{ "cells": [ { "cell_type": "markdown", "id": "9b4ced32-7e5a-41bd-9a4e-dd3aa0512a22", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## 10 - Clustering\n", "### Finding latent groups in data" ] }, { "cell_type": "markdown", "id": "28c6543d-83ac-433e-83c4-74dad044162d", "metadata": {}, "source": [ "We continue our journey in multivariate data analysis, but this time we consider the issue from another angle. While EFA and CFA were concerned with taking a set of variables and finding a new set of *variables* - the factors - that underpinned the originals, we will consider a complimentary approach that aims to find groups of individual *observations* that exist in the data.\n", "\n", "These clustering approaches are typically not linear models, but are more algorithmic in nature. This means that they are often more descriptive in nature rather than inferential, but are nonetheless a useful tool to explore data with. Similarly to EFA, the clustering approaches we will use require us to select the number of clusters or groups of observations in order to obtain them, but with slight differences.\n", "\n", "Unlike EFA and CFA, there are *many* types of clustering algorithms. We will focus on just one here, which is the **hierarchical clustering** approach (absolutely no relation to hierarchical linear models!). While this is not a linear model, it has a clear and intuitive appeal because it builds a 'tree' of all the observations in the dataset, and arranges them in terms of how similar they are to one another. This is the *dendrogram*. While we don't need to know the details of this similarity, suffice it to say that the approach figures this out by working out the straight-line distance between observations, and those which are closer together are arranged together.\n", "\n", "Let's see how we do this. To carry it out we'll use a some new packages, namely the`scipy` submodule dedicated to hierarchical clustering and visualising the trees. We'll also rely on a metric that establishes cluster quality from a package called `sklearn` called the *silhouette coefficient*. Lets import these things along with everything else we need - notice here we also import `matplotlib.pyplot as plt`, which allows us much more flexibility in our graphs. " ] }, { "cell_type": "code", "execution_count": 1, "id": "5a80c941-557b-4317-882e-e7eeaefdabc7", "metadata": {}, "outputs": [], "source": [ "# Import all needed packages\n", "import pandas as pd # dataframes\n", "import seaborn as sns # plots\n", "import numpy as np # numpy for some functions\n", "import scipy.cluster.hierarchy as shc # for clustering\n", "from sklearn.metrics import silhouette_score # The silhouette coefficient function\n", "import matplotlib.pyplot as plt # more flexible plotting\n", "\n", "sns.set_style('whitegrid')" ] }, { "cell_type": "markdown", "id": "28474d01-88e4-4f6c-9182-ad2d8aebba0b", "metadata": {}, "source": [ "### Building a tree - the workings of hierarchical clustering\n", "To demonstrate how hierarchical clustering works, we'll first read in a dataset that can illustrate it. This `xclara` is of simulated, idealised data that has a few obvious clusters present on just two variables. Clustering can work on datasets with many columns, its just easy to plot one with two columns!\n", "\n", "First, we'll read it in and make a scatterplot:" ] }, { "cell_type": "code", "execution_count": 2, "id": "97083f43-cf4c-44cd-806f-a775baf4351f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Read in xclara dataset and plot\n", "xclara = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/cluster/xclara.csv')\n", "display(xclara.head(3))\n", "\n", "# Scatter\n", "sns.scatterplot(data=xclara, x='V1', y='V2', color='black', alpha=.5)" ] }, { "cell_type": "markdown", "id": "69c94602-442a-418f-9e91-299d482ffe93", "metadata": {}, "source": [ "Unlike most of the datasets we've seen so far, this one doesn't really *mean* anything, it just serves to nicely illustrate what clusters look like if they exist! They are pretty obvious here. Our goal is to use our hierarchical clustering approach to see if each data point can be assigned to a specific \"group\". " ] }, { "cell_type": "markdown", "id": "e035f807-b9f2-48cf-80d7-999433519584", "metadata": {}, "source": [ "#### Building a tree - the linkage array\n", "The build our hierarchical tree, we compute something called the linkage array. The technical details of this are unimportant, but the basic idea is that it describes how the algorithm moves through the dataset, figuring out how similar each datapoint is to all the others, and then joining the most similar datapoints into a cluster of their own, and repeating the process until *all* the datapoints are in a single cluster. Indeed, how the algorithm decides to group datapoints is itself something we need to decide on. We'll stick to something called 'Wards method' here, which for our purposes simply means a cluster will be formed when the variance of a set of points that *might* be a cluster is as low as possible. Despite the technical aside, actually computing this is very simple, like so:" ] }, { "cell_type": "code", "execution_count": 3, "id": "1c97f1bb-4af5-4d99-b251-4f10e8a03d3f", "metadata": {}, "outputs": [], "source": [ "# Compute the linkage array\n", "tree = shc.linkage(xclara[['V1', 'V2']], method='ward')" ] }, { "cell_type": "markdown", "id": "dd2f82cb-b380-44d1-ac50-e2b200bb2d53", "metadata": {}, "source": [ "We simply pass the data we want to cluster into it, and set the method to 'ward'." ] }, { "cell_type": "markdown", "id": "8e624043-3e90-47a2-ae76-e7fbdb0e6f43", "metadata": {}, "source": [ "### Building a tree - the dendrogram\n", "After obtaining the linkage array, we can now visualise it. This will reveal where the technique gets its name.\n", "\n", "To visualise the actual clustering tree, we use the the `.dendrogram` plotting function. With large datasets like this one, it can be hard to see, so we will ask `matplotlib` to make the figure larger:" ] }, { "cell_type": "code", "execution_count": 4, "id": "67470747-9eff-470a-b4fb-8ba12378ddd8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot \n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5)) # Makes a larger plot\n", "\n", "# Plot the tree\n", "dendrogram = shc.dendrogram(tree, ax=ax, no_labels=True) # Plots the dendrogram" ] }, { "cell_type": "markdown", "id": "2816a766-b272-46ff-90bc-ba270b410c3d", "metadata": {}, "source": [ "What are we looking at here? The very bottom of the dendrogram shows the individual datapoints. From the perspective of the algorithm, these individual datapoints are actually just groups with a single observation in them. As you move up the tree, those individuals cluster together with their most similar individuals, forming new groups. This process continues up the three until there is a single cluster that encompasses *everyone*. To press the tree analogy, this is the root, and the invididuals at the bottom are the leaves.\n", "\n", "What is interesting here is the appearance of a clear set of 'branches' in the centre of the plot, with all the subsequent observations grouping together into them quite neatly (as you'd expect for a dataset designed to illustrate clustering!). The dendrogram offers a clear visualisation of the structure of similarity amongst datapoints. " ] }, { "cell_type": "markdown", "id": "f8ae5854-4a1d-4a35-beb5-33862f37a755", "metadata": {}, "source": [ "### Cutting a tree - getting clusters from trees\n", "While a dendrogram is a very nice visual description of the clustering process any patterns in that process, we still do not have what we came for - groups! The next step is to decide how many groups we want to extract from the tree, and we can do that by literally cutting the tree across the Y-axis. All values that fall below the Y-axis cut fall into the cluster that they are connected to directly above the Y-axis cut. \n", "\n", "For example, let's visually cut the dendrogram at a Y-axis position of 2000. We can add a line to demonstrate, and also tell the `dendrogram` function to colour things in separately for observations below that point." ] }, { "cell_type": "code", "execution_count": 5, "id": "97cdfc3f-6834-4eab-842d-5fae84a6cae9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot \n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5)) # Makes a larger plot\n", "ax.axhline(2000, color='black', linestyle='dashed') # Adds a visual cut\n", "\n", "# Plot the tree, colouring below 2000\n", "dendrogram = shc.dendrogram(tree, ax=ax, no_labels=True, color_threshold=2000) # Plots the dendrogram" ] }, { "cell_type": "markdown", "id": "5d478517-16e7-4ddf-8768-a1180fb49a0c", "metadata": {}, "source": [ "This clearly gives us *two* clusters, because those observations falling below that point are subsumed by two 'branches'. Equivalently, if we were to cut at 2,600:" ] }, { "cell_type": "code", "execution_count": 6, "id": "f9a21236-a63e-4655-a18a-52c915e49055", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot \n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5)) # Makes a larger plot\n", "ax.axhline(2600, color='black', linestyle='dashed') # Adds a visual cut\n", "\n", "# Plot the tree, colouring below 2000\n", "dendrogram = shc.dendrogram(tree, ax=ax, no_labels=True, color_threshold=2600) # Plots the dendrogram" ] }, { "cell_type": "markdown", "id": "b1a56274-6382-4a07-b15a-6db39755347b", "metadata": {}, "source": [ "Everything is a uniform colour, because everything falls below that point. Similarly then, if we cut at 300:" ] }, { "cell_type": "code", "execution_count": 7, "id": "797c0bab-b045-46b8-963f-8849b8eedbda", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot \n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5)) # Makes a larger plot\n", "ax.axhline(300, color='black', linestyle='dashed') # Adds a visual cut\n", "\n", "# Plot the tree, colouring below 2000\n", "dendrogram = shc.dendrogram(tree, ax=ax, no_labels=True, color_threshold=300) # Plots the dendrogram" ] }, { "cell_type": "markdown", "id": "90458cf1-9469-4e2a-b28f-391a138e031e", "metadata": {}, "source": [ "A multitude of clusters are obtained as the cut is above many branches leading to separate clusters.\n", "\n", "With the visual intuition behind our chops, lets now actually make a cut and obtain the clusters. We do this using the `cut_tree` function, and tell it the height at which we cut the three. We'll use a height of 1500 as this looks like it can represent three clusters well. We cut the tree which will give each observation a group label (e.g. group 0, 1, 2) and add it back to the original dataframe, `xclara`, alongside the data:" ] }, { "cell_type": "code", "execution_count": 8, "id": "35377977-685f-4a18-a60e-1394de295194", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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rownamesV1V2cluster
012.072345-3.2416930
1217.93671015.7848100
231.0835767.3191760
3411.12067014.4067800
4523.7115502.5577290
\n", "
" ], "text/plain": [ " rownames V1 V2 cluster\n", "0 1 2.072345 -3.241693 0\n", "1 2 17.936710 15.784810 0\n", "2 3 1.083576 7.319176 0\n", "3 4 11.120670 14.406780 0\n", "4 5 23.711550 2.557729 0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Cutting the tree\n", "labels = shc.cut_tree(tree, height=1500)\n", "\n", "# add to dataframe with the name 'cluster'\n", "xclara['cluster'] = labels\n", "\n", "# Show\n", "xclara.head()" ] }, { "cell_type": "markdown", "id": "9ececfdc-adeb-4839-8945-f999088bc247", "metadata": {}, "source": [ "And now we can visualise our results, colouring each point by its assigned group:" ] }, { "cell_type": "code", "execution_count": 9, "id": "36002a03-4088-4ad9-87ba-5e460da98fd0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xyDKypiOr759w4JF8JVeuXOHzn/88169fxzRN/sJf+Av87M/+LLqu8+KLL/JLv/RL3Lp1i3K5zE//9E/zQz/0Qw/7kFNSvqNI4gR34hDaHrKmYOYzMyXcKAgZtweMGj1CL8AsZtAzJkmSoJkamXLhgSJz3sSlu31XkC9Bkl4NTOI4xhs7s+fKqoJZyGD37j9iXVmrv265p7hcZfurrWNBzV10y6C/16K0Un9dhV9v7DA47OD0J6iGSq5eorfbIo5i3OGE/l4bb+wgyzJmIcOw0aUwX8EbO/R2jiiuVGlc3T4W1IAohx1e2cLIWWS/abT83SIKI8bNPoP9Nr7jk6nkKC5WH9rxpLw9RL5HMOwTh+FsmayqaIUSiv7O2HN0Oh1+4Rd+ga9+9asoisL3fu/38nM/93Oo71Aw9cgFNnEc81f/6l/lp37qp/gX/+Jf0Gw2+bEf+zHK5TL/+X/+n/NTP/VT/MzP/Aw/8iM/wnPPPcfnPvc5zp07xxNPPPGwDz0l5TsCpz+mt9disNuit9ckiRIKS1WWnzhFfqlM+8Y+nakFgj9xGR31UDSVxSdO4vRHmIXstEn4XpXewPGIfPGFm8QJesE8NhoeuP7ssYqmUliu4o5stNZrFIUlqKzNk198fdfrTDlHHET3jJ5rlkG2UsAdOfi2h1W8/9fk6KjLzT98kf5r1IyztQLl1Tmc/phxs48/dknihCiOmHRHJElC7dQy3tgh8ALs7hi7Pbzv9pMoZtzuv24gEXoBk86ASXsIkkS2ViRby6Nq3950VhxFNK/v0rlzOFvmDsb0d5osf/A0xaWH63ie8taIw/CeoOa1y6VS9R3J3Pz1v/7XmZ+f54//+I9pt9v89E//NL/+67/+QBuGb5dHLrAZDAa0Wi3iOJ592ciyjGVZ/N7v/R6lUokf/dEfBeBjH/sYn/3sZ/nN3/zNNx3YRG9ArfTt5u4+H8a+H3XSc/NgHqVz49surdv7NF7epnVzj3gqetfdadLdanDuu5+iPb0ZRn7IsNElDiOiIKRz55Dicg2nP2b/pTusf/g8snZcX0aSJZCYlZgC16N6apH2zX0AZEUmSRISEkqLFVo394nCkOrqPKZpkSllyc+Xsco5JFl+3XOWAMWlKnrWJIljIi/AczxUXUVWlOljkvtuI3B8Nr/8Cv3d1rHl7sDmaLKLkbdIAEmRIHo1aIrDiCSOSUhQVIU4ionj+wsHAnhj94GvIXB8Di5vMnnN2Hxn85DCYoWFxzdQDe0tXzuT9pD2nQP4pkpfFEY0rm5jlrLveWuHR+lz9UaIokhc+9O/t0Ic+PcENbN10/KUpCiz7b8d7vXb29t89atf5Y/+6I8wTZOVlRV++qd/mr//9/8+f+Wv/JV7Hn/39UVRdM9780bfq0cusCmXy/zYj/0Yv/Irv8Lf+3t/jyiK+PSnP82P/diP8T//z/8zZ8+ePfb406dP81u/9Vtvej+XL19+uw75PbXvR5303DyYh31uJEnCChQYh+y9fJskAQlmN79Jb8T+5TuM7TFRFKNGEuPuECQRsNhbNlo1Q6/ZRj5qESkxg3afTLWAVrQIpQhT1tFKGfrNDuPukDiOyZULlM8t0d9vI2c1HAJqy3NsXrmJO7Znx6eoYrKqKHvYe87rvhZDN0i6Lv1bDXpTd+9MpUDt9BLdozZhEFJemePW9h2C4F5Lh4KS4fDmLt7km/YjSRTKRZDAsW2QwA/82TmqLixztLmPG3hUNxZoDzo0W60H2kJIVZP2iy/ec4ORZRltFHN4bfue5zQaDSahi2u8+uPwzVw7siyjDEKODhsPflDFYBy/P8QIH/bn6s2gqiqO47xuMPx6SIF/3+t5hucd61tznNf/HL0Rrly5QrFYJJ/PY9vi87q8vMzBwQFHR0fk88clEjzPIwgCrl279pb3+cgFNnEcY5omv/ALv8AP/uAPsr29zX/9X//XfOELX2AymWBZ1rHHm6Y5O1lvhkuXLqEoD1YjfSeIoojLly8/lH0/6qTn5sE8Sufm6NoOh7c30VSNOIqJghCmN08pBqczIlOwCAIfb+KQ+NHsS1izDDKmhStpOP0xkhdjSTrSMMAys0RhgjcaEbo+OTND5UwVuzdGliUkSeLxTz9NYbGCJElsffkqpVwBcgXiOKbZbFKtVJFlmXq2TPHcGfyR+FLWs6bwg/ICIj9A0TUGe22OBjvkS0XwIgLHBz9mstflxJNn8ccOS0+ceuBkUufOIaZhoEn3vh+qpmIVsuiqjqIpqIpC4PiUlmuYlolqaixf2KB+ZgVFUzE9+ZgY4F0UTWX9sTPHRsjvEnohm3/yMgsLC/c9Ps2DMx+6RCIlb+naaVzZQlp48A1wfm6e0wtvzFX9UeVR+ly9EVzXZXt7G8uyMM235iQfuRK4r2NRYhgopkWSJDiOg2VZ33bzehiGZDIZMplXr+NyWVw7SZIcWw7ToF3TOH369D2v8+579q145AKb3//93+ff//t/z+/+7u8CcObMGT73uc/xy7/8y3z2s59lNDreKOi6Ltnsmx+LVBTloV3MD3PfjzrpuXkwj8K5UXVNlInjZNYLM83b4E1casUswcTFHdnIqkzoB7NfgKqu4fTGBLY3NZ9UMfMZjEKGwX6bxpVt0WiryMiqQvXEAvMX1pBkmdJKnWy1gKzIjNsDAsebfeHebRCWZRlFVXAHE0aHXezeiCQBI2uQq5eYdMR4tjTdvjGdaspWC4Sej2oauIMxg7025dU6SRQjS/JMvfi1GBkT1dCJglczLUkcEzg+oR9SO7XE0qUTeCMbxdDIlPL4tovdG7H2zDnK6/MoU1uG+QvrJHHCuNmfZVj0jMHC4xtky/cX/AtjnySOH3jTiYMIiWRWUnuz106mUqC33bzvOllVMPPWQ78W3y4ehc/VG0FRFCRJmv29Fe5OP92vHCWrKrKmH9v2t7Ovu2QyGRzHObYd1xXZvlwud8/27+7z23lfHrnA5vDwEN/3jy1TVRVN0zh79ix/8id/cmzdrVu3OHPmzLt5iCkp37GY+QyllRoHL925Z50kQbaSozd2iMMIkgRZVWYBUO30Eu07h4RewNzZZTRTZ3jYJfR8tp69ijuYIKsKiqagZ0waV3cw8hb1c6vkasVZgPF6X7RGIcP+C7fJ1UtolkESx7TvHLL/0h1WnzxDHMUEY5febpOFx9aJwojudoPScp3NP71CHMUUFirIisyo0WP+whqltTlCx5/5SEmSRKaap7Rco3l9d9aGEjg+geuTrxfJ1otsfullkKRZAKPqGouXTlBam5stAzCyJqtPncF+TdBnlXPo1oMnVFRTR8+aOP79BQqNQhZF04iTt1ayyFULmKUsbn9yz7rKxjxmIdXYeS9yd/rpQVNR70Tj8JkzZ+j3+7TbbWq1GgC3b99mYWHhnjLU28UjJ335yU9+klarxT/6R/+IKIrY3d3l137t1/jsZz/Ln//zf552u82v//qvEwQBzz77LL/927/ND/zADzzsw05Jed/jjR28sYtZyFI9sYBm6ciq+AqRZAmrlCNXL1FarZOfL+ONbHJzJbK1AstPnsbuj3EHE3K1IuW1efyxg+d600zKq7X8OIyJ/BBJkmi8skNgezOxvdAL0HPWfcszqqEx6QwpLFZRNJXhYYfBQQezmCM/V6a320LPGkiyCDaa13aIw4j8XJnGK9tIsoxm6nhDG3/ikiQJu1+/yeHlO9z50mXufOll9p6/hd0fo5kGGx97jNrpZWRFJg4jQs8nP19i/SMXcEcOy0+eprRcQ9ZVNMtg+QMnWXxs45hg4F1kRZmelznR0Pw6QQ2IfqLqxsLdZNkxJFmisj5330zTG0WzDFY+eJricm1m+KlZBvPn16idXnrL2015+Ci6gV6qohfL6IWi+G+p+o6Nem9sbPDUU0/x+c9/nvF4zO7uLv/wH/5DfvAHf/Ad2R88ghmb06dP87/9b/8b/+Af/AP+yT/5J+Tzeb73e7+Xz33uc+i6zj/7Z/+MX/7lX+YLX/gClUqF/+F/+B/46Ec/+rAPOyXlfY3dG7H7jZsEtoekyiw8to5ZzDFu9onjiPxcidLqHMgyw8MO2VqRxcIpZEVGzxiEbiDKKxfW8B0Pdzxh0hyimjqT/kTYDkjiDyD0A/SsSegFyJLE4KDNuDkgCgLMQpbico0oaIjemCmKriEpMr3NBs5Q9N2Fjo9nuxQWqxSXxCiramjoOYvu9hHFVWFxoGoqnhfgewFmPjMztRwctMmUc0RhhCTFDPbb2L0R68+cI1stcOEvPM3wqIfdHhF4PoqmMukOiaY2DHfVirN1Ecy9UdyhTRSEBK6PrMiohoZZzB7T5SksVlnwQ9q39me2D3dF//Jz337/i5nPsPLkabyRQxRGaJb+LQOulPcGsqq+q4J8X/jCF/jbf/tv8+lPfxpZlvm+7/s+/tpf+2vv2P4eucAG4OMf/zgf//jH77vu0qVL/B//x//xLh9RSsp3Fr7jEQUhqqGhqApH10TmBKZj3IMuiqowd2GVXKVAFIYEtseo0WX+wjqD/Tb93daxaR5Jklj+4Gn613ZZefosA7+DN3HJ1gpIM4VgEdncfV62midwfbo7zZmKcOD4jFt9aqeWCVyPcXtAtlKgdmqJxuXNWVDzms0xPOxQnDYeg+hhIUnQDA0JZs27sqrgDicEjkt+oYI3dLB7Iya9MVYhg5G18Ccuna0jSit1jKxJZW0eI2ux+eUr94xHh15A6AXk5kpv7LxPXFq39vFtj+5Wg3Gzj56zyNaKlJZrzJ9fnVlCyIpM7eQihfky7khMYJmF7NsafEiSdN/sWErKm6FWq/GFL3zhXdvfIxnYpKSkvHGiMCLyAmRNRZLA7o5E864iY5VyWMXcGy5L+I5Hd7NBf68lfqUbOvmFCqErMgJxGDFuDfBtF0mSGL90m9rpZZIkwSoKDZnFx9YwcxbeyMa3RZOvrCnUTy8RRxHltXmsQpZstUDr5j5zZ5bJVArY3eEsMFBUBc3SqZ9ZoXX7AH9ko+gaRs4SKsZxQn+vxYmPP87c+VWiWzfJVPJ4k+MTkrKqICE26w4mFKaifaqhkZ8vk50r0ts6QjE1pITZeUrihMFeGyNvoegq/tghmDhkKgVC18fpj5m0B0gSVE8ukV+skCnnsbv3UUGWJPJvILAJg5CDlzcJHJ/uZoNJVwj3TdoDQtcniSLiKGL1qbPHenT0rHlf24eUlO9U0sAmJeU9ShxFDA86dLaP8CcumVIOZ+Tgj+xZX4SkyNRPL1E7tfy6vkkgbqzN67sM9jsk0xFt33Y5vHxH3OANjSgIMUtZrHIO3/aQNWEVkKkUyFUL1M+uiCyPaSBpCt1NUS4yixaqriPrKrVTSxSXqmSreZIoxnc9Tv/ZS+y/cBu7OyKJY3JzZdFrkjEYH/VEjcrxcYcTcrUSVjlH4Hi4ownZWhHX80jiGM0y0Ux9plAsK8qsiVjWFDGeDii6yvoz53FHE7yxy9yZFdq3DwCh+CsbCs5gwvyFNdxpBigKIno7TTKVPLokgyQE9O4+r35mmaOrO7PHizdAYu7sMpk3YENgdwa07xxg5rO0bx8gyRKSLPp33OEESZbwxg6VjXkK86+vqpyS8p1MGtikpLxH6Ww2OLq6AwjNk3F7wNG1XYycRX6hjCzLJFFM8/oeRj5DcfH+MvihHzBpDWjfOaS/3yZXLaCaOs5gIiabNIX+XovVp87S323S32uTxAm5epHSSh2zkCGwPYZBl9qZJZIkoXNL2CokcUKmlKW/32bcGmJkDZAkrEKWxQ+cYPnJ04yOOjgDm5UPnSGJE1Rdw6rksNtDRs3+q403CMmccWeAltFRDf1Y6Uc1NbK1AlEY4Y8dUZ5JhM2BoinTcXGF3FyJ8uocZinLzlev4Q7GlDcWWPnQGXpbDbyJi6zILD6+QWmlzu43bs7O092AqbBYIfIjrGKW3l6L9u0DSqtz5Oui18gdjFEMjXy9TKaaf13PKhAZot5um1Gjh4RMHEWEdkCSJBhZE5CEB1drwGC/c9/Axnc8xs0+dneIpCjk50r3ta1ISXm/kwY2KSnvQdyRTfvWwezfsqbQurVPMjWKtOwseu7V8sRgt3XfwCbwAhqvbDHYazPpDJl0hgz225iFLAsX1rB7I1Rdo7I+z97zt+htHxFPdWkGBx2c/pjzn3kaf+KCLCaaXHdCb0dooBh5i1Gzh90dIasSvd3mtE/FIfADFi9ukJ+vUT+bgTjByAl9mN5uk1ZniFW+98acxAmBI5qIX+uwLStiUmjSGaIaOpYiCz0MXUXPmKw+fQ6rmBXlqWmwVD+7CgmMW318x2fh8Q2MnIln+9idAc5rzCnvjq3n50souoqSwO43bs5sJbyRTRyEuKMJa8+cx8iaBK6H058gKxJmPvvAkqDdH+ONHJI4QdGE1cJd/R/f9jByrwqleWMXdzg5NnLtDm0Or2wRh6JcpeoafT9g0h+RMaz77jMl5f1KGtikpLyH8B1vlo1QTQ1/4jLpDMhWi4yOepAkqKaOb7vHAhtvIswYv/nGOj7qMZiaOB4T0BpOGBx2sMo5kigmnGYqVEPHdzwkCaxiDrOYpX3rUNzspxNHo/5kdrMXY9ddVF1jcNgRNgyqjKyq9LaPsIpZ9p+/xfpHL1A7tSyyMIhyEABxQnGxwuCwe+y4E4SZpJ41iaIIyzSxu0MCP6S0Uufo2g6jZg8SyM9XWLy4SLZSOPb6A9cj9gNat/Zn5aNJe0DkBWTrJebOr6JqKrIsM2r10UydwlKV0modf+zQ3Tqavc7XCpn5E49Jd0B3q0H79gFxGKOaGrlakfrZFTL3yaK4gzGKpqDo4itZ1dVjZqDSNEgz8xYQ40/cY4FNd6eJ3R3S22kSegFOfyKMRy9tYC0UheKy9eiL0KWkvB2kgU1KynsAXdPobjbobDYIXR9vZBO4Prl6icALZuPR7lA07Ab+cTl8s5C5b7agf/CqM7Vm6bNGW4DhgRjbjiUJuzcmWymgZwy8sUMcxXgjh0l7QBxF1M8skZ8vo2iqMH5E9LEkU5ViYf4oshGSJDFsiEDFnzh4E5eDF+8QOj5LHzyJqolxbCTRU1JcqWOV8vT2mqLHJ59h48PnqWyI8WmnPybeG3PlK8/iTzzMYpby+hy108vEQYg/cTi6uoNVzFJYqBC4Hr3tJpPOgNatQ5I4QbN0MTKdgJY1iYMQWZEYt/ooukrtxCL+xEHPWkxaA4ycNWvuBTFlpeoaqqmRKRdoXdvjzp++TBxEaJZBfrFCFIS4I5v1D58/lmkCEbx4E4fFx9Y5urHH4hMn2f3aDaHnI0vkagWQJObPr+GOHaTXlLbckcO42aN9+4DQC7B7QrQv9AO2v3qNlafP0DQMli6d/JYlsZSU9wNpYJOS8h5Ac6GxtT3LCohyTYveboulJ07S32tR3Vhg/64icCIsDxRdRZIkSsv1+243dHziKEJWFFRTx5pO9oR+gDeycfojAscX49EkaJbJpD1k3OrPSlJJIkoh1VNCuE3PmljlPJNWH9XQUA1t1oysZ0yc/qtquYqhi+xMkjBsdCl16hQWKmTKOQoLFYaHnZki8fy5VQDMYpbKyUVkRcabuNz6wxfZuXyLbCaLM8009XaOWLx0As3QaF7fI0lE787qh8/R3z5ieNQjVy/hDEZEfoRqaGTKefSsiaIpJIk4N1Yph2+7KLrK4smT2N0R3l5LGHtKEkkiXLoz1QKSImHkLfoHbQ5euE3oiYyLN3Hxbx+ShBGyLDNu9jGylhgj7w6JfDFWH7g+kiSxdPEEdm/IyU9eFMrBUUK2XkRCwhvZaKZ+zMMqCgI6mw1kRcHp9469v0kUM2r0MHIWTm9M9g00MaekvNdJA5uUlEec0A/obB5SsF6VH1d0FbOQwRs7BLaHbhkkwPz5VSatAXEYEQUhetakfnblHh0Vpz9m1OwRxzGDgw6SIqObBoou5PwnrQFGrSAakecqBI5L8/qeKP2EEWZpOkKeQHltjjiM6G42kBWZ3a/foLt1hNMbU/AqxEGIpCjIioyiqaJ3RJJQTZ0kjgm9gDhOiIIQpz+eWhooLDy+jmZo9PfbREGIb3sUl6rUTy/P1Ht7241ZP08SJ6IkpEgomoo3clANFUmRibyAUbPHqNHBGdrk58q4owmjo/6sl0VRFepnltFMUSoyClmWnzhJHEYoUz2fwnyZbLXApDuktFyb9b+ohiYyZn0bb+QIz6vXjGQnScKo2ccq5xm3h8iqzOHL268GfFkDRZbxhvY0INXxRjZ2b0R5bU6I9U2E3cLChTVCL6S322TSGaFZ+mw732QCDojypSIreCM7DWxSviNIA5uUlEec0PFxRs6xwAaEymyuVsTuCgXfcavP2ofOsHjpBE5vTGmlRmGxek/ZY9IZcPDSJp3NQ7K1It7QQVIk7M4Iq5TDG9uY5SxrT53FHU+wu0OsYpZMOcew0UMzdRFoTFzMfIby+jyh6zFuDQhcn6OrO2imTmm1TugHLH3gFN2tI0AEHkgSqq6ycH6Vo2u7aJaO0x/jjWzKq3PEUSwUiy2DxUsnKG/Mz7JPr30toSvKLsWlGvmFsshONPvk62Um3SGDvRaqoVE7tcSo2aN+apnW9X16u0e4A5vCcp3VD53h8Mo2geMRhRGDw840a6OSqxVRDQ2MV92QVVOnvDYnrA8Wq6J5OBRGmLKq4gx6SJIIkr45xrgr1heHEa0b+7NgBJiV0O4+LgojrFKOubMrICGO92RlpsOz/ZWrswkts5AlcDziKD426g5Tgb18Rjisf5tmhikp7xXSwCYl5RFHUpRjgmwAURAyaQ+ZdIfUTi2SrZdwemO2n7tO/ewKVjFHZWMRVT/+EY/CiL3nb7P/4m0AJu0h5fU5+vttFFUhdH00UydXLdLbaZJfqKDVTOzOkNqZZQqLFY6uidJOZWMe1dC586WXydWK1E4t0N1qICsqgetzcHkLSDjQVOYvrLL0gdPIikxxpU/o+bRuHWDkLLSMQRSEQr3Y87n9x5cpLlUpr9bRLOOewAzAHTscvnSHneeuMzzsEvgBmVKW1afOcedPXsbtT1BMlUw1z/Coz9pTp9l69ire2MGYZp162w3cUZ76mSUOXtoExFRX4PhkKgXyc8XXfV/y82XWnjlHf7clJrF0FSMrpsDyi1WGh53j7+O0wdjIiUbne17T0EbRVVY+JEx9/bHD8LCHrClUNubJVgqopsb2V64dC15826V2epm9r99Ezxiv0fCR0SyD7GKZyA+Pla9SvrMJHA+7NyJwAzRTlGG195FdRhrYpKQ84uhZg+JiBbxXl/kTF0hmX0qdWwczG4LuVoOL3/uxe4IagHGzx8FLd8SUkyQyBc5wIlR4KwUKC2Um3RE7z10XgncZg7VnzpOt5PEnLr4ToFoamqUzOurjDifEYYQ3VfUN3QDV1Nh/fnu2z8gPOby8xbg54Mn/73eRrRa4/ccvYRUyJNPXksQJ2XqBrWevEkw8istVyhsLlFdqSIpMppwnUxF6MEmS0Lq+y6QzxCxmiYIQb+ygmQaNlzdZe+os7Vv7lFbnSJIEWRVBYLZawOmNCRwfb+Rg5C28oQ0LVWqnF+ntNDGyJqXVGssfPI2eFWPSURBi90aiN0iSxLGUczPjymy1ICaYJDi6uk3r9gGVjXncwRjffvVN0zIm9TPLJBIie3KfulHkh4SuT+f2odDhmTJqdDFLWeqnV+5RN47DCLOQZe7cKsNGh2wlTxRGKLrG/PkVBqMRpz54PnXkTgGEDtTBi3em3yECPWuy9IGT5KqvH8x/u3S7XX7kR36EX/qlX+IjH/nIO7afNLBJSXnEkSSJ7FIFqeXOvowC1wdJYvHiCVRDRc8YohRh6Ri5DMp9HKTDIKS328Id2oR+gKzIwmRRlhgf9ehuNlh9+iyTzpDQC5AUmSROOLq6zcJj6+TmSoxbA+y2WB84HnGcYBazWIUMoR+QX6yw+7Ub974IWSI/V2bSGlBcqbP8xCm620eEnk+SgGZqDBs9nO6IxSdOEro+m1+6zF7GpLhUpbRco7w2R+XEAt7QZnjUI44i/InLuNkncP1pwGJTP7tCcbnK0bUdSBIUXePw5U2qJ5cor8/h9MZAQuB4aJZBd6vB0hMnKC3XkRWF/EKVwX4bf+xg5DM0r+8dy75IkkR5Y565c2IcXJIkUbICyuvzzF9YY3zU49SnnsAdTrC7IxRDZfHxDcpr83S2GsiyjGqoJIh+J1mRkRUFWVXw7ooLvgbV0JCQGB500DIGiqYKP6+p+aU7nJCtFaieWkSWJZzBBEmWkWUZY7lE5cTCsXH+lO9MAse7J6gB8ePi4MU7nPjYY+9Y5ubrX/86P//zP8/Ozs47sv3XkgY2KSnvAca+zWMfvoDTHjFu99EsYybk5k9cisu1Y4+XlVdLV2EQEtoe486QwHbRswahL0abZVkiiRNCPySJhcptd/Nwug0xGmz3xjPfKLs3QrMMvLGLahnUTy8z6Q4J3YDRYYfFx09gFTPYnSGyqlBenyNXK4n+nKMu289dp7DTJI5i5s6tiPHk7og7f/IySZxQ3Vhg3OzTuSOOIXB8jKzJ7lFvWk7JiRHyKMYdikZdzTJAkZElCcXQ8IY2nuMRBxFqRqd2cok4jgCJwnwJRdfwbRenL2wKFENDVmSGh12SKMYZTER/jqlTO7WI0xujmvrsfCZJQnezgVXI3OPYnSnlWf7AaXafu8rOc9dQdI3qyQVytSJmKcfNP3yB8VGfYaOLP3Ex8hYLFzcY7Hcwi1kWHltn0hoc26aWMQk9n8Y3bqIaKoETICsS9TMraJZB4IiskD8RLuZREIisUBTj+wG9RoP5pQW0euntuBRT3sPYvdE9Qc1d/ImL3RtRfAcCm3/9r/81X/jCF/jv/rv/jr/xN/7G2779byYNbFJSHjHiKBY+TLK4qd1FtwysjQyVjXnGrT5bX7l6j5s0COE8q5gljmIG+206m4c4I5txo0f97ApmKYc3cojDCNXUhWt3kmAULFTLwJt4qIYoN8VhhKIpqLpG6AdYpRyjwy65uSL108scvrxJHImDCLyQra9cJT9XIo4TspU87duHWMUs1/9/30ACMpUCVj7DpDukt9tk/cPnZ70g/tTp+9YfvfRqdiFJROMr0Ly1R3ljnsJiBUmWpmPgMnEcE8cRmmVh6SqJJDFu9skvlsnVSuy/eJskjoVbuWmw+Pg69bOrdG4fIMky8+dW8CaeMPKs5OlsHkICmZzF3jduoZoa5fX5ezRgujstiiv1Y8vjKKK7eUiSwNoz5wlsl8GBcDpXrmxRPbnEpDPEyJkEjsekPaRxeZP62VVUQyVTzjHpvBrYSLKEJDGzzohkiUwpy6Q7ovHKNqsfOjMra90dq+9tN2fPT5KEcXfI3jducuLjj9+3XynlO4fADV53ffgt1r9VPvnJT/LZz34WVVXTwCYl5TuJJEkYHfVEIDLNJuTnypTX5+4pI2QqBWqnlmnf2j+23CxmWbi4jqKpdO4ccvjKFiQQ+yHeyKF1cx+rmIU4wR1OCGwPOW+hZy2WnjjB/gu30C2dyokFzHxW6LVMzRcDx0PVNez+mI2PXmDnazcYHnRmarn5+TKZaoH+QYeVD55i57nrWKUso2afJIyRDZUoCOlsNTDzGdyBTXfrCG9sUzu5SHergT/xXh3ekZgp7oL40vUnDmY+Q36+QuuWCEx0y8BzPZIowshnhRv3xGXpiZNsf+Uq/sTFKmWFUKAf0rlzSHltnky1QGVtjsWLJxi1Bxxe3qTxyrYwwVREGcd3fdyxQ7ZaxCwcDwq8wYRRs4eiqljFLIqmYvfGjNsDjHyG/n6L4VQxOXR9xu0B7sCmenKR3nYTI2eRKedJSCgtV/Fdn87WEbl6mf6uCE60jElv+2i2T83QsMp5JFnG7o3o7bUordTRTI3K2hwHlzfve22FXsCkPXxgYOMOhRmopEhYpRyaod/3cSnvbTRTe9316rdY/1ap1++vo/VOkQY2KSmPCKNGj93nb75qJwD091qM2wOyC8dvSLIiM3d2mWwlz7DRFaq+horTm3Dw4h2y9SKd24fT8eq7NgYyTl9I989fWKO3M1XyzVnUzi7jDm3MfJbSxTkC251uN6a0Okf11CKRHzHuDDj355+iv9NksN9GVoU+jZ418UYOAMUl4UmVJGCVcvR2mjPTysgPieNY3DxNDbs7JFcvTU02zyHJsPzB03gjh9FRFz1rCmNMQyNXLyLrGqNGj/xcifqpJXq7TSRZwgwsDMtk+YMnGRx0KC5XcXojkjjBLGTQsybl1TlU08AZiuDj7KefpH5mGTOXYfeFm7Su75LATC3ZdxwWLqwRBSGZiggmAtslScDuDDHyFo3pqHimnBf6Mm4AJEJw8DU2EHEUQyJ6o9o398nPl+jvvar6bHdHMJ2ayp5eYnDQJoliNEMjUy2g5ywkwKrkZ4GXkbeQFYXFSxtky3nGzQFRED3w+nJf43t1lzAIaN86EPYQ07F1PWsyf36V4lLtnsenvLe5K0J5v3KUnjXJlPP3edZ7jzSwSUl5BIjCiPad/VlQE4WRmFxKEgLXR7fubfyUFYX8fJncXIn2rQOOru/MSlOSItO+tU+2XiRTFtNEZjHLuDVg3BqgZy2qJxaRFFAUBc0yKC5UyFYKbD97lca1bSRJRssYuEObzp1DCotlBgddkvU5zGIWzTJE+SOKcUeOMI8c2bhDi9x8mdN/5gkSEnK1IpDgTTxaN/aIXZ9omkHSLAPN0qmfXaF1aw9/4jE46GDlLZaeOIk3cQn9kFy1wOCgTW6uxPaXr2J3h5TX58nVS0L/RZGI/ZDRUZ/iSp2MnWPcGmAWM9ROLTFpDehuHaHnTPJzZWonF/HHDu3bB1jFHIqikiTC+iH0A4orNUI/ZNTo0t0WwVNhoULt9BKjwy5xGDJ3flWIFRYyJHFM88YexZU6qqEfKycBMzsLWZUZt/ssLp2E1wQ2sqYShxGSImMVc6w+eZreXgunN6Hx8ta00VlHy4i+prs3J80Sys12b4ykyg+ctlIMDdXUhZihxLThO0tvq3nMTBVEr8X+C7dRDT0V9HufoVkGSx84ed+pqOUPnHrfjHyngU1KykPA7o0YNfu4QxujYGHmM/iO0B9xhxPG7eHsF7QkSWRCn/iZCEW518jQHUxo3dy7p98mASadIXrGRDU0zEKWyA9xhxMkSWR93LFNHET0dluolo6Zy+AMJljFHHEUo1sGvb3W1PNIJ3BcWjf2KCzVyFTz2O2hmNiRXq3PS7KEWciy+40bmFlL2A5oCpppsPD4Bocv3yGJYzLVAvOPrUECW19+hfzUSkGzhOpu+84hS0+cIA5j9p6/xcZHL3Dw4h0mnSFxFBNc2yFXL9G4uk1lfR6nN0bWVSqGilWoEbohRs7i4MU7whZiGgwcXduhv9/izJ97kjiM6dw+IFPJUd5YQM8YZCt5ITT4yg5RGJEp53CHtigljWzqZ5YpLlfxRg77L9wi9AJUUyc/JxqEM+X8MdsIEGagmqVP//94uj9XLUy9nyLyc0WMvIVZyBA4Pt2tIzGC3xmCJBGHMUfXdln+4CnG7T7VE0vsPneDJBGZqdJqDW/okCRCyVmSJJZOraFKMoO9FrKmzm5olY15Ju179XRAZJgGB+00sHkfkqsWOfGxx7B7o5k8Q6pjk5KS8m0xOGiz/+IdNFMHWWKw34YkobBQwY0TIfP/ml/dSRzj9CcMj7pU1xbu2Z7TH89cpl/7nExF3GAD10edTv7k5kqYhQzzF9bwxw6D3RaTzggk0SPTvLqDbwvPIkVTGbcHMHUF79xpUD+zzKjV4+jaDuvPnGf7uWtIiF+C/lhkEPILFdzhmCSM2PnaDWRZEkFSzmT1Q2dY+/AF/JHNpDvC7o5wB5NXR5gnLkkUkwCRF+CNHAoLVRYurBGHsXitQQQShH6IZ7tkynnckcPKh84QOB7e0MaXXepnl+ncaVA7vQQJTLojhocdkihGmY5VZ8o53LGD3R8zf26FSWfIsNGlu32EZhpomkIUhGRrBWRFJo4SNFNn3B7Sur5H4HizxmSA7WevcvbTTxK4/szqAUDVNeqnlxkd9chOy0kAuXqR+QtrhJ4IvKqnlpEkiSgI6e+10EwdRVeJ4xh3MJklY1o3D5g/tyLKZtOFo6Me7amadH/7iPnzazi9Me2dBuHEE68nI5qnfcfj8OUt8t9ktfFa7pppprz/0CzjHZl+elRIA5uUlDdAFIhMRxIn6FkT/TXTSm+EOIoZNXuMWwP2vn6TTCXHuNln3BogLLUT9l+6w+LFDXJzJUZHx80M84tlOrcOKc5XUL+psfOuGeUMSUJSZBYurNHbbWHkLBRdw5tmZ3L1Eqqpc3Rtl3F7+GqZRJYJ/RC7NyRXK5EkyUw8T5IgjiNkVYYomZafJpz8xEWOru0IRd+8xcqHzlBYqnL40p2ZjUIUxSiqSugFNK5scf4zz0xNIn2RLdpriaxUOc/oqEsURMiqgiRL9HdbyIpErl6kfbshprniWIxpqyqRF+K4AePugOrJBULHFw3FOV30tDge7dsHBG5Avl5i+YOnGR52sEo5hgcdxo0uw0YPWZFp3TqAOGb16XMcvLQpAqw4IVcvMmmLLJGsKozbA4KJmCQT4/MmoRfijx2iIGTc6rN46YRQDm50Z1Nfqq6h50yqp5aIw5CFx9aJwog4iimv1MlURcDT3T4S50BTZ+PcuXoJM58hcAMxup6I8pLdERmXwPHp77UI3YBsOU+2XmSw32HU6hNHYvoNSZyP/RfvsPLkafyJy+CgQ36ujG/fp+fCTBuIU95+rl+//o7vIw1sUlIeQDD1Pxq3h7Rv7hN4HkbGwshb1E4tUl5fuMfq4H4kcUL79gHNG7uYuQzuaIKkyhxc3sTImaimjqIqsxuX8ANKGLcGU0XeEokEvu1Nsy/HbzhWIYORzxAFAVEQYRWzHF3bFSJ7EnQ3GyAL12i1pAln6faA9u19IeKmKqKUFAYUFiqMm0JROFPJz6aiklj0yvi2RxiEFBarSJJMf69NtlakurFAFEazEk1nsyEamqdCgZIkIasyCRK93RZIEk5vTKZaIFvOE7gedm88lf2XSZKYJEqwSjkUwyCRJLLVHJIiQyTWJbJwBZdUmfVnzjM46DDYE02384+t0ds6YtwaoKgqclbBHU7wHY+1Z87Svn2AM/WZ8m13quUTUFyuoZgq9bMrBLZL4PqiHFXJM24NRLN1MUd3OtmVmxcj5VEYMmr2SOKExivblDcWWHziJNmqyCZJioxq6qytz6NnLeIwQMtaEMeMGn16u01aN/dp3dxHksUvandoU1yukSnnXtOPZOBNHEIvJPReHc0VysgTojBi3B6QmyvReHkbq5jFmzhY+de6gQulZt0ysL0ASbm/cF9x5d2dZElJebtIA5uUlPvgOx4HL94mCiP2X7w96x9x9QmFxSqNV3aQJJnqycVvuS1nMKZ1ax8SMYWiWQad24fCimDsUFyuUVqbIwkjQjeYunPHzJ9bRcsaSJLE5rXbLK+