{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 15 - Synthetic Control\n",
"\n",
"## One Amazing Math Trick to Learn What can’t be Known\n",
"\n",
"When we looked at difference-in-difference, we had data on multiple customers from 2 different cities: Porto Alegre and Florianopolis. The data span 2 different time periods: before and after a marketing intervention was done in Porto Alegre to boost customer deposits. To estimate the treatment effect, we ran a regression that gave us the difference-in-difference estimator and its standard error. \n",
"\n",
"For that case, we had a lot of samples, because data was disaggregated. But what if all we have is aggregated data on the city level? For instance, let's pretend all we have is the average level of deposits in both cities before and after the intervention.\n",
"\n",
"|city|before|after|\n",
"|--|--|--|\n",
"|FL|171.64|206.16|\n",
"|POA|46.01|87.06|\n",
"\n",
"We would still be able to compute the Diff-in-Diff estimator \n",
"\n",
"$\n",
"(E[Y(1)|D=1] - E[Y(1)|D=0]) - (E[Y(0)|D=1] - E[Y(0)|D=0]) = (87.06 - 206.16) - (46.01 - 171.64) = 6.53\n",
"$\n",
"\n",
"However, note that the sample size here is 4, which is also the number of parameters in our Diff-in-Diff models. In this case, the standard error is not well defined, so what should we do? Another problem is that Florianopolis might not be as similar to Porto Alegre as we would want to. For instance, Florianopolis is known for its beautiful beaches and easy going people while Porto Alegre is more famous for its barbecue and prairies. The problem here is that you can't ever know for sure if you are using an appropriate control group. \n",
"\n",
"To work around this, we will use what is known as [**\"the most important innovation in the policy evaluation literature in the last few years\"**](https://www.aeaweb.org/articles?id=10.1257/jep.31.2.3), Synthetic Controls. It is based on a simple, yet powerful idea. We don't need to find any single unit in the untreated that is very similar to the treated. Instead, we can forge our own as a combination of multiple untreated units, creating what is effectively a synthetic control. Synthetic control is so effective yet so intuitive that it even got an article published, not on a scientific journal, but on the [Washington Post](https://www.washingtonpost.com/news/wonk/wp/2015/10/30/how-to-measure-things-in-a-world-of-competing-claims/)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"from matplotlib import style\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns\n",
"import statsmodels.formula.api as smf\n",
"\n",
"%matplotlib inline\n",
"\n",
"pd.set_option(\"display.max_columns\", 6)\n",
"style.use(\"fivethirtyeight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To see it in action, consider the problem of estimating the effect of cigarette taxation on its consumption. To give a bit of context, this is a question that had been debated for a long time in economics. One side of the argument says that taxes will increase the cost of cigars, which will lower its demand. The other side argues that since cigarettes cause addiction, change in their price won't change their demand by much. In economic terms, we would say that the demand for cigarettes is inelastic on price, and an increase in taxation is just a way to increase government income at the cost of smokers. To settle things, we will look at some US data regarding the matter.\n",
"\n",
"In 1988, California passed a famous Tobacco Tax and Health Protection Act, which became known as [Proposition 99](https://en.wikipedia.org/wiki/1988_California_Proposition_99). \"Its primary effect is to impose a 25-cent per pack state excise tax on the sale of tobacco cigarettes within California, with approximately equivalent excise taxes similarly imposed on the retail sale of other commercial tobacco products, such as cigars and chewing tobacco. Additional restrictions placed on the sale of tobacco include a ban on cigarette vending machines in public areas accessible by juveniles, and a ban on the individual sale of single cigarettes. Revenue generated by the act was earmarked for various environmental and health care programs, and anti-tobacco advertisements.\" \n",
"\n",
"To evaluate its effect, we can gather data on cigarette sales from multiple states and across a number of years. In our case, we got data from the year 1970 to 2000 from 39 states. Other states had similar Tobacco control programs and were dropped from the analysis. Here is what our data looks like."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
state
\n",
"
year
\n",
"
cigsale
\n",
"
retprice
\n",
"
california
\n",
"
after_treatment
\n",
"
\n",
" \n",
" \n",
"
\n",
"
62
\n",
"
3
\n",
"
1970
\n",
"
123.000000
\n",
"
38.799999
\n",
"
True
\n",
"
False
\n",
"
\n",
"
\n",
"
63
\n",
"
3
\n",
"
1971
\n",
"
121.000000
\n",
"
39.700001
\n",
"
True
\n",
"
False
\n",
"
\n",
"
\n",
"
64
\n",
"
3
\n",
"
1972
\n",
"
123.500000
\n",
"
39.900002
\n",
"
True
\n",
"
False
\n",
"
\n",
"
\n",
"
65
\n",
"
3
\n",
"
1973
\n",
"
124.400002
\n",
"
39.900002
\n",
"
True
\n",
"
False
\n",
"
\n",
"
\n",
"
66
\n",
"
3
\n",
"
1974
\n",
"
126.699997
\n",
"
41.900002
\n",
"
True
\n",
"
False
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" state year cigsale retprice california after_treatment\n",
"62 3 1970 123.000000 38.799999 True False\n",
"63 3 1971 121.000000 39.700001 True False\n",
"64 3 1972 123.500000 39.900002 True False\n",
"65 3 1973 124.400002 39.900002 True False\n",
"66 3 1974 126.699997 41.900002 True False"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cigar = (pd.read_csv(\"data/smoking.csv\")\n",
" .drop(columns=[\"lnincome\",\"beer\", \"age15to24\"]))\n",
"\n",
"cigar.query(\"california\").head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have `state` as the state index, where California is the number 3. Our covariates are `retprice`, the cigarette retail price, and `cigsale`, the per-capita sales of cigarettes in packs. Our outcome variable of interest is `cigsale`. Finally, we have boolean helper variables to signal the state of California and the post intervention period. If we plot the sales of cigarettes for California and other states across time, this is what we would get."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = plt.subplot(1, 1, 1)\n",
"\n",
"(cigar\n",
" .assign(california = np.where(cigar[\"california\"], \"California\", \"Other States\"))\n",
" .groupby([\"year\", \"california\"])\n",
" [\"cigsale\"]\n",
" .mean()\n",
" .reset_index()\n",
" .pivot(\"year\", \"california\", \"cigsale\")\n",
" .plot(ax=ax, figsize=(10,5)))\n",
"\n",
"plt.vlines(x=1988, ymin=40, ymax=140, linestyle=\":\", lw=2, label=\"Proposition 99\")\n",
"plt.ylabel(\"Cigarette Sales Trend\")\n",
"plt.title(\"Gap in per-capita cigarette sales (in packs)\")\n",
"plt.legend(); "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"During the time for which we have data, people in California apparently bought less cigarettes than the national average. Also, it appears to be a decreasing movement in cigarette consumption after the 80s. It looks like after Proposition 99 the decreasing trend accelerated for California, compared to other states, but we can't say that for sure. It is just a guess that we have by examining the plot. \n",
"\n",
"To answer the question of whether Proposition 99 had an effect on cigarette consumption, we will use the pre-intervention period to build a synthetic control. We will combine the other states to **build a fake state that resembles very closely the trend of California**. Then, we will see how this synthetic control behaves after the intervention. \n",
"\n",
"## We have Time\n",
"\n",
"To make matters a little bit more formal, suppose that we have $J+1$ units. Without loss of generality, assume that unit 1 is the unit that gets affected by an intervention. Units $j=2,...,J+1$ are a collection of untreated units that we will refer to as the \"donor pool\". Also assume that the data we have span T time periods, with $T_0$ periods before the intervention. For each unit j and each time t, we observe the outcome $Y_{jt}$. For each unit j and period t, define $Y^N_{jt}$ as the potential outcome without intervention and $Y^I_{jt}$, the potential outcome with intervention. Then, the effect for the treated unit $j=1$ at time t, for $t>T_0$ is defined as \n",
"\n",
"$\n",
"\\tau_{1t} = Y^I_{1t} - Y^N_{1t}\n",
"$\n",
"\n",
"Since unit $j=1$ is the treated one, $Y^I_{1t}$ is factual but $Y^N_{1t}$ is not. The challenge then becomes how do we estimate $Y^N_{1t}$. Notice how the treatment effect is defined for each period, which means it can change in time. It doesn't need to be instantaneous. It can accumulate or dissipate. To put it in a picture, the problem of estimating the treatment effect boils down to the problem of **estimating what would have happened to the outcome of unit $j=1$ if it had not been treated**.\n",
"\n",
"![img](data/img/synth-control/synth_img.png)\n",
"\n",
"To estimate $Y^N_{1t}$, we remember that a combination of units in the donor pool may approximate the characteristics of the treated unit much better than any untreated unit alone. Thus, a synthetic control is defined as a weighted average of the units in the control pool. Given the weights $\\pmb{W}=(w_2, ..., w_{J+1})$, the synthetic control estimate of $Y^N_{1t}$ is\n",
"\n",
"$\n",
"\\hat{Y}^N_{1t} = \\sum^{J+1}_{j=2} w_j Y_{jt}\n",
"$\n",
"\n",
"If all this math makes your head hurt, you are not alone. But don't worry, we have lots of examples to make it more intuitive. For once, I like to think about synthetic control as an upside down way of doing regression. As we know, linear regression is also a way of getting the prediction as a weighted average of the variables. Now, think about those regressions like the one in the diff-in-diff example where each variable is a dummy for a time period. In this case, regression can be represented as the following matrix multiplication\n",
"\n",
"![img](data/img/synth-control/regr_time.png)\n",
"\n",
"On the synthetic control case, we don't have lots of units, but we do have lots of time periods. So what we do is flip the input matrix around. Then, the units become the \"variables\" and we represent the outcome as a weighted average of the units, like in the following matrix multiplication.\n",
"\n",
"![img](data/img/synth-control/regr_space.png)\n",
"\n",
"If we have more than one feature per time period, we can pile up the features like this. The important thing is to make it so that the regression is trying to \"predict\" the treated unit 1 by using the other units. This way, we can choose the weights in some optimal way to achieve this proximity we want. We can even scale features differently to give different importance to them.\n",
"\n",
"![img](./data/img/synth-control/regr_space_x.png)\n",
"\n",
"So, if synthetic control can be viewed as a linear regression, it also means that we can estimate its weights with OLS right? Yup! In fact, let's do this now.\n",
"\n",
"\n",
"## Synthetic Control as Linear Regression\n",
"\n",
"![img](./data/img/synth-control/allways.png)\n",
"\n",
"To estimate the treatment effect with synthetic control, we will try to build a \"fake unit\" that resembles the treated unit before the intervention period. Then, we will see how this \"fake unit\" behaves after the intervention. The difference between the synthetic control and the unit that it mimics is the treatment effect.\n",
"\n",
"To do this with linear regression, we will find the weight using OLS. We will minimise the square distance between the weighted average of the units in the donor pool and the treated unit for the pre-intervention period.\n",
"\n",
"To do so, the first thing we need is to convert the units (in our case, the states) into the columns and the time into the rows. Since we have 2 features, `cigsale` and `retprice`, we will pile them on top of each other like we did in the picture above. We will build a synthetic control that looks a lot like California in the pre intervention period and see how it would behave in the post intervention period. For this reason, it is important that we select only the pre-intervention period. Here, the features seem to be on a similar scale, so we won't do anything to them. If features are in different scales, one in the thousands and another in the decimals, the bigger feature will be the most important when minimizing the difference. To avoid this, it's important to scale them first."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
state
\n",
"
1
\n",
"
2
\n",
"
3
\n",
"
...
\n",
"
37
\n",
"
38
\n",
"
39
\n",
"
\n",
"
\n",
"
\n",
"
year
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
cigsale
\n",
"
1970
\n",
"
89.800003
\n",
"
100.300003
\n",
"
123.000000
\n",
"
...
\n",
"
114.500000
\n",
"
106.400002
\n",
"
132.199997
\n",
"
\n",
"
\n",
"
1971
\n",
"
95.400002
\n",
"
104.099998
\n",
"
121.000000
\n",
"
...
\n",
"
111.500000
\n",
"
105.400002
\n",
"
131.699997
\n",
"
\n",
"
\n",
"
1972
\n",
"
101.099998
\n",
"
103.900002
\n",
"
123.500000
\n",
"
...
\n",
"
117.500000
\n",
"
108.800003
\n",
"
140.000000
\n",
"
\n",
"
\n",
"
1973
\n",
"
102.900002
\n",
"
108.000000
\n",
"
124.400002
\n",
"
...
\n",
"
116.599998
\n",
"
109.500000
\n",
"
141.199997
\n",
"
\n",
"
\n",
"
1974
\n",
"
108.199997
\n",
"
109.699997
\n",
"
126.699997
\n",
"
...
\n",
"
119.900002
\n",
"
111.800003
\n",
"
145.800003
\n",
"
\n",
" \n",
"
\n",
"
5 rows Ă— 39 columns
\n",
"
"
],
"text/plain": [
"state 1 2 3 ... 37 38 \\\n",
" year ... \n",
"cigsale 1970 89.800003 100.300003 123.000000 ... 114.500000 106.400002 \n",
" 1971 95.400002 104.099998 121.000000 ... 111.500000 105.400002 \n",
" 1972 101.099998 103.900002 123.500000 ... 117.500000 108.800003 \n",
" 1973 102.900002 108.000000 124.400002 ... 116.599998 109.500000 \n",
" 1974 108.199997 109.699997 126.699997 ... 119.900002 111.800003 \n",
"\n",
"state 39 \n",
" year \n",
"cigsale 1970 132.199997 \n",
" 1971 131.699997 \n",
" 1972 140.000000 \n",
" 1973 141.199997 \n",
" 1974 145.800003 \n",
"\n",
"[5 rows x 39 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"features = [\"cigsale\", \"retprice\"]\n",
"\n",
"inverted = (cigar.query(\"~after_treatment\") # filter pre-intervention period\n",
" .pivot(index='state', columns=\"year\")[features] # make one column per year and one row per state\n",
" .T) # flip the table to have one column per state\n",
"\n",
"inverted.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we can define our Y variable as the state of California and the X as the other states."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"y = inverted[3].values # state of california\n",
"X = inverted.drop(columns=3).values # other states"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we run a regression. Having an intercept is equivalent to adding another state where every row is 1. You can do that, but I think it's more complicated and I'll just leave it out. The regression will return the set of weights that minimize the square difference between the treated unit and the units in the donor pool."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.436, -1.038, 0.679, 0.078, 0.339, 1.213, 0.143, 0.555,\n",
" -0.295, 0.052, -0.529, 1.235, -0.549, 0.437, -0.023, -0.266,\n",
" -0.25 , -0.667, -0.106, -0.145, 0.109, 0.242, -0.328, 0.594,\n",
" 0.243, -0.171, -0.02 , 0.14 , -0.811, 0.362, 0.519, -0.304,\n",
" 0.805, -0.318, -1.246, 0.773, -0.055, -0.032])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"weights_lr = LinearRegression(fit_intercept=False).fit(X, y).coef_\n",
"weights_lr.round(3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These weights show us how to build the synthetic control. We will multiply the outcome of state 1 by -0.436, of state 2 by -1.038, of state 4 by 0.679 and so on. We can achieve this with a dot product between the matrix from the states in the pool and the weights."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"calif_synth_lr = (cigar.query(\"~california\")\n",
" .pivot(index='year', columns=\"state\")[\"cigsale\"]\n",
" .values.dot(weights_lr))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have our synthetic control, we can plot it with the outcome variable of the State of California."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArQAAAGDCAYAAADaqYNSAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAACp3ElEQVR4nOzdd1yVZRsH8N9zFkvgsEGmAuIGVERxg9vQTM1RjsrMkSNzlmmWvmqae5alVpamufcASVFxgVtEkSnI3uPM9w/y4MMBPMA5nANc38/n/bw997MublEu7nPf181kZWXJQQghhBBCSB3F0XYAhBBCCCGE1AQltIQQQgghpE6jhJYQQgghhNRplNASQgghhJA6jRJaQgghhBBSp1FCSwghhBBC6jRKaAkhhBBCSJ1GCS0hhBBCCKnTqpXQ5uXlIT8/X92xEEIIIYQQUmU8VS4KCQnBiRMnEBYWhqdPn0IkEgEABAIBmjVrBl9fX7zzzjvo0aOHRoMlhBBCCCGkLKairW/FYjF27dqFzZs3Iz4+HmZmZvD09ISLiwuEQiHkcjmysrIQGxuLu3fvIjMzEw4ODvj888/x8ccfg8/n1/bXQgghhBBCGqAKE9rWrVtDJBJh9OjRGDp0KLy8vCp9UEREBA4fPox9+/ZBIBDg/v37moiXEEIIIYQQlgoT2p07d+LDDz+Evr5+lR5YXFyM33//HRMnTlRLgIQQQgghhFSmwkVhEydOrHIyCwB6enqUzL4hKipK2yE0WNT32kH9rj3U99pDfa891Pfao0t9X+OyXcnJyYiMjFRHLIQQQgghhFSZygnt7t27MXXqVFbb3Llz0bJlS3Tu3Bndu3dHenq62gMkhBBCCCGkMiontL/88gsMDQ0Vx5cvX8bOnTsxfPhwLF68GNHR0VizZo1GgiSEEEIIIaQiKtWhBYDY2FiMHz9ecXz48GHY29tj+/bt4HA4yM7OxuHDh7FixQqNBEoIIYQQQkh5VE5opVIpq7ZscHAwevfuDQ6nZJC3adOmSE5OVn+EhBBCCKkxiURSL3f51NfXR3Z2trbDaJA00fdGRkbg8VROTxVUvsPZ2RkhISEYP348wsPDERMTg6VLlyrOp6SkwNjYuMoBEEIIIUSzJBIJcnNzIRQKwTCMtsNRKz09vWpVZSI1p+6+f71pl7GxcZWTWpWv/vjjjzF37lw8efIEL1++hL29Pfr27as4f/36dTRv3rxKLyeEEEKI5uXn59fLZJbULwzDQCgUIicnB6amplW6V+WEduLEiRAIBDh37hy8vLwwa9YsRVaemZmJ1NRUfPzxx1WLnBBCCCG1gpJZUhdU9/u0SuO548aNw7hx45TazczMcOnSJUil0moFQQghhBBCSHWpXLZr7dq1lZ4vLi7GBx98UKWXh4aGYtSoUWjRogWEQiH27t1b4bWzZs2CUCjEpk2blN47d+5cNG3aFI0bN8aoUaOQmJhYpTgIIYQQQkjdpXJC+/3332PHjh3lnisoKMD777+PkJCQKr08Pz8fLVu2xMqVK2FgYFDhdUePHsXt27dhZ2endG7hwoU4fvw4fvnlF5w6dQq5ubkYOXIkjRYTQgghBEBJ7XyhUKjYAKrsMQCcPHkS7dq1g4WFBaZMmaLRePbu3Qt7e3uNvqOhUTmhXbZsGRYuXIg9e/aw2nNycvDuu+/i1q1b2LdvX5Ve3rdvXyxevBhDhgxRlP8qKy4uDgsWLMDOnTuVVrxlZ2fj999/x3fffYdevXrBy8sLO3bswMOHD3Hp0qUqxUIIIYQQ3ZSSkoL58+fDy8sL1tbWaNGiBYYPH45z585V63m+vr6IjIyEubm5om369OkYPHgw7t+/j5UrV6or9HK99957iIiI0Og7GhqV59BOmzYNhYWFmD17NgwMDPD+++8jPT0dQ4cORWxsLA4dOgRfX1+1BieRSDBx4kTMmTMHHh4eSucjIiIgFovh7++vaHNwcICHhwfCwsIQEBCg1ngIIYQQUrtiY2PRv39/NGrUCEuWLEHr1q0hk8kQEhKC2bNn49atW1V+pkAggI2NjeI4KysLGRkZ8Pf3R+PGjasdq0gkgkAgeOt1BgYGlX4yTaquSovC5syZg8LCQkybNg05OTnYuXMn0tLScOzYMXh6eqo9uBUrVsDc3ByffPJJuedTUlLA5XJhYWHBareyskJKSkqFz42KilJrnG9T2+8jpajvtYP6XXuo77VHl/teX18fenp62g6jWr744gvI5XKcOXMGRkZGivZx48ZhyJAhAID169dj//79iImJgampKfz9/bFkyRJF6SeRSAQAKCoqQlFREUJDQzFs2DA8fPgQT548wbBhwwAAgwcPBgD8888/6NKlC06ePInVq1cjOjoalpaWGDduHGbOnKlYid+hQweMHDkSiYmJOHXqFLp3747evXvjq6++wp49e7Bo0SLExcXB29sb69atg7OzMwBg3759+OqrrxAdHQ0AiImJwZIlS3Dnzh3k5eXBzc0Nc+fOZZVH1VVFRUVqf2ZOTk65eZy7u3uF91R5K4ZvvvkGBQUFmDdvHmxtbXHq1Ck0a9asqo95q8uXL+PPP//E5cuX1f7syjpE3aKiomr1faQU9b12UL9rD/W99uh632dnZ5dbAF+4q3YXUWd9VLV5o5mZmQgODsaiRYuUBq+AkkS9qKgIAoEAK1euhIuLC+Lj4zFv3jx88803+OmnnwBAMWqqr68PfX191nG3bt1w/fp1dOrUCb/99ht8fX1hZmaGR48e4dNPP8WcOXPw/vvv486dO/jiiy9gZmaGzz77DEBJiamffvoJc+bMwbx58yCXy3H9+nWIRCJs3rwZW7duhZ6eHqZMmYKFCxfi0KFDAAA+nw+GYRR/JmKxGP369cPixYthYGCAQ4cO4ZNPPkFoaKhGcix1KSoq0simFiYmJnB0dKzSPRUmtF9++WWlNxoZGaFly5ashWIMw2DNmjVVCqAiV65cQXJyMmuqgVQqxZIlS7Bt2zY8evQI1tbWkEqlSE9Ph6WlpeK61NRUdO7cWS1xEEIIIUQ7oqOjIZfL35rUTZ06VfHfzs7O+O677zBmzBhs3769wjU6rwkEAlhZWQEoKUP6eirCli1b0KVLF3z11VcAADc3Nzx//hwbNmxQJLQA4Ofnh5kzZyqOr1+/DolEgjVr1ih+yZk+fTo+//xzyOXycuustmnTBm3atFEcz5kzB2fOnMHRo0cxd+7cSuMnJSpMaH/99de33nzx4kXWsToT2okTJyo+Snht2LBhGDZsGMaPHw8A8PLyAp/PR3BwMEaMGAEASExMRGRkpNrn8xJCCNGukRdKVqTv7608UkfqJ7lcrtJ1ISEhWLduHZ4+fYqcnBxIpVKIRCK8evWq3ApJqoiMjFT6yL9z585YtWoVcnJyYGJiAgDw9vZWuldPT481Ym9rawuRSISsrCyYmZkpXZ+fn49Vq1bh7NmzSE5OhkQiQVFREVq1alWt2BuiChPazMxMjb88Ly9PMX9EJpMhISEB9+7dg5mZGRwdHRW/Mb3G4/FgY2Oj+CYxNTXF2LFjsWTJElhZWcHMzAxff/01WrVqhZ49e2o8fkIIIbXnbLz65+oR3ebq6gqGYfD06dMKr4mPj8fIkSMxbtw4fPXVVzA3N8fdu3fxySefKObOqtubo6xvzut9rWxVptfXy2Sycp/3zTff4MKFC/j+++/h6uoKQ0NDTJ48WWPx10dVnkOrTuHh4QgMDFQcr1ixAitWrMDo0aOxbds2lZ6xYsUKcLlcfPTRRygqKkL37t2xfft2cLlcTYVNCCFEC/4KMH/7RaRKqjqntbaZmZkhICAAP//8Mz777DM0atSIdT4rKwt3796FSCRS5AMAcObMmRq/+3XFpDddu3YN9vb2MDY2rvHz33T9+nWMGjVK8cl0UVERXrx4AVdXV7W+pz5TOaG9fv06rl69itmzZ5d7ft26dejSpQs6duyo8su7deuGrKwsla+/f/++Upuenh5Wr16N1atXq/wcQgghdc8AJypz1BCtWbMG/fr1Q69evRSfwsrlcly+fBnr1q3Db7/9BplMhq1btyIwMBC3bt3C9u3ba/zeadOmwd/fHytWrMCIESNw584dbNmyBd98840avio2V1dXnDhxAgMHDgSfz8eqVatQXFys9vfUZypvrLBq1apyE8rXHjx4gFWrVqklKEIIIYQQAHBxcUFISAh69uyJJUuWoEuXLhg8eDBOnz6N9evXK3Yc3bp1q6JSwffff1/j93p5eWH37t04fvw4OnfujKVLl2LWrFmYNGmSGr4qtuXLl8PKygoDBw7EiBEj4OPjQ4vbq4jJyspSaca1q6sr5syZU+F2cNu3b8eaNWvw7NkztQZY1+l6KZf6jPpeO6jftae+9/3uyHwAwAQP5TmL2qbrfZ+dna2oyVrfaKp0FHk7TfV9db5fVZ5yUFBQUG6piTfl5eVV6eWEEEKIqmZdzQKgmwktIUS7VJ5y4ObmhqCgoArPX7hwAU2bNlVLUIQQQkhZ45sZYnwzQ22HQQjRQSontOPGjcP58+cxb948VkmvjIwMzJ07F0FBQRg7dqxGgiSEEEI2dDHDhi7KNTwJIUTlKQeffvop7t+/j59//hk7d+6EtbU1ACAlJQVyuRxjxoypcH4tIYQQQgghmlKlOrQbN27EiBEjcOzYMcTExAAoWX04ZMgQdO3aVRPxEUIIIQCApAIpAMDOkOqME0LYqryxQrdu3dCtWzdNxEIIIYRUqMX+ZAC6vxkAIaT2aXWnMEIIIURVtgYqL/sghDQwVUpoHz16hB07diAiIgI5OTlKexIzDIOIiAh1xkcIIYQAAJ6MstN2CIQQHaXyr7vXrl2Dv78/Tp8+DVtbW8TExMDFxQV2dnaIj4+HkZER/Pz8NBkrIYQQQgghSlROaJcvXw5HR0fcvHkTW7duBQDMnj0bZ86cwenTp5GYmIjhw4drLFBCCCGEkNpy+fJlCIVCpKenq/3ZsbGxEAqFCA8PV/uzdd3evXthb6/+efAqJ7QREREYO3YsTE1NweGU3PZ6yoGvry/Gjx+P5cuXqz1AQgghBAB6HEtBj2Mp2g6D1KK0tDR8+eWXaNOmDaytreHu7o7BgwcjODhYre8ZNGgQ5s6dq9ZnVvZsBwcHREZGok2bNjV69uXLlzFy5Eg0bdoUtra28PHxwdy5cxEbG1uj55YlFApx9OhRtT5T3VROaBmGUeyra2hYslNLRkaG4rybmxseP36s5vAIIYSQEnfTxbibLtZ2GKQWjR07Frdv38bmzZtx69Yt7N+/H3369GHlH3URl8uFjY0NeLzqr83ftWsXhgwZAjMzM+zevRthYWHYtGkT5HI51qxZo8ZoVSORSCCXy2v9va+pnNA6OTkpas/q6enB2dmZ9RvS1atXYW5urvYACSGEEAC4FGiFS4FW2g6D1JKsrCxcu3YN3377LXr06AEnJye0a9cO06dPx7BhwwAAq1atQo8ePZTu7devH+bNmwcAmDJlCkaOHIlt27ahRYsWcHZ2xtSpU1FQUKA4Hxoaip9//hlCoRBCoZA1wvngwQMEBATAzs4OPXv2VFr8HhYWhoEDB8LOzg4tWrTA7NmzkZOTU+mzy5ty8PTpU4waNQpOTk6wt7dHnz598PDhw3L7JjExEfPnz8fEiROxfft2dO/eHc7OzujUqRPWrFmD77//XnHtsWPH4OfnB2tra7Rq1Qpr1qxhJZ5t2rTB6tWrMWvWLDg6OqJly5bYuHEj6zwAjB8/HkKhUHG8YsUK9OjRA3v37oWXlxesra2Rn5+P+Ph4fPDBB3BwcICDgwM+/PBDJCYmvuVPu+ZU/tXA398fhw8fxpIlSwCUfGHfffcd4uLiIJfLceXKFcyaNUtTcRJCCGngvCwF2g6h3mk0vmetvi9vzyWVr23UqBEaNWqEU6dOoVOnTtDX11e65sMPP8QPP/yA27dvo3379gCAqKgohIWFsUYpr127BhsbGxw5cgSJiYmYMGEC3NzcMHv2bKxcuRLPnz+Hu7s7Fi9eDACwtLREXFwcAGDp0qX49ttvYWtriwULFmDSpEkICwsDwzB4+PAh3nvvPSxYsACbNm1CZmYmFi5ciM8//xy//fZbhc9OSEhgfR1JSUno378/fH19cfjwYZiamuL27duQSqXl9s2RI0cgEonwxRdflHteKBQCKJkuOmHCBMyZMwfvv/8+7ty5gy+++ALGxsb47LPPFNdv3boVCxcuxIwZM3D+/HnMnz8fnTp1QseOHREcHAw3Nzds3LgR/fr1A5dburFJXFwcDh48iN27d0MgEEAgEGDMmDEwMDDA8ePHAQBz587FBx98gODgYDAMU/EfeA2pnNB++eWXGDZsGMRiMfh8PmbNmgWpVIqjR4+Cy+ViwYIFmD17tsYCJYQQQkjDwePxsGXLFsycORN79uxB27Zt4evri3fffRcdOnQAANjb26NXr174448/FAntH3/8AS8vL9b8VGNjY6xbtw5cLhceHh549913ERISgtmzZ8PU1BR8Ph+GhoawsbFRiuPrr79G9+7dAQDz5s1D//798fLlS9jb22Pjxo0YOnQopk+frrj+xx9/RPfu3ZGamgorK6tKn/3azp07YWhoiD179kAgKPnFzc3NrcLro6OjYWJiAju7ykvZbdmyBV26dMFXX32leObz58+xYcMGVkLr7++PSZMmAQA+++wz7NixAyEhIejYsSMsLS0BAKampkpfg1gsxo4dO2BtbQ0ACA4OxsOHDxEeHg5nZ2fF1+bt7Y2QkBD07Nmz0nhrQuUpB0KhEF5eXuDz+QBK5tTOmTMHly9fxqVLlzB//nzFOUIIIUTdVoTnYEV4jrbDILVoyJAhePLkCfbt24fevXvjxo0b6N27N3788UfFNR9++CH++ecfFBYWQiqVYv/+/Rg7dizrOR4eHqyRRVtbW6SmpqoUQ6tWrVj3AVDce/fuXfz999+wt7dX/K9///4AgBcvXqj8dd67dw+dO3dWJLNvo+pc1cjISPj6+rLaOnfujJcvXyqmRQDsrxFQvX/s7OwUyezr99nZ2SmSWQCKEq9PnjxRKebqqtZs5OzsbMTHxwMAHB0dFYvFCCGEEE1ZFZELAFjobaLlSEht0tfXR69evdCrVy/Mnz8f06dPx8qVKzF9+nQIBAL07t0bhoaGOHbsGExMTJCdna1URrTsgBvDMConhW/e+/oj89f3ymQyjBs3DlOnTlW6722jpzXh6uqKnJwcJCUlVfs9b378X93+eV0koKrv04QqJbRhYWH49ttvERYWxmr39fXFkiVL0KlTJ7UGRwghhLw238tY2yHUO1WZ06orPDw8IJFIUFRUBIFAAB6PhzFjxuCPP/6AiYkJAgMDqzzQJhAIKpyvWhlPT088fvwYTZs2rdGz27Zti/3790MkEqk0SjtkyBAsXboU69atww8//KB0PisrC0KhEB4eHko527Vr12Bvbw9jY9X/PvH5fJX6x8PDA0lJSYiNjVWM0sbExCApKQnNmzdX+X3VoXJCe/HiRYwaNQqNGjXCJ598opjb8ezZMxw8eBCDBw/Gn3/+id69e2ssWEIIIQ0Xjcw2LBkZGRg/fjw+/PBDtGrVCo0aNUJERAQ2btyIHj16wMSk9Pth3LhxWL9+PTgcDg4dOlTldzk5OeH27duIjY1Fo0aNYGZmptJ9M2fORJ8+ffDFF19gwoQJMDY2xtOnT3HmzBmsX79e5Wd/8skn+PXXXxULuIRCIe7cuYNmzZqhbdu2Stc7ODjgf//7H+bOnYucnBx88MEHcHZ2RnJyMg4cOIDi4mJs3LgR06ZNg7+/P1asWIERI0bgzp072LJlC7755psq909ISAi6dOkCPT09xaKzsnr27IlWrVph0qRJWLlyJYCSeceenp6KeciaovIc2iVLlqBJkya4c+cOVq9ejc8++wyfffYZVq9ejdu3b8PJyQlLly7VZKyEEEIIaSCMjIzg4+OD7du3Y9CgQejcuTO+++47DB8+HLt27WJd6+Ligi5dusDBwQHdunWr8rteT1/o1KkTXF1dFdMq36Z169Y4deoU4uLi8M4776Br16747rvvYGVVWl5OlWc3btwYp06dglgsRmBgILp3746ffvqp0jq1EydOxJEjR5Ceno5x48bBx8dHMfVhzpw5AAAvLy/s3r0bx48fR+fOnbF06VLMmjVLsQBMVcuWLcPly5fRqlWrSvuXYRj8+eefsLCwQGBgIAIDA2FtbY29e/dqfMoBk5WVpdIkEltbW3zzzTeYNm1auec3bdqE5cuXIzk5Wa0B1nVRUVFwd3fXdhgNEvW9dlC/a0997/uINBEA3Szfpet9n52dXW/XuxQVFUFfXx++vr4YMWKEIpkjmve679WtOt+vKk85cHFxQX5+foXn8/PzWavaCCGEEHXqebxk1XXWR+rfB57UXWlpaTh79izi4uLw0UcfaTscoiUqJ7Tz58/Hl19+iYCAAEWtt9du3ryJn3/+mVVGgxBCCFEnTwsqDUmUtW7dGhYWFli3bh0sLCy0HQ7REpUT2itXrsDW1hZ9+vSBt7c3XF1dAQDPnz9HeHg4WrRogcuXL+Py5cuKexiG0cp+woQQQuqfkMHWb7+INDjJycka+dib1C0qJ7S//vqr4r/v3LmDO3fusM4/evQIjx49YrVRQksIIYQQQjRN5YQ2MzNTk3EQQgghhBBSLSqX7SKEEEK0qfm+JDTfl6TtMAghOqhaW98SUp/JZTKkJqUgJToWBfFxkGelg2trD+fOvrCyozl8hGhLcqFM2yEQQnQUJbSkwcrLzUPSsxjkxMZC8jIe+ikJMM9IhGPeSzSVFkNpI8OjQJSxAxKaeEPg6QM33/YwMjbSRuiENEiPR9pqOwRCiI6ihJbUaxKxBEkxCciIiUFRQjx4yfEwyUiEXXYibIuzUNUfj+65CXC/lwDcOw7RH1w8smyGdPd2ELbrCFevVuDx6a8UIZpiZ8jVdgiEEB1FP31JnSIRS5CbnYO8zBwU5uSgKCcH4pwcSPNyIc/PBZOfB15BLvQKsmGZmQijghS0kEs1EotALoVX6mMg9TFwdS+yeYZ4YNcaBS3aw66jLxxcncBwaJo6IYQ0RFOmTEFGRgb2799f4TWxsbHw9PREcHAwvL29azG6+ocSWqITEl/E4eWNW5BlZ4IpyAWvIA/8wlzoFeXBsDgfjUR5MBHlQygthLAW4snhGiDBpDEyzO0hNjKFVcITtMh4Bi4q3inaVFKATvE3gPgbwLltSDCwRLSTF9C6PVw6d4S5FRX8JqQmZoaWVNvZ0MVMy5GQ2jJlyhT89ddfAAAejwd7e3sEBgZi4cKFMDLS7SlfK1euhFxe+jNj0KBBaNmyJVavXq1oc3BwQGRkZK1sCHH48GH8+OOPeP78OSwsLDBp0iTMmDGDdc3PP/+Mn3/+GXFxcXBwcMCXX36J0aNHazw2daCElmhNQX4BHp0LgunV0/BOeQiPWn6/mOEiwdAaKcLGyLdyBGPnCEMnJ9g0cYGFjQWcOBw4vXF9ckY2osNuQnrvFlxiI+CSn1zp8x0K0+AQeQGIvAD8Azw2bYKkpl6AtR04BobgGhiCb2QEgaEh9BoZQt/ICAaNDGHUyBBcHv3VJKSsPU8LAFBC29D07NkTO3bsgFgsxrVr1zBjxgwUFBRg7dq1StdKJBJwuVwwDKOFSNlMTU3feg2Xy4WNjY3GYzl//jwmTpyIVatWoXfv3oiMjMTMmTOhr6+PSZMmAQB++eUXfPvtt9iwYQM6dOiA27dvY+bMmRAKhRgwYIDGY6wpJisrq+IhpzIiIyOxd+9exMTEICsri/WbB1CykcKxY8fUHmRdFhUVBXd3d22HoTPkMhme3X2E7HMn4P30X5hKCjT+zld6QiSZ2CHbwgESGwfoOTjBookLbJ0dwBdUfyvNlzEJSAy7AcHj22iecBcW4jy1xZzP0UM+Tx8FfAMU8fRRJDCAiG8AsZ4BJHoGkOkZQmZkDIvOXeHWtoXa3qsO9D2vPfW973dH5gMAJnjo3sicrvd9dna2SgmWrinvY/sZM2bg7NmziIyMxIoVK3DkyBHMmDEDq1evRlxcHOLi4pCZmYkFCxYgJCQEQElSvGrVKtjb2wMAVqxYgWPHjmHKlCn44YcfkJaWBn9/f2zatEkxWiqTybBmzRrs2bMHqampcHNzw9dff41BgwYpYlm1ahV+//13pKSkQCgUolevXtixY4dS7G+ONL929+5dAFCachAaGorFixfjwYMHMDExwfDhw7F06VIIBAIAJSO9zZs3h6mpKXbv3g0Oh4NRo0bhu+++A6eCaW4TJ05EYWEh9u7dq2jbsWMHNm7ciAcPHoBhGPTt2xft27fHihUrFNd8/fXXuH37Ns6cOVPuc4uKijSyS1t1vl9VHgbat28fpk2bBj6fDzc3NwiFQqVryia4hLyWlZaByJOn4XDrLLxz4mr2LJ4hcgSNkC8wQoFeIxTrN4LYoBGkhsaQGxmD08gY3EYmyOdw4OnXESZCE7ip6et4U2MXBzR2cQDwHmRSKcLvP0HG7ZsQPr2DVimPoS8TV/vZRrJiGImKAVF25Rde3YvgtoFoM/Vz6BvoVft9hNQFupjIktqnr68Psbj039e4uDgcPHgQu3fvhkAggEAgwJgxY2BgYIDjx48DAObOnYsPPvgAwcHBitHbuLg47N+/H3v37kVhYSFmzZqFadOmYd++fQCAbdu2YdOmTVi7di28vb2xf/9+jB07FpcuXULbtm1x9OhRbN68GTt37kTLli2RlpaGmzdvlhvzypUr8fz5c7i7u2Px4sUAAEtLSyQkJLCue/nyJUaMGIGRI0di69atePHiBWbMmAEOh4Ply5crrjtw4AA+++wznDt3Dvfv38fEiRPh5eWF4cOHl/v+4uJipcTTwMAAiYmJiIuLg7Ozc4XX3L59G2KxGHx+9QeAaoPKCe3KlSvRtm1bHDx4sFbmepC6TyqR4OHl68ClU2gfewMOckml19+3aIZUp1aQGxmDMTIGz9gYfGMT6JuawNDEBI3MTNDIpBF4PB7MAZi/5f1RUVEwEZqo7eupDIfLhbtXK8CrFYAJyC0oQsStOygIvwW76HC0yHqhsXf3unccUfMiUPjZIjRtXdsTNwghdZlwVyIAIOsje0XbyAvpOBtfhL8CzDHAyQBAyej4rKtZGN/MUDHlI6lAihb7k2FrwMGTUXaK+3scS8HddDEuBVrBy7JkVHFFeA5WReSy3lMdt2/fxsGDB9GjRw9Fm1gsxo4dO2BtXVInPDg4GA8fPkR4eDicnZ0BADt37oS3tzdCQkLQs2dPAEBhYSG2b98OR0dHAMC6deswYMAAPH/+HK6urti8eTM+//xzjBgxAkDJaOXVq1exefNm/PTTT4iPj4eNjQ38/f3B5/Ph6OhY4cIuU1NT8Pl8GBoaVjrF4JdffoGtrS1+/PFHcDgceHh4YMmSJfjiiy/w9ddfw9DQEADg4eGBr7/+GgDg5uaGPXv2ICQkpMKENiAgAAsXLkRQUBB69uyJ6OhobN68GQDw6tUrODs7IyAgAL///jsCAwPh7e2NiIgI/PbbbxCLxUhPT4etrW6XzVM5oU1OTsb06dMpmSVvlfgiHgmnTqD5vQvwK0qv9No0gQnutfSH9YB30KS5G5rUUoyaZmCoj9bd/YDufgCA+LQMvLgaBkn0U3AL88ATFYFXXACBqBD64pL/GUqKYCQpRCNpcZXf554Tj+I103Clx3j4jBsDDpfKG5H653RcIQAokizSMFy4cAH29vaQSCQQi8UYOHAgfvjhB8V5Ozs7RTILlEyPtLOzUySzAODi4gI7Ozs8efJEkdA2btxYkcwCQIcOHcDhcBAZGQkrKyskJSWhU6dOrFg6d+6Mc+fOAQDeffddbN++HZ6envD390fv3r0xYMAA6OlV/9OyyMhIRRxvvlMkEiE6OhqtW7cGALRq1Yp1n62tLVJTUyt87vjx4/HixQuMGTMGYrEYxsbGmDx5MlauXKl419y5c/Hq1Sv07dsXcrkc1tbWGD16NDZs2FDhVAZdonJC26pVKyQl0ZaDpHxFhcV4ePYCGl09g/av7le6wEsKBrftvVHcbSBa+XdHRz1BrcWpLWaW5jAbPADA2yfW50ilKCgoREFuPory8lGcX4Di/HxI8gsgKSyArKAA8oI8eNw6CYfCNMV9enIJAi79gjuPw2A6YxFsHHT7t2lCqmr0xQwAqPEoHylVXl/u7608cDXBw0hpyoedIbfc+0MGK++ouNDbBAu9q/eJmZ+fHzZs2AAejwc7Ozulj75fj1qqQh2LxV4/w8HBAbdu3UJISAguXbqERYsWYdWqVbhw4YJGKjC8GXvZPmAYptJpnwzDYOnSpVi8eDFevXoFS0tLxfxiFxcXACXTC7Zs2YL169cjJSUFtra22L17N4yNjWFpaan2r0fdVE5oly9fjgkTJqB3795Kv7GQhkkuk+H5/SfIOnsCXpGX0OMtC7xijGzx3LsvmgwahJaNNb+qs67icLloZNwIjYwbVXpdzvBhuLzxR3R7HsJqb/fqATKXfII7Q2ei3Tt9NRkqIbWqn6P6F58Q3WdoaIimTZX2bqyQh4cHkpKSEBsbqxiljYmJQVJSEpo3b6647uXLl0hISICDgwOAkukMMpkMHh4eMDExgZ2dHa5fv86a3nDt2jV4eJQO2ejr66Nfv37o168fvvjiCzRr1gxhYWHw9/dXiksgEEAqrbwuuoeHBw4fPgyZTKYYFb127RoEAgGaNKn5Z5hcLheNGzcGABw8eBAdO3ZUSlb5fL5i8dw///yDfv361a8R2h9//BHGxsYYOHAg3Nzc4ODgAG6ZjzUZhsHff/+t9iCJduXn5iMpOhbZsbGQJMZB778tYh1yk+AlLaz03gKOALeb+kEv4B206NQOlnXgL0VdYSI0gffipQg5dhqeRzdB+MYvFGaSfHQ/8D9cDr8KtxlfwtjUWIuREqIe5Y0cElJWz5490apVK0yaNAkrV64EAMybNw+enp7o3r274joDAwNMmTIFy5cvR1FREWbPno1+/frB1dUVADB9+nSsWLECrq6u8PLywv79+3Ht2jXFyObevXshlUrRvn17GBkZ4fDhw+Dz+RUm305OTrh9+zZiY2PRqFEjmJkpl5/75JNPsG3bNnz55ZeYPHkyYmJisHTpUnz66adVGokuKz09HUeOHEHXrl1RXFyMvXv34ujRozh58qTimmfPnuHWrVvw8fFBVlYWtmzZgsePH2Pbtm3Vfm9tUjmhffLkCRiGgYODA4qKivDs2TOla3Sh7hupHqlEguTYl0h7EYOixHhwk+Nhkp4Au+yXsCvKQFXHUx+YuSG1U3949O8L71pamNVQtR88AMnenojeuBztUh6yznV7dgnx8x/i8YQFaNGpvZYiJISQ2sMwDP7880/Mnz8fgYGBAIAePXrghx9+YOUpTk5OGDZsGEaPHo309HT06tULmzZtUpyfPHky8vLysGTJEqSkpMDd3R2//fYb2rRpA6BkodeGDRuwaNEiSCQSeHh44Pfff1d8hF/W9OnTMWXKFHTq1AmFhYWKsl1vaty4MQ4cOIDFixejW7duMDU1xfDhwxWVEWpi3759WLx4MeRyOXx8fHDixAm0b1/6c0EqlWLLli149uwZ+Hw+unbtinPnzrHmIuuyKtWhJVWna7UJxSIxnkc8QG5MDORJ8TBMTYBVZiIc8l9B7y1VCN4mnd8I91r0guWAQDRp2UxNEVefrvW9psmkUtz8bS+6hvym9GcpBYOQDsPgNWkSBBqes9zQ+l2XUN9rj673fV2tQ6uK6tRCfV2H9tq1axqKqmGok3VoSd2WkpiMF0ePoHXEGXQozlLbc3O5+nhs0xJFXfujde+e8GkAC7x0FYfLhe9H4/CkQ0cY7lgG99zS+oZcyOF/6yAePbsDTFsEp2aqz0cjRFeUV2KKEEIASmg1Lu76bRhy9GDv6vT2i9VMLpPh0fXbkJ45hI5xYWgql1XrORKGU7pFrKUj5HaOMHJ0grWrCyxtLNGS5sXqFNc2zVH4w04Eb9uMXvdOsM61zIpGwYrJuN7nU/iMGgaG/uwIIYTUAxVOOTAzMwOHw0FSUhIEAgHMzMzeOkeWYRikp1ded7Qhyc7IhtXs9yCQS/FI2BRJbbrBISAA9k00m9zm5+bj4fGTcLx6jDVK9zapAhO8NGmMbAsHiG0cIbB3hHkTZ9i5OGr8Y2pN0PWPAGvD/UuhaPLnatiWMyp/w74dbGYuhIWNlVrfSf2uPdT32qPrfU9TDogm1IkpB/PmzQPDMODxeKxjorqnQcGwl5eU6GiZFY2Wl6OBy3vwyMwVSW26wzEg4L+tU9UjNvI5Uo4fQvtHQfCvpPpALlcfDxy8UGjtBE5jR5g4O8OmqQtMzUzgqrZoiC5o07MLslq3wLUNq9A5Lox1rmPiHaQt+gR3358Nzz49tRMgIYQQoga0KEyDHi2cjY4v71R6zUMzVyS37Q6ngN6wc676vDCJWIL7F0NgGHQE7V/dr/Ta543sEds5EC0CBzWIMk66PmJSm+QyGW4dOoYOp7bDWFqkdP5Sy/5oMW06jBrVvBg49bv2UN9rj673PY3QEk2oEyO0pObyPbvgdnEBvNMjwUH5vze0ynyOViHPgZBdeGDmhlee3eEUEAA7p8qT2/RXaXh29Cia3z6FbpVsLythOLjp1BFM36Fo5ecDG5oz2SAxHA58hr+LRO92EG1ZhjbpT1nnez46g4xZV3DXwQviNr5o0rWT2qciEFJTIy+U/FtH9WgJIWVVOEL777//sgoQV0VN7q1voqKiIGxkihcXLsL87r9om/qkwuT2TffN3ZHStjucewfA1rFkVw+5TIant++j4PQhdIwOrbTMVqrABPe8+sNlyHsNdgtUXR8x0RaJWILbv/yKHtf3gVfJQsHHwiZIcveBsU8nuLdrCx5ftd9/qd+1p773vS5XOdD1vs/OzoaJiUm9nDpII7Tao4m+l8vlyMnJqfIIbYUJrZ2dHVq3bo2PP/4YgwYNgolJ5cXxc3JycOLECezatQsPHz7Ey5cvqxRIfVX2H7mUl68QczEIFhEhaJNW8cjtm+5bNEOKqzcaP72BFlkvKr32noUHMrsPRuv+vaGnr1fj+OsyXf8Bo21Pb9+D+S//g0t+8luvzeQZ4bGDJ4rbdESTLl1gaVfx6C31u/bU974/HVeyNmCAk4GWI1Gm630vkUiQm5sLoVBY75JaSmi1R919L5fLkZWVBWNjY8UaLlVVmNC+fPkSq1atwl9//QWGYeDt7Q0vLy+4uLhAKBQqXhobG4uIiAiEh4cDAMaMGYN58+bBzs6u5l9ZPVDZP3Ipicl4cTEIVndD0DYtstrvKOAIcLNZd5gOGga3ti2q/Zz6Rtd/wOiC/Nx8PPp5B7weXoSZJF/l+x6bNkGSe3sY+3SGe3tP1ugt9bv2UN9rT13oe4lEgvx81f+e1xU5OTlvHXQjmqGJvjcyMqpyMguosCgsPT0d+/btw6lTpxAeHo7CQvbqeUNDQ7Rv3x4DBw7E+++/D3Nzc5VfHhoaik2bNuHu3btISkrCli1b8MEHHwAAxGIxli1bhvPnzyMmJgbGxsbo1q0blixZAkdHR8UziouLsWjRIvzzzz8oKipC9+7d8eOPP8LeXjc+klL1H7lXCcmIuXgRVnf/Rdt01ZLbWEMbPPMNRPPBgTA1r5+T/WuiLvyA0RUSsQTPwu8j++Z12EXdQsvM5yrfm8UzxCMHLxS37giXrn7IysumftcS+p7XHup77aG+1x5d6vsqVTmQSCRISEhARkYGAMDc3ByOjo7gcrnVevm5c+dw/fp1eHp6YvLkyVizZo0ioc3Ozsb48eMxbtw4tGnTBjk5OVi0aBEyMjIQGhqqyN5nz56NU6dOYdu2bTAzM8PXX3+N7OxshISEVDsudarOH3Zy/EvEXgyC9d0QtMmIYp2TgcFN+3aQ9h6K1j06g6MDX6Ou0qW/aHVN+qs0vAi9Bv79G2gRHw5zcZ7K9z42cUaSW3sYevvAzacd9A0a9tSX2lTfv+d3R5aMLk7wqHk1DnWr732vy6jvtUeX+l5nynbZ29vjhx9+UCS05Xny5Ak6deqE0NBQtGrVCtnZ2XBzc8OWLVvw/vvvAwASEhLQpk0bHDx4EAEBAbUVfoVq+oedFJeIuItBMIx+gEJrR9i/MwT2TRzffiPRqb9odZlUIsGz8IfIunkNtk9vokVmtEpzvwGgkMPHI+sWyGrWHhYdfNC0tQf9EqZB9f17nhaFkfJQ32uPLvV9nSrblZubCwAQCoUAgIiICIjFYvj7+yuucXBwgIeHB8LCwnQioa0pOyd72H00VtthkAaMy+PBw8cT8PEEMBkJqemIvnINvHthaBEfDotKRm8NZGK0T74HJN8D/t2FNL4xIh3aQtSyPRw6+b61PB0hbxrfzFDbIRBCdFSdSWhFIhEWLVqE/v37K+bHpqSkgMvlwsKCXZPQysoKKSkpFT4rKiqqwnOaUNvvI6Wo7zXDtLUH0NoDL6Qf4kZ0HKSPH8A57j5aZb2odPTWUpwLyxehwItQ4CTwwtAWT+1boti1JSyau8OwESUsNVWfv+c/ty75/6ioNO0GUoH63Pe6jvpee2qz7ysbDa4TCa1EIsGkSZOQnZ2Nv/76q8bPq83hcV0ajm9oqO9rR/PmHsDAPgCAhNR0RJw+B2H8M7jGRcC+kk0/AKBJQTKaRCUDUUGQnmHwyNwNKW7tYOztA7f2bSHQE9TGl1Bv0Pe89lDfaw/1vfboUt/rfEIrkUjwySef4NGjRzhx4gSrioK1tTWkUinS09NhaWmpaE9NTUXnzp21ES4hDZq5lQUcO3eA+7jRkMtkePw8FklhYTB8chstkx7ARFJY4b1cyEsWQd6IAm7sRx5XD49sW6HQtze8BvUFtxplXEj9klQgBQDYGdI8bEIIm07/hBCLxfj444/x+PFjnDhxAjY2NqzzXl5e4PP5CA4OxogRIwAAiYmJiIyMhK+vrzZCJoT8h+Fw4OjeBI7uTQCMgkQswa3w+8i+cxMWz8LRKu0p+HJphfc3khajY+Id4NAdRF7Yh7QhE9HWvysY2r65wWqxv2QTEF1cFEYI0a4aJ7RyuRyFhYUwNKz63Le8vDxER0cDAGQyGRISEnDv3j2YmZnBzs4O48ePR3h4uGJzh1evXgEATExMYGBgAFNTU4wdOxZLliyBlZWVomxXq1at0LNnz5p+aYQQNeLxeWje0Rvo6A0ASM/Nw/PrtyC6dwuOLyLglptQ4b0eOXHw+H0xws+0hGzkZyWL1EiDY2tAv8wQQsqnctmuEydO4M6dO1i8eLGibdOmTVixYgWKiorQv39/7Ny5s0qJ7eXLlxEYGKjUPnr0aCxYsACenuX/0HpzA4bXGyscPHiQtbGCg4ODynFoki7NL2loqO+1o7r9npKYjLjrN8F9eAvNEu7CpjirwmuvOfnC5MNJcPZwrUGk9Q99z2sP9b32UN9rjy71vcoJbe/evdGsWTNs3boVQEnJLH9/f3Tp0gXu7u74/fffMXv2bCxcuFCjAdc1uvSH3dBQ32uHOvpdLpMh+uFT5B3aiy7Rl8u9RgoGV5oHwHHcRFjb29boffUFfc9rD/W99lDfa48u9b3KUw6eP3+O4cOHK44PHDgAc3NzHDx4EHp6euDxeDh06BAltISQGmM4HLi2aQ60+R4Rdx9B8tdP6JAUwbqGCzl6PLmAwkUhuOYVCI+x42kLaEIIaaBUnpBUVFTEmk4QFBSEgIAA6OmVbGvZpk0bJCYmqj9CQkiD5ubZEs1Xrsf1iavw0Ex5ioGBTAz/O4dgNHc0wn7ZjcKCIi1ESWpDj2Mp6HGs4hrjhJCGS+WE1t7eHuHh4QBKRmufPHnC2qErIyMD+vr66o+QEEIAtO7mC6e1P+Pf97/CCyM7pfNCSQEC/t0NyRdjcPPvQ5CIJVqIkmjS3XQx7qaLtR0GIUQHqTzlYOTIkVixYgWSkpLw5MkTmJmZoX///orzd+7cgZubm0aCJIQQoGQqQrtBfSHu0wtB/xxFy+A/YFtm8ZhdUQbsTm7E85CDePnOx/Dq50+lvuqJS4FW2g6BEKKjVP5Xfvbs2Zg9ezZevnwJBwcH/PHHHzA1LZmvlpmZiatXr2LAgAEaC5QQQl7jC/joOHo4mLV7cbHLWOTwDJSucc17iW77liHmy8/w6OotLURJ1M3LUgAvS9o9jhCiTOUqB6R6dGkFYENDfa8d2uj3rLQMPP39N/jdOwl9WfkfSd9o3A4GYyejSctmtRpbbaLvee2hvtce6nvt0aW+r9bncM+fP8f169eRnZ2t7ngIIaTKhJbm6PjFLMQv3Y1/m/lDCkbpmo4v76DZD1Nx48+/IZfJtBAlqakV4TlYEZ6j7TAIITqoSgntgQMH0Lp1a/j4+GDgwIGIiIgAAKSnp6N9+/Y4fPiwJmIkhBCV2DnZo93Xi/Fo/k+47uCjdF5PLoH/2a2IWLYU+Xn5WoiQ1MSqiFysisjVdhiEEB2kckJ79OhRTJo0Cc2aNcN3330Hubx0poKFhQWaNWuGffv2aSRIQgipiiYt3dF6+WrcnLoW9yw9lM53ex6CnAWfIe5ptBaiI9U138sY872MtR0GIUQHqZzQ/vjjj+jZsycOHTqEMWPGKJ3v0KEDHjx4oNbgCCGkJlr4tkOT1dsQMnQucrnssoLuuQlwWDkNd06e01J0pKoWeptgobeJtsMghOgglRPap0+f4p133qnwvJWVFdLS0tQSFCGEqAvD4aD9u4MQN38Lnhk7sM6ZSAvR/e//4ebatRCLqL4pIYTUVSontIaGhsjPr3jO2YsXL2BhYaGWoAghRN2cPVxhvGIHrjTtpnSu191jiF/4OVISk7UQGVFVRJoIEWkibYdBCNFBKie03bt3x59//gmRSPkfk6SkJOzZs4e1cxghhOgaI2MjeH6zFEF9p0DEcFnn2qZFwvjbSXhwJUxL0ZG36Xk8FT2Pp2o7DEKIDlI5of3mm2+QnJyMnj17YufOnWAYBufPn8e3334LPz8/cDgczJ8/X5OxEkJIjTEcDjp+MBL3P1+LRH32p0pWohz4/LwAYT//CplUqqUISUU8LfjwtOBrOwxSTzGpSeA8vQdIaPpRXaRyQuvq6oqzZ8/CxsYGK1euhFwux5YtW7Bhwwa0adMGZ86cgaOjoyZjJYQQtfHo4AnZ8p9xy9aT1c6FHAFXfsPjxfORnUG1tnVJyGBrhAy21nYYpB7i3rwEozmjYbh8BvTXfwXI6BfauqZKdWg9PDxw+PBhREdH4+LFizh//jyioqJw7NgxuLm5aSpGQgjRCDNLc7gv/xEXfUdBVmYzBt+EW5B+/Sme3X2kpegIIbVCKoHen1sVh7z7N8G7QtVP6ppq7RQmFArRrl07dOjQAZaWluqOiRBCag2Xx4Pv1Mm4Pv57ZPAbsc45FaSg+fqZuPn3IS1FRwjRNO7d6+BkpLDaBId/BUTFWoqIVAevohOhoaHVemCXLl2qHQwhhGhLW/+uSHLdgaR1i9Eq87miXV8mRq+TG/Fv1AO0+GIeDAz1K3kK0aTm+5IAAE9G2Wk5ElKf8C8eVWrjZKSCf+EwxANHaSEiUh0VJrTvvPMOGEZ5P/SKyOVyMAyDjIwMtQRGCCG1zc7ZHsUrt+LSxvXo+fA061z3p0GIXPAc8pnfwcHVWUsRNmzJhTJth0DqGSY5AbwHN8s9JzixF+IegwAj2p2uLqgwoT1+/HhtxkEIITpBT18PHebNR8iR