRl1alvKGBh5cv1yq/X923j+UpKcQpsk09wsLIrKzELITmnf7J6NHsefJJLF5eDO3cmTqbjb/v3Qu4q20PFxTQPyqqzWvwjJ49eWHiRIpqa/nO6tX8accOvr9mDe8fPcq3V6/mkeXLAff1+GRREWUNDXQJCiI6IICndBGMjuJjNuPn7d2qfM705GSmJCby/ObNWMxmGu12Cmtq8Pf21qIikX5+2J1Onhkzpt2K5GtBe8HiicBtUsrngFtwh0GvGEIIb9wG3mIp5XIAKWWRlNIppXQB/wXUpncXgDjd4l1x5wteUF43HfdYRgjhBYQAze7OUsq3pZTDpZTDo3RPejcr+lyRg7ok79L6esL9/No0DFrqGfrWXXfh7+2NU0pGxMYS4utLTGAgz40fzzNjxnB3795UNjZqN20vk4lqq5UQX1/tghPg7U2Ynx/Lz57VWsi0hNlk4sejRv1/9t47PK7qXPv+7ekzmhn13i3Zliu4926DjQFTTQs9QEJ6IT0hIZ2UE0hCTugdbIxt3HG3ce/dkq1i9a7RzGh62d8fe+2dkWwgOefk5H3fL8916QJbljTas/daz7qfu+AKBjVicm3CiG9yQYEmIvCGw+gkiSKnE1cgoJBg58/nW9Om/b2XSuNAQX/XfxU1+rRSc2TvTvBl2lxTw7SXX8YfiTB/0KB+I7sxOTmY9Hp+MW8e04uKONDUhN1opNPn6xdRtKu+nlyHA5vRyNU5OegAfzRKi9dLbzDId6dPpzg5mVg8/qnZnImIWyAaxWEyYTYYCEYiGHU60q1WjDodt69YwYvHj1PvduMKBglEo8wuKeF3117bb6F+/eRJlp09y/qLF3n1xAkOt7bSGwxS53JxqLmZu0eNIsVi0Zq8O0aMYHd9vWIgGggQjccpSk7+u8aFZoOBtXfdBSinfouI9YrJspJRqdfz0YMP8sqSJaRarTy3eDHPLFrEmrvuwqDT8fUpUyhMTv7Ee+5KJcuypn7s9vv/oSbvd/v3a0KNgXFhKodoXcI4scXrJRiN9jPy/WeUmuer1j87cP1iTw9Wg0Hz9xtY4/PytAb3SpVIFdgmPC1/s2+fYkadYIGRiBRl2GyMzs7GoNMxqaCAZbfdxlNz5gCKT99DH3zAu2fOUOtyUZSczKisLMbn5fH4hAn4wmGy7XZuHDqUL0yceEVLHdXMvMDpZGxODltra5n28su8dfo0n12zhrdPn9bWjXyHgzOdnVzo7qYwOZm7Ro5kUkEBOkmi2eslT6wdA+t8Z6fmAQeX30MD67+TnxqNx7nQ3c0HlZVUdXXx4rFjSKCNu/2RCKOzs8l1ONgvcoBVZblOeHAmXhcVWfWFw1R2dWl8xk8qVe19vK2N1ZWVHGxu5nf79xOKxegJBLjY3c2GixfxR6OUpabiNJs5+/jj3JfQiP8jlWQ0XlH8pNYvPvqIFq8XdyiEPxoFSaLD5yPTZkOSJHIcDvQ6HUtHjMD2X6RL/E/WpzV5YSFsQJZlP1dGxv5LJRSwLwHnZVn+fcLfJ77rNwNnxP+vAe4UitlSYDBwSHD7vJIkTRbf8z4UoYj6Napk5jZg+7/5eAonLtViodPvpzZhAe1OCDT/uCpOSeGHM2fy0JgxDM3IwGo0UiwCv/WSxFcmTWLZbbeRYrHwzMGD3DZ8OB0CEZhTWqpZB5SnpjIxP1/jqalGwPW9vXz9ww+vmPig1qsnTij8KqORrKQkznd18dCYMTy7aBFjc3OJxeMaH+MvixezUHAKr/kvxLKlWa0Eo1ECkUg/ldSaqipN1fpxFYvH6fD5eGjMmH7cEDUrc2ZxMRPy8vohWgNHDLvq68l3OilJScFpNmuox9mODooEOpjrcJBssZAl3juLwcAv9+zhdEcH4VjsigrBLr+f10+eZP2FC3xm5UptPHHPyJHYTCZl7Ikyor939GgGpaYSjceJy7K2CMRlmW1XGA0fGTDS0guSspqicP9VV/G1yZNZc9ddPDJ2LJ8bP57Kri7SLBYisRiHWlr+rkSLVq+XuCyTbrPx8pIl/Hj2bNr7+jBIUj8lnyRJ9IiT+cD7WydJjMzM5PwnkORB+DA+/zydPh+yLPOFDRu0sbgkSZoa8NNqoMJwoCF2eVoaUwoKeE9wCEG533XCL/KfWSvF+6NuzAORp//JkmUZdyiESa/vJ8pJLPW9euHYsSs2Ko1uN8MyM3l4zBhcgQBHWlq0CLmn5szh/quu4suTJl32dc8tXsyWe+9FJ0k4zGamFRZi0utZce4cAM8ePMjPdu/GoNMRjcfxhEJUdnUhATeJfGBQGrnEw80fFi7sp6r+zvTpl/3s3+/fzw+2b0eWZfIcDi1FobKzk3fOnOFHO3bQ6vXS4vVexlMMRaNsq63lMytXcueKFXxp4kS+NnnyFYUZ5zs7aXC7Od3eztSXXuLaN9+k8b/gO/jLjz7i7vff58/C/qgnENDu2UAkgjcc5rbhw/nyxIn4w2GsBsMVleUDxXSgrB9j/o4oyZIrjKPDsRhuYUGz+O23ee3ECcx6PSaDgb0PPfTfaq7CsRjVPT3svYInbLffr1GBXj5+nEFiXX5iyxYONjczNjeXH4k1+p+dx/z31qc1eRWCG3dKkqTTCX8+LUnSqU/52k+racC9wNwBdilPJ3z/OSjjYmRZPgssB84Bm4AvqA0o8HngRaAaqEERXYDSRKYLkcbXge/8N1/z/xPV7PViNRrp8vt5+/RpTaDQFQhop+pznZ08vXfvFUclSyoqeHzCBF5ZsoS1d91Fq9eLw2RCL0m8ffo0QzMy+N6MGfgjEY60tGhJDcXJyYzOzqbF60WSJB6fMKEfWjNf8C8Arn3zTWp6etheV6eNh8OxGIebmzWOXJLJxNTCQkLRKEvfe49lZ8/iFyOWDJuNJKORx9atU5paq5WfzZ37D18rbYwcDGqboNos/m7/fn62e/fHNiTtPh9xWdZI1gDPHT7MnoYG5pWW8vtrr70MrUpEhHzhMGc6OtBJEhaDAZ0kccOQIVoqhrpw3jpsGN+aNk2zVZgtuEYmYXR8cgA/EeCpXbt49uBBnty5k04Rv6NmY3b5fBh1OnQo6scmr5dOnw+zwYCEwndwmEyY9HqWiU01LssaQtHe18cNQ4ZoSrqByHBhcjL3jB6N02zmsfHjMen17KyvR6/TUZySQp3LxcI33/xYPhMovKsb3nmHvx45wtmODupcLswGAx0+n2Ytk1hqI3GlQ8yY3Fw6fL5+vmQDa6NozL+1ZQuj//IXRTHd1cXY3FzW3313v5SIT6pWcS8vKi/nSxMnMmoAbxEUC4lOn4+JL7zAqydOsLqykrtHjfovcYz+3grHYrx4/DgziorY+9BDjM3N5dUTJ+j0+XAHg1oixMD6uDPz2qqqfhODiLDliQvOZF1vr2Z2+3GGsepadKSlhQVvvMEOgQJV9/RQ53LR5PVS4HBoBtrqVOK706crCv5Jky5Tc4JyCErkNCZbLNwplKQDKxiNsuCNN9heV4ckSYQSmk2dJGl+mrNLSpg+oNkqTU3l6QULGJ2drUXYAXxYU0NPIMAsgTY6TaZ+CswjLS30hcP91oJjra18aeNGvrhhAx1+P/5IBF8kwj2jR2vPl4rYX+ju5t5Vq3hg9WoNOVM5q1eqj0P6uv1+NlZXk5WU1I/jqYpFUq1WnGYztw4bxoT8fPQ6Hd2BAA9/8MEVn10ViU5c5xMNyHdeunTFht9mNPKVSZP46/XXM7mggB/NnIlOkugOBGj2emn2emn0eIjLMmWpqf9lPqpavxM87SvF6u0fEPX28NixLB0+nLMdHZxqbyfXbtfW4U9av/4369Ouxt93PP0vlCzLe7gyMrjhE77m5yhWLgP//ghw2VMqy3IQuH3g3///udRwZovBgFGQ6u9+/32+OnkyXX4/yWYz22prefXkSc53djIkPb2fGW1imfR6THq9xgFLsVi40NPDT3ft4ivCXFY9Hc8sLsZsMDC5oEAbRWUO2HAzbDZ+PneupgxVVZAlKSksu+02frVnj8adWn7bbXT6/dwwZAjLz57lQFMTu+rr6fb76fT5yHM6OdDUxOC0NHbX1ysjzf+CWlBt8upcLiUjVpb58ezZ3Dh0KF8U/lb5DgfXlpeTa7cjo3imWQwGbQNXT+Rbamq0KLWBW+PLS5ZwXuTQqlXV3U1clrXw7xuGDEGv0/H5CROoyMjQxqyZSUksHTGC548e1V4rKH5aNS4XT2zezFXZ2WQL89yeQEDLk6wTAo54PI47FOJsRwcGvZ6JeXlUdXfTHQiwpqqK8rQ0IvE4VoOBQCTCoLQ0xfgzEECWZe56/30GpaTws7lz6fL7yUpK0tDLkpQUHh03TlPZDjzpv3HqFL5wmJKUFPyRCB0+H+FYjL8eOcJ1gwdT43KxdMSIfikZqmho3cWLvCSu6Y1Dh1LvdpNssWivS22iW8TBxnEFtd3C8nKePXiQBz/4gOW3335F7pvaFOysr++3eDtMpn4ohYqSq/fBt6ZN6+far44Ybxs+nKs+BsWYU1JCjt1OW18fP921C38koimW/1nV1tdHIBJhQVkZkiTx5KxZ3LRsGesuXKDT72f52bPcPnw4d48aRaFoNv906BCba2p4f+lSjatV09PDnw8f1sbfRx59FFAMr/906BDhWIzZJSXsbWzUUk4+zmoksRHzhcM8sWULRx59lDvFuqDX6VgwaJA2HnxFRNzdcAVKyafV9UOG8PrJk9qf06xWFpWX89bp08TicV676Sa+uHFjP79HUBqd52+4oV9KSGLNLS1lrsgl/qt4PkFp9kdnZ2M1GLA5nfzh2mspS0vjxnffZVVlJdD/wPfo2rUABGMx7TX85fBhnpw9G1mW+cWePaw6f541d93FkZYW2vr6iMsyb5w6RUVGBk6zmTOdnUTjcXSSxOsnT/LLPXv4zYIFfHHDBt6+5RamFhWxpaaGeYMGYdDp+MmuXUTicZ5esICKjAwmv/iiYlIei+EJBsl1OJiYn0+SycTZjg7MBgNmg4GT7e2sOn+ex0QEoVrPX389rX19DM/MpNHtpsblIslkYsPFi/xImL4vKi/np1c4jN8rmvVxeXm8ffo0gWiULJtNmxL5IhF84TAj/gfoVmNyc1kydCjbL13qt+aAgm47zWYi8TiBSIQvT5rEW6dOsV4cAgucTrLFetD+f0OTJ8vyZUQVYZnS/e+x5/99FREcBnUEoXLj3KEQj6xdS4rFovGm1FLd9/2RCN/bto3HJ0ygLDWVvxw5wp6GBh6fMIEGj4dILEaS0YhekvigqorPjh2L2WBgxblzZCUl8XVBQE1USw4cVYHiMVWckoLVYGBXfT1nOjrYXldHVXc3O0Tsli8S4U+HDrHqzjuxGAxkJiUp5pWyzLoLF4jE40TjcYZlZJDvdNLs8Wh+ZH9PBSIRzXpiZFYWaVYrv9u/n1g8ztenTMGk1zO5oIAUi0WzAfjz4cN8a9o0SlNStEZOHRXlORxsq63lu9u2aT9jQcJpFpQT7cBYLTWG6/6rrmLJ0KH9kJw5VzD5zLbbsRgMVPf0YNDp+PGsWdyyfDntPh+3Ll+OSa/noTFjtNd3dU6ONqZ0GI2kmM2caG8nzWrlpSVLuPnddxVCeihEOBbDH4lwbVkZZzs7WVxezovHj9PgdnOus5Oanh5qenr42pQpxGWZzKQkjKKZy7DZmD9oEE8vWNDPfmBHXR2uYJDjra0My8zkjZtvRpZlJojoL4Avb9pEKBrleGsrexsb2fnAA3T5/ay9cEEzTlZHZl7B81HTCtr6+sh1OKh1uTjW2kqpoBV4QyEu9fZqCSA2o5G7R43i+aNHef3kSX58hRivVq+XNKuVVKsVh8lEKBqlOxBgV309jW43hcnJHG5u5vPr1zO1sBBvKMTJ9nZmFBX1e6/UEc6VxldqGfV6lt12Gy8dP86v9uzBF4n04129euIEa6qq+O011/yPiTFUNE3lkOY7nRQ4nZzv6iIqnqff7d/PS8eP8/att5Jjt/OqaKqahcfcnw4d4mhr62WIqDcUYk1VFTLKyHFtVRVWoxGnycTVOTnsbWzk9ZMnL0PdrnQoS7x/YvE4BU6npsYGxVz5g8rKf8jiCBTrkO33349OkvBHImQlJdHl9/PW6dPcMmwYI7KycJhMeAf4p8Hf+GafVAVOJz+ePRub0ci3tmzhp7t38+1p07TD3qSCAox6PbOKi7V4QXUCoI7tR2dn0+h2c6SlhTE5OZp34sbqas1+5UBTEx9UVuISTZgsy1wthE/7Gxu57q23qMjIYMW5c7hDIT6/bh3tPh9/PHSI3lCIH+/cSbeY6HxUX09xSgqdPh9P7typ8JrF/SvLMn2RCA+JqUJbXx9mvV575l84dozS1NR+FJlU8fyAguarh4Wf7d6t/Zujra2su3CBa8vK+sX7eUIhkoxG2n0+/uPAAWaXlBAVwj01+9pqNP7D7/vH1YT8fD6oqmLZmTNazm0oGmXnpUsMy8jgp3Pn4gmF8IRCLCgr0wR2E/LytGf7/wokT5KkycCvUMQKPwXeADIAnSRJ98myvOmf/xL/Xf+ViolFeVVlJV+aOJGrsrO5f/VqFpWXE4vHCcZiZFit9AaDuAIBwrEYXX4/ZvFgReNxmr1eznV1EYhEeGztWk62t3O2s5Pbhg3jz4cOYTMauf299zDqdHT7/eTY7egkCW84zNzXX6fZ4yEmyxQlJ+MwmYjLMjajkTduvpnzXV0fm4mqxuvcl5JCl9/P9ro6DjY1afyVRrebBrebl44d4/MTJuAOBhVfqp4evOEwJr1eQ4vUrxlxhbGYWg1uNwadjmVnzlDX28u+xkZ+Mns2zV4vHT4fwzMzNQVd4uj1/aVLuWX5cg3C/48DBxQUR5aRUdALnSSRnZTEswcPkma1snTECG4cOvQTN3lQFrXzXV2k22zax6fV7665hgKHg211dYpwAbAaDIREg2bS67UGz6jXc+OQIay9cIHBoimSJIlYPE52UhJFyckcfvRR1lZV8di6dQSiUWKyzKjsbHxCKZuZlESL16txt2RZ5pkDB6jr7eX727eT73DQFw5rY7eBWZ6qR1p5Wpp2XSUR/fXdbds41NKieZItO3sWs8HAwx98wNnOTs4KJK8nENCavGaPh0u9vSwsK2NDdTUXuruxm0wsfe89QGmslp89y85LlzjU3MzGe+4hQ5ClPzt2LOsuXLgszeVoSwuZSUlsrq2lNxCgUFzXHqHiq+ru5nPr17Ny6VLeE6j1vsZGLvX2YtDpLlvoVcXqJ72fO+rqCMdiLBk6lKd27cIsYrKC4rqvqaqiwe1m56VL/7QmDxQ7l4s9PdiMRnzhsIKWRCL84qOPuCFBzHBAEO7Vpi+xYvE4c157DVDGgk1eLxaDgXSbDZvRyJ+vu47vb9/OG6dOUSKi2IYnoDF5DgdpVit94TCXenuZ/vLL/b5/SUpKP6TUHQrx7KFD3DB06D+ce6reRypHNsNmY8XSpdrhKtli+VjV5SdVOBaj0+fj+iFDNMV/TU8Pn1u3jqrubpYMHao1ND+ZPZtbli/HrNdrCKU7GEQGylNT2XXpEnqdDqvRqKUyJHr+PbZ2rYY+JZvN9AaDDElPp9njodHjQYeSGa6OzVvFc3+6o4NXT5wgFo9T1dWloaIyf3tO7WYzJUaj4peHcvAflpHBswcP8tqJE+h1Oq3JA0WBO6+09DIz4Aa3m6quLhaIBtBpNtMlxEvnOzv57Jo1/Hr+fO4Xwom4LDP3tddYMGgQuQ6H4t25YIG2hta6XLx9+jSfGT36ivy9/0rNKy3l+eRkNlRXM7VQ0Xv+as8eDjQ1oZMkGtxuPrtmDflOJx/ceSdHHn2U0+3tjMjKIhqL4Q2F/uGkjn9WfdpT8Cfgeyiq1O3AIlmWD0iSVAG8g8KN+3f9H1iHE0jIv9+/X0OVNlZXk+tw0OHzUZiczEWXi0g8DoJorxLDuwMB/JEIO+vqeP3ECXaJKLI6l4t9DQ3odToKnE68AuWxGgy4gkG+OmkS39y6lTSLBb1Oh1mSGJSayrzXX2dmcTFD0tJwWix/twgiw2ajwOlkjVjIeoNBwiLEfWttrRZZFpdlQtEoRp2OcCxGXyRCZlISuXY7KRZLP7XdwLpFhHAn1pM7d2r/H4hGicsyRp2uX65nssXC1IICNgovr0gsRofPR0CoXHWSpBHMT7W3449E+OzfYQvij0SYKzbGaYWFn/Kv/1Y5dju/mj+f986dY1xuLj/csQOb0UhYjFd+Pncuv9m3D4C3b7mF/U1NFDqdPDxmDH8+fJgcu53qnh4KxXhZJ0lclZOjITqgoAldfj/VLhelgj+nIr+9wSCvnDihCVUudHfT2tenNWQDf0e1qnt6+qGYC8rK2FVfr3mkybJMOBaj3efrl3lrEJuKLxIhFo/zUX09nlCIcXl5rLlwgf3CDgaU++NiT49mtQHwzS1bqO/tZcXSpWTYbIzJyWF1VRWPrV3LT+fOxWk2c9/q1TQIvmKqxcL0oiL2NDRQnJJCbzBIXJapEZmn2+vqiCUgn4FolC9t3MjK8+d5ackS7CYTXX4/Rr2ehW++yRs336yN8n3hMM8cPKjxPgEOP/IIUwoKONfVxV+OHGFvQwN94bA2GhzoBZlY4ViM3+/fzz0J49VPqka3G0mSLovd215biwz9bD7qenv7/ezfintKreGZmRQnJ7OxuppjCeINbyhEKBpFFk2Iqqi/ddgwvr11q2Y8rI54AT64805ACY5/QUR+Dc/M1NIXVMrCMwsXcqajg78cOaLFGc4pLf1Ui6SPqxavlxy7vV/T4DCZ2NvYyOQXX+TxCROuyPe7Uv3nkSO8fvIkq+64g8LkZCbk5XGyvV3j8iYKXJJMJt5fuhRZlrUDd43LRbMY9yZbLARjMY60tGhZuWtV7pgsawIju9FIrt3OwvJy8h0OIrEYvcEggUiEPvHsqakUsixT1d2tKPiFWXlbXx8FTie+cBiDyJQ26nQsLCtj6YgR3L96NZVdXbx95gyHmpu55HYTiES4qaKCL02cyM5Ll3j//HneO3dO4zvG4nH0Oh13rlhBOBZjbmkpgWiULr+fL02cyDVlZUx84QW84TCvCWRXkiQtv3ZLbS1pViuziov7HZIHpaZe0Ybnv1NGMa3ZcPEity5frnlhyigN+mfXKCFfiaI2dTLwYU0NTV4vLx0/TqvXy/DMTL48adI/3Vz84+rThBcGWZY3y7L8HtAmy/IBAFmWK//5L+3fpdbZjg72D8gC/LQaqKhsdLvpDQYJRaOEolEcZjNjBScoyWhERnnYVZsOfySCzWDgXFcX39iyhZ5AgJBonoLRqJaWkGw2o5ckZJRN95d79iDLMl2BAN5QiB4xPglEImypqeHHu3bx9N69Hxs8HY3HL1PWDs/MVMyT9XrKhHkyKBYMKsI2q7iY0tRUki0WTHo9eXY704uK8IbDrLzjjsv8yNT6pGzMqYWFLLvtNix6PZd6e6np6bnM7kFFp/ISRisNglQejEbxhsN8d+tWDjQ1/d0nu0TriopPSWJoGGC4KgkD61AsxoXubhaUlZFqseCLRBgsxlq3DhtGaWoqrYKntkiojw06HZF4vF/DpV63FJExvKi8nPK0NOqExUQkHmf52bPk2O1E4nFcwSCRWEzbyGXhkD/kj3/UBCAtXi8TX3hBa/RkWabV69VQRlBG3SoXNByLEY7FyLPbtfgrq8FAisVCHOXebvZ6eXrfPho9Ho3M/+zBgzx/7BgmvZ53b7tN+1q1znZ00BcOs0zY4bx+8iTVPT0cbmnhtuXL2dvQoDVy2UlJrLrjjn58wmSzmQKHg06fTzOGzXc68UUi2hjOF4mwv6mJY62t/OXwYV44epROnw9PKNRPnb3s7Nl+DZ763nYHAkwtLORMezvuUEhrtkx6Pfubmmh0u7nQ3c1N777LWZG8AYr6e8W5c/xwxw6mv/wyBwYQxhMrEouxsrKSCXl5/UZkOy5dQpIkokKtnm61UpqSQiQW43RHB4NSU/v5P6oN1+ySEm1s9sPt2wnHYnx72jS84TBxWSYaj3O2o4OLPT3IstzPoDixegIBfvHRRwQSguDvHjWK1266ibduuYV3br1VG+lOKyri+aNHtT//dPdupr38ssY9/Ueqxevlxnfe4SXRVKql8jmj8bgWbxX9hPVDLZWH+cMdO9hw8SJPL1jAzgce0O7/gRxVnSRxz8qVfGXTJgKRCJ9fvx5XMIgrGOT1m2/mtmHDuNTbS7ffz9zXXsMVDDK5oEDjMBp0OkwGA/WCM/vYunVsqq6mOxDAJe5nUNYKnSQpnFzRIDZ6PFR1dxOJxwmKBuySy0W7z4dep+OWYcMYl5dHRUYGFoNBE14Fo1EybTZeWbKEKYWFfGf6dI2mctvy5Ty9dy/TX3mFtVVVmtBj8dtv8574+gKnk3afj2y7HavBwLnOTlziQP+XhFzonkDgivFt/4wqdDrpC4dp7+vDHQrhDYdJs1ovE3YkUggAzX4lEIlwtLWVMx0d/7IGDz69yUu8gwd2GP/m5P0v1f2rV/MlkS4BipnxuU8wbe7w+filsPv4swilf/PUKVr7+uj0+Wj3+fjMqFG8d+4cesFBMeh0SJKEPxplRGam5pUGSsMXjcexiT9LkoQnFKLJ48ETDitjPnHy9EYi2kahbkhxWabG5aLa5VLUmh4PW+vqrqjMe/n4cU3ur35+RGYmLV4v1T09ioUFykLY6HbT5PFQkpLCCcF/2nrvvdxaUUG+00mh00llV5cWOzWwnj96lFmvvvqx13FUVhbZdjuS8HuKyTKPr1/PvsZGvr9tG1NfeomPGhq4YcgQnl20iNduuolYPI4sSeh1Okw6HU6zmaOtrYRFNmw4Frss4HttVVW/MZDa5N01cqSWHzmwwrEY/nCYu95/n+veeosO1dpj/XrePn2aQ83N+CMRJuXnYzebiaMIHPY+9BDfFtYOrX195Nrt5NjtTCkooMHtpkAYiaoLl7qx5TocPDhmDGaDgfK0NKLxOE6TiXAsRoffj4SyqIVjMWWUa7Nh0uuRhJ1Js9fLVzZuJBKLsb+xkQa3W/Pbq3W5WFNVxXOHD2sbUFZSEj+YOZN3b7uNiBCFBKJRcu12rhk0CIvBQG8gQJFIzIC/JbZsrK7GajDgDoU419HBz+bOvSyLMrHOd3VxsacHk7i/i1NS8IRCfGHDBnzhMA9dfTWv33wzE/Lz6RSG4U6zmdklJfxk9myCsRgrzp/nUm+vhoDkOxwMSknBbjTiDoVo8Xr56e7dtPl8Wl6remhbff685puXWC8K65Ax2dnU9fYSi8exG42kWCxaPN2+xkb+Y/9+zVxWLVVpeqajg2A0yvoLF9h48eJlSnBPKMT+piZaBK9WrSa3my6hDpckiXSrlT9ddx0WgwGzXq8lP6y84w6mFhYSl2W+P2MGBz/7WQqcTj6/fr3yXgs0dV9jo5bpKQMGvR6zwcC455+nakCzpP7/sjNnWFVZybIzZ7T3L9ls1hIlBg8QO1S7XFR1dzOvtJRoPE6ty8X9q1b93ek0aqlo8UcDLDQGbu73CQXrp9n96CSJcCymCQzmvPYaR1ta0EkSRoFG9yY8/xsvXqTF62VfYyPLz52jNxhEFs3xD7dvZ/nZs3jDYXoCAfrCYSTg2YUL0YumzaTXMzQ9naMtLfzx0CECkQivnTxJWKRTgKJ4VJG17KQkdPxNIa/+my4RWaau9zGRqvONDz/kUm8vJSkpWuJFdlISmUlJTBPj9GA0ytU5ORxva+NSby/Lz54lEovxdoLCt8vv51d792p2MiqXc1xuLjHhj9g6gD4Bf7/5865LlzReMyiHyfp/wPuxJCWFWDyuoaNZSUkkm81YDQbuGDGCH82aBXDZa6zr7aXQ6SQqDr0fJ8r536pPG9deJUmSB+WesIr/R/z5kx0Y/13/I6X6AfUJTgzAlzYqDjGJY43EUpVKgMahqna5NHPcZq+Xvxw5QpPHg07wsHSShNlgoCcQYHNNjYbUtfX1EUdZAHIcDmp6eogJLodRp6M0JYU2nw9/gpFtssWiNQlGnQ672dwPbYrG4xxrbaXs2Wf5/owZPJwwwlRHFzcvW8Y9o0bxtSlTGJubS58QiqinwPtGj+aNU6fwhsOc6+zEZjQyu6SEUdnZTCwo4PWTJ3nx2DGavV4eX7+eDz/zGaxGoyY4sRmNrDh3Tnudb95yC65AAL3wxjrS0sI9o0dj0Omo6+0lKhbE98+f72dJoqp9W7xeytLScAWDms1IVJYxyjKdfj8yihrw8fXrOdHWxso77qAoOZk6l4uf7NrFzOJi7h09mmGZmVT39KCTJL48aVI/ZEWtSCzGtW++ydC0NK1h/OH27QSiUc51drKltpaJeXk0ejzsrq+nU6hVnztyBFmW+cOiRcTFiKZMNEgPjhnD/qYmZOAvR45Q63Lx6wUL+p1AVdNYleheL+6fuCxzqKVFGwOBYsejJqhIkqRdx+eOHKHO5SIaj5MiOE7heByLQJBVk9ejLS1MKSzkaEsL9W63hvBaDQZuqqig0eMhFo8TEDYc2SJFRUJJIFDREaNeT0lKSj+PQ1AMVi8K66ADTU1sr6tDL0lIKOrWrbW12ohetceICHT0nlGjNPqDymPt8vsx6HTMKSnhoTFjNGR7c3U13962je9v24ZbNAOa2rq2lkGpqXx761aavV5+MXcub5z6mzOVSgNo9/kwipGZV+SxunbswKDTUdnVRa/4vomNQtsALmB3IMDXPvyQQDTK/ocf1pDnb27ezLHWVho8HvaI5tuo07H47bfpEk2o02QiMymJ4uRk9Dod7X19eMNhNly8SF8oxEcNDRQnJzM4PZ2eQIBvbdmCXpK40NNDNB4nw2bjo4YGrAaDJl4oT0ujqquLtr4+Hlyzhu5AgAKnkySjkZ2XLjEyK0tr7Cq7uvjG1Klc7Om5LCJKlmX+eOgQ2+vqiMbjpFutfH/mTDr8fi729BCOxajq6vpYtPBKpU5BBqIvj44bx6ziYmYWF7P47bfpCQSo7Opi+dmzn0jDONHWRo3LhV6ScAeDmPR6vrRxIykWi2ZofLi5WeOoHU8Y3x5ubiYoDMoj8TjbhSgjzWrVEOvR2dm8f/48WUlJzC4p4WJPD219fYTjcUySRGtfHzHRrKuojsNkwh+Nohf2THqdjng8ruX7qo2eTpKwGo0Eo1Fi8Xg/kcTiwYP50+HD+CORfpOSuCzzpY0b2V1ff9m4/OKAyL5ILEalx8Obp07xYU0NuXa7ImJqaeFidzf3rV5NLB7n3dtu4+EPPtAsqcKxGEadjk6/n801Ndw9alQ/oU44FuMbmzcDcOiRR9BJEr/Zt4/lZ8/y1+uvp9Pv51qhJP+4mlRQwNIRI/jFnj3Yhajws+PH8/kJE9BJkkZZaO3royQlhQNNTUzMz6fJ4+HOkSM50tLCuc5OPnOF/O3/zfo0de2VmfH/rv+1avZ4aBGk6EA0ytc2/Y0GGYpGr+gJlCjd3nDxIi3CQ6g4OZm63l4tN1NtEHyRiMKRMZnwi3ifjHgci1BLxWIxovE4siyjlySiCXD/kooK3jh5EgkIRiL9zHJ1kkSa1apxkeKyjEHkpjZ7PLSEQvxyzx4eHjsWWZb57Jo1mo8YKCOsW4YN47f79mHQ6XCYzdhNJkpTUnhwzBgybTbeOXtWG+WoiI46lgvGYugkiXafj4PNzcwqLmbua6+R73Sy6o47NPj9K5MmXTYWzXc4+PLGjbiCQYLRKGa9HpvRiE6SWFBWxpYBRsjvnDlDjt1OdyBAps1Gl99PjcvFazfdxGPr1gHKpq82sbcsW8ag1FSWDB2KLMscbW1ld309UwsLOdvZyRShthtYoWiUXfX1eEMhVldVkWu3Mzg9XUNxVMHM+upqDDodl3p7GZyezoXubvyRCMvOneMnc+bw6okTtHq93CJGomq8XCQWw2A29wtX/+LEiWQlJWmLqMpTOtvRgV6SMOj1RGIxIuJ6x2WZ7kCAyQUFnO/qwhsKMbu4mBqXiyd37EAHGjpn0OkoT0vTCNtvnTqFW4wy84SwQVu8JYlgLMYfDx0ClJFlg9vN0PR0vjN9Ov+xf7/CLwXt2l1bVsb9q1drthMLy8vZVF3Nc9ddR0Tw+H65Zw/1bje5djvlaWlagwfKGElNZalxufAEg+y8dInPjR+PWSi7h6Snc7qjA7Nez28GZCEXOJ18b/v2fs/k5Px8bh42jB9s385Tu3bRKXwJJxUUMF6MTPc1NvKmaPhUTmAiqV1NNzHodBqxPdF8tb2vj0n5+droaMelS5oa80+HDvGLefMAhdenIuZGnY5bli1TIujEdVSbgC6/n5/u3k15Whq+UIi4SBQ53taGXpK0keRPd+3iYk8POXa7slagNJiNbjdZSUlYhAUPskyWaMz9kQgZVisNbjfDMjL4ztatyLJMszAE3lZXx9CMDJ5dtOiy5+FwS0s/6xNVQDUpP59lZ84QjEap6+3Vmry4LPNBZSULy8s1Bf3AUq/T2Y4OznZ0aKKtAqE4Blh95530BoN8ccMGzWd0YDV5PGTabJqYJ0+oXXtDIQXp1+uxC4+8F44dY05pKQadjlPt7RQ4nTR5PGyrraXT58NpMqEzGLQRryp0G5Kezg9mzuR3+/ezpKKCH8+eza3LlnGmo0O7Z1IsFkKC8mDU6ciy2XCYzbR4vYRiMZxmM7l2O01eL+kWC9F4HIfJRLPXi16W+fOiRfxy714WlJVpvnugWNVsrK7WuH1q9QQCnGhrI8lopNPv5yuTJqGXJHIdjn6cWFCaMZ0ksam6msrubqLxOFfn5BCOxXh8wwZCsRhmvR5PMEh3IEC3348vEmHqSy/x+fHjqXe72XDxIqkWS79kkz+LNSIaj/PE5s38bO5cXjp+HLvJxENr1mAU+9BAR4PEisRinGxvZ0JeHj+eNYvMpKR+h4VcIVJq8Xo53tbGlzZu5LrBg/EJ3uz4vDx+vHMngQGTm//t+rRxbb+SJClfkqQi8fHfcxz8d31q7Wts1ILhzXo9kXi8X/zSh1dIXJBlmU6fj4qMDF6+8Ua+umkT4VgMCWXsGo7F+Ny4cYpDvyRR6HQqAcBiJJNpsynO4QIlQCXnolglOC0WrMIUd0pBAdvr6sh1OMiw2cgQZFhvOIzFYGBsTg65djtPTJ3Ko+PG4TSZKHA4FG8oo5G4LOMLh4nG47T7fJxsb+8Xep8nFoX1Fy+i1+m0yDKLwUCmzcaPZs/m7Vtu0VAbtcm7WZgDb7n3XganpdHs8fC5des0m4FGocz1h8PcXFFxWUB2XJb5jwMHONHWRn1vL7OKi1lSUcEfFi4kKymJLTU13JjgxRWXZWKyTE8gQFyW+czo0ZSlpVGSnKz5uekkCatoyHuDQVq8Xmp6evj+9u24gkFNdbevsRF3MPixyMCrJ07wvW3bCAm+nysY1Bb+9r4+LvX2YtLrtfccFNj9nlGjNFVo2bPP8t1t27AZjTwgFGyqp12OQHjUZAeAB66+musEbw+U5irVauWSyN20GY2ExGKdbrVi1utJtVhYOmIEo7OzMen15Doc6MXYqi8SQULh+UXjcXzhMBPz85mYn88zBw/yzMGDuAIB6nt7CYrfzSg8Cr2hEL3BoDK6NJmIyTKNHg83V1SQZDJxm0ieKElJoSI9nTE5Of28zX40axYb7rmHVKuVrKQkbh42jFuGDUMvhADXlZdrSE6a1crTCxZoG/vp9naavV5qXC5OJ1AAVIf7K6EC6jXOtdspdDq5tqyMX86frwmP/OKAlZWUxBc3bOArmzYxMT+fryQkNag5xQ4xKrIaDPjCYQ0tU99/VYSkKuWvyslh94MP8oOZM4kKBFxCoUSo49Zsu137erUxDkSjuAQq+N7tt2v2R5d6e3EHg7T5fBhE8/cTYXQOytqjrk+d6qgXBe3sDQbpDQTQSRJTCwuRJIlUi4VBqalEBIJUnpbG5IIC5X0Oh/GGw7R4vcgoJuI1AzitTR4Pj69fj81o1BSwBp2Ovx49yvoLF4jG4/SFw/2a3y01Nfz8o494LaExHFiJ4p6PMxC2GY3kORyUC1V/Xzjc7/VFYjFuevddvrBhA73BoHbYdZjNZNps1LvdCt9s8WK+OGECtS4XR1pa6PT5aPF6mVNSgizL1AphnD8aZXRWFoVOJ+VinQtGo0jAoJQU3AljQZV7q5ckUq1W2n0+ks1mLAYDXxg/ngybTVmfc3OJx+OEYzFtHQjGYtw4dCjfmDJFWVcFkmfS63n95EmNXtEXDjMpPx+TXo9ep+u3PqhTG72IRPza5Ml8ZfJkrhX3vE6S2HjPPfz1+uspT0vDpNMRVO9PSWJrba2yToTDyLKM1WDgiwL5LE5J4fH16wFl4rDi3DnlsDZgtL72wgVcgQAXe3rYXFvL/DfeoMnj4UJ3N3UuF/5IhH2NjZqQ70p1sLmZ6p4efjBzJjNLSi5Dg9MFJaXF69W8SdU0o6LkZDJsNkICSf5X1ic2eZIkfVeSpB8l/NV+YD2wGXjin/nC/l2KlYKKTKgjslAspm3IT+3axf4BxOK+cJgOn49mj0e70aOyjMNs5nRHB+0+HxWZmdhNJgw6HXGBzhU5nRoidnNFBZ5QCJ9oCu1GIwadDp0kYTMYGJyWhtVo1FSTnlAIm9GI3WRSsvuSksiz2ylOScFhNuMKBvnNggWUpaXxxLRpzCwu1pq8QDTKkZYWfrB9O/5IBFmWWSwWDKfZjFmodiOxGJ9JyH9V7VoSDWUzRZPpNJtZOmIEeQ6Hxp/q8Pm0BdsdCvHbffuodrn4w4ED2kk8Go+zurKSbbW17GloYGZxMaOzs3n+hht4ZckSFooINlCahedvuAFQNtWY4F+EYzHC0Siv33QT7lCIvx49SigaZXhGBrIs0+Hz0eHz4Q6F6BOWFMFoFHcwyIXubnzhMGNycjSlVmJFYjF+vXcvzR4PzQIdSLFYsBgMPLtoEfnCM0xV5an3DsC3p02jMDlZ44mEYjGKB+TDfvTgg8wUrv3+SKRfQP2h5uZ+i1VFejp5DgdFTidmg4FYPE6+w8GzCxdqfM5RWVk8s3Ahg1JTSbFYaBLIUzQeVzZ50RDm2O38+brrmFFUpI0023w+ql0uugIBUi0WvjF5MqOzs4kIXpBBp+NGYZPhNJvRSRJb7r2Xn86dy80C0ZAkiW0JyMP1Q4Zg0uvJsNl4YPVq1lZV0RcOs/L8eewmEzaTiclCzZxutbLi9tu5bvBgqnt66A0G+d727UTjcUx6PZVdXcTFJnzdkCE8cNVV/FKgYwPrq5MmEYrFGJ+Xx4qlS7V86G9Nm4bDbCbbbu8XwxSOxbT3JS7LNAsxicVgoCQlheKUFAJi1BYTUXOdfj9nOzvZXlenqVTzRbbxTRUVWlNZlpqKOxRi3muvUd3Tw+76eho9HoXrhnJAUxXio7Ozuba8nC9MnMgcoU4/39Wl/GydDncopFi7CKSi7Nlnqezu1tJQQrEYMmjilSSBsKuCmusGD+aeUaM0sZdRp+NAUxOfnzCBmyoqcJhMZCclUSGal4FpA7suXaIvHGZ6URE/nj2bVItF+17H2tqwisPHqfZ2Xj1xglpxqAJF6SvLMifa2i6LmmvyeJhVXMwNQ4awt7HxEzOqR2Rm0uB288iaNdyxYoXGJ1SR2xNtbfgiEY0WAfC58eM1q5rilBSmiHvuMytXcuvy5ciyzKySEmUtEc4HMVnmbGcndpOJv95wA3pBXfFHInxm1Srgbwi7yiM2CgQMFD5hXJZZOnIkg9PTCUQi9AaDjMjKwmY0sv7iRXSSRKffj8Nk4lhbGyMyMhiWkUFdby9ZNhvecJhWr5doPE6u3d5v0vDQmDG8dcstAJxMGDerllqguBGsvOMO1t99t5J2s24dfeEw0woLmZSfT3lqqnZQz0pKQkJxV8iw2bQDZbPHw/muLm2cXO92U93Tw58OHeJ7woc0EovhCYUoTE6mLDWVWpeLE21tmPV67UBe73bz4rFjzH/9dZ5MoDcllmordCWhR01PDxe6u8kWNlI1CZMPUFwIHl+/nlqXq986+q+oT0Pybgd+l/DnblmWRwEjgMX/tFf1//M629HB7e+9x6rKSiICkRkkHuB5paW8cMMNuINBovE474jG5WhLCyOee45H1q7VYl5+uns3QfH1dmGlgSzT6vHQ1tfH0PR0spKStJFPeVoaUwsLeW7xYo1Qa9Lr+eX8+Vw/eDBD0tLIFg93ls1GJBZTVFmBACUpKYpZrLArGZeXR08gQKHTSYPbjc1o5KMHH+ThMWP4/owZTBCnQG84zJ0rVnCirQ1XIIDFYOB7M2ZwbVkZvcEgh5qbicbjJJlMZCQlaQpgdUytongjP8YH76k5c7hHNIcNHg89gQA9wh5G/Xr1Yd556RI/271bMy3+zvTpvLxkiYbk2E0mHp8wAVC8q8pTU/n6lCk8OXOmNs4G2FpXx1U5OQSiUdyhEMFolONtbVzo6aFbNC1D0tPpEfFEyDItgjczJD2dHwpCb2LJsszXPvxQie3S67XXZNDp8EciTC0s1Maa6gJYnJzMHSNGcN3gwRSnpJBnt2PW6xWkVq/nfFdXv1OsSdjSqGP8F48dQxbv7+Pr13P/6tWA0gAebW3l3tGjeWbRIhxmM3qdjt9ecw2FyckUOJ08OWsWUwsLKRX37eaaGiJClAFwdXY2twwbRprVSk8gwKn29n5ZnQVOJ8MyMsi125k/aBA/nz+fqQUF5Dsc5NrtRONxugIB/rRoEU6zmakvvcSF7m6Mej3fnzmTCXl5JAnLC4NOxwd33qkRpc90dHCmo4Of7NqlcSp/NX8+0XicH+/cSY3LRUAoyN85fZo7V6zg9uXL8QSDWgN9rrOT10+eZOl773Ghu5s/L16sGcMOrHfPniXDZuNcZycTX3hBG20uHTGC+666CqfZzMtLlmj/XkWEvj5lCteUlRGIRhmanq69v8XCqy8gFNy+cJgUs5lal4ub3n1XQxOmFRVp92SKxcLk/HyMer2G6s97/XXCsRjpNht5DgffnjaNUDSKRa9HJ0larqhOkvj29Ok8vWABM8QhQK/TaYhSn1DNtvt8JBmNPHDVVVoTqpMk+sJhzR9zTkkJ15SV8cpNN5Frt2tq+VFZWQSiUUKxGKsrK6nq6mJ0djYGnY6q7m6KkpMvi1b706FDNHo8vH/uHP955Ag5druWDKLy2NT7+AsbNvCooE0AGld36Xvv8TXRFIPCsa11uch3OhmakYEnFNJQzYGVeGhTx+Lqe5votxiNx5laWMgXJkzgmrIy7ho5UmuEG91uspOSGJyWRmtfH0dbWwlEoyw7c0ZboywGAw6BpqVZrYzNzcUk6CODE4ygVcpJh0DursrOZkRWFnePGsWMoiIkYGttLa/edNMVPQTVQ35NTw9nOzp4Yto0RmZlcaajA1cwSJLRiCRJlKakKA28LPPr+fN5aMwYSlJSKExOxm4y8bv9+/t93/a+Pn63bx9VXV3k2u1kJiVR19uLLMtUdnVxuKWFXZcuYdTrqe/tJSK8OnWSpKXfGHQ6IrEYBU4nyWYzpSkpxGSZQqcTu3CHeObgQXqDwX7UiEQv1kGpqUwQ+c+J1IcttbWasCQuy9p1X3HuHI0ejzaNUWtfYyPXvPkmN7z9NjpJYm9DA8vPnmVoRgbJFgtDMzJo7+tDJ+7/f7Up8qeOa2VZTnyFz4i/iwFX9qT4d/2362R7uwb/qp5w14vxYFFyMv955AjJFgtjcnI05ebPP/qIWpeL1ZWVxONxzYgYFAg8IGwdYrLMRw0NtPX1kS2ik6xGIxaDQRuTmPR6UiwWdJJEisXCbcOH89att/LXG27gejHavKa8XBEO9PYSisW4d/Rors7JYXR2Nq/edBP3XXWV4lJuMnGgqYn63l6sRiP/ceAAC996i2phnxAX9hktXi+ecFhBd0S2ZLPXy5GWFsyCPH+8tZU5paX0hkL91JLb779fQ9UG1nWDB/PDWbOIyzJ94TD1bjehaFTb2CwGA65AgJNtbf0sLFTEZ2B9VF9Pg9vNvNdf50ubNnH78OFsqqkhJhBRk9ggO30+zS9OEuIDvbied44cyefHjycjKYkkoxGDesKMx/FHIqw8f/4y9KDd52NVZSUyaCHg6vi3w+ejra9PQ+7SLBZmFRfz3u2388S0aTw1Zw46SWJOaan2WtJE9NfBpiZkWeZsRweTXnyRrkCADp+PUDTKyvPnOdXernGeomIRPNLSQjgWY05pKQsGDdIWTKvRSF1vL5KkZOxKQswDSqNgN5lAljHq9ex84AGemjOHA5/9LEkmkyImCASwGgwUC/NsUMLkX1myhLgsc7Kjg8+MHs23pk1Dr9NxvLWVHmHk3SQ2bbUkQUUAuCo7m3ynU2uSEhNd/nDgADajkTtGjMBhMmk80qykJG5etkzbsDp8PoKxGKOys5lbWsrmmhq21tYCStboJ5XK5VR//hc3bNA8LNv7+shKSmJsbi5v33or8Ld827tHjSIWjxOTZW4cOpS5paXcPWoUnxs/nimFhZgNBiLxOKlWK0ZhAB4Tzdb1Q4awqbqacc8/z466OvY3NTGtqIh0MUKKxOO0er0YE+6j6wYPpig5WTErtlr7oU8ZNhtzS0v51fz5DE1PRy+QIqNOh8Vg0A4L04qKMAu0f57gmKWYzaxYupTJBQX85ppr2HnpEg+uXs3LJ07w8927aff52N/YqPkLVnZ1ca6zk+9Mn87Y3FwCkQiHmpvZVV+v0RpAadbV9/5QczOfGz+eGwTHNRSNkutwKMboquVSdzfuUIixubmsu3CBt06fptnrZd2FC9z9/vs0ut1aznZJSoqGKg0cE6vlCgZZdvasovwWjYG6bqtNni8SId/hoCIjgwfHjOEX8+aRbLFwtzh47m1sRJIknlu8mBSLRVOib6mt1RryXIcDk8FAktHI1Tk5Cv1BHHQSRRppVivhWIyDzc08NGYM+x5+mN0PPsgLN9xAaUoKWUlJrDx/nj8cOKAhxV+eNElr5ueINKJznZ209fVxpLWVEZmZnGhrIxyLMUVwUyNixOsKBpk3aJB28LUZjTyzcKH2etTrd7qjg3fOnOGelSu55s03efPUKc53dtLgdhOJx+mLRGgT66VaMVnxbdWJsX5EIOhPTJtGVlISCwYN4sYhQ0gyGnly9mzNwHrGK69w/+rVdPv9tHq9zCstZUhaGsXJyay84w6+N2MGQ9LSNGRT3c/mvvYac157jYkvvMDsV19l/cWLrL94kb5wmK8IHnxUcNMvCE9BvzCIP9bWRjQeZ1RWFhvuvpvnr7+en+7apQkb/xFF7z+jPo1XZ5ckySjLcgRAluVXASRJMgPOT/rCf9d/rf565Ag7Ll1CJ0n8ZfFintq1iySjkc+MHs1rJ09S19vLgaYmjZMUikZZdf48lV1dCuonSZiEHUpUkFadJhOuUAiEwuqCIEY39PYSjsUoSUmhpqeHi93d6HU6Vp4/T5PYADKsVlaeP8/jEyYwMT+fq3NyKE9LoyI9nUPNzQxKSUFGiak51NzMFyZMQJIkJuXnA8JrC8UQdFhmpra5gcJpaPZ6iQhOXqmwnHjwgw/YWVdHdyBAJB7n9uHDyUpK0lBLo05HdU+PBqN/muGpKtrwCruBUCxGo8fDjKIiqnt66PL7+f727URiMewmE55QiJKUFHSShCsQINliUUxcgQPNzdoYe21VFUXV1SSZTEgothBpQi234tw5ZRSu02n2BDkOB89ffz2zhcXD7/bvp0+okmVBZN/X1MS5zk6mFhZS6HRqvI8Xjh6lNxgkw2rlm1OnUpaaSlV3NzajkT8dOsSSd9/VFNJPzZnTjyOj1mfHjmXjxYt0BwKkWa10+v187cMPmVtaqhGq3cEgxSkpDE1Pp9blYtmZM2xJGHnW9PRoStURmZkY9Xr+dN11fG7dOtr6+lhx7hwOs1mLL1J/7ovHjjFFGEeb9Hpa+/rYeekSo7KySLVY+O2+fZjFOBIUDuFXJk/+W2MmEk+mFhYyr7SUheXl3LJsGS8fP679m0g8jjsYJFm8ByrheZpAn1SO2MXubvKdTr49bZp2cDAbDHxx4kR+8dFHV/RUVKPybh0+HJvBwPa6Oi1z9UBTk7ZpX6kSjZ9tRiNNHg9P793L0hEjaOvr00Z3qhFxl9/PcYHoHG5pwWowMDIri+uHDOH9c+fYUVfHkLQ0ttTUoJckLcZOEt9DtfT43rZteEIhfrNvH/VuN/P1ek15rGaYGnQ6Hh03jnAsxg937FCMuEtLqcjI6Mc7VUsV4KgcOKNez9jcXLKSkviwpoan58/nBzt2MLO4mGcXLeJbW7YwJienn/n5rgResToqVW04ZGG3pE4EkoxGNotDVFV3N1/fvJkfzZzJXStW0BeJaAeMTp+PmyoqSLdaubmighePH+eOESP4k8+HxWCgxeulta+PdJuNqu5uesUkRE2DudDdzX2rViHLMt+fOZMbhgzRELy63l4miPVMrd319VoWrc1gwC/utfNdXcwqKeFbW7YolkLxOCMzMzVDYLU+N348b58+zXOHD3N1Tg5JAqmLybLW7PQGg+gkiQl5eQSiURrdbpaI92RqQQHvnz+PJxZjckEBXxNZ4UdaWvCEQixKoJaAIibJdzgIRKNanvjP5s5lYXk5OXY7x9va+Oa0adR7PISiUfrCYXZdusT9CYbPT82Zw7a6OvIcDnqDQS3qL7Guysnh0COPsLqyksFpaTz4wQf9/Bs7+vr49tatlKel4RV87GSzGV8kwhAhoHp8/XrMej3ZSUl0BwLUiX3KpNdzc0UFb50+zcHmZk62tSFJErNLSihKTuaOFSsIRiK4g0E6/H5KkpOZP2gQx9vamF5URFFyMkXJyeglia9++CF5DgcPXH21lqXuF9QZbyjE5xLEcgCrzp/nax9+qPnJxmSZuLDpAaXhH5+Xh9lgwCjLbKqpISzQzkSO57+iPq3JWwH8VZKkL8qy7AeQJCkJJQljxT/7xf3/rbr8fs3VPU0Q25u9Xh4bN45ILKZI5c+dI8Vi4WJPD7W9veiAL2/cqJBUES7mgsjd7vMxSsDt8YSTUYvXS7LZjEmvpy8cZqQwG44DyIopbDASIclkYm5pKS8fP87E/HzG5+Vh0uv5zOjRtHi9+MNh/NEoqRYL396yhUaPR+PIZSYl8ZPZs3ly5050ksSLx49r+bFTCgp4cvZsnj96lB/u2KEoGWWZq7OzOdvZyen2dpxmMy3CpuX5G25ge10d+xob0et0xMTD9feaYh5rbSU7KYknpkzh9ZMnOdvZSSAS4VR7O4FIhOOtrTS43cRkmWSzGXcoxNCMDNZduMCPd+4kw2bTeFJJRiM5djtLKir4/f79hMSJ1qTXMzIzUyML/27/fnSSpJGcjTod9W63Fi9W53Jh0esV8rRozlSOZG8oxBNbttAnRAY6nU47bd89ahSPjhsHwLxBg2jr6+NPhw4Ri8d5bNw4HhGfu1KVpKSw44EHsOj1PLRmDT0CtVMbvBSLhcLkZIw6Hbl2OzaDQeMk/WLePL67dSuvnTypjR9UdeLM4mIybDaeO3wYgIkDNsTPjR/P9UOGMPOVV7R7dN2FCxpC+M0pU3h8wwacQljw+fHjufeqq/pZImyprcVuMjGzuBhJNBk/mzuXH2zfTlhsiuFYjHq3m9Giybu2rIznjx7lpooKIrEYty5fTjQep8PnY05JCVMLC7XIIoBbhg2jpqdHM3hNrMFpafgjERaVl5Nhs1HjctHe10e9yBL1RyL9eHWJ1S6QuafmzOHNU6c0Dqgsy5zr6tI4qMkiJabT59Purd5AALPBoKEiv0ywgilPS6OyqwtvOEyh04lZr+dX8+axsbqafY2N9Pj9hONx7dCoRlWlWiyaMbHDZOL6IUO4+/33AeUAlGW38/2PSRDQSRIfPfggHT4fa6qqONbayumODganpeE0m/nixo10+/1a7NnTCxZc9j26EjhKBp2OwWlpWvyg+oyp7/3IrCzCsRhBkTqz4tw5PMGgxs9TlcVdgQAXu7vx2O28dfo03YEA04uKePPUKQVJEVMDCfCFQsjA0IwMTre3E5dlSlJS2N/URKbNxpKhQ9HrdJrX48CoO1AOcSpH9fYRI1h34QJX5+QotjgpKdp6UpaaypTCwssiHG1GI7kOB61eL4+uXcsPZs4kEouRabMRE2iRPxLBbDDw+QkTmFpYSK3LpYkrRmRlsbWujra+Po61tvLjnTtp7evjXmHXkbg2qujo/EGDONjcrJnNjxOZu9eUlTEyK4s8h4MlQ4fy1qlTWvOm1+n48ezZOM1mrsrJ4VvTpmnWPjsuXeJUezsjs7L6cYh1ksQtw4Zp1/Xl48eRUQ4EDpOJkM/HkZYWTXyjxl52+f2Mz8vj+Rtu4I1TpzjR1kZfW5tiRxWPM62wEIfZzO3Dh/Pnw4eJxGJYDAZy7XYqMjIYmZmp8UkRP29EVhab772337WfUVxMutXKpPz8yzLN2/r6tK83SBIl4vM/2bVL49Y5E7xDdZLERNGEq6Pgsx0dBKJRMmw2XIHAZXy9/+36tHHtD4EOoEGSpKOSJB0FLgHt4nP/rv/BSnRnj8syT+/bx/SiIv569Chf3rgRkyTR6PFQ63LhMJnwhcP0hcN0iTQKk15PPB4nJjYyo2iIcux2dCgLaobNRjAa1WJ1rEYjm2trsRuNSCgLwvqLFwkL/sNP584F4HPr1vGjHTuIxeO8ffo0K8+fx2E2k2axEIvHafJ66QuHNc4SwOIhQ8hzODAK3phqGnnP6NFk2GxMLypSLDjE6Keqp4cGj4dANEq5GAmpm8eSoUP59fz5vL90KTaj8R/KBTzV3o5Oknh0/HiOPPYYTy9YgF6nUyB+SWJzba22IOc5HJSkpNDW18ePRbRZl9+PJxTSDItTLRY2XrxIthB6RONxjHo935w6FZvJRK7DQZPHQ67dzrb77uOmoUO1Eeu3t21TvNZWrqRZRJ8ZdToeuvpq7dSYZrVyqLmZLr+ftr4+WrxettXWkmQ0al51aqmvAfi7vMCcZjOhWIw9DQ20eL08s2gROklielERg9PTMev1TC0sZG9jIx81NHC0tRUJFDpAb69mATOQf6aiVfMHDeLn4p5p9nhoFKfYC93dCqcHpZlM9IPLstsJxWJ0+v3KtRgz5rJNsU5scIl/v7C8nCdnzdLQnEgs1u/U/NmxY/nowQdp8nj40saNtIgs4k+6Vo+NH88fFi7sF3pvMxqZWlhInsNBodNJisXCL+bN46UlS/j9tdcSjsX4q/Cd/PaWLZc54Lf5fMwsLua6wYOZl5Df+9Lx45xqb9fsStRDQaffj16nwx8O0+H3YzEY+iVLgIKcp1os2sEgWQg4LvT0ML2oiFPt7QSF8CEsxkwtXi9Jght7+7BhWAwGki0WviWySWVZJiCiDH8oBApXKqvRSHFKCl+aNElDSd85c4Ys4bEGaIjTlaqut1dB3Ww2JgieYJm43rNLSrAZjRj1et4+fZpZr75KVKxpcaHE3lpXp9k4FTgcPDJmDGkWC51+P0vfe0+LIUw2m5mYn4/JYEASJsxlaWmEYjEybDYGp6VhE1SVOpcLbyiEXpK0xlGSJPKdzsuavFg83i+KbE5JCWlWK+Nyc6nt6eFrH35IJB7XDksqojOw1t51l3bI+N62bbiCQXKEYE2N0LIbjUzKz8eg0/Uz1R2emYlRJNSY9HpOtrdT43LxHwcOkG23a+I8UMavaozYh5/5DEtHjGDpiBGaUA3+ltjzpYkTSbVaNYFPnculHNDEKLc8LU27n149cYLf7d/Plzdtusxw+lhrK9F4nCdnzcIVDGrPNqAl4ZgEDQfgxqFD8UcidPh8jM3NpdXrZXBaGiUpKfjCYUw6HQ0eD6+fPMmfDh3iQnc3feEwc0tKtMzkX82fr+R8W60UOBz8x7XXar9XYpn0eq7OyeFMZyeSJPHYuHE8MXUqP5k9m5KUFKyCPvPQmDHaODcQiWAxGJRJTzhMvqD6HHrkEf68eDHReFxzhlCV26ki9vK24cM/MVnpn12f2OTJshyTZfk7QCHwgPgokmX5O7Is/2vNX/4fLDXFIhCNcqCpCV84rNkXHG5p4aRA5KJxJR9TRedMer0GI9tNJuwmk8aV8YRCTMjPJ9/pxKDTYUhQ7fmEgrI3ECDX4WB6URFGsWnEgZuGDu03Ct1w8SJvnT7N7/bv572zZ5WGKDUVqxB1SNDPdR+UJkRFr3pDIaLxuLZhjc/Lwym87/SSRFw8CJd6e6ns7KQkJQW7+PmSJDFv0CAKnE5GZ2dzpKWFyN8hTz/X2cnLx49TKLhGAF+aNInuJ57g8QkTNHNou8nESzfeyC/mzdM4SqAsPrcMG8aSoUO1BUNNEVENSWXQVKIScG15uTYOsxmNROJxytPTubasjCaPhx9u304sHicai1GWlkZ5WhrXlJWx+4EHeOGGGxiSlkYkFqPJ49FGj8FYjJnFxZd55yWqY9UFs7Kriy9v3NiPe5ZYm6qricbjXOzp4b6VKyl0OrmmrIxT7e0UOp2K4lDwA8OxGKFYTMmwFGrVouRkjYcDCtk8x27nm1On8qv58+ny+znb0cGit95i+HPPcVGMx8wGA0/Nnq3ZQ6ilNhnlqalME/YaA6vB47ns1A3KQeKRcePITkoiLBoZtVQj1+9s3arx5n53zTXcVFHBXR+TJOI0m5leVMSj48YRisV4ZckStt53H8fa2rg6J+cyX8rR2dmMys6msquLn+/ezba6Ok60tdHodtPl9yPLMi1er3bPPzhmjGYl8fIVov0ybTYtvaRX+AgmGY04zWYNTX503DhW3XEHSyoqNC5Sh9/PrOJiDjY3s7mmhk7hS+kwmdCJayFJErl2OwVOJw+MGUOe4HWpYgFJknAIhfzG6up+KSwfV3eNHElY8MgOizzVF2+8UYvYGlihaBRXIECew8Hau+7ir9dfr2UCv3DDDfxy3jyeXbSIdKuVPxw4oCF4RmEhFRPcWlDsYBxmM0lmM55wmPUXLtDi8dDq9Wpj31/Om8dV2dnYTSYyBDLnj0Ro7+vjSEsLueJQ1xeJoNfpNCqGWnl2u3Z91Drf2anZycDfPCaLU1LoCQSod7uRUBonbzjM9rq6K6ZidPh8fFekz6hcQ3Xs+vnx48lzOPjSpElX9EKdN2gQJoMBi17P6Oxs7WDhFk4Huy5d4kRbG1tqarTnS0X3vjVtGt+aNu2K7496IL65ooLBaWmKkjXhWS1JSdHAAICxOTm0eb39vAKbPR4eXbuWr23ahFnYJ5WmpGATAomQEOwli9SY64cM0Q4LzR4PYXFYG56ZiU6SGJKezufGj6fR7ebZgweV2DadjmA0yubaWt46fZrqnh7mlJYyrbAQfyRCitWqfc8r1dD0dOpcLkLRKI+MG0ez16vFHN5UUUF2UhIfNTTw1unTCsczFiPdaqXQ6WRkVhbfmT5d4YN6PNr7/6MdOzje2sqH1dXYjEaSTCY6/H7G5eb+nxtrJknSdABZlgOyLJ8WH4GEzzslSbryavnv+ofqXGcnK86dI8/hoMvvJxKP0xsMaoaogEb0jiTEA+lAU+CqGZ9ZNhtWg4FvTp2Kw2zWIGdZlpUYMvH9zEJsEREbfqrF0s/YcoyA8x+fMIFswRv61pYtilO9z8fIrCxWLl3KY+PGMbu4mGy7nWcPHux3ys2229GLEy0oqjeVg6SOtyRJ0sw61VJTKR4U/k2JNT4vj1qXi1/t2cM9K1fy9N69/XgfavkjEc2I+PYBTvkmAfOryOOE3Fwm5OdzTVmZ1iz9/tpr+dGsWXxvxgx+OGsWL954I2vuukszxwUFSTDr9Xxp0iStCTza0qJYRwQC3P3+++xpaKAiPV3jya27eBG9JFGWns6PZs2iwOlkx6VLnO/qYmh6Og+PHYskKXnAPYEA2UlJlKemMkucphN/vwvd3Tw1Zw6DBAoJipJ1X2OjxjUZWA0JkXFtPh9nOzv50Y4dhKJRTnd04AuHcQeDWlbq+a4uXIEASSLGzKDT0er1cu+qVdy/ahU3vfsubX19mPR6JUpq9WruX71as8546fhxOnw+dJLE5MJCzeV/TkmJpngtFIeQ6iuMNjp9PlyBgMYDSyydJPHFiRMZm5uL/mOUbOommWO3M6ukhB/MnPmxRrhqTS4owCzG2qFolFqXSxuZD6xCp5Nmr5d2n49uv5+eQIBFb73F4rffxiVC4fPFe6OTJO4eNYq+cFizIEpEQQalpnKouZlwLEaa8K1UG8SzHR1aBBQo6twKoUDOtduZXVJCe18fJ9rbFY6oQO5VpXJFRgZGvR6r8JUzCpsTULKfR2dno9fpNNTmfMIBqicQuGKUYpIY9zpNJqURi8U+McZJVT5mJyVpHmtD09PZXV+vUAX0eoZmZDBUWA5F4nFKUlL4+uTJWo6uqv5WbVpUodLmmho6/H6igjNV09NDus3GA1dfjTcUYmRmJu5gEI+IyGv3+ciw2TRRjFmvJyRSY9QqTknRPO0APqis5NvbttEdCGA1GvnDwoUUJicjyzKvnjhBus1GTFZM3xOnGs0D0MBwNMq8119nzmuv8ZlRo/CFw0RiMSbk57P9/vu5cehQspOStPdiYOkkSfE0NRi4dfhwIurERojsvrF5M59ds4bvbttGj/AnVJ+7jytPKKQ5C9x31VWMz8ujra9PM4eGvx0kpxcVkW61cqilhQaPp5/yWb1+B5ub+cWePTSI6xeNxzUHBb1OR1ZSEr+cN48fz56t3eNNHo8m9BiXm8vrN9/MT+fO5SdigpGZlMTXp0zh6pwcvOGwNtZX+bGq52lpSspl04DEGpKerlkg7air420BXjR6POysr9dEdzFZ5pLbTarVyrDMTP6yeDGvLlnCbGEptKm6WkN+AR5es4a63l7Mgj8Iip/fv67F+3RO3q2SJD0NbAKOAp0ocWblwBygGPjGP/UV/v+kVp4/T5ffz5icHDyhkHbyeV8Q+BM9z+KSkiqQZrViNxq1h1BGIYi3CnXknoYG3KEQqyortYgp9cSnErUlFN6FxWDgWGsrJSkpZNhsHGhuxhsK0d7Xx/SiIkx6Pafb23nh2DFklIfRJh7WR8aNY1tdHaOysmjyePjsmjU8t3gxE/PzuSo7mx11daRZrciyzE0VFdpYUkUaQoJzc215OY1uN51+PwVOJ/eOHs0NVxj7qFYBHwj7i+Vnz7L87FkOP/JIvxPTi8eOEYhEmF1SchnxGRRuhvrvyxLGc3++7jr2NjYyLYGvBQrpXK3nFi+mxevlu9u2KRwxh4PS1FSKU1JYd+ECNqORBWVlVIkT7tCMDK4tK+PLGzcSk2XcoRDJFgvFycnMLS3lnTNn2FVfT7tQO6vRaFajkbklJZgMBi32SK2f7NzJtro6tt9/fz+hhToiHYhAqNXk8ZBiteKPRgkLEcqwjAwtkUSSlHgvVREsoyAEv1mwgM+uXcvu+noeEf9VFdzlqalc6u3ldHu7RpJWG4gjLS3YjEbSrFa+ummTQi3QKWHnUwoLGZKeji8cpsbl4mnhA6jaqciyzK/27MGo1zP9E07m+Q4HRz+myVO95n46YNT9cdUTCHDNG29oP3/Oa68BXJaKkvizN1y8qHjM+f3cu2oVwWiUdKuV2a++ikmv72cPo/L7dJJEdlISOy5d4rqmJiYVFHB1Tg5rqqq0GKnfLFjAwvJyLnZ388jatQAME6+jwOlk94MP8vbp0/x+/37NeDogUCmDTqeoCONxvOJ+U1Mj8h0ODDodi8rKuE6M4764YQOjs7P58ezZzH3tNZadOcOF7m7qe3u1Z2393XcTjEYpTknhucOHmZifz/G2NqYUFrK7vp50q5VgNPqx/ETVrkg96IGCbj6yZg1f27SJ3117LV/ZtEkZn4qxWFtfn0b7UO8pCbRYL9X8uzsQQEahA8iyzF+PHsUTCnHv6NGKabbbjdNiUfiv0SjJZjMtHg/t4gASi8fxSBLHWls11Gt8Xh5vnz7Nu2fOMCg1lad27dIyeE16PR9UVioCl3CY9cK6xiiufWlqqvb7tnq9DM/MZHNNDb/dt4+bKyqodbmQZZkf79qFLNbCZw8epNPv1xSZalOlTkMS186eQAC9JGlNb5LRyNcnT9Zeh1qPjhv3d/GXVRBhUGoqRkHbAMWv9X5x2M6x2zGLvQKUfUQvSeyqr+cewQdMPBzsEDFsDpOJYZmZnGxv555Ro/igqoqlI0Zok4kq4X239sIFDSQYl5eHzWhkuKBWbL3vPpLEKN8dDOISwhRJkqjs6uLGoUOZWVxMksn0sc+qWoXJycRkmad27eJwSwvJFgvuUAidJNHW10eHz0dpaiopZjOtXi8Bm43y1NR+Apy5paU8f/QoBp2OX8+fz7e3blX8F1H21JsqKnj79GkeF2LEf1V92rj2ayh+eK0onnk/Bb4ODAb+KsvyTFmWD//TX+X/w3WmvZ0nNm9mxblz9IXDvHHqlOZbd6G7m2qXi4s9PXjEzWMVJH5VjaYmI+jExhwX9gHhWIwPa2po8Xrp9vtJs1pJs1oxCkVdstmsfc9ks5mgcLm/cehQhSSr0+EJh7n9vfe4+/33+cOBA7QJzyJQFlj1VK5GEI1K8KpbL1Ck20eM4J3bbqMnEKDT79ci2t46dYqJL7xAmtXKL+fNw2Iw8FFDA9+ePp19Dz/M8ttvv2KDB/TjSyUuXs8dPsz6Cxd4fP163MEgm2tqGJSayg8/hkSeZrWy/p57FA5HwiacbbcrKQi6j388Jubns3jwYIVgHY/zzMGDbKquxmYwEIhGSbNauXnYMA19mz9oEOk2G8MzMzUkJhyLkZWUxNHWVi52dxMSvnqq4agOZQz8u2uv5XszZmjke7XUBvLFY8d4YvNmDRGqF03eqfZ27YSrlsrHvK68nPZvfpPi5GSSjEZC0Sg1LhdGce+lWq3YhMgkw2pFr9PR6PFgEuP8yq4uYrISlTcoNZUcETC+ubaWReXlvL90qWbHcbK9nS21tRqZ26zX8+fFi5lSWEgkFuPD6mpKU1M1RfZfjhzRvN6aPB521dfz2TFjKB3w+ydWgdNJIBLh3TNnONTcTE1PD++fO8eZjg42VVdj0Ov54Y4dbL5CSkxitff1aejvwBr+MTy+YrERq0kZ6kGqOxDQzJ1Vv0CAPx8+rDV4j44bR7rNxp+FaEW9n3sCAZxmM/MGDcJqNPZL2Bh4H6jPQ4vXy+ySEq0JSbNaFRW+4OvteeghbeM2i9SZktRUFpaXYzMaaevroyg5GafZjNNs5qOGBp49eFBr8ABueOcdbl2+nDdPneLl48f53Lp1dPp83DpsmDaKff7oUWRZZkddnaY+VKvJ48EfifDDHTv4ysaN+CMRxubmUpSczOqqKu5+/31ahWl2odPJ2NxcegIB/nz4sDYNkEHjdgYiEWUdk2WNMG81GEg2m3EFAnxQVYVJJOQEolHNcifDZsOg02kc1UA0ShzlmfzB9u3sb2xk5fnzvHTsGJFYjP88coT7Vq2iTaB/Jp2OYRkZ7Lh0qV8MXFwIPMwGA6/ddJN2sFCRvD8cOEBPIKDc37KMVeQRB0RjfL6rS2vwHhk7ljMiWm3mK6/wtQ8/5HR7O9e88QYTX3gBXyRCssXCwaYmcu12nl6woF8OuFqfHTv2MjHUlWpvQwM5djtv3HwzgBb7tVk0f6DsMwNpExaDQUOlQUHVKjIyWH777QzPyMCs1yMJ6opZr2f+oEFsuOcebTTd4HbzxJYt9AYC2r4BXHZQSLFYNMP5bEE1uLmigqHp6aw8f54WrxeLwcAXJ0xgV339x/K2YyI1qdblYs2FC7T29ZGdlKSBKarVWF84TJmwW2n0eNgn7KbU9/ne0aOpd7v5ztatbKiuxhUI0C3yntfceSeDUlPZ+cADGq/vX1WfGk0my7ILeEF8/Lv+B2vea69pJx2dQE3iskyKxUJ1T4+WbWgQpxWTXs/gtDQu9vQwIS+PvnCYt8+cwWowkGK14g2FlA1b8KhC0ShJJhP5TqdG3t5aW4tDuNubxHjltuHDWVtVhTccZot4oC3CJiLR/uGgCLCfWljI8IwMjrS2UutyKYqkSITR2dksGjyYFefOsbexkVg8jl6n00apNqOR7XV1fGH9es6IRUGSlJijNKuVqq4ubnr3XV6/+eZ+6RIDKz1Btv/YuHGMy8vjc+vWaepBgLdOn6bd5+ORsWM1XtuVakRmJllJSSw7e5avTJ78iRD/wDre1qZ4k8XjGPR6znR0EInHmVJQwPdmzGBGURE3DBlCOBbTOErLbruNF48d4/cHDpDncPCTnTu52N2teRPWulzaJjEsI4OLPT1UdXfz+Pr1XD9kCD+ePVv7+TmCL/T26dOAwhU62d5OrcuFzWjEH4nw50OH+KPgEAKsrqzEEwoxt7QUk17P92bM4HvbthGOxUgRKMeUggL2NDQwLjeXifn5HGttpdHjYU1VFSOzsmgSdhSgIMexeJxUi4WVlZXk2u2MERuzLMuUpqRQ1d2NPxxmfF6ext252N3N5IICTrW388apU9S4XDyzcCHZdjubqqsVj7fcXG1zHCuoAx/7PmZlYdDpcAWDPLB6tbZBqBw9Nc/4xzt39rPzGFgrz5+nzuXiucWLyXM4uOnddwGFJJ9+Bd9EUBr4V06c4HhbGxLKfV4qnPb7QiGcZjOPb9hAs8ejNSi3DhvGqOxs7hw5kv88coTlZ88qohGxifgiERYMGqRxYtXrtuGeey5DBVQ/u0u9vUzIy+O5w4cxC59HNXA+LsuXGeCqRtSgbHxdfr8m5FF5b3ePGqXdX6qyHeBnu3fT5fdTnJKCKxDg9/v3U5icjEGnY8elS+yur6eyq0sRET3yCO+ePs2xtjYsej29waBmIryvsZGJ+flUi/u+UTSBquff7vp6De1ZWF7OX48e1ZCS4uRk2n0+JJSxcSAaRZZlnGYz6TabFme2r7ERh9mMPxzWfOtUmxajMAdXB+ZRsbnvqq/nYnc3Zzs7KU9L40hLCz2BAEa9nnSbDX80yimR3awTY2STOHx7w2HyjEbSbTYWDR7MX44c4VhrK1dlZ2tI8/6mJiwGA1k2G+5gkJgsYzEaaXC7GZmVxc/mzKEiI4NpL79MRHilvnriBGurqhTvQZHuYdTp2N/UxNjcXG3N/I9rr8VsMGi+kbq/E0Wq6u7mquzsfhzAMTk5vHX6NNF4vF985P7GRrLtdm6uqODlEyeo7+3FEwpxur2dA01NDE5PZ8W5c4pN0+TJnO/q0tC/4pSUftSLTUKt2xsMKu+P08kPrnAwv9Tbyx0rVuAwmegVjgYrz59HJ0mE43HmvvYav5o/n1+LfNyHPviAVXfc0e+53Vpby3e2biVVTJZAABZ9fdhNJiLxOFbhE6maVYPC4YsIwVpZWhr3rlqFW1haNXg8rLtwgUbhTfvg1VczKjubXZcu0eHzcfuIEX/X9f9n1T+UXfvv+p+rfQ0NfNTQoAgmUE4OKrG4NxhEFnL/8rQ0hQPV10c4FqNGQPwLBg2iyeOhvreXbMHJGZ6ZiV6MYdU31hcO0xMIEIhE2C5i0tQFRSU0PzJ2LN+cOpUcu50Hr76aa8rKGJyWxqbqaup6exmdnc3M4mKsQl3UJ0YT7mCQp3bt4t0zZ0izWjnX2cmrJ07gDYfZ09CgEctVFMIfidDl97OnsVEjGmfb7QxKTcUijF27AwF+u2/fZQrFxJIkiZ/OmUNpaiojsrLQSRJ/SDDhzLDZ2FJbiyzLGheqwe1mU3U1zxw4wF8OH9Ye8ESj0wMDYpM+qbr9ft48dYpILKalkaw4d47qnh6uHzKEuaWlygYijJ0BLUZprTittni9VHZ1oRPN/UlBejbr9QzPyODz48cTl2XuF7FF6y5c4FR7u/YaPKEQ/khEQw/+cOAAvxfmvY+NG0ea1craCxc40tLC/sZGWrxeznd2kiE2H1CEJRk2GwsGDSLTZuPJWbO09JBfzJvHU3Pm8OyiRZoy7uaKCvIdDjJtNrJtNvSSRLM4QfeFw1T39PDMwYOaF9fiwYM1sZArECDVaiXDZtNyVtX3WbVUSPT3+smuXXxxwwaAK6rkEuuq7GyNZ+cNhTSk0R+J4DCZtAZHNf3+uLrY08Og1FQm5udrP9NiMJA74OeHYzEOC2GLTpIYJnhoFoOBmCzT7fdj0ukIRKNk2mw0ezz4IhEqu7oIRaNMzM/ngauvxiKMg8OxGLcsW8bNy5dTkZGB02xmRAIyXtXdrfnRDaw0gbo2uN1sqK4mJiupMHeOHEmbaHLDsdhlyEZik9fl9xOTZe37/2r+fKYXFfHVyZM59Mgj7HzgAY2vaxLjskA0qogYfD4lztBu586RI+n2+2lwu7U4q2cPHuSRdevYXFPD8nPniMXjjMvNJdliYXVlpeIcoNczOT+fJpFKkyKmC55QCJNOx6o77uAv11/PlIICrbFS1emT8/NJF1FxOXY7mz7zGb4zbRp6SaLL7+eJzZtp9njoESjQNeXlDE5LIzMpiUn5+VrMnCrUCUSj/Pyjj9h56RJxWWZ7XR1tPh8+0Xyq77tRHCoC4h4LC2NqvSTx+QRh0tzSUvY3NXHfqlVc6u3V0EQ1FzZVGM9PKSjAFQhwqbeXq3JyOJOwbqrPeVio0K8fMoRvTZumIb8lCUjxjOJiJubn88INN/CmiBr7pOry+znW2kpbXx+DB/Apy9PSiMbj/Qx9fzBzJjajkWg8zrenT6ciPZ1wLMb+xkae3LlTs3VRPVHnDRrUjw+YODVp9Xp5XvgNSpJEJB7nRzNnatF3akXjcc3doVcIXtRR7cWeHqq6umj0eLRoM/W6JcYaRmIxvrN1KwCuQICrc3KYkJfHTWJ6lW6zcf3gwRQ4nSQJjqkkSRQ4HHx/xgzyHA6+v307N77zjia6SRIixyaPR7HC0uu15+Qbmzfz6717L1Me/2/XpyJ5/65/Tn1zyxYt51At9VZQye2pFgun2tux6PVa5Ip6wv7Nvn2aYstpNpOVlMS+xkaC0SgRoewsSU6mta+PbhGfpfJZTMKpPjMpCYvBQGlqKnW9vTjNZu4YOZIMm43Pr1vHKbHI7G9sxGo0suGee1hx7hxP7txJKBYjzWJhV329YiJsNGroTXVPD5F4nB9s306y2cx+cbJTTS29oZAWz/PX669HkiR+PGsWn1m1Cr1OR4fPx+aamiuasaq1aPBgrVEBBT158cYbSbNa+ePBgxpCmu90UtXVxT0rV/b7+tHZ2UzIz+eNU6e0Jmtbbe3HEp0H1u3vvUeNy4UkFurEupIKFJQm8usffkhI+GH5RRrGgkGDNB6LJEkMzchgxdKlxOJxJKBPeLB1BwLc8/77HH3sMTp9Pk62tVHvduM0mYjKMmc6OhiWmcmckhJ+v38/F3t6iMkyty5fjtNs1sbpicR4p9lMssXCAbFxlaSksGjwYMbk5GjoWeIG0hsK0en3k2mz8cWJE/nToUOY9HoOJviW+cJh1l64wKDUVMV36/RpPjd+PDvr6xmZmYkkSWyvq+ORsWO1caZKA/jChAncOHQoT2zZ0k8dnHmF5iax8p1OfjF3Lp9fv14bmdSJcPcMk4kjjz7K6spKfrZ7N0/u3HmZFQ0oI9K9jY2azYlOknh20SItOSOxXjx2jJePH8eo17N48GDeEmhXhs2GWa8nyWSi1evFHQqxp6GBUdnZTM7PJxyNYjUamZNgpTI5QcjjDgY539lJdlISo7Ky6AkECEWjXOzu1ojcA8sbDtPp9/PqiRM4zGbt8DY2J0fLa9aJa55IdUi1WGjp60OWZd46fZrKri5Od3Rw6/DhzC0tZW7Ca7SbTCwqL+eDqiquLSvjt/v24TSb6QuHyXM4SDKZePHGG6ns6mLl+fMERFMCaKbBAbEGpVit/GDmTD6sqeE/jxwB4KnZs2kWyTd6QRmwGgx0+/2MyspCr9PxlY0bGZWdzfG2Nu1nGnQ6lo4YQVlaGo+uXctDY8Zohrdmg4FLAolJE5MOJIlttbUaGnqwuZkcu52pBQW09PVR39tLl4g9bPB4KBBiNVmWNb5fgdOJJxQiElNyqvVC7GA1GBS7F1nm2YMHWTxkCBUZGdw9ahTLzpzRmlKTXo9RHOSQJLbffz9L3n2XWnG/9oXDdPv9VHV3E43H8UUiuAVyHopGMen1DElP5+5Ro7AYDBxva7usKYK/Cec+rRa++ab2/wMpCepB444VKyhwOvnhzJkUJidra14oGmVIRga76us52NxMTyCA3WTSEmt2P/ggNqORdKuV5w4fZnhmpjYticsyX9y48bLX852tW5ldWtrP2WHdhQuc6+zk1/PnMywzk8PNzZSmppJpszH6P/8TfySCHiUtZmZxMY+NG8dbp09r99fmmhqN3qLWlyZO5PYRI+j2+/nRjh3sb2riS5MmAQp3VDVGf27xYsbk5FCWlsZn16zRkn9Mer229/ojEY0jWN3Tw+mEw3h9b+8nUk3+2fXvJu9fULIsa0TTj6u4QPS84TBuuOzfqpsjKGomFRkx6vUKUiFJWhMYjccJisWoUMQ7xWUZVyBAaUoKqRaLxpfqCQTIsNnIFOq3t2+5hYfXrKHB4+HOFSvwJTSLoHBs4rJMvt3O7xcuZGN1NZXd3copOhDgrpUrSTabSbFYyLTZ6AuHkSSJmcXFfFaoSAFyHA7yHA7a+/qwGAwcbWn5xCbvSqWeahNRl9KUFF4UBtOJ9ZVNmyhLS6PR7Wbx4MF4QiHOfYodS2L1BoOEolHyHQ4eHjuWe0aN4nRHB3saGjTlVWL1BALsa2ykzefDYTLx0JgxVGRkcLy1lV/Mm8ezhw4Bf+NXPbVrF39ctEiL2np47Fh+sH07rmCQvxw+zBunTtEjTpMe4Rwfk2UaenvZXV+veVHJskxHXx89gYDGjRmo0s202fCGQlqDadDpGCeMPUFpEOaWlpJmtbLi3DmSjEZeW7KEz4lxkNNspkG14QBSrVZcgQDj8/IoSE4mxWIhw2ajvreXaYWF3FxRwR0rVvDisWMMTSBINwm3/bK0NL43fTrnOjs50NREjculjZxOt7dT3dPDzcOGXXaNbx8xAovBwE9379a8wXSSpOWtqg38hosX+f6MGf3GUh0+H08KpCCxmZo6QHyjlrqIR2JK1mpcVmLt7CYTX508mRXnznGhu1tD6i90d2vXZsGgQf0QuXSbjUOPPMK3tmzhbTEaA0Xo8dVNmzgslItD0tOVeLVotN+468Vjx2gTPpWJZsKbBP/wpRtv5Nd79/L80aPcNny49qynWa3sqq/nhWPHtM3w/XPn+Na0aVcUTnx7+nQGp6fz1K5dDMnIoDQlhUu9vZSnpfH8DTfgFJmis4qLmfrSS/QEg/QIXqIEpFitJBmNJAvT7elFRdrPXVheTqffz8XubuaWlrKltpb3z50jEo8zKDWVZw4cYG9joxJcL0n8cv587dq/f/48a+66i1dvukkTS+UJo1pAi2g7K3zRrlTzy8pocLs53NxMKBZToqv8fm0crFaTx4NBCNXa+vroi0Swm80aEqp6hQaiUR5bu5Yt991HOBZjcmEhJ9raSLfZaHS7qcjMJMVqJScpCW84zIziYnaLJJBYPM6bp07xn0eOaM8VKAeIdDFm/NaWLcwsLuZwczNzSkr6HRT+kepNsMkpT0vTDH3VKkpO5quTJ/OHAwdo8nh4bN06ChPuvS6/H4MkERDJS1Fh4/XsokUMSU/X7qOhGRk8I0Q/atX39lLd3c2tw4djMRj49Z496FC4rLvr65lZXExlVxfb6+p449QpspKSmDdoEABLxDPqCYWwGgzETCauKStjT0MDJp2OHXV13DNqFI+vX8+Pd+7UXkeew6FROFSkPt1mY6awH6rIyCDNaiUuy2TabEwuKKDG5WLmq69qwp86l4uKjAy+N306vkiEPxw8iD8SIc1qJd/hwBUM8uAHH2i/597Gxn9pk/dpFiq3fNLH/9aL/H+tVN4JXM6XMMZiDO7qwun34xUpFp8G9qqbQobVSp7dTpoYo1kNBoUvInx+Uq1W3lu6lHdvu41bhg1DRlk4JEnSFv5l4uTf4vVSmpLCS8ePE4nHSRJIXeIYVfXqM+h0LB46lOsGDybFbGZQwhgVFH5PquCQmARSF45G+50aG91uZSQoSdgMBi729HChu5tffvTRZYjnp5X68BY4nSRbLOxvauq3WT81Zw4T8vKo6ekhHIsxLDOTsrQ06gXS+GnVGwzSKMZRM4qKeHzCBJKF19d3pk/vF+kFSgNxzRtv8OzBg4CS+PDVyZO5e9QofnPNNexrbMRqMGAxGPiFMBI+1d7OZ9euxWIw0OX3886ZMwSiUaLxuEbSV9HaXGGdIIEW7C3LMga9HpNOR1h43lX39NDq9WoZlGqpxrUrbr/9YzmJT86ahVXkPVqNRp45dIhjbW1cU1amNVHqa5ourvXY3FyN4H6+q4uo2LALk5O5Y8QI1l+8yNN79yo5xsCja9dyx4oVbK+rUxDI4cP5w8KFrL3rLu37P7xmDT//6CNcgcDAlwigiXUKk5MpEB5o/yFG+WlWq4Z4JB6SAO5dtYqV589TlJx8WYTVwJJlmcrubmV0KMbYY/PySDKZGJGZSaHTSZffj81oVKyOxJhtSHq6Fv91fICf5O76eraKoHRPKITdZGLKSy+x9sIFYvG4MhI0m7n+7be5ZdkyovE4v923j+cOH+ZkWxuhWIyooHz4IhGavV42XLzI7JISrsrJ0RrcFwSqBnBTRQU2o5Gn9+4lJsvk2u0YdDrWVFUp2dcDnjuDTsc3N2+m3u3m0bFjuWHIEAw6HU8vWKChLpKkmAl3CeGILCsxXVajkQl5eRSnpGgUikQBiV6nI8du5zfXXMOiwYNZMGgQMiIO0G7XELkOn495paXcNmwYd48axVcnT6YnEGB/YyMzi4v7GRnfd9VVzCst5XszZvCTOXPIdTg0ZbL6+6uq+hSLheGZmXQHAiy77TbeuuUWSlJScIixnZpIE4rFqHW5OCM81STgkstFVCB9cVnGbjTSFw5zqLmZlF/9ikHPPMNfDh9W0nECAcLi0N3i8XCxp4cvb9xITlISBQ4H35k6lXafj29u3qw1eHpJIt1qxajT4Q2FSLFacQWDTHnxRVZXVrLj0qV+Rvqg7AmqrczRT8hWThRmjf0YP7fPjB7Nyjvu4BvCs7UxwXD821u3srWujlg8zvmuLvzhMBk2G1MKC/uh73UuF5uqq4nLMt/esoUl77zDmL/+lWqXi8WDB/OliRMpTU3FabHQF4nw/rlzfHHDBh784AN+8dFHXOrtpbanR4vBU2vpe++hE2PevyxeTFZSErvr63nuyBG+9uGHdPr9DEpN5fkbbqAoOZm/Xn+9ZtukTjTi4jqpo3NQ1rEZwpf0OZGu4Y9EMEiSdhDXicOwhIJ0ZyclsfXeey/b098TDhn/qvp7Ys1OiA+g36FGBlby7/qH65XjxwkKbzuVH6Re2Jy+Pt56/312l5TwzWuvBZSHXLWqUF3OAQ2Rk1H82roDAQLRKKlWq2aA6jCZNLXdU7Nna43V6Y4OLdB6dWUli8rLcZrNHG1tpb63lxXnzmEXmax94TBxsTCpN7DTbCYWjxOJxylKTtZef73bzQzR7Cx66y26/H7NxBXAFIthikZZef48X508mfL0dGRZZnVVFWVGI12hEO1+P3VuNz/dtYuVlZWsqapi38MP91uA1Nf41cmTL1PBziwu5kBTE7NKSvjetm1c6u3l2rIy7hk1CofZzPDMTBYMGsSUl14CFFJtisVCXJbZ09DQb0x1pTrd3o4/GqXQ6eSx8eM/9f2uc7mIxuP0BINYDQZMej2PrFnD0wsWUJaWxgdVVYzLy+PFG26gMDmZMbm5VHZ18YuPPtLGIsdaW0kSxsr+SIRXlizhK5s2kW6zEY3FiIn8XzUJICosGbqFR5aEMtaLxGI8+MEHbL3vPq0ZvXvUKBaUlV2R76XWA6tXs7G6Ghm0LFCjTsfwzEx+OmcOm3//exwmE1lJSTx49dVMKypiTkmJoiK12zV+kWoc+viECay9cIHzXV1E4nFqenrwh8MkmUyaeevM4mJ+L54BtdTF8qOGhsuQ3k6fT0kacTiIud20h0L89ppr+vGBphYWsrqykt5gUPt9u/1+ugRClp1g7fFxdbS1FW8oxJzSUh64+mo+amjg/fPn+caUKaw6f57vi7SI/1y8mEfXrdO4ab+95ho+rK7mz4cP88jatRx59FHiskx9by+ba2o04+NkiwWLwYA3HMYVDFKelkaL18s3N2/WXsPzR49qo1iZv3nGybKsWeDcO3o0TwjT28+NH6/wUmtq+MaUKcRRRnEPXX01n9+wgVy7nXynkxy7nd/u28dv9+3joTFj+plev3nqFK5gkBSRNfrQmDFcU1Z2GV+xvreXdKuVq7KzOdfZiV6nY2RWljZ+V3N+TXo9NqOR8QPQI1B4XKp58bTCQnY3NGifG5+Xp60FE/PzSTKZ2NPQ0G8EDvDl4ueusQABAABJREFUSZP4shi/xWWZn8yeTVlqqoayDEpN5brBg/njoUOMz8vTmtpDzc1MKigg2WzGYjAQcrsJCQpNLBYjJvjS2eJwVedyobbDsizTJ6Yd6og3sdSM224hcnEHg+h1OrbV1dHl9/Mn0VDIAMIr0S5ybT3hMHajkYbeXmRZpkfYiJSlpbHh4kXNYuhUezsPffABN1dUsKqyEqNez76HHtKu2Q+3b8diMPD9mTM1ixfov7kPrKLkZJIHD+Z3gvOrltokqvy4mDDqH9jo/GDHDqq6upRouvPn+/3cZLNZ+z6/njePJ7ZuZXVlJWVpafSFw9re1xUIMOWll/j6lCncPWoUDcJw3G4y0en3s6W2lqjYk0BZd+OyTFFyMnaTiZV33AEoPOTFgwdr+8aWmhpOCmT+Sk1uIpdVtRuLxOM0uN3cVFHBRw8+yKXeXkKxGHazmW9OnUqdy8W0oiIcJhMmvf7vFr/8M+rThBe3AheA0UAd8HNZlh8UHw/901/d/1BJkrRQkqQqSZKqJUn6zr/69aj5tIkonV74DZX39PDHSZNottsVFZn6eUlxq9dOGiicGtXAuK63V/P6afJ4CIg0C4P4uiHigQHFaV916g7FYvxs9256g0GuHzJEWWgOHSIiZOYqcmc3m0mzWvFFIozKyuJ311xDVlISGTYbiwcPVtAYWeZSby8lQj2VL2KgFpaVcfiRR1i/dCm5XV2kdXdjaGvjy5s2EYxGqevtpauhgWeWLSPf5SLnwgUt0gvgVEeHxrMChVB76/LlvHPmzBUNWvMcDv6wcKF2kgXFB29SQYHW5Br1ej4/fjwPXn01o7OzmV5URJ7D0S9u6+OiaFQU5udz536qNUG338+ys2e52NODUadjakEBHX4/m2pquG35cs2OZExOjjYGyXM4mFtaym+vuUYxDhULhMVgYFxuLteI0dL5ri4sIiB+iCDrXz9kCOPz8hiSlkaB00lFejpzSkowioUmXSC3ifwUSVKyjkPRjxe7bKurQ0a55/IdDkx6PYWCm6QqHQucTm0zmj9okLaIFicns6ehAYNOpyEnOkliWmEhUXGf6SQJX4KSGxR0S02qkIWIQl2Ez1zB/Pp727bxyNq1uAIBTQhQn4A6wN9UtipxWpZlblm+XDFrlWXcQvT0cSXLMp9bt45QNMqm6moeW7eON0+dUrzpxEa3YNAgLRIp3+kkyWikODmZRrdbU0CqitFf7dnD7e+9x+aaGkpTU7ll2DAcZjNLR4zAJ8xeveFwP34S9E/LuNDdrfBrxXvsMJkYnpnJ1Tk5/TaXCXl5uINBrn3rLRa++SbBSISN1dXKGNliYVphYT+qgfrsqHFn39qyRclozs7mYHMzRpFmMLBqXS5Mej0/mTOH78+cyftLl/ZD0hP5YzsfeIDfXnPNZd/DpNczo6iIFJHnm3hvJhL3DTodE/LyOJZgwH6l0kkSN1VU9KMHpFgsjM3N5ZUlSxiUmkpZWhqpViuHW1rIFIpMNXpLJ0mUpqSQa7drG7fNaCTFYkGnit0kxVNSVb3K/M3aKj3hoCGhIJI1Lpf2jASiUQLCxkp9z+KyzBNTp5JqtZJkMhGNxfCGw7T09SGhPFcyUJKc3O95UNenVZWVgEIpWPjWW5xub0eWZTZWV7OqspLDzc2aVRH8zQro4yrZYmH3gw8yKT+fO0aM6BdtmCd8FzsDAVq83o9N2/nRjh10+nzYxeHVbjLxyokTbLh4UctyNup0BAViFxHN9dD0dK4S+bi/3rOHu95/n5+I2EnVOeLpvXvpDQZxmM3aPqnmZN+2fHm/yMNEYEBtMK9kdRKMRjX0OPF3LXQ6NR9Sq9HIMPG8Adw5ciTfnTGDmcXFjMnN7Seg+lfUp/nkrZJl+U5gFlAD/E6SpD2SJM36X3l1/wMlSZIe+DOwCBgO3CVJ0vBP/qp/brV6vaA2ELIMgs+T6fNhD4c5nJ/PuawskoQVg1Gn04yMw/E4pSkpGvIUFhExMhAXED2yYrYbjsVo8/kYnpnJiKwsXjlxgrdOneK5w4eRJEmLVwIlby/DZsMnlLNGnY4npk5l3qBBFDqdFDgc3HfVVZj0euaWljI4LQ2LwcDUwkKmFxXREwiw7sIF/JEIuXY7cVlm+e23MzQjg06/Hxk4X1WFTpYZ4nIRA7bX1vKwMF393Jo1FLndFEYi5HR3k+b39wt2Vu0QAN4RJHegn9p0YKkeXU6z+YpmoA+PHcsXJk7UPJzmlpZSJcaKB5qaWPDGG5xM2DyeO3yYR9eu1bh7oxNCuT+ufrp7t6YyW1ReTnNfnzZebff5uHflSo1s7h/Q5FyVnc0PZ87kr9dfj9NkItlsRi8pxp9PigWuuqeHHZcuMbWggNklJVR1dfHGqVNsrK5mamEh35k+nT8sXKiMyoVpbCgW40BTU7/R+5qqKqa9/HK/E7Za/3nkiBbrk2O3k5mUpLntqwvd9vvv53Xhr6UqltUElsfHj8cXDhOMRhUbEVnm4TVrONbWRjAaZV5pKXcIY1S1wVp+++3A3xbg3+zbx8xXXtE+f1jE2iVWk+Da+CMRlgwdytU5Obx28qRCuBel2umofFV/JIIvHNYU0Gc6OviT4EdeqX64Ywe9gQCReFyzhFBLRRx+MHMmj0+YgMlg4I2bb2bNXXfhNJtp9ng0M9ianh4eW7uWvQ0N9AaDjM7O5p1bb+VP113Hd6dP5+tTppDncGiZ0uqmpHL/al0uLvX2arFf0Xic8Xl5pIl1wW4ysau+nn2NjVpqztCMDLr9fupcLg42N/Pdbds0BOO6IUP47owZ3Dt6NA6zmamFhTSJiLDXT55k2ssv4woGCUaj3DNqFOc6Ovjprl1XvEZ1vb3oBP/3lmHDuConhztGjOCGIUNYc9dd2pi2U6CnA1GOSCzGb/bupdnrJdVqpUPk4aqIX/YAxHl0djaNbjfvnT3Llk/xQTTp9cRkmbre3stScnSSxNicHLbX1VHvdiu+abEYo7OzmVtSwl2jRvHZMWMYlJrK0PR0bh8+nO5AQEPATJKESafDLpoMk05HeWoqBU4n+cnJmPR6JJSDhiRJ/aghrkCACjHVSBztJTZvJoOB3mCQWDxOUUoKwWhUm+yoyvn3zp7ljwn378T8fEZnZysTitde40+H/2Zr+/n16znW2kpWUhJ/WLiQ24Z/+rZoMxr58+LFPDFtGo9PmMAv5s3jrpEjWXPXXXxzyhRKkpPJTEriFx991O/rfOEwFRkZmmjhtuHD2XrvvRQ6nXxYU8Oqykr0Oh276+vxJfgORoQ1zZFHH+W922/nvquuwh+Nsqaqij2NjeQ6HHxl0qR+NkFpViuPT5igxHjq9XQHAtS4XNz1/vu8LnJlQVmflp05wxGRUPT1yZMvo+uo69u8QYM0z8OJ+flUZGRwpKXlsjX7/8T6ey1UgoAb8ABJKKkX/7fURKBaluVaWZbDwLvAkn/Vi2lyuUDI55FlTLEYlmiUMZ2d3HfsGE3JyUoDYLczSowV1YXJajBQlprKk7Nm4RQWA3ExnonH47iCQSX2JxZDp9MpiwYKWvitadMYmpHBfxw4AMC3p03j8xMmcNvw4ZSnpmrcnt5gkAa3m5KUFB4aM4ZoPM7E/HycFouGqqgB5aBYaqgcpp/s2kUoFuM/DhxgU3U1KRYLD1x1Fb3BINNefplzly5hAJ44fJgxbW3k9PRw4vhxmt59F8xmfGYzN7e3cyEzk/ENDQRDIU1V3J7Q5O1vasKk15NssfSLUBtYdS4XwzIz2X7//Rrn8JNqeGam9uD/VqiX/yKI4QCvnzzJsdZWzdfpk06+cVnmm5s3s6WmBlcwiM1goKq7m3mlpRx77DGuLSvDHQqxuqoKk17PhosX+43jwrEYE15QrCmXjhjBbcOHkyRyRcPCvBX+Ftl1U0UFs4uLtU1bBmYUFXH7iBHKSFVw/bzhMLUuF386dIjxzz+vNXprhOHtQPPaU+3t2oKt5hp3Co+zgFhsDzU3Y9LrGZaRgcVgYFd9PT2BAEuFkXavSFsIxWLcvGwZexsbOdPRQbPHQ4HTyZKhQ7lj5EhSLRYenziR95cupTQlBavRSIfPR28wqDXKE/Pz+f6MGdS6XLx95oy2IcqyrPlCgpJOoiINFxPGLSoipnLyukQDkZWURIrFgkmv5zXxPg+sYDTK7/fvp87tvmJjsv7iRewmU79w+NHZ2RqZfWd9PT/Yvp1d9fV4QiHWX7zI2c5OxYYnNRW9QFh/tWcPC998k7gsa6PNEZmZWjxUl9+vxQAGhTecXpKYVlTEH6+7jkKnk2A0yqsnTvDFDRv4g3jmvaEQXYEALoFivnX6tNb0729s5EJXF1Nfeokmj4edQp2++O23NWJ5NB4nOymJoenptPX18au9e/tllqp1qbdXiyhTqzglhSdnz9b4sqfa21n89tvcu2oVLx8/zvSXX+au99/nd/v38/KJEyw7e5ZLvb24AgFeO3GCZIuFpxcs4MlZs/qp6uFvHoq/3ruX727bxl8TntmBdbG7m2EZGeiAd8+c0Xwp1Wpwuzne1sadK1YoBu4+H4eamznT2cnqykra/X7OdHRQ2d3Ntro6nCYTMVlWUDxJQqfT4TQaNerEY+PGadOOCXl56CSJ2SUlpFmtDE1PVwQ306aRY7drhumSJGm82lWVlUwpLORHM2dqUXBxWcYmzOhNer2Gkt+7apXmEecRpuoAtw0fTq7djj8a5cfC4iTx0JxttzO9qOi/NFK8pqyMb0ydyujsbJ6cPZvDjz7K58aNo0lk0KqNcovXy+SCAm6qqKAoOZnvzpiBPxLRXmMwGsUdDHL3qFHk2u3EZJkOnw+nycSSigp0kkSq1coXJ07UjMW7/H5y7XaeOXiQrKQkSlJSOPzII2z+zGf4mvA8DUejBIXVz+HmZjZWV3OyrY0b33mHp3bu5L7Vq1l+9ixtXi83vPsuU196iSd37OCLGzbgCgS0JrssNZV5gwbx+IQJfGHCBG4dNgxPKMRHQizzf3J9mvBijiRJz6NEms0BnpFleYwsyx/+r7y6/5nKBxJZqU3i77SSJOlRSZKOSJJ0pPMK47//yTpw8SJxcSo3iVODMR7HHYuxZuhQ3FYrUwIBgob/j733Do+rOte+f3t612gkWV2yLMly773i3rABU4wxGDAtkEB6IzkESAOSEBJCQg8dDJhibNxww713W5IlWb2X0Yyml/39sddsJEqSc95zkvO+X57r0hUiq4xm773Ws+7nLjpONjXxrlAsmXQ63KEQoViMeQMGEI7FiIhFPi7LxPkMnUjElSUWi8P19Zh1OlYNH87YzEwcRiPn29qwGQzcNGIEH5aVUdvdzeunT9MTDhOJxxmRno5eq6XF5yPTZsOg0bCrupqYEGH0s1rZfcstXDd0KDkOB7PEmMdhNKKRJPXhmC2k8JFYjF0NDfQPhxm+bBmP7NnDnSdPIgMT9u/n14MH82BJCW0rV+KXJMocDtJra4nG42rjlbCQOdzQoPDN/H5219Tgj0TY2csPCRS7hnNtbRT3soz4e5VQqP3+4EGq3W5cZjNHGxs539ZGTDihg3K61AorhK+qix0d7KquJhKPMzojg0k5OeQlJfHo3Ll9kEVZlqn3eNBKEocbGlSkKnGC/M3+/Wg1Gp5cvJg7xoyhMxCgrrsbdzBIls1GisXCEwsXYtbp+PmePcrmEo+TZbf3Uc7dOWYMj86dy7jMTCw6HU09PVxyuylrb8cfiajNcu9YsLisRHolDIkfmz+fb02aREjkfvaEw1xyu5n24ovkPP447124QFVXF88cO8bsl19mW1WVGnWWarGQIzb4b23eDCgoZHcwyNwBA5ghslPfPX+efKcTSVISId44c4bla9cC8NzSpfx5yRJmFxRwqauL+z/5RG1OK0QqzNfGjuWVq67ippEj1Wt/50cfqe9rgp/nFgei401NyIIXd++ECexdswanycQ64fOXqJaeHsY884zK94nG48wdMICXr7xSbbhPt7RwpLGR723dyjvnzqnNg1Gnw2E0slfwys63tRGJx2nz+2nz+9FrtXxQWsoLJ06oYy69RsO8AQP43pQpXDloEOUdHeQ6HBiFCEAjBA4xgeJb9Xr6O52My8qixefjkttNdyhEVzBIZVcX+wRv0KrXq8KHoEiAAIWje8uHH9IZCNDk9arxaDVuN+UdHWqah0WvZ+PFi2SJkemThw7REw4TFhw0UA4K/b/CRiiRF3q4oUHlI/75yBGCwibmgZ07eWDnTibn5LDuuuuQUYRqYzIyCEajLC0p6dOM7K6upjMQ4KHLLlOpE88dP8668+e/QD8419rKynXrKO/oIN/ppKmnh2vfeUdtaEFpHGRZ5kxrK01eL+2BAFUiCQZQkcIEfSAaj6sxZgmP0jmFhWqT9pOdOynr6OCZY8c40tCADGyprGR5SQmjMzPRCBcEjZgm5DgcTMzOpp9o9gKRCGMzMtQxc2Is/Oi8eerzFJNlFvfyl+wRY/5ANMq+2loO1teTabczMz+fUDSKNxymvRf95fPI6P9JWfR6dYR/oqmJmS+9xKinn+ZcaytHGhqodbsZnp5OjsPBDz/5BIfJRLHLpVJ/vjZuHKvEwaZBWBBVu90sX7uWGX/9K4/s3YtRp8MsfDk/KisjHIvhDgY539bGM8eO8d2tW7ln40YkWckwTjyHkXicTRcv8uLJkzR6vfzx8GFlHxWUkYQX4MaLFzlYX8+G8nJ2V1eTabczIDkZg1bLmtGjMev1jMzIwG40fuVY+n9T/T0kbzsKErYXMAKrJUn6Y+Ljf/zV/ffUlx1P+pBuZFl+VpblcbIsj0v7iuii/666ZsIE9QVZIhFmVFczr6KCeoeDyuRk6l0uygUSoA+F6AgEiMXjTMvLI9Vi4aYRI3ji0CGCggCc4H0k/iiNJDEoLY00q5UWnw+dpLiBL3vrLR7YuZNDDQ0camjg0X37iMbjPLhrl7JAAx3BIP5IBFmWOdrYyMH6emrcbuxGY58xXll7O7Isq8gSwM9nz+bFK65QF9ZLAhHSajQ8v2wZAFVeL/0jEew/+QmOBx+kIz8fCXh06lTCsRhbBw7kydpaGsQG0Wo0qqTVvXV1XP/uu4x99lkqu7qo83joEXmnaz78kO9v26YGuLf7/axZv56qri5aenp4ZO9eDtXXs+niRfbX1amN1X2bNlHe0aGqvhxGIz+bOZMhaWlKisEVV2AzGHjp5Enqe6kNI7HYF2xIQGmQnjx0iKePHKG2uxtZlkm1WAhEIjT19LBi6FD1/UqIOyIiaSChID5QX88Pt21TVZCJ0/CaDz9UDZ57hAfZ9Px8Nqxcye8OHGDea6+pLvAuk4lR6el9UE5JkvjGhAnsvvVWPl61Sg0zv9jR0cdAtKGXZcPHFy8SFOMIp8nESydOcLSxEZ/gn5m0WjLEqbsjEOAXn36qppEkxAYtPT08f/w4Zr2e91asYE5BARpJIttup8jlIsNm42RzM+vOn2fugAG0+Xx0CHQtsfkkDi+Jja7R68Wo0xGMxTjf1sb2qipWrlsHKKjOkLQ0LHo9aVarajWSaMQMIrGgtrubH2zdytc2bqSmu5uYLDMxOxuTTsf0vDwO1NcTicW42NHB+rIyBj/11GdqcrExD0xJ4cOyMkxarZoAkmQ08odDh/jGpk2qJUbi82UdHZgSsYQC4dBpNHx38mQm5eSw7sIFTjQ3k2Q00ub3s2TgQDLtdtU25YmFC/GGw9R2d5NpsykbdiiEReR57q2p4bp33sEbDpMhVNYJ4dO+2lqONTUxJC0Nk1CKxoTyVa/REIxGafP7aRf5r6BssgmkN44SR5dAnfVCJPLiyZPMefllBv3pTwx+6in+euIEmysq1INB73pg504WvvYa173zDkcaGuhntarCotkFBfxm3jxAaVLOtbUp65t4nj8oK1MPB73rMaEwXjJwIH9esoQ/L1kCwK/37uUPQs2eqN78TH8kQncoRDQeV+1wZFnJg43JMlGx+WslJQYy8fc4jEalmROIerbDQV5SEkYRpabVaDjd0qJODhLiuu5gUPUvlSSJYCzG8aYmbl+/nnfPn1ea2gsXFG5oPM59EyfSX0x16r1e1edzeHo6VoOBwuRkAsIWCxSUOHHQTqizExm0H1+8yODUVC4fOFAdo2dYrTy7dCnAl3rs/Z9UIn7u1VOn