"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ar1_sim_pos.plot(figsize=(16, 8))\n",
"res_predict.plot(\n",
" label=\"in-/out-sample forecast\", title=\"Prediction And Forecast of AR(1)\"\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "0b0e3177-dba8-4805-90ac-42cda3071451",
"metadata": {},
"source": [
"# Identification of the Order of an AR Model "
]
},
{
"cell_type": "markdown",
"id": "ff7ff00d-616c-4dd6-974a-2a84bcfb0888",
"metadata": {},
"source": [
"The usual practice of order identification is called **the Box-Jenkins Methodology**, which will be explicated below, for now we simply perform two techniques:\n",
"1. Partial Autocorrelation Function\n",
"2. Akaike or Bayesian Information Criteria ($\\text{AIC}$, $\\text{BIC}$)|"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "a7f39af1-f36e-4377-b6ef-0319c9e2ec51",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ma1_sim_neg.plot(figsize=(16, 8))\n",
"res_predict.plot(\n",
" label=\"in-/out-sample forecast\", title=\"Prediction And Forecast of MA(1)\"\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "2a1af083-64f6-4f15-a32f-3930ce835e33",
"metadata": {},
"source": [
"Note that all forecasts beyond one-step ahead forecast will all be the same, namely a straight line."
]
},
{
"cell_type": "markdown",
"id": "98603940-7575-453f-8fb2-7c536adcfe1e",
"metadata": {},
"source": [
"# Connection of AR and MA "
]
},
{
"cell_type": "markdown",
"id": "fde87e37-f630-4475-8c19-c91ab72fd0f5",
"metadata": {},
"source": [
"We can show any $\\text{AR(1)}$ can be rewritten as an $\\text{MA($\\infty$)}$ model\n",
"$$\n",
"\\text{AR(1)}: \\qquad Y_{t}=\\phi_0+\\phi_{1} Y_{t-1}+u_{t}\n",
"$$\n",
"Perform a recursive substitution\n",
"\\begin{align}\n",
"y_t &= \\phi_0 + \\phi_1(\\phi_0 + \\phi_1y_{t-2}+u_{t-1})+u_t = \\phi_0 + \\phi_1\\phi_0+\\phi_1^2y_{t-2}+\\phi_1u_{t-1}+u_t\\\\\n",
" &= \\phi_0 + \\phi_1\\phi_0+\\phi_1^2(\\phi_0+\\phi_1y_{t-3}+u_{t-2})+\\phi_1u_{t-1}+u_t=\\phi_0 + \\phi_1\\phi_0 +\\phi_1^2\\phi_0 +\\phi_1^3y_{t-3}+\\phi_1^2u_{t-2}+\\phi_1u_{t-1}+u_t\\\\\n",
" &\\qquad\\vdots\\\\\n",
" &=\\frac{\\phi_0}{1-\\phi_1}+\\sum_{i=0}^\\infty\\phi_1^iu_{t-1}\n",
"\\end{align}\n",
"It holds because of the fact\n",
"$$\n",
"\\lim_{i\\rightarrow\\infty}\\phi_1^iy_{t-i}=0\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "00d39b76-6436-43ed-a7a3-39cd527a0198",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(nrows=2, ncols=1, figsize=(12, 8))\n",
"ar = np.array([1])\n",
"ma = np.array([0.8**i for i in range(100)])\n",
"mod_obj = ArmaProcess(ar, ma)\n",
"ma_sim = mod_obj.generate_sample(nsample=200)\n",
"g = plot_acf(\n",
" ma_sim, ax=ax[0], lags=50, title=\"$MA(\\infty), \\phi_i = .9^i, i\\in \\mathbb{Z}^+$\"\n",
")\n",
"\n",
"ar = np.array([1, -0.8])\n",
"ma = np.array([1])\n",
"mod_obj = ArmaProcess(ar, ma)\n",
"ar_sim = mod_obj.generate_sample(nsample=200)\n",
"g = plot_acf(ar_sim, ax=ax[1], lags=50, title=\"$AR(1), \\phi=.9$\")"
]
},
{
"cell_type": "markdown",
"id": "faff85ae-6651-4b7a-81a3-e0fcdf2d7044",
"metadata": {},
"source": [
"# ARMA and ARIMA "
]
},
{
"cell_type": "markdown",
"id": "74d9995f-8d23-4bc7-bbf4-9df74599b64f",
"metadata": {},
"source": [
"Now we combine $\\text{AR}$ and $\\text{MA}$ models as $\\text{ARMA}$ and $\\text{ARMIA}$."
]
},
{
"cell_type": "markdown",
"id": "8b6c72a5-b010-48c8-9477-ef94e6a1b6f4",
"metadata": {},
"source": [
"An $\\text{ARMA}(1,1)$ process is a combination of $\\text{AR}$ and $\\text{MA}$\n",
"$$\n",
"Y_{t}=\\phi_0+\\phi_{1} Y_{t-1}+\\theta_{0} u_{t}+\\theta_{1} u_{t-1}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "4318d63b-15a1-4abc-aca4-a55cec405ec7",
"metadata": {},
"source": [
"In general, $\\text{ARMA}(p,q)$ process has the form\n",
"$$\n",
"Y_t = \\phi_0 + \\phi_i\\sum_{i=1}^pY_{t-i}+\\sum_{i=1}^q\\theta_i u_{t-i}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "216d1b67-0c58-4c3e-868b-61e8a58c2eb7",
"metadata": {},
"source": [
"And $\\text{ARIMA}$ model is essentially the same as $\\text{ARMA}$, if we have to difference a series $d$ times to render it stationary then apply the $\\text{ARIMA}$ model, we say that the original time series is $\\text{ARIMA}(p,d,q)$. \n",
"\n",
"With the same token, $\\text{ARIMA}(p,0,q)$ process is the same as $\\text{ARMA}(p,q)$."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "710ffa2a-2beb-432d-b9ea-1e58dded3873",
"metadata": {},
"outputs": [],
"source": [
"usdjpy = pd.read_csv(\"USDJPY_1m.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "7162b7c8-3932-4f95-b708-c1b53f668c0b",
"metadata": {},
"outputs": [],
"source": [
"usdjpy_close = usdjpy[\"close\"].dropna()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "f8cfe5dc-24d6-4b7c-8d9a-6765d2f2adef",
"metadata": {},
"outputs": [],
"source": [
"mod_obj = ARIMA(usdjpy_close, order=(2, 1, 2))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "6e2f233f-d8f5-4203-8d56-2784040ef62e",
"metadata": {},
"outputs": [],
"source": [
"results = mod_obj.fit()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "578931a8-767a-4d80-89f5-ae6de5c8ad06",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" SARIMAX Results \n",
"==============================================================================\n",
"Dep. Variable: close No. Observations: 5000\n",
"Model: ARIMA(2, 1, 2) Log Likelihood 17568.668\n",
"Date: Sun, 09 Jun 2024 AIC -35127.336\n",
"Time: 19:00:38 BIC -35094.751\n",
"Sample: 0 HQIC -35115.915\n",
" - 5000 \n",
"Covariance Type: opg \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ar.L1 0.9867 0.553 1.785 0.074 -0.097 2.070\n",
"ar.L2 -0.2962 0.530 -0.559 0.576 -1.334 0.742\n",
"ma.L1 -0.9737 0.555 -1.753 0.080 -2.062 0.115\n",
"ma.L2 0.2785 0.533 0.522 0.601 -0.767 1.324\n",
"sigma2 5.18e-05 5.06e-07 102.362 0.000 5.08e-05 5.28e-05\n",
"===================================================================================\n",
"Ljung-Box (L1) (Q): 0.01 Jarque-Bera (JB): 8939.75\n",
"Prob(Q): 0.94 Prob(JB): 0.00\n",
"Heteroskedasticity (H): 0.48 Skew: -0.26\n",
"Prob(H) (two-sided): 0.00 Kurtosis: 9.53\n",
"===================================================================================\n",
"\n",
"Warnings:\n",
"[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
]
}
],
"source": [
"print(results.summary())"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "8ef50c1d-8619-4461-ac8d-b21c90e130ed",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = tsa.plot_predict(results, 100, 5100)\n",
"usdjpy_close.plot(figsize=(18, 8))"
]
},
{
"cell_type": "markdown",
"id": "54bccf8c-8928-4931-b2c6-6de9452477bf",
"metadata": {},
"source": [
"# The Box-Jenkins Methodology "
]
},
{
"cell_type": "markdown",
"id": "61113dbc-f136-4671-ac99-541d7c5ac909",
"metadata": {},
"source": [
"With so many options at hands, what model to apply to a time series? This is where **Box-Jenkins Methodology** kick in, which provides a systematic method of **identifying**, **estimating** and **checking** with $\\text{ARIMA}$ models. "
]
},
{
"cell_type": "markdown",
"id": "0c5ea3b1-ea36-4711-8c26-d0f287e73c7e",
"metadata": {},
"source": [
"## ACF VS PACF "
]
},
{
"cell_type": "markdown",
"id": "1449284d-c9ad-48db-89c6-4fd650463629",
"metadata": {},
"source": [
"Before discussion of $\\text{ARIMA}$ identification, we should understand the difference of **autocorrelation function** (ACF) and **partial autocorrelation function** (PACF), which both are important tools for identifying lags of $\\text{ARIMA}$."
]
},
{
"cell_type": "markdown",
"id": "e541493a-d7bf-4ced-b1c8-60c5bc9c48a9",
"metadata": {},
"source": [
"We have shown that the formula of sample ACF\n",
"\\begin{aligned}\n",
"&\\hat{\\gamma}_{k}=\\frac{\\sum\\left(Y_{t}-\\bar{Y}\\right)\\left(Y_{t+k}-\\bar{Y}\\right)}{n-k} \\\\\n",
"&\\hat{\\gamma}_{0}=\\frac{\\sum\\left(Y_{t}-\\bar{Y}\\right)^{2}}{n-1}\\\\\n",
"&\\hat{\\rho}_{k} =\\frac{\\hat{\\gamma}_{k}}{\\hat{\\gamma}_{0}}=\\frac{\\text { covariance at lag } k}{\\text { variance }}\n",
"\\end{aligned}"
]
},
{
"cell_type": "markdown",
"id": "f5ca7bc9-cbbb-441c-94b3-dd1441eac0d4",
"metadata": {},
"source": [
"However, PACF doesn't have a formula. Simply speaking, PACF requires removing all correlations in between. e.g. if you are measuring variables $k$ periods apart, then all influences from other variables in period $"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(nrows=2, ncols=1, figsize=(16, 8))\n",
"fig = plot_acf(\n",
" np.log(df_cpi).diff().dropna(),\n",
" ax=ax[0],\n",
" lags=100,\n",
" color=\"red\",\n",
" zero=False,\n",
" title=\"ACF of Urban CPI\",\n",
")\n",
"fig = plot_pacf(\n",
" np.log(df_cpi).diff().dropna(),\n",
" ax=ax[1],\n",
" lags=100,\n",
" color=\"red\",\n",
" zero=False,\n",
" title=\"PACF of Urban CPI\",\n",
" method=\"ols\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "992510c9-5cad-4d11-80d6-7aeda135010d",
"metadata": {},
"source": [
"## Simulation of ACF and PACF "
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "088cf605-7775-4c00-96a2-2fe8258cc974",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"arparams = np.array([[0.63, -0.5], [-0.23, 0.8], [-0.5, -0.5]])\n",
"maparams = np.array([[0.58, 0.45], [0.78, 0.34], [0.8, 0.8]])\n",
"\n",
"fig, ax = plt.subplots(nrows=2, ncols=3, figsize=(16, 5))\n",
"fig.tight_layout(pad=2.0)\n",
"ar = np.r_[1, -arparams[0]]\n",
"ma = np.r_[1, maparams[0]]\n",
"arma22 = ArmaProcess(ar, ma).generate_sample(nsample=500)\n",
"fig = plot_acf(arma22, ax=ax[0, 0])\n",
"fig = plot_pacf(arma22, ax=ax[1, 0], method=\"ols\")\n",
"\n",
"ar = np.r_[1, -arparams[1]]\n",
"ma = np.r_[1, maparams[1]]\n",
"arma22 = ArmaProcess(ar, ma).generate_sample(nsample=500)\n",
"fig = plot_acf(arma22, ax=ax[0, 1])\n",
"fig = plot_pacf(arma22, ax=ax[1, 1], method=\"ols\")\n",
"\n",
"ar = np.r_[1, -arparams[2]]\n",
"ma = np.r_[1, maparams[2]]\n",
"arma22 = ArmaProcess(ar, ma).generate_sample(nsample=500)\n",
"fig = plot_acf(arma22, ax=ax[0, 2])\n",
"fig = plot_pacf(arma22, ax=ax[1, 2], method=\"ols\")"
]
},
{
"cell_type": "markdown",
"id": "f493e1fc-3789-4d3c-acc3-555c1796a4c9",
"metadata": {},
"source": [
"How you set the parameters has to be consistent with lag operator form of $\\text{ARMA}$ model as below, which is the exact reason we set the opposite sign of $\\phi$'s."
]
},
{
"cell_type": "markdown",
"id": "e1020a03-76cb-4df8-a089-daeb5a83cff2",
"metadata": {},
"source": [
"$$\n",
"\\left(1-\\phi_{1}L-\\ldots-\\phi_{p}L^{p}\\right)y_{t} =\n",
" \\left(1+\\theta_{1}L+\\ldots+\\theta_{q}L^{q}\\right)\\varepsilon_{t}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "72c4e586-d76e-4cd7-9e94-de7e65151219",
"metadata": {},
"source": [
"## Identification of ARMA "
]
},
{
"cell_type": "markdown",
"id": "1f23380f-5f0e-49e4-b808-023b211766e6",
"metadata": {},
"source": [
"The identification of $\\text{ARMA}$ doesn't have clear-cut rules, but here are four guideline to help you decide the lags of $\\text{ARMA}$ model.\n",
"1. If PACF shows significant lags through $p$ and ACF dampens exponentially, try $\\text{AR}(p)$\n",
"2. If ACF shows significant lags through $q$ and PACF dampens exponentially, try $\\text{MA}(q)$\n",
"3. Both ACF and PACF dampen exponentially with significant lags $(p, q)$, try $\\text{ARMA}(p, q)$ "
]
},
{
"cell_type": "markdown",
"id": "a0b7faa3-5954-47f2-8dd9-2ffedb17bbbe",
"metadata": {},
"source": [
"# Vector Autoregression (VAR) "
]
},
{
"cell_type": "markdown",
"id": "ebda2de1-0f37-4af4-8f66-e1fbd1163e6a",
"metadata": {},
"source": [
"A **Vector Autogression** model has at least two variables, though it seems like a system of equations, every equation can be estimated by independently by OLS. This is viable because VAR model doesn't differentiate endogenous or exogenous variables."
]
},
{
"cell_type": "markdown",
"id": "5d000312-81c8-4b68-9a79-6b07d4722990",
"metadata": {},
"source": [
"The general two variable $\\text{VAR(p)}$ model has the form\n",
"\\begin{align}\n",
"Y_t &= \\alpha_1 + \\sum_{i=1}^p\\beta_i Y_{t-i} +\\sum_{i=1}^p\\gamma_i X_{t-i}+u_{1t}\\\\\n",
"X_t &= \\alpha_2 + \\sum_{i=1}^p\\eta_i X_{t-i} +\\sum_{i=1}^p\\theta_i Y_{t-i}+u_{2t}\n",
"\\end{align}\n",
"where $Y$ and $X$ are variables, $\\alpha$'s are constants, $u_1$ and $u_t$ are shocks in the context of VAR."
]
},
{
"cell_type": "markdown",
"id": "aa0b2905-6fd0-4f55-8043-219ea0514c63",
"metadata": {},
"source": [
"Note that VAR is a type atheortical model, unlike simultaneous-equation models, VAR doesn't deal with model identification which is a good news for practitioners. However, it doesn't mean you can add any variables into the model, if the variables have little connection with each other, the forecasting power is also severely undermined. "
]
},
{
"cell_type": "markdown",
"id": "d6f35395-5493-4d62-8ec3-427749a98cfd",
"metadata": {},
"source": [
"To illustrate estimation process, we import quarterly GDP and monthly consumer sentiment from FRED, however in order to take advantage of abundant monthly observation of consumer sentiment, quarterly GDP shall be resampled into monthly by linear interpolation."
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "5591bbe5-d3c7-450f-8dfa-ce80f7657f71",
"metadata": {},
"outputs": [],
"source": [
"start = dt.datetime(1980, 1, 1)\n",
"end = dt.datetime(2021, 10, 1)\n",
"df = pdr.data.DataReader([\"GDP\", \"UMCSENT\"], \"fred\", start=start, end=end)\n",
"df.dropna()\n",
"df.columns = [\"GDP\", \"Consumer_confidence\"]"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "cb864501-5a3d-4e1b-a69b-32aeccd28878",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
GDP
\n",
"
Consumer_confidence
\n",
"
\n",
"
\n",
"
DATE
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
1980-01-01
\n",
"
2789.842000
\n",
"
67.0
\n",
"
\n",
"
\n",
"
1980-02-01
\n",
"
2792.345333
\n",
"
66.9
\n",
"
\n",
"
\n",
"
1980-03-01
\n",
"
2794.848667
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"
56.5
\n",
"
\n",
"
\n",
"
1980-04-01
\n",
"
2797.352000
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52.7
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\n",
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\n",
"
1980-05-01
\n",
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2817.062333
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51.7
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\n",
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\n",
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"
],
"text/plain": [
" GDP Consumer_confidence\n",
"DATE \n",
"1980-01-01 2789.842000 67.0\n",
"1980-02-01 2792.345333 66.9\n",
"1980-03-01 2794.848667 56.5\n",
"1980-04-01 2797.352000 52.7\n",
"1980-05-01 2817.062333 51.7"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[\"GDP\"] = df[\"GDP\"].resample(\"MS\").interpolate(method=\"linear\")\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"id": "cc227054-5f91-4f6d-ab9b-585f843db6c7",
"metadata": {},
"source": [
"Inspect the dataframe, we have quite abundant observations, $504$ in total."
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "32f88424-1aff-48f0-8900-ff07286f7a3e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"DatetimeIndex: 502 entries, 1980-01-01 to 2021-10-01\n",
"Freq: MS\n",
"Data columns (total 2 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 GDP 502 non-null float64\n",
" 1 Consumer_confidence 502 non-null float64\n",
"dtypes: float64(2)\n",
"memory usage: 11.8 KB\n"
]
}
],
"source": [
"df.info()"
]
},
{
"cell_type": "markdown",
"id": "987489bb-d309-4419-b38f-e5f57fdd3d8a",
"metadata": {},
"source": [
"Perform ADF test, keep in mind that $H_0$ of Augmented Dicky-Fuller test is nonstationary. The results indicate that we only reject null hypothesis that consumer sentiment index is nonstationary, i.e. highly likely consumer sentiment is stationary."
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "91ce0378-e95f-46b3-a17b-d975b0de78aa",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ADF Statistic of Quarterly GDP: 3.861765\n",
"p-value: 1.000000\n"
]
}
],
"source": [
"results_dickeyfuller = adfuller(df[\"GDP\"])\n",
"print(\"ADF Statistic of Quarterly GDP: %f\" % results_dickeyfuller[0])\n",
"print(\"p-value: %f\" % results_dickeyfuller[1])"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "8553cad6-cf92-43e4-9b28-eafac3bd6259",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ADF Statistic of Consumer Sentiment: -3.007303\n",
"p-value: 0.034218\n"
]
}
],
"source": [
"results_dickeyfuller = adfuller(df[\"Consumer_confidence\"])\n",
"print(\"ADF Statistic of Consumer Sentiment: %f\" % results_dickeyfuller[0])\n",
"print(\"p-value: %f\" % results_dickeyfuller[1])"
]
},
{
"cell_type": "markdown",
"id": "6d6da209-bf30-4bbf-bff8-4f597dbe3b4b",
"metadata": {},
"source": [
"Change GDP level data into growth rate."
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "a7e8a4c4-1001-447f-bf0d-6031daa45d9e",
"metadata": {},
"outputs": [],
"source": [
"df[\"GDP_growth\"] = df[\"GDP\"].pct_change()\n",
"df = df.dropna()\n",
"df = df.drop([\"GDP\"], axis=1)"
]
},
{
"cell_type": "markdown",
"id": "93d4e601-49ba-4005-be1b-bda9c8be3024",
"metadata": {},
"source": [
"Observe the moving pattern of both series."
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "c90576ff-ca5f-452f-9c51-791ceb89b9b8",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = df.plot(secondary_y=\"Consumer_confidence\", figsize=(16, 7))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "8af2086f-9b60-4c40-9130-953ca99b2a9b",
"metadata": {},
"source": [
"Test stationarity of GDP growth rate."
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "06dc9e48-20ba-4aa2-b433-5f9a2b340eda",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ADF Statistic: -4.666394\n",
"p-value: 0.000097\n"
]
}
],
"source": [
"results_dickeyfuller = adfuller(df[\"GDP_growth\"])\n",
"print(\"ADF Statistic: %f\" % results_dickeyfuller[0])\n",
"print(\"p-value: %f\" % results_dickeyfuller[1])"
]
},
{
"cell_type": "markdown",
"id": "cb2bdbd5-e52c-41b4-bf06-304970e40c2c",
"metadata": {},
"source": [
"The result indicates GDP growth rate is stationary. Then we instantiate a VAR object."
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "d788d1e0-a2d3-4edb-9ea4-8c1a4eb1d202",
"metadata": {},
"outputs": [],
"source": [
"from statsmodels.tsa.api import VAR\n",
"\n",
"var_model = VAR(df, freq=\"MS\")"
]
},
{
"cell_type": "markdown",
"id": "74d110da-c8c5-438b-8105-a4792f92d41f",
"metadata": {},
"source": [
"Fit the model, order of lags is chosen based on $\\text{BIC}$ though both criteria will be calculated. The default maximum tested lags are $12$ and I suggest no more than $12$, the VAR parameters consumes degree of freedom fast!\n",
"\n",
"Suppose you have a $5$ variable with $5$ lags VAR model, each equation has $25+1=26$ parameters, in total $26\\times5=130$ parameters, that means your observations must way more than this number to function properly."
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "cbc62107-c5c4-4fe5-9b2e-17243b52ea44",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 7, BIC -> 4, FPE -> 7, HQIC -> 7>\n",
"Using 4 based on bic criterion\n"
]
}
],
"source": [
"var_results = var_model.fit(verbose=True, ic=\"bic\", method=\"ols\")"
]
},
{
"cell_type": "markdown",
"id": "00f26cff-5574-40b1-bf65-00f475d4f0e3",
"metadata": {},
"source": [
"Python streamlined the whole process, after choosing the appropriate lags, estimation can be promptly printed."
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "811771f9-f2e5-45a7-911d-529fce475b50",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Summary of Regression Results \n",
"==================================\n",
"Model: VAR\n",
"Method: OLS\n",
"Date: Sun, 09, Jun, 2024\n",
"Time: 19:01:07\n",
"--------------------------------------------------------------------\n",
"No. of Equations: 2.00000 BIC: -8.92354\n",
"Nobs: 497.000 HQIC: -9.01614\n",
"Log likelihood: 862.952 FPE: 0.000114383\n",
"AIC: -9.07596 Det(Omega_mle): 0.000110350\n",
"--------------------------------------------------------------------\n",
"Results for equation Consumer_confidence\n",
"=========================================================================================\n",
" coefficient std. error t-stat prob\n",
"-----------------------------------------------------------------------------------------\n",
"const 4.305388 1.299787 3.312 0.001\n",
"L1.Consumer_confidence 0.908926 0.045336 20.049 0.000\n",
"L1.GDP_growth 182.627342 59.155161 3.087 0.002\n",
"L2.Consumer_confidence -0.069733 0.061496 -1.134 0.257\n",
"L2.GDP_growth -47.589603 73.223635 -0.650 0.516\n",
"L3.Consumer_confidence 0.052847 0.061675 0.857 0.392\n",
"L3.GDP_growth 50.010449 73.329638 0.682 0.495\n",
"L4.Consumer_confidence 0.047594 0.044997 1.058 0.290\n",
"L4.GDP_growth 41.801889 59.497373 0.703 0.482\n",
"=========================================================================================\n",
"\n",
"Results for equation GDP_growth\n",
"=========================================================================================\n",
" coefficient std. error t-stat prob\n",
"-----------------------------------------------------------------------------------------\n",
"const 0.001967 0.000914 2.151 0.031\n",
"L1.Consumer_confidence -0.000070 0.000032 -2.204 0.028\n",
"L1.GDP_growth 0.854911 0.041611 20.545 0.000\n",
"L2.Consumer_confidence 0.000053 0.000043 1.218 0.223\n",
"L2.GDP_growth 0.007838 0.051507 0.152 0.879\n",
"L3.Consumer_confidence 0.000029 0.000043 0.669 0.503\n",
"L3.GDP_growth -0.523194 0.051582 -10.143 0.000\n",
"L4.Consumer_confidence -0.000021 0.000032 -0.653 0.514\n",
"L4.GDP_growth 0.396856 0.041852 9.482 0.000\n",
"=========================================================================================\n",
"\n",
"Correlation matrix of residuals\n",
" Consumer_confidence GDP_growth\n",
"Consumer_confidence 1.000000 0.070592\n",
"GDP_growth 0.070592 1.000000\n",
"\n",
"\n",
"\n"
]
}
],
"source": [
"print(var_results.summary())"
]
},
{
"cell_type": "markdown",
"id": "6f8ab789-7f99-4a75-a353-b604e1361032",
"metadata": {},
"source": [
"According to the results, the estimated VAR model is\n",
"\\begin{align}\n",
"Y_t&= 0.001966 + 0.86 Y_{t-1} + 0.0058 Y_{t-2}-0.52 Y_{t-3}+0.39 Y_{t-4} -0.000061 S_{t-1} +0.000043 S_{t-2} + 0.00004 S_{t-3}-0.000031 S_{t-4}\\\\\n",
"S_t&= 4.336760 + 0.90 S_{t-1} -0.069 S_{t-2}+0.058 S_{t-3}+0.048 S_{t-4} +189.72 Y_{t-1} -39.39 Y_{t-2} + 40.49 Y_{t-3} + 44.57 Y_{t-4}\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "f07df48c-6d98-4973-92b9-4bf4f7848a45",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g_accor = var_results.plot_acorr()"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "8d77d0de-cf23-4fe5-8be4-c656ff307fef",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[7.43906198e+01, 7.82470060e-03],\n",
" [7.60598061e+01, 6.56419392e-03],\n",
" [7.73728878e+01, 5.41534415e-03],\n",
" [7.82113785e+01, 6.28098690e-03],\n",
" [7.91031342e+01, 6.29991906e-03]])"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lag_order = var_results.k_ar\n",
"var_results.forecast(df.values[-lag_order:], 5)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "fc3ae590-53e2-4a09-be7f-8db2bb52e00e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"var_results.plot_forecast(36)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "0226b6f7-fdaf-4632-9c04-aaee584aea4b",
"metadata": {},
"outputs": [],
"source": [
"var_irf = var_results.irf(36)"
]
},
{
"cell_type": "markdown",
"id": "432fae33-bff9-4129-beb7-691330e25149",
"metadata": {},
"source": [
"As you can see the coefficients are in general difficult to interpret, so the standard practice after estimation is to map out the the **Impulse Response Functions** (IRF), the IRFs trace out the responses of each variables to shocks in disturbance term, such as $u_1$ and $u_2$. \n",
"\n",
"For instance, the $[0, 0]$ position graph shows how one standard deviation shock on consumer confidence can move itself, the $[0, 1]$ position graph shows the traces of GDP growth after give one standard deviation shock of consumer confidence.\n",
"\n",
"Note the unit on the vertical axis is the number of standard deviation."
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "9f19be25-7142-41db-9d8e-b74b3ee8b0d3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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REREREREREREREZFUQYUtERHh0KFDVK1aFTc3N0wmE8ePH2fu3LmYTCYuXbr0zPePHj0ak8mU/IGKpBAvcszoeBERERERa4o5/7xz546tQ5E0Tt8tiIi1qLAlIs90/vx5+vbtS4ECBXB2dsbDw4Nq1arx1Vdf8ejRI1uHJy8oIiKC1157jbt37/LFF18wf/588ubNa+uwUi0dL2mfjhkRERGRpHPx4kUGDhyIr68vrq6uuLq6UqxYMQYMGMDvv/9u6Rfz5XjMj7OzMzly5MDPz4+vv/6a+/fvx1l3fO/x9fVl4MCB+Pv7W3M3rWLfvn2MHj2aoKAgW4cSh66T0j5dJ4mINZltHYCIpGzr16/ntddew8nJia5du1KiRAnCw8PZs2cPw4YN4+TJk8ycOdPWYcoLOH/+PJcvX+a7776jd+/elvYuXbrQvn17nJycbBhd6qLjJX3QMSMiIiKSNNatW0e7du0wm8106tSJUqVKYWdnx19//cWKFSuYPn06Fy9ejPXl+JgxY8ifPz8RERHcunWLnTt3MmjQID7//HPWrFlDyZIl42wn5j2hoaHs2bOH6dOns2HDBk6cOIGrq6s1dzlZ7du3j48//pju3bvj5eVl63AsdJ2UPug6SUSsSYUtEXmiixcv0r59e/Lmzcv27dvJnj27ZdmAAQM4d+4c69evt2GEqcPDhw9xc3OzdRhPdPv2bYA4Fz729vbY29vbIKLUScdL0tExIyIiIpL2nT9/3nL+/PPPP8c6fwaYNGkS3377LXZ2sQcbaty4MeXLl7e8fu+999i+fTtNmzbl1Vdf5c8//8TFxeWJ7+nduzeZM2fm888/Z/Xq1XTo0CGZ9vAfKf38NjnpOinppPTPka6TRMSaNBShiDzRp59+yoMHD/j+++/jXGQAFCpUiLffftvy+tixYzRu3BgPDw/c3d2pV68eBw4ciPWemPGSz507Z7mLzNPTkx49ehASEhKr7/379xk0aBD58uXDyckJHx8fGjRowNGjRwHo3r07+fLlixNXfGMyx7SdOXOGzp074+npibe3Nx9++CGGYXD16lWaN2+Oh4cH2bJlY8qUKXHWe/36dXr27EnWrFlxcnKiePHizJ49O97tnDp1io4dO5IxY0aqV6/+9ETHs51evXqRI0cOnJycyJ8/P/369SM8PDzJc929e3dq1aoFwGuvvYbJZKJ27doATxwHe8+ePVSoUAFnZ2cKFizIjBkznrgfz8pXQuNMTG4Sut2kltjjBZL2mHnW8QJp85ix5vESk8PEHDMJPV4Sm6+EHC8JzY+tjhkRERFJ3z799FMePnzInDlz4j1/NpvNvPXWW+TOnfuZ66pbty4ffvghly9f5scff0xQf3hcdEmMnTt3Ur58+Vjndv89l37W+e2zzk1///13TCYTa9assbQdOXIEk8lE2bJlY8XTuHFjKlWqZNnusGHDAMifP79l+MV/n5sGBQUl6BwyKek6KXVfJyU017b+bkHXSSLpj57YEpEnWrt2LQUKFKBq1arP7Hvy5Elq1KiBh4cHw4cPx8HBgRkzZlC7dm127dplOdmO0bZtW/Lnz8/EiRM5evQos2bNwsfHh0mTJln6vPHGGyxbtoyBAwdSrFgx/v77b/bs2cOff/4Z54Q+odq1a0fRokX55JNPWL9+PePGjSNTpkzMmDGDunXrMmnSJBYsWMDQoUOpUKECNWvWBMDf35/KlStjMpkYOHAg3t7ebNy4kV69enHv3j0GDRoUazuvvfYahQsXZsKECRiGkeD4bty4QcWKFQkKCuL111/npZde4vr16yxbtoyQkBAcHR2TNNd9+/YlZ86cTJgwgbfeeosKFSqQNWvWJ8b3xx9/0LBhQ7y9vRk9ejSRkZGMGjUqznsSm69nxZnQ3DzPdhPiww8/JE+ePPTp0+eJfRJzvEDSHzPJcbxAyj5mrH28AIk6ZhJ6vDxPvhLyb6gtjxkRERGRZ1m3bh2FChWKcz72vLp06cL777/Pli1bnnreDo+fFgPInDlzgtd/7NgxGjVqRPbs2fn444+JiopizJgxeHt7x9s/vvPbhJyblihRAi8vL3755RdeffVVAHbv3o2dnR2//fYb9+7dw8PDg+joaPbt28frr78OQKtWrThz5gyLFi3iiy++IEuWLACx4kvIOWRi6Dop/VwnPSvXKeW7BV0niaQjhohIPIKDgw3AaN68eYL6t2jRwnB0dDTOnz9vabtx44aRIUMGo2bNmpa2UaNGGYDRs2fPWO9v2bKlkTlz5lhtnp6exoABA564zW7duhl58+aN0x6zjfjaXn/9dUtbZGSkkStXLsNkMhmffPKJpT0wMNBwcXExunXrZmnr1auXkT17duPOnTux1tu+fXvD09PTCAkJibWdDh06PDHup+natathZ2dnHDp0KM6y6OhowzCSPtc7duwwAGPp0qWx+s2ZM8cAjIsXL1raWrRoYTg7OxuXL1+2tJ06dcqwt7ePlfOE5isxcSYkN4nZbmK8+eabhslkMubMmRPv8sQeL4aR9H/HZx0vhpH2jhlbHC+GkfBjJqHHi2EkPl8JidOWx4yIiIjI08ScP7do0SLOssDAQCMgIMDyE3M+EnOuFd+5TQxPT0+jTJkyltcx79m2bZsREBBgXL161fjpp5+MzJkzGy4uLsa1a9cSHHOzZs0MV1dX4/r165a2s2fPGmazOda53dPObxN6btqkSROjYsWKltetWrUyWrVqZdjb2xsbN240DMMwjh49agDG6tWrLf0+++yzONdw/44pIeeQiaHrpMfS8nXSv2NJyd8t6DpJJP3RUIQiEq979+4BkCFDhmf2jYqKYsuWLbRo0YICBQpY2rNnz07Hjh3Zs2ePZX0x3njjjViva9Sowd9//x2rn5eXFwcPHuTGjRsvsiux/HsCU3t7e8qXL49hGPTq1SvWdosUKcKFCxcAMAyD5cuX06xZMwzD4M6dO5YfPz8/goODYw1jEN/+JUR0dDSrVq2iWbNmscaMj2EymZIt1wkRFRXF5s2badGiBXny5LG0Fy1aFD8/P8vr58nXs+JMSG6ed7sAoaGhT/359NNP6datG7169WLhwoVx3p+Y4yUml0n9d0yO4wVS7jGTVo4XSJp8/TfO5D5mRERERF5EzDmLu7t7nGW1a9fG29vb8vPNN98keL3u7u7cv38/Tnv9+vXx9vYmd+7ctG/fHnd3d1auXEnOnDkTtN6oqCi2bdtGixYtyJEjh6W9UKFCNG7cON73/Pd8LTHnpjVq1ODo0aM8fPgQeDxk2yuvvELp0qXZvXs38PgpLpPJlKjh6RJ7rqvrpCdLb9dJ8cWSEr9b0HWSSPqhoQhFJF4eHh4A8V4U/FdAQAAhISEUKVIkzrKiRYsSHR3N1atXKV68uKX93ycvABkzZgQgMDDQsu2Yk+TcuXNTrlw5XnnlFbp27RrrxCux/rtdT09PnJ2dLcM0/Lv977//tuxfUFAQM2fOZObMmfGuN2aS1Bj58+dPdGwBAQHcu3ePEiVKPLVPcuQ6ofE9evSIwoULx1lWpEgRNmzYYOmX2Hw9K85Hjx4lKDfPs90HDx4k+EILoGvXrtStW5ds2bJZ2hJzvMTEmtR/x+Q4XuLbbko5ZtLK8RLTN7H5elacCc3P8xwzIiIiIi8q5vz7wYMHcZbNmDGD+/fv4+/vT+fOnRO13gcPHuDj4xOn/ZtvvsHX1xez2UzWrFkpUqQIdnYJv9f79u3bPHr0iEKFCsVZFl8bxD2/Tcy5aY0aNYiMjGT//v3kzp2b27dvU6NGDU6ePBmrsFWsWDEyZcqU4P1IzLmurpOeLr1dJ0Hq+G5B10ki6YcKWyISLw8PD3LkyMGJEyeSZf329vbxthv/GjO6bdu21KhRg5UrV7JlyxY+++wzJk2axIoVK2jcuHGcSVxjREVFJWq7z4olOjoagM6dO9OtW7d4+5YsWTLWaxcXlyfGYG0JyXVSep58wYvH+bzbdXZ2Zs6cOc9c/+bNm/npp59o1apVnHH0k/t4gWfn51nHC6BjJgGsfbzA8+UrKeJ83mNGRERE5EV5enqSPXv2eM+fY+b2uXTpUqLWee3aNYKDg+MtNFWsWDHepzOS04uc35YvXx5nZ2d++eUX8uTJg4+PD76+vtSoUYNvv/2WsLAwdu/eTcuWLRO13sScQ+o6SddJ/5UavlvQdZJI+qHClog8UdOmTZk5cyb79++nSpUqT+zn7e2Nq6srp0+fjrPsr7/+ws7Ojty5cz9XDNmzZ6d///7079+f27dvU7ZsWcaPH0/jxo3JmDEjQUFBcd5z+fLl59rWk3h7e5MhQwaioqKoX79+kq77v9vx8PB46kl/cuY6IfG5uLhw9uzZOMv+HU9y5CuhuXme7ZrNZrp37/7UPlu3bmXlypW0aNGChQsXxnuynNDjJSbW5Pg7Pu14AdLUMZNWjpeYvqnpmBERERFJCk2aNGHWrFn8+uuvVKxY8YXXN3/+fIA4wz4nBR8fH5ydnTl37lycZfG1xScx56aOjo5UrFiR3bt3kydPHmrUqAE8HlYtLCyMBQsW4O/vT82aNWOt50kFmueh6yRdJyWXtPrdgohYl+bYEpEnGj58OG5ubvTu3Rt/f/84y8+fP89XX32Fvb09DRs2ZPXq1bHuqvP392fhwoVUr149UY+lw+M7o4KDg2O1+fj4kCNHDsLCwgAoWLAgwcHB/P7775Y+N2/eZOXKlYna1rPY29vTunVrli9fHu/JT0BAQJJsx87OjhYtWrB27VoOHz4cZ7lhGMmS64Syt7fHz8+PVatWceXKFUv7n3/+yebNm2P1S+p8JTQ3yfV3GjduHPXr12fx4sWYzfHfE5LQ4wVI8r9jQo4XSFvHTFo5XmL6prVjRkRERORZhg8fjqurKz179oz3/DkxT1hs376dsWPHkj9/fjp16pSUYQKPz9fq16/PqlWrYs3VdO7cOTZu3JjgdSTm3LRGjRocPHiQHTt2WApbWbJkoWjRokyaNMnS59/c3NwA4i3SJAddJyWOrpMeS8/fLYhI0tETWyLyRAULFmThwoW0a9eOokWL0rVrV0qUKEF4eDj79u1j6dKllju4xo0bx9atW6levTr9+/fHbDYzY8YMwsLC+PTTTxO97fv375MrVy7atGlDqVKlcHd3Z9u2bRw6dIgpU6YA0L59e959911atmzJW2+9RUhICNOnT8fX1zfJJ/L85JNP2LFjB5UqVaJPnz4UK1aMu3fvcvToUbZt28bdu3eTZDsTJkxgy5Yt1KpVi9dff52iRYty8+ZNli5dyp49e/Dy8kryXCfGxx9/zKZNm6hRowb9+/cnMjKSqVOnUrx48VgXAcmRr4TkJrn+TqtXr8bFxQVHR8cn9knM8QJJe8wk5HiBtHfMpJXjBdLeMSMiIiLyLIULF2bhwoV06NCBIkWK0KlTJ0qVKoVhGFy8eJGFCxdiZ2dHrly5Yr1v48aN/PXXX0RGRuLv78/27dvZunUrefPmZc2aNTg7OydLvKNHj2bLli1Uq1aNfv36ERUVxbRp0yhRogTHjx9P0DoSc25ao0YNxo8fz9WrV2MVsGrWrMmMGTPIly9fnNyUK1cOgJEjR9K+fXscHBxo1qzZi+34U+g6KfF0nfRYev1uQUSSkCEi8gxnzpwx+vTpY+TLl89wdHQ0MmTIYFSrVs2YOnWqERoaaul39OhRw8/Pz3B3dzdcXV2NOnXqGPv27Yu1rlGjRhmAERAQEKt9zpw5BmBcvHjRMAzDCAsLM4YNG2aUKlXKyJAhg+Hm5maUKlXK+Pbbb2O9b8uWLUaJEiUMR0dHo0iRIsaPP/5o2UZCttutWzfDzc0tzj7XqlXLKF68eKw2f39/Y8CAAUbu3LkNBwcHI1u2bEa9evWMmTNnPnM7iXH58mWja9euhre3t+Hk5GQUKFDAGDBggBEWFmbpk5S53rFjhwEYS5cufWq/GLt27TLKlStnODo6GgUKFDD+97//xZvzhOQrMXEmNDcJ3W5ySejxYhhJ93dM6PFiGGnvmLH28WIYiTtmEnq8GMaL5etJx2tqOGZEREQkfTt37pzRr18/o1ChQoazs7Ph4uJivPTSS8Ybb7xhHD9+3NIv5nwn5sfR0dHIli2b0aBBA+Orr74y7t27F2fdMe85dOhQksT6888/G2XKlDEcHR2NggULGrNmzTLeeecdw9nZ2dLnWee3CTk3NQzDuHfvnmFvb29kyJDBiIyMtLT/+OOPBmB06dIl3vWPHTvWyJkzp2FnZ2c5P0zsOWRy0HXSP1LTddLTYklJ3y3oOkkk/TEZRjLOhi4iIiIiIiIiIpJGtWjRgpMnT8Y7X5CIiIgkD82xJSIiIiIiIiIi8gyPHj2K9frs2bNs2LCB2rVr2yYgERGRdEpPbImIJLOoqKhnTi7q7u6Ou7u7lSISSdl0zIiIiIiINST2vDN79ux0796dAgUKcPnyZaZPn05YWBjHjh2jcOHC1ghZ0jFdJ4mI/MNs6wBERNK6q1evkj9//qf2GTVqFKNHj7ZOQCIpnI4ZEREREbGGxJ53NmrUiEWLFnHr1i2cnJyoUqUKEyZMUFFLrELXSSIi/9ATWyIiySw0NJQ9e/Y8tU+BAgUoUKCAlSISSdl0zIiIiIiINei8U1ITfV5FRP6hwpaIiIiIiIiIiIiIiIikCna2DkBEREREREREREREREQkIVTYEhERERERERERERERkVTBbOsA0oPAwEAiIyNtGoO3tzcBAQE2jSG9Uc6tTzm3PuXc+pRz61POrU85t760lHOz2UzGjBltHYakIba+nktLx2dqoZxbn3Jufcq59Snn1qecW59ybn1pKeeJuZZTYcsKIiMjiYiIsNn2TSaTJQ5NqWYdyrn1KefWp5xbn3Jufcq59Snn1qecizydLa/ndHxan3Jufcq59Snn1qecW59ybn3KufWl55xrKEIRERERERERERERERFJFVTYEhERERERERERERERkVRBhS0RERERERERERERERFJFVTYEhERERERERERERERkVTBbOsARERERERERGIMGDCAgICAOO0NGzakd+/ehIeHM2/ePPbt20dERASlSpWid+/eeHl5WfreuXOH7777jpMnT+Ls7EytWrXo2LEj9vb2VtwTERERERFJDipsiYiIiIiISIoxceJEoqOjLa+vXLnCuHHjqFKlCgA//PADR48eZciQIbi6uvL9998zZcoUxo4dC0B0dDQTJ07Ey8uLcePGERgYyLRp07C3t6djx4422ScREREREUk6GopQREREREREUgwPDw+8vLwsP0ePHiVr1qwUK1aMkJAQtm/fTrdu3ShRogQFChSgf//+nD59mjNnzgDw22+/ce3aNd58803y5ctHmTJlaNeuHZs3byYyMtLGeyciIiIiIi9KT2yJiIiIiIhIihQZGcnu3btp0qQJJpOJCxcuEBUVxcsvv2zpkzNnTrJkycKZM2fw9fXlzJkz5MmTJ9bQhKVLl2bWrFlcvXqV/Pnzx7utiIgIIiIiLK9NJhMuLi6W320hZru22n56pJxbn3Jufcq59Snn1qecW59ybn3pOefpprB16tQp1qxZw8WLFwkMDGTo0KFUrFjxqe85efIk8+bN4+rVq2TOnJnWrVtTu3Zt6wQsIiIiIiKSzv366688fPjQch0WFBSE2WzGzc0tVj9PT0+CgoIsff5d1IpZHrPsSVauXMmyZcssr/Pnz8+kSZPw9vZ+4f14UdmyZbN1COmOcm59yrn1KefWp5xbn3Jufcq59aXHnKebwlZYWBj58uWjbt26TJ48+Zn9b9++zSeffEKDBg148803OXHiBP/73//w8vKidOnSyR+wiIiIiIhIOrdjxw5Kly5NpkyZkn1bLVu2pGnTppbXMXe+BgQE2GwIQ5PJRLZs2bh16xaGYdgkhvRGObc+5dz6lHPrU86tTzm3PuXc+tJazs1mc4JvKks3ha0yZcpQpkyZBPffsmULPj4+dO3aFYBcuXLx119/sX79+lRX2FqxIpLw8E3kyfMQJycnnJyccHZ2tvy4ubnh7Oxs6zBFREREREQsAgIC+P333xk6dKilzcvLi8jISB4+fBjrqa3g4GDLU1peXl6cO3cu1rqCg4Mty57EwcEBBweHeJfZ+osCwzBsHkN6o5w/mWEY3Lp1i/Pnz5M7d27y5s2bZOtVzq1LObc+5dz6lHPrU86tLz3mPN0UthLr7NmzscZtByhVqhRz58594ntS4pjsixe7MHjwbuDVJ/bp168fH374IQDXrl2jcePGlqKXk5MTLi4ulmJYpkyZeO+998iePbuV9iB1Ss/jm9qKcm59yrn1KefWp5xbn3Jufcq5pFQ7duzA09OTsmXLWtoKFCiAvb09f/zxB5UrVwbgxo0b3LlzB19fXwB8fX1ZsWIFwcHBliEIf//9d1xcXMiVK5f1d0QkFQsODubo0aOcOXOGs2fPWv577949AEaPHk2fPn0A+PPPPxkzZgy5cuUiV65c5M6dm9y5c5MzZ06yZs2Kvb29LXdFRERE0hAVtp4gKCjIchEUw9PTk0ePHhEeHo6jo2Oc96TEMdnbtXvI4MGvAeDmlh9vb4NHjx4RGhpq2Rdvb29LoSooKIi///473nVlyJCB4cOHU7BgwTi5kfilx/FNbU05tz7l3PqUc+tTzq1PObc+5VxSkujoaHbu3EmtWrVifRnu6upK3bp1mTdvHu7u7ri6ujJ79mx8fX0tha1SpUqRK1cupk2bRqdOnQgKCuKnn37Cz8/viU9kiaR0ISEhmEwmnJ2dk/xGhOjoaK5du8aZM2c4c+YMlSpVoly5cgAcO3aMzp07x3mPnZ0defLkoUiRIpa28+fP88svv8S7DQcHByZOnEiHDh0AuHnzJnv37rUUv3x8fJJ0n0RERCRtU2ErCaXEMdkBatVqwq5dK3j4sCnjxo2hXbtHlmXR0dFER0dz8+ZNAJydnfn5558JCwsjNDQ01k90dDR+fn6EhIQQEhJiq91JFdLa+KapgXJufcq59Snn1qecW59ybn1pLeeJGZddUq4//viDO3fuUKdOnTjLunXrhslkYsqUKURGRlKqVCl69+5tWW5nZ8eIESOYNWsWH3zwAU5OTtSqVYt27dpZcxdEXtj9+/dZu3YtK1as4MCBAxiGYRkZxs3Nja5duzJkyBAA7t69y7Bhw3B1dbX8uLm5WX4vXrw4FSpUAB7PKb548WLL01dnz54lNDTUst1BgwZZCluFCxfG19c3zn8LFCiAk5NTrHjLlCnDF198wbVr17h27RpXr17l2rVrXL9+nYiICDJmzGjpe+TIEd5++23LawcHB3LlykWePHnIkycP7du3t0wDEbPfIiIiIjFU2HoCLy8vyzjsMYKDg3FxcYn3aS1IuWOy9+nTil27VgCLeP/9zyhXLoyCBaOAx19k2NvbW+JzcnLipZdeeur60sIXHtaSHsc3tTXl3PqUc+tTzq1PObc+5dz6lHNJSUqVKsWSJUviXebo6Ejv3r1jFbP+y9vbm/feey+5whOxitu3bzNs2LBYbYZhWG42DQsLs7QHBwezadOmJ66re/fulsJWSEgIn3zySazljo6OFCxYEF9fX4oWLWppz5kzJzt27EhQvDlz5qRt27Zx2iMjI/H39481x52bmxvVqlWLVfi6ePEiFy9eBKBWrVqWwtbGjRsZPnw4efPmJU+ePOTNmzfW79mzZ9cwhyIiIumMCltPULhwYY4dOxar7ffff7cMb5Ga1KxZk6xZs+Lv78+jR1sYMMCPNWvu8IT63DNt27aNqVOn8vXXXyfZJLEiIiIiIiIi6VFUVBR79+5l1apVAHz++ecAFCxYkFatWlGkSBGaN29OpkyZCAkJ4eHDh4SEhMQqFGXMmJGJEycSEhLCo0ePLH1i/vvvOcRz585NmzZtKFSokOUprDx58mA2J89XRGazmZw5c8Zqq1OnjuWJzJiRZA4fPsylS5e4fPkyxYsXt/S9cuUKgYGBBAYGcvz48TjrnzlzJk2aNAHgxIkTnDhxgmbNmuHm5pYs+yMiIiK2l24KW6Ghody6dcvy+vbt21y6dAl3d3eyZMnCwoULuXv3LgMHDgSgYcOGbN68mR9//JE6depw4sQJ9u/fz4gRI2y1C8/NbDbTqVMnPv/8cxwcfuCPP5rxyScefPTRveda35w5czh8+DDTpk3js88+S+JoRURERERERNI2wzD4/fffWblyJWvWrMHf3x94/OTUqFGjLPNaT506Ndb73Nzc4h1u1cvLi65duyZo2/b29nz11VcvuAdJx97enly5cuHg4EDlypXjLO/atSs1a9bkypUrXL58mStXrlh+v3r1aqwbbvfs2cPYsWP56KOPaNmyJV26dKFEiRLW3B0RERGxgnRT2Dp//jwff/yx5fW8efOAx4+3DxgwgMDAQO7cuWNZ7uPjw4gRI/jhhx/YsGEDmTNn5o033rA8Cp/adOnShc8//xzDWAsEMmNGRmrWDKN27bBnvve/Bg0axM6dO1m6dClvv/02uXLlSvqARURERERERNKgxYsXM23aNC5cuGBp8/LyomnTprRq1YoMGTLYMLqUx9XVlWLFilGsWLE4y6KiomLNv5U/f37y58/PxYsX+fHHH/nxxx8pXbo0nTp1onnz5nqKS0REJI1IN4Wt4sWLP3GMdoABAwbE+55PP/00OcOymlKlSlG0aFGuX79OlSq/snmzH4MGebFtWwBZskQnal0VKlSgWrVq7N27l2+++YaJEycmU9QiIiIiIiIiqVtAQABubm64uroCj+fDunDhAs7OzjRs2JCWLVtSu3btJ87nLU/237m1/Pz8aNiwIfv27ePHH39k48aNHD9+nOPHjzNp0iR+/fVXnJycbBStiIiIJBU7Wwcg1mEymZg5cybHjh3jm29e5qWXIggIsGfwYC+iE1fXAmDw4MEA/PTTT9y4cSOJoxURERERERFJva5du8bChQvp2LEjZcuWZe3atZZlLVq04Msvv+S3335j+vTpNGzYUEWtJGQymahWrRrTp0/nyJEjfPDBB+TLl49atWrFKmpt2rSJkJAQG0YqIiIiz0uFrXSkYMGCODs74+IC33wTiLOzwfbtznz/feIfxa9SpQqVK1cmPDyc6dOnJ0O0IiIiIiIiIqlDaGgo69evZ8SIEVSrVo1KlSoxbNgwdu3aRXR0NCdOnLD09fHx4bXXXsPd3d2GEacPmTNnpl+/fuzevZvx48db2k+dOkWvXr0oW7Ys77//PqdOnbJhlCIiIpJYKmylQ4ZhkDHjdT78MBiACRM8OHEi8aNSvv322wAsXLiQ27dvJ2mMIiIiIiIiIilVaGgoV65csbwODw+nX79+zJ8/n0uXLmFvb0/58uUZOnQoe/bsYezYsTaMVuzs7GLNXXbnzh3y5s3L/fv3+eGHH2jQoAHNmjVj8eLFPHr0yIaRioiISEKkmzm25LHTp0/Tq1cvoqKi2Lt3H7/84sTmzS7075+RTZvu4OpqJHhdNWrUoH379tSuXZssWbIkY9QiIiIiIiIithMVFcXJkyfZvXs3u3fv5tChQxQvXpw1a9YA4OHhQfPmzcmYMSPVq1enSpUqsQopkrLUrFmTPXv2sGfPHn788Uc2b97M0aNHOXr0KKNHj2bp0qWUKFHC1mGKiIjIE6iwlc7kzp2b27dv8/DhQw4fPsTkyZX57TdHzp93YNQoDz77LDjB6zKZTEyZMiUZoxURERERERGxneXLl7N582b27t1LUFBQrGW3bt0iPDzcMj/W1KlTbRChPC87Oztq1qxJzZo1uX37NkuWLGHBggU8evSIIkWKWPqdOHGCfPnyaehIERGRFERDEaYzrq6uNGnSBIBly5aRKVM0X38diMlksHChG2vXOj/3uqOjo5MqTBERERERERGb27x5M+vXrycoKAh3d3caNmzI2LFj2blzJwcPHrQUtSR18/HxYeDAgezdu5dVq1bh4OAAPH5Sr2fPnpQpU4Z33nmHw4cPYxgJH+lGREREkocKW+lQ69atAVi7di2hoaFUqxbOwIEPABg+3Itr1+wTtb6IiAj+97//UaNGDe7evZvk8YqIiIiIiIgkt4CAANq2bctff/1laWvTpg1Dhw5l9erVnDx5kjlz5tCzZ08KFy6MyWSyYbSSHOzs7MiXL5/l9a1bt3B2diYkJISffvqJ5s2bU7duXWbMmMHff/9tu0BFRETSORW20qGqVauSI0cO7t27x9atWwF45537lCkTzr17dgwc6EVkZMLXZzabWbFiBZcuXeK7775LpqhFREREREREkkdISAjdu3dnz549dOvWzfJUTsOGDRk8eDDly5fHbNZsDulNzpw52bVrFytXruS1117D2dmZM2fOMGbMGMqVK8e8efNsHaKIiEi6pMJWOmRnZ0erVq2Ax+OFAzg4wDffBOLuHs2hQ0589VXCJ7k1mUwMHjwYgNmzZ8cZd1xEREREREQkpYqKimLgwIEcP36cjBkz8uOPP+ppLLEwmUxUrFiRL7/8kmPHjvHJJ59QqlQpIiIiKF68uKXf9evXuX79ug0jFRERST9U2Eqn2rRpA8COHTu4c+cOAHnzRvHJJ8EAfPmlOwcPJnyscD8/P1566SUePHjA7Nmzkz5gERERERERkWTw8ccfs3nzZpycnJg7dy6FCxe2dUiSQnl4eNClSxc2bNjA9u3bKVu2rGXZ119/TaVKlejUqRPr1q0jPDzchpGKiIikbSpspVOFCxdm8ODBLFiwgEyZMlnaW7Z8RJs2IURHmxg40IugoITdpWZnZ8fbb78NwKxZs7h3716yxC0iIiIiIiKSVGbNmsX3338PwFdffUWFChVsHJGkFkWKFIn1ZN+dO3cwDIOdO3fSt29fypUrx8cff8yZM2dsGKWIiEjapMJWOjZ06FCqV6+OnV3sj8H48cHkyxfJjRtmhg3z4v+HFn+mJk2aULhwYYKDg5kzZ04yRCwiIiIiIiKSNLZv387o0aMB+OCDD2jWrJltA5JU7fvvv2fv3r28+eabZM2albt37zJz5kzq1KlD9+7dbR2eiIhImqLClsTh7m7w7beBmM0GGza4sHCha4LeZ29vH+uprdDQ0OQMU0REREREROS5lSlThooVK9K1a1feeOMNW4cjaUC+fPkYMWIEv/76K3PnzsXPzw97e3tefvllSx/DMIiKirJhlCIiIqmf2dYBiG2dO3eO+fPnky1bNvr162dpL1UqghEj7jFunCcffeRBxYrhFC4c+cz1vfrqqxw5coQOHTrg7OycnKGLiIiIiIiIPLeMGTOyaNEi7O3tYw0pJ/KizGYzDRo0oEGDBvj7++Pi4mJZtnPnTkaPHs2bb75JixYtMJv11ZyIiEhi6YmtdO6vv/6yjCkeHR0da1nfvg+pWTOU0FA7+vfPSEIewLK3t2fcuHEUL148mSIWEREREREReT6BgYEsX77c8trJyUmFBUlWWbNmxcPDw/J69uzZnDt3jrfffpsaNWrw448/EhYWZsMIRUREUh8VttK5+vXr4+npyc2bN9m3b1+sZXZ28OWXQWTKFMWpUw5MmODxhLU8mYYjFBERERERkZQgLCyM3r1789Zbb/HNN9/YOhxJp7799lvef/99MmfOzJUrV3j33XepWrUqs2bN4tGjR7YOT0REJFVQYSudc3Z2pmnTpgAsW7YszvKsWaP54osgAL7/3p2ff3ZK0HqDg4MZPnw4NWvW1ImZiIiIiIiI2FR0dDRDhgzhwIEDZMiQgXr16tk6JEmnMmTIwIABAzh48CBjxowhW7Zs3Lp1i1GjRtG1a1dbhyciIpIqqLAlvPbaawBs2LCBkJCQOMvr1w+jV68HAAwe7MXt28/+2Li4uLBr1y6uX7/OokWLkjZgERERERERkUT49