1uhwdCOMZKUfO3pkxyL7f1MQPmIOvPtTmcLa9nikrbZDIPUMP/hYheeY/FwITv4F0fuTajEiUl0VJrRdu3atzTgIIUSntH93EKKbNYPRliVomvdS0W4qKUC3v75D0NOH6DBtKjhcbiVPIepkZ0h9TdRIVAz+ZfYnMdImHuC+iFQc88//A3Gf9yA3o/VCuq5ai8IIIaQhaNLSHYYrf8JVFz+lc/63/8GdNashl9HH4ITURbywIDD5uYpjuZEJCuf8AJmpuaKNERVDcGSPNsIjVVThCG15ioqKcPz4cURERCAnJweyMv+QMwyDzZs3qzVAQgjRpkbGjdBmyTJc/P0vdA/+FXx5aX3Kno/O4NIaBu3nzAXDofEBTZsZmgkA2NDFTMuRkPqAH8SebiDuPgBoZArR0AnQ371W0c779yRE/UdAbudU2yGSKlA5oU1ISEBgYCBiYmJgamqKnJwcmJmZISsrCzKZDBYWFjAyMtJkrIQQohUMhwPf8R8gonkLuOz8FlaiHMW5ng9P/5fUzqGkVsP2PC0AQAktqTnOiyfgRj9mtYl7DQYASLoNhOz03+C8SgAAMDIZ9A7uRNH072o9TqI6lf/1XbJkCTIyMnDu3Dncvn0bcrkcv/76K16+fIlvvvkGBgYGOHpUufQFIYTUFy182+HVl2uRKjBhtfd8eAq31v5I0w80bL2fEOv9hNoOg9QDZUdnJW06Qm5jX3LA46F4xETWed6tf8F5Tpus6DKVE9pLly7hk08+gY+PDzhvjELo6elh9uzZ8PPzw8KFCzUSJCGE6AqX5m5I/uJHpJVJanvdP4lba9dSUqtBEzyMMMGDPgkkNZSfC971i6wmsf8Q1rG0Qw9ImzRnten9vQOQyzUeHqkelRPa/Px8uLi4AAAEAgEAIDe3dDJ1586dq70ZAyGE1CVNWroj6Ys15SS1J3BrHSW1hOgy/pUzYN7YBUxmYQOpVyf2RQyjVK6L++QuuPdu1EaIpBpUTmjt7OyQnJwMADAyMoKZmRnu37+vOB8fHw8+n6/+CAkhRAc1adkML2euQRqfXXS9170TuLVuHSW1GnA6rhCn4wq1HQapy2QypZ3BxL0CAY5ySThpy3aQtPFhtQkO/ATQ322dpHJC6+fnh6CgIMXx4MGDsXnzZqxevRqrVq3C9u3b0aNHD40ESQghuqhp62Z4OWsN0vmNWO297h3HrfUbKKlVs9EXMzD6Iu1GSaqP+/iOYrEXAMi5PEi6D6zwetGIMqO08c/Bu3ZBY/GR6lM5oZ06dSreeecdFBUVAQC+/fZb+Pj44H//+x9WrlyJdu3aYeXKlRoLlBBCdFHT1h5InPWjclJ79yhubthISa0a9XPURz9HfW2HQeowpcVgHbpD/kbd2bJkzu4Qd+7NahMc+hUQizQSH6k+lct2tWrVCq1atVIcC4VCHDlyBFlZWeByuTA2pr2OCSENU9PWHng+cw2YDXNgLs5TtPtHHEHQRgY+M6ZTSS812N/bQtshNExSCXiXToCTHA+ZiwckbTsCxkJtR1VlTEYKuHeusNrEAe++9T7Rex+Dd+MSGKkEAMBJSwY/+BjEfYdrIkxSTVXaWKE8pqamKCykOU2EkIbNtU1zPJuxGtg4l53Uhh9G0CYGPtM/p6SW1En80/uhd+BnxbGc4UDm2hISr06QenaGzLEpwDBajFA1/EsnwbzxiYnUoQlkzdq89T65dWOI/QdDcP6Qok1w7HeIuw0ADKjqhq5Q+V/XEydO4Lvv2EWFN23aBHt7ezg4OGDMmDEoKChQe4CEEFJXuLVtgbjpPyCTx/4h53/nEG5u3kLTD0idxAsLYh0zchm4zx5A7+BOGH7zCQxnj4Te7rXgRlwFiou0FOVbSCTghZxgNYn9h6iciIsHj4Vc30BxzORmQ3B6v1pDJDWjckK7fv16RZUDAIiIiMCSJUvQvn17TJgwAefPn8eGDRs0EiQhhNQVbp4tEVNeUnv7H9zcspWS2hoQ7kqEcFeitsNoWMQicBJjKr2Ek5ECfvAxGKz7CkbTBkN/7QLwLh4Fk/6qdmJUATf8CjhZ6Ypjub4BJH59VL5fbmIGcf/3WW38M3+DeeOZRLtUTmifP3+Otm3bKo4PHDgAc3NzHDx4EGvXrsVHH32EQ4cOVfIEQghpGNy9WiHm81XI4hmy2v1vHcTNrdspqSV1BifhBRipVHEsZypPGxixCLy716H/2zoYzR4Jg68/huDvn8B5eh+QSSu9V5PKluqS+PWt8nQBUf+RkL0xd5gpLgL/2O/qCI+ogcoJbVFREQwNS/9xDgoKQkBAAPT09AAAbdq0QWIi/eZMCCEA4O7dGi8+/0E5qb35N25so6S2OrI+skfWR/baDqNB4cRGsY6l3n7IX/s3iibMhsSrM+QCvUrv5yZEQ3DyTxgunw6jz4dCb/sy8K5dBPJyNBk2C/MyFrzH4ay2sjuDqcTAEOIh41hN/EvHwbxRBoxoj8oJrb29PcLDS74hnj9/jidPnsDf319xPiMjA/r6VE6FEEJee53UZpdJagNu/I0b23/SUlSEqI5bNqF1dofcwhqSXoNR9MUK5G85hsLZqyAKeBcyC5tKn8Xk54B/7QL0t38PoxnvlYxu1sJWsvwg9uistFmbkoVs1SDuFQiZlZ3imJFKIfjnlxrFR9RD5YR25MiR2LNnD0aNGoVhw4bBzMwM/fv3V5y/c+cO3NzcNBIkIYTUVe7erfF86irk8AxY7QFh+xC2dbuWoiJENWVHaGXO7uwLBHqQevpCNG4WCn7ch4Llv6L4/UmQNmtT6fQERiqB3j+/gH/+H02EXaq4EPwrZ1lNYv93q/88Hh+iYZ+wmvhhweC8iKz+M4laqJzQzp49G7Nnz8bLly/h4OCAP/74A6ampgCAzMxMXL16FQMGDNBYoIQQUlc1a98GzypKarft0FJUdc/IC+kYeYEW4dQamRSc+OfsprIJ7ZsYBjKHphAPGoPCrzchf/NhFE1eBHGnAMiNyq9VL/hrK7hlpgOoE+/aRTCF+YpjmYkZJB261eiZEl9/SJ3YA3iCA/SJi7apXIeWy+Vi0aJFWLRokdI5MzMzREVFlXMXIYQQAGjWvi0ip6yE+9YFMJGW1u4OuP4XgvOyYTNkOJyaVe9j0IbibLyOloSqp5ikeDCiYsWxzFgIuZml6g9oZApJ596QdO6NYqkEnOePwIu4Bv7Fo2CKSsp8MjIZ9Ld8i4Jvd0BuaaveL0AuB//iEVaTpPtAgC+o2XM5HIjenwSDNfMUTbyHt8F9cAvS1h1q9mxSbVTlmxBCaolHB09ETVmJHC57pLbXg1NoufxjJE4fh7CfdiI+6oWWItRtfwWY46+AircpJepVdv6szNm9+hsocHmQNWsL0fufoWgye2CMyc2G/sbFwBvJszpwnj8CN+6Z4ljOMBD3ClTLs6WtfSBp4c1qE/z9E0CLPbWGElpCCKlFHj6eeDr5f8jlKi+i9ciJQ0DoH2ix7CMkzhiPsJ9+QXxUTO0HqaMGOBlggJPB2y8kaqE8f1Y962Sk3n4ofu9jVhs39in0dq1R6yKxsqW6pJ6d1TcKzDAQvf8Zq4kb+xS8m5fU83xSZZTQEkJILWve0RuRn/0PaQKTCq/xyI5FQOjvaLFsAuJnfISwn39FwvPYWoySNHTKCW0ztT1bHPghJO26str4V8+Df/agel6QmwXejWD2OwOqUaqrErKmzSHx6cFqExzcCUgkan0PUQ0ltIQQogXNfduh+Ic/EDxgOm7btoUUFX+U2yL7BQKu/Ibm341H/MyPELZzFxJfxNVitLphd2Q+dkfmv/1CUnNyebklu9SGw0HRpK8ga+zMahbs3wbuozs1fjz/39NgJGLFscyqMaStfWr83LKKh0+EnFOaSnFSXiptsUtqByW0hBCiJaZmJvAZNQweqzYi4YcDCOr/Oe7YtK48uc16gYDLe+Dx7TjEzfwYYb/sRuKL+FqMWntmXc3CrKtZ2g6jQWDSksEU5CmO5fqGkFs3Vu9LDAxROHMZ5IalO3a9XiTGpCZV/7kyGfjBx1hNYv/BAEf9KY/c1hGSHoNYbYKje4D/Fr2R2kMJLSGE6AALG0t0HD0czX7YXJLc9puGO9atKk1uW2ZFI+Df3fD4dixiZ32ChDPnkZaUWotR167xzQwxvpnh2y+sbTIZOPUsgeHEPmMdy5zcNJYQFn22CPI3FpsxeTnQ3/gNUFy9qhbc+zfBeSMhlvP5EHfrX8kdNSN6dwLkgtI58ZzsTPVNnSAqq9J3Z0ZGBpYtW4Z+/fqhXbt2uHHjhqJ91apViIykwsKEEFJTFjaW6DhmBJqt3oKEH/5GUL+pCLduBVklyW2rzOcIvPU3bL4agxvr1yMzLaMWI64dG7qYYUMXM22HwcIkxcFw7mh4rpkJve3LAGn9mD/JjX3KOlbrdIMypF6dISq7SCzuWbUXifGDjrCOJR39AWNhDSKsnFxoAXG/4aw2wal9QE6Wxt5JlKmc0MbGxqJr167YvHkzxGIxYmJiUFhYUkvR3Nwchw4dws6dOzUWKCGENEQWNlboOOZ9uK/egriVfyOoz2REWLWoMLk1kInhH34EpvM+QNjW7cjJyqnliBsQuRz6P68EJ+0VAIB/7YJS3dO6SlMVDioiDvwQkg7dWW38axfAP/N3lZ7DpCaBe/c6+9n+g2sc39uIBo6C3Kh0kSdTVADB8d81/l5SSuWEdsmSJZDL5bh+/ToOHDgAeZnfmgYOHIiQkBC1B0gIIaSEpZ0VOn44Cm5rtiF25X4E9f6swuTWRFqIgLB90J8zBmE7dyE/r+4vpkoqkCKpQKrtMBR4N4LBff6I1Sb45xcwGSlaikh9lKYcqLHCQbkYBkUTF0Da2IXVLNi/A9yHt1R+DP/SCTBv5CdSZ3fIXFuqK8qKGTaCaPCH7FguHq3ZXGBSJSontJcuXcKnn34KFxcXMOUUVnZ2dsbLly/VGhwhhJDyWdlZo+PY0XBbsw0x//sLF3t+giQ95Y/jzcV5CLi8B8wXY3Dj979QXKTe4vW1qcX+ZLTYn6ztMEqIiiH4W3nbYqaoEHp/bNJCQOrDZGeAk5WmOJbz+UrVCDTCwBBFZReJyWXQ3/KdaomhWAReyEl2k/+Q6m8GUUVi/yGQmVsrjhmpBIJDv9bKu0kVEtri4mIIhcIKz2dnZ4OjgQnjhBBCKmdtbwvfj8YibvoyXOz5MdL4xsrXiLLhf2EHCmd9gJt/H4JEXPfmetoacGBroBs/Z/jnDymmGpTFu30Z3DuhtRyR+ihNN7BvAvB4tfJuua0DiiYvZi8Sy8+B/sZFb10kxrv1Lzi5WaXPMjSCpHOApkJVJtCDaBh7LjDv2gUwWem1F0MDpvK/DC1atEBoaMV/QU+ePIm2bduqJShCCCFVJ9AXwPejcZCs+wsXO49BDk95Vy2HwjT0OrkRmTM/xO2jpyCT6s5H+G/zZJQdnoyy03YYQE4WBMf/YDXJOVzWsd7vG+ps6Sbl6QaaWxBWHqmnL0TDJrLauHHPoffLD5UuEuMHsXcGE3fpD+jV7s5yEr8+kNk5KY4ZuRycqAe1GkNDpXJCO2XKFBw+fBhr1qxBZmYmAEAmk+Hp06eYOHEibt26hWnTplXp5aGhoRg1ahRatGgBoVCIvXv3ss7L5XKsWLECzZs3h62tLQYNGoTHjx+zrsnKysKkSZPg5OQEJycnTJo0CVlZWVWKgxBC6pNGxo3gO3kSclf/haAOw5HP0VO6pkl+Mnoc+gHJsz5C+JkgyGkPepUJjuwGU1g6J1lu2AjPRs9kF9jPSIHg8G4tRFdzyhUONDx/thzid8Yo7cLFDwsC//T+cq/nxD0H9+l99jNqYTGYciBcSNp0ZDVxXzyp/TgaIJUT2hEjRuCbb77BqlWr4ONTstvGsGHD0KlTJxw5cgRLly7FgAEDqvTy/Px8tGzZEitXroSBgfJvURs2bMCWLVuwatUqBAUFwcrKCkOHDkVubq7imokTJ+LevXs4ePAgDh48iHv37uGzzz5TehYhhDQ0puZCdJz+OdJW/oHgNu+gmFH+2LhZThy6/fUdYmdPwv1LVymxfQvmZaxS0X7R4LHIa9IC4n4jWO38cweVPr6vC2q7wkG5GAZFE+dD6tCE1Sz4+ydwHygvEis7Oitp2Q7y2pj3Ww5Z0+asY84LKmlaG6o0GemLL75AeHg4li1bhk8++QQTJkzA0qVLcevWLUyfPr3KL+/bty8WL16MIUOGKM2/lcvl2LZtG2bNmoUhQ4agZcuW2LZtG/Ly8nDwYEnB4sjISFy4cAHr169Hx44d0bFjR6xbtw5nz55FVFTd+0eEEEI0wcLGCj5z5iDuuz0Iad4bEkb5n/7Wmc/QeddXeDbvczwOq/nWo5rQ41gKehzTbgUBvX3bwLyR9MusGkPceygAQDR0AmQWNopzjEwGvV0/ArK6M60DBXngpJQu8JYzHMgcXbUTi74himYsg9ywkaKJkcugv3UpmDdi5BQXgnftPOtWrYzO/kdaJqHlvogE6BdFjVM5oY2Pj0dhYSEcHBwwdepUrFmzBmvXrsX06dPh4uKCwsJCxMerb/vF2NhYvHr1Cv7+/oo2AwMD+Pn5ISwsDABw48YNNGrUCL6+voprOnXqBCMjI8U1hBBCStg52aP9wkWI+vpXXGnardxyX96pj+CzdTYeL/wCj67d0qkR27vpYtxNF2vt/dyHt8ArU+O0eOQkgC8oOdAzQPG4mex7XjwB/yJ79FCXceLKzJ+1cwL09Cu4WvPkNvYomvJNmUViudDfsAgo/q8W/v3rYIoKFedlQgtIvbvWeqyvya3tITcqXZjJFOaDSW4Y21Nrk8oJraenJ06cOFHh+dOnT8PT01MtQQHAq1clq0etrKxY7VZWVkhJKfkNPSUlBRYWFqwyYgzDwNLSUnENIYQQNkd3F3gt+R4P5+/ANSffcq/xeRmOjtvnIHPaKIRt3Y7EF3G1HKWyS4FWuBRo9fYLNUEmheCvbawmqXtrSDuw53lKvfyUNggQHNwJJjMNdQFXF6YblCFt6wvRiE9ZbdyEaOjtLFkkZnn7EuucpOc7tVaVoVwMA6mLB6uJS9MONE7lP/GyGymUJZFIyq1Pq4tqezoCTX/QHup77aB+154q9T2fgf64iTj9rC/Mg47AN+W+0iVOBSlwCtsHhO1DuHkzxLX0g1UHbxg0MlRj1Kp5XZ00KrPWXw3ziCtwjn/OanvWNRAFz0pHNF/3Pd/vHbS4dwNcUUmZKaaoAKIdKxAzbHLtBVxNTvfv4M0lhClGZkjRhb/P7h3g0vIOzB6Vzp/l3whGXm4OGqWyp0g8dWoFsZZjthNaw/aN45zw60i0blLh9XVZbf577+5eccWNKv0KU1HCmp2djQsXLiiNptaEjU3JPKTU1FQ4Ojoq2lNTU2FtXVK42NraGunp6ZDL5YrY5HI50tLSFNeUp7IOUbeoqKhafR8pRX2vHdTv2lPdvnd3dwcGBODG1VvQ+2cnPNPKX5XtnfEU3leeovDqXtxx7gimW3+07N4ZPL4WR8NqQ1EBDDezP6EUdwqAfc9+iuOyfS95fxK4f2xUHJs9vg39/DRIvTprPt4aMMhk19Y17+AHU135+zzre0i/mwZuQrSiyezxbdYl0vZd4dK+Y9k7ax03pzMQekpxbJGRBENd6Uc10qV/7yudcrBy5UqYm5vD3NwcDMNg0qRJiuM3/9ekSRMcOHAAw4YNU1tgzs7OsLGxQXBwsKKtqKgI165dU8yZ7dixI/Ly8nDjxg3FNTdu3EB+fj5rXi0hhJC3a+nXAU1Xb8X1T/6H0CZdUMThl3udgUyMLi9C4ffbNxBNHYaba9ch+oHmP1JdEZ6DFeE5Gn9PWYJT+8F5ozi+nM9X+gi8LHHAEEibsD921vt9vWLep04SFYPzMobVJHXS/pQDBT2Dkp3EjJQ3DnlN7D+kFgOqmKxpC9YxJ+4ZINHe/O+GoNJfq9u3b49PPvkEALBz50706tULrq7s1Y4Mw8DIyAheXl4YPLhqqwrz8vIQHV3ym5ZMJkNCQgLu3bsHMzMzODo6YsqUKVi7di3c3d3h5uaGNWvWwMjICMOHDwcAeHh4oHfv3vjiiy+wfv16ACWVGPr166czvzEQQkhdwnA4aN3dD+juh/TMHDw9ex4WN8+hbVr5Cau1KBvWd48Cd48i0tQZCd694TawPyxs1D/XdVVEScnGhd4man92RZiMVPBP72O1ifuOgNzStoI7/sPhonjClzD4djIYecnCOk7aKwiO7IFopG5OPeAkvGBXcLC0BSpJHrVBbt0YRVMWQ//H+Yp+fU1m5whpy3ZaioxNbmYJmdBSsYUwIxaDk/ACMpfar+nbUFSa0Pbp0wd9+vQBUFIz9uOPP0aHDh3U9vLw8HAEBgYqjlesWIEVK1Zg9OjR2LZtG2bOnInCwkLMnTsXWVlZaN++PQ4dOgRj49K/YDt37sS8efMUo8MDBgzADz/8oLYYCSGkoTI1M4HPqGHAqGGIfB6HhLOn4H4/CE4F5S+69ciOhcelXyAJ2YU7dl4o8uuLlr17Qd9AeWOH6pjvVfvJleCfnWBExYpjmbEQosAPVLpX5tIM4r7DIDh7QNHGP/M3JJ37QOakpVJYlVCqP6ujyZe0jQ9E70+C3v7trHZxr8GADq3lkTX1AOdO6WJAzosnOtun9YHKE5+cnZ1haFjxIoDHjx/j2LFjmD9/vsov79atW6W7ejEMg4ULF2LhwoUVXiMUCvHTTz+p/E5CCCFVZ+/qBPupkyGTfoobN8JReOkMvJ+FwkSi/BE6Ty5Dx5d3gIN3kH1kI267dYHtqLGwb+JUzpNVV5sjswDAiXkKXug5VpvovY8AA6MK7lAmeu8j8G6GgJNR8ksAI5NBb/ePKFy0GeBUqRS8xintEKZL0w3KEA8YCU5sFPjXLwIoKdUl7tpfy1GxSZs0B+9OqOKYG/0Ekl7aq49b36n8t2nVqlV4+PBhhecfP36MVatWqSUoQgghuonD5aJl5w5ov3ARijcdRsiw+bhp5wVpOTVtAcBUUoAeT87D7vvP8Oze43Kv0UlyOQR/bQXzRoUfaWMXSHoMqtpz9A1RPHYGq4n7/BF4l46rI0q14sSWqUHrrMNT9xgGxZMWovjDGUjx7YPC+Wt1bnqErEmZHcOiaQtcTVI5oX1b2a68vDzw+eUvICCEEFL/GBjqo/3gAWixcj3iVu7HxR4fIcrEsdxrTaSFsNz6DTLTMqr9vog0ESLSRNW+vyq44VfBexLBahONmgJwq17RQdquKyTt2IX+9Q78BOaNhWZaJ5WAU6YsmU4ntADA5UHc5z0k9nlfa9vcVqbsokBOYoxuLwqs4yr9m/ngwQPcv19al/DatWuQSCRK12VlZeHXX3+lhViEENJAWdlZw+rj8ZDLxiLiQSQyz59CmychsBSVViVwKEzDnVXfwPh/G6pV6qvn8VQAQNZH9mqLu1wSidL8TElrH0jbVr8cVPGHM8B9dFuxoxVTkA/Bn5tRPHVJjUJVF05SHBhx6S8LMlMzyIUWWoyoHmhkApmNPTivEgGUbNvLiY2CrFlbLQdWP1X6L8qJEycU0wgYhsGuXbuwa9eucq+luayEEEIYDgdubVsAbVtALJqBkLWr0eNx6TzUdikPEbxxA3y+/LLKz/a0qJ1PAfnBx8B5Y6tSOcMpGZ2twYIjuYU1RO99DL0/t5S+JywYkq79IW2r/TKTStMNnNx1aoFVXSVt0lyR0AIANzqSEloNqTShnTBhAvr37w+5XA5/f3989dVXiqoHbzIyMkKTJk3A0+ZWc4QQQnQKX8BHmy/mIOLreHills6f7XXvOC790wwdhgVWcreykMEVb5ijNvm5EBzZzWqSdB8ImWPTGj9a3HsoeKHnWNvL6v22HgXLdwF6+jV+fk0oVTjQ9ekGdYSsSXPgv4VrQEmlA6IZlWagtra2sLUtqbV3/PhxeHh4qHU3MEIIIfWbQE8As7nf4+XiSWhcVDp/ttOJjXjk4oJm7dtoMTplgmO/g8krnSYh1zcoqWygDlweij/6EgZLp5bWpk1NguDY72/dqEHTlCocuFBCqw7Spux5tNzoOrQwso5ReVFY165dYWVlhZycHAQHB+Pvv/9GSkr5tQgJIYSQ1yxsLPFq8ncofGPnMX2ZGHY/LUFaUqoWI2NjXiWCf+Ewq000aIxa55LKmjSHuPdQVhv/9D5w3tjOtdbJ5SU7Wb1B5kQJrTrInN0hf6M8GyflJZBX+7vdNQRVKoL3448/okWLFnjvvfcwefJkPH5c8ptGeno67Ozs8Ouvv2okSEIIIXWbu3drhA2eyWqzK8pAzppFEBWrVrmg+b4kNN+XpInwAPxXeeCN7Ull5lYQ9xuh9veIhn0MmdBSccxIpdDbtRaQySq5S3OY1CQwBfmKY7mBEeRWdlqJpd7RM4DMvgmriftC89tEN0QqJ7S//vorli1bhuHDh2PXrl2sMl4WFhYYOHAgjhw5ookYCSGE1AMdhr6DYM8hrLa2aZG4t36tSvcnF8qQXKiZpI/z9D54N0NYbaLhn2pmbquBkXJt2mcPwPv3lPrfpQLl+bNuOrfpQ10mK1u+i+bRaoTK37E7duzAu+++iw0bNqB79+5K59u2bYunT5+WcychhBBSwnv6dNy2Za/y7vnoDG7uO/jWex+PtMXjkbbqD0omg95fW1lN0iYekHTurf53vX5++26QeHVmtent3w4mu/p1equLWyahldJ0A7WSNmVvsMClhFYjVE5oY2Ji0KNHjwrPC4VCZGZmqiUoQggh9ROPz4PN3G8RZ8iuWNDlzDY8DrtT6b12hlzYGXLVH1NYsNJineJRUzU7SskwKB47E3JB6QgwU5AHQZnEujZQhQPNoh3DaofKf1uFQiFSUyuevP/48WPY2NioJShCCCH1l9DSHFnTvkc+R0/RJpBL4bxzKV4lJNduMKJiCA6wa6hL2neDrLmnxl8tt7SFaOgEVhv/2gVwH9zS+LvfRAmtZskcmkL+xk6qnKx0MBm6sxiyvlA5oe3bty/27NlT7ijsgwcP8Ntvv2HgwIFqDY4QQkj91LS1B24PZ2+uYC3KRtGar1FUWFzuPTNDMzEzVL2fBPLPHQQn/ZXiWM7lovj9z9T6jsqI+w6H1MmV1aa3Zy0gKr8P1I3JSgfnjWkOcr4AssZOtfLuBoPHU6oaQfNo1U/lhHbRokUAgM6dO+Pbb78FwzDYu3cvPv74YwQEBMDGxgbz5s3TWKCEEELql3aD+iKow3BWW6vM53j840rIy1nxv+dpAfY8LVDb+5mcTAiO72W1iQOGQm7roLZ3vBWPh+IJX0L+xq5cnJSXEBz/o1ZerzQ669AU4NImSeqmPI+WKh2om8oJrY2NDS5duoR+/frh+PHjkMvlOHDgAC5cuIARI0bg/PnzMDc312SshBBC6pn2Uybjhn07Vlu3qGDc+GOf0rXr/YRY7ydU27sFh3aBKSpNkOVGxhANGae256tK5toSYn929Qf+yb/AvDFyrCk03aB20DxazVMpoRWJRAgNDUV2djY2bNiAFy9eICoqCpGRkYiJicHmzZthaWn59gcRQgghb+DyeHCY9y1eGLHrnvYI2okHV8JYbRM8jDDBw0gt7+UkvADv0glWm2jIOKCRiVqeX1Wi4RMhMy0dFGKkEvBCz2n8vUoVDmiHMI0ot9LBG+VPSc2plNDyeDy8++67CAoKUrRZWlrC2toaHKpVRwghpAZMhCYomLkMOVwDRRtPLoP77u/xMiZBI+8U7N+u2H4WAGQ29hAHvKuRd6nEsBHEg8eymvhXz2k86VEaoaWSXRoht3GA3KD0lzGmIA/Mq0QtRlT/qJSNcjgcODk5IS8vT9PxEEIIaYCcPVxxb9Q8yFA6l9RCnAf52q9RkF8yLeB0XCFOxxVW+x1MRir45w/BYPkM8O6xR3+L358M8PgV3Fk7xL69IOeWliXjJMWDE6PBuZb5ueCklu68JudwIHNsqrn3NWQcDqRlNligerTqpfLw6uTJk7F79+5KS3cRQggh1eXVtxeC/caw2jyyYxG1+n+Qy2QYfTEDoy9WbeMBJiMF/LMHYLDscxh9MQJ6f2wE9+k91jXSZm0hbd+1xvHXmLEQ0radWE28q+c19jpu3DPWsayxMyDQq+BqUlNKO4bRPFq1UnkpY0FBAQwNDdGuXTsMGjQILi4uMDAwYF3DMAxmzJhRwRMIIYSQyvlM/BjXEp6hc1zpCGqXF1dwcddv6OccqNIzmPRX4N0MAe9mCLjPHlZ6rZzhoHjMVOCNKgPaJPbrA154qOKYdz0IolFTNFJ5gKYb1C5pE9oxTJNU/hvy7bffKv57//795V5DCS0hhJCa4HC5aDpvMaK+mgz3nHhFe69/98BgvBva+pc/ksqkJpUmsWV2/aqI1KUZRIPHKq1A1yapV2fIDYzAFOYDADg5meA+uA2pp6/a30UVDmqXrGkL1jEnNgqQSqhMmpqo3It3797VZByEEEIIAMDI2AhZs5Yj63+TIZSUzJ/lQI6We/+HBOdtcHB1BgAwKS//S2IvqVzXU9qkOSQde0LSoTvk1o019jVUm0APEp8e4P97StHEu3qulhJaN7W/g5SSm1tBZmoGTnbJ5iCMqBicxBjInKjf1UHlhNbJiXYOIYQQUjvsXZ1wf+zX6LhrEbgoWekvlBQgbd3XkPXpD6Pb/4Ib+1SlZ0ldW0Di818Sa2X39hu0TNylLzuhvXMFxYUFgIGh+l5SXATOyzhWk5QSK81iGMiaNAcn4pqiiRP9hBJaNaFxbkIIITqpTc8uuBQ9AQEhuxRtbrkJwKGdb71X6taqJIn16Q65hY0mw1Q7WbO2kJlbg5ORAqBkJI93+zIkXfup7R2chGh22TKrxoCRsdqeT8onbdIcvDcSWu6LSEh6vqPFiOqPKiW0jx49wo4dOxAREYGcnBzIymxNyDAMIiIi1BkfIYSQBqzjhLEIjX+GLtGXK71OzjCQubeGxKdHyUisuXUtRagBHA4knXtDcPJPRRPv6jn1JrQ03UArlHYMo4VhaqNyQnvt2jUMHToUJiYm8Pb2xr1799C9e3cUFxfjxo0baN68Oby8vDQYKiGEkIaG4XDgPmchHi9MQIvsF6xzcoaBrFnb0iTWrP7sWCnu0peV0HIf3QGTmaa2r5EbU3aHsGZqeS6pnLRpmdJd8c8BUTGVS1MDlevQLl++HI6Ojrh58ya2bt0KAJg9ezbOnDmD06dPIzExEcOHD9dYoIQQQhomQyNDcOetwL/mrZDBM8IlYQtMdx8Pzx5b8GzmWoj7vFevklkAkNu7QPpG1QFGLgfv2gW1PZ8TRyW7tMJYCNkb87gZmQycMvWASfWonNBGRERg7NixMDU1VWx3+3rKga+vL8aPH4/ly5drJkpCCCENWmMHW2TO+RE2XX9Cb69F2GbfF49gio+CMyCSanZ7WG2R+PVlHfOuqWmTBYkEnIRoVhNNOag9SvVoaYMFtVA5oWUYBqampgAAQ8OSlZYZGaU7tri5ueHxY9Vq/xFCCCFV9dPjfDQ1Yc+Uu5EqwqKb2VqKSLMknfwhZ0p/THPjnoMTH13JHarhvIwFIxYrjmVCC8iFFjV+LlGN0o5hNI9WLVROaJ2cnBATEwMA0NPTg7OzM4KDgxXnr169CnNzc7UHSAghhADA2fgiPM+RoI89e77hT4/zcTC6QEtRaY5caAFpq/asNnVshas03YA2VKhV0qY0QqsJKie0/v7+OHz4sOJ4/Pjx2Lt3LwYPHozAwEDs378fI0aM0EiQhBBCyF8B5vgrwBw/9TCHYyMu69yM0Cw8zhRXcGfdJfHrwzrmXTsPlKkwVFXKW97SdIPaJHNpxhp55yTHA/m5WoyoflA5of3yyy+xe/duiP/7mGLWrFn4+uuvkZmZidzcXCxYsABfffWVxgIlhBDSsA1wMsAAJwOY6XHwey9z6L2R0xZI5BgXnIEcUc2SPV0jad8VcoG+4piTmQbuk4gaPZMqHGiZviFkjdmbVXFjVNskhFRM5YRWKBTCy8sLfD4fQMmc2jlz5uDy5cu4dOkS5s+frzhHCCGEaJKXpQCrOwlZbVHZEkwPzYRcXo8WiekbQtKhG6upRtMOyllVT1MOap9W6tEWF0JweBcEv60HkxT39uvrGJUTWkIIIUSbdkfmY3dkvuJ4rLshPnBnbwd7NKYIWx7m1XZoGqU07eBmSEnt0mpgUl+CKSqdbyw3bAS5pW2N4iNVpzSP9kWkxt+pt2c9BEf2QHDxCAzWzAWKCzX+ztqk8sYK06ZNq/Q8wzDQ19dH48aN0bVrV3Ts2LHGwRFCCCGvzbqaBQCY4GEEoOTnzppOQtxLF+N+Run82SW3ctDOUgA/2/pRrF7ash1kpmbgZGcCAJiiAvDCQyHx9a/yszix7NFZqZMbwDBqiZOoTlYmoeVEa7ZKFJOaxBrZ56S9Au/axXq17a7KCe3ly5dRWFiItLQ0ACVTEAAgKysLAGBpaQmZTIaMjAwwDIOAgADs2bNHUeKLEEIIqYnxzZR/nhjwGPzub44ex1KQLSqZaiCVAx9dysC/g61hY8hVuqfO4fIg6dQbgrMHFE28q+erldCWnaspo/mzWiFzdIWcxwcjKflFjJORCiYrXWPl0/jBx8DI2fPL+RePQNJjUL35hUblKQd///03BAIBFixYgBcvXij+Fx0djfnz50NPTw9nz55FTEwM5s6diwsXLtBGC4QQQtRmQxczbOhiptTuYszDju7s9leFMnx0KQNiWf2YT1t22gH3/g0gJ6vKz1HeIYwqHGgFjw+ZoyuriaOpaQeiYvBDTio1c+OegfP8kWbeqQUqJ7Tz5s1Dv379MH/+fMXoLACYmZlhwYIF6NOnD+bOnQtTU1MsXLgQw4YNw9GjRzURMyGEEMLS39EAc9oas9quvhLhu9s5WopIvWTO7pA2dlEcM1Ip+GFBVXuIXA5ODNWg1RXK82g1szCMFxYEJq/8vwf8i0c08k5tUDmhvXXrFlq1alXh+datW+PGjRuK486dOyM1NbVm0RFCCCH/SSqQIqlAWuH5hd7G6GHHnje76UEejsXUg8UvDFN+TdqqPCIzDZzcLMWxXKAHmZ2jOqIj1aC0Y5gmNliQy8G/cLjC07wbl6o10q+LVE5oTU1NcfHixQrPnz9/HiYmJorj/Px8GBsbV3g9IYQQUhUt9iejxf7kCs9zOQx+6WkG+zLzZqddyURUdt3fdEHSOYB1zH3+GExyvMr3K003cGwKcFVeSkPUTNq0BeuYG/0EUHPJOU70Y9a8aTnDQGZauqsrIxGD/6/ydIS6SOWEdty4cTh9+jQ++OADXLx4UTGH9uLFixgzZgzOnTuHcePGKa4/d+4c2rRpo5GgCSGENDy2BhzYGlT+Y8tSn4vdvczBf+OyXLEc44IykC+u25suyC1tIW3uyWrjX72g8v1lKxzInGi6gTbJ7Rwh1zdQHDP5OWBSk9T6jrKjs9K2vhAPGMm+JvgYIKv4k4+6QuVfzRYsWICioiJs3boVp0+fZp3jcrmYNm0aFixYAAAoKirCmDFjKp2iQAghhFTFk1F2Kl3nYy3A/zqaYu71bEXb4ywJZl3Nwk/dzcDU4VXd4s59wH1yV3HMu3oeoqETVFqpXrbCAe0QpmUcLmQuzVh/ntwXTyCxbqyWxzPZGSVTCt4gDhgKqWsLCP75BYxYVBJG2itw74ZB6u2nlvdqi8oJLcMwWLp0KT7//HOEhIQgPr7kYw5HR0f06NEDVlZWimv19fUxZswY9UdLCCGEqGBicyPcSBHhQHTp/NkD0YXoaC3Apy0aaTGympH49ID8jw1g/tuGnpP6EpxnDyFzb/3We5WmHDhThQNtkzZpzkpoOdFPgGqUYysPL+SkoiwYAMisG0PaxgfgcCDpFAD+5dLBSf7FIw0noX3NysoKw4cP10QshBBCiFowDIP1fkI8yBDjcZZE0f7VjWx4WQjgYy3QYnQ1YGQMqZdfyW5h/+FfPY/ityW0eTngpL1SHMo5HMjsm2gqSqKislvgqm3HMKkE/CB2pSlxwFCAw/nvv4ewElre/RtgXiVAbuOgnvdrAW19SwghpE7ocSwFPY6lqHy9EZ+D3/zNYcwv/TheLAMmBGcgrajuzhkU+/VlHfPCggFJ5YveuLFlRmcbuwCC+rGTWl1WtnQXJyZSLfNZuXdCwclMUxzLBfoQd+uvOJY1aa60KI0fdKzG79WmChNaMzMzWFhYQCQSKY7Nzc0r/Z+FhWZ2uCCEEELupotxN71q1QrcTfnY3JW96UJigRSfXMqEtI5uuiBt2xFyo9KqQkx+Drj3wiq9h1M2oXWhBWG6QG5pC7mxqeKYKS4C52VsjZ9btr6sxK8PYMSuPCUOGMK+5/JpoLioxu/WlgqnHMybNw8Mw4DH47GOCSGEEG24FGj19ovKMcTFANNbN8KmB3mKtpCkYqwIz8Wi9iaV3KmjeHxIfHuxPlLmh56DtF3XCm/hxJWpcEAbKugGhoG0SXPw3viFhBMdCZlD02o/kpPwArzH4aw2ccC7StdJOvaC/M+tYPJLNl1g8nPBCwuGpPuAar9bmypMaBcuXFjpMSGEEFKbvCyrP+91SXsT3E4V4eorkaJtzb1ctLfiY4CTQSV36iZxl76shJYbcQ3Iz1UahVOcLzNCK6WSXTpD1qQ58EZCy33xpEZJZdnRWamHJ2ROrsoXCvQg7jEQglP73rj3MCTd+qtUNUPX0BxaQggh9R6Pw2BXT3PYlKljOzEkE4dfFGgpquqTubaE7I3yToxEzFooxlJcCCYpjn0/VTjQGdKmZXYMq8kWuAV54IWeZTWVNzqrONdrMORvJK/cmKea2bGsFqic0K5btw79+vWr8PyAAQOwadMmtQRFCCGElLUiPAcrwsvfk14VNoZc7OppDu4bg0/5Ejk+upSJBWFZEEnr0JzacrbC5V8tfytcTnw0mDd2oJLZ2AMGRhoNj6iubKUDTtxzQCyq4OrK8a+cBfPGPFiZ0AKS9t0qvF5u3RjStr7sZ5QZ4a0rVE5oDxw4AB8fnwrP+/j4YN++fRWeJ4QQQmpiVUQuVkXk1ugZfrZ6+N7HVKl9+6N8vHM6DYn5daf6gbgzO6HlRt4Fk6a8NXDZBWE03UC3yE3NIbOwURwzUklJUltVMplSMiruNRjgVV6htewILu9GEJCbVfX3a5nKCW1MTAzc3Sv+S+Dq6orY2JqvzCOEEELKM9/LGPO9yp8jWhVTWzXC2s5CCMr8BLyRKkKPYykIeVk3VnrLbR0gdWWXXuJdU94Kt+wOYVThQPfImrCnHXCrMe2A++gOOMnximM5lwdJz3feep+0jQ9kVqW78DFiMfiXz1T5/dqmckKrp6eH5GTl3/xeS0pKAodDU3IJIYRoxkJvEyz0Vk9Vgo+bG+HMQCs4GHFZ7WlFMgw9l441d3Mhk+v+FARJmZq0/NBzQJm4ObFU4UDXKdWjrUZCy79wmHUs8ekBuVCFcqocLsT+ZUp4BR1VSz3c2qRyBtqxY0f88ccfyM7OVjqXlZWFP/74A76+vuXcWX1SqRTLli1D27ZtYWNjg7Zt22LZsmWQSEp3fZHL5VixYgWaN28OW1tbDBo0CI8fP1ZrHIQQQuqfdlYC/DvYCr3t2RsMyOTAsjs5GH0hHVnFMi1Fpxqxby/IuaVJOScpjj3FQCIGJ/EF6x5KaHWPrMwmB5zoqu0YxqQmgRtxldUm7j1U5fvF3fpDzueXvj81Cdz7N6sUg7apnNAuWLAAqamp6NKlC7Zs2YKgoCAEBQVh8+bN6Nq1K1JTUzF//ny1Brd+/Xrs3LkTq1atwo0bN7By5Ur8/PPPWLt2reKaDRs2YMuWLVi1ahWCgoJgZWWFoUOHIje3ZvOsCCGE6JaINBEi0qq3WKYi5vpc/N3HAl95G6NsoaKzCcXofixF7e9UK2MhpG3Yg0m80HOK/+YkxoB5YxcxmdASchP2RhNE+6QuzVjVBjhJsUCh6tU3+EHHWAv/pM7ukLm1Uj0AYyEkHf3Zz6xji8NUTmi9vb2xf/9+8Hg8LFq0CMOHD8fw4cPxzTffgM/nY//+/ejQoYNag7tx4wb69++PAQMGwNnZGQMHDsSAAQNw+/ZtACWjs9u2bcOsWbMwZMgQtGzZEtu2bUNeXh4OHjyo1lgIIYRoV8/jqeh5PFXtz+UwDOZ5meCfvhYw12P/WIzLk6LvyVTsjsyHXEenIJStdsALuwhISz7JVJpuQPNndZOBEeS2jopDRi4HN0bFUVpRMfghJ1lN4oB3q1xLtuziMO69MDApL6v0DG2q0qTXHj16IDw8HMHBwfjll1/wyy+/IDg4GHfu3EHPnj3VHlynTp1w5coVPH1aMqH9yZMnuHz5Mvr0KfnLGxsbi1evXsHfv/S3CgMDA/j5+SEsrPJtAAkhhNQtnhZ8eFrw335hNfnb6yNksBU6WLHfIZIBs65mYeqVLBRIdG8KgsTbD/I3ynBxsjPBfVgy8MOJK7PlLU030FnSsuW7XqiW0PKuByl2+wIAuZExJJ0Cqvx+WdPmkLo0Uxwzcjn4wceq/BxtqbyWQzkYhoGXlxe8vLw0EA7brFmzkJeXB19fX3C5XEgkEsyZMwcTJ04EALx69QoAYGXF3g7RysoKSUlJFT43KiqqwnOaUNvvI6Wo77WD+l176nPf7/xvmmFUlPJaDnXa6A6s5/HxdxI7sf3rWQFuvczDyhbFcDJQHq3VZt87NfOCxd1QxXHh2UOINTCH++N7eHN/tQS+EbLr4fdIffi+tzQ2h+MbxwX3biLGvX3lN8nl8Dj5F6sppU1nvIyLr+CGypm39oPzG1UxOMHH8axNN8j5Fe/SV5t9X1m1rSontLXp0KFD2LdvH3bu3InmzZvj/v37WLBgAZycnDBu3LhqP7eyDlG3qKioWn0fKUV9rx3U79pDfa8+P3kA/aILMCM0C/mS0uQ1qoCDj+4ZYks3MwQ6l26Zq+2+5w4YDryR0Jo9vQuBQ2MYpSWyrrPp3APWlra1HZ5Gabvv1YXDEQNnS+v5m6YmvvXr4jx7CMPk0l3g5AyDRsMmwP2NXeSqxMkR8uB/wOSXrEPiFeajeUY8JF37l3u5LvW9TtfZWrx4MT7//HMMGzYMrVq1wqhRozBt2jSsW7cOAGBjU1KIODWVPacqNTUV1tbWtR4vIYSQ+mNYU0NcDLRCM1P22E+OWI6xQRn45mY2JDLdmFcr9fCEzLz000pGVATB6f1gigoVbXIjY8jfKOBPdIvM0ZVdsSItGcjJqvSesqW6pJ6dIK9uMgsAevoQdxvAfsfFo9V/Xi3S6YS2oKAAXC67RiCXy4VMVjKHydnZGTY2NggODlacLyoqwrVr19ReQowQQoh2Nd+XhOb7Kp5OppF3Cvm4GGiF95oYKJ3b9CAPg8+kIblAB+p1cjiQdO7NauKf3s86ljq7V3mhEKlFAj3IHFxZTZVtsMBkZ4B34xKrrSqluioi9h/MjiH6cbXq4tY2nU5o+/fvj/Xr1+Ps2bOIjY3F8ePHsWXLFrzzTsnOFwzDYMqUKdiwYQOOHTuGR48eYerUqTAyMsLw4cO1HD0hhBB1Si6UIbmw9hdlGfM5+KWHGVb5moJXJh+8+kqE7sdScDtb+z9Oy1Y7YETFrGNaEKb7ZE3ZO4ZxoitOJHmXToCRltbll9k4QNqq5tWm5DYOkLTpyGqrC6O0Oj2H9ocffsDy5cvx5ZdfIi0tDTY2Nhg/fjzmzZunuGbmzJkoLCzE3LlzkZWVhfbt2+PQoUMwNq759oiEEEJ0x+OR2pv7yTAMPmvZCN6WfEwIzsDLgtLEOqVQhmn39ZBtmIfPWjbSWowyh6aQOrmBG/es/POU0Oo8aZPm4AcfVxxzXzyBuLwLJRKlCgTi3u8CatqxVRzwLnj3byiOedcvonjUZKCRqVqerwk6ndAaGxtj5cqVWLlyZYXXMAyDhQsXYuHChbUYGSGEkNpmZ8h9+0Ua1tFaD/8OscbEkExcelk6AioFg/lh2XAz5SHAXl9r8Un8+lSY0EopodV5yjuGPSnZyrjMVBFu+BVwMtMUx3KBPsRd+qktDqmnL2SWNuCklVSTYsQi8C+fgXjASLW9Q92qlMo/evQIM2fORI8ePeDt7Q1PT0/W/2qjlBchhBCiTZb6XPzTxwJzPJU/CZwZmoUckfZq1Uo6BUDOKP9olwv0Ibd10EJEpCpkjZ0gF5T+QsTJzQKT/krpOkGZxWCSLn0AIzV+Ms3hQtyLPZeWH3QUkOleHebXVE5or127Bn9/f5w+fRq2traIiYmBi4sL7OzsEB8fDyMjI/j5+WkyVkIIIQ3YzNBMzAzN1HYYAAAuh8Gidib4K8AcnDcGzxLypVh6O6fiGzVMbmYJact2Su0yJ1eAo/0RbvIWXJ7Sbm5lF2RxEqLBfXKX1SYOqPlisLLE3QdBziutxcxJeQnug5tqf4+6qJzQLl++HI6Ojrh58ya2bt0KAJg9ezbOnDmD06dPIzExkRZiEUII0Zg9Twuw56nq+9vXhgFOBpjWij1v9pcn+bicVFzBHZon6dJXqY2mG9QdZXcM40azdwzjXzjCvr65J2SOTdUfiIkQko492e/W4cVhKie0ERERGDt2LExNTcH5b9Lx6/JZvr6+GD9+PJYvX66ZKAkhhDR46/2EWO8n1HYYSr7yNoGTPvuj2BmhmVrbJlfSvivrY2sAkDm5aSUWUnUypS1w3xihzc8FL/Qc67xIDaW6KiIOeJd1zL17DUxq7ZbOU5XKCS3DMDA1LVndZmhoCADIyMhQnHdzc8Pjx4/VHB4hhBBSYoKHESZ4GGk7DCUGPAZfu4tYbS9ypVh+J1c7AekbQtI5QHEo5/IgbfWWLVSJzpA2LTNC+yJSMXeVH3oWjKhIcU5mZgmpd1eNxSJzbcka3WfkclYVBl2ickLr5OSEmJgYAICenh6cnZ1ZGxpcvXoV5ubmag+QEEII0XXtTGX4tDk72d76MA83U0QV3KFZxaOnQdwpAFInNxR/Mg9yKzutxEGqTm7dGHIjE8UxU1QAJjkekMmUphuIew0GeBosWMUwEPsPYTXx/z0JiLQ3paYiKie0/v7+OHy4dFXd+PHjsXfvXgwePBiBgYHYv38/RowYoZEgCSGEkNNxhTgdV/j2C7VkcQcTODYqXXglB/D5lUwUSbSwPa6BIYqnfIPC73eWO6eW6DCGgbQJe4MFbvQTcB/eAudVgqJNzuVB0vMdjYcj6dwbcsPSX9aY3GzwboZo/L1VpXJC++WXX2L37t0Qi0tK/M6aNQtff/01MjMzkZubiwULFuCrr77SWKCEEEIattEXMzD6YsbbL9QSYz4HG8vM8Y3MlmD1Xe1VPSB1k6xMQst58URpdFbSsSfkprXwybiePsRdB7Ca+BePlH+tFqk8Ti0UCll1ZhmGwZw5czBnzhxNxEUIIYSw9HPU3oYFquplr4+x7ob4Paq0GsP6+3kIdDaAl6VAi5GRukRaZoMFXsRVMOkprDaxBheDlSUOGALBuYOKY+7zR+DEPAXAVHxTLVN5hDYwMBAhIRUPMf/7778IDAxUS1CEEEJIWft7W2B/bwtth/FW3/uYws6w9MerVA58HpoFsUwLUw9InSQrszCMk/YKjLz0+0fq3Awy15a1Fo/c1hGSVh1Ybbo2SqtyQnvlyhWkpKRUeD4tLQ2hoaFqCYoQQgipq4R6HKwrM/XgQYYY6+9pqeoBqXPkQgvIzCwrPC/uPVRpO1xNE/d+l3XMu34R3ML8Wo2hMlXa+rYyiYmJMDLSvXIqhBBCSG3r72iAEU0NWG0/3M3F40yxliIidU3ZerSvyY1MIOnkX8vRAFLPTpCZWyuOGVExzO9drfU4KlLpHNqTJ0/i1KlTiuPdu3fj0qVLStdlZWUhJCQE7dtTnTtCCCGaIdyVCADI+shey5GoZqWvKYJfFiOtqKSGqFgGTLuSiXODrMDj6M7cQ6KbpE2bg3fnilK7uMcgQKBX+wFxeRD7D4bewZ2KJsvblyAZMxngqG18tNoqTWgjIyNx9GjJNmcMw+D27du4e5e9fzDDMDA0NESXLl2wYsUKzUVKCCGE1CEW+lys6STEhEullRnupImx7WEeprcx1mJkpC4oO48WAOQMA7H/YC1EU0LSfSAEh3eDkUoAAPoZKSh8dAfS1h3ecqfmVZrQzp49G7NnzwYAmJmZYdOmTVRrlhBCiFbUlZHZNw1x0Uegsz6Ox5bu7rQ8PAcDnPThZsrXYmRE10ldPJTbPDtrdZMMuak5JB17gn/tgqKNf/GwTiS0Ko8RZ2ZmUjJLCCGEVAHDMFjTSQihoHSKQZEUmB6aBZmcqh6QShgZQ2bnxGqqzVJdFXlz57ACO2dI2nfXYjSltD/pgRBCCKnHbAy5WOkrZLVdeyXCzse6s0Kc6CZR4IeK/5a07wZpK+2vVZK5t4Yo8EMULN6KyI+/hqRrP22HBKCSKQdt27YFh8PBzZs3wefz0bZtWzBvKRHBMAwiIiLUHSMhhBCCkRfSAaBO1KIta6SrAf6JLsD5xGJF29LbOejnqA9nY5X3OCINjKRLX+Q3bQ4mL6dk9zAdWHwFhoFo+MSS/46K0m4sb6jwb1GXLl3AMAw4/3Xe62NCCCFEG87GF739Ih3FMAzW+QnR+UgKcsUlUw3yJXLMvJqFw30t6OcrqZDczgk0OeXtKkxot23bVukxIYQQUpv+CqiFfes1yKERD9/7mGLW1SxF26WXxfg9qgDjmlEdd0JqQgfGrgkhhJC3G+BkgAFOBm+/UIeNb2aI7nbsGqKLbmTjZb5USxERUj9UaeKORCLBX3/9hbNnzyIuLg4A4OTkhH79+mH06NHg8WgeECGEEFIRhmGwsYsQfkdSUCAp+SA5RyzHF9eysC/AnKYeEFJNKo/QpqamolevXpgxYwauXLkChmHAMAyuXLmCGTNmoGfPnkhJSdFkrIQQQhqw3ZH52B1Z9ysDuBjzsLi9CavtbHwRDkQXaikiQuo+lRPaefPmITIyEps2bcLz588REhKCkJAQPH/+HBs3bsTTp08xf/58TcZKCCGkAZt1NYs1/7Qum9TCCJ2sBay2+WFZSCmkqQeEVIfKCe2FCxfw2Wef4cMPPwSXy1W0c7lcjB07Fp9++ikuXLhQyRMIIYSQ6hvfzBDjmxlqOwy14DAMNnUVQq/0xykyi+WYdz1be0ERUoepnNAKBAI4OjpWeN7Z2Rl6enoVnieEEEJqYkMXM2zoYqbtMNTG3ZSPhV7sqQdHYgpxNIamHhBSVSontO+99x7++ecfiMVipXMikQj//PMPhg7V/pZshBBCSF3xeetG8LLgs9rmXs9CRhFNPSCkKlQuSzB48GBcvXoVvXr1wscff4ymTZsCAJ4/f45du3YBAIYMGYLbt2+z7mvfXvvbtBFCCKn7kgpKkjw7Q+5brqw7eBwGW7qaoefxFIhlJW0phTK8dy4d/Rz14WXBh5eloF59zYRoQpUS2te+/PJLRWkRuVxe7jVyuRwMwyAjI0MdcRJCCGngWuxPBgBkfWSv5UjUq5U5H1+2NcbKiFxFW0S6GBHppZ+I2hpw4GkpgLcFH16WfHhbCGBDSS4hCiontFu2bNFkHIQQQkilbA3q715As9sa41hsIR5lSso9n1woQ3J8EWv7XztDDrwsBIoE18uSD2sDSnJJw6RyQjtmzBhNxkEIIYRU6skoO22HoDECLoNfe5rj/fPpiMtTbf5sUoEMSQVFOP1GkmtvyIWnJf+/kVwBvC35sNSnJJfUf7S1FyGEEKIDmgv5CB9mg8dZEkSkixCRJkZEugj3M8QoVnGNWGKBFIlxUpyKK0lyGQDvNTHAD51MYUGJLanHqpTQFhUV4fjx44iIiEBOTg5kMhnrPMMw2Lx5s1oDJIQQQhoKLodBa3M+Wpvz8aF7SZtYJseTLAnC00S4my5GeJoIDzNVS3LlAP55UYjLycXY4CfEACcDjcZPiLaonNAmJCQgMDAQMTExMDU1RU5ODszMzJCVlQWZTAYLCwsYGRlpMlZCCCENWI9jJdurhwy21nIktYvPYdDGnI825qXlvcQyOR5nliwci0gTIzxdhIcZYohk5T8jpVCG0RczMNbdEMs7msJEUH/nI5OGSeWEdsmSJcjIyMC5c+fQtGlTuLm54ddff0WnTp2wZcsW7Nq1C0ePHtVkrIQQQhqwu+nKddAbKj6HQVsLAdpaCDCuWUmbSCrHo0yxYhT3SrIIz3LYi8x+jypASFIxtnYzQ1db2gyJ1B8q/4p26dIlfPLJJ/Dx8QGHU3qbnp4eZs+eDT8/PyxcuFAjQRJCCCGXAq1wKdBK22HoLAGXgZelAOM9jLC+ixmuDbXGAi9jcBn2dXF5UgSeTsOiG9koksjLfxghdYzKCW1+fj5cXFwAlGyDCwC5uaU18zp37ozQ0FD1RkcIIYT8x8tSAC9LgbbDqDP4HAYLvE1w4R0rNDNlfyArB7D5YR56Hk9BRJpIOwESokYqJ7R2dnZITi4pam1kZAQzMzPcv39fcT4+Ph58Pr+i2wkhhBCiBd6WAoQMtsaUlsrrXJ5kSdD7RCpWR+RAIqPRWlJ3qTyH1s/PD0FBQZg3bx6Akl3BNm/eDB6PB5lMhu3bt6Nfv34aC5QQQkjDtiI8BwCw0NtEy5HUPQY8Bit8S6ocTL2ciYT80hIJEjmwPDwXZ+KLsL27GdxNaXCK1D0qJ7RTp05FcHAwioqKoK+vj2+//RYxMTH43//+BwDo2rUrVq5cqbFACSGENGyr/tsalhLa6utup4fQd62xMCwbfz4rYJ27nSZG96Op+LaDCT5tYQQOw1TwFEJ0j8oJbatWrdCqVSvFsVAoxJEjR5CVlQUulwtjY2ONBEgIIYQAwHwv+jmjDqYCDrZ2M8MgJ33MvJqFtKLSWl+FUjnmh2XjVFwRtnQVwqER7b9E6oYaF6ITCoWUzBJCCNG4hd4mNDqrRoOcDXDtXWsMctJXOheSVAy/oynY96wAcjnNrSW6T+WEdt26dZXOke3fvz82bdqklqAIIYQQonlWBlz84W+Obd3MYMJnTzHIEckx+XImxgVnIK1Ixb13CdESlRPaAwcOwMfHp8LzHTt2xL59+9QSFCGEEFJWRJqISkxpAMMwGO1miNB3rdHdTnmzheOxReh8OAWn4gq1EB0hqlE5oY2JiYG7u3uF511dXREbG6uWoAghhJCyeh5PRc/jqdoOo95ybMTDkX4WWOlrCn0u+1xqkQxjLmZgVmgmiqU0BYHoHpUTWj09PUUd2vIkJSWxdhAjhBBC1MnTgg9PCyoppUkchsHklo3w72BreFsq9/XupwV453QqkgpoCgLRLSpnoB07dsQff/yB7OxspXNZWVn4448/4Ovrq9bgCCGEkNdCBlsjZLC1tsNoEJoJ+Tg3yAoLvY3BK1O962aqGD2PpeBGSrF2giOkHContAsWLEBqaiq6dOmCLVu2ICgoCEFBQdi8eTO6du2K1NRUzJ8/X5OxEkIIIaSW8DkM5nuVbJ3b1Jg9B+FVoQyDTqfht6f5WoqOEDaVC8x5e3tj//79mDlzJhYtWgTmv4LLcrkcLi4u2L9/Pzp06KCxQAkhhBBS+7wsBQgKtMbEkAxcSCwdlRXLgBmhWbibLsaKjqYQcGkjBqI9VaqY3KNHD4SHh+Pu3bt48eIFAKBJkybw9PRUJLiEEEKIJjTflwQAeDLKTsuRNDxCPQ7297bAsjs5WHc/j3Xulyf5eJQpxp5e5rA24FbwBEI0q8pbgDAMAy8vL3h5eWkgHEIIIaR8yYWyt19ENIbLYbCkgynaWvAx7UoWCiSl1Q6uvRKh57EU/OFvgXZWAi1GSRqqapclSE9Ph6enJ27cuKHOeAghhJByPR5pi8cjbbUdRoM3tIkhzg2ygnMj9mjsywIZBpxOxZ9RNK+W1L5qJ7RSqRRxcXEoLNRsoeXk5GRMnjwZrq6usLGxga+vL65cuaI4L5fLsWLFCjRv3hy2trYYNGgQHj9+rNGYCCGE1D47Qy7sDOkjbV3Q2pyP4EAr9CizEUOxFJh6JQvzr2dBLKN6taT26HTh2KysLPTr1w9yuRx///03wsLC8MMPP8DKykpxzYYNG7BlyxasWrUKQUFBsLKywtChQ5Gbm6vFyAkhhJD6zVyfi3/6WuDzVo2Uzu14nI/3zqbRlrmk1uh0Qrtx40bY2tpix44daN++PVxcXNCjRw94eHgAKBmd3bZtG2bNmoUhQ4agZcuW2LZtG/Ly8nDw4EEtR08IIUSdZoZmYmZoprbDIG/gcRgs62iKn7qbKe0udjlZhJ7HUnE3nbYrJpqnUkJbWFiIadOm4ejRo4o2IyMjzJ8/Hy4uLpqKDSdPnkT79u3x0Ucfwc3NDV27dsVPP/0EubzkY4zY2Fi8evUK/v7+insMDAzg5+eHsLAwjcVFCCGk9u15WoA9Twu0HQYpx/uuhjgz0AoORuysNiFfiv4n03DgOf25Ec1SKaE1MDDAkSNHWLuEGRkZYcGCBXB2dtZYcDExMfjll1/g4uKCf/75B5MnT8bSpUvx888/AwBevXoFAKwpCK+PU1JSNBYXIYSQ2rfeT4j1fkJth0Eq4GUpQHCgFbrYsqscFErl+PTfTHxzMxsSmldLNKRKGyvcv39fk7Eokclk8Pb2xpIlSwAAnp6eiI6Oxs6dOzFp0qRqPzcqKkpdIerk+0gp6nvtoH7Xnvrc913+G4LR1S+xPvd9VaxpCqxn+NifxGe1b3qQhxsJ2VjuUQxTfgU3VxP1vfbUZt+7u7tXeE7lhHbFihUYPnw4mjVrhvHjx0Mg0HydORsbG8V82deaNWuGhIQExXkASE1NhaOjo+Ka1NRUWFtXvN93ZR2iblFRUbX6PlKK+l47qN+1h/pee6jv2XZ4AN2j8jH7WhaK31gXFpbFxScPjbE3wAKtzdWT1VLfa48u9b3Ki8ImTpwIAJg/fz4cHBzQtm1b+Pr6sv7XqVMntQbXqVMnPHv2jNX27NkzRfLq7OwMGxsbBAcHK84XFRXh2rVr8PX1VWsshBBCtOt0XCFOx2m2VCRRnw/cjXBqgBUaG7JTjdg8KfqeTMXG+7lIKaQqCEQ9VB6htbS0hJWVVa1m4lOnTkXfvn2xZs0avPfee7h37x5++uknfPPNNwBKdi2bMmUK1q5dC3d3d7i5uWHNmjUwMjLC8OHDay1OQgghmjf6YgYAIOsjey1HQlTV3kqA4EBrjAvOQFhKabWDAokci2/lYOntHATY62G0myEGOBpAn8doMVpSl6mc0J48eVKTcZSrXbt22Lt3L7777jusXr0aDg4O+OqrrxSjxQAwc+ZMFBYWYu7cucjKykL79u1x6NAhGBsb13q8hBBCNKefo762QyDVYGPIxfH+llgQlo1fI9m7iEnlwLmEYpxLKIaJIAvvuRhglJshfK0FYBhKbonqmKysLFpyqEG6NL+koaG+1w7qd+2hvtce6nvV7I7Mx4KwLLxtv4UmxlyMcjPESFdDuBhXPvZGfa89utT3VdpYISMjA8uWLUO/fv3Qrl073LhxQ9G+atUqREZGaiRIQgghhNR9EzyMEDHcFt93MEFLYcWJ6otcKVaE58Lr4CsMPJWK357mI1skq8VISV2jckIbGxuLrl27YvPmzRCLxYiJiUFhYcnkfHNzcxw6dAg7d+7UWKCEEEIIqftsDbmY3sYYoe9aI2SwFaa0NIKlfsXpyNVXIsz4f3t3HhZlufcB/Psw7OvITuwIiAsumTtQR3JBtCQ1MY++2gKppzy+rpiV2eaCHs1Mj2WYimkvaUKknnILFcRK0yMlBoSiIAgOywADDPP+QU6OLI45w8zA93NdXJfczz3D7/ldt/qbm/u571MSdNtTiBdPlOG7glruZ0vNqL2G9s0334RCoUBGRgZsbGzg7++vcn3MmDE6WWdLRESdgzjhOgA+FNZRCIKAPg6m6ONgihUD7HDkei0+/60aB6/WoqXJ2Fo5kJRbg6TcGrhaGGFSV0tEd7WE9jcRJUOgdkF7/PhxvPrqq/Dx8UFZWVmz697e3rhx44ZGgyMiIqKOz8RIwGhPC4z2tIBE1oj9eTX4/LdqZJbUtdi/qKYRG/9bhY3/rUI3K3NE11RirLc5AjR9YgMZDLULWplMBrFY3Or18vJyGBk90JJcIiIitXFmtnMQmxlhZpAVZgZZIae8AXtyqrEnpxrXqlp+kuyy1Ahv/di0BViQ2BhjvSww1tscfRxMuFNCJ6J2Bdq9e3ecOnWq1eupqano3bu3RoIiIiIi6mpnjNcetcXPE13wdYQjpgZYwrqNvWp/lTQg/kIlnkgpQe+km4g7I8GpIhnkXHPb4ak9Qztr1izExsaie/fuiIqKAgA0NjYiOzsbq1evxg8//IDExEStBUpERESdk5EgIMTVDCGuZlgz2A6p+U3rbY8XytBarXqtSo7NWVJszpLC0dwIY7zMMc7bAmFuZjATcea2o1G7oJ00aRIKCgrw3nvv4b333gMATJgwAQBgZGSEt956CxEREdqJkoiIOr3J35UCAPY+6aDjSEiXLI2bHgib1NUShdVyJPxwFZk1NkgrlEHeSnF7q7YRO7KrsSO7GrYmAkZ6NhW34e5msDbhcsmOQO2CFgDmzZuHSZMmITk5Gbm5uWhsbISvry/GjRsHHx8fLYVIREQEHL5Wq+sQSM+4WYowya0BSwMccVvWiEPXapGSX4Oj12tbPbyhol6h3C3BTAQMf8QcY73NEeFpDntzUfveAGnMAxW0AODh4YHZs2drIxYiIqJWfR5ur+sQSI91MTPCFH9LTPG3hLS+Ed9dlyE1vwaHrtWior7lqVuZHDh4rRYHr9VCJACDXUwRaGcMDytjeFiL4GHV9PWIlQgmRlymoM8euKDNzc3Ff/7zH1y9ehVA03ZdI0aMgJ+fn8aDIyIiuiPCy0LXIZCBsDIxwtM+FnjaxwJ1cgXSimRI+b0GqVdrUVLb8oljcgVwqqgOp4qabxUmAHCzNGpW6N75s6e1McSmAndV0CG1C1q5XI7FixcjISEBjY2qg2Hp0qWYMWMGVq9eDZGI0/VERESkH0xFAsLdzRHubo61QxTILKlDSn4Nvs6vxdVWtgK7lwLAjepG3KiuQ2ZJy32sjAWVItfHxhiDnE3R38mUD6G1A7UL2nfeeQfbtm3D5MmT8fLLL6Nr164AgJycHGzZsgUJCQmwtbXFm2++qbVgiYio89p+WQoAmNHNSseRkKESGQkY4mKGIS5meHeAAhfK6vF1fi2+zq/BL5KGh3pvaYMCl8sbcLlc9X0sRAIGOpsixNUUIW5m6O9oClMWuBqndkGbmJiI8ePHY8uWLSrtffv2xZYtW1BTU4PExEQWtEREpBX/PC0BwIKWNOPuo3dfe9QWuRUNyLpdj2tVchRI5SiQNqDgjz/frGl5mYI6auQKnCiU4UShDDhXCQuRgEEupgh1NUOIqyn6scDVCLUL2urqaoSEhLR6PSwsDEeOHNFIUERERPf6n0BLXYdAHZifrTH8bFsui2RyBW5I5bgmlaOgquGPgleuLHgLpHJUN6h3eEONXIHjN2Q4fkMGALA0FjDYuWn29k6BywfQHpzaBe3QoUORkZGBF154ocXrGRkZGDp0qMYCIyIiutuGYV10HQJ1UmYiAb62xvC1NQZg1uy6QqHAbVnjHwVvU+H70606nCyU4UZ127O71Q0KHL0hw9E/ClwrYwGD78zgupmhr4MJjFng3pfaBe3atWsxceJEzJ8/HzExMcpdDXJzc/Hvf/8bFy9eRFJSktYCJSIiItJHgiDA3lwEe3MR+tx17odCocDvlXKkFclwslCGtCIZCu9T4EobFDhyXYYj15sKXGtjASFuZljQxwaPOZlq8zYMmtoF7YABA6BQKJCdnY2EhATl1hQKRdMUu7GxMQYMGKDyGkEQcOPGDQ2GS0REnVVhddMT6W6W3E2HDIMg/DmzOz3QCgqFArkVcpwskimL3KL7rM+talDg0LVaHLleiw1DxXgugGvIW6J2QRsVFcX91YiISGe67y0CAEhmuus4EqK/RhAEdLUzRlc7Y/xPt6YCN6eiAWmFdcoit7iVAre+EZh9UoLcCjmWPmoDI9ZkKtQuaDdv3qzNOIiIiNrkamGk6xCINEoQBPjbmcDfzgQzg5oK3CvlDX/M3jYVufceBBF/oRK5lQ3YFNIFFsYsau944JPCiIiIdOHXaDddh0CkVYIgIFBsgkCxCV4IalrW+WVeDeacvA3ZXWdA7MurQUGVHInh9nCy4BIcAODHXSIiIiI9JAgCJvpZImW0IxzNVUu2zJI6PPl1CS5L6nUUnX5hQUtERESkxwY6m+G7sU7oZqf6i/X8KjlGpJbgxI1aHUWmP1jQEhGRQXg8uRiPJxfrOgwinfCxMcbhSCc87qa6D25FnQIT/lOKHdlSHUWmH1jQEhGRQfi5tB4/l/LXq9R5ic2MkDTSAdPvOTWvQQG8ekqC5T+Uo1Gh3ollHQ0fCiMiIoNwfJyTrkMg0jkTIwEbhorhb2uMN36oULm2/mIVcisasCWsCyyNO9ec5V8qaKuqqiCRSJSHKtzN09PzoYMiIiK6V19HnpJEBDQ9LPZqsA28bYwR+30Zau/aASE5vxbXD97C7nAHuHSiQ0jULmhra2uxatUq7Ny5E2VlZa32a+saEREREWnG0z4W8LBywpQjpSoHMvx4qx7hX5fgixEO6NHFRIcRth+1C9r58+fj888/R2RkJIYMGQKxWKzFsIiIiFS9f67p16tx/Wx1HAmR/ujvZIrvxjoh+ttSZEkalO0FUjlGp5Yg4W/2CHc312GE7UPtgjYlJQXTp0/H+vXrtRgOERFRy1adrwTAgpboXl7WxjgY6YTnj5fhyHWZsr2iXoFnvy3FmsFiPB9kpcMItU/tFcOCIKBPnz7ajIWIiKhVi/vaYHFfG12HQaSX7EyNsPdJB7xwT+EqVwD/my7Ba5nlkDd23B0Q1C5ox4wZg+PHj2sxFCIiotbF9bPl7CxRG4yNBMQPtsO7A+0g3HNt06UqTDtWBml9Y4uvNXRqF7Tz589HXl4eXn31Vfzwww8oKipCSUlJsy8iIiIi0g1BEDCnpzV2DbeHpbFqWfvN1VpEHryFwmp5K682XGqvoR0wYAAA4OLFi9i1a1er/bjLARERacP5W3UAuH0XkToivS3wTYQI0d+VouiuHRDOl9ZjZGoJDoxyhJ9txzmOQO07WbRoEQTh3glsIiKi9vFEStNvASUz3XUcCZFh6OtoiiPjnDH5u1L8t+zPU/auVckx+psS7B/piJ72HWNbL7UL2ri4OG3GQURE1KY+Dh3jP16i9uRuJcLBMY548XgZDhf8uQNCcU0jIg+W4P9GOGKAs+H/1qNznYtGREQG68RTzjjxlLOuwyAyODYmRkgMd8Bz/pYq7ZI6BcYfvoUTN2p1FJnmtDpD+/nnnwMAoqOjIQiC8vv7mTJlimYiIyIiIiKNMDYS8GGIGDYmAv79i1TZLm1QYNK3pUh4wh6R3hY6jPDhtFrQzp49G4IgYMKECTA1NcXs2bPv+2aCILCgJSIiItJDRoKAlYPsYGdmhNV/HFQCAHWNwPRjZfgotAsmd7Vs4x30V6sF7c8//wwAMDU1VfmeiIhIF4L2FAIAfo1203EkRIZLEAQs7WcLWxMBy85WKNvlCiD2+9uorGvEi92tdRjhX9NqQevl5dXm90RERO3p7q2HiOjh/KOXDWxNjfDP0xLcfYDYgoxyVNQrMC/Y2qB2t+o4G5AREVGH9stkV12HQNShTA+0gq2JEV76vgx3HyC24scKlMsasfwxW4MparnLARERGQQ3SxHcLEW6DoOoQxnva4Hd4Q6wEKkWrhv+W4X/TZdAfvf0rR5jQUtERETUiY3wMMeXIx1ga6Ja1CZcrkZs2m3UG0BRy4KWiIgMwtxTtzH31G1dh0HUIQ11NUPyaEc4mKmWhkm5Nfj7kVLUNOh3UcuCloiIDMJn2dX4LLta12EQdVh9HU3xzRhHPGKpWh4eLpBh4re3UFGnvw9msqAlIiKDsH6oGOuHinUdBlGH1k1sgoNjnOBro7pe/VRRHcYfvoWyWrmOImvbAxW0EokE7777LsLCwuDj4wMfHx+EhYXh3XffhUQi0VKIREREwIxuVpjRzUrXYRB1eN42xjg4xgk9xKqbYf10qx5jDt5CYbX+FbVqF7S5ubkICQlBfHw8GhoaEBoaitDQUDQ0NCA+Ph7Dhg1DTk6ONmMlIiIionbgailC6hgnPOZkotL+q6QBo1NL8Htlg44ia5naBe3ChQtRUVGBAwcO4PTp09i5cyd27tyJ06dP46uvvkJlZSUWL16szViJiKgTO3i1Bgev1ug6DKJOo4uZEfaPckSYm5lKe36VHKNTS5Aj1Z89atUuaNPT0/Hyyy8jLCys2bXHH38csbGxOH36tEaDIyIiumPKkTJMOVKm6zCIOhUbEyN88aQDIjzNVdqLahoRe9EcF8vqdRSZKrULWjs7O4jF4lavi8Vi2NnZaSImIiKiZkZ5mmPUPf+pEpH2mRsL2DHcHs/6Wai0O5sq4GmlH4edqF3QTps2Dbt27UJlZWWza+Xl5di1axemT5+u0eCIiIju2PukA/Y+6aDrMIg6JRMjAVvCuuDFoKYHM/1sRNjYqxZiM/3YMMv4/l2aBAQEQBAEPPbYY5gyZQr8/PwAADk5OdizZw+cnJwQEBCA/fv3q7wuKipKY8GuW7cOK1aswEsvvYQ1a9YAABQKBVauXInPPvsMEokE/fv3R3x8PLp3766xn0tERETU2RkJAtYMtoOntQhRvhaQFTaf5NQVtQvamJgY5Z83bNjQ7HpxcTFiYmKgUPx5koQgCBoraM+ePYvt27ejZ8+eKu0bNmzApk2bsGnTJgQEBGD16tWIiorC2bNnYWNjo5GfTURERERNtd3c4Kb66oqOY7mb2gVtSkqKNuNoU3l5OV566SV8+OGHWLVqlbJdoVBg8+bN+Oc//4mnn34aALB582YEBAQgKSkJM2fO1FXIRESkYeKE6wAAyUx3HUdCRPpG7YI2JCREm3G06U7BGhYWplLQ5ufn4+bNmxg+fLiyzcLCAkOHDsWZM2dY0BIRERF1AmoXtLry2WefITc3F1u3bm127ebNmwAAJycnlXYnJycUFha2+p5XrrTvJHl7/zz6E3OvG8y77nTk3J/9Y15FX+9RX+PqDJh73WnP3AcEBLR67YEK2uLiYuzcuRPnz59HRUUFGhsbVa4LgoDk5OS/FmULrly5ghUrVuDQoUMwMTG5/wvU1FZCNO3KlSvt+vPoT8y9bjDvusPc6w5zrzvMve7oU+7VLmizsrIwduxYVFdXw9/fH1lZWQgKCoJEIkFhYSF8fX3h7q7ZdU2ZmZkoLS3F4MGDlW1yuRynT5/Gp59+ioyMDABASUkJPD09lX1KSkrg7Oys0ViIiIiISD+pvXnYW2+9BXNzc5w5cwYHDhyAQqHA+++/j6ysLHz88ceQSCR4++23NRpcZGQkTp8+jbS0NOVXv379MGHCBKSlpcHf3x8uLi44duyY8jW1tbVIT0/HoEGDNBoLEREREekntWdoMzIyMGfOHHh7e+P27dsAoNyia+LEicjIyMDrr7+u0d0QxGJxs9PJLC0t0aVLF/To0QMAMGvWLKxbtw4BAQHw9/dHfHw8rKysMHHiRI3FQURERET6S+2Ctr6+Hq6urgAAc/OmowfLy8uV14ODg7Fnzx4Nh3d/c+fORU1NDRYuXKg8WGHfvn3cg5aIiIiok1C7oPX09ERBQQGApq2xXF1dkZmZqdz/NSsrC1ZWVtqJ8i6pqakq3wuCgLi4OMTFxWn9ZxMRERGR/lG7oA0NDUVqaiqWLl0KAJg0aRI++ugj5W4He/fuxbRp07QWKBERERFRS9QuaOfOnYvQ0FDIZDKYmZnhtddeg0QiwYEDByASiTB58mSNPxRGRERERHQ/D7Tk4O6tsczMzPDBBx/ggw8+0EpgRERERETqUHvbLiIiIiIifXTfGdojR47AyspKebiBVCrFokWLmvXz9PTEkiVLNB8hEREREVEb2ixo09LSMGnSJOzYsUPZJpPJsHv3bpibm0MkEinbq6urMWzYMISGhmovWiIiIiKie7S55CAxMRE9evTA2LFjm13bs2cPCgoKlF9BQUFITEzUWqBERERERC1ps6DNyMhARESEWm80btw4nDlzRiNBERERERGpq82CtqioCN7e3iptpqameOaZZ+Di4qLS7u7ujqKiIs1HaOACAgJ0HUKnxdzrBvOuO8y97jD3usPc644+5b7NNbQmJiaQyWQqbdbW1ti2bVuzvvX19SpraomIiIiI2kObM7ReXl748ccf1XqjH3/8EV5eXhoJioiIiIhIXW0WtKNGjcL+/fuRk5PT5ptcuXIF+/btw+jRozUaHBERERHR/bRZ0M6ZMwfW1tYYO3YsDhw4ALlcrnJdLpdj3759eOqpp2BjY4M5c+ZoNVgiIiIionsJEolE0VaHc+fOYerUqSgqKoKFhQX8/f1hZWWFqqoq5OTkoKamBi4uLkhMTMSjjz7aXnETEREREQFQ4+jbfv36IT09Ha+//jqCg4Nx9epVZGZm4urVq+jVqxdef/11pKend8hi9tSpU4iOjkb37t0hFoub7bNbXFyMWbNmISgoCG5ubpgwYYLK8oz8/HyIxeIWvz744ANlP5lMhoULF8LPzw+PPPIIoqOjcf369Xa7T33UXrmPjIxsdv35559vt/vURw+bewC4efMmYmJiEBgYCDc3NwwbNgxffPGFSh+JRIKYmBh4eXnBy8sLMTExkEgk2r49vdZeuQ8ODm427pcvX67t29Nrmsh9Xl4epk6diq5du8LT0xMzZsxAcXGxSh+O++baK/cc982tW7cOf/vb3+Dp6YmuXbti8uTJyMrKUumjUCjw/vvvIygoCK6uroiMjMQvv/yi0kedcX3p0iWMGTMGrq6u6N69O1atWgWFos051Qdy34IWAOzs7DBv3jwcOnQIeXl5uHXrFn7//XccPnwY8+bNg1gs1lhA+kQqlaJHjx5YuXIlLCwsVK4pFApMnToVubm5SExMxPfffw9PT088/fTTkEqlAAAPDw9cvnxZ5Wvt2rUQBAFPPfWU8r3i4uKQkpKCbdu24ZtvvkFlZSUmT57cbIlHZ9JeuQeAqVOnqvT717/+1W73qY8eNvcA8PLLLyM7Oxu7d+9Geno6oqOjERsbi1OnTin7vPjii7hw4QKSkpKQlJSECxcuIDY2tt3uUx+1V+4BYNGiRSrjfsGCBe1yj/rqYXMvlUoRFRUFhUKB5ORkHDp0CHV1dYiOjkZjY6PyvTjum2uv3AMc9/c6efIkXnjhBRw+fBjJyckwNjbG+PHjcfv2bWWfDRs2YNOmTVi1ahWOHj0KJycnREVFobKyUtnnfuO6oqICUVFRcHZ2xtGjR7Fy5Ups3LgRH374ocbu5b5LDqiJu7s7Vq9ejalTpwIAfvvtNzz22GNIS0tDcHAwAKCxsRGBgYF44403MH369BbfZ/z48RAEAfv37wcAlJeXw9/fH5s2bcKzzz4LACgoKEBwcDCSkpIQHh7eDnen37SVe6BphrZHjx5Ys2aN9m/EAP3V3Lu7u2PVqlX4+9//rnyvXr16ITY2Fq+88gouX76MQYMG4dChQxg8eDAAID09HRERETh79qxe7W2oK9rKPdA0UxUTE6P8nlT9ldwfPXoUEyZMQF5ennKSp7y8HD4+Pti/fz+eeOIJjns1aCv3AMe9OqqqquDl5YXExERERERAoVAgKCgIL730krL4r6mpQUBAAN5++23MnDlTrXG9bds2LF++HNnZ2coPLWvWrMGnn36KrKwsCILw0LGrNUNLzd3Zn9fc3FzZZmRkBDMzM6Snp7f4mt9//x0nTpzAjBkzlG3nz59HfX09hg8frmzz8PBAt27dePJaKzSV+zu+/PJL+Pn5YfDgwVi2bJnKp05SpW7uBw8ejK+++gplZWVobGxEamoqSktL8fjjjwMAMjMzYW1tjUGDBqm8xsrKiuO+FZrK/R0bN26Er68vQkJCEB8fj7q6uva5EQOkTu5lMhkEQYCZmZmyj7m5OYyMjJR9OO4fnKZyfwfHfduqqqrQ2Nio/GCQn5+PmzdvqtQoFhYWGDp0qHLMqjOuMzMzMWTIEJUZ+PDwcBQWFiI/P18jsbOg/YsCAwPh4eGBFStW4Pbt26irq8P69etx/fp13Lx5s8XX7NixA46OjhgzZoyyrbi4GCKRCA4ODip9nZycmq3/oSaayj0ATJo0CR9//DFSUlKwcOFCJCcntzrDS+rnPiEhAYIgwM/PD87OzoiJicEnn3yC3r17A2ga9w4ODiqfygVBgKOjI8d9KzSVewCIjY3FJ598gpSUFMTExOCjjz7C/PnzdXFbBkGd3A8YMADW1tZ44403IJVKIZVKsWzZMsjlcmUfjvsHp6ncAxz36liyZAmCg4MxcOBAAFDmz8nJSaXf3TWKOuO6uLi4xfe4c00TWND+RSYmJti1axfy8vLg6+sLNzc3pKWlYcSIETAyap7WhoYGJCYmYsqUKTAxMdFBxB2HJnM/Y8YMhIeHo2fPnpgwYQISEhJw7NgxnD9/vp3uxrCom/t33nkHpaWlOHDgAI4dO4ZXXnkFs2bNwsWLF3UYvWHTZO7/8Y9/ICwsDL169cL06dOxdu1a7Ny5E2VlZbq4Nb2nTu4dHR2xfft2fPvtt/Dw8ICXlxfKy8vRp0+fFv9dIvVoMvcc921bunQpMjIysHPnToM8+bXNo2+pbX379sXJkydRXl6O+vp6ODo6Ijw8HP369WvW9+DBg7h582az2T9nZ2fI5XKUlpbC0dFR2V5SUoIhQ4Zo/R4MlSZy35J+/fpBJBIhNzcXffv21ULkhu9+uc/Ly8PWrVtV1rwFBwcjPT0dW7duxcaNG+Hs7IzS0lIoFArlp3qFQoFbt27B2dlZZ/em7zSR+5b0798fAJCbmwt7e/v2uRkDo86/OcOHD8f58+dRWloKkUgEsViMwMBA+Pj4AADH/V+kidy3hOP+T3Fxcdi3bx9SUlJUcubi4gKgqSbx9PRUtpeUlCjHrDrj2tnZGSUlJSo/8873mhr7/NioAXZ2dnB0dEROTg7OnTvX7NfaQNOvvIcNGwZ/f3+V9r59+8LExATHjh1Ttl2/fl25yJra9jC5b8mlS5cgl8uVf4mpda3lvrq6GgCafcIXiUTKJ44HDhyIqqoqZGZmKq9nZmZCKpVy3KvhYXLfkjuztxz396fOvzkODg4Qi8U4ceIESkpKEBERAYDj/mE9TO5bwnHfZPHixfjyyy+RnJyMwMBAlWve3t5wcXFRqVFqa2uRnp6uHLPqjOuBAwciPT0dtbW1yj7Hjh2Dm5sbvL29NXIfnKFtQ1VVFXJzcwE0PVVZUFCACxcuoEuXLvD09MRXX30Fe3t7eHl54dKlS1iyZAkiIyNVFk8DwLVr13DkyBFs2bKl2c+ws7PDtGnT8Oabb8LJyQldunTBa6+9hp49eyqfzOyM2iP3eXl5+OKLLzBy5EjY29vj8uXLWLZsGXr37q18UrMzetjcBwYGws/PD/Pnz8c777wDe3t7fP311zh27Bh2794NAOjWrRuefPJJzJs3D+vXrwcAzJs3D6NGjerUT3q3R+4zMzNx9uxZhIaGwtbWFufOncPSpUsRERGhMgPT2Wji35xdu3YhMDAQTk5OyMzMxJIlSzB79mzlmOa4b1l75J7jvmULFizA3r17sWvXLojFYuWaWSsrK1hbW0MQBMyaNQvr1q1DQEAA/P39ER8fDysrK0ycOBGAeuN64sSJWLVqFWbPno0FCxbgt99+w/r167Fo0SKN7HAAcNuuNqWlpWHcuHHN2qdMmYLNmzdjy5Yt2LhxI4qLi+Hi4oLo6GgsWrQIpqamKv3fe+89bN26Fb/++qvKk5p3yGQyLFu2DElJSaitrUVYWBjWrl0LDw8Prd2bvmuP3BcUFCAmJga//PILpFIp3N3dMXLkSCxZsgRdunTR6v3pM03kPicnB8uXL0dGRgakUil8fX0xZ84cPPfcc8o+EokEixYtwsGDBwEAERERWL16dYfd11od7ZH78+fPY8GCBcjOzkZdXR08PT3xzDPPYO7cubC0tGy3e9U3msj98uXLsXv3bty+fRteXl6YOXMm5syZo/IfNsd9c+2Re477lrU27hYvXoy4uDgATcsHVq5cie3bt0MikaB///6Ij49Hjx49lP3VGdeXLl3CggUL8NNPP0EsFmPmzJlYvHgxC1oiIiIiIoBraImIiIjIwLGgJSIiIiKDxoKWiIiIiAwaC1oiIiIiMmgsaImIiIjIoLGgJSIiIiKDxoKWiIiIiAwaC1oiIiIiMmgsaImIiIjIoP0/bauqrW6jHDwAAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.plot(cigar.query(\"california\")[\"year\"], cigar.query(\"california\")[\"cigsale\"], label=\"California\")\n",