8IfDNHi9yCiHoA/KykjtNVWx6vVc7OwkzWplSFoaeo1GEXVJkmo2fbSxkS2VlcRkmfcuXKDJ6yUSjxOJxegMBmn3++kOhajzeHh492721dayobwcbySCUSQJJfZcTyjEh6WlnG9r68MBliQlA7i3SKuis5NDDQ3M7JVxnqgEp3hrVVUfVPR/Y/29Ju9W4PfAEeAoCqLX++P/hqoHeptd5QBfrSn/J1SRUBh2m0zsKCzkQv/+9BiNRMQJ5WhaGt/dv5/hAg3LS0riqcWLSbNY+LSmhg9KS+kXCKCLxzHF4ywS3kEawGEwYNRqybBaser1LCgqwiAcuaPxeJ/R1a7qajV1AxShgVaMfpu8Xua88gqgLLpGnY71K1eSZrWyvqxMTTRIlEmnUzfjHIdDTeYAxUzXpNNBTw/9MzIgOZm8W29l2YMPUitGGACtKIT4TJeLgF6PLh7HbjBg1espa2+ntL2dQCSCBNw8cqSKGibUT2+dPctdGzaw8LXXOC/EGgcbGhQV7ubN/MfOndy3aRMH6uvZXlXF/ro6bli3jp/u2KHC7ktLSnjlqqt4ZO5csh0OVgwdyqHSUg7efTdjt2/nR1OnMjIjo4/RaDgWo9Xn45q33+ZH27fz3W3b1HFFwifszrFjua5XvM2knBy+MX68ys9JoG63fPABW6uq1Hg5UJI0tlZWUt7RwcCUFJXTZNbp+OmOHVR1dSkJIoKLVehyMTgtrU9QeO9Kt9n46fTpgNJU7umlXCxtb1dc9X0+frVnj3pv+MJh6j0e9tfVYRDN3V1jxzJ/wAA17sgfjaojukR4ui8SodXnI9tux240cqK5mXMifi1x3X+yYweP7tunhorf+uGHyLLM4F4HrhyHA4tIaXlKxHaFYzECkQhrxShXp9F8wbE/MbJNNI6gEKc3lJfz15Mn6RG5oTqNBl8kwgM7d5JqseAJhbjmnXcY9cwz/HTHDkJiTKrXaJhfVERnIMBv9u3jvQsXiArFc4rZjDsYJC429d7PSIvIfe4IBLhq8GAVkbl2yBBGZWTQ3+mkyetVUlTEz0s0iRc7O5k3YADVbre6YTqMRvKEB2GOw0EgGlV94LSSRH+ns0+O9cOffkqz16vycBPXzGkykW61qokkURFTB0psXkSo6gORCHqNhjt6ZaMm1MmnWlpo8flo9/t55uhRdUNP1NbKSi60tfHxxYsqcniksZECp5N0qxVZlllUVESXEL3ExPoz469/pVrYGhm0Wso7Ovogza0+H4fr61lfVsap5mb8kUgfn7e9ve7reo+HNR9+qChXe6leI7GYKkJq9fk4395OJBYjjnIgSDabGdavH7IsU5icTEcgoKJ6XQI9SjKZKEpOZuWwYdgMBpW+4BBJK7peIow8h0MVhF1yu3nz7FnqurtVqkiC53vbmDEqavTehQsqsh+KRjHpdFz7zjukWiyEYzEcBgMVnZ1Y9HquHjKEJKORSTk5fLxqlXoYHZKWxsz8fAampGDS6UgW6ue9a9b8TY+9Grf7S8VtX1V13d3qCHbt+fOUtrfjDYfVSUgkHv/CiD8ci3G6pYUch4PJL7zA3ro6rGLdB1Rf1t58ucQ1SPDZE3uNjNKwecNh4rKMy2IhRcTXJdq0ehE/hlBJO4TPYVcwyL0TJrB65EgAdcL1ee/ARN0xZgyBSIQ/90pQ+t9Yf6/JK5Fl+eWv+vinvML/8zoCFEuSVCBJkgG4Hlj/r3xBU3NzQXA44pJEuTj5aAA5Hieo1RK12/nh4cOMTEtj1y23UJicjEWvZ1tVFZWdncw8cQJtLEaqz8fPw2HFYVySyEtK4nfz5zM2K4tx2dm8cfXVTBXS+gyhzs0XJ8TV779Pg9eL3WjEYTAgo6QrxIGgQJC84TChaFTNmF1WUoJOq1WjuRLlDgZV6HrlsGF0BgJqk6GRJIJ+P0SjjBEmtgfq6vikqoqtN92EacgQGlNT8USjKr/lu21t6ONxzHo9ZhGh0+73E4hE0EgSHYGAEp0UChEUIeVrz53jWGOjEg0kkDQJpcmscrtVhe6FtjYOfC7CbPdXcCtWDh/OjTt2MGjvXu7Zv58NgqsxqJdK7+4NG1j8+ut9Gon9dXWqYtSq17Ny2LA+p8HEyGVMZiaDUlKYnpfHhOxsfJEIzT09KrIXi8e5bf16Wnw+qt1udlVXMyErix9NncrcAQP489GjKtpnNxrxRyKcamlhQHIy7X7/F06ZcVlm+dq1vHXuHGadjr+ePElpezvFKSlMysnhQH09K959ly2CS5hQqYViMZX8nySU1sGYEvSeiJmalpvLN4VlRTgWw2Yw4DAaCQtRAHzG+fOGw/x81qw+hsQlKSmMy8qi0etlf10dXx8/no9XreLPS5bw2vLlxOJxbvngAw7W1yvjMUmiprubUy0t3DhiBJ+sXv0FXlFvk+9EDUpJUWyFhI+gVa/n13Pm8PDu3Xx88aI6Nt8h/L/qurvV8bxFr2d8ZqZiPC0OTpWC1+UOBtUNKSbLPHf8OK+dPs2lri6qRFZqQpWrE3mp6y5cYNV77/H7AwcobW+nOxjkQH095R0dvHfhAvds3Mih+npOt7Twx8OH6Z+URJ7DwWPz5mEzGHCaTNw+erSab51ptzMtL498p5NvTpyIVvAoA9EodR4PRS4XNoNBvR6ZQimdI5qPxD1i0eupFgIKrVCNDkxNZa44UIKCKuXY7Wretl6joVRs4HExzgRF9XzDe+8pKJloIus9HvKdTlItFko7OviovJyWnh4cYjrQ2NNDt0ApATWWLtE8dgYCHGloUNanWIwlb7zBze+/jyRJbLzhBq4cNIhGYRAdjsX47pYteMNh3MEgD8ycqTYJwWiUdefPM/wvf2Hgk08qHEeUcXziXhokDg4nW1po9/tJtVgYnZFBm2hsh4gUl5KUFFxms7qG6YStTUzQbUZmZCjNi8GgXH8xSvQLxAmUA3WRGF8WJCdj0GhUY29ZltVsVUA1Y/aIsfxfT55k3fnzjMzI4IGZM+lntaqj02y7vc+hCVDjCL+qwrEYV7/9Nqvff7/P89O7dly6xLPHjqn2KD/avp0Hdu0iGI2q6Rx6jQaN8BiMyzJtfj+eUAifED2VtbfT6vMpYiox/rYbjSDWFbNORzweR4PCKy3r6MBlNqMT4/FOYYf06lVX8f6KFWQ7HAp6J0nKSF2WSe6F5skoqttEqkqyyYRZ2KIYtFrumziRb0yYQG13N/5IhIMNDYx79ll1nJt4ThIZvB+Vl/dRu/9vq7/X5C38O//+v75kWY4C3wC2ABeAt2VZPvevfE3fmzKlzww5MXaNoZx0jFoth4cOpcjt5lsmE1l2u6oAlWUZUzTKnJoa9PE4+liMAQcOsGr4cDSSRFlnJ7/Zv5+Vw4YxMz8fnUbD2muuYWhaGu1+Pxk2Gz+dMQOrMOyMxGKqfUKiEg9PXJa5evBgNSnDIqwgjFotFzs6VK5DVyDAuN//nlc/+ohBZWUscDiIxuOs+fBD9TR9f0oKA/x+Jgtfud/s38+migolxD0WI6zXqyIRTzjMiyUl6AXJv1Ooc9t9PvyCSPvC8eNK5FNMyfM16nQ0eL1KlmQ0qvJSfjF7Nj+bOVNJfvD58Eci7KiuVkUkifoqAYelro6F586xbcAAJRtTcP8SViyyLKtihzSrlWy7nWg8zosnT1LZ1YUnFGJ2QYGq3uxdn1RV0RkIYDUYKO3oYFpeHpk2Gy6TSR2Ph4QHXqLh9oTDbK2sZGi/fvxIjFnjAoFNNMPBaJRtlZV4RbzY1spKxj37LPUej6ocbenpwaLXE4pGicXjlLe3q6KEuu5uPq2pIRSN4hborCzL3D1uHN8QamSA9y5cIM1qJcloxKLT8crp0/zok0+IiJFTisWiCDSEp9rjBw4QEOPBgSkpLCwqYsfq1aoXW5vfz5PCFf+bmzdT5/HQz2plQnY2NoOB821tKqqg02gw6/WcaW0lFo8zIz8fWy/BQ6IS4+Pepq/3TpzI1YMHY9BqyXM6SbNYVG+7xcXFlHd0KFwegT6E43ECAkGRJElNJ9FrNNSJUW80Hkef2NCEbUYsHufxAweY9+qreMNh+lmtXDtkCPMGDGBEv35oxYioxeejVYgp4mJEmXi2tlVV4Y9E2FxRQWtPD68uX876lSuZlpdHOBbjQns7zx47piKoTy5aRElKCu1+P+Ozssiy2dTxcDQe5y9Hj7Lz5puZU1BAflISJSkpDO3XT0FJAbNWi06jUbJYxXWUev09GeJAOi4rizevvprLBw5ERlkDukRCTyQWo87j4b3z59WM6q5AgBafTyHU+/34IhHev3CBIw0N5Ccl8WlNDefb2rAbjeSITdoscp9HZ2Tw3NKlaDUaStvbOVhfz/xXX+Xh3btVRXNnIMDp1lb+cuQIpSI1A5SR4UO7dqmHuoVFRTSJVJ05BQU0CN7dhbY2POK1JlDORCrQpooKtdlPXOelxcUYtFq0Go3KP07c27kOh9rwJRpEu8HAmlGj0Gk0OIxGvjNpkpLVKmxRZPFMNXq9avzgoNRUeiIRFdkF5XCYZrHQ3NOjov9JJhMRwUsDReyTWM/WjB7NMmFUr5EkXrziChWpuvmDD77wvPSun4pnAmB7r8kCKA4RZ1tb+d7WrTx77Bir3nuPj8rKaPf7qXa7ae7pUVDgWAyLSGDpDgZJt1pp8nq59p13qHG78UcixGQZTyjEzupqKjo78YZC6v2XcJVAkqhyu6kTE5IGrxe9VkuWw0GW3c7YrCyWDx7M/MJC8pOSyLDZMOl0BCIRugIBesJhHps3r4+3bJLJxACXC4sQzwDsF/eJRa+nW9AzXhOK3FMtLbxy6hRTXnyRF0+cIC7LPCI41u+cP/+/Fs37e02eVpKkZEmSXF/28U95hf8NJcvyx7IsD5RluVCW5V/+q1/P0H79vpLsGozFWFJczPacHMI6HROF1xEoCKAmGmVIezv7s7LI9Xh4dvNmpIYGXGYzQ9PS0EoSu2tqWPbWW7woOFR24Z8GytjrhuHDuX/6dCQUUniy2cz9M2aoi1tvu4ZXT51iV02NamLbm+OUQIkOv/cepsZGLG1t3LNnD6Y//5mecJi67m5eOnmSY42NDDh4kLfPnEHby7YFlGYvkXaRJLIog9EoGr2e0V1dDDKZVNNRq/CnklAQR1A4LzqtFk8oRLbdTobNpqIuE7KzWVhURElqKoPFe9Pi83G6uRlZlvnw+utZM3o0d44dS61obHrXyydPcv/jjxOKRnl5yhT8ej1Zp0/zrbffZvjZs8SPHePNkyeR4nHSOztZbTDQ6PX2SejIttu5X4xGe1eT16uGZf9g6lTi8TgP7d5NOBYjx+GgJxzmhuHDMep06mgpQeYOCm9Dv3Dcb+rpUXy2BCIQl2U+Ki9Xm7rf7t8PwNVvv61aCCRGUSZhsByTZU40Naleiieam2n3+9EIbkxiFJRQ4d00YgQmnY5XTp0iS0TSxcVirdNoSLdaKXA6STGbCcVirD13jhdPnFBNiCOxGEcbGzFotYwVo+96jwe9VquOAT8vpjkjNtN+VitasUGWtbcjSdJX2tmkCL+z3+zfr1qu+CMRTotx8WX5+dhEcxuXZa4oKSEilOpxPjNf1gkOVki8zwmDcq+IlDMIZKYkJYVjd96J02RCRhlzJ7iSRq2WE83NbKmsJByPY9Hr1Ya5tydj4np7w2El6UKg7O5gkDafj+KUFLSSpMYzFSQn8+IVV7Drllvo73SS7XBwsrmZn+3aRUcgQIbNhrGXdcjYZ5/lZHMzK4cNo87jYVRGBqFoFKNWy4+nT0eSJC6I2MWEHYtWo6HO42HWyy/z0MyZZAmuYEFyMla9HqvBoCK6NvHfL5w4wZ+PHqXO46HB6yUixtXJvcQvicMrKCNts15PktFImsXCvMJCBqemsnfNGsZkZlKYnExZeztHBVp/uqVFtZRJEfZP39u2jeVr1zIuM5NRGRm8duYMu6qrCcViShJJIMDO6mqGpKXR6vMpViciS1Yv0OHER0Lg4hcThpBoen3hMI/u369ep0QD/cKJE1R1ddHh9zM5NxeH0cij8+axY/VqSr/xDVaKg3hXIMCj+/ZRlJyMWTQTCTV/VIjeEj8XlMOE1WBgxbBhPDp3LuOzsgiI6UpeUhJ3jR2rxL0BP5o2jfcuXFB5ti6RE9zg9SLLMiPS07lWWKV4Q6EvVZEn7seD9fVKDq3RqD57oIzBl775Jrd88AFlHR1KpFs8zjvnzrGvpoaQUP8n3s/E89wZCBCMRPBHo+yurlZzeU0CTXOKsbdJpP+EYzH0gv9o1ukYkJyMWacjLylJMQ0XE4UkYU+UmGiUd3SwdOBAnOK5Tghksux29XMhobhNs1gw63Rq2stesQccaWjApNNh1eupcrvxiZ/xzLFjRGIx/nzkCJsuXmRgSgqrhg+nyetVebnqcyx4t//q+ntN3iC+yMNLfHy1Tv3f9Xern9Wqvvka6AMl17jdtMoyVaNGUXzwIPzud5TX1/OHQ4eU06XRyLaCAuYMHcqp4cPx1dezo7KSK0pKsBoMKvKT4FHBZ8rRRKTVwJQUJapHPITT8vLIdThUQnEoFsPp9fKNDz6g0+9XI2rykpJUrk+9xwONjXS++ioAt1RXs6ewEM+HH6IXHkInm5v5xvvvI23cSP3kyaDX4xPk8fHZ2QrRX5Iw6HQYdDpuHTVKgeJ1OnqsVp4cORKX2YxRq8UXieAwGNCIEZRenKQDgvel12pV5ZhVr6c7GGTeq6/y4okT+MJhbhwxApt4aCPxONkOB/eMH68awD7TK/Kp2u3mycOHyW5uplmWqbHZaHC5mHbpEvMbGtD+6Ed4b7kF52238f2//pV333qL2Q88gCwrwdXjs7IodrkYkJzcJ96n989P1ILCQkpSU6n3eNDE46x//HFub2zkwV27aBJNo8RnFibdwSBnWlpoDwQYkJyscKYECTuxgQajUcw6HSHBC4S+jYQ7GCQYiTDQ5UKn0RAW6EtHIIBWo6FJbAoGrZbC5GT2C9XpyydPArCouJjfzJtHKBajRow1EiamMVkmHI2yu6aGAcnJyLLMT3fsUJv5AqeTVp+Pr23YwIH6eopcLrQajYo+JIQ6nx8Rlba3089q5aOVK3lo1iz8IlkgMboBhVjdm/OT3ItIva+ujns2bmTWyy+ztaqKeDzO6MxM9tx6KwC3jxnDqIwM+lmtajaxhEJzsIrkmJCI6BrWrx8SylgvkRscisWY1b8/DqORWwRaUt3draTQmEwsLi6m2u3GEwqpjTMoaGNibC2JphqgR1jPJIj+LotFRcaPNTURiEax6vWsX7mSIpeL723dSkVnJzaDgZrubiq7unAYjaRaLMpIEWXEF4hEKO/o4MOyMkLRKBOyshiRnk5/p5NPqqqIxeN9xvzFLhdmnQ5/JEJZRwfXCb+xh3bt4qWTJxUqiU5HqtWKTqPBZTaTbDZzuLGRZ44exSsQkQRiY9LpGJqWxtfGjWPfmjV8f8oUQDHcTghkfjVnDpfl5/eJgCxJSaG0o4Nzra009fQQFqPLbLtdNY5OGLhvrarivokTafJ6OdrUhEWn47bRo6ns7KSys5P8pCSi8TjZdruKPCeSQxITkBSzGZvBQLbdro5TdaKRTaCuJmGNdLGzE71Wy4DkZFKtVtVkON1qZWJODk5hXJ+4JxOHg3GZmeg1GjW9QdPrwLK7pob+Tic/nzWLAqeTWf37U9PdzcGGBvIcDrJsNhwGA+9duICMsqeca23FJw4H3lAIWZZ5ZO9ebli3Tn2+Mu12Ndrrzo8++tLIrcquLvyRCD+aNo2J2dkcrK9XD68JW6kE+uWPRMi023mvtFR5/oUjgi8SoZ/VyjcmTMAo6AmdwSBGrVaJyjQY6O90IqM0o5k2G9cOHYrVYKAnHEan0ZBkMpGXlKSIW7Ra1l57LWuvuYbrhw3je+K+mV1QQDQeZ8oLL1DjdhONx7EZDCSZTMrIXaB3vztwALvRqO63cVlWaQs6jYYko5GLnZ34wmE2XLyISajig9Eotd3dnGtt7aPY3n7pEj/+5BN+f/AgFV1dfaZBH1+8yPjnnmPKiy/yi08//Upj/X9G/b0m77wsywNkWS74ko8Bf+d7/11/oybn5pIkDDONOp26iIDC/YjLMuuzsqiorSX6+us88MYb+EIhYpJEs80Gej1Dx4/Hn5ZGZ3c3pp4ePiovxyQeoIRUPtHkzR0wgEfmzuU7In9wUGoq/kgEi8HAAOE7NCknRznBarVoZJk0v5+5lZVMbmri6sGD4cwZ9KdPqz5LP3rjDT5dvZq1OTnoYzEyLBbemzGDoxkZTCktJShGNzltbegjEV602Xj22DEOCe7ewsJC8p1OVcH2zYkTeWDmTMVNvKeHT9LSuHvnTpp7epQYNVmmzuNR+BmioZEF/0VC4XtViGQJUDbMrkCA548fx2kycefYserYNNBLWTUwJYU7xoyhvKNDTULYeekSKbW1jDl3jrLUVMKyzBHRICc2hK5AgOy2NkqEMa8nFGJIWxu/mjOHT1avZmlJCU8tXvyl179OXJffL1hA1aefsuLkSbINBnR1dei1WmZVVeETCkCtUKPajUZ1hBYVjXZMNBgJ5CExsozG4/SEw/gjEdzBIBfa2ojG4zT39OAUySjdoRDjsrLQCUNVk05HflISRS6XYkgqyxi1Wu4eP55BaWnEZZndQsVnMxi4d9MmjIKn1i5G6onmxShGx0PE93lCIbIdDnQaDe1+P5F4HG84zLHGRqwGAyNE7NXB+np+tWcPaVYrjV4v75w7py6eDR4PuQ6HOrZLoGCmXs/OT3fs4IZ165j/6qtsq6xEq9HwjjBW/svRoxxuaKBZJAY4TCZcZjMGrZZDt9/OXQLRrfN4sAkBk06S+N28eao4Q6/V0s9iYUZenppQ0nsRHZaezjVvv83ywYNxmkyq+eucAQOY2b+/OgYakJzMo3Pn8qeFC7EbDAoCpteTYbWSLJrWqGiyw7EYWklSEyrOtbZytLERq16v2sQcbWzkaGMjv96zR0UPsu12Prz+ep5dupS/XnmlOqrqbYINSiB8RWcnQ9PSVMJ6769xB4OqYhJxjTsDAfU5/umMGZy++27unzaNEpeL0ZmZqkqxqRe/NCHqevWqq9i7Zg3fnDQJo07HcsHTjcbj+MNh5hcWMr+wkEGpqciyzD0bN/LkoUNoJInTLS28cvo0GrFOjcrIYHp+vsr1m56Xh06j4UeffEKaxaIi63FZVpNnACziOUkoS7XivZlXWMhtY8bgNJm4ZsgQqr75Te4YMwa70UimzcaM/HzMej12g4FBKSnki2SfdIGkJaLpEpVAkkFZj24cMUJd9x1GI7eNGaNm/CaZTNw0YgS5SUnUuN18UFrKwsJCVgpLkaaeHnXaoBUNkFbYt3iCQazCCaDW46G6u5tZL7/M+Oee470LF4C+vOPeedOnvoSqklDZp1mt5DocdAYCfFpTo6Lny0pKWFRUhM1gUP/GBB/VZTYrh3BhK/PDTz7BKky9I6IB7P3cZNvtlKSmcuSOO/jpjBncOGKE+jpSzWa23HijSiUZkJzMmMxM/rhoEV8bN46/LFnCLaNGqY1q73gys15PqsXyWRKJwcAvZs/mL0uWkO90kmO3c/e4cTw2bx4jMzKYlpuLLxJhzLPP0tzTw5DUVPXwFZeV6E2An4jJzKc1NWyrqlITe040NVHb3Y0nFOKBnTsBBc3zhcNfiN78Z9bfy679d/0P1eDUVIWIHYth0umw6PUEIxE6hcIsFI+zy2rlRpOJFwsL+dDvJy6aGZPZTFpBAefa2mjQ61kSjfLQ009zYvhw3pgzR43H6enV5GkkqQ9pWv74Y1aXl7N93DimnjkDzz1Hz4wZTNVqOQws6eri7s2b0Wk0TLpwge6qKrjzTopCITIXLmRiUxNXV1TwrfHjCTgcjGpv5/Jnn+X9gwf5zejRLN+/n/ViZLvC5yPZbOagycRJQcpNs1rVhkSv0RCJxRienk4/q5UrBw3i4dpa5GiUUp0OTShEktHYx+/IbjDw8apVTHzuOaLxOLkOhyq2kMWmn8jxBGVRG5KWpjSwkqRy6kAJpzeKcdt/7NzJHxYuZFNFBTdv3kwIeGzGDDSSxNtjxyIFg1Tm5XG3Vovzo4/YVljIvIoKqgU367Hjx5n1xBMAPCwc0kHZKL2hkNoYVLvdWPR6sux2VnzyCfj9OATcfzwpiU3Z2crfIsQjVw4ahE6j4c9HjhAH1fYmIWSw6vWYdDrumziR727dqqBOsRj13d3YxLgvSZxK99fVYdbr6YlGVcTBL8aC/kgELco4IybLrBw2jG9MmMClri4avF58wt5i2ZtvAsrCrpEUE9gkwaEKC5TXptfzxpkziuINZQO0CWJ9tt1OKBbj5VOncJnN5CYlse7CBX78ySd4BVm+KxDgk6oqqru72bF6NY09PQxKSSEai3GksZFFRUVsqaxUR8yAiuJ1BgI8sGsX88RBor/Tye7qasZlZdEZCGDW6XAHAjy4axdTcnNJtVj4wbZtVHV1cbGjQ1FCOp209PTQ4ferathgNEq+08mntbXUuN1YDQYyrFZCsRgZNpsaKdURCHDdkCG8dOoUeo2GE01NnGhqwmowKArhxYtJs1o51dyMJClRZNPz87nU1cUVJSU8fuCAatXzXEcHozMy0Gm1mHU6Htu/nw6/nytKSnhG2GAkFI2nWlo41dLCkLQ0Nq9a1afJGJSaSjgWI9NmY3peHufa2ijv7OQPhw5hNRiYlpfHJbebLLudeo9HoXNotQSiUabn5uKtribDZkNCSV8IRqMEIxGWDByo5DGPGcMzx44xNC2Nn192GTNeeknlxq4aNozBaWm8fuYMRpHfnKgEnzAaj6PTaFTD5ISC/WxrK2dbW5WMYYF2aSWJ/5gxg29MmMAfDh1Cp9USjMX4+oQJeEMhDjY0MOn550m1WBTeseBmFjid/GjaNB7Zu5csu12lDBi0WjSxGIuKisgTEX07Ll3i0blz+f7UqczIz2ftuXOsGDqUVp+PB3ftQpIkrhsyhFUjRtDk9dLc00OOw8Fzx4+rIrTeSDLANydO5PYxY/jLkSOsPXdOVatH43FuHz2ae4Vw6f3SUoLRKN+cNEkddz7cK2HEajDw1OLFpFutfP3jj6n3emn1+egWdAmDWFP1Wi0Li4o40dzMa6dP0+j18pPp00k2m9m+ejVzXnmFUy0tfdwC4LPm/O4NG4jF41R3d7Ny3TpyhT/iuKwsfOGw4t2o06n3vUFE3aVZrco0SXB6O0VGb4LvDagHbofRyOvLl6trdQJxTbFYGJSaSq7DwU+mT+fxgwfV3w+oucfjn3uOqq4uBiQnc7qlhZ5wmNdPnybf6VTV/7tqahiUksIq0UBOzMnhtvXrOdPayrKSEuUea2lBr9FQ2dmJBFR0dSkesYIi1OjxMDw9nSsHDcJpMvHXkydVjrBJq+WNs2fVKLlErRk9mrv/gXzz/8n6e+3lH/4pr+L/h5VptyvjRklCJ0kMTk1VOWcJGLzObGbe9dfz2yFDCAPp8TjZXi+pDgdZTiel7e3Ul5Rg0OlIDYWYd/Qoky5cINfhwCkisBLjoc+X69e/5u4dO7ji+HHGbdqE3NBAe20tV544Qe3kyby5axfjTSbOFxYyrrQUw/LlCkIYiWAOBjmdnMyzQ4bg02qJpadzeOhQtni95DocnEhNZXRbG6ZoFLvBwMKjR0lJS6MtOZmQaD7cgYBqXTBGjDaXFBcjyzInm5oI63RYYjE0suJZ5Q4GcYgTsl6gn7Isk+90ohPjDq0k4fL7MQQCpFkstPh8DE1L469XXEFZRwcP7trFouJipufl0R4IcNdHHzHnlVe40NbGyeZm7p0wgfcuXOBnO3dyqraWwW1t7B46lKbUVFIsFpL79WPjsmXsLCrie6NGsea663hw3jxFwRiPcy4zk7FdXSD+Lk8oxC0ffMC2ykru/fhjrlq7liavlwnPPcfTR48SjceVU7a43gaBEP5g8GD2GI0sLi/HKkYGz584wYsnT6LXarl68GD1ZIwk4TSZsOj1HL7jDu4aN47K++5jbGamQpYXY0RJKJKNWi2SJNEdCBCXZZp9PmShDG3u6aHO46Gyq0u13mj2+fCFwyxfu5b7Nm2i3e+nqquLpp4exbvRbCYcizE9L4/xWVm8v2KFuilZDQYFjRIn+u5QCHcwyC9mz8as16OVJHrCYb62cSN/PXmSix0dVLvdDExJocbt5khDA23C5+3Xe/dS193N+6Wl/P7gQVp6erhh+HDSLBbOCnsOoE/Ga0wQ1jWSxIz8fLxiBKSRJLr8foUThmLx0R0MsuPSJbYnQs5jMeq6uzHr9fzl2DF0GiV2zqDVquPpbLudX86eTZbDwcrhw9l6003quLHa7Wa+MMXtnYDRJagEv92/n6VvvMFt69fTEw6TYbOxctgwAGYVFDCkXz9Cwt8OlPF4KBplxdChnGttpd3v5+7x41UFaO8QdYDvT5nSp8EDharRT/hn/vbAAYb068cVokH78PrrVaVlikASNZJElt3OhKwsfjV3Lk8sXMih229nycCBxBIUAq2WdhEp9Ys9e9BISlZomtXKuuuu44qSEopTUnh0/nyWDByIXqtVD569a7qw+tBptWqTl1ABT8zOZvngwfijUUxiw9VKEjeNHEmSyUSK2YxZHJSfOHiQF5YtI9lkUtM9chwOnr38ckBR6X4gNuL/mDFDaWYliYgQmEzOyVF/P3yWiDIxJ4fHFyxgYk4OS0tK1Ibku1OmkONwMD47m6XC4Ph3IovXpNOpPoCJkgRn8bYxY+hntXK4oYGOQACnyaQeAF4QquzilBTyRBza5ykf71x7LcP69SPNauWBmTPVJAyAJcXF5DudhITC/RezZ/OHhQtZVlLCjkuX1Oz0JJOJ3M/l3iaqorNTFX1JYo3pCYeRgStKSlhQWMjFzk7sRiPeUAhPOKzQRcxmrh48mPeuu47fzZuHSeT4gkL1+eOiRRS6XKSazbxy5ZU8IHxJe4um7EYjTy5ezIOXXcb1wpVgQVERW268sU+KCihiLVBskSo7O3nn/Hn0AnH/3pQp/HruXH4+ezbXDhnCyZYWVQiU8BtMeKu+cuoUB4X1jSyoBYnRfLHLhUVMJhYUFiJJErMKCnjlqquYIe5bXyRCVVeX+npuHjmSBy+7jNtGj/6Cx94/u/5ek7dckqT1X/XxT3mF/49WkculkrF9kQi3jR5NitlMcXKyelMkpvhxSUKSZbyxGGg0GMXC0RkIENNquef22/na979P8ujR3B8Kcd/EiaqAYXdNDbNeekkZ4cTjNFRUUF5aSr0YEa3ZsYP+Hg++iRMJ6/WkhsOkfP/7mHU6nP37U52djSUQoCcS4VxrK28NHcqVVVUEDAaqkpJotNnoCYeJx+M8vHu34t1lsZCUl4czGMTk9+OsreXA/PnIGg1T8vK4cfhwnCYTG8rLlQ04L49QLMb927fT4PWy7sIFesJhzJEImT6fou6TJJxmM+lWK6MzM8l2ODjU0KCOcaOyjFaWyfZ42PzaazT7fLT4fGytqqLV56O8o4OtlZU8PGsWj82bhz8c5oUTJ9h56RJdgvuVZDTS4vPx+IEDZFRVYddqmbhwIdl2O1eWlACofkvBaJSylBRFYScpcvyOO+9UmownnuDQkSNsq6zkbGsrP96+XT3Z37tpE+fa2mjx+Wju6WHt8eMQCIDNRoHfj93l4rzNhgwsKS+nsKEBg8+HBQXpMOp0fG3cOPKdTrLtdkamp/P+ihVsX71aXSjTbTYm5+SoFICwWKwT/l82vV7hQQoEQavRkGo2q3Yjx5ua1Htv88WLJD3yCBfa25WEilCIzkCADKuV6Xl5VIlkhURT/as9e5gnEOOIQKnzkpIY6HLREwphEMhCIBJRm3N/JEIgElGECmJE7Q2HifNZAkG1202riHH6RAgyJufkMD4ri55wmPu3b2djeTlHGhq4ZsgQnrn8cuKyzHXvvIM7EOC106eVcXN1taLoFocNfzTKm2fP8qs9e+jw+/GIjSyOsiH7w2HqPB51fKnTaKhxu7nY2YnVYFB87tLTudjRgd1gUPOWP62tVawsZsxQm4aHLruMDJuNJKORTRUV7KiuJi4rBrwz+/dn+eDBbL3pJqbl5anRhadbW9FIEktElNfx5mZWDR/O+pUr1TivaDzO7poaJmRn89zSpfxx0SKVXP/5NccTCmHW64nJMn84eJD15eVMzM5GK0kcamhgQHIym268EaNOx8j0dFaNGKH6nC0VTdq9EyYACrJp0Go5WF/PuvPn1fQRgGVvvsmB+nrahMo3ESIPqAKj3nXX2LEYhLI3rVdzetfYsRxqaGDdhQs4jEZKRHReus2mojpmvR6n4F+19PTgslg4cddd5Dgc5Ame8YScHDbfeCMmnY7S9nbGZGYyLiuLpp4eDFot+UlJZNpsDEpNJS8piavEGPeuDRu+VDX5zOWXc+fYsSoXtHeZ9XqeW7qUj1et+sK/JcplNrPhhhv4/YIFjMrIINfhYN2FC/x6zx6V8/Z1oToH+M28eaRaLEzMzmb9ypXqQQqUEWaS0aggXtOmqU3mdyZP5r0VK9Rr/8DMmSwuLuaj8nL1/S9KTmbHpUs8JuLQQEHDnzp8mJaeHnKTkrisf3+cRiMFTiePzp3LT2fM4FxbG+9duECy0ag27UPS0vjjwoX8cOpUCl0uzHo9Fr2e+YWFDEhOJsNmY1FRkdI4paQwo39/lglf0v9qJQ43BsH584vn944xY9QGDJQc8Fg8rhpiaySJAcnJ1Hk8asyfQavl3vHjPxNDyTKrR47k4VmzMAqh2tfFvZ/gcf581iwVhdRKivl4flISkXicywcOxBeJfIEe8c+uv9fkTUYxD94D/Bb43ec+/l3/xSpyudCLMQHAntpaJEniktv9BSKsRpbJ8XohFiMquCGdgYAy/nM4CGRk4DcYOFpUREs0ypMbN2L2eBSeVUcHP3z9dc6eOkXzTTfRPWcOc156iRVTprBd5NmadDra77oLiotJ6TX60rz5Jn6BCCHL3LVoEYfS0/lBXR0Ph0I09+uHwW7HajSSLIxgXz51itkFBQweO5YhoRDjzpzh9eJiviHsX15YtoxfzplDdyjEpzU1OE0mFhQVYTca2VZVxc927lSVY1GNBnMoxKS6OhxGIwXJyaSKDWBydjZvnz1LZVMTmd3dIMsMa2rima1bMRkMFDidSCjqxtO9Tqr7amtVpChhXdMkrFfeFlFU/miU1M5OfGYzj0YiOEwmfj13Ljtuvpmfz5pFqmhoBqWmcufYsfz8+ut5ZPFikidMgKuvxrd+PfFbbuHZY8cwaLX4wmHa/H5C0Wgfk2O7LBO7dIknzp4lbDJRcsUVaHJz8Wm1/GLHDka1ttJkMJDU0cELzc0kC9RClpUc4+uHDSMaj7OvtpZBn/PA6ggG6Z+crFjzCPWfPxKh3efDIRSF0V4mo+F4nI5AgGgsRrDXBuwNhxUhRUyJ0POFwwqKKEkcFypl+MzHrKKzk101NaptR5HLpXpWBUXTN/rpp1WlcKICImmlQ3B/Eif2SFzJYr7Y2akq8U40NWER/okJgnxXIMC3t2yh1e+nyetlZEYGYzIzaerpYdILL3BOjFW6Q6HPVJEoVjJl7e28dOoUtWKzSiBFMcEbdAsKRVyW1QZJI0lcLhIpRmVksLu6msWvv06j14sEbCgv56q33uLGESNYJPhlHYEAv5k3D6OwdgDFpFmv1XLrqFHAZ75+8wsLmZ6XRzQeJxCJMDozkxn5+RxpaOD1M2f6NEJVXV10BgIsE0jSlNzcL0UPEkbRXoHsJ+yHTre0MOeVV9hcUcGh+noqOjvJdTj42WWXMTknh3a/n2vfeYdH9u4FFJ6WXqslFI3S7vdzvLFRHVNl2GxcPnAgrX4/D+3eTXlHB/vq6rh748bPcoODQWa9/DIflZVR/OSTTH7hBf585AipAkEs6hVFmOCgSSiHsAVFRUiSxGLxv6Bksy4fPJi/iLSLuzZsIM1qZWR6Oha9nhVDh+ILh0m1WHh8wQIArh82jG9v2UJ3KMSQ1FQsIqoxwcG6VZho13Z3s7NX7FmixmZlcefYsV/4fKJGi/jIv1UaSWJ6fj771qzhdwsWEIhE+LBXozyll63VsH792HzjjTy1ZEkfpBGUsWWByFa9f8YMMmw23MEgv92/vw8/EFAaj3CYN8+