{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"import numpy as np\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('fivethirtyeight')\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"def standard_units(x):\n",
" return (x - np.mean(x))/np.std(x)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"def distance(point1, point2):\n",
" \"\"\"The distance between two arrays of numbers.\"\"\"\n",
" return np.sqrt(np.sum((point1 - point2)**2))\n",
"\n",
"def all_distances(training, point):\n",
" \"\"\"The distance between p (an array of numbers) and the numbers in row i of attribute_table.\"\"\"\n",
" attributes = training.drop(columns='Class')\n",
" def distance_from_point(row):\n",
" return distance(point, np.array(row))\n",
" return attributes.apply(distance_from_point, axis=1)\n",
"\n",
"def table_with_distances(training, point):\n",
" \"\"\"A copy of the training table with the distance from each row to array p.\"\"\"\n",
" out = training.copy()\n",
" out['Distance'] = all_distances(training, point)\n",
" return out\n",
"\n",
"def closest(training, point, k):\n",
" \"\"\"A table containing the k closest rows in the training table to array p.\"\"\"\n",
" with_dists = table_with_distances(training, point)\n",
" sorted_by_distance = with_dists.sort_values('Distance')\n",
" topk = sorted_by_distance.iloc[:k]\n",
" return topk\n",
"\n",
"def majority(topkclasses):\n",
" \"\"\"1 if the majority of the class values are 1s, 0 otherwise.\"\"\"\n",
" ones = np.count_nonzero(topkclasses == 1)\n",
" zeros = np.count_nonzero(topkclasses == 0)\n",
" if ones > zeros:\n",
" return 1\n",
" else:\n",
" return 0\n",
"\n",
"def classify(training, p, k):\n",
" \"\"\"Classify an example with attributes p using k-nearest neighbor classification with the given training table.\"\"\"\n",
" closestk = closest(training, p, k)\n",
" return majority(closestk['Class'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nearest Neighbors ###\n",
"\n",
"In this section we'll develop the *nearest neighbor* method of classification. Just focus on the ideas for now and don't worry if some of the code is mysterious. Later in the chapter we'll see how to organize our ideas into code that performs the classification."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Chronic kidney disease\n",
"\n",
"Let's work through an example. We're going to work with a data set that was collected to help doctors diagnose chronic kidney disease (CKD). Each row in the data set represents a single patient who was treated in the past and whose diagnosis is known. For each patient, we have a bunch of measurements from a blood test. We'd like to find which measurements are most useful for diagnosing CKD, and develop a way to classify future patients as \"has CKD\" or \"doesn't have CKD\" based on their blood test results.\n",
"\n",
"If you are running on your laptop, you should download the\n",
"[ckd.csv]({{ site.baseurl }}/data/ckd.csv) file to the same\n",
"directory as this notebook."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Age
\n",
"
Blood Pressure
\n",
"
Specific Gravity
\n",
"
Albumin
\n",
"
Sugar
\n",
"
Red Blood Cells
\n",
"
Pus Cell
\n",
"
Pus Cell clumps
\n",
"
Bacteria
\n",
"
Blood Glucose Random
\n",
"
...
\n",
"
Packed Cell Volume
\n",
"
White Blood Cell Count
\n",
"
Red Blood Cell Count
\n",
"
Hypertension
\n",
"
Diabetes Mellitus
\n",
"
Coronary Artery Disease
\n",
"
Appetite
\n",
"
Pedal Edema
\n",
"
Anemia
\n",
"
Class
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
48
\n",
"
70
\n",
"
1.005
\n",
"
4
\n",
"
0
\n",
"
normal
\n",
"
abnormal
\n",
"
present
\n",
"
notpresent
\n",
"
117
\n",
"
...
\n",
"
32
\n",
"
6700
\n",
"
3.9
\n",
"
yes
\n",
"
no
\n",
"
no
\n",
"
poor
\n",
"
yes
\n",
"
yes
\n",
"
1
\n",
"
\n",
"
\n",
"
1
\n",
"
53
\n",
"
90
\n",
"
1.020
\n",
"
2
\n",
"
0
\n",
"
abnormal
\n",
"
abnormal
\n",
"
present
\n",
"
notpresent
\n",
"
70
\n",
"
...
\n",
"
29
\n",
"
12100
\n",
"
3.7
\n",
"
yes
\n",
"
yes
\n",
"
no
\n",
"
poor
\n",
"
no
\n",
"
yes
\n",
"
1
\n",
"
\n",
"
\n",
"
2
\n",
"
63
\n",
"
70
\n",
"
1.010
\n",
"
3
\n",
"
0
\n",
"
abnormal
\n",
"
abnormal
\n",
"
present
\n",
"
notpresent
\n",
"
380
\n",
"
...
\n",
"
32
\n",
"
4500
\n",
"
3.8
\n",
"
yes
\n",
"
yes
\n",
"
no
\n",
"
poor
\n",
"
yes
\n",
"
no
\n",
"
1
\n",
"
\n",
"
\n",
"
3
\n",
"
68
\n",
"
80
\n",
"
1.010
\n",
"
3
\n",
"
2
\n",
"
normal
\n",
"
abnormal
\n",
"
present
\n",
"
present
\n",
"
157
\n",
"
...
\n",
"
16
\n",
"
11000
\n",
"
2.6
\n",
"
yes
\n",
"
yes
\n",
"
yes
\n",
"
poor
\n",
"
yes
\n",
"
no
\n",
"
1
\n",
"
\n",
"
\n",
"
4
\n",
"
61
\n",
"
80
\n",
"
1.015
\n",
"
2
\n",
"
0
\n",
"
abnormal
\n",
"
abnormal
\n",
"
notpresent
\n",
"
notpresent
\n",
"
173
\n",
"
...
\n",
"
24
\n",
"
9200
\n",
"
3.2
\n",
"
yes
\n",
"
yes
\n",
"
yes
\n",
"
poor
\n",
"
yes
\n",
"
yes
\n",
"
1
\n",
"
\n",
" \n",
"
\n",
"
5 rows × 25 columns
\n",
"
"
],
"text/plain": [
" Age Blood Pressure Specific Gravity Albumin Sugar Red Blood Cells \\\n",
"0 48 70 1.005 4 0 normal \n",
"1 53 90 1.020 2 0 abnormal \n",
"2 63 70 1.010 3 0 abnormal \n",
"3 68 80 1.010 3 2 normal \n",
"4 61 80 1.015 2 0 abnormal \n",
"\n",
" Pus Cell Pus Cell clumps Bacteria Blood Glucose Random ... \\\n",
"0 abnormal present notpresent 117 ... \n",
"1 abnormal present notpresent 70 ... \n",
"2 abnormal present notpresent 380 ... \n",
"3 abnormal present present 157 ... \n",
"4 abnormal notpresent notpresent 173 ... \n",
"\n",
" Packed Cell Volume White Blood Cell Count Red Blood Cell Count \\\n",
"0 32 6700 3.9 \n",
"1 29 12100 3.7 \n",
"2 32 4500 3.8 \n",
"3 16 11000 2.6 \n",
"4 24 9200 3.2 \n",
"\n",
" Hypertension Diabetes Mellitus Coronary Artery Disease Appetite \\\n",
"0 yes no no poor \n",
"1 yes yes no poor \n",
"2 yes yes no poor \n",
"3 yes yes yes poor \n",
"4 yes yes yes poor \n",
"\n",
" Pedal Edema Anemia Class \n",
"0 yes yes 1 \n",
"1 no yes 1 \n",
"2 yes no 1 \n",
"3 yes no 1 \n",
"4 yes yes 1 \n",
"\n",
"[5 rows x 25 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ckd_full = pd.read_csv('ckd.csv')\n",
"ckd_full.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some of the variables are categorical (words like \"abnormal\"), and some quantitative. The quantitative variables all have different scales. We're going to want to make comparisons and estimate distances, often by eye, so let's select just a few of the variables and work in standard units. Then we won't have to worry about the scale of each of the different variables."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Hemoglobin
\n",
"
Glucose
\n",
"
WBC
\n",
"
Class
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
-0.865744
\n",
"
-0.221549
\n",
"
-0.569768
\n",
"
1
\n",
"
\n",
"
\n",
"
1
\n",
"
-1.457446
\n",
"
-0.947597
\n",
"
1.162684
\n",
"
1
\n",
"
\n",
"
\n",
"
2
\n",
"
-1.004968
\n",
"
3.841231
\n",
"
-1.275582
\n",
"
1
\n",
"
\n",
"
\n",
"
3
\n",
"
-2.814879
\n",
"
0.396364
\n",
"
0.809777
\n",
"
1
\n",
"
\n",
"
\n",
"
4
\n",
"
-2.083954
\n",
"
0.643529
\n",
"
0.232293
\n",
"
1
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Hemoglobin Glucose WBC Class\n",
"0 -0.865744 -0.221549 -0.569768 1\n",
"1 -1.457446 -0.947597 1.162684 1\n",
"2 -1.004968 3.841231 -1.275582 1\n",
"3 -2.814879 0.396364 0.809777 1\n",
"4 -2.083954 0.643529 0.232293 1"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ckd = pd.DataFrame()\n",
"ckd['Hemoglobin'] = standard_units(ckd_full['Hemoglobin'])\n",
"ckd['Glucose'] = standard_units(ckd_full['Blood Glucose Random'])\n",
"ckd['WBC'] = standard_units(ckd_full['White Blood Cell Count'])\n",
"ckd['Class'] = ckd_full['Class']\n",
"ckd.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's look at two columns in particular: the hemoglobin level (in the patient's blood), and the blood glucose level (at a random time in the day; without fasting specially for the blood test). \n",
"\n",
"We'll draw a scatter plot to visualize the relation between the two variables. Blue dots are patients with CKD; gold dots are patients without CKD. What kind of medical test results seem to indicate CKD?"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Hemoglobin
\n",
"
Glucose
\n",
"
WBC
\n",
"
Class
\n",
"
Color
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
-0.865744
\n",
"
-0.221549
\n",
"
-0.569768
\n",
"
1
\n",
"
darkblue
\n",
"
\n",
"
\n",
"
1
\n",
"
-1.457446
\n",
"
-0.947597
\n",
"
1.162684
\n",
"
1
\n",
"
darkblue
\n",
"
\n",
"
\n",
"
2
\n",
"
-1.004968
\n",
"
3.841231
\n",
"
-1.275582
\n",
"
1
\n",
"
darkblue
\n",
"
\n",
"
\n",
"
3
\n",
"
-2.814879
\n",
"
0.396364
\n",
"
0.809777
\n",
"
1
\n",
"
darkblue
\n",
"
\n",
"
\n",
"
4
\n",
"
-2.083954
\n",
"
0.643529
\n",
"
0.232293
\n",
"
1
\n",
"
darkblue
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Hemoglobin Glucose WBC Class Color\n",
"0 -0.865744 -0.221549 -0.569768 1 darkblue\n",
"1 -1.457446 -0.947597 1.162684 1 darkblue\n",
"2 -1.004968 3.841231 -1.275582 1 darkblue\n",
"3 -2.814879 0.396364 0.809777 1 darkblue\n",
"4 -2.083954 0.643529 0.232293 1 darkblue"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ckd['Color'] = 'darkblue'\n",
"ckd.loc[ckd['Class'] == 0, 'Color'] = 'gold'\n",
"ckd.head()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ckd.plot.scatter('Hemoglobin', 'Glucose', c=ckd['Color']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Suppose Alice is a new patient who is not in the data set. If I tell you Alice's hemoglobin level and blood glucose level, could you predict whether she has CKD? It sure looks like it! You can see a very clear pattern here: points in the lower-right tend to represent people who don't have CKD, and the rest tend to be folks with CKD. To a human, the pattern is obvious. But how can we program a computer to automatically detect patterns such as this one?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### A Nearest Neighbor Classifier ###\n",
"\n",
"There are lots of kinds of patterns one might look for, and lots of algorithms for classification. But I'm going to tell you about one that turns out to be surprisingly effective. It is called *nearest neighbor classification*. Here's the idea. If we have Alice's hemoglobin and glucose numbers, we can put her somewhere on this scatterplot; the hemoglobin is her x-coordinate, and the glucose is her y-coordinate. Now, to predict whether she has CKD or not, we find the nearest point in the scatterplot and check whether it is blue or gold; we predict that Alice should receive the same diagnosis as that patient.\n",
"\n",
"In other words, to classify Alice as CKD or not, we find the patient in the training set who is \"nearest\" to Alice, and then use that patient's diagnosis as our prediction for Alice. The intuition is that if two points are near each other in the scatterplot, then the corresponding measurements are pretty similar, so we might expect them to receive the same diagnosis (more likely than not). We don't know Alice's diagnosis, but we do know the diagnosis of all the patients in the training set, so we find the patient in the training set who is most similar to Alice, and use that patient's diagnosis to predict Alice's diagnosis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the graph below, the red dot represents Alice. It is joined with a black line to the point that is nearest to it – its *nearest neighbor* in the training set. The figure is drawn by a function called `show_closest`. It takes an array that represents the $x$ and $y$ coordinates of Alice's point. Vary those to see how the closest point changes! Note especially when the closest point is blue and when it is gold."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"def show_closest(point):\n",
" \"\"\"point = array([x,y])\n",
" gives the coordinates of a new point\n",
" shown in red\"\"\"\n",
" HemoGl = ckd[['Hemoglobin', 'Glucose', 'Class']]\n",
" t = closest(HemoGl, point, 1)\n",
" x_closest = float(t['Hemoglobin'])\n",
" y_closest = float(t['Glucose'])\n",
" ckd.plot.scatter('Hemoglobin', 'Glucose', c=ckd['Color'])\n",
" plt.scatter(point[0], point[1], color='red', s=30)\n",
" plt.plot([point[0], x_closest],\n",
" [point[1], y_closest],\n",
" color='k', lw=2);"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# In this example, Alice's Hemoglobin attribute is 0 and her Glucose is 1.5.\n",
"alice = np.array([0, 1.5])\n",
"show_closest(alice)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Thus our *nearest neighbor classifier* works like this:\n",
"- Find the point in the training set that is nearest to the new point.\n",
"- If that nearest point is a \"CKD\" point, classify the new point as \"CKD\". If the nearest point is a \"not CKD\" point, classify the new point as \"not CKD\".\n",
"\n",
"The scatterplot suggests that this nearest neighbor classifier should be pretty accurate. Points in the lower-right will tend to receive a \"no CKD\" diagnosis, as their nearest neighbor will be a gold point. The rest of the points will tend to receive a \"CKD\" diagnosis, as their nearest neighbor will be a blue point. So the nearest neighbor strategy seems to capture our intuition pretty well, for this example."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Decision boundary ###\n",
"\n",
"Sometimes a helpful way to visualize a classifier is to map out the kinds of attributes where the classifier would predict 'CKD', and the kinds where it would predict 'not CKD'. We end up with some boundary between the two, where points on one side of the boundary will be classified 'CKD' and points on the other side will be classified 'not CKD'. This boundary is called the *decision boundary*. Each different classifier will have a different decision boundary; the decision boundary is just a way to visualize what criteria the classifier is using to classify points.\n",
"\n",
"For example, suppose the coordinates of Alice's point are (0, 1.5). Notice that the nearest neighbor is blue. Now try reducing the height (the $y$-coordinate) of the point. You'll see that at around $y = 0.95$ the nearest neighbor turns from blue to gold."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"alice = np.array([0, 0.97])\n",
"show_closest(alice)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are hundreds of new unclassified points, all in red."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"\n",
"# Values for x and y coordinates\n",
"x_vals = np.arange(-2, 2.1, 0.1)\n",
"n_x = len(x_vals)\n",
"y_vals = np.arange(-2, 2.1, 0.1)\n",
"n_y = len(y_vals)\n",
"\n",
"# Make the vector of x and corresponding y coordinates to cover\n",
"# the whole 2D grid. For the expert way, see Numpy meshgrid.\n",
"\n",
"# Repeat each value of the x coordinate n_y times\n",
"x_coords = np.repeat(x_vals, n_y)\n",
"# Repeat the whole y_vals vector n_x times\n",
"y_coords = np.tile(y_vals, n_x)\n",
"\n",
"# Put these into a data frame for convenience\n",
"test_grid = pd.DataFrame()\n",
"test_grid['Hemoglobin'] = x_coords\n",
"test_grid['Glucose'] = y_coords"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# NO CODE\n",
"\n",
"test_grid.plot.scatter('Hemoglobin', 'Glucose',\n",
" color='red',\n",
" alpha=0.4, s=30)\n",
"\n",
"plt.scatter(ckd['Hemoglobin'], ckd['Glucose'],\n",
" c=ckd['Color'],\n",
" edgecolor='k')\n",
"\n",
"plt.xlim(-2, 2)\n",
"plt.ylim(-2, 2);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each of the red points has a nearest neighbor in the training set (the same blue and gold points as before). For some red points you can easily tell whether the nearest neighbor is blue or gold. For others, it's a little more tricky to make the decision by eye. Those are the points near the decision boundary.\n",
"\n",
"But the computer can easily determine the nearest neighbor of each point. So let's get it to apply our nearest neighbor classifier to each of the red points: \n",
"\n",
"For each red point, it must find the closest point in the training set; it must then change the color of the red point to become the color of the nearest neighbor. \n",
"\n",
"The resulting graph shows which points will get classified as 'CKD' (all the blue ones), and which as 'not CKD' (all the gold ones)."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"\n",
"def classify_grid(training, test, k):\n",
" n_test = len(test)\n",
" c = np.zeros(n_test)\n",
" for i in range(n_test):\n",
" # Run the classifier on the ith patient in the test set\n",
" c[i] = classify(training, np.array(test.iloc[i]), k)\n",
" return c"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# HIDDEN\n",
"\n",
"c = classify_grid(ckd[['Hemoglobin', 'Glucose', 'Class']],\n",
" test_grid,\n",
" 1)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbsAAAEKCAYAAACL//vOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsvXmQnMd55vl8R913V993N9ANoIHGSZwEwJsAKF4gTROUKIoSJXtGa6/3GsfEbnjD3gk7Yu3ZjZjZ2bUnRqQoUQdF0jAlSqIoAiRBkABJHN1ooM/q+6z7vus79o+s+qqyskBKlGdMIfqNQJBdnZ31q7fyy+PNJ9/kVFXFuq3buq3buq3brWz8vzTAuq3buq3buq3bf21bH+zWbd3Wbd3W7Za39cFu3dZt3dZt3W55Wx/s1m3d1m3d1u2Wt/XBbt3Wbd3Wbd1ueVsf7NZt3dZt3dbtlrcvxGDHcVwHx3Hvchw3xnHcKMdxf1ajDMdx3H/kOG6a47gRjuN2/0uwrtu6rdu6rdvvn4n/0gBFkwD8z6qqXuU4zgbgCsdxb6uqOlZR5gSAvuK//QD+vvjfdVu3dVu3dVu3T7UvxMpOVdU1VVWvFv8/AWAcQFtVsUcAfF8l9hEAJ8dxLf+NUddt3dZt3dbt99C+KCs7zTiO6wawC8DHVb9qA7BU8fNy8bW10guxWGw9Hcy6rdu6rdstbg6Hg/tt/+YLsbIrGcdxVgD/COB/UFU1/i/Ns27rtm7rtm63hn1hBjuO43QgA90PVVU9XaPICoCOip/bi6+t27qt27qt27p9qn0hwpgcx3EAngcwrqrq/32TYj8D8Cccx70MIkyJqaq6dpOyUFUVpNqyra0l8cIL4/D7M2hpseBb3xqA222iyiiKipdf9uDyZT/0eh4PPdSN229vZeofGQnilVc8SKUkbNrkwrPPbobRSLszlcrj+efHMTsbg8Ohx9NPb0Zfn5Op6+23F/HWW0uIRCJ44IHNeOyxDQz76iphDwYzaG214pvf3IK6OppdlhX86EceXL3qh8Eg4OGHe3DoELutOTwcwKuvTiOdljAw4MLXvrYFer1AlUkm8/jOd8YxPx+D02nAM89sRm+vg6nrV79axJkzi4hEYnjkkS146KEehn1pKYEXX5xAKJRBe7sVzz23FS6XgWH/4Q8nMTwchF4v4PHHe7F3bzPzfkNDfrzyygyyWQlbt9bha1/bDJ2OZo/H83jhhTHMz8fhchnxta9tRne3nanrl7+cx9mzS4jF4nj44drsi4txvPjiBMLhLDo6rPjmN7fC4aDZCwUZP/jBFEZGgjAYbs5+5Yofr71G2AcH6/HVr/bXZP/Od0axuJiAy2XEs89uRlcXy/7GG7N4771VxGIxPPbYVjzwQDdTZn4+ju99bwKRSBZdXXY899wA7HY9w/7970/gxo0wjEYRTzyxAbt3NzJ1XbrkxT/+4yzyeRk7dtTj6ac3QRDouXI0msN3vjOK5eUk3G4Tnn12Mzo6bFQZVVXxxhtzOHduFfF4DI8/PojjxzuZ95udjeH7359ANJpDd7cDzz23BTYbzZ7Py/je9yYwNkbYn3xyI3bubGDqunhxDT/96RxyORm7djXgK1/pZ9jD4Syef34MKytJ1Neb8LWv1WZ//fVZfPDBGuLxGJ54YhD338+yT09H8dJLE4jF8ujpceCb39wCi4Vlf/HFcYyPR2CxiPjDP+zD9u31TF0ffriKN96YRy4nY+/eJpw61Qeep9toKJTB88+PY2UlicZGE77xjS1oabEy7KdPz+DCBS/i8RhOndqOe+7pQLVNTkbwox9NIhbLY8MGB77xDZY9m5Xw4osTmJyMwGLR4dSpjdi2jWU/f34FP//5PAoFFXv3NuLJJ1n2YDCN73xnHGtrKTQ1mfD1r7PsiqLitdem8Yd/2Me8x29j3Bfh1gOO4w4DOA/gOgCl+PL/CqATAFRV/YfigPifABwHkAbwdVVVL1fWU7lnd+mSD3v3Nmm/kyQF3//+BGRZhU7HI5+XYTSKePrpTdQX8MEHqxgeDsJq1UFRVKRSEh59tIdq+JFIFj/60RSMRhGCwCGTkdDZacOXvtRNfa7Tp2fg86VhMomQZQX5vIJnntkMi0WnlZmcjOCttxZhs+ng9wdgsbhw4EAzbrut3OHk8zJeemkSilJmN5lEfOUrNPv7769gZCRUwV7Ao4/2UuzhMGE3m0XwPId0WkJvrx3Hj3dVlAnj6af/EktLcRgMKvbt24/t24/imWc2w2wuD+jj42GcObMMq1XE8vIi3n//TSSTabhcOjz++GE899yXtQ6J4wBR5JHLybBadfjyl/upgeXdd5cxNkYefEVRkUxK+IM/2IDWVotWJhjM4OWXPRp7KlVAX5+T6XBeecWDcDgLo1GEJCmQJBVf+9pmmExl9tHRMN55h7D7/QGYzS4cPdqKHTvKD20uRwaCSna7XY9Tp/oo9rNnlzA+HqH8/sQTG9HcXGb3+dJ45RUPLBadxr5pkwv33lvucFRVxU9+4kEslofBIECSFCiKimeeoSdSIyNBnDu3AptND5/PD7PZiTvvbMPgYJk9m5Xwve9NQBA4iCKPbFaC02nAqVP9lK/efnsRU1NRWCzl9n7q1EY0NJi1Ml5vCq++OgOLpeR3CVu2uHD33e0U+49+NIVksqCxqyrwzDObYTCUB/ShoQA++GANNpsOXq8PFksd7r67HVu31mllMhnCLopldrfbiCeeoDu7X/1qAbOzcZjNoub3L3+5n5rArqykcPp0mT2ZLGBw0I077ijr3xSFsKdSZXaAwzPPbKImgVeu+HHhwhpsNr3Gfv/9Hdi0yaWVSaclfO9749DreQgCj0xGQkODGX/wBxso9l/+ch7z8wmNPZ2W8JWv9MPlMmpllpYSeP31Wa3NJJMF7NhRjyNHypNvRVHxgx9MIpuVoNcLKBQU8DyHZ57ZDJ2uPKBfvuzHxYveCr+7cOxYF/r7y5PvZLKAl16aqGCX0dxswsmTNPsbb8xheTlZ7NdUZDISnn56E5zO8iRwYSGBn/2MZt+9u4GafJMJ7hTFLoocvvrVzRDFMvsnn3jx8cd+/Omfbtde+73ds1NV9QNVVTlVVberqrqz+O+Xqqr+g6qq/1Aso6qq+t+pqrpBVdXB6oGu2q5dC6JyIB8dDSOblbUGoNcLSCTy8HiiWhlJUnDjBhksAIDnOdhsOly86KXqvnDBC5OJDHQAYDKJmJuLI5ksaGWCwQxWVlJaBysIPHQ6Hp984qPqunzZD7tdr3WeVqsOw8M0+/XrIRQKNHsslsfsbHlbs1BQMDoarmLX4+OP6fe7cGFNGywAwGwWMTMTQypF2PP5PB566E9x4cIGLC3djunpw/inf5rCxYtv4tIllt1mI+/3k5/8F1y61Inx8X24cGEX/uIvruOv//r/wfBwEIqiao13aWkcf/u3/w6Dg1/H0aPfxH/4D88jn5e1GW6J3W6v7fdKdotFB48nhnRa0sqsribh9Wa0wUEUefA86ahqsZf8brPpcPUqXWZoyE+xGwwCgsEslpeTWplcTsbERJTyu9Wqw8WLtK8uXvTCatVR7JOTUWSzZfbl5SQCgYw2OJTe9+rVAFXX1asBapVjs+mZMleuBLRBGgCMRhGBAM2eyUiYnIxqky/CLuLCBdbvVmul30VMTESQy8lamcXFJMLhHMWuKCquXQtW+TSgtRmOI89X9Xdz6ZJfG6RL7F5vBl5vSiuTTkuYmYlpky+e52Cx6Bj2ixfJwFpit1p1GBsLI58vs8/PxxGN0uySJOPatRBV1/BwUPN7if3SJZr9k0+80Ol4beVoMolYXU3C709rZZLJAmZnaXazmfX7Rx/5YLPpKfbR0XBxMCY2PR1FIpHXBuXSZPjGjTK7qqo1/K5n2D/+uJpdwPJyEqFQRisTj+cxP5+o6Nduxu5l2K9fD0GWy+weTwzJZIFiz2ZljI2FtTKKohb9rsPval+Iwe6/huVyCmS5PGAEg1kYjXTIyGAQEApltZ/zeQWFArvSzWZl6udMRmKW47KsagMGQEI6VRExiCKPRCLP1MWyy1CUMkdlJ1IyvZ5HOJyl/qbyIbgZezotM+ySpGoDxssvv46JiQ0AyjP7TGYrrly5VoOd1D0xcRlebw+Acrgtne7FT386hEAgCb2eNLNIxIcf/vA0FhaOYnn5doyM7Mff/Z0Hf//3L1HfVZmd9k06zfpdkhTKh5FIHqJIlylNDmh21u/VvopE8ozfdToO4XCOqqfyAQZIZ1LNns1KTIhUlqvZc9RsvMQejX42e+m7KFk0mmNC04LAIRql2SvbWYm9uv5a7NV+D4Wy2vdcZqfb6M3Yq/0ej+cZP/A8KPZ0ugBJUqvKcNTEp1bdhF2lXq/FbjAIiETK7Iqi1qyr+ntOJArUqqTEVdn+fhf2QkGhXg+Hs8z3bDTS/Zosq9TEpGSZTIH6OZlk2QFUsbNt5jdnl5HPl5+Vm/k9GCyzS5JC/c3vYrfsYOd06qkvbssWJ7XyAsgXt3lzeRlvNouw2+kZhCQpaGoyU691dFiZxmM0CnC7yyGI9nYr00GkUgVm36uhwUR19Kqqoq7OSO0pbN7sRDJJN6ZcTkF/f7kui0WE1Vq9H6OguZlmb2+3MA+oySSiro6EIK5eHYMss/t8yaSK3l5676ihwQhFUbG4OA9JamL+JhYzoL1dp7GfOfMzRCIHAJT9kkxuwM9/flFb1dHsFuq1Wn43mQRq/6+nx84MnMlkARs3VvvdSD20iqJS3x8AbNrkRCJBt5lCQcGGDeW67HY9TCa6zeTzMlpaaL+3tFio1QRhF6n9v95eBwoF+sFOJArYtIne562vZ9nr62n2/n62vcuyip6e8nfodBqYfeZcTkZbG71nUovdbNbB4Si3t40bHUyZZFLCli111Gtut+kz2fv6HAy7qgKdnWV2l8tAhaVL7O3tNHtzs5nxqcUiUiuF/n4X064Iezk8yfMcXC4DxS7LKurr6X3z3l4HNektWUdHmcvtNjLs2ayEjg66vTc1mZgJrNWq06IIALBpk4uZQCQSBYpdFHm4XAYqWiTLKhobafaeHjszaPE8T7WH+nojDAZ62MhkZHR10X6vxW6z0d/Zpk1OZpKWTBYwMFBm1+sFOJ00++e1W3awO3Gii/q5tdWKHTvqEYnksLycRDSaw759TYzI49ixTuRyMlZWkvD5MjCbdbjzTvp8+223NaKpyYxAgIQqU6kC7r67nRpcjUYRd9zRikQiXwwFZNHdbaf2JgDgvvs6odPx8HrTCARykCQVx4/TG8cdHTYMDtZp7LFYHvv3N8LpLHcSHMdp7KurKfh8aVitOhw9Sotr9u9vQlOTGX4/Yc9kCrj33nZtcL3vvkMwmRYZfzY0iEzHdf/9neB5Dg0NfdDr52v8TR6Dg+0YGHAhHM4iEIgBMDHlMhkV99/fiUxG0tjtdj2OHKEH3f37m+B2mzT2dLqgMZTMbBZx5EgL5fe+Pie1N1Fi5ziu6Hcykzx2jN776+11YMsWF8Jh4vd4PI+DB1uozobnORw/3oFMRsLKCmF3Og2MqOn221vgchng86WLfpdw7BjNbrXqcPvtrYjHCXs4nMPmzU5qcC1xchzg9aYRDGbBccD999NtpvSZQ6Gsxn74cAu1X8zzpM2k04Td78/A7Tbh4EFaXHP4cCscDsK+uppCNivh2LEOajJnt+tx8GALxb5liwtdXbTI4/jxTqgqsLaWQjCYBc9zzJ5rf78TGzc6EAplsLycRCKRx5EjrdR+sSDwuPfedqTThaLfM6ivN2H/fnrSdfRoK+x2fQW7jGPHuih2h0OP/fubEIuV2LPYtq2OEaicONEJRVGxtpZCIJCDKPK47z7a7wMDLvT02DW/J5MFHD3aSk0qqtkDgQyamsyUxgAA7ryzDWazrthmksjlZEbM43IZsW9fE6LRcr+2Y0c9M2E5caILkqRidTWFYJBEEO69l65rcNCNzk6bFqpPJPK48842KrohijzuuacDqVQBy8vJotjPjD17aFHTXXe1w2TSFf1em72+3oQ9exo09kgkh127GphJ7vHjnTWjVr+t3bKDXXUIEQBEkYOqqpBlotQs7blVWuk1WVahKAoEgWPqKv2tqpKV36fXxUGWVaiqWrMMx5H6FEWFLCvgeTArQlIXXyxDZjg8z351pfpLwgbCztZFOli1KCLgqFXkiRP34sCBCHi+JHQtwGr9ACdPnqjBzoHngaamjWhpiUAQFoq/keB2X8Ef/dEJ8DwPUeShqkBPzxYIwnxVLQV0dVk1P0uSrH2WanayB1X21c38zvOkLvI9166L5wm7LCua36tDpCUOVYXm9+oQKamLB8dxkGXiT1Hka7Y/4udSudpttPL9SJthv2eOK/mKhOrJZ6ndHqr9wLKjWIYwCQLLRf6WsEuSXPT7zdsfYb+Zr8g/SVKhKKTuar9zHKe1mZLfa7ETP3PFjlC96bPKcSRiQtjJZ2S5eIq9VlsotZlSCLL07NbiKvUzpZ+rTRB4cBxffAbV4s+12x/93Nd6P67Y/kibuRl7qS2UPt/N+kig3EfW+g4r21Xp52qjn9Wbtz/SJ396XaV+9Hc14S//8i9/50q+KJbL5f6y9P+nT89QUl6vN4UzZ5bhdBqK4RsBs7Nx9Pc7qKX1a6/NQBA4OBwG2Gx6ZDISotEcNbu+fNmPiYkonE49nE4DdDoeHk8MO3fWaw0tl5Nx+vQsrFYdnE4DzGYdvN40rFY9FT548815JBIFOBx6cFweFosFCwtJbNvm1sqsrCTxzjvLcLnK7NPTMWzeXEftQ7722jREkdfY02kJsVieCp1+8okXMzNxOBwGjX1qKoJduxqKHQOHBx64G+Pjn0CvH0VHRxinTp2E3b4BTqeBCtv84hfzSCYlOBwGdHf3o7k5BkEYwaFDWfz7f/8sTpy4B0tLCZw7twqn04ANGzZgcfEtRKMZKIoLHBfAli1X8Z//81/grbf80OkEOBwGWK06JJMFpFIFKuz20UdezMyQoxAOR4k9qrEDJDT9+uuzsFrJd2MyiVhZScHtNqKurrwS/vnP55HJEHaOy8NstmBpKYGtW8t+n5+P44MP1rTv2WAQ4PHEsHVrnbZPoqoqXn11Gno9r7HH43lkMhJ13OHDD9ewsJCAw6HX2D2eGHbtqtfYU6kCfvrTOdjt+mKbIewNDUZKpffGG3PIZuViCDQPk8mM5eUkBgbKK+/Z2RguXPBq7b3Evm2bW9sPUxQVr746A4NBoNjzeQWdneVVzfvvr2B5OamxiyIPjyeKnTvL7MlkAT/72SzFvriYQkuLmQrV/vSnc8jnlaJyLwej0YzV1SQVNZiaiuDjj30U+9RUFIODNPsrr0zDaCRhLqtVh1gsD0lSqBXZe++tYG0tBYfDoLFPTcUo9ng8j5//nPb70lICbW1W6qjG66/PoVBQimE1wu71prB5cznsNjkZxaVLfo1drxcwNRXD9u1ubdCTZQWvvlpmt1h0iERyUFVQK7J3312Bz5em2KenY9Tximg0i1/8YlFjN5lELC4m0dlppURMp0/PQpZVjd1gMMLny1BK0tHRMIaGAlXsUezYUa9NbiRJwWuvzcBkEjX2cDgLjuPQ1lZekZ05s4xAIKOx8zyHmZk4pXYOhzN4881FrS8qCf16euxUBOL06Rmoqopdu8qf22g0/hV+S7tlV3bRaJ5a+o6NRajwE0D22SYmItrP6bTEiDBKIcZKW1hIwGSip4eZjERtrC4vJ5mNXKtVh5mZKPWa35+hZjM8zyEUylKih/HxCKNGMhoFTE6W2ZPJArPPUYt9cTHFiC4yGZna0F5by+Hw4QfxR3/0P+GZZ/4ELS09sFp1lHIVAAKBMjvPC7j99hM4depP8N3v/p/Ys2cXABQVoqJW5lvf+nM8/fRWHD8+jb/+63acPftf4HA0IZWi9wr0egGrqynqtcXFJLPHlE5LiETKwoX5+Tgzs7XZdJSvSuyV5Xieo74/AMXjBPT76XQcZmZi2s+xWB7pNO13g4FlX1lJMn5PpwuU6GJmJsbMbK1WHcbHab+Xwn+V7KVQbCV7dZvheQ6zs5XsOUakYDAIWFpKUK+trqZqnMMsUMKFqakoIyqx2URKWVeLXRBY9qmpGPOschywsFBWH4fDWUYEYTAIWFxMUq+trbHsqRT9rExORpjvpqTaLJmiqAiFarFnqL/zeKIMu6qqWFoqc4VCWWafzWgUsLBA+31tLc34tDQJLNnERIQR3lksIkZHy+ySpCASqWbn4fPRfcPMTIwaZAAyMFe25WCQ9bvJJDLsXm+aWtFyHIdEIk997vHxKLN3abXqcONGmT2flxGJ5Gquen9bu2UHO3JWpOwgl8vAbELn8zI129fr+Zohh+oHwWQSayqSKvcUbDYdU0aSFKYxVXfeJY7Khulw1GJXKGGGwSDUDAGw7ALDJQigGp3DoYdSFSKXJIV5