NNPWbVqFWazme+++46XXnrJ1iFJOufi4kKvXr3Yt28fkyZNIk+ePHTq1Mmy/NGjRwQGBtowQhERkZRLhS2hfPny5M2bl4cPH7Jp06Z4+7z//j2KFYvg77/t+eYb92eu09HRkYEDBwLwzTffaLxoERERERERsYmFCxcydepU4HGBq0aNGjaOSOQfTk5OdO7cmd27d9OsWTNL+48//kilSpUYP348AQEBNoxQREQk5VFhSzCZTLRp0waIfzhCAGdnePfde//fx5WETJ3Vtm1bsmfPzq1bt1i8eHGSxSsiIiIiIiKSEDt37mTEiBEADB48mHbt2tk4IpH4mc1m7O3tLa9/+eUXHj58yLfffkvlypX58MMPuX79ug0jFBERSTlU2BIAWrdujY+PD0WLFsUwjHj71KkTRvbsUQQF2bFxo8sz1+nk5GR5amvatGmEh4cnacwiIiIiIiIiT3Pu3DmioqJo3bo177zzjq3DEUmwefPm8cMPP1C2bFlCQ0OZPXs21apV4+233+b48eO2Dk9ERMSmVNgSAPLmzcvhw4f58MMPMZlM8faxt4eOHR8CsGCBa4LW2759e7Jmzcr169ef+DSYiIiIiIiISHLo3bs3ixYtYvLkyU+81hVJiUwmE/Xr12fNmjUsXryYqlWrEhERwbJly5g1a5atwxMREbEpFbbE4t+PvD9Ju3Yh2NkZ7N/vxLlzz+7v7OxMv379AJg9e/YTnwYTERERERERSQoPHjzg/v37ltc1a9bE0dHRhhGJPD+TyUT16tVZunQp69ato02bNnTr1s2y/OzZs3z88cdcuHDBhlGKiIhYlwpbEktUVBS//PILly5dind5zpzR1K0bBsDChW4JWmfnzp0ZOnQoS5Ys0R1yIiIiIiIikmwiIiLo27cvLVu25MaNG7YORyRJlSlThq+++ooKFSpY2ubOncvMmTOpUaMGnTp1YsuWLURFRdkwShERkeSnwpbEMmLECDp06MAPP/zwxD6dOj0ejnDJEhfCwp69ThcXFwYPHkymTJmSKkwRERERERGRWAzDYOTIkezcuZNLly4REBBg65BEkp2fnx/16tXDZDKxc+dOevToQZUqVfj66691DIiISJqlwpbE0qBBAwBWrlxJZGRkvH3q1g0jW7YoAgPt2bTJOdHbuHv37gvFKCIiIiIiIvJf06ZNY8GCBdjZ2fHtt99SqlQpW4ckkuxq1qzJvHnz2Lt3L/379ydjxoxcv36dSZMm0bhxY6Kjo20dooiISJJTYUtiqVOnDpkyZSIgIIBffvkl3j5mM3ToEALAggUJG44Q4NKlS7Rq1YqWLVvqsXgRERERERFJMqtWreKTTz4BYMyYMTRs2NDGEYlYV968eRk5ciSHDx/mq6++omzZsrRu3Ro7u8df/UVHR7N06VIePnxo40hFRERenApbEouDgwMtWrQAYPny5U/s16FDCCaTwd69Tly4YJ+gdWfOnJnTp09z7tw51q1blxThioiIiIhIGnT37l2+/vprevbsSadOnXjnnXc4f/68ZblhGCxevJjXX3+dTp06MXbsWG7evBlrHQ8ePODrr7+mW7dudO/enenTpxMaGmrtXRErWLx4MYMHDwagT58+9OjRw8YRidiOs7Mzbdq0Ye3atQwbNszSvmvXLgYNGkS5cuX44IMP+PPPP20YpYiIyItRYUviaNOmDQCbNm3i/v378fbJmTOKOnUeT7C1aJFrgtabIUMGevfuDcBXX32lx+FFRERERCSOBw8e8OGHH2I2m3n//ff54osv6Nq1K25u/4wWsXr1ajZu3EifPn2YMGECTk5OjB8/nvDwcEufr7/+mqtXr/LBBx8wYsQI/vzzT2bMmGGLXZJkFBYWxv/+9z/Cw8Np3rw5H330ka1DEkkxzGaz5feIiAjy5cvH/fv3mT17NsWKFaNLly4cPHgQwzBsGKWIiEjimZ/dRdKbkiVLUqhQIc6dO8f69etp3759vP06dw5h+3ZnFi92Zdiw+zg6PnvdPXv2ZMaMGZw+fZqNGzfSpEmTJI5eRERERERSs9WrV5M5c2b69+9vafPx8bH8bhgGGzZsoFWrVlSoUAGAgQMH0qdPHw4dOkS1atW4du0ax48fZ+LEiRQsWBB4fC0yceJEunTpQqZMmeJsNyIigoiICMtrk8mEi4uL5XdbiNmurbafGjg7OzNnzhzWrl3LwIEDLcOuPS/l3PqUc+vw8/OjQYMG/PLLL/zwww9s2bKFn3/+mZ9//ply5coxd+5cMmfObOsw0yx9zq1PObc+5dz60nPOVdiSOEwmE23atOGTTz5h3759Tyxs1asXStasUfj727N5szPNmj17WA9PT0969erFl19+yRdffEG9evVwdnZO6l0QEREREZFU6vDhw5QqVYrPP/+cU6dOkSlTJho2bEj9+vUBuH37NkFBQZQsWdLyHldXVwoVKsSZM2eoVq0aZ86cwc3NzVLUAnj55ZcxmUycO3eOihUrxtnuypUrWbZsmeV1/vz5mTRpEt7e3sm4twmTLVs2W4eQohw7dozDhw/Tp08fALJnz07VqlWTdBvKufUp59bRoUMHOnTowNmzZ5k8eTI//PADERERFC9e3PLFqGEY6fJLUmvQ59z6lHPrU86tLz3mXIUtiVf79u2pVq0aZcqUeWIfsxnatQvh668zsGCBW4IKWwC9e/dm9uzZ/PnnnwwYMIAZM2bEejxeRERERETSr9u3b7N161aaNGlCy5YtOX/+PHPmzMFsNlO7dm2CgoKAxzfN/Zunp6dlWVBQEB4eHrGW29vb4+7ubunzXy1btqRp06aW1zFf6gYEBBAZGZk0O5dIJpOJbNmycevWLQ0V9v9WrFjB0KFDCQ8Px8vLi+rVqyfp+pVz61POrc9kMlG4cGE+/vhj+vfvj7+/P7du3QLg4cOHNG/enLZt29KpU6dYw8DK89Pn3PqUc+tTzq0vreXcbDYn+KYyVRMkXt7e3gn6EHXoEMLUqe7s3u3EpUv25MsX9cz3ZMyYkVmzZtGlSxdCQkKIiIhQYUtERERERACIjo6mYMGCdOzYEXj85NSVK1fYunUrtWvXTrbtOjg44ODgEO8yW39RYBiGzWOwtcjISCZMmGCZJ61u3bqUKFEi2fKinFufcm59hmFYvv+Jyf2SJUs4deoUo0eP5ssvv6R79+707NlTwxQmEX3OrU85tz7l3PrSY85fbPBpSRdCQ0OfeGDkyRNFrVphACxa5JrgdVarVo2lS5cyd+5cy7j1IiIiIiIiGTNmJFeuXLHacuXKxZ07dwDw8vICIDg4OFaf4OBgyzIvLy/u3bsXa3lUVBQPHjyw9JHU4+7du3Tu3NlS1HrzzTeZO3dunKf2ROTFtW/fnk8//ZT8+fMTFBTEl19+ScWKFfnggw+4evWqrcMTEREBVNiSZ/joo48oU6YMx44de2KfTp1CAPjpJ1fCwxO+7nLlyuHk5AQ8rirv3bv3hWIVEREREZHUr0iRIty4cSNW240bNywjSvj4+ODl5cUff/xhWR4SEsK5c+fw9fUFwNfXl4cPH3LhwgVLnxMnTmAYBoUKFbLCXkhSOXXqFE2aNGH37t24uLjwv//9jxEjRmBvb2/r0ETSJGdnZzp16sSuXbuYOXMmpUqVIjQ0lDlz5lCzZk3LTQYiIiK2pMKWPFVgYCD37t1j+fLlT+zToEEo3t5R3Lljz9atzonehmEYfPzxx7Rt29ZyB56IiIiIiKRPTZo04ezZs6xYsYJbt26xZ88efv75Z/z8/IDHcwm88sorrFixgsOHD3PlyhWmTZtGxowZqVChAvD4Ca/SpUszY8YMzp07x19//cXs2bOpWrUqmTJlsuXuSSL9+uuvXLlyhTx58rBmzRqaNWtm65BE0gV7e3uaNGnC+vXrWbx4MbVq1aJBgwZkyZLF0ufcuXPpbugrERFJGTSxkTxVmzZtWLFiBatWrWLUqFE4OjrG6ePgAO3ahTBtWgYWLHClSZPQRG3DZDJZLi7HjBmDh4cHHTp0SJL4RUREREQkdSlUqBBDhw5l4cKFLF++HB8fH7p160aNGjUsfZo3b05YWBgzZswgJCSEl156iffffz/W9cpbb73F999/z5gxYzCZTFSqVImePXvaYpfkBXTr1o3IyEhatWqloqSIDZhMJqpXr0716tUJ/9cwPZcuXaJOnTqULl2a/v3707BhQz1JKSIiVqPCljxV9erVyZo1K/7+/mzfvp1GjRrF269jx8eFrV27nLlyxZ48eaIStZ0333yTe/fuMX36dIYPH467u7vuxBMRERERSafKlStHuXLlnrjcZDLRrl072rVr98Q+7u7uvP3228kRniSj4OBgJk6cyHvvvYenpycmk4nevXvbOiwRgVg3Dxw/fhwHBweOHj1K7969yZcvH71796Zt27a4ubnZMEoREUkPNBShPJW9vT0tW7YEeOpwhHnzRlGz5uMntRYudE30dkwmEyNHjqRTp05ER0fz5ptvsmPHjucLWkRERERERFKds2fP0qRJE+bPn8/QoUNtHY6IPEWLFi04cOAAAwcOxNPTk0uXLvHBBx9QoUIFJkyYQHBwsK1DFBGRNEyFLXmmNm3aALB161YCAwOf2K9TpxAAFi92JSIi8dsxmUxMnDiRV199lYiICHr37s2vv/76XDGLiIiIiIhI6rF582aaNm3KxYsXyZEjB2+99ZatQxKRZ/Dx8eG9997j0KFDjB8/nnz58hEcHMz8+fMxmzVIlIiIJB8VtuSZihYtSrFixYiIiGDNmjVP7NewYShZskRx+7Y927Y5P9e27O3t+eqrr6hbty5hYWFcvHjxecMWERERERGRFC46OprPP/+cnj178uDBA6pUqcLGjRt5+eWXbR2aiCSQm5sb3bt355dffmHOnDl8+OGHluEIDcNg2LBhbNmyhejoaBtHKiIiaYVun5AE6dOnD5cvX6Z27dpP7OPoCO3ahfDNNxlYsMCVxo1Dn2tbjo6OzJw5k0OHDlGzZs3njFhERERERERSsgcPHvD222+zadMmAHr16sWHH36Ig4ODjSMTkedhb29Pw4YNY7Xt2bOHhQsXsnDhQvLnz2+Zh8vVNfHTWIiIiMTQE1uSIG3btmXYsGHkzZv3qf06dHg8HOHOnU5cvWr/3NtzcXGJVdT6+++/uX79+nOvT0RERERERFKWsLAw/vjjD5ycnPj8888ZM2aMiloiaYyvr69lHq6LFy8ycuRIKlSowMSJE7l586atwxMRkVRKhS1JUvnzR1G9ehiGYWLRoqS5++bGjRu0bNmS9u3bExAQkCTrFBEREREREdvKnDkzs2fPZvny5bRr187W4YhIMsiaNWucebiCgoKYNm0alStX5uTJk7YOUUREUiEVtiTBwsLC2LhxIx9//PFT+3Xq9BCAn35yJTIy6bZ94cIFOnbsSHBwcNKsVERERERERGyqRIkSlClTxtZhiEgy+/c8XLNnz6Zy5crkz5+fokWLWvqcP39e83CJiEiCpLs5tjZt2sTatWsJCgoib9689OzZk0KFCj2x//r169myZQt37tzBw8ODSpUq0bFjRxwdHa0YdcoQFhZG//79CQ8Pp3379hQpUiTefo0ahZI5cxT+/vb8/LMzfn7PN9dWjBw5crBo0SJatWrFqVOn6Nq1K4sWLdJ4zCIiIiIiIqnUr7/+SunSpdPltbVIemZvb4+fnx9+fn4EBwdjZ/f4nvtHjx7RvHlzfHx8ePvtt2natCn29s8/xYWIiKRt6eqJrX379jFv3jzatGnDpEmTyJs3L+PHj3/iE0AxE1y+9tprfPHFF7zxxhvs37+fRYsWWTnylMHDw4NatWoBsG7duif2c3SEtm0fAfDjj0lTfCpQoAALFy7E09OTw4cP07t3b8LCwpJk3SIiIiIiImI9169fp2XLlpQtW5YHDx7YOhwRsRFPT0/L73/++SeRkZGcPn2a/v37U69ePVauXElUVJQNIxQRkZQqXRW21q1bR7169ahTpw65cuWiT58+ODo6smPHjnj7nz59miJFilC9enV8fHwoVaoU1apV49y5c1aOPOVo1qwZAGvXrsUwjCf269Dh8XCEO3Y4cf160txhU6xYMebPn4+rqyu7du1i4MCBRCbVWIciIiIiIiJiFTE3ShYpUgR3d3cbRyMiKUHZsmU5ePAgQ4cOxdPTk7NnzzJw4EBq167N0qVL9f2PiIjEkm6GIoyMjOTChQu0aNHC0mZnZ8fLL7/MmTNn4n1PkSJF2L17N+fOnaNQoUL4+/tz7NgxatSoEW//iIgIIiIiLK9NJhMuLi6W320lZttJEUPDhg1xdHTk7NmznDlzhpdeeinefoUKRVOtWhh79zqxaJErw4YlzV145cuXZ/bs2XTt2pVTp04RGBiIj49Pkqw7KSVlziVhlHPrU86tTzm3PuXc+pRz61PORcTa1q5dC/xz46SICDx+gmvw4MH07t2bOXPmMGPGDC5cuMCgQYMoWbLkE6fEEBGR9CfdFLbu3btHdHQ0Xl5esdq9vLy4ceNGvO+pXr069+7d48MPPwQgKiqKBg0a0KpVq3j7r1y5kmXLllle58+fn0mTJuHt7Z00O/GCsmXL9sLryJ49O40aNWLNmjXs2LGDOnXqPLHvwIGwdy8sWZKBTz/NgDmJPm3t2rXDy8uLkiVLkj179qRZaTJJipxL4ijn1qecW59ybn3KufUp59annIuINVy5coVjx45hZ2dHkyZNbB2OiKRAGTJk4K233qJnz57MmzePy5cvxypq7du3j3LlyuHk5GTDKEVExJbSTWHreZw8eZKVK1fSu3dvChcuzK1bt5gzZw7Lli2jTZs2cfq3bNmSpk2bWl7H3PUaEBBg00emTSYT2bJl49atW08dPjChGjZsyJo1a1i0aBFvvPHGE+/urVwZMmbMyvXrdixYcJeGDZNuTqySJUsCcPPmTQCWLFlCw4YN4xQubSWpcy7Pppxbn3Jufcq59Snn1qecW19ay7nZbE4xN5aJSFxr1qwBoGrVqjpWReSp3N3d6d+/f6y2K1eu0KFDB7y9vRk4cCDt27fH2dnZRhGKiIitpJvCloeHB3Z2dgQFBcVqDwoKemIxZPHixdSsWZN69eoBkCdPHkJDQ5k5cyatWrXCzi72FGUODg44ODjEu66U8CWBYRhJEkf9+vVxcnLCycmJwMBAMmbMGG8/R0do2zaEGTPc+fFHVxo0CH3hbcdn7969DBo0iCxZsjB69GhatGiRYobSSaqcS8Ip59annFufcm59yrn1KefWp5yLiDXEFLaaN29u40hEJDW6cuUKWbJk4ebNm4wcOZKvv/6a/v3706lTJ8t0ICIikvbZPbtL2mA2mylQoAAnTpywtEVHR3PixAl8fX3jfU9YWFicAsl/i1npUYYMGThw4ABbtmx5YlErRseODwHYvt2J69eTJ3fOzs4UKlSIO3fuMHDgQDp06MDFixeTZVsiIiIiIiLyfC5dusTJkycxm800btzY1uGISCpUvXp19u7dy/jx48mePTv+/v6MGjWKKlWqMGPGDB49emTrEEVExArSVZWmadOm/Pzzz+zcuZNr164xa9YswsLCqF27NgDTpk1j4cKFlv7lypVj69at7N27l9u3b/P777+zePFiypUrl+4LXD4+PgnqV6hQFFWqhBEdbWLxYtdkiaVcuXJs2bKFYcOG4eTkxO7du6lXrx5ffvklYWFJN/yhiIiIiIiIPL+8efOybds2Pv3002feJCki8iTOzs50796dvXv3MmnSJHLlykVAQACff/65vgcSEUkn0s1QhPB4DO979+6xZMkSgoKCyJcvH++//75lKMI7d+7EekKrdevWmEwmfvrpJ+7evYuHhwflypWjQ4cONtqDlOfBgwdEREQ89aKkU6cQ9u93YtEiV95++wH29kkfh5OTE4MGDaJ58+a899577N69m88++4y9e/eydOnSpN+giIiIiIiIJIrJZKJo0aIULVrU1qGISBrg5ORE586dadeuHcuXL+fhw4eW7/gMw2D+/Pk0bdqUTJky2TZQERFJcumqsAXQqFEjGjVqFO+y0aNHx3ptb2/Pa6+9xmuvvWaFyFKfb7/9lilTpvD666/z7rvvPrFf48aP8PLy5MYNMzt3OlGvXvLdPZM/f34WLVrEqlWrGD16NJ07d062bYmIiIiIiIiIiG05ODjQvn37WG179+7lvffeY8yYMXTq1InXX3+dnDlz2ihCERFJaul7PD15ITly5CA0NJS1a9c+daJxZ2d47bUQABYsSJ7hCP/NZDLRsmVL9uzZw6uvvmppX79+PUuWLNGk6CIiIiIiIlY2bdo0BgwYwNGjR20dioikA3Z2dpQoUYJHjx4xa9YsqlatyuDBgzl79qytQxMRkSSgwpY8t/r16+Ps7MzFixc5efLkU/t26vS4sLVtmzM3b1rnY5chQwbL0JJBQUG89957DB48mNdee41z585ZJQYREREREZH0zjAMy8gaV65csXU4IpIOVK1alU2bNrFw4UKqVq1KZGQkS5YsoXbt2vTs2ZPAwEBbhygiIi9AhS15bu7u7tStWxeAtWvXPrVv4cKRVKoURlSUicWLk/+prf9yc3PjjTfewNnZmf3799OgQQMmT55MaGio1WMRERERERFJT/744w8uXbqEs7MzDRo0sHU4IpJOmEwmatWqxdKlS1m7di2NGzcG4Ny5c3h6eto4OhEReREqbMkLadq0KQDr1q175hB/MU9tLVrkSlRUsocWi4ODA/3792fHjh3UrVuX8PBwvvjiC+rXr8/u3butG4yIiIiIiEg6smbNGuDxqB9ubm42jkZE0qOyZcsya9Ysdu7cyWeffYad3eOvRENDQ+nUqROrV68mytpfVomIyHNTYUteSMxwhJcuXXrmcISvvPIIL69orl0z88svTlaKMLY8efIwb948ZsyYQdasWbl48SLt27fX0IQiIiIiIiLJwDAMS2Hr33Mgi4jYQuHChalUqZLl9dKlS9m5cyf9+/enZs2azJ8/X6P7iIikAipsyQtxc3NL8HCELi7QuvXjp7YWLLD+cIQxTCYTTZs2ZefOnfTo0YOOHTtSqFAhy/JnPXkmIiIiIiIiCXPkyBGuX78e69pRRCSlaNKkCUOHDiVjxoxcunSJESNGULlyZb755hvu3btn6/BEROQJVNiSF9a1a1c++ugjunbt+sy+McMRbtnijL+/bT9+Hh4ejBs3jk8//dTSdv78eWrVqsWSJUuIjIy0YXQiIiIiIiKpX8zTWg0bNsTFxcXG0YiIxJYpUyYGDx7Mr7/+ypgxY8iRIwcBAQFMmDCBSpUqcffuXVuHKCIi8VBhS15YjRo16Nu3Lzlz5nxm3yJFIqlQIYyoKBOLF9vuqa1/M5lMlt9nzpzJ+fPnGTx4MLVq1WLx4sUqcImIiIiIiDynQoUKUbRoUQ1DKCIpmqurK7169WLfvn18+eWX+Pr6UrFiRTJlymTpExwcbMMIRUTk31TYEquLeWprwQJXUtqwxR999BEjR44kU6ZMXLp0iSFDhlgKXBEREbYOT0REREREJFXp2rUr27Zto0GDBrYORUTkmRwcHHjttdf4+eef+fLLLy3t169fp1y5crz99tucPXvWdgGKiAigwpYkkUePHrFkyRIGDx78zDmqmjZ9RJYsUVy7ZmbMGE8rRZgwbm5u9O/fnwMHDvDBBx/EKnA1b95c82+JiIiIiIg8h3+PlCEiktLZ2dmRMWNGy+utW7fy6NEjli1bRp06dejTpw+//fabDSMUEUnfVNiSJGEYBu+//z5Llizh999/f2pfFxf46qsgAH74wY01a5ytEGHiuLm50a9fP0uBK3PmzDRs2NByMWYYhp7gEhEREREReYLIyEjWrFnDw4cPbR2KiMgL6969O+vXr6dx48YYhsGGDRt45ZVX6NixI/v379eN0CIiVqbCliQJV1dX6tWrB8DatWuf2b927TAGDrwPwLBhXly8aJ+s8T2vfxe4Xn/9dUv79u3bqVmzJosWLVKBS0RERERE5D/27dtHv379qF27tr7wFZE0oXTp0syaNYvt27fTunVr7O3t2bVrF127duXevXu2Dk9EJF1RYUuSTLNmzQBYt25dgi5chg27T8WKYTx4YMcbb2RMcfNt/Zurqyuurq6W13PnzuXKlSsMHTqUGjVqsHDhQsLDw20YoYiIiIhI2rBkyRLatm0b62fQoEGW5eHh4cyaNYuePXvSpUsXJk+eTFBQUKx13Llzh4kTJ9K5c2d69+7N/PnziYqKsu6OpHMxNzzWqVNHwxCKSJpSpEgRvv76a/bs2UO3bt3o1asXnp7/TLWxc+dO/T9HRCSZqbAlSaZevXq4uLhw9erVBI0zbDbDN98EkilTFCdOODJ2bMqab+tpZs6cyahRo/D29ubq1asMGzaMGjVq8OOPP6rAJSIiIiLygnLnzs3MmTMtP2PGjLEs++GHHzhy5AhDhgzh448/JjAwkClTpliWR0dHM3HiRCIjIxk3bhwDBgxg586dLF682Ba7ki6Fh4ezYcMGAF599VUbRyMikjzy5MnDhAkTGDFihKXt4MGDdOrUyTLKj74jEhFJHipsSZJxcXGhQYMGQMKGIwTIkSOar78OAmDuXDfWrk15823Fx8XFhddff539+/czevRovL29uXbtGu+++y69evWydXgiIiIiIqmanZ0dXl5elh8PDw8AQkJC2L59O926daNEiRIUKFCA/v37c/r0ac6cOQPAb7/9xrVr13jzzTfJly8fZcqUoV27dmzevJnIyEhb7la6sXv3boKCgvD29qZKlSq2DkdExGpu3bqFl5cXly5dYujQoVStWpVZs2YREhJi69BERNIUs60DkLSlWbNmrFmzhrVr1/LBBx8kaMiJOnUez7c1bVoGhg71okSJAPLnTx2PbLu4uNCnTx86d+7Mjz/+yLfffku7du0sy+/du0dISAhZs2a1YZQiIiIiIqnLrVu36Nu3Lw4ODvj6+tKxY0eyZMnChQsXiIqK4uWXX7b0zZkzJ1myZOHMmTP4+vpy5swZ8uTJg5eXl6VPzLwoV69eJX/+/PFuMyIiItb8uSaTCRcXF8vvthCz3dQ2lF/MjY5NmzbFbE5dXzuk1pynZsq59SnnyadFixY0aNCABQsW8L///Y+bN28yatQovvzyS4YMGULnzp1xcnKydZjpgj7n1qecW196znnqOsOUFK9OnTq4u7uTJ08eAgMDyZQpU4LeN2zYfQ4edOTQISf69cvI6tV3SE3/n/93gevfJyjz58/n008/pUmTJvTo0YNy5cqly39oREREREQSqnDhwvTv358cOXIQGBjIsmXL+Oijj5gyZQpBQUGYzWbc3NxivcfT09Myz1ZQUFCsolbM8phlT7Jy5UqWLVtmeZ0/f34mTZqEt7d3kuzXi8iWLZutQ0iw0NBQNm3aBEDPnj3Jnj27jSN6Pqkp52mFcm59ynnyGTVqFCNGjGDevHlMmjSJ8+fPM3fuXN577z3s7e1tHV66os+59Snn1pcec67CliQpFxcXDh8+TIYMGRL1PrMZvv02kIYNvfnjD0fGjvVg3Lh7yRRl8om5ozPGiRMniIiIYNWqVaxatYqSJUvSo0cPXn31VZydU8ewiyIiIiIi1lSmTBnL73nz5rUUuvbv34+jo2Oybbdly5Y0bdrU8jrmhrSAgACbDWFoMpnIli0bt27dwjAMm8SQWHv37uX+/ftkz56d/Pnzc/PmTVuHlCipMeepnXJufcq59TRt2pRGjRqxbt06vL29CQgIwDAMQkNDeeedd2jfvj3Vq1fXTdDJQJ9z61POrS+t5dxsNif4pjIVtiTJJbaoFSNmvq0uXTIzZ447lSuH07RpaBJHZ13Tp0+nX79+zJ49m9WrV/P7778zePBgxo4dS48ePRgyZIitQxQRERERSdHc3NzIkSMHt27domTJkkRGRvLw4cNYT20FBwdbntLy8vLi3LlzsdYRHBxsWfYkDg4OODg4xLvM1l8UGIZh8xgSqmrVqhw4cIArV65gMplSTdz/lZpynlYo59annFuHvb09LVq0IHv27Ny8eRPDMFi1ahUrV65k5cqVFC1alD59+tCiRQsNU5gM9Dm3PuXc+tJjzu1sHYCkXXfu3MHf3z9R76lbN4wBA+4DMHSoF5cupf7Hs19++WW++OILDh8+zHvvvUeOHDm4e/cuFy5ciNUvvf3jIyIiIiKSEKGhody6dQsvLy8KFCiAvb09f/zxh2X5jRs3uHPnDr6+vgD4+vpy5coVSzEL4Pfff8fFxYVcuXJZPf70KHfu3FSrVs3WYYiIpFiVK1emR48euLq68ueffzJkyBAqVqzIF198wZ07d2wdnohIiqfCliSLr7/+mjJlyjB9+vREv3fYsPtUqBDG/ft2vPFGRsLCkiFAG8iUKRMDBw5k//79fPfddwwYMMCy7PTp05bJRR89emTDKEVEREREbGvevHmcOnWK27dvc/r0aT777DPs7OyoXr06rq6u1K1bl3nz5nHixAkuXLjAt99+i6+vr6WwVapUKXLlysW0adO4dOkSx48f56effsLPz++JT2RJ0tDNeiIiCZM3b17GjRvHoUOH+OCDD8iRIwd37txh8uTJVKpUKdE3iouIpDcqbEmy8PX1JTo6mvXr1xMdHZ2o9zo4wDffBJIxYxR//OHIuHEeyRSlbZjNZl555RWKFi1qaZs/fz5//vknw4cPp1y5cowZM4YrV67YMEoREREREdu4e/cuX331FYMGDeKLL74gQ4YMjB8/Hg+Px9cF3bp1o2zZskyZMoVRo0bh5eXF0KFDLe+3s7NjxIgR2NnZ8cEHHzB16lRq1qxJu3btbLVL6caAAQPo2rVrrCfqRETkyby8vOjXrx/79u3j22+/pUyZMlSsWJGsWbNa+pw6dSrR362JiKR1JkO3VCW7gIAAIiIibLZ9k8kUaxxfawgNDaVkyZI8fPiQ1atXU758+USv4+efnejaNTMAM2fepUmT1DPfVmJzHhQUxOLFi/nhhx+4fPmyZR3169enZ8+eVK9eHTs71aGfxhaf8/ROObc+5dz6lHPrU86tL63l3MHBIcETDoskhC2v51LT8fngwQNKlSpFaGgomzdvpkSJErYO6bmkppynFcq59Snn1pfQnBuGwcOHD3F3dwfA39+fSpUqkS9fPnr37k3r1q1xcXGxVtipmj7n1qecW19ay3liruX0TbkkC2dnZ/z8/ABYu3btc62jXr0w+vd/PN/WO+94cfly6p9v60m8vLzo27cvu3fvZu7cudSqVQvDMNi6dStvvvkmkZGRtg5RRERERETkibZs2UJoaCgFChSgePHitg5HRCRVMplMlqIWwIkTJ3BycuLs2bO8++67VKhQgU8//VRDFYpIuqfCliSbZs2aAbBu3brnfmR6+PD7lC8fnubm23oSe3t7GjRowMKFC9m1axc9evSgV69eODo6AhAVFcVHH33EoUOH0kQVXkRERERE0obVq1cD8Oqrr2IymWwcjYhI2lCvXj0OHz7MqFGjyJ07N4GBgXz11VdUqlSJt99+mxs3btg6RBERm1BhS5JNzZo1cXd359atWxw5cuS51uHgAN9+excvr2h+/92R8ePT1nxbT1OoUCHGjRvHW2+9ZWnbtWsX33//PS1atKBBgwbMnTuX+/fv2zBKERERERFJ74KCgti1axcAzZs3t3E0IiJpS4YMGXj99dfZs2cPM2fOpEKFCkRERLBu3TqcnZ1tHZ6IiE2osCXJxtnZmYYNGwLPPxwhQM6c0Xz1VSAA33/vzoYN6fd/2rly5aJ9+/Y4Ozvz559/MnLkSMqWLcvw4cM5ceKErcMTEREREZF0aPPmzURERPDSSy/h6+tr63BERNIks9lMkyZNWLVqFevWrWPChAlkypTJsnzgwIHMmjVLN0CLSLqgwpYkq27duvHZZ58xaNCgF1pP/fph9Ov3AEj78209ja+vL1OmTOHIkSOMGTOGwoULExISwoIFC/Dz81NxS0RERERErC5mGMKY4ehFRCR5lSlThnbt2lleHzt2jJUrVzJq1CgqVKjA6NGjuXr1qg0jFBFJXipsSbIqX748HTt2jHUHyfN69917lCsXzr17dvTrl/bn23oaLy8vevXqxY4dO1i+fDktWrSgVKlSsSZpXrt2LWfPnrVhlCIiIiIikh40atSIihUr8uqrr9o6FBGRdKlIkSJMnDiRggULcv/+fb777juqVq1Knz59+PXXXzVPu4ikOSpsSarh4ADTpwfi5RXNb7+lr/m2nsRkMlG5cmW++eYb1q5da5mk+cGDB7zzzjvUrl2bNm3asHr1asLDw20crYiIiIiIpEVdu3Zl5cqVFChQwNahiIikS66urnTt2pWdO3cyf/58atWqRXR0NBs2bKBly5bs2LHD1iGKiCQpFbYk2T169Ijvv/+eXr16ER0d/ULrypkzii+//Ge+rY0b0+98W/9lb//P8IzBwcFUr14dOzs79u/fT//+/alQoQITJkzg4sWLNoxSRERERERERESSg52dHXXr1mXhwoVs376djh07UqBAAWrWrGnpc/jwYe7evWvDKEVEXpwKW5Ls7OzsmDx5Mps2beLQoUMvvL4GDcJ4443H820NGeLFlSvpc76tp8mZMyezZ8/m4MGDDBkyhGzZsnHnzh2++eYbqlevzqJFi2wdooiIiIiIpHIBAQHMnz9fX5CKiKRARYoU4bPPPmPHjh2YzWYAIiIi6Nu3LxUqVGD48OGawkJEUi0VtiTZOTk54efnBzye9ykpjBhxj7Jl/5lvS6PsxS9Hjhy88847HDx4kFmzZlG3bl3MZjM1atSw9Pnzzz85c+aMDaMUEREREZHUaO3atYwYMYKePXvaOhQREXmCmKIWgL+/P97e3oSGhrJgwQJq165N+/bt2bRpE5GRkTaMUkQkcVTYEqto1qwZABs2bCAqKuqF1+fgAP/73+P5to4fd6R+fW+++MKdCxf09FZ8zGYzjRs3Zv78+Rw9epRcuXJZln3yySfUqVOH5s2bs3jxYkJCQmwYqYiIiIiIpBZr1qwBoGnTpjaOREREEiJXrlxs3LiR5cuX07hxY0wmE7t376ZXr15UqVKFbdu22TpEEZEEMT+7i8iLq1GjBp6envj7+3Po0CEqV678wuvMmTOKadMC6dMnI+fPOzB5sgOTJ3vw8svhtGjxiGbNHpEz54vN6ZUWZc6c2fJ7VFQUTk5O2Nvbc/jwYQ4fPsyoUaNo2bIlHTt25OWXX7ZhpCIiIiIiklJdv36dQ4cOYTKZVNhKBx49gnPnHPjrLzNnzpg5fdqB8+fNZMoUTcWK4VSo8Pgnc2Zdg4ukdCaTicqVK1O5cmWuXr3K/PnzWbhwITdu3CBr1qyWfo8ePcLZ2RmTyWTDaEVE4qfClliFo6Mjfn5+LFmyhLVr1yZJYQugTp0wjh71Z9MmZ9asceGXX5z44w9H/vjDkbFjPalYMYzmzR/RtGkoWbLoBPu/7O3tmTlzJv7+/ixZsoRFixZx+fJl5s2bx7x582jTpg1fffWVrcMUEREREZEUJmaY+UqVKpEtWzYbRyNJJSwMzp83c+ZM7CLW5cv2GEbcL7cvXYKjRx353/8evy5QIJIKFcKpWDGM8uXDKVgwCn0nLpJy5c6dm/fff58hQ4bwyy+/xLrB+cMPP+SPP/6gW7dutGzZEhcXFxtGKiISmwpbYjXNmjVjyZIlrF+/njFjxmBvnzTDBnp4GLRt+4i2bR/x9992rF/vzOrVLhw86Mivvzrx669OfPSRQfXqj4tcjRqF4ulpJMm204qsWbPy5ptvMmDAAPbu3cvChQvZtGkT5cqVs/S5f/8+p0+fply5crpbR0REREQknYspbMUMOy/JJzISTpxwICICnJzAwcHA0dHAyQkcHQ0cHP753ZzAb3kiIuDSJfP/F6/+KWJdvGgmKir+672MGaN46aVIfH0jKVIkgkKFIrl5055Dhxw5dMiR06cduHDBzIULZhYvdgUgU6Yoy9Nc5cuHU7JkBE5OSZUZEUkqzs7ONGzY0PI6LCyMjRs3EhQUxLBhwxg3bhxt27ala9euFChQwIaRiog8psKWWE316tXx8fGhZMmSBAUFxRoSL6lkzhxN164hdO0awo0bdqxd68Lq1S789psju3Y5s2uXMyNGGNSpE0rz5o9o0CAMV1cVuWLY2dlRo0YNatSowd27d3F2drYsW7lyJe+99x4vvfQSHTp0oFWrVmTKlMmG0YqIiIiIiC1cvnyZ48ePY2dnp2EIk4lhwPHjDqxc6cKaNS4EBCTsxlA7OwNHx8dFrn9+iPV7SIiJ8+fNRETEX8Dy8Ii2FK+KFPnnv1myRMf79FWbNo8ACAw0ceTI4yLX4cOOHD/uyN279mze7MLmzY+f9HByMihVKpyKFR8XusqXD0eXlSIpj5OTE7t372bJkiXMmzePy5cv89133/Hdd99Ru3Zt+vbtS82aNW0dpoikYypsidU4Ojpy8OBBHB0drbK9HDmi6dv3IX37PuTiRXtWr35c5DpzxsFyYu3qGk3Dho+LXLVqhenOsX/5b9EqptD1119/MWrUKMaNG0e9evVo06YNdevWxUnJExERERFJF44dO4a9vT1Vq1YlS5Ystg4nTTl/3p5Vq1xZudKFixf/+crG0zOajBmjCQszEREB4eEmwsNNhIURa4jA6GgToaEQGvrsUTZcXWMKWJH4+kb8/9NYEWTPHn8B61kyZjSoXz+M+vXDAAgPhz/+cLA80XXokCN//21vGVklhq9vBDVrQqFCrhQvHk7RopG4uOgGVBFby5QpE2+88Qavv/46O3bs4IcffmD79u3s3LmT8uXLq7AlIjZlMgxDZwvJLCAggIiICJtt32QykT17dm7evEl6/3MbBvz1l5lVqx7f9XblSuwLhVdeeTykYYUK4S80DnhazXlwcDArV65k0aJFnDhxwtKeJUsWDhw4YNPxltNqzlMy5dz6lHPrU86tTzm3vrSWcwcHB7y9vW0dhqQhtryeS8nH599//83du3cpXLiwrUNJUrbIub+/HWvWuLBy5ePRRmK4uETj5xdKy5aPb8R0cIj7XsN4PFRhRMTjIldMwSs8/N+/P14WEfH4d7PZoHDhSHLlisLOziq7aIn1wgV7Dh925NdfHxe6zp+Pu1N2dgYFC0ZSokQEJUpEUKzY4/9mypSyjoHULCX/25JWpZWcX758mfnz59OnTx+yZs0KwJYtW1i3bh3du3enTJkyKWb6irSS89REObe+tJbzxFzLqbBlBSpsxXXlyhVMJhO5c+e2WQyGAceOObB6tQtr17rg7//P0A758kXStm0IbdqEkDNndKLXnRJzntT++usvli9fzooVKyhevDjz5s2zLFuyZAlVqlSx6t83PeQ8pVHOrU85tz7l3PqUc+tLazlXYUuSmgpb6Yu1cn7vnomNG51ZudKVvXsdiY5+/EWwvb1BrVphtGz5CD+/UNzc0vbf/e+/7Th82JEzZzJx4EAoJ044cOdO/MMu5sjxuNhVvPg/Ra+cOaNe6KbU9Er/tlhfWs55u3bt2LNnDwAlS5akW7duNG/e3KY3P0PaznlKpZxbX1rLuQpbKYwKW7F98cUXTJ48mS5duvDJJ5/YOhwAoqLgwAFHli1zZd06Z0JCHt+2ZjIZ1KwZRrt2Ifj5hfKvKaeeKqXlPDlFRUXFmjPt6tWrVK5cGYAqVarQpk0bmjRpQoYMGZI1jvSU85RCObc+5dz6lHPrU86tL63lXIUtSWoqbMUWHh5uteHlbcHf354DB7ISERGEj0+U5SdjRuOFCyhhYbBjhzMrVriwbZszYWH/rLBcuXBatQqhadNQsmRJ/M2Vqdl/P+f+/nacOOHAiRMOnDz5+OfSpfhn0vDyirY80fW46BVBoUKRmDXxxlOlxH9b0rq0nPNjx44xd+5c1q5dS1jY46FIPT09adu2LV26dKFgwYI2iSst5zylUs6tL63lXIWtFEaFrdh27txJp06dyJw5MwcPHrT5HRz/9fChiXXrnFmyxJUDB/4Z99vTM5pXX31Eu3YhlC4d8dSLmpSWc2s6efIkY8aMYe/evZZ9d3Z2xs/PjzZt2lCzZk3MyXCVkZ5zbivKufUp59annFufcm59aS3nKmxJUlNhK7ZGjRrh6urKJ598gq+vr63DSVJbtjgxZEhGAgPjjs/n4GDg7R1F1qzR+PhE4e0dTdasUfj4PH6dNWs03t6P2/89ZGB0NOzf78iqVS6sX+9CcPA/6y5cOIKWLR/RosUj8uaNssYupkgJ+Zzfu2fizz8dLAWvEyccOHPGTGRk3AvzzJmjaNv2EZ06PSR//vSb16dJif+2pHXpIed3795l8eLFzJs3jytXrgBQpkwZ1q1bZ5N40kPOUxrl3PrSWs5V2EphVNiKLSIigipVqnDz5k3efPNNRowYYeuQnujSJXuWLnVl6VIXrl//pxjj6xtBu3YhtGr1CB+fuHfTpbSc28L169dZuXIlS5cu5dy5c5b2qVOn0qpVqyTfnnJufcq59Snn1qecW59ybn1pLecqbElSU2HrH5cuXaJatWrY29tz/PhxMmXKZOuQkkRYGIwf78H337sDUKwYZM4cxu3bdvj72xMUlPCJqEwmg0yZoi0Fr9OnHbh165+h9bJli6J580e0ahVC8eKRGkaP5/+ch4XB2bNmy5NdMf99+PCfv1e1amF07vyQRo1CScMPGiZaSvu3JT1ITzmPjo5m586d/PDDDzRr1ow2bdoAj+dtnzt3Lh06dMDHxyfZ40hPOU8plHPrS2s5V2ErhVFhK66NGzfSu3dvzGYzW7ZsoUiRIrYO6amio2HPHkeWLHFl40YXQkP/Gf+8Tp3HQxXWr//PiXJKzLmtGIbB77//zrJly9i6dSs///wzbm5uAKxYsYLbt2/TrFkzcubM+ULbUc6tTzm3PuXc+pRz61POrS+t5VyFLUlqKmz9Y/r06YwbN45q1aqxZMkSW4eTJC5csKdfv4ycOPH4Yu711x/w9dfu3L37T87DwuDOHXv8/e24ffvxfwMC7C2Fr9u3H7cHBNgRFRW3UuXhEU2TJo9o2fIRlSuHYx//FFLpVlJ+ziMj4eefnfnxR1d27HDCMB7/PWKe4urY8SEFCugprpT2b0t6oJzDd999x+jRozGbzbzyyit069aNSpUqYUqmCr9ybn3KufWltZwn5lpOow6LTTRq1IiGDRuyZcsWRowYwfLly7GzS/hdcNZmZwc1a4ZTs2Y4wcHBrF3rwuLFrhw96si2bc5s2+ZMpkxRtGz5eKjCEiV0ohzDZDJRqlQpSpUqxZgxYywnLIZh8M033/DXX38xduxYypcvT7NmzWjatCnZsmWzcdQiIiIiIvJfGzZsAOCVV16xcSRJY/lyF957z5OHD+3ImDGKL78MokGDcJyc3GP1c3KCnDmjyJkzCnhykTM6Gu7etbMUwG7ftiNjxmhq1QrDyemJb5MkZDaDn18ofn6hXLtmz6JFrvz0kyu3btkzfbo706e7U61aGJ06PaRxYz3FJWJN+fPnp3z58hw+fJg1a9awZs0aihQpQteuXWndunWyz80uImlLuntia9OmTaxdu5agoCDy5s1Lz549KVSo0BP7P3z4kEWLFvHrr7/y4MEDvL296datG2XLlk3wNvXEVvyuX79O7dq1CQkJ4bPPPqNjx462DinRzp41s2SJC8uWuXL79j+33RUvHsHgwQ40aHATsznl5DwliYqKYsGCBaxevZqDBw9aPpsmk4mKFSvStm1b2rdvn+D1pdTPeVqmnFufcm59yrn1KefWl9Zyrie2JKnpia3Hbty4QYUKFTCZTBw5coSsWbPaNJ4X8fChiZEjPVm61BWAKlXCmDo1kOzZo1NUztOL5M65nuKKS59z61PO/3HixAnmzZvHihUrePToEQBeXl4cOnQIV1fXJNuOcm59yrn1pbWcJ+ZaLuU+IpMM9u3bx7x582jTpg2TJk0ib968jB8/nuDg4Hj7R0ZGMm7cOAICAhgyZAhffvklffv2TTPjiNtazpw5GTp0KD4+PmTMmNHW4TyXwoUjGTnyPocO+TNv3t80afIIR0eDkycd6N0batb0ZskSFyIjbR1pymNvb0/Xrl1Zvnw5hw8fZsyYMVSoUAHDMDh48CC7d++29DUMg7t379owWhERERGR9G3Tpk0AlC9fPlUXtU6cMNOokTdLl7piZ2cwdOg9Fi/+m+zZ486dLGlDzFNc8+ff5cCB2wwadJ9s2aL4++/HT3HVqJGVtm0zs3q1M2Fhto5WJO0rUaIEn376KUePHmXs2LEUKlSI6tWrxypq7dq1i9DQUBtGKSIpXboainDdunXUq1ePOnXqANCnTx+OHj3Kjh07aNGiRZz+27dv58GDB4wdOxaz+XGqrDG5YXrSq1cv2rdvj6enp61DeSFmM9SrF0a9emHcvWtiyRI3Zszw4PJlM4MHZ+TrrzMwZMh9mjd/pPHU45EtWzZ69epFr169uH79OuvXr6dkyZKW5adPn6Zhw4ZUrVqVV199lUaNGqnALCIiIiJiRal9GELDgLlzXRkzxpPwcBPZs0cxbVoglSuH2zo0saJcuaIYNuw+gwffj/UU1969j38yZYqiXbv0+RSXiLV5eHjQs2dPevTowf379y3t58+fp2PHjnh5edG6dWs6duzISy+9ZMNIRSQlSjeFrcjISC5cuBCrgGVnZ8fLL7/MmTNn4n3PkSNHKFy4MN9//z2HDx/Gw8ODatWq0aJFi3jng4qIiIg1RIXJZMLFxcXyu63EbNuWMTyJg4MDXl5elteGYaTIOBMjc2bo3z+Ed9/1YNKke0yb5s7Fi2befDMjX3/tzjvvPKBp01BS8JRiNpUrVy769u0bq23//v1ERUWxe/dudu/ezXvvvUeNGjUsRS5PT88U/TlPq5Rz61POrU85tz7l3PqUcxFJiA4dOuDu7k7jxo1tHUqiBQaaeOcdLzZvfnx93rDhI6ZMCSJTptQ/ZI88n4TMxVW1ahjNmj2iTp0wcudWkUskuZhMJjw8PCyvr1+/To4cObhx4wbff/8933//PWXLlqVjx468+uqruLm52TBaEUkp0s0cW3fv3uWNN95g3Lhx+Pr6Wtp//PFHTp06xYQJE+K8Z9CgQQQEBFC9enX8/Py4desWs2bNonHjxrz22mtx+i9ZsoRly5ZZXufPn59JkyYlzw6lMYZhsGDBAqZPn87PP/+Ms7OzrUNKMvfvw9SpMHkyBAY+bnv5Zfj4Y2jRAvQdUsKcO3eOJUuWsGTJEn777TdLu4ODA3v37qVChQo2jE5ERERE0irNsZW6/fqrIwMGeHHjhhlHR4MPPrhHz54Pn3gdppxbX0rJ+ZPm4gIoVCiC2rXDqFs3jEqVwkjtX1mklJynJ8p54kRFRfHLL7+wcOFCtmzZQuT/z/Hh5ubGTz/9RNmyZZ+5DuXc+pRz60trOU/MHFvp5omt52EYBh4eHvTt2xc7OzsKFCjA3bt3WbNmTbyFrZYtW9K0aVPL65i7XgMCAiz/ANuCyWQiW7Zs3Lp1K8V+wB8+fMiwYcO4desW7733HsOHD7d1SC/kvznv0QNatzbx3XduzJzpxh9/2NGqFZQoEcGwYfepXz9MBa5ncHNzo0ePHvTo0YNz586xdu1a1qxZg7+/Pz4+Pty6dYts2bIxZcoUIiIiaNiwIdmzZ7d12Glaavi3Ja1Rzq1PObc+5dz60lrOzWZzgi+GRCTtioqCqVPdmTIlA9HRJvLnj2T69EBeftk2RUpJ+f77FNeKFS7s2OHEkSOOnDvnwLlzDsya5Y6zczRVq4ZTp04YtWuHashCkWRgb29PnTp1qFOnDgEBASxdupSFCxcSGBhIsWLFLP1OnDhB7ty5U/0UJyKSeOmmsOXh4YGdnR1BQUGx2oOCgmINhfdvXl5emM3mWMMO5syZk6CgICIjIy3zbsVwcHDAwcEh3nWlhC8JDMNIEXHEx9XVlbFjx9KnTx+++eYbWrRoQeHChW0d1gv7d84zZDAYMuQ+PXs+YOZMd2bNcuPECQe6dctE6dLhDB16n9q1VeBKiIIFCzJo0CAGDRrE7du3cXBwsOR66tSpXL58mffee48yZcrg5+dHo0aNKFSokIZYSiYp+d+WtEo5tz7l3PqUc+tTzkUkPkFBQfz000+88sor5MmTx9bhJMitW3a8+WZG9u1zAqB16xAmTAjG3V3/xknC5MoVxVtvPeCttx4QHGxi924ndu50YscOZ27dsmf7dme2b3cGPMmXL5LatcOoUyeUqlXDcXXV50wkKXl7e9O/f3/69evHlStXLKM8GYZBv379uHHjBk2aNKFTp05UrFhR3/2IpBPpZpYfs9lMgQIFOHHihKUtOjqaEydOxBqa8N+KFCnCrVu3iI6OtrTdvHmTjBkzxilqyYtr3LgxDRo0ICIignfffTdW3tMSLy+D4cPvc+DAbQYMuI+LSzTHjzvSuXNmWrTIwu7djug7pYTz8fGx/B4ZGUmnTp0oV64cAMeOHeOTTz6hdu3a1KxZk2+//dZWYYqIiIjIc1q1ahVt27Zl7ty5lrbw8HBmzZpFz5496dKlC5MnT45zE+OdO3eYOHEinTt3pnfv3syfP5+oKD1ZkVhbt25l7NixdO/e3dahJMjPPzvRoIE3+/Y54eoazZdfBvL110Eqaslz8/Q0aNo0lMmTgzl82J9t227zwQfBVK0ahoODwaVLZubOdaNbt8wUL56N9u0zM2OGG2fOmHVtL5KETCYTefPmtbwOCAjA0dGR0NBQli9fTqtWrahVqxb/+9//+Pvvv20YqYhYQ7opbAE0bdqUn3/+mZ07d3Lt2jVmzZpFWFgYtWvXBmDatGksXLjQ0r9hw4Y8ePCAuXPncuPGDY4ePcrKlSvx8/Oz0R6kbSaTiXHjxuHi4sLBgwdZsmSJrUNKVpkyRfP++48LXK+//gBnZ4PDhx1p3z4Lbdpk5sABR1uHmOo4ODgwcOBA1qxZw9GjR5k0aRJ169bF0dGRCxcucPXqVUvfqKgotm/fTmhoqA0jFhEREZGnOXfuHFu3bo31RRbADz/8wJEjRxgyZAgff/wxgYGBTJkyxbI8OjqaiRMnEhkZybhx4xgwYAA7d+5k8eLF1t6FVG/jxo0AvPLKKzaO5OnCw2HMGA+6ds3M3bv2FC8ewaZNAbz22iNbhyZpiMkERYtG0q/fQ5Yu/ZsTJ24xe/ZdunR5SK5ckYSHP366a8wYT+rU8aFSJR+GD/dkyxYnwsJsHb1I2uLj48O2bdtYs2YNHTp0wNXVlfPnzzN27FjKlSvHrFmzbB2iiCSjdFXYqlq1Kl26dGHJkiUMHz6cS5cu8f7771uGIrxz5w6BgYGW/lmyZGHkyJGcP3+eYcOGMWfOHBo3bkyLFi1sswPpQK5cuRg6dCgAY8eOTRd3WGTJEs2oUffYt8+fnj0f4OhocOCAE61bZ6Fdu8wcOhT/8JbydFmzZqVz587Mnz+f33//nenTp9OpUyfL8iNHjtClSxdKlixJ3759WblyJcHBwTaMWERERET+LTQ0lKlTp9K3b1/c3Nws7SEhIWzfvp1u3bpRokQJChQoQP/+/Tl9+jRnzpwB4LfffuPatWu8+eab5MuXjzJlytCuXTs2b95s0/mPU5uHDx+ya9cu4PEIGynVvn2OvPpqFmbMcAegZ88HrFkTQMGCekJPkpe7u4GfXyiffBLMgQO32bXrNqNHB1OrVihOTgbXr5tZsMCNHj0yU7ZsNoYP9+TgQUfS6AA1IlZnMpkoV64ckydP5tixY3z66aeULl2aiIgIihYtaul348YNrly5YsNIRSSppbvx9Bo1akSjRo3iXTZ69Og4bb6+vowfPz6Zo5J/6927N8uXL+fUqVNs3bqV9u3b2zokq8iaNZqxY+/Rr98Dpk7NwKJFruzZ48SePd7UqRPKO+/cp0wZTXT8PDJkyMCrr74aq+3OnTtky5aNW7dusW7dOtatW4fZbKZKlSo0atSIZs2akTlzZhtFLCIiIiKzZs2iTJkylCxZkhUrVljaL1y4QFRUFC+//LKlLWfOnGTJkoUzZ87g6+vLmTNnyJMnT6z5lEuXLs2sWbO4evUq+fPnj7O9iIgIIiL+Od82mUy4uLhYfreFmO3aavsxIxzky5eP4sWLp7h5S44ccWDSpAzs2fN4Lq2MGaOZMiWIRo3CgOeL1dY5T4/SSs5NJihcOIrChUN4/fUQQkLgwAEntm93YsOGx3NzLVjgxoIFbuTMGUmrVqG0avWIIkWsX2xPKzlPTZTz5JchQwY6d+5M586d+fPPPy2FLZPJxMyZM/nuu++oVq0a7du3p3Hjxri6uto44rRHn3PrS885T3eFLUn5zGYzn3/+OQ8fPqRy5cq2DsfqcuSIZuLEYPr3f8BXX7mzZIkrO3Y4s2OHMw0ahDJ06D1KlNBdpi/qlVdeoVGjRvz+++9s3ryZzZs3c/r0aXbv3s3u3bspWbKkpbB179493NzcsLe3t3HUIiIiIunD3r17uXjxIhMnToyzLCgoCLPZHOspLgBPT0/LPFtBQUGxiloxy2OWxWflypUsW7bM8jp//vxMmjQJb2/v59+RJJItWzabbHf79u0AtG3blhw5ctgkhvgcPw4ffgjr1j1+7eAAr78OI0fakT17piTZhq1ynp6lxZwXLAidOkFUFOzaBT/+CMuWwfXrZqZOdWfqVHdKl4bOnaFDB7D2YZYWc57SKefWkT17dsvv2bJl48GDB5hMJvbu3cvevXvx8PCgQ4cO9OzZkwoVKqTLokBy0ufc+tJjzlXYkhTp33dfple5c0cxeXIwAwc+4MsvM7B8uQtbtzqzdaszr7zyiCFD7lO0qApcL8LOzo7SpUtTunRp3n33XS5cuMCWLVvYv38/pUuXtvQbO3YsmzZtom7dutSvX5/atWuTIUMG2wUuIiIikobduXOHuXPn8sEHH+DoaL15Z1u2bEnTpk0tr2O+5AoICLDZ8IUmk8kyyoBhGFbddmhoKOv+v3JUq1Ytbt68adXtx+fsWTOTJ7uzdu3jJ+ns7Q3atn3E4MEPyJXr8bCDLxqmLXOeXqWXnBctCuPHwwcfwLZtzixf7sKOHU4cP27i+HEYNsygWrVwWrd+xCuvhJIhQ/LlIr3kPCVRzq3v3zmfMmUKgwcPZunSpSxevJgrV64wY8YMZsyYQbVq1Vi6dKmtw00T9Dm3vrSWc7PZnOCbylTYkhTvypUrHDlyhJYtW9o6FJvIly+KL78M4s037/PFFxlYtcqFDRse/zRr9oh33rlP4cIqcCWFAgUK8MYbb/DGG2/Eaj906BB3795l2bJlLFu2DLPZTOXKlalfvz7169ePdygbEREREXk+Fy5cIDg4mHfffdfSFh0dzZ9//smmTZsYOXIkkZGRPHz4MNZTW8HBwZantLy8vDh37lys9cbMp/rfJ7liODg44OAQ//y2tv6iwDAMq8dw6tQpoqOjyZ49OyVLlrRpDi5dsufzzzOwcqUL0dEmTCaDFi0eMXjwfcs8Wkkdni1ynt6ll5w7O0PTpo9o2vQRd++aWLfOhRUrXDh0yOn/pyNw4r33DBo0CKVVqxBq1w4juWr86SXnKYlybn0xOc+ZMyeDBg3irbfeYv/+/fz0009s2LCBEiVKWP4mUVFR7Ny5k1q1amE262vz56XPufWlx5zrCJUU7fz58zRs2NAyhn6hQoVsHZLNFCwYxbRpQbz11gOmTMnAunUurF3rwvr1zpaLugIFNDlycti6dSuHDh1i27ZtbNu2jfPnz7Nnzx727NnD/Pnz+eWXXyx9DcPQI+wiIiIiL+Dll19m8uTJsdqmT59Ojhw5aN68OVmyZMHe3p4//vjDMnT5jRs3uHPnDr6+vsDjuZJXrFhBcHCwZQjC33//nf9j777jmjr3B45/skgCiIgLnIiI4kJFFERFcaLWbbXaan/V7t7O294ub+ft7dL2tnart7W1tY6KteLeA9wLcYF74AZlhCQkvz9SD+ZaWwckJHzfr1deNicnOU++PSQnz/d5vo/RaKROnTqufUMeqnXr1uzatYvDhw+jVqvd0oaTJ9X85z+V+PlnX6xWxzV2UpJjcJ9UrxDeICjIzujRBYweXcCxYxrmznUkuTIzdcyf7/jNHxhoo3//QgYPLqRtWzPyc1OIO6NWq4mPjyc+Pp5//etfTutrrl+/ntGjR1OjRg2GDBnC8OHDadSokRtbK4S4EfdcnQpxk8LCwujQoQMWi4UXX3yxwmWe/0hEhJWvvrrE0qVn6d27EJtNxS+/+NKlSw2efTaQY8dkHajSptPp6NChA//85z9Zs2YNa9eu5fXXXyc+Pp6kpCRlP5PJRExMDI899hi//PILFy9edGOrhRBCCCE8k9FopF69ek43vV5PpUqVqFevHr6+viQmJjJt2jTS09M5dOgQn3/+OREREUpiKyoqijp16jBp0iSOHDnCjh07mDFjBr169brhrCxxPT8/P5o3b+7y4547p+af/wygY8eaTJ/uh9WqIjHRRErKOSZPviRJLeGV6tUr5qmn8li16hyLFp3jwQfzqFGjmJwcNdOm+TFwYDU6dKjBW28FsGGDD9f0xQshblNAQICyvjrAhQsXqFq1KmfPnuWLL76gS5cu9O/fn+nTp3PlyhU3tlQI8b9UdskUlLlz5845Zf9dTaVSERISwunTpz0yMXT8+HG6dOmCyWRi4sSJDB8+3N1N+kuujPmuXTo+/LASy5cbANBq7QwfXsBTT+VRu3bFmcHlrvP82hlaq1evZuTIkcpjarWatm3bkpiYSGJiIk2bNvWq2Vye/tniiSTmricxdz2Juet5W8x1Ot1N12UXnuP1118nNDSU+++/HwCz2cy0adNYv349VquVqKgoxo0b51Rm8Ny5c0yePJk9e/ag1+tJSEhg1KhRaDS3NhDMnb/n3PX3abFY3JIAvHhRxZdf+jN1qh+FhY5xuHFxRbzwwhXatTO7pA3e9pnoCSTmN1ZcDOvX65kzx8jChQby80vGp/v72+jcuYhu3Ux06VJEcLDtpl9XYu56EnPXu92YWywWVqxYwYwZM1i+fDnFxY6+NYPBwMqVK6lXr15ZNdnjyXnuet4W81v5LSeJLReQxNad++KLL3j77bepUqUKa9asISgoyN1N+lPuiPm2bTomTKjEqlWOBJePj52RIwt44okrhITc/AWupyoP53lxcTHbt29n6dKlLF++nL179zo9/sYbbzBu3Di3tK0slIeYVzQSc9eTmLuexNz1vC3mktgSpa0iJrZeeOEFtm/fzj/+8Q+6d+9e5se7ckXFN9/48fXX/ly54ui4b93azD/+cZmOHV1bes3bPhM9gcT85hQWqli6VM/y5QZWrtRz4YJzkr5ZMwuJiSa6dSuidWszf7Y8kMTc9STmrlcaMT979ixz5sxhxowZ2O12Vq9erQxYnjt3LqGhobRq1cqrBjHfCTnPXc/bYi6JrXJGElt3zmKxkJSUxN69exk2bBgff/yxu5v0p9wZ802bfPjww0qsX68HQK+3c++9+TzxRB41anhvgqs8nucnTpxgxYoVrFixgnXr1jF//nwiIyMBmDdvHt9//z3dunUjMTGRiIgIj7sQKo8x93YSc9eTmLuexNz1vC3mktgSpa2iJbaKi4tp06YN58+f58cffyQhIaHMjlVYqGLqVD8+/9yfnBxHQqtpUwsvvHCZ7t2L3LKWkLd9JnoCifmts9kc1VtWrNCzYoWBHTt02O0lfzCBgTYSEkwkJhbRtWsRVas69wVIzF1PYu56pRlzu93OhQsXqFatGgCFhYW0atWKvLw8wsLCGDx4MEOGDKnws7nkPHc9b4u5JLbKGUlslY4tW7YwcOBA7HY7c+bMURaKLo/KQ8w3bPDhgw8qsWmTI8FlMNgYM6aAhx/Oo2ZN70twlYeY/xmTyYRer1eSV0888QRz585VHq9duzZdu3alW7duxMfH4+fn566m3rTyHnNvJDF3PYm560nMXc/bYi6JLVHaKlpiKy0tjSFDhlC5cmV27NiBj49PmR1rzJggli1zVJwID7fw979foW9fE2o3rgbubZ+JnkBifufOn1ezapWeFSv0rF5tUBLFACqVnVatHLO5EhOLaNnSgkYjMXc1Oc9dryxjfubMGd566y0WLlyIyWRStsfExDBkyBD69etHlSpVSvWYnkDOc9fztpjfym+5P5mYLET50rZtWx544AECAgJo1aqVu5tT7nXoYOaXXy6wdq2e99+vxPbtPnz1lT/ffuvH8OEFPPpoHvXqVZw1uNzNYDA43X/++edp06YNK1euZMOGDZw8eZIffviBH374Ab1ez7Zt25zWiBBCCCGEEMIVUlJSAOjRo0eZJrUyMrQsW2ZAo7Hz4Yc5DBlSyC0ufyaE+F21ajaGDi1k6NBCrFbYvt2H5csds7n27NGxfbsP27f7MGECVK1aTGJiEUOGQNu2KoxGz+8IFcLVatasyaRJk8jLy2PhwoXMmTOHdevWsXnzZjZv3szZs2d57rnn3N1MIbyaJLaER3nzzTfd3QSPolJB585FdOpUxIoVej75pBJbtvgwbZof06f7MnBgIU88kUdEhNXdTa1w6tevzwMPPMADDzxAYWEhGzZsUMoWVq5c2Smp9dxzz2E0GunatSsdOnTAaDS6r+FCCCGEEMJr2Ww2JbHVt2/fMj3W1Kl+vx/HxN13F5bpsYSoSLRaiIkxExNj5sUXr3D6tJpVqwysWKFnzRrH2lyzZvkyaxb4+dWgb18TQ4cWEBdndutsSSE8kb+/P8OGDWPYsGGcPn2aefPmMWfOHAYPHqzss3z5chYvXsyQIUOIiYlBLX9oQpQKKUXoAlKKsGxYrVYuX75MUFCQu5tynfIac7sdNm704dNP/Vm1qmQGUVJSIX/7Wx5RUe47T+9UeY35rbLb7eTm5iqJrfz8fJo3b47ZbAZAr9cTGxtLly5dSExMpGHDhm5bm8tbYu5JJOauJzF3PYm563lbzKUUoShtFakU4fbt2+nXrx++vr7s3r37uqoDpeXiRTUxMTUxmVQkJ58jJqb8/A7xts9ETyAxdx2zGTZv9mHlSgOLFvlz+HDJY7VrWxk8uJChQwsID5fqLqVNznPXKy8xHzduHAsXLgSgbt26DBo0iEGDBhEREeG2NpWV8hLzisTbYn4rv+UkRSw80v79++nbty8PP/ywV/zRuopKBbGxZqZPv0hKyjn69HGMjFy40EifPtUZOTKI1FQfJKTuo1KpnGZrabVavvzyS+69915q165NUVERq1ev5o033iAhIYGnn37abW0VQgghhBDe5epsrW7dupVZUgvghx98MZlUREWZadu2/CS1hPB2Pj4QH29m/PgrZGXB3LnnGTUqn0qVbJw8qeXTTyuRkFCTfv2q8e23vly86J5BlEJ4k7FjxzJ8+HD8/f05fvw4n3zyCV27dqVHjx589tln2Gw2dzdRCI8kiS3hkYxGI5mZmWzYsIHZs2e7uzkeKSrKwjffXGLlyrMMGVKARmNn9WoDQ4dWY9CgqixfrpcEVzmg1+vp1asX7733Hhs3bmTVqlX885//pFOnTvj4+NCyZUtl35MnT3L33XfzxRdfsG/fPkn6CiGEEEKIW9KpUycGDRrkVEKptFks8N13jjKEDzyQj5uKDwhR4alU0L69hfffz2X79my++OIiiYkmNBo727f78MorgbRpE8yDD1Zh8WIDvxcREULcori4OCZOnMiOHTv4/PPP6d69OzqdjoyMDBYsWOBUmjA/P9+NLRXCs0gpQheQUoRl47PPPuOdd96hSpUqzJo1i5o1a1K5cmU05WDFYU+M+bFjGr74wp+ff/alqMjx67JpUwt/+9sV+vY1lfuFnD0x5neqoKAAm82Gv78/AD/++CPPP/+88nhISAhdu3alS5cudOrUiYCAgFI9fkWMubtJzF1PYu56EnPX87aYSylCUdoqUilCV5g3z8BjjwVRvXoxGzeeQa93d4uceWPMyzuJuev9WczPnlWTnGxk9mxf9uzRKdurVClm4MBChg4tJCrKIknpWyTnueuV55hfunSJlJQUAgMDlTUtL1++THR0NO3atWPAgAEkJSVRqVIlN7f01pTnmHsrb4v5rfyWk8SWC0hiq2xYLBZ69+7Nvn37nLZv3LiROnXqAPDTTz+xevVqAgMDlVuVKlUIDAykcuXKREVFYTQaS71tnhzzM2fUfP21P9Om+VJQ4Bg10qCBlSeeuMLgwYX4+Li5gTfgyTEvLSdPnmTx4sWsXLmSDRs2YDKZlMc0Gg0//PADnTt3LrXjScxdT2LuehJz15OYu563xVwSW6K0SWKrdPXvX42tW3147rnLPPtsnrubcx1vjHl5JzF3vZuNeUaGltmzfZk718jZsyWjXRs1sjB0aCGDBhVQu7aUUbsZcp67nqfFfNGiRYwdO1a5r9fr6datGwMHDizzEsGlxdNi7g28LeaS2CpnJLFVdnbt2sUTTzxBdna2Ml137969ysyUF154genTp9/w+WlpadStWxeADz74gOTkZGJjY+nYsSMdOnSgZs2at9Uub4j5pUsq/vtfP6ZM8Scnx5HgqlXLyqOP5nPPPQUYjeXrfXlDzEtTYWEhGzduZOXKlaxcuZLDhw+za9cuqlSpAsDUqVPZtm0bnTt3JiEh4bbOdYm560nMXU9i7noSc9fztphLYkuUtoqS2JoyZQpxcXFERkaiKqOpGDt26Ojbtzo6nZ1Nm85Qo0b56xD3ts9ETyAxd71bjbnVCmvX6pk928iiRUZMJtXvr2MnPt7M4MEFJCWZCAiQ/383Iue563lizA8dOsS8efNITk4mMzNT2e7v78+XX35J165d3di6v+aJMfd03hZzSWyVM5LYcg2LxUJubi5Vq1ZVfoilpaWxZ88ecnJy/vCWkpKiTOv9oyRYo0aNiI+PJz4+nm7duqG/yToZ3hTzvDwVP/zgy1df+SsjtKpWLeb//i+f0aMLqFq1fPwY9aaYl4Xs7GyCg4OV+4MHD2bjxo3K/cjISCXJ1a5du5uaySgxdz2JuetJzF1PYu563hZzSWyJ0lYREluZmZkkJCSg1WrZtWsXlStXLpPj/O1vgfzyiy9DhhTwySc5ZXKMO+Vtn4meQGLuencS88uXVSxYYGT2bCNpaSV9JD4+dhITTfTvX0iPHkX4+sr/y2vJee56nhxzu93Onj17SE5OZt68eZw+fZotW7Yo/TpbtmzBbrcTHR3ttEaXu3lyzD2Vt8VcElvljCS2PMO5c+fYvXs3GzZsYP369ezevVuJl4+PDxkZGUpnf2ZmJsHBwcraRv/LG2NuMsHMmb58/rk/x49rAdDr7QwZUsC4cfk0bmx1a/u8MeZl6epsrjVr1rBr1y6nmFWvXp1t27b95cWRxNz1JOauJzF3PYm563lbzCWxJUpbRUhsffrpp7z77rskJCTw448/lskxzp5V065dTSwWFQsXnqNlS/f9Rv4z3vaZ6Akk5q5XWjE/dkzDnDlGkpONZGaWrMdlNNro2dPEgAEmunQxlbu19NxBznPX85aY22w29u3bR9OmTZVtI0aMYO3atdSuXZu+ffvSr18/2rRpU2Yzrm+Wt8Tck3hbzG/lt5y2jNsihMeoXr06iYmJJCYmAo6FHDdu3Mj69espKChwmsHy2GOPsW/fPlq1akXHjh2Jj48nOjraI+rd3i6DAUaPLmDkyAJ++83I11/7sXOnDz/+6MePP/qRkGDiwQfzSUgoohwNFhE30L59e9q3b8+LL77IhQsXWLduHatXr2b16tW0atXKKak1ePBg6tWrR0JCAp06daJatWpubLkQQgghhChtKSkpAPTp06fMjvH9935YLCratjWX26SWEOLW1KtXzDPP5PH003ns3atl3jwj8+cbOXpUy7x5vsyb50tAgI3evU0MGFBIfHwROt1fv64QooRarXZKatlsNmrVqoWfnx8nT57k66+/5uuvv6ZWrVr07duX/v3706ZNGze2WAjXkBlbLiAztryLyWSiW7duHDlyxGm7Xq+nbdu29OnTh//7v//z+pjb7bB5sw/ffOPHokUGbDbHqJBGjSyMHZvP0KGFLl2HS87z0mG328nLy1NKdB45coT4+HinfVq0aEFCQgIJCQncddddXLx4UWLuInKeu57E3PUk5q7nbTGXGVuitHn7jK3jx48TGxuLWq1m+/btZTKIqagI2rWryfnzGr744iL9+5tK/Rilxds+Ez2BxNz1yjLmdjvs3Klj3jwjv/5qJDtbozwWFFRM376OJFf79uYKNShWznPX8/aYFxYWsmrVKn777TeWLl1Kfn4+AJ06dWLGjBnKfna73WUzubw95uWRt8X8Vn7LVaCvECFKh8FgYP369aSlpTFx4kQGDx5MzZo1KSoqYv369WzdutXdTXQJlQratTPzzTeXWL/+LOPG5eHvb+PgQR0vvhhITEwN3n23EtnZ8jHjSVQqlZLUAggJCWHGjBk8+uijygih3bt3M2nSJIYNG8bzzz+v7Guz2bDZyseaa0IIIYQQ4uYsXLgQcMzoL6uZ+fPnGzl/XkNwcDFJSeU3qSWEuHMqFbRqZeG11y6zefMZfvnlPGPG5FO1ajEXL2r4/ns/hg6tRkxMTV57LYBt23R4QV+sEC5nNBpJSkris88+Y+fOnUyZMoVBgwYxdOhQZZ/s7Gzat2/Pa6+9xubNm6XPRngVKUUoxG2qW7cuw4cPZ/jw4djtdrKysli3bh3h4eHKPkePHuXf//43r7zyCnXq1HFja8tWvXrFvPHGZf7+9yv89JMvU6f6cfy4lk8/rcSXX/pz112FPPRQPi1aSMkRT6PX6+nUqROdOnXi1Vdf5ezZs6xdu5bVq1ezZs0apXQnwObNmxk3bhwdO3akU6dOdOzYkXr16rmx9UIIIYQQ4q9cLUOYlJRUJq9vt8OUKX4A3H9/vpQhE6ICUauhfXsz7dubefPNXDZs0DNvnoGUFMdMrsmT/Zk82Z+6da0MGFBI//6FNG1qxc3LBAnhcYxGI71796Z3795O2xcuXMjJkyeZPHkykydPJjg4mL59+3LXXXcRHR39l2urC1GeSSlCF5BShBXP1Zj36dOHhQsXYjAYeOKJJ3j00Ue9eh2uq4qLYdEiA99848fmzSWrxMbGFvHgg/n06GFCo/mTF7gNcp67R82aNTl79ix2u52JEycyYcIEp8fr16+vJLq6dOniNBtM3Do5z11PYu56EnPX87aYSylCUdq8uRRhfn4+7dq1Iycnh82bN1OrVq1SP8bmzT4MHFgNg8HO5s1nCAoq36PFve0z0RNIzF3P3TEvKoLVq/X8+quRxYsNFBSUdK5HRloYMaKAwYMLy/3nxa1wd8wrIom5YzmVNWvWMH/+fJYsWUJeXp7yWHBwMJMnT6Z169aldjyJuet5W8ylFKEQ5cTzzz9PXFwcJpOJDz/8kMTERJYsWeIVHzR/RqOBvn1NJCdfYMGCcwwcWIBWayctTc/YsUF07lyDKVP8yMuTYVieTKVSobkmQ/m3v/2N5ORknnvuOdq1a4dWq+Xo0aNMnz6dRx55hKysLGXfc+fOUVhY6I5mCyGEEEKI3/n5+bF9+3aSk5PLJKkFJbO1Bg0q8KpOaiHE7dProWfPIiZNymHXrjN8+eVF+vQpRK+3s3evjtdeq0ybNjV56KEqrFypp7jY3S0WwjMZDAZ69uzJp59+ys6dO/nvf//L4MGDqVSpEhcuXCAsLEzZd82aNaxfvx6r1erGFgtx82TGlgvIjK2K59qY22w2fv31V958802ys7MBSExM5I033nD6AvF2p06p+fZbP6ZP9yMnx5FTDwiwcc89BYwZk0/9+nd2pSrnuev9Vczz8vLYuHEja9euZceOHcyZM0dJhP39739nzpw5REdHK2ULo6Ki0GqlQu6fkfPc9STmricxdz1vi7nM2BKlzZtnbJW1kyfVxMXVpLhYxbJlZ4mMLP+dZZ4ec08kMXe98hrznBwVyclGfv7Zl127fJTtwcHF3H13AcOHFxAa6plZrvIac28mMb+xoqIi0tPTiY6OVrb169eP7du3ExQURK9evUhKSqJjx47o9fo/eSVnEnPX87aYy4wtIcoRlUrFgAEDWLNmDU888QQ6nY4VK1Ywb948dzfNpWrVsvHyy1fYvPkM77yTQ1iYlcuX1Xz1lT/x8TUYPTqIlSv1yDqW3sPf359u3brx+uuvk5yc7DS7KysrC7PZTGpqKu+//z79+/enadOm3HfffXz55Zde8WUshBBCCFGeWa3WMr/mmjbNj+JiFR06FHlEUksI4V6BgXbuv7+AhQvPs2TJWcaOzSMw0EZ2toZPPqlEfHxNhg6tyqxZRgoKpAKMELdLr9c7JbWKi4tp0qQJVapU4eLFi/z000+MHj2ali1b8vjjj7NkyRI3tlaIPyaJLSFcxM/Pj5deeonly5czfPhwHnnkEeWxixcvVpiOfF9fO2PGFLB69Vm+++4CXbqYsNtVLF9u4N57q9KpUw2+/tqPnBy5SPVmv/zyC2vXruWdd96hT58+BAYGkp+fz4oVK/j5559RXbNa8G+//UZ6ejo2yXoKIYQQQpSaOXPmEB8fz9SpU8vk9QsL4YcfHGUIx47NL5NjCCG8V7NmVt588zLbtmXz5ZcX6drVhEplJzVVz9NPV6F165q88EJltm3TUUG6U4QoMxqNhg8//JAdO3bw888/c//991OzZk3y8vJITk5m1qxZTvtfuXLFTS0VooTUfBLCxRo2bMjEiROV+8XFxYwYMYKAgADefvttmjRp4sbWuY5aDd27F9G9exFZWRqmTfNj5kxfjhzR8sYblXnvvUoMGVLImDH5NGsmozu9jUqlIiwsjLCwMMaMGYPNZiMjI4MNGzbg6+ur7FdUVMRTTz2FyWQiMDCQuLg4OnToQFxcHI0bN0atlvEZQgghhBC3Y8GCBRw9epTc3Nwyef25c33JyVFTt66VHj1MZXIMIYT30+vhrrtM3HWXiZMn1cye7cvPP/ty9KiW6dMdyx1ERFgYPryAoUMLqVZNBkQKcbu0Wi0dO3akY8eOvPXWW2zbto2FCxcSGxur7JOZmUm3bt3o2LEjSUlJ9OrVS8qAC7eQHkEh3Cw9PZ2srCxSU1Pp2bMnr732GpcvX3Z3s1yqYcNi3njjMlu3nuG993KIjLRgMqmZPt2Pnj1rMGhQVebNM2A2u7uloqyo1WqaN2/OQw89xL333qtsv3TpEh06dMDPz4+cnBwWLlzI+PHj6d69O1FRUXzyySdubLUQQgghhGe6cuUKa9euBaBPnz6l/vp2O0yd6pitdf/9+VxTkVoIIW5b7do2nnoqj3XrzjJr1nmGDCnAYLBx4ICOt96qTHR0TcaOrcLSpXqsMj5WiDuiVqtp27Yt48ePp0ePHsr2DRs2YLVaWbVqFf/4xz9o3bo1Q4YMYfLkyZw4ccKNLRYVjSS2hHCzqKgoVq1aRVJSEsXFxUyePJlOnToxc+bMCld6zdfXzr33FrB06Tl++eU8d91ViFZrZ9MmPY89FkT79jWZMKES2dny0VVRBAcH8/3337Nnzx5+/fVXXnzxRTp37ozRaOTixYtO63adOXOGRx99lO+//57MzMwKU95TCCGEEOJWLVu2DLPZTMOGDYmIiCj119+wwYe9e3X4+tq4556CUn99IUTFplZDhw5mPvkkh+3bHQNkW7c2Y7WqWLTIyP33V6Vt25qMHx/A5s0+spa3EKVo9OjRrFmzhpdeeolWrVpht9tJS0vjtddeo127dqxYscLdTRQVhMouPX9l7ty5c1gsFrcdX6VSERISwunTp6Wj10VuN+arVq1i/PjxHDp0CIA2bdrw3XffERQUVFZNLfeysx0zt374wZezZx1JDK3WTlKSifvvz6d9ezMqlZzn7uDOmJvNZnbs2EHt2rWpXbs2AHPnzuWJJ55Q9qlWrRrt27cnLi6O2NhYryhdKOe560nMXU9i7nreFnOdTiflUESpcufvubL6+3zwwQdJSUnhb3/7Gy+++GKpve5VDzxQhcWLjYwZk88775RNqcOy4m2fiZ5AYu563hrz/fu1/PyzL7NnG7lwoWQQZK1aVvr3NzFgQCEtWlhQuWFJb2+NeXkmMXeNkydPsnDhQhYuXMiePXs4c+YMOTk52O12vv76a44fP07Pnj2JjY1Fp9O5u7lex9vO81v5LSeJLReQxFbFcycxN5vNTJ48mY8++ojIyEiSk5M9vjO+NJjNsHChge++82PjRr2yPTLSwpgx+QwZYiI8PFjOcxcqb58tmZmZ/Prrr6SmprJt2zZMJue1HL744gv69+8PQGFhIT4+Pk4zvjxBeYt5RSAxdz2Juet5W8wlsSVKm7cltgoLC2nevDkmk4lFixbRokWLUnndq44d09ChQw3sdhWrV58lPNyz6oF522eiJ5CYu563x9xigbVr9cybZ2TRIgN5eSV9KqGhVgYMKGTAgEIaN3bd55O3x7w8kpi7XkFBAeHh4UrMu3btyoEDBwAICAggMTGRnj170qVLFypXruzm1noHbzvPb+W3nLaM2yKEuEU+Pj489thjDBo0iIKCAiWplZ+fz7Jly+jfvz8qdwwvcjMfHxgwwMSAASYyMrR8+60fv/xiZO9eHS++GMi//mVjzBgYMEBL06buSyQL9wkPD+fZZ58FoKioiJ07d5KamkpaWhpbtmyhXbt2yr6TJ0/m888/JyYmhri4ONq3b0+LFi1k9JAQQgghvN7KlSsxmUzUrVuX5s2bl/rr//e/ftjtKrp0MXlcUksI4R10OkhMLCIxsQiTCVauNDBvnpGlS/UcOaLlP/+pxH/+U4nGjS30719I//6FhIUVu7vZQng8Pz8/5b/tdjsvvfQSixcvZunSpVy4cIHk5GSSk5PRarX069ePzz77zI2tFZ5OEltClFMhISFO9ydOnMiXX37JDz/8wL///W/Cw8Pd1DL3a9rUyvvv5/LKK5eZOdOXb7/148gRLZMmwaRJ1WnZ0sw99xQwcGAhAQGeP1pB3Dq9Xk+7du1o164dTz31FFarFa225Ctv+/btXL58meXLl7N8+XIAfH19iYmJITY2lrFjxzpdkAkhhBBCeIvQ0FBGjx5NSEhIqQ+Yy89XMWOGLwBjx+aX6msLIcTtMBggKclEUpKJ/HwVy5Y5ZnKtXGlg/34dH3yg44MPAmjZ0syAAYXcdZeJ2rUlySXEnVKpVPTs2ZOePXtSXFzMtm3bWLp0KUuWLOHgwYPo9SXVmGw2G5MmTSIhIYGWLVtWyAH94tZJKUIXkFKEFU9ZxPyLL77gww8/xGQyodPpeOSRR3jqqacwGo2l8vqezGZzlBlITq7K3Ll2LBbHF6DBYKNfPxP33FOgrMUlSo8nf7ZYrVYyMjKUGV2bNm0iJycHAKPRyN69e5XZW0uWLMFgMBAdHe32ZJcnx9xTScxdT2Luet4WcylFKEqbt5UiLEvffuvLK68EEhZmZfXqs3hiRXVPi7k3kJi7nsQccnNVLFpk4Ndfjaxdq6e4uKTDoG1bR5KrX79CatSwlcrxJOauJzF3vZuN+aFDh7Db7TRs2BCAnTt30qdPHwCCg4Pp0aMHPXv2JD4+3ikBJq7nbee5rLFVzkhiq+Ipq5gfO3aM8ePHs2zZMgDq1q3LW2+9RY8ePUrtGJ7qaszT07OZPdvIjBm+7N9fUlYuLMzKiBEFDBtWUGoXphWdN3222Gw29u3bR1paGrm5uTzzzDPKYwkJCWRmZqLRaGjevDnt2rWjffv2tGvXjqpVq7q0nd4Uc08hMXc9ibnreVvMJbElSpsktm6OzQZdulQnK0vH22/n8H//V+DuJt0WT4q5t5CYu57E3NmFC2oWLHAkudLSfLDbHUkutdpOXJwjydWnTyFVqtx+rCTmricxd73bjXl6ejr/+c9/WLVqFQUFJdcPvr6+dOrUiSeeeII2bdqURZM9nred55LYKmcksVXxlGXM7XY7ixcvZvz48Zw6dQqAf/7znzz88MOlehxP878xt9th2zYdM2b4Mm+ekfx8x3BRjcZO9+6OWVxduxahlYKst60ifLZYrVaeffZZNm7cyIkTJ657PDExke+//95l7akIMS9vJOauJzF3PW+LuSS2RGnzpsTWvHnzCAkJITo6Go1GUwotLLFqlZ5Ro6pSqZKNLVvO4O/vmZ8n3vaZ6Akk5q4nMb+x7Gw1v/1mZN48I9u2+SjbdTo7CQlFDBxYSM+eJvz8bi1uEnPXk5i73p3G3GQysWHDBpYsWcLSpUvJzs4GYPbs2cTFxQGQmZlJbm4urVq1KvVrGU/kbef5rfyWky5dITyMSqWid+/edO7cmY8++ogff/yR/v37u7tZ5Y5KBdHRFqKjc3n99cvMn2/gxx/92LrVh8WLjSxebCQ4uJhhwwoYMaKA0FCpoS2up9Vq+eSTTwA4efIkmzZtYuPGjWzatIn9+/dTs2ZNZV+r1Uq3bt1o1qyZMqurcePGqD2xBo8QQgjhRkuWLGHJkiWcO3cOgDp16jB06FBat24NgNlsZtq0aWzYsAGLxUJUVBTjxo0jMDBQeY3z58/zzTffsGfPHgwGAwkJCYwcObJCd4BYrVZeeeUVLl26xMyZM4mPjy/V158yxVGyefjwAo9NagkhRHCwjXHj8hk3Lp9jxzTMn28kOdlIRoaOZcsMLFtmwGCw0bOnI8nVpYsJqZQmROkwGAwkJiaSmJjIv//9b/bs2cPKlStp27atss+3337Lf//7X4KCgkhMTKRbt24kJCRQuXJlN7ZcuIPM2HIBmbFV8bgy5leuXKFSpUrK/XfffZcuXboQGxtbpsctb2425gcOaPnpJ19mzzZy8WJJx0aHDkXcc08BSUmFyLJlN6eif7ZcvHgRk8lErVq1AOea0FcFBgbStm1b2rdvT2JiIk2aNLmjY1b0mLuDxNz1JOau520xlxlbnm/Lli2o1WpCQkKw2+2sXr2aX3/9lffff5+6devyzTffsG3bNh5//HF8fX2ZMmUKarWat956C3CUGH7++ecJDAzkvvvu49KlS0yaNIlu3boxcuTIW26Pt8zYWrduHcOHD6dKlSrs2LEDbSmWLsjM1JCQUBOVys66dWc9etCYt30megKJuetJzG/dwYNakpMdSa4jR0o+PytXtpGUVMiAAYXEx5u50fgJibnrScxdzxUxf+211/j555+5cuWKsk2r1RITE0P37t0ZO3assmZ6ReBt57nM2BKiArk2qbVmzRo+/fRTPv30U4YNG8b48eNdvgZQeRcRYeW11y7z0kuXWbLEwIwZvqxapWfDBsetcuXKDBpUyLBhBURFWVCp/vo1RcUUFBTkdD8iIoKff/5ZmdW1detWcnJyWLZsGcuWLcNsNiuJrUuXLrF161batm3rNLpcCCGEEDiNygW45557WLJkCQcPHqRq1aqsWLGCp556iubNmwPw2GOP8cwzz3DgwAEiIiLYuXMnJ06cYPz48QQGBhIaGsrw4cOZPn06d9999w0TOhaLxSmBpVKpMP4+4knlpovCq8ctjeOnpKQA0KtXr1Lv8Pn2W38AuncvokEDG+C5F9GlGXNxcyTmricxv3UREcW88EIezz+fx65dOpKTHWtynT6tYcYMP2bM8KN69WLuusvEwIGFREc79ydIzF1PYu56roj5m2++yfjx49m8eTNLly5l+fLlZGZmkpqayvHjx3nkkUeU42dkZBAWFobBYCiz9rhbRT7PJbElhBdp3rw5o0aNYvr06cyaNYulS5fy4osvMmrUKCmH9j98fKBfPxP9+pk4eVLDzz8bmTHDl5MntXz7rR/ffutHeLiFoUMLGTy4kNq1PXfUqXANo9FIx44d6dixI+DoHNuzZw8bN25k8+bNTuV+1q9fr6yL17hxY2JiYoiJiaFdu3bUrVu3Ql6QCCGEEH/EZrORmppKUVERERERHDp0iOLiYlq0aKHsU7t2bapVq6Yktg4cOEC9evWcBo+0atWKyZMnc/z4cRo0aPCHx5o7dy6zZ89W7jdo0ID33nuvXMwADA4OvqPn2+12li5dCsB9991HSEhIaTQLgNxcmDXL8d//+IehVF/bne405uLWScxdT2J+e2rVgt694fPPYe1a+OknmD0bzp3TMHWqH1On+hEaCiNGwD33QIsWKEkuibnrScxdzxUxr1evHkOGDAHg0KFDLFiwAI1Go1TVsVqtDB06FLPZTI8ePUhKSqJXr16EhoaWedvcoSKe51KK0AWkFGHF4+6Yb926lRdffJGMjAwAWrduzbvvvquMavVGpRHz4mJYt07PzJlGFi0yYjJdHfVgJy7OzNChBfTpY6JSJfk7Avef555s3rx5TJgwgaysrOseCw4O5vPPP6d9+/bXPSYxdz2JuetJzF3P22IupQi9w7Fjx3jllVewWCwYDAaefPJJ2rRpw7p16/j888/58ccfnfZ/6aWXaNasGffeey9fffUV58+f55VXXlEeLyoq4r777uOll15S1ur6XzeasXXu3DmsVmvZvNG/oFKpCA4OJjs7+47+Ps+dO0dUVBQqlYrMzExlJlpp+PprP15/PYDGjS2sWHHe4yselFbMxc2TmLuexLz0WSywZo2e5GQDixYZyM8vGVwcEWFh4EATDz5YCX9/ibmryHnueuUp5ocPH2bIkCFkZ2c7bW/YsCFdunRhwIAB11UJ8ETlKealQavVSilCISqy6OhoFi5cyLfffssHH3zA9u3bGTt2LOvXry/VWvreRqOBhIQiEhKKuHIll5QUA7Nm+ZKaWlKq8OWXbfTubWLo0EI6dSpCwilux4ABAxgwYAAXLlxg8+bNbN68mU2bNrF7926ys7OpXbu2su+3337LwoULadeuHTExMfTt29eNLRdCCCFco1atWnzwwQcUFBSQlpbGZ599xhtvvFGmx9TpdDcs0efujgK73X5Hbbg6mKZu3boYDIZSez/FxfDf//oC8MAD+YAdL+hTAe485uLWScxdT2JeerRaSEw0kZhoorBQxbJleubNM7J8uYEDB3S8/76O99+Hpk2r0ru3id69C2na1OrxgwE8gZznrlceYh4aGsqWLVvYs2cPy5cvZ/Xq1WzZsoWsrCyysrIIDAwkOjoagPz8fE6dOkV4eLjHVtApDzF3NemSFcJLabVaxo0bR9++fXnzzTe56667lKRWcXExxcXF+Pj4uLmV5VelSnaGDy9k+PBCTpzQ8MsvRubMMZKZqSM52ZfkZF9q1Chm4MBChg4toFkz94ziFZ6tatWq9O7dm969ewNQWFhIenq6U2Jr9erVrFu3jnXr1gGgVqtp0qQJMTExtG3blj59+nh1vWghhBAVk1arVUqqhIWFkZWVRUpKCh06dMBqtZKfn4+fn5+yf25urlJ6MDAwkMzMTKfXy83NVR6riK4mtsLCwkr1dZcv13P0qJbAQBtDhhSW6msLIYSnMhrt3HWXibvuMnH5soqFCw3Mm+fLunV6MjJ0ZGTomDixEvXrW+nVy0RSkonoaDMajbtbLoR3UalUNG/enObNm/PUU09x+fJl1q1bx6pVq+jZs6ey36pVq3jooYeoVasWXbt2pUuXLnTs2JGAgAA3tl78lQqX2Fq0aBHz588nJyeH+vXr88ADDxAeHv6Xz1u/fj3/+c9/aNu2LS+88IILWipE6QgJCeGLL75w2vbTTz/xxRdf8Oqrr9K7d2+PHY3gKnXqFPPkk3n87W957NypY84cI8nJRs6e1fD11/58/bU/kZEWhg4tYODAQoKDbe5usvBQRqORmJgYp20vvfQSXbp0YcuWLWzatIkTJ06QkZFBRkYGM2bMoF+/fsq+a9aswdfXlxYtWqDX613dfCGEEKLM2Gw2LBYLYWFhaDQadu/eTWxsLACnTp3i/PnzREREABAREcEvv/xCbm4ulStXBmDXrl0YjUbq1KnjtvfgToMGDaJly5al/rqTJ/sDMGpUPkZjxRolLIQQNyMgwDFodsQIEz4+IfzwQw4LF+pZvdrA0aNapU+hWrVievUy0bu3ifj4IuTnnBClLyAggD59+tCnTx+n7SdPnkSv13Pq1CmmT5/O9OnT0Wg0REdH06VLF0aOHCmlzsuhCpXY2rBhA9OmTePBBx+kUaNGLFiwgH/96198/PHHyg+eP3L27Fm+//57IiMjXdhaIcqG3W7nu+++48iRI4wbN4727dvz2muvERUV5e6mlXsqFbRqZaFVKwvjx19m1So9s2f7snSpgb17dbz1VmX+9a8AOnUqYujQQnr3NuHrKz/wxZ2JiIggIiKCMWPGoFKpsNlspKSksGXLFgoKCpxmXr755pvs3bsXHx8fWrZsSdu2bWnbti3R0dHUqFHDje9CCCGEuHk//vgjrVq1olq1aphMJtatW0dGRgavvPIKvr6+JCYmMm3aNPz9/fH19WXq1KnK9yVAVFQUderUYdKkSYwaNYqcnBxmzJhBr169blhq0NsZjcZSX2933z4t69fr0WjsjBlTUKqvLYQQ3qhqVbj77kKGDSugoEDFqlV6Fi40sHy5gfPnNUyf7sf06X74+9vo1s2R5EpMLMLfX/oVhChLDz30EPfddx9paWmsXLmSVatWkZWVxaZNm9i0aRODBw9W9s3MzKRSpUrUrFnTjS0WUMESW7/99hvdunWja9euADz44INs27aNlStXMnDgwD98js1m49NPP+Xuu+9m79695Ofnu7DFQpQ+lUrF3Llz+fzzz/nqq6/YuHEjffr0YfDgwbz44otOJdDEjfn4QM+eRfTsWUROjorffnOUKty0yTHyavVqA35+jvW4BgwopHPnIipoP4ooZbVr16Zfv37XrbVVXFxMaGgoZ8+e5cKFC2zZsoUtW7Yoj8fHxzNz5kzlvt1ul9maQgghyqXc3Fw+++wzLl26hK+vL/Xr1+eVV15RZhxdHewxYcIErFYrUVFRjBs3Tnm+Wq3mxRdfZPLkybz66qvo9XoSEhIYPny4u96SV5o61VEKsndvE7VrF7u5NUII4Vl8fe306WOiTx8TFgukpjqSXIsXGzhzRsO8eb7Mm+eLXm+nY8cievc20bOniWrVpEKMEGXBaDTStWtXJW9w7NgxVq1axd69e6lbt66y31tvvcWyZcto0qQJnTp1onPnzsTGxuLr6+uupldYKnsFWVXMarVy77338uyzz9KuXTtl+6RJkygoKLhhecGZM2dy9OhRnn/+eT777DPy8/NvuK/FYsFisSj3VSoVRqORc+fOYbW6b/0dlUpFcHAw2dnZFW4ROXfxlJifPHmS9957j9mzZwNgMBh45513GDFihJtbduvKS8yPHNEwZ44jyXXkSMnYgSpVbPTp40hyxcV5R+3s8hLziuRmYm632zly5IiS2NqyZQv79u1jyJAhfPLJJ4AjCdauXTsaNmxIdHQ0bdq0oU2bNlStWtWVb8cjyHnuehJz1/O2mGu1WikVIkrVuXPnnH7nuZJKpSIkJITTp0/f9t+nxWJh/PjxhIWFMWbMmFIpV3zxooqYmJqYTGp++eU87dub7/g1y4vSiLm4NRJz15OYu97Nxtxmg+3bdSxaZGDhQiOHD5f0K6jVdmJizPTu7ViXq25dGVTwZ+Q8dz1vj7ndbufuu+8mNTXV6f3pdDratm1L9+7deeSRR1zaJm+LuU6nu+nfchVmxtbly5ex2WzXLRYcGBjIqVOn/vA5+/btY8WKFbz//vs3dYy5c+cqCQKABg0a8N5775WbH9ZXF18WrlPeYx4SEsKsWbPYunUrzz33HKtXr6ZTp06EhIS4u2m3zd0xDwmBuDj44ANITYUZM2DmTDhzRs306b5Mn+5LzZowbBiMGOHYV612a5PvmLtjXhH9Vcxr1apFhw4dlPu5ublcuXJF+dvevXs3p0+f5vTp06xbt07ZLzw8nLi4OIYPH37djLCKTs5z15OYu57EXAjvdOzYMb7//nsMBoPTzLY78dNPfphMapo3N9OunfcktYQQwt3UaoiOthAdbeHll69w4IBWmcm1a5cPGzfq2bhRzxtvVKZFCzNJSSb69jURHu6+AfVCVBQqlYpZs2Zx8eJF1q1bx9q1a1mzZg0nTpwgNTUVwCmx9euvv9KyZUtCQ0Pd1GLvVmESW7eqsLCQTz/9lIcffpiAgICbes6gQYPo16+fcv9qiSeZsVXxeFrMa9WqxY8//siuXbuoXbs2p0+fBmDKlCk0bNiQLl26uLeBN6E8xrxBA3jpJXjhBUhN9WHePCMpKQbOnFEzaRJMmgS1ahXTv38hAwaYaNnSgidVhiuPMfd2dxJzjUaj/G1XqVKFpUuXsn37drZs2cK2bdvIzMxUbtWrV6dNmzYAnD9/nq+++oo2bdpUyLW65Dx3PYm563lbzGXGlhDODh06BEBYWBjqUhhRZbXCt986yu2MHZvvUdevQgjhSVQqaNzYSuPGeTz9dB4nT2p+n8llYONGH3bvdtzefz+ARo0sJCU5Shs2b+5ZfQtCeJqgoCD69+9P//79sdvtHD58mDVr1jj9Brlw4QKPPvooAPXq1VPKFsbHx1OlShV3Nd2rVJjEVkBAAGq1mpycHKftOTk5183iAjhz5gznzp3jvffeU7Zd/aE/YsQIPv744+tGtep0uhsuRlweOgnsdnu5aEdF4mkxb9mypdLeo0eP8tZbb2E2m+natSvjx4+ncePGbm7hXyuPMVerIT6+iPj4Iv71L1i7Vs+8eUYWLTJw6pSGL7/058sv/QkNtf6e5CqkSRPPGW1VHmPu7e405mq1mqZNm9K0aVNGjRoFOL4Pt2/fzrZt2+jevbvy+lu2bOGzzz5Tnlu3bl0lydWmTRuaNWuGj4/Pnb0hDyDnuetJzF1PYi6Ed8rKygIcia3SsGCBgVOntFSt6higJYQQwjVq1y5m7Nh8xo7N58IFNUuWGEhJMbB2rZ6DB3UcPKjjk08qUbeuVUlyRUebPb5KjBDlmUqlIiws7LrrrAsXLhAbG8uWLVs4duwY06dPZ/r06ahUKqKionjkkUe466673NRq71BhEltarZawsDDS09OVNbZsNhvp6en07t37uv1r1arFhx9+6LRtxowZmEwm7r//fqpVq+aSdgvhLpUrV2bMmDF8++23rFy5ktWrV3PPPffw/PPPyyjoO6DTQWJiEYmJRZhMsHKlgV9/NbJkiZ4jR7R88kklPvmkEo0bW7jrrkL69y+kYUOpmy3KXmBgoNNCqVcFBwczatQotm7dyv79+zl+/DjHjx9n3rx5AHz88ccMGzYMcFy45eXlUa9ePWXWshBCCCHc6+qMrYYNG97xa9ls8OmnlQC4//58DIY7fkkhhBC3oWpVG/fcU8A99xRw+bKK5csdSa6VK/UcP67l66/9+fprf2rUKKZXLxN9+jjW+77BeHwhRCmLiIhgzpw55Ofnk5qaypo1a1i7di0HDhxgx44dFBQUKPtmZWUxf/584uPjadWq1Q0nzghnFSaxBdCvXz8+++wzwsLCCA8PJyUlhaKiIqXM2qRJkwgKCmLkyJH4+PhQr149p+f7+fkBXLddCG8UGBjI66+/zpgxY3jnnXdISUlh+vTpJCcn88QTT/Dggw9iNBrd3UyPZjBAUpJj0df8fBXLljlmcq1caWD/fh379+v48MMAWrQw07+/iX79CqlXT5JcwrWioqKIiooC4MqVK8qsrq1bt7Jt2zaio6OVfWfPns2bb75J1apVadWqFa1bt6Z169a0atXqD2dHCyGEEKLsXVuK8E4tWWJg714d/v42Hngg/45fTwghxJ0LCLAzaFAhgwYVUlioYtUqPSkpBpYtM3D2rIbvv/fj++/9CAy00aOHI8nVuXORDE4QwgX8/Pzo3r073bt3B+D06dOsXbvWaVDx8uXL+eCDD/jggw/w9fWlffv2xMfHEx8fT7NmzdBoNO5qfrlWoRJbHTp04PLly8ycOZOcnBxCQ0N5+eWXlc628+fPywhzIf5HgwYN+Oabb9i4cSNvvPEGO3fu5NNPP2XkyJGS2CpFfn52BgwwMWCAidxcFYsWOWZyrV2rV+pm/+tfAbRsaaZvXxN9+xbSoIEkuYRrVapUic6dO9O5c2fg+jK7ly5dwsfHhwsXLrB8+XKWL1+uPNagQQO+//57GjRo4NI2CyGEEBVdac3Ystvh44/9Afi//8snMFBKlwohRHljNNqVAbRmM6xfr2fhQgOLFhm4cEHDrFm+zJrli5+fjcTEIpKSCklMLKJSJflMF8IVQkJCuPvuu522hYeH069fPzZs2MDFixdZuXIlK1euBBwVtWbPnk3Tpk3d0dxyTWWXQvpl7ty5c1gsFrcdX6VSERISwunTp2XdBBfx1pjbbDaSk5O5cOECDz74oLJ92bJldOnSBa3Wfblyb435hQtqUlIMzJtnZONGH2y2kuR706YW+vYtpF8/E+Hhrl+Ty1tjXp55QsyLiorIyMhg+/btyu3w4cNotVr27dunJMTfeOMNNm/erMzoat26NQ0aNCh3A0w8IebeRmLuet4Wc51OJ2WTRaly5++5O/37zM/PJyIiAoCMjAwqV658221ZtkzPmDFV8fW1sXHjWYKCbLf9WuWZt30megKJuetJzF3P3TEvLobNm31ISTGQkmLk9OmSGSA6nZ24uCJ69jTRo0cRdep4xyBad8e8IpKY3xmbzca+fftYv34969evJy0tTeljudqX8tFHH3HgwAFlRleDBg2oVauW18T8Vn7LSWLLBSSxVfFUpJhv2LCBYcOG0aBBA5577jn69+/vlimyFSHm58+rWbTIwIIFBtav11NcXJIAaNzYoszkatzYiityAxUh5uWNp8b80qVLHDx4UFnjEiApKYldu3Y57RcYGKiUPvz73/9eLqbbe2rMPZnE3PW8LeaS2BKlzZMTW+AoJXzkyBFatGhx2+2w2+Guu6qxfbsPjz6ax6uvXr7t1yrvvO0z0RNIzF1PYu565Snmdjvs3Klj4UJHkuvQIedBypGRlt+TXCaioiyo1W5q6B0qTzGvKCTmpctqtXL48GEaNWqkbOvRowcZGRnK/ZCQEHr06EFUVBSxsbHUr1+/3A0YvhWS2CpnJLFV8VSkmM+fP5+XX36ZixcvAtC4cWP+/ve/k5SU5NIP0ooUc4CLF1UsWWJgwQJHuUKLpSTWDRuWJLmaNSu7JFdFi3l54E0xP3r0qLJe144dO0hPT6eoqAiAOnXqsHHjRmXfiRMnotFoaNWqFS1btqRKlSoua6c3xdxTSMxdz9tiLoktUdo8PbFVGtas0XPPPVUxGGykpZ2lenXvnK0F5SfmFYnE3PUk5q5XnmOemalh2TIDS5ca2LTJuVJMjRrF9Ohhont3E506mTEay1fb/0x5jrm3kpiXvU2bNikzurZu3YrZbFYeCwkJYfPmzUp/7NmzZ6levbpHJboksVXOSGKr4qloMc/Ly2Pq1Kl8+eWX5ObmAtCiRQteeOEFunbt6pIP0IoW82vl5qpYutQxk2vVKgNmc0m8Q0Ot9O1bSN++Jlq2tJRqkqsix9xdvDnmZrOZffv2sWPHDmw2G/fffz/gWMerefPm5OTkKPuGhoYqM7tiYmJo06ZNmbXLm2NeXknMXc/bYi6JLVHaKnpiy26HwYOrsmmTnnHj8njjDe+drQXlI+YVjcTc9STmrucpMb94UcXKlQaWLDGwapWevLyS6VoGg41Oncz07OlIdNWoUb4HOXhKzL2JxNy1CgsL2bJlC7t27WLp0qU0bNiQCRMmAI6yhi1atECv1xMbG0tsbCxxcXGEh4eX60SXJLbKGUlsVTwVNea5ubl89dVXTJ48mfz8fOrXr8/q1avR6XRlfuyKGvP/deWKiuXLHUmuFSsMmEwlX1Z16ljp08dEnz6FREffeTkBibnrVcSYm81m/vvf/7Jz50527tzJkSNHnB6Pj49n5syZyv1Zs2YRERFBZGQkPj4+d3z8ihhzd5OYu563xVwSW6K0eXJi69NPPyU7O5sRI0bcdinCDRt8GDasGnq9nQ0bzhAcXL47Mu+Ut30megKJuetJzF3PE2NuNkNamp4lS/QsWWLg5EnnkoWtW5vp0cNEz54mmjRxzZIIt8ITY+7pJOaud23MbTabkrQ6cuQIXbt2dZrRBVCtWjXat2/PoEGDSEpKckeT/9St/JbT/vUuQghxcypXrswLL7zA2LFj+fzzz2nZsqWS1DKbzaSnp5fpzAoBlSrZGTiwkIEDC8nPV7FihZ4FC4wsW6bnxAktX3/tz9df+1O9ejE9ezouQDt2LMJgcHfLhfhjPj4+PPzww8r9S5cusWvXLnbs2MHOnTuJiYlRHrt48SJPP/208rzIyEhatGhBVFQULVu2pHHjxi5JtAshhBDlxW+//UZ6ejoJCQm3ndj66KNKAIwYUeD1SS0hhBAlfHygc+ciOncu4q23LrN3r5YlSwwsW2Zg+3Yf5fb++wHUqWP9fV2uImJjiyiFMYZCiFt07Uys0NBQMjIy2L59O2lpaaSmprJt2zbOnz/PggULCAsLUxJbubm5zJ49m9jYWCIjI1F7yMJ6MmPLBWTGVsUjMb/e999/z4svvki3bt144YUXaN68eam+vsT8zxUWqli1Ss+CBY6L0CtXSr6kfH1tdOlSRO/eJrp1MxEYeHPxk5i7nsT8zx05coSXX36ZnTt3OpUuvOq+++7j3XffBRzJ9gMHDvxlskti7noSc9fztpjLjC1R2jx1xpbdbiciIoKCggJWr15NeHj4LR9/82YfBg6shk5nZ/36s9SuXXzLr+FpvO0z0RNIzF1PYu563hbzM2fUyrpca9fqnarF+PvbSEgoomdPE4mJJoKC3PN+vS3mnkBi7nq3EvOioiJ27NhBamoqXbt2JSoqCoAlS5bwf//3f+j1ejIyMjC4cfS7zNgSQpQ7p06dQqPRsHz5cpYvX06fPn34+9//TuPGjd3dtArBaLSTlGQiKcmE2QypqXoWLzaweLGB7GwNKSlGUlKMaDR2YmPN9OplolcvE3XqeH/nhfAeoaGh/Pjjj9jtdo4dO8bOnTvZvXu38m/Lli2Vfffs2UO/fv3Q6/U0bdqUli1bKreIiAi0WrlEEkII4dmys7MpKChAo9FQr16923qNjz/2B+DuuwsqRFJLCCHEzalZ08aoUQWMGlVAYaGKtWt9WLrUMZD27FkNCxYYWbDAiFptp21bMz16OBJdDRuWv5KFQlQUer2e9u3b0759e6ftvr6+dO3aFY1G49ak1q2SGVsuIDO2Kh6J+R87dOgQH330EXPnzsVut6NSqRg0aBBPPfXUbY0gvZbE/PbY7bBrl05Jcu3b5zxzpVkzy+9JrkKaNXO+AJWYu57E/PbZ7XasVqsyO2vx4sU8/fTTXL58+bp9DQYD7733HkOHDkWlUhEUFMTZs2fRaDSubnaFJOe563lbzGXGlihtnjpja/369dx99900aNCAdevW3fKxt2/X0a9fdTQaO+vWnaVevYqR2PK2z0RPIDF3PYm561WUmNtssHOnjqVLHbO5MjKc+xhCQ6306GGiRw8T7dqZKctK8RUl5uWJxNz1vC3mMmNLCFEuhYWF8emnn/LEE0/w4YcfkpKSwi+//EJOTg7ff/+9u5tXIalUEBVlISrKwgsvXOHIEQ2LFxtYssTApk0+7NmjY88eHRMnVqJOHSu9ejnW5Wrf3iw1s4VHUalUTiUHe/XqxZ49ezhy5Igyq2vXrl2kp6dz5coVQkJClH3nzJnD2LFjiYyMpHnz5rRo0YIWLVrQuHFj9Hq9O96OEEII8ZeysrIAaNiw4W09/+OPHWtrDRlSWGGSWkIIIe6MWg2tW1to3drRx3DypIalS/UsXWpgwwY9R45o+eYbf775xp/KlW107epYl6tLl5tfFkEIIUASW0IIN2jcuDHffPMNu3fvZsKECfztb39THjt//jy5ubm3/QNc3JnQ0GIefjifhx/O58IFNcuWOUoWrl6t58QJLVOm+DNlij+BgTa6dTNx993QsqWKgAC5ABWeR61WExYWRlhYGAMGDADAZrNx+PBhatWqpey3e/duTCYT27dvZ/v27cp2rVZL48aNmThxorJu4NXZqEIIIYS7XU1shYWF3fJz09O1LFtmQK2287e/XSntpgkhhKggatcu5v77C7j//gLy8lSsWaP/vWShnosXNSQn+5Kc7ItGY6ddO7MymyssTAZUCCH+nCS2hBBu06JFC7799lunbZMmTWLKlCkMHjyYp5566rZ+iIvSUbWqjeHDCxk+vJDCQscF6OLFBpYudVyAzpnjy5w5oNXWJCbGTPfuJrp1KyI8XGpmC8+lVquvS6z/61//4q677lJmdO3evZtdu3aRk5PDnj17qFKlirLvJ598QnJystPMrmbNmhEQEODqtyKEEKKCO3v2LHB7M7auztYaOLBQOheFEEKUCn9/O336mOjTx0RxMWzbpmPZMkfJwv37daSm6klN1fPmm5UJC7PStauJLl2KiIszYzTKYFohhDNZY8sFZI2tikdifnvsdjuPPPIIv/32GwAajUZJcDVo0OBPnysxd53iYtiyxYfFiw2sWuXP/v3Oj9erZ6VbNxPduxcRG1uEB607We7Jee56N4q53W7n1KlTpKen07NnT2WW1gMPPMDixYuve53Q0FBatGjBv//9b6dEmLienOeu520xlzW2RGnz1DW2AC5duoRWq6VSpUo3/Zy9e7V0714DlcrOypXnaNTIesvH9WTe9pnoCSTmricxdz2J+Z87elSjrMuVluaD1VoyWlavtxMbW0SXLkV07Xrzg2kl5q4nMXc9b4v5rfyWk8SWC0hiq+KRmN+ZnTt3MmHCBJYvXw44ElxDhgzhySefvGGCS2Lueldjnpp6lmXL9Cxf7hhdZTaXXGEajTY6dSqiW7ciunUzERJic2OLPZ+c5653qzE/e/Ysu3fvZvfu3aSnp7Nr1y5OnjwJgMFgYP/+/Wi1jgnzr7/+OllZWTRr1ozmzZvTrFkz6tevj1qtLtP3VN7Jee563hZzSWyJ0ubJia3b8cgjVZg/30i/foV89dUllxyzPPG2z0RPIDF3PYm560nMb97lyyrWr9ezcqWeVav0nDzpXHCsdm2rkuTq2LGISpX+OJ4Sc9eTmLuet8X8Vn7LSSlCIUS5ExUVxbRp09ixYwcTJkxgxYoVzJw5k0qVKvHmm2+6u3nif4SGFjN2bD5jx+aTn69i3To9y5bpWbHCQHa2hiVLjCxZYgSgWTML3bqZ6NbNROvWFjQaNzdeiFJWo0YNunXrRrdu3ZRtFy9eJD09nezsbCWpBbB27Vr27dvHihUrlG3+/v40bdqUli1b8vrrr8t6XUIIIVzq4EEtv/3mmG7/1FOytpYQQgjXCwiwk5RkIinJhN0OmZlaJcmVluZIdE2frmX6dD+0Wjtt25p/T3SZaNrUSgUfJyhEhSGJLSFEudWqVSu+//57tm/fzqeffsrjjz+uPJaZmYlWqyU0NNR9DRTX8fOz06uXiV69TNjtuezZ41h4fPlyA9u369izx3H75JNKBAUV06VLEd27O+pmV67s+SNLhPgjQUFBdO7c+brtH3zwAbt27WLPnj3s2bOHffv2kZeXx6ZNm7h06ZJTUuuZZ54BUGZ2NW3aVNbtEkIIcUNr167lq6++onPnzjz00EM3/bxPPvHHblfRu3chTZtWrBKEQgghyh+VCho1stKokZWHHsqnsFBFaqoPq1bpWbnSwKFDWtLSHAmvd98NoHr1YhISikhMNNG5s5mQEHe/AyFEWZHElhCi3GvdujVTp0512vb666+zZs0ahg0bxpNPPikJrnJIpYLmza00b57H00/nceGCmhUr9CxfbmD1aj0XL2r45RdffvnFF43GTuvWFhISTCQkFBEVZUEr31DCy7Vp04Y2bdoo9y0WC1lZWaSnpzsltYqLi5k/fz6FhYXMnDlT2V63bl2aNm1KfHw8Y8eOdWnbhRBClG+7d+9m5cqVVK5c+aafc+iQhuRkxyz7p57KK6umCSGEELfNaLSTmFhEYmIRcJmjRzWsWuWYzbVunZ5z5zTMnu3L7Nm+qFR2YmKgQwd/Oncuok0bMzqdu9+BEKK0SLehEMLjmEwmwNHZO2PGDGbPns2wYcN4++23MRqNbm6duJGqVW0MG1bIsGGFWCywZYsPy5cbWL5cz4EDOrZs8WHLFh8mTIDKlW3ExzsWh01IKKJOnWJ3N1+IMqfT6WjSpAlNmjRx2m6z2Zg0aRJ79uwhPT2d9PR0Tp06xfHjxzl+/Dg2m01JbNntdkaPHq0kvZo1a0aTJk3ks1EIISqYQ4cOAdCwYcObfs6kSZWw2VR062aiZUv3rREthBBC3Kz69YsZM6aAMWMKKCpy9DOsXGlg1So9e/fq2LQJNm2qxMcfV8LPz0aHDmYSEkx06lREw4bFSOV3ITyXJLaEEB7HYDDwww8/sHXrViZOnMiqVav46aef+Pnnn+nXrx9PPvkkkZGR7m6m+BM6HcTFmYmLM/Pqq3DihIbVq/WsXu0YZZWbqyYlxUhKiqMzPizMSpcuJjp3LqJDBzN+flK2UFQcOp2O3r1707t3b2XbpUuX2Lt3LxkZGdSuXVvZnp2d7bRmF4BaraZBgwY0bdqUpKQkBgwY4LK2CyGEcI+srCzg5hNbx45pmDPHcd319NOytpYQQgjPo9dDfLyZ+HhHP0N2toadO2vy66+FrFnjw8WLGpYuNbB0qWMtydq1rXTuXETnzkV07FhEUJD0MwjhSSSxJYTwWNHR0UyfPp0tW7bw8ccfs3LlSn799Vc6duwoiS0PU6dOMaNGFTBqVAHFxbBjh441a/SsWuVYm+vQIS2HDvkzdao/Op1jcdiEBMeMrmbNLLI4rKhwqlSpQocOHejQoYPTdn9/fz755BMyMjKU2/nz58nKyiIrK4uQkBAlsZWbm8uDDz5I06ZNiYyMJDIykkaNGsnsLiGE8AJXE1thYWE3tf+kSf5YrSo6dzbRpo3M1hJCCOH5QkJstGkDvXvnUFxsZ88eRz/D6tV6Nm/24eRJLT/9pOWnn/xQqey0bGlREl1t25rx8XH3OxBC/BlJbAkhPF7btm2ZPn06Z86cYeLEiQwZMkR5bMmSJZjNZpKSktBoNG5spbhZGg1ER1uIjrbwzDN55Oaq2LDBUTN79Wo9x49rSU3Vk5qq5913ISiomM6dHSULO3cuIjjY5u63IITbVKpUiSFDhjh9Dp49e1ZJckVHRyvbMzIyWL9+PevXr1e2XZ3dFRkZyd133023bt1c2n4hhBB3LicnhwsXLgA3l9g6eVLNzJm+ADzzjKytJf7ayZMn2bNnD5mZmdSuXZsePXrg6+vr7mYJIcQNqdXQooWFFi0sPP54HoWFKtLSfFi9Ws/atXr27dOxc6cPO3f68OmnlfD1tREXZ1b6GsLDrVK2UIhyRhJbQgiv0apVK9577z3sdsf08eLiYt544w2OHDlCgwYNeOSRRxg6dCgGg8HNLRW3onJlO0lJJpKSTNjtcPiwRhlltX69nosXNSQn+5Kc7Pgx3bixhfj4Ijp2NBMbW0TlylJOQFRsNWrUoEaNGnTp0sVpe8OGDZkwYQJ79+5VbhcvXlRmd107Gyw9PZ2XX35ZmdnVtGlTmjRpQkBAgIvfjRBCiL9ydX2t4OBg/Pz8/nL/zz+vhMWiIi6uiHbtzGXdvHLv6NGjbN26lcaNG99U/LzZhQsX2LdvHwcPHmTMmDGofu/Vfe2111i4cKGyn8FgoHv37vTv35/ExESZ/S2EKPeMRjtduxbRtWsRANnZatascSS51qzRc/685vc1wR39R8HBxXTqVESHDkXEx5upXVvWARfC3SSxJYTwWmazmYEDB/Ltt99y+PBh/vGPfzBhwgTGjh3L6NGjpUPWA6lUEBZWTFhYAfffX4DZDNu2+bBqlePic9cuHfv3O25Tp4JabadFi5JEV0yMGV9fSXQJAY6E14gRI5T7drudc+fOKUmu+Ph45bH09HS2bt3K1q1bnV6jdu3aREZG8vjjj9OuXTuXtV0IIcSNXbp0icqVK9/UbK0zZ9T89JNjcJCsrQWPP/44ycnJAAQEBDB69GgeeOABatas6d6GuUBmZiZbt25l79697Nu3j3379nHu3Dnl8R49eijrerZo0YKjR48SHh7Orl27OHLkCL/99hu//fYbVapUYevWrej1ene9FSGEuGXBwTbuvruQu+8uxGaDvXu1rFnj6GfYuFFPdraGWbN8mTXL8Z1Zv76VDh0ca4B36CCVY4RwB5X96tQGUWbOnTuHxeK+OuUqlYqQkBBOnz6N/O92DYm56/1ZzPPz8/nxxx/5+uuvOXXqFOAo1/Xmm29y9913u6O5XqE8nucXL6rZsMGH9ev1rFun59Ah5/EbOp2dNm3MdOzoGGXVurVn1c0ujzH3dhJzh9OnT7Np0yYyMjKUxNfVz1OAn376ic6dOwMwf/58PvroI5o0aULjxo2Vf+vVq4f6JhbEk5i7nrfFXKfTUb16dXc3Q3gRd/6eu92/T7vdjslk+suZM6+/HsA33/gTE1PE3LkXKkyZJZvNxtatW1m0aBHPPPMM/v7+AHz00Ud89NFHBAcHc/LkSQB8fHwYMmQIjzzyCOHh4e5sNuAYbLJz507UajVqtRqVSoVarUaj0aBWq+nYsSNVq1YFHLPP9u/fr+x79Zabm8v+/fsZO3YsVapUAeCtt97iyy+/vO549evXp3HjxowfP/4Pk6V2u51du3bx66+/Mn/+fCIjI/nuu++Uxz/66CNatWpFx44d0el0f/ievO17yBNIzF1PYu56pRXzwkLYtEmv9DXs2qWjuNj5CzMszEpcXBHx8Y5kV/XqFTPRJee563lbzG/lt5zM2BJCeD0/Pz8efPBB7r//fpKTk/niiy/Yv38/devWVfax2+1KaQ3huYKCbPTrZ6JfPxMAp06p2bBB/3uiy4dTp7Rs3OgYcTVhAhiNNtq1M9Oxo5n4+CKaN7cgS7EJcb2QkBAGDBjAgAEDlG05OTns37+fvXv30qJFC2X7nj172L9/P/v373d6DaPRSOPGjXnvvfdo3rw5ABaLBa1WK5+/Qggnc+fOZdOmTZw8eRIfHx8iIiK49957qVWrlrKP2Wxm2rRpbNiwAYvFQlRUFOPGjSMwMFDZ5/z583zzzTfs2bMHg8FAQkICI0eOrBDrrqpUqr9Map0/r+b776/O1srz+qSW2WwmNTWVlJQUlixZwtmzZwGIioqif//+AIwZM4b777+fyMhIpk2bxhdffMGmTZv46aef2L9/P/Pnz3dZey9fvkxKSgrz5s3js88+IygoCIDly5fz/vvv3/B5ycnJSmJryZIlvP766zfcNy4uTpmh3aZNG+Lj42nSpIlyu5lyjCqViqioKKKionj11VfJzc1VHjt27BgffvghAFWqVKFPnz7cdddddOjQoUL8HQohvIPRCAkJjrW24ApXrqjYtMmHDRscya7du3UcOqTl0CEt06c7PjMbNbIos7k6dDATFFQxE11ClCVJbAkhKgydTsewYcMYMmQIaWlpxMbGKo+98847HDlyhMcee4zWrVu7sZWiNNWqZWPo0EKGDi3EbocjRzSsX6///ebDhQsaVq82sHq1o252QICNuLgiJdEVESELxApxI4GBgbRv35727ds7bX/ggQeIiYlRyhjt37+fzMxMCgsL2bFjh1MZ2EmTJjFlyhSn2V1NmjQhISHB1W9HCFGOZGRk0KtXLxo2bEhxcTE//fQTb7/9NhMnTlTWSv3uu+/Ytm0bzz77LL6+vkyZMoUJEybw1ltvAY4ZOf/+978JDAzk7bff5tKlS0yaNAmNRsPIkSPd+fbKja++8sNkUtOqlfn3zjrvdOjQIT766COWLVvG5cuXle2VKlWie/fuSnk9gKCgIGUGVK9evejZsyebN2/myy+/ZMiQIcp+ubm5bNiwgZ49e5ZqgsZkMrFixQrmzp3L8uXLKSpy/H+ZP38+Y8aMASAsLIxevXphs9mw2WzY7XaKi4uV+9d+z1avXp3WrVtjt9ux2WzKfgaDgcaNG1O5cmVl3759+9K3b987ar9KpXJKLqvVasaMGcOCBQs4f/4806dPZ/r06VSrVo2+ffty3333ERkZeUfHFEIIV6tUyU63bkV06+b4jM7NVbFxo2M214YNejIydBw86Lh9950j0RUZaaFDhyLi4hxrgVep4vkza4RwNylF6AJSirDikZi73p3EvLCwkNatW3PlimNdgbi4OB566CG6d+9+U2WzKipPP8/tdti/X8u6dY4kV2qqnitXnP9/BwUVExtrpn17x8VnZKTVrTO6PD3mnkhiXjqsVitHjhxh37599OnTR/lsfeSRR244+j04OJj58+crMzTOnDmD0WiU9RHLgLed51KK0PtcvnyZcePG8frrr9O0aVMKCgoYO3YsTz31lDJQ6eTJkzzzzDO8/fbbREREsH37dt59912++uorpaN9yZIlTJ8+nSlTpqDV3vwYT08qRWiz2ejZsye1a9fm448/VsrM/a+LF9W0b1+DggI13357gR49vCexlZOTQ05ODqGhoQAcP35cOU+qV69Oz549SUpKIj4+Hp8/qEl9MzGfNGkS//73v2nQoAGPPPIIQ4cOVZKut+PkyZNMnDiRlJQUp+RbREQEgwYNYsiQIU4JOE9jtVpJTU1l/vz5LFiwgJycHAA+//xzBgwYoCTEzp8/LzO5XMTbvvs9gcTc9dwV84sXVaSlOWZzbdigZ/9+5zKsKpWdyEgrsbFFxMaaiY01U7Wqd8zokvPc9bwt5lKKUAghboHRaGTevHl88cUXzJ07l9TUVFJTUwkNDeX//u//GD58OJUqVXJ3M0UpU6mgSRMrTZpYGTcuH6sV0tN1ymyujRt9uHhRQ0qKkZQURymfgAAbMTHm3y8+i2jRwsINlgoQQlxDq9USHh5+3dokH3/8MU888YQys+vqLK9Tp05x4cIFatSooez7r3/9izlz5hAcHEzjxo2JiIhQ/o2IiJDPaSG8WEFBAYCyDtKhQ4coLi52KoNau3ZtqlWrxoEDB4iIiODAgQPUq1fPafZIq1atmDx5MsePH6dBgwbXHcdisTglsK4t5+eukqlXj3uzxz99+jR79+4lMzOTgICAGz5v8mQ/CgrUNG9uoUcPs0eXhC0uLiYjI4ONGzeydOlSUlNT6dKlC9OmTQOgXr16jB8/njZt2tC2bdu/TJzcTMx1Oh2VK1fm8OHD/OMf/+CDDz5g7NixjB49+obJxGvZ7XZyc3OV89NoNDJ79mysVishISEMHDiQwYMH07RpU4/+f3OVTqejc+fOdO7cmXfeeYd169bx22+/0bNnT1QqFSqVigkTJvDee+/Rrl074uLiiIuLo0WLFjdcl0vcmVv9bBF3TmLueu6KedWq0LdvEX37OkoXnj+vJjXVR1mjKzNTS0aGjowMHVOnOp4TEWEhLs4xqDYuzkzNmp6Z6JLz3PUqcsxlxpYLyIytikdi7nqlFfOTJ0/y7bffMn36dKU+/OOPP87LL79cWk31Gt5+npvNsGuXjrQ0PRs3+rBpkw95ec4zuoxGG23bWmjf3lFSoFUrM3cwWPcveXvMyyOJueupVCr8/PzYuHEjzZo1U7bfe++9rFy58g+fo9FoOHjwIHq9HoDNmzej0WiIiIhQOsLFjXnbeS4ztryLzWbj/fffJz8/XykzuG7dOj7//HN+/PFHp31feuklmjVrxr333stXX33F+fPneeWVV5THi4qKuO+++3jppZf+sPT0zJkzmT17tnK/QYMGvPfee2X0zsrGkiVL6NWrF02aNGHv3r1/uM+lSxAaCpcvw5w5MHiwa9tYWj788EMWL15MWloaeXl5To+1bduWjRs3lmn1hStXrjBlyhQmTpzI8ePHAcfavo888ggffPDBH3YwZWVl8eOPPzJ9+nSqV6/O2rVrlcc+/fRTWrZsSadOnSpk1YiOHTuyfv16p21+fn507NiRhIQEnn766b9cN04IITxBdjasWQOrVztue/Zcv0+jRpCQAJ07O/6tV8/17RSivJMZW0IIcY3atWvzyiuv8MwzzzB79my+++47Ro8erTy+e/duLl26RKdOnSrkaIiKxMcH2ra10LathSeeAKsVMjJ0pKU5ZnOlpenJyVGzdq2etWv1vz/HTuvWZqWcQHS0GT8/z+8kFsLVAgICaN68uVOS5YcffiA3N5cDBw5w4MAB9u/fz4EDBzh48CBGo1FJagG8/fbbbNmyBYCQkBAiIiIIDw9XZne1a9fO5e9JCHF7pkyZwvHjx3nzzTfL/FiDBg2iX79+yv2r13rnzp3DarWW+fH/iEqlIjg4mOzs7JtKPG/evBmA+vXrc/r06T/cZ8IEfy5frkSTJhbatz/PDXYrF+x2O8ePH2fLli1kZmbywgsvKI/Nnz+fNWvWAI71sqKjo+nYsSNJSUk0aNCAM2fO3NYxbyXmw4cPZ/DgwcyfP5/PP/+cjIwMjhw5QnZ2trLPuXPnmDdvHsnJyWzbtk3ZfvToUfbs2UNQUBAAQ4cOBbjtdnsylUrF6tWrWbFihVI9Iy0tjZycHBYvXszGjRsZPXq0kvBbuHAhQUFBtGrVyun7X9y8W/1sEXdOYu565TnmnTo5bq++ChcuqNi0ybE8QmqqDxkZWg4eVHHwIEye7Ni/bl2r0s8QF2emfv3icrkeeHmOubfytphrtVopRSiEEHfC19eX0aNHc9999zklsCZMmMDSpUuJiIjggQceYOjQoTJysILQaqFlSwstW1p46KF8bDY4cEBLWpqPMqvr7FkNGzfq2bhRz3/+A1qtnRYtLLRvbyYmxnHzltrZQrhD5cqViYmJISYmxml7YWGh0/0aNWpQs2ZNzpw5w+nTpzl9+jSrV68GoE6dOmzcuFHZ9+uvv0ar1dKoUSMaNWpEzZo1ZeCCEOXElClT2LZtG2+88QZVq1ZVtgcGBmK1WsnPz8fPz0/Zfm1pt8DAQDIzM51e7+ps/GvLE15Lp9PdsOyZuzsK7Hb7TbUhKysLgLCwsD/c/8oVFZMnO2L25JNXUKnslKc+ELPZTHp6Olu2bGHz5s1s3brVKdFz//33K50dY8aMISkpibZt29K4cWOnEoOl8f/rZmOu1WoZNGgQAwcOZM2aNdSuXVt53p49e+jZs6eyr1qtplOnTgwcOJCkpCQqVark9nOrvNBoNDRv3pxmzZoxbtw4bDYb+/btIy0tDZPJhEqlUv6fjB8/nlOnTmEwGGjdujUdOnQgNjaWNm3a3NFaZxXRzZ7novRIzF2vvMc8KMhO794mevc2AZCb60h0Xe1n2LVLx/HjWo4f1zJrli8AwcHFxMUVKX0NERFWytNk3/Iec29UEWMuiS0hhPgT13Zu2u126tWrh5+fHwcOHODFF1/k3XffZeTIkdx///0evaCzuHVqdckaXfffX4DdDocPa0hL0yuzuk6c0LJ9uw/bt/vw5ZeO5zVoYFWSXDExZsLDreVypJUQnuR/Bxh88803AOTk5HDw4EGn27XrdgF89tlnnD9/XrkfEBCgzO5q06YNo0aNKvs3IIRwYrfbmTp1Kps2beL111+/7u82LCwMjUbD7t27iY2NBeDUqVOcP3+eiIgIACIiIvjll1/Izc2lcuXKAOzatQuj0UidOnVc+4Zc6NChQwA0bNjwDx//9ls/cnPVhIdb6NfP5Mqm/SGz2YxarUardXRNvPbaa8raWFfpdDqaN29O27ZtKS4uVrb37t3bpW39KyqVioSEBKdtU39fPKV169YMHDiQ/v37X3c+iz+mVqtp2rQpTZs2ddpuMplo06YNZrOZ8+fPKzO8AHx8fBg6dCgffPCBO5oshBClonJlOz16FNGjRxEAeXkqtmzxITXV0c+wY4cP2dka5s71Ze5c39+fYyM62kzbtmbatTPTqpUFo7FiJTlExSOJLSGEuEkqlYo333yTv//97/z888/897//5ejRo3z++ed89dVXPPTQQ7z66qvubqZwE5UKwsKKCQsrYORIxyL3J05oSE31YfNmx+3AAR2HD2s5fFjLzJmOC9DAQBtt2zqSXO3amWnZsmzX6RKiIgkMDPzDGV5XFRcXM2LECA4ePMiBAwc4evQoly9fZtu2bWzbto3jx487JbZGjhxJYGAg4eHhNGzYkEaNGtGgQQOZuStEKZsyZQrr1q3jhRdewGg0kpOTAzhm1Pv4+ODr60tiYiLTpk3D398fX19fpk6dqpQbBYiKiqJOnTpMmjSJUaNGkZOTw4wZM+jVq9cNZ2V5g2tnbP2v/HwVX311dbZWHtdMcHILu93Offfdxz/+8Q/atGkDQJs2bZg/fz5t27albdu2xMTE0LJlS4/9nP3HP/7Bs88+KwPgSpHRaOSrr77CbreTlZXFhg0bSEtLIy0tjTNnzjidKzabjXXr1hEfH+80o08IITyJv7+dLl2K6NLFkegqLFSxdatjPfBNm3zYtk1Hbq6aFSsMrFjh6Ey4Wj3mal9DTIyZGjWkeozwLpLYEkKIWxQQEMCDDz7IAw88wPLly5k8eTLr1693Gv1rNpux2+1S872Cq1OnmGHDChk2zFEm7dIlFVu3OpJcW7Y4Rlrl5KhZtszAsmWOC1AfH8cF6NWLz7ZtzVSrJhegQpQFjUbDSy+9pNw3mUwcPnyYAwcOkJmZ6dQRmZeXp5QzvJZKpaJu3br07dvXaXDDpUuXqFKlStm+ASG81JIlSwB4/fXXnbY/9thjdOnSBXCUoVOpVEyYMAGr1UpUVBTjxo1T9lWr1bz44otMnjyZV199Fb1eT0JCAsOHD3fV23C54uJiqlWrxqVLl/5wxtb33/ty6ZKG0FArAwYU/sEruNacOXNYt24djRs3JioqCo1Gw8CBAxk6dKjXlISV2VllR6VSER4eTnh4OKNHj8Zut3Po0CGnxPXatWsZOXIktWvX5p577mHEiBGEhIS4sdVCCHHnjEY7HTua6djRDJSsB75pU0lfQ3a2Rqke83sxC0JDrU6JrkaNylf5QiFulcpe0YovusG5c+ewWCxuO75KpSIkJITTp09XuFqb7iIxdz13x3zv3r1KmUKAH3/8kffff59Ro0YpP6a8jbtj7g3MZkhP1ykXn5s3+3Du3PWjSa8tX9inTyCVK59GpZKYu4Kc565XXmNuMplYs2YNWVlZZGZmcvDgQTIzM5U1e0aNGsX7778PONb8atSokTK7639vdevWLVcjx8trzG+XTqe76QWHhbgZ7vw9dzt/n1f3uzY5ZLNBdHRNzp7VMHHiJYYPd29i68qVK3Tu3JmzZ8/y8ssv8/jjj7u1Pdfyts9ET1BWMf/555958803lVmfarWa7t27M2rUKLp27VquvotdTc5z15OYu15Fjbnd7qgec7VyzObNPuzbp8Vudx40EhjoKF94ta8hKsrMnU6Qrqgxdydvi/mt/JaTxJYLSGKr4pGYu155i/moUaNYtWoV4Ghb165duffee+nWrZuyhoCnK28x9wZ2Oxw9WnIBumWLD/v3X18uqVIlG61aWWjTxvz7zUJQkMzqKgtynrueJ8Xcbrdz4cIFMjMzCQgIUNYB2b9/P4mJiTd83ogRI5gwYQLgmOE7d+5cwsLCaNiwIUFBQS5p+7U8KeY3QxJborR5WmLrj6Sna+nVqwZ+fjbS07Px8SnFRt6Gt956iy+//JIGDRqwfPnyclXlwNs+Ez1BWca8sLCQlJQUpk+fzsaNG5XttWrVYv78+QQHB5fq8TyFnOeuJzF3PYl5idxcFdu2lSS6tm/XUVjoPF1Lq7XTrJmF6Ggz0dGOf+vUKb6lNcEl5q7nbTG/ld9y3tG7KoQQ5cy3336r/IBav349K1asYMWKFdSsWZORI0fy3HPPeU2JFVF6VCoIDS0mNLSkfGFOjnP5wp079Vy5ombtWj1r15Z0AoWGWp0SXZGRFrd3Wgnh7VQqFdWqVaNatWpO2xs3bkxmZiZZWVnKDK+rs7wOHz7stPbNkSNHePbZZ5X7VapUoWHDhkqiq1OnTkRFRbnsPQkhvFNamuOaoV07s9uvDzIzM5k8eTIAb775ZrlKagnvYzQaGTJkCEOGDOHgwYNMnz6dWbNm4e/vT82aNZX99u3bR6NGjSr0LC4hhPeqXNlO165FdO3qWKfLYoE9e3ROg2rPnNGwc6cPO3f6MHWq43k1ahQTHe3oY4iOdqwJ7qHLXgovJIktIYQoAzqdjgEDBjBgwAAOHTrETz/9xM8//8yZM2fYtWuXU1KruLhYfkCJGwoMtNOtWxHduhWhUqmoXj2ElSvPsXWrju3bHQvFZmbqOHJEy5EjWn75xRcAvd6xVldJsstMrVq2WxptJYS4fUajkebNm9O8eXOn7TabDbPZrNy3WCx06tSJrKwsTp06xaVLl9iyZQtbtmwBUNYOAjh27BivvPIKDRs2VJJfYWFhBAcHy2AJIQQvvPACmzdv5tlnn+Wuu+5yeiwtzZHNio01/9FTXcZut/PPf/4Tq9VKjx49/nR2qxClrVGjRrz++uu8+OKLnDx5UvnuLCgoYODAgfj7+ytrcXljKXkhhLhKp4NWrSy0amXhwQfzsdvh5EkNW7fq2LrVh61bfUhP13H2rIaFC40sXOjIZpXGrC4hSosktoQQooyFhYXxyiuv8Pzzz7NkyRKnkYEnTpygf//+DBs2jHvuuYfQ0FD3NVR4BK0Wmje30qyZhdGjCwDHrK4dOxzlBLZt82HbNh9yctRs2eIYeXVVzZrFyoyu1q3NtGhhwd/f86eqC+FJ1Go1BoNBud+sWTNmzJgBODrWDh06RFZWlvJvdHS0su++ffuUGcDX8vX1JTQ0lCeffFLpzC4sLKSwsJAqVapI0kuICmLv3r0cOHDgur95m+3axFaRO5qmWLp0KatXr8bHx4fXXnvNrW0RFZfBYKBhw4bK/QMHDqDVajl9+jQTJ07k448/VkrJx8fHK+soCyGEt1KpoE6dYurUKWbAABMAhYWwe7ePU7Lr7Nkbz+q6muzq1cuNb0RUKJLYEkIIF/Hx8aFfv35O2+bMmcOZM2eYNGkSkyZNolOnTowcOZLevXvj4+46McJjBAba6dKliC5dHJ1VdjscOqRh2zYfZVZXRoaOM2ecR1upVHYaNbISFWUhKspMVJSFpk0tXNPnLoRwIV9f3z+c5XVV06ZN+fe//60kvg4dOsTx48cpKCggIyOD4uJiZd/U1FTuu+8+AgMDadCgAQ0aNFBmeIWFhREeHo5R6ogI4TXsdjuHDh0CcCp3CnDggJZLlzQYjTaioty39jNAx44d+dvf/oZer6dBgwZubYsQV7Vq1YqtW7eyaNEifvjhBzZs2MDy5ctZvnw5AFOnTqXX7z21Z8+eJTc3lwYNGnjN2slCCPFHjEZHCeN27czArczqgsjIakRFmWnd2tHPEBFhRQoVidIm38JCCOFGjz32GI0aNeLHH39k1apVrF27lrVr11K1alXuvvtuHn/8capUqeLuZgoPo1JBw4bFNGxYslZXYaGKXbt0bNumUxJep09rOHBAx4EDOmbNcpQw1GrtNGliISrKUZagZUszjRtb0enc+Y6EEAB16tRh9OjRTtvMZjPHjh3j8OHDtGzZUtl++vRpAHJycti+fTvbt293et4nn3zCkCFDANi/fz/Tpk2jWrVq1K9fn9DQUHx9fcv43QghStOlS5fIyckBuC5hdHW2Vtu2Frd/n/v6+vLiiy+6txFC/AG9Xq+Uks/KyuKnn34iOTmZ06dPO/1N/fLLL7z11lvo9XrCw8Np0qQJkZGRREZG0qRJE2rWrCkzpYUQXulWZnXt3q1j924dP/zgmPHq62ujRQtHH4Mj4WWhbl0pYSjujCS2hBDCjXQ6HX369KFPnz4cP36cn376iRkzZnDmzBmmTZvGM888o+xrt9vlR5K4bUajnfbtzbRv7xhtBXD2rJqdO3W/lxLQsWOHjosXNaSn+5Ce7sP06Y7nGgyOOtpXZ3W1amUhLMyKWu2+9yOEcPDx8SE8PJzw8HCn7aNGjWLw4MEcPnyYw4cPc+jQIeXfQ4cOOXXSbdiwgVdeecXp+cHBwYSGhtKgQQPGjRtHkyZNAPkuEqK8ysrKAqB27drXzcZMTdUD7i1DeOXKFfz8/FDLxYPwAA0bNuTVV1/l1Vdf5eLFi1SuXFl5rKCgAF9fXwoKCtizZw979uxxeu6iRYto0aIF4ChxeOXKFZo0aSLlDIUQXul/Z3WBCoslhCVLLrFjh5bt233YtUtHfr6ajRv1bNyoV54bFFT8e6LLQqtWZlq1slCtms1t70V4HklsCSFEOVG3bl1eeOEFnn32WVasWMGpU6eUH0B2u51BgwbRpEkThg0bRps2baRjUdyxGjVs9OhRRI8eJSUMT57UsGOHjl27dOzY4bgIvXJFrYy+usrfv2TEVYsWjvW6QkOLJdklRDliNBpp2rQpTZs2ve4xu71kfb369eszatQoMjIyOHz4MDk5OWRnZ5OdnU1aWhrDhw9X9v3+++/5+OOPCQ0NVW5XSx2Ghobi7+/vkvcmhHB2NbF17bpB4PhuvzpjKy7O7PJ2XfXss89y+vRpPvjgAyIjI93WDiFuVVBQkNP9Z599lqeffprjx4+zb98+9u7dy969e9m3bx9Hjx51GmgyZcoUfvjhBwBCQ0OJiYmhXbt2xMTEEB4eLr/nhBBeR6WC+vWhXz8Tffs6fm8UF0NWlpbt2x2DanfscCyVcPGihhUrNKxYUbIWQp06Vlq1Kkl0ybrg4s9IYksIIcoZrVZLz549nbalp6ezefNmNm/ezPfff0/Dhg0ZNmwYQ4YMoVatWm5qqfA215YW6NfPUVrAZoPDhzXKBeiuXY6SAnl5alJT9coocHAku5o1s9C8uePWooWFRo2syPIDQpQ/13amJSYmMmrUKE6fPo3dbufSpUscOXKEI0eOcPjwYRo1aqTse/jwYc6cOcOZM2fYuHHjda+bnJxMTEyMS96DEKLEjdbXyszUcv68BoPBTqtW7klsrVmzhpSUFDSyuIbwEmq1mvr161O/fn1l7S2AoqIi9PqSa2NfX19q1qzJmTNnlO/VWbNmAVClShU2bNhAQEAAIDOihRDeS6OBiAgrERFWhg93LJVQVAQZGY6qMTt2OPoaMjN1nDih5cQJLb/9VrIueFiYlZYtHf0LLVs6+hoqVZJkl5DElhBCeIRmzZoxY8YMZs6cSUpKCllZWbz77ru89957dO7cmWeeeUY6EkWZUKtL1usaPNhxEWq1OhaivzqrKz1dx969jmTX/5YXMBgca3Zdm+xq0sSCwXCjIwoh3K1KlSpUqVKF1q1bX/fYM888w8CBA5USh1eTX0eOHOHChQvUq1fPDS0WQgQFBSnr/FwrNdUxW6t1azPX9Le7jMVi4Z///CcAY8aMkdlawqvp/+eP7LXXXuO1117j4sWL7Ny5k82bN7Np0ya2b99OQECAktQCGDduHBcvXiQmJoaYmBjatm0ray0LIbyWXg+tW1to3doCFABw+bJjXfCrg2qvrguelaUjK0vH3Lklz3cku8xKsqtFC0l2VUSS2BJCCA+gVqvp1KkTnTp14t///jcLFixg5syZpKWlsXr1ah588EFl38LCQgwGg4z4E2VGq4WmTa00bWplxIiSZFdmppbdu3Wkp5fc8vLUv4/AKiljqNHYiYiw0qyZ4wK0RQsLTZvKhagQniAgIICoqCiioqKue+zy5ctUqlTJDa0SQjzyyCM88sgj1213dxnCqVOncvDgQYKCgnjuuefc0gYh3C0oKIiuXbvStWtXAMxmM6dPn1YeLy4uZv369Vy5coVNmzYp2xs3bkzbtm3p1KkTd911l8vbLYQQrhQQYKdjRzMdO5Zcs5w7p2b37pLKMbt26Th1SsuhQ45bcnLJ8xs0cCS7ria6WrSwEBAgfQzeTBJbQgjhYfz9/Rk+fDjDhw/n6NGjzJ8/n86dOyuPT5w4kZSUFIYOHcqwYcOoU6eOG1srKgqtFpo0sdKkiZVhwxzJLpsNjh7VOCW7du921NLeu9cxy2v27JLXCA11JLuaNr16s1K7djGSoxXCM1w78lwI4X6O9bUcM0ji4opcfvyzZ88yceJEAF566SUCAwNd3gYhyiMfHx/q16+v3Fer1aSkpCgzujZv3kxWVhb79+9n//79HDt2zCmx9fXXXxMaGkqjRo2oV6+elPkUQnit6tVtJCYWkZhYch1z/vz1ya6TJ7UcPuy4zZtX8vzQUEcZw5Ytzb8vm2AlKMjmhnciykKFS2wtWrSI+fPnk5OTQ/369XnggQecFve81rJly1izZg3Hjx8HHPXK77nnnhvuL4QQrla/fn2eeOIJ5b7dbmfRokUcOXKEDz/8kA8//JAOHTowbNgw+vbti5+fnxtbKyoatRoaNCimQYNi+vd3rNllt8Pp0+rfk1w+pKdr2b3bUWLgyBEtR45oWbDAqLxG5co2IiMtREZafp8lZqFxYwtG442OKoQQQlQsxcXFqFQq1Gq10/bDhzWcOaPBx8dO69aun7H1zjvvkJeXR6tWrRgxYoTLjy+Ep1CpVISFhREWFsbw4cMBuHDhAlu2bGHTpk1EREQo+164cIE33nhDua/X6wkLCyMiIoJGjRoRFxdHbGysy9+DEEK4SrVqNrp2LaJr15Jk14UL1ye7TpzQKn0Mv/5a0oEQHFxMs2YWp1v9+sX8z2WU8AAVKrG1YcMGpk2bxoMPPkijRo1YsGAB//rXv/j444+pXLnydftnZGQQHx9P48aN0el0zJs3j7fffpuJEycSFBTkhncghBB/TqVSsXjxYlJSUpg5cyYbNmxQbq+88gqjRo3i9ddfd3czRQWmUkGtWjZq1SqiZ0/nC1HHWl1a9uxxzOY6eFBLbq6atDS9MuIcQK2206CBVUl0NW3qSHzVqmWT2V1CCCEqnKtlqRMTE/nmm2+U7Ve/O1u3Nrt8QIjJZCIzMxOAt95667qkmxDiz1WtWpVevXrRq1cvp+0mk4lBgwZx8OBBMjMzMZlM7N27l7179wIwduxYJbF1+fJlnnvuOcLDw5XEV8OGDTHKCDEhhJepWtVGly5FdOlS0sdw8aKK9HQfdu1yJLoyMnQcPqwlO1tDdraG5ctLFv7287MRGWl1SnbJgNryr0Iltn777Te6deum1DV+8MEH2bZtGytXrmTgwIHX7f/kk0863X/kkUfYuHEju3fvJiEhwRVNFkKIW+br68vQoUMZOnQoJ06cYPbs2cyaNYsjR45gtVqV/YqLi9m9ezdRUVGyHpdwu6pVbSQkFJGQUHIhWlTkWLcrI8NxEbp3r46MDC0XLpQsIDt/fsmVZmCg7feZXZbfZ3ZZiYiw4ucndbWFEEJ4r6ysLEwm03XbU1Md62vFxrp+tpbBYODXX39l48aNtGnTxuXHF8Jb1a5dm0mTJgGO33MnTpzg4MGDHDx4kAMHDtChQwdl34MHD5KSkuL0fJVKRd26dYmIiGD06NF0797dpe0XQghXCQqy07lzEZ07l/Qx5OWplMG0GRk69uzRsW+fjvx8NVu2+LBlS8na4Gq1nfDwq8sllCS9qlWTUoblRYVJbFmtVg4dOuSUwFKr1bRo0YIDBw7c1GsUFRVhtVrx9/f/w8ctFgsWi0W5r1KplJEw7uw0vnps6bh2HYm560nM/1jdunV55plnePrpp9m8eTPVq1dXYrRp0yaGDh1K/fr1GTBgAAMGDCAyMvKmX1ti7noVLeYGAzRvXkzz5sVASSnDs2fVThejGRlaMjO15OSoSU3Vk5qqd3qdevWsNG7sWP+rcWMLTZpYadjQil7/Bwf9HxUt5uWBxNz1JOZCeLZDhw4BjtL5VznW17qa2HL9+lrg+L0dFxfnlmMLURFoNBrq169P/fr1/zBBVatWLd544w0OHDhAZmYm+/fvJycnh2PHjnHs2DH69eun7Hv69GlmzZpF586dadGihazbJYTwSv7+dmJiLMTElPTfW61w6JCjf8Fxc/z3hQsaDhzQceCAjrlzS16jRo3i35dLsNKkiaN6TKNGN9e/IEpXhUlsXb58GZvNdt2CtYGBgZw6deqmXmP69OkEBQXRokWLP3x87ty5zJ49W7nfoEED3nvvPapXr37b7S5NwcHB7m5ChSMxdz2J+Y0NGDDA6X5OTg6+vr4cPXqUTz75hE8++YRmzZoxYsQIRowYcdPrCUrMXa+ix7xWLWjVynlbURFkZMDOnY5berrjlp0Nx45pOXZMy9KlJftrNBARAc2bO98aNnQ89r8qeszdQWLuehJzITxTVlYWAA0bNlS2HT+u4dQpLVqtnbZtLTd6aqnLycnhv//9Lw8//DC+vr4uO64Q4nohISGMGzdOuW+327lw4YIyw2vQoEHKY6tWreK9997jvffeIzAwkPj4eDp37kznzp2pV6+eO5ovhBAuodVCRISj2sugQYWAY4DQmTNqp5lde/boOHxYw9mzjtvq1SWvodHYadjQMZj26hrhkZFWatculuUSylCFSWzdqeTkZNavX8/rr7+Oj4/PH+4zaNAgpxEvV0e9njt3zqn8l6upVCqCg4PJzs7GbpdyTK4gMXc9ifmt69OnD126dGHp0qUkJyezcuVK9uzZw/jx4xk/fjxLly6lWbNmN3y+xNz1JOZ/LjjYcbt2KYILF1QcOKBj3z4t+/dr2bfP8d+XL6vZuxf27oVZs0r2Nxgc5QaaNHGUMoyMtNKxYxA6XTYqlcTcFeQ8dz1vi7lWqy03QEaLEgABAABJREFUA8uEcIU/SmxdLUMYFWXB19d1f9cffvgh//3vf9myZQvTp0932XGFEH9NpVJRrVo1qlWrRocOHQgJCeH06dOAo8Rh7969Wb9+PTk5OSxYsIAFCxYAEBoaypdffnnDQd5CCOFtVCoIDrYRHFxEt24lM9/z81Xs26dl717dNf/qyMlRK7O7fv21ZLmESpVsv8/qcvQxNG3q+LdSJc//zVUeVJjEVkBAAGq1mpycHKftOTk5183i+l+//vorycnJjB8/nvr1699wP51Oh06n+8PHykMngd1uLxftqEgk5q4nMb81RqOR/v37079/f3Jzc1m0aBHJyckcO3aMyMhIJZbffPMNBoOBvn37EhQU5PQaEnPXk5jfvKAgO7GxRU5lmOx2yM5Ws3//1YSXjv37HYkvk0lNerqO9HTn73OjsQaNGlmVW0SElfBwC/XrF6OtMFdTriXnuetJzIXwPPn5+WRnZwPOpQjT0hz1cOLiXFeGMCMjg++++w5wrE8thPAcV2dnWa1Wtm/fztq1a1mzZg3btm3j6NGj1KlTR9l35syZHDlyhM6dO9OmTZsbDv4WQghv4+dnJzraQnR0yWx4ux1On1azb59jXfC9ex0Dag8e1HLliprNm/Vs3uxcp7BOHccg2saNr64NbiE83IrB4Op35NkqTFeMVqslLCyM9PR02rVrB4DNZiM9PZ3evXvf8Hnz5s3jl19+4ZVXXnEaASeEEN6mcuXKDB8+nOHDh1NUVKTMOjWbzXz88cfk5OTw6quv0rlzZwYMGEDv3r0JCQlxc6uFuHUqFYSE2AgJKaJLl5IOv+JiR+mmkoSX44L00CEdhYVqdu3yYdcu5x/uPj52wsKuJrscF6MREVYaNJAa20IIIcre4cOHAQgKCqJKlSrK9qsztmJjzS5ph91uZ/z48dhsNvr06UOnTp1cclwhROnSarXExMQQExPDs88+y5UrV9i9e7fT58tPP/3Epk2b+M9//oOfnx+xsbF06tSJ2NhYmjZtKutzCSEqFJUKatWyUatWEYmJJf0LZjNkZWmdkl0ZGTqyszWcOKHlxAktS5eWZLLUajv16xfTuLGFiAirkvC62fXBK6IKk9gC6NevH5999hlhYWGEh4eTkpJCUVERXbp0AWDSpEkEBQUxcuRIwFF+cObMmTz55JPUqFFDme1lMBgwSApVCOHF9Nd8a1qtVp544gmSk5NJT09nxYoVrFixAoPBQO/evRk8eDDdunVzY2uFKB0aDYSGFhMaWqyUM3SUbAkhLe0sBw5oOXjQ+WYyqX8vb6gDjNe8luOi9NpkV6NGVho2tOLnJzNihBBClA61Wk1SUhJGY8l30MmTGo4f16LR2ImJcU1i69dffyUtLQ2DwcBrr73mkmMKIcpepUqV6NChg9O2UaNGERISwtq1a7l48SLLly9n+fLlANStW5fU1FRlkKTNZkOtVru83UII4W4+PhAZ6ZiZda1Ll1TK7K79+7UcOKDlwAFHOcPDh7UcPqxl0aKS/TUaO6GhVxNdjmRX48ZWwsKsVPQJsxUqsdWhQwcuX77MzJkzycnJITQ0lJdfflkpRXj+/Hnlyxdg6dKlWK1WJk6c6PQ6Q4cO5e6773Zl04UQwm18fX159NFHefTRR8nMzFTKs2ZlZZGcnExoaKiS2CoqKiIvL4+qVau6udVClB6dDsLDi2nY0EpSUsl2mw1OnNAoSa4DB3TKf1+5oubQIS2HDl1/qRUc7Hitq7fwcMe/tWsXI7/7hRBC3IqmTZsyefJkp21XZ2u1aGHB37/sB1MUFBTw5ptvAvDEE084lSwTQnifoUOHMnToUGw2GxkZGaxdu5YNGzawefNmIiMjnfrVunTpQs2aNYmNjaV9+/ZER0c7JeKFEKKiqVLFTlycmbi4ksFHdjucPav+PdGl48ABx5IJBw441gfPytKRlaUjJaXkdbRaOw0aOBJe0dEQHGwgPNxCWFjFKWmosksh/TJ37tw5LBbLX+9YRlQqlbIoqPzvdg2JuetJzF3LbrcrP2ISExOJiIgAYPHixYwbN4727dvTp08fevfuTa1atdzcWu8h57nr3U7M7XY4c0b9+wwvndMMrwsXblyaxWBwXJj+UdLLFR2T5YWc567nbTHX6XRUr17d3c0QXsSdv+du5+/z73+vzE8/+fHoo3m8+urlMm4hvP/++/znP/+hbt26rFy50uM7rb3tM9ETSMxdryxiXlxcTG5urrIm84kTJ2jfvr3TPjqdjpYtWxIbG0v37t2VpUIqAjnPXU9i7noS89J1dX3wAwdKZnddTXjl5f3xqFi12k69eo7BtI41wh1VZBo1slK5cvn/f3Irv+Uq1IwtIYQQpUOlUtG8eXN69OjhdMGyc+dObDYbqamppKamMn78eFq3bk3fvn1JSkoiNDTUvQ0XwgVUKggOthEcbKZzZ+cSUDk5KrKytNfdjhzRYjKpfq+/rbvuNWvWLCYsrCTRFRbmWMerbt1idNfvLoQQooK4ePEiVapUcZohkZrqKCkdG1t0o6eVqpEjR5KZmcngwYM9PqklhLh9Go1GSWoB1K5dm1WrVpGWlsbGjRtJTU0lOzubrVu3snXrVgoLC5XElslkYsWKFcTGxjq9hhBCVGTXrg+ekFByXWe3w6lT6t9nd+k4cSKAnTvNZGZqyc1Vc+SIo4/h9yqxiurVi5UkV6NGVsLDLTRqZCU42MY1l5IeQ2ZsuYDM2Kp4JOauJzF3vRvF/Pjx46SkpLBw4UK2bNni9Fhqair16tVzR3O9gpznrueqmFutcPy4xinZdeiQlsxMLefO3XiWl1Zrp06dYiXR5bgV06CBlTp1ivHEtbvlPHc9b4u5zNgSpa28ztiy2+00adIEu93OkiVLCA0NJTtbTXR0MGq1nT17sgkI8Py/aVfzts9ETyAxdz13xNxut3P8+HEl0XXXXXcpa96npaUxZMgQwFFiNSEhgYSEBGJiYrxmjXs5z11PYu56EnPXuzbmNpud8+fVSsWYzMySKjLZ2TfuHPD3txEeblWSXo88kofWTdOhZMaWEEIIt6lbty4PP/wwDz/8MGfOnGHhwoUsXLiQixcvOiW13njjDXx8fOjbty8tWrRwGmksREWj1fJ7QqqY7t2dR9jn5qo4dMiR7MrMdPzrWFRWg8lUMhrrf+l0durVK0l0Xb2FhRVTq5as5yWEEJ7u7Nmz5OXlKR0aAGlpjtlazZpZyjyplZeXh7+/f5keQwjhPVQqFfXq1aNevXrXrVtfUFBAkyZN2LdvHxkZGWRkZPDFF19gMBiIi4vjueeeo3Xr1m5quRBCeAaVCqpXt1G9upkOHZyrx1y54qgeU5LwciS9jh7VkJenZscOH3bs8CEw0Mbjj+e56R3cGklsCSGEKDM1a9bk/vvv5/7773ca6VxYWMi0adMwmUxMmjSJOnXq0KNHD7p3705sbKzXjMoTojRUrmyndWsLrVs7zxaw2Rz1th1JrpJk1+HDWo4e1VJUpFIWmf1fer2d+vUdia7Q0GLq17dSv77j3zp1pLyhEEJ4gkOHDgGOQUV6vSOhlZrqA0BsrPmGzysNRUVF9O7dm9atW/PGG29I6TAhxB1JTEwkMTGR8+fPs27dOlatWsWaNWv+n737Do+iatsAfu9uetn03gsJIYHQSyBIk14CgiBNpUlRFF8RXxWFVxApiigiIAIi0kQRFKQISJFiJLTQQ3rvve/O90e+jCxJIIFkN5vcv+vaK9mZszPPPNkkM/vMOQcpKSk4efIk5s+fL7YNCwtDXFwcgoOD+beHiKiWTE0FtG1bhrZtVT9XKC0FoqL+LXYpFBKtGZaQhS0iIlIL3Qc+KZdIJFi1ahUOHTqEEydOID4+Hlu2bMGWLVtgZGSEGTNmqFy8EFFVUing6KiEo2MpundX/QBTqQQSE2WIjJRVKXzFxlYUvSrH436YTCbAyUkhFrrc3csf+F4BY2MOKUFE1Bjcv38fAODl5SUuu3ChorDVrVvDFrY2btyIqKgoFBYWQk9Pr0H3RUTNh7W1NUJCQhASEgJBEHDnzh2cPXsWAQEBYpvt27dj9+7dkEgkaNOmDXr27IlnnnkGHTp04N8jIqI60tMDfH3L4etbrulQ6oyFLSIiUjsDAwOMHDkSI0eORFFREU6fPo3jx4/j+PHjSE5OhrGxsdg2MzMTmzdvRr9+/dCmTRtIOX4a0WNJpYCzswLOzgr07Kn64WZ5OZCQIBMLXdHRFT28YmIqil7FxRLExuogNlYHZ87oV9m2tfW/Ra8HC15ubuWwsdHOSWeJiLRRZY8tT09PAEBamhQREbqQSAR07lzyqJc+lbi4OKxZswYA8N5773E4QiJqEBKJBC1btkTLli1Vlnt5ecHPzw+3bt3C1atXcfXqVXz55ZcwMjJCUFAQNm7cKPZiJSKipouFLSIi0ihDQ0MMGDAAAwYMgCAIuHHjhspEkSdPnsTq1auxevVq2NjYoG/fvujXrx+Cg4P5QQrRE9DRwf8XpBT4//m6RUolkJoqRUyMDqKjZWLBq/J5VpYM6ekVj0uXqt4Ra2AgwNm5HK6uCri4KODqWv7/XxVwcSmHuTl7exER1ZfKHluVha3K3lotW5bDwqJh/t7Gx8fj+eefR1FRETp27IhRo0Y1yH6IiGoyZ84czJkzBykpKTh9+jROnz6NU6dOISMjA7GxsSpFrZUrV0Iul6N9+/Zo3bo1h7wnImpCWNgiIqJGQyKRqAwzAQAODg4YPHgwTp06hbS0NOzatQu7du2Crq4uunXrhsWLF8PHx0dDERM1LVIpYG+vhL19Kbp0qbo+N1dSpehV0eNLhsREGYqLJYiI0EVERPWTdMnlyocKXg8WvhQwNGThi4iAmzdv4sCBA4iKikJWVhbeeustdO7cWVwvCAL27NmD48ePo6CgAC1btsS0adPg4OAgtsnPz8fmzZtx6dIlSCQSdOnSBS+//HKT+lCzssdW5VCE589XfJjbrVvD9NaKi4vDmDFjEBcXB3d3d6xbtw4SdtMlIg2xs7PDmDFjMGbMGCiVSty8eRNZWVni+rKyMqxfvx7FxcUAKobG9/f3R7t27dC+fXt07NgRrq6umgqfiIieEgtbRETUqAUFBSEoKAilpaW4cOEC/vjjD/zxxx+IiYnB6dOnYW5uLra9ePEiFAoFOnbsyPHViRqAXC6gdesytG5dVmVdaWnFEIdxcTLExekgNrbi+9hYHcTFVfTyys2V4sYNKW7cqL7wZW1dUeRq0QKwsjKFk1O5OKSis7MCJiYsfBE1ByUlJXB3d0efPn2watWqKuv379+P33//HXPmzIGtrS12796NpUuX4rPPPhP//3/xxRfIysrC+++/D4VCgXXr1mHDhg14/fXX1X04DWbw4MG4c+cOWrRoAeDfHltdu9b//FqCIGDq1KmIi4uDh4cH9uzZA0dHx3rfDxHRk5BKpVVukCwrK8Mbb7yBsLAwhIWFIT09HVeuXMGVK1ewZcsW9O/fH1u2bAFQ8Tfur7/+Qps2bSCXyzVxCEREVEcsbBERkVbQ09NDz5490bNnTyxevBj3799HWFgYbG1txTafffYZzp49CyMjI3Tt2hXPPPMMnnnmGXh7e/OOYqIGpqcHeHgo4OGhAFD1Q9XCQsn/F7qqL3zl5UnFYQ7DwgCg6lCj5uZKODtXFLucnBQqRS9nZwUsLDjHF1FT0K5dO7Rr167adYIg4NChQxg1ahQ6deoEAHj11Vcxffp0hIaGonv37oiPj8eVK1ewbNkysTfTlClTsGzZMkyaNAmWlpZqO5aG9N///lf8PjNTijt3Km4aaIjClkQiwapVq/Duu+9i06ZNsLe3r/d9EBHVJyMjI7z22msAKv53xMfHi0WusLAwdHlgeILExESMHTsWEokE3t7eaN++vdizy9fXFzo6/PiUiKix4V9mIiLSOpUXHN7e3uIyQRDg4uICa2trpKen48SJEzhx4gQAwN7eHgMHDsTSpUs1FTJRs2dkJMDXtxy+vuUAVIfJEgQgO1uCuDgdxMXpIDfXAjdvFiA+Xor4eB0kJMiQkyNFdrYU2dl6CA+vaR9KseD14FdHx4qHvb0C7MxJpN1SU1ORnZ2NNm3aiMuMjIzg7e2Nu3fvonv37rh79y6MjY3FohYAtG7dGhKJBBERESrDGj6orKwMZWX/9kiVSCQwNDQUv9eEyv0+bv8XL1YMQ+jjUwZrawFA/cSrUCggk8kAAIGBgfjtt9+a/M1Ctc051R/mXP2aW84lEglcXV3h6uqKkJCQKutTU1Ph5uaGmJgY3Lt3D/fu3cPu3bsBVPyP+e9//4upU6cCqLjufJK8NbecNwbMufox5+rXnHPOwhYRETUJlXcSK5VK3Lp1C2fOnMGpU6fw999/Izk5GbGxsSrtv/76a7Ru3RqdOnVSmWCYiNRPIgEsLARYWJQhMLAcDg5AUlIuBOHfoQfz8iSIj5chPl6GhAQZ4uN1VJ6npspQWCjFvXtS3LtX/VCHEokAW1slHB0VcHBQLXo5OlY8t7FRQipV15ETUV1lZ2cDAMzMzFSWm5mZieuys7OrDCUlk8lgYmIitqnOvn37sHfvXvG5h4cHli9fDhsbm3qJ/Wk83EMqISEBOjo6sLW1hUQiwbVrFcv79dNVmWvsady9exchISHYvHkzunbtWi/b1CbslaZ+zLn6MecVhgwZgiFDhiAtLQ0XL17EhQsXcPHiRVy8eBF5eXlo0aKF+Lf1zz//xMsvv4yuXbuKj7Zt29b6mpI5Vz/mXP2Yc/VrjjlnYYuIiJoUqVQKf39/+Pv7Y+bMmSgqKkJoaKjKhUZiYiKWLFkCADAwMEC3bt3Qs2dPPPPMM/Dx8WmWd7oQNXampgL8/Mrh51de7friYiAxsbLQ9W/RKzGx4pGUJENJiQQpKTKkpMhw+XL1+9HVFWBv/2+hq7IIVvFVCQcHBSwtWfwiaopGjhyJoUOHis8rzwfS0tJQXl79356GJpFIYG9vj+TkZJVi/4IFC/DDDz9g/vz5mDdvHv74wxqALtq0yUJSUvFT7/fevXt4/vnnkZKSgtdeew379+9vNudHNeWcGg5zrn7Mec06dOiADh06YM6cOVAoFIiIiICDgwOSkpIAAEePHkV0dDSio6Oxa9cuABXD5rdu3Rrt27fH5MmTVXoMV2LO1Y85Vz/mXP2aWs51dHRqfVMZC1tERNSkGRoaomfPnirLSktLMXr0aJw+fRqpqak4efIkTp48CaDiLpf58+dj3LhxmgiXiJ6QgQHg6amAp2f1c3wJQsUcNAkJ/xa7Hv4+JUWKsrJ/h0SsiZ6eADu7ioKXg4MC9vbKB76v+GpnpwSnYyCqf+bm5gCAnJwcWFhYiMtzcnLg7u4utsnNzVV5nUKhQH5+vvj66ujq6kJXt/oen5r+oEAQBJUY7t+/DwBwdXVFVhZw61bFH5wuXUqeOtZ79+5hzJgxSEtLg5+fH7799lsxhubk4ZxTw2PO1Y85fzSpVAofHx8A//4NfPHFFxEYGKgyX1dmZiYuXbqES5cuYeTIkWLbM2fO4Pr162jfvj0CAwPF7TDn6sWcqx9zrn7NMee83CYiombH3d0da9asgSAIuH37Nk6fPo3Tp0/jwoULSE5OFufTAIDw8HBs27YN3bp1Q9euXetteB8iUi+JBLCyUsLKSok2bcqqbVNeDqSkSMVi14NFr6QkGZKTZUhLk6K09PHFL6lUgI3NwwUvJeztK763s6soiJmYNK+LD6KnZWtrC3Nzc1y/fl0sZBUWFiIiIgL9+/cHAPj4+KCgoACRkZHw9PQEUPH/XBAElfk5tVlkZCQAwMvLC3//rQdBkMDLqwy2tsqn2u6dO3fw/PPPIz09HX5+ftizZw8sLS3rI2QioibB1NQUwcHBCA4OBlDxYXJMTAzCwsJw+fJl+Pn5iW0PHDiAHTt2AKgYErd169Zo2bIlAgIC4O/vj3bt2tV4QwURET0aC1tERNRsSSQS+Pn5wc/PD6+88gqKi4sRGhqqMiH9yZMn8cMPP+CHH34AUFEUCwoKQteuXdGtWzc4OjpqKnwiqmc6OoCTkxJOTkoA1Re/ysqA1FQZEhOlYrErKamy8FWxLCVFhrKyf4c9vHKl5n0aGythZ6f8/0JXRbHLzu7fwpednQK2tgo8UG8navKKi4uRnJwsPk9NTUV0dDRMTExgbW2NwYMH4+eff4aDgwNsbW2xa9cuWFhYoFOnTgAAZ2dntG3bFhs2bMD06dNRXl6OzZs3IygoqEkUafLy8pCamgoA8PT0xC+/VAy33LVr1d6qdXHr1i2MHTsWGRkZ8Pf3x65du5pEvoiIGpJEIoG7uzvc3d0xatQolXWdO3dGdnY2wsLCkJycjCtXruDKAyeGN2/eFOeMPHPmDMrKyhAQEABbW1t1HgIRkVZiYYuIiOj/GRgYiHfeVQoKCsKMGTNw4cIFhIeHi+OpV955d/DgQbRt2xZAxRCHenp66g6biNRIVxdwcqqYf6um4pdSCWRkSMViV+UcX5VFsJQUKVJSZMjLk6KgQIrISCkiIx99Wm5u/m/B68FCmI1NRWHM1lYBW1slDA3ZA4y03/3797F48WLx+bZt2wAAzzzzDObMmYMRI0agpKQEGzZsQGFhIVq2bIl3331X5X/w3Llz8e233+J///sfJBIJunTpgilTpqj9WBpCZW8tW1tbmJqa4sKFiuPu1u3pClvr1q1DRkYGWrdujZ07d6oM9UhERHU3ZswYjBkzBgCQlJSEmJgYnDlzBuHh4cjJyRGLWgDwxRdf4Ny5cwAq/r5Xzhvt7++PgIAAeHh4NJu5DomIaoOFLSIiokeonDwYAHJzc/H333/j/PnzOH/+PCIjI+Hv7y+2XbhwIU6fPo1u3bqJD2dnZ02FTkQaIpUCNjZK2Ngo8UAH0CoKCiRikSslpaIIVvG99P+fVywrLpYiO7vicefOo4erMTVV/n+xq6KnV2Xhy8ZGofLVwkIJfjZCjZW/vz/27NlT43qJRIKxY8di7NixNbYxMTHB66+/3hDhaVzl/Fqenp7IzZUgPLzi70LXriVPtd2VK1fCysoKb7zxxiPnIiMiorpzdHREhw4d0K1bt2rnwfHy8kJqairu37+P1NRUcS5oALCyssLVq1fFtqdPn4alpSV8fX05lCERNVssbBEREdWSXC5Hv3790K9fPwAVQyU9eCERGhqK2NhYxMbGYvfu3QAAFxcXdOnSBZ07d8b48eN5lx0RiYyNBXh6KuDpqaixjSAAubmShwpfFd+npsqQmlrxNSWlogCWl1fxeFwPMF1dAdbWFQUwGxsl3N0BY2MTWFsrYG2t/P/CXMU6U1OBRTCiRqSysOXl5YXQUD0olRK4u5fDwaHu82slJCTA0dEREokEBgYGWLRoUT1HS0REtfHJJ58AqJg38tatWwgPD8eNGzdw48YN2NraqlxH/uc//0FiYiL09fXRqlUrBAYGok2bNggMDIS3tzd0dPhxLxE1ffxLR0RE9IQMDAxUnu/fvx+hoaG4cOECzp07h2vXriEuLg5xcXEICwvDhAkTxLY//fQT7O3t0a5dOxgZGak7dCLSEhIJYGYmwMysHD4+NbcTBCA/v6IHWFpaRcErJUWGtLR/v1YWwLKyKuYAq5wb7F+m1W5bX1+AtbVC7IVmY/Nv8evf5RVf5XIWwYgaWpcuXTBt2jR06dIF589Xzq9V995a165dwwsvvIBx48bh/fff5803RESNgJGRkcqoIQBUeniVlJTAw8MD+fn5yM3NxeXLl3H58mVxfdeuXfHTTz+Jz2NiYuDi4gKpVKqeAyAiUhMWtoiIiOqJqakp+vTpgz59+gAA8vPzERoair///htyuVxsV15ejv/+978oKCiATCaDv78/OnXqhA4dOqBTp05wdHTU1CEQkZaSSABTUwGmpgp4e9fcAwwASkuBtLR/C2CpqTooLjZDZGTB/y+vWJeeLkV+vhQlJRIkJOggIeHxcejpCdiwIRP9+z/dkGhEVLOePXuiZ8+eAIB16yrm1+ratW7za125cgXjx49HTk4OQkNDUVxcDENDw3qPlYiInt6DNx7o6+tjz549EAQB0dHRuHbtGq5evYpr167h2rVraNmypdi2qKgIwcHBMDQ0ROvWrcVeXW3atIG7uztvaCAircbCFhERUQMxMTFB79690bt3b5XleXl56Nu3L0JDQ5GUlCRehHz77bcAgFGjRuHLL78U2ysUCshkMhAR1Qc9PcDJSQknp4phyySSUjg4mCEpKbfKnA9FRUB6ukwsdlUWviqXpadX9ARLT68YArG0VAJT06rzRhBR/cvPl+DatYohkbt1q31hq7IXeW5uLjp16oTt27ezqEVEpGUkEgk8PDzg4eGBESNGAACUSiUKCwvFNtHR0dDV1UV+fr44T3QlMzMzzJw5E3PnzhVfKwgCrzuJSGuwsEVERKRmFhYW+PrrrwFUzG3xzz//iI8bN27A09NTbJuSkoIePXqgbdu26Ny5M/r27QtXV1dYW1trKnwiakYMDQEXFwVcXBQAyh7ZtqgIyMiQwcrq0T3GiOjJ5efn4/bt2/Dy8sLVq/ZQKCRwcSmHs3Ptfu/++ecfTJw4EXl5eejSpQu2bdsGExOTBo6aiIjUQSqVqvxN9/Pzw507dxARESH26rp69Spu3ryJnJwclZsa7t27h6FDh8LPzw/+/v7w9/dHQEAAfH19efMDETVKLGwRERFpkJOTE5ycnMS77AoLC1Fa+u9d15cuXUJhYSHOnTuHc+fO4fPPPxdf17ZtW0yaNAnBwcGaCJ2ISIWhIWr94ToRPZkrV65g7Nix8PT0xODBVwDUfhjC0NBQTJw4Efn5+ejWrRu+++47GBsbN2C0RESkaTo6OmjZsiVatmyJsWPHAgDKyspw584d2NjYiO1u3LiBwsJCXLp0CZcuXRKXS6VSeHt74+2338agQYMAVMz5xWEMiUjTWNgiIiJqRIyMjGBkZCQ+HzhwIE6cOIHQ0FBcunQJ4eHhuHXrFhISEpCQkICBAweKba9du4YtW7YgMDAQ7dq1g5+fH/T09DRxGERERNQA7t+/DwDw9PTEhQv6AIBu3Wo3p93ff/+NoqIiBAUF4bvvvlM53yAiouZDV1cXAQEBKstGjBiBNm3aIDw8HDdu3MCNGzcQHh6OjIwM3L17V2WIwqNHj+K9995T6dnl7+8PV1dXFryISG1Y2CIiImrEpFIpfH194evri0mTJsHBwQF3797F1atXcfXqVXTp0kVse+7cOezZswd79uwBAOjp6cHf3x9t27ZFYGAg+vbtC0tLS00dChERET2lysKWm5sXTp2qmF+rtj225syZg2eeeQZeXl4cVoqIiFTIZDJ4e3vD29sbISEhACp6ZqWkpODGjRto37692PbGjRtISkpCUlIS/vjjD3G5qakp/P39sWjRIrRu3Vrdh0BEzQwLW0RERFrG1NQU3bt3R/fu3VWWd+vWDW+88QauXLmCK1euIDs7G5cvX8bly5cBAAcOHBALW5cvX0ZsbCwCAgLg4eEBqVSq9uMgIiKiuomMjAQASCQ+KCuTwMFBAVfX2g8B+vAd+kRERDWRSCSwt7eHvb29yvLp06ejR48eKr277ty5g7y8PFy4cAEGBgZi2y1btmDXrl0qPbtatWoFU1NTdR8OETUxLGwRERE1EYGBgQgMDARQcXddTEwMrl69isuXL+P69evw9/cX2+7Zswfbtm0DABgbG6NVq1YICAgQHy1btoSODk8TiIiIGpPKwlZ2th+AimEIHzXqU3x8PObNm4clS5bA19dXHSESEVETZ2pqis6dO6Nz587isrKyMty7dw/h4eHw8PAQl4eFhSE8PBzh4eHYvXu3uNzd3R3+/v5YsmQJbG1t1Ro/ETUN/MSKiIioCZJIJHB3d4e7uztGjBhRZb2bmxvatWuHW7duoaCgAKGhoQgNDRXXX79+XezdFRoaCqVSCX9/f5iYmKjtGIiIiOhfJSUliIuLAwBERrYC8OhhCJVKJd58802cO3cOH3zwgcoHikRERPVJV1cXrVq1QqtWrVSWv/POOxg8eLDYuys8PBxJSUmIjo5GXFwc1qxZI7b95JNPcO3aNfj7+6Nly5bw9fWFt7e3Sg8wIqJKLGwRERE1QzNnzsTMmTNRXl6OyMhI8S668PBwZGVlqczF9emnn+LMmTMAKu6se7BnV0BAAGxsbDR1GERERM1GdHQ0lEolTExMEB7uAgDo2rWkxvbbtm3DX3/9BUNDQ3zyySfqCpOIiEjk5OQEJycnDBo0SFyWmZmJGzduID4+XmXOx7/++gthYWE4deqUuEwqlcLNzQ1+fn5Yv349ZDIZgIoRSiSP6rJMRE0eC1tERETNmI6ODnx8fODj44NRo0ZV28be3h4ODg7inXXR0dH47bffAADm5uYIDw8XLypOnToFuVwOX19fGBkZqe04iIiImjpLS0ssWbIEt2+XYvt2KWxtFfD0rH5+raioKCxZsgQA8N5776kMC0VERKRJlpaWCA4OrrJ86dKluHbtmjhn1507d5CdnY2oqCiUlpaKRS0AmDhxIhITE+Hj44OWLVvCx8cHvr6+cHd355D6RM0Ef9OJiIjokT7//HMAQEZGBm7cuIHr16+LvbucnJxU7pRbsGAB4uLiIJFI4ObmBl9fX3EYCX9/f3h7e2voKIiIiLSbjY0NXn75ZXz2WcWwwF27llY7v5ZCocCbb76JoqIiBAUF4cUXX1RzpERERHXXpk0btGnTRnwuCAJSU1Nx584dFBQUqLQNDw9Heno67t69K950CQB6enro3LmzyvC7ycnJsLKyYsGLqInhbzQRERHVipWVFXr27ImePXuKyxSKf+8ULy8vh7u7O4qKipCeni727jpy5AgAoF27dioXHd9//z0cHBzQsmXLKgUyIiIiqt758/oAah6GcNOmTfj7779hbGyMzz77DFKpVJ3hERER1QuJRAI7OzvY2dlVWXfo0CHcvXtX7NlV+X1RUREEQVBpO3ToUKSnp8PT0xMtWrRAixYt4O3tDR8fH3h6ekJfX19dh0RE9YiFLSIiInpiDw4HoaOjg127dgEA0tPTcfv2bdy5cwe3b9/G7du30b59e7FtcXEx3nvvPbEwZmJiAl9fX/j4+MDb2xvt27dH586d1XswREREjdjJkydhbGyBS5d6AwCCgkqrtBEEAcePHwcAfPDBB3BxcVFrjEREROpQOXdX7969xWVKpRLx8fEoKioSlxUVFSErKwulpaXidemDOnfujH379onPf/vtNzg7O8Pb2xsmJiYNfyBE9MRY2CIiIqJ6Z21tjR49eqBHjx7Vri8sLMSwYcNw584dREREID8/H5cuXcKlS5cAAM8995xY2CovL8err74KLy8v8e46Ly8vlYmGiYiImrq5c+ciMzMTQBisrdvA27u8ShuJRIKdO3fi119/xYgRI9QfJBERkYZIpVK4urqqLDM0NMS9e/cQHx+Pu3fv4t69e4iIiMDdu3cRERGhMlR+UVERZs6cKfb4cnBwEHt4tWjRAu3atUNAQIBaj4mIasbCFhEREamdpaUlvvrqKwBAaWkpIiMjxSJXREQEgoKCxLYxMTH49ddfq2yj8k66kSNHYvTo0QAgXoRwWEMiImpKsrKy/r+oBQAt0KVL9fNrARW9qUNCQtQVGhERUaMmlUrh4uICFxcX9O3bV1wuCAJKSv4d1jcnJwfdunVDREQEUlNTkZSUhKSkJJw+fRoA8Pzzz2P16tUAgJKSErzxxhvw8PCAh4cHPD094eHhAUtLS/UeHFEzxsIWERERaZSenh5atmyJli1bVrteLpfjgw8+EIte9+7dQ1ZWFuLj4xEfH48OHTqIbePi4jBo0CB4eXnBw8MD7u7u4kWGu7s75HK5ug6LiIio3ty/fx8AoKfniNJSE3Trlq2y/vbt29i7dy/eeustGBgYaCBCIiIi7SKRSFT+Z9rb2+PHH38EAGRnZ+PevXsqjweH1o+NjcWBAweqbNPc3BweHh4YO3YsJk2aBKBiiMSCggKYmpo28BERNS8sbBEREVGjZmNjg1deeUVlWWZmpjiMRGBgoLj83r17yM7OVhnW8EELFizA3LlzAVTc/X769GnxLjteaBARUWMVGRkJACgvr7gJpGvXf+fXKisrwxtvvIHr16+juLgYS5Ys0UiMRERETYW5uTk6deqETp06VbvezMwMCxcuRFRUFCIjIxEVFYWkpCRkZ2fj8uXLKj3DoqOjERwcDBsbG5WbLh/8amxsrK5DI2oyWNgiIiIirWNpaYkuXbqgS5cuKsu7d++Oo0ePihcXUVFRiI6ORlRUFNLS0uDg4CC2vX79OmbPni0+t7KyUrm46N+/P/z9/dV2TERERDWp7LGlVPrC3FwJX99/59dau3Ytrl+/DnNzc7z22muaCpGIiKjZsLW1xcyZM1WWFRUVidegLVq0EJfHxsYCANLS0pCWloaLFy+qvO4///kP3nzzTQBAamoqdu7cqVL44qgjRNVjYYuIiIiaDAMDA/j7+1dbkMrLy4NMJhOfS6VSdOrUCdHR0UhLS0NGRgYyMjLwzz//AKiYLLhyOxcuXMAHH3wAV1dXuLi4qHx1dnaGoaGheg6QiIiapcoeW4APunYtgVRa8Sw8PByff/45AGDJkiWws7PTSHxERETNnaGhIVq1aoVWrVqpLO/Vqxdu3bolFr0qb8KMjo5GdHQ03NzcxLY3b97EihUrVF5vaWkJd3d3uLu7Y9y4cejevTuAijnCOLc0NWcsbBEREVGz8PBQgz169ECPHj0AVBS9YmJiVC4yAgICxLb3799HeHg4wsPDq9322rVrMXLkSAAVQ01cuHABLi4ucHNzg4ODg0pBjYiIqK4qe2wBvuIwhKWlpXjjjTdQXl6OwYMHIyQkRGPxERERUc3kcjkCAwNVhtGvJAiC+L2FhQXGjBkjFr3S0tKQmZmJzMxMhIWFoWfPnmLbM2fOYObMmVVuvnRzc4OLiwtcXFygr6+vluMj0gQWtoiIiKjZMzU1RUBAgEox60H9+vXD1q1bERsbi9jYWMTFxYlf8/PzVe6QP3fuHObPny8+19HRgZOTE1xcXODo6IipU6eK+ykqKgIA9vgiIqJHev/9DzBlShJKS9ujW7cSAMDq1atx69YtWFpaYtmyZbxrm4iISAs9+P87MDBQ7IkNAPn5+WKRKzo6Gh06dBDXRUVFIScnB9evX8f169erbHf16tV4/vnnAQC3b9/Gb7/9BldXV7EA5uDgAGllF3AiLcTCFhEREdFj2NnZ4dlnn62yXBAEZGVlqUz2a2VlhV69eiE2Nhbx8fEoLS1FTEwMYmJiAABjxowR2+7btw/z58+HpaUlnJycxIejoyMcHR0RFBQEa2vrhj9AIiJq1Cwtn0VpqTXkciX8/JKRm5uLbdu2AQA++eQT/q8gIiJqgkxMTGq8AfP5559H165dERMTI954+eBNmK6urmLbf/75B6tXr1Z5vZ6eHpycnODq6oo333wTHTt2BADk5uaiuLgYNjY2vGmGGjUWtoiIiIiekEQigaWlpcqyAQMGYMCAAQAApVKJ5ORkxMXFIS4uDgkJCSoTCScnJwOAOLzEw3fa7dmzR/yw8sCBA9i2bRscHR3h4OAAe3t7lYetrS2HPCQiaqLOn9cDAHTuXAqZrGJIo6NHj2L//v0YMmSIhqMjIiIidTM0NISvry98fX2rrBMEQWWIQ09PT0yYMEEsfiUkJKC0tFSc9+u1114T2x44cAALFiyAgYEBHB0d4eLiAmdnZzg7O8PFxQU9evSAjY2NWo6R6FFY2CIiIiJqIFKpVOx91aVLlyrr582bh6lTpyIhIUF8JCYmit8/eJfdnTt3cP78+Rr3tXfvXnTr1g0AcOrUKRw9elQsetnZ2YnFsIfnGiMiosbt77//xr59twF0R7du//bMcnJywuzZszUXGBERETVKEolEpbdVUFAQgoKCxOfl5eVITk4We3u1bNlSXJednQ2JRILi4mJERkYiMjJSZdt79+4VC1u//vortm/fDhcXF7H3V2BgIPT19WFnZwc9Pb0GPlJqzppdYevw4cP49ddfkZ2dDTc3N0yZMgXe3t41tj9//jx2796NtLQ02NvbY8KECWjfvr0aIyYiIqKmSiKRwMzMDGZmZmjVqtUj244aNQotWrRAQkICkpKSkJycLD5SU1Nhb28vtr148SK2bt1a7XaMjY2xe/dutGvXDgAQGhqKy5cvw87ODjY2NrC1tYWNjQ3kcjmHniAiagS++24bwsO/ArAAFhbP4M8/s9CrVy9Nh0VERERaSkdHR+yF9bBXX30VM2bMQFJSkjjqyIMjkDx48+WNGzdw9uzZavchkUiwb98+dOrUCUDFdeelS5fg4OAg3vxpZ2cHHZ1mV56getKs3jnnzp3Dtm3bMH36dLRo0QIHDx7E0qVL8fnnn8PMzKxK+zt37mDNmjUYP3482rdvj7Nnz2LlypVYvny5yi8xERERUUPz8vKCl5dXtesUCoVKEap79+7iMIgPPvLy8lBQUABzc3Ox7cmTJ7FmzZoq29TX14eNjQ02b94Mf39/AMDly5cRHh4uFr9sbW1hbW0NAwOD+j1YIiIShYXdBQDo6bnhiy9mIzo6Gp9//rnKnI1ERERE9UVPTw9ubm5wc3N7ZLvnnnsOXl5eiI+PFx9JSUmIj49HSUkJbG1txbYnTpzAF198ofJ6qVQKW1tbODg4YPXq1eKw/TExMcjIyBCH3Gfxi6rTrN4Vv/32G/r27YvevXsDAKZPn46wsDCcPHkSISEhVdofOnQIbdu2xfDhwwEA48aNw/Xr13H48GHMmDGj1vstLi5GSUlJvRzDk5BIJCgoKEBhYaHK+KrUcJhz9WPO1Y85Vz/mXP20Neft2rUTe2Q9qKCgAMnJybC0tERhYSEAwN3dHUOGDEFaWhrS0tKQnp6OvLw8lJSUID4+HlKpVGx76NAhrFu3rsp25XI5rKys8OWXX4pjvFcWwSwtLWFpaQkrKytYWlrCwsLikXOBaWvOtVlTy7m+vr6mQyCqV3fu3AEAmJkdQ3R0NOzt7dG/f38NR0VERETNXYsWLVTmkJZIJHBwcEBiYiLS09NhYWEhrvPz88PIkSORmJiIxMREJCcno6ysTLwJ88Fz+J07d+LLL78EUFH8srGxgZ2dnTjU/muvvQZHR0cAFUMnAoCZmRlHHGlmmk1hq7y8HJGRkSoFLKlUitatW+Pu3bvVvubu3bsYOnSoyrLAwECEhoZW276srAxlZWXic4lEAkNDQ4wYMQKXL19++oMgIiIiUrN+/fo9tk1ubi5yc3OrnDcRaUK7du0QFham6TCI6kVRURGysmIBAGlp+wAAn376abUjjhARERE1BhKJBNbW1irLhg8fLnYeAQClUon09HSx0OXg4CCu09fXh6OjI1JTU1FeXo6UlBSkpKTg2rVrAIBZs2aJbb/++musXbsWBgYGYuGrcp5pe3t7jB49GpaWlgAqRjp51E2WpF2aTWErNzcXSqVSZegdADA3N0diYmK1r8nOzq5ywWBmZiZWgh+2b98+7N27V3zu4eGB5cuXP1XcRERERERE9GTqOsdyY3P/ftT/fycFoMSECRM4vxYRERFpvcphCG1tbdG2bVuVdfPmzcO8efOgVCqRkZGB5ORkJCUlISUlBcnJybCzsxPb5uTkAKgYMS06OhrR0dEq2xo0aJBY2Fq+fDm2bt2qMrd0ZQy2trYYNGiQWAsQBIE9wBq5ZlPYUoeRI0eq3Klc+ebfv38/SktLNRUWJBIJ7OzskJKS0iSGl9EGzLn6Mefqx5yrH3Oufsx5/SovL0dWVhYyMjLg5eUFXV1dAMDRo0dx+vRppKenIzMzE3l5eUhPT0d2djYEQcDx48fF8d1XrVqF9evX17iPn3/+GW3atAEA7NixA9u2bYNcLoeZmRnMzMxUvh88eLA47ntOTg5KSkogl8ub3ZxhTe19rqenp+kQqJGo6xzLNdHk0PInTlSOLqKEg4Mj3nrrLXF4WGoYTW14Vm3AnKsfc65+zLn6Mefq1xA5NzY2rjLftEKhEM+HPvjgA8yfPx+pqalITU0Ve3dVPkxMTMS2iYmJKCgoQEFBQZUCGAB06NBBvEZdtWoVfvzxR9jY2MDGxgbW1tawsbGBlZUVrK2t0adPH5iamgLQbBGsqb3P6zKsfLMpbMnlckil0iq9rbKzs6v04qpkbm4uVn0r5eTk1NheV1dXfPM/yMDAQKPdHCUSCYyNjWFoaNgk3uDagDlXP+Zc/Zhz9WPO1Y85r3+mpqZwdXVVWTZixAiMGDECwL/jsiclJUGhUCA3NxempqbiudSgQYNga2uLrKysah+Ojo4wNDQEAKSmpiIiIqLGWIKCgsSC2datW7FkyRIAFedulcWvyse7774rzh8WHh6Oy5cvQy6Xw9TUFKampuL3crkcxsbGWnV3X1N7n1d3Pk7NU13nWG7sQ8snJSVWO38iEREREVXv0KFDtW5bXa/4zMxMcb5Tanh1GVa+2RS2dHR04OnpifDwcHTu3BlAxVie4eHhGDhwYLWv8fHxwfXr1zFkyBBx2bVr11QmxSMiIiKihiGVSqvcUNSxY0d07NixVq+fPHkygoODkZOTIz6ys7PF7yt7awEVPTKkUimUSiWKi4tRXFyMlJQUcf2bb74pfn/69GksXbq0xv3u3LkTPXv2BAAcPHgQ3377rUrhy8TEBMbGxjAxMcGAAQPg5OQEoOKiKT09XVxnYmLCMeCJntCTzLHMoeWJiIiIiLRDsylsAcDQoUPx1VdfwdPTE97e3jh06BBKSkrEauzatWthaWmJ8ePHAwAGDx6MRYsW4ddff0X79u3x119/4f79+5gxY4YGj4KIiIiIasPJyUksGj3OvHnz8PrrryM/P7/aItiDvczc3NwwcOBA5ObmIjc3F3l5eeLX8vJyyOVysW1sbCwuXrxY4369vb3FGA8dOoQFCxaorDc0NBQLYcuXL0ePHj0AAP/88w/27NkDIyMjGBsbw9jYGEZGRuKjQ4cO4gTMhYWFyM3NFdfp6DSrSwBqpp5kjuXGOLR8fLwMN2/awMsrDV5eCo3E0Nw0teFZtQFzrn7Mufox5+rHnKtfc815VlYWUlNTkZGRUeWRnp6OL7/8Uhxi76233sIvv/xS47bOnj0Le3t7AMDHH3+MzZs3A6g4hzU3N4eFhQUsLCxgZWWFN998E7a2trCzs8OFCxeQnp4utjMzM9PKkSzqMqx8s7qqDQoKQm5uLvbs2YPs7Gy4u7vj3XffFS920tPTVYaN8fX1xdy5c7Fr1y7s3LkTDg4OmD9/fpXhc4iIiIhI+0mlUsjlcsjlcri4uNTYbsiQISo9+isJgoDi4mKVC4gBAwbA2dlZLH7l5uYiPz8fBQUFyM/Ph6Ojo8o2zM3NUVBQIA6HVlRUhKKiIqSlpUGpVIrt7ty5gx9++KHGGDdu3CjGeOzYMcyePVtcp6+vLxa5jI2N8d5772Hy5MkAgOvXr2PTpk0wMjKCoaFhlUeXLl3E8e1zc3MRExOjsl4ul7NwRlqrMQ4t7+MjwTPPGCMpKbdZfUCkSU1teFZtwJyrH3Oufsy5+jHn6tdcc25oaFjluq4mq1atwoIFC5CWlobMzExkZmYiKytL/N7R0VEsgj04RHZ2djays7NV5gZ75513YGhoCGNjY+zZswcbN25U2ZepqalY6Prmm2/Ea9xz584hPDwcFhYWYrHM3NwclpaWsLS0fMpsPJ26FOOa3VXnwIEDaxx6cNGiRVWWdevWDd26dWvgqIiIiIhI21XOx/MgT09PeHp61ur1EydOxMSJEwEAJSUlKCgoQF5enlgI8/HxEdu2bt0ab731FgoLC8XJggsKClBUVISCggKVYRZLS0shk8mgUCjEbZeUlCArKwtAxTCMlaKjo1WGYnvYp59+Kha2Ll26JMZbaffu3WKvMiJNepI5lomIiIiIGpKhoSFcXV1r1XHmk08+wZIlS5CdnS0WvjIzM5GRkYHMzEyVIpSpqSnc3d3FAhgA5OXlIS8vD3FxcSoFoyNHjmDTpk1V9mdtbY2rV68+/UGqSbMrbBERERERNXb6+vrQ19ev8Y65Nm3aoE2bNrXa1pgxYzB69GiUlJSgsLBQfBQUFKCgoAAtW7YU2/r5+eH9999HUVERCgsLxR5jlY8He7JJJBLY29ujuLgYRUVFKCkpqVLYI9KUJ5ljmYiIiIioMdHR0YG1tTWsra0f2e4///mPOC+0QqFATk4OsrKykJ2djaysLFhZWYltAwICMGLECHFd5VcLC4sGPZb6xsIWEREREVETJ5FIYGBgAAMDgyrFsgeH4vb29oa3t3etttmrVy9cunRJfK5QKFS2RaRpj5tjmYiIiIioqZHJZI8cVnDMmDEYM2ZMleWVI3xoCxa2iIiIiIjoqWlqDiKimjxujmUiIiIiIqqgbddzLGwRERERERFRk/SoOZaJiIiIiEg7STUdABEREREREREREREREVFtsLBFREREREREREREREREWoGFLSIiIiIiIiIiIiIiItIKLGwRERERERERERERERGRVmBhi4iIiIiIiIiIiIiIiLQCC1tERERERERERERERESkFVjYIiIiIiIiIiIiIiIiIq3AwhYRERERERERERERERFpBRa2iIiIiIiIiIiIiIiISCvoaDqA5kBHp3GkubHE0Zww5+rHnKsfc65+zLn6Mefqx5yrX1PJeVM5Dmo8GsN7qjHE0Nww5+rHnKsfc65+zLn6Mefqx5yrX1PJeV2OQyIIgtCAsRARERERERERERERERHVCw5F2AwUFRVhwYIFKCoq0nQozQZzrn7Mufox5+rHnKsfc65+zLn6MedEjRd/P9WPOVc/5lz9mHP1Y87VjzlXP+Zc/ZpzzlnYagYEQUBUVBTYOU99mHP1Y87VjzlXP+Zc/Zhz9WPO1Y85J2q8+Pupfsy5+jHn6secqx9zrn7Mufox5+rXnHPOwhYRERERERERERERERFpBRa2iIiIiIiIiIiIiIiISCuwsNUM6OrqYvTo0dDV1dV0KM0Gc65+zLn6Mefqx5yrH3Oufsy5+jHnRI0Xfz/VjzlXP+Zc/Zhz9WPO1Y85Vz/mXP2ac84lQnMcgJGIiIiIiIiIiIiIiIi0DntsERERERERERERERERkVZgYYuIiIiIiIiIiIiIiIi0AgtbREREREREREREREREpBVY2CIiIiIiIiIiIiIiIiKtwMIWERERERERERERERERaQUWtoiIiIiIiIiIiIiIiEgrsLBFREREREREREREREREWoGFLSIiIiIiIiIiIiIiItIKLGwRERERERERERERERGRVmBhi4iIiIiIiIiIiIiIiLQCC1tERERERERERERERESkFVjYIiIiIiIiIiIiIiIiIq3AwhYRERERERERERERERFpBRa2iIiIiIiIiIiIiIiISCuwsEVERERERERERERERERagYUtIiIiIiIiIiIiIiIi0gosbBEREREREREREREREZFWYGGLiIiIiIiIiIiIiIiItAILW0RERERERERERERERKQVWNgiIiIiIiIiIiIiIiIircDCFhEREREREREREREREWkFFraIiIiIiIiIiIiIiIhIK7CwRURERERERERERERERFqBhS0iIiIiIiIiIiIiIiLSCixsERERERERERERERERkVZgYYuIiIiIiIiIiIiIiIi0AgtbREREREREREREREREpBVY2CIiIiIiIiIiIiIiIiKtwMIWERERERERERERERERaQUWtoiIiIiIiIiIiIiIiEgrsLBFREREREREREREREREWoGFLSIiIiIiIiIiIiIiItIKLGwRERERERERERERERGRVmBhi4iIiIiIiIiIiIiIiLQCC1tERERERERERERERESkFVjYIiIiIiIiIiIiIiIiIq3AwhYREWmF0NBQBAUFwdjYGBKJBFeuXMHWrVshkUgQHR392NcvWrQIEomk4QMl+n+V77n09HRNh0JERERE1Kjx3Ln54M+aiOoDC1tE1CTcv38fr7zyCjw9PWFgYAC5XI7u3btjzZo1KCoq0nR49JTKysowZswYZGZmYvXq1fj+++/h5uam6bC0VlRUFF599VX4+PjAyMgIRkZGaNWqFebMmYNr166ptK0sHlY+DAwM4OjoiAEDBuCLL75AXl5ele1X9xofHx+8+uqrSElJUddhqsW5c+ewaNEiZGdnazoUIiIiImogtT1/5rnz4zXm82deJ9WfxvxzJqKmQUfTARARPa2DBw9izJgx0NfXx+TJkxEQEIDS0lKcPXsW8+fPx40bN7Bx40ZNh0lP4f79+4iJicE333yDadOmicsnTZqEcePGQV9fX4PRaZfffvsNY8eOhY6ODiZMmIDAwEBIpVLcvn0bP//8M77++mtERUVVKRz+73//g4eHB8rKypCcnIw///wTb7zxBj777DMcOHAAbdq0qbKvytcUFxfj7Nmz+Prrr3Ho0CGEh4fDyMhIXYfcoM6dO4fFixfjpZdegrm5uabDISIiIqJ69iTnzzx3rlljPX/mdVL9aqw/ZyJqOljYIiKtFhUVhXHjxsHNzQ0nTpyAg4ODuG7OnDmIiIjAwYMHNRihdigoKICxsbGmw6hRamoqAFQ5IZbJZJDJZBqISDvdv39f/H05fvy4yu8LACxfvhzr1q2DVFq1Q/egQYPQsWNH8fl///tfnDhxAkOHDsXw4cNx69YtGBoa1viaadOmwcrKCp999hn279+PF154oQGOUFVjf18TERERUeP2pOfPPHfWLrxOIiLSPhyKkIi02ooVK5Cfn49vv/22ysknAHh7e+P1118Xn1++fBmDBg2CXC6HiYkJ+vbtiwsXLqi8pnK854iICPHuIjMzM7z88ssoLCxUaZuXl4c33ngD7u7u0NfXh62tLZ599lmEhYUBAF566SW4u7tXiau6+Z4ql929excTJ06EmZkZbGxssHDhQgiCgLi4OIwYMQJyuRz29vb49NNPq2w3ISEBU6ZMgZ2dHfT19eHv74/NmzdXu5+bN29i/PjxsLCwQI8ePR6d6Gr2M3XqVDg6OkJfXx8eHh6YNWsWSktL6z3XL730Ep555hkAwJgxYyCRSNCrVy8AqHGOrbNnz6JTp04wMDCAl5cXNmzYUONxPC5ftY2zLrmp7X7r24oVK1BQUIAtW7ZU+/uio6ODuXPnwsXFpVbb69OnDxYuXIiYmBhs3769Vu2BioJ0bf3555/o2LGjys/yUb8/1b2va/NevHbtGiQSCQ4cOCAuu3TpEiQSCdq3b6/SdtCgQejSpQsWLVqE+fPnAwA8PDzEIUUefj9mZ2c/9n1DRERERI1PfZ4/q+PcGajd+fPjrgkfd/78JOfOlft93PmzJs6dm+t1EtAwP2teJxGROrDHFhFptV9//RWenp4ICgp6bNsbN24gODgYcrkcb7/9NnR1dbFhwwb06tULp06dEk+2Kz3//PPw8PDAsmXLEBYWhk2bNsHW1hbLly8X28ycORN79+7Fq6++ilatWiEjIwNnz57FrVu3qpzk1dbYsWPh5+eHTz75BAcPHsSSJUtgaWmJDRs2oE+fPli+fDl++OEHvPXWW+jUqRN69uwJAEhJSUHXrl0hkUjw6quvwsbGBr///jumTp2K3NxcvPHGGyr7GTNmDFq0aIGPP/4YgiDUOr7ExER07twZ2dnZmDFjBlq2bImEhATs3bsXhYWF0NPTq9dcv/LKK3BycsLHH3+MuXPnolOnTrCzs6sxvuvXr6N///6wsbHBokWLUF5ejg8//LDKa+qar8fFWdvcPMl+a2PhwoVwdXXF9OnTa2zz22+/wdvbu0r+n8akSZPw7rvv4ujRo4/cN1BxJyQAWFlZ1Wrbly9fxsCBA+Hg4IDFixdDoVDgf//7H2xsbGp8zcPv69q+FwMCAmBubo7Tp09j+PDhAIAzZ85AKpXi6tWryM3NhVwuh1KpxLlz5zBjxgyMGjUKd+/exc6dO7F69WpYW1sDQJX4avO3hIiIiIgan/o+f27Ic2eg7ufP1V0T1ub8+UnOnQHU6vy5vs+deZ1UQZ0/a14nEZFaCEREWionJ0cAIIwYMaJW7UNCQgQ9PT3h/v374rLExETB1NRU6Nmzp7jsww8/FAAIU6ZMUXn9yJEjBSsrK5VlZmZmwpw5c2rc54svvii4ublVWV65j+qWzZgxQ1xWXl4uODs7CxKJRPjkk0/E5VlZWYKhoaHw4osvisumTp0qODg4COnp6SrbHTdunGBmZiYUFhaq7OeFF16oMe5HmTx5siCVSoXQ0NAq65RKpSAI9Z/rkydPCgCEH3/8UaXdli1bBABCVFSUuCwkJEQwMDAQYmJixGU3b94UZDKZSs5rm6+6xFmb3NRlv3Xx2muvCRKJRNiyZUu16yt/X0JCQqqsy8rKEtLS0sTHgzFU5ri6Y6pkZmYmtGvXrspr/vjjDyEtLU2Ii4sTdu3aJVhZWQmGhoZCfHx8rY5p2LBhgpGRkZCQkCAuu3fvnqCjo1Pj78/D7+vavhcFQRCGDBkidO7cWXw+atQoYdSoUYJMJhN+//13QRAEISwsTAAg7N+/XxAEQVi5cmWV9+DDMdXmbwkRERERNS5Pcv6syXNnQaj9+fOjrglre/78JOfOglDz+XNDnTvzOkkzP2teJxFRQ+NQhESktXJzcwEApqamj22rUChw9OhRhISEwNPTU1zu4OCA8ePH4+zZs+L2Ks2cOVPleXBwMDIyMlTamZub4+LFi0hMTHyaQ1Exbdo08XuZTIaOHTtCEARMnTpVZb++vr6IjIwEAAiCgJ9++gnDhg2DIAhIT08XHwMGDEBOTo44PGJNx1cbSqUSv/zyC4YNG6YyjngliUTSYLmuDYVCgSNHjiAkJASurq7icj8/PwwYMEB8/iT5elyctcnNk+4XAIqLix/5WLFiBV588UVMnToVO3bsqPL6ylyamJhUWderVy/Y2NiIj6+++qqGDFfPxMQEeXl5VZb369cPNjY2cHFxwbhx42BiYoJ9+/bBycnpsdtUKBT4448/EBISAkdHR3G5t7c3Bg0aVOPrHvwZ1fW9GBwcjLCwMBQUFACoGNJy8ODBaNu2Lc6cOQOg4u5EiURSp+E76+v9TURERETq01Dnzw1x7gw82fnzw+epdTl/biznzrxOqlCX66TK7Wjbz5qI6EEcipCItJZcLgeAak8UH5aWlobCwkL4+vpWWefn5welUom4uDj4+/uLyx8sjACAhYUFACArK0vcd+VJsouLCzp06IDBgwdj8uTJKieGdfXwfs3MzGBgYCB2339weUZGhnh82dnZ2LhxIzZu3FjtdlNTU1Wee3h41Dm2tLQ05ObmIiAg4JFtGiLXtY2vqKgILVq0qLLO19cXhw4dEtvVNV+Pi7OoqKhWuXmS/ebn59eqgFtp8uTJ6NOnD+zt7cVlla/Pz8+v0n7Dhg3Iy8tDSkoKJk6cWOv9PBifra1tleVfffUVfHx8oKOjAzs7O/j6+lY74XJ1UlNTUVRUBG9v7yrrqltW6cH3dV3fi8HBwSgvL8f58+fh4uKC1NRUBAcH48aNGyoXbK1atYKlpWWtjgOov/c3EREREalPQ50/N8S5M/Bk588PXxPW5fy5MZw78zpJVW2vkwDt+1kTET2MhS0i0lpyuRyOjo4IDw9vkO3LZLJqlwsPzEf1/PPPIzg4GPv27cPRo0excuVKLF++HD///DMGDRpUZeLWSgqFok77fVwsSqUSADBx4kS8+OKL1bZt06aNynNDQ8MaY1C32uS6Pj1JvoCnj/NJ92tgYIAtW7Y8dvtHjhzBrl27MGrUqCrjl5uZmcHBwaHa35fKseQfnsy3NuLj45GTk1PtRVTnzp2r7b3WkJ7mfV05+fLp06fh6uoKW1tb+Pj4IDg4GOvWrUNJSQnOnDmDkSNH1mm76n5/ExEREdHTa4jzZ547P15dzp15nVR72v6zJiJ6GAtbRKTVhg4dio0bN+L8+fPo1q1bje1sbGxgZGSEO3fuVFl3+/ZtSKVSuLi4PFEMDg4OmD17NmbPno3U1FS0b98eS5cuxaBBg2BhYYHs7Owqr4mJiXmifdXExsYGpqamUCgU6NevX71u++H9yOXyRxYTGzLXtYnP0NAQ9+7dq7LuwXgaIl+1zc2T7FdHRwcvvfTSI9scO3YM+/btQ0hICHbs2FHtRcKQIUOwadMm/P333+jcuXOt9/8o33//PQCoDPVYH2xtbWFgYICIiIgq66pbVp26vhf19PTQuXNnnDlzBq6urggODgZQ0ZOrpKQEP/zwA1JSUtCzZ0/xNTUVr4mIiIhI+9X3+XNDnTsD6j9/fpJzZ6B+z595naSqtj9noOF/1rxOIqKGxjm2iEirvf322zA2Nsa0adOQkpJSZf39+/exZs0ayGQy9O/fH/v371e52yolJQU7duxAjx496tzVXaFQICcnR2WZra0tHB0dUVJSAgDw8vJCTk4Orl27JrZJSkrCvn376rSvx5HJZHjuuefw008/VVtYSUtLq5f9SKVShISE4Ndff8U///xTZb0gCA2S69qSyWQYMGAAfvnlF8TGxorLb926hSNHjqi0q+981TY3DfVzWrJkCfr164fdu3dDR6f6+1befvttGBkZYcqUKdX+vtT1zrgTJ07go48+goeHByZMmPBEcddEJpOhX79++OWXX1TmsIuIiMDvv/9e623U9b0YHByMixcv4uTJk+IFm7W1Nfz8/LB8+XKxTSVjY2MAqLaATURERETarT7Pnxvy3BnQzPlzXc+dAfWfP/M6qebtNOTPmtdJRNTQ2GOLiLSal5cXduzYgbFjx8LPzw+TJ09GQEAASktLce7cOfz444/iHVxLlizBsWPH0KNHD8yePRs6OjrYsGEDSkpKsGLFijrvOy8vD87Ozhg9ejQCAwNhYmKCP/74A6Ghofj0008BAOPGjcOCBQswcuRIzJ07F4WFhfj666/h4+ODsLCw+kwFPvnkE5w8eRJdunTB9OnT0apVK2RmZiIsLAx//PEHMjMz62U/H3/8MY4ePYpnnnkGM2bMgJ+fH5KSkvDjjz/i7NmzMDc3r/dc18XixYtx+PBhBAcHY/bs2SgvL8eXX34Jf39/lQJjQ+SrNrlpqJ/T/v37YWhoCD09vRrbtGjRAjt27MALL7wAX19fTJgwAYGBgRAEAVFRUdixYwekUimcnZ2rvPb333/H7du3UV5ejpSUFJw4cQLHjh2Dm5sbDhw4AAMDgyeK+1EWLVqEo0ePonv37pg1axYUCgXWrl2LgIAAXLlypVbbqOt7MTg4GEuXLkVcXJzKhVnPnj2xYcMGuLu7q+SnQ4cOAID33nsP48aNg66uLoYNGyZeyBERERGR9nrS82dNnDsD6j9/ruu5M1Dz+XND4XVSzRryZ83rJCJqcAIRURNw9+5dYfr06YK7u7ugp6cnmJqaCt27dxe+/PJLobi4WGwXFhYmDBgwQDAxMRGMjIyE3r17C+fOnVPZ1ocffigAENLS0lSWb9myRQAgREVFCYIgCCUlJcL8+fOFwMBAwdTUVDA2NhYCAwOFdevWqbzu6NGjQkBAgKCnpyf4+voK27dvF/dRm/2++OKLgrGxcZVjfuaZZwR/f3+VZSkpKcKcOXMEFxcXQVdXV7C3txf69u0rbNy48bH7qYuYmBhh8uTJgo2NjaCvry94enoKc+bMEUpKSsQ29ZnrkydPCgCEH3/88ZHtKp06dUro0KGDoKenJ3h6egrr16+vNue1yVdd4qxtbmq734YSEREhzJo1S/D29hYMDAwEQ0NDoWXLlsLMmTOFK1euVHuMlQ89PT3B3t5eePbZZ4U1a9YIubm5VbZf+ZrQ0NCnjvX48eNCu3btBD09PcHLy0vYtGmT8J///EcwMDBQafeo93Vt3ouVcnNzBZlMJpiamgrl5eXi8u3btwsAhEmTJlV5zUcffSQ4OTkJUqlU5f1Ql/cNERERETVetT1/1vS5syDU7vz5cdeEtT1/fpJzZ0Go/vy5MZw7N7frJEFo2J81r5OIqCFJBIEz8hEREZH2CAkJwY0bN6qdS42IiIiIiFTx/Ll54M+ZiJoTzrFFREREjVZRUZHK83v37uHQoUPo1auXZgIiIiIiImrEeP7cPPDnTETNHXtsERERFAoF0tLSHtnGxMQEJiYmaoqImrK6vN8cHBzw0ksvwdPTEzExMfj6669RUlKCy5cvo0WLFmqKmIiIiIhIM+p6rcbzZ+3F6yQiotrT0XQARESkeXFxcfDw8Hhkmw8//BCLFi1ST0DUpNXl/TZw4EDs3LkTycnJ0NfXR7du3fDxxx/zYo2IiIiImoW6Xqvx/Fl78TqJiKj22GOLiIhQXFyMs2fPPrKNp6cnPD091RQRNWV8vxERERER1Q7PnZsP/qyJiGqPhS0iIiIiIiIiIiIiIiLSClJNB0BERERERERERERERERUGyxsERERERERERERERERkVbQ0XQAzUFWVhbKy8s1GoONjQ3S0tI0GkNzw5yrH3Oufsy5+jHn6secqx9zrn5NKec6OjqwsLDQdBjUhGj6eq4p/X5qC+Zc/Zhz9WPO1Y85Vz/mXP2Yc/VrSjmvy7UcC1tqUF5ejrKyMo3tXyKRiHFwSjX1YM7VjzlXP+Zc/Zhz9WPO1Y85Vz/mnOjRNHk9x99P9WPO1Y85Vz/mXP2Yc/VjztWPOVe/5pxzDkVIREREREREREREREREWoGFLSIiIiIiIiIiIiIiItIKLGwRERERERERERERERGRVmBhi4iIiIiIiIiIiIiIiLQCC1tERERERERERERERESkFVjYIiIiIiIiIiIiIiIiIq3AwhYRERERERERERERERFpBRa2iIiIiIiIiIiIiIiISCvoaDoAIiIiIiIioke5efMmDhw4gKioKGRlZeGtt95C586dH/maGzduYNu2bYiLi4OVlRWee+459OrVSz0BExERERFRg2GPLSIiIiIiImrUSkpK4O7ujqlTp9aqfWpqKj755BP4+/tjxYoVGDJkCNavX48rV640bKBERERERNTg2GOL6P/dvn0bd+7cwbBhwyCVsuZLRERERNRYtGvXDu3atat1+6NHj8LW1haTJ08GADg7O+P27ds4ePAg2rZt20BR1r/ISBneeUfAyy8XwMfHSNPhEBERERE1CixsEQH4+++/MX78eFhaWiIoKAg2NjaaDomIiIiIiJ7QvXv30Lp1a5VlgYGB2Lp1a42vKSsrQ1lZmfhcIpHA0NBQ/F4T3nwzD3//PRF79lzF8eP74OHhoZE4mpPKn7WmfubNEXOufsy5+jHn6secqx9zrn7NOecsbFGzd/XqVUyaNAlFRUUYMGAAi1pERERERFouOzsbZmZmKsvMzMxQVFSE0tJS6OnpVXnNvn37sHfvXvG5h4cHli9frtHrgz59tuDvv4+huBgYNmwEfv11P4KCgjQWT3Nib2+v6RCaHeZc/Zhz9WPO1Y85Vz/mXP2aY85Z2KJm7datWxg/fjzy8/PRrVs3vPvuu+K6f/75B4GBgdDV1dVghEREREREpA4jR47E0KFDxeeVd76mpaWhvLxcIzFNnRqM5cv1IQglyMxMR58+fbBmzRoMHz5cI/E0BxKJBPb29khOToYgCJoOp1lgztWPOVc/5lz9mHP1Y87Vr6nlXEdHp9Y3lbGwRc1WREQExo0bh+zsbLRv3x5bt24Vhxr5448/MG3aNPTu3Rvr16+Hvr6+hqMlIiIiIqLaMjc3R05OjsqynJwcGBoaVttbCwB0dXVrvKlNUx8UGBsbo0ePgThzZj8AH5SU3MXMmTMRExODOXPmNMthZ9RFEIQm8QGRNmHO1Y85Vz/mXP2Yc/VjztWvOeZcqukAiDQhNjYWY8eORXp6Ovz9/bF9+3aYmJiI62UyGWQyGY4ePYpp06ahqKhIg9ESEREREVFdtGjRAtevX1dZdu3aNfj4+Ggooic3ffpz//+dDC1azAYALFu2DO+9957mgiIiIiIi0iAWtqhZUiqVkMlk8PHxwc6dO6uMv9+7d29s3boVBgYGOHHiBF5++WUWt4iIiIiINKS4uBjR0dGIjo4GAKSmpiI6Ohrp6ekAgB07dmDt2rVi+/79+yM1NRXbt29HQkICjhw5gvPnz2PIkCGaCP+pDBs2DDo6ugBuISLiVbz++hJIpVIEBgZqOjQiIiIiIo3gUITULLm7u2Pfvn2QyWSwsrKqtk1wcDB++OEHTJ48GWfOnMGkSZPw3XffwdjYWM3REhERERE1b/fv38fixYvF59u2bQMAPPPMM5gzZw6ysrLEIhcA2Nra4p133sF3332HQ4cOwcrKCjNnzkTbtm3VHfpTMzc3R8+ewThx4gQE4WfExc3Dn3/2hJeXl9hGEAQOS0hEREREzQYLW9RsZGdnIzw8HD169AAAODk5PfY1Xbt2xY4dOzBx4kScP38e48ePx44dO1jcIiIiIiJSI39/f+zZs6fG9XPmzKn2NStWrGjIsNRm8ODB+Ouv8ygpyccvvxhi7lxfAOUAgLS0NEybNg0fffQR2rRpo9lAiYiIiIjUgEMRUrOQl5eHiRMnYuLEiTh8+HCdXtuxY0fs2rULZmZm8PLygqGhYQNFSUREREREVFVISAjCw69h4MAPoFRKsHr1v/MDL1u2DP/88w9GjRqFo0ePajBKIiIiIiL1YGGLmryioiK8+OKLuHz5MkxMTODh4VHnbbRt2xaHDh3CypUrIZXy14aIiIiIiNTHyMgIRkZG+M9/8gAABw4Y4vbtigFYFi9ejF69eqGoqAhTpkzBpk2bNBkqEREREVGD4yf01KSVlJRg6tSpuHjxIkxNTbFz5074+vo+0bbc3d0hk8kAAOXl5Vi2bJnKOP5EREREREQNqVWrcvTtexeCIMFnn5kCAExNTbF161ZMmDABgiDgww8/xMKFC6FQKDQcLRERERFRw2Bhi5qssrIyzJw5E6dOnYKRkRG+//57tG7dul62/dFHH2Ht2rUYPXo0UlJS6mWbRERERERENSkpKUG/fv1w/LgvgFgcPGiIGzcqem3p6upi+fLleP/99wEAmzdvxpQpU1BQUKDBiImIiIiIGgYLW9QkKRQKzJ07F0ePHoW+vj62bNmCTp061dv2X3zxRTg4OODevXt47rnnkJiYWG/bJiIiIiIiepi+vj5MTSt6abVuvRsAxF5bACCRSDBr1ixs2LABBgYGiIyMRGlpqUZiJSIiIiJqSCxsUZNlZGQEXV1dfPPNN+jRo0e9btvT0xM///wznJ2dERUVheeeew5xcXH1ug8iIiIiIqIHDR48GAAgkfwMqVTA4cOGuHZNV6XN0KFDsWfPHnz//fewsLDQRJhERERERA2KhS1qkmQyGVauXIlff/0Vffv2bZB9uLq64ueff4a7uztiY2Px3HPPITo6ukH2RUREREREVFnYun79IgYNigIArFplWqVdhw4d4O7uLj7fsWMH/vzzT3WESERERETU4FjYoiZDEAQcOHAA5eXlAACpVFpvc2rVxMnJCXv37oWXlxcSEhIwYcIElJWVNeg+iYiIiIioeXJyckK7du0gCAJattwLmUzA8eMGCAvTrfE1f//9NxYsWIDJkyfjhx9+UGO0REREREQNg4UtajLWrFmDWbNmYdasWRAEQW37dXBwwE8//YQ2bdpg6dKl0NWt+aKSiIiIiIjoaVT22vr7798wenQRAODTT6v22qrUtm1bjBo1CgqFAm+//TZOnDihljiJiIiIiBoKC1vUJGzcuBErV64EAHTq1AkSiUSt+7exscHBgwfRq1cvte6XiIiIiIial8rC1rlz5/DSSzHQ0RHw558GCA3Vq7a9np4ePv/8c0ycOBEA8PrrryM5OVlt8RIRERER1TcWtkjrff/991i8eDEAYP78+ZgxY4ZG4pBK//11un37NkJCQpCXl6eRWIiIiIiIqGlyd3fHa6+9hm+++Qa+vgYYO7YQQPVzbVWSSCRYvHgx/P39kZmZiddeew0KhUJdIRMRERER1SsWtkirnT17Fv/9738BAK+++ipef/11DUcEKJVKvPLKK9i/fz8++ugjTYdDRERERERNzDvvvIMBAwZAX18fc+fmQ1dXwNmz+jh/vvpeWwBgYGCAr7/+GkZGRjh37hy++OILNUZMRERERFR/WNgirbZr1y4IgoBRo0bhnXfeUfsQhNWRSqVYtmwZAGD79u04c+aMhiMiIiIiIqKmytlZgRde+LfX1qOmG/by8hKvVfLz89URHhERERFRvWNhi7RWeXk5jh8/DgB48cUXG0VRq1JQUBBmzZoFAHj77bdRUFCg4YiIiIiIiKgpuXv3LlasWIE//vgDr72WBz09ARcu6OOvv2rutQUAo0ePxpEjR7Bw4UI1RUpEREREVL9Y2CKtpaOjg6NHj2Lp0qVo3769psOpYvny5XByckJsbCyWL1+u6XCIiIiIiKgJ+eWXX7BmzRrs3LkTjo5KTJxYcTPd43ptAUBAQID4fXl5OYTHvYCIiIiIqBFhYYu0mouLC1566SVIpY3vrWxqaoqVK1cCADZv3oy///5bwxEREREREVFTMWTIEADAn3/+iYKCAsyZkw8DAwGhofo4fVq/VttISEjA6NGj8c033zRkqERERERE9UpHHTs5fPgwfv31V2RnZ8PNzQ1TpkyBt7d3je3Pnz+P3bt3Iy0tDfb29pgwYYJKjxxBELBnzx4cP34cBQUFaNmyJaZNmwYHBwexTX5+PjZv3oxLly5BIpGgS5cuePnll2FgYCC2iYmJwbfffov79+9DLpdj4MCBGDFihLj+zz//xLp161Ri09XVxQ8//FAfaaFmoFevXnjhhRewc+dObNu2DZ07d9Z0SERERERE1AS0atUK7u7uiI6OxokTJzBs2DBMmlSAb74xwcqVpujZswSPG639xIkTCA0NxZUrV9ClSxcEBgaqJ3giIiIioqfQ4N1czp07h23btmH06NFYvnw53NzcsHTpUuTk5FTb/s6dO1izZg369OmD5cuXo1OnTli5ciViY2PFNvv378fvv/+O6dOn4+OPP4a+vj6WLl2K0tJSsc0XX3yBuLg4vP/++3jnnXdw69YtbNiwQVxfWFiIJUuWwNraGp988gkmTpyIH3/8EX/88YdKPIaGhti4caP4+Oqrr+o5Q/QkLl++jMmTJ+OXX37RdCiPtXDhQixZsgRr1qzRdChERERERNRESCQSDB48GABw8OBBAPj/XltKXL6shxMnHt9ra+LEiRg8eDDKysowe/Zs5OXlNWjMRERERET1ocF7bP3222/o27cvevfuDQCYPn06wsLCcPLkSYSEhFRpf+jQIbRt2xbDhw8HAIwbNw7Xr1/H4cOHMWPGDAiCgEOHDmHUqFHo1KkTAODVV1/F9OnTERoaiu7duyM+Ph5XrlzBsmXL4OXlBQCYMmUKli1bhkmTJsHS0hJnz55FeXk5Zs+eDR0dHbi4uCA6Ohq//fYb+vXrJ8YjkUhgbm5eq2MtKytDWVmZymsNDQ3F7zWlct+ajKG+HTx4EMePH4epqSlGjhyp6XCqeDDn5ubmmDJlioYjavqa4vu8sWPO1Y85Vz/mXP2Yc/Vjzom01+DBg7Fu3TocP34cRUVFsLExxMsvF+Lrr02wapUp+vR5dK8tiUSClStX4tq1a4iOjsaCBQvw1Vdf8e8BERERETVqDVrYKi8vR2RkpEoBSyqVonXr1rh79261r7l79y6GDh2qsiwwMBChoaEAgNTUVGRnZ6NNmzbieiMjI3h7e+Pu3bvo3r077t69C2NjY7GoBQCtW7eGRCJBREQEOnfujLt378LPzw86Ojoq+9m/fz/y8/NhYmICACguLsbs2bMhCAI8PDzwwgsvwMXFpdrY9+3bh71794rPPTw8sHz5ctjY2NQyYw3L3t5e0yHUC0EQcOzYMQDACy+8oDIEZWPzcM6Liorw5Zdf4vXXX4e+fu3Gvae6aSrvc23CnKsfc65+zLn6Mefqx5wTaZ+2bdvC0dERiYmJOH36NAYMGIBZs/Lx3XdGuHZND8eO6aN//5JHbsPc3BxfffUVRo0ahf3796NHjx4YP368mo6AiIiIiKjuGrSwlZubC6VSWaXHk7m5ORITE6t9TXZ2NszMzFSWmZmZITs7W1xfuexRbeRyucp6mUwGExMTlTa2trZV4qpcZ2JiAkdHR8yaNQtubm4oLCzEgQMH8P777+Ozzz6DlZVVldhHjhypUpSrvMstLS0N5eXl1R6vOkgkEtjb2yM5ORmCIGgsjvpy584dREREQF9fH+3atUNSUpKmQ6qiupwLgoDRo0fj/PnzSExMxIIFCzQcZdPS1N7n2oA5Vz/mXP2Yc/VjztWvqeVcR0en0dxYRtTQKocj3Lt3LzIyMgAAVlZKTJlSgLVrTbFypRz9+qVB+phJCDp27IgFCxbg448/xsKFC9GhQwf4+vqq4QiIiIiIiOquwYci1GY+Pj7w8fFReT5v3jwcO3YM48aNq9JeV1cXurq61W6rMXxIIAhCo4jjaR06dAgA0KNHDxgbGzfqY3o451OmTMH58+exdu1aDB48GAEBARqMrmlqKu9zbcKcqx9zrn7Mufox5+rHnBNpp//85z94//33Va5FX3klH1u3GuPmTV0cPmyAwYOLH7udWbNm4dy5c0hJSYFMJmvIkImIiIiInspj7tt6OnK5HFKpVOwlVSk7O7vGeavMzc2Rk5OjsiwnJ0dsX/n1cW1yc3NV1isUCuTn56u0qS6uB/fxMB0dHXh4eCA5Obna9aQeR44cAQAMHDhQw5HU3eDBgzFs2DAoFArMmzcPpaWlmg6JiIiIiIi0mFwur3KDpaWlgGnTCgAAn35qCqXy8duRSqVYu3Ytfv31V3h7ezdEqERERERE9aJBC1s6Ojrw9PREeHi4uEypVCI8PFylJ9SDfHx8cP36dZVl165dQ4sWLQAAtra2MDc3V2lTWFiIiIgIcZs+Pj4oKChAZGSk2CY8PByCIIgn6D4+Prh165bKEIHXrl2Do6OjOL/Ww5RKJWJjY2FhYVGXNFA9SkhIwLVr1yCVStG/f39Nh/NElixZAktLS9y8eRNfffWVpsMhIiIiIqImQBAEJCQkiM+nT8+HXK7E7du6+O03g1ptw8LCAoaGhuLzh28oJSIiIiJqDBq0sAUAQ4cOxfHjx/Hnn38iPj4emzZtQklJCXr16gUAWLt2LXbs2CG2Hzx4MK5evYpff/0VCQkJ2LNnD+7fvy/2zqkcQ/znn3/GP//8g9jYWKxduxYWFhbo1KkTAMDZ2Rlt27bFhg0bEBERgdu3b2Pz5s0ICgqCpaUlgIph7HR0dLB+/XrExcXh3Llz+P3331XmyNq7dy+uXr2KlJQUREZG4osvvkBaWhr69u3b0GmjGmRlZaFr167o0qULrK2tNR3OE7G2tsaSJUsAAGvWrMGtW7c0HBEREREREWmz6OhodO3aFQMGDBBv3jQ3FzBjRj4A4LPPTKFQ1H57CoUCn3/+OYKCghAdHd0AERMRERERPbkGn2MrKCgIubm52LNnD7Kzs+Hu7o53331XHO4vPT0dEolEbO/r64u5c+di165d2LlzJxwcHDB//ny4urqKbUaMGIGSkhJs2LABhYWFaNmyJd59913o6emJbebOnYtvv/0W//vf/yCRSNClSxdMmTJFXG9kZIT3338f3377Ld555x2YmpriueeeQ79+/cQ2+fn52LBhA7Kzs2FsbAxPT08sWbIEzs7ODZgxepSAgAD89NNPKj3ttNHw4cOxf/9+HDlyBB988AF+/PFHTYdERERERERaytnZGQUFBcjKysKFCxfQo0cPAMDUqQXYtMkE9+7pYv9+Q4waVVSr7QmCgFOnTiE7OxuzZ8/GL7/8onK9TURERESkSRKBM0Q3uLS0NJSVlWls/xKJBA4ODkhKSuKE4GpSm5ynpKTgww8/xMKFC+Hk5KTmCJsevs/VjzlXP+Zc/Zhz9WPO1a+p5VxXVxc2NjaaDoOaEE1ez9Xl9/Ott97Czp07MXnyZCxbtkxc/sUXJli+XA4Pj3L8+WcqdGp5e2tCQgL69++P7OxsTJ8+HYsWLXqKI9EeTe1vojZgztWPOVc/5lz9mHP1Y87Vr6nlvC7Xcg0+FCFRfYmMjERGRoamw6g3dnZ2WL9+PYtaRERERET01AYPHgwAOHz4MJRKpbh8ypQCWFgoEBWlg59/Nqzp5VU4OTlh9erVAIBvvvkGx44dq9+AiYiIiIieEAtbpDU++ugjtG3bFjt37tR0KA0iNDQUiroMfE9ERERERPT/evToAblcjtTUVPzzzz/ichMTAbNnFwAAPv/cFKWltd9m//79MXXqVADAvHnzkJiYWK8xExERERE9CRa2SCsUFhbi9OnTUCqVaNOmjabDqXeLFi1CSEgINm/erOlQiIiIiIhIC+np6eHZZ58FABw8eFBl3UsvFcDGRoGYGB18951xnbb73nvvoXXr1sjKysJrr73Gm/GIiIiISONY2CKt8Oeff6K4uBiurq5o1aqVpsOpd97e3gCATz75BFFRURqOhoiIiIiItNGQIUMAAIcOHVKZZ8HISMDbb+cBAFavNkVmZu0/CtDX18e6detgZWWFESNGQCrlxwhEREREpFk8IyWt8PvvvwMABg4cCIlEouFo6t+ECRPQo0cPFBcXY/78+Spj4hMREREREdVGz549MWXKFHz++edVJhAfO7YQrVqVISdHilWrTOu0XU9PT1y4cAGTJ09uktdjRERERKRdWNiiRq+srAzHjx8HUFHYaookEglWrlwJIyMjnD9/Htu2bdN0SEREREREpGUMDQ3x0UcfoXv37lV6VslkwKJFOQCA7783wu3bOnXatpGRkfh9bm4uMjMznz5gIiIiIqInwMIWNXrnz59HTk4OrKys0LFjR02H02BcXV3x7rvvAgCWLl2KuLg4DUdERERERERNSffupRg0qAhKpQSLF8vxUKeuWrl27Rr69++PFStW1H+ARERERES1wMIWNXqHDx8GAAwYMAAymUzD0TSsF198EV26dEFhYSHmz59fZfgQIiIiIiKixwkNDcXChQtx+/btKuvefz8XenoCTp82wPHj+nXedkREBOLi4nDjxo36CJWIiIiIqM5Y2KJG7z//+Q8+/fRTjB8/XtOhNDipVIpVq1bB2dkZEydO5Pj1RERERERUZ+vXr8fmzZtx4MCBKuvc3RWYNi0fALB4sRnKyuq2bS8vLwBAQkLCU8dJRERERPQkWNiiRs/Kygrjxo1Du3btNB2KWnh6euLs2bMYOnSopkMhIiIiIiItNGTIEADAoUOHql0/d24+rK0ViIzUwdatxnXatpOTEwAgJSUFJSUlTxcoEREREdETYGGLqBHS1dUVv8/OzuaQhEREREREVGv9+vWDrq4u7t27h3v37lVZb2oq4O238wAAq1ebIjOz9h8NWFlZwcDAAACQlJRUPwETEREREdUBC1vUqL3++uv45ptvkJeXp+lQNOK3335DcHAwdu/erelQiIiIiIhIS8jlcgQHBwMADh48WG2bceMK4edXhpwcKT791LTW25ZIJGKvrfj4+KcPloiIiIiojljYokYrIiICe/fuxdKlSzUdisbExMQgMzMT77//PiIiIjQdDhERERGRxhw+fBhz5szBhAkT8O677z72/PjgwYN4/fXXMWHCBMyaNQtbt25FaWmpmqLVvMrhCGsqbMlkwOLFOQCA7783wp07OrXetrOzMwDOs0VEREREmsHCFjVahw8fBgD06NEDpqa1v4OwKZk5cya6d++OoqIizJo1C8XFxZoOiYiIiIhI7c6dO4dt27Zh9OjRWL58Odzc3LB06VLk5ORU2/7s2bPYsWMHxowZg9WrV2PmzJk4f/48du7cqebINad///6QyWS4efMmoqOjq23TvXspBg4sgkIhweLFctR2BPRWrVqhXbt2MDQ0rL+AiYiIiIhqiYUtarQqC1sDBw7UcCSaI5PJ8MUXX8DKygo3b97EkiVLNB1Sk6VUKpGQkIDz58/j999/x927d1FeXq7psIiIiIgIFUN09+3bF71794azszOmT58OPT09nDx5str2d+7cga+vL3r06AFbW1sEBgaie/fuzWoUBEtLSwQFBcHBwQFxcXE1tlu4MBe6ugJOnTLA8eP6tdr2+++/j99++w3Dhw+vr3CJiIiIiGqt9mMNEKlRUlISLl++DIlEgv79+2s6HI2yt7fH559/jkmTJmHLli0IDg7GgAEDNB2WViooKEBsbCxiY2MRHR2NwMBAdO3aFQAQFhaGESNGqLTX19dHixYt4Ofnh2HDhqFv376aCJuIiIioWSsvL0dkZCRCQkLEZVKpFK1bt8bdu3erfY2vry/OnDmDiIgIeHt7IyUlBZcvXxbnnapOWVkZysrKxOcSiUTskSSRSOrnYOqocr9Puv+vv/4a5ubmkEprvqfVw0OJadMK8PXXJli82Ay9eqVBV/eJdtckPG3Oqe6Yc/VjztWPOVc/5lz9mHP1a845Z2GLGqUjR44AADp06ABbW1sNR6N5ffr0wSuvvIINGzbgzTffxLFjx+Do6KjpsBodpVKJoqIiGBgYAKgY83/ZsmWIiYlBbGws0tPTVdq/8sorYmHLzc0NOjo6cHZ2hpmZGSIiIlBQUIDw8HCEh4fDy8tLLGzFxsbinXfegZ+fH1q1agU/Pz94e3tDT09PvQdMRERE1Azk5uZCqVTC3NxcZbm5uTkSExOrfU2PHj2Qm5uLhQsXAgAUCgWeffZZjBo1qsb97Nu3D3v37hWfe3h4YPny5bCxsXn6g3hK9vb2T/Q6BweHWrVbtgzYuxeIjNTBvn0OeP312m1fEIQm+0HKk+acnhxzrn7Mufox5+rHnKsfc65+zTHnLGxRo1Q5DOGgQYM0HEnj8c477+DChQto06YNLCwsNB1Oo3LhwgV89NFHuHnzJqZMmSJ+gKGrq4t9+/aptLWwsICbmxtcXV0REBAgLre2tkZkZCRkMhmAiiJZXFwcbt26hVu3bqFnz55i2/DwcJw6dQqnTp0Sl+no6Ii9uyZOnIguXbo05CETERER0SPcuHED+/btw7Rp09CiRQskJydjy5Yt2Lt3L0aPHl3ta0aOHImhQ4eKzysLNmlpaRoboloikcDe3h7JyckQajsBVjXKy8uRlpb2yELX/PmGePttc3z4oRL9+qXC0rLm/aWnp2P48OHIyMjArVu3HtkjTNvUV86p9phz9WPO1Y85Vz/mXP2Yc/VrajnX0dGp9U1lLGxRo6NUKmFiYgJ9fX0OufcAPT09/PTTT5yg+QFFRUVYtmwZNm/eLP7xfnD+ABsbGyxcuBAuLi5iMUsul1e7LYlEIha1gIrhbdzc3ODm5lZlnrfAwECsWLECN2/eFAtfubm54vcPDp8ZHx+PgwcPYuzYsVXuMiYiIiKix5PL5ZBKpcjOzlZZnp2dXeP51e7du9GzZ0+xx72rqyuKi4uxceNGjBo1qtpCjK6uLnRrGINP0x8UCILwxDGcOXMGs2bNQosWLarc9PWgceMKsWWLMW7d0sWnn5pgyZLcGtvK5XLExsZCqVQiNTUVdnZ2TxRbY/Y0Oacnw5yrH3Oufsy5+jHn6secq19zzDkLW9ToSKVSbNq0CYWFhTAyMtJ0OI3Kg0UthUKBxMREuLi4aDAizQkNDcW8efMQFRUFAHjhhRfw0UcfqQwHKJFIMHPmzHrft5OTEyZMmCA+FwQBiYmJYqGrffv24rrvv/8ea9euxYoVKzBy5Ei8+OKLaN26db3HRERERNRU6ejowNPTE+Hh4ejcuTOAipvhwsPDq9yAVKmkpKTKEHlNqVdRXXh5eSErKwuhoaFISUmpsQglkwGLFuVg7FhrbNtmjEmTCuHrW31PNV1dXdjb2yMxMRHx8fFNsrBFRERERI1X8zyzJ63AolbNMjIyMH78eISEhCAzM1PT4ajdrl27MHLkSERFRcHe3h7ff/89Pv30U3h5eUFHR/31eolEAicnJzz77LOYO3cunJycxHWV83AVFxdj586dGDhwIIYNG4affvoJJSUlao+ViIiISBsNHToUx48fx59//on4+Hhs2rQJJSUl6NWrFwBg7dq12LFjh9i+Q4cOOHbsGP766y+kpqbi2rVr2L17Nzp06NDsClyOjo5o164dBEHA77///si2PXqUYuDAIigUEixeLMejbvx1dnYGUDFCARERERGROjWvM3pq9IqLi1WGkqPqGRoaIikpCcnJyXjzzTebXVfT4OBgGBsbY8yYMTh+/Dj69Omj6ZBqFBISgqNHj+KXX35BSEgIdHV1ERYWhrlz56JPnz5QKpWaDpGIiIio0QsKCsKkSZOwZ88evP3224iOjsa7774rDkWYnp6OrKwssf1zzz2HoUOHYteuXZg3bx6+/vprBAYGYsaMGRo6As0aMmQIAODQoUOPbfv++7nQ1RVw6pQBTpzQr7FdZWErMTGxfoIkIiIiIqolDkVIjcqpU6cwZcoU9O/fH1u2bNF0OI2WkZER1q1bh+HDh+PYsWPYvHkzpk6dqumwGkxJSQlOnDiBQYMGAagYCvDPP/985OTXjYlEIkGnTp3QqVMnLFq0CD/88AO2b9+O3r17i3cMC4KAv//+G506dWp2dxETERER1cbAgQNrHHpw0aJFKs9lMhnGjBmDMWPGqCGyxm/w4MFYsmQJzp8/j8TERDg6OtbY1sNDgalTC7B+vQkWL5ajZ880VDf1WOU22GOLiIiIiNSNn55So3L48GEAaLbzRtVFQEAAFi5cCABYsmQJwsPDNRxRw7h69SoGDRqEadOm4c8//xSXa0tR62E2NjZ44403cOHCBbz99tvi8n/++QejRo3CM888g2+++QY5OTkajJKIiIiImhI3Nzd069YNSqUSmzZtemz711/Pg5WVAvfv6+K774yrbcOhCImIiIhIU1jYokajvLwcx44dA4Aa78QkVS+99BIGDBiA0tJSzJw5E/n5+ZoOqd6UlpZixYoVGDZsGO7cuQMrKysoFApNh1VvdHR0IJfLxecxMTEwNTVFZGQkFi1ahA4dOuDtt9/GjRs3NBglERERETUVs2fPBgDs2LEDRUVFj2wrlwuYPz8PAPDZZ6bIzJRUaePl5YV27drB29u7/oMlIiIiInoEFrao0bh48SKysrJgYWGBzp07azocrSCRSLBq1So4ODggKiqqyhAs2io8PByDBw/GmjVroFAoMGzYMJw8eRJ9+/bVdGgNZvTo0bh06RKWLVuGli1boqioCD/88AP69++PkJAQpKamajpEIiIiItJivXv3xrx583Dw4EEYGho+tv348YXw8ytDTo4Un31mWmV9UFAQfvvtN3EUCSIiIiIidWFhixqNI0eOAACeffZZ6Ohw+rfasrS0xFdffQVfX1+8/PLLmg7nqX3zzTcYMmQIbt26BQsLC3z99ddYv349rKysNB1agzM2NsbkyZPxxx9/4Oeff8bw4cOho6OD1NRUWFtbi+2WLVuGVatW4ciRI0hISIAgCBqMmoiIiIi0gUQiwVtvvQUvL69atZfJgEWLKobH3rbNGHfv8hqNiIiIiBoHnplSoyAIgji/1qBBgzQcjfbp0qULjh07BplMpulQnpq9vT3Ky8sxaNAgLFu2DDY2NpoOSe0kEgm6dOmCLl26ICUlBbGxsZBKK+5DUCqV2Lp1q8qwk+bm5ggICEBAQAC6dOmC/v37ayr0OhMEARJJxdA2hYWFuHDhAsrLy6t9+Pj4oGPHjgCAvLw8bN68GQqFAmVlZeLX8vJy6OnpoUOHDhg8eLC4j3/++QdmZmaQy+UwMzODgYGBuF8iIiKi5qi4uBgGBgaPbNOjRykGDCjCkSOG+N//5Ni+PbNKG6VSCUEQmsS1CBERERFpBxa2qFG4fv06EhISYGhoiODgYE2Ho5UevJAMDw9HixYtoK+vr8GIaqe8vBxRUVFo0aIFAGDYsGGwtbVF586dWXgAYGdnBzs7O/F5WVkZ3n77bYSHhyM8PBx3795FdnY2zp49i7Nnz+Lu3bsqha2lS5fC09MTAQEB8PHxUft7oqSkBPfu3UNCQgLi4+PFR+XzadOmYe7cuQCA5ORkTJo0qcZtTZ06VSxsFRQUYMWKFTW2feGFF8TCVn5+PkJCQlTWV85xJpfLMXjwYLz33nsAKj6YWbp0KeRyOczNzeHm5gYvLy84OTmJxUUiIiIibZaamopFixbh+vXrOHny5GNHy3j//VycOGGAkycNcPy4Pvr2LRHXTZ06FSdOnMDGjRvx7LPPNnToREREREQAWNiiRsLb2xvr169HcnJyrcZ7p5pt27YNCxcuxMsvv9zo59y6ffs23nrrLcTExODkyZPicHtdunTRcGSNl76+PqZOnSo+LykpwZ07d8RCl7+/v7guLS0N69atE5/r6uqiRYsW8PLygqGhIXr16oURI0YAqOgttX37dhgYGMDQ0BAGBgYqDwcHBzg7OwOo6AFVWFgIfX19JCQkICwsTKVo1a1bNwwfPhwAEB0djQEDBtR4PPHx8eL3hoaGaN26NXR0dFQeurq6kMlk8PX1FdsaGxtj/PjxkMlk4vrKr6WlpWjbtq3Ytri4GO7u7sjJyUFubi4UCgXKy8uRmZmJzMxMZGVliW0LCgqwfv36avPu4eGBoUOHYt68eeLy3NxcyOXymn9gRERERI2Mqakpzpw5g8zMTBw8eFA8H6yJp6cCU6YUYMMGEyxeLEfPnmnQ1f13fWlpKRISEho4aiIiIiKif7GwRY2CkZERhg0bpukwmoTKofy++eYb9OjRA/369dN0SFXcu3cPn3/+Ofbv3w9BECCXy3Hnzh2VeaSodvT19dGmTRu0adOmyjqlUomZM2fi+vXruHHjBrKzs3Hz5k3cvHkTAGBhYSF+kJGZmYnFixfXuJ8JEyaIPaSys7MREBBQY1uFQiEWtpydnWFlZQVnZ2c4OTnB2dlZfDg5OcHV1VV8nYODgzgk6eOYmppi5cqVtWprY2ODv/76C8C/RbnKIldubi7Mzc3FthKJBK+88gpyc3ORmZmJqKgoREdHo6SkBLdv31Ypuubn58PPzw/W1tbw8vKCl5cXPD09xa9ubm7QffBTHyIiIqJGwNDQEFOmTMGqVavw1VdfYfjw4Y8dKeH11/Pw44+GuH9fF9u2GWPq1AIAgJOTEwDVm5WIiIiIiBoaC1tETUz//v0xdepUfPvtt5g3bx6OHTsGe3t7TYcFAIiIiMDnn3+OX375BYIgAAAGDx6M//3vf3BwcNBwdE2PnZ0dFi5cCKCioJOQkCAO+1lcXKzSq0lPTw8hISEoLi6u9mFrayu2LS4uFr+XyWRwcHCAk5OTWLjq3LmzuN7Y2BjXrl1r+IOtJYlEAmNjYxgbG8PR0bHKehMTE3zwwQcqyxQKBeLi4hAZGamSh+joaABAeno60tPTcfHiRZXXPVgMzM/Px86dO+Ho6Cg+bGxsOLwhERERacSLL76Ir776Cjdu3MDp06fxzDPPPLK9mZmAt9/OwzvvmOOzz0wxcmQhLC0FsUc/C1tEREREpE4sbJHG/fTTT4iNjUVISAg8PDw0HU6T8N577+HChQu4ceMGXnvtNezatUvjkzlnZmaif//+KCmpGJN/4MCBmDdv3iN7/lD9kUgkYk+p6tja2uKrr76q1bbs7e0RERGBkpIS+Pj4IC0tTSxUNkUymQzu7u5wd3dXWR4QEIDbt28jKioK9+/fV3lERkbC09NTbBsdHV1laFBdXV3Y29vD0dER48aNw/PPPw+gonAYEREBR0dHWFhYcK45IiIiqneWlpaYMGECNm3ahLVr1z62sAUAL7xQiO++M8atW7pYvdoUH32Uy8IWEREREWkEC1ukcVu3bkVYWBgsLS1Z2Kon+vr6WLduHQYNGoRz585h7dq1eP3119UeR1paGmxsbABUXDw/99xzyMjIwJtvvsmClhaTSCQwNDSEkZHRYycbb+pMTU2rHQpSqVSivLxcfK6np4dhw4YhMTERCQkJSE1NRVlZGeLi4hAXF6cyZGhERIQ4L5mBgYHYw8vJyQmOjo4YM2aMWGQrLS1FZmYmLCwsoK+v3/AHTERERE3GjBkzsHXrVpw7dw6XL19Gu3btHtleRwf48MMcjBtnje++M8akSYXiUISJiYnqCJmIiIiICAALW6RhKSkpCAsLA1AxhB7VH29vbyxduhTz5s3Dp59+iv79+8PPz08t+46Ojsbnn3+Offv24fDhw+J+P/nkE433HCNSB6lUCj09PfG5j48P1q9fLz4vLy9HSkoKEhMTkZiYiFatWonr8vPzYW1tjfT0dBQXFyMyMhKRkZHiekdHR7GwdevWLQwePBhAxTCKlpaW4sPCwgLDhg3Ds88+CwAoKCjA9evXxfVmZmacA4yIiKgZc3JyQkhICPbu3YvNmzfjyy+/fOxrgoNL0b9/EY4eNcS6dSZYuLCix1ZKSgpKSkp4ow0RERERqQULW6RRR44cAQC0a9eOcyw1gDFjxuDixYvw9fVFy5YtG3x/MTExWLNmDfbu3QuFQgEAOH78uFjYYlGLqIKOjo44L9nDunbtiqtXr6K4uBhJSUli8SsxMRFJSUlo37692DY3NxcymQwKhQL5+fnIz89HbGysuL5Vq1ZiYevevXt47rnnVPZVWYDT09PD66+/jpkzZwIA7t+/j9mzZ0NXVxf6+vrQ1dWFnp6e+P3AgQMxfPhwABXDjH7zzTcwMDCAoaEhDA0NVb53c3ODt7c3gIr5ytLS0sQ2enp6HGqRiIhIg+bMmQM/Pz9MmDCh1q8ZM6aisBURoQNLS0t07twZNjY2KCwsZGGLiIiIiNSChS3SqMOHDwMABg0apOFImiaJRIJVq1aJHxwLgoDPPvsMLi4u8PDwgKenJywtLZ/6g+XY2FisWbMGP/74o1jQ6tOnD958883HDmlCRNUzMDCAh4eHyhCtEokEDg4OSEpKAgAEBwcjOjoaubm5yMzMFB9ZWVnIzMxEt27dxNeWl5fDw8MDWVlZyM7OBlAxZGJxcTGKi4uhVCrFtnl5eQgPD68xtgdjysjIwBdffFFj22nTpmHx4sUAKu7m7tSpk7hOKpWqFMJGjRqFBQsWAACKioqwYMECmJiYwMTEBMbGxjA1NYWxsTFMTEzg7u4Of39/ABV/23JycmBiYtLsh8ckIiKqCx8fH/j4+NTpNU5OFef7iYkySCQS7Nu3ryFCIyIiIiKqET/9IY3JycnBX3/9BQDifDJU/x4sWmVkZOCzzz5TWW9mZiZ+eN6vXz+EhITUafvl5eUYOXIkkpOTAQC9e/fGm2++qdKrhIgajlQqhbm5OczNzeHp6Vlju44dO+Ls2bMAKn5v8/LyUFpaitLSUpSUlMDS0lJs6+npie3bt6OsrAwlJSUoKysT25WVlaFt27ZiW7lcjilTpqC4uBhFRUUoKipS+d7FxUVsW1xcDKlUKhbRlEolCgoKUFBQAADiV6Dif8RPP/1U4/E8//zzWL16NQCgsLBQLHIZGBjA2NgYcrkcFhYWsLCwQHBwMKZPny6+9tChQzAzMxOHbOQcZURERBU3ipSWlj72f2JlYSslRYaSEoD/QomIiIhI3VjYIo05ceIEysvL0aJFC3GYKmpYCoUCkydPRmRkJKKiopCQkICcnBxcuXIFV65cgZWVlVjYyszMRO/evcWeXQ9+1dfXh4eHB6RSKXR0dDB9+nScOXMG8+bNQ8eOHTV7kET0WDo6OrCwsKhxvVwuR+/evWu1LTs7O3z00Ue1auvp6YnY2FiUlZVVKYAVFxerFNeMjIzw/vvvIy8vD/n5+SgoKFD5+uD/jQcLYpU90DIyMhAVFQUAKtstKipSKXI9uD9LS0sMHDhQ7GEGAJ999hmcnZ0hlUohl8vFIqK5uTnMzMxU5lIjIiLSVn/99Rc++ugjBAcH47333ntkWysrJfT1BZSUSJCcLIObmwJKpRIlJSUwNDRUU8RERERE1JyxsEUak5mZCVNTUwwcOFDToTQbdnZ2WLZsmfi8qKgIMTExYqHrwV4YkZGRSE9PR3p6OkJDQ6tsa+PGjRgyZAgAYMaMGeLcPEREjyKRSMR5vczMzGpsJ5fLMWvWrFpt09bWFlFRUSqFr9zcXHFIRldXV7FtUVEROnXqhKysLHFYRoVCgcLCQhQWFiI3N1el7apVq2rc74ABA7B582YAFXe5jxs3DsbGxmLRq/KrhYUFXF1dVYZmLSkpYS8xIiJqNAoLC3H9+nVERUXh1VdffeT/aIkEcHRUICpKBwkJMpw8+S0WL16MkSNHVhkdgoiIiIioIbCwRRozdepUTJo0CcXFxZoOpdkyNDREy5Yt0bJlyyrrAgICcPjwYURGRoqFr8qv2dnZ+Ouvv8TCllQqVXfoREQq9PT0YGlpqdI7qzqWlpb45ZdfxOdKpRJ5eXni3GRyuVxcV15ejsmTJ6OkpARJSUnIyclBdnY2cnJykJOTo/KhX3FxsTjUY3UeLoL5+vpCIpHA1NQUpqamMDMzg6mpKeRyOdq3b69S1Nu3bx/09fXF9aampjAxMYGRkREMDQ0hk8nqmi4iIiIVffv2ha+vL+7cuYPvv/8er7766iPbOzn9W9gyNTVFaWkp4uPj1RQtERERETV3LGyRRlXetU+Nj4GBAVq3bo3WrVtXWceeBkTUVEilUpiZmYnzDT7I1NQUn3zyCRwcHJCUlARBEMR1CoUCZWVlKttZt26dSvHrwa+tWrUS2xYXF4uvzcjIQEZGhsp+FQqFWNgSBAHz5s1T2deDgoKC8OOPP4rPhw8fjvLycrHoZWRkJD68vb3x8ssvi20PHToEAGK7B79W9jwjIqLmQSqVYtasWXjjjTewadMmTJs2DQYGBjW2r5xnKzFRhi5dnAAACQkJaomViIiIiIiFLdKI1NRU2NjYQCKRaDoUegIsahFRcyeTyVR6Sunr62PEiBG1eq2BgQFu3ryJvLw85ObmVvnq5OQkti0vL0dwcLC4rrJdQUEBBEGAsbGxyrbDw8NRUlJS7X67deumUthasGABMjMzq23bunVrHD58WHw+dOhQZGRkiMUvAwMDsWDm5uaG//73v2LbPXv2oLCwsEqxzMjICKampvDy8hLbCoLAcwEiokYiJCQEK1asQGJiIn788UdMmjSpxraVha2EBBmcnZ0BAImJiVAqlRzNgYiIiIgaHAtbpHbZ2dno3bs3zM3N8cMPP8Dd3V3TIREREamNRCIRe4k9jq6uLr7//vsqywVBQHFxMRQKhcry7du3o7CwEAUFBSgqKhLnDissLFQpmAFAx44dkZWVJbYrKioSvzcyMlJpGxcXh/T09Gpj9Pf3VylsrVmzBtHR0dW2dXd3x19//SU+HzRoEO7du1elAGZhYQErKyt8+eWXYtsffvgBGRkZMDIygrGxsUpvNFNTU7Rp00Zsq1AoOEQjEVEd6erq4pVXXsGHH36I9evXY/z48TX+LXVyKgdQ0WPL3t4eUqkUpaWlSEtLg52dnTrDJiIiIqJmiIUtUiuFQoFXX30V2dnZMDMzq/IhGxERET2eRCKBoaFhleVBQUG13saWLVtqXKdUKlWe79mzB/n5+VWKYEVFRSrzkgEV87QkJSWptK386uDgoNK2oKAAxcXFKC4uRlZWlso6V1dXlefbt2/HtWvXqo3XwsIC4eHh4vNx48YhNDS02iEZzczMsHXrVrHt7t27ERcXJ65/uH3Xrl3FXmUFBQWQSqUwMDBgTzMiapLGjx+P1atXIzo6GsePH0f//v2rbefoWPF/IiFBBh0dHdjb2yMxMRHx8fEsbBERERFRg2Nhi9Rq5cqVOHnyJAwMDLBx40bo6upqOiQiIiJ6yMPDSPn6+tb6tf/73/9q3Xb//v0oKCioUgDT19dHXl6eStshQ4YgICAABQUF4msqe6c9XFwrLCxEWVkZcnJykJOTo7Lu4bnDfvrpJ5VeZA+SyWSIiYkRn8+dO1ccotHQ0FB8VBbE9u/fL84d+v333+P69esq6ysfBgYGGD58uNg2JiYGeXn/x959hzdZr38cfz8Z3XTSmbLaAkVGGaIIKLKHKEtFAQURFBHFvcDzQxQVj6LHCTIEDggigsiQobiOWzYCQtltWmhp09Kd9fsj5qGhLcs26bhf15UryTOSO99WbPLJ9/6exdvbGx8fH3x8fNTber1eQjQhhNv4+fnxr3/9i+DgYHr16lXhcTExjhlbqala7HaIjY3FaDSSmppKhw4d3FWuEEIIIYSooyTYEm6zfv16taXQG2+8QatWrTxckRBCCCE8KTQ0lNDQUJdtiqIQHR1NWloadrtd3T5p0qRLftxly5aRl5fnEpg5L+fPRuvfvz/x8fHq/tLHK4riEioVFha63C59X1EUly/sfP/992zYsKHCGgcMGKAGW2+++SaffvppucdpNBp27NhB/fr11WPXr1+vBmDOEMx5mTp1KmFhYWoNe/fuddlfOjS7+uqr1baTWVlZpKam4u3tjZeXF97e3hKqCVFHDR8+/KLHGAyOf0vz8zXk5Ch07dqV8PBw9d8fIYQQQgghqpIEW8ItDhw4wCOPPALA/fffz+DBgz1ajxBCCCFqr8DAwDKzuCpyzz33XPLj/ve//6WoqKhMO8aCggKKi4tdQqAhQ4Zw1VVXlTm+oKCAoqIivL29XeqNiopS2zIWFRWp+2w2m8uxqamp7N+/v8Ian3rqKfX2V199xfz58ys89vvvvyc+Ph5wfOno5ZdfdtmvKIoaiH366ae0bNkScLRv/O9//+sSmDkDsYceeoimTZtebCiFEDVESUmJGsKX5utrJzTUSlaWltRULY8//rgHqhNCCCGEEHWVBFuiytntdp5++mkKCgro2rUrzz33nKdLEkIIIYS4bFqtFn9/f/z9/S967IABAxgwYMAlPe706dNdWjja7XaKi4spLi6mqKjI5fkmTJjAzTffTHFxMYWFhepxzkvpVott27bltttuK3OMMzw7/3V4eXlRUlLiUofzWJ3u3NuGlJQUduzYUe5rGTVq1CW9ZiFE9ffee+8xZ84clixZQps2bcrsNxgcwZbRqKVlS4sHKhRCCCGEEHWVBFuiyimKwvvvv8+0adOYOXOmywcjtYnZDBkZGk6d0pKdreXmmz1dkRBCCCFqIkVR1DaDQUFBLvsSEhJISEi4pMcZOnQoQ4cOvaRjZ8yYwaRJk7BarZSUlFBcXKxeFxUV0aBBA/XYwYMH07p1a5ewzHlsw4YNL/2FCiGqtQMHDnDmzBk14DqfwWBlzx7HOlvgmGFqMpnKtJgVQgghhBCistXOhEFUOwaDgblz53q6jCtitcKZM47AKj3dce24aEhPd1yfOqUlM1OD3X6uBVFMDKxapaVBA/n2ohBCCCFqBo1Go4ZqFYmPj1dbGAohaq+JEyeyatUqNmzYwNGjR2nSpInLfoPBCoDRqOXYsWP06NEDb2/vC7ZLFUIIIYQQojJIsCWqzIYNG9BoNPTr18/TpVySQ4d0rF/vo4ZWjiBLS0aGBqv10hZO1+nsRERYKSlRMBq13HFHKKtXZxIRYbv4yUIIIYQQQghRTbRo0YIePXqwdetWZs+ezcyZM132x8Q4gq3UVC0RERHqDM7c3NxLXudQCCGEEEKIKyHBlqgS+/fv5+GHH6awsJClS5dy4403erqkC7LbYcyYUI4dK/8/CY3GTni4jchIK5GRjuuoqHO3HfdthIba0Gjg1Cktw4ZFcvSojhEjwli5MpPgYLubX5UQQgghhBBCXLlJkyaxdetWPv30Ux5//HEiIiLUfaWDLT8/P0JCQsjOziYlJYWrrrrKUyULIYQQQog6wC3B1saNG1m7di0mk4lGjRoxduzYC64N8PPPP/PJJ5+QkZFBVFQUI0eOpH379up+u93OihUr+Prrr8nPzycxMZFx48YRHR2tHpOXl8eCBQvYtm0biqJw7bXXcs8997i0VTl+/Djz58/n8OHDBAYG0q9fPwYNGnRZtYiyTCYT48aNo7CwkK5du9K1a1dPl3RRf/zhxbFjOvz9bYwfn18muKpf38blLA0WFWVjyxbo3NnK/v167r47jOXLz+DnJ+GWEEIIIYQQoma45ppr6NChA9u2bWP+/Pk8++yz6j5nK0LnGluxsbESbAkhhBBCCLfQVPUT/PTTTyxevJhbb72VmTNn0qhRI2bMmEFOTk65x//111/85z//oUePHsycOZOOHTvy73//mxMnTqjHrFmzhi+//JLx48fz8ssv4+3tzYwZMygpKVGPefvttzl58iRTp07lmWeeYf/+/S4L3hYUFPDSSy9Rv359Xn31VUaNGsWnn37KV199dVm1CFdWq5UHH3yQY8eO0aBBAz744AN0l5MIeciqVb4ADBhQxJNPnuXuuwvo06eYpCQzUVGXF2o5xcfDsmVZBAfb2LbNi3HjQiguruTChRBCCCGEEKKKKIrCgw8+CMB///tfCgsL1X3OYCs9XYvF4gi2AIxGo/sLFUIIIYQQdUqVJw7r1q2jZ8+edO/eHYDx48ezfft2vvnmGwYPHlzm+A0bNtC2bVtuueUWAO644w727NnDxo0bue+++7Db7WzYsIGhQ4fSsWNHwNEeYfz48fz+++906dKFlJQUdu7cySuvvKIubD127FheeeUV7rrrLkJDQ/nf//6HxWJh4sSJ6HQ6GjRowLFjx1i3bh29evW6pFouVVFREcUeTDQUReHs2XwKCgqw26t2xtDrr7/Ot99+i7e3N++++y4+Pj4UFBRU6XP+UyUl8MUXAUA+AwacoaCg5KLnXIyiKOTn59OoUS4ffpjP3XeH8d13GiZO9OKtt0xotf+8buHKOebu+D0XDjLm7idj7n4y5u4nY+5+tW3Mvb29PV2CELVK7969efDBBxk2bBi+vr7q9ogIG3q9HbNZ4dQpLQaDAYCUlBRPlSqEEEIIIeqIKg22LBYLR44ccQmwNBoNrVu35uDBg+Wec/DgQQYOHOiyLSkpid9//x2A06dPYzKZaNOmjbrfz8+PhIQEDh48SJcuXTh48CD+/v5qqAXQunVrFEUhOTmZa665hoMHD9KiRQuX2URJSUmsWbOGvLw8AgICLlrL+cxmM2azWb2vKAq+vr4MGjSIHTt2XGS0apfi4uIybR1rgnvuqdrH37gREhOr9jmEEEIIIeqydu3asX37dk+XIUStodFoeO6558rZDtHRVk6c0GE0SrAlhBBCCCHcp0qDrdzcXGw2G8HBwS7bg4ODK2xPYDKZCAoKctkWFBSEyWRS9zu3XeiYwMBAl/1arZaAgACXY0ovfOusy7nPeeyFnud8q1evZuXKler9Jk2aMHPmzHKPFUIIIYQQQgghapqSkhK8vLwARzvCEyd0pKZqadWqFQMGDOCaa67xcIVCCCGEEKK2q/6LH9UgQ4YMcZnhpSgK4FgTrPT6X+6Unp5B167XuWwLCAjg/vvvZ/To0fj5+VXq83377bd07dq1RqyrBZCXp3DttREUFyt8/nkGrVpZK+VxFUUhMjKSU6dOubT0+eQTH6ZMCQbgiSdymTCherdprEkqGnNRdWTM3U/G3P1kzN1Pxtz9atuYOz9wF0JUroyMDF588UX27t3Lli1b0Gq1xMQ43j+lpmoZPLgznTt39nCVQgghhBCiLqjS9CEwMBCNRlNmhpPJZCozi8spODiYnJwcl205OTnq8c7rnJwcQkJCXI5p3Lixekxubq7LY1itVvLy8lwep7y6Sj/HxWo5n16vR6/Xl9nu4+OD1kOLKjVqFIui6LHbzdx11wds2/YO+/bt44033mDp0qU8/vjj3HHHHWg0mit6fKvVis1mU193//79K7P8KrdunS/FxQHEx5u5+mov/s4i/zFFUfD398fX19flA6IxY6CoyMKLLwbx+uv+hIebGDVKwq3KUNGYi6ojY+5+MubuJ2PufjLm7lfbxry8v8eFEP+cn58fX3/9NSaTiY0bN3LTTTdhMJwLtoQQQgghhHCXKg22dDodcXFx7N27V21HYLPZ2Lt3L/369Sv3nGbNmrFnzx5uuukmddvu3btp2rQpABEREQQHB7Nnzx41yCooKCA5OZk+ffqoj5Gfn8+RI0eIi4sDYO/evdjtdhISEtRjli1bhsViUWcX7d69m5iYGAICAi6plppAo9Hg7x9DXt5xcnIS2LRpE6tXr+a1114jJSWFjz/+mDvvvPOKH/+1115j27ZtzJ49m/r161di5e6xerVj8eMhQworLdS6mAkT8jGZNLzzTj2eeSaIevVsDBpU5J4nF0IIIUSNY7eD2QxWq4LZDBaL47bFAhaLct79c7fL23b+8Var47a/P2Rl+blss1jAZnOc49jm+tjnb3Me+9BDZ2nZ0uLpYRNCVDJ/f39Gjx7Nf/7zH95//30GDBhQJtiy2WxkZmYSGBiIj4+PJ8sVQgghhBC1WJX3ixs4cCDvvfcecXFxJCQksGHDBoqLi7nxxhsBePfddwkNDWXEiBEADBgwgGnTprF27Vrat2/Pjz/+yOHDh7nvvvsAxzdKBwwYwKpVq4iOjiYiIoLly5cTEhJCx44dAYiNjaVt27bMmTOH8ePHY7FYWLBgAZ07dyY0NBSArl278umnnzJ79mwGDRrEyZMn+fLLLxk9erRa+8VqqSkiIqLIyzvOvn0ZaDRXMWzYMAYOHMjixYtJSkpSWyaePXuWAwcOqON4MWvXruXdd98F4JdffnFpw1gTnD6t4YcfvAFHsOVOTz99FpNJw3//68/kySEEBmbRvXuxW2sQQgghagK73RGeOIKTc0GN87ZrsFJ22/lhzKVtKx3mlN12Lhwqf5vZrJTZ53wNztvOY84de+4xzr+22dz07RuCLn7IJRg+vECCLSFqqbFjxzJnzhx27tzJTz/9RExMD+BcsNWnTx/279/PJ598QteuXT1ZqhBCCCGEqMWqPNjq3Lkzubm5rFixApPJROPGjXnuuefUdn6ZmZlqsALQvHlzHn74YZYvX86yZcuIjo7mySefpGHDhuoxgwYNori4mDlz5lBQUEBiYiLPPfecSz/9hx9+mPnz5zN9+nQUReHaa69l7Nix6n4/Pz+mTp3K/PnzeeaZZ6hXrx7Dhg2jV69el1VLTdC4cTRHjsDx42lYraDVgre3N+PHj3c5bvbs2bz11lv069ePZ599Vp3dVp79+/fz6KOPAjBhwoQaF2oBfPGFLzabQvv2JTRuXDlra10qRYEZM3LIzVVYs8aPceNCWL48i44dPbMWmxBCiLrDYoHiYoXiYoWiIigpUTCbFYqLHSFLSYlCScnFtztvO+47blssjmOd147ZRYrLtku5dgRKUW4OdWoenc7+9wV0OtBq7S7XjosdrRb1OOft0tdaLQQE+GCxFKLV2tFozj2e47jSty+8X6uFhAQJtYSorerXr8/w4cNZtGgRH3/8MQ8/3A0Ao9ERbEVGRrJ//35SU1M9WaYQQgghhKjlqjzYAujXr1+FrQenTZtWZtt1113HddddV+HjKYrC8OHDGT58eIXHBAQEMHny5AvW1ahRI6ZPn37BYy5WS03QtGkkW7eC2ZzKoUM6EhPL/7AhLy8PjUbDxo0b2bx5M3feeSePPfYYUVFRLsdlZ2dz7733UlhYyPXXX8+zzz7rjpdR6VatcrQhHDrUM2tcabXw1lsmzp7VsHWrD3ffHcrKlZnyDWchhKjhHO3YzrVqc942m1EDIUfoc+62MzSqaL8zOHJuKy52nOMIqEoHVcrf+85tO7fdsa3mBEUXr9MZ4Gg050Kbc9tKBzznQpfyQp2K9pcOcFxDonO39XrXcKei40tvKx06Offp9eVf63SUu60yl29VFIXo6GjS0ky1Yo0tUXtt3LiRtWvXYjKZaNSoEWPHjr3gl/Hy8/NZtmwZv/32G3l5eYSHhzN69Gjat2/vxqprnxtuuIFFixZx7NgxYmIcXxDMydGQl6dgMBgASElJ8WSJQgghhBCilnNLsCU8q1GjRvj4xFNUFMiuXfoKg60XXniBUaNG8corr7Bp0yaWLl3KZ599xvjx45k4cSKBgYFYrVYmTZrE8ePHadiwIe+//766RllNcviwll27vNBq7dxyi+fWt/Lygg8/zGbEiFB++82bkSPDWLUqk7g4984gE0IId7PZoLBQoaBAIT/fcV1QoLiEN+cHPs5wp/QMIddjz22zWh3P4bgo2Gznnrf0NrvdcTl/27lrBUWBoqL6Lu3kLrSGkd1eU4IjRyjj5eUITLy97X/fBy+vc9udt728HMc7jiu73cvLGcJUfK3XO8KcC13r9RATE8GZM6dKBVbnAiLnNo0Gt62PKYTwvJ9++onFixczfvx4mjZtyvr165kxYwZvvfUWQUFl22haLBZeeuklAgMDeeyxxwgNDSUzMxM/Pz8PVF+7xMTEAGA0GqlXz05QkI2cHA1Go1aCLSGEEEII4RY1L5EQl23MmDGcOfMsb7wBu3fnM3x4xetJNW3alAULFvD777/z0ksv8ccff/DOO++QnZ3NzJkzmTVrFt9++y0+Pj7MmzdPXbOsplm92vGGtlu3YsLCbB6txdfXzsKFWdx2W33+/FPPnXeGsXp1JjExnq1LCCHOZ7VCTo6CyaRxuZw96wymNOTnuwZVjuBKU+r2uWNrFv0/fgSt1jUIcoZDrrfPhUSlA6PS+3U6Oz4+joDJ29sRSHl5Oe47tvP3vtKX8rdpquGPwTF7CLy9bTJ7SAihWrduHT179qR79+4AjB8/nu3bt/PNN98wePDgMsdv3bqVvLw8XnzxRfWLeBERERd8DrPZjNlsVu8rioKvr6962xOcz+up5y9Pw4YNufPOO4mNjQXAYLD+HWzpaNCgAeAIvapTzZejOo55bSdj7n4y5u4nY+5+MubuJ2PufnV5zCXYqiM6dnRc79p1aR/MdezYkc8//5zNmzfzxhtvMGnSJMCxvtmaNWt48sknadmyZVWVW6Xsdli92tmGsOKQz52CguwsXXqGIUPqc/SojhEjwli16gyhoRJuuYvJpHD4sI7kZB1nzmhp2NBC06YWmjSxUGr5PiFqPLsdiooU8vLOBVTZ2WXDKpOp7LacnMpPQRTFjp/fucv5s4fKC3/OD3ycs4xKB0IajWOGj0bjnNljR1HO3XdcHKGJ67bzj1WIjAwlJ+fM37OGyq5hdCnbtFqZXSSEEFfKYrFw5MgRlwBLo9HQunVrDh48WO4527Zto2nTpsyfP58//viDwMBAunTpwuDBg9FUkOqvXr2alStXqvebNGnCzJkzCQ8Pr9TXcyXObw/vSdHR0Xz88cfq/bg42LcP8vJCSUpKAiAtLY3o6GhPlVgpqtOY1xUy5u4nY+5+MubuJ2PufjLm7lcXx1yCrTri6qsd1/v26Skp4ZI+qFcUhb59+9KnTx819W3WrBlff/013t7eVVht1dqxQ8+xYzr8/Gz07eu5NoTnCw+3sXz5GQYNqs+hQ3pGjQplxYozBATIt9Uri8UCJ09q1QDryBHH9eHDOjIzy1+sRKu106iRlaZNzTRtalEvCQkW/P3lZ+NOxcWQmakhM1NLRoaGM2c0ZGRo/97m2J6ZqaGwUFHby5VuKWe3O7YDLi3ozh3j+HfOeV9RwMfHNXTx97edd//cdl/fc/ed+3x9bfj7O8IWu921zZ3zOUvfL11rRcf6+cHJkz7k50N+vkJh4bkZUReaKVV6/z9tlVevno3gYMclKMhOYKCtwvE4NybnH+O4+PjYq3Xg45w9lJZWIrOHhBDCQ3Jzc7HZbAQHB7tsDw4Oxmg0lnvOqVOnyMjIoGvXrjz77LOkp6czb948rFYrt912W7nnDBkyhIEDB6r3ne+BMjIysFg8sw6uoihERUWRnp5ebf8/FBYWCPizb99Z2rXzAeDkyZOkpqZWGCJWZzVhzGsbGXP3kzF3Pxlz95Mxdz8Zc/erbWOu0+ku+UtlEmzVATabjZEjO6EoJygu3sHBgzpatbr0N2bnT2WsyaEWnJut1a9fEX5+1es/+NhYK8uXn2Ho0DB27fLinntC+e9/z+Dj4+nKapacHMfsq/MDrGPHdJSUVPwJelSUlfh4C+HhVo4d03HokI78fA1HjjgeY9Mm1+NjYs6FXKVDL0+3t6xpTCaFQ4f0ZGRoyg2sMjK0nDmjITfX/R+M5Oa6/SkvUcg/fgRFsRMUZFcDqnOXsttCQpzXjhBL/8+78gkhhBBVym63ExgYyP33349GoyEuLo6srCy++OKLCoMtvV6PvoL/yXn6gwK73e7xGkorLCwkNTWVwMBADAZ/AFJStERGRnLTTTdhMBgoKipSWznWRNVtzOsCGXP3kzF3Pxlz95Mxdz8Zc/eri2MuwVYdoNFoOHHiBHZ7GpDCzp3xlxVs1SZmM6xZ43hzNWRI9WhDeL6mTS0sXZrFbbeF8dNP3jzwQAhz52ajk/9aK2QyKbzzTj3274d9+yLIyCh/9hU4ZuA0aWIhPt4RSDmv4+IsZWbH2e2QlqYhOVnPoUOOoCs52XGdmanFaNRhNOr47jvX5wgJsaohV1KSmRtvLMJgkLALoKjIMXN0504vduzQs2OHF0ePXvovt15vJyzMRv36VsLDbYSF2QgPd9yvX99G/fq2v2fSnWslpyicd/tc+7my+861oXO27CsocJ0NdSWzpMxmpcJ2eI5a7BfcVrrOevV06PUllzx7rKIZU76+jlZ9QgghRHUXGBiIRqPBZDK5bDeZTGVmcTkFBwej0+lcZgwZDAZMJhMWi0Vdd0tcmWeeeYaVK1fyzDPPEBv7FABGoxadTseHH37o4eqEEEIIIURtJ3/N1xEGg4G0NEewtXt3oqfL8ZgffvDmzBktYWFWbrih2NPlVKhNGzMffZTFqFFhbN7sy/TpVqZPr7ZTRzxq2zY9EyeGkJLi/OfM8Ul9ZKRj9tX5AZbBYOVSO6IoCsTE2IiJKS7z+5KdrZQbeJ08qSM7W8tvv2n57Tdvli51HJ+YaKZ792J69CiiY8eSOjHjxWaDw4d17NjhCLJ27tSzb58es7nsrLnYWAtRUa4BVXi4tVRw5dgXFFS929ZVNUdbvGjS0s7UuW/iCCGEqLt0Oh1xcXHs3buXa665BnB0pdi7dy/9+vUr95zmzZvz448/YrPZ1HArLS2NkJAQCbUqQUxMDABGo5Frr7UCkJoq35gRQgghhBDuIX/R1xGxsbH88ccfQCq7dtWBT9Qr4GxDeMsthdV+BlTnziW8+24248eHMn9+AB06lDBoUPVZE8zTbDb48EN/XnklEItFoVEjCy+8oCMiIpO4ODP16lXth/4hIXY6diyhY8cSl+0FBY42iIcO6Th4UMfPP3uzfbueAwcclw8+CCAgwMb11xfTo0cx3bsXER1dO2Zzpadr1JlYO3d6sWuXnrNny6aIYWFW2rY1065dCe3amWnTpoTQUAlphBBCCFGxgQMH8t577xEXF0dCQgIbNmyguLiYG2+8EYB3332X0NBQRowYAUCfPn3YtGkTCxcupF+/fqSnp7N69Wr69+/vwVdRe5QOtgwGR7CVlqb9e51SOxkZGQBERER4rEYhhBBCCFF7VfOP9kVliY2N/ftWCgcO6Ckqos6t21RQoLBxo+NFDx1aPdsQnm/AgCImTTrLu+/W4/HHg0lMzKR587rZRrK0rCwNkycHs3Wr4+d5882F/PvfOTRvHkVamtmjM1n8/Oy0bm2mdWvz31vOkp2t8P333mzd6sM33zhmDX75pS9ffukIWlu0MNOjRxHduxdz9dXVfzaX1epoNXPsmI5jx+D774PZvt2L9PSy39L18bHRpo2Zdu3MtG3rCLJiY611etaVEEIIIS5f586dyc3NZcWKFZhMJho3bsxzzz2ntiLMzMx0WRu4fv36TJkyhUWLFvHkk08SGhpK//79GTx4sGdeQC1TOtiKjLSi0dgxmxUyMjQsWvQq//nPfxg9ejQvv/yyhysVQgghhBC1kQRbdYQz2PL2PklxscK+fXratzdf5KzaZdMmHwoKNDRubKFdu5rz2p988iw7d3rxv/95M25cKBs2ZFT5bKTq7JdfvHjwwRDS07V4e9t54YUcRo0qQKOpvklJSIidQYOKGDSoCJsN9uzRs3WrI+jasUPP/v2Oy3vv1aNePdfZXFFRnpnNlZ+vcPy4lhMndBw7puX4cR0nTjjCrJQULRZL6fF2BHQajZ3mzS20a1dC27aOIKt5c0u1nx0phBDi4k6cOIHJZCI3N5ezZ8+q12fPnsXPz4/777/f0yWKOqBfv34Vth6cNm1amW3NmjVjxowZVVxV3VQ62NLpICrKitGoIzVVq+5LTU31ZIlCCCGEEKIWk48b6whnsOXnl0JxMezeXfeCrVWrHB++DxlSWKNmi+h08P772fTtG86RIzoeeyyYDz/MrlGvoTJYrfDOOwG88UY9bDaF+Hgzs2dnc9VVNWsGm0YDSUlmkpLMPPpoHllZGr77zputW7359ltvsrK0bNjgy4YNjt/Xq65yzObq1q2Y8HAbOp0dLy/Q6+0ut/V6LnntMAC7HU6f1nD8uI7jx7VlrjMzL7xGgpeXndhYKx066EhMzKVt2xJatzbj7193Q1chhKhu7HY7hYWF5OTkkJubi91uJzHx3Fqrc+bMIT09ndzcXEpKSsjIyFBDqwYNGvDxxx+rx95xxx0cP3683Odp1KiRBFtC1DHO8MpkMlFYWIjBcC7Ycr73lGBLCCGEEEJUFQm26ohGjRrRpEkTfHyiyM6GnTu9gAJPl+U2Z844wgOAIUNq3usOC7Px4YdZDB1anw0bfJk9u4QHHsj3dFluc/q0hoceCuF//3P8DIcNK+CVV3JqRYgSGmpjyJBChgwpxGp1hM7ffOOYzbVzp559+xyXd9+td9HH0mrtasil1ztCL53Ocd/Ly45O57guKHDMxioqunASFhxso3FjCw0bWmnUyEKjRs5rC1FRNnQ6hejoaNLS8j3a/lEIIWq7nJwcTCaTep2dnU1OTg45OTmEhoYycuRI9dg777yTkydPkpubS25uLmbzuS8ytWnThi+//FK9v2jRogrDKpvNdcZwVFQUxcXFBAYGUq9ePfUSGBhIVFRUJb9iIUR1FxgYiL+/P/n5+aSmpmIwRPP775CaqqVnTwMAKSkpHq5SCCGEEELUVhJs1RFdu3blxx9/ZPNmL8aMcXx4XpesXeuD1aqQlFRCfLzV0+VckfbtzUyfnsOzzwbz8suBtGljpkuXEk+XVeW+/96Lhx8OISNDi6+vjZdfzuH222vGGmmXS6uFdu0c61E99lieGshu3erNr796UVCgwWwGi0WhpATsdtdpe1argtWqUFR0ac+n0dgxGKylAqtz1w0bWggKkrBKCCEqi9VqRas9Nxt2y5YtZGVllQmtcnJyaNKkCS+++KJ6bOfOnTGZTOU+bps2bVyCrePHj5cJq7RaLUFBQdSr5/olidtvv528vDyCgoJo0KABdrudgIAA6tWrR0hIiMuxq1atutKXLoSohRRF4d5770Wv1xMQEIDB4HiPZTRqMRgcwdbZs2fJyckhKCjIk6UKIYQQQohaSIKtOiYpyfGt3UOHdOTnK7Vixsul+OwzP8DRhrAmu+uuArZt82LlSj8eeCCEjRsziInxzBpMVc1igVmz6vH22wHY7QqJiY7Wg02b1qzWg/9EWJiNoUMLGTq07O+t3e5oz2g2g9msqGGX89psVsrsc27z8oKGDS3ExlrR162MWwgh/rGSkhJMJhMmkwmNRkNCQoK6b+bMmWRlZamzqpzHZWdnc/XVV7Ns2TL12EceeaTCsOrMmTMu94ODgykuLiYoKIiQkBCCg4MJCgoiKCiIJk2auBw7a9YsNBoNgYGBBAYGEhQUhJ+fH0o5PYwfeeQRwPEBtWMGbprMwBVCXLKnn35avR0T4wi2UlO1+Pn5ERoaSlZWFqmpqRJsCSGEEEKISifBVh0TEWEjOtpKWpqWvXv1XHtt7Z/xc+yYlu3bvdBo7AwaVLODLUWBV1/NUdvT3X9/KJ99lomXl6crq1xGo4ZJk0L49VdH68GRI/N54YUcfH09XFg1oiiO9dd0OvD1tQPyQaQQQlwOi8VCTk4O2dnZ6sVkMhEaGkqvXr0AxxpVI0aMICsrS92fn3+uFfD111/P8uXL1fuLFy+uMKzKzs52ud+5c2cKCwsJCgpSg6rg4GCCg4OJjo52Ofbbb79Ff4nfROjUqdMlHSeEEJWpdLAFjjWes7KySElJ4aqrrvJkaUIIIYQQohaSYKsOmTRpEj/++COxsR+SlnYLu3bVjWBr9WpHGnL99cVERNT82U2+vnbmzs2if/9wtm/3Yvr0QF56KdfTZVWar7/2ZvLkYLKztfj723jttRwGD67ZgaQQQoiqZbfbOXHihEtI5QyisrOziYuLY+zYsYBj7ajWrVtXGEB17dpVDbYURWH37t1ljlUURZ0JVdq4ceOw2+0EBwerM6uct89v7Td37txLfn2XGmoJIYQ7FRUVkZKSgt1ux2BoAZwLtm655RY6deqktiUUQgghhBCiMkmwVYfk5ORw6tQp2rZ1rLuwa1ft/5DEbj8XbNX0NoSlNW5s5e23sxkzJoyPPgqgXTszw4bV7NdnNsPMmYF88EEAAK1alfDBB9nExdXMNdGEEEJcPrvdrrbMs1qtbNy4sUxY5Qys2rZty//93/+p53Xt2hWbrfwvsHTt2lUNtjQajcu+wMBANYQKCQmhdevWLvtnzZqFXq93CaqCgoLKPA7Ao48++o/HQAghaorPP/+cxx9/nBtvvJH33vsYgKwsLYWF8MADD3i4OiGEEEIIUZtJsFWHONvaBASkALBrVy3rX1eOPXv0HD6sx8fHRv/+RZ4up1L17l3M5Mln+c9/6vHUU0G0aGHmqqtq5vpTJ09qmTgxhO3bHb+TY8fmMXVqLt7eHi5MCCHEFbPb7eTn52M2m9XZSmazmfnz55OVlcWZM2c4c+aMejsrK4tu3boxZ84cwDEr6v77768wrCo9i0mj0RAVFYXdbldnR5W+lF4HC2DDhg0EBAQQFBSETnfhP4f79u37T4ZBCCFqrZiYGACMRiNBQXb8/W3k52swGrXEx8uX04QQQgghRNWRYKsOiYqK+vuWI9g6elRHTo5CUFDtXZtn1SrHbK0+fYoJCKh9r/Pxx8+yc6ee777zYfz4UDZsyKhxP88vv/Th8ceDycnREBRk4/XXTQwYULtCSCGEqC0sFgtnzpzBZrOpX5gpKirilVdeUYMq5yU7O5vi4mIGDhyohlVarZaXX34Zq7X8DzzPnDmj3tZoNHTr1g2tVltuWBUbG+ty7u+//37Jr6NRo0aX+9KFEEKcp3SwpShgMFg5eFBDaqqWJk3MZGZmkp2dTfPmzT1cqRBCCCGEqG0k2KpDnB9AZWen07ChhRMndOzeref662vnOltWK3zxhbMNYYGHq6kaWi28+242/fuHc+yYjkceCWb+/GzK6Y5U7WRlaXj11XosXeoPQLt2jtaDDRrItzuFEMKdbDYbWVlZWK1WIiMjASguLmbmzJlkZGS4XLKysrDb7S5hlZeXFx999FGFYVVu7rl1IDUaDSNGjMDb25vQ0FDCwsIICwtzuV3akiVLquhVCyGE+KecwVZeXh65ubkYDKEcPKjHaNTy559/0q9fPyIiItixY4eHKxVCCCGEELWNBFt1iDPYSktLIynJ/Hew5VVrg60ff/Ti1CktwcE2bryx2NPlVJnQUDsffpjN4MH12bzZl/feM/PQQ3meLqtCZjMsXOjPm2/WIyfHkcBNmJDHM8/koq/9y74JIYTb2O12iouL8fHxARxh1QcffEB6ejrp6emcOnWKU6dOkZmZidVq5aabbuLDDz8EHG3+5s+fj8VStsWtRqOhpKTE5f6jjz6Kr69vuUGVr6+vy/mvvvpqFb5qIYQQ7uLn50dwcDAmkwmj0UhMTAMAUlN19OljAOD06dMUFxfjLT3GhRBCCCFEJZJgqw4pHWwNG1bC2rW+7NpVe5OEVav8ALj55kK8avlyYklJZmbMyOHJJ4N57bV6JCWVcMMN1S+w/Pprb154IZDDhx2/d1ddZWb69Byuu6761SqEEDWBxWJh/fr1alDlDK2c93v27OkSVr311luYzeYyj6MoCkVF59rAajQaHn74Yfz8/Khfvz4RERGEh4cTHh5OaGgoWq3W5fxHH320al+oEEKIaik6OloNtgwGx8zd1FRHC1lfX18KCwsxGo00adLEw5UKIYQQQojaRIKtOiQ6OprGjRsTHR1Nq1aFQFCtDbYKCx1rNwEMG1bo4WrcY8SIArZt07N8uT8PPhjCxo2Z6ptLTzt0SMcLLwTyzTeOn0lYmJWnnz7LHXcUcN5no0IIUefZbDb++usvl5AqLS2NtLQ00tPTSUpK4vXXXwccAdTkyZPLDasA0tPT1dsajYZ7770XX19fIiMjiYqKIioqioiICMLCwtDpXP8sfPzxx6vuRQohhKgVDAYD+/fv/3vG1rlgS1EUYmNjOXToECkpKRJsCSGEEEKISiXBVh0SGBjIjz/+CMDZs3YAUlJ0nDmjISzM5snSKt2WLT7k5Wlo0MDC1VfXndlAL72Uw59/6tmzx4v77gth1apMPNn1Iztb4c0367FwoT9Wq4Jeb+fee/OZPPksgYF2zxUmhBAeYLFYOH36tBpUlQ6tmjRp4hIk9e/fv8KwytlaEBxhVZ8+fdDpdERFRbkEVs77pT3//PNV8+KEEELUSYMGDSIpKYk2bdqQl+cItoxGxzfXDAYDhw4dIjU11ZMlCiGEEEKIWkiCrTqqXj078fFmDh/Ws3u3nu7da9caVKtXO9bzGDy4EEXxcDFu5OsLH36YTf/+4ezc6cW//hXEzJk5bq/DYoElS/z4978DMZkc62j16VPI88/nEhdXPWaRCSFEZbFYLGRkZHDq1Ck1uDp9+jTh4eGMHj0acKx3lZiYSGFh+bOI27dvrwZbGo2GxMRELBYL0dHRREdHu4RVDRs2dDnX2WpQCCGEcLehQ4eqt48fPxds2e2OYAuQYEsIIYQQQlQ6CbbqsKQkR7C1c2ftCraysxW15d3QoXWjDWFpDRtaeeedbO6+O5QlS/xp376E4cPdNw7ff+/NtGmB/PWXo81l8+Zmpk3L5YYbas/vmBCibiguLiYzM5MTJ07w559/kp6eTlBQEEOGDFGPufbaa0lNTcVuLzsLtX379mqwpSgKYWFhpKenu8yqcgZXcXFxLudu3Lixal+cEEIIUcmioqwoip2iIoWsLA2xsbEApKSkeLgyIYQQQghR20iwVcfMmjWLJUuWMG7cOJKSnmTVKti9u3ats7VunS9ms0LLlmaaNbN4uhyP6NGjmMcfP8vrrwfy3HPBtGxpplWrqh2LI0e0TJ8exJYtjlAxJMTKE0+cZdSoAnTyL40QopooKCggIyODjIwMMjMzycjIIDAwkEGDBqnH9O3blxMnTpCbm1vm/Hbt2rkEW4qiYLfb0Wq1hIeHExkZSWRkJBERETRr1szl3I0bNxIUFIRGo6m6FyiEEEK4kdls5vjx42RnZ9OxY0ciImycOqUlNVXLNddcw3333UfHjh09XaYQQgghhKhl5OPmOsZsNnPq1ClSU1MZPNixdsfu3V4erqpyOdsQDh1a4OFKPGvy5Dy2b/di61Yfxo8P5csvMwgOrvx1rXJzFd56qx4LFvhjNivodHZGj87nscfOVsnzCSHE+UpKStRWgM5LvXr1GDZsmHpMr169OHbsWLmtANu2besSbOXk5Kihll6vJyoqivDwcCIiImjevLnLuR9//DH16tUjNDQUrVZ7wTpDQkL+ycsUQgghqh2j0Ui3bt3w8fEhOTmZmBirGmz179+JTp06ebpEIYQQQghRC0mwVcdERUUBkJaWRqtWZjQaO+npWtLTNURF2Txc3T+XkqLl11+9URQ7gwbVvTaEpWk08Pbb2QwYEM6JEzoeeiiERYuyqKyJAlYrLF/ux8yZ9ThzxvFhbo8eRfzf/+WSkFA3Z8oJISpXcXExGRkZ6ppVXl5e9OrVS91/yy23cPToUbKyssqcm5SU5BJs5efnq6GWj48P4eHh1K9fn/r165cJq+bOnYuvry/169cnODiYmJgY0tLSym03eH4LQSGEEKIucb6/LCoqIisrC4MhlB07IDX1wl/2EEIIIYQQ4p+QYKuOiY6OBiA9PR1fXzvNm1vYv1/P7t16oqJq/hpIztla111XQnR0zQ/q/qmQEDtz52YxaFA4W7f6MHlyMM2aWdDr7eh0oNPZ8fJyXOv1FV/r9XaXc1JTdbz0UiD79jnaWMbHO9bR6tGj5v8OCSHcw2q1kp6eTmFhIQkJCer2cePGcezYMdLT08nOznY5JykpySXYOnPmjBpq6fV6tRVgVFRUmTaA8+fPx9fXl/DwcPz9/VEUpcLaWrdurd6+0HFCCCFEXeft7U14eDgZGRkYjUYMhibAuWArIyODkydPkpiYiJ+fnydLFUIIIYQQtYgEW3VMTEwM4JixBdCmjZn9+/Xs2uVFnz41O5Sw288FW8OG1e02hKW1amXh5ZdNPPZYCKtWVe6byaAgG489dpbRo/PR166l2oQQlWj9+vUcOXKEkydPcvLkSU6cOEFqaipms5m2bduyfv169dj9+/dz7Ngx9b6XlxcRERFERETQokULl8d955138PHxITIykpCQkAuuXXXVVVdV+usSQgghhOM95rlgywqcC7YGDhxISkoKa9as4eqrr/ZkmUIIIYQQohaRYKuOcbaKyMjIwGw2k5RUwief+LFrV81PJfbt0/HXX3q8ve0MGFDk6XKqleHDC/HxsfPjj95YLApmM1gsChYLmM2Xfu08T1HgllsKefLJs4SGysw4Ieqq4uJijh49yrFjxzhx4oQaWgUEBPDee++px7388ssuYZWTTlf2z5AXX3wRrVZLZGQkERERhISEVDhrqn379pX2WoQQQghxZWJiYti1axdGo5GYGEewZTQ6gi2DwUBKSgqpqakSbAkhhBBCiEojwVYdExoaipeXFyUlJZw+fZqkJMcMnl279NjtUJM7Lq1e7XgtPXsWERhYdh2Uum7QoCIGDZLATwhx+YqLizl9+jQNGjRQt91+++388ssvWK3WMseHhoa63O/Tpw9nzpyhYcOGNGjQQL2OiooqE2716NGjal6EEEIIIaqEsyuI0WikQ4eywRZAamqqZ4oTQgghhBC1kgRbdYxGo1G/KVdcXEyLFmb0ejtZWVpSU7XExpb9gLImsNng888dbQiHDi30cDVCCFEzlZSUcOTIEf766y8OHjyoXo4ePUpYWBg7duxQj9XpdFitVurVq0dcXJxLYNWwYUPsdrs60+r//u//PPWShBBCCFHFSgdbzlaEp05pKS6G2NhYAFJSUjxWnxBCCCGEqH0k2KqDPv30U5f7LVqY2b3bi5079TU22PrlFy/S0rQEBdno0UNmJQkhxIU4A6zjx4/Tt29fdfvIkSP56aefyj2nqKiIvLw8AgICAEfLQF9fX6KjoytsFSiEEEKI2q9Tp0488cQTtGnThtBQGz4+doqKFNLTteqMLQm2hBBCCCFEZZJgS9CmjSPY2r1bz8CBNTMUWrXKMVvrppsK8fb2cDFCCFGNHD9+nN27d3Pw4EF1JtbRo0exWCwA/PXXX2pY1bRpU/bs2UOzZs3US/PmzWnWrBlRUVEuAVZ8fLxHXo8QQgghqpe2bdvStm1b9X5MjJUjR3R/dwRxzNiSVoRCCCGEEKIySbBVhznbRCUlmVmyBHbt8vJ0SVekqAjWr3cEW0OGSBtCIUTdY7FYOHbsmBpcPfDAA/j4+ADwzjvvsGzZsjLn1KtXj2bNmpGdna0GW88//zwzZsyQGVhCCCGEuGIGw7lgq107CbaEEEIIIUTlk2CrDlq9ejXTp0/nuuuu4/333ycpqQSA3bv12Gyg0Xi4wMu0dasPubkaoqOtdOpU4ulyhBCiyu3atYutW7eqa2AdPnyYkpJz//716dOHli1bAtCmTRsOHDigzr5yzsAqr4Wgr6+vW1+HEEIIIWqHw4cPk5qaSocOHTAYggBvUlO1DBxoYPz48cTGxmK1WtFqtZ4uVQghhBBC1AISbNVBer2e06dPq9+aa9bMgo+PndxcDceOaYmLq1nrbK1e7ZytVVDjQjkhhCjNbreTmZnJiRMnOHnypHo5ceIEL774Is2aNQPg+++/59///rfLuX5+fmr7QC+vczNw7777bu6++263vg4hhBBC1C133HEHRqORtWvXYjBEAmA0avH19WXatGmeLU4IIYQQQtQ6EmzVQdHR0QCkp6cDoNfDVVeZ2b7di927vYiLqznt/HJyFL76ytFuS9oQCiGqO7vdTnZ2thpYXXvttYSHhwPw8ccf8/zzz1NUVP5ah4cPH1aDrWuuuYZhw4apM7CaN2+OwWBAI+m+EEIIITwgJiYGo9GI0WgkJsbxRUmjUWZnCSGEEEKIqiHBVh1UOtiy2WxoNBrati1h+3Yvdu7UM3hwzQmI1q3zpaREITHRzFVXWTxdjhCiDrHb7RQVFZGbm0tubi45OTnk5ubSqlUrIiIiANixYwfLli0jIyNDDbPy8vLUx1iwYAF9+/YFICAggKKiIhRFITo6mgYNGtCgQQMaNmxIbGwsrVu3Vs+79tprueaaa9z7goUQQgghKhATEwM41tJq0cL6921HsJWdnc2xY8cIDg6mSZMmHqtRCCGEEELUHhJs1UERERFoNBosFguZmZlERETQpo0ZcKyzVVPY7bBokT8At91W4OFqhBA1WU5ODidPnsRkMpGdnY3JZMJkMqmB1ZgxY7jqqqsAWLNmDf/617/Izc11WdfKac6cOQwcOBCAlJQUli5dWuaYiIgIGjRogF5/7t/cG2+8kf/9738YDAaXVoJCCCGEENWdM9gyGo306nUu2LLb4T//+Q9z585lwoQJPP/8854sUwghhBBC1BISbNVBOp2OiIgI0tPTSU9PJyIigqQkR7C1Z48eqxVqwpq+27bp+fNPPT4+doYPl2BLCOGYRaUoCgDJycn89ttvalB1/vWrr75Kx44dAfjiiy945plnKnzcG264QQ22FEUhMzNT3afRaAgMDCQoKIjAwEB8fHzUfS1atOCJJ54gJCSEhg0b0rBhQwwGA76+vmWeIzAwkMDAwEoZByGEEEIIdyodbDlbEebna8jJUTAYDIDjCz9CCCGEEEJUBgm26qjo6GjS09NJS0ujTZs2xMdb8Pe3kZ+vITlZR/Pm1b+tn3O21qBBhYSE2D1cjRDCXWw2G6mpqRw6dIjk5GT1cujQIRYuXEiHDh0A+OWXX3j66acrfBznOoMA9evXJyIiguDgYEJCQggODiY4OFgNq5o2baoee8MNN/DVV1+pYZa/v78app0vISGBRx99tJJeuRBCCCFE9eQMttLS0vD1hbAwK2fOaElN1RIbGws42hQKIYQQQghRGSTYqqPatm2Lr6+vOmtAq4XWrc388os3u3bpq32wlZmpYd06R+1jxuR7uBohRFUoKiri6NGjREVFERISAsCqVat48sknKSoqKvec5ORkNdiKi4ujV69ealBVOrAKCQmhZcuW6nn9+/enf//+l1SX8zGEEEIIIYRD6RlbAAaDBFtCCCGEEKLqSLBVR7300ktltiUlOYKt3bv13H57oQequnQff+xHSYlCu3Yl6vpgQoiaqbi4mD179rjMvEpOTubEiRPYbDbeeecdhg4dCkBYWBhFRUXo9Xri4uKIj4+nadOmNG3alISEBBISEtTH7dy5M507d/bUyxJCCCGEqDMaN27ME088obYdNBis7N4NRqOWq692bDt9+jRFRUUubZuFEEIIIYS4EhJsCVVSUgkAO3d6ebiSC7NY4L//9QNktpYQNVXptbDWrl3L5MmTyz0uMDCQvLw89X7Hjh354YcfaNiwITqd/C9MCCGEEKI6CAoKcmm/7FxnKzVVS0hICL6+vhQWFmI0GomLi/NUmUIIIYQQopaQTwXrOKvVilarBVBnPu3bp8dsBr3ek5VV7OuvfTAadYSGWhk4sHrPLBNCONjtdg4dOsSWLVvYvHkz/fv3Z8KECQD06NGDqKgodeZV6VlY4eHhLutX+fn5yYchQgghhBDVnMHgCLaMRi2KohAbG8uhQ4dITU2Vv+WEEEIIIcQ/JsFWHbV7927uvvtuAgMD+f777wFo3NhKUJCNnBwNf/2lo1Wr6rnO1sKFjtlad95ZgHSxEKL6MpvN/Prrr2zZsoUtW7Zw/PhxdZ9Go1GDrdDQUP744w+XAEsIIYQQQtQsKSkpHDlyhIYNGxITkwg4ZmwBjBs3jqKiIho3buzBCoUQQgghRG0hwVYdFRgYSEZGBnl5eWpLMEVxzNr64Qdvdu3yqpbB1uHDWr7/3gdFsXPXXQWeLkcIUQGr1UqnTp1IT09Xt3l7e9OlSxd69epFr169XI6XUEsIIYQQF7Nx40bWrl2LyWSiUaNGjB071mV9zYr8+OOP/Oc//+Hqq6/mqaeeckOlddPMmTNZtWoVzz33HNdd1xQ4F2yNGjXKk6UJIYQQQohaRoKtOioqKgqAwsJCcnJyCA4OBhzrbDmCLT0jR3qwwAosWuQPQK9exTRoYPVwNUIIgCNHjrB582YOHDjAm2++CYBWqyUpKQmz2UyvXr3o3bs3N9xwA/7+/h6uVgghhBA10U8//cTixYsZP348TZs2Zf369cyYMYO33nqLoKCgCs87ffo0//3vf2nRooUbq62bYmJiADAajWorwvR0LRYLyNKoQgghhBCiMsmfl3WUj48PISEhZGdnk5aWVirYcqyztWtX9Vtgq6BA4dNPHW0Ix4zJ93A1QtRdVquV7du3s3nzZrZu3cqBAwfUfZMnT1ZbzLz++usEBQWp6/gJIYQQQlypdevW0bNnT7p37w7A+PHj2b59O9988w2DBw8u9xybzcY777zD7bffzv79+8nPl/cQVal0sBUebkOvt2M2K5w6pSUk5Cx//fUXhYWFdO7c2cOVCiGEEEKImk6CrTosOjpaDbac32B0BlsHDugpKqJarWG1erUvubkaGje2cMMNxZ4u54KSk5Px9vb2dBlCVLrly5czY8YMsrKy1G06nY5OnTrRu3dvAgMD1e2hoaGeKFEIIYQQtYzFYuHIkSMuAZZGo6F169YcPHiwwvNWrlxJYGAgPXr0YP/+/Rd9HrPZjNlsVu8rioKvr6962xOcz1sT2jYbDAbAEWxptQoxMVaOH9eRmqolNXUvQ4YMoVGjRvz8888ervTCatKY1xYy5u4nY+5+MubuJ2PufjLm7leXx1yCrTosKiqKffv2kZaWpm6LibESFmblzBkt+/fradfOfIFHcB+7HRYudLQwu/vufDQaDxd0AZ999hkPP/wwwcHBPPfcc9x5551oqnPBQlTg1KlTfPXVV1x77bXq+hVBQUFkZWURFBREz549uf3222nbti316tXzcLVCCCGEqK1yc3Ox2Wxqlwmn4OBgjEZjueccOHCArVu38tprr13y86xevZqVK1eq95s0acLMmTMJDw+/orork7OVfHWWlJQEQHp6OtHR0TRpAsePQ0FBfbp2bQ84Qq/IyMga8f6oJox5bSNj7n4y5u4nY+5+MubuJ2PufnVxzKs02MrLy2PBggVs27YNRVG49tprueeee/C5wDSgkpISFi9ezE8//YTZbCYpKYlx48a5vInJzMxk7ty5/Pnnn/j4+NCtWzdGjBjh0u7qzz//ZPHixZw8eZKwsDCGDRvGjTfe6PJcF1t8eNq0aezbt8/lnF69enHffff9s4GpJqKjowHHGw8nRXHM2tq6VcuuXdUn2PrjDy/27dPj42Nj+PACT5dTod9++40nnngCAJPJxFNPPcXKlSuZOXMmzZo183B1oiJWq5WjR49y4MAB/vrrL9LT04mJiaFJkyZcffXVxMbGerpEt7Db7fz1119s3ryZzZs3s2PHDgAeeeQRnnzySQC6devGihUruOaaa/Dy8iI6Opq0tDTsdrsnSxdCCCGEUBUWFvLOO+9w//33u8wmv5ghQ4YwcOBA9b7zm68ZGRlYLJZKr/NSKIpCVFQU6enp1f7vLb3e0c4+MzOTI0eOEB4eBfjx55+5XH+9glarxWw2s3PnTvW9aHVUk8a8tpAxdz8Zc/eTMXc/GXP3kzF3v9o25jqd7pK/VFalwdbbb79NdnY2U6dOxWq18v777zNnzhwmT55c4TmLFi1i+/btPPbYY/j5+TF//nzeeOMNXnzxRcDRJ/2VV14hODiYl156iezsbN599120Wi0jRowAHAsEv/rqq/Tu3ZuHHnqIvXv3Mnv2bIKDg2nbti1w6YsP9+zZk+HDh6v3vby8qmCkPKNly5Z07ty5zJsKR7Dlw65dXkD1CJEWLnSsrTVkSCHBwdX3P9Lw8HBiY2NJTEykd+/eTJkyhd9++40+ffowbdo0xowZ4+kS6zS73c6pU6fw9vYmJCQEgM2bN/PAAw9QVFRU7jkzZsxQf2779+/nvffeo3HjxuqlSZMmhIaG1ugpv7m5ubzxxhts3ryZEydOuOxr164dDRs2VO/7+fnRpUsXd5cohBBCiDosMDAQjUaDyWRy2W4ymcrM4gLHrPOMjAxmzpypbnO+0b/jjjt46623yv1Wq16vV8OZ83n6gwK73e7xGi4mKCgIX19fCgsLMRqNxMQ4PpRITdWi1WqJiooiNTWVlJSUGvGt4pow5rWNjLn7yZi7n4y5+8mYu5+MufvVxTGvsmArJSWFnTt38sorrxAfHw/A2LFjeeWVV7jrrrvKXXuloKCArVu3MnnyZFq1agXAxIkTefTRRzl48CDNmjVj165dpKSk8PzzzxMcHEzjxo0ZPnw4S5cu5fbbb0en07F582YiIiK4++67AYiNjeXAgQOsX79eDbYudfFhb2/vct8s1QajR49m9OjRZba3aVMCwO7d5b+pc7eMDA3r1zt6248eXT2Ctoo0adKEtWvX4u3tTXx8PF26dOG5557jq6++omnTpp4ur045e/YsBw4cKHMxmUy8+OKLjB07FnAscl1UVISvry/NmzcnMTGR6OhojEYjx44dIzExUX3Mffv2sXr16jLPVa9ePRo1asTTTz9Njx49AMeM1by8PCIjI6td6JWbm8uJEyfUf2f9/PxYuXIlJpMJb29vunbtSt++fenVqxeRkZEerlYIIYQQdZ1OpyMuLo69e/dyzTXXAI4vPO7du5d+/fqVOT4mJobXX3/dZdvy5cspKipizJgx1K9f3y111zWKojBlyhT8/PwICQkhJsYKOIItcLwvT01NJTU1lauvvtqTpQohhBBCiBquyoKtgwcP4u/vr4ZaAK1bt0ZRFJKTk9U3JKUdOXIEq9VK69at1W0Gg4H69eurwdbBgwdp2LChS9jUtm1b5s2bx8mTJ2nSpAmHDh1yeQxw9PteuHAhcHmLD//www/88MMPBAcH06FDB4YNG4a3t3e5r7k6LjZc+rkvtYa2bR1tNg4e1FFYqMHPz7Np77Jl/pjNCh06lNCmjQWoXiGBs51Gx44dAQgJCVHHukGDBixatIhdu3apoSrAt99+S+vWrQkLC/NEybVO6W8kKIrCzp07GTBgQLnHajQazpw5o/6MEhMT+fHHH2nUqNFFe/23adOGKVOmcOzYMY4dO8bRo0cxGo2cPXuWvXv3oiiK+rhbtmxh0qRJ6r+DCQkJLpcmTZpU+G9JZTl79ixHjx7l8OHDHDlyRL3s27ePiIgIfvvtNxRFQa/XM2XKFEJDQ+nWrRt+fn6X9Ph1eYFKT5Exdz8Zc/eTMXc/GXNREwwcOJD33nuPuLg4EhIS2LBhA8XFxWq7+XfffZfQ0FBGjBiBl5eXy4xzAH9/x3q9528Xleuee+5RbxsMrsGWwWAAHF+CFUIIIYQQ4p+osmDLZDKV6Weu1WoJCAgo00Ki9Dk6nU590+EUFBSknlNeuwln68DSx5RuJ+g8prCwkJKSEvLy8i5p8eGuXbtSv359QkNDOX78OEuXLsVoNKprKJ2vOi82DBUvIldSUuLSYjE6GgwGSE1VSEuLomtXd1VYlsUCS5c6bj/yiFe168Vut9sZP348H330ER988EGZ9decYx4TE6NuO3HiBOPHj8fX15dZs2YxatQo+SDpHygoKODee++la9euPPjgg0RFRamt8gwGA61bt6ZVq1a0bt2a1q1b06JFizLr/F3qBxzR0dF069bNZVthYSFHjx4lOTmZLl26qGGlxWJBo9GQn5/P7t272b17t8t5X3zxBTfffDMAu3fv5rfffiMxMZHExMTL+hZxcXExR44c4eDBg5w4cYKHHnpI3Xf33Xfz1VdflXteQEAAWq1WnZFV0b9rl6ImtJKpbWTM3U/G3P1kzN1PxlxUZ507dyY3N5cVK1ZgMplo3Lgxzz33nPqeLjMzU/6mrmacwZbReG7GFkiwJYQQQggh/rnLDraWLl3KmjVrLnjMm2++ecUFVSe9evVSbzds2JCQkBCmT59Oenp6uW/8q+Niw846yltErqCggOuuu47MzEwOHTrkMkujVasQUlN92Lo1h/h4z7X/+/JLb1JSQgkNtdK162nS0jxWSrnef/995s+fj0ajwdfXl7S/C7zQwn3Jyck0aNCAAwcOcPfddzN37lxmzpxJ48aNPfAKaraUlBTGjh3L3r17+fzzz7n11lvVnrL79+8vE3ADZGdnV3odISEhdOzYkZKSEvV34Pbbb2fw4MEcP36c5ORkkpOTOXz4MMnJyRw6dIjQ0FD12KVLl/Laa6+5PF7p2V1Dhw5VA6iNGzfy448/qrOvTp48ic1mU8/t27cv9erVA87NeI2Li1Mv8fHxJCYm0qRJE2w2m1rDlahtC1TWBDLm7idj7n4y5u5X28b8chYcFjVLv379ym09CDBt2rQLnvvggw9WQUXifJmZmezbtw9fX19atHB0acnJ0XD2rELPnj0JDQ2lXbt2Hq5SCCGEEELUdJcdbN18881qu4eKREZGEhwcTG5urst2q9VKXl5ehWtWBQcHY7FYyM/Pd5m1lZOTo54THBxMcnKyy3k5OTnqPue1c1vpY3x9ffHy8rrsxYedEhISACoMtqrzYsPOGkrX4evrS0FBAXa7HaPR6NI2MimphE2bfNi5U+/R2hcudPwejBhRgJeXnWowjKovv/ySGTNmAI430j179iwzVuUt3JeYmMiXX37JnDlzePPNN/nhhx/o0aMHjzzyCBMmTKjwd0i4+u233xg/fjyZmZmEhoYyb948IiMjSUtLw263ExgY6PH/7vR6vRpOleasy3kdGxvLjTfeSHJyMikpKWRnZ/P777/z+++/A9CjRw8iIiIA2Lp1K0uWLHF5vICAADW4KigoICAgAIDp06fz8ssvl1tbZY5NXVyg0tNkzN1Pxtz9ZMzdT8ZcCPFPbdmyhSeeeILu3buzZMkSgoNtmEwajEYtV199taytJYQQQgghKsVlB1uBgYFlWgyWp1mzZuTn53PkyBHi4uIA2Lt3L3a7vcyHvE5xcXFotVr27NlDp06dADAajWRmZtKsWTP1cVetWkVOTo46G2P37t34+vqqrQ2aNm3Kjh07XB579+7d6mNc7uLDTseOHQMcsylqi+joaJKTk0lLSzsv2HKsFbZrl1dFp1a55GQtP/zgjUZj5667PDdrrDy7d+9m0qRJ2O12xowZw9ixYy/rfC8vLx566CEGDhzIM888w//+9z9effVV1q9fz9q1ayXcuoglS5YwdepUzGYzV111FR999BENGjTwdFmX7Pw2OcOGDWPYsGGAYyblkSNH1NldycnJNGrUSD22Z8+e1KtXz2UWVnh4eLmtd3S6Kus2K4QQQgghRBnOFuzOFv8xMVZMJg2pqVqaN/dcFxMhhBBCCFG7VNmnnrGxsbRt25Y5c+Ywfvx4LBYLCxYsoHPnzoSGhgKQlZXF9OnTmTRpEgkJCfj5+dGjRw8WL15MQEAAfn5+LFiwgGbNmqmhVFJSErGxsbz77ruMHDkSk8nE8uXL6du3rxoG9OnTh02bNrFkyRK6d+/O3r17+fnnn3nmmWfU+i62+HB6ejr/+9//aN++PQEBAZw4cYJFixbRokULlw+Za7rSwVZpbdo4gq0jR3Tk5ioEBrr/27uLFztma/XqVURsrNXtz1+R1NRUxowZQ1FREd27d+eFF1644n7+TZo0Yfny5Xz22WdMmzaNG2+8UUKti5g6dSofffQR4JhBOmvWLJc2mjWdn58frVq1olWrVuXu79OnD3369HFzVUIIIYQQQlzc+cGWwWBl3z69us7Wzp07SUlJoUePHrXqb3ghhBBCCOFeVfp1/ocffpj58+czffp0FEXh2muvdZnZYrFYMBqNFBcXq9tGjx6Noii88cYbWCwWkpKSGDdunLpfo9HwzDPPMG/ePKZOnYq3tzfdunVj+PDh6jERERE888wzLFq0iA0bNhAWFsaECRNo27ateszFFh/W6XTs2bNHDbzCwsK49tprGTp0aNUNmAc4WyqeH2yFhtpo2NDCiRM6du/W07VriVvrys9XWLHC8UZnzJjqNVvrs88+49SpUyQmJvLBBx/841kxiqJw66230qNHD3x9fdXtf/75J8eOHWPAgAGyEHYpsbGxKIrC008/zaRJk2RshBBCCCGEqCacwdbZs2c5e/YsBoOjy0pqqiPYuuuuu8jKymLz5s20bNnSY3UKIYQQQoiarUqDrYCAACZPnlzh/oiICFasWOGyzcvLi3HjxrmEWecLDw/n2WefveBzt2zZktdee+2Cx1xo8eH69evzwgsvXPD82iA6OhpwzFA7X5s25r+DLS+3B1urVvly9qyGJk0sXH998cVPcKOHHnqIgIAAevfuTb169SrtcZ0zGcGxHt2TTz7Jrl276NOnD7NmzapVLTAvl81mQ6PRAHD//ffTuXNn2rRp4+GqhBBCCCGEEKX5+/sTFBRETk4ORqORmBjH+01nsBUbG0tWVhapqakSbAkhhBBCiCum8XQBwrOcwdb5M7YA2rZ1hFm7drm3NZ7dDosWOdoQ3n13Pppq8ltqs9kAxwyrsWPHVumaTlarVW1LuHnzZsaPH09JiXvDxeriiy++4OabbyYvLw9wjL+EWkIIIYQQQlRPpdsRGgzWv2+fC7YAUlJSPFOcEEIIIYSoFapJZCA8JSEhgS5dupT7bTnnOlvuDrZ+/92L/fv1+PjYuP326tGGcNGiRYwePZqzZ8+65fm8vLx46qmnWLduHQEBAfz8889MnToVu939a515is1mY+bMmTzwwAPs3LmTefPmebokIYQQQgghxEU4vzxZOthyztgyGAx/30/1THFuZLVaGTx4MB06dGDOnDkUFhZ6uiQhhBBCiFpDgq06rnPnzqxYsYInnniizL7WrR3B1smTOrKy3PersnChY22toUMLCQ72fJDz7bff8vzzz7N161Y+//xztz53q1ateP/999FoNCxdurTOhDtnz55l7NixvP322wBMmDCBSZMmebgqIYQQQgghxMWMGTOGWbNm0aVLF2JiLACkpWmxWs8FW3Vhxtbu3bv5/fffSU9PZ/r06XTu3Jn58+dTVFTk6dKEEEIIIWo8CbZEhQID7cTHO8Kt3bvdM2vr9GkNGzb4AjB6dL5bnvNCDhw4wIQJE7Bardx2222MGjXK7TX07NmTqVOnAjB9+nS+/fZbt9fgTkeOHOHmm29my5YteHt78/bbb/P888+j01XpkoBCCCGEEEKIStCzZ0+GDx9O48aNiYy0odXaMZsVMjI0aivCujBjq23btmzZsoXevXsTGxvL6dOn+de//kWXLl1YuHBhnW01L4QQQghRGSTYEgCUlJRgsVjKbE9KcgRbO3e6J9j6+GM/zGaFDh1KaNWqbD3ulJGRobYf7NSpEzNnzkRRFI/Uct9993HnnXfSunVrmjdv7pEa3OG3335j4MCBHDp0iKioKFatWsWwYcM8XZYQQgghhBDiCuh0EBV1rh1hXVpjS1EUrrrqKhYuXMgPP/zAq6++SnR0NOnp6bz11ltYrVZPlyiEEEIIUWPJFAjBwIED2bFjB59//jkdO3Z02demjZlVq9wzY8tigSVL/AEYM8azs7UKCwsZO3YsKSkpNG7cmLlz5+Lt7e2xehRF4eWXX8ZqteLr6+uxOqpao0aN8PX1JSEhgblz5xIZGenpkoQQQgghhBCXoaCggN9//53c3FxuvvlmDAYrqak6jEYtN97YmGnTptGgQQNPl+lWXl5e3HXXXdx+++0sW7YMX19f9X2dzWZj3bp19O/fH73evetbCyGEEELUVBJsCby8vADH4r7na9vWMWNr1y6vKq9j82Yf0tK0hIVZuekmzy6sO2XKFLZv305wcDCLFy8mNDTUo/XAuZ+T03fffcd1111XZntNY7Va0Wodi0lHRkayYsUKYmNjPRokCiGEEEIIIa7M6dOnGTFiBD4+PgwcOBCD4dyMrXr16jF+/HgPV1j15s6dy7Zt2xg9ejTXXXedut3b25sxY8a4HLtu3ToeeOABGjduzCOPPMKQIUOkDbsQQgghxEVIK0JBdHQ0AGlpaWX2tWxpRqOxk56u5dSpqv11WbjQMVtrxIgCPJ1pjB07loYNGzJ37lzi4+M9W0w53nvvPUaMGMGUKVOw2+2eLueKpaWlccstt7BmzRp1W3x8vIRaQgghhBBC1FDO95dFRUVkZ2erwZbRqPVkWW61evVq1q5dy9GjRy96rNlsJiwsjGPHjvHII4/QvXt3Vq9eLa0KhRBCCCEuQIItob7xSE9PL7PPz89Os2aOta527aq6tgiHDun48UdvNBo7d91VUGXPc6latWrFd999R+fOnT1dSrkSExPRaDR8/PHHzJs3z9PlXDa73c4nn3xCr1692LlzJy+++CJFRUWeLksIIYQQQgjxD3l7e1O/fn3A0RUkOvrcjC2A5ORk1q1bx/79+z1WY1VKTU1l165dKIpC7969L3r8sGHD+OWXX5gyZQohISEcOXKESZMm0bNnT7744osa/UVGIYQQQoiqIsGWuOCMLYCkJEc7wt27q67l3eLFfgD07l2kfqPP3X7//Xe2bdum3q/OLf569uzJ888/D8D06dPZunWrhyu6dCdOnGDEiBE89thjmEwmWrduzapVq/Dx8fF0aUIIIYQQQohKEBMTAziCrdKtCAE+/PBD7r//ftatW+ex+qrSli1bALj66qsJDw+/pHP8/PyYOHEiv/zyC08//TTBwcEcOnSIDz/8sCpLFUIIIYSosSTYEkRFRQEVB1tt2pQAVTdjKz9f4dNPHcHWmDGem6317LPPctttt/HLL794rIbLMX78eO68805sNhsPPPAAf/31l6dLuiCr1crcuXPp0aMH33//PT4+PkyZMoV169bRsGFDT5cnhBBCCCGEqCQXCrZiY2P/vp/qmeKq2MaNGwHo16/fZZ8bEBDAww8/zM8//8wTTzzBU089haIoAOTm5rJmzRrMZnOl1iuEEEIIURNJsCUuecbWrl16qqILwmef+XL2rIa4OAtduxZX/hNcguzsbPbv309xcTFxcXEeqeFyKYrCyy+/TKdOncjLy2PMmDFkZWV5uqwK7d+/nxdeeIHCwkKuu+46tmzZwsSJE2VhZCGEEEIIIWoZZ7CVlpamBltZWVoKCxU12EpJSfFYfVXFZDLx888/A9CnT58rfpzAwEAeffRRbrjhBnXb/PnzmThxIp06deKtt94iMzPzH9crhBBCCFFTSbAliI2NpUuXLi5/NJd21VVm9Ho7Z85oK33BX7sdFi3yB2D06Hw0HvqN3LlzJwBNmjQhIiLCM0VcAS8vL+bOnUujRo04ceIEX375padLclG6H3yrVq14+OGHefXVV1mxYkWNCRCFEEIIIYQQl6f0jK3AQDsBATYAUlM1tXrG1tatW7FYLDRv3rzS3+/4+/sTHh5Oeno6//73v+nYsSOTJ09m9+7dlfo8QgghhBA1gUyVEERERLBixYoK93t7Q2KimT17vNi5U1+pa2D99psXBw7o8fW1cdttnmtDuGPHDgDat2/vsRquVGhoKAsXLmT37t3ceuutni5H9ccffzB16lTeffddEhISAHjqqac8XJUQQgghhBCiqnXv3p3Q0FASExNRFDAYrPz1lwajUUt8vAFwzOayWq1otZX75UlP8vHxISkpiW7dulX6Y993332MGTOGdevWsWDBAnbs2MHKlStZuXIlXbp0Yfny5Wg89U1RIYQQQgg3k796xCVp08bRjnD37spdZ2vhQsdsraFDCwkKqoI+h5do+/btQM0MtgCaNWvmEmrZq6Jn5CXKz8/nX//6F4MHD2bPnj28+uqrHqtFCCGEEEII4X6JiYkMHz6cpKQkAPXLkUajlsjISLRaLWazmdOnT3uyzEo3YMAANmzYwJNPPlklj+/l5cXQoUNZt24da9euZejQoej1egwGg0uoZTKZquT5hRBCCCGqCwm2hKq4uJjCwsJy97Vt61xny6vSnu/UKQ0bNvgAjjaEnmKz2Wr0jK3zZWZmMmzYML7++mu3P/e3335Ljx49mD9/Pna7ndtuu43XXnvN7XUIIYQQQgghqo+YGEewlZqqQ6fTqes818Z1tgC3zJxq374977zzDr/99htPPPGEun3v3r20a9dO2hQKIYQQolaTYEsA8OijjxIXF8eyZcvK3d+mTQngmLFVWZOBPv7YD4tFoWPHYlq2tFTOg16BI0eOYDKZ8PHxoUWLFh6ro7LMnTuXX3/9lYkTJ/LXX3+55TmzsrKYPHkyI0eOJCUlhdjYWJYuXcpbb71FaGioW2oQQgghhBBCVB8//PADy5YtIzc3t1Sw5Wg7OHXqVObNm0d8fLwnS6xUO3fu5OzZs25/3oiICAwGg3p/y5YtlJSUsHLlSvr378+gQYNYs2YNZrPZ7bUJIYQQQlQVWWNLAFCvXj0A0tPTy93fvLkFHx87OTkajh3T0qTJP1tny2yGJUscbQhHj/bc2loAUVFRzJs3j1OnTqHXV26rRU94/PHH+eOPP/jll18YM2YM69evr/Jw6ZNPPmHlypUoisLYsWN5+umn8ff3r9LnFEIIIYQQQlRfjzzyCOnp6SQmJmIwRALngq2bb77Zk6VVOqvVyujRo8nJyeGLL76gTZs2Hqvl0UcfpVu3bnz00UesXbuWP/74gz/++IOoqCjuuusu7rvvPvz8/DxWnxBCCCFEZZBgSwCorSDS0tLK3a/Xw1VXmdm+3Yvhw8OIjLQRHFz6Yic42EZQUPnbzs+LNm/2IT1dS/36VgYMKL/9obsEBATQv39/j9ZQmby8vJg7dy4DBw7k+PHjjB8/nmXLluHlVXltJMGxjpeiKACMGzeO3bt3c++993L11VdX6vMIIYQQQgghap6YmBjS09MxGo3qGlvOYKu22b59O5mZmQQGBpKYmOjpcmjfvj3t27fn+eefZ8mSJSxevJj09HQWLVrExIkTPV2eEEIIIcQ/JsGWAC4ebAH07FnE9u1epKbqSE29vMcPCHCGXo6w69gxxxuaESMK8Pa+4rJFBUJDQ1m4cCG33HILv/zyC8899xz//ve/1SDqShUWFpKWlsb333/P6tWr+fTTT/Hy8kKv1/PBBx9UUvVCCCGEEEKImi4mJobt27djNBpp3doRbKWlabHb4cyZTH755Rc0Gg0DBgzwcKX/3KZNmwDo2bNnpX+h8J+IiIjgscceY9KkSaxbtw6z2Vyt6hNCCCGEuFISbAnA0Y4PLhxsTZ6cx8CBRWRmajCZNJhMyt/X5y45Oa7bcnMdy7jl5WnIy9O4BGI6nZ1Ro/Kr9HVdTEFBAXPmzKF9+/bccMMN/zj4qU6aNWvG+++/z+jRo1m2bBlXXXUVY8eOLfdYu91OdnY2aWlpGAwGgoODAfj++++ZM2cO6enppKenYzKZXM775JNPuOuuu6r4lQghhBBCCCFqmpiYGACMRiNRUVYUxU5RkUJWloa9e/dy//3307x58xofbNntdr788ksA+vbt6+Fqyufl5cXQoUNdtu3atYs2bdrUqvfAQgghhKg7JNgSwLkZW+np6S4t5kpTFEhIsJCQcOmPa7FAbq5SKvg6F4q1aGHBYLBV1ku4Irt27eL1118nOjqaP/74w6O1VIUePXrwr3/9i//+97/ceOONAOzdu5fVq1eTnp5OWlqaGloVFxcDMGfOHAYOHAjA2bNn+fbbb10e08/PD4PBwMiRIxkxYoQ7X44QQgghhBCihigdbHl5QWSkjfR0LampWmJjYwFISUmp8P1nTXHo0CGOHTuGl5cX3bt393Q5F2W327nzzjv54Ycf+Pjjj+nWrZunSxJCCCGEuGwSbAkAIiMdi/kWFRVhMpkICQmplMfV6SA01E5oqBWwVspjVqbt27cDjh7ktdW4ceMYOXKkukDw8ePHmT17drnHhoWFUVJSot5v164ds2bNIioqiqioKKKjo6lXr16NfuMphBBCCCGEqHqlgy3HfasabN14owGA/Px8cnJy1I4RNdHGjRsB6Nq1KwEBAR6u5uIURaFZs2b88MMPzJs3T4ItIYQQQtRIEmwJAHx8fOjfvz/+/v5YLBZPl+M2dSHYUhRFDbUAEhMTGT9+vBpURUdHExUVRWRkJN7nLXgWExPD8OHD3V2yEEIIIYQQooYzGBzhlTPYMhisbN8OqalafH19CQsL48yZM6SkpNToYGvz5s0A9OvXz8OVXLp77rmHBQsWsHXrVpKTk0m4nLYsQgghhBDVgARbQjVv3jxPl+BWdrtdDbY6dOjg4WrcJz4+nmnTpnm6DCGEEEIIIUQtFh8fz6xZs9S2gwaDo4NHaqoWgNjYWM6cOYPRaKRVq1Yeq/OfmjNnDps3b6ZPnz6eLuWSNWnShN69e7N582YWLFjAyy+/7OmShBBCCCEui8bTBQjhKampqZw+fRqdTlej30gJIYQQQgghRHVTr149hg8fTpcuXQBHK0I4F2w5Z3SlpKR4psBKYjAYuOeeewgPD/d0KZdl3LhxAKxYsQKTyeTZYoQQQgghLpMEW8JFcXExubm5ni7DLbZt2wZAy5Yt8fX19XA1QgghhBBCCFF7OWdsGY21K9iqqTp37kyLFi0oLCxk2bJlni5HCCGEEOKySLAlVLNnzyYuLo4XXnjB06W4xa5du4Davb6WEEIIIYQQQnjKrl27WLZsGfv37y/TivDWW29l7ty53H333Z4s8Yrl5uZy9913s2TJEmw2m6fLuWyKoqiztr766isPVyOEEEIIcXlkjS2hCgkJASAtLc3DlbjHlClTuPXWW/Hx8fF0KUIIIYQQQghR68ybN49Vq1YxdepUhg9vCcDp01qKi6FVq1Y1uiX81q1b+frrrzlx4gSjRo3ydDlXZPDgwQQFBdG7d29PlyKEEEIIcVkk2BKq6OhoANLT0z1ciXtotVquuuoqT5chhBBCCCGEELVSTEwM4FjfOCTEho+PjaIiDenpWho1snq4un9m48aNAPTt29fDlVw5Hx8f+vfv7+kyhBBCCCEum7QiFCrnm466MmNLCCGEEEIIIUTVcX550mg0oii4tCO02WysW7eO2bNnU1RU5MkyL1txcTFbt24FoF+/fh6upnKUlJSQlZXl6TKEEEIIIS6JBFtCFRUVBTh6hefn53u4mqq1atUqHnnkEfXNiBBCCCGEEEKIyuX88qTRaARcgy1FUXj00Ud58cUX1f01xY8//kh+fj5RUVEkJSV5upx/bPPmzXTq1In/+7//83QpQgghhBCXRIItoQoICKBevXpA7Z+19dVXX/Hpp5+yZ88eT5cihBBCCCGEELXSxYKthg0bAjB79mys1prTmtDZhrBPnz5oNBV/rJKSouXXX73IzlbcVdoViYqK4tSpU6xdu5ZTp055uhwhhBBCiIuSYEu4cLaKqO3B1vbt2wFo3769hysRQgghhBBCiNrJGWydOXOGoqIiYmIc4ZXRqAXgwQcfRFEUli5dyoQJE2pES0KbzcaWLVuAC7chLCxU6N+/PkOH1qdVq2g6dIjkrrtCmTGjHqtW+bJ/v46SEndVfWFt2rThmmuuwWw2s3jxYk+XI4QQQghxUTpPFyCql969e5OUlERISIinS6kyp0+f5uTJkyiKQtu2bT1djhBCCCGEEELUSiEhIfj4+FBUVERaWhoGg+N9ZmqqI9gaOnQoer2ehx9+mA0bNpCdnc38+fMJCgryZNkXlJ2dTUJCAiUlJVx33XUVHvf9995kZWnRau1YrQrp6VrS07Vs3eqjHqPT2Wna1EJiopkWLSy0aGEmMdFMdLQNxc2TvO69915+++03Fi9ezEMPPYSPj8/FTxJCCCGE8BAJtoSL5557ztMlVLkdO3YA0Lx5c7X1ohBCCCGEEKJ627hxI2vXrsVkMtGoUSPGjh1LQkJCucd+9dVXfP/995w8eRKAuLg47rzzzgqPF1VDURTefvttAgMDiYyMVGdsOYMtgJtvvpnQ0FDGjh3Lzz//zPDhw1m3bh06XfX8uCIsLIxPP/2UwsJCvLy8Kjxu0yZHMDRmTD5PPnmWAwd07N+v58ABPfv3O26fPath/349+/frWb363LnBwTY15HIGXs2bW/D3t1fZ6+rXrx8Gg4HU1FQ+//xz7rjjjip7LiGEEEKIf6p6/qUoRBWSNoRCCCGEEELULD/99BOLFy9m/PjxNG3alPXr1zNjxgzeeuutcmf37Nu3jy5dutC8eXP0ej1r1qzhpZdeYtasWYSGhnrgFdRdN910k3rbucaW0ajFbkedldSlSxc+++wz7rrrLu65555qG2qV5uvrW+E+qxW2bPEGoG/fIurVs9Oxo5mOHc3qMXa7Yxz27XMGXo7rw4d1mEwafv7Zm59/9nZ5XIPBQlyclbg4i3qJj7cQG2tFq+Uf0el0jB07lhdffJF58+YxfPhwFHdPGxNCCCGEuETV/69F4XbFxcXk5uYSHh7u6VKqxLZt2wAJtoQQQgghhKgp1q1bR8+ePenevTsA48ePZ/v27XzzzTcMHjy4zPEPP/ywy/0JEybw66+/smfPHrp161buc5jNZszmc8GDoihqeOGpD/idz1tbAoaYGBsA+fkacnM1BAefm4HUunVrfvjhB5euGjabDY3GvUuDX2jMs7KysFqtF32vvG2bnqwsLcHBNjp1Mpf7WIoCsbE2YmNL6NPn3GJbRUWQnOwIufbt06kzvE6f1pKaqiM1VccPP7gGXl5edho1coRe8fHnAq+4OCv16196W8M777yTN954g/3797Nnzx6SkpIu7cR/qLb9ntcEMubuJ2PufjLm7idj7n51ecwl2BIuvv32W0aOHEmrVq3YtGmTp8updHa7neLiYhRFkWBLCCGEEEKIGsBisXDkyBGXAEuj0dC6dWsOHjx4SY9RXFyMxWIhICCgwmNWr17NypUr1ftNmjRh5syZ1eILf1FRUZ4u4YolJyfz3XffERkZycCBA4mIgNOnoaQkiuho12OjS204ffo0AwYM4NVXX6Vv375urrr8MV+4cCFTpkzhscce4/XXX6/w3P/9z3F9880aGjSIrvC4ijRpAr17u27LzIS//oKDB10vhw5BcbHCoUN6Dh3Sl3msoCBo1sz10qEDNG1a9nmjo6OZM2cOrVq18sh61DX597ymkjF3Pxlz95Mxdz8Zc/eri2MuwZZw4XzTlp6e7uFKqoaiKKxdu5azZ8/i7+/v6XKEEEIIIYQQF5Gbm4vNZiM4ONhle3BwMEaj8ZIeY+nSpYSGhtK6desKjxkyZAgDBw5U7zu/+ZqRkYHFYrn8wiuBoihERUWRnp6O3V516ytVpc8//5wnn3ySnj170qFDB6Kjwzh92oudO7OIiCiu8Lxp06axc+dOBg4cyFtvvcXQoUPdUu+FxnzlypXY7XYiIyNJS0sr93y7HT77LBzQccMN2aSlFVVabXFxjku/fue2Wa2OloaHD2s5ckTHkSM6Dh/WceSIlpQULTk5Cr//Dr//fu4cjcbOunVnaNvWXOY5evbsCVDh66sKteH3vKaRMXc/GXP3kzF3Pxlz96ttY67T6S75S2USbAkXzm/IZWZmUlxcjLe390XOqJlKt7cQQgghhBBC1F6ff/45P/74I9OmTcPLy6vC4/R6PXp92RkvgMc/KLDb7R6v4UrFxMQAYDQasdvtGAxWdu2C1FTNBV/Ts88+y+nTp/n888+ZNGkSp0+f5v7773dX2WXGPD09ne3bt6MoCr17966w9r/+0nHsmA5vbzvduhVV+c9No4HYWAuxsRa6dXMNCouK4Pjx0mGXjt9+8+LoUR2zZgWwaFHWBR+7qKgIHx+fqizfRU3+Pa+pZMzdT8bc/WTM3U/G3P3q4pi7t1m1qPZCQkLUMOvUqVMerqby1bX/wIUQQgghhKjpAgMD0Wg0mEwml+0mk6nMLK7zffHFF3z++edMnTqVRo0aVV2RokKlgy3HfSsAqanaC57n5eXFO++8w7hx4wCYPn06L730ksfe023evBlwrNUcERFR4XEbNzqCoK5di/H39+z7Tx8faN7cQv/+RUyalMesWSYWLTqDRmPnq6982Lu3/O865+fn8/jjj9OxY0dyc3PdXLUQQgghxMVJsCVcKIqiztqqje0I+/Xrx5AhQ0hOTvZ0KUIIIYQQQohLoNPpiIuLY+/eveo2m83G3r17adasWYXnrVmzhs8++4znnnuO+Ph4d5QqyuEMtnJycsjPz7/kYAsca6lNmzaNKVOmAPDBBx/wyCOPYDaXbaFX1ZxrUPcr3QewHJs3O4Ktvn0rrwVhZYqPt3LzzYUAvPNO+Z1M/Pz82LZtG1lZWXzyySfuLE8IIYQQ4pJIsCXKcAZb7uyp7Q4mk4m9e/fy22+/ERoa6ulyhBBCCCGEEJdo4MCBfP3113z77bekpKQwb948iouLufHGGwF49913+fjjj9XjP//8cz755BMeeOABIiIiMJlMmEwmioqqZ9hQmwUEBBAYGAg4Zm0ZDM5g69JWRlAUhYkTJzJr1iy0Wi3btm3j7NmzVVZveXJzc/nxxx8B6Nu3b4XHpaVp2LnTC0Wx07t39f1de+ihPADWr/chObnsz0FRFHWm3IIFC7BarW6tTwghhBDiYmSNLVFGVFQUUPuCrZ07dwLQuHFjCbaEEEIIIYSoQTp37kxubi4rVqzAZDLRuHFjnnvuObUVYWZmJoqiqMdv2bIFi8XCrFmzXB7n1ltv5fbbb3dn6QLHrK3c3Ny/g62rADAaL+97tsOHDyc8PJyEhAS3v5/75ptvMJvNJCQkXHD2n3O2Vvv2ZiIibO4q77K1aGGhb99CNm3y5Z13AvjPf0xljhk2bBivvPIKJ06cYMuWLRedqSaEEEII4U4SbIkyOnfujF6vp2nTpp4upVJt374dcPREF0IIIYQQQtQs/fr1q/DD9WnTprncf++999xQkbhUMTExHDhwAKPRSIsWjtk/6elaLBbQXcanEj169HC5v3btWtq1a0dsbGxlllvGDTfcwJtvvolWe+H2ic5gq1+/6jtby+nhh/PYtMmX1at9efzxszRs6Dory9fXl1GjRvHuu+8yb948CbaEEEIIUa1IK0JRxogRI3jzzTfp2bOnp0upVM5gq0OHDh6uRAghhBBCCCHqjsmTJ7N8+XL69OlD/fo2vLzs2GwKp05dfJ2tinz99ddMnDiRQYMGceDAgUqstqyQkBBuv/12hg0bVuExubkKP/7oDUCfPoVVWk9laNvWTLduRVitCu+9F1DuMaNHj0ar1fLzzz+7rHEnhBBCCOFpEmyJOsFms7Fjxw5AZmwJIYQQQgghhDtdffXVXH/99YSFhaHRQEyMc52tKw+2WrRoQdOmTUlPT2fo0KH8+uuvlVXuFfnmG2/MZoX4eDMJCTVjTaqHH3astbVihR9paWU/HoqJieGmm24C4KOPPnJrbUIIIYQQFyLBlihXUVERKSkpni6j0hw5cgSTyYSPjw8tWrTwdDlCCCGEEEIIUWdVRrAVExPDqlWr6NixIzk5OYwYMYK1a9dWVomqDz/8kNmzZ5Oenn7B42pSG0KnTp1KuPbaYkpKFGbPLn/W1oQJE3jiiSd49tln3VydEEIIIUTFJNgSZZw6dYr4+Hg6d+6M1Vozvml2MWazmT59+tC9e3f0er2nyxFCCCGEEEKIOiM7O5tly5axYMECAAyGfx5sAQQHB7Ns2TJ69+5NUVEREyZM4IEHHiAzM/Mf1wyOzh+zZ8/mxRdfvGC7w5IS+PprR7DVp0/NCbbg3KytJUv8OHOm7EdESUlJPProo9SvX9/dpQkhhBBCVEiCLVFG/fr10Wq1WK1WMjIyPF1OpWjRogUfffQR8+bN83QpQgghhBBCCFGnZGdn88QTT/Dyyy9jt9srZcaWk6+vL/PmzWPSpElotVq++OILfvnll3/8uAA7d+7k1KlT1KtXj86dO1d43C+/eHP2rIbwcCvt25sr5bndpVu3YpKSSigq0vDhh/4XPd5ut7uhKiGEEEKIC5NgS5Sh1WqJiIgAIC0tzcPVCCGEEEIIIYSoyaKjowEoLCzEZDKpM7aMxn8ebAHodDqeffZZ1q9fz8SJE9V1ocDRveNKbdq0CYDu3bvj5eVV4XEbN56braWpYZ+yKMq5WVsLF/pjMinlHvfdd99x6623snLlSneWJ4QQQghRrhr2J5dwF+cbj4v1Ea8JiouLSU1NlW+WCSGEEEIIIYQH+Pr6EhoaCoDRaKy0VoTna926NVOmTEFRHOFMVlYWN9xwAx999BE2m+2yH2/jxo0A9OvXr8Jj7PZz62vVtDaETn36FJGYaCYvT8NHH5U/a2vPnj38/PPPzJs3T95bCyGEEMLjJNgS5XIGW7Vhxtb27du55pprGDhwoKdLEUIIIYQQQog6KSYmBnANtiprxlZFFi1axIkTJ5g6dSpDhw4lOTn5ks89dOgQycnJ6PV6unfvXuFxe/boSUvT4udno2vX4soo2+00GnjoIcesrXnzAsjPLztra8SIEfj4+LB3715+++03d5cohBBCCOFCV1UPnJeXx4IFC9i2bRuKonDttddyzz334OPjU+E5JSUlLF68mJ9++gmz2UxSUhLjxo0jODhYPSYzM5O5c+fy559/4uPjQ7du3RgxYgRa7bk/iP/8808WL17MyZMnCQsLY9iwYdx4443q/n379vHFF19w9OhRtdf3Nddc41KL3W5nxYoVfP311+Tn55OYmMi4cePUwKe2i4qKAmpPsAVgMBg8XIkQQgghhBBC1E0xMTHs3bsXo9FI586OYCsnR8PZswr16lXNDKDJkycTEhLCyy+/zO+//07v3r159NFHeeCBB9Dr9Rc819mGsEuXLgQGBlZ4nLMN4Y03FnOBjzuqvZtvLuT11+tx9KiO//7XjwkT8l32h4aGMmzYMJYuXcq8efO49tprPVSpEEIIIUQVzth6++23OXnyJFOnTm1vaQ8AAGITSURBVOWZZ55h//79zJkz54LnLFq0iG3btvHYY4/xwgsvkJ2dzRtvvKHut9lsvPLKK1gsFl566SUefPBBvv32Wz755BP1mNOnT/Pqq6/SsmVLXnvtNW666SZmz57Nzp071WOKi4tp3Lgx9957b4W1rFmzhi+//JLx48fz8ssv4+3tzYwZMygpKbnyQalBnN+mqw2tCJ3BVvv27T1ciRBCCCGEEELUTaVnbPn72wkOtv19v+pmbWk0GsaMGcM333xDjx49KCkpYebMmQwYMIDdu3df8Nzc3Fx8fHzo27fvBY9ztiHs169mtiF00mph0qSzAMyZE0BhYdljxo0bBzhaNJ44ccKd5QkhhBBCuKiSYCslJYWdO3cyYcIEmjZtSmJiImPHjuWnn34iKyur3HMKCgrYunUro0ePplWrVsTFxTFx4kT++usvDh48CMCuXbtISUnhoYceonHjxrRr147hw4ezadMmLBYLAJs3byYiIoK7776b2NhY+vXrR6dOnVi/fr36XO3ateOOO+4oM0vLyW63s2HDBoYOHUrHjh1p1KgRkyZNIjs7m99//72SR6t6atOmDbfffjtdunTxdCn/iN1uV4OtDh06eLgaIYQQQgghhKibSgdbQJWts1Ueg8HA4sWLeeeddwgJCWHfvn0sWbLkguc899xz7Nmzh1tvvbXCY44f17J/vx6t1k6PHjU72AIYOrQQg8HC6dNaPvnEr8z+Zs2accMNN2Cz2fjoo488UKEQQgghhEOVtCI8ePAg/v7+xMfHq9tat26NoigkJyeXGygdOXIEq9VK69at1W0Gg4H69etz8OBBmjVrxsGDB2nYsKFLa8K2bdsyb948Tp48SZMmTTh06JDLYwAkJSWxcOHCS67/9OnTmEwm2rRpo27z8/MjISGBgwcPVhj2mM1mzGazel9RFHx9fdXbnuJ87supoUuXLjU+1AJITU3l9OnT6HQ69XfQHa5kzMU/I2PufjLm7idj7n4y5u4nY+5+MuZCCHcYOHAgSUlJNGnSBACDwcKff+rdEmyB49+4oUOH0q1bN9544w2efvppdZ/ZbC63NaGfX9lwp7RNmxyzta69toSQkKppp+hOXl4wcWIeU6YE8/77AYwYUYCXl+sx48aN4/vvv2f58uU8/vjjBAQEeKZYIYQQQtRpVRJsmUymMj2otVotAQEBmEymCs/R6XT4+/u7bA8KClLPMZlMLqGWc79zn/Paua30MYWFhZSUlOB1/l9lFdRS+rHLq6U8q1evZuXKler9Jk2aMHPmTMLDwy/6nO7gXDerLvn+++8BRwAaFxfn9uevi2PuaTLm7idj7n4y5u4nY+5+MubuJ2MuhKhKjRo1olGjRur9mBhHK0J3BVtOYWFhvPzyy+p9u93OmDFjMBgMTJ06laCgIE6dOnVJj+UMtmp6G8LShg8v4D//qUdqqo5Vq3y54w7XnoTdu3fnlltuoU+fPnh7e3uoSiGEEELUdZcVbC1dupQ1a9Zc8Jg333zzHxVUkw0ZMoSBAweq953fes3IyFBbJXqCoihERUWRnp6O3X7p3yIrKioiPT2dmJiYSwoEq6Ovv/4acMwYTEtLc9vzXumYiysnY+5+MubuJ2PufjLm7idj7n61bcx1Ol21+WKZEKJizlaEVbnG1qXYtm0b3377LeB4/zh16lQee+wx4uPjWblyZZkv1zplZWn47TfH++S+fatnsJWbm8uJEyfUy8mTJ/Hy8uL//u//KjzH1xfuvz+PF18M4p136nHbbYVoS/2INBoNH3zwgRuqF0IIIYSo2GUFWzfffDM33njjBY+JjIwkODiY3Nxcl+1Wq5W8vLwK/ygMDg7GYrGQn5/vMmsrJydHPSc4OJjk5GSX83JyctR9zmvnttLH+Pr6XnI443ysnJwcQkJCXB6ncePGFZ6n1+vLbV8AVIsPCex2+2XVcc0115CZmcnmzZtp2bJlFVZWdXr27Ak4vlXmiZ/B5Y65+OdkzN1Pxtz9ZMzdT8bc/WTM3U/GXAhR1T755BNOnjzJuHHjMBgcs508HWxdffXVrFy5kieeeIJjx44xadIkAIqLiyv8/ALgq6+8sdkUWrY0ExtrdVO1roqLi0lJSSEnJ4f27dur28eOHcuvv/5abseZ8PDwCwZbAHfdVcA779Tj2DEda9f6Mnhw4QWPF0IIIYRwt8sKtgIDA8u0GCxPs2bNyM/P58iRI2r7t71792K320lISCj3nLi4OLRaLXv27KFTp06AY1HZzMxMmjVrpj7uqlWryMnJUdsE7t69G19fX2JjYwFo2rQpO3bscHns3bt3q49xKSIiIggODmbPnj1qkFVQUEBycjJ9+vS55Mep6aKiosjMzCQtLa3GBlvXX389119/vafLEEIIIYQQQog677XXXiM9PZ1evXoRE+OYWenuVoTlue666/jqq6+YNWsWs2fPxmaz0b9//wue42xD6K7ZWl9++SX79+93mYHlnGkbERHh8jlIXl6eGmqFhYXRsGFDGjRoQMOGDWnUqBF2u/2C6yr6+9sZNy6P118P5J13ArjllkI0Gtdjzp49y9KlS1m+fDnDhw/n9ttvJywsrCpeukccP36chg0bquOUnZ1NcnIysbGxREZGojl/QIQQQgjhVlWyxlZsbCxt27Zlzpw5jB8/HovFwoIFC+jcuTOhoaEAZGVlMX36dCZNmkRCQgJ+fn706NGDxYsXExAQgJ+fHwsWLKBZs2ZqKJWUlERsbCzvvvsuI0eOxGQysXz5cvr27avOlOrTpw+bNm1iyZIldO/enb179/Lzzz/zzDPPqPU5W+w5nT59mmPHjhEQEED9+vVRFIUBAwawatUqoqOjiYiIYPny5YSEhNCxY8eqGLJqKTo6mr1797qMlRBCCCGEEEIIcSWio6NJT0/HaDTStq1jllNamharFZd2d57g6+vLlClTuOWWW9i5cye33nprhccWFip8+61jfam+ff/5bKaSkhKOHz/OkSNHOHz4MEeOHCEnJ4e5c+eqx8yfP5+ff/653LpDQ0Mxm83q5yL/+te/0Gq1NGzYsMw65k4ZGRn88MMPDB06tNz9Y8fmM2dOAAcO6Nm82afMOmJ5eXnMnTuX9PR0XnrpJWbOnEn//v0ZNWoUnTt3vmBwVp3Z7XY++ugjXnrpJaZNm8bdd98NwK+//sq9994LOLr1GAwGDAYDsbGxNGjQgP79+5OYmOjJ0oUQQog6pUqCLYCHH36Y+fPnM336dBRF4dprr2Xs2LHqfovFgtFopLi4WN02evRoFEXhjTfewGKxkJSUxLhx49T9Go2GZ555hnnz5jF16lS8vb3p1q0bw4cPV4+JiIjgmWeeYdGiRWzYsIGwsDAmTJhA27Zt1WMOHz7MCy+8oN5fvHgxAN26dePBBx8EYNCgQRQXFzNnzhwKCgpITEzkueeeq7FrTV0J5wLi7lybqjLt2rWL/Px8kpKSKvxjXgghhBBCCCGEe8TExLBjxw6MRiN9+9rQau2YzQoZGRqiomyeLg+ANm3a0LdvX9LS0ipsz/rDD14UFWkwGCy0bHlp62nb7XYyMzNd1gCcMWMGGzZs4OTJk1itZdsZFhQU4OfnBzi+xNu4cWMaNGhAo0aN1BlYzi/nltaqVasL1nLq1Cmuv/56CgsLadWqVbkdboKC7Iwenc+779bj7bcD6Nu3iNJPEx0dzffff8+aNWtYunQpO3fu5IsvvuCLL76gSZMmTJgwgVGjRl3S2FQXZ86c4dFHH1XX6v7xxx+56667UBQFi8VCbGwsaWlpmM1mjh07xrFjx9RzExIS1GBr8+bNTJkyhQYNGqjhl8FgICIigoiICOLj46lXr54nXqIQQghRa1RZsBUQEMDkyZMr3B8REcGKFStctnl5eTFu3DiXMOt84eHhPPvssxd87pYtW/Laa69dcP/5z30+RVEYPny4S2hW10RHRwM1N9iaM2cOa9as4amnnrrg76IQQgghhBBCiKoXExMDOJYd0GohOtpKSoqO7du9GDDAPS39KkPpNoQXmpi0du1aNm7cqM7Cci5x4OPjOD8rK0sNR/z9/YmPjycuLk69Lh1Y3XfffZVWf2RkJDfccANffvklr776KgsWLCj3uPvuy2fePH927fLiu++8ufHGYpf9/v7+jBgxghEjRrB3716WLFnC6tWrOXr0KEePHlWPcwaE1XkW1/fff8/kyZM5ffo03t7ePP/884wZM0ateeDAgQwcOBCLxUJ6ejopKSnqJTU1lRYtWqiPdeLECYxGI0ajsdzn+vDDD7npppvU5509ezbh4eFERkYSHh6uBmAREREYDAb190UIIYQQ51RZsCVqPmewVVNbEW7fvh3AZRFdIYQQQgghhBCeUTrYAujcuYQVK3RMmhTCO+9kc9NN1T/cslphyxZH0NCnT8X1ZmZm8uCDD7rMxNJqtaSkpKhrj48dO5Zhw4YRFxdHZGSkW4OfZ555hk2bNrFp0yZ+//33cpddCAuzMWpUAfPmBfD22wFlgq3SWrVqxauvvsrzzz/PmjVr6Ny5s7rvhx9+YMqUKYwcOZLbb79dXaKiOigpKeG1117jgw8+ABzrtr///vtcddVV5R6v0+mIjY1V13kvz6233kq7du3U4OvkyZMYjUYyMjI4ffq02h0HIDk5me+++67Cx5o7dy4DBgwAHDPIFi1aRO/evRk2bJis8yWEEKJOk2BLVKgmtyI8ffo0J0+eRFEUlzaUQgghhBBCCCE84/xg6+WXc8jNVdi40Zf77w/hhRdyuffefE+WeFHbtnlx5oyWoCAbnTqVVHjcV199hdVqJT4+nilTphAfH0/Dhg1dljdo2bKlO0ouV0JCAnfeeSdLly5lxowZrF69utxgbcKEPBYv9ufXX7355RevC75mODeLq7QVK1Zw5MgRXnzxRWbOnMlNN93EyJEj6dSpk8dnce3fv585c+YAMGrUKKZNm4avr+8/eszg4GA6dOhAhw4dLnpst27dePPNNzl9+rR6ycjI4NSpU2RkZBAREaEee+DAAdavX8/69etZsmQJM2bMuGjbSSGEEKK2kmBLVCg+Pp7hw4fTpEkTT5dy2Xbs2AFA8+bNpXe1EEIIIYQQQlQD5wdbvr52Pvwwm+eft7FokT//+lcQRqOWKVNyqa6TUZxtCHv2LEKvv9BxmwAYMmQIffv2dUdpl+3RRx/ls88+4/fff2fLli306dOnzDHR0TZuv72AJUv8efvtADp1yrrs53n11Vfp1KkTS5YsYc+ePaxevZrVq1cTHx/PyJEjuffeeyvj5VyRpKQknn/+eWJjY9WZUe4UHx9PfHx8hftLr/PWuXNnHn30UebMmcMff/xB//79GTNmDE888QRBQUHuKFcIIYSoNqrpn4qiOjAYDMyaNYuHHnrI06VcNmlDKIQQQgghhBDVS/Pmzfnkk0/49NNP1W1aLcyYkcNzz+UCMHt2AJMmBVNccdc7j7HbYePGc+trVXycnbNnzwKUGxZVF9HR0eoa56+88goWi6Xc4x58MA+t1s533/mwc+cF0rwKBAQEMGrUKDZu3MiXX37JyJEj8fPz4/Dhwyxbtgyd7tx3rksHOVXh7NmzPP744xw8eFDddt9993kk1LoUpWe0tWjRgieeeILvvvuOW265BZvNxoIFC+jWrRurV6/2YJVCCCGE+0mwJWqlbdu2ARJsCSGEEEIIIUR14e/vT9euXct0BVEUR3jy9tvZ6PV21qzxY+TIMHJyPNum7nyHDuk4dkyHl5f9gutNKYrCypUr2bZtW4VrNVUXEydOJDIykuuvv56SkvLbDDZsaGXIkEIA3n474B89X5s2bXjttdfYsWMHr776Ko899pga3uTn53PNNdfw1FNP8b///c9lfbLKsH37dvr27cvy5ct5+OGHsdlslfr47hITE8MHH3zA8uXLSUhIICMjgwMHDni6LCGEEMKtpBWhuKDCwkLS09MJCQkhODjY0+VcEovFwq5duwAJtoQQQgghhBCiphg2rJCICCvjxoXy88/eDB1an8WLz2AwVI8AwtmGsGvXYgICLj6zyLludXUWFBTEjz/+eNF1pR56KI/PPvNl0yZf9u8/S4sW5c/uulQBAQHcddddLtu+/vprjEYjS5cuZenSpYSHhzNw4EBuueUWrr76ajRX2J/SarXy/vvv8/rrr2OxWIiNjeXFF1/8//buO66ps/0f+CcLCGGEPQVUxFnFXbvc2qG2tlrR2vqtu9q6H1ddta6691N/rrqe1lFtcVs7tFZbraPugaIIQgUhCgmQ+fuD5pSwBIUTwM/79TqvJCd3Ti4uDuM+V+77fuLjlRcvv/wyfvjhB2zatAk9e/YU9t+5cweenp5cloGIiCq1iv1XnMpcv3798NJLLwnzg1cEUqkU27dvx4wZMxAeHm7vcIiIiIiIiOgfhw8fxvz584V1kfN6+WU9du5Mgb+/CVevKtCliw+uXCkfn8m1FraKmobQZDLh0aNHYoVUKh5X1AKA8HAj3ngj5+tetuzpRm0V5o033sDWrVvx3nvvQa1WIzk5GevXr0fXrl3RrFkz/PbbbyU+ZmJiIqKiojBnzhwYjUZ06dIFhw4dQtOmTcvgKxCfg4MD+vXrB2dnZwCA2WzG0KFD8corr2DXrl1lPrUjERGRvbCwRUUKCAgAACQlJdk5kuKTSqWIjIzEhx9+CJlMZu9wiIiIiIiI6B+7du3CokWL8McffxTapm5dI6KjUxARYUBSkgxdu3rj2DEHEaPMLylJirNnc2Jo377wwtaZM2dQv359DB48WKzQSs358+fRv39/pKWlFfj8sGE564ZFRytx82bp97VlMhleeuklzJ07F+fOncOmTZvQvXt3uLq6IjExESEhIULbixcv4tKlS0UWbm7cuIH27dvj+PHjUCqVWLBgAVauXAl3d/dSj728SExMhEajwf379/Hxxx+je/fuuHbtmr3DIiIiKnUsbFGRrFMnJCYm2jkSIiIiIiIiqugCAwMBAPfu3SuyXVCQCbt2peD557ORni5F795e2LXr8SOLysqhQzmjtRo10sPPr/CpEQ8ePAiDwQCFQiFWaKXCYrFg1KhR2L9/P1asWFFgm7p1jWjXLgsWiwQrVpTtNHcKhQJt2rTB4sWLce7cOWzbtg1VqlQRnp87dy46dOiAVq1aYcGCBbhx40a+Y1StWhXh4eGoV68eDhw4gKioKGE9r8oqKCgIP/74I8aNGwcnJyecOHECHTp0wPTp05GRkWHv8IiIiEoNC1tUJOuIrYpU2JozZw6+/vprpKen2zsUIiIiIiIiyqW4hS0AUKst2LLlATp3zoTBIMHHH3tg5UoX2GN2NWthq6hpCAEI0/h36NChzGMqTRKJBBMmTAAArFu3DgkJCQW2s47a+vZbJeLjxZkhxcnJCS+++KLw2GKxwMXFBY6OjoiJicHChQvRqlUrtGvXDpMnTxauBcjlcqxZswbR0dHP1DIFjo6OGDZsGH755Re8+uqrMBqNWLVqFVq2bInY2Fh7h0dERFQqWNiiIlW0wpZGo8GyZcswZswYGAwGe4dDREREREREuZSksAUATk7AypVpGDAgZ7TJzJlumDzZDSZTmYWYT3q6BMeOOQIourAVExODW7duwcHBAa1btxYrvFLTpk0btGjRAtnZ2ViwYEGBbRo3NuCll7JhNEqwcmXZrLX1OBKJBCtXrsRff/2FpUuXom3btlAoFLhy5QrWrVuH+fPnC229vb3h6OholzjtrUqVKli7di02btyIsLAw+Pn52UznSEREVJGVjxVYqdyqaFMRnjt3DgAQFhYGT09P+wZDRERERERENoKCggAUv7AFAFIpMG3aIwQGmjB9uhvWr3dBUpIMy5alQSnC7IQ//+wIg0GCatWMCA83FtrOOlrrxRdfhIuLfYo+T0MikWDixIno3Lkztm/fjoEDB6JWrVr52g0fno5jxxzxzTfOGD48vcipGcuSq6sr3nnnHbzzzjtIS0vDgQMHsHfvXiQnJ8NoNEIuL7+XvCwWICsLyMyUCFtWlgSZmVKbfTn7IezPzs4pLrZvnwVpMT+q3rZtW7z44ot48OCBsA65TqfDlClTULNmTYSGhqJKlSoVbvpMIiJ6tpXfv/JULlhHbKWmpiIrKwtOTk52jqhoZ86cAQA0atTIzpEQERERERFRXtYRW8nJycjOzi7RaJqBA7UICDBh2DAP7N+vRFSUDOvXP4CnZ9nOTZh7GsKilmiqqNMQ5taoUSO8/vrr2LdvH+bMmYOvvvoqX5sWLfRo0kSPP/90wLRp7pg27aHdiltWHh4e6NmzJ3r27Fkqx0tNlWDrVmdoNFIYjRIYDIDJJIHRiH82iXBrMgEGQ8G31jZ6fd4i1tNNoFSzpgHDhmWgc+dMyIoxI6STk5NQVAaAZcuWYcmSJcJjqVSK4OBghIWFITQ0FP379xemb7RYLJV+bTIiIqp4WNiiInl4eKBXr17w9fWFScy5Hp6QtbDVuHFjO0dCREREREREeXl4eMDJyQlZWVlISkpCaGhoiV7fuXMWfHweoG9fT/z5pwPeessbmzenIiSkbPqrBgPw44/WwlZmoe2Sk5OF/mj79u3LJBaxjBs3DgcPHsQPP/yAU6dOoWnTpjbPSyTAyJHpeO89L0RHK7FvnxM6dMhC7946vPxydrFHEpVXv//ugI8/9kBiojhriDk4WKBU5mxOTgXft24mExAdrcS1awoMHeqB+fNd8ckn6Xj77UyUZMBVkyZN8Pbbb+PKlSuIjY1FVlYW4uLiEBcXBwCIiooS2q5fvx4rVqxA1apVhcJXWFgYqlatitDQULi6upZ2Sp6ayWSCVquFTCYTNrlczgIdEVElwsIWFUkikWDevHn2DqNYzGYzzp49C4AjtoiIiIiIiMojiUSCb775Bl5eXjYjSEri+ef12LUrBb17e+LmTQW6dPHGpk2peO650l9n+cQJBzx6JIW3twmNGhV+fEdHR8yYMQMxMTHCzCcVVXh4OIYOHQp/f39ERkYW2KZVq2z8v/+Xiv/3/1zw558O2LdPiX37lAgJMaJXLx169NDB19e+o7hKymQCli51wcKFrjCbc6aebNs2C3I5IJNZoFD8eyuXWyCTAQqF7a1cnvNc3tc4OCBfkcpavCrOiKvcPv30EdavV2H1ahfExsoxapQHFi50xdChGejRQ4fiDIJs27YtevfujcTERJjNZty/fx+3b9/G7du3ERsbi2rVqgltY2NjkZSUhKSkJJw4cSLfsfbu3SucJ6dPn0ZMTAxCQ0MRGhoKPz8/SMuo0mmxWJCUlIQHDx6gXr16wv733nsPJ06cQHZ2dr7XqNVqXLp0SXjcr18//PHHH0LhK3chzMnJCYcPHxbaTpkyBX/88QcA2BTIrPf37NkjTPU4Z84c/Prrr/naqFQq+Pr6Ytq0afDy8gIAZGZmwtHRsczyRERUWbGwRZXGrVu3oNFo4OTkhNq1a9s7HCIiIiIiIipA3hFAT6JmTSN2705B795euHJFgbff9sLKlWlo3z7/xeyncfBgziJe7dtnFVmAcHNzw//93/+V6nvb07hx4x7b5o03svDGG1m4elWOLVucsWOHM+Li5Jgzxw3z57uiY8ecUVwvvVT+R3ElJkrxySceOHEipyrUvbsOM2c+hEpVttNcPgl3dwtGjMjAgAFabNrkjC+/dEF8vBwTJqixZIkrBg/OQO/eOiiVxYtdIpHAz88Pfn5+aN68eb7nR48eja5duwqFr9zbgwcPEBISIrSNjo7GmjVrhMeOjo6oUqWKUOgaNmwYfHx8AJRsisPz588Lo8tiY2Nx69Yt3L59GzqdDj4+PsJ669bjFlTUKsjDhw+RlpZW4HN5l+KIi4vDxYsXi3XcO3fu2MSU1xdffCHcnzp1Kr799luEhIQgJCQEoaGhwm1oaCiqV68uFMyIiOhfLGzRY2VlZSExMREODg5P/Ik6MVy5cgUAUL9+fS56SkREREREVMn5+5uxa1cK+vf3xLFjjvi///NCVJQWU6Y8grv70xckLBbg0KGcQkfHjllPfbyKSq/XQyqVQi4v+BJSrVpGfP75I0ycmI7oaCds2aLC6dMO2LtXib17lQgLyxnF9e67Ovj4lL9RXIcPO2LECDXS0mRwdjZj9uyH6Nat8GknywuVyoLBg7Xo00eLb75xxooVrkhMlGHaNHcsW+aCQYO0+OADLVxdn+5nQa1Wo1GjRgXOjJOeng4XFxfhcbVq1fDyyy8jLi4O8fHxyM7ORkxMDGJiYgAAw4cPF9pOnz4d3333nU1Bx9/fH3///TdSUlIwe/Zsoe2MGTPw22+/5Xt/mUwGlUplsyb8Z599BkdHR/j6+sJiscBoNMJkMsFkMsFstj3/lixZAq1WC6PRCLPZbNPWYrHN26hRo9CnTx/hcd7nc4+4GjJkCN555x2bdhKJBE5OTrh27RqcnZ2FtnFxccjKysL169dx/fr1fF/j9evXoVKpAADbtm1DQkICQkND4ePjA5VKJWzOzs7w8PDgdItE9MyQWPL+JqZSl5ycDIOh9KdEKC6JRIKAgAAkJibm+8NbHLNmzcKKFSvQr18/TJ8+vQwiLD2pqalITU0VFjm1l6fNOZUccy4+5lx8zLn4mHPxMefiq2w5VygUwqfBiUqDPftzle3n0+r8+fM4dOgQwsLC0K1bt6c+nl4PzJjhhnXrVLBYJPDzM2H27IdPVIzKnfPz5+V49VUfKJVmXLiQBKWy4NecOnUKV69eRYcOHeDn5/eUX035cvDgQUyfPh0ff/wxevbsWezXXb4sx5YtKnz7rRLp6TkX/BUKyz+juLR48UW9MIrLXud5djYwe7YbVq/OKczUq6fHypVpqF69/K8vXhC9HtixwxnLl7vgzp2cIqRabUa/fhno21cLtfrf3IqRc6PRiHv37uHOnTuIi4vD3bt3MW7cOKHw0q9fPxw4cKDQ1+cu6MydOxenT59G1apVUa1aNVStWhVVq1ZFSEgIHBwcyiT+0lZYzg0Gg5Cn3FtcXBy0Wi2OHTsmtI2KirKZ4jA3qVSKuLg4Ib9jx47FH3/8IRS98hbBJk2aJHwo/NSpU0hJSYFKpYKLiwtcXFyE+yqVqtCidnlXWf+GlmfMufgqW85L0permL+ZSFT+/v4AgMTERDtH8nienp7w9PS0dxhERERERERUiPPnz2PRokVo27ZtqRS2HByA6dMfoVOnLIwercatW3L07euJLl0y8fnnD+Ht/WSjhA4cyBkB0rp1dqFFLQDYsmULtm/fjhs3bpT7D4OWVFxcHG7fvo358+fjrbfegrKoRORSp44RM2c+xKefPsLu3U7YtEmFs2cdsGePEnv25Izieu896ygu8S/ExcbKMGSIB86fzymK9OuXgU8/fVSs9anKKwcHCCPjvvtOiaVLXXDzpgILFrhh1SoX/N//aTFggPaJfx5KSi6XC6OxCrJw4UIMHz5cKOLcuXMHiYmJ8PPzQ9WqVW1GV40dO1aUmO1BoVAI0w4+zuuvv46goCDcuXMHaWlp0Gq10Gq10Ol0UCgUNqO14uPjhZFyeUkkEkybNk14vHr1auzdu7fQ97127ZowMm/RokU4evRovuKXi4sLHB0d8dFHHwkFs127duHMmTMwGAwwGo3CrXVbvHgxXF1dAQBffvkl9uzZIzxnjdO6rV+/HoGBgQCAr776Cjt37oREIoFUKrVpJ5FIMH/+fCGfmzdvtpkeM++F/88//1z4cPzu3buxefPmQttOnDhRWE/u999/x3fffQdHR0c4OTnB0dFR2JycnNCqVSsEBwcDAO7fv4/Y2FibdgqFAjKZDAqFAq6urnD855dPSaboJHrWsbBFj2Vd+LYiFLaIiIiIiIiofLNenLx3716pHrdZMz0OHbqPRYtc8eWXLoiOVuLXXx3w+eeP8NZbmSjptcKDB3MKWx06FD7yy2g04vDhwwCAjh07PnHs5dUHH3yANWvWID4+HuvWrcPQoUNL9HpnZwt69MhEjx6ZuHRJjs2bVdi5U4nbt+WYOdMNc+e64rXXsjB8OFCzJkr8PXoSu3YpMW6cO7RaKdRqMxYtSkOHDqW7Nps9yeVAt26Z6No1E/v2OWHJEldcuaLA8uWuWLNGhd69dRgyRIt/LvXYjbu7O+rXr4/69evbN5AK5IMPPij0OZPJdqTh9OnTkZycbFP8st7X6/U2xZOqVauicePG0Gq1yMjIQEZGBrRarTBaOffUiVevXsXJkycLjaNv375CYevo0aPYtm1boW0zMzOFwtbdu3dx9uzZQttai13WtqdPny7yuFY3b97EkSNHCm376NEj4X5CQoLNCLm8dDqdcP/q1avYtGlToW03bNggFLZ++eUXjBw5stC2//3vf9GlSxcAwJ49e4TioLXwJZfLhW3q1Kno1KkTgJyRdtOmTRPaODg42Nz27NkTLVu2BADExsZiw4YNcHBwKLB906ZNUa9ePQBASkoKfvzxRwDIVzSUSCSoU6cOatWqJeTvyJEjwnNSqRReXl7QaDSQSCSoWrWqUDjMzMzE6dOnIZVKhS3363x9fYWcGQwGxMTEFPj+QM66lr6+vgAAs9mM+Pj4fG2sx3dycoJarQaQUzhMT0+HTCaDVCqFTCYT7rOgWPGwsEWPVREKW6dOncK8efPQtm1bDBo0yN7hEBERERFRKTtw4AB2794NjUaD0NBQ9O3bt8gpyE+cOIGtW7ciOTkZ/v7+eO+99wpcI4bEZy1slUUfU6kEJk5MR6dOWRg1So0rVxT4+GMPfPedEnPmaBAQULzRKnFxMly5ooBMZkHbtoUXtk6fPo20tDSo1Wo0b968tL6McsPR0RFjx47FsGHDsHz5cvTq1QseHh5PdKy6dY2YPfshJk9+hO+/V2LzZmecO+eA6GgloqOBgABfdOqUiS5dMtGwoaHUi1w6nQSTJrlj69aci/TNm2dj+fI0BAaWv3W/SoNMBnTunIU33sjC4cOOWLLEFefOOWDNGhds3KjCBx8ANWsqUaWKEaGhJgQGmlBBZ5wj5Kw3llt4eHixl+mYMGFCgfuzs7Oh1WrzrR/WqVOnfEWwjIwMGAwGmzjat28Pf39/oZCSt0iTe322Xr164ZVXXhGek0gksFgsMJvNsFgsNlOTvfvuu2jWrJnwnPXWuln/xgBA165d4eXlZTP6KncBIywsTLjftm1bYdaqgtSsWVO4HxkZiTFjxiArKwtZWVnIzs622XIfR6lUolq1asJzWVlZNiPXrIVAIKeAZ7FYoNfrAdgW6azfE6u0tDScO3eu0HhfeOEF4X58fDxWr15daNvJkycLha3bt29j1KhRhbYdM2aMUNiKj4/H4MGDC207dOhQTJw4EQDw999/o0ePHoW27du3Lz7//HMAOV9bu3btCm0bFRWFBQsWAAAyMjLQokWLQtt26dIF//3vfwHkFMFq165dYDupVIoOHTpg7dq1wr7GjRsL53XeQliTJk2wZMkSoW23bt2EnxfrZm0bERGBWbNmCW1HjhwJjUZj087aNigoCOPHjxfaLlq0CA8ePLA5nvXW09PT5jr41q1bkZKSkm80o1QqhUqlsplS+NChQ/nauri44PXXXy80l+UN/2TRY1l/Gd+/fx9Go7Fczq178uRJ/Pbbb0IFnoiIiIiIKo/jx49j48aNGDBgAGrUqIG9e/di5syZWLx4Mdzd3fO1v3btGpYsWYJevXqhUaNGOHbsGObNm4cvvvii0GmxSDzWi44ajQY6nc5mNEBpqV/fgH37krFihQuWLHHF4cNOaN3aF5MnP0KvXrrHFk0OHsyZFqpZMz08PQufKu/gwYMAgDZt2pTLvnJp6Nq1K7788ktcvnwZy5cvx+TJk5/qeM7OFvTsqUPPnjpcvJizFtd336mQmCjD6tUuWL3aBVWqGNGlS06Rq25d41MXuS5dkuOjjzxw86YCUqkFI0ZkYPjw9GeikCOVAh06ZKN9+2wcPeqIxYtdcPKkI3JmZ1ML7WQyC4KCTKhSxYTQUKPNbUiICV5eZlFG1NmL2QwYjYDJJIHBYHtfr5dAr5cgO1uCrCwgOzvnvnVfdjaQlfX4fU5OgJubK/z9TQgIMMHf34yAABP8/EzlchpM67R5uTVo0AANGjQo1utff/31Yl8kr1u3LurWrVustjVr1rQpMhWlfv368PHxKdbaQzVq1ECNGjWKddzIyEhhWsLH6dy5Mzp37lzgc3njeu2113D27Nl80zZaH+f+H6Zhw4b46quvYDQaodfrhXbWrVmzZkLbwMBADBkyxOZ56zH1er1NEdTd3R1t2rQR4rNu1gJi7hiUSiWaN29u004ul0Ov18NsNtsUGRUKBWrVqgWz2WyzWV+X90MT3t7eNse15spsNuebFtfJySlfvNYtd7E19xSneVnjyS0lJcVmtGBuVapUsXl86dIlmxGAuVkLlVZHjx5FUlJSgW1r165tU9j69ttvERsbW2DbsLAwm8LW2rVrcenSpQLb+vn52RS2Vq5ciVOnTtm0CQoKYmGLKhcfHx/IZDKYTCYkJycLI7jKkzNnzgAAP4FJRERERFQJ7dmzB23btkXr1q0BAAMGDMCZM2fw888/46233srXft++fYiMjBSm9omKisKFCxdw4MABDBw4sETvbf0ktj1IJBJhCqnKsCC4lVwuh0qlglarxc2bN1G9evUye69Bg3Ro3foBJkxQ4/x5B4wdq8DOnU6YOVODkJD8F7isOd+3zwRAi9atH9pMP5WbxWLB/v37AQCtWrUqtF1lMHLkSAwYMADr1q1Dz549bS5WPo1q1YApU9KxaJE/tm9PxZ49TvjxRyfcvSvFihVSrFihQliYEZ06ZeL11zNRo4bp8QfNxWIBtmxRYvZsZ+j1evj6ZmLBgjQ8/7wBej2Q51pjufXgwQNcu3YNsbGxCA0NRYsWLfKN0CmOpk112LIlDadOOeDIES9cvZqFu3dliI+XQ6+XIC4OiIsDfvsNAGT/bDmUSjOqVDEhONiI4OCcYldwsPGffWY4O9vvd1R6ugS3bslw44YcN28qEBMjR3KyFEajBEYjbG7NZsBgyCla5X7OYinLqp3ln00LQIKcy7G2l2Q9PU3w8zPD3z+n0OXnZ4K/f07xK+e+Ga6ulefvgBgq6t/Q3CPZCmL9W6NSqfDiiy8Wq21AQECR0yHmbhsUFIRVq1YVq62fn5/NumQSiQT+/v5ISkoScm5t6+Hhgd27dxfruC4uLjhx4kSx2srlcly4cKFYbS0WCy5cuACz2QyTyQSTyWRTZJPL5TZ/y63rvplMJlgsFpvXuLi42LRdunQpDAaDUKyztjOZTHB3d7dpO3bsWOh0OuF56/ubTCao1Wqbtr169UJqaqpNG+t9a1vred6mTRuheJh3NGPeeBs2bAhXV1ebIqCHh4fd/5fJW0wvisRSkX6yK6jk5GRhXlp7kEgkCAgIQGJi4hP/Im/atCnu3buH3bt3l7vikcViQaNGjXD//n189913aNq0qb1DKpWcU8kw5+JjzsXHnIuPORcfcy6+ypZzhUJhM10NVXxGoxG9e/fGqFGjbD59vHz5cuh0OowdOzbfaz766CN06tQJb7zxhrBv27ZtwhTmBbF+etlKIpFAqVSiUaNGRa77QURERERET69hw4bCAJbH4YgtKpbevXvDYDDA29vb3qHkk5CQgPv370MulwvzwRIRERERUeXw6NEj4VOpuanVaty7d6/A12g0mnxTFLq7u0Oj0RT6Prt27cKOHTuEx1WrVsUXX3zxxHETEREREVHZYGGLimX48OH2DqFQp0+fBpAzH2/eOVaJiIiIiIiKo2vXrujUqZPw2Lq4/Pfff59vbQSxSCQS+Pn54e+//64UIypzu3nzJmQyGQICAko07UxpMJuBrVuVmDPHFVqtFAqFBR9/nIGBA7VwcJBgxAg/7N4NDB2ajpEjtUUeS6PRQKPRICwsTJzgK6HinucajQSHDjli3z4ljh93gNn879RxkZF6dOqUiVdfzcK33zpjyRIXmM0ShIQYsXRpGurVK9kUhqXFaDTi7t278PDwEIrz3333HcaNGweTqeCY5syZg27dugHImQEoMTER4eHhwlp02dnZ+OWXX3Dp0iWMGjVKeN2gQYNgsVjQtWtXtG7dWlhzpiCl/bvl4UMJ4uOlSEiQISEhZ2rDu3dluHdPhrt3ZdBqpY89ho+PCd7eZiQmyqDRFN4+IMCIGjWMCA83onp1660JanX5/h35tDnX6SRISpIgKUmGpCQZ0tMlwhpeWVm57/+7BlhWlgSZmbnb5KwXZm1vMlXkRdMskEoBmSxnHTmJJOex7ZazvpJUaoJUaoFcntNeLrdAJsM/27/3/92f0zbn+P8+b7HkrL1mMEiE25z12HI/zrmv10tgMuVvm/v3Fj2Nf7/fEkn+c+DffTnngXV9QOuP3r+3/34/8j9X+G1h6w2WdH+BX1kRvx4Kf04KIGcdxLxbzvtbinjOuuW0UastiI5+UPyAS5mDg0Ox27KwRRUe19ciIiIiIqq83NzcIJVK84220mg0+UZxWanVajx8+NBm38OHDwttD+RMY6lQKPLtd3JyeqK1bEqDRCKBSqWCUqmsdIUte8+20bcv0LGjFuPHq/HTT05YtMgFhw4ZMGvWQ/z4owoA0Lmz7rEfnlQqleVyHeqylpKSAo1Gg/Dw8Kc+VnHPc6US6NMH6NMnCw8e6LF3rxOio5X4/XcHnDunwrlzHpgx49/2XbvqMHu2Dq6uxb9I9qQyMzNx/fp1xMTE2GyxsbEwGAxYvHgxunfvDgAIDQ2FyWSCq6sratWqhZo1a6J27dqoWbMmatasCU9PT+G4ISEhCAkJyZMHJd566y2b9QVTU1Pxyy+/wGQy4aeffoK7uzs6d+6Mbt26oUmTJkKh3qq0f7colYC/P9CkiXWP8Z8t50JsTuFLhrt3cwpeOZsc8fEyxMXlFL6Sk4HkZGt8FoSGmlCjhhEREYZ/bnOKWCpV7nglABT/bOXb0+ZcqQS8vIC6dXPvta7d9WSMRghFrszMnC33/byPH/ecyQQ4OVmgVFqe8janyPRvkcIiFLCsxYriFArK43Tb1jXeLJacoorZnHPfbIZwvyT7cx5LhPsm0+Mf536N9bHZLIFU+m/Oc/JtWzzM/VgmyymC5H4uZ78E/v6+SE6+j4IKLbm/fznfQ0u+fbZb/oJlSYpEz4KnOc+t63AZjUZh3S6VSgXAfgNHCvpfvDAsbFGxZGdn4969ezAajahRo4a9w7EhlUrh7u7OwhYRERERUSUkl8tRrVo1XLx4UVhjy2w24+LFi3j11VcLfE1ERAQuXLhgs8bW+fPny11fhuwrKMiMjRtTsXOnElOmuOPSJQXefDNn+v3AQBPq1St8rWyj0Qi5/Nm8pPLjjz/io48+Qs2aNREdHZ2vaCIGLy8zPvhAhw8+0CEpSYq9e5X4/nslTp92gFJpxsyZD/Huu5mlegHUYrEgMTERMTExuHnzJho2bIjIyEgAwMmTJ9GrV68CX+fk5ITU1FThcaNGjXDy5EkEBgaWWu48PT3x448/YseOHfj222+RmJiIzZs3Y/PmzQgLC8Pw4cPx7rvvlsp7lZR1BIBabUS9esZ8z1ssOaPx4uPlSEqSIjDQhGrVjOCEPGVPLgdcXCxwcSkfRZ9ngVQK/DtIubC8V9zvR06RBXB0NJVJMTGnEGOBVJozqtNgMECj0cBgMMBoNAqbwWCAyWSCj4+P8OETrVaL06dPCwUc62Yt7oSGhqJOnToAAJ1OhwMHDuRrYzabYTKZEBERgeeffx5Azgcb1q9fLzxnvbXer1u3Lrp06QIg5/r6Z599BpMpJz+525nNZjRo0AADBgwQvt4PP/zQJtbcbSMjIzFp0iShbefOnaHT6YQcWAtWJpMJDRs2xJo1a4S2TZo0QXJyMoxG29/JISEhOHHiRKl/38rKs/lfGJXYgQMHMGTIEDRv3hw7d+60dzg2pk6dismTJxc6jJ+IiIiIiCq2Tp06YcWKFahWrRrCw8Oxb98+ZGdno1WrVgCA5cuXw9PTU7iw/Prrr2PatGnYvXs3GjVqhN9++w03b97EwIED7fhVUG5JSUnYtGkTjEYjJkyYYLc4JBLgnXcy8cor2Zg0yR179uRcTe/QIavIokj//v2RmpqKKVOmoMm/w1SeCc899xzMZjPOnDmDffv22RSQ7cHf34x+/bTo10+Le/ekUCgAHx/zUx/3/v37+Prrr4VCVkxMDLTaf6emHDFihFDYCg8Ph4+PD8LDw1G9enXUqFED4eHhCA8PR2BgoHARFsgpdAUFBT11fHnVqFEDEyZMwNixY3H8+HHs2LED+/btw+3bt5GVlSW00+l0MJlM5WakoUQCeHhY4OFhwHPP2Tuap3fr1i08fPgQjx49yrf5+PigX79+QtuLFy/C0dERXl5ecHd3t9voYLJlsVig1+uFLSsrC/7+/sL3Jy0tDTqdDhKJ5J+pDqWQyWTCY5VKJbS1XquUSqWPLWTnLbbk3sxmM5RKpXDczMxMZGZm5mtn3dRqtTAdqVarRVpaWqFt/fz8/hmlkzP6MzY2Fnq9HgaDQciB9X7z5s2FUaQ3btzAnj17bJ43GAyQy+VIT09HVFSUUPz566+/MH/+fJuik7XoYjAYMHToUGEU6unTpzFw4ECbQlXu13366acYMmQIAODSpUtF/g0aOXIkxowZAwC4d+8eevbsWWjbgQMHYurUqcL3+JNPPim0be/evW0KWzNnziy07dtvvy0UtsxmMzZs2FBo2+zsbJvC1g8//FBogTDvNM5Xr161+RuV24MHtlMLWnOaV0H7yjMWtqhYrP/wJCUl2TmSgkmlUpt/FImIiIiIqPJ44YUX8OjRI2zbtk1Yz2jixInC1IIpKSk2F4xq1qyJYcOG4ZtvvsHXX3+NgIAA/Oc//8k3pRfZj1arxeLFi+Hs7Izx48fbZdRPbj4+ZqxalYYDBzLx+++e+PjjjELbarVaHD16FNnZ2XB1dRUxyvLB19cXgwYNwuLFizF48GC0adMGvXv3Rps2bex+YT4w8OkLWlY6nQ5z58612SeTyRAWFiYUsKyCgoJw7ty5UnvvpyGTyfDyyy/j5ZdfxqxZs7B//360bdtWeH779u2YPn063njjDYSGhiI4OBhBQUGoUqUKAgICSrS+SWWg1+uh1Wqh0+mQkZEBrVYLR0dH1M0159+XX36JtLS0AgtWNWvWxKpVq4S2Xbp0QVpaWoHv1bBhQ5vC1qBBg3D79m0AOde11Go1vLy84OnpiYiICMyZM0doe+TIEUgkEnh6esLT0xMuLi5QKBRwcHCw+8/d07JYLMjKykJ6ejrS09ORkZEhFFRMJhNeeeUVoe1vv/2Gu3fvCkWU3Jter8d//vMfIR+bN2/GhQsXoNFokJ2dDb1eL9zq9Xrs3LlTWLtuypQp2LZtm9Amr7Nnz8LX1xcAsHjxYpvRL3kdOXJEmKZ1/vz5WLp0qfCctRBmLVYdOHBAONeWLVuW73dObt999x2aNm0KANi0aRM+++yzQtv+73//Q8uWLQEAu3btwrhx4wptu2bNGrz22msAgJ9++gnDhw8vtO2KFStsClvz588vtG3Tpk2F4o9Go8FPP/1UaNuUlBThvtlsLvL6s8Hw72hq68hphUIBuVwubAqFQigyWjk5OaFOnTrCNWRrsVEikUAqlSI4ONim7SuvvGJzvTn363L/fnByckL37t2F76210Gl93KBBA6GtQqHAyJEjbQqh1nYSiQRVq1a1+VrnzZsnxJi3iOrn52fTdu3atbBYLJDL5cJxrfnInQcA2L9/PyQSCeRyOaRSqdCuov0uYWGLisVa2LLO12nvTofV77//jsaNG5do/k0iIiIiIqp4Xn311UKnHpw2bVq+fS1atECLFi3KOCp6UoGBgQByigePW/9MTK+9lo2+fYHERHOhi7QfOXIE2dnZCAsLQ0REhLgBlhNDhgzBhQsX8OOPP+Lw4cM4fPgwAgMDsWTJErzwwgv2Du+J/f3338LFwipVquDdd98VRorWqFEDISEhFarwo1Kp0K1bN5t9p06dQlZWFr799tt87SUSCf744w9hRNnRo0cRFxeH4OBgoQD2uHXn7Emj0eDq1au4cuUK4uPjkZGRAZ1OB61Wi9q1a+M///mP0LZhw4ZIS0uzuUhu9cILL2D79u3C4+XLlxdarMo7aiIoKAgqlQqurq5wd3eHm5sb3Nzc4O7ujubNm9u0te5/+PAhzGYzUlNThWkrMzMzbdpOnDhRKILlVbNmTZuiQbdu3XD37l1h7UhrAUwulyMwMBArV64U2s6dOxcJCQlwdHQU2lrvu7m52Yx0/uWXX5CWlgYHBwfhmNb7Tk5OeC7XkLsffvgBcXFxQqHKevvo0SMAOYUZq549e+LXX38t8GuTSqW4e/eu8Hj9+vXYv39/gW2BnJGU1ovzJ0+exI4dOwptm5WVJRS29Ho90tPTC2zn4OAAvV4vPJbJZHB0dLSZFi5vzFZ5n7NOPWeVezTO4661Pq6ttQCS9zm5XC6M3sr9fO6CiZWbmxtCQ0Ntzpvc32svLy+hbWhoKN577z3hfLG28fT0RGZmpjCiFcg5RxctWiQUT3IXn+Ryuc16jXXq1MHBgwchk8kKLFhZv2cAULduXcTHxxfrOnWVKlXwww8/PLYdAHh5eeHrr78uVltnZ2csXry4WG3lcrkwgqw4ihphltcrr7xS7Okfy8uI3afFwhYVi/UfO71ej9TUVJtfZPZy9epV9OjRA+Hh4di5cyfc3d3tHRIREREREREVg1KphIeHB9LS0pCQkFBuClvFcfDgQQBAhw4dys2HPsWmUqmwceNGxMTEYMuWLdi2bRuSkpIQGhoqtHnw4AHUanWF+AS4wWDA3LlzsW7dOuzevRt16tSBTCbDokWL7B1aqVu2bBkGDRqE06dP4/Lly4iPj0d8fDwSEhJgMBhsRgFs27YNu3btsnm9t7e3UOSaN2+ecC0mOTkZCoUC7u7uZf5zYTQaERsbi8zMTNSvXx9ATiHIOk1mQTIybEdhWkf8WDk6OsLZ2RkqlQre3t42bXv06AGDwZCvUOXm5pavrfX3Q145aw8FIDExUdhnLdAYDAakpaXhwYMHwpa3gFizZk0olUo8ePAAqampNlOG5f0ZS0xMRHx8fIFxhIWF2Tw+fPgwLl26VGBbX19fm8LW4sWLcerUqQLburi44Nq1a8LjVatWFbpWj0KhsPnQvLVQIZFI4OLiApVKBScnJ6EYZzabhWJR/fr1YTAYhOdyF+0cHBxszr0uXbqgWbNmyMrKgqOjIxwcHGxuc49iGTlyJAYOHJivnYODQ74ZoqZMmYIpU6bY7Ms9jWDu9RdHjBiBwYMH51snyTpCx9PTU2g7YMAAvP/++8IIIuut9f1zF1H79euHfv36FVjIyisqKgpRUVFFtrHq0KEDOnToUKy2devWzTfCLPd5nrvI4u/vX+x1/lQqFerVq1ests/q32DKwcIWFYuDgwN8fHyQnJyMxMREuxe2zGYzJkyYAKPRiLCwMBa1iIiIiIiIKphq1arh9OnTGDduHL766qt8F4jLI6PRiMOHDwNAsS/+VWbh4eGYOnUqxo0bhz///NNm7agRI0bg+vXr6NmzJ6KiouDv72/HSAuXkJCAjz76CKdPnwYA/Pzzz6hTp46doyo7EokE9evXR8eOHW0uPlssFqSmptpclK9fvz4ePXqEhIQEYQRUSkoKUlJScP78eaxYsUJoO336dOzcuRMqlQpBQUEICgpCYGAggoKCEBwcjE6dOuUb3VQcDx48wOXLl3HlyhVhu379OrKzs9GsWTOh8KZUKhEWFga9Xo86deogLCwMrq6uUKlUUKlUNtOMAcDu3bvh6OgIFxcXODs7FzkT0OTJk0scd0koFAr4+voKU90VZN26dcJ96xpQ1in48o7SWL9+PXQ6nc26R9Yt7/dg4MCBuH//vs1aStnZ2TAYDPmmL6tfvz4cHR0LXHspbyHuhRdegLe3N1xdXeHi4gI3Nze4uLgIj3MXthYuXAi5XA5nZ+fHLjMybNiwIp/PrV27dgUWWQqSd1q3kipsiRSlUlnsUY4lacvlWIhY2KIS8Pf3Fwpbxa2cl5Vt27bh5MmTcHZ2xvTp0+0aCxEREREREZXc1KlT8cEHH+Ds2bPo3LkzNm3aZDMdUXn0559/QqPRQK1WC2udUM4aIy+99JLwOCMjA+fOnUNqairmzZuHhQsXokOHDujdu7ewbkl5cOjQIYwcORIajQZubm6YP38+3njjDXuHZRcSiSTfh5gHDhwojNixWCx4+PChMMIrNTXVphhknWJOq9Xi+vXruH79uvCcVCpFly5dhMdTpkzB2bNnhQKYdfPy8oJOp7NZU6lDhw4Frrfj7Oycrwjwww8/CFOuPU61atWK1a48kkgkcHR0LLRQWJIpUvNOVVmUklx/GzVqVLHbVqQRu0RUfrCwRcUWEBCACxcu4M6dO3aNIzU1FTNmzAAAjB492uYTYURERERERFQxNG7cGN9//z0++OAD3LlzB5cuXSr3hS3rNGPt2rWzGdlCtlxcXHDy5Ens3bsXmzdvxqlTp7B//37s378fVapUwejRo9G9e3e7xafX6zFr1iysXr0aABAZGYmVK1faTKVItiQSCdRqNdRqdYEfdt6wYQMyMzNx7949JCQkCLcJCQnQ6XQ2RbALFy7gzJkzOHPmTL7j+Pj44Ny5c8LjunXrwsnJCXXq1EHt2rWFLSQkJF+BtLhFLSIiqvj4XxgVW/PmzVGlShX07t3brnHMnDkTaWlpqF27Nvr162fXWIiIiIiIiOjJhYeHY/fu3fjpp5/w5ptv2jucx3r++edx9+5ddOrUyd6hlHtKpRLdunVDt27dcPXqVWzZsgU7duzA3bt3kZ2dLbQzGAyFrotUVrZu3SoUtfr3749PP/0UDg4OosZQGSmVSlSvXh3Vq1cvst3MmTMRGxtrU/y6d+8e7t+/jypVqiAzM1MYjbV+/foKsU4bERGJi4UtKrZBgwbZfVG+P/74A9988w0AYPbs2UXOgUxERERERETln5eXl83onb///hvR0dHo37+/3fugeXXs2BEdO3a0dxgVTq1atfD5559j4sSJiI6Otpnub8uWLVi7di06d+6MN998s0TTqD2pXr164ejRo+jWrRu/n3ZQp06dYq9jxqIWEREVpHxMakwVQu4Ohclkwu+//y56DF5eXmjRogXee+89zmdORERERERUyej1evTp0wfTpk3D6NGjYTAY7B0SlSKlUokePXrAxcVF2Pf999/j5s2bWLx4MVq3bo22bdtiyZIliI2NLbX3zc7OxvLly5GVlQUgp1iyevVqFrWIiIgqKBa2qMQyMzPRvXt3dO/eHadOnRL1vcPDw7F9+/YSLVhJREREREREFYODgwN69uwJqVSKrVu34v3338ejR4/sHRYAYNu2bbh586a9w6h0tmzZgs2bN6N9+/ZQKBS4evUq5s6di5deeglvvvnmU09TGBsbizfffBOzZ8/GtGnTSidoIiIisisWtqjElEolgoKCYDab8fHHH+Phw4dl/p65/5GVSCRcEJSIiIiIiKiS6tOnD7766is4Ozvj119/xVtvvYX4+Hi7xpSUlISRI0filVdeQUpKil1jqWycnZ3x3nvvYcOGDTh37hwWLlyIli1bQiaTwcvLC1Lpv5euvv32WyQlJRX72NHR0Xj11Vdx4cIFeHh4oH379mXxJRAREZHIWNiiJzJr1iyEhoYiPj4e48ePh8ViKbP3slgsGDBgACZPnlxuPqlHREREREREZadt27bYtWsX/Pz8cO3aNXTu3Bnnz5+3Wzw//PADAKBhw4bw9va2WxyVnVqtRo8ePfC///0PZ8+exeTJk4Xnbt++jWHDhqFJkybo1q0bNmzYgAcPHhR4nMzMTIwfPx4fffQRMjIy0KxZMxw6dAht27YV60shIiKiMsTCFj0RV1dXLF++HDKZDNHR0di2bVuZvdfBgwdx4MABbNq0CX///XeZvQ8RERERERGVH/Xq1cPu3btRu3Zt3L9/HxMmTCjTD1UW5dChQwDANZlE5OXlhapVqwqPNRoNmjRpAovFghMnTmDixIlo2LAhevbsia+//hoajQZAztSDnTt3xqZNmyCRSPDJJ59g+/btCAwMtNNXQkRERKWNhS16Yo0aNcKYMWMAAJMmTcKtW7dK/T20Wi0mTZoEABg8eDBq1KhR6u9BRERERERE5VNQUBB27dqFt99+G19++SUkEonoMWRkZODYsWMAWNiyp8jISHz//fc4efIkJk+ejPr168NkMuHo0aMYM2YMfv31VwCAQqFAYmIivLy8sGXLFowfPx5yudzO0RMREVFpYmGLnsrQoUPRokUL6HQ6jBkzptQ/PbdgwQIkJiYiJCQEw4cPL9VjExERERERUfnn6uqKZcuWoUqVKsK+33//HSaTSZT3/+WXX6DX6xEWFsYPW5YDQUFBGDx4MPbv349jx45h7NixaNiwIdq1awcACA4Oxtq1a3Ho0CG0bNnSztESERFRWWBhi56KTCbD0qVL0aJFC8yePbtUPz13+fJlrFmzBgAwY8YMKJXKUjs2ERERERERVUwHDx5Et27dMGjQIGRmZoryfkDOaC17jBijwlWtWhXDhw/Hnj17bK4ZPP/88/D397djZERERFSWWNiipxYYGIgdO3agZs2apXZMs9mM8ePHw2Qy4fXXX+cCr0RERERERAQAyM7OhkKhwP79+9G9e3ckJyeX2XtZLBYcP34cAKchJCIiIiovWNiiUnf69Gk8ePDgqY5x69Yt3LhxAyqVCp999lkpRUZEREREREQVXZcuXbB161ao1WqcPXsWXbp0QUxMTJm8l0QiwbFjx7B+/Xo0bty4TN6DiIiIiEqGhS0qVf/73//QtWtXjB49+qnW2woPD8fRo0exatUqBAYGlmKEREREREREVNE1a9YM0dHRCAsLQ1xcHLp06YJjx46VyXsplUp06NABcrm8TI5PRERERCXDwhaVqgYNGkAmk+GHH37Ahg0bnupYPj4+aN26dSlFRkRERERERJVJ9erVER0djcaNG+Phw4eIiooqs5FbRERERFR+sLBFpapu3bqYNGkSAGD69Om4cuVKiV5/6tQpHD58uCxCIyIiIiIiokrGy8sLW7duRa9evfDuu+8iPDy81I595coVtGnTBosXLy61YxIRERHR02Nhi0pd37590aZNG2RnZ2Po0KHIzMws1uv0ej3GjBmDPn36YNOmTWUcJREREREREVUGSqUS8+bNw7x584R9CQkJmDx5MtLT05/4uAcPHsS1a9dw7ty5UoiSiIiIiEoLC1tU6iQSCRYtWgQfHx9cu3YNM2bMKNbrvvzyS8TExMDb2xudO3cu4yiJiIiIiIioMpHJZML9CRMmYN26dWjdujV+/vnnJzreoUOHAAAdO3YslfiIiIiIqHSwsEVlwtvbG0uWLAEAfPXVV/jzzz+LbH/nzh2h/dSpU6FWq8s6RCIiIiIiIqqkBg8ejNDQUCQmJqJ3794YOXIkNBpNsV+fmJiIv/76CxKJBO3atSu7QImIiIioxFjYojLTsmVLDBs2DDNnzkTjxo0LbWexWDBp0iRkZWXhxRdfRNeuXUWMkoiIiIiIiCqbF154AYcPH0b//v0hkUiwbds2tGnTRhiF9TjWdo0aNYKPj09ZhkpEREREJSQvqwNnZGRg3bp1OH36NCQSCZo3b44PP/wQTk5Ohb5Gr9dj48aNOH78OAwGAxo0aID+/fvbjN5JSUnB6tWrcenSJTg5OaFly5bo1auXzZQDly5dwsaNG3H37l14eXnhnXfeQatWrYTnL1++jOjoaMTGxiItLQ1jxoxBs2bNbGJZsWIFjhw5YrOvQYMG+PTTT58uMc+YcePGPbbNvn378NNPP8HBwQGzZs2CRCIRITIiIiIiIiKqzJydnfHZZ5+hU6dOGD16NG7evIkPP/wQy5Ytw9tvv13kazkNIREREVH5VWaFraVLlyItLQ2TJk2CyWTCypUrsWrVKgwfPrzQ12zYsAFnzpzBqFGj4OzsjLVr12LBggX4/PPPAQBmsxmzZ8+GWq3GjBkzkJaWhuXLl0Mmk6FXr14AgPv372POnDlo3749PvnkE1y8eBFffvkl1Go1IiMjAQDZ2dkICwtDmzZtMH/+/ELjiYyMxJAhQ4THcnmZpeuZkJ6ejj/++MNmGofMzExMmTIFADB06FCEh4fbKzwiIiIiIiKqhJo2bYpDhw5h0aJFOHjwIF577bUi26enp+O3334DwMIWERERUXlUJpWa+Ph4nDt3DrNnz0b16tUBAH379sXs2bPx/vvvw9PTM99rdDodfvrpJwwfPhz16tUDAAwZMgQjR47E9evXERERgb/++gvx8fGYPHky1Go1wsLC0KNHD2zZsgXvvvsu5HI5Dh06BF9fX3zwwQcAgODgYFy9ehV79+4VClsNGzZEw4YNH/t1yOXyEq31ZDAYYDAYhMcSiQRKpVK4by/W97ZnDA8ePECnTp2QkJCA3bt3o0GDBgByPkE3Z84crFmzBp988kmlGa1VHnL+rGHOxceci485Fx9zLj7mXHzMORE9C5ycnDBhwgSMGjUKjo6OAACTyYT58+fjww8/hK+vr9D20aNHePPNN3Hr1i1++JKIiIioHCqTwtb169ehUqmEohYAPPfcc5BIJIiJick37R8A3Lp1CyaTCc8995ywLygoCN7e3kJh6/r16wgJCbEpNkVGRmLNmjW4e/cuqlatihs3btgcA8iZQvCrr74q8ddx+fJl9O/fHyqVCvXq1UNUVBRcXV0Lbb9r1y7s2LFDeFy1alV88cUX5WY+bn9/f7u+d9OmTXHnzh188sknOHPmjJDLPn36oE+fPnaLrSzZM+fPKuZcfMy5+Jhz8THn4mPOxcecE9GzwFrUAoC1a9di6dKl2LhxI6ZPn463334bEokEQUFBWLJkCSwWix0jJSIiIqLClElhS6PRwM3NzWafTCaDi4sLNBpNoa+Ry+VQqVQ2+93d3YXXaDSafCOo3N3dheest9Z9udtkZmZCr9fDwcGhWF9DZGQkmjdvDl9fXyQlJeHrr7/GrFmzMHPmTEil0gJf07VrV3Tq1El4bP3Ua3JyMoxGY7HetyxIJBL4+/sjKSnJrv+YT58+HcePH0dMTAz69u2LqVOnwsvLy27xlKXykvNnCXMuPuZcfMy5+Jhz8THn4qtsOZfL5eXmg2VEVL69+OKLqFevHi5evIhhw4YhOjoaX3zxBQICAuwdGhEREREVoUSFrS1btuD7778vss2iRYueKqDy4sUXXxTuh4SEIDQ0FJ988gkuXbqUb0SYlUKhgEKhKPC58nCRwGKx2DUOd3d3LF++HN26dcOOHTuwY8cOLFy4ED169LBbTGXN3jl/FjHn4mPOxceci485Fx9zLj7mnIieNXXr1sWePXvw3//+F4sWLcLhw4fRuHFjDB06FBMnTrR3eERERERUiBIVtjp37oxWrVoV2cbPzw9qtRqPHj2y2W8ymZCRkVHomlVqtRpGoxFardZm1NbDhw+F16jVasTExNi87uHDh8Jz1lvrvtxtlEplsUdrFfZ1ubq6IikpqdDCFj1e8+bNMXz4cKEAqtVq7RwRERERERERPasUCgWGDRuGjh07YvTo0Th79ixWrFgBvV6PadOm2Ts8IiIiIipAiQpbbm5u+aYYLEhERAS0Wi1u3bqFatWqAQAuXrwIi8VS6MKr1apVg0wmw4ULF/D8888DAO7du4eUlBREREQIx925cycePnwoTDd4/vx5KJVKBAcHAwBq1KiBs2fP2hz7/PnzwjGe1IMHD5CRkQEPD4+nOg4BI0aMQHx8PCwWS6VdW4uIiIiIiIgqjpo1a+L777/H2rVrcezYMbz//vv2DomIiIiIClHwYlFPKTg4GJGRkVi1ahViYmJw9epVrFu3Di+88AI8PT0BAKmpqRgxYoQwAsvZ2Rlt2rTBxo0bcfHiRdy6dQsrV65ERESEUJRq0KABgoODsXz5cty+fRvnzp3DN998g44dOwpTAHbo0AH379/H5s2bkZCQgIMHD+LEiRN44403hPiysrJw+/Zt3L59GwBw//593L59GykpKcLzmzZtwvXr13H//n1cuHABc+fOhb+/Pxo0aFAWKXumyOVyLF68GEuWLIFMJrN3OERERERERESQyWQYNGgQDh8+XOiHcomIiIjI/ko0Yqskhg0bhrVr12L69OmQSCRo3rw5+vbtKzxvNBpx7949ZGdnC/v69OkDiUSCBQsWwGg0okGDBujfv7/wvFQqxfjx47FmzRpMmjQJjo6OaNmypc0aTb6+vhg/fjw2bNiAffv2wcvLC4MHD0ZkZKTQ5ubNm/jss8+Exxs3bgQAtGzZEkOHDoVUKkVcXByOHDkCrVYLT09P1K9fHz169Ch0DS0iIiIiIiIiIiIiIiIqWxILV4guc8nJyTAYDHZ7f4lEgoCAACQmJnJBcJEw5+JjzsXHnIuPORcfcy4+5lx8lS3nCoUCPj4+9g6DKhF79ucq289nRcCci485Fx9zLj7mXHzMufiYc/FVtpyXpC9XJlMREhEREREREREREREREZU2FraIiIiIiIiIiIiIiIioQmBhi4iIiIiIiIiIiIiIiCoEFraIiIiIiIiIiIiIiIioQmBhi4iIiIiIiIiIiIiIiCoEFraIiIiIiIiIiIiIiIioQpDbOwAiIiIiIiKiwmRkZGDdunU4ffo0JBIJmjdvjg8//BBOTk6Ftt+2bRv++usvpKSkwM3NDU2bNkVUVBScnZ1Fjp6IiIiIiEobC1tERERERERUbi1duhRpaWmYNGkSTCYTVq5ciVWrVmH48OEFtk9NTUVqairef/99BAcHIyUlBatXr0ZaWhpGjx4tcvRERERERFTaWNgiIiIiIiKicik+Ph7nzp3D7NmzUb16dQBA3759MXv2bLz//vvw9PTM95qQkBCMGTNGeOzv74+oqCgsW7YMJpMJMpmswPcyGAwwGAzCY4lEAqVSKdy3B+v72uv9n0XMufiYc/Ex5+JjzsXHnIuPORffs5xzFrZEIJeXjzSXlzieJcy5+Jhz8THn4mPOxceci485F19lyXll+Toox/Xr16FSqYSiFgA899xzkEgkiImJQbNmzYp1HJ1OB6VSWWhRCwB27dqFHTt2CI8jIiIwY8YM+Pj4PPkXUEr8/f3tHcIzhzkXH3MuPuZcfMy5+Jhz8THn4nsWc85enwg8PDzsHQIAlIsO2bOGORcfcy4+5lx8zLn4mHPxMefiY86pPNJoNHBzc7PZJ5PJ4OLiAo1GU6xjPHr0CN9++y3atWtXZLuuXbuiU6dOwmOpVFrieImIiIiIqOzxP/VnQGZmJsaNG4fMzEx7h/LMYM7Fx5yLjzkXH3MuPuZcfMy5+JhzsoctW7bg3XffLXJLSEh46vfR6XSYM2cOgoOD0b179yLbKhQKODs7C5uTk9NTv//T4s+n+Jhz8THn4mPOxceci485Fx9zLr5nOeccsfUMsFgsiI2NhcVisXcozwzmXHzMufiYc/Ex5+JjzsXHnIuPOSd76Ny5M1q1alVkGz8/P6jVajx69Mhmv8lkQkZGBtRqdZGvz8zMxKxZs6BUKjFmzJgKOU0lfz7Fx5yLjzkXH3MuPuZcfMy5+Jhz8T3LOa94/9kTERERERFRhebm5pZvisGCREREQKvV4tatW6hWrRoA4OLFi7BYLAgPDy/0dTqdDjNnzoRCocDYsWPh4OBQarETEREREZF9cSpCIiIiIiIiKpeCg4MRGRmJVatWISYmBlevXsW6devwwgsvwNPTEwCQmpqKESNGICYmBsC/Ra3s7GwMHjwYmZmZ0Gg00Gg0MJvN9vxyiIiIiIioFHDE1jNAoVCgW7duUCgU9g7lmcGci485Fx9zLj7mXHzMufiYc/Ex51TeDRs2DGvXrsX06dMhkUjQvHlz9O3bV3jeaDTi3r17yM7OBgDExsbixo0bwmtzW758OXx9fcUL/inx51N8zLn4mHPxMefiY87Fx5yLjzkX37Occ4nlWZyAkYiIiIiIiIiIiIiIiCocTkVIREREREREREREREREFQILW0RERERERERERERERFQhsLBFREREREREREREREREFQILW0RERERERERERERERFQhsLBFREREREREREREREREFYLc3gFQ2Tpw4AB2794NjUaD0NBQ9O3bF+Hh4fYOq1Latm0bduzYYbMvMDAQixcvtk9AldTly5cRHR2N2NhYpKWlYcyYMWjWrJnwvMViwbZt2/Djjz9Cq9WiVq1a6N+/PwICAuwYdcX1uHyvWLECR44csXlNgwYN8Omnn4odaqWxa9cunDx5EgkJCXBwcEBERAR69+6NwMBAoY1er8fGjRtx/PhxGAwGNGjQAP3794darbZf4BVYcXI+bdo0XL582eZ17dq1w8CBA8UOt1I4dOgQDh06hOTkZABAcHAwunXrhoYNGwLgOV4WHpdznuNE5RP7c+Jhf67ssS8nPvbnxMf+nPjYnxMf+3PiY38uPxa2KrHjx49j48aNGDBgAGrUqIG9e/di5syZWLx4Mdzd3e0dXqVUpUoVTJ48WXgslXJQZGnLzs5GWFgY2rRpg/nz5+d7/vvvv8f+/fsxdOhQ+Pr6YuvWrZg5cyYWLlwIBwcHO0RcsT0u3wAQGRmJIUOGCI/lcv5peRqXL19Gx44dUb16dZhMJnz99deYMWMGFi5cCCcnJwDAhg0bcObMGYwaNQrOzs5Yu3YtFixYgM8//9zO0VdMxck5ALRt2xY9evQQHvN3ypPz9PREr169EBAQAIvFgiNHjmDu3LmYO3cuqlSpwnO8DDwu5wDPcaLyhv058bE/V7bYlxMf+3PiY39OfOzPiY/9OfGxP5cf/1pVYnv27EHbtm3RunVrAMCAAQNw5swZ/Pzzz3jrrbfsG1wlJZVK+emDMtawYUPh0wh5WSwW7Nu3D2+//TaaNm0KAPj4448xYMAAnDp1Ci+++KKYoVYKReXbSi6X87wvRXk/HTl06FD0798ft27dQp06daDT6fDTTz9h+PDhqFevHgBgyJAhGDlyJK5fv46IiAh7hF2hPS7nVo6OjjzXS0mTJk1sHvfs2ROHDh3CjRs34OXlxXO8DBSVc2tHiOc4UfnC/pz42J8rW+zLiY/9OfGxPyc+9ufEx/6c+Nify4+FrUrKaDTi1q1bNh0eqVSK5557DtevX7dfYJVcUlISBg0aBIVCgYiICPTq1Qve3t72DuuZcf/+fWg0GtSvX1/Y5+zsjPDwcFy/fp2doTJy+fJl9O/fHyqVCvXq1UNUVBRcXV3tHValodPpAAAuLi4AgFu3bsFkMuG5554T2gQFBcHb25v/JJaSvDm3+vXXX/Hrr79CrVajcePGeOedd+Do6GiPECsVs9mMEydOIDs7GxERETzHRZA351Y8x4nKD/bn7IP9OfthX85+2J8rW+zPiY/9OXGxPyc+9udysLBVST169AhmszlflVatVuPevXv2CaqSq1GjBoYMGYLAwECkpaVhx44dmDJlChYsWAClUmnv8J4JGo0GAPJNzeLu7i48R6UrMjISzZs3h6+vL5KSkvD1119j1qxZmDlzJqduKQVmsxlfffUVatasiZCQEAA557lcLodKpbJpy/O8dBSUcwB46aWX4O3tDU9PT9y5cwdbtmzBvXv3MGbMGDtGW7HFxcXh008/hcFggJOTE8aMGYPg4GDcvn2b53gZKSznAM9xovKG/TnxsT9nX+zL2Qf7c2WL/TnxsT8nHvbnxMf+nC0WtohKSe7h/aGhoULH6MSJE2jTpo0dIyMqO7k/ORkSEoLQ0FB88sknuHTpks2nc+jJrF27Fnfv3sX06dPtHcozo7Cct2vXTrgfEhICDw8PTJ8+HUlJSfD39xc7zEohMDAQ8+bNg06nw++//44VK1bgs88+s3dYlVphOQ8ODuY5TkTPPPbn6FnE/lzZYn9OfOzPiYf9OfGxP2eLH7+opNzc3CCVSvNVwjUazTM116Y9qVQqBAYGIikpyd6hPDOs5/bDhw9t9j98+JDnvUj8/Pzg6urK874UrF27FmfOnMHUqVPh5eUl7Fer1TAajdBqtTbteZ4/vcJyXpDw8HAA4Ln+FORyOfz9/VGtWjX06tULYWFh2LdvH8/xMlRYzgvCc5zIvtifsz/258TFvlz5wP5c6WF/Tnzsz4mL/TnxsT9ni4WtSkoul6NatWq4ePGisM9sNuPixYucy1QkWVlZSEpK4i9tEfn6+kKtVuPChQvCPp1Oh5iYGJ73Innw4AEyMjLg4eFh71AqLIvFgrVr1+LkyZOYMmUKfH19bZ6vVq0aZDKZzXl+7949pKSk8Dx/Qo/LeUFu374NADzXS5HZbIbBYOA5LiJrzgvCc5zIvtifsz/258TFvlz5wP7c02N/Tnzsz5UP7M+J71nvz3EqwkqsU6dOWLFiBapVq4bw8HDs27cP2dnZaNWqlb1Dq5Q2btyIJk2awNvbG2lpadi2bRukUileeukle4dWqVg7mFb379/H7du34eLiAm9vb7z++uvYuXMnAgIC4Ovri2+++QYeHh5o2rSpHaOuuIrKt4uLC7Zv347mzZtDrVbj77//xubNm+Hv748GDRrYMeqKbe3atTh27BjGjh0LpVIpfFLb2dkZDg4OcHZ2Rps2bbBx40a4uLjA2dkZ69atQ0REBP9JfEKPy3lSUhKOHTuGRo0awcXFBXFxcdiwYQNq166N0NBQ+wZfQf3vf/9DZGQkvL29kZWVhWPHjuHy5cv49NNPeY6XkaJyznOcqHxif05c7M+VPfblxMf+nPjYnxMf+3PiY39OfOzP5SexWCwWewdBZefAgQOIjo6GRqNBWFgYPvzwQ9SoUcPeYVVKixcvxpUrV5Ceng43NzfUqlULUVFRlXYeU3u5dOlSgXP2tmzZEkOHDoXFYsG2bdtw+PBh6HQ61KpVC/369UNgYKAdoq34isr3gAEDMG/ePMTGxkKr1cLT0xP169dHjx49+MnWp/Duu+8WuH/IkCHChSy9Xo+NGzfit99+g9FoRIMGDdC/f3/m/Qk9LucpKSlYtmwZ7t69i+zsbHh5eaFZs2Z4++234ezsLHK0lcN///tfXLx4EWlpaXB2dkZoaCjefPNN1K9fHwDP8bJQVM55jhOVX+zPiYf9ubLHvpz42J8TH/tz4mN/Tnzsz4mP/bn8WNgiIiIiIiIiIiIiIiKiCoFrbBEREREREREREREREVGFwMIWERERERERERERERERVQgsbBEREREREREREREREVGFwMIWERERERERERERERERVQgsbBEREREREREREREREVGFwMIWERERERERERERERERVQgsbBEREREREREREREREVGFwMIWERERERERERERERERVQgsbBEREREREREREREREVGFwMIWERERERERERERERERVQgsbBEREREREREREREREVGF8P8Bn1eL/idhVDQAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = var_irf.plot(orth=False, figsize=(18, 8))"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "21364129-77e8-4744-bea1-a80d7ce8d1e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g1 = var_irf.plot_cum_effects(orth=False, figsize=(18, 8))"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "f532a88c-7832-46a2-bd90-eeea599bacd6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"FEVD for Consumer_confidence\n",
" Consumer_confidence GDP_growth\n",
"0 1.000000 0.000000\n",
"1 0.991167 0.008833\n",
"2 0.978325 0.021675\n",
"3 0.958555 0.041445\n",
"4 0.941820 0.058180\n",
"\n",
"FEVD for GDP_growth\n",
" Consumer_confidence GDP_growth\n",
"0 0.004983 0.995017\n",
"1 0.003788 0.996212\n",
"2 0.004015 0.995985\n",
"3 0.004916 0.995084\n",
"4 0.004937 0.995063\n",
"\n",
"\n",
"None\n"
]
}
],
"source": [
"fevd = var_results.fevd(5)\n",
"print(fevd.summary())"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "06e8a17a-7865-4df8-af05-d41b2391d6d3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g3 = var_results.fevd(20).plot()"
]
},
{
"cell_type": "markdown",
"id": "3545cad2-dc79-429b-a728-8be12da24cbd",
"metadata": {},
"source": [
"# ARCH and GARCH Models "
]
},
{
"cell_type": "markdown",
"id": "3a4dac25-f7c0-45c5-b64d-720fb7773a8d",
"metadata": {},
"source": [
"Though we have seen quite many time series, but one important feature of time series we didn't mention is that volatility tend to cluster, called **volatility clustering**."