cAZRpw8XOTt4+d45oLMZHZWWsLytT+Np6PZNzcnh41iwenTcPk05HrdtNU08P92/fTiAS4XhzMx6RMV7gdDJbJNpcaGtTEcPfzp+PUdzjmXY7j82bx/qVK//me/OPVkLAtvXGGxmYkoLTZGJAcjI3i+cpUemCU9rSSwGbLpDUBH8OlBFtIskp1WLhvokTmV9YiNNsps3v54mDB1X/wCvfegurwaDyVV1mM4NSU6np7uaNM2fwhEL8Zt8+bli37n+18CIDuB8YhjK6nQe0y7K8W5bl3X/zO/9df7McwiagOCWF2QUFHKyv58pBg0izWlWzS4Bch4MiScIWiWANhwk5HIzJzKTO46HV72dEerq6WZ5yOPhYkqC9naEtLcjA+NpaiiorybnxRi6eP8+Jfv1IEsq5bZMnIz30EOzbR2NyMkgS6b1Hu3Y7dy1aRKrFwvnMTI7m5lI5dCjty5Yx8957Gehyqc7wLrOZi52d1Hs8XD9sGLoRI8j2+TiXkcHa4mKqYzHa/H7Otbaqsn1/JMLumhrCsRif3HQTFr2e90tLicnCvFI8PJeXlzM0LY3mnh7SLBYlRcHvJ3TyJNnt7dx38CBpfj/DOjtxRKM0JSWpJ+xANMoDO3eqatxf7tlDtdvdh8cVice51NXFB6WlSuZvPE6T1crOQYMIGQwqwdhhNDIxJwezXk+ew8HM/Hw6/H4+cDh4PzeX/KQk+N73aM/JIamnh4bmZkw6HXXd3cgxJYInKviExS4Xvz5xgh6tlm8NG0bEZiOlXz/OtrXh0+v5+eLFHFu0iDTRcE06d45nBw/G1tnJM8IS5WeXXcbYzEy2VVWp0UygcBGbe3qYlJ2tmonqtVo6AwHCcSVNwKLXYzEYyLPb0Ws0dItx7eebgwRhOGEQK0mSmhHaIJzjE5mqxSkp9AjltM1gICg4TglDWKto9MOxGENSU1XLgWSTCcTIDBQ+oBrVJziJXsHLHJ+VhTsY5GRzM3NfeYXDjY1oxPe6g0H0It3FH4nw7NKlZNps1InTe0IwA6jcsmA0SkVnJ60+H3HRvCWMlmVZRiu4TRHhj5ZAIC3CXgFQI9ZONDfT6PWqfmW+SITXTp/mvdJS3i8t5fEDB7hrwwbafD41UikajzM0LY2RX2IBc0w8JxpJ4mB9PQ/PmqVu8B+Vl6tNdyIFIqcXX+nLKpGUkoh6Svz+DjG67w6FsBoMvHPuHHajkfmFhSzolYla1ku1rJEU3zJvKMTb589zoa2Ndr+fZuG/2ClGuD7B9SwTSSoPXnYZozIyCEYi3LdpE41eL+fb2tTfeej221UDX0C1iclNSuIXs2cjCzXzUOElB8pa+vCsWSwsKiLNaqWis5NwLMZLV17Jj6dPZ+25c7wgzGrHZGay8+abyXE4+KtQin9/6lQAfjxtmvozs0Qz4jAav5Du8z9RAz+X1PKfrfFZWXxSVcXE559n/HPP0eH30+D1sq2qij8eOsTTAh3MsFpxmc18Y9Mm9tfVsa2qSlU+v3bmDPds3Mhv9+8njsLzTTabafX5ePHECcw6Hb89cIBlb76JOxikurubJJNJ+f54nDOtrcx79VXmvfoqN73/vspXy3U42LdmDTcJPtzsggL1MPN/Wi09PRh1OnWcLUkSv1+w4Asmzwnk8+effqoKgRKfO1hfz7isLOKyzKaKClLMZjSSpHpsWvR67ho7lkgsxu8OHOCdc+e45HbT6PXiCYV47vhxDFotI9PT+/jfri8rY1tVFfMGDPiXCi/+5m+WZTkmy/JmWZZvBiYBFcAuSZLu/ae8uv/HK8tupyccpqqrSzV+TPgC2cXorTsU4pphwyjs7CSs1RKIxZiWl6daW2wUXCSDVstRvZ7tZjNz2tuZ29lJcizGgZwcnho3jvZIhHvnzeMXc+Zg1OnQajTMGTcOliyBXpB73nPPwd13w/33A5AzfTqX5s7lt+KU3BqJcF1eHrcePszk3Fw8Ak1MKPeavF5F8XfNNQwSFides5m4UDh9f9s27t++Ha8gZEdiMe7ZuJGmnh4Gp6XhEWrSflYraWlpXNbSwtiGBpKMRuo8HjJsNlp6evikqop2Waako4MZNTWk+P3kiFgtVyTCzJ4enBqNqrq7dsgQfj1nDu1+P9e98w6RXihSVCB6AWGLMLS1FZ9ez4GhQ7lz7Fh+JuwGQEnLqOjspKKzk4vt7Wyvrlb9mU40NyPrdDx9/fVEJAlNTQ1DNmzge7t3k9fczH2dnWxatYrjd93FybvuojQWIykaxZOdTVckwptnzyrZwZJETVoaLw0bhsbh4M9btxLv7GT+G2+Q19hI+dmz5Dgc2AwGvjZuHJVdXaxct45a0czsra2lKxDg8oED0Ws0GLRaBqemghAOFDid5CclkSJOpyHRxMBnCrlEBXs3XKB6W2XZ7dR1d+MLh7EZDLT6/bwheJsyiqmwVqNhRHq6kkzhdqMTFjD+SISzbW1qTmheUhLRWAyjoC/ERWOXSFpI+K9ZReKLjII+Hm9qotHrxaDV4hUjXqtez9aqKq54801+u38/50UGarLJpHIfU81mfjBlCoNSUzH38iHUShJR4V9n0evRaZUc4N7k+bhQQV45aBDbL10iHIuxp6amT7qJQ/Bh/ZEIfzl6VB0RJZSdzWJUb9bp8EUiXPxczFOiHEYjqWYzqSLO0CbI9u5gkJs/+IAhTz3F6g8+YO3ZszR4vX1GeF9WA1NSWFxczHPLlnH27rt5atEiMm02zHo9S4qLFfWwRsO5tjbVTFYjSbxx9dWAyBnt6FCtOfpZLJh0Oi4JdCfBV/zLkSOqlUZqL8Rx6osvMjYzk2eXLiUUi9Eq+EsZViuecJjC5OQ+LgOVnZ3sqK5mYVER769YweyCAnbV1GDR69UNuHdpJInvT5mCLMuUtrcrh8YLF2jz+aj3eKh2u5n0/POcaG7mw9JS4rLMjLw8rhw0iEO3385SQclI1OyCAlYMHcqRxsavTHz476re6mWLXq8ijv9oJXJrE4hRf+Fa8MDOnbxy6hTPHz/Of+zYwfK33+ZQfT1xWeb3Bw+qfLlmr5fvb9tGU08PXcLX8c1rruHZY8dY9uablAubmEvCM+5sayvpViuFgl6k0WhIt9kYmJKCR9wfoPD+JDHW/6C0VOU4/mcqFI1+5TPS6vMpymZJ4rF583jj6qsp7IUEJyrxDHtCIZU6k2j2vjFhAk9ffjkDU1JwB4PkCLV0b/7f18ePJ81iwR+J8Nv9+ylrb+dMayslf/oTb5w9S6Hwi7xmyBDVpmyXQIBnfEnO+T+z/m57KUmSUZKk5cBrwNeBPwLv/U+/sP8/VOJUnlB8/nLPHupFk/Tc0qXoNRp6wmHeamykISUFv15PLB7ngZ07KXa52L56NatHjuSbEydy2+jR1EsSXXo9VzQ3kxkMkt3VhSsY5EBuLmsWLOCi00k0NVUhTOt06ngKPlN7ugYMgNtug+XLqe3uZltdHS/Mm0eNWKwTwfOdfj8vnzqFSadjX22tagkSB6595x3u3bWLG596it/ceSfTJk4kzWLBZjAoaIqwhkioPoPRKM8cPcquS5fUAO0/LlpEm9/PpawssiIRAuXlpHR3ozl3DqfJhC8Uwmc0cl1ZGU9MmUKO10uZ0YhBqyXJ7Sbz0CHSmpuxiw1+3YULuMxm2n2+PkRjCfj8YKvdaqXTYqE0M5MrBMm6w+9nyeuvc9XatWre6bHmZjTi+pl0OtaeO8eyt95iWyDA3v79iUsSo+vrubuujuP79vHDzZuZ4XIp1/3iRc4YjZCRQUigQofq65VRNQpyMWvgQJ64/XZev+024n4/mvPnua67GwIBSsQoKFuIbGq7u1lfVsaOS5f45ubN+CIR1peVoRUeeFl2u2rFMaugQCWAF6WkkGqxfIEikAg+T1Riw0/w6PIcDtUw16DVUu12K1y+eByrXs9jc+dS7HLxqz17sIrr3B0KEYrF6AoGicXjuMxmpalobVXFIZNyctCKxIV0q1Uh2ovRaavfr+QoC1uRRLNX0dmJPxolHI3S4ffjC4c51tTEM0ePEonFMArxSiLaKNlsptDlYmBKCoFoFA2fLYRaSSLTZqM7FCIYjeIRoojEGM9lNnPX2LHcO3EinYEAzx47xsnmZpxGI8UuF4/Nm8eRO+/k7nHjMIsUlmg8TpbNRklKCv2FXZEkSQREmkEc+NmuXWyvquJ7W7bwg23b6BFE9tykJK4ePFjJmJZlsoRgKxyL0eLzUeN2s76sDI/wonv22DG+vnHjl3qf6TQaHp41i3FZWSSbzawYNoy8pCT+Y8YMFhcXY9Prqejqoqa7u49Z+8CUFJYUF3OqpYWV69Zx8wcfEIxGeXLxYlUA1REIEBAGs61+PzaDgcGpqWTabKoPJSj+YRrBYQWlubEZDEgoebYzX3qJMpFOclaQ4hP5wwfq6ojEYqSazTy2f/+XNgz9nU5q3G5+u38/jR4P68vLaQ8EeOnkSf585AgAj+7dyxOHDmHV69Wf/VVIy6yCAmRZ7pOD+z9RkrjWAM8uXfqfbgwm9sqffW/FChwmE3ajkQ6/n0avF284zNvnzqmiAo0ksau6Wr2vPeEwHX4/MXHA+trYsXxPqPTrBPUnyWQiHItRK5wEbAYD2QI9LklJwarX8/ry5fx81iw6g0Fqu7vVmMMPSkv55Z49qs/mf6bu+OgjVq5bx7peiOq68+dZd/48LT6feriZXVDwlYho7wlFwpIpkSySyKYdl5WFjLLH9Xc66RKTF1DujxmCm3ihvV1JxJGVFKUykc/70cWLPHXkCHtqaynr6OCD0lKi8bgaIPCvqr/Z5EmS9DKwHxgDPCTL8nhZln8uy3LDP+XV/T9eCYREkiR18TfpdPx6zhxWDBvGTSNGoBe+YuWZmYRNJlLFCbayq4tjTU28cuoU68vLFXWaWNgnZWZy5fe/zz0dHVze0EC7zcYRcUP7JIm2fv0YMGQIF0QY96/27GHtuXMUu1x9Hoa7Nmzgx9u38+6FC+om3yNyEktFrFmyyUQcRTXYmzR9oL6eDZcuMSwvj7KODh5fsIC9t96qhI8Lef4w8ZoCkQh/PXmSis5O1WH/R598QlyWOZKezpGCAkwXLzKovR1TZSVZ8TjEYoS0Wl685x4ODh3KxPp6zqeksL5/fz4oKuKNzEwyurvJam+H1lbKWlu57cMPqfd4kHuhVQkPpUTpAXMsRlCvZ0ByMocbGojF43xnyxa2X7qkJCEIjltbYlEU0H5ELICtPh8Hbr+dfj4f45ua1IQGAE6fBiC+fj3nzGY6gTSLRUG5xGvIEFFUD82axbS8PKQhQ7ggxmZLv/Y1UsNhJopR5/m2NiZVVJAXDLK1spKr336bso4O6j0ezrW1UShGdP5IRLXEWDZwILePGaOmoGRYraSZzWqzaxEWF0YhMnEYDEzKzuaKgQPJsdup7Opic2Ul4VgMi07HhOxswrEYd23YgFmkH1R2dTE6I4NwLMbhhgYGOJ3YDQaV93SmtVVp9sRINGGwXeRyMTknR/U+TJhzJ3IovaLBTtynibB5WZaJ8xkqG4vHqRVh6T3hMHajkaD4OXqNhsLkZIpcLmSUcWuCIyuj5IcmmqTEe5JocNMsFhYWFTEuK4vFxcW8dPIkkXgci0hrGZGejkaSGJuVpb5GCdSA+g7xnIDSbEri2fnlnj3ct3kza8+dY8elS8x++WVkWSbH4aDd76e1p4ePL17khRMnsOr1DHS5SBF+ZEHRvG+vquLxAwfYVFHB/rq6r1x3jjU28uKJE5h0OnbcfDOjMzL4tKZGHa02fQkqmFifABUxzhNost1oVGx0JIlRGRmUpKSQ63AwLS+PHhHDlxDjHG1s5Kc7dqg5z7+cM0e5JoKfHBa2OqAkYCRSHU63tPCTHTtwms1MER5vhz6XPw2ocVobysu57t13iQs6gS8S4XnBEatyu3EHg7jM5j4N6JdVscuFw2j8ytjD/87648KF3DJq1H9pdGvQavnl7Nk8tXgxeUlJ7Lz5ZoakpdEeCNAdCikUhmiUdCHq6u904guH6QmHmZ6Xp2aXJ+Lr9tbW4gmFuOR2E47F0EkSg1JT0Wk0DElNJSZ8OOs9HhwGA9eLvPKPyst5YNcuUsxm8pKSVATuPcHZ9Paiyfwj1RMOq2PfhMK+1efj13v38uu9eznd0vJ3EexEfbxqFSWpqaw9d452v5+tlZUsKCzkaGMjX9uwgTfPnFGtkgpdLmRZpl3k7HpDIR6bO1f1kYTP9m+TTqfymzsDAcWYX6MhEI1S1dXVh2f5r6i/55N3E+ADBgL39WoAJECWZflvk0D+XX+zFhYVcaSxkTafj9rubvKTkvjZzJksEkq6fKeTIpeLyq4utGKxy7TZVJuGH2zbBsClri5yHA5+v3w59i1b0DzyCAajkbuGDaOrs5Pn3n0XKRJRBRsao5FTfj8EAmytrOSJgwfRa7X8/HNk2Dafjwavl6Bw7B+bmcmp5mYlJ1WnIxCN8tbVV7Pw9dfxhsNY9HpuHTWK4pQUXjt9mm9t3szU3FzCsRhPHTlCpJeVR35SEnMLCthfV6ca6cYBSZZJE4kDBo2GTuAHU6aQ6vFgisdpsFiIXbyIzunEr9dzvLMTv07Hkupq9vXvzzMjR6IJh/FqNNRnZWGORDCEQqSFw9T19KDX6QhrtSCas8xgkEAsRodoTjWxGKZYjG6jka1VVdR5PPzh4EE+ra1VrW1MYsSXGNPqhf9bMBql0eslHIuxubGRq+fMYf2ECTwdCvG1xYs5+f3v88H27fyiqAjduXN0ulxoRNM+IDmZWo8Hp8nEw7NmqVnBoFgPPDVvHrNGjcI6fTof//KXaIxGmDqV8upqvvnuu6w2m1lw443IooEwCYf/rVVVlLW3U97ejl6rxR+N8sbZs7x4xRVsuniRDeXldAQCdAku5uScHK4ZPJgHd+8mzWKhprubfjYbL1xxBR+WliojR7+fbpFT6jKZ2FVdTUcgQLrVilGM6Cs6O/nL5ZdT8uSTyCgjixHp6Ty2fz+dgYDaiIGiWC5MTlY2FOHP1yb80NRcZ1nGrNWqSrVUi0Ud92ropUQX1ygajxNOkJ1lmdPNzQolQqMhJssUJCczJTeXPx0+rPwMjRJWHo5GaQ8EMGi13D12LGsFWpAl0DxJklRhwA+mTlWtW95YvpxNFRXqwaWf1Uqrz4dOo2FwaiqDUlOVU39HB7Isq2PJhIF0LBajxu1W3f9bfD6GpKVR092txPiFw9ywbh3ZDgeLioqYO2AA39qyhUvCIslpMvHI3r0qov7C8eNME81QRIhm2vx+koxG7tqwAVDEX81eLz//9FPVSFsrns/Uz9mvrBw+nDGZmaRaLLxw4gTNPT28cvo0Bq2WVGE6bNBoWDlsGBa9nuH9+qlqW4NWy8rhw9FrtWwsL6crGMQdDGLV61UuYrbdzpTcXEw6HceamlReacLO5ZG9ewnFYtw7YQJXDR7MlBde4Ge7dlGSmtpHqNHu96uG0yeam1Vz4hSzmY5AgAKnk901NRQlJ7Pzllv+LjdMkiRGpqdzuhfndUN5Ofvr6vjxtGlfmkn9X63cpCS+IdSb/5XqzZ/USBJ/XLiQtWfPYjcaeWTfPiKxGFVdXer95xJ8uhoxgtWLcX0wFqPR61V5m1a9nq5gkEm5ueg0Gqbk5nKurQ2bwUBFZycWg4Gpubm8d+GC6uV304gRfFpby5tnz/Jpba1qrpzgWP69SnA73xdGzonaW1uroo+J6n0A+VvVz2rl6+PHc9+mTaz58EP1tWyprASUay2L/x2dkaHyx3/x6ae4zGauGTJEdcMwaLUUu1x0BYNk2GzM6t+f18+cwR0MKkbLDgcfi9SMJw4eZNXw4f8yK5W/x8nTyLJsFx+OXh/2fzd4/+c1JTeXTatWsXTgQDSSkuE4qRfs7jKbVZ5QNB7HYTTij0RU6wRADQxf8+GHHOnsZNA990Bi4XG5SCosVDIyUbz5CpxOMmw24rJMvcfDXRs24BNk8oxevJCEV1hAJB8Up6QwKDWVqSKTMdvhoCApianCH82q1zMhK0v1fEqMvDZcvEhlVxcH6+v5zf79tIiNrzMQoF48ZDG5b8bf1ydMYEpurrpheq1WelwuGux2ylJTqXK5GNXcjEnYxBi1Wg73709RRwftYtEO6nR0mc3EJAlzJEIMBeUJ6XRIsow5GiXTYuEPJ0/y6M6dKmKTEggQ1Wjw6nTE4nHa/X7219ernLVCpxOHQC7MOh0dfr+SjCDI+skmEzFZpisYZPbIkVRlZnLYbObVS5f4Y0EBtV1drH7hBVY7HISEgfHXx4/HHQpR4HSSZbdzw/DhfRbssZmZ1FosvJOaij8WIzxzJnWHD8N11xHbtQsAh9/PTcePs/zMGaYGg/gjEV44cYJLXV3EhGI4w2olX6AinYGAqt7ziQxcrUbDtyZO5NuTJ3P2nnu4Y+xYLMLdv8DpZJBwgLcbDPREIqqYJRFllRgZJhmNVHR2KqkNghO5/dIlNly8qBremnQ6la6QbDLx/LJlim9YYyM+YYOA/JkZNCh8Qb0wVH3wssvU351YPPWC+yPBZw0eyoYXFlxBk1ZLjt2ORTQYQ9PS0AnhCYBGqIJdZjPjc3KUnydJTMrNRSMpiQUJfo/NYODVq67i3euuY2xWFj+dMUNVy1e73URiMVLMZqbm5nJcKIJdwtNQp9HgFHmdifQGl/hvrUZDjsOhJrgk/t0XiVAhIrmyHQ4aPB66hdjEZTZTJZSGEspYNJFT/LsDB5j18stc9847LHjtNXU0uaWyklvXr6fK7SYUi2EWaH28VxO6t7aWHZcu4Q2FGJmRQbbDwQMzZ/LgZZepnKNvTZyIXSB6GTYba0aPZnx2Nt+ePFkl21e73UzJzSUSj9Pi8yGjjNcGpaby2vLlfHfyZJ6+/HJVzLSpooL1IvBelmVqurtZOWwYK4YN62Ok3FtwBEqT5zKbVU7zmtGjOXzHHTy1ZAmFycnUe73kJSUp3N1/kPw/Ij2dareb7mCQYDTKg7t2sbWyklkvv8zjBw78l3hm/4wyaLUcbWqiyOVi4w03UJySQp3Hg1Wv54IYMUbicWqFgMqs1ys2TGL8nizSYFJFvuvu6mp0Gg3vCTsbg1ZLt2jWp+bl9Wm27ps4kXFin2rweEgymbisf3/1EPK3KhyLcfkbbzD75Zd58vBhADatWkWGzcaxpiYOi1zZhEDnq3Krv6ym5OZy38SJX2g2E/nZicPG6hEjGJCczAM7dyp+oT09NHq95DudOI1GhqWl8dKVV/IDwQFNEbFs+UlJxONx7hLKa7vRyG+Fpc2/qv51ko9/l1rfnjyZ706ezA+mTu0zv3eaTOgFEd2g1fLdyZPJsNvV/Myvjx/PW9dcgzcc5nRLC2+cOaOapyZKI0QcGkliel4ekiRx66hRPDJ3LoCqBEw2mbjp/ffVze6D0lKFryTGVNcNHUq61Uqzz0dXMEiT14skSZxqaWHzjTdScd99DE9Pp97j4eHdu5WTnl6v5Dv2crRPjHOz7HZOiZN2XKA1oCxMpW1t/HHRIjbdeCPvXHstj86dy7cWLcLrcBADIlotVSUl9Ag+kFmnU4K5S0roNBios1oJig2rxW7HbTIR1mrpMpmQJYkMn48l1dU8uH8/S5qamNbWpiz8Gg2WcBi/aJLDoslNNA7pVis2o5FQLEaaxaLmMYZFbFJnIIA/ElERqrs2bOD90lLKOzp4WuTi9vf7WXT2LEEgaDDwwhVXMDk3V1FuzZ/PxhtuUBG8RCWMYn+zfz+P7N3LQ8XFXDV+PD6tllmvvopJp0On0XBVaSnf3bOHn73/Pv3FfZRogsKxGN+dMoX8pCTqurvJ+/3vWV9WxjcmTCAiGq8J2dlcJ8xH84QwI8Nm4xezZiFJEguLinhvxQruHDuWmOBW9oTDzCkoYER6uvr+nGlt5UxrK1sqKugIBNBIEg1eLw0eD12BAMUuF9Nzc9Vxt91gUM1JE6pTrSQhiddu0ulUtWtYCCOWDx6M3WBAJ5oSUCxCfjFrVh9lnQT0E9FGSSYTJampJFssHKirY8W77yr5rwYDg1JTGZCczDWDBzOsXz9eW76cbVVVqm/ahbY2DFotr5w6xZOHD6vE8sFpaey4dIktFRVc+eabPCia7i6BVrqDQdIsFuo8HiUWKh4nw2rFajBQ7XYzPiuLNKtV9RVLNplo6elR84jjsqyS4TXiwNfo9ZIpDmqSJJFkNJJkNKrPWWI0/cdDh/CEQl9Qh87Iz6ef1aqiJDaDAb2IyUqk4rQKvt99mzax9M03Wfjaa6pKGeB3QuG9euRIFhUXkyPEV71HZy6zmXsnTsSg1VLZ2cn8wkIWisOLXhwAZFlmUGoqt44ejUaS1IPHL/fsARQrmXZhP9RbPfyL2bMBvtBgtfv9pFosXLz3Xj66/np+N3++IjIrKGBJcTGTc3JYM3o0L115Jf9ojczIAJSmuFTwBRP1xpkzvCqa6f9ttbe2luaeHn7+6ae8e/48fjEqTTKZcBgMBKJRDFotVmFYrEHJbzbqdMRkmQdmzKAwORmnycTFzk504rDRKVB8dzCILxJhZEYGOo2GV666iqH9+nHX2LE8efgwXx8/nl/NmcO2m25i3XXXMSE7W51agYK6P3noUJ+s6Vafjz+Jxi5RD112GWnigLqruppPqqqwGgw8OHMmozMyVG7dP1o3jhjBi1dcwcYbbmD54MHsuuUW/iLMshORaS6LhWcuv5wpubnqPZ2Ih7th+HA+Ej6Vk8X9+s7587xz7bV8d/JkYrKsODFkZ9Nf+Az+Kw2R/93k/S8oh9HIyuHDuW7o0D43Q8IJPMfhQAI1wcEbDrPn1lu5edQoPKEQGklSFXwNXwKHt4ux1hMHDxKORplfWMjVQ4Ywb8AAilwuhqSmMqt/f8ra25nzyiscbWzk+ePH6RYjvBSzmQ6/n5tHjUKn0dDc00OS0YhRp+P29euZ+uKLaqTPxc5O1QMsTQSW3zZmDDHh96VBIbgatFoavV5VfJEIF9dpNKp1BCgqzTvGjOG+iRP53pQpSi6qVos/EsGk1WIXPkWSwUCXaCDdJhPdwgV/QHIyXU4n7VYrcYFgDG9r48E9e7i+shJ3MEggEiHdYCBfo0Efi7HA6VS5Xa1+P75IBLPI2NRIin9Su9/PoNRU0q1WNR0i3WZDq9FgNRhUMrksy9hFJJssSdxUX8/sc+fwazRgs1HscqmLXpHL1QdNTZRFr1dRhxPNzezweJCzszlkNBKPxwleeSUDfvITCoJBcpOSsKWlqU77Xxs3Doter8aElXZ0qLySh3fvVhuKFIuFEZ9bLB1GIw6jkScOHSIaj7O/ro5ch4MkoxGtUO3KwCNz5/LjadOodrup6+7GpNNxrq2N723dCnwWW5U4xS8pLqZdRIsZtVq+O2UKLrOZ4f360e73qxupLMukW62UCB+zZIFsh2Ix7li/vg+fUitJ2IxG3jx7VlXmgrLAjc/Kop/Vqo6fmr1efrJjB3FZyUIen5mJJxRixdChvHnNNRy+4w6GpKVxpqWFFUOHMiUnhyFpaawYOpR6j4ef7dzJj7dv57Rw0P/N/v0sf/ttPrp4kUf37eNwQ4OKqkViMd4vLVU4OsIVv6KrS0Uryzo6cJnNLC4uxm404hKK50vC5seo1dLh99MRCKjN60unTjH31VcBhU9pEtd6aL9+fHfyZAqTkzEJo+vZL78MwOMLFrDz5pu5ZdQoPqms5EhjI1VdXdgNBlUdPzYzU+VwPnvsGMP+8hd1A47JMletXcuN771HZyDA9kuXmJaXx70TJvRRuqZ/jh+lEePthP3KyeZm5g0YwJ+XLKFamEr3rky7neKUFELRKJkiUSTBL+wdabWwqIh+Viu7amqQZZnXT5/mpZMn1SbPbjQye8AAlTdl0ev59dy5PL5gAfeMH69OCf6RGio8KB/bt49fC6/AX8yezd41a5iYnc3ev8F//K+UJxTqM9n4spLFer6hvJzQV5jtnmtrU++ZHZcuIQPzBwxg75o1DOnXD0mS8IZC+CIRwrEYKRYLozIzVc7od7ZuJRCJcLK5mbgsU9nVhctsJsNqZX5hISadjn4WC9eI7OG9tbWMSk/no/JyXjl1iuPNzcwvLFRydo1GlT6Q8FvcV1vLSydP8lCvuLafbN/OG8LDD5T3eYngDuf3Qgo7/H7GZmXx3LJlXxjfJqo7GPyC6TYo9+SI9HTSbTbunz4dmwBBPr31Vl7u1fwnm838cdEiNt5wg+p5eOOIETy5eDEZAkUcm5nJYkGv0mu1XCv28F/u2YNH5IMfaWj4UkPtf1b9u8n7X1xjMjPZdcstlH796ywbNIjzbW30dzqp7e7m3XPnGP300yx7802sej0F4gGoFIumLMt8Z8sWfrd/vxp5E4rFqPV41IdlYnY2Oo2G4pQUfr9wITMFYnTXRx8pajKhxOrvdHKxs5MhaWmsHjmSQSkpJJlMDO8Fk9+/fbtCOhWoQ5HLxYLCQuKyzE6xwDT19FDZ1fWZl5kgAidGhQnC/6mWFpXoHJdlpr74Ir/es4ceEV4+PD2dDLudIpcLq8FAeyCgyPh7fSRI8gsKC5E0GrRi7CgB+/r3Z/UVV/DCt77Fo3PmqH/z6pMn0Wk0nP8cOTgqlGW/X7CAw3fcQZLRyMCUFE62tKg5ug1eL17xUFt0Ou4eN46G736XrTfdxCc33cQAp5O8/HyMLS2ku92sqqkhNykJp8mk2tf8LZ+zhNFrdzCISaejSZLYITZUx+WXY1y1imJBxt+clgbxOI8vWMBto0czu39/NJLEr/bupdXnQys4hFVuNz/btYuYLJNhs33BQDRxSvWEQvx2/36+uXkzJ5ubafB6GZeVxZKBA8m02Wjq6VHI4kIcYTMYaPR6qXK7FYf9lSspTE5GFnYp35gwgVSLhXwxAk6oKX85ezYmnY64rHjqpVos/HzWLLSiUci22xnerx96cRBIJCSkWixk2u2ca20lJisGzMUuF29cdRV2k4k9dXVY9XqcYqHuDARo9/uZkZ+PBNR6PGgkidvHjFH/9u3CtHrugAE8uXgxr1x1Fd+bMgWnyUQ4Huets2e5Z+NGPqmqUlA7sYhHYjGmvvgiTx85QkwgpP5IBKfJpKLW4ViMUDSq2i4ALBAImk6MoxO5xT+YMgVQ+IsO0VwnItfisozTbCYukORtN93Ew7NmMSYjg6gsq3GGiYbmspde4qWTJ9FqNPhFo98befvN/PmsFahfwjsvsTXdNGKEak2SUJreOGIEkiT1Mf1N/5JDytC0NM63tVHe0UFnIMAdY8Ywv7AQ4AuTB0Dxm0TJ95YkidfPnCHdZmOUQNQSlWmzUdbezonmZn5/8CB/OnyY5p6ef5iI/4+WUafjfhFKX9nZqRi4iyZnWl4eNW73l0a1/Veqtrub2S+//AU06/N1vKmJ106f5jtbtjD1xRe51NWl+iWCQsE4UF+vRuuB0tzcPX48GTYbP5gyBbNOhz8SwSgslpwmE4/u3YtZpyMieHlVbrdqgZKXlITNYCDZbOaWkSPpCgYx6/Uqh/z+7dt5/cwZVZF6tLERTyjE7Jdf5i9Hj5Jlt7Nq+HAONzTwy08/5dp33qEjEKC8o4PvbNnC88ePc0Ks+xOys3lg5kwWiPsE4O5x43hy0SIA5hQUfOn74o9EeOvsWe4UkZW/P3DgH37vLXr9lzaMkiTxy9mz+dG0aWraS+9/u1FQEk40NeEwGhVVfa/74cHdu/+N5P27/naZ9XqKXS7qPB76O534IxFu/vBDKrq66AmHicbj6DUaxmZmUtnVxac1NXz944957fRpXj19GrNOpyJB/khEHckmeF/XiAik/5gxgwWFhYpvWixGdyiEUatlVEYGlYKw+53Jk3lu2TIAFhYWsn7lSix6PdVut0o07Q4GOd3SwieXLhGXZc4Jy5JILIbdaKS0vV1V0pmEvYUEqnt4h9/P7evXc661VXU0f7+0lLKODgalpOAym/GFwwzt1w+XiOO6c8wYZXMEcux2RqSnk2Kx8ElVFS6zWeFSCM+miNHI+fR0nvR62SSML6eVlrLkwAEs4TBHxabZ++FwGI1qnufXx49XMxBLUlPxhsN4w2GqRFrJPePH88jcuVj0eiZkZ1MiuGx1ZjPvX389DqORCRMmMCglhWg8TkVnJ+nCr+yrqtDl4vEFC3CLUbknFOLtESMwGo1kTZkCFgvcdBMy8E5WFni9jM7IQJIk5onTNCipAQVOJ5ZexsSpFgsHb7utDx8UFMHH7WPGEI7F1JHfT3bsYG9tLUsHDuSBGTOwCO+0NR9+SLrVSn+nk4EpKegkCZfJxB8WLmR8VhbLBw+mv9OJSacj2+Hg3euu4/cLFnD9sGHsrK7mZzt3UpKayvl77iHdZiMcj5Nps3Hr6NG8etVVaoSWVqPhmiFDSLdaCQt7lEfmzOFPixapNi16rZZfzpnDcvF1QSHm0AjSeE84TFgIHUakp2PS6Ui1WNQQ+zafj5dPnaIkNVW1tQBllOQwGhnocrGoqEgJkN+8GW84TD+rVRn3C4pCXNzPWQ6HKoxIZJMmOHcJtHFGfj6zBwzgwcsuU7NCM6xWch0OhvXrh16r5Fln2+1oJYmC5GRFJCEOS1aDgVXDh2PU6Wj1+dgrrEZsBgOyLDMiPZ3vbNlCaUeHSs/ITUrCqNORm5SELCw1TgpRlUZSIpqybDYyRMP0xtmzDBHNYkLVOig1FVA2ul/NmaPGKX6+Rmdm4hfmxwlOcaoIn094DfauBOex2OUiEotR7XYzNTeXH2/frr5+gJ+Lke2dH32kfq7a7f4fsaxI3L8AD152mbppJ9CpzwsE/ivV5PVy43uKO9n++nqqurrYVlnZZ0wOyjq6/dIl1boG4Osff8zi11/nSEMD0XicX+3ZQ73HQ3lHB+k2GwahXk484/MKC9XJwYqhQ/tYtiSbzUq+dSiEQ3AbXULJne1w8P6KFRQkJ+MOBilMTv5Cskei2Sxtb1eVsS+eOIE3FOLygQORZZk/HDqEVyQBnW9rY2d1NU8fPcrcAQPYf9tt/HnJEpb1yggGhYYwOTeXrTfdpF77z9cLx4/z2/37VcP9/fX11Hs8HGloYJFIpPmv1OTcXK4ZMuRLrXaKXS5SLRb2CUT34Vmz1H/rCYeJxGL/UiTv76lr/13/SyrH4aDD76c4JUXNWs11ODAJQ9VGr5dRGRlc7OzkO1u2UO12q75VFr1etcToDASY+dJLasrG5Jwcqjo7+dbmzRxvalLyO0MhNVj+vokTGZKWxuGGBpp7esi02xmTmck7115LXlISWo2Gb0+axC/37CEvKYmvjR3LHw8dolI0Z8kmk5IWIFSNVoOB7mCQjTfcwO0ffYSEsoCERMM3q6CAl06eRJZlbv7gA+4TPkugLIK3jhpFtZD1rxk9mvKODkZlZDAxO5t3zp/HGw6T73TSz2ql2u1WVa8Jqw2jINJrxGZ5MhTiwx/8gFnJyex77jkqHA6iQkShEx5zoCRnlLW347JYuHX0aNaeO4dGo+HPixcz8umn+1yr3ogQKCfoB2bO5HhTEz+dMQPdLbfgjkYpX7+el06e5HhTUx8xzVfVpJwcQrEYDV4vdoMBfV4eu996i8LEInvffQTWrIGHHuKyYFBV/t08ciTPHz9Oh9+vOsOnWiw0CyubMZmZX3nSLPmcnUNiAb9t9GiVO/jno0dVBBmg3uMhJymJW0aOVMnRD8ycic1gUMdQNoOBGfn5TMrJYXdNDb89cIA/Hj7MZf37qxy7xcXFaIR1w/3Tp7O+rIwWn49rhgxhb20t3nAYk1bLraNHExFIl05SHO+TzWamvvgiEWEy7gkGGZaWxv3TpvHKqVPkO53UeTzcPHIkL586pVp8vH/hgsoH+75A0RKVyKXVabW0+f2UpKbSKA4yBq2WZJMJk15PpKeHuCwzv7CQTRUVCore3a02QHqNBrNej1aj4Ybhw1VF5WunT6vKeavBgFGnY+3580zIyuKgCLJPHI4SgpQMq5U6j4fnT5yg0etlZ3W1yo3rCYf5/YIFjM/K4meCK9jc04NRq1UPjlcPHqxyo1a//z4mnY5ilwujVsvHq1ZxsrmZ723bhoQicojF45xuaVFoAaIBiMsy47OymPfqq3xQWqrmpSZqTkGBMsJvbVUNq0Ehwb944gSP7dvHT2fM6PM9cVnmQns7t3zwAQ0eDy+dPInDaGTuK69w+cCB/HjaNHZXVxOIRjHrdISiUdWrL4Gs/HfXL2fP5kJ7u9rYgdIsXz5wIC+fOoU3HObH06b9l1GbH37yCX5BdYnF41z3zjuAIq7bcMMN6tfd8sEHbKmsxGE0EhS8zcRz+cyxY4odTjiMOxTifFubGiH4+IIFakOmkSR+M28eXcEgVw0apL7mH27bhjsYZF9dHXFZJtViISbLdAeDeEIh5hQUYDUY2FZVhVWvxxsO82FpKTtEnnSikkwmTjY3842PP1Y/9+i+fTx02WUsKS7mdwcPKl9nNCr+mdEouUlJ/GjatD7Cmi+rrxLMnG5pYYNQu19RUkI4FmNTRQVXvvWW+jVPHjrErwUf/b+rEilAB+vrkWWZy/r3Z8MNN9Dg8bDkjTfo73T+S5G8fzd5/5dUwjvpJ9u34xFGqYlFNrFoflxRgVaSSLda0UgSNr2eaDxOhs3G+ytWsLmigns+/phGr5d9dXVoJYk9tbVsCoeVk4Yk0dzTQ1zA7VeWlPCDqVNVjtTFzk510y4Q3B2AqWLRu3HECBYXF/NpbS2VbreaXHHTiBE8e/w4jV4v8V5K2jWjRvGb/ftViPvucePISUriTQH567Va/njoUJ/3YX5hIW+fO0cgGqWf1crsXrD9FSUl7K6pwR+JUJicTLXbjUaSGJeVRXlHh+IVJymedgkEzW4wsHzFCganpfGdlhY8ojm1CgUkgFmnU5rjl19Gg2J7EYpG+emMGXSIUbFWcPVcJhMP797N7xcu7LNYLSspYVnCUT81lW1ijPCsEGQkDDk7AwG6AoEvdW2PxuMYtVqy7HauLClhZ3U1R5uaWJP4AknCDaDXM+PgQTh/HgYOxGowcNOIEYwW3LNH9u5lSm4uWkniaFPTF+wyetfM/v359qRJ5CYlkWqx8O7580zIzsYu1HVGnU5t8NavXMmDu3ZxvKkJs+DldQmVHiiB6Z8vg1bL5JwcdonkkJNNTYSiUax6PZsqKrhmyBBGZmSwfPBgrhw0SEHCJIk3s7N5r7SUZLOZBq+XHIeDwuRkgtEo396yRf35DqNReV8EuvzWuXMYtVq6AgH0Wi39nU62r16NVTxLzwovNVDQjkTFZZnnjx/HpNMxNjOTfXV1FAm3f5249ntuvZUN5eXMyM+nvrub483NbK2sVKkSCZuSURkZvLBsGXdt2MAbZ86QYbNx7ZAhVLvdTMzJocjvV20cEhYtJSkpBMX7EopGCQrSvN1oBK+X2u5u/nL0KBk2G0PT0tBKEtUCAXps/35lwzabaQ8EqPN41PWkorOTidnZ1HZ3E47H0UoS61euZGN5ORk2GwuLivj44kWy7HbWXbhAZVcXXcEgq0eOVN+b548f589HjnBR+Fy2+XzqYQIUKsZj8+ax9M03FTX5pk28etVVXDNkCC+eOPEFT7/bxoxhf309Oy9doryzE1kQ2RO1obycDeXlAHiCQfLT0xW3AGFf1PE/pHYtSU2lRKCXvev7U6awv66O9y5cYN6AAYwXsX+fr9L2drLt9q+0Xbkk1h74zIsQUNM2YvE468vK2H7pEgGBToPCcbUaDLx7/jwflpXhD4fVpkIjKR6s1W43FZ2dzOzlCzjrS0aej8ydyzvnzqHTapmUnc1Lp04xIyeHNr+fys5O7hwzhtmvvEJNdzcOo5F2v5+ff/rpF37OnWPG8BshzpmWl8eQtDSePXaMww0N/GzmTH538CBG8fydamlhYnY2D82apfJm/7PV0tPDXRs2EInFuGnECL45aRKvnT7NpoqKPl+3raqKlg8/5OnLL/+7zSTAd7ZsQa/R8Oi8eX/z64b168fHFy/S4vORYbPx8O7d+CMR1cz8X1n/Htf+X1JTcnMpSU2lqquLIpeLb06axN41a8gTOa0GrZZYPE53KESb30+W3U62w0E0Hue6oUOpdrtZVFzM3AED0EoSl7q6cJpM1Hk8dAYC9EQiKkKIsAJ5+cor1fg0UDaEL6t+Vit7br2VJcXF3LVhA+fb2lg5bBjfnTyZN6++mtvHjFHzeBNB4L/cs4d7J05kcm4uNoOB/k4n35o0ifykJAqSk/l9r1if6Xl5NHg8qkjikIilSWyAiSp0uTAJL7NbR49m++rVZNpsnGpuJhqLqShCP5Hf2O730xUMMiA5mZaeHsJWK1qTSTGknjuXPGFpkmKxEI3H8YZCtAqkU6PR0M9q5WB9PcPS0ti+ejXPLV3K9Px8DjU0sPlzi0vvisXjqjcTKKkVVwwaRCgaZf6rr7JCmLiCMl5PLPh13d14QyH+Y8YMfjN/PlcPHszZ1tY+6Qb1Hg9oNDgjEVi9GiZNgqYmvj15Mpf178+ykhL2rlnDb+fP50Zhtl0jMkhB4UiVfy6jdNWIEczIz2dIWhoPzJzJ4wcOcPMHHwDwRK/rlGW3q43ciPR0StvbuWvDhi8lP/euhF2HU9iLFLlc3CaSCE42N/PiiRNUdXUhofBeXj19mo5AgEnZ2ThNJk40NfFRWVmfPOJE/Wb+fLbddBMFTiedwSCP7dtHP5uNaDyOJxQi1WIhSViXfFhaSptARIo/h2Buq6zkdEsL90+frm7SR5ua8EciuMxmnrn8ctJtNm4bM4Zkk4l7N2/mtdOn0Wo05ArhlCcUUhG2/k4nw/v1IxKL8fiBA1xyu4nG46waPpwNN9zARytXqhxZgD8tXsy8wkJcFgsNXi/+aJRxmZmkWSxqw54wcs6y27nkdtMZCPD1jz9mU0UFySYTj82bR35SErki5WJGfj4XOzuVBlsc7DSSxMCUFC4fOJAukWe8tKSEb02aBKAiiYt6WfwkGnRQuGC9m+xEjRdiK4NWy/66OtWvbXRGBq0+H+vLypBlmUavl1SLhbkFBQQTiKUkUevx8J1Jk3h07lzmFxaqnMV0m41WYclSmJxMitnMP2MwtuPSJbqDQR4/cIA7N2zgo5UrSbFY+NH27fx2/36m//WvfZ6juCxz43vvMeeVV750dBeXZVWwlqhExmviEDb/1Ve58f33VUPhFLMZh9HIpooK3j1/HpfZjD8cxqjTqZZPAO9edx25wjrp79Xe2lp+uWcPr5w8yROHDtEdDDIyPZ2R6el4QiHOtbURjsUIx2K0+/1KDKMss6ioiOeXLePD66/n2aVL1clEstnMEwsXcuuoURjEJGm7QP3yk5L4eNUqBqemcqqlhWvfeUflkf5na3NFBZFYjD8tXsy9YvozVXCKE5V4TadbWvqkHv2t+rSmhu2XLvGJ4Oh+VSUUvsebmqjt7uZwQwOHGxqIx+OqOvtfVf9G8v4vqQS8vuzNN9FrNCwfNAiTTsc3Jkzgx9u3MzM/n09ragBUg0ZQGrCXTp5kW1UVH15/Peuuu46nDh/m8QMHaPJ6sen1+MXIQ4PiRdbPaiXNYsEgGjOrwUCW3d6nyYvF4zx15AjXDR1KhuCTPXP0KOdaW/nelClc+zn+QuLUZNPrWVhUxJ7aWpa88Qb5SUnUuN08vmCBEu0jxAfuXg/7tLw8nj1+HE84zPPHj+MymTAL/lHv+tq4cYxMT2e2MFm+8b33aBdB3RLKiPB7U6YwMz9fWcBCIXzhMLNefpnlgwej02gY1q8fNW43+wXS+YtZs3jyyBHaRaQWKErDAqeTs62tVHR1MSE7W9loNRoWFxcz79VXOd7U9Bly97l64cSJPtYPYzMzOdzQwEu9In9axYnw25s3c6ypiYO3387hhgZa/X7+evIkN40YQUlqKusuXKBFjNHjssw9GzdCLKY0eYl67DH43e9AXI+Hd+9mbGamimT1hMOs/uADfjZzJt/cvFm95leWlPDtz6FvoWiUzkCAzkCAGreb8dnZfGvSJFXFNyg1lT233opZr2dXdTXf27qVA3V1fRAEAG8oREREmxl1OrLtdnpCIRq8XsZnZ/OrOXPYV1fH5ooKtlZVYdHrv6DcvH3MGDZXVKjqvByHg2aRBDK/sJCtlZXMLihAQuFU/eXoUdr9fsZlZuINhznV0qJuoG+fO8dvBap8/bBhXDNkCB+VlVGSmkqxy8Xe2locRiMLi4pU4UHCF/ClK69URUhxWebODRu45HaTZrGwuKiI821t/HDqVJ46ckRF3a97912OiBFsnsPBynffRZKkPuPxiTk5LB04kNvGjCHH4WBidjbjn3tOiafTaLjQ0cHv5s9n7oABvHX2LN/ZsgVvKMTRxkbcwSAaFCsXXyRCflISVwwaRD+rlbOtrSwtKaGpp4e9tbWq1+Oq4cP5tLaW1e+/jzsYVBT3HR00er3sXbOGxxcs4Nd79qDTaFRbH1CajcT73hkM8kFpKQfr6pgkNtm9tbV4QyGser2amHPvxx/T4vOp6SIP795NMBrlsX37uHzgQPYKA924LJNptSr2MmYzcwYMYFpeHgfq69U1IC7LtPT0cN/Eieyvq+N4UxNbKyvRaTTMzM//bw+HL+/o4AfbtpHjcKiCi85AgLvHjeMXn37KW2fPAnDDunXkOBwMTUtTR/IJS5yN5eUkmUwsLCriUH09P96+Xf35aVYrRcnJ3D9tGq+dPs1Lp06pqmxQDlAmrRZvOMzXxo2jKxBg7blzlLa3E5VliEaxGwz8YeFC5ggawrwBA3jxxAlq3O4+KtXeJcsy396yRbHuAYLCHiVh2h+XZfVgHY7F1KxigJ/OmKEKY7IdDuKyzF1jx6rKWL1Wy9OXX86aDz9kfVkZ2XY7VoOBpF7j41g8zidVVczq35/S9nZV+PVlr/Ph3buZkZ+vopFnW1vJTUrqwysuSE7mj4sW8eyxY5xtbWVidjZXDRrEf+zcSUVnpxqlV5KS8oX1KfE3JupHn3zC0Tvv/NLXAwrKm2a1sr2qihqByHYHg2iFDdW/sv7d5P1fVFl2O4fvuIPS9naGCFn/7IICdt18M08cPEhlZyelwlG/w+/n9wsX8syxY0qj4/FQ2dlJocvFlYMG8ei+fTSLlI1ks5lwLIZVryfNauWecePU6KBE9bZBACVO65VTpzjb2spv5s3DYTRyvKmJof36kWmzqbl/iRu8v9PJhfZ2zHo9NwwfzonmZsUawu9nel6eSvxNCBDOtrZy+5gx/OHgQbb1OkWtu3CBpSUlStTT55o8i17PnAEDkGWZD0SMTpLJRKPXq5gVazSsGDqUfKeTq7q7OVhfj8NoJBqP8/a5cxS5XPx2/nyWvvkmpe3tjBU+SPvq6mgSG05QZMsOS0tTT6STc3KY+PzzPLV4MRNzchiVkaGemv985AgX2tp4cvFiQCH1P3/8OItFIPz6sjKSjMY+3BWAGreb2u5u1U7mQlsbL4omsDsY5Ge7dnHloEGAMubJtNtVkQpmM85oFLZuhbVr4YUXYMIEGD2a8ocf7jPuyrTb+fWcOdy3aRO3r1+v/n5fOMzrZ87Q3+nkql7jht73wMO7d/PCFVd8gQOVEJBMEGOri58bEwF8c/NmTre0MCI9nWONjfgiEZxmM93d3bjMZrZUVtLc00NZR4eactG7ovE4zx47pqiN9XrMOh3NPT1sufFGzMJk+j9mzFCVhfdPn87+2lq2XbrE2bY2CpxOQmIRl2WZY42NyLLMb+bNY2xWFocbGnho926STSZSLRY2V1Zy7ZAhaCSJb06cyPm2Nuq6u7l68GBmFRTw7LFjFDid6DQaDtTVYdBqyXE4+M38+bxy6hTfnDixT7xRTa/RXL3XS35SEiYhhEiUzWDgZ5ddpv5/rUjlMOt0ipGy2cxj+/Yxv7CQG0eM4PvbthGNx/EJWkIkFsNqMOCPRChOSVE5r4mNsdjlUpoOrxeLXs+Tixfz4K5dbCgvR5Zl9tfV0SOSEJpEBu/cAQNYe+4czT09mHU6Xjp5krNtbYRiMXRCtd0TDrNm/XqKU1J4Y/lyviUODk6TCaNWi7e7m101NZSkpGAzGBSFvN+vJmQ8ffSoirpb9HqGpafT5PXy3PHjOE0mkkwmvCJqam5BARsuXqRRjOyXlZTw8O7d3C+apnvGj1fzaUFpzB/bt4+7x41Tc1f/M+UJhbhh3TrluvVSUO6preW6oUN5/MABeoS5uCRJ1Hs81PdyNABlIvKMoGkcrK/HFw7THQxi1OlYd911FLpcfFhaypVr16KVJDyhEHNfeYV2v58Us5knFixAr9XiDYXUdXPtuXNEhWAMMWVY1eu5XDpwIC+eOMGJ5mbMYpoBCs/5Z7t2cfe4caoPXEIdm+1w8PNZs7AbjapC+8OyMqx6vWLeL7xI0ywWfrlnDxa9nvmFhSrn+Q5hCJyo4l4UlIcuu4yVw4cDinHyHw8doiQ1lV/t2cOvBCd26003fSn/7mJnJx+Vl7Px4kUO33EHAGfb2lTz5d41JTcXvUbD3Rs3sri4mAybjd8eOMBbZ8/2GYl/cP31X3A3aPqcSKMzEPhKPqBGklhcVMTLp06xW0QEukMh3KEQH5WV8bVx4/7bDxv/aP17XPt/WWkkSW3wEmXW60kXsUsZQuWXyGbctGoVa6+5BlCIr6AsCKkWCylmM39YuJCVw4ax6+abWTViBFNyc7lhxIgvuIiPTE+nxu3miBiVJh6Q401NzHr5ZWb89a8camggEInw3a1bWfjaayx78031+5++/HK+L3zuxmZlqZ5dgGqAm/j7FhYWsrmigpXDhmHW6zna2IjLZFJRvhtHjKCf1UrbV3Bv3i8t5ZXTp1W0TK/VYjMYcJpMai7mNUOG8Oby5X2EHT+YOpUch4P3rrsOgGNNTax4913GZ2eTarVS4HRS4HSikSRae/3uhPnxTpEAMCA5WbGIiUR48cQJDtTXq9zChOfU9cOG8Y0JE3h07lwONzaqPyuhDDze1KSgcqJufO89jjQ0kJ+UhNVg4OOLF1Xl2iVxwk8kEJCRQdJf/gIuF9x1FyQ8wU6cYNfnOI4zhfhhca8ovTGZmXy0ciVTc3P55Z49fUQVCaX09Lw8zra1qSrjLyuLXk+23c6+2lpONTdz9dtvc//27dR2d3O6pQUZONzQQEVXlyIG0OnIsdsZlJrKT3fsoDsYpCccxiDizHoSSRjA96ZMUb0Vq91uVWX48qlTWMQm9Hm1sk6kHHSHQjR5vRi0Wp44eJAffvIJO6ur8Uej3LVhg4JcCbSurKODD8vKCMdiFLtcHG1sZMkbb1Dv8bBi2DCeX7aMOz/6iGePHePH27fz9Y8/xhMOU+RyEYxGaenp4QdTpyoq4Llz+eOiRfgiETyhkIpuJ2xV4LM8zNrubvW69i6j8JIcnZmJXmwavz9wgJdOniTLbkeDcgjQoDQZdmG74hGq1AN1dfxw2za2V1WpI+ma7m46AgHGPfssU3Nz+fmsWVw7dChn29pUHu0lt5sfbNvGZoGQvXrqFMvXruX+7dvZV1uLQaNhzejRdIts565AgAaPR7XEAIUf2RMOq9SNnnCYm0aMwBcO09zTw/qyMuKyrI4jY7ISGTirf39yk5Ko7e7m3k2b+ozaLi8pob9o2M06HZcPHMjd48ap/76rurrPePSF48fZXFHBCydOfOV9+7fq4Jfk5QL86fBhApEIfiGCC8Vi3D1uHNcOGUI/q7UPteRYr+d9Y3k5r505Q08kQigWY29tLfUeD7/eu5eecJiuYJAGr1dNChqZkcHEnBzGZGYyU5jsuoNBnCYTRS4XRcnJfGP8eMx6PW0+H12BAJ5QSG1of/Hppyx87TVONDVR7Xaz9M03Od7UpI71h6SlMUtYLnX4/dy2fj3tfj/9rFaVa5jtcJCflMSv5sxRxX+gKO+3f06A0bvMej2Hbr+dT2+9leuHDVM/v3rkSI7ccQePCDurRCX2ms/XVkF1SQAIrT4fbT4fQ7/C+3B8djZH77yTTLsdSZL6eJMm6nhTE+vLytjWi0aTaOITQpu/lV9c43bT5vfjFvd/ci9u4baqKvW5/lfUv5u8/8fqO5Mn8+Pp0xXkTDQBA5KTuWbIEM62tirye7HA97NaCYhQeKfZzP3Tp/P05Zd/QRIPioExwN0bNxKXZap6bUC+SISzbW2cb2vrs4DFRSICKGrOBy+7jL1r1ijh85LEDeIkV9hLxAGKN1k4FuPKtWvVpvaaIUM4duedvH3ttRS5XKRZLLT5fGqj07ueOnxYXSBlWaYwOZnlgwczq39/ldyskZSoqu9MnszqkSO5fcwYlbNRkJzM4Tvu4OvjxxOXZXLsdopFgL1NiEROt7QwJiODm0eO5B1hL3KiuZkTTU30dzqJyzJPHz2qvqZXTp3idEsLZ1pbMep0DBRWMGOzsrjY0cGE7GwO3HYb761YQW5SkroJTRQLazAaRQZevOIKXhAWNk8cPIg/EmFvbS3BaJTnjx/Hotfz9QkTcAwdqvxijQYeegj69ycsSXxSWUmhy0WW3c7i4mJ+MHUqoCy0l/Xvz0tXXMGzS5eSabfzM2EVseLdd3lMHBDOt7XRz2rl2qFDicXjfZC9LyuH0cjb58+z4t13qXG72VpZyQmBTo7NyMCk06m2OFPz8sh3OlX+S5JAftKtViQUM+VGj4fv9VK9mnQ6nEYjsiwrfNRe6G4sHuebmzaxpaKCA3V11Hs8LC0uJhCJUCHyoF86dYqnjhyhyetV79WXTpzgjTNnSDGbafX5CImM4s0VFWo258TsbK4fNoxILKbaNYAyHi1wOnnz6quBvsjn3AEDGJyaikaS6AoEGJ+drW5USwcO5ONVqzjS0MC758+zfO1arn3nnS800Uatlqgs90GRNooIs5KUFIpcLlxmMwVOp+IjKEQhUdHo3LtpE9svXeKHn3yCy2wmIIxwE3Yur54+zaLiYkrb20k2mfBHIpR1dHBUPNcdfj+ZNhu/O3CAvXV1hONxYkJYsru6mml5eUpkneAD9+YyJZvNOE0mxSBXkojE49wwfDjXDBmCXvgJVrvdxEQqSIrZTLrNRqbNxvd60QbKOzpUYcGlri6GpqUpTYlIV7ltzBjVFup8WxtHeq1JCT7vq6dO8dMdO776xv2Sissyb549i8ts5vAdd6iozh8WLsQfibCzupr7Jk5UTaxNOh0/nDaNBYWF6mtwmkwcECrM2QUF/197Zx0exbn24fvdyMY9IUaAEIJLcHcvLlWkLXU//Xqqp3Iqpz31U/eW0tIChWLF3V2LJIQEEkLc3Xa+P97ZYTcEa4FQ+t7XlSub2d3Z2Z3NzDOP/H7klJZSoQeoDkLw9KpVPLFiBY4mEysmT+b7sWPpHRFBfS8v7u/YkddqkQ6xCkq/O2QI2+++mylt2yKAm375hUEzZtB/+nQmzJ5Np9BQwyJuwpw5TJg9m9KqKk4VFHA0KwsHk4kPhw1D6D3ZQgiKKioY+sMPPLd6NauOHzcuuhxNJvo1asRzvXoxrnlzbtSPNwfT0/l+/367/0NbHHSZoZrTpkII6nt7GwkJgIO19M1tSU422lpOFxYy7McfeWbVKoCLFriuzev2/W3beHn9ep5ZvdpIDlj/x57RJ373paXx5ubNPLZsmV0pt8pi4f7ffmPJsWNYNI1WQUFUVFcT7edH57Aw3tNbkeqKOgnyhBBvCSGOCiEOCCF+FUL46MsbCiFKhRD79J/PbJ7TQQhxUAgRL4T4QOifmhDCLISYpS/fLoRoaPOcqUKIY/rP1Kv9Pq8mI6OjGdy4MdPat+eFPn1oGhBgd8UbExxMRXU1t82bx/qTJykoLydd7w15fdMmZh48yKEaTfy2WK/wAG6cM4fp+/cT7e9PQx8fUgsLDY9bs6MjY5o1M65+rL06teHn6sr8m282mrqttAsONsoR5dXV7E9Lo2VQEO7OzkTqAaF1ys02kAKpx2S94gp0czOavV8fMIBwLy8OpqcbpUorj3Tpwn02V/8gg8DRejl0X3q6cSDtHBrKwMhIcsvK+OnQIb7Zt4/EvDyOZGWxLy2NuxctIl0/wM08eJA29eqx7vbbCfH05F9r1nAsO5vGvr7G5O62U6ewaBr3d+zIe9u2sTA2llttrnLfGTKEloGBRtayXXAwUX5+RsavuKKCtSdOsO3UKSqqq3mtf3/uiImxP6h06kTOjBlM69qVhFOnGLVzJ/PHjePfffsaMiiRvr68PXiw3eSfn6urMfU7+9AhKqqr2XLqFK2DgozgpLaD+enCQm6dO5f9aWlGubm0qso48X6xezeF5eXGfUIIdt59Nx8MG0broCB2nj5NalERXmYzD3TqxKimTWkWEEAD3XO0X8OGJOjq+28NHszktm0ZGBlJflmZkUmwaBprTpzg50OHuGfRIsb+/DMVVVU08vGhrKqKSn3wwqJ7NANGCWuOXrYK8/LC0WTC18UFdycnDmVmciA9nTtjYvAym3lk6VJjOtoq2to8MJCBkZE09vXF28XFEHq2slufPG7g48Ox7GzaBwfj7OBASkEBvi4uPL16teEIANDnu+/sTigmfcgKMLKvVpoFBNApLAxXJycmt20rbdA0jcH6Z1Oz/LQ4Ls5Yt9WVxF13RzmalUXnsDD8XV0R6DpnFRVkl5ayJD6ezJISqiwWAtzcaOjjQ1N/f0Y3bcrsiROJ1N9bbFYWX+/Zg0XTGBkdzS2tWuHk4MCdMTE83LkzPmYzKxMS+OXwYaL9/dGQF4wmIa3a3G002npERPBMz56ALI12CAnB2cGB/23fzpbkZDydne0GHUY3bcqaKVMAjIvdoooKjuXkMCgyktNFRczYv/+slo/zcSQzk4Pp6dzXsSMmIZh3003MHD+ebvXrE+Xnx6sbNvDRjh0000Wct+tOBxtOniSvrIwoX1+aBwTw27FjpBYVcXOrVjTy9TVK5qlFRZRVVxOXnU3X8HCWx8dTUV3N24MH0zU8nBf69KnVp9X6vjuFhuJlNhvHSNshhqT8fEY3a8bnI0caYtwaEKD3jJVXVxPm6UlZVRX709P5R9euhv8qYEi2VFosJObmEurpSainJ2ObN+fZXr34Z/fueJnN7E1L44Pt2xn2449n2kcugcZ+fnw8fDhB7u52LQ1WrBqN1laVzOJi9qen46JfOF8M1mOXtX+vd4MGdp+V9SL0VEGBUdpuU68em5KSmHnwIGsSExk8Y4bx3fl4xw7jtp+rK4czM2kXHMze++5j7dSpdkoUdUFdZfJWAq00TWsDxAHP2Nx3XNO0dvrPfTbLPwXuAZroP0P15dOAXE3TooD3gP8CCCH8gBeBLkBn4EUhRN1+2leQQHd3/jNggJGFaxUUxKHMTKNU0TMigvre3uxNS0NDfoHzysv5RT+hbUlOZur8+XxzjjKGEIJnevXC383N+Od1MpnYkZKCty6nAbLX4l+9ext9MAtt+pBqI9zL6yyVcbOjIwtuvpk3Bw2iX4MGODk4GP/cVvo1bMjAyEgO27zHNYmJfLJzJ+XV1Uxp29ZOe85XF00GDH/RC2E1j7ftCQzz8jJO6BZNI6ukRNqC2TSfL9D7AUGWgD2cnXmiWzdOFxay8/RpO7HWLcnJuDo6sjk5mdmHDvHy+vUMatyYtVOn8vOECaQXFbEzJYX88nJpYaX3wcy76SbeGzIEd2dnCisqeE1viD/XJNe8I0c46uXFW4cPc9vq1ZgOHbqoq8u3Bg3CW596vW/xYvLLyrghOtoYgki3OUkm5edz76JFfL5rF3HZ2UxbuNAo5VhFon1dXVl38iSnCgoQQvBAp07G0A3I73FGcTElFRX4u7nxav/+vKnLF1gnsx9bvpyFsbE08vGhf6NGvDFwIF+MHEnroCCOZmVRUVXFd/v2MW3BAgrLy8kqLSWnrIy4nBze150ETEJQrTu6VFksFOgyQv0aNuRkXh5uTk5sTEpCQ/bCVlsslFVVcbqwkGXx8cZ3wlr+f7hLF9ZOnUpZVZWhixWpu9PYkmKTHfAym0nMy8NRCBYdO0bM558bQuW2WAeqNE2jpKKCQZGRLLzlFl7u148Phg0zeiJHRkcbmd5/9uhBIx8f6nt5MU7vqXxWz1xZ/1dnHTok9RYdHJgWE8OI6GgS8/JIKSigymIx2iK8zWaS9d6y3NJS/FxccNKdOZ7v1Ytne/bEwWTi/k6dcHF05LbWranWdSnTiovJKysjr6zMCEbqubtzY8uWOJhMvKtLCeWVlSGQjh+NfHxIKy42SlzWsnKU3tOVXVJCEz8/Y7CpVP//W65PtC+Oi6Pf9OnMO3qUeh4exkTos6tXE5uVxcLYWMwODuSXl9uV56xYNM1owbBlY1ISJiEMtwUPZ2ei/f0xCcFHw4dToWd87+nQgXHNm7NHL4la9Tqj9Iw1SNHu3+LiDHkUfzc3onx9CfHwwNfVldFNm/LO1q08snQpLYOC+G7MmLM8ra3EZWfbiXnXbFOwBobpRUUcz8nB7OAgs7vV1RRXVhLp64tJCLJKSvh6714cTSZuatXKLjMWExxMmJcXvi4uFFdWGpUdK0II6nl42FVWJsyefVETvTXpEh5OTHCwMdRhS3JBAY39/Hi6Z09mjh9vXOhYrTIvhltbt+a/Awfy4bBhLJ80iXeHDDEyygDPrF5NRnGx1Pv08kIIweDGjUnKzycpP5/jubnsPH2aQTNmMO/IEbanpBDl54dJCKN/OLKOAztb6iTI0zRthaZp1m7qbUD4+R4vhAgBvDRN26rJM/r3wBj97tHAdP32L8AAPcs3BFipaVqOpmm5yMByKH8TWgUFUVBeztZTp0gtLMTd2ZkbW7SgtLJSDli4uRmDBHllZUbJ6VebAMUW69Xy8kmTWD5pEs4ODmxISiK3rIy2eubNWRc81jSNUF1Pb+bBg7U2zl+IIHd3+jZsaJSZ9qal2V3ZCSHoGRFBXlkZ42bPZv2JE/x7/XoC3Nxo4udHnwYN+Nkm9Q/YGddfjPK5SQj8dN9eK038/IgJCTFS/jmlpUT6+OCn+6oObtyYUwUFtAgMxNnBwZiW7NWggWH5ZO0ttGgaW0+doqSykq9s9NnGzprFvrQ0ovz8iM/JoUrXhntaz2RY6aX305VWVnIsO5v/DhzIad0Nw0pGcTHJ+fnsTEmhkasr/azZDn0C8EK4OzszLSaGkspKDqSn069hQ3pFRODu7Iyb3vcDMgB5ad06dqem8ptN/5E1Y1lRXY2X2Ux7PQgVQpBTWoqXszOujo4sj4/nPxs38r0eNLk7OxvC3HDmoOnn6sox/T3YZh1NQtA9IoJqTePDHTt4feNGMvRAwctsRujZoWK93GSVbbE2mVdbLIxv3pyFsbEUVlSQlJ9v/K+EeXpSabHg6+pKtaax8eRJ/N3c6KtnttsFBxPs4UGh7qRh/W6EeXkZXtIV1dUsio3lwx07MDs6Mr5FC0M02HqRk6gHA9+PHUuzgAB+GDcOF0dH43/zeG4uhRUVjIyONv6/utevz2Ndu7LtrruM4RarYXzLoCC6hIUZ/VgH09PpFRHBlmnT8HZxITk/n4KKCloGBtIiMJAOISFklZQYDfiRvr4sue02u/aNJn5+hHh60jQggOFRUdzbsSN3xMSwYvJkIxN6f6dONA8IoNpiwaSX/jYmJRnrDfPyOivr4uzggIeTEyEeHqQVF5NfXo6nszMb77jjrOw9yMDv6Z49eVTvqc0qKWFbSgoH09P5bt8+Cisq+HjHDiK8vFiTmMgDv/3GDwcOEOLpyYOdOxs9YY8vX86zq1fzxIoVJOTmUlBezpiff6bLV1/xxIoVpBQUMPfwYR5asoT1J0/SOigI71q03ALc3Iys9y2tWnFr69ZYNI0HlywxNA9PFRQQZDNpOe/oUeP48WiXLrw9eDBeZjMv9ulj+Dxnl5ScV+7DomkcSE8/6/P8YNgw43j3Qp8++Lq6si8tjbe2bJFC3ELg5ODA7e3a8X/duuEoBBnFxcw7coQBjRoR6ulJ1/Bw6R08bRpfjhrFrzfdZATenWvRAqzN2u3OBQs4mZdnl2W9GKL8/DhdWMjU+fPt+iCTCwqor2fYo/39GdK4Md4uLnbDNRfC2cGBAZGRUjNVn65/vFs3nu7Z0whsn1u9mt2pqTTTP9eBkZE4mkxU6lqlIFsF/rNxI8n5+aQVFUnbUN1usFv4eUOaq8q1MF17JzDL5u9GQoi9QAHwL03TNgJhgG0q55S+DP13MoCmaVVCiHzA33Z5Lc+57umuj58/snQp3i4urJ4yhYktW/LF7t1E+fnx5ahRtP/8c3JKSymrqiIpP596Hh6kFxWxJjGRvnrzLcgrxUeWLqV9SAivDxjAP5YvN1T3PZycSNVV9E3Ozry9ZQtvb9nCwltuobcu67IvLe0syyxbNE3j0127+D0jg6d69MCk9xF9v38/O2yab59bs4Yfxo0z/h7epAkH0tOZd+QI/7diBQBjmzblh4MHZRO6kL6C1pPuba1bk1ZUxPyjRzmalWWcKM+HtXzdr2FDRjZtSs+ICATweNeuLI2PJ6O4mI+GD6faYuHuRYuMpvKbWrakX6NGhtZYC91t4bWNG+mifxYpBQVGc72PiwtvDBxISkEBMw4cYFFcHL0aNOD3jAzKdeHbHSkpZ02sNfX3p6K6Gl8XF5wdHLht7lyqNY3XBwygTb16jLZRex/ZtSsMGQKvvCKFki+SljaDPnd36GBk3YLc3UkvLia7pIRfjx7lQHo6/m5uFFVUSOkKIXikSxeeWLGC7SkpxGZl2WVF88vKeEPv9bPi5uREfS8vI2uxLy2NnhERfDNqFCX6IMOSY8eYc/iwXaZW0zTaBgVRXlXFs2vWGBZ0Jn060dFkolQvUT3Vowc7UlJYc+KE4S9bXl3NBzt24OPigkXTSCsqMrJ4yQUFeJvNVFZXU0/PbJVWVrLuxAle6dePWYcOMfvQIcNv1Oq9GubpSUZxMcdzcnh5wwZjaMVqKO/j4sLj3bqxIyWFpceOcaqwkG7h4UydP5/Reom6VVAQv2dkUFFdbUwd1layq81OzCp+3NDHBycHByqrq2mu78sG3t5sKSigqKKCeu7uRPr60r1+fd7eupWf9AuA+l5eeJnNjG7alLicHLzNZnxdXbm/Y8ezdARtpw7dnZ1p5OvL7xkZRm+XlfHNmxuPbR8SQgNvbxLz8tibmoqrkxNOJhMhHh4U6wMatlkpF0dH4/Ow7vtJupTQtAULKKioYNKvvxoi6Cfz8zmRl4cGhhj60z168ECnToAMoBYfO8bXe/cS5ObGvrQ0bmvd2rgAXHfiBM0DAvjUpiXkoRrepVaKKyp4c9AgUouK8DSb8TSbaejjYwQ3zQIC2KFbjjmZTPi5ulJZXU2opyev9OvH2ObNjazekytXEurpiaZpJBUUMOXXX+nToAGdw8KMidQq3XmkTO+ps74nK93r12fTnYZMOg29vdmoDxN1Dg3lZH4+HwwbRvf69dE0ja9Hjza+X9ZjtRDCsL4E2U/3Ut++HM7MNLyHbXm+d28Wx8VxV/v23LlgwZl9Pns2AFunTTPaAi7E+BYtWBAby6GMDJbHx9M1PJw9qakk5uba+db2iIhg1eTJl63n7aPhw/l+/36jomVVFvAym+kZEUFqYSE/jR/Pfb/9Zlx0WVsenB0ciPb356727fF2cWHF8eO1fk5XmysW5AkhVgG11Y6e0zRtgf6Y54Aq4Ef9vlQgQtO0bCFEB2C+EKIlUNsetDaPneu+8z2n5rbegywFE1FDOuSvSpC7O4917cr727bZTSmWVlUZml5fjxrFY8uXc1oXGi6pqMDJxYUnV67kxT59GKmXQ6y9PHtSUxk3ezbFurZVblmZLE0hT4b1vbyMK9BRP/1EtcVCckEBdy9axJimTXmud2+7bBrIqbQ5hw8bDebvbN3KluRkhkVF2QkGg1SMf23DBno1aMDB9HR66n06BzMyOJadjb+bG6f1kmmIfsVs2+/n6uTEE927szA2lvicHDu3jHNxf8eO8j20b293wpnWvj3TbOzLNE2jfUgIG/QDaW5ZGW5OTry8fj2rEhJ4d8gQejdowJLbbqPaYuG1DRv4cs8eMktKaODtzT+7d2egrmmVWlTEL4cPM/SHH0jKz8fs6EjrevXYm5ZGRnExAjiSlUVMcLD0oEWKJj+5apVRHnti5cqzSioDoqMhIoK8+vUp+fVXAh59FOeLsFNrGxzM4926GeUpK039/Vl+/DhrEhOJz8lhSOPG/DRhwlmTZE/37Enf6dN5cuVKiioqMCGlWworap/MbR4YSLinJ1tPneLLPXtYHh/PjtOnmdymDY4mE0/17Mm09u3tAotnVq9mqZ5BrLJYaB4QQFFFBeX6UIGm7yMvs5mHOnfGJATvbdvGuhMnKKms5PeMDArKyykqL0cgM29CCJxNJlwcHekYGsrBjAxcdbkWq