iKvrLn2eyobpchkoNRXHcdiwYQ/+5m/+At/+9rMwm80wGn9z9uqNalHkGPZqgUqhoDCHqas7iFrv53DoGXFDoaBS54mMRoF5EFVVZeoyGESGnedpdpfLwKiB83kZTifNXi0QqPV5arHLskKJSoxGkQl/qqrKtEmDgW2jgsBXsesZhSFZwVWzf7bfbTYds0cjy6C+Q5NJRHXkVlFUpvOs9T0LAke9p8tlZBR/1c8Xz3OMcrAWu9XKsquqSrGbzTomDFyLvdb3LAg8NXgTdrZfq2QXBI5JXgCAeT+LRccoiwGOeu7J0R+6BGFnle612CsH77o6A+P3XE6hhGKiyDMD/ue1W3awGxx0U53Qtm3u4vkZ4txCgQw8lSo9UeSxZYtLW2WoqopEIs9seh882ExJcEnIykaFDRobzWhtLSsfZVlFPq9g/35683/PngZK8ZdIFKgQCwDs2OGGIJTZ83lyuLkytKrT8di8mWU/cIBlT6Vo9p4eB9Wgm5staGw0aQOsLKsoFBRmA33PnkZqJZxIFKgwBQDs3Nmg7S+V2B0OPRXi0+sFbNrk1GasilJip3114EAzkskCxb5hg4OaZLS1WdHQYKTYJUlhNtB37aL9nkwWqDAJAOze3QBFgdYBkMmRAZ2d5VCT0Shi0yanpmIrHYivFnkcPNiEZLLs93RaQl+fkxpY2tutcLsNWuclywoUhXCw7LTfq9n37GmELKsaey4no77eRKkVTSYRGzfatdn2zdgPHGhGIpHX2MmBeCfVoXV32+F00uwcB+zaRft95856alVFDhvTbWbv3iYUCuWjQ7mcjMZGI1pby+wWiw69vTR7KiXh4EG6je7f34REoqBNNFKpAjZvdlEDRm+vHXa7XmOXJHIwu7ot79rVUIOd/nz79jUhn6fZm5rMlKLbatWhu9um9Q2lQ+UsO/F7mZ1kPKrs/Pv6nLDZyhMbSVIgigIGB8vheI7jsHOnm2JPJApU4oqSryqPbGWzElpaLNTWhd1Ont2SirLEfugQ3Wb27Wuk/J5MFrB1ax21mOjvd8JsFil2vZ6nRHw8z2Fw0M1Efj6P3bJ7dm1tFmrAEAQSUz5/fhWzsyRcdOpUPyPX7+y0YXY2gqtXgwiHc7jzzjYmjY/JJMJkEnD+/CqWlpJobDTi8cc3MqvCri4bLl/2YXw8gmxWwmOPbWCURg0NJsRiOVy86MXKShy33daCu+8uK90++eQK/u2//b9w+fJFXL16Ffl8PYxGI556qh9ms455P48ngqGhICKRHO66q41J42M262Ay8Th/fg3Ly0k0NZnw2GMbmJlmd7cNn3ziw8REBPm8gsce60VTE83e2GhCJJLHxx97sbwcx969bVRWDYBMIFpazDh3bhVzc3Ho9QKeeqqfmVV2ddkwORnFtWuE/Z572jEw4KbKWK066PWEfWUlieZmM06e7GXYu7ps+OgjLyYnCfsTT2ygMoIAQFOTGaFQGp984sPychwHDrThjjtY9uZmE95/n7CTlFR9NditGBuLYGQkiFgsV8yqQStXrVY9BAH44IM1rKyk0NpqwcmTPdTKiuM4dHfbcfGiF1NTERQKKp54YgMjb29utsDvT+PSJT9WVxM4dKgdR47QimGdjkd9vQHnz69hfp5kGTl1qp9ZtXV323DjRhjXr4cQj+dx7FgH+vpcVBm7XQ+eJ9mFVldT6Oiw4eGHuxn2zk4bLl70YWoqAklS8eSTG6m9RgBobbXA603hk0/8WFtL4PDhLtx+O626LbG//z5ht1h0eOqpPiYc2dVlw/XrQdy4EUYiUcCXvtSF3l5adetwGKAoCj74YA2rqyl0ddnx0EPdVOSEsFtx8aIXHk8UkqTi1Kk+Su0MAC0tZqyupnD5MvH7kSNdzMRArydHYc6fX8XCQhx2uw5PPtnPsPf02DE8HMCNG2EkkwU8+GA3urtp1a3TaUChoODDDwl7T48NDz5Ip7TjOA7t7VZ88MEqpqdjUBTg1Kk+JqVda6sFS0tJXLkSwNpaAnfe2YV9+2h2g0GA06nHuXOrWFxMwG7X48kn+5hVYXc3zf7QQz1MSjuy4pTw4YderK6m0NfnwIkT3RQ7z3Noa7Piww8Ju6oSdrudZm9vt2JhIU7tp3+ePbtbdrA7d26FWj1ksxJefnkaTqcBLS0WmM06jI1FsGNHPdXwf/3rJXi9JIdjQ4MJi4tkY76yw1lbS+GXv1xES4sFzc1mKIqKpaUUJRBQVbKBznEcWlutcDoNGBuLYNMmB9XhXL0awPBwCO3tVhiNEvJ5XXEmK+LNN8/iX//rH2B4eBtWVlrh81kQibyBI0eOYHIyzrC/9dYi/P6sxr6wkITTaaDCAisrKfzqVwsauyyrWF5OUQIBkrZqGoJA2B0OPcbGIti82UXN5i9f9uP69RDa2krsIvJ5mRI3pNMSXn7Zg7o6I1paLDAaRYyPR7Bjh5tif/PNBYTD2eLKzIS5uQTq6w1UmHlpKYFf/3oZra0W7fzU6mqaEgioqoqXX56GTsdT7Fu20OyXLvkwOhrW2DMZkRE3pFIF/OQnHtTXE3aDgcfkJGkzlQ/tL36xgEiE+L2+3oTZ2TiamsxUuHNxMYEzZ5bQ2mrV2KsFAoqi4sc/9sBgqGQPY8uWOqrFapuYAAAgAElEQVSz/OgjLyYmomhvt8JgKCCTIeHdSnFDMlnAK69Mo6GBsOv1PCYno9i+nWZ/4415xON5tLUR9pmZOCMqmZuL4513VtDWZkVTkxm5nHwTdpJCr7XVAptNj9HRCLZudVMrkQsX1jA1FdPYUymS4aZy1RaP5/HaazMaOxEiEZFHJfvPfjaHZFJCW5sVbrcRHk+UEZVMT0fx/vtraGsjfs9mZQQCWSpHLckpOwWzWVfBHqbEPACZqExPl9mTSb44mStPAqPRHE6fnkVjowktLRYIAhFRVbP/0z/NIZsts09NRdHZSUeHJicjuHDBq7Gn02RvfePGMrskKfjxj6dgterR2mrR9rwGB93U5Pv991cxP5/Q2ONxEpatnHxHo1mcPj2HpqYy+/R0HNu305PO06dntPOYbrcRk5MRRlQyPh7GxYs+jT2VYoV+hYKCH//YA5tNj5YWSzFDTIRhf++9FSwuJqnI0rpApcImJqLU3tTISIiSOfM8h0JBoQQqhYKCmZkYFee3WnVMKqZLl/yUcEGvF7C2lqLEBl5vGpFITvvSOI7s6X38MZ2i5/r1UJUIIo0///P/Dfv3/wm++c2/hc93G4ASjxUrKztw4cKbyOcVSjCSy8mYmYn/Buw+KmSp1wtYWSHnsEq2spJENJqn2E0mgUl1duNGiDoMbjaLGB2lhSBDQwHodOU9SEEg2UWmp8tCiWxWwtxcnBqMSBop1u+VogsipkhS4ZmlJXI+qJLdYBBw+TLr98qHs3pTHyAptwyG8p6cIPBIpQhrydJpCQsLCWoCY7Ppmff75BMf1ZEZDESQUHmId34+jlSqoK1UOY6DXi/g8mXa76OjYcbv16/T7Jcv+6j9REEg2XsWF8tCglSqgKWlBOP36jRSlWnhyuxJSmwwMxNDJiNVCJY46HQ8k4JtdDRMhZ0tFhHXr9NpuS5d8sFkKrOLIo9oNE+lOiPnKGmxldXKsl+5EmDYZ2dj1B749HQMuZxCsQsCh6GhcvtTVbWY0o5uM9ev0+nQCLtYxZ6jRB6xWB6rq0lqAmO16pjna2goQD2rJQV55R7d5GQUhQLLXpmmTVFUTExEKL9brTqMjNB+/+gjPywWmj0UylJClmg0B683TbFbLDomLWEpv3Al+/R0jNrPHB8PayHjEjvHgeJSFBWTk6yQ5fPYLTvYkf2O8mCXTrOpcESRo5RNpfNp1Va90Z/Py4woQVFUqhxRLFULQThGaFIo0D+/+OL/i/HxXVhcPIB8vg7s+ZImLC8vQxQ5KqvKzdhL59Y+jV1VOYa9ehNaEPga7OxBz9K5oZKRzpt+P0Gg0wsVCgoj3qhVf620QaqqUj5MpwvM+SGSrPs3YacZ0ukCo+wUBLrNEHamKqb+WodiVVWlOq5a6dDI5OA38zvNLtfwO0/5PZ+XGSFSrfprvR/xe/n1dFr6zO+5Fmet+kn7q64LVexsm+E4jhFr1GanXydpsuj3E0XaV6UztZ/Fnsuxfud5OgVbPi8zbeY3ZVcUhWqnqVRt9so9LnLG8LOfr1yObX8cR6d4y+VYdp6v1a+x7KX980r2avEJYS9Qf1MrleDnsVt2sGtoMFGD2/btbiaNTy4nU6HH0tmRykEjl5MpQQJANlar6zKbRSZdWPXgSlLh0Hs57e1WrWHE4wGsrhpQzjJSQPWACfjQ0dGBfF6hUgJZLDo4nXqGvTqWvnGjk+mAzGZBSxcGkH3L6kafSNBpfACyD1DZeGWZpCerHEy3b3czRyIKBZUKgdls5PxWZeeVy8movpZnwwY79eCpqqqdYyxZT48D1RMEkume9nst9uoUX4ODLLssgwqBORx6WK200jKbldHTQ2ff6O11UIMWYddT7Bs3OpgJSzIpUWIDwm6m2CWpFnsdk+pMVemUb+R8mr6KXcKGDbTfiZiCZrfb9VS4sK/PyXSoyWSBCYGR0DnNXnmzBUDEZNXp8TiOo85c1tUZGGVzJiMxaeF6euxUR6woavE7K//t5s2umqnOKtl5nkNjI53ar1BQmEwlAwOs3wWBo55Dt9tIrbKAsmCp0jo7bQy700n/7cBAHXI5emCp9rsg8GhsNNZgp/2+ZYuLYdfpeErU1NBgYpSXqVQB/f1031Cd2k9RVLhcRioCsnWru2b+2x07yuxk/9ZYcyL/29otu2fX3W2nltomkw56vYCxsTCWl5MQRQ733NPJ5NLr6rJhYiKKmZkYEokC+vocuPfeDqrzb2w0IR7PY2IiirW1NCwWHR55pIcKUwkCh8ZGM0ZHQ5ifT0CSZOzb18Tct9XZacPiYhxTUzHMzc1hejpSkWdSB+AayJ21PIAE6us/xpe+9DSOH+9hHrSuLhvGxyOYmYkjlZLQ3+/E3Xe3U+zNzWbEYjlMTESKh9x1eOSRXkqoIwg83G4jRkfDmJtLQJZlHDjQzAh1urttmJ+Pw+OJweeLo7vbjYcf7qFma0SYwWNsLILl5SR0OpKiqnKfg/jBitHRMGZm4kinyR2Bd93VTg2cra0WhMM5TE4SdodDj0cf7aU6PVHk4XaT/dG5uQQURcHBgy3U5jZht2NuLo6pqSj8/jh6e9146KEeaoJCbqMgZzRXVlLQ6XgcO9bJ5Bvt6rJhbKzMPjBQhzvuaKPYW1osCAazmJyMwOfLwG7X49FHeyiRUSmH4dhYGPPzCaiqittvb2bStHV12TA7S9gDgQQ2bmzAgw/S7KU9t/HxCJaXUzAaBZw40YnGxjI7x3Ho6LBibCyM2dk4MhnCfuRIK8Xe1mZFIJDBxEQUfn8GDoceJ0/2UqElnY6H02nA6GgICwtJqCpw+HALNakp+X16OgaPh7D39TXggQe6KXan0wBZVjA+HtZClQ880EXtmxN2C27cIOzZrIRt29w4fLiFYm9vt8LnS2NyMopAIAOnU4+TJzdQna5eL8Bu12N8PIyFBRIqPXKklRl8CHsUMzNRBAJJ9Pc34MSJLkog5XIZIUkyxsfDWF1Nw2AQ8KUvdVMT4ZKopMSey8kYHHTj0CGavaPDirW1FCYmoggGs3C5jHj00R6GvXQmsHTG8I472pgUcz09DkxORjAzE0MwmMSmTY04caKbWoW63abiDSSE3WgU8NBD3ZTIiGgQLBgdDWFuLoFcTsaOHW4cPEiLjErsk5OE3e0m7JXHWAwGARZLmZ3jSIo0MmGtZLdjcjJKqWPX9+wqrDpTPED20cggZATAYW0txZSJRHJIp8n9WXa7vuYhSklS4fNlYDKJaGgg51z8/gxTl8+XgiQpaGw0Qq8X4fWmmXMs6bSEcDgPh0OH9vYuOBw+lFdzPQD6YDa/jM2bP8K+fct47rn/EaJoxNpauvrtEAplkMkQdqtVh0Agw8z6SsIIs1mH+nrCXn0wFiCH3WVZQVOTEQYDYa+eXaVSBYTDOTgcOthsJPtG5d4fQFYBa2spiCKZXSoKavq95Of6eiMslhI7e7bQ50tr7NmschO/V7OnarJHIjm4XAbY7TrEYgUmoQBhT2vsqgrmIC5ADqhnswrq642wWkUEApmaZ58CgQysVsKey8nMIXYART8DTU1G6HQ8VldZvyeTBUSjebhcRthsJPtGNTvJ4UgOJTc1kVl9dYKBEnsup6C+3gSrVQe/P1MzbB8IZGGxiJrfqw+CA+R7VRSgsdEIQSDPV3WokbSRQnFVKSISyTFREkVRtX2hpiYjFEWpye73Z1EoEL+XckjWCisSdh3cbiOyWRnBYK02k4aqlth5rK2la7ATP5PMIQIikTzDLssK1tbSMBjEYntXqOt9Kt9Pkgi70SjW9HsupyAUysJu18PtNiKTkajkDyXzelPgOO5T/R6NEj+7XAbYbEKxn2PZvd4UjEbSr8myWrO9+/0Z5PMK6utJ1hOfrxY7ad92ux51dQak0wVEIrX75BI7z3M1+7VwOMtEWD6P3bKD3dmzS9TPCwsJTE9Hi6lwjHA49Bgfj1BfpqqqOHt2GRaLCJfLUMwUTi4WrbSPPvJqDcflIoPihx+uMfsvH3/sL6bCMcLlMiAQyDJ3ZJ05swRR5OBykZRQjzzyINzudwD4AATR3r6Af/NvvomvfOXP8OUvfwstLfVwOg24cSNEDVKKouKdd1Zgseg0dkUhSqZKu3BhDek0Ya+rM8Jm0+ODD9aYPYxLl8rsTqcBXm+aERK8/fYS9HoeLpcRDocOJpOIM2dov3s8UczPJ4opt0hd16+HEQ7T7O++uwKrVVfkIjP7c+do9g8/XEMuJ1ew63D+/CoV0ovH87h6tczucOixtpZmMnn8+tdLMBh4bbAzGHi8/Tb9PU9ORrG0lCymaSN1DQ0FEI3SV7+cO7cKq1XU2kM+L+P991epuj74YK14QJx8N1arDufOrVKTn2g0h+HhIByOsq9WVpJM9pe3315m2M+codnHxyNYWUlS7f3q1QA1GZEkBe+/v6r5vXRO7vx5mv3cuVUUCiQBA2EXce7cCjUIRyJZXLsW1N7P5TJgcTGJqSk6+8uZM8swGgXU1REmvZ7H22/TbebGjRC83nQFuwFXrvipAV2SFJw/T9hLXNmsjAsX1qi63ntvBYqioK6O+N1i0RVfq7z+K4Pr18MV7V2PhYU4ZmbiVF1nzy7DaBSL7V0PUeRw9izt95GRUHEFSeqy2w34+GMfs8/74YdrGntdnQGpVAEffUSLPN55ZwmKAu15tlhEvPvuCjWQ+f1pjI6GqTYzOxvH/DzNfubMEkwmsThB0kMQOOZZvXo1iEAgW2yjpF/76CMfs8/74YdrsNv1xT7LgGSywIhr3nlnGRwH7Vk1m3U4e3aZYl9bS2FsjGafno4xGXzOnl1mwr6fx27ZwS4ez1MdeK00PiaTQKkC02mJSeMjCBxCoRz1WrUaCSCrjsq0VaurSUYoYTKxqZii0RwVZhwYuA3f/vZ/j7/5m3b81V/V4733/g4DA0dqpgurVAWmUgVmJUTY6Zmgz5dh2HM5mVKSrqwkGYFKKV8gzZ5nxC7RaJ5q0LOzcYZdr+cxO1uuK5Goxc4zKx+/n02flMspVNqqpaUkkxXEbGbTGZH7BunzSpU+KLFXtxm9nsf8fLmueDzPsIsiz6weAoEMs4ebzUrU4LO4mIBOR/vTYtFhbq6aPfuZ7KXzadVclX6Ix/NM1KIWezD42exzc7SqEyCKv8o2WmKvtFrsi4sJpnMTBJ5SY0ajOcbvJD0ezR4KZZlzmJmMTK0UiBKYLlOd2k9RVCZaxPMc9cwD5HhMtXKQ5zmsrJSjGZFIlhFb6fUCs3oNh3OM2CWTkSjxSeUlsCWz2XTUQC1JCrMXV4t9ZSVZc1CpvDQ3HM4xojqDQWCiNdWp1QAi+KoUis3OxpmrvSwWER5PuU/O5+V/llUdcAsPdiaTSKmUWlosjCIvm6XvHTMaBWYgAMB8ITYbm5JKEHhqz87tNjKqper0ZABqNi6n04lvf/tZ/NmffQv19fVoabEwopJ8nr5nj3xeNvXTb8IuinRKoFII47PYq+sufZ7KjripyXwTdhP1N9WDWEl8Us3OpjrjKI5a7CR7yGezVw8ODQ0mZgO9UKDvATObRUYNpygsu9XKpo8TRZ56z4YGE5MuLJuV0NBQ3WbYW5ur21FDg6mmQq6S3WLRMX5XFJVqx6VyLLtAsTc2mpgOPJORqD3CUl3VVv1dlMK8lSbLCrVnZ7XqmPauKCqTFs5i0TEhPZ2Op/xFzg5Ws8vUGTSS2o3tG6r9Xtr3ormA+vqyEInsY9NtRpZ/c/ZKjqYmc40LmiWqbxAErmbatOp2VFdnZMKRiqJSz73Nxvq9Og1dib3aDAaB4mhqMn9mn6zT8TVTKn4e+8IMdhzHvcBxnJ/juBs3+f2dHMfFOI4bLv773z+tvr17G6lOd/NmJ+x2vdbxptMSGhpMlMJLEHjs3t2AeJykRpIkBclkAUeOVN9N1oxCQdEadSKRx8CAi2r4LpcRvb12bVaSy8ngeR579zZW1dWKeLygXc8Rj7NpsgYG6mC16rSON52W0NxsplSioshjzx7CTqTGCtJpibkT7vDhZuTzstaoEwmSxqdyNlpXR/xSyU7qp9kPHiTpjMh1SCV2OuXR4KCbYW9pMVOHt3U6Hjt31jPshw/T7Lff3oJcTtaOKsTjRHVW+TA0NprR1WXVwka5nAy9nmfSaR06VE6BVWKvzoaxc2c9jEZRY0+lCmhvt1AHoPV6ATt21GtpnSSJ3CRd3WYOH25BNitrRzNIajU3NblqabGgvd2isWezEoxGkRE1lfz+Wex6ffm4SCpVQFeXjeoEDQaSVqqU1ql0C3Z1RpOjR1uRzUoaezyex86d9dRA2d5uRWtreWKTzUowm3WMGrOaPZHI49Ah+v12726EKJbZk8kCurvtaGgoD3ZGo4ht2+oo9lxOxu230344cqQFqZRE+X337nqqw+7osKKlxaxFdbJZCRaLyNw9SdJ3FSrYC4yvbrutETxPs/f02Kl7M81mUndptVV6HqvZDx+uZs9jz54GaqVa8kvJ75mMBJtNRymnOY7D/v1NWr9WYq/uG/btI893JXtfn5NSDFssOmza5KpiV5nv8MiRFiSTBe1IVDyex+7dDdRqr7fXjvp6o+b3TIakEqwUNXEch337GhktwOexL8xgB+BFAMc/o8x5VVV3Fv/9H59WsFriLwg8jhxpRTSaw9BQoDiItTBhuB076lFfb8T16yFMT8cwOOhmbiq32fTYt68JS0tJDA+Tg8fVAxRABhZAwfBwAF5vCgcPNjGzlM5OK/r77ZiYCMPjSaK11ULdng6QgezIkRaEQoQ9lbo5e12dASMjIczMkIwT1Wmy7HYD9uxpwOJiAteuBWAy8Uy+ToA0VkVRMDQUgM+XwqFDzUyYqqfHjg0bHJiYCGNmJomODiujvhNFHocPtyAUymJoKIB0WmIulAVI/kenU4+RkSBmZ2PYvr2eSZPldBqwe3cD5ufjGBkJwmIRmMkD8XsrCgUZQ0MB+P0ZHDrUXCNdkwO9vQ6MjxP2ri4rI1vX6XgcPtyKYJCw53LsIAaQPJQ2mw4jI0HMzcWxc2c9kybL5TJi1656zM0RdqtVxG23sbe7Hz3ailyOsAeDWdx+ewuz+tq40YHOzpKKkqSRqlbf6fUCDh1qht+fwdBQAPm8zEweADIptFhEjIwEMT8fx549DVTnBpAZ/44dDZidjWFkJAi7Xcfk6wSICjCblSj26lVAX5+TYt+wwcEcMdHrBRw+3Ay/P42hoQAURanJvn9/E0wmHiMjQSwuJrBnTwOTJqu+3oQdO+o1dqdTz0weOI7D0aOtSCYJeyiUxZEjLPvmzU60tpoxOkrYN260M5fTGgwCDh5sgtebqmBnn68DB5phNPIYHg5gaSmJvXsbmRV1U5MZ27e7MT0dw8hICC6XATt2sOx33EEGlqGhACKRHA4fbmFCt1u2uDQV5exsCps2ORglutEo4uDBZqytpTA8HACg4NAhto0eOtQCvb7Mvm9fE7OSa262YNu2OkxPR3H9eggNDSZGzc3zxO/xeF7bCz9ypJUJfw4M1KG5mb30+bc17p/juvN/LuM4rhvAz1VV3Vbjd3cC+F9UVX3wZn8fi8W0D/PmmwvUbeWpVAHf/e44FV7KZCR84xsDVCf++uuzCAQyWgdDErQ2UyuD+fk43nhjTmucsqxCrxfw1a9u0sooiorvfnecytoSj+fx5JMbqRyTFy6s4dq1YFHV5IfT6UZ3t526NTuZLODFF8vsqqoim5Xx3HMDVCd++vQMQqGsxl4a0CsfkOnpKN58c1HbR5NlBUajDl/5Sj/F/vzzYxAETmNPJPJ46ql+agA6f34Vo6MhGI1l9t5eO+67r8wej+fxve+Na75SVRW5nILnnhugOvHXXptGNFrOOJNKkUGx8ozZ1FQEv/71kuYHWVZgNuvw1FNldllW8MIL4wz7l7/cD7e7zH7u3ArGx8n1KCX2jRsduOee8s3T0WgO3//+JOz2st/zecJe2RG+8ooH8Xg5a0syWcA993RQ5yAnJiI4c6bMLkkKbDaSe7BkkqTghRfGoNOVL/KMxwt45pl+Kk/jO+8sY2oqSrFv2uTEnXeWc3tGIln84AeTmt9JpELFc89toTrCl1/2IJmk2e+/v4M6NzU6GsK7765qmX4kSYHDYcATT2zUyhQKCp5/fgwGQyV7Hs8+u4UKz505s4SZmRgMBsLucLgxMFBHTYBCoQx++MMp7e9KF4A+99wA1RH+6EdTyGTKGWeSyQKOH++k0mmNjIRw/vyqFiotFBTU1Rnx+OMbtDL5vIwXXhin2BOJAp59djM1AL311iIWFhLQ63n4fH7Y7XUYHHTj8OEyeyCQwcsvT1F+VxQV3/gGzf6DH0xSB9CTyQIeeKCLuntyaCiACxfWtIGkUFDQ0GDEo4+W2XM5GS+8MEZly0kmC3j22S1UX/erXy1gYSGh+d1ur8OOHfXUiszrTeHVV2e0vqEUuv7617dQE+uXXppAPl/O2hKP5/Hoo71UmsArVwL46COv5vd8XkZzsxkPP9yrlclmJbzwwjgVEUulCvj61weo137xi3ksLyfxx39cHhYcDsdvfefPF2ll95vYQY7jrnEc9ybHcVs/reD8fJxSug0PB5mVCTlDVVbp5XJy8SxY2S1mM3sn19WrAeZMXSSSRThc3nxfWUkilaIzcFitOly5QqcXmpiIUCFEg4EITyr3SIaGAlSsm+PI7b6Vqc6yWQmrq+mqM246Jn3X8HCQEowIAo9QKEOJBJaWEkwWC4tFh8uX6fRdpMOl2WdnaUHC1at+quGWbvSuVOml0xJz/5XFIuLGDVr9ee1aiHqASyKWSoHK/HyiGDKm2avTppUGi0r2SrESAFy54qf2k8it2Cp1n10yWYDPRws4rFYdla6JsNPpk0SRh9+foRSGMzMxFAoK1bFYLCLj9+npGMNeuakPkBRflXsyJD2eTAlG4vE8AoE0wz48TLNXp7QTRR4+X4pSGE5Pk/R81exXrtDpu0oDXcmMRoFRbF66RKfJKmXoqBTXRKM5RnxSi310lE5pp9PxWFtLUUK0yUmW3WQSqDajqmoxkTlfUUbE5GQ1u59a5ZSyp1SKayKRbJGd7huq2cfG6PRkOh2P5eUUtY88MRFhbkw3GoXiyoyYoqhMOj6TSWT8fuVKgPIVz5MsTZWpzkKhLCIRWjhjt+uZ52t8nE5pp9cLWFpKUfuZo6NhZu9Sp+Nx7Vq5LllWsLjIip8+j/3z7Pz9t7GrALpUVU1yHPcAgNcB9N2ssN8fwMjIdfzsZ7/Gyoof3d07ALRTzs3nFczP52G1ki+dnA0JIpWiHSuKgMdTbuRraz4kk9UZFwqYmRERCpFBcHU1g2AwiEym7GJVVSHLeng85Q7O7/dTDdXn8yObleHx6LUOe2EhzFzymsvJmJvLw2QigxlJcOtHKsVeNurxlP/O6/UhlaLZUykJ09MzcDjIg7W8nEYgEEQ6TbMrShQeT3lQ9Pn8FJPP50cuJ2Nqakr7TEtLIfj9tDIrm5UxPy9BryeDWSYjIxBg/a7Xs+zpNMs+MyNqA/jCQrpYF83OcTGK3e/3U528z+cv5hv1aK8tL7PsmYyM2VkJPB/U3j8YDFC+AgCjkUdFVfB6vchm6c1/4nedNpDMzyfh90dgNpf9oCgqBCEOj6c8kfL7/dSkxufzQ5IUeDzlCdjychCBAK04zWRkzMzIUFUSvkomJeZ7BkhHX8nu8/kY9nRawvT0tDaRmZsj7JXiCUVRodMl4PFkKuryUx2Xz+eHLKvweMqd+soKy55OS5idVSFJJCwfixUQCLB+TyYFeDzliaLX60U+X50GjrCXJgzz83EEg/QgrCgqDIYkPB6ikFRVFX4/y66qNPvqagDBYJ5hn5kBcjnCHo3mEQoFkc3S7KmUAI+n7Gefz8sIljIZCR5PmX1uLo5AgB6EZVmF2ZyCx5PSPovfT0+YfT4yCfF4ygyrqwGEQjQ7eb44pNMkshAO5xEI0P0a+YwCPJ7ys+n1eiHTjyoyGRkez7TGOj8fQyCQoNqyJClYWEijvj6p/ezzBYrtagt+F/u9GexUVY1X/P8vOY77/ziOq1dVNVirfHMzjz/+47+Fx7MFqtoJm+0SNm68gGee+RNquX/8+AC1spqYEKlwWiYjYffuBvT1lePuqlpPhdMURUVTE4fbbtus1d3bq2BqahyiyFFhnQce2EBlPjlwwITJyagWXqirq0dLixmbNvVoZRoacnjppQlqNZlKFXDs2AC1shobE5BM5rXZbjotYe/eRvT1lePuklSPs2eXtQ5WUVS0tPC47bbNWpneXgWTk2NMWOfBB+krivbvN2J6uhyScrncaG+3ob+/HD6ur+/ASy9NUqGsdFrCvffS4ePRUZ7Kr5hOSzhwoBl9feUQbC5Xh/feW6H83trKY/fuMntPj4Lp6THqwY7H8/jSl/ooZeC+feQ8UiV7Z6cNfX1l9rq6diqcBpD2cM89dPh4dFRANltmT6UkHD5Ms991lwsffLCmDQ6yrKK9XcCuXeXQd3e3gtnZUao9xuN5PPggHT7eu9eA+fkyu9PpRk+PHX195fCx09mOl1/2UKv4bFbGPffQIdgbN3gUCuWVcCpVwNGjbejrK4ePjx514uJFL8VuMonYsaMcPu7qkjE/P0at4hOJPB56aBO1f7l3rx5LSwno9WX2DRsc6Osrh49ttla88sq05vdS6PuOO2j2sTGeSiScSkm466429PWV9+uPHHHgk098FLvVqsPgYHme3NkpY2lplFoJl9grw8e7d+u0W9tL7P39TvT1lcPHFksr/vEfy6HAknjm6NEBahU6NsZDllWNPZks4N576euVjhyx4/Jlv9YeZJmEvivZOzokrKyMUSvAeLyABx/cTLXb3bt18HpJ5Kcy9F3JbjS24PXXZ6gtB0lScfhwOQSrqirGxkhkqbxNUMB993VSGWcOH7ZiaCiosaYbQ9oAACAASURBVEuSAqfTgK1by6HvtjYJa2tj1Co+kcjjwQcHqNd27tTVTATw29rvTRiT47hmrtjzchy3D4Q9dLPyv/zlK5iaOgJVbQJgRCKxDVNTely+fAlDQ0GEQlk8/HA3cybmwQe7YTIJGBkJYXIyir4+B/btozdp+/tduO22RszNxTE8HIQkKTh5srfq/jweJ0/2Ip2WMDwcxNJSEkeOtDApvo4ebUNbmxUTE2FMTyfhdOpx7FgXVcbpNODYsU74fOniXXWEvVrs8vDDPdDrCbvHE0V/v5O5oHHLFhd27yZCiWvXglAUFSdP9lJlBIHH44/3Fje9g1heTuKOO1qZu/juvLMNLS0WjI8T9ro6I+6/v4Mq43IZcf/9nfB6CXs0msPDD/cwYYlHH+2FKJJs7dPT0SInvRm/bZsbO3a4MTsb08KEJ09uoMqIIvF7IpEvsqdw111tjAT+7rvb0dxsKab5SqKhwYR776XZ3W7y2tpaCkNDQcRiZG+iWuxC7tQrscewbVsdIyTYvr0eW7fWYXqasHMc+cyVptMR9liMsK+upnDPPe2MUOeee9rR1GTS2JuaTMw9gg0NJtx5ZytWVgh7IpHHyZO9jOjisccIw7VrJWGQm8nFuWtXAwYGyuyiyDHser2ARx7pKQrAgvB607j33g5GqHPffR2orzcVU8Ml0dxswV130XfxlV5bXibsyWQBjz/Osp882QtVLbETYVC1MG3PngZs2uTE9HQUIyNB6PU8Hn64hypjMAh46KEeRCJZDA0F4fOlcf/9ncx9dseOdaGuzlAUqCTR1mbFHXfQ7K2tFhw50lwUrwWRSkk174s8ebIXsqzg2jUiatqzp5ERd912WyP6+pzweKIYGQnBYBAYdqNRxEMPdRcFYIT9+PEO5hjDsWOdsNv1uHEjpLEfPUqzd3RYcfvtLVhcTGB4OIhMRsbjj29g7v577LENkCQZw8OEfd++Ria12v79zdi4kaT5un49BLNZxIMPdlNlSq8RARhhP3Giizm288AD7Gufx74wgx3HcT8GcBHAJo7jljmOe47juH/Fcdy/Khb5AwA3OI67BuA/Ajilfoq6ZmYmjfLVOMRSqc0YH/8E27fXwWAQcPUquyj0eKIIhXIYGHChu9sGjyfGHHrNZCTcuBFCc7MZg4N1yGZl5noYgOyPKQqwbVsd3G4jrl8PM2dwfL40Fhbi6O11oLvbDK83w2Q/UBQVQ0Nkz2f79jqIooChIZZ9aiqKSISwd3baMD0do/azALJiGh0No6XFjG3b6pDJ3Iw9BFXlsH07YR8eDjJncLzeDBYXE0VFnRlraynqChmAzEaHh8k1K9u310EQ+JrsExMRxOPkGERHB7nINRaj/Z5KFTA+HkVrK1F6JZMSxsbY+Q65moXDjh11cLsN2oSk0lZXU1haShSVjSYsL6eofZUS+9BQAA6HAdu314HnwexNAGTfNx7PY9u2OnR0WIufhWZPJPKYnIygvb3EXsD4eISpa2goCEEgfnc6a7OvrKSwtEQuxCyxVx/qlSQF164RBd/27eT2jMora0o2Pk4u4Ny2rQ6trRaMj0eY1GPxOMml2tFhxdatdYjF8hgfZ9sMYeexfXsdbDYdhoaCTHq8xcUEVlaS6O8n7EtLCWpPCCBCjKGhINxuwq6qXM02Mz4eRjotFdnNGBsLM+m7YrE8PJ4YOjpsGBioQzSaZzLSAORZFUUB27eTYz5ESUl3L4uLcaytZdDf70BHhwkLC3HmIHihoGBkJAy324ht2+qgqmD24gDgxo0wMhkZ27bVobmZKDyrz6NGozl4POSeu4EBFyKRHLPPVvK7wUDYLRbi92r2hYVE8Q5CJ9rbCXt1GrN8Xsb162E0NJgwOFhXfHZrsYeQyykYHCTs5LPQ7JFIDtPTcfT02LBliwuhUJbJSKOqqqZHKLGTPpNmJ6HaW2hlp6rqU6qqtqiqqlNVtV1V1edVVf0HVVX/ofj7/6Sq6lZVVXeoqnpAVdULn1afLNc6dR9HQ0M9BIGH1arD8nKS6pwVRcVHH/lgt+shirx2CPK99+j0SR9+SFISmUwiBIGH3a7H0FCQ2jiOx/MYH49ohzDNZhGZjMTc73Xu3CosFpKkWhR52Gw6rf6STU5GEAxmYLHoiofXdZifT1Kdsywr+PhjL8Wu1/NMurAPP1wFz5MZYamuq1eJrH5lZQVnzpzFxMQcxsfDsNvJ+5lMItLpAtNZlkKKZXY9zp+n2cfGIgiHc1XsMapzliSleN+bjmKvTrl1/vxa8YBsye/kzrvKCUQ4nIHHE4PNpgPPE/ZUqsA8tKU0WXq9AJ1O0FKPVdqNG2QQM5tLvtJjdpbuJCRJweXLftjtJOG1wSBAp+MZPxB2voKd3HlXOYEIBDKYniaZfgSBtJl4vMCkaXv//RXYbDrodIS9lHqs0kb+f/beM1au88zz/J9QOdyquqFuTuRljmIQRVKkcqCCaVvTdltoYBa7aMysF+hBN/rDLLCAGz2L/d7TWAzQ3bNAY8a2ZKktyZJsZUsiKSaJl+Ilb865bqh0Kp24H946p85Tb8mp/cEW+v3GYt1zfvWc97zpeZ7/8+UW8nk3uwcTExlyHKSqBm7c2HDYbbZLl1br7rcCr5f9Nllm7DdupMgkvLZWwMwMs7sksWT5TKbCLaQ+/XQFkYiXsH/yCb3f8PAGikXN9X55MD6eQTpd81tWKgZu3txw7uf3y9Vq6vXsy4Q9EvHg+vUUmYSXlxXMzeUJ+/Z2hVuMfPrpKrF7KOTh+ujnn6+jVNKrYgPsfmNjabLoZOkZm47d2emSxUmdffzxCnw+ycXuxbVr62QyWFzMY2FBcfpMOMyO/OonxUuXVhGNMnavl7HX95mbN1OoVHTH7nYRW3eOW6mkV4PcauyWZeGzz9bItX75y2VHpMNmv3JllbAvLChYWioQ9rW1IqamauyWZeHSpVUuLeN3aX8wk93vu+3c2QOfz/0wTbS03MS5c087n/j9rPin3UolnVNuEASBS2h0F2W1m65T2apUqshJbjEfC12hKAqfLFkoaORlXFjIc3ksgQArumq3YlHnVCBEUeBkgpgEUb3klo4///P/E4888rd44YUP8Oyz/w9ee+0fiHoDSy+gK8H6VbT9mfvvGkkQ+XwSkU8qFHRuxyuKArcrzWRoBBvAFE3cv3F1tcQpmvj9MrcCr7dLo8+WlwvcMbfXK5KdiKJoX8FOd3bZLC/9xKSQar9xZUXhcuoCAYkTx20kn1T/2epqY3b3tRRF43brktSIXeVynzSNyjgtLxe5o+lgUOZ2bW6pqxoHfc7r60XuiF6SBPIM83m1AbvISWDlcnxNwkrFIBzLywVOLiwYlLG0RBfCjdjrd8GpVKlh1Lf73cnlVG63Lssitrfr2Xm7VyoG2QEuLiqcskso5CELYVuk4Tdhrz+iFwSQBVImU/kKdioDl8vxUoKVikHUXpgsXD27jKWlWp/RtMbsv0v72k52Fy/+Gf78z8PYs+cKenuv4MiR63jhhT9BKFTLYymVDJIUGgjI3Etm179yt5YWXlbHLnFit2QyyEn9lMs6V9omEvFy37NXOnbr749yg1m5rJO8llDIw0kCMXY6STY3+7nOev3623j77QDW148BGMDm5gncvh3DpUtvO98plXTOZ9dotRUOe0gn7+2NNKgjaBL1l3BY5gYIVruLXj+R4Nm9XoH4J7q6gtx3SiWDq93ViL3ez9HTE+aOZ1TVJMm44bCHYzcMq0FSuY+TMfN6JcLR0xPmou+KRR3d3ZS9npP9Hvqcu7t5dk2zyLUiES+J4mPsZsOE+MbstXv29oa5Sb9Y1IlSTiNO9ntoIjiT9qPshmER5Zpo1MsNzHYVAXerr/EI2KVlau95b2+Yk9wqFDSS7C6KAkm/qP0e+iw6OkKcxJxpgpSFamrycYuaRuxNTY3Z3YvH/v4IJ7mlKBoZ15gsHWW3LItLwG9v5yXmABB/dzzugyxTu9uVJ9ytvi4owMZX98Tc3x9pGF3d319jt3ehv4/2tZ3sHn64G3/7t3+Fq1f/PwwP/xM++ugfcf/9R5HPa46IbX9/lAxcoijg7Nl25zuFAlv51jvQH3igHR6PCEWpXevEiTYy6LGoqZaq2K6OfF5DOOzlgi4eeaQL5bKBQkFDucxWy/VO76GhGDo6gs798nkNO3bEyMQpigJOn+5APq8S9oceotdi6goCYV9dXYCm0e8ZRh+Gh+8694tGvTh6lCogPPJIF4pFnbDX22rPnjiSySAURXXuNzTURF4gSRJd7GzVbRgWZwe7zhpjN5DLqTh5sp0MHLGYH/v3N5NnGI97Odkqxq6hWNRddqfqKPv3J5BI+Imtdu+OkYARWRbxwAPtjqiyojA5qXqVmHPnumCalsOezzOJL/cJQSIRwJ49cafPKIqG5mY/J1v10EPdKBRq7MWihocfpgEqBw4kEI/7qs+Gse/dGycTmccj4v77k47dFUWDZYFTiTl/vtPZ2bjZ3Quy1tYAdu2KOf1PUVS0tvpJYj1j73LYSyW2S3n4YXq/w4db0NTkI+/q/v0Jsuj0epl6Ti6nolRithJFgZPvOn++C7pO7X7mDFUYaW8PYWgo5txPUVQkk0Eu6OKhh7qhKPXstI8ePdqKSMRL2A8eTJAFis8n4eTJNtf9tOo70F53vy7ouuk8w3xew9mzHWS319kZxuBglIwzHR1BTg2IKcRoKJV0lMvsOdazHzvGlFDsZ8gk7VpIcIjfL+PEiVbSRz0ekatn99BDXVBVnp3W64ugvz/i6jMaurpCRMKRPcOOhicxv2372k527urHoshC6PfsiaFU0jAxkYGmmdi3L8b9XW9vFLGYBzMzeaytFdHXF+FWb36/jB07mrC1xXwsfr/IdS4A2L07BlEUMDmZQS5Xwa5dMe74M5Hwo7MzjJUVBXNzW4jFRG73J4oCdu+Oo1CosddLigFspRSNejE9ncf6ehH9/b+OnSUnNxJFBiwIAgvYyecr2L07zrE3N/vR3h7A8rKC1dUSWlsDCAZ1lMu1Iw3GHkOhoGNigiXv1hcjBVhBUqY0z3xiAwORBlUqZOzYEcXmJmMPBj1cVW1m9zgsy8TkZAbZrIrdu+Pc0W1rawDJZLAaIFFCe3uAk4UTRdZnFIXZ3bIsbvAGmGxaOOzB1FQWGxsl7NgR5Y5uAwEJO3ZEq365LEIhD1fNHED1uVqYmMhAUTTs2RPj2NvaAmhvD2JhIY/V1TKSySDRjQTYAsKeOJn/xsLu3XyfGRyMIhj81ezBoIzBwQhSqSKmprIIhz3cgAQAe/cmYJo2u+70f3dLJoNIJgNYWMhjba2M9vYAF20qyyJ272YT5+RkBoLAFk31befOJvj9UrUgaQmDg1Hu6DYc9qCvL4xUqojp6RyiUS/ZOdTY49B1JnZQKOjYsyfOsXd0BNHa6sfCQh6pVBmdnSFSlNVm37UrhlyOBZewPsSz79jRBJ9PxNRUFltbpepv4UXbe3sjWF0tYno6j6YmD6l47mbXNGb3UknD3r1x7gixqyuMlhY/5uZySKUq6OoKIx6nOzuPh7GzoB5m9127+D6zc2cMfr+IqakMtrdL1d9Cd3vRqBe9veGqLzePeNxLTqLstmdPHJWKicnJ7K9kr7fz79K+tpXKf/azWTKoZrMqfvrTGSQSfiSTQQSDMu7eTePAgQQnuVUqGUgmA0gk/NjcZAUi3ccxo6NpfPbZGtragmhrC0IUBYyOpnHkSIvzoHTdxI9+NIlgUEYyGaxOQll0dobI8cGHHy7h0qXreOutf8bdu9P49NNL+PDDT/HCC49AkhhXOl3GG2/MOuyBgIy7d7dx8GAz2dW8+uq0U1EgHvdjc5MVMe3urrGPjGzh+vUUWlsDaGsLQhAEpNObmJ1dg67XOrbHM43HH9+N++47gEiEsXd1hckK9YMPFrGyUkBbWxDp9DT++Z//Ef/1v36A//E/3saNG1fwxBNnkcvp+NnP5h12v5+xHzrUTCbPV16Zgq5bVXaf49t0p2rcvr2Bzz/fRFtbwFHvn5jIEK1DTTPxox9NIBz2IpkMIhLxYmoqi97eMJn43313EWtrBSSTQXi9GgTBh1SqSGSyNjZKePPNOTQ3U/bDh1vIBPTyy5PVXMsg4nEfVleLEEWBLLhu3drErVsb1T4TgGUBk5NZUn1ZVQ38+MeTDns4zIJKBgai5CjnF7+YRypVQjIZhMejwbK82Noqk53I2loBb7+9gJYWxu7zMSUgnn0KlkXZPR6RHFl//nnKidKz2aemskTrsFzWq3l9bvZsdfKssb/99jw2N8uEfXu7QhaLy8sK3nlnAS0tgSq7hLt3t3DkCBUS/vGPJyEIApLJYLX2H/P1uRctN26kcO/etmN307QwNZUjO/1SScdLL02iqanGPjaWxq5dMTJ5vvXWHNLpCtragpBlDYbBCha7Jb4WF/N4//0lh93rlXD37jaOHGkhuWo/+tEkJKnGvrioIBTykKoUn322hvHxjNPfdd3C7GwWBw7U2ItFHS+/PIVYjLGHQh6Mjqaxe3eMTJ5vvjmLTIbtWGVZg67LyOc1smiZm8vhww+XnIWgzX70KGX/4Q8nIcsikkk2li0uFtDU5CWLlitX1jA5mUVbW9Cp5jE7myPshYKGV16ZRizmI+x79ybI5Pn667NQFBX33VdLo/q3SuWutrJSJL6b4eENbsXq9YokWqxc1rGxQZVK/H4JMzNUiunePSpbJQgsEMRdO255WeFKnkQiHq546/j4Gl5++SeYn38I+fxZbG2dw6VL7fjLv/y/XeybXDkOWRZItFixqGNrq0QGA79f5sJ9x8bSnCTQoUOP4YUXPOjtvQ6/fxydnZ/h+HEDJ08+6nyvkQQW0wmUoGkVvPbaq5ibO4d0+gHMzZ3Cq6+24vvf/wFu3drkdo6iCBItpiis4rmbPRCQOfmu8fEMx57NqiQ1ZGYmy/mXQiGZi8a0E5vtZksxudutWxsN83vc0ly5nIpMhgYSBIM8+8REhpORymRUEoQzNZVt6L+tD7uvl7TzeiUu5WN4eJPzMdmyUXbLZCpcPcVgkJfAmprKkkGf1UIrkwCHiYkMtyJvZPfl5cKvZb99e4vz7RmGRVJy0ukyF8ARCskYH6fRn43Yt7fLxI88NpbmgpqYxFyN3bIsLC0VyALN55O4NKEvv9zi7K6qJgmE296uIJ/XiL3CYQ+XzjEzkyN+eEkSsLlZJv7Mu3e3Of+fHcJvN8MwsbJSbMBO7X7nzhZ3EqSqJgkm29xktqPsMhd1Oz2d5dhTqRLxCY6MbHE+40BAJlJnus6qp9efbvwu7Y9GQeW3baII8iJ4vUyxQHLttpkkkOT6G4F7Ydnn1NCNDC8IIJOkJAlcPTvLAheRd+3ae9jcPALA/Xkzrl69UpW5EuD1SlXZqNp3TBOkozDERuzCr/y3/fv+y3/5z7CsIubm5uDxtOKjj7aILSwL3DGmfa0vvvgE29uHQNdOTfj883v47ndZWRH3fS0L5AWVJIErdAuAexaN2N1C2wAa1iOsv99XXav+M69XrE4+bnarATuf7lkfiVv/3Bt9Xs/Y6H6/Kbssiw37n/sZMnb+WvWsjb4jCAJ5D3w+ibufaVrcJNLoOdezezwCTBN17yq1j+2a4K9Vbyv+fgD9jez9ov9vWRY3EDd6hvWfSRKzez2a2w5f1d/rx5XG/V0gn/t8Ire4YzJt0lf+Te1+/P35d7VRf6d/Z1lWAzsIDWtP1r+r9d+pH5Pr3+9/Tfva7ux27mwiRjp8uJXs9OyJxO2D8Xol9PWFyepDUXSy9QaYKoPbYarrJlpbA8T5z478PKQjFgqaUzOqdk8NAPUVAUClAhhVcbkjR1pIpJtlWY4fz25+v8xFxCmKxgVmNGJvawsgFvMhHo/j6NGj2LeviyvYWSjoXDmdPXviKBZ1KEoelkX9jACgqjL2728ikW72pO0+cgsEZHR1hTj2I0doQMzRoy1kN6HrJtrbQ+Rota8vAr+fvkTFoo7jx2lgEPPf1lbI5bLO+bTuu6+NRIuZJqtu4fYThkIedHSESXTuV7G7I2o1zURnZ4jsHAcHo9wAUCwanArO7t1xwl4q6Zxf6PjxNhSLtfvZg4j72CoS8aK9Pfhr2Y8coeyqyqJb3SclO3Y0weMRCXu5bHBljHbvjpH+UCzqnB/0xIk2EuZvmhaCQZm4EpqavNWjPcpeHwB26FAL2cWVyyru3XsPf/qnf4k/+ZO/wJtvvovdu2Pc4FwuG+RagiBg584mMjYwdup/PnGildyPFfKVSSBcLOZDaytlz+c1HDtG2Q8ebCZ2UFUDvb1hMhnYvkX3iYCqGqRKiygK2LEjyrHXq82cONFGnrNdUNYdSZpI+NHczNu9vtbl/v0Jwl6pMHb3xLl/P0u6t9lteTL38bgkiRgYaGoYJfrbtq+tz25gIEpWfswPEcSVKyuYmspCkgR873u7uLDnwcEmTE1lcevWJra3Kzh3roOTC2tq8sHnE3Hp0goWF/NoaQngO9/Zya2mduxgunyjo9solw1cvDjIhWLv3duFl156A5WKOyLNwJEjW3jxxecBsEm4oyOITz9dwfR0FpIk4XvfG+KOHHbsaML4eBrDw5tIpys4f74Tx45R9ljMB69XxOXLjL2tLYjvfGeIrPh5dhPf+tYA8f0BLLx9a6uEuTkLk5O/hK67Zc5M7Nu3jO9//7tIJgO4dGkV09NZeL0iXnxxF8Jhyj40FMPoaBq3bzNJsYce6uIKriYSfkiSgMuXV7G0pKCtLYDvfGeIrIht9qtX1zE+noaqmvjWtwZJ2DrAwvxTqSKuX1/HykoOx4934Yknekmf8fkktLUx9pkZdizz4otDCAZ59rt3t3H79iay2QoeeaSLkwtLJPywLAtXrqxhaUlBR0cQL7ywk7CLooDBwSiuXl3D+HgammbhhRd2ksEGgOP4v349hZWVPO6/vwuPPdZTp3wvo7nZj0uXVjE7m4PfL+N739vFHYcPDTVhZGQLX365hVxOxeOP9+DAATrZtbQEYJomLl9exfJyAV1d4Sp77X6MPYLPPmN2NwzGXi/T1tsbwcpKATdupLC6msfp0914+OFujj2R8OLSpVXMzeUQDMp48cXdXADHrl0x3L69iTt3tqAoKp54opcbwO1J5fLlVaysFPD++/+Ejz7yYmZmJ6anW/H++1dhmnP43vcexpUr65iYYOzf+c4QFzjT3x/F0pKCmzcZ+4MP9nIRw8GgB7GYz2EPhTx48cXd8Pko+9BQE4aHtzAyslnV6O3jFiysgrqOK1fWsLpaQG9vBN/8JpXvkiQRfX1hXL686gQi/bt/x7MPDESxsKDg888Z+/nzvXjwQcoeCnkQjfpw6dIy5ufzCIdtdroFHBqK4tatTdy9uwVF0fHMM/1c5Gp7O0sf+eyzNayuFjE4GMXFi4MN2CO4fHkVk5OM/bvfHSKV0QG2CJyby2H//trC/Xfx2X1tJ7vh4U0S1ajrJn72szl4PBK6u8OQJAFLSwUcONBMXrQbN9adgIbmZj8WFhT09NCoxmy2grffnkdzM4ukLJVYuHx9Ac133lmAomjo6YkgFPJgdjaH/fsTZHWTyUgYHr6FdHocqhqCKG6gr+8L/NM//V9IJBIO++uvz8Lns9mZT/LAgQRhv3p1DdPTefT2RhCPM/a+vjCZWDKZCt5+ew6trQF0dIRRLOooFnXiZAdYPcBCQXfY5+by2L8/QSbFqaksrl1bR39/K/L5WWxvj0JVwxDFbQwNDePv//6vkUi04PXXZxAIsNWtIAhYWSlg/37KfvnyKhYW8ujpYeyLi4oToWm3dLqMX/xiocoeckLv6yMD3357HuWygZ6eCAIBGXNzeRw4QANiJiYyuHlzA11dIfh8GgoFpvLgDhBQVQOvvz6LYNBembPEZvdLB6C66FGI3e0oR7ttbpbw7ruLaGsLoqMjBEXRoWkmV7j0rbfmoKoWenrCCAQkzM/nceBAgkyKY2NpfP75Brq7w/D5NCiKiFiMBghUKgbeeGMOoZDsBPmsr5e4yeCTT1awvMwG0ljMi/l5JqHm9nNtbBTx3ntLSCZtdlaB2p3LZVkW3nhjDppmoreX7a7n51mfcbOzRcEWurtD8HoZezzuJ9F25bKON96YQyTiRVdXGKbJgoXqd1G//OUy1taK6O2NoKmpMfv6ehHvv79UXTCk8NZbk1BVW3xbQKXSirW162hu3g1ARE+Pza7gwIFmMqHfubOFO3e2HfZczt7p1NhLJR1vvDGLaNRmt7CxUeYmso8+WsLGRhk9PSyCen4+j127aFDJykoBH320hPb2EDo6Qshm2a6rp6e2cDNNC6+/PgtBYKH8dimdAwcSZGIZHmaTU3d3GF6vhkwG3GlUscjYYzEfurrCMAwL29tlTrPzgw+WsLlZRm8vY5+by2P37hiZ0JeWFHz88Qo6OoJobw86vmF3wJlpWnjttVmIoptd4di/+GIDo6MZ3H9/beH+bwEqrnbzZops7e/dYxqA9irF75eRTldIbTKmhVir9yaKLGG5Xsbn8uU1R8IHgBM15z6+2N4uOatSgO0sRVHAtWtUVufq1XV8+9t/hv/0n17EuXNb+O53k/iP//E/Y+fOmsDxnTtbKJUMwr61VSbOcV03nSrSADsfD4dlXL5M73f58qojB2Szj41liErBxkYJi4sKYbcsCzdvUqmzq1eZPBnLb3oaf/VX/wsuXFDxd3+3Hx9//A84dGg/bt/eRKViOL60QEDGxkaZOOxV1cDISC3oR5IEhEIyrlyh7Jcu8ez37m2TJN719SJRbfF6JViWxdVVu3p1vSopxvxW0agX16+vk+/YupQ1dglrayWiTqGqTFvU7jM2e71s1eXLq1XpLvYSRyIejIxsk+OZ5WUFKytFJ/HW65Wg67w+4bVr647dbfZr1+jvu3WLSWK57b66WiQyTNiSwAAAIABJREFUbeWyjnv30i52Jv9UL1d36RIrwmmzh8Me3LmzRY6dl5YUpFJFYndVNbiALFsWThAYeyTi4d6Jzz/fIL6iYFDG4qJCZNpKJR2jo2lXn2GSYY36TDjM2Gdnx1Eq0d0MAKRSQczOLjmTpNfLqljUy7TduJGqY+f7zI0brGSXzR4IyFhczGNrq6ZCYqcQ2cFWsizC75cavqtMlqvWZ778kmqlzs7mkE5XnEnS55NQLGqkBifr/6wGp80ejXpx9Sq93/Xra5Blgdh9bi5PZNoURXMk7Wx2r1fClSvUDozd40xakYgXw8NbRBmKpQZRdkXRMDZG5cJY/dCvkRD077tVKgZ0vTbZpVIlTlbH75eIwGi5bHDqGwAvcVQoaJxD1jAsct5dH10IsEmjXnrM9r00N3fgzJkLOHnyUei6QDrF5mYZfj99VF6viI2NMrmO+/cC7EivXmrHTr6l7GbdRF3mHPter9RAEJueo8dibThz5iJefPEFBAKBKnuJO37yelnhUvd1GrHXK6/UF8Nl7PT5bG7Sgp42e72MVL1CR6PPNjfL3BGOxyMQ+aRiUecCBJjdKXuxqDe0u/t7W1tleL30Oz6fhM1NKsX0m7BvbVU4dlkWyLUYOy8xV2/3YpFG39XY3QukMhccxBZlVB6vEXt9H02n+WvJskiinQsFjQtuYMVGKXuppDvsfX07EQzSiRwAwuE8mpvpsTNblNUmV9O0OJWVRuyZTLlhQNHWVq3/FQoa198b2b2RrTTNJBwbG7xMm98vkffLMKyGPi+eXeWC0AQB5N1RFI2rU2eLVPw6dlU1iKRho/fL75eItJqmmb8Xfx3wNZ7s6iV5WJIqfQDFok7OmoNBmUtPMAyTS9jt6gpxD8Dnk8hxRldXmBsgikWdSwpNJPzkpbUsC7GYjwzYu3bFoCiUvVw2sHNn7VrhsIdjZ4Ez9Py7s5Nn9/slkmDa0xPhIuuKRZ07ckskfBx7PO4jv5sl2NIXQVVNwh6JeLhkYDtwxt3a24OcJJXfLxFZsb6+CDcIFgoaBgd/PXu9r2DnTl6mTdNMcuQbjXq5F1bTTM5XlUwGOYk5v18mOZf9/VHuO0wth7LH435yamGaFpcgvGNHE8eu6xY58m1q8nILEVU1OB9hMslLsPn9MgkMGhyMcqk2+bzG+XISiQDHnkhQ9oGBJm7gNwyLJCXHYj7O7qpqcIIM7kCQrq6dGBgoQhBqu+BgcBrPP38AhkHtkM+rJKFaFAXEYr5fy97fH+UmEcsCCVBJJPwce6VikLzMevYar0zSb3bujHGTcD5Pg61kWeQkD03T4vx6fX0Rjl0QqEBHc7Ofi1Itl3V0d9M+09LCS8yFQnSMGhpq4iZFRdGI3b1eqaE83u/SvrY+u/b2IPH3MPkhFQsLeeRyKjTN4upfCYKAlhY/7t3bRiZTQalkIBr14pln+snE2dERwtxcDuvrJeTzKiwLePjhLpLM6vGI8HhEZ6uuqsyXce5cJ5kMurpCuHs3ja2tCra3c4hGw3j22X6SkxWL+ZDNVrC4qDgisqz+FWVvbmbs29tllMs1dvdqrasrhJmZLNbXS1AUxv7oo91kcLaPXKemssjlKqhUTAwMRHHmTEcD9m2HvamJsbt9VbGYD5kMY8/nVei6Va3TVfMDCIKARMJXZa+gUjEQi/lw4UI9exjT01mkUqWqeLCAxx6j9d68XgmiCIddVRn76dP17OGq3cvY3lYQi0W4+oaJhB9bW2UsLRWQz6swDAsnTyaJb1YQBMTjPoyObiOdrqBU0pFIBHDhQh9ZsHR1hTA1lcX6erE6CQl44oluNDfX2H0+CYIATE3lkM8z9h07mvDAA+2c3UdGtrG1VUY6zdife46yNzf7sbHB2BWFsZ86lcTAQI3dPqYfG8sgk2F9prk5gCef7K1jD2NiIoONDWZ3QQCeeKKXLA78fhmGYWJ2Nuf09127Yjhxoq1hn9neZnaPx6N4/vkBMum2tPiRSpWwvFxjP326g9OqZOxpZDIVlMsGWlsDeOKJXnLq0t0dwthYBhsbLC/w6NFTGBpagN8/jsHBdfzFX5zGX/7l/wZdNzE7m0cuV4Gmmdi9O44TJ2hwV2dnsMpewfa2gkQiiuee6ye+qtbWAFZXC1hdLRJ2t3/T1tlkdmfsyWQQjz/eQ3b/rFwUY7dPNZ5+uo8skIJBD1TVwNwcY9d1E/v2JbjgrmSSleKx7d7SEsVzzw2QHXQyGcTKSgErKwVnXDt7toMEpkmSgGCQuW1s9o6OIB59tJ49gtHRtJOXJ0kCLlzoJxNXKORBuWxgfr5m9/37m4lIBONi9Q/dUcn/5rNztfojS4CtZC3LQj6vQxDArXYAtkNiupdMry0clrljCUliL5qtJ2iXp2h0LUliCeeaZqCpycsdZfl8crX8j4ZSyYTfL3GrbZvdMMzq7lRouNoJhRgrq96gOyVz3M0eJJjivgZZFrnISACOTyibZcEI7vP3GrvklP8plUz4fDK3Q7P9AzX2xmLAzO7M31Au2+x87k4kUmOXJDS0O/NNANks0wdtavJyu2y7fFOxaDj+0PqIOUEQiN0FobGAtF2+yK6AwEoj8XlvkYgHqmpW7S40tHs47IUoArkcO2KMxRqxM8HyUompyPv9vIC5mz2X+2p2286KoqFSMRr2GVm2+zvTGvV4xK8QdGbXz+cZ+1fZ3euVnOCiQEDidjl2H2WVRDQIQmPx63DY4xxdqqpB/Fs1dsZaqegoFjX4/V789V9/H2+99fd4/fW/x5/92QtVO9TY7ara9c3vl6s+MVYdJRCQueNWUWR21zQD2azm/Jb65u4zzO782MDeTdnR6/R4xIaiyG67NxJ/B9h4yPo7qzASCPDjmigK1T5qVJPev0q422138yvtHg7LVd1StVrmjB+To1EvLIu9X5YFTvydsfN2/l3a13Zn99OfzpD8uI2NEn7+8wXEYj4kEj74/RImJzPYsydBMv1feWUKADsqikaZoGsuR4/Bbt3axMjIFhIJH+JxPzweEWNjadx3X6vzcquqgVdemUYo5EEi4Uco5MHyMi+r84tfzCOdriAe90MUVQQCTPPQHfG3tlbAu+8uIh73O+wTExns20dldV55ZZqw53IqikWq3n7zZgpjY2nE437E437Isojx8TSOHq2xVyoGXnllCuFwjX1xsYDmZj9Zzf/85/PIZin74qJCdsvLywo++GCJsI+PZ7F/P5Vpe/nlKYhijT2bVbmqFNeurWFiIot43Oew19u9XNbxyisziERq7AsLCtra/CTy7O2355DPq4jHfRBFFX5/EMvLCon4W1zM48MPlx12n0/C+HgaBw+2OAOFZVl4+eUpeDwsqjAS8SKTqe3k7fbZZ2uYnqbs4+MZHD1ak5grFnW8+uo0IhEvEgkfgkEP5udZmoJ7Nf/mm7NQFK16ZKzC5wtgZUXBnj019rm5HD7+eAWJhM/FniESc5Zl4aWXJuH1SoS9XmLuypVVzMzknD4jSSLGx7Nk91AoaPjpT2cQjdbYZ2dznMTcG2/MolTSHXav14+1tSKJ+JuZyeLy5VXE4z7nyG90NE0k5kzTwksvTcHnq7HbfjF3xN+nn65gfj7vsIsiU8Bx7x4URcNrr1H2mZkcentpFPZrr82gUjEcdo+H7UDdEnMTE2lcubKORIK9K16vhLGxDI4cqcm0mSbrM8x9wNg3N0ucxNzHHy9jaUlx2Nmun0rM5XIqXn99Bk1NjD0QYKpJ9RJzP/3pDFTVrF5HhSz7sbFRIkeGY2NpXL/eiL3VmcwMw6yyy1V2D1KpEjwequn70UdLWFkpIJGosU9PU4m5TKaMN9+cQ1OTz2Gfmspix44mcjr0L/8yA103SX/7t52dq21t0bpLd+7wMj5+v4zR0VrEVbGoI5utkNWo1ytxNblmZrLcDqZU0kngwtKSwjn/7ahNd1tbozI+oihgY6NM/EkjI9vcDsbnkzA2VpMLUxQN2SytIeXzSZwEFpMgouzFok7qUc3P5zmfnV2Esp69Pk9sfb1I/Bp37zZiF4kdcjmVk09i7FTOaG5O4coYlUo6caDPzuY4RZNIxIN79341uyQJXL0+d5Sl3TwekRSXzGZVzjfm80lYXKTsCwt5bgdTKGhELmx6OsvtZhtJMa2vU0k7VuuNBoKwKMt6mTYBMzNULqzeR8NkpGjF9t+EfXIyA4+HsrOIUxrRmErVs4scuzvK0m6CwPql3ewjY3cLBHgJrMVFpU6RQ0A+rxJxgtHRNLdzCIdZtKzd7BQC9+5LlkWuTuLERIbrM5ZlEUm0ra1yA3aZkx5bWioQLkFg8nhuf+bo6Db3TrBo2Rq7YZjY2vpN2Hm7G4ZJ6mYyuTLqIwwGZdKvACYLV8+eyah1UmfphsLd7j6jaWY1YO5fr6LytZ3sZJlK09hHd+6maSYikdqK2eMRG0qB1b/EPh8vc2NX0LYbW1XxEWz1HbPR9tzjEYkkTzTq5QIXNM0kK2avV2woZ1R/VMFknfhIMPeAEA7L3GSn62ZDbdH65vVKZNKKRDyck72e3eeTGnZmd5L+V7FLUj27h4sW03WT0+f8KnZ3i0S8XNScpllkMPtN2ev/DTBpK/c9IxEP59TXdavhhMuz08+YHei1mCKGm13m+oxlWdzE1qiPiiJIwdPGtjK5I7xG16pnD4Vkrs8wJZJ6u9P7MXY+aplnF8lvjEb5PqrrJrGVKAoNr1X/XG3fJWVHA3ah7ju83Rs9Z0kSiA3Zce+vtrsoCr9RnwkEZK7PWBbIe/9V7Py41ohdJBxNTV4uqIm5AXyuv2nM/ru0r+1kt38/TUw8dKgZoig4D9MwTPh8EolasktcuFcf+bzGyTWdOpVEoaA7A2+5rDvJoXZLJoNoafE7E6wdulyvxlIvxVQs6lyy+OHDLbAsOOz2xONWivd6JS66KZ9XOYmvU6eSUJQae6VicGWMOjvDSCR8hF1VefbDhym7omg4eJAmXB892grThLM40HUT4bCHHAv7fEyCy50vl89rJIm0xq4R9t7eCDmu6e4OIx6vLQ4Yu8kFGxw+3ErYCwUdhw/z7LpuEvamJi+JqGVlh6gkmqKonCycXTfOZi+VDAwMRMhA0tcXcXxVNruum0TtnbG3kOhcJgtHVU+OH2+DqtbYbd+lOyowGJTR2xtx2C3LgqLo3HNm7G7JLQM7dtCSNAMD0eqEV2M3DIsLlDh0iMpIFQoaOZZj7ElUKgZhj8f95IiPle6pSWAxdo1jP3mSspdKOoaGmsiEMTQUQzDoIeymCY6LyXfR/l4vrXb//UmUSjV2VTXQ0uInVSSiUS96esJOf7csViuwvr+fONFKdqClko5du2Jk8GeJ6JLDbo8RbplAQRA4+S5F0bhnc/JkEqWSTtiTySAJXovFfOjuDhG7FwoaTp2i7MeOtRG7F4s69uyhJc727IlXNYtr7KIo4sCB2nG8KArYty/xe6lW/gcz2QmC8N8FQUgJgjDyFf8vCILwd4IgTAmC8KUgCPf9quudPUsLQnq9Ep57rh+rqwUMD28glSrh4sVBzhn/8MNdiES8uH17E/fubePYsRbs3EnDp1tbg3j44S5MTmarCb8CLlzo5Ri+8Y1BlEo6hoc3MDeXw1NP9XLVgQ8dasHu3XGMjGxhYkJBMhnE6dO0EKLPJ+Eb3+jHygpj394u4xvfGOR2oY8+2o1wmCmej46mceJEG6eM0t4ewrlzHZiYyOL27U0IAvDUUz0N2AcI+9NP93FHHEeOtDpyUxMTCrq7Qzh1ihag9PtlPPdcHxYXFQwPbyCdruDixQFudfjYYz0IBmWH/eTJVq7+VUdHCA8+2OmwyzLw9NN95DuCIOCb3xxEPq9ieHgD8/M5XLjQxzn277uvFYODUYyMbGJyUkFvb5jTcQwGZTz7bB8WF/MO+ze+wbM//ngPfD4Rt29vYmwsjfvvb+dk4bq7wzh9uhPj44zd5xPw5JO0zwiCgIsXB5FOVzA8vIHFxTwuXOjjdtTHj7dhYCBStXseAwNRbkEWDMq4cKEPCws5DA9vIJ9XcfHiIBcw8vTTffB4gNu3NzExkcXp0x1cVfeenghOnUpibIxJ0fn9Eh57jPYZURTwjW/0u9gVPPtsH3dMdfJkO7q7g7hzZwuTk3ns2BHlBt1w2IMLF/owP8/YFUXDxYsDDdklqcb+4IOdXOpBf38UJ0+2YnSUsYdCMh57jBa6FUUB3/zmgMO+vFzAc8/1ccf9p061o6Mj5LAPDTVxE2Ik4sWFC72Ym2PspZKO55/vR327cIFJ092+vYnJySzOn+/g0lV27GDRrDZ7OOzFI4/QpHhJEnHx4iA2N0sYHt7AykoBzz/fz+0Sz5zpRDIZwJ07m5iczGPv3jin+dvU5MNTT9XYy2UDzz03wLE//XQfLIuJLkxOZvHwwzSqGGCT8JEjzY6MXizm44ojy7KIixd3IJVi7GtrBXzzmwPc7v/BBztx5iQ9nv5d2h9MgMrf/M3fpAH8dwDf/MEPfvD/Nvj/CwCeBnAKwC0Af/+DH/zgH93fcQeoXL68QgZLVTXw0ktTaGryobOTidiOjWWcHZ/dPvyQOVZ7esJobQ1gbk5Bc7OPBGZsbBTxs5/NoaODySfpuonV1RInCfTqq1MwTQtdXWE0NfkwNpbGnj1x0hG//HITX3zBpJ/8fg2qylZp7sGyUjHw4x9PIRZj7D4fC1CpZ3///UWsrRVd7Hm0tNDAjPX1It5+e6Eq4xOCrltYXy9xkkCvvDINy6Lse/fSoJLbtzdx69amw16pyAAsEiBQLut4+eVpJBI+dHQw9slJVk/MPXi9994iNjZK6O5m7LOzeS4wY3W1gF/8Yt5hV1UL6+s0uMGyLPzkJ9OONFFTkw+jo2ns20fZv/hiA19+uYXu7gh8Pg3FIktZcGtolkqsVlgi4XfYp6ayOHiQsr/zzgK2tiro7g6jpSWAmRm+buHSkoL33ltAZydjL5dNbG7SAAE72MXrFdHZGXZC6/fvp3ULb95MYWRku2p3HYWCyAU3FIs6fvKTKTQ3M2k1WRarAQKU/ec/n0c6raK7O4zmZh+mp3Po7qZBJaxG2yK6usJobw+iXNarNehq7KbJ7E7ZMzhwgErMXb++hrGxbFXqjLF7vbR+nqJoeOWVKbS01NhnZnKc3d96aw65nFYt7unD1FS2KjFXY5+by+Gjj1bQ1RVCe3uw6pdXSfqIO9ilszNcLbfDs1+9uoaJiYzDns8L8PslknKUz6t49dVpR9JOFAXMzeW5E48332QBUt3d7BRlcjKHgQF6SjE9ncHHH684di8W7WC5GjsLGJlEICA77GNjaRw82EwWw5cvrzjP1ufTkcmw42L3BJvNVvAv/zLjsNt+0vpJ8Wc/m0WxqDvsExMZ7NxJg0omJzO4dGkN3d2MPZ/XUCjoJM9T10289NIkQiHGbtezq2eXKp+iK3Ebpvek89kfdYCKZVmfANj+FV/5BoB/tli7CiAmCELHV315ZGSb+NW+/HKLlKKQJBGVikFqd2kaq1TsXklHIh7cvFmrrwQwqalw2OO8eH4/kwRyq6OsrxeJqoQoshejkSSVe8cUCjHHuNs3Ze/AbHZZFlEs6qRmmqoamJykgTPhsIeT+PrsszWEw7LD7vMxDUP3kd7KilJV86ixe72N2Dfq2GVOHurWrQ1SbkmWReTzKnFoVypGtWo6tXv9/Xi7M3b30dLSkoLt7YozOdi+lhs36LVu36bs4TDP/sUXG5BlkbBnsyrm52vspZLO1e5iMlLU7teurTtyTQALppidzZPjmYUFlkdpD7CiKECWRXzxBb3W7du0Vl04zGSk3O3mzRS83hq7xyMik1GJ1FmxqGNurlYzTRBY/le93W12u7E6iVly7Dw3l+PYRZHZ0N2+/HKb+E/ra68x9nXiG/J4RGxvl0mgmKJomJ/POQtHxu7BtWuU3ZYns1sgIGNiIkv891NTTOrPZrfL2NTXb7xzZ4tMRo1qDV6/vg6/v8bu9UrY2Chjba3GnsupWFhQnP4uCExirp79xo0NYnfGniH+e1bh2yDslgXSly3Lwt271O6RiAe3btFnc/36OgIBmbCvrxeJTFsmU8HSUoHYPRTy4OpVyn7zZorY3d5cuH2j4+MZVCqGM7FJElOOcgcGwTIh6fcAka+q8tu2P6Z6dl0AFl3/Xqp+xuv/AFhdXcf4eC1naHR0C+k0jerRdRP37pXh9bKOUS4bWFtLccdGkiRgcrL27/n5dRQKNApCUXTcuzeJ5mbWORcXi9jY2ESxWK8MkkFfXy3ycWlpjQQJrK+nUCoZmJio5bXZ7O5VraaZuHtXhSiyVV6xqGN9nWeX5Xr2NZTL1CnM2CXE44x9bq6Azc1tFIv0OMGysujpcUecrpGV7/p6CuUyY7dZx8dZ9Qg3u6qauHtXg2VFnfuvr6e4IJJ0WsDkZG3SX1jg2QsFHffuyYjF2Is1Pa1gezuNUqk+ECKLrq4a+/LyOtktra+nUKkYmJysvaDj45vY2qLslYqBu3d16DrbeefzGlKpDRQKlD2TETA5WWNdXFxFpVKv7KJjdFRyAiEmJhRsbaVRKNTYLcvC+HgOyWRtsFxeXiOnA+vrqepip8Y+MbGBrS0aJVouGxgZMVAus91rNqthfX2Ds3suJ2Jysta/FxdXoaqN2CedSXd0NIft7RwKhZpNLcvC2Fgera21CXZ5eY0sDNbXU9B1E5OTNYbJyQ1sb9fLTxkYGTFRLDL2TEZFKrXJ2T2f59nrAziKRdZn7N999y5jVxTKPjqqIJFgx2emaWF5eZ3k79bYa59NT6eQTtcrNRm4e9dCPs92UdvbKjY2NrixoViUMDlZ+9ulpVUuYKRYNDA6OuFwjIxksL2tIJ+vt7uCWIwthtnJU4qzu2VZHHs2Wy+NqOPuXSCbZeybmxWkUikUi9QtwNjdi85VrkZgsahjdFR2OEZGMkinKbtpWrh3r4hIhG1CBOholVdhIoA4f6L6W7U/psnut2p79vRg795dzr9jsW786EeTJMIqn1fxxBN7SXL5rVvsaMCdLzc42IShoZqPIpdrclZBdovHDZw8uc+ZoPr6DIyN3SOTj6JoeOihHqIecuiQ7KQfrK+n0NrainDYg927h5zvRCKdePnlKXK0lM+rePzxvWTlNzwswDQp+65dMQwN1XwUp09H8fnnKbKLSiRMHD9eY+/tNTAxcZesYvN5DQ8/3EeCYg4elKqV3Wvs0agXu3btdL4TDHbg1VenCXsup+HRR/eSndXwMABYJNdv794EhoZq5/z33x/G8PAWeWk1zcTx43udv+vp0TE1NUp2Pvm8hkcf7SPqIQcOSNjaKldTDlJoaWlFPO7D0FBNgNvvb3dyx9x2f+SR/c5ztSwLw8O0wGSlYuDAgWYMDdUOHk6eDOPOnS0ySRmGhfvuq7F3demYnb1H7JLPa3j88QFyJH/ggIh0ukLYm5spu8eTxBtvzJH+zvrfPqffMnaLLFgqFQOHD1P2EyeY6omb3TSBo0f3Ov/u7NQwPz9KVvO5nIonnthBgmL27xecCuOMvQWtrQEMDQ0635GkNrz11hzp24WCjvPn9zr91jQtDA8LJFK6VDJw7FgrhoZqvtdjxwIYH8847HYdyyNHauwdHRqWlu6R++VyKp58cifxAe7bJzjasuvrKTQ3t6C9PYihodoobFkteOedRWKHYlHHgw/uc05KTNPC7ds0YrFU0nH8eBJDQzXf6333BTA1lXH+jp1MiTh0aI/znWRSxcrKaN37peLJJ4fIEeXu3YKjz2qzd3SEMDTU73zHMFrw/vuLpP8VizrOnt3vLAwHB03cuUOjakslHadOtWNoqOZ7PXrUj5mZLGGXZREHD9bYW1vLSKXGObs/9dQukossF3dBsMqgy5/fvv3BHGP+Bm0ZgNsr3l39rGG7cIEGLrS2BnDqVBvS6QpmZnLIZCo4e7aTU1F57rl+mCYwN5fH8jJLpH7oIeoUPnq0FQMDUayvFzEzk0WppOPpp/u4KryPP94DRdEwM5PDxgYrr1LvG3v88d5q0raClZUSRJEPumhvD+HkyaTDns2qOHeui1PEeOaZPui6hbm5HFZWCmhpCXCBOseOtaGnJ4LVVcZeLhu4cKG/rvqxhMcf74WiaJidzWFzs4SDBxNkogOYZJSt6r66WoQsCxx7V1cYx4+3YXu75LA/9FAnF+zy7LOUvb09iDNnaLDLyZPt6OoKYXW1gJmZHMplA88+28/VQnv88W7k8zX2w4ebyUQHAE8+2Qu/X8LCQh6rqyV4vSKeeoqy9/REcOxYK7a2GHsup+KRR3rIAkYQBDzzTD8qFcNh7+wMcdFpp061o7MzBCW7jXx2DYaucezBoIxHHulGpVxCPr2CYiGPI0dauECdp57qg98vIp9JoVLaht8v4sknKXt/fxRHj7Zgc7OE2dlcdYHRTRZogiDg2WcZ++xsDqurjP3kSWr3Bx5oR3s7k5Kam8tB00w8+yy9XyjkwcMPdyGXY0fUW1slHDvWSiY6gPVtWRYduwcCMp54ggbqDA424dChGns+r+Gxx7rJAk0UBTzzTB/KZQMzM1msrharQUY0UOfs2U60tQUcdl238Oyz/eQ74bAH5893IZtl7NvbZRw/3sYFu7CAGAHz83msrpYRCnm4QJ1du+I4cCDhsCuKhscf7yGTA5P96kWppDvs/f1RrnjruXOdaGkJYHmZsRsGzx6NenHuXCcyGTY2pNMVnDqV5IJdLlzogyjiV7Lv2RPH3r1xpFJFzMzkUChoePLJnrpK5SKefroPxSJ7v9bXixgYiHJRqefPd6E54Uc+s4l8Zg2AybHHYn6cOdOJcqmAfHoFpVIBDzzQzml26r5nAOtfn2f3x7SzewPA/yEIwo8B3A8ga1lWwyNMAFVdS/qZLUjMfFYWlwwMsNWvphkIBmWIIltRappJVr+maSGfV6tATRXYAAAgAElEQVSSTx6u4oH7WpYFpzxKLqdyZe9V1UCppFelt0SoqlmVy6ITGfMHWs6OhWlD1v9mJnVkn7vbdcfq2RVFq+blsXBrdi36YufzqlMhmiXiahx7pWKgWNQdGaVKhbHXRz4ydsHFztuK2dlwSvjk80wZXnKdRhoGC3P2eiXnfL/Rtdzsoigil9OcFb2bvVSy5apElMsGKhWdTGSWZSGX0yCKTPrIfu48u+bYXZLY/QyDsouChm89+hmK92+iXBGRiInQAyFY2EGudXDnFPZ3XkMmJyIaMiEHN2FYHXAnXgZ9efz7i58imy1je3MTAzs2oXnbAdBgl2xWhSiKCIXkqkwez273kVDIQ/qMe3A2DAv5vAaPh9ld0wxOqJnZnfX3cJjZnf2bt3tN4kxCqWSgUjHIRMbsztiDQZu98ftlp7KwPqNWw9epq0JRtGoOLWNvFMZu24aNDWhoq0qFsTJ5v5r0lpud9RG2+wsGZeff9a1Y1B12URScPtuI3etl+WmqyuxeL1jOrm857PXC6wCqdmYpS8UikxRUVaNut85YJYn1GdNEQ3bWv9m4ZvcZw7CIIIJHruC7T1+Bks9A1QQ0JzzQfHFYoBuHE/vu4djAHWTyAprCJqRgBgboQlFACQD/PH7b9gezsxME4UcAPgOwWxCEJUEQ/ldBEP6DIAj/ofqVtwHMAJgC8A8A/vdfdb13310k/15czGN0NI143Ie2tiCamvy4dWuDlPixLAvvvbcIv19GW1sALS0BaJqBjz6iG8jr19exvV1Bc3MAbW1McPrjj1eI87VUYhWGIxEPkskgEgk/VlcLnKLEe+8xzra2AOJxVqmhnn1+Po/x8QzicX+V3YvPP9/A9jbPHgjISCaDaG0NQFUN/PKXK+RaV6+uIZOpoLnZ77D/8pfLhL1YZBWGo1EvkslgtYhtntTIstlFUUBrawCJhA+yLOCddyj7zEwWExNZJBKUPZOp+S0ty8L77y8hGPQ4+Ynlso5PPqF2v3JlFbmc6rCHQh589NEySeJVFA2ffbaGpiZv1e4+zM3lSCASALz77gJEkaWRfBX71FTWkfhqawsiFvPhxo11Eohkmow9FKqxF4saPvmE2l2qXAasAoLhKBLNYUAKQq58AFgux4aZg6Reg+yNoKUlBG8gAtGYgaBPkmvJlXcASGiKRRCKBAFI1c9qbWIig7m5HBIJn2P3a9dSZHFgGCY+/HAZoZCn2t/9yOdVrn7jJ5+soFTS0drqRzIZRDDowfvvL5EAsGxWxc2bKTQ1edHWFkQ87sPkZBazs1RZ4513FuHxCNX+zjRM3313gXzn3r00FhbySCR8SCaDiEa9+OyzNTLBGoaJjz5aQjjsQVsb66O5nMrVaPvkkxVUKkwk2mZ/771FEgCWTpfxxRcbLnY/JiYyRLGlxi5Wi556IAi199duIyNbWFpSkEj4HfYrV1bJBKvrJn75y+VqseAgWloCSKcrXIDKRx8tQ1UZe1tboCH75mYJt25tIhbzO3303r00p+Dz3nuL8HrF6rvKFtIffLBEvnP79iZWVthpVjIZRCTiweXLqyQQSdNMfPrpCiIRj8O+uVnCzZuUXSp/CEBDOBpFojkCS/BDrrxLviMYG5C025B9YbS0hODxRyDp9yDo9L2Xy+8CIq9V+tu2P5jJzrKsP7Usq8OyLI9lWd2WZf2TZVn/zbKs/1b9f8uyrO9blrXDsqyDlmXd/FXXy2YrJGppfDzDyYUFg3K1HDxrdtVud5MkkUyIAKsg3KhEh7ve1vKywql9NJIEqpfCYbI6FTKAT0zw7H6/hKmp2rUURePYZbkRO1//qlw2iOTW4mKeKLgAqFYrr2evcOzpdIX87omJDPEbAcxX4WbP5TROPon5MCn76mqRy8Eplw1kMrXJZ34+z+UfhsMeUqT3q9jdkmkAm+zqj1s9HhEzM7Vr5XIqVzLJ4xFJBBsAiOY6INRJYFllCFbtWqI+B6vuOxDDEPWpumulAcH1GwWRffZr2GVZIJNPNquSgQxgx+/1MlKpVJFTsSiXdTLpT09nOdWMSISXx9veLpGdnigK2N6mtQZnZ3Pc6YAkCURyK52ucHZvJO2XSpW4XNpiUSc7lqmpLPdORCJejI1RubBMpvJr2efn81yQmCCARMHaVUnczefj2Tc2GrO7k8OnpjKc6H0kIpPFHRPUVjl2t7whwGTh6tktC4Rra6vcoESYjKWluv5ubQAC5RKsAmDVvifqE7BEetxqCWGI+rjrAxWw6Ljzu7Y/mMnu991YJfHaw21rC3AdzC4LQv+GN0l9tFowyEsxscrgtRc0kfBxk10j+aT6pFuAdR73gM12OpRdVU20tNSOMwIBuSF7fedlxxP17FRNndXYo9dRVYNTgm9UWcLvp3JhLS0BbkBVVVojMBCgzwpgu736Aa8xO30+LS1+7juqanD13hrZvf6z5mY/92JrGq0D5q4+7mZ35xwBgCUE6C6O0cMSai+7JTZDsOqOjawKLInmOVkC9Wk0+qy52cfJ4+m6RfoMY6d9xjR5uwcCngYybSLpW62tfk76qVzWuWTj38Tu8XgjdpPUi7SPXevZ6yf4QEDm2GVZJPdkSkeUne1ka8/GTh3i2elnTU0+TtrPNC00N9f6XyjEV/RoZPf6d9dmd3O0tga5Plou01qQ9ZJ6NXZ6/aYmLznhAdhk53537Eou7mYYvN0t8H2ULfZq1zLFFsCiiwVYZViS+xhTBoR//a4O+BpPdseP0zpa+/YlEAx6nI5RLjPldXdyqSyLOHKkxVn1mSbzHTzwAE3nO3OmvVoJnXUMu+AgnTAC6O2NODsWTTNhGBbuv586/0+dSjrn9bavot7JfvBgM/x+2RkA2CDiJwmasizi0KFmh932s9QHeZw504FyuVahWlE07NkTqxu4AujpCTs7Rfvl5WXT2h0/pO1XqZcnO3y4BV6v5LDbx2G9vbXABa9XwoEDzc4RG/PN6Th9mrKfPdtBqmsz9jjxmSSTQXR2hhy7q6oBQRBw333U+X/qVJKw53JqQyk3SRJc7Aba2wMk6MLrlbB/f4LYvVDQcfYs7TOG9wwEqwhY7FqCqcCQ95MX2ZK7YEodgFVdcVsqAAmm5yi5lu45CcHMVSdPC4KZg+5KuAWAo0dZ/3fb3RZBsJvfL2PfvrjL7iZKJR1nzlD2s2fbUSjUKrLn8xoOHKBJ+t3dYbS1BYjdPR6Jk2A7eTLp+FDtPlOvusMCNQSn39kJzO6gi0BAxp49PHt9nzlzph2KQtkPHUqQnWp/f9Q5OrfZ/X6JSwQ/caINuZzqYle59/nEiTaYpuWwl0pMStA96YdCHgwNxRx2XWfVx+vf1dOnOxw/ZI29mSxqBwaiiMd9DjsrPSRxdTqPHWt15Ops9gce4APAdN1yxjVWsDlCRCnCYQ927mwi7JWKgdOn6btjeE9DMPLOAk8w8zA8R8luz5KHALEJsKonKlYFEMIw5VrEJgQRhuc+dq1/ZfuDUVD5fTS3gkoyGeS27S0tPly7to6pKXbk8sILO7maYu3tQczO5vDFFxvIZCo4f76TUxDw+1l9pStX1rCwoCCZDOD55wc4Udju7jC++GId9+6loaomnn9+gChFAGwXlc1WcPVqCsvLORw71onz57sasPtx5co6pqfZkcu3v70DoRBl7+gIYWoqg+HhTeRyKs6d68C+fTy7LIu4cmUNi4sKOjpCeP75AW5X2NUVwuefpzA6moamWXj++X4kk/XsPqTTFVy/zthPnOjEgw9SdkkS0Nzsw5Urq5ieziEQ8OBb39rBrWK7ukKYnGTs+byG8+e7SLkdANUAEAGXL69jaUlBV1cIzz03wO1OOjtDuHGDlTIyDAvPPz/ARac1N/uxtVXCjRsbWF3N4/77u3D2bEcdu4hEwu+UuAkGZXzrW4MIBCh7f18AbeFbKOfG0Nq0iqefTiLeUifBJgZhmoCsfgZBX4IpdcMIPMMd9ZhCByTtJkRtDJZlQPdfBKSWumu1MH+HfhNGZQWeyAMwvadJEIssiziwuwijcB2iPosDexSce+ggRIkGNwz0+9Ec/Bzl3BiSsTU8faETsQQNIgiFPDAME1evMrv39kZw4UI/WeELgoDOziBu3EhhfDwNy7Jw8eIgt7NrbQ1gfb2I69dTWF3N4+zZHtx/f5LY3a6sffnyGmZnc2hq8uLb397J7U66u8O4e3cbd+5sQVF0PPFEDyePFw57oesGrl5dw/JyAQMDUTz1VB93hN3eHsS1a+vVY1cmH1YfCNLaGsDaWsHpM+fP93KRqx6PiGiU+brm5nKIxbz41rd2cOx2Ad6RkS0UizqefLKPlOIC4NRuvHp1HcvLBQwONuHJJ3s59o6OGrskMck59wQFsPFweVnBzZsbWFvL46GH+nDsGJ2gPB4R+3floWavQzZncfRAEafPHYYg0nFmx6APMc8NVPIT6GhJ4cKFbkSaqB0gNsEyy5DVqxCMFZjSThj+x+uO3wWYQhKSeg2iNgnLkqAHvglI9BlaYjsEfQGmd7/z2e+ioPK1nezef3+R7NpKJR0//vEk4nEmWxUKsTIYhw5RaZq3357D5mYZXV1MtmpxseAEfdhtcVHBO+/Mo6ODSRABcOSM7GZZFn70ownIsoTOzpBTzbpeVuf69TWMjKTR1RWC36/DMFgdOvdLWyho+PGPJ9HSwmSrAgEZIyPbOHy4hQw4b701h3S6gq4uJlu1sKBwkkDz8zm8995SVXIrCMuyMDubIxO6aTJ2r5ex207voaEmcvRx9eoaRkdr7LrugaJoZMepKBpeeqkm/eT3S7h7N43Dh1vIS/vGG7PIZitV6Sc/5ufziEZp7b/Z2Rw++GARnZ3M7qZpYW4uj/37a5OiaVr44Q8n4PfX2EdGtrF7d4zsAK9cWcXERBZdXSH4fBo0Ta6uZGvs+byKn/xkypFPstmPHKHscvl1tDSlsHuXjB2DQEiaginGANElxqtPwaN+DEvugCW3Q4AO0ViE6dnnfAeWAU/5h4AQgCV3AlIMkj4CQ95LdoCSegmiMQVL7kJW8SEcqEBAGZbsSgcwMgjqP0Ffrwd7donobKtANu/C9Byhk2Lpp2iNb2LPLhk7BoCgMAlTagbEmk3Hx9O4dGnV6e+qanD183TdxP/8n7b0E5NKGxnZ5mTaPv54GXNzrM6dLdNWL4+XyZTx6qszSCaZ3b1eCffusf7unhRfeWUaqmqgszOE5mY/pqZyTqCX3e7d28bVq2sOe6ViYHW1QFKAGPsEwmEPOjtDiEa9GBnZ5moufvjhEhYWFKfPFAoiDMMiO/2trRJee20GyWSwKnXGavEdOULZf/KTKei6ic7OEBIJPyYns5w83p07W7h2bd3p7+WyztX+U1UDP/zhJKJRLzo6QohEvLh7d4uTmHv//UUsLxccdjuB3i3tJxibCBg/xUA/6zPtLSXI+hhMz2HSZ7yll9HWnMOe3TIG+y0EhDGYYhcguirJq7ch6zdhyZ2wpHYIKEIwUrA8tdxnWCq8pR+yiVHuAMQw6++eA8S/LVXehWitwfQedz77o5YL+323qaks8d0MD29US+ewhyYIQlUl4f/n7k2D7TjOM803M6vq7HfDXXFxsVzsIIkdBBcQBFdREkmJpGzZbVv22I6YiImOjpjoP9PRE/NjYubHxERMTIdjJhwdtrolt2XLo57xUDZFUhJHXEESAHGxAxc7cIG7b+fcs1VVZs6PrHNOfZUHFEnJ3WpmhEK8haqs52QtWZnfm+/XCuz7vsTNmzT/VT7v4MwZqqA8cWKGzFE3hCBLS6355zt3VlAsBqQzyuVcHDtGrZ/On18kU4gmqewyiTOMjc0RJs4ZlNIk+F+rhbh5s0QeTmMjlWSfJQteHYdjZoayT0ysNBfPttgdi/3CBZs9KUgwC9gpexgqYnVWrYaYmFix2JM2UidOzJAlGSYnV5kIJW7eLKFaDRPstuXbxYtLpONOpx1LsdmO3fclzd2lyuDyLnk4Nc9D+GOkLuGfhOaxNWfMNceplnCBhdeiqZyYGwbLQvhUi8XDiwCPjZh4xmyLny84TuKBYBzQNTB5I8ZeAleTlF3kIfyTpK6kpZ3nmTyJcUHU1avLCAJF2j2dFpZK79KlJfLRkc065BkEgGPHqBMQ5wzlckhEHsvLviU+KRTcNvZkc2QWwfMEbt5cIXHkS5eWrCULqZQgdWmtI0u71v1g2KlC+dixWXI+IYw0P54TbmmpbolP2rGbHJyU/datFRKju3hxEUrR5R2uK4gVmFIaV68WyTskm3UsdTX3PwZYbPaGCTC9BCZbClemFsDkPMBiS0VYHiI4QeoSwVnouMUXS0HIm0AsJs2Dc9CMtTpSxqCZAx6cbh2nJUR47dcSt/vSdnbxtDKAEUUkA6tCMHLjNOI3dl12rqukA7vWIMHdMNSWopExWAHgpNClxdH6u16XVjCecyTYAaB9XfR8SZGEeZBpW0nr97VjT9bdYm9tT74AG3XFBQhS0t8b56Ls9k5aJ6+ztPZhDJZooF072MKWduwsIWaQaNfuQLJ+myu5nbX1iGBAYjuz6m63LUQynyLAyMsGkGjb8AnWdtdZa03asF6X1v1uPmzosUnhU7v6g0CDJ95MnNNrq5T6TM9qu3smud33pXU++zq3r8vOGaisdgDMb4of067Z7efrlz+r9br9XuPcrCe81zGt89FtDJJOMwLQ4CD3nw6BRHJkMNaMRbe22fe7hgR9LnzYXRAHU3HRiob9LH2x8qXt7FavzpIvp127ei1pfr2uyBRYOu2gry9DbuBaTVpxgB07esh6Ja1Ngs24WmzNmrwlxTYBZhp/WbeuQDqtMFQYHs6Rl+yePb3WIt4wBLZvb01nZLMOenoy5Kau1UJs3EjjANu20bxWShn2+NTP+vUdllpsZcXOO7Z2bYG8gMJQYc2aPOkod+/uJedrnDPu9p/Pu+jpSRH2ajW0HFu2besi11Apjc5Oj6hER0c7rYe/Xd6xJHsQKKxZQ2OSe/b0tVm0rikX74BmnYn1chUoZxM5SjlbABWTlmsFzbpMgL65zyawRAfF9IolUJF8De20tA/JqQuJcnaDaZpxnIFBOzGDQd4FzduxbyHHbdpE8yQqpdHdnSaj7C1buqwXeLt2X7MmRz48fF9aDjG7dq2yFjNzzkgewa6uFAoFl9wz5XJoORS1Y+/pSZPR17Zt3W38MwPs2UNzwq1ZkyMdku9LK862c+cqkmsQMLGwkZHWqL6nx7DHO+tyObBi1KOjNE+ilEZNG5+RuO++HutDrlym7S4Ex+rVWcJer0usX0/bXboPgKmkEMSDFq0YruZ90CxHPpKYKkPGp+MBKDHaEp4AgJbQvJ+M0JRzH5ilxqxCertbfzMHSgzanekXKF/amN2GDR2ks0unHXR0eBgbm8P16yW4Lsfzz6+zRBejo50YH1/E+fMLKBZ97Ny5yhKMNBZsj43N4fbtFXR3p/DKKxuJcIFz83CYXFtLCAKNJ56wRRdr1xYwOVnGmTMLuHt3GVu29OOFF6hgJJNxmu7w16+X4DgcL7yw3hJdjI524OLFRVy4YNh37+7D4cOUfWAgi2o1xKlTs7hzZwU9PSm88som8gCZdDH5JnsYahw5MkxiNIDpqCcmVnDmzDwmJ4vYurUfzz+/nsRAs1kX2azAqVOG3fM4vvGNUcsSaMOGDly4sIDz5xewshJi794+SzAyOJhDuRxgbGwOd+6soLc3g5de2kimxYQw7KdPG3YpNZ58coR0roDp0G/fXsHp04b9vvsGItFFiz2Xc5FJC0zcvIF6+S48z8VzX91iCReU2AAenIcIzoPpCqS7F8p7lMQ5NB8E0yWI4DRYeAeK9yHMvEwXyzIBxQch/FPg4WVAS4TeM9AudVnRzgbw8CZ4cAZhbQqp/P2Qma9SsQvPQ+sURHASPLwJIIMg8w1A0GvYYr8Qse+HSj1M9lm9OoeVUg3Td66hXp1FZ1cHXnhxM5kWcxyOwcEsbly9jWrxNjhTePSxUcumbcOGDkzeXcTizDVUy7PYtGUEzz5L7eo6Ojy4rojyEZaQzbr45jc3ko8axhg2bOjA2bMLuHhxAdVqiAcf7LfUkcPDuShP3RwmJ8sYGMjilVc2kilz1+Xo789gbGyuuf7z2WfXks61wX71ahFnz85jZmYFO3cO4dlnqWCkszMFIUy2D7NuzcVLL42SWBxjDOvXm3yEFy4soloNcfDgoJVgeHg4j+WlCmYmr8OvzqG7uwMvvLiFxOJcl6O3N40bV2+iVpqAEBqPH9mIkZEkeyfuTCxgcfYaauU5bN2+Dk89TYU64F3QmkMEY+DhLWiWj+7RWKfIGJRYDx6chQguALoG6T0M5dH0olqsAZNz4MFpcDUNxYcQZr9J15oyD4r3QNTHwMNrgGYI018DHCqQUs4oeHAFynugue2LxOz+S7IL+1zl7t0yGZEZJ/BFpFICmzZ1oF5XuHBhCRs30pfg7dslLC35WL++AClNDKhU8snNWquZ9DrGFSSDet3EoA4coC/By5eXIaUZCfi+wqVLS9i9u490ZIuLtchPMQvPq2BuroqpqQrWrWvdYEppXLq0iEzGsPu+wsWLS9aI8+bNEorFoMl+44Zhj6e5r9WMH19vr3F/qVZNep3ksoLxcRML+DT2+fkaJicrUdC7irm5KqanK0RsYNhNfGzTpg4EgcKFCwvk9zXYV1YCjI52QCk0fQXjoweTTqeI3l7jhlEuG3++ZPLPS5da7EGgMT6+iF27qBBpdrbazP2XThvuJDu0wr7Nb2Hf6Cz8MIWUewPSKULiGXI+Lm+AoQzljAJagstrkPohGv9AFVxeh2K9gDMAjhXzt9hF6wovAcyM8qADCHkRSt9POjImZ8DVNLQYga/T4GoaTM4aUUuTXULIi9AsD+10g+kAPLwE6SSSrsrr4Kgk2A8CsXgf0xU8e/BNPLUvgFQuPPcGpAco7CR1bej/AJt+exz1IA3PuQXtzCDUL5OpsRS/i996+ucIpIPZmWmsHlpCwDqg0eqkwlDh4sVF5HJmxiEIFC5fXrSSyjbSDI2OdkJKE5d68MGQfLiZVEAlDAxkIYQRHSVFTYCJPwvBY8+XyYEY7wympszzuXZtATMzNUxOljE/XyPitTA0z0qh4GHVKrN+b3x8yfLZvHq1iFpNYePGOPsA9f/URXz14TchD0oo5cAT1xC4DjS2k7o2D72Hrd++Bj9Mw3NuQjtzCPU3ycdWWtzGt5/9OQLpttodvwWN2MhbBxDyEjTrgHZWgSEAD8chBe2EhbwCjlp0j4bg4VVI7wCNq6kiuLwJLQagIcDVEpicgE7MGojgIsBcM6uhA4jwAkJnC2Fn8g64ptqDL1K+tNOYb79N7ZquXi3izp0yOjo8pNMOOjs9XLtWJEFvpTTefXcShYKLTMZFPu/CdbllF/bhh1MIAuNrl047KBSM8CQ+HdnIlN04X0eHh1LJt4LQb711B+m0QC7nIp0WkX0XtfG5fHkJk5MVFAqtuq5eXcLkZGtaTCmN99+n7I7DrHZ47z2TNiSXc5HJmLqOHZsmU3rFoo8zZxYIe7HoW7m73nrrDrJZp8nesO+Kl0uXFjE93WIvFDyMjy8RhxEpFT74YBKFgodMxkUuZxauvv02reu99+5Ca7OAtcH+0UdTZBpnaamGc+fmm+yFgovFRd8S6jTYs1mnyZ5sKx6cA9QCIPLwUi4074AIL4LJWDvoEE5w1Hz98gwg8gA4RP0dUpf5m5l/5xlo3gHHP2piIFFhcgEivADNOwCeBkQBUPOGI1ac+i9M8J9noZGG5lkI//9LsJ8F9KKpg6ehRQEivADImBhEB3D8D6EJu0mWSdnfNr/JzcJLuQAvmN8cm1oy1k/j0Lxg9hF50ymHF9qyO24KwkkZ9jplP316HktL9dg19HDmzAKWl1tCJN+X+PjjmeiecZDPu81nIF7efvtO0/Ahk3FRKHh4//1JMv05PV3B5ctLKBTc5v3e2BYvDXuybNZBJiOQyTjW/X7y5Gz0gdl6dk6fniciqnpdNvPsNdjNM0Ctzhz/bYC5EE4WrudBiw44/ntk2pmFdyHkNUA02r0AJu+AJVx3TLvnW+3O0la78+ATQJdb9wwvgAeniIgKugbhH4vdo3kAPkT9aIL9FwDzAB7d76IAp/4Onf4Mb4PLG9Cio3mPcjkBJq8n2N829+ivWL60nV25HJCX4I0bxTZOKIL431WroWVbxTkjDxkAzM7WLPukIFBE0Tg9XbFEHum0QzoowHSKyf2MsSplTzoUpNMOsU8qlwPLZYVzRqy0ADMaS66p831FfuPkZNkK2GcyDklA2WBPFmN+3bqhb94sWWvqTLaBldgx4a/ArsmL5M6dirXuLpMRuHPnl7PH6wEAJm9T1SMAzTwwGfsY0SuASsQdmADXVGFoLL6SLhY+mG5dQyZvt7ELy9LzAWBt7JN4ItbC5ATAkuwueKwuc+427AnrMa7bsCsfIOy3oBPrsQw79Y6M/95W/fT33L270jan5N27rXumWPQtMZLjcMzNUcu3pSXfEhnV65LEYm/eLFnuKEl7PGOgfm8D6UaZnCyT0RlgxDVxC7akleG92JlesgQjTNep5Za8YTvq8Dy4vNn6W4fGqotUxIhVnalrsq3qkamZ2H8vwoif4ju4YIp+CLdnrwFoWZQZe7ykXVgOPLwR2+CbDvjXUL60nV026xCRxchI3hJK1GqKBI4zGce66bXWlsVXd3fKUk41FsI2Sn9/1grY1+uS2PgAsBaGm20ueWGvXVuwxDW1miRrZLJZB6mUbf0UX2YAmMB+UoloFsK2OAYGMpZ6q16XZLqmwdmOPd55Dw/n2wiDJJmSyuUca9GtUtry1OzsTFnqN9dl5DcODWWsfWq1sLkeslGS7dJumxbDLTeTqDDlQ4vYdCHLmy9YcqCCYjRmolhHG7swD5q1rosGUSYAACAASURBVKEWq8FU0i6sCi2oo0n8mHtt02LwHuxDiWOS7NJitwQ4gIm9xNn5sC02UBVoTlNMaWZnnFYJ9oGBrGUxJ6Um17BQ8KwPTimVZQuXFLEAZllB/MN3eDiHep3+PuPa0hpNcM6sj2UA1keoCWvQTlhrkGeno8OzPtrCUKGnh7LrNveMZikyxazECFjiOkOVoUQrhyWYcw+LucQ9w/si157YodDQvDe2Txc0Eh8+OoTmdFpYo2ApfTVLAWiFepSz1rgKkZ0S7HDJ7/1Vype2szt0aDV56W7e3IWBgQxWVoJmmpvh4Szp7DhnOHjQ2EiFoYbvm3QkR47QB9bYKTFUq8aGqFj0sWdPL/mi6+jwsH17dzM1TiMVzr59NDZ25Mjq5ihUSoViMbDsmrZu7UZPTwrlcot93bo8WcwqBMfBg4PN1DiNdCTJXHyPPbYaSiGyDDPse/f2kc6mqyuNrVu7USy22DMZx4qNHTkyjJWVAL7fYPfx2GOUfccOym5iih0khuE4PLKR8pvsvq/w+OOU/fDh1ZBSx9gD7NvXR8QGPT0ZbN7cadLLKI1q1aQcSqoCDx9ejZWVEGHU7qVSgMceo9dZufcBrANQFUApY3nkjEKL2DVkDkJvv7HvUtKsk9M+pHeY1CW9w0ZBqWuAkpHF1/7EGrc+SHejUcQpZc7LOqDcB0hdYepwtE8AIARTKwhT9HxmIXABUNUWu7sZOu7GwjxIb39UlzRsWkJ6j9HzeY9FX9j1GPsButbKGYQUo5Sdd5o2JOyPNdlZxJ5sq927+5DNuqhWQ+jontmypZO4gqRSIrLACqCie0IpWDZtjz8+DN83llYyNPZkDz7YTz4mh4fzWLcu37xnTBqdFFE7A8Bjjw2Z5ytQzfQ7yXt0795+ZDLGoEBHKXO2besmH8LptIM9e3qNXV3EDjA88ghlD73Ho5FcHVBhdA0P0nWYzgiUWAumVqJ2LwO814qNhalDsXYPjIIydYTsI70DADzzkRRdZ+ncRxaLg2Wg3D1gsnG/m45WJkRNYeoJMNTMfdNkf5iyi7WmY2uyr0CLQei4kpkxhN4hwFKJfv7ypVVjFgp0dMSYMUM9dcoorrJZB888M4KuLioq6ez0cONGMbIgMi/THTt6Eos2OVFjDg5m8dRTa5BK2caqZ88u4Pz5RQAajz02RL4WATMSmpurYWxsFnfuFLFr1yAefnjIsmJyXY7Tpxdw5coyCgUXTz65hohmAKCry8O1a0s4fdpYEO3f34/t27st9nrdsN+6VcLq1Tk8+eQaa2TVYL9wYRGMaTz++DBWr6Zf5bmcg9nZCk6dmsPkZAl7967GwYMDZNqIcwbH4Th1ag5Xrxrrp6efHrFGy11dKVy9uowzZ+ZRqUgcPNhnqT89T6BWC3Hy5Bxu3y5hzZocnnhixMqEsHlDHcPdH0DVx7Fz6zSOHFkNkaJB9s4OBzs3nYSunUZ39gpefiGDvqHtSGYT0NqN1GlXAdYFmXrKxDRiRfMuMH8cIjwL6CpU6iC0u5XsA54C01Vw/yS4nIDiI5CZJ5DMhABWgPDPmkXizEHoPQE4A4l98oCahvDHENan4Rb2QXn72rA3lHXXoHm3sWviia951gXmX4IIzwC6DpV6CNrdnGBPg+lyxH4HSqyDTB+x2ZGHCM5F7G7ETj/uwAqAnITwT0XsDxolX4xdCIYHtkyh0/0Ijr6KwwcXsWf/doDT+2/NkMaW1R8grFzApnWT+MrTXUjlaVLZdNrB7i2X4IQn0Zm5hmeP1LB+8/0W+9bRMoYKR4FgHHt3zOKxx9eCO/QDqadb4IHRE5CVM+gtXMUrL+bR3beViCmE4Hhg8110uB/BxTUcPriI3Xu3Awl3/5HVGptXf4CwchFb1k/i2adXIZVLWMyxNKCL4MEYuLwL5YxCph8jHxkAoJGFCM5E4qYUwtSTtsUcKwByAsI/jbA+B7fwkOWMAiYAraJ75gY070OYfqbNVH4nWHARIjwP6BDSe4QuaWmwyyWI4CSYnG7PzljEHqmPWQZh6gkgYXwO3hG5Dd3f3PRF1Jis3cLM/1LL8vJy88e8+uo1vPjiaPPfSiUf/+7f0fT15XKAP/7jHUS99aMfXcHSUr05zVCthti3r5+YBI+PL+LNN1vp6xtJF//wD7c1OxYpFb773QtwHNbcVioFePnlUTL9+ItfTODSpSWkUgLT0zPo6enF0FAWzz/funmWl318//sXiDKxUjHs8dHkD394GSsrfrOTr1RCHDjQTyTNFy4s4uc/n2imDFJKw3E4vvOdlvmqlAp/8Rfn4Xktx5li0cdv//Ym4u351lsTuHy5xd7dvQpr1hRIlvilpRr+6q/GyRRhpRLiT/5kB+lg/+ZvxlGphM1OvlIJ8dBDg8TA+ezZebz99t3mdJJSGq7L8Qd/EDOO1SHc8l8SST9TRQSZ34UWrbpE7Wfg8irAUpiZnkZ/fzeUWAuZfq51nJyHW/1rE4xvbNNV+Nk/IVOXTuWvTTyiEddSZUjvEJTXUlpy/zSE/17rpaclNEsjzP5ejD2AV/lLaNb6AGOqFLHH1k3V3gCXN2LsXVBi1HRmTfZZuNW/pYF9VUOQ+1PywnErf2VGnI3ORpUhvcNE5s39kxD+B63ORktolkGY/Wcxdj9ib70YmSrCz/wBIFojJFH9Cbi6DTAvxr4RMv1067hwCm7t71rtrjWg6zZ7+fsAwiY7U2UEqSeh3ZZakfvHIfyPE+2eR5j9doy9Dq/8lzTdjCohyPwBIFpqbVH9B3B1N8G+1XT8Tfa7cGv/sdXuWgM6QJD7ExL3dMvfA2KLuJlaQZB6hnwkcf8YhH8swV5AmP3tGHstYm89l0wW4ef+iIzInOqPwdQUwNxPYZ+AW/2/jWCkyR5G7Ly5za38ewCasqefIyMy4X8I7p9sdZQ6hGZdCLPfirFX4JW/S5yFmCrBz/5X5KPMqf49mJoz1z8qnZ2dnzt1+Zd2GnNiokxiU2Njc1bQ23E4zp5tWebUaiEmJyvWGrfxcRqwP3t2gczVN0Qs8dxWd+6UUatRJ5J83rEssJI2Pq7LcevWCokznDw5Y7FzzojNUqUSYna2mljj5lj2XefOzZPceEYIUsfiYis4fuvWCnxfJdhdfPIJZb92jeYBM1ZMJSJQOXHCbnfAqDQbpVwOMDdXI6PZbNYh+wDAhQsLJG7CucmfFxcGsfA6kgF0zfLgCTsjLq/TYDzzjJ1RfJ/gpB3X0Irml1MlcLVABRw8Z6kQeXiBft0zYY5Txdg+V6ETi2c1y4EH1L5LRB1dq64URELBxoNP2sTHJFh4Nca+DKYSQoK27JfoqIoJcDVPVHo8HIdGMkaTs22k5E0a42Qp03ET9kS7MwYgBIsJF5hatNg1z0EklKsivNym3WepyCO4aGyr4oVlIeLtrjWEvN2G/So5rD27T4Q6TM0bcQhhz0MEZxPs4xY7UzMkFmsstxI6A56llm9agcvbdDTLUuYZiJ8vGKMfR4yBoUYEUkzNGYFUkt0/Q9shvEJHhMwxnW0srsuDs5YgS7MMRBCz2tMhuLxjjWa/SPnSdnbtrIuSg1itaSp5xlhbq5+kWvJe5yMzAgyWnZHWdl1JpVi7bUJwi10pkM7BqCftuj4Le3K/pBLzXlzt6uacbhcCQPIlqLU1xfxZMNudzxwbb3hunS8iSR75y08I1rYuGqD/rB+