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "fc18adf6-4e0f-4ce8-8cf3-3b78047ad4ca",
"metadata": {},
"outputs": [],
"source": [
"start = dt.datetime(1950, 1, 1)\n",
"ni225 = pdr.data.DataReader(\"NIKKEI225\", \"fred\", start=start)\n",
"ni225 = ni225.dropna()"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "eee6106e-15e1-4717-86ab-791debe817b2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ec889uOKKK/w+06+++goA8NFHH3n1xExJSUH37t39ylFK4dNPP0XNmjUxaNAgr/ZTqlQpDBgwAJqmYcKECSHreujQIQBAnTp1jG2cjr59++Kcc85x/12hQgU888wzUEph9erVXvNedNFFfss7HA68/vrrABCwvb/33ntePauTkpLwwgsvAIDX5zNjxgykp6fjmWee8evF/e677yIlJcWv7M8//xx5eXkYMmSIV497wJWm56GHHkJqaipOnTqlWzczhg4dinLlyrn/rl69Oh5++GFkZGRg69atpsurWLEievbsiezsbN22Yta6detw00034cCBA5gzZw6eeeaZoPP36dMHzz33HG644Qb8+uuvqFevnvu99evXY/HixXj88cfRsmVLr+VSUlLQs2dPnD17Ft9//33E9fZ08uRJPPfccwDg9/0IZNWqVejZsycqVaqk++THww8/jNTUVOzfvx9nzpzBli1b0KVLF6Snp+PJJ5/E3LlzLau/0TZS+NREt27dvL5/ZcuWxccff6xb9pAhQ5CUlIQxY8Z4rQNwpcU599xz/Y4bHTt2RPPmzTF58mR8/PHHeOaZZ1CmTBl8++23KF++fMTbS0RERJFhGhMiIiKyjfik+wBcj62PHDkSkydPxl9//YWMjAyv3LgHDhwIe31XXHEFbrvtNsyZMwf79u1D3bp1AQBffPEFAOCVV14xXWZhqgRN05CSkoJbb70VL774Ip599lkAwIoVKwC40hfoDea2fft2AMDmzZv9Uplcf/31fvOvWrUKSincdtttqFChQtC6rVq1Ck6n052D21deXp573b6uvfZav2nJycmoUaOGbu70YEQEEyZMwLhx47B+/XqkpaXB6XS63/dNLbB27Vo4HA40bdrUr6xbbrnFb9q2bdtw8uRJNGrUSDcwBwDlypXT3c5o0Nt3hW3Nd9+dOHEC/fr1w+zZs7Fr1y6/XNOB2rvRdaxduxaA/n6rWLEiGjdu7JeTubDNLl68WDen/NGjR+F0OrFt2zb84x//0K2fEVWqVNHNLx1oXxn10ksvYejQoRg3bhw6dOiAK6+8Mqxyli1bhoEDB6JSpUpYsmRJwJQvhd544w1Mnz4djz/+OL755huULVvW6/3C/ZqRkaH7fSy86WdlO83OzsbDDz+M7du3o1OnTvjXv/4Vcplt27bhwQcfRF5eHiZPnqx7Q+aNN97w+vuSSy5B7969cf7556Ndu3bo0qULmjdvHnH9zbSRP/74AwD8bioCrvbvG+Q/ffo01q9fj/POOw+DBw/WXX+ZMmX8Pg9N0zB+/Hg0btwYXbt2BQB3/nwiIiKyH4PdREREZIuzZ8/i5MmTAIBq1aq5pz/55JOYNm0aGjRogIcffhg1a9Z09woePHiw14Bh4XjttdewZMkSjB49Gj179sThw4cxc+ZMNG7cWDe4HIqEGEjvxIkTAICpU6cGnS8rK8tvWs2aNf2mpaenA4Bfj9tg6161apVu0DLYuvV6/AKuHsSegWoj3nzzTQwePBi1atXCvffei9q1a7t7UY4bNw5///231/wZGRk455xzdHMFF+Yi91S4ndu3bw+ap1lvO33VqlULQGQ3VfT2XeG2eO679PR0XHfdddi9ezeuv/56PPfcc+7tTk9Px5AhQwK2d6PrKMzzrrffAk0v3J/9+vXTXaaQkf0ZTLA2BsB0OytUqlQpfPLJJ2jRogU6duyIOXPmhFXO2rVrcerUKTRt2hSXXnppyPmXLFkCAGjRooVfoBso2q8//fST14CVviLdr4Wys7PxwAMPYNmyZXjzzTfRt2/fkMts27YNzZo1w8mTJzF58mQ89NBDptb50ksv4Y033sC6detw6tSpsMZX8GSmjQRr60lJSTjvvPO8pqWlpUFEcOzYMdP53atVq4bbbrsNkydPxrnnnss83URERHGEwW4iIiKyxbJly5Cfn48aNWq4BzVcvXo1pk2bhrvvvhtz5szxCnYqpfDJJ59EvN7CwRu//PJLvPfee5YOTKmnMKXIjBkzTAeOPHu8FyoM/hgJxhau+4033sDAgQNNrdsqR48exdChQ3HllVdi+fLlfsGvSZMm+S1TuXJlnDx5Evn5+X4B7yNHjvjNX7idjz76KH744YeI6lvYA3r16tXIyMgwndbGjNGjR2P37t14//33/Xr6rlixAkOGDIl4HZUrVwagv98CTS/c5oyMDPfyieaBBx5As2bNMHfuXPz8889hldG2bVscPXoUI0aMwEMPPYTp06f7pbrwNH36dLRq1Qovvvgi8vLy/AaaLNyvQ4YMQfv27cOqk1GnTp3CAw88gKVLl6JTp06GAt2bN2/GXXfdhRMnTmDq1Kl4+OGHTa+3bNmyqFSpEtLS0pCdnR1xsNuMwv175MgRNGjQwOu9/Px8HD9+3Cs9UeH811xzjbtXuFGTJ0/G5MmTcd555+H48eNo3749Ro0aFeEWEBERkRWYs5uIiIhiTimFXr16AQCefvpp9/QdO3YAAB566CG/IOfvv/+OM2fORLzu5ORkvPTSSzhw4ABSU1MxevRoVKxYMWQu3nDdeOONAIClS5daUt71118Ph8OBJUuW+KW8CDSvVesOpDA9gF5P3F27dkEphXvuuccv8LV//37s2rXLb5lrrrkGSiksX77c771ly5b5Tbv00kuRkpKClStXulOzhOvCCy/E3XffjbNnz4bs2QwgoicNCtv7448/7vfe4sWLwy7XU2HOd739lpWVhXXr1vlNt7rN2qUwV/vbb7/tlQrJKE3T8Pnnn6NDhw6YP38+HnjggaDfubp162LJkiW45JJL8PLLL2P48OFe78dqv2ZkZOCee+7B0qVL0a1bN0OB7g0bNuCOO+7AyZMn8cMPP4QV6AaArVu3Ii0tDZUqVfLrSR1tTZo0AaD/3Vm2bJnf8alixYq44oorsGnTJvdTRkbs2LEDbdq0QbVq1bB27VrcdtttGD16NCZPnhzZBhAREZElGOwmIiKimDp69ChatmyJRYsW4YILLnDnPAXg7uHtm0P46NGj+N///mdZHdq0aYNSpUqhbdu22L17N55++umo9UB8+OGHcdFFF2H48OGYPXu27jwrVqzA6dOnDZVXrVo1tGzZEocOHdIN4mVlZbkf569evTqeeeYZrF69Gh9++KFuMHrnzp3YvXu3ya3yVjjQ6N69e/3eK/xMfYNNWVlZaN26NfLz8/2WKRxM791330Vubq57ekZGBj788EO/+ZOSktCuXTscOnQI7du3170pcujQIfz111+Gtmfo0KGoXLkyPv74YwwYMEC3jnv37kXLli3deZjDEai9r127NuCAemY9/PDDqFKlCiZMmID169d7vffRRx+50+J4atu2LZKTk/HGG29g27Ztfu/n5uYmRCD8mmuuwbPPPov169frPkFg1KBBg9ClSxcsXLgQ9957LzIzMwPOW6tWLSxevBhXXXUV2rZtiwEDBrjfu/baa3Hrrbfihx9+wJgxY3SX37BhA44ePRp2XdPS0nD33Xdj5cqV6NmzZ8Ac9p7WrVuHZs2a4dSpU5gxYwYeeOCBoPPv3r1bNzh87Ngx9yCpLVu21E1DFE2FA+r26tXLq35nz55Fly5ddJd58803kZubi1atWul+F9LS0rx6fefm5qJly5bIysrCV199hTp16mDixIk499xz8fLLL2Pnzp2WbhMRERGZxzQmREREFDWFqRmUUkhPT8emTZuwbNky5Obm4vrrr8eECRO8ev9dd911uPnmm/HDDz+gadOmuOWWW3DkyBHMmTMHl1xyCc4//3xL6nXBBRfggQcewMyZMwEgailMAFdP8h9++AH33nsvHnjgATRt2hSNGzdG+fLlsW/fPqxatQq7du3CoUOHUL58eUNlDhs2DBs3bsSIESOwaNEi3HvvvShdujR2796NefPmYebMmbjjjjvc827fvh3vvfcevv76a9xyyy2oUaMGDh48iM2bN2PVqlWYNGkSLrzwwrC3sVmzZnA4HOjSpQs2btyIqlWrAnAFq2vWrImWLVti8uTJaNy4Me655x5kZGTgp59+QtmyZdG4cWO/3sXPPfccJk+ejLlz5+LKK6/EQw89hLy8PHz//fe47rrrsHXrVjgc3n02unfvjvXr12PEiBFITU3FnXfeidq1a+Po0aPYvn07fv31V/Tq1QuXX355yO257LLLMG/ePDzxxBN4++23MWTIENx11104//zzkZ2djfXr1+PXX3+Fpmno3Llz2PvtueeeQ79+/dChQwcsXLgQjRo1wvbt2zFr1iw89thj+Pbbb8Muu1DlypUxfPhw/Oc//0HTpk3x73//G7Vq1cLy5cuxfv163H777Vi8eLHX/rz00ksxZswYtGrVCldccQWaN2+Oiy++GHl5edi7dy+WLl2KatWqYcuWLRHXL9p69eqFqVOnunvRh6t3794oW7Ys3n//ffzzn//E3Llz3e3cV7Vq1dyB8bfffhtnz55Ft27dAAATJ07EnXfeiRdffBFDhw7FDTfcgJSUFOzfvx9//vknNm7ciBUrVqB69eph1fOxxx7D6tWrcdFFF0EppTsQ5iOPPILGjRsDcAVz77rrLpw8eRJ33XUXVqxYoXsDp0OHDu4USosXL8Yrr7yCW265BQ0aNMA555yDvXv3Yvbs2cjIyMC1115rScops26++Wa0a9cOn376Ka688ko88cQTSE5OxowZM1C1alV3Pn5PrVq1wpo1a/DZZ5/hoosuwr333osLLrgAJ0+exO7du7FkyRK88MILGDFiBACgU6dOWLNmDd58803cd999AFzjJ4wbNw4PPvggnnzySSxfvtxv0F0iIiKKISEiIiKyGACvf6VLl5Zzzz1XmjRpIi+99JLMmTNHnE6n7rInTpyQV199VerVqydlypSRBg0aSJcuXSQ7O1vq1asn9erV85p/7NixAkDGjh3rNV1vXk/Tp08XAHLttddGtI1GHTlyRDp37ixXXHGFlCtXTipUqCANGzaUxx9/XL7++mvJy8tzz/v+++8LAFm4cGHA8rKysuSjjz6Sq666SsqVKycVK1aUyy67TF5//XU5cuSI17w5OTny6aefyk033SSVK1eW0qVLS926deXOO++UQYMGyfHjx93zLly4UADI+++/r7veQPv166+/lquvvlrKli3rt2+ys7Ola9euctFFF0mZMmWkTp068tprr8nx48fl9ttv192PZ86cke7du0v9+vWldOnSUq9ePenatavs379fAMjDDz/st4xSSsaPHy933nmnVK1aVZKTk+X888+Xm2++WXr16iV79+4NuD/1nDp1SgYOHCh33HGHVKtWTZKSkqRy5crSpEkTeeedd2TXrl1e8wfaFpHA7XTTpk3y4IMPSrVq1aR8+fLSpEkTGTVqlOzevVsAyPPPP+81//PPPy8AZPfu3X7rCPbZzZ49W2666SYpV66cpKSkyEMPPSSbN2+WBx54QABIWlqa3zJ//vmnPP/883LBBRdI6dKlpWrVqnLFFVdImzZtZMGCBcF2XcjtDvb9NNL+PRXuk59++kn3/XfeecfdJkeNGuX1nt5nFmw/fvLJJwJArrnmGjl27JjX+n0/k4yMDGnatKkAkHfffdc9PTMzU3r16iVNmjSRChUqSNmyZaV+/fpy//33y8iRIyUrK8s9b6D9F0i9evX8jr++/zzLKmxnof55blthu7jyyivlnHPOkaSkJKlatarccsstMnToUMnJyTFU10KFn4Hv5x1OG1FKyaeffiqXXnqplC5dWmrVqiWvvfaapKenBy0vNTVVHnjgAalWrZokJydLjRo15LrrrpNu3brJ5s2bRURk5syZ7t+M3NxcvzLeeOMNASDt27c3tf1ERERkLU1ExNrwOREREVH869GjB3r27InRo0fjxRdftLs6ZNBPP/2Ee+65B++8845lqT5KKqfTiQYNGiA3NxeHDh2yuzpERERERBFjzm4iIiIqcU6dOoURI0bgnHPOwVNPPWV3dUjHwYMH/aadOHEC77zzDgDg0UcfjXWVElZ6erpfTngRwUcffYS9e/dyXxIRERFRscGc3URERFRi/Pjjj/jjjz+QmpqKI0eOoH///obzZFNsvfnmm1i/fj2aNm2KatWqYf/+/ZgzZw5OnjyJl19+Gddff73dVUwYK1euxJNPPol77rkH9evXR1ZWFlauXIl169ahbt26unmdiYiIiIgSEYPdREREVGJMnToVX331FWrUqIEuXbrgjTfesLtKFMBjjz2GI0eOIDU1Fenp6ShbtiyuuOIKvPjii0w7Y9Ill1yCFi1a4Ndff8Xs2bORn5+POnXqoH379ujatWvYgyESEREREcUb5uwmIiIiIiIiIiIiooTHnN1ERERERERERERElPAY7CYiIiIiIiIiIiKihMdgNxERERERERERERElPAa7iYiIiIiIiIiIiCjhJdldATulpaUhPz/f7mrEXLVq1XDs2DG7q0EUEtsqJQK2U0oUbKuUCNhOKRGwnVKiYFulRMB2SkYkJSWhatWqxuaNcl3iWn5+PvLy8uyuRkxpmgbAte0iYnNtiAJjW6VEwHZKiYJtlRIB2yklArZTShRsq5QI2E4pGpjGhIiIiIiIiIiIiIgSHoPdRERERERERERERJTwGOwmIiIiIiIiIiIiooQXk5zdc+fORWpqKtLT01GvXj20atUKDRs21J133759+Pbbb7F7924cO3YMzz//PB544AGveaZMmYLvvvvOa9r555+PwYMHR2sTiIiIiIiIiIiIiCiORT3YvXz5cowfPx6tW7dGo0aN8OOPP6JXr14YPHgwqlSp4jd/Tk4OatSogZtuuglfffVVwHLr1q2L7t27u/92ONhJnYiIiIiIiIiIqLjKz8/H6dOn7a4GRUH58uWRlBR5qDrqwe5Zs2bhrrvuQrNmzQAArVu3xh9//IGFCxfikUce8Zu/YcOG7l7fEydODFiuw+FASkpKNKpMREREREREREREcSQ/Px/Z2dmoVKkSO70WM0opnDp1ChUqVIg44B3VYHd+fj527drlFdR2OBy46qqrsG3btojKPnz4MF5++WUkJyfj4osvxtNPP43zzjtPd968vDzk5eW5/9Y0DeXKlXO/LkkKt7ekbTclHrZVSgRsp5Qo2FYpEbCdUiJgO6VEwbZKicBsOz19+jQD3cWUw+FApUqVkJWVpZsJxIyoBrszMzOhlPLrgZ2SkoKDBw+GXW6jRo3w2muv4fzzz0daWhq+++47vPfeexgwYIA7iO1p2rRpXjm+L7zwQvTt2xfVqlULuw6JrmbNmnZXgcgQtlVKBGynlCjYVikRsJ1SImA7pUTBtkqJwGg7PXv2LMqUKRPl2pCd8vLyUKtWrYjKiMkAlVa75ppr3K/r1avnDn6vWLECd955p9/8jz76KFq0aOH+u/CO0bFjx5Cfnx/9CscRTdNQs2ZNHD58GCJid3WIAmJbpUTAdkqJgm2VEgHbKSUCtlNKFGyrlAjMttOcnBwGu4u5nJwcHDp0yG96UlKS4U7LUQ12V65cGQ6HA+np6V7T09PTLc23XaFCBZx//vk4fPiw7vvJyclITk7Wfa+kHvRFpMRuOyUWtlVKBGynlCjYVikRsJ1SImA7pUTBtkqJgO2UPEXaFqKa5CYpKQkNGjTAxo0b3dOUUti4cSMuvvhiy9Zz9uxZHD58mANWEhEREREREREREZVQUc/o3qJFCyxYsACLFi3C/v37MXr0aOTk5OCOO+4AAAwbNgwTJ050z5+fn489e/Zgz549yM/Px8mTJ7Fnzx6vXtvjx4/HX3/9haNHj2Lr1q3o168fHA4HbrnllmhvDhEREREREREREZEhHTp0QO3atTFs2DCv6XPnzkXt2rUBAMuXL0ft2rWRkZGh+zcAHD58GHfddRcee+wxZGZmmppH79/Ro0cBAAMGDMA///lPdxkTJkzAo48+issvvxyXX345nnzySaxdu9b9fl5eHnr16oW77roLDRs2RJMmTdC+fXu/jBs33HCD3zp990E0RD1nd9OmTZGZmYkpU6YgPT0d9evXR9euXd29sI8fP+416urJkyfRqVMn99+pqalITU3F5Zdfjh49erjnGTJkCE6dOoXKlSvj0ksvRa9evVC5cuVobw4RERERERERERGRYWXLlsVnn32GZ599NqzMFHv27MFTTz2FRo0aYeTIkShXrpypeZYsWYJKlSp5zX/eeefprmvFihV4+OGHce2116Js2bIYPnw4nn76afzyyy+oVasWzpw5gw0bNuD111/H5ZdfjoyMDLz//vt44YUXMGfOHK+y3n77bTzzzDPuvytWrGh6282KyQCVzZs3R/PmzXXfKwxgF6pevTqmTJkStLwOHTpYVDMiIiIiIiIiIiKi6LnllluwZ88eDBs2DO+++66pZf/66y8888wzuPnmmzF48GAkJfmHc0PNc95556FKlSqG1ufb+7p///6YPXs2li1bhn/961+oXLkyJk+e7DXPRx99hAceeAAHDhxw91YHXMHt6tWrG91US0Q9jQkRERERERERERGRVUQEknPWnn9hDKBYqlQpvPPOOxg7diwOHjxoeLnVq1fjiSeewP33349PP/1UN9BtZJ5InDlzBvn5+UF7pGdmZkLTNL+sG8OHD8cVV1yBe+65B59//jny8/MtrZuemPTsJiIiIiIiIiIiIrJEbg5U23/bsmrHsClAmbKml7vvvvtw+eWXY8CAARgwYIChZV566SU8+OCD6NWrV0TzXHvttV5/16lTBwsXLjRUh169eqFGjRq49dZbdd8/e/YsevfujUceecQrVUqrVq1w1VVXISUlBatXr0afPn1w5MgRvywfVmOwm4iIiIiIiIiIiCjKunXrhn//+9945ZVXDM1/zz33YO7cufjtt99www03hD3PtGnTUKFCBfffycnJhtY/bNgwzJw5E1OnTkXZsv4B/ry8PLzyyisQEXz88cde77388svu15dffjlKly6Nzp07o0uXLihTpoyh9YeDwW4iIiIiIiIiIiJKHKXLuHpY27TucN144424/fbb8fHHH+Pf/w7dM71v377o1asXnn32WXz99de48cYbw5qnbt26hnN2FxoxYgSGDx+OyZMn4/LLL/d7vzDQvX//fkyZMsVvAExf11xzDfLz87Fv3z40bNjQVF3MYLCbiIiIiIiIiIiIEoamaWGlEokHXbt2xT333IOLLroo5LyapuGTTz6Bpmn4z3/+g/Hjx+Omm24yPY9Zn332GYYOHYoJEybg6quv9nu/MNC9e/duTJ06Feecc07IMjdt2gSHw4HzzjsvorqFwmA3ERERERERERERUQxcdtllePTRRzFmzBhD82uahr59+6JUqVLuYHbTpk1NzXP8+HHk5OR4LVO1alXddCbDhw9H//79MWzYMNStWxdHjx4FAFSoUAEVKlRAXl4e2rRpgw0bNuCrr76C0+l0z5OSkoLSpUtj9erVWLt2LZo2bYqKFStizZo16NGjBx577LGgA11agcFuIiIiIiIiIiKbyIG9QG4OtAsb2V0VIoqRjh07IjU11fD8mqahd+/ecDgceO655/DVV1+5ercbnOe2227zK3PmzJn4xz/+4Td9/PjxyM3NRZs2bbymv/nmm3jrrbdw+PBhzJ8/H4ArX7inqVOnomnTpihTpgxmzJiBgQMHIjc3F3Xr1kXr1q39yowGTUQk6muJU8eOHUNeXp7d1YgpTdNQq1YtHDp0CCX4o6cEwLZKiYDtlBIF2yolArZTSgRspxQNztYPAQAcA7+BVqmyJWWyrVIiMNtOMzMzUbmyNd8Rik+BPuPk5GRUq1bNUBkOqytFREREREREREQmpZ+wuwZERAmPwW4iIiIiIiIiIiIiSngMdhMRERERERERERFRwmOwm4iIiIiIiIiIiIgSHoPdRERERERERERERJTwGOwmIiIiIiIiIiKiuKeUsrsKFCVWfbYMdhMREREREREREVFcK1++PE6dOsWAdzGklMKpU6dQvnz5iMtKsqA+RERERERERERERFGTlJSEChUqICsry+6qUBRUqFABSUmRh6oZ7CYiIiIiIiIiIqK4l5SUhMqVK9tdDYpjTGNCRERERERERGQ3ze4KEBElPga7iYiIiIiIiIiIiCjhMdhNRERERERERERERAmPwW4iIiIiIiIiIiIiSngMdhMRERERERERERFRwmOwm4iIiIiIEo6czoJzSA+olQvtrgoRERERxQkGu4mIiIiIKOHIj1OBjX9Avhxkd1WIiIiIKE4w2E1ERERERIkn+5TdNSAiIiKiOMNgNxERERERERERERElPAa7iYiIiIiIiIiIiCjhMdhNRERERERERERERAmPwW4iIiIiIiIiIiIiSngMdhMRERERERERERFRwmOwm4iIiIiIiIiIiIgSHoPdRERERERERERERJTwGOwmIiIiIiIiIrKBiNhdBSKiYoXBbiIiIiIiIiIiIiJKeAx2ExERERERERHZTrO7AkRECY/BbiIiIiIiIiIiIiJKeAx2ExEREREREREREVHCY7CbiIiIiIiIiIiIiBIeg91ERERERERERERElPAY7CYiIiIiIiIiIiKihMdgNxERERERERERERElPAa7iYiIiIiIiIjsIGJ3DYiIihUGu4mIiIiIiIiIiIgo4THYTUREREREiUfT7K4BEREREcUZBruJiIiIiIiIiIiIKOEx2E1ERERERERERERECY/BbiIiIiIiIiIiIiJKeAx2ExERERFR4hGxuwZEREREFGcY7CYiIiIiIiIiIiKihMdgNxERERERERGRLfiUChGRlRjsJiIiIiIiIiIiIqKEx2A3EREREREREZHdNM3uGhARJTwGu4mIiIiIiIiIiIgo4THYTUREREREREREREQJj8FuIiIiIiIiIiIiIkp4DHYTERERERERERERUcJjsJuIiIiIiIiIiIiIEh6D3URERERERERERESU8BjsJj9yYC+cn/WG7N9td1WIiIiIiIiIii+xuwJERMVLkt0VoPijBnQDTmVAbV6PUp9+a3d1iIiIiIiIiIiIiEJiz27ydyrD9f/ZM/bWg4iIiIiIiKjE0OyuABFRwmOwm4iIiIiIiIiIiIgSHoPdRERERESUeDT2gCSi4oYJvImIIsVgNxERERERERERERElPAa7iYiIiIiIiIiIiCjhMdhNRERERERERERERAmPwW4iIiIiIiIiIjsI83QTEVmJwW4iIiIiIiIiIiIiSngMdhMRERERERER2U6zuwJERAmPwW4iIiIiIiIiIiIiSngMdhMRERERERERERFRwmOwm4iIiIiIEg8HdSMiIiIiHwx2ExEREREREREREVHCY7CbiIiIiIiIiIiIiBJeUixWMnfuXKSmpiI9PR316tVDq1at0LBhQ9159+3bh2+//Ra7d+/GsWPH8Pzzz+OBBx6IqEwiIiIiIiIiIiIiKt6i3rN7+fLlGD9+PJ544gn07dsX9erVQ69evZCRkaE7f05ODmrUqIGnn34aKSkplpRJRERERERERBR/OP4AEZGVoh7snjVrFu666y40a9YMderUQevWrVG6dGksXLhQd/6GDRviP//5D26++WYkJydbUiYRERERERERERERFW9RTWOSn5+PXbt24ZFHHnFPczgcuOqqq7Bt27aYlZmXl4e8vDz335qmoVy5cu7XJUnh9hrd7pK2fyh+mG2rRHZgO6VEwbZKicB0O/WYj22bYoXHU7Kc57HMoVnWtthWKRGwnVI0RDXYnZmZCaWUXzqSlJQUHDx4MGZlTps2Dd9995377wsvvBB9+/ZFtWrVwqpDcVCzZs2A7+3zeF2rVq3oV4YoiGBtlShesJ1SomBbpURgtJ2eLFcO2QWvec5KscbjKVlF8vKwv+B1qclfoEa/Ly0tn22VEgHbKVkpJgNU2u3RRx9FixYt3H8X3jE6duwY8vPz7aqWLTRNQ82aNXH48GGIhM4NdujQoRjUisif2bZKZAe2U0oUbKuUCMy2U+eZM+7XPGelWOHxlKwm+UVPoef+td6y4xnbKiUCtlMyKikpyXCn5agGuytXrgyHw4H09HSv6enp6QEHn4xGmcnJyQHzf5fUL5OIGNr2krp/KH4YbatEdmI7pUTBtkqJwHA79ZiH7ZpijcdTsopvO7K6XbGtUiJgOyUrRXWAyqSkJDRo0AAbN250T1NKYePGjbj44ovjpkwiIiIiIkowzO9JRERERD6insakRYsWGD58OBo0aICGDRti9uzZyMnJwR133AEAGDZsGM455xw8/fTTAFwDUO7fv9/9+uTJk9izZw/Kli3rzuETqkwiIiIiIiIiIiIiKlmiHuxu2rQpMjMzMWXKFKSnp6N+/fro2rWrO+XI8ePHvUZdPXnyJDp16uT+OzU1Fampqbj88svRo0cPQ2USEREREREREcU9Zm4gIrJUTAaobN68OZo3b677XmEAu1D16tUxZcqUiMokIiIiIiIiIiIiopIlqjm7iYiIiIiIiIiIiIhigcFuIiIiIiIiIiIiIkp4DHYTERERERERERERUcJjsJuIiIiIiIiIiIiIEh6D3UREREREJYj8vRPOIT0h+3fbXRUiIiIiIksl2V0BIiIiIiKKHdWnI5CfD7VrK0oNmWh3dYiIiIiILMOe3UREREREJUl+vuv/01n21oOIiACI3RUgIipWGOwmIiIiIiIiIiIiooTHYDcRERERERERERERJTwGu4mIiIiIKPEIH/0nIiIiIm8MdhMRERERERERERFRwmOwm4iIiIiIiIiIiIgSHoPdRERERERERERERJTwGOwmIiIiIiIiIiIiooTHYDcRERERERERERERJTwGu4mIiIiIKPFomt01ICKKnIjdNSAiKlYY7CYiIiIiIiIiIiKihMdgNxERERERERERERElPAa7iYiIiIiIiIiIiCjhMdhNRERERERERERERAmPwW4iIiIiIiIiIiIiSngMdhMRERERERERERFRwmOwm4iIiIiIiIiIiIgSHoPdRERERERERER2ELsrQERUvDDYTUREREREREREREQJj8FuIiIiIiIiIiIispUcOwzZv8fualCCS7K7AkRERERERESBiFLQHOynRURU3KmubQAAjgHjoVVOsbcylLB4xkBERERERERxSY0fBtXpBUh2lt1VISKiWDl22O4aUAJjsJuIiIiIiChOiZTs0etk6XwgIw2yfIHdVSEiIqIEwGA3ERERERFRHJINq6E6PA1Zu9LuqhARERElBAa7iYiIiIiI4pAa+gFwOhvqs952V4WIiIgoITDYTUREREREREREZBHJyoT6ciBk83q7q0JU4jDYTURERERERERki5Kdl7+4kqljISsXQQ3sbndViEocBruJiIiIiIgovml2V4CIyDg5cdTuKhCVWAx2ExERERERBSBHD8LZpTXUotl2V4WKMRH27iUiIrICg91EREREREQBqElfAMePQCaMsLsqVEypLwdBfdgBkp9vd1WIiIgSHoPdREREREREgTAASVEmKxcC+3YDW/60uypERPFBY+4qCh+D3URERERERERERESU8BjsJiIiIiIiIiIiIqKEx2A3ERERERERERERESU8BruJiIiIiIiIiOwgYncNyAZy8jjk4F67qxG/mLObIpBkdwWIiIiIiIjiFi+4iYjIYqpzKwCAo99YaCnn2lwbouKFPbuJiIiIiIiI7MYbK0Qlz6H9dteAqNhhsJuIiIiIiIjiHAPBREREFBqD3URERERERERERESU8BjsJiIiIiIiIiIiIqKEx2A3ERERERERERERESU8BruJiIiIiIiIiIiIKOEx2E1ERERERERkN47BSUQByIG/4ezUCmrpfLurQhT3GOwmIiIiIiIispvYXQGyBz94Ck2NGwqkHYeMH2Z3VWKEd/8ofAx2ExERERERERERxStnvt01IEoYDHYTERERERERERERUcJjsJuIiIiIiIiIiIiIEh6D3VSsyIG9UDMnQc6esbsqRERERBRNGvN5ligl4fMuAZtIRGQIj4cUgSS7K0BkJdWjretFVga0p1+xtzJEREREREREREQUMwx2U7Egf62Dmv5N0d97dthYGyIiIiKixCCnMoCy5aAll7a7KkREREQRY7CbigU16D27q0BERERExVGQ9BmyfzdQoTK0qufGsELWkYw0qLefBypVQamBX9tdHSICILk50EqXsbsaREQJizm7iYiIiIgo8YjYu/pjh6F6vg7V6QVb6xEJ2fKn68WpDHsrEiWyezvUjAmQvFy7q0IUmO+hLO2ELdUgiislYZwGihr27CYiIiIiIjJr7y73S3E6oZUqZWNlSga1chG05GRo/7jZ2Py933K90BzQHnoqijUjIiKieMGe3URERERERBGQ1cvsrkLxl5UJ+XIg1Ii+kPw8U4vKwb+jVCmrsScjwfanVihOsaczkWEMdpdQauMaOEf0gZzKtLsqRERERESJ7ewZu2tQ/HnuY6XsqwcREUWF8EYPWYRpTEooNbgHAEBKl4XWqoOtdSEiIiIiIgrOo1cj4yF+RAQae34SUbHB4xmFjz27SzhJL6aDX/BEj4iIiIgswfNKipXwovjql1lQnV6AHN5vcX2IKBqY+soI3tWk8DHYTUREREREVBKxg0ixIJO+ANJPQk0caXdVyApM5VCsyakMqJGf2F0NomKNwe4SSGWdKvqD+QWJiIiIiCLD4FT0ecXli+v+jvDmA3OZFwuyfIHdVaBoOp1tdw2Iij0Gu0sgyc0p+sPptK8iREREREREUaYxFQ3FM5+bZfLHcpsqEpwoBcnOsrsaVJzxxjFZhMFuIiIiIqISTA7th+zcYnc1iIJjyhUiW6khPaE6PA3Zv9vuqpRMJS4QzGM+hY/BbiIiIiKiEky99xpUn06QtGI6cHksMBBL8YDtsHiI16DmX2sBALJ4ns0VSXD8mhJFHYPdVDzxRI+IiIjInGOH7a4BERHFvTgNxhd3jHEQGcZgNxERERERUSTitScmlSwMhhFRQuNvKVkjye4KkM14QkRERERECURycoAtfwK5uXZXJfEl6rVAcb25kKifBxGZwO+5IdxNFAEGu4mIiEoAycuDlpxsdzWIiCIm44ZAVi+zuxoUc+YiH5Kf77EooyZElimuN5uIqNhgGhMiIqJiTi1fAPXa41DLf7G7KlTCiHJCfdEPat4PdleFipGYB7oZJ004knMW6q3/2F0NIiIisgGD3SUdezkQERV7MnZIwf+D7a0IlTwb/oCsWgr5bpzdNSEjeF5I8cxM89y6ATid7f5TDvxtfX2IouXYYUh+nt21CIwduyPD39rA2LbIIjFJYzJ37lykpqYiPT0d9erVQ6tWrdCwYcOA869YsQLffvstjh07hpo1a+KZZ55BkyZN3O8PHz4cixcv9lrm6quvRrdu3aK2DURERERkjuSetbsKRLERJHghB/cCRw9Ba3xDDCtU3JmMiBzaF51qEFnCvz2rVx9HqVEzXe9mZQL5+dBSzol1xYhsxJsCFL6oB7uXL1+O8ePHo3Xr1mjUqBF+/PFH9OrVC4MHD0aVKlX85t+6dSuGDBmCp59+Gk2aNMGyZcvQr18/9O3bFxdccIF7vsaNG+O1114r2pAkph8nD7xbSkRERGQO87CGL8i+U++3BQA4OveF1vCyWNWISiJeAxVL6o1nAQCOoZOhlStvc20Adr8longX9TQms2bNwl133YVmzZqhTp06aN26NUqXLo2FCxfqzj979mw0btwYDz30EOrUqYOWLVuiQYMGmDt3rtd8SUlJSElJcf+rWLFitDel+PA8GS+uJ0S8WCMiIiKiOCL7d9tdhQTncd3CU/0Aium1HbkcP2J3DYiIEkJUu0Pn5+dj165deOSRR9zTHA4HrrrqKmzbtk13mW3btqFFixZe066++mqsWrXKa9pff/2Fl156CRUqVMCVV16Jli1bolKlSrpl5uXlIS+vKOeVpmkoV66c+3VJore9wfZB4u4fLYHrTkBR2+PnSPEsEdtpItWVrGNXW9WguWNSbHvxyfNz0TR7z58iaafRrLem6bdj0bznCVUHLcLz02hsY6Bti0uebRXB6ysGrnnU70sga36F44UO0MqWM1GNKB5PI/wOaloCfI7kL8Bn5vtZhmr3gZaP1rGDgtMA/eOr774z/L33/r0uLjzbqeYzvThtJ8VWVIPdmZmZUEohJSXFa3pKSgoOHjyou0x6erpfepMqVaogPT3d/Xfjxo1xww03oHr16jh8+DAmTZqE3r17o1evXnA4/DurT5s2Dd9995377wsvvBB9+/ZFtWrVwt+4BOY8ccz9unRyMmrUquX1vmdGu1o+78Ur3yx8pcuU9tsuSkw1a9a0uwpEIcV7O03E4zpFR6zb6umqKThR8JptL374HhMK/z73vPNQJg4+p1DtVC/7cjTb17EyZVGYfd5zPaerVnW37ypVKqNirVoQZz4ggOaRYrGwvlVSqqCiyXpG+/jtuQ3x+h0t3AcVK1TAqYLXNWvWhKNC4Cd7z+w7B8d9pvlu374v+gEAKlx6Jao83cZ0vaw8nrq/g+ecg7JhfA6Fy5cpUxbV4vRzpMBU1ikc0JmecmA3HOXK42jB3+eddy5Kh/H5WtVWC9tZ+XLlcU4ctbPc7ZuR/XMqKj/TBqUqp9hdHbejpUsjp+C15/EnH04c8pjv3HPPNfS9P5ycjMIunPF6vI5EzZo1Ifn52F/w93nVqoXV3omAGA1QabWbb77Z/fqCCy5AvXr10K5dO2zatAlXXXWV3/yPPvqoV2/xwrtDx44dQ35+fvQrHEc0TUO15FLuv3Pz8nDo0KGA8wd7L57l5uYmbN3JRdM01KxZE4cPH4YwLQ3FqURspzw2lkx2tVWVluZ+zbYXnzw/lxMnjkOz8XOKpJ1Gs305c4oGWvVcj2f7zsjIRObBg3B2bQOcOY1S/b/yCngXznMqgnpGYxsT6TualZ3tfn348CFo5QMHu9XJE37TAm3fqUMHcdrEtkfzeHpiy0Y4atQNe/mcnJy4/xzJn5zO0p1+/P323n8fOwatvP+4Z4FEq62ePp2NnDhqZ/kd/gMAyD56GKXadLS5NkWcubnu157fSzl2zGu+EydOwGFgf+Z7ZCsoTt9zz3aqPLbx+PHj0MpVgvrlR6BCRThuuN3GWlI8SEpKMtxpOarB7sqVK8PhcHj1ygZcvbd9e3sXSklJQUZGhte0jIyMgPMDQI0aNVCpUiUcPnxYN9idnJyM5ORk3WUTJTgRTcH2QSLvn0SuOxUREX6WFPcSqZ0mSj0pOmLdVj3XxbYXn7w/I8TFuCciAuXMh3w5GKh3ERz3PGJoGUvWffYMcPYMtJRziqYFWo/nS1FAfj5w7LDr7+NHgBrn+9UxknpG4zvktTlx8NkH5Xs8CVZfnbcCbp+osLY9GsdTNXEktNuah728aAnwOZIfo59ZyHYfZDmr20U8tjM5uDcq9VIrFwKZ6XDc86i5+ni+DnY+FMbnE4/7P1K+7VSUghw9BDVxBABAu/42u6pGCSiqA1QmJSWhQYMG2Lhxo3uaUgobN27ExRdfrLvMxRdfjA0bNnhN+/PPP9GoUaOA6zlx4gSysrJQtWpVaypezBXHA6M/5nYiIiIiSlgb1kB+XwyZOiamq1VvPAvV8b+QdP+ewWQzz9ytoS5nEvVSwOm0uwZEoZWIeEIR+XIQZOpYyOH9oWcmawV46oEolKgGuwGgRYsWWLBgARYtWoT9+/dj9OjRyMnJwR133AEAGDZsGCZOnOie//7778f69euRmpqKAwcOYMqUKdi5cyeaN3fd4T579iy+/vprbNu2DUePHsWGDRvwySefoGbNmrj66qujvTlERERkITm8H+rLgZBDvIAgoiJy9ow9K84veIR651aTCyZqdDU2RDmhJo+CrFkefiFmdrGpWBw/O7KZ0fZawoLM5kX5u5xtUeCVgy4GwTZO1oh6zu6mTZsiMzMTU6ZMQXp6OurXr4+uXbu605IcP37ca4TVSy65BO3bt8fkyZMxadIk1KpVCx07dsQFF1wAAHA4HNi7dy8WL16M7OxsnHPOOfi///s/PPnkkwFTlRAREVF8Uv3fBTJOQjavR6n+X9ldHSKiArzgtpKsXAxZkApZkIpSo2ZaUaIFZUSjrNiT3dvtrgLFSrw0VQbdbVLC9rumlbhNJuvEZIDK5s2bu3tm++rRo4fftJtuugk33XST7vylS5dGt27drKxeyRajHyrZuwuoeh60SpVjsj4iIkoQGScL/k8LPh8lJsVH8qk4M3keHYe9+WIWS+Ax3pgw2ojs+MuzAOvqQnGIkT9bMchPlDCinsaEEoPk5ECilCNO9myH+rAD1NvPRaV8XTzPIyIispWa9AXky0F2V4NKCGf/blC/LbauQLNBjX27rVs3BeCZs9vKoBMvHCgxyMG9cHZ/Fer3JXbXxOb128Wi7Y7DG59ExQ2D3SWdCOTsGai2/4Lq/mp0VvHXOtcLpaJSPhEREcUf+WWW3VWgkmTrBsjoAZDcHFdu6C1/xmClRQELWTLX+y32AEwgcfRZRRoEYxCtWJNxQ4HDByCj+ttdlZIpjg4VxRb3MVmEwe4SyecIsnub6/9jh6O0Oh6xiIiKO8k5CzVmEGTdb3ZXhYhKMJk/DbIgFWrAu7FfuYWBRikcKLPYsOJ6QHRfuiedzoKcOGbBemykFCQ/3+5aEAUXr5f30b7XY3tco4TdzCphm0vWYrCbiIiIIibzfoCsWAg1vJfdVSGikuzooSgUavCKO1QgxGgxu7dDvfo41PcctNeb5w7039fq9aeh3nkRknYidlWKApk4wu4qEAUl+3bZXQWb2B3sJiKjGOymOLhDSURERsj+3ZCoBHIskH7S7hoQUaSKQS8qWfe7NeVEenqs08tbvv4MauLIkIuq78e55p/7fYSVKKEKn1pNULJ0fvgLM41JXJGTx6I2LpatSuoYBWZ/FxhnsQCPaRQeBrtLIr+DLg/CRETxTk5lQvV8Harby3ZXhYgofp3Jtqig6Jwfy8Ifo1JuiWNlEImXQhQFsnUDVOcXoQa+CzmdDck5a3eVKGI8WERf0T6WHZttrAclOga7KfrH7Cjf0ZSDe/0nslcDERU3J4/aXQMiKobk7x0ef9hXD7IJz5khi2bbXQUqhmRxwaC12zZBvf4UVNt/B5s7JnWiCJmNawQ8vvK4a4RMYEonCh+D3SWRX8fuqEe7o1q6+qJfVMsnIgqHWr4AasVCu6tBRBSU+uhNu6tQPPHx9Sgzv38lgVMvyIG9UDMnQs6etrsqZJAcP2J3FUqeaN+8i9JxXQ78HZVyiwf+llJ4GOwu6UQS/2T8tFWPq1KiUAtSIeutycmZSCTRv6sliJzOhowdAhkzqOQ8tsr2SUTFldEASoL3kpbN6yGZ6XZXI2rUB6/bXYWwqR5tIamTIaEGLU3wNlhcyN87Ez53PMWOfDva7ioQFTsMdpdIDEhQ4pLd2yGTR0EN+8juqsSU+m0x1FvPMXdZosjNKXqdn29fPYiIzGCcrEgJvIGnBnaH6trG7moEIbovSxLZvR2ydxfUglkQVQwHPiwm5I/ldleBLOL1PbPqd8HAb60c2l8ynw4ogb+9FB0MdpdEsR6g0pbjFa/Wiq2ME3bXwBYyegBwKgNqeMkK8lMCYW8yorglJ45CLZ0Pyc+zuyoU70rK00gJTH3YATL5C8ivC+yuClGxJzMnef4Vm3Vmn4J67zWoLq1jsj7yJ+knoX6ZBTnD1FGJKsnuClAc4N0zSiglPKDmVHbXgAyJxnG1hLd9IgqbevcV11Mm6SehPdjS7uokBs/zY6PnyjynDszqfcN9DRTmIOfpAVHUyNzvPf6I0UpPBBiUPg47lqifZkCrVgNa4xujtAZ7tln16wocPQjs3Aqt9Vu21IEiw57dJZHXyaGU2McAKUHF4Y88UVAlpcnmFfUYlewsGytCRH4K0inJ5nX21iNMcvK43VUwj+cr1iuB1ywiAvXlwKIJf+/QmcnjNdsdwZV/39m/G+TwAburEmOJMkBl8fieyu5tkClfQg3vbXdVrHf0IABANqyyuSIULga7S6KYpzEJr3zJz4caPwzq9yXmF+aJXjFWwj/bEr75CamkXJx7pkc4y0f+1KqlkJ1b7K4GUbGghn1obwXCOa9MmJ7H/tvmOyC2bFwD9UU/SPapCFZTtB5rBm4OtX/je//L7m2QPw0EUXZshqxcFPX6kL1kwxpLy1MDuwNbN8A5oo+l5dpNThxzHYt2b4/hSqNxLInv45NhGSftrgFRQAx2l3QigEQ7LUKYwe7lCyBL50NG9Q9j4WLyA0L+Snqwl02bEkEJPwbL3p2QL/pB9elkd1WIvCXqV7MwXQPFhBr6gfffQ3pCVi2F/DDekvJlQaoFhURehJ1U77ehPv0QcvRQ8BnzcoK/76eknyjHN98bSQAgB/dCPHvvWykjPTrl2kSN6gdZtRSqdwzTSkjAP6xdjXJC8jiuRqIf2yl+MNhN8XtAOZVhdw0oHrHXPiUaq5psvDd9fjeLhApeENkmXk/64o9M/sLuKkSFHNoP2RiiF2mA9yUtgkHCPYN8p7PDL8ew6P4mibKos9DJY0HfVt9+aa48/hTHlJw9Def7baEiuRFU4lKNRMCWfRXG+A0h+X9R1QcdoDo8DckNcoOrhHcmITKDwe4SyOuOcoIHJyT9BJCmk8cxzO2S9avg/PxjSFZmhDWj4kCOHoJa9hPE6bS7KkRERBRLWRGk7Igzkn0KaslcSHYW1HuvuXpqh5MGIJ6uGywO+sjm9VCLZhubN+sUDv33ATgnjjS3jsIUjauWekwMsR0H95paB0LckJD8fKiRn0AtNLatiUZEoJbMg+zeFpv1LZkHHNwLmfNd+IXE0/eK/MUqwHzgbyA3B/h7Z2zWR1TMJdldAbKZSPQP4OEWb6BequvLYRYeoLyCnJBSoRK059oaX27BLKBSZTiuv83S+pCe2J0Qqm4F7evsGWh3PxSz9VJiExHIjIkeE+yrCxFRsaCF1z9HlILm8F5W8vOBg38DdRtACxFkkpPHoZ1zXljrjidq5CfA5vWQNcvd02TfLmgXNjJXkM/+kh2boaZ9DceTL0G7oIEVVbWQuR9fNbC7a6na9aE1ujx4yYtmQ504BvwyC3iqjfEaLf8ZsnQ+sHS+qbqF5Pmx7N/jvc5D+4Fzqrk6B1WvCfl9CWT1MmD1MqDZ/dbWIx5s/APy9XAIgFKjZkZ/fU4Levgz1h02yc6C6telaMLxw1FeYQxO6tl7m8gS7NldEsV6gMpoyssN+JYcOQgJ8zFJyUgzPu/hA5DJX4SXW5zMs+GEULZvMje/CJxDekKNGxqlGlFc27oBsuwnu2tBVCxIbg7UrG8he3fZXRVKQOqt5yCZ3ud0MmYQ1IdvGOqJKT9NDzVH+JULxuqenpvXu/7/a52l61B9OwPbNroDxdEmc7/3/Cs66zhxNCrlAjCVPzncaxivMrZucPXkb/svqO6vunKxn4lFChn7yCGTPeFjTTeQyWh3uOTnma4e0YVOZ0P2RrFntGVZTIJ85iU+2B1n23/mtN01oDAx2F3SCeLueGJU0JPAQ/ug3n0FquPz0a9IJCPTUxgS4ITwwN/AxjWQX382vIicyoT65rOYPXZJ0SO+4w0kQJO1XIk/USeryOypkBkToD7sYHdVioeQ381idsDKyoQsmOU1SQpSSMi8H0Iv7ygVwcqL4XEwUIAmgnNhWfMrlBUDVvoJsy0buQkQi9+4nLOhq7Hwx4IXXlOLXv2+xHuBTWu96i6ZaRAj63E6rctRHnXF7BhGweX7D+go636L4gpjcVz3XofeoKZEFBqD3SWS9wFTjf80puuzTGaQ3teZ6a7/cwP3/KYElQh57cI4KZFJIyGL50L1fjvUnOHViSgBMD8++WKPbrJVKf9LJe/jlO85iU+QYv8eqBkTrK+XlWw+rVIj+kImj4Ic0O+RK2cD9KoLcjokfywPPkPEYnAupgGyf7f15Xqco6q3nod689ngszudUN1ehvrojYQPukl2FtTUsdHZrxFQKxZGtLzk50Mtmg0piQNd6rXJqH71bU5jkgjXwURxgsHuksjzAOrMj9GI6MWYM9/uGpQsifAb73EiYvTCQA7ti1ZtKADZuQVqwueQ7KzwyzhxFGkj+0OORTlHYHHm+X2J96AQERUjBk4oSvkPb6ReedRw+apne8isb81VC4jjp2OieBKWrT84vPqgg+mi5LfFEVYm1ArCXc5kHvGer4e5oiB8H8kP1THo6EHgxFFgX3wFiMMh346CzJ9m7X4N+JUw8V35Y3noeYKQBamQCSOgur8aUTkJwciDF2tXQHxy11vHomNzsO3wPU7E7e8BUXxjsJsSVxwc99XMSVD9utpdjZDUjIlw9u8G0XnUK/EkQLTb8waIJMpjnyWP6tMJsmgO5PtxYZfhHNwDWTMnwzng3aKJMTgpla0bo74O08LubeIR7P7lR2vqQpSgZOcWiGf+UctXEOr4FAcnV3FEQgwkmDipHXSEc8yO6ilYgMID3kyOUkqeuOk5aaIeJmaV1Enmq5JIgnx+sX1SKFD7tP4YKzs2h7Wc+mkGZM2vFtcmyozsvgN/Q/Vsb9/6veYP4/OOYXBbzZ4K53v/g2Tp32y0RYIF9+XQfjh7vw35c5XdVSEfDHaXRBYeP9SSeXB+9GbwAR0T7IBlRqKcMMqsya5B81Yn2AlNjMiaX6FmTLTk8Uz5ewfUR28WTVDFt/0XF3Ikgsc+C3vkHz9iTWUMkn3FKLVDvMQVKD7FTeAp+iQzDapPJ6ge7eyuChXKKMhprNMOZf3vkC8+iXgVsnML5OTxiMuxmpw4BrVwNiQnp2hiJN/HmF8PhLm+eDnmxEs9PIlAjh70Sy0jh/ZD8pg6MpHI3p2QKV9Cjehrd1UiFOPjionjmIgA28LonOK3juhto0z7Gji0DzJ/WtTWUdypL/oBu7dBffqh3VUhHwx2l0QWnmzK18OBv3dApn8TZCbLVkeRYsoVXWpEX9cNgc3rIy/L97tQjG/2FB/6F5Rq/nTXnXqzo3DH5AK1GLUrz/2VcwbOEX0gZ8/YVx8iu5wwHvD0CkCaUdIGqLRCgLEE1LCPIi5a9u5y3eDo3CriskwL8VulPmgPmTgCMm2850K21cdP1M6vQtcj/M4R1tfZOewj4Mghy8vVtX8PVLdXoDq/5J4kf66Ceu81qL7vxKYO8SZRT8cyM0LPU4yp5b9AjR8GUWbHijHxgQe9ARTkOCMS/P1oiOcxc06Hn27Sk+zZDjX3e+vHB4pggGaKLga7yRq5YV50BWXj2UM89qYglyh+NhJs0NOwC03gR5xLigBtSqaOAXZvg/w801x5fhfBVrVZj3IS9eJKl8/+WbMcMu8He6pC8adE/R4bHONh9TKotv+Cs6QGlxJG6M9Tdm2JQT3CVDCmj/y1rmiaZT9nOgWZLTtKwe5AhxwR8XjUP45+hNf/Dlk0O8Cb1h4/ZcNq1wuP4JNa9pPrxd87LF1X2Axusho3NLr1CFQRSfD0R/EmzK+ijB0MWTofsmqZtfXxpAULtQWruG/ObisqE0r8nmvJ8gWWlKN6vQX5/ivIkrmWlEfxj8HuEikaR0wbDpBm8tPt3ALn530gMU41QOEREXseh1Tieoz8y4GQbZvCLMSnYbJnd+LLi/RmXglsA2bavd6x/JS5Hkdq+QI4+3QKnlKLqJhQIwtSZ+z4y96KJLoSdSMlAh7Hcy2S833PwYhXLtSbIfyyo0wtmQfV6QWoN56FbFgT/rmdmcXC3R3RPOXQ2+6/In8q0lrGdpz8+nPEa5KDeyE/fGVuoV1bodq3dKUIysuFmDzfoSJy4hhkS+D2J3+tDX1j4VQG1JQvIasNBr1jcUpvx2VD/B5+re91HsVxUSTnbNTKJvMY7C6JohF8cwQdUtj69ZksVvXpBPyxHOrzPpDcHMie7cEPRgxQ2krGDILz1ceRf2i//5tRvTgVqAkjICsXQfXrYlGRRntvxPNZRjGXiAGPKB6jJO2E6wJBBLJxDdTXn0Gi8vROocj3v4wdAuzc4vO4vY0SsU2R/WJx7iESnwPcJhg1bkhky6/QC/bGmubzfyAe7dKqY1v6SZ3qmE1jolz5zk12jhC9c8tg8+/f40rbWFBnNXOiqeWNULqBV3ui3ZKVCdm8HrJhNWTdytBl58Rv2jE1ZnB0y+8RZBDEs/op8NSXA4Gcs5CJI6A6vwj15n+iVLviT73zIhBk0FE16P2QvXjlj+WQn2YU3UQOxbIndoOlMfFZR0ziEvF03hp/cRjJTA/8ZlpRCjr1+tPRrwwZxmA3WSSeDpBB7N0J9b9/QfV6C6pPZ7trE3sJEsSXlYsAAKdSv/V/M5pBJAFwVCfv4YY14Zdp9QCVCfIZJpSEDExGrx2oTi9ADXof2PQH1JCekCVzoztwje7j7GF+JmfZo4IoFNW/q91VSDw+4wjIrwEeqzZ4aJYxg0LMEEe/9Z5VsXiAykgGBpe5P7jynX/ex9Ry6qvg6SvU1DGQjR7nfXqBeYuJlSk1Imw76r3/QQ3sDjX0A6jhvYGsBMtH6/kEwYpf/AbTtFSwwGeg4NiJo0WvY9Gr+1SAeoQgSkW5o0OYTOZHltW/Bp/B8/OIpWDBU1t6dsfxtVA8/B4azRtu8fhosnUD1LihEIvylpc0DHaXQJGcWAYUtGO3vQco2RkgH+L+3YEXiucDPrlFpS3rMdNryLftGKijWjo/eHuk6Ir6992i8mN8XJItG4pez7C+J5ublZvl4GlNscPf49iK1/1td7V2bQ1jIWtSfkTNvsA9Ir1E81zLM1hocptl6XzXi8I80kaFGgD55HGoIT2L/vZ9ejXI/pAzp6FWLgoysLXOsvEQyPHkG4A9kx1xkZKRFv6gupHy7HRyaF/s1huvx9JCoQao/eQdqP/9CxLG4HuSfhLqt8WQfGsDf2rqWEvLAwCcND4wNGDd11WN6h9sLYh5xDvOm2shS6794+yQG4zq3w3y68+QH+LkydUEw6vCki5Kj+KoWd+6AnhxQPXpZHcVyFKeg/RZ/Wsl1pdpoEeFjB9m7TrJpCif4Zke6d2AuD9Ri0ViUh3xEuyOt+AFkVHx2nYjGtAtwDEmQS7uo0UWpNpdhYA/FeJ0Qq1aCkk7Yf068/JMLqDTUAJ8T9So/pAvB7pSVegxNZ6FBQ3UijbuWQ/fcfMMbI+kn4B6+3mojs9bUJlweNQxlgNDxiDYXdTz2sDnIOIdfPb47NSSuZBTmd4LFHQWkzCeblU920NGD4DM/d70soGISHSfMjTMot/Iw0HSKfnFZ0paGhNvYlm8KnHJMY47F444uSok25g4doqIKzee3mMUno+MHdoHmTGBATyKDq/fYot//KNwEqyG97K8TLJY0DEHIie/LYlq+QnPygvCeAl2k4Xi9wIsIcVrMNtGcjrbQA/EkrzfopCz2120ftnyyyzIF/2gOr1g7foAIN/kAOh62xzoe1TYy3z97+bWob9iC8qIHsk+BdWldej5thcMpKvT211OR95r3F+8DBQfg2D3ioVQowYA634LOa+z9UNQrz6mm3tYvv4M6s1ngzyRYFKWK3Auf66ypjzAwg56iOwmWgTXinLimMEZgZh//8M+tkehnr5f2SM6KUZLmvj+OYhbvCosiUz86Hvdsf9jhSs3Xk+dwTg8D5B+Jy7mTjIk5yzkj+VBHzOU40cgS+eZKpcQF4/USWYa1I9TIOkGTjR022rgHiaWsHofHT4Ayc+DmjjS2pM+C8iGNXD27wY57rpbLOtXQTYHHtW8+Iry9yI7M/Q8phU1fjl2GM4uraEWzo681EguPMO+oNTb/2F+JhpPayiBWRSUkfw816Bbvj31yI+cyoR6/Smod1+JRulRKNMGXu0yisFuj7LFbGoSM0z37PYRyfc0JoPQRrNsj3OPhT8ay3ccqBf8zImu796qpVbVTp/VY+cYFYtLrrxcyO+LQ86Wf/iA+7Us+yngfGrsYCtqFR0Wfo5RuYlmZL3vtzU2o98AldbXxZ+rwarFc6Fm6YyZFVAMKmcw1aeaNw1qwufRSXN65jRk3W+u86uDe+Hs/XZsr+s3rYWaMCJ26ysmeFVIQcmPRQc7WVMwwINebqtgAUKTxxv56lOoz/tA5vk/qqSW/wLnOy9BdWkN+WmGuYIpLqjPPoZM/wZqyAfhFeD1OGUEAxttXAM193vvH8QoXYTI4rmQhT9CffphVMoPlxraE9i6AWrsEMipDKhhH0IN7A7RSbshIlA/z4Ts2GxDTaMsAXJ2+30mHif9avIo4PgRyEQLToI889JaPMhKQMzZTcHYf4824ciPU6E+7wP1SfEaiFvWrbS+0G0FYxOEDNrFuCHGaw98y3eDZ89uq8sOIN9ksNvvHMFkJ56De6GWzocoJ2T2VBPrNbUajxWGnwddv7wA58kRPg0pqZNd/0c5gGNHAFe2/wX5LXQQOlYkx2Pw7sI2odc21kbhGGuVcI+JcdDRyy3H1ZFPLfwx+Hy2DFBZsOpvPnM9oe9xg0SPiECyvZ/2V2MGwdmnk+51ZCzId2Mhi+YAe7abW271Mji7toH8vTPgPGpoT6jhvSDTvoEa0RfYvQ3q0w+hYphaRxZF3qmppEmyuwJkAzM9u2dMBFq01ClCvEc3tvCHRILc4Zd4vuOcCOLh4qlwwFAjd2n16mtRGpPCwYe0ug28y4vGPjpp8LE1I6LxEWame49urgRy5hSQfhJa7XquaWtXQr4dDQFQatTMKFTCRtE+EY4wTYrk5EB1ezlwINfiAYDc6/05Rp+z3v4Pd5fFS7A7ni6uyHaSlwctOTk26zp5HLK64DxK72I1hucBsnMLULY8tNoXWFKeGt7b4t8fDYYONrl2DKwXB+drhQKkGrGE5yDysTpu5udD8vMARylj85tJY6LD3ZtTLw1klEhuDuS3xZCjh60td7XHNZpVTdTqj923vBBPCUhODnA6C1rVcy2rgvrkHcvKCs7YhxBZT9c4eZIhlvnWLaO//TJxpMnlApSTmwOcyoB2bnXzVfPle5zLCT6Qr4wdAlnxC7S7HyqatmKh68WOzcDFVxpetZo9FbJkHpyDvjK8jF99PK+FPG/uGFn/yE9c/3/+MUr1Ga0/U5brOllW/OK93iCDpooINLMDLx8+AGSmQTOx/yiwOLkqpJiy4IdHfl8C+eITCypTvETlsRnyYW0aE/EMRFvx8en9qNn1CKUPNeFzOD94HeL7CK9Ou1VvPQ/Vox1k7y7XLMEGUkl0oU5EIv74IryS27wWyDgJpJkbMd5OpnqvFccBKsk6CX7jQHb8BfXa41DTvja3XBjnE+q3xVCdW+kHuY2yaH9LRpor9V0Pg49t28XA9qqO/zXfGziRhPwNjF4aE+/UaeGXreaYGAgvLxfqzeegPu5ocAGdHNCe6TwMPmKP3eZ6G0byXZRvR7vGTvprbdhl6NbjeHwNkiY5Z+Ec9D7U4rlhl6E6vQDV6QV3Sr+I6pOZDrV0fsTlRFUsr1WtXFe4Obu3/On1p/o9AcfRCZQKqPtrUO+8BOeb/4H66tMIV2IyKFsQ9NXtGGP2qf5pXwMnjiJjQsFNAJPtRi37CerVx8ytVI+R33mDdVMjP4H66A2I01wvd9X9Vah+XSGHivF1dwzxqrCkM3Mw8Zx3+ybv9wpOhCTthP/BNsg65PB+0wcBK0nOWTg/7uifm2r97zF9LMVOau73UHO+s7sa+kK2T4tP2ERCXlxIZjrUglkQz57QoQuOrF4WkUVzgH27gfU+A9koJ2TZz97TClJYJEIOb8lIg/pyoKsXYTiiOeBWmOVL+knIupWQgD1Z4qNNBSK/LjA+s5W7nzm7Y0bWrYRa/kvoGUs4NWUMALM3gMIjMycamSvq9QBgLJdvPIjbmylxWi8LqyVrV/qk3IigrB90egQGO4c8k238UfdQWUyy9ce68P39lhj+bsu2jRYW5pnGxOPlrMnGljc6KF8YZEEq8NdayDefFU00+50u6HFvxfmu6t/NdZMhzuj2Lk20DloW3XCUSV8YnzfAk5OGxp2KmEe6wndegqSf9J+lsMPWqYygudgN8Wsisf8NCjcmJDqBftmwBvLXOtdrw+M0GNhmg98bWb0M2LvL++mlYPPv3AJnr7eKJhzcqzufmvQF5O8dhsokBrtLqMBfUsN3O/2KKBjUYHR/4NA+Q0Wo5b+47kh+1ttV5JnTRSN2x4gsnQ/s2gqZMcH/vSCPpQQuMLFOHOTMacj3X0F+GO+XdytuWZSzW1/oNCbq0w8hk7+AGj3QRLHx1S78egw6nZB5P+jPHKfX257U18MhKxdB9ekEwHVDIuzAtx4b9oF69xWo4b0hv/6sX4E4aFOSk+O6WZhq8II3IP/tk1XLoBakmi+KPbtjRg3vDRk7GKI3jofRMuZPg3PoB66UAgElwEEoXsTBcSHa5PB+10WkFbIyIQf+tqYsN6s+g3j9LK37PqrPesfNk2/BhYh2F+a69TmOydghReMdWbLe6LH0nMmz3Nwc/RsRXiLYzjOnw182GgxeA1vG4NfHzJNCcmgf5GzwFBaREuWEGjfEVC949UmXKNZIZ31TvoR67XGIT9BRRg+A6viC62ZdtIhAffhG0d+nMiA/Tone+gDEw7mWnD2D/J6vQ74Pcsww0JZl5xZXju1B70H9OMX1OW78I3QFjOyCKJ1nqT6dDN2AlV9mQX30ZlTqUBzxqrAkCvIdlVH99aeLQLx+wH0KKcxJu9/4RYN7gMmCkWzVxx1jmOOsgIE7fcU6NYnnAHTOeHxEN8S+j0KsO6TCH6KNa/Tfj9teYkH49h722obCq7g4/h74POql3v4vVJ9Oxns2hfmZyWn93lxmypPMNIjeo80F+eZkw+rQ+UJtanLy60+um4WGepMGobd9WZmQyaPMP8bHYHfsRZCHVqaOBTashqxcZF19IiROJ+TA3/b/9kdr/aHKtWq9UfotVN1fc+fXtIJeZ4d4Jts2wvn5x9YG6UOlB4hmzm7P3osfvhHixpfJkgP9RpsVcpsL3s9I817/yoWugczcE8yuOHbHINWnU+CAdySfeVZm6HkiKV/neCWbwkzdkoipivaE18NTrVgI9Z1+py713v+g3v9fJLXyIru3Q82cCMnLdZX/4xSooR9Afl1grhe8BTcSZPUyY20SBXEKEfdAqr5UFJ/WEp3zKlk021APZRGBGtUf6stB5lYa6slmpxOydYP3YKcWO7PsZ2DfLsiS8NMSAYBM/8bvtRrSw3OOAEsainaHWy2yAa8KSzyDj2LM/R4IemJdeHDQKy/QOnymx/puOBDymKa+/wqqUytIZnpMqpMI5MRRqF9muQZ0sYPXj7HVaUyUtYNJJgrfUbN1LmyD9SiQw/uhZk6y7sLSLN8L9YK/Cx9fCymcNCM7NkO9/lSAN4O3S89Hm9Vbz0P1fgsS9G5+DHt2m9kXBRcubmZ6DolA0goeAw22SoMXJW5MYxJ74d4s8gxIePyeiAhk786ix4djfDNHfdHPNV7BL7Niu2Igvm8qlhCyd6fdVQhK9esK/LHC3ctRDuyNsPcwoD7vE2IO8zdX5a+1UGMGhz4v8G3zRn+3jdTBgkHt1azJEL2nXvVuAISdei9APt4e7ULWz0qybZP+G54dY8yedx856L2OcNMUbF4fIIitU5/1v4e3jpCDBsYf2bAqvOXGDAp+XR/BE1teN6xEXOe4qZMh86e7biRP/wYweUMi0pvPcua0K4eyhTdKoyo9TXeyLPwx9LIZaa6x1VYuhJw18eRDqKEbfpwC1b8b1PBexsuMAlm1FGpBakRtQpbMC3ljNWAaSbOrTcROcMUIrwpLIq/cawYeBVFOyLRvvKctmec9U1ix7vi/qJO53wPpJyDzpxtdIprViS5xfdbO/t2CDnKherSDTPoCMt3cYFuWMZHGRPZsh3Pw+8YHDxIAubkhZzPN5Ajicua0Kwf1ml/h7NPJP6e81YLdzCnc3b6BTQ/qvbaQ1EmQyaMsrZZhgfav0RMMnflCDVxqqkeHR/lyOguq43+hxg3xLm94b8ixw/7LCvRj3RH0RhSfwXq83wxzHAezdZgxwTUo1PzpCHqGbWAdqvApIdcCRa/ST0a1B0pJZkWvZzX4ff2y509z9fAcPSDidYTlj+WuegQ4nsWux3e0enaHeL84XpiZeHJNRf1RcYNCtbOCnn+qR1uoEX2N39wNqy7mF1GD3oes+CVkXueA59dxcI0gu7ZCZkyELJrt84YgnBsAAdejl4sXAAJNN8TCdDPDe4ddrvLMpQ2E1WNT8vKgBnaHGvw+JEjaEsnPi//BIa0WxvdEvM6ZrCe/Lfb8q+jlgb8Bg+MdyYY1cHZ8AfLXOkhmGtQ7L0VUJ9W+pXXpr2IhJ0AaGSO5wr1uTpn5vobo2V343TWS296Z7+7JbzUZPcB1fhbmTS13Oct1xhbyvF4bN1R/wTPZQG74Hf5k20Y4u70CsWLwYAqJwe4SyeQP4+EDBo6VYZxUWZ4nMQxGL+ri4KQ7JnZtBbZuCD7IRUEeN/sGLjTes1v1egvYtBZq4HvGi3fqD0YSGe96Sk5OkIEHAZk12ZWDekRfYOeWmD9m7TWitZGesoU9qXdtjVKNQq0/su+nppczOlSvk2DrDHJckeW/AJnp/gM4pp8IkIPN+mOPGvCu+yRLRGxJ11D4pIBMHRP60cn8fMju7RDfJxAASFYmZMqX/tPTTrhuKrz1nDUVJm/RGC+h8NXc713/F/RW1ft+2kWtWgrV4ZngN4zsZOhzidX3PX4+N5k3ze4qRJ3s2xXFwj3bjMnP1Se1R0IJ8mSRbPQ8R4gs3ZuMHRJ6pljIOAn1688hZjLQScrpLBoHyDftQqDe48F4Bs2C5JKWud/H5eCQURVObm2zT8yZFaiTgabpdx7ROYdTQ3u6zosHvQeZ833MnrqVzeuND2YY7vddr2OL7zyBbgIaiVt4Xl+aSe3nW3YEP+Fq0HtQ7Vq696Uc3Atnv66uNCi5Oa4nxA3sh2Ck4KmRYNfTQendOEs77hpHZu9OyIogA7BH0JFG9esKHD0INUi/wwdZi8FuCs3I4B/uA6Txx/fjg8UXYwkQE5dD++Ec0sM/N58GIMCo07YJsT8NDxJ5KsPYfFacAIYIDsupDKi2/wqan17+DvYYdawbWfwELAKKNPBmdU9Gn/rIzi1QEz4P/Ti3Xu5jI9sWThqWLX+68vr17ezK1Vm4HjNlWdUUg34/BTJxhOsxWL0Ba/wuSgrS7hTma2fP7iiJIPhlVQ2OHgzayy8q6/yiH3A6C2pIz5iutyQS5TTWg6y4iqse9hHk7FYK6stBEKO98ApXFVfb7+PA38CBPeaX+2OF5VUJLIwevwtSA/dmNEEN7wXV4Wk4X30cSDOQDiPkZx1ssCmPl2E83RBpwK1E2GvyRprnx5XteV6rQe+zDNnTPIYdMtTA7lCvPW5s5r93QK1YaH4dXduYXsaUeOmg58wHjh4CAKjPPga2bYTq3w0ycxJk0hdQ3V+LcAWu7ZQwPgNXpQSybqX/09MbVnsPDmoTOWxyzCLSxWB3CRRWwDnUiUjQfHUePbZ+X6zzvjGGU1FEQ0SPEtpDsrOgxg2FbPUepE99+gGw8Q/XqL++4u5mhA7Pphjg4klyzhblezUh1OO2fvN7BMfVvGlQXw7Uj/t4BORk3W+uF4EGAgKArRtM1cM8ExeRacchRi/QzORszst13Tm34qTMMwe21yC74acxsXQAyD9XQRbNgUwbH94FfLQu+rMyXe1w11bgVLprmqnPIzYn1FLwWLJuT5dA9Y2Xk/0oEadTdwAjW1jSPIMUopdm6OBeqG6vQHV8wYqVxxHRfWl88eLT7mXRHEjIXqbGqdEDQuYvFZFitQ8t43Vvy9wXXlYvcw3UOOwjk+tMoM8hLgPzUaqTkZzbG1a7/g+SE1ctSLWoQh7tJMQ1jN75ZtQDj8VAqGC07N3pdT0Ez6c8Txwteq3B0PdarfJONyKWtRXjxGDOchkzyP7BrH2Fey2vaeZyfJvhkX7FfR0c6ZPUhfv972BjHgVZfMlcVwpJGwepliDX+zL9Gzi9BtWkcDDYXQId7WQy75WRk7jCefQOsJ4nRuGOkA1A9Xw97GUDMprFxGjwMdxHmnJyIIesvYMnP4yH/PozVP+u3m8EehRMEHfBbt0TiFApD86ehmr7b6huL0epVkXUG88Wrfe7sZCVi/QD1Vbu15yzcL7zEtTMScHrNmtykFzfJoLS836A+vxjExU0Rg1+35WXN1jKHKM8Bqj0GkjK6LVeWBeqYfSaOnwgjPUAwTZENqwGNv5hvkgrzs19v5+2nPDH2UVGEGrWZDiH99ZNx2K6rA9eh3r96aJBPmPN8t1urkB3mqFAeS0tJLu2eufwBwBHfAW3JO0E1PdfWfKot8RDijkA6jedQQEjIL8thoQaa8GKJwU8n+CJ5Hti9nialxfWGAXGno6IoGe3VzFGnlQKv3jbxeB4ZFx8/zZ6jYlgVZsK1okECKvXuuTlQc2eGvcD13qS/Xtit66dW6A+fMPrxnPQjm0BjgGyYQ2c/btB9u2GfBEHg0iaCMTK9CDBUqvPi43cbAqyTrV0PpyD3tM97su0r6HatQxSsEUH5yPhXgv5KNzMcPfx8SPW1CMUDZC/d/g/UQ9A9e8WfNlwru/IC4PdJZFnj1fDj8iHOsAVvO+TsF/9+rPXHVlZuShuLqTiifqwA9R7r1maB1sCHcSD/VDG291pHSFzpe4uuMPredEfLGeZwcfzJD8PapqBQTn1Bri0+ibCiaOQ1MDBbsnOcg2qNGNC6NQZVjJzwVKQt1EWmx+syE+8pTEJJArfLzX0A2vKGdEXavwwk2lMQqStOhV5WiA1ZrB3mQf2Glwy/o5lMmMisG5lRDd93Q669oNsWBV5WeGI5m+Fb9F6bTJWX9kDf0N93BGq84sxqYAs8RhczcQ+VsN7uXKdG1km1Pf26+HWpJyLx6BliKf01OtPRf57beKpMgmWb9fkV0xmTIBq+2+IyYGzxMgA2DE8N5RD+2K2rlDUxJGG55Udf0WnU064wr65Hl2yehnUojneEzPSoGZ9G/W0VLoD0oVa5ucZriBgHKQ1MEr1bO/XMzn/YHS+V+4bz0F68bsFOb9UQ3sCWzdAjehjUc1iR2b7D2osGWn+N8mtWNeC1NBjngUbE2r8MOCvdZD508IYQDKsx82Cv7tuZfgDyacV7F8Vf+f7XvLzoT5605UyMsap94jBbjLKYKzbl95ddFkby5x1oRi9GivIC7V7W+BR0z3mM63gLqesWmp6UXE6IWtXQn03DsozcFiqlM7MoZJgm7jIi8FNi+zZ37lfS14u1MSRkO/GmS/IobMvCstdNNtQEfLLrNC9wgD9E75Y95h3etRBtxdpdKMQ4nRCjIwYDgCZ6ZGv0OD+lb/Wwdm3s//FdMEJuPp1AWR9YfDQO52AJY/2iYLnvjeUj00kNkGj7X+50oVIeG1Vcs66BxR0T/tubOT18nwEFoDq0Tb4/JkFg6HF87mvlSPUh9jOcNI5mV5xFG8WOYf0hOjmdI9NJDXgoLtR2mavAZGcTlcvt4LfbcnJCXwT++8dVtck8iLiMrWDAUZzSxsRYheodk8COjmD5XQ2sOOv8NZZMGiXYUZ+g73mifL5QzjneNHi8/sTkKZBzZgY3bokCMkOnV5LJnzuP23GBNeA1aHE+rBiNl91nFCdW3n9nT56cETlBUzVcdxMznMt9HWo0TGWYsls6ialoN5+3nWTPMfczUdDgtxYcKXi8jiPD5Tpb9a3UK89ATlq7PdCTR4V9mDDIhJw/Bw1vDfU2MHhlbuw8Po9nk/44f15xUv6wRKEwe6SzsgB3OkM3VMlUS9qjNZbBLJnO1Tvt6E6/tc1KRoDJ4Uz0NyCmVCf9YbM+wHyzWdFwQ0zIzADBbnU4iuNCQDIPleudvk5FbLwx9AL6G13qVKQM6fh/PANqB/978AbEtFjgXH+Q2yVgps2ql8XqI4vBA4UeTIyeJEOUQpSMPCJ0XarBr0H7NgM9blvzxENcvQQZNwQqGEf+q/r5xlQ7VpChdEryLsCPgNXhkhF45pJEOjqTgp6x4dN56JDsk6Ftbx8P87/7YLPVkRil9PQyCOeMRbVbQ9StqxdCfXqY1AW5j2OCc9t2rgG0HuaJ1bnHAEfZY7++tWAblAfvO7OVa/efRmqS2sTTzcUlDN/Woib9NEXdzlNo8g9OK7R+Zf6p/KSX2Kfo9awSJq+we+tKhgINmFoWvwN8G4T1eHpsJctHJ/D1DIx/H0TI72X41WE6dNk4Y+QNb/C+an3ObLn4IBq9IDghWhAyOuheOz5avb3y3NfZ8Q41ZzJcSfk52C/NR6dcyLImy5ffRp8hjXLwy7btYKSc35B5jHYXdIZ6BGp+nY2UJDJu55W9myLgEz/xuCM4ncBo9sLO+LjrWs/Sl4unH3fCZmXGQBk7W9ef6sPCh6j1OvZHbQgxF3ObgBwftLF9cJw7wGdtphzFqpLa2DvTuOfuZWK2Q9xyEfOCvKSya8RBoeD1WHcEKhuL0MtmRuk3QY4Lvn2HNG8p/kNhltwEStjh0AO7IWaOgYIK0VHmO0gQIBA9esSXnmFdAJg8uXAsIqSTev0p4tADXrPNQJ7NL4HvkXG4XdNxg/zmWJloDRIbsbPervmCJGnVP222PxNQIt3s0weBfWbmQGsI9+HhnKnOwMcW2IRa9+9DQBc6UkA9/dV1q00VYxMHes9cG8cfkc8SfrJgjQq8V3PQGTMIHMLnNFJNZYXQVDN7Odrti0bCFjrP41hnKxammA9ajX9z5FMK+zg4jXN5zrHi8FUfVbk3FYdX0jcG3eRBrvnTYMa0Rf4M3DqNAnxGy47tyTqYT0Cse4MKKau5Q2PSRYukajfkJIdm6NafrTJX2vh/OhNu6tRbDHYTdYw0ctK9uwwPUiI0cdsTDOZ2zCkrAhz1BbsRlm5CNjxV9C8zG6+A2UVpGjQ9FJ3hPqcfE6GRATOz/tAjQpxtz6IiNM/mL2ACLSJ2SZ6rFrMigHp4on7hkpIAQaiseAxxcLeJDJrSsCLe1k63+CFifejleqrYQFPyFWPtq6eljppA9TYIZCCAJV+hUKnJHF2exnieZEfrQsrpaA+7BBhIQbqdiYb2Lwe2LbR3YvfyGPO4VdJvP+PA5YMwhpFMnoAZPo3kD1mRrT33L8evX+yMsM+5ou7V1iQ3uqFN9oivH5UC2dDvfYvyFbXTWwRgWxY459+KVDP7lg+zeb7+xHOTWmTvY0tD0gY/D7KxjVwvv08TvR5x+IKFErQpxAjIMoZ9HdQTI8hYGAfBspFHkfHZUtpsCYlG0G2+j/JI+OGeP+tFNTYIVDzpxkv1+DNVGevtyCHAqSYy8oE8nIh2zYFz7cfhyLuZGZF/umjhxLnGOD5xKjZNCZL5llcGZPMnCMcDPKkWKI8tR9H4zzoC74f1aD3o5CKjgox2E3WMPNo1/rfIb8v8ZokIR49l5WLwqiUhUQZGkhPdXoB8lcEg48V/rDoDXIYcJkAX2OzaUzg/aixKCeQcRL4Yznk98VhDaqgfp7pSv8Q4V1dcz0pDPQ6CmNbJJJeRgFOPJThYGycKUwfEopPe3Lnnv1hvOFVSX4+ZNfWkMcIXekn9POv+p7AOTTANwdxGJ+LLF8A1fvtwDMoFfrk8eghqJHWjEQve3dBLZytP9hcGBc+IgLxzD/omZZF7wbG3l3eA0IVzK7eeNb0uo2SuOk2FORztvICwsrNDTOFDTRATh6HbNsE9cazUO1aWlgpb6rtvy0pRyaOAJz5UIVPMvyxAmpoT6hO3nlOA/eGi2WwWwX/26wIfnMkMw3qh68gOnmm/XnuI2PrVHN/AACc+fUXFIvAtNlBJjesjuwcEvA6vkhODlSX1lCffRx4/hgGaWXGhKiWr5ZYMOB1OE5lxmeu4eJqy3rI8gWQqcbHBZGfZxqbcc92qNH9A76t+nV1peob2N3wuuOBymT7NEN9UvTkpBi95imcf9IXRX9Y3aku5MrhFaiXKV+GP+C0FdeniRIwjyqP/RiPaXqKuSS7K0DFgyxIhTq3etjLq//9K3j5qZPDLtsSWaf8AwGBUgvM/g6lLr8mzBUVdu028cMU6GJcr2d3qIsajx9E+X0JtEv+r+i9MPJ5y7ejXf+PGwp1+AAcjz9vugwAUP27QatxvrGZDfywqvZhBGMiGZAzUM/j8cOgVagUfrmF5Rw7DFn2M7S69YF/3OzzZsTFB16v0+nX26Owp6TXNOWE6tEeKFMWjq79ISaegJAJn0OW/QTtnw9D+/eLAeYK/JnLwb3A5Y0Bz8fcTmXA6RWUjtHJmNETR68nWcIfoNLdc7tcufDr4llem4cBAI7ug6Fd0ADeJ3A6T2Bkn4J8+6XnSgv+iyxYJzs2A/UbQUsKdgpjTcMXpaCFceMwKEubW3wE930Hw4o6iy+gZPO6ghc++zPQTbaY9uz2/r7IrBicDwU4Pqgv+gNbN0B+XYBSA/xvWqpFcyCLZsPxeg/jqzp+BLJqGbTbm4db22JDDf0AAKDd86ih+UUvnZbnZ7fpD+Dkcdc/q3g0/bCDKFEiX39mz3rDHUyU/Bn5SQtn0D8zbTXY02eFT0AFe4qvBAv5JGvAcTDijOdgjBH0ulUfd7SgMib45OyWJXOhXdkEuOZG82XZ+ER0caJGF6WHVBamUpV9u6HVvdCy8oor9uwmy8iUL0PPFEgc/Pipb8yeJEfhYtddpIkAxvYAJ9ml/L/eMu1rn/X5bINnEOr4Ue/3I4ypuPOOhmPbRuOpD+LxLrLnxadPoE8iGvjSRXV7GTJ7CtTIT/yemogmNbwXVNc23tMGv1f0R+F2Hz3sesxsz3bXd93M4CkFKSDkpxlQE0ear6SmQY0e4Bqc0pPnhYrD4R2k370NUQkiht1LIoyBazesLvpDJwdmJAFn9WGH8IIcFgVGVN/Orp65APw+J9Gf7EuUE+r3JZATgR/NVV9/BvXWc/oBJc+yNq+HGjMIEuTCQE0eFbxC4VI2BbttjLG7nvKw6DhfOEBuoCekArVZG4Pdfm8X3FQ2LJJHfgvzewa4cS4TPgcO/O0/YG2Q9qI+ehPyw1eQSb7Hd+sbWcRp1WLFYOoz9abeUzJi6oayaQXfFTXyE6iXH9GfJxGfWIuE1TdEKbAjB4vFQx/FlXw5OOj7qmDA5eJG0k9EPmi8FfX4Zrhfb/JwU0d6jfURdoVK2G+BHs9rg0ApksIQy8F5Exl/nYkKGElT4iXQyVagXrwi7pG8RQRq5SLI4QM+ZRZ8JS0JYIRxNujZs3vGBO/HbSLsjRkxo6lyYhzslqOHoELl5PUMVvh+tlacCHiWseVP714vUdodopyAZ0C1kF5PSM+88mYGTvHZN7LwR+80GoZowNrQA7r5DVx6IEgeu3CJgukPRCSsNu11QaHXxiJsd7J6mb0Bz6XzA73j+i/Eo6Oy9CfIqP6ugWt1qHk/QJbMBbIyXf8HoQZ2h6xYGDQ9j/dI9rEZoDK69HN2u98N8jtoqmi9t5f95PVEiaz5NXSZwcrLy4Usmq3/ZqCgYyx/ZkL89hp+PN/cSqF+XwI1fzpki38O3ZBL5+Ua30cFF4Ky2fx6TFu7EmrmxOivp9CJI2EuGH4DU+OGQr3xbOTpUAIp+D2S1ct035atG+1PPRhr8djJIkGFGoDX1Usyyvv7xNGgN8Lddfn+q+jWIwGFHPvD7PgRCUJ1fMGV3sZsLMFi8usCKK/zzQgECZKrRXOMlVEwsDYViNYYdBQQg90l3YmjdtcgcZkdsGLMINeAWCePQ8YNhXw5EKr7qwHKjDAQpRTkbwMjj/sGHnwCkapPp8Dzhira1GBnBgQYAVysGDQlAqrby5CvPg0+U7BghdU3ETTNewDJwswRFj+OFvBi1qsXe8Frz16TZtqRzijh8ucqU4MSGbom0uvVGUEv5KKB9nzL9Nl2I8eQsDuD+zyV4fcUR4RB0vSTMF25WNwwE3EFL909vwPM5k5boV8n+W6c+VUb/T0tDoERr5zdOtsTKNgdyRM+hWV885lXOWpE38jK+3FK4DfTTgR4I4afYTjjFUTqzBnIqP6QqWOgBrwL2bw+svICDIKlFswq+iNGN9RjmRZPDekZ3oKRNK+CJ3nUoPchuWcjKEifLEiFZKYFfF/172pscPXihD27rbNtEyTY0yfZp2LyG6reeTHkExJW/J4VOyU8mCemnxKPAr+xigrGSwrjSWL1zWc+aR8LSpzwubHlh/QwvU4zQqbNsUksxuMSq25qFHP8dSaKEVm5CIUDXXoN2qY7c2QHSdXxv8B+ndQFIRf0udg87ZE6xOSFqOrb2fz6w+HbAzceA0leKVii0LPbl84o8WpYL2vXYeAmg5zKcOUT9wyUZKT5nYjJ4f0QvZx4Oqlr5ItP/AclCvaRG2kPsWoyvt8hQ599mO3DKzgl8NvIiFOKiOtxYpOLWE0KBrRz27MD6rUnwqqLKKV/gpqbC8k3kGpLb5wEXVYOUFlwEZOdBTV1DKQg0GXoZqd/YdbVK0BZxganjW1vdfHM5+/7XqDHRMP8nZHT2ZDVyyCxHrTKLN/HoEM8ni0ikI1/BHxfffA6pKBHn+zfA+eIPpBD+yCTPQby4uPORSw6j5Efvg49UxjUl4P0p8/7QXd6sRcoDRKFJejTOnm5iNVJW6B2TpRQCjs9hZHCTBbPjev89OplY+NbUMnFX2eiMIhS4V+Y+eZs9hz4sPACx2Aak4B3DkMNROkuwOfvYAEws5trJDhkAVm7wntCPAa7PU8UfD+zCHqzycY1Ie8eqyE9XPNYPYDSaZ0BCX0dOQjVtQ3k6+FF9dG5CaK6v+bK2+rbbo30lko7HvQzN9RDV3f5KOXsNts8zT5REeg77LC4Z7cAsmqpuWXyciPuhetXDd/0E2n+A7HJYb0ceT4pckSg+naG+rgjJN27N6/MngLV5aXQlTHYu0+yQudPFOU02DOkINj97WjI/OlFT3UcOxR8qbw8qJmTILuNP4EjTifUlC8hG9Yg5PfDrlziAajlv7iDrbbW47PerrEVTOZwVzFPC+H7FEqI2df/ptODy3shWbMcQMFvwJrlUAO7+6zS59gVyaDQic6qwL/O8dASf63TnRzOEzHFgV8aNIpMRhpk/e8Bz2fktMExfCK1cU3AdD1EiUaLx+vj4oo37+MGg90ljNjxOGwxJN+ODnKtHyrhqPf7qkc7j78KfoiMBkADXHAYJX/6POoU7OAcok5q0Rwok48Hyxn/waJk4xpzZSyd791LLt5/zP1Sx4T/g6iG9PRPmeG7/X/v8OulZ8Uukp9mhJ7pyAH/acFuxPj2FjfcUzZCJtIwRMQ3B7mRYPHm9RBTOe/86y0/z/RLhSDHw80lG3g9IZf4dUHE+ZXDobq/Fjq3ZvYpYNdWYPc2qJH9/N838hkY7N0n44YGfz83B6rzS1BDDaRAKOyxs9e7J3eoQLn8NB2SOgmq91uh11G4zNJ5roFih/ZEiJTdAET3+A7A72aC1UQpr8fP5e8dkLGDofp1tW4lmgb5ax3k2OHQ83o+tVKQmsnswELy5UBT80fMr/0E/9GQTb75oTXIzi36ZRY+eeT7nfL9LdR5QqnE4HUylWCyaA7UsI8gv/6sn6Ygyr8hRMUSn0CJGb8nkKO1HiMdz0q4JLsrQDGWF+ePziYI+WUWUK+hsXkP7wfOq+kxIUjQ2J2y22DP7gN7DM0XUIZH3kWR4D27AwRl5e8dkFXLIAWPr8pt90KrUtXY+rMyoX5bDDid0O64D7JkXshcu7oKAnlq6hgLgnhR5rsbwxwl213c70t8pugFbn2eJhCJz8HslXJd2GgOVw+EUrE6MdMZYM/zu2GVMAPoMmOCiZkNzhdpL9dwtiU7eP7LaJK53wOPP+96LeL/vfO8sRJub0ir8rZu3ei6mDdyQR/ocwhyLBflhEwLI72BZ9oaCRHtXr8KakQf/apNHAlH0zvNr98gNbQnsGktHN0HAY5SoW/ChtOWM9OhBr0HACg1yn+ASNm5BbJ1A7Rb7rYgZZANfPdJsKdn/loL8RusSsL4LRf2hiogPxu4mUxUzMmCVPcAtl4S8ZhKZCNRzrh4uq2kiNlv+L5dwCVXxWZdCYrB7pKG1xHW0csxDACZRUEU9dtiV8/bK64pej/YSVrhBaXHBZ+IuAITtevBccPtkdTYj2fAQ/V+G9qlgQ+Y8sssaE/813vazi3eg1gCQQfTkq0+P7RnzxQNcpGVCZkV3sBR8sssSH4+ZP70sJaPKd/Ac6j87WYZyMghX/SD2vKnteu1Qm4OVJfWQKUUOJ77X8x6IcjCH/0nhhiYKLwV6eTONsLEQMKyciHkZJQeXfdczyrzj/ZG5QaCmfU7nZBJIyHrf/fvVeoZqDb4BJScPOaVRkWzbJAy4z/Usngu1L5d/r8rwYLdBekkTMvLNTxroEA3AGDtSqi1K8OrgxEFvYzllx/9elDLscPQqtX0nj8KF4Du38VAA0LF+7mY7+/UzImQG+/QnVUNel9n+TA28HR2VD4LIkpQB/7WzzvPm2JEpsic710d9ahYUSM/QamB0Rmbo7hgsJvIatmnIOtXAVdcUzRSrt8jvoG4u3a7p8jvSyBzvnP94RHslvW/Q+ZYOBJ42nHIioUB35Z5PwA+wW6/QDcA5OXCqTcdgOrv/Ri5O78sEHagG0i0fIlRPknX64GnE/iSJfOiW48wqAHvul6cPA714RtA6dIGl4xCP/VdW60vMy/XdJoes0KlyLDM3jAGQIww7VKkZOxgyG+L/aefPQPlmQ7I4IW06vyi94SCYLdkpiHU91wtXwBH07sCVNTEMeLoQchRnYFCgz1BdCrMGzm5nsFuj98oqwcvCiOQ4ezaBlrzx+C4rXlRMTqpQlTXNnB8bC5fdihyeL/rJndyaeBMFrTLi25uB05VFN/BGvXZx/7Turbx+lv274FWp75+Abo3M+J7m4koDun9ljHYTWScCGTpfLtrQdEQ4dPhJQGD3URWO5UBNexDaA8+pd9DMNiBqTBm55EyxDN4pZbOh9b4RmiVKkMN+8iiChsngXqze1DvvhKDmiQuWTQ3ymuI0WCLsZBrsCdpXOZk0XHymH9ecooZvUA3UJDiZL3n+AVhfl8K8jgXprcIWpfJo4FAwW4LyI9Tvf8+eQzaudVDLBXii5SfV1Te+lVFr33HDbDDscOQrz8DPILdgciOzWGtwnObPanur3n9rT30tLHyRCCLZkO74CJoF10aVp2ixsDgkOrjt+HoPz4GlSEiKmJozBgiIirxmKmeKEokdZJu70dZuSjwQu60DR7BFs8Aw/hhUJ9+AOXx6HwsqY/etGW9xYreoI0WEr22wV4wVAwpi4Ks8uMU7wlB0q2I0wnJzgpcp3nTjK30jLFBZdSyn+Bs/RCcH3cMul5PIgL49PZWnV+EHNxnrG6F5fy1Fmra1+4BwjwHApYxg0yVZXidhw9EdG8umoNwq2EfGqvDzIkGZhJg/e+QiSP1n5BKBLm5UO1bGp9fAMk5G736EFHJYPD3k4iISjb27CaKI7J9E5wD3gWC5VPevc36x8apWAsnv3JC4WjUJVKgntpRW9/alVCj+gN5udCeaxuT+shXn7pe7NoKmT0F2r9aGVhIP1rs7NkemGk8V7Y7F3P1WtBuvhvIywu+gAVU91cjWl5+MNDT+IhO2hcbyKH93n9HM495XBCofl1Dz0ZERETWMDHuD1Fxw2B3ScMenvFt5xa7a0DFkEwcYXcViBKe+qy3+7WMHxa99cycpP/G2TORFezMx6HX/g0pXznADAHOD44XXCjlGx+g0i4yP3TP+kjGh4gWtXR+VNtU3DCQCo2IiIisIXMtHN+LKMEwjQkRERFRjKkfp0C2bfSaJtlZQQKCmiuNyt5dIUoOfFM7/+9dkM3r9Jfa/CfU8l8g+fm+q3WJQc/uEsUjRXqJCHSzswURERERxQh7dpc4vNggIiKym0z/BgLA0WMYtNoXQPLyoN58NvD8S+ZClkRvgFt3r+iMk9Due8J/Bo+c3WSBtBN21yC2mG6KiIiIiGKEPbuJiIiIbKK+GwPZtxvYtwtQKuLyZN70yJbXSfMh6SeAzPSIyiVv8sssu6sQU7Jqqd1VICIiIqISgsFuIiIiIrts/APqg9cjz8ldQH74KrICcnOhPMvIzoLq+AJwKiOycomIiIiIiGKAwW4iIiIim6lxQ+2ugpvMKRrQSLZvsrEmRERERERE5jDYTURERGS3tON210Dfvt1214CIiIiIiMgwBruJiIiIiIiIiIiIKOEx2F3SiN0VICIiIiIiIiIiIrIeg91ERERERERERERElPCSYrGSuXPnIjU1Fenp6ahXrx5atWqFhg0bBpx/xYoV+Pbbb3Hs2DHUrFkTzzzzDJo0aeJ+X0QwZcoULFiwANnZ2bj00kvx0ksvoVatWrHYHCIiIiIiIiIiIiKKM1Hv2b18+XKMHz8eTzzxBPr27Yt69eqhV69eyMjI0J1/69atGDJkCO6880707dsX1113Hfr164e9e/e655kxYwbmzJmD1q1bo3fv3ihTpgx69eqF3NzcaG9O4stMs7sGRERERERERERERJaLerB71qxZuOuuu9CsWTPUqVMHrVu3RunSpbFw4ULd+WfPno3GjRvjoYceQp06ddCyZUs0aNAAc+fOBeDq1T179mw89thjuO6661CvXj20bdsWaWlpWLVqVbQ3J+Gp77+yuwpERERERERERERElotqsDs/Px+7du3CVVddVbRChwNXXXUVtm3bprvMtm3bvOYHgKuvvhrbt28HABw9ehTp6en4v//7P/f75cuXR8OGDQOWSUXkVKbdVSAiIiIiIiIiIiKyXFRzdmdmZkIphZSUFK/pKSkpOHjwoO4y6enpqFKlite0KlWqID093f1+4bRA8/jKy8tDXl6e+29N01CuXDn365JE0wCxuxJERERERERERERkWkmLZZoVkwEq7TZt2jR899137r8vvPBC9O3bF9WqVbOxVvY4kpwMZjYnIiIiIiIiIiJKPLVq1bK7CnEtqsHuypUrw+Fw+PW4Tk9P9+vtXSglJcVv8MqMjAz3/IX/Z2RkoGrVql7z1K9fX7fMRx99FC1atHD/XXgH5NixY8jPzze+QcWAM69kbS8REREREREREVFxcejQIburEHNJSUmGOy1HNWd3UlISGjRogI0bN7qnKaWwceNGXHzxxbrLXHzxxdiwYYPXtD///BONGjUCAFSvXh0pKSle85w+fRo7duwIWGZycjLKly/v/leYwgRwDXhZ0v4RERERERERERFR4rE7rhjvscyoBrsBoEWLFliwYAEWLVqE/fv3Y/To0cjJycEdd9wBABg2bBgmTpzonv/+++/H+vXrkZqaigMHDmDKlCnYuXMnmjdvDsDVK/v+++/HDz/8gNWrV2Pv3r0YNmwYqlatiuuuuy7am0NEREREREREREREcSjqObubNm2KzMxMTJkyBenp6ahfvz66du3qTkdy/Phxr8Tql1xyCdq3b4/Jkydj0qRJqFWrFjp27IgLLrjAPc/DDz+MnJwcjBw5EqdPn8all16Krl27onTp0tHeHCIiIiIiIiIiIiKKQ5qU4LwWx44dQ15ent3ViClnn07Azi12V4OIiIhiKbk0kMchqomIiIiIEl2pUTPtrkLMJScnx0fObiIiIiIKzPF6j9isqFrN2KyHiIiIiIjIRgx2ExEREdmlStXYrMfBUz4iIiIiIir+eOVDREREZJdSpWKzHs2B8nc9EJt1EREREVHc0e55xO4qEMUEg90lTclN0U5ERGSP0mUCv+eIUbDb4QA086d92nNto1AZIiIiIoq5chVCz8OnAakYYCsmikPaM68GfvPiK2JXESIiilz9RoHfq1gpJlVwNL4BmqaZXk676h9RqI29tNvuhePlTnZXw03758N2V8GLdsd90V3BRZdGt3wiIiLSZ+RcMIzOEUTxhq2YKA5ptesFeTOOvrZXX293DaiYcXz4md1VsEdSEgNAxZR24x2AqMDvV6wcm3rc93h4PXXKV7S+MtFSs7ah2Rz/+R+0a2+JcmVMCOMmRDRpDz0D7YkXwlv4nGqhy69+Phwffg5UTglvHURERBQeI+eC8XVaQhSWOIqaEZUAV1rQQ86ix4qC9h43Sqcu2j9ujrxcKrG0mnXgGDkdjk597K4KkTWSkkOnELvs6qLXEf5OaE++qD89KdlYUPXKJj4LOoDzakRUp5ixMTDvGDENqNcwvIUjDXZXqxnZ8p5KJUGrVBlAeGnvHN36G5hLoNWsDe3Jl7wnly0X1jqJiIjIIEPBboYJKfGxFRNFkePz792vtXsftWYgMqtyaDksuGXLH0Ky0rnVAQCaw2E8+GNlkMdOHE6h+BLxDnYHe3IHQKnX349odY67g6TEMPC90s6t7up161nmf9u7XjS6PJKqRZX22PNwtOkE1KgN7ak2QPXzY7fymrWhlSoV3u9zpSrQ/vlIRKt3dB8c0fJezq8LANBqhLf/tMpV/XvYB2jzWhnv4Laj64Cw1klEREQGGUpjwq7dlPgYqSKKplJJ7pdaoysM3klNnB8XjYNX2M+3F2Yi8wyIGPweaDff7T0hubSFFYola6LdfvuDDHF06Glqfq3ZA8ZnFlcvVve62r8Xuj7/6wbt+tuhtXjSVL1CMnKDUuD3W6VdchUcn38Px1MvF0277wlobTpaW79wJSXBcd/j0M6thlIffQ7HnS3g9Z2KYo9hx4efRRRsdvT/ClqVqnC06x52GVq58mEvG9DVN4SfWsm3nSnvND5aYQq0qud4T69VJ7z1ERFR4iguHVUSlZFzQXZoo2KArZgoirwGAxMx9sORnBy9CllNJ9gtEDg69ITjlXeg3fOoDZUKIZa9/WLBYcHTAvEinJsnPkEUVD3PmrrEmm/v3zBoN9xe1AM33lxxjd01CK72BabajnZ5Y+Nli0D7VytotzWH451PoJ1TDdqdLYKX3/gGOFq/Be3GZsbXAwAXXhy8XENP9IjPzSZXu9SSkqHVvRDas6/B0a47HI89B8d1t5qrX7To5T33uNkczbEAtJp1oJUuU/BHGAOAFhz3tP+7LrJ63HpPRMu7FRyGNE2Ddnt4A1VqN/m0W9/zmiZNXfNdcFFY5RNRCcCAaPHF8Rrsc+U/jJ2rWPEEuAHa0y+HnokoTAx2E8WSkaeGbmseYgarfnysSGOiU4YA2hXXQPtHUzj+9QIcn06OfD2h1KoLrdUbwDmhg1Va88eiX58YcgdZigPP9mS0nfsGuxOV5og82H1HeIGpaHL0GAbHFzNQqkNPoFyFqK9PuzfM77fA3LH16utdN/X6fGmocK1CJTj+8xo0sz1lLXp6xtFjmOuFoZ7dEvRvx+3NIw7MRkL7z2vG5jNyQyIpKfQ8Zpj9Dp9/gXXrDjdfuJ+ibdAuvjKsEvxudGsOr971WgI9wUYAqlQFatW1uxZU0pRhDn+iSDne+sj775c7GTy3jNHvNM8HwlfcOvBFAYPdZJipx7aLKe2J/0a2/DU36b/hMaiW9tjz/r8vNYoegdeqVHW/drR/D473hkRUp4j4Bk4qVobj8ee9ZykbhcerfVWrCcdNzaBddW3oeYvbj6qRtB12pzoJ0dvUzfOzMZqOxC/YHWHAuE0naC++4dUr1JQGl4S3XLnyxSdw70GrfYE7sKU1vj7662vxJLSn2sDxv66hZ/YMdIpvb+YQ69E01029c6uFnjnCmxhuRi5OAqxLq+0Kqpa/xWCaG8+e0uF+FwJwdOzt12NPe+w5w4FnR6gbwoVltngSuPgKaM+3CzzPDbcbKgsAcI6Bz9qM0qXheOMDS8oBYN3xw6MNGWrfngoGWtVKlfI/hlc5R2cBSgSOlq2tvzFEFEyI81b2Bk1wVp0XUXCaA9ql/+c9qWy5uMrZrYV73URkAIPdJU0kPy4GHvHWgg2MleC0ZvcHf6Q8KVT6EYF2/W1wvN3Lv+xb/1n0OjnZK7jt9/6t90K79R5XmpCrroVW90JD9fdfqfePmG5vuSA9pbX7Hve6+NHu/xccA8ZDq14rvPpYQPtXK6B8iN6jNga7tQf+DccnY60t1EAAzNH+fUO93g0z+ei5o9170J5rC8eQSSg1ambA+TTPxxrr1DdWuIQO8Dje6AnU0f+eaC1be/996VVw3Ngs7A4Npbr003/DyP43sC1W0Vq2idm6PNZqTSn3PBL4QjgpCY47W0BrfCMcnfoUTdcJVDre7u3xl0Tci1q7+W79gJ5FF3W+g0bqCrGuMldeY6iHvVauPBxdB8DRfbArcGmlGrXh+MA7rYjW4BI4uvS3dDVaxcoo1fFjOG75Z+iZDXC88QG0G++A9tJbkRf2f9eh1PDvoKX4tBePm9mG69XrC9eLGB4/DPH4PjkebGljRShi51Z33ZAligHtif/C8eKbAd93/K8rHM0egKPHp7GrFFmrOKVgjGsBzgnjKNiNOvXhCHTtZJLjlXcsKYeKDwa7yTgjx8Wr7Xu0OepCPObuGD41ZBGapkG75CqdN3wGA6tUBdpTAYJRSUlwPNcW2j+a6r9fqUrIeujWrV4jvalBFnBAe/jpor+r1bR9wEqtTNnQOUbtDHZffAW0qufC8fr74Q/85UvvAtQngKJpGlApxZr1AXC8aa43olapMhy33gMt2I2Iq6+H9sizRctYlMbE0fdLaJdfA8e/W+nX7ZobvSeULhu4sAjSBIRMd1G9Fhz3PaH/3nk1jK0kBr0jtEgCh5F89+rUh/bf9ig1aiYc/2qFwMemoulao8s9puuc8F/YyHWTUtOAylXDrp+ja39obTq68qXr9X40EOv2HMAyIN/AaDDBji8eqTN0B+YsCJhrFzaCdkED4+s0SgM0v/2kQbuggemBQt3MDEAZ4EkT7a4HAy9z0aXQataG48U34bjhdmiBcpUbHVg3QFDb0W2gzszBf1fdAfN4eDLE42aLo917QPmK0Fq2LhqQkuwR4GavYSJwBHlCgshKjnsfg6YzDoOjUx+UGjUTWmPXeZtWu55lqb4othwG05FRlBj53hg5L7WIJb27a9UNHBsprirpjFdDXvgLQcbZfRcwzCCudYI/5q45HOE/VqdTruaZhynlXONlWflomG/v76Z3ea1H86iX5pGKxUqOx54zuUSI7bdzdOnCgb+u/AdKvfOJNWWWLgtH5z5wdPzYPUkvXU6wXjJ2c/T4FKXavgutQiXzC/v2ZvRt/6EGwfGZXysTOAe646U3gQsvhqPtuyYqWFCupsER5DN3tOkI7dpbDOaADrAOUz1lwjtOmB4w0Wvh8H8fSr0/FI6bPVJwmC1LJxCoOUrBMWQiHJ9OcQVffW86etx8CUa78OKigRp1xzEIHYTUHvkPtDvu9+6NbkSZADdngvXC9Kyi3hMUUX+8WGcfFUzSDA5kql1/m9ffjpc7G16n46UAx8IgF3/arfcanjcYR9vuQJObXGlb9NZT1eM39dH/wNG5r+GncjSr0qwECprr3aj35ZkC5ZIr4Rg8AY5gNxH0RDFdhjt3fYkT4XdaBFr18+EYGoMxWIgC8L6BTYlMs3K8CgrM93yuML2YgWth7a6HolChKDq/BI4rEaXYS3HCYDeZYCS4UMzyIXvQrro2cIClILDgCJbXPNi1RqieW6FyUTcJ406myUfTHW3fhfbMK37TtefaQrv1HqDxDYEXjmBgI63hZaFn8vwxDxXrNpuD1Eq+gdU2ncIrx/PHzeGA1vByaBdfUTRNJ5WMVquOK82CJaz9nmu164W/sPIIrtz/L73SXf8FCuB5TvfKMatzA6pmHZTq2j/sXop+gxN65ELWzq1e8L9O+4yjPPPaJeENWOda2Mbt8AzC3XA7HG9+6HpdukzRDQ6P6jm+mAHNZLoeVxnhbaNWvgIcz7xi+mJee/y/3n8bSSPlNRCszvsWBLu1ZvcbW78FtMefhxYq7ZHnOr1uqoVZlzCflNGuvg6lXu2i22vRb97z60JreBm0f9xsrPBrboT28DPQ7v93WHVzczojW96DqYEoC3uRRfFeS2Hu+hLHohtYGlOZkJUYqKHiINj1r90KU6wWPP2mPfSU628Dv81acqj0rFaJn2ucRKMZSDFc0jHYTcbZfSyyYzCLc6vDMfAbV2+7IMFu79yvYQi1b0P8KDme+x+0Fk/C8dEI46v0HeXcZxXa8+281qtdfT200p69Xl2fh+PWe1xpVYL0dHO81hW4/BogGo/E+wrRTrSLIwjW+TLdA80n2H3VP8Jbb3IyUBBw9Uwr4Xi7F7Tmj0O7I0igyQpmjgVGB5oMk3bj7a52Vb6Cd1odozzbi+d2hToRtOJROWd+5GUkErNBTocDqFJV/6aQ2bI88lQ7XnoLWsFAet5lFh3DTAXpQonmb5dnNZs09Uh/ZbT+FgeeX3oLjr5fwvH0K4GfUgixb7U77gPqNYR2x/3Q/vMaHH3HBF9pBLtXKxyws34jwPc3MchKtAefBK5sAi2qT8wUDOxq9AkDTYOjxZPQrmgc0VoDpXwyJJK27v6OcuAyo7QWBnOhx0OKGyIf+h0UTOLhouSwcUyoYByRPPEYTVXPcw+C7eg5HNqLbxaNrWbkSdAIOqrZQbM9UBV7gZ4SpCIMdpMJRtKYGCzphQ5h1UBvcMf/b+/O46So7v3/v0/1DAwwDMMAw7DIvolsgiwCsgjigigo4i6KoEaNuGDc9xiXXNeoCSbizxiTG41Rc2OSa4wxonwTo1FxuYqoaIygIg6IyjJM//7omaa7p5fq7qququ7X8/FQZnpqOd196lTVp875HLeZ9lUyA4c2BT9i3mBMb+q885rmmVrDtGsv6/DjZbp2l+0rv8Qn0bHB6p59I5N6OXRhYep6KHTeNQpdcXv8H1pXSG3bRSZec+wiJuH9u3iytq65S2bReTIzbQ71Svxq8gioWWddJuuuR+J6ApvBw2UduTBJPtymvx8yP9ITPO8e3jbz0k49SNZdv85zX0261MnMPyX6q3XuNbIuukmm9wBZl98m6/ZfRtJ4pAq2ZPtZZ1jcdGvZQ9A6vSkoa/chSPNEtCH3hu1LisvRvFuKNzggc89i67tX2NqtdePPbC2XUt9Bsn74/8kaO7nl37L8Ps1+B0TSR5x8TuqFEh/YtckiD3R0Ry3b8nCyNCYOBdNNTHov6+Rz4n6PatHrKLZnd5JzTx4BS9O7/+50GqlSAiV9MBqTZuT47yh0+a2yjj9D1pSDZJKm8XDo8xswVNaN90XakllzUy+YOCqnbaVCS6+WNWGaI+VIXrimYHfBelc1GZo8lYzpXJv0devS2IlFHYg8pal/uaSQssu64naZk5e6tn1XZEinY45ZIrVuE5lPIB+xI2McGyGGkhfKdO9DJBuxfBrMTDEPSCGkfBjeq79CN6+Ijvo1NZ1lTZi2+/7QzujuLnUOlRL5sM67NnnKwjETZdoxOiYTgt2lJp9eN7Zuzu2diKyJ++dWhMHDZQ44PLt1YvNM5yu2p3Ndz+zWTffZZ/psXTi/m8QTXY8+u39u+pt18lKZsftF8oYmcuAa1LrtIVm3/DwyOZtTJ9WEcoWuvduZ7aZg7Ttd5uAjbS6dULhWrSMjBnJgjEmbXzrpOrXdZd39m9STnzqtulOWeaRTC/3g3vj0IR07RVPcGGNS98Rtft1OGpO41zOVqOUCZp+moKzN3LnW2ZfLjJkk67JbbC2fq+RtZvI3aGeYvxkxdnfvkHTLdUoIjtl5qBebtqixMfse1qmWD5Up9J1L4vN+Z9LfRgolG/tPmt4q3wek1TWRm5x+Malx7J7fY4vYKlkbkmXjPmSE7VXNlINSzO+QYUTOaRdG/j3xrKYXYv42KctzfGLgulMXmbKySIoGX/Uc88eNvbXsepl994972NjMzJon03dQpC6Wlcs6eknK7ZihTaMpUk1U3Py9pKsKOZ4vbWnfQaZ3DqmLfMyaMUfWnb+MjFzIS8yX0idmouZWNkZu2cn17hWb+fDhDjN4ROaFUFzKyqNp5PzKuv0hWdfYn9/B1HSWdcNPXSxRGikmsLcuTD/i3JTZeIheqNSDue4nU/o6v8qyg6MZOmp3OprY131yjeh3BLtLjkNPyXPJZeqUbHtB22nQU+4rMbdHzO82Jh2zLZsb7EwBjRy/4mRBJdOxU2TiPDt5s3PZZ3l59IRr5Tq5ZwuF7wliqjrKuvy2zAsmBlmMUeicK3PoKZX7CS4yEV/C+hlyflmJDwxsX5ikCKi6OQt7tg/0wmGZqQdJkszh9tIFZGaz53tdD1lnXCSzR1+H9ptCjpPppZVLFbQzOCi2F3q63ME266AZP1Vq117GTg/cxAkqjYl7MBSbMiibcpkkwR4zYbrM8d+RddWdmbeZbDdjJsmavSD+M41LyROXkydx7d0/tW4t67xrZC29OmY72ZXFOuNi+8vmeOxbY/eTdc+jsqYc2OJvJtMktFL+cWMv0qjlXGaHU9MMHi5r0blp84xbsxfIuuvhtKPczJEnyxx7mqwrU9T56Gec+rNOly4tb0G8b6yuybiIsUL5By3SVH/rh/enXTW07PrcJ293W7o+KPv6NDVBMUny4MscsdCDgpQYDx/qWlf/KHkaORvSzgXiINOufdYTaJoUQWe3mWQjHyWZigwjExNHoCZ5IOpoOj8XtBixNHSUJ+VIx/rJYy1f7OJNXSlVBLthX2yb16GjzLipSZZxs2H0wXC2uGC3zfI0B7KGtAx4WN+5WNa1dycfeh6/Y3v7kpy5iPHgxt7Udpe1/PFIfvT4v2S3oUKWPTa21Lt/5qBiqgwbBx7hXJlsMK1ax6fhSXGxFP17YiqY2F6VzcGrZL31Urxfa8pBMkflkBfWzoQqI8Zmt832VTLHnSHr+p9kPWokTmwPN68vEBMfCLpxSOTyHu08qIw9ftPmmbU5imjxBZHRI3GTEqZaOEmgetyUSC7n0fvaS4lkNwhvWbKmHZx5YsVUovmN7eyv5UO2uN+H7i0zbHTK5TOKq/vZrZrNinml82gT05s8001gMp4Eu/19oykpbsLaFqPFEpdtXSFr/0O9nSTaQylz2OfB0ZGL6aSp/6a6k40N+LQuO3Vc20j/hWSSjISyPVIyi71MO9jR7VmX3pKQvilg7DwgTuTxqCfrjItk9j/U0zL4Uc6jZxM7LaZoC82SZbltv3n9JCPCHNOmnawf/besH9wbqR+T/ZdiK+l1kVPnnQBcI/oBwW5kIf6gspZc0DK9hR8PvHyK5EDPbuvyW2Xd/Uj80O3mn/caHQkkJvvcElMA2GQdMt/+wrnc9LvIWJaUGPhvn7o3WVJ2ziFZ5FczR58q67p7bC6cqbKluJjoll1KHDMw/xsr68jUvWfM+KlSZbrgYEzP0L3GKPTT38la+N0sS5DDyd5Oz+AjT7adQ926+GaZtpUyliVT2933vRhSsa65S9Ztv9j9Qou3keSzDofzC+7H1oE0dSnFKvY0puvZvftH6+Kb0+/WTm5CKWkw3lRWRYa0ZtF72U3m5KWRiREPnNv0QlzXbpsbyfBFeBHYdZkpL5d18/2yfnh/2uG7camS4pRQsNtu7+n+Q9xJK+L2HAYpufx5pz2nZs9MOch22+beuc3mw72u3V3avzfM4gviXyj2vKlu3StkyuDoVH74vNP4xDN9B8p4mKc5b7lMHN9tD1n3/Cb/fec6OqfPQHdH9pQY07FTfL7vVMHu2LRVuexn32l5rZ9x+xVtZbrUyYyZ5FjaTF9pMefObrZGrIJgN7KQ7GI504mnupOsc650uBzObi7trvZNyC2eQ89uY4UiPWljWP/1gKwf/VqmecKBJPmqTbeeMqd9L5J3K5sblWFjbOexyuvG3q2ASGKqj257ZJljOnO5zPgkoxJSLhzK0MM0Cw58ZmafyTInOJAGJF2ag7btZA4/PsvtFeJ0EtulPPkxYVq3lpk8K+kqcTrVyvQfkuKPadZrljYHf4Z1M8l28sXuveJSDJipCb2YUpU1nxvA2DKmysHbcqXs9pEm2G2NmxL5oUtd6okQs5WqTpWVNQWLbBy/Tt+MxQZRrJCsSTMUWnq1TEXbpsLFLNtos33JFLjIuplK8b26mnIi+4PMdOyUsReqSRW8tfvZOsmrG3ub+zXDxrgTRA3oQ8eMEm/Enc4XneWw++yEk/7YzMw/OTIsPtW5YNCw5K97Lrfj2jSff0pFLsFRBzjXk9ehNqVVa5mjT3VmW15KOldHZiZZPcgmzWWP3ilzTLeQmJKiCB/CO8WM3S+39ep62Fgoz+uQVq1l3fpg2k5jQe1olAv7c3w1Lb9X8gnDJUnZjmQuUQS7kQU73SpN5KK3SeiH96e+eSwEOw15Emb2ApljlrRslGIb5DwCoKa8PC6flulSJ+vca2RdfmvcctbYyTKJNwmZJgArK5d15R02C+LHE0zLN2hluOA1YybFrO50oD4s1TrVK8mBYPdhxzo/+3LHxACQkf2bg6b35Mu6FMvlC+W4zef3WeR7g2eOWiTrnKt2v5Csvuf7faXNCW1nHRvS5eweM0nWJT+UdcXt9vefiRPBRYd7pZq2lbLOv07WhT+I5NtvuUTMzzZzdmfI0e+U5BNR+lyqOmp78k8H20GPeil5duPZ9BmnfQjphFQ37y6+bzPloBZpeKxzr3F2J+0q44MecamJ8pSq+reJPHSzDjxC1l2PON6D1nUOznGDXKT/HL3syWuOOU3m0GPiXrP+6wFZNibn9rtcg6MttjPz8Mj1yTlXyUw7JGNHK+vU8+0fO4nXfz4Ndpv9ZmVeyCk1XWRmzGlZhlPOlbXsBzKHHu38PnN8MLKbkWnfQaYuuxHM9viwTiSbtLn37t7xVpZzEpg0c+RxHrKHYDdsS5rXN9mBlufBl7IXb7RNs799M3pSbuWp6yFrxpwkw51jtuXwJJ1mr71leqcaLpRlT8+8JyOycwIpTM/uZuaks5O+bi27PuVEQqmGQKb+nJOoqk4RZLIp9sbakY/M+ZOb2Xe6TMIFfDSHb7J88naP+7T1KJeczw6+9x69s9t1ASfYin1gmNP65eUyw8fsfsHuTUI2QaacJqjMtmd36geKxhiZfoNl2rSNP8byqCLWiWdJle1ljklxDmqXOaWSdcpSW5PGZcPsObLlQ89msQHlpsCTJFmHHRezUPz3bx1+vDRgzzQTxfrwBsJrTk5IbVdML3Rz0tktR5qlUttypFggNN1UW4svUEW6eSQyznGSnjnhjLzWz2mfhx/X8kU78wiklXCchsNxAW7r7Cvy3H6afTXv47u79xFJqZJjA1yQkWFJeHFcYzdjHAim2ThfZaqWg4e36NRizThUVuJxG9TYUoeOcb9mmzoxFbPnCJnyVjLDx8g6/ozM1z7ZdBxK19nBTwqYy9z63g2yjlnS4nVTXh6ZPyOvB+Qp7r0T6k5RaWN3VGpySa/JbHwHpu/gph9SNyhmwnRZZ10q029wrsVDE4LdsK855YZDrNt+IevqH7Xo3ZKpF2/cEGxbjbCDE6nFZlHoP1jW2VfIutZmPud85PAWrLMvb5kjsoOzQRhX1CSfvMrab5bMlANbvG4GD4/v/REb2GuaUM4cF39zm03OazNmYuaFdi/d4hXrytuyWN8GN27OjCUrbmhmWKZzV1k/vF/WjT/LUJ7mzztZJfVD0Mwk/BthLUz+8CSqRdGzOAjzfeCXJqdwbpLn7I5l/ejXkclhbZc9/XLWWZe1fDHbiza7NzsO3YCann1k3foLWTOSn4PM+KmRB0MnL02/jZvvl/Yc6UyhMjBlZZEhorc+GFdvTO80vUEq2yt00U2yphyUfIFse1B5EgBwaacpe3bbXN+B3mfW0qtlFp0XN8TY2m+WrEXn2lrfVHeSdckP8y5HUoP2ivnFmfbdnHp+JB9s07wPprpGXa6+PeXy1k15TvSY7vrOrZ5SidstK88/yJdY1xobZSZMj6S/u+Gn9ucqyGVfTVp0HEj8+NINwY5VoPYSBZBNOh0j+yNRXRRadr20R5/MC/rhktYJ2byPpgfq0fSPrWPuwbO9VMgi5ZyZmuL6xG8KWSea4zCpgrRZn75spmb16yi9VEW2MXrRHLlQ1q0/z2v3Sa/J7Dx7O+50mdkLZF1zd+qFevaWGTUh57JhN4LdyELmfLl2bhTMKedG/q2skunRO30+omTrz5wjDR4eCWBmnPQmx7OQnaejYcmMHOvYE3L7bOYKHzlO1q2/SBian35dM/8Uqaws0sPRmWJkzaTLJ9vKxgOXuBN207BouznikpUnXV2wEdgwPfvKTJoR6Uk8bEzG5TMqYG8HU92pRb75lCwfdXlJWpSEXPBVGR6UJc5NmykvoU+HWEqyd/FV0Sa7IcMZ2nqTZFIVM3Y/mUXn2X9AaPfBjoO9AtONijFlZbIWnSdr0oyct+EG076DTNrerj46NlPK8vjp6lZvqlSfVeGObzNstKwUo5Vsb8Ol3kDWBdc7v80J0xS69m57+UOlSN7YJPOcOMK1djy+XpkDDotvQzvVyrroxvx2EQ7LWFYk/V0e1zyptp0tM/8UWYkTOabeQdbbd0QOo8+s5Y+7UpRiYV2SfsLoRKZrdymrTiW5yHwOtI4qglzcqeTRrlmX/ZesS/9LZp80o20c2E8zM+VAWVff1XJuJT9fY7tt4FCZxRfsnpvH+8sUVyTrtZ5WijphnXu1jZ2FXOhYJEnhjMeKaVcpa+4JHsSPShPB7lLjdkNoMuf6tSbaHIqbqDmfY0VbhZZdL2v6ITbLZHOxmBxmKYM+obJI0LJTrf1JNpyQY/Ak26CLdeA8WXc9Ym+W8XxSe7gqWX7ili9ZV9we6cmaRmK+voxSzdN28lJZV93ZImdnTtJM2hdXlKbep8bOg4sW9cShFCNOtze55InOfWfxv2bVW8nhsrmVliivm4ccJgg0Rta+0+1f4OXSszvgF/u+UFXtdQkyMrPmRfKFLnM4+JryJtLug5ckG3A4j7uX4q+NvHuIYi29OveVU7anLr6fpk2bo06RevWXOfDIuP1ZS6+SGWB/xFlSBQsGpZucOeY9HTgvbuLkYpHNQ2Fz8jkulqQYOHvMmSNOSvEHGx2xOnVJGLlSxLL52Fu1luk7KMX9ZGIqpXwK1aSsXKZHr5b7azG3UOkwo/eVlRj8d8Kw0ZG0YJnmVkv4LswhR+W0OzPn2LR/t2YeltN2W+yne6+0IzAjXEzF6koQHbki2A37kp4cswySOT37vIPM8TGpLkLJDw1jjKwr75B1/XJnh4gWip2eyBnelzliodSzr8yseU6VylnJ3mKS/OqmV7/06Uw61coclv7EnA3HenvaDABak2bIuusRWUlSvzQVKI9CJBv6VoDAh1NldkJiPYstm+8mDWl5UOTd8y/uuYOD7ze2jbL5YEep0hghK9bZl0d632fd7jnx/Wc5L0Wr1rKOPlVm8HAH9p2cddalu3+hWiXh4YeSz8R1KdsrF99P0z6tWfMUuuK2yCTTcQ/pHNi3L9o+v537vGXGuRCg8juT5h4iMaezw9dK5qAjZU77Xj5bcKwsvpLYNGTzQLsxm3bFgTYopk6Ypk5t5pSlkRE9fuSnKpNlWUzrClk//P8icy/YHORi/fB+mbknpN9wihHaVuK1ZfsOLdKMtl9wSvpt25ahLrp2uvTDeRixCHbDvqTBnISD2s2chy43ICZ2sqA0F2vGsjwIdDv0mTqRT/TgIxW66o7IzZovJQnsVVXLummFrDt+aX8z1TX+nOk4izQm2eTHy0qyjyUmjYmZebhU3UkmRe7jgkrVVmWUZPKvtIv7+AInoWxm/snSyHH5bdMke+DhgNht7bLZm7ZLN2noKGn0vvlNJuskP7YdGZiR42SddqGMX/MzFkTM9xabNiufuRKCVxX8L4vjy7r1QZlph8i6PMP8Gdu3u3fcJsuxGteG5rDNFjm7XUxxFrevNJ9RrikOY7efONeMm/x83naAsZ1GxsF9tm4tc9hxMgfPt79Oc8/SPOeGMsbISja5re2pSIq1sU64Bqy22Uu6Q41UnZDyL93h3z9Duj8bzPTZu38+9vTI/F4TY1LH2S17ofipCWmT/bWbCYWa7nVtpkit7pQ+3d+0g23n4TcHz28xSr96oY3RyNlqmr8rH2bSTHsLZvVwKEbbhGuEIhoR6DWC3aUmxws767xr4n43bdomX7DcpeBaXmxcvCTeiKTo2e0LRX5xnpad69DYzyfmZ1PTOTBBHOv0SM8Uc1KSSRSduqF1/KI+Zvjy0afKunmFC0OY7eYkKrYbFgfTmFTXyDrwCAce5BTgM7absscYhc67VqHvXOJygVD0Uo3QyOe0W6yn7Mp0eeJdlkX7Zdp3kHX8GTGTtqZYt1PyybGdkDz1Rcv8S+a4M5JOxG2Lm9eGpmVZ3WLd8qCr248Xbpkb2EkeX4q4kvognaZ0b9acY2QlSSliRoxNeKHpn333l3X25bK+/5Ps91nIe6Kg3n/Fljvt/B4xLEvWjT/Lat6ibOfgamH0vpEc7s3bM6blfUQ+o3r8It/OJimYKbOkkeNkTjwz+5VzmL8gqQzB3thAeP45q+2V2br6R6nX3aOvvV3Z7uCXpEzp5iJrYvY7MOH3WfEL+Dgzgt8VQYsBJyW76DP7zZIZurdiGw4zY07L5abPlumRIa9toa8T2lXavClKKJjfTqYOXTCb5nzpPfs4s0E/Kmgda5HLwpGtmn0my/rxo7IST3aSqxNUmgPnSe3ayxx0ZMs/xl6cxfaebZ7oMTGnmxsBZ7ubzLN3UPJ9Z/F+nB6a23dgy9eaAiIZhxNK7hwTsYEhtx4uNObRm9ZzxfbApUTkm7O7BJgly2QmzZCZfICXpXB+i3YmJnd0hy1fsqYfYm+CcKllcKKzS5N2DthTGjTM3rIOXDtnNVFyKu1s9g4PS3IxFVLJyTRx9YJTZQ4/PvaVyP8tS2bkOJnENCfOFcyl7QZF9heB1ukXOTtSrkPHjIu4lqqk1e6OeEk7ERWYtehcmQwTncezlzLWlLdS6OzLZU05KOeyJd1uU6oRc8iCzAtnuFYye/SVdektke9hr9FOFC9VQXbvM805xYrN7Z3uvGH3QVeSxayTzpJ69kk/0iY2fc/xZ8gk3MdaZ1wcn1udvOC2+SyiBy+Z8VNbXKiak86W1XxiiG1bowdhzJOz405vuZzLrAwTCMYOh8puwwHMx51KTMNr9hot69q7ZV3yQ+/Kk48evW0s5FBkL+HEZl15h1TbzZlt25BylmjHnu62PFCt+adEhnxn2IexQrJueUDWzffvTpVSkAdEJumPLZaq6SJzxEmRXnLNFxADYyYeymVIW4sLHYd6QdhgTjlXZt/pcT1yzITpsu74pazZNi4+szom0gxPPPa03T/vm+NEw9lwc1i+2/xwb900YskMH+NxQWzoVOt1CVrKs2e3OeFMWedc5Y+64CBr3BRZJy/1T8qgYmRnVFRTT3XrohtlJkyTdeJ3HC+G2Xe6QhfdZD91nw/msjGTZsg64yJ7C4fDLo8EC8bBby37gazzr0v+t4tusr+hDAEh07pCZmpMIM4Ho/Bie5Nb+zfdM+byAKT/EFlX3elQqRyWy21RqvuAdN9Zuu/fTtvgUn2IDSwn7URUYKZtZXyQ1eessZMj9xvzMneuMQfPzzgSyPQdKGu/Wfl3inLidr8iJqic7j7W9r6SvN/a7gpddWf6kTYx8yiZJA+XTW03hc65cvcLdh/ogmA3YoTDLY9RPw3ZSlIUs+fIpIta9z6h0E9/l/opcaaZh/MIdpv9I3mKzYTpOW8jyVad2Uw4LNNtD5lWfkw3k5nZ18Zn6lKdNXv03f3gJ+VC8d9T8qFTOe5/1lxZ37lEpi7fYV8Z9mMzaG2qOsrEzY6e7cwo7t7kWAm54GLbgt3D2dPJtnyxT5WyXDVdKabPlgmFZC06T2bqwTG7C9tPyxOX2if3slj7787BbkKhyPC/tu1sfp52JU9DhOxZ190TmXTS0x649hgXU0hkJ1Uak+x7dltTD4o8aKAaO89HcxXnLs28BzXpjwdzzGkyTb33zIChsk49X6Z5lJWThrS8xjZJJvyO/s2FjiIpe2ImSwXQe0AkiGS7h2hCGobDj5NquuSWBiAffVqO3sqWrevjVDp2ktlzpKwLb2i53QH552GO48V5PV2O4di0GaMnyvr+T2Sde03K5VNup0dvmSxGzZpph2RcxjGxn7mj197p57YxS5alXdu6+GYHy5KObxp9hzh/DGXKt273fsN0qfPFQ6yMmutql27SsNEy46ZkeJBj8xowy/bNOu9amYOPlJl8QCQ//TV3yXTPkCVBKr4q7SKC3SUnzUGY9ABNMSlN87JJg6Z5HIEONZAmVd7NJtZZl8n6wb0tV2wO9PW004M4xb6PWiTrwhtkFno/VKqlYN91Z30j5fjbTahLiRNKJC5tqye6zT33HSQzel/Htpd9ATIcm47n586hDH7Zl5s3E55toyXr8ttk3fLzLAILJcQHF/umQ8fI0HC/peVK5GA7mbe47y3mZ59+hub4M7wugke8P77ylmMebHPgEbJmHOrqROnWTSsiD9cnTGu5//5DZH33ClnX3pNkxdzKZGJ6tbX8Y4oh+0nSIpgJWeaoTvjYTV1PhW66z14agA5NKTfStQ02zwO+GW05cGjSl6Mjdx1hc7JTu5qD8alyUWd4cJTIdO1ue9SKddZlWW07bt2Ctt25DE1K8d1kkT7BGjcl/S76D2mZmxjeaOXSdbxXYYdMQeemPxtjFFp6tawly9KnTrSbVjGsrJo1M3SUrCMWRiYKrayyF+hGVvx59Q5vJDuQ465JWh69pkcvmRlzZJJMRJJUxideTfnbprv7xNuEQpGnjwmsO34l69Zf5DWRoSkrkxm0V+o0FDlt1Kme3QmbHT8t8kNdD2e277DK2Udlv1JsHXN8QoeYHGBLlrnTk8oLtqpXhlyMPXrJHLlQ5tTz7O0zl949hYxvJJYvq2BXAQqaTZuQ6+zgmYpgWc62c4CfGMnMXiB17xU/qiKH7bjFKmTvQD/J6+GDTwLluc752N7BB8spHlSams4yo/dN+aDMjBibfHKxVAH4DB+5mThD5uD5ss67Nv2CsZLmAC7cdxs6/1pVjNtPoctuSbucdckPIwG9QXulXMaJB5ImQ1rH9Cs33XulerCwz+Tctpvs3qKibczPmSduy8Q6/SKZWfNS9xJ2dA6XhJ7Lo8bntbXmHMhm3ol5bSejDPfy2bDOuDjNfvJN75dj2bgOdYCTbWeaUUuOcnjb6cpqe3RfeHcuclK9+QLB7hJj0uUhq0hyQRA39Cn5atYxS2QdPD+/gkU31nTBdcySwp68mt6nqWgj4+SNhBvyOXEkNNZm2GhZV98l6/Lb8yqSW8r75JAeIebzMWP3y33nGT7nTD0WnOb49UK21zU2lrcOOlKWo+l70snjwszWh7l7GesH97a8GU3sRZTl92MmzbS3oCPfu9tdKxy8SA724JPSFHtstPP5+TOT3gNifjGy5p6g0DV3ybRpm3KVjIxzl9rmwHmObSspxx8Qu8S1nvaFDITnGBBwctRIlr1eM2pOEZjtTb5lyTriJJmho1r+LVUAdtLMaCqXqOZge6r60aIHefznntXX0KO3ulx1m0xcm5G4kGT6DY6kwEsc/TZkhP2d2SlPbTdp7wmObjOpLOauSZoWpVVrWVffFRmuX57/fZ6prpF11CmR959yocId19Z519ge7WbmHi/rxp9F8hw7bejeqfaa33bTpa2Lvf/KZV4XnzyH9J0W9deFD8qlWLd/JWns040ytNtpKByWGTdF1jlXyrrhp7kVzZZAfMi+QLC7xJjmhPb9h0RummKfeHfopCRJu5NvKO3D2/yTKRorlOSEmmMUxIGeA57Lq01Ln6/X9Oi1e5JBv8npK7c3A3Mz66YVBcwblw8Xo4B2Nu2DtAxeBSKSjQIxUw9OOsTbVXE9AW18aU03O6bAD2ZQWoxlyfrejbLOuya3h8U+ys0eN3zdoTbPWnq1VNle5rQL899YdafMy+TIOutSWZff5tr2HZVPsDvt91rAuphr/XIy0B8OO5pGwOwzSdbSq2Td8DPHtpnyvB8KyUrIrW0mNk1E17u/1HdQy3USH1p52PbEzoGRkd0JfHOtGw0Nua2XKDFnc1V10sVMj15FO1zfDN1boXt+Y+u4MsbIdKrNf6K+ZNvu3S/6sxX7kDTvXdlrP1vmvU9xrKVKHZaCteDUyJKzYh/8ZjiOfXH/4nNB/Izy6vzXcl1r8QWpj9twY2TC8QzpS6Wm43r4PjIuXq/BPoLdpaa5B3OP3rLmnxLXO9EcMr/lhUrck/IANoRqOiE6PcFKUGUxeUpgZdvDtqazTP8hNred6YIqu31nJQhdu7PaXA7b81HOblNeLuvU83NaV1KK+Q6cZZ17tay7H+GCyxPBPF/mygwcKpOyJ1kGPgp2x4mZuCwfZvAwWbf+QlY+I43ylWIy76iKNjKjJsikynvrA3H5yfMKdudfFtsGDJWZljwFjskxZ7fySLPXUljm6CUyiy/IXEdsMMbIDBsjU12TednY82eaNsB0TLWtJKkVmzrwGCtkLw+2601PmsqW4TrBuuD7u3+xOeLCmn20reVayGoC3gCe27wI5HkcPDQDh+3+pUuSnPgpHkRE2Tkvt+gfF/OC7fz92X1OZsxEWbf/UtZRp2S1Xj7MIQukdu3tP3RCDJ9e3yVhOnaKjMJJprFRZvgYmaMXp99GPhMFZyPZMY2kCHaXqmT5t5PlNdtzVNp1HOfGyJy27RS66CbnN1xQDk3c2bEEgl5+DZz4mZ3PzA/3N34oQ57McWdIvQfIzDk2/XJNF0xm5mG578sYmXRB9WTfe6E/4z4DC7zDwrAOjQQdzOQDPC4JsmXdtELWtXen7JWYC8d67uW6ndZFMMItNkVOjhMhFpLZZ7JCF90o6/jvZF44cYqINPOVmHFZTsKYdr9hmdatZY2fKuvEs6SqavfzBzdJm8IiNh93nyQ9tKXMD6ST/b3Fa+HU23H6nifba9PYUak2y2L26Lv7l5DNVDIdO8f1sm6RGibgItdaXlw8enfBak67UGb4mFR/jfzjaC7zJnGpT22m3sil30u7pgd+ze+hV+rUKtY5V2W/g0Rdusq69UGZwzJctx9weOTfFA84cxa4+9oA3Kxl+5mmWN5a9oO4342d830erItuksZMlHXqBa7up5iQOb3EhHc1DVVLdaOQOIFhqgusTm7ldUzTQLrZ2AftPFIiwrl85zaGGOWsOQ1QKj36SB+scWffTtf/IA5ZK6RUE23ZkeaztaYfItmYgNeccq7MiWfJ2Mz9aJ/PGrvEeh24i/rkTP8hsn7038URZCwxJo+81WbMJIXfe9t3PcCsw45VuF2lwm+vlr74rOUCQTvsXJugMv/zojnxLJlBw6TalumvbG9j9MTkrx+zJD7VjoNMlzpZ//WAKykVsudWGYysc65S453XRH4NhxPOOQW8zsr0Oef4PViX3aLGR+633fPVzImf2NIce5rCz/0pp337Tlm5rLGT1fjP553ZXrrqkXjt4vJhZN37hBpPO7zlH7rtkX4UUb7Hd9osJumC3SmUx3TIyLJs1mW3KPzXJ2UOmq/GixYlX6h1hczwfRR+5vd5jag0lpWxdTDzT5YZP1Xao6/Cz/4x530VFa/mp3T6XqIx+egXM3j3CAoz/5TkHUcdZAbsqRDZCrJCsLvUGCOrqoNUFRmqaoaNUfjZP7ScbC3pqkbWrQ9KDQ0yFekma8ojH6Llh4tsH/LFzUcwmEOPVvjjdVlPjmJdcZsarztv9wtJTpRmj74yc09IOamTdfpFarz41Kz2GxRGxtlrlpx6TcYcB24fEz16S+++ldu6DpTNGJNkkqMCvv9CyWr4dLCkP0+iGJkZh8p07S71G+zODnK4gTMz5kTOXSefo3A4nDxAEgixQ+RzD3abvSe4ev9tOtfK1PXIci1/PG0oaKDboweb8T1ebZah32Dp/XdSb7NtpQvfYG4TmJo+AxW68AeZF0y1flmZ1KVO+nxDztvwjaYRAqZ7r5bfz7DRshae496+sz2Whu4tvfVKFpvP8Vi1u5qd7beolzE5u+2ORjjkKIWffsJmoRLW7bZHZLRkpuWGjZZ10Y1S15457SdmS+n/aoUSJrl2SOJn6ffr/1xTdGWrfYYOaE6K3qskyYxwxEkKv/aizNTiGhVTLAh2l5jQ4cer2xnLtH79eoXDYZn5J0vde8mMHGtrfVv5HPOZ+6cTOYiQH1NZpdCy67NfL3EYXKohS7MXpN5Gp+RBcEd43ePV4YsrM3Zy5OZxwFDPyuCsAn8/DtQHM3CvSKnz6cWeL7sznKN4ed22OchYIWmEveupgonpCWyMiczd8fG6hIUC9h3kE+xuXSGz3yyFVz7l6Haj+ufQ68qrY6Bg+2157k67azun+pwuBzK839hCxY7OyPA5mSMXKvzFp9KaN+Nfj71mCdghVhSi81T1ikwUvGObGn98Y+S1PfrZyi2fuyxzUXfomHUVMXNPUPjxX8hMmqHwC3+xt1KPPlnuJQs51PG4Sa3duMRvOgZNNvcaKbaBFPYcKf3fa7t/d+PjinkAZ13wfWn7dpmqjhlWylHvAdKHa+NfS9GzW5Ksg+dLB893pyzIGzm7S5xpXSFr+iEy0Z6q3lyNWRfdJA3fR9aZl3qyf7+Lv2B2Js9UMAS57EFiJ2e3w8FuKyTr2NNkjZ2c2wbymoXbxjL5vN+AXBibTl1k3XifrNse8q4QLXp2c8yXjG57SGp68IWCsc6/TiZxEqagXSeYPG9fUq2fdY/sJJvOZRiz3Y/f6e/JL9+7V0H3NLs1Bx4hM+WgSJA0U7C7Q0eFLrwh/sWyNDnJk5UlUezEnG7mqM9ltMisuc6XI+XOcrieanpoZWJG2JhhoxMCvTbfd+z+szm2C3AdaM1eIOuWB2SdvDRTYdT1zodkph4s6+TvJi2fOfkcWbfbuBZM12s32YjYY06TLEvWovNa/C1ZOT3TJvNIPNM6izQoRTofTTKxOf9bcKhtt+afvHt/Q0bY7qSZUppyWd+9ouWLPXo37TwY93fYjZ7d8AUzYE+Fzrky4UX7F6WA08yw0V4XIYHTuSSd3VxhFGhoXL78fDGUcIHnyGiEfHpHJZ0k0/gnCAPXWBfdKL37pjRsH6+LEhxOpEhq30Fmv1na9fO7Yl4NwPEW0ya4lW7DGCN17ipt/NSV7afU0c0epn7lQdfuFvcVqYN1pnVrmRPPjPzy+C+y31firkOh7I6yVhWybrpPskJqXHFb3vt3jDGp2yFXzttG2bZP1jV3Kfz3Z6MTBsZtqpndTZaXSzt2RFbPJl9+ga4D7fVuDatV/8EKnXhmyrmQTE0XmUzzEmXcTcttWzMOVXjawTJ2RhAOGZHf/vMxdJTM3vvK9OzT4k/RXuEjx0vDxsj0H6zwE7+MvJbifZnuvRRe965LhfW52BSMjj2oK9x9lekQf0yZOcdGH/C5k7IKbiLYjXh+DjB09teETyiEAgcNq2uk+k2RPc8+urD7zsSrST6a+SGA64MieMoP30ESpk1bWdfdo/D77yh8/x321jnoSIX/9KisBaeq8fardv8hrMjFcfNkyihapl17adQEr4sRLG5doxkPUxl5IV1T2r1Xi2C39Z1L1PjjG1KskDvrslukb7+Rqe7k+Lb9JVO9TfP3ihST/ObR4zeqrCzH3MR2JDxYnn+ywi+/kNUWTIr5YTwVDsvvF2Omrmdkfp1EcZMh2t5ajoVIs97QUdkt74pc95f9epkC3dZN90kfvieNGp9jmdLtPMlrrVpFH2DsXszIGj81vly3PyR9tTkyD4ciDztCSyPXq42NjZE8zVMOdL7MAWfatY8cf8bItG3n0EadPj7st+nWYcfu/mX4mEhubjdys8MVpDFBvI4OXHCnbZByvFEbMVbWdy7Jbd0mZtLMyL/TDk7yVx8H+UtaYb8Xc/jxu38uzzQEtcAyDonNVrYXDv6+uclKmxQ3z/nw84PCrOT2PZu6njIj7d+oWEculPWjX8vstXfLbY3eN/JD87BBAC0NzCMHaaJSmxw8zXWqddLZMpMPiF+8uU1yuhh9BsrsOdKVbdvi5XnL5r5Nyjzquffsts68VKrpLGvpVRlWaOLARMqmc1eFfvo7WUuvknX5rTZW8PCY9NODdQeLYmLvccsSJwBPtZLDn0XrClmnX+TsNqVo2gwzcf8kf0zyHjLVaTvHZ4tFcmtPTE0Xmb0nuDNiJ0mRrPO/b2tV0669TF3ySS2tw45T6IrbZVI9jGuVuX6ZsfvZKkeL789Hh2cq1uwFsg45yutiRJl5J0pV1btfyFRVm+8/Es7PxrJknXCmrP1mOVo+uIee3YhjDj1G4ace97oYLYSS5U/KkjnhO5GAd99BDpQIRSmXXJsuM4cdp/Da/5PZ280ekD4N1FZWSVu37L5AyXOyJ3PKUoVfeFrm8CQ9fkqFi8EN065S1i0/jx/CmG75FDcJ5sSzpIF7yYxxJ8AEFAPru1dmXsguPwW3UnGw7TITpiv87B+T/61DR5mF39Wu5//s2P6QoX51Luzk9GbvCQo1XVOFP/1k9+upJpd1su4NGxPZ5OZ/OrbNgkrTVphxUwpYkEJxtme3GT8teW/XPJtg64LrpA/elQYPs7dCmgn3chaQCcdN/yHu72POMQqv/T+pY2fp9ZeSL7PPJIX/udL1stjj82uAfI+PQ45S+OD5ajzt8MwLS7LOvVrh//dsiwffCB6C3Yhj2rSVWrWWdmz3uiiOM2XlzvaEQhHy38nemnOMOxvONrjhwUdjXfgDhX//a5noZ5Bfzm5r4gxp4gxHyuYJ/1XPFkxsz4lct9Gmrcz0Q/IvDFDEjI0JtSTZTFNVWgM9Tf8hsn5wrxof+rH05ivpF/ZVBwmng0mFCU4Zy4o8uP/dL2N2HZZ17d3SN1/nlsbFhdEIKY+pohm51VLsJI5pDR4uvfO6zLSDpPovk2/r4PnOFSy60QBc+CRT4HKbirYteqFG/5bsO07s2Z1Yx1OVP+3b8uFx4lH1MVUdFbrqToXffEWNKYLdRaMgdd2B+UriOkxlmHS4upPMwUfmvU94r7SublEgAbwwCdSFbJDKmqcCfy9BvaYuCA8+HNO9l6zTLpTptkfTCwUvgn0ldFi6iw8SKDTrxLO8LkLBmS519tKD+S2lmZMK2Nxac46REoJuptseyXtZ2rjeyHsyvWy40QvWI9YVt8f9nmxCvmQXW9Y5V8q6+GaZ/eck/3461WY3gaNtbl342az8Oae2TrVi4Q4667ZfyLrux5G2LoEz8xIlTvAa4OOkroc723Uhs6v/FODmLNt70EzxA7e+b/gOwW4U1h59vS4BkBrRbgBAiTFjJnpdBG+U+jnfw44emSats8s69xqpXfu85/VxXKaPNmPd2/1306Fji79aF9+cfZkS95tF/TetWsv0H5Imh7pLPD5EzT6TIz9kO4dIqs82yXfpFlNZJZMiqGdNOVDW93/i7A4DGrw1s+bKHOyf/NKB4/QxOshmKp4cWBffLLPg1N3HNYoewW4kkefZKkmjZ111p8z02bJOWZrftgE3OXHj2zyMsFNt/tsqFFs3vH4ICtgfglZwBf94fPb+AcBvUuVgRpMCn0dir7FGpZnQOIvzqdlrb1m3/SLnSUTNiHGRH9Kkq7HmRub5MG5OStYiBcXu78YcdYo0fJ+4v5r+Q3bX72xynttJf+Srh0BulcXeds0xS2ROXirrAnuTGmbcvpXqIY8Hoye7ds9lrd0/Jl6H++263CbrqEUyrVt7XQw0sZKmm3Tm+DD9h8g64PDCP7SDZ8jZDceZISMil2gxDYnp2UfmuNM9KxMCKtmFU4caafOmyM9JhublJ/+TqbVkmcJ/+6PMvj7PDZ3tW/XDvY+vbsASBPMa37aCTTwV0JslAC6jbXCehx+psZNCxu62Ul0bNOWZTrtu+ypZdz2SNl2NGb1vZPLl9h2yKJT9RTNuqqqjQudcqV1LDot73Vp0rsLPPSUzPs35ud9g6f13Its5+lSZuMB4rpMvZrOsCfSxa1pXyEzK4XrehZzy/ufH79nr78Hr/ReA0/dmybZXlUXbK8mfdRFeINgNx5m6npGhUe2rvC5KcSrx9tu68afS+o8Vfu5/ZWbNdXbjDpywTfsOMoe6NKmkW2zVKZ9dsJXicfDpJzG/uPR9pAwauDesEIA9pkfvkmz6cpUsV22g8eVnxTr7MjV+N+Z6LMX5zU6vTicmX46TTeA8BdOufeZJ1GICzdbMwxP/mGLDORTGrYC2nzs5pOV9zu7s2M1hnub78OVb87hQaeuvLz8wXzJ9B8nMPSG7USyACHYjGQfa3tyGRgGZmbJyaY++Msef4fzG63o6v03fyvIGwg83HD4ogpfCL73gdREAeMjsOVJm8QW7J+1FSmbKgTKHH+91MXJnWUU1MaIXTIWNlB0eMX0GyhyxsASCN0Z53VgG9bov1TWz3+ObA4ZGRs/26JNx0XA44esJ8gSVXkh4QGSOOEnh3/7co8LkozAHqTV7QRZLB7XhgNMIdsPHaKhQWKZbT1lLr5aqCzeBjD/YuPr2xeEYWwi/3zG4wHj4/kvw4wb8yBo/1esieCS7Rsg68ay89maOOEnh3/9a1tFL8tpOzkJlUuMOl3fiYc7u9Au6Wgy/sGJ6ZVtHnKTG6y8obAFy7o1dyO8nqHUhVbA7VW96f7xP63s3SOFGmZS5xVPzZ7Yar2c4zWIS2IOOlOm2hxpX3C7r1PPVeNd1LhbMxxw5FnxZGeEBsrPDx2ioUHhm2GiZnn29Lob7sr6Y8MGFuE9uBpIrQHvl57fvFJp9AD5gHTxf1o/+W6ZXv+QLDBzqbgEKcb4reHSqFE5iTbL8aE2fge6UI5d61NlH6X9cOw4crvuJx1KqYlfXOLtfhxlj0ge603wdJk3e+5KVrv62r265+Kjxsm5/SGZkzOTKLTbhwjGRzyadTtk9ZqKzG0RJo2c3WvLno1mXleJ79kgoJO3a5cLkkshOANOYxHK7ncpn+377rJxQkucFAL7hShOUvq1OG/Rp087hsrTYubvbl/zbrhfjOTRbbn43XeqkzzdIe45M+mdr4dkK//fPZPY/1PYmzZwUc9XkmcUksFIcv2bSzAIXxE0JX+zwfaTh+8j0HuBNcXwpTVs2aK/ka1ge9EXN6xh1tr02rSsc3R5KG8Fu+BgXu8XIuvQWNT75sKx5J3pdlNJW2V4aPVFSWKq0MZmsL24+g5nGxOw3y6kt5b+JnG+gg/N5AyhCdtquEWOl1f+Uho12vzxus/xwzoV33DvnWsuuV3jVX2SmHpz076a6k8wZF6XeQML1oBm7n6zJBzhZxN3bnn20wr99QGbf6U5v2eHt2du8CWWfHqQgHHi4ZkIhhc650oHCFJF0PeGNkcZMlF5eVbjyOG30vl6XIDluWdCEYDf8q12l1yXwp2yDVa3bSNu/dacsOTC9+in0nYu9LkbJM8YE73soaJrILHeW5rg0eeaO3b2h2DIVayCEK1TAUXYeZhYJa/YC6bjTpY6dXN+Xqeuh8Op/urf9fSYrvPIpqWcf6eN1kRcd6O1rDlmg8B8edmx72e28sLtDcqami8yhKXpi56KmS5qd5felm4OOkBmxj9QtaBPIu1DZh+8jvf6So5s0+81SeP2/pUHD7K7h6P5d53lHnSxydntZ1hx3bdq198FnDKRGsBtJ+CPYYB13uhq//krWjDnu78wfb9kV1nnXqPGBH8lacKrXRQFKkjsXsC41Wly0AkXBLL5Aeu1FmRn2UxH4ijEJwdjMbZ7pN9i98jQbMkKmZx+ZOccq/NTjru3GHL1YGrCnzPB91Hi+gyPharvF/FLEF78oCsYYqUdvr4uRPaevpbrtITNirMIOB7utk852dHtIUKTX1Oa07yn8wp9l5p2k8FOPeV0cICWC3fAtU9NFoYtuKtDOCrObvNR2kz7/VOrdP6vVTP8hCl17t0uFcplf80mWIj9csMWWwddVw63PysMZyn39eQNIZI2fKo2f6nUxnONxG2SWLFP4pedlLTpXpqKt+/trXSEzcYYLWw4n/bEgbF5HmP1nK/zI/dJee7tcoBLgyrWbD64H/c7pz72q2tnt5coP9wLZaOvvUeJGJnMznPiZ++A7sMZOlsZOliSFvS9OC6bPQK8vGeATBLsBSQr5/1Cwrr1H2tUg06q110VBSfLD1UxssNvPlzF+LluuivE9AfCtFj273diH/UWtcVOkcVPiXzvvWjXeRo5ap5mZh8sMHCb1DGCPXqeEyh3ZjHXi2Wq89XKZQ492ZHvJpTtO/XDtWHhm8kyFn3goixUC+Dn5+DrcnHqetLlexm/pb+JG1sAtpnd/Wct+INV09roo8JgH073C78xBR0b+Tbio9yvritvy34hfJwyJYUIhAt3wjh+uw/1QBi+Vwvv38c0TgAJqEfzxX9tgho5ycALiAglAG2ssS6bvQJnyVl4XxTOm3Jlgt+nRS9Z/PSBr+mxHtgd7THUn5wObQQyIe8SaMF3WgfO8LkYcc8q5si660etiuMCf9dIMHibTpc7rYsBj/u/OioIzc46VGTFO2qOP10WxxfTKLq1HUgHo2V2SAnBTVjK4yM6JOfkcBzfm0XfQqrXM2P282TeAEpXQ3vn0esCMnxqZSLIgHP4MCv6Zch3hhSBOfOcWM2mGwv98XmbqQc5uONmx5OTDGp+0f3F1ySdlykn3XtInHxW05681cf+C7auguD+Ej9GzGy1Ee1SUOdOrIBAC0LMb8JYfLmZiyxCMi2xr0kyvixAvy4/NzD1B1h2/kqmscqc8AJCMH045NpjBw2WOP8PrYtiX5aSfjiIoUhw613pdgpxZJy+Vded/y3To6HVRshQOTJsYBNY5V8rsf6isC673uigAXESwG5Do2Q1k4oeL7MDcKAelnPaYMtpHAP5ijj3N6yJEmakHyxx+vKwzL/W6KNkpcKzbOuIkSZLJMr2AmTHHjeK4LBgP5HNhJs6IprwMIkMHp5JnOtXKOvY0GXJoA0WNYDcgEez2qyAPkctW+w5elyADnwVwS6hq7Oaz7wAAXJMhjUlF28IVJQNjjKxDj5bZe4LXRclSYU+kpt9gWff8Rtb8U7JazzpmiUslQi5MKCTryIVeFwMIvsB04kmnGN4DihXBbkAijQk8Z4aMiPzQttLbgqTihwuyAhbBDN8n8kO79oXbaSY++ApcV0oPuACklumc44dzUtB50N6W8qSTRSttNeI4tSVTe8a1EVyVx3HKIQ4fozsrIBHshufMCd+RevSWGTfF66IkZYaNUfiZ30ue5vIv3BWVmXm41KlWZuBeBdtnVnK97+GGCQVk5p6g8OO/8LoYCKJCNPdBC5jTfCNognaM+RqfZdHxzfHByQXFiZ7dgEQaE3jOtK2UNXuBTJc6r4uS3LDRsi78gayb7vO6JE3cvTAzZWWyxu4nU12Tw8rOl8flDQOusGYvkLXsB14XAwFknXpB/As8qHMeHyngnoRApnXGxblvKyz/TapJm1wgPr/2dzlgbw47ztXto7gR4QMkgt1ABsYYadAwrwux++dSvMiOff+FuvYtxc8ZgOesMROlux9R41lHeV2U4hLXptO+wwnUo6Rij7X+Q2TGTMxnY9KIsTIHHSnTZ0DeRUOB+Kbndia7y2ldfmuW80i5+x6tOce4un0UNyJ8gEQaEyAATFyw27tyxGlfLX1VL/Ud5HVJbPLLB5cCwfXi07W71yVAQJlWrWN+o21wHO2ta8ysuV4XAQWV77GUOWBojJHx1cSgtB8Z9RskDdpLprNPR+0mYXrzMAXFg2A3INGz27e4kIK/hS6+SW1efFbfTj7Q/Z150kGEYxD5MdU1sq66Q2rTzuuiIMgyNUWB6UHntbBU3Umq/0Lac6TXhSmsQtWRNu1k5p5QmH35QprPtZQPy5j6ZvoMzG9bPJgKJGOFFLrwBq+LkZlVygcqihkRPkCiZzeAnJiu3dXxtAu0bf16hZtvRgpxQ53zfU+GshEwggtMz75eFwFFzsyYk8tajpcjCKyLb1b473+VmXaw10UpTv0GyVildF9BIDYTM+9Er4sApGQ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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ni225.pct_change().plot(\n",
" figsize=(18, 8), title=\"Daily Percentage Change in Nikkei 225 Index\"\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "0ff2c3ad-f0c0-4931-bff6-5b5e39d20cc4",
"metadata": {},
"source": [
"There are periods of high volatility and periods of tranquility. Because volatility comes in cluster, the variance of daily percentage change can be forecasted, even though the price itself is difficult to forecast.\n",
"\n",
"The volatility of asset price in the context of finance tells two things: \n",
"1. the risk of owning the asset. \n",
"2. the value of some financial derivatives depends on the value of underlying assets, such as options.\n"
]
},
{
"cell_type": "markdown",
"id": "bd18529d-5233-4bd9-9e10-166b650cb98b",
"metadata": {},
"source": [
"## ARCH Model "
]
},
{
"cell_type": "markdown",
"id": "1fb013cc-fc51-4adb-a91b-0080b9eb2e74",
"metadata": {},
"source": [
"The most famous model of volatility clustering is **autoregressive conditional heteroskedasticity (ARCH)**. For instance, an $\\text{ARCH(1)}$ is\n",
"$$\n",
"\\sigma_t^2 = \\alpha_0 + \\alpha_1u_{t-1}^2 \n",
"$$\n",
"where $u$ is the error term of any time series model, such as $\\text{ARMA}$, $\\sigma_t^2$ represents the variance of error term.\n",
"\n",
"The more general $p$-order ARCH is\n",
"$$\n",
"\\sigma_t^2 = \\alpha_0 + \\sum_{i=1}^p\\alpha_iu_{t-i}^2=\\alpha_{0}+\\alpha_{1} u_{t-1}^{2}+\\alpha_{2} u_{t-2}^{2}+\\cdots+\\alpha_{p} u_{t-p}^{2}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "3f89552c-f8cf-4e8b-a013-9f55c4c7a420",
"metadata": {},
"source": [
"## GARCH Model "
]
},
{
"cell_type": "markdown",
"id": "b5d089db-fc2b-4239-beeb-c2c7e4b5314a",
"metadata": {},
"source": [
"The generalized ARCH (GARCH) simply extend the ARCH to include lagged $\\sigma$ itself into the model, an $\\text{GARCH(1, 1)}$ is\n",
"$$\n",
"\\sigma_t^2 = \\alpha_0 + \\alpha_1u_{t-1}^2 +\\phi_1\\sigma_{t-1}^2\n",
"$$\n",
"Similarly, $\\text{GARCH(p, q)}$\n",
"$$\n",
"\\sigma_t^2=\\alpha_0 + \\sum_{i=1}^p\\alpha_iu_{t-i}^2+\\sum_{i=1}^p\\phi_i\\sigma_{t-i}^2=\\alpha_{0}+\\alpha_{1} u_{t-1}^{2}+\\cdots+\\alpha_{p} u_{t-p}^{2}+\\phi_{1} \\sigma_{t-1}^{2}+\\cdots+\\phi_{q} \\sigma_{t-q}^{2}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f0835e98-886c-4df1-a753-740cb58e03be",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}