"plt.plot(cigar.query(\"california\")[\"year\"], calif_synth_lr, label=\"Synthetic Control\")\n",
"plt.vlines(x=1988, ymin=40, ymax=140, linestyle=\":\", lw=2, label=\"Proposition 99\")\n",
"plt.ylabel(\"Gap in per-capita cigarette sales (in packs)\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK… Something seems off. What grabs your attention in this picture? First, after the intervention, the synthetic control has more cigarette sales than California. This is an indicative that the intervention was successful in lowering cigarette demand. Second, notice how the pre-intervention period is fitted perfectly. The synthetic control is able to match the state of California exactly. This is a sign that our synthetic control model is probably overfitting the data. Another sign is the huge variance on the outcome variable of the synthetic control after the intervention. Notice how it doesnt follow smooth patterns. Instead, it goes up and down and up and down. \n",
"\n",
"![img](./data/img/synth-control/out-of-sample.png)\n",
"\n",
"If we think about why this is happening, remember that we have 38 states in our donor pool. So our linear regression has 38 parameters to play with in order to make the pretreatment pool match the treatment as close as it can. This is the case where, even if T is large, N is also large, which gives too much flexibility to our linear regression model. If you are familiar with regularized models, know that you could use Ridge or Lasso regression to fix this. Here, we will look at another more traditional way to avoid overfitting.\n",
"\n",
"## Don't Extrapolate\n",
"\n",
"Suppose you have data like in this table below and are asked to build a synthetic control to reproduce the treated unit using any linear combination of the control units.\n",
"\n",
"|unit|sales|price|\n",
"|--|--|--|\n",
"|control 1|8|8|\n",
"|control 2|8|4|\n",
"|control 3|4|5|\n",
"|treated |2|10|\n",
"\n",
"Since there are 3 units and only 2 attributes to match, there are multiple exact solutions to this problem, but a nice one is multiplying the first control by 2.25, multiplying the second by -2 and adding both. Notice how the second multiplication creates a fake unit with sales of -16 and price of -8. This multiplication is extrapolating the control 2 unit to a region of the data that doesn't make a lot of sense, since negative price and sales are almost impossible. The first multiplication is also an extrapolation, since it takes the first unit to a region where sales and price are 18. These numbers are much higher than anything we have in our data, hence the extrapolation.\n",
"\n",
"This is what regression is doing when we ask it to create a synthetic control. Extrapolation is not technically wrong, but it's dangerous in practice. We are making assumptions that the data we have never seen behaves like the data that we have. \n",
"\n",
"One way to play safer is to constrain our synthetic control to only do interpolation. To do so, we will restrict the weights to be positive and sum up to one. Now, the synthetic control will be a convex combination of the units in the donor pool. When doing interpolation, we will project the treated unit in the convex hull defined by the untreated unit, much like in the picture below.\n",
"\n",
"![img](data/img/synth-control/extrapolation.png)\n",
"\n",
"Notice two things here. First, interpolation won't be able to create a perfect match of the treated unit in this case. This is because the treated is the unit with the smallest number of sales and the highest price. Convex combinations can only replicate exactly features that are in between the control units. Another thing to notice is that interpolation is sparse. We will project the treated unit on a wall of the convex hull and this wall is defined only by a few units. For this reason, interpolation will assign weight zero to many of the units. \n",
"\n",
"This is the general idea, now let's formalize it a little bit. The synthetic control is still defined as \n",
"\n",
"$\n",
"\\hat{Y}^N_{jt} = \\sum^{J+1}_{j=2} w_j Y_{jt}\n",
"$\n",
"\n",
"but now, we will use weights $\\pmb{W}=(w_2, ..., w_{J+1})$ that minimises\n",
"\n",
"$\n",
"||\\pmb{X}_1 - \\pmb{X}_0 \\pmb{W}|| = \\bigg(\\sum^k_{h=1}v_h \\bigg(X_{h1} - \\sum^{J+1}_{j=2} w_j X_{hj} \\bigg)^2 \\bigg)^{\\frac{1}{2}}\n",
"$\n",
"\n",
"subject to the restriction that $w_2, ..., w_{J+1}$ are positive and sum to one. Notice that $v_h$ reflect the importance of each variable when minimising the difference between the treated and the synthetic control. Different $v$s would give different optimal weights. One way to choose $V$ is to make it so that each variable has mean zero and unit variance. A more complex way is to choose $V$ in such a way that variables that help to predict $Y$ better get higher importance. Since we want to keep the code simple, we will simply give the same importance for each variable.\n",
"\n",
"To implement this, first, define the above loss function."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"from typing import List\n",
"from operator import add\n",
"from toolz import reduce, partial\n",
"\n",
"def loss_w(W, X, y) -> float:\n",
" return np.sqrt(np.mean((y - X.dot(W))**2))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since we are using the same importance for every feature, we don't need to worry about $v$.\n",
"\n",
"Now, to get the optimal weights, we will use the quadratic programming optimisation of scipy. We will constrain the weights to sum up to 1 with \n",
"\n",
"```python \n",
"lambda x: np.sum(x) - 1\n",
"```\n",
"\n",
"Also, we will set optimization bounds to be between 0 and 1."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"from scipy.optimize import fmin_slsqp\n",
"\n",
"def get_w(X, y):\n",
" \n",
" w_start = [1/X.shape[1]]*X.shape[1]\n",
"\n",
" weights = fmin_slsqp(partial(loss_w, X=X, y=y),\n",
" np.array(w_start),\n",
" f_eqcons=lambda x: np.sum(x) - 1,\n",
" bounds=[(0.0, 1.0)]*len(w_start),\n",
" disp=False)\n",
" return weights"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With this implemented, let's get the weights that define the synthetic control"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sum: 1.000000000000424\n"
]
},
{
"data": {
"text/plain": [
"array([0. , 0. , 0. , 0.0852, 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0.113 , 0.1051, 0.4566, 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0.2401, 0. , 0. , 0. , 0. , 0. ])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calif_weights = get_w(X, y)\n",
"print(\"Sum:\", calif_weights.sum())\n",
"np.round(calif_weights, 4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With this weight, we are multiplying states 1,2, and 3 by zero, state 4 by 0.0852 and\n",
"so on. Notice how the weights are sparse, exactly as we've predicted. Also, all weights sum to one and are between 0 and 1, satisfying our convex combination constraint.\n",
"\n",
"Now, to get the synthetic control, we can multiply those weights by the states exactly as we did before with the regression weights."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"calif_synth = cigar.query(\"~california\").pivot(index='year', columns=\"state\")[\"cigsale\"].values.dot(calif_weights)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we plot the outcome of the synthetic control now, we get a much smoother trend. Also notice that, in the pre intervention period, the synthetic control doesn't reproduce the treated exactly anymore. This is a good sign, as it indicates that we are not overfitting."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.plot(cigar.query(\"california\")[\"year\"], cigar.query(\"california\")[\"cigsale\"], label=\"California\")\n",
"plt.plot(cigar.query(\"california\")[\"year\"], calif_synth, label=\"Synthetic Control\")\n",
"plt.vlines(x=1988, ymin=40, ymax=140, linestyle=\":\", lw=2, label=\"Proposition 99\")\n",
"plt.ylabel(\"Per-capita cigarette sales (in packs)\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With the synthetic control at hand, we can estimate the treatment effect as the gap between treated and the synthetic control outcomes.\n",
"\n",
"$\n",
"\\tau_{1t} = Y^I_{jt} - Y^N_{jt}\n",
"$\n",
"\n",
"In our particular case, the effect gets bigger and bigger as time passes."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArcAAAGSCAYAAAD5FOlvAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAChpUlEQVR4nOzdd3hT5RfA8W/SvdPdMkqZBcree8sGQQQEBRQRGQ5koyigstwoS2UqKAiykb1EoOyyKWW0rBa6905+f/RHIHSQQkPScj7P00dz703u6SVtT9573vMqYmNjNQghhBBCCFEMKI0dgBBCCCGEEIVFklshhBBCCFFsSHIrhBBCCCGKDUluhRBCCCFEsSHJrRBCCCGEKDYkuRVCCCGEEMWGJLdCCPEchIaGolKp6NKli1HjqF69OtWrVzdqDOLJDh48iEqlYubMmcYORYgiR5JbIUyMWq3mt99+o2vXrpQtWxY3NzfKly9P48aNGT58OH///bfO8StXrizUP4KmkoQ9ybVr1xg1ahR16tTBy8uLEiVKUL16dbp378706dO5devWc43HVK5b9erVUalURo0BYOvWrahUKlQqFevWrTN2OEb14N9E3y9JaIV4NubGDkAI8ZBaraZfv37s2LEDR0dHOnbsSIkSJcjIyCAoKIhNmzZx4sQJevXqZexQjergwYP06dOHlJQU6tevT9u2bXF0dCQ8PJwTJ07w9ddfU7lyZUqXLm3sUE3Opk2bnst5li1bpvP/r7zyynM5rykaPnw4cXFxOtu2bt3K+fPn6dy5c46R9GbNmlG3bl2OHTuGq6vr8wxViGJBklshTMjff//Njh07qFatGlu3bsXJyUlnf1paGkeOHDFSdKZj1KhRpKSkMH/+fPr3759jf3BwMGZmZkaIzPSVLVvW4Oe4efMme/bsoXHjxkD2h5Hr169Trlw5g5/bFI0YMSLHtps3b3L+/Hm6dOnC66+/nuvzKlWqZOjQhCiWpCxBCBNy9OhRAPr3758jsQWwsrKiVatW2sfDhw9n5MiRAMyePVvn1ubBgwcBiIuL48cff6Rbt25UrVoVd3d3ypcvT9++fbXne2DlypXUrFkTgEOHDuV7qzQwMJDBgwdTuXJl3N3d8fPzY+jQoVy/fr3QrkduIiMjuXbtGo6OjrkmtgAVK1bUSaReeuklnJ2dCQkJyfX4JUuWoFKp+PLLL7XbHtxKzszM5Ntvv6VOnTp4eHjg7+/PlClTSE9P1x5bkOsGEBUVxYcffoifnx8eHh40atSIFStW5Pk9//vvv7z22muUL18ed3d3qlWrxpgxY7h37572mAdlEQ/KMR6N4dFSifxqbtevX0+PHj0oW7YsHh4eVKtWjUGDBhX4A9Vvv/2GWq2mf//+9O/fH41Gw/Lly/M8PiUlhR9//JHWrVtTqlQpSpQoQb169RgzZoxOecnw4cO17+1Vq1bRunVrSpQoQbNmzbTHhISEMGLECO17vWLFirz55pucP38+x3nT09P5+eefadmyJWXLlsXLy4tq1arx6quv5hjhPn/+PEOGDKFGjRp4enpSrlw5mjRpwpgxY3KMyhaGvGpuu3TpgkqlIiQkhF9++YWGDRvi6elJ9erV+fbbb9FoNABs2LCBtm3bUqJECSpUqMC4ceNISUnJ9VzXr1/n/fffp1q1anh4eFC+fHlef/11AgMDC/37EuJ5kJFbIUzIg1rJa9eu6XV8ly5diIuL459//qFp06Y6f+R9fHwAuHLlCl988QVNmjShffv2qFQqbt++zbZt29i9ezd//vkn7du3B7ITn2HDhrFw4UJKly6tkzw++tp//fUXI0aMwNLSkk6dOlGyZEmuX7/O33//zfbt29myZQs1atR41suRKwcHB8zNzUlKSiI8PBwvL68nPmfw4MEcP36c3377jc8++yzH/qVLl6JUKhk0aFCOfUOGDOHIkSO0a9cOBwcHdu3axZw5c4iIiGD+/PmA/tcNsj9sdOjQAUtLS7p37056ejobNmzgvffeQ6lU5kjYf/jhB6ZOnYqzszPt27fH09OTCxcusHjxYrZt28auXbsoWbIkTk5OTJgwgQULFhAfH8+ECRO0r/HgvZAXjUbDiBEj+PPPP3FxcaFz5854eHhw9+5dDh8+zMaNG7WjsE+SmZnJypUrsbW1pUePHigUCiZOnMgff/zB5MmTsbCw0Dk+NjaWbt26ce7cOSpUqED//v2xtrYmJCSENWvW0Lp16xzlJXPnzuXAgQN06tSJli1baj9oBAYG8vLLLxMfH0/79u3x9/fnxo0bbN68me3bt/PHH3/Qpk0b7euMGDGCtWvXUrlyZXr37o2dnR1hYWGcOnWKLVu20L17dyA7sW3Xrh0KhYIOHTpQtmxZEhMTuXnzJn/88QcjR47M9cOoIX366accOXKEDh060KJFCzZt2sQXX3xBZmYmDg4OzJgxg86dO9OgQQN27NjBr7/+SlZWFt99953O6xw4cIDXX3+d1NRUOnToQPny5QkLC2Pz5s3s3r2bP/74g7Zt2z7X702IZ6WIjY3VGDsIIUS2M2fO0K5dOzIzM+nduzddunShZs2alClTBoVCketzVq5cyciRI5kwYQKTJk3KsT8uLo7MzMwctXt37tyhbdu2ODg4cPz4ce320NBQatasSdOmTdm6dWuO17t+/TqNGzfG29ubf/75hxIlSmj3HTx4kB49elCtWjUOHDjwtJfhiQYOHMimTZsoU6YMgwcPpnHjxvj7+2NnZ5fr8ampqVStWhVzc3MuXLigk2CdOHGCdu3a0aFDB1avXq3dXr16dW7dukXNmjXZsGEDzs7OACQlJdGsWTNCQ0O5dOkSnp6ewJOv24P9AAMGDOCHH37Qlk5cvnyZpk2bUqFCBZ3R9EOHDtG1a1fq1avHmjVrdCaKrVq1imHDhtGtWzd+//33HHHHxsbmei0ejNqeO3dOu23ZsmWMGjWKWrVqsWHDBp3zqNVqwsPDdf6d87NlyxbeeOMNXnvtNRYuXAhkj7j++eefLFu2jB49eugcP2TIENauXcvAgQP54YcfUCof3lBMTk4mLS1Ne+0fvI6trS3bt2/X+QCl0Who3Lgxly9fzlGusn//fnr27Imrqytnz57F1taWuLg4fH19qVmzJrt378bcXHesJyoqSvsz88knnzBv3jxWrFhB165ddY5LSEjA0tISKysrva7PAw++l3nz5uValnDw4EG6deuW4+e6S5cuHDp0iLJly7Jjxw48PDyA7PdXvXr1sLS01F6f8uXLA9m/A+rUqUNCQgIXLlzA3d1du7127dpoNBq2bdtG5cqVtecJCgqibdu22Nvbc+bMmQJ/f0IYk5QlCGFCatasyS+//IKHhwd//fUXgwYNolatWpQpU4Y+ffrw999/o1arC/SaTk5OuU5KKVmyJN27dyc4OLhAnQUWL15MWloaM2bMyJHwNG/enE6dOnHmzBkuX75coDgL4kGZxc2bN5kyZQrt27enVKlSNGrUiMmTJ3Pz5k2d462trXnjjTe4f/9+jsRz6dKlALz11lu5nmvatGna5ArAzs6O3r17o1arOX36dIFjt7W1Zfr06To1wZUrV6Zhw4YEBQWRmJio3b5w4UI0Gg3ff/99jg4Ir732GjVq1OCff/4hISGhwHE86pdffgHgu+++y3EepVKpd2ILDyeSPZpcPkjeHp1kBhAREcG6devw8PBgxowZOoktZF+rR6/9A4MGDcpxZ+Do0aNcvnyZOnXq5Bj9btWqFV27diUyMpJ//vkHAIVCgUajwdLSMtf67Nx+ZmxsbHJsc3BwMEriN3bsWG1iC1CmTBkaN25MUlISgwcP1ia2kP07oGPHjqSnpxMUFKTdvmrVKqKjo5kwYYJOYgvg5+fHwIEDCQ8PN+gHVSEMQcoShDAxPXv2pGvXrhw8eJAjR45w9uxZAgIC2LlzJzt37uSPP/7gzz//xNLSUu/XDAgIYOHChRw/fpyIiAidelGAsLAwvTsLPBhZPHz4MGfOnMmxPyIiAsge+Xn8D+ajYmNjWbBgQY7tD+oq86NSqfj9998JDQ1l7969nD59mlOnTnHhwgUuX77MkiVLWL58OS+99JL2OYMHD2bu3LksXbpUO3oYFxfH+vXrKVWqlLY043G1atXKsa1UqVLa76GgypUrh6OjY76vaW9vD2Rfa3NzczZv3szmzZtzPCc9PZ2srCyuXbuWa5z6SEpK4uLFi7i4uFCnTp2neo0Hbt68yd69e/Hx8aF58+ba7U2bNsXX15cDBw4QEhKCr68vAKdOnUKtVtOoUSPt96yPunXr5tj24L3YokWLXJ/TqlUrNm/ezJkzZ3j11Ve13Ui2b99O06ZN6dq1K40bN6Z+/fo5YnnllVdYuHAhr7/+Ot27d6dFixY0aNDAqBO+civ7eVCik9s+b29vAO7evavd9uBn+cKFC7nWhl+9ehXI/lnO6+dDCFMkya0QJsjCwoI2bdpo6wOzsrLYtGkT7733Hnv27GHx4sUMHz5cr9favHkzgwYNwtramlatWlG2bFlsbW1RKpX8999/HDp0iLS0NL1ji46OBrLrHvOTlJSU7/64uDhmz56dY3v//v317tNapkwZ3nrrLe2o6507dxgzZgzbt29nxIgRXLx4UVuC4OvrS9u2bdm9ezfXrl2jfPnyrFq1iuTkZD766KMco4YP5BbLg5G+rKwsveJ8VF61mbm9ZnR0NJmZmblep0c9OtpbUA8mQz1Ifp7Fg4lk/fr10ymjUSgU9O/fnxkzZrB8+XKmTJnyTOd+dMTygfj4+Dz3AdrykUcnfy1dupQff/yRtWvX8tVXXwHZP3sdO3bkyy+/pEyZMkB2Mr19+3a+/fZbtmzZwl9//QVk1zKPGjWKwYMHFyj+wpDbB6QH76H89mVkZGi3PfhZfrSsJTdP+lkWwtRIcitEEWBmZkbPnj25cOEC33zzDQcOHNA7uZ0xYwaWlpbs27cPPz8/nX2jRo3i0KFDBYrlwR/OGzdu5HrLWF9lypR5qpHP/JQsWZIlS5bg6+tLREQEFy5c0BnRfPvtt9m1axfLli3jiy++YNmyZZibmzNgwIBCjaOwODo6kpGRYdAFKR4k22FhYc/0OpmZmdqOD7Nnz84zIf/jjz/4+OOPsbCweOpz51Z//uB9ef/+/Vyf86CzxKOJn42NDRMmTGDChAmEhYVx5MgR1qxZw+bNm7l8+TKHDx/WfjiqX78+q1atIj09nbNnz7Jv3z5+/fVXRo8ejY2NDf369SvQ92AKHlyL/fv3P/XIvxCmSGpuhShCHBwcALTtfuDJo4jXr1/Hz88vR2KrVqsJCAjIcfyD18urtrd+/fpAdlmCKbKyssqzZKN9+/b4+Pjwxx9/cODAAS5dukTnzp316rjwJE+6bk+jfv36JCQk6Ez+0jcOfUeV7ezsqFq1KtHR0Zw6deqp4gTYtm0b4eHhlC1blgEDBuT6ValSJe7du6ete61bty5KpZKAgIBnGn0GtJP1HrTAe9yDutG8kjhvb29eeeUV/vzzTxo0aEBwcHCudeOWlpbUq1ePcePGaSfMbdmy5ZliN5YHP8vSO1sUN5LcCmFC1q5dy759+3JNkO7du6ftFdq0aVPtdhcXFwBu376d62v6+Phw/fp1ndExjUbDzJkzc/3jrVKpUCgUeb7e0KFDsbS0ZPLkyVy5ciXH/szMTP799998vstnk5SUxFdffZXnCN38+fNJTExEpVJRpUoVnX1KpZK33nqLqKgo7ch3Yd1SftJ1exoPehiPGjWKO3fu5NifmpqaIzF58H4oyGjvu+++C8Do0aNzjKZrNBq9RlYfTBabMGECP/30U65fn3zyCYD2fezm5kavXr24f/8+n3zySY73fUpKCjExMXp9Dw0bNsTPz4+TJ0/qdL2A7MR28+bNuLq60rlzZyC7X3JuvW/T0tK0pQu2trZAdm1qbj1iH4wGPziuqHnjjTdQqVR8/fXXHDt2LMd+jUbDkSNHctToC2HqpCxBCBNy4sQJFi5ciKenJ40aNdLW/IWGhrJz505SUlJo0KAB77zzjvY5DRo0wM7OjnXr1mFhYUHp0qVRKBT07dsXHx8fRowYwUcffUSLFi3o3r075ubmHD16lKCgIO2EmkfZ29vToEEDjh49St++falZsyYWFhY0adKEpk2bUrFiRebPn8/IkSNp3Lgx7dq1o3z58mRlZXHnzh2OHj1KWlpajo4FhSUjI4MZM2Ywe/Zs6tatq11sISYmhoCAAC5evIi5uTlz5szJdRb7gAEDmDVrFnfv3qV8+fK0bNmyUOJ60nV7Gi1atOCLL75gypQp1K1bl5deeglfX19SU1O5desWhw8fxsfHh//++0/7nNatW3Pq1CkGDBhA+/btsba2pnTp0rz22mt5nmfgwIEcOXKEVatWUadOHbp06YK7uzvh4eEcOnSITp06MWvWrDyfHxoayr59+1CpVDlafT2qc+fOuLu7s2/fPkJDQylTpgxff/01ly5dYvny5Rw6dIi2bdtibW2tnZw2b968HO23cqNQKFiwYAE9evRg2LBhrF+/XtvndtOmTVhaWrJw4UJtInr37l1atGhB1apV8ff3p2TJkiQlJbF3716uXbtG9+7dtR0H5syZw7///kvjxo0pU6YMDg4OXL16lR07dmBjY6N3iZCpcXZ25rfffuONN96gffv2tGjRgsqVK2NhYcGdO3c4ceIEt2/fJiQkpEATWIUwNkluhTAh77//PhUrVmTfvn1cvHiRffv2kZycjLOzMw0aNKBHjx688cYbOn1aVSoVK1asYPbs2axfv157e7dRo0b4+Pjw1ltvYWlpyYIFC/jzzz+xtramcePGzJs3j02bNuVIbgF+/vlnPvnkE44cOcKuXbtQq9VMmDBBm6S9+uqrVKtWjXnz5nHgwAH27duHtbU1Xl5evPTSS9rm94bg6OjI33//zb59+wgICGDbtm1ERERoE/u33nqLoUOH5hi1fcDNzY2OHTuyceNG3nzzzTz7Bz+NJ123p/H+++/TqFEjFi5cyJEjR9i+fTv29vZ4e3vTp08fevbsqXP8mDFjiI+PZ9u2bcyZM4fMzEyaNm2ab3KrUChYuHAhbdu2ZdmyZWzcuJG0tDTc3d2pV69ejnM87sFEsj59+mBtbZ3ncRYWFvTr148ff/yR3377jU8//RSVSsXOnTtZuHAh69at47ffftO2H+vdu3eBakHr1KnD/v37+frrr9m/fz979uzBycmJLl26MGbMGJ0uAj4+Pnz88cccPHiQQ4cOERkZiZOTE+XKlePDDz/UaSc2ZMgQnJ2dOXnyJEePHiUjIwNvb29ee+013nvvvSK9TG6LFi04dOgQc+fOZc+ePRw7dgxzc3M8PT1p0KABU6dOzXWCmhCmTBZxEEK8UDQaDQ0aNODmzZtcunRJextfCCFE8SA1t0KIF8rWrVsJDg6mV69ektgKIUQx9FQjt4mJiSgUijyXuhRCCFPz/fffExMTw2+//UZqaiqHDx+mXLlyxg5LCCFEIdMruT1w4ABbtmzh6NGjXLlyRTtz0tLSkkqVKtGwYUO6du1aaBMzhBCisKlUKszNzalUqRJTp06VFZeEEKKYyjO5zcjIYOnSpcydO5dbt27h7OxMzZo18fX1RaVSodFoiI2NJTQ0lDNnzhATE0OpUqV47733GDx4sM6EFyGEEEIIIZ6HPJPbatWqkZ6eTr9+/ejZs+cTZ6wGBgayfv16Vq1ahaWlZYGajgshhBBCCFEY8kxuFy1axBtvvJFvW5fcpKWl8fvvvzNkyJBCCVAIIYQQQgh95dktYciQIQVObCF76UtJbHMXHBxs7BBeWHLtjUOuu/HItTceufbGI9feeEzp2j9zK7Dw8HCCgoIKIxYhhBBCCCGeid7J7bJlyxgxYoTOtnHjxlG1alUaN25MixYtiIqKKvQAhRBCCCGE0Jfeye3ixYu1a3IDHDx4kEWLFvHqq6/y2Wefcf36db755huDBCmEEEIIIYQ+zPU9MDQ0lEGDBmkfr1+/npIlS7Jw4UKUSiVxcXGsX7+emTNnGiRQIYQQQgghnkTv5DYrK0und+2+ffto164dSmX24G+5cuUIDw8v/AiFEEII8dxlZmaSlJRk7DAKxNramri4OGOH8UIyxLW3s7PD3FzvVFVL72eUKVOGAwcOMGjQIE6fPk1ISAjTpk3T7r9//z4ODg4FDkAIIYQQpiUzM5OEhARUKhUKhcLY4ejNysrqqTo9iWdX2Nf+wWJhDg4OBU5w9T568ODBjBs3jsuXL3P37l1Kliyps3xlQEAAlStXLtDJhRBCCGF6kpKSilxiK4oXhUKBSqUiPj4eJyenAj1X7+R2yJAhWFpasnPnTmrVqsWoUaO0GXpMTAwREREMHjy4YJELIYQQwiRJYiuM7WnfgwUa5x04cCADBw7Msd3Z2Zn9+/eTlZX1VEEIIYQQQghRGPRuBfbdd9/luz8tLY3XX3/9mQMSQgghhBDiaemd3H7xxRf8/PPPue5LTk6mT58+HDhwoNACE0IIIYQQoqD0Tm6//PJLJk2axPLly3W2x8fH06NHD06cOMGqVasKPUAhhBBCiOfp4MGDqFQq7cqrjz8G2Lp1K3Xq1MHV1ZXhw4cbNJ6VK1dSsmRJg57jgZkzZ1KxYkVUKhUrV67Mc5sp07vmduTIkaSkpDB69GhsbGzo06cPUVFR9OzZk9DQUNatW0fDhg0NGasQQgghRL7u37/Pt99+y44dO7h79y6urq74+/szdOhQnS5PBdGwYUOCgoJwcXHRbnv//fcZOHAgQ4cOxc7OrrDCz9Urr7zy1LE/cPDgQbp165brvmPHjlGpUiUuXrzI7Nmz+f3332nQoAGOjo65bntWK1euZPz48dy5c+eZXys3BZpQNnbsWFJSUhg5ciTx8fEsWrSIyMhINm3aRM2aNQ0SoBBCCCGEPm7evMnLL7+Mvb09U6ZMoVq1aqjVag4cOMDo0aM5f/78U72upaUlnp6e2sexsbFER0fTpk0bSpQo8dTxpqenY2lp+cTjbGxssLGxeerzPCogIABnZ2edbW5ubgBcv34dgK5du2o7FeS2zdQVeNmHTz/9lOTkZMaPH4+Xlxf//PMPlSpVMkRsQgghhDAhqqWGGWnLS+xbBbsVP3HiRCB7FVV7e3vtdj8/P/r06aN9PHfuXP744w9CQkJwcnKiXbt2fPHFF6hUqlxf98Go57Vr17h48aJ2BLR79+4AbN68mebNm7Np0yZmzZrF1atXcXd356233mLMmDHapLB69er079+f27dvs3nzZlq3bk379u0ZP348f/zxBxMnTiQ0NJQ6deowd+5cfH19gZwjnTdu3ODjjz/m5MmTJCYmUqFCBT7++GM6duz4xGvk7u6Oq6trju0zZ85k9uzZANrkd8KECTm2xcbGArBixQp++uknQkJCKFWqFAMHDuT999/XrlwbFxfHtGnT2Lp1K7GxsZQpU4aJEyfi7u7OyJEjAbTXe8KECUyaNOmJsesrz+R2zJgx+T7Rzs6OqlWr6kwyUygUfPPNN4UWXHGj1sCdpCxK2pkZOxQhhBCiWImJiWHfvn1MnjxZJ7F94NHEValUMnPmTHx9fbl16xbjx49n/Pjx/PLLL088T8OGDQkICKBRo0b89ttvNGzYEGdnZwIDA3nzzTcZO3Ysffr04dSpU3z00Uc4ODjw7rvvap8/f/58xo4dy/79+9FoNAQEBJCWlsZ3333H3LlzsbKyYvjw4YwePZp169blGkNiYiIvvfQSkydPxsbGhnXr1jFgwAAOHTr01AOO77//PiVLluSDDz4gKCgIyM71Ht8GsHz5cmbMmMFXX31FzZo1uXTpEh988AE2NjYMHToUjUZDnz59iI2NZd68eVSoUIHg4GBSU1Np2LAhM2fO5IsvvuD06dPa8xSmPJPbJUuWPPHJe/bs0XksyW3uUjI1rL6WzA+nrTE/F8mxVzxQFpGhfSGEMEV9d2dP7FndLucIlHgxXb9+HY1Go1dyN2LECO3/lylThs8//5z+/fuzcOFC7chjXiwtLXF3dweyRzMflCvMmzePpk2b8vHHHwNQoUIFrl27xpw5c3SS2yZNmvDhhx9qHwcEBJCZmck333xDxYoVgexE87333kOj0eRaClC9enWqV6+ufTx27Fi2b9/Oxo0bGTduXL7x16hRQ+exk5MTFy9exN7eXrsS2KMlGLlt+/rrr5k2bRovv/wyAL6+vrz//vssXryYoUOHsn//fo4dO0ZAQAB+fn7aYx5wdHREoVDovGZhyjO5jYmJMcgJXzSpmRrq/B1OWLIaUEJKJjtupdLJp3BqZ4QQ4kW041aqsUMQJkaj0eh97IEDB/j++++5cuUK8fHxZGVlkZ6ezr179/D29n6q8wcFBeWY9NW4cWNmz55NfHy8diJW7dq1czzXyspKm9gCeHl5kZ6eTmxsbI76WMheHnn27Nns2LGD8PBwMjMzSU1Nxd/f/4lxbt68OccodkFERkZy+/ZtPvroI527/JmZmdp/g7Nnz+Ll5aVNbJ+3AtfcioKxNlfQ3NuKv66laLfNvZAoya0QQjyDP9u6PPkgUegKWgP7PJUvXx6FQsGVK1fyPe7mzZv07duXgQMH8vHHH+Pi4sKZM2d4++23SU9PN0hsj46+5nYL3txcNx17cLxarc719T799FN2797NF198Qfny5bG1tWXYsGF6xV+mTJlca2719SCm7777TqdLVlpaGlZWVk/9uoVJ73Q9ICAg31XKvv/+e44dO1YoQRU3I/11a38OhacTGGmYHyAhhHgRdPKxkUECocPZ2ZlWrVrx66+/kpiYmGP/g4lQp0+fJj09nZkzZ9KgQQMqVKhAWFjYM5/fz8+Po0eP6mw7cuQIJUuWxMHB4Zlf/1EBAQG89tprvPzyy1SrVo0SJUpw48aNQj1HXjw8PPD29ubGjRuUK1dO+1W2bFnKlSsHZJc+hIeH69TpPsrS0pKsrCyDxah3cjt79mzOnTuX5/7z589rZ9QJXTVdLWnupdvqY+6FnD94QgghhHh6s2bNQqPR0Lp1azZs2EBwcDBXrlxh8eLFNGvWDMge4VWr1cyfP5+QkBDWrl3LwoULn/ncI0eO5NChQ8ycOZOrV6/y119/MW/ePD744INnfu3HlS9fni1bthAYGMiFCxcYOnQoaWlpej03IiKCe/fu6XwVdMR60qRJ/Pjjj8ybN4/g4GAuXrzIX3/9pR0EbdmyJfXq1WPgwIHs2bOHkJAQ9u3bx5YtWwDw8fEhNTWVffv2ERUVRXJycsEuwBPondyePXuWBg0a5Lm/fv36nDlzplCCKo7eq6b7qW39jRRuJWYaKRohhCjalgUlsSwoydhhCBNTpkwZDhw4QKtWrZgyZQpNmzale/fubNu2jR9++AGAatWqMWvWLObPn6/tePDFF18887lr1arFsmXL2Lx5M40bN2batGmMGjWKoUOHPvNrP2769Om4u7vTuXNnevfuTf369WncuLFez23UqBF+fn46X4cPHy7Q+QcOHMjcuXNZvXo1zZo1o1OnTqxYsYIyZcoA2XW8a9asoWHDhgwdOpSGDRsyceJEMjIygOyOE4MHD+btt9+mfPnyzJkzp2AX4AkUsbGxelVge3t7M2XKFIYNG5br/oULFzJ16lTCw8MLNcDiQq3RUGf1bUJSHn6eeM/fni8bOBkxqhdHcHCwTrG+eD7kuhtPcb/2D/qtmmINaHG49nFxcdpZ8kVJamoq1tbWxg7jhWSoa/8070W9R24rVKjA3r1789y/e/duba2FyEmpUNC/ZIbOtt+uJBGfnnuxuBBCiLwNqmTLoEq2xg5DCGGC9E5uBw4cyK5duxg/frxOm7Do6GjGjRvH3r17GTBggEGCLC46e2ThZv3wksdnaPjtitxWE0KIgprT1Jk5TXO2SBJCCL1bgb3zzjucO3eOX3/9lUWLFuHh4QHA/fv30Wg09O/fn+HDhxss0OLASglDKtsxKzBBu23hxSSGVbXHXCmLOgghhBBCPKsC9bn98ccf6d27N5s2bSIkJATIXnHi5Zdf1s5CFPkbUsWOH84lkPr/Dhi3k7LYFJLCK+Xk9poQQugrLDn7l6i3rSxnLoTQVeBFHJo3b07z5s0NEcszmzlzZo52ZB4eHk9s6Pw8uVmb8Vp5W5Zdedj2Yu6FRHqWtcl1iT0hhBA5VVmdPXnZFCeUCSGMq9itUFaxYkVtHzUAMzPT+1Q/wt9eJ7k9FZnBkXvpNPEyjZU9hBDC1HnZFGzJUCHEi6NAye3Fixf5+eefCQwMJD4+PseycAqFgsDAwMKMr8DMzc3x9PQ0agxPUkllQYfS1jpro8+9kCjJrRBC6Onya97GDkEIYaL0Tm6PHDlCz549cXR0pHbt2pw9e5YWLVqQlpbGsWPHqFy5MrVq1TJgqPoJCQmhcuXKWFpaUq9ePT777DN8fX3zPD44OPj5BffI+Xo6Kdlx62E/uG03U9hz9io+Nnq1HRZP4Xn/W4tsct2NR6698RT1a29tbY2VVdEccElNTX3yQcIgDHHt4+PjuX//fo7t+fWS1nsRh65du3Lv3j12795NZmYmFSpUYMOGDbRs2ZKjR4/Sp08fli5dSps2bZ7+O3hGu3btIjExkYoVKxIZGcnXX39NcHAwAQEBuLi4GC2uBx5t7K3RaGi1OYIzUQ97375d2Y5vG6uMFF3xVhyaqhdFct2NR6698RSHay+LOIiCKpKLOAQGBjJgwACcnJxQKrOf9qAsoWHDhgwaNIjp06cX6OSF7aWXXqJnz55Uq1aNVq1asXr1atRqNX/88YdR48qNQqHgPX97nW1/BCcT/aCNghBCiDy13HSflptyjuYIUVQNHz6cvn375ntMaGgoKpWK06dPP6eoiia9k1uFQqHNnG1ts9tWRUdHa/dXqFCBS5cuFXJ4z8be3p7KlStz/fp1Y4eSqx5lbSj5SBublCwNiy/Log5CCPEkZ6IydO58CQHwwQcfoFKpUKlUuLm5UbNmTSZPnkxSkun/bZ01axY///yz9nGXLl0YN26czjGlSpUiKCiI6tWrGzye9evX06xZM7y9valWrRo//vhjjmN+/fVXGjRogJeXF02bNuXPP/80eFz60Du59fHx0fa2tbKyokyZMuzbt0+7//DhwyZx6/9RqampBAcHm+wEMwulgmFV7XS2/Xo5idRMqbsVQoj87O/mzv5u7sYOQ5igVq1aERQURGBgIJMnT2bx4sV8+umnuR6bmZmJRmMaf3OdnJxQqVT5HmNmZoanpyfm5oZtdrVr1y6GDBnCm2++yZEjR/j222+ZP38+v/zyi/aYxYsXM3XqVMaPH09AQADjxo1j3LhxbNu2zaCx6UPv5LZNmzasX79e+3jQoEGsXLmS7t27061bN1avXk3v3r0NEqS+Jk+ezH///UdISAgnTpxg0KBBJCcn069fP6PGlZ+BfnY4WDzsb3s/Rc2a68n5PEMIIUQtN0tquVkaOwxhgqysrPD09KRUqVL07t2b3r17s3XrViC7H37jxo1ZuXIltWrVwsPDg6SkJG7dusXrr79OqVKlKFWqFG+88QZ37tzRvuaD5/32229Uq1YNLy8v+vfvT1RUlPYYtVrNV199hb+/Px4eHjRp0kR73gdmz55NtWrV8PDwoFKlSrz77rvafY+WJQwfPpxDhw7x66+/akeiQ0NDcy1LOHToEG3btsXT05OKFSsyadIk0tPTtfu7dOnCmDFj+PzzzylXrhwVKlRg8uTJOTpePWr16tV07NiRIUOG4OvrS4cOHfjoo4+YM2eO9sPA6tWrGThwIK+++iq+vr706NGDQYMGMWfOnKf5ZytUeie3Y8aMYdmyZWRkZN8GGjVqFJ988gkxMTEkJCQwceJEPv74Y4MFqo+7d+8yZMgQ6tevz4ABA7C0tGTXrl34+PgYNa78OFkqGVBJd3Wy+RcSTeaTpBBCCPGAaukdVEvv6GzruzsK1dI7bLuZot22LCgJ1dI7fHgoRrstLDkL1dI7VF4VpvP8lpvuo1p6h8DIhwnZzNPxOc7ztKytrbW5C2TXra5du5Zly5bx33//YWlpSf/+/YmIiGDz5s1s3ryZ8PBwXn/9dZ2/xTdv3mT16tWsXLmSDRs2cP36dUaOHKndv2DBAn766SemTp3K4cOH6dKlCwMGDODs2bMAbNy4kblz5/Ltt99y8uRJVq9eTd26dXONedasWTRo0IDXX3+doKAggoKCKFWqVI7j7t69S+/evalRowb//vsvP/30E3///TfTpk3TOW7NmjWYmZmxc+dOvv76axYsWMC6devyvGZpaWk5JofZ2Nhw584dbt68me8xJ0+e1LnexqD3uLZKpdJp9aVQKBg7dixjx441RFxPZcmSJcYO4akMq2rPzxeTyPr/z9Cl2Ez23EmjXSmZ8SmEELmZeToegEm1HY0ciTBlJ0+eZO3atbRs2VK7LT09nZ9//hkPDw8A9u3bx4ULFzh9+jRlypQBYNGiRdSuXZsDBw7QqlUrAFJSUli4cCGlS5cG4Pvvv6dTp05cu3aN8uXLM3fuXN577z3tXexPPvmEw4cPM3fuXH755Rdu3bqFp6cnbdq0wcLCgtKlS1O7du1c43ZycsLCwgJbW9t8SysXL16Ml5cX3377LUqlEj8/P6ZMmcJHH33EJ598op0j5efnxyeffAJkz5Favnw5Bw4c4NVXX831ddu2bcukSZPYu3cvrVq14vr168ydOxeAe/fuUaZMGdq2bcvvv/9Ot27dqF27NoGBgfz2229kZGQQFRWFl5eXXv9GhvBURRtxcXHcunULgNKlSxfJdiGmxMfenJd9bVh34+Gn3rkXEiW5FUKIPMwOTAAkuX3eclvueHU71xzb3vSz400/3Tkl3rZmuT7/QHePHNsm1XZ86n/b3bt3U7JkSTIzM8nIyKBz58589dVX2v0lSpTQJrYAQUFBeHt7axNbAF9fX7y9vbl8+bI2uS1RooQ2sQWoV68eSqWSoKAg3N3dCQsLo1GjRjqxNG7cmJ07dwLQo0cPFi5cSM2aNWnTpg3t2rWjU6dOz9RPOCgoSBvHo+dMT0/n+vXrVKtWDQB/f3+d53l5eREREZHn6w4aNIgbN27Qv39/MjIycHBwYNiwYcyaNUt7rnHjxnHv3j3at2+PRqPB3d2dfv36MWfOHJ14jKFAZz969CidOnWibNmytGjRghYtWlC2bFk6depEQECAoWJ8ITzeFmz/3TTORctMYCGEyM2EWg5MqOVg7DCECWrSpAkHDx7k+PHj3Lt3jxUrVuDu/nDyoZ2dXT7P1qVQKJ58kJ6vUapUKU6cOMH333+Pg4MDkydPplWrVgbr5PBo7BYWFjn25Vf+qFAomDZtGnfu3OHcuXNcuXJFW0LxYGEsGxsb5s2bR1hYGGfPnuXkyZP4+Pjg4OCAm5tb4X9DBaB3crtnzx66du3K5cuXefvtt5k5cyYzZ87k7bff5vLly3Tv3p3du3cbMtZirY67JY09dSdHzDufYKRohBDCtD3LyJ4o3mxtbSlXrhw+Pj45krrc+Pn5ERYWRmhoqHZbSEgIYWFhVK5cWbvt7t273L59W/v45MmTqNVq/Pz8cHR0xNvbO8dA35EjR/Dz89M+tra2pkOHDsycOZO9e/dy6dIljh49mmtclpaWZGXl3/vez8+PEydO6EwOO3LkCJaWlpQtW/aJ3/uTmJmZUaJECSwtLVm7di0NGjTIkbhaWFhQsmRJzMzM+Pvvv+nQoYPRR271LkuYMmUKZcuWZceOHTg7O+vsmzRpEu3bt2fatGm0a9eu0IN8Ubznb8+Rew97B/99I4Up9bLwfqQXrhBCCCEKT6tWrfD392fo0KHMmjULgPHjx1OzZk1atGihPc7Gxobhw4czffp0UlNTGT16NB06dKB8+fIAvP/++8ycOZPy5ctTq1YtVq9ezZEjRzhw4AAAK1euJCsri7p162JnZ8f69euxsLCgXLlyucbl4+PDyZMnCQ0Nxd7ePkfuBfD222+zYMECxowZw7BhwwgJCWHatGm888472nrbpxEVFcWGDRto1qwZaWlprFy5ko0bN+p0f7h69SonTpygfv36xMbG8uOPP3Lp0iUWLFjw1OctLHqn1levXmXQoEG5XlwXFxcGDRpU5NfSNrZOPtaUd3yYyGao4ZeLiUaMSAghTFNgZLrO7HohnpZCoeCPP/7A1dWVbt260a1bNzw8PFi5cqXOrX0fHx969epFv3796N69O2XKlGHevHna/cOGDeP9999nypQpNG7cmK1bt/Lbb79pF1xwcnLi999/p1OnTjRp0oRNmzbx+++/a2/zP+7999/H0tKSRo0aUb58ee1cp0eVKFGCNWvWcPbsWZo3b857771Hr169+Oyzz575uqxatYo2bdrQsWNHLl++zJYtW3S6O2RlZTFv3jyaNWtGz549SUtLY+fOnTq1y8aiiI2N1avnVKNGjXjllVcYP358rvtnzZrF+vXr8xxeF/qtN774ciJjjsRpHztZKrjQxwt7C+MO8Rd1xWGt96JIrrvxFPdr/6BNVG4TlIytOFz7uLi4IjlZPDU1NUd7qsIwc+ZMNm3axJEjRwr9tYsLQ137p3kv6p0xTZgwgYULF3Ly5Mkc+44fP86vv/7KpEmTCnRykVO/Cra4WD38Z4lL17AyWBZ1EEKIR9V0taCm65PrKYUQLx69a27/++8/vLy8eOmll6hdu7a2xuTatWucPn2aKlWqcPDgQQ4ePKh9jkKh4Jtvvin8qIsxW3Mlgyvb8c2Zh5PJFlxMZEhlO8yUzz5rUwghioPc2kcJIQQUoCwht1rbJ764QkF0dPSTD3xB6Hur6l5yFtXXhJP+yMp4y1u78LKvjQGjK96Kw23Cokiuu/HItTee4nDtpSxBFJQplSXoPXIbExPz5INEofC0NaNPeVtWPFKOMO98oiS3QgghhBBPILOUTNTIxxZ1OBaRzrH7aUaKRgghTEvlVWFUXhVm7DCEECZIklsTVcXZgnYldZfkm3te2oIJIQRAeIqa8BT1kw8UTy2/FayEeB6e9j0oya0Je6+a7ujtlpuphCRkGikaIYQwHZf6enGpr5exwyi27OzsiI2NlQRXGI1GoyE2NrZAyyU/oHfNrXj+Wnpb4e9szoWY7IRWrYH5FxL5qpHKuIEJIYSRycqNhmVubo6DgwPx8fHGDqVA4uPjcXSUZZmNwRDX3sHBAXPzgqeqktyaMIVCwXvVHBh+8OFkvpXByXxc2xGVlQy6CyGEMBxzc/Mi1zHh/v37lC5d2thhvJBM6dpLhmTiepW1wdv24T9TUqaGpUFJRoxICCGM78NDMXx4SLr4CCFykuTWxFmaKRhaRbf29pdLiaRnSR2UEOLFtfxKMsuvyOqNQoicClSWEBQUxMqVKwkJCcm10FyhULBp06ZCDVDAW37ZK5YlZWZf77BkNX/fSKFfBVsjRyaEEMbxQxOVsUMQQpgovUduV61aRZMmTfjll1+4fv06arUajUaj86VWS1sWQ1BZKXm9om4iO/d8QrGexZqUoS7W358Q4tm86WfHm34Fn0UthCj+9B65nTVrFjVq1GDt2rW4uroaMiaRixH+9iy6nIT6//nehZhMDoSl0apE8Vpm8ExUOh8fi+NQeDpeNkq6lrGhu68NTTwtMVcqjB2eEEIIIUyc3iO34eHhvPHGG5LYGomvgzldfXQT2Skn4slSF4/RzejULEYfjqXVpggOhacD2U3aF11Oovv2SCqvDmfUoRj23kklo5h8z0KIp7ftZgrbbqYYOwwhhAnSO7n19/cnLEyWOjSm96s56Dw+E5XBsitFu3NCllrDkstJ1F13jyVBSeSVtkamqll2JZlXdkZR8c8wRv4Xw45bqaTJxDohXkj99kTTb0+0scMQQpggvZPb6dOns2LFCgICAgwZj8hHfQ9LXilro7Pt85PxRKZmGSmiZxNwL43WmyMYfSSWmDT9k9TYdA0rg5Ppuzs70R36bzRbQ1NIyZREV4gXRYfS1nQoXbzKsoQQhUPvmttvv/0WBwcHOnfuTIUKFShVqhRmZrorxCgUCv76669CD1I89GV9J3bcStV2TohL1zD1RDxzmzkbOTL9hSdnMeVEHKuv5X5LsZyDGdMbZDcO3xiSwrZbqcSl5564xmdo+OtaCn9dS8HOXEGH0ta87GtDu5JW2FlIpzshiqvV7aRETgiRO72T28uXL6NQKChVqhSpqalcvXo1xzEKhUz4MbQSdmZMrOXApyceLom4IjiZgZVsaeBhZcTIniw9S8PPFxP56kwCCRk5k1U7cwVjazowwt8eK7Ps91InHxvSszT8G5bGxpAUtt5MJTot964cSZka1t1IYd2NFGzMFLQrZcXLvja0LyWjO0IIIcSLQu/k9ty5c4aMQxTAMH97Vl5N5nJspnbbmCNx7O/mjpmJdhTYdyeVCUfjuBKXmev+XmVt+Ly+EyXtcq4Xb2mmoF0pa9qVsuZ7tYZD4WlsDEllc2gKEam5J7opWRo2h6ayOTQVKzNo7WLJdyWyKJHL6wshhBCi+JD7tkWQhVLBV41UOtvORWewxASX5Q1NyGTA3ih67ozKNbGt6mzOlk5uLG7lkmti+zhzpYKWJaz5romKy3292NLJjaFV7HSWKH5cWhZsjzCn4fp7LLyYWGw6TAjxIlMtvYNq6R1jhyGEMEGS3BZRLbyteLWc7uSyL07FE5FiGpPLUjI1zDodT8P199gcmppjv5OlgtkNnfi3uwfNvJ6unMJMqaCZlxVfNVJxoY8XOzq7McLfjlJ5JMkJGRomHo2j3dYIAiPTn+qcQhhKSqaGK7EZ0upOCCGeUZ5lCc7OziiVSsLCwrC0tMTZ2fmJNbUKhYKoqKhCD1Lk7ov6Tmy/mUri/yeXxadrmHIinvnNjTe5TKPRsPVmKh8fi+NmYs5EWwEMqGTLZ3UdcbMuvBIBpUJBQ08rGnpaMb2+htORGWwMSWFjaAohCbpxnI7MoM2WCN6tYsfHdRxxkIlnwsgCI9MZsC+aW4lZeNgoGV/TgUF+dliYaJmRKYh9q6SxQxBCmKg8k9vx48ejUCgwNzfXeSxMh7etGRNrOzD5+MPJZX9czZ5c1sjz+U8uC47LYEJAHHvvpuW6v66bBV83UlHH3dKgcSgUCuq4W1LH3ZLP6jqyJCiJqcdjScp6+P5Va2DBxSQ2haQyu5ETXcvY5POKpis1U8OVuAzi0jVUdTbHtRA/MIjn405SFq/tjiI8Jbt+/H6KmrEBccy7kMjkOo70LGuDUn73CiGE3hSxsbFyD+w5CQ4OpmLFioX6mhlqDS023ufSI5PLqrlYsL+b+3Nbrlaj0TA7MIFvzyaQkcv8LjdrJVPrOdK/gq3R/kgfPn+VXyJc2BCSe/uxzj7WfNXQiVL2es+xfK4y1BquxmVyOTaDizHZ/70Uk8n1hEztksyWShjkZ8foGg5425pGkmuI93xxkpChptM/kZyPzsjzmBouFkyp50ibElYFGmCQa288cu2NR6698ZjStTfNv+RCbw8ml3XbHqnddj46g8WXk3i3qr3Bz6/RaPjsRDw/nU/Msc9MAe9UsWNiLUdUVsa99e9upWFZaxd23kplTEAstx4rmfjnZioH7qbxcR1H3q1i99w+GDwuS60hJCGLi7EZXI7J4FJsJpdiMrgan5nrB4dHpavh10tJ/H4libf87BhV3QFPE0lyRU5Zag1D9kfnm9gCnI3OoNfOKJp7WTK1nhN1DXzno6jouzu7BE763QohHpdnxvHvv/8+9Ys+y3MLw6JFi6hRowaenp60bNmSw4cPGzUeQ2vubUXvxyaXTT8Vz/3nMLnsu7OJuSa2zbwsOfiyB7Maqoye2D6qfWlrAnp48GE1e8wey1+TMjV8ciyONpsjOBVh2AlnGo2G0IRMtt9K4YezCQz9N5oWG+9TcsVd6q67x4C90Uw/ncC6Gylcin1yYvuo1Kzskotaa+8x+VicyUwyFLo+PhbHjtu6JTwdS1sz2M8ux3sT4GB4Om23RDBwbxRXYvNPiF8EO26lsuNWzsmqQgiR58ht3759qVatGoMHD6ZLly44Ojrm+0Lx8fFs2bKFpUuXcuHCBe7evVvowepj3bp1TJw4kW+//ZZGjRqxaNEievfuTUBAAKVLlzZKTM/D5/Wd2H4rVbs4QnxG9uSyBQacXPbrpUS+OBWvs83FSsm3jZ3o4WtjsjXadhZKptV3ond5Wz46HMPxCN1E4Wx0Bm23RPBOFTsm13HE0fLZk/Oo1CxORmRwMjKdkxHpnIxML9CSw/kpbW9GplpDWLJuBpySpWHuhUSWBCUxtIod71ezl5pcE/HLxUR+vqTbuq+mqwWLWzpjZ6FkpL89X56KZ30uZTSbQlPZejOV1yvaMrGW4wvbu/nPti7GDkEIYaLyrLm9e/cus2fP5s8//0ShUFC7dm1q1aqFr68vKpUKjUZDbGwsoaGhBAYGcvr0aQD69+/P+PHj8fb2fq7fyANt27bF39+fH3/8UbutTp06vPzyy0yZMsUoMT0gPRmFEEIIURwdb5ZsMjW3T5xQFhUVxapVq/jnn384ffo0KSm6Iwm2trbUrVuXzp0706dPH1xcjPdpOj09HW9vbxYvXkyPHj2028eOHcvFixf5559/cjwnODj4ucVX/z/b53YuIYQQQojn5Xiz5Od6vvwS6SdOKHN1dWXkyJGMHDmSzMxMbt++TXR0NAAuLi6ULl0aMzPTuC0WFRVFVlYW7u7uOtvd3d25f/9+rs95np8yjmP4mYSHwtPosi1SZ9ushk4MK6TJZQfuptJ7VxTpj9wBt1DCn21daVfKulDOYQj6zuLccyeV0YdjCc2lR6+tuYKJtRyo4GTOqYgMTkSmcyoynfj0pysvcLBQ4O9sQRVnc6qoLKjsbEEVlTnuNs/+85SSqWFZUBLfn0vgfkruBbuOlgpG+tszrKo9ToVQepEbU5o9a2zhyVm02xLB7aSH7y2lIvtnp0PpJ//saDQaNoWm8sXJeK7G576Mtbetkgm1HHm9oi0h164W62u/7P8rMr7pZ2fkSHKS973xyLU3HlO69gXqlmBubo6vry++vr4GCkc8q6ZeVvQpb8Nf1x6OsM84FU9PX5tnnjl//H46/fdE6yS2SgX82sLFpBPbgmhb0pojPT345kwCP55LJPORvDU5M7szxNMwU4C/swX13C2p457934qO5pgZqCuDjbmC4f72DPKzZcnlJH44l0hkqm6SG5+uYebpBBZcSOS9ag68W9Wu2C9oEZWaxZQT8RwMS6NNSSs+reOIy3OoQ07KUPPa7iidxBZgZgMnvRJbyO7f/LKvDZ19rFkZnMys0/Ha3rgPhCWrGXU4lrnnE3m7hBkVKmhMtvb9WY06HAuYZnIrhDCuYtUKzNXVFTMzMyIiInS2R0RE4OHhYaSonr8v6mWvXBb/yOSyz07E8XOLpy8ZOR+dwau7IknK1B2l/KGJih5li+YCCHmxNVfyWV0nepez5aPDsQTcL3jnBB97M+q5W1LX3ZK6bhbUcLXA1vz5J4625kreq+bAW352LLqcxJxziUSn6SZEsekavjwVz/wLibxfzZ53qthhXwyT3HPRGby+J0q7ct7SoGT+uZnKnKYqOpY23HtYrdHw7r8xBEbpTlx8p4rdU7Xrs1AqeNPPjj7lbfj5Yvbo/ON3D67GZzIp3ooN0ZH81FRFJZXFM30PpmhQJSnzEkLkrtgt4tC2bVuqVavGnDlztNvq1q1L9+7djT6h7HkO2S+4kMikY3E627Z2cqOpV8FXLrsen0nHfyJy3N6e3sCJkf6G76VbGJ722qs1GlYEJ/Pp8Tji8ig/cLJUUNft/4msuwV13SwLpbTAEBIy1Px6KYkfzyUQm8f342qlpFUJK1RWSlSWClSWSpyslKgslThbKR9ut1Jib67Id2TQVG5T/X09mff+iyUlK/fv+Y2Ktsxo4FQonTEe99nxOH58rF3eSyWt+LOda6H0U45JU/PD2QR+vpRIai5d36zM4JPajoz0tzfYnQKhy1Te9y8iufbGY0rXvtglt+vWrePdd9/l22+/pWHDhixZsoQVK1Zw5MgRfHx8jBrb8/yHz1RraLHpPhdjHtbmVVWZc+BljwKtV38nKYuO/0TkWPRgfC0HPq6df3s4U/Ks1z4iJYvPT8az63YqJe3MqONumT0y62ZBeUfzInfrNz5dzcKLicy7kJhn0q4PcwU4WSpRWWUnwSqr/yfAltlfmsQoXq9dmnKOxrlJlKXWMO1kfI7kMjel7MyY18yZliUKb+nq5UFJfPj/2+cPVHU2Z0cX90IvAbmTlMXswHhWBCdrV617VF03C+Y1d6ZyMRzFNTWm9Ef+RSPX3nhM6doXu+QWshdxmDNnDvfu3aNKlSrMmDGDpk2bGjus5/4Pfzg8jc6PTS6b0cCJEXqOtkamZtH5n0iuxOlOXnm3ih2zGjoVqYTOlH7oTElsmpoFFxNZcCFRW8ZS2MwUMKyqPZNqOzzXcoeYNDVv749m7920HPtalbDiYFgauQ3kDq1ix9R6js9cRrL/biq9dkbpnMPTRsnuru6UNuAyz1diM/j0RHyuCxxYKmFSbUfer2ZvtFX4CktYcvYHblNZavpR8vvGeOTaG48pXftimdyaKmP8ww/7N5pVj0wuc7BQcPwVT7ye8AchLl1Nt22RnH1sadB+FWyZ10yFsggltmBaP3SmKCZNzbwLiSy8kEhipmF+JZS0NWN2Iye6+Fgb/IPRhegMXt8bRUiC7h0HSyV821jFgEp2nIpIZ9jBmBwf3gDKO5qxsLkL9T2ebqnby7EZtN8aoVMLa2Om4J/ObtR2M/zyuRqNhrmHb/BdqHWui4XUdrNgXjNnqjoX3VHcB33DY98qaeRIcpLfN8Yj1954TOnaP/MwikajITn5+fY2E/r7vL4TjhYPE4mEDA2fHY/L5xmQnJk9s/vxxLZbGWt+alr0ElvxZM5WSibXceRCXy/WvuTKzy2cmd3QiYm1HBhW1Y7XytvQsbQ1jT0tqaIyx9tWSUGbDNxJzuKNvdH02xPNzcTcW1kVho0hKbTfGpEjsfW2VfJPZ3cGVMqeXV/H3ZID3T0Y6W/P4+/oa/FZdPgngs9PxpGWR51uXiJSsuizK0onsVUAv7R0fi6JLWR3VujokUVAD0+6+uTsxnA6MoNWm+7zzZkEMnKrYSgCvGyUeNkUv4mPQohnp/fI7ZYtWzh16hSfffaZdttPP/3EzJkzSU1NpWPHjixatAhbW5nBmhdjfar5+WIiE47qJrRbOrnRLJfJZelZGvrviWL3Hd1bua1LWLGqnStWuS16XwSY0ifK4iQ1U0Nsujr7K+3BfzXEpKmJSVfz26U4wtNyJiC25gom1HJghL99gWrA85Ol1jD9dDzfnc1ZX9vQw5LfWrvk2Q7vUHgaIw7G5Nrf2N/ZnIUtXKju8uRRzpRMDd23R+RY0vmLeo68X91Bz++kcDx4z2s0GtbfSGFsQFyOThmQvezvvGbOVNPj+xP6kd83xiPX3nhM6drr/bH3hx9+IDw8XPs4MDCQKVOmULduXd5880127dql06FAmI63K9vl+MM17khsjhGbLLWGof/G5EhsG3pYsqKNS5FNbIXhWJsr8LI1o7LKgkaeVnQsbcNrFWwZ7m/Px7Ud+atOKh9Ws8f8sbdOcqaGKSfiabnxPgH3ctbEFlRsWvbdhtwS27f8bNnc0S3fPs9Nvaw41MODt/xyfji/EJNJm83Zo5yZ+YxyqjUaRv4XkyOxHVTJlveqGa+riEKh4JVytgT09KB7mZyjuGeiMmi9+T5fBcYX2VFcIYR4lN7J7bVr16hRo4b28Zo1a3BxcWHt2rV89913vPXWW6xbt84gQYpnY65U8E0jJ51tl2Iz+fniw0RAo9Ew6nAsG0J0l1eu5mLB6nau2BXDvqfC8GzMYFp9Jw5096BhLvWrF2Mz6fhPJB8ciiEml1FFfVyOzaDtlvvseuxDmYUyuw/z902csdTjg5m9hZLvmziz9iVXvG113+8ZavjyVDwdtkZwJTYj1+fPOJXAuhu6Pz+tSljxTWOVSUy+9LAx47c2rixr5YKrVc7vb8bpBNpsjuBsVMH7OgshhCnRO2NJTU3VKTnYu3cvbdu2xcoq+9Z29erVuXPnTuFHKApFI08r+lfQHZWadTqBsOQsNBoNk4/H83uwbu10eUcz1rV3RWUlia14Nv4uFmzr7MaPTVWoLHMmer9dSabe3/f482oyGo3+o4ebQ1NotzmCa/G65QSeNkq2dHR7qtWr2pWy5kgPT/qUz7mww8nIDFpsus+CC4moH4nzj+AkvjmboHOsn5M5y1q5FFrZRWHpUdaGo6940NM35/d3LjqDNpsjmHk6nvQC1ho/by033aflptyXVRdCvNj0zlpKlizJ6dOngexR3MuXL9OmTRvt/ujoaKyti8cSrMXVtHqOOD6SWCRmavj0eBzfnElg3gXd27ml7MzY0MENDxNdjEAUPUqFgoGV7DjRy5N+FXLe/o9KUzP8YAxdt0cSlMfo6ANqjYbpp+IZsDc6R3eHeu4W7O/uQUPPp+9Xq7JS8ksLF35rnXOUMzULJh2Lo/v2SEITMjkYlpajl62btZLVL5nuB0M3azOWtnZheWsX3K11Y8zUwOzABFpvvk9gpOmO4p6JyuBMVP7vEyHEi0nv37x9+/Zl+fLlvPbaa/Tq1QtnZ2c6duyo3X/q1CkqVKhgkCBF4XC3MePTOroLL6y9nsL007ojTm7WStZ3cDVoL07x4nKzNmNBc2c2d3SjolPO99ih8HSabbzPlyfjScmlLVlcupp+e6L5+kxCjn1vVLRlayf3Qut92t3XhoCeHnTJpePAf+HpNN1wnzf2RpHxSEWFlRn80dYFXwfT//l5+f/f36vlco7iXojJpO2WCL48FV/gjhHPw/5u7uzv5m7sMIQQJkjv5Hb06NGMHj2au3fvUqpUKVasWIGTU3YdZ0xMDIcPH6ZTp04GC1QUjsF+dvnO+na0VLCuvSsVnWTmtDCs5t5W/PeyB5PrOOZoK5ahhm/OJtB4wz323Hm4GMGV2AzabYnIsUCBuQK+aeTET01VhT7x0d3GjBVtXFjY3Fnnzgdk3/14fIW3Bc2caeBReKucGZqrtRmLWrrwexsXPB5rrZWlgW/OJNBq030O3E0rUMmIodVys6TWc2qtJoQoWmQRh+fIVNpkHL2XRod/InNstzXPTmwbPcPtXFNlKtf+RaPvdb8Rn8mYI7G5riYG0NPXhvalrRkfEEvCYyupuVsrWd7ahSa5tLYrbHeSsnjvvxj25RHn5DqOjK35fFt+5eVp3vPRqVlMPBbHX9dSct3v62BG/wq29KtgK3d28iG/b4xHrr3xmNK1f6qCsGvXrhEQEEBcXP6LAQjT1NDTitcr6tY8WihhRRuXYpnYCtNX1tGcv9u7srSVM565NOZfH5LC8IMxORLb2m4W7Ovm/lwSW4CSdtmTLL9t7ITtY/3NXitvw5gaxmv5VRhcrM34pYULf7R1yfXfISQhixmnE6ix5h4vb4/kr2vJJGc+XZeLZzXzdDwzT8cb5dxCCNNWoOR2zZo1VKtWjfr169O5c2cCAwMBiIqKom7duqxfv94QMQoDmFbPEb//1zvamClY1NKFNiVlQqAwHoVCQc+ythx7xZN3qtjlWDXscf0q2PJPJ3dKPecRRIVCwduV7Tn0sgcdSlvjbKVgYCVb5jR1NomWX4Whs48NAT09eS2XjhEAGuBAWBpD/42h8qpwPjwUw7H7z7dsYXZgArMDc9ZdCyGE3sntxo0bGTp0KJUqVeLzzz/X+SXm6upKpUqVWLVqlUGCFIXPzdqMXV3d2djBlZO9PHk5l7ZAQhiDk6WSrxup2NvNnZquOWu/zRQwq6ET85upsHl8dYjnqKyjOavbuXKjfwl+bOpc7BY5cbZSsrCFC5s7utHT1wbLPP5axGdoWH4lmfZbI2mw/j7fn81uMWhoE2o5MKGWaZSACCFMi95DHt9++y2tWrVi3bp1REdH8+mnn+rsr1evHkuWLCn0AIXhOFoqaVlCRmuFaartZsneru78ejmJ6afiScjQ4GGjZHFLF5p7S/nM89Lc24rm3lbEpKn5+3oyK68mczoy9xZcwXGZTDsZzxen4mlbwor+FW3pVNoG62f4EBKTpuZ6fCbX4zO5kfDgv1ncSMgEskeRP67tmP+LCCFeKHont1euXGH69Ol57nd3dycyMuckJSGEeFpmSgXDqtozoKItF2MyqelqoddqY6LwOVspGVLFniFV7LkYk8EfwcmsvpZMRGrOmlu1BnbdSWPXnTRUlrG8Ws6W1yvaUsvVIkfphkaj4V6K+mHiGp+duF7//+PHu1E87qvABGq7WtDJR+4+CSGy6Z3c2trakpSUlOf+Gzdu4OrqWihBCSHEo+wslNTPZfleYRxVnS34soETU+o5svt2KiuDk9l+K5Vc2hITm65h0eUkFl1OoqrKnJfL2pCUodGOxN5IyCI5tycWwLwLiZLcCiG09E5uW7RowR9//MGwYcNy7AsLC2P58uV07ty5UIMTQghhuiyUCjr52NDJx4bI1CzWXEth5dVkzkfnXrZwMTaTi6cLfxLYf+HpnI/OoFo+PbyFEC8OvZPbTz/9lLZt29KqVSt69OiBQqFg165d7Nu3j+XLl2NmZsaECRMMGasQQggT5WZtxnB/e4b723M2Kp2VwcmsuZ5CdNqztQqzNoOyDub4OphTztGcco5mlHUw54290TojvgsvJjK3mfOzfhtCiGJA7+S2fPny7Nixg4kTJzJr1iw0Gg3z5s0DoHnz5nz33XeULl3aYIEKIYQoGmq4WlLD1ZIv6jux/VYqK68ms/t2Knmt4utgoaDsI8nrg0S2rIM53rZKlLm0WPu5hTMD9kZrH6+5nszUeo64Pb7cnRDihVOgBpF+fn6sX7+e2NhYrl+/jlqtxtfXFzc3N0PFJ4QQooiyNFPQ3deG7r423EvO4u8bKVyNy8TdRvn/5NWMco7muFopC9wjuHNpa3zszbiZmN12LC0Lll5OYlwt6ZwgxIvuqbqfq1Qq6tSpU9ixCCGEKKY8bc0Y4V94K7iZKRUMrWLH5OMPVylbfDmJD6s7SEcNIV5weSa3hw4deqoXbNq06VMHI4QQQuij8qow1BoNduYKkv5fexueomZDSAp9yts+4dlCiOIsz+S2a9euBbpNpNFoUCgUREdHP/lgIYQQ4hmEp2RPVHunih2/XnrYpnLhxUR6l7MpNkshCyEKLs/kdvPmzc8zDiGEEEJvl/p6AZCUodZJbk9FZnA8Ip0GHrKKnRAvqjyT22bNmj3POIQQQgi9eds+6IpgRvtSVuy8nabdt+BCkiS3QrzAlMYOQAghhHgWw6vqTlTbFJrC7cRMI0UjhDC2AnVLSE1NZfPmzQQGBhIfH49arducW6FQMHfu3EINUAghhHjch4diAJjT1JlWJayorDLncmx2QpulgUWXk5haz8mYIQohjETv5Pb27dt069aNkJAQnJyciI+Px9nZmdjYWNRqNa6urtjZ2RkyViGEEAKA5VeSgezkVqFQMKyqPaMOx2r3LwtKYnwtB2zN5QalEC8avX/qp0yZQnR0NDt37uTkyZNoNBqWLFnC3bt3+fTTT7GxsWHjxo2GjFUIIYQA4IcmKn5ootI+7lPeBmerhx0SYtM1/HUtxQiRCSGMTe/kdv/+/bz99tvUr18fpfLh06ysrBg9ejRNmjRh0qRJBglSCCGEeNSbfna86ffwbqGtuZJBlXTvHi68mIhGk8eav0KIYkvv5DYpKQlfX18ALC0tAUhISNDub9y48VMv/CCEEEI8qyGV7Xh0cbLLsZnsv5uW9xOEEMWS3smtt7c34eHhANjZ2eHs7My5c+e0+2/duoWFhUXhRyiEEEI8ZtvNFLbd1C07KGVvTvcyNjrbFl5MfJ5hCSFMgN4Typo0acLevXsZP348AN27d2fu3LmYm5ujVqtZuHAhHTp0MFigQgghxAP99mSvhhn7Vkmd7cOq2rE+5GHSu+N2GlfjMqjgJIMvQrwo9E5uR4wYwb59+0hNTcXa2pqpU6cSEhLCjBkzgOxFH2bNmmWwQPXRpUuXHKURr7zyCkuWLDFSREIIIQyhQ2nrXLc38LCkjpsFpyIztNt+vpTE141UzykyIYSx6Z3c+vv74+/vr32sUqnYsGEDsbGxmJmZ4eDgYJAAC+r111/ns88+0z62ts79F6AQQoiia3U711y3P2gLNvTfGO22P4KT+aS2IyoraQsmxIvgmX/SnZycMDMze/KBz4mtrS2enp7aLycnaeIthBAvkh6+NnjZPPzzlpSpYUVwkhEjEkI8T4rY2Fi9+qRs2bKFU6dO6YyK/vTTT8ycOZPU1FQ6duzIokWLsLW1NViwT9KlSxcuXboEgIeHB+3atWPChAn5jioHBwc/r/CEEEI8J4tvmrPwpqX2cQkrNevqpep0UxBCFF0VK1bMc5/eyW27du2oVKkS8+fPByAwMJA2bdrQtGlTKlasyO+//87o0aON2ut22bJllC5dGi8vLy5fvsy0adMoX74869evN1pMjwoODs73H0MYjlx745DrbjzF/dqrlt4Bck4oeyAyNQv/v8JJy3q4bUUbF7o+1k3BEIr7tTdlcu2Nx5Suvd41t9euXePVV1/VPl6zZg0uLi6sXbsWKysrzM3NWbduXaEnt19++SXffPNNvsds3ryZ5s2b8+abb2q3+fv74+vrS9u2bQkMDKRWrVqFGpcQQgjT5WZtxqvlbFkZnKzdtuBi4nNJboUQxqV3cpuamqpTcrB3717atm2LlZUVANWrV2fFihWFHuDw4cPp06dPvseUKlUq1+21a9fGzMyM69evS3IrhBDFSF4jto8aVtVeJ7k9FJ7O2ah0arha5vMsIURRp3dyW7JkSU6fPs3AgQO5du0aly9fZtSoUdr90dHRBulM4Orqiqtr7rNin+TChQtkZWXh6elZyFEJIYQwddVdLGjmZcl/4enabT9fSmJeM0luhSjO9E5u+/bty8yZMwkLC+Py5cs4OzvTsWNH7f5Tp05RoUIFgwSpjxs3bvDXX3/Rvn17XFxcCAoKYvLkydSoUYNGjRoZLS4hhBDGM7yqPf+FR2sfr7mWzNS6jrjbmE6XHyFE4dK7Fdjo0aMZPXo0d+/epVSpUqxYsULbZismJobDhw/TqVMngwX6JBYWFhw4cIBXXnmF+vXrM2HCBFq3bs3GjRtNqlWZEEKIZ9d3dxR9d0c98biOpa0pY//wb0C6GpYGSVswIYozvUduzczMmDx5MpMnT86xz9nZ2egttUqVKsU///xj1BiEEEI8Hztupep1nJlSwdCq9nxyLE67bfHlJEZVd8BS+oIJUSzJci1CCCGKnD/buvBnWxe9jn2joi325g8T2XspataHpBgqNCGEkUlyK4QQosjp5GNDJx/92no5WSrpX1F3gaGFFxPRaPRq8y6EKGIkuRVCCFHsvVvFnkeLEE5HZnD0fnqexwshii5JboUQQhQ5y4KSWFaAiWHlncxpX1q3XeXCizKxTIjiSJJbIYQQRc6ow7GMOhxboOcMr2qn83hzaAq3EjMLMSrIVGuIzSjUlxRCFJAkt0IIIYqcQZVsGVTJ9skHPqKltxVVVA+bBGVpYNGlwhm9vRybwbiAWMr9EcZLR215e380aqnpFcIoCpTcRkdH8+WXX9KhQwfq1KnDsWPHtNtnz55NUFCQQYIUQgghHjWnqTNzmjoX6DkKhYJhVe11ti2/kkRShvqpYkjP0vD39WQ6/xNBo/X3+fVSEvEZ2Qnt3zdS2HBDOjIIYQx6J7ehoaE0a9aMuXPnkpGRQUhICCkp2T+4Li4urFu3jkWLFhksUCGEEOJZ9S5vg7PVw6llseka/rpWsCQ0NCGTz0/G4f9XOG8fiOHwvdwnpklNrxDGoXdyO2XKFDQaDQEBAaxZsyZHC5XOnTtz4MCBQg9QCCGEeFxYchZhyVkFfp6tuZK3/HRrb/VpC5al1rDjVip9d0VSa+09vjubSERq/iO+xyLSOREhHRmEeN70Tm7379/PO++8g6+vLwpFzlVdypQpw927dws1OCGEECI3VVaHU2V1+FM99+3K9jy6OFlQXCb77qbleuz9lCy+PZNArb/v0Xd3FDtup5FXGtzE05KarhY62xZeTHyqGIUQT0/v5DYtLQ2VSpXn/ri4OJRKmZ8mhBDC8LxslHjZPN3fnJJ2Zrzsq7sAxKNJqEaj4b/wNAbvj8b/r3C+OBXPrcTcR4kdLRS8U8WOIz08+KezO5/VddTZv+FGCneSCj7CLIR4euZPPiRblSpVOHToEIMHD851/9atW6lRo0ahBSaEEELk5fJr3s/0/OFV7Vn3yISvnbfTOPn/MoKlQUlcjs2/RVgNFwvermzHq+VssLN4mGS3KWFFWRs1N1Kyt2VqYNGlRKbUc3qmeIUQ+tM7uR0+fDjvvvsuVapUoWfPngCo1WquXLnCV199xYkTJ1i5cqXBAhVCCCEKS30PS+q6WXAy8mFT2rZbIvJ9jrUZ9Cxry9uV7ajrZpFriZ5CoeC1EpnMvGap3bY0KIlxtRywNZe7m0I8D3ont7179+b27dvMmDGDGTNmANCrVy8AlEol06ZNo1OnToaJUgghhChkw6ra886/MU88rryjGW/52fF6RTucrZ6coHb2yGTBLSti07Orc2PTNay+msJble2e8EwhRGHQO7kF+Oijj+jduzebNm3i+vXrqNVqypYtS7du3fD19TVQiEIIIYSulpvuA3Cgu8dTv8bLvjZ8diKOsOScXQ/MFNDFx5rBle1o4W2FMpdR2rxYm8FbfnZ8f+5hHe+Ci4kM8rMt0OsIIZ6O3sntrVu3cHNzo1SpUowYMSLH/pSUFCIjIyldunShBiiEEEI87kzUs69xa2mm4KPqDow/GqfdVsJWySA/OwZWssPb1uypX3tIFXt+Op9I5v9bK1z5f0eGtiWtnzVsIcQT6F0AVLNmTbZs2ZLn/m3btlGzZs1CCUoIIYTIz/5u7uzv5v7Mr/NOFTvmNlMxvKodK9q4cLa3FxNqOT5TYgvZHRl6lNXtyLDggrQFE+J50Hvk9kkNrjMzM3MtrhdCCCEKWy03yycfpAeFQsEbFQ1TCzu8qj1rrz/syLD7ThpBsRn4qSzyeZYQ4lkVaOpmXslrXFwcu3fvxt392T9FCyGEEMVBXXdLGrjrJuE/y5K8QhhcvsntrFmzcHFxwcXFBYVCwdChQ7WPH/0qW7Ysa9as0XZPEEIIIQxp5ul4Zp6ON3YYTzTcX3dU+M+ryUSnyqIOQhhSvmUJdevW5e233wZg0aJFtG7dmvLly+sco1AosLOzo1atWnTv3t1wkQohhBD/NzswAYBJtR2fcKRxdStjQym7eG7/f5WylCwNy68k81ENByNHJkTxlW9y+9JLL/HSSy8BkJSUxODBg6lXr95zCUwIIYTIy4RaRSM5NFdmL8875cTDUeZfLyXyXjV7LJQyT0UIQ9C75rZMmTLY2trmuf/SpUvMnj27UIISQggh8jOptqPJj9o+MLCSHbbmDxPZu8lqNoWk5PMMIcSz0Du5nT17NhcuXMhzvyS3QgghRE7OVkr6VdAdHFpwUdqCCWEoeie3T2oFlpiYiIWFtDcRQghheIGR6QRGphs7DL29W0V3YtmJiAyO3y868QtRlORbc3v+/HnOnTunfXzkyBEyMzNzHBcbG8uSJUuoWLFi4UcohBBCPKbV5ggAYt8qaeRI9FNJZcFLJa3YdSdNu23BxUTqe7gYMSohiqd8k9stW7ZoSw0UCgVLly5l6dKluR6rUqn45ZdfCj9CIYQQ4jE1XYvencLh/vY6ye3GkBRuJ2ZSyl7v9ZSEEHrI9yfqzTffpGPHjmg0Gtq0acPHH3+s7Z7wKDs7O8qWLYu5ufyACiGEMLwD3T2MHUKBtS5hhZ+TOUFx2XdAszSw6HISU+s5GTkyIYqXfLNRLy8vvLy8ANi8eTN+fn6yCpkQQgjxFBQKBcP97Rl1OFa7bVlQEuNqOmBnUaAFQ4UQ+dD7p6lZs2a4u7sTHx/Pvn37+Ouvv7h//74hYxNCCCGKlT7lbXC2etgWLDZdw6pryUaMSIjip0AfFb/99luqVKnCK6+8wrBhw7h06RIAUVFReHt7s2TJEoMEKYQQQjyq8qowKq8KM3YYBWZrrmSwn27nhIUXk1A/oSOREEJ/eie3S5Ys4csvv+TVV19l6dKlOq3BXF1d6dy5Mxs2bDBEjEIIIYSO8BQ14SlqY4fxVN6ubM8jazoQHJfJnkcmmgkhno3eye3PP/9Mjx49mDNnDi1atMixv0aNGly5cqVQg3vUsmXL6Nq1Kz4+PqhUKkJDQ3McExsby9ChQ/Hx8cHHx4ehQ4cSGxtrsJiEEEIYx6W+Xlzq62XsMJ5KCTszepa10dm24IIs6iBEYdE7uQ0JCaFly5Z57lepVMTExBRKULlJTk6mTZs2TJw4Mc9jhgwZwtmzZ1m7di1r167l7NmzvPvuuwaLSQghhHF425rhbWtm7DCe2rCq9jqP995N41JMhpGiEaJ40bt3l0qlIiIiIs/9ly5dwtPTs1CCys2IESMAOH36dK77g4KC2L17N9u3b6dBgwYAfP/993Tq1Ing4GBZYEIIIYTJqOtuSUMPS44+skrZzxcT+aGpsxGjEqJ40Du5bd++PcuXL2fIkCE59p0/f57ffvuNgQMHFmpwBXHs2DHs7e1p2LChdlujRo2ws7Pj6NGjeSa3wcHBzytEo5xPPCTX3jjkuhtPcb7204MtAfikomkuYavPte/hYsbR+1bax39eTeJ150hURW99CpNSnN/3pu55Xvv8Bi31Tm4nT57Mvn37aNy4Me3bt0ehULBy5UqWL1/O1q1bKVGiBOPHjy+UgJ/G/fv3cXV1RaF4WKWvUChwc3PLt2XZ8xzRlRFk45Frbxxy3Y2nuF/7Df/dAWBZ5zJGjiQnfa992fIa5t26x+2kLADS1Ar+zfBiTFUHQ4dYbBX3970pM6Vrr3fNraenJ/v376dDhw5s3rwZjUbDmjVr2L17N71792bXrl24uBRsjewvv/wSlUqV79fBgwcL/E0JIYQo3n5oouKHJipjh/FMzJUKhlbRbQu26HIi6VnSFkyIZ6HXyG16ejrHjx/Hy8uLOXPmMGfOHCIjI1Gr1bi5uaFUPt3KKsOHD6dPnz75HlOqVCm9XsvDw4OoqCg0Go129Faj0RAZGYmHR9FbplEIIUTe3nysV2xRNbCSHbMCE0jOzE5ow5LVbAxJoXd5WyNHJkTRpVdya25uTo8ePZgxYwbly5cHwM3N7ZlP7urqiqur6zO/DkCDBg1ITEzk2LFj2rrbY8eOkZSUpFOHK4QQQpgKlZWS/hVsWXQ5Sbtt/sVEXi1no1NmJ4TQn15DrkqlEh8fHxITjdeH7969e5w9e5arV68C2d0Rzp49q20/5ufnR7t27fjoo484duwYx44d46OPPqJDhw4mUwMihBCicGy7mcK2mynGDqNQvFtVdxT6dGQGx+6b5kQ5IYoCvesJhg0bxrJly/JtB2ZIS5YsoUWLFrzzzjsA9OnThxYtWvDPP/9oj1m0aBHVqlWjV69e9OrVi2rVqvHzzz8bJV4hhBCG029PNP32RBs7jEJR0cmC9qWsdLYtuJiUx9FCiCfRu1tCcnIytra21KlThy5duuDr64uNje4KKwqFgg8++KDQgwSYNGkSkyZNyvcYlUrFL7/8YpDzCyGEMB0dSlsbO4RCNbyqPTtvP1yCd1NoCjcTM/Gx1/vPtBDi//T+qZk6dar2/1evXp3rMYZMboUQQogHVrcrnPkapqJVCSuqqMy5FJsJgFoDiy4l8Xl9JyNHJkTRo3dye+bMGUPGIYQQQrywFAoFw/3t+eBQrHbbsitJjK/lgL3F03UkEuJFpXdy6+PjY8g4hBBCiBda73K2TD0RT3SaGoD4dA1/Xk3mnSr2Ro5MiKJFPg4KIYQoclRL76BaesfYYRQqG3MFgx/r37vwYiJqjSzqIERBFKhS/eLFi/z8888EBgYSHx+PWq3W2a9QKAgMDCzM+IQQQogXxttV7PjhXAL/X9OBa/FZ7LqdVuwm0AlhSHqP3B45coQ2bdqwbds2vLy8CAkJwdfXF29vb27duoWdnR1NmjQxZKxCCCEEALFvlST2rZLGDqPQedua8UpZ3U5EP55PIEMto7dC6Evv5Hb69OmULl2a48ePM3/+fABGjx7N9u3b2bZtG3fu3OHVV181WKBCCCHEi2C4v26N7aHwdJpsuM+2mylopERBiCfSO7kNDAxkwIABODk5oVRmP+1BWULDhg0ZNGgQ06dPN0yUQgghxAuitpsljTwsdbYFx2XSb0803bdHciZKVi8TIj96J7cKhQInp+x+e7a2tgBERz9cHaZChQpcunSpkMMTQgghcuq7O4q+u6OMHYbB/NBUhcpSkWP7wfB0Wm2KYMTBGO4mZRkhMiFMn97JrY+PDyEhIQBYWVlRpkwZ9u3bp91/+PBhXFxcCj1AIYQQ4nE7bqWy41aqscMwmMoqCwJ6ejKgoi2Pp7ga4I+rydRbd48Zp+NJzFDn9hJCvLD0Tm7btGnD+vXrtY8HDRrEypUr6d69O926dWP16tX07t3bIEEKIYQQj/qzrQt/ti3eAypetmb81MyZf1/2oFUJqxz7kzM1fBWYQL2/7/H7lSSyZNKZEEABWoGNGTOGXr16kZGRgYWFBaNGjSIrK4uNGzdiZmbGxIkTGT16tCFjFUIIIQDo5GPz5IOKieouFqxv78qu22l8ejyOoLhMnf3hKWrePxTLwouJTG/gRKsS0jZMvNj0Tm5VKhW1atXSPlYoFIwdO5axY8caIi4hhBBC/J9CoaB9aWvalLTityvJzDgdT2SqbjnChZhMeuyIon0pKz6v70RllYWRohXCuGSFMiGEEEXOsqAklgUlGTuM585cqWBwZTtO9fLko+r2WJnlPGbn7TSabrjPmCOxRKTIpDPx4tF75HbkyJH57lcoFFhbW1OiRAmaNWtGgwYNnjk4IYQQIjejDscC8OZjy9W+KBwtlUyp58Rble344mQ8a66n6OzP0sDiy0n8dS2Z0TUcGF7VHmvznN0XhCiO9E5uDx48SEpKCpGRkUB2mQJAbGwsAG5ubqjVaqKjo1EoFLRt25bly5dr24YJIYQQhWVQJfnbAuBjb86vLV0YVjWdT47FEXBftwduQoaGaSfjWRKUxJS6jvQqa4NCIUmuKN70Lkv466+/sLS0ZOLEidy4cUP7df36dSZMmICVlRU7duwgJCSEcePGsXv3blnUQQghhEHMaerMnKbOxg7DZNR1t2RbZzeWt3ahrEPOWoVbiVkMORDDgL3RZEpXBVHM6Z3cjh8/ng4dOjBhwgTtqC2As7MzEydO5KWXXmLcuHE4OTkxadIkevXqxcaNGw0RsxBCCCEeo1AoeNnXhoCennxZ3xGnXBaB2HIzlR/PJxohOiGeH72T2xMnTuDv75/n/mrVqnHs2DHt48aNGxMREfFs0QkhhBC5CEvOIixZJkvlxspMwXvVHDjdy5NhVe14vNR25ul4zkdnGCc4IZ4DvZNbJycn9uzZk+f+Xbt24ejoqH2clJSEg4PDs0UnhBBC5KLK6nCqrA43dhgmzcXajFkNVRzp6YGL1cM/9xlqGHYwhvQsKU8QxZPeye3AgQPZtm0br7/+Onv27NHW3O7Zs4f+/fuzc+dOBg4cqD1+586dVK9e3SBBCyGEeLF52SjxspFulvqo6GTB901UOtvOR2fw1ZkE4wQkhIHp3S1h4sSJpKamMn/+fLZt26azz8zMjJEjRzJx4kQAUlNT6d+/f75lDEIIIcTTuvyat7FDKFJe9rXh1XI2rH2kZdj3ZxPoVNqauu6WRoxMiMKnd3KrUCiYNm0a7733HgcOHODWrVsAlC5dmpYtW+Lu7q491tramv79+xd+tEIIIYR4Kl83UnEwLI17Kdkrm2VpYPjBGA5098BGeuCKYkTv5PYBd3d3Xn31VUPEIoQQQggDcbZS8mNTZ/rujtJuuxKXyZen4pnewMmIkQlRuKRgSQghRJHTctN9Wm66b+wwipwOpa0ZUFF3AYz5FxI5FJ5mpIiEKHx5jtw6OzujVCoJCwvD0tISZ2fnJ65qolAoiIqKyvcYIYQQ4lmdiZJWVk9regMn9t1N43ZSdis1DTDiYAyHenhgbyFjXqLoyzO5HT9+PAqFAnNzc53HQgghhLHt7+b+5INErhwtlcxr5szLOyK120ITs/jseDzfPdZVQYiiKM/kdtKkSfk+FkIIIYyllpvM8H8WLUtYMbSKHb9cStJuWxKURJcy1rQtaW3EyIR4dnL/QQghhHgBTa3nSHlHM51t7/8XQ2ya2kgRCVE49E5uv//+ezp06JDn/k6dOvHTTz8VSlBCCCFEfmaejmfm6Xhjh1Gk2Zormd/MGeUjFYd3k9VMPBprtJiEKAx6J7dr1qyhfv36ee6vX78+q1atKpSghBBCiPzMDkxgdqCssPWsGnpa8UE1e51tq66lsCU0JY9nCGH69E5uQ0JCqFixYp77y5cvT2hoaKEEJYQQQuRnQi0HJtRyMHYYxcKk2o5UUelOwfnocCyRqVlGikiIZ6N3cmtlZUV4eHie+8PCwlAqDVfCu2zZMrp27YqPjw8qlSrXRLp69eqoVCqdr6lTpxosJiGEEMYxqbYjk2o7GjuMYsHKTMGC5s48ukhZRKqa0Ydj0Wg0xgtMiKekdzbaoEEDVqxYQVxcXI59sbGxrFixgoYNGxZqcI9KTk6mTZs2TJw4Md/jxo8fT1BQkPZr7NixBotJCCGEKA5quVky7rGR8E2hqfx9Q8oTRNGj9/K7EydOpFOnTjRt2pThw4dTpUoVAC5evMjChQuJiIhg2bJlhoqTESNGAHD69Ol8j3NwcMDT09NgcQghhDC+wMh0QFqCFabRNRzYdjOVwEcWyBh7JJamXlZ425rl80whTIsiNjZW73sOBw4c4MMPPyQ0NFS7oINGo8HX15fvv/+eVq1aGSpOrdOnT9O6dWvOnDlDmTJldPZVr16dtLQ0MjIyKFmyJD169OCDDz7A0jLvX37BwcGGDlkIIUQhq/9f9hKyx5slGzmS4uVakoKBgdakax7WKDR1zuL7qmnIOk7ClOQ3D0zvkVuAli1bcvr0ac6cOcONGzcAKFu2LDVr1jSJ1cveffddatSogYuLC6dOnWLq1KmEhobm26Isv4tT2IKDg5/r+cRDcu2NQ6678RT3a1/z0n3g+f4O11dRvvYVgU/NEvj0xMM2a4dizAigBAMr2hkvMD0V5Wtf1JnStS9QcgugUCioVasWtWrVeuaTf/nll3zzzTf5HrN582aaN2+u1+u999572v+vVq0aDg4OvPXWW0ybNg0XF5dnilUIIYTpONDdw9ghFFsj/O3ZejOVgPvp2m0fH42jpbcVZRwKnDYI8dwZ9V06fPhw+vTpk+8xpUqVeurXr1u3LgDXr1+X5FYIIYTQg5lSwfzmzjTbeJ/kzOzKxcRMDe/9F8PGjm4oTeBOrRD5MWpy6+rqiqurq8Fe/9y5cwAywUwIIYQogHKO5nxez5GxAQ87JB0MT+fXS0m8W9U+n2cKYXxF5v7CvXv3uHfvHlevXgUgKCiIuLg4SpcujbOzM8eOHeP48eM0b94cR0dHTp8+zccff0ynTp0oXbq0kaMXQghRmCqvCgPg8mveRo6k+Bpc2Y4tN1PZfzdNu23qiXjalrSigpOFESMTIn+GW3WhkC1ZsoQWLVrwzjvvANCnTx9atGjBP//8A4ClpSXr16+na9euNGrUiBkzZjBw4EAWL15szLCFEEIYQHiKmvAUtbHDKNaUCgU/NVXhaPGwDCElS8PwgzFkqWVxB2G6iszI7aRJk5g0aVKe+2vVqsXu3bufY0RCCCGM5VJfL2OH8EIobW/OzIZOjPwvVrvteEQGP51PZFQNWf5YmKYiM3IrhBBCPOBtayYLCzwn/SvY0rG0tc62GafjuRCdkcczhDCuAo3cXrx4kZ9//pnAwEDi4+NRq3VvCSkUCgIDAwszPiGEEEIYkUKhYE4TFY023CMmLbscIV0Nww/GsLebO+ZK6Z4gTIveI7dHjhyhTZs2bNu2DS8vL0JCQvD19cXb25tbt25hZ2dHkyZNDBmrEEIIAcCHh2L48FCMscN4YXjamvFdY5XOtrPRGfx1TVaIE6ZH7+R2+vTplC5dmuPHjzN//nwARo8ezfbt29m2bRt37tzh1VdfNVigQgghxAPLrySz/IokVs9Tz7K29PS10dk2OzCBDJlcJkyM3sltYGAgAwYMwMnJCaUy+2kPyhIaNmzIoEGDmD59umGiFEIIIR7xQxMVPzRRGTuMF87Ueo5YPJI5hCZmsTJYPmQI06J3cqtQKHBycgLA1tYWgOjoaO3+ChUqcOnSpUIOTwghhMjpTT873vSzM3YYL5wyDuYMqKh73b85k0BalozeCtOhd3Lr4+NDSEgIAFZWVpQpU4Z9+/Zp9x8+fFiWuBVCCCGKuTE1HbB6pFHF7aQslgclGS8gIR6jd3Lbpk0b1q9fr308aNAgVq5cSffu3enWrRurV6+md+/eBglSCCGEeNS2mylsu5li7DBeSCXtzHizku7o7XdnE0jJlNFbYRr0Tm7HjBnDsmXLyMjI7ms3atQoPvnkE2JiYkhISGDixIl8/PHHBgtUCCGEeKDfnmj67Yl+8oHCIEbXcMDG7GELsPAUNYsvJxoxIiEe0rvPrUqlolatWtrHCoWCsWPHMnbsWEPEJYQQQuSpw2OLCojny9PWjHeq2PHj+YcJ7Q/nEnnTzw57C1kfShiX3u/Abt26ceDAgTz3//vvv3Tr1q1QghJCCCHys7qdK6vbuRo7jBfah9XtsTd/OHobmarm10tSeyuMT+/k9r///uP+/ft57o+MjOTQoUOFEpQQQgghTJurtRnDqtrrbPvxfALx6eo8niHE81Fo9w7u3LmDnZ20ZRFCCCFeFO9Vs8fR8uHobUyahgUXpfZWGFe+Nbdbt27ln3/+0T5etmwZ+/fvz3FcbGwsBw4coG7duoUeoBBCCPE41dI7AMS+VdLIkbzYVFZKRvrbM/N0gnbbvAuJvFvFHpWV1N4K48g3uQ0KCmLjxo1A9gSykydPcubMGZ1jFAoFtra2NG3alJkzZxouUiGEEEKYnOFV7Vl4MZGYtOxWYPHpGuaeT2RyXUcjRyZeVPkmt6NHj2b06NEAODs789NPP0kvWyGEEEYnI7amw9FSyQfVHJh2Ml67beHFRIb72+FqbZbPM4UwDL3vGcTExEhiK4QQQogc3qlih5v1w5QiMVPDnHNSeyuMQwpihBBCCPFM7C2UjKqu2znh10tJ3EvOMlJE4kWWZ1lCjRo1UCqVHD9+HAsLC2rUqIFCocjrcCC7/jYwMLCwYxRCCCF09N0dBSC9bk3I25XtmXs+kfCU7FZgKVkavj+XwKyGKuMGJl44eSa3TZs2RaFQoFQqdR4LIYQQxrbjVqqxQxCPsTFXMLqGA+OPxmm3LQ1K4v1qDpS0k9pb8fzkmdwuWLAg38dCCCGEsfzZ1sXYIYhcDPLLXpL3dlJ2OUJaFnx7JoHvmqiMG5h4oUjNrRBCiCKnk48NnXxsjB2GeIyVmYKxNR10tv0enERoQqaRIhIvogIlt5mZmfz++++88cYbtGjRghYtWvDGG2/w+++/k5kpb1whhBDiRfd6RVvK2D8sQ8hQw9dnEvJ5hhCFS+/kNiIigtatW/PBBx/w33//oVAoUCgU/Pfff3zwwQe0atWK+/fvGzJWIYQQAoBlQUksC0oydhgiFxZKBeNr6Y7e/nk1mevxMggmng+9k9vx48cTFBTETz/9xLVr1zhw4AAHDhzg2rVr/Pjjj1y5coUJEyYYMlYhhBACgFGHYxl1ONbYYYg89C1vSwXHh9N6sjQwKzA+n2cIUXj0Tm53797Nu+++yxtvvIGZ2cPbDWZmZgwYMIB33nmH3bt3GyRIIYQQ4lGDKtkyqJKtscMQeTBXKpjw2OjtmmspBMVmGCki8SLRO7m1tLSkdOnSee4vU6YMVlZWhRKUEEIIkZ85TZ2Z09TZ2GGIfLxS1obKqoejtxpg1mmpvRWGp3dy+8orr/D333+TkZHzU1d6ejp///03PXv2LNTghBBCCFE0mSkVTKrtqLNtfUgK56Nl9FYYVp59bh/XvXt3Dh8+TOvWrRk8eDDlypUD4Nq1ayxduhSAl19+mZMnT+o8r27duoUYrhBCCAFh/1/W1dtWFgcwZd3KWFPdxYJzjyS0M0/Hs7KtrCwnDKdAye0DY8aM0a5WptFocj1Go9GgUCiIjo4ujDiFEEIIrSqrwwGIfaukkSMR+VEqFHxc24F+ex7mAltvphIYmU4tN0sjRiaKM72T23nz5hkyDiGEEEJvXjayBlFR0bG0NXXdLDgZ+XD0dsbpeP56yc2IUYniTO/ktn///oaMQwghhNDb5de8jR2C0JNCoeDjOo702hml3bbzdhrH7qfRwEMmoovCVyQ++sbExDBu3Djq16+Pl5cX/v7+jB49OkfJQ2xsLEOHDsXHxwcfHx+GDh1KbGyscYIWQgghBABtSljRyEO3DGGGdE4QBqL3yC1AamoqmzdvJjAwkPj4eNRqtc5+hULB3LlzCzVAgLCwMMLCwpg2bRqVK1fm7t27jB07lrfffpv169drjxsyZAi3b99m7dq1AHzwwQe8++67rF69utBjEkIIIYR+Hozedt8eqd22/24ah8LTaOolo7eicOmd3N6+fZtu3boREhKCk5MT8fHxODs7Exsbi1qtxtXVFTs7O4MEWbVqVVasWKF9XK5cOT7//HP69u1LfHw8jo6OBAUFsXv3brZv306DBg0A+P777+nUqRPBwcFUrFjRILEJIYR4/lpuyl7u/UB3DyNHIvTVwtuK5l6WHAxP126bfiqerZ3ctJPUhSgMeie3U6ZMITo6mp07d1KuXDkqVKjAkiVLaNSoEfPmzWPp0qVs3LjRkLHqSEhIwMrKClvb7BVqjh07hr29PQ0bNtQe06hRI+zs7Dh69GieyW1wcPBziddY5xMPybU3DrnuxlOcr/2ZqOzf/ab6PZpqXMY2yEPJwXBr7ePD99JZeeI6DVXqfJ5VMHLtjed5Xvv8Bi31Tm7379/P22+/Tf369YmJidFut7KyYvTo0QQFBTFp0iT+/PPPZ4tWD7GxsUyfPp2BAwdibp79Ldy/fx9XV1edT38KhQI3Nzfu37+f52s9zxFdGUE2Hrn2xiHX3XiK+7Xf75w9+lfRBNtJFfdr/ywqAn9GRbLnTpp22/J7Drxez71QRm/l2huPKV17vSeUJSUl4evrC2QvxQvZo6cPNG7cmEOHDhXo5F9++SUqlSrfr4MHD+o8JzExkX79+uHt7c3nn39eoPMJIYQoHmq5WUqf1CLq48dWLTsekcHO22l5HC1Ewek9cuvt7U14eHbTbDs7O5ydnTl37hxdu3YF4NatW1hYWBTo5MOHD6dPnz75HlOqVCnt/ycmJtK7d28AVq9ejbX1w1sbHh4eREVFaRePgOyFJCIjI/HwkJosIYQQwhTUdbekY2lrtt9K1W4bFxBLbLojPX1tsDST+lvxbPRObps0acLevXsZP348kL0a2dy5czE3N0etVrNw4UI6dOhQoJO7urri6qrfEnwJCQn07t0bjUbD2rVrsbe319nfoEEDEhMTOXbsmLbu9tixYyQlJenU4QohhCj6Zp6OB2DSY6OAomj4uLaDTnJ7MzGLd/+NYeqJON6pYs9bfnY4WxWJbqXCBOmd3I4YMYJ9+/aRmpqKtbU1U6dOJSQkhBkzZgDQrFkzZs2aZZAgExISeOWVV0hISGDlypUkJyeTnJwMgLOzM5aWlvj5+dGuXTs++ugjfvjhBwA++ugjOnToYDI1IEIIIQrH7MDssjhJboumGq6W9Cprw983UnS2hyWr+fxkPN+cSaBfBVuGV7WjglPB7goLoXdy6+/vj7+/v/axSqViw4YNxMbGYmZmhoODg0ECBAgMDOT48eMA1K1bV2ff5s2bad68OQCLFi1i/Pjx9OrVC4BOnTrx1VdfGSwuIYQQxjGhluH+5ojnY24zZ5QKWHs9Bc1j+5IzNSy+nMTiy0l0KG3NiKr2tPC2lJZhQi8FWsQhNyqVqhDCyF/z5s31WmlMpVLxyy+/GDweIYQQxiUjtkWfjbmCX1u6MLFWJgsvJbIyOJnkzMfTXNhxK5Udt1Kp5mLBiKp29Cpni5XU5Yp86F3Q8v333+dbU9uxY0d++umnQglKCCGEEC+G8k7mfN1IxcU+Xkyr50hJW7NcjzsfncGI/2KpsSacrwPjiUrNes6RiqJC7+R2zZo11K9fP8/9DRo0YNWqVYUSlBBCCJGfwMh0AiPTn3ygKDJUVko+rO5AYG9PFrV0prZb7rW291LUTD+dgP9f4Xx4KIbLsRnPOVJh6vRObkNCQvKdmFW+fHlCQ0MLJSghhBAiP602R9Bqc4SxwxAGYKFU8Go5W/Z2dWdbZze6lbFGmUsVQmoWLL+STKP193l1ZyR776SiyVnVIF5AetfcWllZafvc5iYsLAylUtp2CCGEMLyarjKDvrhTKBQ09rSisacVIQmZ/Hwxkd+vJJOYS13u7jtp7L6TRjlbayabJ9OzrI1MPnuB6Z2NNmjQgBUrVhAXF5djX2xsLCtWrJB+skIIIZ6LA909ONBdFuh5Ufg6mDOzoYoLfb34sr4jpe1zr8u9nqxk8IEYOmyN5Nh9WfXsRaX3yO3EiRPp1KkTTZs2Zfjw4VSpUgWAixcvsnDhQiIiIli2bJmh4hRCCCHEC87JUsl71RwYVtWeLaGpzL+QyLGInLXXxyLSab81klfK2vBZXUd8HZ65OZQoQvT+165duzarV6/mww8/ZPLkyTpL3Pr6+rJ69Wrq1atnsECFEEIIIQDMlQp6lLWhR1kbjt9PZ/6FRDaFppD1WMXCuhspbAlNYXhVe0bXdMDJUsonXwQF+ijTsmVLTp8+zZkzZ7hx4wYAZcuWpWbNmlLbIoQQ4rmpvCoMgMuveRs5EmFs9T0sWerhwtW4DMbuv8v+aN3UJl0Nc84nsiI4mUm1HXjTzw7z3GaoiWKjwOP0CoWCWrVqUatWLQOEI4QQQjxZeIra2CEIE1PByYKvq6YTbu/F5ONxnInSbREWlaZmbEAcv1xK4ov6TrQvZSUDc8XUU4/PR0VFUbNmTY4dO1aY8QghhBBPdKmvF5f6ehk7DGGCmntbsa+bOwuaO1PCNmeacyUuk767o+ixI4pz0dIjtzh66uQ2KyuLmzdvkpKSUpjxCCGEEE/kbWuGdx4rWQmhVCjoV8GWE708+bi2A3bmOUdoD4Sl0WLjfd77L4bwZFntrDiRymohhBBCFEu25krG13LkZC9PBlS05fEUVwOsCE6m7t/3mB0YT1KGlLsUB5LcCiGEKHI+PBTDh4dijB2GKCK8bM34qZkz/77sQUtvqxz7kzI1zDydQP119/gjOAm1LHVWpOmV3KakpDBy5Eg2btyo3WZnZ8eECRPw9fU1VGxCCCFErpZfSWb5lWRjhyGKmOouFmzo4Mrqdq5Ucso5p/5uspoR/8XSenMEB8NMbxGIoNgMjt5LI0styXd+9OqWYGNjw4YNG3RWILOzs2PixIkGC0wIIYTIyw9NVMYOQRRRCoWCDqWtaVPSiuVBScw8nUBUmm45wpmoDLptj6SFtxUj/O1oX8oapZE6K2SpNWy9mcq8C4kcvZ+9YEWn0tasbOtitJhMXYEWcTh37pwhYxFCCCH08qafnbFDEEWchVLBkCr2vFrOlu/OJrDwYiLpj5Xc/huWxr9haZR3NGNYVXv6VbDF3uL5VHQmZahZGZzMgouJ3EjQnfC27VYqf19PoXd52+cSS1Gj97/QzJkz2bRpE7/++ivp6TmXuhNCCCGEKGpUVko+r+/EsVc86elrk+sx1+KzGBcQR9W/wvn0eBy3EjMNFk94chZfnIzD/69wxh+Ny5HYPjDtZDwpmVKekBu9R26HDBkCwIQJE/jkk0/w8vLCxkb3TaBQKAgICCjcCIUQQojHbLuZ3Yayk0/uyYgQBeXrYM7S1i4Mu5fGtJPxHL6XcyAvPl3DT+cTmX8hkW5lbBjhb0cDj5wT1J7GhegM5l1IZM31ZPRp2nA7KYv5FxIZU9OhUM5fnOid3Lq5ueHu7k7FihUNGY8QQgjxRP32RAMQ+1ZJI0ciipuGnlb809mdwMh05l9MZP2NlBzJZpYGNoSksCEkhXruFgyvak93XxssCrisr0ajYd/dNOaeT2Tv3bwnsFkooXc5W7I0GlZfe7i+wPdnE3ijoi2e0vNZh97J7datWw0ZhxBCCKG3DqWtjR2CKOZquVnySwsXptXLYvHlJJZcTiI6LeeQ6omIDN4+EEPJ4/G8U8WOQX52OFvlX/WZnqVh7fVk5l5I5GJM3iUOKksFb1e2450q9njZmhGbpmbX7TRtHImZGmacjmdOU+dn+2aLGb2TWyGEEMJUrG7nauwQxAvC29aMyXUcGVPDgTXXk1lwIZFLsTkT0jvJWUw9Gc9XZxLoV8GWd6vYUUlloXNMTJqapUFJ/HIxkfCUvGsPyjqYMcLfnv4VbLF7ZAKbykrJhFoOTDgap932e3AyQ6vY4+9ikdtLvZAKNOUvOjqaL7/8kg4dOlCnTh2OHTum3T579myCgoIMEqQQQgghhDHZmCsYWMmOwz08WN/elfalcq+1Tc7UsPhyEg3W36f3zkj23UnlRnwm4wJi8f8rnM9PxueZ2DbysOT3Ni6ceMWTd6rY6yS2DwyubEcFx4djk2oNTD4eh0YWntDSe+Q2NDSUTp06ER0dTdWqVQkJCSElJbvuw8XFhXXr1hEZGcnXX39tsGCFEEIIIYxJoVDQuqQ1rUtacyU2g58vJfFHcDIpWTmTy1130th1J//FIJQK6F7Ghveq2VPP3fKJ57dQKviivqO27hxg3900dt9J46VSUq4DBRi5nTJlChqNhoCAANasWZPjE0Lnzp05cOBAoQcohBBCPE619A6qpXeMHYZ4wVVSWfBtYxUX+3oxta4jJWz1vyFuZ67g3Sp2nOrlybLWLnoltg90LG1Ni8eWEZ58LI5MWbkMKEByu3//ft555x18fX1R5LIiRpkyZbh7926hBieEEEIIYeqcrZSMquHAmd5eLG7pTF23vOtfvW2VTK3ryIU+XsxupMLXoeDTnxQKBV/Wd+TRbCwoLpPlV5KeIvriR+8rmpaWhkqlynN/XFwcSuXzWbVDCCHEi01agAlTZKFU0KucLb3K2XLsfhoLLiSxKTSFLA1Uc7HgPX97Xilrg6XZsy+bW8PVkv4VbVkZnKzdNuNUAq+Ws8XJ8sXOx/T+7qtUqcKhQ4fy3L9161Zq1KhRKEEJIYQQQhRlDTysWNraheDXvDjVy5OD3d15rYJtoSS2D0yu44it+cPXi0pT8/3ZhEJ7/aJK7+R2+PDhrF+/nm+++YaYmBgA1Go1V65cYciQIZw4cYKRI0caLFAhhBBCiKLGxdqMco7muZZ0PitvWzM+rG6vs23+hURCEgy3PHBRoHdZQu/evbl9+zYzZsxgxowZAPTq1QsApVLJtGnT6NSpk2GiFEIIIR7Rd3cUIP1uhXjP357lQUncTc5uL5auhs9PxrOklYuRIzOeAlUxf/TRR/Tu3ZtNmzZx/fp11Go1ZcuWpVu3bvj6+hooRCGEEELXjlupxg5BCJNgZ6Hk07pODD8Yo9227kYKw6qm0cAj9168xV2Bp+iVKlWKESNGGCIWIYQQQi9/tn1xR6WEeFzf8jYsvJjImagM7bZPjsWxs4u7QcohTF2Bk9vr16+zc+dObt68CWS3AHvppZcoV65coQcnhBBC5KaTj42xQxDCZCgVCqY3cKLrtkjttuMRGay/kcIr5WyNGJlx6D2hLCsri7Fjx1K/fn0mTZrEggULWLBgARMnTqR+/fqMGTOGrKwsgwQZExPDuHHjqF+/Pl5eXvj7+zN69Giio6N1jqtevToqlUrna+rUqQaJSQghhBDCVDTzsqKLj+4KZVNOxpOaadiFHbbfSiEq1TD539PSO7n98ssvWbx4Mb1792bfvn3cvHmTmzdvsm/fPnr37s3SpUv58ssvDRJkWFgYYWFhTJs2jcOHD/Pzzz9z+PBh3n777RzHjh8/nqCgIO3X2LFjDRKTEEII41kWlMSyIGlYL8SjPq/nxCOdwbiVmMXCi4kGOZdao2HW6Xhe2x3NoH3RZKoNcpqnondZwsqVK+nRowcLFy7U2V6rVi0WLlxISkoKK1euZMqUKYUeZNWqVVmxYoX2cbly5fj888/p27cv8fHxODo6avc5ODjg6elZ6DEIIYQwHaMOxwLwpp+dcQMRwoSUdzLnnSp2LLj48IPft2cTeL2iLe42ZoV2nsQMNSMOxrApNHti53/h6XynsOBXv0I7xTPRO7lNTk6mWbNmee5v0aIFe/bsKZSg9JGQkICVlRW2trq1JD/99BPfffcdJUuWpEePHnzwwQdYWua9XnNwcLChQzXq+cRDcu2NQ6678RTna9/DM/v3uql+j6Ya14vgRb/2vRxgpbkN8ZnZQ7gJGRom7r/FxAoZT3imfu6mKhh70YrgZN2b/+vCzel95iplbQ1bBvFAxYoV89ynd3LbpEkTAgICci0FAAgICKBJkyYFj+4pxMbGMn36dAYOHIi5+cNv4d1336VGjRq4uLhw6tQppk6dSmhoKD/99FOer5XfxSlswcHBz/V84iG59sYh1914ivu1X2bC31pxv/amTK59tomaRD4+Fqd9vP6eBWMblaSKs8Uzve5/4WkMPh5NVJpuDYKLlZIZlZJpX7PCM73+/9q7+6io6vwP4O8ReQqU4VEIZlAUMIXEDNQUrXBDNE3FB1gTpXUhpPSwKKJRueluomikq7muD22CaT/ShHXDU0qKLjZmkK4aGqCJhSAyCIM8CPP7g/XWxNNFZ5gB369z5hzm3u/c+dzP+QKf+c733q+2iJ5zu2HDBpw7dw6xsbHIz89HQ0MDGhoakJ+fjz/96U84f/48Nm7c2Kk3X7NmTYsLwH77yM7O1nhNdXU1QkND4eTkhHfeeUdj32uvvYZx48bBy8sLYWFh2LBhA/bs2dPiwjMiIiKinmrhYAu49fllGkKTGnjrTGU7r+jYru9VmJZ5q0VhO9S6N7Km2GOEleFMuhU9cuvr6wu1Wo3Lly9j9+7dwn3T1Orm4efevXvD19dX4zUSiQQ//fRTm8eMiorC7Nmz231fFxcX4efq6mrMmjULALB//36YmZm19TIAwIgRIwA0377Mxob3RCQi6il+rmm+OtvpMe3NIyTqKUyMJHjH1wovH/tlcO+LG3U4eqMWAc7t106/1dCkRvzXldj5fcsLOKe6mmGrvzUsjXvhSslDh601oovb6dOna/1GwLa2trC1Fbd0YlVVFWbNmgW1Wo20tDRYWlp2+Jrz588DAC8wIyLqYZ7Y3/yfVBnurOdIiAzTZLkZxjia4FRJvbAtQVGJ8S+ZoncvcfXcrdpGzM+6rXGM++J9+iDOpw96GeAiEaKL2w8++ECXcbSrqqoKM2bMQFVVFVJTU1FTU4OamhoAgLW1NUxMTKBQKHDmzBn4+/ujb9++yM3NxcqVKxEUFASZTKa32ImISPsczUXPqiN6JEkkEvzF1wrPZZTh/iVel5T3kHKlRtRdRv57uwGhR8txvVrzHrYWvSX4wN8aU/sb7kIqnV6hTB/y8vJw5swZAL9MNbgvIyMD/v7+MDExwcGDB5GYmIj6+nrIZDKEhYVhyZIl+giZiIh06PsQJ32HQGTwfOxMMGegOfYV3BW2/eXbO5gxwBx9Tdr+gJh+9S6isiug+s0CEHJLI+wNsIWXzcNdmKZr3aK49ff3h1KpbLeNj48Pvvzyy64JiIiIiKgbeHOEFQ5drcXdxuZCtay2Ccnnq/DWCKsWbZvUaiTmVSExr6rFvjGOJvjoORvYmhn+PHd+r0NERETUQzlbGOF1b83rlLZcqMaP1fc0tlU3NGF+1u1WC9uFgy3wWaBdtyhsARa3RETUDY1PL8X49FJ9h0HULSz2stSYp17XCKw+e0d4fq3qHgIPlyHjfyuO3ddbAiQ/I0XSaCmMRV6EZghY3BIRUbfzXXkDvivXzopLRD2dpXEvJIzoq7Ht/wrv4puyepwsqcPzGWW4UKE5kmtr2guHJtp1yyWuu8WcWyIiol/7aoq9vkMg6lZCBz6GbRdV+O/tXz4UvvLVbfykasRvrhuDl40x9gbYQG7ZPcvEB4q6uroaSqVSWMDh13jbLSIi0jUfOxN9h0DUrRj1kuAvvn3x0pFyYduPv7nNFwC81N8MW8daw8K4+365L7q4ra2tRWJiYofL2XKpWyIiIiLDM/5xM0yUmSHzem2r+1cO74Nlw/pofdGuria6uI2NjcXHH3+MyZMnY/To0ZBKpToMi4iIqG3v5jZfDLNieN8OWhLRr6327Ysvi2s1piJY9JZg2zhrTHE13IUZOkN0cZuRkYGwsDAkJyfrMBwiIqKO3b9dEYtbos5xtzJG7LA+wu+Q6/8WZhhq4AszdIbo4lYikWDYsGG6jIWIiEiU5T599B0CUbcV79MHfg4muFXbhBflZt16fm1rRBe3kyZNwldffYXw8HBdxkNERNQhjtgSPTiJRIIAZzN9h6Ezokv12NhYFBUVYfHixfjmm29QUlKCsrKyFg8iIiIiIn0RPXLr6+sLADh//jxSUlLabMe7JRARka7l3aoHwFuCEVFLoovbuLi4bn9rCCIi6hmezWj+plAZ7qznSIjI0IgublesWKHLOIiIiEQbZttzruwmIu3qnuuqERHRI+34VAd9h0BEBqrN4vbjjz8GAISEhEAikQjPOxIaGqqdyIiIiIiIOqnN4nbRokWQSCQIDg6GiYkJFi1a1OHBJBIJi1siIiIi0ps2i9vvvvsOAGBiYqLxnIiISN8G7/sZAPB9iJOeIyEiQ9NmcSuXy9t9TkREpC8ld5v0HQIRGSheUEZERN3OpTmO+g6BiAwUi1siIup2nB4z0ncIRGSgRC+/S0RERERk6FjcEhFRt7PkVAWWnKrQdxhEZIBY3BIRUbfzz8s1+OflGn2HQUQGiHNuiYio20l+RqrvEIjIQHWquFUqldiyZQuOHDmCH3/8EUDzLcICAwMRHR0NqVSqixiJiIg0LPC00HcIRGSgRE9LKCwsxNixY5GUlIR79+7B398f/v7+uHfvHpKSkjBmzBgUFBToMlYiIiIionaJHrldtmwZ7ty5g0OHDmHcuHEa+44fP4558+Zh+fLlSEtL03qQREREv/b5j3cBAEFycz1HQkSGRvTIbU5ODl599dUWhS0AjB8/HpGRkfjPf/6j1eCIiIhaE3r0NkKP3tZ3GERkgESP3FpZWbU7p1YqlcLKykobMREREbUrUGam7xCIyECJHrmdN28eUlJSUFVV1WJfZWUlUlJSEBYWptXgiIiIWrN/gi32T7DVdxhEZIBEj9y6u7tDIpHg6aefRmhoKNzc3AAABQUF2LdvH+zt7eHu7o6DBw9qvG769OnajZiIiIiIqA2ii9uIiAjh5/fff7/F/tLSUkRERECtVgvbJBKJ1orbxYsX48SJEygpKYGFhQX8/PywatUqeHp6Cm2USiXi4uKQmZkJAJg4cSLWrVvHW5QRERERPSJEF7cZGRm6jKNDw4cPR0hICJydnVFRUYG1a9di2rRpOHfuHIyNjQEACxcuRHFxsXDHhsWLFyMyMhL79+/XZ+hERKRl0t03AADKcGc9R0JEhkZ0cTt27FhdxtGh8PBw4WdXV1ckJCRg7NixuHr1Ktzd3ZGfn48vv/wSmZmZ8PPzAwC89957CAoKwpUrV+Du7q6v0ImIiIioi0iUSqW642aGRaVSYc2aNcjIyMDZs2dhamqKPXv2YMWKFbh+/TokEgkAQK1Ww8XFBYmJiXj55ZdbPdaVK1e6MnQiIiIiekjtDVp2avnd0tJS7NmzB3l5ebhz5w6ampo09kskEqSnpz9YlCLs2LEDb7/9NlQqFdzd3ZGeng5TU1MhNltbW6GwvR+PnZ0dSktL2zxmV47ocgRZf5h7/WDe9Ye51x/mXn+Ye/0xpNyLvhXYxYsXMWrUKKxfvx5FRUXIzs5GeXk5CgoKcPLkSdy4cUPjYjIx1qxZA6lU2u4jOztbaD9r1iycOHEChw8fxsCBAzF//nzU1NR06j2JiIiIqOcSPXL75z//GWZmZsjKyoKlpSUGDRqEd999F+PHj0daWhri4uKwa9euTr15VFQUZs+e3W4bFxcX4WcrKytYWVlh4MCB8PX1Rf/+/ZGeno6QkBA4ODigvLwcarVaY1rCrVu34ODg0Km4iIiIiKh7El3cnj59GtHR0XB1dUVFRQUACCO1M2fOxOnTp/Hmm2926q4Ktra2sLV9sJtwq9VqqNVq1NfXAwD8/PxQXV0NhUKBkSNHAgAUCgVUKpXwnIiIiIh6NtHTEhoaGuDo6AgAMDNrXvawsrJS2O/t7Y3c3Fwth9essLAQycnJyMvLw/Xr1/H1119j/vz5MDExQWBgIADA09MTEyZMQExMDBQKBRQKBWJiYhAYGGgwc0CIiIiISLdEF7cymQzFxcUAAHNzczg6OkKhUAj7L168CAsLC+1HCMDExAQnT57EzJkz8dRTT+GVV15Bnz598MUXX6Bfv35Cux07dsDLywvBwcEIDg6Gl5cX/v73v+skJiIiIiIyPKKnJfj7++Pw4cNYuXIlgOaLu7Zu3SrcNWH//v2YN2+eToJ0cXERFmZoj1Qqxfbt23USAxEREREZPtHF7ZIlS+Dv74+6ujqYmprijTfegFKpxKFDh2BkZIQ5c+Zg9erVuoyViIiIiKhdootbmUwGmUwmPDc1NcWmTZuwadMmnQRGRERERNRZoufcEhEREREZug5Hbo8ePQoLCwuMGjUKQPPSt3FxcS3ayWQyxMfHaz9CIiIiIiKR2i1us7OzMWvWLHz00UfCtrq6OuzduxdmZmYwMjISttfU1GDMmDHw9/fXXbRERERERO1od1pCamoqhgwZghdffLHFvn379qG4uFh4DB48GKmpqToLlIiIiIioI+0Wt6dPn0ZQUJCoA02ZMgVff/21VoIiIiIiInoQ7Ra3JSUlcHV11dhmYmKCGTNmaCyeAADOzs4oKSnRfoQ9CFdK0x/mXj+Yd/1h7vWHudcf5l5/DCn37c65NTY2Rl1dncY2S0tL7Ny5s0XbhoYGjTm4RERERERdrd2RW7lcjrNnz4o60NmzZyGXy7USFBERERHRg2i3uA0MDMTBgwdRUFDQ7kGuXLmCAwcOYOLEiVoNjoiIiIioM9otbqOjo2FpaYkXX3wRhw4dQmNjo8b+xsZGHDhwAFOnTkWfPn0QHR2t02CJiIiIiNojUSqV6vYa5ObmYu7cuSgpKYG5uTkGDRoECwsLVFdXo6CgAHfv3kW/fv2QmpqKp556qqviJiIiIiJqocPiFgAqKyuxa9cuHDlyBPn5+aiqqoKlpSU8PT0xceJEhIeHQyqVdkG4RERERERta3dawn1WVlaIiYlBZmYmioqKcOvWLVy9ehVHjhxBTEzMI1HYnjp1CiEhIXjiiScglUpbLFhRWlqKqKgoDB48GE5OTggODtaYq3zt2jVIpdJWH5s2bRLa1dXVYdmyZXBzc8Pjjz+OkJAQ3Lhxo8vO0xB1Ve4nT57cYv8rr7zSZedpiB429wBw8+ZNREREwMPDA05OThgzZgw++eQTjTZKpRIRERGQy+WQy+WIiIiAUqnU9ekZtK7Kvbe3d4t+v2rVKl2fnkHTRu6Lioowd+5cDBw4EDKZDAsWLEBpaalGG/b7lroq9+z3LW3cuBHPPfccZDIZBg4ciDlz5uDixYsabdRqNd59910MHjwYjo6OmDx5Mi5duqTRRky/vnDhAiZNmgRHR0c88cQTSExMhFrd4ViraKKKWwJUKhWGDBmCtWvXwtzcXGOfWq3G3LlzUVhYiNTUVJw4cQIymQwvvfQSVCoVAMDFxQX5+fkajw0bNkAikWDq1KnCsVasWIGMjAzs3LkT//73v1FVVYU5c+a0mO/8KOmq3APA3LlzNdq99957XXaehuhhcw8Ar776Ki5fvoy9e/ciJycHISEhiIyMxKlTp4Q2CxcuxLlz55CWloa0tDScO3cOkZGRXXaehqircg8AcXFxGv1+6dKlXXKOhuphc69SqTB9+nSo1Wqkp6cjMzMT9fX1CAkJQVNTk3As9vuWuir3APv9b508eRJ/+MMfcOTIEaSnp6N3796YNm0aKioqhDbvv/8+tmzZgsTERBw7dgz29vaYPn06qqqqhDYd9es7d+5g+vTpcHBwwLFjx7B27Vps3rwZf/vb37R2LqKmJZAmZ2dnrFu3DnPnzgUA/PDDD3j66aeRnZ0Nb29vAEBTUxM8PDzw1ltvISwsrNXjTJs2DRKJBAcPHgTQPP1j0KBB2LJlC2bPng0AKC4uhre3N9LS0hAQENAFZ2fYdJV7oHnkdsiQIVi/fr3uT6QbetDcOzs7IzExES+//LJwLC8vL0RGRuL1119Hfn4+Ro4ciczMTIwaNQoAkJOTg6CgIJw5c8agbgyuL7rKPdA8ghURESE8J00Pkvtjx44hODgYRUVFwjeblZWV6N+/Pw4ePIhnn32W/V4EXeUeYL8Xo7q6GnK5HKmpqQgKCoJarcbgwYPxxz/+UfggcPfuXbi7u2P16tUIDw8X1a937tyJVatW4fLly8IHmPXr12PXrl24ePEiJBLJQ8fOkVstuL/QhZmZmbCtV69eMDU1RU5OTquvuXr1Ko4fP44FCxYI2/Ly8tDQ0IDnn39e2Obi4gJPT08ubdwGbeX+vk8//RRubm4YNWoUEhISND6NkiaxuR81ahQ+++wz3L59G01NTTh8+DDKy8sxfvx4AIBCoYClpSVGjhyp8RoLCwv2+zZoK/f3bd68GQMGDMDYsWORlJSE+vr6rjmRbkhM7uvq6iCRSGBqaiq0MTMzQ69evYQ27Pedp63c38d+377q6mo0NTUJHxKuXbuGmzdvatQo5ubmeOaZZ4Q+K6ZfKxQKjB49WmNkPiAgAD///DOuXbumldhZ3GqBh4cHXFxc8M4776CiogL19fVITk7GjRs3cPPmzVZf89FHH8HOzg6TJk0StpWWlsLIyAi2trYabe3t7VvMF6Jm2so9AMyaNQv/+Mc/kJGRgWXLliE9Pb3NkV8Sn/vdu3dDIpHAzc0NDg4OiIiIwI4dO/Dkk08CaO73tra2Gp/WJRIJ7Ozs2O/boK3cA0BkZCR27NiBjIwMREREYOvWrYiNjdXHaXULYnLv6+sLS0tLvPXWW1CpVFCpVEhISEBjY6PQhv2+87SVe4D9Xoz4+Hh4e3vDz88PAIT82dvba7T7dY0ipl+Xlpa2eoz7+7SBxa0WGBsbIyUlBUVFRRgwYACcnJyQnZ2N3/3ud+jVq2WK7927h9TUVISGhsLY2FgPEfcc2sz9ggULEBAQgKFDhyI4OBi7d+9GVlYW8vLyuuhsuhexuV+zZg3Ky8tx6NAhZGVl4fXXX0dUVBTOnz+vx+i7N23m/rXXXsO4cePg5eWFsLAwbNiwAXv27MHt27f1cWoGT0zu7ezs8OGHH+KLL76Ai4sL5HI5KisrMWzYsFb/LpE42sw9+337Vq5cidOnT2PPnj0wMjLSdzid1lvfAfQUPj4+OHnyJCorK9HQ0AA7OzsEBARg+PDhLdp+/vnnuHnzZotRQQcHBzQ2NqK8vBx2dnbC9rKyMowePVrn59BdaSP3rRk+fDiMjIxQWFgIHx8fHUTe/XWU+6KiImzfvl1jjpy3tzdycnKwfft2bN68GQ4ODigvL4darRY+7avVaty6dQsODg56OzdDp43ct2bEiBEAgMLCQtjY2HTNyXQzYv7mPP/888jLy0N5eTmMjIwglUrh4eGB/v37AwD7/QPSRu5bw37/ixUrVuDAgQPIyMjQyFm/fv0ANNckMplM2F5WVib0WTH92sHBAWVlZRrvef+5tvo+P0JqmZWVFezs7FBQUIDc3NwWX30DzV+LjxkzBoMGDdLY7uPjA2NjY2RlZQnbbty4IUzQpvY9TO5bc+HCBTQ2Ngq/0NS2tnJfU1MDAC0++RsZGQlXLvv5+aG6uhoKhULYr1AooFKp2O9FeJjct+b+qC77fcfE/M2xtbWFVCrF8ePHUVZWhqCgIADs9w/rYXLfGvb7ZsuXL8enn36K9PR0eHh4aOxzdXVFv379NGqU2tpa5OTkCH1WTL/28/NDTk4OamtrhTZZWVlwcnKCq6urVs6DI7ciVVdXo7CwEEDz1ZnFxcU4d+4crK2tIZPJ8Nlnn8HGxgZyuRwXLlxAfHw8Jk+erDHxGgCuX7+Oo0ePYtu2bS3ew8rKCvPmzcPbb78Ne3t7WFtb44033sDQoUOFKzwfRV2R+6KiInzyySd44YUXYGNjg/z8fCQkJODJJ58Urvh8FD1s7j08PODm5obY2FisWbMGNjY2+Ne//oWsrCzs3bsXAODp6YkJEyYgJiYGycnJAICYmBgEBgY+0leMd0XuFQoFzpw5A39/f/Tt2xe5ublYuXIlgoKCNEZmHjXa+JuTkpICDw8P2NvbQ6FQID4+HosWLRL6NPt967oi9+z3rVu6dCn279+PlJQUSKVSYY6thYUFLC0tIZFIEBUVhY0bN8Ld3R2DBg1CUlISLCwsMHPmTADi+vXMmTORmJiIRYsWYenSpfjhhx+QnJyMuLg4rdwpAeCtwETLzs7GlClTWmwPDQ3FBx98gG3btmHz5s0oLS1Fv379EBISgri4OJiYmGi0/+tf/4rt27fj+++/17ji8766ujokJCQgLS0NtbW1GDduHDZs2AAXFxednZuh64rcFxcXIyIiApcuXYJKpYKzszNeeOEFxMfHw9raWqfnZ8i0kfuCggKsWrUKp0+fhkqlwoABAxAdHY3f//73QhulUom4uDh8/vnnAICgoCCsW7fukVggpi1dkfu8vDwsXboUly9fRn19PWQyGWbMmIElS5bgscce67JzNTTayP2qVauwd+9eVFRUQC6XIzw8HNHR0Rr/vNnvW+qK3LPft66tfrd8+XKsWLECQPMUg7Vr1+LDDz+EUqnEiBEjkJSUhCFDhgjtxfTrCxcuYOnSpfj2228hlUoRHh6O5cuXs7glIiIiIvotzrklIiIioh6DxS0RERER9RgsbomIiIiox2BxS0REREQ9BotbIiIiIuoxWNwSERERUY/B4paIiIiIegwWt0RERETUY/w/F9+2OcMnCsMAAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.plot(cigar.query(\"california\")[\"year\"], cigar.query(\"california\")[\"cigsale\"] - calif_synth,\n",
" label=\"California Effect\")\n",
"plt.vlines(x=1988, ymin=-30, ymax=7, linestyle=\":\", lw=2, label=\"Proposition 99\")\n",
"plt.hlines(y=0, xmin=1970, xmax=2000, lw=2)\n",
"plt.title(\"State - Synthetic Across Time\")\n",
"plt.ylabel(\"Gap in per-capita cigarette sales (in packs)\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By the year 2000, it looks like Proposition 99 has reduced the sales in cigarettes by 25 packs. That is very cool and all, but something you might be asking yourself is: how can I know if this is statistically significant?\n",
"\n",
"## Making Inference\n",
"\n",
"Since our sample size is very small (39), we will have to be a bit smarter when figuring out if our result is statistically significant and not just due to random luck. Here, we will use the idea of Fisher's Exact Test. Its intuition is very simple. We permute the treated and control exhaustively. Since we only have one treated unit, this would mean that, for each unit, we pretend it is the treated while the others are the control. \n",
"\n",
"|iteration|1|2|...|39|\n",
"|----|-|-|-|-|\n",
"|1|treated|0|0|0|\n",
"|2|0|treated|0|0|\n",
"|...|0|0|0|0|0|0|\n",
"|39|0|0|0|treated|\n",
"\n",
"In the end, we will have one synthetic control and effect estimates for each state. So what this does is it pretends that the treatment actually happened for another state, not California, and see what would have been the estimated effect for this treatment that didn't happen. Then, we see if the treatment in California is sufficiently larger when compared to the other fake treatment. The idea is that for states that weren't actually treated, once we pretend they were, we won't be able to find any significant treatment effect. \n",
"\n",
"To implement this, I've built this function that takes as input a state and estimate the synthetic control for that state. This function returns a data frame with one column for the state, one for the year, one for the outcome `cigsale` and the synthetic outcome for that state."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"def synthetic_control(state: int, data: pd.DataFrame) -> np.array:\n",
" \n",
" features = [\"cigsale\", \"retprice\"]\n",
" \n",
" inverted = (data.query(\"~after_treatment\")\n",
" .pivot(index='state', columns=\"year\")[features]\n",
" .T)\n",
" \n",
" y = inverted[state].values # treated\n",
" X = inverted.drop(columns=state).values # donor pool\n",
"\n",
" weights = get_w(X, y)\n",
" synthetic = (data.query(f\"~(state=={state})\")\n",
" .pivot(index='year', columns=\"state\")[\"cigsale\"]\n",
" .values.dot(weights))\n",
"\n",
" return (data\n",
" .query(f\"state=={state}\")[[\"state\", \"year\", \"cigsale\", \"after_treatment\"]]\n",
" .assign(synthetic=synthetic))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is the result of it when we apply it to the first state."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
state
\n",
"
year
\n",
"
cigsale
\n",
"
after_treatment
\n",
"
synthetic
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
1
\n",
"
1970
\n",
"
89.800003
\n",
"
False
\n",
"
95.029419
\n",
"
\n",
"
\n",
"
1
\n",
"
1
\n",
"
1971
\n",
"
95.400002
\n",
"
False
\n",
"
99.118199
\n",
"
\n",
"
\n",
"
2
\n",
"
1
\n",
"
1972
\n",
"
101.099998
\n",
"
False
\n",
"
101.881329
\n",
"
\n",
"
\n",
"
3
\n",
"
1
\n",
"
1973
\n",
"
102.900002
\n",
"
False
\n",
"
103.938655
\n",
"
\n",
"
\n",
"
4
\n",
"
1
\n",
"
1974
\n",
"
108.199997
\n",
"
False
\n",
"
107.038474
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" state year cigsale after_treatment synthetic\n",
"0 1 1970 89.800003 False 95.029419\n",
"1 1 1971 95.400002 False 99.118199\n",
"2 1 1972 101.099998 False 101.881329\n",
"3 1 1973 102.900002 False 103.938655\n",
"4 1 1974 108.199997 False 107.038474"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"synthetic_control(1, cigar).head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To get the result for all the state, we parallelize the computation across 8 processes. If your computer has more or less cores, you can use a different number. This code will return a list of data frames like the one above."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"from joblib import Parallel, delayed\n",
"\n",
"control_pool = cigar[\"state\"].unique()\n",
"\n",
"parallel_fn = delayed(partial(synthetic_control, data=cigar))\n",
"\n",
"synthetic_states = Parallel(n_jobs=8)(parallel_fn(state) for state in control_pool)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
state
\n",
"
year
\n",
"
cigsale
\n",
"
after_treatment
\n",
"
synthetic
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
1
\n",
"
1970
\n",
"
89.800003
\n",
"
False
\n",
"
95.029419
\n",
"
\n",
"
\n",
"
1
\n",
"
1
\n",
"
1971
\n",
"
95.400002
\n",
"
False
\n",
"
99.118199
\n",
"
\n",
"
\n",
"
2
\n",
"
1
\n",
"
1972
\n",
"
101.099998
\n",
"
False
\n",
"
101.881329
\n",
"
\n",
"
\n",
"
3
\n",
"
1
\n",
"
1973
\n",
"
102.900002
\n",
"
False
\n",
"
103.938655
\n",
"
\n",
"
\n",
"
4
\n",
"
1
\n",
"
1974
\n",
"
108.199997
\n",
"
False
\n",
"
107.038474
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" state year cigsale after_treatment synthetic\n",
"0 1 1970 89.800003 False 95.029419\n",
"1 1 1971 95.400002 False 99.118199\n",
"2 1 1972 101.099998 False 101.881329\n",
"3 1 1973 102.900002 False 103.938655\n",
"4 1 1974 108.199997 False 107.038474"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"synthetic_states[0].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With the synthetic control for all the states, we can estimate the gap between the synthetic and the true state for all states. For California, this is the treatment effect. For the other states, this is like a placebo effect, where we estimate the synthetic control treatment effect where the treatment didn't actually happen. If we plot all the placebo effects along with the California treatment effect, we get the following figure."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"