Y99ovtvC87T7aOrbdfva2du2ggS/E3q6wxPHCEiQ0t5PDPtOFvsf2WHoYsM9UVzsibbHfq62SD8IXu2eYVRe/R1sl6r/npFt8v3t0Apbytx17u/vql9wz7B4vh+S1aMPO2t0zVml3j/56uqkvbWe3fn0HeaHu3t1rqaSUAsn7lEoJrFmTJ7Lgcjm0XE+SNlJSGvukuLPG8HAeuZxtZ7RvH51L37q1iyx3MDY+HQm7sD4izdfa+G5u29aaHkqnHaxenU2wB7jvPhpkj+frM+wKq1ZliDvFyEgBmYyTYA+wfz8VqGzZ0kVUc/W6xOgoVfLt3dtP1JiNji7uaJLNOhgcpHZG5XJopVYyVkyUvbc3TYL/WqwHkKIqNl2GcqnDgxKbQO2M6pCCWnxJdx8YsfjSABxoJ+ZowvNQfABkvZxagXTpYnFjxRRfrxRC8X7iTmHqdcmLsOFqYrPHlI+6BiVonE26+8noxbSHl7AL64DifW3YY3ZNAJTTjn2AjPaMPRrt8JgqQ3r7KJfY+EvZlXuAWp1pBbAUtIjF43gXFF8FstZPlSA92u7KuS9xDUOjVI1Ntyp3K5hmiXavQsZdQRiDdDZQdlWFcmhsVnkHqMxfK2iWhY4pDDXvhhY9CfYVapMFGAsuFb+GgaknNs2t3G2mMyXsNXoNGW/P7lIRi3L3tWHPE/Wx5qugWTdll1GuOsK+PWGP50OJETIyVu59YImZDKZ9eg2ZgBRrkVSJfpHyG9PZMcaeY4xdYoxdYYz9d23+/Y8YY7OMsbHof3/arp5GeeYZGuzN5Vy8+OIGTE6W8ckns5iZqeCb39xgCTO+/vX1yOUcnDo1h4sXF3Hffd1W4s8NGzrw8MODuHq1iLGxOYShwiuvUEsnzhm+9a1RlMsBTp40tkdPPjls2ZM9/PAgNmwo4Ny5BYyPl9Dbm8Yzz6wh++TzLp5/fh3u3jXs8/N1vPzyKBhT+Pjjj3Hu3DlorfH88+uRyRgRzqVLi3jggVXYtYuyb9rUFbGb3HFaAy+/PEr2SbLfulXC00+PWBZfhw4NYd26PM6encflyyX092fw5JOUvaPDw9e+tr7JvrDg4+WXRy3ZeCMf4NiYYd+5c5WVPHPLlm4cONDfzNkHMLz0EmUHEwjS3wJTRfD6SbDwNsLUs1a2b5k6DMXXgPtnkeGXodkQZOoJWpfoQpD+Klg4AV7/BEwtIki/Yk2phJlvQMMBr4+BB5cROntJ3AgAtLsdobsfPLgMXj8FDQdh5hsJdgdB+hUwtWTOF04gSH2FxI0M+xFoNhSxX4HiayATakyIboSpZ2PsxYid3u9h5pvQ4OD1U4bd3U/TsABQ3n0Inb3gwTh4fSxifzHB7kbtvthiT3+NKvkAyNST0GwQ3D8Tsa+FTFH1pxarEKSeBQtugddPAmoFQepb1qgizLxkxkz1MfDgKkL3IZMQlLDvROjsBA8ugfunoJFGmH4hwe5F7T4fsd9FkHqe2mQBkKmnoVlfi11sgPQeTbD3IUg9BRbcjNjLCFKvWOxB5hVAyxj7w9AOvZeVtwfSuQ/cvxixZ4ydFmFPIUh901hz1T8BCycjdjr9LlPPQLNVMfZRo46MszuDCFJHwIMbEXslYqejtiD7LTO9GLEHqUM0vRQA5e2DcnbE2PMI019NsKcRpL8JFs5E7FMIUi8gudRApr9iOthfsfxGdHaMMQHg/wDwVQA7APwuY2xHm11/qLXeHf3vLz6tzmT6CikV3nnnLjo7U9i7tw/5vId33520phpPnZrD3FwNDzywCps2deLs2QVMT9O1IKWSj+PHZzAyksPu3b3wfYmPPqLuBwDw/vtTABj27OnD4GAWR49OW+uHbt1aweXLRWzb1o3Nm/O4e7eCixdpnC0MFd55ZxLd3YY9l3PwZ3/2/+DQoT/F17/+d3juuX+LZ575Y/z852exsFDHzp2rsHFjJ86cmcfcHF2DUyzWcezYNNau7cCuXatQrRo3h2R5991JMGbYBwayOHp0yhoZ37hRxJUrRWzf3oONG/O4fXvFcp0IQ4X3359ET49hz2QE3n2XOpUAxnliebmOXbsa7HOYn6fsy8t1fPLJLNatM+yVSmilHQIAJ3gPmrlQqT3Qoh+O/4H1ZcjkdWPX5W5HVW0EVzfBJHWdMA4jH0CLXqjUXmiWghNQdxEAEMEJcF2C8nZBORvghGPUqQQA5BKc4BMoZwOUtxNcFyH8T9qwvwvNPHM+0RuxJ7IeyKvg6iaUuwNVNQour4MlYkfQfoLdhRO8Z7P7x8F1GcrbCeWshxOeBCS9hpCLcMIxKGcUyttl2IN27O9As3SCnd7vLLwMrm5BufdF7Fdp2qE4uzMAldoDMH4P9mMR+y4oZy2c8Dgg6UJpJufghKehnI1Q7k5wtUhjQoCJxwXvQLNsxN5trrPFPg6u7jTZRTgOJm8l6qrD8Y9CO4MRO4Nox17/GAx1qNRuKGcEIjgGyKQxwAyc8AyUuwnKfQBcLdL0Nw12/z1onovYu0xbJUZMPLgAru7G2C9ZZgXQJtmqcoYidkCE1BnFsB8Fg99kd/yP6CgOAJNTEOG5GPtcW3bHfwea5yP2zqjd6dpCHpw3qah+xfIb0dkBeBDAFa31Na21D+BvAXzjlxzzqeXYsRnSkV28uIRi0W+KJbJZB7OzVVy/3hIISKnwySfG4qshmc/nXbz3Hm3o99+fguPwpuTdJExcJNN1i4s1XL1abKoQUykBpRSOH59J1HU3WiZhYk+FgosPP6QdpzFHDpqqUcbq+MEPfoxLlw4hCLaiVLofx48fwL/+1/8rOjo8MGbYs1kH775L2d97bwqeJ5q5/QoFF2fPzpOp1IUF0y4NEU4qZRJsnjhB2T/4YAqFggchGDhn6OjwcPQo7TjPnJlHuRw2VaPZrIO7dyu4fbv1YAeBwsmTs4Q9k2nHPolUirKfPj1PPiCMRdWN1hQbSwHwwRMvOKf+gflyZwIAh+YFOAnLIx6cAlBtTRvxnLEzCmNc2ofwT5nAPmMwC3jTxtYpfj7/XaOyZA7AmLEeC8ZIJ8zCSSMkaLKnAdTaspvzcQDc2HdZ7GMA/AT7TTAZu4a6DhGcjrG70EhB+O8n2N+22f0x0gmzcMK4szQEFSwNoGy94Bz/aBv2D8g+piMN0BTh8Dx4eANMxqz2dA0iOGMUm5/CLvx3jUtHg10UzEcGsWmbMO4hTfYMoMvgwflPZdeiA06dXmeTe1ASdiGvg8nYx7eugIdnW2IQ5gHMhQgS7PV3jciIOQDjxnIrOJGYQrwBrqYpuyrR/IZaQwQfRW3VYhd+0hbu46iOGHt4GVCxjx9VBg8v2ux+4hrW3zUqyyZ7R8QeszqTVwE1n2BfBgvHE+wfE0X0Fy2/KUbQwwDivkITAA622e8VxthhAOMA/lut9e02+wAAbt+ewsWLoqmsPH58HsViDaVSa0gupcaxY3VIaaaJqlWJO3emkc3SqZ7ZWeDy5dZFunx5GpUK/XJaWQlw6hRDb6+5UW7dqmBubh6VCq3r7NllDAy0voKuX79L1J/T0zOo1SQuXnSaApQTJ+ZQKvkoRf3D2Ng7WFig02SAi5kZgRs3riKTaU2/zM8zXL7cYr1yZQrVajIlSIjTpy+hp8fMp1+7toKFhUVUqzZ7X18rlnLjhs1erUqMj4umaOTkyTkUiz6KMUco31c4cSJArdYRtV2IyclZq90XFij75ctTltNFuRzizBmOri7DnmFXUBALUKCj8UCfwrJsTYX0OTegY+4hM9PT4KhhJrzc3NYpxuCyZQCt0QJDHSvyGKratL9AEavcKSidsD3CMuZjdfU4V8BBR5eClTE3eRoSnRH7JeTFInRb9tZUZr9zEwqtGOvM9DQY6pgl7KfgMjpCY6hF7Fsi9iX0upOQmk55KRSxEKtrlXPNyrXHWRnzk2cgUYjYzyMvlqFBR+OBHsOybN2Phr0VczLsAWHvEqfhJNg5qliWJ1DXJlzgYBGrnClIJNlLbdjpCE2wCmYnz0BFx+bYGWTFstXuvj6BomxM3Sv0O7eg0JrKN+xhgv0MHJaw4UIlYl9v2Nk8VolpSNDRkEQZi2ErHNLrXEcytyBnVcwFZ6Fg7rccH0OGLwOJunx9HEXZuL9D9Du3LXZAYo6wn78H+yeoaxMWctkcesRk87q32KtYDNcn2OmsGWcVzAXnmtc/zz9Bmi8DiKei0qjrYyhJ8y5gCNDnTEAhg+7EUr7PW35TOrvPUn4M4G+01nXG2H8N4HsAnrzXzqOjq7F9eyt47HmDePXVa2StWqkU4MiRTU0rH601jh2jyRCl1BgYyGDz5lZLT03lcOHCAlnM3NkZYt++7c1tw8Mhzp8/T9aXVasSBw70Y/Pm1kLbrVsZikXj3zc9PYOBgX44Dse2ba24iRD9+Md/vNmsq7OzA0BimgxGtdnf34dstqPJPjSUw+bNrfn0O3cyGB9fIuy1msTevdubcbShoQDj4xestXEHDw5h8+aWwGbzZiNcYazF7rocW7a02LXuxRtv3CZ1lUoBDh/ejJ4e8/ApZdo9nv9PSoXh4Txh37kzg6tXl0m8r16X2LNne6vTVQPwKldpVnBVgUw9jP7YYmmnstnYLDEWrTvqh2YpdGZb+7BAwqn/jMQ/mCqiK3O4FUfTEm7lBAm8Q4dQYi160q26RO2BaG1c7JHTPjqye1pxNNkHr3o9sTauDJl6tA17LcGeQVeMnQc+RP0XRETCVAld2cdacTQdwqt8Etk4xdnXYxVhvy+SrsfZA3Rmd7diUbIXXvUm/QJXKwgt9k3NjrPFnqXsfpWuSYzYO7OPtuJoOoRX/gSax0whdAAlNlP26o5obVzsQ0qH6MjuarIz2Q23eoe0u1k7dhgDMTGSW94EsDDG3gfNOhLsKxDBh0QAA1VCZ/aR2DrF9fDKJ6Hj0nztQ4lt6CXs28yojbBLdGZ3NuNoTHbCrUy21sZFbWXYW+8stzwKMJVg70Q3YV+CCI4TdqZW0Jl7qBVH0+vglccS7HUo5370pmLXubrN+GXGY5VaoTN7f4s9zMOtTdN1rKqEIH0Eg7HsHG55A8B029TGn6f8pkxj3gEQV5SsibY1i9Z6XuumnOgvAFCZV6I89RQVqKxbV8DGjZ1YXvaxuFjH8nId27d3E886xhieeGIY5XKIhYU6FhfrYAx44gkqunjooUHkcm60Pq2OUinAI48MkQ4km3Vw8GA/ikW/uRasry9t2VY9/fQIwlBjcbGOYjFAtRriqafo+TZs6MCGDR1YXjbnGx09gMHBcdDiY8sWAa0zWFgw5+Mcll3YI48MIZs17EtLdZRKPg4dGiIdSD7v4sCB/ub5lpZ89PdnLMHIM8+MIAhUsw3asW/e3IX16wvNuopFHw880NPs6AAjiHniCWM91mgrIbhlxfToo0NIpQRp90OHVlOfQd4B6e0Fk0uAXARTy9BiCMqhIWCZesao0+QSBIpGjZmiqXu0swVajICpZVOXLBrVWVwwwoSxdVIr0T6LADxLMCJThwB4Ma4VhN7j9EUmuiDd3WByOcY+bCn+ZOrpNuxPk32Usz3y2ixGXMuQ7t6E9ZODwIusx+SiYWOeJRiRqccBuCaW12BPPU5fZKIb0tllbKSa7Gst2yqZehpQNUAuRuw+wkS7K/d+aDFo1tE12L19VDDCHATeYwn2NGTqEXq+9OMA+Keya9EL6TwQa/cilFgHLahgJEw/bT6Q5ELEHiBMPZVg3wnN+1rXWRahvIOJdYouQu9RMBlnz0KmHkqwPxmxLwJyAUyVjcNIPE+i6Id0d7TaXS5BitFIlRxjTz0VsS+Cowho2YZ9LzTrbbJDFRF6sY4OAJiH0Hskdr5lgOUhvQet8wE6avcFMFUxzi5xdmcI0tneane5DOlsgk6koQpTT4KphIfmFyi/KZ3dMQCbGWMbGGMegN8B8Gp8B8ZY3DjuRQB05WuiNKa14mVoyGQanpmpQmtt5ZgCgN7eNLJZgfn5KpaX61i1Km2ZQzsOw8BABuWyWcjtONwyeAaAgYEchGCYmamiVpMYGspajvzZrIPubg/Ly3UsLwcoFFzLBowxhqEhs6xgZqYKz8viX/7Lb2Pr1nfheRfR2XkGDz54An/2Z/89MhkHCwuGvbc3Y7G7Lm96hM7OVuF5An19NvvgoGGdmamiXg+xenXOWmeXy7no6kphedl0iJ2d3j3YjdHuL2v3TMZptntfX8ZSynoex+BgBqVSgNnZClIp81uSRfFBaOaAqxlA1oz5cUINp3kemnWDqQVwtmxyeCXTiDBuZNeyDq5moKFN1uRE0bwfGmlwNQumVqB4LyyDZXhmuyqBq1lopIjBbpNdDEIzFrHXzfkt9oKxbFILEGwZmnV/CnvVsDPelh28r8kOVYJi/e3ZWS+4KoGrOWhkoFmfVZVyhqChI3YfSqy2lHyad0KzDiMUYaUoW3vC2Jpxc80a7c44FG/DLvqhkQJXcxH7AICkhVk6Yl8CV/PQyLZnF4MtdlWDEkNt2RU6wNWSYefdloUZmDDm16oWsQuzTCNRtBgwWSjUrDFuZoNt2FNQbBWYWo7YM9BslVWX4kPQkIZdh9E9k2AX3VDIgasFOKxkjJvbsYtBQJl7BhDQv5R9BYoNwba9M+3O1BK4WoBiGWjWY9fFY/eMDi3jcLNPD1QbA/HPW34jOjutdQjgnwN4A6YT+zut9TnG2P/IGGtonP8FY+wcY+wUgH8B4I8+rc7XXrtB/l5YqOK99yaxalUaW7d2oasrjbfeum2l6Hj11RvQujEi6cDUVMVSD545M49Ll5YwPJzDli1dyGQEfvzjG2RdWhAovPbaDeRyLrZu7cLgYBYnT87h6lU6J/7WWxNRstgOjIxkUa8ri312tor3359Eb28mYk+hVtuA11//c7z22u/ijTf+G7z55ndx7JhZN7ZpUxfWrevA3btlfPABFXmcPDmHy5eXsWZNHps3dyGVEviHf7hBxDy+L/HaazeRzxv2gYEsTpyYJSlPAOBnP5tAsdhgz6FaDfH669SFZGqqjKNHp9Dfb9g7O1N4883bViaEH//4BjhvsU9MrFhCnePHZ3H1ahEjI3ls2dIN1+XR9YrFBnQdbu0nZv2buxXaHYDwj4GFNLwraj8FQwnaHUWgR8BQhVN7g+zDwjsQ9aPQbj+UuxUQnXBrb9D1eQDc2t8DTEC5W6DcEXB1CyL4mOzDg+Pg6ha0O2LWNzEHbu3HZB/omqmfd0Ts/RD1D8FCmjPNqb0JyE8yEAAAIABJREFUhjK0Owpfj4ChBKf2ZoL9NoT/EbQ7YNh5AW7t9cQaNw2n9irAHCh3C7Q7Aq5ugAfHaVsFH4Pr21DuCJS7GWC8DXsFbu1NQHRG7H1w6h+AhYkcbbXXwVCFckfh62EwlCAs9lsQ/vE27LFntcnuQrmbDbu8anKyxdn9o+D6LpS7HsrdBDDY7KoMt/5TQHQZdqcfjn+UCmIAOLXXwFBrsetliNrPE+zXIYIT0O5gxJ6DW3uNKmq1glN9FeDpqN2HweWlSBAVY6+/B64nod31UbsDTj3JvgK3/nNAdEfsvXD8d2nORQBO9TUwBFDuxoh9AaKeYA/GIYJT0O5Qi73+D1SV2mTPxNgvgCccVET9XXA9FbFvAoNuw140eRib7b7K5PBLKJmd2j+AJWKXX6T8RnR2AKC1fk1rvUVrvVFr/T9H2/4HrfWr0X//K631fVrrXVrrJ7TWFz+tvpmZKlmkfPr0vGVblUoJskShWg2j6T9G9onnXgOA8fElK71NpRJifr71EpyYWLHSAOXzrrUkYmJihUwhNkaC8Y7z9Ol5K5WI53FcubKC/fv3Y9u2bSiXAyt3VyolrA7qypUlqx0a07aNcutWyUqLUii4OHeOst+5s0KmEIXgmJyskM7n9Ol5KzWK6zJiBVYq+VherhMnlFRKEKUsYDJTx31MGWNYWfETdmE3bA8IlgcPEg+jSlgQMQEuE8lbwzM09gdAMwEexKaQ1bJZAE1cXNLgYcK+K7yG+GJgMBa50C/F9rkC3WYUx8OEFZO8m2B3TFwqvk9wBpolDKsZM4bWzQ3LZvrVYk9YYLVj18vU6iy4DJ00KOZ58JCqMU3OtLgjhwPRlj3R7tCRFVx0mF4wC6Dj7Dxjs1u2cNzkWiNWZxehE2majE1brPPRClwm4mfMBVf0Q0QE56xRtoYEC1sfgUzNgyUEJcamjS594eqWxc7VEojVWXiexi3RuN9j7a6lHftjrrHhirOHF+z7XYcJu7BZsIQIybDTsApXN+12V4vkQ1EE5+h9BUQWc/F2D8zI/V7OLZ+jfO4aGGM8MaX4G1mE4OTFn826VufTyNjdKI7D29p3JRdAe56w1udxzsh+ZvqQ1iWlthz6Xde2zDHLEFp/Z7OiLXvc4/Je7I6TnAq02RnTFrtKpC+TUlvTisl2aXDEO61czrXyy0mpSYfbWEqQLHa72+czGSHiD3EmsmciZ7QfKmvKCNbLGsgCSDSElsR010jebS67flsLphkjwhbNstYaI6PGS74Q2rAn62dZJJV8TMtEskz3Hi+RhF9hu7YCI1NXhj359S2RXCBst3Gb+lkayXZnibqMkjZpUaWt6bR27LDY89aaOmMwnU0c087eKuntmLLagUER0YfpWJM54dqxt9MPcpB7ieXaspN7FAztvSXbsSfbXSN+/5l9ku2uYOd0tNudQRB2492alJ0k2QXa24p9/vKZOzvGWBdj7AcAagCuRNteZIz9T78Wkl9z2bati7z8d+5cBa3RHLE03P7jlluuy7FxYyex5lpZCSwHlQMH+knWYt838bi45dbgYBZdXV6zk9JaR4pGmvLkgQdWkboqldBKKbR7dx+k1E12KU3ntHlzSyiRSgmMjnaQhd+lkt+GfYBYbvm+SQIbzwYxPJy32KtVk0EhXu6/fxVJiFuphJY92Z49fQgCRdjTaQebNnU290mnHWzYkGQ36ZUoez+xOqvXJUZG8mTUq8WIGdE0XjhaG/sk7wCpS7n304WwqmzlXpPePjDto2nFpCXActAipoFmWSixlkwPGuun/Ym6HjQjuSZo3dhfxV/gYn308oqz1626lHtfgr1i5byT3n6j2Iyxa1aAFmtbO/GcsXAi7CWrraS3z2JXYh19gTsbzd+EPaCWWzD2XXELLKbKkBb7ASOmaLIbx/y45RZ4weRCi69T1CuQbjv2uPVYHVJsIKMO7WwyfzfZFRgkpBezwGIM0tlB2t2wJ+4Ztw0776IJf3mniQla7A8m6toLJuPsNUhnlHQsytlqOslGJ6UVmJYmfU+zcg4ptrVp952J8z1kRsuEfRW0E4uX8i4T+yVTymVIj64UC93diXavQTqbSKer3O2Adgg7tIaKczEO6Ww1eRl/xfJ5RnZ/DrPgaB3QXDB0FMC373nEf8aSVPKl0w6+8Y0NuHOnjLExYxf28sujVsbgZ54ZQaFg7MIuXFjEnj292LqVvsCHhnJ44onVuHzZ2FYpBbzwAl0EwhjDyy9vRKUSYGxsDjdulPDcc3b+vL17+7B1ayfOnp3H+HgJAwMZKwFlJuPgxRdb7PPzNXzrWxst9q98ZS0ymZbV2f79fcSDEjBZmQ8fHsL4+BJOnTLz+s8/v74N+yhWVgKMjc022ZPik/37+7F5c0eTfXg4h0cfpQHmbJa2+8JCDa+8stES6jz33Fqk06LJ/tBD/di4kbKPjBRw6NBgk51zhq9/ndoUgTFUvW/h3KUMjh+fx6mzIRbky7b1k/cglNhgLLfYOJRYA+lRJR94Dn7qeTB5C7w+BiaXEGRetkZDMvVVQHuR5dYlhO5BaIe2qXbWInQfNrZV9VOAdhGmkvZJHEHmZTC5HJ3vlrFPSlo/eQ9BiXUR+xWTXy6hhgPPI0i9ACZvRnUtt2UPU18DtBNjfwTaWUv20c4oQvch8OAieH0M0Gnzm9uyL0Xnuw2/nfVT6hEoMQxeP4MMuwIpNkIlOnPwDgTe182C6foYmCxF7HREEaa+DmgWsY8jdA9DO1QNrJ1NkU1bnP05so+xmHsFTM5H57sDP/Ui6cxNux+C4i320Nlis4suBN5zLXZVRpBux/4ioHXTYi5wH4d2Ehnp3a0I3T3g/oXIYq4AmXo2we4gSL1szBQa7OlvWjMZxh5vIMa+FSrhxWnYvwIWXo/YqwjSLyFZwvQ30LI6u4zQe4ImNAagvR0InV0x9k6TC5KwuwjSL8XYp8z5GH3PyNQRqDbCnM9bPnM+O8bYLIDVWuuAMbagte6Jti9rrTt/yeH/SUo8n91HH03h4MHWF0kQKHzve0bA6TgcQaDgeQK///tbyIv3nXfu4MwZk0pGa5Np+MUXN2D9+pZke2Ghhh/8YBzZrAPOTcbyNWvyVof3ox9dwdxcFem0AylNBu7vfGcbGYlcuLCAn/1sAoWCi+npGeRy3Th4cIDkoPN9ie997yIYM+y+L5FOO/j9399KRq+/+MUEzp1bJOwvvTSKkZHWi35uroq/+ZvLyOVa7GvXFvD1r68n7H/3d5exuFhHKiUgpcna/p3vbCPTvufOLeCtt26jUPCa7A89NIj9+1s3fr0u8f3vU/ZMxsHv/R5l//nPb+PixcWmeXa5HOCllzaSbOwzMxX88IeXkcu5TfYNGzrw3HO0w/vbvx3H8rLfZA8Che98ZxuZOuX+aTj1d6BFHjPT0xjoyyL0DkHFv+Z1DW7535svZybM1yzLIcj8M/LyErWfmpgFz5kva7WCIPNb5OXF5BTcyv9lpmgYN6MxZxNkOvby0hpu9QeAXmmNNHSAIPdH5OXF/THjyMILMfbDJH8edNXkTGuy1wHWgSDzOwn2N0yci2db7NlvQ4vW/dfM0cYa7GUoZyvJQWfY/9rEk5hnpta0QpD7Q/Ly4v6JyIkkavfeLMLUE1De/bG6KvDK3zPTfU32TgTZ3yHXWVR/YtYu8kw0oikjyPwOyVvIwttwan8PsLz53aoC5WyHTMd8ULWCW/0PJp7UZNcRe2sUxf3jcPwPW+x9WQTek9BebHSnyvCq3zfTrEwAugbNViHM/laC/ceR40yDvRLlLWy91Fl4E27tVTPNyljU7vdHyyli7JX/ACDGDiDI/iGZFhX+xxD+xxH7FAb6cghSz9Ikw2oFXuX7Zqqywc57EWZiOega7GoiGskbdj/zeyRvIQuvwa39Y4x9BcrdRZe1aGnyKSKIRqcmY7thbz2rwj8K4Z+An//nzW3/1PnslgEQrTRjbC2AX9207J+gnD49T2JTZ8/OIwhUczTkuhwrKz6uXGmpI8NQ4fz5xaaggjFjgfXRR9QC6+jRqWZHB5iR140bJaLsnJmp4O7dctMmSwgGz+OWh+aJE7NkwXU+70YGzS32U6fmIWWL3fMEikWfKDuDQOHCBZv9ww9t9kZH12C/fn2ZTG1OTZUxPV1txuiEMPHIY8doXSdOzJBF+vm82xwtttjnmlPGDfblZZ8IZ3xf4tKlluiHc4ZCwbPUmEePTiGfdwn7lSvLRNl5584KZmdrhF0IZlmdieAktGh1pJoXaP4ywNhKMd6K1TAPTC1QP0Rdi/KONSy+jPWY8I8m6joa2SdFjxzPmg4yFrBncgJMzbc6ByYAxi0PTRGcJCIIw55UIZ5IsKdMLrK4H6KumgzRTbumT2MvxNhzEOElOv0pb0T55aL7gTkA03abBmNEBKFFwc55Vz9mYnuEfQYsjAlZVBlcXkMzZxrjRtxgsX8U2cJF70aehQgv0ClEec2IbQi7stWRSXZegGO1+8cmTthkT4OrKbAw9uyoFZOTkLBn27Jrwp6LsoPHbdouA7pE2REmBCoaPDgVY2eG3U+obv0PWx1dgz2cpMpOVYzyKSbZE3Zh/scJdpPFPh5fNPd/pdUpMwfG2i+Wk1CryNIusTzlC5TP09n9BYD/yBh7AgBnjD0M42Ly578yxT9B8X1FhBGNUUq8eJ7AwkKNHJMUggCwDJCr1dASgyilyUu3VAqsfRyHo1ymAdmkMXSDI66GXF5ux86xuNh62dTr0hKCtGeXFpeUIN6Yy8u+ldPOcTjpENvV3fg98Y56YaFmCUtcl7LXap+dPSlkkVJb7HEHnMb5isWEETTo8gEAYHFZPgCoZSvwrplrXurNDTVbVMIYGGhdTNetqSymlYnvNP5Wi7b4hHnUm7Ad52dmF0ZF2TymZsQTCfbk0orkbzGVScBiT4ogPiO71VYl2GINYZKGNvep2nJ0xgmTqdu+zoBMxCkXrbYCPLO9CaDassNiX0FSDKLBAMJeQVI81J693fkk6ai5/gzskCb2bJXE+XQZSRGOZjAzDYQ9ec9wch/fi11DIi5IYWqhDXvKfPA1S4ikEfoXLZ+ns/tfAPwQJjuBC+C7AP5fAP/m10Lyay5dXR6Jae3Y0W29rKvVkAhUslnHkvgHgcLgII07rF1bQLVKb9ZMxkFvb2uqac2avPViXlkJrDhUf3+GvOiV0li1Kk2mVrdt6ybCDMB0BPFYYj7vIpv9LOw5qxPJZARWrWqxr1tXsHJLrqwERBADAH19Nntvb4b87h07eogABzCdeTyWWCi41nII35dYvZouJB0ZyVsfB2ZRfmuabP36DmvZRKkUWLFLk8ctnvNORYvBY/u426gwAwDTAVQ8nx3rhE7EdqDrUInFsYqvJi9YACbPGWtxKWcjWNJpX5Wg3G2JunrbsFMxj3K32uxKQsXSyOh7sGtBHSwMO31ZmlFqK3qhnM3WS4npkuVcY7NLi106m6m4AQCDhoqlkdG8x5hTE6gaFeDALLi22FnOTGs22bdaHZnFzniUP4+y62S7O5vIsgbDzogriMkJR59L6BqU046dtqlmebIYXIptRogUP59aMUKg5gYHine3YacLxpWz0c5eAJ7IZ9eLZDwQukqujWEfBF2fpwFWAMkj6GyPOs8Euxub0mZexP7Zwm2fVj5zZ6dN+Tda6x1a65zWervW+n/XnzXo95+4fO1rtPEHB3PYt68PS0s+bt0qYXm5joceGkB3N71wX/3qOgSBxMTECqamKujo8CzLrf37+zE8nMPMTBW3b6+gUgnx9NNrSAeVSonIAsucb3a2hk2bOrFjBxW7PP30WniewORkBVNTNWhtxBrxsmZNHnv29GFxsY5bt0ooFn08/PAQSVpqfvNa1OsSt2+vYHrasCeFOgcODGBgINtkr1ZDPPvsWjLaS6cdHDnSYp+bq2HLli6rw3j22bVwXY67d8uYmqqBMZt97doCHnigBwsLtYi9jkceGSTTn4wxfO1r61CrSUxMlDA9XUFPTxqHDtEO46GHGuyVJvtzz61NLDFxcPjwapRKAW7dKmF+vobt27utjjpMfQWAg0pxDrXKMqB5tK1VtLMB0rkPkPNgwS0wWUToPUYFI4yZPF2qBh7cBgunofkqyBTNcyZTjxgbqXAaPLgNqBrC9FfoaI/nEHqPgcllsOAWIOchnR1WnrMw9RVAc/DwLlxmnC7CdJJ9E6SzPcZeQpg6DGr9xBGmnjOOGcFtsHAGmvdbyjqZOgTNeyL2CUDVzXGEvQDpPQomixH7AqSz0xK7hKnnjKgkvAuXzQJwESZEF9rdahR4cs6wqxJC7wh5UcbZWZN90BLqyNRhaNYFHk7F2v1rCfYOhN7DMfZFSGeXJXYJU1+N2CcMO/MQphNWZ842KGcTmJyN2FcQeEdoB8GEsUgj7ENQSSVp6rBxm2myB3ZOONEVsS+32L09ltjFsKsYewphPOYKo5RVzkawZruXEaSeoqMv5iBIPQ2mytF9NQPF10C5iSS9qSfMej85Ze4ZHVrsWvRAeg812ZlagvT2WWIXw27PgH3e8pmNoKPpyxta6+uMsUGYkZ4C8K+01nYyt//MpV0XLKWOMmUzKAVrLVl8v8boxByTrLu1DIBz83e7Pl8pcyznZt1ccsQRr8/Uxe5Zl5QKgGE3SyhseB0lLG68/M3fdl1mm25OVbbjirPfax/Dav7btKndVuZYxH4fu+c+JgO7+fd205pme6Mu8//32k9rTdgbdTdKqeziRz86gLA+g4WFefQPbcXLL6fQaUmtlPkyZzxa1dXOycFcm+aCcG3+tsFktB9r/+/Nuhrnu9d+GmDa/IuO9rHW5yXZ78EUTUm1mNr9vlb9n75fox1EtD7rHnVBx0jacGlzLAMMu9ZNTlqkOU9TYSrb/MbY+ViUjbxtW6HJ3jimPbs005INTq2RXO5n9mNNdkZ+b6OoaP0djzree51TRWsaefP+SRZzbVWL/dN+XxP2HufTIRr3MtMK9tpJw2R+d2SkfY/rzCBj7S7R/hqGLXat2u5jTbV/wfJ5pjH/T7Tu3v8NZipTAfi3vxaSX3P5yU+obdXkZBljY3Po7k5heDiP7u4UPv54GgsLVeu4dNrB8HAOg4NZVCoBfvEL6jRw/PgMpqcr6O/PYHg4j1zOxU9/OkHifbVaiLffvotCwcOaNXn09qZx/XoR589TK5yf/vQWgkBhaCiL/v4UhGD4yU9oQsjbt0s4c2YB3d1pDA/n0dnp4aOPZrC01Jq+0Frj9ddvIZ0WGB7OYWAgi1LJxzvvUHeKjz6ajtizGB7OI5Nx8LOfTUSdqSnVaoh33qHsV64s49IlGn95881bkFJh9eoc+vpSYIzh9dcp+82bJZw7t4CenjTWrDHsR49Okhia1hpvvHETmYyD4eE8BgezWF6uWzZtH300jfn5KmF/881bpCOuVAx7R4dhX7UqjfHxJSup7Jtv3oLWGm66HxCroDXDG29QdhZeM64Sogdw1kQ5wD6g01Raw6m9DvAMtDMM7QyA6SWIejI32ftgehHaGTQjBp6BU3+dvpjUCoT/vnGwd9ZAix6I8AJYeI3U5dTfAKChndUI0AdAwaknLLeCyxDheIy90+TYi09T/f/MvXdgHNW5/v+Zma3q1bLkJhe5dxuMbUw3boAxNYQESCAQbkKAFAiQhBACCTX0hFwgCQRCL6ZjwMYFG9zlLtlykawurcr2Kef3x6x29+yI3Djc/O73/AMaz848c3b2vOec93mfR1j2tVQ/wjXYxm51oGV442mxtSiiC+EqQ7gGgeqzpdXSZy1WT8IsNh9cgxBaMZqxW1IOsbG/Dwo2dvEV2I0aVOMAQitJ9rsr/hnpyiEIE1dsBULNSvT7ABSrzSakSNhXo4ieVL9rff2ejr3bZogmsKMVoRk7HBJzNnYV4RqUwK7jiq2QzlGN3ahGXRr2XFzxVUh5UGHijn2MULNt7FopitViG7hK2FehiFCq3zUfruj70jmYAZtYohWmYd/ulJiLvQeKK4VdxHFFP5ax6ztQzSM2mzWB3R1fJW+/CwN37BOElmO/M9oAFKsJ1UEyWgkigtAGpmHPkOMzO2xZuHTs8a39Ssz1XxR/bO1Ygt0gIcQRRVFcwALgauBaYM4//9j/TevqikvBZ/fugCMfl5XlklzBw2HDkRtzuVSHU3l9fdBBGInFTIdcWOaqKjvbzYED8qDb1haRCBWKohAIxKTgs3dvl6SWAuD1qtTUpMgGoZBBMCjnJtxuleZmGXtDQ4oh2tciEadcWKagSU6Om/37M7FHpS1EVVXo7IxKz71nT6cDu8ejScGnt1eXitP7zmlqkvMH/fV7JGJKZJeDB3scBJWcHDe1tbImaX/Y078/AFXf14/AstspuZWRnEfxOJyVVavJkYxXrIhEGLFluTKIGWouqi4r4znkkxTVPpZ+jlHTj9SZastn9X1MdDvyPTbzUR4o+8UuwiBh3y9bBWHnl1RD1mtXrY7/Ebtm1DpEigUqqpGajChWoJ9+9znct1Wr2dGnduF0Kp+pGjVfgT3NvFVYqFZnBnbNtrFJv59R1w92pMCpWB1kklFQvI7gakt8yb8dRQSlyZZm7nPkXR39LgxUKyBv3SoaiiUzlFXzoGSrZGO3UNJkxRSrnczcM4ofNWNS0z/2Hum5bZm2jPupmf0et+Xd+lFYOtZ2LOGyR1GUMmAisFsIEUw4FPSnx/N/3txuVRr0iou97NtnSkSIWMyUiBkej4rb7ezUTOcAv9+V9KDra6qqSDVoBQVex3adYVjk5MiDhs/ncjBAPR5Z+quoyMuBA11SkIrHLYqKUti9Xs1RZN4/do1gUMauaYrULwUFXsf2oK5bjsmCLSsmn+f1atJ2YVGRj8OHe6UgpesWRUVe6TqZAco+Lr+efr9GOKxnYFclvczCQo8DezxuOvKbfr/m+H4yAylaIeiyPqEidFsxPnnA72CwIUQ/eoVeFCuSMeCo0kAl1EL7+un5HRGXLYXAScxIXF9qagEYR6UgZcuFFaR9xueUOhMiRYnvO4TXySZVNCmHJtRi9FiEQDBOSVE2qqoCcbqCXh6/90qI7cYSGnn5+fzw++dJEm+CzECTh2I1SUFKwZKxq1k0toR58ulXcCtt6KaL8kFjueq7l2Vg96EgE0ZAk3JoQi0GEefDT3aybu1q/J4I4XgWi5dey8y+1KuiOvsYcEq55aJkDPQKFqj5aedk4Rh6hYVwBBovCpnWNm4Ju6UUoYp4RkCP2c+U9rz9Y3cGScVqk7ELIRGRbOyZ78xXYc9kwrpJd9Sw1OIE9vS+iGW4gbj6YWz+e+1YVnaPYlvxPI/NyASYC/xTQeb/qzZ1arE06E6YUIzXq6HrdmCJx01ycz0SccHlUpkwoTjJ2rQsuzD7hBNke5E5cwYSDhvJgT4SMRgxIk8KBiUlfioqspO0eNO00HWLWbNkBtRxx9med32roWBQZ9q0Ugn7pEnFuFwpfcx43CQvz8OIEalCd7dbTTAf07HHHfebO7dcwh4OG4walS8F6rKyLMrLs5LMR9O0yziOP17uhz75rj7s/cmTTZ1agqoqSeyxmElhoVcq0vd4NMaNK0yu7ixL0NOjM3u2s99DoRT2UEinqipfCtQVFTmUlfmT2A3DwrJgxgw56T1jhtzvtjyZfI7pnmbnxPqS48IeRCTZKsWbkDNKrEKFlZDcmi1fyzPHnpX3bVtaIUzXWHnQ1Qbb7L6+mbMwQOCQ3DLdMyQZKcXsxcwkCHhm2PdKYo8i1FKZdKH4bbmpdOwi6FCSMT1zbHakA7s9gAoh+NOT/8299z/BO6/ew+133M+7769HWAp333UPP7vwNX73wz3cc91OLj7lc+594K99T2yTT9wZ0mremXaOJw27pZZJslW64ebeB1/k11ft5K4ftnDv9UeZN24Vjz+1KgP7bJuVKmEfLw2gQqtkzYYGWg+9xv03HuLOH7Rw/w0HWbviIWprUsOb6Z6WxhJNYM+UhfMeb5vTJqXHolhahUy6UHMwtREpCaxEYbbznZkNadgVK4jpHi8FB+EaZdcR9jFOhQ54MhiNSgJ732o2gd2bKa02y4ndNVgqdEfNw9Qq07CbCeyZ74zc7zb2idLEULiqbFashN2H5ZZZsKZ7ioNZ/O+0Y2Fj3gOcAcwVQryYOHwUuOpro/gPtHQFErCDwZIlw2hpCbN1axuBQIzFi4c6as7mzi2nqMhHdXU7+/YFmD69lKFD5a2swkIfJ59cQV1dd1K2KtO0FGDhQtvcdPv2dg4f7uWMM4Y43BLGjClk3LgCdu/upKaml4qKbIcmpMejsXjxUJqbbexdXTGWLBnmwH7iieXk53uT2GfMGCCpp4C90po3r5zaWltyy+VSOO20/rAPIxaz2Lq1jcOHe5k/f7CjPGDcuCKqqvIT2IMMHZrrMKf1eDQWLRpKU5ONvacnxuLFlY6yjJNOqkjKtNXUBJg1a4Cj9KC0NIu5cwcmsft8GqedJrNN+7BHIiZbt7bR0BBKyqilt4kTi6mqKmDXrk5qa4MMG5bDlCkZ/nKKF8O3EMU4ihrfCmYQ3ZvB5ANMz8kIslDj21GNWnTPCbYvWFoTWhm6+wRUoxY1vh1BFqbnZOkcFAXdtxjMIGp8K4pxFMO3MBkQw+Ewr7/6V/76/MfUt+WixnfgV2sxXcOxPJMzruXLwB4m7l3E5+tW8syf72bD+tUIITA9pyDwp7C750gKJADCVY7uOT4New6m95Tkv7/w3MPMGf40d13Xyg8vCfLAjxtp2P82L39gcvKUnRSlLUxHDRXkeI7S1boJv7ofUxslK5AAKFkYvgUoRkMCe8TB5Pvowze4bEkjWWmLk5kTTLpa1mIYqS1x4RqE4ZqJauxLYM9zmNOiqHy8cidXX5Cme6nATZc38sbL9yePWe7pmOpg1PgOfOp+TG00IqMsBCUL3TOJ/f18AAAgAElEQVQfxTiMGt8GZswpC4dtYitQE/2+H909DzTZ7024hmC6piewV2MphZieEx3Ydc9i25Q1vhXFbEH3LnFs3VruGVhqBWq8OoF9nMNYFzUH3XVaAvt2hKU7GMo29vkIFNT4dhTjILr7FOfug2sYhjbFlseLV2MpxY5gjqKhexfaMm3xrShmK7p3kWP703QfZ5dhfM12rK4HdcAgRVEuURTlJKBOCLHjf/rQ/0VbuVLOO0SjBm+8UUdFRTbTppVSWurntdfqkiu9vvbRR0fo7Y0zeXIJ48YVsXVrm8OWp7ExxGefHWXUqAKmTLFXLsuXH5TOEULw2mt1ZGW5mDKlhBEj8vngg8MSqQRssktNTQ8TJhQzenQuLS1hB6kkEjF4882DDBpkYy8p8fP663WO7c8PPjhCOKwnsW/Z0iZZ6YCdS1y9uokxYwqTg/vy5Ycc2N94o46cHBfTppUyYkQ+7713RLLSAdi4sYW6uj7sORw9GmLtWjlXFQ4bLF9+kMGDbezFxX5ee22/lJMEeO+9w0QiJlOmlDB2bBEbN7Y6coRHjvSybl0Ku2kK3nlHxm5ZgtdfP0Benodp00oZNiyHd9895Cgq/+KLZurqehJBL4eGhhDr1sn9jhW05ZpcQ20ZMa0Ad/R1B9vNFXsPRYljeaZgucfg1r90kEoU4yBufQOWewyWZwqKErdJA1LHW7gjr9n+Xp5pCNdQ23vNClJdvYm7bzuJacU3cvak3/DGC7/guddbiVhVqOYRh/oGVi/u6DtJ7FE9i1/+9Axih7/FJSfcS+jAJfzipvOxet9EUYw07OsdpBLFOIBb35iGPYormsJ+aN97nDhNzkFde3GYNSv+xKjBmVuIMLgsTEv3kAT2g2hx2fsPs9uWmnJXJvo9D3fkdYlU0tRQw6ghzmLjguweIpG0YnejBpe+Gcs9LoE9gpZJ8hAGHuWIIy3k94FlpN5BLbYa1WrC8kwialWhmvtRM1RIMLtwx95HuEfY2pNaDu7oa2Tumbuib6EoSqLfR+PWV8sKMYCi78VlbE1gn4xCEC2D5IEw7HdSK7XfGW0QntgbZAoDaLHPUKxWLM9kolYVmrkPNUOZB7MTd/yjBPYpKKrfvnZGs7FrWJ4pCPco3PpKFCMjRx3ficusxvL0Ye9ByyAiIXTc0TcQWlkCe7ntDZmRE9RiK1GEnBv9d9qxuB6MxTZWfQHbPPUFYK+iKOO+Nor/QKup6ZLySX0rsL7VkKoqmKZgz55UIIvHTerqeqTcTX8SWBs3tkgrNLdbpaUlIgWD5uYwXV0xKY+Wne1mwwY5Kbxrl+z35ve72Ls3IJE8tm1rw+VSkqshVVXQdYuamtQPMRYzOXSo14F961bZgHLjxlaJMGITQYJSMGhoCNLVFZfqBrOyXA65sJ07ZY/ArCwXe/bIwXXLllbcbk3CHouZkkxbNGo48no5OW42b3ZiT6/P83g0GhpCklhAfX2Q3t6UioqiKPj9Wj/YO6V+z8pyOZiyWnyTnR/rGwUVDUQYJY3kYf/dIOX1hJpjy3VJ19osk10Ur/25dBV98yCkq1goCkLxosU38fLfbubhn+5n6lhB5SC4+cpeWhtW09YRsqXH9N0Z99soYf/r8x9z/TdqOffUEANL4bzTQ/xw2Uqe+/sL8paemoMWz2AFxjfLZBfFi2IeTpINNNUZdLweKCjws+ILp4DvjtoCRg5PrKLVLFR9p3w/faNMulBs9ZR08smcE8/gndUZOScBLYEscnJSWLX4FkkWDsVjy12lBQPVqEV1FdGTEZf3H4HSiunJi2vmPjmfqWajObB/KZMuFA3F6kJJ90q0uhykH6HkONmY+lZHv2tmHZKCirEX244o8VtVFASaw4svE7tQs9EyPR7jX2bYV7lsIlAaO1KxAqimTPqxsWca/lY7sRt1pBfJq/puUMw07HYZRqYXn2bU4Chk/zfasZYe/BkYIoSYLYQYjC0V9sTXRvEfaKYpS25FIoaDwOFyKZLUVLqNTnrLXP3puuXYhrMsIZ0XizmlrewgJdekZF4bwDDkerVw2HRg1zRFkiezc1NO7JmrP8OQcZmmQTQacWDPlAtTVZsUk4mzv/ulB+pIxHSQTzRN7nddtxzM1f6x91dbKKQ+jUadUm52gP2fr+V8nhiOn4iioljpFHj9K+qAMmuP+pGFi8aIRlO5CEVEZbafjZ629lZGljc4vpPzTuvm08922DWEmdcXMdJ9wNpbDzFKru9m7HDB+vVruf2OP/DiKyu/Emt/dVQKIjlwubPG0x6wayCDCYeYj9e7mDvnOHwF83j6jQLicegNwb3P5DLj+FMyfBYzri+c/W5LbqVWbBPGj6a+cyyvrfBgmtARgF8+XsjiJWdL7/dX1YDJ6h4RrvzO2dz8cDl7E/OYTbtU7v/7aC751g1pn+lPtiqjr0TcQViya9vS5MkStWzyBxXH9b8SOzJ2Jy3fhSIpoWQ871dhJ+54/zKxI3RQ+sOeIUemOO8nsEj/rm0TWKfvo/T7ov/au3+nHQsbcyowP0Mx5SHgtv8VJP/LrawsSwoQU6aUUF3dIfm2xWIWEyakZp5+v4vCQh+xWGrAjMVMxo2T99JHjy5kzZpGaWWQne2SmJ2DB+fgcsmDbk+Pzskny6ogQ4bkcvhwT9LU1TTtmrv0AXvKlGJ27ZKxx+Mm48al1Fiys90UFnqJx00Je1WVPLOuqipg3bomfD6Fl19+igMHOtB1Fx9/7OZ3v7uO6dMnM2xYniNgBIM6p50mX2vw4BzJad2uucuSBpspU4rZuzcgiV0bBpLUWW6uh4ICL7puJe8bjZqMGSPnAUaOzGfjxpZk/k0IkfxsXxs+PM+xHdXbqzN/vox90KBsmpvDyXfEMCwGDZIZZZZrMpq+z657SzRFCCx3VeokNR+h5Nlbm303FlE5yY4txaTFN4Hqp7snwh8eeR6/1ojm+guByCiu+dHjlJePxBVbJXljKlYQb848esMyI+2pV2DbXijI/5xf/HIf805ZyunnpN3PPRktUpvEblouuw447dqWBcMrdO6+4TArPm/i2ed1LrtkHpZnAkePHqWlpYXx48ejuYaj6ttSs2thIZR8UO1rX/Vfd/OdKz9l2IAmBpVBzSFbHuuJB6sw/BezdWc9v3n+aVxuH+cvG8fIYWkDqtCxVDnvarkno0ZeZ1etPeiNHzMQFU2yTRJKIT+78Vt8/kUttz+1kezsbK64YjZlwxZIQ6OlVdpO72nYLbVQUsGx3GMpK17Hb359A6++sYbnPmxkTFUFv733Htz+lEi2pVUk9By1FPYMaTXTPRF39G1pFa8obkmCzZYLy0b6QqwQVqb3nzoM1dyd2jXow562crRc43DFNiC01PsR6Gyjpmk4I0Z3UVBQAIqGpZbZZS5J7HEsrZL0ZrrH446+n7ED4UFoqe9HqCUI5Fy6jT3Dc1Edimruk7ALtVhaoZmuCYkdiDTWrQhhSl58biy11NZL/ZrtWCx+dgI/EkJ8mnbsVOAxIcSEr/7kvwhEURZi62xqwFNCiN9n/LsXeBaYAXQAFwshDqWfk27xEw4bDkJFdXU7K1bU09YWoawsi4ULhzoCWW9vnNdeO0BNTRcej8bMmaUsWjTM4b+2cmUD69Y1EQzqVFbmsWzZCMrK5MGyvr6X5csPUl8fpKDAw0knDWLOHDnRqusWy5fXUV3dQXt7J3PmjOC880Y6CBXbtrWxYkU9HR1RBg7MYtGiYQ6fvZ6eGK++eoD9+7vxevuwV0qBSwjBJ580cMcd97BjRwXQR0awGDlyNatW/Ync3FyOHOll+fI6GhpCFBR4OfXUQZJlEtgBd/nyg1RXt9PZGUhizywZ2Ly5lU8/raejI0ZFRRaLFlU65Lu6umK8/noK+6xZZQ4ZMyEEH39cz4YNLYTDOiNG5HH++aOkEgyAQ4d6ePvtgxw9GqKw0Mtppw12EJbicZM336xjx44OAoEAJ544kmXLRjrKD9T4JkLt6+ntCVFYXICncL5tVJrezADu6Ot2IbTiw3TPwvTNl2fJQqBFP0LTv+C2O17mF1c1JIkbkSjc+NB0fv/QJ6jmQVyRd1GtowilEMN3OpZnJnfdfhk3nrec8gHw4rt2Pmlpmj3YXX/O4tTzP2DCxBRRRYtvRIt+iiICrFjTTW/rO3xzUWrQ+PtyGDwQTkkobP3swRJuvvUhfnf/8wwt2kxleQ8bdg0mf+BZFOW0M6YyzvHTihHuUei+85OkhJdfeIIRWb/l9FmpGfm9z2Rz+tJHGDXxfLmvRBRX5E00fSedgW7yB5yM4T9H2tKrrdnDXx6/jDkTj6AoFp9Xl3LF9x+harwtb7Vr5w6qt61mzOiRHD/uCJp1EKFkETJn8OGaXmKxMKfPX2YP9MJCi36IFv8ShRimaxSG73zQZKkcxajBHXkfxWpCKCWJfp8mnYOI4gq/hmbspTPQlcC+1EEG0WKfJ4rZu7C0oRi+syVtTADFbMMVeQ3VPIRQcjA9czC9p8qzEWGhRd5D0zfbJr7uqgT2PPla+j7c0ffBbOKhP23G0uuZUtXF9v1lKDkL+a/r70Ehgiv8egJ7N/kDTsPwn+1YFWqxdQns3f8EewuuyBsJ7LZMnOk7JaOvzDTscUz3GAzfeaDJhDklvht37EMUqwWhlGL45jvJViKMK/waRva3k4f+HYufY1nZ3QosVxTlHeAwtonrEuBbx3rTzKYoioZdzjAfaAA2KoqyXAiRnoi4EggIIUYpivINbLmyrzSO7eiIkJWVZoMiBEeOBNE0hYqKbIQQ1NcHHcGutTVMMKhTVmbvbzc3h4lETHJyUgNXPG5rZ+bmusnNdaPrJk1NIUewO3o0hGkKKiqysSw7n2SalhQ4g8E47e1Riop8WJab7u44nZ0xBg1KoxcnsHo8auJa9t+Zwa6lJUI4bDJwoB8hoLk5QiRiSPnFeNzi6NEgjY2dQNoMCpUDB8bz7LOv8oMffIeGhiCWRaKvbHLIzJkDMrDrDuyBQIzychl7Q0MQj8dFRYW9uqivDzqCXUtLmFDISGJvagoRjTrrIpuawuTlucnPdxONWjQ2hhzBrr7eLujv6/fDh3uZMWOAFDh7eux+Li72IYSbQCBGV1dM+g4tS/DGu4UcbTiRLL9OKOJl0iQvp5wi3Q7FakYRkYSDs4VqNWESQ65jiqFaTRxthuEVXRJD0e+DM2fuZcvmjUwfG2T5+1vYsfMAQwaVMmK0zurPn8afU8qdzy2kJHsv1TuO8Obj8tbOT68Ic90Dt3DfI+8mOt6yrYgUL5ZawUmzS7nyR/l89kWI8hKLcASmjU8FOgCfR+exxx7lhgu+YEhiXrP01P3c9eTDDC8XdNR7uOmtwdxxWykuTwsiEexqdr3F934o14P98JIQ9zz/DD+esEwK+orVhSoCWFophsC2HbJ6bMWRxPvyzBPX8OjPatES846LFzZyyU1XMXzMGbQ0HeHUaTXMn9rF5t1Z3PJiOb++9Zvs2dfIS6/cwKWL2snOt3jy3gfoMaaSm+Nh5uRszjxlBJpLQxVhFNGCQA52fQXrllaBIkA167HEVCn4KGYnqujG0kowhLALrK1emUUpzEQO14elVqAIA9WqxyQzYDQCOpZWkXhnGjCxywZS14qgimbb6VwBVYQS2OVgp5pHQMAr7zQye9w2Tjne3kI86+QjfLzhOZa/OZFzzz4VVfSk9XtbAnvaGCIMVLPeLklRsxPYm/4J9nK7r6wGTBGX6+GsMKpoQaiFCexBFNGGQA52qlUPIrFqFgLFrAcmZ9yvHfV/YWV3LKUHy4HpwE4gN/HfGUKIt742Cjge2C+EqBNCxIEXgaUZ5yzFthQCeBU4XclMiqW1Tz9tYNu2HVx++c8477wbuPnm+6mpaaOgwEtenof8fC979wYklQ4hBKtWNZKT4yY/30t+vhdVVVi1SlZl2LChhUjESJ6Tm+th/fpm4vHUfnQopPPll83s3buGF198lJdffoRVqz5h2zaZ7PLJJw14PCr5+Z6Ec4GLTz+VlRQOHOjh8OFe8vNt7AUFXnbv7qS1NTXAWJbgs8+OkpPjIi/Pm3QVX7lSxr5+fRORSBzL6u+rz6a5uZ3e3jibN7eSl+dJ9JWH9vYo1dUd0tkrVtTj9aoUFHjJzXXj97v49FP5fjU1XdTXB8nPT11r165O2ttT+RfLEgl5MncSe9/zpLe1a5sSBeJe8vLse65d2yTl33p64mzb1k5eXl9feWhtjbBzp4z9448bHNg//ljGvm9fgMbGEDm5PlRXLrm5HqqrOwgEMqSf4qvtZLyal1jtGGix1dK1tNgawKAr5KY435n7KS0M09q8n9tu+wlDcpbz2+9Xc/KET/jrUw/wvQX/4PqznqY0aweT59xOfp5zjur1QEdbbfJvVd+FYiYCkprHX/7xBXf+VwN//JXFcRNh9lS4ZEnaYwgIxoqIhQ8nA11fu/5bgo074bz5cX52WR1/+svKhHyX/b67VKedi98H8Vin7beW1lzRT2zyiZqPRa5NXIilZKt27NjByVNSgQ5A0+CCM7rwx1/l2mVfcvk5XYwcChctCHPDJQd46tk1vPTKhzx8UyuzJltMHA13X9eA33iHWy55nWLlH9x6x4sYVjZCzcEVWyUxahWzDU3fbcuFqXkILQ/FPIJi7Jexxz6xi6fTsLtin0jnqPp2FNGR7Heh5dmsR0liLo4r/rldH9f3zogoWizDEy62ElDsVaian8C+WsZutKDpexGuAnbv3pcMdH3tjBMi7NzyJq7YpxnYXf1g3wqiKwP7F8gybTFc8fUJ7Pl2n4mwg1Hriq8E1DTs2Yl+T+0kKkYjmrEP4err93w0s64fiblPHUXr/047FiFoL3BQCPHbtGNuRVG8QvRr9HQsbRCQPsI3ALO+6hwhhKEoSjdQDPTLSf3yy3XcddcXtLZOB1x8+mk7fv+NFBWNIDtb5cwzF1NZOYG6uh7Ky+096HDYIBIxpOJwW0ZKfryWlnAyx9bX4nGLQCC1MmhqCvH2239l2zYfum5Pn/fv30dX12P84x+/SX4uk7EJ9oCdvgI8cKDLoV5im672MGCAfb9QSCcalVegmqYQCMiJ45aWCD6fh+JihUDAJJ3EUFS0j29960YaG0OOnJ3f76KhIci0aakarO7uuMOrrqsrLokuHzzY48Du9aocOtRLSYm98unttbH35f5s7KpDvqu9PeLoq3jcors7nsyX1tcHHYSYrCwXR44EmTw5VUfX1RVzqMt0d8vf88GDvY66SK9X4/Dh3pRbhugFKw5amkKF4kK1OiR6QaD9EE8+9SKW3sKBOgtNgYsXp/79vfWVDBy6me+fd4hJo+0BYdxI+PMdgvuegTuugzuuPcqND/6Brl4XbZ1xStMWFOu3geZOc+g2j0jSTy1NdYxL7CguPhluvh8K8+Hk46CrB+5/tpCl5yziow+cVHNNS4l5Dy2H3u56FCtmP7tSgOobQ6B7G4Vpi6XPNmpMmTIN1TyImeaGrYhuLPxYlmD7zsOsWfsafneIsHiV8y+5DctS0FQnMcPjhiONMCtjh2vEYDhYd4AZ4zodudoLF8CqL+Gc0wx83lqWv/cl550z21aDEUFQ8hJ9ddCheIOag2rWYfblZ4Vla2wq6WxFBVXI5TGqmXDwlpqCYjYiVLuuzfZDjCOt/BWPU75LpOUHk/0XsYNPwqJINesQSZblV6WkTBQRzMCu2jJcEvaj/bAeFRSzOem8oVidpHvSJbGbsp6lIjKk1SBh5xMBslLYlQxpNSUH1TiA2WcZJOKJ7+rrm7ceyzbmCuAmYEPasRnA74FTvjaS/+W2cuUKWlvTLSxKiETmcfRoGJhAY+PbLFnSxciRs6ittWddpino7u4gFEp9STYJwkVtbWqGGgx20NQUlQbVSMSktdVLT4/9ch461MyePQF0PVUEGo+PZePG1WzdujVJj+7t7ZRYji0trQghqKtL6S8aRpDDhwPS4BwOG4webVJb25s4x6Kry4k9L89FbW361mM7ra0xTj11IYHAK3R0TAHyKCjYy5IlZaiqQldXIy0tbRIBJx63yM7OobbWSLtWB7qe+oG1tLSiKLB/f2pGrOs9HDnSLeXCwmGDceOspF5lH/ZwWMaen+92YG9rk6XOolGT5mYvnZ1q4pw4zc2tDuy5ubnU1qZ+pKFQJ2kpXlpaWlFVpO85Hu/h8OFuR7+HQiS1PRUMSl0BLEnWSWCIQrrM2sTzGfz5Dw/xh58eJT+xi/PWJ3DPU3DxInjmrTJKhl5C3YFPuf4cecDKyZZLtCoHNqCbVdz8wHa+dTZMGm0P6G99qnDS/MuT+LOVGFnakaQUVzRqJvkQigK//wm8swqW/jCLSZPGsOTsOVQMzEMXxbR2NDMgjc/z1zfg3LT8YCxq0tbeRVtzE4I2Tl94NTc+uJXLFu9nUpXFivVevthTyY3/VcbhhhgRkeqHt198hVjwMD29MYryo9x7g838Nc2j3PLoTmbNf4SPvhjAeWek2KdCwKdfwMBSO+hmslJNU9Dd69zk6e6FnES8nzXZ4pWHtnHirBEo6LQZRwG7HMWtRCnUjmKRmhyoROk1S5LYAUpcQUiTHmttaUHgoSNt9ZqjRvGrDbZbeaJpSph2vQcT+zyFaOKdSZ/MWcTFQHrM1LUKtSCa0gNptgoKBm1GA32TVI8Sp0CrxyKLsoFDWb+tjtlTU5OFNVvcFAw4jpa2Xgd2Cy+d6di1MH6lP+zdSexqArspYTeJi0EydlcvWobUmYJBW1M9fRuKKeypoK8SodusIJbsd0GpqxdBiMLhfK12LMFuEvBFxrEvkRM//247CtLG8ODEsf7OaUiIUedjE1X6bYpjdgVQCXwMTCQYnMuePZs45ZTvSezBxYsLWbOmiZwcF5YliEZNLrpoFKWlqR9CRUUlf//7PhTFrrHr7TWYNauISZNSSiRHjtQTDMrMS4De3jKEEFRV2TPGCy4YyJtv2sXnra1tZGcXMn/+EKqqUtP2ESMsAoFaenvj+P0uQiGdkSOzOOmkkRL2hQsL+fzzJnJy3JimTcm/6KKq5AoKYODAYTz/fA3FxSXcfPN41q79FL8/xk03/ZyRI1PEi9bW7OSqLBo18Ho1li4dI61ozz9/IMuXHyQrS6O1tY2cnEIWLBgm5eOGD7cIBGoIhQz8fo1QSGf06GzmzZNJHgsXFrB+fXMadotvfKNK8hssKxvKCy/Uoqp9/a5z4omlTJgg93NraxaHDvWSm2tj9/lcnH32aAn7smUDePfdw4l+byUnp5CFC53Ye3pqCIV0/H4XwaDO2LE5zJ0r+8tp8TPRYl8m6opMFAzivospTeS03n37Ja46tyUZ6MAml7x9eyFvbf8B377uMgYMGMADvztMMPQFOWmTXSEgnjaR7uzN4+bbHuaR+7/PWysP8sGaGBE9m4kzlvLty65O+2Al7nAvEAHFx7yTjuONT5o47wx7kFJVCMfzuOqaHzF/rgeh5AI6N914EXfev4IplbsYURHg3c9UJoyytwYBPtngZsqUSRQNWkC+J1ViO/WP6/ns/V/x3Mc7Of64aZx7SRko2ej+JUkSxB/uu55vL9jO2OEWtz0Ed/wwFbg0DX59TTN3vfAyl1/7ND+65woWnNCKaZms/AK+e55duvD35XDZuanHfG+1h1NPncuXX26hq6eWgkQ6yzDgrU/h4VsT/dYFxcWllJX4MbynU+BJLw+uwhVps1cnanaCzj+IfP+i5MoqEomw+pNc3GY1p8ybTnd3O2UlOej+ZRSlETg6O3L4/JNVFBX6mTt7AhphTNdk8nwyW1GLdqIZ1bYZKzoICz3rQsrSWKKKWcjujQ+y/2A706dWMXyID8MzhwJPmmqLGIUr2oZitvK97y7hvgcDbKg+wIxx3WzcO5Bu83R+/PPbUPXduOOfIJQcWlubKSvNRfedS3E6+UQMwR1+Hrtuz4ti9WC6ppDnk4k6WrQjgT0XiINQ0LMvpCyNJaqYebgjryY0OVUUEcTwzKPAMybtfqNwRTrs/KGaBVYY1KHk+2Vylxo/C1d8Ff15rR9LO5Zg1w2UAenr1TIg1P/px9Q2AlWKogzHDmrfAL6Zcc5y4HJgPXAB8Ok/M44dMMDF0cxwSSPQp1Gn4XLJosUAEyYUsWdPgI0bW/B6NRYuHCoFOrBp/tOnl/L22wfp7o4zfnyRg+03enQVJSUv056xyVpa2sOwYcOSfw8alENVVQGffNJAIBBk4cLBDvKGpqnMnj2Ql1+uZc+eAEOH5jB3brkD++TJxezd28mmTW34/S4WLhwiBTqwaf7TppXwzju2qshJJy3gm98c62Cuzp5dxoED3Wzd2kZxsY8LLhjl2LodMiSHESNyWbWqkUAgyJIlQxg5Uk6eu1wqc+b0YY8wbFguc+ZkJIWAyZNL2LOnk61b2/H7XSxePNRhrJuX52Xq1BLeeecgwaDOpEnFTJ8+wHGtuXMHJrGXlPSPvbIyj+HDc/jssyYCgRBnnz1E0hrtw37CCWW88sp+WloiDB+e59DrBAhZM1mzxoLYLkyyGDD0RKbPSH2Hhw9uZ8lCZ93R0EFZXHrZ9bjd9kz6/G/8jHufWckd1zYlt+SefztFItlTp4HvRPKKJnP7L26hvu49du1uZMbsb1A05BL54oobwzMLd/hVVKuNhaeN5y+vDOLnj77HsIGdHG4uonLcN1h05vcRoX+g6dVYZOHLX8Kd915PbW0tjUcbGDFtB7t3/4M/vtxEQzMMKBvCVVeeieGW9xM1TeP0hT/CFXkBVa9j5Wf1fL5VZ3BlkHOWXYHX6yXWtZaxw+1dDJcGrozRJ8sPwuhg4qRZ3HnvK2xf9yjvrdjM2acdYuo4u/8OHYXLb/Ewa2oe9W0FlFdUcs2lfk6edQp3/rGAktxGhNnL3gMhfnWtmdyCvfevuVz93XIspQjLPcnxXZjuObiMF9Bi+7C0cujdQaUAACAASURBVHT/mclAt27tR6x481YuPK0OE/j1b95n4enTKDnjGomW/9ILj9JU82fOmVdPU7vGz27K58fXX8GAkZc67+c9DtXYh6Zvw1LyMXxnSeUQ0WiU3/7qamZVfcGU0SFWvu/jxeAUfvyLq2X7PEVJYH8et7GXn99wJoe7TqWmLsySb4+lvNxmfwv3GEx9Ny59Az6lF9N1vqzxCqD4MNzH4Y68jmoFMF2jMd0ZEl+A6cnEfo5UDgEgtDJM91i0yAoUYhiu47DcmbJwCezR59FiezG1CgzvYsf2p+Ueh5khmvDvtGMpPXgAmIatnlIHjMT2tdshhPjx1waiKIux6/Y04BkhxF2KovwG2CSEWK4oig94LoGhE/iGEELSZEovPbjppj/zyis7CAQmYW8DhIAPgXOwY3yUqVP38MEHj0hU+TffPEBbWzSZPwqHDWbNGijpVdbVdfPuu4eTtWOmKXC7VS67LDXjsizBaad9n+rqQViW/cJpWgPLlhk89dRdyfPWrm1k584OfD4XLS2tFBQUM3RoLosWpQJib2+cv/51r1SrFokYfPe746XtwddeO0AgEE3mtcJhg9mzB0p5ttraLj788Egyj2aaAo9H49vfTs24TNPimWf2oGkpxZmenjiXXDKa0tJU8Pzss6Ps2WNvr/Zhr6zMY8GCVPVyd3ecZ59NYRfCXi1feeV4KQC98sp+urtT+ctgUOekkwYxeXJqP23v3gAff1yfht3C53Nz6aUpjT/TtHj66d243WpyMtDbG+eb3xxNcXEK+6pVDezb14XXm8I+cmQ+Z5yRmul2dUV57rl9SdUWIQSxmMVVV42XcocvvWSvuvuOhUIGJ59cwcSJNvYN61cT3H8x558hS2rd+EAlv75/W+qAMNi+5lbefPsTsr099Ia9tHYYDBucjSX8FJTN4+of3InXWIVqHgDFS2tLCwMGFGBpVZi+05KXUswO3JHnEYlaONtoNE7YcxntHV2UlJTgdrtxhf9h51ISA7tiBdG9pyPcqZWPFd5KZ+MHFBQW895Hm9i9aweqlsWZy+5h6tTEikXouENPY1pubv/tM5w2rYYFc3X2HVJ47JWxXH39c7z3wlJ+8T17BnrH4/DjKyA3bRXb0g5PfXwN1/3oZ7gjLyDUPIQQPPfCxxyo3YbH6ydqDuWib/+G/IJiSj0f8PZ7a9hXsw9V9XDO4hMoH3kBOsNYveoNdm36Bz5XG5G4mwvOP4cpkypBGAilACPrgrR+j+MJPy2ptihWL/Gsy9FNP3f+/EQe/um+1OkCfnB3Kff+7kbwTML0zuPIkSO8//wZ3HRFKu8WjcFtT4zmztu/h551pTSIu8PP2fmoZL/3ovsW2cLOwGN/uJlvnfQkw9I2LT5a56ZLu4IFy+5Lwx7DE3paInDY2L8jBU8t8h6q1QCKx35nSvOw3FMwvSkBZ8VoxB19Ne2dsY119azvyNhDz5Ku2qKYQXT/WVIdpBrfaCvx9OESOkItxfCnLctFFE/omQzswQT21IuhRd5BtRrRs1M7F//p0oPbgAewty69QBT4C3ZJwtduQoj3gPcyjv0q7f+jwIX/6vWGD5/N44+P4Kmn3qKnJ86+fbvp7T0D+5F7KCvbwKJF17JrV2dS7T4WM2loCEmECtvzrlMKdtu3t0uBR9MUurpidHZGkzT4o0eDLFt2DeXl71BTY7Osxo+v4txzr5Bw1tZ2S8G2jwBhWSmn7S1b2vD7M2xksNmCfaSLSMSgqcmJfc+egBTstm9vl86xsUfp6ooli7Pr64PEYqZ0Xk6Om02bWqUgvH+/nM/yejUOHeqRCCpbtrSSlZU6p8+JvLa2mwkT7K3acNigpSUk2R/l5LjZtatDCnY7d3ZkYFfp7IzS3R1PWvgcPNhDPG5JgTQ7282mTW1SEO6r50vHfuBAtxTsNm1qIyvLvl9d3S5WrHiPYNDi/fdzue++6xk9ehTBoE5ra0R6H7KzXezc2ZkMdrNOmMcdb1QxsHgXc6aahCPw8PN5zD99jk3/ThTxKsYBZk4fxsyZ1yWvhTCxtGGYvlT+WY0dJF2eDMWLah7A5DR0XefpJ39LV9MHCCvO0OHjueybp9uWO8LAozRQXp4gXVg9qFa7VEQs1Bw0fQdGWrDzsI/yinJu/+1fWDp3J9/+gUk8Dk++djENh2/nrKWXoRo1gMn7K3Zwzty9nHK8nTeaWCX4w4/3cPtffk0sMhjLOoqqwtUXwm0Pwc+/BxUD4PBR+N2zE7nlN7eg6hsS23v2+3LZpfPBmo3hW4JwDU90S4Df3vokF5xawxVnWMTi8MeXahncFGf+uQ9w3gXf47wLvocr/KJsNaO4bAseEU6uRlR9r8NLXCh+tPhW1m9xs+D4A9K/KQqcOrOL6t2dTJ1Yg+mdx4fv/o1vL5YJJj4vZHvaMfQQ6z57gU9XvIrXFaQrlIdb1JOTFSem+zhryRkcN6MKLb4dIxHseju3SIEOYP4cnVseX8OCc6NJIomq70Zkqp4ofjR9G6Y3wRcQFpp5OI3IAqh+VGOfFOxUfWtia7LvQVUUq9sm1yTcMhSrwzYhTrcs0nLQ9G0YacFOM/bJ3niK2ybApJUoqPqOhLt6OnYvmr49hUsYaOaR/3/ZmIlg8wNFUX4IlADt/2wb8f+FtmDBaSxebA8SH31Uw5NPPktLyyZKS4s444yf4HLlSMn/r3qczMNf9dTytUBVNRYsuJAFC1LXz9x6zFS1+CocmecoihPHv+tvKIR8z3/l+f7ZtZx/O4HJ9xP9nvOv9Et/x/vrh6/zptbV7eZvf1tOd/dcQKW+3uCii+7g3Xd/T15e6f/4eUVRuOOX17L83c9454878bj9nHfu6YwekU28Hwadrps0NAYYUJpLtt+dOKbzxMM/J9S5DhdtxK0yvn/1xWTaAP7+jiv43uL3GZPYLty48wh/eKSDn9zwjb6eSDv7X++U7TuOMKmyhhOn20HM44HrLungJw/9mcVnf8umHCgK27bv5K7vy2xKvw8CTR9haQP5zm1ebr06RlkxDKvw8dMHSxg+LJ+iikXc9tsfkZeXB5GvwpUicm3ZvInjxx3khCn2Ma8Hbvh2kJ88uIIzlqZ+Z0q/z9jfscyXRgEE/qws2qIeMqW1ghEVvy81wfH5cwhn2rcBhqnyyerdNB9awX0/CNDaAXc/Cb//qR0MLQsefLYJIb7FcTNTeT3Lck5uTdMeU/7nZ4FMsfJ/pfXfV6p8j6/4rf5r7V9535R+zvvfCTPHIgQ9QlGUEcBw7Dq74WnH/p9rgwfnSAXQs2dXcsopF3LVVTewdOllZGfnYxhWcnUBtlloeXm2VLcVDhsO2apJk4ol8WHLEuTleRxyYT6fSxqIg0FDWmUBjByZRzSaGhzicZOhQ3MlxuG0aaWEw/IAYlkwdmyqINTvdzFgQJYD++jR/zP2ggKvlB8bOjQHt1vNwK4zfbpsgTNyZB6xmIy9sjJXCujTp5cQDmdo/ilIuLKz3ZSW+iUnhFDIcBTN216DspZpQYFXkgurrMxD02TsoZDhsE2qrJSxx2Km5LHXhz0U0lmx4t1koLObi0OHjuP3v/8zubn2955uGBsK6YwfL4sVKN6JnH/WRH55y1Xc/NNLqRpZiqUWJSW3AIRrBK+8sZ67776XL1Y+yGOP3MvDj7+E6ZrGw/f/iG/M/Qv3XLeXu67r4DfX7Ob+B/9s95mIYWnDqauro6psA5WDLD5ZD6s3wvRxJpq5j0AgBGhJCjlg11ypRcl6OQDFCmG55NyK5RrHlq07OHVmhrs2MKS0ja6uLixXFQoK2dm5BLodp1FSEOfp249w05UxbnusjD8uP4nJx3+Lp564jltuvZOrvv8LO9ABlmcGRryHz9bu47O1+9DjBuBGpMlbbdm8gVNmOiueyooiBIMp1qHtNZheJ2Yi1AFSjslyj7FNStO/LyuE6ZnGlClT+HhLFXraKxyNwYYdxYwZVYCl2USrs8/9Dn96fZg0qWpuA9xDWLf2S669MICiwLNvwS//yw50YBN0fnJ5D++++6Ht95Zow6oWsGazPDz/96su5s9fLJUHWO7xKBmBTbHCmOnqL4qKqQ1G0q8U0ST2ZF+5p9mei8lzLITiz5ALK7ZXf+m1flYvZkYe1HSNTnneAQjDLqBPKzy33BMTOqFpUEUkQy7MZUuy9atLemztWISg9wO1if/uT/u79p996P+qLVw4TPo7N9fDkiWVtLaG2bKljfb2COecM9why3XWWZX4/S6qqzuoqelizJhCZs6USRBVVQUcf/wADh7sYfv2dgzD4vzz5RdHVRUuuGAkoZDB1q1tHDnSy8knVzg82ubNq2Do0Bz27AlQUxOkqMgrbbcB5OV5WLhwSNLPrr09wtKlwx3SVmefXYnPp7F9u4193Dgn9jFjCpkxozTpxWeawoFd01QuvHAUwaCR8IQLcuqpgxg4UMZ+0kmDGDQoh927O9m/P0hxsV/aBgQoKPCxYEHKzy4QiHHuucMdhJGlS4djmlGef/4F/va3P5OXF3BMDMaPL2L69BIOHOhOOFE4sbtcKuefP4JgMM7KlVv4+9+forV1DT6f/KM69dRBlJdnsXNnB/v3Bykry3J4EhYV+TnzzCF0d5s4fyp+mpvtso9ly0ZQnB8l1rsbM1bHcTMLpO1XAMszCdM9BdXYjxrfDkLB8C+Tztm6dQvRrrXcc0ML310W5o5rOzh18lb+8tenUWPrGV2ZGmD8Prjg9CY2b1yDpQ7E9J7K/trdqFYHtzxoTygiMbjhd5Dl7qa+ocGWa8qQhzL8y0AoCV+1A5juqVgZ/nKWZwojR8+lusa5EdTcmU9ubi66ofDGRxCJhPjxfd5kXR7Ah2thYmLndMIoOH6SzrfPH8bkUT1YaoXkjQewtbqOW+/4K1rPk7h6/8Qtt/2ee5/YxxOP/pLq6q0AjKyaRnWt0327vaeErKy0QOaZjuUel/TiA48tT5beFC+671wwOxM+gs3ovoWg5qMoCtfe+BdufHgWj79UwmP/yOPmh8q45vJpWOogTO9JABQUFHD60ge44YFJPP1GHvc+k8sfXhjCjT88G583NcAHw1BSmHF7BbweDeFO85dT4M2PFX7zODz3lr3lu3O/guWbm/FhH7r3bDDaUeNbEtgXJ7fG+5rpW4ilFKLGd+JT6rDUYaltzkQTrkEY7nmo+hHbR1BEbVm49G1SRbGPCSPxzhzEcJ/gkNCz3MdhuapQ9b2o8WoEWTYJR8Luz8Deiu6ViToAhm8RliJPRP+ddizbmNKvXVGUgcDtwJqvjeI/0A4c6GLs2NTs2rIEX37ZkmRSBoM6X37ZwuDBOdJKZO/eAJ2dMSZOLMIwLPbtCzBlSrHEagyHDbZv76C8PIthw3IJBnW2bWtn3jx5k33jxlaEsN26o1GLzZvbGDu2UBrom5rC1NX1UFWVT0FBPPl3+srHNC02bWojL8/DwIFZSezLlskvxZ49NvbKSlix4nVWrepm8eLJ/PjH300OAKGQTnV1B4MG2au3YFBn+/Z2h2bnl1+2ACKJfcuWdsaMkbEfPRrk0CEba2urTmNjiIMHeyQ2qWlabNzYSkGBh/LyLAKBIHfc8UeCwVYGDsznJz+5kvLycl57bS333PMYHR3TgGJuvvnvVFev5777bk5eq7c3zo4dHQwenMJeXd3ucJLftKmNDz54kW3bAoRC49i0qYt33/0+Tz11M9On2yzChoYQhw8HGTu2kNZWg/r6IEeO9DJiRCoXYRh2vxcWemhs1JEV2rupqrIZuDnaVi5auCFRINsOoh7dvISjzUHu/vWVRIMH8WRV8MufnsmwoUNAc6NYQTR9J6Ynpdf14Tt/5DdXyIW+J0yJ89Kn7zOiXK5ZAhg60KJ6ow/NPIJl1jNm7CQefFHjL3eZya3c+XPgoh8rXPqdYlR9I6ZriXQNTd+BIoIJhqKOqu/AdE2S9RfNLuYd5+Wntw5mxvhDDEzMQVasz6Ks8hx6enr4/e3n8Z0lOznrUpMP17lYcq2fsSNUDD3EzIlweRovobw4THtvBQV5gjzzEJZ5NKm/aJomr/ztRh696RCKAgcbQBHtnDPjGUYMhrdWPc9H757FjTc9wq03DGdy1d5kTeB7qz0MHbUELV1+xQygGXuxtGGguVBEAFXfheWxnd337d3N2288ghGuZfrUESxaMBuVKC59I7prJCgalZUjuOuBD2k8shZP/DO+Wz6Q1tZmtAzss+ecwQknzOPo3kfJy4XiomIUESQS9yTTFQOKbEZpZZr2ta5D3NSkPOLhmg954GaTYAia2+16TFXV+eVTf2Dm8aekPiwEmrEJVB+WazpYYVz6JnTXCClIKUYdqtWM5R5HVDSTbx7AMpsRrrQxS8TQjK1YrlJgCIroRdM3Y2rp9cqgGdtQiGK5JwMxNGMblmeiVEyvWB1oRg2WaySgoYoOVH2vrHspBJrxZRr2EC79S3TXsAzs+9Gs1n49II6lHat5axpO0QzcAPzua2L4j7R165qlrayami46OqJJRYycHDeNjWGOHEkt2/sCYm6uG1VV8Hg0/H6NNWuaMq7diKLY256qqpCX52H79nbJtqa7O86+fV3k5rqTnmq6brJpk5zEXr36KDk5blwuFVVVyM31sG6dfL+9e7sIBGLJ8oCcHDcNDSHq61N6cX1BJRZr47HHHmHt2nJ27z6O++/v5qyzvk8oZFeIrFnThMul4PVqSexbt7YTjaawBwJRamu7yc31JLFHo4bDG2/NmsYkdk1TyM118/nnspLCrl2ddHfb9YGGEefZZ+/npZeivPPOaJ56KodFi25i+/Zd3Hvvf9PRMR+7NCSbcPg4Xnxxv1SgbmNXJexbtrRJMm3t7RHWr9/B9u0dhEIzgWxgAHV1J3HLLY8mz1u71pYnS8eeaTy7Y0cHvb065557MSUlqyBZJNvNhAnbuOmma0DoKa86RbWJI4qHg3tf5pYfTeeuazbw6oMt3PODrdz2q/vZuc9WlhBanu15l7a1JMxeBx0fwOuOcKCx3JF3fGd1LsfPHItQc3HF1nLo0AEuPcuScpaqCgvmKjQ0m2hGHYqZ9h2KeMLvLU/CrsXXSvdxxdegqF7u+NW1/Pc7c7j1sWHc9HAl9cbtfPfqX/DUEz/nvh9tZ/ZUk7wcuHCBwW3XxBk76RTKygZIgQ5gW00hI0eUAVoCe0parbq6mtNmHEg+w59ehD/cDNPHQ0EeXH5ONxMGLmfzxtXccetF/Gn5CQk8IwlY53DFpXI9myv+mV1Yr3jsflfzcOmbQBh8/OFrrHrjXG65+EXuvnYzhcob3HXPc4marx6HR+Cw4v2UVwxKMChdCe8/ea7vMrYyfFguxcUloCgINZfzl87ml09UEAzZNYJ3/hHqE69aVw/c8kgxl37jLLTYurTvzf495mTDqGF2jlTTAKNN3nY2623Vlr7VkJoFVgeqkWKP2v2wzl7tSdgzJO3imwDdDlqKglDz0Iw9YPWkvTNhVL3aZmwqSmJLVelH6myVzW5V3Il+z0XTv5C3P81DqGZTGvZssNpkiTkhcMU/l50Y/s12LGzM/toY4OvTZP4DLRIxMAyB223/ahoago5aMr9fo6EhyLBhucnPxGKybJWiKA6X666uuEO2yjQFPT3x5LZoW1vYQZTweDTa2uS8RyikO64VDuuSXFhDQ68Du8+n0dgYYsiQ3MRnjIQLwUu0tZ1K6qsdwJYtKo8++gw///l1dHfHHA4OhmHR26snWaGtrRGHSoXXq9HaKmMPBg2HXFgwqEtEnMbGUBL7unUfcujQeIToW4llc+jQidx22yN0dbnInHv19o7lxRff5Re/uB6wXR0ypcAMQ9Dbq1NcbM/mW1oi7NixgWBwLHJTaWgQhEIhsrOzE88rb6Wm5zLBXnX7/Rp+/yCuu+6HfPDBGwQCQSZPHsy99z5mq+pbXYl8QlpNoKJy19338fSdseSW1ZByeOa3Jt+9/Wn+/swvEifqKCKESOQxps+Yy4rPP+PMuamJR30z5OQP4aQ53+PWR3/C9ZfUk58Lz73jx/LNZFC5vRJVRBC3y41uepD8xwBUL263hlDdtvSTlliaWb20tneSnVNKVpYniV0VPdIsWhE9oKjkZHv5yQ0X2cfM3v+PufMOk6rI+v+n7u04PYlhZkgDzDDkoAQRAUFBRVkBUYxrAsScXRPqmtasizmsGUUwobvumkBFURCRKJkBBoaBYXLsfO+t3x+3p7urG/fd8O7723oeHmZ6qut+u/reqjrnfM/3EPHZOuwyUqYkzAOMHWby6YsVdO95PM8s/JrZp9UTisDzi7I5dvxJyj0okpQ9HA4HkWjiO3Y57YU+uc04oZX73l7Asdcfwc1x4o3dpKVaxkK2peVtISNIy8+Kr59m3o2Jw+eJow0O1G5n05b9DBnUHWEdxNbSICYX5k+Tt9KkmmYszBqVKQsMPaIYX/5zPPrB+xjhBvocUczCbzbR2tKMy5PFZZefQlG3DkgrUTzYlzuciqo19EhyuHy9ysGwYQNjSe/tcmEH1EK3AJrPFqNuZ9RKAyGDadiV+BzYyd1CnWyJQFh18XQEYTUjMFXKSKzIq/ISbWlMMSHD2CT+drmwA2qhWwDhQzMPJEnMRZXP+++0f0Yb83tUWkwGMAi4//Dv+P/bMjOdyqbVq1c227c3KtT1YNCkpCTxlHq9jrQF0LIk+fnqzVtQ4KGpKayM73RqClEiNb4FdmHRrl1V4kJ2thu/P6K4UjMzncpiUFKSTVlZcwp2QyFU+HxO3G6d5maD9K81nw0btts/5XsoL29RNliXS49T9wG6dPGlFYINBAyGDFE/U3a2i2AwqmDPznYqvxcXZ7N7dzM+n5M9e/Yg5YgUbBoNDSZOZ3rStRBtFBUl8v86dvSwb19rCnZNqfPXrVsGWVkdEKIVKVU/v8dj4Xa749iTLUJAmQOAnj2z2Lu3hYwMBzk5BZxzzmW0tkY5//w+5ObGFhiRBVrKaixNXHpLWmwmNxsy3UkLjHArVO9Jv5nJkw/9lbL9ZRw/oo1Nu9ys+KWI3993G+6co+jT92vmv/8CweafmTxpNEMGFVFTbUteWVoWo44Zw103lXLK2K3xw0o4Ar/sKuD82fkIqzVef231qu/4dPE99Oq0m4YWF6ZezO+uPw+XEyw9Jd4oOsQqayc9G5rb/uyAYaVXkQ4Ewe1ycOHFN7J9z0088fHLuN1ezr+4C127qgtXezymra2N5qYm/rK8CzNO3IvTCcZhfFc1DZCb1xNIidlJI149ITF2LppVrWCXwkNzi0lRvuplATjpmCCLV25hyIAOWM7i+OumJflpXR2aXsfwI2NxaSnTYkmW3gU9ekB16WFR3HskN8+N5UHKSCw3LmmTklGknoivX3rVfTx05wpGD9rNkX1DfLs2k0MtA7jtplEYyeQavRg9ukZNGbDasFxJ2lrCEUvlUFmVUqiVHyy9K3r0EKn6mFLrlPRzB9IKrsqIgh1AitxY7b8kCUDhJVkP1Ma+zq4H2Q5VtmE5krG7QKSvpf9K+2csu1dTfvcDG6WU/5UEleOPVwtClpRk0717Jvv2taLrGpZlUVqaqzx4miYYP74bX35ZEaP2SzweR9pYo0d3oaKijebmMJomME3JmDFdFMJIZqaTYcPyWbu2Fl0XWJa9WKeSLiZO7MaHH+7GMCwCARO/P8q0aaoIXJ8+uWzZ0hATOdYwTYt+/XKVcjQ29q689JKdCKrSgwN07mzf2GPHdmH//jZaWyNx7OPGdVVicdnZLoYOLWD9+rqYAoWkoMDLkUeqC8kJJ9jYTVMSCBgEAlGmTVPJuX375rJlSz0HD/rJysoBWiClRElOjoPS0h787W+1SNk+Pya9e+/gnHNujfcbN64rlZVltLZG0TQb1/jx3ZRDR26uhwsumM6PP95KbW1n2jUENa2OMWO644j5CU84oYiPPmqfd4NAwGD6dBX7gAEd2LatgYMHA+i6wDQtBg7MIy8vWcBXx3COxRFZhkSz3TRaBv5wNuGInyRuAtEotAYcYPkBC8N1nEIYEY48brn19+zb+S1rf9lHad9CHjlvFIbHLupZWFjIFdfcizCqcIY+RlptaAQQVgDDewa6rnPxFX/imsev5egB5UQiBpt353HtlWcizGab5abn0tDQwJcfXc+TN+6NH75376/nmefh5hsuUIgLUkp+2uRl0+ov6F1SwPHjBqALSdR9QnwDGTB0Bp//sInJxyasnKffyeL0M87AcvSjbz+NvrfMsz+jcQAR+gsSC40gQgYxPJNZ/N5L7N78JyYM28sJR2Vy2rVuJo8X1DYarNpocMyR7Xhg3jvFXDP3GgxXBY7IciS67drTstNIF6b7eLTgIjADdt6YtIh6TiTTnU1tczaqIBRs2eWgpHseUu+GdNismo0bV/P+mzcwaeQuTNPitnfzOf204+lUkI3hmaq833IOQzd2I8xapNAQWJjOoRiWl6++/IiD+7czasxUhvQ92nbPxe+ZbEx3Qq3E6/Xyh8e/YPNPj7Fmzz7GTexF714dibrHqxuIowumoze6UYZER0gTy9EDmcK0NNzH4wz9DYlEIwAyjOFRC8tYzuHoRhmY9iYlMDFdRykJ3ggPhutoHJEfE9j1HEz3Mer1XBNwBt/DrjovEEib9JN0EJaOIky9FN3cg8S+nqUXK6xbG/txOENKCva/1P6ZEj/zU/59+N+60QF07qyax0IIevfOJRy2KC9vJhq16NMnJ+193br5yM52sn9/K7W1Qbp18ynJzmC79Hr2zKKxMUJFRStut05xcbpPuaQkB02z66m1tkYoLc1Kc1nm5rrp1MnLoUN+qqtD5OW5FZWSBPYcQiGTvXtbME2L3r3TsXft6uPEE0/C4/mJxCnOpLh4DbfeOgew44w29jAVFa14PL+GPRshJHv3tmPPOQx2D507Z1BVFaCmJkxenicNu6YJ+vTJLom/vQAAIABJREFUJRAwKCk5jry8H0nOWcrL28ScOVN56qk7GTWqlpycr8jKWsbAgat4++178HoT47ndOj16ZNLQEGTfPht7jx7p7o0BAwo555yZdOnyHdnZ31JUtJwLL4wyb95dSdf1UFjojWMvKPCQn6+eaDVNUFqaTSAQjSXLc9h5t/TuWCIDYe5Ds+qxtO6cP+sx5j6px1mJUsLvnxGcffpYhLkPKbxYeo/0sRyllBR35KwphQw/Ih9LU4kGAFLviKUVoJkHcYoaLK0Aqdkeg/4DhvDQk8sYPPErjpn0Io/efwHdOzUjJVixtIO/LH6Fa8/eq3iZSrtDRfkmHnz8I9at3QjYZJF77ziPuq0Xce74pTiD73PLHc/RHNCVytszzrqU8sBN3PxUb+57MZubnihg+MhJ9Ooz7jDYC7C0/Bj2WizRiT17m2jYO48HryrnxNGSOTNaefvhMLsOdOXaK0/n+y1juOWpXtz7UhE3PnUM087/E3l5eVh6TyzhRRj70KwmLK1nmlWCyMDSuqNZ9QhzH5aWhdSKcDgcdCyazLufu3j4Zbj7GZv1+ORbTn78aR1vv/czwVAY0zR5740bePaWrUybEOH0Ew2evf0Qiz/6EkN0Qmq5KddzYOqlCNmCMPYhpaC6IYc7bjyBLsYVnDvqMbZ/P41HHnsOS7oQRgWa1WhXDU9xf6L5OHLYaM6eWkzvngEska2kASTumd5Iy0QzymMpBb3TXIhS72Rb6GYlTlGHpXVW0l7asVt6bzTZGsPuwNLS1ZelXoykHXuT3SfF/YmWhaV3QzNrEGYllsg9PHZnH6QVRTPKkVYEUy89DPYuWKJD2nv/2fZ35cJicl3/Y0tWOvn/2ZLlwhYv3q3Q0puaQrz11g7F5dXaGmH27IFKGZd3391JIGDE89zCYZPBgzsydmzCeb55cz3ffnsg7laUUmKacMklA+IuPMOwePXVrYpbtLU1wtSpJYr7cenSCsrLW3C5bNmqjh3zyc/3MH16AntDQ5AFC3Yq2NvaosyePVCJ5b3zzk7CYYNt29awbNnXBALQrZuHp5++kYED7RjWL7/U8f33VfGqAFJKpIRZsxLYo1GLV1/doqRl2ESNkniMEOCLLyqoqFCxFxZ6FeuutjbIokUJ7LW1lSxevAin00l2tsall05j+vTJLFiwg0jEZhFalkk0CsOHF3L00QkXyvr1taxcWRX/vixLIgTMmjUw3icSMXn11a3xeTFNA7/fZMaM3nTrltgYP/98H5WVbTidWhx7584ZTJmSeLirq/28//5uRR3F7zeYM0eVaUuVT8IKYrqO4oO/bOGTD+6nICdAXZOTUycfx2/PjTHbpAXoRH0Xx8f5NemnqOcspCPBOLXlk6pAOGNyYXk2Dd6bqBkkjIO2EG8Sq1JYASK+OTz71N1cN+UlslPOCXc8CfdeDQs+y6TVeRUZvo4Mzb+DkYMTvsRDtfDKp2P43XXnEU2qHI0M4Wx7FUN6cTjaJbBaiHrPS8QIAUfwE7uUjXDEsHfgj899zfVnfJmGZ+4zhfz+9zGBJitA0D0LhzN2+JESZ+DN2AcT8T6m61iF8adHVqFFNyQ2QWkhhQsj4wK+/foTVi25mrlzWmn1w+3z4A/X2UzJTTsFz314BKeeeT/i4NlMPV6Ngy76zEmvI65h0JDRmJ5JSfNegTP054TkFnDfg6/y+1mbFYHvT5Y50fMuZsL4WG6d5cd0jcdyJfLV9PAKNGNTCnYPRkaSbLDlxxV4XSFwCKuFiPdCpTCrI/iRHVcTepLEXKmizCOMctv6SyaDWGGivjkJN7C0cAZeB/T4vB9OYk4PLUcztyU2cGkiRSZGRlK9basNl/8NZHL1cquVaMZFkKTQ4gh8iJDNRH2XxF/7T8iFdf8f/v5f2w4dCmAYVtwa2bix/rC1ybZsaYgvqMGgoTA22/vs2dOsbHapsT8hBH6/XXG83bKprGwjGrWUzS4ry8WmTfXKZldR0aa4EB0OjYMHA4pc2IYN6didTo1t2xJSZ4GAQWNjiMxMJ4MGjWTQoJHx8QYOTMS9duxoVMrfCCFobU1U7QbYt69FSZIGyMy0cw+TN7vKytY07AcO+BWCSqo8WUFBETNn3sjo0V3ibtG2tihNTeF4P113oOu2pFfyZrdzZ5MyD5pmk4caG0PxpPjy8haFhavrDrKy7NzD5M1u//507JWVKtnAnnf1ERHC1hdtlwLDakHIZnWB0Lxoxm5mnDWTGWfNtMdPk63SEFaLTXCJWQeasQuZqhojfGjGRszkzc46EFOTbx/LiW7txwT8fj8vPXMb0dbvsSyD3I6lXHXZaTZBBYlm7GHS5It5+9P3ufqchvgQobBdKcDlgtnT2/jDK++yP1zKpdeoQbPOBRBsO2jXQrNa4taBFt0Jmo5DiY1lUntgGb+79SHyfIcwTEFUduD5J2/A026ACRcabUpeXtIHS/rZwsl+JLGacLIRIVvjm4phmPzptaXU1byEpmejZwzhimsfI0/frVp7QkOzGpFmK98t+SPzbrAZzfPehBfuTmh1DukrmXvxRuYtfp+Jg9PXVdMUCM2JZlYoZB49+osaPwMcslbZ6ACmHBfl9y+vS2x2mg/N2KFsdppZnoZdWA1KioJmbI0TnOLYpBd/w494O54Sk4kz0cxDquSWcKOZ+1KwbzoM6zGCMCuRsfpywqqziTrJcmFaJnp0myIxp1l7VUtV6PYhRyakznRjM1JLsWZFBnpkI6ZnfGxwA806FKso8u+1v7vZSSlnAQghnFLaKexCiGNR3Z8//tso/gMtWcQYbPaizXC0H0bTNNi7dzvdu4exizcQY/ql39ip7EWHQ0uT/mov99PeUhVIwLZEkvskrpmOPdmSd7t1LEsqfU1TKpqaqe/5tfFTP4uNXSguSrdbT6O5WxZpzMvUAq/tryXPi8ulKxu3jR3lEPBr8546/uHm6nDYUxdOy7ILxqpjpc9D6vhut5aGXUqpJvMLB/Kw8kmp46fLP9mfObF5S9y2xacMZ5FMxPj6669pPLCe06cMx+NxJb3XHv+R+y/gjvOXxXPhyvYd5LF5bdx520WARAoX/fr34vtvL+aPb7/DaeNrqKiCD7+EuUkVgo4bWsGbX3YjGgVnCh/BsHQ7XpMUb5Ti8NivufZG5j/oj+fCbdsdZM6Vj7DgjYQz6PRpx/HSh7u4fXZ1/LWaetDdiSR/gVQWfomD5Iv98el3OWfCWgaW2l9+bcNm7rmngsf+cAGpt6lE0Nzip1vHxPUsSxWlBtvC87kPsWR1KdOO3xIn/RgGLF+fx+nnq7mp9jw4YrJbiYsaZvp339IGHk/SRiYlaOpyLNERKTJlAoF6L7khact6f/G3bNm0isIOUaqbOjNwxEXMOOtSDh+xSr2ew1ZjSc5xQwJJm6lwHkbNS0KqjJnUQaQou6Ar2O1ai6mnHCOlkK5Iw/mvtv8xZieEuAJ4PemlJcAC4B3gY+Ci/xUk/8utd+8cZZE64oh8DEMipWT9+hU8+uhDvPzySq6++nWmTLmMxsZGXC47fpUsI7VnTxmbN3/JN98sj29eRx1VqMhWGYZFYWGGwsbs2tVHTo47RUbKYORIlbU0aFAefn9irFDIpE+fXGXDGDasgGjUjF/fsiQOh1BkzOx4loq9rS2aRio56qhCWlsTFPto1KKw0KswEYuKMuN15RLYo4fFHggksAeD6dJqw4cXKJgsS+JyaZSWJk6GXq+D7t19CjuyrS3KsGEq9hEj0rF36ZIRr0oA0KNHFj6fQ2GTBgJG3AJubwMGdMDvT4wVDBqK/Fr79ZKl3GzsuloKSGTYsYikfDlhtmG6hitjma7hCDORF4mM2PJJScF/6ehlL+jJuUgyhOkawebNmzn/9CKqf5lBtvUuV187l5df/yIGLIDlGMC2rVsZ3mt9fKMD6NNTkuvZTW1dCwhvPPg/54p7OOW33/CX1VP5YImXZ+600yPszwmffOcjM6cHD76ixig/Xe5m6NBh9mdOYgVKR287bpOE/f2PfuS8yX6lEOyAUujbo5HyffVx7D1Kx9Ft4O3c9mwfPlnm5vn38nlkfm+uu/rs2OC2C0wpSaNl23EnGaWpOYBL7opvdAAFeTB+yC+s3Won8CeAhpF6T3yZHalrTlgLkShpBzx/AHRnPhde9jzXPj6E977wsPBTN9c/XsS550xByEBa2RrTeXTK9Uy69RjCT5tUC+apd3I58/Tj478L2YbpVJnKluMIhJXkbZBhTL2nYjFZzgH2xiItli3fhB76ksdvPMQtM+t54oYtaI0P8/33X2E6+thWVfyNAUxnqlLOKEhOpZAmUuQi9YRXQWodsPRCSJL5srGPTJmHVOwRTL3E3izj2AfZG6dMBLYFVixZvX1wHdNRqmL/F9s/QlC5GHgi6fewlLKHlLI7cAIw599G8R9oEyeq0k9er4Pp00vYs6eKxYu/oqZmIoYxkIaGofzww2Cuuuo+AE45pQdZWS42bKjl+efn8cYbX/DCC37OP/+vnHLKJbS0tFBUlMn48V3YtauJDRtqMQzJ9OlqIFcIwYwZpfj9UTZsqGXv3hZOPrm7UmYGYOTITvTtm82WLQ3s3NlKYaE3jf2ZkeFg2rQSDh70s2FDLfX1Ic48szSNMDJ5ck8yMhxs3FjH9u2NDB+en6bR2KNHFsce25ldu5rYuLEWITgs9jPPLKWtLRLHPnlyMbm5avB/1KjO9OqVzebN9ezc2UrXrj6OO07FnpnpZOLEfD744B2efvpxvv12CdOn90zDfuqp7VJnNvajjipI08YsKclm7NjOlJUlsKcyV9tl2pqa2rG3cuqpPZWDCMDo0Z0pKcmJYy8q8nHssepJPSvLxZkzishy7kKLrCc/5wDnnlOSnqfomYqUTls+KbqdqGtUvFRLe5OOUqKu0WjRHWiRjUjpTGPyITSi7hlgNaFFNqBFK4h6poCWxSP3TOG9J9q48lw462RY+LjJhrVf0lq/GUvrgekaQ2VlOf26q3lmACVd/VRVVRL1nKmc2ouKiphz7etkd+hDRYyUWFMPl98LE0YGuf6098jKsDjtuo48/mZHbnuyA/sbBnLaqcdieKZQUVHB00/czOMPXcn69euIus8EqzGGfT9bdzsZ1DsNDv1LJGXbfsIrdmFpJZiu0Uw7fRY33f09mf0+Y/wZ33DvQ++S7apCi2yw4zipslVA1D2Vlat28cBDL1LYIV2Qs3/PVioOGkSdI9Ai2+15JwPDMxmn00lOp0msjm1CUyfAc+8kfV8SHnmjiBnn3sLAQUN58MnldBuxhNJhd/HEfZMYVNyMpfVWFHAA0POIek5Bi+6NYW/joite5budc7j92T48Nr8rNz45jBETnqFnUW5srsqIOo+NK7G0N8s1CMNxJFpkm41d+DA9k1PuGSdRzxkIq47l337BBaequbAXTWniu6WvYLonIEUBWmQTHrELS++L5VIT8KXeEcM1CS1aHsMeIOqdkUYYMTyng2XEsO8i6jpOVWIhJo/nGIIW2RrDnqXENm3srhj2WrTwBoRZRdR9WhrJyHSfgBRqOsy/0v4R+7BESrkx6fdkWYGNwH+lEPS6dbWKLqRhWCxZsp9du1bS1pZaXN3L1q0tRCIR1qypp74+hGVtZe/eDkSjNv04GOzITz+1MXfuEzz44J2sWFFFSUkOui7w+6N8++2BND3Or77aj8OhMXRoAYZh8c03BygqylJIJWVlTWzf3syAAR2oqYly4ICfjRvrlBSFaNRi6dL9FBR46dYtk3DY5PPPKzjvvL6K9bpq1SGam21rzrIka9bUUlyco+hxNjaGWLHiUBx7W1uU7747yKRJKjNw6dL9uFyOOPavv95PUZFPIa3s2NHIzp1NDBqUR3W1QUVFK7/8Uq9Yk+XlFUyffhPV1SOAY6io2MeOHZezfPnr8Zw3gBUrqmhpSWD/+ecaiouzlXzFhoYQK1ceolev9nk3WL78YJoe55Il+/F49Dj2r77az0UX+RS37/btjezalcC+d28bmzfXM2RIkjUpI3TPXsy504m5b3aDqCeKmsish39Aw4/lOhKkiTP6E1FHsULMEGYdzuiPWI7esfhFG3r4B0zPBGUsZ2QJaBlY+lCQURyhpeyqn8DQvi34kkMuAq47X/Li23v544PlWNGtDBs+ivdeKmL0sEplzLXb85g4pQhHeAlGhlolSw8vZ+7NM3jh1WxaGsvZXlbHgkfCZPrs0/bvZrZSmJ9JfvczOHbMEegOB8Jq45vPHmXz2gVcd04VGR5Y+MVnrFk+kqsuPTGO/fTJFp/8RWPEINVVtXyNziMPTyAQaCbb2oUV3YF09sPj8TBixAiQIRz++ViOIhDFIIM4IkswvGcq4zz1yG8Z1O0H/nhjhN8/S1r76ucuTP3tAJyR77Ccfe3N0mhg8Tt3sGPnbiyps6hmKh9+twcnh6iscXD94xrZGSGC0SymnvskvUp7x+ZbcGR/C0cYpDaEoKwm29qJZZQgHUmaljKAI/yNgt0Z+YrLr3kQw7iPQCBAVlYWjvCXYESxXENj98xKIo4SVq5ax7IvX0YQoaR0OOdP82G5+sVijU3okZ+UsjxIC2fkS6SWg+7ISAtlaBroWhgtuh7NOojlGhKTC9sWw56UomD5cUSWYTm6gyixpcfCS9UadIAeXgbCTGCP/EBE7wl6wgsgjP1oxkYsZ/8Y9jr06GpMV1IxWGnhjHyB1HKR7k4gIzjCS4jqFyguci26Ds1SU0T+lfaPWHaZQiSy+qSUyUqkvti//7q2fn2tEjPburWBYNCI3QzpH9uyBNGoyS+/1JOV5bRPqtHUY2kmmzcf4ocfDuLxOOIxHp/Pya5dTYoCR319kP37E8onDoeGwyFYvVr90pLlyYSwZavWrVNluTZtqicUMuOECrdbp7ExzN69CRmfaNRi06YGMjPt67XLaa1cqUpgrVx5iIyMBPbMTCdlZU2KO7KmJkBlZVu8hl67pNbPP6tJuKtXV5OdbUuK2dhdrF2r9rn22seorp6IXRVKYJrF7NzZlyeffDveJxIx2bKlIU5Q0TRBZma69NiKFVUKdp/PwfbtjYpMW1WVn6qqgDLvQNqcrl5dk4Ldydq1ah8tuh6wEq4X4UFYtQhjf6KTDKMbWxIBdKEjhQ89skIZS4/8YCf2thM4tExEZDOmkXD1CKMyxlSMnWyFE4SFiGxKizuBLR9lWpYtuRVdQ35+Pu78s5j/SQ7RqE06eW6Rj/6DxuLxZqNZVQjjYBL2EJqxHZcnhxuuOZO7f38Lg/rmppEpzj25jZU/bUWP5SiGDTc/fPM2v7+0itxsm9Qyc1ozWngVB6pCcexHDu5MWVUpb35sx7kCQXj4ZejY+Qgys7yALafliPyUMldr7N28fcETXjSzCmEkYmzbtqyhKPdHzjo5gtcLo4fCk/PtaxgGLPw8C8M7naKOuxJyaMADj/+Zgfmv8eiVX/PoFUsY2WsJJb3HcNfcq3jx6Zt4+IEbmHvH7dx/9yUMH6R6YfToWps5KEQCe/hntU/4Z/s7TsZuVCLMWhwOB9nZ2QgZQDN2JVzYQkcKLx8tvItDm2bzyOVf8OiV3zCy2zzue3RxHLtNBPlFdSGae2ySk3CTX9iTXRXqd7dzr6Cgy9F28nacfNKOfVXKvK+2cbdj1zLQjAqEmSAyYbWim6nY3eiRH1PG+jEmT9aOPQs9shFF6swos+s5trtlhQtbjmxbYiBppWD/19s/stltBib9yt9OBrb82yj+Ay0cNjGMxGZXUxPE7dYZPXoiHTpsSu1N//4ZgINo1D6FulxOUmtYAWzbtoebbrqLd955nkgk4Uc2TZQYUGNjOK12ncOhpUmPJS/Uya8ll7uprw+lKbu4XBp1dYnrh0IGxmHkJoJB9TW/30gjfhiGTMOeStZwOjVaWlT6derY7a8lHzIqKwOkKi5I2ZXvv9+gvCeV/SmEUDbgX8NuWSj9GhrSsbtc9uFAxZk+76nXE2YDqblPUjgRVn3SC0HlAY6BR0jVnSRkKO4Oam0L8cAjb/Lgw/OYd+8o7rvjLGpqahBWA1KksEGEm5IiN+t3ZBJKUQF7bqHGzPOPj41vX2/OFfdQNHwR974+hoffHsnR46/krDOOOyx2IQOIFHld00p39rT67STn8r213HXP89x99x/oXlid1u+UMW2sWJW0HAg39997E+9/04eTLtGZfIWD9bu6c+tNqmWssFQBYTWRJlsldIRMLLorl3/ElHGJOZ4xCU4eCzPvdDL3ldPoOOAdrrzuYQSJPjvLDlFSuJNjjrQ/s6bBbye3UFH2F0KR1KXQjbDqkgBY9neY1lK/5xYlLmVj1yBJTktIf9q8G6Zk66ZvmHVaU5wIM2KQxZGlu9m4KXkHiyrxK82qi9+jMy84macW9eGTZS6q6+DPy3w89eF4Lpx5I0Kq686vY08hrQgBsimpjy2IoL5RT5ceI1243F5PEzdxMvbEG+0DpfKew2L/59s/stk9BbwghJguhIjVaBSaEOJ04LnY3//rWm6uW2E+9u/fgba2KFlZeUyePIaCgm8QoozMzE0cffRaXnjhbnw+Z9y6mDDhFLKy1qaMupdIpISamuNZu7aEd955Mf4Xt1tLq2eX6lIIBFSJL4D8fK9CppBS0qGDR4kL9e+fS2uruhDbRJaE2yAz05mWnmAYFp06qafTbt18CmEEbGZkXl7ipuvePSs9WO+PUlKikhU6dnSnYc/L8yibfF7e4ViIQYqLEz747GxnmvZnNGqlCQN07epLk/jyeHQ6dEiuZ5eVtnG2tUXTksHz8z0KdsuS8Srz8decfRBWq/KakNGYknv7C9mq7BPY5BNNrcRgkynsh/bRJ+Zzw9kbeOi6Rh64upL7Zy/ljw/+FlMvJrVul7DasBx9uGHuYmbckMGCT+Dz5XDhbTolfcfTpVM2SMuuSxdrR40cw213PsltN57GwP5dWb5iOx9/8hO1dc2KFJMUuciYFRkKRfli6QaaAlls2aUuC88s6si0U8fy3Auv8+i1ZTx4XQv+QHp+7u79Trp1TWLHmC088cSzfPhYGcvmm3w33+CZW/bz2BNvJc2VhSXUuLLlKAUrZfGUFpYjESboUjSEPZUqzt49wOnM4ojhkxk0eFhs3hNkil+2lDP2SDW9BKBvj1aqqlSrXsg2DtTm8fHit1j14/dIBJbWQWWxSCuezB/HrhfHFHIgHDb44quN/PXzDbSGEv2klpcWl6qrb6C4c/oGcezQIJu2JMTQpfCRLJ9l6X3jBx2Px8mjD16Ft+A8Fv5wOe6eC3joiT/j9viwtNwU7CZSS5FW04vVGnSAQEPqiXic1DqSLtMWsl2fyWOJwrRDoO3ZSJI6c/RFWOpntuXCknRthQtEupDDv9L+x81OSvkuNkFlARASQhzEVvN8C5gnpVz07wAQQuQJIZYKIcpi/x82VV4IYQohNsT+ffI/jXvyyerkFxVlMnhwR5qawvToMYrLL7+Bhx4aw5dfXs6SJW9QUFAQe18PQiEDXe/K+PGD6dp1GTk5PwF/BSqAdtZRDuXlYfburSEQMJgwoUghXXg8Do49tiutrXbZnvr6EN27Zybys2LtxBO7I4SgpiZAfX0Yw5Bp2Lt3z2LgwA40NIQ4dChAU1OEo44qVAquCiE46aTuhEIGhw4FqK0N4vU60wgjo0Z1Ii/PTV1dkEOHAvj9BhMnFimba0aGg7Fju9DSYmNvaAjRs2c2AweqX82kST0Qghj2CIYhOeUUFftll03B50s2/iWdOq1m7txLFeyTJnUnGExg9/mcjB+vBr3HjOlMbq6bujp7HgKBKCec0E2x9nw+J2PGdI7Pe0NDmF69stOK2J50UnekhObmFoJ+O8/rlFPUuKXUSzEdfRBmE8I4hLCaMV2j1FphQsNwn4SwAnYfsxZEFqZ7LIZh8LdPFvHYg1fx0ed7iRo+qg7soWd+hcJQzPTBxGFb2bBxJ6ZrNMJqRRhVCLMR09Eb6ejNiKNGMu+ldXy+djLPfDiM2bOv4MYrRuPAttQM98kqdkdfKmtyueW2x6DpFQZ3WsTb819j0TuvpGA/kTVrNnPf/Q/TyTmfC0/ZztynfNwyr5Bn3y3kxnlHMPz4P7JtZzUX/qYap9Om6FsW7CxPDNXSBp+tKmXMyE6xeWhk5XqLyaPLqaiy3Zfz3gTTgs65+6mt3oODBkBguFXHkeXoj6UXI8yG2Dy0YrjGKAvlSaecyVuflxKMGTmbdsLVf4A5ZzTS33cFzz40nqVffIDpPg6EF2HWMqA0g7Xb0nU89xzsSEHRcWA1x7A38OIba/nknYsYkX8d4fKzuf2GSdT4R4E0EEb1r2N3DsbSe7BxwwbuufdhCrT5lOR8yFMPTGLZ13+JzbuDqHsCwvLHrldHXsfu7K9Lr3q/dquHfqW5COMQWCH7e06W3NLzqAv045U3/syjj7/O2rW/MHrcNGZf+Shjxk6IHzxN98kp2HUM90kp2Icg9SKEWZ807+PUjVk4bexmO/Z6pFaA5VTJLqZnIggnwqxFGFVghdPvUb3ALjIbn/cmTMcRaWQXwzMJrH/fuvuHEhiklH8UQrwCjMYOvtQDP0opD1OT+J9utwNfSykfEULcHvv9tsP0C0oph/6jg6YWBwV7EZfSdmHl5bk5+ugxDBpUmPI+DU3TiERMBgw4ltNOO5WDB7/h3nsPkppjH416aGlpobCwQ1oRWLAZoEIIQiEDh8MV+13t43AIXC6NcNgkErHiv/897LYSf/r1PB4dTdMIhQycTrsUTqpLT9MEHo8DwzAJBi2ys11pLtL26wlBDLsTr1c/rFvW6dRj2O1qEaksy3PPPY1Nm2r4+ONvCQYhJ0dwyy2zKSpS2bIul122JxQy4qWVUl2W7dijUZNQyCQ314XHk+L2gzgRxcYuYp9FHSsn2+Syc9Zw6GAT9Y0NDBpYh+lLERcWIrbAmrZqvMzktT8tAAAgAElEQVRAkr5YIjxIqaHJEBI3Unjx+0Pcd+eZXHzyes6bGeXnze9z2509Oe+sMRTmpT+4XQsCVNfXAD1sCrYMxVyadrmVlSuWsvxvN/HE1fvJzYYFn+5g3bqBnHvGEEAHLaHm8+UXH7Fu1Qfs2PIjix5vxhuDfGT/Wp5460X27j2d4uJiACzLxYcf/Y2nb22I35ufPNfKtY92YsKZH3NhURECk4WvfcpRRybcV3Mvg6fegu2vO8grKEa6BnLbHZeisS6msO+kvjHMti1BKg/CtedDKAIvLIRAJEhzYyt5ebEcKi3VdStA+JCY9pxqWWnK/k6nkxtueYG7X7gOpzjEjt2tfPCkgabZ1svIweXc+vRDjB57ErkOL8KKMKR/Du8uLmZH+U76ldifZemPGeR0mYLHm4sI2+7n9Ztryda+Ys7FtnU5pG+Q40f+zAPP3sW9t54MVhhEFIkrze2HEEg8LHr/c56+rT4+p0cP2cPvnryfY8ZMikngeZEINBlE4sXh9NGt9xl88u1zTDvetgz3VMLyjb145LRCbI1JPc3tt+mXtSyefyM3nHeQLgWw+KsdfP39AW668wSln8Rpv98KI+LYU597gRQepEya91SvBdj3uxBoVggLgcSOv6pNQ+JFWGHsPEBdFUJoxyW8CClj94wbDnM9Ox/vcB6if679Xbmw/4smhNgBHC+lrBJCdAG+lVL2O0y/Ninl302jT5YLW7hwJ7/9bYIlVVMT4N13y9Lkwi68sL9CS3/rre2YphVfHCMRk44dDe6++zkOHBiVdDVJt27LuPnm3yOEIBIxueSSgXELKVW2Cmx32okndlfyuf72t3KqqwPoui1bVVBQQEaGk3PP7RPvU1Xl54MPdinYW1oizJw5QHntzTe3KcnukYidszdhQmJjWb26mrVra+PkE7ufxZw5A+ObSyhk8Npr2xT1kNbWKCef3J2+fRPYP/lkD7W1QQV7ZqaTs89OYK+sbOOjj3anzfusWQMVZZXXX9+mlBUKh0369cvl+OMT2FetqmLjxnolqTsalVxyyYA49mDQ4LXXtipjt7ZGOPXUYqUwqyP4Zzt+FZdPKkCKbIyMBOPPln76iyrFZLYS8c1OBOiltOWTkhcOGeb5V1dz9tjF9EwyrKtq4PUvxlFfU8a8m1XyzV0v9OTym5eQr78fv14gEOFPr31Ia2uQ8j17ePcJv3JYevKtbI4edwGdCzvy+ttfIjHZtfsgRw2o56aLItz/Atx/nXIZahvg9WXXc875N/Dai3dQVfENxw2r4cJp6jqwZIVOtPOfOfbYceih5RyoWMmnHz/PTRcl3LpSwvXzRvCHJ762pZ8CbyhztWd3OfPfeI7Hb1HdWRfc6uD55x6hsaGewsJ8pJaP4U2IEgtjF87Q5ykSWG1EfHNIls5y+l8DzcneinpWfDWPS2eoLspVGwUV4d8x5cTCeAwwEjF4/a0vqKkNYEoHg4adzvTpM3AF58ct9kf/uIg7LvpJEfEGuOPZztx1560gtNg9k4/UCjG8iRQSEd1B+daFbFj1MhdPU12C3/2s0eBbxMSJJ+EMvKrGJWUQ03kUf/2ijPWr30MXEfI6FjDnwlF4vIl7zZaYS6Q233PrScy7/mfl2Zn/Fw+lRy9gyPCEFJgjsMh2d8axd7Qr3HsT1cO16Fb08DdKpfB2ibk4VmnGsCdtXFYQ0zUKKym3VA8tRTP3JuKXUgIOVWLObMIVfDtN6ixNYi7wDkKGifpmx1/7T8iF/V+0TlLKdsrgIdrlTNKbRwixBjvK+YiU8s9/b9DGxrAiF7Z5c4OyAIJtAWzb1sDo0XZ+VSBg0NISUfq5XDp+v4PZs4/mT3/6mZqaAUCYjh03MHXq1PjGEgya1NeHKCy0XS2VlW1pZXIyM53s3NmobHaHDgUUa0jTRCz1IaHckcxUTGDX2b69gc6dI2RkZODx5NDWFk3DfuCAugDs3duqbHRgb24NDaF4NXa7oK2KPSvLyc6dzcpmV10dVOKimiaorQ0qG+7WrQ2KtmQ7rp07mxg+3L6hW1oi+P1RpZ/bfTjsbap6CRAM2lJj7fG2vXtb0izCrCwX27Y1KpudZlWnSG5paFYKG9PYGiuNkmhSc6IZuxP6i7IZYQVUfT/hpqlui7LRAXQphEDbQSacMJk7n/0Ll89owOWENz7pTK/BV5LrrUZGE5ql9z7wMnNn7sKh2wonqV6BKeNb+PD7LZSVbeKZ2xrI9NlryvML4YsfbJdhamsLgMvt4+G7T+eRqzdQ1wg/rDtMv6CLDt6YJJVVSfeizmi+Y3hu0Y+cd0ob9c3w4oc9mXHBg7G5Kksj12wra+CcyekkphNGa5Tvqyc3CxC6XYIned6jO9LYdxJhixPH6pwJ2YggiMSJ2+0gGEr3hrQFHPgy/Mqm4nI5uHL2cUQyZsY3Ny3yc0ofV6xEkTqeZUmUXD+hI1Kw60YZHm8ujc0a9z9vW7OasJ+mwX0ddMj3Iaz6mCWTrEziRTP2ceq033LqNFv70hl4m2R1FIRAWM12TFDzYZomOZ6KtNqT0yeGeP6TNxKbnTTQrAakUr3AgWYdUmgyNkM05X7HRJgHkY5i+21WXczrkPTsaF40o1zZ7DTroErUEQKsZpvQFbPSdWNLmsUuRSZadDOmHkvJkVFb3u0/LRf2v9WEEF8BnQ/zpzuTf5FSSiHEr5maPaWUB4QQvYBvhBCbpJS7f+2aTU117N69K77wtbS0UFnZrCyWoZBJ9+4Ryspsd4VhWDQ01OH3qwuqx6MxbdoEhg/vw8cff0V1taR///PJyMimutqm2gcCBgcOuGhutqe0ri5MTU0tfn9iik1TIoSHsrLELdbUVIeZdMdVV9dgGJJdu8riG0ZzczMHDrQq7s09e3bw0ktf09DQAafToFcvg06dBuFyafTsORiXy178vV6NsrLE+xoba2hsVGvQBQImBw7spbExgb26ulax7ExT4nB4KStLZm3WKTHv6uoaLEsq1cWbm5s4cKBN2RSDQZPGRpOyMpvlFYlY1NfXEgiot2NGhoq9oaGGlhYVezBocOCAm/p6+zurrQ1y6JCK3TAsXC6fgj3f0Uzyhm7XhbOoq0oU8sjUmvFqB2IuILtpBGkyG4jECn4IwhQ46rFS2GeBkMAwUCqPW5atyjFkQGe6drqQhd/8REu4N2OOO4fOnTtTXnGQXP0QFhms27iPCcP30a2TTaevT88VZ1+VRtnug9wxpyGeLiAEXHM+zJoLxUVwsAa6xjz1UsIziwrJLQoz69RNdMiBDjnw3EIIhoi7O6NR+NuKHlw5KouysjI6OBrQ8TP91KPYs6+EZxdvJCvTxfQL7sSX2ZGysjJcopEOehVmUi1np8Ngd6WDowar5KoDNQ6ONAJARmzeBXVJ1amz9Ebc4iDtrispJVu3l1Ne08aAwSeQk5ODRoB8Zz2WDKID2yvyaPW3xiW/TBMWLe3BbTd1oqa6mtq6NjZt3U9Rt470K82mztgf/17dopkcvQorVmvt+HFDeGbheu65MkGSKdur4XB3idcPbL9nJBr1Sdiz9UbcziBLfjB59Q+JuW9uhXNu1rhvbD679hwg39mApbA7JYbsQJOZGCvP0YiWwpjUCFNrVCBxIKWkxZ++hFdUgcudQ1lZ+1iSAkcjMqlIro3dkYK9AZeoIpnKoQs/9dEaDOxnR6eNfGc9Zgr2qIzSrGBvQkth2WpEqKnaS/u24xUtZOkHsJJCA4IQbWZHgvGCOhYFjiYkfjqkF2D4p9r/yWYnpTzx1/4mhKgWQnRJcmOmV1S0xzgQ+3+PEOJbYBjwq5vdhAn96dcvoYjRs6dJbe12O8lS1zAMC10XnHRSf4WcMW6cj61bG+LMxra2KL/5TU969cqhT58+TJgwgfr6IAsXluHzOdA0QThsMmCAj2HDEt9Gnz5QUeGmqSkc17YMhQzOOKO/Im81eXJHli2rJDPTSXV1DZmZeYwYUUDfvomzQY8eJvX129B1O98tGAyybNlSampOwvaVN1BbuwwhcpEyg/z8+Zx88jj69x/L1KnFCgM0J6cb7723i8zM9niiycCBPo48UsW+b5+L1tZIXNsyFDKZPr2/YjmeckoHli8/GMfu8+UxalQhffokjPPu3Q3q67fjdNrYo1ELt1tnwoR+igV28KCXXbua8Xrth7itLcr06b0U4emsrK588MFuBfvgwZkMGVIc79O7t2T//jL8/gT2cNhk+vQBiktZi0zCEfkBqWVSU11NpwIfhusYOrgSLlhkEU7/fPuEKnSbKSnc5HiPU8wsPVRpl1fRvPaOIts47ew7ef69G7n+/IS1+PKHGUydchKFnTpRWBii36AbMD2nJF2vN85gBcgQDU3bmDDAXmAy7LAdu/ZB7xghMRiCxd90obGxjt7plYJwueGW2fDgnwAEPYs8bC3P4+QznmLVys8Y2j9xwrptDtz5FHTMFeRkZ7DjYF+uv/01iottvQhheGwlf5FJYadOHHNUCZajF6YnqYaZLMUZrLRjS8IJ0mTcaA/nXmwy+VjiFQ0qDsJXK4PcdGtJ0ryPU+fd6oorMB8pPDQ0BXn4sVcYP7SKkV3CLPlsAXk9LuKCmbegByvQrEoQXm67eQ53P/Mm3Qtb8bgttlb05PLrn6FzSRYvPnU5enQrx41oZssuD59+0Y+5f7g1UT5KluIMHACiIBwUFuZTUzuVm57cwKCSQ1TVZRIUo7n51pl45HraQg7eWbSUYNDPuImzqGnczpZfvqf/4NGcMHEaLZUvMeEYJ10LE4t9ThZcfJogFAzQf9hwHMH9COsA7fJwQvqJes+gIFmIwNBxhj6NsRgFWH4sx0hyPAnB5c7F01i39RWGD7QPFNEovPRhIXc98hAZvgQpS49MRI+sS9zv+RlE3SeQlzzvZiGu4ALb2hIayDBSlJCdoarEOIL7bIs2pocqpJ+IdwaFeoJxKowpOEOfJSx0K4DlGKRgR5bgDFRh57I6YuxNi9yM3yhWoR6egBbdgMpT/ufbf0PM7nGgPomgkielvDWlTwcgIKUMCyHyscWnT5NSJqu5KDG7VKFmsEu2vPLKVurqgnTqlMHllw9Op5tbFosWlbF2bQ0Oh8a0acUce2x6HabNm+tYuLAspgfZgdmzB6SRYgKBKK++upXy8mYyM93MnNmP0tLctLGWLq3gyy8raGxs4je/6c+MGekaS1VVbbz66jbq64PU1a3ls88asax2wswnwKkkB3Gzsr7mtdfuZ9KkvmljbdxYx3vv2dgHDOjArFkDcDpV7G1tUV59dQt797aQne1m5sz+ihuwvX35ZQVLl1bQ2NjM1Kn9mD49HXtlZStvvLGd+vogXbtmctllg9Lku0zTYsGC7WzcWI/LpXP66b0YNSrdGbBuXQ0ffLCbUMhg0KCOXHxxvzTsra0RXn11C/v2tZKb62bWrP707JmOXQ98hiPyDc3NjfgKTsPMmJbWh8h+3KHXwWpE6t2J+C5NrwNmmTgC89GNzYCLqPdMLPdRfL30Y3746nkyXPUEInmMOfYkpoxrAiKYjsEYGRelif9iteDyv8L2bb+w/ucvmX2GvWBGozabccc+N507dyNiZnPVzP7cdt8X3H5JEyOSZA6lhLOuhw+fgY++grc/yaRn90KGjbmcqafPYfm3X+JtvISTx6pWwxX3d+Sm21+gU0+VNQeghdfgDH5oY3ceieG9IF3812rC5X8VYVaC1oEn3zTp5XuGjTtsV54lIcMDCJhwwjRKe7rILJiBmTE57XpE9uIOvsF9j/6Z2y7eR27SlD+7qCOjfvM3+vXtjTMwH83YAniJes+iuqWISCRCt272M7v8uyWE9l7MWZMSn3X/IXj969nccPO8JOwNMewHkVpHIt7ZWHoXKioq6NChAzk59v1TvukFXnv5US4/s5mCPLjmQZ1ZZ0iOG2GxerOb974Zyrm/vZpDmy/h3N+oy/OP66FSX8Ckk6eAFcHpf9Mug4OXqPc8LPcQUpsWXokz+GfAwHCNwPScR7Lf0rIsXnnhdur3f4xDCxEy8rhgzov06jcmbSw98AGOyCqam1vIKDwXy3tCWh8RKcMVfAtkG5beyy6ro6kpQFhhnP7X0cydgJeI93yke1DaWFroe5yhv8awj8T0npvuizfrcPlfQVjVSC2fSMZl4FBJg0iJHvwQM0n951+J2f03bHYdgfeBHsA+4GwpZYMQ4ijgCinlHCHEGOBP2NmMGvCUlPK11LGSN7vvvz/IuHEJCms4bPLGG9tibEu7QrdlSWbNGqDEzL76aj9lZU1xtqNNzOihUNdragK8914ZmZlOhLAtu4ICL2ecoVYHXrhwJ35/NF4Bwe83uPDCfuTkJBb6jRvr+OGHg/h8Cctu6NCOjB2bwB4KGbz55vY49uXL/8ZHH4WwPcN+YC0wPmU2qpg61cu9916qbLBVVX4+/HBX3LoMh006dcpQqnRLKXnnnZ0Egzar07IkwaDBRRepVun69bWsWFGlWKXDhuUzZkzCog4GDd58cxtutx6bdwtN07j44v6KZff55/uUeGJra4QpU0ooKUmscgcO+PnoIxV7164+pk5Nyh2TkrfftmvjORxa3KK+6KIBilWqRdbgiKyKn3QLCzKxXCNVrUMZwOV/085FE1osX8tJNONCJXajBz+NWRj292rXoDsN6UiYXMLYH6tzFjvpyjCW1hUzidxg1wpbAERAOLj3gTc4ZeQvTBglMQx48X0f2SX3cubUI9EjPyM1Hwvf+4ZlX3/CPVdB3xJo88Ojr8KqTT66dfbSqUMTd19pkOGF79fCe9+dwB8efZ/f33Yml576HUP7WwRD8PSCLI44+mwmjC0h6pmOdCRVHDD24Qx9koQ9ZOtxJtXPs7HPB8zYKd3ikXkfc/Lw7xmramLz4iIoHnwVA/rkxCy70ViuJBFkqy1m2Xl54IFHeOg61dnjD8Bji2dx67XHI6xDCbKE1YrhORPpSNx/j9x7Jg9e+lVaXOv254cy94FvY9jNGHYZs+AtkBGivpkK7V6PrOSeu67h0Wv34HDA8+/AKeOgNMmyrjwEC5aOpr6unMdvVElI9/2pBzNvWE5ubi6O4McxtRx33BtgeM9SRJeFUYYz9IU673oppicpZUAasbp+IgX7LIVEooe/R4tuAi0jyaIer9T+ixNG2i1JGQWRSTTjPOVzOIIfxshdNnZhtRLNUEklIroDZ3hpItZmBbEcfTE9SRusNHAG3gC0JOxGbN4T64we+g7N2Ew08+r4a//KZvcPVyr/TzUpZb2U8gQpZR8p5YlS2jIJUso1Uso5sZ9XSimHSCmPjP2fttGltm3bGhWCyC+/2DTg9gW23aW2Y0ciGBKNWuzc2aTQ+m35LvVh++mn6vhGBzaZorKyjebmBKX80CE/dXWheKxKCIHX62D1ajWgvWFDnZIM7vM52Lq1UVEh2bixDk1LYB8xYhy5udtjf9WAdBKAEAZZWV7WrFFJF+3Y25vbrbN/fxutrQnsBw/6aWxMYLcp/3oa9tRadT6fgy1bGpQ+69fXKuWWdF0jEIiye3ciayUUMti9u1khzmRluVizJl2eLBX7vn0tikxb+/fQfoDRNIHLpbNmTQqRIPqLGvTWfPZikNwnss4mXbRvbMIBshVh7k10ksFY3bHEwmJLI61OGWu1SroQbjSzAmQi1ifMCpDNIGxXbjAYZFu55O5n4A8vgpQGTQ01aNFNcbLBxPEDye88iBff1bnrKbj3eSivKeapJ/8I0uDR3xn4Muy1a/xRcGz/Zaz6cTn3Pfw+qyrvYu7zfXnoreGcNOVKjh83xJakSsP+cwp2D5q5R1HyEGY5SH+Cii80Zl80kTc+tr/TukZoarHjlktWOhk3pndsrjLR0+Z9tU2AEJpdSiilRaLgdGj2/Ckko0z0aIr0GM0Y6WI5WEmFA4WxK0ac0OPYERp6dIPyHi26Ga+zOR6Hra5XNzqAos7Q0lLD6LEnct9LOdQ12go0Ty7oSKfSWeTm5oLVgmYmDkd2qsXh5n1t2rzrRpmiKKK1/65gF2jRJDljKdGNrYqFZs97suQx6NGfkCIjYX0Jp01ISZJpw2pCM6sU7PY9kzLv0XUpz5cX3dhJstSZLQtmpGC31OdQWujGNqU6yL/a/hvYmP+RFomYCqOxtTWSVkvO6dRobU3I10SjFtZhqkhGIupr4bCV5iK1Y0MG7bWfAgGDVK6NrgulZIx9TTMtNy0SsZAycc+1tkaVPj5fDieccDQrVizn0KFeCFGLlCGIB3ol+fnbGTr0dKJRM2Vs81ewm2TFniu/30jro+tamjxYMts1efxkF3JbWzStj64LpVRP++dNbalqKYfH3t4vEWNNPcW3i0YnN4Fh5xolv5YqSyTbSHtEYiLOCX95GCGttBJfIi3CkB5xENKMLVQZ7N69m4Plyxk+MEJuLqzbUM64Iys4W/Eohpn73J+Jhi/G6bEXEk0TPHTfHFas+IXv1xqUFvX9f+y9d5xcV333/z7n3umzve+q994sW7Ity5blXiQ3TA01JLQnlGAIIfQSIE4hBgKhxJhgGwjYxjbuxtjElptWZVVWq91V29X2Pjvl3nvO88ednZkzs05+kOf35PfjlfOXdnTn3PecOXNP+3w/Xz5y0zuJqqepKpssued1lyj+/Bvf5MJtO3jTm99BIGEb2cz9YrZD6WfBz3Om07mVj1CTFMec1ddWUF5/Ade95zkuOsdXJv72Vbjlddf7SUVzdRW3ezJXVyg2n1Nn+5hXkJDimz9t4oa3vQ34dRGUyMaj5cvVV17MD+4/xHtuzU8q2jokdS35bT6hS9nBZmK8n1cOP0NzcwtLlyxGaBfHzU+2POULYazCqBMNngpw1eWbWbdmCT944DdkMkmuveE2Fq3Ymb1fmkLLrXTa5eW9J4jFhlm9Jf/bKc5l5xeVXXHNhALMxh4ocv7xV0wl1lzF37NOUxx75/frpHlNiV2YpDgFz2x9RqPwxfR2tq5JSoegYnaP2Wwbf5/yBzvY1dVFjIfsunU1tLUNG/Fevjgjb2URjdpUVobIZFRukJyJVSssixaVs2dPnyF4iMUCOek++I4txQ/5qSmHCy4wz6GammKcPZvIXauUpr4+XJSLr4YjR0YNaf6GDZfwhS+8hWeffRbL2sBddz3Kvn0KxwlRUzPIjTfegtYBQ+ABsHBhBa+80m+sXqNR2zi7XLCgrGRQmZpyShxNGhujRuiE52kaGqLGe9euraG9fdTY/nRdbeS9Ky8PUl4eRKn8JCKd9kosvhYuLGfv3kEjCD4WCxh2YQsXlpcMnFNTLpdeajrXKNnoe/DN/Li1h7KKLL7sNVjuMbTIDwZCu6hAwaG+qPBnsIWzE51G2eZZqbYXIJx9xraYlnGmkwG++oVbWDVnL0vnjvDd71RS13I+wWCIHStLvRjnNYwxOB6jOeTl2AWKCy+6hC1X5GPV3OQqRsdLZxBtHeQmQFpUmnJ0AJ30c6QVtoM1D+m25R+WWvvZuAuyVavAMuzMczn7MQDlTJCcGuC+O/IJYMcn4bP/fJDctrt2UdJMraQCq7BSD6FlGX/2vlv46t8mqS87QXOD4tWjczh3+4eYO28NOmGuJtCpkvxy6zdup/3YEf7yH19m/bJxunqipNRSPvjJz+fvZ6/ATj+PtvL96O57H+H0yaNcvOk0+w9V8cPvrueTH72F2oZl7Ds6yIYVHi31flqgDxZk9Pzuz6C80u9rzU2VfOA9u7OxahflMWUNr+4b4KXW35JMeoz0t3HF+UP0nA7yr/c+zAf+/IfMmTsPJecgvfaidq8wVjnKXumvqgq2/YROlOSEU7LO96+c2aXQLkqaWgTPXm5uPQIC289dmGOvKzVWUAlUcKP5kmxBep0Fg7Lys5sX9A8vsNo31y4Qo5SyB1CyFqFn89r83Yr12c9+9r9cyf9XSjqd/uzMv+fPLzPCDKLRAJYlOXp0lJ6eBFJKduxoYd48czCYN6+MI0dG6e72t8cWLSrn8svnGYNPY2OUsbE0x46NMTCQJBq1ue66hUYCVMvyvTIPHRrh9OlJXFezaVNdSRLRBQvK6OqaoKtrnP7+CebMqWb37kWG2CUWCyCln1KnpyeBZQkuvXQuixfXsGbNSlavXsmb3nQ9V121hoqKKpYu3UE4XMOSJRVcdtlcg725OcrwcCF7gF27FhqTAJ89xOHDo5w8OYlSms2b69mwwbQzmj+/nO7uCTo7x+nvn2TevCp2715krKDLyoII4afU6e31g+d37pxLS4sZNzN3bozDh0c5cWKSRMJh6dIKLr10jsHe1BRjcDBJR8c4AwO+pdiuXQuJx/Psti2prAzRdXyQ6ck+lNJs2Nhspu4BlD0f6XQi3S6c1ACh2Hw/OLgwNkiWAwrpHEV6Z9HYuOHLwSp4OAuBtuYincNI94Q/WFhL/dQ9hbZOshnhDiDdDqQ3iBZluJHd3PH3f8WHbryfS85NsrAFLtmcYl9bD9FIAydPn2X98vys9lg3/NO9AU71KpRyWNg0RSY9SDi2IMteoDYNVPOze79DRSyZU3BOTMGn7xDc+IYvsGjxsix7C9I5kmVP+VZdIVNtqq05CLevhN0QLogASpRjOUeQ3mlA89zeMMvrHmD5wvwKPRyC9i6XluZ6gvYY4dhi3Mi15upEVoHOIN12gqKfi7dvZc7KDxGsfTe7X3cby1asK2BvQ7onswPdSlTwohL2dcuCbD2nFoILuHDbdVxy7eeRVmHMWRAl4ln2MxxpH6D72GN8/B0DLJwDm1amOHf5Cb7+ryE+/P6r+ckv+7jv8SStRxQXb1b84Ofwwj54+De+Wrart4YdFzb7fUYEccNXQfY8y/M8vvjptxFXD3DZpqM89Ww3//AXCZbM06xe4nL5eX389R0HuPSKN6OtOUi3F+keR3hDICpxIrtNlxERAiJYzlF/axSBG7oQXTghA5Q1H+m2Z/v7EDFO9nQAACAASURBVKH4UrzI1eZKzqoFNZ3t7/1oEcYNXwNWwURRCLRsyPb3U/7ELrAWFTy/qN3nId0zWfZhkFW44d1QmIVchNGEi9gvQgdM7YOS85Buu59SaKYfhcOf43csf7ArO9/02dymGh5OIqXIrQRGRkpnzhMTGVIpL5f+ZWwsk7Xxyj/APU8zMpIiGLQJBCSOoxgbS9PSYs6SR0bSeJ6msjKMEJQEi4Mv4JiYyBCLBZietkkmXaamnBJT5+HhVI5daz/wvLhEo7VUVs4lEHCQMs8eieTZXVczOpoiHLYJBvPsTU0m++hoGs9TVFeHZw10L2SPxwMkkxaJhEsikTFWvFprhoZSWJY/CAmhZ2338XGftazMPwsdHc3gOMoIC3FdxeioH8oRDPqWbmNjaRoaTLXYygXHWPnGlxiflMTDHnZ0CFc3GqISVBKhp9AyjqdTvhO9mkZbBQ8SrcEbBm2jrCqE1kg9WnpCqkcROChZgUAiGcXDwTTMdZCMgoigRMjfDtJjZKb20VQkPnvr9Um+dOcgyeQCXm7r4Nw1Hg89A6+0CX78lXGikQf55a+D3P7N1bzjTVt9J3qVBKvgQaI1b3rjrdz/q+/zzEsOAdsPKA+Vb+XSy64tuG4codN5dj2CR3473mQPo0TY36LS4/jOgfkilX9eq6wqhBJMTfbRHCtK1QCUxRwSqSDBgO1vZalUEbtCqBHQAZRVDVrRUCOobVpJz5kz3H3XF9GZMygd4s03r2HRwiy7mp1d6DHCkTirVsYQwsbRY2hMA2ep8+wPPvowt73JdEKsqwaVPIgltvCB91zL8OAQ3/r+U+ze2cHunRgxlXuPJwG/z6A9hBrNbXM/+MCPufH8x9i2yeFnj8I7bzLbJhSE+XWdDA8PU1MdRehxEBG0CCNII/QEGtOjVqgRQGf7qDCzNcxco6cQehoty1A67derUmAVurh4fmYJEUIJG6FdhBpGs6DofuP+DoesQCCQahgPD3M4ySD0GIgoWmgEKYSeRFNZVNdwrt19dvPMf4a9ON7w9yn/7QKV/7fKE0+cNv4+fXqSY8fGqawMUVMTprIyyMGDwwwM5JfHWmuefPIM0ahNbW2Empownqd5+mmzrhdf7Gd8PENNTYja2ghlZUGee643lx4I/DO7PXv6qKgIUlMTpro6TF/fNPv3mx3xySdPY1mCmpowVVVBQiGLJ58079fdPU5Hh8l+4MAwQ0P5DqC15qmnfPa6Op/dcTyeeabHqOuFF/qYnMxQXT3DHuDZZ3tx3Tx7IuHwwgt9VFSEslwhensTtLUNG3WVsksef9xMHNrZOUFX1wSVlSFqa8OUl4fYt2+Q0dH8gKeUyV5bGyaT8fjNb3qNup5//iyJhENNTTjX7s8802OkQ0JNIjMvIe04VVVRApEyhHcK6R4x6rLTj/urCasGj0oQAaz048Y1wj2G9E6g7SqQNWirAivzqu8EkWt4hZ3+NVpGwapFW9Wg01jp54y6rPRvQSf9/7dq0Vbcf98sZ5VKgZBhPv3JP+HAmSv52De3cM8jZXz2A5p4zFee37AzQ138GJ2n/BglO/2YUYd0j3L1zrn80dvfj4isxbOXs2TlTr76tz/KbzNrDzv9DNqKF7AnsdJFufjSz4LOoK1a/zoZxU4/7avnZoo3ls33Vu63lV3N9vMq+OVz5laZ1rDvWDWLFi/BpRKE5X8XhezOIYTXk2t3rHJk5iX6ejv59t/dwMdvvZcv/elv+fTbn+Jf7/4RHd1uln0KK12UVy39DDDDXjcre2b6LNOjL6KtCpA1SBme1X1G6IS/MrFq8UQVc+cvZX+7/widGejauwV19c0+j6wBqwI7sycnRDpy4FG2bfLPs6Sc3eXG8wRSSqzUrwEXbdWAVYsSYRKDD+E6+fMw4Q36YiurMttHK7HcDoR70qjTTj2RY3epAiR25smidt/vhwBYVdn+UJ5lLxhodMaPT7XKstfUgB4vFdekngZUjl2LCHb6SQo7vHD7sZxDRexHzXyRgJ1+0tge/33LH+xgNzGRMQaf9vaxXGLTmRKJ2HR05B9c09Mu09PmwaplCYaHzdlpb2+ixLYqnfaMFUtvr5miBPyzsVOnTNHA6Gi6xN5qbCxtPMA7OsZLLLdCIUlXVz5569SUU5KjzbLMnHfghx4UxwOmUp6R7+3MmakSptnYR0ZMdn8lnDaUpMePj5VYnQWDFp2defbJSadEuGPbksFBczbX1zddwp5OK8bGCtRp3ilzBQcgYwj3hPmSGjW2XRDCf63wGrez1D5JBPwA8twLE1mz24IibKQylaRSDVCc50zoFNHK9ZzoMdv6B/fFuO6ai7EsyRtffwV/+u63cf7GUoPcK7Ym2LuvI8tuWqwItwtkjI3rF/CpT7yLv/rL9/KOt15GxMon8xV6vDRHmwiU2nepgRIRhFAp0PnvUHpdhoXUVCLN4Y5J5i/ZwSe/MY+2Y/DSQcmHvlbLrbfelB9whUTqonb3TpbGdgnJvXd9ls/9yfGcS0okDJ9/7wj3/PTh7DVBhMp/vt7eXl55+WWmps2+JXQS9BSpVIqvfP6PueOvL+X7372DT/zV1zl6rJfd11/CP/+bebzRMwDBiHm2+JY37OSuR1bwrw9X0HUa7n20jH/6xVre8dZrjet8qzN/EmjZ0Vxewqu2wT0PG89/ppPQM7qUqqoqpB7KbTM+93wbn/r03/HjO7/K7Z/dyre+/gmUUkivs8SsWYu4r9LMveD6ueqK2rN4FeX/dorqQiO8gj6jRijMSee/GEJ45sS0kD13mU5QKHaR3vFZ2GNF7Bmjn/1Xyh/sNmY4bGPb5jnbsWNjxhZbOm3mTAuHrRLFJlCSa62sLMDERMbIKGDbwnioV1eHSmbtjqOMtDzgD7iFg/IMe+H2XUNDlM7OiRLz5rq6sFFPsSBGa13CHo8HSCQcY5CyrGL2cImvZybjlbBHo5aRINfnMLMj1NVF6O6eMAQxmYyZZy8anZ29eCs3Hg8wPe2WsBdag2lRi9AeunD80GmwTYGKFlGKVWVamA9YbdWBc8o4VBfaQcuCs0sRLflR+4fx5rawFjGEShYNxDbv+V9/zd98aZyWipdZ3DzKnrYyFi/fxuqVLTn28qol9I3EKTYXaj8RoLm5Nlt/vj3HxsZ4+lfPExD9XHn5ucSi2fg/7aFlfs/U/7yzsRcP8DFEyeTAJpkSPPnEPSSnJ7js0vNpjDloEeJHdz/BmRN72LpmlMxoJaOpDXzjl5uIxMr46J8vo6am2PeyqK1ktZ9R3RBdeGRSo1QVeQMEg2CLqQL2MjKZDF/74rtoKX+JZXOH+MZjlTTP38Jb3zyTjicAIsrX/+Y9vPe6f8spPT1vnA9+7Yd8/rMfpWHeDv7iH1u5YO0AJ/oqODG8kU9+eIdxb9u2+MKn388rx1fy+MHnWbF+C198U6pkF0Fo5a/ygOtu/CDf+Mlv+OhbB4lF4cbL4E8+DZddYDGVDNPatZY/+9h3s+0SRTDFmZ5R/v2Zf+PvPjozoZnglUPf51++G+OP3/Um5IxrTa6kjO/ZzzhQujIq6e+iMivaKhCMoNEFWdd8r9jiPuOZ3rA59iJRiQhSuLWvZD1St0Kh/6xOo61Ce+TALCrS36/8wQpULEvQ2Jj/EdXUhGlvHyOZdLFtSTLpUlUVYtu25tzDWUqBUorOzgmCQel7GSZcrrpqnnH+V18fYd++oVzc3tSUw4oVVYbBcyQSYGBgmqGhJMGglZPNX331fGNAjccDtLUNEwhIEokEWoe44IJG4xyqtjZMe/soqZSXZfeoqSlld11Fd/cMux/EfvXV842BrKEhQmuryb5yZZVh8ByLBejr83PBBQIyx37VVfOKQiD8uLoZdqWCXHRRC/X1+QdvXV2EI0dGSae9XLvX10fYurUxx+7HPHqcODFJKGTheYrpaY9rrplnDHh1dRFaWweR0o/bm5x0WLOmmiVLCs4BZBzhnfVnoCKQjUmyccNXGqsTLSNYzmEgQCKRIB5VuKHtOSGBf01d9ho/yBs1jbYaUaECmyxhgU7lY760i9ApnPC1hpBAyTpspxU/gFYi1CReYB0yvIztl95Ew4KbSYd2s/uadWxaW5tlTwMBRPxq9u7rIibbaK73Vymj4/Ctf5vL62++iLKoxg3vAFnD44/8hIfueSdXb3qSmuhhvvmDVqLxRuY0xZjO1PDT+1/lofv/mZ6eXpYs24AtnWzMVzDLnsYJX2Owa1mbjTmzsuwTtB6N8s2//zN2rv5XltY+wY/vfYK+kRjp1BQDJ+/ntrdPsGyBZuu6JCvmdHP48FHeuPMg3/5RBxXlMZqb6kkkpohHwQ1fkhsMALRVn429y8ZgqWm0NYc9+8ZZP39/zsMTIJ2Bp1+dx8Xb1iJ0Gjd8Lf/0jc/z9svu4ZptUyydr9lxXpJ9bWdwWERzg40X3EjSbeDVZz/PDTvyK2Ipoa5qmhfbyrlp1yVsuuRvGddXsXbL+9l147uw7RCW257tM1PEoxo3vJOG5lWsXXceTU0taKsBK3MAP7jeApVA2/Nz4oq6+gZGE81878dtHDjq0XqsiiUrtrJy/dXMWf1FXvem24jH49l2r8ZyWvn+XY/zZ7d2GJ+7ud7jF48n2H7Zh7G8bn/1IwLZEIBYNp/cTHyoACw/Ri/LHouCF7oMZP6347PvN9iVtQAdXF/Q34MFsXZB0A5CO7iha0EWxJqKqmyfsQGBUJO4wfMMswJkFZZ3HD8+M8suY3ihYnaJ5XTghfJZZ34fgcof7GBXV2fK96UUVFeHePHFfo4fHycUsrnhhoUlIpaGhijd3RO0tg4xNpbhwgubWLvWXBWEQr644/nnz3Ly5CSNjRF27VpYsjppaoqxb98ghw+P4HmKq6+eXyIEqawMMTaW4qWXBujpmeScc5rYvr3FWB1JKaisDLFnTz+dneOEwxY33bSIWKyUvbNznH37hpiYyHDxxS2sXGkexIfDvp/nnj39nDw5SXNzlOuum409yt69Axw5MornKa69doExeQCoqgoxMpLi5Zf76e2dZPPmFrZtazLYLUtQURFiz54+OjvHiUZtbrihlL2xMcaxY6Ps3++z79jRwvLlJvtMfsAXX+zn9OkpmptjXHttKbsSDVjOXqR7BK093PB1YBWpQEQ1eENYzsu46V4C8S2o0AVFqxcLLSqQ6T3+Nh0x3PBNJTm3tNWEcI5hOfsRago3tKNEDYeMoLXCSu9BemdQcq7vQJJdFZaVldHc3IwVbMHKvIJ0j6K1xg3vAquWc7dcxv1PZrjviSS/fqWG5w8t4WMf2EBADBKIn48KbmU6meTnd72Lr/zZCeproKkOrjg/yde/38mmDav4zBd/zM3n/5Q3XXEIO/M0X/v6k5x38QcIyy4s5wCoBG7oUnSgyPJNRtFaYaf3ILwzeHI+/3DHD/nHjx5mToOmtgou2TzBLx4Z4dDRs3zkzWeN2LPqCvj1S/CWXXDlBRP83fdHuHxbHC/dRyB+ISq4pWTVqEUZMv0C0utGiwrc0A0sWnYBX/36o2xbP0Io6G/5feZbVfzRrRuprlA4oZ0QWMSTD32JWy833UvWLHb5wc8GuHDbJXjhK0lMp2hv/We2bTC35l0HDnZVs+bc92GH6mlubqa83A890bIO4fZiOa/ipvsIlF2ECm6ehT2KTL+YZa/EDZkqxEVLVnHxZW9l9bIwV2yvZPP6OdTOu4nqhiKrGRlHqzTPPPULrrpgJBc/qjX89BF44dUpDh7cw5SzgGVzx5HuMTRWts+YIhYt6xFuT5Z9gEDZdlToHPN+IoAWEazUC/5ZtajCDd8IMlhUVxPSOegHf6skTvgqCBRF18sytJfEzryIUL159xQja4RAi3pk5uUC9hvAqiy6Xz3CPY0K5sNK/mewKxjsHn/8tBGnNT3t8pOfdFBTE6apKUY06q9K1q2rNbYMH374BCMjKVpa4tTVRejpSRAKSeNBf+rUJI8/fpqmphhNTTGEgI6OCdatK5idas099xwjELBobo5RWRni6FE/zUzhamXPnj4OHx6jpSVGOOygVJCxsTSLF+fZp6YcfvrTDmpr8+xtbSOsX19rbKU++GB3VhUap7Y2wqlTCSIR21gldndP8NRTeXatfRFJ4YCulObuu48RCuXZjxwZYcmSCqLRPPsLL/TR3j5Gc3OcUMjBdf3t3UIPzcnJDD/72XFqayM0NcWIRHz2DRtqjcnIAw90MTXl0Nwco7Y2wsmTk8TjAerq8gPL8eNj/OY3PTQ2RmlsjKKUprt7wsz+rj0Cqbt9WbPdDFYllnsYz1puPHCszG+RXgfabmF8KkQ85iBUIpfKxG+ICYKpn4Fdh7aa8B0s2lCB9caP1k7eh2AabTejrRos7wRKlPtS7mwRzjECmefQdhPaakTgId0TZlyY9ggk7/YHF7sZrAos5yBeYAVCRti0eTvbd76diy9YzMUX1BKOzcuyZxBqmmef72J94/dYUKAJEQJGxzW/eGyST73zAIvm+tvOjbWazcv7+NHPDrH13CXZ+9Vged0oWWWstIRzhEDm+Rx7b+8gE/2Pct5aMyi5umySJ/ZE2X3JuDHYATy9B3Zu9Xn6BjOEqq7AClQTj6YQpA1rNbxRgqlfgF2fbfcglneISOU2Vq67nm/fM8JTL1bx2/31vOXNr2PR0rVgVWO5XSirlueeuZ/LzzPPHZWCZ/YtYtOGRdzx9b/mhd/8kGPHe+kbcNi8Jj9efe8X5Vxz/ZupihzHs1cZW6lW+imkPoO2m/12j0wjhIu28kmdhTeEnfplAXsAyzuS7TP5/h5I/oxwUCACLVn24yjZaKy0ZOYAtvMy2DUcPHiQlYv8Vf2Xvg2rl8Jt73S4bHMXXe2/5vHnJeecewnIMiy3Dc9eXcT+OFL3Zvt7kHgkgUChrQJbOG/At4WzG/Ps7mFUYEMR+08Ane0z1VhuB0o2G3GXMtOK5e7N/iYaESQRXl8uRRMAOk0wdQ/ICt/iTZZhOW14gTWYRtCPI3WfP7HIlt9nsPuDFah0d48b50779w8a4obCfGszJZPxOHVqqijGzaatzTxAf/XVQUMwYlmS4eGkoTDs6ZlictI8X4rFArz8snnucvToqHGuFgr54o1Ckce+fWYgtRC+t+fRo3muVMrlzBmTPR63SxSUe/cOGqtZ2/ZFLGNjpkBletqZhd20HjtyZNQ4iwuHLY4fNyXbr746MCv7THof8CciZ88mSrZ3Dxwwlav79pn2ZLYtGRiYZmIi/9AVnh9zVTgYaRHFcl426pJue1G8UjhrbJsvVuYV81xDSMBBuAXJNtQUUvUVbZHOZsW0zzwLy+YTQ+WFTMLtAtImu4z5CtBCdq/DOEecYS8rq2B0svRsZmwqAGqEenODgqZ6mBzrKmXPmDZZlrPfOIOMRKNMJkqtCUcnLNatX8tdD5or39NnyYlKACamAvmVvYz434Vxv5fQojAOToJOIrxTNDU389FP/BMf+/S/8smP7mbhwrxoRFtxrEwrsarNnDBFyPz4VxEuu/QCPv/lO3nP9c/ylffv4+6vJdi8Bm673c/GcPudZURrLqSluRItwliZ1nwFWmN5neb5kYwinaPGffzceCa70FMIrwBIjSG9AkMD8C3mHDOxoOW0oWWMbeev4MDJjXzvF1FeaYNgAC4+N1u9gF07MkwM7Wdyyn/+aBE0rc60wnK7Z2E3zxZl5mUzf6OQCD1ZJFAZzh4RFLCL+Czsh02LLxHE8k5hWJ05bWiEMZBqYSOdAwXsHpbb9X/k3O4PdrDTGmPA8F1RzGuEEIY4RCnNbMbYWptChtksxcB/iM8Uz9Oz3I8S4cdsVWmtDXGL45Tak0lJETtQYlpVer/ZP582rpvtfkJgSvxfsy7zddctzT4hRDG7fo12+I8/y6yv69mshcQsr5fWJUpec/33GheJIhsnRYl90qz1z3YNFPqaitnuh6DYLknMUpdAs/ncLTz60jLSBQuuiSloP92IHYgbeRPBz6Sg9GyS7tdi9Ut1VYyhySaGC+aArgs/e7KWd7/tUpLWxXzu29U8tQf+5vuSf/wRfCjrMjI2AScGmmhqKFSaFLWVLvV6BWl8hwJV2kGy7O/5X1/mH++7im/9tJan9sDnv1PNpN6OZVls33CGxgJ90Zb1IK0KfvbbHey65SO8/S1X5u5QaPE2PT3Ng4/s5VeP7SWVKlRsmwyDQ2P84pcv8cxzh3O/F130HQq80q95ts8t/PcLIfjYR97IhvM/wA8eXstF55S+dd2SSbpOzEwOZVF/18z+nZqv+f3/P+l/WlHyfQnxmuyFRaOL3utROgRJhC5u3/8zyQr+YAe75uaosT25cWMd09PmQ8NxNKtX56e74bAf51U4aKVSrrGlCLBqVQ1TU/m6lNKUldnU1OQfHHPmxHPZDmbK1JTD+vXm9HrhwnLS6XxHcV1FS0vMWFVt3Fhbwu55mlWr8vvyM7GBhezJpFtidbZiRZVhnKyUprw8aNiFzZ9fVqJKnZx02LDBDCJesMBkdxzFnDkxY3DbtKmWRMIM59Bas3x5nj0eD5QoQKen3RK7sBUrqg2PS6U0FRUhI12QthciimXyOoEKFNkZWfOMWSY6gyfnmtcENmXl0oV1gbILzuNkOUpWmzFnarrELkzZy0EVqNO0ym4XFlhu2YsRRWETQk+VsHtyFnZrHkIIPvDnP+K2b1zI1+5s4K+/V87nvreCP//Q27numku5425TZfkPdzdw/fVXFbEnUPaKIvalfnbsAvaPfPjdfOWea/jid+dy+12NfOTr5/Gnf/wGbNvinW+9ine/56O4sXewevtdpO0L+Md7mvjS9+bwl99aTW1dPV/923vZf8jPf6es+eb9AhtK2h0sY4tZyyrffqqEfSWhUIjPfOleLtz9JOnK2/njd3+Ad73tak6c6mP1olJDg1VLBFdftok5Lfk+KfQ0Xrbdn3v2EW7/3EXML/sJzaEf8fkvfI3WA90l7Pf86O/58b98jnVN92JN/oCPfeJvOXNmBAigrfw2rRbVvgVdAbtQCbwiqzNlL/HNAmY4lzfw/ve8gb3HTCcjgMPdcebPzZ5x62m8ArcRhIWyWswBUKdR1iKjDi+wDlGw04DWaEJFdmG1vlWcwT7lbz0WsluLMfwytYeWDcYKTdmrS/xohZrGM+zCbJTV/BqT2N+t/MGe2S1cWGEIF0Ihi8rKEK2tA3R2jmPbFrt2zae+3pTfLl5cQXv7KAcPDjM+nmHDhjouvtgUjNTVRXBdxauvDnLq1CTV1WFuuWWJsaUnpWD+/DitrUMcPTqK6youvXSuodgEmDcvztmzCfbtG6KnZ4IVK+q5/vqFxkAdDttUVATYu3eQzs5xgkGL3bsXGV6cAIsWVXD06ChtbcNMTDhs2lTHRRc1G+z19VHSaY/W1kFOn56itjbMzTcvJhw22efOjbNvn8/ueYqdO+caik3wB8WengT79/vsq1fXc911C41zxEgkQDzus3d1+Znib7hhUUkewcWLy3Psk5MO55xTXyJ2aWiIkky6tLYOcubMFHV1EW6+eRGhUMHgJizfly/TinTaAQ83eBk6aIoutLUA4fYgnX14qbME4msMwYjfEFEUUazMXqTTDSKME7mx5PBfyYVI9yiW0+b/8IPn+mIX435NCDWFlWlFeD0oWZcVuxS69lso2YyVaUU6xwCFG7wCHTAfStpeiHBPI539eKk+AvG1eOGrQUgqKiq49Io3s2TtH7HxnIu5dkeYeKCHpqZmxvT1fOfuUZ5rjfLQ88vYsvOzbN76eqRzCMs57D9wQ1tQBao38AUJQk9iZfb57FYDVsXr2b7zjaw+562s2PgOrtn9J1TVLsmxh0M2zUtez9xFF2V53oKMrqOn8yHee8MBrtp6hr2tR/jVMxnOu+RjpnBBlqF1yBcZOd1oEcWN3kxxHkFlLcRyDiEzh/zBKXQ+KnRu7v8rKyuZt2AjkWACK9NKPDTNk8+dYkvRWeM9jy/kyhs+Q9A7kG13jRO6GgLzyGQy/PBbb+XvP3KcOQ0wtwmuvGCab/zwNDsuuwUduRKE5OTJkxx+/oN84p39NNTCknmKy7ZM8tVvn2H71V8EI3uByLK3ZdmTeKELUUFToKJlC0KPZdu9F2U1E296Cw89fpD6+HEaa/0B57lXg5wZXcGlW/wMHW74aihUPQLKXoR0OrGcA1mByjmlghFZgcbCdl5FOCd9W7joLWasqRAoawGWcxCZOYwgiRfcZlh5AWirBeENYzmtCO8sypqDG73R2DL3bdpqsJxWpHMchMQJXwe26cHrs3ehgvkB9X/O7ApKcQC0Upq2tmEikQArVlQTDEra2kqtabq6JhgbS7NsWSUtLTG6uyeM1D3gr/ba20epqwuzYkUVqZRnnJ/NlEOHRtDaX5FUVoZoaxsuiakbGkpx5kyCefPKmDs3wsBAkjNnzIB0n32EaNRnt23JwYPmWZzPPs7ERIZlyyppbvZj8wrPs8Bf7R07NkZ9fYTlyyuZnvb/no1dKc2KFdWUlwc5dGjEcFkBGBxM0ts7xbx5ZcyZE6G/P0lvrzkjn2GPx312KSUHD5a2e2dnnr2x0VeVFqYdAnKsDQ1Rli2bYR8vqUu6hxBCoAIr0KIcyztUMjMUXj+W6kFbC0jrOViqD+GZCj60h+0eQos4KrAChPQNkYvv5x1H6kmUvRRlNSDd4+AVZRxQCaR7HGU1oOylSKaQ3vFZ2NtAyCx7HMs7XLJFJLyzWKo3y96Cpc4a5yoAlRVxqqIn0KIMFViBEIIdFzbwma88ym2ff4nPfOURtl10FdI7hmQ6y16PdI+ZqzjwzyXdziz7MqSe8D8jEI/HqaqqmoU9hu0eyq0AKisreeyBr/A3HzpJS4MfH/dHuxwa43toP2Q6tqBdLO8QWpRn2TXSma3dOxBMowLLs+3eDsWGwWoS6XahrGbmLjyH8fQyfvnrs7kpYQAAIABJREFUMEr5YQt33FPL6nP/mBBH/clGYAValmG7baAVr77yClee12W2v4BLNic4dPBlPy4NeOzhH/JH15iimHAI4qEhvOkDFBfLO4YgiQqsQMk6pHsUw6kEQI1n270JZS/zTQCcLj7+V9/jN50f5+PfvJDbvnkRHaOv54Pv253toxE/iXDR0YvwTiP1IMpeTFo3YXmnclZd+XbPYHmHUaLab3c8pHOY4mJ5RxGkfXZRl233ohWzGkd6J1BWS5Z9FFFoxjBTl3vIH/QCK7PsB0u2p4V3CqkGS977u5Y/2MHut781f/ydneOcPTtNPB4gGJSUlQU4eXKK06fzDyWlNM8/f5aysiDBoEU06l9bbLn1/PN9eJ4f9BwMWpSXB3n11UFSqfwDdWIiQ1vbCGVlfh2xWIBk0i3JjffMMz1EozaRiE0waOXsu/r6+jhzxndd6OgYo7/fZO/unjBcWnz2vuz9LCzLYXy8h6eeOmHc79///Ww22DzP/vLLA0Y6nfHxDIcOjVBeHiQYlMTjQaamMrS2moKRX/+6l2g0QCRiEwpZxOMBnnnGtAs7cmSU4eFUjr28PJA1js4/lDxP8cILfbl2j8UCBAKSZ581XRmee64XKf0t21DIb6tidrxRLPeInwdMBsGKgx43D70BK/OML7qQYTRBtIxjp58xrpHOIVAjYPl1+SKCDoRX8MPTLnbmxez9Qv6hvJBYmWK7sGf9WbSMgQyhZTl25kXzHMobwnLaC9jLQI34HAXFTj+LlnGmkoKuk1Ok3RB2+tki9oOgx/3PL4NoWY7ltiO8gomGdrBnctXNsDMLe+ZZf0YuY7m6bGdPEfsAlnMcLcsL2EdzAdbJZJKGirMliapv2JHkuae/VcS+D/RkEfsR8AomZTqTZc/eL+u4Umx1Zmee9ZV9MgoyyIc/+BZk5a184rvX8/kf3cqmy3/OjbuuwfK68u0uY6AGkW67L8aZNqX3AJPTNtFYedaODCLRMqZmMeZ3vQABdRjUBOPj43R1deE6CV/8lGurGKBnYX/GV1Rm2ZFl2M7zWFLwtnfdxl9+8WE+9dl/4o03Li3oo3GE14codCFhps/437Mm5IcYpM0USZaz1x9wrez3bJVjuQegMOWOTvl5Hg12Fyu95z9nzzxvbn+6p5DeqSxXIMt+FuEVCMC0xk4/VxK0/vuUP1gHlUTCwXFU7uzp5MlJw2kDfLePU6emcmlwkkmXVMozzqukFCUru+HhVElsl+sqxsczue3AQs/NmRIKWfT1ma9PTmaMusbGBrnzzu/w5S+XoZTF/PnTvPGNbyMWazDeFw5b2VizeO7zptMegYDg5z//AUeODDI9XUZ5+Rhnz17G+9//9tdkdxyffUbm39eXKBHXhMM2fX3mjH9yMkMwaF6YSLhGPrvTpydLXFxCIcnp01O5kIipKZd02jMs2GaMrAvL6GjK2N6dYZ+cdKip8d8rVS+62NFERJFeL4r8NpFUk2hpbqUKba6ohXemxLZKy6Dv2zgTfK6nsudnhepIC6nHDMNoqccocVoh45vjZh0qhHcGXRTThIz6HBScY6hx/uGffkVm6ggLmhM8/lgFy5afw01vf3MBey8l1k8ikGWvzn7eSXzrpyJ2NRt7UYdQGf+zi8rs/U7Nwh5BeKchsJpgMMhkssgCDDjRK2iqN88Spddnqk0BLSykOovKxmAJNY6fj61QUWuXrFZEEbsQgp3bl3LRVW/LbYuKmWSxBkQM4Z1i/for+It/WcYNO/YRzH68ZApebKvhDW9vyLYhXH/DO7jjyz/kbz50Ijeg9w6ADM1DacHtX34vIX2AOfVT/Lirhs3nrGLXdZcWsZs7HkJPlLS7byA+zYzriPROlTihIONI7zTejMxfu74JtKESFTn23EteQdb3bNEIhBrMJZEVapSS/HLZJK8m5/gs7EkgBfi80j1pOP/4F8WQ7ik8e+bYwckGnf/PYPeaZWZ1MFPmzYtz9OioIV1PJj3mzcv/0CIR25DJg79iqq42O0B1dYjx8bQxaNi2NFL81NdHS8Ri6bRn2GQBxONBY0V4113f5sSJC5lxbh8a8piY+A5vfevHKSvLc6RSHnPn5tljsQDhsMWTT/6cF16I4XnLs58Rbr/9FTZuXMkFF2yhujrEyZPmABsISCPFT2NjrET5mEq5hrWazx4oSbAai9nGOdvcuX4Ko8IBr5g9HrdLvEaV0lRWmg/PysowPT2TxoAXCEgjDETJZuwSu7Akyi7KmSbLShJMGrJr8GOQMieMAU+ojHFgj4hTGM/kv9FDSVMYpEQFUp0tGvCCxj21NQeRzqCNDABJtG2aKf/w3j1cum4PW9fP9JsU3/vFM7zy8vNsPveCbF3NWauzfH8T2jHFBqIMMzNDlt2ajX2g6HwnCAb7PET6BSMnHCrPblkW8dpL2N/eyfrl/uw+nYF/+WUjX/pCPtcb4J8JOmcwbdo8I++dlhVAabvPDOT5z1juP4iNYOYQheEBWs5F6JfQhd+jSqADcxFC8L6P3Mmf3/EeljYeQilBd38d73jbVdm28R/ClZWVXHHj3/Ohv/0oq+afZXg8yHhqHrd9+A18+/v386YdL+bi5GCU2+/s41jHKpYtzeZQ1O5rsI9ghtGEoGBwU9a8bE64gsFATaECBWKrbKB7cSnp77LBz0peMOAJMOzxtKykZNjQjm+0bdRdgVBjRWEFYQonVsqej+XuM9l1AlUYc0nA+K7+K+W/fRtTCPE6IcQhIYQSQmz+D667SgjRLoQ4LoT4i/+s3m3bzIfbkiX+WdDUlJNbDcyfHzeSm0opuOCCJiYn/XQz09MumYzikkvMh82FFzYhpWB62sVxFBMTDuecU2eIPMrLg6xdW50zpE4kHCIRm3POMVdoO3a0MD3tGyEPDZ2lr68M80dscepUC+Pjx0gk3Cx7hgULynKruhn2rVsbOHCgA88zD6dHR9fwne/8W7Zd/MPfPHuGzZvrjMGmoiLIypU+u+v67PF4kI0bTRXYjh0tJBI+u+N4TE46XHyx2VYrV1ZRUxM22n3x4goj0N2yJFu3NjIxkSGT8UgmfbbiZLHbtzej1Ay7x8REhnPPrTfNoa0qPHuFn+1Yuf75kyj3g3oLihe8BKESoFIIMlnnk4uNa1RgNchqvw7lINQEXmBJflUHIGzc4BaEmgDl+IpL7eEFzQe4F7rY38JR09m6JnGD51IYPKutWrzAsmxdM+wVqCKlW/eJUwUDnV/evmuaJ371nQL2tSDKs+yub09mLzMfqCKAG9xcxK5K2YMX+1uWKplnD2wxxAbaqscLLMm2u+PHD8oqVGBV7pr3ffArPLr/zXz8Hxr45B013PYPC/jg+96IXXaFcT8V2OgPpF4h+0rTWUMEcYPnmuwovNA2oy43eLG/8lZJUJks+1Zj0qHtJjxrga9EzLHX5lSp8+cv4Iu3P8rVb/w5N7zuvfz15/6EpvqwrxwMXZKrZ8v5O/jc37zAJVd9jLe/4wN85hNvJRZOMTx0tmCg88t7b53igQcfL2AXeKELi9gvKWKfwAucbw5+9hyUNd9od201om3TwccNbc9ek/ZTBalpvJDp9ekFz/EnR162v3uTePaaInFNBC+4seB+CcDGK7TQy7ILncqxoyZxgxea7NZclDUvV5dQU2irCW0V5LMTAje0DVF8Bv57lP/2wQ5oA24Cnn2tC4QQFvBN4GpgFfBGIcSq17oefKVgYZFSsG5dDYmEy+HDIziOW2IDBn4W8qqqMMeOjdLbO8WiRWXGig38Lb2VKysZHJzm8OERgkFZorIEWL26GikFhw+PMDqaZtWq6hJJf21tmLlzyzh5cpJTpybQOlBSj+PYtLSESCQyWXaP9etrS65bvLgSWbz/6H/63AosErFZubKK/v5pjhwZJRy2jDCAmbJ2bQ1SCtraRhgbS7NmTXXJ9md9fYS5c+OcODHBqVMpGhujJUlZpRSsWVPN5KTP7rqe4TQzU5YuraS8PEB7+xi9vQmWLKkosXKLRm2WL6+kr2+ao0fHiEYtli2rKKlLBdailS9qEGoMz1pNsWu/thrwZDPSPUFInMaTjf5qqLAIC9dajVDj/kG9Uih7HcVF2ctQlOWSvCo7e4ZiNETMF3eoPqRzFEUMZS2bpa51WfZDCDWOa60t2f6UJduhYFmgVcG2r7DxrLVZ9kNo5c3Obi1HEfPZVZ8fMlGcvdwqQ9lLkF5vlr3MDL/Isa8B5YsahJrAtU12y7J4z5/9HZ/6zBf51Mdu5i8/uIU5C9ahS6zcbDxrDUKP+YHHipIB32dfhsIPjhaq3x+cSrb0ylHWEqTXg3TaUZSjiu3QwJ8MqUyWfQrXXleyDVffvIG6hiVIt5Og6MGz5pim4ICQQZrnb6eqPJ1ll8ji7V38vHWOo7L3m2Ev2tKTFShrcZb9GEpUoooSmwJ49jpQTrauaTx7bQm7tuaipC+eCopePGteCTsiiGetQugRpHMYhTVru3vWKpQOZNt9KMteFK8pK/GsRUjvDNI5hpbVaHth0f2EP5iqdPb3NcNuHuxqaz7KKn3e/a7lv32w01of0Vq3/yeXnQcc11p3aa0zwL3A7v/oDY88YuZzmpjI8Oijp2hoiLB+fS3V1REefvhkSfzaQw91k067rFlTw5IllXR2TvDii6ZKr719lFdfHWb+/HLWr68lGJTcd1+nEVPneYr77usiFrNZv76WOXPivPDC2RKl5W9+00tvb4LlyyvZuHEZVVUDFAdRLljQw+hoE/X10Rz7gw92G9uf4NuFzZlTA5jqykikk1tu8Wdxhw+P0No6xMKF5axbV4NtS+6/31Sbua7PHo8H2LChlpaWOM89d5aeHpP917/u4ezZaVasqGLx4hhjY2kee8xs95GRJE8/fYamphjr19dSVRXmwQe7jfg8gPvv78Lz/EHWD/8Y49VXTQXWgQPDtLWNsGhReXYwltx/f5HCSzsEkveBXY4KbUDbLdjOswjX/A6t9NO+Oi24gpRejNQjWKknjGuEN0TAeQZtN6NC69F2JYHUA2aMG2Cn7kMIjQqtRQUWI90jyIzpKCEz+5FuG8pehAqtRQiw0w8UsWcIpB8AuyJ7v2YCzjOmIAYoq6jjpKnd4fHnA2zccnMB+wB2ATt2JYH0/aDNrdtA6j5fuRpa60u83TZkxhTzyMxepHsUFVicZVfYqfuL2NMEUg+i7co8e+ZpP0t1YbunHkfqUVRwFSm9CKn7S4QSwu3Ddp5F2y2o0Aawy7CT95coan12iQqtQ9sLsZz9yIyp2pTOK0jvGCqwJMvuYieL2z2VtcmqzrI3Esg8YQpiACv1GEKPoYKrSOuFSHU2J1DJs/f4+d5m2K0Ylh0xAvABfvJomJ2XXpi930Jfol/kaGI5LyG941n2NQgc7OQvi9iTBNIPFbDX+/kBlalStlOPIvQEKrg6y97ji6YM9tPYmRfQ9lxUaD1CRrCTvzCVnVoTSP0CIYPZdp+P5byCcIrdh15Aqm5UYKnPrlPYyYeK2KcJpB9B27U59kDqMVMQA9ipR2aJu/zdy3/7YPf/sLQAhRn9zmRfe83S05MwHD9aWwdLhBKBgOTQofyhcCrl0t9viiAiEbvEAqutbdjIjec78LtG9vAzZ6bIZEwnkng8wL595kFud/dEbgtRCMHrXvcG6uoex7a7EeIkixY9x623XkdFhblisizBkSP5X9D0tMvgYJLdu9/C8uUHiUQOAL2Ulb3EzTeHuOmm6wB/sCs8t5wR4BTm4jt5crIkzCAet9m/33xwnTgxYWx/BgKSM2cSxqC/d++Q4ac58znb2/PsU1MOw8MpIz4vGrUNSzGAo0dHjO/QZ08bVmfC7UYX5RL383uZFljSO2metYkgljplXuO0mof6gBaY+bbURDY3XuF5VtSX8BfW5R4psk+S/vsKHkrS7Sxx69EihnRajdfe985t/N3dy/nRQxEOtMM37onzwpENXHV1frCTzt7SMxmtspZkM+xj2XOVQvZYSYoa6R4zhTo59vxDSTrHzHPS12C3vNNF7R7yv4vC+83CDp6Rk1Co0RJ2LeMl7JbbUcRuIdWwEV4hnfYSUZMWMSyn2C7sjLHt7LOfMN4nnX05MYd/jeD9f3otn/rnTfz0sTj7j8LtdzXQM7GBLefmV8e+xZypupVuB6alneWfPxaEKEjnMLooTyIialq+aS+b2aIwxi2E9MxJrm8LZ8bUCdJZgVT2JTXkC1uMdvc9LQ12r9Nc7QkLofrwM3nMsLeZ56SQzUZSYLWnXaTXW7Iz8/uU/ysCFSHEk0DjLP/1Sa31A7O8/l8uw8NDHD9+POdE0tc3Rn//lLEVl0579PamcwlcMxnF8PAgiYTZ8QMBQUdH/rX+/n4mJ80H6tSUy4kTNqOjgez9UgwODpJIFJxraI3nBenoyM+uh4YGgMKHfA1vfvO7aWnpxXVdtm17PW1tSbq6+g32VMqjt9chHh/LfZahoSEiEYubbnoXfX1dDAz0smTJlbzlLes5fvx4jn1qajb2AMPDPntvb5KBAZPdF6yE6OjIr2oGBwcNp5f+/gEcR+Xu5b82Sn//tDGQpVIePT0ukcho7u/h4UGmp83uGA5LOjoK6+9jetocDBIJl+7urtzkIyjOUGkNoiicCSoyWjLh5QepOnsIXTDXG+jvR+AwWDCQlVt9BEUfhfm7JEnGvTOkdTD79zS1gSFUUXyXIsJIQV3V9gASM45KimmGnBOorDotJM5QYQ3k/s6zB4rYx/nwB27icHsfz3cMsGHLPOY2lxntXm71ExT9FM5n8+wy+/cUdYFhvKL4LkW0iL0fiRlH5bN3o7JqyJDoybIXbsV5pHWQyQL2ensQVXAm7be7Kmr3UnaLaUa902SyEymLSWoDw3hF8V0eMUZL2t1MNmqRZMDtQmfFEhHRQ5nVV8Ke0hGmcuyaOnsQXSDoGejvBzRDBfersPoJCPM3bTHNn7z/0+w/NMwTx06x7qKVrGh+Pvv+gjvqaUa9YnZzJS5JMni2C51tw4joJW715T4LgMAlqeJMqZm6FPX2EKqEXRSx9xEQQwa7JMGodxonO0jZjFFT0u4aVycZK2CvsQdLBGCSFINnO9H4z5mo6CVm9RltKnCYVuUkcuxets+EqSraBf1dy/+VwU5rfdl/sYoeoNDLaU72tdcs5567iOXL81Y+LS0u//Ivh3MZB7TWpFIeV121yliddHYGjIzYiYTLhRc2snRpfn87FGrkgQe6cypAz1PMmRNg8+b8GczixZrjx4+gNbkBYXIyw+7dywwn/+3bfZeVaNSmv3+AysoaNm0q5/LLr8xds3Chw513HsmtyLTWpNOKyy9faYgzjh8PMjiYJBCQNDTUk0i4XHRRM0uX5s/IbLuBhx8+kavLdRXz5gXYtMlk7+g4nMsb57M77Nq1lJqaQvYYBw4ME4nk2ZcsqWDp0vxX1diY4c47j+baKs++yhi8OzoCDA+ncmeaU1MOO3a0GOxC1PHII6dydbmuYsGCIBs3Fpwf6UUEpjuZyb0GINQkmchuGgqcT6z0NqR7CESYgf5+6usrUNZyKsMFdakGgtM/zM/UtQLtUBHbacw07eljWam1nb1fAie0k5qCND/C0QTSj+dnztpFi0VURAuEM3oRgUS3X88MuzdJJno9DQXiDCt1IdI7Sn1DQwH7SpPdqyM4fRfaKi9g96iIXWKco/nskwXsUzjhK6ixC9mvIJB+qoDdQcslVEQKzgD1QgKJ7Go5u5sh1CSZ6C4aC5xPrNQFOSPrgf5+6uvKUYE1VIYK2WsIJH+cF0ZoBXiURy82VhT2dLu/vWWwX02tnT/Xkpmd2Jln80bW2kHLWsojawvYFxBIZPMR5tinyER3Ge4hVup8fzUkQnn24HqqggVt5VURSN7tx6Hl2DXl0e0sXFrIPuwLOLLfhc9+DbUFlmg++28L2DNouYKKSGGmjPkEE2d8paPBfp2xk2Cltvir0Bx7GSq4qYi9nEDyp2Z/p56KqJn6KjB91N/Kz7FP4oSvo87O/+5lZgdW5oX8qlpnULKJikiB1ELPIzh91h+oc+wJMrHrjLNXK3keUp0qGjp/9/L/l23Ml4GlQoiFQogg8Abgl//RGy6/3PQ5jEZtdu1ayNmzCVpbBxkYSHLTTYtKJO/XXLOAWCzA/v3DHD06ypo11WzYYB7kzptXxrZtTXR2jrN//xCuq7jpJtPSSUrBzTcvJpFwaG0d5MSJSXbunGMMdABbtzayeHEFhw6NcOzYFHV1YXbuNNnj8QC7di2kt9dnHxpKcfPNi0wVInDttQuIRq2czde6dTUlYpCFC8vZurWB48fH2L9/CK3hxhtL2W+5ZTFTUz77yZOTXH75HGOgA7jggiYWLCijrc1nr68Ps2OHqQQtKwty7bXz6enx2UdG0txyy6ISsct11y0gFPLZ29tH2bSp1vAtBV9Re/75eXYh4IYbTHaEhRO6BeGNI9OtSPc0TujKEosvL7gNLecgM21EZAdatviKSaMhynFC1yDd08h0K8IbxwnfUrKl4kZ2o7GR6X1I5xiufQ46YPpL6sAy3MC5SOc4Mr0fjY0bKTp2FhZOuIg9fE1Jfi8vtB0tW7Lsx9FyDl7IVFBiVeKEr56F3ewzbuQGNBKZ3o90juMGzkUX+XrqwEpcexPSOYZM70MTxA1fX8RuZ9nH/Pu5Z3BC11Js8eWFdvj50GbYrQV4QVNBiVWNG7oS6Zz061JTOKFbSkQXbuRGNKKA/X+z92ZPchx3nufX3SMi77oLqCoUCjcPkMTBAxR4kyIJUlST6lHLZNbq7RnZmK3twz7u2zzPvzGaXtms9UgasWVaHdRFEgIFHiDuq6qAOlCFQt1VeWdGhPtvHzwyMzw8KVFUz2qX1mHW1kIyy+OTnpHh4T//+vf7FZBjCjiU9whC57gW4DQvgpDW+YYGu4sg/U0wuRmxLyFI/Y0x0Gn2r4LYMLh/pcPunjT7SgwhSL0CHsyBNy8AqoIg9a0u7N8EUdhmD7ynzHgpAMo7ilA8HGPPIUx/LcHuIUj/OzC5HrHfQ5B+0xIZydTLIAyCN68gzW9DiUOQbsIWTuxEkPpqh53q0TVj1qeDzN+BKIjYbyNIPQtyzHuW8o5Digcj9ssgFLSlncGeQpD6BphcjdiXEaTfskRGMv0qCOa2jC9y/NUHO8bY3zLGFgGcBPAzxtg70etjjLGfAwARhQD+dwDvALgB4AdEdO2z2gRgWYFJqfDuu3fR35/C8ePD6OlJ4d1371r7yVo35CNHBnDoUC+uXNmwNlOXSk18+OEyJiYKOHp0CL5P+OAD07EF0OITzhmOHx/G2FgWH3ywbIlK5ufLmJrawoMP9uPQoRwWF6u4ds1cGwtDhffeu4uBAc2ez7v43e/uWqkD58+vYmOjiaNHB3HoUC8uXVo3nEoAoFhs4pNPVrF3rxbXNBoSZ88mbLIA/P739yCEZh8dzeLMGZt9ZqaI6ekiDh/W7AsLVWMdscV++vQShobSOH58GJmMg/feW7LYz51bRbHo4+hRLVC5cGEd6+tmeW17u4mPP+6w1+sSH35oszvB+yCegkodhxI74PhnjLUCAGDyFrichXIPo64Ogss5sMQ6m3YYOQ0ldkCljoN4Ck7wnnU+4X8MTiWo1DEoZz+c8FNAJizR5Bac4FMoZy9U6ig4lSH8j7qwvwfi6Rj7aUsQw8LpGPsBcDkLlrQeI/9zsn8ETlWo1FEoZy+c4FNAmt8hk+twwgtaXOMdBacShH+uC/u77X4nMRyxm8/jLJwEl/MR+35weasLe1OzO6O6LSbgBLZYWzQ/BKdajP1jS1TC5Bqc8Ly2Q/OOgtM2RJBgJ4LrvwsS2Yh9AI7/viWI4cF1cLUI5T6EutoPJm+ByaRAqgGneQbKGYNKHQeYgBO834X9A3AEbXY3+AiQpQT7Mhx5Oca+Ya4jRuyO/y5I5CP2fu1eYrFfA6d7UN5DaKh92vJL3km0VTfZQRD+Z7GHEfsE3OZZyx6PhUtw5NWI/RFwta6dcYzzKTj+eyBRiNj74PjvImmPx4PLeo/qX3j81Qc7InqbiMaJKEVEO4noVPT6EhF9Lfa+nxPRfUR0gIj+859q99y5VeOGeuPGFiqVoL0XLpMR2NhoYna2c4FJqaK8NxeMMQjBkc+7lvXYH/6wAs8T7ZJboeBicnLLcPff3Kxjbq7cLpu2ZmEff2zahX3wgbYn45yBMda274of165toloNY+wO1tbquHOno44MQ4ULF9bR0+O12XM5xxqEP/hgGamUaM+sCgUX165tol7v/DjW1uqYmysZ7EopSx159uwyenpM9o8/NtchLl/eQL0etmfQ2ayD5eWaoUoNAoVLlzba/e44HNmsY/X7mTNLSKc77Pm8i6tXN41BmIUr4PJOp3zCUgAC6ybhNM/qcg3jAJj2Q0wMPvrH2UR7ky3Pgsu7YGFMCkk+RHC5U7ZiDohl4CQstxz/TFRq0t+hXtS/YgzCLFwCl3c7ogSWAuBbNwnH/1CfL86esGvSwpAwwb6oNw232RsQwZVO2Yo5IJaG45u2VcI/ozclMwdgLGK/ZAzCLFwAl/cS/d6wbNpMdh6xm/2u8/tUR8jCtauGadNWBw+vWeyiK3tOz2hb7P4lmFZnd8DUKtrSf5YGULX8OEXwkcEOXoDTPJs43zmAUYJ9NmHTVgMPb3TKwswBwbPZm2eia7TF3gPhn0+wzwJq3WRXFdPTkggi+CR2vfOoH5Ln+0jP4trseQg5az5AqAp4eDPG7kb5ecl++MBkFwU4wXmYdmG3AbXRmcmxdORlGssIJIIIznXK8X/B8Vcf7P5nHfV6iDDsDHbLyzVkMmYJJ5Xihn2X3hxt5zDFY2UAvfYWF1wAOrctHp2zudm0fABdlxsBry3ObuxxJenyctVi9zxuzNr0502YvzLWlT0uKgF0XJDJ3rDe43nCYq/V7NyxWi13BQTvAAAgAElEQVQ0HjJWV2tGGgSg+2FlpW78TTf2OBOg1/G6scc/I6N1UFK5xVJAQgLPkobBgB3nI9dg21Z5+sbYfqFmPYnq0MtkNFDFKmUBocHB1HoXZV0KTCatmLqxm68xuQ7L+ok5Brv+m6T1E7dt06hqlbJAIWCwr1nKOrB02yj5j7Ij0VdqE0lXGuLCsKRiqprIFWyxJ2YY3dgRJNhXu7BnwFT8wUDpNTaLPdHv3diZ0ANS+z0VnWln/KGw2dHFbBMh4qbL2tkm4YLDMuY1CtmdPXnN0DaQuP4IDIw2Y+/5DHaVmJWiy1YB8gEk2RP781gaTMYfmAOrKvNFjy/tYNfb6xkbuO+7r8/IoAP0TfbQoc6m5GzWsWTyUhIGB82LaWwsZ+0T8zxuxNbE3U1aR70eYmLC3Gzc35+ySql9fSlj+8N99/WhXDZv/M2mwv79naedfN61BhUpFYaGzItpdDRnWXylUgL9/Z3POD6et5i6sQ8MmOxEhL6+lLHd4uDBPmvQajYlDhzosBcKrjWYh6Gy1jdHRrLWw0gqxQ1bMSUmwJKDj6ra6yG8H4afG5F+Lf4e5wDiSeIAwCiAim+OZT0gnrTcCqG4uVFa8WGrpEcsrXPN2ufbmwiuhLZ+Sq5DdWU31/XI2WelFzAKoZyOaItYr32zoaAL+w6rLEY8BcTZxX7t25hkF0n2vgS7gmKJfhd7YGT/AdA2Zp11IeJ9Xdh9EDdF34oP2ewsDdPq7IDFzlTZ3DjPOIiZffy52aFAscgd4v2wbdp8EE9Y2rEh60GKWAZx+ywlDoAps9zPqJJgd0xLroiduLkOpsRuJJMXGAAScZu2Adg2bU3LkKE7exZxL9PPx+7hX8MXE/gSD3Yvv2wumE5MFHDoUC+KRR8bGw0Ui0088sigkWfHGMNXvzqOej3E+nqjvffrpZfMtk6c2IneXg9bWw2srzdQLvt49tkxY3DNZp22BdbGRgNbW03s3Jm1nE9efnk3lELEpK23kux79/bg4MFeFIvNGPuAkWfXYq/VNPvmZgOOIyyrs5MnR5DLuW32SiXAc8+NGYKRXM7Fk0/ujLE3MDqaw8MPm4KRl1/eDSkJGxsNbG/7aDYVXn3VFKgcONCDvXt7sL2t2yqVfBw/Poz+/s6NinMWWY912D1P4PnnzR/QU0+NIpNxsLnZbLO/8MIu0xyaFyC9JwBVAuQGmNwCiXEo50GjrTD1qh58wg0IbAPkQ6ZeMd5Dzn0gsQdMbkdtlSDdRxEPXAXjCFMvausxuaHLVcyzBCMy9Wz01Lql36eqCFMvwMzP64H0HgOTxaitIkjssQQjMvVKjL0IUKA/T+xQzgMgsbtzPlnUdlBxwQgTCLwXwGQFkOv6vSxjWW5pdk9/tjb7i+ZMVfRBuo/G2LehxF5Q29C31dar+km9zS4RJvpduQ+BxJjeRyc3AFWC8p40BSPMQeA9F2PfBFgOMpEjqO28WuzrYKqGMGXmuJEYgHSOGP0uxX6QMLXuYfplQMXY0Y39EZAY0YbJEbv0TsIQXTAXgfdsot8LluWWTL8AQHRhj/lNimEduipL7X6XziFQ7KFGs78KqIbJ7n01wX4MxIfb7EyVEHpfgeHswjyE3tMRe+t674X0TiTYXwLAtalA2GJ/xWR3RiDdh8x+d+63xC5h6uXIRPovO760g11843TraIWubm42QAQjWbx19PZ6SKUESqUmarUQvb2e5ezvOAyDg2nU6xLb21ounwwjBfTMRwiGra0Gmk2JoaG0VYbLZBz09LioVHxUKgGyWddiZ4xZ7MPDtrFrb6+HdFqgWGyiUgnR3//H2ENsbekEhKTRNaD7hnOGjY06fF+1/51kLxRclMs+arUQuZyLXM586mOMYceONMJQRuxkzTYBoL8/jVSKo1hsolqV6OvzLGs1x+EYHEyhWg2wtdWA6wojpbx1KK4HZS43Iqn5sF1C5BkQK+hsNlYFsVxH4t2B1z6Y5IPLTRCLZgrJg/WD4IGrbUBVoTAAIHn9ufp1VQFX23qvEbMVZooNghgHl5vRE/OQVYYjntUbtqkEzir6qT2RzgDG9d9SELHz7uy8H8RccFXUMzEMwN6R5EGhH1DViD0F6sbOB0GMRewBIIa7sOc+Hzsf0vZdcgMA02nwFvuAZpdbINWAYt3YXSjWF7EXI3bbHk/xIYAhYg8BsaMLewHEMp1rBj3mpu82+zAgm7otcGsG1WF3wOUWoGrRNWv3O7H+GHvanl0CID4IMBWxS913yfewAohlY+y9XdgFiLXYt0AQ3dvigzH2RnRdJS3sPF05UDVwKkXs9gxNt/+n2HsSe0+/2PGlTSr/l3+ZMWYi6+t1/Pzn8+jvT2FwMI102sHU1DYefHDA2H7wox/dgpSEgYE0ens9lEo+arUAe/d2nogvXlzHpUsbGBhIY2AgDcfhuHlzC8ePD7dLeEGg8MMf3kI262JgII183sWdOxX093uGhP+ddxawvl7HwEAanPvIZDK4c6dsyO5XV2v45S/voK+vwz45uY2HHhowth/88Ie3QNRh3972Ua9Lwyf000/XcO3aJgYG0hgc1Ow3bpjsvi/xwx/eRi7nYnAw02YfHk4bM7Jf/nIem5vNNnsqlcHiYhmHD3d+3PfuVfGrXy2gvz/dZtdbOgYN9h/84BYYg8Hu+8oonZ47t4obN7YwONhiZ5ic3Mbx40Od0ik14NV/BPACSAxqgYCcg+IjQKzU5zR+DkbbIDGIcoUjn0uBy7s6RDI6WLgIp/EbkDOg22IpiPAmpPuIsbbh1v97NLgMAKJXB1VSaDyhiuAjcDkFiMHIjJmDh5NQ7rHOTZXqNns4C8XHjNmk0/iZjgYSAxG7qz05Y9sdWHgHTvN3IBFjD25CukfQ3jpBBLf+A4C7MfYNAGSkIwj/D+DqNiAGInYGEU6Z6dRUg1f/sckezOjSWMxRxGn8FIyqMXYHTK6AWnE0AFg4C8d//3Ow/zN07togIApRugEz2ZsfgKvZBPs0lBfb36gq8Opvg0RPxJ4FD25Dib3GbNKp/wQMtRi7AJOrILcz82bhLTj+B7FrxoMIbkC6RzuzeFL6muGpiL0HTK7qwSZWMhTN0+BqPsZOEOGtBHtZW7fx3ja7CG9Bif3G9gOn/i9gaMTYOZjaNGbeLJiEE5yN2Ac0e3gD0j32GewDut/lPYClQaJjci+a74GrxYi9HwCBy9tQrhlV5TZ+AhJ9EXsmYj9kDMRO420w+FDe8fZr/5ZUHjvW1+uG6OHy5Q1rxpRKCVy/3hEu1GohtrebxgwmlRJYWDDXPm7fLlrWY7p82JlqLyzYlltatWlKo5eWTFcXzhnW1hrGWtjlyxtWFp/ncdy40Vk4rlQCFIu+sV6WSgkrsX1mpmit7dXr0rALm5srW2t2hYKL69dNSfrycs1gF4JhZaVuCFSuXLH73XW5kY5eKvkolWz2uTlz0XtmpmQkSwCIZnkxC6JwLuEsCm0XlrQzUssw7ZMEuDSVpDy8alo/QYsNeBC3C9vWru3xWUAXGykWzplrTIzp0ifF7MKCW6CkgS8r6M3vcS65bJY/mdCfJ/6e4Kr1JE2MgYedYExG29rp3wBNg4emjRSXd0wRRCsLLW51FkxZwiBt35W0kVpJsDsQCVk5D6531K2ttkCmXRht2n6JPAOeSMPmqht7yViL1erCpCAmDx5eib2gIkGFyZ6UxIsgplRssyuwsCPzZ2rDFp/wjN3vajHBzrV5QUxYwsMblkBFX+9xdqmTvo2YI1crf+Ps4aTNTiFY7H1MrYElnID0Q5kZFqvZ47ZwXGcQxoQyIrhm5dlpi7mYgpcC8GRE0xc8vrSDneNwY9AqFDxL3BCGZGTEuS7vmhrgOLYyMblPjHOGVKrzY89mHRDZysFkXp7r2g72jsOMe2eh4FoDp5RkZNB5HrfKjLot8/N0Y2cMxuw2l3Os90ipLBFJsm39ebgxaOVy3dnjA6Bmt5qyypjJfwMA5zBmiMRyYEgqaiWSmVjUxTzIUnEiC0utSDLhH5iyBijdfrKM2e183LghEC/Yyk5IIFHCsRSb6PJ5WDb629hLpIwBkOB1ZU8KELr2FZhxkyWet4QgXfu9i8chJQUPLG31A4M01r20xVSCnQiWErKrSRQzZubECl3YQ5Od8a7syXI1sVQXdjLa0kGxSXXr52XnMK4lluvCHiQGLY7u3pJJ1ajXnT0mKtGfL8mu7AHXuv4BlmDX/qfd2OMPaQLdfjtf5PjSDnYPPNBv3PyPHBkEEdozFikJrstx//2d0pbrchw61Gvs26pUAjz2mKlOe/LJnYbCsNmUGBvLGVFAIyM5DA6m2gMsEaFeD/HEE2ae3dGjg0ZbtVqIw4cHjAHj6NEhKGWyp1ICBw92SlueJ3DgQC8ajc7FWi4HePxx0/1Fs3c+X7Opg1TjcTpjYzn09aXag5RmlzhxwmQ/cmTIaKtaDfHQQ+b6xKOPDkNKirErZLMODhzosKfTDvbvT7L7Vl+dOLET5XJnb5dmLxgDJ4lxHezZugGQAqMmpGdGJUr3iJ5ZtQ5VteJMZOpxrY5s7Q2iEGB5kNjbeRPLaAVefL+cKtsL9t6TegbYBm1CiQnzBi4mANaTYPe1sCR2KPcRQ2nJVFWXyYzzPQ5GvsFOrAcUUzSC50Bd2Z9ItPVEF/Z9xkyVxP7oxis77AghY6Unzf5wgr0Cmex374QWJMTZeZ8O022z5yP1YIydKpBust8fT7A3IJ0D5kDtHNQijDg7SZvdechQWmr2RL+7LfboYZECEO8HxcODeY/FDqp0uWYe68J+0BgUlXO//neMHURmfiNjkM7hz8H+lS7sQyAn9jvkfVDOGNp7LIl0W0l291EtYmmD1iGdQ8agq7MOnQQ709d3G5RDOg90Ubj++ceXds1uz56CMWA4Dsfu3XmcPn0XMzMlcA78wz/cj3zefLrZv78H09PbOH9+FZubTTz//C4rtDSfd5HNOjh9egmLixUMDaXx7W8fMlWBAA4e7MXHH6/gxo0t1Goh/u7vDlhbEkZGcigWmzh7dhl375bw6KNjOHXKVFI5DsfYWBbvvbeE2dkShGD4znfub2/6bh379hUwObmFixfXsLXl46WXxi31Z6HgIZ3m+P3vNfvwcAbf+tZBg50xhgMHevHhh8u4eXMbjYbEt751ACMj5lP66GgOW1t1fPjhCu7eLeGJJ3bhlVcmjPe4LsfISBanTy9hdrYMz+P4znfut0qp+/f34MaNLVy+vI6trSZeeWW3pf7s6dGildOnddzQzp1Zix2MQYn9cPwPwYNJgBrw098GHPOBhcQYSK3DaX4I6S/BLTwJmTbVaWAuJHbCCU6DB7MA8xBkv2Mt7JM4CB5ehfCvgNEWwtQpkGeqP8F7QSTg+KfBwrsgPoIwk7CRYkw7sPgfgAdTAPkR+3DifLvA5CqE/xGkvwTRcxIqFiKq2/IgsQOO/z54VEINsn8PcFMcpMR+iOAyuH8FjIoIU6+BPNPqDLwPpBgc//dg4V0osQsy/c0/zo4AfurbgJNIsBa7wcJlCP9jyOYSRM8zUKnnEuwpKAxB+O+Dh/MAy0b9bs4elDjQjvVhVESY/hoo5keq2QdAChH7EpSYgEx/I8HOtQNL84OoRB3AT/+9ZTFHzgRYuAjhn4vYn4NKBK6Cp6EwCOG/Cx7eAVhBsydm45r9Irh/DYzKCNNvgJJZdXwQpEI4/gcR+z7I9JufwX4GPLgFQCHI/L1lMUdiAlwuQPifQjbvQfS8AJU6mThfGgr9EP57EXuPvma6sl+I2CsI02+B3L1mW2IIRD4c/wxYeA/KOQCZeTNR7udQYi+c5mnw4HaM3cyoJLEHPJyD8jqeoF9kze5LO9idPbtspJD7vsQPfnALhYKLsbEc0mkH09NFHDkyaMwA33//LhYWqti9u4ChoXRXYcbGRh0//ek8du7MYnQ0hzAkrKzUrRDUt9+eQRAojI/n0deXwuTkFh580BSVXLu2iXPnVjE+nkc6HcL3HQBkhKC2BCO9vS12gVu3SjhyZNAY0N99dxF373bY5+ZKGBnJGYrFtbUafvazDrvvE9bWbPYf//g2lNIcvb0ebt7cxuHDJvvly+s4f34du3dr9npdgHNzj2GjEeJHP7qNvr4UxsZycF2B27eLeOQRk/13v1vE8nIN4+N5DA6mMTtbimbLHfbl5Sp+8YsFjI1lMTKi9wuurzdw332xHzYR3Mb/ABhAzi6A98BRNyHdh4wfLfcvwQkugZzdKFZSKGRqWn0W3y9EDbiNH+qbvTOm15fkjA5BjbGL5q/B1RrIHQfxQXA5A+Ljhsyfhffg+L/Sg6wzAlATjEyBgGb/kS6ZObsAXoCQkzox3WA/Dye80mbvyVRBcA1xA6gGr/EjLfJwxgAmIOQsVCIcUzR+BYYtkKPZhbwNxScMUQkLF+H4v2mzM6qDUdH0oSSl+4o5mp3lIeRNPZOLPc1z/xyc8FqMvaKVejFxA1QVXvPHWvXnjAKMQ8g584kfgGj8MsY+oMUNzj5DmMHCO3D938XYq2BUATkxT1VScOs/0kKdFns4abEL/2OI8GaMvQxC1gyfVRV4jR+DxHDErtc8k1UD0fg5GEoRez+EnNZ7EmPKVBbOwfXfj7GXwahmhqCShFv/IcDT0feci9gTwbnBRxDhNMgZ1+zpIhQraMVsm73chV3bo8UPp/EzMFRBzi4Q74OQU5DioPEQyMLbcKNcP3J2Rux1c78ryUgglYnYsxByymb3z2pxS2z2+G8Cldhx9eqGIbK4cmUDUqr2LMBxOOr10BBKhKHCjRvbbfEJYwyFgmtZfJ09u4JczmkPkum0wPx8GaVSp8S2slLDykqtvRam1/SE5eV4/vyqUYbL5XRuXHzN7NKldShFBnul4uPWrQ6770tMTm63Z3ua3bOCZzW722bPZATm50tGKfXevSpWVxvtgY1zBs/j+OQTU8Bx4cJ6O4EAaOX1mU4lFy9qB42W44zrcpRKviE+aTY1u9nvHj76yDzfhx+uoFBw2oNkOu1gbq5kBPAyuQimNjqlHiZAcCCaph+iCC4Y6xo6T8y05RL+ef0U3frhMQ9MFU1PQWqAh7diFl9MD1L+h4m2zgIs3xloeEb/XWz/kLat2jLYwbjmMNgv/mn25jm9xmSwbxrZZKCamTvGGIjlIYIk+4d68Iuxi3DKEBswOacFK61BucWe5Epkpmn2ROad/0m0NYPH2NdNmzZVjVz8W/3OdVtWv38U2Va12LMQ4SRMq7PbAJUS7AQez1UDwLuyJ74b/yO99tVmT4GrVdOmTZUh5Fys37nOz/uT7DmI8Cbi5gQsvAXEkh80u0yIPAg8uGxsrWnbdxnn+zDacB9nv2c6+KhilAWZirFn9fVttPWJuW7IsxDhDWN9kYc39fXfZncABKaYjBREeAVJY+svcnxpB7sgIGOwKxZ9KyXAdbkR/On7yrDp6rxuLto2GqElBlGKjLW+ajUwZi4AIARHrWa7idjnU4bJRLHodxVrFIu+8TdJBWXrdZNddmGHwV4uBxAJ3YweYE32ZL/oz2Pahel+t9m3t821t27syb5pNKTVp1Ka/c6obAVxgrmAZcVkWxCxhOEyqARbgOBoVVn7hQYY2dcMg2//O8HOiBLrZcUuIghXb5D/Y5yA7V5CFav8RExoJWLsbywxD2OwTLNhnw9QFnvyfJo9YczcxfrJ+i7iN+/WS+DGd8jQ6GJbxYwBuGvbAACZWOuzbbIAL/E9q679juT3HL95t9mZyU4NwOp33oW92/lCc6D+TPZ4v0vbmQcAEhmFmj0RYgumryWDPfFbZdyyI+vW74QQiAX16PDdhDgJKYs96Tz0RY8v7WDX358y1IIPPzxg3azr9RAPPtgp32WzDnp6PONmHQQKY2PmU8WePT2Wp2UmI4xN6uPjeWtQqVZD3HefWS4cGckaA6xSZG3gPny43/K4bDalUXrM5+3N6L4vLfa9ewuGEATQM6T4pviJibylJK1UArNcCGDHjgyk7PSVUoTh4YwxIB0+bPe770ujrULBtdYffV9i165kv+etATCTcY0yrXL2WXZhTJWN/XMAoPhOU3lGSlt6xd/jPGj7FarAtO9ivaDkpmhqQnHTScYSJAD671hnfUK5B8GU+T0zqkQL+XH2YcQNdbWVVsLiy33AFDcAYKQMqzNivaDkZl1qaKGMcb5xm53lYNiFOYesG6q2fjJLYF3Zk/Zkzn02O2C4ghDrt2TroAbISbLvQjI1gljeKNMq5wHrPYzKUE6s31ub8hPslGCXziHbYg7M2HNJfKALe92wctPsoyYXkbaXi81ylPNAF6uzCpQTK5syR2/KN9hDvfc0fr5u9niJ0j7xIZtd1aEsO75Rc5Ai0tdL7G+lc9hyRmGUEIoxN7LHsx8o/9zjS7tmp9eROk9YuZwLKQm3bhXbBspPPz2G/fvNxdBdu3K4cWMLi4sV1GohxsbyeO21PYbx8+hoFisrNczPl7C+XofnCbz++l5jXU8Ijp4eDzdvbmFpqYogUHjooQGcOLHTGAwmJgqYni5iYaGM1dUyRkZ68eab+wz2QsFDGErculXCykoNjDE888yYsdG9xX79+ibu3q2iWg0wPt6DU6cmjIFzdDSH5eUa5uZK2NioI5USeOONPcaA4TgchYKLmze3cO9eFWGo8Mgjg5Y6cs+eAqamtnDnTgVra5r9rbfMjMDe3hR8X+H27Q77c8+NGZvFGWMYG8vh2jXN3vLhfOUVk31sLIelpSrm5srY2KgjnXbwta9NmC4qzIVCHiKcAg+XQAih3GNQ3qMGu3ImIIIpcLkAv7GGdG4MYeZN80mT9wGqARbORPvDOMLUC6adEWM6ny24pvctqQbI2QOZfhlxIQGJXeDyLng4B642o1y1N4C4mztzQSwDEU6Ch/dAkFDucXMTMbT/oghvgsvFiH1XxB57YOD9gKqDhbfA5apm917Ua1IG+04dXRPejQaLfZCpl/4EewZh5m+MAQPMAyEd9fs9EBSU9yiUF9tEDEDxiYh9AX5jHencuG4rzi4GAVUBC2cjdoHAewmIKxoZA/Ed4MGNiL0Jcg5Apl40ZtAkdoPLOzobjzZByEbs5vYRwIMIpnVyAxSk9ziUZ66zKT4BEdwAl4toNjaQzu1GmPl6gn0ITJWia2YVYA6C1CtAfE0yclnR/b6kH46cA1Cp52328A54OA+utkAsp7/n+MMVS+syfTCt919CQaZOdHm4m4AIbsbYJyAzXzdmocSHwagY63cXQfoV7SZjsA/G2H0d45N6tgv7vOZXWyCWR5B5yxR38QwIAiKYbO9xlaknoWIGA/F+/7dN5Z9xJPd2Aa2yG0U3Y9a1DOf7CmGo4HkCQnA0m9IqbRIRfF+BMRbF31DXcqQuz+k9bJwzNBoSie1rkJIQBHotUQi99y8+W2oduoSn29Jp393YKdpSIeA4ImI322qxCsHhuiIqA3ZnB/Q6I2MtdrOtMFQIAgXX5XAcBim793uLtcXevd91P7f6vdGwS5tEiNhZxK66plQwNPRMjaWivT1NWB2vdEmFmAMiF7o8ZCdQAE0wAIqloja6l7IYFBRSUTnKh1WmapX9mICCF5XgPqMsRojYGYC6zU4hgBDEBBR5ml0lSj1EABpgEBE7kCxbdT6fgmKeLmFRsyt7K1VbIaXZu5VSo37W7LDKcvposTuQ5ETsyb2Murwb7/fu5UgfjCQUcwG0yoDd2JsA1/2uv4fu7AR9zeAz2SXAQhBzoUjoMmNyXySRLm2DRezd0xKApp5pR+z683VhR+uacZEsHXdnZ9oD03pPAN3vLhQ5+t/Wnk6KStsx9i5taXEV6WumzZ68Zyn9O2RC76OksGtZllETFJ2PgM9m/1coZX5pB7t33jGDCe/ereDy5Q3096cxOppDX5+HTz9dw8ZG3fq7dNrByEgWO3Zk0GiEeO8902ngk09WsLZWw/BwBqOjOeTzLt59d9G40TcaIU6fXkJPj4vR0RwGB9NYWKjg6lVTwPHrXy9AKcLISBbDw9oC6xe/mDfes7BQxrVrW+jvT0XsKXzyyYoRuUNEeOedeaTTDkZHNXu9HuD99032jz5awcZGA0NDaYyNtdjvGgN6rRbizJl7KBQ67HNzJctB5de/XgARsHNnFkNDKQih7c/ix+xsETdubGJgoMP+0UcrxnqjZl9ANuu22avVAKdPLxltnT27jK2tJoaHMxgbyyGXc/Gb3yyag6KqwvH/oPOvnFGQGAAPb1nBrE7zV/rcYgQBBgEwOM13jPew8LZ2lRADUVu9cPw/AMbeJwWn+StdknRGQGIHGBUhmmeMtkTzA61gFMP6fTwLp/lrszyjyhD+WYNdhLe0CMFgfwcAA4lRhFGCc+vzdNinwMNb2qrJGQWJHi0iiJepSMFp/iZiHwWJYTDahmj+IcF+BqCKVh0a7PF+L2lBheiNsU+CJRxNNDsHiVFIDAIgi52HN7WiVQy22Z3mGcSdQ0ASTvO3IJEDnDGQMwxGm1Ygrmi+D1AtYh8FeNpml9sQ/idart9mv2G4nmj2XwBwQGIkxv7rBPs1cDlvsvu/h5EmQCHc5u9MdrWuGQz2dwGqx9hTuq9i7Exu6gy99vfcDxFeAwsXE229A7AW+wAACaf5G5M9uAImF2PshYg9NgBRALf5bsQ+CnKGwNQqePCpeb7Gu3q2LXZo9bFIw2kkfl9yTQt8on6H6IMIL4OFpiuN0/glwJNre3/+8aUd7La2msZT/40bW9aaViYjDPuuajWw1pccx8xeA4DFxaplW9VoSGxsNGLvSdgwQa8JJi2w1tfrRqmOMYatraYx+Ny8uY1CwTxfOi0wPd1ZQK9UAiM89rPY796tGmVGQK9dbm52nhgXFspWBFgu52J2tmi8tr7esNg3NhrGDHByctvqd88TmJ6O24UF1hqo65pZg5/F3mhI0y5MztkCFZ7XygwnI0oAACAASURBVMf4S0kLIsbBlfkgwoOpLnZhnmG5BSpZMSVgnm3fpZatxfiWhL/9nnDWFpXwfBcrpo0/zR7eMkt1AMAcw06L0bY962AeWNK+Sy1bXEzVYFidhbesTDjiBfBw8k+zx/LSdFu3LXbiQu+5a59/qwt7ylSbAuBqxRKMMKoaghEupyNXk9j5WF5bcbVfUOBqyxQZMa6Vvwb7rKUcJDCwsPMQyNSmPXNk6S7sa13YK1rA02af6mK5lU8EoIbapNxgF1bWIJdz9h5SKDDZeejUnzcxu2RpvS8v3hatdmEvw7Q6+yz2eL/7+jqzMgn//ONLO9jpNO5OB+3YkUGzaZYJWkkE8b/pZkmVtMnKZl2rxCYEDJFFt5y6MFSGxZdu27bCSacdY6P04GDaKlv6vplVl047cBzbesxmFxaX4zCLPVn+DAKFnh7zhpBsW3MIY02yG3sQmFl1mYywwnCJyOqbXM6x2DmH4VNKrN/OsyMfSOa9JRfZu7xGYsAqGzEKtMt8+4WMpWDTQoLkjzhtlyMhjPcR7wdLllKpCQjTlYaSOW7dXuP9XUQXocFOLAtKutWTghFHg6hfkuxMGO8jPthFzdq0HP+7siMRkMv7rLKVtjobiL0nqxWaFntyoLG/Z8AxhBLEB7uUNpumAz/jXdmB5PdsW48xKP19tN+T69rvlOz3ZOYdAMBF3LlGscEupc2meY1C2OG0n5edCIglLRDLwbZpk5H1V5y9W185iOf4acFPN/Yh82+S4bRf8PirD3aMsW8xxq4xxhRj7PE/8r45xtgVxthFxti5z3pf64i7+ANaFZhOi/Z6UbMp0dPj4eDBmBO+w3HkSMe+SylCuezj5ElTtfTUUyNRmri+AVSrAQ4e7DNmMIODGUxMFNozljBUCEPCiRNmW9oCK2jPhsrlAI8+aqoCH3lEJwTE2fv7U4ZAxXU5Hn54oB3yqtkDnDxpBkI+/fRoV/b4gLFjRxZjYznU67LNLiXhiSdM5VnLvouIQKT76vHHzfccPToEx+HtWXajEWJgII2Jic6Pw/MEHnpowOj3SiXA00/b/V6rddgrlQAPPNBvDIrkjGmVWatsRCFAsCy3QjeywCICQFFWXdKW6xj0WlB046UGiA+btlUsFVkxRTN5Utq2yjPdKaT3dDSjiB64VFXbIMUtt5zdOh6m9dRPIUAc0jVtq2SSXZURukmLr0f1MkrbeqwBxXfqzbtt9rS2m2rZd5EEoxqkl8iE856KZhSanamK/sxxX08xoW9SbfYAgIj6MMEu4+wlhJY92WP6XG32GpQYMW2rWBbKuc9iD7uxy5LJntikT2Jf9HDQjLG7pkM/WhZYrRlhxJ5KsKdO6LWwNnsdSuzS5evWwXNQzsHP0e8nu7A/YopKnAP6Qa7N7gNIJSy3GKR7PJYmHl0zqS6WdhSY7M5ElLjQYi9AigMd+y7SKej29f6ULve32cuQ3hHjwZCcQ1rkZLBnTPUx41DuMduw/Ascf/XBDsBVAP8OwOnP8d4XiegYEX3moNg6kgOG43C8+upurK/XceHCGra3fbz22h5re8CTT+7EwEAKly+vY2pqG8eODRtOLIBOEn/mmVHMzpZw6dI6hNDho8njlVd2w/clLlxYw507Fbz44i4rLeHQoT7cd18frl/fwtRUGbt25XD8uGmx5Locp05NYGVFsxeLvqWyBPRg0N/v4eJFzf7YY8OWfL+/P42nnhrBzEwRly6tw3U5XnjBDEkFgFOnJuD7IS5cWMPiYhUvv7zbmmndf38/Dh3qxfXrW5iermBiIo8jR0yLL88TePXVCSwv13DhwhoqlQCvvbbb2i/39NOj6OlxcenSOqaminjiiZ2WPdngYAYnT47g9m3Nnk47eO45mz1MnQJUA9y/ABbejQIvE7MH7zCkOAAeXEeG34J09lsOHWAphKlTYOE9cP8CIKsIUq9ZJRWZehaEHLh/CSycRuA8aTqCACAxjMB5Uqsj/UsgZCBTz1vsQeoUIGsd9vQr1pOtch+CFPsi9mlIcQCU2J4AlkaYegUsvBux13S/JA6Zeh6ETMR+G4F7UufgGew7ETgnwMJpcP8iFHJWwCsYQ+C9BshqxL6sA2UTMwrlPgLlTIAH15DmtyHFfaCEchAsowM7w0Vw/wJI+d3ZvedBSMXYn7Jnwc4oAudx8GAqYu+1BhXN/jogyzH2U1bpVrnHoJxxcP9KxH6/FawLlkWYegksvBNjN4N1NfuLILgR+wwC95ku9mS7ETqPxtj7ID0z4BWMR/1eBG9eAMK1qN/N36pyH4XiuyL2GUjxgB5s4gfPITDYAyucFgBk6iUQeMQ+i8B7zrb4cnZDiqPgwU1w/zIUG4J0P4t9W7PL9ej3ZbJL9zG9VegvPFhSYffXOhhj7wH4P4io66yNMTYH4HEiWu/23wGgWCy2P8xvfrNgJH7X6yG+970byGR0mU0praj8j//xsFG6/PnP57GwUG6vDVWrAZ5/fpfh07i4WMHbb8+03UPCUKFQ8PDtb3cuHiLC978/iSCQ7ZJkqRTgH/7hPmNP27lzK/j441Vksw5WVlbR2zuA++/vx4svdmYPtVqI733vOrJZp80eBJo9vpfwpz+dxdJSZ12rUgnw8su78cADnR/RwkIZ//IvM23j5yBQ6OtL4Vvf6thWERH+6Z9uQkpqlxdLJR//+I/3o6+vw/7xx8v45JM15HKavadnAIcPD+D55zsDf7Ua4Hvfu4FcrsMuJeG7333QYP/JT2awvFwz2F99dbexL3FuroSf/nSu3e++LzE4mME3v5mwrar9EwDVfopkqgw/84/GD1L4fwD3LwI8i9WVFewY7oFyHzYTxlUFXu2/dpwgSAFQCLLfNZ5Qnfrbev0jurEzWUGQec3MCgtvw238ItaWD+LDCDN/m2D/HgDWXtdiqgI/++8Nmb9ontEOGW32ApR7zEzpViV4tf8zwQ4E2f9grJk59R9HOXBe+3xB+g3DkoqFU3Abv0qw70SYeSvGLuHW/gsAEWOvRuydWbxovA8eXgd4psPuPWrexOU2vPr3O+ulJAFwBNl/b7LXfgRGW+1BiakygvRbxl47FtyE2/xNjL0JxccgM38TYw/hVr+HlusLiMCoDj/3H4xSrWi8By5vAiwdseehvCdME2S5Da/2fZCIszsIsv9oPCQ5tf+uN/gb7H8Lcjq/e+Zf11ZnBvsuvWWgzR5E7E6C/btGqVY0fgsupw126T0JFTNIZ3IDbv3/MvuduQgy/0uC/Z/1TD8alDT7N42qAfev6ExCg30CMvN6jN2HW/0v+tprsaMBP/td4+FUNH4NLm8jyP1v7dd6e3v/7EW8/y/M7D7vQQB+xRj7lDH2v/6pN9+6VUxkwq1H0Tm6jzjXN954JpzvS8zOlhJxNy4uXzYXoT/9dBX5fOfpQwtBaoYby717+t/xtbd83rGsx65e3TRme61Q2fhDyIULa/A8YbBLSYa4ptmUmJ8vG+z5vIsLF8xF6HPn1oyEg5YQJK6OXFysRC4qZlTPJ5/Y7PGcvUxGB7PGj/Pn14x1PM5ZtO+uI26o10MsLFQt9vPnzeeaTz9dM+zJPE9gaalqJCEweQfaPSQe+5OFCMxnKB7cMPcr8Yy5qA9A+OfMdRrGAWqCxXPHqKbzvoySXh7CT1pgmfZkYF60Ly+WACBndfk1vseNpSF8U+nGwyR7Vg8gFntsTYbxiHWu85qqaAYjZihvnU/4Fy12JhcRFxto2yo/wZ6yrM64nEzstcqCBwn24Jy5fsUEGFVMAYcq6Sy5eDmSF7Qy0WgryZ7SdlcxgYgWAAUddsZAzDW/QyIIOWlWCHiuC/tHZuI9E3rvWjw7Tm1H2XjxmKG8dY2K8JLFLuS8sb7Ig5sACxPsDoQfs2kjBRFOW+wiSOQk+h9Ha3IxdrUNJjtiK6a22vsH/yh7cLkL+6yxFsuDGwAjkx08YXUmIcJbVmXmixz/OkFBf+JgjP0GwEiX//SfiOgnn7OZZ4joLmNsB4BfM8ZuEtFnlj6Xl1cxOem2Zw+3bm1iY8NUPgaBwvR0E5mMvkE3GhJra6uoVMxuEQKYnu783cLCCqpVUwRRqYSYnLyFgQF941hcrGF9fR31utlWEGxhejo+KK4YTCsrq2g0JKamvPbrMzMblvLR9xWmp314nh6I63WJtbV1VKvJzDlmsC8urqBWS7IHmJoS6OvT7HfuaPZaLXZBE0GpbYN9eXnVGBBXVlbRbEpMTU21B7eZmQ2srZns+j0+eGSUXK2GWF9fRbVq9pXrMkzHhIiLi8toNEyRUbUaYnLSQW+vvnGk2Ax6xTqUEY5JCIhQlJ3Ghp1lIy9sdWUFDE2sxZSPPWIWHlsHYtljHA2U5TTq0bOIQAVD7hpkIkhUIYXNWFsDzl3wxD43zqrYCCYhoZ+kM+wWCmIdCvG2CAEJFGVntqzZOwOUZg8M9l4xC5etJdjrKMppNCMBj0AJg+4aFJmqV4kitix2U8AhWBVr9yahkI/Yp5EX6yDE11YIPjkoyc66sWbvlGU1e5hgn4Nr9XsNRTmJZrS+I7Ad9XuSvWSwDzpL0R6zzsFZDev3JqEi95gMm4rY4+ViBZ9uoyRba9CEHc4yVEx4odmlwd4n7sBhG13Yp9CM1pEdbGHQXe3CXu3CbgpGBGpRv2uOHJtGVmyAEHecUWjSLZRlqxwtscNZ6cJOXdhNezeBKjblJILIMsxhGxgQ61CJAFeJWhd287fKUcfavcl2P+f4FLJ8I5F9JyP2VkUnjNgz6N+Hv+j4f2WwI6KX/xXauBv9/1XG2NsATuCPrPM9/PAEHnywU0YaHm7g+9+fNGY15bKPU6cOG8KSq1e1QXTr5txsSjz00AAOHepM0ZvNAbz//lJ7VkNEGBoCTpx4sH2T37dPYWrqujFbKZcDnDq11xCWPPZYCnNzJXiewMrKKgYHhzA4mMb993dKc4OD4/hv/23amNXoMt9hY1Z45QpDsykN9kceGcShQ52bTb3ejzNn7rX/jogwPAw8/niHfe9ehampa8YaXank47XX9hvrl48+6uHOnbLBPjycwX33dRzl+/rG8c//PGX0uy6vHjbav3pVz/ha7I1GiGPHhgz2Z5/tw9mz99rK0dbs9/HHY+tVtAdedQYUd2CXZQSZ17Ej5h4i6sfB1V2Aubqss2MQxHeiL9MpRbOwALfxAyM1m6kqenMvGU+abvUKdNhn9ISq6pDe4xj0Om1x/2m9j6rFRQrACHpzMWcXmoBXnTXsx3SJ6HXscDrPippdJ61r9gEoPppgz8Kt/w+9Z6/dVg29uReNmZxmVzH2GqT3FQxZ7J8m2MfQk4sJZ2g3vOq8MathqoQg8wZ2xsQZTv0YmFpNsI8n2DNw6293SoEAGNXRm32hMxsigluLDINbJTalRR5xduE/BR5c7HxfpEDMQ2825kpDu+BVF4yZCFNlBJmvYWds/dKpH41Kvi32fiixB33pOHsKbuMnxpYVRg30Zp/rzIba7CzGXoX0njPZm1/RaekGewo92djashqDV7trnk+V4We+jpHYGqBTfzjyohQx9v0Jdgdu4/82t9uoJnpyz8TYD0Tsos3OVAVh6kUMxeKVRONJcBlLUY/Upr3ZmCuNGoVXXTa/Z1WCn30DI7yz5ODUHgajYuKR5c8//n9RxmSM5RjTEcuMsRyAV6GFLZ95vPHGXuPffX1pvPjiONbW6rh+fRObmw2cOrXH2gP25pv74DgcN29uYWamiPHxPJ56ylQ0PvzwIB5+eAALCxVcv74F31d46619Vn7e17++D9VqgOvXN3HvXhUnTgxbFl8vvTSO4eEMbt0qYm6uimzWxeuvmx55AwMZPP/8WJu9WGzi1KkJS+zy5pv7wDnDjRtbmJ0tYWIij698xZxQHzkyhAcf7G+zB4HCN76x32B3XY6vf30vKhXNvrxcw8mTI5ZQ56tf3Y3BwQymp7cxP19FPu/itddM9uHhDJ57bhdWV2u4fn0T29tNvP76hCV2efNN/dh248YW5udL2Levx1KuHj8+hAceGMD8fBnXr28hDAnf+MZ+4z1gHoL018FkGTy4rsUG3knTJguATL8MYv3gwTRSbB7EehCmTREEOSMI3WfAwlXdliwiSL9hlVSC9JsgInD/Olg4DyUOQrmmhkq5j0GJg2DhPLh/A0SEIP2W8R6wFIL012Lsqwjdp/SmXIP9VRDrBfdb7P2QaVMEQc4uhN7TYOFyxF5GkP46koKRIP0NEElw/4Zmd+6HSqg/lfsElNgfY9ef2WRPI0i/DiaLHXbvOVOFCCBMn9J7qfwppNgdEBvQ1moG+zhC76QWBgXX9RpoKmHLxRiC9DcACqN+vwPlPADlJdWfJ6D4XrBwLmJnCFNJ9mzEvh1jf94S6oTp10AsF2MfgkyZGYjkTOgA1/Ce5lIt9ni6OEOYfhOgIGJfgHIegvJMgZT0TkLxPWDBjGaHsNl5DkH6NbBwK2JfQ+i9YIldwvQbIJYB9yeRYgtQbAdkIgORnH1aLRveBfevA6qGMP03CXaOMP0WQE1w/zp4uADpPGL5t8rUM1B8HCy4De7fBMHRbRnseQTpV8HCzYh9HYH3VYCbYpcw88ZnbGX4846/+mDHGPtbxtgigJMAfsYYeyd6fYwx9vPobTsBnGGMXQLwMYCfEdEv/1i7q6vmNJuIMDNThOcJTEzkIQQz1o1ax9JSFcWij/HxPIaHM1haqqJSMUs4rfWxnh4Pe/boXLW5ubLV1vx8CVIS9uzJI5dzMTNTtuy0SiUfKyt17NiRwfBwCltbDaytdWMvtdkZY5iZ6c5eLvvYvTuPwcEMFherRvwNoGdMd+5U0Nur2ZtNhfl5m31urgylCBMTeWQyDm7fLlq2advbDayu1toOKpubDayvm6U6pXS/p1JOxA7Mztrn036eIXbvzmNgQLMnN5o3mxJ37pTR35/CxES+/VmSBw9nAFCUBJ4Bl7NIWiMxtQVOa1BiJ3waAlfrYNJcm9UbiWcAltJtUavtxPnkIjhVtUyb9YOrBSBR5gEa4GoRxPqhnN3gqIEnNhFr9lmAVMSeAlezMFxWADC1Ca7WoJwRzU5reqOyxT4LnaQ+AYA+g/0OGBpQzm7NLu/AthWrR+wDmp2q1gZozT4DEIvY0zo+KMku18HVJpQzioAGwWk14XIPvU4jbwMsG7ErYzN8h30eQCPq9z7NntysTXVwtdBhRwVMLdlthTMA8U6/y9tI7i1kcg1cbUE5YwhoEEx1Yw/19cZykbGz0pu1EweTd8DQhHL2gFhPxJ7Yc6aqut/5cNTvJTC6Z7XFw9vQQagTAHPB5UwX9tWIfRcC6teVgUSahma/DbAClLMHDCG46sY+DwYfytkDxXrBlbmOqNkr4HIJxHdoBSuVuve7vA0wp80uuvb7CjhtWX/75x5/9cGOiN4monEiShHRTiI6Fb2+RERfi/73DBEdjf7vISL6z3+q3ffeM3+Ms7MlzM/rm3w+76G3N4Xp6W0sLXVulkSE99+/i0JBJwgUCh6EYJZd2Nmz99BsSvT2esjlPBQKHj75ZMXYPF2pBDh/fg09Pfo9PT0eisWmJRj57W8XkUrx6H0Ocjlt3xU/bt0qYnGxw97T42FycrttaA3oQeX06SUUCh7yeRc9PW7EbvbDH/6wjCCQba5CwcVHHy0bfpWlko+LFzW77isPm5tNXLpkDga//e1dpNOizZ7Natu0+DE1tY2lparR79evbxoDulKE3//+Xqzf9RP8+++bP44zZ+5BShVx6e/n7Nll8wFCFSHCy7p8x/Mg0Qum1syMLACi+Tst4OA9IORAPAvh/854Dw9vgMlVbYHF8yCnV1sxydjAQhJO8EH7fNrYmSCapxPnOw1A6f/O8yBegBN8AGMTr9yCCK+CnN4Ou1y1xSfN3+pSJy9odpaBaCbYg6smu+jRuWAydnOmUNuf8UKMXdpWZ433o/9RiNoqwAn+YDxAMLkOEVwHOT3t8zG5bDmoOM132+wKOW0e3fxtgv0yQJsJ9kvmzZkCOK2cvTZ72MWm7V0A3Ox3//fGIMzkKkRwI8beCybvdrGYa7HnoZDTogur3y8CtBVdDzkQ79F5fYbFnA+nlVXHc5FKuAnRNDPhHP9dAKLT77wAp3naZA/vQYRTsb7qA5cLYPK22VbzXV1i5nm9zspScCz28wCVDXbunzdEVKAmHP9jXdrnOd2v1IBomll8jv87LRJrs+cj9pjVWbgIEd42fqtczpsiqjZ7wg3oCxx/9cHuf9ZRLgeGXdjMTMlQUALaeSM+y6jVQssUmXOGrS3zqWVtrWE5rfi+MtSYy8umYAHQSsulJfP1YrFp7Tkrl31jFjUzU+xidWZaj1WrgeVU0p29bkj+AaDZVIYa8969qrWHL5t1cPeuOYsqlXyLvVj0DSXp3FzJiu9phd12Pq/NLgTD5qb5lL6+brP7vsnO5WIXu7AsuDQ9O7myZ8bJ11g4b6oeARDzEuGtZUAlnmqZAE/MtLjahO200jQihLhcACWzyXjW8mjkySfyLq8xudCF3TX6QWfbJa2fHNt6jGx2phowMtrkHRBPOF3wHJg0fV7jeXr6BQZOZr9rhWjS3UPo19vnL3ZlZ8pU8HLattmpASOjTc6BeNKBJm/OyEhZcU/d2ZdsdnAw2ZmR6dlg8ppx9VqmwbkNw1qtzR6z3JJztvMKz5szYQr1VoEEOyNzVqrZ7XIhUyux/70JJFfPmPc52euIVzy6srMkuw+QfS/9IseXdrDLZBzDLmx8PN+lpCcxPp43/ibpvUhEhjAEAPr6PKsc6TjMsAIbHs5aKQG+Lw2bLADWQABoO7L4loXx8ULXkl48qy6bdaxw2m7svb22FVgr0qd17NiRgUoYsDebEsPD5g8h+fCgX3ONAXBsLGf1e7OpMDbWuchzOcd6eFDKZu/p6cbOjPcR3wmmknZhDajkJm9mrj/q1xKWR2LEuLEA0C7tPB41k4MVnklK547FPw8rWCU9wDWk3iRG7JBNqmuOP8LZnX2HVdJjKjDa0n+TsJEipVmNtntsduYCsXMSH+1iF1Y3+wowpe2t12CyK7HDKukxkqDYxmItokj2u9RWY8b58l3YPZhWZ2N2qKyqgXjcbYZ3ZVdJe7IuFlgMysi904Kn5IOPBPHEpnJWsEp6mr1zD1Fil5UJB1UDiXiUk/MZ9nhJ/9EhqxzJQIZ9F/HeLjZtoc0Om11v44lZnXVjpxpUnD1hj/aXHF/awe6pp0aMm+599/VhcDDdvvFWKgFGR7OGbRXnDCdO7ESp5Lc3btfr0nLpePrpsXbcDBGhVPJx5MiQIbro7fVw//39KJX0TKdeD+G63LLTeu65XahUAoShatuTPfWUeXN74IE+9Pam2gNepRJg166cIRgRguOJJ3a02X1fol6XeP55k/3ZZ0chpWqng5fLAY4dGzSMrfv70zh0qLdtPVavS6RSAo8+uiPR1hjK5aBtJ9aN/aGHBtDb67X7vVwOMDGRx9hYp98dR/dLqRS02ZtNaWxOb7EHQYe9VPJx7NiQMciTGIJ09nfCP6kOIGvZVoWpZyLLrRCABJMlhAlXEOUeAVgBLesxpipQYl/CtsqF9B7r2DqRD5CP0DPbkt6z7f8GUtqezHsM5v68HVBib8caiep67SdhWxWmno4st+QfYT+mb+ht9jKks88UjDAP0jseY28C5GvW+Pm8Z/Vg0GJXZYTe4zBtq0ahxJ6ObZqq6bUf1wxvDVNPR/0esasywpR5Pi2QSSfYD5q2VSwF6R1LsIeQ7tMJ9uej6KEWewmhm2QfhxLjMfY6wHst0UWYallgtdgrVl9J73EAKc1OFLEf0s7+bfY0pHtU23e10uoptJxdQu85PRjE+919wpipktgNJcbMfucDOpDWaOup6HwSQBixP5dgfwKAqx+S2uwPADE1srZpO9Kxq4veK1MJu7DU8xF70GaX7gljtkdiL5QY6ZRJVQ3gg6azC2MI3ZMxq7MvfnxpB7u45yWgB7InnxxBudzE+fNraDQkTpwYscpwDzzQj8HBNK5e3cTt28X2v+NHNuvg6NEhLC1VcOnSBtJpjmPHTOUWADzxxA5wznDx4jrW1up49NEd1uxrdDSLAwd6MDVVxO3blejfphpJD2TDKJX0ml+zKXHihG2fc/jwAPr7PVy9uon5+TIefLDfCJQF9EzykUcG25FHmn3Yaku3T7hwYQ3r63U8/viwxb5rVx779hUwPb2NmZkKxsfz2LfPnNG0BuHtbc3u+wonTpiDJqCT5Ht73Tb74cMDZigrdIjtkSODWFio4MqVDeRybld25Z4AkQJvXgCTGwjdx6zZF4ndkGIPeDCFNJuFdCZAwlSSgjkI3cfB5CZ48wKIAv2DTRzSfRiK9YD7V7Qq0H3YvLkBgOiFch+JrJiuQLGC9jm02noSRGHEvmndmDX7HkhnAjy4iTSbg3T2gsRusyHmJtgVlPtkl/MdgWKFiH0B0j1iBsoCgOiDjLOjYKZJt9s6AVBTs6vt6MacZN8LKcbBgxuaXewzvUYN9o02u3S69LtzFIrlwP3LYOGi7k+RmLGLfp2IHc6D+1eh0G8NwJr9KzH2LYTuCav8SWI/FBuN2GchxX5zBgUAzEPoPgYWroH7F/H/tHfmQXJc933//F73XHsvsAtgcZ+kCJI4KEIURUqkaMWSKJGUSNqWy4ntxDkclytxlatsy/KpuOw4qUq5XLbLSZxUnFiWKIqyDgs8RJGieIgEcS0IEPdBYA8Au9hz9pjp4+WP17vbr3sWF0EsuO5vFQqzMz09n33T269fv9/7frUWgprtvhWti5HlVjdBbjPJtASchQS5DyDeyYi9JdUBI0Lg3oWEFVRld6xDtE/t2l1PMM3+jrGYS9wxQAr47h2Ify7Gbnt/GvY70DofsfcSTF1YxT9PLSRwb46qMfcTsIAwZ3fAhv1DSDgeY/9wmj13E4HUlBJyqAAAIABJREFUWqZ9ZZq3SeXbt5/i5ptnhtblssfXv36MBQtMnl1dncuBAxe4/faFCduqk4yOVunoqKetzVRjigjLls2MRI4dG+Kll3pYvLiOJUvqEBGOHBli8+aZDi8MNV/5yhEKBYelS+tpbi5w5MgQK1Y0WmvOXn65l2PHhunoqKNQ8IE8fX2TbNgwc7IcGany1FMnLPb9+wfYtKnNYv/Wt04wNuZPZ9D19o6jlLJudx45Msgrr/RelD0IQr7ylSOUSg4dHfU0N+c5dGiI1asbaWiYYX/ppW5OnhxlyZJ6CgWfIMgxMDBpXWgMDU3yzW+eoK2tZLFv3txm3ap96qnjTE7OsHd3j5HPK8sf8+DBQV577SxLlhh2rc13sWlT7EJD++Qm/h5UHdrtANWE4x8idNZZc1hO5QVUeBrtdjBcLtBQFyDhoDHWnW6IQXKT3wKnzexLiih/P2FuM7Zd2DcQqmYbZwEqOI2maPljqupbuN4baHcJ2l2CEKL8Y7Yfp/Yi9voY+0FCZ4PlOuJUfmAqDN0Ohst5Gup8JBxGuzPLMCToN+u9nPaIvYDy34pGfHG7sK8jeNPsTvCOKXqJpVOraieO96bJsnOXIAQo/4Td4ekq+cm/NwU/bgeoRpR/kNC5GWLzYU7lOVTYg3aXRuweEpZte7Kgj1zluxa74+9PsecmnkAIjE1VxB5KM8SWDKjqbpOZ5hojacFD+afsDk9XyE/8PTjN0+yOd4AgdwtxX1Jn8lmUPhc7ZipIOI52V8+w+2fJVbaj3UURew7H229Gq/HlPeNfAyFq91ac4BShaoVYWoGq7sTxOqPcuCn203aHpyfJT3wNPc3egOMfiIy64+zbUbovdsxMInoS7c5c4InfTa76TIzdxfEPRO0esWtNbuKr5rbuNPtxQtVOPNlBeTtxvH0x9ioq6LIT1PUE+Ykn0E5LjH1/ymTcndyO0hcIY2buWVJ5TF1dZavIY+/evlQkjeMoDhyYKSSYnPTp7R2zOpD6+pxlywWwb98Fq2BEKWFoqJLKs5uc9K1Cj8bGtH3XsWPDFIszXPm8wzvvjFhWZ3v29FFXZ7MrhWXNNTHhc+7cuMVeV+dy+LBdsluLfXCwYgXBnj5dploNrFFvQ0OOXbvsyf/jx21rtULB4dSp0YTVWT91dYlRlTZVmlMaG/Po6xu3Or/6epeDB232/fv7rXlCU8RSsQqDxD+FsX6aYdfSgErahQUnrZPBtJ1RTI63y75iFQECOxsvHI2y8WK3llRDqoJS+W+nbKRUeMGqMDQ2ZH4Ndttyy6nBrgJ7WYHydttzMhG7ZXUWDqcKZwx7wkbKP2iPOsQxWWsxJ3rlH0Wn5sbqTBta7O/UYE9kDXq7ErZVAlQTVmdDSDCYYne8t+zP8w8n2F1TTBEv8vAOoxN3eLSqt63OtI7YY3OcUqzBvrsGe8UUDE09FQ5EC7xjt/RUA061Fnv8+HOR8Kw1F6u8t9HJkZCUElZnIU5wJs2ezHj09iaOGYVM2eFNs1+IPD3j7E2mY7sEuwq6sa3O9qOTI38pmA5++gnfFFUl58WvQvO2s0vN69YI/0sWkNTaxjz/3jBdyb6T7621r/fa0/vq2+HiYLO1+9VuN8u738V7k/uRxM/X8vOT26XbTl/Wvq7VNu9W15Ljynkvr63Mlu+dkvu+lr/vbNtc+ji6fF2rfV2P4212zdvOziwcn/n1Nm9uSy0rCENTQDGlqVuO8UrL8XGfm2+251+2bGmbLt4w+9G0tBSsub3lyxsoleyQ13LZ44MftOeY1q9vtrgqlYDVq5usEeHWre2pakzASjMolVyWLKmz2MfGfG65xa6S2ry5zUpjDwJNa2vRmttbubKBQsEOeR0b81PFNbXY16xpsjqlrVvbLR9RrTUipmBoSnV1LosWJdk9Nm602W+7bWGKfcGCojW3Z24p5a2eX/QYYTKrzllnV83pSQLHdmMJcndaIwCzT2WyyKakGswtnPias3CM0LXnhUL3VjuTSwcmvDI2+W9uoTr2VYseT+fsOWsS7BXz+8S3yd1hl5trDbjWrU5UE6FamGAvp+YSQ3cjYq218gnVIuJpBqF7U4pd9DhBLmaHBgQp9klCZ721TZj7oMn+s9jz9pyqaonCdZPsdjGPyeuLf4c+Wi2xRuxh7gNI4kQs4ZjJBJx+Qgjc1TXY7ZicMJ9kD0GK1pyqVq1opzXNnk/k59Vidzqs6sQwtxFJLtzXEwT5mAuOKAJnlTWqQk8SJiJ+wtxWe3mFDk3QrDNT5KadNrS0Yq31C0fNvN1F2T1TZRkbXYa521NBy6Ir9r7EJXBWkA7XvXLN2zm7tWubrQ4jn3dYtKjI66+f48iRIXI5xeOPr7fidgDWrWvm6NFh9uzpZ2ioyl13LeKee+yKxtbWIo4Db7xxllOnRmlrK/EzP7PBKuAQEdasaWT37j4OHBigWg158MFVrFtnd5wrVjTQ3z/Jm2+eo6trmE2bFvOZz6y22AsFh/b2Em+8YdjzeYfHH1+XKj5Zt66ZI0cG2bOnfzp0NmkXtnBhEa01O3YY9vZ2wx4v/VfKsO/aZdg9L+Qzn7E9PQFWrmzk/PkJdu48T3f3CFu3LuHTn7YzAotFl9bWPDt2nOPo0WFKJZfHH1+fKj5Zt66ZgwcH2bt3in0pd91ls7e1lQiCkB07znLmzCiLFpX46Z+22RFFqFbjeG+aW4lhgFd6yIp9AVPkIf45nOqbBNVucvV3EBQ/ZU+OqyJaWnEqP0YFx9BSwi99IVUEEbrrUd5BHK8z8gm8lzAR6qmdRWjt41bfQIIzaLUEv+6nSFoxabUKFWP3Sw+Duzyxr1VmMXH1TYJqL7n6DxIUP2kPvVUdoTTjVF6P2OvxSz8DTqLM312PU92P8vZF7B9D5+9IfN5itK7gVt9EgtOEzjL8uscS7A5arYjYD0IIXukhSNi0aWc14nfPsDfcZezCLPZ6QmnAqbyBCo6jVQNe8Qvg2AUchv0tlPdWFNx6Pzq/OfF5HYgex6m+iQRdhM4K/LpHU+yhWo6q7jDJFyF4pc+Bm1g2Mc2+M2L/MEHxgQR7A6HUR+1+Aq0aI3a7gCN01uN4nabd9QR+/uPohF2YdpYiYRmnugMJegjdFfilR+3CGXEJ1TKc6huGXQte8fPgJpbauGtR/js41V0E1bPkGu4mKHw8wd5ISCk63k+iVRNe6Wet+WLT7uti7JP4+U+g83bhjFnOUcapvBGxrzXHcoq9I2I/DFrhFR8F176oNuz2POvVzNnN287u4MFBFi2KrUcJNU8/fRqtzUlaaxgcrHDLLa3WSGTfvgscOjTI8uUNtLQUOHdunLVrm6x5p7Exj+eeO01jY55ly0yidxDoVGfw0kvd9PdXWL26kWLR4dy5CTZuXGDNq3V1laeLLopFn2rVpbW1QFvbDHsQhDzzjFlYbNg1w8NVbrnFDqrs7Ozn6FHj59ncXODs2TT76GiV5547Q3NzgWXLzBo4rWHVKvsE/uKL3QwOVlm9upFCwbDfeusCa7R8+nSZH//4bFRc4zEx4bBwYcka4fq+YVdKWLmykSAwSwaS7Hv39nHs2DArVsywr1/fnDCjrvD88120tBRYurSectnMiSY9O53KCyg9YibfVQ4VnDN/KLE/NAlOGRcLd2lUbDCJdhZaBQJon1zlaVBu1FkGiB4lzN1sf563yzhBuCtMzEx4lsDZYBVmEAyZXDWnNToBmxiiZCWiW3kB0aMRu4sK+kxBgsV+EtfbiXaWMlzO0VgaN2vT4mudtEdu8tkYuz8L+5so/xTaXWnYg14C56Y0e/WFaETSgQpHQXKpSkS38jyix2bYw/NmhBu7gJDgOI63e4a9OE7odEB8fZyuRuwFtLsiSs8eRefsoFSnusMUGTkrzVxj0BsVxMQupIIBcpUX0c5CtLMEFY6gpWCNVmbYJ2LsfWl2/yiuvxvtLIvafcyMVuJejrpKbvIZc6HkrojWHk5Y2YaG/XVjBeasQqt6VHCW0L3FGvlI0G8y4Zw2w66H0+xa41afA12Jik2UscFzb7M6MvEP4/qdaGc5w2WXxlLZLFmw2CfJVZ6JirtWRGsPJ+2iLcCpvIYKuyP2OlTQEx2jM+cZCftwqz80F3nOYpQejEaJsQtYrXErzwFedIw6phDF3WixK++gKVzJz1S1ZgUqMb3xxllrTu7w4UEGByenzZPr63P09o5bLiRhqHnzzXM0NZl4nVxOUVfn8qMf2bZVr73Wi+MIhYLJaWtszPHWWxesxdNDQxWOHh2iqckcAMWii++H7NxpOw1M2WS5rkIpiSywzlnbvP32IMPDVYu9p2eMM2dmbjkEgdl3Y2Numr1Ucnj5ZdtL79VXz5LLqel8vMbGPPv2XWBycoZ9YGCC48dHphdrF4su1WrA7t02+yuv9NDUlMdxDHtTk7HviuvAgQHKZW+602poyNHVNWa5sZh26bPavVh0Uu3+yitnyedn2JuaTCp73H1Fgj4c/+SMvZCUgIqxcYrJrUQWX+IAClQjbsKuydhWjTG9iFc1GDsjP/Y7ag+nujvalwLJoyngVhO2VdVX0FJgKqhSO02miCB2e0b8c6ZwZpq9Dhi3872m2FVjxO6gnSbcymsJ9r3AuM3un0KCWIGUrpqsOqfJnFwkH2XQ2exu9WUTy2Kx7yaeTSZ+jykkiLe7HkvZtLmVyJ5smr0RN2Hxpbw9QGX6dp1WDTj+iYRN22SUVTfDjuRqsP/ILGaW3DS7W91J3KZN/DPGp3SqkEVKJi8vkVXnVl+LPi9iV4041ZetbUyenhdjbzRZckGs2EpPRHlvU+wFEDfF7lRfNovBp9hVE663y779GZxGBb0z7KrOFB75B2dhVzH2V2uwBwn2IxB3FtLjKH9/gt3BSRx/TuVHplAnCpU1RSw77NufwUlUeG6mkEWVILyAxKKC0DrKCEybQFyp5m1nNz7u4/sznV1391gqJaBUcujpmbmvPDHhU60m7n+LWPNzAENDVWuEA0wvqp5Sf/9EqqAin3fo77cdA8bH08EV4+OeVUna01NOsRcKjmU9Nj7uW/Zos7EPD1esDDownU18O5M/ZzMVCg59fbYjx9hYeh6xXPasi4ze3rFUwkGhoOjtnWn3sbE0u1Jp9pGRSsrGzPe1NY8n4Xm0SrhTSAEV2BcQKfukGs9JcJa0bVXeVMRNPzFmnTjNG1XKFkvpUZLrh8Cz5nckPIdOpBIgRSTFnrZPSrOfJ+k8oVXODuLUZdLWT8qwWvseSbNrDyz2szXYS3Zb1eAEEOznVNCHVbEJaOUmbKvKQLLdTVBq6vNqtLsVPBv2mgsRC6LONi7WIZJw0wFQie8invo+/VaUSbKf3mYUSLj8iBNZoMXZR0lVhekq6LjlVk/aHUXVIUGc3Tc2Ywmljpma7CAx+zgJh5EUu5syxBbKKfapkeJF2aVk2cKZ7yppqn51mredXWNjzprLWbeuidFR+49jfNxn7dqZW491dW7qxByGmtZW+wBYtKhkGScD5POK1taZP5j4+rApTUz4lnMIGPuuZFWoMaCOs7dYJ/SpfcUXcNfX51JWZ6b4JM2e7FgKBWXNoS1dWm8Vp0x9XtxaDaCpKZ9ib27OW538mjVNKfZKJWT16pkrtcbGnLX8Yoo9OZ/a1lZK2bTl84rm5tikt7M8NelNOB6558eeUs2p8tUwES2i3dW2CS4gumqcQqafaASVtNwKTOGHte+FNTrFgmVbFjor03Zh4bi1FsrsK7Hou8Zz2llpnEAsdo8wNneppSnVIZriE9sgIVnEAhgfzBi7dlan7cLCMVNME3+fJBbba23WxsXf5qxIneBEh5aNlFbNQKKD0p5lywUQSmuaXYpYVmfOGiRM2oWVCeMFS6JSFnCG3f59QmcZSYs50HaRh2ohbdNWTbFrWUDS6sywx4prnDWpTljCMmH81qO4aYs5Haa+C8Oe7BR1wqZtAWmbtqq1jeFsrcFeAuJWZzXY9ViCPW99V+9G87aze+ABey5k9eom1qxpZGSkyshIleHhKjff3EJHRyxsUoT7719KuexPbxcEmo9/3N7X3XcvoVh0GR4224yOVvnwh5dYBSoNDTnuuKN9+vXh4SqtrQW2brVPJJ/4xHIqlZCRkSrlssf4uJ9iX7euiZUrG6aZpua8Fi2aOeiVEu67z1iPTW0DpNg/8pEOCgWH4eEqo6NeVAzSYV0YNDbmU+xtbUU2bbJP4FPsw8OVWdk3bGhh+fKGWLubedL4nKRSwsc+ZqzHRka8yBwb7r/fnhO6994Ocrk4u8dHPrLENodWzQS5LUgwDMEoEowYG66E40dQ+ISprAuHTeyLnkhlk4XuB8z8WjAMwQgSDBO4t9tZYeLg5T5qrtbDEQiGAUVQSFgxFT4GuOb1cMTky+VioZhgnErc240FVjCKBMNoZ7GZy0mwi54wCQ+UET2ZZs/dinbaY+0wTOBusudoxMXPRdZj0+wuQcJ6zLCrGfZwFD//UWzbqgUE7q0R+0jEvtS2fgL8wgMR+wgOZdAV811Y7LehpS3WDiORw0jctioXWWCNGguvYBgoEBRsu7Cg+PHoQZz9Y9i2Ve0EuVtmvudwBO2sSM2z+YUHkHA8Yh8DXcFPtfsWkIXW8Rfm77AqV5E8fv7uiHvEJFFIkaCQsAsr3A+EZptwJCogus9md5cQuB+YafdwlNBZhU5cZKTZvRrsW0FaEuzbEusUC/j5u2LsIyB1BAXbJcbPPwAEsXY3Aa/WGlJ3GYG7IcY+Ejnq2BemfuHjdjXwVWrednYLF9rDYxFh1apGKpWAnp4yYZguKAFYtKiO+nqX3t5x+vsnWbq0PmXWnM87rFhhTuDG6cNh+fL0SG7FCpOb191dZnzcY+XKxpRrf0NDnkWLivT1TTAwUKW5OU9bm321bdibqFZn2JMFJQBLlpSor3c5e3acgYEKHR11qZFqPq9YtqyekZEK3d1likWXZcvS7CtXNqKU0NVVZmzMTy3lADMqbWsrROweCxYUWLDAvtpWaqrd/YuyL1481e5lhoaMg01ytGeWhtTF2J3UaBPMCEmjUGEX6HFTsp5ceKua0WqBceuQAUJaU2a2JiNsFehJ4/qBWCOj6X05S9GUUEEvKhwiVEshFTZZIFRLUeEQKuhFSylVJAGYbDYwKep60nx+ir2FUBYgwXlcGSCU2dhXR+zdEXvCDg1zNa+lhAp6UOEwoVpGasREkVB1TLOHUp8yeDbsq9BoVNgTLYdYmWZ3WglpRYKzuDKAVm1WErxhd8wJT4+bIg4kNTKfZqeICrpR4UjU7okRU032tPVU6K4yFnNhD4SVqN0TC82dhYTSggTncGXQGCQn55LEiTxCoyw6FKFKWLlBVJiUR4XdqHCUUJanbiEidcaeLLyATLHXsM0KnVUmgDfsQc/K3kYoTUhwDkcGzSgyxe6aUXU4Zo4ZcS7CnovYh2uzqzpCWRJjb0BLDWs/ZxVaexG7F/2tJtnbU6P/q9G8rcb89rdPsHHjTMXf4OAk3/3uSVpbi7S1lSiVjEPHrbcusEZkTz11HN8PaW8v0dpaYHCwwsREYJ2g9+27wK5dfbS1FWlvL+E4Jh18y5b26Vt4vh/yxBNHqavL0dZWorExz6lToyxaZK9pe/75M/T2jtHeXsJ1PfL5Il1dY1a1Yn//BP/4j6em2YtFl7ffHuS222z2J588ThBo2tpKtLQUGBioUK2GrFw5w97Z2c+ePX20tZVoayuhFBw+PMSWLW3T7J4X8rWvHaW+Pkd7e4nGxhwnT45E1mEzJ8LnnjvN+fMTEXsV1y3S0zNurf/r65vge987xYIF8XYf4vbbF1qjySefPEYYatrbDfuFC5MEQcjy5TPse/b0s2/fhYuyo6vkJ54Ap8GYHqsGlHciqpqbOak6k0+j9AVw2hgpuzTUu6YiLlatKP5ZcpPPoN2FJrVaFXC8t81artiILDfxBIj5o9ROC6L7MbeuZkamytuJ4x9Au21RArbg+EfsZG09SX7i6+A0Rp/XgOMdMyf62InJnXwa0QPgtEfsDhKcs6oVxe8mN/ncZbJLxN5s3EVErI5YeTtwgkNRVWAbgsbxjxLGy/z1RMTeFH1ePY5/zNzGjI0M3MnvmfiXaXZBgn50bmYEKP4Z3OrzUQVle8R+0IzupkaTWpOb+FrUMU6x92KqRGc6Yqf6Y1RwxGJXwXHbXFuPk5940tiFTbMfSVnMuZPfNfNoThsjZYeGepBwwBoBin8Kt/pi9D23g8rj+G8T5LbOdPzT7K7NTsGymHOqr6LC44ZpNvZwjPzkN2LsdRG7bTHnTnwbYSzGHqbs8cQ/bgp6po5RyRvLt7hNmw6N1ZkqxNi7QWyLOafyMio8FWMPUcFJ2x4vHCU/+U1wWiz2IGEx5058C2HcjJAjZdWYMZ0/P2HN73R2pm2rCgXFgQMzk68TEz4DA5OpNW7vvGMXGxw5Mkh9/cwJQ0QYG/NTdmGel5yLy1n2ZABnzoxaHZbjKM6eHbfmzDo7L6Ty7PJ5ZdlpjY15DA5WUuwnT9rsR48OWSPVqSKWgYGZOYuphPW4GhpMxWlcXV1lq8NyXUVv75g1j7d3b3+K3XVtu7DR0SpDQ5XE+jyHEyfsQomjR4esQh3DXk3YhZ1EJxwetGpIVTQ6Ybd9C1Fck+cVk/I7U6GRWiRhFzacLuCQYioVXPnH7fVKIqYgITaxr/zjNWyrGlB+p/WcyXuz2Z3QDvxV3r5UBZtOppWHQ8ZN3lprVUrZSDn+CXtuT5QpBIlZnSnvaCpH0Fid2VWwJjMtzm5GCCn2ZMwQQWQFF71ND0bFJ/b6PBWv5GPKFs5mV+GgbXXmHUoV16TYdRixx9eJ5VNp8463P93uOrAyEI3lVpK9DpUIi1XBKbtQZ4o9bnXmv50qrtFSl2APTNVjit3OeHS8A+mqR11N2IX1m07TAq1HeYfsp8KktZoyhS6xOUHHPxDF/tjstl2YhwrP2+xXqXnb2Skl1smzVHKtCkcwlXzx23yOI6lqPyB16zGXUzWsxrBO/IWCk9omDDWua39pyRy3KY7430Gp5KQKM4LAZp9aupBml8TP6YOmFnsyzy4MTQd7sX0bdmUVqJRKTqrjDEOsW5S5nEpVrpp9JdnTbSUi5HLxP+ICQjI3LkxX95HO4kuFvlIw77U20uj4LUrJzWJJldxX+vNMBxnL4pNialLffH7yhFCDPbl/qcGOTpxc3HS1Xw1WnfpdML+zxNkLl8le66SVrp5NsgtYnZb5fd8Ne7zDLaWKWEwJfnwqJPGe2T5P8ql9meMxFuUkLqlTr9ap/ddiN79zgj1ZHUlg+1IipI/HGuzkU9+hoLFua0sOdC32ZNFKuq0EZXFoSqQqavHR1iJ2xbXqpuZtZ7dhg+2gsnlzG0Ggpzsg0/GIdbswn3dYs6bJWrdVLntWIgDAtm2LrQpDzwtZvLjOqmhcssT8HO9gy2WPu+6yK65uvXUhY2Mz+5qYMPZk8ZP/li3t+L7Nnsspy8asUHBYvbrRWjpRLnts3WrfJ9+2bZFV0l+tmhDYePCsWZSet9jHx322bbMrrm67baG1tnBiIm1PtnVrO54XpNjXr5+5B18sutPzqZdij7d7tRqwbFm9NXLUzsoosDO2FklPRFldMwpzt9p2RuG4WcwaU5C/M8pxizprbdYgWZZbUmesoGI2UhKO2lZTYDLvwrgVU9VkqMVu8Wlnjam0m2LX2hSf5O+02d2NafZcooglvy3KE4uz1ycstxoMQ3ytXzia+rwgf0fC6qwSza3MnJS0u950UlMnS62N9VM+YXXm3pJgH0sXD+W22VV6OkBLgx1jpJrMYnSLvZz6noNcmt3MacUst9wN0Uk8zu4lLLeEwPmAXeEajhOk2D9Ug73FXoCvWgjVEqx1irps7OmsfW1JsQfOGmvEFLofAO3Y7ATmlu/0zpWx74qNqiQcS7GH+W0pWzitWtBuLPBXtZog5BR7st03JfZVIXDXWp1imLvFdJzT7KGpuo3fphXH5AHWWDpxpZrzzk5E/quIHBKRfSLyDyLJ2uTp7T4lIodF5JiI/Nal9pusCiwWXT73uTX09IyxZ08ffX0TPPro2tTI6pOfXDm90PrQoUG2bGmz5v7AlObfd98yjh0borOzjzDUPPKIXf0kIjz22FrGxnw6O/s4cWKYT396Vcri6847F3HTTS0cOHCBI0dGWby4lAotratzeeSR1XR3j0X5cpM8+uja1EjnU59aSV2dO83+wQ+2WzFHYDqyj360g6NHh+js7EcEHn64Nnu57LNnTx8nT47w4IMrUxZf27YtZt26ZvbvN+xLl9Zz77124UJ9fY6HHlpDV5dhHxiY5LHH1qWKXR58cBWlkkNnZz+HDg2ybVu75Z8JpmjmnnuWcPjwFLvw0EOrrW0QhVd6zCwKruxB+afwip+1K/mAIP9hQmc1qrqfkhwlVMtT4ZmoBrziZ5GgazqjzSs+niq68AsPAgVUpRNVPYyXuzvlOqHdNXi5u1HVw6hKJ+gcfuEzafbiY0g4FOXZnY7Y7VupQeEjhGolqvpWxL66BntjxH4aVdkD4YhplxT7Z0E7MfZ7rMgaw74eP3cXqnrIsFPEL346we5E7IMRexde8WGSGW1B/t7ImustSmLm9IJ8IqvOacYrfAbln4rYR/FKj6ZGoX7hYdASsR/Fy92Ldu2CCp27CT935zS7pkRQfDDB7uIVHkOC/oi927AnMtqCwsdMscs0+3rCxIUBTgte4VMo/ySqshfCcm324iMQasPuHcPL3YdO2sLlbsHPbTXs1X1o6o2lXZK9+BgS9E2zVwuPkFwfGhTuJ5R2VHUfJTlG4NxsReaAKcDxip9E+SfM9xxO4BUfIynDHsTY7zcRPTGF+dvwc5tj7E0EhZ9MsOcj9vMR+1mqxc+TXA4TFB4wyzDepea8swO+D9ymtd4EHAG+mNxARBzgL4FiyO5BAAALgklEQVRPAxuBnxWRjcnt4tq1y3b78P2Qp58+zaJFdWzd2k5ra4Ht20+n1pO99lovAwOTbNq0kJtuamHPnj7LqQRMscvLL/ewZk0zmze3E4aaF16w790DPPvsGfJ5h82b21m1qpHnnz9jjeLAzF0dOjTIxo0LuOmmRrq7x9i1y44B8jzDvnixYW9uzrN9+zsp9ldf7WVoqDLNvnPnebq67IWjAwOTvPJKL+vWNbN5cxueV5v9mWdOUygotm5tZ8WKBr7//S5rFAdw8OAAR44Mceuthv306TJ799oxQNVqwDPPnKajw7A3NuZ5+ul3Urd4X365h9FRn82b27jpphZ27Oijt9eeG+jvn+DVV8+yYYNhr1YDXnzRnu8BcCefAVUiLGwldJabn5PrtqoHTA5X7lYm9Aac4DQqEQ+DruBOPot2OggLW9GqgVxlO8n1eU71R6DHCAubCXMbyHk/Ti8ED86R835MmNtAWNgMjOFUX0p8niZXeRqt6s3nOctwJ59LXdWq6j6c4CRh/nYm9Hqc4Biquj+xr8mIfRlhYSuoErnJ7am2cqo/BCZj7K/aLitgKierPybM3WTYdRmnYjuHGPbtaNUQsXdE7W6vX1Nep8mdy9/OhF6HExxHqm8n9jWBW3mO0FkesRdxJ5+twf4CUI3Y15HzXkECe15Z/G7c6o5pdtEjOAnHFnRIrrod7TRH7ItxK8+QNB9W3m6c8EyM/TDiHU7sa5xc5XlCZyVhYQuoPG6lBnvlByC+YXfXkPN+ZLusYAp1HG+3Yc9vQumhlOuJYf+eqXKN2HOVp62Rl2HfhRP2EuY3RexvI4k5QsIyueoPCJ1V5ntWLm7l+zXYnwfRCfbEonL/HVyL/QJO9fUEe2COGWdBxN4esdvnGcfbaebt3qUkedKZS4nI54HHtdY/l3j+buAPtNafjH7+IoDW+k/i2w0PD984v0ymTJkyZXpP1NzcfMV5QTfCyC6ufwU8XeP5ZUC8dKgrei5TpkyZMmW6pGqVF11zicjzQHo1JHxJa/3taJsvYUpzvnI9mDJlypQp0z8dXZfOTmv9iYu9LiK/CHwW+Ald+75qNxCfeV4ePWfpaoa2mTJlypRp/mvOb2OKyKeA3wAe1rqGrbjRm8AGEVkjInngC8B3rhdjpkyZMmV6f2vOOzvgL4BG4PsisldE/hpARJaKyHYArbUP/CrwLHAQ+LrW+kC03XuydOF6SER+SkQOiEgoIndeZLtTIvJW1D47ryfjbLoC9hux3ReIyPdF5Gj0f+ss2wVRm+8VkTm9uLpUO4pIQUSeiF5/Q0RWX3/K2roM9l8Ukb5YW//rueBMSkT+t4icF5H9s7wuIvLn0e+1T0TuqLXdXOgy2O8XkeFYm//e9WacTSKyQkReFJG3o3PMf6yxzZW3vdb6ff0P+EnAjR7/KfCnNbZxgOPAWoyVQSew8QZgvwW4GfghcOdFtjsFtM0175Wy38Dt/l+A34oe/1atYyZ6rTzXrJfbjsCvAH8dPf4C8MRcc18B+y8CfzHXrDXYPwbcAeyf5fUHMQV1AnwYeGOuma+A/X7gH+eacxa2DuCO6HEjZkla8pi54ra/EUZ270pa6+e0nl6Y8TpmPi+pDwHHtNYntNZV4GvAI9eLcTZprQ9qrQ9fessbT5fJfkO2O4bhb6PHfwt8bg5ZLkeX047x3+kbwE9ILQ+2668b9Ri4pLTWPwIGLrLJI8D/1UavAy0iko6DmANdBvsNK611r9Z6d/R4FHM3L1l9f8Vt/77v7BKar0sXNPCciOwSkX871zBXoBu13RdrrXujx2eBxbNsVxSRnSLyuojMZYd4Oe04vU108TcMLGTudbnHwGPR7ahviEg6V+bG1I16fF+u7haRThF5WkRunWuYWopux28F3ki8dMVtf12qMd+t3s9LFy6H/TJ0r9a6W0QWYeY2D0VXbu+prhH7nOhi7PEftNZaRGYzI1gVtfta4AUReUtrffxas2biu8BXtdYVEfl3mBHqA3PMNN+1G3N8l0XkQeBbwIZLvOe6SkQagKeAX9Naj1xq+0vpfdHZ6eu0dOG90KXYL3Mf3dH/50XkHzC3ht7zzu4asN+Q7S4i50SkQ2vdG936qOlFFGv3EyLyQ8wV5lx0dpfTjlPbdImICzQDF5h7XZJdax3n/BvMnOr7QXN2fL9bxTsPrfV2EfkrEWnTWvdf7H3XSyKSw3R0X9Faf7PGJlfc9u/725gyz5cuiEi9iAn3EpF6TEFOzQqrG1A3art/B/iF6PEvAKlRqoi0iphcIBFpA+4B3k5ud510Oe0Y/50eB16Y5cLveuuS7Im5locxczTvB30H+PmoMvDDwHDs9vgNLRFZMjWnKyIfwvQFN8LFERHX/wIOaq3/2yybXXnbz3XlzTWo3DmGuXe7N/o3VZG2FNieqN45grky/9Jcc0dMn8fca64A54Bnk+yYKrbO6N+B9xP7DdzuC4EfAEeB54EF0fN3An8TPf4I8FbU7m8BvzTHzKl2BL6MucgDExz3ZPT3sANYO9ftfAXsfxId253Ai8AH5po54voq0At40bH+S8AvA78cvS4Yg/rj0TEya0X1Dcj+q7E2fx34yFwzx9jvxdQp7Iud1x98t21/QxlBZ8qUKVOmTO+F3ve3MTNlypQpU6ZLKevsMmXKlCnTvFfW2WXKlClTpnmvrLPLlClTpkzzXllnlylTpkyZ5r2yzi5TpnkqMWkZlzQGiBzwuy7y+l+LyO9eW7pMma6vss4uU6YrVK1OJIqpeWWumN5Laa1/WWv9n+aaI1Omd6Oss8uUKVOmTPNeWWeXKdM1lpjg4aeiQNKTIvIfYq/9gYg8KSJ/JyKjYkJ5bxKRL0Zhm2dE5CcT+/qOiAxEQZX/JvZaSUT+VkQGReSgiPzGbLcjxYS7/pmI9ET//mzKDi22zW+LSH80cv252PP/R0T+KHp8v4h0icivR7y9IvIvr2X7Zcr0Xijr7DJluoYSEYVx8e/ERI78BPBrIvLJ2GYPAf8PaAX2AM9i/haXYWy0/nts269h7J6WYjwv/1hEphIBfh9YjbGU+2fAP78I2pcwIZdbgM0YM/Hfib2+BGiLGH4B+B8icvMs+1qCMZpehrGh+kuZJe09U6YbRVlnlynT1elbIjI09Q/4q+j5bUC71vrLWuuq1voE8D8xBshTellr/aw2uXNPAu3Af9Zae5jObbWItES5bvcAv6m1ntRa78WkAvx8tJ+fBv5Yaz2ote4C/vwivD8HfFlrfV5r3Qf8IfAvEtv8rta6orV+CfhetP9a8qJ9eVrr7UAZk1qfKdMNq6yzy5Tp6vQ5rXXL1D/gV6LnVwFLEx3hb2MHxJ6LPZ4A+rXWQexngAbMaG5Am7TmKb3DTEjlUuwAy/jjpJZG743vZ2ns50Gt9dhFXo/rQtRRT2k84s2U6YZV1tllynRtdQY4Ge8ItdaNWusHr2JfPcCCqYinSCuZye3qxeR4TeliCd89mI44vp+e2M+tUYTUbK9nyvS+VtbZZcp0bbUDGBWR34wKSBwRuU1Etl3pjrTWZ4DXgD8RkaKIbMLMkf1dtMnXgS9G2XvLMLEts+mrwO+ISHuUz/d7sf1M6Q9FJC8iH8WEIT95pcyZMt2oyjq7TJmuoaLbkZ/FFIKcBPox82zNV7nLn8UUofQA/wD8vtb6+ei1L2OKV05icvm+gckXrKU/AnZiMsLeAnZHz03pLDAYfc5XMLlhh66SOVOmG05Znl2mTPNEIvLvgS9ore+ba5ZMmW40ZSO7TJnepxKRDhG5R0RUtEzg1zGjv0yZMiXkzjVApkyZrlp5zJq8NcAQZtnCX130HZky/RNVdhszU6ZMmTLNe2W3MTNlypQp07xX1tllypQpU6Z5r6yzy5QpU6ZM815ZZ5cpU6ZMmea9ss4uU6ZMmTLNe2WdXaZMmTJlmvf6/8Lp0J/NlEntAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# NO CODE\n",
"\n",
"test_grid['Class'] = c\n",
"test_grid['Color'] = 'darkblue'\n",
"test_grid.loc[c == 0, 'Color'] = 'gold'\n",
"\n",
"test_grid.plot.scatter('Hemoglobin', 'Glucose',\n",
" c=test_grid['Color'],\n",
" alpha=0.4, s=30)\n",
"\n",
"plt.scatter(ckd['Hemoglobin'],\n",
" ckd['Glucose'],\n",
" c=ckd['Color'],\n",
" edgecolor='k')\n",
"\n",
"plt.xlim(-2, 2)\n",
"plt.ylim(-2, 2);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The decision boundary is where the classifier switches from turning the red points blue to turning them gold."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### k-Nearest Neighbors ###\n",
"\n",
"However, the separation between the two classes won't always be quite so clean. For instance, suppose that instead of hemoglobin levels we were to look at white blood cell count. Look at what happens:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/brettmz-admin/.virtualenvs/dsfe/lib/python3.7/site-packages/pandas/plotting/_core.py:185: UserWarning: 'colors' is being deprecated. Please use 'color'instead of 'colors'\n",
" warnings.warn((\"'colors' is being deprecated. Please use 'color'\"\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ckd.plot.scatter('WBC',\n",
" 'Glucose',\n",
" colors=ckd['Color'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, non-CKD individuals are all clustered in the lower-left. Most of the patients with CKD are above or to the right of that cluster... but not all. There are some patients with CKD who are in the lower left of the above figure (as indicated by the handful of blue dots scattered among the gold cluster). What this means is that you can't tell for certain whether someone has CKD from just these two blood test measurements.\n",
"\n",
"If we are given Alice's glucose level and white blood cell count, can we predict whether she has CKD? Yes, we can make a prediction, but we shouldn't expect it to be 100% accurate. Intuitively, it seems like there's a natural strategy for predicting: plot where Alice lands in the scatter plot; if she is in the lower-left, predict that she doesn't have CKD, otherwise predict she has CKD.\n",
"\n",
"This isn't perfect -- our predictions will sometimes be wrong. (Take a minute and think it through: for which patients will it make a mistake?) As the scatterplot above indicates, sometimes people with CKD have glucose and white blood cell levels that look identical to those of someone without CKD, so any classifier is inevitably going to make the wrong prediction for them.\n",
"\n",
"Can we automate this on a computer? Well, the nearest neighbor classifier would be a reasonable choice here too. Take a minute and think it through: how will its predictions compare to those from the intuitive strategy above? When will they differ?\n",
"\n",
"Its predictions will be pretty similar to our intuitive strategy, but occasionally it will make a different prediction. In particular, if Alice's blood test results happen to put her right near one of the blue dots in the lower-left, the intuitive strategy would predict 'not CKD', whereas the nearest neighbor classifier will predict 'CKD'.\n",
"\n",
"There is a simple generalization of the nearest neighbor classifier that fixes this anomaly. It is called the *k-nearest neighbor classifier*. To predict Alice's diagnosis, rather than looking at just the one neighbor closest to her, we can look at the 3 points that are closest to her, and use the diagnosis for each of those 3 points to predict Alice's diagnosis. In particular, we'll use the majority value among those 3 diagnoses as our prediction for Alice's diagnosis. Of course, there's nothing special about the number 3: we could use 4, or 5, or more. (It's often convenient to pick an odd number, so that we don't have to deal with ties.) In general, we pick a number $k$, and our predicted diagnosis for Alice is based on the $k$ patients in the training set who are closest to Alice. Intuitively, these are the $k$ patients whose blood test results were most similar to Alice, so it seems reasonable to use their diagnoses to predict Alice's diagnosis.\n",
"\n",
"The $k$-nearest neighbor classifier will now behave just like our intuitive strategy above.\n",
"\n",
"{% data8page Nearest_Neighbors %}"
]
}
],
"metadata": {
"anaconda-cloud": {},
"jupytext": {
"metadata_filter": {
"notebook": {
"additional": "all",
"excluded": [
"language_info"
]
}
},
"text_representation": {
"extension": ".Rmd",
"format_name": "rmarkdown",
"format_version": "1.0",
"jupytext_version": "0.8.6"
}
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}