/3U82vXAthlW6zT79ay/E2//ALIiwwN7HSzbm3dmnHNm9MiIIDpBw4YQfCW5GTyy8rYffo0x3Jy6Dd9OrmlpbQIDGTekSM08fe/YHkq0N2d3fHx5JeVsey221hx/DhDoqKoqK4mOT+f5IICmgcE0LpePZ5YsYLZEyfSwNubw5mZdAwNNTJWz/TqxerERBJzc5nYsuVFecM6m0yygV+f4H902TJa16tnl43+YuRIQApNb01OJtDdHWcHB6L8/BgUGcmnu3bZOaaAHC6otlgMRw0hpPOPWffAjs/JwSSE1N/UsypVFgvo5eNeNlI+X40aRbvPPiNN1+tLyMsjv7ycFoGBHM3KwqJprKghgmtraaZpGr8ePUpMcDBT589HQwYDL/TuTZfwcO7p0IEn9IvPHvXrsykpid+OHcPTbOaJbt0orqxkzuHDxnHI6vZg1eS0Bu6VFgsbk5LYmJRkBHkzDx7kg+3bjXKl9aK+oLycI5mZhHt52UnEDI2KYm9aGpPbtOEOPetlzdAKIRjXvDl9GzZkS3Ky0Y5SG8ObNDmrF9TK4MaNGdy4MWVVVXw4bBivb9pkVzE5kpVV6wVKbXiZzcy/+WbuWbTIOKfMOXQIX1dXO7cV6/ZfLjycnZnUpg3f7N2Ll9lsiBwDxmfaITSU/w0dyp0LFhjZy4be3kyKieGHAwfYcPKkUZkJcHO7KMvKK8kVC/I0TTuvQZw+CDECGKCXYNE0rRwo12/vFkIcB6KRWTjbVFA4YB2ZOgXUB04JIRwBbyBHX963xnPWnWNbvwC+AOjYsWPdOQlfZibpUih3LljA8B9/NE5M1pR0TEgI02Ji+GD7dqOk5eroSGlVFQfS040gL8XmH9UajAnkSez1AQPYdfo0C2NjGRIVxZS2bZkwezYZxcXGJFVCbi4f79xJlJ8fU3XZlNOFhVRbLHYCwEHu7obFkdWOZniTJjzWtStvbNrEmsREfj161Cgpb09J4fuxY+mkT6gKZF9em3r1arUFA5kNiPD2NnTNBl3gSmvsRVrSCCHoGh7O7tOncXF05GhWFsn5+cbJ/5nVq1k1eTKuTk5sO3WKHw4cMIYpbmzZ0u51HujUiYLycmYcOCDLOb6+9GvYkBXHjzPz4EF+OHDAeKymaTiaTOSVl1NZXU2m/rmnFxVxKCODoVFR3N2+PQtiY+kWHk5heTnzCwroXFaGecQI/JcuPSOxch6sk9C29G/UiOXHj1NlsVBpsbAjJYWVx4+zOC6OF/v2ZUdKCp/t2iUlJaqqWGUjr+BlNjMyOpr1er+ZFVvB0YWxsby8fr3ROG+VobmxZUs7K7a0oiJWJSTg5OBAiIcHeeXl3NexoxzwqKjg/o4difD25o1Nm7gzJsYIEF7VJxUPpKfTRRcZdjSZcHJwwKIHhEOjoticnMzHN9zArtOn8dTdWawN/zV5rlcvo/zar1Ej7u3QgY1JSXQOCztnFsjF0ZF7OnbEycGBT3ftItzLy5BxySwpMZrd88vLqaiu5kReHp3DwuyyLLXROSyMxXFxjJ01ix/GjWNMs2Z8umuXHLoqLibEw4Nne/Y0sqkz9u/n4c6dWZWQYDfB/MqGDYY8jwZ299VGWVUVR7KyMOlB8ubkZD4ePpxQXcKiJoMaN+bJHj34UM+EjoyOpk29eny6axeDZsxg3e23GxaONXXKUgoKWBQbixCC1/r3558rV/LGgAH4urryyvr1xOtOKRbkZPLDS5YYmmieZjOPdOli9CoCVFZX8+agQQR7ePDkypWsSUyU5b1GjdieksLsQ4d4tlcvQA6jfLprF23r1aO4spK47Gw8nJ15aOlSNtx+u51jSd+GDfnv5s2YkMMtVs3LzmFhRjBt7RO1DpxZ1QCKKyow6+97TWIi/Rs1MoKLr/fuJcDNzfh8HtP1Jxv5+jJn4kTDu3xc8+Y08fenVVDQOeU8/FxdGaGLF1unyQdGRp73YqLKYuHdrVuZ2KKFMWBw18KFHM3KYuEtt+BkMnHTL79QUF7OvrS0iw7yrER4e7MmMZG0oiI2JCVxQ5Mm5+xNvFxYA0wn/ULFyr60NFoFBWHW9SY7hIZyMD0dNycnJrVpw30dO+Lq6MiXNq03n+zcyVe6GkJdUVfTtUOBp4BRmqaV2CwPFEI46LcjkQMWCZqmpQKFQoiuer/dFMCaD14IWCdnJwBr9KBxOTBYCOGrD1wM1pf9rWgdFET7kBAjwGvo42Nc9YEsI4AUIR4RHY2G7DHanpJCtX7iXnviBG5OTrw9eDDuzs68N2QIz/TsidnBgXbBwbzQpw8/jBvHnbpp/ZM9etArIoIPhw0j0M2NZv7+WDTNKL0WVVQw6qefGDtLVum7hofjZTbzjxpTtgCT27TBz9XVsFz7R9eufHLDDcCZHjur0nqwhweOJhNfjxp1Xl0iay/VM6tXG768l4MG3t4IIXB3dmZZfDxjZ80yhjHKq6r4dt8+8svK+G7fPmNgIdzTk3/16mV3IJ17+DArjh/H39WVqW3b8lyvXjzapQuezs6G1qEVIYTRY3mqsJBqTcPF0ZFgDw/u7dCBp3v2pIGPD4906YJJCPpNn85C/UCek5uLRf8sbTmi66PZUmjT52elf6NGTB8zxig/uzk58eaWLWw9dYpl8fF8qfsVw5mTs+BMObONzZDIj+PG8f3YsXbrHxYVVWsD88m8POYePsygGTPYduqU3T4Mcnenqb8/X+3Zg0kIVkyaxGNduzK+eXN23H33WWWtNYmJ/HDgABoYwwTN/P35dPhwYh96iP8NG8bOu+8m3MuLMc2aMSAyksZ+fnwwbFitJyzbFgBnBwfu7tCB78eOPWeAZ8sdMTGsu/12bmvdmiqLhQ937DBO3kUVFUR4exvZno1JSXauKbVh/Z6XV1UxZMYMxs+ezff79zPvyBG6hYezbNIkOoeHSz9gk4nlx48T6O7O4926sSohwfifs/0u1BwksWVfWhqPLl3K3MOHKauqItzLiyzdxqpVUJCd0POJvDyeWrmS8qoqTuTl8eGOHWiaRuewMLrVr2+neXboHD1pO1JSGDtrFnMOHyYmOJg7Y2JIf+IJ7u7QgZHR0TzerRvfjhqFg8mEr6urkTHbahOc217kuTo6MrlNGyPTag3SuoaH80r//uSUljLvyBFO5OWx/dQpIyiNz82l2mLB09kZgZRt6frVV4ydNcuYAvV3c6N1vXoUVVbaZbBte8mKKiowCUEjX1/CPD05lJmJi4MDPi4uxvqtF3gZxcWUVVWRr1dg4Ex/Hsj+y2kLFtD722/lBbAQtKlX76L12uYePswLa9dyx4IFRntBbSTk5jL70CEmzpkDIAX5s7IoqaxkxMyZ+Lu5sWbqVALd3c9pi3k+rL3lI2bORIChrXqlWRgby8c7dxqT9wm5ufyekWHnSPP1qFFsvesudt97L//XvTsuesXFyo0tWxqtFnVJXfXkfQSYgZV6pLxNn6TtDbwshKgCqoH7NE2zfjPuB74DXIGl+g/A18AMIUQ8MoN3M4CmaTlCiFeAnfrjXrZZ198GoevM7UlN5Y527bgzJsauZNoxNJQX+vShS1gYJ/PzWRwXR/OAAPalpdHlq68A2ezat0ED+jZsyLqpUxFC8LqucG4tizazaYru27ChcYKZc+ON/HL4MO9s3cretDRyS0s5ZDOBFeblxYfDhlGtZ6RidGmEj3bsoKSy0sjIjWzalL1padwQHY2PiwuDIiMNDbJ+DRuy4Y47+MeyZTQPDLxg+v72du0wCWGYozerxXT8j2AtY1nLLKW6XdzrAwbw5ubNfLVnD0+vWkW1puHu5MTDnTuTmJfHgBkzeKVfP3o3aEBpZSUf75Rf2UGRkbzUt68hJeHr6kqxPgVqfY/R/v58P2YMt8ybB8jA18lkwqJp+Lm68uuRI0xq0wYhBKl6wJlUrx6uXbpQun07p/LyCN+zB9O2bcQ3bMgyf3++04cfrD07H+/Ywbf79jEsKopOYWHGVGNyQQFuTk4cyshgUuvW7ElNJS4rCxcnJ55fu5Zqi4V2wcGcLizkLr20Pev333FycODdIUPoGhbGh3p2rjbjdycHBz4fMYIjWVk8snQpNzRpwm/HjhGbnc3nu3eTW1pq5xRyX8eOdAgJYdupU3y9dy/TYmLs5AtqfivKq6p4cuVKQA6xTGrdmsySEpbGx3NTq1bG536u79NnI0aQnJ9PeXU1axMTcXVyOqc5/cXi5uREiB4oZpWU0DMiglN6T2CIhwe/3nQT/1i+nGXx8SyLj2dK27Z2gt4117Vi8mRiPv+crNJStqekUFFdTbXFwvtDh8pM9owZALw+YACvbtjAlF9/JcTTk+M5OdzaujVT27YlLjsbkxC0Cw4+b5D3wG+/UVFdTVxODk39/UkuKKCwvJwTeXmMnTWLpbfdZqj+P758OUn5+dzaurWR7bZeCL68fj3fjRnDs7168R99gKY2fv79d/zd3Hitf3/j5Gv93zM7OjK1XTs0TeO7/fvJLytjxtixjPjpJ7sBgRaBgbwzaBClVVVsOHmStSdOcG+HDpRWVTG4cWPic3IY17y5nOJHDhf8b9s2EvLyOJ6byzDd5q6kspIQDw8cTCbyy8tJLiggPjeX3adP08DHh85ffsm9HTrw88GDmITgng4dGNW0qV3pfsmxY8Z3dECjRhzRJ8VNQoAQJOXnU1Bezq9HjrAjJYXCigp8XFwor65m6bFjxmT9wMhIPtm5k8VxcdT39mb6/v3c3b79Oe3MasOapY7NyuLjnTsNT+qapNh8lulFRUzfv5+iigqSCwpwcXBga3IyrevVI8rX15ChuhRGN23K9/v3y8n9Dh0uqo/6z1JRXW305PVv1IgWgYHcqAexthp7tQ3gdAwN5fZ27WgRGIhF05h96BBf7dlz1sXl1aROgjxd7qS25XOBuee4bxfQqpblZcDEczznG+CbP76l1weT27QhOT+fW1q3Pmu83iSEcdIOcHPDx8WFI1lZdk2NVnskkCc8TdPYlJxMx9DQCwZUkb6+PNG9u+Gb2PmrrwwbpWAPD3pFRCCEwFFfj7UMZy2JWBnVtCkjoqONK9Egd3c2JCVJo3LkwXdvWpohF3E+PJydeaBTJzYlJbE4Lo6dKSkMiYoyrrr/CKW6UX15VRXFFRWkFxWRU1aGh7MzR7OyOJmfb1f29nFx4aW+fZkyfz7FFRUsj4+nd4MGRvn62V69GNusmfH5lldVkZCbi7ODAz9PmICn2cyhjAza1KtHoLs7FotFetF6e2NBZgWeWrUKb7OZAZGRhHp6GifTGWPHElhdTdL27RRVVFB2xx24ODpSkZVFUY8eBLdujXtZGc/OnUur6Ghjum1pfDzbU1IY1bQpmqYxdf586UFbXc3YZs3IKy/ncFYWvsieRIBpMTFklZRwS+vWuDk5GROWVjumT2644bym5L6urnSvX58N+jZuSEpi9+nTBLi5kVNaSrfwcNydnWkRGGj06rQLDuaOGhcztWHdH4MiI3mxb1/j8Y9363ZRGQ9nBwfjIqSmC82foX1IiJQYEYK72rcnq6SEE3l5jIiOxtvFhQc7deLlDRtIKSjg+/37jR7D2vBzdaV3RAQrExIMqzCTEPxj2TIGRkYan33X8HA+GDaM2+fPNxxOZh48yMyDBwG4oUkTAnUf7Cp9WKUm1oxFZnExk9u0IcTTkxfWriW5oICUggKWHz/O8CZNWJ2QYASLqxMTqayuxsnBwZBCOq4PI42IjuY/GzeSXlzMtlOniMvOpkf9+jTW7djic3KICQ4+b8+TtYxbWFGBr6srYZ6enCoo4HBmJocyMhjVtClT27Xjv5s309jPj0937aLJhx8S7OHBawMG8GjXrlg0jceWLUMgj5ff7d+Po8mEWdfgrLJYpOWc/tk6CEF5dbWhydi7QQNWHD/OjwcPYtJ7PONzcs7yNLVVNrinQwca+/nR8YsvAHhj4EAeW7aM5IIC7liwgEqLhUA3Nxr7+lJcWcnza9fywbBhgCw3+rq44OrkRGV1Ncv0/9uVkyef51tnT7JN8Lbh5En+0bUreWVl3DZvHs/37m34ytpmeX89epSEnBwyS0pwEIKy6mqmLVxIkLs7Pi4ubDt1is1JSfS4hL53IQSv9u/Pb3FxRj/ileJ0YSFvb9lCD5tKl7Wn0kqXC0zNOjs4GFn7rJISPJydWX/y5N8vyFNcXfzd3HhnyJALPs7BZOLW1q35ZOdOmgcEGGWwSovFzhooMS+P9KIi7rEZPDgfJiEYFBnJ9P37ydNPKkJXvK/ZRHuh9Vip5+FBeVUVvxw+zJtbtuDh7IxF05gWE0NaURGHMzPpp9v+nIsWgYHMP3pUWkjl5f2pIO/NzZtZFBdHUkEBmSUlaJqGj64f+NPvv+Ph7EyopycR3t7EZ2fTpl497lu82Og3W378OP5ubsZJtW29esa2V1RXy5KiphHo7s4tc+fyZI8eTNC9VEE2XueVl/NS377MOXyYHSkppBYVkVlSwswDB3B2dDTkSZr4++N477187uRE27lz0Y4eZdf999Pohx8YtXkzozZvRghBvpsbDz32GK2CgmgTFMR/Nm3Cy2zmdGEhb2zaRE5JiWGavjEpydAy9DabGREdzZrERPLLy+0GVL4eNYpSm/JPbVIMtWHtw+kUGsqiuDgsmsaNLVsajh22CCEuGOBZNI37ddu4yW3b2j2+Li2IQGZjbd/XfwYM4EhmJsP0hvcOoaHMvfFG7liwgCOZmTy8ZAkf11J2B9mzmVxQgI+LC4UVFbStV49/9+vHI7rzBUiLPzcnJ1oFBTFj7FgsmsaxnBxe3bDBWM+dMTHsTk3FomlkFhcb2UYrNQP1UU2b0sjXl4TcXD7dtYuskhJe0IdUftS/4yD72tKKivB2ccHXxYWBkZGsSUykoroaZ92GLq2oiFmHDpFbWsqy+Hg+GDaMx5cv53RhIUMv0JcIsvfYinU47JUNGziWnc3O06cJdHMzBNLr6RPjhTk5PLlyJQfT0wnx9GRLcjLd6tdn/YkTJOXnU1FdjYeTE0n5+TT28yM5P5/5N99MhLc33+/fzxMrVuDi6IiLoyN5ZWXU9/Jid2oqAll52J+ejkXTjO9atcXC8ZwcBjRqhI+Li5Ex+mj4cOrpQZK1pcNBl/JwdnDgie7d+XbfPpJs+n+rdc/wak1jdNOmLIiNJbe0lMziYgLd3amyWFh67BhDoqJq7bezaBophYW0DArC22xmS3Iy+9LSKKyoIKO4mCdXrWJq27aGNaC7szNdw8L48eBBisrLMTs48JG+j9KLinBzciK9qIj8sjJWHj9+SUEeyOP05byIsr7H5Px8Gvj4kFFczJe7d5NSWMiOlBRDl7Im2++665L8ZwPc3Fg1ZYrR9lBXKFszhR13xsTQvX594rKz6RYebpTRrGbuO1JSeEY3/76UJtqxzZvTxM8PV0dHOoSE8GzPnng6O1/wZHwunB0cOJaTw0vr1pFdUkKybmwf6O7O5F9/5cmVK3l02bJaRU2tNLcpEVpPQtbexUtlqx7gtAwMxMPZmcH6EEqlbv01qU0bDj3wAEtuvZXxLVpImzZd/8xaCplpc/Kz7V/6bt8+Pt21i6YBAUYZ/M3Nm5l58CAJubncu2gRu1NT6dewIRNbtmRYVBT+rq74ubhQZbHw9tatRoCnaZqUk6iu5n933cWOBx7ggcce40MfH5IHD6ahjw8uTk4UennhVVzM8/Xr88XIkVRpGh7OzhzPyeHZ1avZkpxsJ4ewXPc0BVk2/WzECFoFBdnZ3IGc1D2fnM6F6BwWZsja1MyE1GRVQgIjZs5kvdXT14Z1J04Y+of1baYQr0Wi/f0Z3ayZ3QnZ0WTiLV0kentKSq06ZLmlpcw5fJiiigoe6dKFmePG8fOECXSvX9+YrPzPgAF2E6/NAwNpGRTEmGbN2Hn33TzTsye/6lZ71s/b2me6OiGBtYmJLIyN5Uvd+cPD2ZnHu3UzyuRP9ejByOhognT3mRfWriU2K4vn9Ex9alERpVVVlFRUYHZ0pH+jRlg0je5ff83Tq1YR7OHB+pMnyS0tpZ6HB3HZ2Qz94QdDdNeqzWelysbBpDYa+/mRkJvLsexs/FxdWZOYyKxDh4z7/Vxd6RwWRpC7O4l5eby8YQOrExJo4ONDfHa2EXhW6UFWSWUlldXV3NOhg9GuMVlvwrdm4nekpLArNZXCigrCvLwY26wZ2SUl/GIjY5RdWopF0+gSHs4zvXoZwUTX8HAa+fri6+qKk4MDxZWVdAoNxdtsxsXRkSg/Px7u3BmLpvG/7dspq6oit7SUhr6+xAQHsyA2lke6dKGiupr5R4+SW1rK48uX8/zatby9ZUutn9Gi2FgjO//GQDk/efeiRTynD6iUVlby2a5dzD96lCXHjhETHMyYZs0orawkq7QUVycnxrdowbAmTajv7S2t0/R+4dW1/C9eSTRNI89GYFzTNCyaxtJjxxg/ezYbTp7klfXr+fXoUTu5rlBPT+5o18443kb6+l5SgGfF0WQyBr3qChXkKc7i1f798dSnbe9p3x6zfjADmb62lnMupcejf6NGzBg3joY+PtT39jYO5ltrmVCsjW/37jWair/du9dw0jitm3dbbbCs5ugg+0rOJyTau0EDnB0cDEHMJceOnXUV9/62bby5ebNdJrMmmqZRUlnJza1aMappU+p7e3N/x46GMXWZ3pvX/euvmTBnDk90785G/XUe6NSJCS1a2AW7w5s04bt9+4xg5qD+vj8fMYL/DR1q+FeuSUzkiRUrjGDROswxpW1b6nl4UM/DAw/dpgpkCTezpIQpv/7K+9u2AfDpiBGU6u8/eMoU3KZOZffNN3P30KEsb9iQPuvX4/z55+SdOIFrWRnFlZXs0vuMnB0c8HJ2xkcPGLzNZqL8/Awtv54REew4ffq85dhLxerl6+zgwPgLlOY/372btKIi/m/FCjsP2NUJCUYv3puDBklR5cOH4euvQZfA+SsQ7OHBskmTAGr9P3pn61bDc3hEdDSjmzUzvusfDx/Os716nVfHSwjB+BYtjAsOa5B396JFdPziC55atYp/rlzJy+vXG9p6sydOtJvEFkLwSr9++Lu5cYON9EaroCB61K9Pmd5z5urkRANvbwZGRhLp68vL33xD6zfewNdsNv6ffczms6zZAm2mrAFunTuX0T//fM7vnK0E0Cc22c8lt91m3F4zZQp+rq7G0M+SY8fILysjs6SEx7p2NQJk2+EQd5s2GCEEL/frx3O9e7Pw5pv5aPhwKfPi4MBTPXowNCqKIHd3DqancyA9neySEiNwPt+FS3f94shH1z19b8gQ/Fxd+b8VKzhdWMiJvDzSiopIKiggzNPTUEf4YPt2sktLeXHdOvpNn87Xe/dyLCeH1YmJtR7XrMfWjqGhuDk5MU0fDimtcQFcXFnJrtRUekdE0CksjIktWiCAVroQ/At9+uDs4ICTyWTolu5NTWWdzZR9bcRmZZ31Wn+EaouF/23fzsDvv+dkXp7RYvJPm2Pm/KNH7fylV06ezNLbbmP6mDE82Lkzbw8ezA/jxvH24MF/envqClWuVZyFl9nM7W3bGjIRHs7OpBUV8Z+NGymprCTa359pMTGXXNZqHhDAQ507069hQ+p7e+NpNrPr9OmzpCC+27ePVvpU8OHMTP69fr0hGvzx8OHGYEKQuzunCwuNEouHs/NZXqrTFi60k2CwJdDdnU133km1xUJSfj43/fIL/1qzhqySEia2aIGjyWRMs80+dIg72rXjQb3fIj4nh2/27uXxbt1w1M3VrU3BheXlfLlnD55mM51CQ1kaH88c/ao9tbCQVzdsYEdKCg906mRM1y2fNIlBM2bwfO/ezDhwgCXHjhHs4cEoXYh2RHS0oRc2JCqKradOneXBaw2AHEwmPho+nEWxseSVlfHWli1SuNrZ2fgcrMGvEILJbdowff9+mjZsCI8/zt7Vq3E6fpwfnJw4lZxMn4MH2d+gAe5mM9k+PiTqJ2ZnBwfm3Hgj7k5OFFdW0tTfHw+b7OygyEhmHjzIjpQUQwPwz1Lf25vvx44l2t+/1r4wK1UWi9306ZGsLEM30GpFNjQsjP5z5kBWFlhlNJYvB1289a9AgJsb4V5edsNM1RYL0/fvZ1l8PI4mE4906XKWtl3zwEBDGPliqVdLRsIkBH0bNmRss2YUV1aelVkD2VcZ4e3N/NhYovz86Bwayi1z5+JlNhPh5YVJCBxNJnpGRGASgptbtaJhaioNAZ/PPmP/uHEEe3gQm51NXnk59b292TptGnvT0ojRhw2sJd4E/TjRf/p0Y3DIFmv1wSQEjX19GdW0KbHZ2QS5u/Px8OGG3V60v7+0C9MFpRNycxkRHc1trVszQ2+d+GzECMboYuPnshMM8fQk2MODTqGhHM7MZGR0NEII6nt5sTQ+3pCK6hwWRqXFUuvnZ6XKYiHSx4f4nBwOZmQwSC9tm4QwLgjdnJyM/s0R0dGUVlby1pYt+Lq4kJiXZ5d935+WRoP332fl5Ml2g08n8/MZ26wZ4XqG+/5OnYgJCeGhJUuM18ouLTU0O/N0sfFHunRhfmysMcXc0MeHZ3r25PVNm3B2cKCJn58cmtqzh76NGlFtsfDYsmXc2rq10eO35NgxXli7lsGNG/OfAQPO+VlciHsWLeJ4bq5hE7g9JYWM4mI72zWAzcnJVFssDI2K4o527ew0Ga1crsG8ukIFeYpamdSmDV/u2UNJZSXP9OzJl3v2MO/IEdoFB/PBsGF/SKtICGE3At86KIgDGRnsT0ujka+v0e9ldQ6w2nrZ8qDNNOWARo0w6YMgG5OS2J+ebjhfvDtkCI8vl4o5O1NS6HcO4WOTEJj0Bvo72rXj2337eH/bNvalpZ2lDfftvn080KkTQgieXb2ahNxcOoSEGM339fUTFsjsW/f69bm1dWt26tmswY0bs+L4caMsYKuj5e7szJZp06isruZ13aB+VUICaUVFZJeUnNWTMiI6mtWJiUxs0YIgd3civL3pYNN7FOnry6Ndu7I4Lo4wLy+e69WL/9gY3x/PzeVIZiahus3TqKZNjYO69T0IV1fW+/uzXs9+3JGczFcBAVj8/HB3cmJEdDQ96tc/Z99js4AAnB0cOJSRcdmCPLjwkENcdjYvrVtHYXk5L/frxwtr17IvLY2OoaHEZWdzODOTyNJSnn75ZahZ2ktIgLw8uIQsdV3TLjiYxXFxvL9tG4917Wp4OAO81LfvRfWtXQyuTk7c17Ej9dzd8XV1JcrP74Ilcyt3t2/P82vXEp+TY/xPF5SX42E2s+Ouu8guLcXf1RWqqhibmUmFn5/Mxh04wPPvvQdC8NSqVUT5+rLollsQQtA+JASLpvGJPv1dk5kHD9ItPNzu+xnk7s7siROpslgQQvBCnz7GfV3Cw7HOKf9v6FAyiou5dd48skpLuaVVK17t3x8hBHMmTiStqIhwLy9e6dePTmFhdrqNNRFC8M3o0WSVlBilu5qlv5kHD1JpsRiOOVYKystZk5jIyOhoDmRk0MjXl9OFhby5eTNL4+MNNxqrPmSQmxsaMmg0CcFNrVoxNCqKD3fs4IcDB6isrsbbbMbD2ZmUwkJKq6q48Zdf+Gn8eFoEBlJQXk5eWdlZFwWdw8J4oU8fekZEMHH2bIr1TJvZ0ZFTBQXMPHjQ8CHuayM4be2HbF2vHgMaNeKO+fNZHh/PLb/8QlZpKbmlpexOTeXpnj35as8emujH0hXHjzNR7xWt7+19zvNNWlERy+Pjmdy2rXHcOpmXZ1gBWlkWH4+TyYS3iwsujo6kFxXhYDIZ7TwTWrQ4p7bqXx0V5ClqRQjBzxMmUFRRQbS/Pw18fNiflsYduhbe5SAmOJiPd+5k2sKF9G7QgNtatzaawYEL6iq1DAzk4S5d0DSNTl9+CWAMi9Rzd+ej4cN5aMkS/rlyJcsmTTrvgRhk+TbKz4+5R44w+9AhKqqqcHNysuvT+2D7du7p0MGQIzmWk2MMErQMCqJan7Sr1qffrA3UXmYzL/frR7CHh9EfV1u5+2BGBiX6pO6W5GS2JCfj6uR01om6Y2goa6ZMwbGGYGdt78nP1dUI8KbFxODh7Mz/tm9n8q+/0ik0lE9HjKCBjw+F5eUsjI09099lc1XrV1nJ5FOnONC4MUXNm/Pt6NEXdFxwcnCgaUCAXZbpavDaxo3E6Q4ow6KimH3oEJ/pzf+/Z2RASQnPLVyIR80Ab+pUmD4dMjL+UkHePR06sDgujh8OHCCjuJgVulPMhBYtLrut0l0XOWxVk2FNmtAhNJS1iYm8tWUL9b29Sc7Pp5GPD0K3MQRg5kzEBx9gdnCQxxlNwyc9nXj9AqSmLda2U6dqDfCs9+1ISTlrIvJizOMD3d0JdHfnn3prxSv9+hn/Z15ms1GyHXYO94eaOJpMdgGxNaPePiSEXadPU2mxEOrhwcn8fMOporiigjF66dk6BDMtJoZ9aWkym5eebrRyODk4EObpyeY77+R4bi5RNgGLt4sL/+rdm026tqL13ccEB7P42DEKy8t5ad06Hurc2XhfDWt8/21VGPLLy3F3ciLazw9nBwejvAuyLcc2q9nIx4dne/WiT4MGeJnNPL58OTmlpSyMi6OJn59x/Fp67BinCws5npuLh7MzJ/PyuHfxYiNDaevAZMvTq1YZNndWjbqaAuuA0epze7t2HM/JIbWwkJtbtOBnvc3gcg92XEuoIE9xTmw1iYZGRV22jICV4U2aGKXXDSdPGv1wvSIiiM3OJqO4GC+zmfeHDgUw/BD93dx4rlcvO4/FtwcPJq+sjDc3bybYw4NGvr40dXBgSOPGLD9+nDc2bWJ88+ZGWaAmBeXl3KGvv7SqiuzSUn49epS7OnSgRUAApwsLeX3TJt7YvJn4nByjZ2RBbCz+rq6EeXkZgr8jmjRhQWwsvq6uBHt4MO+mmwhwc8PRZOL2du04nJlJjG4iX5OdKSmYhOCOdu14R78ynjVhgp1JvJWL8YH0Mpt5rX9/owdtart25JWV8T9dn27n6dPcvXAhvRo0oKSy0rDjmdK2Lafz8tidmEiulxcv3XcfXtu38/GHH+Jw222Ii/SgbOLnx6qEBDttvyuNtf/uf0OHIoTg7vbteXTZMqPR/f7ERNoKAfXrwwMPwNy5sGsXdO4sg7z0dNAFo/8KhHp68s3o0dy5YIER4C24+WY7W6trgSB3d25s2ZLiykqaBQQYXrgAzJkDubnyt4548kl49llO/fAD3zZuDPrxKCE3F28XF1YlJBBrI4TdOSyMUE9PAt3cGNu8OTfMnMnBjAy7IO9kXh6FFRWG68+FmNSmDZPatLkM796ep3v2ZGBkJIMbN+afK1YQm52Nu7Mz60+coEtYGA4mE3MOHz6rt3BgZCRT2rbFomnMP3qUt7ZsYXzz5gyKjDT6qKPOkZHq3aAB844c4cNhw2gRGIi3iwvjZs1id2oqB9LTeXz5ckNz8VxBj6ZpuDs709Tfn7HNmnEsJ4fv9+8n2t+fm1u1ssviwRnLNCvjmjfnyz17sFgsRPn5cSIvj6LychLy8gBIzs/Hy2w2ZLGs56B/r19PmJfXWXI51n66jUlJRpC34eRJnB0cjF7k/o0asUZPHtzYsiUT9EzkvR06sCMlheiLsAj8K6OCPEWdUc/Dg69HjeLbffvYZNPw/myvXkZ5+JvRo42rylkTJnDTL7/QyMfH0FmzYj24dAkLw1OXLgHpu7n8+HHWnTjBuhMn7GyzbLG+fmM/P/LKykjOzydfFx5dZDJxX8eOhHt5kZyfzzf79jEoMpJ7OnTghbVrEULwok3Zx3qQtRqO25Y+vMxmPhsx4pyfSVx2thRP1fvrQj09/7QAaP9Gjfhm9GgC3Nxw071XAUNIdW9aGnvT0ozH1/f2ZmKLFoR4eqK1b0+2xUJAvXpQvz6O06fDzz/DRZ74Gvv6Mq+8nHsXL+bdIUNq7Y28nKQWFpKUn8+dMTFGL02PiAiaBgQQm5VFmJsbt27dCnfdBdbvQp8+cOIEWDM8GRmwZQt8/jl89JERXFzL2AYtv9500zUX4FkRQti5PABQVAT//e+ZvydNgh07cLvhBsreeIMmv/3Gfx0d8d2zhwmzZ7MnNZW9aWnGBUnTgABmjB17Vo9wfS8vPtu1iy927+bLkSNp6OPDeL3f8lzHgauFn6srgyIjqaiuplt4OMuPHyfS15e5R47g7uzMI126kK5XC17o04eX168Hzlx4m/TgaUyzZgguzr/1qR49GBgZSScbfdMHO3Xi7kWLjJ7mr/fuJcTT0xjQqUlWSQnFFRUMaNSIYU2a0FMXu763Q4daBc1r8tagQcw6dAhHIdifloa7kxPxublklJQwpmlTjmRlYXZ0pJGnpyEvZeWeRYtYMXmycTGdV1ZmTFJvTErixpYt8Xd15WhWFkOjoowMY4vAQNYkJjJj7FijMuPp7ExZVRU/T5hQq8n99YQK8hR1StvgYN4dMoQsXUDTycEBL7OZx7p2ZWR0tF3ZoLGfH5+NGHFeyYua+l01gwpbbSpbDmdm4urkxE/jx2MSgtmHDvHGpk3GYz/btQuzoyO+rq4UVVaSUVzM8CZNaB8SYmTprAxr0oSl8fF/KAOQmJdHlJ8fjXx9Gd+8+UV7514IW7kbIQTzbroJHxcXskpKDDV3kKWsWRMmGCcBERiIceh2c4P27cGmPHMhrAHvntRU/rNx459qpr4QpZWV3LVoES6OjkZpycpbgwZxID2doUVFYLFAixZn7nR2lpk7iwVMJjh2DH79FY4ehR9/hPvu+2MbVFQECxbAxInyNa4gJiH4etQo0ouL7eR3/hJs3Hjm9u23w0MPGX/6de1KyYoVeAlBhJcXTXU3Hmu7BMhpztr+p0dER/PJzp1SP3PhQrv7nlq5kv/qEjR1xfT9+/loxw6aBgQQ4e3NT+PHM3bWLPalpVFWVcWcw4eJ9vdnVNOmBLi51TqUcSnDbw4m01m6lAMiI3m0Sxfe3rIFDZkFn3oO7dKM4mI26xfD1uOJp9nMuxehwWrF02xmUGQku0+f5nRRkTGVXFBezqakJAJcXXl/yBD2paWRXlTEV6NGkVxQwKNLl+Lr4sItc+fySr9+dA4L46Se/WsRGMju1FRiPvuMNVOnUlpZSZSvL+3q1SPK35/hTZrQvX59ov39DScPTRfTrmt5k6uBCvIUdY5JiLMOYG5OTnY+gFasE5KXgu2V8Mm8PDurKyt709Jo5u9vHDRvbNmSwY0bsyc1lVc3bKCgvJz+DRtSrWksioujvKqKXadP17o9Pi4uZ/mwXgyV1dWcKihgYGQkJiF4pobrx+XEml30MptZd/vtrNWn9BrqPVLnpFEjWL8eKivhInoz24eE8MkNN7AlOZmZBw/yWNeu550g/DOsSUwkvaiI94cONYZIrBgZUevkbG3lWJMJBg6EX36Rf/v5wcyZMvCoxcLogixeDO+9B6dPwz//eenPv0TONeF5zaPrbtK5M0yZYndXw9deo3L3bpltSU2leUCA4Zri4exMUUXFOYc/7oyJoW/DhnYXMcZL6vIhV6uFoCYV1dXGgFlsVhaPdOmC2dGRgZGRzD1yhDm6dp/Vq7jmlPDlpGlAgBSXr67G7ODAjS1b2t2/5NgxFsfFGQNjjXx9/9TE6cDISBJyc8krL6eoogIN2bNodnSkmZcXQ6OiKKuqwsts5pu9e1kWH4+7szMmIUgtLOSuhQu5t0MHvt23j2pN43BmJom5uVRZLPT69lsEUk5qX3o6+9LT2XrqFDe2aMGTK1eSU1pKtcVCQl4eb2/ZwqyJE887pX+pZBQXM/zHH/li5MjzOrFcTZROnuK6Z1TTpsy/+WZA9qDVJC47m9isLAbUmAD1cXGRjcR6sNkpLIzX+vdn0x13EOzpaUyT/VGqLRbe2rzZuCJNLijAomk0uspN/x7Ozoxs2pQboqPttL9qJTJSZryWLbuodQsh6BwWxrCoKCyaxj6bsnCtzJsn++Rq2AldDPvT0/Eym+1sic4iPh68vOBcjdYvvCBfv2dP+Mc/oKRElnIvlsJC+PRTePNNsIrsbtokZVpeeEGu7+9Aaip88IEsfdfGnj3QuzcsXSpL4zffDJ98IveNLUFBOP3wgzwRHzliZxD/7pAhjGvenAm2WdkaROoyKbWRayOSezXYdfo09y1ezMLYWMO+EOQAxET9PXQMDaW8qopPd+0C4Pneva/4dlm1AwvKy+nbsOFZ1Y/3t22zEwp+qkePPxUc39W+PYtvvZWWgYGEe3kR5ulJlK8v93XsyH0dOtDt66/5QBd23pSURHpREUn5+XSrX5/iykqO6y4qAPllZWi6T3e1ppFbVkZBRYWdhWRKQQHvbdtGQm4upwsLKdf9m3ecPk3Xr74iRT/ufrt3L3NtBKr/CFZpqhfXrTuvturVRGXyFH8Lwr28CPX0ZGdKit2VqrWB2dnBgeHnmJR7pX9/Zv3+OwMjIxFCyIblZs34dNcuCsrLax2KuBh+z8gw1Pb/2aOHoQVYW6bxmqFPH2jSBD77DG64QWa/LgJrCdFqaL7x5Elyy8rsT8BZWfCf/8jbO3bAs8/K13jxRZlR69oV9OEfTdNYlZBAl/BwFsfF8ePBg+SVlV04E3nsmFzHuR7j4gJ33ilvJyTI3ydOwMVY3u3cCa+8IjN3tqSkwFNPwf798j0MH37hdf0V0TQZqHXsCPv2wfffy3368MNngurYWPi//wNrsP/88/K3LvBdK9aBr3/9i26LF2MSgjb16tE+JOSisiX/7N6dEA8PhkRFEerpyesbN7IgNpZTBQVGf9eVYE1iIt/t28e3o0fjYDLx5ubNJOTmskv/frQKCuLb0aPtvq+9IiJopltKRvv7n9V+ciWwXlQGurlRWF5uWMrFZWfz9KpVRm9x1/BwHu/W7aKmk8+HSQiCPTx4sU8fnlq1CpCl9dvbtqXr118DcvjNy2zmuV69eHHdOlIKCtiSnIyX2YzZwYFCPQNYXl2Nt4sLE1q04F9r1+Lp7IyDycTaEyfoFBrK5DZtuOmXXyiprKS8upoIXY7F7OBAua6KsCgujiX6dC/I/XIx/YW1UaQPfaUWFrIyIYHjOTkkFxRc0TaVC6EyeYq/DS0DA1l74gQzDx6koLycDSdP0vnLL5l96BC99RH/2vBwdmZa+/Z20jHWk0ttllkXi1V1fVNyMpqmGVeBDa7lnipXVzm0kJ4uMzUXebXq5uSEn6srvx46xBOLF/OP5ct5ef16o7kckFOuQsiMl5XffpMTl++/L7M9u3bBzJmsTEjgmdWr+WzXLn47doz0oiLKq6oION9Je8UKOHhQBqkXQ3i4DGIvoNAPyM/huedkgGcbsFgDOl02h8ug5H/NsnMnfPstPPggzJ8vly1ZAsOGnQl8d+w4E+DZcp5sHM7OEBQElZWE7t7N6ilT+J8+cX8xuDo5cbduO+ZoMhleyr9nZEB2ttx3mna2ZuJ5OJyZyT+WLeO/mzYZGRtN03hj0yYOpKfz5MqVPLlyJYczM+n17bfcv3gxCbm5jGvenM9GjOCxrl15oU+fsy5IhBCGioH5D1o+XipCCD7Xh8F2p6byit7a8vGOHSTl5wPwwbBhfDR8+J8O8GwZEBnJ1mnT6BwWxuK4OPpOn27cN7hxYyqqqw2fY19XVyqqq3EQgm7h4bQLDmZwZCTB7u5MaNGCvLIyvM1mQ85K0zTGNmuGl9lMblkZ5dXVBLq54e7kxMv9+vFgp07S6Qb4as8eI8ADOcn7R7EV418cF8fGpCQ7W7W6QAV5ir8NVl26d7du5aV16/hAlxEBeQV9KbQNDqaJv7/hZHEpfLt3LzfOmWMI1qYUFPDiunXMOHCAjqGhuF4mHcIrRv/+stT2ww9wCSXreh4enD50iHXWHizkQAbTp8us3c8/k9W7Nyd695YB2TffgNkMb71lPL7kwQd5fNkyntXXMfvQIWKzsow+v3N6Dx8+LF8DZHbwYnB2hubN5RDG+TQbjxyBIUPkY556SpZqrQwYABMmnPn7QuXqvzL69xmAmtqI1vKkrUht9+5nbl+o59EaAGzejKfZjPvFDLJ8/73siaxBqKcnUX5+7N69W+63r7+GDz+Ebt3OOJ/YsDohgfe3bbMrv0359Vc2JiUx5/Bho5k/p7SUXw4f5s4FCwzJDpD9d9Y2kTHNmtExNJRJbdqcM2C6sWVLxjVvfs4BiCtBh9BQ6um9jasSE9mSnMzetDRGN23Kkttuu2I9gU4ODrw3ZAhT2ralTA/QPho+3ChTx2VnE6V7nvu6uvJq//70jIggpaCAjUlJ9IyI4L6OHcksKaFjSAiNfX0pqqggp7SUaH9/9qSm0sjHhyg/PwLc3JjSti3DoqLoWr8+vi4uZx33PZydicvOZvq+fby8fv0le5mnFxfjo2cWtyQnE5edbbiy1BUqyFP8bejfqBGN/fzo36gRm5KSOKH3wgHn1M87FyYhaFevHqf08uOFqLJYKKuqYnVCAh/v3GnYL1kHIJYcO0aYlxdv1vHE30UhBLzxhgyCtmyRZc2xY8+UN8/BLRUVeBUV4WSxyMlTILOkRJ5gV6yAwkIeaN6cCbNnc9Ri4cHkZI6/8IIMBm6/HYA5ISFs8PcH/YRg5emePYFzaAfm5ckyIsAXX5w/a1STqVNl8Pb447IXsSbbtsHkyWeCQOuJ+fPPZYDXsSM8/bR8XZDTujW2/brBmtX28ZEl2smTz9yne+iSliYHdoYPl6XtiyUwUPZJnmuye+5cmDFD3q6ogFWrZKb5xx+hhv0fSM24rGPHqNY02XowaxZZxcXsffRRDtiU2wvKy3lq1Sp+OHDA6Ce11Mhezz96lG/27jXKsLYMadzYbvrUtqfwXDg7OPBsr15nac5daWaMHcur/ftTWV3NI0uXUlJZScugoCs2KGXF7Oho54TUyMcHVycno63m33370jY4mOKKCtqHhNDLRj7rzpgYBNL5ol1ICM4ODviYzTiaTEycM4e1J04Q7uXFwptv5qHOnXlQdyxqrAfYti06N7VsyX8HDgTgwx07WBgby7ZTpy76fexNTWXekSOEeHra6Qxe7f1YE9WTp/jbEO3vz6wJE8gtLaWkspI9qamGYOYf6c0J8fSkQJ8QO5/+m6Zp/GPZMrbqB4zmgYF8OGwYT65cyUOdOxsizw916vSH+/uuOs7OMpu3YAH8/jskJ8tg5n//g3P0SQ1/7z2GVVWR6ezMqw0bsgXIqBEkJ+iB1O3z51NlsfBb27Y88sEHxrDHbmspu6IC9HLWzPHjaeLnx+Pduhm+mQZxcXDrrfL2I49ICZhLoX9/ORn71ltyXTV783SnFUCWKa1Tux06yB8r7dvLv3fvhr17oVOnS9uOq0lSkpTL8fExPuOL4uRJ2bP59tvyQqCsTH4vduyQE7SDBsGGDdCrF7z8snzOmDFymOdiaNhQrstikYHyL79IvcagIHj9dfmYLl1khtnG/pC334aAACmFs3MnODkxYc4cXLKzKa6owNNsJicvj8OOjgTk5RG3ejVt9ADVqsUH8kIsJiTE6Cu1svbECdbW0rYR4e3No1272k1v1rQzu5bwc3VlSOPGpBcVsez4cTqEhDDgHHaQlxsvs5l/dO3K6sREI6h8ont3psXE4O/mxhPduzPl11/Zl5bGoMhIOoeF0aN+fdoGB7Px5Ekyiovp3aABQ6Oi+G7fPsOj9veMDDqFhtLAx8cukLT2CCcXFBDp64u32cw/e/Qw+g+tHExPP/uYUgv70tK4e9Eiqi0WhkdF0U7P3j3YqRNNLiKwv5KoIE/xt8PX1ZWPhg+nymIhLjsblz/Y+2IVJk0tLDzrHzm1sJCRP/3Eh8OGUVxZaQR4AM/07ImPiwtfjBwJwCNdurAsPv6iDibXFI89JsugujUQCQkwcqQss7ZqZT+UceoUVFUh7rmHoC++4IMff2Ts1KnM3rWLcW5uVAnBdJuBBLOjIyGurkbfIiYTm4YMYUtCAj1zctjk6Mgrhw7R5+GHcdM/ezuvYWu25cMP5e+wMLjxxj/2PgcOlEHepEkySHF1PbN+a1nuk0+kBMj5eOUVmcE6efLaC/ISEmTZuXNnGDdOLvPykr2QF6P3mJ0tM3kDBpwZanFxkQFWVpbMxD7xhFxuKw30r39d/DY2aCCD+7fegtat4d135XLb4QRrgBcWJkvnBw7AV1/J+2wmtgOA3rm5nKqqYmGPHozavJl1t97KhJkzif7Xv4g7eJDtt93GzIMHDS3M1YmJ3N2hg2G3+P3YsRzJzDS8pmvy3Zgx0r1B0xjSuDFDLrNj0JVACMHUdu2YahMQXS1ua9OG22y+ayYhDFHmpv7+eJrNxgBcq6AgQ4NzaXw8vq6uDIuKwsFkokNICKsSEvjlyBGOZWfXKi3k5uREkLs7ibm5/GzTTuFr0zbg5+pq9Emfj7KqKp5atQpnBwfSy8rYk5rK4cxMZo4fb0wu1yUqyFP8bXE0mf6UZ6E1yEsuKDgryLNqYP1y+DD55eVEeHsztlkzboiOPitrOKVtW6Zcxf6by0ZwsDyprlkjT77WXrQ775Qne1sXA2v/45Ahsjm/spLc48exeHlxY5cucsjB1RVnBwc+veEGIry9+X7/fmYcOMC8I0doW68ej+mralFYyPtWeZLnn5eN/RaLlC7x9gZ/fyllYt2eadPg/vv/+Pv095fDGseOSe27L7+U5emhQ6GgQA6KXCjAA1lydHWVQd61QHY23H23DNYff1wue/DBM/cXFMh+tf/978yyOXOgaVOIiLD3933tNbkPBg8++3UCAmQW1doTaQ0iL5WOHc9sgzWw6t1bBtz33y+DaGsGb9IkWeZv3Vr2Af72m92qTL1747NsGRlVVfzSty9lEybw4pgxzNm6lVaJiVTNmsU6wKlBA94YOJBM3RN4+I8/Gi0WjXx8jMx7Ax8fUgoKaBkYyPgWLdiclISnnt0XQvBaHU5XXg84mEw81KkTr2/axKqEBL7Zu5dv9u7lh3HjWJOYyKimTY0sqbeLC+NbtKB5YCCf7txpf/FnQ/uQEJbGx9MzIoKskhK2p6TwnwEDqO/tTUV1Nf0bNuTXo0cNP/KaVFksLDh6lEB3d1ILC2ldrx4V1dVGVtfbxYUnbPtO6wgV5CkUf5BIX19MQhCfk0P/Ro0or6qiWtM4npPDct1DdHNyMlUWC9NiYpj8VwzkLoSXlyy5aZoMdAIC4NVXZU/Ut9/CHXfIx23fLoPCiAgZOHz/Pf/ZvZtHWrWSmRhXV/xcXVk+aZIxcWgNnP+zcaNU2DebGd6nD+MbNJDBiZXSUplR/Pbbs7fvoYfkCf/P8vXXshRpDRxnz5b9iAAXm/UQQopJWwPUumbmTFmatQZ4IINYkMMiDg4waxYsWiQztEeP2gfuU6ZItwprGXbsWPn+aqNvX/n7z3gC168Pa9fKC4jUVBnc2/b13XcfPPqoFLG2Tjh7esK//y2D1yVL5IVAdTW8+y6mkyep3L+fW1u35vFu3QAwvfkmixcs4O4FC/j3/Pkk33QTfvp38/UBA3hm9WqS8vNp7OeHq5MT4U5O/GfAADroLQo+Li44mEznlGNS/HGGNWnCO1u3GkNXIAevhBA8UEtmvEVgIB+eR65ofPPmLIuP5zmbYZvDmZn8NH48Alh34gQ//f47G5OSau2r+y0uzsjinsjLw8FkolNoKF3Dw/lk504OXkQW8Gpw7TYIKBTXOC6OjkR4exsm6XcsWEDvb781TOInt2lDld5j1qmGndB1hxCyZ8rDQ+ratWoFH398plH+6FFZ9hNCDj488ADdc3OZuWcPL/v74+/mxqv9+9tJStiWOg6kp+Ps4MALo0bhX9P79KmnYOFC2dD/0UcyewPyxH777ZfWV3Yu3Nzk+wOZ1Ssqku/poYdk4Hqx9O8vS4g24rJ1Rnz82cusfXVPPy2HJ/z8ZJB0332wfLn9Y7//XparrUMl/fqd+7WcneVwhHUA5o/i6XkmkKwZMPboIQPvFStk9tWWoCD5XVi2zAhkfX/6icIlS3jIJgs7oXNnnnzpJXy9vQn38qKbTQZnUOPGRva+p82g1uDGjfF3c8Pfze2a7rn7q+Pm5GRMJFv1AxfGxtIyMNBwBrkUYkJC+HrUKLtl6UVFuDg6YnZ0pFeDBkR4e/PPlStZcuwYaUVFlFRW8snOnZRUVrLr9Gk0TSOvrIxqTcNBCF7q25c7Y2K4tXVr4nNyzhrSqQvUN1Kh+BPEBAezMSmJd7ZsIS47G4Adp0/TPiSER7t2NR7X/E/YAP3lcHU9I3L7yCNyuvX06TOitiCzMkB0cTHDW7Rg+aRJZ/lqRvn58eagQWdOrBERZ5rYP/xQlmEbNpQn9t9+k2XArl1lRm/xYjkZezl55x2ZvfroI5mV7Njx0rOE1kBo6dLzy7Jomhwy+OyzC04tn/P5//2v/EyOHJFDIytX2j9G9yHFxUXeZ/1srVkoF5czGdNdu+T0akSE1AN8/HFZmrXq4cGFs3QNGtiXeP8oVsvA2rJlF5JW8fWV+w4Qzs70jI7GueZEtpOT3D+enmdJwYyMjkYIwU2tWv3RrVf8CV7s04dbW7dmnk1/bZc/cQHdNjiY/o0acbO+P9NtdO7cnJz4atQofF1ceGHtWkbMnMlbmzfzzd699P72W5bGx1NlsZBbVkaEtzfLJ00yjlWRvr6UV1XxoY1MV10hrhXrjWuFjh07art0yxSF4kJYByxqMrZZM57r3ZunV61ib1oayy9HyfCvxooVZ/qwQEpa2PaovP++FCf+9NPznpy/27ePhbGxfDhsGGE1ba+OH4ebbpK3f/jh4pwpLgfl5TIYuNTMjabJbF5hoQx0f/219setXXvG77ZePfj5Z/k5bdsm5Vku1Etq+7l4esrXA+k77O4ueyh79pTZrfvuk+9j3jwZtL3zjv36LRYpmTNvnly+dKn9a+XmyozepU4u/1E0TQauzZuf27nkcvDCC7LE+3//B7fcor+0RqXFcnZgqLjqrE5IYPr+/Xw4bBjef8Rbugbdv/6aiupqtt11l91E9PGcHOYfPcrnu3eTXVpKiIcHJiG4rXVrDmZkcDQrix/HjbNzyTiQnm6oJnw+YgQd/oDn+qUghNitaVrH2u5TmTyF4k8Q4unJS337cnu7dtzX8cz/mFV4+fUBA1h22211tHV1zKBBZwYSWraUWTZbHntM9rpdIPtye7t2zLvpprMDPJDyGzfeKOVJzuFRekUwmy89wAMZlFj145KT7R1DNE0GZyNHngnwBg6U7iL9+sk+wKQk2e94Ifbulb8nTz4T4IEMEq1ZPotFTvla38e4cbIEWzOANJlk6RbsJ2Ot+PpevQAPzpT8r2SAB2dErN95R2Zt77sPcccdOJ88KSfIL0FDTXH5GRAZyfdjx16WAA/O2EmurpE5b+znx/91705WSQnlVVUk5uVxPDeXO9q1IzY7m3s6dDjLBq1VUBBP9egBSOmduqROgjwhxEtCiBQhxD79Z7jNfc8IIeKFELFCiCE2yzsIIQ7q930g9OYdIYRZCDFLX75dCNHQ5jlThRDH9J/LXLtRKCQjoqN5qHNn7mrfnhuaNMHZwYFu4eGAnKz7M2bef2mEkNOPIE/KV6JfSQh48kmZ3fqrfM533gkPPCBvb916xvLrxRdl9q20VPYT/vKL9PJ95RV7R4h33pGB7fkGOHbskMHalCmyTzIoSC7fu1eWbhcsgFGjLl7KxdNTZrWsMih/B9q0kb2eVnbtknJBDz8sewtfe63utk1x2fly5Ei8zGZjaM4WTdMIdHMjzMuLpv7+NPX354mVK9E0jd424sxWTEIwsWVLhjRuzE69d6+uqMvp2vc0TXvbdoEQogVwM9ASCAVWCSGiNU2rBj4F7gG2AUuAocBSYBqQq2lalBDiZuC/wE1CCD/gRaAjoAG7hRALNU3LvTpvT/F35IU+fXiud29VzrEyfLgsyd51V11vybVFr16y3+6RR6Sm20cfnZH/ePVV+6znsGFyavnECSnjMm+e7NP75BM53FKTggI59TpxosyyrVsnl99zjxz6sGYdbOVSLgZroPh3IjRUZjeXLJElc2dnmVkFKayckyOHUxR/edycnBgYGcmy+PizZFMyS0rwNJt5snt32gQH88nOnWxJTqZlUNB5XUwe79YNT7O5Ti/0r7Vy7WjgZ03TyjVNSwTigc5CiBDAS9O0rZoMib8Hxtg8x+ps/AswQM/yDQFWapqWowd2K5GBoUJxxXAwmVSAZ4uXl8x4XAOioNcUTZrIUjXISVvrMMHChWeXtUFm3CZOlCXuRx6R/rt790Jt3porVsjlNT16u3SRUjPffCOHJNQ+uThatJAZzEWLZMB8zz1n7rM6dyiuC7qGh1NSWcmwH3+kuKLCWJ6Unw/INpxmAQG8N2QI8266iU9vuOG8AZy/m1udnw/qMsh7SAhxQAjxjRDC6tQcBiTbPOaUvixMv11zud1zNE2rAvIB//OsS6FQKOqe1q3ty5/t2snM0flwc5Ml2J495fDExo3295eWSoeHZs3OnnYdO1YG3SUltQeSivMTEiIzeffcc8ZGbcsWuR8U1wW9GzTAwWQip7SUPVa3HTBcThrrWVsHk4kIb2/cnJzqZDsvhSsW5AkhVgkhfq/lZzSy9NoYaAekAu9Yn1bLqrTzLP+jz6m5rfcIIXYJIXZl1hiZVygUiivG8OEycAM5qHKxdOok5UjeeONMkFFeLl04srJktq9mhsHPT/b5Pfoo/F2HgS4XgwZJyzaLRU6M15w4VvwlcTSZWKxPUifbeBTH5+Tg7eKC/x/wOK9rrliQp2naQE3TWtXys0DTtHRN06o1TbMAXwJWNcpTQH2b1YQDp/Xl4bUst3uOEMIR8AZyzrOu2rb1C03TOmqa1jHwT9hcKRQKxSXh5SVLgB98IMuxF4uPjywV5uTA5s1y2c6dYNX56tCh9uf5+cmJW1Wq/fPYOp08/7x0dbFY5NR0SUmdbZbizxHg5oan2UyyXqIFOJKVRbSf319yiK6upmtDbP4cC+gO5ywEbtYnZhsBTYAdmqalAoVCiK56v90UYIHNc6yTsxOANXrf3nJgsBDCVy8HD9aXKRQKxbWDySSzQZc6fdyxo3TzeP99KUz8zTdy+cyZ0pJMcWXx8ZEag1YefFAOGI0fL2VwKipkEL5ihZStqaxUsit/AYQQRHh7k5ArZzTf27qV2KwsYkJCLvDMa5O6mq59UwjRDlk+PQHcC6Bp2iEhxGzgMFAFPKhP1gLcD3wHuCKnaq358a+BGUKIeGQG72Z9XTlCiFeAnfrjXtY07TwS8wqFQvEXwtlZuogcPSr/zsmRuoR/xh9WcWncdZcsfY8aJUWhDxyQy/PzpVtIvXqwZo2U+Dl5Ut43fLi0w6ttWjkvTw7f9O17xi5P0/468kDXCa2Dgvj59985kJ7OjwcPAtCnFqmUvwLK8aIGyvFCoVD8ZZg7V2aKdu+Wfz/88OW3c1NcGIsF9uw5k9nr0kWWb21xdISqqjN/R0SckWWxruPtt6XodWCglMoxm2Wf5YgRss+yNjRNlojr11fB4GVi3YkTPLFihfH3kz16cGPLlnW4RedHOV4oFArF9cj48TJLZGXgwLrblr8zJtMZS70+faR+oXWgZvhwKQq+atUZqRyQ7iWffy4Dv8pKWe6dPVvel5kpJVvmz5cZ2u+/P/drz5gh3UpsvweKP0WfBg0MQXuTEPRr2LBuN+hPoDJ5NVCZPIVC8Zdj40YZNKip2brl2DGZUXNxkWXa2bPlUI01W1deLt1Gfv5Z7i+QUjoREfDbb2fW07KlvaOJEHIfC3HGM/mTT6BBAymqbZX7eOklmfVT/GlOFxbywtq1PNurF5G+vhd+Qh1yvkyeCvJqoII8hUKhUFxRqqtlSbcmbm7S8i4y8oz1Xf/+MmB85BH44Qc58PHUU3DvvWeeFxAgpXNAWtpdCQtBxTWLKtcqFAqFQnGt4OAAP/0EuiYbIDN+GzbAzTfLAZqYGLn85pul9M0HH8jS7cmT9gEewOOPyzIxQGzs1XkPir8EKshTKBQKheJq06SJtKn78kvZj1fTheSll+DWW6Ft2zNDF6NHy1KvFSFkKbhdOylyDbJkfDGUlckfxXWNKtfWQJVrFQqFQnHNkZ8PHh4yC3jwIPj6nvnb01NO53brBu7ucsjjQiXbBx6Q8ju//Qa2Tg4WCyxbJod4rL2Eimua85Vr60onT6FQKBQKxcXi7X3mduvWZ99vMslBjIQE2LVLlnzPxQsvyN49gCVLIC1NDoSMHCndUl54Afbvh2eeubzvQXHVUeVahUKhUCiuB776Sv7+XTeRuvdeePFF+8domgzsrLz+Onz7rez3mz79jFzL3LmQkSFv79ghNQCtEi+KvwwqyFMoFAqF4nrAy0tO5m7dKn2Md++W5ditW+X9M2dKGzyAf/4Thg07ex27dsmsoBBSp+/wYVna3bUL3nzTXtBZcc2jyrUKhUKhUFwvjBkD7757ZtoWpBPKa6/J5VaaN5dZvaVL4R//kAMeDRrAypXQqhW895503fDwsF//0aPy/u3bpZXb0KFX5W0p/hgqyFMoFAqF4nph4kRISZHlVtus23PP2T+uSRMZ6JlMMjC0DlmMGyd/P/wwTJlyJjCcMkWWcvfskRnDBx+Uyz09oUePK/qWFH8cVa5VKBQKheJ6wclJlmI3bYLNm+0dMKKiztx2dZWPvfHG2qdoW7SAp5+WDh6jR0sZlwYNZD/fwoVnHvfzzzIjqLgmURIqNVASKgqFQqG4bigpkd65IPvqNm2S/XZ/JPv2/fdSlBkgLEz29H31lbJTq2OUhIpCoVAoFH9H3NxkydXFRf7ds+cfX9eUKeDoKNfXqpWc3l2+XA53qCDvmkQFeQqFQqFQXM9YM3mXg4kToaBA/hZCZvO+/BIyMyEwEE6dgtBQ2eu3d6/U25s6VT5WcdVRPXkKhUKhUCguDicnqZnn7y//HjJE9uStXCnlVsaMkWLKIHv6PvpISrGkpEBFherfu8qonrwaqJ48hUKhUCgugcmTpS6fiwvExclls2fLoY6aPPKILPsqLhvn68lTmTyFQqFQKBR/nAcekO4YcXFn7NTuukv66n7yif1jP/gAXn316m/j3xQV5CkUCoVCofjjdOsm3TTeeAP+9z/prVtQAE2byqDv66/tHz9/vrRRU1xxVJCnUCgUCoXizxERAQMHyp49a0/ehAnyd3Q0+PnZP37GDCgsvLrb+DdE9eTVwK9Bc23Qs9/U9WYoFAqFQvHXxWKRE7Y1qa6G/fvkbR9f6bWr+FPMvq+76slTKBQKhUJxlagtwAPZp+fgIG/n5aps3hVGZfJqoKZrFQqFQqG4gsTHw8svS8mVbt3gww/reov+0lxz07VCiFlCiH36zwkhxD59eUMhRKnNfZ/ZPKeDEOKgECJeCPGBEFJZUQhh1tcXL4TYLoRoaPOcqUKIY/rP1Kv9PhUKhUKhUNQgKkpapE2ZAjt2SAHl81FRIcu/ikumToI8TdNu0jStnaZp7YC5wDybu49b79M07T6b5Z8C9wBN9J+h+vJpQK6maVHAe8B/AYQQfsCLQBegM/CiEML3Cr4thUKhUCgUF8stt4CzMzz0ECQk2N+naVBUBOXl0L27FFW+EFlZsGaNEly2oU578vRs3I3ATxd4XAjgpWnaVk3Wl78Hxuh3jwam67d/AQbo6x0CrNQ0LUfTtFxgJWcCQ4VCoVAoFHVJYCC8+KLM5N14o72syltvScu0Bx6Qf3///bnXk5wM770Ht90GTz4JK1Zc2e3+C1HXgxe9gHRN047ZLGskhNgrhFgvhOilLwsDbPO5p/Rl1vuSATRNqwLyAX/b5bU8R6FQKBQKRV0zYACMGiVvL1kifxcWSseM0lLpfWtlyxb751ZXQ2Ki1N378UfIzpbL338fysqu9Jb/JbhiQZ4QYpUQ4vdafkbbPOwW7LN4qUCEpmkxwOPATCGEF1Cbs7E1H3uu+873nJrbeo8QYpcQYldmZuaF3ppCoVAoFIrLgRBSV691a1i4UJZaDxyQ9911F4wdCxs3yqzfPJvOrlOn4PnnYeJEGRACtGgB774LmZnw2muqjw9wvFIr1jRt4PnuF0I4AuOADjbPKQfK9du7hRDHgWhkFi7c5unhwGn99imgPnBKX6c3kKMv71vjOevOsa1fAF+AnK69mPenUCgUCoXiMjFqlAzMRo2C1FRwdISpU8HVVd7fty/MmSO9b//9bxgz5sxzS0uhf394800ZJPbvD0uXQu/eMGhQXbyba4a6LNcOBI5qmmaUYYUQgUIIB/12JHLAIkHTtFSgUAjRVe+3mwIs0J+2ELBOzk4A1uh9e8uBwUIIX33gYrC+TKFQKBQKxbXE4MHyd2qq/B0dfSbAA7jjDggOliXbe+89s/zll2HkSDnEATIz+MYbEBp6pvz7N+aKZfIugps5e+CiN/CyEKIKqAbu0zTN2ol5P/Ad4Aos1X8AvgZmCCHikRm8mwE0TcsRQrwC7NQf97LNuhQKhUKhUFwruLtD48Zw/DiMHy9/bAkKglmzoE8fOYk7cKCcuh02DIYPt3+sySQ9c1evPrfzxt8EJYZcAyWGrFAoFApFHZCTA0ePyuDtXGzZAm5u0K7d+de1ciU88wy8+ioMvb6FNa45MWSFQqFQKBQKO/z8zh/ggbz/QgEeyKndqCg5dfs3RgV5CoVCoVAori9MJjnEceQI/P57XW9NnaGCPIVCoVAoFNcfY8aAry98882fX9dfVI5FBXkKhUKhUCiuP9zcYPRo2LQJ8vLksnnz4IsvICXl4tZhscjH9+8v13Mp5ORIeZc6RAV5CoVCoVAork+6dZOB2tGj0tf2P/+RQdvo0Wc7aIB8bEYG/OMfsG6d1Nv74gvpo/vOO5f22u+8AzfddFnexh+lLiVUFAqFQqFQKK4cUVHy9zffQFyc/X2PPCK9cW+5RU7jNm0KDz54Juu3ceOZx/bsKTN5X30lnTjOR1aWdOFYvlw+rw5RmTyFQqFQKBTXJ97e8veePTIb9/DDUj/PzU0u/+QT6NVLiirfdhvk5595bu/e8veLL8LTT8vbc+ac+7U0DdaulZIt1j7AwMDL+34uEZXJUygUCoVCcf0ycybcequ83a+fDPxWroTnnpMlWVueeQacnKQ4c//+kJYmnTYAnnxSWqft3AmdOp15jlVw+fXX7f11ARo0uGJv62JQYsg1UGLICoVCoVBcZ5w8CeXl0i7NiqbBwYOweLHMuAkBd955boeM06fh5puhrEwGdAMGQFISjBsnRZf/9S/5uFtukZZs3bpBmzbg4HBF39r5xJBVkFcDFeQpFAqFQqGolbg4mRUMDISPP4a5c6XdGsggceZMaNLkqm6ScrxQKBQKhUKh+LNER8Pzz0NmJtx445kAD2Dy5Kse4F0IFeQpFAqFQqFQXCwDBshhDR8f+XdMjJRneeSROt2s2lCDFwqFQqFQKBQXi4cHvPeevJ2RISd1PTzqdpvOgQryFAqFQqFQKP4IQUF1vQXnRZVrFQqFQqFQKK5DVJCnUCgUCoVCcR2igjyFQqFQKBSK6xAV5CkUCoVCoVBch6ggT6FQKBQKheI6RAV5CoVCoVAoFNchKshTKBQKhUKhuA5RQZ5CoVAoFArFdYgK8hQKhUKhUCiuQ1SQp1AoFAqFQnEdIjRNq+ttuKYQQmQCJ6/CSwUAWVfhdRQXh9of1x5qn1x7qH1ybaH2x7VHXeyTBpqmBdZ2hwry6gghxC5N0zrW9XYoJGp/XHuofXLtofbJtYXaH9ce19o+UeVahUKhUCgUiusQFeQpFAqFQqFQXIeoIK/u+KKuN0Bhh9of1x5qn1x7qH1ybaH2x7XHNbVPVE+eQqFQKBQKxXWIyuQpFAqFQqFQXIeoIO8qI4QYKoSIFULECyGeruvt+bsghKgvhFgrhDgihDgkhHhUX+4nhFgphDim//a1ec4z+n6KFUIMqbutv34RQjgIIfYKIRbrf6v9UYcIIXyEEL8IIY7q/yvd1D6pO4QQ/9CPV78LIX4SQrio/XF1EUJ8I4TIEEL8brPskveBEKKDEOKgft8HQghxNbZfBXlXESGEA/AxMAxoAdwihGhRt1v1t6EK+D9N05oDXYEH9c/+aWC1pmlNgNX63+j33Qy0BIYCn+j7T3F5eRQ4YvO32h91y/+AZZqmNQPaIveN2id1gBAiDHgE6KhpWivAAfl5q/1xdfkO+Xna8kf2wafAPUAT/afmOq8IKsi7unQG4jVNS9A0rQL4GRhdx9v0t0DTtFRN0/botwuRJ68w5Oc/XX/YdGCMfns08LOmaeWapiUC8cj9p7hMCCHCgRuAr2wWq/1RRwghvIDewNcAmqZVaJqWh9ondYkj4CqEcATcgNOo/XFV0TRtA5BTY/El7QMhRAjgpWnaVk0OQnxv85wrigryri5hQLLN36f0ZYqriBCiIRADbAfqaZqWCjIQBIL0h6l9deV5H3gSsNgsU/uj7ogEMoFv9RL6V0IId9Q+qRM0TUsB3gaSgFQgX9O0Faj9cS1wqfsgTL9dc/kVRwV5V5faavBqvPkqIoTwAOYCj2maVnC+h9ayTO2ry4QQYgSQoWna7ot9Si3L1P64vDgC7YFPNU2LAYrRy1DnQO2TK4je5zUaaASEAu5CiEnne0oty9T+uLqcax/U2b5RQd7V5RRQ3+bvcGT6XXEVEEI4IQO8HzVNm6cvTtdT6ei/M/Tlal9dWXoAo4QQJ5BtC8vYgVsAAAQ5SURBVP2FED+g9kddcgo4pWnadv3vX5BBn9ondcNAIFHTtExN0yqBeUB31P64FrjUfXBKv11z+RVHBXlXl51AEyFEIyGEM7JBc2Edb9PfAn2S6WvgiKZp79rctRCYqt+eCiywWX6zEMIshGiEbJTdcbW293pH07RnNE0L1zStIfL/YI2maZNQ+6PO0DQtDUgWQjTVFw0ADqP2SV2RBHQVQrjpx68ByF5itT/qnkvaB3pJt1AI0VXfl1NsnnNFcbwaL6KQaJpWJYR4CFiOnJT6RtO0Q3W8WX8XegCTgYNCiH36smeBN4DZQohpyIPqRABN0w4JIWYjT3JVwIOaplVf9a3++6H2R93yMPCjfhGaANyBTAaofXKV0TRtuxDiF2AP8vPdi3RT8EDtj6uGEOInoC8QIIQ4BbzIHztO3Y+c1HUFluo/V377leOFQqFQKBQKxfWHKtcqFAqFQqFQXIeoIE+hUCgUCoXiOkQFeQqFQqFQKBTXISrIUygUCoVCobgOUUGeQqFQKBQKxXWICvIUCoUCEEL4CyH26T9pQogU/XaREOKTq7QN7YQQw6/GaykUiusfpZOnUCgUgKZp2UA7ACHES0CRpmlvX+XNaAd0BJZc5ddVKBTXISqTp1AoFOdBCNFXCLFYv/2SEGK6EGKFEOKEEGKcEOJNIcRBIcQy3ToPIUQHIcR6IcRuIcRyqwVSjfVOFEL8LoTYL4TYoAsQvwzcpGcQbxJCuAshvhFC7BRC7BVCjNafe7sQYoH+mrFCiBev5meiUCj+GqggT6FQKC6NxsANSPP4H4C1mqa1BkqBG/RA70NggqZpHYBvgNdqWc8LwBBN09oCozRNq9CXzdI0rZ2mabOA55CWb52AfsBbQgh3/fmdgduQ2b+JQoiOV+btKhSKvyqqXKtQKBSXxlJN0yqFEAeR9oTL9OUHgYZAU6AVsFLaVOIApNayns3Ad7oN0rxzvNZgYJQQ4gn9bxcgQr+9Ui8xI4SYB/QEdv2J96VQKK4zVJCnUCgUl0Y5gKZpFiFEpXbGG9KCPKYK4JCmad3OtxJN0+4TQnRBZgX3CSHa1fIwAYzXNC3WbqF8Xk1PSuVRqVAo7FDlWoVCobi8xAKBQohuAEIIJyFEy5oPEkI01jRtu6ZpLwBZQH2gEPC0edhy4GGhpwSFEDE29w0SQvgJIVyBMcjMoEKhUBioIE+hUCguI3pv3QTgv0KI/cA+oHstD31LH9j4HdgA7AfWAi2sgxfAK4ATcEB/3Cs2z98EzNDXP1fTNFWqVSgUdogzlQaFQqFQ/BUQQtwOdNQ07aG63haFQnHtojJ5CoVCoVAoFNchKpOnUCgUCoVCcR2iMnkKhUKhUCgU1yEqyFMoFAqFQqG4DlFBnkKhUCgUCsV1iAryFAqFQqFQKK5DVJCnUCgUCoVCcR2igjyFQqFQKBSK65D/B3LFdJhDGSQKAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "MTM = N * (1 / GBPHUF_val_2029 - 1 / K)\n", + "\n", + "n_paths_to_plot = 20\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.
\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 +}