tHgukAtdjeNijt3PEqNVHt3SKi1XadxrCDdrxSKIYI28RhREHL29SPbGA3Rkzd3YZWZYZ7HdAEj0go6MeGx97DD1rEIcxcRihZ0x820XPmVTW5jm6tkN+vkwcRdTPLOPbLnEYi8bhsUMw8ZAUGd/xRCZqiqwqIihJEkLHI1ctkMRCXLC0XMfuj7A7Q7yxA5JEtlIg8gP0jMnhS3cortZZfHyDFU/clPt7LSIvQM8JZeLudpPAcbHKeSpr85j5DEfdHaxihsBxRb8JEqEX0N06QtFU8vMVertN/Ik41mylQBRE2J0hSRRNH6egGhqKpmIWswwO2mQqOaxSnvLqHKNGB3/ioGgaixdPkKsVCJyAveduEBMzbg4IHR9kWHhsnf0Xb+GNXLSMjlnIomdM+nstQGLnuWvE0zJZfqGMJEm0buyx9MRJFE2dlbtkWaZ2ehESCauUJfQj3KEIakCUvZI4IQojAtdDSkRpUnpNf1YwcTEKGQoLFYycNZtoA0CC6onFexzhU1LeK6SBTUrKfRgedrH7Y5IoOSZaFfohdn9MYb5MZ7NBYamCZr5+rdrpT14z7RQjybJQ/pUkFh8/gTe2ufNHL+GNHVRDQ89ZrD1zju7uEfWTy7MbVnG5OvMvCl2fg5c2GR52mXSHTDpDoTNj6jSv7+BP3FmmxRlMsErZqeifzN6Lt6lszBMF0TEzRUVV2X/hNitPnmEyDTKKi1V8x6WysUB35wgjn0FWZQpzJfoHHSLXxyrnMLIWlRMLUy0al+JChcFBhziO0Uxt5pit6CqqqTFqiayQnjHJVPOErke7N4YkET0i+y0q6/O4Y4fAD9B0ld2v3yTyfOzumHytSGG5xrgjgsAkSVh87AS9/Ra7X79BHEYYOZP5C+ugKjSv7oi+IV1l0uyz9IFTOIOxECeUIVPKMekMWbx4gs0/ucL6h88zbg9xukPCaWnPHdmc+NhjHF3ZYuOj5+nutJAVhUlrQH6pSugEbH/1Bqqm0N9voxk61ZOLuCObKAh55d99hYXHN+huNSgt10Xj8maDyvo87Vv7sz6pKIxwBxMy1QJGzqR5Y4+5sytiOi5jUlmfZ9Tq07y+B4CRs4TDehAKpeacRRyKcp7v+GJq7JuqlVrWJA4j5s6tkp8rUVioYPfGyKpMrlYUvlz3aVRPSXkvkAY2KSnfRBzH9HdbqLp2TGvkLv7YISrn8XEJHP9bBjZCzl8ERW57gFXMYJWyZMp54UEkgTOYTDVhFCI/YO8bN6mdXOTgyhZLT5yktFCluvGqfP+o1Wd01MOfONjdEZIkkZsrE7rBVJFXEb0xU9PIYaNHcbEiprByFq3b+9TPLDM47BIH4Uz/xJ+4HL68xfm/8AxObyQUiE2dUbNPppJHM3WKK3PCiiFJkBWZyolFSktV8e+pcJw/8URwpYhJHrs3QjN1svUS5bV5JFVFyxiEbojTG5MAGx+9QOiHBK5PaaXG8LBL4+o2pz5xkb3nbxKHMYWFMlZZTGyNW33WnjnH7teuUz2xwN7zN0WJJWui6hpOf8Lmn17h1KeeIHJ9+nttkjghUytSXKqw8/UbwufJ1NFMA1l1CFyhunx4ZYtctUh1Y57QDchU88RhRG6uhFEUU1LNq9u4AxvF0CjpKrf/6EUytQKZUg4SUfLZf+k2q0+dpbfdxBs5uMMJ1ZOLJLGwZUiShPx8GfmbSpqB6xN5wnwzUy2Ic29o5BerDPZbBLaPoilEQYTTHzPYazH/+AaSIjFs9pEVmdJqne6dQxRdxbDMmf+UoikYeQurmKOwVEXVVEordUpp6SnlfUIa2KSkfBNJJMowyVSm/p71cUKCuKlLinyfLRzHzGdEWSaOsbsjtIzB8hOnGLX67H3jJlYph6wqoswkMROyU3QN4gQjY1Ium6ivCaCGDdFc7A5fNUvMVvL4Y4c4ilENDd/2hMBdlCBJkgjCMoYwWhw6OIMxJz7+GO0b+3gTB0VTydaKVE4s4A7G3PqPL81+6WereRRdY+XJM4yafeJpWQRAMXQUTaG72WDU6pMt5yivz5FECY1Xtgg9FyNnoRoa5dU6ey/cpLw6T7acR8+YjFp9BvsdNEunuFyjc/sAb2QjqyrFlSqdrYYIeGwP386IG3U+gyxJ2L0RIKaIfNtD1hSMQoYkimfllcPLdzAK2WlWYoRm6YRBhJExcIKI2BeZK0WVifwQs5Bl3OzR7I6QFUWI8ymyUFCemmoODzoEjshW3bWZUHRV6PNMy2mSLJFECb2dJqqpTfuUSnQ2RRN0MjXi9EY2lfUFMuUc/sQlnvYQITFTdQ7dgCiKaVzZJAoijJxFabmOb7v4tjDzJE5EL9ZYvO7KxjzECVESk5srYhYzkMDC4+tiXL+Um/mBpaS8n0gDm5SUb0Lc4Av0dprk58vTHohXUQ0NRVXEpEruW3vvZMp5CgsV4RekKQz22kRhSGVtnv72EZIiI8uiuVYzDUIvIEkSQtdH0RUCz2f75TvUF+oUF4Ua7Ky09ZoAQ1ZkeodT1d3+RAi1Te0I7k7mJEkCcYJVyNC6sYfbH1M7tYxZzBC6Ac5gQvv2AeXVOZYunuDo2g6RH2L3xiw+tkFn85DKxjze2MUfu9NJnogrv/1l+nttMbatiqzT+kcfo7hahzgRfTtRTOvGPu5owrg1FD06jkdt2qsz2O9QPbFAFIigLg4jstUive0GwUQo/vq2iy4JU8h+s49iaGx8/HFe+bfPEgUhVibLuNnHzGcwS1kCx2fSEWJ+B5c3yVQL5Osl+rtNFh7foLPZoHP7ACNvoloGC4+tc+uPXiRJhIJyYaFCkoj30CplKS3XiIKI9q0DoYszdsjWCnjTgDKOollA6U9cJEnCn7iin6aQQTV1crUCqikyYbKqMNhvoZgaoRfMyoUJCaNmH+KYtafOEng+mq5hd8fEcTyddFOxdBFYTTpDfNtl7vzq7Fxpps7q02eJNMhlcqi6ilXOpX5RKe970sAmJeU+lFbqDA46JHFM/dQSrdtCnVUC0VOSz1A/szwblX49FE1l4fEN9Kwp9En22/hjF0VXydZLYmzY8YUhpePNdElUUxdZG0SWqL/XngU2uXqJcauPauqEvghu7mYLaicW0S2T3m4LabqtXL3I6tNn2fvGDYrLdZAloiAijmNGRz0OXroz9YmRWLiwxmC/BQmsf/g8o6M+pdU6gRvg9Eczu4O5c2u4I5vb//EygeMR2B5xFAttmJFD88Yeve0jJFkmWy3Q220S2B6Kpk6DN2he38EqZWcZq+5uk0ylQBwKZWJFUQgcn+m8Oaqh4/QnaJZBFEZIU8PLXL1Id/toun6ME41n75M/cZEVhYXH16meWGD7qzdYfHyd0A+QdYWVp85QXpvH7gwZHvVQDQ2jkKG0VKNxdQcQ013CLypLppJH1VXc4WSmGGwWMiK4CWOMXEYk6MIISZbI1gpkyjkq63M0b+zRur6HYqiARBxErDx1Gmc4oXpiUQSSXkCmVsAZ2Cw+vo6WNVFUhdALUDSFYOSTJMkx/zCrmCVwRON27cwySRiDJJGbK7HTOWDtxClxLj1/qmL8/tUwSUlJA5uUlPuQrRZYfeoMrZt7JIUMa8+cwx3YYjpofY78fAUj+8a1bHTLYOHCOsXlGsODLpOOGB02cibOwCY/X8YbO7NMjJGzSIC5Myuz0oI7tIWWiiKTXyjT2znCzGdEWSNJGHcG1E8uMW71MYs5Tn/XE4DQ0AlcD6uS4/R3fYDNL18liWPWP3yO7s4RzmAsXKRlmfL6PJIiM2z0kCSJwmKF4lKV5vVdOncOSeKESXtAYb7MsNHF7o5FCc3SkRXhpSTVxMQTcUy2VsAfuwSOJ8prmvJqMJgkgMTei3c4+fHH8IcOdmfE3NkVWrf2hY6O45Krl+htH2GVckKNedrbU1ioYBZz3P7jy5z61EWGh10UTUXPWZAkeCOH0B2weOkE9mBIb7tFfq7MpDuY7Vu3DJIo4eDKJvm5Ev7EYf1jj00bgDssP3mSyI9QpqWoW//xRS585sMsXjrB9d/7OqHn073TYOWpM/R2mhg5A6uUI5w2VddOLoEE7sRG0VUCxxdBTSJ6r1RDmJXOn19jcNjh5KcuAQmqoeNPXDqbDQ4vP0vt5CK5epHCUoXJy9siK5QxZsGNpMjUz66gmTq+7WHN58gvlNGzJnFrD3doC9+xRo8EyNWKlNfnyFZSZeGU9x9pYJOS8gDyc2Uy5bzomUgS9Kx1356bN4NVEB497qiKP3apnlykfesApz/GHUxmNgZLHzyFqquzEgeAnjFnPRFG1mTlQ2do3xEO16Nmj/xcmfrZZQpLVQLHE4GG46NZBssfOEVpWWQg6qeXaN85ZNIdsv7h80xaA9G4rCmMj/pCvh/hNu4MJni28G8CUYYLXZ/BYYc4TjCyJoHt4Y6dWeYiiYX+jJ6zGB71xNSSG8wCG0VXyJRyU0l3Xzhpqwq1s8vThmd47C9+mP5ui8Fhl7nza8Kx2/awp9NfSZxgFbOMWz3M6Th7rl4SIoRhRGB7wtqhmEXPWmw/+wrJVLCvdnIJxdCZ9Dq0bx8iyzKQUJwro2gahy/dmTVfm4UMURDR3WpQP73M3Lk1Gq9ssfb0ORYfP8GkO8AbO/i2y4mPP07r1gGKKiPnTMqrdTqbDRRdI1vOCWsH159NIJEkorw2cfFGDnNnVuhuN8iUCwROn6OrOwDEUcSkO6S9ecjGR84zd26F5vU9stUC2UqBJImJY+Epdtd4c3TUY9IeCoNM1WL3azeE99iU/l6LUbPH2tPnUtuElPcdaWCTkvI6KJr6jjjemvmM8IeauEinl/HGNkkYs/r0WXzbxR3ZwvH5LhKUV49PrVjFLCsfPM3cmRW8kU3r1gHNq7vIikwiSViFDEsfOEmmlIckwXc8Is9HkiWWHt9A0VW0jEnr1gGRF0xtGAqvNsFOXCHSJ0ssPLYugrucKRSFY5BkMXZu90aijGa7TNoDQs+nsr7AqNmnemKRxivbWIUM7lCdqvnGIqC7czBtllYxpkFjFESivyaOCTwfWVPobjcoLFVxuiMiL6B6YpHKiXniKGbry6+gaCrdOw3y80UWLm6gv7zJpDOkMF9GUhX2nr+BJMvk50p4E5elSye49ceXyVZyVE8sMNjvsPq0yLjYndHMq8ruCi+duXMr6FmDxivbVE4uCP+s7SaltRqKoeAMJgS2h7Ga4fSfvQRIZKoFdr9+QwSmwYhsOUfgeiiaxqQ9JL9Qprt9RBLGSIqMZ7tEUUT75gGrT+UIbA/N0MR0VCBKWrIiMzjosP7RCxhZi3F7gFnOki3nmXRHON9kgTDpDOhsHhIOHWLHO1a6AlG67G41RHO09K1LqinvHyZjm4P9BvbEIZPNsLQ8T/YN9Au+V0gDm5SUh8TwsMPB5c1jCrJmIUOmkmfUeNVSQZJlFs6tk50r3rMNSZLQLIOja7s4/TH6a8pjgeOx//xtCosVJp0hVik77W8JMfIZ7N6Y0fVdSIR/lZnPkK0LLykjZxHHCZlSluv/4XmSIBLZKlmmdmqRTDXP/vO3qZ1exshbrzbM2h4gMekMqWzMY+YtznzXBxh3BkRhhJ61sIpZ9l64LawCakVqp1doXN1BVmSsUpY4Sph0hmSrRSRZFqWuBHJzJcrr82hZg1v/4QWQJObOreIObdyRLYKZgU3t1BJWKUfz+i6B7WEWc+TrJbLVAqPOgPbmAaPDDtW1Ocob82SrBZzemKMr2yBB7fQKUWDPMmWdrQZLl04yPurTur7L2e9+itgPkWThHWWVctROLeFOm4W1jEFgu8R+iKIqOL0xo/YAWVXxRjZGIYM67Z2SVUWUrE4tcfjyFnrOhKnLuJ41kRThym6VcpiFLEkUEzj+1CNLlLr6+y3cweS+11hvt0WsHdNKPMa4PZjaQlhv7uJNec9ysNfgD37/Swz6r/5wKpby/Cd//pMsrdzrRfd2cO3aNX7lV36FK1euoGkan/jEJ/j5n/95KpXKO7K/dNYvJeVtIvB8vKlf0LfCGUzYf/HOsaAGRB+NN3JY/+gF5i+ssfD4OhsfvUBcVB8omOb0R4yOuvcst3tC8di3PcyCxeHLW+x87QbDRpfGlW12vnad0A2ENkwpRxSETFp9oqm4W3mtTm+/hWaIJuYoEmaPR9d2UXUNd2wzOOgwd26VTDlPHIlpnVytyOLFDaonFzGKWSRNQVYVFh/fQJKgeX0XJLBKWfLzJQoLZTqbh7Rv7nP7j17i6u98hfHUv8nImgwbXXrbR7RvH9DZbDBu9Aldn8ra/HRE2qG3fYTdHWFYBnZ3ROvmPsXFGvWzK5RX50CW2f7qNcrLdUYHXRYvnqC/12L3uRv4E49MJS/cxaeNy4HtzUxKoyAiQTRwm8Us+bkSkiIxavYZ7LfZfvYqV3/3OYKRgzdxObyyxfCwS/PGnvCBWhO6P4uXTqAamhhDl6B+allYOOiimVpRFSrrC6immAhDkjDyGeFr1ejS32sxOOyIHppCliiMiMJQ+FY9gDiIpqW2lBSRqfnmoAZg0B/xB7//JSZj+wHPfOu4rstP/MRP8OSTT/KlL32Jf/tv/y39fp+/9bf+1tu+r7ukGZuUlG8T3/HobR/R32sRh7FQhz0xT3Gp+sBgZNIePDAAsrsjZFmifnoZgCiKCLcfHCwFjk/yTUaYoR/MShOyIuNNfIpLNZzBBDNvIQFmMcPuN24yPOoxd3oJJAlvJATuFh9fp7PZQDcNNEsnCsNp+UlkiIaHXU5/6hKdndZM/G/u3ApGzkKzDNq3D2jd2Ce/UGLcFK+1sFihsrEgJnhc4SBeO7PM3jduEnnBVEFYTHwNDjpkqgV620ckCRh5i9FRj8D2GB12OPPdH2L7T19heNRDtwzWnjlHGIpRa9XUKS7V2PvGTSRJ9AopmsqpPyuaqVVDZ+er18jPlwm9AYqhUU0WRXOv7ZJEiWjszmeQbGF2KQH5xQokCcODDnf+5ApxFJKrl1i6dJL25iF7z9/i1J+5hDdysYp5VFPHHdpCcTkRjcOrz5zD7opsVOvmHplKgaVLJwi8gOJSBd/xURQFs5QTpTk/EOac0/H/TDlPf6dB6EWsfOg0RsbEKuVEH9h90LMmUl7Ht0f3XZ+rFdHepKFrynuXg/3GPUHNXQb9EQf7Dc6cO/n27vPggPPnz/O5z30ORVHQdZ0f+ZEf4Wd/9mff1v28ljSwSUn5Ngi9gIOX7jBu9mfLnMGY/RfGRF5AbRqcfDP+5F435bskSULofeusz12+WbUWmPkoWaUcdnfIuNUnjhJy8yUAevvCn+jkxx7HHU4YHokMiZ6zyFUL5Opljq7uolkGhfkKIN2VxMEZTOjvtrBKObLFHKqiiKZZQ2P+/CqbX36FynS6KvRDfNvFLGZRNI2db9wgVysiKwrZqjCWFK7ZKqHvIkkw2G9TWKyy/8JtqicW6G4fYZVzZKoFIjfAmzh4QxunP8EsZmjttTCbfebOrdK8sUfgeCw9cZKzn/4ggRcgTye+NFMnSRIm3RH5uTJmKcv4qC96d5ZrjJt9jLxFEseizygIyVYLU3FB0R+EBN7YRdEUQj9geNAFJIrLVRqXt2hvHpKt5BkctCgtV/FtD2/sILvCqiDyA9Sp0/rCYxsoqszR9V3cgbDdUHSVhcfXWbp0kv5ek353iAS4IwfV1KmcWKAxtYeYdIaUVmpkagXs/hgJEWTfnawDIdLX9ydoQ+NY8zAI8b/KxkLaX/MdhD25fwB8F+d1vpfeKidPnuSf/JN/cmzZv//3/57HH3/8bd/XXdLAJiXl22DSGR4Lal5L6/YB+cXqfcfCteyDdUQkSUI13vhH0yrn0HMm/vjVLyVZ1ZBlj+2vXqV+epnGlW1UU2fSGVI9sUDrxj6hFzDYb2PkTGqnlmjdFMucwYQkidEzBoHjYZVzqKbGpDNg3BygqELdN/RDuttHlNfnmH9sHUmWiPyQ0uqc8CcCQsdn7sIag702ey/cRM+YDHZbxHHMpD1g/vwqiqaimRqapdO5c4CeMZFkCbsjRPxC1xfj3sUsoR+KUfgoZu6xNYYHbYpLVQb7bWH8abskSUJ/r8XR1R0qJ+YpLFTRLGHsGfpCx4UEiEHPWrhDm9aNfRYe22B01GV41KO0XMPuj5E1hfkLa/T2WuQXyixePCEE9XQNxsKPy+6KfiLxegNhK9Eds/7h8/R2mjj9MdWzizRv7qMoCkZB9CSNGn30rEnt9CK9nSaSBPNr66i6jj+xWXhsfeYuXtmYR9FUmtd30UwNWVHobB1iFbMM9tv4tghoSqtzqFkxQVZem6O0WmfvlSbnnj7LYK/FKB33/o4m8y16qaw3IWHxVkiShH/wD/4Bf/AHf8C//Jf/8h3bTxrYpKR8G9wdjb4fkR/iDe37Bja5aomWtk889Wh6LZlaAauUe8PHoBk6i49vsPf8LaKp15KeM2m8skllfQGnL4Tk7orkxWFEeWOe1vU9nN4Y1dDp7bYxCqKfQ9FU2rcOyFQKREGIO7RJALs/IQxCcQPNWex+7TqKpnLw0iYXP/sRxq0Bzet7yLJMppgRZpZ7LcrLdfaev4UkSYSujzdxsYpZ4igmCoThowjOLHJzJZyp15Sa0QHwRg6SIiPJEr7tYnd9stUCiiKzdOkkvd0WZjE7Kx9NOkOUaVNurlqks3WIkbWmysbzRF6AauqMjrpCPLBWZNzs0bqxy6nv+gDdrQaKqnLyUxcJ/QB/aFM/vUTz2h7Xf/9rxFFMrl6isj7HwUt3RAktTpBkicJCiVGrT2GxwtaXrxCFCUtPnESzdFRdE95evSG16SRb4HqEXsjpP/sEEsIiwumPIQHVNJBISKIYezCGOCFTzpPEMXZ/TP3MMpt/egVnMJm93mGjQ2mlzvpHzou+p1gYhJqFDNlLJ/FOeXiDMZPekPatAyalIfn5MtY0EE15f7O0vECxlL9vOapYyrO0/M40DwOMx2P+5t/8m1y5coV/+S//JefOnXvH9pV2laWkvAWiIGTc6hMFIWYxg1HIzFL6oRfgjRy8iUMU3Ru4gGicXX7i5ExZeLa8nGPhwvo9vTkZw8LpjXGHk5ky8WvJz5XZ+OhjlNfnhHCbLGHkLJz+GH/siHLGcDLNJgzJVcSEVRzHyIqEMxizeOkE3tBh52vX2fvGTRqvbDFuD1AMld7WkbA4qBWZO7eK0x/jjRzszpBsNU/79iH9/Q6h49Pfb7H/4h26Ww3Kq3VGR72ZLxSSNFMa1kwdPWMwd35VTFZNXAYHbbyRQ/XkAmf+7AfRMgZrHzlPdWOBwWGX0PVRLYPK+sLUvdqjemqRzFSLpX5mhVxNlI/Ka3McvrKNmctwdG2XyA9QNI1MVQSOkiwTh2LaS9GFpUF/p0nn9iFWJU+SwN7zt0BR6Nxp0Ntt4vRtJEmiu9lgcNhh/rF1kCVkVUE1NEpr8/S2m+gZE3/i4Q7GBLbL3jduMtgT00uaZRAHQll5sN+h8co2zRv73P7Sy2iWgSTL+LZL4+VNMpUicRAxaQ7o77ZxpmXD4nKNwX5HiDPGiXCd746FF5imCFHHb7pM4iimv3PEztdv0LndYHTUo3l9l61nXxH2DSnve7K5DP/Jn/8kxdJxCYu7U1Hv1Mj3zs4OP/ADP8B4POa3fuu33tGgBtKMTUrKm8Yd2RxOtVK8kSMaXcs56meWaW82sDtDklhovgz228iyTHGpes92iks1zKLogYmCCD1jkCnnj4kAhn5AZ7NB64UtwkIfRVXIz1eon12+x/PH7o9wBzZmIYvdHRL6IUksjDyjKJ45Tqu6RpzEUxdsFUXTWHhsg4MXbtPdPkK3hF+VVczh2w7FxSpLT5xgMBV/03PWzCnanDaumsUc3a0j4SA+NdS0e2NKyyGBG9DbbVLdWJgZWHojm3Gzx/qHz+FPPLp3jvBdYZZZXp9jcNBm8eIpNp99hdALKC1VqZ9ZZtjssfbBM9z+k8sEE4/AmZZclmvYvRFmMcOJT17izpcuk6kUGDd6YtJIVyit1Geiff7IZu7cKr7t4Y5siktVyuvzQMLZTz+J73iEns/c2TWa17bxJsICQ8+IEqJZzOINHSobi+TnyyTAE9//STa/fBVFU5FVmSgMsco5FF1Dz5jkFysE0+bmcauPogrvprtN5IHj0bq1z/ITJxkcdERmaK4oNH0c0R8jyzLeyCFbLdC6sTd77zOVPMXFCp1bh3Rui7/FixtUTy29en10R9NG5OPXYeSHHF3dFiVHLb0lvN9ZWlng+37oP+Vgv4EzcbGyJkvLC+9YUDMYDPgv/8v/ko9+9KP88i//8rsypZdexSkpb4IojDh8eYtJW5SgtIyBWRCaMHvfuEV+sSLKEorM/JkV7O4IuzNENbT7KrwaWfN1rRnatw5o3drHs10oiF/dg4M23sRh7Zlz6FPPH3/iMjzocnRVyO1blcJMmya/UMGbuGhZE2kwQcsYMHUnVy0DZAl3OMHpj9FMAz1nTV/TCH/iMmkPWfnQGY6u7hDYwsvqxCcukqkOUFQZuzemvCoR2C5hEKBnhOGlqmt0NhvMnV+jsFAVDcxhPBt5XvrgKezuiN2v35z6Ksm4Q4fDy1vMnV/l6JUtyqtzhJ6PP3bJzZU5/Wc/wCv/9lm8kYNmGRg5i9APGBx2WPngGdH4a2ic+MRFvJHN2kcuUD25QKac5eDyFoeXN4XXk6lzdG0HPWOw/MHTRH4gLBuimP5em2y1IEbfowS7NyZbLaDWdIaNDv7EJfJDVFMniWMe/56PMOmNuP4fXqCwUKZ+ZplsrUjt9DKKoSIpMoX5Mv29NtZShfLqHMNGF6c/JgljamdXiMIQSWLmt5XEMfWzSxxe2aJ2YpHico1Ja0CmWhAj4qqCO3LEe2ho5OfL7HzthsiC5SyiIGR42MUZTMjOib6KUas/tZK4F3do4/bH5Oqlb+vzkfLeIJvLvO3TTw/iX/2rf8XBwQG/8zu/w+/+7u8eW/f888+/I/tMA5uUlDeB0xsx6Qxm/5ZlmVy9hKpr9PdaVC2D8mqd/EKFwPGEHgkwOOy8ael6Zzihu31033XuYMKkM0RfEWrEk+6IvedvETgeiq7i9EcUF6sMDjoomkJ+oULoCAPK2ullhvsdzEIGLWOimRqqKcoxetbC7oqgbdIekCSJMO+clqEG+21iP8AdTMiW89iDEQsX1uluNYRP0cRDliUy5RxGLoOiKpj5DPPnV8U0D0IPJlPOUZivsPu16wSuPztPRs7CG9scvLzJ4mMbKLpC5Pmix2RPqAebuQyKoiApopQUeiG+7bHz3DUq6/OMmn02PnYBI2Nw2Nxk7/nblBYrzJ9dIUliRgddVFOjuFonXy+RKedRNAWnP2bnazeJ/EA088oSZz/9IVo39hg1+0iyhFXMkq0UhIZMIBqZt778CosXT7L42DrjZp/e9D1b/sAputtHbH3pZbJzJezOCFowPupTP7vC8KCDJMskUcykOWD16bO0bx1i90a4YwcjY9LqC5sNSZJQdJUkjqbBTyTsLFyf4lKV9jQTI8QME2RVYXTUA0millslCiNi//Un7eLXTFO9FZIkERpIsjyz/khJ+fEf/3F+/Md//F3dZxrYpKS8CUIvuCeVLysymiUyN5qho2fNe5Rg7e5xufs3gj92Zzf8++H0xpSngY07GItpH8RU1ajZo7q2gFnM0ttpEgchWsbgif/PJ/Btj8ALsNsDEtulfnqRKIiRVUXI/McxWsYkjmIROKg+mq5h90aUVmo4vTGSIpObE6aMge3jDCYUl2oEjovTn5ap8hnyixWiICAKQlaePEV3u4ndHVJarqFNnckjL0BWZSRFJgqmir5+iGbpSIqC7/gU5ssEtse4M2B41BUu26Ucg4M2VilLf79N5Ifk5kroWRO7M+TWH72I07cxCxlGhx0Cx2P9o48ReYGwWKiX6O+2GB/18V2PyAsor88z6QyFb1cY0d89IlcvYneFUejdTJ1ZyKBlxTnq77bQTGFIqRgqi5c2MApZxs0+42YfPSf6owqLFWRVZtwe0Lq5x/pHzuMOHRpXtghcH0XXSOKIwmIVzdQZNYVvl1XMCSdyTcGfeNTPLNO6sU/t9DKNK1toGQN3OBGq07Lw3fLHztRBPaF5dYdcPodVztHbbc6uHz1rirF1NxCSAVPNnzc7/p0kCeOjvuhBGk5QdY3y6hyFxcq37a2WkvJWSAOblJQ3gfyAHgRJkYjCGKaTO9+MbunH/h0GIU53hDu2kWWFTDmHWcweu6lIyuvcYBJRFmvd3CcKQ9yxULMlEWqzuUqR1q19VFOnemKB+cfW6dzaZ+e566w+c471D5/D7YusTxSKPpxgKkanaOrs138UhJRWROlEUWRGRz30rEm2kkfL6Nz6j5dZuniC/EIFZzAmmo5j+xNhsWAWsyRRhN0d0d9tYRQyLF7cQMuY9A/a6BmDCYgSlaqiaMKnCgkypRzDZp/8XIn+XhtkUDVNlGGGEwLbpXpyiXF7gGYaGFmT0PUpLtfYfPYqSZxg5C1kVZ4Ffa0buyw8voGeNdl+9ipJkmAVsoSujz9x2Xv+JqtPn8PpjcnNldh7/jaXvvdjXPv9r+P0J8RBiKSI5t6Njz2GmbcA8Z5704ZdSZa58x8vM39hDac3mhlpRmFI6INZyEICvu3RuLIl3mtJYrDfYuOjF+huHxEHEe5gTGmlTm+nSaaSJ/QCcW5tl+rJBfLzFcrrcwS2R6dSQAKMgoUkyTj9seixShIytQKtmwcsXzohbC8mLlYpx+CgQ3+/BQlkyjkC12f+3KrQtpHfeHDT321xcPnOTCQysD2c/hi7P2Lx8Q1xPaWkvIukV1xKypsgU85jFrMiI5MIQbTAdonDGKuUxSrnCBv+PZNLxeXa7P+9icvhy5sz/Rsjb9HflUGWyJTz5GpFMpW8cMjOmveqyibg9MdkKjkGey2QJPSMgaoJ/RJUIb6WrRYYt/r0dppi/5JE7cwK+y/corqxgDuyCbyAldOLDPbazJ1bmQq/DXAHoq8kr4mG2c6dQ6xyHj1rYRQsZE0mVy+z+Pg6qq6ycGGN/l6b4WEH1dSobMwzd36dOAx55fe/Qeh6SEj091o0rmwJt/HVGp3NQ/KLFezOEEmWxJ8isilmIUtns4GRM6lszKPqKqqlAxKqrqHoKpPOAG2q0FvemGfU6JKpFqb9KHm8oY1q6qJJuzPE7o2wyjlGh10UTSVwPCRVCAkqmkroh/S2GiLT5AXEYYTdn1DdWCAKIybtIbKmkKsXcfoTQtfHquan2jsKxaUq/d0WSZKg6qK/xh3a6DkTzTKwp/IAiqbORsTjMBJZMstAVhUOX95i7emzjFt9SqUs/qQgRuHrGpppoFo6uVqRwPUZtwbkF0osXlzHH7uMWn2c3vDVslKSoGYMOncOMPMWK0+eob/XEvYM08Z2s5gVo+FhROOVbfScSX6u/IY+D77j0byxd4/yNYiAp7hYJT//xraVkvJ28UgGNv1+n89//vP80R/9EXEc88wzz/A//U//E3Nzc7z44ov80i/9Erdu3aJcLvPTP/3T/NAP/dDDPuSU7xBUXWXx4gb7z9+mv9di0hmQJKCaOgun1mhe36WyPo/dG4mSlQTVE4vk5kqzbbRv7c+CGquYpbfbZNjoISECID1rUlmfZ+7CKgsX1th9/taxY/Adl2ytiD/NQtzNssi6hqWrov/DC4mjSOx7vkxhqYqRsxg1+yiaKgTn5suY+Qw7z92gemKRztYRetaksCgmuAqLZWRVYfdrN6idWsIsZEjiBKucw8hZ7H79OpplsP/ibUDYLeTmy6IPppDFHYxx+mNkWRIZpiiclZoOXrpD7fQShfkK/b0W2VqROIqnU19laqeXGTQ6IlD0AjTLIF8vsvO1G9ROCbE70V8jFJbnzq5AAoEXQCQalCVJEv1BfoBezCIpsug/kWTs3ghJkYS5ZD6D0xfKv5Ik4Q5tymtzjB0xweRPHI6u7wpj0CAiGkd0Nw/Jz5WJwoiVJ09RXJlj609fZuerVzn5iYsMD7v0dlsErk8SJWIsO0rIVgvivVZk9IxJcalG6PlEfjgrBWqmjqIqSJJEZ7PB0hMnKSxU8IY2esEiDmO6mw1kRUYiYXjQJVcr0XNaSJIY8wfRUF45scC40xdltb02mVIe33FFoFPIYBazwhOLu5dSwvCw+4YDG3cwmWXD7se4PUgDm7eZ+8k9vJ94O17fIxnY/Df/zX9DsVjk93//95Flmb/5N/8mv/ALv8Df+3t/j5/6qZ/iZ37mZ/iRH/kRnnvuOT73uc9x7tw5nnjiiYd92CnfIWQrBRYubiCpos9E0TUUTYiv6ZaBN7Kpn14mSZJZ9uWuLo07EsaRILIqznDCcOrknSCmUwD2XriFJMuU1+qsf/gcSV4lp1tiHFdRmLQHonQEIEkgSyx/4CT7L9zGyJqoFQ27J/ou8vMlRtNRbSNrolvGtJyxxPXf+xqyIuPbDoXFCs1ru3gTBzOfYf/FHiSw8bHHGB52GB52CVwfto+Io5i5cyv09pqsPXOeYaNL4LjCnbwshACXP3CSvedvCmE+z8eq5JFVhcDxibyAo6s7zF9YJ1POi96PBErLVTK1EnZnIET9ZJk4ilB0FeWJk+QXy/S2mqw8eVoENZYhrCMKWZzBhIXH1imt1jm8so3dHU1HrxVCX3hVhY5PFEdkayXcoTCttHsjZEXByFsomkISQ+gJocPiYlX0oMgyk/ZgdvwkIKkKcpJgFrLEQURvtz2zpfBtF3dsUz+1ROv2AcHEJXA8jJyJnjGon1lm0h0SuD7eSDiJrzx5hjAIkBWF0AuorM/NBBGrJ5eYtPuMmn22n72KJImxdSNnIcnQurlHtlZE0eq0b+6jZQxWnjyNO7LpHjSRI0n4TfnCVyxwAwI3EHIA8yWk14zg+t9Cdv8Y3+ImdL9MTspbQ9NEv5Jt21jW+9eN3bbFd+Dd1/tWeOQCm5dffpkXX3yRP/3TPyWXE+qrf+fv/B1arRa/93u/R6lU4kd/9EcB+NjHPsZnP/tZfvM3fzMNbFLeVezuEG9oI8kSge0RIIIMWVVmE0S5WvGe50VBOGsI1iyD9p3D2bokirB7IyGjH4Tsv3gLZzwhWymSRAmSLGMUsvi2R+i+6gqeKec4uraLP3GEQ/VUPbh6YhHf9hgctMUNTNdQNFVM95RzjBpd3KFNtlbEyGVJopD582swtQmQps7Why9v4U0cMXGlqXgjh9D1kWSZwqLIuMiqQmGhyty5Vfaev0VxpcboqI+sKqLPhldvmGYhMyv7xFGEljVZfHwDWZWJg5jWrT2OXtlB1VWSRIxVh47PnT99hUuf/RhJEDM86OAMJqw+dRYS6Gw26O6IbIfTH1M/u8zBS5somkIcRnhDG3c44fx3PyX0ahJoXhOeS1EQgiQxbvbJ1UuU1+dwRza1U0ssXjzB4ZVN9JzIZEnTfh1JkkiSBKNWYOfrN1l6fJ36yQWKq3McXL6D0xsz2O8wd36FuTOrjJrdmZje2U9/iCRJ2Pv6DQCsktBA8m2X7WevzoQVo0CYbJ74xEW6W4e0bx+i6poILhFloGy1AElC584hnc0G6x++QCJBFETsfuMWq0+dobI8j24ZZGsFQj9CIkE1NUI3wB2J5mr9NZIDev6N65nouYzw1XrAxNWbnQRMeTCKolAqlWg2RQN4JpN5x3y+kiTB8zxkWX7XvMSSJMG2bZrNJqVSCeUBBsJvhEcusHnppZc4ffo0/+f/+X/yv//v/zuO4/CpT32Kn/u5n+PmzZucPXv22ONPnz7Nb/3Wb73p/TxIEfad5O4+H8a+H3Xea+cmcEQfTRLd5xfpVAjvfq9FVhUR/ExF2SIvgCQhAbyJh5m3iKMIkoQoiEiCiCv/7ssoeYO4VmF42MW3PUorNezeGCNr0Nlq4PSERPpgrz31mtJIkoTO1hF2Z0ASiamn3FwJLWOwcHIdpz9i7ZmzBG7A0dUtEqCwWGHc6E8nmSLWP3yerWdfwRvaeGOH/HyF0AvEtEuSYGRNkigiVy/hDMY0rm6jmRpm3sLujLBKOTq3D/Btn9AV50xWZBRD48yf+yBxHNF4YUsEaknC4sUTdG4dikkpRRY9RiOHOI6J/ZDeXovWzX3yC2UKi1WMnMnOV6+Tmy+Tq5UYNTp0Nj0WL25w9s99kP0XbjPpDbHKOVafPousq+x+/QaDwy7F5RrtW/tCJdjxxPmZL1E7uSjS4ZLE7f94mVOfukgSJTSv75HEMbm5EqWVOkfXd8hWCowaO9jLNYqrc7j9MaEXImsKVklMpKmGzvy5VcxihsANkGRwehM2PvYYvu0SkxCHEQcvbVJYqGDkLezuiCSK8W2X9q19oijGG05IchaKriBJoqwWesIUVFx3CUkcY2RFYDRu9lBUhYSESSIuzPLaPO5wQnltntb1XXEtu/5U20iUE/Nz5Tf8OdQyOpWNBZrTbb2WbK2IWc4+sp/p99p3DkC9XieOY46O7i8D8XYSBMG3lTV5qxSLRer1+n3flzf6Xj1ygc1gMOD69etcvHiRf/2v/zWu6/KzP/uz/NzP/Ry1Wu2eFJxpmrPU1Zvh8uXLb9chv6f2/ajzXjg3kiRheDKNRuO+6xVNRW+XGB9s3bNOVVUwobnboBCWiOSEyXiMIsn4jodesrAHosG0fGqBO1+7KkTWVJlWSzSl6orG+JUReiVLKMc0bu/OUv7ZSoHuoIeKjH1txKkPP07g+/R2m2TLeUI/oHpykdbWIXZzgFnIMjrqiQAlTth+9hqB7aJnTDLVAq2bezMxvMDxifyAXL0oTBeTGEmRkXWV/l6LeKpPE0exaGqdK2KVcuw8d50kSlB0FVUTvSP5+ZJogC7niQORqcpWCmiWPsvsCC+pkND1UQwNPW8R2sJCAVmiemoRpzvCLImpJkVTRHklESPYoeOz9ORpNEPFGdhMOkPaN/dRdA13MMEfayw+cZIkFCrMiq7gjV1UU2f3+Vt0NxusfPAUl//Nn2LkLMyCxaQzZHDQIbBdTn3yEv39NktPnCI3VyLyAvavbLL29DkG+20kRUI1dSRZonFth0wlh6Jp2OMJvb0msqpQP7VE/eQyo0aXwkqVyI/o7bWQZKFb44wm3PnSy6w8dZZBr8/SfIlhoyd6iUjQDV2M5pPg2y7OWJS1fMdDy5pEUURhoczh1W1QIdFlBr0++UoRo56nu91AsjWG/gTN0Fm4sMadw22ivTd+s9c1DW0xR3eriTe2UXSN0koNryDx8itX3tyH6yHwXvjOeViE4etrH70TOI7zwO/WN8ojF9joumhk++//+/8ewzDI5XL89b/+1/nhH/5hvv/7vx/XPT5K67ou2eybN3C7dOnSt5XqeitEUcTly5cfyr4fdd5r58YbO8jDQOjafBPl9TkWLmw8MIUbuj7lfJHRUZ/SYyX2X7hFHCfkykXiKCKXy6HoKoV6md7tBtmsMHicX12eyZH7tkt1ZYHA9clmsiBLmPmMMIfUVcbNPl4A3TuHWDmL6scvEoURkiRx6w9fRFaFxcDeN27gjV3OfveT3PqDF4WwWsJsJDhJEgLXFwq/nk/oiVJI4Hjk58tops7uN26y/MQJtr9ynaOrPvMXVoXf0cRD0TUufvZj7L94m+F+B0mSKK3U0bMWe8/fmpo/QnlFeEr5tjubatJMncgLUAyVOIrIl0uU1ueZNIVmShxEVE8sUFmfp3OnQRREmMUM3sjByFkcvHSH7EEHzTLIVgs0r++i6BqyLJHEMe5wwt7Xb6JnTRFgRRFGzqK7fUT7xh75+TJOf0JgCwFBccOu440djFyGg5e3CByX0Ato39qncmKBtQ+dI4kSzLwIglRDEyPWYxdFVamszdHbac7K7JP9HvMnV/CHDrlygf5ei0wxNy0Dhjj9iXg/j3osnz9Bb+cIM58hcgdIikIURIRdMVJee2wBpzfC7g2RFTHppeoqURxTXZ0n9AO8zoTVU+u4I5vCcp6FUytkqwX0jIlZys4aj98K0aVzhF6Aoiqopv6tn/CQea9957ybPKrn5u5xfSseucDm9OnTwhslCDAMkR6NYzG6eOHCBb74xS8ee/ytW7c4c+bMm96PoigP7Q17mPt+1HmvnJtMMcfaU2dpvLKDMxDie7IiU1ypM3dmWWRmHoCSFWO3dm9EYHtkyjm620f0dpoksXBinruwJlyeJQkJUHTlWL3byFqUVurEccLoqIcky2TKBVRDwRt76DmL6slFzHyG1rTc0t48RFFVJp2hyI5kjJlHlT9yhadUEKIY2tQl3MMbO1Q3FsSU13TKaNIeoGdMMdJsaCxcWGfrKyLTs/zkGezukOa1PTIVoehLkrD0wdNU1ueJgpBJe8iwIfy1ZFVBMTRGR30kRaa3fcT6h8+z+/Ub4qbtB6i6JiwKTi3SuXPIYL9FEgsdn7vO1pWN+WkDsz/tJ9KJo2Q6vj5k7uwKURgTOGOqJ04xag3Qsxbe2CEOQpzBBNVQKa3WmXSHeBOXHAm+7RGF4lzIqtAbUk2dYaNLEkWc+ORFUYZJEoKJJ3qWygWWP3iawUGbYaNDbqHC4qUTVNbn6Gw2ZmWuu4RugFnMivJTIsqVoRcQOD6B7ZGt5HH7Y9xilqPreyxeWEfPmAwPOoR+QKaSJz9fJj9f4eClO0S+aDg28hZz51Zpt1qYOZOg7RN6gRiplyQCx6ewKPqi3g7/HkVR0E3j297Ou8175TvnYfBePTePnO71xz/+cVZXV/lbf+tvMZlM6Ha7/C//y//Cd3/3d/M93/M9tNttfv3Xf50gCHj22Wf57d/+bX7gB37gYR92yvucJE5whhMm3dFsvDVbK7L+sQusfOgMc+dWWXhsncra3Bv6tSorMrlakfLaHKtPneXcdz/FqT9zibWnzzF3bo3g/8/en4XKlmfrfehv9k30/eqb3e/sMyur6tSRZPnKsmQuyNwX2w8HgwWyQQj0JiGQHvQgwQE/GIQQ6EUIjEEP4oKQzRVHsmUd6+icU232u9979U30zZwx+znvwz9W7LX2WjubqsqsnVnxg3zYK2JFzJgRueaIMb7xfY6PZj3XPeg5cx7YGE4DJEXGKNpU1hs0bq1RXm8iKRKT9pDI85m0hxx+9IQkTkTnJc3I10QkgiRJpEkyK5hUVFMDWbgqa6aOWbRRDQ3V0EWnwVCpX1/GKueRVZlco0R5vUGhVSEJI5IoInJFBycYuoyP+mRpSuQFwvgviNj/6QMUTWO43yGZecYkYULsRyi6Sr5VptAoo2gaaZbRurtBdbNJdbNFrlFCs3RAxh87s6IgI1ctkKsWmQ4mooOmiMgFSZHxxg7VzSZpkqJZOuPjHnZZGCBOOiMaN1fJZrEEsqaSqxUordYxCjaTo75I/waSSHQgrEoes5gjyzIUVSWNY5AloZEC0kSMgiYnfaxyjvaDfcxKntv/xfcw8xaDvTZP/vATxkd9atvLFz8jkgixlFXx5zhLUuIgIgljJEWistEkSVIhKg8ijj95RuQLHdH1P/cmK29dI3A8vPF0ntGFLNG6uwlZShiEWOW88JRpluavd/Wd6zRvrX0joYQLFnyTvHIdG03T+F//1/+V3//93+cv/+W/TBAE/IW/8Bf4u3/371IsFvln/+yf8Q//4T/kH/2jf0S1WuXv/b2/x+/8zu/8pg97wXcYb+TSeXSA0x6SJim6ZVDdXqK83hDBkw/2SUJxgZMVmcpmi8bNVXGB+ZKYRZvm7Q1h3NcZQiZStK1yHlVX6Z90iWQXYS8Mq29fQ5JEB6ey3uTJH37E3k8ezLZThEh08/t3OfjgCStvbiPJMpIqiyiBVnHeFTjLk5IVBc02SNOMLE3QLBENMe1P6D094Y2/8iOad9YJJj5JEOH2xzidIdWNBt6DA2RNobTa4PTeLmkUI5oSEmmciniA0wHT/ngWxChMCW/8Z2+x86f3qG8vE059nM6IYDJleNBh4/3bYs38dMDwoENxqcrhB0/whi6qpqIVbSRFZnzcI1ct4LSH5Ool+jsnFFsVVENn6bVNDn/+iElnRH/3lNrWMpP2gHDiUV5tsPq9m7jtkRjzvbbJtD9GliU028Aq5wn9kObNVRGxMHSFvsnSUS0D1dRFpMNxDwmRzB04U0rLNWRNxBNIwCf/+59gFmysSh5/JsB2+xPW3r1B98kR+UZpVgRGbP7wLs/+6FNGh12SMEK1dOrXV2g/OCBJU9a/d0sksycpsqLMtUWR61O7tkx5vYFmqJilPMF4iqIrpDNxuyRJGAVLeOKs1JAVeVHQLPjO8soVNgCtVov/5X/5X6687c033+Rf/It/8Q0f0YLfVkLX4+Dnjy64/4ZewMlnuwSOx+S0f2HVNU1Sek+P0QyN+o3Vr/RcRs5k/b2beEOH0PWRVYX69RWe/MePCT0fzc6h6ArVzSUyJI4+esLquzc4+XSH3rMTkTReys2diZMkIVcvMjnpU15vUGyW8VYchvttkCS84YTVd28SOh7TgcPq29c5/OgpALlaAc3SKa3UaNxaJUsT3I64MHtDkRVVWq5h5G2KrQrjox6aoZFGCUgSsiwhawppmqKaOvlGmTRNKTQrQmez3qS/d8rK29fpPzumdXsdzTZEB0dT6Dw+YO9nD7n1X75LabmG2x2K0Z0bIBdtFF0Y8EXTAKc7pHFthdqNZWRVmY3zLAYHbTHSm9zHHzlIqsTmD+4waQ8JXQ+7nKey2cSqFOjvnKAaGpptYFcL9J6dQJoxOR1SWqkxPhmI+If+BLOQoOri/e08OkSeRUHYlYIQGRdyNG6u4U+m5GpFJOVsRZz5RtzkdED9+gr5eonpYEJptU7t2jJZnNJ9esSkPUBWVI4/3SEYu1Q3lwjGU8yCJTp1Gy0xBh2KMaiRt4hcn9JaY+ZRJIq4Mw2YrAmh8lky+Es/716A158QBSGqrmPXCvME+QULvi28koXNggWvCk5ndDnSYMbRR0+pbLaIg8ubA/3dU0prdbSvqDlQNJV8owwi25LRkUgF33j/DpqsEM18aWI/wiha5BtlJp2RyPaZFTTi27lNGsXUt5dxumOsWoHYDSguVRjstVFUmTROOfrwCStvXsMoWGi2wWurP2DaHzPtjUmjhPJGk9FRj9JKjUl7wKQ9nK8Z9+ME1dRZfec6k47wrJFUGUWWMfIiEVy3RLdGNQ3xutKM6cDh8IPHaJaBXSmy/NoW49MB/d1T/NGULElI4pQ4CJm2xzi9EbIi07qzQf/ZCYHr4Q0mTE77ooMRpciaitMecfzpM+xKgfEJxGFEOPbIVQvc+PNvo1k6/mhK/eYqp/f2OPlsF0mWCP0Iu5yjutni+KNn6HmL+vUVJqcDFE2mtLZMbXtZZDZVClQ3W3gjl/Fxj0KrLLprOZNo6pPECcef7RD7IZOTAXEYka+XUE0dRZepzLyNZFWhtFzF7U+obrao31xFURTyzRKDgzajwx7e2KW0XEO/tkwcRuz+5D6N66sYRZvOw31kWUazdLIUrHKO0XEfWddYeWub+vYydX9FdLhOC2ze2MYu5z/3s+f2xhx++ITQfb6godsmK29fu9KTacGCV5VFYbNgwefg9sdX/jzLMqZDh8pG68rbIz8k9qOvXNi8SOj5hK5Pb+8Y/OSC6NQbujjtIZEX4JwO58ZtIHx2zJLIrjLLOQr1MrtP7mHmbW7+v97m9N4e3sgVBoNhxPqdW5gFG7KM6WDC8LCHP3JoPzqkdXed3pMTDj98jFnMEXkBZtGmvFrn4IPH6DmTzR/cYbDXYfWt6/SeHpOlKVYxB5JEHMSolo5zOuD40x1kRZjmJUFElqQiUqFR4ub2O3QeH3H4i8dIkoSsKCiG6IZ0Hx2KUZjjCY8gVSUYexirNmbJxizn6Dzcp3Fjle7jQ+xaCZCw60XSMMZpDwhnQtze07FYT09Spl2HNI6RyOgmKaqhio7NkyO2fvd1Tu/tcvjzR6Lb1KogqypOb0h9e4XOYyHGjf1QiLolieXXt7j/Bz+lsFRFz5sYksWkM0TiTBQcYhZsSmsNyut1Sqt1kihmfNxHtw1kTWFyOqRxcxV/NAVZorhSRUqhvFKnsFwhjdKZX06EWcyhGippmmEWbOFD0yijaOK8abbB0/YeRuHl205xEBK6AQc/e0QUhBduC6c+Rx8+Yet3X190bhZ8a1gUNgsWfA7yS7abJElCUdWXpiCL8cSvvk2gaipxEDEdTLCty46wqqnNrf7FgTE36AsdjziIGR52CByP6tYSILKAypstlko2uUoRspS9Hz9g0h5i5E2CyZRCs4KsiC2gYDSl9/R4XpAYeYsszRgd99EMnc7jI8rrdWRVCF1lRcEbi6IpCWOMokXr9gaHHz4hSzPiWEQSgMidcjpCu7T7p/dZffs6d/7y+xx9/JRCo4w/nDLtjSku15AVlY3v38btjhifDjAKFrXNJZAl2vf3mPYnhG7A0mub2NUik/aQ6kaL0WGX7pMjBrunFJdrBM6U6taSML1zfRFCmYnQxu3ffY0kjDHLeQb7bU7v7c3Pgzd0Ge63kWSZLJPI1cvoOYMsTlFMTXSROiPSOGV81GXtvZs8+6NPSaJYJKLXioTTAG/gkKuXOP50D8g4/mQHRVXI1UsUWhUqG01O7+0Suj75Rpn9Hz/A7U9QNZXKVot8Q9gCxFFM6gUgvBmxy3nMojwPwEzimDTLXqqlicOI4V6H/u4piq5wcm9XFMOl3PPPEyKFfNobo681fuXP84IF3wSLwmbBgs+h0Cwz2L3a5VNs3VxtZFZeraPnvronSJZmeCOHYOIhyRKqbc62mNIL9zNLOcortXlKtKzKmEWbwPGQZJnAFVtVwWRKaaVGNA148G9/hmpoxGHM0t0NVFVh7yf38QcO3mRKvl5CAoYHPUZHfSprDWrXl3E6I/yJSxanZGlGEsVkaUauVkC1NOSZhX/v6QmaqZOSUmpWKa7WkCWZ7pNj2vf3n8dAzMya1969Sfv+Pif3dqlfX8EbOhx99IR8s0zj+ioP/69fUN0SY598U0PWhBOxXrBYenObaW9MEsd0Hx9RWm2Iwi2DLAVZV7BKOfyxy+n9PcKpT5YJh9/ICzn68Cnr798i3xCbYoBYd48TFEVBkiWC8RQjb8230ILJdB6lMD7qYeZN2gdttv/M64ReILQ9BYv1791kcNjFLOWxawWc9girUmB01EfVVfLNMnEYc/KpGFnVbqww2G0zPukjK8KZ2q4WsEp5nO5Q+PPkLRRd6HgUVWV42KXQrMzjOQCmQwezlCPyQ3Z/fB+nM0Q1dTRDdF6swnO/ryzNaD88oP9MGKFpGCK9vDcmCSMKrcqF/Kg4vOzXtGDBq8qisFmw4HPI1YpUt1r0dy4WN7KmsPb2DabDCaHjX0ikzTfK1LaXvvJzxWFE++GB8LOZFTKaqdO4tcbJk+eW9WcmfL2dU6IoprrV4uSTHdIsxSja862jlTe3iaKIZOBw8tkuSRjjT0Ry9clnu4wOutRvrnL88Y7YvNo9pX5tBUkSK8edp0dCa9Iekq+VmJwORByCqmCV80ReiNubUFquIZGRb1ZwO0NUQ6P79BijaGMUcxhFi+q1JfZ+8hAkkDWV+o0VzFKO0/t7It9p4GAWcyRRgmYbtB8dUFquomgqjZurTE4GPPtPn5KrFUVy+HjK+ns3KSzVUBSVgw8ez/1bymt1NNsgQ6xIh64/H8souirGeZJE98kRzdvrjI97QlBr6miGPnMh1hgedqhuL2EWbPzJlJNPd5AUmSxJxbp6nGAWcxx98BQkocdK4wRZUahttQhdj9r2CkuvbzM+6qFbOvlWhdgL6D05Qs+ZYkU7TlE0YbYXOB65WpHa9hpOZ8jxpzszwzvh5aOZGvJsuy1LxcZZmqRkqUg0z9UKPPo/f4HTHc0/P6khYyYK6+/fxphlQk2HDoO99vwzpZzrTPoTD7OUQ7ef50dpxqtvuLdgwRmLwmbBgs9B0VSadzbIVYsMD7vEQYRdK1JarmJXCuSbZQrNCm5/LHQlpTx2tfCVVr3PGO515t+gz4j8kGA8ZeO9W8jIRH6IXc5z9NFTkRM0ctEsg6XXN8VoIkpm5msBO3/yGXf/qx9w+OETkjBGzxlEfogkySRhRHfnmNZrGyi6SpqKbszoqEthqcLosIesKWQSDHdPWX3vJk5XdACMnMn4pD9bHa8gqwrtB4eUVmpUt5cgy1A0lcJShcpakwcHHSobLXTbnBniJSi6wu6P75MBVikvRm2zgi2ehjPjwgLRNMAs2Di9Mbpl4LSHKKoYz+39/AF3/uL7jI97GDmTWIsxCzZ6zsLtjdj8wV2OPn5C4HioujYfpUmShKIp+BMX3TYwC7Z478o5GjdX+fD/+x9RDZXKRkvEOsQJuWqB4nKNJE4oLdeobS8h6yrjox7tB4dUNpvotkHn8aEQcY8m3Pjzb/PsP37K9f/8LdI0nRsQBhNvVpyIMabbHaHnLbyBQ+QHSLKEkbfQcyaTU5H8rhoa6syJeXjQYfWd63iDCb2dU5IwRjU1Vt++jtMdMz7uIWviT3vkBUwHPpNSkfFxj8ZsUy+YTOfFsyDDrhSEESPC0+issNFzJlb16wmzjKOY2AvnuWALFvw6WBQ2CxZ8AaqmUloVQs8XkRWZXK34K6cYR0FI/yUjL2/koOQNEjfEKuUY7J7OhcL5VhmSjN0fP0A1NaaDCbIiE0w8Cq0Koesz2GtTaJZFUVbJQ5YhKQqKqhCHsbDpTIBMOO3KihiFBK6PJEnoM4O563/uLUbHPcZHPSRFodAs0bq7wcHPH81GZRnr37vFk//wIUmcUu8MCSY+K29tc/zxM6EL8UMG+x2qW615vtKkPcQoWKi6SuvOhhCzegGRH2BV87QfHlBaq19YXVYNldX3bnLwwWO6j4/QLB1VF69/OpigGhqHHz7BrhbI1UtMTgbY1bxYU1+rMz7sYlcLIEuoho5VynHtz73J8Wc7NG+tIckS/b1TnPYIzdKpbS2x8YPbuJ0Rg702bndErllmuHsqtr2Q8EZTisti7Be6Pv7Eo7zREP+eeCIAVRFZWUbOIokSlJnzslXOC88iQ8Mq5tBsHUVVsV7YZJI1hSyFycmA5p118TszT504iuk9PSbfrGCWc5CIYkofjok8sU1Xv7YinIdf0Ib5E4/mrTXaDw9mxY24Xc+brLx1Dd0SHZuzTLKXacu+LGkidEjdZyeEjoekyBRXatS2RIdswYJfhUVhs2DBK0DsR5c2Us5IkxSnP+TOj97G60/oPztBz5kUGiUSP2J42OXan32d0/v7eAMHI29TWq5j5E2mgwlJGJOEsYgv0FRkVYwxzjQUiqIKQe9MPxK6PkbewqrkUS2Nm//52xx/tsvpowM2v3+bfKNMlqSkacruj++ThjGabTBpC68ZWddIk4DIC9n903usvn2N2tYSSZjQiQ658Z+9haRJdB8ecfT4CEmVWX/vBnGYsPezhzSur+B2RkRhzNp7N5GQcHpj0jCmfmMV3TYY7J9CkjA66CKrCqquEfsh4TRA0RRUQ6O/e0JxqYJuGdSuLYnNsdm2WOPWGqXVBnY9j1nKka+XSZIEWZEIphH9ndOZc7JKNA04ubcnRm29CZKiEDguZUOsjyNJVCwDI2fgj0UnxCrnyOKE1XduMNxvU1qtMR0IzxmrLLQ3g70O/mTK1lqd3s4pTnuIqquYpRyqoYnCpZLHm/0egKyI1PA0Tuei8ZNPdsiyjNiPKK83yNKU0093Cb0Asgw1b7Dxzk3IJDIyJKS5QHiu0Zlt+dWvLyNJK+QaZaxSDruaRzMN/MmU0VGPyXEfJCit1igu1X7pbKnBfpvjT57N9VYkKYOdU7yBw8b3by82sBb8SiwKmwULXgEUXaznxsnVxY2kSOTqRYrNyswYcIBZtDm9v0/khSKs0Q+pbi0hazLBaMrBh0csv7YhHGqDSHx7tw2hyciE23Ho+qy8dY3DD58Q+yG6bQqXYkWmtFRjfNSj8+iQpbubVOUmmmXgdIYEkyneyCWNU6xKjkKrijZ7DfWbqyR+RDjz/xke9kjTDCNnsvrWNYYHHU4+2qF+c43lDGrbS0ReyP5PP0M1xMiovN4gyzJOPtlheNAhDmOSIMIfueh5k/Xv3WJ01MMs2kxOB6RJgj+ezs+XP3KpXV9mOnTJN8tMTsQFWVJkYj/Edzzqpkb/6TGSpDDYbVO/vgxInNzbI5t59GRJCpKEXcnTeXhAeaPB0UdPibxArFuXbfzxlMFBm1y1OI/bSBNVbMapMlbJprK1zOlnu6LjIQmfIyNvUtteYnI65PSzXTG+a5axqwWR/yXB8hui23VmxAdQWqlhVwoMDzocfPiU2A+xK3nMmbtx+8E+pdUasiqL5PT+hJNPd3jz//Nn5htSZjFH89YaJ/f24EwflmX44yn1G6s0bz+PWvBGLvs/e3jB38YfTxkd9Fj73s2v3GEJvZDu46PnRc05/JGL2xmiv8RGYcGCL8OisFmw4BVAtwwqaw2h0biC4modSRIjhMpGE6c9JIO5aDlNMyLXJ3Q8/PFUJFGvVAmmAWvv3KC/c4wkyXhDV+Q9VQpUt1sEs9/ZeP8WoRdiFi3sahF/5Apr/zhh4/u3ib2QwPWpXV8hdHwmJwNkVWX17Wu4/THdR+K4N39oka+X6T45wsibFJYr5Jtlpt0xz/7oU+IgpLRSZ/Xdm5hFG7uSo/fslMHeKVmSkaUZ3aeHrL5zkzgI2f/JA+xqkWl/LMI6pwFud0ww8fBGDtWtJYb7Hc5pt8mybKaFqdN5fIQ3ctj+0Wv0d05IophCo8KkO2TnT+6x8YNbyIpK5AUMD7qikEkz0iQhGE+FkHi2+uw7U2RFFkngxRz+xCXfrOANXIKJh2ro5JvChdntjXB6wjBw6fUtZFmmfn0FpztitN+htFylvNZANQ2e/j8fUVqpi26aJnM2BpqcDqluL7P5w7vCDdgXael2NY/THjE66qGqCmrBQtFUiq0Khx8+QZIlvIGDXRPvIwCSRJperCSq20totsFgr0PoeGi2QWWjKXRT5zai+nunF4qaM/zJlNFhF/POxlf6rIfOdF4AXsWkPXypP9SCBV+GRWGzYMErQmVricD1GB/35z+TZIna9jLdeDL/WaFZYemNLfo7p+TrRfqujzecUL+5Sn/ndO4zIykKmqkxOuyw+cPX6O+cYhZzmCV7pheS8IYOvmUIR93tHFbJpjdbPVZ0lepWC6uUR65KlNea9HZOaN4Rm0TLb2xyen+PYOKh6Cq5eonTe3tE/hPW3rtB98kx1c0GTntE9/HhzME5o/f0mM6jA279F+8xHUwor9WF2FoCpztictKnv3OMkbexqgUUVcGuFHB6IzFm0lUGB22WXttisHdK87VNxsfd5ydSgvX3bjI+7ZPGMdPZYw7220iSRBzG+COX+rVl/NGU/u4pWZyy/PY1zKJN5/ERwSQjSSJCLxBGg7NiI8syJu0haZyQJgmtOxtUN1tMOsNZ2GafNElYefsap5/tieiGWcq5LCvIsoRetBnudxgc9lh9Y4tJeygKpmoR07SFxsjxCF0fq1qgvFIT6d1LlflLtGtFQi9AMYRIPU1SFF0lCSLMgk0az/Q7mkqpVqCy3hRxF+eQZRGLUVyqim0uVZmnx58ReoEYP72E0WGX2vUVVO0rXEqkz9fnyN/CNOkFrxaLwmbBglcE3dJZffs6lfXm3ODOrhQwChZHH300v58kS9S2lsg3yjing3ngZGGpKlyKn50gqzJGzpx9+23Se3ZM4PiUV2votok3EHlP27/7GlmS4o1duk+OOP1sV0Q4fO8WsiaL7szpYLZVpIrfkyS2/+wbJH5I5Ieos0wpbzyFVGza9HdOybKULIWdP/5MpEvPYhmSVERQZGkGGez/7DFud0gSxpRW6yzd3ULPm3QeHTI5GaDqKoqhU1yqkmUZqqGLzaGcOe9MrL1zk2lPuETrBQurkuP4s12sUk50XQwdu1JAsw1GR2I76PCjp9S2lymt1Jn2Jzz5Dx+x/r2b6DkDM28y6QyFe7RtoGgKZtGC2bnOUtHZOb23R3WrxZ2//D5JGOMtO/jjKccf75DGsdikimJOPttl5a3r+BMXs2BRaJZELpcss/LWNrpt4nTG6DkD1dAY9yf4Ixd/5LJ/0qe0UmP17evzxHcjZ1JebTA5GZBEs/OZZMJhWJKQALtapLhcxQk8NMuYJaRfJEszJFkiDiNS10e19Iur3Wl2wcrg0u9n2fw9/7KYxRxGwSaYTK+8vdAsf6XHW7DgRRaFzYIFrxCKpopv563n386jMCSvWvSeHiPJklgpr+QxcibGtWWMok3v6TFuf0zrtU2W37xGFouL3YqqcPLpLk57gDJLhg6nPtE0RDM1Ij8k8gL6OyeQCuO/NElFCrYrtnuyLEOzDPyxS5pkTNp9aptLdI57mEVh+hZNA9IwQjV0AsdlfBTQurtJEkTCHK4sEqcLzco8ALL39IgsE4aEVjnP5HQg1sglWH7nBkbeYhQnYGhEXkAaCQF0NA3Y/J27IMHmD+6w++MHYhtolmdkFCz2fvoIVVOxKnlW376ON3JQTR1Jktn64V0G+x1UQ8es5HG7I7pPjoGM7rNj1r93i86jA2p5i2gq1q8n3RF3/9L7BOMpSRSjqAqSqZOlmRDXjqdMTvqkccK076CoMrqdQ5ZlIk/kRuUbZY4/foZmG6y8dY3W3Q3MgkX38SH7P32EJEtCZxWELL2+RXG5RhzFuL0xkixTXBrM3KMF9evLOO0BkReSJgmqqVHbXp45SFvk6yUyMgbuGFlV5ucnyzKczpDRYU8YAIYJZskWYa4ZVLdalDeaIkV91s07Wzt/kVythPoVPW5UXaV1e42DXzy+ZDxZXK5iL3KpFvyKLAqbBQteYeIoon1vn/2fPCBstuaZRPlGifJGA80QF57c+0V818Ptjuk+PKD79FiYvdWLwh9ElkRxMhJ6kCROWH5jm4OfPcIs5pCQOLm3K7Z8FImVN7ZQTU2MOpIE3/ExCwXSJKOy0WR02ke3DEIjmNvvn4mOJUlCNTWx3qwpc5GoP5lilXNopkauVuT4k2fY1SKKoqDoYrV52h8zOunTmAYYBbGZlaUZaZLij10kWUbLmeSqRZI4wfcd8vUS1a0mRjGHmbc4vb+HXc5T3Voi3yxz8ItHdB4eopkaiqYSTn1yNXH+CvUSkeuTb5Uor9SZ9ibs/eQBdiVPYamCaurIssRSJrH3s4fUb6zw7n/75+k8OiSJRIdJn3WOSis1hgddzJJNZbNJ4HjEvljjz9IUCdEhCSZTnvw/H/P93/uL9J4dAyLEUpLl+fbaYL/Nnf/yffZ/+oAoiEjjhG7BulDY5Bslmnc26D45giwjS1Jq28tIsoxqiNEemfDAWX5ze746PtzvcPTxM+IgxO2O507S9esryJrCyWe7c3dqSZaobi3hdkeXihBZU6hsNH+pz3VxucaGqjI86DAdTFA0hfJak+JKFc346h5QCxacZ1HYLFjwCjM67M0ujKI6CFwf53TA/k8fsPGDO8iqQnm1Tmm5RhxFs82blFy9CFlGNA2IvYCVN7bpPT1muD9EUhVW3trGruRxumPa9/dI45T69RWmvTEZEiQZ/sRlOnDoPjkkSzIKzTLTkcP6uzcprzfwhy7thwdIskR5vSm6KnEyEzi3cHsjiq3qbBMrEaLeKBGbSUEkLsC6SpokhI7IbCosVZGQMPImvZ1jWnfWcdpj+vunKLpGvlGmutlieNRlcjygtFKjeXed/rNjTj7ZQZJg6bUtES3gBXzyv/8xhmlQbFWYDh3SOEVWZVRDodBaovf0iElnROvOOrEXMjrskpExOenTe3rC1u/cpbhawxu41DZbZHHCoz/8iObNVcjAaQ8orzVw+2NRfDw9IgmFAeHG9+/MtpskimsNJh3hBizJMoal4XRHQjSN8LWJoxhJlsRavqoyPu6LcxbGOJ0RRt7C7Y/JVYtMBxPGJ31Cx6Oy3iCJEmRNIVcpsPT6JtP+mHAaotkGulehtFIDIHR9Tu/v4Y9dxid9nM5zh+LezjFr79wQxdjOCeXVGmYxR6FZZv17t+g+PRKjSFmisFzFLIhz7PZGWOUCsnJ1JtXLyDdK5BslkihGUuSXZlotWPBVWRQ2Cxa8oiRRzPCc7X3kh/SeHpMmCY1ba7Nkb3ER2vzBHYKJJ7QfCMfZ0AtIk4Q0TrAqBVbfu8lg93RmvV9k/6cPSOJEFE5JxuikR/36itDCnAxI4oTu46N5UTUdOOTqRU4+3WXtvRvkW2XW37uJ0xvPNBPi+c2iSNwe7J6SxgnX//O3efafPp3lLKX44ymapVNcrhKHEeW1BuPjHv7YJZoG5JplZEWh+/BQFDxpyvLrW8RhhHM6ZNzuIyHj9oYsv7nF6KiHnrNYe/eGiEzIMgYHp5BkBKMpkSs2cHK1gvCvWanReXCI2z0k9kU6tzAZzFh55zqnDw5IglCMoNpDkjhh78f3efe//fPs/fQRjesrHH30jNgLKCxVcTojvJkYubrRmrlQZ5ze26Vxc41pf0x5tcHun35GlmToOZPIC0nCCM026T09JvZCFEObG/aN+z00W6e4Uqfz8AAkyNWLdJ+ekMUJez9/dEEMLCsytRsrIEscfvhU6FckCbNgQfH5n3lv5DAdOIyP+zMx9/PP1uiwx9LdTSRZIo1FvMPZqLHQqpCrFwkcH3/s0n50wHCvAwjNV6FVYenu5i/lHqx8FeHxggVfgsUnasGCV5A0TfFGU6YjlzRJkGUZbzAhDiOat9c5/MVjQCQ6+46HbosQw1ylgCQLr5YsSQkmHmmS0ts5IVcvcvzJDoVmWWhi0owsE1sosi5GSO2HB9RuLCNJGeODLvM5UpYRBxFOe0hptU7g+eSVMq3Xtsh1hnSfHIlcpWKO2A85/WxHrCDPBM3bP3odpz0gA6obLRq31pj++D5ZkpKpGUbBRrNN0pl+pfvkkOU3r+H0Rrjt0UyrE6DoKmvv3uDJH37Iyts3aN/b4/jTHdI4JRPKXlbevEbr1irD4wFZls0Ls+rWEv5QjOKOP9lBs3TMvE2+URbr6hI47SGFRonhYUd0TxSZJIrZ+uFd/PEUVVfZ+aNPiUPRcbJKOY4+ekqapLi9CUbeFMnhQUQcxui2QePWOief7qAaOnEQIavK/FgN2yQJonkxIUlAKIEEqq6hzXQ8djmPkbeFH0+WXdpwSpMU52TA+GTwXCScZXgjl86TDsurKxSbFbI0wx+5ZFl2aTkpyzK8oYtVyc1CWC92UIRrMvPcsfnvpSIxXpJl1t658Su7Ei9Y8KuyKGwWLHjFcHtjOo8OifwAb+jgDR00QyX0AoqtKt3HhyRhjJE3kRQZzdSIvZDQC9FNAz1nIquK2HSZ6SIUVUGSxIWqeXuNvZ8+fJ7H5AVkWYZVzCErMl5/gpa3Z9s2ostyZhSTxAmh4xGMdLIsY3gg4gUqmy2MvEUcRthlsYnk9if4wwne0EU1hc7DG7pMe2NOPt2lcX2F40+ekcYJes4QoltDY+17t+g/O2bSHrD9Z97A7Q5J41QIpos2SZSw+aPXCV2P0Ul/bj6I8L7j9N4udiVPeVWkn6dxQuP2GpOTAWmWkcUJWSqCLIOpj5YzUC1RQIyOezRvrRH7EblaienQoVq0cYcTMglkVYzRkIWARZIkMoTBYuT5lNfqczfeLBMbR9ODjhB65y3SJCGJYoyCRRJElNbqHH/yTBQ8ioxmm+iWgZE3kTWVLE1p3FyhfmMVf+QS+wGxf9kDRrdNhgcdIj+8tP2UxAmD3TaFRlmEYs7chmVNBe+iIaSsigJXswzMUo4XcTqjC0XNecYnfbyRI3x+0nTmfSO21xbFzoJvkkVhs2DBK4RweX1EHIQgQWVdmPFNB2OKlSJm0ab9YB+jYJFvlJj2HdI0xXd8qltNvIGDnjPRbXO+BgxQWm0wHToUWhUkWcYbOCL8MknQbZM4CImCCN02CBwfu1qksFIjDiPh6JuJ3CAjbyGrCrl6ie7TY/K1It5oij/2xDp2mtKbuKy8vo2iKSiKjG6LImhy2icOYtIkxShYRH7Irb/4PQa7p4yO+1TWLZBk9n/6AEmSqF1fIfZD0aGIEx7/h49EJyqD1t117EoRIyeKCEmSSJMESZnFKeycUFqrU7+xwvioR3mlzv7PHmIUbCRZRtFUYWSoKoSOL1bn20MgQ89bFJYqZGnKtD+hcX2FXLVIHEREfiRGSX4IZMRhhFW0RbjoLHH7jDROyDfL2HURoJrF6WwEVyMjwxu7mKUca+/dFG7OjieStVsVmnfWiYOIfKOMP5nOYxWsUp7khW4NgKwqTIfOS8c63mBCEkYYRZv6TTFKU1QFzdTnuWPltTqhH1JYqlBfrgkB8gv4L1nRBpEIH8+yv3rPjpn2J2KEVitRu7ZEvrbYdlrwzbAobBYseIUYHXVFUQOQQRrHLL+xxcG9Z6RpJsYnpRyaqTPY68y/fadRTGmlilUUmy+abZCvlxmf9Ci0qsiqzOigw/r7Nxkf9TEKwggucH3hDNyfiItyBrmaKKDqN1Zw2kPyzQrFZTFSSpOUQrOMVckz7Tu4PSE+zbIMd+YOXFqp8/Dff4BVyuG0hxhFG90yyDfLKKpKlAZolkFpuUb30SHP/vgeZCmyqhC6/ty/R9NUYj9A1lSOfvpQ5FMlKVmaMjzoEk0D8o0S3afybGImodkGkSfGcJEX0rqzQW2rhTd0ydKMcOrTur2B0x2RxglJEIntnrUGTmdIaanG5HRAlmbEUYRVsgmnPvl6iTiMyDfL88JSURX8iUfj1hrHHz8jdH0RbeGF8w2kaW+MP3BZf/emKAqyDKtSoLhU4d7/7ycYeQujKDairEqMrMhEfsDD//MD7EqOm3/hHZJZ+KekyDRur3H62d4Vn5wMWVHmPjcvIinyvKCrX18BoP/sFEmRMYs2hVZFfLaKOaJpwOn9fQb7bSobLYpL1bkw+CovnOdPIhEHESef7T7PoAImJ32m/TGb37+N/TWlhC9YcJ5FYbNgwSuE0xle+Lcsy8iaSmN7GTmTKTTLeEOX0wd7z0cKiixGEfsdbv3F92aeMEN0y2DtvRskScK0M2L5jW10yyR0A9bevc7xJztzHUVpRRjJaZZBbXsJq5xnfDrg+p99k9Fxl4NfPEaWJTRTJ3R98k6Zynqd8XFvfqxJGFO6vUYSxDRurGLkTHKNshhJZClP/vBjyqt14jAi8kLiIGJ02EVRZQI3JJ0GaJaOrKroORN/MqW8VmfnT++hWwaxHyGrqoiWQFyspwOX6tYSzswNOJr6yJpKcbXGYOeEad+hsFyhuFojmHhEfkA4DTBsgzSKSZKU0PHJgMbNNerXljn68Ml82yyNE44/fcbG925Tv7GKVbBxu0Pcznj2OkTY59q7Nxgd9ghdX4zjKgWKqzXa9/cZ7LXpPDpEswwkCcL7e1z73Te4/V9+j8npEMM22P2Tz0iTFN0yyLJMZD8VbTqPDyku1zAsk+q1JYqtKqEb0H0hekPkhLWujD4AKK815t2c4nINpz2meVubdZkyQs8nmmmYzrpDkSfiK1p31qnfWEWSJKFHenIsoideIFfJz/LDLneUkjBmsN9ZFDYLvhEWhc2CBa8QZ7lEIL4d+xOPzqMDHMehUCyg6Cp2JS+0EGgouopm6ai6RqFZxh9PqW0tUdtaIpj67P/0IZEbzDs0/mSKJEtIsszW77xG7+kR/sQjiWOKKzWWX9ukcXMNpzNkuNumsFzl+NMdKmsNkCRkRcIfT+k+Fr4wrbsbQkwaxSLQ8ajP0cfPZmOMDNXU2f7R6zz+ww/RLJ1g6qPnTDRbZ9IdEk59IaLNm6RRQhInxEGIN3IxSjlUy0RRVeHvoouiJp6Z/hWUKlmWzL1hJElC0TWKrQq5WglFUSi0KnQeH2HkLZzeCLNgMzw4pbTWIL9UZXzUQ1aVeVfi8MMn6HkTU1HpPDmCNMOulDCKwim30Ciy+vYN2g8PZmniPk5vhFXOsf3n3iB0fFRDQzM0ju/vErg+haUK/sgliRKSMCJfK+GPXfKtMq2765ze36N+fUUUZkEk0tijiElnSBLHrL13i9rmErotujH1G8vIikx/52SuL8pVi1Q2m5ze35+Lg5MwJiOjvFSjuFqbf650y2D17W1h0nc8gCwj3yzhdkcXksTP6Dw+It+siLTvSoGl1zY5/Wz3gq+NUbCo31zj4BePXvrZdjpD4iC6csS1YMGvk0Vhs2DBK0RptYHbE7lQqqFz9PEzZE2hvr1CviS8QmIJ1t65yfiohz9xMfIW1Y0Wdq2IN3TmYYeGbbL27g2GBx1Ghz0UTcUs5tj63dcZH/WAjOadjXk+UBLH5Ovl2Vp2hqwpYpV56JDECWbeYjJzupVkmZPPdll//za17WW8kcvoqEeWCv1MGiekUUo0Ddj98X0qaw18x6O0XEOzDYy8xen9XcyCLcZEcQKScN7N0hTdNtE0FbczIA5C0iTFKuYIXB8jbxI4wmSwstGYeausIMsS1syYL82EsHfaESnocRTTvLXO/s8fUlyqzo3pWnfXWX3nJpIiMT7pU91eRpLAH7tYlTxSBpXNJbyBQ3mziT/2GB50KK3UMPMWcRwTuj7Dgw6P/v2H1LeXKK81CIOQaBqIEc7MwVfREuzVOm5/TOSFuN0RsRcxOuoT++Hcffk8/sjFaQ9RNZXGjVXxudA0mrfWKK/WiYIQWVYwi/YsZsKit3NK99E+WZqSb5QJ5ZR4GkD+eQq3ZhlUNlrzsMnu02O8oXvlZzKNE/yRi1XKIUkS1c0WdjmP2xsLEXvBwq4V53ETL2VmLrlgwdfNorBZsOAVorBUoXAqYgciP0RWZCobTY4+ecbwyQnIMtXNJv3dE1beukYprQvDOUvHG86Ew7nnOguzYLN0d5P6tRXiIGRyOmSw1xaZTVFMZb1Jkoqtp8bNNXINIfA08zaaqTM5GZCrFcnSTJjJpZnoSFjGrHiJ8UYOK29f4/AXTzAKNoqu4fbGRIjtndgLqG4t0X16TPvRAWmUoOctyqt1FE0R4uhpgKIpSLLQfESeiGE4ebhPeb3J4QdPCKcBlfWGcFSuFUU4ZrlAebXB+LhPEopOzvEnO7Re34Ikpff0hND1MYs2rbsb3P2vfsB0MEa3TVRDxyra7P7JZ8iqQmmtDmR0nxwLj553rhOHMZEXYldKZHHK7p/en5naZeQbZbyhQ3G5Ru/pCZIk0d89xRs6rL57g9Jqg86jA9yuyLBSDY1Je4A/mbLy5jW8sYtqipyt409El0uS5gtoAJRW6mRJynCmd1H153+yxXt90TcmnPoMD9roBRs9A9/xODk+hmnE1g/ukqsVSdNUaItmIZnAxSe9gvN5UZIkCsgzHdGFz2+rwuCc99J5Ssu1C8e/YMHXxeJTtmDBK4Rm6Ky8fQ3ndEB/t011o0X7ySFpnJLECZDMdRGdB4eiGxGElNcaQh9zbfliiOEMSZboPDmiv3NKMJkSOMKnpPPokJV3rlNarjE8aIvMpVaZ8kqd8kaLyAsZHHRQdXWWtSTNIxRkRSadiXRlWSHfKJPECbptMB1IqLpKlkFptc5gr0P/2YkYRzkewcSjvFpn0h6y/PY1Og8OmJz2UVWFXL1McblK5+kR0iyksfXaJt0nRzjdEflGGdKM0lodSZHpPD7AG7gkYSQCQWVw2wN6z07EObUNFF2lv3NCMYiwSjmKqzWGex32f3YmSk44vbdHZaNB/foygeNx79/8FNXQ0PMWRs4k9kOadzdmfi8O/sjF7Y2FIWHRhjRDVhUCVwSH1m+siAyus/fW1Jl0hjRvreN0RJ5TFqfk60XMYg5/7KIaz7eUVEOjfn2FwBHp6WkUwecUBlma0d85FaOss5XsWUGSRgmjox5xEDLYbeM7HoqmUFlvUlqtieN/sao6++zMBMZfhupmC6c7IppeXEk38hbltcaXeowFC35VFoXNggWvGJqhU9loodkmRx89RcogjmMkEeNN/9kxy69v44/EiEhWRdGx/OY2lfWrLx7TwYTBzimTkz7huYtOlqY8/r9+wa2/+B7T3oQsywgcj9FBl7V3b9K8s874tE8wFmu+8mxFWFJkmrfXkCSJ0modzRYXfqc7IgNy1QKRF+KNXXK1It0nRyiGJoSlGSAJv5mNH9xBNTUKrQq168tU1hrEUcLJpzvzTkcUhNSurXDtd18nyzKKS1W8oUPnySHHHz2jutUU2iEJ/NGU1p11jj/dIfICcrUimqnjjaYkYcTwoMudv/w+/cfHHH38jMgPyFWFo66sKvR32pRW6xx/skOWCpdku1rA7Y8hg94ToTeRJIlpb4xRsHDaQ+o3Vxkf9+fn1Rs6ZHFKebVOebWON3KxKwUqm01Gx+J8Lt3dFK/PD1n/3k3GJ30mJ30kWaK0XKN2bZlotiGnWQaK/vnalMgPcPuTK2+TVQWvP6H39GguGI99YbY3HUxYfmOL8lqd4X7n0u9WN1tYpcvdmauwynk23r/N6KgrTPskieJKTYzuCl+uOFqw4FdlUdgsWPCKYlfyczGxLMtkSYIsSyRhTO/pMVrOYPWta0wHE3K1Ina1gKwoVz6WN3QIXf9CUQNiWyVwfSbtIXrOnNvsx0HE8KCDWcmzdFd0S9z+RHRuLJ3a1hJGzpp3fsy8haTKhK4vRmiqKgznTH22vp2fjYoCkMAsWBgFm4OfP6Z1d4M0SYi8kCiMGO110G2T6lYLpz1EVhSGe23RDcoZWOU8g/02SRCTpSmTE+GGfPKxMPvLEGnjZMKELvJCgsmULM0wZwZ/Rx8/Y9qfCMfmKCEOAvLNiijO2iOu/9k3Obm/z+igQ5qk4nGTDH8ypXFrjcgL0HImhiLPvYAkWUJRFYyCLYolV5zL6dAhCSKiIGR8MiAcT9FtYy43ydKM0PVZurtJabVGFmdkZBciD6qbrS+MHpAk6aVGeHrOpP3ogFy9xIv3GB/3Ka02WLqzgZG3GOy1icNIFNibLcrr9a9ksGeVclilHI2ba0gSL/1MLljwdbEobBYseEWRFYXSap18s0ycJiTTUKRNK7K4WLc9pgOHyam4+HcfHbL23s2XCDglgqkvxLkzwzsQBQyI1d7z36iNvEXn0SGSDJppULu+TK4qEsStok2aPr/w5mpFhkddFFUlzTLcnuhuqKZGdWsJPWcyaQ+obLZIonhm1y/hDV3c/pjYCzj4+WPyjTL5RhFFVzn54AmFpQq17SUUTWV42EVNUsxijs7jQyaz6IAsE2Gd+aUysqbMLsAinsAs5dAMjdEsmVpWZYy8RTJbNwfEarahotvmvIhJ4gRv5KAZGrXtZeHma+oiFT1M8MdTOo8OkVWFyAuoX1/BKFhz7VESJSBLRNOQSXuIXSkgl3KQZay8eY2jj56gaCryubGSauhUt1q4XYvOk0PImL9Xte2leYjl56FZBsWlCv2d08s3ZiJ883xQZRInxF5ImgoNT75RonFjlcp6kziMUQ3tV9LEnN/wW7Dgm2RR2CxY8AqTb5bJNyu4sU/VbOJ0hjjtodCurNRm7rQlJEliciqEqVbxshW+ZmqiO+NMkRUFPWeKnKZMrJWf5SmB0KToORN56GAWbdIowTkVF+jp0KHz5IjSUg1ZE2vSuVqRnT/+jOFhFz1nsvH+bdI0RZZl9IIl1rOdgEKjjF6wiKYhw/02ZtGisnEXRVcxCjb1a0s8+6PPsGtFCq0K0/6EJEootipi5ZsIq5rn8IMnZGmGoSroOYssSQgcYd+vmjqyKmHXiljlPEbeQrdN4RFjG0ReQBLFWOUcoeuRppIYK50ZFEoS+Xp5biq3/PY1sjQliUThkM18bxRVEYLaLMOuFjj5dAernKf9YJ/6jRUKrQoAum0wOupSWq2jWyLlfO3dm4SOR0aGJMvkakUaN1axKwWMvCiQRsc90jihuFSluFL70kGRlY0WTmeEP54S+2KbTJdVVEPFLD0vXAPHw5kFfAKYRZvDDx7TmnVtFivZC77NLAqbBQteYcyCzdo71+n2uhh5i2lvjJ4TcQr16ys4XeENkkYJqqmTxpeN0ybtId1nJxSaFaEDmYUj5mtFzIJFZUt0UtI0xa4UmLQHHP7iMd7IpbBcpXFtBSNvipFXvUhppUplvYlVzmOWcuz86T3k2RjK7Y0ZHXTnz63oGmvvXqd5Zw1V13A7I7rPjgkdj8gPsSouVjHHa//vH/Dsjz9l2p/gj1yW39pm4/oygesLb55ry0RewOioh5Ez8SdCgGzXirTurNN9fMTSaxskUUyhVaW4VGPvx/fxhw7RLJog8kMat9c5+uQZjeurDA862OUc095kJmr20W2DfKPIYPdEuCl3RtjVIv3dE+rXV9Btk/7uyVwkvfbeTcYnA9zemMpGi/Xv3yFXLcxE2i6FVnWWXt5HsiW0mSA4Xy8Tej6SLGMULGRZJo4i2vf26e8+77hM+xPGx31W3rmObhl4I7Ear1r6lZoVq5SjeVt443iDCRmQr5WwKgW8gUN6FntwMiA9F/9glXIzjZDE2ns3kF8IwFyw4NvEorBZsOAVJ9co0Xxrg1a5QWm5RugFJGFE5/Gh+OY/a7bYlQJJGF343TiKOb23i3M6RFZk4ZB71CUJY1RLZ+1dYTZX3VxClmXaD/eFR8zMhTj2Qo4/3aF1ZwPV0IimAdE0YOl1e77um4QRyiyJ+myj54w0jsnSWWeiWqT37GTWRTHQLGPuQBxMpkjIoiuSpXh9h9r2MoODLqErXqMsweioR65WwCrlCKdijVu1DVqvbXL4i8fY1Tzdx4d4I5f6jVW8sUs48ciylPXv3UKSwOs7nEZ7bLx/G9+Zigu6BM1ba9SuLdF+ckRxpUY0DfDHLpWNJo1ba1Q3Wvhjl+bNNeIwxu2N2fvJA1RDwyrlMAoWk9MB93/6gNJylciPcGdF08b7t6luLWFV8qiz7otqXuyKTE4GF4qaM6aDCaf395BgHvegaCrl9QaN6yuo5vMtOG/scvzJM7I0o7q9RJZlHDzbw3x6TL5eYtIeiGiMc0VNea0+79hNTgf4M6HzggXfVhaFzYIF3wLc0Ke4UsPIWez8yT2GB22CiXfhPuW1Oqf3dtFz5vzbvD9yGR50mJwOZ14kGXrOQjN1tJxJ4Pjc+M/enq8ve0MH1dBnHi3PDdt6z45ZffsacRCJMMxz/in5ehl/NCXfLBNORdF1NtjK1YrolkF5tY7THlJolsmyDKc7xOs7jA67JJFYYZdkISqWNZWVt7bZ/9nDmZGghFEQq9CNGyuohkZ5vUl/7xS3M8TuFTj48DH5ahHV0Nn76UPIwO2OWHnrGuVba0xHDns/vc/yG9s0bq4xOe0TuFNW3tqmdWdjZtgX0d9to2kaSRRjlnLUbqyw9s4NTj7dQdFUjj9+hiTLwrRutimmqAr+eIosyxx/uouiyBe2pqOz4vDuxryouYoXN5LSJCF0hBi78+SI1m0RjKloKkkkBORZmrH8xtZcV+W0h/NV72DiCQfiOCGNEwLHY+m1LY4/fkrg+qi6KI4008Afi/c6S9O57mrBgm8ri8JmwYJvEXa1QOu1dcYnz1eLVVOjfm0ZPW+SJdl8pGAWLMJpgNMenTNYkwhdnyxJCRyPxvVVattLZGnG/s8fUl5vzsW1kR+SJQnKTG+RJkKD0ri+inrOK6e4XGWw18Ys5uaxDmmaIskyq29dQ1Jkiq0KoyORKyVJEmmUMh06InQxCEGW0HSD8elAdCEsY17USIq4aAeTKYftAWkc81o1L7a28hbj4z6aruH0xuh5a17UyYpM+/4+XsshDiIM28Qu5zGLOZbf3ELRVPrPTlA0ldD10fMm/thFVhTSJEEzDfK1IuOjPoqukiUpmm3iDx2scl4UNpJYpT7zoSETm1eX8pJmAZwvW3lO03S+2g1C2Ds5GRDOBN/T/oTQ9Rkf9ykuV+camOFBh8pGY76O7Y+udg8GCF0fI2ey/Oa26LZlwtDvrKg5e28UbSH6XfDtZlHYLFjwLUMzdGrXl2nIK2RJhqRIyJrGYPeU8UmP0nIdtzvCLOUw8iZmyWb6QgaQNOsqnDnXSrKEbpkEE4/pQHih2JW8WN8OQiE4tkwaN1YpvrChY1cKrL9/i/aDfWHrX7Qhg9r1ZYrLFfL1MkbOwizmcPyQJIqJvAAjbxH74rHNgk2uWsDtji5enCXQLVMIewFFkSFVyGKRMp4mGZqhMT6JkGSJNBaGgaqp4U88siSl0KoQTQPsaoHA8RifDGjd2eDJH36E2x2jGhpmKcf0wYSVt64xPuphV4tU1kVwpFUpsPzmFocfPqF5a43jT56JpO9GSZgTairNO+sEjodZsMWI7dxITtFUzFIOLsuf5siyjF0pEDoixDKYTAmnvtDeBCFW0SYKQuIwwhs5FJpCnCyCP4N5YXN+LAWgGBrV5QbWLEFcVhXsSoH2/f0LWU/z93Imul6w4NvMorBZsOBbhqypc8M8ALOY4/SzHbyRS217mWl/zM6f3iNLM6xKnupGC1lVZlEAzznThZyh5Qy80fMCKE1T9JyJpMjY1QK5ZolcrXilsDRfL826GK7QcCQJSZAgIe4ryRLVzSZud0iWZnOdyNm2T/3aMnEQsfnDu7jdEbptkquXSIKINM0QC0jC2U/PGxRXaqimThzGSBIcf/JM3GYL80AycdHXZ67DesEkjmKMvM3Km2XaD/ZxuyPh4pyJEE27nMftjtj84R0Ks20vVddEDpMksfn9O3R3jqisN4j8kDiMURQFJKFtad5aQ5al2etPn/v15G2hK8qbl87becqrDUZHvQtjrizLkBWFymaL4YEYVQUTD7tSmJ876ZxPTKFZpv9MCJ/Noo03cjn9dIeRZmAULCRFZum1TZbf2Ob4sx3S6HlnySzlWHptc+E7s+Bbz6KwWbDgW4ZVymFV8iKJWRJajOnAobzRpP3wQFj7z8YJbmdEEsY0b4kcqNiPAFFU2JUCuv38YpvGMa07G5zc20XVNULHwxtP0Uyd+o0V9n58n/Jqg9V3b1zQ2JwhKzL+ZEr38ZFI6o6E1kM1dNbevU6hVWHlrWuc3NtDVhWhYylY1G+sEs+2slRdZe17tygtV3G7t3j6nz6dr1WncYKkSNSvrTI87LH7x59hlcUWkF4Q8QSjox7Lb2xx8ukOSFBcqc0FtytvbrPzx59Sv7k677RkSSoiCGDubVNcrmFXCxQa5flrS6KYSXtA99ERg91TJEWmtFyluNokdKbolk51o0k09ZkOHBEKyfNQyNr20hc67+YbJVbfvs7JZ7vzDpVqaiy9tkXv2bF4/TAfnZ2lovsjl9gPsCpFcrUSzTvr9HdPmfYndJ8cCV1OLoddLTLtjTn84DGbP7jD9u++jtefiIIvZ2HXClfGcSxY8G1jUdgsWPAtQ9FUll/b5OCDxyRhIgzvFBkZiTSKL4wjznxS3O6I0AsJHQ9ZVSi0xHjIrjwfO8RBjKIpbH7/DtP+hOFhl/JGE83UGey2ydWLIpph95Sl1zYvHdfkZEDnwSHeaIJq6NiVguhs+CHHn+6y/aPXqKw3yTdKVDeacz+eOAjRLYNwttqdq4nMp9ZrG6RJynCvLTKZSrn5yvXezx7gj10iP8Ao5WhcX2XanzA66qLbBtu/+/rcadks2OTqJUZH3bnBIWRIME9CP08SRpe6FoO9Nqf39lA0lXyjzHTgMNjv4vYcNn94h8pGk1y9xMo71+k9OWZ80ieNE5HftbVE+SVRFy9SXq2Tq4miyhs6SDNn49JKDX/ooOjafFQXuj6N22vc/7c/Jd8oYxZzrL59jfq1FTRT59G//wCrnEfO65QaVdRZJEMw8XC7YyobzSs9jxYs+LazKGwWLPgWYleLbP3wNdz+WFjg+8JB9kWNhVG0kCWJw092yDdKxEE0M/MbYuSFyPVspGGX8/SeHiMrCpEfoOgqbm9MEsZIsjS/MA4Pu9S2l9Cs5ynik/aQx3/4IcNzHjaSLLH02iaqqRFMpkyHDsVWZe5knCYpo0NRbBx88JgsScnVSwwPOoyPe9RurFC/viKMAftjjJJN6PgcfvAEtzNCkkS8xLQ7JktEKObS65toho5m6TMX5BGTkyHdJ0ezY5LRTANJEdEH08EEnuuqQUKEeYaxcN/VVUIvmAdqniVbG3lLdKQkSXjf1J+noq++fZ369ZVZYaNfEFp/GTTToLRWn5v0gdDObP+ZN+g9PabQLCOrCmma0t85JY0TJqcDFE3l8MOnbP/u6zA7zizLcE5OLhn8+edGmQsWfNdYFDYLFnxL0XMmes5EswxCxyM+S3Q+R7FVpb9zilmwxLd3RQhINUMn8gLc3oTymihQ7LrIm0qjBH80xZ88v/hZpdx8EydL0gs+KGdeOaF7MYcqSzNOPttl4/3bxH5EGj0/PlXTWHptk0KzzOM//Jh8rYhq6vMLsDd0ePjvfsHKm1vIukYw8YijmM7DffyxK9bDJWk26hGxCsW4gpGzRBGSpYRewPCgS+v2OmY5hz90UVQFWZEpNiv4I5dCq4I3EGGikgRLr20gqzL+xOX4sx3KK3VkVSbyLr42JFB0FVlRmF4RPGnkrUs/+yrk6yXW3r1B5+Eh3sgh9kOSnIGsyJTXG+z86f0Lm1dxEBF5AbIi4w3G8022l6H8ClEJCxa86iw+3QsWfMuxqwWqW0tM2gMkSZqvdsuyPLfx10wDs2DNk53P8EYO5bU6ILatVt6+zmDvlFxvhD+ZoqiKcBguPx9ZGAXzQhfCHzj44+mVuUJZmhGMpyiacqHDA6L7EQeRCNY897tpmuL2J8RBJHKXkBgedlAMDUmSUQ1t7tVCliFJMlEQYtcKjA67GDORrmLoeAOH9oN91r53C03T0GyDNEmxawXW8jc4/mQHu1ogI6O4VMMq2YyPB4yPe6y+c51pf0Jta4lJZyg6MKZOEsXz51dNHbv6y5vZZVkmcqwU+VLG11lcxVl3xemOmPbE2veldXKY/yzyI/ScSRInuL0xaiLNQy1BdNJyMw3QggXfRRaFzYIF33JkWaZ+YxWzkgckjj/bQTN0jJw515TkGqVLRQ1cDio08xbLr21hFmyyWUfkwn0kierW8oWfna0Na7YxN487TxxFVFeF6+6LXHWBToJ4bhKXJilkMcXlGu37e7Re2+Lo46cYBUt0gWaJ36V6Q4hkzwdL6ir5ZhmnM2I6mFBZr88ypYQYuHFzjcJSBW/oEnkh4dSnv9fBaQ8oLdc4/mSX1t11hgcdjJyJ2xvjdsf4Y1ccnyQiElp3N3D7E3JfocBJ05TJ6YDBXofQ9dBzJpX1JoVW5UJQpaKp8yIknIpjlzVVjM1ekAfJs/ckiWL2fvKAfL3E+KjLpDNAClKKS1WMvEXrzvrCWXjBd5pFYbNgwXeAs/FKvlakeWuN8UmfOIyxyzn80QpxGIkL4bmmgCRJ8+2dFymvNZBkmc7D/XkxoFsG9RsrFJerF+6r2fr8olpcquJ0hnMfF0mSKK3Uad5cu3JNXLONSz87j2oIsWxta4lpb8zoqMvqW9fmrrul1TpG0WT57Wu4xwOyF+okq5QDJGI/BFmedStKNG+touUsvHsOO3/8Gd5MkKuoCoVmhSSKif0Afzwlcn3q11eIvID+zilJGCMrsvCI2Vri9P4eiqKQq94GRNESjKekSYpmaui5i2OpLMvoPTnm9MHevDgJXR+nM6R5a53GzdUrE9pz1aIILE1S8o0yTnv4/DzpKpqlz/RRIZptksYJmz+8S7ndJ5mGmAWblbevUWhWZynoCxZ8N1kUNgsWvCKEXkAaizDLz7Pe/zxkRaHQqpCrFxkd9ejtnGCVcxx+9BR1lqIdhxGxH7H8xpbQyyTJpS0gSZIor9bJ10tzZ1ojb10aJ4Hw0Smv1envnKJZOuW1OpEfkaWp8Ea5uzk3AnwR1RAZU+PTAaquoZoaiiEu0mbBnq89T4cTlt/axh9NxXNsNJBlhSxNyTdLjFIfzdQJQm9evCVRPOviKBSWmiy/sYWiKBhFe15k5WZGfJptCO2wLJOEYvU8DiLht5PTSeKEymYLJJnpwEHVFIrLVbyhy3Qw4fjTZzRvr5GlGacPDuZ+PYquUdtuUd1amouv/fGUzuPDSx0XMug+PqTQLF9pkqfnTFbeus7RR0+oby8DIkJB0VQKrQpWKU9ptc7un9xj0hnOHjNDLhhsvXtrZtIoLYqaBd95XunCJkkS/of/4X9gdXWV3//93wfgww8/5B/8g3/A48ePqVQq/PW//tf5b/6b/+Y3fKQLFvzyBK5P/9kJo6MuaSJM8WpbS5RWa5cKDm/k4nZHBK6PbuvkaqUrxwr93bbwckGMKFbfuU4cRPSfHWOVC9S3lwmnAbs/vk/j5iqNm2sXRiBnqIZG/pyfy1VIkkTj1hqSLDPYb5NGYORM7FqB1p3NCyaAZ2RpRn/3hPaDA/S8iW4bOO0h0WycVF5rUF5vPO9KZBA6PlYlR/PWGv54Ol9l12yDwb3HaLpGf/cZmmUgSRL+ZDofkxWXqgSOR3W9deHCbhZtzFIObzwV3jDnj5EM3TawyzlkWaLz8JDhYRcjZxJ7IpLirFPlzcTW7QeHhO7zDK8kjGg/OCBNMpbuboj7Dp0rR3AgRm/eLLLhKgrNMts/eh13MKG4VieLEuEabRsYRZsH//bnz4uaGePjHsfqDo0bKxcE3AsWfFd5pQubf/yP/zE//elPWV1dBWA0GvE//U//E3/zb/5N/rv/7r/jJz/5CX/jb/wNbt++zVtvvfUbPtoF3wayLCONQtIwIMtSZFVH1nRk9Tfzv0LkBxx+8PjCZo0/cjn88AlJFFO/vgIIHc3kdMDxR88uaFhk9YiVN7cprz33SQm9kN7T4/m/0zghjRIRhIlElmbz0QtA5/EhdrVIoVn+0scduj7hbAvHLObQDJ3l17eobDSJvRBJVbBK9ktdbJ3OcGZElxFOA+x6EbJZMZGzUDSF3uMjKpstgsmULBMhn+X1JkbOpLQ8e21pyun9PfZ+8oDNG1tUNpsMD7qMDrvotolmG9SvLUOWcfLxDpquUVx+HglhlnJUt5Zm4Z3xhXPbuLZCrlYg8qPZfW3S3QRv5M5f9/xxCjZxEF8oas4z2D2lvFafdaEue+ec54tuP9uGe5HxSf9ScXaGN5iAJKFe0XFbsOC7xitb2PzxH/8xf/AHf8Bf+kt/af6zP/iDP6BcLvN7v/d7APzoRz/ir/yVv8L/9r/9b4vCZsEXkmUZsTMhcs+v57rImo5WLKNon78i+3XgdsdXrgsDdJ8cUVyqopgalmZw/MnOJWFuGiccf7KDWcrNnW1D17u0niyrCuOT3jxqoLxaf35jJgqNL1PYxFHMYOeE3rOTuSdOrlakeXsNu1oUx3DOYTcOY9IoQtG1C14qw4Pu/AKuWwb7P3s4767IqkJlo4lqiq2mjR/cQbeN+br5ebyBMy/i0iSjtNbEKhfI1UtIQL5VJo2SuU6ov9sm36rMR1Fn3SbNNOg+PsDtTyDLqGy2KK836D4+Ip6ZDNa2lji9t0cSie2os86PrMjUb6xcXgk/RxLFhK4IwTSLNpIsXVnASNIsa+uXIPbDlwq4z45zIRpe8NvAK1nY9Ho9/u7f/bv8k3/yT/jn//yfz3/+6NEjbt26deG+N27c4F/+y3/5lZ8jSa5uBX+dnD3nb+K5X3W+iXOThgGhM7783GEAkzFZsXSlaPPrZNIZnkvevkjkh3hjF0srQJDMQxFfJA4j3N54LsTNEJ2P8xqONElgdiE9vxJ+/rm+zLnvPT2m/WB//u8sy5h0hviOx8YPbs/9W+IwYnTYZbjbIY4iNNOgutmisFJFlmW8kUOWZUiSRDgNLoxmRIdJCHSjICSYehhF68rjc7ojUGQa60u4vRGjwx6hO6WwVCGchowOehdGYd7YJfLDC0WSJEtUtpoUlqskYYisCo0PiK2kzsMDvJHYnNr84V16T47Jskx44qgydq1I8/b6zEn5c7otskSSJOgFi+JKjeF+59JdSiu1l77WL0KaefQUlipM+2PSKCEDlEBFz1sUl6pkZIu/PzMWf49fzqt6br7s8bxyhU2apvytv/W3+Kt/9a9y586dC7e5rotlXZzXm6bJdPrVXTQ//vjjX+k4fxV+k8/9qvN1nRtVVanaJqFzdXdEkmWkXJH+aHTl7V8HiqKQ9Xy6JycvvY9+UsI52sGKVdrt9kvvJ9csdnqHAJi6gRt5TLrPX0tVahDEIZEfIhcNTl54TqWZ48MPP/zcC3NOtzj94BnhSzoTSU4mMDN0VSM6mdDdufgcOw+fsHRnA6VuM/UcBicdsc1VLOI4z8M3FU1FnoyJhjOvmMM8T0/2Lj2fJEkYHkRxxOEHj0mTFMM2CcYe7adHNG+to5esC681Vyny5OkTvODqkc2Vz1HV0ctlkizDXM6xtlZm/KyN259glHMkmszH/+HHrNzaot1uXzAvPP+8++0j/P2nAFi6gVQ1GeyeEvohmqlT3Wwy0SPav+T/A7ZuMXInJG5A7AdEU/E+2aU8WsWiMx2y+8HxFzzKbx+Lv8cv59t6bl65wuaf/tN/iq7r/Pf//X9/6TbLsphMLl6YfN8nl/vqeSdvvvmmSOb9BkmShI8//vg38tyvOt/EuQkHPdL8yz8rRqXGxvb21/LcL2NyOkCdXr4QgliF3rp9HUmVefbZI5rN5pUdG4DVrXUKS5X5v93mCgc/f/w8iFLXWH/zBuPDLrlG+YJQWLcNNl6/cSEQ8yrc7oioNITS1bfnFJM7b9/C7Y7Z3b3H0tLSpfvIk5jNN9aISk32E/E+m6Uck93nUQxWpUCuViSJYiRFZu3axktHKJPjPh9/+J9Ik5RcLoesyBg1nUl7yGivza3/4j0s0yTyQyIvZHlzjVK1jl3Jo+ifP3pMk5TQ8cmyFM025yaC3cdHhLaNlc+JKIskRTcLRP0pt9577UKsBIhCbfXdG+Qbl09c/F5IEsQohvqVoxeuYpivcP/f/owkztB1nSzLCP2Arc0VWhubc/PCBYu/x5/Hq3puzo7ri3jlCpt/9a/+Fe12m/fffx8QhQvAv/t3/46//bf/Nn/0R3904f6PHz/m5s2bX/l5FEX5jb1hv8nnftX5Os+NahhEcXT1jbKMrKovFbt+XeQbJcprDUaHFy+GkiKzdGcDwzZJkoRIySg0xIjhRaxSnny9eOG8FVtVtn7nLuPjPk53iKJrlNfqVDdbjA67Iv/pTB9zZwOr8MVfDhRVFSZ/L+nqaIaOoigEkykS0gXPnDOyNCN0fEqrdVq31+k8OYIso7hcZXwywCxYqIbG6LBLHETUb6ww3O8gI5GrX11RnY0PxYhNxAVYpRxxGBPMgjWdzojqVotw6nPws0fkm2VW3tx+aTHn9EZ0Hx7i9sdkaYaRN6ldWyFXK86zuV58/tD1KS3X2PzBbcbHA2I/RC9Y6LaBN3CIXJ9cvTTz1pmdU9uCX05Sc4k0SXFOhyzd3SSNk/nIbeJOcHtjnNMBdmnt1/Nk3yEWf49fzrf13Lxyhc2/+Tf/5sK//87f+TsA/P7v/z6DwYD/+X/+n/nn//yf83u/93v87Gc/41//63/NP/kn/+Q3cagLXhGyJCGJQkgTkGRkXUdWLn+0ZcOEqXvlhVmzcsjqNy8eVjWN5de3yFULDPY7JGGEVc5TXm9cWLMOwoBrb96hc38fpyM8Us4M9pZe27zy275dKcw6Hc+TuCtrUN1cIvYDJEXBKuWuXPO+CrOUw67kXyp2Pt8x+jwkSQhZGzfXyM1SrCsbTSYnA4aHHYb7IhizdXcdzTIYHXRx2kM2f3DnUudGVmTyzTJBHCInElmakiUpxZU6siKjmzpKo0x1a4k0FknoIPxf+jtXp5R7I5eDnz2aux8DBI7P0cdPWbq7daGoeRGnO6J1d4PiUg23P+bogyf0z20qyaoy32LLsow4jJAkmcCdMjrsMe2JnKfyWoNCq4z6FQTtoePh9sdzEbYkSwSOR/+ky9LSEuOjHo0bqwsfmwXfeV65wubzqFQq/LN/9s/4h//wH/KP/tE/olqt8vf+3t/jd37nd37Th7bgN0QahoTjIem5ToysKKiFMqp58du4ohvopQrxZEyazLZGJAnVslHtrz7O/HWhzhxsyxtNsjRFVpQrRcxGzmT9/VsitDEUfi8i2PKrfaMyCxZc4S3zRSiqQuv2Ovs/f0wcXLy417aX5tb/Vjl/pUAZxIXdmHUsJFkiVy3MowgqG03Uj3SKyzWyJCPygnkhkoQxw8PupcJGz9ti9dlSKVeqkGbIqiL8ZTKwKnmczgj/3Hr7GcPDLtWtJfQX3I/HR70LRc2cDNz+WFRmL+tazdLV4yDi6MOnBC+sX6dxwsn9PTJEceX2xkSeSFI3cuY8F8rtjKhstFh6beNSMveX5YvWxhcs+K7yyhc2Z8Z8Z7z55pv8i3/xL35DR7PgVSJLU8LJxaIGxAZQNBkiq7VLXRjVtJA1jTSKgAxJUZFV7RvfhroKWZbhJRqa8/f5JgIMkzghdDyyLMPIW/OLa65eYvN37jA5HTDtT1B1jcJShXy9NL+PXclT2WzS3zm99LiNGytYxauLyMgLmZwOXmpe57SHJFF84UJvFixq15Y53D9A0dQL72OuUSSJkpeb4UXxlbe9aHB3Hm80IVcr4navFpmXZmv008GEwLna00YzdJ79x0/QcyZpkjLc7xCHEXa1QP36yrwIG+ydUmiVKS5Vr3ycF9HzFnalIDbFrqC4Ult0axb8VvDKFzYLFryMNAxnBYogS1OyNIEMpCQmCYIrx0uyol45qlogmJwO6Dw+xBs4ZIi8pcaNlbmxnVXMvbQ4AdExa95ZxyzkGOy3ifwQI2dS2WheMMd7EUm+nHB98XHlK4M8q1st1kc3UacpoRegqArltQaVjSYnn+6+9PE062pvHOVzzBqTMKH21jJJHOMPz3WBJKhtL5OfeQFd5SMDoOcMBvttkkAkcMdBKHK8gGl/QrwaIiky2WycND7qoedNFE2dp3O/DFmRqV1fYXqFs7GeNy9lfC1Y8F1l8dd9wStPliSkaYokSRccgrNza7VpHJEEwYURgWy4KKa5KGK+Ak5nxP7PH124MHpDh/1fPGZDlim0vpyORtU0qlstyut1kjhBUdUv1PLotkG+Wb4kpD6jtFq/8jFkRWGqRLz5O2+QhAmKJqOZYrxUWW8yaQ+uHMtUt5auLGzKazXc3tVdj3y9RKFexizYuL0x3sBBVmXy9RJ2tTAfC2qmfuXIStFUnM6IfH3WdXvhsMYnAyrrDbyRiz9yydIMtz9BkiQqG00q6w1U8+UFTqFZZuP92wz2TnF7Y5CgeXON9XdvzQ0cFyz4rrP4i7/glSVLUxJ/Sjx1SZMESZJQrRyKbSMr6vzbe5YkJIF/Zahg7EzQiuVXYtT0qpNlGYO99pXjmSxJ6e2ckGuUXrpyfhWyonxpDZAkSdSuLTMdTOYeLGfYlQKlz+n2ZJnQ1rzY1ci3yiy/sU37wf5cNyNrCrWtJcpr9aseikKzQnGpyvikf+HnmqWL5G1ZQrcM9LUGlXNRFuexKgXy9RLOi2OtTGiVzsJEFV0UfGeCX0hJsxS3O8IbuZTXG4RTUbCf3t8jdD2W39y+cE5F8TPG6QyJgwirmKNxa42WqpBlcO/hvSvzuhYs+K6yKGwWvLLErnMh/iDLMiJ3QhJHGKUysq4haxpxGFwqaqSZADf2PRQ7h6L96h4h33WSMLpynfwMb+gQe+GFnKI0ERlUo6Mu4TTEruQoLtfIv2Q1+4uwy3k2vn+b8XGPyfEAZJnyap3icuULfXauQpIkqpst8vUS3lh0QM5iDV6GauqsvLlNoVVhdNwjjRPyjTLFpcqFfKjPQ1EVlt/Y5PhTIQQ+E1KfbXuFrijcFE29oIsptKr4Awd/7GJXCjMR9PMP9/CgS2mtMT+/WZrRfXJE++H+vCs1pINm6qy9ewOzkn/l3GMXLPi6WRQ2C15JkigimjpX3pYGPkkYopoWeqFM4l8UacqqilYozpKMM7jCCfbLkGUZaRwjAZKqfve7PrL8ueMiSZYviE/TJKX98JDu48P5z/yRw2C/w+pb1y4Ec34VzjQ8zVvr4nl/Def9ZcGRV5FEMf5kSpamVNYaWOX8l/7d8xh5m433bzEdOMR+hKIrWJUC0/6Yg589mndprHJObJGRodsm3sChurVEoVlmOrj4/0CWZQTj6bywcfvjC0XNGZEfcnJvj40f3P7Kx71gwbedRWGz4JUki6OXrtQCZFEIpoWs6+ilCrJhiQJGEsZw86IG6Qs3ja4iCXwi1yWNZt+sdQM1l0fRf/3pyKKAisiSGJBRNA3pN2CKpWoqxdUanYeHV95eWq7ORyggNn96T44u3S9LUk7v72PXSujWF3fK/MkUtzsmnProlkGuXkTPWXjDCZEfoWiiIFB/ybXnr0LgeBx/uiNGSLOPn2qK5PLSystHYS9DVpRL3atiq8r6+7fp754y7U+QZIn69RUKKzUUWaa8Xqfz8PBSUXPG+eLyzNPoKryhcyHFfcGC3xYWhc2CV5Mv+pJ+7lu8rBtkL8mAUkzjKxvvJYFPMOxfKKySWZfIqNRQ9F/fWCtLEiJ3QuxN588nqypqvohqfvO6iPJaE6c9xBtevCAaBYvKRuvCz6b98SWvmizLiLwQpzMiV9/DnmlNXtbxmJwMOPjwMUl4botIEmGQYr1bjFHMUk4YGX6Nq+5ZmnF6fx+nPbzw89gPOfzwCbptYJXzv5bnKjTL5OslIj9AkqW52PmMl62oS4qMec65OLnKb+dLPM6CBd9lvvpX2QULvgFkVf/cTot8TjMjazp6sXSh2AGQdR0tV/xKo4wsy4hf4k5MlpJ4v95vwJHrXHq+NI4JRwOROv4NY+RM1t+7xfLrW9hV4Vy89NomG+/fvqRLSeKLI74sy5j2xgwPOkwHE6YDh6OPnrLzp/eYDi93H0Iv4OiTZxeKmizLGB102f3T+2jnNDX+yOXwg8eE7pcLr/xl8EYOk/bgytvSOPlcf5tfBkmW0G3zUlFjlnLUb6xe+Tv1a8tYpfy5+7680JIVeW4YuGDBbxOLjs2CVxJZVdHzBcLx5bVb1c4hn+uaSJKEaueRNIMsCsgyYbyn6DqS/NVGOlk6i2d4CUkQkCXJr2VUlMaR6NRceSAZaRB8LaOvL0LPmdSuLVO7tvy597PLOXrn/h1NA9xZ3IKiqUL4ishQaj/YZ+P92xc0PF5/QvRCUnjsh4RTnyxj7uVyRjgNcHujX0rv8mWIg+jSc154/pcY7v26kSQxmjLyJoO9DqHrodsm5Y0mxaXKhVFUrl5Cs41LW2QA5bUGxueIpBcs+K6yKGwWvLIoVg5dVki8KWkcISkKqmmjmBaSdLmbo2gafIVsnSv5Ihd6SfyXxjFpGJCRIasasqZ/ZZFrlqaQvfxCmkQR33x61ZfHrhWxKwWmA1HMnHfarV9bulC0uN3RfNPnjKtM7JIomTevkivGKP7k6+vYKLqGJEsv1axoX2IrK4liEYnxEoffOIhw+2MiL0TRVXKVwpWFmqzIlFbqFJdqpGmCLF/9mGbBYu2dG5zc28UbOpCJ2Iryal2spn/XBe8LFlzBorBZ8MoiSRKqaaEYphjVSNLX/odaVlVUw3xpJ0U1bWJvSjDoCe8cSUbRdNR8AaNY/mqdnC94LV82nPKbIIkTkWOUZei2gWYZaIbO6jvX6Tw+ZHzcJ40T0e3ZXkLVVQLneRGSpdklvceLIxi4+JpVQ7sUOKmZX1+pZ5Vy5OqlSxqbs+M6H0r6IpP2kOFBB2/goOgqlfUmxeXqBQNAb+hw+NHTC7lVqqGx8ta1l8YmSLKEIl/8Mx16AdPehDgM0Qwdq1pg64d38UYuaZygWTpmUWxaLVa9F/w2sihsvoWcrSGTpcKo7lsYK/9VkCTpC4uAXyeKnSMNA9IXLgqyqoIsMz05JEPkTpEkYnzluYSyilH68v4tsqqhGKYokK663fjlxcNJnOB2R4yP+8RBhF3NU2hWscpfPexz0h7SebQvtnQy0C2D2vUVKhsNjLzoGPjXp4yuLTM5GRBO/QtFDQgjOvWFQsaqFbAqebxz2z+qqaPqGkbBuuAsDaIT8XWKh2VFpnV3gySMRffj7OeawvJrW/OwzhcZHnQ4/Ojp8zHWVBQx7mDM8hvbqJpKEsUcf7pzKYwzDiIhTM6ZX8oZ2OmOOPrwiTDtm6HnTFbevvZLewctWPBdY1HYfMtIwpDInZAGAZCJDoOdR7Hs72zbOcsy0igkDQLSJEbWNGTdFKOnrwFF06FcI/U9Yt9DkiQRzWCYBIMeWRKjmDbhYLY5JQmPl8T3UHQN1fpyugZJklDzBbIkFoXqObR8AcX45fQ1aZLQeXhA99wqttMZ0nt2wtq7NynM8oyuIkszpkMHbzghSzNUQ+PwoyfEXiS6B5pK6AUcf/IMSRbmdwBmwSZbyujvnFy5iVPZaIpU8XOomsrKm9c4+XRHpGZnIKuiuDALFpNznRNZkVl+fevXtpX0Mqxijs0f3MHtjwldf2agl3+pMV8UhLQfHlypzRkddCkt1yguVfEGDtP+1Zt7SRjjdsdfWNiEXnCpqAGhYTr+6ClbP3rtyi7YggW/bSwKm28RSRQRjvpk5zoJaRwTjofoCFHtq0SWpiShT+J5ZGmCrOnIhik88wJPFCmqjmKa8JI8pyzLSKYu4eS5iDjxPZAc9HIF1bha9yCKoUj44QCSpn2lFG9F01A0DTUvLqSSJBMHPonrolo5wtHg+SZTJgqCJPCJxiMUw7wyrPHq55kVUYEvjlWWkXUDRTd+6ULV7Y4vFDVnJGHM6f09rEr+Sk+YNEnoPDqk++SYLE3R8yZplHDy8S6yKiOrCkbBwi7nUXSN3tNjikvPxy1WKcfauzc5vbcrxlaILktlo0n92sqVx2qVcmz84I5wNfYjVEPFKueJw5hCd0TgeKimRr5W+tqLmjNUQ/vc+Ibz+KPp525qOe0hxaXqPOjyZYTeF2/ATXvjS0XNGYHjM+07lFYWhc2CBYvC5ltEGngXiprzxFNHXFBfkbFUlmVEzoT4nHtwGkWkoyGKZQszuiwjDUNiz0UtXJ1BlEYhoXOFzX+WEk9GyOrlpO4sTYndCdH5NWpJQrPzqLn8ly46xK89v28WRUiaShYnl9fBM2EGmMYRaRx96W2mNIlJnDGx73OmXJajEFmSkX5Jv5zPW0v2Z+GKV40tJicDOo+EOZ+sKmimwd5H9/HGLrqlo9km3tAl9kOKK3UC1yfyggs6kkKzjFXJ4w8d0iRFs43PTQIHET/w4vEomorxNW0//TrJPkf8DcyFyKqhCeH5S8TpuvXFn5f4Czxrvuj2BQt+W3h11IkLvpDP8zVJ45g0ubxl8psiDYMLRQ08D6uM3THS+WIky4gnY/L25VZ8GoUXiwhFFVtIqkaGRBJd/mOe+B6R61z8vbOcKf/yyu7ZcSWB/7nnME0SFCtHll5dXMqajqQoL92qufS8WUY0GRH7HueveGkYEo4Hv/T7mV6xbXTh9iuK4yzLGOx35v/Wcya9Z8fIs85OFERzzUvkR0Suj6zIVxaJqqbOspWqX1jUfNsx8/aVCeFn5GYp3lY5f2Ej7DyKrs7v93l8kSfN5x3HggW/TSwKm28VX/B2vUIamzR8vs0iKSqSqnJmJ5xG8SVj4SxNMPUr/jCfE5DKmk7qewTDPsGwL0zsXOdCAZClqTC8ewmxNyWJIpIwED4yvkcw6BIMeuK/XofIda78Ji58WSTU3OWRiKRpYqQmSV+6a5aG4YXzdOG2OCYNXu6n83m87AIKohNyVZhklqaE04sjlcnJgOJSZXZA2YWCLfQCCs3Sb31qtJ4zqV+/esxmVwpzsbOiqSy/sX3BXA+EWHrtnRtfSjhsVYsv9fAxCja52svf9wULfptYjKK+RaimSRi+ZINGN79ydMCvwpmgN5uJXl/UsGRZOrvASySeS5qkSLIoChLfJ7uiJy9d4fYrzV6TpGlEzpj0fIcmy0h8j9hR0YplESSYpqQv6aiQZSTelAyRNSVrOpE7Ecc96zxkaUo0Gc1M/y52G2TdJHMcZMNEL5Xn20xnhZusCuGwrH7+/1ZpEpPOs6giZMMQOp0XOjRZ8suNFnKNMnrOvFL7UdlsXXkRlRUFs2DPf0eSJBG46PrUr6/Qf3Z8wUfFLNrUri98UgCqWy1kVaG/c0Lo+siqQmmlRnVr6UK2llXKsfnDO0wHE+FjoynY1cKXTi3XLZ3Vt69x+NFTwnNbZ0bBZvWtbVRj4TK8YAEsCptvFYphXrkeLCkKWj7/jV1ksjQV+hnvBQ1LriA0LJKEpOmkrkPsntfYJMSug1auXhGXICOrKlmWCefg2WuRdUP8PM0uFjWI9WtJUYg9D8WyheBWlpFlhTRNSeOYLI5EkTVzIJYkGdJUbDEFPmkYkiUJsq4jIYEsCaHw1EUxzQvOxYqmYZQqRM4INVcESSGNAiRFQdZ1VDs3f/0vIwkCgmFvPmJLggC8qdi6UrWZf06GrKiks85QliRUSsVZF+mLu0FGzmTtvZu0H+zjdkdkaYaia9S2WlS3l176e+X1BpPTgSha0xS7UsBpD8nXS1z7s2/iT6akcUK+XqJ5dwP7GxLzvurIikJ1s0VxpUbsh8iK/NJiRTW0l3rWfBlytRLbP3qNad8hDiJUQyNXKyyKmgULzrEobL5FSIqCXhSdgtj3IEtRDLGGrGjf3B+2xJ9e1M/IMpIkEbmOcAe2bCSJS3oWSZbJZJk08FBNc96zkWadnmw8JOx3UA0DxbTFa1MU9FKFYNA/90DCA+Z5rEI2171Isoxi2cS9zgVNUhaLlWqruUQax0iyIjpOWUrqiyIjmxU8sqaDJJEmKcoLkQyKaSJrGkkUodi26DLJMpKiikLrrGOVpqRJgiRJ8w5O7HmEowHRTAwtyTJkKRkQORP0QmnmRpyRpBFamhIMesRhAM6EsN+HfF44L3+BANou59n4/m38keiWaZbxhWLcQrNC6+4mnUcHhI5H/cYKRx8+IYljIj/EKouiLVcrUmiVP/exfhtRNfUbSSDXTGOx/bRgweewKGy+ZUiKIjoDv6HV7ixNnmtYJLECnATCzE7SVJLARzZMsjhBMUzhPxNHkIkLuWrlEIWIKGskVSeLQ9I0xZ9OyYpFYs8j9v3ZOreFrOkolo0ahaKbI0uXMqDOby9Js6InCUMkTUWSFbI0QbVyRNMpmmWTZikgiRXrjHm0QZamJIGPpMhANi+OJEWZb19JioL6Eh1NdjYem7ridSOhmiaybhBNHdHlmp/LFElVycJICKgDD0nVyOIIo1whmozI4hhJN8iylCyJCMdDtDRFy3+xnkKW5c/V27yIJEvUry+Tb5ZEurcEta0l3N6Y6WCComlUNhpixftr8hBasGDBgl+VRWGz4Ctx1onIJAlZli52UgJIptNZ8nYmuieGKf591tmYdTQU00bRNdIwIHLCy+ObLCN2HBTNmD2OQawol0THIEZS8vkLbRKBomJWa0RTlyyOZvk9sjj2LIM4RtZ1Miebaa5f2MWVFSLXIZ11nWTNQLUsZNO6ci19/tT+lHA0PP9CiMMQOUlmxdfFV5AlQoska0Lno+XyZJLQTCe+DxIo2cVuXDR1UEzrC7U8vyxmwb6gw6lsNEniBFmWX5qBtGDBggWvCovCZsEFsjQRxnZnCdkvfDOXJBlZUciQhEndi0gSkTtBzz9fX700NpEkFMNA0TQix+FlnHV7FN1A1nS0QononFEfzPRFhdKFDk6WZUhZht/vPr9jJPxlVDtHJkvEM52SatvEriOKnSyddaE0sjQV3ZJZlyaeTggnI7R8Hi1fQjEuG+hlSXJBU4QkCd2M7xFOXVG8SIAsC71M9vx1no0U0zS5KCS+anN8ph/6ugqbq1DUV8MfacGCBQu+iEVhs2BOHPjEk9Fze39JQrVyaLn8fIVZUhShYXHPCYfPIasapCkZEqplEXuXfWM0O3+uYPoycdrMt5RkTSMNArI0EZtIV0UryAqR84J9/WwNO3YdtFyBLE3mhYvVWhGapTRDtW3SOCbxPBTTIvW9eRGhKDOPmVEfvVhCtXKzEVE66wbFs+dRgQxJ1QiHfTFymmmO9FKFcNBDMa35SrkkK6LY0w0hKpZkmHVGJFm+co3/y+jE0ySe6YYU5FfEuPHrQlEUQtcnCWMUVREhkIvu0oIFv5UsCpsFACRRSDjsXzK1i6cOkiShFZ53YFTTFloa3RDdjSxBQkZSlVmdkiGRoeZLSKpG4k1JkxRZUVBzOWTNIPY9Et8T4t0wAFkmbwlNztmFWNa0mXeMQJpd/L/I1VfKEIXBC1Y0kqwgmxppEosukGWTZdKsayRedxIEpGEohMGKgjx7rixJSMKALI7QS9WZq7FE7Lui8FFEQGYwGkAqxnCSpgtRszTTBMUxse+hl6skvifE1GmKlsuh2HlR1IAQhas6MYhtLVkhXyqLolEWHbMkCMR7oGrzzbEzRGE2JfbcuSBatXMoln3Jpfm7QBJGKOOYZ//pM+GRJMsUGiUat9exSt9tg8AFCxZc5rv3V27BL0Ua+Fd2YAAizxUXRVUVxnFxhGyYSI5D5IjRkCRJoKjohaLoFJCRBB6SoqKXq4A0H0lFznguQBYbSDKRM0aOE1HkIJEqKlaxdEkk/KWQQTEMUkmapaBnoiOiafNWh2LYSIokfG3Oxj7STNCrKCi6TuJOhIZoNjaSTRM1lyeajFDzRWLceTGSyRnhoPfcUFBRSQOfNAxEdybNUE2LNI6JvSmyYaLl8pBlKIYlikNZEav8WQqyjFGpzUdiiTMmJEUxTcLAR9GeFzOyoqKVKii6LgwKnfHMzVhwtp6fJcnc7+fXRegFOO3hbE0ciq0K+Vb5S0UE/DrIsozu4yNO7u+xtLQ09zIan4qU8Y0f3v3GjmXBdx9n4pLEMblCDvUbHAUv+Gos3pkFgEgNfylpKjKNAp/Incy3iOJAXDznxUeaEo4GGOW66ILMVrBlVRjoyapKPNsYek4GioJq50mcCUiy6MrYNmkcXfC0+bIIwz0VxZCRtXRe2EiyLIoyRRWPnQjTPV03RUF15hqsKESTifhZEovRkASp75NkGYqdF142tdbsCRUSfyr8cWaPLc3E0yA0NLIhNqPkWRfnrIBKg4BoMhSPI0lCVG1aKLO14XA4IJiMkGdds2gyJotj4igSoaKaLkZazgi5XCONwgtFzXlibzr3+/l1ELo+Bx88vpBa7bQH2Ad5Vt+9+Y1kPfnj6YUoiAu3TTzczgh9o/m1H8eC7zb97oBPP77P00d7JElCvVnlzXdeY+va+sKk8hVkEamwAOALNRhZHAvhbpoiqQqR6yIrqhinnIsfkKSZ1uRc9yeNY6LxcO64e+7OpFFEMnXJkphMN9EKRWTTJIsiEt+frUx/xdeiahfWobNUdIKSwEcxbbJz2ossicmSGMWyZindCRKQhL4QFEtn21KSKG5ioaNBkkBVZo7LqvDi0TSyLEXRTUiExxCSBLKMouliPKUoyJqOatsiVFOSRNyEJM2ckV1IRfcmTVKSKEQ2LTLThiQVmp/ZCnoahUSTMbHjEE0mJIE/d4K+hCQJ/x1vKvKpps6VOVtfheFB50JRc8Z04DDca/9Kj/1liaY+afwSp2nAG75cnL5gwZdhOBjzB//H/83HH9zHdaf4fsDB3jF/8H/83zx5uPObPrwFV7Do2CwAQDZM8KZX3qboxgWzO2nWsRHXfRlJFdtTWZYKjUoUohgG2bnrTRrHwhAvfaEIisXjZklC6LhYpvlcL5JlF7KivgrC5ycjHPZnGhgZxbQhy5AkmUzV4HzRlEFGiiyLQkUxTGEwOCs4kIQjsaRps5FWXuROzbpPaRQhaxqqnSMaj0RhkqVCgByGXBBJZymkGcG4J86DoqLl86KQSlNiz0UxLdHxmnWscqWS2N5KEmTdEI+ZpqI4zFKQEL9nXNElkSRkRSUcjYRu6UxsLcnopTKq+dXznuIwZnjYvfI2o2AxHUw4vbeHamrYlQJmKfe1fLMVfkMvR9a+26LpBV8/O0936feHl36eJAm/+OnHrG+tYiycn18pFoXNAkBoUrRcQYyaziGrKkouf2G1O5utLJOmYlSUxKDrkGaQZbMIhCsKkjQVxnmzrk2WZciagTTbcpJlad7hmBvufYHD7ueRhiGSbqCZttBeJClZGpMFMVqhjCQJt2Fmo7SMjCxOiJwJaRSi5YtC5OxNIUuRVAPFsIicCbJuiHNypt8xrXlCuJYvCmF0nKDaeeSiShIGYotL00mjiHD03P8nS2LC0RC9XJlpapJ50XJ2DrIwEF21mVsxM1EyCA2N2FbPSKIQFAXOJXjLqko4Hgkdj3Ku8MlSovFQFDtfUVScJcmVnRKrnGewe4rTHVHZaKFoCrIi07qzQXVr6de+qWSV8iKI8+SKGyWJfL30a32+Bb99PH2899Lbup0+w/6Q1vJi3Pkq8aWvGr7vc//+fYIguHTbz372s1/rQS345pEkGTVfwKjU0HJ5VMtGL5bRKzUUTbtgSpfFMapln/9l8W189p+salcLkSUZRTfFCGvm6ZKmMZKmoeYLWMUysm6QpQmJPxVFSBxfXSTBXKsCYrU59qaEowHhaEDsTcXmUpqQuA7hoEfsjuejnzQKhOtxmhK7DrEzIg2Eb048dedr3bIiz9fJVcsiGg+fd3OydLbuHZMGgTD8m42q1FwespRwMiQY9sjiWDgxxzFpGFx0Sp4VLMnUnQVqin/Lmo6sG8I5eTbeU3Tjwjq+Ylqoto1eLJElCVkYolm5F85TRpYkc7PDi7elL00Y/zxUQ8cqX06qnrSHjE8HqKaOrM40RknKyb1d3N7oqof6lVANjdadDdQrkuEbN1awq8UrfmvBgi+P8jlfriSJ519AFrwyfKmvaffv3+ev/bW/RrfbxbZt/v7f//v81//1fz2//X/8H/9Hfv7zn39tB7ngm0GSpHnQ5osopk06yzji/8/efwVZdp7nofDzhRV23rvz9OTBJAxyTiTBAEqkLFE+PgqWdE7ZsmVX2fplX0kO5SrfWFVW+cIql+zfufzbUtmWKR4dUTKDKIAkQBAAkcPMYHKe6bjzil/4L95vr+6e6cEMgAEwBPqpYhWxd/dea4fp9ez3fYK1VPpoyuTwcW4j5vkISpWVC+8qcDet4FJCVqqIF+ZcZguJerPhAH5zHOnyApi1dEEXElm3DVmuwqvVi1WGzjLoeEhTEMbAw7KbkLjVkhAu6Zch7bRp+uGIls5SyFIFvO4hbS/S7dZCxZFboZXAgxKJoyPSrgRjE7DDPhGWcgVMCGfjdtMTzmCtBkcAUaIeJwo5NEQ2tIZJUxijIIMKTJ7Suk0IMDASG3NBOh3OIcOVtY1frSPpdcGEB9XvkFPKUlqy8EOoJIaFhUkz8FIIY8hR5dXqMFkKozS5vN4pqdi++3Uf4wxj26cxWOzCavp9L/Qxd+g0GGMoXbZ6ssaid2kZ1cnmuz7WtVCdamL2vt1oyDLizhBe6KO+aQzVyQb4NVZVG9jAtbBrzw6cP7feSBCYmp7A2Hjzwz2hDVwT10Vsfud3fge/8Au/gL/xN/4GvvnNb+Kf/tN/Ct/38aUvfQkArRQ28PGGCEswebayRspzMN9H6Nqsaa1EOSsYDmHUysWSCwmv1nArKuqaEkEA7sliguHVGkh7bUg/QCHWdVDRgIgOSNSrnYPJGgsLAzPoQ8UDiFIVwpNuNWNJTKtV0VMFuBWK0dDDIa14tCZRc54BYNBpDFmpQkUxOBeA5LBawW+06GfjmB5fr5Ru0vHMynlbW0xxiskV54CxMHkCaynxOOt1CyHw6LHExDRUnkAtDVwacQl+vYHc0ForH/YhG00wpYoQQmsMVBrBDnsIWhN0u9EQYRl+s0Hnkl05aV31Br2nz0R1qoktd92ChWPnkfQiR7g4ajMNBNUrdTvZ8B3O4T0gi1MknQG0Ii3SxJ7NGxbcDdxw7Ni1FUcPn8Cli2sF8Z7v4d4H74K30Zt20+G6/gocPHgQ/+E//AdIKfFzP/dzaLVa+M3f/E3s2LED+/fv37C7fQLApYTfaEJnmVulMIBxuqDmNKEZiW29ah2Sc3IYcQq5G7mujKs2AGj9RS4eWmXlcUxt2mwkLF6pDcj7XaosGOXOcE5t2FzQCscLAWtoQuMmPmTX1mBCUsrwKPfF1Rxw34dOEiInjqhYa2mt5PlQjjgY4UElCbxaDYxRQrMMS8ijAemKAMAFCVqXPmy1Lgot4UjfiBDxIISKhmAARLkCBkZrN2OQLM0jnJyh1ynPweIIXr2JxW4fmyfHAa3AmEDcacPonATNQhSvo0oieNW6W+fFAAe4WF0RIYoUaYByhIT/3oSPjDE0Nk+gMtVE2o+g0hxpPyoKTi9HUC+ve/t7QefcAuYOn0Uep7DWYmFpETUWYmrf1nXXUhvYwHtFrV7FE1/6NI4cPoEjh49DKY1Nm6dx6217sGXb7Ed9ehtYB9dFbDzPQxRFqNdpX/2FL3wBv/Zrv4bf+I3fwB/90R9tTGw+IWBcQIYl2CCENRpZe+lKe7G1yAc9BGOTkN6VF7LRZ2V0oaXHpSbtleNwmCyDzTLSt3DKl7GWxL8AAGNorRSEyPMUslSmkD/Ph3a9TFYp0uxoTdMZo13vlAeTUvKxyXMiPqO8HFeSyQuybsE9CT2kSY0IaP0j6i2oNIG1uUsDllBJBL/eIpu6C+4TflAIoK0mwS+dcw4mJVQ0JBLkefAqVegsgxoOIEpl2DyD1Rp5NEQ58CnwL03BPAkwQJbKtAayhtZYUroJFU3LuCeRLi3Scw5L0HoIlUSkc/KoAf3ynq33AulJSKdlGW7rYvnU3BU/wwVHfab1vo4zwmCxi/OvnyhWYACgc4Wlk5cgAx9Te7fckONsYAMj1Jt13P/w3bjzngPQ2iAsXdkVt4GbB9e1gP7Upz6F3/qt38Lhw4eL2/7u3/27uOWWW/DX//pfp73+Bj7WMFojH/YRzV/E8MJZpEuLgPDIgXM5rIXN1187MMYpRC4eQjtyobMUljEI18Ct49hNUMi1RJMgmkyM+I8olaHjCGl3GbDUqm3SFDCGpiBcgAcktCWNCbWMF9MbL4DRxk1XyKo9Il3c86iR218VgAcGk8QQTu+TDXuQ5QqCyU0IJ6fh11soTU7DWEslocaJil2woVUKjDPwIACc7kMNB2TnFiQOztrL4NzZtzl3GTkemAWEIqs89/2V/CCXlcMdebJaF68Pk7JIG7bWwuYZRFhC0BiDcMLwoDkO4d1Ym+rE7s1ozI6vcT/JwMPsnbtQuUFC3u7FpTWkZjWWT88hi2/symsDGxjBD3yUyuEGqbnJcV3E5jd/8zchhMC//tf/es3tv/u7v4upqSlk78FVsYEfH1iXKBxdPIess4y830WyOId04WLRkbQGjMFoQz+3vIC0swyVROTA0Tm4dNZwZ+2GMch7XYSt8ZV6A6xMcigLJgXjVMApK7UiRZhWPhJWGxIYCwGTUrqxV62D+z6RB4tCT6PTFF65QuF8ee7OhUOEIeXHWJqCyGoNwdSmFT2NcGWV1Tq8eguyVIaOBsiWl5AszSGenwNz0xMRBAAjETHjgjqwpEfPHWwlI2eUk2MoiyYfDuBXarBZhqzTQdptI1maA9eK6icAMC4x0iCR8JivaHkYJxIIWvvR2+Fs4Vq510wBq5KRbyT8UoDNd+/GjocPYPauW7D13j3Y9djtaG6ZvGHHiNtXD91TSQaVbPw92sAGPsm4rlXUV77yFfzSL/0S/upf/atrbg/DEP/23/5bHDx48AM5uQ3cHNBpgqy9RG6nYjpnodMU2fIi/MlpmFXhflx6yHqdNWnGOqG2bOUEvaJUghoOSXgsBLwyFUGKIIRVOYyb2IycRyqKKATQraCsI9NMSugsQdAYQ7o0T/Zvp3PJ+n14FXIHqWgICAa/1oS1Gkl7CeHYBLJum7Q4WQLZHCdCYi14WEI+6EFHEWSlCq/WgggD5IM+VGcJwgugjC4cUCOikPe68OpNEjKHZegsoQlLuQLue+Q4sxbC96Gi1cm/jFKdfY/ON46ci5TBGAOT58h7bXi1BozJ4VWqyIcDer6u8gEW8Ku1QoMEwGlqePFawbmwVEI9XtwlIt9IcMFRGa+jMv7BWK39UoCkO1z3Pu6JNcWpG9jABj55uK6/aH//7/99PPnkk/jc5z6H3/qt38Jbb7215v4DBw58ICe3gZsDKh5STcKalSNNG1QckUDW6TSYlNDx4MqLpbUUaOdWSybPIas1ePUmwokpaKOhkyGy7jKybgcmjWFzRU6oNAUDoOIYOh66yQWtV0iHE8CqfCXvRghwL4BJY6SLlygtuFyGLFWQdduk7XGt4oxz+K1x+K0JskaDIet2kC4twCSpqy3oQmcJVDRE1l6CThKoNKbbkxhevbGG8Kl4CFhDYX3lKkSZcmWsMZClMrgU4L5fVC5YM9LJSHhVCkmknixalXEuwIwh7U6WQUURiacbLacZkvCrdfjNMVg3AWKMk8sqCABQtpCOY2SdZahBHyoaIm0vIR/0rpoTdDVYa6GSBFl3GcnSPLJuGzpJPjStXWPzxFXvq8+MIazdOJHyBjawgR8/XBex+YVf+AV87Wtfw3/7b/8NnHP88i//Mn7pl34J3/jGN6D11XtaNvDxACX2Xvk+M84LB9BoOsOlBJi4YgdtXJ4LaU1ID0KJvhbx/EUIIZH3utBpCqsVkZg0QeYC8YzRYJLcPzqNIUoVMM93NnOJPBqC+37h1ioSeoWAcmnKea8LkyVu+uMD0iu0Oll7ETZPkMcRESE/hCiVKP/F96HjqCAbjDFaYXFBqybGANf3xDin+4CCMOTdDq2etEE+7AFcgHEJHgRETHyfKi0o7atwi43WWOAcxpEGk+eFQNtkKYLWOMLxaYRTM/AbLfjVKrxqHaJShd9sFb+vV1n1qbOKhrUqGha3X9dnwVoieJ0lqJgIqoojpJ0l6rn6EFCbbmJi9+YrPmPlsRomdm/+UM5hAxvYwM2LdzWDvvvuu/HP//k/x/e//3088cQT+N3f/V184QtfwL//9//+gzq/DdwEEGGI1bkyq0Ghez5EqYSgNQ4RltbYiQsYTaRAyJWkTuamMcZSUaUjPQAAa0mXwgVUPIDfaJGeREpAa4hSee1UyBqYOKam8FIZgAWTnmsit+7YApCyaNum6UwbOs9gwcC9AGrYp6JON/mgaQpoPZYm4F7gyjF50V6u04TcRVI60iLAhYBXqUAN+2BSUrVCEMCkGXSSQJQrRFKK+giaqohSGUarItDQqpx0PdJZmAUvequspURhk6Xk2PI8CjOs1uA5gbAIQ3AuoGPXxC4ERLBW/Kiu0hG2HozKkY+CGi9D1u+972LN6wEXAlN7t2D7w7diau8WTOyaxdb79mLLvXsRrpOfs4ENbOCThfe0XG80Gvibf/Nv4n/+z/+Jhx9+GP/yX/7LG31eG/gAMMqBSTvLJOiNhuumBF8OGZbhlavr3ufVmwDnkGGZHDrCo4v+FWCAhQvm851A18LqnPJetCFdjSECwlZpRLjwXBCedVZluuAHE9PwG00KvCuVC7JjXA2DdcJaEYQwcUL/DUYX+yCEige0QjIWhZh2NDURYs3zsACt2xzh4VI60S9NoUyWkQA5CBGMT8JaIOu0YbmgNVDi6h56HSSL87B5Bq/RciJjBhEEkNUa8mhIJMbVVBijqRbCkojaK1epv8sVV6pogKzXQdbvQiURVDSgKUyegQkJvzEGUalSUnSpDHk58bQWRufX7Wy0ebZ+XYZ7LJt/OMJdLjiqEw1M7duKqVu3YogUMtgI59vABjbwHkswn3/+efzhH/4hvvOd7+C+++7D7/3e793o89rADYbRyq16VtYOOonBPR9+o0n9TlcB9zwEE1PFWmcUPjf6PRmEBRHhngevXEE+HFmNaXVD3UceLCyRG9+DycmdY7IcTKysWyxAvUuGyIYFCZKF58OovGjfztxqifuBs3bnRd0B93xak3IGcFeBMNIBuUwcnaU0QRrl6DAOWa6QbRyWcmKcWwmMkUYnb4MJQaLgIITJ0mJVZrIEolqn19Lz4DfHKKtm0COnEhOFjT3rd+BV6pBhGTpXsJY6qwBAVCqwSYzRWgqwUFpDVmqFkNhqChbk1TqER/qZuNN2lnYiYF6lBlmpQvg+ZBCSTsrBjh5H5ZDlCtSgBxGWKHfnHXBtHc1GptUGNrCBjxbXTWyWlpbwta99DV/96lexsLCAr3zlK/ja176GW2655YM8vw3cIJgkWVdLYXISo/r1d25B9soVEgZX6047Qh1LslR2q6oV8LAEnqXI4m6RxOuVqxC1OulqQKTKaANZLgMmBQ8onZj7JASm4DwBwEKGFeTRECaNAQsYp8vxanUwXgbjDPlwQP1IuYK1GgBD0BqncszhAGwUe24N2cfjGLJcgc3oONz3SdQrS0izHADpZQrCVvKo56pUgYqHsCmtzmSlDllvQsdDyFIF1hqYPAETHk3DtKKeLeecEkFIkymtSJNSqUKGIVSSQIQl0rDEMfxaDdwn4mS1hi98QHAol00DAKJcpgC/LEHe65LQWCkI3wf3feSDHq3BwhKtvvrdYi2nk8SRNgbu+1DRECqOEbTG3pHcvBMBBkDrvw1sYAMb+AhxXcTmN37jN/DUU09hdnYWv/zLv4yf+7mfQ7W6/mriRuDw4cP4nd/5Hbz11lvwPA+PPfYY/uE//IcYGxvDa6+9hn/2z/4Zjh07hlarhb/zd/4Ofv7nf/4DO5ePA6w176ij0EkEU65cvSTRQfqBm5q4xm1rKYjN2kI3Y62FGvZgVO6KK13PpFvZeNU6dJaQ4FhaMD+A53nI0wSlsQlki/OgnRWF0ME4cXC/6zQt5Gvm0oMaFVQaDRlYKsJkHEG9SbUNhqZFIgzpeK4pO+t0wKRA0ByHlqk7Dk0wjNbwm00iAE7zI0tl8LDsAvAsdJ5BSAnph2BhCJvlRBotaIVUKoN5jCY68RBpr0vPyd0vyxWIUoWIGuNgUoILQQJjMHjVKmS1BhlWYFSOtNNGr9NGtVZ1YmBDWh5GWT5quFq0a6GzDOACXEqy2QchaXmkR/oYp2cSfgBZrcOoFWG4Gg5o6nOVADLukZtrPZIswxL1hW3gI0c0jKCUQVi6sQGMG9jAjwOui9hEUYTf+73fw+OPP/6BJy4mSYJf+7Vfwy/8wi/g3/27f4fhcIh/8A/+Af7xP/7H+J3f+R387b/9t/H3/t7fwy/+4i/iRz/6EX79138d+/btw5133vmBntePNdy39KvfTRqT6364PIUaDovVBvd8eNUaTSMyEsfSDxpYkJ2ZMQ7rjuHXWzCVGrJ+D8gzWC7gl6tI2ssIJqZo0mGNu0gyxPOXEDRaUNGA3FVKFaWbOkuIYEkPwpEOazR0loEzIB+QeJdZ6/qhglVdThI2jmHzrNAaiVKJVlGcg0uPrNZSgktBScCeRwJebUj/kudgvgeeUqEnc9oYqxSE9JElsdMTuRWYoZUTF6KwZqvhkLJ0RrqaPIeOUwiPJmGyVML0lm2Fm2mksckHPXDpFaGGzOmDAJrEcSmJ+MQR8l6nsIibdGVaY7UCFxLWMFiX9Jz3uyQKdynHq8E4h1dvgA0lkWWXkuyVyuRUW1df9cnDxQtzOHX8LJYWl9Fo1rDjlm3YvGUT+AcQirga7XYXh984gqNHTkIrjYnJFiZmWhu1Nw55rpClGfzA+8Dfiw18dLguYvOf/tN/+qDPo8CFCxewf/9+/Pqv/zqEEPB9H7/4i7+I3/qt38K3v/1tNJtN/Mqv/AoA4JFHHsHP/MzP4A/+4A/eNbH5KGzqo2N+2Me27sJ/NaEwkxLGJfNeCzqJ6SK5+rYshW5nCJrjNJnhnC7cSgPMgAkP1liobgfKj+GVyu76S+fFPOpMSvtd2DR2kxVO6xKtCrHqSFwM1+nEXA2C1RpM0zSHez5ZtIWkMECjYRPS8gCAjiOISq1oGpflMk1KVA4RkqZG5wlgSKyrOYfKYnjagAehW61xGEvTHGMsbJZBVutUnWA0aYI8HyYl/Y0u+rFc6KCxyId9hJObkC7NQ5ZrYFIABuC+RzZyRfk5KqXsmn5nCZVqDV6lhjwaQKcJhRm6/Bur1IpWCE5DYwykIAJiAUBrGJZDp3GRSuw1Wsj6PXDfh8kS6DgG83yIICCxcq1J6c1rPzEkSA5LTkPlijjxyfp3dTUcO3IS3/vzZ5Gvcoi9+dphPPLpB3D7XR9caXC/N8Cf/+l3sTC/WNx2ajDEyy++hrHWOHbv2/mBHPfHAUppnDh2CgdfP4J+r49ypYz9t++BFPKm+dzcTLjZ/k2NcL3nc9PZCHbt2oX/+B//45rbvvWtb+G2227D0aNHsXfv3jX37d69G1/96lff9XHeeOON93We7wcfxbGnxlrIe511wtgYwlYLl06fu+ZjVMollK1BfpXck2AwhBeW4BkFbgzy4QDcGlhrIMtVhGOT0GmMeGmBVi/GQOcZvDBE0BiDVy7DGos8z2kiwzmYpQwdrTXyLIW1AOcMHIDRBkJ6yHpdMMagweDVG2Qh55wmG+Wq0/VY52KyMEbByAp0mgFJDFGpQAZj4IxRI7nwEHc7CHw6dx3nUGkGWamh116ESjP4ggNcwKtU0Wu3oVWOUqMJeD7SKAFPMpRNDq41kajc1T8AtBYSEirPkMUxtNLgtTp6/TZUV4MxhnqzBR0tQDMGlmewBhj0+mCDAarjk0h7XbBoCF6pgfsBVJYhj+PCsBTW6lAqh4kjqDSB8ANk2mCwuIhqpYJsMIRXKkN3Osi1gsxzqHgIzjmUimCjIZgfIp2bgw4r6PTWt3jfTPgo/02PIJjEt//su+j3rqx9+PrX/jeUycD4jZ+eMMawtNDFG6+/ue793/7GU0jyCEp98Hb8mw1CCFw4M4/nnnlxzeTqjdfexD333wkwQF2HO/STiJvh39R7wU1HbFbDWovf/d3fxVNPPYXf//3fx3/9r/8VpdLanIowDBFF15/DMcIdd9wBsV7eygcIrTXeeOONd33s0drg/X7TM+m0K0Z0qwshKF8lLGFm6/Zrn4dSSJcXrno/JefWKdG2swzJAVgOCwaoHGrYh4oGgAvZ40EI4QewSpNDiwsYlUA4UrZTSQABAABJREFULQoftVW7tF5vtTCVc3jlMkwcgzMGFoQIShXoJELa75JuhgsEzSbQbLmCTAsmOJgTx+poCMMAGw1hhUSWp9DDAUSliurUDNSgCz0cgsHCpIDKElSDEryJSeg0pbwbozCzdSuEH4J5XiE2ttYiW16kmgdYep6j99xN0JDnkFKCwSIIAkxMTBavo0li2HIFYAw6FYjiCOVyGYwxcGtRao3DpjFEWCbdjh/Aj+hiyoOQVn9GwyQRWJrCJDH8IMCmLdtgjULOGYTvI+/3UK3XkXXa8D2P3G6uwJJ7AequAXzHrl3v4pP24eK9/rv6IHD8yClUylVUrhaPwAPcfvf+D+TYf/r/fBszMzNrbjPWYn5uDrAMk+OTmN409YEc+2bG4sIyXnj6dUxPT6+53ViL1195C/c/fA82b9n0EZ3dzYmb6d/UaozO61q4aYnNYDDAP/pH/whvvfUWfv/3fx/79u1DqVRCv99f83NJkqBSqbzrxxdCfGRv2PUeW6cJdBJBZ9mKiDUIr9A9XPdxyxWy/bpvbSO9xvXCWLO2cPEycD66mMarxMSaQu3yrNCRWEMi3FFbNpeUOuw3x5BlZLWGtTBZCu7IEolf3cpFcAg/hGw0ad0ThmDSQ9ZdBnOaHptn4GEJWa8LWa4i63UAY8A9Ca/WotqDoneK2qBltU6ro+EQyvNXTbcYrFEARuuakb7E0uQlGoBxBj+k+gLjniutu8wVhNRaAzkS4DJG3yKtdanJFNSXJdRazqWgzB6Xm2Mt6WeE55EWmXPoJAbzfVoFWgMuPORRn9ZNo/WXJWdc3mvDqzbg1RpU4yAECgfYZdk9gDsnq9f9vI4s43SiAuIjFg5/lP+mR9Bav2P3Vp7nH9g5rnbxjcDdZ1hwDs4/+tfno8DyYgdKXfm+cGOgtcbSfBvbtm/5iM7u5sbN8G/qveCmJDZnzpzB3/pbfwuzs7P46le/irGxMQDA3r178YMf/GDNzx47dgx79uz5KE7zA4VKYupWGukztEaWdyGCFH69uX6673WAvcMH1bgU25EglHtrxaNMSLImuxTbyyFL5OKxxpCo1Y4Eqjm5p4wG9MjZxJwFm54fk6IQt6poSI4kR2p4SIm9fr1Z5Mow4UENB8iWFl3nEohQWUs1CakBlz5U1Ae0BgegrQX3AqTLi+C+Rw6jVU4rNeyTuFZr5P0uvFqzyMUBF7AMgAs55H4AIUnHo+OIpkGMA5ZC86w1UEmKYGwSOh6SY0tRGKFXaxSvgfB8WFgYpcCFABMC+aBPEzp6ZQDOYDMFw0DHkJIE2o6YyHKZjGRhCB6UkPU6hYMLXIB7K2RUZymEJju7CEPISg1ceuvatIuQRH7l50Vnqat1cIF8LufHq1Tf82fz44BGsw4uOIxeX6w/NtH6wI6965ZtOHf6wrr3TUyNY2y8+YEd+0ag2+5Ba41avQrPf+8keXmpjYX5ZVhj3Ov9zqu/DWH1xw83HbHpdrv4a3/tr+Hhhx/Gb//2b69Rrn/xi1/Ev/gX/wL/5b/8F/zKr/wKXnrpJXz961/Hv/k3/+YjPOMbD2s0hbqt8w9Opwl0lrraABQOoFH0Pvf8d7TrXg06pSyU1SFuXEr49VYhHmWMQZSrMFm+5ufABYTvk3DWWgp8SxIwo8G4gE5jSg0ueURsLIpAPR2r4kKo05gs5aO6BGf3ln4I+AEd1+iifkENBkRyPI8u9JwDml4P5vkADNm4lSKxaxK5SgfQEMMYWO0yeegZEnHiAsgVmLXFhIoHHpgr/RSMgfESkoU5QJBrCmaIOI2JfIGR0Nnqwo3m1equvBNEHo2FX6sj7SyTZV3rQodjlYJXqiDrdyCEXHEaWcDqHLxSRdbtQFZrbvoFWK3AcgFRrpIbzdB0jXJ1slVFmx6YkIU4mFmyh4sggE7T4i1lnBX1F/yyXBuT51QmulrIZy2tGYFrZiJ9nDE1M4Fdt2zDsSOnrrhv0+wUNs1OX/lLNwjbd27FzKYTuHRxfs3tnufhvgfvhB/cnNbvxYUlvPHyIZw8eQZaaYyNN3Hnvbfhlj073pVzSWuN1185iJdfeB1pSoRbehJ33n0AnLEiAHQ1OOeYnB6/Yc9lAzcHbjpi87WvfQ0XLlzAN77xDXzzm99cc98rr7yC//yf/zN++7d/G//qX/0rjI2N4Z/8k3+Chx9++CM62w8GRqn1HUyM3Eb5cEDN1IIsxjpZqzHyqjXISu26yY1RauVb/jq3B63xgnwIzwdrjRHBSjNKDM5z6DiCdk3VeTSgRN2UcmVo7WEpfM9ddIs1CecAA2S5hmQwAGtIck0ZQ/Zjq4sLsQ0NdJbRBdSQQJh5dIGmega3SmE0XbJaFxdmmybgXkgBc66HSgSkixmtouAmTKPMF0gP3FoYplaSiy0gKzVabYEqFWA4rSAYQ7I4D6/eBBcSvOIj77Zh8gyebEIN+845ZQAwyDxH6OztOqf6B5PQ+pFxDlmuut4qTuF9aQyvVodOU8gqTUbyXtdNgACtcvB46KoN8jUuKVpzrdQ7eNUahPTAqjVg0AcTvHhfmFv1MSHh1xtUGLoKoxyi9aDiIUSp/JGvpT4qSCnx6GceQBAGOPr2SWRpBikltu/aggcfvgelcnjtB3mPqNWr+MKXPo0jh47jyOETUEphamoc9z1yJ3bcsu0DO+77QXu5i2//6XfR6fSglMJwEGH+0iJOnzyHn/rZJ7D/tuufxp86fhbP/+AlGLNCYFSucPjgUWzZNoszp89f8TsH7tyHqZnJG/JcNnDz4KYjNr/6q7+KX/3VX73q/XfccQf+x//4Hx/iGX0EWG80yjgYA9LOMmk3wlIRkuZVa4V9Fxhlt3iQ4fUVAposu+qFyqgcOs8gxcpjcemBSw9eBcj7PWgVFZoaxumimA96CFoT1F0UD2HzHKJUcTUMPrL2onssH7JWh84zBNUq9HAA6y7+3PMoM0VKR7K6Rcs4hekpeJUa0s4SwtYEksU5soMDYJ4PxjhEqQyvWqOVmNLQOgeTghZBngfP84FqDTqidRHjHFxweI0p6DSC0blL2/WgoiFY4FO3VZ5htE6yKgdzgYLGTaSyXhvhxDRMnkPIkTYncush0rPoNEG6vAi/2YLNEoBR0jJl2/Qhq3V4jaZLU7YQjRaMUeA8Jyt8HJMlPR5CVKqwuULWaYOHJWr0TmhlKMKwaAWXlQqlGec54PRaXr0Jk+e0StTKSWYcaVyHoJh3Krq0lqZyn1BiAwDVWhWPf+FR3H7XrYijGGEYYHxy7APPAANoFfbAI/fgjnsOQCsNP/Dw+uuvf+DHfa84ffIMOp0euu0uzp6+gDimv2lCCFhrsWl2Go1W/ZqPY4zBwTePrCE1I0TDGGbc4FOffRCH3zqGwWCIUinErbfvARMGUn5yV6cfV9x0xGYDTtQr5GVrIYG0vVzcb92KBdaS5iMInX6FoJP4uonNiCysvc0RBCEKsnA5jNYkwl39e1rD5ClkWKKVCxg4l2DlADpLEc9fRGlmC8Jg9M3VQiUJZFhCNH8JUkrATYesVtBRBFOqwKQJjNZgDMiHA/jVOgCGrL0Ir9agSoVylfQpoGwbSA5ZqkArBT3sU0mn50PUmjB55vQwPbKNex7CiRnoPAWXHvKBs5AnMbSJSBtTb1A+jcpcISZchoukEEAhyN7tSQSNcdIkVaokBu4skW7GaZasVis6JGMATp1VXliBtRYmTaGSiCZiWiMb9CFcEzi52ixl+BgNnWqIWh1GK4ggALMWQWsCWXcJKopgsoymKEFIGhvp0/Nf9V5bpZwWilP3luetI3q2haPuHcE/+Av4jwPGJ1oAPjhNzTshDJ3z7ybLIbkcp06cQzSMcOLYmTWWa6013nr9bRx68wge/vT913ycLMvRaXevev/8pUV86nMPY/+BPYiTFEHgw/MkXn311RvxNDZwk2GD2NyE4FJCVirIeu4fKmPQ+cjJJFyYm10RhCYJRKm8Zuqy3gXIGkM25TyFyRW451qiV4lDraa1CBhzVuwcKokAziC8YI0w1Bp9RS5OofmwhpxBQUAR/saA+wG8cgV60KPQOFfFELTGSRczKqTkAkKKYgqSDwYAYzT1GOlkXKkmhAQYh457sK6Y045qF5ydWZYrkOWqCxakuga4i7RfbyJPE1rraQWv0UTe7dBqRhuIUtn9rIFVGZSi31FhBM4YuaqMgs20c0kJssUvzYMFAcLWBLSb6IAxmpSMUqC5IFt3rUnOsH4XatiH8AN4lSrUsE/6GkOiY8ZoRmQ0XAs6rduYH5C2KI6pf8q5nGS5BlGqwGpFpCaJaZXIBZgg7YLJMmS99trVJ2Pwa3WXJEwkRWcp1HAAnRHxU0kM4XkFUSs+u55/zT6pDXyy0ev0cOniAow1iIYRet3BujkynDPMzS2gvdxFa+waXXaeRLVaXjc/CACCMEAY+PDd/4Cbn/Rt4L1jg9jcpBClCnzGoYbksLF5Du55ThjMYbnTgzhyw+xa7f/lFxejqAwy7SytrBIYgwhCcllJCZMmVDvgBQAssvaSa7KmPiIRhvCqDZoKuOkBGzVnj2CtIwVkr9TRkHQinMNvjiPrdugbPWPFJEgnlITL+agWgFxCgnPAsmIqRJbxDLApUqPhVWpEvoxyupkcuVn5w8ZSr+iIyjptWpNVarB5Cq1yQFlkgz4RlXgICwuehfSaOzE2ZdMIWGOhnTNLpRH8WmMl02c0RdEaInBCW85h0wxpewnh5Ayy9vKo7QDgArJSdb1RJeTDPmB08RjaGNjAIJichgWDX6lAKgUTRy580GmHPA8myxDUGsg6bZg8JRcbJ0t92lmC32hBu4nYyC6v0xQ8CJFHg8KBtgbWIut1EQiPRMVZirS9tCoBWkGWysgHPciwXJBdJoQrJuWXPZx1605XLurRKvPDWM1s4ObCiaOn8P2nnkM0jME5Q71Rw6njZ9Bo1THor53+bt2+GcNBhOFgeE1iI4TArbfvxcUL8+vef+tte1CulG/Y83i30FpjOIghJf9Iz+OTgg1ic5OCMUbN2a4NWicR1HDVRZtxCM9zhYd85aLpIFatoaxzrGT97lp9hKXiyJwx+M0xpHHsslMkZcIIQUWOWUrTkpH2xffhV8nlI8sVKlYcgXPYjATColSGUQNwPyA3k+txskpDVmq0XlI5rUEUTWyY57uxhIXOUpoucE51BpxTB1JAImCrFIzW8EplMJm4yYqmiYiQlFrsRLSyXIZJEic8NhClElhAfUvWaBIdW7vSo+ReH5tlsEJAhGWamEgBG6Uw0sIrV6DiGBYWjEvISg1WK+S9NmSpDBVHhbg7GJ9E3u2AlwOqQtAGgHGdTCGybocIFBiRyWiIzAI8DKET0PH9EFL67hw1wICwMQZjVFFGaq0B5TIzV6wZgQUh1R0kJPqlFnTSVeW9Lrmj1nGfmDwF932aAq3WfRmKAwiaY4W1n/v0PC7X5FitkQ/6a1eWjMGr1Ok9YOwdc1828PHB4sIynvrzHxSOJWMshBCY3TKNM6fOo9GsI0lIyF8ql3D73bdiaaENow0WF5ZQKpVQqV6dFOzavR1Li8t449XDMKNVOmPYtWc7br1977q/40kPy0ttBL6PevPaWp53C2stTp88hzdfO4SF+SUIIbB7z07cescetMaaN/x4GyBsEJubHIxzmlygDBVFK2sM0NjfWluQH7qRE+lYZdEduW50Gq9Jxl3JyFEwKoesNSCrVajhgC6kXJKzybVcg3P6ti99pJ02TUxcf9KoPZwxDgOLcGwC6fICTJIAYBClktOEUCEkHZu5VRiHrDagsxQwuli7jSYJwfgkVBLDZimC8SlknWVk0RCyXKFQQJWBuX6l0etDkxOGYKIBzqm+weQpHV9rqIFaCf8Do+yRPAf3aGUEMVr30coH1sBaVkxeuPGg0hTC9wsLuVolbhblquu1AnSawm+OQZeIQJg0KSZxcAQ1aI4jaS9BuIyaUXgiA0Pe7SBdXkTQaNE6r1YrnFUAoIfutXchfqs+PbBKI2hWYbKMUqY9EmLDGDeJMoVDrMBIu5OQI8uoEfFbtXZ0XVQQAl6tcdWgRxVHV+iwmJDIB11k/S64FNQKHn5ynVSfFJw7c74gNSMsLbax78BujE+OQ+UK3U4Pm7duwuzWGVy6MI8g8PHCc69gaaGNcqWEA7ftxYE7963rLvMDHw89dh927NqG+UuL0FpjamYCm2anr8jFUUrh6OETePrJ5+EJH57vY+fubbjz7gM3NGvo+JFTePLbT0Oplan2qy+/iXNnL+BLP/25D4RMbWCD2NzUsFpD5xmJKhinNciwXyQH03pnjMiBposoaRwue1uNS920oMeDpYuma5s27uKmooi0K04QC2vgVaqwIIEyjIaKUpooJDEJlCsVeLUGaXxUDqM1eFhG2lmE8EuO2NCaSDjNDC8ybww496HjCMxaCM9H1lmmc3UTKFEqQ0cRmJTQeY6836VgPzfBCqdmYJIYXqOJrLPsJkoBZLkKFQ+RD/rI+z2YPIVXqYG7dm2ACJ9gDNz3kPcpawdCUju3NoDgYIIygYictJAtL9K0CAwwCjodaWvkyqSHCyIYjKYvwvdhweBV69DxEHlEmiHGSSOjkxjJ8gLC8Umky4v0HoQlWt+kKfVXOSGzyXMSHgdl6KgPSA8MlNHBfd+REhIkW2PIJm7cuk9rIhGeDwtDq0vGKBzQdw3s1sCkKd3m+ci6bagkgleuQqUJGADuxNIAwN4h3Mxq7Xq6VsA8H6rfpSZ0IcFKJeoUSxKgObZBbm5yGGOQZTk8T77rRNpup7/u7cNhjEF/gIceuw+9bh9xnOLiuUvo94bYf9vuYr3U7w3w/A9fRr8/wKc///C6x5dSYvPWTdi89Z0rEg69eRRPP/lDXLo4j5mZGShtcPCNI5i7uIgvf+ULqDfWr8R4N0jTDC//6I01pGaExYVlnDpxDnfee+B9H2cDV2KD2Nyk0HmGvNtZITGgC4qsNZy0hoSq16NVsBbuYpUXuhaTZS4fJSSSwwVVEzCOtNeBKYojKUzPq9ZdYq9PuhlNU5ys2yEBcHMczA+g0pQuzlpDWwu/NUH2YqMhy1R9oV3dgAjCIojQ+gGJVusNd9ET4H5AuTWDHp1fpQo97NOkqFSBDEvIO21YxuAHJQRjk86pBGSdrtMgjWL/mUsTbjjSkFAMjateAKNeqXR+Dl6jAZOlZO8WAIymROKcJkgmzyArVahoQA3XSpFuiDMKFAxL7oLOIOsNcD8E8oyIpKW1lTEKKBq5ST9kNYmsYTSE5yF3du1RoKBRCpxx5P0eSpUatBAQzkWmOsvgVkIEbirkQvmEe65WK8BYqGgIv0nTPGu0W5kNaYrG6HNhlKK0YSFgXcdW2l6C3xiDigZEUoNgpUn9KtMaYwzMKv3VaFpVCJWtLgig0QomiSC8T264380MYwxOnTiLQ28ewfJSh6Ynt+/Frj07EFxn8F+9UVv3ds45ZjZNYsct29Dr9JEkKUqlAGdPX8Cli1d207196Dj23bb7PYcdDgcRXn3pzXUTh5cWl3H29Dncduf77/PqLHewtLh81ftPHj+9QWw+IGwQm5sQ1hjk/e4aUgOQaDPvU2CeeBfOE5NnMCqlKcZqPYwdZb54yHsdcM9D0m2DcQHu+3R8pWFUTuupIIQIQmS9Nk0EfNJ7pMsaIiyT1gUg8uS6oLI4Bnd1CVm3Q+3bzgFFlmsK7hNhCdmgB5smYNIjXU6e0epLCMBZ4DUXzo4cIO21abpiAB0P3c9n8BsN0oVwWnWxVWs6FUek71EZuJBE7DwfpfFJZFGfqhCiIZi18Kp1iFIZqk8uLpO43JgkhjUG4eQMWcnjoXvNQpqOeR5MGiOYmKSU3s4ydJpAlEowcQyv3kAeDd01ncEKBmhF6yI/gNI0zWLScxUXxDuk7zuyRnogGZaRLM5DeBLC98naneeQ5QrZun1Kd6baAwaA1lcmTWhqYzSRVje1Ias+idS9ag06y0jnJDiYJrLEhKBJTJaCe5QSDTibv6ZeKrKKczDOqNh05NDjAjpd5VphvMg/AqhGRFaq61Y4bODaMMZgYX4J/d4Avu9jamYCnnf1P/FJnODCuUu4dHEeXAjMbp7BptmpdesM3nztMJ79/o8K7Uq/N8DcxQUszC3hkc888I7HGWHLtk3wAx/ZZesoANi8dRZ79u0qHueVF9/A/Nziuo+jtcbyYvs9E5v2cgfddhfDYQRjgDxXa1KZz54+f0OIzbWwIZ7/4LBBbG5CmJH7Zx1YrWGy7LottbRaSMC4BDggqzWo4bBI2ZWlMlnANa0eGBgJcI2B8ANoRfZhnacIx6eov8qMLNO0+oKxsGkGJSRF8UsPcMnIViuadDAUE5jSzKzLqBkCYYncTL0OuOdDA7Aqh3baIQAUaMepLmJUiKkGAxL2WgNeKiMfDuHX6jDa0GsnOKDdtEZQJxT1TFGZZnHextKqq0LWZq81DtXtwKgMOk3cGiqh9RdnsBbwm+NQ0QB5NKDJUalCfU2Mu2lJClGtwURDVxtBGhPmCkBHBE8NByt5QdIDhADnATzPhwhC5P2+ywDkpL3Jc0Arsv+ntAr0arTeYsKD3xyjagUhSdOTJNCu14txAatNMTUCc/b/QR9erQHmU1knk5TePFp5kSCb1lxMjIpIc4igBK9GPVMqGtIkx01iuO8X+itRKsMUZHrtN2R++drJXvEjG7hODPpDvPDsyzh25FRhnZ6YGMMjn7l/3QtorzfA977zA5xd1S31CnsDB+7Yi4c/df+aKUyn3cVLz79WkJrVOPjm29i5Zxu2btt8zXOcnJrAZ7/wCJ5+6vkiiA+gGorHHn9wDTm61prr/RQzdjs9HDl0HP3+EIN+H0sTbWzaPI3xyTFwzm9Y6WNrrImJyXEszK9P0Hbu3n5DjrOBK7FBbG5CXJ4Nc8X91xOSVvywW1txDmYtjPQRjpOQl3kedDR035DZGicB/a4FL1ddazcRJJMmYD5ZznUcFSF12bAHzyp4jVZhSx89xmjka2HhV2tQ/R4scwm2Kgcb9VsFAZEd2FGoL7igrBev3kLaWQasgSxVnAaHUnytUoDVUElCmiCV0/bG/YzwQ3JDWQsYRbbxNC06tUQQQMcR1GAAUSohGJ8kB5iiNRWLYyJLnEOWK8i6yzSVEpLmIHmOtNumFnOVu5ZliazbWSvi1oZcZqlzcI2ep9b0GghaK1GRKOUMmSwH9z2YNHPBdww8CGC1KYTc3GXU2Nz9TE6FmnbVxM9aDe5TnQT1ehGRkZUadJ5RL5b0oGOaRslSeQ3JsNqAhZKiAPygEEnrJHL1EiswWYY0byNojUGWyoW43DqyrOIIwr9SCybCtTlJG7g+WGvxox++gsMHj625fXFxGd/5xvdx9wO3XvE7b756aA2pGT3OW6+/jemZyTVVBgvzy2uIyGoYY3Hp/PwaYjM/t4izp8+j2+6h3qhh6/bNmN5EtQW79+3CxNQ4Ll2YR5qmqNVrmN08jbC0Vgw8NT0BKcW6+pQg8DE5PXGNV2V9XLowj8MHj6HWqBWZN2mS4vTJc2CMYWJqHDt2bX1Pj305/MDHfQ/die988/tQ+dq/2dMzEzfsOBu4EhvE5iZEUXp4tfvfxR9/xjlkGCIfkmCVs1WpwsbCGAPh+eBC0MpnFYzWYALOFTNS84qi04hJSTqNahU2S5FmCURYplVIErnfo1+z1sBvtJAszdO0iQtKCu53oKMBpfT6PsLJaSRL85RP4zQwslqDVRlsnkGELmjOD4r035FOw+Yp8jRGMDlN5EDrouVa+CGtXlw9g9doUiO3kJRHwxj1JHEibF6lBiNCZO1lyHIZ2bAP4fluOiLBfEEFn3FE4l7pwSvXkGUZZOCRwFYImoxxAe55JPr1fDBH9hiX9LJ6AVmwdQ4TD2nVVq4i8Hzk/S4lAzMKLIPw4FUbUFEEqxSy7jK8ap3s/74PkyvoPAXzmsDqEnZL5ESWK+65A/mwX5BAADBOB5UPSKC+dirI3OOvTBKZ8KAGV0l7dZNCUWvAqzdIxKxUEcq42uI9CmKEZVDDAeXcvIci108qFueXcOzIyStur9WrCAIf/W4EpXQxiRj0Bzhy+PhVH+/Qm0ex99ZbigJKa9/5i5Ze9UXs+JFTeOo7P1izbnrlpTfxmc8/jH237gYANFsNNFvvrKWampnA3fffgZeef634YiSlRGusgV17tkMrDaUUJZW/Cxx9+zgW5pdwz/13YHlhGYPBwD1Hi7mLC7jvobuwdfu1p0/Xi127t+PLP/N5HHz9bVy6tAApJfbs24l9B3ajVn//AuUNrI8NYnMTgvseha+t18nDuQvQuz4YpdzayNDEQIiCpBS6DTcFACgvhgTGli7IbtXgVWvgpQo8gKYmQQiVZxAjN5AFMGq/LpUhaw1AKdLTcAYelGBUThcrKcCFRNbvUKO1tbBZiixLIcpVlKY307Qlz2HCkAoipYSUHoW9JTFZvZ1OhLlW71GonkpicD9E3l2mFQ+jP87c80lwHA1g8wxMelBpTIWiTudDUyiGdHmBHGelEqUN15pUjdBrF1UIerji8rBZChUN4NfqyHsdsHIFo7Z10rXElJCcZ861VSE3G+PgUiLttul5VSpQwz7yXgey3oDfGIeK+vQeuSmHdkWZcFMTxhh0NIDJfQrI8x1xdOsu45KkpQtjlEEJKk3pPRZipYrDkK5Hlmk9SeJ0CWMMrflWBflxPwRz2pyrgco6LZGuIAQC0on5IAG5tRZciCLGwAh3MWTkIJPlyieS3AwGQ3SWqdJjfHKsqEe46s/3I+SrJgJSSkxMjeHtg8dw5uQ5BKGHxYU27rn/Duy8ZRvyXK07CRlhOIyQ5zn6vQHyXKFSLcP3PWTZ+h1hMzNTAChR+OnvPneFhibPcvzguy9gcmoCY+PN63oNOOe45/47MDbewtsHj5ITS0qcOX0e83OL+JF8FbObp3H/Q3djdsvMdT2mMQbnzlyE0QbdTg9PfPlxvH34GHrtPoJSiL237sI9D9xxxfTo/WLr9s3YvHUT4iiBkOKa7+cG3j82iM1NCMYF/Frziqh7xjm8RvNKbcJVoNPEiZAVmB+CZenKhTUIIcsVmCxD7qL7mZSuUqANk5JGRqkcQWsM4BzJwgUIjxq6YQGvVodKUzCjYC01f9NUgpxaBqOgQFtofciO7pMAGQxevel0raT50YpITLowR+sQN3HSUeTC6zj8eosmQLVGEQ5oDJU8ilIZMghhlEJ58zboJIVOIviNFgAGlUQwxkA6chHPXyQCJwRNjjgJna01FC43HFDtQq+LcHKKyE+WOtfYKrh1Xe6Ij4ojIn9pQpMb4Szg1pVxOh2V3xyjqYdWkJUqOcicW0oPB27yI2FtTOsnlbhyS1em6RrVR1MQxiVgtatPoH6rEfG0xoB5VIeghkOyWXMOEY4EwIomOJ6PsEr6GVutU8DjqMCTMciwDFmpFtOXdUtbAYCzNcREZynyXqf4TFujoY2FLJXXTIJgLfJ+t3DOfVKglMKhN4/ilRffKFJ4xydaeODhu7Frz46r/p4f0L+30WRjfLKFJ7/1NIYDes/8wMPF85cw6A1w/O2TGEYRNm+ZAWBx8vjZNY/FGMO2HZvx1Ld+gDOnz0MphYmpcczMTuHksTMQlxVG7rxlG2Y2E7G5dHEB0TDGekiSFJcuzl83sQGoJmH33h3YvXcHXn/lIH7wvReKczSaSMryUgc//X/8BCYmx675eIwx+C4ZPE0zXLo4D+lx3HXfbQBjSOL0hpOaETjn7xguuIEbiw1ic5OC+z781niREMuYcAJOQRfWLKW6AI8cRFdWKOTIep2iP8o6R4v0qhRMV2uAC0H5MCovHi/v9ygErlqn9Y5WUGlCRCgsAWCwmYZJY2R5Br81jny4ElQ3KvD0Gy3oOIKOY0oYDUPqnRpSEjFjnKYnXcqeoY4oCa9CZEvWG5QPAyDvtukCyhhMpmAEdVxZ3yf3Tp5BVuvU0qByJItzEOUqdDwkDYrnIeu0AWvAS1WEE1MruhBD2pJR+7W1FshzQArSvUhaIQUT084hJAETX3lBd6ugrN+F8EMwa8HDEILxYtVGExFKKM6HfQjpgxkDWEbvnzUFqRnl0KhBH54jPPyy1Rtz1QwqHpJ2RynoNCKRdhxBR7YQ8FqVQ5arLm2YnjsDTVV0mtJ0xPdpeqM1RFBaQypkqUQ5P4wVWTOjcMhRi/jlkOHKH3Kj1RpS41406DSC1YpSmy9zAeo0/kQRm2Nvn8Qz331+jQ15abGNv/jW0wjC4KrZLFPTE5jeNIlLF+ZRKpdw4ewlIjUAGGeYmpmAkBLf+PqTYADqzTo6y13s3rsTn/3iozhy+MTKY81M4vCbR6D0ynppcX4J9UYNB+7Yi4W5JQwGQ/iBj/237caBO/YVE4j13E6rkaXpe3pdomGEN149uK49OxrGOHHs1HUTm/0HdmPu4krtQr83wPJSB4xz7Nm/C61rrMg28OOBDWJzE4M7kjACVSMMkfdX6Rpi0tz4jRbpThyom+eycbO7WGqV0zRE0EooqDehsgTZ0iKE769cWOEufNEQ0NpZh0l0y8MSOZuS2IXTkUBZlsrkrhESvFqHLFVgjKYiSzA6r0BDlqvI2ksoFKrWAiNbeViC9EhkmnaWVlYlLnfHggS7HoB00Kfyylbo8nIM/OY45dQID6JSAZceRFhG1m3DJENoT0IGZbKQByGtQTJ3wR2JkpUiC7bKANCKJu93UZraBJPGMBmnIkljSGfk2swZ44CQsFmKfDCgIszJGdeMncMq0vx41RryThtoNGg6ZAzVIjDmiCyF11ijyQZdrQNa0/lyQcWW0gfzPXiuDNM6IfjI8WVUBpOlEOUy9YF5PrWM04eLJkR57qZUDMytE3lYIot2nhWVFkRa11pUGWPwylUSY1/2WRNB6Nab7qOXZ1eurax1WUL5yudg9cf1HdYlHzekaYbXX1n/4p3nCkcOHr8qsfF8D49+5gF85xvfg5QSB18/DICmBJu3zmBychzf/PqTGA5jeJ6H1ngTYSnA4YNHMTbexNYdm7Ewv4RqrYKJyRbmLsytseEDQK/bh9EaP/WXnwDnAkHgXzGBqDWqayZHl6PeeG8pu73u4KrhfgBw7vQFPPjIvdf1WDtv2Yazp8/jxLHTa25vNGq4+77bP5Grz48jNojNjxFMnq0lNQ40aemCtyZWKhOu4Zxa7bwqgv6kBFv9kbAuwVZrqlVgbCUoTlKzswURMKMURKkCEa58w7bWQuc51LDnwu4kOY5UDps4lwWnXqORDdnmOWlIeEr5M9pNcyx5gXWWQoZlumhyTtMqHoKDwXq+S0ceUhaO5yNrL8EoRZqWEqXu6mgIFpQAYxCOT1LsP5jrgvKcZVpAJQmRKukVhMNaC781DlGqQGcJOJfgQQAVRVD9LjmWjKbgP8+HX64gWZiHtWShp9RiWtH5rQlAeLSKydLitdBp4uzYFtIPqdZCeAgbTbrPkF5IlKvQ0ZDuNwayXIZXqRLZlAJSlovqDOFs/VZryhBSOfLekNKKTUqWdklJ1FzQRM+aHiVJM0buLk46HR6EBeHmvg/PEUmdps5lVqKi1NVi9PWcfqO6crv+/Z+klvB+b4BOu3fV+y9cmEOe5/Cusoae2TSFn/krP4lLF+dx7vQFBIGPWqOGWr2CpcU2TXAYIwE6iJTW6lUcOXwMX/xLj+PeB+/C1PQEnnvmxStIzQiDQYThIMb2nVvWvX/T7DRmN0/j/LlLV9w3PTOB2c2UO9Ne6qDd7kBwgYmp8WuuaIQkC/bV2riD4Po1K+VKCY9/4VHs2r0d589dxOZtM9i+cxt23rLtmoLmDfz4YIPY/BjBuFGuNWaFuDBOlug8X9P5cy3n1OXOq1EX1MoFxsLkytnCJbjnclQ4ZbVYayCCkmuN9gFYupixlS4qNRwgH3TJwaMVTXWkh2B8ArnWxWON1jpW5SQI1grMrgpvsyRkdieOUVUBk9Q+nXU7zkJNKw+vRmu0bHFl5FwkL9sB/NYkTBYjXWw7chRS/5I2yAc9StX1A8rBAdy6JwIPAgoxXJon0bPKoVzUcdAag058ar0e9gDOKXSwvQTuSXBRIk2JE1PrhCzPJokhyhVAejDREGCAV65S2GCeU1CiUQAYsl6HCJPL4UkunXNETJP92hgimF4Ak0QkNvb8VcMQ5x4zmmolGBVlZsN+0fzNPB+iVEGyvEAusFVFpLJcgVEaIk1pAuQ+Y8LzSM9TWT9ZFkCRsHz5Z45L57Ra89mj93k1Sf64w/ckpCeKDJrLEYTBNfNVGs06Gs06ek/08aPnXqXH9T20253iZ1pjTQqk8z0ADFobCClxyx7KVPGvkSIsxNUdm37g4zNfeAQ/fPolnD19HlprcMGxZcsmPPKZB8A5xwvPvow3Xj1UdEbVGzU89Ni92LNv11Ufd2y8hdktMzh7+vy69+/et/Mdz/lylMoh/MBDp93D4bfexuLcMuYuLuCue2/Dps3vLfRvAzcXNojNDYLOUpjUiXMFBx99a72GdfvdgCYBObSrAxjBCEFllKtGwMwLcEVxoQO1Ma/95seFhFcqIx9S0JrJM7pQ5in9fFBy38hpQsTcNz/uuQuTWz8V55RnJOx1qbk0JUhgogSZ51HAW4NBD4fUji0EhPRca7VzbVnjagqM05WgWP2YPAezlsoxjaZMGEullfmgD7962UXW1QV49RZ0PEDecVHnjC6oOqLsllEmjBoMyBrdGnOTpBTh5CakS4s08ZEeNZE755qKI4TTM0iXFgAw0rM4DYpKE+TxgHJjnE4JXNCqLx4gWV6kYwsOMI5s0INXqSKo1pB22ihNTCHtddy6iiZbJk/p6SpFAm3X92WGA4imX6wRwRj8Mq0IuJSUMt3tFp8DlcRuUke1Blx6yJ1bTVvrWtSJ0KpoiKAZQKcJTc5K1y+GHHWYXb6O4p7nYgZWTQk4h19rrFmtftxRb9axa/d2HHzjyLr37z+wu7BfXwt79u/CyeNnsLiwDKM1xsdJf1IqhxifHEOapOh2KWV7anoC4Soys23HZrzlVlmXY2JiDBNT4+947NZYEz/505/F/Nwi4ihBWApcJo3Eay+/iWe//yP0un0kcQLpSQwHEZ769jMolUrYsm39VZsQAvc/fBeWF9sYDteK9vfs23XVCdLVcOrEGXz7z76HPMsQRTHSNMOJY6dx6eI8fupnn8DUe8zI2cDNgw1icwOg0tiJU4lYGACIY3iVqhO13qC9Lee0irgMFIWfrckGEZ4Hv9Ekkeyqb8JcSnj15rqx9aJUgcpSmGjo3NsUCOdV6zBKw1jrSAZI6FutFvxKliqrRKVm5TwZxeqreAAufYhKlSYX0YAErbU6CYxdQzcYg1cqIxv0iYjUGrR+s4YSjx2BEmEZaXe5CIobPUdrDDiXRQWEThNyLGlNFQu+h2RhuZgScc+jSRijSH+/3kKepeClMp1LuYZ80IPXGANjDCoeAIzDqhwWNFWw1tJEKE3h1xo0GeIcnHMk83NFyrMFQ97vUVpxtbRS+KlzqJgcWTIsQVbrRByqNfjNFvI4Inu30mBSwGuMIWsv0nPmHCPXGU3xaJU1iguwSq+a4knIoIRMj3Q29LowKaGjgUuSJns/GGDzHPD8UY0UAOowY1xAJ8m7IzaCPneXC4iF50PWGyuJ19yRIPHJ+9N05z23Yf7SIhYX1vYLbdu+BRNTY4iiGOVy6ZqP02w18BN/6XM4cewUjhw6juZYA3tO74IfBJifW8TCqqqCPft24eCbR9BsNTA20cLmrTO4/c79ePMychO45uzrsSoLIa6oO4iGEZ7/wct4++AxJEm66mc5tm7fjKNvH78qsQFozfXT/8cXcfL4GZx1q7Zb9u3Eth2z78rJpJTCa68cXHcyFg1jHD10YoPYfAzwyfvrcYNhtYbq99a1vObOAXSjnB0MbN1vvQDlilx+BtIVFJqMChGZEOu3f4PIiMnTQo8CuGmMVlDRkNqta3UAbgrEOVSSghkDv9mCLFeIsCQJ9SopBRXHFExnNJgkR1c+6K8kITOGrL1I9m2VQycRgtYEtKGLrWAMOs/JYRUNYbSBCEPISs1NEAZgbvoBWOqSShOX2eMu6KO/oYxBXhYwN7rdzZTcukwV6y6VRBQUJwRZr6VzNgkJcArg06M8GMZg8xzpoE9al1oD6dI8mOCwijqaRtMzazSt26R07eeM0oeFRN7vwm+NQ6uc7PqD/qopD6OQO5XTc3aTLKtpWsOD0KUwO/dSWIKsVOi9cJUHTAj4zSbywRDW6KJPakXsskocLKgfag3JGNUxXPZpM0oVJPNq4XrCD8BWlaKyUe/XRtowAGBsvIkv/cwXcPb0eZw9cx4wFuVqCUsLHfzJH30L5XIJB+7Yi1tv34NS6Z0JTrNVx70P3Ik77r4VJ06cwLadW/BH//3PsDC3SPlBnOOOu2/FnXcfwJlT5zE+OYat22bR7w2wZfsmTEyP4/SJs4iGMWY3T2PXnu2Y3jSFaBjh4vk5DAcxSuUAM7PT1xU01+30cfD1I2tIDQBobXDm1HmcOHoan33isXf8Ejg+OYbxyTHc//Dd1/V6roded4CFS1dWHGil0ev28aPnXgaX9GVhbGIMW7fOolxZea3jKMGli/NI4gSVagUzmyavub7bwIePDWLzPmFU/o4hZSZLbxixMSqHV2tARX3odCXMjMLqPLB1yBUTEiLgV6S9roa1FmowQNbvrjQ9A6T3qDXpQq8VWcE9j0LcwhpMGhNZCkIwTq3TatSLJF1PlDUwKoes1JAtLYCHIQmHGYOxxvVHpfDHJ0gnA46820EwMQWbKyCNSecRhPAkHTttL0JWarQ+yVJwPyCdyShQTmvIIFwRSBsDHvrFlAacAcpe/iK4582KtGJYeh7p0gJgNCX2ApT1EoQoyIoh4sIYg5DCWbRrMEkC7vvkhHLTr2Kql+ekURll+AC0FgNoyhKWKIWXCwpkZMPiZ0yaUA2EmwyRuMhS3YXnw2s0wIRHWiylkCXLK9onraDTFF65DONEyOnSgiNgVGQ5eu+450MnCeD5xXmPNFAyWGkIV1GEPBoUz4P7IfxqjYTJl4ELQdOwDayLeqOK2+7chz37d+LZp1/Em6+9XdzX6/bx3DMvYdAb4lOfe+i6VlOccwwGA9z34F1YXupgz76dGA4iBKGP7nIPP3r+Fdx17+14+skfIgiCogCz3qjhs198DFtWObHmLi7gqW8/g+XlTnFbrV7FZ594FFu3b4YxhsTLZy4gjhKMT7SwZdtmNFt1xFEMbdYX/15R5fIBgl+WrQQASmucP3MRYAzNVh3/z//4MyzMLyEIfNz38N343BOPYfe+nbhw7hK+/xc/LJ4/Ywwzmybx6c8/ionJ1gd+7hu4ftw4AcgnFFezNhb3X6P36d2AS48EwmEFQXMMQXMMfqPlGpfVFQJNnSbIum0knWWk3WWKyl/HLWVUThcmAGu0DhZQ/T78WgN+cwx+vQm/OUYZN06PwaSkFU0SI+u1odOEsndcL9DoNaDzcxd24fqdlCJdUpbCxDFNPwSH3xiDjobIB10wximFNiA7d7q8AJvnMFlCkyVnUbbGwOYkPhaeB+nWZ3DEyxpNnEZS0efKc1wRJjM3XSItCyUCW6UwSmEe1TvQeyHJUu7WYzwMqek7S2kNlCXgYVjYrZnTz1AJp0e1FHFckBmyzI9s7aDMGmMo2wa06mNC0nAnSSgjxiVDr54GMTCqVRj2waxBHg2v0Hlx34dyAX4wGn6zBSbovTRpTBlHI2LIRaGnEn5Az1VKajIHKOhv0Fuz7jQZfe4ub6ffwPVj7uICDl1Fb3P44FHMrzN1eCdopdHt9DAcxrAWiKIE8/NLgGV4/eW3cPjNo2vWM71uH3/+Z99Fe6kDgJrAv/edZ9eQGoDcXE99+wfotrt449WD+PoffRsvPvca3nr9bXz/yefw9a99ExcvzIELgT37b7nq+W3f+eH0JjWa9SsqE3qdPjrtHmY2TeK1lw9iaakNgCz4B187jCe/9X0cP3oKT3776TXP31qLixfm8fSTz14zw2cDHy42JjbvE3SxuXr6alEGeQPAgwCIBrQyuew+WSqvsceqJEbW77q4/SG0Uo4kVK/IvLEunI5x57Ba9QduZFNW0ZB+x1LoFwsCl7fCoZOEWqxXBXDpLIVfawJKwBhdTIGYlIXgVoQl8LBEj+lJ6EEPfr2JtLPkUow1VDyETiJaaRVBdmQDtxLwxyaIlDl3lc5Jl8PDEkpT01BpUkxOZKUGaw28egNZZ7kI5ONBAJPn8OtOk6QVTM7gN8cozM4CTAonnh0jIfSo7oIBYiQ6jqMifNCCkTCWi4JMijB0YmUNxgMiey73hnleUbTJwOjlcqJem6fQWkFWazBZRp1SWqGyeRtNydIEolojm7XvQ0VDel5OE0X2/JV/6owx6gfzQzBOpJA5dxesgWUMvu9DRxG4T4JlUQogvABcCohy1a1Ec+TR8IrPqdUaSuXg0RCyUv1E6mXeLxYXlq/6pUkpjeWlNmZmp4rbjDG4dGEe585eQDSMMTE5hi3bZiEER9RP8YPvvYA3XjlE4X3DIfJc4c57b8OefTvxP//rH2Nmdhr+ZRO2OE5w9swFtMabuHhhHouLy5efCgCqgDh54iye/8HLV1iy+70hnv3eC3j08YewdfsslhaWcebUueJ+xhjuf/guzMy+dzfSwvySCyUcotGqY/PWTVe1bjPGcOe9B3Dx/BwG/QG4EFhe6mDz1hmcPH4GfuBhOFgh5L3eAN3uAK+++OZVayguXVzApYsL2LbjxnVMbeD9YeMvzvuE8DzIUoXaoy8Dl3JNSNn7PpYf0MW3313zDVkEpDsZjVitMbTGAEjU7GBhkHU7gDUIxqfWveCM+pessat+z0JWauBSQCcRmPRhjYJ17imjFMXsV6tQcUzZLxaUwlsqI2iMUblkEsFkGYXKhWXoJKaQOgbIah3h+CTyYb8IumOF6FdAJTGCegvpMmV9MM/CqBx+awJBY4xyYBjAgxKYFBQqyMktxr0Aea+LrHMG/sQMuB8inFgpyqR+pAryQY+mUK5tnHuUX8MDH7Jcowv5YABZr0MCMKUSTJZBaw016BNBdHobUSrDqzYQz1+iaY21RcmmrFTBhOcKRcVKRxWAoDkGraiMkucedEqTrDRJAFdMKfwSRLUOnWXg5SrCegMmy6hjqt/BSPAtwrLr56K6DCrCHMUEkNVbliuwlohNPlwbguY1mm5S5LKG2NpsGVrZrXwOrbUwWVqQvpz3YfIcslJ1OqENXC+utWZafb8xBq+/cvAKYuH7Hrbv3IJzZ87jh0+/jIvnL6G93MXk9DiCIMDzz7yEyclx1Jt1jI03IT2JerOGIPCpV47zwoUUXeZGWg3pUYfT1XJm5ueWkOdZoRE6cMdeLFxahPQlJQYzYPOW90Zsjh89hTdeOYTcacsOvXUU0pP4wk9+Glu2za77OzObpvDln/0Cjhw6jldfegPVag2337UfT37z6SuE28YYGGNw5vR5zMxOrVsZYa3FcHAlwd/AR4cNYnMD4FXJTpvHw0JvIYIAslq74d9WZam8YrG2thAEr9bPGJXDwiIfrJ/WmQ8jeLUMvETnxlwA3ejxREgR/KPJjQhLEL4hF4/0aDoTD2ByVRzX5BnyYQ/B2CS5alwwnLXGCZJL5HDqdSErDeT9dkEEuB86e7iBDEvQXJD41/ehTeLWORWXqUNFmMIPwIMA+aBLeSsqh1+twyRxEWIoyxUYC6iYSjz1UMOmQ2RJAr/ZAqylKYgjaDpJwTlNSwpy5/Jb8kHftYELZIvzEGGJxNDDPriQsKtbr6UEYxzJ4iWEE1MwSQQVDWmCE5Sg0xhgGcKxSag4pnqJSo3WXJyBKZpUCS8gQXSSQHCqULBaQZZK0NEAOhoiaI0jW25Tl1PhkoKbcvnQMZFJ7nmueb1MImLGADfFYYzTZ9WJq63T3lxNaL7yRNdqFVaTGgAAp5LMrNumz9UNnF5+3DE1M3HVUDo/8DG5ynZ96cL8utOS40dO4eyZC9i3fxd63T5ypdBsNdBe7mLLtk3gnOPtQ8fx0KP3otPuYGbTJN587TBOnzwLrQ3KlRKe+PLjiIYxypWr66KkFEjjFJ3lLrTRCMMQ5Upp5YuWtVC5wiOfuh/PPv0CTp86j1KlBGMt8jzHpz77MFrvokOqeH5HT+EP/9sf4/jR09Bao+7Sg6UU+P6TP8Rf/oWfuqqLrNmqIwg8+J6H9lIPRw4eRxzFaDRq6PUGxbTMD3wXdliFyhS67R663R5UrlGtldFo1hGEwQfWMbWB94YNYnMDwLiAV6tTJ4/LYeHS+8DEcFzKd77ggOLxr6hUKEDfrOFEnPyyqRPjHMynkDoRliGCEtL2okuf5WBauwsYK/Qoxmi6CEdDcD8ggWupRMWNWUQOJs8lDyfRShicH8C6TiqrqKKBh2WYeAiTowiBM1kKIQRNppxLKWsPKA/GGIStcWSdNl2YnbYj73XAg5AmInkOr94ibQjj1HqtabqS93soTW8CjIZ1uhVrKeU4GJ9C3qZaB+aRxgnawK+3kC4vIJyYQt7rknaGMUo3DkvQOU2dTJqCl6vghtxEJs9g0oSe66AHWW+RjT9Lac2YZ9BpBq9SRR5HCBoNMM+j+IBSBcL3ieCpHEaONDervkW6rBsRlpG2F2nd5/KMdEIJxV6jCZtlyLsdaEm9WyIIi/9d/+fQI92XymGNuUJTIzy/IDomTT7RxMYYgzxX8Dx5XaLf6ZlJ3H3fbXjphdfX3M45w30P3InxVd1IZ9eZlmRphmWnFdm1exs8n7RweZ6jUi3DaIMDt++FgUWjVcfYRAvPfO8FLC+uTHjTJMOxt09iYnIMDzx8NyYmxq5YR6lcoRMnaLWa+OEzLyLPcpTLJWzZPottO7agXClBehLVahX1Zg1PfPlxzF9aRL83QBD4mN40hVL53ZOC5aU2/t8//AaOHTmF6U2TCIMASZrime8+j0999qFiNbdr9/Z1f//Z7/8If/w//zeiKALjAtHhCFPTEzhz8hxmt8yg1xsU74Mf+Ljnvjvwja9/B8ePnC5Iz9LiMsIwwIOP3IOZTVPrHmcDHw02iM0NBJGNj/4l5VKsm/S6cr9c822bMQavSqsmFUUUoy845a2EJehRWJ8iizJZqqniwD2iE+GSzkUEQXERB0YCakthfIaKLUW56koYqT6ACQnu+9B5DulavkdptLRGsWBBANXvkUXaOgs1A4SQJIzOM5rmlCok/HUXczGayigFPejCKgVZrSOol0hb02jBgsOrN6CzhCzmlSpdrOMhmBTwgyaUyoA0Jds1KHzPpClG3U8AoPMcNo6o0iEMYWHIuSUFrQUZaW+osdvStCmJIT2fbPJ5TgQxyxA0mzBpBhVHyI1BKEVhZ+eeD69ah9XWvYcr74as1aGSyKU5K6pLYKSL4lIiW16ECEIiiJruf6fMJWt0Mb3jTvgMEAH2anVk3Q6tuFZJQrxaHWZVkeKaSc5NhmgY4fy5S1icW4Lne5jdMoPpTZPXTPq9HuRZjpPHz+Dgm0cw6A9Qb9Zx4La92HHLVsh3+HLCOce9D9yJsfEWDh08il6nj9ZYA7fetgfbd60V2kbRlesRrQ20pn93nHNIIVCv19Dt9KByhThKECcJ8izHrQf24PTp81hebCMMA5QrJeR5jonJCVSqZbx98BhuvX0vPvOFR/DdP//BGgFtlmXYtXsHTh4/g2q1jOWlDobDCMePnEKWZth/2x7sP7Abk9M0YZJSYnbLzPt+XU+fPAfLLO6451YcPXQCZzo91Js13HH3rThz6hw2b9mEI4eOYWF+EVu3b8am2enis33y+Bl87b//KY4dOUlTmmYDk1PjGJ8cw/zcEowx8AMf09MTmJwex60H9qA13sC+W/fg0oWFonkdAKq1Crbt2go/+OTUf/w44KO/Cm/ghoOC3srIXUjb2vu4IxHBFbfLcpXWUK6QsQjxyxmtlNIE0quRS8atmgDAMg2AFSstJiRkSSDttGFzWoMAjNrJrdPP5pkL8XNlj8hhfQVZqpA9mguqWHDn6VWo8kCWq1DGwqSxM3DRlCTrdcGEhFcqUdLvsA/GODmSpAfd69IaSymaisRD0vDA2belcGubFH5zDFmvC4AC/HSSwpoBgtY4bKCoBDNNYTkVRubR0BEg1ynl7N2jMlA9HMBqDb/RpKmGsRDlCngQIu8sE5lK7cp0SisIIWjV50l4XgM8zZD3ui5hGUAcQ4QleLU6rSZVDiboNeZSIh9kgFawnANaw3IGwSWyQY9E4kavqd3IhwOabq0WlVtLKczD/gqxcSJs6SY7Igjht8acYJk+R8IPyMK7yt7LblIB8fJSB099+2nMrXIZccFx34N34p7773hH8nEtGGPw2itv4dSJs0gT6tHK0gzPfv9H6HZ6uPfBO99xquv5Hvbs34Xd+3ZC5QrSk+v+/PjElc3Wvu8hDAMolaPeqEEIjnKlRGLiKEajWUOpFOLBR+7BnfceQH8wxOd+4lNYXlhGp9PD+OQ4ZjdPodvtI4lT9LsD7Ny9DV/5+S9Rjk0/AjiwcGkRf/y/voEkSfHoZx7Am68dxplT56CUQjSMsHX7Zjz46D3XPb3WWuPShXlcOHcJaZphcnoCm7fMoFqrrPm5pcU2giDAn37t28UEZWF+CUcOHceDj94LC4tBP8KJY2fw6otv4ZFP34877r4VvW4fLz73Kt4+dLz4+xVHMc6cPg8uOPbeugv7D+xBrV5FuVzC1h2z2LxlE5757vNoL3fw+BOPIklSJBHl2EgpcPzYKdx+135Mz0xe13PcwAePm/OvzQbeN0SphGBsAsnSAglkAVcM6cGr0EpjPbBRf9MqcM8jd4611EUUlqBW6XeYszDDGljDkC0twDJKm2XlCtSwDxHS2otJCRkEyPu9lamSBU0Xsgys1iT3kqtIGDm1tMopCJEBXrUBxpyWyFpwjxxGXqNFjeEuoM5aKsSEsRC1RkGGmOeDCQk17CMcmwSCkETLWsEfm0C6vASrshXyZg0YY0i7yzQlyTPk8RB+pYp8OIAMQuRDSlJmTECUQsBY6CSFrDWIyTlxowV1NXGji3WhCELoLKHpj5T0XnmUQ5MtLhHR6iwRaQhCgDNwzou1FvN9SH9VTg/sStrxSNxrLbjgUFkGXqJ6DLP6cyEFTJatITY6Idv2apgsQ5Yvg7XGi58Vng9ep2+sOk3WtXmLGyiiv1Gw1uLF515dQ2oAwGiDF597DZOTE9hxy3u3IV+6uIDXXz6IF559uehG8gMf9z5wJ44dPYntu7aSePYaYIwV+TLrYeuOzahUy1R06SCkwPSmSTSaNVw8fxGPffZh/OB7LyAIA5TKJdyydwe2bt+ML/7U4yiVS5BC4odPv4gkpsTw0yfP4Q3Pw+NPPApYwPPpUlEul3DLnh0AgJPHzuCtubeLCcZrL7+FzVs3Yf/te1EqhZiemUBYLuHN19/G9MwkNm2efsfkYqUUXv7RG3j5hdeLbBsAmJgcw+d/8jNrsmKCwMerL70JIXjhVrLWIolTPPfMS3j00w8U6yStNZ575iVMzUzg3JmLEELg0c88gNMnzuLk8ZWW74vn54hM7tuFL/3M59ec23AYIc9VYbMXQqC9anKVZzfvRPKTiA1i8zEFrZfo27yKhkV5oiyRZmY0jdF5BpMk1D/FOKUVB8Ea0TMXArJSpclEmkCUK5D1JlSvA4jR2svCag2vXEXW74ILCRUNCis0tVcLCC+AznOIsEwx/itnDB6G5B7SlCXjlStQSUykwWiIMITJc+TDPvxGC6bfhd9oII8G8Bo0NSgSdB25YYzDaAUJQMexy2DxYZxQ2hhNlmyVQ5arVEOQrdRWjAIAjSMmNPES1KXkHD+MMUAIl/Csi2MHY+NQw6HTFOUUFFgqw6s1YdIEyqULY9Se7aGw8jPGoNOI8nGylBrBXe4MvZ50rHTQQzg2gbzfd9tFqm4Q5SqsIz70eriAQHf+OsshOKcLiFKA0+6MYI1BHvVXdFqrAx6thY6jNSSIuaBIm+drLkoAo6nSTdj7tLS4jFMnz657n7UWJ46eel/E5vjbJ/HMd59f87pmaYbnnnkRT3z5cSzOL10XsbkWWq0Gvvjlx/GD771Q2MSllHjk0/djamYSP3zmBYyNN/Dzv/IVRMMYjDPs3rsTW7fPUmlmt483Xn0L8TCiz7KbruR5jme++zx+9ue/fEXNgLUWeZ6h0azjtjv34fzZS+i0uzhz6jyMponvX3zj+7j97n24/a4DOHb4BIQU2H9gN7bu2FI87zzP6bMjJc6dvoiXnn/tCpv74sIyXnruFXzq8w/j4vk5XLowj+EgQjSI0Gw10O30kec5tNLQWqPZqiNXOc6ePo9qtQwuBCamxvC///g7OPTmEXSWu5ibW8Ts5ml89icew8Vz8zDW4tL5OTCwdUs1ZzZN4ezpC8V/r9Y0lcrhdaUvb+DDwwax+RhjVLoogtB9g+drRsI6S5F126tExgy51uBZBlkur71weQGCRgs6S6H6XchaA361Tm4cOhgY51Ax/XEc/XHSUQS/NYYsjsG4gU1jWAYwweE3x6CzDLAU5mcNtWsHjTFwwWlawKmXaZTcy4OgSP4vTW9BHvXAGINfqyEa9ME8Sc/HdVoxKQEwGJVDlCsr7pw8ozwZxmjiUa7SusTotU3TbkrFPc8NQqjVXJTKgLHIussQMgCvVCBHuhknss6HfahhDyNCISs1MCmhBl1w6cNmCUrTs0R8tAYrlWFVBmsstYALXghNDUbJrNQFRWWghgS6aVrUFMBYyFIJQaOFpL1UHJt7RFy49KDTbCUwkJrNXOv4yqROpzHyfr8QYjPOydXl1oo6Swvh+AjC88GaYysCbnfcyysWjFb0u4xfQwT/wSJLc6j86qnhvf6VEQ7XizxXOPjG21fNojn0xhHc99Cd7+mxh4MIF85fQq/TR1gOsWl2CrNbZvCVn/sS5i8tIMty1GpVTE6P4+L5OZTKIY4eOQVrDLZu34L7H7oLt+zdgV63j5dfeA3zc0s4cewMytUyzp+9hHI5LFw+WmvUahV0Oz14vo9mq45Ou4sf/fBVHDtyAkcOncDi3BI+88Qj2LR5Gr1uH/VGDd/4k79Ao1XH7n278L3vPItup4c4TjA+OYbmWAN/6StPYDgYYnGxDSkF9t56C+IovurrFUUx/vRr38LSYgdxlGBqZgKe76HX6aPZqkMphSRJUa6WMDE5huNHTmH+4gJaB3Zj647NeO6ZF6Fy+veutMb0zCSda72GarWCixfmcNe9t+HBqzSN77hlK9549dAVlRAAcNsd+9Fo1tfc1ml3cf7MRbSXu6jUyti8ZROmZj4ZHVRxlCBLU5Qr5XecNH6Q2CA2HyPQqih3tl9RlFLStzBxxc/mg8EKqRECDCg6hcSwBL9WpzwV6UEGAXRMxZJGUSy/GgzAPA9etYasvUxFjZaOzT0fPCjBOAs845zOTyt41Tqy7jKUtZQEzIA8GsJqDVmtQcOASQ8WCZgxFGDHafJi49RNHTgyY+GVSmCeD6sUNZZrAwMOCBLmUj9VD1xwMFD4XToqkHSKW9vtQlYqyLvLZCMXHiw3xUUdRsOkmrQlpTK48KDSGLAGfhAgH/SgO8tEmoISID0iHpq6mHSWkXZIK1qnwQIVqnVIo4imYb0lel5cIJycQT4cQg26MELQ5A2jlGsSBDMuwKQH4QdI20uweV6IrFUcIet3UZqahXZZPCbPwKSALJVcX5cpKhWsMRBhiRrB8xxWK+TxSKBtXf6NhnZRBtzzKM2Y0VpN54oIIaMcpKuVYxqloOMIKh6SpVwIEqiXymv0Ph8WypUywlKAJL7yYgVgjaX6epBnOS5emMP5s5cghECv20e5HCKKriyu7fcH1+x7Wg/zlxbx1LefxpJLBAaAIAzwmc89jD37d61J1V2YX8S3/vQpnDp5CrVqHZ7n4dSJM3j74FF86nMP4bmnX8T5c5ewfecWvPX6YWzaNI3de3dgeakDxhhqtSrqjSrOnb2At15/G9IT2LFzGwCLo2+fAABMb5rEg4/ejddeegv/6w/+BGEYgDGaejz+hUfx7PdeQLfbQ6fTRRKnyLMclXIJ//n/+wfYc+tuGKPRGmvih0+/iGgYY9vOzVicX+u8CsMAc5cW0F7uYtAfYv7SIjhnGA4iVGsVBKGPKLLYvGUT4ijG4sIy/vIv/BSCMMBrr7wFzhkW55cKB9bC3CLC0MfcpQW89OJr+PwXP41jR09iYX6JkpbX0QNNTk3giz/1OJ575qViKhYEPg7csQ933HPrmp89d/YC/uKbT69ZDXq+h09/9iHsv23Pu37Pf1ww6A9w+K1jOHzwGNI0Q6NZw+133opb9u6A5324VGOD2HxMoPMcatij9F+3CpGlMgXrrXPRMIpqCQC4SQ4vEmvhgtZohZVT5D4YRFCm9YTKi+A34azdRmV0cbKOwKQxeEDWZ+6axq0iESuYExortULEAIBz+PUm2Zldtg1dxF1Yn1JgYYlWQoyvBAQOBzRtsXC2cwHmSajhEDDUu0Rllh7S9kJxLBGW3etlYHwPzA+hkuFKnsvqRGkL1xaeAj5Dtrzoyj2JXFjpQZZrgFHI2uQ6snnmurpCiCBA1o2IfLjJy2iyoaWAqNSKpu08HlKGDye3mWUAZ8xNrrgLzKMkY5OlVPvAedHuTTk0HgmCpYROYwrwcyTKb47Rei/PwQIBWa1B+CHUoAvl+rfABWStjnR5EShC/ei4XEoIp9PJhz0KQwSjMEQpISvVK2zjNI3rUvfU6DOoNcygRyvMeuND6QpajWaLHEovv/jGFfd5nsTO3duu+7FSt2I6+MYRWGvRbDWwvNxBt9ODEBKdTg+lclhc+Lfv3HzVb/BxlODi+Tl0Ol0EgY+ZTVMYnxxDnuV4+rvPrSE1AJAmKb735A/RGmtgYhUZO/zmMRw7chKnT55Bc6wJWODc6QuoN2o4ffIcgtDHoEdOxSRJcfbMeSRpinq9ilI5RBzFOHL4OB549B4MekOnX3kRWZbh1tv3YmmxjX0HduNHz76M5555CUppTEyNY3lxGa+++Cb2HdiNXm+ANEkL8misQa/Xx/lzl3DHvbfh2NsnUK/XIKTA8mIb05smwQWH0QbRMEaapJjdOoMjh06gVq/gwrlLAIATx05j1+7teOa7z2N2ywxmt8zgwrlLkJ7EV/7Pn8Sffu3bhQanWq3g1ZfexPadW7F1+yxqjRrmLi7QhMjYIhdo244tGAwinDp2Gnfdd/sV78vW7ZsxNTOJhblFKKXQaNSvyN+JowTPPPn8GlIDEOl95rvPY3yyhcmpj9/kJo4TfP/J53DqxMpqd/5SiqfmnkEURbj3gfc2nXyv2OiK+hjAao2836GLRnEhtlDREKrfXX+8625jQoILgbzXIXEtAFmpUq8TVtxLWa/jUm0BvzVOeS2Bj5HHlzG6sI7WQEwIdyEGNWFLD1qrYoUSjE/Bq9ZoleFIWDg5hbTTBrSGznMErfFijaET6qAahcAxp5XRKVm8VRJDhqUiC0e7ZnESTPsQ1brLGOIF2bDGUD0DABUN4ZVK1C8FS9qgsOR+XsAfGwcvlR3h68Or1cmF5XJ1OGMUWqgoXXiUNKzTpCiTtNoU7wXj3DWuS5gspxWboSRf43qcmKSpjEkS+M0xmgZZSxMlrSDLVeRJDMASKSjKNFGE8PFSiaY1nHRS1loYYxCMTSKcmYUoUzpx2llynVK0ttPDAfJuhxrdR85+Qw3wEAJMSCSLF2lSl6Yrn5HhAPlwcEUxrM4y0l5ISlxeDRUPr2xd/5Bw57234bY79q1xP9XqVXzui49hdvP125JPHjuNt15fWT2dPX0O0zOT6LR78HyJIPDR7w6gcoUt2zbhs098CqV1Qt2WFpfxjT/5Dr75p0/iuWdewvf+4of44//1DRx88wjmLi1ctSMqSzOcO7uiAcnzHM/94CVcOHsRAKCyHCePncbyUht5nuPo2ycxOzuDs2cu4OKFedx1zwEsL7Vx9PAJLC91cOb0eVTrFey4ZRsOvXkU9SbFGSRJgtMnqRKBMQbOON587TCCMEClWobnSYyNtyA9iYvn5yAEXzMRK5VL6HXJeDCynY/s6s2xBk6fOItyuYSzp8/j8FtHcezISSzMLcEaU5Aaay1OHT+Dfm+An/jpz6HeqMFojfHJMfyff/WnkaY53j54DFIKaG0QhgGElDh75gIGgwiMUfdVGAYIwwDNVh1799+C5hjVMBw5fOKqK7Eg8LFl2yx27Np2BalZXu7gyOHjOHvmwrodgVmW48K5uXUf98cdF8/PrSE1I1hr8epLb6LT7n6o57MxsfkYQOcp9QytA5XEEOXKGr0MQI4l7tMFVyfxSshbnkPHEYIx963CrTYYWBFcZ9IEslQFNU3HUHFE66hODus0G9YYMM9HODaFeGkBfrUG6RqrrY5pPRQEKE1tgoWFimK0L1xAtVKmC7HnUUt3tUY6HOnRJIYLCD+AyjMIThZtaw3pXTpt+LU6TaNysoqLIASkoNZxrSFK5RUSlhPZYMIVTjIOr1Il3VCWwR+fhAkTKqR0E6NR/YFRGuHENJL2IgXgCQ6bpRBBmTqhhAcRUn+UyVNg1OxtDJ0vA0ZrJThSwv2A8meUgs4y+I1xJIuXHEkdQJarCKc2kVYmiaEzyqcp/gQ74ScNmiyYFFRv4QTVWiv41QZMnkINe1CD/kohp8phFWX6gAsYkwIqhw1CeK0xyg6Cq+8oVaCiIfQ6egPtmscpu0cWlvG02yYnncs5kqUKTetGkQFKAR+BwLhcKeEzX3gE+2/fg26nByklpmcmUalefwO5dVH+IyilcObkeTRadTz46L14/ZWD2LZjM7I0BxccDz92H269Y+8VjzNy71y6uLDm9jTN8MxTz+OBh+9+x9LdQW9lSrC00EY0jFGqlFCTNdRqFQRhgEsXFxDHCTgDhCfg+x5ef/kt3HH3rXjw0fvw+itvwcJiYX4Zjz3+IG69bS9ee+Wt4nG5Mx0szC+hXq+i0+4Wji+ApkcTk+NYXuoUZNEPfMTObTU1PYHjR06SucGTyNIMWZrBGINqrQJ/vFmE6wFEJLZt3wyjNd5+8hhaY00wzqC1xoljp3HuzAV8/ic/jVK5hHqzikqtgj/4z1+FBZGosBRAG4NarYL5uUWcO30BmzZPY3mpA8Bi/+170WjUkK/SWiml6N/PdU4Qh8MIr774Jg6/dRSlcojDbx1FvVHD5q0zaxKbwzCgte3HEBfPX52wJXGKpcX2Vfu7PghsEJuPAax6538s6100mBDgfoB0eekKezcwqiFoUN6L1lAuFE/4HkS5BquV080YKslMYsh6kyzfLsiPQuhATh7PR7I0T9Mcz2lh4hhpruDVG7B5iiAIqDbAAkKS3VmUy/CqDFlnmQiHtVDxkMS+ktM6iDFXU8CQ9Xv03CSlKee9NsKJacALXDv4Iq2rPB9evQXV71J9QxjSHzMhSBhsLThjpN9xbiOTxjBKk9jY88n1JT2qjPADGMuQJ0Mw5waT1ToYF1DRAH6jRX1QnFY2o96okd3bZBl0GkMEJVhBr5+KBvDqLaIl1gJGI+ssQfghZd3wEH6jhbS95N6LFXG4CEtgjCPvkUPNqBzh2ASSxXl45Qp1hoFCFY3KnYiXIe/3ISsVt14izZWo1Fz7uFmZRCVXhsKNoJOYpn7u/2fd9krlhLU0fcsySkAucpY+3DXUajDGMD0z+Z5zSJTSazqEomGMKKL/jU+08PgTj2LT7DSiiKoJxifH1p3WLMwt4dyZi1c5hkKapmTzX2caAKCYqgDA8tIyDtyxF53lNiamxnH61DkMehH27b8FjWYdR98+iflLi6jVqzj29km88OwraI7V8anHH8JDj92H4XCIQW+ISxfn4XkeOOdoNOuIhhElgEuJXGlUKyVIKYtmcGMM5ucWsHvvTmRZhpnZKXQ7PczMTqFWq4Ix0jY1mnWcOnEWw2GEuUsLWFxYxqbN0/j05x5GZ7mDn/35L8NoAwOLZJhg74HdeO4HLyGOExg9SnH24PkeVU/kCoffOIrtu7ai3x8gSzMkcYJet4+Tx07jwcfuw1988/vU66YU6o0atFLYu28nzp+9hKC08vdx1y3brysdGqB/lz969hUcfJOa2BtNCrnstLvI0gx79u9Ca7yJSqWMi+fncOitozCw2LFr2w1xxN0suBYH/LDXzBvE5mMAxq7xj5Bf5UNlDF3QlQITvHCq0BpJkzA0TShV147cMzl03kbQbDktRwANEg0rp5dgQsDGBrJM3USlmVmnAxHgQoAHJSIkbgJjtSarNQNkqQbAFE3XJqWJkkpi0n44/ZDqd4Fq3Tm7VxxM0E5vkmewmtxM2aAPm6WwoDZvqzW0imgqUq0hjwaUnWNolWbyDH61DnBB0wynNRKlKqQHpEsLQLVKnVTGQNZbMHlOOiNDxzB5BjugCZHv+ySSzXNHYBIwJ7DWxkCUK5RKbDRMnq50dwlBlQlZRl1TgoNxCcNz1+eVQZQq8GsNGJUBucCo70uWKy7JOCNrvGtoty77B66sc/Q5sFrTe2F04YAySrnAP+rukq6ewlqDdxgcwBj6tmvdMQGshD06WGOI1DCKCmDe1d0TRikq6nRVJTcbPE9icnoc3Q4VtK4mHkuLbUgpMTk9gUF/CGMMskzh0FtHwRnDxNQ4xiconyVJkqsWSQKAyjU2b51ZYzseoVQKsXVV6aPKDfou6fh//7/fgTEWcZTg4Btv4+77bsNXfv7L+PNvfLc4V8YZ5i4u4ss/uxn/+0++gzdeOYhGq47xiTEkcYLNW6bRGGuiVivDWovJ6XHMXVzA5NQ4Ns1O4cyp8whKAXrdATZtnsbRt0+g05nAX/rLT6Db6ePY2yeQZTlaYw3c+8Cd0Ebj2e+9gO07tyKJUzAGdDs9tMabOH/uIi5dmIfRBjOzU/A8iTAM8PO/8hUcepNKLvMsR7/Xx+ats5i7uICHHrsHT33nGYxNtrBn/y14/eW3ivdmeamD555+EY9++gHs2b8L589exGOPP4TTJ8/h+R++jAO378NMiUo4K9Uybtm747rf+/m5RRw5fKL47yTNsHvvTrx96Bit2Bit3L7xJ38B3/ew98BudLt9vP7KQXzxy4+vEXv/OGN28ya8+tJb695XrpQ+dBK3QWx+jKFzWh8Ya2my4DQsq8Gc5fZq4NIDhKQcliIJGAAsoDW8Ss3pTlbBWug0pSRh2JWSyFEwntEuel8gH/QhvAAqieHXGmC+D+MmL8ytkozKyUrMJa1JopFbiyEYn0DabVMInHuO1pU9quEAslKl6YGQa9Ya/tQ01NAVRY5PIm33iVgFIZGVLKVJU5YimJimriatobOUknyNAZLYTYSoHVsEPtLOMnjgr8n7EL6PvN91rx/BZMZdtBn85hhgLbx6E9ZoZO1lmCyDbFbhN5tIu10Sz3JBpKRURtbrwCQx1VtISbUPozZyLpD3u7BGQ8URkad6q0hRtsaCcQaTxGCuMNVrtJDMXVwhM6OCwjwvSAykLdZZ3Avc+Uio/gCMgXJ3sgTBxBSkE4ivpyUQQQDmBSQOHtnFhSBB9KqVqU5TyHIFslwpHHxrPmZGQ0URfUa0opylUtk59d7/n67hIEKv14cQAuMTrfdVobDv1t04eewMtNYIwwDSk1A56ZzuuPtWdNs9NJo1DPoRnvnuc8VYPgh83PPAHbjr3ttQqVYwMTmGOE6uEJ8CQFgK8NidD+HpJ3+IC+fnirVUrV7F459/ZI3mo9vtod8b4Mih49ixaxs6nR7SJMVd992GTbPTOHH0FLZuncW+/btRLpdw6uRZfP5Ln8byYgfzlxaxfecWgDE0mjVYa/Hf/tNX8dhnH8KgP8D9D96N+x68G2fPnEM8jPHz//fP4n/9/p/g/NmLKJVCqm1QCvc/eCf++A+/ge07t+Cn/8pPYjiIsO/WXTjnfu7xJx7D0sISYBlmZqdw21378PLzr+H5Z19GEqdQSuG1l9/Cjl3b8NkvPopzZy6gvdxBr9sHA8Pk1DgYA3bt2Y5LFxdRq9dw8fwlfPaJR3H6xNkiI0crhThOcezISdx9/+2Yn1tEe7mDnbdsw85btkN6XkGi7rjnABqt+hWvfXupg4sX5pCmGeqNGmZmp+A7u7laNTEf9Pq4677bUK6UcOzICdTrVfzw6RdRKoXYtnMzgoD+Fidxih8+/SKmZiaL236cMbtlGntv3YUjh06suZ1zjvsevAv1Ru0qv/nBYIPY/BjCWgPlRJqji7lROYQXwHKxEmXPGLxa46oN40R4hqR78HwacytVTF14WCIxrDFF7t0IJs9IlBuWAFh49QaVO1onEFU0nQBjsHkO69ZFwppi5ZItL1Kqr+fTyiYeAEMLv9mi+4SAjiJwIZwAltM3e2PBQM3hIiyBCh4jV1VQJl2NNtDDobM6r7JtO+2HrNaJPDEGziUsp4mSV61THQPnyLpkex1pfkZuMRhD9QNByVnc3e2rXyTOaZqkclijiFQ4AhqMTcLAkgbFUM+UGvRoAiY96CyFDEokLM4z6DhC3u/CrzUAz0fe64B5Hr2vUpL2yWhwP4B1omTuKjKMyqGiIWS5MvrwFOJmdwN9VASHBZHNUSaRVYaayzll6xSftSSGLNdIn3U5uRECfqMJ4XlXJBBTiapwr4kB9yRkrV7UM6z9jFMcgVod4miNiyPIETRa79kinmc5Dr11BK+9fBD93gBCCMxumcb9D9+NTbPT7+kxt+3YjMc//wheeO4VAKQl6bZ7uOeBO1bp+S1ee+lN7Nm/kpOSphneePUQGMiSfObUeXDGsHXnZgqhcysu3/ewdcdmjI038eWvfAGXLi6g3+sjCANsmp2+QhOktUZnuYvlpQ6UyjE5PYn7H7oLZ06ex/f+/FnMbJ7Cnn23gPE2brtrP37ypz+HcqWEP/off4ZBf4B+j75pT06NI00yDPpDpHGCcrmMSxfnceTQMXzuJz4Fz5PodLqQUmLuwgKGgyG5ucIAh984Aj/wcfrkOSzMUw+X70ncff8duHhhDnfffzvOnjyPdruDTreL0yfP4blnXoQQAn7go1wOoY1BHMd4++AxfP2PvkUrrXoVw0GExYUlgJFbKYpibN02i+ZYA57v4df+P/8XnnnqORw9fAJBGOCBR+7BfQ/dhR88/SNEQ8rLOX70NB781L2YnppAvzdAvzfAU99+Ggdfn8TDn76/+CwcOXQcT3/3eaQJ2dXbyx0EYYC777sdYRig3+2j1qihVq/C8ySee+YleJ6H+x66G77vYceubVRrIdd+XhcXlrEwt4gtqyZt10KSpLDGvqfi0A8SfuDjsc88hKnpSRx68wjSJENrvIEDd+zDzluu3114o7BBbH4MoZOYJiSrQC3LGa1UrIWQEjwoXbU6AQBltviBuyiTQ0o4EiSrNdK0aF30/4zC9ABaLfByGYxLAAnlsIyycOIIzAJevYGs26Fv8H4Am2VQSkFUqtDDAZiUBbkweQYYWpGYLKccG63AOCs0RIxT4i/3/YKA6TiCSmKUJmegkpiyYpKEnrc14GEFMBY8CFziMi8C4nQSg3EOncbQaQKrNWyeUa5MtwMuOE2DOK14rMphs5T6ofpdBK0JGKNpFTYqAbUA9TYQOTB5jlFlBADYPEMydx7lLTugowhMcqhBv/j2raKBW7X14DeagDHwag0knTZUmlAytO+TPCYIAcaQD/o0QbKWcmQqVWhrwcMQatnFyitai5k0LjQwakj3mYyqHxhjlKQMDlmpwIYl6Jis3Iy7xnop6TlxhmBsguzeSUykMgzg1RqQpcrK5ykI1+hxuCQyBlBRpheun+ViVE6C7/Xuy1LoPIMU7z4HBgAOvvk2fvC9HxX/rbXG2dM0DfhLf/knitXQuwFjDPtv34Mt2zdhYX4JWUZdSUcPn8DiwjKmpiZw9MgJ7NqzHVobXDx3CYNBhEazhi3bZvHf/39fw6bN0zBaY36hjcMHj+FTn3sIYRiAC45PPf5QoQHyAx/bdqysMIwxmLs4j263DyklpqYnUC7TyqjZrGMYRVC5grXAxQtzGBtvIY0zZFmGaq2CJCHtThSluHDuUlFR4Ac+3njtELZsncU4ayHPFSanJyCkwIljp3Hgjr3YvHUT5i8t4sTRUwhLAW69Yx/++A//DMfePonl5Q6M1hibaGFqegJRFGNpuYM0zZAkKd4+eAzHj5yC53vYvGUTXn/5IA6/dQzbd22B6fYxd3EBSms88ZOfwfe+8yw2bZ5GluXQ2sB3SdnxMAZjHJOTE3jjlYOk0T8BNJt1PPDIPXjwkXuJCA2H+C//7r/D8+m1K5VCbN+1FUtzS5g7P18EEgLAxQvz+M43voef+StfQpqSlT7PKMzx9MlzRZUC4wz33n8HOp0egjBEnuV46tvPrOquWsDmrbPouoLO9ZBn1ycmXlps48jBYzh+7BSMsdi6fRa33rYXM7M3T6t4qRziznsO4Nbb9yDPFILQvyFFsu8FG8TmI4LV2o3X3QXjOsVVpFu4ckwNwAk8NYLm+LqC4Ct/niYUKhqS+BbklpKVCnU7aUMrkTxbSZnlVMQnSlWYKEI67MOr1uA1mtBxTJkklRpgrWuzhkv0NTA6B/cCCM9D5jJ0Rk3XRK5sYSnmUkJrTZoYoHg+1pD+hnkrOTgmTZAsLZAWiAkwWCprrLeopbxcgTUaeTSkCRGX8GoNslbrlcJKC9KzeDVeWMMxckwZgPGweO+gqYcqaIxh1MtET8h1bTnn1SixmNKMLfU8+SGybptWcYMhTJZClMrUog4UAYvWNZIzIaAFg8fo9bLKcynC1He1orGytOrqdRCMTUAlCbx6k6Z7gx7C5hiRgpgmOF59RdDMfR9+rUnEhnOknWVYnYE78nvFZwfURyYCVzfBiLSs1ntRzYKrdrhMO8J9v+gPWw/WVVhc9f48A65Cit4Jg8EQr718cP37+hFOnzj7nojNCNVaFdXaSrz+nn07MehHyLIM7XYHS4ttnDh6GrmbIm7dsRkvPvcqBv0hEaI0Q6lcwsTUGM6fvYif/bkvYcu22auO8ofDCD969hUcOXwCSilorZFnGW6/+1bU6jUsLi5DSok7796FM6fOYTiIYIxxmgeG+UuL1GQ9M4l9t96C2+7cj26ni0FvQO4gY3Hx/CVs37UNk9MTmJ6ZgJASSmksLbURRQkOv3kE1VoVF85dxPjEGPbfvhdhGMACOHX8DObnFnH61Dls37kFe/fvQr1RxWBQw3AQYXbLDE6dOAPf97Btx2bsu20vosEQS0vLuP2u/ag3avADH6+9/Ba279yC4TCG1hpZlsMTEv3eAK/86HU89Kn7UG/Ucfb0eSzMLWF60yROnzwHzjk+9xOPoVqr4lOffRiHnXtt6/bN2LFrG1744UsYG7vy/e73hjh/9kIRKggAvW4P7eUO/MCH50kcP3wSu3Zvx6OffhCXLs7jxR++uhLnwBgmJsaxe+9OHDl0HN1OD+VKGWMTTTQadUhPwg981BrXrmJYXmrjW19/Eh2n4QKAQ28excnjZ/Dln/kCNm1+b1PGDwqe58F7B83ch4ENYvMhw/c96CRCHkcrjclBCK9Se8fpygjWGCJEV4FRak3UPU0TcAXRsdbQtCMaUhmikOCeR24edyEbrV9GqwayBCvIag1cCiRLVDiZ93tuJUXx/TqJXS6JBQzAgwBqOKQaAaOJmIA5cpeCe7ZIJgaME7HS+ksNBwiaY8ijQaH1sda6iVATWa9TTFOybhvML0GEAURQhur3YKQHvbxIaxGVA0K4i/8yvEodsjJqxhbUmYTR9ZQ5uQknUfFohePEriPiknXb8Fpj+P+z95+xleVnmif4O/Z6T+8ZJCPI8DYzIzPSO6WkTKVMSVXqrprqmurp7ZqeRWN2Bw0s0FigPjQWGGA/1KIbuzONaVtTXVZeman0PsMbhiGD3rvL6+2x++F/eCMYJhWpSqWkUjxAQgpe8vCQPOR5zvs+Rk80eefiCI2L96CiRWJYtbIgnZJHgBwbu2qgJ1KYBdM7liBLN6ZYXsu3z4dt1NFDUWTPUeXaNpKmYZdLjdA8EER163ydusj9wXUaZEXRfSKMz+cTnViAnmoWic0gsnu8JyxF07ZphrZBkhtiYHHc269b17Eb0yotGvcyfapCJ+P3I+v+OwZH3vgcd39p6xx+ERRyxUZp452wuLDM4Qc+vzCxLaJTKVfQdZ30+ibdfR34fD7qNYOWlhQ/+d7PsG2HeCJK1UspXllaY3BXP9lMnt37dt31+BfPXmk4cgA21tIszC0zMT7Ly7/zAh++8wmL8yuUimVy2QKGYeDz6cQSUUrFEqoqMnaymTzZTI7hkQE2N4U1d2J8mmwmj2XZxBIRdu0e4OP3z7K2si66oySXWCzCwtwy3/+bV+nt6+St196nt78bWZa5eO4Kxx89RjQeZXFuCUmSOPzAAZqakxQLZf7qrR+wvrqBP+BjeWGVrt4OOjrbeOf1D8lkcl64XpB/8b/8U2LxKNOTc4QjYWzbRtNUVE1lfS3NvoMjZDN5DhzZQ1tHM9evTbO+lmbHYC9DIwPUa2IS1dHdxo6hPlzXYf/hvUgSfPDuR3f93mYzuW028Fy2gM+nY3iZQAALs8tMjk/zxLOPEAgF0P06Pp9OIhln5/AOFheWMeoGlUoVwzDJZfM0NSfp7utkZO8Q2c0sl85eQdFUerwmcf0Wzc3E2PQ2UrOFWrXOpXNXaOto+cJdR7/uuE9s/p5wXVc0GterjU4hxRdA1n13vNiS4TBmIb+9O6dew7BM9HjqjiLKmyHJsihtvIvlU95y8tg3gupc10Hx+VD8N/qfrIrQbTS+DsvEtkxcw0BOJMU0oVIWGTiBII5ZbyTjOqbVmPDcODEJWdcwi4VGWJykKGiRuJgqyCqu66D6g1j1qgiXK2TBS7pVwxGcSkXoffz+Rqu0601t/KmWm1YaooqhntsUqzSvgFOSFWRFrLUcS0yZFEXBKBWEJsXnb1ibXc+2jCJjFQsi8E/TGxUTIkX5phUTEma5JPqt6jVsq+yRFBdZVrAVBV8i1UgClnWf0BchRLKu44BtNVKNZZ9fECBVwfWcVOIrQ2iUENMzFzFNspG8f4syT0WWbut3kjVd/OxrnmhXkXENcR0ouu5NhGSUQBDFD8iSt96zRKfYTdee7PNDudxYPd4MNRD0OqPuDKteFaRyS1Tp5QP5Ek33NEnc+lq2dXbd+vo9PATcCYqifKpl2vdLaiFXVJWhXf0sL65w5dI4hUKJjq5Wevo7cWwHXdeoVmrIsoRtOVQrVeZnFxm7MoGmqvTu6Ka1fbsdPZfNNyYQIEL61lY2cByHhbklLpy7zHf/ybe4cOYySC7N1STlUpmOrjYkSSKZitPS1kShIMT6f/Gfvkcg4KdcqrCZzvLU8yfYvX8n+WyRr3/7y/z4e69TLlY4cHgPM1PzvP/WJ1w6d5X+gR6e/+qTXBsdxzBM1tfSHHlgP00tSd589T0efuwBhvcMcuLJhxjZM0StWmduZoFkKo6qKqiaSjAYoFqp8sO/eYXHnn6Yd974EMdxSaQS/M2f/4Ch4QF++DevEo1F8fl1uns7yW7miCdi9A30kN7IsLaygT/g5+HHjrK0uEZ7RwtXL40RiUYIhQPkc0UKUglZlognotRr9U8lBJqmEQqHGv+2bXHNTI5PY9sOmq5iGAblcoXFhRVMw2TXnkEkSSIWj3JldJy5mQWOPHSQteV11tfS2LZNtVpjYKiPaqXG66+81zj+lUtj7N67k4cePdpoQTdNk8nrs3c9x8XFVfJeX9Z93MBvJLHZ3NzkX//rf82pU6dQFIWXXnqJf/Wv/tW29NAvAq7rNsb8W3BME6tSQY/Gbwg2t97fEeJH/Ldb31zbFs3Z90Bs1EAQ4yZScjPUYBDXcTAK2W2hfValglWt4osnkVRtuyjzJji2hWPUPVfLjXWAJCviBl0XXU2yIjfKLmXdJ25kpok/1SwyWrzCTNc2kXU/ICHLgnTYtSpKLI4S9PJSZFm4f3Qfij+A47iNDiMtFkf2+QVhUhS0cIR6LgMI7Y0r2Z6IVwgCHUPojKxKGdnnw0XYpkWdgyO6qVTxb9F9JW6Q4liy9zEuWiiCWSoIt5knGHZtG7tWQYvE0SIxXMlF1f0iE0aSPO2OJ+IFtGCI2uZGo1rBdSQxaXBdrx8qj+oPCrFwOCImRpKEbRpCf6OJ1GFJ1VAkEY7nWhZ6QpArXLeRJyRrugjb81KcJVVDlSRM10VWVDEJskwUTRM/R0RrO7KDGgjddq0qmo4e93J+GgRFHFsL3X18bhuGWEHevEZyRbkpkvSpH3szZEVFD0fFFOwWaKHwpzr9Pg3JpgTtHS0seSm2t2LHUN8vdNxSsYxhmARDfvz+G3qNfK7A3MwiM1NzZNN5zp+5TGYzi6IoKLLC+moan9+PZQkHjyQp1Go1LMtGyhfxB/xMTc0xemmML331STq72xvHrpSr20oZ67U6hmFiev8tz69iVOuEIsLCrOsaf/VffsDO4R0iXXh2iWKhxMEjexm7OkmlVGn0L/UP9rA4t8wLLz/D6uIa2U3hRjp0ZB+nPjorcmR0Ddu2mbw+Qy5f4ImnH2ZmaoHr16aYn1nkxW8+zwsvPU2pVKazrY1yscLayjqVSo3F+WXSGxnmZxaRZOFwsh2HvoEeFEVBQqK1vYmVpTX8AR/PfeVJuno62FjfRNc1VhZX6e7r5KETR1heWiW7mRdhfFaIpbllctk87R2t1GoGy4sThMIh9h0cwefzoahyowertb1lqwd2G2RZprO7A79f55xPp143CAT9zE4vNDRIu0aGxDQlk0eWwLYtql5Wkc+vMzezgG07XDp3hQcePsThB/aLjim/j2KuSOYOabxXL1+nraPlRqfUp8QqiNfdG3EX99HAbySx+Zf/8l/S2trK+++/Tzqd5p//83/Of/yP/5E//uM//kLPwzENzHLxjq8ZxYKXAXKDqLi2hXWXhGAA26ih8fNtcYo/gGpZt4kr1UBI3OS9bqDb4LqY5aIQGH9KXoZdr6PpPm52+YhJggjdcyxP3OutKmRZxvBu/tX0Gno0hiQJu7dtmEiq27hxbt30jGwGNRLF3xYXOTqSJATGrotr1NEjbUiyguPa2OUysixjmwa1zAY4LjbC8WUWcji2mJCI1QuooRBGIe9NB0QVuKSKqYvr2Lim6FKyLZmbdx6u6zQIqYuwLRuFHLYseU4lsUJxLAPXBTUYop7PCnLmuijBEFo42nBhWZUyvkSKenpNkANZwUVCiyVEkq/rCJ2JLIL0XFO4yJRAEH9LG2a5iGMa+GMJLNvGLOVxLdvrY4ogJZKYhZwQjtsW1GvCgi8r4megqII03lRX4JgmWjTeaHzfqtS4E1Sf3wsgNBvhhT9PD2bXqnfVxtiVcqNP6l6gBIL4FEVMHg0DWVE9XY//Fx69a5rKseOHyP70nW2hegDDuwfp7r13hwpAoVDi6qUxxq9OYZgmkXCIPQd2EQ6HGL1wjUvnr6JqKgcO7+HSxatIkkRndzuKLNPa0UIxX2RoVx9jVyfRNI16rd64ce47OEKxUKKpOUksFuGd1z+ks6edtvYWunra0XRtWzieJIuHDdt2iMWj7D+0m9Mfn+fq6DjReIQnnz3Bd//Jt/jP//tfsji/jK7rtHW0cuaTi2ysb9LV28HC3DKlYplSsYwkSUxcm+b5l57k6sUxkqk46Y0MS4urRCIhDEOQMcuycGyH9976hK6edtLrm9RqdQqFIm+9+j4vfvN51lY3GNjVz9uvf0RbezNz04sEQwH6B3uYmZzDdV0WZpfoG+jBH/QzNLwDv99HNpMnly1w7tRFHn7iAUqFEqViGV3XOfHEQ5z55EKjSkKSJELhIIGQnz0Hhnn1h2+w4iUYg3A3feXlZ3nq+RMEQwFs2+ahE0f48J3TpFc3kGWZUDhIJBLm2EMHae9sQVEUHn/6OG+99oE35XORZZldIwM0t6Q4/cl5JEmiVKxw9PghNtY2G59va8KTakpgepMsgObWFBfPX6W7784ZNuPXJhvERtM1+nf0cOHc5Tu+b3tH6xdupf5NwG8csZmbm+PUqVO89957BAIBuru7+ZM/+RP+1//1f/3CiY17UyT87S86Itb/5kAxT6R6V9yjbkCseKKiBNG7icqa1lhFWLW7aCMAxzBwA3cnNeJgMo5lo+iaSNpVVWyjJkLuXFG+KPsCyLUKjiPC02RFEQ8+npDWKGQb9mXHMLCcopjARCKYRc/arKiYhXxjNVPb3CAQDKHH4l54n4qVy2NXbrSQu46DFo2JJxVZZMQ49TqoKno0LjqXZAXVvxXQ5xNt1g0iJ4mVlG2jhaLIug81EkWWFWFe8t5P1X3YgOa6qIg/mo5Xuuk6Dqo/4ImKPe2NIpxTtXUxCRBdVkIf429uEwF6SCKUz6hTL6yJiZVXICqrmmgF99q0rXKx0ZTt4lBJr3vjabGCsqpr6ImUl19kCzmTFwXvS7UIJ5okI8eTjcqNLcGx5Am47/Va+yzOBlEfcZfXvInWz/uz4zq20H1JUqMW47NE3P88dHS18dWvP8fM5ByL8yv4Az4Gd/bR3dfVWAHcC2rVGu++8RELc0uNt2UyOf7mz39I70AP+WyBhXmhsVAUhVqlRjQWYX52Ed2n4wv46OpuR5ZlHn3qONevTbI4t0wiGWPvwRG6ujvIbOaIREO8/bMPcByXkb1DhMIhkqk4jzz+AE0tSRZml9B0Db9fxx8Q2p3d+3fy7psfMTUxS7VSpVyusL6eZmV5jUQyhs+v4/P5aO9q4aN356hWqziOS1NLkkK+hCzLpJoSWJaFZdj4/H50XWd5aQXXdSmXqySScarVGqFQEMd2mF9Y4LmvPMFFWcKn61imRTgSJruZ48tff5ZwKMTUxAzp9TRTkzPYpk0ilWDPgWEymzkCQT9rKxt0drXzw79+lb6BbsqlCqqq0N7ZzrXL14nHo+w7MELdMLAtG8MQdQyyp9HbWEtz8OheJsdnicajlMvVRjeVrmsszC011kulYpmroxN0dLYTi8VIpzOEwyEOHt3LvkMjlEtVJsanmJ6cI5GKcyAa5pHHH2BjbZOp67OcO32JSCxMS2szpWKZcCTE0QcPMjE+7UUItKGpKsnmxLaHBwkJ36dcZ5VytfE1lYolEqk4hmFgGRbBUKBhVNB1jX2HRn5lzqNfZ/zGEZuJiQni8TitrTeU4AMDAywvL1MoFIhG723X+GkJn/eKLdfO3eA4zrbP40qyKFr0LtpbIeu+z3ZeqraNODmuCNVzHedTzwtJBlW9Kc7+pnPQdOx6TaTUeg4lxzLRQlEchBvF9W7oWiyBWSgIIamsCLeUpjdWQsI6o4h7tSM0MMLRpCMrCnZNCKi3hKiOK97fsSy0UBSrWhSkxrnhOpIUBdObhvlDEVxZ9qoLZKyaEEMjKSj+AEYhh1XJogXDjQJPsQpyUFQN2aeLt0syjpe/4+oiWM7MZcXkyzTBsVEDIVxZTCysakXYwz0nl6z7RMJxLtOwed8QbLsYxSJ6NIpZLgmnUjCMv6UN13YwijkhpHZtFN0v5mPe2kuLBHBsm/rmJpqmeSJuMUVzbZv65ga+VBOyqntTGUlogxQFx3EBcX06toNVrXqkArHuCoZFb9Y9al7uGd568u6v3f13b6uHzCqXcW1TTK98AdRgSLSi3wVbx/ssvzuJZIzEA/tvEwp/lmMsLqwwP7O9+K9SqbKxvkm1Vufg4b2UCiL91+/3MTs9z/CeIbp7O1hbSVPIFfEN9lGpVAnX6uzdP8yukUGKhRLptU3RWt3Zwkfvnsb2pjiO41IqlNhYS+O6DsFgkHAkhOu4LM4toaoq3b1tFHJF1lY3kGTxMNXV2wEuzM0sEo6EyKSzBIIBJCTa2ptZmF0im8nR2taMLMtomsb66gaJZIwf/M0r+P0+NtbSaLpGvWYQCgdFNYkkoenCJeXz+ahW6wQCPh54+DC1qkFza4q5mUUmxqa5cOYyqqpy+Nhe9h/czamPz7OZzmCaJu2drZRLFULhEMFQgINH9xBPxNjcyBBPxKjXDTo725menOXsyUvYtsPTzz/KgcN7aFlOcW30OrbtkGpK0tPXzamPzlEqlGhqSXo2eRfXFRb2tdV1unrauXD2MtevTdDS2ioISDKGYVqMXrhKLBbh3KlLbGxsoioKhUKJ5YUVZEVh38FhVFXmxW88y/LCKkuLqwSDfvp2dLN73052eoLl7t4OPn5PxArcnPWkaRrdvR3Uqnd+AG3raPH6x65z6sNzjYyepcVVstk8zc0puno72HtgmI6uts/lXnYrfpHfqS8C93o+v3HEplwuEwhst3lu/btSqdwzsRkdHf17n0tLMiFuZneCJKFW66SzuW1vbk4k2MxksG/pd9JDYcq5AuXK3Tt47gWyLNMSi1DL5+74uub3U8kVCAX8WIX8Nhuu5vMTCgQol4qYloWiyER8PiTbwjCzqJEotiRj2w61Qh5dkrAUFRkZV9NxjDqarOJWKoJkuYDjYhp1LNtBkiX8gSD4Aki4mJWKaORWVBHZ7/dTKleoZXMkXJAcW5BHbxLhfVuFeNqyMOpVbC2AWytRTK9j3fS1pFIpVF0Xrq+6ixpLCr2PqnsBez7KhSLmTes8XzxBtVTCyuWpebopRZEJh8JYTglF16nmcqKGwnHAMLCqFXyBoLA3iq2XWNVJErbpWbYBR1UxDQNNkiitiwTgUFNLg2Riy1TKJRRuRPI7iteELUtgWcLO67qoqiKawnGRqnWqVolKsdiYHuqRKGkvvr85mcDKZ+9INvzxJGvZnJjy+HyE/H7RfGwYVKq1TyfHd0FrMuFpoG6HLxwms77ZsDrfDFmWaYnHqN3hY1Xdh6n5yBfvvPbdwufxO32vkGWZ2cklVldXhXjcsqnXTWRZJp8vMn5tilAoyDuvf4AkSXzrH71EIhkjnytQrVRp7UjR0tpMoZjnsacfIhaP8fH7p9ncyJJIxRneO9jIl1lfXwcXAqEAlUoZs27h4vKf//e/pKevG01XqZSrHH3oENFokLbOdn74168QCPgJhQJE41E21tLUvelGJp1heM8QoXAAyzLYd3CE6ck5jLrBZjqLz6czdnWCVCpOU3OKyfFplpZWOXxsP+FIiItnL2OZFotzK+zaLYhYPl/k8AP7ae9s5Zu/+yKarlGpVNF0lXyuQKVc4fq1KWKJKPV6jb0HRtD9Pi6euSx0KeEATzzzMAeO7GV1eQ3HdslnC3zz914kEg0zduU6pz4+T7lUwbZsmltTrCyvcWX0Gi+89AxPPn8CwzAw6iYb66IPDklYpRt/4ySIJcKsrqxy9YrO+29/jFG3WF1ZQ9c1yqUK7R2tpNc3KRXLfPL+afxBP61tzWiaxuT1Gep1Q2RXOfDBe6d4/KnjxJNRHn78GJpf5sKFC41rRNEURvYNcvbkJebnllBkmZG9u+gd6CAcC/DuGx/cNvDXfTqhiJ8zp87x2o/eariylpeWiUTDpJrj7Nyzg1RLjI3NNTY2P1tbuCzLYq1/00P51sTnTqThi/yd+jzxG0dsgsEg1er2m//Wv0Oh0J0+5I7Yt2/f33uE5zoOVjQi4vhvgeIPoEZidPX2Nd5m2zaXL19m78gIrrcekCQJ2e+5qD6np2fXtjDCYVGxcAu0WELoKxA3YKdWwzZEg7Wk+zCLefz+Ju849g0NkesI+7ProOkavlAIWdXQk03emsYULisXLBxcRVijFd2H0tC6eGu0UAjJdZFNA1kV6boyLuWyeGKLRCJoPuEqq+SzuDfVF4hzEWsJTfehKTJmuUIiIgSlW2m0rutil0vo0ZgYBUngSr7GqsSpmATDQdygH0XTkDUfriShaD7MUh6iYaEv8dxlkiQhAdG2dqxSAccWKzFLUUSlhSQhaRquaYoVkO7znFoyCuDz+5AsA6dSRpVA1jXxJVkmriOKMP0+n8hv8b4G3SecVZYlgg1lRUaRZDH5cIRbyxcKolk20eCNTBg1HKGjX4h0zUIe239noa2kKLR2dYNtifqJraDGaAQ1GEb23dnZ96nXnuNgJePYt2QtSaqKHk3QfpfJi2vbGNlNXH/bHV/XIjGUwMAdX7Ntm9HR0c/ld/qzoFa0SDU1sTy/SjqdAdclGA4yMzmPz6cTCIj1DcD7b33CY08dZ/TiNeGC0ny0tokepJE9uzh4dC+PPv4gq6sbrK1uUMiX8Ad0VpfWefjRBygVy4JA2RbhZJg3XnkXgFAoyPTkHNVKlbWVNN/+xy+xurJOoVgilojS1Jwkl80zsLOfVFMCn66ztLBCc2uKiJe3EwgGePnbX+bqpXHqNSEs7+nt5Njxw1wdHcO2bcrFMhfOjPIHf/xtvvP7X+fyxWu4QKlQIpaIsXv/MI89+SA//eGbbKylqZSr5HIFUqkEL37zeU5+dM4r0BTJ2JlMjsW5Jb753ReRZZlqpcrC/DJ/+Z+/z8GjexneM0ipWGZxfplkU4K9B4aZnphDQiKRjBOOhpkcn6Z3RzcnPzzH8y8+ydpKWvRXtTVRrdZxbJcHHz6CqqrYtkWtWicUCdHV1cXc1ApTE3OUCkVCoTCqprJ3/y4ueh1T2UyBUDjE0PAO8TOUJHbv28X1a1NMT8zxwktPAy7p9Qy/+wcvMzQ80BBUJ5Ixspk86fU0peIqqaYkvf09yLJEtVJj7PIUTz1/glg0xqVzVxrN54lUnAeOH6J/sJd33/iIVKrptmvONh3mp5Y4fPTAZ26gX1vZYHF+mVKxSDKVoKOrlXKpzOL8Co7j0NHZSkdXe0N/9Kv4nfp52Dqvn4ffOGIzNDRELpcjnU7T1CR+8FNTU7S1tRGJ3LuISvmM2oG7HAQ5lsAql7C8aH1kGS0QRAmG7lhl4Louiq6jBH6x1NR7PS8pkcSulLE894ysaajB8DbhpaIocFOcvVWrYt9ErhzH2Wa3dS3Rm+Saplg9aTqKF0gnGn81bNNAVkSjteRZz0F0SwGivdor3dzSrWxlxoBYtDhGDVkRriotHN0+FZMkFH9AZK7oPrG28VqnbaeK6g94reIuLsK1JuoAtjsHtHgCPRTFKOW9tmlTiKM98a5rmZilPI7pFYQi4VTKUMyhhqK4lTKWoohAPtsSVmzbFp9HUQFXkBTvfF3HQfMHsFwXxRNJW7XatuRnWdPFU5N3HbmShOrzY5QKuAgx75aeBk9TJTb27jbip/r8KIoivgfe9OiOcBzxdRbyHnH13s+2sIo5dDkhms4/A1xJAn8QRdVFlQaiS0v2+e5a7SE+pbn9HG49rmmghD/99/tz+Z3+DOjsaWfzh1k2NoRg1B/wkd3MIUkSkWiYaq2GpmuYpkVmM8fU9Vle/vaXOXvyEtFYmL4d3QzvHqKju41rlycYvXCVYqGMaZqkmhKUiyU++eAMi/PL9A/08eAjhygUy5x8/wxIEj6fjiRLlEsVarU6tl3m/JnL9PZ1kUzEmZqYFQ3Zro1jOxQLJQ4f24fjuAQCgcaDVK1WR5VVvvY7L7C6so7jOExfn+X8mVFmJucIBP2EQiEOHdvPaz95h5a2ZtraW9jczNHR1UZPbxdNrUn+4j99n7Er1/EFfDS3pDBqBsViiY/fO01Hd7uX41IgFAmBC/FknHOnLnL54hgDQ33ia7BsXvvx2zz82DEKhRLXRq8TT0aplHZSrxvs3D1IIVcgu5nFth0kxNcvITE3s0ghX2RgZz9PPvMIoxev8dqP30aWZSLRMLv37eTwgweYn1vE7/ez/+AItVoNXfNRqVSJJWIYhkkg6GfP/p2sr2f48J1T5HNFQuEghx/Yx6NPPsTpT87juC6243D80WMUCmV+8oM3AIjFIsKlKEnUanVe/dFbuK5LJBKmb6C7kXB88exVnnnhMYaGd5DN5FAUheaWVOP1jfXNuz7olitVqtXaPYuGXdfl6ug4H757qiFMTyTjfPDOJ5RKZWJx0Vt27fIEHV1tPPnsI4QjYkjwRf9OfV74jSM2fX19HDlyhH/zb/4Nf/qnf0o2m+Xf/bt/x7e+9a1fyfmIgkLPSeOKcLnPo6Dv7wtF01FiOqqX4CrEuJ8+Ebo5NdZ1HWElVoRNGEBSlUb/j2OZ6L7EtmNKioKqCGKBbTVGwLKmeyF0TqNbSvb5katCJCeErC6qJciHrKrCPm2ZSJ7t2CjkkJDRolFsw8Ax6hhZA0lV0cIRzEpFfE7TFLUQrisyc6plbvVzSpqG6g9S3VxvECNJAskWNnglGEJyhUVeFHuC6g8KAiKJ3B1kGbtUQAmFUQNCA6JFYtjVCq7r3HClucIR5lgWiqYhqbpY0zkOjmUJ27enqbnRvYUovZRlQe6CIYzNNKqi3rA5S7LIxDHq234GWji6zQotKcodJ3fiIlG8xvQ720WtckkQ4XucJFq1Klap2LhGGmTaH/j5k5+/7+u/AkRjUbp62lmcv+HKqdcN4okoxx46yLUrEyRTccqlaqPY0u/38d0/+iYd7S2omiDSpz85z+mPLzSOW6/Wefv1D2luTnLo2H5qdYNCocibr33AU8+doFYX11ZTS4pKuUqxWMK2bXRNE5UlmszwniEW5pfx+XSqN1VaGIbJH/4P32FhfpnlxVUkSaK7t5Nqtcb3/vKnDO3qI58r8sar79M30E21UqNWq/GVl5/j0rnLbG7mhDNqfoXHnnmYWq3O7Mw8hmk20oJtx0GRZZpbUgCsraYZHN5BNB4Rtvi6ga6rHH3oID/9/uu0tDXR3dvJ+LVJ1tfS+Hw677z+IQ8+chgk8ZReLleoVmuMX52gu7fTq3dIoagKIS1IrVanVCyza/cgqaY4aytpVpbWUBQF27YJhcX7XLk4ztBwPx+8cxLbsimXyqSaU6TX0kxPzpHeyPD0C4+CJPPKD94QE3VJZn0tzbtvfsy+A8M8/aXHCYeDPP/VJ7l6aZy/+8ufNEiG6zgM7xki2ZygVq031j3FYonFuWUGdvUjSRKzMwtkNnOkmhLE4rfLJyLRMJvp7B2vO92no+v3nuy7sbbJR++dbpCarVXUudOj+P0+hvcE0bzjLS+ucuXSuPje/wbjV38H/gXwZ3/2Z/zpn/4pTz/9NLIs8/LLL/Mnf/Inv9Jz+rTAsl8lPgvJknXtxgTBE/zK3hhXOLpulCdKstxYad0KRdMgnsSuVhuhenokKMSqnjjYrtXQwhGMfE7kwLguqqyI0k5Nx7VMVH+QejaNK8v4m9uQVbVh47ZrNU9HK87H39SKUSqIPBxHuLRcWRafI3fjD4TkWaXtWqVB2LZCAGVJdDtJhrFNsAxgG3VhR9/K4QmGsC0Lu1LGUWoEWtq96gFX1BQoighr9AfFMXXNIxmmICOSLDJ7bBvF7xc3f1mEAjq2jVnMe43iAUzHwRdPoiCC/ITtOSjayr3Rvqwowkp9UzDkVqaNcYdVKQiydnOP061wLFOc3z0QG7teE6GKN4kGHFOkQeuSJFxknwLZE8LfWpy5hbtda79KmKZJLB7j2S8/wcTYFKZp0dHZRrIpwdTELEbdwB+I0tQSIJGKs2v3IEcePEAodGMKlsnkGD1/bdtx19c2WF/dYGFuibbOVlpakmymc1iWzeWLY+w7MML4tUnKpTL1Wp1oNEJTa5L9h/agaxpGzUCRFb7z+19DVTXGxyYIBUPs3reTvQdHaGltYmTfToqFkpe/ZPNv/9//B6Zponlrl3A4iK6pQsflyvj9Pmo1gwEv5yeZimPWDVaWVmltb2Fk7xBzswtUihUkSSKbybOxlqZYLNPUkqKpOcnInp1MT85x7KGD9PR1s7K0ysBQH30DPeQ2s2Q3c4AIM9zcyGB70+KBoX4OHN7D+lqaWrWGLMloukZPXxcdna00taRoa2/h4ceOUsiXmZqY4+SHZ6lWakRjYVRNo72zlfaOFi5fHMO2LbKbWUHKphcoFSs8/9Un0AM60xOz7Bjo45UfvEE4EqJYKCMpEAj4UWSZq6MTvPStFxr1GB++e5pI9IYEolgs8+6bH/Gtf/QSZe97sUVu8vkilVKFUCTkdU/d+VoH2Dk8wOz0wh1fGxjsJZGM3/N1urK0ui1BORqLMH5VBDvWanVKpfK2402MTbP3wPA9H//XEb+RxKapqYk/+7M/+1Wfxj84SJKMFolh5LM4tQqSJHux/gFRmlgpCfuvzy80GJ9WsKnpwiEVCuMibsauI4LarIqoGKhtbiApsheS59mYK2X0qIqs+bxSSRfJtrEqFWHptCzseq3hPPJOHCOXQYvFscplUQUBqJqOpKmCXNSrgNAz2ZaJlcs0JhliYiM3gq62rMVbuTK4rlgLBcNYprndeuytlmxv8mGVRTCg7BPnapWLyLofPRCnnt0UDeiO4yUS11B8PlEvoGpYlQp2vSqs85YFpoljGii+ANVCnkgi5XVaiRWTrIEeSXzqREX8rELCLXYTRFeTH8eo4d7NaHCv/WWuKwpT7yI2tqplQepMU0w1vfqOm1dTkiyjhiO3kSMA1euk+nWDuNnXqFVrDO7aIcT2kTDf+6ufArBjZx8trU2oqugFeuD4oW2kppArcP3aFBNj02i6SiQaFiuV2aVGtcLq8jqVcp2Q1zMkSTLHHzvC2ZMXKZXKBEMBhvcOEU/EeOWHb9La1szC3BI+n86+gyN88/e+yovffIaBwUF8N0X1y7LcmBSsr6YJBPyoqkq9bjB2ZYJHn3qI69emGBjsJRAMsLGewXEcSoUSgVCAZDJOd28H+XyBuZkFHMchFAySSiUIhgJcOn+NYrFEtVojk86wsrRGd08Hx44fZHpijrd/9gH+gJ/V5TWmJmY5dvwQre3NXB+bRtO1xvrm6IMHOX/mEkbdIJGMcfLDKYb3DLFjsFc0mOcK7DkwQrUiyjBPfXyWx595mO6+TirlKkuLK7i2SzwRxefT2UyLuohoPMrs2SvIskSqKc7Fs1f4vf/u65QKZUzT4OqV63R0thEIBMhsZjFNi0QyRUtbM+trabp72vnpD95EkranVduWjeO4TI3PMrx7kKnJ2ZscbU5jahKOhLalGt+K3v4uDh7Zy6XzVzyHo0BHZysHj+79TNdptbb9wUZWpMb1BTfydrZgmmajH+s3Fb+RxOY+folwhI5GVlWxKwYU1YdlCD3Ilp1b8d89JM11XW+FI+zHW+9l16rCRu4iphqujWOYON4TvWVZaKqCXauhhKPYtSp6LN5IyrWr5UZQnOILICseuZEkbMcWkwy/X3y8piEFVGRJBcVGCoQ80a3jFT8qgNWwrruKi+R6WhzHRfbp3tcgexl+YjUmJiteUrKmifoDTUf2+bGrFfypZur5LE6t2tDXqJGoIDG67q2gTEFcXBfbMPAlm8X/r90Q3Cp+v3eD985ZFt1UDdu7LApMP43UuI4jCJcsizJKT8ws6zqK7hNkIxDEMO+cYn3PYXqOc+dASMTPxrUdaumNbTxJVjW0WBzlprWZ6n1v7VoVu15HUmRUf9Bbh/367fkj0TDDuwc5d3qUvNflU6vVeeLZhzn98QVisSjBUBDdp7P/4AhDwzsaH7uytMabr72HrvtYXREhcrIs0zfQzf5DezDqBsVCiXAoSHYzR7VaIxAM0DvQTUdHGy/9zvOc+eQilmXR1JxkenKO3r4uctk8zS0pkk0JqpUab7/xES9961lU9e7fv3A0RGd3G8FgEH/ARygcJJPJceKJh/AFdVRZwTJt0utpdu/byczUHHMzi6ysbHDg0AhdvV28+8aHXL82TWYzh2VZDO8e4vCx/Zz+5AKDQ31UqzV6ervYWN/kyqUx8rkC7Z2t1OtCGP/KD9/kpW8+z9TErCA10RCd3e38b/+f/4yqqmSzeZEy/83nqdUMWtubSaUS5PMF/uI//R0S8OwLj/OP/+h3mJtZIJVKkEzE6d/RI3JlZJl8TnQ9BYJ+6nWDZFMC27YwDIv11TTZXIFjxw9TKVWRXJi6Pks4EiLVlBRuQW/t9jjHSadzqKpKIhkXf4c8qJoKVdhMZ+jobsPn16mUqo2fr6qJ36e9B4YbOpY7QdM1Hnj4ED19Xd7ExaSlrYWOzlaRZfMZkLxlumPUTVpam4SOx9Nq3YxoLEIw/EvUgH4BuE9s7qMB2zCo57I4dZH0iiymFaaRQ48lsKoVXNvCn2y+42rAdWzsWg2rVrlJMxJsPG1btUqj0dyqFHFth60+Jqtawef3gyQjqRpOtYKRSTfKJ2VfAD2aoJbdFLk0pYKwd7su4KJG4tiWhWsLLQuuS31zA1lVkXU/rmViVStihWOLgD3DqIuBDIigPUnGlWQUTQUkJE0H18F1pYYTy3VstEgUs1xE0jQkJGRJwthM4zpCCK1HxToN18FFEpk9ponkrZBkTwuEBEgytiEmUGokKqY1tigxlWRRG+HYNr5IzPueuygekfq0kD3HtjCLhe2rJo9AbpEaQEyL9FpDwNx4V0VBC4bvzRUlSeJc7yDVkRQVs5gX536ThmvLRSff0kSv6L6GuFoc+tdPW3Mz9h4YIZ8rMD05j+u6VMpVgqEA/90//TZhbwKTTMVJNd+oUanXDT545xTp9QyRaJhQKEg2k+Pg0b0sL66xurTGwvwyTS1Jdu/fSaVSZXFhhWw2zwNthwmGRLzA8O5BQLiazp8excUlEAogSxKlQglN15ifWeT61Rl0zcfI3p13rJ2xTJum5hRXRyc4/tgxHjh+iKWFFcrlMm0dLXzy4RlURWVoZIDXf/ouxYIIjctl81x0HS6cFZUBhVwJWZHJpLPMzy4SjoY4dHQv8WSMXCZPoVDk0rmrXsO4S6VSo6WtiZmpeSQklhfX2H94D+m1TR5/5mEuXbhKPBEjkYyzuZGhWqmxmc6yY7CHUqHExfIVSsUyDz58GMd1yeUK/OBvXsWybDKbWRLJOIeO7ePA4T2sLK3R3tlKa3sLQ8M7uHjmMosLK9SqImhwYKgXv0+nUqmi6zr9gz2MXZ3CqBssL60Si0WIJ2M0taQY3NVPMV9ieM8gdcMgl7nxYOD3+ygVyzS3pjBNiyefOcGZkxdZW1knkYyRTMXZd2CEPft//qpHVVW6etrp6mn/ue/7aejobiOZjJPJ5AARTNg32MP1sWnC4eA2d5UkSew7NNJw8/2m4j6xuY8GnHpVaDy2MnY8m7Ti8+NYFr5kChz3jpH2Ys1UxjHEysd1XPHkXauiR+PCGWRZ4slelr1QOs/NI0nIqoYaCIkVxVZ6smexdiwL1y7iqBp6LI6xsbYtbA5JxjFq4r4pq7i2hesKjYdjmui+gHAIuQ62KYojXaSbVjQiKt11RBO2azuYxTx6LCH0QPWaIEiajuoPYDemWpqY3nhN5q7j4joW9ewmejSOpOvIrosSCDUIhoi910S7tu0ADlIwJPRD2Qz1iijXlH0+ZN2HFgojuVCqVIk3t96zQ+FmfdONH5IgkFuiXvDE79E4jlET33PXEZMaX+CedWOSLIt1302daQ14wYx3miw5hiGmYPrta6Zfd0KzhXAkxFPPPcrI3nU20xkURaG1rYnm1qY7hnACrK2uMzE+zZwX7jeyd4jlxTVGL1xjZnKeeCJKIOhH0zR+8r3XOXxsP7F4lHA4yK6RAaYnZykWS5i2zcLMEvFkFNd10XwaLa1NZDM5FuaWxZQn4KOlvYnpiXk0XW+QIRAEq5ArcO70KBNjU+zZv4vRc1eYn1+imBNZPB+/f4a29haefO4EF86MYts28WSMQMCP47g4jks+V2BtZYMro+O0tDax//AeLNOimC9y4OheXvnBW+w7OIyuq+h+MfGNxiK0tKWQkNg1Mohj20QiIdo7W3nhxadpakmyvLSKZdmsLK2Ry+bpH+ghnowxfnWKarXKgcN7Gbt8neWFVf7H/9sf8f/6f/4Z4NLc2kQiGSOzmeXDd0/y9W9/mVRzgjdefY9oLMLZkxdJJON87Vtf4vTH5xs1FF09nUxdn2Xs6iRPPv8otbrJ0vwKO/o7KRZEO/pDJ47w/b/6KR1d7ZimQf9AD6WWEhNjM4CYtLS0NXHs+GFPE1TnxBMPEo2FSTbFhQYrlfilX5c3IxwO8dSXHuWj906LjCDHpVyq8I3f+wpL8yvUPTF6IOjn4JG9DO7c8XOO+OuP+8TmPhqwvSTdBrxI+0YcuCTh2OZtvWyiDLSMkc+IxmlJ5PjIPj+u16cleR1GuC5OteqJakXujRoMgaxgeG3drm0hqzpqKCQ0M4BdqyHrrlip3Dwa8Eo4RQ+W6GayPX3QFhyjjqwo4vNbFnIgKOznroOeSOF47dtaOAyqhpXLIikiYRhJwhdLAELbgqygSBKSP4CkKNTTG4DXo6TruJaE6zqY5RKhWBeKPyhCBSs3CWMlySvFNBpuNbNY2KaDcU0Tx3EwHQc9lqB6S9Djp2GrrPNusCoVcV7ejVdWVWQ13CA7vwiUQADbqG1fSUki5v7TCNLNiay/CpiGycryOmsr67i4tLY2097Ziu679ydWIWTtpOcu3T+3IpcpMDM529BbTIxN88jjD/C312cIhYOEI2F2DPUhSbC5kWV2ep5v/t5LmIbB6IVrbKxvMjs1TzAY4NEnH8RxXD55/4zQnGTyzE4tNHQdkiwTDPg5+eEZYvEwOwZ7MOoGE+MzjF+dZHF+BUmC/Yd2Uy5XWJhfZm15nWKhRKVSI9WUYGN9k+XFVWRVoaevi0qlim077No9wMbaJtlMnrmZBTq6WpmemGNxYZkHHz7CpQvXaOtsJZmMkcsV2HtghGDAz8DOPtZW0ly/OoXrQjQeob2jle6+Tt569X3+8r98n8Fd/ew7MMLw7kFKxRKS1I1tO2xuZKjX6kTCYSSgkC/x8OPH+Oi902iaKkpATZN6rU4iFcexHWZnFujf0Uv/QA+VcoVcJsfSwgprq+v09HYyeuEav//H36ZcLNPd18nSwhJXLo7xla89Q7FQ5Orodbp6Oujp6+LS+ausraxz6fw1nnnhMdZXNghHw+w5MMzc1AKp5iRfevFJhncPsrGeoVgsMTE2zfKiSC1ub29h/+HddPfe27XyeaGltYmvvPwM66tp6nWDUChAc2sT1UqN9MYmjuOSTMUbuqtft8Thz4r7xOY+bkASpZCyqmJbFmoggFUuY3k2Z9W20EKRxhpjC3atSj27IdZXiO2QVSkjm/VGKaRrWcj+ABRyYtriTSW2dB+m1wclSV5mjFHHMGqokTjOTU3Wjinau+16VdQWeO4jxzTRQhEUVcOWFNybFbHeZEjxB3BME7tWFSWSkrAoK4EQSiCAVS6CZaKEwyihEI5XQ1DPZrypkoIaDKH4g2KqVCmzRQRd2xYZM7KM5G6F8nj6GKPmNXVXvBWTiARwLbNhBbeqFSGWdhyxAvSOubUC27L43gu2ahTu+rpjCxEvn1+dgqyIAD7HqDeyk1S/X9Q53KUoFrZHDHzRqFZrfPL+GcauTm5bfQ3u7Ofhx49tE/p+FgjR6irrqxtomkpHVxttHS2NNZBRN8U1b9aolKqUiiXOnrxEqSjEwJ3dbWQzOYKhII7rktnMsTi/RGYzx/TELLPTCxiGiSxJnD93mW/97lcZGt7B9WtTVCtVioUSiqIQigTZMdhLvWaQSMa5fm2KscsTpDcyTI5PY9k2oVCQUCjAxx+cJRaLMDk+02gfN+oGlVJFJBevb+LiihVTJEQwFGR1aQ3DMNG81a1j28iyjOO4bKYz7BrZQSwepVar07ujG8uyOHRsHz/9/htUKuLhIxQOkMvksU2LRx4/RnNbE6Zl4TpC8Dt+bZKxy8I2XyyWxSRL19h9YBeKJPPt3/8abe0tfPLBGbHyyuaRJZlSpSwqIySJpfmVxsowGPDT3JLCdV1KxTLHHzvK4QcOcGV0jKamJI8/8whPPv8o3/tvP+Hj98+w9+BwYz312o/fpublxxiGydlTl3jxG8+xvLDKU8+eIPLNMK1tTUQ9clCt1nnvrY9FWrFtY1k20+UqKyvrfOmrT/29V0yfFZqmbWuHBwjdsor6h4L7xOY+GlD9whosqRqa7qOe3Ww4VLYSgu1qGScQRPaC21zHESF4NwmGt+CYlrg5e2+TdR96LEHNMrHKRZRgGDUgOp0kRREBeaoKhpf/4AUEbk0WXK8Y0TENYQm3bRFcFwxjVkriPCwTFEW8rVS8MdHBFYWbliAIjmXiWjZ6PCHIUsDvrQ4EuavnMoJQISzikqzgmBZGPoeOOAc1GMIulxtrMceybuhDPBt2PZMWWhtJEvZqzxUl6zpqKAK4giB5RaJ4wXrgrWM8F9Td1hp3giTLnrPqzuRGUrVfihhXTH7URpM7gG2aja/vVgh7+q9ulz81PsO1KxPb3ua6LhPj0zQ1Jzl0bN+212q1OtlMrqGbudNUJ5vN887PPtjWKi2fvsT+Q3s49tBBSqUK5XKZ4d2DXDp/Fd2vU6vWUDWFYqGEaVroukYwGGT86iRG3aC7T+S2TE/McP70ZeLJGLVKlXA0TD6T5/t/9VO++o3nicdjjI9NCpu/qjCyZ4jung4unrvCZjrLiSce5Id/9zM+fOckza0pcpk8Pr+PE088SGdXGxPj0ywvruLioqkqiqqgaSq9fV1MXZ/h6EMHqZSr5PNFOjrbqNcNYvEIjuMwMNTL+2+fxLJtotEw1WqdF156muvXJjn28CH2H9ojpqK6xs6RAc6dHkX3aQRDAdo7W+nb0c33//pV9h0Y4ePp07R1tHB19Dq79+1icnwGy3ZQvQDNQ0f3se/Qbl754RtcuTjO8UePAhLVSpV4IibSjV0w6qL4tb2jBdMw8ft9rK+JSo9gKMgjj+/j4vlrXDp7RWTdhILIikLvji7+4H/4DpPj08zPLGF6UyDDMEQvl+uK9ONwkHgihuyFjd4sDnddlyuXxqlWamQ2c41KC01VaWpJMXrhCp3dbY2Va2Yzy9LCKuVyhWg0TEdXO/HEvdUD3cftuE9s7qMBxe9DNYNY9RrOlhbFIxay7hNOKUXFqpYbwW22adwozLRMT0jqaSokCds0UANeQJ1P1Db4Uy3Y9RrgNizdIr8FFJ9Y67iezse1TXEjVhRgi6SIsD/XddFCEdFN5ImMbcuEek2USIZCIlFYUTDzWRE4KMliUuQ4SIqMVS6hJ5I3ykO3iJjrogQCuF5799YayfWC9VzbxiwVUMMRzEJOfANv2tHpkRhW+cYNXXLdRuCgpMjokRiK7sOq1XAsU9jbPR2QtOUokwRBkRTtM42GJVlGDYVEPtAdoAZCX5iGRdE09Hj8tl4yWfeJ8tJfkZbGNEyuXr5+19evXbnOyL4h/H7RLD55fYZzpy6xmc4iSRJNzSmOPHSAHQM92z7uwpnRbaQGRHHlldFxdJ/G6PlrTE3MomoKwWCAzY0MyVSCSDRMPBEjnoiSyxbEzRKvQ6u1CVmSuHxxHNtxqFZr6D4fqqqSqxYolSpcHb2Orit867svcvKDs5imxerKOmNXJ5m4PkNre3NjkpTPFSgWSgzs7MN1XN5/+xOeeeExgsEAsixh2yIvqVat09XTQS6bR9UUkqkEwVCQUqmMJEvYtkV6fZOHHz2G7tORJKHTCIaDDO8ewDQMAkE/8USMt3/2PrZlE4qGae9o4clnHqZcrhKOiOC80x9fwHUdOrpa2bl7gLWVNB+9d5oXmxN8/TtfEW6v5iS+gB9Zkjj5wRkmxqaJJaIsLSxz9MFDrK9tkEnnaG1vpqVVapCbB08c4Yd/+yp9/d3CpVSpoOsahXyBhbnlxu+WrMjIssT1q1OYhkWpWMZxXWRFwef3EYmGkWWZaCzC5kaGXDbP9WtT5HMFBgb7WVpYQVEUUs0JjLrJ0uIKqyvrgix6DyumYTI/u4iiyBw/cZR4Ms70xCzvvPERtZts2aFwkKeeO3FPKyvXdUlvbLK5sXVtJreJ1X8bcZ/Y3EcDkqygRaLIuk4tvYHskRdxc71xqTimdaPGoFoVglzP2u1a4jXJ0704hoHtpfVaZSHYlXQ/jtdPpHhCY0GGJOxaXfQoOY6X5CzqEWTdhxIM4doWejQmslFUVbxvTRUTD81rufZIELKKlojg1g1xjoqMrOq4krcCafjQbdC2C1hd28K1RUqxbdSR5C2btTdFcRHTIFVrrMIkb9qiBoIo/iDWXcS0riOKPdF9KJqGJckogaAgSDdluLiShBIIIPt8jWLMe4XiD6DZjuj62jqmJAILFf8XG3an+gLISd0LfvT0SJr++TeLfwYYhrkty+NW1Gp16jUDv9/PzPQCb732QeMG6LouG+tp3njlXV548anGzSebyTE9MXfH4yUSMb73lz+ls7udSDTMh++eoqk5ydGHDhKLR2nvbEHTtEYbdDgSolKpoesaB4/tZ35moXHjq1VrtLQ247oOsiSRakoQCgWQZAmjZrC+lmZhdpne/i4yXlz/oaP7mJ2cb1zzjuNQyBfp7G5nemqO6ck5EfyWSohwPNtBVUWcfrVe5ciDB3jtx2/xyBMPsLmRYXl5jZE9OwlHQvgCPizT4oWvPYPPp+M4DnXvPAKBAKMXriJLMqurG8iSxKlMjieePcGl81ep1+u4jkskGqZYqHjhgCEm8iLbp1at8+ar7+Hz+/ln/9MfUK1WkWWFc6dHicWjZLwKCxeXru52WlqbqFRqmIaJ7tP5zh+8TCgUZN+BEcKRIIFggGKhRFdvBzNT82IS6rqomkosHqVarTEzNU+pVGH/4RGSqTgTY9NYpkkoFCIaCzN5fQbTMOkb6KFYKBEI+Pmv/8dfk0zFsUyLVHOS448dpVIqs7q8fscy2XyuQC5fwEXi3Tc/Jp8rUCqWsSwb3adhmRbvvvkxX//2lz91VWQYBudOXWL0wrVGCJ/u0zl0ZC8Hjuy5owvutwG/nV/1fdwVkiwyYtRA8K4psGJFIsTGtllH8fmEuFfTcL3mbbwJhS/cdGMN4YruJj2WxJ9sxonGxQ1bljDzOcxaFV3TcOpiVYOro4REr4wcFRbuWlq02Qo7tYuRz6GFIpjVMna1guQRDVkTJZNaIIQtC22MYxhCeHwLR3BcB93nx/UKLx1vVeQYBhKS+Ho9IiMpYt2ytaZyTANfqhnHNMVUS9OF2NmoY1XLyIrqrX6238S3BNCSIs7NNuoo/iD2TW3jSiCAcq+W69t+RoLEyD4/ru1VHHjpvr8KyIrSWF9+ESiXKpRKZTRNlBLe+j30+XViiSjl8p1F1pFIhGBQZCtdvnD1jhMzy7S4elkISyVJwjBMjFuCzYKhAJqmNYS9nd3thEJB+nZ0Mz0xx9LCCrIs8cwLT1AsFvnO77/M6IVrBMMB4sk44UiQuel5uns62b1viKujE0LDZlqiebq9Gd2nU6vVGLsyyYWzl/nO77/MwtwyuWyeRCrOwSN7aetoYX5msVG4CEILpGpCT7e+mqa9o5UXv/EcH7xzkpnJeVzEymX/od3EElFcB95/62OSTQmam5P07uhmY32T1cU1LNumu7cTVRGTnea2FJZl89qP3uLgkb2srW6g6So9vV2cOz3KJx+eZcdgL598eJZdIwP0D/bi2DalQhlVVTl0dD+1Wo3mlhSPPfUwDz9+jI21TeZnl2huTfHy77zA2JUJ0RZerfOzn7zNP/6j32FpaRWjZhAMBxjZu5OZiTlWltdZXlzBMCyefv4ETa0p/N7Ea/zaJOFoGN2n097ZxuZGlkq5wvrqOvMzEWzbYe+BYa6OXqejq5XZqXkv0TjC3oO7qVVrvPPGhwS9vKFAKMDiwgrzs4s88cwjvP36R3ckJjsGe8lnilQqNZaX1pibWdgWihcKBekb6GZ1Zb2R9nwnTI7NcO709lJIo25w6uPzRGORbeux3ybcJzb3cRskWUYJBHCKdyY2aiCIrKhYRhFsW5AgwxD2ZUkS9nCzLgS6qiqe1L2KAkmWsapldF9SCIWNquhhMk0U0wugcx0co44v2Yyk+bCLObFmqpRR/cGGk8hxHNxqBaOYQwvHsL0VjhDsGo3GdFkTN3TXdkSa8C3Q/EFkXUdT48iqhlEuooajmIW8SDG2LEHOZBlfIoErK6ihSKNLC0lGjyWQVQ2zlBfllpr4fLZtIFkmii+wTXS9TYDt9T5JqobqNdTLiioEh6UCsqKQiP1i+3ZF0+AXqPtwtzq0FPlXKvD9rKjXDa6OjnP54hilYhlN1+jf0c2ho/tINt2w2aqqyp79u1hZWrvjE/XeA7vQdI18rkB6PXPb61tYW96gWqkRDAWEEDccpFQsE46ECIdDVCpVLMvC59N45oXHKRZLlIplYrEIfQPd2JaNbdv07eimMlrhjVff4+jxg4zsHuKHf/sasiRRKVW5fPEau0aG6OntYmZqjrWVNI7j0NPXydrqBqFQCMd1OXx4H//+3/5XmppTdHS1CjeTItxMiqagmir+gE9MowJ+6rU6qVSSaDRMpVxj9MIVBnf1c+joXkzT4uCxvcxNLaJpGvsOjTC8d5Cp67NcvjjG+dOj/LN/+Ydoqsrc7CJtbc1MTc6RTmd5582PGNq1g30Hd/Pmax9QrVTJbuY4e/ISBw7vJhQO0NbZwpdfeprZmQUmr88Qi0exLJu9B4a5dOEaX/7aM9TrdXr6u3jn9Y+4NjpOpVJlz/5hFheWxRTq3QU2N7PsPzjCT3/wOsuLqxw6th9Jlvjk/TOc+ugcsqKw78AwkiRz7coEew8M09SSYn0tTUtbM9l0Fr/fh2maLC+ukt7Y5MChPWysZ1hf2aC1vYnjjx3FsWySqQTJpjiqqrKxJtxptu2Q3sjQ1t5MLB7FqBvksgVMy+LxZx6mUq6C67K4sEIhXyTVlKStsxXLsihvVpidmseytve5lcsV5meWqJTu7m406gaXL43d8TXXFevP/sGe38qpzW/fV3wf9wTFFxBlk/Xt43pZu72Z3LEstFgcxzRw6nWRAOwTIXBW2StF9BKCFU3DBcxiAceo45h1QQyiCeGaskwkSQFZwqrXkOtV1GBEFEvelPwLeIJbIWoWq6WbbsBe1YEgNjpqINDQ4TiWKYiWooom7FC4sUqTI1GUoCBqWjAkcl8URbjCwjHsehWrkPfyWWR88ZTot1JVUYlQq3mnJvJ+hFhYJAyr3vdNVjWUm1dfji0a0z3i5xgG9cKN0C+7VkWpVQQpU365iaCubYuW92pZTK5UFTUQurciy18DXDx7mTMnLzb+bdQNxq9NkdnM8sJLz2xLe+0f6OGhR45w7swodW/N4/Pp7D+8m8Gd/YAgQMqnpPaqmtJ4PRwJiSyYC9dQFJmFuSXOnrrI2soGqqoSS0T45u9+FVmWqVVqpDcy1Gp1r6jRYmVpjUDQT2trE6urGxw7fpD/+P/7C2o1A13XaGpOEgwGOXRsP5sbIubftm2+8rVnuDI6zoOPHGHsynUkJLKZHPV6nUgkzPzsEj/461f41j96kdd+9DbRaIS6zyCRiFLMl9i5Z5CjDx3kzVfeY8dgH4WCKGw8eHQPM9fnuXjuCsViiWQqTr1u0NXbycjenSSSMWTgjZ++wzd+70V+/L2fidqCjSy5fIGDR/byyg/foHdHD9l0lqaWJLquszi/wqFj+9izbxdnTl5k996daD4d2xKanVqtxu989yU+evckA7v6Of3xeZYWVjAtm67eTnw+nYGdOygWSnzt2y/wzusf0tbRyvkzl4UGqFhmYKiP13/6DpZp45oWpimyrer1Omc+ucg3vvMV9hzYxZVLY+wY7MOyLCzTFPUJhlgnvffWx40G9VhiFddxWVle5/yZSyRTCZ594XHefv2Dhug71ZRAVmQSyRi27XDt8nU6uztYmFtiZXGNA4f30NHThmVaXB+bZnj3IIZh3EZqtlAuV26sy++AarVGqVi+6+v5XIF63bhPbO7jPrYgqyq+aFysmzxyo+i+hogYhAAUryPINQUhUYNhkBXsagm7VrsRpAdehUAdTfdjVStCg+I9LYucGh3HtrGrefBs4K6qIemGmLh44t4bxMYVjiXbwr1lvyRrmic09sogw1FAkCUlGBRiYURJpHTLA7usqMgBFQJB1GAYu17DKpcxcxlBolQF1wsVtI0aUrmEFo1h3RSI59oWajAIuFjVKq5Tx9EESdCise3Tmy2HkqdJsqq3PKXJMpZpYpQKDbL2y4AIWcxjVW98HY5hYBgGmm2jhSO/lM/7eSGbyTN68c5PsBvrGRbnlxneM9R4m6qqHDq2j74d3aQ3MoBLsilJ6qbJTigcZHCon4vnr9zxuDuHB7ZF0u/ZP4xRMzh3ZpQ3XnkXwzBRFIVwJEQ2k+f//A9/xx/+s+9QKpYY3NVPej1DIhlD13089aXHUBSJjfUM8USMc2dGGdy5g1KphN/TRamqwsLsMl/62lMossLi4ip1w6C9o5VEKs7pj86h6ZpI3k3ExCQpHGRxYYVcpsC+QyNcOHOFWCLasJN3drXzxk/fJRwO0dHVSpvdTDRxAFmWOXvyItFYGMu2WZpfQZJlSoUyX375GdbWNjDqBs+/9AyffHCWxfkV/AEfsViUPd07mZ9bZDOdxaibOK5LdjNHOBKit7+LQr6MaVlcuTROPpcnnxWRAMeOH6S7r5vRC1fJ5QvMzyxy8qNzRKMRWtpEDcADxw+R3shw9uQF1lfTKKrC0HA/ly92kkzFWZhbYs/+YRwXLNsmmYpTyJfIbGZxHAdFURi9eI1SocRL33yesSuT1Gp1Cvkie/cPE41HOfnhWUFY/D6OP3qUV374Jrv37SKfL5DN5Mnnilw8f5W2jlYKeXHuzS0pctk8xUKJ9EZGlH5OzBGNR9h/aDdjVydAgrnpBQZ29nPh7GUSqThPPPsImxsiUmJlaY30+iYAPX2d+IN3f5Dx+XX8Ad820fHNCIaCv/EJwr8o7hOb+7grJEVBDQRR76KNEERHFCkCYl0jiYZqNRjGlqs4tn3L1EcCvF4k171RaGnWMUsOgZZW7K3cE+8GblerKDHxh921rRurFUkW1Q26D9Unko0lbxW2pYXZgqyoaNE4UqVEPZdDQkxvrHIRu1YR6ci31ES4jnA+2bUqkqpiG16ejumILBvvj0ajquGW7ByrXMJxXY8QiARiWVGRb7Fay7reED5vFXM2XvMsruCF9pnGL63pWpCqO7d9m+XSz61x+FUjny00Ji93wurK+jZis4VEKk4iFb/rx+3et5OlxRWP/NxAW0cLO2/RMPj9PoLhIIVskVA4RFgSAX6KoqAoMrlcgcuXxunr78Z14djDvTz86DEisTCBgJ/piTkunb+CrChUylUisTD9gz0EQ0EsSzh1yqUKuBIHj+wlny2Q9nqkfLreuHH39ncjKzIT49MkUwkOHN6Doir07ujmwOG9mKbJtdHrVCpVXvvRW/j8OrZls7q8Tk9/F0vzy0yMzwjdSNBPKByiu68LSRKW9ovnLtPUnKKYK2F5KxzTMFFVBV3XaOto4fyZy5imRaVSJRINoygylXKFzGaO/oEeLpy5jFE3MOomtm0TCPq9lVSEto5WYrEIrusSCgW9lZrM0QeEiNl1hWMsGApi2xbXLk/w3T/8BldGx+kb6CGRiOI4DpqqNiYWuWweWZYJR0JIwJlPLhAI+dkx2EssHkGSZdaWN7g+JohOJBpmx1AvV0evE46GCUfDXtZQkFKhxLXL4+wY7GNxbolAwI8/4Ofq6Di6J6Du6mnnkw/Oks8VSCbj2I7D6IVrfON3v0KlVEHz6bz7+sfk8wXy2TylYpnd+3YxsmeIet1g74ERAv67l7/6/X5G9uzk4w/O3Pm63bvTyxj67cNv51d9H58LJEVBj8Wwq7ogKrKCVS41dC6C8EiNBGEk0aNk5LM3qggkGkWJruOItYu3wtnSdmxpINSg0OJsQVYUHC+gz8VtJOe6ji3Eqrc8rTiWhVkqbSutE283vRqEhHBOeY4d2zAatQRiUnSDkLiWiaup3jmK8EChLRLn59hWI7DQMk1P0GxheUTu5umHJMto0RhmPteYjoGYOmnhSOM4N38vfhnYyvi58bmcRq2GJIuv+RfR63xRUNQ7T7JMwySXzTMfCfK9v/opnV1t7Bjqo+keLbGJVJwvffVJZmcWmZ2aRw/46O7uIJWKEQgFcRyHhdklJsanKeSL+H0+VlbEWulm+Pw+mptTWKbNngO7BKF3XGZnFmhpSdHe2cbgrn4i0RBnT12kVCxRLlcoFcu0tbfg9/vYTGfJ5woszi9Rq9Xo7GknvbEpErIDPhKpBBtracLhIJlMnqbmJH6/j3qtTktrirphcuXiNQrFMm//7AMGhvqwHVuQAE3l/bc/4XB5P23tLSzOL1MuVUQgnWnS0tqMUaujyDLrq2kkSeLMJxcZHO5H01VM0yTui5JIRlmYXyYaj6AqCsFQwNMSCadVrVbHH/CzvpamUChiWRbReARFlvH7fZz66Dwvf/vLzEwtcPzRo0QiIYy6QTgc9PJ+yliWRSQaJhaPMH51kquj1ykVytTrdQzTYmh4B6FwAE1TkRWZcrmMZdog2Wiahj/go62jhdnJBZKpBJMTcyRTcT5+/zQ7dvbx4COHWZhfZmCwj2tXrtPcnMK1HSzbJhwOkkjESKcz9PR3AXi1EuuAhFE3vb6tVWRZIhwJMTe7yP5DuxvZRLKi8MkHZ1lZXGUznWV4zxCGYVDIF+np62J47xCO7dDa1vyp1+au3YNsbmaZGJtu/G2QZZnde3cysLPvnq7vf4i4T2zu4+8FWVGRwxFknw8js9mIzxekRQhPXcvCl0jh4uLatsht8dw5W8RAUhWwbRzLuuHe8SYViiZWVLLub6QHe49s+GIJJFUV6xtPPKz6g6jh8G2iV9c0bguKc21LtIc7DpKqioRk3Yceid2YRHF7d5HrhQeyRZIkkH0BpKooAL2ZgAGig8qLuberFWHjvslCr2g6cjKF7PMJMiVJgLT9OJ4O6JcO1xUJzabRWBVKqooW/vUODGtqTjVyYLZgGiYzU/MU8sWGWHhlaY1rlyd47qtP0N7Rek/Hjsaj7D+0m67udi5fGuP0J+exLZtUU4KWtmYmxqYbDqu+Hd3Ua/WGiPhmqLpKqjmOZTmc/vjsNrdVR1cbxx46yDuvf4jP78PnE2uGcqnC9bEp4vEo5bJw7cUTMVaX1ymXyozs28Xy4iq6rvHIY8e4cO4KPl2jUqnhui5zM4sM7upn7MoEF89d4bGnH2ZzeoG29hZq1RqlQpnu3k5MyyKfK5JJ5/D5fXR2tbG6soFlWaTXNmlqSrK6sk6pVOGxJ4+zsZ7GdaGQKzG8e4jlxVU6utvQPB3N3kO7uXj2CqmmJPOzi6iqVx9imuwcGWB6cg7TMLFMC59P5MRspoUrKRQOMnr+KvlsnmPHDzN+bRJVVZkYm0aWJSLRMB1dbcxOL1ApVwlHQmysp3nwkSN89N5p/uI//C3f/O5X+eDtU9TrBmsr6ziuQyqV5Ovf+TKL8yuoqkp7VyvDu4d45/UPmZ6Y5cDRvfzVf/k+sizT1JKiuSXF+uomoXAAF5dYLEK1WqOQK2IaJlPX53j86eMU8gWujI7T1JKiu7eD+ZlFVpZXRYCfLFPMl3BsF6NuAhKmabCxlr7JZl6lVhXTxgvnLrNjZx/HHjqApn/6g0QwFODxp46za2RAkE1ZorWtmZa25t/aaQ3cJzb38TnBtaxtHU5bvVCua2PXhXPKtSwh5vWyaW58sEjDlRXRCI6E0LF4tQBKIIhrmSiBAFokJuoCXEe4ibwxsxIINd52t3XJrb1EruM0xL3iDeJ/HaMu8l9u5jKegBgvX8d1bGxTQXZEfo6s6aJWIJbALBbBs23LmiZIjSOKNgEcxxaf8xaOIsli9efUqjeKSG8+BX/gc7Fru66LY9SFtd0WRFKs726Q0punRN5JC0u6Fdi24vt1QiDo58GHj/DWz95vZHrksnnyuQLHjh/aZnUulytcOD1K64vN95zqnM8V+NlP3yWzmW28bfL6LK/+6C2efO4E5XKFjbU01XKVXbsH+dHfvoaiKgQCNyY3TU1JBob6G4WSNyO9nubC2cvkcgVC4SAHDu/h5EfnAKhWapRLFVrbm2lrb23kGhULZeq1Gt29HVwdHSeeivPQI4eZn1vGtCxmpxc4cGQPA4N9nDl1kWql5gXEKdRrdWKJKL/3h99gaWEFF/jyy8+g+zSq5SojXupvtVrHtm021jcBiaaWFP6Aj/bOFpYWVigWyxx5cD+KIvPOGx/iD/hRFIWxKxP80f/l93jz1fdwXTGx0n0ajz/9sOiTUxUSyTiWZaHrOqvL62i6RkdnG/6Aj6e/9Bi9/V34Aj46uwWJuXJpDNO06O7tJBaPMjM579n6VSGmtmy6+zox6gbJVIJv//5LfPD2SQJBH4cfOMDQrn5+9LevUa3WRAt4JoeqKgzu6uf62BSzU/M895UnuXzhGumNDHPTCzzx7CNcODNKtVJjY22Trp52mltSbKxvsu/ALs6evEA0EaV/oIfLF8dYnF8hly1sK7sMhcUqsW9HN5Ztk8/dqBnxB3y0tDahqmojx6a3r5Om5tQ9XZeartHd2/mF90/9OuPX8y/UffzGYZtIGLGmUnSfV6x5Y4XiAnoiSS19UzqrJLJiZH8AWdcx8jkUVUMJiDwdF9CjMWGZlhWUO9QB3Iv249Zph2tbN0gNYiXkejcbu1b1BMfeKsoS4tl6Ni3WM94awbYNj7gIoqLoPqSESEp2bBMc15vU3Pg8sqzc9WYqqxpaLIFZKtwolJQkfJEoaugXy7TZ9jW7osLBLN5wXTmGSI/WIjEUvx+zXLrt47Y6vxyjhqz+4mWZv2wM7OxraDVWl9ewLYvhPUOYptUQeW5hYWGF7GbunlNa56YXt5EagHKpTL1ucP7MJVJNSU5+eA7Hcfjat17g+KPHuHT+ChIQiYZpbklx6Og+gqHAbYLPRDJOKBzgo/fPsLGaJpmKMTQ8wGNPHWf0wjWym+IGfOSBA8QSMdZXNwBINSU4d3rUC7mUyGcLNLc2sdMrkZybmWdqYoZL569i1A1M0yKfK9DV04GqKti2w+s/fdfj7C6mYfLUlx4l4Pdx7tQoX/3m84xfnWR6cg5ZlrFti6987Rl++Hev0dPbyT/9H3+fumHwg796BVmWePCRI1iWTU9fJ9lMnvFrk3T2dLL34G6q1RqG59KpVmqsr24QiYpr2jRM/AEfO4cHGBzuJ5POUi6V+ej9M1TKFUzD5OhDh3jha8/wd//tJ6Q3Mvj8PqKxMLZtIysyjzz2AJubWaauzyBJMh++e5qlhWW++0++yes/fZcdgz389Z//ENd1CYYCBEMB+gd7qVRqzE4v0D/QwxuvvEc4HGJgVx87dw8SCgcx6nWaW1MYhklXTweyImOaFkcfPIgv6Md2HCauTXH0+CEUWaato4VwJLQtnG/fod3UKlX2HNhFqVghkYwRCPrFWkpWiMVj+AM39DThcAjTNLFtB/+n6Gzu4864T2zu43PBnbqHZF0HWfZqEVQUnx/F58eVJGzDwCoVGu3PjmGiBENYtRp6NC6mPYj1jhb8fCoAZE0X4XpbdQ03TXAUn38byQEaOh3HMLzKBws9msQx6163lSbWZKaFU6ugaDHxcbIsdEL5O2dQKMHQp66UFN2HHE+JPivHxZUkMutp2j+HfifHMjHvlIgMmKUiWjSGHolh1ypi/ecRTJE0LfKB1F/zzryOrjY6utoA+Mn3fsbc7NId38+xHezPkOg8OzN/+zG8a2Z6Yp5AMNCYwnz/r3/KkQf280//r3/A+uoG7e2t7BwZoLO7nVd++Oa2Y8STUVYWV1ldWcc0LQzDYGMjQzqdZfeeIR46cYSdwzsoFku0tbcwN7sIiPWopmlMT8ximWIaKkkSC/PLdHa3k01nCXk32HA47G1qxccM7x5iM53l7/7ix+RzBSzLQtVUksk4l85d4eXvfJmunk7W1zZ48OHDPPfVJ9A1nU8+OMO5U5doa28hGAqQzeeYvj7P+LVJbNtmenKeRCrOxPUZTjz+AKWi0AhdvngV14XHnnwITdN545V3efjRo7zyo7dRFIV9B0fwB3wEgn4Cfj9nTl7k6uh1fD4d0zDZc2CYn/3kbb7y9WcZ3NnH269/SKopgaqqRCIhguEg8USUv/rzHxAMBUkk4wQCQpP0v/3Zf+If/9G3uXThGvV6nY6udhLJGG2drUiSQzAY4vq1KQ4/eIDBnf2UPYFztVJjemKGww8doLu30+uaSmPUDQ4e2Ut3XxenPzqHbTuUSmWuX53k4NG9LMyt0NbRQiQappAv0t3byWNPPYTP72fs8nUy6SyBoJ98tkAoHGJwuJ9273otF0t0drezsrzGh++dwrZtOrvb2TUy2LimK+WqyP4Zm6ZeN+jt72LHYC9NLfc24fltwH1icx+fC2RdF2LeW8brsqoi+/34ooltN/NAUytmMOitsIQNvJbPofsDXmmi163i1Raovr//U4usigZqo5gTFQje1ETxB1ADgdt0MZIso0fjIp+mWsYxhOhPjUQF8bJsoSUCrGoVJRhq6GYUvx/Njm6vNADUYKiRZ/NpkGQZxbOr27bdWK38InAdG9swcE3RMuxapiCit5JF1/GmWLZoPJcksXa7aS32q6xB+EWQak7dldgkkjGisXu3sN9pUhjwnrIrleptPZ8Xzl6htb2FtZUNnvvKk/T2CaFpc6sIh7v5uONjU+zaPUgyleDNV95FVRUCfj9zs0touk42kwMgd9PUKZGKMT05y9rKRmPq5Lou5VKF5cVVHMdh/+HdFAtFNN2HURflsvlsAVVRyKSzJJsTDVKTSMaRZZk9+3fx1qvvs7G+ydT1GXSfzq6RQYaGd9Dc0sTKyhrxUBRV0zj1wTlM08aoi/oJwzAplyvUqjVOf3KBSDTMl7/2DKZlUsiVWJhb5qc/+BmhUJAP3jnF4Qf209bWzI6hXiRJ5uRHZ1lfTzN+dRK/34csy5iSSWYzRzIV58d/9zP++z/5LvFEjM10hkBATF6SyThvvf4hyWQcVVMxDYN4KkYkGmZ5YYXLF6/R2dXKw48dIxaPIkky+XyezGYOv99HKBRkZWkNv99HsVCiaggdzfCeIZbmVhhNX+Xo8UOkmhIoqsK1KxP85PuvI8kK0ViYE088RD5bACT2HRyms6cdv89HPBmnvaMF3aezMLfE3Owimc0cSk7myedOkM8VME2L86cuoigK+w/txrIszp8ZbZDmQn6C6Yk5nvvKE6Sakrz75kfMTN0g2Rvrm1y9PMHzX3mC9s5704z9Q8d9YnMfnwu27NRmIY9zk2VZVlW0W0gNIAL8VAWnXqe2uYFj1ESK7y2uH3srxO9zIDYgCJgv0STCBC0Tu1bDcW4X+25ZsAW5iWH5/UhbWTq36k8Al+3nLUkSaigsCje9Y0uqKo75BQbdObaNWbjhthLJz1VkTRPE6ZZzkSQZWdXuWqch619sz9TfFwM7exm7OiHSX2+CLEscOLz3M435+wd7GtOSLYQjIWLxKD6fzurK9vLLvQeGWV1ZZ3MjS/Wm6oaBoX6uX5smFBY35VKxzMHDe3j79Q8YGOonmYozdnUSWZbp29FNtVqlpa2Znbt2MD42te1zZzZzjXWOqir4fDeym3r7OoknE7R1tOA4IqZ/M51haWEV07JYW9tgcW6JWDyGi8va6gYDQ71MTcxx/dokfTt6aG5polKpMnrhGqVimX0Hd7NjsI/VpVX2H9rNv/+3/5Wdu3aI68q2aGtvAYQlvJgv4Toui/PLbG5kOPnROVzXJRwJEQgG2NzYJBaLMDuzQGYzQ7FQYWJ8mqeeP4GiKJimSTQm2sNdx+Hhxx7AMAx0XadULNPS1syL33iOUx9dILuZpae/k1ymgG1bnHjiQS6cuYyu6wzv3Uk4FmHHUC91w2RjdYPFhVURBlitovt8DOzsp6OzlYGdfaTTGcyauP47u9r44N1T7BoZIBwO0drRzAdvn2R2Smh7hvcMkc8VGL1wjRdefIq19TSrKxv09HVx4Mjexs+qWCgxPjZFOBJqrKFb2ppYmFtmeXEFn99HU1OSy5fGMA2TB08cYW1lo/Hx9brB+bOXGRjs3UZqtlApVzh76iIvvPQ0yhdhMPg1x31icx+fGxSfHympeWWHooJgS1R7J8iKiuSTkDUNu16jXquhhUNsV+1KDTfRLwrXdb3+KkekCys31mKSrGBstXNvnZeqoodj26YTiqZjK0pjQnPb167pt63jJElC0XTQfnUhWXalvM1CvkUwxcRKabjYtiDqJ6LUc9nbHGRqMIzyGxb41dzSxPNfeZKzpy6yvLiKbTskk3EOHNnL0HD/ZzpWb383nd1tLC2s3nijJNHT18nAzj7+4j/+nXDsxCLs3T+MoipMjs+QaopvE5K2dTSz7+Awb7z6HsV8STRih4IM7OxneWGVweF+nuxqY2piFsO0GN49yLGHDxONRWjtaGbsyiSGYRCLR9k5MsDK0ho+v45jO8zPLhIKh2huTSErKm/89B0mJ2bw+/xUKlWSTXF+/7//FpPXZ2hta6ZWrVOprIELiiLT2d3Be29+RDAUpFyqUCyUxLpYFiuufYd2EwkHWXIcKqUyB4/sJRaNkEzGCYREunepVEZVFCRcdu0ebGTHBIN+QpEQLa1N2LbD/kO7uXzhGrVanX2Hdos1ngvVco2wZ/H2+Xzs2b8LkPj4gzMsLayw98Aw3T0dPPjwYT754Ay5bJH0+iaO7ZBqirNjqI+ro9dRVIV4QnyPANbX0lRKZWamFnAcm2RTAtuKUCqV6d/RjWmYHDi8h7aOVsrFEtWaQXdPB4cqFTRVo1wqU8wH2FjfxB/woekaM5PzZDazaJqKpql89eVnWZhfbqQJb6YzzEzOMzM1z+ryOk2tKdo7Wllb3WBhbpn52UWxulYUWtqbuTZ6nVKpzNrKBn7/9vC9crHM5bsEUAIsLayS2czRfH8ldZ/Y3MfnC1lRQPdatl2R/+LKyl2nFJKiiGbrUvGOryt+P5Lyi68/bNPErhSxarVGpYIaDKMGgw0XkqRquKZn+VZUJG9S47pu47wlSaQU2/XabVMlJAk18PnogD5POLZ1W4qx67go/oBwRFnmNmKj+gONiZIvmcKp10TnliIj+wK/1NTjXybaO1t54aWnyWZy2LZDLB5pJPl+FoTCQZ567lEmr88wfnWSfK6Arql09XQQCgY58uAhbE+QvrK0RrEoRNhPPHOClpvySM6evMh7b32CY7sNt9H1a6c48uABevo7Of3ReRzXpb2jhWgsTDQWJZGM4/f72LN/mN37duG6YsKyurTOjsFeFueXmZtZJBqLUClXSKUGuHj2MqVSmfaOVhzHpa2zBVmWuXxxnB0DPdRNA03XqFXrqKpopq9766pUU4J8rohl20hAOBomFA6KWodwkIW5ZVYX1zj2yGEunbvCMy88xhuvvkc+V/RyWmT6B3tJJuMYpkEwHOLp5x/j8qUxSsUKqeY4kUgIy7bZtXuQ0fNXOXRsP1dHxykWy8TjUUzTork1happXDhzGVVVaGpOEo1F2ExnOXPyAqVimTdeeQ9d1wiFxfTsg3dO8tRzJ7Bsh57eDt549X1279tJNBZmcNcOfD6f+L5vZGhpTTEw1MfaSpp33/yI57/6FM2tKZ7+0mOEwgEuXxxvuOxaWptYXFihXCyTSMYYvThGPB7F8qotLpy5zM6RATq62mhpbWZ1eZ2zpy4ydmWSUChALB5lemKWS6UyX/nas3zvL38CiKb1LSKkaSrNrU1kN3McOraXakUQG8P7PazX7jxJ3TqOY9+7ZuwfMu4Tm/v4XGFVK5jF/A1hrpcro4UjdxXMqsEQit8Ppe1uHFlVkXVfQ2vyWeFYFmYht23KImoDCuA6aBEh9r25KNKu17DLBQzDECQoEET2+RtTHj2eEInC3jpK1nTUUFic/68bHHebBR+8qge/KOS0a9VGHpAaCKHeJNJWNB1F0/n1jeP7bFAU5Z7ts5+GSDTMoaP76O3r5P13TpHN5FheXKWpKUF3bwcXz15meXEFRVVJNiV49IkHOfHkg4BoHL8yOs5f/pcfsLSwQrlUobk1RVNzEgmJc6cu8bXfeYFL569iVg3mZ5foH+xhYnyaUDjIseOHAEGyJUmiqTmFpms88PBhAgE/1WqNWCwqJiSxCJvpDLZls+E6gIRjOwzu2sH66gZHHzrAe299zLf/0dd47advs7mewXFcIuEQQ8MDLC2uUC1XCYYCRCIh6nWDcrFMoSCIy+69O5kYn2bs8gTtXW0UCyUefvQYm5tZSsUyew+M4OLy5//hb3j0yQdxHAdVU3nuq09y9uRFBob6KBXLjOzdSSDgZ3DXDhRFpndHN+NXJjj84H4unrtCNB7lk/fP0NLaRCQapm+gm3rV4OOzp2nraGX86hS1ar2RARMOB2nrbCW9keU7f/AyF89c5ssvPc3a6gbpjSwb6xlMw0DTdaLRMOdPj/LJ+2fZd3CEh04cRffpFAtlgiE/mc0c66vrqKoqNFSui23ZuMDy0hqBgB/LsnARDwyG4X2P8kVkWeLv/vLHnPnkApl0jrT3s3j6S4/R3JxkZXkNf9APoj2BpuakmGRZtgiB9Ouk1zJMT82xOL9MZ3cHjzx+jGg0wrkzo7dfmEA8ESUW//WuPfmicJ/Y3MfnBrtew8jnuNnajOtiVcsiXTdy54A3RdPxpVoIOC6yNw1RfH4kXUP1BRqdT58VjmncdXVkVsrI/uA2m7hVrWIUso2JjGvbGGYexV9Hj8RFxYQvgKL5GjoiWVFBkrCN+g0tjaZ94VoaEEROFHyKwEOxdlNuy8RxLFOIoJNNYmIly59LPs5vE+bnllhaWGn8O53OEktEefjxY1imRXNLirbOVrp6OvD7xYTg4/fPkE5n2FhPU8gXURSZpYUVKpUqul9jdXmDyfEZBoZ2sLy4THtnK7blkGpKMD+7RE9/N61tTY3PqWkqDz5ymAtnL1MuVzjxxENIMly9dJ2F2UUsS0xbajWDaCyCz6czPTFLsVji6EMHaW1vQZYljp84hmXZ2LZFsilJuVShXK6Q3cyRSMbJ54tYhkVrRzPNLU1cPHuZSqXGwaP7+K///q/4F//LP8W2bWan5zl4eA+6T+fMyYtcPHuZQNDP5UvjHDi0m+nJOQ4e2cvBw3vwB0XycDaToxrwU8gVyGZyHDq6j7mZRSbGpnnimUdIJOOsLK0BQpMCMDuzgKaplEplzz6uYFk2FY+IxTSNuZkFLl+4RrFYwrIsRi9cpadPuIeuj00zOz1Pej2Dbds4Xvrz/NwSz37lCarlCo7t8MHbn3Dp/DWG9w7x3psfM3V9hiMPHWR9Pc3GWppUU4J6zUDTRJHlyJ6dVMpV0mubvPf2x4yev8bi/AoVL1TRdVxe+/HbvPDiU9RrM+zZP0JuM4+qqezeu4uP3z/N+moaTVO5cnkcWZLYe3A3nd3tLM4vc+HsFV7+9guEQsFGGOQWJElUbPgDv4YPWL8C3Cc29/G5QWg57hz5b1bLKMHg3fU2uo/NmkFfdzd4mTiy5kPWtF+YINyN1ADC1XRT75Rr21jlwu1rJkRBp+2rNzqzJFlGkYXWxHUczGJeOLlughoMiSnV52DRvhdYtSpWsbBNuK34/CiBEM5NmTVbcB1HvP4LksbfdiwvrN32tny2QD5bQPemKJ3d7Y3X1lY3mJqYJRwJUilXhYBUkjAMk7XldQZ39ZNJ55BkifWVNXr6upi6Pks0HmHsyiQT49NsprO8+I3ntjlfNE1DVzVKxTIT49MM7xkk1RRH03WuXZ4QOSqOSzgc4uK5K+wcGeCBRw6zOL/M5UtjjOwZ4tDRfRSLRWFbLpToHejBF/AjSRLptU1sy2FgqJfnvvokb776PteuTOD363R1t/PS73yJjbUNwmGhiXn/7ZNsrKfp6evimS8/wZuvvEs2k2P/wd2kmlP8h//vXzC4cwcvfO0pdu8dEhOuJZE3tGOon2wmTzIVp29HN4lUHEVWWFpYRkLCtiy6ejq8LCEZRZYJBP0kmxPouk6qOUl6LU2pVKFWrYsSz1OXqJQqPPWlR1leXCGXyaMoMnPTC0Tj0QbpdBwf6fVNxkavI6sKpz+5wLlTo6Q3NtlMZzjywH4kSSKejHH8xFHeeeMjLNOiVq8TDAWJx6McefAA7775EQ+dOMLs5Dz1usFmWuhvVFXF5/ehKArFYplqrc7jTx/ntVKZVFOCM6cusrSwQjwRo1AoEQwGqFZqjJ6/wle/8Ty+gJ9wOMjM5DzPfvlxzp8eZWlxBdt2iCeiHDyyt6Eluo/7xOY+Pkd8KpHwmrm5C7EBKBRLYvX0Oan6fz4huvG6Y5l3TPttvG7U4Q5loHatchupAbAq5UaiL9weDvh5wjZNMSm7Ze20JRpWQ1Gsyk22c1lGD0d+aWWavw3w+e8uorYs67YAxlymwNrKBoW8IJL5vCjs9Af87BjsYd+hPXT3dNLUkqSru5256UU6u9sY2NnPpfNXkSSJQr7AuVOXOPHkA0RjUdZWNnjtx2+xsbZJuVyhkC9SLpWRkHjwxBGSTQnWVzZItSRZWVylo7OVHQM9nPrwHP6An/GrE1y+MEZH92le+uaX+OFfv0K1WuPwg/tJJhM888JjGDWTaCxMpVLlz//D3zacOpqmcun8Fb753ZdINcV452cfcfKjswQCATRdY3pyDiT4n/8f/7zREbWxLqoJNlbTmIbF0uIK3b2dLC2I3Jdjxw/yo799jVq1RkdXGwtzyzz29HF27xvmyqUxsW5yxdpm/OoUyaYEpWKZ1ZV1Ctki9ZpBqknYvZ2Yg6LIFAslatUas5PztHe1YpgWmc0csXgMSZbI5QpYpoU/4KNSUSkWSjzy5IOkNzIM7upHVmRmJud4542PaGtv5siDB4hGwzz13AlOf3yBRCpGV1c77d3tvP6Td7Bdh8Gd/bz647cxDTHBtUyLWDxKqVimVquzvLQKrsv42BTf/cNvkF7P8L2/fgXLtBrhjT6fTjgcwsUll83T299NIV9kZXmNRx5/gC+99BTZTB7bsoVm7P6kZhvuE5v7+NwgKSqYdxG3SV6T4hcIWffBHVJ0Qeh3PktT9Z3KJ13HwarcOYRP0nSMYh6pVACvcVwJBIVL6nOGY9RuIzVbsOs1fKEwir9ZlFhKIKv6r20twheB9dUN1tbSVCs1QqEgXT3txOKfrQerf6CX8WtTd3ytpa2Zppbtaca1Wo3Z6Tl0XefBhw/zkx++geO4dPd2kkjGefWHbwrnUChAJBKmp68TTdf45MMz6JrOyL6dtLY3c+bkBaYmZunqbSeXKXB1dBzbtgkGA8zPLFLIF9E1jYW5JR559AEmr0+zvrZJqVjmyy8/w/mzl6nX6+TzBQZ29jN1fZbNjQwfvPMJRx86yNrqBqFQiPff/oSRvUNMjE2h+3yUSxUMwxS/xpKEz6fT1NrE6so6iiKBBE0tTWQ3s6iqwgsvPc38zBI/+rvX0HWNlrZmovEo1XKVppYU6Y0MH79/hodOHGV4zxClYpnzZy7T1JIiFArgui7dfZ1cHR3n0ScfolqpISGqMBLJOPsOjdDV3U42k6NSqhIIBSgVS1QrFZqaU3z15eeYnJjB59MpFkpMTc7R2tFMLBbGNK1GGafuNa+bhoUkQf9gL5l0jr/9bz+itbWJWq3OsYcOsriwQldPB3/zf/6YQNDPi998nu7edtIbGdbXBbFEgmMPHUJWFELhILZloygymqZRKVeFw8l1aW5Osba6QalQ5tVzb/Gt775EW1sz1VpNZNd44aSKKh6GRDqxl7mlKI3/Pq3EtZAvsbayTr1WJxwN09bR8luVYPzb+9ftPj53bLlt7gTVH/hMROLzgKzrqMEwVuUWciNJqOHotimK6Kq6PWBwC3da2biOg+Pc/v6SpmMVczi209CwWJ7tWo8nP3dy437KpGnrPFW/79e6mfuLQKlY4tRH53jnjY+pVqq0d7XR29fF6IWrPPbU8Uay672gq6edPft3ceXS+I03ui4gsXN4gI21TZpbm9A0lUK+yOZGhnKpymJmBaNu8OWXnmH86iS9/d289+aHDO/Zycb6phAiNye5cmmMJ555hHKxQutQC67r8N6bH6PpOuNXJzlQ2cP7b31CqjlBtVonFA4ST8bFz1pTcRyHUCTIvoMjxJMxspk89VqduamFRmeWaVjsGOzB7/ej6zpDIzuoVCqc+eQ8lUqFxfkV9h3aw6XzV6lVBQkMBgPoPo16zSAaDbE0v0ypUGJpYQW/X0dVVR5/9hF+8NevUK8bOI5LT18nn3xwjgNH9rDv0AjXRq8TjobYs3+Y86dHWV/b4FvffYl6tcbgzn40TWVxfhmzbtDR1YZt2Xz5a0+zmc4yev4qPr/Ok8+f4Nwnl6jVa3zl68+xvrZBLpMnkYrT3tmGJMPs1EKDYGi6Si5boLmlid17hpi6PoOiKNSqNc/9KPPEsye4eO4y0ViEfLZAIhHDMm1e+8k7/O4ffJ2P3juFZQl31NrKBi1tzbR3tpHe2GRo1w6G9wzhui6rK+uM7B3i0tmrNLc0YRgGxWLZW0dpNLemsB2HzGYOwzCZmZylUq6wtLgqVmupBLlsnmgsgiRJdHa3U6mIv6tDO/sJBP3bHJu3YmZqnvfe+phySTx0SZJEW3szjz19nFRTEqNu4DjOP+gpz31icx+fGxSfHy0UEWm7N0HWhXPoi4YkyWjhCLKuY1cruI6NrPlQ/LdrS2RFQQ2FMQq361FkTUe+aW3TyMVxbJFvU6+zpS2SZBnHqONYdiPivvFxti2avT9nYvPz1ly3tpz/NqJcrvCTH7zB6z95t1F7kN7IMHFtiqe/9BgfvnOSF7/1/D3bwHWfzvETR+nqbmdqYo5CoYgsy8iSxIfvnsJ1Hdo6Wjl4ZC/vv/0xY1cm2HdwhDdfe5/rY9OkNzIcPLqHtZU1evq7qNcNqpUqgWAAf8BPKBxkemqOYw8foqkpyeuvvEtHVxszU/OEQgFM06Jm1Flb3SDopeZGYxEK+aIQ1na00NzaJCzGk7NUK1XmZhZxHAdd1zAMk1q1xsT4DIcf2E+tUiW9vslrP3kHVVFoakl57h6Z3v4uxq9OYpkWuk/DsR0URcF1XFRVpe41kK8ur/PEM48wNT6DYZg4toPjOo2Pu3JpjJ6+LkLhEG+9+j77Dg7T1dNG744uERSYiDE3s9DIoInFIqycuczk+Az/0//9jzl78gKO61IoFLly4Roff3CakX07yWZyYs022MfC3BIfvP0xRx44iGEYXkJxlkPH9uG4DhvraZ750hP4QwFymRyWJbJzctk8uC7VSh3bdmhpayaXLRCNhhnY2cf83BJDu3agaRqt7c2kUgnW19NkM3mCQT+ariHLCmsr62yms7R5YX+SIlPKFykUSjQ1Jznx5IOMXZlgZM8Qk+MzrCyuMTO1wMGj+1hZXsO2HYKhQMN91tySItWUZG11g0QyRiwe4Qd/8wqVcpWOrjaGdu3YRsg3NzK8/bMPtuXfuK7LyvI6l85dJRgKMDUxi2XZdHa1MbxnaJsW7B8K7hOb+/jcIEkSajiCrPs8vY0rOqI03y9VY/Kp5yTLqP4Aqv/n1xgogRC6JAs7t215VvUAaiAk8nkQhZFmuSjKPV0xNpZUr63cEaGEdnmr2Vu/LdnXrtVwQ/bn+v2QdR9IpTsKn2Xdh6z/dk9qABZml7hycey2Ru1arc7F81fYvXcnaysb9PZ33/MxdZ/OwM5++gd7+fj9M1wZHce6qfqiXK7w8Xun+fCdU7R3tXHx3BWeeu4EuWyeXCZPR3cnhUKZ5cVVOrraUVWVWq1ONBahVChRrxuEwyGWl9aoVWuerbmGLEnMTs/T1JxkcX6FuOccSjYlGoF60UiEkx+eYdfIALIsMbJvJ20drVwdvQ6IJvRcNk8oFKRWrWEYJu2drSiycBhVqzV8Pp2P3j/Nv/if/4hEMsb8zCI+v4++HT3k8wXOnx7lwOE9dPd28smHZ6nXDRRN4frYtChwtGxSzUlyuQKKolApV5mfXWTXyAAXz11heXGdcqlMMBzEH/ATiYT48J2TSLKEbdkUKdLa3kKtXufa5evs3reL2ekFYp3tdPV2ous62c0cQ8MDxBMx6nUDo24QjUdB8hrRixWe+dKj7D0wwsZ6hmAowPjV6yzMLVHMl0ivbyJJ8PxXn6JWrbO8uELfQA+9/V3MTS9QKJQoFEpIksTAUB/BUIC+gR4SqTjBSJDWtiq27ZBKJUgkE1w4exnLspiemGXvwWGOHNtPpVKlWq6QyxX56L3T7BweoFQqYzsO5XIFf8DH0uIKz375CWam5ikVy3R2trNjZy8je3ZSrVZ56MQRapUab7/xUeP6ymbyXB+b5ukvPcaOgR4AFudXbitYBWhuSfLOGx8SDAWJRMVD5vi1KWam5nn2K0806j7+oeA+sbmPzxWSJKH4fCifUwXCF4mtED7F58exbSRZ2ubickwTI5+5bV1lVysogRCuJFYRSC6Kfncdi4vL52kElzUdPRLDKOa3kRtZVdEi0b/3xMZ1XaHhkeQv3ML+eWFmcg7TuPPKbml+hYOH91Cvf4r4/VOwsZbmyqUx8fR/E0KhIBfPXiabybNrzxD1Wp0P3jlJNBYhHA6ysrhCKBigs6eDRDIOiPTfWq1OW2drY1Xi2DaarlGv1QkGAxiGydz0Ig8//gArC2s4to1t29Rrdep1g+aWJNFEhMlTM3T1dhII+rl49gq2ZTE0vINzpy9RKVfo3dGN3+/j3KlLfOcPXqZSrvLVrz/L6Y/PU6vV+f+3d9/RcZ3ngf+/906vmIKZQe+VAEiCBDtFSiKpYhXbshw7iSU7u1k7aztOctZxNsnuOXu8641z9uez2c06TtZrp9heey07iiRbvReKnQSI3jswvfdyf38MOCJEUqRsifV+zvGxOANgLl4MMM+871Ps5RYam+s5feIsFZXFidV+b5DTJwaYGp+ltb2Rju5Wgv4Q1bWVhIORYpNLodjXRa1WY7NbSSaSOCvKiUXjaLUaFMridPuClKfMamZqfJamlgZCwTCSJCHlJQoUSKUkUqk0BqOOI2+epLmtgddffhtRELj/obvo6GphdcVLdq3nlFanpaW9EYunjLaOZvK5HL19PcxMz/PcUy+TyWapqHJRXVuJSqlAoRApd9kp5Ascfv0Y+w7sxmgy4qpwlNYnlUwTDkXQ6rRsXOuOPDE2jU6rpbm9geraCjxuP2VWMyNDE9z9wB0sza8QCcew222cPj6AWqMiHk+Sy+VRqZQMnx2jo6sVlUpZOm7yrPpQKpXs2rcNjVqNRDH/asfuLcXn79Qcz7x58oLnXjaT5fhbp6iqdqLVaomELxxwq1AoSCRSzM8u0dzasO6+TCbL6WMDVFVXoFLdPOHAzfOdyGQfkGI594XBQD6TujAHRxAQ1RqkQh61qQyJd46jLkah0Vyy5P1Xvl5BKDbXU6mQsplSB+Vz08x/VVKhQD6VJJdKIOXzCAolSl2xmeKNFuAUChJa/cWDbUmSQBAxGH61seWRcOyCoAaKSZ9SQSKXLb6Dv/Pu23jzlSNEwlEi4SiJZIJPP/IQs9MLaLQastksntXicMxcLscDD91FJp1FqVQQTyTJ5/Kl4Zn5Qp5jh0/ykY8dZGXZzeqSF61WS/emTlraGpibWUCv11FdXUEsnmCwfwQQ6OxqpbGljlQ8RTgcoaq6kkP33U4kFGXg9DBtG1rZqVKgVqkwmo28+coR4vEkH/+NjxQTWCWBiionza2N5HJ55qcXOHNyiPsfugurrYxcPk9DUy1ej5+G5jocDjuLiyssL6yiUqvYtLULvzdAY0s9Pq+fxuZ6/L4gWp0Wh8uOdS0fCIqHu0aTHnOZmYHTw7R3tSAKxRLveCzBjj1b8HmDGI16dAY9oWCxJ8zGLRuK/X4EePapl3G7fRTyBRxOO8ffPs3A6SF+67OfYODUEIsLSyiVagoFiWQ8xe5929BoNYiiwNzMIoIADqed5rYGJidmGB+ZRqNVEyLMyrKb2vpq7rhrD6lUeq1hX57KmgqaW7WcOTVEKBRhZcmN1VZGNBInm81itVuIhKP0buumt6+bqck52jqaMJqNhALvHIX3bOos/ffs9MIln39+fxCfJ0BNXRWmsguP/E1mAxNj08W/ExcJXtyrPkLBEA5n+QX33ajkwEYmu0L593pHv3YkpVRrEJVK0sHsBZVKxREOhg/t+j7IuVSSJJGNRdclXkv5PJlMGlXejMp4Y3U4rWusYXx0Co1GfcHOjKvCQbndiqvScYnPfm9qtaqUsPvulvZWuwWFQiz1mdmxZyuiUkE+W+zJsu/OXdQ31nL6xFks1jK8qz60Oi19OzcTjcSJRmI4K8qpq6tmemoOnV5LOBQhk86Sy+aJRGJYLGX8xqMfJZVMkc3m0GjU+H0BKqudJJJJluaW2L5rC7lcHo1GxeLCCksLxUTVmel5fD4/fTs209HVgiRBdU0ls1Pz+HwBRFHk9oN7SCZTPPPEi2i1Gu598CCvv3SYlWUPu/dvR6FUcPrEIIIgUFNbyc49fbz07Gu4Khy8/vJh0qnixG+bzcKJI2ew2ayYrWbmphdpbW/CYNDhWfVid1hRqdW0tDWi1qpLlT+RcJTtu3tJp9IYTHr2H9jNscOn6T81xOat3aRTGeqbaunZ3IEEeFa8zM8vE/CGmJ6co9xpRxAgnU7jcNrp6d3A2f5R9EY9vds3o9VqWFlcQW/S0bdrE2dODgHQ0tZILBZHIYq0dTYzPTFH18Z2vB4fiUQKhUJEkgqo1Wq8bj9jwxNEowkqKhx0beogn8uxvFicKyYqROwOK5l0hnw+Ty6b497772Rudol4/MKCC6ernJq6qtK/RUFcm7GVRxRF8vk8oVCk9HzLr/1/TW3VRZ7jAlKhODTVaLwweJck6VJFlTcsObCRya6QIF7ZLoVCrUFjtZFPxsmlizs3So0Ghc6IeIMMkSxkMxdWk63JxqOIGu1Vr3L7ddQ31lBVU0kmk2V+drE07VupUrL/wC429XWh/BV2t2LROPFYArVKiSSBqcxINBwjuVZtI0kSvds3Mj4yRSKeZHiwmOOi1qjYf3A3docNhVKJhMTqsoeeTZ0E/CGi4WipHLm6ppLG5joMJj1Gs4GxoUl0Oi0dXa1MTczirCjnzt599J8cZGx4kqXFVbZs20h1bRXH3jrF0MAY2WyWLds3UVHp4NSxs9Q1VDM7NU8wUNzlOHNiiN/+nU+gM2iZHJ1h34FdZDJZxoanisMY0xm27txMNBxlcGCER/7Npzh1dIDZ2QX27N/OyqKblo4GYtEkzzz5Ih/71H289uJbaDQaTCYjPb0bisdvy24GB0bYtqsXSZII+kPcec8+fv5/nyKfy2M06olGYyTdKZTKYpXi8uIq9zx4gFw2y5137eXlZ98gXyhgtVsQFSLtG5rJ5fIsLa7iWfbx1utHae9qQafT0r25k9Xl4tT1jVu6iIZjPPmzZ1EoFDQ01+L3BmjrbOH2g7sxmAz0btuIzW5lfHSaZCLJltqNVFQ7ee2lt1GpVVjtFizW4hwrSZKIhKM88+RLFAoFlhdXsVjMzM0u4nZ76exqQ6k8BQgolUrEteMyAK1Oi0anYeOWLpQqJYP9o8SicdRqFY3NdWzu68GwFoQkk0kikRgvP/8myUSyWOVU5WLr9o34/UHUahVWW3E8TLnTzv4Du3jjlaOl6rdYNE5HVwuL88uICgXZTHbt+S+h1Wmpbaguff7NQg5sZLIrpNBoL1nOLqrV68YSKNSa4hyptXJw4T0GgV6PpEv1I4Jin41s9oYqHzeXmTj0kf0M9o9gd1iJhKJYbGX09vXQtbEd9a8QcHo9fl5+7k38vgDhUITpyTlEQWDP7TuKlS3hGHtu387y/ApVNRWMDU2STCbXhizup2/HJgL+MEfePM7M1AKpZBJnhQNXpQNzmZG6xhrqGmood9hYWlghFIxQ7rBTccCB0WTCveqhrqGGikoHJ46c5tjhUxQKEmqVClEU+N7f/JANa1PGz+0UPP7Tp+nbsYlTxwYIhSJo1MWp4MtLKwycGaa1vZEHH76b559+jZa2BqpqXKwsuTl9bIBkMkVFpYO2teTfTCZDd08HBanAA5+4G6VSwc//3y/ZtquXpYUVwsEIrkoH0UiMxfllyh02spkc2UwO94oXnV6LUqmko7OFOw7tYejsOFt3bCIUDLO67KbcaUer07J3/w5SqTSRUJSW9kaMZiMqtQqjSY/NbsVoNpLNZFmYWaKqtoK77rsDUSFy8mg/Po8frV7L8uIqGwsSZ04OlnbYREEEBHweP0MD4zzyu58sBYwdXa3v/JzdvlKzPVgrSFApWV5cxbvqI5lKo9aomBybQRCLx31qtYr52UUam+vxevzrGjYKgkBbZzPZbJ4yi5revp5iQnE0XgyebGXr/lacPT1S/Npr/5YkiZWlVV55PsIdd+2hqaUBc1lxBzWXy2G2mNl/cHep0q6szITRZOSl515ncmyW5cWV0o6Owahn196tV/ym7UYhBzYy2RVSaDQodTpyyXcFN4KIymC6YPK1IAjFpoU3IOkSozHO/4gbjc1uYd+du+jt6yGXy2E0GVD9isFZPp/n6Jsn8fsCAJRZzHR0thAORxgaGOWjD99LXUN1qSR3eXGVrp4ONBoVFdVOHM5ycrkcb795jMd/8svSUQL9o1htZey9YyfLi6ts2tIFQDaXLe6yTC8wPbvE6ooHg6G4A/K7X/ptXnzmDQqSxPLiCu0bWhkaGEOr0zJydpzuzZ0MD4yiEEVymRzxWLFLsSAIKJQK8vkCKpWKgC/IYDrDbXfuorO7jUI+TyQSZX52kXQ6w+LcEvFYAs+qD4u1DAQYHZqg3GknGU9hLjOxNL9MLpdj6/ZNDJ8dJ51KF5vNiSJ+bzEPpLLGhd6o58A9+7CVW/ne3/6I3q099GzqpKmtHnOZmXQ6zdTELN5VH4/95CnSyTSbtnYTjcTQ6ordyR3OcqqqXUSjMZ5+/EWisTgNjbUsL7lp7Wyip3cDP/ju/6N7cyc1tVWsLK+SSqZQqVVotVpCoTDxWByVSkkmnUKtWf9ciIRjZDJpNDo15Q4r7rX8J4BEPIHX48ft9tGzqYOhs8X1zmYyjAxOsHtfH6vLHu6+/w5eeu6NUk8Zg1FP387NKFWKdcdCBqO+tENzvnAowtDAGBqtmqbWelaXPYSCYfKFAvlCHp1eT/emDgCWF1c5cfQM8zOL+LzF52X3pg7KnXaaWurZumMTwUCYgD+IUqWkqrqCts5mhgcnsNqttG9o+ZV+F65HN+ZfXZnsGhBEBSpjGaJaSy6ZAKmAQq1F1Go/lI7C19J7DsUUBIQbuHPxuXLXX4fP42dpLX/iHJ1Bh85QbCtQKBRKORIWa1kxEHiX5cVVnn3q5XeCmjXBQJiBU8Ns6GkjFAhjK7eysughlUpTyOdRqhTs3NtHfWMNwWCY6Yk5lhZW1qp4UjhcNmanF1CrVcRjCSRJorq2Er1RT0WNs5Rkq1AoyGXXplNLIiazkUw6g98bIBKOMj48Uepr07t9Iw6XnTMnBkmlUgiiyD0P3MHczCKV1S6C/jCrK25aO5uZGpthZnIOq93C6pIbURTXHkNieXGVjq4Wyu1WpEKB//O/fkAoGGF50c0DD93F7PQCggDPPfVKqctwS2sDnlUfBqMOp6ucnXv7UCqV5PM5VCoVr75wmEg0RiFfWPt+Cxw/fIqW1gb6dm4mFIqg02op5CQKBQlzmYnKKhdej4/2DS2oNWpi0QTZdHFXJhqNMz48ydDZsWJjQqOBppY63Ktezo1hiceKQ0IdTjuCIJJcy7kRtRoKBYloJE5dYzUKpZLbD+4ht9ZEU6ksNmxsaW28ogZ5sWi8dKSk0+tobK4jmUojFYq5Pfl8DpVahc/j5/mnXyUSijI3s0DAHwJgYW6ZA/fcxuqKB6kAeoOO3fv6SnPKziWjn+0foamlHtVN0hrixv3rJJNdA4JCgVKnLw3EvFmJKjVKnb4YwL2LUmco9ui5haXXjnYuuD1VLA8eHBgBSaKi2oW5zMTi/DLTE3MIQEt7I43NdczPLJHPFSh32HBVOlAoFMSicRbnl1mYW6JncyfuVS/9p4b5yQ/+mXQyg6uyHEEQOHtmmKnxGXbfvp2GploG+8eKJcoNtRiNJuwOK7G1/isNjTWkUhkMeh079/QxPjJVaqwnSRKCKKLRqOna2M7A6WF+/I//zPzsImq1mi3bNrIwt8RzT73MgXv2UVntIpvJolCIzEzNc/StUwAICDz82w8Uu/u6ynn1xcPs3rcNvzdALpdDed7OpcVqwWDSszC/QjaTQyGKVNVUkEymignUbh+92zai1Ra7LIdDUe685zZefvYNgv4woWCYeCxB387NGE3FjsqCIGB3WMlms6iUSvL5Ai89+zp3HNpDU0s9w4OTaLRq3KsedDotAX+QZCKFe8VLS1sjEsVclhNH+zn61klikRjVtZVYbRa8Hj/DZ8fp3ryBoD+Ez+NHr9fR0dVK16YOfvDdn5LP58lmsqXquHgsTnVtJW2dzRx982RpGrdGo17bRbExfHYMQRApd9ood9guelStUhVHPpSea4KA7ryA6Fwl3/TkHIl4kmgkWgpqoBhg958a4vaDe3jz1SM4XQ6SidQFjxMORojFE1jVN0eujRzYyGSyCwiiiMpoRlAoyScTFAr5YndmnQGFTn9D5Qt9GAwGfamD7zmJeJLpyTmSiSS19dUMD03g9wWZGJsmEo6Rz+fRajUszC8zPjpFVXUl23dtZrB/lDdeOVLsNOsqZ/PWblaXPRQKhWITtYk5MpkcqVSaU8fOYiozolarMJeZyGWyKHQKHBV2rNYyDAY9AX+Qjs4Wzpwa5MA9tzEyNMHk2AzxeIKPfPQgzW0NjA5NgCAgFQqYTAY+8VsP8MoLb5JJZzGajcWKq3CAkcFx7rhrLysrHk4e62fv7TsYPjtGOBTFYimjqqaCXDZHvlDg9PGz3HZgF+FwhEQ8wbG3TpWazkXCUTSa4syruvoqqmsqGTo7XuyinMly6CP7+eW/vLDWC0fC4/ahN+jYf3A3NruVF375aqkMvKqmgjH/FOMjU6jUKkxmIxISWo2m2JnZZECv15FOp5EkmJle5Mgbx9lxWx+pVIZwKELAH6K6prLYHyidYcuOTbz4zOuMj04zOT6DzWZhcnyGikonm/t6cK96GRua4GO/cS8qlQq/N8jf/+8fMzs5R0WVg7HhqdI8OUEQMJgM2OxWHE4bD336PrweP4VCAaPJwNz0Ak/98/OlvjYOlx2AXC6P0Wigpb2JuoYqBEHEaNZTU1fB3MzSBc9BQRBobKkHig0oAcKh6AUf53X7ERUioqggkUhSdpFdGZVKhfoGypm7HDmwkclkFyUoFKiMJpQ6PZJUKI6IEK9NB+nrjd1ho7W9iaGza7OiJAn3iodkIoneoMNiLSOZSOLzBXn1hcMYjHr0a8dUWq1mrV1+OWfPjDA6NFF6p+9e8fLC069y1313YHdY8XuDrK56iEdipaOvVCq91qtmkWw6y87b+ti8pYs3XjlKW2czDU11aPVamlrr1/rgKGlsqSceTRAORWhsruPLX/3XDJ8dJ5PJgAQBf5DlJTcbutsJBkIIokChUMy9OXl0gC3be3j1xcNotBoW5pZxVjgIBELEYwlmp+YBqKypIJNK09XdztT4LKODE7z64lts2tLFhu5iMq5KraLcaUet19Da1ohWqyEUDLM4v4x31YfNbkWtUROPJ8hms5w4coa777+DZLLYkTmTzRKLxtmwsY1UMs3S3DKb+7qZGJ2m/+Qg+XyeZCKJxVqGRqOmraOZ733nR6yseHjuyZc4dN/tuFe9nDhyhpVlN307N7Nt52bi8QT9J4doaW/E4bITDcfQ6bVYbWXE40kqKh3k8wWG+kdxVJRTUelix56t/MtPfkl9Yy3lDjvjo1Nk0hk6e9q454EDLC+uMj48xa5920rHnwOnhjh5bAAAURSLQdvTr5FMpGhqqcdWbi3OEGuqRalQEAyGqW+sQaEQyefypU7mgiDQ29ddOu5Ur02bv9iwXpVKSTyaoK2jicX5lYs+n9s6mi6a43OjkgMbmUz2ngSFAgE5oHm3rTs2kc3lmBqfJR6LEwqGcTjtbN+9hYA/SH1jDT/6/s/IZrMk1gIeKAYmK0urLMwvkc3lKLOYiURixKNxJECv1xHwh0gm1krGCxKRSAyNttifRKlSkkplCPiClJWZQRCIRmIcunc/z/3yFSLhKEqFyIF79jM+Ns3KohvPqhej2UBDUx2eVR8rS6v0bu/GvewrlaVv6eshFosTCUcp5AtIklQaoKlWq0AqJgGbTEa2bt/IKy+8STpVHMUQDITxewMcfesU+w7s4mOfvJf/G0uQy+XxewOkEims5RY0Gg06vY5ym427H7iTx370JF0b2xnsH0WlVrE4v0xzWwNGowGEYn6Se6U4J8nj9tHQWEsymSIyt0w4FKGrp31ttMAUbRta8HkCFAoFLBYzD37yHlZWPMTjCdQaNRa7hZHBMUSFkoP37KdQKNDR1Uo8Gmeof4ymtQqmY2vHawqFAo1Ww+c+/ymmxmc5c3KIyion8UQCi7WM+z56kE8/+jF+9Pc/p1CQ2LSlm8oaFw0NtYwNTqA3GQgEw2TSGdQaNalUiqGzo6Xnj8VqXusCXSxG8Hr8mMxG5mcW6T81xEc+epBoJMbQwBiuinJcFQ4y2SwajZra+moqq12lFgWt7U0szC1jMhtLicPnNDTXEY8nMJmN9PR2Mj+7fvenuraCDT1tH9avyTUhBzYymUz2KzCaDNx51166N3awuuymtqGaQkHC7wsiSQVSqXQp8fPdjfsUSiULs0s4neX43H4K+QIGox6lSoXDaSMRTxCLFmeO2cqtAKjVapQKJRZbGaFgGL1eR0t7Az6PD41Gzc9//BTpdAa9QUf3xg6OvHWCgVPDuCqdqNRK8rk8M5NzFPIFbHYLQV8IpUqJ3+sjl80zPDhBXUM12Uy2+GKsVpNOpyl32DBbzGzbtZnKmgru/8RdxUGLiTSCKBTzYjz+0mNPjE4xOjTJI7/7G6yuuAkHo8SiMVyVTuoaa5iZnGdqfJbq2kpuu2Mn0UiUkbPjpFJp8vliP5qq6gp8Hj+SVECn16LTa6mtqyKRSKLTaXGvetc6bAs0Nddx9PApZibnMZj0OCsctHc288oLb7Hntm20tDaCAFPjs4SDEZLJFItzS6RSado6mwkGQ1RUOYhEokyOzaBUFoP4VCqDq9LB6y+9DQJEwsXy9VQyzWrSw4/+/ud86tGP8+jnP0U0EkMUREaHJ3ji58+SWvu52x02urrbaGiuK86uiqdIJVLFozm1msnRaVQaNSpVMecpHI4QCIQAcK940Op1pFNpVle8pFJpPvYbH0Gvv3DuXX1jLc1tDWQzWYwmQ+m5Y7WV0bGhOHpiU+8G2ja0sLywwvzcMpJUoLq2kurayl+56/b1Sg5sbgGFfA6pICGK4jUbRimT3YxEUaSiyollbVZQOBRFoRBBUBKNxKmqrSQciqLRqktzkpBAo9VgsVlYmFukzFqGrdxaTORdq1bJZnPFTsK5PO0dzZw40l/MGSkU0Oq0xCIxyp02LNYyopEY2UyWVLq4i5NKpdEb9SzMLSMqRHxePzV1VQR8Qax2C0ODYxy4ay8rSx6y2SwVlQ4qql1MT84xOjSB1WbB7wtitZVRV19NZXUFza319O3YxIkj/aSSKZYX3cVjj7xEMplCpVKiVCqxO2zo9To+9cjHCAZCNLU0kEqkyBXyJOLJUrM8gKWFFfbduZPRoSh2h41IOIJSpSSZSLIwt4TDacfhcrDrtm1otGoGzxSb2On0OlRKJXqDjpbWJg6/fpxNvV3o9FoUSgUNjTWMDk7iWfGSTmcIBsIkUykcLjvxWAJTzoDTVY7FWobVVkYikUQhKnjhmVdRiCI6vQ6/N4BCoaC1o4mjb56kzGqmospZnJ6uVhXXO5VmcmyalrYGstkczz758gUJ5SqlkmOHT1NR7UKrLZaDjw5PkM3mMFtMhEIRlEoFVru1+LMMv9MUM5POoje+06k8FIzg9wbQ11df8DzU6bXsu2MXDY21DJ0dY2XJjclswFxmJp/Lc8ehvbS0N6BUKmlqbaDpXTOjbjbXXWCzuLjIN7/5TU6cOIEkSWzdupU//dM/pba2OHV3ZmaG//Sf/hMDAwMYDAY+85nP8Hu/93vX+KqvT4VcjlwiTi6VAEkqJn/qDSi0+gt6rshksl+NJBWPimrqqtBq/eTz+dKRUnNrA3PTi1RUOgkGQgQDxUGPNruFO+/aW9ypSF5YpdLYXIdKrSYaDaKvreL2g7sY7B9ldnqBQj7P1h0bsdgsTI3P0tzWwMrSO6XnZRYz0bX5VUaTkWAghFKpQG/Q417xksvlEAQBi83M3MwiJ472U1NXRWNzPc4KB2dODNK7rQf3ipeAP8SOvX08/4vXCIfCbN+zlWp7BV0b2+k/OUgul0eSJAqSxF333c74yBRdG9t57MdP0thUR11jDc8++RJtnc2Ia2+qspkssViCTCrNmROD5AsF9h3YxfO/fBWF4p3+LgVJIpfN0tbeQnVtJVJewuP2o9GqUSoUWGxmrHYzPl8QnzdAMpkil8sT6Gmjqa2B4aFx5mYWuP3QHp74+TMszocos5ipa6ghFIxQ31TL228cZ3FhhU8/+hDpdJZouBiYmi1m0ql0KdARxeJw0mgkTk1dZalhXyQcQxBEErHEO0GNJJHNFsuwyywmfL4AHrcXm81CmaXYtRiKA0+bWhsIh8JkMpniUeN5k7mdleVEI+u7f18sh+YcnV5L+4aWUj+aWDRGJpvDaNCj1txaVYzXXWDzpS99ie7ubl5++WUkSeIb3/gGX/ziF3nqqafIZrP83u/9HocOHeK73/0uk5OTfOELX6C+vp577733Wl/6dUXK58lEQuuGMRZyOTKRMKp8AZXJfA2vTia7OSSTKU4e7ef1l95manyGaCSGRqdl646NZFIZauur+dwXPsWrLxwmGomhVClpaKqlZ3MnPo+fPbdvx+suVszEonEW5pZQqVW0d7ag1qhobWtgbm4Jj9tHLpdn196taLRaXBXlPP7TZ9i0ZQMKUcRisxR3gjRqDEY9okIku5aPYS+3IooiyUSSeCyB1W6ho6uNJ372DGPDkxgMeiLhKNFonMoqF5/4zfuZm13EVelEqRTpPzlIKFQsqz59fIDbD+5Gr9dz1313oNVpKLOW4ff4mJ6Ypa2jGavVQjgQ4UxgsPgiKwhks3k0CgWxtSRovzeAVqehurYSr8ePTq+lZ3MnJ4+cIRqNAxINzXXc97FDtHY2IkkS9nIrYyNTeJa9FJBYmFsgHIrxid+8n//z7R+i1WpwVpQjKhSkU1n2H9jNxOg05jIzH/3EPczOLKBUKNi8tRu9Uc8brxxhZcmDy+VApVLStbGdoYFRAr4g+Vweu8OK1W4hn88jCALLi6sU8gWaW+qJk0CpVFBR6UCr09DQXE/F4ASrazk9BoMBo8nAzNQ8DqedZJYjjcgAAE6hSURBVCLFStKDKIhs7uthenym9HMcODWEyWxkdmoBh9NGOl183mg0asKFdwIZo8mAzW654uem0fTr92u6UV1XgU04HKa8vJw/+IM/QK8vRu2PPvooH/3oRwmHwwwNDeHxePjKV76CWq1mw4YNPPLII/zoRz+SA5t3yWfTl5wwnU3EELW6G2rWj0z2XpTKtRb3a0GCw1VOZZXzQ3+nOtw/xuHXjjE1MUtBkjCYDOTzefpPDHLoI7eTy+cREDAY9dxx920IsJZ3I6BQKDhzapBQMELAF6TcYePAPfvQ6bTF7rntjbR3tXL65CBNLQ20dbQwOTFDMBCizGrmX3/xtxgbmUKpVlFZ5sRiK6OptZ6ZyTlq6qowl5mIhmO4Ksopd9pRqYqzjvQGPdFIjOGzY0gFiXyhgM8TQBCLQUxjcy1ms5EXnn6NVDKFUqmkssZFKBgmmSzme4hKkdUVD3UN1Rx540RxR0ZUsLLsYWxkiq6NHcUdoeklbHYLyrWxDiNDE8UeMN2tBP3F3avqmgqGB4s7V4fuu51CoYBCoSQej6PWqJidnmf4bHHG1uT4LHPTC+SyWUSFAvfKGFXVTj7/+48yPT5NRXUFldUuzGVmQqEwDU21aLRqFuaXueu+O/B5/Jw+OYgoivRs3kBLWyNd3W2srvqoa6hhdcmN01VONpMlGolx7PAp6htrSoGNUqkglS5WaOVyOSLhKK++eBi9Xkf7hhZMZQaW5lfJZnOlPBe/P0Q4GEFv0BMIhLDZrXR8vIWn/+VFrDYLD//W/Zw6Plha666eNto3tOL1+EvPM0EQ6N3afUsHK+/HVQ9sUqkUbrf7ovc5HA6+973vrbvtueeeo7q6mrKyMiYmJmhsbFw316WlpYX//b//9/u+jos11/qwnXvMq/HY+XTm0tuWkkQhm4EP+ThKyucp5LJI+TyCKCKq1JfM8bmaa3OjuVXWJp/PE/CHkAoSZRYTGq3mij4vlUozNTbPm4sn4bxeIs1tDezet71UjfRBi8XinO0fJhyKUDjvZ6NY+73yeQM4XOVks1l0a3kxarUas9lEVY2Ln/7gX1haXEWv16NSKVlaXOX5X77KRx++GwGJ1o4mYrE42UyWbCaLKAq0tTchKgQy6SyeVW+xlLqnDUEQ6Ohu45knXqKmrorF+WXuOLSHk8cGUKmUpeMfi9XMoY/sZ2J0GhDI53MUCgUEAVRKBflCAfeKD4NJTzyWKDbXU6mYm17EZDZgtVswmY1UVrmobahhaX6Jjg2tvPrCm8XAZXAMo9HI4vwym7Z0Yy+30r2pA6+7WIlVWeUkHIry4tOvodFqcK96USoVVFdXIBr1LM0vU11bSSGfo7LaRTqV4fTxs/i8AaSCxPjwBDNTC+j0WkxmI2aLiUQiRSaTpW1DK6tLbp77xauEAiFa2huprHaRy+Zobmvk6SdeYHp8rnT0d+LIGW4/tBtBKTI9MUsimWTDxnZGBseZn1sil81RXm7lIx89yNzsEoNnRih32IlH45jKTLR3NDM9NUdVdQXZbJZXnn+TlrYGVGolifg7jS27N3YwOTbN5m0bQZKIRYrPl0goQiQUQafX0rmhhdqGKnR6XenoKxaNkc3msFjL6N7cSVNL/VX7G3C9/s250uu56oFNf38/jz766EXv+/a3v83BgwdL//7xj3/M97//fb7zne8AEI/H0enW/5HS6XQkEhd2R72cs2fPvu/P+aB82I8tiiIOs5F0JHzJj1Gn0njWsu8/aIIgUG6xICVj5DKZ0u0KlQqF0YQ3ELpk0HUtfy7Xu5t1bURRJJvO039yiKWFFQqFAuUOO5u2dlFmM172j1k0lOD08YELbl9ZWSEv5aiscVAoFC7ymb8eqSCwsLBIOBwhFo+Xgqpz5mbn0eqUlFmtpNLFv1G5ZAaL3cjJo/0szi+DIKDWqIjHE2TSGQL+IKMjUxy4ew9evxupIBAOh0rVVcvL6/uQ6E06QpFi8KQ1KPjkI/cTDkaIhhNoNCr27t/B0cMnkRBoaK7DveLlxWdep1Ao0NLWwPLSKulUmtr6atwrXvR6HZJAsXmfJFHIF9Boi6XKnlUffl+Q3Xv7+OH3H+PA3bfhcJUzenyA8dFpEITiEYzZQDyW4PSJAT7xm/cjCNC7rYdEMk0sHGVoYJRypx2H047PF2B1KUQ2k+Xh336QwTMjvP3mCQxGQ7H/SjzJb/3OQ1RUO3nj5SOIChGFUiTgDyIIEIsWZ15NT85SKEjMTMwS8IfI54u7KU1t9ezdv4MXn3mVRCxJJBIt/ZzsDhsrSx6GzoyBUBw22dBcy9YdG9m8tZtQsNjl+KXn3mDH7l5+98ufQaFUohBF3Cte5uYW0Gg0eDxeNBo1rioHoyOT9GzuYGlhGYNRz8beLgSxwMjwGK0bmhBVAp4VL8ZUilismD8Ti8VIJJKks2kKa0Nz737gAJW1GygUCihVShKpCIODV//3/0b9m3PVA5sdO3YwNjb2nh+TyWT4i7/4C55++mn+7u/+jp07dwKg1+tJvmsAYTKZxGAwXOzLvKeenh4UV7lCKJ/Pc/bs2avy2IVMmsxFygKh2FVWbS2nqq7hQ3lsqVAgE/Qj6S48BhBEkcru7gt2bq7m2txobva18bh9PP6TpwkEgqiUanR6HQpRyXD/BHfefRst7Y2X/Nx8Ps8Tjz0LgNPlQnxXR2S/O8S+2/eg019+Ls/7EY8nmJmcIxZOFo9zcgV0Om2x38sal8uJwWCke1Mnfk+gFMzX19dz5PVTqNRqFAoFCoUCnU6HyVTsKOz3BmhsbsRkLv5dC/uLx0bvJggCu/YWRyoA5LI5hs+OMzwwycmjZ8hms8UjrM4mfvJP/4Jao2ZqfAZXpYuezR288vybdHS1Eo3EqKmrJpFIkc/mcDhsqNQqVColZZZiVY0oiOgNepQqJc5KFxqtBlGhIBqJEQlFKbOYi3OHtBpy2RzmMhNqtYpsJkdrexOpVAajQc/k6DS2cit+b4CFuWWqayqw2MqIRKIszi3h9fjQG/QEAyFAwOG08cbLR9izfwfLC6uEw1FMZgMGg558voDBoEOr1+Jz+2hua2IyX8DhtCOKIkqlgkgwikarJRKOYTQZ2di7gWQihVarRaVWcuTNkwA4nHa0Wg0njvTj8wTI5/OlUQb3ffRQcQTE3DKhQIjq2uIxX2W+AoPJgMlsoJCXyGQyNDTV0tbZQnNrEyARi8RJJJJUVFTgcjl5+FMP8uZrx0gmkhiNRhAEjEY9dQ01pZ1FURRpaKijstr1gT5n34/r9W/Oueu6nOsqxwYgEAjwb//tvyWTyfCzn/2sVA0F0NrayuzsbHF7dK0x0eTkJK2trZf6cpd07g/KtXA1HlvUaJEMRnKJ+AX3qU1lKNUfXu5BLpuBQv7ibfclCXI5FJd4/Gv5c7ne3Yxrk8vlOPrmSc6cPFuqFlGpVFRVu3C47AycHqahuQ7NJXJlstksyUTxzY4oCBdU+6UzWbLZLEbF+3/zcynxeIJXn3+L2ZkFrPYygv4Q6VSGRCKJzWZBo9UUZzQ112G1W2hpayQSinLm5GCxpFshoFKpyOcLaLQaIuF32uArlQpEUUShEEs/6y3bNxKJxlg6r2usQqFg6/aNa11pix83MjhB/+kh4rF4adRDOBTh+JF+1GoVy4urtHe2UCgUd2JclQ5CwQhOlx33qofqmgrSqTS9fT0sLaywZftGxoangGIQpdNrueOuvSTicVraGlGpVNTWVzM1MUtdYw1mi4lMKkM0GiMeT6DRWFCr1fi8QV554S00GjXDg+PEo3GUKiW5bJb52UW6N3fS3tnCiaP9xfJsfzEPRZIKLC2sMjI4gc1mZdOWLtyrXiKRGKFAGJVaSTaXw6hUojHoSKVSaLTq0sT2c/ObzgVLq8tu4mvVS2q1GrVahd1hJZPOMjE2TVdPO3aHjcmxaZrbG8mms/Tt2Mz83BLPPPkSBqN+ba7VMkqVkp5NHXg9AR7/f78slqHrNNQ31eH3BYu9jVa8pVlc5eU2nBUOtFoN933sIEvzK/i9QWLRGEaToVQxBlDXWIOr0nld/K7fqH9zrqvAJpvN8ru/+7tYrVa+/e1vo9Wuf5e1Y8cOrFYr3/rWt/jDP/xDZmZm+MEPfsAf/dEfXaMrvn6dm/UjKtXkUgmkfB5RpUKp1SNqrix34Vd2mW1/Sbq+zm1l187czBLHj5wpBTVQ/Dswv1YdpFSpiEaiaBz2i36+Wq3GYrv04D6jQf+B79ZMjs7w6otvEQpG6OxuQ6PT4HDZ8XsDRCMxdAYdu/b24XSVs2X7RjQaNX07N1NZ5WJmeg6FQsm23b24V72lsuFzcrk8rW2NaLTvBHJlFjN333c7y4tu/N4AKrUSV6UTV4UDcS2Qc694GBoYLfVf2dzXzcLcMkgS01PzmIwGzObisV4kEkO1rGDbrs343AE8bj+rK27uvOs2qteSjhcXVuje2En7hlZCgRAKpYJEPIUoigydHcdV4eC+jx/EvewjEU8xMjiO0WhAo9PQ3NaISqXEZDbS0t6IzxNgdHCcju42XBXlTISiCELxjY8kSYSDEfbevoOJseliEGoykE6nScSTxKJx8rkcao0KrU7LyNAEoiiysXcDBoOO/lNDKBQi7Rta8az60Ov1ZLNZUsl0sdw5k0Wv0+Hz+gkFI2g0arLZ3FojQD8Wq5mmljreev04x46cRqfT0rN5A1t3bMJmszAxPs2TP3u22M3YaqayyoVSpWDk7Dh1DbWcPN5fShJOJFKsLLmx2iycPTNKS3tD8TG1Gnbe1od2LWdMpVLR0FzHJ37rft589dhaI0IJUSFSX1/Drn19qFTX1UvzDee6Wr1XXnmFoaEhNBoNu3btWnffL3/5S6qqqvj+97/P17/+dfbs2YNer+eRRx7hoYceukZXfH0TRBGlXo9Cp4O1dw5XxWUeR543JINiADM1Pl16h30+SSoOQnSsle9eiiiKdHa3cfLY6Yve37Wp44I3SL+uo4dPlQYyDp8do6Gpltb2JvL5AnaHlc6uVqprK0sTu6E4r6ehuZaG5uIOtEIpMnx2vDiM8jzdmzqpqq0k4A+h1WpLuST2cjtNLfU0rQ09PN/KspsnHnuWk0f7yRfy5HN5goEQ23dvIZlIolIq8Hn91DXUEAyEUCgUjAxNMDYyRUtrIxt7N1DusBJa+xyP28uuvX0UCgUGTg8TjcYoFCQ6u1rJZLPY7Bb2HdjNyuIq//t//SMbe7tZWlgmncmyZccmJEkimUhRyBfIZbOo1CqSyXRxKOZ9+1laWCWdTqPVaVAqlVjtluI8q+a6Ukn8xOgUuVyxSeFd991ePCLy+imzmEklU8zNLNDR1UJbZwvVtRWMjUzh8wSw2suYGJkmFAojCCIGow4JaGypx+cJkEwVO/+qNWoEQUChVOB0laPTacmkM/h9Qfy+IA6XvZTj09RajyRJOJx2spks8VgShVKJd9WLSvnOS6ggCKg1arRaNfFYHIernJb2Rhqa6nC6yi/4uVVWuXjwE3fjWfWSSqaLXZNd5aXTCNmv7rpawbvuuuuy+Tf19fUXVE7J3psgCKXhaVeDQqVGVKoo5LIX3CcqlIgf4jGY7MZRfIfrobmtgbmZhQvuTyVTVNdUYLVeekcGoL6xhj37dzA/s0Qmc+44S0n3pk7aO5s/0GuORqL4ff51t81OLzA7vYBWq8G8Uqw6qqx67/yITDrD7Yf20t7ZwuL8EoIgUNtQTVVNJcFgmPGRKabGZ0tJw3qDjm07N9PZ3VbapYFicPjqC28xP7tILpdDrVZh0BfzT9545Qi3H9xDS3sjA6eHiUXjSAWJoD9ILpdHqSgee5w63k8sEsdsMZFMprjz7n0AeFZ99PRuYNdt2zCa9KRTadQaDa5KB8FAiCceewaDwcDM1Bx3338nZouJ537xMvFYgpa2RlKpFM889TI1tZVs2d7Di8+8zvG3T3PoI/s5c2KQbC5HOpnGWVFObX01wUCI0aEJTGYjkXAMtVpFdV0V87NL5HI5opEYwUCYHbt7CfhDxCIJnFvKOfLWKTZ0t7E4v8zCbAyrvThXqlAo0NzWwOqym0I+z97bd9B/agilQolaraKppYG6hmqWllYJh97peqzVaWloqsXvD+BeduNe8aJcyzdCgnQ6vTbZPYNSqSzlI2l1WrQaNYIoUt9URVNLPc2X6fB7bu6T7IN1XQU2spuDoFCgNluKDQLPC25EpRKV2YKokJ92MtCoVZQ7bAiiSNfGdmam5kEq9nmRJAmHy05vX8/Fc7XOo1AocFbZ2NK3Cb8/hFQo7pyUO+yX/dz3K5lMU1ldwfjI9AX3pVJpXHotFsvlm1+azSamJ+dxVpRTWeNCALLZHD6PD5PZxIkjZ9Dq3tlpSsSTvPHKUXR6HfWNNSwtrLIwv0guk+MXj7+AuDYI89x4g4amOqRCgWQ8iSgI3HFwLwsLy/jcfjKZLK5KBzt2b8FqszIyNE6+UECn14EE8zOLnD7xTs6TIAjU1FWy785dGIx6xoenGOwf4ehbJwkGQhiMxREFy2vdj8ssZoKBEOWOYmO60eFJ7r7/Dl5/6QgLc8tEwjG6N3ZQUePCaNDR2tGM3qinoakWV6WDZCK11hRPTWt7E/MziwQCwbWEYMhksszNLlJmMXP2zAgms5GZ6Xm27tjE8sIqIGC9zUpLawO28jIC/giRyTki4Ri927qx2a1k0hlmpuZ545UjPPDQ3RhNBtQaFQ1NtWzs7aQgSfg9QRxrOy2VVU4ymSxKZTHRe2F2CavdQsAfwmg0IEkS+VwOlaaYu6NQKD60NgOyy5NfYWQfClGtRmO1k19LJGatj40c1MjOcbt9DA+NMzwwRmNLPU2tDfi9ARqa67A7bGzZ3kNVTcUVfa18Po/VbqHcefFcnA+KTqfFXm6l3GG7YIqyQiGyc8/WYoBwGfVNtfSfGipWEp3HaitjecldCmqKSckJkECr1zI8MEo0GuPt149jd9jweQIYjHosVjMNmlrGhicJh6LMzy5S11ADgkBNfTUNjbU0t9UTDEbYc/sOPG4fU2MzDA2M0t7ZgiAKWG1lZDIZfvJPj5NKprGXFzvvqjVqFuaWOXV0gPqmGgbOjKBQiphNRsLBCEF/cWTD1Ngs2VyWcDCCrdyKWq1mbmYRSZLo7G7jd37v0zz71Mt43D5SqTQCEI+neP7pV7j/oXtQqYuBRX1jLVW1FYiCSE/vBo6/fYrU2niDgiRRKBSwWsvIZnNks1n0eh3JTJY3XzlKbUM123duZnR4kpGhcRbnV7jzrttIJpJ43H5WFldpam0kHo8TCUXZ3NcFSNx+aA/ZTJZkIkU4HEMQReoaaohGY/Ru20g4GCadzqBSKkvrUltfw9hI8chMFAXKLGUYjHpMZiP1jdUXPX66lEKhQCqZRqUq7gDJfj3yq4zsQyMoFCgV8rsW2YVCwQivPv8WapUKq62Mmck5FAoRW7kNtUZF+4Zm2to/2GOkD4LJbKSiwsGufduYmZxnenKWbCaHs7KcjZs30NnddkVfp9xh48C9+3j7teOlac4qlZL6xhoioQi5fAGfx8/S4mopwVipVJJJpSkAhYKEci1Bt5AvMHBqGINBz8atxRfqU8cG0GjV7LtzJ7F4jKnxadQaDTV1VTzz5EvFfJy1/kCry176dm7CYqsnHI6STmfIF/IsLqyg1WuprHah1WrIZDO8/eZxhvrHMJgM3P3RA8xMzvPWq0cQRIGCVCARL1YduSod+L0ByiwmYtE4wwNjVFe7aGpt4IFP3E0sEufl598ACZrbG5kamyGdTlPXWMvMzAJVNRU8/4tXyeWytHW2MDE6hUaroba+GlEUiUZiGIwGqmurWJxbQqkqHi+FgxEyuRyL88uEw1HaN7Rw+PWjtHW2MD4yRTqdYXXFQ09vF1q9li3bN2K323n5hTcIBSJk0mkEQUBv0LNz71b2HdhFRaWLwYERQoEwPm+AQqHAZ37nYeKJBHv2b2fg1BA+bwCdTktDYy2tHU3s3Nt3RdVEkiQxN7PA8NlxfJ4Aao2Kjq4WWtubMRhvronbV5Mc2MhksqtueWmVeDyx9i69DrsjRixSrC6JxxJUVjmv2638DZs6iEbjuCod1DVUIwgCggBtnc3U1ldd8depb6jBVVGOZ9VPNpPFVGbEaNQzNTHHwtwSc7OLSOfNCsrlcnjcfnoQ0GjV5DI5fv5/nyqVjEfCUUKhMJ1dbWzdsRm9Tsvmvm6Wl5fo3bqJZCLFW68epVAo0L2pg1gsXmrCd+bkIFu3b2Jl2c3Kkht7uZW+nZsZODXEyNlxLFYT6VSWju5iWXY8FsdcZmbP/u3FROJlN5XVxbEL9Y01pQnlgiBgtpjo2bIBBIEDd9/G/Owix94+RUWVC1elA7PZSDKVwmDQMzk6RX1zHRaLmc994dP0nzxLZ3cr4VAEh9Ne2uEyGPW0djTS1FKH3qDDYNAx2D+Kw2lHISqwO2ylaeLDgxOo1BruOLSHTKbYuO9cUq9EnpPH+teOsN6RzWTweQNk0lm2bO/BYjNz4sgZzGUmClKBV18+TEtrA1U1lRy4+zbMFjPJRBKNVsO2XZuxXCYv7JyxkSlee/HwO00oY3D49RMsL7q58669644jZVdODmxkMtlVF4u+M7VYqVJitVmw2iyl29KpzEU+6/pgMOjZf3A37lUvQX+xyshZUY7Nbn3fX0ur1VLXsD55tL2zmdPHBtYFNee0tDVw/O0z7LhtC4dfO0YikUSlVlLXUM3qsgckmByfYcv2jWzf3YvVZmFufpaaukoCviC5fJ7KaheeFS8KhYJIJFoMdDZ2MjM1h9FkIhFPsveOHbz4zGsk4kmcLjtTE3MEA2EWFpbZuXcrLz7zOpFwlCNvneQjDxzE2KbHaregUCiIxWIEfEGguCNhNBpQiAKCIFBR7eL422do72xBb9SXcqAK+QKFQoFwKMqJt0+TzeXJpNJo9TqclS4e+dcP89pLb6NUKbDZrDS3NaBSq/jnn/wSlUpJRZWLvXfsQK/XMT+7hEqppL2rOOrBbreSy+V487VjAGg0GpKpNBZrGUazjpnJuQvW2VZuQxRFxkem2Hv7dg6/cZzRs+OlIox0Ks0zI9Olx2zV61hZ9pS+l3s/euCyOzaJeIITR85ctLP27PQCC/MrtL5Hc0rZpcmBjUwmu+qMxvdumKe/gjyVa0mhUFBVXUFV9ZXlAF3Mue6279bS1khVbbE66hxBEOje3FksM/b6kQoQ8Icos5gJh4r9WWrqqzGZDCiUCkC6oGOzBEhIlFnMGIx6EvEkAX+QVDLNYP8I4XAVu/b2YbGZ6T85VBzcaNQhCAKJeBKdXkskFC1OxK5w4F71EvAF8fn9VFQ66expIxgIc/JoP9FI7J3Ko8Zazp4epvszG3BVlGMrt6zrWwQQjcQ4feIsO/dsJZfLM3x2jJq6KiwWE9FwpFj51NPO3Q/ciVKp4I2Xj6DX69jc100um0etVuFZ9bFjz1ZCwQhejw+1SklZmRmLzczqshdRFCkUCqTTGcrKTOh0WlQqFbnc+msxGvWlKdqZTIblJTfJeHJdZanRZKBrYzurK15MJiMa7SIVVU6ia9PLfR4/rkrne/78fb7AuuaM77Ywt3jDBDaSJOHzBohGosXu1C5HqW/PtSAHNjKZ7KqrqqlAb9CRiCcvuM/hLMdV9d4vCjeqQqHAwuxSse+KN4DZbKS9q4WGxtpS0qjZYqJ7Uwd1DdV43X5EUaDcaSeTyeBZ9WGxmIpTwhOptV45IsFAmEQsgVqtxKQxUVHlQqvVrtsNsFrLcDrtrK54USqL+TnuFS8TY9NkMlnqG2o4/PoxDtx1G48/9gzhUASjyVAc+aDXkcvlEARYXlihrrEGr7dY9p7P5tHqtFS4nDQ01WKzW9DqtGRSGZaXVxkdGsdmt9C2oQlzmRmnq5ylxfVHP35fAJVSid6gQ6PRcOCe20gl0zz1z8+RSWcos5jpPzmI0WQsBhTLHmzlVmx2C7FcnESiOLDTs+rloU/dh9fjZ2RwnInxmVLH5nNddDUaNa6Kchpa6jCW6eiZ28Do4ASCKBQTg9e6RwM0NNYS8IfW9ZYxlxmxl9t49qmXyeeLM7dCoTD9J4fYf3AXhXyh1Pn5PV1iRnHp7ovs2F2PEvEkJ4/1Mzo8WcoHKy+3sWtf3zUrZZcDG5lMdtVZrGXceWgvr750uNS5FcBebmXfnTuu6bu9D9PQwBhvvX6MQr7YnTsUDLMwv0xvXzfbdvWiUChQKpXU1lfx2ktvo9FpQJLweopBhEar4dBHbkehVFBbX4XfG6Sy2kVDUx06vRaNRo3BaKC148LEa5VaxeZtG3nx6dfWghQBKObYNDTWkS8U8Lj9jI9NU1VTgclkwOEqx2ItI5lM4V71IklgKjOi0qhQKhQgCDgrHbS2NxIKhVleWiUaiTE6NEEum6ehqZade7ayfc9W6huLzQk3be3G7faRyxZH45RZjOgNOnweP+4VD4KooGNDCy8+8zpWm4V0Ks3M1DyCIKBSKzn8xnEO3H0b4yNTjI1Mkkll0Om1aLVastkcvX091DfWABI7dm/hn+d/WVoDnU5L18YOnBXlNDXXsbSyyN333YFKpUIqFNbtyuj1OprbG5mdnsdoNqDRakin0tQ31vL8L18lny+gVCpQqlSIgkgul+PIGyc5+JH9GAyXT/y12S0YTYZ1z38oBmBlVhOuSiehYPiK83WuldMnznL2zMi623y+AC888xoPfuIeyh22q35NcmAjk8muibrGGj72yY+wuuwmmUxhNBmorHZd98dQv6pgIMzxt0+XgppzJEmi/9QwdY01paOtptYGPKs+RocnS8MzAerqq9m0pYulxWV6Nnfx3C9eQpIKWGwWbDYLokKkoamW2rrKi15DU3Mdd99/O4NnRnG7vTgrHJjLTFhtFobPjqMz6JiemKOptYFQoHjU5awoJxqJEgpFSKcyVFa7GDg9jCRJbNm2EaVSid8b5I2X3wYEXn/1CNLaPKpEPIEoClTXVtKxoaU4Q6uplrs/cgdTk7OsLK6SSWd49YXDmMzFfjDxWIJcNksqmUKj1RCPJbCX2xBEAaPRgN8XJJ/LMzM1Ty6XR6/X4vX40Wo1OCvK+cXjL3Dvg3dS31jLw795P9W1lRx761Spa3J9Uy079/ZR7rSzuLxAU2s9CAL9JwZL/XIqqyvYun0jTlc5UqFA/6lhGhprmJleIF8olHavKqpclFlMRMLFnLF4PIHJaMBWfvl8K6PJyJZtPbz56lEKa7sz56aaT43N4nMH0Bl0NDXVsWlr1xV9zast4Ate0D37nFQyzdzMghzYyGSyW4u5zIi5zHitL+Oq8HqK/VsuJp/P417xlgIbnU7Lntu309RSz/LSKvl8gcpqF66Kck4c6Wd4cBytTsM9Dx5gamIW76ofi8XM3ju209re/J7VNPWNtdTUVRGLJYiEorz9xnFmpuZxOG00tzVQVVOBwaAlm84Q8AVRqpRUVrlIpzJkMhkEQUSSJLbu2ExHVwu19VWcPjGIRqPmrdeOkU1nqax2sf/ALlLJNMFgmOnJearOjtPe1YJCocBg0rO8uIokSZw+OUQynmBlaRVzmQlXpQNJkliYW6azu5VcLlfqDZTNZjGbTSAIhIMRFEoFep0WpVJBLBqnvrGGI2+ewGovI5PO0tzWwP0fv4s9+3cUuwsrFThc5Wg06tIxnSiKtHc2U99YQzgUQaFQYLWVlfKfXJVO7ji4mzdfO4ZWp0Wj1WC1WWhsrsdmt5RKwEWFiN1uxf4+Xsg7u9vQaDSc7R8hFkugVikZPDOC3WFDVIikU2lGhifweHzc++DB6+53JRaLk05fOtHf+64+TVeLHNjIZDLZVZDPvffw13ff73X7mZ9bJBgIU1ZmRqlQEPCHGB0uvkNOJdOkkmmqqitoaKxFVCqprau+ov4nCoWCsjITq0tuhgdGmZqcI5vJUmYxM9Q/wrbdW+jsaUOlUjI7vUgul+eOu/YiCiLZXJZtuzYTCkYYGZwgFo2vTeS2kElnqKmr4rY7dvDYD59kdbWYtKvVajh59Ayf/fyn2LFnK4P9I0TCUcodNoL+EBqdBk1STSQcxWI1o1IpUSoVpNMZLNay0otnIp5EoRQpd9jQ6XXsuq0PgEg4SntXC2qNBr1RTyqZ5vAbx3FVOjCaDFhtZSiVCmanF9ZmahVobKpb1zBUq9WgrXBcdL1a2ptwVjhYXfEQCRVL6w0GHYWChMVqLk1qN5kNOCuuvDGfQqGgtaOJhuZaAt4gTz3+PFW1F+62+X1BFuaW6NrYfsVf+2pQqVWlpOyLuVa9eOTARiaTya4Cm92KUqkgd5EARxAEHOd1TR4dmuT1l98uVewsssLYyCS1ddXk84V1oyKikXdK532+4BXvGAT8Qd587Rh2hx0EgaA/RDQWJ+APMTwwxv6Du4mEo7R1NrO8uEosFufkkTPE35XwXe6woVKr0Oo0gMD2Xb288MvXcK+9WxcEEMXi13/q58/hqnQyM1WcDZZfO5ZTKBQ0tzUiigLJRIpEPMUdd+1lZcmNwWgozRLLZnPUN9ViKjPy2S98itdeeItQKIpapWRseJIyi5kD9+5Dp9fiWfXhcfswmgxEQhFefPYNVlc8peteWVwlV8hSU1uD4xLT489nLjNhLjORSWcIhyME/WHy+TyiwkUulyccDNPa3vS+AptzVCoV6WzmPZOOFxdWrrvAxuG0U1ntYmlh5YL7BEEo5VVdbVdp3LNMJpPd2hwu+yU7E9c31FBRXRycGQlFOPLWiQvKkJOJNDPT80xPzDJydpyVJTeptSGZJdKVV9KsLHtIp9LFCdcVDuobaxEQKHfYS0dmuVyeUDBMwBdgYnSa5ouUH0ejMVrbm8hmc+j0WlKpFKPDE+RzeURBQKVSoVwbFeDzBpgan0WhKL70qNRKKqtdbO7rRgB8Hj86vZYyq4lcNs/Be/fR0l5PQ1MtldUV3HnXXtKpNF6Pn5eeeYOVZQ/uZQ/TU/OEQhGSydRa9VSxncC5Kp3x0elSUGMyGyl32nA47cWjnoHxK14zKAZXUkFi4MwwLz77Os8++TLjw1Ns3trNrtv6fuXp3KLw3i/HKuXlOxlfbUqlkp17tlJWZlp3uyiK9O3cdMUjUT7w67omjyqTyWTXWCadwb3qJRFPojfocFU4UGs+vMnz5/7Y6w06hs+Ok4gnUWvUtHU0sbF3A5q1x3av+i4og0+n0kxPztHS1kginiSdzhCLxfF7AzS1NqA36FCrVe8rvyP97nwfoZjrE4vGSKXSuFc8BPxhrLYyTGYT8USCpuZ6/N4AS+d16m1oKr4rz+XzbN+9hVQqU9qJEQQBjUaNyWxEpVaRzxdIJlM4K8qJRePFCdytDfzkn/6FeKxYHbSy5GFyfIb7Pn4XqVSGHbv7+MhHDxGPFRva6Y16lEoFeqMOVVBJdi0A1GjUmMuMaLQawsFiPk2ZxUwmnWF8dBq1WoXVbmFiZIrFhRVEQcBZWU44FCEWjZeCocs5dXyA8dFpKiqdWCxl5HM5lColo8OTxYGeV1ARdTHlTht2uxW/P3jR+6/V7sfluCodPPDQXSzMr+Bxe9HptNTUVVNZ7byisRIfBjmwkclktxyvx8+brxxhdcWLJEkIgoCzopzb7tj5voYXvl86nY6t2zfRsaGVRKIY2Lz73e67d2qgmGMRi8ZZWXLTtamDU8cHSpPQvW4f9U21bNzS9b4qUN79uPl8nkw6QzQaR1SIgMD87CKxWBydTkOZpYyBM8OYTCbuONTM+MgUBUmirqGGqfFZWtubMBp0RMJxnBXlJOKJtXJuM+ayYu+dfD6PSqVAAJYWVyizmOg/PYSropylheIYBp1Bh9FkYHZqHpvNwpmTgzz48D3Y7Fa8Hj+jg5MgSvg9gWI1WLkN5do07XMN+JRKJfWNtYSCYSQklEoFVpuFF595/Z1dLkliZXmVUCDCpi1dVxTY+L0BxoYnS/8uHr8VWxMk4kkW5hax/4rVS1qtlm17tvDSs6+XdprOaetsovoSlW7XA7PFTJfFTBfXx1GZHNjIZLJbSiqZ4tUXDuP1vFOxIUkS7hUvr77wFg88dDc6/Yc7o8dg1F8ysdKyVpFzrmqnkM+XRhS4V73sP7ibsjITI0OTxGNxjGYDe2/fTmfXlQ3gPKey2kW5w47P6wdJKjW9CwbCtLU34fP60eo0eFa8CILAA5/oZmRwnKXFFZYWlrnngQM0tdaztLCCQqnA6/YTVCppaW/kjrv3cvjVY0iShEanQVSIxCIxGprryGSy+H1eerf24HX78br9ZFIZWjuaMJqM5HI5MukMK0tucr05IpEYsWgMjcZGfUMNA6eHMZqMVNa4EEURtUZN0B/C5/VTUeUkl80TiUQYH51icnwGrUaNs8LB/NzShUd3FCut5mYXqWusKTZQnFtmanyGWCyB02Wnuq6amtoKBEEgGo2/Zx6M1x245H1Xoqm5Du1HDzI+OsXKkhutVkN7V2vx9pu0t9OHQQ5sZDLZLWV52b0uqDmfzxtgZcld7G3yAchkMqwseVhdcQNQUemistqJWr3+yCsWjZFIpNBqtThd5bS2NzK6tjNQkKRS1UlTSz3hUIREIsXG3k4EUUAhitQ1vNO5+ErpDXp23baVt147xtLiKtFIHKVS5J4H7sRg1HP49ePoDTr0huLognAoQrnTjslsxOP28fabx4nF4uQLBeamF6hcyxGanZ5n0+YuCvkCJ94+g2KtambDpg527tnK/OwS+XyeYD6PyWygqqaCwtoRVSgYXte3J58voFIqS3krdoeNQ/fuZ+jsGPZyGwtzSyhTaWrqKlGpVbiXvUhIzE4tsDi/gsVWRk1tJe5VH1ZbGYIgrPv6oijidDmYm1lkx+4MI0PjHD18Grvditfj4/BrxxAVCvbevoNde7eiVqsQRaHUd+bCNf31ezBV1VRQVVNRTEwWxXWJ4rIrIwc2MpnslnJuivilRM8b0PnrSCZSvPX6MSZGp0svpoIg0NrRxO7btqE36IjHEwz1jzIyOEEylUKr1dDR2cLG3i60Oi2jwxOkksXqk3KnnZq6KtyrXqA4Kwqguq4So+n95XWEgmHOnhlhcnwGvV5PS2sDG7pa0Wi1JJNJRFHk049+jHAowtkzIwwNjNPR1UKhUGB2eqE046intwuVUkkmk2VhbonG5nri0QST0Rk6u9rYs28beqMeqQDLSyvMTi+U1iKbzWGxaggFwzgcdkLnzcYCUKtVaLRqqmsrKLOYS7dX11bidJXT1FLPkTdP4PMESn1vLPYybDYLg/2jSJJU3OmSJKprK3GvemlqqWd6beil3qhny46NOF0OQOJs/wjzs0s4XeW8/tJhgoF3rufx//cL3Kse7vv4IVwVjtLAy/OJokhd4wc3QuBa5afcDOTARiaT3VJ0uvfe0v+gtvzHRycZH5lad5skSYyPTOFw2uja2MGRN04wdt7HJOJJTp04Szgc5c679rKhp51EIkEinuTY4dOloOYchUJBz+YN76sSJx5L8Mrzb5ZenJOJFGUWE0vzK6yueIhG4giCQNuGYtO6xfkVXBUORFEs9XApfT8FCX8wxG137OTMyUHcKx6CgTDZbIZUMsW+O3fT2tbExPg0K0sXBgO5fI6mlgYK+RxWW9m6YKKndwMalYaNvV0XfJ5KraKlrZH6xho8qz4W5pbo6Apz8ujABe39Q8EIzgoHKpWSrTs2UddQjSiKOFw2Xnz2dU4dHaCqtpLRoUlyuTzVtZWlTsKl68zlWZhdYnp8jl37tvHiM6+t+xhRFNm2c/N7DkVNpVIoRMX73lmTvX9yYCOTyW4prkoXBqOeeCxxwX16g47KD2AAZzqdYfjsOIIgYDIbUSiVZDOZ0lyg4bPjWG0WJsZnLvr5M1NzrK62UVtXjcVa3K1QqVWcPjbA6qoXJAl7uZ3evm4amy5dLSNJErmMxOHXjxONxLCXW1Gr1et2HPQGHdFwjFPHz5KIJ6hrrCEeSzA8MEYsGi+OQhCLxyHn56hYrGZEUSCfzxMIhNi+qxefL4BKpUKjUZHJZDl1fID52UV6Nm+46PUF/WE6u9vQ6TQszC7h9fjI5fJs6Gmne2MH1XVV79ltV6VSUV1bydz0QrG6KXbhblyhUCCdSmMyGzhzYpCxkSmqays5fTxBOBzFaDJgL7cSDkXQ6rS8+coRrDbLBV+rUCgwOT5D77Ye7v/43SzOL+H1+NHpdNTWV1FRdfEqoOXFVcaGJllcXEGpVNDa3kRbRxPm83ahZB8sObCRyWS3FHOZkf0HdvPK82+SPO+FWqvTsP/A7g/kBSeTyaBSq7DZLEyOzxCNxih32GloqiUajZFKZYqt+PMX79haKEgEvEFq69452qhvKM6SCgZCSJKE1Vr2nuXpkiQx1D/GM0+8iMPhQBBFVpY9pJKpYqfgteodo8nA0bdOlRKmlSoloiiCAIlYgp5NHXjcfiRJWquWKu5QbNm+ifDa7o3ZbOTVFw9TZjFdUHLu8wYAieqaigumegNYrWb2H9xNOBQhk86i0+suGcz4vQHi8QQajZpyp70USGj1WiLhKJ1drbhXLtwZSqfSNLc2sLrswVlRjqvSwXO/eAWlUsGWbRvR6rTF7sZSMSgtjo4Q1h0hanVaJEkqzuaymksB53uZn13i+adfJXPe2IFjb59mfnaRg/feft2NSLhZyIGNTCa75TQ01fKx37iXpYUVouEYRrOR6toKbPYPZtCgUqkiEU/y6gtvlV4c3StexkYmuf3QHkxm42V75igucrykUimvuBzd6/Zz9K0TpeoqoFTavjC3hNFkQK1Rk8vmSjsxOr0Wh8NOTW0lAgJanQaz2URtfTUjgxPYy61IQGdXG+l0uvSCLYoikXDkkg3Z5mYW2H9wN6eODTA9OUcmk0Wn09LZ1UrPlg2IoojVZrnk9xKLxjl5rJ+J0WkymSwKhYKaukp27NlCucNOdU0lJ4R+NFo1m7Z2c/b0cCnhWqfX0tbZjCCK6Aw66htrKbOYsZdbSSQS7yRFmwyEghFq66sIBsLrKtOstjKMRgN1DdVotVdWMZfN5jh1rH9dUHPO6oqX2al5Nm65+E6W7NcjBzYymeyWZLVZ3vPF9Nfh9/pZmF264PZcNsfxw6f5wh98FofTjlqjvugLn/J9BDCXsrLsJptd3xMnk87gcNnJZnPEonFsGjUKRTHvQ6lUoFKpMJoM6/JATGUmtu/ewoae9mKV17KH42+fRqvVoNGoSSZSiAqRmvqqtb4uF1IoFFisZdx5921s3tpNOpNBr9etSwq+lEKhwNG3Tq7LRcrn88zNLBKLJrjvYwdxVpSza28fb79xnHKHjXsfPEAkEkOtVtG1sY3RoSmCgVDp8zUadbGTrySRiCfXhlgqMJgMVNa4GDwzujY0U4ndYaWi0oneqKNjQ8sVr38oGMK9eukhkBPjM3Jg8yGRAxuZTCb7gK0suSmzmqmurWR12V2aD6VUKjCZDCgVxUGOfTs2ceTNE+vKhwVBYOu2jThcl59f9F7OD5j0Bh2mMhPZTBaVUsnd993BzPQ8arWKMqsZq6WMifFpLLYyAr4gVrsFtUaNKArUrDWGKzawMyBJUFNbxanjA6SSKdo6m9m0pQsKUjH/5yIazssDOncEls1mWZxfJpVModPrSgm+7+ZZ9TE5PnvRr+v3BVheWqWto5nuTR2UO20szi2Ty+dpVKnQ6XUYjHoUyvW5TOlMhsbmes6cOlsc5LhWUq3RqFGr1fzrL/42w2fH8Hp8aHU6amor2di7AVflledfSQXWlZZfeP/FjyFlvz45sJHJZLIP2LkeJJXVLqzWMhKJ4ogEvV6HVq/l3Mtdz+ZOLFYzY8NTBPxBLNYy2je0UNdQ/Wv3Lzl3rOZwlZNOZzj2zOulGVCuSgd3338HhbzEs0++RHtXCwF/kFw+z/zcEuFQhKbWenbs2UrFecnUQX+I53/5CsFAGKPJQF198TpfeuZ1XJUOKqqcJOKJdRVDjc111NStL4P2ef289eoxVpbdFAoSoihSXVvBnn3bS4HPOZFwZN1x2rv5PQHoaEYQBCqrXChEkcOvH2d1xUOhIKFUKotHbE47Xo8fgHAwQkd3K5FIBIPZWJzUSbFx4t7bd9DYXEdnd2uxAkwQsFjM7/vnYbGasZfbLtkzqbGl7n19PdmVkwMbmUwm+4A5Kxyl/9bqtWjP62SsUqtKQYdCoaChqY6GprricYj4wc0lrqx2UVVbycrSCkffPFl68YbicMjhs2M0tzRQ31SLJEnc8+AB/L4AntXiROxd+7bT29e9rpR8fHS6VJLtdJUzMjTB9MQsAOUOO+VOG1XVLqprK8mmM8WuuS116zo5JxMpXnn+rVKQAZQ6/r720mHu/ejBdSX3KvV75yJpzvvYaCTGS8++QfC8nji5XA6fx1/ctTIbS9PQPate7rx3H83NDaSSaTQ6Da4KZymhV6FQ/FpHlWqNmi3benjx2dcvCMwsFjONLR9ME0jZheTARiaTyT5gldUu6hqqmb9Ink33xo6LzhP6IIMaKB4/7dyzhf/5/30XQRSRJAmFQoHNbqGqpoJ4LMHo8CQWWxnhYISl+RVi0TganYZ8Ps/0xCzbdm4ufb1sJsvkWnm6RqvB5w2UghooNv2rrHYRjcbp7euhs6ftouXPK0vudUHNuvvWpnXXn3d05XSVYy4zreufc45SqaCyxlX699LCyrqg5hyNVkMum6e3r5tIOIpSqcRV6SQY9tPYUv+hNcNraq3nkOJ2zp4Zxuf2IyoUNDbX0r2pE9uHlN8lkwMbmUwm+8DpdFr2HdjN4JkRxkenyKQzGIx6ujd10NHVdtXa5AuiiE6voaOrlUI+j1KlQq/XgiCQTmfwuv2UO2zMzSysa44HxXyT2emFUn5MsdS5eIhmMhl4+43j73o0ae1/MDY6RWdPcXZVoVDA6/YRChaTcROJOCqV8oLE5nPO7aicYzDq2b1/O68890axJHuNKIps37UF13m7Y4FLTMYuroWAWqNm977tQPG40HfGfcmP/yAIgkBTcx119VVEo3EUokIu8b4K5MBGJpPJPgRms5Hd+7bRvamTTDpTmrt0NWk0alQqFQaDDuFdO0I6nRa1SkUoGLkgqIHi6IJjb52iotKBVqdFrVHT0FTLwOlhBEEglVpfzWU0GtCslbAnEynyuTyZdJZjh08xNjJVmlqeTqWpXNsxSq/l/Ky7Zu2FR09NzXUYH7qbuZkF/N4ARrOR+qYaqmsq1+10aXXvXYqtVl2brr9KpRKrteyaPPatSA5sZDKZ7EN0Ld+hm8tMtHU0s7p0YbWSUqVk++4tPPHY0xfcV1HlRKvX4nX78XkD1NRVAdDe2cLU+Cz5fJ6KSicKpYhOpyWXK6DTqUvBk8NpR6VWcebwaYbOjq372pIk8eYrR7jj0B7cq+sDG4NBj6vSxcU4K8pxVrxTAp/N5i7IS6quqUCpVJaCqPNZrOb3VdUku3HJgY1MJpPdxJrb61EqVOu6/oqiyMbeDWzZ1kMkEuPwa8fwrHpLM5iqaivwrPVgOb9k2eGyc88DdzAxNoMgwNP/8hKxaIxyp51NW7pwusrx+4J0bGghGokxNDh+wfVodVoqKp0sL7rJZrIkEkkMRj1mi5nbDuy6bCDo8waYGJ1mZmoOQRBpaWugpb0Rq82Cs8LBrr1bOfzG+saEWp2GvbfvXJfEfKWymSw+XwCpIFFmMWMwvr+Bo7KrTw5sZDKZ7CaWL+Q4eO9+3KtePKtelEolFVVOKqqcKJVKauoqaetspmtjO5IkEY8nca8Ud3iMJgNWu2Xd13NWOBgfnWZxYYWq2gp8Hj+ZTJbjR87Q2d3Gg5+4m7rGGtwrXpJrZe7rriefJ51Kk0qlaG5rZHlhBavdSvemDhoaa97ze/G4fTz3i5eJnjeh/fiRM0yNz3L3/XdgtVvo3tyJ3WljYW6JeCSBzWGhtq76glEPV2JudpETb58ujZQwmY309nXT0dX6vgaPyq4u+Scjk8lkNzmtTkNTSz1NFykxrquvYnhgDI97fb8VQRDo7evBaDSsu93r8TMyNLE2/LEah9NOMpFCEATUahVqjXrdf7+7s3LAF2RxYYVum4V4PIFOryMajfH2GycwmY0XvcZzhs6MrgtqSl8zEGJ8ZIode7ciCAJV1RXvOWn7Sqwsu3nx6dfWJSxHIzHeeOUoCoWCzu62X+vryz48H2x9oUwmk8mumVwuRyqVes+Ot+9mNBk5cM9tbNzciU6vQ6VW4XCWc+dde9nQc+GLdygQJndeRZNWp8Vqt2CxFYdynguQrHYLTc3rm9DlcjncK15EUaSuoZpoOEY6naGQL1AoFBgdnCjNeHq3aCTG7OziJb+PifGZdUHIr2tqfPaiX0+SJPpPDpFKpS7yWbLrgbxjI5PJZDe4RDzJ1Pgso0MTpNJpyh02OrvbSuMQLsdqs7D3jp1s2tpNNpvDaNRfckjn5frtqNaOaARBYMv2jUTCUZaXimXV2UyOgiSxZ//2dZPVz/H7g2Qy2XUN+s4pFApI0qXHEEiS9IGNKSg2DLywB9E5oXCEaDh2xQMxZVeXHNjIZDLZDSyVSvPWa8eYGJsu3RaNxJifXeK2O3a+r8Z/JvPlK7icLjs6ve6i+TOiQlw3gsFiLePu++9keXEFrzeAIEFbZzN+X4BY9MIjJb1Bd9F5UeeuraLCyezMwkXvr6mrvGy595USRfGiwdU5SqXyotPXZdcH+ShKJpPJbmDLi6vrghoo9qjR6bWcOXkWUfhgu+qaLWZ27Nly0W69m3q7cFU61t2m02tpbmtk556t7Ni7FWdFOYn4hUERQGdX6yW7AIuiSE9v57rJ4+dotRo6uz7YnJe295jkXddQjdUm96W5Xskhp0wmk93AluaXS/9tMOoxGPQsL64Sjycod9hIJz64vJNzOrtaMRr1jI9M4/X4iv1yOltoaKy5bLVQV08bfm+A2el3dl4EQWBDTxtNrQ3v+bm19dXcdd/tDJwaKlZuCQLV1S42be1et1P0QWhsqmOxdYmpibl1t5eVmejd2nPVukfL3j85sJHJZLIbWL5QTBTWG3Tkc3meefKlUgLu+PAkKyurOFxOGps/uGnSgiBQ11BDXUMNkiS9rxd5o8nInXffxsrSaimRuLLaRUWl86K7Me9W31BDTW0l4VBxdpTFav7A52xBcT33H9hNY0s905NzZDM56uqrqW+qwSJ3Eb6uyYGNTCaT3cCqa1wMnx3DaDLw7JMvr6sqUqlU5LI53n7jOJVVzivOQYlGYnjcPvL5AlabmXKH/ZLBy6+yc6HVamhsrqex+VebcH1umOeHTavT0tbRTFtHMwCxaIxMJkc6nSmNj5Bdf+TARiaTyW5g1bVV1DVUs7zoXtdtVxCE4vGMIBH0h3Cv+qi/TAM8gNHhSY6+eZJ4PAGASq1iQ3cbW7ZvRPcBJefeaCKhKIMDo4yPTpHN5igzm+jp7aSlvemSyc6ya0dOHpbJZLIbmN6gY9+BXZRZTKjVKhRKBQaDnoamWhyu8lIJdO4S07TPtzC/xOsvHS4FNVAcKdB/aojhd818ulXE4wlefuFNzpwcJBFPlkYsvPriYQb7R6715ckuQg41ZTKZ7AZnNpvY2LuB1WUP+XwelaoY4JwLalQqFWaL6bJfZ3Jkhlwuf9H7hgbGaO9swWgyXPT+m9XywgrL583ZOkeSJM6cHKSppZ4yi/kaXJnsUuQdG5lMJrsJVNdW4apwoNVpUSjXl0y3d7VQfplZSZIk4X7XWIXzJeKJS5Zp38yWFt2XvC+ZSBHwh67exciuyHUd2PzxH/8xjzzyyLrbZmZm+OxnP0tvby979+7lb//2b6/R1clkMtn1w1xm5MA9+6hvrCn1gtFoNfTt7GXr9k2XTfIVBAGT+dK7MSq1GrXm8lVLNxuF4r3XTRTlsu/rzXV7FPWzn/2MX/ziF/T19ZVuy2az/N7v/R6HDh3iu9/9LpOTk3zhC1+gvr6ee++99xperUwmk117Dpedex64E583QDaTRa/XsrC0gE5/ZUm/bZ0tzM1cfB5TS2vDLVnmXFNXxdkzoxe9z2Q2Uu6wX+Urkl3OdRnYTE5O8jd/8zd88pOfZGZmpnT78ePH8Xg8fOUrX0GtVrNhwwYeeeQRfvSjH73vwOb86oGr5dxjXovHvt7Ja3Np8tq8N3l9LnTu2Cmfz5Oby13x2tTVV7FpSxcDp4bWlY1X1VTQs2XDTbXGV/q8cVU6aW1vZHxkat3tCqWCvh2b0Oo0N9W6wPX7O3Wl1yNI72cM7AcglUrhdl/8zNLhcCCKIp/85Cf56le/ysDAAMeOHeMHP/gBAP/4j//IE088wT//8z+XPufll1/ma1/7GidOnLiix8/n85w5c+bX/j5kMpnsZqRQKMikcnjdfrLZHA6nDYNZTz5/+aqqm5VSocLnDTI+PEUymcThLKe1oxGtXn3dvfjfCjZv3nzJ0RtwDXZs+vv7efTRRy9637e//W1efvll9uzZw/79+xkYGFh3fzweR6fTrbtNp9ORSCR4v3p6et5zYT4M+Xyes2fPXpPHvt7Ja3Np8tq8N3l9Lk1em0v7VdZm3+27yeXyqFTKm3qkwvX6vDl3XZdz1QObHTt2MDZ28X4ITz75JKOjo/zkJz+56P16vZ5kcn1WfjKZxGB4/+WHCoXimv3AruVjX+/ktbk0eW3em7w+lyavzaW9n7VRKBSoVLdOAvWN+ry5rnJsnnjiCWZmZti9ezcA6XSafD5PX18fTz75JK2trczOzpLL5UqD1iYnJ2ltbb2Wly2TyWQymew6cV0FNt/73vfW/fuv//qv1+XYOJ1OrFYr3/rWt/jDP/xDZmZm+MEPfsAf/dEfXYvLlclkMplMdp25rgKby1EqlXz/+9/n61//Onv27EGv1/PII4/w0EMPXetLk8lkMplMdh24rgOb3//937/gtvr6+gt2dmQymUwmk8ngOu88LJPJZDKZTPZ+yIGNTCaTyWSym4Yc2MhkMplMJrtpyIGNTCaTyWSym4Yc2MhkMplMJrtpyIGNTCaTyWSym8Z1Xe79YTg381Oe7n19kdfm0uS1eW/y+lyavDaXJq/NpV2va3Puei43u/uqT/e+1jKZzBUN0ZLJZDKZTHb96enpQa1WX/L+Wy6wKRQK5HI5RFG8qaezymQymUx2M5EkiUKhgFKpRBQvnUlzywU2MplMJpPJbl5y8rBMJpPJZLKbhhzYyGQymUwmu2nIgY1MJpPJZLKbhhzYyGQymUwmu2nIgY1MJpPJZLKbhhzYyGQymUwmu2nIgY1MJpPJZLKbhhzYXAWLi4t8+ctfZufOnezYsYMvfvGLLCwslO6fmZnhs5/9LL29vezdu5e//du/vYZXe/X5/X6++MUv0tfXx44dO/jGN75BLpe71pd1TYyOjvI7v/M7bN++nT179vC1r32NQCAAQH9/P5/85Cfp7e3lzjvv5LHHHrvGV3tt5PN5HnnkEf79v//3pdtu9bUJhUJ87WtfY8eOHWzbto0vfvGLeDweQF6boaEhfvu3f5u+vj727t3Lf/kv/4VMJgPc2msTCAQ4dOgQR48eLd12ufV4/PHHOXToEJs3b+ahhx7i9OnTV/uyr4wk+9A9+OCD0p/92Z9J8XhcisVi0p/+6Z9K999/vyRJkpTJZKS77rpL+m//7b9J6XRaGhoakvbu3Ss9/fTT1/iqr57PfOYz0r/7d/9OSiQS0vz8vHTfffdJ3/3ud6/1ZV11yWRS2rNnj/Q//sf/kNLptBQIBKR/82/+jfSFL3xBCoVC0vbt26Uf/vCHUjablQ4fPiz19vZK/f391/qyr7q/+qu/kjo6OqQ/+ZM/kSRJktdGKv4OfelLX5LC4bAUjUalL3/5y9LnP//5W35t8vm8tGfPHukf//EfpXw+L62srEh333239L/+1/+6pdfmxIkT0sGDB6W2tjbpyJEjkiRd/vfoyJEjUm9vr3TixAkpk8lIf//3fy/t2LFDSiQS1/JbuSh5x+ZDFg6HKS8v5w/+4A/Q6/UYDAYeffRRxsfHCYfDHD9+HI/Hw1e+8hXUajUbNmzgkUce4Uc/+tG1vvSrYm5ujmPHjvHHf/zH6HQ6amtr+eIXv3jLfP/nW15epqOjgy996Uuo1WqsViuf+tSnOH78OM8//zwWi4Xf/u3fRqlUsmvXLh544IFbbp3efvttnn/+ee66667Sbbf62gwODtLf3883v/lNzGYzRqOR//yf/zNf/epXb/m1CYfDeL1eCoVCaXCiKIrodLpbdm0ef/xxvvrVr/JHf/RH626/3Ho89thj3HfffWzduhWVSsXnPvc5rFYrTz/99LX4Nt6THNh8AFKpFHNzcxf9n0ql4nvf+x5Op7P08c899xzV1dWUlZUxMTFBY2PjuoFeLS0tjI6OXotv5aqbmJjAYrHgcrlKtzU3N7O8vEwkErmGV3b1NTU18X/+z/9BoVCUbnvuuefo6upiYmKCtra2dR9/Kz1PoHhk+ed//ud861vfQqfTlW6/1ddmYGCAlpYWfvrTn3Lo0CH27t3LX/7lX+JwOG75tbFarXzuc5/jL//yL+np6WH//v00NDTwuc997pZdm7179/LCCy/wkY98ZN3tl1uPycnJG2a9lNf6Am4G/f39PProoxe979vf/jYHDx4s/fvHP/4x3//+9/nOd74DQDweX/dHGkCn05FIJD68C76OXOr7B0gkEpjN5mtxWdecJEn81V/9Fa+88go//OEP+ad/+qcL1kmr1d4yz5NCocAf//Ef8zu/8zt0dHSsu+9iz6FbaW3C4TBjY2N0d3fz+OOPk0ql+NrXvsaf/MmfUF5efkuvTaFQQKvV8h//43/k4YcfZm5uji9/+cv8z//5P2/Z543D4bjo7ZdbjxtpveTA5gOwY8cOxsbG3vNjMpkMf/EXf8HTTz/N3/3d37Fz504A9Ho9yWRy3ccmk0kMBsOHdr3Xk0t9/8AtswbvFovF+NM//VOGhob44Q9/SHt7Ozqdjmg0uu7jUqnULbNGf/d3f4dareaRRx654L5bfW3O7fb++Z//ORqNBqPRyB/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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualise\n", "sns.scatterplot(data=xclara, x='V1', y='V2', hue='cluster', alpha=.5)" ] }, { "cell_type": "markdown", "id": "abacd3fc-cc9e-49d3-8420-5c26295d62bc", "metadata": {}, "source": [ "As can be seen, the algorithm did a fantastic job of tying together those separate groups of points! One of the nice benefits of this tree-like approach to clustering is that it allows the researcher to make a visual judgement and reason about the likely number of clusters in the data. Note that here we could easily visualise these clusters because the original dataset was two dimensional, and this will not always be the case!" ] }, { "cell_type": "markdown", "id": "eff3d278-610e-4fba-8b08-5e17a61284f6", "metadata": {}, "source": [ "### Evaluating a tree - determining the quality of a cluster\n", "With EFA, we could evaluate our clustering by looking at the cumulative variance explained - how much variance the factors explained in the original dataset. How can we evaluate our clustering? We use a statistic called the **silhouette coefficient**. The general intuition of this statistic, which varies from -1 to 1, is that it compares the similarity of data points within a cluster to the similarity of the data points in other clusters. If this value, is on average, high (above 0.70 or so), then the number of clusters is appropriate. If it is between 0.5 and 0.70 then it is reasoable, and above 0.25 to 0.5 a weak clustering. Below those values it indicates the clustering is poor, or indeed, if it is less than 0 it suggests observations in clusters are more similar to those in *other* clusters. Its calculation is simple - we pass the original data and the cluster labels obtained from our tree cutting to the `silhouette_score` function:" ] }, { "cell_type": "code", "execution_count": 10, "id": "89285b8d-68c4-427a-9292-36ff26ee4cfa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.6941949594065251" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Calculate silhouette\n", "silhouette_score(xclara[['V1', 'V2']], xclara['cluster'])" ] }, { "cell_type": "markdown", "id": "1968d0bd-0dff-4e45-8bad-b8a9565af6be", "metadata": {}, "source": [ "This suggests a reasonably strong clustering solution with three clusters." ] }, { "cell_type": "markdown", "id": "d7e18688-1736-4ab4-b10b-5d319ead6604", "metadata": {}, "source": [ "## An applied example - clustering cultures based on personality traits\n", "A real-world example will cement these principles. \n", "\n", "Grice & Iwasaki (2007) collected data from three different cultural groups in the United States - European Americans, ostensibly Caucasian individuals who had lived in the US all their life, Asian Americans, who were Asian individuals who had lived in the US since at least early childhood, and Asian Internationals, Asian individuals who had moved to the US after their sixth birthday. Each respondent completed a Big 5 personality questionnaire, obtaining a score on each of the 5 traits. While we know ahead of time there are groups in this data - *which we often dont* - we can still use this dataset to see if clusters do indeed emerge solely from the personality scores. \n", "\n", "We read in the data from this link: https://vincentarelbundock.github.io/Rdatasets/csv/heplots/Iwasaki_Big_Five.csv\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "22a9e0d3-ab55-4403-94dd-43bdab61cbbd", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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rownamesIDGroupNEOAC
011Asian_Intl87117130124127
122Asian_Intl101134123115124
233Asian_Intl6313511171134
344Asian_Intl104118108107111
455Asian_Intl70114110119120
\n", "
" ], "text/plain": [ " rownames ID Group N E O A C\n", "0 1 1 Asian_Intl 87 117 130 124 127\n", "1 2 2 Asian_Intl 101 134 123 115 124\n", "2 3 3 Asian_Intl 63 135 111 71 134\n", "3 4 4 Asian_Intl 104 118 108 107 111\n", "4 5 5 Asian_Intl 70 114 110 119 120" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Read in data\n", "five_culture = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/heplots/Iwasaki_Big_Five.csv')\n", "five_culture.head()" ] }, { "cell_type": "markdown", "id": "aacb00f7-0b7b-458f-8657-a15deeedb8af", "metadata": {}, "source": [ "This is self explanatory. We will ignore (for now) the `Group` variable, and build a hierarchical tree on the personality score columns (OCEAN). It is sometimes useful to standardise your data before clustering, especially if the variables are measured on different scales, which we will do as an extra step below. We will then build a tree and visualise it." ] }, { "cell_type": "code", "execution_count": 12, "id": "56e0aac6-a683-4427-96d8-2fce2e804846", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Standardise columns\n", "from scipy.stats import zscore # Grab the zscore function\n", "\n", "# Standardise\n", "five_culture[['N', 'E', 'O', 'A', 'C']] = five_culture[['N', 'E', 'O', 'A', 'C']].apply(zscore) # Overwrite columns with a zscored version\n", "\n", "# Build a tree\n", "tree = shc.linkage(five_culture[['N', 'E', 'O', 'A', 'C']], method='ward')\n", "\n", "# Visualise\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n", "big_five_tree = shc.dendrogram(tree, no_labels=True, ax=ax)" ] }, { "cell_type": "markdown", "id": "2431be67-007c-43a3-a321-273a7d0bcbba", "metadata": {}, "source": [ "This sort of pattern is much more representative of clustering with real data. We can see evidence of around four clusters here, imagining a cut at around 12.5, though we could even consider a cut at around 10, which would yield us five. We could even cut this into three clusters at a Y-axis value of 13. This is up to us of course - there are no 'right' answers. We can evaluate a set of cuts with the silhouette coefficient, which we do next." ] }, { "cell_type": "code", "execution_count": 13, "id": "0c90112d-46b3-4e82-961d-6109e7b14d8f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'Three clusters:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "0.13628548582932207" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "'Four clusters:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "0.153040712987108" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "'Five clusters:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "0.15455977226524698" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a set of cuts\n", "clusters_3 = shc.cut_tree(tree, height=14)\n", "clusters_4 = shc.cut_tree(tree, height=12.5)\n", "clusters_5 = shc.cut_tree(tree, height=10)\n", "\n", "# And evaluate these with the silhouette score\n", "# the 'flatten' method makes the labels 1 dimensional which silhouette_score wants\n", "silhouette_3 = silhouette_score(five_culture[['N', 'E', 'O', 'A', 'C']], clusters_3.flatten()) \n", "silhouette_4 = silhouette_score(five_culture[['N', 'E', 'O', 'A', 'C']], clusters_4.flatten())\n", "silhouette_5 = silhouette_score(five_culture[['N', 'E', 'O', 'A', 'C']], clusters_5.flatten())\n", "\n", "# Display\n", "display('Three clusters:', silhouette_3, 'Four clusters:', silhouette_4, 'Five clusters:', silhouette_5)" ] }, { "cell_type": "markdown", "id": "ce6c1cfa-af62-48a6-93a2-2045754ef8c2", "metadata": {}, "source": [ "What have we learned here? It seems like that however many clusters we pick, they are actually quite weak. This indicates to us that the clusters are not particularly strong. However, it does also suggest that a four or five cluster solution is marginally better. Which to pick? You could take either, but I will select four since it is simpler. We will continute with that, adding those cluster labels back to the dataset. \n", "\n", "We could then visualise the personality profiles of those four groups, after melting our data (refer to chapter one for a refresher!)." ] }, { "cell_type": "code", "execution_count": 14, "id": "934510b5-e9e0-4f5f-a9e3-1fb60486d68e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IDGroupclusterstraitscore
01Asian_Intl0N-0.420411
12Asian_Intl0N0.240434
23Asian_Intl1N-1.553288
34Asian_Intl1N0.382044
45Asian_Intl0N-1.222866
\n", "
" ], "text/plain": [ " ID Group clusters trait score\n", "0 1 Asian_Intl 0 N -0.420411\n", "1 2 Asian_Intl 0 N 0.240434\n", "2 3 Asian_Intl 1 N -1.553288\n", "3 4 Asian_Intl 1 N 0.382044\n", "4 5 Asian_Intl 0 N -1.222866" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Add the 5 cluster labels back\n", "five_culture['clusters'] = clusters_4\n", "\n", "# Melt the data for plotting\n", "plot_this = five_culture.melt(id_vars=['ID', 'Group', 'clusters'],\n", " value_vars=['N', 'E', 'O', 'A', 'C'],\n", " var_name='trait', value_name='score')\n", "\n", "display(plot_this.head()) # Show the melted data" ] }, { "cell_type": "markdown", "id": "d2eeffc7-1ee1-41df-b45a-3bbf9a0cb140", "metadata": {}, "source": [ "And visualise:" ] }, { "cell_type": "code", "execution_count": 15, "id": "800dcc00-585e-48f7-b931-526991de2551", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualise\n", "sns.catplot(data=plot_this,\n", " x='trait', y='score', \n", " hue='trait', col='clusters',\n", " col_wrap=2, kind='bar')" ] }, { "cell_type": "markdown", "id": "023c9db9-8e17-4d25-b096-c6626be25bdf", "metadata": {}, "source": [ "What we've learned here is that:\n", "- People in cluster 0 have lower than average Neuroticism, very average Openness, and slightly higher than average Extraversion, Agreeableness, and Conscientiousness.\n", "- People in cluster 1 have much lower than average Agreeableness (not nice people!), very average Conscientiousness and Openness, with slightly higher scores on Extraversion and Neuroticism.\n", "- People in cluster 2 have rather lower than average Extraversion, Openness, and Conscientiousness, and average scores on Neuroticism and Agreeableness.\n", "- People in cluster 4 have high scores on Neuroticism, Openness, and Agreeableness, but lower scores on Extraversion and Conscientiousness.\n", "\n", "Coarsely speaking we might imagine: \n", "- Those in cluster 0 as relaxed, outgoing, friendly, and hard working, but not particularly creative.\n", "- Those in cluster 1 as unfriendly, slightly anxious but outgoing, and not particularly creative or hardworking.\n", "- Those in cluster 2 as introverted, close minded, and disorganised.\n", "- Those in cluster 3 as anxious, disorganised, and a little introverted, but very creative and very friendly.\n", "\n", "But remember - this clustering solution was quite weak! As a final interesting test we might compare the cluster labels with the actual ethnic groups to see if there is any concordance, using `pd.crosstab`." ] }, { "cell_type": "code", "execution_count": 16, "id": "1f2f1c09-afdf-4bee-8126-cab7ece5c68f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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clusters0123
Group
Asian_Amer2515239
Asian_Intl3918153
Eur2271215
\n", "
" ], "text/plain": [ "clusters 0 1 2 3\n", "Group \n", "Asian_Amer 25 15 23 9\n", "Asian_Intl 39 18 15 3\n", "Eur 22 7 12 15" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Crosstabs\n", "pd.crosstab(five_culture['Group'], five_culture['clusters'])" ] }, { "cell_type": "markdown", "id": "0255f4db-a9df-42a2-a79f-e293a492d658", "metadata": {}, "source": [ "Not really! \n", "\n", "Clustering is again a powerful tool but must be used with circumspection, requiring careful consideration of the data, questions, and problem at hand. Its possible to also combined clustering and techniques like factor analysis, where a researcher might reduce a large number of column-variables down to their latent factors, and then perform clustering on the factor scores to see how people group together on those latent variables. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }