{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
Peter Norvig
March 2021
\n", "\n", "# The Square-Sum Chain Problem\n", "\n", "The Square-Sum Chain Problem is this:\n", "\n", "> Rearrange the integers 1 to *n* into a linear chain such that adjacent pairs of integers adds up to a perfect square.\n", "\n", "The problem is oft-discussed (e.g., [Numberphile](https://www.youtube.com/watch?v=G1m7goLCJDY), [reddit](https://www.reddit.com/r/dailyprogrammer/comments/7t6fnc/20180126_challenge_348_hard_find_chains/), [MAA](https://www.maa.org/sites/default/files/pdf/awards/college.math.j.46.4.264.pdf), OEIS [A090460](https://oeis.org/A090460), [A090461](https://oeis.org/A090461) [A071983](https://oeis.org/A071983), [A071984](https://oeis.org/A071984)). There are several variants:\n", "\n", "1. Given *n*, find a valid chain.\n", "2. Given *n*, count the number of valid chains.\n", "3. Do this efficiently, for all *n* from 1 up to a largish bound.\n", "5. Require the integers to form a [circular chain](https://www.tutorialspoint.com/statistics/circular_permutation.htm), where the last integer is considered to be adjacent to the first.\n", "6. Do the above with [cubes](https://math.stackexchange.com/questions/1168983/arranging-numbers-from-1-to-n-such-that-the-sum-of-every-two-adjacent-number) (or higher powers) instead of squares.\n", "4. Prove what happens as *n* goes to infinity.\n", "\n", "# Vocabulary\n", "\n", "The key concepts for this problem:\n", "- **Chain**: a permutation of the integers 1 to *n*, where each adjacent **pair** sums to a **perfect square**. Implemented as a list.\n", "- **Pair**: two **adjacent** integers in a chain.\n", "- **Circular chain**: a chain that loops back on itself so the first and last integers are **adjacent**.\n", "- **Partial chain**: an incomplete chain that contains only some of the integers 1 to *n*.\n", "- ***n***: the size of the chain. \n", "- ***i, j***: integers in the chain.\n", "- ***k***: an index into a chain.\n", "- **Adjacency Graph**: a [graph](https://en.wikipedia.org/wiki/Graph_%28discrete_mathematics%29) where the vertices are the integers 1 to *n*, and a link between *i* and *j* means that *i* + *j* is a perfect square. The name reflects both the fact that linked integers in the graph can be adjacent in the chain, and that the graph can be represented with [adjacency lists](https://en.wikipedia.org/wiki/Adjacency_list). Here is the graph for *n* = 15:\n", "[![](SquareSum15.jpg)](http://jackxmorris.com/posts/square-sum)\n", "- **Hamiltonian Path**: a path that visits every vertex in a graph exactly once, such as 8⇒1⇒15⇒10⇒6⇒3⇒13⇒...⇒9 in the graph above.\n", "- **Graph Search**: We can use a [graph search algorithm](https://en.wikipedia.org/wiki/Graph_traversal#Graph_traversal_algorithms) such as [depth-first search](https://en.wikipedia.org/wiki/Depth-first_search) to search for Hamiltonian paths on a graph. Such an algorithm considers **partial chains**, extending them as possible, or discarding them and moving on to alternatives. For example:\n", " - On the graph above, suppose we have gotten to the partial chain 8⇒1⇒3, which we can represent as the list `[8, 1, 3]`.\n", " - We will find that there is no way to complete a Hamiltonian path from this partial chain. (If we link to 6 next we will return to 1 a second time; if we link to 13 we will never reach 6.)\n", " - But we can give up on that chain and consider `[8, 1, 15]`; from there it is easy to find a valid chain.\n", "\n", "\n", "# Imports, Types, and Utility Functions\n", "\n", "Let's get these out of the way first:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import random\n", "import time\n", "import matplotlib.pyplot as plt\n", "from typing import *\n", "from math import sqrt, sin, cos, pi as 𝜋\n", "from collections import Counter, defaultdict" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "Chain = list # A chain of integers, e.g. [8, 1, 15, ...]\n", "Pair = Tuple[int, int] # A pair of adjacent integers\n", "Graph = Dict[int, List[int]] # Adjacency graph, e.g. {1: [3, 8, 15], 2: [7, 14], ...}" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def first(iterable): \"First element, or None.\"; return next(iter(iterable), None)\n", "\n", "def ints(n) -> range: \"Integers from 1 to n inclusive.\"; return range(1, n + 1)\n", "\n", "def is_square(n: int) -> bool: \"Is `n` a perfect square?\"; return sqrt(n).is_integer()\n", "\n", "def count(iterable) -> int: \n", " \"Number of truthy elements in iterable.\"\n", " return sum(1 for x in iterable if x)\n", "\n", "def pairs(chain, circular=False) -> List[Pair]:\n", " \"\"\"All pairs (i, j) of adjacent integers in chain.\"\"\"\n", " return [(chain[k - 1], chain[k]) # If `circular` is True, include (chain[-1], chain[0])\n", " for k in range(1 - circular, len(chain))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Adjacency Graphs\n", "\n", "Computing an adjacency graph is straightforward:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def adjacency_graph(n) -> Graph:\n", " \"\"\"Build {i: [j, ...]} to indicate that j can be adjacent to i in a chain of length n.\"\"\"\n", " return {i: [j for j in ints(n) if i != j and is_square(i + j)]\n", " for i in ints(n)}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the adjacency graph for *n* = 15. You can verify that it matches the graph shown above." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{1: [3, 8, 15],\n", " 2: [7, 14],\n", " 3: [1, 6, 13],\n", " 4: [5, 12],\n", " 5: [4, 11],\n", " 6: [3, 10],\n", " 7: [2, 9],\n", " 8: [1],\n", " 9: [7],\n", " 10: [6, 15],\n", " 11: [5, 14],\n", " 12: [4, 13],\n", " 13: [3, 12],\n", " 14: [2, 11],\n", " 15: [1, 10]}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "adjacency_graph(15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Depth-First Graph Search \n", "\n", "I'll define `find_chains(n)` to do the depth-first search to find chains of length `n`. The algorithm is:\n", "\n", " - Precompute the adjacency graph.\n", " - Assign `stack` to be a stack of partial chains; initially one-element chains, one for each vertex in the graph.\n", " - On each pass through the `while` loop, pop a partial chain off the stack, and do the following with it:\n", " - If it is a complete chain (of length `n`), yield it as a valid solution.\n", " - Otherwise, add new chains to the stack, one for each integer `j` in the adjacency graph that can be added to the partial chain.\n", "\n", "For now, only linear chains are allowed. \n", "Here's the code:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def find_chains(n) -> Iterator[Chain]:\n", " \"\"\"Yield all chains of 1..n rearranged so every adjacent pair sums to a square.\"\"\"\n", " graph = adjacency_graph(n)\n", " stack = [[i] for i in graph]\n", " while stack:\n", " chain = stack.pop()\n", " if len(chain) == n:\n", " yield chain\n", " else:\n", " stack.extend([chain + [j] for j in graph[chain[-1]] if j not in chain])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Note*: why did I define `find_chains` to be a [generator function](https://docs.python.org/3/howto/functional.html#generators)? Because that way a single function can be used for two purposes: to efficiently find a single chain for a given *n*, and to exhaustively find all chains for a given *n*. \n", "\n", "# Solving Problems\n", "\n", "We can now solve some of the variant problems (at least for small *n* and for linear chains):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "n = 15 # Given n," ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "any(find_chains(n)) # Are there any valid chains of length n?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[9, 7, 2, 14, 11, 5, 4, 12, 13, 3, 6, 10, 15, 1, 8]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "first(find_chains(n)) # Find a valid chain." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "count(find_chains(n)) # Count the number of valid chains." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[9, 7, 2, 14, 11, 5, 4, 12, 13, 3, 6, 10, 15, 1, 8],\n", " [8, 1, 15, 10, 6, 3, 13, 12, 4, 5, 11, 14, 2, 7, 9]]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(find_chains(n)) # List the valid chains." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that these two chains are reversals of each other—you might want to count them as the same chain, but I will count them as two distinct ones.\n", "\n", "We can also answer questions \"for all *n* up to a bound,\" although we can't do a very large bound:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{15, 16, 17, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "{n for n in range(2, 40) if any(find_chains(n))}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Circular Chains\n", "\n", "I'll modify `find_chains` to yield circular chains when the optional argument `circular` is true.\n", "\n", "This raises the question of what it means for two chains to be the same or different. If **ABCD** is a circular chain, then **BCDA** is in some sense the same circular chain (i.e., **A**+**D** is a perfect square), just starting from a different place. I'll use the convention that, I'll only report one starting place for each circular chain, and I'll arbitrarily choose that starting place to be the integer 1. I will however still count reversals (e.g., both **ABCD** and **DCBA**)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def find_chains(n, circular=False) -> Iterator[Chain]:\n", " \"\"\"Yield all chains of 1..n rearranged so every adjacent pair sums to a square.\n", " If `circular` is true, then chain[0] and chain[-1] are considered adjacent.\"\"\"\n", " graph = adjacency_graph(n)\n", " stack = [[i] for i in ({1} if circular else graph)]\n", " while stack:\n", " chain = stack.pop()\n", " if len(chain) == n and (is_circular(chain) or not circular):\n", " yield chain\n", " elif len(chain) < n:\n", " stack.extend([chain + [j] for j in graph[chain[-1]] if j not in chain])\n", " \n", "def is_circular(chain) -> bool: \"Is `chain` circular?\"; return is_square(chain[0] + chain[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's the smallest *n* that has a valid circular chain?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "32" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "first(n for n in ints(100) if any(find_chains(n, circular=True)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Making the Algorithm Faster\n", "\n", "\n", "As a benchmark, I'll run `find_chains` for *n* from 1 to 50, check if each *n* has any linear chains, and see how long it takes:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1min 18s, sys: 41.7 ms, total: 1min 18s\n", "Wall time: 1min 18s\n" ] }, { "data": { "text/plain": [ "31" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time count(any(find_chains(n)) for n in ints(50))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It took over a minute. Can we speed things up? It turns out this problem is [NP-hard](https://en.wikipedia.org/wiki/NP-hardness) (according to [Jack Morris](http://jackxmorris.com/posts/square-sum)), so there really is no hope of finding an efficient solution for large *n*. However, there could be optimizationsthat give us constant-factor speedups. \n", "\n", "If we want to find all chains, we need to be resigned to essentially trying all possibilities. But if we are only interested in finding the first chain, we can change the **order** that we consider integers in the chains, to try to make it more likely that the first valid chain shows up earlier in the search. \n", "\n", "What order would be better? One in which we handle the most-constrained hard-to-match integers first–the integers with few links in the adjacency graph. That way, the search will quickly make many moves with little need to back up. For example, on the adjacency graph for *n* = 15, the integer 9 has only one adjacent integer so it comes first, followed by 7, which must be followed by 2 (since 9 is used), which must be followed by 14 (since 7 us used), which must be followed by 11 (since 2 is used), and so on. \n", "\n", "I'll redefine `adjacency_graph` to implement reordering with the function `reorder`, which uses the `link_count` as the key, but note that I have to reverse the results, because the stack is last-in-first-out, so I need to append the lowest-link-count integer last, so that it will be popped off the stack first." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def adjacency_graph(n) -> Graph:\n", " \"\"\"{i: [j, ...]} with i's and j's sorted by most links first.\"\"\"\n", " graph = {i: [j for j in ints(n) if i != j and sqrt(i + j).is_integer()]\n", " for i in ints(n)}\n", " def link_count(i): return len(graph[i])\n", " def reorder(integers): return sorted(integers, key=link_count, reverse=True)\n", " return {i: reorder(graph[i]) for i in reorder(graph)}" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{1: [3, 15, 8],\n", " 3: [1, 6, 13],\n", " 2: [7, 14],\n", " 4: [5, 12],\n", " 5: [4, 11],\n", " 6: [3, 10],\n", " 7: [2, 9],\n", " 10: [6, 15],\n", " 11: [5, 14],\n", " 12: [4, 13],\n", " 13: [3, 12],\n", " 14: [2, 11],\n", " 15: [1, 10],\n", " 8: [1],\n", " 9: [7]}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "adjacency_graph(n) # Reordered with the leaf 9 last; each list is reordered as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Will this new version of `adjacency_graph` give us a good speedup? (Note we haven't changed `find_chains` at all.)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 870 ms, sys: 2.21 ms, total: 872 ms\n", "Wall time: 871 ms\n" ] }, { "data": { "text/plain": [ "31" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time count(any(find_chains(n)) for n in ints(50))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was a nice improvement! Nearly 100× faster on this particular benchmark! \n", "\n", "I have another idea, which should give a small speedup. The idea is to manage a [bitstring](https://en.wikipedia.org/wiki/Bit_array) to represent the integers in the chain, so that the test `if j not in chain` becomes an O(1) lookup, not an O(*n*) linear search. Instead of a stack entry being a chain like `[9, 7, 2]`, it would become a tuple like `([9, 7, 2], 0b1010000100)`, where `0b1010000100` means that the 9th, 7th, and 2nd bits are on (counting from 0 on the right). \n", "\n", "I'll also change the `stack.extend` to a `stack.append` inside a `for` loop, because the statement won't fit on one line anymore. This does give us the opportunity to save a little bit of time and memory by returning a chain as soon as it has length `n`, rather than putting it on the stack and popping it off later. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "old_find_chains = find_chains" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def find_chains(n, circular=False) -> Iterator[Chain]:\n", " \"\"\"Yield all chains of 1..n rearranged so every adjacent pair sums to a square.\n", " If `circular` is true, then chain[0] and chain[-1] are considered adjacent.\"\"\"\n", " graph = adjacency_graph(n)\n", " stack = [([i], 1 << i) for i in ({1} if circular else graph)]\n", " while stack:\n", " chain, bits = stack.pop()\n", " for j in graph[chain[-1]]:\n", " if not bits & (1 << j):\n", " newchain = chain + [j]\n", " newbits = bits | (1 << j)\n", " if len(newchain) == n and (is_circular(newchain) or not circular):\n", " yield newchain\n", " elif len(newchain) < n:\n", " stack.append((newchain, newbits))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 539 ms, sys: 2.43 ms, total: 542 ms\n", "Wall time: 540 ms\n" ] }, { "data": { "text/plain": [ "30" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time count(any(find_chains(n)) for n in ints(50))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's about a 40% improvement; better than I hoped for! \n", "\n", "But note that the two versions of `find_chains` give **different answers** for *n* = 1. The original version said that `[1]` is a valid linear chain (which makes sense because it is a permutation of the integers from 1 to 1, and every pair sums to a perfect square, because there are no pairs). In contrast, the revised version says that `[1]` is not a valid chain (which also makes sense if you interpret the problem as saying that all integers in the chain have to be part of a pair that forms a perfect square). Which interpretation is correct? There's no definitive answer. (Likewise for the question of whether `[]` is a valid chain for *n* = 0.) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization\n", "\n", "I'd like to understand more about chains, with an emphasis on circular ones. Visualizations can help. The function `circle` takes as input either a chain or an adjacency graph of size *n*, and does the following:\n", "- Plot the integers 1 to *n* as vertices in a circle, in clockwise order like a clock face.\n", "- Plot lines between integers to indicate a link (the links in a chain, or all the links in an adjacency graph).\n", " - All lines with the same *i* + *j* sum will be of the same color, and will be parallel to each other.\n", "- Print the [*degree counts*](https://en.wikipedia.org/wiki/Degree_%28graph_theory%29): the number of vertices (integers) with each degree.
(`{1: 2, 2: 11, 3: 1}` means there are 2 vertices (leaves) with 1 link; 11 vertices with two links; and 2 vertices with 3 links.)\n", "- Print the number of links that sum up to each perfect square.
(`{4: 1, 9: 4, 16: 7, 25: 3}` means that there is 1 link whose integers sum to 4; 4 that sum to 9; 7 that sum to 16; and 3 that sum to 25.)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def circle(x: Union[Chain, Graph]):\n", " \"\"\"Visualize a graph or chain as a circle.\"\"\"\n", " chain, graph = (x, graph_of(x)) if isinstance(x, Chain) else ([], x)\n", " n = max(graph)\n", " fig, ax = plt.subplots(figsize=(8, 8))\n", " plt.axis('off')\n", " 𝛼 = 2 * 𝜋 / n\n", " X = [sin(𝛼 * i) for i in ints(n)]\n", " Y = [cos(𝛼 * i) for i in ints(n)]\n", " for i in graph: \n", " for j in graph[i]: # Draw edges\n", " color = colors[int(sqrt(i + j)) % len(colors)]\n", " plt.plot([X[i-1], X[j-1]], [Y[i-1], Y[j-1]], '-', color=color)\n", " ax.scatter(X, Y, color='k') # Draw vertices\n", " for i in ints(n): # Draw integers next to vertices\n", " vertex = (X[i - 1] * 1.1 - 0.02, Y[i - 1] * 1.1 - 0.02)\n", " ax.annotate(i, vertex, annotation_clip=False)\n", " def ctr(seq): return dict(sorted(Counter(seq).items())) # sorted Counter\n", " print('Degree counts:', ctr(map(len, graph.values())))\n", " print('Square counts:', ctr(i + j for i in graph for j in graph[i] if i > j))\n", " if chain: print('Chain:', '-'.join(map(str, chain)))\n", " \n", "colors = 'c m y r g b orange lime deeppink brown silver'.split()\n", "\n", "def graph_of(chain: Chain) -> Graph:\n", " \"\"\"Convert a chain, [i, j, ...] to a graph, {i: [j, ...], ...}.\"\"\"\n", " graph = defaultdict(list)\n", " for i, j in pairs(chain, is_circular(chain)):\n", " graph[i].append(j)\n", " graph[j].append(i)\n", " return graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing a linear chain for *n* = 15\n", "\n", "Below is the chain for *n* = 15, followed by the adjacency graph (which is the same except for one more link, the yellow link between 1 and 3)." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {1: 2, 2: 13}\n", "Square counts: {9: 4, 16: 7, 25: 3}\n", "Chain: 9-7-2-14-11-5-4-12-13-3-6-10-15-1-8\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(first(find_chains(15)))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {1: 2, 2: 11, 3: 2}\n", "Square counts: {4: 1, 9: 4, 16: 7, 25: 3}\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(adjacency_graph(15))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The adjacency graph for *n* = 15 shows that 9 and 8 have only one link each (and thus must be the endpoints of any valid chain). There are also 11 different integers with 2 links each, meaning that their position in the chain is fixed–there is no choice about what their adjacent numbers will be. The only choice points are the two integers that each have 3 links: 1 and 3." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing a circular chain for *n* = 32" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {2: 32}\n", "Square counts: {9: 2, 16: 4, 25: 6, 36: 12, 49: 8}\n", "Chain: 1-15-10-26-23-2-14-22-27-9-16-20-29-7-18-31-5-11-25-24-12-13-3-6-30-19-17-32-4-21-28-8\n" ] }, { "data": { "image/png": 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e4lgK2ZQCLFa5FngTi19PDeOXz2BlVOvFLyOxy+NJAh/T9ERNIo1+dqV7JYvFPu/C6aZYbPJ/lHTtmE8gnxPI/lUcZSPMkecbiVjrL5XuZdfgdpx2xjKBX8FiiGcBiwhkAoHsE6mlmaD6MFO5ncupxelMR7kLS3jaD5hS+GTB7MsOu3oeFB3FhhG/9GxAeKfpiZqE06xUczUtnH6H00OwOsDBmGPeDniFQBYSyB0E0qScTzbGZqf5xjbhtvIen6Vx+jVOD8QGDhdiyWB9gNcJZAGB3EYgjbJuaaaonge8xXI25wS2wGlz4IAlKxpPE6H91UcNa7X68Xpa+ETBpzqylGiCxxMz3ml6ombLcBtdpqrNvG7FaSfMSb+GJY2cg828PiGQPUt9oh6QVhJRxKTe4zOBSd7dhNMOmOTdWEzsYhCwmEA+JohOzi5N9sbkAvdF5CY5XjdvetqSLVue/gdvTdlzYp1aa5cUFOjBZNYxxuPJKt5peqImkfGZWQuuZHE6Faf7Y62uLgHmAn2Btwhk/rJn5I76axHg18oOExObhdvM1IBM8m5fbMn2MkymrR/wTih5N6KM5F1cWEJFr7UULDmSZ4eA3gmsXbh8owP2uu6t7XHaDPg7lvDVBUsYWkkgo2LWLfbUYHwikCdSBHkPK3SPL1M1kN5YZ5H+QK1C4PsmzOu2hCNx+n4sNpWDIG8BewKNFV2W1YMHsj12DXYHamHatx9iZSsfpWRnFhNuRGhWl5VfraZ+x02Yy3AuP3Cg/ueVcuxvjdV9HoOtIoCpX40A/oNT9YlAnlzgnaYnUvIqUzWQOq+05fnt/uSQjVdCuM73B/Af4EqcVi7AEDGCTAW6KxrdClAg9YBLscSpNuGrv2M9Wa9N5hpkyzmJ0Bd4G2i4CXOn/EyHHrUpWgF0RitRPzKRi8spkUNcCbzU6Sf2/Xmtd5qeaPHLsxsoedTJPn8yVZ2uObA/37U9HIb0YihWKL8RcDEmGP9uKAMXFy2pSjkpU5yuwukwnG5MQifWzns5sIxAxoWz0kgR4RxgPLaEfO1cbbtNbYquwBKavkCk4kGW02fCjjEJ3eIi4OiZXWj2XWeaEMg/4op95tF954kIP9PcAEl0st+oMQ0XLC1+OZZO9oKsABYq2jaX560IQZ4DjsRmdNPCmdcwYCDQOtztN6zn5TW43C0pC7IMWK5o6yp3ziYW37wCU18KG7nxK3APcMO61yCTmWZYf/kc1vd1NXCoKq+V2mEUcDgwHtWdUvg/nPj9ah7tWoeC0F2uwHSLL8Dp3FTtTIfEfQc07ERxX7JY7jtPdHinuQFinezp/P0oaL8aXvwQLghg9oLcd7IXpAj4WtG8aHskyIfAzkBtZR0FGmtpdQOwEyVi4+9gD94q5d6yYFsh8IOif6ly56iwDNvrsV6ZiWswDrsGX0D6TlOEFpjO6uaYU+6juk5NqjUm+Apben0I1dOSPv5VsrBjbZi1Ka8Bh2LJYGAt6K7G6dOp2Jsqifvujfaw+xzYRotTxnN+33miwy/Pbph0AhjX2pTKjt0JZv0bvrmJzhG33CqDII2w0GHu+1ZWzMZA4XoOE8DpBzjdFavjvBlYCOwFTCSQOQQylKCSZcMMEKQOcfX4LI3Td3G6M9AUuBWrZ90bmEwgswnkotppHFaEflgd7eaYE+6wnsOEREbtDliD8FMROTuV8/y8FnB6LLbsexqWLLQV8BSBLCWQh8OkoijoBPBEL6it1ruscanXPRsGfqa5AZIY8bIamAUnnQxDD4Et20K4dBVJy6317ED6AR8Djyk6IKrzpIIgfwD1FC1P9GB9rL7zOqxsJSH39hYwGKdZaxQtSE9gMvCUovkVBzN1oWsw0QRZo/DWctbu14ieOP26qo+LMAhzwAIMV6XqdmwinbF61TrA31AdV+VHKpoBW3nKzcDBlOgWf4Ulf42u0pYkKb7vLoab34LBE8xjbwkzC/1Mc4PBzzQ3TIZSwHJqA/Ph8feh2wUs3+d6/g/T84yq5da6JLIbs68GlD6pqQE5HYfTfkAzTDh8KbAvMIVAfiaQIVmafSaWr5NXA8oVTsfitC/QArh7eRHs14jawFQCmUkg55WXeCOCiDAKuA3Tj90/KYcJoDoTE6YHeDV0ounaPwOnR2LLtWdj13gbYBSBLCaQ+wmkRdrHL2EoNiBlyF7wBjatnp6f6lOeNPFOcwNEVQMOYigCzEEJO9m/MUXvKrV0dTo2EN4aeDpcunqIQFpWfOSUiV4NKHXqko4akNMlOB2E0xbYw/xzoD3WeWUFgYwhkG4Z2JW+GlCucLoIp2c3n86iQ+ewDJsZd8RmkSsJ5MWwE0sifvkDltQzF9isTMJPMtjschD2nX2OZCjIYMpRd+N0M2AL4CXMkZ6O6RZPIpAD0z18mOwzEIuKsB/MXAzzOsM2iNycke2evME7zQ2VF5kJwGH8W1W7lMnes4fHgzjtiin2jMaWwU4B/iCQLwjksCxYkVADyouelYK0wJYIM8umdPoaTvtgM697sUzNA4FvCGQGgZyTRslDQg0oN8pJGfLSMtbitDeWbfsAVipzCPD9ikcb/HLW3nf+CkWbYUvZHcuNXyaD6r+Bh8PzTAgThTLH6Q84PRSTVDwf+BnoBYwJdYvvqkC3uApzNaA+i6nPokLVLk1t4LgEGIzkLp/AEx3eaW64JGY931e6ly1dHUHJ0tUMTLv0vwSyiEDuy2Dpqn24zZeZ5rbh9uesHM1mXmeGcm+HYr0tO2PLuCsJ5L9hH9Bk6BBuq4XTLMbpnzg9A6dNgSN+W9Rmbv06K9vdNeCcumser1uoI2WhjpSOGZ1D9VQsr2ZrrFwle9gA8rZSHWNexRSHEh1jPiWQv6V9fNVFmIThWuBRRPpkwWpPjHinueGSaGJcZaIGUHrpqqKWWxOTaLm1LhVnqsbDVuH2h6wf2elLOO0FtAIewmoQDwN+JJAfCeSfVcw+NwGKlHhVidJFBJHj9cRNzvyt7cb/+nX1d792HVu7VuFKrB7zJwL5nkBOzUB0YBdsheAIRC7PmuGlsY4xB1BWt3gH4I2MOsaofo1dhwLgPUQ2zqLVnhzjnWYViEhHEXlbRL4Rkakicm74ei8RGS8ik0XkMxHpG7et65AY3X+Z8ifLb7nVm5KWW3cmuXTVHFu6zBcSMdZpkZ3B6XycnobTJsDRmPj6ZiSWcQN5lqDcmddGRK0GFBFh/PJHbJAw5/clG3fZ8vzv98VpY+A4bODWFZMrXE4gAYG0r/iI5aBaCPTEfk/DkayED8rHOsbcgNP22JLtG1gJTqJjzEcpd4xRfQkT0WgATKpU8SjHiEgtEZkkImPitqU64J1m1awFBqtqd2yZ5SwR2QoTv75KVXthN8ONMdpYHm0BVTT9FlhlW26VXro6m/Jbbq1LvvWtTNTL5arjynOh3NsmwGOYUMBRwCwC+ZZABpSaeTXGYl/VChF2xppmbwq8CXRSLRUzdvo0TrfGJO9GYkkyxwGzCWRaSnXDpke7Gyab9zx2H0aL0y9wug/m7K7AOsbsRDodY1SvBp7H7s0PIrI4Hc4FvonbiOqCd5pVoKpzVXVi+Pcl2I+rPXbzNw13a4Y1/80nWmJLhNmh/KWr4pZbBHJLOUtXdbEi9XwhMbv5MadndfobTgfgtBFW6jMNm/U+gum9jkSpR35dqyoR4Xzs4d8AuEqVvVUpfyne6VycnoANugZgce6/AI8TyDICeZwgiWVL1c/Cz9cCxiPSLAv/lapxuganw3HaFlNLehdbSbkQWEog7yWpW3w0Nmjrh8hD0RmcHCLSAUti+0/ctlQXvLhBCohIF+A9rKauPfA6lo1ZAOysVluWFwiyBFitaDZLSMqyTsstbAYwHrhYHF9iijpvKLpPZDakgCDTgY6K1onblnB58ibg78sLqN/oGNhxPsvHj2UgLr91SuWKWgt56oWGfH9wHWxJ+SBV3kz5QLZMfTOWdZuQvJsKXIXTyhN+rIRjMJa4thkaQ2sw0y2+HCtZSagMzbt+AU2vnM+qVRXZIVIPm523BM4NM4RjQUSex2QTmwBDVPWguGypLviZZpKISGNgFDBIVRcD/wLOU9WOwHlY8kc+0QBzWtHhdBJO96bs0tXOwHtvvskMgFpFaZYaREP+xFid/oJTBzR8fFOuRqDrYhoCI8Oa2UcilHtLGxFacsePTUKHOQfYNC2HCeD0Z5weg9UNn0FJ3fCzBLKk0rph1SHAWKw59di0zp8p1jHmMpy2wXrGfgC0umQj6i/rSrMKO8aorgK2x1aCbkcqDXFEhogcBMxT1c/jOH91xc80k0BE6gBjgNdV9dbwtUVAc1VVsdqxRaratLLj5ApBamGx2PFKCp0iskEgfYEb7+nKrmf1pdbVX1B02VQ+AC7C6fic2rIOgqwC5imaWQlElhFkAPBIu+Xc8csLtMfk3uqFb0/B5N5GxWVfAhF2BcaCNqDLuLXM2Kt+hcux6WIlOjcBB1EiefcFMAynL61jkGCZ0JsBt8uVnAwx99MMpMFtf/LnSU2p27JWomVrBR1jRPpjdaxrgL+gOiOXporI9cCJ2LOiPhZuGq2qJ+TSjuqGn2lWQegQHwK+STjMkDlAIoNuT6qqh8wtW4Tb3M/ynH6K0z0Gbc9dAF2XsARL3viYQH4lkKsIJK7l0bpY0+l84y8AcxryKU6PwmbuZ2Jybz2A50O5tweyJPeWMmH88j2gAbtds5IBf1uWdYcJ4HR6qbrh/8OWX3sCL4Z1w/cQhHFMG/H3wpLNBtVdW+xk48PpivP/YGWr6SzGngvjsdKr4Vjm8OsEsg0Aqm9j/8fsKB6liKpeoqodwg4sxwLjvMOsGu80q2YXbDS2Z1heMllEDsDksm4RkS8wQe/T4zRyHbYJtzPiMmBNLSt5OW5X+lCydNUayzReQSBvhjHRnCAUJ5nkpLdiipRVTrKs5XtLyb29iDmRgWRB7i0VQv3YF4FbsOXEvdlzWPSlMXYN7ipVNzwGG0z8C/iTQD4nkP2x5LwdgbUN1tKgVhF5U8qB07dxuhMWL7wDy47eB/gy0TGGkdyH9eDcCPgsa4pHnsjwy7MbIIJcjo1sz1D0gZhsGE/Yk1EJf2SWmj8cOJmSZsdzgbuxpavIRBAE+RtWb3e/ov+M6jzpIMj7wK5AXaWCptdWmnIuFj9PlM4swso4huJ0UdbtEloCn2FxwzlY/8u5OU+4SWDX4DysXjKxxL4IeIwhfNj8HzwDsPAGNkGj695TFZVen0D2wzrGbIclEa4B3uBS2jKD3sBoVI/IobmeFPEzzQ2ThHRbcmpA0dAGWFvsMAGcrsDpBThthfWp/ASrYbwGk517jUC2LvdomROdGlDmbIypAZXvMCEx87q9lNzbK1gCzZnYzGtC2MIrK4Txy58pSbTpUKb+Mg7K1g33AF7DSljO4WaefrMrRbtZ0dNkJLYQQOWU1S2+B+uKcgDX0Jt/U8h+HE4tGRavkZ7K8DPNDRBB3sScUlNFYymYF2QBUFupIjnKlIWuBk7CHiRgCkR3ALdla/YpyJ2YKMMhiv4vG8fMFoL8DjRUNDWJNmtJdj5wDiXatX9iQgqX4XRZWvYIFwAjwn9eocrVZd6Pa6ZZHnYNLgD+T5V2Itgi6Gf8Sn82w2nOs6VTvj6BHAJchdITQVgDLGQCrXE4zcdBXo3GO80NEEGmAFspGttKQpip+ruiHarcOUH5S1djsWbZGUnfCfIiVg/YRcmfeloAQVYACxVtm/ZBLLnkZiz5pDZWM/spcDFO303KDkGw+OnBWP3lAaqs1/w5r5xmKfpcL4tvak2D/vWpTQEmPyJ8hF2D93NlR9rXJ5CW/MGDNOLvNCBh/09YNvF9OP+wzge809wAEWQu0FzRnGbjrWODAl8o2ivlD1t25HWYek5ipjoT69t4ZzoPD0EmAH0oHWPNEwQpAr5WtEeVO1eFZSZfiM2qNwlfnY9lgF9Z0cwrjF9+jnVp+QXYoaLl2Hx1msV2TaQ99ZjHHjSkGYSFH39gqjdX4qIVxc/4+ogczw48yZEU0Z6C0P5VWBOFIbj8GvTVNHxMc8OkCZDW0lw2EIqL8tOLgVnLrbNKtdyaTNmWWy+k0HIrQWtgTR46zCbYY/3XrDD+ljYAACAASURBVBzQ5N6uDeXe+gDjKCv39j6B7FzGBuGv2JJ4Z0zlqmPs8ctMeFGX8RzdOIvVDENZzJdYdurFmGzhO2E9cX6iOpIJ3MhFFHA2s9Bi3eIjgRlZ6BjjyQDvNCNGRJyIzBCRonDrcnDa+lhsKy4SJS+zMj6StdzqTdmWW4eSfMutBM2xpIt8I3GtstPjszROP8fpXliyzNXYbGtX4EMCmUcg17RotOASTEe1HjBMlf1UyauBRVqo/gzsw3TgX3TnMrpjqxcLsPrqT8K64StjrBuuGNWLgNdZSCdOoEOoW3w8pn1dbseYmJ41NQ7vNCMk/NE+iI3gJdw+GOWPWZA6mA5sbCn3RJGpun7LrSms33KrcyVHaIiVJ+QbiWzh6ZGdweTehuF0Y6zu+H1VWgKX/n5fm+vevmx3vfLwYWeum/BT7VF9F2smXYefGM/xXFNK8u5DbPXhCmKoG06S/TFpwb0QuR2nAU63wpK+EvrExwGzFz4ov5y4Kw+Tw2dNTcU7zWi5Dmg49g2487+wrVXXNQxfj4pu4TZOzdeEIlE0fSut5dY2rN9yawaBfEcgp5SefQoiQB3yUw0o+h6fpXH6kRyvRzQ+ZcnsG166kEUrmhbt0f29giuOuPpeAplLIJfn5cwrXVTvBR7AMrM/R0Rw+gFOd8Xasd2MDab2AiYSyC8EMjTMyo0XSzjpjSkenYvIACChW3w89iw5Ffi+WUPaHb3jAfUa1VvM/tsWS9lG/aypkXinGS2dOncHETh7OUy+DmbfCRcdRKcIb8rEct9PER0/GbqE29QbYKdC+S23tsCWca3lViBtsV6OkH/t26DkWn2Vi5OF8ctZy1c37nTJMyNea3XGgtrAHsDHWG3tcGzmNZZAeubCpshRPQP4COgO/Lf49ZK64ZaU1A23Ba4l+rrh5DDFox0wfdiHkFLtx6xu9WGcbtn8tOv04FvGsHx1Q2bN71L6CJ3wZBXvNKNl1sx2sPde0HsNTJgObZvDDcch2E35CkHWG+n+Jdx+l+XjpkLCSWUe00wWpyNx2p2SpSsBHDDnuff5KNwrH7MOEz0+I9cuFuEiSuKXl6myvyqK03dxujOWqXwrNrPZG5hcLPeWDzOvzNgNGzQdishV673rdBxO+2G9cf8NLAX2BaYQyM8EMiS2a6D6HXA49rx+G5Hi0iQRaonw7uKVlwgsQ7UfU395uPSnc3cP1hC804yWoWxjjaAnfwU7DoMWA1k+4Udex7Jb9wemEshMAjkvS9lwiazSKVk4VrrEl6laztLVzEY22r5xIgMJ5NE8a7nVBihUIpQQNP3YMcANWCLVXqpcu96OTpfhdDBON8IcxgRsAHQDNvuMYpCXG1QLMXH35cAwRMqXqnO6BKfn4rQFdn9+jg1sbsKuwf8IZMtyPxslqv8DLsWS/CYhUkeEzthAYDdY9Ct0XG6qh8UsB4bm3NYNHO80I0RVAxxvAzANBWYuXsnAHS7X/XDaHGt/NAnT0bwVWEUgLxFI1wxOm9DkzMlyXwU0I+5M1VJLV9dvxeMAWy9CgH8A8wjkK4IKHpy5JdIenyK0xoT7DyQsK1ENf5OV4XQsTvtiscC7se9zf2DqrC40GdKcetWu5EH1dyx7uBB4BpFtKt2/rOSdJZzZPfstgcwgkHNyeg1UrwOeATYeyXFTsdWJNvZas3awcCC2mqLhdqBqfjc0r454cYOIEeQlTGGlk6LllxVYu6frseXEJuGrP2GdJe5JpZhfkG+ALRWNbTlNkNXAr4rmRTxFkDHAgfXX0m7FsxyKya4lZuRLgaewfp85L9MRZCUwX9H2Ve6c6rGF3TF91vqYVu1BGZWTWGeVa4qUXgXmKlaHxx+cD3JvSYsKWEbpSOy774Sm8L2b5N1wrF0Z2DV4BbsG01OyI03OlLt/u5cz2wiKUnC2KndHcR5P+fiZZvQk4nuzK9zD6Z84/SdOmwJHYAk0mwJ3YUtCzxNIlyTP1wK7keMk3zJV2wGsqK1zcXofTjenpOVWXcq23Do4x7bVxRR7sooIFwNvY/HLS1Q5MOP6S6cv47R36+ksemgRqzGVmkOA7wlkOoGcVS1mnzb7GoFlz05OqR2X1Q33omzd8GFY3fAPBBJZi8AwfvnevZzVpiHL9RN2RJH4e4jWMPxMM2IEmQG0UzS1H7fF3UZgNYkJIe8fw9f+U9HsU5BlwDJF26RrcyYI0haLs7ys6EFx2LAugswCNin3O4ih5VYpu1pgxfZjFd03K8c0/dgxwAHASkw/turl2FTOUXomFcjhwJWUZG2vCs8/BKczsnnelOxK6gPyCrbk/Daqe1a1e4UEchRW77k1QPMfYY2yZllXNsdVsLqUImH8cgKWL/DdY5z095N4YiI26NoP1bHZOI+navxMM3rSU6Jx+jtOT8FpY6yA+Wtgc6zmbDmBPE0gHcv5ZH3sQRwXiWWrfMpUbUZFsoJlW251B16mbMutz7LZcmsdtg232Xqwtsau+wHhMTtl22Guh9PRON0Wi609gpVGHAH8VA3k3g7EBqL9Ebkz7aNY3XAPrG74CRTqCHWAWQTyLYEMyOQaiISzeXOYTwHdTtLHv8YynAHGICnLSnrSxDvN6Mlcicbp0zjdGltmfBIL9B+D3ZTTCOREAEHqYd9pnGpA3cNt7DGuUjQEFla5l9NpOD0IaIBptf4CbA+8TiALCOR2AkmtfVflZE05SYT+WHlBRyzG1lmV3zM9btKUP8grLff2dELuLW8oEQ9YBJyNyKkZHc/qhk9apCxaXsRyrG54S2wwsYxAngzrhpNGhBFYGKEWcKYqrniZXfV9bHBXB/gMkdgaNNQkvNOMkKwr0Tidi9MTseXaAcC3WF3m4wSy7KsxjG5kbYwrjp9GTyLz95sYbSgm/A5qQwoOxGkhTm/CaUdsNjgWS9A6F1hCIB8TSP8smJcVNSARhgJvkc34ZSaUHeSNpGSQN7v0IC8vMPGAvtgM+QGkrJh9uqyBNaXqhp/C6oaPB+YQyNcElcvbiVBHhPdJCO1DX1XuLcf++7DM3hZYKUq+zuo3GLzTjJZolGhsSfExnHbD4nDPAAU9FnPAnP/CB2PZm0COyeo5kyeh//pFTOdfl4Q96X0HTr/C6b7YsvdlWDeSfsA4AvmDQEYQpD3C7xJu01JOCusvX8EUbFYB/VW5IU1bso8N8k6ggkEegTxOIBvHaSKQEA84DHsevlVaPCBjrG7YYasdp2GrCt2BkQSylEAeWbduOIxf/oKVx3wLtFPl80rsPxP4ALu2L2TNdk+5eKcZLYmYVXTxPac/4/RYoOH/bccrozvCjvNpDTwd3pQPEUjLyM6/Pu0AFM2X1lKJ72BGRkex2ee1OG1Hki23kiDxcE5Z8lCEjbHl2P3DbSdVkmo2nXPWH+Q9iz17TgR+JZApMQ7yDNWXsdZh9bGM2uzq79o1eAinW2CDpeexFZABWN3wlwRy+DrxywDorsqSJM6wB7bCdAgiw7Nqu6cM3mlGS+7ie071rm4sOnkn+NcOHAiMxpaGTwH+IJAvCOSwyO2AlsCaHJwnWRKygtnsuJJoudUAq9lbr+UWgdRL4khtgLWpKieF8cuZ2NLfy0CXnMYvM8EGecdgM68zsEScrbFB3pIYBnklqI7AllLbAOMjO4/TmTg9Cvv9nIkNmra5YOSNo0BfFIrqtGn622BVjk96mb2s4tHliBwVlfk1HV9yEiGC3AP8C9hXiT4lXJD3sLZH9RVdFWbsnQkMoWQpcDH2YLgkimJ+IUz7J5rC7lQR5H7gdGAvRcdFdqJA+mHlQLtig9FCbMlsCE4/K+8jgiwAaivaNNnTiHApFLfwukSVERnZnQZZL963huI3YWo7ibKgL4BhOH0p53aJTMIc0JOophx/TdUOEeo0qLts/IrVjbZrXG8Jb1+2B302m6jYNbgMpy+nYHtvrDQFoDeqcSqDbZD4mWa0JOJpufrhtgGKFF0FJJaE7sbpptiM63/Y6PYMrJh/IoHsn2UbkstUzR2J2stovwOn43G6O1YwPwJrAr47MCFsuTWsnJZbjUgyszqMX74KXIPFL3ePw2FGgtPpOD0CWxr9P2wpvSfwIoEsIpD7QtWsXNEPSxw7AZEhUZ5IhC7ALytWN9oO+LZWQWHTPptNPA8rGeoFjCGQhQRyF4E0qexYAKhOwjr+1AI+RnJ63WoE1XKmKSIdgcexuqgi4AFVvUNEnqFkOa45sFBVe8VkJoJMBHormpOMNkHmAY0Urbgswmaf5wGDKNGpXQQ8gRXzJxM/qej8gn0fnym6Q7rHySaCTAZ65uo7KEMgu2PyiDtSMvscB1yA0y8EUWCyopU2Pw7jl59hy7GzgD5xLsdGLRMHEIqi34IJx9fBMnAnYTOvVyO3S6Q9tnRcFzgA1deS/miSdohwGBbfrQOMVOWEMjuYOP5NWD1m4hp8DlyKq2LlSuR6LEY7C+hCnjzoRWQGsAS7F9aqap94LUqd6jrTXAsMVtXu2KjwLBHZSlWPUdVeoaMchcX14qQVuY3vNYEqkgZs9nkrTjthsaRXsRnP2cAiAvmEQNJVR0nM6vKpb2Ur4pIVXL/l1iLCllu/jJa5AKL8WtkhRNiTkvjl/6hO8ctMcPodTg/GymgGY0ku2wGvhDOvO5KaeaWL6i+UiAe8hGTURGE9RLgZ6+1ZCzhjPYcJ4PRrnB5ISd3wHCwJLVE3fFuFdcOql2D1up0gYoGL1OkfPqerncOEauo0VXWuqk4M/74EqwksLpwWq1U6GovdxUnFSjTRUI9U1IDspjwAWxa7BJiL1ay9RSDzCeTmFMspspOpml2aYnVu8VHScqsl9iCeMLU5GwOc9gP7VNRyS4TLgTex2c6FqhwSa/1lHJQd5PXABOIbAeeQ+SCvckw84J+UiAdkLGwR1l9+iA0ElmKrBg9U+qGSuuEOlK0bHgQsDuuGdy/nkwdhmbi7I3JXprZ7jGrpNEsjIl0wVY9PSr38V+A3VY28sW8V5Cy+J0gjrIC60plLudhNeQNO22Oj+Tcxh283diAfEshfkzhSt3Ab93UvTX7FWJ2+idO+R+/CRQCbLmU1JX1VZxHIee9ctoeI8DqWmZuIX94Uo9X5gdOpON2fCgZ5t7WifsNsn1P1AeAe7H6YmIl4QBi/nAPsjAlatFNlUkoHKakbbojVDc/DVtveWa9uuKzi0VmIDEzX9iyiwFgR+VwkOnH7KKnWTlNEGmPLsINUdXGpt44j5llmWko0mZEQzM5MDcjpJJzujS0JXYHdlDsD7xHI7wRyfSXlFIklrK8zsiFLhN9BLez/kFcsqmdL2UN7cyQlfVU7ALfuvOVHRS+ef/A+3dp+/QvQQZX3YzQ1/6hgkDeoBfUWd6VZCoO85FA9C3gfU3BKOpu3NGH88jssXPCkatL1l+XjdE1YN9yWyuqGVZeF768B7suW4lEG7KKq22EDxbNEZLeY7UmZaus0xYqPRwEjVXV0qddrA4djKjlxkpkSTepsHW6nZ+VodlMOD2/KHYF3MamuizEt0XfDMovS5CZTNXm2CLe/xGpF+SR+H1PCllvb7XTFh4c9MO60wpVr6nPI9mP4+qat2+tImVBtWm7FQalB3jXzWflHIUryg7xU6I8NSA9C5NpUPijCLZSNX2ZXRrCkbrgRVo5Utm54JANoyBHY835cmOQUC6o6J9zOw65J37hsSZdq6TTDmOVDwDeqeus6b/8NmKaqceqvQu7je1nRMS0Xp5/idA/sprwO6/+4G/AxgfxKIFeF5RRtARTNl0SVHuE2nzquJEioAc0Ci1+O/2HnF8546MGCZqctvgA4QmS9vqqjUuirWrNwuubyBaza5CcWUzLI2wgb5C0jkHcIJP0HdIl4wDJgKFK1glEYv/wIOB9L0Ks6fpkJTlfhdBhONwZ2wWbHLYFLeZD/chA/YnkPk7KueJQEItJIxJK3xOLD+wBTcm1HplRLp4n9IE4E9hSRyeGfA8L3jiX+BCAoUQPKVXxv03Ab3SzPbspLcdoGixt/gMl9DQNWXD+Jbu2W5ZUaUD7GWBO0BtYgSqn45UpgN1VuDltu9aRsy63DsZZbPxDIQD/7rICSQV5DbJC3AKuZ/SQc5F1ZTs1s1ajOx549hcBIRHpWuO/8rgXYKtNOhImKKccvM8HpRzjdjZK64YUcx+bsBEBrWjAzrWuQGRsDH4jIF8CnwMuaQilPvlAt6zSrA4I8AAwE9lQ08pRvQT7AbujaihZGfb5iLOlgOHAy0HKtQG1lLjY7GoHLoS3rIMhDmIzgbormVVxQkIUUSQG1ipZger0zsJnI/Ao/FMixwOWUtBRbibWNuoAsNTtOhpzUaaZBpXYFsitwA+bEEjWz72DXLjVnZrPMp7FZZ+fQmZa8fdTRSxk9shFFdcDil/nR1SVRNzyUnZgJ7IRyNm8S1g3HbF21wTvNiBDkVWA/oJWiFT8Is3e+74FNFa0d9bkqYovFsnbQNNae9QN1sUzetVjLqsE4nZprewQZi5V4NFc0s56mWUaKCtYwu30tOv8sWHLJYUmXk1hPxhuxZs+JkqBvgWtx+kQU9pamWjrNBCWDvFOw5VuwGeHdpDLIs7jmUCzO2SVcvkWE20AHIUWgtU5X5cE0/zvR8S9pxiPMZRUNOBY4GLC4/53AzXEOdKsD1XV5tjqQiO9F7jBDWmAzj1gQRH5oSq2z+zIZS8+/A4vj7AtMIZCfCWQIgdTKoVltAc07h1l7zTBEa/N7GwEGq3JoSvWXVfRVJZAn8qLlVj7idAVOLwhrZvfCStXaYu3VVhLIawSydaXHAFC9FBiDZTy/HcYvPwYGUXcpDNxhSV46TIB7dRGr2AJYxdPAx3yHrXbcgMXOy60b9hh+phkRgswGWiuajcy9ZM63EvhT0ez1Akzt/F2x2OFoRY8ofiOQ/TC91O2w2ecarDh7CE6zn7RU1qY5wEaK1o/yPMkiggCv02723vzSEX7d+EPd5Ndds3LwQDpikmuHYnWMAFOBq3Ga1Uzyaj3TLA9TFroGOAkr2wCbQd4B3FbhzMsSEr/5kU3/0pMvVy6jcX1gKhc36UD9pXl3fdZDZFcsYaqQrejLpZyG6dY2C/eYBdwO3I7zjiJBjZ5piogTkRkiUhRuK+2mniK5VqKpC5XEw6Kn/Gxhp6/htA82E74HWAEcCHxDIDMI5JwIE1riVwMKEaEt9iDem76fmgDFJr9NztoJSvVVxbq6lG65tZRAHl632bEnxOkSnJ6L0xbAAcBETGHsJmzm9b9QC7csqtqaeVd341uW0ah+LyaOV6UH9fPiJ1c1qh+QUDz6mnc4notw2hyrG56MaVPfis3AXzx8BzkvwudltaHGOs3wC3/w5Avp3HkfBKubezCLP4RcqgE1w2ZxcTZ+rjxT1ekinJ6F02bYbGgyds3vwG7KF8IWUdmkPtZtJFZE2AcbTLQDXmTUEQl1n+z3WTXZuQdx2hXLqE70VT0Za3acq76q1ROnr+J0e2yQdy82yDsI+HbdQZ4It/9B6yfXUrvoAU4vnMT2OyJZFFXIBaoPYvHcEsUjqxvujZWrPICpUh0yahC3Tr+NzmfuHcnzstpQY50mcF3tAho+0BN++gd8fwuctgcNCyxFPSNiUKJJzPJylkFZDpuH26oTfpy+FN6UrbB629WYI/2RQH4kkH9mOvsUpBb2HfyWyXEyRYQrgdcxxzVYlcMoKFZOinR5GqczSrXcOhtz3NsC/42p5Vb1wQZ5Z5Ya5H1BOMhbubbuym7tvlkAnAssBtluIP85KPzkG1JE9SoFUj0bW6bdEmsKYDj9E6dn4LTpcXcx76uf4fAV8FF/OGEXoKSkp0ZRk51mp7VFcPzO8HVd2HxjeHAgLH2EzgTyNEFGqhm5VqJJJC78mKPzlUeizdiXSX/C6XycnobTJpjA/hRgMxIj/ECeJZDOlR6jYhIt4mLpuCJCLRHewKQIVwC7qpIQ4kgoJ+UmzT+evqobDjbI6wW0mvBjn2fbnzmnzrdzu7fYusMUFj3Y5HcdKTsyktcxCbt6TVbTpBrK6vfHYpgHhm3FyvD0x7TueQlMXgzTVsCTHxa/1WndfTd0arLTnEUneLYL9KgD7c6GJ6yST4FjgNkEMo1A0qmxSujAzsiKpVWTcNLRzlwqZxMyyVR1+hxOtwmP8xhWR3cUMINAviOQU1KcfSa+g5/SsicDwvjlz5g61U9YYftHpXZpB6Bo7pfTreXWIZRtudWbkpZbd0bacqsaI8frnn2HTTh8wbKWslX7qe9MGbHN1KYNl24O3A+sYCR9ac9oAWm8msZx25sSlhGaUDy6GJFj19ljVuIvK9eU/3pNoSY7zaH0Cks0ZsCvC+Gk+1je8GROwLLoMknjT8T3vsu20RWQmI3Fqfnakmz0rXT6G04H4LQRlsk3DRsUPITJoY0M6xSrIjHTzNV3AJSJX7bF4ombq64XV811n9X1ibav6gaHCHdgDaMLgFOnzt66P057YIO8J0gM8m7k8AlbwonNqIXI0zGanDqqf2LiD4XAk4iUbo4+FFi+zieWh6/XKGqs01TVgIFhk+rpKKZPOlBVA5w+gdNu2NLDM9h1OgH4lUCmEFSpO5mI730TjfXrkVhKjlMuLvuZqk5H4rQ7VgsXYMlODphDIF8TVJqEkEgqypmogghXURK/PF+VIyqov8x1n9XKqbqv6i0VNjvewBGhngifYP07FwO9VHm4eAcb5J1UepDXtS7c0xF4mGO4WiYmOcjLD1S/wrpE1QI+QKSlvawBpnCW+D2XPC9rGDW6TlOQ+7C4zt6KvlnhjrYseBpwESUOcSk28rwQt46MVo6VaAT5EegcpxqQIGuBGYpmtcN9Gex7OBkT4U4sSS+n5HsoFooX5C1gT6CxopE6KBFqYbWne4b27L3OcmzZ/ZE1wGxFN61on9gJpDemOtQfe4AWAeOBi+V7SxbJtzrEbNePitAVEz/YCBt87aha9WCn47Wy8JaWNDy6PnWoi7kZ4RvgGlw1cTIiwzHJxrKKR3lao5tLauxMMyS5Vlbrp/GPwuoiTwH+KCeNP9dKNM2xZJNYyFmmqn0PD+N0S6AL8Hx43gFYOcVXBJIQVkjEWKN2mO2x+OWeWFu2DlU4zFz3WU2PSvqq/r4ZTW9sRf0stdzKS0Q4Clsp2gh4VJUeyThMgNlr4ZjfWM5AduFBivgNULoDI8Oa2UfyvmZWdRiWMNYBiFw7uzpR051mQuou+Ye9pfEfSUka/0+sk8YvSiuyEd9LnsbY0lFcJOKHuetb6XQmTo/CHur/wr6HHsDzBLL4n9/RpcEaVkVpggj7YY6yLTaQ6lpO/HJdct1nNTPK6avaogC5oAX1qLivarWmVPxSgJNVOTmtA63Rj3iH0xkMDGIxa3gBGzANwAZ5XxLI4VkyOwoOxXI7/orIPXEbky/UdKeZvnMrSePfjHXS+BuuZZNmq6mVwzT+uljj2biILVM1/B7uC7+HLbCuH/Xu/YyGc16gPoFMIpCDs31aEYZjyTN1gPNUOTJJ/dhc91nNHmHLrcY/sOjGBayk4r6q1ZIwfvkpJfHL3qo8mtFBVR8C/s0fNGUA2/A1DYAzsXtlG2AUgSwmkAfyrmbWYnfbYwIh/0LknzFblBfUdKeZnYSMsmn856+oBa1XUpscpPELxcs8caoBxZKpuh5Of8DpYUD9/ntS9H5r1mJp9C+F38PdBNKsiqNUSlh/+RYW71kO7KzK7SkcItd9VrPOSuCi+ayqqK8qgbwZxkSrDWH8cg6wAxauaaeapWx01XMx8YDNuZaXcXpvqUHeS9iq1UCsZnYSgRyYlfNmA9VlQB8s2/ue3X8ilw0X8pKa7jQbkE2pO6cqjn8XFcDcBkwiN2n8iVlenPVSOc9UrQxx1H5nEwoO2YOPMSf1MqZecibwJ4FMIJB9Uj6uxS9nY/HLH7H45fgUD5O4VrnKrI4Wpx/g9K9YiOBm7H7aC5hIIHMI5NIcd7ZJGRGOoSR++bAq2yYbv0yBhHjA/oiMABKDvEOxwfZ5WGy8FzAmHOTdlRc1s6rTMSlBXn+Sxh1zIg6av9RYp1kqISPbUnfdAJbV4fsq0vhvDnv7ZUqihU+cakAdwm2cdaKlSVyT2TidhtODsAHShVjctQ/wOoEsIJDbkimnEGF/LH65CRa/3CKJ+GV5JJd8Vt0oabnVipKWW5tg3UOSb7mVY0S4C2sonYhfnhrJiUrEA5YCF1Jas9VCDLfjtDNWM/sKNsg7CxtspzXIyyqqY4EhdQth4v00RTbcJLCqqLFOk5LSkWwnr5SN7zktxOkNOG2Ptcd6E1sWHgwsJZAPCTISeU6UeMQ5c8lJpmoK9Ai3JTFW+x5uwmlHLK44FmgCDAIWE8jHYWf79RDhGuxBVgc4N4X4ZXkkks/yO3s2E5yOw2k/8qev6nqE8cvPSDgm6Jlx/LIqTDxgZ0w84AlEtl9vH6uZPZCSQd4c0hjkRYLqrSO3YXWrFQg2KKqR1GSnmXiwZntZs2I1oErS+AnkdwK5Po00/i7hNnnN1+zTEqLNVE2RymOsTr/C6b7YKsBlWKlMP+AdAvmDQEYQSIMwfjkOuBSLX/ZT5d8Z2pbrzOr4sJZbg3C6EbA/8DllW26NIZBulR4jAkTYEnNG22P3TVvVHIUWTDzgGOzZ+x5SQelJySCvAyWDvKYkMciLkhOPYMWkTSgEelY7xaMsUZOdZlRSd13C7dcV7lFOGj/WiuhiUk/jbxduZ6ZnblbIm76VIYm44ZRK97IH07U4bYeN5sdhNa8XFhYVLL3Znb+8U6uZ/SmJX36aBdvy7Vrlhnj7qhYjwrHYvbkR8JAqPVVzXOOsOgoYji3BTkaqmHWXDPIaYMlW8yhnkBex1cX0O42l2EDzGEQuztV584Wa7DQTy5oVO7f0SHT7SC5mFabxYwlD15F6Gn9rYK0Sq7RTfWBBjOdfl0SMtXKnWRqnn+N0VjNVKgAAIABJREFUL6DBC58dErz2xb4F5+1/e92fbt+UoielqY6UwVkq5s9Zn9W8JJ6+qkBx/PKp8J8DVDktivMkheoVWHlUO+C9pD5jg+2rw8F2mUEeFup5j0B2jsjiYlab7lhvLJH6eiT7JV35TE12mqm3skqO9OJ7Tlfh9NI00vibs76Qcs4QpA72O4q1b+U6bAIUKZrykrEcr1f+/bYX3UE3v6JH3vHcLQWi74nQEluiXUYg4wikTzpGxdBnNb/JQV9VKI5ffk7Z+OVjmR43C/wdy0XYGZH7U/pkySCvEXA1Vqf9V+BDAplHIMMjVWxSnYtlBBcBo5HcL7PHRU12mgmpu3QyICsj8/he1Wn8Q0slUjQiXjWgkkzV/GEjCDvYJEkYv3yHkm4O/UZPOGIITnfHvocRWJF3f2ACgcwlkMtTLObPdZ/V6kGEfVVF6IZlrm+H9S/NXfyyKsqKB5yOyFkpH8MG28NwujGwC/A+9gy6nJJB3voJR9lAdTxWX1ob+ATJg/KYHFCTnWZ2WlmtTxMsWzBzKk7jv5ZEGr9Sh3jVgNbPVI2fxqTwHYjQEXNkuwM/YIXtJfFL+x4uxmlrYA/gY6ANFpdaQSBjCaRnEqfKdZ/V6kcW+6qK4DAH3AJ4UJVeOY9fVoXqCsyhrwHuRKR/2sdy+hFOd6NkkLcQG+R9luYgr2pUH8aW1psCk5Do49JxU5OdZlQJGdHE98pJ459Tn30R2Gsu3WJM488PNaCy1IPkaihFOBBL9NkY0xvdUpWKhfadvovTnbHfz63Yct/ewGQC+YVALqrke0hcqx+S+l/UZDLsqyrC3cDI8J8nqXJ65Dani+oM4IDwX68h0rGSvaumZJDXiswGecmhOgiLr26OlWZt0NRkp5ldNSBAkHpEHd8rlcZ/bQ8uA+i6hHrEl8afaG+VF0tegjQgye9AhOuBMVic8f9UOSbp+kuny3A6GKctMac5AVvyvwFbBXiFQLZa51OJ2uC8uFbVhlT6qq6uTxi/PBMb0GyryhMxWJ0aqm8C52M60pOyJh5QdpB3OxbKSQzyZlcxyEuFv2EZ/PsVKx5toNRIpxlhK6ucxvfu2dKkvp7pzOXEl8afGBXniyNIqM78XNEOYfzyXazEZxmwkyp3pX1G9//snXecVOX1xr9nqUuvCiKwWLBgQ42xxkIs2GIkifqi0WiwGzXGnth+xmg0RhMTWyxReYNdscaosUaxUBTsKKAUKSq97/n9ce5lZndnZqfce2cW9vl88pkIO/e+7Dtzz3nP85zz6PM43QmrAtwUXHMoMAkvU/FydrAPcYnP1g04nY7T4ZgC+QRsfm9oubX46trNq+VPMzph5c7xGH8ZtTo+PqjeANyNUUdvR3ptS/LODnpm9wfewZS7V2PJ9lMZkrz8YfzstqQmHg2PYNUViXUyaJIqk0Vtz5Q0v7cJwHdtGJtBxt+PlIz/0bhk/FhZs1bRSuGKwj34PNNfitAf4y9/gD10+0TUfxlWAc7AaRdsVuc4LFBeDyy/cgI7d1+WqM/q2okMvqr3vjq81cVXvt9al3cRt+vIb3SkXFlx/GU+UP0FFjC3RuSBWO7h9Dmcfg/jev+GCd8OpGGSVxhU52P9o6uBezJOPFoLkEjQFJG+IvJfEflQRCaJyJlpf3eGiHwc/Pkfk1gPqdPIlIivG6ojk3KwCBWFqX7ElIy/JykZ/2FELONPQzcqcxrQx/X/QoRDsL1ZH7gf2Cwnf1kKnD6F0+2xU8NtwLKLJ9Hxq8cQvHyOl9OSaOZf6+F0qgzXOT+/5d5WtQp/GvHz2pGnHd0N81VdSCVabjWO3YBZwE8RuTi2u1jP7OlBkncolmyHSd4yvDyOl01yXqM+VCdhCujcE48igoh0EZGHROSjIL7sEuf9ILmT5irgHFXdAstEThORLcWUYj8CtlHVQVh7RRKIaxpQfpNookM4DahhOThGGX89RKcWjgYhx1pnuETAX47GyvKnq3JkCfNj84fTb3F6Ek47bXcAy+4ZwOpgjTdh+/AQXmpiX8daCBGqRRgLnAIyX08evPCcPvctJOWr2pq6lltNowlfdSU23H0ZcCUih8Z+T6dPBMl2mOQtxwLpp0GSd0reSZ7qI8Dl5DvxqDTcCDyrqptj5eHYZ3AnEjRVdaaqjg3+/0LsH9YHOAW4WtWa0FU1qabvuKysCp9EUxp6ACsbnQaUW8b/MV6OK+HU04bKmgbUJ3j9CNbwl6+Q4i+/r8rfyrGwCd1oddL3+QJTMt6FJZPDgC/w8hleRjSfPvND0H85A5tMMx7ozfoTa4E6vqrUtdyKzFc1dqh+jbVA1QIPJzY8IC3Jwz6b72NJ3t+BpY/2pt2AljT+GVW9DHgMS+xfjWOpItIJo1nusFvqClWNfdpW4pymiNRgH/QxwEBgDxEZIyIvi8j3ElpGYaPu8kfRk2iKRGcKmQaUWcY/EHuANyrjr49ClKoJYn1gtaIrA/5yJjYp5ROMv3ynHIuqIz5zOgenx+O0A3AUNspxYyzDX4KXUXjpk+Ny6zREGI4lpl2AW1UZnJG/rGu5lclX9R3KbbmVC6pvYYKnlsBbSMKB3ukjON0GS/LuBlYd1oFWk2vohJdP8XJCI0ne4dhnexdEbothhRsBc4C7RGSciPxDJH4HmESDpoh0wLwIz1LVBdiHoStWsj0XeECSaY4NR91FXVYseBJNiWgHRXJyhcj4s6NRpWoZ0BVYlsZf9sT4y81j4y/zQ3hSqDsNyOkonA7CMvL7AMVcML7Cy0d4OSbRVVY4RLgF+z0BHK3KyXm9MbOv6g6kLLduoFyWW7mgejfWKtKRcg0PsCTvFzjtcPRMlny8klpMhPgPLMnzGZM8U9TuiFWiRhQ18Sg3WmJK6ZtVdTBWSYp9gHxiQVNEWmEBc6RazRuMi3tEDW9hpYgeCSwnLiurgibRlIJgjmkrLNMqHo3I+PFyFz4rmZ9TqVomdGBBR0jxl6cmxl/mRu5pQE5n4vQYbCzicZiQaTPgnmAf7sXL+gmssyIR8JfjgJOw/uqtVNcML8gf2X1VzwQWYpZbxU/liQOqZwMvYGXSZ8u5lJGLWLnFVBZiSd5ILMk7imxJnk082oEoJh41xFfAV6oaens+hAXRWJGUelawuvOHqnp92l89BuwT/MxAjLhPYiRcXNOAkuT3+gWv0bTNNJTxP4gFneOA2Xh5Hy/D6r0rVAtXxDQgEVpRK235sm97bH93UuXmcq8rwMDgNffvyvbhnzjdHNvjB7Dv6dHALLxMxMsRsa60wiDClliZfTusjaeXqnHWJaGhr+osrOr1ImWw3GoE+2IJ136IJCWYzA5L8o7GkrxfYJ/r9CTvnjVJXsOJR1EIEFHVWcCXIhIq5ocQvWtVAyR10twNOAbYR0TGB/87ELgT2EhEJgKjgGNVE7G4inzUXRq/NyvK6+ZAeMqL3kfT6VSc/gwrZZ2CnSS3wmT8C9Jk/KFSNSnhU1aI0J9O302nSuG7Lkuw+bHvlntdaShcfOb0S5wegVUBTsTG/Q0CRgXtFHfgpXvkK60giHAMNgyiM3CzKturRlwlyuGrilluvUoClls5Yc/F7bBK1jmIHFvW9YSwJO9unG5GKslrgT3vwyTvp8HEo7Owg9G7kU08gjOAkSLyHvb7uSqi62ZFUurZ11RVVHUbVd0u+N/TgdrpaFXdSlW3V9UXG7uWiDgRmSIitcFrPtxb6v0pK6uolbph+S0pt48tgtf4ekLtC3ELTjcmJeNvQyDj32EehwZFz7JOXREJpPGDJlkZedf/PaBaUW0wUIr4zPbhdpxugiUqj2APn+OBuXiZgJfDIltphUCEW4F7gv8crsqpsd80zVcVm9U6F9idlOXWlcRpuZULqeEBq4A7keIs6mJDKsmrxsroYZL3AF4WMpJt6c59QPdv4LMWJTzHQ6jqeFXdMYgth6lG7lrVAE1qIlDwi70da+qX4PX2An/hmQUZpaMs04BIKmDVlfGfCXy5oBXtqxTUM6dcMn4RrsWCeQt+eYcJRKSiONYQxfms1ofTKTgdhu3DGVjJbhvgUbzMx8stTbCZvw4C/nI8drr+FuMvfaKLMMPnSzHLrV0wo+h0X9WXKNJXtSSofoC1i4XDAyqP57Yk77YgydsYo+EsyfsLR6/8Iyu6bc+Go0p7jpcNTSpoYkfvdpudAVvOgB/YdMN2FHYkD0+EUQe3kN9rMIkmJoScZtRtM7lhX4i/4LT/5x34tpWymroy/reTkPGL0EqE14DfEPCXHH9XWBovne+KHtGKz2wfbsLpAIxLeoJUhj8PL+/iZWhk90sIafzltsBYbH5seffT6Zs09FXdk5Sv6iVEbbmVC6qPAZdi+x338IDS4PRznP6YtCSv5Qa05hz4ye3wylFrfrLQ53jZ0NSCZj+AzofDB73h0uPgu9vhluPpV0B2nXXMWonIOIkmRvQGULRsPZKrq6he3oI51JXx70hKxv/nOGT8ItQE99oN28eQv6wJfiTZRCI/xDc5yeknOD0UK52fg1EE2wNPB838f8VXvkFwPf7y76rsEDl/WQqy+6peThyWW7mgegXWjdALeD2Re5aCtCRv89+gz40FWsP3tqrzU/0yv7my0NSC5jSAt4JOyBkvQ3VrOGkIgmXXY/PIruMadVdnEk0C6EE8JtqFoA0wL4OM/99YkDgLWBDI+PeM4oYiHIYp9XoCI1XZPI2/DPcgqdm/hSAen9V02IPpepz2w+iCZzF14+nAfLyMwcs+sa6hSIhwGyn+8ihVou7pixY5fFU7CZ3aQJuILLdy4aeYsOz7iNwR870iwyezmLb/n2DjX0Dfq+v81bQyLakgNLWgeRGwhN6AwjFXQvWxLBk9lvuw7HowjWfXcVlZrZlEE/F1s6Ez1sxbFgjSEeMj6qqFTcZ/ACkZ/9eYeOGlUmX8AX/5KKbOO0WVo+v9yHrYHqwu5vpxIRGf1fpwOgmnQ7F9uBAree4EvICXeXi5rhLaKQL+cgImLvsW2FKVUWVeVv7I4KsqgrStoi3ZfVWjgSlqv4clY8cj8qtY7hM9LgKWfFELc1O1lyXBn1c8mlTQVFUPjGB9VgdnrKm1MOLQ6/SYILseBDxD7uw6LiurriQ7DShyE+0CEXLDmacBRSjjD/jL10nxlzuqckuGH+0KFWkHFT40oxafNQ7bh6tx2gcr2T6PJVznYPvwOl72SHxdgAiDsGC+DfAuxl9WRM9vUQh8VefXMn+FsoK6vqrTKNZyKxdseMD2WNXpBqQyKwnpWPMct3Y5DV5HBH9e8WhSQROCX3gvltKGb1S1ps4v2ukHOD2Q7Nn1n9C1ZhpQS0qdBlQawpaXxgVVJcj4A/5yBrArVvreQJVxWe7UHnOmrzSEQTMpZXVmOB2H032xfbgU+/zsCryClzl4+UNS7RQiHAtMwAL431TZsaL4yxKxVFlKXV/VDQl8VfEymkItt3JBdSpwQPBfz2DzvSsaquqD53dVg+d4haPJBc0AuU9Z2bPrX1evpmfX5bSMIbs2fi8ZhKKjqE20C0E44SZ/QVXjMv4X02X8afxlD+A+VbZopP+yNcntQSEIxWeVcYqyfbgCp72A7wMvY6f0C7BZoi/jZee4bi/CP7AB4GD85elx3avsqOureitWjbK5yFH6qqr+F/gVqeEBZS+9r61ockEzzS0iv+EE9bLrZS1g/WW0IsLsOo3fm1nKdQrANsHrlITulwmlqYUzy/j3JpDx33PKMa+1rFoR8pcnqZJzcLkgXUl2DwpB0j6r+cPpWzjdCzulX4UlHT8A3sDLLLxcHlU7RcBfvofNOP6GpsZflgKz3DqZlOXWe9T1VX2YUn1VVW/CxpV2A94py3D3dQBNLmiS6ocsjB9yulIc16jArGrGEm12HcrMk3L7iMtEuxCEStXSWnfqyvh/UKvyRm2t9Pr5HvfttvTudnxza9e3dKSMafQ6qUSikhxXQiTts1o4nC7H6cU4XQ+zUnsdUyhfgj3Un8fL4GIvn8Zfbg28g5XZK+PknTTMcmtb6vqqHk4UvqqqvwTexCiBhyJacTPS0BSDZm63iNzYCuC71nwYcXadP78XDUI+pJxN36FaODKlqgzX6S2Ort204wkLuPWFEfOqqlZ/27XDdzsD4/EyHS/n55Dxh7zhZ1GtJ0Ik7bNaGpy+htPdsSrAdRgVMgQYi5cZB7ejTSEPDhGOI8Vf3qTK99Ym/rJo1PVVPRJT9Nf3Ve2b8xqZsTuWoByOyGWRrbcZQNMMmqWcsupaWTXMrl+juOw65PeSCmLhF+m9hO6XCV2IUKkqwuHYqbXHkhUd7jvpjtt6VA3XbgQyfmyYw9Vkl/EnvQeFIGmf1WhgVYBzcdoDC5pjgF5P9KHt5Bo64+VZvAzKdQkR7sROUwocqcoZ8S+8CcLp/Tjdioa+qtMyWm7lgupqrPq1FLgUkcNjWPE6i6YYNEMu7cMi3ptdvGLZ9R5kya7xcnGOU05N8JrkNCBVtJyilw5EpFQV4U/YdJMq4MQ6/GUg4yc4pVBXxj81TcZfE7yjnIlENiSmrI4NTl/E6c5A52NmsnzaShTYH5iIly/x8pv074cI7UV4H7ON+gbYQpX7y7P4JoSofFVV52AHgVrgASR3ctOM/NEUg2Ypp6zGrayyZNfAldgpJ1N2nfQkmu6UfxpQyUrVoP/yDeDXWFDZXpXbM/6w04U4PaOejL8vgYx/8/nsFTiulLetIzOS9FmNF04X3reIZXtOZwGWvLyLff6vxaozT15wyNWHYMrurbAqwQaqFVk2r1w09FW9n0J9VVXfxQJvC+BNJHlDhbURTTFohqes+UW8NxRk5OcMkpZdAzdiD/ZM2XXSk2g6Ud5pQCUrVUXYCHuw7oxxOb1VmZDXmzPI+Je1oEtLc1yZHJmMPwKUwWc1OTh9Fqc7YoK6v2PlwIMu/8mlo0ee5jqdsd+NL+tI+X4zf1kizHLrSDL7qi7Cy5146Znxvar3YpWzDsCEZkVt6WiKQbOUU1Y4DaiwUXd2yjkLp93IkF13XEk/SfbBUI21aJQLITdclFJVhGEE/CXwT1W2Ui0iCUiT8U+vZnGb1dRSV8b/UMky/tIRViWSnwaUFJzOx+lpMlwfHnTe+9z64on8ZKeH+MuxZ+2JVWcexctGjV6nGbmR2Ve1FVYCn002X1XVc7F50P2xnvVmlICmGDQ7YqPUikHpgowM2fWKKlr1Xko7vEzBy6/iPOUU3KcaD8JAULBvpQh/xqTwVcAvVTkuigWtbEGrxa2YQV0Z/zCikPGXhrris7UQAX85EfjFB9O3+ubMe/66aeuWK3tgPYMrgMOAyXiZjJeTK6UK0KRR11f1dIyWyOWrOhQ7oe6DyA3JL3jtQVMMmm0p/pQVmXglzK5x2nl5FXRYxTIsk7sRy64fiym7Lq5PNZ415K1UDfjLNwmdT4y/jNKZoTUwt56M/yisFF9fxt8n14UiRlxWdBUBEbbGyuyDgLcI+Uun83D6S5x2BH6GleA3Am7GqgAPFNlO0Yx02OnzbzjdiMy+qub8ZMPdB2PfvTMROb58i27aaFJBU5BW2CmrWLeIyAUZgnRH4JNOvIyVG8Ps+kfEk12X0qcaFWqC17zEWAF/ORMb2TYJe7Dmx1/mc33WqAnrcqxOR+F0EA1l/F8VLOMvHkn7rCYGEY4HxmMc+42qZOYvnT4YtFP0Av4JrMZsrabh5WO8HNd8+owAmX1VU85PI7mKrdgbq8LcjsQ3KnFtRpMKmqR6NAs+ZQnSnkxWVqUjnETzVYbseiINs+v+Jd4v/B2U0zMyPKlNbuwH0/jL7sDdRfOXuREmEpn9+KKS8ReHpH1Wk8HD91RjCWIt8DNVzmr0PU6/xulxOG2PqUA/wtrA7sJmD4/ES+8YV71uoK6val3npwt5h1v4nEFUAf9Fmn/fhaKpBc3w4VhMW0FuK6viEQaxupJ6y663pmF2PQUvn+Dl+CKz67Dkm58COB6sB6xSVHP9kAg3UJe//EVM68lvGlAUMv7CkbTPaqwQoT03fdCR948JW462UOXBgi/kdCROt8AU7R5LaB0wAy8f4MVFue51FpmcnzoykIuAW2nLsXzK+c2tKIWgqQXNcDhBMdOAihavNILck2gyZ9ebYll6Mdl1yANFVt4sAjmnAYnQRoQxwJkYh7JdxPxlfYQca/4DL3LL+Bfi5Q68dI9gbUn7rMYGEbYFZjJ3iyo2eHs11iZUWv+l0+k4HY7twwlYBWULYGTQTnFX1naKZuSPTM5P7VD2oz1b8x1l9FVtamhqQbOUU1bhVlb5oSZ4bZzfiya77oX1qZZzwkx7IGOfrAibYMKQnUjxl3HzeWHJu/CBF5ll/K2B44G5WWX8+aPpTwMCRDgBGAt05Hs3LefEnRapEt3p2fbhTpwOxL5TD2Gescdh7RTv42VYZPdblxE6P1XRhieZxQJAy+Or2hTR1IJmOJygmIdwXIKMDYLX/EvGubPrxXi5O0d2HZeJdiEwpWo9iPBT7LTXjfj4y0wI9+Crkq7SUMY/hdwy/nyQpM9qLBDhbuAfGH/5Ew46I96Ts9OpOP0ppgI9BftubQU8hJcFeLmtiH1oRn04Xcm/qOE05nIJMJvJJOir2lTR1IJmeMoq5kEcjZVVQ/QkD34vIzJn1y2AY8meXXei+D7VkiGsCeZ1lKoi3Ag8gJ2eT4iRv8yEnsDKovYgE1Iy/gFklvG/i5ehjV0mzWe1SU4DCvovJ2Gfx3nAZqo8nNgCbB9uCdopNgUex5KQEdg+jMPLQYmtZ22E6nJgez5nOWezEadzKDH7qjZ1NLWg2Y3iT1mRW1kF6AIsKfkqDbPrz0ll1wvTsus2lHcaUB1BVcBfvoW5xi8ABqtyZ8Jr6kwUe5AJmWX82xPK+L38FS8ds7w7LvFZ7FjDX5rI6k2MvyzfgAann+H0MKwKcDb2O90OeDLYh7+1bW5aKQ6qX2LjQeFbHmM4d2RzfmovtG9hif06i6YWNDtSPD8UqZVVGtoT1cAESM+uNyaVXbcGRiyvYh5Ki57LIuSSCscapWoaf/k9rL0mCf4yE9qRhWONDLlk/DAfL2Pwsk+9d8UlPosVIowg5C/hBlV2iZS/LAW2DzfgtD9GaTyF7f+pXw2g84096ICX/cq7yCYI1ZeB07CxfO8gUk0G56eWQssOVXTIw/lprUVTC5ptKX44QVyCjIz8XiSol11P7MxMBPaZxZZhdo1PXC5uStU/n9mDFH95lypbJ8Rf1oEggn3R49mDTMgk4zfh0wt4mYeX6/BSTWV7fGaECPdi05NqgWGqnF3mJWWH049wejBWnTnvlaXoKV1oAfwbL9/g5c94aV/mVTYdqN6MGSB0BcatGe6e5vy0uJbFq5XVNO78tNaiyQRNQdpg6y12GlDJVlb1kTaJZkaU122AILvecSjnArRbzWcE2TXwLV7eSTC7rgHghrPPw/i6X6hSzpFcoQgo3j3IhEwyfisVnwMs2nfmGl634qcBidBRhA+wtqi5GH/5SJmXlR9sH649fCYLar5gIfAcdkq2kY1e3sDLnuVdZBOB6snA6xiX/1j9v14FqxYpi2jc+WmtRZMJmqQGXxeskBSkMyVaWWVB0pzVZgB3bcwfCLJrbDrSDqSy6xviyq5FaMPEQUNQ4Ks+84FtVbk7jnsVgHAi09SyriKU8du+XArMXtiS7igs97xayTJ+EQZjn6MtgP9hZfYmVVIOMWM1tTjdH6sC/BZLsncGXsLLXLxcE1QBmpEde2Kfh0MRuSLjTzTi/ISXJ/Gyecb3NnE0paAZcmnFTAMKH6xRB7f8JtFEh7BPdWKYXeO0L/bvC7PrM4GFQXa9d1Q3FmEgMIMOi9qzqiXUtuyjyqSorl8CtgheK8Pk2OlKnF6B097juzG9SqF1Bcv4RTgReAf77PxJld0qhr8sBfb9+D1ONwB2BF7EdA3nAYvw8ipedi3rGisVqquBbTFx3e8Q+WnOn8/iqwp8SALOT0mjKQXNUtwiwnp7o7NSC0Thk2hKQzgNqG65z+n79bLrWVh2/WIU2bUIR2ADJbrRc/YKWq2aXw7+Mgs2CV7LOVYwI5a1oLq2ikWYYKjiZPwBf3krNuLxx6r8plxriRVO38XpEKwKcAVWft4deB0vs/FyZaVWAcoG1XnY72g18C9Etm7kHXWcnzDDivHYuMq4nZ8SRcFBU0T6ish/ReRDEZkkImcGf36ZiEwXkfHB/w6MeK3hcIJiHo4FW1nlieIn0RSH0EQ7swo4huxahJuAUcF/Hkf7pULcStXCEO5BJfKGpqx2uhynF2eT8ePlebwMTmpRAX/5ISn+cqBqQ/5qrYNVAS7F6frALsAr2LCQi7GRli/iZceyrrGSoDoO+DnWYvIGUsBACaejcToY+5zH7fyUN0Rks7QYNV5EFohI42YDaSjmpLkKOEdVt8BOM6eJSFim/LOqbhf87+kirp0L4TSgiUW8tyZ4jTq4RTOJJn/k36daYnYd9F++g8nQQ/7ynyStVG0cGwAoGjVfHQUais8yyPiBIcDYQMZ/UZxCioC/nIEZDYT85ZS47lexcPomTvfE9uEarPd5b+BtvMzEy++am/kBVQ9cjSWAEyh0fEgyzk95Q1U/DmMUpgVZAjxayDUKDpqqOlNVxwb/fyFWmkzC1Dc8ZRUz3CBvK6sCEe0kmsbRgUKnATWeXb9UP7sO+MuZ2IdqAtbYPklYM1i+kgJUd6g8Dk6QruQSn6XJ+LGgOQaT8f+emGT8afxlB9Ym/rIU2D5cgNOewF7AG5iLzxXYQ/05vGxbziWWHaoXAk8DfTusoEPR14nP+alYDAEmq2pBIsKSOE0RqcFMTscEf3S6iLwnIndKIUf5/NCN4t0i8rKyKgLxTaLJjFL6VLNl13uSyq4vqW69ZDhWAu8K3KHKdqprhkKED4/yKlXrojNUDL+ajvzFZ05fxOnOxCTjF0FEuI91gb8sBU55IWauAAAgAElEQVRfxumu2KjK67EKy77AeLx8hZfz1/Z2ihw4GPi0hdKieiWlqY+jd34qFkcC/yr0TUUHTRHpADwMnKWqC7Dj9sbYaKuZwJ8KuJYTkSkiUhu8ZnL7qMRpQPFPogmQ1qda+hzTLNn1qXfddPmyldX3VcnqFnts9srFqvyy3jsrS6lqaIeVOCsNhSurY5Dxi9ARqwYNB+awrvCXpcDpYpyeg9PuWNB8G6MBrsb24Wn8Gkpq3YCqAoMVaL2a1oiMiOS6eTg/5RkfCoKItAYOhcK9YIsKmiLSCguYI1X1EQBV/VpVV6tqLXA7NiEln2s54PYBW9K/qiWCCTtuz/CLaUPxp6xoR91RZxLNnCivmwNF96nmhNOXZbju3eLoVe/d/PxpdKpeoO9dvTWvXLLn7/EyvV52HSpVk1IL50SwBy1Jbg8KQWnTgCKQ8YuwA8ZfboY1rPdZJ/nLUuD0eZzuhFUBbsIqS0OBSXiZipez16Z2ipxQXbyo9ZqDyy2I7B7ZtXM4Py26k5F3jqB/5+odc8WHQjEUGKuqBQ/LKUY9K9gx+kNVvT7tz9OP0z8mf8HOVUC7hW9B26XwwkWwfQ3tgj+3ayPtKc0tIo5Rd6EIKCl+LwyaU6K8qAibAzNrtcV2wIQFSzu3H7Thh2F23RvLrpfh5ekuK9a07pTTADsdoYAg+WlAjaMmeC1NfJZZxt+flIz/0UwyfhFOBt4iEBypsvs6z1+WAqsCnIHTLlipchzWAnY9sBwvj+Nlk5zXWAtQW0Xt4lYsxmLH84hEq2ep5/z0+Lssmb+kC1c+/ikLlo2hf/dtgLrxoUgcRRGlWSjupLkbcAywT732kj+KyPsi8h6mQst3ZmU/gPktoHol7DMI3rkSpt9E/7SBwOHDuphpQBmtrCJA0pNoIjfRFsFhyU1X4PY1/GXD7HoxMHTAIvZEQT1HVkh2He7BlHIuIgsK91ltDCkZfw9SMv7DSJPx77XFSyKCx+iS1cCPVG38YjMigtOncLo9JkK7DdNaHAp8ipfP966mdSV8OeLCqhaswtrY2mAzauNRGTudetj1O1f3Of0rPp+9Cdv0fYmp89acxfoVe1kRaYeV3YsaE1mMevY1VRVV3Sa9vURVj1HVrYM/P1Q17xaAaQArW8G8aTDkKhgzGXrZGPIrgWWfP84dW5kZVjGjvcKm3GlFvDcXkub3wj7VYlpuGkCEvwMjg/88WpUTG/xQvex6ZjUrW9UCqex6dJmz63APPi3jGrKheJ/VxpBFxr9gSYebZ3y3wWrgqCpZNQ/YVJXRkd+/GQan3+L0JJx2AoZhVYUBL25I9aT+dMbLQ3ipKesa44LqtRgH2ZOUEDRSiHAWvC52sLyCCdOGYD4CQAnPc1VdoqrdVbUoPUolTAS6iLYsCUexvzgJdrmUJZuewwkESsIBi9nqvWdg0f2cUYSSMK5Rd0lPogn7VEu6X9B/ORbz7JwPbKO6Jnhmh9OnZlWzdFUV8zEV5jLgEILsGi+nleH0uXHwWnHTgIjKZ7UxBDL+IVf9Z7/1Tpmz6tNZA2X3ga+y9O7q7jpSnsPLcRVSFVi74fQRnG4LrHfy16xYbM/2YcAXePkMLyesdfugOhyjCwYj0vgzJE8Eau+HgT+DroKDltk45zVYAlwU1f0KRdmDpqp6juVKBPgKxcqdIyZ/rXeGSsJjv88r73aFdqvpSuFKwrinASU1iaaUPlVgDX85C2sTGo/1XxYScNqp8C1OT66fXWNl3KV4eTjB7Dos0SQ1kakQRC4+ywYRTnlx0g+fXb6qbUvgj69e+oOjW7dc9RFW0r+LZGX86zaczrl1AUu/9yXzMd7sAyy5+wc2e3gUPmIesLzYCRPiOURKpgFE6IodcA4HZkGLGnjmBCwurIkPakMXyoKyB00AbgmO2o4/qGpN/V/IPRvT4ntD4Y3u9KShknBqI0rCmuA1lmlACU6iKaVPFRGGY2W8LsCtqgxO679s/P0ppWpKUJWWXWMP51XYhz3MrkfEnF33AlA0Usu3iBCfz2qAICMfhX0nVgOHqnJ+PjL+ONfVjABOR+F0EPasuA976B8BfIWXj/ByTFnXFwVUV2JJ+HLgj4gMLfZSIuyM6VY2wkaAbqjKdFX1QVyoyhQfkkZlBM3UMPZPsvz9+sDqXffXeRmUhH3JPRA4FGREzWn2wIQYSaFoE20RbsG+tGD85clFXCY81TVUqjqdg9PjcdqButn1baSy674N3lc6kt6DvJDmsxpbQiVCZ6x6cgQwG+Mvn6jzQzlk/HhZjJe78GuEcs2IC05n4vQYrPpwHCbm2wy4J9iHe/BrPjNND6rTgR9iScHjSOE6BxHOxsY6tgOuUGWImtl1xaFSgmbK8iozulL/lJX/QOC4Rt11ItlJNG0o0ERbhGoRxgEnYQMAtsqLv8yM/JSq2bPraTFk150odKxgMohLfAaACDtifocDsbGIG6jmUHHXk/EDD2FDuI8DZuPlfbwMi2OtzUiD7cM/cbo5loQ+gD2DjwFm4WUiXo4o6xqLheprwMlY7/o7SH6evkG15FFMXLgSGKpal8CsNFRK0GxsGHv2U1YjA4EfeYUN+i+KbRpQIpNoiulTFWFL7KSzHdZT1ku1JF435I/zU6o2nl3fG0F2vfZMA8oTIpyGqRXbA9eosmdBGbnTqTj9KTbI/xSsJWYr4CG8LMDLbfjIR2A2oz6cfonTI7DP8InYXOxBwCi8LMTLHXjpXtY1FgrV2zCqoDPWitLY8I2u2L/7MOxZtZEqz8a+zhJRKUGzF7lFLg3dIjIhw0DgH39Fqy9G0ynKgcAZ+b14EZ5c8jLRDvjL97AP762qbK+apztKdhSnFm6YXd+Pfe6OpoTsOtiDFlhpstIQuc9qkJHfjwmuQv7ygqIvaPtyC043wtb7OFbNGAHMw8s4vBwSwdKbkQu2D7fjdBNMUPcI9rw7HpiLlwl4OaysaywEqqdh1Y9NoR5dkAYRdsWqJQOAF4C+qkxPZI0lolKCZlaRiyAdyeUWkQlpA4GH7wJftGc50Q4ETnoSTTjcYUpjPyjCraT4y+FF8peZEHKaxauFLbs+kszZ9aICs+swMFXiFy1Sn9WAv/wYq6R8DWzcgL8sBU4/w+lhmCHA2Vhyth0wGi/f4eVveOkc2f2akRlOp+B0GLYPZ2Df922AR/EyHy+3NJEqwD7YZ+ggRP5Q/y9F+DXmKVuN8Zc/rFT+MhMqJWjmErmEzhp5nbLSIUhvPwA2/hHPk1lJ+CFehhex3qQn0TQ6xzTgL8djwehbjL+MUmXWG0DR0ue8Zs6uW1FYdh2evqeUvJ7oEZnPahp/uSmWwfdRLfy7kBdsX27AaX9MMPQUluCcCnyLl7fxsl8s925GCrYPN+F0AEZpPIEFmJOwKsC7+OJVqrFDdTX23F4MXIDIkbCmWvIYZuaxEti/0vnLTKiUoJlrGHvIDxXjhZmyssqsJNwcuC/g2O4uQEmY9CSacBpQxlNeGn+5LTAW67+Mui81HqVq3ez6dPLPrkOONZviupyIRHwmwumk+MurC+YvS4HTj3B6MPawPg8L3DsC//5mIzr9pQdt8fmJPZpRApx+gtNDsWfkOVgitj3wdFAFuBEvHcu6xkxQ/RYbuboauG+0HLIX9gz/EVahq1HlufItsHiUPWgKUk1uy6vwlFXMw7HhqLuGSsIHMW7sWPJXEiY9iSZshm4QCEU4hhR/ebMqO0TAX2ZCvEpV25e/5ciux9bLrit5GlBJPqtBRv4A8FfsoXOwKhdGtbiC4HQ1Tq/FaV8smXmuQxVyRlfaAAvw8gZe9izL2tYl2Pfjepz2w4Rbz2LJ1K+A+XgZg5d9yrrG+lCdAAx/jd1aHMH9/wUdAPwH6KdaUUb2BaHsQZNUmS1bKasmeC2GS8ttZWVKwp+RUhJ+TkpJuBAv/8jCsSU9iWZ9YLWidU4ZItwG3BP853BVTo1xDdUk5B2aJbseTCq7/mvL2pI+F3GjaJ/VgL/8BHO0D/nLpyJcW/Fw+j5O92/3GfMvm8sybH07Ay/hZS5ersFLaQbFzWgcTifhdChWnbkQqzLtBLyAl3l4ua5S9kHQPnvwKsuo5nyuWaDI0KbEX2ZCJQTN0PIq2zD28JRVTCk0FGTktrJKKQk3JqUkbI2VcedkUBL2BjTBSTRdSBNKpfGXIzD+csuI+cs6SFMLJ6tUrZtdDwKewbLr0zdfwN5ijis7JLqmRpDms1qwslqEnbDS1SbAy8TJX5aAVcDl37IcpxtgJdsXsc/oecAivLyKl13LucZ1AlYFuBqnfbCS7fNYleMcbB9ex8se5VhaUC15HPgTyHLPUW9czYWdgJfKsZ4oUQlBs7Hy63pkOGXlicJH3dVVEp5JBiWhKD1JfhrQAgARBtGQv4yb1wtLoeVTqjr9AKcHEmTXs9tQ29qGYldadh2KgApSVgf85RsEXoGq7NUkMnKn7+J0CIESEksWdgdex8tsvFyJlzZlXeO6AKfjcLovtg+XYvNgdwVewcscvPwhqX0QoTt2CDoU+x4MOIr7d8MU4LsjcksS64gLlRA0a4LXbGW2LlD0cILuUKTxrp1y/pJJSdh+Fb07raAFXg4ocl2FojUwT4RjsVNzZ+DvMfKX9VE5vpVBdj27mqWrhO+ooOw6QEE+q0FG/iDGX64CDlTl4rgWFxucrsTppThdH9gFU/p2By7G2rxexMuOZV3jugDbhytw2gv4Plax6ApcgI20fAkvO8V1exF2xw4aNcBz2PzYmagqsAM2jOQkRKJqhUsclRA0s4pcApTiFlGSIGMN6ikJl7aAHstpCTyDl2/wckNcSkJBOgPC+G26AncHf3yUKqfFcb8sKGwaUDJou7qKufWy69mUKbtOQ94+qwF/+SnwE0wIt4kqz8S4tmTg9E2c7olVSK7BKIS9gbfxMhMvv8PHZFzcjBScvoXTvbBn6FXYgJg9gTF4mYWXy6LcBxF+gyVL1cClquyvSkpBrroYC5wrgb8jTVNAVglBMxS5ZDsRluIWEe2YNaerxXHd6ir4ui3vAf8GOmJl3IWBknDvyO4HMKOXZedjt+9Dir8cFek9GkdYnp2U8H0zQpAWmOL5ayA9u+5N5uz6ZbzsnNDy8pqclMZfbgz8F8vIK46/LAlOl+L0Apz2BPbCys/rYWXcpXh5Di/b5rpEMyKA0+U4vRin6wF7AK9jbVGXYvvwPF4GF3v5oFoyGrNtXAHsq8oVGX9Y9XPg4OC//o3EYuQQKyohaDYcxh5AkO4UOg0o9d5QkFF6M35dbAqwuBWf4vQAjGP7LXZS2Bl4MVASXlsqxybCIK66aDQA83p8RTL8ZSaEH+xK8a0MT74NOdbM2fUPgDeC7PrymE85jfqsivAr4E0sqfu9Kvs0Cf6yFDh9Gae7Yq1L12Pq4n2B8XiZjpfzKcxcvhnFwOlrON0dqwJchx0qhgBjg324qJB9CPjLLzBD+unAAFWez/km1eeA32Dq+LFI0+K8KyFo5poGFPJDxbhFZLeyKg11J9EYx/b7DErC31CCklCE44AJDPiiHQDnXndWQvxlJoRq4WRaThpHuAdfZP2Jhtn1a1h2fQkRZNc5kFV8FmTkD2FWdisx/vK3MayhcuF0MU7PwWl3LGi+jX2+rsbs/Z7Gy5Y5r9GM0mFVgHNx2gMLmmOwffg9tg/P4mVQrkuIsAfWDtYf4y/75t1/qXo9cC82NGVM0f+OMqASgmYuy6vwy5OtHSUX4hKvZJ9EE5GSUIQ7MFNn+NHot4I/Lmc/Yncqy7eysGlAll3vQebsekah2XUjyDg5KXB0+BQYhlUlNlor+MtS4PR5nO6EaQ9uwsauDQUmYebyZ0dhsNCMRuD0RZzujO3DjdgQk/2BiXj5Ei+/qf/9EOFcjAZpA1zSgL/MB6o/B94FtkXk/gj+JYmgrEEzj2Hs4VDuYkbCxSVeaXwSTeNKwpcyKQlFaC/Ce9gM1m+ALdlkcvhBLKcIpyOV5VsZ+q8W6riSKbvuRQHZdR7oRD3xWZoj/cakOdKXeJ+1B04X4vQMnHbB+K5xGCVwPbAcL6PxhRsbN6NA2D6chdOuWPLyLibUvBarzjzRswVVrGjfHvgjlhz+UJX/K+Guu2DahJ8hUrxrT4Io90mzsWHsNcFrMVxacVZWjSPk93IPTAiRWUm4Jykl4SV4aRX0X87ASo9vY8bCn2AlxdUxmGgXgmoqy7cyVFyX4rhSP7teSCPZdZ6oIz4T4SxSjvT/V8mO9BUBp0/hdHssybwN0zscAnyKl8/xclrz6TMBOH0WpztimpO/Y21/B39ZQ8eRfVa0PGCbZ77r1n5Of1VeLOk+qiuxaV/LgD8glW9HV+6g2dgw9rBRPDt3lR2lW1llRsjvZeNhM6OukvAH2IN0PeDy2lpZ9twFP3x/m37jOwE3qbJTGn/ZhSjaZopEA6VqZaAXtgeLS75SKrvuRubs+km8bJ7zGgHSJifNCfjLh4E/k3Kkv6Tk9a4rcPotTk/CaSespP0eZlxwE7YvD+GlpowrXDfgdD5OT5PhevDW509Yccs3rTmw40qeOf/ALvNuW28aXh7Fy0aNXygHVGdilZ9a4BEkv+9buVDuoNmY5VVPYFWRp6zorKzqojuUKMhx+ipOdwM6PfDmTyZ+u6RL1b5bvyDjrxqMjpTD8XJB2ilnzTSgMmGz4LWSyoml70EmZM6uDwI+xMsUvPyqkVOOKWdn9JqN9WkeToq/rHhH+oqF00dwui2WZN6FDYEYBnyBl8/wMqL59BkfRDgfeHniV9u0Omu2LOvzBfMxb+IVwGHAZLxMxsuJRe+D6v+wsaAtgTFIBTq3BCh30KwJXrOdBksZThCXeCUSfk+E9jJcxxzx1we36nHSN9/8+719jxVZoyT8A4GScIvvSupTjQKNK1WTR0eyK65LR5Bd47QzZmU0HguIN2L78liW7Hob3vg+1EzdH+NdX6CZv4wOTufg9HicdgCOwqiXjbEy7pIHetFuw5ZlXeFahaBa8iSmbF4B/JBWy5cvUcDpL3HaETNGn4R93m/FqgAP4Ivov1S9E/uOdQLGIZWZCJU7aIbl12wil1KnAZVevmuItpTI74mwNcZfDgLeAjbY/+rn7smkJJz0NHz9MJuVUUkYnjQrybeyLdn9V6OF09E4HYypYsPs+keksuuT1+zLz+8ewW7/g5WtWtIEHembFJyOwukg7BlyH6A/7UiraTV0xstHeDmmzCts0hChJ9Z5cBBBW0lG/tLpgzjdCqNM/olZ2f0UmIaXj/FyXEHPLdWzsGEfGwNPl/jPiAXlDprhMPZs5ddSTlmRi1ei4PdEOB47uXQC/qLK9+v0X6YpCe8cwEXjukLP5bSlrpJwYOarx4LwRFUp04DaYJ/bZDlWp/OyZNc3r6qtWrr7Zq9+xb0/P5hWK+HE285rio70TRJOZ+L0GKD9CV+z5LOV1GKJ3j2Yufy9eFm/zKtsUhBhT6w3vh/mLNRPtZHvm9OvcXocTtsDR2OU20CsnL4YL/fhpXeeSxiCzW4+AJFrivxnxIZyB82uZBnGLqz5BRc8nCBGK6vsk2jygAh3YaeVWuBnqpyZ6+dP2IWFOwyFTQ7hMqz0ESoJP05QSRiWWSrFtzIUj2XzX40fadn1V/P6/GvTsz9r/fone/Rpvd5MmLwREw49eVkzx5YwnOqdC1g5cCoLsYf9A9jz7WhgFl4m4uWIsq6xCSDgL/+L9V9erMqBBfdfOh2J0y2ADQGPtRUOB2bg5QO8uJzvt+Hu22I02HmIDC/4HxIjyh00c5VfQy4tL7eIeojLyqoofi/ov5wIHIcNcthClQfzeOumAJ93ZBxOTw6UhD+moZLw4RiVhNEpVaNB6L9ado5VhuvGfX/11WFT5g6QDbtNm9j/g/7Lpc8MtpnPX7DsemQB2XUzooLTL3F6BNbmcyKmzh8EjMLM5e8gs7n8OouAv3yKFH85RJWrSrqo0+k4HY7twwkYDbcFMBIvi/ByF156Znyv6nxsLOlq4B5EKsY3t9xBM1f5tWlNA8qCevzlGMxYuFEHjAA1wWuqT9XpYxmUhIcTn5KwG3EoVYtHyLGW1XFFhF9jo/mqgcu/nNdv60+7r5qn9sAJs2tHvtl1M6KH2fvdjtNNsCTzEeyZczwwFy8T8HJYWddYAQj4y6nAgVjPfH9V/hvZDWwf7sTpQOyZ9hBWCTwOmI2X9/EyrMH7VCcBR2Bx6hUkS4BNGGULmnkMYw+HE3xYxOXjmgYU8nsT8/lhEU4gxV/eqMrOBc6PDU8pDU/bdZWER2Ic2xolIV5GFaVga4hOVNY0oJrgNa89iBpBRv4Y8Ces/3J/VS4L/rojwqIc2fVivNydNbtuRnxwOgWnwzAR2RlYQr0N8Che5uPlFrx0LecSy4E0/rIvJrzp3yh/WQqcTsXpT7Fk8xSsYrQV8BBeFuDltjr7oPowcDn2fRqPlH+ofzlPmo0NYw/dIoqZBhSXldWGwWuj/J4IdwP/wPjLn6hyVhH3y69P1en9Ace2RkmIZWjTIlASJqdUzQ/hHiQeNANHh8mYenYGUKPKc2k/kpoGlDm7bgEcS67suhnxwvblJpwOwKoWT2AP8JOAeXh5Fy9Dy7rGhCDCRaT4ywtVOahg/rJY2D7cgtONMBrq8WAdI7B9GIeXgwBQvQx4DHu+vZrI+nKg0aApIn1F5L8i8qGITBKRM+v9/W9EREWkR4H3zncaUDGCj7isrHoBtYpmFC9BHf7yWIy/3EyVh4u8X2HTgNKUhFjp42MaKgnz5tgEaUU5lKq5Ee5BoiXjNEf6AcB/MEXhmipJID5rQSbxWaHZdTOSgdNPcHoo9rA+B3vWbA88jZfv8PJXfOU22ReLoFryNDZzeTnGX15dtgU5/Qynh2EJ+tnY92w74MlgH27iRn6OVR13QeQfUd5eRM4OYttEEfmXiLTN9fP5nDRXAeeo6hYYMXuaiFn3iBmI7kuB1l0i4rg1IJl/xq9FMvI9PYCVRU4DCsUrUVtZ5eT3RNgWKzcPwvwSe6sWxcmGaI/5DhYGy+L+idPNMSXh/aSUhDMKUBKWX6naEN3I4r8aFwL+MnSkv1yV/TL0X4bmAtnFZ/ll1xU/e3Otg+3L9TjthyUzz2LfvdOB+XgZg5d9yrrGiCDC+tjzeigWnPpFyl+WAtuHG3DaH6M0nsKqN6fRg/ncw1L6sVDhhN+IzBWRWhGZkiV+5AUR6QP8CthRVbfCEt8jc72n0aCpqjNVdWzw/xdi0T4cmP1n4DzI/0gf/ANv79eTTt2WAW+xHnB7hn94k5oGJMIIYGzwMzeososqK0u8XytKnQZkSsIjyawkXISXO3NwbBWjVE1DLv/VSBFk5I9j/GXoSH9Zlh+v67PaGLJn16OD7PpveOlcwvKbUQycTsLpUGxfLsSS4J2AF/AyDy/XUaK5fLkgwt7Y53NDUvxl1GNGo4HTj3B6MJaongdMpwXb8wc6cin8cVe6H9AKwWi8TPGjELQEqkWkJfaczNnmWBCnKSI12ET6MSJyKDBdVfNz+0jhKqDdKIW5j8C4k+CQ7WkX/Hk62lHMKcsQl3glI78nwj2YAKcWGKbK2aXeKK1PNT9T18aQWUnYCvgFxrFlUhJW4jSgNiTAsQb85efAodiXqDFH+oKV1UCu7PpU4Fu8vI2X/QpdfzNKhJnLX43TPljJ9nkskT8HM5d/HS97lHWNBUCEi7Gxjsnzl6XA9uFanPYFtnnpA5atroGq0+Dp66CL9Qlkih95QVWnYx6707Bn7XxVfS7Xe/Ke1CgiHYCHgbOwku3FQDFf5n4Ad34MvQfAtv1g9Dkwfwn98fJ34EJxLMAe6MVmQdVEzMNlmkQjQkesjWQL7ET4/RLLsekIbdOK6VPNDadTgGFBa8qp2IMgVBIuxFomLsQVphaOG4JUY3swK9b7GH/5HPY5eg44II8HTOM+q43B6UfAwcGw/l8TlI2Af+PlW+Ae4GJcxfTMrhtwOg7YFy+tsNPnqcCuwCt4mYsJ/i7DJcuz5wMRBDtVHoDRGgeo8nJ5V1UknL6/t0ibqip4/IcwsAd8l/pW9svxzqwQka6YsG8AJuJ7UESOVtX7sr0nr5OmiLTCAuZIVX0Ee0AMACaIyBTsuD9WRHrlcblpAP+4GAY42OJceHIctGsNmEji26WjmHCAMUPFTAOKy8qqDr8X8JfTsYD5BuZ/GVXAJLgukHdPZ+GwU87fAo4tVBK2JVAS7jiPHwWhoiKCJqkSaGwca+BIH/KXlxbgSF+Yz2ou1MuuscDdETgTWICXN/CyZ8n3aUZhMHP5K3DaC/g+8DLGsV+AtXm9jJedy7rGNKTxlwcEr/2abMBMYVptLRzyHGzm6/55kdf7IfCFqs5R8/Z8BEuIsiIf9axgo98+VNXrAVT1fVVdT1VrVLWGQHWmqvmcAC4ijav8eCYcch1LuozgGOBcYHqbWrZ+5mVYfD/74eXGAhVscVlZreH3RDiRFH95vSq7RsBf1kcpfaqFI4OScGFLOlQB6vm6QpSEsXGsAX85mpQj/RBVrijgEsX5rDYGp+/jdH8smfktlgzuDLyEl7l4uaapcmxNGk7fwulepEqD8zCf3Dc6CZ3aCm2Dk2lZIMI+WJVqQ+BJrD2qMvnLwlAnfgRYEvx5MZgG7Cwi7YJYN4RGnrn5nDR3A44B9hGR8cH/Dixygaiqx9SCUzEB0VRgxOLleh9Or8Np35/szp+e7QVtV9MKK1EVomCLy8rKgvGFv98LmwO7GuMvz4n4PiHCckPUbTO5kaYk/Kwj37SspZa6SsK38PLDRNeUQqhQ/TjKiwb85RfYXN/pGH9ZqCN9N+IRnxns9Pl7nG6AlWxfxFqSzsM4tlfxkjNDbkYMcLocpxfjdD1gD+B1EaSN0AYbcfk8XgYnuaSAv3wem350gSqHNAn+Mg9kix/BnxdzvTFYD/VYrP++CtOnZIVoUbDu+W4AACAASURBVB0d8UKQW4CTOq5g6IKH2AE4jdR0nG+w8XG/wzXslxTkEmyCxC8VvSOyNS1vcz9tVvyMwe/C+O3nAt9TjXxMX+p+yLuYAKGqyLabKNawBFiong2wKsAZpPpnvwHuBi5JimMTZBQ2tGEbRSMZIC/CHlj5sy3wb2BoMQ8YQRYByxQttF+5eNhJ5rfAydhYRTAdwG3A/8XFscnl8h2AXqpd4rh+saiUdcnl8l1boe3STViEKfnBRCY3AdfgNBa7uIC/fAbYH+Mv91ONdhhApfyOy4lyz57Nhn4AC1szIUN2na5gew0vu9d7b+RWViIM5u3vDUOBTwb+D+Mvp0R1/SwopU81KphSNbuS8NcYx5aUkjBsdfooiosF/OXL2L/zEtW8BD/Z0Bb4Nop15Q3j2C7F6frALhgX2x0T6S3Gy4t42THRNTUDgGXKMpz2wMp9Y7De8d9jJubP4mVQlPcL+MsvsYA5FeMvyz49Z21EpQbN3gCKptotnL6L0yGYQOMKLKPeDXgVL3Pw8ge8tKGAUXf5IOAv36HnnBaoqC7usFsM/GUmlNKnWjLSlKp1BVVOx+F0XwKhDDYBJ1QSpu9DHFgf818t6fcf8JdPkOIvf6jK/xV9vfjEZ/nD6Zs43RPrY70GC+B7A2/jZSZeLiknx7bOwumLON0Z+z7fiLXC7Q9MxMuXePlNoJYuGmn8ZR9MzDdgLeEvKxKVGjR7kI0fSmXXvUhl16GCbfGbz7LLTnOisbIS4T5C/rL/lAVUZR+fFwNSc0zLgzAT/jLj36aUhL1JKQm7Eq+SsCslTgNKc6Q/mFyO9IWhJJ/VSOF0KU4vwGlPYC9M2b0eRlksxctzeNk21yWaEQPMXP4snHbFpvG8iwW5a7F9eRIvm+e8RgaI8DtS/OV5qhy6tvCXlYpKDZqdgMaDXobseqdvaPfmfxC8zMLLZcVk1yJ0FOFDzDh1LjCQtitakdQkGptjWvo0oNIQKlUbb6NJKQnbU09JGOzD5RGdckqaBhTwl6Ej/bPk40ifH+ISn5UGpy/jdFfs+3Q9NixkX2A8Xqbj5fxSTznNKAJOn8XpjlgSeDOwFDgI+BAvU/Dyq8bs/YJqyb+xqtsyYE9Vro176c2o3KBZ2CkrLbveex+WvdWNlZhDyKUUqGATYQesP3Rz4HVS/GUik2gChMrZgvtUI0TYupO/UrWhkvA1bB8uwfbhBXxJZrJtsIBcMAJH+pC//K1qcYKfLChuGlBScLoYp+fgtDsWNN/GKJCrMY7tabxsmfMazYgeTufj9FScdsYa7MdjY+FuxPblUbxsVP9tIvTGqiT7YWXZvs38ZXKouKAZnLJaUuQ0oJd70XrnA/iCutn1EGBskF1flC27FuFk4C3sRHOdKrursjKpSTRpCG3Top8GlD8GBK/FccNOX8PpHgS/SywJ2gd4By8z8HJxIaccQTqS23818/ssI3+Suo70vy/kGnmgoiYn5YTT53G6E8ax3YRVdIYCk/AyFS9nN3bKaUYMcDoap4MxauoO7LN6GDAZL5PxcjJeRMSa8TEV+2iMvywqkWxGcai4oEnqYV3MNKCUlVX27DpUsD0TKtiCB+tIrFSyGviRKuemXTr2STT1EJeJdiGIRqlqVYBzMygJrySlJNw65zUMIQ+XmWPNgDT+8iBS/GUcjg6Ris8SgXFsZ+C0C8bvjsOmGl0PLMfLaLxskvMazYgeTufh9Jc47Qj8DOsC2Ai4+dKHLl0B+h/Q1sC5qvyomb9MHpUYNEs5ZWW2ssqcXR8ATKy9r+qrS3582ayqqlUOO90OVGV0vevmz+9Fg9LnmJaO9TDfyuiUwg2VhAsxJeF7eSgJw7GCefGGaY70/bDetaj4y0xYH5sGlKRQLDo4fQqn22PtKrdhHNkhwKd4+RwvpzWfPssApw/idKvZC3r02u7CcTOvePTSltWtlvLq7/YQHSkj8HJc874kj0oMmqWcsnKPWauXXS9a1v4jhD6X/+Ty9ZbdXa2r7q16S0dK6wzvHBi8RtIfmAdCTrOcJ5f4fCtTSsJu5K8kzHsPAv4ydKS/WJUDY87Iu5PDZ7XJwOm3OD0Jp52AYdg0qgFYorkULw/hpaaMK1znIELv9U+ZM3bCtO16g0x57bLdTt5989c/wr4Pd2H9uCMpwFy+GaWhEoNmWBIq5pSVt5WVDNd+HU9YNLD7iXP5z/tDxrdqsWpRiyo9CPgYL1/g5fS0LK40fq9whH2q5ev7My5yQex3qask/Dt1lYRT05SENcE7su5BUGZ/CuMvQ0f6oiyDCkRHElJWJwanj+B0W6zicBfmbDQM+GJyfzqe3IlWzaeceFGPv3wc2Gj7i8bditMtMErgXxjP7zBz+Q/wJflKNiMPVGLQDPmhYmauNjoNKHiwjsIe0Ku/W9LtR/v+4fnBQXb94+C+NcBfMc7t4epVa8qlSZ00s/epJoeilapFwZSEp9VTEvYlUBI+/wL7DLCwlLECEfCXU4EDSd6RPqPP6loBp3NwejxOOwBHAR8MaEXVzevTDuvHHYWXvo1cpRkFQoTLgP9g/ZfnqHJYnWqJ0+k4dVinwQnY92ILYCRmLn8X2c3lm1ECKjFohm4RxTyww4CbMWiK0BkLfEdg/OWmdfhLp4/Vy65XAof3WcIOVbWgnhMSyq47k0+fakxIU6ompRaui5SSsCeBknDI13Sb/ASo55NQSbhmvSn+si8JO9Jn8llda+F0FE4Hbfg58/+1gBXYwOwjgGl4+Qgvx5R5hU0eIrQQ4T+E7XKwuyrXZ32DGSzcidOBWLL/ENZ9cBxmLv8+XobFvvB1CJUYNEs5Za2PiVcaDnIXdsQmtgwEXgV6q2YRG9XNro+c25bV1bWATQdagpf7Y86uqynvNKBQzZq3UjUWpCkJj9qVhR90opZASYhxbA/26z71j6T4y3I40mcWn63FmFEL7muWYsMsjsN6eTcD7sHLYrzci5f1y7nGpoig/3IarCnL9lXlf3lfwOlUnP4Ue36cGlxjK+AhvCzAy2146Rr9ytctVGLQzG8aUGZ0I4MgQ4TTsFaH9sA1qvxAlfycBpze/11rVi5twWzgPqAWk4JPw8vHeDk2ytNnqX2qESEcoZeUWrhRjKqh9VYHMwtrV/nnqtqq1UP/+NRPvvym37ltWi7j6iPO+6OOlGvKsLTYPD4rHnbK+SdON8fEaw9gz5SjgVl4mYiXI8q6xiYCEfbD2qM2AB4DNi66/9L25WbMXH5TjA9tg1lqzcPLOLwcFMnC10FUYtCspni3iDqCjDT+8ias//JQVS4o4rptaoU5OD0Gp+2Bn2PZ9UDMHmsxXu6LSMEW8qflnAaUtFo4H7QG5uL0axmu57c6ZvU3z044kN5dZq6c9pe+cv6h155PeZSEhU9OWhvh9EucHoFxbCcCk7Hka1TAsd2Bl+45r7GOQoTLMVu6VsCvVflxZNUSp5/h9DCMdz8bqx5tBzyJl+/w8je8dI7kXusIKipoprlFzC7yEmtG3QX85ccY5zIb4y+fKGJNDSfROL03Lbu+P/j74ZiCbRJejixy/ZDqU51SwjVKRU3wWhHN+oJ0JdgDEfbGfjcbAk/N/G6DNut1nrsh4CmPkjBUVlf+NKAkYKec23G6Cfa7eQQLBscDc/EyAS+HlXWNFYKAv3weGzO5BOMv/xzLzWxfbsBpfyyZeRpLcE4FvsXL23jZL5Z7r2WoqKCJlRKgCLeIdCurNP5yU8wFZYOs/GXjyD6JxrLrI6mbXW8J/KsEBVt4yivnHNPQaLqcE4nSYYnEiFt7AC9gydEFqhysigZKwuFkVhIuxsvdMSoJw8lJ5RxEUZlwOgWnw7BTzhlYsrMN8Che5uPllnWVYxOhD/ZMGYKV9jcsiL8sBU4/wOlBWFXvPOxZuSPwb7x8g5c/46V9Imtpgqi0oBkKUIoJcMbDjduumhR/ebUqe+bNX2ZGKPSYnPUnGmbXD2PZ9XGYgu09vBye5/1K6VONCqFvZSwO8wVjRcstOeBp+MeIHTDOem9VGvKXDZWED2KVi2OJT0nYCxOfNf3hBnHB9uUmnA7AytlPYA/skzCObSxehpZ1jQlChAMwvUBv7CS+sWrCBuYAZi5/LU77YsnMcxjFdRZmLv8GXvZMfF0VjkoLmsWfsmrFBBmjD9kJ4y8PVuXCCNeUH79n2fVPsOz6dCyL3Bp4OFCw3dpIdh2qcovpU40KXTC5e9khwvqsP/uP/HsotFsyB+u/fLnRN5qS8GfYw/kU7CEVKgkXRqgkjG9y0toIp5/g9FCsWnAOpjoeDDwdcGx/xUvHsq4xRohwBTbWsRVwtirDKmJ+rNP3cbo/Vq35LUZp7Qy8hJe5eLkGL9VlXWOFoNKCZlEzV0XozF/PsF6mKTXfYZnbUxGtqSZ4LYzfs+z6b4GCLcyu22Jl3FwKtrBPNfnMM4VkpgE1gjWO9N916cBBT8D0DXYuuP/S9uEWnG5MSknYmrpKwkNKWGZJHp/rLGxfrsdpPyyZeRarDp0OzMfLGLzsU9Y1RoiAv3wB+B3GX+6qyg1lXlZDmLn87zFz+R2BF7Ek+jxgUQehQwur3qyzqLSgGZ6yJuT7BhF2Amaw3mw7NfzlV/uoRtpfGHJWxfN7dbPrX2PZdbqC7aa07Lo75Z8G1JokpwFlgAgXEzrSX3jVNJ48FLosKK2to66S8ExSSsLRJSgJk/RZXTvhdBJOh2L7ciEmutsJeAEv8/ByXVM+5QT85VeYNd7nGH/5ZnlXlQecvovTIVgy83/A3BZCiw5VdMDLbLxciZc2ZV5l4hDV8lcGQggyEdhS0byCuQinY2PWqvhkky/ZdHJfoHWUzhyCTAb6K9oyqmsCYKa/12G2ZS2x6SrvDt2L/2fvvMOkqpI2/qsh5ywCEhRMgBkVMWcxr3kPuuaw5rAq5sU1rq6Ka+bDzDG75iyKOSDqLopZUIKiKDkITH1/1L3TPcPkvn3v7aHf5/G50nTfW8zpOVWn3qq3+r/QnUWKdo70ebVEUKn6G/CSorvG/nxBsPTVrljacxdU7gF6Ktok8geaMPy12EDfJtg6TADOx+lL1dpqxWcLgdcUbTCnopogI2Q2gF6i7fP2EBsa/09ge+xkUwq8BwzHaaUDl2OxqxbItkOEoVjfZVOs1uHAVKRj64nGI2ReC6HFvH4IduhajhVbnoPT8claFw/SdtKs1bSIoP/yEUwfdhmwJ2t+u4ioR1kZ8sPvWQXb7pSPrgc9/zotf3+EDglWsIUtL7GrAYnQNXjurlgx2GrBRPr2mHOKHk6/wOmelK8k3IRMJeEN1axD3HNWVx44/RinO2Prcgkm9jEEeAMvv+DlyrSfckS4DGvtaAKcpsoBhewwAZbD8vnKfIyWuBrrqd8e+BAvM/ByEV6iD25ThLQ5zTbA/OreEPRffg0cgOl99gv4y3wVZLQin/yeVbBdhdMe8xqx8ctdoc1SSshUsL0TcwVbWC38TYzPzPCXlg6vOJE+v2sAlVUSvoh9H08D5gWVhNtX+FTcc1ZXPhjHdilOVwU2B8ZhE3GGY5KW4/AyOFEbK0KBJa1aAReQ4S9vTNaoiGHD5YfjtAuwHfAuptl9KSZx+RJeNqjuFoWKtDnN5lSjBlTGX1rB0DigRxZ/ma/iFVOiiQFtD2bJLjtC64N4FIuuZwJbkKlguyoGbid2NSARLiLkLyufSB/bGgBhJeFu2PfxQky4fjAwtkIlYRqVkxounH6A0+2wIOoKjHffBngXLz81F5onaR6ACD1Z0rYt2rgx1qZWGPxlLnA6DqdDMAnU67B9eGfgE7xMxcu5VD1cvuCQGqcpSBOMu6h0WoQIp2KcRkvgclW2q9B/GfkoK0E6UVENKL8YALC4MZOD6Lobmei6PXAuMB8vb+Qxug4HYOdd4SZIs7+IRaeLgW1UubbceygT/o5rDTKw0+flOO1OJZWEu07n6OCdVY6iKyIPcLoEpxfgdBVga+BtoEszoVm7Etrh5ZWAE40VAX/5DYhQsnQppkKWZBV8vHC6AKdnYcPldwY+xIRSrsJOn88FtRwFjdQ4TWCd4FpOczXYWB/FCn6WArurcmG59+RvlFXI7/0Q8X2rQvgzyPSplo+uL8cCg62x6PpnvFwaMYcQVgtXLeYQAYKJDlOhTKi6pypvVfLWkDeMaw0qR6aSsAXm5H+d35jOKCx6kFdX1krCxOH0LZxuBbReoiwJMhQ7AhPwMh0v58dxyinHXzZetIimCxcWOn+ZE5y+gtPNsDGHN2Fp6qHAZ9hw+TOiHHQRJ9LkNMPJGmVtBSJ0wPjL/TGH2E+V5yv5bL5GWdWsBhQtqh6ibdH1hVnR9VvYGLWLsCjuVbxsEoENqwDLlPyVVVeYSP8UsEY1Ex0S4VirhHFsl+C064SO/FgCNC+lE8ZfLcDL63gZlLCVKx+cLlqsLJ6rzMWc5vuYWtPl2DD5F/AyoNp71ANB/+XrZPjLwTT+I+mWsfTA6TycnoLT9sCewMdYa+F1wBK8PImXftXeI2VIk9Msd8oSYTB2EumLzUtcrZr+y3yNsgq1cCdFfN+qEPapVi+kYNH11hiPey02e3MHYHwEFWx5VQMS4WLKT6SvyF9WRNxrUGssakyLUmEB5SsJtyVTSXhxQ68kTCWcjsXpYOyUMxIrLtwVmIiXH/HytyhOnyL0xKqtt8WCuu6qfJDrfRssnD6L042xLok7MEpmb+BrvHyHl5MK4fSZJqcZnrIminA68A4Z/nKHGvRjw0glapHzPsE1Lkm7VTE1oNopzFgF29k47Yw5zfcw3dhLscrCF/GyXrX3WBGtgDl1/EyNCNLsLwEjMKe8TbUT6TPoHVyTlBWsCqYGVL6ScBvsu7sK4b+1AVcSphp2yjkdpx2w1OBHGP1wDbYuzwR9unVGhr+kK6ZxvJZq9L83DRJOf8fp8Thti2UR/4dpdt+ErcujeOmToIXVIhVOU0Qcb3MgpUCjp14DvR7jL4dW5C+rQDieKepRVuG0j/pOSKkratWnWimcvobTLchE1/MwvvC/QQXb2bWMriOvVM3iL3cmM5G+Mv6yMoRrkMZeyBWLz5y+idMtyVQSziFTSTitoVUSFgycvoDTQVi7yi1Y4LYHMAkvk/Fyam1POSJcifGXjYFTVDlopeYvc4HTx3G6PhZk3oX13e8PfI+Xb/BydJNG4kRksoiUBtc4Rv5VicSdZvADGIW0b06/b6B0r5bws8L2Z6ryQi1vExavRD0IuAt55vcqoC019KnWiEx03ZFMdN0dU1dZhJdnq4qu81GpWmEi/ZPUfSJ9F2BpjGtQK1Q6ZzUbmUrCTmQqCbthlYSLG0olYcHB6RycnoTTdsA+wCdYNmMkti5P4GWNyj4a8JfjsB7RBcAWqtwUl+kNGk5/welROG0N/BnTH+8L/N/c0YwZcyK9O7XeSrC1GpWk40zcaWL9Vi3Z/Tv4vi9W1d9D4PWz63CPfI2yake+lGgqR7V9qnXGitH1QmB3LLqegpfTK0TXkVaqivB3MhPpz1Jl33pE5HGvQW1R9ZzVilixknABmUrCHwq5krCg4fQpnG6EFdSNxjSf9wG+xcu3eDkhXJcs/nIbLC3bo8hf5glOH8TpAKD7o++z4Oc5nTnvocn8Nn8cvTutD0bbXZGUeXV2miLSU0ReE5FJIvKZiJwWvP4PEfmviHwiIi+JSPea7hXA+gIHjYShl2KFb6WZ12uHfBWv5F+JJkDQp1pCFX2qOSETXbcnE133BK6nfHQdSaVqEJG/jAk0LMIm0teGv6wMLckDxxoB6l5ZXXkl4WpkKgmfKrRKwgYBp7NwegxO2wAHYdXrawC3AotGH3fUG6DfYsH5QxT5y3jgdMaBN27bcvXTf+CHWb3YqM+LTJlVVtpQF/9QBhE5TUQmBr7r9Prcoz4nzWXAWaq6LqaScpKI9AeuUdX1VdWmd8DFtbyfnWpeHQHPX7Li67VDwasBkakenpbXp2Si6y7AKLKi62O+5lIA0fqnuQP+8kcoayvpUd+J9IIIdkqNTw2o9qj/7FeoWEl4O1ZJuBcFVknY4OD0EZwOxIry7jnHX11yzKjRW4uUNrn6kLNn6hh5SccUlyUOiHAujBUrHbiQCZN3z/7rOmfDRGQgNhJwMyxTtKeIrFn9p1ZEnZ2mqs5Q1QnB/8/DWgF6qGq202oFtU7Dnc+K6beFweu1ReSjrATpFvzv9GrfGB3C1Ghu469qC4uujwui6wOAiTNb0A7g2yd5BC+P4KV39Tcpjyz+MqqJ9GG2Iq41qAvCn01uxWdWSXhCUEn4J6xKOLuS8LE0VxI2VMgw/VWG6erXPHtOk8Yly5aMu3Dbyefsde0qWBp3AV7G4Mv2iCIiRFBp/yxwFehS2HlxhWxsXf1DiHWB91R1oaouw5TW/lTXm+TEaYpIH2zq+vvBny8XkR+BYdTypKmqHvP+UzBHOwU4Nni9ZhtslFU+pO5CJxZX5ezawTXqYqaa4fQxnK73fDc+QaHnQpZjjnQyXr7Gy1E1nXpEGEGGvzwzoon0oSJTXGtQF+Q+Z7UinD6B0w0oX0m4H5lKwmOLp8/8Q4TeWKC2DfD1stImXbe+9K3VsVS6x/YbB0zHy+f4ZKs5GxJE6IL9vu8OTIVGPWHs0dTTP1TARGAbEekkIi2DZ/Ss4TMroN5OU0RaY/PhTg9Pmap6gar2BMZgE9hrBVX1qtpHVUuCa11+IPkaZRW3Ek1Zn2pMz1sBSxvRAWFpY6etsMBnEtYDOxrr+/R46ZH9mYC/fAULkhZi/OX1EZm0bnBNhxpQeaxCforPKlYSHoJxbH2xhvCFeHkQL3X+ZS+iZogEKXJb34eAtcv4S6fTcDoM49mPDt63LjAGLwvwchdeuiRjeeFDhG2xtGtPrKWnlyo/5+gfyqCqkzARkpeBF4BPscC0TqiX0xSRJpjDHKOqj1fyFo/12sSBcGONWg0oLMiIWw0oSfHvzNxKpx6n/clE12Cl4FPxMgkvw4KJ9D9i1VvfY6pN9eIvq0C4Bp9HeM+o0IE8KieVwelDAcfWHbgfi7YPBn7Ayxd4OSzvNqwkEOEqTNaxEXCiKodUmi1xqji9E6drYQIojwafOQKY2UZo08QyLkXUEiIMx5TfmgHnqbJHPnpfVXW0qm6sqtsAv1GPTFF9qmcFO3lMUtXrsl7PJlT3Jr5xSeFzo35e3Eo0XbEh2vnfiKvGipWqlUfX6zz/ya73N220ZCpot5ZNFzxL7vxlZYiGN8wPYqusBsDpDJweFjz3CCyNvzZwb3DKuQ9f1mdbRB0QZEvewKYILQA2V+XWWn3Y6RScHogJ+f8V+L5EKGlZQku8zMXLHXjpkDfjCxwBf/kccCUm7LKjKlfl73mySnDthVEfD9T5HlrHnnER2Qp4E9vISoOXz8c21LWD16YAJ6hqfitBAUEew/7xayoaWRpPkI+AjYGSOBrrBfkZaKNoy3w/q4rnC7Z2ExStVvi9R4dpI6fP7n6qiHLdsDM5fehIsBPyCJw+EqFNHwMbKpo6Hk+QUuB/iiYnj2cp2muw6udwluRnwD9w+lC+HisjZDaAXqLt8/WM+qA+dgX85YdYNfmXwKaq1E7Gsgo0GiFzWwgt5vejFCtSVCwVeDFOn87l3kkjyrUXoSswHstm/Qhsosovud63+mfKm1jF+lLgTFV9ta73aFzXD6jqWxgRXhHP1fVeESFfo6w6E68STRtyVQPKDTVWqorQCHgJeuwALCxh+Y6nDx25IXA2Jpr/MF7mY1zQuTjNtaK5M9YSkyokMGe1cjj9ETgkKA46BjspDQAexMto4GFsHfK6ERUqRNgbS602wU4cw6JICZZC6QJlAZbCPw04A9gQeAovc7Caj/NxutL2eoqwPeYzmgfXPeOQIlTVrXO9RxoUgXJFvkZZxa1E0wzLsSeFaitVA/5yKiYM/y2w2rLSxu/h9Dac9sXS5E9ikfXRwC94+QQve+dgU1ssXZY2xD1ntXoYxzYKp/2wdpXHMUdwJDATL5/iZd9EbUwZRLga+76G/KWLfNO2dbkBp72x2otnMZrjROB3vHyIl10ifWYBQITzgVfJM3+ZLzQEp5kvNaDYlGgEaYatRdRDtOuCUFxhhRN7MNHhO6zh+zEqm0jv9Buc7otFjqdh6ZYNgCfxMgcvt+ClXR1taomNPUsb4p6zWns4nYzT/bF1OBnrm10f+E+wDretzBybCE1EeBM4B8vsbFZr/jIXOP0Cp3ti3Oc5mIjJIOBFvPyGl+vx0irvdiSIgL98HptxugTYPp/8Zb7QEJxm5KOsspRo4kprDQyuSU7yqLRauNxEejhNlQOqjQotur6xQnQdFkn8jpfxeNmtJmOCNWhMOtWAwp9V/D21tYWtw804XR2rNXgaW4fjgVl4mYCXoYnaGDMC/nIasBW2dt1V+ShWI5wux+k1OO2JBTMvYdTM6cBcvLyLl21jtSkGBPzlD8BuwbWXKuOStap+aAhOMx9Sd6sF17iUaEKnGXXbTF0QVqp+CmUVhWPJTKQfosqNdbpj5dH1JsDzePkdLyPx0qYGe9KoBtQnuKZxxueKcPoVTvfG0mFnYcHZRsBzeJmNl39Xsw4NAgF/+TVW8OOBdXMt+MkZTv+H012xrMCFmO70YOB1vPyKl6vx0iJRGyOACDtgtM9qWBDdJ98FP/lEQTvNfIyyChC3Ek2oY5rkyaU7gKIzgokOU4HtCfhLVd6r951XjK5fxPSCTwXm4OU9vGxf4VPhGkyu93Pzh7BoKh7Jw6hgp8/rcNoLKxh6HsvUnIytw/t42SFRG/MAEa4hw1/+VTWagp/IYL8fl+O0O5ayHYvRTpZC9vImXoYkamM9IcIFwCvY4Wa4ajwFP/lEQTtNMlJ3UasBhYIJ0UmkVY9wiHZiakAE1cJZE+lXxSoLV+Qvc4FF17uRia5/AjYHxuJlFl6uCaLruNegLoh7zmr0cPo5TnfH1uE8MxChBwAAIABJREFULPDcDHg1WId/FTrHFvCXbwN/w/jLQarclrBZ1cPpRzjdEcvOXIpl0bYC3sbLTLxchpdmidpYCwT85QvAZRh/ua0qVydsViQodKcZFq9ELbMWtxJNmA5OUvmmHedeuZzy/OWBeYsKK4+u2xFscJOe5vQtZwLpVAPKKCcVOmwdrsJpD6wv+RVsHc7EOLa38ZJzmX7cEKEPRgcMIcNffpyoUXWB06U4vQSnXYEtgDew/sILMMH4sXgZlKiNVSCLv9yVDH/5ZrJWRYdCd5r5UgMKZ7XFpUQTqgEtjel55SBCI7Z9rQ3/HN4ccwaD68xf5oJKouu157Hqm6/Acs8jeLk8ZdF1vGpAccHpxzjdGVuHS4CZmNN5Ay+/4OXKlK1DpRBhX2xkWxfgflXWSZy/zAVO38PpthilcTU2qH574EO8zMDLRXhJhWxfBf7yGQqcv6wMhe40+wTXqAsyugEoGv1A6MrREZunGDuMv9RpvLGd0POHJVhEnsxE+qzoescd+PrNLlBiDeLnY9H16ymJruOcsxo/bB0uxWk3LHU+DluH4cDCN1ej9ZDmKd07nr++OfAfjL88XpWGo83rdBFOh+O0C7Ad8C7Wp34pNkbuJbwkplAlwkVk+MtzVNmr0PnLylBnGb00QZAPsdRepFJ3gvwIrKJoLFG1IIuAOYquGsfzyp5r/OUToE058GHw7kltvDwVTfCCTAM6qacDduo5GuNdwaoMbwMux8V7Og/mrE4HnlN0jzifnSjshHkxcKwqXQBE+BkboH1Z3OtQESI0ocd7i5g2uBHGX26TVDo2VplB450vxfSIOwavTgduBK7FRTuFp7J/mwiCTQ3ZBQv+d2lI6diKSGe0WHt0IT9Sd3Er0TQj4iHaNUGEKzH+sjFDn7+dhw+BxqVpmltpa1A+ut4GeAdb90uw6PrlmKPruOespgNOl+D0Apyust1U5r+7mOXYOlyMrcMreNkoCdMC/nI60wY3otMXpRQaf5kLnC7A6Vk47QTsjOnodgOuAhbj5Tm89K/2HjlAhG5YIeYuBGnZhuwwofCdZr4KMmJTohGkFaZjGosaUNB/OQ5LtS0AtuC5PUJlmzRVqrag4ho4fROnW2IO9TpM1GIn4BO8TMPLcLw0yrNdYfFZkj21ieKNxSzfcirzMY7tWmyddgQm4GU6Xi6IYR0AEGE/7HvbmYEP/MEp684raP4yFzh9BaebYYVcN2G/30OBz/AyBS9nRDnEXISdsLarHthItdVV4w3+k0ChO83Ipe6ylGjiIq/z1TazAoL+y2kEE+mBHgF/maq5lcEaNMIKUVZE1dH1lVh0/TxeBuTJvLD4LK45q+mFZQHOxmlnzGm+j7UqXYatwwt5XAdE+Bcm61gCHMcBLsmxeumB03k4PQWn7YE9gY+xeb3XAUvw8hRe+lV7jxoQ8JcvY/zl2ars0xD5y8pQsE4zS+ou6oKMsGcyLiWacFPJ68klmEj/LVapW34iffzVwjUhdEw1j5arPLreDZiIlx/wcmaU0TXxz1ktDDgdi9PB2DqMBOZhLQcT8fIjXv4W1ekz6L98B2uLmYf1X46K4t4NDk6fxenGWLvKHRjnuBfwNV6+w8tJdfr9UOCPViGPugjjjq+N3vD0omCdJhlVlnypAU2O+L5VIe9qQAF/GU6kP7mSifRhtXBaSsPD0/fkWn+i8uh6NeBfZKLrtaq9R+0Qfu+S1AlOL2wdTsdpRyw1+BGWvrsG4z6fwcs61d6jGoiwBhbQboFlRrqtNPxlLnD6O06Px2lbYH8sQF4dCzQX4eVRvPSp7hYidGNJ27aUNm6M/W72VOWt/BqePhSy08xXQUb4C/1VxPetCuHJNvJTXiX85eaq3FzJW9M2tzK3NSgfXd9OJrr+Ei/f4+XkHE6f+So+a3hw+gJOB2HtKrdgJ5M9gEl4mYyXU+uyDgF/+SX2fb1PlQGqqRwdl244fRyn62PtKncByzBH+j1evsHLsRXXJcNfilCybBmwxsrAX1aGQnaaocxaoasBhUO0Iz1pBhMdpmP85VcYfzm+ire3JdkB2BXRN7jmtgYWXZ8QRNd/wlKqfYB/Y5zbYzVF15Ug7jmrhQ+nc3B6Ek7bAfsAn2Bp7pHYOjyBlzWqu4UI15PFX6ryl3yb3eDh9BecHoXT1sCfsd+3vlgadyFeHsRLDxH+TshfNl68mKYLFqws/GVlKGSnWekoqwjQM7jGxVl1BZYr0fVTBfzl11gk+RCwThZ/WRnSNrcyXINPI7uj0ydwugGZ6HopsB/VRNdVILY5qw0STp/C6UbYaXE0luHYB/gWL9/i5YTsdQj4y/ew0VnzgI2L/GUe4PRBnA7A6If7AV22rOTgna54eSroJY1Klv0BbEPjJUuSNTR5FLLTLDfKKkKsCqii0YmUV4/2RKgGJMJVZPjLEyvhL8u/v6ZK1WTQDVuD6FsHykfXhwCfUT66fggvPSv7aAJzVhsunM7C6TE4bQMchA0rWAO4FePYHv7HgRduhdUsbI6tUzfVyH/fi8iG0xk4PazFEQv7tjt27uxXP9uJPl0m89PNXZvqGHmxpdBSrEVupUUhO82yUVYR3zdufq81EeiYBhH5G8C51G0ifVipmqa5lZ2wyQj5hdOHcDqQrOga28B/wMsXeDm8wukz7jmrKwecPoLT9bCA9R5gOXDghfte/uaX167V6eL9/v62jpH1ivxlPBBhl8VLW0xe+Eer9sCTH122ca/ObX97GChpIjRpW0JbvEzEy8FJ25oECtlpdsZSbFEjbjWgpuSoBpQ1kX5r6j6RPhyAPTkXGyJGG+JcgyC6xoTYj8B+hmsDd2Oat/fhpRuZyuofYrNtZYLTn3F6hAzTUcNuvo8vpq/Nmqt+zYj9R2yJrcOYYB2KyBNEGIHNu20CnKXKvh2P+/1HnB4MtFxUyqJSpRRrlXsQL/PwMhovnZK0O04UstNsR3421hYQ4fzIaiBIOyzVUe/TcgQT6cNK1TSpATUnpjUoBxvSfA9O18F6Vx/C1udQYPrf/8vo4J1RF58VQVm25H3gNP/OoXP7n/PF+iKshn2vBXDAdLx8jheXqLENDEGl/SuEsoiwlSrXlXuTU/0D/phn+0tf4HEs6D8K+BUvn+IlFdrV+UQhO83Ii1cEaUS8/F54cqmXGpAIV5P7RPqwUvWz+tgQNbLWIK4JM5XD6Y84PQT7nh0HfPtTc7oCPDuWK/ByJ166JGpjA0LQfxkOwv4My5b8D6fTcDoMW4ejseBuXWAMXhbg5e7iOuQGEXpge9COBLJ4qrxT7YecfofT/bEA9xQsU7U+8B+8zMHLbXjpkFfDE0JBOs08St3VXokmGoRqQN9W+64KCCLyt4BzyPCX9Z1IH3e1cE0IT75xrUH1sNPnKJz2u391XgPYYDaNgCOBmXj5L172S9bIwoYIB2Ip8U7A3aoMXIG/tHW4E6drYW1Dj2LB1eHYOvzvoNY0jtfywocIu2FqZN2wk2Nf1TpkeWxdbsLp6hil8TSWrTsemIWXj/AyNHrLk0PBOU0RcfQNOKUXGCgSaZqm7ko0uaHOQ7Sz+MstqTt/WRnCStW0tFGEa/B9olZUgvlN6ADQYzHNgZMxG9cDHsPLXLzc3lCj63xBhJHAw9hedLQqR9b4IadTcHogtjn/Fdv0Bz7UjVbz+tIOL3cU16FmBPzl8xh/eaYq++fUf+n0K5zujU1tOgtTzdoYeA4vs/Hyb7y0sWeLE5HJIlIaXAsm3V5QTjP4wY6if1DF+CUtgFER/sDjVgPqE1xrdcoLJtKH/OWYiCbSd6IhqQHlF1ZZbdH1zThdg0x03RxL487Cy4SGFl1HDRGaBfzlqVj1+Iaq3Fmnm9g63IbTvsCaT89naVOrdT4WW4eP8bJXxKYXPAL+8lWMv1yI8ZfXR/YAW5frcNoLKzR8ASuyOxmY8/Ot8s1OAxmNtQ1KcI1yH88rCsppAlcALXtuZX9Y2xI4LYPXo0CoShIXvxeqAdWYnhXhGjIT6f+qyqER2ZA2NaBwDSYmakXlWLGyuvLoeiMy0fVNYXRdhEGEfljbzmbYOht/mQucfrP3DBa2+IY5wBkYR7ch8FSwDjfjpV2Ophc8Av5yKrADdkJfrUb+Mhc4/QynQ7Gg8jxgxipt6fvyeTT/9fZWjNh/i/CdUe7jeUWhOc1eAGtsCCjcvDn8djtcfyi9ggnmuSLsw4tr2scqmBpQ1eIDxl++DfwNc26DcuAvK0MylapVI+41qAuqLj4rH10PwNJerYCTgDl4+QAvO8VmaUoR8JeTgI7AXapE2n9ZCuD0Bpz2xgqGnsXW7UTgd7yMx8suUT2vkJDFX66KSRL2qxN/mQucLsfpVTjtsckFbfSViUNo12Ix+w4q123Xq6qPpwmF5jR/ABi3GwzsB3+MhTYt4PShCDAXL+/iZdsc7p8/JZrKUe0Q7WAi/TRgCMZ7RjqRPoFq4dpgVaBU0VTNRqxT8ZnTz3G6O1nRNbAp8DJeZuHlXxEFeQWFLP5SgCNVOSqvD3T6BU73xLjPc7DfpU2AF/HyG15uWFnWQYTLyPCXZ6hyQBL6sSIM/njKz+x85du0OOIZhv6zHAtTEP3PheY0zydwMhO/g92vgFZHsvCViTyKbfyDgdfx8itersZLizrePx4lmgxaUYUaUMBffoXxl/er1rn/sjZYO7imo1LV0JF0cawhwmk0te+pzYqusYKIV7D+4jOxIO+dHIO8gkDAX36A8ZdzgA1UuTs2A2wdrsFpT6wt4iVMQOM0YF4QbG8fmz0xIuAvxwIXYHvnEFVuSMiW04F3oLnAZUuXlQ5leuacuxDb31OPgnKaquoxkn8KJnk25Y/lHLvTFXogTrth0fxr2AnO2jG8vImXIbV8RBvi5feaUskQbRGuJcNfHq/KYXl6fhorVdtA5MFBFMhNOcnpxzjdGTv1XIIFeVtgQd4veLkKL82iMDRNyOIvN8VS7j1UE+wJdvo/nO6KZQEuBH7Cgu2xOQTbqUQWf7k9VjexmirvJWCHiPAYcD2wFGQoXHQEWfs4cGywv6cesThNEekpIq+JyCQR+UxETgtev0ZEvhCR/4rIf0SkfU33UlWvqn1UtSS4Zn7QTsfjdAfsBHc5Jk+3FfA2Xmbi5bIaNqbY+D2hrCG77OSSxV+eRWYi/R15NCM8aaapUrU58FvSRlSCcBRdbspJTpfi9NIgyNscGIfNmzwXE4wfh5fBOT0jJRDhYDL85Z2qrJ8a/Vg7fV6O0+7AIGAs9Q+2UwcRhlKev1wzNv6yvB0dMIe9H7bXraHKC9Xu47W+t9wpIjNFZGLWax1F5GUR+Tq4Rt56FNdJcxlwlqqui0V1J4lIf2xG20BVXR/buM+L5GlOl+D0QpyugumxvoWlXi/ANCzH4mVQ9kcEaUK8SjThKe8HKOMvp2P85SQsIs/3RPq4q4WrhSDNsO9ksmpAlSOaGZ/ZcPoBTrfDgrwrsCBvG+BdvPyMlxF4aRLZ82KECDcBD2L85RGqHJ2wSVXD6Uc43RHLAlyKZX/qEmynCgF/+RzGX56WIH85BKN+VgdeBXqqRkoF3Q3sVuG14cCrqrpm8MzhET4PiMlpquoMVZ0Q/P88ypyCvqSqy4K3vUemcjI6OH0Lp1tj00T+iVU/bg98iJcZeLko2JjiVqLpH1y/CSbSf431Ad6vSv888JeVIVQDSkulavgzmZqoFZUjrOyLXjnJgrwLKgR5nQl1QL28ipdNIn9uHhDwl+MJq4aNv7wnYbNqB8sCXILTrljq/A3KB9uvVwy204SAv3yd8vzljQnZcgb2PW4BXKrKTqpENjMYQFXfYMWs1D5Q9n27B4hcCzd2TlNE+mB9bO9X+KujsOqu/MDpIpyei9POWI/Se9gA6EuBRSPHMyZ4Z1z8nqkBbTx+COUn0ueLv6wM4ezQdKTMMrxhmjjWEGFldU4TaWpE+SDvWizI2wEYj5fpeLkAL43yakM9IcJaWLZkE2zObbdE+ctc4PQ9nG6LrcPVGG2zLZlg++I0ZQFE6IkFm9uSPH/5BHAdNoVqV1UuidGErqo2LjK4rhL1A2J1miLSGnMQp6vq3KzXL8BSuGOq+mykcPoaTrfAik5GAnN/bWbp0lvf5zi8nJv3jWlh8z5s8TZ8vMm+JDeRPu5q4ZoQcqxfJmpF5Yh3zqoFeWcHQd6OWJC5KnAZsBgvL+JlvWrvESNEOARLXXcERquyoSqpahuqF2wdhuO0C7Ad8C62EY/AsgAv4WWDJE0M+MtvsO/HoyTHX3bCHPY+WPDUR5WX4rYj34jNaYpIE8xhjlHVx7NePxzYEximWnWTf17gdAFOT8dpxzF9eAVgw9l0AK7CfiGew0v/6m9Sd4iwBj2m7857QwBNciJ92ipVw7aOwlADigtOx+J0MNauMhJbs12A/+LlR7ycneTpM+AvHwj+eIQqxyRlS17hdBxOh2Dfheuw9PPOwCd4mRZLsF0BIlxOef7ywIT4y60wFabVsdaqXqr1H3mYA34WsZmrwTXyHvS4qmcFGA1MUtXrsl7fDasa3FtVq2zyjwPftaERwIQOdANuwTiBocBneJmClzPwIrk+J+Avv2R2+8Ycdm+pqqw40SE+pK1SNeS0oyu2iQ6xzVmtEk7nhUEe9t38CJNi/CcW5D2Dl3WqvUeECPjLj8jwl+sXDH+ZCyzYPgunnTCn+SGWvr8KWNxKaFWS5701i78Me9cHJ8hfnonxvy2AEarsHDV/WQc8hU2+Ibg+GfUD4jppbgkcBuwgIp8E/+0O3ISddl4OXotSHq6uWBUoPXEz/RmnJ+G0PbA38AlWMHMdlhZ7Ei/96vMAEa4n5C9v/etC7j08Mc3XoFq4hHSpAXXF1IDSlDIO1YDSpZzk9AWcDsLaVW7BBgfvAUwKgrxTowjyqsTP/UuwFoKNyfCXaQx28gunr+B0MywLcBOwoLHQuE0JbfDyQ1TBdjYC/nIaxl9+gymFfRDlM2pph4jwJPAvjLrYWZW/x/d8eQBLl68tIlNF5GgscNlZRL7GApqrIn9u3BnRtEKQn4C2irZc4S+9dAKuBA7BnDxYsco1wG246n+IIjQB3sT68uYC26DyIfCToonoLQqyARYQPKBoKqYLCDITaKVoqqTNBFkL41kfU/SApO2pEl72xri2DYNX/sCK687E6XdRPUb+9JcFPHlnS7QxwChVjovq3rlARshsAL1Ea+z3zieajJD5zYXm8/pRgrXcLMUmfZyJ029yubcIe2DCJ00wScJD4kzHhj9j/q59gfFQ1io3KKF0bOwoKEWgPKNqNSCns3B6HE7bAgdgnNvqhBG+l0fx0qeyj2ZNpN+czET6T7Ev/QpqQDEijZWqrUkXxxoi7jmr9YPTp3C6EVa0NBpzmvsA3+LlO7yckOupR4SbeeKeMLD8S1ocZpqwDJbNV+ZjhXa3A4uBvYCvg3U4qT7rIMKVwDNY1uMUVQ5Ogr9keaNGGH/ZB5MkTIq/TARFp5lB7fg9p4/hdD2sgu5uYDmwP/A9Xr7Gy9HhL4QI+1PJRHrBiGosQksKaVQDaka6ONYQaZ7xuSIsyDsGp22Ag8gEebdiQd4jeOldl1sG/OUE4ESazYETNpqnyn3RG9+A4PR3nJ4QBNv7Yz2+q2Np3EV4eayqYDsbAX85DmvUXwBsocpN+TO8Gixr1oylrVsTyEGqsmuC/GUiKDpNyinR/FTrDzn9BadH4rQVMAwTbOgH/B+w8MDNH/4C9FEqn0gflqhPicL+eiJVcysFaUFd1yA+RK8GFBecPhIEeatizd7LsWzJZLx8hZejajr1iLAOti4bAZ9wVo85dJ1Ymm/TGxScPo7TDbBg+y6sxW4/LNj+Bi/HVrYOIvTGguttMAGUHgnyl0+xrHnz4KWdVbk0bjvSgKLTNISpyvop0Tj1OO0PrLbwj+YPbnrhB00f/eCgtds0n8sHlw6aomNkaYVPhDqmOfEbOSKsVE2F0ySTAk2jGlConJREW1A0cPozTo8IgrxDsVFza2Jp3IV4GYMvy4CUQQSHfUfaA3eoshFNEy10L2xYsH0UTlsDf8YCsb7AHdg6PIiXngAiQUrXHO1DwNqqzInb5KD/8ntgL1Cl6dy5qtaitzKi6DQNodPMqVhChmmLVkcu2nn895uWdGw1a9rUf6/29aZ9P1oduBcvC/ByL166YidSsNNpUgjnVqalUjWSNcgT4p6zml84HYPTdbHAKRTKdsB0vEzCyzAAEW4jIzhyqCrHx29sA4bTB3E6AOgO3I9N/DgY+OHnW1eZdeiW9z6F8Zcnq8Zb8BNChK2xQLY38BLN5s6lZOWuHi06TcNawbXeEyyyJtJ3Au6eNb/Tam2PmbcWRpY/gn35DwN+2v6nMqm8JE8uHbEChbQgXIMvErWicqRNOSkaOJ2G02FAS+Bo7Pu/DnD/ortbLL/7+MOPX7Xd9NnAQNWY1LpWRjidgdPDgFZLlzU+csqvvRat0vaXjvedeDjL7mv0h46RwUGwHStEOBubwtMMuFiVXclfE1PBoOg0DX2Ca71SlZVMpM/wl06n4PQgjDg/HvhudlPaoKCer/AyOmhpiRtpq1QN1YDSIh6fjbjnrMYLp4rTO3G61vAHr9jhP+P3XSqiJYdvcy/Tb+7RXsfII3jZP2kzGzpkmPZqevjSf/Y5bUqLvmd8893iP5o91qikFCyd/hNeJuLl4LzbYfzl05hoxh/ATqr8I9/PLRQ0TtqAlKBeSjQiNMP6LzfF+i+3Uq1i07dezjuAO/5XKtMaKd2wIdRHAUfh5VPgYpw+Vb9/Qp3RjKQVbsqjR3BN40mzOclWOscCEYbBefcAjUpKlt2+/L4mnwSnjYHAo3iZDzzUuQR+LZYBRYqAv3wMa0V76Ptf+v65+RGLNSgOOgZTThsAPIiX0ViQfi5Of4nYjk6Y0lRvLC07SDWVo/oSQ/GkaaizEk0lE+m7V+kwK2BZCa2WlzAX24xPw6poNwCexMscvNyCl3Z1/UfUFlmVqmn6ZVgFWK5oqsrXBWlE2tSA8gARbsd4NYBhy5c3PgGnt+G0L1Yw9CQW5B398xq0+7QXrfGyV1L2NiSIcDUm/9YIOLEcf2lZgFE47YdlYx7HHOuRwEy8fIqXSMZfVeAvX8T6L9O0R6QCRadpqBO/l8Vf1ncifUtgdvALcSNO+2AVtc9iady/Ar/j5SO8DK3DfWuLAcH1xzzcu77oQLo41hBxz1mNFSK0EOFj4Dgs8zBQtaw4yOD0G5zuiwV5Z0xdRul6TWkEPBUEeTfnM8hrqBChiQhvAudg6f/NVLm1yg84nYzT/bF1OBkT21gf+E+wDrfhpUM9bTmX8vzlbokIJxQAik7TUOtpHyL8m/L8ZZ0m0gc6pk2A8mkVp1/gdE/MaZ6NbdIbA8/hZTZeRuKlTcX71RNprFRNG8caImyFSZNyUiQQoT+mVrUhMAHTj606PW5B3g29JzNv4BTmkQnyTsSCvPF42S0G0wseQf/lNGArTACluyof1erDtg4343R1TKTkaTI1E7PwMqG2wXbAXz6DabQW+ctaoOg0Dc2AaocLB4ooH2IRXjiR/u56PCvUmq2cI3O6HKfX4rQnFkW+CLQCTgXm4OV9vOxQj+dmI41zK2tcg4RQWGpAtYQIh2EKNe2AW1XZRLX2FcKfL6U0K8g7B3MAmwDP4+U3vNyAl1RpCKcFIuyNVSp3wUaqrataz4DR6Vc43Rv7/TkLS69uRCbY/ndVwbYIXbDT6h7B53qrMrZedqxEWOmdpiCtsFNjlUo0WfzlIGyj6ZHDRPr1g+vkGt/p9H843Q1Lx1wQ2LgZ8CpeZuHlWry0qIcNqapUFaQNtgZp1K9MlXJSFAj4y3uDPw5T5cR638yCvGuygryXsMzNacA8vLyLl+1ztbmhQIRrMH445C9dJGlQO31eh9NeGP3yPBZsW5BfIdgWYVvgByyIf4Eif1lrrPROk0z6rVJ+T4SDyfCXo1XZIMf5l+HJpfY9obYxXYHT7pjjfhU7IZwFzMfL23jZug42pK1SNZQVTBPHGiKsrE5FgJELAv7yEzL8Zf8V+MtcYEHerliQdyEW5A0GxuLlV7xcU88gr+AR8JdvAX+jNvxlLnD6OU53x9bhPCwYLQu2Xxq+yxutms57DTudXqjK0CJ/WXsUnWamKGYFfi+YSP8gdgqKaiJ9qAZUPx1Tpx/hdCcsLXYpxo0OAd7Ayy94uRIvzWq4S1esUrWivF9S6B9cv03UisoRKictStqQXJDFX25Ahr/MT8rZgrzLs4K8sZgMnzkML2/iZUhenp1CiNAHS19vSV35y1xg63AVTnsAG6vyyvLSkg67rP/y1nNGt5dZt3f8XMfIG3m3o4Gh6DStnB6yOKuAvxxPZiL9BhFOpA85zdxOLk6X4vQSnK4KbIFVvnUknITg5XW8bFbFp9NWqZpmNaCOFLgaUAX+8pa68pc5wYK8HckEeb9ixS9v42UmXi6rRZBXsBBhX2xv6YJJEtafv8zFjmE6teRQXbv54YvkiieGzwVmdmz9+wDqFmwXQdFpQgV+T4S1sIh8EzIT6evLX1aGVQGUCJuSnb6H0+2wVparsNTbtsD7ePkJL3/HS5OsT6StUrVPcE1jCrSg1YBEuIMMf/lnVU5KxJBMkNcVC/LewOQJLyAT5A1KxLY8IeAv/4Pxl39V5dCE9GND/rLnstKmz13wyJXtGx26vCs243ccFkQPxwTjx+FlcNw2FhKKTjOL3xPhECxt2gHjLzdUJeq0XGestDt6OF2C0/Nw2gUbJfQOFuFegs3vewUvG5G+StXuwbXe2r95RO3mrKYMAX/5KXAsGf7ywYTNMliQty0WvF1NJsj7EC8z8HJxhSCvsKDAktatyfCXg1S5LQlTRBgOhPzlearskSWc8EEQbLcCrsD2hG2Ad4Nge0RBr0OesFI7TRFxfM/mLANk1O+gDwR/9ZeI+MtioZLSAAAgAElEQVTK0A5yKiSqHZy+idMtgbbAdViaece5jZkASL+5NMdLo7zbUTuEakCpKkbImrNaUFWFIgzAsiXrA+PJJ3+ZC5wuwunwIMjbDngX+y6MwIK8l/CyQXW3SBtE6MOStm3RRo0wuqG7Kh8nYIeI8BxwJUYv7KjKVZW+2YLtC3C6CrA18BYWbF9MVrAtIo7FtGUx7URksoi4mP45qcJK6zSDBR9FGxqzuAVwTBuTjx12Xp4n0rcAZufx/uXhdAFOz8JpJ2DndztbqnnLX+gLLMbLC3gZUP1N8o4OEPmJPgqEBUppnPFZKUQ4HKMV2gE3q7JpbPxlLnA6DqdDKB/k7Qx8gpdpeBmeoiCvUmT4SxFKli5VTYi/FLpi6dihWEV6L1Veq9WHnb6F062xLMC12F61oyoTpt/M/ed3QQKn0RsYtTI6zpXWaQJXQOuWtG4Gc9sDn2B0o88b5xOoATUmKR1Tp6/stgMjgz+9j514dwUm4uVHvPwtoY2pFRaxpA2hclJBqAGJ8H9QJrhxiConJ2hO/VAhyAM+xOaZXokFec/hpX+190gAIvyLkL9svGgRTRcmMqlbhO2xHvDVgOcwwYK6109YFuBsnHYGdvx4Mn90bYtcviosHgj7bAJYDcUVkRlfIFiZnWYvmA+f9YE3emAiGouD1/OGvsE1SR3TtQDu6cu/cNoe2BP4GON2r8HSMU/jZa1q7hE1mmJVlWlDGpWTVkDAX/4Xm4n5G8ZfPpSwWbnD6Ss43Qw7Nd+EBXlDgc/w8gNezgimgCSGoP/yHeBMrLhuEI3/yE/NQs22nI/1cK/IX+YCp2M3uZAm7Y6FG6bCrKUwblLZ3+Zzv0wlVman+QMAg76EP49f8fX8oPZqQPlDn+BqlapOn8Xpxlgl4+1YmnRP4Eu8TMbLqfncmATpRHrVgMLK6tSqAWXxl+thp7LuqeQvc4HTeTg9pUKQtxqWxl2Cl6diDvIAEGENTClsC0wApUeC/OXzwOUYf7l9lfxl/fHD/MVwxrnQ7UiYnTlH53O/TCVWZqd5PlAxhbIweD1fqLsaUPQIq4XL2+D0d5yegNN2wJ+wvr7ewEgsLfYfvKxB9AgDiTT+8tVrzmpcEOEIMvzlTapsVhD8ZS5YMchbDOwFfPl9H9qc2o6mcZw+RdgPy0B0Bu5XpX/C/OVuwbWXKuPy8Kgk9stUYqV1mqrqsXL8KViR+BTg2OD1fCFMz0bZ91lX1Dy30ukTON0geO+dwFJgX+BbvHyDl+Mi3JjSrAZU5zmrcUGEO4G7sO/uIaqckrBJ8SIT5LUF9gf+27sxJSNXoQVGMTyGlz75eLQI12MDo0uA41Q5LB/PqYUdO2D71mrYxJk+9eIva4GE9stUQjRdVf4NGoK8COwCtFd0TkI2/Ao0U7RuY8a8HAxcREZ2cAkmPP03nNZbM1aQGzBx730Ufaq+98kHBJkJtFI0NdM6RGgFvIcVKf0GbK7KN7HaMEJmA+gl2j7O59aErv+Q2dd0ocVf2rIUKy4DC8auBv4Pl9tmJ0ITTJRhMMZfbq3Kpyu8L4afjwgXQNkIr/NUuTpfzyqiPFbak2ZC6AZoUg4zQGvqU6nq9CGcDsSECO4HlgMHAT/g5Uu8HFHP02fv4JpG3rDWc1bjgAjrYRzaQOADjL+M1WGmGTNL4fCfWYTT1sCfsbR6X+AOTO3mQbz0rM+9A/5yBuYwP8d6X1dwmPlGwF++AFyGBa7bFh1mvCg6zXjRiXypAdUeTclFDcjpDJwehtNWwF8wXmctLFW4AC/346VbHe4YqgGlsa2jKSlRAxLhKKwApi1woyqbN3j+Mhc4fRCnA8gEeQocjAV5X+Cl1ilVEfbHvuedgPtUGZDjpKN6IYu/3JUMf/lm3Has7ChIpykiPUXkNRGZJCKfichpwesHBn8uFUmljmVbEtQxFaQDUVaqOr0Pp+tgZecPBfceBkzHy+d4OaQWd+kCLEuhGlAL7Pejyjmrsdli/OVobOM/SJXTEjapcBAGeZauPQJzfmsD9+JlAV7uw0vXqj4e8JePYt+FY1T5SwxWV2ZHNn/5NHnkL/MFEblTRGaKyMSs19K+Z6+AgnSawDLgLFVdF0uXnCQi/bEU334Y75BGxKsGtCLCStVo51Y6/RGnh2DNzsdgPNK6wAN4mY+Xu/DSpYpPt2fFqrw0IJyzmpgakAitRJgIHIllB9ZV5ZGk7Clo2JDmeyoEeSXAocBPeJkY8PZAWf/le8DpWIp+Y1VGJ2G6CBcBr2CZj3NU2btA51/ejVX5ZiPte/YKKEinqaozVHVC8P/zKOuR0kmqmspGdEEaYdMOktQxDStV88OD2cY0Gqf9sB7Hx4AmWIQ/Ey//xct+FT6VdjWgFeasxoEs/nIAxl/2KPKXEaF8kHccFuQNAB7Ey/xfb+/08Cptf5qBTQH5jGT5yxexkWohf3lN3HZEBVV9gwp0R5r37KpQkE4zGyLSB5PzeT9ZS2pEqC6TuBoQccytdDoZpwdgU0JOxjjL9YDH8DIXL7fjpQPpVQNKbMZnwF9+gqXzRxb5yzzBgrxRWUHe48tLS5p1bvPbgT/d0q3T5Bt6/65j5MKE+MtuWJZjF4K0bJG/TAcK2mmKSGvsNHO6qqbxtJKNMN2XZMFLn+D639ieaBvTzThdAxv4/RTmSI+b1twKknosZFls9tQe5easxgUR7sL4y1LgAFVOj/P5Ky2cTpZhOrXxYUsbn3z3jaXzFrWZ1bvLDx2A/+BlDl5uC4K8vEOEnbB9ojv2+7K6aqpG+a3UKFinKSJNMIc5RlUfT9qeWiA8aSYpcZZsparTb3C6D6aNeeZHHa2QYa+pDMLLbLzchJe69Y/mD2VzVuN4WBZ/eQTGX66tymNxPHtlhwjNRHgfOBVK5t788ikbtj1mbmfsd/ZprBbheGAWXibgZWgebbkYeBnLwJytyj4Fyl82WBSk0xQRwaLxSap6XdL21BLhyWVSte/KL9JRqWqnz+v32Y4rAdou5QuM2zwJmIOXD/GyS6I2mhpQ9cpJEUGEDbCK5gGYcEE31WS41JUNIvTDuOPNMP6yu2qZLvNXON0bC/LOwtKlGwHPBUHev6MK8gL+8iXCWaKwjSrXRnHvIqJFQTpNYEvgMGAHEfkk+G93EfmTiEzFBJSfFZEXkzWzHMKm6ljTfRXQnnTNrewH8M8B/A1L2Q7HnMcg4EW8/IaX6/GShCJPB4KxN/mECEcDEzAhhRtU2UKVpfl+bhEgwoFYENsRuFuVgZXylxbkXYfTXliB2AtYkHcyFuS9j5cdcrAj5C93xoY59FTlrfreL60QkQewQeNri8hUETk65Xt2pSjK6MUEQSYC/RVNLFARZAkwU9F6qaJEDUGewsS2eylZUnxeNsDGlO2AVRyXYhWkw3GaDzHqymxbBMxWtC5CDXV7hnAvFvwtw/RjCyIdm1YZvbrYJcJI4FTsu3WsKnfW6WE2d/Zs4BQytMdvwN3yNUfXwY6dgGew0+xTwL7FdGy6UagnzUJEJ0i8AjJtlarhZlO+F9LppzjdBeOSLsGGdg8GXsfLr3i5Gi8t8mxbM3JRTqoGAX/5GeYwf6XIX8aGgL/8AHOYc4EN6+wwAZwux+lVOO0BbIz1UbYDzmxXQrvWQmu8bF2DLX8nw1+eVeQvCwNFpxkfklYDClVP0jS3sguwtEqO1elSnF6K027ApsBrWIr5HGA+Xt7Ay5CojRKkDXma8ZnFX/bHUlXdi/xlPMjiLzfFmuoz/GUucPoxTncmCPJU0UZCI+ANvPyClyvx0izLjkYivIwFhCF/WSi1GSs9ik4zPjQnWR3TsOUlTXMr21FbNSCn43G6A8YlXY6dArcG3sbLTLxcmr0x5YgNgmukykkiHEuGv7xOlSFF/jIeiHAwGf7yLlXWi7z/Mgjy5ipz55cyHxiHcePDMcH4cWMv2GEP7HcwbCtpkPxlQ0bRacYAQZpgP+uGqwZUP7QE6jbxxekSnF6I01Uwp/kWlvq+CBOMH4uXTXK0K/IZnyLch03bWA7sr8pZUd27iOohwr+BB7HswZGqHJXvZy6H5TjdDgvyrgBmqbLN9v1fe2bGLV2733bUcV98f0OftYv9l4WHxkkbsJIg3IQT0zHFhAUg2ZaXMggimMRe/UWnnb4FbB3wm38Hjga2B8bj5SfgFuAqnNb1NBeZGpAIbTC1qnUx/nJTVSbnet8iaoYIzbCgahAWnG2pGvMAeKdLgAtEWLblWm9dfPWfz2WLNd/V43cctQ42LPt14GycfhyrXUXUG8WTZjwIdUyTVAMK51bGpwZUPVYLrtNzvpPTRTg9F6edsYrb97A+y0uxjemloCK3tugTXHPiu0TYCJNNXBd4B+PQJudyzyJqBxHWwr5bg7B17BG7w6SMv3wFuPjtr7ZatNWIt7csEW0FXIsNb9gRmICX6Xg5P6jKLSLFKDrNeBCeXL5O0IbKK1WTQzhxZUqkd3X6Gk63wHjDkViF5M7AJ3iZipdza7ExhWpA9V4vEY4Dxgd2/EuVLYv8ZTwI+MvPMf7yTlXWT0g/tgfGi++IBcw9VHknCPLODoK8HbFMxKoYV78YLy/gZUDc9hZROxSdZjxYI7hOrPZd+UVnqqtUjR/rBtfIeMNycLoAp6fjtCM2tHc8FjhchZ0+n8VL/yo+vQqmBlSvn1XAX96O8Zd/UuVv9blPEfXA07c2x/hLgCNUrWcydixv3BibkNMNeBzoq8rvK7zP6VicDsaK4kZiFfa7AhPx8iNe/lY8faYLRacZD0IxgdjTQ1lI29zKMJD4PO9PcvoSTjfFKhlvwX4OuwOf4WUKXs7Ai2R9ol7KSSK0EWESNqPxV2AtVZ7I/R9QRE0QoRm3TWjNRyc0w/jLDVS5JxFjljZvztJWrTDO/kxV9q+x/9LpvCDI6wAMBT7CMh7XYEHeM3hZJ9+mF1Ezik4zHnQFShVNUsKu7pWq+UXIscYnK+h0Dk5Pwml7YG9s/FZP4DosLfYkXvpRjxmfAX85HVgHeJsifxkbAv5yBj9t1Igu/1uOafcmxV++yvJmYevTVqpcX+cbOX0Bp4PIBHmLgD2ASXiZjJdTKwR5RcSIotPMM0TE8StrsZASEZksIi52GzKVqqlTA1I0GbEFp0/jdCNMYGEUpta0N/A1SrMui9HabkxZ/GVr4FpVtiryl/FAhEOwbEUHNrzrD05af75q/PrKAX85FdgBSktpNneuKu/kdNNMkNcO2AcL8npjadzFeHkCL2HGBhFxwR5TmtReszKg6DTziOBLO4qWlDAPsC/8qAS+zGERUO6VqtGhM/BH0kbgdBZOj8NpW+CAn5rzOQIb/UYPLC32CF56V/bRYDLF/WT4y31UOTtG61dqiHAz8EDwxyPY96hEMjki7Ibxl6sCj9Fs3jwk4toBp08FQV5nbMLTH5gj/RYv3z50iowuseCvN9aPmtRe0+BRdJr5xRVAS2kOzTMCei2D1+NEfipVc0NbiL+isVo4fazbfpwM0Ej5CnOEBwCT8fI1Xo4OT59B/+UkYBjWa7qWKk8lZPlKhUA/9iPgRIxyWD8p/lKEy4DnsUzOGaocQD4TpxbkHYPTNsBBWJ3EGgdvwVG/j2rccsiantU6NA/fncRe0+BRdJr5Ra/ePUEFNmsNP98C/zgQmjWmV8x2hJWqaVMDmp20EZWgP8DzPbgTp60wpzgJG2P2f8DCF87d9XmhdAY2pPgtrJVgckL2rlQQYR1Mu3dj4FOMv8x/MdmKdjQSYSxwAVZYNkSVG2I1wukjOB0IrPrPp9fQ1U+fwTtf/5nVOl2Z/a6495oGj6LTzC9+mDIN+g+Dox6GTm3gwn1hwV1IIPc2KCY7+gXX2DeXyhBwrI3JRQ0ofyivnOTU47Q/Jsbgb37pxJI9rnluN0VanbjTTbN0jNxW5C/jgQgOa9vqAIxSZcOE+cvtsZap1VR5L247yuwZplud++AX8tuCTvTpcg8TJp+R/ddp0ppuECg6zfzifEpZ+PkDcMSp0PpouOYZli5dzjzsF+5DvMzAy0V4aZJHO+KvVK0eqwfXNHGsIfoE13LKSTJMp8swlZPvuakpsPyBkw+ZfvORp3QC7sfLArzciy+bJFNExBDhFmBM8Me/qHJcQnYMJZu/hDUr7b+Mz54bgEehkcLxSyb/cgR/LCv764XA+UnZ1lBRdJp5hKp64FiMS9TFfzDlnAc4ovnh2hbYDhsNtQr1l3urLbpBgpWqKyLkWCcnaUQVCIumyvjfLP7yzyC/lGqjvof8+6EemIN9BBuUfRjwE14m4uXAmG1usAj4ywnAX8nwl/clZMtlwHMYf3maKgckNf8y+Lm8D5wGzIWSDWDUUQR7TXA9NtiDiogQRcH2PCP40q74xXU6DhiCl1aY0zySjNzbNODfwLU4XR6BGZ0hVSnEtYNrmjjWEF2AZaEakAibAK9j7SRvAturYmvidApwUFAcdDxwNjAAeBgv84GHgXNwWpxkUQ8E/OW7mNjEJxhvmEQ6thHwKrAtdnrbXpUP4rYjy55+mPReR6wQaHOTCdT/UdleU0SkKJ40k4bJvZ0VyL3tDHxIebm356qRe6st2pGuStW+wTUVHGsFlM34FOGvwAeYw7xalW3KHGY2nCpOb8NpX+zf9gTQFDgK+BUvn+Bl77j+AQ0BIgzD+Mv2wB2qbJSQw+yJie5vS4a/TNJhHkhmLujdqgxMQld3ZUbRaaYJTl/B6WZYocPN2OY9lKrl3mqLtFWqhhV9aZm4ko1WKHNFeBBTY1kO7K3K8Fp92ul3OP0TNnT8NCxNtgHwJF7m4OUWvLTLk+0NAiLcBtwf/PFQVY5PyI6hWDakK/AoyfOXI7HsRQlwtCpHJmXLyoyi00wjTAnk5EDubU/gYyqXe6sRKa1U7QaoksK0pdKUz/t3AQ4GZmIb5dN1vo+dPm/EaR+s5edZoAXGzf2Ol4/wslt0hhc+RGghwsdYqns2MFC1rPgnblsupzx/eWDC/OUHwKmYvOOGqtyZhC1FFJ1m+uH0WZxuDHQC7iBb7s3Ld3g5qYbTZ1g5m6ZK1XSoAVWAuDG7IsDk3s2ANzD92NwFIZx+gdM9Mad5Npbu2xh4Hi+/42UkXtrk/JwChgj9sf7LDTH+srtq7kPA62FHIxFex6pOFwKDVbkxbjuy7OmH/e5u+v/tnXecVOX1/98fmhQBATvxa+9iRbHEroktsX2NejFiib3HkqBGsBvFqL/gzxaseNUYTdHYTSzYNVGsWBILFowlCCoI7Pn+ce7sLjC7O7s7M3d2Oe/Xi9fs3jtz7+Huc++Z5znnfA6+XL20Wc1kwS+QhNPsKCT2JYkdlsm97YmXjywPjMVjn38g1XJFPlmLmao1pwYkcRSfD7oHgB6z/mnGlkXjl+0hsTkkNobElsH/Lvfj8dJjgamkeoZU25T1nB2ALH45EY8nX1Uj8cu3cQeVZ/xybxril9eZMSTil/kTTrMjktidJLY2Xq5yHTAbd6T/nlfujQY1oDwbYM9LL8gvNtSYTD/2NmAsa7zmy2/bPzS++U+VgcReJrEd8Njn6cAnwEbAw6T6nFRjSNWr4nbkjMRVNMQvh5txeE527Iwn+iyBxw1XMcuvK5DEb/G+oAIONOOgvGwJ5iacZgtIWkbS3yW9LulVScdl2wdKelDSW9nrgKobl9h/SOwgElsY2BfPRq2XeyPVrYt8x5Ds3a9X3b4iCHXF6xo/zd0W0R+YhGt4TuG08woP7+pdK599nktiSwND8dKG/sCJwHRSTSDV96tmT5VoFL88lIb4ZS7lEhLnA3fj4/IYM/bOOX75HHA0DX1Br6/c+XStpE8lvdJo20WS3pA0UdIfJS1SqfN3RMJptsxs4EQzWx3YGDhK0hrAL4GHzWxl/EFXWnZlpUjsVhJbEy9XuRkvcN572GcMB3j2XmqlgW1Bpu7DPI2QGJrZsDLwKDCYRT8flO3OJ6s3sRdIbDt8Jn4Wnry1GfA4qf5DqvNJtVCzx+gAzBO//AewZI7xy0fxe/drYBMzxlbbjkb2rILHL4fi4ZfBVegLej0wb0Lag8BaZrY28CYwssI2dCjCabaAmX1sZv/Ifp6Gz0IG4215Cp0VbgB2y8fCeUjsYxLbD2+kfMB7fZiJwYZfcnmNyL2tmb3m1nFF4mi8OLwPcIEZW2Xxy9pooZbYLBIbRWJLApvgSUkDKTzcUz1Cqo1ytbGNSPyUhvjlFWZsYMbMHOxYFv87b4GHLgbXQPzyNfzvfK0Za1cjfmlmjwFfzLPtATMriPE9jesuBxnhNFuBpOWA9fAH7hJmLkuXvS6en2VF8JKHG97oz2d4pmqhvqux3NveOVhWmPG+We0TZ/HL3+NqS7OBXczm+ha9KDCroAZUEyT2NIltidfaXoDHgrcEniHVJ6QaXWHd4rIhcTVwY/brcDOOzMmOH+GOcnHgNmDVnOOXY/H4JcABZhycly1FOAhvfRZkhNMsEUkL4wLNx5vZV3nb0wr6IaaT2N74g/cwPOFhTeBWUk0j1ThSDWr2KOUjFzWgLH75JrAXMAVYyYy/zvO2ejWgmiOxmSQ2ksQWw2dHT+KSf6Pw7OmHSLVerjY2QRa/fBHXYf6SfOOXFwB/weOXR5uxT87xy+eBo2iIX+bSF7QYkk7Dv1zmUitbq4TTLAFJ3XGHebOZ3ZltniJpqWz/UtRAYksTNKgB+ezzahJbCXded1J9ubdlsteXKnyeeiQ2wpfiViKLX5rxQZG39ob8Zhwlk9jjJLYZXrrzG9zmbYF/kOpDUp1Kqq652pjRKH65Dh6/XCrH+OVjwC/w+OUwMy6vth2N7FkFvy4b0NAXtNLxy5KRNAIXVhluVkMrLzVAOM0WkCRgHPC6mf2m0a6/ACOyn0cAf662bS2RqQEVz1R1ubc98ZKHY/A6zsZyb1eSViQjuKAGNK0Cx54PiWPxuExv4NxG8cu53+fXqju1pZzUPA26xYNw3eJn8et7Lq4cdS+p1mz2GBVEYgQN8cv/n3P88mNgc3y1YbAZz1fbjkb27IOvtAwAxuXVF7QpJO2Af7n4sZnV5spLjoTTbJnN8DjgNpJezP7thMeXtpf0Fv7AuiBPI5ug5UxVn32OJbHl8e4jd+PZm4cBn2dybzuW0aZBUPkHZxa/vB24DO/wspMZpzfzkUKyQy0pJ5WO6xYPwx3UWHw2tQPwCqk+INVJ1Zx9SvwO6ksl9jXjqGqdex47CvHLxfD45Wo5xy8vB27Jfj3AjJ/lZYvbo1vwTjKrSpos6WB8/PQFHsyed1fmaWOtEa3BWsDMJuAFxsXYtpq2tIFCjea7Jb07sTeBH2XCCCcAx+Nyb/eQaiqeJXw6SbtmiX2B6e34fItIDMC7xaxIJhrQxHJsYwrKSbll9ZYF/9scAxxDqp2Bs/HSjouA80h1P3Bi9rcuOxK98Jn92nj8cmOz6id9Zbb8GjgFqAOONOOKPOzIbFkIj0Ovjy+nb2qWf5cfM9u3yOZxVTekAxEzzc5N2zJVffb5GxL7H2At4D68PKMccm89qaAaUBa/nIw7zL/hrZxacphQm8pJ7WNu3eKrgG/xONUkUv2bVEe3sWtOUSTWxJdB1wZewON0eWRJd5d4HHeY0/EvTXk6zNXw67I+DfHL3B1m0DbCaXZuVshe265wk9irJLYj7uxG4jd/m+TehLrjMdYpbbanuePPHb8824xtW6EfW+ga0/keZq5bfDiJ9Qd2x+OMy+GlNzNIdUcTusUlI3EA7hD6A5ebMTSP+CV1Eh6O+D6u9rS0GS9U3Y4MiQQXWh8AXFNr8cug9YTT7KRISniUBICBjJeUtOuALvd2AYkNxr8xP8Tccm9PkGrzFo6ySvZa1rhhFr/8Aw3xyx3NOKOVhyn0+OzcHSQS+xOJrYPXKF6LX689cN3it0l1aGtnnxLjcA1kgH3MOLqsNpfKnG7d+K5fPzx+mQKrm1GVhLMCkhJm0I8Z9Jeu+wqsUK6xvxmHVtOWoDKE0+yEZA7ymi160PN704Av+R/gmnY7zgKJ/ZPEtscThs7EM043BR5rQe6tEGP9d1nsoD5++RYuWP8JsIIZ97XhUEsBGFaRWXDN4brFB2e6xfsAr+JL2lfhusW3kWqZ5g4h0UdiIl6y9AWwhhm3Vdr0Jmy5iFl9+mS/HmHG8GrXXxbuO0DevObAvh6+HD7SjJuqaUtQOcJpdk7OA3rfPhnevwveGAMjNqd3F99ePlzubXQm9zYMr4EsyL19U0TuraxqQBIbM3/8sq2atjXZ47MqJHYbia2FywiOxxNnfgK8T6pJpBox3+zzkyFd8BWDIXjS1dI5xi8nACcB0GP6dDPyyvY8D+jtDrMr3jt+KSDNJXM4qAyKutXOh6Q6QMloOH1ZWK07SPDNTOi9EDcDJ5O4BGDZ8RnmGbj6y2LZ1inAlV33YcW6LuwHDDOsXTqfEsfjhf0CzjJjVLuOh6YCcwwb2J7jdBpS/RQ4DS9DAk8iuhM4Wbce/DZ3X9Ub6wow1oxj8jBRYjm8NnUxYBKjtCQCG2W5dOUo3Hcc1hsYAFfVf38zM4sJSichnGYnRNK7wLKF35ceAGMS2H0o1rNHffnM68BZJHZrsWOUBW9pdQEuOt5lq22xR5dAL/2VTdbe2Z5uyyElBPwBj8N9B+zaxuXYuY+LZgEfGLZCi29ekPAl2ovwBgU9D7xqHNc/diDqMhur675Pjsuxu+F6yt2Bm83YT2fqv5Cr03yXRvddI94zs+Wqa01QKcJpdkIaxVZ6N9r8TbcuHDLrJnrhy6eFbNGvgduBU0isMmo4nl171qq7cMJbfela56XdHwGXA78msZIyXLP45fN4VvDHwIbtWI5tOK6rAdUBzxo2rL3H64wMXPiLPpJN+mL6oMED+3zO02cOY+Wl3qn82CmCxBg8Aa0OOKqwHFsDTrPofQccYma5aO0G5SecZiclu4HPw7NC3wdOnevGTbUsMMyueQEAABAsSURBVAb4EVBI2nkZGE1Sr69bXpvQJ13qWGTOrbyIl60IF4R+GC+4b1J7M4tfPow/kB4GftiKcpKW7FoBF7H/k2G7l+OYnQmJIcAEXOv22WXP6LXapYNn9NptYQzXLoYKj53Mju7AI3jS2XRgCzP+Wb8/Z6cJJdx3QYcnnOaCjid4HA6cDCyfbZ2GS339ksTKJkQg9DXwtWGLk6ovcA6wP1B4yE3Gy0YuaTz7lDgBuJgyxS+L2LUb8EfgUsNOKOexOzoSB+Gzpy7A/zPjuHrntDIDgCPxWV9lx47HL5/DE7bewAUL5ionqQWnGXR+Iji9oOPqP1eQ2Aq4Vu1fcCGDQ3Ht2X9mcmzloCeFhreJTSOx40hsALAjriAzGI+ffUuqu776Xd9VJP6IJ/zMwmeXZXWYGbn1+KxlJK7DJdXqgJ+Ycdxcb/Cxc3mlx04Wv3wTd5jjzapffxkEBcJpBg0k9jaJ7Yov154AfIDrlt5Nqv+Samw2Q2w1Qgvh423+OsjE7iOxobhqyhXAt19MX2SXdU99aRKwW5+Fpk/t2f3b5cx4oG3/sRbpvGpAbSCrv3wFOAD4HBcJuL3ZD809dn5OmcaOxMX4KkBX4DAzftraYwRBOYnl2aB5Uq2Bz/62xzMVDZ8VnkZiJTsxofXwfoqpYcObfa/YtItm/73OuvbYbq2HuPfkHejWre474B489vmvtv53mrDtPuCHwECjfEuKHZF545d43HAuObySl0F97IzBx043WjF2svjlo3jm9TRgy8bxy6KfieXZoArETDNonsReI7GdcfWfU/Cs16HA/aT6glSXkKpPs8dw1spem1UDkvg5MKHOuvUAnfngyB8s2q1b3Ti8vGQ34J22yr01Q6HH54LuMA8GXsQd5mVmDGuXfqyPnZ3wJdtf4hnPLY4diRXwcbYJXho1uCWHGQTVImaaQetJNQSfQWyLL5vVAc8AI0ns0WIfEToHL5bf37D5JMWy+ss/4vWAM4FdzHhonvPuBYwCCo2VZ+JxtBNJrJROJkUR+hAYZFjPth6joyNxPd5MfTYerWxyObZdM7pU6+ArF9tQZOxI7IH3veyGxy9LXo6NmWZQDcJpBm0nVXd8BnEksGS29XM8eWQ0idV3cxC6GUiA9Q2ba9YgMQjPjFyebCZrRtOKRamWwB+8e9JQE/cmcD5wA0nrBrXQNOA7wwa15nOdAYk+uNNaE//bbWRGs8vfZXFOPnZGAkeQjZ3pM/rMuPzBI3ueeeeoum+/63O4Gde05pDhNINqEE4zKA+phgIXAlvQMIN4Ai89eFLo0WxfT8Pql/wkvg88gC//PgDs1Kr6y1TDgdNpyICtl3srVSpQaDbwrmErtfjmToTEOsDjeGPwZ4DNzZjV4ufK7Jy+uHrgxm9PWen+9Zd/oV+3LnWYUSfxBC6aULJyVDjNoBpETLODIOlaSZ9KeqXRtnUkPSXpZUl3SeqXm4GJPU9i2+DNqs/GZy2bA0+QasrFL7Bm99nUzeMwfw48hjvMUWZtECxI7GYSWx34Hl4fKGA48BGpXiNtvrOLUFfcyX/aqvN2cCQOwROz+gKXmrFxKQ6zAnasMOiwL+4edsaz/foePO21b2b2ulCqHztPkWoKqc7KZqadhibu57MlTZT0oqQHJC2dp41BcWKm2UGQtAWugnKjma2VbXsOOMnMHpV0ELC8mf0qTzvnItWmuPbsZkCX2YJuxt9nzel6co/9Z58B/Jim4pdtP6fwVlUlSQUKrYYnm/zBsL3KYkONI3Ej8FM8frmPGXe06vNlmtFJ7AnciscvbzJj//qdrlt8Pq7+0wWYg3/BOpnEijaV7kgzzSbu535m9lX287HAGmZ2eI5mBkWImWYHwcweoyAM0MCq+IME4EE8xlc7JPYkiW0BLHzhasz+qjsGbN2ty5znPxq71I/P3uu0qesv+8LKZXOYfk4jsXEktjKwHC7u3g2vOfyUVBNJtUejTxR6fL5bNhtqFIm+Eq/iDvNzYNXWOswy2nIJ/rfpAvxsLocJkNgEEtsc77M1BvgvsDXwPKk+JtWvOvLss9j9XHCYGX2guv1Ag9IIp9mxeQWfrQHsBTTbNDgvNJzdf7Eu3Qat0UtbnXOfPfX2xiyxyBRO3+28/i+cN/RfpLo/y8gtL4m9R2J74cu/R+LlLkOAO0j1FamuXuQ71s3e3anVgLL45YfAGsBTwFItJfxUyI7uEk8Dx+P1l+ubMa7JDyT2LYmdTGKL4hm3TwNLAGfhPVvvJ9UQSQkz6McM+kt6t2wN16uMpHMlfYCHGM7I255gfsJpdmwOAo6S9AIem6q5JsqSEnpzjWsBbcSjr2+vzUb/cNbyx9mBwKX4g/MHwERSTSbVL0jVtaxGNC0VeMiuHzAS4PSX6V/Wc9YQ88Qvf2PGpnnFL/FazWHAq7jjfqnkAyT2dxLbBP9/XEY2dsyYOPm3jD9lUZQ90JYFrumIjtPMTjOzZYCbgaPztieYn4hpdiAkLQfcXYiBzLNvFWC8mW1UbbuaQ9K7bLjtsjz7MNyYwIhPgL9B4x6DqX4AnAtsgCfyzMKXm08ksTcqYpjHPo/bYjvOf3xxek79PfSbzVRgPF4z2Cm0TSVuAvbD45d7m9HuLiRtiR3OE7+83owD22sHAKl2eOl9/jxkGXp0EdzzFex8RP3emu5j2cL9vCzw12L7gnwJp9mBmPcmk7S4mX0qqQtwPfCImV2bn4XzI6mOpREjt4M7noNHphZ2zd/NPlV/3HnuB/Uzv/eBS4DLWlt/WZJ96BWMNewW7qWdUoG1hERfXAZvNeAzYFi5lmNb6zQlLgOOxcuQDm12ObYt9kh1/Xqj886Em6bAM2Pqd80/xmqIIvfzymb2VvbzMcCWZva/+VkYFCOcZgdB0i3AVninhym4Ms7CwFHZW+4ERlqN/UHb3M0+1Y/wuNU6+OzzO+A+fPb5dtnsQx8DixjWK1sW/jlwHN5xBeBL4AbgdBL7ulznrSQS6+G6rX2BJ4GtyrkcW6rTlFgIT1TbCPgK+L4ZL5fLjobztHGM5UgT9/NOeHJfHfAecLiZtbvJelBewmkGFaXd3exTDcDLVvbFnQB4Qs9FwJXtnX0KTQe+NWyxec5bTCrwWVysoahUYC0gcSjeKaYLcLEZJ5X9HCU4TYmVcMGEgXj8cpgZFfnS0e4xFgStIJxmUHHK1s3eS0VG01AmMhO4CziJxN5rk22uBvQvw1Zp4pwlSwXmjcR4POtyFt7/8k8VOU8LTlNiLyCl3PHL5mwq1xgLghYIpxl0PFIthkv27YXXswG8jRfDX1fq7FOoO77sO8GwzUs47wbZebekiFRgK/8XZaNI/HJDs8rVnTbnNBvFL+fg8cuairEHQXsJpxl0bFLtA/wKrz8EmIF3SzmZpPl4kNAQYCJwm2H7tOKcC+EdWw4DFs+2/ge4EjiXxNreTquVZPHLx/D4dtnjl0XPWcRpZvHLx4ENqWD8MgjypmYzy4KgJBK7lcTWBJbGa9sMj39OJtXrmaB7UxSWeZvt8VnknDNJ7AwSWwKXCHwcGIQ7769J9bdMwL6iSBwOPI87zIvN2Cyn+suV8O40G+KCG0uHwww6K+E0g85BYh+T2H74cu2BuMLPasB4Un1NqhuzlmKNWTV7fasd562XCgR+TYPc23OVknuTkMTNeMLPHGDXSiT8lGjL3rh270DgOjOGVCrhJwhqgVieDTovqZbBM2B3BRbKtr4KnKnhdOdWrmJvFmZzPmYCJ5UtcSTVlnh8dRgNYuN/w5eMS1fAKUIWv3wOd/j/wftfvtsue1t1fiX8kvGAuODqafCzvqA5uH7s9dWyIwjyIpxm0Plx9Z9DgFOAFQGmzYChm8Kbq+HKtDMqUKKQqg9wDjACGJBt/RD4LTCGxFrVBk1iA+ARfFY7Adimmsux9aUdJ/XozfgJ8MmGwFTg2FPMbrioWnYEQZ6E0wwWLFKtcM+LvLztmvRedzeY1A8W6gkzXLW3csXwLhV4DjCUuaUCTyax11r6uMQRwFh85nqhGb+oiJ3N2pCJCAx4E75cGXgJ79z1Tc2KCARBuQmnGSxwSKoDtMk1oCHw5Mb1uyovu9a0VOClwKUkZnPXHHZ5H175CFbfBHe0/2vGXypqYxMUrhtb7wsfbQOTDinsqmm5uiAoJ+E0gwWOmpFdKyIV+M4UXt7x16z+1hR6Qz+8/HJV4NuvoNfaZrRJxKEc1Mx1C4IciW+HwYLIqbjMWmO+ybZXj8TuIrH18HKVq4GZKy7BBpMupvc7l/TgiG1H4Z3MHgcW+TJPh5lRG9ctCHIkZppBu5B0LbAL8Gmjbg3r4oX+PfGWVEea2bP5WTk/tSq7tudGqhu1BxqyDNSZ6HfwKL75bjTUyBJorV63pig2PhvtOwnXMF7MzD7Lw76g4xFOM2gXkrYApgM3NnKaDwCXmNm9knYCTjGzrXI0s8NQWAJdtO+K7LD2wox/or5CJZZA20Cx8ZltXwb4HV7Lu0E4zaBUcv/mGnRszOwx4It5N+MBOfBkl4+qalTH5lTgm8+mvdPYYcYSaBtpYnyC92g9BR+rQVAy3fI2IOiUHA/cL2kM/sVs05zt6TCYWSoJOtASaEdD0o+BD83spexaB0HJhNMMKsERwAlmdoekn+BttLbL2aYOQ+Ygw0lWAEm9cbH9H+RtS9AxieXZoBKMAO7Mfr4d2ChHW4KgMSsCywMvZfHj7wH/kLRks58KgoyYaQaV4CO85+QjwDa0RxA9CMqImb1MQzu3QuLV0EgECkolnGbQLiTdAmwFLCppMjAK13m9TFI3vL/loflZGCzIFBufZjYuX6uCjkyUnARBEARBiURMMwiCIAhKJJxmEARBEJRIOM0gCIIgKJFwmkGnR9K1kj6V9EqjbbdJejH7966kF/O0sSPSxHUdLenDRtd2pzxtDIJyE4lAQaenKf3RRvsvBqaa2VlVN64D04Tu8GhgupmNydO2IKgUMdMMOj3N6I8i11H7CXBLVY3qBDR3XYOgsxJOM1jQ2RyYYmYhwFA+jpY0MVu+HZC3MUFQTsJpBgs6+xKzzHJyBS5Vty7wMXBxvuYEQXkJpxkssGSKRXsAt+VtS4FiyTXZ9mMkTZL0qqQL87KvJcxsipnNMbM64BpCdzjoZITTDBZktgPeMLPJeRvSiOuBHRpvkLQ1sCuwtpmtCdRsko2kpRr9ujvwSlPvDYKOSDjNoNOT6Y8+BawqabKkg7Nd+1BjS7NNJNccAVxgZjOz93xadcOK0MR1vVDSy5ImAlsDJ+RqZBCUmSg5CYIaQ9JywN2NyjheBP6Mz0BnACeZ2XO5GRgECzDR5SQIap9uwABgY2BD4PeSVrD4xhsEVSeWZ4Og9pkM3GnOs0AdsGjONgXBAkk4zSCoff6EN/NG0ipADyCaJgdBDsTybBDUEE009b4WuDYrQ/kOGBFLs0GQD5EIFARBEAQlEsuzQRAEQVAi4TSDIAiCoETCaQZBEARBiYTTDIIgCIISCacZBEEQBCUSTjMIgiAISiScZhAEQRCUyP8BYKB1S8n8w0sAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(first(find_chains(32, circular=True)))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {2: 10, 3: 16, 4: 6}\n", "Square counts: {4: 1, 9: 4, 16: 7, 25: 12, 36: 14, 49: 8}\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(adjacency_graph(32))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is interesting that the chain keeps all 8 of the (lime) links that add up to 49, and 12 of the 14 (orange) links that add up to 36, but that links with lower sums are less likely to appear in the chain.\n", "\n", "# Visualizing chains for other values of *n*\n", "Some more pretty pictures:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {2: 42}\n", "Square counts: {9: 3, 16: 3, 25: 4, 36: 8, 49: 14, 64: 9, 81: 1}\n", "Chain: 1-35-29-20-16-33-31-18-7-42-39-25-24-40-9-27-37-12-13-36-28-21-15-34-30-19-17-32-4-5-11-38-26-10-6-3-22-14-2-23-41-8\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(first(find_chains(42, True)))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {2: 36}\n", "Square counts: {9: 1, 16: 6, 25: 4, 36: 11, 49: 11, 64: 3}\n", "Chain: 1-35-29-20-16-33-3-13-36-28-21-15-34-30-19-6-10-26-23-2-14-22-27-9-7-18-31-5-11-25-24-12-4-32-17-8\n" ] }, { "data": { "image/png": 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FVaTNq2pL4LpTezBh5wq6LIUzrloQmONUYElFT2pLu9zycpmicM4o37KQqQeuz/TguV27Ur4MTv/LgqQ7ToDb3mARCueOpFvctuTKO1+OqL/oyQvpWr6YF8/coYRaynO5bnAZ9dUKS+rDtrDxdzCj1qqZN/lVJKaiS0o8pDPPEBGRrsBEbC9eGfBPVa0UkXuBUVja/pvACaoaywDtzzxZHSvZ/DVWyretJ2sn2x8TCLAajiZ8EMwswGKM/8O0b98BthL3lBeAMcDuXlHocDDhg0nYwDgTS0pqc19qkhDkJWBbYC9Fn4rbnrYQoRQrr7bqEdz9+3v41cXY49uxqN7e5rVV4onFs7tWhvh9oMnvY39gU+AuTOojgTNPr6LLW8BsVd0nbns6OunMM1xqgLGqOgJLONlDRMYA9wLrYck13YDj4jORPwDVfAW8jLnD/Vjivb4iTnZbzLGsgWVHrh2g49wPq4G4ChZj3MwTV/fvT3j1OE3Q4QvMcf4bWHNlcpwe47zj9bFakRsPYQIX992jR14GbI9tbboNaTfxyZfp2z1E+3zs9zHT+9dagMU8W/59xMtpWNGFlAhInWeIqLHQ+2e590dV9d/ee4rNPAfGaON92KA7i2NRFLib+S0mQzjZU7GZdFfgPNzM/oFVLXGyF2FZo6XA8U2TcxSdCrwLrC3ImED6a973ScCr2INMJW5m78iqsQSIotOw2fpaQov7KBOBCIcB+wPfYJm3oPoqtrqwDLgRkdPbaMIXhd8iRDM9s7zfx8d8gQKDqSGByUIiMhDYG1OdSomA1HmGjIiUishkrELEM6r6RpP3yoEjgf/EZR/YAKGqQ/VjLUF4m96sJkgzaTSc7L00KsTsjpu5NJDOTfjgv8AF2BP9li2JxmMb7MFECoLDBB1upEBBhwTizz7/GqsVrSCCgy1+1gM7qD2uGapvY0XEa4C/INKi8INW6jzvnHzF5gtCVe/TRToYYSmD+SFpjtPjGuAc7L6mREAqcRUyqloHjBSRvsDDIrKRqr7vvX0jMFFVX4rPwhUYh8X9bgQ2xMn2wIQPNsS2Q2yOm/kikJ7yiDEq+rogHwObCLKhNxstpu/ABB2ShKJvCzIN2EiQEYpOidum5XgRS0s7W5XpK7yr+h4i/p7ayxCpQLWlB5o5WOggSr7FFJAShYjsA3yrqm+LyI5x29NZSGeeEaGqc4EXgD0ARKQScIAzYjRrBRR9B5gKbHD+n3c/EBM+2BBT2FkjQMdZSIwx4x2LW5pqLujwFkUKOiSQ33jHv8VqxXKIcDmwPvC6ahsl51SnYf831UAVIi0J3/syfQUX2y6AD4EyqZIBEfaZC9sA+3nJTfcDY0XknnhN6vikzjNERMTxZpyISDdgF2CaiByHJTv8QlWTuMxy0sGPbMr4K/Z+COgD3Iib2Qo3E0xGsMUYX8FijFW5xhi9TNsvgDGCDC2w7wOxh4N+wN9wM1sE9rkSgqITsJn8aEHWjNkcAEQYhVVXqcZ+B22jOgPYABO+/wMif17ujNe8434Bmtker3vHfSPss11U9feqOtDL/j0MeF5VfxmzWR2e1HmGywBggoi8i22/eEZVnwBuAvoDr4nIZBGJVWB8edS5fv9/jDsagP+NmHUObubkwBp3sndiS8J1WIxxfJ4tnOkd8599Otk/YVmeJcCxuJkT2rliZea33rHNbR9RIEI58Ay2S3J/VRbldKHqLGBdrIbnGYg0zbb2Zfq2D9DU9vBzE3Zo86yUTkG6zzOlESdbCjwH7LCstG7JqGeu7PruxrMnKlr8YGExxteBTbAY4xa4mZmFNCXIN8BqwABF5+TQdynwNDAWm8lsh5t5p5C+VyYE+Rp7SFtD0a9js0P4D7bScptqAduyRPpjW5j6ArehelwTmb5pWqkbtHl9QHh91gNTtVI3iqLPlOSSzjxTDCc7AKtWsgPwcXld6Wrvbjz7K2A7QYpLzHCyw7EY4yZYjHFgoY7T4wJsFtN+TM/JOlhB7rHAp1jctsM7To9zsfvUUvZyJIhwDOY4P6cxEzg/VOcAw4HvgWMRuVsrVbFqMpHFPJv0maoLpaTOMwVwsjtguimrA/8C1sXNLMBS34ViEnQsxvghzWOMRWnUKnoL8COwj1e6rLW+t8YG7TWAx4HhgQk6rAQoehfmcPZs8z6FhAhr0Fj/dPtm21LyRfV7TKLABX6JyD+wuG5PqZLS4q3Nmc+BXhH3mZJAUufZ2XGyvwUmYNsHzsXNHOQn7yh6L7bEurtXuSPftsOMMf7Ja/eGVvrOYJpJvqDDfiuj8EEAXIzdp2D3x+bGRGw7XEaV4rOZVedhDvQb4JC9P2IV750oY5CTvWNiRShSoiF1np0VEyd4ALgaEz7YBTdzeQtnjsdmnzfl2faz2LLhImwPZdCJK1d5bR8qSMVy/d+LSdQFK+iwcnItVivnYEEiE40X4QZgTWCCah7fnfZQXeC1++XPpzYsn+4ZWPvt84J33CPCPlMSSOo8OyMmfPAB8HNss/mauJnnWzpV0RuwbMefCdIjh7YdbGlrZ0KMMSqqmKpKGeYgLCnJyb4PHI4t7w3HzYQqHJ50vPt0NSZ7eG0UfYqwA7bXdD5hODbVxcDwPT/mcxQ2/YrjEGm7ClBwPO4dR0fUX0pCSZ1nZ8PJbgB8hQnTv4I5t9ntXHUFNvi2LTjeGGMcSDQxxkpMpu3orze4ZAOsJsyGmHJQcIIOKz9VwGLg14LkVParUESoAJ7w/rmnakg1WFVrnMUML6+Hb3rRF3g5CgeqlepiKxqhF+JOSTap8+xMONnDMIH13sB1uJltcTN1OVx5Kba5/ZetDr7NY4znRxFjVLQOyyTtcvVvJrxHo6DDmI4mfFAM3uzzr1hc+08hd/c00BO4TpVXQ+1JddmyEr741tZDtgb+F9EM9FtMHSylE5M6zwQiIoeLyEwRqfeOhxfdqJO9Bvi7968jcDOn5XqpN/jeiFWFubKFtu+hMca4J26mJTm1UJg77PKlZctKuPGYiSVLy2qPClTQoWNxLrAU+I0QjoMRIYOJFsxQJefvV3GdMq2uBD7rwweYqPxkJPRM2GlAuVRJ/7A6CGUMSAmU1HkmDO9HcgvHMIRVEGAIcEvBPx4nW4qTfQmr9TcfGIGbKaQqhD/4ntAw+DbGGI/AYozr4GaiqRBjn+uFPgu7n3HoI5vVVndfRsXXv41aKHylQdFlwN2YJOL5QbcvwlAsBr2MaFV/XgNY63SuxfYQbwK8H7ID9SsjhVJwWkQOp4xbWJ8hrBbAGJASCqnCUMIQkZn8nCE8APt9Cnc957+O9unO/Lwaq0eo6doLRSjReipqFlDEnKO6lG5LS+hSUUdNt1pZSk1FLxQo0ToqahYW03ZeNP1covX1XWsWzu9Cb4C+y+g0+zjzRYF55fQB6LOMeUH9d6nC/MW9e6uKdOuyuLqifGlkS+a1SunCenqWC8t6CNUsoSf1lCLU042ivu+tsUwpXeT3WUJ10O3Pq6a3CkIX+GwBbNa4ljLL069NSQDpzDN5DOYf0KMGnhwKC72icap5DgN1JWXUdO2NIpTWLyvWcQJ0q2MxQE0JFeo7zrK6pXSN0HHWlZQ2+1xdaxaUCFpWzzKAJSV0iciSlQ4Byr37VBPgfape2q2bqkhZaW1tlI4ToNQEGKhTShGgKwsppRalhMX0KkKWoVXK/D4tiS5wVJGGqpzNi0amykYJIq3nmTw+B4Ysugi4BAYpcDyQz1Onkz0buBybbJyFm7k6CMME2PPNYR+8Pnrm+lddsGf9mTeNPQY3c1cQbeeECTr8Gftcf8DNXOa/1ctEHFxgkaJpMkcr9ET6YcIX1Yr+pNj2RNgDeApTfHJUySUBLTAE6Fclc4ESrdS+TQx7CtuLuQBYx9veEmSf8wCa9RkQ/ay02BB+x/Lu+fOg+0opnHTZNmE0xDyhOwuxFJ1eVLOUce1WsHeyAjwIHIRt4dgdN/NiIIZ5ovFze1fvsOr0cxFlfm1ZfTSSb/a57sf2pS4F9sbNPLv8aYL8F9gNOEJp5151YgR5EtgLOMqT8CusHaEHlnnaDdhClbcDMjE/O6pkChbrLNNKbXTeIo9iJcu+wRzoggD7fB/bFlXiad4GRsMYcDzdGQD8EainGnIYA1IiI122TRjej2McMIu/onQBJjIxB8fZC8sCPAgbLIYF6Dj744nG953ffUZZXclTdWXaW5BjAmm/7b5bEnRYwXF6+BU7rgjdrpWb47DZe7HKS88D3YHL43KcHr4IR3PJPNX9sYfJnwKfIIHq+/oyfVsF2CbQZAz4DguHDGcOqeNMHKnzTCCqep+qDuUsyoGlbMmObW4vcLIbY1VL1sH0RAfiZoIpQeVkt8MEuFcHHgXWWdql7mhs8A13S0pzQYdXgUFtCToo+gWe8IMge4dq20qMV55sIrC6IAUVkxbhd5jKzlRVfh+kfQXwgndcUc1I9efAPdi+zE+RAjSaW8Z/MN0roPaaoar3sQmmBX0496SOM3mkzjPBeCIAd2LCA+NbPMnJHoE9efcCrsbN7JCj8EH7WIzxRaAC+D1u5gDcjHo1NCcAPxXkwED6WrHv5QUdtslR+MCffUYiRbcS49+na/K9UIT1sFlrDckoDP2kd2xZMk/1SOA2YBVghlcftFh8FaUtA2irNdr+XCmxkjrP5HM6UAucscLs08lejz1VAxyGmzkzkB5N2P1+GkXjd2uanOPh12YMJBlpuf7/QuGCDtOwh4m1BNkucNs6CIrOwPZFDhMkZwcogmAzvRLgCFW+D8fC3Gkimbdu6yfpcVgFnr7AdKS4GrVaqV8TskyfVuo8LMa/dlh9pBRO6jwTjqKLsbhNT8yRgpMtx8m+CmSw4ryb4GYeCKRDizFOBQ7FkkFajDEq+im2WXyIIGMD6tsXdDgdy5IsVNDheO/410Ds6rj4s8987tP9QH/gIVUeCt6kgplDe5J5qhksW7s38BEiQ4vs08XuRZh8AxSdFZ0SPJ3KeYpIVxF5U0SmiMhUEanyXs+IyAwRURFJ4hf1JKAeOB8nOwj4EktU+AATQP8gkF4sxjgbWB+LMQ5sRzTen33eGEDfA7DPtS3wEfa5phbSlKJvYclTGwoyomjbOiiKTsEelNYXZPP2zhfhACxxywUOCdm8fPmIXCTzVM/ClpwtEU1keAB9BhVHbYkPgTKpkkEh9pEXnlzgeyIyWUTeitueuOhUzhOL0YxV1RHASGAPERmDJZnsAgEU7A0BRecB/wZWufWIVz8FVgP+jpvZEDezKJBOnOyhWIyxD5DNJcao6HvAe8C6ghQel3GyOwGfYVmR/wTWx80Uu63A12W5pch2Ojonece/tXWSCP2wWWc9sKNqGPIDRfG6d2xfMk/1POBCbIvNe4hsUGCfb3rHfQu8Phdy/1zRspOqjlTVUXEbEhedynmqsdD7Z7n3R1X1HVWdGZ9l7TNl+3OnSD1c8PsnyoDf4maC07l0sn/GBkaAX+JmTsnj6hO9480F9n0W8BxW8eNs3MwhQVRjUfR5LEt4C6Go2UWHRtGXgE+AzQRZp41TX8ASxy5UJZiVjmDxNZV3yuls1T8C52DJeJOQglYo/usddyzg2lzxE5OSkJiV0oRO5TwBRKRURCZj8bxnVPWN9q6JFUveeXSTD9c4b/tXh9d/038B4p4SjNKIxRgnAmdgMcZNcTP35tOEoq8CM4CRQh5P8Pa5/olVaVkK7IybuSqfvnPgt97x1oDb7Wj4CVkt3icRqjARgkmqIW9PKpxXvGPuTlD1SuyzV2DlzNpdul6Oid5xZJ7X5cPb2LawTULsI18UeFpE3haR49s9u4PS6Zynqtap6kisYPNoEdkobptaxcn2AT7GVFK+GvRVX39DdvEZro0xxu2A6ViM8b0CW/NnqrktkZqgw4c0F3SYUGDfraLoI1772wsyIOj2OwqKPonFurcTmsfWRBgBXAAsIdwZVlF4Kj/zyVf/VfU6bOm6HHgdka3z6LMOe+gcmlefedDkcyUm5glso6qbYftqTxaRKKvoJIZO5zx9VHUuthS1R8ymtIyTHYE5t7WwPZWD7/75/94kiAzXFWOM6xUTY1T0P56tWwsypJ2+fUGHdYGXCFLQoWV+j8mRprPPtu8+ft8AACAASURBVPmdd2yIfYpQii2pC3CwKoHJ24XE50BvqcqzXqnqTcCxmNb3RCT3rTvAFwX1mR+fAT2lKvQ6pTmhql95x2+Bh+mk+1A7lfMUEUdE+np/74YlCU2L16oWcLK/BiZh21Ouws2MbSJ8UFyGa0gxRuAs79j67HNFQYftAxN0aAVF7wR+APYQE0VPaQFF78UE43cXGrJHHwZWBe5Rbdiwn2SmeMdt8r5S9XasLm0J8Bwiu+XRpwBb5N1n7vhSgLHHPUWkh4j08v+OaUm/H69V8dCpnCcwAJggIu8C/8Nink+IyKki8iW2lPuuiMQ3S3GyN2KqQvXAwbiZs5u+XXCGq8UYHySkGKOiD2Bx5F0EWXG/nZO9ljAEHXLjj9h3/aYI+1wZuRBzBDeJcDiWRfoV8KtYrcodf+m/sNUkk8A7BPuuPIVILlm0ftwzTDnI573j7iH2kSv9gZdFZAqWbfykqv6nnWs6JGlVlaTgZMuxpIctMOGD0biZ6S2dKsjW3rmTFd00h7Z7YQ8L62IxwM3CWCoV5Hgs6/YRRX/m9V2OSfxthX2urQPbl5q7XeL13R3o5QlPpLSAIHOZ4/Tkp3PqQUqA9VSZEbddueDt8fwGeE4rdZfCG5J9gUewB4lDUG1VDEKqZA0sZPG0Vmoozs3bR/od8KJW6o5h9JGSP51t5plMnOwQ7Al/C2wJZEBrjhPyzHB1shsSUYxR0b8Bc4H9BOmFk/UHlq2wBKHgBB3ys0uxJKtS4Pqo+1/JuIIdJpZiCTRnryyOE0ArdQ7tyfTl1JA+jiXD1AMPYiXCWutzNiafGaZM3/fYalFbW4lSIiZ1nnHjZPfAMmp/AtyDm9kYN5PLzKj9DFcnezgWk+kFXBNFjBG4DCg58oEtHgJ8QYcHgOAEHQqjCssY/ZUg5THakWykbhU+Wg/GvKaoZOM2pwCCkcxTfRrYFXOg9yByVBtnf4cl34VJ+/KDKZGSOs84cbIXAE9hWX6n4GaOzPXSdjNcLcbo79n8BW7mtyucEw5XnPfn3ZbemTlyV0XLMUGHwwJKSioYb/Z5EzajWl7kPgUQYQyUnEGXmmU8t7MAQe+7jQJfMq94R6M6AdgeqAPuoPU9jdOBLlIVakLaNEymryhB+5TgSJ1nHFjyzhPARdhsaFvcTCFP+StmuJrwwSvAqdj+sE1wM/e3cG3wOFlR5/qH/3jZPl1qKmo54q93PYKbybvkVYicgy3r/abN+qidEBHKMZUeoaR+D7ovWQocvxLeJ1/0JJgEHtVXsbDDMuBmRE5t4Sxfpi+U2p4evkxfWqc2IaTOM09E5HBPGLneO+Ynk+dk+2FyaHtjM8fBuJlXC7HFy3B18TNcLcY4G9gae1JdPbIYoyUlTQf2B74a9nZlzd8PfnsvIRl70wAUXQbcjUmyXRCzOUnj35iu8c26uNvzwB3YfaqK1ar88TM/g6n0A6D6FpaPsBS4FpGzlzvDl+nbObA+V+Tf3jGQ7SpFj2MpqfPMB+8LdgsbMoR9EWAIcEvOXzwnuzm2qXoY8CzmON0izTofkDW+6vMwFmPsD/wD2CCyGKMJOnwFDAdeFGTwnP4LbsVkzy6OxIbcyWDLcGethLOqUBBhHLbneSaNQvGnYYkwv13J7tPL3jHYajqqU4BNsZWiKxBp+vD1ondsP/O9cPwZddGfq2Ec680QNi9gHEsB0q0qeSEiM4Ehk56AYYuwzQ+ACNqnO/PbvLi2tAvLyruhQHltDeW1S4Kyq+9B9FlQDj/+Xxd6S/0Symtrgmq7XWpLy1lW3h0Fyupq6LJsCZj45bxy+gD0Wca8JI2+i0rpvqyE8q51LOlaT3T3KoHU1YssWNy7N0CvbvPnl5Y0Dggr632aW2ffu76l/i80QOopYTG9ACinhi4sadKn9i1tZxwogt4z6KPAguHFfa551fRWRQ79Hp6uAa4FfgRglqoOLdrQTkI688wP082ch+0Aq7AXVWnbNywt78bS8m4AdFlaHZjjVKCmS/dzp5RSXwInbb+0NlLHaZ+rOwBdllX7jhPs9pTXswygpsS/U8mgWx2LAWpKk2VXHCxc0rMnQLcuixc3dZwA3eqoBliykt2nEsuQJZR5QQn1dGMBAiyjgqV0bdKnhDkXGVxO/UKFpfXFteOPV1t28V5o3NiTny5wJyedeeaBP/OkNyb4Ng8TL2vtic3JVmBiBptjz3ajcTPB7JuzGOMkYHhtSf3XXb4+rY+W0AXoqWi4DtSED14CtsTuwhjczAoyh4L0wj73AkUTJY0nyJNYgsdRit4Vtz1xIMKN2DLtc6q0KCogyGOY0tBxit4WpX2FIlVyH/ALYCut1NfbO7+wTmQNbO9yLyAr41kNKxQ+Siv17VC6rJL/A44EdtRKfbG981ttxx/HHKzq7QdYoCedeeZFOvPMjz8A1czHK00NjKPGe705TnYolryzObbXco0AHWezGGNZfckgLeE6bMvLnwPpo/W+h2Cfa0tgKibo0KI+sKILgMeBvp76UJI4Hpu7/yluQ+JAhJ0wxzkPEwRojXHYfUpqKbKWeME7tvW5ikN1NrA2dv8yZ76Cv4UkzGzYF7xjscUsbBxzsfmy7YqtpqVxLKVVUueZB2ral+OAWYxDqQeuYYn3eiNOdm8s83RV4C7czMgchQ/ax0Tj36ZRNH5HT/jgfKAGOC60DFcnuxv2uRzgXtzMRjl8Lt9JJSpxSNHZmC7pAEEOiNueKBGhG/CY9889VG15vSUUnYNpq/YX5KAo7AsAX8R+qzbPKhbVOVjVox9OebNBjD7MPh/3jkVVMWk2ji0BeqPAuBXGsZQ2SZ1nnqjqfao6VL/REkp4nu70aTaoONnxWPX3UuAk3MxRgXXuZLOYaDzAz5uKxitah5XdCifD1cmeh6Xkl2OCDr/M5TJFXSyz2BHk0MDtKo7jvONfYrUiep7GHr6uUSWXZU3/PhVfRzYCopDMa+xMvwfWHDIPt7QenEWEVttSK9XF9psW/bn8cYzuvEU5wnha1e9NaZnUeRaHXx7sak/44CmgElgMbIObCaaKh5Mtx8m+jkUo5gEb4WYebOHMM7FB45TAthfY53occ8hLgO0LEHTw71OiFGsUnQG8BQwVZKe47YkCEU4FtgWmq5KT6pSiM7FN+oMFKVxwPVqCkenLBdV5wFqrVFM/v4LuiDwSYm9By/RN8o4ry/9rYkidZxEo+inwBsrgJ3Z9/2ssFvE5MAg3E0yigpMdRPMY4xptxBhrgL8DPTA1nWL77oMJOuxDo6DDy21f1KJds4BXgYGCJK34uD+rKqw+6kqECGtis8dlkPcMyb9PK4vebRSSeY2oLvihO2/UlMLcCvZH5KmQevLlB4N6MPDLne0aUHudhtR5Fskfrt7tGoAzL3q4P7asORQ3830gjVuMcQb2pHmfF2NsT/jgZEwE4Nwi+94Uc9rDsOLZxQo6+LPPRFU1UXQK9lCyniCbx21PWIggWIZ0KXC0KnPyuV7RqcC75FtHNj7+5x33iarDuhJeQ+Dh9XGBPRB5DglcYMIXSwjqc/nKRaMCaq/TkDrPYnCyx1/yp33v3fjDAUxf61vEPeXCwATQm8cYT8PNHJHLZYFkuDrZY7DlzB7AZbiZXYr9XIp+AEwGhnv1SJOEr6rTeoWalZ+7gNWBJ1UbCgbkywne8eZgTAoVf+YX5XL8MwDj9uNxbMVmLPBSwA7U/1w7BtGYVuoCLNFw7SDa60ykzrNQnOzt2CBSd+BjI8/xZBL+FkC7gpN9jOYxxuvybKXwDFcnezNwG5bE/jPczO/zbqN1/NlnMLHggFD0JUzacFNBwk8yiRgR9sT2B/6AaQ8XhKKvY+Xz2q8jGz9RSOYtz3MAdSWMxKQHpgHbAG8E6EBf8Y4jA2oP4Gv8HespOZM6z3xxshU42XeAo7HBaL3x5/77Smx5dURRg4rFGGdgm9JnU3iMMf8MV/tcb2GO90dgfdxMoIkPir6FxWw2FmTjINsOAL9aRoeafYrQC3gIe5gaq0qx9Vwz3jHR90krtQ5YCAyNsM9lwCJgKKp1wEbAe5io/KQgHKhWqmLVkoJUA/oAKJUqGRpgmx2e1Hnmg5MdjokTjATewaqWfOq96xenvrXAtv0Y45pYEH9IQDHG9jNcTdDhS0zQ4V2CFHRYkd94x0QNvoo+id3/bQUZFLc9ATIB6AZcrMqUYhtT9GmsuEHLdWSTxRdAH6mKVNj+S6CfVIl4DnQEti97JPA+Esge7M+B3gF+Lr+q034BtdcpSJ1nrjjZ/TA5rlWA23Ezm+FmGmTwmhSn3irvQaV5jPFy3MzOnvBBweSc4epk98QyE38C3I2bGRGYoEPLdj0PzAK2FGTNsPopkN95x0Q59kIR4Q/YA9F7qlwYYNNnesfCHhSj4z1MZjnKRLD3vT43AcD0T7fAfosbAB8iUl5kH/5D0DZtnpU7ftLQdgG11ylInWcuONmLgUex+3U8bubYVs70i1PnPqg0jzEehJspLku2OW1nuDrZC7EfTinwG9zMrwLsuy3O8I6JclKK3gt8B+wmyEodAxJhA+CPWDJIIDUgfRR9EPgW2FmQIPccBs0L3jHMItXLM9E7Nsr0mQPdFlsFWBv4CJFixPb9eG5Q274mY8v6SQulJJpEOk8R6Soib4rIFBGZKiJV3uvDROQNEflYRB4QkS7ttVUUlrzzNHAepv24JW6m1QG/SXHq9gcVEz74H40xxg1xM/8KzHbayHC1z/VvrNCxL+jw1yD7bseufwHfADsJge1XC4rx2MxhZcgobRFvW8oL2O/7cFWv4FSwnI/dp0Q9AC3HE94xyuxuv8/ms0JVRXUspu40DJiBSLcC+/ClFbcs8PrmplkcdS4wMIj2CkVE+orIP0Vkmoh8KCLhyisWSSKdJ/a0PFZVR2Cxgj1EZAxwOfAXVV0bczitzQCLx8k62PLirliR4IG4mbdyuLL9QcVijF9he6vew2KM04szuFWaZ7g62X5YZumeBC3okB/nYfcpUUt/it6AqTgdIEiPuO0pkH9ge4MfVCXQBzIfRW/BfoP7etVzEodW6hfYnuf1I+zz0zb7VN0d20o2EPgEyf/eaaXOISCZviZ8BvSQqqKXlIvhWuA/qroeFiv+MEZb2iWRzlONhd4/y70/iu2b+qf3+l1AOILeTnYM5jgHYcuaa+Jmcnp6V/Rv2FNcy4PKijHGTUKOMTZkuJ539e6HYXHZodgTcHCCDvnbdTuWrbyXIH3isKENrsSWsm+I25B8EeEg4GBsWTVsLeE/YWNIktWZopPpa+R7bE9ty6juh41jAzAHWsj3P+jP9Y533DnANnNGRHpjqle3AajqUlWdG4ctuZJI5wkgIqUiMhkbBJ7BNh3PVdVa75QvoaEMUHA42ZOw4H43oBI3s3cBAgGX0dKg0hhjLCPaGONvUHh2h4/+DnQH/oib2T0wQYfCuRi7T5EtGefIpdgy/eFCUbGpSBGhH3AvFj/fQZWw/3+vwrZmHJbg+/QxUCFVkT6gzfD6bH1WqXoIcA+2QvAJkneM3ZfpCyo2H7dM35rYA8EdIvKOiNwqkuyVn8Q6T1WtU9WR2PLGaFpeBgl2cHCy/4c5vFpgL9zMRQW2dAVNBxWLMT5JY4xx60hjjM71Rwz5oh9vbjaL+/d/+3jcTJCZl8VwDbYX7xCh4PhP4CiqmIZrOQkTs2+HiVhVnfNUaVH/OEi8+3Qt9jCY1IorvkxfmHU2W+uz7YQe1SOB2zGBgo+RvJKv3vSO++ZtXcv4Zdy2CKi9fCkDNgP+qqqbYuNnkMmTgZNY5+njTd1fAMYAfUWkzHtrIBY3LB4n2w0n+y6mwvIdsA5upmBhZ29QuR4o67Goyw3YrHkvbLY8JLIYY6OgwzGXX7T/AgR+ceudh0XSdw549+lq7IdzTczmLM8fgKXAuNDqowaICBdjm/LfUuWyCLu+EMtRODah9+m/3nFshH0+4x3br1Sieiz2wN4PSyLKdTXN/1w75mtci2ZU6jzs/3GdINorgC+BL1XV1+79J+ZME0sinaeIOCLS1/t7N+xL+CGW6n2wd9qvse0jxeFk18E2x2+M7bUciJuZWXS7cL7Us3RZWd2xtSW1w7AfVLHi6rnjZNekUdBh8qGPbu6QzAzX8ZgM4VFJGny9+qh3YDO5qpjNaRMRNsWc/WKidRL+fbqFsOrIFs8E7xjlQPxsXn2qnow9RPYGpiE57RP3t8QEKT84B8vFiBxV/Qb4QkTW9V7aGVM+SiyJdJ5YIH2CiLyLLYE8o6pPYJvYzxCRGdhSx21F9eJkD8QqavQD/oab2aKp8EExqHP9USfcuW350oo6Dr7j9ldxM7tFFmN0svtiupqrAHfgZjb1PlfiMly92efNQBeIdMaUC7/FlvBPD6w+asCIUIoN1gIcqMqCGMw4C8v+PDVp96mZZF50fdZgMfNhuV+kZ2Kx9p7AB0jbAiKe/OACIEiVJ1+mLy6FrVOAe71xfyR2PxJLIp2nqr6rqpuq6iaqupGqXuS9/qmqjlbV4ap6iKoW7uic7GWY5mcJcCxu5oR2rsin7VuBW6++4Gd1Uk/do3u9NzKyQcXJXoTtAysFTsDNHOO/leAM17OxwffkJA2+ii7Gtn30oFFVJ2k8hj0k3aXKf+IwwKsjex+WjFZ8Hdng+RLoG7FM32zsoTx3VM8DKrH7OBVpt0hB0DJ9r3nHWGT6VHWyqo7yxv0DVDWM/cmBkUjnGSpOthQn+xw2i10EjMLN3B5Q2xU42UnY/tMfui3tsr6WNAwqv2v74qL7Fpzsf4ELaBR0aKnKS+IyXBVdhmUedsOWH5PEb7Ds1aTZhQhH0hhLPzpmc07B9jcGWYUnKHyZviArkbTHVKBEqmTDvK6yicK5QFdgMtJmAYV3sc8ViFgCjTJ9+RZK75R0eOcpIoeLyEwRqV+9tM/ni7TmWywu9CkmTvBOO03khsUYZ2MxiMmYaPwMgipO3Xbfq2JCDrth+1PbEnRIZIYrjYNvomYuis7DMhH7CTKuvfOjQoT+WNiiDtgugm0pbeLVkX0U6CPIiXHa0gIvecc4ZPryL1qtejkmYVkBvI20WqTd72PPvPtombcpUKav6TjrHQ8PyKbE0qGdp/cfeAswZJuyNeWTfuMHdafLKp/WfjcJGI6bmRdIR052byzGuCrNY4xNi1OHM6iYoMMXWImip4BhbQk6JDXDVdFFwMNAb0FOjtue5RiHDSp/jNuQJryEbaU5XZWZMdvicyJ2nwrd4hUWvpxdlDJ9/taPbQu6WvUv2KpHOfAaprC2PI97x5bey79Lk+mbh4nD5EzTcRabCQ8BbunoDrRDO08s4Nx9uzPWYuwl69CVMs6vfoK15latGljyjpOtwvQsS4GTmsYYm+AXpw52UDFBh1ew5c4q3MxeOX6u8SQwwxW7T/WYfYlB0TlY1mZ/QQ6J2x4RrsEExl9SJRu3PT5eHdlnsDqyydkSVakzsRl6ZAW8tVKnY9/lwvtU/SsWAioHXkKkWdUTrdTZWEJbkPKDM4GeUpXXuHAp0J11BsEho/3XupPwhJ9i6ejOczDApKovuPSMp9l1yQ1cuvjphteLwmKM/8H2uVUDW+Fmbmrp1OWKUwczqDjZO7H9YXXAPriZ8blemtQMV0V/xPav/USQI+O2Zzl8HeVYRRNE2Bo4DVt63z1OW1rhOO94ZaxWrMh3WBZ/lLQt05cLqrcDv8Qezicgsvze0e8IR6Yvn0o8g6EERoyADd+E/ps2eb3j0tGd5+cAfa7tRl1ZPc9d9VGz1wumMca4u9fWYNzMm21e0yjQXtygYoIOU7B9rt9jgg5PtnNVSyQyw5XGJdLEOHUARWcCbwCDBdktDhtEqMCW5gH2USU0TeRCUfQLbDVkoCBBxeKCoH3JvOD5BOgqVUXKzKnei+kUlwD/RaSpWtJHQBepkvwye1vH3xebz//d5/AgzPL8+trvNHm949LRnecfgOqvLpxn28ePBsqoppjMSSc7Gt9hwn/IUVx9ueLUhQ0qTnY4lpS0CRbcX6NQQYekZrgqOhuL560uSFDSY0Hhzz5bro8aPv/GNtLfqNpQ0zGJ+LPPuO5TS/gJdFEmDb3tHYtfIVB9kMZCGI8h4v/dlwLMPzGpZfySannI9N3wCPwMPvJCrzbfLG6cXQno0M5TVe8DxlHPLG5BqQAm8Lz3ev442ROxvVDdgYtwM3vmGTttuzh1230fgKks+YIOowIQdEhkhiuN9ykxCU0Aik7FtgesI7SYwBEaIpyIZYl/pkrSEqqaoeg0LON8LUEKS5gJnjhk+p72jsFUKlF9jEaN3n8hchiNn2unQLqo1B8xWcqcZPpEWBV+cxKgzDtmNvVAf2qBcQWPsysJHdp5gjlQVR3KqVQAy9iWsQUtUzrZO7C9kX6MsTJvWxqLU+c3qDjZS7BM1BLguKAEHZKa4arodOypfU1B8om9RIF/71uMb4eBCIMwofpaYLt2Tk8K/gNQUvYT+1VDWtv2EQa+xu2owFpU/Q8mV1oP3Lfg4obM2KBl+nIVqX8R6ALyO9WpAynhW/pQ29EdJ3QC5+njLVPei80ac9/IbTHGycBRFBdj9PEH3/YHFUtKehZb/lgEjMbNFCdJuCKJzHClcfBNVK1IRV/HylyNEPLcAF8AIgjwMpYwcqIqs8PuMwi8OrLTgI2ENjf6R2NPIZJ5xfe5GAsYtSm1l3/DOgEThK/rWcvtZXXUEKz84IdAmVS1LVIvwp+ADYE3VRtyOT7G4ryJLJAeJJ3GeXpkyGeZsjHGOAKYRBExRh9F38SC/BsJMqKNvh0strozVuV9EG7m7VbPL9yeH7HlpURluCr6Dqa1uYEgQT5VB8Gp3vGWCPq6CYsiPaNapJZz9PirGUnRUv4S6Btxn19h8onBovoysA2wbPgPVKCByg/6VZ9azTkQYRSmmlZN86VwP7bcdjm2DkCncp7eMuUjmGBB28uUzWOMt+FmNg9KNB7b/AzQknweONmtMcc5EAvgr9WW8EEAHEcCM1xpvE9ROKmcUfQ/mDDFVoIMDasfEcZiKwPziLYeZSAo+jyWlT5aaFvoPCLexyTzopwJ+zJ9we8xVX0T2GKjb6lH4K5/8ZeAWvYzuluU6ROhHHvgFuBnqixq8ra/VB1MnDfBdCrn6XEC5ijGt3rGijHG41o9twC8QWUWLQ0qTjaDLdN1BS7EzewbdjWWpGa4KvoiNuveXJDhcduzHL5QfCizKhF6YMo4CuymyrIw+omA33rHJMw+X/aOUT6IhCsNqDrl41VMjOCzfpyGSBAZrm9g37tNWnn/MWxScbtqQ1KUj1+OLcrYcix0Ouep6Pc0LlM2l4+yGOMzeFtcCCfG6HOGd2wcVJzsPVgmbi2wJ24mSjm4RGa4YoIAUGz5uYBR9EHgW2BsSPVRn8GqufxZlfb2ECcWRR/B6sjuKEjUIgXL48vZbRNhn/7Wj9ASvaYMsBWsVwZRB1yCSFFKZp5M33xaEDkQ4ShsSfYLGrckNb028thyXHQ65+nhO4orGl5pjDHugs12BoYRY/RR9F94g8r2rw0fipN9HzgCUwxZGzcTaXmppGa4Kvo4FjfaTmg7gSEGzseWrlpefi8QEc4AtgKmqXJ2kG3HxO8J4T7li1bqDCznIfREryZ9TsMS8kLrUyv1C6BuwjC+wRILL0Dk8iKbnQX0airTJ8IA7P+wDti+jWIE+ZdjWwnplM7TU0F5GVhDkL29GKNVIzFB57BjjD7nAdJjUZeP8bLWsGossyLouyX8h4obYuq/Nc7BBt+kxT5vAeYC+wjBZBeKMBxToVpKBykNpeidJKeO7A9EL9P3A8XK9LXPd7Wl/ATTuV0AnIPItUW058sENd1S5xcjOK2dYgTvUUg5tpWMTuk8PY4F6DOv252YI+0GVOJm9gk7xuijzvXz+v3Ynad3mlY2u//c23AzW+JmYottNclw3TBJGa6K3ovNyHcXApMhC4pLCag+qrctZaLX3q9VcYttM0H8kWTUkZ1BEJJ5+fEp0E2qQi0BOB2okPHMB9bFksxOReTmAtt7wTvuCSDC9cBawIuq7T5c+7HloFSPEkmndZ6KTl/zs1V/mNd78U9eGPNxLbAXbia6UkpO9nLgn+ddvXt9faky8P0LekbWd9skMsMVqMK+r4UOBmFxFbZUdqggFUW2dTc2K3pMlfuLtixZXIvNiH4ecx1ZPxQT5VYKv89dQ+zDl+nbG9Wvsao7PwDHI3JHAe35e9lHi7Atts1vAblJDcYRW46czuk8TfjgvQeOO2YVgN0fuuEz3MxT7V0WUN+lONkXsKXIhSfcuc1mWIWMg5NQnDqpGa6KZrEkhgOFSGcNbeJVqLkWq49a8FYBEfbFYt7fAwcGY11yaFJHthS7X3ERx1YKPwM1TOfpfy7bc6nqAsOxFZujEMlL8Ucr1QWWoayLaSoD7K1Ku9v14ogtx0Hnc55Odh0sAWWjUe8O/h/KtKVd6tZpU7AguL77Y0lJO2AVFwb2/OLMKSRjUGlKIjNcsVleKXBd3IYsx4VADXBMIfVRRegD/APbHrCTKnUB25cUqrA6sr8WpDwmG3wt2Ci3Uvh9BifTtyLPecfGcIvqj5i60RzgF4g8lGebc9DSAUAvIKvasO0mF6KI88ZK53KeTvZAbNNyX+Bm3MxoSiJapnSy22EbxlcHHsUyaud5744n/kGlgQRnuF6MyZ0dmYT75KNoHbblqAK4pIAmJmD7ei9S5b0gbUsS3uzzJqyO7J9iscG2UizG4ndR9bkI+32H1qdW6jIsfNB8i4jqAq/f2cCBiOQuLfrj0EWU1Ak9Z3+myil5muSXY4t9NS0sOo/ztBjjQ9hnPho3cyKAohOwZcotQlumdLKnYwLKFcDvcTMHNE1KWq44dSyDSgucS8IyXL37dCOW8Ze0YstnYvVRT8mn8IAIF2CzhSmqidMXDoNzsPv0mxjryMaxHhw9BwAAIABJREFUlSIcmb7mfAktyPSpLsIc6OfAXog828K1zRBhCO/9Ym0AjtkuW4Atvkxfkmq6BkrHd54WY3we+9EuAkbhZu5c7qzTvWOwKigmunA/FgtbBuyGm2lNAs8vTh3noNKAondj8bekZbj+DtvGcUIS7pOPojXA/Vjhgd/lco0IG2KrDjXYUn6HxyvQcDeW3X5+TGaEJ5nXOh8ApVIVah7Be9gD74rKQKo1WAz0E2BnRCYiLf9+vKzvl5ixl/mHVT7brABbOrxMX8d2nhZjnIXVuvsEE3Z/Z/nTFH0M+BrYPjAVFCfbA/uRHoop0QzHzbT6xLdcceq4BpXlGU/CMly9JdI7sWXO8bEasyInY4kS57Z3ogil2HaAEuAwVea1fUWHwi/QcFZMD0BxyPS94h3DlL/0Y5ItbxFRXYZtY/kIUzx6vRUHeiswiM/H+LHaQvJBoojzxkrHdZ5OdlssxrgGpsXYNMbYEr4KSvGzTye7AbY0tD5WPHsgbuaLHK70i1PHNag0I6kZrthKQS1wRhLuk4+iC7B4dh9BTmrn9H8APwEeUOWR0I1LEIouBv4F9IZYCnv7knlRFur2t2+E2edj3nHrVs9Q9bNg3wdGA5OaOlARdgOOAeZC2b60ItPXHk1iy0koCBAKoThPERkkIhNE5EMRmSoip3mvjxCR10TkPRF5XER6h9E/TvZUbLN5V+A83Mz+7QkfKHoXtky5R1HLlE72UOBdoA+Qxc1snavwQdPi1MQzqLRE4jJcvcH3QaAnjUvuSeFELGu2qrUTRDgE245iWZCdkxOIqY5sFJJ5LfQ51esztIouWqkzsYfv9ds+Ueuwpd1JwEjgPURKvWIED2Pf3129YgSfA70LLHcWRZy3ARFZV0QmN/kzX0RCGx/CmnnWAmeq6vrAGOBkEdkAm9Wdq6obY/9Jwet2Otn7sC0fy4DdcTOX5nH1Rdg9uanAvv8MDZvbf4WbyTdDDZJXnDqRGa7ASdh9SsoSNwCKuli8x1mh8AAgwqrY8nw9beuDdmi8OrL/BVaNqY5sHFspfsRWwsLke3L5XKqKLam+jj1EfCDUP4/F7K9QbUj4mewdCxE88EvArVfAtXmjqh+p6khVHYltRarG/EwohOI8VfVrVZ3k/X0BVhdzDWy9faJ32jPAQYF16mR74GSnYk/ytkHYzSxfLqc9rsdUNA7KS7DAkpImYpVSFgCb4mbuzrNvoFlx6lUF+XUhbQTJchmuV7RzemQoOg/bvL2KIEfFbM7yHO8dWxLnnohlVZ+ryvToTEok44ivjuwnhC+ZtzyfAd2lqmglqrb4GKiQqhy0ls2Bbg28eAVnr6OUjBbqP1RtFrN/wTsWkjUbp0zfzsAnqhqaTnjoMU8RGYql4r+BPYns5711CDAokE6c7HpYjHED7ElqjRxjjM3wHIW/THl9jn0PwFLEt8P0JdfAzRS7V88vTp3PrDlM/AzXE5MUY6TxPiVlew8Ais7CEkQGCtKQlCLCZdh39A3VxG21iRyvjuxE4qkj60vm5SI3FxSTvOMuIfbhzxhzqx+qqoIefy6X0YUavuanvZBmDxR+fHjLAmyJI7bscxjw9zA7CNV5ikhPbG/l6ao6HwtEnywib2OqFUuL7sTJHoI55T7AjbiZrYoUV/8jtkz5q3aXKZ3sTtjT5E+xz7kebmZBEX0DKxSn3q+988MmqRmuis7Bnox/KkjSJO38WofXAogwCtsuVU0HTt8vgGb3KUJ8RZ4wHdnyRC/T1w7etpQXlRKu4sy3++MOBGYgliColToHC4Gtm68hTWLLG+V7bTGISBdskvZgmP2E5jxFpBxzKPeq6r8AVHWaqu6mqptjTwWfFNWJk70Ky1oEizEWnWTjzT7/ii1Ttr6c5GTPwn6AXYBzcDMHB1yNJWnFqROZ4Urj4Ht1rFYsh6LTsHjRWvL1T3fEluIF+Jkqi+K0LUkoOgObLQ2LuI6sr2UdpUyfX6N3ixD78B10rnsz78Ue/h85RbOjsDF7deATpKF8nAsUWvA9jtjynsAkVZ0TZidhZdsKpov6oape3eT11bxjCZboUWhiTilO9kVM1WUhsHmhMcZWOBebFa8oWGDCBw/SWHNxZ9xM4EtwTYpTRz2otGZPIjNcFf0Uq4M6RPh/9s47zK6qauO/NSW9ECAgJSRKL4amNCGEqqAgfiAgqDQpwtBFisAkVEGQFlCkCB/Si0hTaSkggnRpAQImBIgwYkgvk7nr+2PtPXPnzi3nnHva6Pc+T54Dt+y975l799p77Xe9rwRabacIWwDtf+eDmKLNjaqEPYf/b4A/I74mrQ61VRdhknmpmR9oq87DBDES69OViCwkQImICHtiHJF/AftYA7oPFlBXxgLoMKwutFnGy/AIQ/J2bEme85bieyScsoXkdp5fA34A7FhEG94d+J6IvANMxWjMgaxyROQAEZkuIoXVG5f7YKEu/RdmFPwuZh79apyDL1JB6Qec1fnE8AmDMfLTPliZwZq0tUyMs+8S+N1napNKDeSS4UrX7jMv9wkARV9gwtGzmDJmEM1L/knXOP8fRXA+sm8AGwiS5k4w1VKKoj5XSLiPjzD97opwZgR3Yr/nsd3MCFS/D9yIjfO95Rbxd/dMFFEJfwZb8Wy5eH531x4s9aAQkQFYWvy+qG0ERVJs26dVVVR1tKcOq+ojqnqFqq7j/p2mxvaqCncjrwNGjmlaS6YNax3Rn+bl3l326fPAunGcMVZAd8GC4RM2xL6U62IsstVoa/koob6BbubUaU8qlcaTS4aroq9h597rCrJF1uPxEGEVjrtqJRo74JVNPvlvLUsJCC8qkaaalZfpWyfFPt/CZPqSFA94Dftc1epYJ2Gbg/GqvNHjWdXDsOOrYffcyWHu0SiZHX+2XPact3h+x441RgLXRQ2gqrpQVVdQ1cQVu3qDwtAFwICtzhvFzHdn00QDpy18gHU+P3elmM8Yu8GlKe8BBu/5yJdvBl7FSE6X09ayHW0tadlGedeX36TUXy0cQQ4ZrljRPeRIShB4Cm1o5MLTPmODqRsLiU6YvRqKPoWl+DYXUgtmXjIvzVKKZ1Lo05eIlGUwizAOE0d4RZVzKraiejRw+fYzGIRC87JIUnu1LOAuAAaw+t2wyqO4kDSA/FQaVERvCJ5rADSsKfxj1Ges96NzuXjR452PJ4wfSwF9eqv3fBH392hrOTGFfjtRZE69WYqTSrXxzCKHDFdFnwGmAZsIqQp+l4UIV2FOFpM55VKfrr0xwyH1BhznrvEaNFSGL6XYLqX+0urTSwH2EDYQ4cuY/+xiYGzNllRPbFIuGrwU+i9jfSTcArDIjq3SOe8asB98uDfM3QjLIvvH843eEDw/AHjm8H9AB7x36mfdHk8Mwyc06vCrHtrt8Q3k38svZKtHLj2LtpY7ar8xEXhz6rQmlVrIJcMVOj0HM92li7AtJn4+D/i6ovcD/yRO44H/QCj6MCn6yBZJ5qUm04dJdyrJyvRNw46cui0inRnBRCw9um9gMwLV0wYspW1uX1gGryOhF/FVzpZX/hBuBgpw8PYmTGpIdn6PAb0heJ4BLGQ+tp4aBhzFUvd4Mhg+YTXsfHOba36637so+txXp0eR2osFeTOnzivDVdE/YYIVXxNkZBZjEKEvdi4M8E1Vlrj/9sYDufFHzSl+6q5pLRTTkMzrhLaqAp8DqyfcVbkSkfswEtBtqp2700D4ZDCPI/D86vQH/o5UPU8tRRU7trcaoQ988VQY/q6vJl1IkvN7TMh98FTV2zDW6QyOQCkAv2Sxezx+DJ+wI3b2sjJw18iPll8XYQqwiiB7JdJnMHjJrLztPnPFcKVLLzmr3eefsbPxCaqdFlEoehM2oe2WM3/UXEHRW7HSia8LkjQrFey3nrRkXin+AQyU8YlqRb8H9JPxJnYgwv6YcMAs4PsR2psEcMF2PAr0xdxYNg343rJnsCJcBMNWhU+n0XHpLAC+xALg8MTm9xiR++AJFkBVdZR+qg008Bj9GSLIfrF3NHzCqViRcTNwMm0t+zlSUuZpyhJz6jQmlVrjKWa45sazT9E7sKLuXYRIdWmRIcKPMVPr91Qpl6k4D/vN/SrNcfVCjMN26dHqwMPBS+btmkJfHt5TOEmlqc4SERGG05kbjWxG8DDAQ+si2JFEH+A5JBC7vYdMn1PcOgVYCCtvwqGsBijrM6M3BE7oJcGzBL72MT5hAhM++D2mKLQU2IG2ls5A6VRQnscEC3aIrd/wGEd6k0oQeIZr3lKRZ2L3KbXdpwijMD3kdiqTQS7HzkH3CWU88F8GRa8G5gDfScFHNguZvifdNQ2Zvp3pMiM4RZVpURrTVv0IUxhbD9WrsQ1FM/AXRKqSn0rt2ERoduPrVNxy6exI3qFZodcFTye6/QwwQpBv1N2gCR+8A+yFpTS+SFvL5DKvzFywoMicOo1JJch4csVw9VD0N9jku4cQwF2iTjh90CmYocARqsyqMC4FLiOM8cB/L35BOvfJn0+nmT152F2TrEm24Dl71HeA9YC/qtadOeuS6VO9AUv/GglJanIfis+WH8REHEoVt6YDg2S8NNY5zlTQ64Kngw9k9Rk0D5+wMUbEWQuYDIygraXSxPcqVlS9XsaCBeFcX5JHLhiuZXAhdp+uTqGv6zGHoD+pclON147DqPt580fNGy7AiCPfT/I+FZVSrJ1UH2X6nIPJ9CXWp7bqIgoNS+g77wvAAuJJEb8D9JHx7sxe9VZgPyyOPIZINdsys2PrM/8ITG1oJj0Vt7x36JgYxpo4emXwVPRN7EavLcg2kRoZPuEgTDt2EHApbS1jAwgfHOWuWaYpvTl1opNKUOSB4VoBF2OT7/5CcmQQEXbF3IJm02W3VxFu9/lrLI2WhY9lr0CJj2zS9m2zSF+m75/Aikk1LkIzn49spt9sgD1VWRRDs8+5a5fAg+rdWNYO4CGkIqnyReZ+AdoHXIOV0WxX5uzVS53Wn1FMAb0yeDr487bw53/DJ0yAzh3C/rS1/CTI2xR9GmOxbSqk445eZgxpTipBkTXDtQfcfboSu0+XJtGHCAMxp3oFdlUlqBXeT7Gz0R/nzKEmb/AGDUcmfJ98KUWaClBepi+pBedDfDK6gYYCjJN/xtSmVwvqnqJVfYAu3dv7EPlumfc+wW+fAqQROFaVcibV9XiHpo5eGzwV/Rum9v9lQYIVHA+f0MzwCc8Cx2BnYhvR1nJnyK59mjLL3ac3p056UgmELBmuNXAmlh77kZDIOcoTmJTYxaqd7MaaKDIe6E+x8cD/oxucj+xvSd5H1kvmpemd+1d3jV2mT4RDgV35ePPP3UNRBN3LwXNBNunxjOqfMAJUAbgTkR90e/68BTszey1Y5YW5quXZ5tqqn2HzWmop9HrQa4OnQ4u71g5kwyeMwIQPtsTOLlejrWVq2A4V/SOWptxWkBFh3x8HSsypx2cxhjI4m3wxgf19ugGrS6us4RkBIpyCfZfeVO2swQ2D4yg2Hvh/VMKJJO8j6wk821Z9VTJ9xnq+J8JqmL5zB8vN8PKZsXwubdUOzAJyVPkX6JOY5F8H8L+IHObGtB3LBhxBn7lwyJjFNbr5FFgpjvEmjV4dPBV9HJNx2lKQURVfOHzCrhgrdDhwG20tG9HWUo8hsU9TZrn79ObUJ+Zh8lX019hu/ttpMFxD4CTsPh0f130SYR26ypoiTX6KLsAUXwZD2ZrQ/wedBg13YdyEpHSlvWTeRgm1Xw4vuT5Hx9zuFKAJaNEHrp9I/PKDM4GhMr7Cb0n1aUxTtx24/jNZ/nj8QmG/73xMn8W1atSnAk0yPv8ylr06eDqc5K43lH12+IQzsFx9M3A8bS0H1tthUZpy16wEC0rMqVMVq6+CNBmugaDoEuAOYCAQ6Gy7GlxZymTst/NDVT6r8ZZqOBKb3M6ud1z/4Tgau08/S6JxV2M4G2NMpwLX5xxilOkT4WrMBHuiamcGqJxMXz14DcswVa44UP0blpVZ+h3uvxxbIF7Jmk++gp3zjqrSvk9nl3WEyRN6ffBU9F7MmHoHQVbufMKEDx4Azseo6GNoa6mvtKU7WrEvUZYWWN6cOpFJJQJSYbhGgJ9849DLvBX4AnC/KmHPy7tB0dnYwm4FQQ6KYWz/kXA+sg9jPrKHJtTNdEymL00G+3RiqmsUYXvsez4XKC4ZeR/oL+NjE+WY5K67V32V6ssb8/IlT7EdazINRT6hywKu2tnyn9x1+7pGmQJ6ffB0OINi0e3hE4Ziado9sHPOUbS1PF3x3RGg6K+wleNeWQkWlJhTJzWphBlP4gzXKFB0Hq4wW5AjorYjwp7A9zDt1X1iGt7h5NMfNW/w9+n8hNp/0V2TlMwrhZfpq0u1zJkReKbqbkVmBNAl0xeXmpHvp2qJoAij/s4mpwLLJjNmEXD+fbd3qgdVUyTyO8+N6xtm8viPCJ6K3oilJ7754o4/3Q4LmF/CZLBG0tbySUJdX4ylKSck1H4QeHPqvJjHJs1wjQo/+Z4b5c0iDAXuxHawY1WJxQxd0Y+ApzDjgTTZnr0Kin6C1QEm5SPrJfO+nkDbleDrGuvt8zHs+OZK1U7msIeXH4xFu1dbdSZGCFq/0mvc0cZTQCPI4asxayNg4bff5khX2VmxOqIonZ17mb7/iODpcP4ht27ZsOnrIyZj51sX0dayUwDhg3pwIZamPDCrNGWROfXKguydxRiKkSTDtR4o2oaJ/q8U0VRgEo7drMobcY4NOMxdL4+53f80+PuUhEHDH901TZk+v4v7atQGRDgO28lNU+30/S2Gr82MUxWtS6avPG7AznJNcUv1fWC9Bpg3bBH0WUatetoPgMF5l+n7jwmeheFXrnvDCQfS0VCQz5ZbsD9tLVHKB0LBpSmvwtKUlyTdXxVk7vpSgtgZrjEhkqmACOOw2rZXVONfEDjjgRfJ3ngg11B0OqZyE7uPbBqSeWX6nI0xtteN8n5nRvBLjNlathylSH5wzWijLIt3gb4yXoaWGdM3gEMoVdxSnQmsu8YcOpY20rygWaqVtL3qrtHU41JC7w+eJnzwvCBHLO7bvnjDp89nxXdPS3MC+hn2ozs8qzRlkTn1GoKk6Q5RaTyxMlzjQhRTARE2xtiwi7EatqTgA3tumMo5hd99JmHQkKhkXgV8EqXP7qlRDlOl2tHUx5gJdlx43l27iS84xa17qaS4pTrrveW5A4EpIzkSkRsrtO/T2dVJSRmjdwfP4RNGYV+MrwCvzR+4ZPl312pbDBySViBzacobsTRlloIFfveZ5flrMeJkuMaJwKYCIjRiZ0YC7KvKnKQGpejLmHjH+hkbD+Qair6BlUusKwTykgwDL9OXpkbzW1hd42o1X9kdN2Kp0UdUuaXGa98EGmS8rBNlgGVQXqbPzo2rKm7N72up6ofXYSFwCCK3lnnZg+6apOtM3ei9wXP4hN0wlf8Vgd/R1jJ6+NunL8L0VdMW3fYqKCdklaYsMafO/EsXF8M1boQ0FbgPW7Hfqtr5g04SP3bX3GgE5xT++xR3mVgWNYbPhu3TpUYPJqAZAeArDeKSAvQ7w82KxnQKFuxqKW79EeDar/Aqtus+AJF7il+grdqGpaIjpbPTQu8MnsMnnI2VaDQBLbS1FOso/gS78UenFchcmvJOLE15chp9VoAXy8+y9rQYdTFcE0RNUwER9scmplnADyq9Lk4o+hRWl7eZENsu4T8Oij6LnbvF7SPrvT3TtMQKJdMnwmBsUafALgFZ356YVNW0Oii0Vdsxm7NRbkzrEVBxy58tL2vkS9g57MfA3og8VPLS3Mv09a7gacIHD2Pp0UXANrS1dDsjcqLbv8PSB2mmDL1gQWZpyryZUzuG6xNEZ7gmglqmAiIMB27G/p5jylgnJYkT3PX6FPvsjTjOXeOUyPSSecGMJuLB867PoHWNT2CGAheqdtamVoW26hvEL9P3IbCcHDJWMCZ6A/D9gIpbdrasugDzUv4A+CYixcbYbwPNMl6qsXozRe8JnsMnDMPswHbH/nAjaWt5tsKrj8VqkU6p8HzscGnKh4Bhghxe6/UJIg+uL8XwZ7F5sU/zqGYqMAVL/Z+iyrT0hgSKPoitxrfLynigN8D5yM4EtonLR9bVGH5O+jJ9c4P0KcKpWFnLG6qhVcVmA2HPVavBZPom/+yPWNnKfarcHfC93o5tBKqLsAD6PrALIpMQEbrS2XE5wsSO3hE8h0/4ChYwv4gVBK9BW0tbpZc70e3fA0MFOSadQQJdggWZpSmLzKljm1TqHE9ohmsaqGQqIMIvgPWAv6pmVvrzU3fNywIor0jCoGEGMDADmb6qdY0uNXoBxuyPIl33D0x+MK56dLMnW/25r2N1n2EUt/zZsp3XqrZjv7m3sc/2TEOhU6Yvt6VboYKniIwQkYki8paIvCEix7vHNxGRZ0XkFRF5QSRGwsrwCYdhtV0DgAtoa9mVtpYgabSjsEA2Lrax1IBTQXkSEywoZwibFvLg+lKMwAzXlNHNVECELbAz6wWkK9PWDYreikkAZmY80Bug6J3Y2djOMfrIvuSuaWqrvuKuZc8LXVnKJGy+PjCiGYFP8cZTyjZ1zykArPG0AjuEPNroec5rAXRDjHG+1aLzuMK1GLtMn4ic6OLX6yJyu4j0i9JO2J3nMuBkVV0f2Ao4RkQ2wGTqxqvqJlhN3MVRBtMDwydcj539FIBv09YSOFWh6GcYpXpFQep2UgkBn6bMTDShyPUlzkmlnvGEYbimhm6mAs9tsRrwKFaWsqcqizIdnC36sjYe6A04E7tPcTGUvUxfmlmSSe5aSabvDiw1eq8q90bsI1aZPu74wy0UGmH15z6PoLhV/mxZtcM99kqfApsObKeAEmv2TERWw87Lv6KqG2F1svtHaStU8FTVWar6kvvveVjuejXsRgxxLxuKndlEx/AJfRk+4SWsIHo2sD5tLQ9EaMkHsniCeQA4FZRnMcGCeL6o0eDNqfOy+/QM17Iu8hnCTAVaJryMfXevU+2cQDODoldjZ2GZGQ/0Bih6HXZOuWdMPrKecRtZMi8CKtY1irAXsC+2GK4nm+XToHXLD4owHhjN4qHL6P/5gLDvr3q2rKpYCcxzoz6nARhy+dax1+w3Af1FpAnLaEaKV5HPPEVkFLApllI9AfiFiMzEdlynR22X4RO+hAm7b4rtVlahrSUSaaNIdHtVQdKs3fJB+6oU++yGInPqPfJgTl3EcB0tSJysv7qg6I38+ogFvPDV4UjHTLqCfB6QB+OB3oALsLmsbnWmIsm81EqFtFU/o0xdowjDsF2nNyOIzPrWVp2HqWStVcdQveLWWcBi+s55AZPpizK/zKCSHZsF0K3X+JxPERj9T6Yj8ZxBq+pHWIz6ACtDm6Oqj1Z/V3lECp4iMgiTYTpBVediZRonquoITDCgvDF1+bYOEJHpIlLYp+8mnxS08A5WmP5b2lo2pa1lSa02asAHstREt50KyqvAOoJslVa/ZXAh9jdOQsosCjzDNfD3I2mIsBrHXNOfxg54ZZMXUy5LqYULyNh4oJfgEuyc+nsx3aesZPpKj1gmY8plZ6nyZgx9zKIOmb5SxS0aO55zT0WR0fN2bOXPllX1j+twJsATX2L1+fDxQBcnXLw4IEKfiMgw4NsY+XRVYKCIfD9KW6GDp9gK4F7gVlW9zz18EFa4C3A3AWWV3A24Dhh55nJfl7sHH7aSQuOdS168kbaWWPwpFX0Hy7F/SZBYioQD4ih3rSaAnDRyZU5dieGaMaZQaGjgshMWM/r1bwmxmQbXDWc8cA1mPJDa0UNvg7tPV2DpuDgY0lMxybw0S4WmUlTXKMI52Pnfi6qx2Q36EpFariaV8Hu6K25VkukLAn8Gu1uV1zwE8MdRzBsEK75G88h+FrhHAtdFDKA7A/9Q1TY1ktJ9RBSgD8u2FWzX8JaqFn9JP6ZrBbEjpv4RBBcAA77y4Br8YtYT/LvPAraecyn7z7spbqajl/NK7bzNqaC8A2ycVZqyyJw6rkklDnRjuGYJEa4GvgQykWOv/gV2ny7LeFilOA1LIx6RM3/UvOFsrIzjsBjuky+lSLPG0O/i9hRhU4wItYh4SzX+4q6hZfpEOACTECxW3PLcgChazDXPlrVVZwHtLy/HgPuAy7iUTZlCE83gqy/C4wNgKxEZ4OLZTtiiIjTC7jy/ht24HV1ZyisisjtWinCpiLyKfaCgWqZrAMhUWNJvGaudcSbPL/ug8/G4oOiL2A3aUJBN42y7BvIgWODNqeOYVOpGN4Yr2amHiLA9Jl4/F1v9tmJnQqmZCgSBMx64CfMSbc12NPmFu0/XY2nO8+pszk/sY+tsJwyM0LOsz/aY76wAe6syL8Y+QkkBejjFrZsoUdzSVl2CZba+GHYgIezY2hhA496MYwLHMphPWdZl1hI6Tqjqc8A9WDbyNSwGRmJqh2XbPq2qoqqjVXUT9+8R9/jmqrqxqm6pqoFko7BVAM+f+gEshiU/6vAj+iDcxwiE1EW3FX0U+yxbZ5WmLDGnrndSiQs/I0MmsAj96dL73E2VJW6Xfi3pmwoEwQlYmdiJOfNHzRtOxog3x9Z5n7xkXpoyfbYr/N0jewLLA7eodhp0x4W/Y59ro5Dvewo7OvhJGcWtD4HlIo4nyNnyuyz8AjZlLOJRDi5+LlKcUNVWVV1PVTdS1R+oaiReTdYKQ2cACykAv8XW1ufTTgL6sIpOxlQ2viJIXYyzkPB+lllqlXpz6uPyMPkqegNWgvRNoaehbgr4MzAIuFyVZ4oeP4WUTQWCQNFFGJdgENkaD+QaJT6yP63x8srthJDMiwvaqsorP1zI9B0HY8dgByXSh/3uVg/6HhEuwXaHz6iWPdJ4HbM7i7LQ8GfLlWUDlzU9x/0321KbfYD5/pmFZGx3mGnwVNXbsJTvDE7ErFNPpoBye0Jdpi66rejdWJpyx6zSlEWTygDqmFQ7k8nlAAAgAElEQVRixnlkwAQW4TjMXeJdVU4sfi5DU4EgyNx4oJfgGEzXOnq5nGE6NSTz4oQIK/PA9f2RDmhYsl2CrO/pBJQfdIpbJ2FM5krKRN7uLMr5cG07tt+8sC3v7wqbX/IpPDID2znPAA538SMzZL3zRFVvU9VRulgbaOZWmulL124t3r7QB7BV3RghtPlsPfBpyix9Gr05db2TSly4DFtG7psWw1WEURhxqp3K9kypmwoEgaJzsDOrYYIclvV48ooiH9mhghxV6/VV4Esp0rInm0yhSdj1J3B2v1UT7McfqVUlZYrQTDDFLS/w8LUIY6l6BivCgXw6ehvWuw92P2OWqo5S1QZ3zTRwQg6CZwmOIfnV9WmkHMiK0pTfykqwIMZJJa7xKBZAU2G4On3QpzDRgcNU+aTCuLIyFQgC7496ftYDyTm8QcM5dbQxyV0Tl+kT4VJgXQZ/PI2tr4Dq5Rv1wjNkK0kBejyMKW79pprilrbqNGyxGaWiwJ8tjy59QoSVgd+CdLDHEfNp0FER2k8UuQqebnX9ELCcIEEZu2H7uAX4DPiGIMOS6KMCvApKlvJ0fvKtZ1KJE2kyXG/EznoeUeWWGq9N3VQgCJzxwETMeGDvrMeTVzgf2ceA4XX4yHpC2ZbxjKo8RNgKE5ZZwO7H+NRokn16ElJFmT4RDgN2wdKjQRba/wZWCTuQorPlcqzZyRhJ6RQGfvYBMETG54eHADkLng5p2HqNwz57mqLbl2JnB/tlJVjgJpXHsUklkhhyzONRLAPQh2g1W4EgwjeAg7Hd/54BxpWVqUAQeIeavNTt5hV+8R3JoMFJ5i0F1o5tRCVwqdE/YZmwPfSO+2dgRwrrJdWntuocrHSt7OcSYQQm7LIMCHr2Og3oJ+MjaTBPp+RsuXMn3kVSMu/QdPWGayJ3wbPI1mulOlaNteBFt/8nLdFtFyguJ/tCfD/55sWc+ifYhNGSBMNVhMGYiogCu6jSEfCtqZsKBIGi72MF9WsIEo+91H8gnI/sX4DVBYmaBv0UWCm+UfXAI1hq9FpVJrrH2hLuE6qXiEzG5qhjVJkZsD1/jholxe3t2LaFkp14F0lpkrvmyhg7d8HTwU9ciUzwLpBdgp1/pekx6dOUh2ZViF9kTl3PpBLneJJmuD4B9AcuVCVo/XGWpgJB4AlDdQuh/4fDzyNRf+O+lCJ0SrIWRDgcCw7T6apB9302y/hErQS9TF83uy8RrsEED55UDcUJ8cLqUZThJrnrbiU78WKSkicWZakT3gO5DJ5Ftl4jErT1Og+Tv/qBkI5rfIkKSpakj7yZUyfCcBXhVCzV84Yqgb1gi5C6qUAQOOOB18jeeCDXUHQqtrNZK6KPrJfpCy1nVw0uNXoNlhodU5Ia/Zu7Jrlg87XNnZ9LhB2wID6X8ELvPnhGsTsrtmPzO/FuJCVt1ZnYvUosnR0FuQyeDn7iSsSOKUPR7ZOIRwUlMorMqaNOKnGPJ3aGqwjrYeeoS6jk3FB7XFmZCgRBHowHegP8QjHKffIemGPjGUo31ncTcHSZ1GjsfZaBlx/c3o2pP+D9kndTJZTijpPpWwSEFpzvtGN7f4dNsJ14JZLSv4AvhG0/SeQ2eBbZeq2d4AR/OkYKOCqtQObSlLdhacpT0+izArxvZZqkqWqIjeHqJqhJ2Pf7QFU+q6M5v4jLlYm3os9gRI2NBdkg6/HkFYq+gPnIflkIrYLjd54bxzikX2GuII+rlpWn9KIDcfZZipfoLj/4KOUVt8LgIyBa9cKCYf/igRuGUZ2k9A7QR8anWiFRFbkNng5+BZLIxOUC2c2kL7rtVVBOS7HPbigyp94owqSSxHjiZLjeCawM3KvKvXWO62XgTdI3FQgCbzyQpfRjb8DR7hpKS9mVUswhJpk+lxo90rVZNjWqrdoBzMMCbCJwn+tzYHWnuLUtZRS3QuINTKYv/ELu3juGMWcNWOGt06uQlHw6O4p3aCLIdfAssvUanaCt1/FYIDspxd3nAuAPWJryx7VenyC8OXVeJl9fXnBR1AZE+B/guxhr8btxDIquyTdLhageUPRPmDB3ZsYDvQGKPomlA7cUQntZ+hrDugh+LjX6ILbj+4ZqlzVIhT6HJlzXOANlEA1LailuBUUkmT4RruH9Xfux/Xg4doPZVV7qvUPjtquMjFwHT4dEV9dOdPseYDAWSNOCr2cdn2Kf3VBkTr1FhEklifHMxM6DVhMkNC1dhGFYSrwAjI1LHzRDU4Eg8FKWWdre9QZ4H9mw88ir7lrv0dFjmGD9L1U7NV1r9ZmcWILystlKT2kEDqmkuBUCXlRi26Bv6CQp9Z2zgDHnQ3Xv0snumpvsT+6DZ5Gt11YJrq6PxCbcsxJqvwdcmvJRTLAgiiN6XIg6qSSFesoLJmNM5rNUeTO+IQEZmAoEgaJ3YvWIO2Xpj5p3KHofVt84VghVeuLrLyPL9IlwAqb9+rZqIN1uHyiSS1E+cYEtAkf/7j1Vbq23OW3VqdgcGihD2I2ktKzvzjQUoMo5r7ZqO6aFParOocaG3AdPB/+FuyGJxp0s4B+B5QU5OIk+KsAzASOnKetFkTl12EklqfFEYriKcA5GgHhRNX61ogxNBYLgLKw2Li/kr7zidMLrWtdVYyjCl7Ca8naCs759+UYiZUgi7MYLR26HApv878cxNv1vIKiofRdJaVm/Z6ks01eMD0k+nR0YvSJ4Ftl67ZDg6trrvl6YUPs94NKUT2OCBVmqZ5xB9q4vxfBnn4GIYiJsCpyJ0eWrpX7qhTcVyFWKVNHfYASQPbIyHugNUPQmbILfPaiPrLbqJ1jgWzdsfyVmBIFTo9qqs0iortEpbt3L4uUVpB2JVX7wPaC/jK/ukuR24tsC7xSRlGZQW7/Wy/RtFsdg60WvCJ4O3tYrkYlL0VnAFOALgvxPEn1UgN99XpFin92g6I2EnFQSHs+LmArKhoJUpeyL0Ijp9QqwtyrzEhyXNxX4esqmAkHwczLwR+2F8D6yYRj8UWX6bsZ2Yg9FSI22YYzxuPEkprh1AaKzqCzTFwVewauiY0vJTrzYisyf81azNvPp7FzI9PWa4Flk6/XNBCf4Q9310oTa7wGngvIysKYggQ/bE8D5ZO/6UgzPQq51xng/sDxwi2qnY0SSGEf6pgJBcDGmB7p/VsYDvQSXY6UgYXxk3yakZJ4IuwE/wBale4UeZVdd4woR3ltpTKdhKkCvq3ImXfKDsZTiYFKYUME4u8ZOfJK7VpMM9aSkresYY2zoNcHTwdt6JbK6dqLbfwNGCbJjEn1UQD0qKHEhdXPqagjCcBXhQExi7GPgoJSGlrqpQBA4xawryN54INco8pFtJLjsomfHBpLM60yN2jHQjiHMCIrxnLvGIg0owgbYAnkJXTs+LwIR107OL143r/C834k/XGYnXtMCTlt1BlZWuH49g4wLvS14eluvfRNcXfvzttREt12acioB0pQJjiHKpJI0KjJcu8xy6SC4dVLdyNBUIAjOxibHzIwHegnGYQYNBwe8T14yL+h5+kQsNXqeamc6Mix8XePYiO/vRBnFLV9P6WX66u4DQFt1EXZfeyx2S3bi3y7z3qBny7mR6etVwbPE1iuRM0JFXwVeB9YTJIrQcVREUkGJGd71JeikkihqMFy9We5PVHk/5aGlbioQBDkyHsg13DxyLeYj+/MAb/GSdTUXtiKcge28XlPl7MiD7Drf26SONjzuAoYD95Qobj1Pd5m+OPAxdozSiZKd+M5VduJBznnfBfrK+Oy5Gb0qeDr4Cf6QBCd4f96WGvtU0YmYPdFXsxIsKDGnzqx8pgSe4dr5tygyy/2Lavq75AxNBYLgZIypmZnxQC/BKdhO55ha98lJ5tUspXCp0XOpw4ygpM/5mEVYZIiwN7APFpj2LelDsc8V15kndMn0rVP0mN+JX6DKy1XeG8SOzcv0ZW6n2OuCZ9Hqug/EX8/n+ngao11vKkiaNjietn1jin2WwptTH52HybeI4foNQYaVmOXukuHQTiVlU4EgUHQJcDvZGw/kGk7X+hZsUg/iIzuTKjWGJanRA4pSo/VgJrXLNyrCKW7dSnXFrenA4HrlB4vwF3f9lhuD34l7klI1+MBY7Qz2MXfN3Ai+1wVPB2/r1ZLgxJW66Lai92MqKGOyEiwoMqfuDzW/7GnhHKCBjoZr6TLL3aPILDd1uEVcFqYCQZC58UAvwXHYffppgNf6s8tKTM+7sdToXarcF8PYAP6OfdcrEXBqYQq1FbdecdcxFZ4PCy/wsF3JTjxI+/5suRpZ0zN6M5fp65XBs8TW6/SE+vgjpmjxNSE2KncQ5KEQ35tTB5ESSwNXYemlfei3cChwrWqnbFqWSN1UIAgUnYdNYlkbD+QazqDhPmCIIC01Xj7JXXvI9LnU6N6YkMv+MQ7Rn3uGZtyKcB6wEbUVt/zvqGJtZhhoq74JFCjIRpQnKVVDTTs2J9O3gBzI9PXK4OngV9dBVo1RcYq7prn7vBlLU+6WVSF+kTl1kEkljfEoD+0+kcaCcMOP5qmWNctNHRmaCgRB5sYDvQRe17pW9qBsjaEIK1A7NRoVvs9QMn1OcesMgiluReqjBmbz3PFfpDxJqSJC2LF9CAzLWqav1wbPEluvYxLq4w7soH0XIb5i5QCIooISN7w5deYpSRFG8O0/fJOF/eF7t/fLE8OVDEwFgkDRNkx5abggce6G/qOg6Gy6fGR/UPF1lSXzvBnBGapMjXVsrTrT9Rm4rrFEcet/ailuaat+hh2BxSfTN33MbB6/sBE6epCUAiCIHdvr2OcbHXWIcaBm8BSRESIyUUTeEpE3ROR49/idIvKK+zddRF6p1VYC8KvrcQn2cTbp675ega3A9slKsKDEnLripJI0OlVJCk1NPP+VR5F8MVwzNBUIAi++8YtMR5F/eF3rWmUr3WT6RDgfcxF5XjUxdnrYusY/YKUiN6t2niHWwifYLrFuiDCMe27/Iv1nw3f3OzvCTjyIHdsUd41JQEKOF5HXXXw7ofY7DEF2nsuAk1V1fWxrf4yIbKCq+6nqJqq6CVbDE/iQXEQOcAG34K6RLLmKbL1WFOTAKG0E6OPXmPP7t9MS3XalEL/ECvEz07ylyx4sSC1cUvgVlsZ5nO2f+hY5ZLiSgalAECg6A6tRXF2QzKn9eYWiH2GycasKUk1F6F2cZJ4Im2N8i4Uka0bg+6xZ1yjCDzCm6kfAISH68CUicZAUpzB/1Ub2Ogg2vDeKElBtO7bbsd/+O5xbT/wAEJGNsN/vFthZ67dEJNAuvGbwVNVZqvqS++95mGB3Z8G6iAi2Nb894GAPwMgwI9nM7FiB6+q4AWnYev0cC2RXJdhHKcZjZxYHZZWmDDGpJAJnlnsktnjZ3RHFcsdwdaYCk0jfVCAIDnPXNL+7vRH+PlVbrJpkXkfTHljJhDcjWJDguIKUb3jFrRswHsiYkDu+WKQA3U58IxqXvMRaj4Hp6IZFVTs2ETmAt7mAAjA8lvixPvCsqi5U1WVY8P5OkDeKavB7LCKjsC3zRqo61z02Bvilqga6USIyHRj50j3wxQI2LSqIoEMHMDfwYIowr4lBHULjwGUsaFaWRWmjGhSY08xQgKHtzElry7OwgX5LG+nbp4MlAwosTqnbbnhzMA0bfovBIxdQmP5Aco4lpVCFOYuGDkVhUL/585saOzoA5jfAcvsytH8HzL6bOU1pDagGOqBhXjODRSkMXZbefQqCuU0MKtjvY35zNJ3V/woUzSNl71O70rSgwEApNKkuHSjNTUuXDuy7KNFyKd9ns7B0YEPl0qy1Tnpn8HufrNVwyQEnLzr5m5ctDdPHlIU0bP8Rg787iPa7VmFhlHHOaBvRsOnPXhk8YoWZPDt+yznDPlgydLCgbWuGn9M/72CogA5t7PneOQsZooqs/U+YW4Cl47qGoKqjwvYlIutjqe6tsc3KE8ALqnps1TcSgjAkIoOw9OwJPnA6fI+Au04HU+nwxGV3oqdK5Jg0YJn9wRc1ksj5oAB9O1iSZB/l0N8FzKWN9E1FuLUMNphHYePZdMwYSMMTK5GaZN/8xYMGodCneckSHzgBBhVgrw9pn98Ml69HbtxDGqHQqHSo0NAu5CWmAzCgwybdRY0MyHoseUb/GvepyY6wUCmIiOqAPskGzuI+C1T+7bXcdGW/9z5Zu2Grtf7aETZwAmzTjwLA60ui/b6XdTTww1/fMmhJe19uPfqABf37LGHlRgqzC9HmdLG1c9n3+jjxg/6wa/dX1DLSLgtVfQvLWj6G1Zm+CgE3YKpa8x8mQ/Zn4KSSx5uww+bVg7Tj3jMd28wp81CWovRBgelB2yjbrvISiqJsV087VdpvRFns/jUm0UeFfq93n+vstPosM4bN3RjeSKU/9AT7/ejUCuMZitKB8llW96TCuDZ29+mtrMdSZmxT3dg2znosef6H8oa7T5v2eA5dmdMHKacNVdBRqY1pHPMZx7/LPodu434r80D719HH54xjTqT3og+7MdxU1N5DjEMZx5cijGWSe+8KPfsqih/d/02P5V6bat3RQV4bhG0rWC79LVX9ZcnTOwNTVfXDQJHacAa41MDlLixfRTvBJLKqwZ99JlLeoaYocyNGS0+zdq5TsCArkox2mVNvIEhUtZNAKDHLLasPqjlluGp2pgJB4I0H0mSN90b4GuJyIiVPMWcE9J0D42RGimP6EFiutHxDhL502YB9S+tT3PoAkwIMtft0JKXd6UlS8mL6e0YYiz+DLUca6oofXVhIHfFDRFZy1zWA/yFgJjVI2vZrmJXMjkWlKf5D7R+0Iw9VvQ0LdDMY5/ZxhyEod4Zpp0e76dh6nYht6U9IK5CpFeLfixXi18zDJwivVJOYCXQNs9xS5JLhihGcIFuFqB5Q9ElgBrBFVsYDvQGKPgW8D2xe7CMrwuXA2sxZo80lFL+a4rC8TF+pw8ojwBDgV6qdLNWo8CUi2wR9Qw2S0sPuum2EsXg7th4yfd3ih/3+ZwCHu8ej4l4ReRMjKx2jqoF0iYOwbZ9WVVHV0epKU1T1Effcwaoa2sBZVW9T1VG6TBvox9U00kQ8Fkp+dZ2IIpCa6PYdwEDSla47CivEr8fiqC5olzn15kI3x4Q44c1yH9KeZrml45mFkde+IMheCY0nNBR9BjMV2CRlU4EgOMldszQe6A3wtX43AIiwLaYgNZ81nj7XPVe5lCJ+9KhrFOEoLLj8Q7Vz3qsHXqavh/xgFTyF5Q5P0p62gH/HgttGEcZS1Y6tM36oNrhrPYETVd1OVTdQ1Y1V9Yna7zDkQWHIu3jUbaGkXbZeXyleNcaMo7FAloimbjmoqaD8CVhBkIPS6rcM/KQS+66qxCw3aDA81F0vi3s8dSJ1U4EgUPQ+MjYe6A1Q9EHMl3I7eWrbL9K1i9qdvgvud/9dSSA+CXSTBhRhBDABy4LVZX1WBP8ZA8n0de7E4WnVnqbwzu5sNhHszors2EaFfW+ayDx4ut2cF3mPw0LJ23oltfv0otvDBDm81utjxI/IOE2pXebU25Uxp46MErPcHTVgOYWi72N1cKMEqebEkCo0O1OBIPgZ2RsP9Ab8FBCOv/J5LDV6tSpPFUnmpZZV0FadjqVG13dHG09jRxtHqTIzpj4+wTYx69Z6rQjb4HfisGuVl04HBsj4SHXqVS3g8oDMg6dDbBZK2t3WK7YJvgT+vO3cWi+MC0VpylUEiXIIHxeScH2ZhBUtnafaefYSFEe469UxjicOpG4qEASK3ojt7ncTaqvW/LdC0Vu5smUeL2+6Ag0d01UpNkgIK5kXB/4FrAL8GivLeEzV0soxopv8YDmEJCm96K47RRhLvXZsiSMXwVO7i7zHYaHkJ/hEmIVqottPACsL8t0k+qgAL5d3eYp9doN2mVN/PQ7XFxF+BmwG/F01/JluXhmu2t1UIBbd0BjhjQcSI3/1dogwkhOuGEjTMnhjg9dKnn4Hk8xL0/VoGu/t2Bf0CExapqriUES8jcn0Vfu+epLSNQFISk+6axS7s9oyfRkjF8HTITYLJe2y9fpGgrZePmV7aULt94Ci04AXgC8KEtdZRxSMw747dS1ORNgQM7peAoytoym/4MpbGYY3FQhNqksYl2Mpt8yMB/IMlxqdgjY0cPUxi1jvnd0FGVj0kufdNb2JfeFyL3PHH/z/7apKewK9eCnAslKcJSSlIE5W/hw1yqLWn/MGZv+mjdwETzWR98eIz0LJr64TmbgUnQ78FRghSLW8f9zwu88s7cquxsypv1MyqQSGm6AmYn+j/TWYWW5ZKPo0xnDdNE8MV83AVCAIFM2L8UBecS2WGn2UI647n5661t6tJL1z9qve3Yn2QbD+PX9X7QxyceMRdx1b+kQJSWm7II1pq87DFsah7c6i2LGljdwETwcfGOKwUPK2XnsnuLr2452QUPs94NKUbwDrJy1YUGUMigkZ1COWfzdmg3SXKvfXenEA5JLhSjamAkEwDlhMhsYDeYQIO2JZpTlYacgFWBH+94vuk08pbpbSmE5k0Qrrs8JU2G/fJHacHl7YoFuJSBmS0kch2vwnsGLE8WRxthwYuQqeis4E/oJZKNWV0y9ZXScycSn6JlZcvLYgcTqx10Ie0pTnYULK3w87+YqwN7A3Ju0Yi1FzjhmuF2GT7wGC5EaL1/0+rgX6kD+hiUwgwkCMSa+41Ki7T9dg9Yy/ANBWbQcWYI4eSY9pLetX2jlkzELgi0n15UpE5tFTJ9bvxKOQlN4EGmW8RLlXge3YskCugqeD383FkU7ytl4/THB17dmeqZEvnArKe8BmCQoW1BpDj0klCERYAbgVq5UdW6JKUi9yx3B19+kq7D5dkvFwSnEKVp5wdM78UbPCY1jJ3KUlqdHTMB/ZI4vu00zKSObFCbfjm4xtAA5mUNuHwLCEyzc+oKhEpGQnHmVD81d3jWJpGMiOLSvkLngqOhV4GVhTkCjSTsVtKXY22AxcHMPwyvXxN4x9N1qQDZPoowKOd9csA8Xp9JxUamEypg98hipT4xxMCcN1hTjbrhM/w85+DhfCaYcmCTV/1N9hZUJnZjycTCHCSZgIwVTVzkUY0KlrfRPmIzvOPfwaRgZLMnX7v5ji1oOq3IaxyoVoqj1B4UvFti63E4/Qnj9HHRPhvY+6a5RSl8SRu+Dp4HdzcZBi/KrxqARX1555llogU/RhTIx5u6zSlNrdnHpcrdc7s9wNgedVEzMv9wzX3DBv3eR7A7ZoOCfj4ZQic+OBrNGVGmUplSf5EzACy0nuPnnJvEQYtyJ8E/g+VjXgzZmfctckd2KT3PUbdO3Ef1kHSeklLPh+OcJ7vWTgphH7ThS5DJ6KvoCJvG9Ur8i7m+BvwSb41hiGV66Px7F0x1aCjEqijwrwikxZqsUcj02+J1WbfEXYHNupLgR2SGowJQzXSEzghHASNvken6cg5Wqsf4/V7mVpPJAJOstSbC48SJW2cq9zBg13A4OwQPqgeyp2mT4RhgL3YEFnpyLFLV++UVdGrgasj1cO3B/7bG+rRtfxdjJ9nxNNps+fLY+K2n+SyGXwdPC7uTgCg19dV53g64QX3U5z93krxkjbNas0pZtU7qFrUukBERqxVawAe6uyIOFheYZrblSHMjQVCIIjyNh4IEP8DlPueUCVO2q89sfYfTpTW3UGNqdskMCYJmKL/XOLFbe0Vacl2KfvYxYLVljGY5esjZ2HBypLqYEZwMCIMn1l7djygNwGT2ehNB34ar0WSiW2XsfXeHnUPu7F2KM7CrJyEn1UgE9TZqkWcyRuUqnw/APAMOAm1c4auSSRS4YrGZgKBIEzHvgz2RsPpAoR9gAOwFKj/1Pr9c5H9hHMR/ZQEiilEOEsLE35d9WymbJ/Y8E+EYgg/P5/G1i0PMDBlXbiIfGSu0YRdvFny2UdVrJEboOngxd5j8NCydt6nRVDW5XgRbdTO29T9FdYmnKvrNKUJebUhxY/V2SW+yFdLihJjyeXDNcMTQWCwOs1X5D1QNKAS43ehX3mHYKaEdBl0HA+VkrRN65SCqe4NY7qilvTgH4yPrHf+i1M272BnU6HcfLn2i8PBC/TF8buzCO3Mn25Dp4lIu91rbaKbL2WF+TgGIZXro8bMBueb6Usun0xlqZMTayhDPzk2+nLKsIqdJnlbhdzWUot5JLhStd9Oi/rgRRD0Y8wQsqqGRsPpIVJOKKbKqXatRWh6CdYWvULrNKpirVbvYNxRxuTqK245aUBowSiWmPYAziQFaYuYuvLoMg/tE54xm0UA3F/zvu1mMYSG3IdPB1OJz4XjzRsvS7A7us1CfZRiguxNOWBWanFONeXSZg5tU+BTcF2fyeoMj3l8XRgGYu+xKCXHBeKTAVWEmS/rMdTAr8bzsx4IA2IcDaWBnxFNRL72e7TGLZw/x+HTN9dmBLPnTUUtx53111i6LMT3XbiW155LA0K9elNd0JbdTbGZA5dk15sxxbHWOJE7oOnojfRZaFUl8h7ka3XFwQJargcFpdiotv7pnXe5tKUE8g+TekFLn4pwhXAWsAU1cx2xCdiDNcT8sRwJV4Zytig6DuYjVTWxgOJwaVGWzFpwrFR2nA+ss+xFp7bUJdMpgjfxc5cPwG+V+PlvvYx7vpST1I6hy1+dZN7LM4SkXpl+nJn3p774OlwLjbWOOo+/cR1WQxt9YALZJcBTaQrun0Gtro7Iqs0Zac5tTKSHZ84DpP6SlM0v3Q8uWS4KjqDbEwFgsDvPrM0HkgEJanR/VSZU0dzh9MENKHUUUrhFLd+h/ExxtQ62tBWXYJlmeoiUZaMwZOUXlVlnJPpm0+8JSJTgSYZH6kmfRp2tpwbcwXoPcHTi7zXbaFUZOs1SpCk6g3HYyvbQ9IKZC5N+VsSrGcNhA9XtRKjq48B+KYqSzIbiyGXDFcyMBUIAkVfxvRIMzMeSBD3YLuf21V5oJ6GFO/VFL0AACAASURBVH0NeI2hCPVJ5k3G9IVPU+WdgO/5GGOv140SklJxtuEDYEiMJSJepi+KwEP6FnAB0CuCZwIWSn7iSuRc0gWy32A/ijTZi8djacoTM0tTjvjoYl7fCNZ9G1SyDpy5ZbhmaCoQBEe7a25UmuqFCPsBe2HpwwNjavYozDZagNERxnQhprj1N9VQKfw3gAYZX58caBmSUvFO3JeIRCH5lENFu7MA8Knq9CzgAqBXBE8Hv5ur20KpyNZrPUGiGLUGwU+wIuOWtAKZS1PehQkWnFjj5bHDmeXuwHFXfIR94ixrT4vhGa7nZj2QEqRuKhAEik4G/kGGxgNxwqVG/xfLQGwfF+tb0WdYlX8BsAIHhxzT5phC2ELCB4W4pAH9TrwcSSnuEpHniS7T50tdcpUJ6TXB0+0+f018FkqJ2no5WcBbMW3INFOGPk2ZqtC3CCPxZrmTdtwSc33ZRJDE1FCCoojhurIg3816PB7OVOBt0jcVCII8GA/EhSnYvHFqiNRoMAx1IvIDCSwuIUIzXYpb34mguOV3cZHVf4p24pVISr5EJJasiJPpm0tPu7Mg7/XnvInZsUVBrwmeDj8lJgulIluvTQVZL47BlUELRrP+aULt94ATLHgYS1MelkafRfqgjcCRzizX66RmqbtbDJ+yzY1ogkOLu+YqSCn6IHa2lpnxQBwQ4eeYnN1zqvH/7XW03oQAcxkmBPas/AN2Zvlb1c6UZPA+W3UqtkCOtDAt2YmXJSlpq87EjoDiLBGZDgyS8ZF4IGnYsYVCrwqeRSLv/YlHKcivrhOZ4J3o9v3AUEGOqfX6GNFDsCBheLPcR1VNDarInHqbEJNKYlB0OkZaWCNPDNcMTQWCwC/6euXZpwhfwT7DQpK0tWpgLvOAAPOICAdhogofAvUsbv+N2ZVFgd+J1yIpxS0/+LK7RrEnS8OOLRR6VfB08Lu5ui2Uimy9tk1wdX0kFsjGJdR+DzgVlCexNOXeSfZVYpZbqkjifRHzsvvMJcOVDEwFgqDIeODrOfNHrQmXGn2U6KnR4OjgdTqApewsyPAqY1oF+y3Eobj1HtBfxoerPijaiQchKb0D9JHx9dXXF2GSu0ZRR0rDji0UMg+eInKAiEwXkYK7HlDt9U7k/T5M5D0OCyVv65XIxKXoZ9iPeEWh+meLGZ2CBUl1UMsst8icuuqkkhbyynDN0FQgCMZjAejXWQ8kJB7EUqM3RkmNhsQLALxbU9f6KUzI5PgYFLdedNevB31DyU48CEkp7hIRf466Zeh33uEoiO9wQZA4kQYyDZ7uBlzHiozkeAQYCVwX4MZ4F4+6LZSKVte7JLi69udtFyfUfg+4NOWzWJpy54S68Wa5l1Yxy82bOXUuGa50mQrkZZcOgKITMKLHd3Lmj1oRIhyKBZWZdC0ik4RJ5k1jCbCH0LOYX4SrgDUxxa04rPIec9dAv+2IO3HvgBRLiYi26meYkMvaYd4nIgcwlfMoACuGihOJQlTT1Oou6VxkOjByrU9g2nD4y72wwWwQQYcOYG619359LAMfXZWm659l4WHvd9/xhMWSBvosaqR/U4H2QR0srKetSpjXxKAOoXHgMhY0K8uS6KMUHdAwr5nBDUphyDJ3KhMTLnrglL6n3XlRv3W+8E7h7UvXq9r20H0YOr8ZPrubOcul8smrY609GPzeIBpeeYR5G8+hkPV4PD5vZgggQ9qZk3lKqAiLGui7pJF+zQWWDuxgUdbjqYZCQWTuoiFDAAb3nzu3sSH5CW5hAQa+x9BN+1J4ck0amgu0DyyaRya9NaZxh/MmDRrUdz6f/HqlOQP6LK67T1WYU2Boo9AxuIH5tV5/zn1nDWy995ymaw45aumPd7420N9wcQH6v8fQ0X3oeHVk7T6CYPX3GfxJBw3tawdXd5qzkCGqCH3hH+2wWddyaIaqjopjXFEQ6jcqIiNEZKKIvCUib4jI8UXPHSsib7vHg+6w1gA44Qn7n+Mc8VqVmmeZ1z/HAhR+tjF1KQ4B9C2wFGBZA81J/dIGLLMf06LG+scbFI1QaFAKBaFhmRVEx4I3P1qv4Yy7LuzXp3Epk88aUzMon/wWiwsCR381vc9eDROetwDwo60YkPVYitGvw9SYFjXmbFwFG1d7A32yW2oHw/zFgwYB9O+zaFEagRNgQAP0F5jebvNWe9E8snBpP/a45KFBAA+cvMf8OAIn0Mn2KGjtOfzpt7dpPvf3ZzXttfl9hSN2/E3gxU+/BhgoMGNZfBnKtftQWAZ8GGIR3RkPlkFJyA1d9gIgIjeKyKci8nrRY8uLyGMi8q671j7nVdXA/zBx3s3cfw/GDpQ3AHbAUhd93XMrBWxvOnZepsxAKaCMRIHpgd6vTEJRlD3DfI4KbZ3h2rqp3raq9PGi62O7pPoo0+dWrs9XYmkPFdBZtvbV/QOOQVAWoLSj9h3J+p/7xinKqKzHUnKf5uXpPhWN7Rfufl2R9VgqjhGd4L6Xk1LvexzvMo4OlAvdfZrgxjTJjemqBPqcxjg6atyTVUCXgi4DHRWhj7cYR4FxlqWMYcznMA5lHIcH/7sWxYnu/6ZH+54wBhPWf73osYuB09x/nwZcVKudUCsKVZ2lqi+5/54HvAWshgkO/FxVl7jnPg3Y5Bng0hsnY9n439LhHg8Cv4GPw0LJ23odkKAbij9vS010W9FnMdPejWMSLPgdRl//gyp3BByDN6duwlxn8oDcMVzdfcrCVCAITqPLeCA3tXYeImwHHINpYAcm0cSI14EGLuQ2TCf2R9LUfgymF/ueaizkxlK8icn0VatTr5ek5GX64nJx8eeoY0O8pytOdGEhweNEN6jqFKzUpxjfBm52/30zJiBRFZG34yIyClPifw7zadtORJ4TkckiEkgPUVVvw8g0M7gH5V8UGEsjyhOB3t8l8l63hZKbuBK19VL0RWzBsaEgGyfRRwXEUojvzHIPwAhWYUtgvDn1j/JgTq35ZbimbioQBGp6zTdhxgO58UcFEKEvJgwCsLtmY0ZgpRRL2R24gRlr9KXQcBWWbIysBBSozwps2CKS0mSNTlKKSwrQwwvEB57/usUJ23HOAA53j8eFlVV1lutvFrBSrTdECp4iMgi4FzhBVediK+VhmJTTKcBdIsFWp6p6m6qOUtUGVuQol90Ow8z0u884dnPe1uvwBCcuL5aQGqtS0Ucx5uHWUQULupnlwo6qdIQcQwdwA2ZOfV6UMSQAz3DNCxM4S1OBIDiBrI0HyuPP2DHSlao8ndEYfBnG13j6ayex7VOgDYIUDldlVkJ9+gVDD9EBEbbFFs317sQfdNet62ijE06mbw4Qqq6+OE64a5yBMxJCB08RacYC562qep97+EPgPjX8DRypOCQUvQ74HPiWIEMDvseLvNdtoaRdtl59SWh1rehETHT7q4KslUQfFXCyu0bdfU7Cdh3jVHktYhsnYZPvsXmYfBW9AZhNiO9bSkjdVCAI1Gqs7yYj44FyEKE4NXp8rdcnBW3Vd7B5b0O2e/pqPlwDdv0zFBoTy2poq77Z2WcR3E7c69/WZQuorToDE3WIU6Pa253lJrMCfCIiqwC4a82jx7BsW8F2D2+panHx/f24WiARWQdbNf8rTNtFuMCNK0yaIU6Rd2/rdUKCE9cJ7praeZuid2NfiJ3CpilFOBvYBHhFlXPqGEOxOXVqer81EOX7lig0O1OBIPgxGRgPlIMIo7Cz4XaSS42Gwb95d5fVgcOgMIcH9uzAzoqTxGx6yvT5nfgE1c7Ubj2IW6bvVXfdJsY268UD0CnufxCmP1wVYXeeXwN+AOwoIq+4f7sDNwJfctTfO4CD1NGWIuASYAGwX1DijprI+/vEYKGkXbZeA+narcUKRR8AZgFjBFvtpIQzsTRlYIEAZ5bbip3DjY1hDN71JelJJSguBeYT4vuWElI3FQgCNeOBR0jReKAcSswIjkgwNRoci4e8z12/72Ps2oad6dv+ILCcIEfUfG90vA8MkPH23S3ZicdFUnoX6Cvje4o/RMREd40i01c3ROR27Ox1XRH5UEQOA34O7CIi7wK7uP+virBs26dVVVR1tKpu4v49oqpLVfX7qrqRqm6mqk/Wbq1CH0bcuQI7R70sxFuPc9c4dnN+go/E5gqI07FAlubu8zpspVpWBaUUJWa5+6kGL2yuMgZvTp30pBJ0PLlkuGp2pgJB8CPSNR4oh+uxc7M/qXJThuPowrUvjKR9IKz23B9UeQFj1yftI/uSu+5atBOPm6T0grvGpSvrz1EzkchU1e+p6iqq2qyqq6vqDar6marupKpru2spG7cH8iRkUoyzMWbmoUGJO2oi77FYKGl3W6/Da70+Yh83A58B3xBiE14Ogguxv/s1AV7rzXJvV+WBGMfgXV/yQhzKJcOVDEwFgkDNeGASKRgPlIMIuwKHYgvBPdPuvxxE+Amz11qZFd+Ew7f+GDp9ZB8HVhJkv4S6Npm+guxM1048bpKS1waOS6avDUu1rxtHe1khl8HTEXeux4g7YVa3cVoo+Qk+yVXjOdjfIE3RbZ8W379amrLILPefwIFxDkC7zKmHJziphBlPLhmuaqYCf8ZMBWL9G8SAxI0HysGZEfyeCmYEWUCEdYCLgKUcvD1AMXHRL75rOZhEhdVN/uWn+2M78T8nsBN/3F3rImSW4FMClIPkGbkMng4nY6uTwMxMjdFCSbvben23nraq4CqMSr63EM5aKCpK0uJlJ74Ss9ztVeuyTqoEP/nmxZw6lwxXuoQ1Lsp0FCVQ9H3gbyRrPFAOT2JEqotdajRTuLPXyUADyA8Z9K9FWG0lAIrOAJ4BRggS+xmftuoC2tZdypSzVsIqFfZIoI92TJRgVIzNvg00y/hc1ViHQm6DpyPu3EZ4xuE4QpJiqiDRCd4FskuwVMtVSfRRAT4tfliFNKU3yz1Vq5vlRoabVP4KrJ7EpBJhPLlkuCo6EyuGX02Q3HgZOqTqjyrCKcAWwJuquSGc3YoxUe9X5U7s6Gj5ktf43Wfsv3ERBnL3Xc00LgHYJcGd+ExgmIyPbWH5rLvm7TsdGLkNng7HEpJxqOjVWBHuXvVaKGl3W69d62mrCs4FFgE/FKQ5oT66waUpr6NMWlyEi7CarudUE98V+sk3zYVDNeSS4UrXfcoNoQlA0dcw+bZ1Bdkiyb5EWA9jQC6ljChAFhBhT+B7WLZrH/fwG5RI5qn5yL4CrCVI3OUZT/DpaGHPH8E4qUlyqQOvY5uS0TG152X6doipvdSR6+DpmJl/wBiHP671+iL8AtvNxbEiTnSCd7vPX2GygDXp0THCpyk70+LOLPcULEWzU9ID0C5z6iQmlSjjySXDVdF3MFblmoLkoZ6xGEe5a2L+qC41Ogmbr76vymdJ9RUUTnHrTuxoY2yR4pZXOPpWyVuOdNfY+A1uJ74lq/7tUzb4PSRLnvKfK66d4jPumqZMaazIdfB0OAojB4RR/LkACwAH1rubU/QN4O/AOoIkRa32ottHp3XeVpIWP9WZ5T6GrS6/rcHMcuOAP9NLkzRVDblkuJKBqUAQKPoMMA3YJCbjgXK4HVgZuE+VuxPqIywm4XR+VXmj6HEvmbdt8YsV/Rt2zvdlQb5cb+eOpGQ78bHjPON52ypvqReebR/LIldbtQMzWY9kK5YH5D54OmbmYxgzM5BzuNvNXUN8Iu9+1ZjI6tqdt92C/RjPSqKPCvBp8dNwtZfADaqd7LrEEfekEsN4PsOo+SsG/b6lgQxNBYLAF+PHrtcswl7AfkAbXanRTCHCOCooblWSzHM42l3ruk/dSUr8kHX++BdswZfY70db9X3il+mbCQyN8Rw1VeQ+eDr4VXdQk22I0UKpyNZrtCDlfhRxwAeyn6S4+7S0+A2HDAX9OqY5mUhdaw1415fUxPJrwN+DMN+3NOCPLnJjowag6J8wfettohoPlIMIwzDFsgKwQ0Ks71AQ4csY4a6a4tZszKqxGxR9EnME2VKQL9UxjG4kJSe2PhtYvY42g+DfmKdzXPAyfbGIzqeNXhE8HTPzL4RgHBaJvMdloRSLrVclONHtezFNyvQErluuPJujroXGDoAxWUxQij6OBe56J5W4xjMTO+PJFcNV0cmYqcBXUjYVCIKfuGucv4+JGKnt7JLUaCZwilsTsaONfasobr0P9PeSeSXwPrKRFooVSEpg34sBFfqMC+8C/WR8fUTMIkxy18zZ9lHQK4KnQxTG4YnEZKFUZOu1lSCj6mmrCo4ibdHtq4/9A8ua4MrjQCXLFWBdk0oC8LqtuWK4koGpQBAoeieWWt1JkOH1tudSoxsDL6tmKgNYjHuBFYDbVDsl5srB15/2sAJT9D5MeGSHCAYNlUhK0CXTF4sKUAX4zxWXt6e3cfv/nWeSUHQqRvdeU5BAB+NuN3cX8Vko1WvrVRWKzgb+CKwgyEG1Xl8vRJgArEm/Rc9y9K8gORWUmigypw49qSQ0nlwyXDM0FQgCbzxQ75nexnSlRusyuY8LIuwPfBsLfN+v8fIn3HWXCs97H9mw92kS5UlKxX0mVVIHXUpDsTDxtVVnYZub9Wq9No/oNcHTwZ9FhWFmepH3undzRbZeOyY4wXtZwAsTah8AEbbDjLnnsXjAWCwtvroguyXZbw34SSUvu6pcMlyBU8nXfQJA0d9gNdaBjAfKwaVGn6ArNTovxiFGggjDgZsJrrjlaxjLytkpeiN2fvjNoD6y1UhKDt6/86tB2osIr3G7WYxt9lqZvl4VPBV9AWNmBmYcloi8x2Gh5FfXcejn9oCiszCFn1UE2SuJPpxZrqfU7+7McjMXLCgyp949D+bUeWW4KnoL2ZgKBEEY44FyuA9Ljd5aIzWaJiYTQnFLW3UBtmuudi59HgHvU8lOfGyFPudhqmGJnYVrqy7BSgDj5CW8C/SR8fXJqWaBXhU8HaLQvf1uru6zkyJbr28lOMEnLbrtzXKvVLXi5yhp8YTgJ5W87Pa8WEJezmI9sjAVCIKLsQm2qvFAObjU6J5YWvoHCYwtNJzi1vrAsyEVt2bRU6avGJdjPrL7VtO1LrMTr2YLOAtzQUoSHwNxLtiec9dSUYnco9cFT0f3ng58NSjj0Im8TyQ+CyW/ur46hrZ6QNFpwPPAFwWJVb6qxCy3lNXr0+JZBq7LsEnlu2mJ5VeDohMxJmPg71tKuAorMk/NVCAIXI31lVQxHiiHktRoJqzvUoiwBV2KW2HF798AGmV8+e+Mu0+/xO7T5VXa8TvxWiQlsCxJo4yXUSHHGgavY/KDcZXs+RT32JjaSw29Lng6ePJPmDMfn7KNYzfnbb32C7u6DgEfyKKmv3qgyCy3nTJmuS4tPhXYKKs0ZYk5dbVJJU3kjuHq7tOlpG8qEARnUt14oByewlKjP1FlWmIjCwinuPUotuPbI4Li1l/ctZrLyTgsFXtwuftUtBMPQlICM1qAZHdxT8XcxxR33TSm9lJDrwyeit6PfaECMw6dyPtzxGChVGLrdVk9bVXp41Vs9bqeIHX76DlVEm+We0QVs1yfpkzkTDcgvDl12UklbeSY4Zq6qUAQuBrrG7AazZqG5yJcghkjP6OazO8pAh4ChgLXqfJkhPeXlekrhptHrsUWDd10rSOQlPyYIVnhfN/H1+JozMn0zSNeu7NU0CuDp8PphKd7+91nHILx3tbr0AQneC+6Hcd52w2YWe6fqpnlFqXFt8hKsKDEnDpNsfxq8N+3vO0+valA3tSQTsLKEI6rVmPtUqMnYZmcNH1BK0KEQ7GSjw/okuYMBW3V17DAt1GNl56CZYJKda29LeApIWwBX8G4HXE5n/SAtuo7VJYfjIqZwJDeJtPXa4OnojdhdO/dgjIOnch7LBZKJbZeF9TTVpU+ngbeAzYVJHItlAjfAA7BiE5BnBeipMXjhnd9OSYP5tSK3kw+Ga5ehvKoPNwnD2c8cAdmPFDW4q0kNbqnKovSG2F5iLAathvsoP6z18+pIZnndK1/h92nM9wYfoHVPv5VNfgxk5Ppq9lnDPg3sGqM7b2GfQeSLLOJHb0ieIrIASIyXUQK7uoFuz0zMwzj0NfuxSHy7if4lgQnLk/qiSrnNRBTRlECmuUWpcXHZpWmLDKn7o+bVHKA3DFc3X26GSueb814OKU4GgtClczFH8ZSo7+JmBpNAlOw45gWVWbU2VZQybxO32K3Ez8Z24lHESOYDgyU8Ymm8adhMn3xENVed+fJE3m2ZH7PNXIfPN2NvA4Yia1ORgLXuccvx/LlgRmHRSLvdVsoldh6VZog6oKiDwMfAdsKMiJCE09i47tIlRdDvC9KWjxu5M2c+ipCft9SwvHYfTopZ7vPeZhbz1BBjip+ToTDMAWeGXQdT2QKEa7GahgnqsayQPK/t6qSec5H9vd0NAxhtQ8nUd9O/GV3TdJk2n+uugVVROQAHmV/AEb0mN9zDVHNnBFeFSIyHRh52Z3w6BZw22P+cXToAOYuaqDfkkb6NhdYOrAj2JetXWha0MTARqVj8DLm1zO+AjC3maEAy7VXrcGKjKVC88ImBjQpywYtC876W9zet+/ipf36NTQUCkP6zwut1PJ5M0MAGdLOnKxWWfMbGbCsgeZ+HSzqV2BpRsPoxFlfpu95X6bfQe+z9KZns08zeixoZEC73afF/QosyXo8HgWQuc0MEdCh7cwFKBRE5i4aMgRgcP+5cxsbsp+E2juaGhcsHjgIUYb2nzsnjiXIUqV5YYEBfYSlAxqqf1cKIK0Pnj7kvDsu4NpDD196xE7XR/puLVGaF1mfSwY0sDjayKvj7nk07ftPBh4+hCW/Wbm+PuYsZIgqQj/4x2LY7IjOp2ao6qh6x5okcr/zxJml3roF/HEU3D/KHlRFAPoV7I/X3kCfoL/AZmWZKNohNHbYKi8yGoCmgqVClzTQp562KqGP0i6gy4SmQsDxdhQaGhYv7dcPYFC/+ZEWCP06bBJe1MiAKO+PAwPcguj/2jvPKDmKqw0/d3eVtQokkYQEtgmSTc45mWiyCRbmA4PJOdkYDFphMDbBgE3GCGGSCSLnDMIkGxEkITIrJKFAVE67c78ft3pnNJo8HUa79ZzTp6XZnq47NT1VXdW33ndBPV2TiiGToWNY0LUF7hpI5/k19Ovplq6nKF01yqYOtEFpUZCF9oyTWfN79gTo1nnevFroOFVhzoIePQF6dpkzO6yxe4M90qHVMtwL8p8Pt2q45N4L2X/Luzlsp1taKi2zU7rMhkrPUYzde9AC8M6C6ssI2nGU7N6o9k2yVbWmN2wOXxmAkkJpRrGqbm47RrkSRVGuKPm8ysHuPc9WHaOyvIvu68jqQTnexXt/8TpTAZ1qzYIeWEWZgjITpQWlW2LXgPKU++yHJRVDVjxXlHu9xRTXYy6uw5OOJSuuAS6uiaDXuevy+aTjaosPfdnFdHXo525iPk1MLVL+KqCLqF/Uwnd9UiiTqyxzAU1MibTOmphLU/XtXVv7vixKQ1vbvlj7XqtbDd075+VcYC4TcKs0gV2Yz+JJJL/D7riOL/WZj5qF0nRCsFBS9GvgWWA5IZq5ekWvx0S39xWK+undDfQDHlDlvirKDFRQ6knWmisQjKiVZStBhmv28oKkCWQoa6WegDY/3td4adtVQY/HlJHCsrWqChFOwtZFfqpLKm6FQSmSeZak1NpwEn1/GAWsLEghcYViTC2hzGr5isLyg6Vi7fu32MImYy61kySYl5rvPFX1LqxRmMBvXdr4PXzvXrdjLOPwdiwz8/wyTn8+4SXFBHq0Ua63uxTryPKuUxVhX+BgzFvxl/mOK4NAsODwpBbiq5lTh9GohBVPcL11pbzrLVI0bSqwYlSmAhXz9gYn84tgfT27qyb/XNYpbl2F3XhHJSxQUDIvR5JScKNYjbrWeKBBhlWUYFgq4zCZvqrsxBZr3+3GbwJwdGb7XqtE0nmKSH8ReVFExovIOBE51b3eJCKTReRdt5V096mqd6nqQB2rdQjv04eVcqzTDDIzzypj9HkTti6qYguljHNNxCS5VhFkz2rOVYBLsLuyQ3PJAorQF1tblwJ2UK1eH9SNPm/AFmxHapNWhODmpFYk+4LlBSVfbzFxpNvXilKPsfHoq5jTCKddBSqJ37Q7xa1R2M3o0ZpfcataApm+JdZXi7AdtpxnJi5zVc1H9m1gDUEq9TJ9w+2jlOl7Nawy2tp31Tq3r6jjFJHhIjJdRMZmvHag64NSIrJxtbFmEtVF3AKcqarrAJsDJ4q0LQu5UlXXd9sT+U+Rl0DxY7F1mmrG1w9gbiEnl3G+P1OdhVImQQMfyRSn68j+gSnK5HJ4eBETbbhAlzTLrYZgWjyxaUpNm1NX06iEGc884H7seotiuq8iFP0cMxUYGLapQKWIcAqwDV3nTuTKM6A2HHNuwcQEnlTltgjLCdq4xbSkRehGWuoueyQejD4rNZ4Izhvl76So/GACjAB2y3ptLLA/aQ3d0Iik81TVKao62v17FjaNsEoo5y68TvNYbNR1QRmnDETey7ZQyhFbHLZe52GygEdnygI6s9z1gHdUq7deyyRrWrxqU/EqCBLZI3GzqYDjCcloPWRCNxWoFBHWwJ6bL2J+900wP96fCvKzBGPKVNyK+jFAIJmX/XmfBnpitoCvZf5B0XeADzAf2UoE098mepm+Dwhfpq8qVPUVTP0o87XxqvpRFOVFPn0iIgMxxfzAt+0kEXnfDbErlTk7xe0Xk49T9HvsolxWkMNLOZEbzQUi72E4rgQNVyQqNGqygMOxEeYwWMIsN6q7zbKnxcNGFzenTtyFwV1vT1LG9RYHuripQKhTVeWQNTV6lCrTsOsIEpJ+FKERm6EKFLdaoywvl2Re20i8cJJS4FtctkGDK3MmpmUdJd8T0qBoaSTSzlNEemLScKep6kxsuuZHwPpYFtoVlZxX0acwMeEtBBmQ9ecg47Cc53OByHs5Fkr5YgtsvQZHaOt1Gm6oEgAAIABJREFUOjY1fpoMGpdtllu2GEIpZEyL9yLtvJIEx7t9rZhTV3K9xUGg2pOkO86tmAbq46rcDqDoc5jgelLGA89jMyiXaHmKW9XQjJPMc0lKNhIvkKSk6MuYvN/GFfrIfgH0lGGRuhJ9BnQrQX6wXRJZ5ykinbCO805VfQBAVaepaquqprDGrxpx9rPdPnv0ORmb316p1IxDN5r7JzaaC2PKM+hcImng1WQB7wF6AO9jZrl3anGz3GoJpsWbIi4nLxmNyka1YE6dkeFa8vUWBxqSqUCliLA7cDg2jbZP1p8TMR4Q4feY+Pg4Vc6LsejRALR02oHykpSCUektFZT5rttH+dwzuPnYNcIyapaosm0F+8LHq+rfMl7PFBnfD3uYWxFF1mkGiTvlTMOeid0NnlzttKSmbb02ibCBP5E7hqQYP2gQtubqsIjKaaOSafGICMypK2lUoqCS6y0OgsS5WEfpbmo0MCPYOXtqVNEHiNl4QIS1seTABUTboeTCRO+fvPpv2PTtE6UkKSn6KPbb3kaQcqdHX3L7KDu2593+5xGWUbNENfLcCmvMd8xalnKpiIwRkfcx4eLTC56lOH8kxzpNRT8F/gesXmrGoS5uofT7KuOCqO+uRTvzmxFCXSs88otrw1iWUiLBNGUkNmyloGlz6koalSji+RTLcC35eosDRZ8EJlG5qUClvIBNjf5ZtU2oPJvzsN9u5NPK7tnrS1h7d6gq30ZdZhaP8/Wa8N4RgyndFjDgHCpbix5k3G5W5vvK4Sm33yjCMkpGRO4GXgfWEpFJInKUiOwnIpOALYDHReTp0ApMWuKoankn5XuUVpTGrNc3cJJgH5RxrkYnRfdDSLFNcbJ9K4X+udEPIaVcfnoKLSz/FUGdv+Tqdu8Ev/fDXAxPJBVDVjzruXjGJx1LVlyHuLieiqU89BwndTemhNi+db/d3hHHdI+Lqai0ZUTlN7LiaKXrNwq6UQXf4TeunvqW9T6T6fsq0s/WxDyamJ5EvSa9Jb5YOQRyrtNUS/ceB6wjSEl3RlrAQqlCIrH1EuFyYC2Q1zjzyheAfoIcGGYZRUhcsEDR2zFz6l1rwZxaF89wrYk7cQBF/42pTe0iyLJRliXCICxnYAGlKfZcjP12I1v36RS3DsLqIM7fSCbPM3UD2Oe3Ka0sSakJq6dyPYinA1VJj5bAFMKR6VvqaA+dZ6F1mpVkZh6DTUteWG1gio7AEiZ2D6uBd2a5Z2CfeWfSHVku0YRI0MWnxZMULAjMqcMwNg+D4IarVjKBAy4g4ilSNzX6Iump0e9LeNuVwGzgoCj8UbMUt7ZXje3RRmYMlqS01oOzWeehukok8xS9Blt6sn8JutaZBDJ9UT5XHofJDyaevBc3S33nqWjedZqKjgI+p4yMQzWR9+eA5QU5JIQQ/4TVc9XrPsUsnZ4hwyxX0WZMjms1QXaptowyCAQLklyI/w8qa1QiQRPOcM2HojdgpgL7RFhP9wArAPerMrLEuBTrQKMyHniJtOLWBxGcvyCLJSntcXKgR12pnN3lWD39vYz3BDJ9UQpBBPKDiWtOx81S33k6Cq3TDAQVyhkNBEIHl1UbGNYozAIOCOHu+nGgN3CTqsvgM4LR5z+qPH/JZEyLD0pqmtI1vldQfqMSJYlkuJbAX7B6Cl2dSYT9sSnRr7Ep0nIYSgTGAyIMwxR2RmvIilsllr9YkhK9Jwc3FNtXeMqLgHnAYWXUUyAN2NFk+mKhXXSeWmCdpqKPY+neJWccqlko/QdYVZDdq4wt09ar4s5NhKOwlPAJpKcHgzLGAe8BawqyeeXRlk0wLZ7kQvw/UX6jEhmaXIZrMf6KmQoMqVaGMhM3NXoXFU6Nut/HjYRoPOAUt87HOuXtwzhnBdyD2QKOdCPxQDKvIllCV0/XYbrWpTo3BapuUYm1oEN1DPbd/zSqMmqWpDOWQsv6UrqgLEKZgyJZfzu03IxDlLXdez4NITZBmYeyAKVT2e8PzHJt65+njM1dvO/GXO+fuXLXTPC7D8ypr0wqhqx4Ys1wLSOuv7i4/hHaOdH3XSbruVXE1QllIcrc7N9uBfHUg37jYtozkXpG93flTwdt+zw08T1NzKqinupdGzKv1HqiiR9oYmakn7eJb2liThJ1neTWLkae0LZO825yrNNU9E7gG8rIONQQRd4VzbT1qsSoeBT2TPdEVSbmKeMN4GNgPUHiFGvOqTMcM4E59XG1YA+mMWa4lklOU4FKEeFCbCT1tmrl637VjAfuIBzjgQcxxa3bVdumFGOjyEi8mSok89Rm2G7DfGSHlvi2CUBjxDJ9XwDdO5pMX7vpPB0nYuLl5+T4WxOWaFNOZmbw7DOMVPqKbL1EuA5YHXhBtej0aOzP2zQ9LZ6YYIFrfINGpSmJGHIwlPKvt0jRHKYClSLCBlhHNw8TPKmWNn/UKmIagiWufIVJAybBy+RPUgpDMu9UTNf6jBLbkffcPspnksHymx0jLKPmaFedpxZYp6notVjG4b6lZhyqibwHFkpVPTfQtK1XV+x5TFGcWe7xWEZpUeNwRZ/BRLe3EGRghaFWwu/cPsnR56lY41tqoxIpil5PmddbTKRNBSqsJxHqsYx0AQ7QEMwIFJ2DjRp7CXJSseNzxNQP83NsBbbJGvHFQsZIPF+SUpDkV3EehZpBw32Yj+xpRQ6HtExfts9lmASfq0Np3LarztNRaJ3mZVjizjU5/paPiq2BclCyrVcRs9xCBHfusXVkGdPiuyY1Talpc+qelNaoxMGllH+9RYoubipwZoWneRhbGH+bKk+GFRv2263UeOBlLJnmLFU+DzGmksgaiW+f57Dg97xJlcWV4yMbmEVUY8JRjCCrNzH7u0RI+qFrJA+wlWdcYsQhWa+LSyhaiNKljPM1u/OtEUJs97pznVLwOHSUSzooOwkGZSomC9gvxjo/0X2u+xL83vs6GbNvk4ohK56KrrcY4mp09fRd2e9FD3PX5aTMZJgQY3vSXUeHlRHTFS6mVxOpT0tS+tbFsHvBY0OSzEN51NXTEUWPbWIhTUyOtA6amE8T05Ko/6S29jjyhDzrNBWtJN0bTNEHwhnNBbZeF+Q7wJnlbg18rFqReH5sotsBmp4W3y+paUpNm1MvI8gRScSQibve/oFdb7EpQBVD7fHGY0BfQY4udnyAmxq9BZs92VY1kqnRYM1ySYl1ImyOTUXPITl3j4ewkfjtWnwkPo1wJPOCGbZSlvfEJdNXS8lxkdMuO0+1dZqvkXudZpCZeUypGYcaooWSFrH1EmENSjDLLVLGLZh7wy8Eaawi3HIJpsVjE2vIQa2ZU4ea4Roiv8Xq6U9lvOcV7EbgDI1oalTNj3cUsLIgBVVrnOLWU9iN4l6qzIsipiIxHIqpBpWapPQhJplXVXKdmo/sS8CKguxfQpmdZJj0q6bMInyAyfQNjLCMmqJddp6Oo9x+sYZcLeNwBJa4U07GYZijuZwNvFMlCcxyf6PKtCrKCATzIxPdzlPmXODXSQkWaNqcupRGJY54QstwDRM1GcrnKdFUQIQrgTWBV1UjV3MKRp/FJPuewBS3blTlxWhDWhI3Er+V8pKUXnf7PUMIoVQf2UAsoVJpwFJ4ze3LsVtbqmm3nacWXqd5GmVmHCo6HBN530OQ3lXGNhlr4FcSZN+MP90KrAw8rsqd1ZSBydbNAQ4OU1GmEFnT4mFIG1bKkW5fK+bUVWe4RkQwZVtwSlmELbHfzGwgcv1kRT8GRlPAeECEozFjhGbSSldxU0mSUjCtu321hSv6OfAWMECQQstEAt/NqsssQJA0tE2EZdQU7bbzdByNAuN5QURSItIsIkPUMjPvpfyMw4sIz8VjsbtGEXbHpn2+A/ap9uSuI7sKE1e4strzlUEwLX5sUh2Fa1T+S/FGJa54wshwDR01U4HXKWAq4KZGgwb/FzFOjQa/jyWMB0To715vIbpnrwUR4QpgLeA/qmVZ872JzTqtG1Ioeespg1fdPjKZPi5kHRT4ml8G7WxkZdUKSWcsRZoBBkP4kBQplHVR7KKdAwxB6V1uxqHLnpyJGWZ3qzo+5b8oyjvr7gk6FzQFukFon9/kvOahzEepj63elRtcJuCFiX33aXPqD5OKISueijNcI45rsKunj3L+HX3OZZFel0Bs41xsG2XF9LmL6ehE6gzd3P1WZ4OW3Q6ELZmHMsbV08YFypxBEzOiqQ+GAHP4Pcq5i7ezSXw/cW3iPny7RESa2ZEBo8+E1Wdgk06ACNq7OzNn19OjpY6Gbq3M65JiYSnnnFdH1wX1dOmcYmH31uruwluE+tkN9GRWT2itp0unBQu6dZ4/v5pzZjO3nm4L6+jcpZUF3VKEeu58KDCjE70Bei9iRlLzlDMbaEwJdT1bmN2gtCYURht7bkePJ1ah4dq3mHvCpyxKOp6AfPW0YFHnzvMWdusmkkr17j6raiGEclkk1M9poGe90trYYr/euQu6dVvY0rlzfX1LS2PXOXNij6mlnu0uern3mC/X5b8XbTx77ZU/Lvu6mpmiMaXU9a5jRhhzM0E7Uqe09moJWrmsMltpTBFemZnMmEsvVWS76fB+C7bCPgXABFUdGG5ptUN7n7ZdjRewScSMC0bV/te9lbkA8+voWuoJu7oOaGEdnau97WhQWmV+F6W1nrq6VCrsjhOgm+vgF9TTJa7bJAE6paxzWFBHYnqX3dz3O7ee0I2WK+HmN5kjCk3r1kY8Ad3T9dQ9eK01JTJvYbduAD27zs7ZIEdNJ6VVlFSrUN8KdYtaGxoWtnTujCg9u8TfcQIMe2Boj9c/2YorDzttQSUdJ0C9JRjRYomBVdOgtNYpqZSrp5xlipXZGlKZmQTt6SadLSsuY8HKamGXVVMkPfSNcsOSCZS6tqmEYGtuO0Z53k15HFDyeZWr3Hsury4+HQSpFF3mKVOXj8wNBWWEi/ec2Oo+PS2eqGAByqfusw9KMo6MeJ5z8RyYdCxZcX3k4hoMKqDNSU6NZsS1N4oyo+co0FluunTzRGJBj3F18kU1AhE0cQRNKE1cEmI97ea+v5xCETRxtCvzovDrxbWzS27NSV47UW/tfeR5LjDXTSEEzHWvBwRLWsrJzDybCkTeM3HLUl4EEW7+7TT6fb2eIGtXcq4SKCSYHwmKzsCMcpcR5Mhix0dIIJafpOdoJkGCR82IJjhOdPt/YsubBgDPqSZr6q3oI8BX7PHk1pj04t9UeSPuOFyS0rWEk6QUuL1sVnVgDkWfwnxktxJkQI5DHgm7zAysnV2c7Ha2/ZF07x31hj3MbsZm4ZvJ8RAb5Q1317ZLyedVhrv3nF9ZXHqvu4u9D2VPd65RkdWDMtKVcXxsda/0w2QCpyZ6DSgT3WcfkGQcGfG8Xu71FlNcE3huR4WUgv4AWrb3bCRx7X//7ZBSVp0wO5HyIxiJRyGZR9pH9ukCZU6Mpo6Kt7PtbUs8gFrYimUc5nlPD5d1O4MyDXzJYZaLMtnFkNPsOoTPuKzryKbHXLdlT4tHEEPBRiWBeMq+3mKJ68tVfkWPWUHnuWnS8agqoGuAttBpgfJVvxTKsgnEcIP7vT4X2jmbmEgTC0OPVZnufufL5yhzchRldtStvU/bloSi44AxwJqCbF7ie+YADwC9SE95FaWAWW5g6xXJNJmi3wLPAMsLsa7BqmRaPFQ0bU79c0Gi1vgsJZ5xmM9iyddbLKw26STm9ITT/6aoTEg6nMUUt4674TZWmiaYqXycMeyA6VHPoAorsRx8RDSSeRdgOXu56ikos0Np0EZFTXaeItJfRF4UkfEiMk5ETs36+1kioiKyXIjFBv6f5fw4A5H3pjLe8wqWlHaeZpjlatrWa5cIbb0CRZm/RnT+JVBbiP8mthB/57jKzUHQqNTKs89KrrfIEOF0YEv6fDeVv51VK/V0G6a49Rh/P/U3mK9tbMYDzhbwUSz5ZTfVUJcXRSKZp+gNWEe/Tw5d67fcvqBmcFKIyHARmS4iYzNeu0xEPhSR90XkQRHpk2SMmdRk54k9lD9TVdcBNgdOFJFBYB0r5p7wZZgFKvoa8CmwniCDS3xPpsj7YcWOF+Ei4KfA/1RzukY0YQ18GApGS6DoRExtZFVBwtDWLJVg9JmYr2VGo7JXzGL5+eJ5A/iYMq63qBDhx5ic4iJ+WGZd0qYCVclQVhnT7sBhmOLWvooqlmQVp/HAs5gqVBRJSoFq0w4hnxdMM7seS3DK5Gm33z6CMsNgBEuadj8L/FRV18V+L3+IO6h81GTnqapTVHW0+/csYDwQuBBciU1xRrFsMcjMLGfqNBB5L2ih5Mxyz8XMcnNKxmna1mvfCO+ug9FnMdHt0MiYFl9LkChNeYvxF3I3KklRyfUWKm5q9GWsXo5Q5WvSpgKJ1JMIjcBI7He1o6aFGy7Cfj+RGw+IcBqwFfCRapvBfJj8x+2jkMy7FMt2PSRL1/oVt18/gjKrRlVfwW6WMl97RlVb3H/fAFaNPbA81GTnmYmIDAQ2AN4Ukb2Byar6XhRlqaV7TwS2EGRgie/JtFDK6SggQj3wHDaq3F+VQmotga1XJKM0NcH8d8gtmB8lx7h9JKPqEvkruRuVRFD0GWwGpeTrLQL+hU2NPqrKXe61KzA9rthMBbJ4EegGXKRK22/djT4jNx5wtoCXY8vRcgrTV4sOVcWmoUMXEnD19Hesnq7IKLMVmAUMDLvMmDgSivqlxkZNd54i0hO7Aw1cUM6jgIl0SJzt9uWOPoG8AtEPY2a5t6m2ORzkI7D1OjTChiuIN7bnbW6a8hNgfcGm4OPGNSqBOfUVRQ6PizCN1stChD2BXwPfAvsFr7t6upr4TQUQ4VxgI2CMas7f+u+J0HggZFvAYnwJ9JJhkRgo/BHzkf1tlo/sxAjLjAwROQ/rA6p1mwqNmu08RaQT1nHeqaoPAD8CVgfeE5FmbPg+WkRWDLNcRe/BnNd3EkrLhFOzUHqbHBZKIhyGefdNBn5Twrky764vLS/60lD0bcwgd7Ag0TktLMkpbp/kwvvAnDq7UUkERUcC04AdS73ewsBNjd6PTY3upEtq/w4F5gNHxlVPIgzCzLkXkGfEp+aPehvmx9sUQRhtSUpavS1gMYJR9VZhn9jV0y1YcuKFWWUKsEnYZUaFiByOJVYdqqo1I8Zek52niAj2xY9X1b8BqOoYVV1BVQeqiQ1PAjZU1akRhHA+5SfuBKO5NmsgZ5Z7C6buU44qSWDrdUyEDdcJbh9bR5YxLb5lHhWUOGLINKe+sMjhcRGm0XqpvIR1QH/KnBoNcPV0E1ZPf446GDfiewlrk4ao8n2Bw0/FflNnhDn6zE5SCuu8BXjR7bOTZMLiDGy0dmpGPQXPPeNMGKwYEdkNm23YW1WzVYwSpSY7T+xO7DBgRxF51217xFW4ojcBP1BGZqai7wAfAIME2ci9/Ao2gjxDSzfLDRquEVjjNqyM0EtG0RcxJZBNBFkjijLyUMm0eNgE5tSnRjH1Vy6K3kI6wzXyTGARzgM2BN5XZWiBQ8/CnvudFEM93QssD9yrygOFDlTz470fk+s7LYzCCyQpRcljbh/JWl81H9l/YxnDQdLTo1GWWQ0icjfmL7uWiEwSkaOw3I9G4FnXD9TE0i7AKwzl21DOdiowd5Txnu3ce94GvdKpklQkuYfSDWURyuxyFYzKKGNfF+9LMdfttHwqKDHGcIf77GcnFUNWPGeVe71VVA46GLQVdD5o3xLiutXFdW6EMR3gfitTSxVcJ2TjAdC3XQyxetBGKZnn6inwkf0+o8xFNDEhzs/ZHrdaHXnWApdjhq4lZxwq+jLwBcqG/OSj07CMxV0qKVzt7vpe7K7xzErOUUIZDwFTgW0FWSmKMvIQTIsnOfo8HhO4qBXx6iso83orl7QZAXXAIVp4ajTgJGyK9HfFDqwwpr5YEki24lZB1IwHniAE44GMkXi+JKUo+RqI7Fm3orOw0WYfQYKM92+AUHNFOiK+88yDopVlHM7ufgYC3PJbgF+oVmWYfQLRN/DnEHNHphVMi0cQwyxs2iyzUUkMd71dRbQZrveTnhp9qMS45gAPAb0FOT6CmALFrXNV+bDM9x6DTbNeXGnhIgzGnn3nTVKKmEAyL0rZyGAt+p/c/z8GOssw6Rthme0e33kW5gLsR1V6xmHjnJOYvDJs/SqofFpN4Zq29eoryFHFjq+wjNuwpQq7C7H+mIKF+NcVOzBCfsvijUrSRJbhKsKBwP5YZu8hZb79WKyeQn3+nqG49V/V8iUjFZ2CJRmtKMj+FZSfORIvlqQUFYFkXmQJPIp+DTwPrCDIwRllhioN2NHwnWcB1BJ3/ondGRe9uxXhGGAnhjZNN2/1UNbuBXeNFd9dl8BF2LVwfYRlZBNMiycmWJCjUUmUcq+3UhFhWeAObBajbC9KjcBUQISNSPtAViNRF/ijVmI8cB82Er9PiyQpRUiw6H/7iMsJ6uky0jJ9UUgDdhjMDsuTF9ewz8aWjvR002tLHmdmuUFG7UBU3gWWBZZ3jU81MTyPSfr9Um1dYKi4TMoZQHeg0T1vjRxBLsYa0OsULdmZJuQYBgJfABMVDV3tpVyc7NwcLMs17/VW1jmFscBg4HeqlSnzCNIfW9Q/WdGqJNKc4tbXQF9gdy0uHFIstjeBTYGdFH2hxBgOwKaxpwErlXtDERYyTOqxzO/3dahGuuZakP8AW9LCHlzME8C7OlQ3iLLM9owfeRZBLd37bqxj+X2uY9z0z6vY86rjVJmMTXGFZaEUqa2Xa6D/hqmqxKZ5S3pa/KikBAvUXF9eB/oLEtV6u5JRdBFmWZf3eisHES7BOs63Ku04XVyBqcAqIZgKPIJ1nCOq7TgdwTPrkh4BuJF42UlKUZAhmRfHumdbi97A1diAYGAMZbZb/MizBFxSy/fAbEWXsMQR4UbsB/ysajq7VpAZWLZsb5d4UU0MbwCbAbuqaaKGiht9zsVuqHq6RjxyBLkG80P9i6KJOCY4V5OxwCeKrplEDFnx9MBmAnJebyWfx6ZG/4uJqa+gSrXX4JpYgstniv64wpgOw/R0JwGrhdVxCTIGe366maJvFTw2PRI/p5JnrWEjw2QsMAiod5q30ZWFvAOsz20008yAOMpsr/iRZwlkpHsvkXEowo5YxzmDJR/6h2mhFIw+I7FjcqPPG4DOFHGICZkzsSnKU5ISLNC0OfVPBNkyiRiy4qk6w1WETpidkwD7Vdtxurg+pgpTgSzFrW1CHvEd6/YFVcFEuBjrOCtKUoqI97HvabMYyrJ62ps+rswNYyizXeI7z9IJ0uLbMg6dWe4j7vVddEmz3Iuw0VzVFkqatvVaU5Co1EF+hz3bPT6ujkzTKijdiWgtYYnUlDk11We4PoxNjd6qSpgzFdWYCozCFLdOU6U5tIho8+P9jALGA24k/geqT1IKm0Ayb/eoC3Kj8o/oQx9sccxSIdNXi/jOs0RcZuZzWMZhkOr/HGmz3CWmitxoLkwLpUgbeDdVeztmB3V+FGXk4URsNJKY0a2mzal/JsjPkoojI56KM1xFOBxriCeRnrEIK663MX/dskwFRLgK+AkwSjUyU/S8/qguSSkYiR8Qxkg8RALJvC1iKu8kAPaKtcz2R9ISR0vThjKAFMpkWuD0FKQUvp9c5D31KAtQ5oUhs4fyiZNLGxzRZ+yG0oIyMypZwDzlPug+13EJfr87uxjeSCqGrHj6u3hKlm8DXQl0IWgL6MCI4trBxfVWiTFt6aTvZoF2i7jOJrrYBmTF8LiL4dakv9eccZtk3pexlTeLr0mhDEMxjeshSdfB0rb5kWc5CFvxBilm/6geLhV7VLdmH5H8IwMNX+Q97911GKgtUxmJiTGfXOTwMAmmxRNzOlH0OWw5xmYJmlO3oekM11XLyHANzAhO1ZCnRjPiehFb3rOJIAUTh0ToQnot4x5aneJWKSxhPOCSlPbARuJVSflFSKQyfZmIyBCOpCeCublapu/NhdoxTw6S7r2Xpg1o5icoK01SG3X+SrEGv7ng+9Ii77NCGn1+6e6uB0byOZW+Tkz6m1jrV3nGfa5DEvuOlQNcDM8nFUNWPGu7eD4teix6tRtdvRxDXCWZCoA+72K6JsY6m44zHgDtF/VIPJSYm3iJJpQmior1V12WjTSVH1wt9aekdsxvi29+5Fkeq/FJHaz6Lmz2ILb8071eALXR3H2YhdLpIcQRqa2Xot8DTwHLCnJ4FGXkIUhGCeP5cEVo2px6hzjNqQvE8yElZLiKsDVmNj6LCs0IyozrIWAKBUwFRDgOE/f4XNU9Z4uHC0j7o75KRElKIfNft49DMs/aq2swifiVs173lEbSvffStBHcsS25NRd9b9gWSmlbr36RfFZlJXf+r2KtY+VVN6LZPbHvWTnKxfBIUjFkxbORi2dszr+jXUBnuBHeNjHGdbiL6/EcMfV3o71FoKskUGc/cNchKVcnryT9HRaNt4kd3chzeORlVdGO+S29+ZFneQRanJnMpQTXEw3RQskR2HoVXNdWKWqi268AKwmydxRl5CHQ4Px7jGUuhqbNqfcUpHdScWTE8zbwIfkzXJ8GegHXqjIqxrgCU4HdMk0FMhS36oFj1RS34uXhve7m+OuFH3/SAuwae/nl87LbxyGXV3E75skg6d57aduAIdidW4oys9RQ+rnR3NRQYlG+d6PZxkg+q/JjN7L4PNY6Vt5x5W6Z2PecNqe+M6kYsuLJmeEKerwbXX2WUFynuLjuyYjpRhfT04nEhHaB1AwaZyifrLEIpUvS319JcTcxi6a0aXW0dVR5O+Y327w8X8wI8gK2QLtqkXdBzgYuBe5U9NdhxJejjP8CGwPbq5l9R44gG2PPgMYoum4cZeaIQYCZWJZ0L41JLL8QgnyB6ZH+SNHPRRiACQMoJnU3JYGYFjMVQHQLzKlmBrC8LikcEn1Mgv3GTrxmNNecvCEJGg+UgwyTD4C18ZIiSgFKAAAgAElEQVR5SwV+2jZ+qrFQyiaw9To4QluvIN7Y7MoU/R+moZqYYIGilZmhR0uQbDbcTY2OwqZGj06i44S2ejIZym+WuR5b8J9PcStyXJLSDsDnXHPypiRsPFAmY7BHMRslHYinOL7zjBlFP8fMaFcTZOcqzxV5A6/oe8A4YB1B4vxRn+D2YXiiVkpgTv2bWmh8NSPDlTU/vAPoDzytyohEAzMz8Xn84vH/w0agV2gOxa2ocSPxazCLr23V1ljfgvmjXhR3PBUQyPTtkWgUnpLwnWcyBKO5MGTKAluvIyNs4ANx8psiOv8SqPkyTgA2FWSNuMrNiqEV+8xxi+UX4g+AcMWZQ4AfCETWEkRR5djr3+LNzYR+U75TbVtKFRtuJP4KSyYpnYF1picnZTxQBo+4vZfMWwrwnWcCKDoGm6JZS5BNqzxXKzY66wJcHEJ4ucoYhT1b29DZUsXFGW6f5OjzLExK6oSaaHxF7+fbZZTdn4Kdnt0/ianRJUISfsxNx25Dp4Xw3nrdE6qnG7F1is+oMjx4UdPGAz1I1nigKDpUJ2IazzmF7T21RYfqPEWkv4i8KCLjRWSciJzqXv+TiLwvIu+KyDMisnKxc4VAIPIexlKTM4n+7vpUt4+tI1P0AWAqsH2+hfgxxLAIM07uTm2k8j/Hn84X6lPw3C7HFj88WtIjPqnjwgtepN/XXYnXVCCwBTwaS1LKJTJwApZVmpjxQBl8Q0wyfZUiIsNFZLqIjM14LYk2NFmSTveNcwNWAjZ0/27EXDQGAb0yjjkFuCGWeNIi74NCONe/3LnOiTDeSa6M/rF9Z8qRrsxHE7tulB6YWP4PScWgqoCeBarULfoAE+5vQYlUaL2EmO5wy1IeJgFTAdAeoHNAU6CbFvgOH3LXUWLGAyV9niZecWIJvZOOJX+dsy3mAzo247VE2tAktw418lTVKao62v17FmattIqqzsw4rAeWLRgHYYq8B7Ze54Rwrnz83u3jfPY5HPgO2CMpwQJd3Jw6kSUPIqwJ/BVYSKphOyxbux5LGEsEEfYCDsVGS/trMqYCz1JaktLRJGw8UCKBTF/N+myq6ivYbzLztaTa0MToUJ1nJiIyEFPzeNP9/2IRmYg1BhfEEYOiT2FOD1sKMqDKc83Clgn0FuT4YsdXWMadWEO5qyDLRlFGHi7CrtXYlsvkIDCnboq7YDc1+jJWB4er8jXm0DMPOLxao/UKY+oN3IvVyY6qtLo/HYdNkUb+GxLhDCy55kMtkqSk5sf7POaPenDUsVXBs26/Y6JRVEASbWiSdMjOU0R6YnfIpwV3TKp6nqr2x55vxSliHabIe2DrFYb1WT4C0e1IZAHzcBUmeH6QIN1iLLcNTZtTLyfIoTEXfwewIvCwKv928Sh2M5FUJvCLmIBEkypjghc1JlMBEX6MGQgsxKYRSyHIcr88kqDC4Xm33zDRKCogwTY0GZKeN457wxwWngbOyPP3AZBbgDuymDIslEI4V+S2XpiZUQtKjxjraJj7XDcmdu2kzakLGqCHWia6l3um+DVofVY8nTCj9blxPWN0MZ3vYnonTz1FaioAKqBTXAxlXecor7nvcLekrqOiMTYxmya+SzqOwt8BA/O1k0m0oUlsHWrkKSKCLZoer6p/y3j9JxmH7Y2JcMfJH7HRXBijzzhsvS7FnreFsU61VJowwYIjkhIs0LQ59cqCRL6+ssDUaBDPIuB2oBsxZbiKMJj0d7F9rmN0cVOBfSMIIxiJP6JuJF4GwejzH+GGFCqTgD4yrAaWRpVIDbShsdOhtG1FZGtM0mwM9lwGbPnBUcBa7rUJwHGqGqsThCA/YIkWfdSeX1ZzrleBrYBfKPp4GPFlnV+A2dgovodrxCNHkKuwJTOXKxr7QnwXw5qYdODniv4o0rKEd4D1gaGquRNd3DT2LMwVo7cS3Q9ahHps6dBywD6qbYv6c8X1Y+AT4AtFQxO5cElKj2BuLv2ybyhKOgcS1OtWir4WVmxhIcPkPuCXwIY6VN9JOp5sRORu7MZpOcz7diimipRoGxo7SQ99/WYbyu/ddNLtIZxrbXeuTyOM96+ujKtjrKNOKAvjnqbMEcdo99kj884EbSo0NZoVzz0unlMi/dzoSBfTXSXW01surh1CKr836Dy3LOVnVXx/m7q43k/qGioYXxOnuOUq5yUdi9/ybx1q5FnLZIzmOgM91ZRRqjlfcHe9jaKvhhBi9vnrsdFOCou37BFAheXeAhwJXKDon+IoM0cMGwH/A8Yp+tPQzy/8DHgPk11cUZUZReLpi2VBf6/ocmHH42I6GFPqmQqsrFp8KYLzHn0XGK9o1ao5pYzESz4X8iE2UlpXTfGrZpBhMhD4AnhCh2rNLlnp6HSoZ561jKKKGUA3EI7jSvDsM5LlHa6zvBXLuBwaRRl5OAVbz3pWjGUuhpo59XjMnDpU82I3Nfoi9gz8oGIdp4sn0gxXEZYF/oXdKG1XSsfp4grNVECEC7CO891qO05HkA0aRp5BqOhQbcbL9NU8fuRZQ7jR3Bz33x7VjuYy7q7Xdw1ZqDgbtNlY8kgvdwMQOYLcCxwInKxonElLmTHsALwA/E/RTUI7r/AQsA9wlyolL4lx8oWTgamKhiqNJsI4rCE/W7W8ZR5CW57BO4pWtPzCJSm9jy1LKToSLyO2CZge7o/U3I5qBhkm04DeOlS7Jh2LJzd+5FlDaKaF0pV8KyIpEWkWkSEVnjKw9Yrk7tpNLd8L9CTtNRkHx2KjoDhHvIuh6IvY1NrGLjmmakQ4BOs4pwJlmZvr4hmue4cRj4vpL1jH+Wa5HaeL61XMVGADQdauoPx64CWsrTo4rI7TUQvGA7mZxQ8oXaRL1W2AJyqSfujqt8U3luf/WIgyG4W2bQ4wpKLzKc0uOWKNSOJVeqO0ovGuS0N5wn2uwxL7rpR9XQwvVX0udHnQBaCtoGtWGM+PXTyfh/L50I1dcs4c0IrX9KLs6eIaVUEMD5aTpFRBbFPdmtSVkrqOlvzMDGF3FtKEMrj6NsBv0Wx+2rbGEJFm/sUADoML3oLT3wteR3t3Z2bhdy/JQqHT3Aa61yutjS3MDjtegNn19Gipo6FbK/O6pFgYRRnZpEBmdqKXKNq7pfx6CYsV96PXtK7Ilw8xo/+8ys8zc15jYypVV9e18/z5XTstqDhZbMPd6PlOX+qfe57ZO00vfxlHwPyFnVnxxKm9ZsztI0+evduc3dZ/pqXScwHMaKCXCtK4iJn1JeqevvXZxp22ufDV7jsNfk4fPWuvmfV14bdVC+roPK+ebg0pWnq2tj0ySZQZc+mldQid4IsZsGFaJXiCqg5MLjJPJn7atvZYjRNguVnQd376RVUqWjDdWVkkiraaiVUki667tzIXYH4dsT2fqQOtV1pVkIVCQ1zlZnPxe8xD4KjN6VHpOeYt7No1laqrq69rba2m4wS4+U37Lk7YlO7VnGevKx7rMWNuXzl8mxELq+04Abq1Mg9gXkNpcc2e353Drruj+zI9vuPWY34zO4qOE8Dd7GlLHQ2pokfHgypCK3aLsfjtz2qJBOTJTdJDX78tvgHNpKdrM7fmis+ZtvV6LLK4ledcGQfEVlchT1NWEcc3buq6b/nfdzhTo1nxjHX1slFF70ePcFOlE0BDW0+L8rWbIl22hBjGuRjOiuH7O8PVVyRTw+XXf/htgN/C3/zIs/Y4F1s/mclcqjBi1rSt1+4R2noFsmdhLLMpCUU/Bd4GVhdku7jKzcGF2CxOWWL5InTCXDQEU+wJa9owcNUp2zpOhJXc+1qBbVVLm2ItkZJMBapNUqqAK7Gs8QOTMh7IIvQ2wBMBSffefltyA4Zgd58pt686UQDldHd3/e/I4lZed2XsHFtdKRu4Mscl9n0pQtqcuuTRI+hTbnT1zwhi+tTVS1nJR6CfupiOj6iuCpoKRDESLzGuC119JWY8sHg9hN8G+C3czScMdRCcgtEMzDi4Uc24OOwyBgNjgY8ULXtZQhXlBusQN1SS0QIV5ALMCm64okcVPV44EluW9CUwUDXUER6C7Ak8BoxStCTLLhH+gYkHvKyaW/Q9hLjOBS4GRij6m6zyOwHTgT7Arqo8E0UMeeISbHRXB3TXmBSzPEsvvvPsQAgyDJs6u1nRYyIq4z1gXWAzRd+KoowcZW6DrXF8W9GN4ygzRwyCLSdooIhYvgirYKMJAX6kyoSIYpoErAKspuYIk/9YIRAzmAUsr0pViUsFYso0FWjUDBlKEZ4CdgWGq1L0BiSC2K7GFKwSMx7wLD34Z54diyZMDehwQTpFVMaxbl/287ZKUXQU8DmwkXM9iR1FA3PqTphlWyFewTrZk6LqOB2/c/uCIhkidAGecP/dI6qOE9rq6Rqy6smNxHcFJpJ+fh43ZwGLgBNdJ+/x5MV3nh0I13DdiInPXxJRGW9gVlTrCRKnNudpbp+kVuk5mITccfkaXxGuBdYAXlTlhiiDUfQuTDB+F0GWLXDo05gd3t9VCd1EIAfnYqL3xwhS75KUbsSSlLYJewq7VNxswZ2YP6pPzvEUxHeeHY+zsbvrEyK8uw5Et2OTPVP0UeArYBtBVomr3KwYAnPqnGL5ImyHSSbOBHaPKayCGa4inAhsB3ymyqlxBOSeJw7H6mkYNl3cAJwc8Ui8FE7COvHfFTvQ07Hxzzw7IIIMB34DDFU0DIeKXGV8CfQHBioaS4MoyKHAHcCTiu4RR5k5YshpTu2mRr/BdIC3UiU2E2ZntN7TxdO2HEaEgcCnWEbnAFWmxBiTmQrc9n/KEbd1IsIkpXIR5H7gABI0HvDUPn7k2TE5GWfrFeHo80y3j3P0eSfWQe3qPC5jx2Uxj8SmQTNHcs9gHdjf4+w4HZcC9dizRgBEEOzZaz1wTJwdJzhTgVe3fIFT/t6JVSYtwJ531grHYqIEiRkPeGof33lGiIj0F5EXRWS8iIwTkVPd65eJyIci8r6IPCgifeKMy40+HsAa+JOLHF5pGfdhyw52EmT5KMrIwzAqECwImeOw0dz5ACKcBGwLfBrX1GgWl2Aj4UMzEsX+ic0MPKXKiLgDEqEL27+8JQAvbr8wyiSlclH0W+w58HKCHJZ0PKUgIsNFZLqIjM3xt7NEREUkEqP0jorvPKOlBThTVdcBNgdOFJFBmKrMT1V1XeBj4A8JxBbYel0QYRl/xJ63xZbE46bZZgL7C1Kx3myVMQTm1MvI2J+eBVyFPWcuab1lBPFkZrheLsIuwJHA90Bo9mVl8jStDT35/V8/5yefNQoS+9KUIgRLuf6SaBSlMwLYLftFEekP/BxbT+wJk6RVGjrSBjwM/Dzrtf2AOxOJJ23rdXiEZXzndF8bY/xc57nPNTyx71pZiRQppq7Q4hR7IqvjEuOpR1lAink0LJjjVHwq0r6tOhb0RFcnn6L0c3q3U5Osnzx19oq7jvZKOpbS6pWBwNis1+4H1sPWFS+XdIztafMjz5gQkYHABsCbWX86Engy7ngcR2PPdv4cYRmXYDMc10VYRjZ/xqYpfx3hetaCKDqFcYOn0W96PUffNFqV25KIIyOeVuBWhK6c/6fuwF9VeTvuOFyS0tXYSHwbRacBLwD9BDkw7niKEKw3vSrRKCpERPYGJqvqe0nH0h7xnWcMiEhPLInkNFWdmfH6edjU7p1JxKXoZGyZwMqCRDV9dzmmvHOIy7CMHEUV66w7AZfFUWY2IuzGvg+uiAI3HltojWV89P12Aosa4MwrUqjEvo6xQJJS0EnFIQJfMop+DIwG1kjYeKBsRKQ7cB7RPpbp0PjOM2JEpBPWcd6pqg9kvH448AvgUHXzKwlxFAp8yUgRSYlIs4gMCevkriO7GlvHF5vjCmnBgmPjVosRoQcwks9+oszu+QHCAEF2jDOGHDGtyQ/LXMT9B6ToMa8OOD2BMHImKSnaDLwBrCbILgnEVYhjUOBjno3i9xEhPwJWB94TkWZgVWC0iKyYaFTtiaTnjdvzhiXL/Au4Kuv13YAPgOVrIMYhvE0rKZRt23wD5xCii4N73jbfbfWxfTblRvfMali8dapvumd6l6Cs52IYn9x3rAI6BVRZZ+zh7hn0dzHHsIurk+9AO+X4rga7evooqXrKHTdDGO9+H+tH8/sIMdaBZD3zzPhbM/6ZZ6ibF0mIEBEJxLbHYJmtYLJffwe6AN+6195Q1ePijxBEpJn1GTD6Ylh9Jra8HxBBe3dnZsE3l8HcerotrKNzl1YWdEsxP6zzFmJ2HfQ5iN5dW+GH+5jREEOZf374nC7n3XtJ17VXHp8af9mgWQCD9qRxfC/qXn+GWZt/23YdxMaBV9/T/f63Duq014YPL3rkzH3n7rEdPZ5chYbr32TucZ+RV8A+LOYv7MwWTW/0nvDNAEZfvMGsgct/mbMOZjbQmBLqerYwu0GpCVeTGXPpNaofstcvYJ2pMH7ltj9NUNWByUW2OCJyN7A9sBwwDRiqqrdk/L0Z2FhVv0kkwHaI7zw7OCKSAmT0SFi9FTMtc5dEnx7MCKscBWZ0ojdA70XMiGse9cCt6H7/ADr9dTTzf/dhtGsJx04cVLfeH95vbKhvYeI/Vp2xQi9rp15anvoddqbnuj/Q+t6TzI4yhmxGvrVfwy+vHtlj2Z7f6NTrV5zZUJfiq66w6n70Xn4+Ou3B8G6Q8nHa7Vf2vPqp0+rvPungBYdscW/eG6cWoX52Az3rlFSvluA2Lll+mGPX7HoHw6SekGoksKlWVfWPvTowvvPs4Lg70gGsg/mtfNH2p9DvrAUZARwO/EHRWNbPCdIb+A74QdHIEndcMswUoB9wkCr3ZcXxKfYcah1FP4wqjqyYegNTMSOAdVUZlxHPc8BOwC8VHRlhDGdjCkcfqDK46PHIR8CawE8VHVfs+Khp+32si11Fk9r+VFMjT0/8+Dsnz7nAXMaT2XHOJRpXiUAW8JwIzp0TRWdgdlvLCHJkhEX9G+s4R2Z3nI5AWSg2uULgJUx8/YLMjtMRZLhGlsQlwtqYyMBCSheICBSvknTHycR+H++T2XFG9fvwLE0k/dDVb8lvwBAsoSDl9pElQ6CMdIkhx8X2+dIL8adEU3+6r0uGmQ4qBeKY5D57/+i/U21yMY0uEM/rLp6dIyhfQKe6GA4s8/ua4OIaGNc1UvizxPf78NvSs/lpW0+sOJ3bacA3iq4QY7kvADsAByjpJUNVn1foi03XdgJ+psoHBWIYgq3pfUbRyITQRVgPeAfzzFxBNffzQ0EGA2OBjxRdO+QY/g0cDDygygFlvdfEEu4FnlP052HG5fGEhe88PbEjyNPALsCvFP13TGWuAXwGTFDCe1YlwnvAusAfVbm4hDi+BpYF+in6dVhxZMRTj92cLAvsrcqjReIJ4t9M0bdCimFf4EHga6Cfavnm1oJMBVYAVlJTIfJ4agr/zNOTBMHzttjUfxT9HJNGDE2wQIRhWMczupSO0xGYU98QRgw5eADrOO8s1nE6jnX7m8Io3I3E/41Nce5QScfpOB+rp1Di8njCxo88PYkgyKvAVsAeisai7SvIz4D3CWGastSp0TxxBObUfRUNbUmGCIcAdwNfAauW2nEJ8jHwE2CwonmnnUuM4V1MiLykkXiRuL4DegN9wqwnjycM/MjTkxTB6PMfcRWo6BhMsGItQTat9DxuavR5bGT0y3I6TkdgTh3aZxdheeA2LJt5uzJHfCe5fVWZwCI0YR3nO9V2nI4/Y23U9SGcy+MJFT/y9CSGIO8A62PuGq/GVOaWwH+AdxXdoKJzCI8AewF3qFK2WbLT2p2NJRk1Klq1eIMI44G1gTNUubKCmL7EdGcHKjqhgvIrHokXiEkwzasuQM8w6snjCQs/8vQkydFuH9vIQtHXgE+B9QUZVO77RRiCdZxfAf9XYQyLmVNXco6smC7DOs7XKuk4HWe6fdmjz6yR+EFhdJzQVk9XYaYClX4ujycS/MjTkyiCfAisBazrplXjKHM3zEP1NUW3Kvl9NjU6GbvpXFuVT6uIoR4TGAfooea3Wf55hE0xR5K5wPKqzKsipmnA8pSZ4SrCw8DeWJLSrystP09ModSTxxM2fuTpSZoTUGA0/4vL8knRpzC9mC0FGVDGW0dho8Wzq+k4XQytwHBsSvLCSs4hQifgGWzEt3c1Hafjj+5cN5YRwyFYxzkFyp/CLoarp5uBLlzNt0uZLZinHeM7T0+yCCsyAWUDOrM6AgwAbo6hcTzL7UuSgRPhcmyEXM3UaDanY2bop1boOfoYlo16kyovVBuMojcD3wN7CdJY7PiMJKUUsG0Vy1IK04c3WQj8lt4Q6zXi8eTFT9u2U0SkP+YluiLWuN2kqleLyIFAE7AOsKmq/i+5KJ3w9j4MGH0srP4DBJ4jYVui5WL5/en1bRfkqweYsWKBVJRXP9qybpsLRzV27zyPadevMKNn17mhxXDIlnS/ZyCdLn6X+ed+ULrry43PH93puOE3du+/7MTU51etPquhLhynsz8Post569P1kGYW3v1a4ZHsETfc2vivV/+v7omz95i/23pPR5bMM2MuvY7bFvn3mnDSi3BNepVuzYizi8hwzNx+uqr+1L3WhD3XD8QwzlXVJ5KJ0BM2fuTZfmkBzlTVdYDNgRNFZBAmx7Y/8EqSwWWwGg8DP0Bm16FK5K5lTWOYpwJHb0b3fMfMX9iZPS57ohGEh87YZ3aYHSfAdW8xt07h0kF0KfU9E79ZlZNGXNu9vq6FUedvHVrHCfC7D1jQYxHcvxqd5xZoHe78z6+63jbqiLrTd7uyNcqOE+xauOw/sPVXsPXik+WrRVlumYzATO6zuVJV13eb7zjbE0mL6/otng14GPh5xv9fwsxxk46rGbP7zN6aYylf+QGlBaUxd3z6rBM3vyHCGB52QuhHl1Zn+pmL6ZiI4rnYxXNtnvI3BU2Bzgbt1t6vkTLiHAiMzfh/E3BW0nH5LZrNjzw7ACIyENgAk6erNczyaXHitHy6BBMsuDb7DyIcDeyMNd7HRxjDMVhncFGxA0W4FlgDeEE1Mum6C7B5gKNctmtm+WEnKZVC0tdINZwkIu+LyHAR6Zt0MJ7w8J1nO0dEegIjgdNUNdJniJWgqndhz4UmYB3IBOBo93ocXIothfiVIG1TpyL0B67Dpr+jS4YB1JaFvACsIMjB+Y4TYTvgBGAmsEeE8aQzXFlCKehxQkxSKime5K+RSrkeM0BfH8tGviLZcDxh4hOG2jEi0gnLyHxaVf+W9beXsCmlRBOGagFBLsEMuq9V9CQAET4HVgeOUY3emFmQgZgd+URFl3iWJ0I3YDqmibuVKq9FHE8XTN1nEabuoyIchYkoTABWj/KGYmnEzfA8pi5hqNS/eZZO/MiznSIiAtwCjM/uOD1L8EdaaWEBJ0iDpERunYl1nM/H0XECKNqMiR30F2SXHIc8jXWcV0Xdcbp4FgB3Ad0Zxrciq6Zg0T8hlQK28R1ncURkpYz/7ocl63naCb7zbL9shS1a31FE3nXbHiKyn4hMArYAHheRp5MNswYQDuZmlC4I/7e9wBGNMAPoMyLmSAKx/GsWC084BdgG+FiV02OL5ke8QitwKn3hFTGVvBNbQLaJLYalBBG5G3gdWEtEJonIUcClIjJGRN7HjNjj++48keOnbT0dHhFppjMDmN4VVpkOc3pi9xZvxr6OMMOcegtF3xBhIKbFmwL6qxKbMbSINDOSAcw9FA67A3ssuxPU0PpKjycpfOfp6fCISAoQth4Or/4GfnYljDkDQFU11tkZQTZHeZ3xLGKwNMCkFKxUD/JrVe6MNRaRFMv2Euo/hgFfwH+3AxZCAvXi8dQa/gfg8cCXAIz+LWx1ftBxpl+PE2ENPkVZh04MHiawcj082QqSxF3ul3w7E7Y7BCafgus47XWPp4PjR56eDo/TSL0ZFlMamksCyyFEpJmfM4CngTc2gy0fB1YAUvFPIddQvXg8tYbvPD0e2jqKP2OSb19iOqSxdxBtU8jNK0P/KdB3MMwcCwlNldZKvXg8tYbvPD2eGkJEmoEBbNUHWjaBN58N/uSTdDyeGsJ3nh5PDeGnSj2epQOfMOTx1BBLsRSdx9Oh8J2nJ3JEpL+IvCgi40VknIic6l5fRkSeFZFP3N4LZ2MdqKoOVNU6t/cdZw6c2Pp0ERmb9frJIvKRu9YuTSo+T/vGT9t6IsfJlK2kqqNFpBF4G9gXOAL4TlX/IiLnAH1V9fcJhupZihCRbTH79H9p2oB6B+A8YE9VXSAiK6jq9CTj9LRP/MjTEzmqOkVVR7t/zwLGA6sA+wC3ucNuwzpUj6ckVPUV4Lusl48H/qKqC9wxvuP0RILvPD2xkuUt2k9Vp4B1sNiCRo+nGtYEthGRN0XkZRHZJOmAPO2ThqQD8HQcsr1FzfjF4wmVBqAvsDmwCXCviKyh/vmUJ2T8yNMTC85bdCRwp6o+4F6eFtg2ub2fYvNUyyTgATXewgT1l0s4Jk87xHeensgp4C36CHC4+/fhwMNxx+ZpdzwE7AggImsCnYFvEo3I0y7x2baeyBGRrYFRwBhsJABwLvbc817S0m8Hqmp2AojHkxPnobk9NrKcBgwFbgeGA+tjSvZnqeoLScXoab/4ztPj8Xg8njLx07aeDkmuBfYisp6IvC4iY0TkURHplWSMtUSe+rpHRN51W7OIvJtkjB5PnPjO09NRGQHslvXaP4FzVPVnwIPA2XEHVcOMIKu+VPVgVV1fVdfHksEeyPVGj6c94jtPT4ckzwL7tYBX3L+fBQ6INagaJk99AW0JYQcBd8calMeTIL7z9HjSjAX2dv8+EOifYCxLE9sA01T1k6QD8XjiwneeHk+aI4ETReRtoBHL1oyVPM8W1xeRN9yzxf+JyKZxx1WEX+FHnZ4Ohu88PR6Hqn6oqruo6kZYZ/BZAmGMYMlnsZcCw9yzxQvc/2sCEWkA9gfuSToWjydOfOfp8ThEZAW3rwP+CHrft3AAAAEKSURBVNwQdwx5ni0qEGT+9ga+ijWowuwMfKiqk5IOxOOJE995ejokboH968BaIjJJRI4CfiUiHwMfYh3UrUnGmMFpwGUiMhG4HPhD3AHkqS+AQ/BTtp4OiBdJ8HhqDOc881iGR+XfgZdVdaSIHAQco6o7Jxiix9Ph8Z2nx1Nj5Og8ZwB9VFXdspAZquoFHDyeBPHTth5P7fMVsJ37946AXxLi8SSMH3l6PDVEHrHzj4CrMa/K+cAJqvp2UjF6PB7feXo8Ho/HUzZ+2tbj8Xg8njLxnafH4/F4PGXiO0+Px+PxeMrEd54ej8fj8ZSJ7zw9Ho/H4ykT33l6PB6Px1MmvvP0eDwej6dM/h8mKPi+K7PaQwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(first(find_chains(36, True)))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {1: 2, 2: 48}\n", "Square counts: {9: 4, 16: 6, 25: 4, 49: 10, 64: 15, 81: 10}\n", "Chain: 50-31-18-46-35-29-20-44-37-27-22-42-39-25-24-40-41-23-26-38-43-21-28-36-45-19-30-34-47-17-32-49-15-10-6-3-13-12-4-5-11-14-2-7-9-16-33-48-1-8\n" ] }, { "data": { "image/png": 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1CEye8I68x2htqE7EmgfchZUKPYXIh4gMAtAKnQC8BgyXKklccqQ6G9UtMYe8GsvYjiIyrlEd69coM1m9qg/S9c/cCjyIde75P0TeRqR/UV+rjw++M211iEipiHwsIi+4Pz8oIj+IyCfuvy1aeo45cr2I0K9Tp/O8OtDtF9+8H/AKti/5ag42r3UfiyF08AcKWWoTDZ2FdWLZEHipOhAYj3Wm+VcjecL2hK0wz8RCvl9gSVmzEbnOXWEeiDnJS6RKRqaw8xh2I/IU1gD9NUReU/jXujrWEfQDVteXcIlUUgmMBr4DdgDmIlJZpFdZFNxSn8/cz3zrrD32aYTvTFsf5wBfxj13oapu4f77pCUmVQCOxJJx4ldh+wDTgHE44YzrLF2hg+2BuYUWOogptXm/wKU2u2HKTPtss3Ss1+qu9SkeFRrV6agGMO3hWuBiYI5WsjVwEvY9lLp/qmUOH4knFmGJSgtdQX60QldhddIlwMuofoXqhtjnybYBRGYjMqYYL7FI7OZ+5tvSnDssvjNtRcR0oSh615DmpDoQOAoL9TVdhVkZyebY/tpZOOHTMzTrCR38Ld2BOeDtZRa21MZ9rYou32B1oN+GKwNzg5HIjIKO0ZpRvRdbYXrZvJO1kmN6rOY9YEOpkksysDEV1RE0XJsbEfkekYBW6GPAu8DGUiUXusffjoWbJ+HWIiPyPCKdC/zqfDo4vjNtXSTrQnG1iHwqIrdKM3wJFEFZxsuGbSoSD14ZyRhs1XInTnjXDGwWRejALbXZBVhQlObc0dCSV/o8N1lRxiwfOwgnvGP6k9oRqjWoHozJJ/4E7Lv0OrYIvcta4Cqpsj3VDOxch+kF/xfrvfo5Io9t+RMHYO+ja9bZUl2B6r7YdY0CB2NlNyclM98K1JUUeEVEpojIqc08tk8O+M60lZCiC8WlwCbANtgd9sVFnkcQ6yAzAvJXlqkOBIYAvwK+SbkKi4a+wzJAAV7BCY9IYXN/iid0UNSeotWBgCwsnz/uzd6TVgsiwOs44aSC8e0W1fdRHQJcKVD2t0mUfXU7pZvO5T9Z2FiC6m+AvbEetcGP7mH6zZN4GOvVPCnu+MnYivgGvK5wIpH4lnCF/gzkyE6quhWwL3CWiOzSjGP75IDvTFsPCbtQqOocNWqAB4BtizyPawJlTrenNtmSi51NvefyUZbxQqbpz4+GXgXOBcqBj3DCXZMceZX7WIz9xlOBOqCyCLbBlSf8qfOMJ7EoRGcsw7djhh1VK4DBwDsb/QxT72aTD34h/0tQm5rKxitYVvcdQLfz3+Wkz+9g1XpL2UKq5PS4YxXVi4FhwEdYolJ8S7hruvWn29xucMXAdWc2q7qSqv7kPs7HOjoV+3Pvkye+M20lJOtCISKDAcQ+6IcAnxd5KsP3GdCL2pIagl22ZtOSweuez9aQKxL/W6zl1sMZnRQN3Y6tCvrRuIzEsxkrdPBFtnNKM1+v1ObNIvYUvXDdYzR0I/AIFq58v0jjtX5Uo6juGHE4blln2GYOO9bDz1nViZqTDGEN7yOjo3SddSvc9DLhEedK0zpm1Tmobg0cjdWmei3h9gWGb7kK+tTAlfNNJ9HNAGoWdSUR6S6uxrGIdMfqnYv9uffJE9+Ztn4ec7u6fIZ90V+V5vh8mblx7zLqFQIrt+SdPn+kH93AVZzJklMwFZunsyr/iIZOBd7CeojGCyZ4OrzFEDrweopemPKoHKkOBDbC9vc+XSdPGA39HvgA+DVO+OlijNtW2HS+PrzeH7nkPiv+8upE30HEydiIZQ5vKnCSCrV/fIfSj//OAkTGJjn+CaAv1tGmL/DSO7AmshL67Qgvrw9DsDudl2BVMyUuDQLeEpGp7tAvquqkNOf4tDC+M22FxHV2Ged2ddlUVY9R1eXFHDs4aNDT3UtL+XT5Mq5b9SrdpZxP+16q3Sj/Uw7mLo57zIbfYM3LD8AJXxfz/JEUQeggrqdo/L51ofD6osarNe0EzAEOwwlXFmnsNsGqq/X6kw/h603OgsWdmYuVP81BpCorQ6r3d6qn56RRLO+7mjKFNxGZhK304o+tRXU81hLuh+2h83zgnMmwz0Hwm+NgQSnsa6HexYicmP8rTTV1/V5VN3f/BdRkGn1aOb4z9WnE/v3776GqPD5v3uw/rXxBX679ctWQ0j6yYsDNZ2ZjpzoQ2AC3kXQwEpmX9USioTpMRm45cDFOeHyRhQ6uoYg9RV15wr2BpcFI5PlGv4yGarHyoJVABU748KYWOhR7f+tQ3/dS+iwp53wsa/vPbp1o5nuHqjX7Hsum251M/U/WGM4SlUQSd/FRjaC6PvDHEqi7BnjtEXhzJKx3CTW1JdyC7effh8jn8YlLPh0b35n6rMPbjxSR6bNqaoaqask+5aO7Y+o1O+CE78/C3C3uY24i8QDR0CJsZVIHPFyqpcVMPDqW4vYUvQDLIE3cYDwaigI7Y6/1cZzw5kWaR6tHK3QGpm7Vpc9lHICpHk3E6kTfQ+T/Mg23aoXO+GAo1w39I/xtW6Zh33l/Q+RbRDZJfJLeUmoh39fGLYSz34X6TnTu/Cc2wvZNPwYCWOLSHb6ovg/4ztSnMU2F101oYAywEDgBJ3xeOiPuKmwfEq3CsiUaigCHrShZVlJH3UhRmVZooYOYnqKvFLGn6NmkkyeMhj7GBOBLgbdxwpnvFbYztEL/hKt0JJXsiep+wFhgHnAQaepE42xdDsw8ez9GbXcSxwH/AzYAvkDkgYSZw9YSbg9g95tfZuF6y0CFAyp25Q9YyYqXuHQmlri0TxMbPh0K35n6xOIJr9/Z6NloaBWmq1oD3IwTTvfFcR6FEom38Z9/s/ekzxAYs3SXATjhVE2jc+Ev7mNiUYk8iZEn/CCtPGE09CTW47Qb1gAg8xKR9sfe2A3Io1IlnVF9CyujuY6GOtEvEFk/lZFYW+8P4+9SyW6YQ14KHI+Ffn+X8CzV18vAuWcC1QC37cDFa0plKuaQ+wKPu48TEfkPkiBz2KdD4DtTHwBi9iMnJNyPjIZmAHu6P03ACW+Uwty52JfgZQWamyzqtGCjEi2p27BmdG/gvULYdW072H7l9CL2FPUykNPL5QFEQxXAc5gD/l+R5tTq0Qr9CpOL7A48Y0+qonoplmT7ISYI8h0id6cKt7q27sBkLZ9B9V+YE7wX6Ak8i8h7CTOHVfXAb3R8n9U8uaQLHPdbtyWcRXDGY3v7P2BN6qNIBrKIPu0O35n6eHjZuslXZ9HQZKx/aCfgA5xwz/hDqgOBLbEvug+CkciSAs3tNKBzvdQ/iu1XbYkTfqJAtr090qL0FHXlCXcFFmYpT3gYVlu4HU74wWLMrY1wLjAXOECqZI91z6rOQ3UbLJqyAnuP/OzWiSbjbNwwsVTJONcxnwpsBHyFCSPMQSRh+dnirhwNLHxiU3hrKGvwWsKB4yYueSVV1yIyA5EOu+/dEfGdqQ/VgcAwTLLw62AkMivlwdHQvcBtWB3g1AR9SL1VWCFF4i9yHy/EylfmAUfihC8vgO3Eoe3CcQW5yBM27FUvAI7DCbf/7jIJ0ApVGmQmn5GquP1N1acx8fxHsX3vlxB5E5G+SWzt7/747Dpbqt+h+itMuKEWuByROYhsn+D8QxAYexLL18LTxLSEA/6OCXC8jtfYXOQpRAq9LeHTCvGdaRumgGLc3qrsLymP8oiGzsUaO/+SmNZZ1YFAJ6zN2MJgJPJ6jnNpRBOhg4YyklXAVTjhQ/Kw3Rw9RU/DawGWLdFQDbAV5uxvwAmnWnW1W7RCP8YafvcmUTa0ah2qx2J1ot9jiUrzEWlys6UVOgV4CHPAD8XZuRtT3noBWA94B5EXEOkac/5bwDMIAzpVsgi7Pg0t4eAUVHfHtkQWAodjyVLjW4F4vk8R8Z1pHsQ38o55/m8iUlRxhUKJcbuSfwcDK4ORyGNZnLontk+0B074Nve53FZhqWkqdBANzcM6gNQDz+CEN8vR9hXu4/k5zy4FMfKEk3OWJ4yGZgF7YHvQ6faq2zMnYmL2R0tV4xXjOlS/QHUUdj3rgasQmYXIlnFHnuDaGi9VcXWrqqtQPRCvqbitZBchjTR+j8KSl06RSta6LeE8x20t4UyEwwFuB7ooPDoVHhnasuL5iEgfEXlGRL4SkS9FZIfmHL894zvT/GjSyFus+XCfZhj7GqDbsT0DLHSuJNClF+Qmxn06Jrb+VFZnNfQhXQqcjRM+xbVVD2SnVpOENEIHHwK/x5z3OzjhJmG9NLaHYXKF6UPbuXOt+5hfiDYaegsT4C8jyV51e2ddiNX4l1SlqO1UvRW7iXkVGAp8hMgzXrg1ztYLCW2pvovqYOzzVAbchchXiGygFVqHKXEJXmca1WswGcA38VrCWej5fGD9r6B24xJKtjoSdm7IhW9W8XyX24BJqroJ9vn9Ms3xPhniO9McSdTIW6xe7UYa9viKyXCAM3qMoZ/25aVu5zd6Pgu8pIns5xwNLcNaw9XOL/vp7ygOtgpblbWtxHhCB4lLbKKhx7Ayie7Ap1mWkXgr3qJItbnyhNsDc4ORyId5G4yG7sP63Sbbq273aIVOxrJ6BwB3pz5Yl6G6JxZ+XQAcioVbj4ux9Sy2erwrhZ3LaZDn3Rj4BpF7tJKXcYUkpEpuco9dhOqu2B7vIiCINb3fYTSUnazw+vrwv+3cUY1mEc8HEJFeWETnPpuurlHVxc01fnvHd6a5k6iRdwiYoKpzmmH8md1KSvi+z/vMLJvB8JL+vNYrBFkI0sfsR05dJ7yeLdHQN8BBH/d4VwCG1Iy8Jc0Z2eAJHSQvNYiGLsX2uIZijaLT4oa2D8JC24kVifLnKmzl8reCWYyGzsP2qH+Jrbo6Ig0h1ipJH95XfQMYiClydQEeRORTRIZhq8tlwKlSJYEUNuahuh3mkJdjDRwWLbqWv2MSkOdJlWwQc/xELDHpTqAr8PinUPuqwsqn7Q3NMeuOzqWBRK6sj2UfP+BuT/1DEmkV++SE70xzIFEjbxH5BZZsULgvz9RcdvSgQbUiwulr7ue7uijjyjfm/d4Xfp2FDW91lrvkH1A98K7JCzvN0y71Xdl1yb73p+hDmrlNK7HJTOjAHONXwE444XsyMJ9baDs7jqM48oT7ANOAcTjhougIt2YShljTnqSK6h/xMmxhM2C6VnJL+dosbKk+h9WmPgj06lPD83NuZFa/FZQALycY8yzclnCbQvmPwHXfYVevN7AXtRSoFjtDyrCEqbtUdUuspMiviS0QvjPNjSaNvIEIJlH2nft8NxH5rlgTUNXqXXr3rlurysSff9YtF103Y42uXblNp+F74YRPT3d+zH7kkmAkEt/mLFuuQpBf1Iycgt2Rf1iAMKSXYZy+xMb2b7fCkkpOwQmfneaMi+IeC0p1ILA/9nX574LLEzbsVS8BzsrkWrc3tEInYc6vIcSa0Yk6G3Mi44HVwNk1V/HI4Z/zATBUqiT9jY9lDp+ANRX/br0VbDzvJvSKN1hfqqTpTWlDS7iTFWovBH54AkpqgR0oo5J3M55//vwI/KiqnujJM9jnxqcA+M40B5I08u6rquup6kj3+ZWqukFKQ3lQHQgcWlZS0qVMZIKqlizTmpHlUrY5Vid3J0541zQmUguvZ8fxwNrvu325HfAO9kWTsyZvnNBBZiU2Jnm4FbAG+CtOeK8ktjcBRhLbU7TweEX/RckSJhpagdWgZnqt2yOHkCjEmgmq1ViS4JNA/yefYZs3HqCu52oukKqMpAlB9StUNwTOKVVqr/wvzLqZqn9tlESjV/W+MlNaen7kWqi2T4dIPf/Oau55oKpzgVkisrH71O5YEwufAuA707aLlzHbIDwfDX1HQ4H7KzjhESnO9/Yj8wozVQcC+2JfTN4qbCwwGzgIJ5xrck+uQgczAM+JvoATTvQl661krkjwu7zxOu8AM4ooT5jttW53aIXWYDdxTUOsGRnQWlSPArYQmPGbGZQuuIGSK/7D+1nauV2g3w+9+XzIMjjgWyYi8s+EXW1Ua1D9LbDNkRFm7zwTtIT1Dz66cWldkfkD8JiIfIq9T5s7m7jd4jvTPIlt5B33fI9ijVkdCAzGbQEVjES+b/TLaOhVTIKtHPgo0f5ljPD6+xnsR6bDc5gXuBT6xUAAACAASURBVOPXYWHIFcBlOOFc6uhOJdcSm2jov9ieaCcs3LwuwcINbe9FYULbyfAUoIoiT9iIDK51e0Yr9GmsFCVxiDUjIzoViyRdIope+R/6/9xVFiEZJDc12Fjxy8W62QFBvo52A2zVvAiR45Mc/yGqQ594mms7r4UXN2L/6X3k+6Qt4QqIqn6iqmNU9deqeoiqLir2mB0F35m2Tbwv7MR7PNHQ7ZigQz/g42JJ/sWswmYGI5GGcFE0tBAreq8DHsEJb52FzbGQZ4lNNHQP1uS7N43LSC6kkN1sEnMkplh0RxHHaKDxtf6oA5bMHID9vf8sVTIkZyuq19+5LcP+Oxztu5o+Cp8iUp2NFOBLG7HT4AuovXkH6tQS3B5wm4gnjBoMWaaX9V/JOXUCB4znl1hLuAcTtoTzafX4zrSN4ZZ1HIolUCQPg0ZDpwJvYbVx61ZhMfuRC7IUXk/E9Vgm5M1NfhMNfYY5lhJgMk54UBY2IX+hgz9gGqmjaMjU/APpeormQTPJEzbFrvX/MH3l/2u2cVsBWqHLsJ6ipcRIW+bCOe/q7N+cyCl7j4clnanDepYuQuSoDOeysL6ECy7Ym9KR5/AZDU3Ev0cknKirzeyb9XaEjyID4eYdWI1lgS9K2hLOp9XiO9O2xwlY7dpzGXxh/wbL4DsAJ+yp8RRS8u9ILOEncTlQNPQsJgPYFevNmfIuvzoQ6E4hhQ5Mhu8HYK9ZQ85/lMKFtpPhdd5pCVH6XbFrfWDMte4QaIXeD0wBRkuVnJunrfv+vSEf9b2Y0snDmYxbJ4rIx0j6la9W6O1AZGZfNpdK7qChifhZwAJEEiXG7QWsvWAvymb05hGsTVzylnA+rRLfmbY9vFVV+i9s27/8NVZofglOeDwmvF4HVOYziepA4CjsQ596FRYNXYl11zDh8NRcg610C1M/GSN5+HXXz8a7zxZrVep13vkmGInMKMYYKUl8rTsSe2PZzTdIlfTP09ZelLB2lxPZ/vFN2RKTBtwCmInITan6psbMpQ64Uyp5EatNrcZC8S/HNxHXCl0IXITQaeR5bIK1hPuaNC3hfFoXvjNtQ1QHAutjtaxfBCORzFSWoqFF2GqvTtGH+65xBgBv5iy83oCX8JG8/2nDHI4ApgJb44RTiel7QgfX5Tm32LGXLSpdsNP88jmU13cmOP+M2oLZboyXcNRyX3wx1xp4GCc8psXm0sysc0i2J559dm8SW8HD+Aeqm2ERoRrs/T4PkaTlSFqhs7GITDnwops5nLKJuFborViZyjZSyc6Ydu4Z2OchYUs4n9aF70zbFt7eZGVWZ0VDEazZdMmeiw9h2Or18woDVgcCQ4Bfkd0qbDtMyiyIE26iulJMoYOJ/Z8+GlFGrRoN8CpOeFgh7cd13imWPGFmxFxrsturbvNohf4VE0/ZWqrkpDxtNTi3Kjke1QexFeZzWILcfxB5mSRyfFqhV2NaR2OlSg63J/WzNE3E98JuhO6WKunptoTrC7xIkpZwPq0H35k2M7n2NHS/sPcDlgcjkaezHbd64F2vfdrtfS2llLFL934k3f5lGm50HzOvUbPenJtjiVPX4oQPijvCW9EVY7/xVKB+9IotLsWyLD/CCTetA8yd01y7WV+XohANPY+1BOuCZTN3pObUDSHWKsm3u068c6tB9VBMMONH9/c/I5JMcWsvrMTrQamKqTtVvYmmTcSf1ErmA1di76V/uceuwkrvdgLm4baEe1LkPr83auvCd6bNiNeDdGhZtxFDS/pk29PwHCxs9HiOw18V6fGR/FwanYq1inov3QmJcJ36bzH1mYezOjkamoM1D68HnsMJB1yb/TFH27jEpgDE9hTtHL3gOqwh9ABgSgHLSDxZwgtTHtWcREPXYO+VnK91W8QNsVbhhVjzt9XYuQGoTkF1GBbKLQFuQ+S7+DpRrdDvMYH9bsQrgqkucZuI7441ET8CWKyVTMMNBUuVHBpz/NuorgdcUw+djoQTv4QRo3q3XG9Un8b4zrR5uQboduuoTbh5o5F0oxwy72l4PlbWcXGOYx8HrH25/7NbYyn7W+KEn8jBzinYiufZnMo/oqF3sUbPpcC7bh/SG7DEoxtTnZoj3v7rH93xj8ecSwDTJs2LmM47xZQnzI1oKEh+17pNohX6F+B7YkOsudu6kkTODUD1Siz8+j+sBKtJnahW6IWYItg+UiX7Nh1AX8dWqbdhn6tHV/6FmmGLqQcebrSiteMvHwqz1/WDWwI7WffkluiN6hOD70ybl+EbdOlCTclq+qzty0d91vnFlD0NqwOBADAM+DgYiWStWBKzH/mKux+5HRYyOhInfHmW5rxJ574Ki4YewhxoD+ATdF2JTUGFDtyeotsBc4KRyJSYX+0E/AT8Did8ZZ7DePvYFXnaKRb5XOu2zN4kCrHmhheuTeTcFqK6M9a5aCkNdaKxjndf7Eb4SalKIAJhHWbOxdWM7lrHJtP/itwykW4l9TwXf/gcGLodcNhAmDIY/nf8ul81W29Un6b4zrR5mXn0oEGAIkuGsXHZQF7odRqk72nofWHn+mXo7Ud6q7NaLKy6CrgKJ3xIJkaqA4ENsJ6InwUjkXk5zgV3DhcDL/3Q+ZvhSNGEDhKX2jSUkawErsAJH5mL8ZjOO0uDkUjOwv5FpeFaryaLa93W0Qr9DriVRCHW3Gz91bXVxLnZQfovLFnoXuwm8RlE3kdkkFboZ8A9mNB98m0a1Vmobg78XmDVee/B3BvZ76YdJb670UyA5+bDtuMwZew9G573aRk6nDMVkVK3Me4L7s/3ichUEflURJ4RkaJp6vYpK6vcqFs3ltbVsU/0UWbU/cz+5Zsyufe5nyU7pzoQ6ISJDywKRiKZ9W9sfL4n+Te9kfB6NDQP2AW7434GJ5yJFqnX+Duv/qcxHPBZ9w/WoLDPwsPyLdVJxLEk6ylqkoc7Ygkmj+GEt8zBfiE77xQPu9a70nCtkzfCbkdohV5AQ4g1cTeXzLkAi2bsl9SWrTBPxepEvwK2AWYjcjVW5hIFDpUqGZt64vqIQJ9oV14ZsAr++A7X14u8iqxLqLoMuxG0BpBrMPHOTbgtz9eYMSKysYh8EvNvqUh+ghltnQ7nTLFEni9jfj5PVTdX1V9jd3ahYg18x0YbBUpEeHPx4sX11OvWi66fVat1q3fuNOoAnPBxSU67FNtffCDHYZMLr0dDHwK/d+2/7e5fJsRdhe1DAVdh1QPvGrq8dGl5j7pe9f3qnCBOuGB/++pA4EAah7abEg1NxRRqSoG3cMLZqs14nXeKIgRRUKKh92m41u+mutbtDC/E+lTCEGuGaIUq9v73wrXJ9XNVv0P1V5gDrQUu00p+Cr+47n3yvFSlEX5QrXVW6t77BXluVi8osUSlBYicp9ZC7hRgBnUoLzAfAY4q3ndX0+np16q6hapuAWyNOfd/Ntf4rZEO5UxFZCiWWr5OSk9Vl7q/E0w6rJiaqicCdQcOGDBQVUsW6IrhnaR0DLZ6uh8nnKgo+0xsRZHratATXr8z4W+jocewJJ0ewKc44WRfEudReJH4GxEo1dILsfvr23HC4wpk29sLTS0qEQ09jWV/dsNef0ZfuNWBwJaYPOEHRZQnLCyZX+t2gxtivZd0IdbMbf0D6JWRLasT7Qe8AKx31gf84917mN1lDf2A+zMZc9JGHDbifBZcNg7q7UboFkSmKXzi9k4u0ak6CMmze05+7A5MU9XmV/5qRXQoZ4rte1yEOad1iMgDwFxMDi6xzmyeVAcCe2AfrDeCkUiDCo8V2R+KXYs3cMJDYs7ZHitteCcYiazIYUxPeH1CGsm/S7EP/FDgP0mOOpcC9D+NmZvgNnje/5u3bsFWEACTcMKZNWhObtshm56i0VAl8CwNmZmZ4K30W/+qNJbMrnV743RgAZmEWNNzmmvrcKmSndMebXWiB2KB2Lnb/cSQRdfDaR9wvFRJ2q0Fd0V84LW7gHMRi9VtOQd8jsgjMZnDhemekxtHkeeNSnugwzhTETkAmK+qU+J/p6onYKuML7GVXDHwVIeaihJEQxOwL+UuWMs0L2PQC9HGJyBkiie8nl7yz7IRvwJ2xgnfE/sLdxU2BPgwGIksyXEu8TQWOoiGXse6unTCakATKstkiLdHmk2pzeHAZ8A2OOGU9bMxnXcWBiOR13ObYouS9Fq3RzyH5P6YPsRaDFuq76I6GLimcx31d78I397GB2tKJVED+/gx3wWe/Lkb/Usq8ZrCLwaOARYjcnhc95y85BSzQUTKsfdT6xAsaUE6jDPFyiEOEpHp2Lb9OBFZF7JU1TrgSWyVWFCqA4He2L7Cj8FIZGrCg6Kh64DHsJqz96oDga7unOcHI5G3cxjTE17/OhiJzEp7gonCbwX8DJyCE45VdfGcehMZwDzwbhAa6majoTuAu7D8xER9WDPlCFKFthNhr38bbNVxLE44VelPITvvND+pr3W7xHVIj0PmIdY0tp4E+pPte0D1coFffNmfRaMWUdqpnm8R+UcG4vnjgSXAiVLJXHfsu7DI01OIfKgmqj8FCOTbPScL9gU+UtX8svvbAR3Gmarqpao6VFVHYmGJ14FjRezO0N0zPRC7Yy80Xt/P1Nl20dAx2Idh85GrNvwYuz535zimF4a8OuMzoqFV2JfsGuCvOOG93Gzi3SjgKixG6KBpiU00dCbwX2BD4KUcbOfeU9QkD7fAHPENOOH9kxx5KrZV0FprS9OT4Fq38Iyag2Mxh5RRiDUNDc4tW1uq80b/gUFHHM6qZeUAnITVph6Y9JQKrcM0lwFekkpA9Uws5PsFdrM+e9G1vFVSX7DuOZlwNH6IF+hAzjQJAjwkIp9hIb7BNCSuFJIgltXXtIl2U3YA5v7UeebGKEoOXUjyEl6PhmZgReoAL3Sr63Ertgq7L9t5pMD7OyRLltgNmAHsgxNumoWcmivcx9w0fqOh2cA4zFk+jxNuJBFXHQiMxaIHkwvQeadlibvWOOG0Ice2jOuQvKbbE/MM9zZ2blna0gqtfSbAUX0vhscDLMeSmiYg8j8ksRPUCn0VN5kJq6EF1emoBrAbvNo+NZyz9FpW7zQj/+456RCRbliFa+La2w5Gh3SmqvofVT1AVetVdSdV3UxVN1XV8V52b6GoDgQOxTIJJ2a0UoqGal/q+9Q5a0pqGLRmqATnnxEvCJ8J3n7kUzmcC9HQf7GkjU51rD0TpZ48+596ZCR00NCHdBnwR5zw8RnaHoaprH2dV0/RaOhtbLVQBryPE+4d81tvP7YlGoAXnphrDXyY5151q0cr9HVMZ3cQcHuetpo6t+zOn1BfymvBw+mxx7H8HfgOq32ei0hlktMOA1YAZ0uVbNRgTO/FtkcmdK+l5+QH4KVH2HrY+XJ6tvPKeP6qK1W1v6oWKo+iTdMhnWkzU+k+ZpIEBMDiTgsvRGGr5dvXA09mKKgQy0Vxj9kTDd0zvfO3z9aUrJb+tQPXBOefsTpnW405n0xKbKKhJVhz5LXAfTjhHTOwnX1oO/n4D2Ir6J5Y5xWpDgS6Y/1C5wYjkQ/zHqO1EA3dg6lE9cZ9rS08o2JzKOaQzpKqxuL0OZDYuWXOgcDq10ZxqlSyB1YHb1sIIrMRadSTViu0Bks8EuJXntbV5mBguzph7r7T4NvbuWtRFzk/h3n5ZInvTItIdSAwCNgU+D4YiXyX4TmWrCT82LfOORYLsb6DE85o/yNmP3JqvsLrb/d+dTDA1st37gJkrb6UBK/EJn0yUzT0FRaWKwFejy0biqcoPUWjoQuw1z0CeINk8oTtgWjoD9hrHAVMbOHZFBWt0Fps66WpQ8reVnLnltn5q4CTsff4y6jejiVJTcKtY0bkeaRBE1gr9HnsWo2UKmm6LaX6flm9Dn52E94oq4e+NdyMyDdITs7eJ0N8Z1pcvJXSdSmPaoyXrHQr0VA19gXeHVsxZFJkn24/MiNiV2ED1g76AdgLJ5x1KCvOZvZCB9HQv7AVdmcalw3Fczr5hLaTsx/wLbDrNkt3OQ1bKWdzPdsSuwPTgb1xwpns77dZtEIn4PYTlSrJOi8hzlasc6vK4fzHgHeAjaVKLkZ1Bar7YnKfUewmcTEiJ8acdiCmt3y5VMmIRHYP/VLHDT2f6W8PBbWEvq8QuT+2q41P4fCdaZFwV0qHYm/4bNLnvWQlc1zR0OXABKzOc3KaMb39yCXBSGRC9rNuxFVACUIY279cCpyLEz4x9Wkp8eo+sxM6iIZuxMLCDvB+kqO8UpbcQ9uJx1Zgy3rqVmywenTnTZdv/XVSecK2jr3WLbBrfX6e17otcBD2+bw0mUPKAs+5/SlHW/timdVXS5UMAkB1Mra3ewO2NXIfIp8jMlIrdAWWdGQr2iTM68meO51M/e+OYLVaDsIJWEPzDtHwoDnxnWkWiEgwi+72x2HyhP/MtEQjRbLSIVj6+w444VQ1cp7weiEk/47DW4VFQ8uwGsy1wL044fTKL3G4Qge/IdcSm2joWOBD4Nc44UYF4tWBwCYUs6doNLTipX5Pzainns1WbjMaJ7xbwcdoLdhe9Xbkca3bCq5Dagix5m8rrXNLcf4SbL+0seiCiedfjLVg/AjrwzsNkTu0kkex3rwbS5UkTIhzO97c8vxoupT/if9hNbY9gX8i8s42Iqdl8Z3mkwLfmWaI+ya79+Le249Yj26ZdLf32qVlnHiEacQ2PcdWDGOAhcAJOOHzkpxfEOH16kBgX6yd1KvrVmHR0DfYnXwJ8CpOeFiWZgshdGCZjnAYTrgy5nkvnH5FkzMKQHUg0H9p2eJfvdl74lxBwCQPRxZjrFaB7VXnc63bDG6I9V28EGt+th4hjXNLc/7dwFRgc6mKy8JVnYPq1lhd5ypM7WjhN7dzIxbJulaqJGGjBq9B+doy9pVKnsbEXL4Btn8H7j5oC0ZgW0vpvtN8UuA708y5ZsuyQd2u7RTkG+cKSuxPl7C7fXUgMBLYAPgiGInMycR4dSAwGPeuM2GykhXZb40JCtyME94n7nxvP/L9Agive9mw8U59IhZO7Qx8lGL/MhGe0EHWe0ox49difUhXARU44cPd0PZeFCa0nYwbAJnTedbV2A1LOfb6uxZpvJYnv2vd1tgPc0gNIdbc2Zc0zi0Ne2NRgdukSno3+a3qE9iNbjXQd8OfeWb6rczotYoy4JU087KON5VMQ3XjC2DhVWNhwiGww37rjkv4neaTHt+ZZs7w7QaW8mP5D/TUHrzVe51aV6Lu9l7yxl+ysO9J9jXtvelhRfZ7uj9NwAnHZucVRHi9OhDoi+2bzQxGIl8kmMNNwEPAAExDN20ZRZzQwap85kc0FAXGYn1IH+9d2/dmCt/NJp4jsf2sO4iGwlij577kJ3nY+snhWrdFtEIXkSjEmrut8yCtc0t2/jxMU7ucZFnVqrWojscqBX4YsYQNFtwIl7zJFlIlpyax63XP6YXJqXIz9Lv2f9ClBt7ZBvuEGom+03zS4DvTzJm5ba9evNZjIp+v/YkdOv2S+3uMh7ju9m7i0QHA8mAk8kQmhrNKVoqGJmOiDJ2AD3DCPWOE1xcEI5E3snxd8dyIhXySZ3NGQ8dj4awA8EwGNgsrdBANTcHKEUprSmrOdpWiitK9pToQCBIvTxgNnYYlg22MCQC0X7K/1m0SrdC7gE9JFGLN3tYdmKJaUueW5vzrga+BHaRKxic/UCOorg9cWFZP7bWvw4xbuHvK4KSdcbzuOYe5HW9mrqmH1d5VPWbdcTMTnOuTBt+ZZsjpv/jFpM4lJXy4YhlbL76RBfXLOb7zdvxfz1PjM2zPwe4qs9GrPAFLVnouQ5WkezGd317AVOoLKrzurcLStaLbCfgJ+B1OOKkEY9GEDqKhJ2Z2nnbv6pKV0nftgNrg/DNWFsx2Y7x92Pi9792wL539ccLJowntg4yudTtgLyzikTjEmh17u7b+lqOtvbFtkX9IlaRWpVK9SaD/t/2YNmwpstVc3kTkKaRxM/S4jjf/RwmXASv5FpiGSXbsYc3Mc5hvh8d3phkytk+fcarKE/PmzVrDWh2z+MZZ9ejagzpvNh4nvG/MoedhexPZJDN4q6rMV27R0LnAq8Avd19y0IWQv+RfdSBwFNY4Or1IfDRUh+1frgSuwAkna113NUUSOnir9yujENhy+Q7lZN6HNGNiOu9800Se0F7/FsBy4CKc8LGFHr/VkPm1btO4IdbLSRVizdzWHBrCtVk3bNAKnYG1bewC/F/6E3TZhgt1gwOC/LjQdvIPx2pTG70vG3XP+TN7AKcAM3gCpRZlJ8qoJOsuVT6+M80IN6FoQxH5ckFt7XBVLZlet3B4qZTshjnOCTjhjaoDgQC23/BJMBJZlIXtrJKVYthrLWt/GlQ7pHyHJePmFEB4PTuR+GhoIZZhWwc8hhNO1D3jeIogdLAutK0sXK92aATYDif8YCHHoKEuNnFCRjS0CFt1rwUexAlvW+DxWw+ZXes2jxti/YZ0IdbMbF2HCX7sKFXZZ8hqhf4Ji37sLlWSkUb3SxsxdtCF1N++LWvVHPHDiExFJDYj2+uecwKVfKmqI7VWS+hEEEtX/3e2c/XxnWmmePuHjUNc0dBbWJZqGfBBeX25pxCUTZjEOyf78Fk0pM8PeGjWGlnDyJqNhuCET8nahkt1IDAEGA18G4xEpmcxh6lYun4p8BZOeF0aQ3UgsD8WPPp3EYQO/gyUItyLZTkvBI7DCRdEh9Tdxz4Ekyd8KOmB0VAE2+8uAf6LEx5ciPFbJSmudTtjLzINsWZnK5fs772xG/bHpKpx2DYRWqHT60u44Zz9KNvkLN7C9oF/DUxH5K+ISFz3nHUdb7RCn8AiPBtIlfih3ixpc85UREpF5GMRecH9+TER+VpEPheR+0XSv+GyIW1CUTR0H+7+5T4/H74n9SwKRiIZ6di6tvdzbT+Zw9y6rylZs+0rfZ+bL0gt8HeccLLkg3R4q7DsReKjoaexkpduNJY99GTaitFhxSu1qXT7kG6JlQ3dFBd2zxWv887T6Q4kGpqAheq7YK+//ZaRJL/W7QY3xHodmYZYU9uajmXqd83FllboV8Ad2PZLRglgWqGXArO+cdhFKvkT8HssufEcIIrIuJjuOesBf405fX8sZ+JKqZKi3hiKyHkiEnG/ux8XkS7FHK/YtDlnir0hvoz5+TFsX2sz7A17chHGKweSO7to6NwlpYum9ajvxX6Ljlyeg+1cm+teA8jSskW3YUX2YEX2WcmZuU79t9ie2MM5zSQaqgSexXrCvl0dCPTHZAgTl9jkQXUgsCtWrtHQUzQamgXsQUzYPc9hPFnCC1Me5RENXYe9Fx1MBKD9EnetW3YyxUEr9HKyDLGmsHUpMAvYU6qSNwBPwdmYWMlBUiXjMjxnH+yzUC2VPIG1Z3sG6A+8hsirbzzAcVjHmz943XNcJaYQBSgTSoWIDMFe1xhV3dQd76hijdcctClnKiJDsTundVmrqvqSumC6rUMLPKyXUJTyS/XFvk/0WFayhD51/YbhhNNlwsbbzlV5xZP8u55oaBKWcVqO1QRmE1I6BbsLfzZT6cMkHI6VBGw7uGbYu1ji0Y2pT8kJb/+18Yo3LuyOE+6Zi/GYzjvZyRNGQ8dgkm9b4IQLLbjf2lh3rXHCud2AtX6yCrGmocG5ZWnLzcL1ZBWek6r0QvVaoV8Ad2Ir2qfd2tTDga0wx777b2Yw7+WHeRL7nE6KOfde4GNgM6mSs7KZa5aUAV1FpAyLdPxUxLGKTptyplg44iIsvNcIN7x7LIVrFUamCUXVgcD2lDDo5X7PvINt7Idwwinry2Jsf5xpslLc+d5+5Csxkn+3Ytqb/bFGz5kW2XvOPLNVWDJM9nAbYEG005wNRKUOC1EVjOpAoCemHTsnYalNTNid3HtzenvkFTmcuz0wDzgcJ1wUecNWQcy1Bo7FCef33mmF5BJiTWGrsXPL/vyPgQexz3ymNy9/wN6LB0uVmJ606seoDseylmWv7zlx9k2sCsxjRFz3HE+J6Vapkr7ZzjcdqjobE5qZCcwBlqhq1iIXrYk240xF5ABgvqpOSXLIncCbap0WCoWnKnR5yqNcUYI1JWsuwjR0a4G7ccK7pjjH+8JOZzsZ3hs/XvLvJKyd02jg+XRGqgOBDYD1gc+Ckci8HOcSO37NC/0er1xbspahNSNLg/PP2C/9SVlxFelKbaxs6N/Y6vLVbIzHdN5ZGoxE0v79Eoxdi4W3VwFX4oR/l+aMtovtVW+B7VXfgBPev4VnVAzOxhxSNiHWZDR1btlxIvAzEJQqSZs57q5ovWvyrJdoZL/Ua4CBwJuDl9P107vgsWe4bPh58kv33Ch2k92JAi5QPESkL9Za7peYDGp3ETkm9VmtmzbjTLHC8YNEZDomhzVORB4FEJEKbK+qYB3lqwOBTtge3OJgJJK05qw6EOgK7AxEg5HIW0RD32EJSwCvJNq/dG3vDpknK8Wd7+1HzghGIl8lOGQsMBs4CCecLqHIc+qV2c4jGUvLFodQ2HL5jvXA8zjhTQplm9jQdmr2xkrRx+GEs6lxPZ985QmjoXlYL8p64Cmc8GY522rtREOzgXHYay30tW5x4hxSRiHWDG01dm6Zn++1Tnshk/O1QqcAj2Dyl41XtKqLUN1VYL/aUlYEP0e+vINpiBzpnnsL8BWwrVTJcdnMNQP2AH5Q1aiq1gLPYaVXbZY240xV9VJVHaqqI7GN6tdV9RgRORn74jxaVZuEf/PgEiym/2Ca467E/o53rXsmGnoFOJfkguiXuraTl1yk5gZS7Udakf3mWHLBZTjhhDVu7ipsX2wV9lyOc4m3aUIHwjc96nudhL3O93HC+SrKUB0IHEh8aDsZbh9SLOx+Fk44U4m4c7G9rUvymCpEQx9i2w6lwDs44f552WvNRENvAwW91q0J1yE9RHYh1lS2Eju3zM6fjCV/OcR+56TmOGARcIxUyZimJ95k1wAAIABJREFURnVi5zp6Vm/KvK61iMITiExBZDANqlB3F6BMKJaZwPYi0k1EBFtcfJnmnFZNm3GmKbgba6D7joh8IiJ/LpDdM7G77T+lOe5E7M12VaNno6HbgfuAfphDjb2LzNR2Mo7EQmt3Jj3Ciux3cOf2CE546wRHnUfhReIbhA6ioQexlW9Pct+/jMWrxc2srZ31YfXC7nemCbvHdt75oACddyAaqsYyrrsDn7THMpJ1FP5atzasqXaGIdY0pHZu6TkSa+B+qlRJ2qiHu6L9rfvjSwlXtKo6/jB+tcHZ1H45AMVNVNJKQiX1XI0lKBZMh1pV38P2oT/CEtlKsAYSbZY26UxV9T+qeoD7/zJVHaWqW7j/8tYOrQ4EtsXqr94NRiIrUhy3B+Ys3whGIrVNDoiGTsaKoDfBrTGrDgS2x3X+qWynGLOp8HoyoqHPsA9eCTAZJxzfXuocbBVWkAJtt8TmYGJLbKKhC7A9lxFAziL81YGAg+3PJQttJyaDsHsM3o1A4UTzo6HLgQlYlvmbBbPbGinQtW6N5BJiTWPLc24v5hDurcM+10KGsodaof/FQqkOSZICtUIX/dCPcwIh5Py9mIndhF5UdyWn7zGNn4DdpEoOSXRuLqhqhapuoqqbquqxqpqvgluL0iadaTPgfammK1m51n1MJUqwK/AjcCBO+Foa9vpyDSN6GaKZ7Q9HQ89iWaldsdVRJ4DqQGBz7Av+w2AksiTHucRzGnYH+3Sco98Pk1XbFSeca3av93e7KeVRiUgfdvfkCX8DLAxGIq/nOMdkHAJ8AeyIE76vwLZbG4W41q2SHEOsyWx5zm0gOehWa4VOwm5chkiVZFp+dhSwDDhdqiSQxO5dwKe37sjw/hdxIXYjOPCVR/jFpEfQHqt5VKqk/YqS5EGHc6YiEhSR6SJS7z422k9sklCUhOpAoDcmY/djMBKZmnTABpHwFWupvQRlLDA/le0UY3rC618HI5FZGZ8YDV2JpeOvh2X6QoNTym9vsDGe0EHjm5CG/cvFwJk44TNysH0EFtrO7Qs6ddgdKGjnnfixFQs3LwROxAmfV/AxWguN96rPzGKvuq1wJOaQTk3mkLLAc25n5GjrECwKdL5UyfrpDtYKrcXkIBvVlSZgL6Du527cLJX8HthO4Ke9pyELbqT7la8zJd33aEekQzlT94Lfi4WhxH28N+6NUIn9Xe5OY+5a18ZtaQc2QfQdPu3+QT2C9Krtm6tEWT6Sf0cAU4Gt1zp/fRxrIVawVViM0EHiEptoaAV281EL3IETzrg0oDoQGE+moe1UJAi7x+DJE1blbD/12Kuw118D3IwT3qco47QG7FpvRcNedS5lIK2SuBBrXiUjWTi3ZOfXYI0kSsiwEblW6IvusUOlShI2n2jSPUf1fVSH1MOVpfVwxZsEvi3j0Y1Tf492ODqUM8WSQbpdud6WXOWsyyHoRuOuICdjSTt/SWNrPPZlcWua44xo6LNvun22UlTYZ9FhxyTYv0xJnPD6I9mcG8N2QDTSbcpR2CqskCFHr8QmeQJYNPQ9pgQDMAknPDJD29l1s0lNfNid6kBgLBa6mxyMRFYVYIzEREMzgD3dnwohedh6sWvt1Rhnc61bPVqhEzGpvaFZhFiT2Urr3NKc/zTWqH6UVEmmIiGHYHXQF0qVjExiN7Z7ThCgRLXisCPY9e0hMGot8gWmEOM6kfjv0Q5HR3Omw0uADfquYaP+a9i706/WPQ8ZJBS5VAcCv8MUdiZm2g2lOhDYo17qe/So6/VdGWVdsYzHbGTFPOH13GXqrMh+8++6fgEqHLzgmA9ythVDVkIH0dDrWCF80v3LONvDgI2x0PaMVMdmREzYHbgEJzyehv3YYgjyx48/GbuWnbAykpwkD9sE0dCrZHGt2xi/xRxSRiHWNKR1bmnYH4t4VEiVDEl3sFboKqwKoYTU7da8jjf3eR1vnn9C39xpa/Tgo2BZmS2Ld244fngOc283dDRnOnP//v1RUUau3pAJvU5jwxIHrOYJGu6s0n2peqHAzEo0jGsBlpUtOQwTzR9EdoLoF8U95kT1wLtG1ZSsxqldj+71PZ/ACee77wPZCh1EQ2EsDb4v8HGaMgpvbzf70Hby8Rfhlg0p+nDfNc72wNyE8oTFIBq6F0s66U3619+2ye5atxlch3QCWYRY09jKxLklO38ZVm6XsTi9227tLazdWkIVtrjuORPW/WICM/81HPpcCkf1bZSiPjPeRkeioznTy/bp10/rVfnHnJl0ooQP+1zI+iX9r3QTisYAs1MlFFUHAoOATYHvg5HId5kM2iRZKRo6CvgE2AonXJ3B+bkJryfmOgSGrx51JfbhexcnnK/2ZvYlNtHQaVh4amOS1K/FltrkEdpONv5nWFJTyZ6LD5HetX0fKKj99OP/AXgNGEURu3O0CjK41m0RrdAnyT7EmsxWXr1EtULvB6YAAamSczM8bT+s3VpVsnZrMd1z9ojpnnMZT7CaEniqoUfXSgpUYtdW6VDO9LHRo7/pXVYmM1avrrmn5j29d/Xby3qVdGVav8rL0XUJRX9NY8ZbKf0/eecd5kZ1tv3f2eKKGzA4EAKG0AewaYYQSuiY3jGihhbKJCQQCCVBFi8llADhHUICgUB4EQFCCf0DAqGEaoqBoYeYavDEGPe2u+f745mxRlpJU1fSkvu6fMkrzZxzpCPNM0+57ydMzi6IasVK44HpwCEYdtiX0M9HpvrBFk1zKOKRfbH2J3/II0pKy5BCUMATOvg2InQQl2KzHfJD3R3DrvZ5nkDUnqJJ4Fp3vTHkpYXttLPbzIOPjhl2zwI7Af8GdsKww753/R1he91fESvEGmGsNL1Ed0HqOC5RBRWquOV5tH67tXredVn3HK11kY85hneZx1BgX+YCx2mtQx2DbzL+q4wpcIlSitUGD95Fa912/NxbhyPewertuuN4QgqKPE9pf6TR7nUx5j3MG/s3S58RQfRx3lgXYNhVydCBfOSsnOPcW+2YGDgf2XPbW8MvgAeRXEdSkn1yoQPJX44D5gJnYNiHVxxxesVjpiia5u5vLvPyoC86P52mUKOBF/pinpoQGslYRM3mFAz7uIbO30iE73W/hGeQTiaD/p8VvURjh451Xs9A0kCRxekD7dbWVwVl1TimV/ccrXWRdRgBzGIsQ5mEE3e93zT81xhTj5S/DfCfnOM8GXhpp6kD3/uyu62rfdSS5T8JKSg6EhE/uDsqRaNomvsjEmsP9TrHtaYh1aU9wF9r5C/TC6+X4IvEB6sG9wDeBbbGsP8QZ7BMhA4kf7mFt64bMezx3thZhrZr4XyAJ0bdvyMSdt8Iw/5LH81VHSJ5uBlys/UHDHvrhs7fSNTY6/4OndfXI7J4cUKstcYKNW4h51+JCIRsqgrqqIin+e3WLq/Tbq1X9xyPJnQQEnWrLlP4X4T/GmOK8EfbqdR/dC397PC/z0DD92fttHqId+CHY+N4SpO8x+rFSq71InAEtfOXvvB6Kom7omlOQIpAHiu7YRDvaBNEK/R4DDvODzgboQPXchCPvw14EsNeEbg8MEfmCHTe+TjnOG9RCrsfjGEnbYuXDK71HuDnox7FsL/T0Pkbiep7/U3AzohBihRiDUEU4xa2Fl+cPrRaPEq7tSodb9q95x9BolsrkUSd7BuE/yZj6vNHy7R7i6Y5GsV6irZPhveMrOkdFE1zDLAm8FbOcT6LMmGgWOlfdYuVXOsWxFtcBnjdz18GhNdfzEB43a+G7W3USyT7xcBVGHbUvo3ZCR241r3IDcOgHnqmoNmZbELbtVDeeac87H5+rbB7n8G1Hkb2ZiBS9fpNopGUI7DXBCQu+zOShFjrjJWql6jO68+Q69xA4P6I51yOdG2p2W4t0D1nJOUdr/ZDCpB+qgpqjbjr/abgv8KYFk1zW2B54Kmc41SKKV8KoFXP+ZS8g8eqCKL7+c4wMYcgohcrudZZwAOIXu4/gmsjvVc6CjEUvhdWbf6pSDs2EJJ9Xe5cnwgduNavgVveHvyagcq8m00lDkZuHkryhNHC7n0H17oC4cEvB0z+ptBIqkL2+lZEm/bFJq8mE+i8voL4IdZaY6XqJarz+jzgQ2AbVVAHRjxtF8Th+EOddmt+95xD/e45nhLT4WRAE+rP+K8wppSMWVl41isoOgC/oKjkHQwAXva9A++4PYC5OceJlFOrKFaKGgbdE8lfbtVjXPVHSvnItB04Lka8sN/UPUoEFX6M3BG/jGHX61/o511T8V6rrOGwd4ZMWYKG/aYf2SchwLqdd8LD7n0L1zoG0U9eD7i7oXM3Gq6VQ3KN4zDs25q9nIwQK8Qacax6xq0edkFuDG+MIk6v8/oTpI5gIHJjX+2Yqt1zdF7fBTwJrKYKalKCtfZ7NM2YKqXalVKvKqXu9/62lFIfKKW0Umr5rOYpmuYwJB/2ec5xXq54uXdBUXXv4BTEwMb5wccuVgqIhM9UqGPWnL9+O/GqhmvhEMQL+98Ia7ga6Ygxkhoke49i4wsdZOpVFE1zk0VtCztHdS2/ZBBD9uuj/KWfh62Vx74FuQEpC7s3EFsDnwF7Y9jnhx3cz7EFUthyUMNz1X2AihBrKk5tFOMWcv4HCDthCBFvzHReT0LoWtuqgtqvxjG1uuf4NKFfqoLqk7y/UuoUpdSbSilHqXTFXlmjmZ7pKZR3Vv8nsCOQXjKuHBciXlk1Q1K9oKjcO7gHaaKtex1XH/6FIY5Kki+IvnEPPWw6dyv2d3/4ZOg5dVA0zYmIUYguEu9aJyF3mWsixQWVuIAgxSZbXIIChToYkVg7H8Ou+qNOgkDnnffqyhO61pn0Drs3BkIjGYvkoc7BsCc2dP5GQnLVY+mDvW4WvBCrb5CihlhrjTWJEOMWcv7Pgc+BCaqgojZX2BW53t1cx6Pt1T1H5/U8RCozNU2oGpRS6wPHIc7RWGAPpdSaWc+TFE0xpkqplZG7mKXhT631q1rrqX0w3eEI7aBMkDpQUPR2jYKirYHPNHqvDeeOXwV4Lec4M6NM6I29BlKsNC3ugosrXPOdJ0ZI3cBAPejesPxlCJKKxG+H3NjsimFXVulVo9ikhke12RaYset7/7gboTL1ALdj2BtkNI3/PYgiyr007I5hXxt2cKZwrRnAlkiY7/8w7E0aOn8j4Vpf0jd73Uz4uraRQqwhiGLcopx/m1+FWw86r99DBGaGIB5otWOqds/ReX0T8BKwriqorFsNrgs8r7Wer7XuQm749w05p2Folmd6JZJr6+nLSYqmuReif/pIFf6onz88j2rwvINuurvN+Ruz5dc7xkms1x87HBdPH/g5/+n48iIkf/lKSP6yKoqm+W3Eu34/5zhTY51cEhSYA5yGYR/ljbk7EgJ+NKrIfwycS5Bq41qTkZuhduA5DDsV5SDYeQf4c+gJgbA7cByG/ZM088eGa01BLljtwNNxOw31K2S8182GF2K9khgh1jpjhRq3kPPfQNJFw4GoPOpTEY92d1VQO9cYN9g9J1hkGVRiMuKutw7eBLZRSi2nlBqCyCG2DI2s4cZUKbUHMF1rXZm/7Av4xqzMK4taUFRc4ZrZ/2/UXVqjGbN4zdOjeAcVY8cuqgjkI6cZ084/G6k2HYF0mYlb3RnHC+sN15qFhFS6gOsx7C3xhA7omw4rPtUmH1hDEVn/UFLIHnrwO+/cESPkvYASbehKDLvqhaXP4Fp3Ip/HYL4hNJKayHavWwFJQqy1cCowjTrGLQQnAP8BDlAFtVXYwV6h0W6IR3tHHY/W757zc797js7rmd56O8gw3Ku1fhupZXgU8YanINemlkAzPNPvA3sppaYid0nbK6Uyp0AUTdNAPKupOcd5p+LlHxOtoOjMWZ0zOqYMfeF+5LOK4h34xUq3Jlg2SD5SUZL8sxCpv+8CD0UdxDPq+yJe2E0hh9eGa72D8MjaFjL/7+gyoYPMEKAvPd2LvuRa5yBdK1amrElFbPiVx7+IdZbQhvyL4f0YdmO5dK51HqJP/C3g2YbO3Whkt9dNR4VBihRiDRlrAuHGrd75e3p//i2KWpHO6ylIMeZwoKrubq3uOTqvbcST3EgVVGYymVrr67XWG2utt0EoOu9nNXZaNNyYaq3P0lqvrLUeA0wEHtdaH9YHU13iPVZT5TgN+VKGXVRPAnreHvraRKJ7B36xUrwLdglHIXdbwbDJDsBUYBcMuz69pYRjEVL8nZG9sFpwrfuAM14b9sIgFKpNt/829Jz48POvtTzefRAO35YYduym5gF5wjdyjvNl7NW51hPI96ETqfJOQlVIDtc6CLkT3xTD7kv+bSsg1V63EjyD9EfEICW9wQ6OVde4hZz/vLeGZYGon+txiEd7kCqoLWuMW6t7jk/tsTOgCQGglFrBe1wFuclP9ZlmiZbhmSqlfqKU+hS5I31dKZVOok40IxcBvws+WTRNExF2fy3nODNqnVw0zfGIJ/B8znHmVXgHz9U4Jzh2pGKlivN3p1qOV3J34xBB9FMx7KMjDHem95iNSLxrXTp10PtdbbqNg9xjY5PI68GjL20OTKvZU1Q+g02BGcDRGHbc4gb/JuTcpOvEtX5PurB7WmwOuMChGHbSm7XWR++9bikKRAL8CDFIB0YJsYYg1LiF4HBgFvBDVVAbhR3sebR7e3/eW8ej7dU9R+f1NOT3NoDqrIAkuFMp9RZCOzpZax37OttXaKox1Vr/Q2u9h/f/qzyPtUNrvZLW+tiw82uhaJqHI8n6e6t4Zb6nGsZp8/ONpYtWyTvYBMO+pco5/gU7aV8/Px9ZTfJvFnIx7QKuw7Br/iiLprkGsDpJvbDqY+Z6VHfHCotXmtlG24YYdpZt0c4nGNquBclfboL8aH8TNX8Z6LwzO+c496RaacKweyZwrUVI6mIh8GsMe8+QM/ovSnu9GLi84bnqDJEkxBoyVhTjVuv8bkSoBiKK0+u8fha4HeHeV+W91+qeo/P6QuBfwFaqoA6Os9aq82i9tdZ6Pa31WK3139OOlyVaxjNNCqVUTik1VSnV4z3mqMHx9C6qOwJf5xyn5oWwaJqDga0AN+c4z1S87HsHOQz7zMA5nUg4dmbOcWLraQaE1z+qkuMVSP5yL2TfHsOwa/VP9I36pLjrqINfAszu+HpT4AvgAAw7q/F9qk0U2cWPkD6gED1/mWXnHUgWds8GInm4HVKodReGvV5D528kZK939P5qfK46Q3gh1tuIF2KtNVaocQs5/zHEs/sW4f2bfeQQj/ZoVVBja4wb7J4TrHzfGY1mCbeqzrLr9DcK/dqYehty3eptw1cdRIcCVl2uo+M6rfXawLs5x/mk4pSzkQqzG0OGnoR8Nr/v9Uq5d3ARhu3r+Z7pjZ202KdceL0WXOshJHQ7EMnflvHOvBuGCYgXdlfCtZTBo9isC7y3zzsvfAhsiFTw5THsVKT0omnuiYRNo1NtXOtpJHTm5y/D8jF+552kEYPK+ZOE3bODaz0PHI18315ouORhIyF7fQLR97qVcSgxQqwhCDVuIdgfmAf8WBXUOmEHBzxaBTxUx6P1u+dctrR7ziS24Fm66EQxEQWsClz3TTOo/dqYAheOZMiQd5ct8MkKvwQgN3r0ECX7XE2Q/iTkjv6XIeP6HWaqi9r39g5MJMQRZexaOJgqOd4a818G3IxUv1YKov+MbL0wKHm6F3rzu4ioRTdwK4ad5Mfsw6cvnRrrLNe6DrgKMcRVZQ+hrPPOSznHmZVinZXzRw679wlc6ybkBmwZ5KbqmyyKfy2SAqi7162OJCHWkLH8XqL1jFut85cgBrlMdCHknMcQVbBgi8TKY4Ldc/zo34U8SidXvwKPvSJSOZKGS0bZa1H0d2O6yriRA5jZ8R+W71mOe4YdxybDhrGwp4ec45TlNHsVFNVA0TR3REIxT+QcZ0nNmUveQfv0jmkvohkNPFdv7Dpz1hZerz3/EUi3jfWRwigfp5ChF+ZRbPamUujAtV4GDkNyJM9i2LHJ2V5oexz1Qtv14FqnAH9H8pe1+GyZdN6pMf87SOWpH3ZvLIHctX6BXLBWQfK431y41o8J3+uWh2eQ7keuRVekHOsRQoxbyPn3Ao8Dq6qCiiowsz9yLThFFdRaNcb1u+ds5nXPWQWA/6wGX60GXy89dJW4a25l9Hdj+vGeyy/PIyPu4vOer9lrwAZsMn8LXpkzZ26VY32qTFgVpH+3FC5K4HkHU5Z5YQhAm25PesFOKvm3JULk3h/DLhRNcyxSDT05Qy/sOGpRbFzrL4j3PoRkJHvf0KVpKrwTol26E4Zdlv/x5Al/gHTeeTzFHLXhWg9QCru/Uhl2bwB2B94DtsWww6Ma/Rs197qf4QAkxPqTKCHWEIQatxDshaSszlEFVdl2shcC7dbCPNql3XMYwMdyMlJO5i495uME621Z9GtjuvEyy1wxurOTT5csYoOvLmKJWoI5f2M2m7NVmRiDV1C0NdULioLHjUBK8j/NOc6UKGsornDNJLdzGgN7BjHRPT52h4+A8Pq7dYXXq6FcEP3cwd1Db/ZeySY3KKhPsXGtc5FmACshzQriwKcvXR12YE2UZA9nA6dg2EGC+K8IyhP2FcrD7i83NAwp739jRPLwRAz75IbN3WjU3+t+A88gHUaMEGvIWFGMW63z5yHKY21E9PijtFsr655jMR+5RgUxn2yvU01Hvzamp62yyg+UUtz3n/9MHzigSz8y6i40miMHbPVDDHvTwKGTqFVQVI6LkC9lHFGC81Cw2sK1ZwDbYNh/iPUmSt7ZBTHPE0j+cqsuuroXts3fQGk1K+c4jyUaqwIxhA72Axxgcwz7TxHHPpS4oe1acK05wGaIHugfMOytvVd8ecJCqvGjrcEPu5vAX/t8vvK551GSPPxfDHv7hs7fSNTe634Fndf3IKH5OCHWWmOl6iWq8/pm4HlgbVVQUXnpoe3WlnbPGc667Ma1oPzf+UfAcVrr2MITrYx+a0y9XN5uwJxnZs0afdkaazw4u3MmHw585yLkfT0VkP47hnoFRSUcivxI4+Qyjga6R3Yt913EOzgew7ZivIe9gfk5x7k57PiacK1Xnxh5/11aadaev+GQJPnLGvDDr/WFDsRj2AQh2R+FYUcpJvILtbLR+HWt95CQFcCj/1x97/2QfotP5xxnQSZzhMMPu++HYae6QMaGSB5O8P56GMMe09D5G4mKvW54rjo77EmMEGsI0vYS3Q259l2oCiq0oUJFu7V6TUCke854jofhs2HkLK31mG+aIYV+bEwRusMAoOjRQXYGZq3x6e/ORi7+g4Ept687bmeEj1W3oKhomvshMl0PR6VoBIuVVv/0f2dR8g6uiugd/AjJR94eZb56cAdM+wEaveG8zToRdZ5UIuHeZ7orUYUOhDK0EfKDvgzDnlDr0Mg9RePCtR5GuMUDN5u7zW1tPR3QN4L8teYPht1/hWGnJqnHnP9xRHc6caehfoPAXiMVvo3OVadGkhBryFiJe4l64vSnIHSrqNW9NyHRmHVUQVW9gS7rntM575v7faR/G1NfA/csJJ/XieStwLX+B6lwHT20Z5jf/ijsouqHAuNQNC4qG7u3dxDWh/SMisdEKJrmVoCB4qkOOu9EqvvSCqLHFzpwrU8Qkr0G7sWwaxVE+B5v7BxzhDVc0U33TQP0wI7dZh7QlZt+YiO6EwXndxHBj27gFgw7LZ8w7vxXA9cAoxCD2i9pJJHgWlcAf0Julhubq84IXoj1BSTEmurGL2Dc1q1l3ELOvwZ4HRinCuqEiKftini0F9dptybdc9q6Omhb0hF3Xf0F/dKYFk1zA6SP3SueBu6PqaSDuNZBC1nwxqz2r4YM6Bm4oF5BUdE0RyMUkw9zjvNBxDWMQEKb5cVK5d7By7W8g0A+8vWc47jVjokBXyT+DOBA4A1gPIYd3rOzNpJRbFzrGeRuuwN4qZJkn1louw5uW+Har92OLxjePaqDlL0kE8G1XgUOQbyEZzIMu0ed/yQkh7YWQp345sK1jkbyfSaQiUhJEzABMUgXRQmxhiCKcasHvwr3t6qgRoQdHKXdmieBKF2XOucNTdM9p5XRL40pJc/m7KJpboJUkr6Qc5w5wYPuNm56FgXrzdtocFD6rwr8IqBwObsSahcrlbyDkdQmmftCCL+q8lpkeP1Pvwd8kXOcF7385WaIGPbhGHbsu11P6ODbJKXYuNb1yOcynN6C8Cfg9RSNPW50HPnoyLu7NPozYO+G5y8BXOsOJNoxhAzC7gmwHVLoMQHDTkM96g/YCukbuk9T9jolPIP0M2KEWEPGStxLVOf1l0g9Q2Rx+ijt1nRev0H3gMXeny3T6SVL9DtjGtDA/SrnOI9QMoS9jKVW+hA0S9ZZMLZS+i84nkJ4XwuJp3PpFytV12YteQdrUvGlDAivz8o5zr0x5qyG85F9LHEMJX85DslfXoph7x5zzJqfaWS41k+RJr6rAcHq4tMrHjOF13lnJG08qlBjET7frzDsiX0xX1241iQgq7B73Ll9Gskc4DQM+6iGzt9ISK56Q0q56sbvdUrovL4aiSjFCbHWGitVL1Gd179GuMtbqkJkyb9gu7XqHm3X4AVeRW8W3XNaDv3OmCI50nbgTx4pfxvgPznHeTJ40NKCIsXDbbRVSv8FcSRSrHR3VIpGoFjpoZBzfO9g1wrvIEvhdV8kvlyay7U+A7ZH3vc9GHYkcnjGQge7IB0jtsew7YxD27Xg52F/jmvNQLz2buD/MOxN+mjOejgQubClDbvHh0geboF8P67HsLdo6PyNhOz1ljR3r9NiF2KEWEOQtpeoVOHC9aqgBocdXNFurUZqQcHiob5C3D1p5BRbEf3RmPr6ur9CNq8WKX+S93hqUPoPeL5CGNzPCcbxlPxipd6t0oKo7R34wuupJO6KpjkBKTR5rGoFsms9iygY+YLoUX6g5yCfU/qmzPL+N0IEuU9epmuEz7/Mpx76X0CcAAAgAElEQVS7CgKddz7OOc5b3hreQHSP24GnA3SpxqDUm9MPu/eJR15n/rcQHnAb8ESdTkP9H641hWbudUp4BilWiDVkrMS9RHVef4TUYgwCIkXPvHZrHwDfVwVVPTqgO7qR7jnL0ddiKg1GvzKmRdPcEhgN/NPjDh6P3H1NqjhuNLABwYKi3sLg7UXTHIOEYd/OOc5nEdcQr1hJvIPxeN7BB9856Sgkx/tiZY43AXyhh9pG3bVuQHQ7hxNNEP0E5GZlUsq1+fPPATbtoWfJvPbZGyit5qfuKVob1TvvuNadiAEfjHwGnX00f3WUh90vSRB2Tzv/fUjIfhD9lEYSGc3e65TwQqzvEy/EWmss37htVdO41T//HETyb0dVUFF75+6EXD9uqOPR+t1zjs6ge07LIHNjqpRqV0q9qpS63/t7NaXUC0qp95VStymlBqQYfmnVatE0t0Xk257KOc6iiuOqFxSJMPiDlITB/XxnnKIFP1z767pHlc/7Dp53sNrCta8f1DUE0nulo5ALdMkLqz3/aUgxwhhELLzWmFvTF0IHrvXB30f+7c9aab67YL2BGHZagnotHIzwfHvLE7rWeUjR07dodP5S5k8Uds9w/ouRtIKBUDG+uWj2XqeHH2L9Y5QQawiiGLd62AWJohVVQYXemOi8nopcfwcjMqPVjsmse04tKKVuUEpNV0q9GXhuWaXUo54telQplWnrwr7wTE8B3g78fTFwhdZ6TUQh6Jgkg3r6ut8Hvsw5zvOUjNnpFceFFRTtAbwLbD1+9rZ7A3NzjvOXiGtQiLD0QuKGKFzrvi66zm6jrW23mQfp3PQT0/7IL0a8sKjNqScgd6nbYdi1tHCDFJtM4Q74YgIaxs3doh3hP6a9SJQhUucd1zoImAJsimFn2aIuGsrD7i9GDLtnOf/hwGRgLIbdl9XUzUez9zoFPIN0CWKQ/pbBWHWNW8j57yDFjcsQsQJf5/WZwKfAzqqgqkZhsuyeUwM34tNxSjgT+Ltni/5OmgLLKsjUmCqlVkZkrf7o/a2Qu3E/V3YT0rIqCf4Hr2q1aJrDkF6Sn+ccp5KUfwTel7DqRdWTvuuma/53F67bPm7O996IsYbYxUpB3L7CdUP/PfA9BunBCiFXp8Eh+FqsUVBqaD0LOAnDLqsY9Cg2W+BTbDLEUvqS4sUBDLgeUY3KWlDAlyesn8eW740LHIphh3UQyh6lsPswetOGGoEtgS+AAzDs+jKR/R/N3esU0Hl9FvAJsFOMEGutsUKNWwh+DHwJ7K0KaruI5+yKeLS31vFog91zknS8qQmt9VPAVxVP743YIEhni6oia8/0SsSr6fH+Xg74Wmvd5f39KcJfTIIfIvnRi5DKVUV1Q3KO91gvjzjvgWVvm9lDD+suGLtFDGFwv1gp7IJdC8c/P+LxHo1+GdgwqXdQNM2DkTvF+2MZ9ZIg+hLgdxh28IdxAfJ9sJOsKQR++7szca1jkdDbOqS86/ZRNM1vA+sSRZ5Q8pdjkejCrzHsVBeqRCiF3Vel0X1IXWsJQiNZABQw7P0bOn8j0Qp7nQ6+QYoUYo04Vj3jVhWe6IJvhO+KIrqg89pBuPbDqCGXWtE9pxE9akdrracBeI8rZDl4ZsZUKbUHMF1rHfQUq911x/boiqa5M+LN/N3T1z0cKei5tOK4MUQoKCqapjm3Y/a3nx7x/95XssRQ6b/A2G/lHGdagvewNB+pUN+j5B1MijsWJeH5+EbdtT5ERK2hXBDdp9hEzwVHgEe12Rah2viGYxvkxmpPDPuimidHhx/qvrDuUT5caxpCW/LpUutlsIa48MPu29YJu/cNRPJwa+Tm9DYMe2xD528kWmOvE0Hn9VvEDLHWGctBumYNAyKltSrOfxnx5kZS8u7CYAHTgX1UQW1bY1y/e86YtN1zmo0sPdPvA3sppaYim7U94qmOVEr5eowrI0olcbG0YXfRNPcERgCPVKGD+MVBYZtyGcDnAz86hQjSfx78C3ZY55la8Iuhfl7hHeQx7AOjDlI0zRWB9YD3c44zNdFKXOsx4CdI2fwrf113472RH0l1ik069KYvlUj284AzMexDkw4elCcEovM4S3SpDoQu1ej8Zd2wewPmfxnxCtqBZzHs5Ro6fyPR7L1OhyQh1lo4GTFu+9UybiH4IRI6PVQV1Piwgys82rvr+FFZds+phy+VUisCeI/Tsxw8M2OqtT5La72y1noMMBF4XGt9KHLX4VduHUnM0J5Xtbox8EnOcd6gZChPqzhOIZtSt6DIUx/aEfg65zgPRZH+88beI2zsOnP6+chpOceZDFR6B7fG8A7ieWG14Fo2cC0walDPkNu873nS8HU9+D1Fy7mlrjWTkqDCnyv6z8aB33nnjth57BJdahjwesPzl/XD7o2Y/y/IzeEQ5P1/IzVTAX+vL6NZe50QFQbpzjSVr5XGLe5Y3vl+nvH+KOfrvJ6MVJGPonP+kBrHZNY9JwT3IjYIEtiiMDSCZ/oL4FSl1AdIDjWyGIBSKvfUzJkfAeq2L79cZvXBg3+E3M1PzTnOOxWH/xjxtG4LGfZs5A71xqXP1JH+83CKN3ZSTckLkJB3eT6yt3dQV5jaM+r7Il5Y1FBLbbjWj+a3zXt+dvvMgQP14AWhFJuYCNCXnq5CX/IFFQ5CvodJSfZ+5XGyApPedKnGonbYvVHzn4tcVFYCnmno3I2Ga50OPESz9johvBDrzYhASyoVrTLjluAaovP6aaShgEE1Clp1HAHMpG1JJ6qr6g1bWfecbdRXSqkepdRUpZJxbZVStwLPAWsrpT5VSh2DpLB2Ukq9j1CGMk1p9Ykx1Vr/Q2u9h/f/D7XW47XWa2itD9Ra976oVoH3IV73/RHLDlvS08O9M2aM2nnZZX1jVE24+zQkjhB2UfUVlH5Z8Xwt6T8otXtLWhHo5yN7C+mXewevhXgHxyJe2J1Jqomr4Z7l/uygwJy38WAMO9MvF5Ut6qrBte5C9mIQUt0auTgiIE/4Rs5xvkyxzj0QLdJtMezfhR2cOSTs7vfnzZw2FAH7Ag6wBYb9pwbP3WjsTjP3OjmORKiFh0UJsYbgCG+sw1VBJYkITURU3U5QBVUpz9oLnkcrhW4D5g2t6dH+jj/SDfyAUQxBIQV61yUxqFrrQ7TWK2qtO72I6fVa6xla6x201mt6j5XVvqnQygpIF5627EZD2ts0oxatCMD44cM7lvT0aIKi7kDRNNdD7jan5BxnRq0Bi6Y5HuE1PZ9znHllL9aQ/iuapumN/ZrX7i0WlgqvV8/x+nOfi3DAVgL+WWc4nxeVnSSd4mA0i9dasP5c4Bdp8pdBePQln2ozue7BrnUBElEYTTxBAf+mJx3FQ/Z+Y+QCcyKGfXKq8ZKt4SqEFz2K2p2G+mpuv9PQDOAoDPtnDZu70WiFvU4AzyDt6/0ZKcQaMpZfxR17LJ3XSxCBFEX0RuJP0NOxBHTvCJ2P6fySh5E43UEb+88OIW1Kq0FoZWO6ym+/epXl5nyX7ebtwKOjjmNQWxsvz5lDFa/MzyOG9d70KRrVPcwK6T8Me0sC7d7ivwWgJLwelo/cD/EONq/mHRRNcw1gdeDNlF5YcMyJwDIo7mujbQtK+cu0d74g77sWfak3XGsi8BqwEYZdDDvcy33vCszORJ6wlL8U7m50ulR2cK3jkVDr2sB9DZ57AaKjvAj4DYZdSXj/5qAV9joBdF4/idx0xwmx1hrrCSS8P5qov9Hy8x9C8psrq4KK1rpyydD53v9OVAVVrap6FV4Cnj0Z7iiWP98P0MrG9OMuYI9PHmB+l2KH9g1Yb+5G3Prll58GD+pVUFQDnoLS1oCbc5zauaGA9F8XXY+j2QmYmXOc2H0GA8LrH1XJ8VbOq5Fm4753cGrFEf4NQ5Yi8b5H93Ncy6EkiP4khr1iyrFrh7ZrYzxSYXcIhh1285Jl5x2Ba01FKCvQjPyl4AcIWX93DDvOZ5cervUJ8lvSwL0YdqZE+pZCa+x1EhxEjBBrCA4E5gIn1TBuYdgXYST8XBVUXWqhQMGSofOo7dF+DMAj58O80b2fb3G0sjE9G5jfRQ/bzb6MbroZO39zzhm4VyXf6kykoCgsmT4Jeb+/D51ZhMHPeHvIqwNRtCvddnP85QMl4fVozZmFZO57B5dh2BNgaeHRBMQLuyvhWsoQEDooUWxc615E9GIQKUTCA/SlR2NRbYQyNA4pk78Aw66nUHIKctFPGjGotYbHKdGlXgmhS2UPoQ2NRS5yZ2DYhzd4/meQyspO4CUMO0n7rv6BZu91Angh1kOIEWINGSuXdCyd1wsQukwb8Eikk3o6u5A+x99RBVXJMT8bKa4MYj5Z/8b7CC1rTLXWRUTH9KMdRw/Rfx95D4D+6eDtTsGwNwgcaiEFRedUGSaIY5AwZjSeqGtd+s6Q1xegYX/3hzvEfgOCgxHDGD0kU907OA35wd+ScB3V4Hu6F5Q961oXIlXLK5Bc8tCnL9UuPKoFIdlvi+zpX6v0n6VomhshSlov5RxnVsI11luDT5caRfayh1Hmn4nkm7uBGzMKu8eZ/3rgt0inoWZIHjYOzd7rBNB5/QBivKKHWGuPdR+1jVuU829DUhPfVQUVdg32sTfi0Z6hCmrM0rGWXvOVn8b7CDjOe77l0bLGFOTDvWW99VbbYsSIxTMGuPMV6nBKNJJRdQuKAiia5o4ILecJT0EpFEXT3GJJ2+LBo7qWmzuAAWZc6b9Iwuu1UPIOOoCX0EuriVN1mgmsrb7QgWvlgFeAcRh2GNWocuzlEO/yo8RUG9d6ETiK6v1noaR8lcnnUWMNPl1qLWo2O+5DZB92jzv/T5GL7Gre4zcXstdPIXt9f5NXExX7ECvEWhdVjVsM7IbknwuqoELlYj2P9miqeLRiOEfMhpGztNZj+oshhRY3ph5OAAYCt+NatyA5uGWA19FLL6ph6v9LFZRizHsxwJz22XuQTPrPp97E985gqXcws90dDqyEZnKGXthxhFNstkCUVw7CsKPecUKpyCtaaLsWXOtmgnvtUYY8ecIfIPKEj6eaIxw+XWoChn1p2MGZI6OwewrsAvwL2AHDjl2k0s/wAyQ3t1vDc9UJUM8gNXosnddzEMphOxFFF3Re/wVhLqypCirT7i3NQn8wpj4NRMj5rnUm8EAXS1ZGNF7dnOM8XevkommOADYFPss5zpQoE3rFSlsB7kFvv/YkMaX/AvnId0OF1+vBtX76wvAnZ6Dg+7N36gg/ITL8aubaFBvJX45F3vf5IfnLIOKHtmuv4UzEK1wZ+If37DnIjzay+EeK+YN0qZ9j2EeGnNEXa8gi7J50bo3k8GcBFoZ9fEPnbyTkvW6I7PUZTdnrmAgYpDgh1npjPUtC46bz+nokmmWqgvpJxNN2Rzza81VBNTby0gdoaWNaNM11kDDTlJzjuIGX9nxtmednoGDMgrU+CRnG7zBzZYypJyGfzTVAEum/6vnImCiaZudXHe7Izp4BPasuWmMjDDt1R5cAxSZc6MC1vkRuWPz85Qb1Di+a5qEkDW3Xxp5I/9mtMOxrkUhFD7JHfY9yutQNGPYWDZm3fA2Jw+4ZzD0HuRldAvwew06i6do/IHu9Bc3c6/jwDVIhA4Pkh2uTGredkc/uMlVQoVrPOq/lJi2GR9vKaGljSi1Svmvp9wa/qZRWjJ+z7cYYdr07ocOQC0GcBrTHIobz/KXPRJT+C+Yjc46TtArYxy9RtPfQcxXiHZycgSD65d7jpEhHu9ZkRDGlHXiuSv4yiHSh7erz+97RTI0+bq356xuIPOGCzOYIX8NSuhTwBIadtI1gGiQNu6eHa32AqEQBPIJh96UYeXPhWm/R/L2OjAqDlDbcOwupbk5k3HRez0AiiJ2IbGOUc65D+OUbqILqFwIatdCyxtTjj+4MzMo5zr0Vr22PYtk23f5sBx2LgSsx7J2rjLEfUpH4cFSKhlestCzVipWiSf8tFV6PMl8ITgB6utu6zqbkHfwuqXdQIXQQnWIjuepfI15nVUH0oml+B+lRGt5TNC5EUGBjTY/eZO5WfG/W9n8NPSdreHQpZG9fxbAHNnj+yrD7fg2e/xGE2zsA6bDUaMnDxkH2+kyatdcx4RmkV4H1VUFZKce6lhTGTef1FcDbwGaqoKKGyn2P9gpVUPVu1lsaLWtMEe+mExF4rsRFAN1tXSchxgHgfgx7jYrjJnmPlQII9VC/WClc+s8XXk8l+Vc0za2QPNkzOcdZkJF3kFzowLXOQlR5VkaqXCvhRxH6RPqruMI17uMj7tcAqy1a+/Kw/rN9Ate6FPnsDOLJHmY1fzDsfntY2L0P5r8SuAGpjJ/cH2gkieFaF9PMvY6PXRCDdHmUEGsI0hq3XZDI3h9UQYXylHVeu0hlfmSPthXRysb0J1Qh5XsFRZvhFxS51hNIJVkn8gMf6h03GtgA+DDnOB9EmTBQrPRpSLFSUPrvxsD5vvD66xU53iTwRedLRlm8gzSC6GmFDvZG7jq/j2Ev7U9aEdpO382mOi6YPvDztvcHOX+jmSR71zocmAyMjUuXymj+yrB7Y/uQutYxSKHKeshN5TcXzd7rGPAM0i/IwCClNW46rz9BUmQDiSiLqfP6MuAdYHPGXd/oqvVM0JLGtGiamyCe34s5x5lT8bJfUPTbpc+41u+R6tERlEjmPpUhTpn7Rb3GroZy6b8jMWzfi/W9s1/FmLMXvP6n30NE4ssrOEUQ/XokFB2ZZB4QOkhOsSm976+AYzDsn3qv/Aj54fTlBedIoGvy8Kf3p/deNxpbUqJLpRPZT4LysHtYp6G+wDbAp8BeGHaqIrt+gObudQzovL4cMUhxQqy1xroMKfzbXBVUbBUundeTgH8D26qC2j/kcB87A93scfIQBsyOO2XT0ZLGlPqC9H5B0eVlz7qWhfQo/K5GP4w0JF+IdOKIikOJWqxULv13abdx5e5IyLlXjjcBzkf2pnqLKNc6FvEO1iF6g1v/M03H6fLyl0jV3+VerjqT0HYtFE1zAtJ557Gc43R7e/0k8F2aERaS/KVPlypg2FEvFlmuIRh2f6rBc3cj738ecDaGnajnZL9AK+x1PIhBkhBr2sjNTkhK4dqEY+3snf9nVVCheWfPo72AjkWQ26PlpR0r0XLG1CPlbwv8J+c4T1a8tg/1C4p2AKYq1M4bz9lyMHB3VIpGoFjpoch6siXpv5422u4d1jUiK+F1XyS+Xn9R3zvYE8OuKwNWNM1ORIAgG6ED1/oIed/Mapt5Pzqz0HYt+HnYYOcdX1BhFwz7N71P6WOU06Vui0CX6gv4YfctMey+590GIZKH30Pe/80YdpK+mP0Dpb3uoXl7HQkVIdZUyl2BsQaRoIuRzusPEEriEKSheJRz8ny9Sg+rPt2hCioqt70l0HLGFKHBtAN/rPJafc1XCUOOW8KSnrUXbMgeMw6p30ezHAXvMaxVWuWcnvSfatt15gGMnbt5Wm7pBEQn9LG60ofl3sGZIX1If0XWQgeu9TRwwqvLPNeJgkHdQ2LrekZBoPPOx2XyhOWCCqdi2Ef3xfx10Zsu1ej8ZTDsfnQg7N6o+d9Aupi0AU9h2KNDzui/kL0+FNnrfzZ8r2OgIsSaqupb53UemApsl9C4/Rz4HNiNtiXRhGdufmieZNv4vygebasgljFVSg1SSr2olJqilHKUUgXv+e2VUq8opd5USt2klEqj1nM8crc7KfhkoKDo3znHea/WycUVrhn18LJ3tGk0w7tHXophbxU2oTf2+sQoVqqY85V3B79Opx6AOX/jf6bM4/nc1nCuZrl38Oc63kGfCB0UV7jm+s8HftzT0dPJfjOOPL+P8pcXI7+s3t5nuaDCdVH2OnOU06WmNDx/WT3s3sj570L4xYOR998vi0ciQfb6AiRX3fi9joddkWLDmzMwSLt4Y8U2bl4j8t0ATee8oTJMCGas18NLJy5CPufMaXBKqRuUUtOVUm8GnjvQs2k9SqlEUZa4nukiYHut9VhEzHxXpdSWSPuziVrr9ZHQW6Lkd9E0twWWB57KOc6iipf9QqJ6oU+Ay+Z0zOLdwa9fjLy/xzDs74Sc4xcrhY1d8/xXhj3LQjX/ZaSa97EkgxRNcxSSh/045zhOpJPKvYOnK72DomlujZT394XQwc9Rum2lxat+guQv+0LFZCJ+E+dqEEGFfYi+19mjRJf6NlBT2rIP518adqc6Rayv578AuA1pNP18Q+duNFzrl0idQnP2OiJ0Xr+HFFJGDrGGjHUVCY2bzusp+JHGzvlDIp304G8XIoVfe6iC2jHs8Ji4kRKl0sebCEsjcf1BLGOqBXO9Pzu9f93AIq217y0+CiRN0vemg7CUenEgIQVF3nF7AnPX/fiPZ3rjDESqXqveUXnn+MVK1ULLdREUXh+kh2yGCINvn1D6r7YXVg8l72AQvb0D/zM9o9d56fETQH8+4CMTCSvthGHHUZqqi8idd1zrASLsdR/Dp0t9D8O+oeGze2F3ShSxxvYhda2JCNl/Ywy733T6SIh9aeZeR8epwDRgN1VQaSMWPyOdcfsRKE3bkk5VUBEiSB3ge7TwV1VQmUUBtNZPIamR4HNva63fTTNu7JypUqpdKfUaMB0xnC8CnQHX+AAgtndQNM1hwObAtJzjvFzx8hHIHdbfQgqKfoxwMEW/1LUuQ0QflkdUW6qFIY9EQlSRi5Uq4Auv/7FCGDyJ9N8h1PPC6qHcO3gBllJstqAaxSYlPKrNSsBLB7392hwkfzkb+CmGfUxG00SXJ4y2132HcrrUDzHsnzV0flnDtYCN0IZebQJtaDxyXTgEw+4XDZ0TQfZ6M5q51xHghVgnIAbpjjQGKRCuhQTGTee1ZvFQv03mPaqgQr+bOq9fBf6EfJ+z7OXcJ4htTLXW3VrrcUhJ/njAREJxVyilXkQKQrqijqeUyimlpv6/GTNmAWrKnDnV3Gz/hxlWHHQa8sUpUWpc6wjE4JtUD1H4Yyeldfj5yLw3X1AYPLL0X9E0D0bajd2fWCS+5B1s5HkHPsUmtUB+Ffic2rO8uecgF5gu4Nq0+ctA5533c44zNdJJ4XvdtyinS/0Gw64MJTViDT8GHqfvwu715l6CpH8WAhdg2Hs1dP5GQnLVzd3rCPBCrDcgTIVUEYMK4xZfd1x3dNPTuQRR0IoaBTwWmIHmYDVGfe7lNKcqpVqOjpW4mldr/TXSFmtXrfVzWuuttdbjkZjz+1HG8D6Q64BVtxo5UnVpzWWffLJn8IMqmuaqSNPet3OO81mtsYqmuR6wCvBaznFmVLy8JRLu2A/DPi9wzhhgTeCtemPXmTOYjyzleJNJ//mE8HjVxL2x1Dto0+0nEE6xiY0AfamcauNa7wF7IaHqtPnLpJ13gntdCDs4c5ToUhq4F8Neq+FrkPn9sHucbknp4VrTkO9GD3AXhm02dP5GojX2OgqOA/4DHKQKasuUYx2DeOSHJBpryZD5SOTuh6qgQilGOq81j3jOwEGsiFxbVgWuazWDGrea11BKjfT+Pxj5Ir2jlFrBe24g4hX+PuKQFwJDjhq2Hgd8PZF3Zs+nR8K5QX1X/6J6Xu/Ty+Af17ujhtBIxgLzgV9h2AdXnPM/EddbCd9I9Q5DxpD+K5rmiog8W3QvrBY87+DTAVMX96juQYO7h74RmTcbHT7VpvfdpWs9hHweA0koEh6UJwT+HOvk8r0+N0r/2cyxlC5FJ/BSE/KXPm1oNnAKhn1cg+d/ETgK+Y48H9JpqH+j2XsdAV6Idm/vz3ujhFhDxvIpMn+LP5YCSQUq4KFI5z/LUbwF3PwKDH/Ff7bSTjQdcT3TFYEnlFKvAy8Bj2qt7wdOV0q9DbwO3Ke1jioMsArAcYO2ZFT38hw675Cy5wMFRfNyjvOXWoN43VB2BL7OOU51RRwhXm+FFEzd0mVcvhHiPc6tN3adOYP5yOp81ujSf9mKxLvWtGeHP/ZvNGw3c/cN+8A7+BHB0Hbv+S9HKuaWI1n+8jikmOrORCHv8r2+FcPeKPYYaeFa1yPVlMNphuxhedj9Dxj21g2e/2akoG4ZmiN52Dg0e68jQOf1s8DtxAux1hrrGUQ6dHngDwnOfwwRlFiRSiW76liFvwIzV4OFq5U/nwBKqVuB54C1lVKfKqWOUUrtq5T6FKEaPqCUip0iiVvN+7rWeiOt9YZa6/W11ud5z5+utV5Xa7221jpOWOljgO+7f+S1ro8xO77N7cOOXvo8cDLi2YUZuzOR8q8b6x7lWq8iRT7tHwx++3lv7FtjrDeIC5DPr36xkEj//ZMa0n/eDcN+iFxZJiLxRdNcrqttyVodumPGyJ7lMvUOAvSlp6vQl0pwrR8iNAmT+KX5vuRhcnnCwF4Dz9TqP9uncK2fIkV6q3mPjZ7fD7sDPNpw2pBrnYlcNFdBpD6/uWj2XkdDjhgh1hAcgkQ+jlUFlaR70f6I4MwpqqDCwuMfo5Hs9OKK5xNAa32I1npFrXWn1nplrfX1Wuu7vf8P1FqP1lrvEnfcZisgnY2E49js698wrXsWBwwYx6PDT37Je/10KguKqsNCPKVfhhwHrnUHcN47Q14fgIahXcPOSrh2X/IvipD+ttSW/jsW8cL+mrjwqDcuBlRXW9d5lLyDqn1IE8Bff5QG4Fsh6if7BHPV9RDovPNGznG+TLZED95e0yxBBcEuCF1qBww7fpV2WmQQdk+JPRHB9K0x7NheTD9DcK/rN8toAnRedyOc9Ogh1vpjHeyN9XCC8xch6mGK8EK5pXYigPkk737VJ2iqMdVaF5GQ3kdd9OhNZl3ySTc9i3ccsM4B/1r55J8gd7RTqhQULUXRNMcD3wKezznOvFrHlZ2zwjW3z2+by6iu5dn7q8MejLvugPD6o5HykfWl//wbhSxF4g/Gp9iUvIOVkYKxxIgU2g6i9L79XPXECNP4Ie9sOnS4Vh7xjFdEmgM0FuV0KQvDPr4Ja1nkH6AAACAASURBVEgbdk8zt//+ZwLHY9ipmle3NMr3+icNz1VHgM7rR4gXYq031sNIo4mVVEFdFnZ8lfPvQSIWY1RB1SwWLNkJ5TsbHwHHec+3DJrtmaK1Lmqtx2it2z7vnrVKh2rfEuj5eNC//HBx2N1HvQ4ztXAZCtabv9FUYDyGHa/IpZTbjN50vIr0X9E010AoDG+m9sI8FE1zIuKJBoUOfO9gKwz72hTD++3volNtXGsGUmHbDfwfhr1JrUO93PeuwOyc42TZK/MAROEkyV6nRzld6vcNz1/KGtKE3dPOHZQ8vArDzlrRpnVQvteNz1VHw/7IDW6UEGsY9vXG+pkqqCTKW3siVKpzVEHVTEOI4RwxG0bO8uxFSxlSaAFj2guu9XIXi4/8YsCnqrNngM5NP7Gm2EDRNAcj3RzcnOM8E2X4QLHSzFUXrbEOUjJ+OIYdyTMMCK9/lHOcd6KcsxQV0n/tPe1+2K96IU8y+B5dKQxb7h0ch2H/JOHYUbrZ9IZrTUG85XZE8rBW/vJUpCoyi847wfk1coGLtdcZryFIl3osIl0qa8QOu2cG15pKScLtQQx79YbO30jIXvu56mbtdU14IdbDSRiirTLWEcg17ZEE589DuPrtSc5vJbSeMQVuX+H6VbXSrLZwbUX9XNck5D1EpeKAeLodwE0eyX4cktq+BMPePcL5vuRf7LAGsFT6r4eeQT1K74pmTs5xMvEU6godlHsHV8YVRC+a5u4IWTtaaLsSrnUnctMwGMnfVhNEPwXJkWefC0m211mvIUiXerkeXaqP5k8Sds9y/ieAk5Abplcw7H7XszIyXOth5OawOXsdAp3XdyE9gVerF2KNONadgbFip2d0Xt+EiK2sowoqSi1GS6IljSleQdEGcze9n/qC0scg4cM4PNGTCBYrudZnwPbec/dg2OuEnD8RuSBfHWPOcrjWBa8Ofe41rXoYs2jNhYnH6Q1fsL+60EG5dxBXED16N5tacK3zEGWibyEVzkvhyRN+G5icc5xZieeoP3/cve6LNfh0qeUQDd1GU2Yih937aP7fI03vmyV52Di41pWI+lBz9jocuyPXsroh1phjnasK6tsJzt8VCY1fxJAvUi6lOWg5Y1o0zU3xCooGMmgv4C2qCEoXTXN75Ev6RN2+n+Xn+MVKz5UVK7nWs0ghVAfwIoY9osb50YTXI+Ddoa8vj4ZNZ29lYNixea5V1qYo5S9q5wXLvYPJUbwDL7Q9DgltvxV2fF241oEIH3kzDDsoSebfCJzZ+6QMUb7XL9Ta6z5ew7FIMdR6SLeZRs8/hRJtqFenoQbMfzLiyawJxC4A7FdwrWNo5l7XgRdi/REZhFjThmt1Xs9ExPQ7OGKXZdKspVloOWNKKXx6ZiDXVU1QOg5Fw0ftC7Zr3YBUtw2jNvE6uvB6HRRNcyxSXTt5AIOmAwdj2L2Vm+IhutCBeAdXI95BFJK5X+SVLLTdG+MBFzgMwz492HmnTJ6wr1Da6+GIoEAzPIZtELrUXhh2qobyiSC0oQISdn+tCX1It0OqMnfFsLP6XrUqmrvXdVARYo1eUFl9rBuBycB6qqBii//rvL4aeIPRr7ez2dX9ri9uSxnTioIiCe1Krm8TAoLSRdMcgai7fJZznCkxxt6KesVKrnUawnlalQqSeSAf+V7OcT6K/+7KIEZdcRYlYfDzMewknex9xKPYuJaFvMfvIuXt9eBTbZKHtsvn9gXhFwKXrDtv3I3IHe31mYwfbQ3+Xo8B/t6weUvzB+lSZ2PYjdcZda1JlMLujaUNlSQP5wCnYdhHNXT+RqIV9ro+/BDrxaqg0oqb+GNdknCsXdDtsMupQ1RBNT5qlAItZUyRApXeBUXS/Hgn7697l1/8rauRIqA4xOhJVcfujQnAB8C2GHbQePg6vuf3PiU6iqbZieTtvso5zmMVwuB/TSL951FsVie+0MEOwFRgFwy7ag/VLEPbZZD85XZAz9h5m08c3jWqB9mjRmICQrLfrmKvG4NyutTNGPamIWf0xRr8sPumGHa2VdThc89CohRdwPUYdloR9tZFK+x1DXgh1lOR1EeqTkM6r2cExkoi5jCNf5y7kI7FIHzYfoNWM6bHUqugSJof/wjo3G7W7od29HQsIR7pOFqxktwxj0OI1ydh2CcGhddzjhO/9VA5fkmlSLwIgx9BcmFw/3OYFOus0nudA5yKYR9d5ahfeY9pu9lUm//5zwd89GuFYtev9te56ScOyHyO+vP73pG/13H7z2axhiBd6qmG5y8Fftj9UAw7Dl87PVzrHUQ4vQ14HMNOUrzSP9Aae10VOq9thIu9kSqoVGIT3lgOsLEqqPi9jZ86dxFfrd4DfF8VVGMrzlOgZYxpoKDoHzULilzruhkd0x/o1APY86vcktz0E3sijr0jcYqVXGseQiNZAly97ryxlyH5yDsivZn68PufTqqY8xaEvxlL+q9C6CA+xabcO7gu2Ie0aJrfQTSFswhtV8U/Rj74g7cHT6GDznbkfTe6unUe5f1nt2vo/LKGu5CbrMFIDrux+aLysPuvMew9Gzz/A0h6YiCSv2205GHjIHt9Ls3LVdfDzojDYWcQYt3FG+t3qqDid9K5+ZG5yHXyBlVQLUUrqoWWMaaUCorq5vz+37J3rjKt8xMG9wwdQnRBaV+xKHrhkGt9iNdZfsN5m586pGuZ0LWFoWiaWwIrAM/kHGdBlTnPIr70389IK3RQ7h0E+5Bm282mAr484WvDnvsCyds2RxBdSPa7eX89jGGPacIaLgBuA0YjHS0aPf/SsDvSh3S9Bs9/GdJwenlak0aSHVzrf5AOLt+iGXtdAzqvpyGGfgApQ6w6rz9D0nbJxpr5XY0UPg6mSoOQVkRLGNOiaQ6jVFD0ap3jRgMbPDHi/g+BD4kgKO0VK20KfBq1WGkpXOuxr9u/uqCNNnabeVB3bvqJc2Od3xt+VWw9oxxX+u+nZCF0UO4dvDJ9xbMHUgptZ9LNpgr8zjs2wlN7D8lV/66P5qsN13qMiP1n+3ANE4HXgE0w7FuaMP/zwNFIvuv5htOGXOsIpLJ0fbKJArUuXOtgmrnXNaDz+kKkZiR1iFXn9QVITcLWqqBi9xXWeX0W8AmwkyqoxkZLEqAljCnilUYpKJIOLW1cTCmvGSYoHXXsqnhwudvG/mvQ2wzQA9tJQTL3vLDvISLxNSUS40j/ZS50EPAOZnRO/xAxrH15USvJE8r73hh53ydi2Cf24bzVIYIK1wGjaJ6gwHhgOpDDsPuWc1sNrnUTEpEYRjPC7iIoMQ3YH8NOpczTD9Dcva6NncguxLqzN9ZNcs8fG7siJxYTnt8wtIoxPRzJWdUsKPKKgA5E8jrXeYLS4wkXlD7UO+aKuIvy85EvDn9yNvAMsDZwX9xxPJyHfN7hXld06T/f081Ofs/zDt4b8uZK3ne3TwpSAp13HlsqT1iRq25S/vJ40u91mvmXUKJLXYRh7xVyRl+s4XSaFXYXGslYRHzkXAw7tkfTb9AKe10FOq+nIvS9waQUmtB5/SFyczaYznmx5SN1Xr8FXAMsQ+e8IWnW0tdoujEtmuY+CHn+4RDN1yOQvpR/W0rRKG9+3EtQumia+0UcuxZ84fWbEVGBT4DdMewoPUwr8UPiiMSHSP95FJvtEKGDxxKspybuWP76I+e1zWFE17Lkpp94UpZjB+CT18urhMvfd3Pyl+V7HU/UPwuU06XuSkKXygDNC7u7lotwwruBWzHstI2sWxetsde9oPP6TERoYmdVUKl0rHVe/wL4lLauDtqWdCQYwgKm09bViUp0fkPQdGOKqLBAeHGQ731VXnwf9p6rJig9yXtMquzhC6+fFbhjngucgWEfHnUQzwsbhXhhkaQPgTDpv1/RR0IHS9oWX4qCDeZtupA+8A4C8oQfV5UndK3HgR9Tyl82VhC9fK9/UdF/tlFreBE4iuR0qbTz+2H3r5Gw+8kNnv9VJKrUDjxbp9NQ/0ez97o2/BDrraqg0lYdyw1y57yhccfSea2RmzsYMG9ImqbmfYlQY6qUGqSUelEpNUUp5SglHQaUUjsopV5RSr2mlHpGqfi97LyCog2Bf+cc5706x40B1gLezjnOZ70OcK0rqBCU9ouVgA9zjvNBgrX5+ciXco4zx5tnJtIcuxu4EcMeH3G45CLxtaX/qlNsUsILbe8CzF5l8Xd9QfRbMeyNMpzG77xTVSgCANe6GvgDchPS2IbWMn9wr/8cY6+zXMPNyGe1DEKjiESXynD+eYj62BLgfzHs7Rs8/21IemQIzXj/jUSz97oKdF47iMjNMKT6ON1Y3QMWe3/emuD8yfR0LkGuG5n1JFZK3aCUmq6UejPw3KVKqXeUUq8rpe5WSo2MMlYUz3QRsL3WeiziTeyqlNoCiWMfqrUeBxQp6dZGeQM5pdTUp77+ehrAc7NmheVlfIpG7R6MIij9HCVBaV+HN0lIFmrp+LqWA+yHfHZPYtgr1hukaJqjkIKij3OO4yRaSbn038NF09wKMICnq1Js0uHn+FQb8Q58QfRnMvQOfHnC/617lGudADyF5C/vz2ju6Ii51320hjMRakGzaEMf0sywu2vlkWbmK1HRaegbh2bvdXWcjBRJ7aMKattUI3UNXgBKA/urgorfNH3JkPmARnOY+o76XCnVo5SaqpRKI894I6Xvt49HgfW11hsiqY6zogwUaky1wKeEdHr/tPdvuPf8CKTpcCi8N34dsOrmw4erxT092J99NrHWB+IVHu0JzM05Tlh3la2Bz3ro2UtpdQh+sVJMVAiv9/5Su9a9wDmIkMOUEJK574XFLoCqgC/9t/MyXcNv8547I+WY1fATZG/lJkIE0X3voF5v2UgomuZE5O47qjzhD4CPgd0S5qrToXyvm0Wy9+lSW2PYf2j47KWwe7P6kB6AqPNsjmHf2OC5G43m7nUFykKscHe6EKuCxUP9bl33xB9LweKB4t1OZEV5glWB65IaVK31U8BXFc89orXu8v58HuH9hyJSzlQp1a6Ueg25Q3lUa/0CIv33oFLqU6QaN2qhxoXAkL1HrsTAtjZenjMH5EJdSxjgZCR3dluN10vwcl0fDnx3kVa6Y3jXyFcT6smeQ6XkX++5LkTCFQbygdfCIYgXloiaE5hPA+MWs3j23PbZK7X3tM+qS7FJAC+0vRLB0LbM7XsHK5JeEN1vHhwt5C3ve0NE8vAMDPvIlPPHR2mvV0B4kI2eP0iXOh7DtpqwhmDY/ZWGht1L3aP+AxyJYffbBtKhaIW9roDO68mIKMwoIB3nXHd0A7cAywJ/in/+4gG8g9yO73aA/2w9+5EWRxPeCASIaEy11t1eOHdlYLxSan1EeWc3rfXKyIcSVSd3FYAjjJVBg/pqlbLnq+B0xFOKRtFwrRmThz/1BRq2/3rPzRM2P/bzkfmQuXLAq8A4DLuXsS+a5sHItt+fiUi8a816YLm/3I2C9eZvNCwo/ZcR/HB6tbCG7x2Mx7AT5SwCnXfezznO1MgniuThFkg19A0Y9hZJ5k+FkL1uwPxButRVGPaOTViDH3Zfi0aH3UXycBySdroUw05VYdrS6L3Xjc1VV8cRiIE/XBVUWpH+I5HCtiNVQcW8PmvFHcCiobDpXRIrEdSyH4mhlDoHueZEEtWIVc2rtf4akbmbAIz1PFQQrzFqx4ePAc7/aCobztmcK4dMZJuONZY+H0TRNNdDPqQpOceZEWXwommO6VE9q3bqzk+H9CzTRszmx0XT3JpSPnJRhFM2B74EDqrSk9T3wjITiV/QPm8vNN3m/E0qpf9SwQttb0utnqLl3sHhGHYSaUU/Dx2/p6NrvUUpf/lEkwTR6+1136OcNvQghr16w9fQzLC7SB5uj9zo3oNhr9PQ+RuJ3hSxZuz1Unjh3v29P+9PE+7Ved2N/JYBHog3ltL0ALffBLfeIqVxgl72Iw2UUkcCeyB1QZEcoSjVvIZfzaSUGgzsCLwNjFBKreUdtpP3XBScDcx/dfF0Tv3iWUDxyIiT2aVz3WqVnZcFzomKywCWtC05nWSC0n64OmoYcglCo1iA9CTdD6BomisixVDxvLA6WEqxUTzaRttS6b+MhMF9qk290HbQO7gkjnfg5b73Rcj4yarxXOs+JJc7CFEoaqwgeo29bvAagnSpl5tAG2pu2N21ngWOQyQPX2i45GEjIXt9Ms3a6wrovH4C0ckdjUiAph3rXm+sq6KfOXgBMJ9/7QDvL60bmk+GwjVKqV2RSOheWuv5Uc+L4pmuCDyhlHodeAnJmd6PfKHvVEpNQXKmkTwVrXXRO/ejR7ve1WfN+9tXA2jn4REnTQpyRD2Kxk7A1znHiRSz7lWsJILSdxBRUNoXXkck/yZHmRMA1/oS2Aa5Y74dw96AvhGJLwkdlAuDZ0EdOR5Zf30Jt+TewXGIEbwzVcjbtS5Gwi4G8ELI0dmj+l43eg0+XWokzZA9bHbY3bVuQNJKw5Eb5ZbkHWYC17oGUU1rzl73xoEI//pEVVBpmyEc4I11siqoiNeRAUuA47yqYICPgOM8uxIbSqlbEduwtlLqU6XUMciNwjDgUY/6GdYDG4hWzfu61nojrfWGWuv1tdbnec/frbXeQGs9Vmv9A631h1HfgNa6qLUeo7Vuu3jBY8sppa5HEtLBwoYzkbvPOAlvn+hfymm51kHAFKIJSvvC6/UpG9XgWpPxepL20PMcmv0QDyYTkXiPYlMudFASBjeBv6YYOxjaDqfalHsHL0b0Dvycd6rOO978hwEvA2Mx7FT8t4TzL91r4LmmkOxLdKk1gQebMH9zw+6udRrwCDAGyFQBrOXgWicDT9KsvQ5A5/USYCJSSRu7+XeVsQ71xorclFwM54jZMHKWZ0cSGVJvrEO01itqrTu11itrra/XWq+htf6O1nqc9y9Sn+NWUEAC1zoWqRJdh1K7HQu5+4+TmzoNKVaqvGBvjjQ/DhOU9oXXk+WCvJ6k/xr09lAUg9ApvbByXEp1oQNfGHw/DLs2D7c+/Pcbp0Wd7x0Mo1xMoheKprkGsDrwRs5xvky4xkp8D/gCOBDDPjfs4MxR6j87lBj9ZzOGT5faFcO+LOTY7NHssLvkFP8FbI9hpwo79gNsh3hhzdnrAHReP4BwMb+jCuqisONDxroXuRlaRRVU/FqKFkJrGFPBNogW5J6zR//Pn5DQ7PM5x5lX/zRB0TRNpFjptZzjzCx7UXJ9Y6kjKB0QXn80oY6vP9dZbwydPB8Ne884bK3wEyKjutBBuTD4rzDsg+MMmji0LXOfhtxRrgr8vc6RfqX3pFjj15/bFwlfABQw7P1Dzsge0n/2PqTK/ckmzK+Rz2AOcBqGfVQT1tC8sLu8/7FI96iTMexIHkS/ROm9Nm+vy7E38ts7QxXUmJRj7YVcm89UBbVq2MGtitYxpmIUNgTmDesZedSqC9aASvWh+vDv1qp7siIoHWx+XCko7d8VpeKwFU1z9YVt84cM6x6xaGjPsPEYdmrt3IDQQXWKTbkw+C0xpf8uRDzepHf2E5D+h9th2FdXvuh33gFm5xznroRzVIfkL7dG9vS2puQv5aLyNvB9DLt28VZfQfKX45GIyvUYdtSq+izXEAy7N7YPqUgeborUdf4Ow06n0tPKaIW99qDzegHCwWxDwu1pxzomi7GaidYxpgCuNXNO26ztNJot5+xAbvqJkaTyvAv2jsDMusVKpebHZYLSAeH1j6oKr8fDFShY2LbgSERZ42gM+2cpxwyn2CSX/iv1FE2Cknc0CzipinfwM3x5wr6Aa71MSRD9OQx7uT6Zp/b8GtGv/Qo4BsP+aUPnlzW8A+yD/J4fbxJtyA+7H9DwsLtrfQDs5v31SGX3qG8UWmOvAdB5/RckPbemKqhU1bQ6r4tIIdBabH1+o9MFmaC1jClw3/LF/Z8Z/gjiLEXmiEYvVpLmx5dQLijtS/6lykV41cQTgNkHvv3qbZSI17/BsCv1H6OOGV3oQKT/CkSU/iua5u6IFGTa0HawD+nvKO9D+lMkj51dz9Xe8/8FiSwMJQPJwwTzB0n2l1O7/2xfruEBpFZgIPK9bgZtqHlhd9d6DPmu+Z2G0ja1bl3IXp9Bs/a6HLsh3/vzVEGl1a6eACxmu0mDWCaSOm1LoeWMKXDsp4P+3d1Dz7mUtG/DOKJ+sVI0sX3X+gVSFecLSh+McCd7hSljwvfCbvHm+QjpNA9wLxU9SSPCFzqIRrFxrUnAnUST/kvezab3vB9S8g4exrDHBDrvTM45zqzUc9Sf/5dI8dq3gaf7dK7q8wf3ulf/2QatIUiXmtwEykxzw+6udRWixb0srUEj6Tu41qWU9rrxEpcedF7PQq6/7cSoyK0z1imobjh8l2WyWF8j0VLGtGia2yNt1P7R7p7yPwjFZTR1ChuKpjmemMVKHvbAE5TebPY2cYTX6+Fn+P1PfbjWk4g8od+TdFjUwSqEDuJQbA4kRPrPC22PpVZP0SSo8A46ejqSiG6kwb6AA3wPw76hQXOWkGKvM1yDT5daH+FYN3r+ZofdjweeQToN3dvQuRsN2euXgA0bnqsOQOf1dcBrwAaqoFL1vdV5/Xu+3KCb0W+2q4I6MZsVNgYtZUwBv8xacoOuNRHZpI0w7FodYy7xHqNp9/rwcl2L1aKeNRaux54zcm/EX24JRdMci1R1vtzLC3Ota5ECnxHEu2NOJnQQTfrvEiS0fWmV15Kj5B2M2nXmgdvTw4yc4zSGByjvezNgBvDDDHLVSdaQdK+zhE+X2h/DntTw2ZsddhfJw0+APTDsZLUA/QffR/b6gKbsdQk7I7UXV6iCSse7/r+H59LdDvDb1GM1EC1jTIumOQy5EH6Wc5wpgZfGI91qDq7UQy2a5mAkrOTmHOeZ2HOucM3IB0fd3qbp0cO6R0xKKSjtG6Xqve9c68fA40hP0qjhkORCB+HSfz7VJm1ou9rcx89pm/Xx8O6RTJh54NeZj19/7gVI141FpMhVp1xDkr3Ocv4gXSqPYR/YhDU0L+xeev9zgV9g2Ic2dP5GoiRx2by9BnReu8i1r5OIXVZqYu5K8MR5C72xmipSEQctY0yRalJFZauyUmHDQkQPdZ/Aq5P4/+ydd7wU1fnGv+cWesdBEVDsZVRAjb33rrG7amxRf5gxlhhjiUEsiVGjxoyxRUMsa+xGMRol9t5BF40VFEUYeueWPb8/3hlm9t4ts7uzM/eiz+dzP8CW8569Z5kz73ve53nkM4SSe8qDa5Y0LOLDnu962W1FgtJp02xEJPbmlMjC9gC+AvbEsG8oMWb1QgcFpP/SpplCsoYoStt58cSAdPfFdQvp1zpwnQQE0b9BpChBzqqj5PuGRXCtq/WyLR+5dKn7MOwRsc8hybK7Y81F+NOtwF0YdrVOJx0XHWOt0WP0tcjR2dZqrKpOs/mVi5a7Y22jxqpOcTPUkTbT45Bu0PZWbsIR3RnZFB4KcERPQb5Al5cbLHgeOWLKXRfgmx9XIij9W+SMqPgFwydeLwDOwrBPLfLqaIQO8kv/XeI+G5mbTRBp09yBOoyn+z/0qkItQgTRj69FrIJwrJeB05E1fSv288vctT4bwz4l1vgyhyBd6rUy6FJRxU+27O5YGUT/tWz3qE4HWWvvrDr+tfaxJ3JNvkWNVdUK8++NXPP/FsFYNUeH2EzTpnkIIlr9dEGKhmO9BZyIyxF9YoPtD0KalZ5PZTLNed9THN555IPu+DcBN1OZoLTnf1qaX+dYC5ELTAtwK4a9Y9uXRC50EJD+W1S34EM0GwKfpjKZqVWPnR9/BFhev+xc/OxgHIa9VY3i5Ydj3Y5UOvqShCB67lrfRvT+s2Hm8CBwGUKX8qhgccZPtuzuWI8hQi5hmQGdF451P0muNaDH6G+Q8/JuiDpYNWNNRfpouuHLzHZYdIjNFN+ppDhFw7HuRi7Uvep1/YPoEO8pjPbnkY51BmUKSqdNcztgEPBKKJF4ifMpIqEF8CztPUlzKTZRwJX++6DXG8OEwlsbZ/o28oRvudmBJ4j+IoZdLRetPDjW2Yj259okoa7ir7UiQv/ZMucwBngEWB14NYH4yZbdHev3wH2UYAasFEh6rQE9Ro9BNKN3VWPVISVeXmqs3yJepbtT19QQwfRqhsQ307RprorICH6VymQ+LfkGx7pgGUv+M69hdpeuultTm2alsDG988hJqUzGafN0uYLS3nlreU1CjvUUciPQFcmEgyTzs2hLsYkAz/Z7bN9pXb/S9bqeo2eeXqss8Qrke/XXFY841uP42UE53rJRYS/gS2APDPvPpV4cOdqvdRIk+8MRutTWGPa42KPnlt3fTqDsngLepzgzYGVBsmst2Bu5ht2jxqpqv+8yVuOSnlCTFo9IkPhmiu9YErqF/RHjH1+gYKPFI7tg2LdVENM7jxzT7pkyBKXdLGxbvCysXDjWdcA4pFz9DoatAhSbyIUOnC7TT8+qrBq6bO2mOurySf9FgRORsmZu5utnB4OIm2SeK3n4yxJn1bWaQ3Cto/CfLTd+kC51AoZdvVBH+XPwyu59KOE0VCNsDcwgDzNgpUIHWGs9Rn+KmH73pAp7SHesT/AMPhoXd9iz046wmR6BdOreHvodiuPQNG+4dMRc4FQM+5dh39rmPPKxvC8KLyh9GW2zsHLhWCcBbwAbA4/iSxrWQujgfICBzYN2IL/0X1UIOO9MyHv27WcHIzHs+9s9X0vI+aUniJ73rDqGOZyElBlNpBQXd/wgXeqaPHSpOObgld3XQmy84ozt0UiW0p4ZsHJB1npzfGrcvgnM4hxEr/kANVbtUeVYZ4PS1LU0qLGqGgpjzZDoZpo2zROQw/J/haVopE3zUKAPiqfrqPP0UG8oQw81nPC6CEp7Z32FBKVPohqReB87AN+10HIwmt0heqGDtGmuj1zAPtzwm9vepo30X0RhPOedYl3CXnZwZOzZgQiie2fVExISRN8ejtvd7AAAIABJREFU+A44hMr9ZytHe7pUErQhr+y+e+xld5E83AmfGZCE01A8kLPqPZDaaOxn1XqM1vjXmYeqKdHqMVrT1NNTuHukI5Z7E9lMlVIppdSU6cuXj9Nac8VXX5VD6r7U/fNcHGsKkmVCeD1UT3i9tL2bmB97gtI5Z11p09wH6A/8t8Ju4mCcVmCzj3q804xCDWxatRaNA56p+O/cmBOAXxKRMHjaNPsjWU9xecL22cGh1cQtG471NHAu8rnfjV0Q3bca9Pxnj441vswhSJdK4vwy2bK7Y70D/Axf8rDTqOyUDcd6BTiNhNZaj9HvI5TBvjQu6VHdYA2ttDY2AX1pmN8X5vVVSk1RSqWimGu1KLmZKqW6KaXeUkpNVEpllFJj3cdfVkp94P58p5TKXzJtP14KuH1gQ8Oaqzd047umJj5euvTqML8Qt1lpU+DLVCbzOQCO9TxwBr4easGaekB4/e1UJrMwzHwDgtIGuWd9YbKw8HCs2R/3/GAhWrH7vAP2x7C3iGRcVpS296ZtaduxbFzpP6qXvrsG6Vj9U6kXtskOHkhAEP0G5D/4irPqmOPPRiT/WoF7olzrMubg0aWSOb9MuuzuWPciFaWewKQkaCSxwbHuAG4gubPqnwOzqWtuRLVU93tuaWxhCXIbJJ9iTeD2SjdUpdSdSqmZSqmPAo9drpSa5O5tzyilVg8zVpjMdDmwm9Z6BHI3uY9Sahut9Y5a65Fa65GID13YM6DfAz2eHXA6h885mWedhSCl3jBUDU+yL1dRx7FuQWTx+lL8y+J13pbXJSuC0u/gCkq7WdgoJAvLlDVWAaRNcwet9IBu2W4fN9ClnmhJ5udSqLSdKwxeDS/Mkyf8S6hXt88O4hZEPwVx1dkYCHUjGHH8ifiCCi8lQrJ36VJI+T8e/eTc+MmW3R3rQmA80vD3Yqyx44ZjnYNQw2Jfa7fcK+fTXRb3VGNVFZv50u54vdhdVjwYdv/Ih3H41U0P12itN3P3tvGE0Q8gxGaqBYvcfza6PysK1kqp3sgZTNgL0hoAM5hLo+7C7fW/oE6msUaxN7mKRYdTqFnJsSzETm0d8mhDupJ/uyLnkc+FnGsQ2+GaHw9qGjwBuS+KUibuKoBl9UtPRHi33YmORlLKU3QXRBh8/0qk/9KmeTTiD1uePGFudpAEyXwnYBpwEIZ9ZakXR45c/9lJCQkK7At8DuyGYduxR0+67C6b+SfA9hUyAzoT9gG+IIG11mP0K2Qbm0Er4NYqRlJ8DXT7Cnp9JbuRoOj+UXA0rV8C5rR5bEHgnz0JeUAb6sxUKVWvlPoAEZx/VmsdJD7/FPhvmwkUw9cA+85M82TTR6xZP4AX+p654vEi+BmywTxa5IK9O0IW3hvDbltuvATJAv4Wcp65kLO+zYClcxpmbY6mhbY6whWiHcVGPEkfQqzlSnmSlhp7FELgfrsg1SZXGLwS6T/vzq38FnzJDp5AsoOXyn5/NZDPPRJYDFyEYcd/9pK71kkIKgTPL39RI7pUqTkkV3aXz785ckEtixnQ6eDT/pJZ6+YeS9y//VyNVRXqByu59s/fHGZvLocEglL7R3lRlLpSKfUNItEYTWYKoLVudVPeocBWSqlNAk8fg/AHw+IipPmCAxbcyv9aZrBj47q81/f8z0u8z+v8LCyO4F8YFgLnYtgnB571JP/G5ntrKDiW81zfJy5rqWtm6PK16lMzR29W8Vi5yCd0cAQwCdgSwy7eeVwcxd1s/HhBYfDQ0n9p0xwCbAR8lspkplQ4x4OBj4HtMOzKbnYqhZxfbot87rsTOr/01vonGPbdCcRfjGwoHl1q5wTmcApyXBR/2V0kDythBnQ+yFp7Z9Uxr7WC5p6L5S/8u7Jyb/eluPtHAEuImEqotb5Yaz0MUaGzwrynrG5erfU84AXcGrNSaiDCx3yyjDHSSCfhVEBvOe/qqct1y+JRjcN2x7DzTjptmsMRib+PU5nMt0UD5HJEb8ewd0ib5g5IA9HLoSX/CuD7rtOOQ8Pmi7ZTRCcofQL5hA7kczjAsRh2eX6tQNo0uyIl3HCl7cqk/7zNunJ5QtdbFskOTsGwz654rMrifwgcSbKC6N5aH0d+/9nawrG+xKcxPJMQbWhH4FuSKLs71lSEsgPhmQGdE3JWncxaZxtbEKnW1fE59WWgSzOB/cP981R3X6kF0sBhYV4YppvXUEr1c//eHeEtfeI+fQQwXmu9rJzZaa3TWuvhWuu6hXr58K6qYRPkrvBGDDsfudf7pYfj5QlH9BDk803o1dLHO9usSgkkbZqDARPF572yfS4nAkFpV+igP/mEDoR4PQo5J74Kwz6wzOHLL22XIf0XdN4B/lHm3NrGDWYH18WeHTjWI0g5J8qz6nLie2vtkezLXeso5jABOV+PhC5VQXzvuCGZsrtjvYhUsEoyAzo9kl3rQ5FrxtlqrCr7piW4f7h/RrqRKqXWC/zTO1MviTCZ6WDgeaXUJOBt5Mx0vPvc0ZRX4s2PXL7ovwl4iroX7AOBRalMJrympmM9Cfxao7vuNffQLeuydd+nMpl3qpypt6lfiWP9DilHVSso7d2B59/ohWS/K1KifgTD3riMsU+jktJ2eOk/z3nn4Uh8USU78G6m4s8OHOty4AHk/PL1WGNL/KCgQrlrHdUcbkQa/AZQPV2qkvjJlt0d6zbApjQzoPMjd63fi+uz6jF6OdIDU0cS5hMBKKXuQ/6vb6CUmqaUOgW4Sin1kbvn7YVopZdEmG7eSVrrUW6r8CZa68sCz+2itX66ws+RC+GL/oL2nqJnIndP5cvPOda1Mxunf9xNd+fg2cerar4s7qZ+KCI24GVhhyLmxxUJSrcROihMsXGsNxDv1gbgDcSTtNTYO1JNaVuk/96juPRfe+edaiGC6MHsIG5BgaOAD4AtMOzoXHvCx3+NMte6BnMI0qUeTyB+smV3xzoTeA5hBkRzfeuokLV+FdiQGG3O9Bj9MEJHWkuNVaEafGoyD62P0VoP1lo3aq2Haq3v0Fof5u51m2mtD9RaFz9adNERtHl9ONbNtPcU/RVSG6/ogv3f/v8aPKthpu6ue6xKdYLLP6dtFuaf9c1GBKXPLXPMPxJe6GCc+7reCI2i1I2BR3E5v8w5BbENBaT/As47H6YymRlVxGiP3Owg/uxIzi9nAikMu7RSVtQof61rgV0QutQBGPYfYo+edNldKiRfAXth2FFS4DoidkYoYgfGvNb7I8cav1NjVT651k6FjrWZAgQ8RWc1fP8iwh/6IJXJzC13KE94/Zl+jz4NTAcOrUIP1cvCcsuxuWdd15YpKH0M5QkdnIfcKa+BcGrzop2naKUoLv3nOe9cWvH4xWMHs4P/1CRG4djNSMVgGfAHDPugEu+oxRxCrXUN4wfpUhdg2McmMIfkyu4+jWQBcDaGfUqs8eOEL3EZ61rrMXoxUoWqJ+FybxToeJupYFdg6qSe73gSY5UKost5ZF32POQ/hqeHelQ5g6RNc23kov5R3iysAkHpgNDB+DLPG/cDPgN2xrALudVciWS81ROz80j/tXHeqaX7iZcd7Ilh31DDOO3hWNORO3bv/NKMNb4gzFrXDrl0qbsw7C0TmENyZXeRPPwJ0ml/G4a9Q6zx40RCa63H6HFIL87Gaqw6J46YtULH3EwdS89q+H7UjC7TaMx2ITVzdNlnJmnTHEhQeN2xHMSdpRW4F8MeVcZwpbOw8gWlL3H/LE/bV+6YRwHzgNEY9i/yvOpEonGz8WLmSP/1bul7MXKmWduLW252cFYCguhvIb/LeuT8Ml5B9PZrPTrW+DKHIF0qSdpQMmV3x/oU6ehUiOThsFjjxwlZ68OJf633RXivV6uxKn5ZzYjQMTdT4JkBj56hlWatZRtkKe4pWgjeeeQ1Kx5xrPfx9VBfCcMRdRuP9gMWpjKZh4u+WASlS5ofu0IHG1Op0IEQr7dAvoB/wbBX+PulTXN/5Kzx2byeopUiIP23+9yDf0cWTbkax5XFDWYHt8aeHTjW3Yimcy+SkDzMXeubiNB/tow5BOlSExOgDSVbdnesp/Ddo94j4B610sGxHiPmtdZj9GxEUrKBTtzw1WE3U0R1IrvBkk2PprinaCF4wus35TwqeqiXIRzRiSEujuH8T/3xz0ZMj4sJSkchdPAlPp0o6El6hftnVZzaAjEvXK6WvthD96zfZ94RiwvKE0Yf18sOIInswLF+gxDN10DOceNF4bWOcw4eXWpVxOA87vjJlt0d61qki38VhG2wMlNmYl9rPUbbCDNic7a4JQmN6qrRITfTtGluhTQdvNF7xsUP4t8VfhDmrrCk8LpjjUFcbgZTWvv2HCg7C9ubAoLSAaGDIMWmMjjWcwh1qBF475V1DhyGlEWLe4pWgYcHjmueXz+HAS2r9MKw76hFjLyQ7OA88njLxoQDgP8BO2HYVQh1Vwh/rT2SffyCAkKXeh8YhWGH53xHFz/psvuJyOZiUh0zoOMjmbXeG2hl37N60GVeTCGjQ4fcTPGt0qSD1vcUXYVwQtgeb6nYeeThwEfAVhj2XflekDbNEYge8btlZWH+WVc+QWmPYvNQREIHNyEuDP0VdR8SlmpTAdKm2Ugduz7V/+HZiPTfybFK/znWdYhl0kDizg58GtRc4LRC0pc1nsOKtSa57GhrhC51VFu6VCxIuuwO2wPfUR0zoLMg1rXWY/S3wBgamuC4/XrVOl7U6HCbado0uyManU4qk3llxRPiKfo2sAnwYJH3e8Lrn6YymakFA8nFcUtgFnB8AT3UcCLx+ccPmh8HBaW9BooohQ7+D3jp2y5T+iqtsoSl2pSPS4D6bF3LHSQl/edYJwFvINlBLTuJ88X2BOE96cvdSryjFnP4P+BlRFBhfIlX1yJ+W7rUIQnMIVh2j5c25NNIKmIGdCoksNZ6jL6SOWtlGfZ6vRqrOtXvtsNtpkjHbB1wS57ntkf4oodh2JcWeH/480jhiI7E10Pd33vK9T/dDZiTymQqM9MVQekD3H898/ZaR+6ECB3kp9hUgbRx860tdS0MXT68LjVz9NWl31ERPOedSxOW/tsByQ4OiT07yJW+fDoofRkjdkUsp/ajAv/ZqpFLl3oIw9409jn4ZfcdYy+7i+ThdlTGDOhcaL/WtT+rvvvpxeg6gL+rsSpuf9uK0RE301OQL+nl7Z7x75SWAGMw7COCTweF11OZTLjzyFw91Mcw7A3dZ36LnM3cWdGn8Md/BldQenH9wmfdR8dUNWY+KC5Bw6hF2y0CzsOwT4hy+IDzzisr5AmTkv5rnx0cHUtcP34h6cu44ns+rJ7/bKRrHXIOQbrUawnRhpIruzvWRMpkBnRa5K517c+q566f5Y2zluP6V9c0VoToUJtp2jR3Q87Dnk9lMs15XyR80Z2QDfc+DDtoMusJrxcsAxcY8zX3vQ3AW64eqpeFVa8b6Vg3ttByx/Qu07o0ZBuyqZmjI/2CpE1zGLAhik97Zftsg9BI7sSwt4kwjMdZzS1PJyX9l5sd3JOAIPrNiP9sUPoyzvgeyb4Wax12Dh5dqhcie5gEbSi5srswA8YizIBJCUgexoe41/qZ65YhEod7q7GqHFW5xNChNlPA04UsTutwrHeB4/Dvir27wt+0+TM8HOtORJyh9/cN0z5GM4hgFlYlHhh0+ydaZRm+bP06oheU9kvbQrw+DFnb58ukE+WFK0+4LYXkCZOS/svNDpIQRP8FrvQlcoYXL9qvdRj/2ajncCHwBNKo90IC8aeQZNndsS5FOntXozr3qI4PWevxxLfW+yBMivvVWNXhb1Q6zGaaNs2+CDn/21QmM7HkGxzrn0gpuAfwwSMb/GR9qhVed6xfAf+Z1Ott76JU/qZcGGeh0Zst2jpSQWm3tH0IUvKUrmQh2V+IZOlR0EiuQL4rxSTtkpH+87ODpATRd0UMivfBsCswO64SuWs9MSFBgYOBj4EdMOzbYo+efNn9COBD4CeFmAErETx/z5qvtR6jM8BtiOFD9VafNUbim6lSKqWUmvLsnDlzAfXewoUvhn5zwFN09/kHvuE+WlVZ9sFV7jhsVuP3dMt2JzVz9PHVjOVhBcVG8U43um2GmB9HJSh9OsK9zPUUdayrELk/g+qJ1ycg5cTCTV1JSv/lZgeleMNRx/Y+90LgVxj2ibHGlzkE1/qNEq+uRXzv/HIOcCqG/csE5pBs2V0SgWLMgJUDstabE99ajwYcNIex5vg+MK+vUmqKUipe4/gQSHQzdX8htwNrbt+3r2rJZrn+m28OKfMXdahGZ/q2Dui/7fzdm1KZzGPVzKm5rukyFKy7dONlwBltOKKVwstYLnLPujzz4ygEpT2Ltfb/gR3rOOBdYASGXd45sgvXeac/MKGkPGF76b8di74+Skh2MAnYEsO+O7a4Ens+oh/bgkhfJnF+6a31SAz7gQTiL8U/v7whVrqUP4fkyu5FmAErHWJcaz1Ga57iRgCOOl5JGwtrArd3tA016cz090CPk/quR4/6ej5atISslG3Dy+w5ln5olTvvWa6WMnz5el0w7Gpl9E4CWtZctt4IfI5oxXqoLsVmV4IUm4jMj9OmuT4iW1istL0t8D1wOIZdSdZ+pftnuN9rrvTfszFL/20FOMBxsWcHjvUJviB8JGfVFcBb6yMqXOvqIHQp78IaN13KQ3Jl98LMgJUPca71m/ycD4Ee8+CQFb4e5e0TMSDpzXQNgJ37DgINRy05JOfxsGiua7Ke6v+gRu4Kr6n0rjBtmvsgWdh/+8645FNE4B6q00P1KDZ/y3lUzI9/S3WC0p7SUeELpy8SvhQYi2EfFnbwtGn2x3feyYSeVVLSf7637DIkOzgwlrh+/CeQSkFUZ9Xlxq94rSOcw4vk0qXiPr9MtuwuzIBTyGUGrJyIb63X4FFgaW9Ye0Lu4x0IZW2mSqluSqm3lFITlVIZpdRY93GllLpSKfWpUupjpVTYOvrXACd+/SpDv9+ZLerW47Hep654PAzSpjkKGLKkYfHbCrUH1d0VelmYyBA61gRcjiiih1oJgXg0ntBBWzjWlcD9VCAo7XqK7o14ihYvbQvxekd3Hve3oRMVg+e8U748YVLSf5Id7IoviL5xLHH9+J70pQFUbsxeefy2ax2/oEIuXaqge1IN47ctu5frOFVt/HHI/5neJPH540Q8a/01GrhlIVw3K/fxCqCUulMpNVMp9VGe585TSmml1CrljltuZroc2E1rPQK5A95HKbUNIj49DNhQa70REFYY+SKkC5Vd597KtNa5HNRlU17oe9YHZczJU/u5kFxP0TfLERFws7BRtM3CHOtG5Fy3P2U2NuQVOmgLxzoaMT8ehWGnw46NWBaV42bzLnAsPp1oYIh3HYOci1QmT5iU9J9jvQGcjHwP3og9O/ClLzer9Ky6yvjvAsfj+s+GXOuo5xCkS8Vvq5Vbdi/XcSqK+Ochn3tN4pY8jBu1X2vZJ3LV0Ze4j1eCcfh0qhVQSg0D9qTCTbqszVQLFrn/bHR/NJJ9Xaa1zrqvmxlyvDQiljA1S1ZvPvfqb1rILt+5cd2DMeySh8uB88jZqUxGrLHEU/QGSniK5sFVSBZ2fbtnHOs04BVED/WJkON5Y0JpHV7P/PgYDDvsF+Rs5Hcf/gsldKIr8UnmBYnXAeed8VUK8icj/edY/0Aav3ojnzXu7MCTvjy8iPRl7eBYaeRMqSfhrAZrAY8utReG3f7/Va3hl92TchraD/gM2BnDvqnUizs5gmsdqdFGcJ9ArnlTgVPdxysZ7yWkG7ktrke+LxVd78o+M1VK1SulPkAu/s9qrd9E7kiOUkq9o5R6Sim1XtjxtNZprfVwrXXdTL1wjUZV/xOk0/XuEKo2l5D/PPIcSnuKtkUKycL+XOD5XYBvgP3D6KGWFDrInW/Q/PjKUoLSbml7deCdsj1FHeu3wOPu+18u8spL3D+LOe+EiZec9J9j/Rq5U05CEL2o9GVMc7gYWeshFF/rWsUP0qXOxrBPTmAOyZXdffeoeQgzYHSs8eOE/1kXAOdGvdbBfcL9s6KNtBCUUgcB32qtS2scFEDZm6nWulVrPRJRwdhKKbUJcue3TGu9JVISrVzPVjpdjyJcp6sn+Tc2z3MFPUXbIm2aR1EqC5NNYQS+HmopDmoYoYPg+EHz41KC0p7i0QVFXlMMhwCTgW0x7HZr5TrvbAx8lspkplQYw0ey0n/B7CDcWkQFkb7cgfzSl3EhuNbx+c96yKVL3Y5h75DAHJIru4vk4RYIM+CmapgBHR5yVr01Sa51BVBK9QAupkqNgoq7ebXW8xBJqX0QDcWH3aceRTKRyuFYDyNi8AVVbQLnkS/nPY8s7inaFuGyMF8PtRUYh2FvVeTVntDBVUVe03b8tyghKJ02za5IluyXtsuFbz83GzgJwz6nzSvCO++Ej5mM9F9udjAaw/5FiXdEHf99cs+q4xVEz13rk/OsdRxz8OhSCpgQM13KQ3Jld8f6klzJw+Gxxo8TclZ9ELK3JLXW5WIdpIo5USk1BUkU31NKrVbOIOV28xpKqX7u37sjdfJPEBUiT2R6Z+DTcsbNC8e6DBGsXw14Pc8rvFJrYf5jYU/RFUib5mCkQebzUFmY6KF6jQ0v5tNDbSN0kF+wv/D49yKfrZCgtFfari7LEOL1FkhT2Z8w7H3cuXvOO0uBcM474WMmI/2Xmx38JQFB9PuBy3ClL2M/vyyw1jHPIUiXei8h2lByZXfHeg74JdUxAzoHZK1/TVJrXSa01h9qrQe55ePhSHK4udb6+3LGKTczHQw8r5SahJRNntVaj0eyr8OUUh8iYvU/L3Pc/HCsI4GJwBYY9r3ew+555DbIeeQ7JcbI8RTFsNds8wqP2B1eK1f0UC9G+IT5NoXyhA7aj38B8CT5BaVPoxDVpvw4U5HuNYDHMez1kbXrBjxUZeNRoZiXkoT0X9LZgWONQTqaVycJQfT8ax33HDy61CrESZfy4ydbdncsG9GaLZsZ0OngWNciN+PJrHURKKXuQxK0DZRS05RSp0QxbrndvJO01qO01ptprTfRWl/mPj5Pa72/1npTrfW21Rzi5sHWiKpNCsP2zgi988iiZ6ErEPAUJXBX6GZhhyJZ2N/LmpVj/R4RXx5EoLGhYqGD9jgQMT9eISidNs0dKVbargTiSXo60pn9dkO2i/c7rp2CUK70XzhqTzRxnwPORD7re7ELCsDhQAbYGsMu7/sWBXLX+q1yqGMRziFIl3oogfhJl91PR5rBymUGdD441okIfz6ZtS4ArfUxWuvBWutGrfVQrfUdbZ4frrWeVej9hZC0AlJpiKrNCKTT9Q8Y9kFUdh55I1IaHYB/V3gykoU9XFEW5lgp4H1ED/V+99HKhQ5yx/bO+ubiC0p7pe3zC76vsli3I13Mffabc/jaZPmoYued8PCk/47FsKN05ykOx7oJuBXJDuK9Y/YF4WcDJ2LY58YW25+Dt9Z9kapKEhmDR5c6NFa6lAcpu69wnEqANrQrwmUMxQzo5Nged6270dIt6cnUEh1/MwWv03VXIKvRj/Zt6d8feLak8Hr7cX6OlNg2QCgDF7rPVKPnuzUwAzgSw76YaoUOgggISjfRdAN6RWk7+hZ/xzp7dsNMp1e2L4fM+Vk28vHbxwtK/10Vq/SfY/0f8BLyPRgfW1yJ7X3u5cC1GHb8xseOdTZCGVsbeCaB+G3pUkclMIcVjlPEXXaXzz+S8MyAzovAWneltWsjrR3el7RSdI7NFIKqNnV7zTmUIcuHV3pHuzMwbWHd/APQrANVZmF+Y8PSqV0/v4JohA6C408B9pnU6y1QqJ6tvSPlV3lIm2b9f/o93G9R3YJsj2zPzTDs6m8GSiFZ6b9dkOxgv9izA8f6Bmne0yR1fiki5V8Ce2DYhbjVtUMuXepeDHtU7HOQIx6v7D4u1sg+M6CF0syAzg1/relBS4+E1rrm6DybKZAedPPjk7t/oBvpws7z972/ovKMe6f0bq9XW1Cw3hLzv1VPTPRQd/qw59ugYeTCbW6veszc8Z//vHtmmdKKA2enTqnRWd851NH4n/4P34HQiSwM+7QaxMlFUtJ/UnLdDBFEPx/DPiGWuH78oPTl27GfX8rnH4mQ7H9JnP6z/hyCdKlXEqINeWX3E6jecarc+BngMIowA1YaONbEJTQscf8V/1rHgE61mQLXTOz9hlpQPy9DFao26UE3z/uu61TdkG3kJ4t2OpPqPUVJD7r52wX18+jV2peNl456KEo91LRp7p9V2e59WwZ8XUddrQSlzwL08vplv0bOM5uBW4jDkzQp6T8hmXvZwZ3E7UNaufRlVPE9QYVm4vaf9efg0aV6kITsYW7Z/erYy+7CDLgQ3z2qQ9NIqkEz9c3LqV9OUmtdY3S2zfQooGmpWrwpwmXdEcO+tYJxzkHR2DPb+2mq9BQN4E8oGLZ8rScRPdQoGxuuAJjXOHtf5AZiHeCpiMYmbZojEBqOyBPmepJOyEMnih4i/fcUcUv/OdZkkvQhFenLZyhP+jLK+En6z3pzuBTp9hxMnHQpP36yZXfHugq4F+nUfyPW2DFjGQ3LEIGfZNa6hug0m2lAeP2JVaf/QSONOXOB0zBsq8zhzgH0/IY5R1O9p2iO0MHHPT84EGl5H4o0uVSFtGkORM5kv05lMpOB3YEpwN4RCkp7XFtfNN+xnkYUobogXa9xkMz3R26S4pX+E0F0LztIQhB9H0JKX9YE/lp7gvDxCwr4dKmtMOy7EoifdNn9OOBdhBnwQKyx48cRwIcktdY1QqfZTGkr+SeqNpsjnbM3hlW1SZvmpshG966bhVXsKRpAW6GDg4GPge0i0EO9miDVxj/rWkgEgtIB5505qUwmNzNyrOsRneWBiPlvbcuQ8tk2Jwnpv9zsoNLvQaWxPUH4MNKXtZpDvGudHx5d6ngMu3Y850JIuuzuGmMAR2DYl5R6caeFfN+LGmRWAAAgAElEQVR/AswiqbWuATrFZhoQXv80lclMXfGEdLp6ZxxPY9hrhxjOy+YuXPFIrqdoWC/WIDye5K/d8bzGhjmIHurZFYzp4SjaUm1yzY+rFZT+Lfmcd/xYpyBqIRsjVILaIknpPz87GEEyguhFpS9jmENwrR9NIH6QLnU1hr1/AnNIruzuu0ctBS7DsA+NNX6ckLUeiX9WHf9aR4xOsZlSTHg9V9Xm3WKdrm4Wthv5sjDfU/Qoly8aCmnTXBfyUGwCHFHgOgx7r7BjBsZOIeevT7Sj2oig9CFULyg9mtLyhDsC3wIHYdhXFnldNEhW+s/LDg7HsKtykSgbIn25n/uvfNKXccBb64Mx7Ctij55Ll3oMw94w9jkkWXZ3mQHI538Aw9401vhxQtZ6N5Jd68jQ4TfTwHnkEiB/fV1UbW4G+lFc8/JiJAtrbxGX6yl6BSU8RQPwMt0xecacijQ2AIzHsNcNOaaH37p/5m/Zd6wnqUJQOuC880pReULffm4xcBEhjNurRlLSf7nZwVgM+7BY4vrxJ5BH+jLG+MG1vjiWtW4/hyBd6q3Y6FJ+/GTL7o71DnA8cq16PUpmQIeDY70GnEJSax0hOvRmqpRK3TV9ugN0e33+/OyxkycfU/DFjnUG8CKwHvDvAq/ysrD8GUd7T9Gid4XuRr8vsCCVyTxSYMyXEd/VRuQsKlRjg1va3ohSnqIiKH03lQlKe3KMpc8shHi9Lb5xe9V0ohAxk5H+k+xgR+R7cH/s2UGu9OV7CVBm2q51nP6z3hz+gdyo9iYZ2lCyZXfHSiOVuKiZAR0PjjUOd60XZpd9DvP7wLy+SqkpSqn4b+YqRIfdTN1f4u0H9h88UGvNXdOn9wJuL/HL3RWYCuyDYV8bfCJtmtshovSlsrCgp+hr5PEUDeBXyCZ5b5HXgGPdhojy9yW8W4SX8ZYuq4r58VuUISjtOu9sSznyhGLcfiTyvXkpAjpRmJjJSP851rv4gujxZwe+9OWGwL9ijS3xg2sdn/9s7hzOA54G1iROupQfv5TjVK3jX4zInkbCDOjQcKzzprTOmdi7rtsqPWn0ro9rUvqa32HQYTdT4PfHdt+sx+gFpzN0wQgWZLMgZN/ChtV+eWYh8CsM+8TAs55kXGlRdfEUvYrCnqIezkK4aRcWeD445pnAc8j56n+KvdTNeA+mWGm7PbZDzI8PxbDHhni957xTHgXFsR5BMvvuVEEnKhO7kIT0n2P9E7mZ6UkyJPOdEW/FAzHs8BaBUSF3rePzn83FfsBnCF3qptijF3CcihGHAJOJhhnQobHO3DH9Pm2ZSQP1dGPFV634Nb8DoSNvpmt8wXRaaWWnZdvx08bNVjxe9F25na53YNjbpU2zO7LZzEhlMuFI0Y51IZIJ5fMUbS90EA57AF8Be2LYNxR53emU62bjn3UtAX5HafPj8p13/FiXI8btqxIHyTxJ6T/H+i2SGQ5BrLPigy8Svgi4AMM+Ntb4MgdvrVdDOn3jju+5J80DzsCwRycwh+TK7vL5t0QkD0/GsM+JLXbMyMIao+b9kSH1c+ihvg0+Vfya30HQkTfTr99Y6rDd3BvIonmgz8lsUjcYJEMpDul09VRtnuuS7XYDlWRhogzzCQFP0QC8DuOLCAs/c14AnFVED9WzWCuPf9Xe/DivoHTaNPdFziEnpDKZ5rJi+LE84/bNCRi31wzJSv/9FBFE3xbDbt+8Vkv4guitwF2xnFW3n4O31lsQp/+sHz9Il7oJw941gTkkV3YXZsAWCI3kTxj2PiXe0Vnx9RKamNy6OnP0BjmPJzWhctCRN9OLgCXvtH7N8Qvvop46Xu/3K0bWDwmX8ouqzflAV032VDQtQHmlMl9EYA6+p2gpik2pMT091Bby6KGmTXN9hOP2YUVuNmJ+XEo83DuHrVbYO59xe+2QlPSfTzKfDZwUe3YgguiHk+T5pb/W8frPekiWLuUhubK7MAP2dP+VlNNQrXERUlkLYgnlJCwJIrLNVCnVTSn1llJqolIqo5Qa6z4+Tin1lVLqA/dnZJjxtNZp4FRg6n1N7+rrlz4/v6fqwvv9L7gk9NmVY13zRdePn2uua1JG8+ClFWVh/l1hE3CDyxf1hA4qy1KK66F6jVOXVjS2jF9QPDxtmv0R6sfXqUwmU3EMiZPPuL22kJukC4hb+i/p7MCxHkOoXVVJX1YRP7jW8frP+nPw6FJJ0oaSK7sLM+B0pOnxrdglD2uM4DUf6UWZCpzqPl4WlFJ3KqVmKqU+Cjx2qVLq28BetF+xMcpFlJnpcmA3rfUI5GK9j1LKK8X9Wms90v35IOyAWuu01nq41rru3MWP9FNKla15+2bfF/qhYcsFO/auWNXG9RR1/zVeafULilFswo35FJIZenqoXdOmWe/GKUy1CT/+pcAjtBeU/iNBecJqETBuRzxJzUjGLR7zjyQh/Zd0duBYvwfuozrpy2rit13rOP1nvTkE6VJhO+OjjJ9s2d2xbgduRJgBHyQk+1gzBK/57p+V+jePw79mB3F9YC8qRKGsCJFtplqwyP1no/sTjUG2j7I0b90sbBTwTf/sQE/V5tKKIjvW88AZMxu+a9TogUqr14tSbMKNeR2y6AOBd9Gci/zeojqXOhz4iFxB6WNoK09YLXySfT3iSVqMThRVzGSk/3KzgyQE0VPA+1QufVlt/KCgwpuxrHX7OQTpUk8kED/ZsrtjnQX8F1ibEsyAHyq01i8hx3OxIdIzU6VUvVLqA0SW71mttXf3fKVSapJS6nqlVOVlufI1b68CFIrrkPLMUmBMiE7XQvFvebPPC98D7D73oDUjuSt0rJOQjlizi+56GXIDEs0Zgd8JOAs4/rvVz78HofuMD90lHD7WPxBR/l7ERzJPRvpPsoM/I4LoSWQHWwMzEOnL+M+TklnrttgFaUzZP1a6lIeky+5SIQnDDPgRubDcvehOpVSkN4KRbqZa61at9UikFLuVUmoThIO5IdLAMYAwPM9iKE/zNuW+7s9up+uO+J2uI8oNnTbNngsb5g/qors2DWpZfShCKI8CO8xqmDGzSS3v1qO11/QyqDalERCUHtw87NjVl68BnvNO1HCs3yDqU/F4kiYp/edYZyNC6GsjwujxQT63d355ZRnSl1HOIbjWzyUQvy1d6vgE5pBc2T08M+BH+LgZ4fmPRDj5UVlYAjXq5tVaz0O4mftorae7JeDlwN8RDmh1CKF5mzbNo5A753+vyMJE1eY4fHWjfJ2uxXAZUNekll+BeIruhWFfX9FnCMKxWif0f+wTFGyzYNfVMeyjqx4zd/xvZzR+ezjATvP3JTVzdLdIx8/FAcD/qNy4vTwkK/23F/AlsAeG/ecY43qfOyh9Wfuz6vbw1nqnWNa6LXLpUuMw7OqvLeXPIUV1jlPVxPaYAc3kYQb8iFxorWe4CV8WuJ0o9qIAouzmNZRS/dy/d0c2u0+UUoPdxxSi5vFR4VHKQGnNW88P8Jw27/sncDnS6VpuieokoAXFVcjdzQLgbKr3FO2aVdntlVbzV2se2grcE7Ue6n/7P556s/fzKBTUUlDaL8VXatxeScxkpP98b9n5wC9jzw5ypS/jOavOjR//Wrefw2TgMORa9iKGPTj2OVToOBUJijMDfkQA3l7k4qdEtRe5iDIzHQw8r5SaBLyNnJmOB+5VSn2IOKuvgsjYRYMCmrdp0xyM6NR+nlck3rF+h3hzro4QsUuindCB3BVvTTSeopcA9VrpW/E5opE1NnjOO192/99S4DpEPLx2Z33tjdv3KPGOKGImI/0n2YEniB5/dhBe+rJW8duudXz+s/4cHkeOk7zzy3joUn78Sh2noor/NHJ04zED4pY87HBQSt2HKHZtoJSappQ6BbhaKfWhu0ftSttEq0pE2c07SWs9Smu9mdZ6E631Ze7ju2mtN3UfOy7Q8RsNRPP2v+Rq3npczWLE6kMRVZutMexxISJ5NwG+0IEoLR1E9Z6ip+F5ivoc0Sj1UH+OXGgeUs6Zv0J+T8OR31ttkEsn+jfhjNurjZmM9J8IonvZwYQEBNGLSl/GEH8K4p4EIqhQ+7VuP4er8OlStZe4bB+/reNUvGV3x7oe4b0PRCp1KxVlplxorY/RWg/WWjdqrYdqre/QWh/v7kWbaa0P0lpPjzJmR1ZAKgcrOtuyxo03IBvlUuSMNj/8EtVs4AQMu6AaUIBi017oQPii1XiK7ohcAF5eQbURjuhDiB7qawXfHB5e05cnT7gv8Dmwa03Fw4VOFMq4PUIkI/3nZwddkM8ad3ZQTPqy9sj1n41rrdvOwaNLjcSw708gftJl91OQbGxj4NFYY/+IlWQzDXS2fdn1k7MIKxIvna6jEMGJazDsfQu80hM6yN9sJJ6i/6A6T9Hzcx51rCOAScCWGPbdZYyXg7Rprotk7R+tkCfMPes7g1qaH4c3bo8qXnLSf0lmBwWkL2NF7lrH78Mq8OhSR8Z+fgnJl92lGe9b4GAMO7ojtR9REivHZgorOtsyPd/TaNhx3t6hfD1xrG+QZqkshVVtPKGDwh2bjnUilXmKbkNhT9GtED3U4zDs8kTvfXjt32PazNc76/LMj2snHh7OuD3KeMlJ/+VmB4/FFldiB2ljnvRlvPDXen3gyQTiB+lSV2DYhyYwh+TK7r571GLg4siZAT+iIFaezRRID7q5ZXH9QtW3pT/Dmta+P/QZpmO9gpxbNtBG1SZAsQkjdBD0FL0sROQrkTWwC8zLy5yXAVeXq4fqNh7tSyF5QhEP9/Qpay0eXtC4vSZIVvrPyw4OwrBLm7tHCfnc3iaalzYWA7y13jeWtW6LXLrUAzHTpTwkV3Z3rNlIhl4TZsCPyI+VajMFrkPBkKbh/yCgeRvqnY51B76qzcRAicpT1iktdJDrKXoJhn1UiXeU9hR1rG+pXA/1V8gZVmGLNMeaQBzmx8WN22uDpKT/crODizDsVCxx/fgvkksbi/f8Mom1bj+HZOhSfvxky+6O9SFwFBEzA35EYaw0m6mbhe0HLBw55Z4TCWrehj27EVWbZxELtAkuxWZj4LO8FJv8YwQ9Re+lsKfo/sjZ0oRUJtNaYsygHuobZXBEz0LkCS8sMf6NCIm5tuLheYzbaxInN2ZQ+m9izT5b+7jB7ODu2LODXNpYfJ/bj992reP0n/XmEKRLxS97mHTZ3bEeRo53omQG/IgCWGk2U4Qz1AiIy0BA8xZxTwmLvYEvgN2MpsEvuI+F81D1EM5T1GsOCCftJ3qof0I4opNKXRzTpjkCObN5J5Q8oWOdBrxCrcXD2xi3E4cnqS/9txZxSv9JdnAkyQmin4nIOq4DPBVrbIkfXOv4/Gdz5+DRpcpym4owfrJld8e6DHiQ6JgBP6IAVrbNVJOr/bsD8B1wSMgzTK88MypLdv7sxpnrK62akU7d8lDcU3QgUgb7OpXJTC5jzPMQPeAw2rfXuH+WI4S+C/ANIh5euPRcLQLG7cgdcxwk+2Sk/xzrEeSoIKnsYHdE+nJvDDtSLdJQ8Nc6Xv/ZXPwUmExIt6nIIWX3M0iu7H4kMBFhBkTlSPUj2qDTb6ZKqdRa3bp9q7UeOnXZsuZjJ0/ef8WTvpmvd4YZrrPNsRY+1f/Bq7OqlTWWrduQmjl6p4omJ3zRh4nWU3Q/4DNgZwz7r/lekDbNRmA3YE4qk5lQxny9s75FwG+opfmxY10D3I3QiWpPI0lS+s+xLgceQLKD12OLK7G9z70AOLda6csK53ANYitoIB3vccf33JNmI25T8dGl/DncAtxEUmV3UWtzgGMx7OrMRiqAUioF8/vAvL5KqSny75ULnXozdRfk9v9bbfjqSinSM2Z0AW7PWSg5u9qOMjvb5jfOORkNoxZtB/BMFao2RyBSikFP0aOp1FPUzZyBecBoDPsXeV71W6TEXL5oQXvz49qJhzvWz4B3gE2QUlRtkaT0n2MdhQiib4FhF24Iq03sKKUvK53D8chab0ac/rN+/OToUv4cLJIquwszwHMauqpcZkA1UEql6MbtrPO5YpeXoBdr0vY6vRKgU2+mwO8H0KPHGj0aaMx24fPFy0HKqrlnnI41kTI629KmuTawDoqPeuge1XW6+iICs4Dj3xueuhdpiHiiYk9R4YhugWwKf8mjh/p/SPdvZR6fYn7snXXVWjx8O4RkfxiVGreXg2Sl/zxB9BSGfUGMcaOUvqwG3lofHstat0V7ulQStKHkyu4ieVg2M0ChlEL1V6gRCrWvQp2iUBcr1A0KdY9C/VuhXlWojxRqikLNVKgFCrVMoVrIci9L6cHnW8LzB3sr0P463cmhtI7WIzpOKKWydaD+NnhXdqhfn+wigw3nXQGgtdbtbxTEQHos8h96DZfg3Q5p0/wXcuE5LJXJPIJh/w04BeGNbexukOVBmi++GD/gvq4L6ueBYq3QHcKFx9wNaaxpAdbHsaakTXMHRJf2pVQms3OV41+EdEPOBIYW+n1VDWnQmoqcKx7pnjfXFmIsfz1S+hvmZi61h9yYfImcIR6MiLTHB5HNvAa5uRvqZixxxg+u9eFux2m8kBL/bUjJf5hbsYgzfl/E2LwPcAqOVVPZS4WqR0w9hgBDDv/XyIM3/GzV46evuqD53iPefnJZt5ZeCLOgN3Kj3wPpZ+iCMAjClqQ1ci1qRjLgpcBi3mF95gNzd4PZ/eCaR6TFs9B1upOis2+mU4A1AV7uezY7NK7D+KaPOHDBrVO11sPzvklKTIcD7+BYP2n7tEuxWQ4sTWUyfQPvexW5s34Cxzqo7fvCYMrQsw56rc+Ef/Vq7cNBc47dyM0WqoOUeW3EBmtYetDN/wG2B7YuoKpU7vhppDP5AxwrL80nEkj53TNY3sKtJtQW0oxyMtKcsklFN0mVxd0GcSsSPqZUAuKDGDucgGgYbxrb5/bjx7/W7edwA0Id+wJYL4HfwYbI8U8dsLMrHJMXCtUdGIZ0JA92f1ZFqH8DkY2wD/5m2B3ZDBvd8cNuhllkM1yOvxkuRM7b5yOc2TnIzfX37s805MZgjib/ZhK8TrdB4et0J0Rn30xTCD+yRx11fNX/UobV9ePVli/H7zDv+sJnAoY9EWlMuhcRx16BtGmeizQG3ZzKZM4IvKceKc8MBa5yJcPKQto0/wkctfX8XVhn+UYLkbvi0rSVUjDsW4DTNfqz+1a5ZR3qmJnKZKIrzRr2e8g57QPu2V9tIA1i9yENY8Ndzm5tYdivIXzQx3Gsg2sez497AsKFXoRUSebGFlviv4Gcoz6CYx0Wa2yJH1zrNdzehrjn8CwiJfosjlUTDqhCKWAA0oG/uvuzGrDK2lMGbrbeF8Yu8/ou1e9tNu2z5i6tXZGssBuSFXqbYVi0IlnhcrysUL5f85EeizlIRWIGMOP+k0+yRkwestXg7/u+0mfKeTXrHwhepwMPLwFO1VqnaxU3bnTqzRRWLNTvgTUG0mPa9IG/NxpVfTfgZzhWfoF4ac//BukuvADH+qP3VNo0v0HKIf3b8TPFBeIb5O7vOFfUOhTcjHcJkD165um31FF3LlLuWiuSu2LDfhHY6dvGqbzY/9+/S2Uyl1c9pj92I/K5VwV+i2PVTiJPKEyXIJSmNdwO49pBbpKmImv+exwrPnF0w/4jQhv5Gli75p81N3a9G3d14HLE4zdexL3W7eMrxD1pbeDPLh85B26JdChuiRT5P7Aacu0YgAid9EMkR3shWWE3ZCMMVyLVoDRoRTNqRYl0CbIZLkQ2wnnIkcRM92c6Iln5LfCdRpf/u5PP/wmio3yzq6tcEwSv08j37qKVaSOFlWAzbQfxEZyIfIm3RWyR8r1uCPIfqRtwEI71hCt08AEidNCuBOy+b1PgfXf8rXGsd8JMK22apwG3AnenMpmfYdhPIwIRL+JYu4T/gAVg2Gpx3aKWntledVlar61zzqpUGL/Q+KsiNnfdgcNc/mRtYNiPAocAb+JYtVfOEam5qchN0rE4Vnz/yQ37SYTu9BKOVd0Zd/mxByIXth7A0ThW/LZl/lq/gWNtG/XwCtWT3BLpagRKpPUtdQM3+nTVrZf0aKqfPmjBgqU9mjV+ibQcxaRWpETahL8ZelmhVyL1NsOcEmnzqn++viFbl0zZXTiv3yA3BRbi/PMjKkDsm6lSqhuiRNIVuXN7SGs9JvD8X4CTtNa9Kg4iTvePIl/qtd0utnyv886ussCI9KCbb0B6zfYsys8UJ4qH3fGHI8LaRZE2zS8RBZ7VUpnMDPeu8FNgXeCvOFY+iktopE1z34Zsl38fOutnrQ001gMnuqpJ0cGwt0TOuoSeIwo/0UN+Nx8i6lX/QBx5aovcm6StXG3X2kM+68eI8tRtONbpscT1449APEABfuKqd8UZP7jW41zlMmBFiXQV/BKptxkayGY4AOFt9kGywmCJtIGwJVINDa11NDbX09TYuqi1IbsIPysMlkgd3BIpkk1/A3yr0dU3ryVZdheDi/8hNxB7IN60HRJKqTuBA4CZWutNAo+fCVjIDc2TWuvzCwxRu7klsJkqoKfWepFSqhGRsDtLa/2GUmpLpCngp1VtphC+E9U9u2qhZeEDxu09UMxPZTKlRbHFK/EK5D/WsGKdrmnTXB/5sn6YymQ2C4zREynT9AXOwLFuDvnp8sV4F9h85KJtDtp4yahHkAvJ9oiub3QQIYd7kIvNsJqd9Ukp/lvkovlrxDO2tvBvkpYi5feSN0kRxQ1mB2fiWPldhGoX/whEVCLSs2qFakRKo16ZdFX3J6dEqrL0XnVmn3WWd22uW9hreXNLYxbK6yLNIpmhlxV654UL8Euks5DN0CuRepvh9xrd6vJO/+2OsR5izRgfki6752EGxBo/JJRSOyEZ/13eZqqU2hW4GNhfa71cKTVIaz0z9rklWeZVSvVANtPRCKF7ApACPqt6M4XwnaiGfc2kHm+d91Gvd0FzbWpyJlyJ1LD/ifBX38exNi/0srRpPg4ciEe1yR1jbeTcogHYHccqJROYb/z+SAnpm1QmsyaGfRCiR7oMWBdxnokOhv0H4AKkTDW8ZmddwoX8DKliHIBj1d4f07AvAS6jBH2qBnGHk2R2ILzPMchGMwzHalWo3rQvkQ4ifxeplxVWViLVtPZe1LVL92WNLOy5fMbSHs0O/mbYtkQ6HbdEqtHVN/B5EGWk64ibLuXHT7bs3oYZ4PLZOxyUUsOB8YHN9AHgNq11eLW3Wswric1UKVWPlJbWBW7SWv9GKXUWUKe1vl4ptSiSzRRCd6I+uNGo5c2qucvhzskvd3HODS8faNjvI3Jt9+NY7eQK06ZZj9wp51JtcsfYAxFgbwY2KPeuMG2atwGnAuekMpkb3DEvAP6A3I0Pi5xPaNjeDcKrOFbtFHVEredFJPswcaxPaxbLj3k/IlD/Lo61Zc3j+XF3Bf6LZAcbIn6zFcEtkQ5CNsOcLlL3px/+ZtgT6NFtWUO/rNINzY1ZdF3o64KmeBfpXNqXSL/FL5H638sk1rotkqJL+fFHAW+7/0qi7P5XJLn5FPkOdrimmjyb6QdI8rAPkkCcp7V+u+AAtZpXwplpP+RscwzS6bWL1rol4s20ZCdq2jS3Q/PqgJZBS/eZe1h3yulsk/GnIReuduOnTfPXwNXAX1OZTOFzUcO2EHnBucCQcu6K06a5EDkn6pajqiSi1scCE3GskWHHCwU568oAGwF34Fg/j3T83FinAH9DMpWhsZDs/ZukNI5VO43i9nFHA39d1tAyb7d//Xn717eaMhApkXqNMwZSHg12kQa5hV2QrLBcbmEzmmWrzezdp9/8Ho0t9dlZn6/jvEduiXQG7Uuk0V5Akljr9nPw6FL/wrEOSSB+TcruZcR/AdgZeArH2i/W2CGQZzP9CHgOOSL8CXA/sLaOeXNLvJtXKeU1H41G7ipAGg6+1FpHI/dVohM1bZqvANv3bOm968FzjnuEcjvbclVtfopjPRYYexqSFbSn2rQf51bgNKTct1GYu8K0aR4F/BN4JJXJtG9cMOx3EOnBh3CsI0J9nrAQecVpyPnXOTjWDZGOnxvLI9l/BaxT8zvm3JukC3Gsslx03BLpGkhmuBq5XaQD8LNCbzP0SqQNaOpDb4V+F6mXFXpdpG1LpDPwu0i/AablLZHKWfU0JHs9HxGpjxdxr3X7+EG6VFK0oUtpU3aPMbZCfvdrAn9C3Ko6DPJspk8DV2mtX3D//QWwjdY61puQJBqQDKBZaz1PKdUdKW/+UWs9PvCa6DJTDwU6UdOm2RO58DipTGY19+zqU+QMM/zZlQjCv05A1SZtmqOA94C3U5lMOMF4w34ZsY57Esc6oNTL06aZQQzM88sTyqbwNXIxH4P4G0YH0bb9FDkn2wfHqp1fqGE/g3RbP4dj7V6rMG6JdLXdX1x/1Oi/7/DojEELu9xz2Dv/fH3rr+ZQoERKLrcwLNHeK5E20aZEusUHw9ZaY1r/ftk6Pe1f+314D/5mGCyR1krecQiiDBTfWXX7OXhr/V8ca48E4gfpUscgRuNxz+Eh4DDgLRxr65hj90W+Z72Bk3CscbHGL4I8m+n/AatrrX+nlFofOSpZY6XPTJVSmyH+oPXIRecBrfVlbV4T/WYKbTtR18SxZqdN80/AuYAvdFBpZ5s//iJgjfSgmx9EhK2LU21yx6hH7gqHAVfjWAXtktKmORgpuX2WymTWLzJmMDOPXg9V3FdeRH5fGyNi8tFD7pg/Q1w3bkJcONpBoboiWcUwCneR9qV9idRrnCm3RBrkFubrIvWI9t8hm+E0YGbREmnS2YFhb4doPGcR7mP10pflxQ+utY0YnccLny4FwimPhy7lx1cIZ35T4G7EZSnO+EHJw+iZARVAKXUf4ru8CnKDOQaxcrwTOZZpQs5MY6f3JF7mjR1tOlHTg252cLsRU5lMc+B1lXW2ian2b1pomfaAcftgFPNSmcwqZc6xP5JN9qKIklPaNO9Fup9PSkK/zoYAACAASURBVGUy40qMuQXiJVkbjqhhe6IUVYuHK1RfpETarou0salu0KhJw3Zf0rOpfuqQObMX9lmeRTZCj7dcLtHea5zxNkNPi9RTnJm9/3/MoUc8PvJIY1bvJVefOWG3F3f4fLJGx3Fum2x2YNgnAn9HfifRSF+WF7838vn7AqfjWLfFGl/mkAxdyo+fbNldrNoep1bMgJUIP7zNFFZ0ok7p+nnmtb7PmsB/UplMe39DV/OWcjvbDHv8xB5v7p/p9R7A1alMpnwz3hJKTgF5Qg30DGXn5uuhrsjMy55X8fH/0lLXYk0bPP+rdd8Zm2pt0B7RflUKd5F68mte40zpEqkrv1bfWke2Ti/L1uulyMVukfszj+JdpN+VXSJNSvovNzvYEcd6rcQ7oo5/LfAropS+LC/+ukhnbQOwK471YqzxZQ7J0KX8+MmW3cVM/CpqxQxYSfBD3UwVMPmp/g9uOLdhFig2SWUy+Z07XM1byulsM2z10Cp3NjeppvrDnRPv6OKcV1mnay5fNEfJKW2ano3UPalM5vgyxrwCITh/i2yoOZuCWyIdhk+paFsi7YdkCkGHCk+Uux6NClkkzVciDTbOzMXnFga7SL8GZmnjL3sCTyOZ5fqIV2Vt4Uv/vYxjhadPVR832ezAsJ9CaAfRSF+WH38v4l7r9nPw6FJ53aZiiJ902f1u4DhqwQxYSfDD3EyBl9bZf/C0rlO+65HtxSGzjy/ciSob7xSk7Fj0DNND2jR3RPPSKs2rtew176cNwFk41o0VTbSAklPaND9HzpNEnpAVjTP98EukXhepR7QfAPRb8+sBJug+8/ssa5nXb+lSfPm1akqkIr+mWbDnCxtssfr3/XrM77P03cf2n3Q/uUT7bzQ6GjK4Yf8S+DOSgQ6tOck+Sek/w/YoVvFnB/K5/wesRwTSlxXOId61zj8Hjy7Vzm0qpvgnkmzZ/W1gS2rBDFgJ8IPdTD2hg1ELt2vZaOmIeop1ouaeXZXUvE2b5qvAdkOWDz9k5/n7PkDITteAie8wfN/C1Q58apOjujQ3rPvdavMXvr7VV/+rb2JgnzkNay3rmW1d2ju7nHIcKgA0uqGlji5NDUrB8sU9m2ZRuET6Pe1LpMVLnHLWNQ0p5f4cx7oj1LwqgW/cHppOVGW85KT/DPsu4HhgEo41Ira4EjsofTkax7ol1vgyB2+tP0Ea3eIuOQfpUjluUzHOIbmye62ZAZ0cP7jN1LMC+tsGG6zZqBSfTh16xRU9D76YUp2ohr0xcoZZsLNNobqvObnb+sdcO+i9WUOaF/7t8ulXbDJ58JabTxx25Jz+S/RzO3767pKeTV0o3EVaGt55YbMiW6+XZhtYRP4SadsuUq9EKia+whH9BslYz8Wxrg8VPywMe31E1KGk+XEEsV5BDNHH41iFfWyjizecpKT/DPsthJgef3YQgfRlBHN4FdgOeALHOiiB+EFO+UE41hMJzCFax6nyYhuIqXf34xfdNfPe5e8YrKSWauXiB7WZeia12/Tu3ePMYcN4a8EC/jxt2pJ07xPvO6rrqFNmDVg8f/fH/rL/RxtNH0BuiXQAMGDg7J5rrer03mBhr2X628Hz52brdSN+F2moxhlAo8jSXn6tXRcp/lnh9NW+7/P9Z1td8lzPpV1XndTj7dZMr3cXF5QnDAvhiP4PKfPuh2M9XdV47cffF3iSWouHR2DcXkHMyKT/yozbiGQlg4GxONalscT141clfRlB/PjXuv0cctymcKzJMceP1HGqXPyi+44X3djziCs1mi3mXsOk7LewEpp9l4sf2mY6BVjzj7uvzZDpXTn70c+YNbzFL5CGKZJqdGNzvWpsqdNLujfPReWa+G75bO+de8+tr3/hsHl/0PVMxyXaT9rhwtM2+mzQSQ3Zhi+QjaX8X7xhr5ol+41CNb7f67WnN//qvn3LHqP9mEGO6CZErYdq2OcCf0JuDobU7KyvCuP2KmKOBv6K3AANDU2fqj6ugWwoPYAjcawHY4nrx69Y+jKi+MG1jtd/1p/DCcA4kju/rEnZ3e27GED+vosBwADeZdc+3bt17de7O4u7N9G6TivzFiwDyViHRzGPzogf2maaBdQ1e6yDboTzx30h2+BiYBNe2/7NtTdY8+v+AxVq6r1HvHM7shEGS6Tz3BJpXs3btGnui9g4PZ3KZNpvdIb9HLAr8AyOtXcln+E/6+32/Z7zDllVoVoVKhq+qGF7ncG10UM17L8DJ1Jr8+MKjdurjHkTcAYiMLBBbGdYuYLoW+BYE2OJ68cvW/oy4vjxr3X7OQTpUsMT+B20K7u7fRdDye278KhpA/EFS3ojx03dyFXvKp1SaCALda2Kbs2NrLlZfz7+cgaA1lqHVf9a6fBD20ynIIoybSF3VFI++QIx8b4Bxzqn4GB5NG/Tpul1+5mpTKZ96UfG/xIYXnL8PEib5gjgg3WXbPzlVot2Xpso+aK+HuqXCP0iagHz14FtgMdwrJ9GOnZunLKN2yOI+QIiDP40jlV9tSB8XE+XOSlB9JeAHQkpfVmD+MkKKsgcPLpUJOeXCtUTuUatjqh3DcLfDIPUtF5Az/qWul6NLXU9mxuytNZnw2t3+ZrOHjXNSys8M/Rg34Vnhj4NmEY975OV62gXGmiixRvzx8z0hwLvzBQpj3nIrfWH7URt09mWHnTzTUj3q3iKFkJuZ/ApONadYeefNk1Pr3TP1MzRuxO1p6hhPwvsAUzAsfaserzcseMzPy7DuD2ieMlJ/xn2ZcAlyMVujdjEJCR2PXLzFZo2VoM5xLvW7eOvoEu11GVvbpxx1hjk9+E5/eSWSGUz9LJCT9PZo6aVq+ncDCzvubhL3Woz+/TpsaRLa2bD6a9l67VnbjALX9N5Or6mc1Vl+VDX0R8gflCbKfjdvMgXPn8XWthO1IDm7ZMD/jlhfsPcPYCzUplMcU5prqpNqE7XtGk2Infg81OZzEB3HM9T9DUca/tSY5SEXBg+B9YGbsSxzqp6zNzxg+bHtRUPD2ncHmG85KT/DPtR4BDgTRxrm9jiSuxQ0pc1noO31u/hWFtUOoxCNeJrOgfVuzwz9GCJ1O/G13RRmgYdtu9CGpc8g4Nl+OpdC8kVLAlS06ZRzPYu5rJ7qOvoDww/uM00NMJ2orqatw+scntdi2ppRtE1pLTf/sB4pKO3ZKdr2jTHAr8Drk1lMr92xwh6it6JY50S8tMVm1dQD/U0HOv2qsfMHX8EYgwPtRYPL2HcXoN4yUj/yffgQ8AExuFYJ8US149vAh8gn7ud9GVMc3h/Qa+lIydu/N2TOz15w4346l2DYIUHbLBE2oO26l3hEbS9WwYs7rK8vmmLicPW7z+vB5M3/H7ClDXmZJBNMGhw8HVe27uokHTZ/QeOHzfTYgjZifrG2ofd+GX3T84csmx4684L9l019BmmYZ8HXIOUY4YW63RNm+YM5NykVyqT8cs0tfAUzdVD3RnHernqMXPH98yPa3vWVcK4vUYxk5H+E0H0b5EM6lc41nWxxPXjF5S+DAO3i3QQkhUGu0gN/KywbYnUM0NvQFMXWrLEL5EuI6jeJQ14XlbolUink1siLdyNnkuXCu82FRU6Qtn9B4wfN9NSMOxxwAkU6URNm+ZkNBsdNPtYemX75NW8LTK+p2pTbPztEF7bS6lMZuc8Y0TvKWrY+yCdybXRQ/XNj2srHl7EuL1mSEr6z7CHIV3FXYD9caynYomLlEifO/jMKxTq/KlD58w/9fr7Lm/u0roK/mbYF38z9LJCr4u0Utu75fiCJQu7LW1ceuAz5g6rzO5V/+FG3/3zlW2/fBH5fnkl0uK2d1HAp0uV5zYVXfzky+4/UHSazVQp1Q14CV8k4SGt9Ril1B2IXqRHZD5Ra70o0uCG/QawNXk6UdOmOQT5z/pZauboycDBwOs41nZljP8msBXwCI51WNun06bpKfxsm8pk8nsK1sJT1LDPAa5D7tSHRc4nNOwHgcOBt3GscObplcUJGrdHbz+XP2Yy0n+GvQPyPcgCZljesGt751EqVie3izRYIu3p/nSjOtu7JqQy4W2GwS5SB/+8cIUHbKgSae5aj8Cx8htY1BI+Xao8t6no4idfdi8BpdSdwAHAzIDJ9/2I7jXI922e1rrTiOp3ps1UAT211ouUUo3AKwiVY7LWeoH7muuQxbkq0uBFOlHTpuk1P5yUmjn6H/hnV3/HsU4uY/xvkIaHtuP3RMpPTiqTWa3EOJF5igbGvAM4GSn7blIDysxEYDPgHhwrvPtN+XFyjNtxrLk1i+XHjEX6zy2RroZbIj3moS1+uu5XxnHTV13QdNdRb45v6tram9wSafm2dwKvROplhUH1rvm4JdLRd+xw4PpfDlpNo18/98pHf4NfIo2n09awjwfuIs61bj+HFxC6VHi3qWjjV1V2rzWUUjsh63OXt5m2ef5PwHytdafR/+00m2kQSqkeyGY6Wmv9pvuYQsorU7TW0QtQ5+lEDXiKZpGzzMo1b3NVbY7Gse4HSJvmn4Bzgd+lMpnLQ4zzF8BC+LKVKS21H/M1YFvgcRzr4KrHyx27K/L7Mqi1+bFr3E6UdKLi8UJJ/wVs74bgUyq8xpmB5NreeSXSoKZzJSXSoO2d10U6x/2ZiWSF3+M2zgCzQpdI5XN/g2S28ZxVt5+Dt9bx+s/68YN0qWtxrF/HGl/mkNdxqqNAKTUcGN92M3Wv5V8Du2mtP0tgahWhU22mSql6pBN0XeAmrfVv3Mf/jhCnJwP7a62X1GQCbTpR04Nu3gLJBO9OZTI/C7wueHYVXvM2V9XmJzjW+2nTnIN7EU1lMuH+Mxj2BGB34Fkca69Q7yk+Xj2yKQwBfo9jXVz1mLnjD0EoObUXDzfs8cD+wCs41o7VDhewvRvq/gS7SFfptqxh1REfDd1tUc9ldVPWmOMs7tkEudzCam3vvBLpfPzGGQf4/p+nnPT/7Z13eBTV+sc/J4UAgVCHXi2ARgGlKJarCNZr76LXetWLjl2w/ShiuTasa7kW7GAD21Xh2hVFERVQFFEx9DK0QAhJSPb8/jg7zEyy2WyZnQVyPs+TR9kk5z2TTfbdec/7fr/mXvPb92+3uulnrX6/cXCq15oQrrEx4BQsc0qg8dUe7Oc6WP9ZJ35CblNp2sNE4CxgNpa5T+DxYxAjmf4NuF9K2T8T+0qWHSqZ2gghmgNvAldIKX+OPJaN0gv9Tkr5bNqCuzpRJxlPrJZCdsXlKer6uuQ0b531Sz9s9tYFVt6KV4Fpw+bNOyqBPbqVnB7CMq+O+3trX7MVKqGmRw81KPFwryfpU8K6YjhOidS+K7STYUuc2cICnNnCxEqkttNPVRZV2bJMZslSVDK07wq3lUiJ3kW6PKkSqbrW31G+t49imWbCa6SCEeoPfEuQZ9Xe+Jnzn3X24B6Xiuo2FcAevgf2BV7DMs8IPH4txEimjwN/SCnHZ2JfybJDJlMAIcQYYLOU8j7XY4cAI6SU6Z2xMkJji7PWj3mv1SsA84b9Mq9GzT/ydclp3hqhW4HRZWLL1imtnssli72GzZuXWCOFV8nJn3lRrx7qQN9nRJMQDxeIRjiJ0B60N/B2kXoH7SV52VVZDcNZYRIctLdnC+0u0k1EL5HayXBp5GONNB45nUxI/2Xah9QIDQNexk/py8TiN0Jdf/D+s84eMjMu5cTPfNk9CtGSqRAiB/V89ZNSLs3Q1pJih0mmQggD2Cql3CCEaISygboH+FVK+Uekzn4vgJQy7XJu/9v9sOVrGqxqv1/x4N93XRrqUesXOpq3fwG7xnuGWWk8+E4OOcety7EqWq64NS+pTTpKTtn4NS/qox6qy6FiW4n0H68OOLd5caODlrUv3jzl2DlfIGiOekNQXX4tl/gbZ8BbIt2SszWrYo8F7To339hILOy65ptlHYrn42iR2meFy4ElEunPeEOmpP+8c8ODsczPA4nrxL8DuJmgzqprxu+G4z97BJb5UaDx1R4yMy7lxM982b0atSTTo4CbpJQ1RwC3c3akZNobeB6ntPYaSpPzS9SLrUCZdw+3u3vTxcTCwmxgS3Y4J/uMNRdnUVcnqqN5+zGWOTSuGHsUPnnM+tMvbl7VCuBFLPPcur6nltj+e4oaoVHAuIqcypU9Z9w+qKjbWvuOsD2qTFqbQ4V7tjA+hwqFRN0V2oP2bvm16iVSW4fUXSKN/uLtHbL3Z5yoLjIl/WeEjgCmkq654brjvw0cj1/Sl4nHz4z/rHcP9riUx20qwPiZLbu7EEJMAg5FvVasAsZIKZ8RQjwHfCOlDLaC4gM7TDLdnphYWDgCuEdI8eRZ1r9Ooq5OVK/mbQjLvCKOGJuywlkNzlhzyUaBaB1z/bqoRckp4lBhzxW6u0jtZOgukXq7SGWkcSb+Eqk9W+juIrXN0G1h7tXA6qwqln999HWP7lrUumvz4saP56y68rKkrjsejNC/gMdRSblj2ofsMyn9Z4SuBB5C/bw7+T43HDu2AH4G9sQv6cvE9xDscx19D4GMS8WIn9my+06MTqZJMLGwcCkqAbUYtnp4E1SzTx6xOlG9mreXYplPxljfttaaMmz18Ctd6x+LZb4H20qkrXFKpLYodxtqyq81bbopr62EvPK8Srk1t0oiEp4ttM8Lt80WDvihy27tVxU0KW9Q9ee0Ib9ORpWwVuAM2i9J2qFCnfUtjVzDZVjm40mtE1+sEHA5fo4TxY6XOek/I/Q0cBHKB3PPQAUFkh0b83cPwT7XNeO7x6XGYJnBz1Fmuuy+k6KTaQIIIYbt0rDhveO6d++wuLy84uaFCy+QUk7ECB2AKjfH7kR1nV2tLygd3PLPG4qIYuLb+8v8MysbyIIFfUt/qswjr0F5dov80jyjPG8rpY22ViISni2sAioKihvmNd2clyOkKFnaccOvOCXSNXi7SJfjOFTU/ofm1b69Ccv0Wyyjhvmxr+t7Y6Vs3J5gvIxJ/2GEbEWtd7HM4wOLq2L7L32Z+B7s53oalhl/l7x/8d0z5adimZMzsIe3geNXhjcuaL/uljy0+0vK6GQaJ7aH301dujTeq0kT7ly5iHntNpdyBg8ymgXHTtvr7z3+ME5b2WbT1tdP+PHjrQ2q8vGWSBsCeSJMA2nfFcaXDquAytyKbNm8uFHDRmW5cln7DfOrcuR66jLxhQ2eQft0eIp6tW9PwDLfSXlN7/qHAR+hysQ9SZd4eIrG7UnGTEr6z4e42agX807AXVjmTYHEdeL7L32ZWHz3c30/lnldoPHVHtwz5f2wzDkBxxfrw6VLWmQ17vjMlq/55+ZJ9mfqvS9psuhkGidCiKIc6Dphrz0obVrFv76u43VPAsJr4ktEi7TtqqYNe/3RtmP+5ryKDw+dP2lrg6qVRLpIzWs7XtDtl4ZD8zdlX/yvr3572rOmEbLVkBahOmkTf/LS4SnqzIimRw/VCF0OhEi3eLgasl+MamhLyLg9hZgXAU+T6PhU6nHdgujnYJkvBxLXie+/9GVi8TPnP+vs4UxgEiqBdUnl/FIgsnG0lT2VLqI3AzZstCanxeJBt4lWG/K5qt9kHpm2rcl7kZSyW7J7qa/oZBonQohwQVaWuPbYLswuLOGtwWvsthnJZdxGxMR36mnDr9/7lw6D2qwp+Dxn1ZWH1rpgFM1blzyhBPKj+qIaoanAkcDnWGbt68ciHZ6izoxoevRQjdATwKWk2/w4CeN2H2I+AFxNguNTPsQtRHXAC9TvwaxA4jrx/Ze+TCx+ZvxnvXsYB4wKI1e0m3fzEVabknY4zYAGtTcD2kYDyXuxrqagyx8t+OySqzi5zVPM/nTb+KuUUiYydqZBJ9O4EUIUoXQ2q+N9F6dKSL8BuwOPYZmX17poNc3biYWFtsjDS8PmzYs+aqPWX4CSVIy9fiyM0CnAG/jpKWqE7gZGki49VCP0OfA34H0s8+++ru2Nk5Bxu08xpwFHAJ9gmUPSHs+JeyJKTawM1YySHm/Z2uP7K32ZeHz3c71rMoIKrmbALjiJ0O6Mbxn5qO7Fuk1Scsq5/8w66YM+fN1vIQdOjdmTFbXShTMitgHVFW/hnZe2mwE9s61xv6Zp4kIn0zixz0xRfwg20c8X4u1EraZ5O7HN42egpN9qyhPWXN9WtUm+09UIjQZuxU9PUSP0Hkon+Qss09/Ba/VGooggzI8TMG73KV7mpP8cQfRVqJJrcILo6ZC+TJDyDg+ObLA1++6tOVXFneaOutwySgxUibQVNUuktqSkbUyeVDMgrnnprEo2/r7fmD13Wdy6yUcHz//18CmPvo4zL+1uBvT1xTqh1zRNnehkmgCRX747iafzLd5O1IjmrUTmf930IxY1+uPnYfPm7V3nZvzqdHU8RWdhmQOSWsO7Xnr1UIMUD4/DuN3neJmT/jNCtpXgj1jmvoHFVbFTkr4UiKY4d4UdcEqkBuqu0C6R2neFjXBUtLIBnr/sH5z7+kB+6rWc3p//uzZtLfeImG00sBmvF6vdFb8aJxHW7cXqHZcKbGwoodc0TUx0Mk0n8XaiGqG9JeE5EsSP+TNG9iuaFJ84gxEaipJVTK3T1fEUfRnLPCepNbzr5aNeRNKjh2qE9kSd9aVfPLwO4/Y0xMuc9J8R+hHoC0zCMocFETJSIm1zw0NDD7jzjuNeF1JkXfzAxOeeOeebLdScl7aToX1XmEPiXqxuFS27RLoBKF4wYPSBuxcZxtxey+b2+fKuf+OUSJdVL5GmhWTdpjTbBTqZpps4OlEnFhaKzmXdKw7aeGSOQCR2humo2qxHqbokLpLg9RS9EctM3Q/Wq4c6FMv8JOU1veu7zY/TJx4ew7g9bWRK+s87N3wLlnlnXd8S8WLtSOwu0gK8Klq2pKSnRHrkx3vw/pnDqWhQye4zx7G04wZ3qOperLak5Ea8kpIWjhfrUtRztzquEqn3uR6HZY6p83v8xhmXqiIRtylNxtHJNAjq6ESdWFh4LTB+v42Hzty1bI+BJHp2ZYSeBC6ubf041/DfUzTdeqhG6Ebg36RbPLwW4/a0EpD0n0A0wxmp6NB3bsddvj1yxA25lVk5l4yfNOvpc2eUo0qk+ZEPu4s0WS/WCpy7QtuL1S6RWs9dfk6Pc18beOzWnKpN+08df+iPfZb+LpHBjc14n+vTsczXA4vt7CEz41KalNDJNCiM0BfAwUTpRJ1YWLgE9e6+xbDVw58ETgd+wDL7JbD+l8BBwHtYZnIWdOnwFDVCw4HHUC+YnXyfETVCLwFnk27z4yjG7WmL5cSMKf0XKZHaXqydUHeE9nlhtBJpXF6sA77vwoxjrkMKSd9P7mbenivcRgMeSUnU8+ruInVLSi5BlUgTa2iKMjaW0PenSiae65p7yMy4lCZpdDINClVCWki1TtSJhYV9gNnArGHz5g2IfK19djURyzw7gfX/Qr2wJt/pmoSnaBxrPgpchjoP6un7C4MRmgX0A17HMk/3dW1vnG3G7fjgSRopkXbGKZHaxuR2ibT5rMNG9u/3U+f8qYN/KTv6tcfL8M4WJtJF6i6R2neF0bxYVwIrPzzZ3HvIlz1uB0oEwv+54bowQjOA/YG3scwTA42t4vv6XCe5B3tcKm63KU3mqDfJVAjREPgCp0T1hpRyjBDiZaA/6l33TOBSKRN8Jx0vXtWZ87HM5ycWFv4POBw4fNi8eR9Fvi45zVvv+udimS8muc97gesja3XzJfkZoc+AQ4CpWObRKa/nXTsXtdd2pFs83AiNBcZI5MrDX3+098eH/taOiBcrjtFAa5y7wuolUrtxJq4SaVZlFkX9xtJpeXPuu/zj8pFj396Auit0l0jX4e0iXUbkvDAlL1Yj9G/gRjIhiJ4O6cvE93ArMBp1p9050OtX8d3jUnG5TQWFEGICcCyw2vYjFUL0BZ5A/Z5XApdJKWdmbpfBUp+SqQDypZQlQohcYDrKtLslYIuMTwS+kFKm06GkEHUnmlUuyg6ZbDz7GVA8bN68VtW+LjnNW6+qzSAsM7lfZiP0PnA0qSgtedcTqDvnrsB4LNNfA3ev+XGd4uER+TW7RGoP2tvJsCXeEmk+ri7Syef9M+fk9/uImX2L2O/D8XXtLJoXq10ire7FahsNuL1Yt2ZU+s8IvYt60ZyOZR4cWFwV23/py8T3MBk4maD9Z534cbtNBYkQ4m+oN3QvuJLp/4AHpJQfCCGOAUZKKQ/N4DYDpd4kUzdCiMaoZDpcSvmt6/FrgNZSylvSuoFIJ2qYcOVbLV/MKcspvW/YvHkjonzdQGAGiWreejtdd8EyVySxR4E6q+sBPI5lpu4p6qMeqkA0wkmEHYD2J/23915vXHjRuVLAQe8+8P03A4tyqDlob98VJloiLY98lGZVsmn+AaO77/6X0fh/h/z615FvPPYerhIp6k5uMbDOt0H7TEn/qd+DX4BewFNY5iWBxHXi+y99mVh8AcwF9gKexzLPDzS+2oN7XOoQLPPLwPcQBSFEN+C/rmQ6DZggpXxVCHEWcJyUMpARq+2BepVMhRDZqD/M3YBHpZQ3uD6Xi3Khv0pKmf5fViN0o0T+u1xsYX7jn5r3LXox+tlkspq3jqpN8p2u3nlRE8t8NOE1aq7ZSyJ/ArKePvvr8y558JX1qGTYhpol0gJqyq/lEmO28IzJ+zLpX+ezuXEFXX8YzbpWpdXl12KVSFehSqTLqatEqsaJlkb2m7xxeyJkSvpP+ZAuRd2xX4VlPhxIXCe+/9KXicV3P9cjsMz7Ao2v9pCZcakYREmmewDTUG/4soADpJQZ32dQ1KtkaiOEaI56UbpCSvlz5LGngM1SykDkzCYWFh4wqHjIV93Le0BdnajJat4aoYnAWXWuH3uNbigt4Bwi86KREmkHnDtDdxepXSJ1O1S4Zwtzjp26l3jnH5dQllfJbjNvZXmHWnucopVI7caZ6iVSW35txfLC289st7rgCoFYBnRN21mXGieqYdyeVjIl/ZdpbOJ4jQAAIABJREFUH9J0SF8mFj/457rmHuxxqbWo5z4t41LxEiWZPgx8LqWcLIQ4HbhESllvGqfqZTIFEEKMQSXP+yL/vw9wspQyHET8iYWFXwIHnWZdND9XNuhFXZ2ojubtl1jm3+IOZIR+QF3ba1jmGQACkU9krhDnvNC+K6zhUHH4pz2bTD3j8iaVOVX0mHEbi7quizd6GGe20N1FuvGeMSe0uP6xIb1K8su3dJ496u7i5mVL8ZZIN6RUIjVCbwEnADOwzAOSXqfuOG5j+L2xzPlpi+XEzIz0nxE6BPiUzPmQvgachl/Sl4nHD/65rrkHe1wqM2NDLqIk02KguZRSRnpUiqWUBZnaX9DUm2QqhDCArVLKDUKIRigZvrtRieRCYIiUMu3v9IQQwxpmZd35VM+eXUuqqqpuXLD4/A2t772XujpRXZq3G5uUvdDsrxEPorpIbcWZNnhnCwuAJg0qshov7nN7qzZrmohRN74XvuO6acnIr1Vc89ihjB9zcrNNTcqqOv84+uuNzcvcijPu2ULboaLun6WjfTsXy+wT577iQ/28fgb2BJ7FMi/0dX1vrAuBZ/BznKjumIFL/0Xi/gt4HFUZ6Oj73HDd8WcDffBL+jLx+PZzvRF1h5z+57rmHqYDB06t+GXL0Rsfb0iGNHWjJNNfUX0onwkhhgD3SCnjn5XfwalPybQ38DzOsPprUspxQohKlHOLrTIyRUqZltEK26XhxN4tG++9d1Om5q3ju4JNFd0Gtfx4/tWjDm+wNTvnkvGTfnr63BkVuEx8Ix+5+SUNchb3HSdaFDfmyjvfIHTxF7HCbXOoaLeyoGxh/7EtG5bniAsefun358+auQhHlNvdRep2qKhZGnWUnBagFI38GJmZCQwA3sAyT0t5Pe/ajVDXk37xcD+M2xOLl7D0n4+xQ8DlZMKHNB3Sl4nvwX6ui1DHLoG+iOaLvHN+bXHLC7lts8W41h/wxPSvIGC3FyHEJOBQVDVrFTAGpcD2EOpIqAw1GhNsw1gGqTfJdHvA9g9sVJzFlgJvNXnf2Z2YeeQIpJDs8/Hd/Fy4wu1QUU6kcabXgrZlcw+5qV9OZZa4ePykKc+cO+N7nPPCpZGPmiVSI9Qf1WAlgX2wzJ+Sugi/PUVVUliEusO+Fcscm/Ka3vW7ov7I0y8e7odxe2Lx3ONTJ2GZb6U9phP7E2AwMA3LPCqwuCq2+7r9kb5MfA/2c/0plnlYot8uELk4PQcdUb//bXDUq5rhjGZ5NY3D5CDY1o8+sH1XZq5cBNqHNKPoZBogQogwIHa9vyFVbaFocZktyy15mcEzh16/T/85XR4QiM2oxpm1URdKVvPWCJ0NvIRKzLWvH3sN/z1F062HaoQORomHV5JO8XC/jNsTi5nc+FTqcQUqoXUD7scyrwskrhPff+nLBCjY1LDZpydcOXd165IuXw9c+PHt10/7CMcD1TYDt7vRU9U0dtu+lfIT3dgITYobsM/GTnw5fKHqSwcppYz3GEfjMzqZBkhczvZG6A7gZtTZY+2dqMlq3vqhapMOT1GvHmo/LHNOymt6178YeBJ11tc5beLhfhm3JxbTfpOU2PhU6nGboc7rCoCLsMwJgcR14iclfVlN07gDjpRja5zRrGY4yTAuTeMoVLd9sz1QN6HOXGMJdtRq+xbX64gmcHQyDZC4ne2N0NvA8dTViZqs5q0Regc4DvgayzwwsavYtob/nqJG6ExgEunSQzVCD6JUrxaibNvS88vvl3F7YjEzI/1nhHoBP6F+Dw7BMqenO6RL07jj6HuOur6gpOGxizuuL374ks8nI5SmMY4ZuFuwIxVN43Jqahqvb7O6SeWlLxx0ZtvVTbOm7/fnqFdO+WEa6s3USt8EO6oR9+uIJlB0Mg2YuJztvZ2oE7DMi2pdMBnNW7X+PGCPOtePvc5xwDv46SlqhMYBo1DNUF18TwpG6ENgKPARlnm4r2t74/hj3J5YzMxI/xmho4H3UQlndyxzSawvj9i+dcHpRrdHs2orkebhv+1bMUqww+5GX4nTjb5UIuPv0vU+14EIKsT1OqIJFJ1Mt1fi7URNVvPWq2qTfKerEboBuAs/PUWN0JvAicA3WOaglNfzri1Qvq27AA9jmVf5ur43VurG7YnFS7v0XzVNY7tE2vagGbsMbbe6YJDVqmTrFwf8MUdmeWQcUymR2neFtWkaryXMqglXnT1y16JW7RuX5r004ON7L0zY9i1VAvKf1Wy/6GS6PRNvJ2qymrdeVZvkO12N0IvAOcAcLLNvUmt41xOo0mEh8ByWeUHKa3rXd4uHX4JlPuXr+t5YqRu3JxYvpvRfFE3jtpEPW73KLpG6k6Et4xhfiVRdYRiRmO0b6q5wMbAm4RJpOqQvEyXo51qzXaGT6fZOvJ2o3rOrg7HMr5NYP3lVG8dT1J95UTVPuAx1Z34dlnl/ymt61w9OPNwP43a2Nc40xymRtiNKibRBRXardqsKdt/SaKtY17x0S1VOOIs6NI2j4NY0thtnomka2yXSZcDytbvd9VzL4vwBwBQs85RkrzUplPTlb6hrHYplfhJofLUH+7n+L5Z5XODxNRlDJ9MdgXg7UZ0zzHJg17jPMI3QJcB/6lw/9hr+e4oaoc6o5qoGwN+xzA/q+I5E1z8KddaX3rOuiHF7ZVZl57mFyx/r98m9L6PKo+4uUrtxprrt2zZNY+JvnJEiTFWjstycvPJcNjUpW1WZGy4mEdu31K7V9iEdh2WOSXqt5OIfBnyEenPYI5Czam/8bNSxS2fgbizzxkDjazKGTqY7CvF2ohqhEcA9qBfKTnGfYRqhRwCTVFRtEvQUjXPNg1B3zmGg0PcZUSN0DXA/cYiHu0qknXAE/tuikqG7RFqzi1RGGmfiS4c1bN9QiTBWibSm7VumpP/SPTdcd/zLgRDqTUPnDEgeZs5/VpMxdDLdkYi3E9XRvP0Z6J3AyMzHwGHAh1jmEUnusR8wk1SVlrxrXgQ8jZrN65TMnXOkRNqSKCXSQ6bvdnTD8pxdV7bZtGXOXssWImiK0zhjd5EmWyLdZvvWZFNe5eCvdt+3xfrGzBjw18u/72bNwbF9W0q8msaJkCnpP+/c8AAs88dA4jrxHwOG46f0ZWLx3f6zg7DMmYHG1wSOTqY7Eol0ojqat5OxzFMTWP9PoDvwEJaZnB2dMy+avNJSNco63v/AKmPT1Qu7rVk+ZHLoapldQ36teonUY/tGnI0zQoLMYivOoH0pThfphsjHWtRd4WpUeXRZ5GN5VE1jN34YtydKpqT/jNBpwGuka2647vifocbGPsAyjwk0toof/HOtyRg6mSaBEKIh8AXOXcsbUsoxQggTuBrYFTCklGt8Dx5vJ2qymrdq/aWoOb/kO12N0O3ALUSUnIR1RUO8JdI2xC6R2neFdhdpvNjya9W7SN2zhXYy3FYi7V7UcumC/cbMyQlndQTuwDL/L6nrjgc/jNsTi5c56T8jNBYlgr4Cda3BiEmo2O6xsfuwzBGBxXb2YD/Xq1FVlWBHdlwIISag5pBXu5xe+gBPoP7uioCzpZQbM7XHHRmdTJMg4tWXL6UsEULkAtNR55nlqHOaz4D+aUmmAEaoB/CzlDLn8OLQqo8rF7Ql2uB2smdXav15qCR2iLCumI5Kel1w/E9tM3C7i9Qtv9YYaJizNatxOEtmhbNkvGeFbvk1dxepapyRbDjzzX0Hd17WoqAkv3z64xdOfwLH6WZZyiVSI9QK9QYkHzgby0zfELwfxu2Jxcuc9J8RegM4BZiJZe4XWFwV23/py8T3MBE4ywqXFLVZd5MgQ0ILQoi/od5YvuBKpt8B10spPxdCXAh0l1KOCmpPOxM6maaIEKIxKpkOl1J+G3msiHQmU+Df+cffdUOjw2+ooJLd149jaXgDRJcm3Kc8p/K7Ze03MG7EBxc9f9bMMtTdqkGMEmlWlWicFRZ5VdlhpMuhog622b4BZUi2dF/Uymi1Lj9va27l8jl7L/8KZ5zCLpEuxZFfq/uuxXtnfimW+WRcO4sXI7Q38CPqigdimemzkIpi3J5WMiD9F4krUOeHewMvYpnnBhLXie+/9GWCWK3u+svIatLtlbLvOavkOfvhwCUAo3iQbgSaRQy9OwPTpJR7BrWfnQmdTJNECJENfI9yCHlUSnmD63NFpDmZCiGKrm44uOv9TU5ibZPNdH5lFGVGJTSlCoMSUiuRlgNlzYob5nRe3qJl/uYGlbP6Lv6oKkfa/qfV5dcW1yq/lg5PUe+M6GAs8/OU1/SufzIwGdU81B3LXOXr+k6cXNTPpi3wf1jmHWmJ442ZkPSfj3HzUG+cWgMjscx7A4nrxPdf+jIKkUa3DqgKji2X2KbBU1nXLPr3bU3bbmrK/x3yX+6c/D/7WwIVp4+STL8G7pZSvi2EuBa4VUrZNKj97EzoZJoiQojmwJvAFVLKnyOPFZH+ZBoGxNNDzuLCOYM48z/P8tpxP6oCaWPWU82hou9PHdv1m9O5Z9OShiWP/PPzMVU50h60j+lQgRF6Fjgflbz2SnJkxj0v6o+nqBE6AphKumZEjdAoYBzqTUOXtJ11eceJTsEyp6Qljjfm9cC9JDo+lXrcjqgGtzzgWCzzvUDiOvHrlL50iejbconu8Se3iL5dxal+tl9rDafNqib81f9W1jbbTJd5o+2HA7VNi5JMewEPo67tHeBKKWWroPazM6GTqQ8IIcYAm6WU90X+XUQAd6ZAV3Kgd7gjc8Pb3mjX/k7X0bz9FsvcP+5gRmgGsD/wNpZ5YlIbduZFq/DLUzTdeqhG6FXgdOB7LLO/r2t74/hj3J5YzOeA81Bn43sHODJzAPAl6khgbyxzvl9LV1OI6hD5sM/2WwMt3z7n4v7HT+ttzOuxomKvr+4sxtENTlZEvy6FqFXAao7lbv6gbc8lbfmrdC0VVNrrZPTOtNrnegAvSSkHBrWfnQmdTJNACGEAW6WUG4QQjVCOEXdLKf8b+XwR6U+midsweTVvn8cyz48rmFfVJvlOV0fJKel50ShrPg1chLI829P3pGCEfgT6AhOxzLN9XdsbJ3Xj9sRjfgsMJGjpPyN0PvAs1XxIIyL6dom0I2wbf7LlEn1RiJo59HoGzOnKlGNmV57y/DMb8Yrou8ef3Gf77vGnhKsU24ttWpQ70zZSytVCiCyUN+xnUspgfWl3EnQyTQIhRG/geRwXjNeklOOEEFcCI1HvhlcD70sp/5nGfSRuw+TVvB2BZd4XVzDV6boY9WJwFpb5SlKbdpSc/kJJHqb+C2iEpgMHAu9imcenvJ537VzUz8sAbsIy7/J1fW+sYD1J1ZukJaiklbL0XyIKUQ/feEq7K545NH9Rx3Vylx/GhMNZZJG4z6h9V7gFx3DbHn+yz/drKkQZj+Tgt/RlHGTaNk0IMQk4FPV8rEKNLDVBiXoATAFukjopJIVOpvUR5wwzsbMrI9QH1XQFsF/Sna5+e4qqpFCEehG/C8u8KeU1veu3R81pNgROwDLf8XV9b6zUjdsTi2cARRLZ+K8uay/c9ftbZ1NTRL8l3vEnXxSiPjzl8pyhX/TK+br/wi0HfvDAAqKXSNOjEKWuexF+Sl9q6jU6mdZXvJq38Z9dOao2yXe6psNTNN16qEZof+Ar1M+rD5b5i6/rO3GSMm6PlEg7oe4MbRH9uBSi9pnTKWfmESMEwIAP72F275iNrhJ1V5i6QpS61gWojvjHsMzLCRIlfflt5F/9sMw5gcbX7FToZFqf8WredrHPruL4vrGoElHyna7p8BT16qHuh2XOSnlN7/rnoc6VSlDXvd6vpQUin0iJtN3Kpt0X9h/7YMPy3MYPXvrpd9fe/uZK0qwQddGLg3KeuvasnhUNKqv2/PKOZxbusnYxNUukGxL2Ga0L5UO6DHVtw7HMJ3xdv+74tvRlKeo5Tf9ZtWanRCfT+o4RegAlgViE0g+NVxT/deBUYBaWOSDJ2P57ihqhE1GjSmWoc0d/Z0SN0N2oc/HFqJ9XVaSLNJpClLtEat8VblOIwukirVEi7bKkBQv2H0Xu1hyOmfQ404b8Cl6FqAq8jTPuEqmFUyKNXyEqU9J/RmgXVANZDjAEy/w0kLhO/HHAKNTPqkugkoeanQadTDVghP4HHA58gmUOSeD75gC9gZexzHOSjO2/p6gRugW4HZVMOtd15ywQuagkaM8Wtkc1zrSKfLTANVs49bTLjCM/2yP3y/3+kH/770NqifjwKkQ5ydBunFmP0zizavQ9RzUfe+8xtwFVGwq2FLb4c6S/9nPRyJT0nxEaiuqK3wr0zIAP6VvACcAMLPOAQGNrdgp0MtXYZ1e/owT6H8UyzTi/Lw9112MAN2KZdycZ/2rgAeLwFI2GQDTFuSvsALT76qhrzj/g+116Lui+urjnzNt+wimRNkadFzYgyRJpVpjy+fuNyt+9qE32yyd/t+6c/7wwH+eu0C2ib8sl1q4QVRd+GLcnFi9z0n9GyAQeQb2p6Oj73HDs2O6xsWexzAsDi63ZKdDJVKNwnWG+Wv79hDM3PTeEeFr4larNH6iy5fFY5ruJhI2USNst7jPuic7LWxy/psXmFW1/ufnJcE7YbpxpQc0SaR4xSqQ2PwweyT4/d2bSSbMY9uTz1UX0t/mM4twV2iVSOxnajTNLaihEqbO+JZH9XYFlhhK57oTww7g9sXiZk/4zQv8BLgF+A/YI1IfUJX35dvncl07c9NTBZGiMRbPjoZOpxsEI7RaW4fkgsgcXP8wXlX/Yn6l1uFwg8iafd9HfT3q/zxtSIE967sl73znmZ3Dk11rgjFPYjTP2oL1Hfm360ddw4KxdePvIuZz4Uo1+pGgl0hKil0hXAivaryhYvaTvbW9nhUVrgbgFy7wz5Z+RGyPUDfWinwsMxTI/8XV9b6zUjdsTi5c56T8j9AVwMPAelnlsYHFV7M5VMrxQIHKO2fg407b+an8mcIEFzY6FTqYaD8c12Hvloz1Oa3vD6Hd4q8kcyppVqlTYnEo6sw7vbOG2Eum5rwzkuSvOoSS/nC4/jmFDi9LqS3tE9HHuCjcSKZE2KMtZu3qPOy8oKGnYbFafxa8M/Oi+24GlSZdIofqM6ElY5ltJrxV9/cHAx6hr64VlLvR1fSeOP8bticVMm/RfHXGzUc9ZF+AeLPOGOr4jJaofE3S9teXDJxm9m65uVcInry5g5Zvb7D0Dlf7T7FjoZLqdEMNwvDvwCqoj9AfgH1LKijTuI3z6AfuI1776UT0gcXpIc9mCc1dYijNbWAysfesfF+91wtTe+5U0Ll9j/HbjyWUNK5cRS0Q/GunwFDVCA4EZkSvpg2XOS3lN7/rDgcdQP4tOWOZmX9d34vhj3J5YzPOJIv0XQFz33PC5WOaL0b7MPibA69LSFkeP156vLcCRIIzrmABg0DvdmHFCkf3PQETpI1ZoL6CuKww8KaV8SAjREngVZfJeBJwupfRtPEuTGjqZbifEMBy/FpgipXxFCPEEMEdK+Xga91FEDl0P6r8L0xcuVKeHivjelRuhD4CjgM+xzEOT2kQ6PEUd7VvfZ0Qj6z8GDEc1cvVM21lfNeN2X8aJ6o45HvV7WEQi41NxEHFpsTupbbGJtkDrlusad9vr1/ZDNjYtZ/7uK5eUNarMIcYxQR3YEoR1HxNcg8mftDrI2oXpvyxUX6EI5M5UCNEeaC+l/EEI0RSlOnYiyr1pnZTyLiHEjUALt/WjJrPoZLod4jYcB94D2kkpK4UQg4CxUsoj0xg7NUFuVY78DdgdeBzLvCypjaTDUzTd2rdG6DPgEOADLPMYX9f2xjka9XtRQVCepEZoKnAk8CmWeZj9sEA0o1onNS6XFlQXtbuTOuoxQUwkZFcJqrJlOYIyXGITOPO163Gax+z5WluCMKEO6O1FlN61n7eBUOTjUCnlikjC/UxK2TPo/Wiio5PpdkR1w3GU5+Q3UsrdIp/vDHwQzT7J532kJsitOl2XosprJpb5aFIbSYenqBF6FzgWmI5lHpzyet61BUrAvyswHsu83tf1vbGuBcaT5DgRRDWybouTDL2d1JImzYsbtd+aW5Vdlrc1XJUjIX49XrcEobuTOppLi4UjQbgUWCaNR0YAd6ASZae0ecu6yLQovWsf3VDHP3sBi6WUzV2fWy+lbBH0njTR0cl0O8RlOD4aeLZaMn1fSrl3JvcXF15Vm+Q7Xf32FFUJ7xegF/AUlnlJymt612+GGq9oClyAZT7n6/ouNna97/lVbTeeu2DX1UXHvfyfW2QW7fDJyLoaqkQqqWi1Pj+/cWkDsblx+Yp1LUsX4bi0rMMZKbLHihYDa3yRIDRCE4GzgNlY5j4pr7cDIIRogtLPvkNKOUUIsUEn0+0XnUy3UyKG46XADQRY5vUVI3QY8BHqrqRH0qo2fnuKqnnCpagy5FVY5sMpr+ldvxdKACALOBDL/Kb6l9RiZN0WJUHYGueusBkqEdrJMP1G1l6XFm8zVSal/4zQ98C+wGtY5hmBxc0Akb6J/wLTpJT3Rx77DV3m3W7RyXQ7oTbDceA8YLKrAWmulPKxTO41IYzQ5aiznvWocmTina7KU3QpKtH44ylqhLqiHEtygSOwzI8S+faIS0s7VOOMrcdrJ8OW7VYW9Oi4olmfTU3L5J/d1qysypF5eLtI470rrO7S4imRijDF/3h14JGdVjTPX9Nq8/+ePO+rp0nRyLpOMiX9p34PlqB+zv+HZd4RSNyAiTQjPo9qNrra9fi9wFpXA1JLKeXITO1T40Un0+2EGIbju+CMxvwInCNlAqMm2wNG6AngUlTy6pVUN6jPnqIC0ejREaef0uPPNi8sb1dcdeuID+5d2H1NLo4er90447YsczfO1J0MJWSFBTlVWVTkVpVEmmfskSL7vDBaidQxso6nROqXcXsiZEr6zwi1RZ1LNwJOwTKnBBI3QIQQB6Hme39CldgBbkbZxb2Gc457mpRyXUY2qamBTqaaYDBCnwN/+7jity1DN4Yaklxj00BgRiVh+eZxcw45fcKEElTjTAfUHWH1EmkBNV1acknCyJroEoR1G1kboReAfwBzscw+CcRNDL+M2xOLmRnpPyPUH/g2LCX9N9yz8seqpe3Rkn+aDKOTqSYQckX2sD9bjHmpS3ZLcd+WjxnR4i3oShnD+A+X8QdOF2lLnGTYJPKxzcgaGSmRxlckjcvI+qzJ/foNmtW9f/MNjVZe8MhLp1TlyCVUN7JOBSM0ExgAvIFlnubLmtHjpG7cnnjMjEj/PdV0WOifeYMu3ywr6LpxNOsqS0FL/mkyiE6mmkAQQhQV0LDrkg630bQij9OfepY3Tvyxrm8L43h3bpst7F7UqkXPP9p0yC/N2zzl73MmyGy5ilSNrI3QJ8BgYBqWeVTCFxh77VyUqlN74FYsc6yv63tjjSVV4/bE4qUk/ZfQeI77jVUF+bfffSw3P3wEi9qto/vPY+0lteSfJiPoZKoJBCFEGBB7HNGWl9afx5ArQ2yoKIU1SEYyEjVbuBzHpaUuI+v3gGOAL7HMv6W8QTUysxAl1XY/lnldymt61zdQCkKNgVOxzMm+ru+Nlbpxe5wIRN6Zk/ctfPGy86Znh0Wjhy75bOI1d0yxHWf8H8+x31gtpjUlMOmW85mVu5jxr2+bvApE8k+jqY5OpppAEEIUocQMqpPcnYRKfr8CPYEnscxLU9lfZM1mqLvaAuAiLHNCymt61++HaiIB6IdlzvF1fW+sOo3baxnPcSsYxT2eU/hLe2YfdgNCCga9P57v+i2uHq76eI7diGUbHSSkYOT775NGkyI6mWoCIS0SbenwFPXOiB6CZU5PeU3v+mcCk1DX3gXLXJvsUrHGcxqXNGi9tM9txzff2Cj3tmunWmNuer+cmiLvyYzn2I1YJZGPbWfPIx4Z0vzucSecVpUlt57+zDOnvnns3LkoowPfS83bm+SfRqOTaT0hhhNFH+AJ1HlUEXC2lHJjrQultgf/JdrS4SmqtG/fRyUO/7VvjdA4YFQYubzDz7cMWdV2Uwe8Iu/2eI7dkZzUeE6H5c34Y+AYGpbncMILT2599+if3XeFbpH3dThyfitxSu6JKxgZoZsJSPovk5J/Mf6eTgPGAnsAA6WUs4LYjybz6GRaT4jhRPE8cL2U8nMhxIVAdynlqEzuNWEinqJVMhzec/3tKxeErQ6k+uJqhK5HaSOvQSUFz2xvpETaEtU0k/B4zpRz/5l10gd9mLHvXxww7f66dlN9PKd6iXRt5MNuxFqBXSI1Htkb+Ar1gt8Hy/wlqZ9HIkSk/9aESxYZ626CDOvbpoMYf08S9bP+D+rvSifTeoJOpvUUlxPFZKCZlFJG3m1Pk1LumdndJc7rBRdNOLVB3ws2yC10WjeKUiogRtkvUiLtgFMidXeRtgRaTD7/or4nv9e31a+7rdy611d3bApnbbP+SlXBqCSrkpLf9xvTc5fFrZt8dPD83w6f8ugbqERoz6r6N55jhM4DniNAT1Kr1V1/GVlNur1a/gNnbnrWfninLcPaf09Syg8j//4MnUzrFTqZ1kOqOVFMBe6WUr4thLgWuFVK2TSD20sKIURRKP+0rsYZTXji1Ol8mv+7uidsQSVdWYNTIrW7SOPi2yOuY+CP3Xjr6DmVJ73w9Hq8JVK7cWYNqqy5GqdxZil1KRgZoTxU4mwFXIdl1nmLmjRG6D7gOtQdYjefPUntu/QuqLv0dll3cM95xv7Nt7Sq4K9Fa/n2ukX2l+90DULuvyf7iEQn0/qHTqb1jChOFL2Ah1Ev6O8AV0opW2Vyj8lgj94Mfn13Pj31d3U/KFEF0ly2oEYq3Lq2xZGP6tZf3vEcNUe5BHWeOQ7LHOPrxo1QZ5SheAPg71jmB76u740V1bg9cpfeiSgG3Thnt/asp312G/dderMNDSluUWb/c6caXan+9+R6/DN0Mq1X6GRaj4jmRFHt8z2Al6SUAwPfXIq5WgRrAAAHwklEQVRsG5VoCQc06cbXS4tsVdPU74S8M6KnY5mvp7RezfUPQr0gh4FCLHNBIt8uEPmoMRFb/KC6Qbcab5E0ab0uv2tFblV2aaOKqsrcMCTuPuPMeqo3JpvxGnSvASwu5xoW0mq3lQYbijazZkOpvcZOc2ca6+9JJ9P6h06m9YQYThRtpJSrhRBZqHO1z6SU/s5XBkDaRyWM0D7Ad2EpxaDi+1bOrFzsix5spETa5smrz7yszdqmoxd3WL/l5lHvPlDSpLwZKhHaydBWAHI3MuWQmEF3FZLKZhsb5jXe0kBs3lIR3rihLIstlNOGn9mNOTg6w3Yj0xLUeEtCQvY7++hKbX9Prs9/hk6m9QqdTOsJMZwodgcuj/x7CnCT3EF/KdI9KvFYkzMeHN7woKtKZQXd1o1lDSXQgFKGcjPv8QPqzrD6eEsLorvPNCAB9xkEYdSdoX1XaM962uMt6/GOt6wi0tELrHSf3Z7QoPdVrxdc+GAO2Rxe/AifVP4OaUh0mRxdSTcx/p7yUG46BupuffYO4z+sSQmdTDWaOBFCFI1pdHTXMflHs6LNRjrPHk04N1z3NyrsEqnboLtGifTy8Qefuc+izu1WL93EzQveValwY92JTiDyUGee9rmnLeBQU9ZvFd0Om7V79ocXXEFlThW9Vt3OX+G1sBOVYDWaoNHJVKOJE7vJ6fUjL6JVuDGH3fmI7T8jOYkJOHJ4K3AMupdJ4vefzRai6LcWo7t+f/JiHtt3Ol8U/KEKvQblDOAPopd6Ezv33EI2FXDZMwczcsJQ+i+6lzUlJbCTNQdpNEGik6lGEydB6MEKIcJNyBMdfm3Ggl6rnU+oUm+0mdUalnJET+rLbVk/rWur0fhPTqY3oNHsQNxM9Kaam32MsbiE8q4lF5azv9GVbxYvihjKsUhW+ZbogrgOjaZeoUs6Gt8QQnQWQnwqhPhVCDFPCHFV5PG+QohvhBCzhRCzhBA73OgNQOTM8mKUN6mM/Nfv7tSbgdLlM4r55p1FMBtYRylh/xJdQNeRMWL8Ht4rhJgvhJgrhHhTCNE803vV7DzoMq/GN2LolT4IPCCl/EAIcQwwUkp5aAa3ul2zM3fBBkGM38NOwCdSykohxN0AUsqEzMw1mtrQZV6Nb0gpV6DO6ZBSbhJC/IoSEZAocT9QHaXLM7PDHYNI4tTJM0lq+z2UUv7P9WXfoAzUNRpf0HemmrRQTf+3IzANNVOZBRwgpVxU6zdrND4RTTc38vi7wKtSypcytDXNToY+M9X4TkSvdDJwdeQFbDhwjZSyM3AN8Ewm96epH0T5PbQfvwXVFf1ypvam2fnQd6YaX4mmVyqEKAaaR2zeBFAspSyItY5Gkwq16eYKIc4D/gUMkVKW1vb9Gk2i6DtTjW9EEuUzwK/VhL+XA4dE/v8wlEuKRpMWavs9FEIcBdwAHK8TqcZv9J2pxjdi6JVuBB5CNbyVAZdJKb/PyCY1Oz0xfg8fRmnnro089o2U8l/B71CzM6KTqWaHQwjRGXgBpT8bBp6UUj4khHgV6Bn5subABill3wxtU1ONGM/bbcAJkcdWA+dLKXXHt2aHQidTzQ5HbXOEUspfXF8zHnU2Oy5T+9R4iTH/udRuEBJCXAnsqe8YNTsaes5Us8MRY571F9h2ZnY66nxWs50QY/7zF9eX5aPmkjWaHQqdTDU7NJE5wn2Ab10PHwysklLqRqftlOrPmxDiDuBclCXd4IxtTKNJEt3Nq9lhqW2OEDgLmJSZXWnqItrzJqW8JTKH/DJgZnJ/Gk0y6GSq2SGJzBFOBl6WUk5xPZ4DnAy86lOcqKLpkc9dIYT4LfL4PX7EC5pY1xf5/PVCCCmEaO1TvKjPm4uJwCl+xNJogkSXeTU7HDHmWQGGAvOllEt9ClcJXOdumhFCfAi0RXWg9pZSlgsh2vgUL2iiXp+U8pdI9+3hKLH9lIkx/7m7qyR/PDDfj3gaTZDoO1PNjsiBwD+AwyK2brMjbjQAZ+JjiVdKuUJK+UPk/zcBdrPTcOAuKWV55HOra18lfmLYh40VQiyLcr0pEeP6AB4ARuJfQ1Btz9tdQoifhRBzgSOAq2KuotFsh+jRGI0mTqqJ938BvA0chRKiuF5K+Z0PMWobHzkdKJFS3pdqjBixu+Fc36Eoyb2rhBBFQH8p5Zp0xdZodnR0mVejiYPqTTORs9kWwP7AAOA1IcQuMsV3pzHGftKK+/pQpd9bUHeJGo0mDnSZV6Opg1qaZpYCU6RiJkq9x5cmHVfcbnjHfkwhxFwhxAQhRAsf41S/vl2B7sCcyF1pJ+AHIUQ7v2JqNDsbOplqNDGI0ez0FhFRCCFED6AB4FsZNMr4yOOoJNcXdec63qc4Na5PSvmTlLKNlLKblLIb6o3DvlLKlX7E1Gh2RvSZqUYTgxii6R8BE1DJrQJ1ZvqJTzGj2oe5Pt8N+K+Uci8fYkW9Pinl+66vKUKfmWo0MdHJVKPZjojcKT4PrJNSXu16vH3kPBUhxDXAflLKMzO0TY1GUw2dTDWa7YgYd8Jnoe6CJVAEXGonV41Gk3l0MtVoNBqNJkV0A5JGo9FoNCmik6lGo9FoNCmik6lGo9FoNCmik6lGo9FoNCmik6lGo9FoNCmik6lGo9FoNCmik6lGo9FoNCny/9ck4LPqmSqVAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(first(find_chains(50, False)))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {1: 2, 2: 68}\n", "Square counts: {9: 3, 16: 5, 25: 6, 36: 6, 49: 7, 64: 4, 81: 10, 100: 18, 121: 10}\n", "Chain: 50-31-69-52-48-33-67-54-46-18-63-58-42-39-61-60-40-41-59-62-38-43-57-64-36-45-55-66-34-47-53-68-32-49-51-70-30-19-17-8-56-65-35-29-20-16-9-7-2-23-26-10-6-3-13-12-4-5-44-37-27-22-14-11-25-24-1-15-21-28\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(first(find_chains(70)))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree counts: {2: 1, 3: 8, 4: 33, 5: 16, 6: 10, 7: 2}\n", "Square counts: {4: 1, 9: 4, 16: 7, 25: 12, 36: 17, 49: 24, 64: 31, 81: 30, 100: 20, 121: 10}\n" ] }, { "data": { "image/png": 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5ug2P9p8GsaOAWeDeRLzXNGdpN0ZfRoQNJOBsLNoK+wUZywbgLc89VRjLO/Ftflb8mvqBT4hC4TS62NbgGC97ZTF6+4eoE9ASmiCiiyPo/OvR60xvMYpqxu059rxSSpRSt4YO7sSJ2dSqRcPsbLqGhpLu5UW9oCCm16ih4szmL+LM5qCrnaZsti/QvvT3oDWlLqBAz/WRwu+PcTi+inE4ygO984zGC7O6dGkH+LdftWrHwv79P7l8fIvFkgmk4paahMUOIix2PWGxGcBRtM4m5kG9w2VO6zCiEnP3trXZG4oSxwWvsyX3Bez8PM5s3hxnNlf1DBcPhNvt9ms2Aog4X3prtfSapkdPxVy4PdUqfuLvvTPwl5prLuwioeKmXOD1T3Or1bortaP79tQnw0ge8OG5iZlTPNfvBKarcWo6gELdtboNjwJZrVdTjfL8AGDYTdQSHgkAjHUnr34YsAB5wORGfSuMpvS0fZSacoKSk4TQF034tSynnCkhuTkbZciouZQ6MIqcYe/y28/DaBUTwCltS3gLSiWg1PPcQs0OrvV3qHNroq9MbzGupl4kIilKqUi0OGhNoNHNoPDyZ5JSlM02FRhEcrJ0WbFCPd2jB7GxsVxYvTqvW7lyTpO2anSh9bjsF+Nw5HrOK1h9ngaixGq9JFHmWivBwlvDMUuWONutWWNCq9WcDgyPSerrRnPE3Q70Kf/A6XtLerXo5sCYK6Bl8m4DPvNZWLtFnrchBjgMVBOrVQDizGYLHqlFz5Rry02adNYYGPgEcJ/FYvn+ojFhseHAc8BD50Oy6pZM9Td6jriB4/nk/ri6/KfROb6pluwML9DKmoZ03uN4BOgIDBbhPQA1TkWj1Q6HYmIDL9EARQBgFcROnLofWMEW1rveVZVvZ3OFXBXCr149s5zBzTJPhPiH1UgtC4AgboU6Dqwhff4Rcn/pMvMZaj33IYxbCK8o8OuRRU6TKdBmNF12kDZvKUEGbYWbB3wDDEck/or7/y9IYiqgqL/D4rZL5+9Dd6a3EEU14/YcW4xWH7qMm0Au7c8kDymb7Xm0xJtUunV7PsLtHrNgwYIKu3btyhk0aFDvhbVrL0JbAb7iGT8PiO02depJl8n0DlrdbCWxWq8QnbDb7YfQYqQmi8Vy6T202TYCdwBrF/bv3wp4VYlhhCi3d4ArSBqm30mFvMpKoUhuGuTa80IlY+SSxNXRcUm9SB5wwjPGa8BoNLGEKLFasy+3Ic5sfgiYAZQ3lSsnZV95RUlG1qfWHofXogm5N8YjzOBWwuqW+/ilwXFn/49adA9NC/iM5AGaQEScauzMV1s2Los4cXJ/cAVAOd3GUy8f+aLcibwaqSKUvHht41QAsI02VOcOIJv3xE8Ge8bpisvwCetafstXHf3jnX7Nyxtzvb2UGyQPyT/GuvL7nGOa7zGtjzh12m2Q22SMJAMoVEflZnG933BunYzJ9CC07fotm7gDn/7RiUlhKWVNLo6emYytVA6PA4Eek/YCYxD54s/+vvzTXOvvUOfWRXemtxDXUC+6F7hXRAbfLNqjSqljJpMp6uEJE8jduZPlCy52zLpmUoqy2Z4CFqEl6dQUqzUewG63ZwOZFovl4hZ2nNmsgDeAIcfLl/cZO3w4SsQlSlXPadv2yNXGt9vtnwBdgdYWi2V1oXkXAx198twHMrrsWWQSHgZqCeIT73OQHYG/kGlMx8/lnx/sDI01zRk9BW31tNZisdzrGaMPMBNNWKGyWK3JRd6gsFi1MWj1m8leZwYHvfM/b+eOPUTPOErlnOoYMWUB28+Epa6I3jr25Wx/pw/QRLisn2fBihLei3u99iRgPnC3iGJ96kPszWw0xZ7ScdjFa3Sr1zAwml9AfUv659/1Gv7Y0QatKZ3UloygIHL8ABAha3J2A9/v8yNZ6mzyQZAkdQJC8w3waR34oBF528JplvM6pzz3wATUlQUsxEX9NT3uvtCKtaGTeJ6Ue97Om9ASb4RUFE1lLE3QHoKqe8xKA+aHwINpENUpqgpN76/P8m9WsSYhA27CJKai/g5FJLNYDdP5W9Gd6S1EEepFeWhau21EJPUmcqZuv27dVG6PHliTk7ln1CjeT0jgdF6eiMhVY/nKZrsLsHFZKQqA3W7fDZgBX4vFklv4vMDly+/K9/Ky++XkqFcnTaJUSkoa8FKMw/H+5XPY7fZ2wHLgY4vF0ouwWJ/2IyO/Wd4ouPXduzPl+9eOKZP74tvPod3v+WtCvl6e6JPwAYVqScOnTAk2+PikWSyW0spma4e2hekE6onVuu+KCwyLrYmWoNQWqOIZhy2jy5ARYeL02P+hRDlFyUxgcGfHnl1ALeBl4SolHHGqM1oc+FVi5BWAOLO5ep7b+1OggVG5MCrXLqBrZ8eegDJJgRva2Gq6nh/TKqNkjn+JyIxQbRy/TDcNfjOQ7buS3xoPJHnAIaV4HXgJ+FCEZ1GqPfBajpF6vi74tRx0W0bOnib4ohgqyLvEqX1ANWLEGKJSUoy4Q44T6f7WnGXo/giUzEaaJPDMskUyB61MZQrK935MVbzE24x418NgDAFg5MOreGDBcibkIquK+H0pLopSEROR/xWzaTp/I7ozvYUoQr1oLFAXbUsMoAJwCmjq6TdaLKiHHkpm6NDSFUSITUsj46WXADiUnZ1bzd+/WozDceKS99tsNYGdXKUUBcBut8cC/YFOFovl00LnVQUcgHdISspT00ePfhh4Ei357iwwOMbhuLhNuG/sUpXYMtQVeDQ7o9Gowxk/1A0If/DFKJoczua7145lB+XKDuBLYBbJA1Ivv67CtaQhTzyhAu68kwVffz1iTseOE9HiglaxWtcDEBYbCvQBHkX7jPw8wwjaZ2QD5tgX1x0GPJj07rsz8g8c6An4ZgQ7XR9MOGX8rWXGz2KUO696k+PUIGAqMIwYmVL4ULTfTvu9JZa0tIYuxoCitG80LU/ehY/4AsgZv7SU1xuvKrEyaq8aXyP5p07BWgNuYuQbAKVQaL9TRiBIBO0BRqnwNZX4bEMH7ho7BV4aD6+P4TdgFAuZBYQTI95K8Rwww4+sb7MIOGSvSJ/Hn8TPjYFli2ukN7/Q4QSm8hGIhKAUIk7OBR9k4vB9BEXvZ8kLsXBHR779zE2FNM6hbQGPReSSB6ni4HpUxHRuPXRneotxNfUiERlR6Pgxinllqmy2Voh8j8ulXnA4eKB+fV575hkeBinp5aXQnMl3QLcYh+OcstnKoiXrBHCVUhQAu93eFNgMLLZYLI975imFlkEbBAwUqzUWIM5sLoWWmPQAoIxu45km6ZZfonNr1ACq7h4ZZcyK8IF3j7us46ONPk5xDfnm7H1jPnhyzfVeY5zZHBHUvv0m1bZthX5JSZwpUYLbt+0Yv/5tv/1AFzRhhpKFTkkBfkHbwl5YIMzgubbeaMljbyX06zfqUN2sL4JSTI+UPeGNIBkK9UqMw3GJs9SMUGOBMUAPYmQeYbFGtJhrl3xRzVwYSuSbzrMj8BeO+xwCZaBEXok9grRtd2DDCTVONQXsvYPxna3lF91BjGy6+Dkq3kSLTc8Qod/F11EdcLM0ZD+8/xQ8uQtMAvwPNxVw8yyBiOQqxTmFu8S2Ep89Ud907ol04/n7MfgFBeX7IbhRzkRwpydhLPtexfaTvRJmp46peB4cNqgz8DCn7hhNYI1P+WYh7jtOYUBLOFsLDEXkolhGcfB7f4c6tx66M73FuJp6UeHuLsXtTJXNVhctq9XIvHlvdExPf3bgwIGlvvjii9T333+/38LatQHeBcIAd46395dPv/323WIwlAZeFav1laLGttvtTuCUxWKpqGw2H7SykrLAJLFa/188QVsRPp2pMjrtC9hx22HfvQaXchKVU5VamQ3OnhpaP29Xs5DyMSJuUUqAO8Vq/eVGrzXWZrt7Nqzd7XYzctr71Nl/gKrZtaiT1Qg/d0AO2op5GfAByQOKjJ8Wqlv9zWqx3g2cNubh+2aHKivC433aoq0Oz6NJFM69eGKcepdzJQczp/caEirWACLQVscAOavyKuS+Wyc/ZN33Xai0y3RidO9KJjy1tB67enR+Yo//ayU5OroUPhWP4jjhpIGM0aQClcLoscsABIqQr1BhwEnAxD7u5jMWlU2n/IiNZA5rTYAS4LUgF36WhKPeDwcalFfJKGN6gcXOLGPesRF3LqnwafXffHtuy5JJq1EuI1JnF+6D1TFOmEnOqBB8a/fbRVqGL4b+NTgX6Oa9FeT03o6T/09gigcmAjMphi+53/s71Ln10J2pzh/ij5QpKJstAq20xA/oKVbrXLvdHoSnrZvFYmlS8N44s7m/GybM6tIleN0dd9B88+YD/T75pE6Mw5FfxPDY7fajQMU3REyrtGzQGsAieXx3V+BxtMSiZly6IkxNNZ7fYw9ZGZ5hTK2EgvQWLc683qlTudOAEx4Wq/Xr674xYbFRQN88Aw8++kJF87eNgpl0MIu+L+9w/xq03pngHe+t3Qw2o6kpHbqeYe12ewrgZbVYjwB1gHGCjI0zm0PQtpUfBpRBDEmN0lr8VC3XXB3frFrk+BfEE91oq/RVaM57l/qhVVsabfuO8yWh6uESgqTGmc290DKlS6Kt9BZ0HLEn0sebe7wPQj4kArfJGEkEUIq3gOFArAgDFeoQWrx3hCBvqXHKWCLH9+fGSVFNFl2oTam9tVBnwz0WZWHLr8Cy/JrynM/Oh2t4ZSwneYCoccoHLWnHXP0sqc3q4/dJb7zndoPuTvJ4EO/ogQc/PHq+ap/bgz9df7Z7pxZHSqIm/QBDN5Jt1BK8ChLRctC25YcjkvhvKq/R+XehO1OdG+aPlCkomy0A7curJPCKWK2vFhzzOAqjxWK5RGRB/fjjBpRq/sDq1a7OS5cagVy0GOCoq7Uys9vtcUCnx0W2J0P9VjvSE394LT4XiOT/V2S5aFmWXwEzSR6QWHB+nNncON3Pb+HkAQOqH4+K4pX4+LzoyZNrxDgcx4q8GWGxAWjye08ADYBAAfo+E87MNqXocyHf1TnYy1Bm/QVjzbGPyFVqSdegielfU+fYbrevd+Nu0a5FO7KN2b8Icnuh+XtnqcyYff47Gh/222vMV3lE5VbF7BuVV6LFTm921XmGgzXnkDzg4j1TKD8gkVzvIOrshkPVeoowt9C9GAaMAwJ9/J3SqPUZVcWU9pnbyJNANtBSxshWz+o0E1DkeM/HJ7+3IV/ZXeXf+5DLtrPF6OR8hWOknw/dWinp0Doy4+5ZjbV+a9bwOi+5XuKNRcDziCSqcUoBi6nMo3SFoLOcSSvDfp7CQjtwdlPO8nLacIGSTuezjcv7lN65K9eL8JidyNyvUF5uBC0mHoK2OuQcHO8OZb7lYtMAuEnLa3T+fejO9CZCKVUCbWuoDtpWWy+0uN7DaCuLJKCHiJwqNiMp1AO0e3ecbdvyY9euZF5DE1fZbEa0mGcUMEus1j6Fj9vt9g1Ac6C0xWI55znnc7TV5J4+n3xSz7J585vAQLQvxiy0mtk3LzrVsNiohNahb7/dJ6LjFKDX2gvMnpGA0u7bMbQOIDNIHnCtDjDa1rBI2dEXLoglPV0lT5oE8D1a/DaRsFiFJlTf02NzWKEh0oFtTSdEl9lSzb8WsMWm1EEgBrjHYrH8WPDGwrWkaJ/1N0CPGIfjqluBU7ZPmd0wtWHv0bVG537Zsl33sueCOqGpOF0yf7pK27MudEWZVOOFyhiEqg0ukBTvf9eD6w5vuORaUT8DzUgM+4hyST2BJJFL+qIWlBa96heU/1J2upcCctZGn984p+GZezDgBrrJGFmoFO9WrP7r4PtGDaXjirruNraaSqEKP7w4gK/S3xg+7ov8PNU7CQGelTEyC6XCIolPyMPHK54ofLU8pu3AS0o4hZPfuIBiFi7y6STRvATUpxspi3iqRAyLmMLglGeM7z0f+DI9ULQok0H2bzNIK59JWY8NaYBLIFQMEczs0wzyveg352Ke2k1VXqOUqgF8VuilaOAVEbmidZ/OzYPuTG8irqaaArhFJM1zfBBQW0SeK2Y73YSHq7CPPiLL15fXpk7lyJYtzExIkNyrlCkom20r0AhYKVbr/Zcft9vt/wPGA0MtFsu7ymYr2Dq8RKUozla9TR0AACAASURBVGz2Ad4HegBGb7dPdsP05iejc2uEA4FLmgbx+PMVaZbm4ofn9n3t72QO8E3hFVmR16SpGxVsDcfZlIoSkeanhw9PkpycMkYxUi2rTma9zKZ+JkwF15gP7AO+ReslekLZbLOB3mhbqtVsWsnIUmCWxWLpc/m8cWZzd+BtoBTatuoioE+Mw3FRzGHb3SNbzO/6248PR79kilyaJFXikgoc1RXzFxr3tnKVMzYmxQf4u90KtPZoXWIcjgMKVXC/9wlSSym+B1oDXURYeLmN7vnqwNHdIVU3L49wAl7ZRlf2nCbJPuF5kYZXtrQ9W+d8RIhRlBeA0+B2m9yGo2gPIDMveXiJU+5DeRyrFk8FtP6usTJGBirF88Dku7BvWYc1DKjkMsDtm5Ht9VFea5mS8zODAKOjImdr+1CSGDGeV6GP1sGxuCTn1U7qYUCynmnPydkNqY4ir+9mhkxfGdgNU/TteFdV4lUbZdL867bbjtEocCYsywAoshyruFFKGdG679wuV1GF0rl50J3pTcL1qKYopV4EKopI33/UuMvtCAk5TlxcJP7+TFGKCp9+St769bhEMCo1C+hfENtUNtvXaCu5HUCDAum8wtjt9ii01eNqq8i3wBQuVynSVoQPAj2c5N11yG9v2B7/38gxZlMmL1wO1G2bOGBAo3JRSsl0Rf79VqvPDV2TzWZHq8ddJ4/vfuxA7/BFp+8vfW+dCcecsvOgaUfgZhK9T+Hj9iUiN+pgnYzGTwcmvbTusjFeQdsaPYf2EJBpt9uNaE7vgMViqVnU/HFm81DPuUEIzoo5VbbdmX6vtwFjLcAH4Jd3qmJ04m70wqF5wIckD9hU1HjaoGp7+nmvet/MqHYELY7JhdL5W0csP9woO8idC5QX5IJSRAAngEQRwq8yzgnyjWVynn9j1O6AraPi/Q6XyTVkUy6vAtWyG3CoTrZ81WGnWr1wGPs2tHvbJYbni7BHgJ/VQXqgZS6HAGtZ+nErdvRIQcvWDhVUZMfFrF/SkZIf9YSec3EdC+HX5r2pO6kafvcHIKWOYJQxIkrxPtBvBBP3TuLFaDD4bI2MYmXtGtydUJM7zkRjQIG4cbqPMe25nXzdYT9dVtTm6U21oPJUmE285N88K9PCKKXaAGNEpHlx26JzbXRnepNwLdUUpdTrQDcgFbhbRIpWzvm77bTZfMjJOYOPTwm1ZAlrO3YkPj6epcOH53csU0aM2oo6D3iv87Rp/hgM/dCyO6Mv18EtjN1uz94pkj9IK2PJBWrL47sD0EQM2qBJ/BVeER5IV2lrVpb64rbDEaUsrw4bhk9uLlPd7l0VS5euC9SwWCwHrueaTKvXfuoyGZ5ssTczy/bK0XwjhDj9Dfw0tzblvzuXX+3j0z8A8xeFfRApSsagfenno62Sn49xOFzKZuuF1q4tC6gqVuvFGKjdbk8ESlgslqs7+LBYH6CLG3eneJ+Dzff6b/dN8TpPiLMk4V41nIuePWraWy3x6Aif2AwMqi5XEaa4KnHqABBNjJjizOb2biUfGESVTw9xklbKtTniiM/9BdvKSrEaTSmrkwifXrKdXenIQyRUMJDv7bn5+Rm/Bm3IPeq7v5QoYUurNJZaz+bGP5qlQLnRMntdl9lSkJH8AzHSRo1TQWjbudHAUd5M+pjssPFAHKK2Au8oN0fzvIgzuXkOKCXA2bGQUg5qnMIhBhq1ej3eneAKyGzvfcwwMeDnRIWrPEqTKd4depyVUfsJyUw++YyjaUN1bOp2Qin/zbfgvaIVj87+hMwR0VRKy8m3HKf+3K9kz+/e038YpdRHwDYRiS1uW3Suje5MbxKuRzXFszL1FZExxWKjthXqAGpx4sRmunUrt3Tp0qjAwEBp3bp1F48m7kRgyM6aNb0n9+tHYFZWjsHlKnehQ4crBA4KM8tmO/QiVMnMc8vGlw7vbxCfWxnPigwtpngSrYZwNskDLsb/lM3WWLndm3xzc40TJkygQmgoYcOHkxsf/1Gbbt16X3UyzVHcDTw9vXVo+wFPlw9sty2dpZOPY3KTBewCvrR/Xmc8BnU1icLX0LahfYBs2+23fzGra9euKOUC6ovVekmNo91u/w5N1aiWxWLZ55n/XuBp4C60uGkBWW5cO38KXu08Gni4mcmpTPE1cih9yjSq+psflgcGAV0sFssV27FXEKdOAGWIER8AhVpfebdvi8FDK+SEnfL2RYsnLwKe6bzHUSZcZRyL8TmQ9VbgxjNAJQoeXkqch+gjLrY1noyWCRwPUOengC41fvOf/8DcUvhkG9jqV0bids5XyfmRb4ow6jJbotHi5kuIkY4AniSjVUBr3CqNCRkmwlJ8SIhQKJxARUHLGkapVsCb8jINVW4Ax+fW4FxIHamX0tBtxGgEyBSTBCjnAWAlGcvWHvJbPbLHI9z5U0V4wAdWjIISB4k/u5morQcq0+zVI7SvOFxW9HhH1TgL85bgaHyG/ojYf/fe/gN4Qj2nALOIJP7e+3WKF92Z3iRcj2qKUioK+FZE6hSLjTbbGuAe4GexWu8EsNvtq9BWjtUsFsshAJ9Vq7q7TKa5ZZOSGPfWW/jn5KQCL8Y4HDMuGTAs1gvofKCsd+82E6JbnAs2sebt4zTdlAZa3eRmNDm8/xdvv9SeSmgxQx/giYX9++9RPj5x4ZMm1cuw2UhbuvQ3tDjhHsJiq6IpJN0PVAWM62v60+qVSkQl57vXjj0yq8IF1zskD7i4mrXb7TvRlImuWAnGmc1ewLtnQ0L6vDZsmCnLz48nly2bNufDDwddbqfdbn8OmFH+2+Qt1T4+E1wwv+ewCzgErESLex4AUKgAYy6J1qWhAd0nlHMbXcpgLF06tdz48SHAEovF0vF3P7A4lQQEECMBCjUKTaf4gCA14szmQYh6HSWBPm5fqZfR1F0lp5bRgAGnKDEpOYH28DKLqQNXA2nEyMUEJYUKRfui92kzP/SR22cHfxh93q+MweXFxrS20izoh0Y99v72WyFbmgE/A3OJkZ6XfI7j1BRgCAfbuunuNHD3j2BydRRkCQBhsSFoSlEdKXv6dhLLAQrcWeS7DpJJcoYl/QO/Xe4yeYIhQISLX2q9HlahtmbEHx1GUNgRONwAgj4AdzLxxhfcJYCgnq1Cv/+saWrboDxYtghuTyAZrRPQ64gUuZvyd6OUehjoLyJtissGnetHd6Y3EVdTTQE+FJGDnuMDAYuIPPaP22azFQjAX9I2zG63DwCmAa9aLJZXlM12N7AakIiEhJaTJkwYhJaVa0BIrpRT/YM70++tAliB8CxvpVq9Uplfq/jxlknRcmfGrttePWYhecA1C9yVzRaKluQTAgwTq/WiApDthx8ynecv+CaNG2cwYKBqttldN7OxwSOVB3Dqs2ZBh2OGVrzLrchDqbpitV6xJWy327U2b9DZYrFcUTqhbLZIRA4Y3W7fl995x1392LECicIhMUl9l+NxAC6TqvfTJ7X9Ir47R5X5Z0BzQna0Epk1V0uQUqhtaKU2Exeaa0/EU0tadvx45Tx3zn1u6tSOMQ7HV9e6R8SpFEBUDPcAvxqdKu9gkzEjKp8s9RDQxI075LT3CXYEbCbF6xzeLn/3F2dGGhanPpLgEmOFQuPkAaeJkahC9u1Fa+d3URe48TNBE2/b3XikJfU8Srkx4v4F6BzjcBwiThVoHr9HjKcbTeHrHad6Y2EWVpRh4FuSGBfco7Qh90m00ppSF99Y8RhEHs9lQ/P+o+s+f1+N887Hn3TAIld3ejKXgUz9+T2G3ItItsfOEIQzOPFlGlQ7hvtAMwx8CcuWtM/vwNdewaR8lTY2dLbJxTLAOHcp0nk3Ck1H+Xs0RaXrChn8lSilPgVWicjH//TcOjeO7kxvIq6mmuL5uQballw88JyIJPwFc1138XqhtmFngYqF24bZ7fYQNCm8zVaRXmhxMBPQTqzW7wiLrZqp0oc6ArZ1j/c9FJBvyKNiThXqZDZ2+amSR2q9Wy3iaBlvf5R606bU83gUjK5pu83mhZawVB54V6zWoR6pvMeArvv7RtyXaClhqtdjI7u9N3Pc9zBGMRLsDN3lJd73t541OgLYiFZ7ahGrdcPV5rHb7Y3RsmC/tFgslzzAKJstCO3zCAVGf9Pn5ZkGDKvSTSmNXMpFhZzK3JbZlBBXSYDUze9XD8gPNDlbdN9TguQB14x3KlSBiPx2QRoUvB5nNoeXHjHisKlUKb8zo0aB9jDRO8bh+PGqAy1QmXmnyueMM9UJavJblFf77+tgdF9MWs1G0zr+8rwp+aOVJRe/jLZy9zqUXZdz+eXmTT3xbg9tYuUCDhIjNT32TQMGAJsEuaTptRpe/r6wuV+u7Bj6MS18NqBJ+LK2TY/DX5WOyH0PGE/MlWGKTl82eicgy3to6yUNuXtdQ8oYLv6K5aJlWS8DZjB1YAJwjBipCqDGqfvDMvi6268m0+c/HqQsyWzidrcRsQPDlTAfrQHCGMYR5K94PrMqHNvJucg3VUBL1vvGE8Ueau5cUi/zvZ6PMgUIan2I+O8WUMKoPayB9hA5wQtynP+A6INSyh8tKSxaRK4ZItG5OdCd6X+QAtEFk7e3//3DhrF22jQyMzOvWrx+WduwKmK1XhG7sdvtaekitAcjIv4jlyZ/MXFRUgW0RKqLwg7ZKitpU/Baddr7RJgbeKtf37wddep4A4vEao0pUDDiKr1EC9mj0GKa5kqJeWuPDjgQjxZ/vCjMkHhniHPfsIqmyMVJK6I/TewVV2aGFXgPKJPm7+8eMWYMGQEBBpR6QqzWL651rzwShactFktkIRuMaA87Fft8f27/zFmn/Qrmz1d57PLf6j7gv9vgxoUBwzG3cneLmD79TbReqBdraa96fag7gQ1ozq6cIOmFj9vt9gVA5+TJk/fkHT1a2/OyA+ge43D8esl2dokLNUjROr+kB+RIUKavFk/U4p5XdK2JM5t9zueXXiAYHyvllQhwARgRM3rPbGA7MdJAodqgxTnTgbKCXNGPVQUlfE5GxOMRj7Shb+KhvMopft7KINS/J5EK1dNeDOqfP5Gw2EigH9DOaXTVNLmMWmmNcrs/k3KGVa5y/PpU1917yh6vL2Pk/7f445QbcBAjdS/ON05VB35Rv/YKkW/mMI+umd1YEPDpE9DpM6izk+O7bqMSItLxLfXSl+V5fWASTL/AqG7j5zSbS68O79OPfswgw4vzDZ/FeLA0IcDhI1MYXTmVl9Fqv8kEXh7amPOrA/hklx100QcdD7oz/Q9SILpw16xZrK9alUGrVuH44APWpKRcUrx+nW3DjOtiq+99vox3tV9FWDLpOA//evH7Pw3YCnwKfFKwIoszm2u/37375o1NmwY+tHIlT37zzXagS8T06aPRWpi1tFgs668yV6RlbKV168yBlQauOCvvfXymoN6yQJhhNfCBfXHddDTZwu8tFst9Bae/Y7EMm/r002+fKleOYTNnum/bu3cOhcp4robdbj+CJjZhsjy2q4JT0e+x5ysOXtY02O/N+Wd44euzV8xP8oDf4szm6mjx3iYA/nfdlRjaqVNZYLDFYnnvqp8LKgA4g6YvaxWuTISx2+0Poa3SZiX06/e+EsNCwW1WKKpk13LXy2xi8BXt+SWx4S7GP7GXLfXjE35pOyLyeuptAfwMaT9bQpc161x2shiVS0VUS6dqg/N7K4zJvMNjnw/QTJCr6hUrhR9IGqGHjQyqpm47E3Duf7+V98/N8PLzxovaGY2cNbLqmoyYEISNTY66l7TbYQg7FzBp1LQ2o1RKz9dwBrzEwz2gwbzTaPKFWga7Vl6zmRhpdsmc41QQ+d7beX9fNIZ86TOy5uh5g2TCbTtgQwvwcpILLOMlFmPm876JuD5Iw4hbxTHe/ZARp98FStiDyLQIGEffg7zREuXjJP1/vzz4yOitzR9Pd2f2MfqFKv98bz5vv5Unv5un3Y2bTPRBp3jQnel/EKWUm2HDFO3bcy8wYMUKsr79ljSnk2CTqVOMw/GpstkaoSUAKeAesVr//4s9LLYxWsnKvS6IjBlTyfB5nUAmfnfOPfKj0zuBr9GcylUl8pTNtgDo7J+ZeXzmCy9kGbTYGz5m897S/fvXAmZaLJbnCIv1QxNoeBJo+OG9oUHPPhdB53UpzJt2MtmobdXOBZZd7ijsdnsOkGaxWMp45vRCUzcKv2Pr1g0D5s5tiLZqzkNbtb5whURhWKzfjjGV1qXUDWrcaMiBrMCTuf5vtS/FiG7hxKxPcc577+Ryk9Z95or5C4gzmxsB85Sfn7n822+TuWlTasonnzSMcTiuaE6uUFuAxsBbwtU7jBwe8oXXyYfC8oIPZmU2ePlIDlAqw5DGzoAtHPM9gAEDwc4S+2ePPDrkp84J3xndyGl/ygrXX06lFFWBg/6GlJNz6txxyGgUa36ugb2NsvJnvXrKKzEqf5wgY681hkG559Y0pnTvXe2D9OqB8UFtEqqTwll2BG7mrFci3m5fCcsvt6H9ltW56aF5rYCFgnTxzK9AMgg848fQSIXRlQW0kGrsQ1sJriFGWl1h9zil+HZqAjv7hHOwLFRIk8ZbaLPldp5C65YTQBQwAc7v4ttSvjQFwtjc7xTfvV8emC+oZ1CBr+EV3dcRHhWQ41+TBskVMGDAjbCm5X6+b7OTkhsa8lLIcvjxMOy5eUUfdP45dGf6H0T17n2BLl1KkJ7ON35+uDMzWT9oEPUDA1FKcSEo6NTQV18Ny/fy8gI6y+O77WjOsz2a4/P2DOXuMiAif6El1KcX0E2pVRaLpe0157bZ3gBGoQmmR4nVmhtnNrcC5qBUxfC33sKw54Sz2cS08z7iU6bgvAUtgvO6DYz0DktzZQ5dfjZq1OynitwqBbDb7XvQGmd7W0WcwG6gNrBYrNbHPSUuE4EhFEgUCq8/kfzMLhOmHkALoExmpA9bp1SnypyE/OklTGffeLRMuMElJ91GVUms1isyjIsizmy+u+yrr65xnjmjzr3/Pmir2G4FmrwKNQ54BdglSL1LTg6LbQo8h2c7e9eoKJVTzpsmQw4WjifOjCszozGaRGFEVqCL5X2Sebrchf0PtnMXKRZRFEqxEbijS/NP+szu2fPDjzaXy/H9NdjXK1dhELXXY/vWy+ysi6cuWIRKHt1e0rxy3NvrbDW0bLCPt5wXXiu/MtCN1rrN93i1HL6POZ9abbt/6MwJCVJofi1u3OiDX2nftxHgutuXwWsjiQWWESMdirA7gA97ZfDMx/A5bvbyoIyR7zwHu9OYSQylDG+Aazepgx4gb1Z9FWaeuUnaZcF4/1/OG5Qn4UmEFK/T8kHd35QtYj+0iWdVJzdf2+Hnd17jjWOR8Eh32EiKfC+hN3qPdW4tdGf6F1OEvu6jaI4oDy2RoaeIpBSLfTZbd0TmkpcHnTsz9+23iYqKonXr1lk1vL1HDq5Z88m3+/ZtcahSJUbPXJI/fF14frA7tLCg/Vm0FeE8w2fmzmJQjwKOtVDVoNTFlWARc/dFKznIQFM3OkdYrBktdnbfOVNS5V0vVTI4S/uROv4tKuVUT6ud2fCjZm/WSdxZ2e8NtFVJ9NXitpdjt9uno32xP2bVFKPupVBJTwEZZd5osDtwy4IEn/jauYYcyuSFUy/zdsrkh+cDB9xGVqz/tM6IbyF5sqaDewHtISD9ikl/36bd4nabTw0ceBqRi63OXllwZNrhBjmr0TqchEvYtGA059keLfns4sMLEL9rVJTpfOPgSArqVi/jjhUhjpZflah920+BmLxdOPOMC4FnCksU/h5KURPYWzdy+6klsQ3K130A/JNMWe/eV+2I0a3qABjEuP3uC+3sZZ0RLdCSfArSpQU4+XF2zfxx2U2j493Bo3+ZrR5t4kej0MOQ4mZ0cH/jkts2BO7p+H6YCjvlDdrvxMW+rJc0Hx8Z3A2/9AUVTBhPVAZgPjHS7ap2ozQpyreHwba9QvXvAJ6XMfIOAHGeEqH3yh1kR9UqmKoYxLsGyqD1WEgWL3eYyr9kd6XZ0+rh3feyNLMT6v5FsELg40Vd6bV8LjxXE8oeBMVXwKMy5ub4QlVKDUWrYxa0HIOeIpJTvFbd2ujO9C+mCH3dpsBaEXEqpd4EEJGR1xrnb7HNZmuFlurv4s03X2blyr5Dhgyp2KFDB3Vy1vqvOq4u4XpgdKVHfqwbaHht5hqq7FiGIJTLi8isnlV3WkR+1ASSB6R7xnoXGIxHP9em1A48K0GLxXJFDFLZbA8BXym3ONe9ciS2xf7sllz5BZywa2RFw/kmIeVPjxyZ7k5PDzoeHu7638iRRqfJlI9S9cVqvS6VGrvd3gJYP1nk2LeaAIFW0vP47tJojqoD2krVF8CJUxwBW7P3+e/ydyknQDIwKMbh+PRtmy1lNITkas6uulitJ64253XY9D7ag8NTCf36BeBpdZZa0sn2B4QXPuu0s0pCWGU0FagCkrlsO7ugbhWYaLFYXiw8h0INAab4OzlxZLJ/5MZlEc7sdC8TWtz7Q2DItWLEl4yl2Fwr+temflsaszcYAs8HWpLMb0QnmU713eu/o/Epn3iDUUzUyK5Ljax6Kb7itwktTvwpyQNcShGAptqV5Zxv2Gw0SCvfg+Tkgi8DyKUUPsHJxu4zrDXuQeswc0lf1kLNx6czVn1Yz5tNO6Lwffs8R58/R5XLHZdCWQAbbpWJX5YvbncOLwWaMIhP5dSSnx+ZP+4gESf6kO8dRpJHA1/yhfyDbnfur8Z2+e+wzVCeUXXqfDp0e1ZMQR9UhbobYS3JSMU5qPgoODuzBBHrznC/+sq9a+BTWUdKEoiWCNZIxsjvq1P9jSilItCS2GqLSLZS6nNghYjMLU67bnX0ff6/EI++bks0WTlEJE9EUkTke9G2GkFTOapQ1Bh/m21aU+7vPD+2k63tvpHS05aPX1f7JIBFRXd4vkd4xx/rBhoGrDibPnp12bcic6I7iHLvPe1zIsAeumJUXJkZ38WZzZWUzTYMzZGmAWaPTGCBTu1Dl0wcFus197H5Y4KzXF+VSnOqwwMOeLXYnz0UTfg+Cy27tAvgRfKAyPNNQiYAlHvjjXe31akz9c0BA4z+2dlMHj+ehf37944zm41cHz/ZRNwrhEql0pzpGZ0dx+Tx3efROu+MBxp65v8O6GLC5HXbsQUBLuUsDaxA64e56LX77kv8n9sdUgJ4FJ76o47Ug6Za5JaOMUl9E2OS+v4YGdLUFZVcDssCL/Zk/1DvoK/D141rA9r9DSZ5QBmSB3QgecBXheKyBepHl8QNFao2mmh+3uL19CsblcXDAw7OA8agOdN+QHqc2fy6Z5v79+gZPPAdGn/TnH2WEblJ5jdswMdlnOWbWtLuz7VeePCAt/ikOgK2sSRsbkhcmRmuuDIzVhYIbIiQCXwOBK3ff1d1gFyIprXmSNnEhbTprkUxDkcPtFrSr9BKjT6OM5tPfVSzwWa0B5inGSt7loQzBMCeQ2Vglxqn/ApdexDa5yYYpG1AnmHJnaQGrH9/3pkdi0bJgQWvPAGMltPlwyh1Dkon/wQ8hvIykjrdZMj9pWUjv7hzSc7KhG5//Kkkf/JRavEXHVVNYDkKwZvWVQycAHi9fUpmE/VTxgp5xLDmvcjAwT8DYPbL54wapy5mfhcjJsBPKWVCe6Av1k5T/wX0lelfyLX0dQu95xvgMxFZ8I/ZZbOFG9xyWAl+i6YcP/r45vRwPCsyN8jPH9VSH7rF9UmIyQhsFau1SeHzPTHNWUClIxUqMG7ECFwGQ64YDDXFaj0GYLfb70JzqJ9ZHts1A3gGsJ4LMJS3jI9WJ0p7sfK1Y3l3HMze8X/snXd8VNW6/r9rSnohCYGETugZioB0cA9gATwqUgSHjkhHxa6gIQo2rBBAQBCFRFFAxIKCwIwiVRCECaGHkgAJpPcp6/fHmgkhBPR3r+ece+7l/Xz4g2TvtdZeM9nvesvzPMA6YCmZU6+re3pxq5lS/j4YWiCl3/A1azb0tVrvwUPfh2LymV2VpikAkQk9E+4Je+OpsbU6xrgle8ekEFTixnPvITwqLlXNX+GZ656vWfOrdyZNal8cFMQCf39qpqZ+cvfo0aP/4rZXXpPJLZi8c3mLyaHJhbScexaAEw0ySYm5WFpzT/b+E/7J7aSQvigH8hYw60bPaLPZcgGdVwNWKELaSyinNEgm4fI857tY5FOeQ8jbeLCkKJTHLIvd/naldcZ4rumbH1jSLLjQTwfg1DulwWU4gYLFLCJzanmGIMlkGga8jzqAuFHyYY9a7PZCIQgGsj8cO0GM77VE6IYxEcli0nCwDKNnzW1lnLzgGSsa+BTPQSGttGHu22cXhmY46s2TieIk8MGjlzjzUR71UYICbWWcPKdzid+bnqp529y4/in3bW4ZJiU1hQC3BIQs/LzJPrHUtCPgrhani1+McvoDJizXcvEKgRC6kuJA34u+G8Ma0z3dxdT5sGAq9Pmerzb2kwOcieIRg+Cjvmnww9nGxSQc82/J4cxDtBbL2lJ94j8gOh85eyvzRv7BdP5NL1ghxOPAHNR3fpOUcti/Yx3/l+yWM/0b7c/4dYUQM1DdmgNupAzzX5izavIFRdU3NN9XjLwzrmHvfTH+4ps3ztD3QAGout8eVITz+bgvW2YtU3CMVBRJe5WNNcOnTp2xvm/f2b5lZbz8zjsyMjt7LTDWkjEp0i2YvPPjFk+F2q86igIf4er4RiNxtLav7rZTxW/uG9fv+arGrWw/Wq15j0PQUdVJ/Lw0m9/00PfNR8mbGVBR8YsWu32BB1s5CaX92vhIbV9D91cbEgR8EGzgjjmpa8IPFMRVdAB/uq9WazRwAikDHl+x4mz/kSPrFVit5K1bdwBFUWi/6QCRCRGodPKDVEhn25+qR07LQKq/Yvuu3+cL+52KuVKKwpPmehzeByjmJCMKy/myxW6/TsfSZrPtoAJuVSC8MmqrJHIEScJLjFucogAAIABJREFUvP8yFlkuxO6RsVuEEk7QI8mOLWq7+bbCznWA2/Dggl3Czfd3JvN7+5Pu5w1/6O77aMXFHw/1vV5RpoIlmUxTUS/wEFQkvAyYNizZvurjCaMfuqP7Wnej4QUSldKPIZ65qE7tEkCTcVehNkkmUwyQKCWd3ejZkdtPvjBu4Uf1muU/CowRx7kjsjBozAOprVwTL3QvqpEXHFw3vbwHyAkce72orX5ucftm2dJvOrPEB8CaZ8IY8FZ16JuGeeMz10OPhEA1yPV+riBm4FtBpybB1HkwX3E25TGQwwyga/wVfpiVRR+++hgOjgR0HSQiZNltrHiqD3V9nfDZGpy9UlkHPImUaf8/RCn/HRNChAFrPXubA3wJrPlXHuD/L9otZ/o32s34dYUQo/B0ZEopi/6m+SyoiDEAoLuhEZP8ujsf8G2VFyh8w9wCMWJaHZJ6VOOFtRmZr32e8T5KY7I8IhNW68sC4tsBU6H3aLN5a5VzWa1NUVGdccSaDUvv32IbUaYr8fdzBdCmsCMNS5px5KkG5MYG0vWRI19eCdR9Uv3jFksQ4ipL0V95JqtV3xyKUsAnEJYVmM3jKv4+yWQK1Lv1K6SQA93CLSLLomW7gq4iwqn6no5GGS93eLNxRJGvjvEQP8SgmwUs1DRtyl/eV6s1EMVuFAHES7N5lnXz5gJndrZ/Rny8tzTyK8qppgJenmGL519HoFqFIbPx8AzbVpseQK8bPKLDiMJzAecCgXskclOlZ/RHZTgeRtURr6DqiJ94r7HZbLNQ6dvpZs3sRB00zgINJFKSJJ5G1WSnYpELygdXTFEDSikZkxJwsPeJgGSfUl0JtUvrE1vYrijSGbU7IyJ/fe1DM193Gt0BW37iq14ZPNj0qRSOX2zWS0qqZlu6unYBzAReAPyB0kJn8KKQe2o98eETP2KNKQIYKZErAUS8mIESDigXG680XptTxbE/1fM7Vl2vcxHb2E0T+32pQTl1o/AcULJCC9nR/jS9f236mX+pz2Iyp9oAhCAUVYPNk5IwgB3LRGpnP+obTuCS8LCMk9eQdpQ3PjU5qsfe3EgGhC0g9/B8dtcqoCftMfIk8C5HR9Ul6dN6MXEkpOiofuSSvNQ6CqD1JDH4TDU+LzGg+2Q9DD0MWXD+Uai+7mqPAPyTCB+EEIOBPlLKRzz/Hwl0llJO/jvnuWXX2i1n+jfbDfh1twDvonh1/zb5NCFE6qN3D69/etwA3nnnBK1PqhKSS7rRC92JrrMbhuxsFliDG4hyC6t1NPCxH5StA58AIRZpmnbdH1z1DT9FlhrF2RIfnd/at84W3L8/P0giuWg8z/7gX8k1ZKN3G1yhEx455d+2TZMSKbv0UR3NJjxQlL/0PIrd6HegzSRgiBBTNU1b4HUAqGiqM1DdiYNjAYexB+zDoXPg5wrI3hfb+LnXHpswD/XCGmYV4ktUB7Vd07S/JA7gYTc6jpJ8Wy7N5kcAbDbbTqBzxltvDXSkpr4L1EdC7dIGFzrn98JX+nrY1wEVaR2iinS2zWYbDHwxp/kcNtfcvEAip95oLUkmUxiq8eg+z9jpwCSL3b7BZrM1AE7nGHJ29u/WvxOKML+hxEM1mVROSfgwj88/gYrce6GiIu+BoKxEFB//JfRH/0zjhRjP6lNnrTrlPN62pDHwpkyiDjCs1pTzXMipfUxKmv2VffRE2W+haAd9Cus6mPdyOodL2x6UPX+57Zo9jxf9gTWog8ObMk6qDIYnu+KUYviv0ni3sdpGzvgeRy8NxJQ0dzYua7Xz/s8+7vTr7ad83Esl5Cix8WvGFnyFajabJiUJJInfXJL2hhO4PPO9IuOupTcU4Vfe44e+T3DbAVjj2MBx7gfKgkrol1/EbDrRmaeAi5Dlx+XWNVdGpJ0fJBjTY7NcuvduzzM1RbIHQei43yhe/K3RP8+3N9+NCifbXcK0j9Z5p/vbCR+EEJ1QvM8dUGneFcBvUsr5f+c8t+xau+VM/2a7Ab/uXlS9z/tS3SWlnPjfnis42F370ySRERZM3HffE/vVTtZnZLMy3y7ltm3fchNRbmG13o1q/nFFwO1rhTgAJGuaZgK8xAwTSw3cef9z9ev/1DqItW+fpf/e/DIUtnEDCtuYjkpdTTfWqeNb48UXeSUzM3dr9eqhwC5pNl/D3XrT57Favwf6+sPhjUK0DP8tL63VG2ecKKq+cgeAqkl/AyxKqrHIAKwsNRi0t6ZO5VhMDM1OnlyUPH78ZACbzZYJBGua5lfFlFWtYReKXH2zNJvL1TpsNls88HK91Ze2NvwyI/qyIaOpPfA3fZrvGXzdfjQsblYQW9R2lZ/0TyBz6g1TwL5O3xnrdq2bfSj0UNnzrZ7/SwLmSSZTbVQdsZfnR6eAsbUWLvgxOTjZZ0q7KQIYKpGrAYhMqI15y3rc+tv5tZsTl9Hguc+Nil63oGAfv1WYIwZY5dLJLgiwdyosab0jqIdlRvLLwH1Rk9KTL+VFxwJ3SMn17FQ3Xrvv4U4Fm6PO+vSofsGHU8WxMsY/eYLFbl9a8ToRL0zArga5EUHP7u+dNtHeXQpEbTwHlCtuX9eB6BL97b0X8uM2XabTRWSJv5u1UzP4pVvOyvwk9/14xcbhTm+nrxCEoeBcOVISQZJIBpqJ47RDdUkHwLWwFuHW7UMn2zHiExerRvozS0xAEXvwU2329g6gI18wmq8ZD3Q5TQPRhOO0qreA9MFPHMkIpq1MmF92NihryJeNf/+oeXZUYO/zTfFzGXHqXazu8wfDM5Z72wH/KYQPQoh4VJrXiTqgjpPy39tl/L/dbjnT/1ATVquRrKxiwsL0M4EOf/xB/uLFAKzu2dP1zeDBem4gyu3p7N2POpnfLc3mn37esu2yrlRW6z4q+TAeiIsERk6tzSotjId/yTmZNO/80Iov4IqWZDIZMRoTDsydO36u0Ui7gwfdjy9d+tjIw4cXVHV9Zavx9eZVmaHGYd2PFDq2xZ2Wv7/TxMfvsoNWr6V6Cf63UskBVNwLn9LSs2W+vlGTVqyg+969oEjch9deuPBdVDNLQ03TUv9kT71RzGGgtRx8OAiF1RtUGqK/bdfy2IAGSRepvy4TFJHcL7+GbL5wxvfESATVUNHhJ8Bki91+3YtLINoC+94/8L5ondu6tKfW8y85eK8lmUyNUXXujgC6p0a4Q5u01j1820Nf5sS8sRV4CNUlHQKAsQwgG4fPds+61t2MUlAgulfL0P885L2asseGUJ1AEN0oP7/LfenBMc+c6XQht/ZuIEVKWvzVNQtEA+BEvRyhn/94C3farghdqOEKqMajKZaMSftQDU/93MimOoQBIMu3kJAyv5MGqf8BWCQuTz02e/CMkhn9X9PtOXl7tfhapz5puTvogTa/BgG4S/XuNeP7p9zu1HvExhUFoYJxCb5GdZlPkoniOaA2Fukj4kUkSpihFh5YC3G8BMxgX9vL3L6/OpAgJdNEvLgT+P7pahjnRgJQB4tMQ4hg4I0BrJn4uzDrdvkNpSy8DrVL20gdBgGQ6VcgV7faLzZPSsHd/Ditn3+e1/x3gfEHWHGLivB/i91ypv+BVpHsnV9+cX3dpo3ez8+PSQ88QLcHH5RJY8eKxqdP89SiRbsCS0sfLq/rqXtrA8eR0v+Zry9//FbipQZA+zMDI0NSH46iy+hkfApcl4GdTT5o0vhELd8WgE2azea/sK54nZQvt3G5eHz6dLfR7b4qSWa3XytmragCRwFDP+8a2nn4Y3V8e9oL+fb1M/g65eXfX43xzWsaEBx8ssin3aP9boiL9OzFAaA1sCFxypRXUVFcCwD/rl1Tw4cPbwDEa5o26ybjfAA8Vj3PmXVufMqvfi7V3FPhkrwdS5sHSZ0o6vbIkRpkTi0nQPDUCZ9G1TADUdFzAoqi0AUgEL4oBxK6cvfK/XVL6rYDGmmadh2t4J/Z57Gt2ubX0G2OaHhbRMTosQS8/CWtjzTAIzFXCBzkwTUhdP+1JQaneun/iVXmBU40xbqAj0E2NhjdOB162+Sj22rkumq0ALpJyY6/MKY3NR318yZct6f7pkeNvVT7sZrvyJZh6/Uu4aJ+SWNaFXYgxFUN4JIL9/Y+9y9s/lPdoyYE2UA7GSdTAawvaRe6NdkR5bN6zUq+6z8cKF7UtWl8SK5hJhAskc5vml258EWrjLpSRx7QScbJFKEYjTKAbJkoHEAoFkVgLOKFHlX/7kQEuUwhBEExv7epQ7sDF1CRcYCUuES8iPmgOkcfC8NgPM7PF5e88VBEWeAEoH+J1LX0E24jgHTnIxzHKHWfdvqWXdzw2NyjT89/lBPCjS5tE7z/yau8tX0QTGsBZVzGl8Yy7pYyzH+63XKm/4EmrFZv5+ZuevacN2/evGWtWrXyG7Bo0ZXsiRMjDE5n2fsvvZQRlp9fB9U5ucnH7TvCZJzQ7d4ZDVefrW70+frNM9z7e4F3yKILPcMuHZtSp6G+0PlG9369XxBW6+eoNNFRoEXlNHEVa3oE+CgSXJ+Anv37b8tetmw2cC8gkJxvVtR6afvCbq1QVH1RALsb+2OOb0j1PKd7wxtnXml7pvRdMqfmV2Qw0jRt7U3m3Qj0oRKkJ8lk6gUsE0Zjg+h336XEbs/J+vDD5ha7/Vr2pMiE9nMerL4gbkjNTh2PF7H1lVT8HBKUQyxPZ5M5Nc1msx1G1YGrJKbwONXXgOlUgvEMsydbURjkxVab9TCqYegVTdOukyOr0iITYlE40btdOncjvVuny4os4dCiDuSsXk2R9RcM0rDToSsbaLHbL5AkvELuPlj+XOBaIH5DRbXvSOTT3p9fej0w9eie8Prnj4XglkKuznhCbMkanFLkDv3T6FQg1iIZMOCbNnvWflWjA7+3dZedr6/3EW5KKeVg0G7XSf8jeokbEEcRcqTFbt8DIOLFYlRXcxnQV8bJrc6V+oM5ZYGtI9vHQJuDIOgtkVs9+/4SqunJr8Doci3pkKbfV6vAiY77ZZzcKATfAvde/jCiKCI4y4lFhl6z1tfEp4xkBDWA/TwuO8t5QuDVs31fSqYTmeDrHLUshYyaDX492IxuF2IwyHLY85X5xa38l5e0CCjsO3hpX8fPj07+DZpdgZGfwKrh0OUzTv4qaDRht8aSeVboNeUCdyyMRnVtd5Zx8i93m9+y/3l2y5n+h5mwWpej6rCnUGw8LpvN9mS6lO+MAulQdbFO0mzet7XxPU/k63PnFBryA4zSnxUjpvF9l/p8uDhNTvgpOwUFcl9I5tRTNpstAhVF7jJL+TOKeaacP/dP1tQX+A5wzoV3OgjxPBCnDTq0Jk+X80xy4P4hZ31P+ruEi4YlTYktbOcMcVc79nmXELvlibqDpE64gHbSbD7kHdPLYASs1jRt6A3m/QgFlUnlBpCeJJNpQI2XXlrjLiwUl9991210+2z8x5WHD/vLgD5AiwMN/HzuiG9InSwHW2alnovOdW7iBunkCgxGD2madkPpNg+M5wMU1taQX81Z8t4H5/2O3l50XCKb2my2MFSX6S5N06quKStozQRU2rkVni5QiZTbuh2XXz6wX+dTZpg9oHn8C678/KyLzz3nQKUrJfDNoCeP1Pbxl+2xyD8lZxCIV1DO6LDkqrSZehhxEqiXNCd2FApLGpntiKTU7bcpyvfcAIvdXnjdgJEJ7bd0P/r2xRr55r5bYgnP9bBRBufJ4ryw5OH5d8XaHLVzLrv9w5NMJhOKNcnblLQfJSieIuLFVDy1SmCabMLjU1sbmixo6YSPR+2WY1ZcoxxTGUt7uloxn7fK4HB04TPMkp8Alw6/acJUJ/kKFhlZaQ92Ax1ZCxzGDYy/c86ZT9NcgYX3+pzRvxW446IQ1AKQwk16QJ57ZbO9ul01U0uLDKV3bFqeskcI7gQ2A78xS8wSbta3qIUheQLMmA2zF6rVTTpjkB++cVIg9Q6m15uHzv0UqrY5QMbJb/7s87pl/zPtljP9DzJhtXrJ0K8R6e5utXZLhe2XpeTdpRdWTN6cZaLCC/iSIZ1x40P5tmcnBn3zrXzwh40fU0Vdz2az5e+Q0vCiuu8qf+7N19QW1WAl2p8o7v/Lu2c77VnQbEatH664myy/4G2skIUi/9LO0C3GDOOFCASkRUYee/6llxq59XodnrptpbUIwAGc1zStQRXzvoRiMsry7MX1L3WAyATfPe83OVoc7VO/eOprMkukiwBXEC0L21NYvXVut9ebhJbphdu/THbJvbd3lZJiFdbUFZUS/ELTtCE3uxYUjCczuuwLY5muX7UrBlx6eUXvEo9Z7PYkm82WB0hN00I96zSilE0sqAaoisTpOShccJLv+ScGlfm6/gF8KZEP2Wy2VFSDliFt8uSRKAakCB8/F63uyJD7NkUH3oyTVyA6oxpxFC8wldKNSSINiMCicsjP1x8311dX8nSzgN/BgyW9J2vQnAhn5DhUXTIWD5fw5bACAop90gJKDD8SFzeW8JxfsMg7hOA7FCZ4nJSKLSzJZOoKfAw09cz8MzB82EPJTVCNcsa5Zsqe0fBhxUjJmE+KgSApue4F5sXSuoQcpZdCZ48sZE+d3J0/JWbnHHqjZd+I4MvZ0ZMvhlfYg1moFL3d8vDt7xqkWHpHemPdQ8fby2CnrwAokAYZJJzH6L82iva/BTEx3yDixVxUet8JDJRxcoMQnEJ1gps4IrrRiCWkQcu32X1wD6G6J2he+AG0YQon9yTg1/eR9JJOy19CQdx0wAsyTr5xo8/rlv3PtVvO9AZ2A8L6OsAsVD2uo5Syymacf8p6PGlUKpK9Rybo9zX0ndD/2frzMsON+g/PljL6mRPeW8pfwIbPYwe79Lp7a6enp78xZ06o7gZ1vbes1mOvQJMicEiIlWbzietXctWar/qhwfnqPscceow/zk4tMCcXBQHsf70RboOQtz9zYhPwGZBE5lQHQJLJdHtuYGDim9OmNb1QowYTPv30ROcDB+6pSpLMZrOdAWprmmao+HMvpAeVRm0kzearUm+RCQK4B/V59QCiLncIwf5cfVq9crrsytHd6QeCd9W6EuLj8/Izz5BdrRo6l+uB0nvu2fBnn0EFB5+maVr9P7teIIzAJZ8iEfbqkIZ76pzy64CqwZ2v+eqrRYbw8KZdxx75zJjv6gGUd66iHJsdxWC0hMypmZ7xvN+BdKCOREqbzeZNx/fQNG27Z4+nB4eXvp2f5avzrHcJ8Lj3c66wPn9U9iEYuEsirznQAJAkLgO+WGQ5X7CvcCQPCPmuxaCoN9ylhnxdiDOMNgUdqV3WAIG48u7EbYErB+/xS2lyaWKJv2MxScKb9diIRfYTgpooTufLUnKNMEKSydQXJUZfF/V3t3Hx7edn/tw+zxoynpCoYjjW9MIqLkcNB16RkhumyZNMptB8ozNJh+gX6NBzKsThGHh3mfFkYUvXP97+1gDQZU+DXiEF/j/d/0MrOXFF91K91PkD5BtL2Fz3KBf9Ci7N354QftQd5pLogmSiOEuFw4WIF6NQMBQd8AKz5AFgI9WyfyM7vCUSXxZwgSvUGhxI5he1iGQtv+R85dumju+JkMIap+nUW3Ped0y+N/MupqEOskky7t/DWORhTnoU9V1cKqW8jjDkllVtt5zpDewGhPXRqDTqYuDpf5UzrZhGfX95+pjHN2bdA/Qs01P7gefqi01tgvjgUKFs3TJIdBp/5FXfPNf88hew1eqtPZ4DGiZOmeKmirreqPff/1FnNO4KBjEO3n7DbK5ST5PIhB7A+EIfYe4zo0Gd3U39+e71M9z1R2EJqgv2q58TTYOlr+42IETTtGvUVTyECGeRMvzRVauyzbt2eSOwzcCIijVNm832BTAY6KJp2i7P/eWQHrypYVVPnIRyojGoLmVQEcPx3EZ+Ow+82WQssFHTtH7B334bCaSV+PoaX5w3j2anThWj5NhevSFF4dU1nUE5PqOmaTevIyO2Aj2BZRI57lD90V0u+pxffcWYUdentYmISRNp9tIfRB0RblQH6o+oFPOhKsaKAY6hHExjiTzjWc9AFEbzGoywe5VIO3ckpMav6+s4US/oEhSJQ5z3GQXCCwP6QCKfqPIhkkQebhxMn/8wKqV+h0sSpRfgkpJU/xTHgaDdhlJdsUBS9Nn0Sye+HXelNYJvJfI+zxixqMPBF1jkEAAh8Na6x0jJiuumNZmGolK8kRLp/uKxDNfWEVeMi76FEX/4nGNOcTToSoHgqqLTivay1qDuxaCy5A5pIUGBDh0E16LeqXtOdMU33GF0h/uWKZFygchFZVk+G9Xr068/jd27B4jhl+fz2PJ6CPCmTBTjqHS4EPGiM7DNs89JzJJd+eiRBjyyHGAm8bwG/NQ3gF7f14ZdxTzb+RE5t6347dcD3N5VjOhJO38rH62neMBQOB2OPyrd3VnG/Xm9++8yIURL4HNUt3gZ6u9skpTy+L9qDf/JdsuZVmEewvqDQExVtH9CCCt/ozO9Gc3YyFnr7l3XOfQbnRux+4WTzhbpZQYAF7j7zKzv+qlNsLHBpdINK6L8UlB1zvGapi0FEFarkptSUWq9irJhFet6BQEBhpnPPUdWWBhL9HoaCfGDpmmK5CEyoQEe6ALQBDC6BTz4dD02dAzhkZ+y/vhocbqlIrbSZrN5NUsnaJq2pPw5FSHCCZSKy1JpNo9PMpkGAAtQDUkSFY2NtdjtuTabbQjqj3uBpmlTyyE9UuqXLTy/bKw1tw0qc+AlPJeoqM0KLCNzajlbj81mKwWyzVI2REFtIvUOx5ufPvFEMKrRxUtROMNityfc6LOy2WyrURCU8kiwys8UMd2nxPDugO9aX/5s4pgUoC0qI0CxKGJ/rQNO5wcTDLnr11Pw46Y/EAy32O3XOVHPWOVdscBoiazIhGTEg70txwhDeUSZNCe2GoowZBKKorAAeHmYPTkYiAeSJfLqfV6LTGgOTKLtvmkcbyooKPcdTuDEUwXdanxS2iz8igxolxhrSgYWOIzuMUaHTpfavFjWPuE7cdTBI0s8a1FqLrAUixwPIATRQBqQKSU1b7SPSSbTpIv1SudHnfXVu8Mc1Guf6TJXy9HLnU862fyOAXhZSl690f2eZ+nsxj1+f8TpoXp3mv8xw1HcuKgpGnKoj6A0WOx+dsFdD5A59ZrmNBEvBLAJl/5OPjgFBdEl7k99HELgwCIjKl0bjeoqr0GzmFyGngpl7YP5cuC6EO81CxeKA5Or0ea2MzgPlnEvs+RuIEsXmO7QP1nbN7wYvk2E5W1hUUcILiE7348WzKI3/xoawsHAPVLKcZ7/vwSUSinf+rvn+t9ot5xpFfZnhPV/pzOtTAkYgA/j/bqWPRNw52mfkLA6veMaBp6q6cOWWafpeKrkEkpa6WPxhWkGQnQBtkiz+U6bzWZCRYbfaZr2D2G1jkBBRG4qG2aeM6f2odjY03nBwcbnEhLoOXIkPg5DSY+pZ/ehmkICK1x+yQm/NPiwWfu0CGNDYIM0mx+oPKbNZmuO6oT9XtO0e8uf1Wrdi+Imvo6RKclkGotHkgwVda4M7NVrarVBgwpwS7thxskPBz9d74PsIL3OGneaTifKy4DedPZnQKI3nVzFmlLcUjbtpaTYGgOrpNk8wjO3v+czeBiVrqsazsNVBiMqRYKAN8X8YFrNnMnJzS727rYnhoASrxQp+ahoYzWwgsypxdYtW8ocaWm6zDff9EbSOwFLRSgTgECsBx4A1kvkg1WsKQOVBbiKW00SeXD1pe95xkV4pM6SOxSydkqGI6VDcU2JzCYyIQx1qBiAqrerA4pfMUSnuzjdaDWKa3cbmVOlEHgd5AEpaSsQtQ2l4vRdSWEGyzs1pU4KHV4s6YxkieKKfQfL1U5hIfB2pY+UkpWVn8vz7DOQzNbWVst8JiE8MjfTjyKjy7Wk7SX93nUHoTi8BEdQwDXRaWRCXa7qwTZHHSIA6abDXt0anYOtF4Po7PgVAINT7ENRQ16nDQsg4sX7/D76cb7+mEuLq7lqBOVmYJG1qrjOSF2OMIxGHGkGtx8Cl7GJlJzwfCbLgTENTiPPKA2pJ5klewADaLXyYwaMHKmX6Bd9Q36JkeAn+kBMNvRZjePDDIzOq1P9s2gIW6CE5rugMlZbUMxJ02564y0DbjnTKu0vENZb+fucaSpQ/9lRz7F50B0sfv0POhwLosQAPV6Nkftj/MXobdlfLfswfZgX2yis1jXAQFTqrJUXtmKz2cqAK2YpLcBPqEitgzSbf69ybqvVFylTgahn16WfHvrN97UvjWvl49u+DfppCzEVtC2KcNXYSwUH4GUpogp1mYrmjQQ1TYvyzLWBmzAyeS3JZPLiNYOMbh937ekvChkQIuKyHNhiA/nsvXOOQXvy/qBSPfHPzGazLflIykc9TN9V4mY99H2fAP9A1YzSUPR931QY59pIMDKhLerFfRdQHw9T09FGlwgoNp6pmx6eiErdXneYsdlsR4BmadOn301p6RJU4woozdmRFrv9kkCMRtWHLwK1JNf/wdpsth+Bu4EmmqZ5X9zFQHbll/70x+pGnmtaknbXZ+HG4BwDoY7w0o55WlmkK6qihmou6oDyOe8+thS9TMFyffQqBMeAJvgXtKYo+DtUnXNSoil2Leogdw8g/IMdV3oPPxMREl42E4ucU+H+2qjywyUpuY5EXyDao9KupUAt1yoyj+0Ny93/U3QQ4JPqE8Tnx9/lRLN9m4vO6r5C1Y7bcb0e7K/Ax7z+zO8ElJxdKQKPjrzTr1n1lGCeeV6XXSfHz1tqsKFKDdd9VuK5sIks2b/oRHwPdCFpWQ1HXxuZetYbClzEgR9xTeD1FAi8dFAWRN/m+UzWAANHXWTIp/msBHwoiFzF2xkWIJdZoiceVqZ6OWx7bBcNEzoHNbj7dCseCIzlSmAxI5eW+89/CtmDEOIRVCaqABVMFEsp/xKv9v91u+VMq7CbEdZ7/m/l73OmburWFdXxxRCIAAAgAElEQVQ+XIorwJdX16whcvNups6cTnbdWgALpdlcTtIurNb3gCfwiHJXZDey2WzHrkjZeKBKxRmAftJs/uG6SSMT2jsFEx58tt7ob28PMc5bls60H7IAyo4PDi1MH1Iv7NLs2TjT00GlZcdY7Pbtwmr1Yv9SuYm6jGctKajOTKNZyg9Qf6BVMjJ51lQfBTu51427abrPGePBoD04/9GRef+4j60CYi6UrDn5cJ+/xPNb2epbrVvPQs/mkJcC1W6Gm/XQ961E1TtBRbNjLHb7L0QmRO9c3PwE4N9lQkoZqu4M6uBy7v1Ht+nfnbyt9rk62Z9I5Oibrclms3n3c6CmaesqpbzdeaHOH6dtO36X01cKVJ009QbjTEXhVl/VNO1l9RDCAZzDImPKL4xM6Pr2pC3r66aHRfbb2IwzhhSOBBzAIcqIdESVNSo2JcaUNn3hmnRnkpDAb1jkdQcnIegFbOHtJ7N46r1w4AeJLM84JJlM9YFVQsjuAAGhZRcLc3wf8GJJPWP8BPQGHpaSz8t/XoHkAugnkRs9aznw3azunfUY1ucasu9xCYeIKKtFu8KORDqiQTmB31HZg4/JnHq1yztJtHcKfmt4P47zBh8jbQ6CeQht3Sd3PvVrvboC4cVlfw+Mstjt13SyixqHv70Y3/ve9Tl+TCw7u0LGyTHX/B7hxSHHEY+L1Wtmc/JuGDzwSblq03skCe+hJ0gcpzoq4xXBhg+z2D8hHJj8Yr97Np0Kvbz/tit1QoYcbycb5EcIgJyQIjbecRTLiiRUsumfQ0N4zfMI8RpwXkq58J85z/8Wu+VMb2BVEdZLKZ/x/M7K3+VMw8PPkphYFz8/5glB7QMHWJiXx5Y77qDvli3Fw9et62+x2zcBCKv1CeA9VG2vgTSbsyuOtdpqTXwZLMcBCeOk2bwMgMiEaFT0dD+qE9n3lUGRxA2pyQhrdumnC9ISUcQEe2w2mwZYXdnZ316cMSMKlZblp+7dL348dGgUQtwciuIxm832EfDIDCk//VUR1Od41pzrWVMgqqFlMCqdHFTh9kvA9hJKVnZPqLtqX82aQcN27qTfqlX5wEyL3T6P/w8TVuvbwFMdgdlw+i6zOebP7gFIMpmaIkkEbhcI6pU2crct6KLL7N+QVEsUnR9JzvbNde1AOd41InPaFFQd+jTQqKoosqJ59xr4TNM0S4V5H5HIuQIRdjnKwaV6Zb+Y9gTeVRVFoWccL251t6ZpCnuZJFzkhJwgbs5XqEi7KZ50Z3ZIEWF5ASeBTSn+B7/dH7zjJZSAAKhsxyiL3b6PJOGNwm1YpLmqucWdmy7y7f01cYtsAkoiJfK6A1bG6wFLzx4NGXdsbziehuWrWFJBXVQd8IKUlEfRAvEzqht7kUROJvrdVgz97A92dC/hVCMjoHfh4qBfikwO/F3o9PmcDylzVi/Ujxr7R0rV6c8k0WdmazbOaQmkRyVSO30Y9X92M8asA5I//Krp28EOw1tUocsKIAT+hcsDihbvHMSTtVaCYA/QVcZJl0B4D7l7JLITgOjy7hvsevI5esyB3jPfkE3oAXTzYn9FvPA3uHS/DUzpFNv4+7e5z3BedjJmCACncLM9+iR7Gp2R6144ICJqnKPLc8/yUoo/HIyDf15kWkNKmSGEqIfKkHSRUmb/2X237JYzvaHdgLDejIoAIlHO4YCU8p7/8hxWqz+lpRfx8QkhMZFv+vfnM39/kvR62hw4UPLs0qXeGtjR+WPGfLzr9tvfQKW8YqXZfKrSWIEBkF4CIcPc8tCnQ+zzUbjF9qjTvdeuTBwXXbz4nog6wi1PSp1oUjFK88A/nMAZTdNikkym239r1errhWPG1KqZkcGzCxbsC8vPf6gqKEtFs9lsvY5JuWWyGqwkpNDVNHf0kfbAaKCrZw+9dl090fNMG4D7HgQeTUnJzJ4/P5yrkmTTLXZ7lXW2SvvyGMrB5X8D+cFC1KwMtbnGVN3zLhS05g4gukhXwOGAfZz0PwIIwtt0z/KbODScCgxGAtEc5YhcQH2JvHCDGSrukXevz2qa1rDi7wTiS9OuwEETXqzlirhk1KMgLguApytDXDxj5eGWaA8dfhF4iHpnenC2Hl60TaF/aVbcs9+Hb+1+zJEenRt9sWbeNVFXksnUBnUo8JI27G3QKueJrven/wp8i8XTmXvtGqMp9TnL5eoGtG2H5Immrat80CTxITDh0M8Rjx36peZUKmNJk+0rAQ14SEq+FIjnAgp83hi6vt3lZdOHnaGCHizGMnD4nENxNX8kLk896CsKsvvWfU/XNyxRBDn0OHTuNKNbN9Z7CPXaw6nis9X1Gdosj6wjoTJCCKyAxsP9jtFsY1PU96p94hex91GFLqtlRjJA2ay1ccSXXsygw+IaQDqPMI06rEV9j2tKZHlBX/gUXAJq8GQdfmqcm9fLn2DxxPzuKPhJL4ms62kw45AzHPSlF1uJwkXAYjFz2gcMZwi+kPEjJKybxisbH4OhLSQrnWNlvlxR5X7/N8wTRESgvm9PSim3/N1z/G+1W87032QeTtljQGNOn97O2LF1+69ZU399RASG4uIsp79/jcQpU5oDqzLDw2+b9fTTlBmNdNq/f8jWmTO/qDjWPe9/o98X43/uSogh+tlSN6P35NFi3nnvr4tQdcp1wFLxZctngBmoWlJ9L/FDRbPZbOeAaE3TDMJqvRPYpHc63W+9+uqFqMuX63guuw7KUtGMVqsWKLEa3JJfnziW1uyiI5qryi8OIAWl/FJlPVFYrV62oXNbIEwvhCtt8uSGXC9JNrFiTbPSGANQjS9lQAurEHNRDTadNE27StDg7VxVNb7GXIXWuFBp7o0ohZraKIrChtHvvENJcnJe1ocfNh9mT85A1TSrAw9JrtXIvJlV3OvydSO8zWOXxr9YK1r7utps4CmuQpkUjCdjEp69GJMypfa9GT2qGbuNTEZf5oYGqRCSk8sfbWcue3hn4rh5SadRh6p/SOR3N1pPksnUA1WjbQSSVj0yadgq56ugKY4B1+ytcgCngfoMXn2FNQ9FAC2k5PomniSRhGruao1FHkoymfqgGvzqAjLfGWJ94vjmnmbD5exlTRJTTja83KXT/vr4OMq3JIvA/ENMWqgRnbaWke5B16xFsBp4qFqvKYfvCvuyZd9jEfi4BAJxFBhtsdt3CUQbo4vfm+YjvrIxs8kDco4QxKBS+OeZJTajDsxlwJ2JX8Rup5Iuq1+gY+mDjx+f+tKaV+Sc9TMLeVm/CaMcwHggEomgq0TuqrS2IaGi9PMR9T53xjf8xRB2oQ7iSjnlsxtVMtncR1sb8OPGL0ZQ4xCM7j2IONYBqUjqBX0K+UZ4f0cXOX3BDkH/UXDbp1lAey9v8S3799stZ/pvMmG1bge6Aduk2dxLWK0zBMxuC7wILw00m2d7rmusdzqP6F0uwytz51L3wgWAX9rmd45rUdy2P3DP46Ojms27tzqvfnaJB5oFkN/In67jUt5FpW6PVZhzPAojWwg0lGZzlc07NpttDTBwpZTDlqmGnHJ1mZtBWYhMqAlMOl7TOPiuuIaxOdUMLM5zMWTiUYlqNNmCahraVdW8FdZ5DaTHKsQWlDZjiKZp+VVIkl2taV4dozOq8QSgmzSbd9lstmHAKn2ha3H3UcmngQdRBPleaA0oB21DZSW2VaWykmQy9a/x0kvrPBSF0vZAdsbHcRdrOnxlokQOv9mzVTbvXuPB0gpEXVQmRADNJfKEZ04j8L6QYoIUUh/irOZun9+DaEcdHUBGl1DXkafq6eutvrSpYdraFxjyxT48EWWFlOkSiZzwV9aVZDLdZ/R1LXeU6qvr9G7cLt03qPRvNoBAfAqMADYj5HuoOuMuKbmeHjFJfINKNdfCcjVi3xHz4CuXjRefLTDk+fq6AmhV1J5GxS04ZLpAtVz/Yw3ORyxHfV+ySRJeesnlWJTotdcqiIDnM0vMDSnWzx6QHMmdJ8MQCNxCHnjsp2MxeTVcIX98D7F5jMGiojoh+AXFFf0As0QjFIMUwEQZJ5dU1mUNjy4mI7hF1qj134aDmMEF8RhR1OQL3BxhqIyTX3pKGKNREKp2LkmQXoA0OHA1PMXGsrKy6iVBU7pcaris4vdLRB3cz6U2bRnbBWbtOkhd2gCbnv2AjW9G8t6jF+GjmZlO3AYdz1bXoXeVAX1knLypYPst+9fYLWf6bzBhtXrJCFJQ9GsjgRU6KNkAfkFC2DRNMwurNQJ1cg2KznI8Y3t8XfNT/ikjrhgzfHzcvsQWteWb3r14fmRtOh8tzN0Wd3rA7s9aPoZOPAC00zTt9wpz3ouKBJ1Aa2k2VwkDALDZbJYiKROHgjNPNTKNlmbzJxWvSTKZHkEyF0GY0e0jTYXtHM2KW/sU+xkxxzXgcH0/3j9SlNuiTXCortDVqUe/Xjel6quwzmEortZySI/NZvMKXU/SNO3DCmu4RpIMBQ0aPmzBgkJUytUHGCgHH/4aGOI0MGLnp6Y+Nbdm0/SjdO8w5UB9FLTmL2k+2my2PVLKDkdnTS0KzpQB+dWcBObqP9FJMeFGtc0bjGPxPEOCWTM/hqof1gEmSOQSzwHFy9Eb68ble9IvhUOBv1GiLyLQGVwa5qz+ulz+zGcoUYIftTTzMygJuiRh4QDKGZyQyCZ/dV0AJIkhV9L9Pv95Td3i4nyjPyqS+mzy1qPf59Z0JaLSojUl0iUEqahu5mZScqzSOFZAIz6uGVnVx3MVs2wAuGg8794b9Cv5xizdlSgnf3TNT+m5Lqy1xW53VBjjfhRs430s13eXCoH3UPI4s8RZYE1EoUH/zC/1smrn+4aX+UmudMwrevz2iwE+fu77sSgOXCFojBKDPysl9UW86IMSNzDCVbHxJJPJt1qNkq/KSnR9i/J8OFrUli/bxziPrHnVIK5w6v7preqPPNpRf9e5FoXBDt+KcLKCI85q5ycU9Gz+YXwfR0SdwyLqNAZUBHyNIxSCmgjXBf6xXPD1eCijDF8CZBL9gA0TLlG2ZHd/H1Z/BU2/3o6lfzfPrZNlnPyQW/ZvtVvO9F9s3mYYVFqwASpi2ISH0ccqxG6g+L3dOXW2Nw+8kBWsD13yYVrJuK055RjCDGN60Z7gnw0/dorxSRg7ltrp6cX9N26MTli5Mtdms41CpULf1zRtumfO9sBuVLTTS5rNtputsZ/VGnYRsg4CbpgpzWYFZ1D1xN4ojc8eQK2LxvMcDNrNFWMGegLl8y8+60ytFWFEiFesQpxARZAfaJpWNcPOtXvTkyogPRVwqxs1TetX+b4kk6ktqt5nKjEaeWHGDHdmRHXdG6su7n72myvRqHSiAPj91RhKI42y88Sjs1CRe5Vp6j8zr4Of3nq62/3HMfnUtHolepcIRKWwFwFPVlXbrGIcX9TB4bBZM9t1LjFk+Bcd/vjksREZqGi8Yr07CwXZSvw27PMf84zZH1MBxlPrgw9qCKMxR0szDwW2bK/Olz3uZqBnTXUl8i/BiMotSUwCFgLPJ82JLQZmA8GXo8tYOzlT2jsVtrlc23EIQAjuQzmhHVKiXvKRCcHAo7TZH8+V6kGcr1dx9IuomukyYLPuwrTpLXcGvTMkrjkNLxWBcjbvA89b7HZJkhjruTYOi3yl8lIriIDnSkm4V2ychgRFd/dhbHy0M/a3QIPRz4XR6NpVlO9zv8Vuz/TcuwOFrfyHlHwn4kVTFDToWrHxJDHE5RSf/7K2TkrqierNfShFFxLO3am93OHOSB1Amc5JemBuXr388EU6xCIyp57xzHHx55d61OzceFeez2nnDK4S+E+RcXJR+XNEp23F2qsnDU7DRw64zKH8RswL0rE0x8VrYcd1Q1iyvxFF1WFSywcJyPkC5fgXyjhZ3vV/y/71dsuZ/gutYjMMClNYi6si3X3k4MMF+2fHfJMf4x++bEcOK7UwFi1JY+Lm7FJUpLUelfa6JKzWJ5HynQbnzhH3zjv4OJ1O4ONqo0Y9FdipUx5wUNO024TVWh8VAfsBD0uz+fMqllZxjeUsRY+D6/3Bh73SX324QT2xjLJFn9dcPirhkUde2Nu2rRi2Zo2r37ZtsyNffPF1nzp1SoA/NE1r8yfzxqIYZAzAvdJs3ljx95Vxq9dZZEL9lKBTbwx/uuXQ/S0aMP2jTxj9q6BZcSu3j/RNRdV4F9nWtHoPBXmpp2lalUQWf8XW71jfPMwRdmRpg6Uk1k98ONEUuxrFKPQMV+n73gJm3ZSiMDJBbF8Zm+NylgVlfbFWd+fPzQguLD83FaMiTC+m9rquyoownmoWC/4dO1Lzu2HxzTplxtV5gJKLAfgBD0jkn3IPX2dJYgbKgY7HIpdOeLG2ONqu8Mo9SRFh9Y/6gWqGewfVYS11wn22jf5y3U2hG7ZE6kra4NWDFW6ofwZSG25FMVp9WjEDIBCtgAM49U5Cs33u8v06b3T0636ozEIR8OrQ55OdOj1zgWlYZJUMVULgJbeYKiULxGnRjSi2UwAs58Sx3ODsNHu1DukngkFF2WuBR4Yl26NRUX2qlArrK+JFMApi0wg4vXTLw3eOC9K9T2DRfe5dXZzuEoPhaMAh7AEHcOpKqV5Ws9BtDH6975ANk6kgNi7jZKlnbSP2vnr7p34+xWUtn7X7esXGUY5wkYyTkwVCUOKTitFZj4dW59N6cArQ4fkwCl+vTiDwuDjOfLbFncY2qz79ppTRcWE/FJ1kNVR5oqeMu/VS/3fYLWf6L7LKzTBAsd4lTwF+X75zNu3Bvfk1AGNGl1CeebIunwI9DxVc2PpKal8ypx6sNJaXZq/Ut6Sk+fKnnrKgmooCgLKo115z60JDZU/FJXwGdcJ+VprNc/9snb6bt+4vM+raPnKuxDmijp+h6+hkjEVu769vWE8UVusOoEvLI0fOv5CQEIVyivk1X31Vb4iIEJqmBdxkb2qi6oQBwHhpNi+tfE1F3KqmaS5PXWoMKl3ezg1BEyfUYumd4Ty/+oSj+9YVrlxDtp+HdHUDqt6Xa7PZnkYxLc3UNG1O5Xn+qgnEtyv2rrhXL/UlwzsOL6+5emps76NSs0bUwelli91+lTA8MqExCnfbF2h8ZlANfepDNWjw/A7CL/mcDi7024BqzLphKr6yJZlMTYP/8Y9fQvr1q3Fpzmwumw4z48XL5EQ6l0uurTH+ZUsS3izKQCxynUAx+AgH21bdFnvQ8wxGP5e/s21B17w6Jc3CjKJc8q0MBfrfwOznRhNcVAuLNFaewiMGcBHFfPUgQj4LdAkUOf2XtOh2L6qrWu8X6CjtMfC8b2Td4mFYqmb+qSACnoMUUcBFJOEkkcwJYt+ujuOpMIxr3mn6eFmJ4RXU34ULWDEqeV8rJ34dgb5S8gORCUY37hF7a5x9q1lOjYjQMn8EAgwO7M0uuj8dsF/3x8Ee6b+seKzWi/UfOd3AP6UhgBt5dOZdpxxnwkpbotLgbWWcPAdwdl49uedUBwZ/sLaWlFwQ8SIG+A2lEPQzL3MKwWi+GJTFkC/DgeHMEvfEhzPi5QjYWMirfR+VLwuBHr+sUoIu6ZnUyone9RDwJip1fgZoc0ts/F9vt5zp32xV8eyybdsp4FekZOW8c+/135vf+a6XGnbd29hffPPGGfoeKAD1Etje473GDbbX8WvXAgqOQEhlcgFhtfZAYRMl0Fmazb9BuTD1W8Bjwffe6xPQty+WnJz8jLCwYCBBms1VU4JFJuhRDmnEiw/XuPP1ATV8Hvv+Mi//ls/huBhiVlw4Wffby69xk3piZUamxClT/PDQ8wX366cL7tePzLlznxj8/fcfVHFvIOoFEAG8Is3mKlVAbNusS9CJR2PfSt0ZuSe/EVyjNlIw5Im6ri+6hYYanHKH486e3Tx7MhqlbxmBemkmRUyZ8pKfyZQKbNc0rUeVe/InJhCPAkvmHJrj7JrVVS8QysFXMA9932KUpJre1+VfdHt+9wv1yxpH46GOBJDIC4vij0eYTAN9foz84ZvXYl+//7+yJgCbzdYD+Dljx5fO4s+3GhASvUPsFojhFrv9pgpAVVqSWIKCcJiFhVDg67CsgJz0lrMX+jmM97pwtUj1O+ZzKPA3ivQFVHNEuPddHudYnPugb5o7uKGUpHrGSQfCsEj/ylMIhJe0YYVEjhECb0o/VUoaJplMwcBHeoN7sMupE0YfV46jTD/RYrevrmrJQh2c7mNf2xTaHWhePm68WPx6BOOfCgOfE/RO/CJ2G/AcSsc1wCX1jrXpccYOjqiCGQG/56EOogKgTOd0/l79vOF0u53ugJF7dQ/c5QA4gJBmPI1PibGmblTQZT0aUZT1ftdz4Xn+rlJUmnh76Se+rpXbR+ge/eijH6SkL4CIF4HAfprTlIcAyMZ0qD1HWp7Ewwy17SPxS88AuvdLw72xiEdlnFwuBArX+uBwSZtEULzcvVEZpHzW8iqHmMI/mc/3ll21/xPO9AZyakdRuMYGqCafh/674OTKPLsA99TrVfLb/Od9S3z0YvuMk7Q+V8rwaXX4rEc1nlmfeeGtxEuv4WFqEVbrm8CztwOvQdpdZnOda8a3WpuimmwMwAPSbL4OEpJkMhkD+/XbvuLeezuuB/p//71j8HffPW6x28vrMkQmdEZFTr3w1BM/6xaK5Ym6dDpW5LC9fOq1Cw9Grj4zNCoZ+FXTtO43fOabMDIlmUxh/l26bA8fMSL28vz5lB45cg2UxZNSPo5Kea+QZvM1jDJEJrTxrPPuomifhnvnN9M1WZxGrc1ZDhSs6Ftgkfiy5WwU5+xxoFnlA0iSyTQdpX0aBDii3nxT6IKCCs1mc7UbPdcNn7eCesu6HetWhzvChwEPapq2vsK69cAgYISTsi7H/ZPDkwN/p1RXQs3S2rJZcetDdcoaJACfisxpy/xcfsO+3/49OnQ33es/M5vNJly4nNur23Q/8DqPj2uQ6cozevG8W1BQpj/Fv5ZbkliNS/dQWuK4uYmdLz11x85Guk77G6gITdllYEeuLuvL7yJW90cwABD78nuyLXugfX9+z5aeca4ARiwypOLwAuEte1xDciEESqjbGyUCRR8aVqcervbQgW01JAqWcxZFqHANllQIIum9+RI/9hHo3deMm7JCnIvSUyfsFBKYJhPm/+jGPemU79FRKYEHIvIMOYQ5qmMq6CzrOGof16H7AVhE5tQUES/GPlSXjzYNRxQ7cZYGUE0iC4VgLQpu9biUzKuoy+oSku+aXeGbZpdlka97gmzCklXbLc4RixL1QLSUXAIQDlETHRcQCBZTSAYdmSXno/4+H5aJoh8wouNZnHtLMQDvMks+DxSgL4UXAyR6ty+q8z4TydPllBNXW8H+WXy+y1F1+wwpZUvPz8L5m9+t/wn2f8WZViWn9iKQJaV8QwjxPBAmpXzuvzlPKlD/sf6TODCiD2++c5wnR7Zgf0M/1r91xtXnYOGRDq/HVP+tcUAUlcjehdU6BaUvWvANXA5WDCQGr8yXsFojUanQIGCyNJsXXbcAjwVYrduKwXxndrZzzMyZOkAX4Aos6pCnXantqB9FOfG3wrnNGhSZEf//2Hvv+CiLr/3/PVvSG0mW0HtfOkgVdgWxAKJIdSmiooAE7CiiAipSbCARBEURzYKCBQRRQd1V6b1s6BBKKOm9bZnfH7MbNyEUP1+f5/Xz83j+gVf2vmfmnt17zsw517muoVW7IEQ5liK73Z4PuEwmU6VOR9hsT6EUSSplZPK2ESelvFy4dWtOdmKiD0xzCnhoxPvvv4mSANsszeY+GBIMqHrPe1GF+mVUfR64sOVzY22Ny3Oxe7/eNf3G4EP6XrNuFspO7jOAKZGDBgWF9uzJpalT58jCwhdvJLtW1pdaxC8BccBIm912ARUlsJoGH1qAYpnqjR/gCZVXPJKjyfrlx+ivOrk0Tp+zPJ34zOVPv384cyaQ/qv912CBuOZc3+T49G8efLO4TmEdTfOMYbTKoad1VosYFIioOmojWRbyrrQRBTK7C3iIahcHkFUlkJJgPMJDTkRxaZWckF2oHN0y0uLLyetZjcY44LNiT3CfAFGMS+ovBGhKH7RMS1oLlGCRZQWWAtECOEQlJBdC4JNsOy0lDVXjYi0wYN/Phq5HthvmoQBwoDbFYywOx/aydvPCHFysAZbEp+Weju+WDXBZ4An3mYYNd357N60zaogQV0DZxsCN+/KO4EPO/YFnakcFXAaF8p7q24QKRGj1fHIKAtDqlkJmBp/J6XJ0ReCT31yU6bIW6N181zSdNXdncuxKi5OtXzjcCNggJf29bZ8EGrIHG+sxAy6O3zUe68aPgIsyUewC7n0hnV5zs/gWRSbxEzM8x0HEE57yIc/UGojKUe+s8m1wg7FVb4/tUrsK6ZpSxn1YBpP421mThBA9URSOK/yc6Tz+5rX1n2D/9c70WnJqQohjgFlKeUkIUR2wSSmb/j/25SE6WsR9soKsiFAaXrrE0WrVaGtdL/d++LbmWmTvwmYbgAIXOQGjTYjpqJNWH5PJtFnYbMF4ZcOAOdJsnnrNMdhsHwGP9HRLOTfV6W4/+VDxiRBH2JGQ/ZRqSogrrelpVtB6W01nvXnAd2J1y2GospCr1GXsdvseFHF4ZbqkPvWUEqCZNJuTrzUmu91eAJSmPP54Z1Qo7JaNt93G54MH0/h8bmrS0+cO6NRJpCJydYf3+i9Ii3d7CQ6qmUwmvXcM41HI2evWzfqb1WjURg4dujPMbG6fOm8ezuTkfFRO890b3StQCzqwRhoWPu0RjN+6vMWLUYfyZcu3zvmcpwf1XW1CgYb2VOhfKdYgO3u08Nu92ZQEuwc90v3LF1FsVVfN9c2aQGwamDLw9idOPkHny0MJcqcascgkb79jUGAhnyqPFRhncTiKrqkHG5Ivj/XYL14cdpS9rc7vOFMvo0sl3V5lbcN+m9QsdM97fWOWoxMu6hqzZctb09IjJ5dW9Y5Ti6KMjAEGS1Pppw4AACAASURBVORXVz2LYLd3PvpIyWas4mfUSS0IiyyxGo0tUL+Ndt5b9udFukaO33rcjiSG9nukZn/bdHfsokmod6krWlcMbqVdmqsvlnuqnhM/1Dly/O6zLdreduC9IoAATeE+c9S3bUdVmyO1wi1Qm7TJIxxJzwId1vwOY34lI18Sgyqp6s4MuRo/4JP/c1iNxuGlGk9CgEcTExTqpMiYVTrm03P5LhlcBYhDitkoWk27RJrLiY1/uO0MKV3qJ81rfqh5zaOtgBBxggAUUK8eroBTvF5cW4P0XKo2f+I3TXbOb5hrCO95sSEBHh2lehff9nEwbMXHqJ/l/wyfrxCiHrDez5n+7WvrP8H+LzjTSuXUgBQpZZTfdVlSyiqVt3KTfYWEJLNyZV0iIuggBHuA0V9+yR02G2vvvDNz9b33RlOB7F3YbJ1QShECMEmz+Q+73e4rM/jYrLQFj6HABVZpNo+4qmN1muj/2v2GuTOGVW1udhSw8EIJGb2j6Tbaka91sy9Ne2Xz5uhv75DC46tNO75i0KD5P/bqlcA11GXsdvtcKmikesd8KwqIJIFu0my+bg2p3W7fC7QLvFwS1iX+eOcnRoQuWzigXr2OBw7w1EfLaVZgpFlhm6JgGXIIxdRUKXLVbrf7Qmq3mKWsjqo7dAEtpdl8vOL11xmPEThctG/fhcwPP6yOch6ZwDMWh2N5ZfcY0sLGNTsZ98HI1Z1KH/usW4lAhAM4nqlDTvMQuo09uhZVBvRNZUQP/iYQotoZ/YW7PoupcfuXVRBSENanz6XIgQOrU2Gub9Z8IdMOmR3S3j70tqF55qtULfolFousSBv4NFK8ipChge4g2aags6dhcXOt94QmUUo5NuCjzSsnLbvXTMNCHdlAVcnNC1ULwaUobWrcO43vPhqkK2oOID1K6myEI2kBivD9c4kcdY37W6GQzCelpDFWoUK/ljKAk+95uqBKwZq6dBL7kHy6XOyc3M46OK6ONj+4qqYsUFFC+91aWh6SrHioroiflItaC5qiQsZt5XSZJQRtgP3BIvfUR827HkOBxMT2O3NIvS+9eNWFkqBO5wjaVcIuFPXiZWzTTNhePwJkS+Vkr7LVfeq9HqVlWtr5ULJ0Wr44+ypbenh2eL4b1BnKz2+Z2HhhVBBvX+aTsY+Vjum5IsCP01f0PdNi17CTHTq0PG6SddxSxGqKAUgNzvN83maXZlP8MUTjk3R64Tlmro5Evcb/Y3y+9SjvTLP/7rX1n2D/F5xppXJqwKS/8wsXNpuWwsKLhIRUJSMDYmK4z+Nhf9++xbcNG1a8YtSoqEZnzvDM4sV7QktKLBaH47iw2eqhylYCgaHSbF4NYLfbfVysJ8xSpqIYWsrLhhkSWqFOE3cA9Xc0Ctb0ml6fBldK+fnV08cyLdVzr9wefQvwkMlkWu67zbejzw4La/fqM8+QHRlJq6SkCbueeuqqom+73e4Lt20wmUz9vc/ZyPs3PXCfNJuvX3JhSGh0fGyNlZfuiunY5qVT7r06ob37xbq0P1PMqlk7LxwK2hSRq82O8EbbrpvX8zEY7ZZy5bOKXUYAZmk2/17Z9dczn1xdyuOPN0PlmgZ427sEPG5JnbAWRS7wUHGA0+TSeWLDCgO94GBRgCqb+Oq3RKNZBmruxctgdDN9C8Ry4EFgc6KxxevAMk1YWMPq8+ZRsH17evaKFa3/Sm7TP2TaKrtV44T9bydXK9hAk5wFGixSYkjQo3iaLUBnD54qFwPOcSBsBzm6TILcwZ5YZ7V1jYpaDK1xcZ7T22ZMrQLSirSIjCDaS2SlMn7XHJPAR76xKXdhwO07N1Z3XkkOC3BrJGsfS+enBzIu5MV66lxPDEAI9qJOnr1kolgItMBS4WRlSKgJTNhf9/i4S85jsVmuC+g9ATQvaCcPZd8r9jprF70ZtrUHafF7sIpsQGJR77lX/Hs96nvOB7rI6dIhBPtQQKKeXdZHVKlzPGjtXZ/HEFgsqNcqh+RDUd0tDsdWMVOsRuXGC3nn3B5ya/cAxknJ0qsexiq6ScmWD3ZE5GbujYmonxVMSi3J6qcvyP0989qVBsvyiH2f2Pgvr1ZdWP8K47t9im7a7HlAP/xEC1zCw9fFjfnFWdP9Rsj2DjEZ4y5SxGU8aC7+CIut03jtq2lARCG4/vacKfzrTH32f8GZViqnhqqZ/NtCEcJm2w50prg4m6CgKGNJCQsDAxn+668fp95228M6p7N0/ssvX6qSl1cXIC84+I/H585t49Fqw4GnpdlcLsxot9svr5TSsETx2R67/HBSj7g8z3i8TDj4iL9B7mwYlGZ6tUFVl0a4XTrRRprNDrvd3g5Vw7rOZDKVE/AWNluczuk8I4UIfmn+fJqcOQOKem9kRWFqn9MxmUzV/RmZuFbe1pAQiUKA3o+KBISURunY9lFz0u2Zzge6Ruo1EqfeJZvk9e2dDIqej5vI69nt9sBcKYsfBpmuHN9waTZXiuq8kdntdsWLDFqTySStRmP1QHfQ16Wa0i4SD3VKGtKmoDPh7kguxuWw7s5DVLsS/v19P7aZSFp8sl87ZQxGJpPphiLKAuErkcoEqvlOI1ajcUC1WbPWlp47R+aSJRLFVjXGR993nfb8Q6ZDJXL1rs2fOHHpdLeMyvHJyNXkzxxuMQrE9k2WJuPDjbFfvkIlZTwCcVRImn7zG557TVJ7Vcc3YUJwGajq+VwIIdj1nL32hx49Szv8Go5ESoGoVOrM7/42qJDmcZkodEAdnlgYgdqIDMdPu7QwuJQd7ZOpdZgDh3Xb6hVpCyOL3SGsSn2SvXmmsenOWsuwigIgH4uMK9fPTOGLwLiBwcyQZ4G9BBYdozikBhBuXhP10KsrQxennAgP8rg1oFI1I0YMTRoCTKckzMPcTIFHnyklsVS0Pxmc3tEcQ9OxQa0nh6wOpOaZQFDgoFnA7LL8vSEhtETjenRPVMasxoSGxGaFIP7cR1xBva/L9eOfqO76fvEH7H1M0Oj7TZzoVw9oXHsDe87l0CF+byfef3sH8NtaKXve99e+wZuzf8O8yv7rnSlQqZya96MMvyR5tJRyyn/Uvs32DcrJpaHymmlrYWEBvPogSKdKWHSWZvMeq9E4wCXE4oVjx9bY07o1/TdtOj183bqOFRfN0b/YTn+uoX7LlGLnrqdPFgR68AemlOUTq3zS/Eh2mHYnKlR5uzSbf/FdZLfbnUCqyWTyB+wEo8JascCriRMnbkEhkOugHNlPqNNhmreNY0DjaVKGblGoyzj887Z/IldVXopyYa5cVB3dqsTVLRdNAF2eWrDKSnr87bp5PTX2yEaQdQaEG56RZvM7N/H1VGp2u/1j4KHGiy98WuPnrJZ4lUlKRDGHQ/ZwIuQwHjykNPMUzF58MjQrzvWtRA6spJ0yBiOTydSq4uf+JhBxqLnXAa0l0lGhrWPS7W5ycfLkDKT0lfOsBB7zzUElbf4A3Nn4hGHt8W6vHAP6JY+MNJ4dUJtuDyWhL/C4Ud/bjyhkqqNiGxXLeNKrl5YsePdC4G3Bxc6PduLCIq9ZI3zd5xWM0gj3CvfnOpxgC7BgBAwj34hLuDsxZjjXkDrzN43w7G+izW6zf9DY0qALNQI43sz/4wKP8Owf9MlHbb/vfSS0NMj1gESu8j7TYy6pfVMn3BE5rmgidZnLhr2QNEqr5TIWWfeqsc4Uo1DhYg0wjRlyGPOebc1zbwPMl8insIrk/CxdzXWLmpxA1YoDbJnTIznxUPXChfz+gpafZwOMlZJl5Se5jMHpFWGhJjBOs2QE3V/pw0NV53oCPUIT6AkqbJ/X/Xj9kiY18VNVKjCkU9AomWn5Hteu5r/03v/+hd/Kjf2pOr157+Rmxi+B9ycD/C6tvAzY4i9rnO/POqqnNMxNwx/1cv+Yv33Br8SZvsnftLb+k+z/ijOtTE5NgwLQ+OqwhkgpM/9y2zbbAmAyKu8RhRcMcwcYHfBrOlAC/aXZvMF7vUCdDFrc9/33pUM2bAjAy3k6IG3EZ2EyYvSazuH9RjxZJ7KxTvD9u+epszWnCBXGK5dPFDZbTRQLURCV8Ofa7faTeAElJpNJevs+gWJ1KVeKYjUah6HKFOK84/kaeLjmokXzpZQP3w8pWeqEY5VDDi9AnWZ6e+evHHIVdbL8gLT4S95xNomBY8VAMdzrukFo2Go0Po1iEwrDS8+3eOTIKX907XoaqPEy0FuIv85gpMKdFsCSVzew2963m4Q1WXyB6j9nAWShNihWYJW16uKWqTVL10Vf0deSQqJzil3ees2rcrN2uz0dCDWZTFfVUfpbGWoTnpHIqzYCdrt9Gapsa0DK4483RJXzhHvnYCnwRBlFoSEhfNGY3z/OiiocPPi7trLJqarCh0zNvCPfc+ixrpqofbmft5l1dvSNcrg+sxqNkRcaFG+MzNR1Dc/WYaibL9vdlloU+1xR6I3vrtxiwtLTM5YaYoZ20qWtbuQyACsl0uLtL57KpM5SJzTBC4hySdFA5zuSRWVBdpUkFHPQ+6TFJ3tPt3cDX0jk8ArPI1ZcfuF498jvGjUMdhBWpYTG7bMy9/1crWplVI9ipuiEwgIE0aLOSYaca8SGviWy3wYVBbKKy0AEFhliNRpvR21C6wEyK8i57RlzatuSxSdDCEkvZVLzoHJMRFbxNPD2/CYsfqojE4AcU6MvN9a50Gr4o1V+pqr+AI6QvRRri6heUocWBW3Px7lqJgKLit989sCh862qdFr1HAwd5gFGy+kysdzYh39qZ9njPckOheVp20rq8W6A4Mt0FwmGFc8/zM9zQrhrUhpdEurK6bLSjdl/YkKIlShpyljUiXk6Ckz5/7y2/tPs/4Qz/Z8yYbM9jTpJFaKUR1yoWtYc4FQAhL4Ohc+ZzaF+9/iK1LfJIYdHHwzZufRs0ElTni5HE+aOQB/Vm+Gv3EZYsUcurqIX0YXuw7f2633ViUfYbOGokGs0/vy5fma325ejQmJ3mkymn3wsRfhKUSoxq9H4GIr8IRJwB7Zq9dO68ePvXgFYfssuSFx4QY/alMCfyNXNKJ7bPRXb85X0aCBsPtBaiL4mk2ljxesqGYfAS88nIeiDUaPkH126iLZSHpqv0bQCpplMpjdu1A6GBBNe4gEUzZvwDrx462ctgvTZrszOk443IS2+XKhRIOoCJ+PO6MXswQ1TAos1PmLZX1En9xTftXa73Yc0rWcymc5WNgyB+Ag/1GZl19jt9ttRKODPTSbTKO8cTEeRCwRppdbZoqDdaWNhh2iBMAgELq0HiczXu7V7UKxYn7reez55S/V1VRG6rSaTqXtlfV1jjFWAi0H5msC3+jXcZcjRdnI5BSBOo5SBrsvpXJkN77Jy+qRXLTN63C6QGnkBKJcntRqNItgdMksiny3WFukjXFG0ye9MrdL6CIQEUuYUtgvrM25GVLOWW3NDHy4oQ3wLhA/NfVW7ZdcI6oInuVfU6vynWk0Ly80oC6u+AbxRsSxKzBTVieYwjxDNpVpgPA4lwV2lZDtWkQlosciyMViNxkEoFaU4ifR8EdCZjQeWaFxDh1yk+bpGZY7LKl4vcgVMeySiuafbtsaax1Z0Lw1w6QIAMjyB5EZcZm/s6XRd7tGTBbrczqjf6XngMcu0pC+OpDQLbTElScuEVm7iHFpgrpwuX/DOQwweUsiKDqTzFsmI5mJSFbLeq0oVYJp49Zt3OXdrAVFnBY/ekoFGlrEy/Wt/n/3rTP9D86P0K0WFWAVqwd6NN4waD1cGCxEHhJhMpqKQH35JLArSWG49UlBse+WMR+sld/DgITnoeP4PdY6FvPTcRI1bo+ERq3XFgPHj7xVC6EwmU1iFvrWoE3YdYIk0m8dXNka73X43ahf/iVnKCPxYiioSG/hbVrWZwUeDDyReCUy5d525neaT4cO593I+X006jRZNOgp9/Ck3QK76l/S0gS8WCDEM+NRkMo25wfSWmdVo1M6eOPHM4RYtavf/6ScsGzfmV3/nnTCh0fxuMpl6XnWDIaEBiku4nDIJKmR6GhXu/IC0eIfdbk8BqvpKbcrGrepJz6NO4mMlcpnVaByAWrhroMLh6/FKktntdt+m6hWTyfTaVfNAWb4sC7XoVoqK9RMLTzaZTA0xJLQDxnvw9EkOPFHPEbpH5OlyqOKMJat1tOfLh09psiKL4u3dT5Qrx8AqMndV/bhKob5Bzl+pWxWIJFT48iWJnFW0VFey7+c4kg9H+TZPDtRG4qbBSIl/iAdfaMfy7JxY8tfe31ZOWHLADxA1AlUSVUUiORd4igOhO8nX5RDgCSpxCeerHuGePSLJ0eHA7Na7ikqDXJ1f2an3jrURCrwngQaSazsHJQIuTa4VGg7ZDZeTthliUb+LHGCaxeEomz+BCESSipsI5lWDl8+BxnVMOoObYRX5QBEWaajYh9VofBS1CY1Kd8bxlejB7kFvZO5e/fzc5tnV+hCR3dNVGBagc+lwazxoPZoMYMfU/C5Zc4s7jJBd38nhzmcjgYtjd1bvd1tylffw1tLWb5UlG3fOyzU8nReJPi+FaRGRqKjNBuAepnMEaMrMV/YyY2Z7Oi46+sKoic1mx8LOImZ1ekS+JAQfAw/xQH9ouqEE6COny78M3PvXrm3/OtP/wCpQ+rlRJ7XhqNCGL4z6qc1DNlrxRNP3zu3bqKHZ2Am1gu84kM/auWcJcP+ZTwRWiNUtayLlEa3bHTDjrbdcDc6f10UOHeoJNZk0QoiqJpMpzdu3QEH62wHfS7O537XG6V2c3aukzP5A8X9eRJErlF/MVWlNX5QGYw9UqJc1ncIZ+kwdbsnP57XSEtJfmV6EYDbw+o2IDrzjLCvpsQkx0jtXp00mU6ObmmjVjuKD9XjOfDJ58h96KS2GKVO00uWS6e+885AldcLXKBWbwSgEpn9+7zJKA/MT4IeKjt9ut/vqRsvL1SG+QKGF10vkPf73WI3GB1GOMwZveD56/Pipwa1bn6MStiiBMKAcsx5oLymP2ixnhoTq2xc1PeYO0oR3f/hICX6kFcA5J85fN0avNqRGZvYNKdCKK7VKS+MuBIy7qpzHKvKPRE0NTA29U8dN1q0KhC9dsV0iu3rbcQHJ1lkthqDKflp6L98JjLgRRaFAiJgSsvJ0RA4c8hbmn9pfGB/sgGsAooAl1qqL81FgtAdRm9RsYMrt8WlLNx2+nZGLrF2RYhfqt1wVGCkpH/K8ahyCeoH6ojPFy0MAfrTOajEIFaIdhkr3pAFPWhwOq0BsAboBCcwkhu8+eIB9D0G3Nx+UE176EEjFImtX1s+2BgOFUziXnNcUjxUBl0S4K4o2BZ2oXdKAjOoZctngfeJS7dRL86eMMJalalRsPhtkKC9ErSco917UyfnWxC9blACfa7SedkjYnWMu/PDiqyG5Va4MIr7VfKA2A8imHVHANoTsjQKRFX/9gTgwMJxuwy/h/iKfYcyQ3wO5BGZ5eD5Gj0YCjJPT5V8uw/rXKre/vYD3v928lH4/oxaDEpQjfcaLKt0CNLxrX95FOeSwufOEo5MBdjQMbvf4ozWD66Y5PQuWXXw7wE0N0uIjSYvvTVr8h2J1yxBgP0IEuHW6JxqcPx8GLC8+cgQhBOlLliRbjUYfWfk6lCPdj6LxuqaZTCZpkzLvI+VIc1H1mMqRGhKMGBISMCScQOXk1qMcUjSQNHOQYfOQZ+sgNSL/hbDQjYEGA5roKnpUHi/bajTeSO7pN5QjtUuzeYSXyeky6jR9s3M9A5XfzpAajfHBw4dHB7lDYricXRBQp45Aq11uj9iYm63NfAe1ALpQYdgJQAhp8dVJix9KWvzGa5ygv/H+WyboLRAWlCNNRYHKypnF4fjU4nDEAk+h8uMjMj/44JQ7N9flA2BUsC0op/jCVY7UkBCIIeFRDAmbMSRkAxdrfZ8e7orQURinL0J9J0MBPWnx9fRpTz1077Ft6x7/7bj47qH04qoX9HrgE6vReNGLiPaZLsJZBlh64JoT/Ocz345ypHn8KbgOan0otDgc+ywORytU5OUU6jR5wmo0/mw1GqtX2qghocFrb/Q78fq0YZGpbV9h1e+BjA921PJIanjbeB9oSVp8MGnxt5AW/wZp8RkWh6PE4nA8gvrNrkHlU5ce3hBMYYYA5QS/RTnSNTdypABSklwjKmUXwP7kNuEWh6PA4nBYvG1sQOX7Ehf0aZxd/XRAN+CoRE6S06WFer8sAQGFsZ+WeNCh3nn/52yCIWE+hoSjXfN6O3vm3vWoJfte0TzzPgpkAH9E/sQ7zRZy53tvi+/GrWNoje3d/WuopUQCb4DQMienAPV+hQC7RgxNamVxONr3H3/SU6tpXmm7sN9C3m18N+MCEhMXrmvck+Ycoi1RlCBZyhgpKUIB1kJdjkE6gHSVGV7DDPE8sJKSKgF8vnEF6l1ZKmaKq/iy/7X/zP49md6ElZHXR0bWYeVKCAoSXuq9qLgs50eXHzt25Ykx1eLf6xcbOf6nDBZ9eAnhzSeu+KxFvQmBQhQK4aQSUW5hswWicp/VgLel2fys77MfFixoGdSmzaG8jRtl3vr1YkOvXoXWQYNCUCed+tJsvq5eprDZBulhTU3g0eSioS8+d6oxMBB1wigrreHPQv2lpMX/Lmy2+1AAJB8jU3dguae4OOHS00/H8OeOPh0FirFW6HeV95pjQHNfSNlut/sYoNqaTKZrn9BUGz70Y+Gqd87eN2xb3jC8gKe0zhGapOfqEvLaWnn64mbhxo0G7VmPcD/4V/J6drs9GHUK2G8ymdoJRE0U8lUDNJPI6568/HOaZRSF06a9JfPzp1gcDikQH6CAWr9LZE9vBKAPCmTUE1UK5LNC4MCZoYbkc0OrPYCfHm3ZnFQIbSYaW7hQJ8bbvZecAR6xTEvaVKSpfmFn9ZV1ge9NJtM1oxcCEYna5AQCXSTyTwIOq5DAdizek+qfz10x5P1dk8JW8R3zbx2EN0IgkaECQWFwCcENj3EkrcHZ+4+Oq3vcHbnWIzU3XaJhNRoNwGf6QPedzhItW3W3sObblVypX3oRqHW9OlV/+2LS0EHDuq5eM+2L1wtmrZ1WLm1iNRprZ8c4vw0q1LYPKBF4NPKUzqUZbXE4tgKI8IvnKYqulf5xCCkFurTWr7zzJqr0qzXlIyEXUZGQjzTpj08F2Wtsx4EHmkcfaRN3IYCIuoXkpwQ9MfzAkff8+/eeTnO8bUUyQ/RFOUUt8JpszMvAXuusFtOOF7ZZ2yTkQIAbwVeTL3t+GJmpKUmUcIlS4G5myB1AzvP3vCHnDJ+meyOD4dMy+QQIpjDqa+Zl3QsU8UJYB4IK/tRsfZVleMoLdPxLjP/X7F9negMrI68PCAhh1SqIiiIiI1/mxoaLl1dfcb36ZZruy64RDH+yNj2PFHh+eC15fZBb5RPF6pZtI1WtJwVgdlYQ5faGQh2oPNUaaTYPqdi/3W4vkm534Udff52xcuDAxs1OnuSZxYvPBjmdD1scjl8qXu+zmHWbe+SFaOyhLsTSIA2mt89RdXuu7+MsVKguEVhFWnxZ2LcCI1MPaTZv9XM6B0wmU1ur0RiDypn29V53AUVgv8FH1o9C9tWVZnPZTt5ut/sc5Nsmk6ls01DRuizd8MC++sHWyEIPe587WVory+UPeDqX2zBoz765jQcB61Mef/wpFDlAZ+81fymvZ7fbM4FAs8kchsrv1gbGSeTVhffXMC9F4Y4ws7lD2ptvUnrmTP6uXrmr5i+8MLbGxci8U7dMXxFUqr+d8nqwLhQS+3tUycpJ73h8pTYHTCZTW18fFXiBR0vkZ379N0B9l10AGrbJommnjJMH2v1Uh+tpwKp2D6PKgmZK5Iw/H0qEoogMNmORV4PVDAliT+gf81MDLo3P0qcHBLtDaVXQkfrFTXDrKHhnwq+hP952xP3+5bOftnCWPgwMFCPkx6jFO1ZKbp743Cq0pUUa18bv6xdmnAkI0TvBFSBPBRZrLBaH47rsW35tDADWDlnwBWt2Dh0gJWUiEQIRCFwJz9BGzhrS4ETMFX1j70cH9J7AB0vPzx54wBM7fU675YiTjRAerY+8IweVqlkJfF5Oo1VQF0hmzf0u7T3f6F6eU0W22hArivP1SGS6QDxpcTgS/a73acd+LiWjxEzRBvUehnhUUuQ3MUKahKBV3cCkg8P6jqTNsRKKg93ydGjx/rk9z7V16STAJGbIbs/2e9PypmUKQDVxAg+qLrY6K7/O5tjAKGAqM8T7+DRbs5AsRlBaNmP/I8T4/832rzO9gQkhklvFNaqb+dECUsJCaHm2iMN1g3l2bRpvfn6l4MNeUanjxtWsD+RJjajrI3v3iXJrIWgx0ESIPiaTaXO5tm22X1BF9Vul2Vwp6tJutx86ImXLCYDG7S5Z8NJLjujc3Pbej48Aoy0Oh6rZVMjVseer6G7vPaN+tbQIHb/NPEPW7IZU2Z9f2Gru2Vko1G3lRfI2WwMU7WIgMFiazWWcqV6nE+SvS2o1GmujhKlNANvat09LePhhA0LkoU7O5fqx2+2+BXq/yWRqV/aBISEQbyH+aYOuU68ZDUKLAjT88dJpGl8pTQe2efv5mrR4t7etMjIJ71ja8R/k9ex2ux3oOaTTkK/TgtPuBzZKZN/r3XONdloAjuK9+1OyPlpWw4NbhOpj6X6lJ7GuOFAnuEuoCMAyKujBVmgrAwj2n2uB8J3qv5LIwZXdZzUa2wCfaTSylQSiJz1ZHNikSaAQV0vEedv0Kf7skshO5RsT9VAn3W+xeOtrDQkdUCft24G6eNNEl/UX3HvDtopsfYYGKVyfPX+x5MeRWaFSyxhppSfqJN5DjJBtgYXA11Iy6AZT6j+WOAmXW/al5EJJQOB9d4zjDufPanuhNqsjLA7H9bVfvXWe/d/8jg37+5+TkrJaU4H4DYUVWCKR4w/VGTMmNeDiu6kBF6M0aGla2IoWhe0IiMvgcmS2/CAi9TV44QAAIABJREFUWXxk3HoiJSynnZwur6qNLWt35vTzTH+1FqcanCzZfrqkoEQYR26K5v6kWIJdWvDfhKrTaR4qYhQuJUVipjAYNBxMbUg1WyH5t6UQK6fLEvHirFTeeMnQ5pval6e8FB4MRLqEdH/W9rL4pUGWxlNU9cPZ58c8+sKAefx48A7dnXN+dIuZQgtspTisE3OzQGryQRPBDIHmNIVDZJugAdVqs//IFd5cv8v3CP8j9IP/rfaPdKZedZY8FKDFJaXsKIRoA3yAQrklAyOklLnXbOTm+/L0uHe4+P3JcdTIy+NieDhNj12hJH6STN705RBUXqcEaCHN5tOgyAXwinJ3hU9mC/EQ8LHJZCoTaRY222eoXN0poPG10LWv2WzfvAP35YPHBe2l2XzAu2iuQNIaBLVL6hV3yOuhC5GhusIAQc9X63OwbjCvrrxsf2FdxkT7mlZbUKLa16wXFDZbFe+8RQBPSbN5vv/ndrvdhnKatUwmU4r/Z1ajsdmBZs3WL3zkkYZRubk8n5Bw1JCVNdTicByq2I/dbs9EykDTkMOD8C6yqBA32SEaurzRkDNV9Uz7Ki3xla/SJpIWX6m6SUUGI7+xmFDOqqH3T7+gmJ2uRVH4AjD72VbPsjt6dxpQXSKvGz4vZ4q0YhgwYvvipn1DzxbTYs4pjoYdxhG8B5coJdAdnOMWrkeHHtm/+maarDjXAvEIqk76xqFNqwjOz9YXbvm2ZlFR7V7BVUaPJm3hwkOlR47c7V/OIxC3oeYmH8ULW1ShnU4UB+5g8+0H2HSXRLFu+SIEEhUK/Bm1OdvpC3lnx7hejsrQaXKiXZ7ITN3s4VOTmmo0DAaaYpHHhSAbVTsbLSU3J2BtFa3mN+XgUx2A441+p+mJHvUCHcdnNRwKiloPVI5+pMXhqBzVaxXPAm+O/uCTM5/9PqY+0FdKNgrE8xE5QXNGf9kpc+GLQ1KAZnip+nK1WZ59ods9KYHJOtDQ5rbL2HLvy4lv9NFB1O82C2gvp8vkit0JRC8kP7OjE5jsKfKT4GIpqas5yS/BTs0dgw8Z3HeejPZxIp8EHhqR5OiFKgdbLiUPAeR8JoyRWg5/kQfDL5PBGCZSW6xiR2e47ZfjiQ07NsNPlzUtpBRrmyu8VLWN67ZG+3Thj+Q/JyVvlY1rpljB6pWjqiYN4M2YDYdGcyXEJT0NdULBZ74Y8SvDF3ztu/xvJ8a/hmTbEJSiU3Ogk5TyKkKXf4L9k51pRyllut/fdgHPSintQoiHgfpSypf/pr7qjv7pJz7X6TAePcozixezNzKyZOHMmXqp0ZQjexc2mx5VglELeN8mxCSU0z9hMpmaeq+5KdkwYbMZtbA/FHQvwO9Thxzuh6pVHAy0zdPkhDpC93A66DhaNES76qQPf2uSPjM8IBIhyliK7Hb77yh+32omk+lKJf3oUc6/OvCONJufqXiN3W5/HpgDTDWZTHMq3N8F+EPj8YjX5sw5Vy8lpZ73o22AxeJwJPuUSY5OrPnIFVOV4O6jk9AVe0CFO0+khWl/rrW06ehSvSYCmCrN5nJ9VDIeBfWHSutWK8vrUQk937hT49oOvzB836raq1jaYGlzibz+CQfAkNANVbtapgcLkPRUbZnWMVTM0TzJ7jbJuxaY696DOlH7wqRngLHXC897n+05VJnFVLPJvAq12EqgseTqhbv8gwsVXoRv1+17dndk//6vZyUmUrhlS1k5zwhHkguVJw0GbpXIrd7nCgRGA8MJKOmCSxeCp4xJMAP1fa7AL0LgbwLxoHCzvM/KKgWjZ1cLEAh9SITT3eWeFG21eoXRWGSWEPhk+1ZL6ZXDvoENPSvmfFuL5+sWUHgygjCE9KHE2ya2MNbAK3XmnaONqGhN+eiLVbwOTPs1yfTsHbM2vzVAfyZjUcPVyWdrZ3Zof7AOOneZz0hDhVeXA2tJi5dWo3GQVu9Z4nZqYko1weSVhG+aOvi3cwWBnkdQuIK75HRZ9p1689CXgCBu2XGA3Z3api6OzTREZIRikUFipooIRBRrXa9tqn8mtiigMYCUHJx8YlPjTFcNPRAhJUVYhQmwfV/A8X7pNOFZVFFP+70n2N+uMdBDSv7wbmbmSOSTAhEQVLWY5l2KaTHnXK6U2kivvOFjwMBS4WkTIDU6AImUx2KvyHem/qKh6TGavDeK56y/ojQG/tck25qjUjhLUGv4P9KZ/jeheZuidqegCt9vPox0fXuR/v1LrDodDYTAOXs25wIC5OqJEwODi4s1Ty9adDBx4sSzUJYD3Y1ypOuk2RzvPTVdQQlg+2TDXkQhQY3XcaRxSLnT45G6OcUe2fdQfncUIvddoDvgCfdE2rvk9ZoQ5Aka5BTuC2882DU2MyIw8rYtW1ISJ058y6+5H7z/XqXQ4R3zfpQjXVOZI/XaCu+/d/v/0RsatgNaj0Yz5MWffqoP9BFSnEPSVSu1Z/bVG+l2CqcDiDdszQlGI0i5K3of0Iu0eL1Y3bJV1U+a3+t1pItv5Ei95hNpHFbZhxaHY53F4aiJKvfJRJXApFmNxs+89HkIhFjacOm3J8NO0u9Sv8JrOlJDQl0MCXMwJBzCkFCKQuiOQX3Pp1FOu+2WO1J/JFDPqU6lhemGgh4Wh+OKxeG4A3VK3ob6DfxsNRodVqOxw3We7XMAibzbe58WlcdNvol58dVA5kT27/8G4Anv1y8V5QzvAdKHv1X1rNZJiMYlZkvDwjAMCV9gSLiEytUuBXohpI5eP0OvTZuAKNLiY0mLv4e0+NXXcKR1gY+kFvdPI7Nae1V1PnWWaLS/JNbDOqv5SavR+DAwHwW2uV8Ixat7PROIumtr8Vz1YvjiD1Z4T+W+uuqPLQ7HRovDUQeFWk5H5fFTrUbjKqvRqCIxhgTBrg5tsJu47dO+0/JiPuSryB9jYjPDOgCcrZWZhFKSCiMtvipp8feRFv+tLwxvcTi+Gjbl6Kg+D54hVxiI0af2Wbq22Zgp9trbNG50wGYxU/ij239HbVTeYHenQQBn0+tFoRwvcrp8CngkN8iteeKek43f6XbuPSBJCFovaHxn8LCq7+pqBpz0sZnFAvQNZR2TuIQe+A1Jg3m+3/+H3jFKi8PxvECEeZBLKdayb10USxsMjjhW/ZVSFDr9daBDgNTkWl21s9pnDUXb+6Bo7pglVgzfxtxzmeQURqMU4ChErVN/q0kpf0O9j/5/OyKlPPZ39/W/bf/Uk+kZVIhFAkuklEuFEFuBuVLKtUKIp4GZUsobvqw37Mtmuwspvw+RUnyu0bDg3XfT7JMmhaPVBj25ZEnOLYcORaJ2Vd+OeffdSGdAQG9gtzSbb/G1Ybfb1wP9pkr5+DZVEuCiEmQvAIaEDlnBYuLtMxo8eKBukObbeedo2COKrNZhdHnkyEGNOmEtJi2+XKhV2Gx2oGfv335zPvzFF3r8OE9rLloUjQrL/WoymXpVuM/HyHTNvK3fcxQAJSaTKdp7bxXUiTZc7/Q8XWpJSkWFrjsDVbK0GRwI28HFwLPoPDoiXdG7A0YPfFDTs40DsJtMJrPXme9F1Yiul2bzPZX3ftVYBH+hbtVqND5JBXq+0fuTItx6Rr194O28DtkdwvGSa2BICEWdeoegyNT90Z+pwB8oANZ3vgVXIKrUy693efme5QEXgi5sGNF5xFVlS1ajsRXKUbb2/mk3Kt9XGUVhwcWgi3pLZ4seWCuRN4eAtQofUcd7WOQTdrv9AhBnMpn0VqNxcn6U562wbI1eowvkloyusn5JU6FRe+rygKgFk/qjNm5PY5HX1Xr1gqMuoKIAYyWyjJe29GPNgZP7qrTe/0s1iTrBX/788nObNmaOGQWslBLLjdoVkhpbf4IuGUzFIucACIGPmrGllJTxDVuNxgnAbCAywBMoW+XfkteouEWoFq06YmvcrhxXUPLD/dIa/fLeG2RHFS2TyLE3Ma+jgBXjPlyUvXVX66jnaj9epNO4gp0aj2tZh0uaP+rmaKSGJUwnH3gG2CuRHbxj3fL7K7d2a1X7UH7k2JyyNUnMFLei2MMCgc8Sv2yxXEo+koj6JZ4Q9KL45wHjj22MMpS+NbIrvyfWpwdFnGAe9QA9S3ZncKlDDNBdSrb6s325Agtqntac4XDIHoq1hUQ749z1ixp92bS49UTS4rOEIBLhzmRTHw29fmX4RnJWZhM5cfkrLNo0AxgzRcpP37zhvPwHVpHL1+/vNv49mf6vW3cpZXvUKWmiN3TwsPf/e1ALZun1GrgZEzZbO2A9Qsi+Gs3kCODUU0+Fo9MFIcTcd1etikIRBuTYu3S53xkQ0LtWSkr+xI8/rsjMszZVSvYqRyqB3mWO1JBQHUPCTAwJ+zAklHgEuyePrfnQ3gbBmldWp+b335v3cW6j4J+ckTp+X9NqMmnxL1XiSK2oUotjP/fsGQhMQoVSHgCyUx5/fJqUshil4uJ/33KUIz2FCgPfyI4DVex2e7Cw2QLDC90nkDJ8wbKLeaWWpLdRjuIu1K58TxV3zCvmnL5VgcdcGld2RkBqx0urlhx05+W5pcfjcyjrUY50L+r0eFPmPfFf4ibrVi0Ox3wUknQmyglPnDW4wageX0cWtclotQygycLzv2FIuIKau4WoOQUV8ZiEOrnEkRY/iLT4dRUARH8khyYHlIpSWau4Vjk2dr8xHLI4HG1Q+baTQEfgmNVotFmNxpr+16YEpaRFl0br9W79ZVQ5082aT7EkB0BT7N4P6PI6fHj4/pyx8x49/rjelN2XiKJQdkTaxNexn3p+ivo6cVv4zwGkxTcnLf4ZL7LYJ5l1M5yqX6Ic6Xf+jhQgIEgGtuia6UERNWwGqo2Ie3PUM7Uf91TTnxl6g9Ppl0AN0xWOdsm4aiy+0+knABgSDBgSpllSJzwyPHVcoDm7H6HucLEn4o+IDdFfaE+2WJ8nX54O7z5ZLypj/OKvl79C9trBIG4arRoD0LfdD18eLujOg0f3HgTm6D0a9/hdNTVv/tCQNq6wcXh4BkkBf/52AB6KCM7l8PmW5bib5XT5B2pDkA6MGjE0ac7IYUlNP7k07StHQWd0GnfvHz9u8OaWA9F8VU30AAoIph1eytK6fcfEDA48zvcR637BkOBEgdtGANV0TU66m9xzyPlK6sKklVee5lxAhnZPxJYHrFUXH7QajXdLSQ7Lx1yi96/wY7vSlqeJBOja/MDbas/z6U2F4P+1P+0feTL1N68KTL6U8i2/vzUBPpeyAkLxr7Rrs9VGOY8gYOSdYPWAZ5P6uJxIt7DZXkbKVxudOSNfnj9f6NxuJ4rF5RmLw+HubLO1SAVHChBS4B6dPeZIEIoxqSMK8OOzjLterKv5sV14FY1Hbnb3uq0PgN1u98l2LTWZTOMqjLPSUhRvDuUlYCoQHDVqlAzp1Ek4L10K6jNiRImw2V4HpqFe5DrXCjf727avNi0pjQ14rOmc5JQpXSJqfGaqIt5bdpFJP2R6+FOZ5APS4q8CHnnH8ywwPXLIkNCQbt2YsW/fod86d26FOjU3uFHdbEXzYzC6Yd2qv8UlB1bv+mvMhf7LojUhWZLokPoEv/UcDZdfpNb6DCeqPna991kq5dr1N4GYjwoT7rDZbbWphKKwMrMajf1QoLlaqE3WBmD0CEdSxO1Xbj/90tGXNEfCj0wZ3378zZ8Qluue5Er1d1kz5AjJDeJyGwZH75vbiObvnCO58CAb+hym1ZGas1tu1szcG7FlDjARBbgpAGZYHA71HlnLGJH6Y5EbrvPsPt3SKyjwVvkFxSpULt4iA7zP3ABI9EhNFw8akoua5zQKOdTb4nDsqdDuKFRq4YrTymc69dsZjEUqhLkhQd8vp19Ke12aYVrI7rwg4fF3ypnATg/uz78wfNhOCjkJCIiuVsS+GPnei6uS43Hr3ERl6SkMU+LjNzKrmAm8AowRI+QMFMF908QWxjPAAreQj2ql0B1rV8h39dJy9+kL6snpsiw/n/aBwfPjwTvEqMWJ/aWk3HyKmSIQ/MTG8w2teSv1XNPg3frZHYc7izICgzKqOSmM4Men/hi3OYDAgRLZFggRCHI8AQjhyYgQrp9R4LtNLJiUC5SIEbIxyIzg4POiX9+O3HM0Fp0UpNQruTJv6bm49IO9od/6rJWLdAXDI6h19wUKfphakoknoDZglJKkG87NX7T/1pPpP86ZCiFCAY2UMs/7/02o8N1eKWWqEEKDAg/YpJQf/0d9KBL5s6jd+VRpNs/xhVGHAyvNZuF37RjU7rgwpKCg0YdTpsSjwjyBQHFWeMS7z09/fXJxkCb0nQynnDzhuPDrqhBV/7UGWCZWt1yOYt05jAoD+8gOtKgw3FGTydTcr++JQAIK2XxVKQqoGkhgXkjXrk9UGTVKm/b228WfNW++cd1ddw1EiAKgoTSbrwIlAXjDnY+gwp1ti6N0YTs+as43B3JZ0DqcO/flZfzwxtmHgPV/QZlERI0cucPRtestU91uGpw9y5NLlsyKys9/+UYUhRXNbrePQc39detWvc9iACZI5L3nama1q5sSLTx4OBWUJA+G7RJRr03FdfGSzFjywViLw3HTvxuB6IVCteYBcTa7bSVwL9DRZDJdRfxfmVmNxhGoXGKsRHq+mZBW/NsYT8jqPV9DJXq0lTxbNxS4pBdaV23cPjpiit06kv5IbNl+V9SOoufavxAMzJUognRv34GonO9oVG42C3jOMi3pVlReuCsWWanouUDURuWMBdciufBTWvH/8yfN27XZlXvH3i6RP2i0uBDiz5D3Ve1amQI8yrcDnuTXPrdQQbTgvDvMU1ubvwdFNPJhxdIvq9EY2KJb2rnkw5FVC3MDONKhgLTqzg+WzEvpjE98XPLrdefYb3MhRkhQm61tUtINQF+kOWBaF9V6yLsGwvN0HIstkKUaz9TZv56bC+D+XOv+2Paw5rFlH56RkgaVzqe/2Pjifau50uZBi7Wzs/HBAH2H7yBPZhHuiqRVwS3UKWmYKxC7Jzc/UH/xloT67hZfeRg8srmcLo97x1sMZGCRNYVAbTrvmpwX0XZR+JjD1YraXQgP1ngEe0q65X16cnb4V1OG7ezd8tdO7c7CfsddThK/14PYIaWqXf477V9n+v8TE0I04E8aOB1glVLOEkI8gdplg3qppsr/4OG8JPJnUOjAxdJsftwbRn2gGeQthnAhRFeTybRd2Gx3oMA9bqCtNJsdAHlxs1oeDtmbeD7oXOu3HrOwq1075u26QqcOcXR9OOl4QIFnPX6F+t5+fS9rpfy5drs9FYg0mUyB3usHoGjVnCgg03XrKX/+5ptuuujoLQc3b5Yvdu4sApxOHklMfHnemjWvl12kGHruRS2i3fDTVEQ5i71PrDT2fE8nBDco6bmedbHZXj4Ar0aVlMiZ06a5w4qKdChw1TSLw5Fws+1UZDAq96EiUx+FigB0QoV4cWk8/NrjOJeq5maMXt1pMvCFterisJjJk1P0NWqEXn7hBVBI14kWh+NrrmPlUJvQTSK32+32B1GbuasYjG5kVqMxPr2a853Yy3p9foRbNp4+X4qgoCtms7lGhWeri6JM7I8qDfGdgj1Uu5TH7T9F4tTFk7DtfYCvtn1VmBWQFfxoh0cPeE80lfUdjtqYDAQ0ETElxbfefyEoqmpJQyzydCXPLlARhVpcj+TCKrIAgUVeRbgvBC8b9BdefbLWE3n1go+GA0ikffzvx5rkR3uqm/5oNM028Ilo6p55lPzwCDLKNLfLRAvqZYwaeFZG1gSaSslVuWe/cRx6pZlouf1oFA+8HUdgsYYST1DmzDOfRZ8taXFMSioNzfvd/wl+mwshOItKMTRGirGo8pT9icYWvQ7G5e9skBXUKKxUR16AKyO8VPegZVrS+m93DygY+O7aUOBOKfmpsm6Gj2i/9PbzzR7tfb4pYSWxGJzq9fJoXM4zAScz94dujynRFulQYLG5wMwR6dZ0MppFM6mJi6hzA+R0uRGrcALnsMiGQmAAroDMYobmHE/RNjpfx9MTa6fWOxZctUQGU1K1hnxk9AZxW5pnytYS5vLuaUFOPUBcf17/ol1Dsi0TlVYxoLiY90sp7/y7+vzfsn+cM/2ftApgmA3SbO7vH0b9Fp6JEuJz4H2zlEu812qN54ruP/zMqaYoirFWQLAExj9ajaV3xDLi67UMvHSB2Ph4CrZvt/Z9/vkRFfr1qY7koEK1V9Xf2e32H4A7gaZmKaOowFJ0M8/3hc3mGi+ltrC0lDfeeENWT08XWqnL7Jh7656GJc0b4VeIj3LSR1Ghx0WkxZ8XNtvrAqa1B65AyPmbCA1XNGGz9QI2G0DMh1QmTmyAQpAO50+KwnLsMNczH4ORafChMBQBxlhUjWZ1KCNTLwIOfnP3gWOWDz4dXRzizASq+au32O32FcCo1Hnz9jiTk31IW0XP53BUemoRiIOo7/s1iXzF2045tqibnRdvexY8JHZfH5E/YWpNbZVRo4ODW7cm9dlpbw9JeyhZg2Yo6iRVGSBqObCeBZM+Ri36nbHInQJx6yOnH/l9xPkRbIve1vzFVi9et/THajTGASs0Ws8dHrdACM5JKR6qWM4jEFZUTv57ibwmXSFWUQAUYJFVr3reP4kKAhc16TE8Spv9nhSeGu4ADY2crWTHK7cIPXrQOaH5ETjeeB0lwYuBH8uAX4J7UHzVW6XkmgC6Vb+LtBG3EusRnFncvUnniGzdp6j8vtiecxe57qinll96ef617scqvkK93w2xyNNCoJSAOm8/yPaurVC/sWoSmQfQaFLw5A4XIxbcebIKgS4NDVrnENvUc6TJzEvNgdNSeuugDQnVURujAag6ywCAUq2br/ofYFvLS7wVtI2AiJxqWOQVq9GoRwHDHkNtovIO5Hf7eN65JU/QYSncM0ECU2Rj5gFJWHzlJ6wH+vFbj930+KMjx4GVFD+0u9pz1Q/eNc8YtjNYH+jGVSo2zet+IWF/rnkNq9bpiTmeKtObxl1zXv61MvvXmfqZsNk2oKD1+4AOKCmvBBQgpZ5NiFygNMMjj40ucdcv1WkCvp+VXHD74QJ/MoQcYGfbeQ1rHKgfbAR2JU6ceKc2JuaLuJkz++Rt2EDexo0XUcwn3/lJuZUATaXZXGmOzm63TwAWHZdy4WPqRbqKpegGz1Y3Ds7kgnj104tr4jekNDsacrDFieDDGqemlNrFDWhe2O5KrKvq9yiO3u0V7n8MWFIFXFbQBQtxp8lkqnR3fZ0xGFFlONpFcLmFkqfTmUwmaTUaq6ByZP1QTjAFmGBxOL67ZoOGhEb7Z9a35TQPrdntwSSXvsjjL7d2EhU1+IC0+KNe9ZYLqGhGa4l0+Ddlt9v7oUJ3n6Q8/vjrqDygj5M2CVW7WBa2FYi3UOH8PRLZsUJbV7FF3XBuVGjzFKAJzQtoltlgdsu9I/m05L4OEVdmzCAiBdrkdyLOWTNfg2YvCpyznLT48gw8fou+sHAFuNwxo2PYW4ffgpvVgAXyF+n3nNgb3f7ItrLTYBnblkAMR1Ho3ZjkwipKuJbSiiFBPJF/6xc6IYdMDDpYUk+XE5ilTedA2A4uB1wgwBNEbGnVnd2nbnLqQ9zdAR2Wq/sSgnOoSFJjKbkqQiMQLaJLcEQ4ITmMGhJ5CcBqNNbNdsZ8E6QtbBcgStAIzzFULfLVYW2r+AlVLxyGRbEeieDC8/xmqkWHPaCRZoksTxc6U3SKLNLa7zsWG3TXqSp4PIKDubcW7U6dFLw0ZO+BBtq8+pTHTKQDWy9WzVlZ6+BLH0sNwVOetzC3rZWJX08Jev//Y++946Msuv7/92xLT0hgaQFCb0voICJwLSDVhiCoi4gVEYKiIqAgRUARRUUD2AtlVYoFRQUEdwEFAemL9IROWNJIT3Z3fn/MbkgFvJ/7+f7u8px/eJG9rrlmZq+dM3PO+Xw+q14rpiv0w7s+QG1o9Ml5zb0fXZiuT3rijkKiT5t8jUEIdmCTN/nnyEynP1LY2l1gKnIzm3fx8jLg41yHse+ktlncqmgjF06EAfjyDN6fRyet7e/JaqhjdOs91DzYSU7/G2Qm/4X271rN+0834XC8j3Kkp4FOKEzeu6iq4HZy6MEW2j0HPgw6nut7tcDXrMCgM6157RS3HswxoE6o04DquBOqiJWtzvgdaRJws83lSr938+a+QEFIp05FqHzPmjl9+57Veb1foBb/bpU5Ur/Z86VkpnLwQSiWous7UnNi0MkW7yc0ulhwPNUnxSxg7M7se4JlSKu2OTel90+9Z1OEJ+romaCTrI9ZXcNeffHN9uqLfWXmJlAoUzQaxoQoHrf7bnRu/W3UQlH8GYDHWgqxEfX+9QawuVzpNpfrDtSi6ERVf66xWyzH7RZLd/9YojAnTsCc+DvmxBzgWL3V7lh0grT24XkoKFA/lMpKc9wJ43EnBE5iv6N2/ZPKOlK//YgqAupmc7lO2lyurqgIxX4U+88uu8Wy026xNPWzBz2H2mRpFbS1HwhxOp2xFXxWfm4QotHJajtGfNXJmNx2Znp2w/lHTJi+ab0pIhIgrvmAgkxDmvw1+ge+rP5+kb364mW4ExaWc6TKAqfWFFR1Z/j5kPOL/X/rfyP9AQiv4jG063VJomA8+1Cnpp2fdGixL9KtX0rgnb0+W5QedWpTZk7siDnxI8yJSYBnQfjWofPDfsOjI+ij4dvkqA/W+Fa8mHML8HShLv/K+eDTnde816jryX1R2Oe0rGy9esr/b7lct0Dogc3ZBrD/Rl7AkQLYXK5TY45ubv/CidVH16XZkJJmwDa7xbLHbrG0LDsl6qYS9IGHWhbQaRdMm3mmrCMFkNPlDj1BDUXVmCt3dqhKfVmfNuHbQh5v+ACZkRva5Is8Awqz/AwQiTvBjDvhrljX1OelnhAKSLRG7vNl54exKNN3TswUxdXANpcrz+ZyjUCFRtfUCz6qm93wfmas6aJrfjkoUwjYnkdzP40gSGHipwGGVv2QAAAgAElEQVRwqToM+GG+nCpnoUL6ktg/FzdvebSw1cAcvnM/9hlwJcSjH/hB7FC0Kl+jW5vYDjglZoqqlcz//xn/xSfTYiUYqMcjj2TywANVECIdFepsIXzy9yCP1G2dejKpQ1J+XcDoE3Dn/MasrRvMo1szjn204OxQ3Amlqkj9smHTUSD5OGm1Fv/4nE7nAaBVyssvx5/1eOzzxo6Nzw4L4+kPPjhlOX78LpvLVWlFqnA4jO2gYC8IWQlLERDIe/ZGhTu7e3TUvn98XVbdHMW7K1O88cNq6mN2ZP4RP+90v5JUfX4M5FKuwmd2A8OHL1wYBvyBOi1aHUJsxX/y0zStKTdgwuEIQxV0VQWmS6v1ZafTGQjPlaJZLNGfpkiWAx1BUK+gobd9dld9qK84wpkJ7LpSP+jnPa83eR0hnJqmWSt8PuJ91GneKZEVXgPgdDovAFU1TTOV/LvdYumGyic2lkh+GpHm+3qsW+RF+HpI5NYK2qmULarYzIk1UDy3g9wx2W3MaeEBRyFRqkCbvAY+3Ppl/FbgxLkxY9qjnMVg1CYkBZXXLb2hsis9TmHjZdQG76BExvsxwoWapkVzI2YXx4AG2KQhMAcS+YkUNCkI8ZFSt/B4/SMhvSql7wvYxyE+dnS+xNdDL1IijIlfVQnY1P/KALHu8ymPMGwF6GSCRC70P1MAU8OiCmfmZJoCkodvAS+WLVYTgjOo/G0DKUku/jviZ6Df3D0UTfqLLGyynEMQgs7AH/WC/jr5aqN7ilAEMKDC5w/YXK5T2MU+IB6botcTKEYlVt5TxLCVRqC+lKjNsJ/tC7Wxa4hf3MATnIsr6IJ3uzeFsJD9egCdkL/4n5FSql04IJGtvct0h9JzYlqYX3LA6Dap6H0d5HRZbtNtt1hif00fcqxL5M8hwfocGsZncLGDm8G5RecJpS3P8yeSuvT8VeK0XpaS6gBiprAA24/UMYYH5dSi/tPJ7uUtW9XAX3kPhJ0vqM/ORqdZ1eVgru8HZrGb0fyfukw5+690psVKMBBK374weTIUFvL2M+tW3OVrWr/3jIadL0fq2TwtiTan8sGfl6q3qGnrM2ZT41GATYiZmqbNKNVuCdkwoLG0WkvxwTqdzneBhGNSPvE4vImUYQmffHL+5t27AwUmf6B+WMfLtCtQFb4tE4B7hIjRNO0qLZ45sSnqxNqfEsokXvAOfr6eZ03nyKDqGZ5fVkQb+6NyoUc1Tauw4MJusXRF5d+aZIeEMOmll3wZkZE6hLhfWq1f+sdRodOpcK5VQZdamOFjabU+5m9D7+9LMc2ifyydURjCXkC9XF22OBj2JyeC/wIE0Z6qZ6OLqg29KWlVcSiuLJlEqecjAuHbDBQHbVHZa0q0o/JK0ErTtHKnV7vFctux1rnfNNkfaiwy+jAW6X5AhT7Ty7RTC1VItlnTNM0/riAUBvB+VOQjCsAnJJu6HWVP/NnChI+6PxxSaPqqJMNQ2bkOSJIBfVEbnFMoikIlomAXe5NCad1QUTzko8KwmU6ncw/qpB2uaVql5OxXByvOANWxyYBAOQKxtNZJ0wNjJ8bmN/grJBjl+H8ERhbT95kTQ1CiBcOADui8kSUoCQOiBZ+jKAlV3tOnW4ZODmf2FMlLs0OkLK0Z6lsqkpJdkfW2f1/Hg3LGOcBMm8tVDBkSgiGoqninlFj9/Q1Uu5/22KmuhwxsskL9VSEIqOfctLylJQZFbVfPP8Z1Q5493DQoxBeHTRoEoivK0ebT9PCTwccaffZ48MGT74RvTUXl0EvLG9ZLSmLk593nitRDL6TRkvR6BXXfWxf0aK2Z3iah+/X+676ZsuLE+8mWgp9RJ/naEpmJXZy8khcRF/XYFR1Dh4JlVSFwq5wut1Qwhl7h+vSN4xs9l9cqeFuI1yfY0CCdbydc9mb08OiBdQgpUO/Og1KyFEDMFNEXGuD2ZVfXx45NgeC0UTIv5kO7xSJ2XLl1ZS1T8pC6wccp0Pv4vullvvnrMiUAM/+nLuO3/1ZnmgzEjXzoaZY8eBc6n2TnxBM0v1hIn6n12dEklHc+On9i9Mb0t/DnpYTDsQa4wwgH10ErnRDbNE3rWtymw9EftbCUquwtaU6ns7NHyj8egoKzKlT7irRap9gtlp4oJ9zAf+lGlIzYBX/bvwC9m8OZ94Soa8womtj1scOgKBPjKa+p6AQ+0X1leU7qRH9gp7RaO/v7cBGIDlQFV2Zzb711yKKHH155vkYN8dzixbQ5fPhH/JynTqfze1QlaWtN08phSkvNtcOxA+U81kmrtVSY0el0XsQnY7RhB1/3t9ec8ieXDcAH9uqLo1Bk74E5+sXfnwslHIViMAo8G1EVlXs1Au3LiXOXMafT+TgqDzVP07RJ5caCmAtMarcxPHnCU/XCURWJPlTO+zGbq1iQG6fDkaPL9/m6jzj0PSoUXLIiNw/Yn1wndYNl65xJuWFFesBSEZ1hZXNtt1jqo/K6gaKbw8DIu186tKxHH5rsUuevPhL5i7+dQI73UU3Trg/9sYtLQBg2GeYf+1BUnjYVqLHc0vJeFJzHLKSQ9fObnumU1cNkwFBC7s2XS58NoURlHGXVvR1xJ2RVMKeq3bOxedQ7HYLUvS9lMSFDoC8XgCj7nJbRKPz2SErCeFyujwGE4BxqnusjRRBqyfcBDaSdJOAsNlkxLEXQBeXoD0pJvH+O7wXeAaobg7y07HrZ94bZWHPJ1JST7ffVDf/iiYd2Nk42Ny6UumiT8CElCFGBvKFdjEbBjyaLY+iBOXy/GP4cxfg64+d2itw4CohJrVHE6jFu9vTI6p9Z3bMuMHYpqaJ7QOowXdExOVqPzgcwWk4vX0EtBMeb1jzcaM+MeLZ9VzvtwumwmKIgyfqhaRw6nf3M/sU5K1GRj0tSUvxdyeXicrZXXyVyZKGe0MuSiTUaBgj89cJz9uaoH2Mfqz0Fk/DhCdGTHRfH2K9/CNz+f+oy/Pc6Ux8gqqzfQKZBz9y3VtBjh4575/XldN1IEOJtabUWwxqEw7EQdfI7AzRwKGFwn6ZpUf7P26FA1zrgVmm1VkhkLhwO0Rt8G9V/l0mrtRRXrt1iGYRaLGqhdqtrHpk/P6cgONhWO60o5fD0pEO7E5v1jPviIvVXuwO3Zfqf/SUlNBWFw/ERCiOahIKwBKTLfkQxR7XQNK3Cyk4/8X0SENvqr79+fiExsQMqN+MDVtacN2+zPjx8IfCGpmnPVzrPDkeAVGE/aoMh/SeXh4B7T9pq3HJmcHXDzY8cwnTFC1dJxpcA31SEXbVbLINRTFI1/XP0Xc3588/pQ0LGAg9pmhbgNEUgDqNCdpMl8rXK+hkwp9MZgYLo7NY0rRR3rkB0R21S8lAn3By7xZIAzEEVkXhCPeErbk+7z23A2P/oqNrNUrRobnnQhc5bYUGU8M9xHDBOIiuEBDmdzoBiTIVzbbdYLCin2hbgdL80+cpUt8iK8S6QyPEl2olHfQ/fa5p2faYpu8gAJDYZLRC1UBsbPRAvze+CP4x50Xim0YGwXTq36SKh3nAa5bVIb5Hb5jMDxkQWjANVVPU1NlmOK7tUu5djWmNO3eV/RpiUXI0g2EUaoMcmo/xjjqB0yPsikDD8kMsAfIm+6Fc8plaod/Z+ifwSu/ACh7FJS2VDFoJDqFB0RykpLjazWyyjo2O8i9LT9MKgD6Z5QXtapcXjp2HMP+6NPD82W2u4y2N2pvpCrRXM5WQUxeET2OQHYqa4k4x6X/PuUT1Vj6bKlPhqXX6KPD1wSdW6jfeHgorYKNKXKYcuAUYxXC4DnqSe8ysesQ5GbRAT5XQ5rswY+rar/+e63XM6ciScBT3aGscOXmQ23PJ9FPkGH6er5Ce9tXX32WxfTHdguJTY/X28AhSJZ/fmktKmDoNGeGi7rJ+cLjfdYTr5dJjwvD04aA+tqvzCkdC9FOmKGO/xceHYAfhfUJf5d7T/VmeaDMTNfvktCrq3pcVLL/FRv35s6taNmikpjgv33tuz+FqHI/BDyEAxBWU5nc6dKPaiKlYpI7nKlPSgtFqXln9icVtbgG42YJQQupLSYSXNbrE8pPcZFuxo0yLyrVGjuOVgCr+8cokgr54d7zRFV+jzdJxwfA4Kq1qRCsxLKCKLivK2gV3yXE3TXqjgXoEqOIkHvpNW6yB/n8aicsyR6PWe2m+/bUCIvdaePduVbcPfzrtAAlKevfzwXwlVc3wjUJSFxWX2aa3DCw5MaxBk3pKxseWCM3dXdHKpzPyk6a8DMboqVby1XnlFLz2e7629e98JIBCBDdBWiex+o+06nc4MVIVxcXJWIMJQOcow4GrVpjkxyofv8aMhB586HuKqe8WQQZQnmvjsTuh6dcw+8Vid8OqbM95o8c6ZiWU3BgKxBIWD3SCRfa/Rn4AG7B5N09pXdp3dYul6vn7BmpqnTVV9JokhX1dOksyvAXtZ07TalbVztUGRC1wRNmpFZQQnd95dv96b0+8+1epw7RqUCWP68Dk3VVmTf8l0wYaikiwA3h428dC3BiPbgM+wyYfLjD+AVW4APC2R7wjB66hc3UIpSSjRl2wgD5ssiXsOwHg+52rIO/mFEysjTz/7TQyvTAX4SiLv87chgV3YZCcqMSHohiKp3yerJQ5CbRhuA5pKpPGi6Sw7q/xGNukEe0N8wb6QJRnGtMdsLpdXCC4C1YG6UlKK7hO7CMDrihmcxExhYfXS/bju1fFtk7PccaoOPlzL41t+65+DICC/+z2nRWyT7Gz9CBmLghF5mBzemuCcXahUwa9Abzn96kI+9KYVl1c8fW/V+v1MmaerFkYB48b3qaMP9ureik8JF/k6WHl+IhvTh10s9IXU8vcxD8gQw2XnYIpOd4twMbDzLB491KUosijECJDuC8LV+ihf3L+Nmy+nMGLKF6ig0/+dTOG/15nagA81TQudOXMmz168yO4aNbht/Xps330HcAAYMXzhwlaoXX8+0FRarWcAnE7nq8DkS1I+M0wVeUQDU6TVWinsQDgcXwHDmsOVxRAphLBqmna1AtCcWBe1+N8ONNvWNMTYa1p96l64yOQFbxCRjy/EF/ZV+Puz2wghWgImTdPK5f9KMjJRcd42cPrapWlauYVFOBzrUItTcWg4YP6CkBeBKdXGjw/RhYVxac6cecDkkgUhHT7+8fW9DUImtDhb4Nsx+YQMLZKBpFkRauOxFljsXBWf6u/Ln5qmlYKX3KjZLZYJwPQaM2eGF6WkkLZo0TuP/PHXzwXh8kfUqb2GRBZcp5liczqdW1Gh0+qaprkBBOJPoL2xQP96YZ23/0Q5wS74+VoBfPgyD4buyvwrdF+sV+fR66Kj82rNmRNCBQxGAhHI76X6+3fNilin05mO+r4r16NFdAR23LzPJGa+VMPnPhGho4wkmdPpPIbigtVXtpEDlEbr0/Pz2d2x6FRSvL6GO8IUXFDMjpiOioTYATvuhOJ30M+29RqKx9ikN/gKegw9E1Sjfs4C3QNXT8n+/gZIEDZK5K0AQqBH5UMFEF58OlVsPpexyToVddcf8l4OdJXApiEZrOlaveBy/70hEimxiwCDmBNbJQVofravpflN5zbTZ4R0MlwKiI8DpFy+e021AeP36/9slpK/uHvT9yMyDU+iUhK5wCsjDu057cO0BFgvJaUJB+zFBXBWbFerfkXs9t4Yqv+CqzUE50j2ESs7yAtlsaQxtfJk2oWQ8cMPuVqhiOxfYYaYi4LwNUJFONrJ6TIT4OfJ/ZaeuXv9A6NuAuAXiewDIGaKqq0vhB0beLRqdHxKOKlFNTlf0GDzrcbTA3s/djiT/a0L2dA/r1DqYkzCR6Hwsa3WCfL0nrMHjty/9oXuV57w/nwbtyXB+2trUWfcOaB1Lhz8v5wp/2LOtBLR77YoWEYw6gcxRkq545/wLJvBYHhl3IYNcW8B5OSkfPLii7cFeTyfA5aL1aox5YUXKDCZvFKn6ySt1j2Be51OZ3OflH89AfnHVL/el1br6Eqf5XAE8lUXv4Fx0UKs1BV4P+k+/NBuVKFGO7hK+L2jUUiG9nKDKlLgMRQWxX8w8Vkb8DwQHNq9uzf6/vv10uO5x9q79+oyz6mQkamsOZ3OTECnaVpEmfs/RgkGlAoNlzW7xaKv9uyzp0wNG8ZeeO45ZH5hXpM8y5YO2bfEbGsa1nrAlPqm+u4iHNNOyphc3znU7vlD3AnliiYqOgn+XbNbLKL6tGmpuvDw6IsTJ3K+fgFfPnNJ7r8lq1NhiLwhSr8S/Qmc6p/TNO3N29a3+qSGO+LhR+xdirrtaGTgKhFEAQp7+R0lIgR+er5FwMgaM2boPenpMnXBgseL83qIGqgqyArxrpX0aTN+EfUK9WgRQagiucg9aylom0mGfU7L8ah8X3F4vtbbbxfpTKYHgAGapv1cqhFzYnfUQt0TBUsSAPtbnOPPNmc893/dYVZwoXEx7gQ31zH/HCzU6X0P+7w6XXCYJz8/x/C0zeX6wN/fANd0OfIMIZgPPAu8IyVPqwaFB0jGJq+pDvTQyzUH6n1irfZNNLLIhE/q9wXp8u+zTTmUjgoFr8Umb/ePt0K2Lylhm6cmJ7yR2SOCjz4PfC7c4+iYSu7BKMg30E8i1/sdXiLq92IAMt84lajbk9MzHIiVkqubWLv4EiUVaMEmi0t3BCKEI02zqX1ex+dhkJpSSmzcbrGEdBpwPufAZrPIzzHikyL15eQlVY7ltS8EwpghQP3e+6I2pTfJ6fLw+3+INeM7cId+e2dyRtgtMqnR1WcqqMxW60FLl2G7GxMVfIxwTyStczoTV9AYgShI95mODc/q02qrp/rlrOnheiCaGuxhaEw7ztbhyLbDXrNep48ZlQu4T0pZvdH13om/a5WIiL+OgiwWoqIaD0spM/7Zz/5H7V/RmZYV/V4PvCWl/EkIMRCYKGXl8Ia/9Tw/o48fSBcaIHt/eNSokd/cdttnXoOBafPnE5uSUlzs4r9P3AbetWrB+VFarZUywAiH4ylgAVJm7Zx0/In2pwqG/vZ5y7ur/55Js8XF0aBs1C5zVav5jXe56gVvRrXdS1qtTije9b+tr1ZtdM2XXzZkfvedJ3vduuf9aigIhyMePyMT0Fdarb9U1ien0/k7ipCgmqZpqf77Z1AJpKecmRONrqfrfnG5e5UhUfM3eZKP/mzI1WfjiWzB+BdH4dXp5Tsfn58+ckvm3JInl0r6Uu4k+I9YgMFoadJzWS2/zIyoecYEamM2LTBHN2Inxq/scnaQeVsNR0Z2w/eTg00eQ0BE2ScQgYKo93An7LlWO3aLJcI8adJ5fdWq4RcnTgS46NHLhJH7/3odFdp8VnJtabMSY3sRlZt9XtO0N8p+LhCBOVwk7TwOXMAm4/z9KJYkM9Ss6a0xbZpeejyfW+/7awYlwphcpST0Akn5I5Y0vumpw3J//SzJDTr9spb7vmHymcORr+7ZWEP6vDoBpJxpnD918ncnF1LJZqLE6RRU7tSLXfiAg9hkayoxf9j4AlCj1fgR39y8ot7dWpVvEUJiCvHsunPM8Y6mi3V/5q0Jp1HkCyXZvgpRBVzfA++LywkbUeLjraXkgED8Dtz8yh4yXmgnS0GL/JqpH6P4q3V7s7qzOeOuvduvDLia/rCLABlMNWyymDc40C7Dl4GjaRqjOsdQVmzcLnxFBeLwyjdaHEM5ErHjyq3sz7rli00Zw2wAAbFxwEN9HqpyP0uCvegMHf7g7F+df5OSbhVRUEokBwwXORLpoMiQQUSUR2ZlGmYBM4Yfcv0KaIS4H+CF6tN5kCbUNEDrg+x56F5P27h9OWK4TEO9y/90QvxKRMT7ApuklB4hxGsAUspyhYL/f9m/Q9JYcpUlJApVrfo/NuFwPA5MqQbeVwGHELX8f6/xmc22KDMqinb79y+KTUm5ANwKnLNbLN/YLZYo4Pu1IAYBk64hG3bn62vGG4t8C2JTi3A/ejisY1KBXefj7shjuaS1i5DAPKAB7oQI3Ak9xMpW37nqBW9EOcThAUcKYHO5vDaXaxxGY6SvoECa6tUzAG/ZLZbLMwYOfBoFqzEAD1/LkfotwFw0wj/mR1CONBeIr9CRmhM1zInLMCeeAQqafXhuCD5JeJN43cDUe//0RbQ6+vyz91KoK+K5hfOvGI/MPXo9R+q3df5/H7iBa69lXwGc62+OmPzNiT9Q4flQ/HNkt1hGVniXOTEEc+KTmBMdmBOvNFqesi3sVD4FVY3h2zsm65+f/g3vPbh1mkAYcCc0xJ3wxPUcKYDN5coyxcWt1oeHY2re/E+ght7LqjETYxu02BGy90Ydqd8CRVUDy34gEC+iHOkRiRxLGZIEm8u1GIg2+IwzxflUnzcri6Kd+0aeDjqRJJETUXCQNNRJ8XbAyIJxTZ9I2MmBuCwBPP+POFKA0AhvaLNO6fR9KGks6gRVve7x4A/HTog19fyqyocVtSslXhQsJQj1+1DDVO/mtew7VD5+1YG3lwz+8MJs94wTK2V4UbWswjxDxzXz4zn0fu/+HopGoRRfzqCKmG7CnRCEO6GNX97wDCXk3QRiCnDzQyfghb+u4lcDZnO5cmwu132ofOmPzUL/5Km6E9ouadHmnN1iGeC/LBB1KZaQC7QLHMY+/DDnO8VwYNg8KCc2LoxBMsvmct0F1PX4DM7WYb/zSO2X71/eUhGaBMTGAR13sCzTiO4Lp57+l7yZr4T+fkthtUXZQDKKP9iCCtV/+6hl34o2F2dxX8pSug46i8cnQaWtMuc0GKzWnjzzXKaSQhyw1gNno2WRx2jIKwwq4ioX+j8kKHItq0REfL2U0uP/73YUrvhfxv7VTqYViX63QC24AuX8u0pZHrT8t57jcAxA5e08r8NrnYSYCrxslXIuKgRXDXhZWq3ToXSxy69du8qPhg8XcVLmfCpEmE6IuzRNWwMElElGA4OO1TBarC83DALYOvWkbOAuOgtsAj5yroqfgsKENtM07ai/T1GoysYoYKK0WiuV3XI6naeklLHnx479oUivv/P1MWPEX02a0ObQoWW7x40bUdl9Je6vjwrl/mKV8nUqCg2bExuicrgDUDvZklR9J4F1m79s9bg0iByrlC2BE0gZ9tiyZQd7bt9uQX1fp4HHbS5XpbSDTqczDvVD36hp2q3X63tlZvQZb129bfWGvVX2+qZbpodKZIGfovAz/Dt64LyQ4sn73aO9KPHvUgVRqBPRnh0LmjTMrKOrPaD7ALzC+7ZE/i3C+hJjCwh1fzqe27Y32xX2fv9lMRgLBQJRTM93g23lAnmaphXnaQWiHfAn6mQVK5Gp/kKbvTz9bnvKhDElkl2TqpEVZ+LijGkYfcZCH3K2V+eZXTLnHVkolmSZGDHoNGnf1CtPcnDDZheqCA0GYpM/1UwyfdFjTZX7bv+kGgaPACV196DN5SqVthECI+pUItdPvrVqn/iN2cBGbLLC90MgHgU+MhbozufGvTnN4NXfn+4zdQ0XnhCj8JFqSGF/DQcXitLQS7304l2B4FGby1Vp9EUIjhN7phGn4iQ6WZCzguBQL1uxXbuYrXHI3ufbRmyZd2e1jzAID8Cxfg+f8FatXdAcmxT+/nZA5Z0LgNoIacFf+MQM8Szq92gMho/ymvAYsAmb7B14Rp2gY6t7VPlu8MCqn6MTPoCDOql74ON5RR9YztbqPPynZnTa1QQKg/BKwWlfuLeBPut3FLTp05LMWSLUfTDMF2zJ/iSSP7NJPrKg5RbABuhP5LbyfBbXx3Dy18dBcISZfMfukRNd3XZwLtNc1Ge20yQEyahT/j+VEB+oVF3G/9n3wFdSymX/zGf+T+xfzZnWllKeF0JUR4XTxqEkiZxSytVCiGHAKCkr/lHd0DOuwlgE0MshxH4gzSfl9l5qd9kQ+ExarQ+XvbfXrFlrnV27Dmx+/DiTV63y1Js61RBxKGtb+2nJ2aiytioAl8P1dHytERerGHhuzeW353x1aUIZIP6TqLzaHE3TpvqhKCdRO61EabWOK/vskuZ0OlcAQ7Ok7H53UdEXHqOxzqilS9G2b8ffziM2l6scvVmZNvLPS5lrU7lafaMLBXcef+pYExR2tS2qcjVgF1E/9k+BnwOVqU6nc1+RlK37wmWpNiBzpNU61W6xxKFOhgHB8co5T1U7eUCOpmnVKvr8ehZQb3n1wKshndI7eXr36F1KS/R4nSd7ngo+sfSy6WKsFy/185vSOqcT4b7IUgVRuBOSAaYemrq9j7vPTZMsk85ur7a9PKfsDZrT6RSAt1AUJvXt0bcOYBj2lnnoXR+Zp3GVaepPVNXtNQnonU7nPhS1X7CmaQX+PGkKavN1u0Supdab7Rj21W5+vyWf5IYmyocxf9j6WYtO3nBDn0vz5q0uSk4ehDrJZgITbS7XBwJxB5I1PVPgx19ZFXy/HPqPjh97ccVyJ2GjForxKv1da+OeMW7TZ/jhPKgUxwM2l+tqbk+wEBjTss7B91yvxY8GvsMmB5Vq35wo1t568IGN3Y9+fuvmZqL/xpboilPa5H6U39K0oqCR/uOXbnupbiPX7D0bzd/9td3cEz+UCRWeHWdzucoX8tW6MJAv711Llz9oll847PBaVgA/Y5MDyl5b7l7B5Si9O+btJv32m3QFbYRO0rBNOif2xLQa7jp0nKvf20CJ/Ml/TwDG1Z4ZIh3YXVtP9LmG4JOs0Q2Xd5VoPwzIbG06XDQ3bnRuhuFyjEBHs9x4Wua2Q8ZkEdT8MBN97gtLfvhOXJIRNSnDDFWircY1o84fu7Aoli+ywHaRTe+uaTI4Jt/4uUeIOw1Sip2dJbUuF46Y+P3xZWKmGHEqJnbJLwf68Khh56ssPriNGxAa+EfsGlJtU1BoisH/iDLY/5b9SznTkhYQ/QZeAqpIKaUQQgCZUsFR/n6bDkccalEJRoVR7QBOp/PKfClDv1cLyy/Sau1Twb0jgCVBhb7CHyZ8kZRTeBsD4doAACAASURBVKBZxLwXkYeSaP7uGWoV1svToTtwqqrh54YLmz3r04tw4Glptb5Tti2n0xmFgtrstEp5E4r8vTUloCjXMqfTeS/w5RgpLx3yh5eWjx37NMqB3eS/zIUifqgwJPm1w3HkeUnTM17Jj3OSs249mFOyGOkKapFfAXyOO6FCdZiNDsfbr8PT/jjtUmm1Pljy87IYSP84h5dcNP3jOQC0wu8orjf+siYQB4BW8/fOP9ohs0PT6D+vdG396qleKO5RC34oR77Ik7vDfys6FXzcJJEgys+RQHSunl99+4o/Voh8Xf6aft37XVtL9DrmdDovpBpTaw7pOgRUyPQNKM00FbjU35cK6fmcTmdAgPwBTdOWC4QzLNvUY8pb/f584Z2+ehQ+UhFxmAqgMOgUKhJSSrTA6XQGWLreODdmzMsoDOs9gM6rl+6ZS5KqJLfON5z5FlErn4+xycf+4cHbxbfAXYlNaD+uE9soQ57hn4NPUZEPUBu2ETaX65T/dJrTwHzCd/LtxkHAUmzywZJsXxLZ2M+9S76pyBdcaDyKigQsxp1wXAgeBz6YcNu8w6/bJjUHRtnntPwIf0U6JWA8wAslT+cCsQXoxshPmJ13bOCUQa/+CKzEJoddb9hCEICfrVne0jKnduOsrRdOhBulFPw6OP2KfUJKZG6Ub7FEjilxj4biUt4rJe3ETBHWJYiD2+pRf2UWucMuUkcmvmtA5T0HuX3Bbcy6fB1Apj5d/thsg/BdTgUBzTqmZrfu4Q4POuOD5O7pfLY5mhLMUGWtW7PNrq3TtZaJR1vkjhN/hQJJNKVD6ABdUt8l1aNuey+WEPIQQm3U75543PHhpid4eltfGH7HF8yQ3biG0MA/ahU5UyHESFT0r7eU8nqh//+n9i/jTK8h+v0W8KSU0iGE6A3Mk1J2uFZbFbZfOow6WVqtxSD+QQ5H2ncQrYe/vEob9OqkmBMbr7gp8pXHxsQOjcrzsWPyCWplePDh826fbtblxwaLi1OnAmTlBAe/PGr+/OdQhAJvSKu1UkKDQEWtVcqtqJBvOSjKNe412qUs9NOf7AXaB/pst1jaoUgPAi/gDpQDO445sQPwZI5J9O4zr1H9HbHBrPrwPIPWpxWiKlMDOqvnuAGLdjj2ZUDrruD+zWotJ7EVMLvF0gXlOMpznnKVZhG4X9O0L2/k2QETiPk6r3j27rWtT767dEL+0YS6LVu+fgrzH1cCl6Sj8snLUIw0Xv8cLUU5WvDP0XDXoXOoU3jkL5t/8Rmk4bymaf/wyRRgzoE5p7qldav3UMeH/kwKSyoH//Hn1T5ARSXK0/P5zel0dgR2RhzN2V24amNkocnbuOuOhhh8xWUPqYRnHeDJhVZqnl/Fg74KT5QV4Vb9FIWf54f4BgTn6ciMy88ZPuBsWGTVwjexyYo5oG/E7GIDcKv+Po77dDSmEvIMu8XS3z8Hdf1z8DMwYvgh15xWNQ89cWDUYPhpQApJjSJRDhBAHmh+vmDho5uDT8Rd3rphWEKPikg+hODyvV2+iPlynE1QAudZFsaDysm+DMwb7jo0EZhLSvVz1EyJ7dTwD9eOWV0swCfYZDke6YpMCFJRkarqcrk4mHEpKPp9R2xu3WPB0blhXkJz9OtQGwd3iXuOoehA20rJPs9HwQMNl2qu3b63OXpXPB0v1UP4T95eSdrM3M7RvxbFFvyeW/eszygba6uiPhs1PbYvUDsoxMOv1bLPf9DpQu0i+0+Sk30E6K7yB5ewTVN6ju9lcbw19tN3Mxd1G7cD6EN/vNyEnmONVoS32DlsiHlhYd+YL0wAjdulsbXwbu9zKxP1TKgBKW2TWLqhAbBVSm4Y0339ORT1KeFMhRD9gTcBTUr5Dxcr/m/Zv5IzrUz0uxuwwP+3fBQ05m/BHcqEURdKqzWhxGdvA0/3ACbBuIFDD36OggjcA7S5GKUPvWV2IzLCdPw0Ozmt88n8X1C76XXOVfGrgMGX5s//seDEiX6f3n+/flO3bjQ+efKPY488ck2FeqfTue1HKbv4KyyuCUWpYDwLgTFdQG4HY0X32S0WTSd1n/nw1dehp1luvK9VbgedHhP3PFuXb7pE8SJwZ0rhLzfd27fcSfwG+rASuKcfMAnO9rRar+t0/ItmKc5T4MHYRYsaoBzeak3T7rmhDpgTtYPNzk891tB9a68tTYnKDsFnEGxd2pKYvdk5rV47NRsFx0mtrAm7xaKhiicaAvw2MCPzkxkXo/LDfIkOp+M2VC7IcE1M5jVMIO5omdlyzaK9iygSRW/e2uPWSh2T3WKx4afnQ0FZvgrzRDx+V9oDN6NEC3psX9ysVsTxPFq8mYyr2UUaJVfbFZpv+so/zkzsIkA6cM0TZUW4VYF4L/SK7onHptXKvOmXyCgBhMcUXs5KDbqtbE7zhs0utn1eny4PKdLN65Jn2C2W+5C8g8Bs8BlontuusElue1MIOqTwIaQuE7XxsUecmCCyIws+QW1+aksqXsiE4MkR3ZYsWvLkSCiD8/Q/MwjFqPUQoM8L9Wa99v7p8GPt8wqBugi5M77uvrj9c9sC3PDmQggSUKpT38rlQjsZhrHRXYTVOxTkednWIN1YpKuO+p6/RqVlskzC06ueLmvj2JCDac+E7MtH76mNV5Uq7Kl2li21jlMnu8qSwUltx+NOSBcCOyOW3M+SkQCbJVIDSHk17PLBrdWqpiSHU6j3yaX1TcL5/S681Y66pNtSLv+IXTwJLOrz6jp+Odh3AA7xAj3owUHgawYyQ04DulijViaMqjP9SQQWKQU/uB/mx5DGWZkP3x3BZxt9JPfUgagwnPx3rRIR8RdQ0ZfAb3q7lLJSSOL/a/uXcab/W+Zn9AmEUddIq/WuEp89i5Tzo/N9+V+G6IMbfX+5qNGSi8X5trQwXVbr+U3CLkQbdGH5vieuDOxdigvT6XQOR514FvQpKOhQZDJ1u339eu5XxA/nUXqcayrq12CHY9N30DMScjOg+jWhKKXHMxl4NRY8n4LBJEQDTdOSgQCZ+kiUPFoHIDJDn8b+sD84G5yMTup5c/TY3J2tm4UCPzqE6Aec0zQt7oYm82ofAljACxsg3yjE33I6JTlPUQvK6toLFw4WQlyo9CR4tSBqICo0agA4WzOD0DzTmZjM0O9QRBC/8zdxq3aLZdDlmoVLql00ReSFegnJ1a+p9eabhbrg4HuAXpqmVSgOfi0L8AIbvAbThq0bhEBck8EoYD81tc7M0+VMztfnmkK94bTJ6UxcfhN06Dx7p9eXKS11xuHxw0g159wlkaXfLbsYhNqQXnPRL4Fbra1p2gWBCBRKZQI1zs8JmX3+eOSEIzti8MNNy+U0b8ScG0TSbT2pn2O4DnmGObELSkGnF1D3kvGC2Bf2B27TBYwylA4dcvkxa6Az4dvXrQACEYeiZxQodqKT1+rHS3fPKpg1dJpp/YFbu/R9dcMfFV1jt1giPHrfJzlRvnui0gykVyvKiL5sHDX8kCv/psbb1myf2RVgGjY560bH7+fpjcxbpsvrOkCG7olBAHdK5Pd2i+VxVLVyFb3PIFvktrliye0QpkdvAPBI4TXUPptK3/XVqZI2T3iTD6KiOzpgqpwu54ik+kOocWkVh1qCx2CSXbYHSC5SgHD7nJZTgZlAxEVZlVWXEvhj6LR3vIsPP1168OJFYM4tM7bwe37ds5yuX5tCfLyBjiIERwa+zhdrJwJJcrnolZ1uTNr6dZ2cyxdCwwp8oZyLynXPt+jNVz7dB+Hnd8us2n87cvifYP8O0Ji/bUIImxAiWQjhY/fuHJQj3VXsSM2JHT8ZumxTSIFvfvNzBZx48khw9NkCshqEGFGOd9bqThGNq37WsvBcVaPOpxMzyzpSv60CeE/KkUUmUzfg2B3r19dB5apqA9/ZLZYT/hPQ1f45HA99Az0bAx+qft2oIx2OwgzmvwSzTEJQZV/WLMyJKzAnXkCd3N9HAe8NwO9VvDHP9bgyoArw0PJBtxftbN0stPeWLSwZOzZN+nzngDr+Qpkbm1uHYzzKkV4BLEYhfke9R9YbbcPmcn1lc7lqoPI/WcDQ/L179b6CgtiVAweqvJ85MQJz4jOYE3/za5eeQBFftAAuvzXq14xm22YRt2fanJjjE+vhThiHO+EQir0qzOl0mit+enkb7jp05umNx8NnfZZUZMrXpQF3uufPHwzgKyy8bnV0JfY7EOTRe14UiEyuhrhLmzkxGnPi85gTt2NOzB2Qfs+0u1MfNGkZA9BJndwWuYkV5g+L7ObF8z/tuz4tWB9GU9H6p3KOVFmg8vZ6QPYAYcMDAhGNOh1JoLdEFtRqkOfp0CeFjv0vTEMVj7UDXHaLZbO/uOy6JhDRD3YlLkjFTHqXcqTmxLqYE1/FnHgAc2IhimD+IVTk6GT1olqLe2YMbAtMISSraPtu0B/doS1r2er1J16MFai5NQBPXM+RAgxsu/YYwPCFy6ZWdo3N5coauf+w+Zl1x9hye8bZ6MvGKGDF8paWxLYxv+UA7D3V+oZ/J36bCegmtgwO8zvSj6X53c2YEyfYLj35yH2XnjD1TL+dKG+MOBj+Z9SaqssNG4MPnm2Wdj+m1Cd3M3luIu13Q8PkI3K6XIqC0uQDs8Wb4msanFoOwJ1r4ObtJYsWg4Aim8v1Fiqt9XIkOZ6EGjOZ/Xv0U3cPMx9+YmBsybFEA0SEpx/n00fq4NXpMDGEIjSgkGY/TiTm2GWgwdNL3ro9PLqI/o8mrfz8wovvHci5mcbZ0rzojyKGNZiE0WNoL3q1WhJYf/3/2v7mvP1b2n+cMy0hrxbHhAmC9u1D9BcvyXVDvjmLOXEf5sSCZLNx5xRbjZ7ROV5Wv3H6fHSO7+PCaENyZnw4zlXxHcXKVjPvmRi3AbU4fSKt1hkVPUvTtIKfpMz/SuVG3ECbUbt2nbO5XL1Rp6cdqBCiw26xHLRbLO38LEWfAJ7ZUGBW1IDXH5fD0RNYovNK768vnfz2kQcPjRAeScSJvAdQgPFqqLznm0AT3AlhuBNuwZ3wJu6EzOELF978Q9++xpj09IyRX32VpYcHMr/5pg6g8+XldbvGo0v2YQgqh10AtJNWazqqSAmUtNjfMpvL9R7qh/xCYXKyRxcUJAzZnrxjdUfn+vBd8Y+lK6ry8lfU6SVUuMcteXbO11WONr6022vwlV0gA47ihpygvyp2IyAOd8q7c8SBQ1WBZz3nz+f4cnPJ37PnIbvFkujPsd2QCcQiVFHNbxI5F+XgQ51OZw3MiXrMifdhTlyLOTEVhaWbhyocKwR+EYhHYwvrB2cbrhiB+T7hkwgmxb25uwbA7AOzKsNaBwgF0ir5PGAB3OptKMcUDLwkKU6fRAE07ZCxzeZyNUfBo06jTrNJdovlR3+e9Vr2++kwxAd/4JHmdw9hThyLOdGJOTHL39ZkVF4/HeXM7wIMuBMa404YY3A/u8/mcr0y5Jkji7oNOUORLwidkBNa/xZWFL81rDZevpfIj6/TBwBubvJHqk8KUrOqDRRCja2sCcQEQCsIlScWv3auLoqMYCtQr0f2p2F/rK3FWytHl6vwv5ZJydu6Qavyt+hj+GBWHynN7w5CbXReB7ro0BXVKqq7qW/6oFE6qZuXp88pSIncUmd0Q5tsE76505HzjQMKN2mgxMZR60kKD3I3EERO8Gwu1Pah8KEBM6LeJWwul7S5XNNDRX7wZxcn5QXlRjLUVb1Z09QQz8dtmgdqOqIATqx8pJDem+C5N65I5Bo5XW5FrWOXuffuaiDZcqTbi/57Mjek255ccHZB+ksnv5BenzHtrpAfeLPufQy9dNMIUy/iUJGDOODD/waH+h8X5g2Q2A+as4Bvb44nOtvDqdFHiShU4zwbo09r80aT6MxQvRBS3ll0a6/vAZxOZ4A/c4hVsWp0BjZIq7VSEnLhcIzWw+ImQG9om2i1lpP4Klnskh4ZyeQpU2ROaChSp7vVIcS7QKU8uwCYE6M3WcKm3vts3Wc8eiG2v3iCZucLAeTOt5vgCdZ5bh59pB/uhEpDkcLhCDDopANxy8eOzQamG+LiXqgxaZIp3W735m7dOhd4qazocok2uqLycRLoKq3WHf55C+iSVqqRWqn5C6KA3lfqB8XteaOpyPtkJWm7fiXUGy7rFNR3tMruNCLYPaG4IMqv3rIZhQmtIZGlTvVOp7MuarHepGlab65jxVWbUKq60m6xiBpz5mTh8YSlTJ8O6kTwOjC9sjnyt1cqZCqRBXveW/velRbhTzR/63RGjd8yo6AUJeEh4Fvg/YpECwBqJQW1a7Ez9M/B71UXlglvkXfggC9jyZInA/R8xWYXc1CVqvdjk9cs5HI6nbmXTJd0w24eFgRsk8hiOUHsYhlKe7U9Nllc6VxBeH4VKt9X6jvQeURi8xM1x85a3koO2dASjjcpeQrKRjF1rcAvb3itfmJXHL4Nxx/xNor7itujlujNF0xIZKZATPZvyK5tdvGnx6tvb3zQA7BSSkpV5ApEPCoi5QHqSWTx92C3WCxVa+c60lOCqxV6TBT5TK4Qfe6wa4a8/Zq8qVVy+nn1snb11OKMQ4CCcg2KRasUb7afonCBx2cYZdB59J7QcNl/yEFRvV5ud2xXReiFTyxGx2hOA59yiVfTdlIQfRvwjJS8jV0UAJewyVIpEyEYqafos/6tni7sF/SLqWqeEY/wZfS469zR5J5ZnXv2Bn64vZA7vzOBrpeU/AogZoogYBfv72zVMcTHzlk3AczEJmcIgWJ4g1XLW1p+O5Pf6K26wSfw6XTkNKrDTMc6LmRK+C8gw/9PdKY+Q2io8P3wA0Yp+eq5T4g+Hcm3uYdl2sSERp/3jNmPYiQZI63WxYH7nE6nBjhmSHnWocJNB4HWpSp7Sz7H4bgD+C4YfF+CvooQUzVNm1NZv569774hy+65Z+WViAjx4oIFND51alPN1147o4+IGAkM0zRtJaBIxlXO8wGgc1awLqbnjAYcqhPEt6+dyu17IGcr8AWw3Lkq/jf8+FZN0zIr6ecIVHVvKbJ+gB/nzg0K7dQpP3fXLpmxZIlALXTTbS7Xm2XaaIyC2piAu6XV+m3Jz29UIxVzYi2U87wTFa4t1i71CU5vtVvq6/K9yacnPb2eEpynKNjC4hLqLaGAJikvkOzvzw3hVgViEjAXOCqR5cKwTqfzJ6D/pVdfXVp05sx9UEwmMM0fQivbXjRwPiojOGjT3U993v5g3Y5AM0+ozvjbZy2p+41bNvwi5SRKi3Ux7oRr6qv62zSiimxizKeMw5c7PvxYBAcHX3r5ZfxzMc7mcql3x16slNMHm7wmC9bqbatPhHnCGt7e9fYsr95rLhWGtYs1KKKLOthkucpuu8Uy2j9vUSgH9Omd7gcWh8uIx90xWYOKjL5atVP8B8Aq6ZARfRBVKf4e7oS/R7hiF6uAIY3eXv/TyS9GDzBUvSDfvrPOT9Gpxv6oyJobeMrmclW+ebCLQ1LSTPeAzEL99qOlJAtKzy8wRCK/ruD+ZTmZhuEvvvYUnUPXIYSEEjAezImxqHm/AxXONwGkVMtivfUvukccZ0PSzYxaNT8y8NxrDtliCfva/UTK7TWXhJm8eeiN3nRvkX6czeVaLhD9UeIFV3iFnyjiXgpD83k104Q0ZEpJjJ/L+CQ22bRs20JwCagWOqbuqh7puUPvPmQmvEjPAesVvhrj9iS9tLwv3wzZBByTshiyhJgpBEk91ll3Tu/z65TebMllXvfHFJWfEGSEURhxMnrJqy5vxhRTSC6Zkb+QYUzlYNNGvPrt9/BfINP2nzi4057cXF68mE5iQSHZBbs5U8NBeOzpwuXdInagfkxzSzpSv21eJ6V0KEd6nhJwk7ImHI6OqEIP2QQGV1HyEv0rutZ/fdhbo0d/4K5WTbQ8enRZ41OnzgO93PPmPQgQdCprLObEJZgTT6NOecuA/vl6QrvObuDZ3TCYyDzvG303PRyGO6Ef7oTP/FR9G/yPqDDEKhyOXqiQnhfoUtKRAgycPLlAGAzu0JtuKvRfFwLMt1ssqX7WJ4TDURV1kjAB48o6Ur/tBkxOp7P0ydScGIQ5cRTmxE2YEzP98/oSirDgCooL9R7ApLuU0EAadW5vhLG2zeV6AhU6/wpFKrHIbrFcausIP4Aik3itMkfqt2NAVafTWalz97MHvYo6LXSt5LI1ANVfeOEMynEE5uhN/xw95B9nGObEsZ+PeeDs7wOeDU5vMk+0P1j3IfxhTEOu71tdkSw8M9ic7g9jjr4RR+q3H1EL/eeX4grtpvr1fzXWrImuatUtqBPiCrvFcspusfT19xGUg6nUBCLq4/ofx4X4Qph5aOb8CgqDAkepSxXdb3O53hvsHtmkaW6rDaHecB3wuCN67e7TQSee1Ht1tbZ1OsmRhik/MGVmATOnpeBOiMed8MLfdqTKIiSQ/Fv/NsSdwjPsm4KELUdvR8HPfkKlN76wWyyn/dXiFVmIEHiB2Sgs+YclPvsJNb+fVehIlUWGRXlYfnlSysQT31LkCzoPdNdLffLe+g8UFVF4FhURiEdt/tb0Wv3OgZqHXuTRxKVL67fdxilPNCjBjuuazeXKWe1+6v6jcXfSrncK3iJdFWDZ521bnIs9ZvqOQH77RXkfMAVTbjC9XxRAtBCMRa3rlWEwJwMid9GZsJ+bpT3z9O3H5O8jL9FoVxizhjU0LD8y7eO6psPHgSZCXIW5yOlSys+cfWtUP5IN8PyejhMW9bx3IebE9aeiPwtKq/qRrro+f4rVGISIisE51kTqYzl8tbW4Xuv0jYz939n+E53pi0Cu98AumoSG8G1UFJeLiuTmRx4J8hiN1Xpt2XJ++dixb5a9ySrlc/MgkMBsKa3WCsOuwuGoj8ql6AHbfqt1DX5O20qu16NOdTHA+7vHjRthu/Rk17ZZN/8YcRGfJz2dKynHtePBh0Z48cSiIDyLso20Dvmy1fmDcSEGKcSnFwf1qQizGtBOLccPLBwOC1fzh7fLCkLQftsjhAiKXbRoNipH/C0q9/bxkvj4C2E5OcdRDm2etForFLDG73TwypGYE/tfqyAKVbxUBXeCGXfCnbgTVpdghwo45aZlOU89Bp/5+bH1Gsyw1S9abmm5uZJ+BCwQ8i4nSA3Fp5FNqHDrUImsDD4TkJXqY3O58mwu10NAVSTfCimigU83NLnVm65PzQYSh6/uFFrjUoTPHzoeB4TjTqiBO+FuX5DuCELEXMvBV9DPp1C80Mko+kNQ3w+1Zs36jRJ5PWDdt+80vuvyuWCAy+UaK22/7YzZqQfoltatbQWfK2dqu6rmgjnRiDnxIcyJ6zEnZgTL0Esds7v3uTN1uK5zppZfoMvzbY1az6J277Om8dqNf2Z/fSfVL+tQ78D/xMIXNQaf0Veb7+84z4Z+wcAkm8vltrlcA/1zsAWFUf3JbrEc8eOaS1pAcWo+quDtHiGI8M9vbxQ07ZFKe+AjnIs1WGf85dTioMPc636s9oC0odQojOVQ2B7DN9WW8EuVNXsPhv5ZE3dCdeEe9+uvPY7FI0hKWc0UAKOu0APc62cvuq5JyfdNaicVNOmUwerUMd0Ap1dP7bmDG5lm39MgfbmlZTCAnC5fAe6i0yIfYRcREWffQL3XFYbPpeQT1PsxgBlyef4zvj0LJ17GN+cYR6vmXQQavNpoSOOHa87EbDy1pNTN5sSe73gPX+bjR1m38mHdmIPdxwB96uqy5cK8eG/fzDt8de9ZsOAW13g+73eMJ2qdIjU3DphQiFqX/6PNcP1L/r1MSmkXQrB169a3+vXrV71Z797Z49u1O0vVqs17b9lS9MiXX9YGLtotltXAozaXK0s4HPcBr0eA7zXQRSg+4HLUd37ih72oarnnpNX6lf+jI0A7p9MZpmla2Zf4DyCuy5Ec17apSRY4+P9x994BTlXb+/dnJ9M7MwQYht6ZA4JSBTUBFCzYUFGD2BsYilhQLIgKomIBA4gilysSFMWGCKJIIipKVzjUoTOUyQzTa8p+/9gnMB28937v+/Ouf0ZJss/Ozjl77bXWs56nEIhLL+1Oeml3NhwqDxZ3bGvakPA+G+I9AQSrgHEjZs/+GQU2+F7abLU+6Fardbch+Fyl5UK43ako8FM4cJ+02VbV9nnDlqMknO606/rzwI0uTUsNwocf2O2XF8fGct2qVcW3Ll++Cr0WvnOLM/3iWHO33z7oTOr3OU+hTr6gNq9dqMhqDl7HOVGXKLLyIcCdwLMAdl3PEYipMfmmq26aY5FDPkoOB751ado+FEXhr7WMswgYCwzjrEOsbN+jIt/3JXJ5XZOxWq35Ho+nAOiMxdkVGGVn1GCgtU9UiD3R29kZs9W0MnkpR7qbWPzosZIdvfIaSmRtjFE/og5cN6O0N+s1geiEAnv5gH6V+iiXoA4ol9t1/Wng0hDTVElhePfVC1sDfMNUrQbTlDHuW4CWHZm9AXXf1CaWHQNILM4BqB5XG5DK2VpvKUZfsAnT/HbH5uSml4pZfVYnjrnj1cayzc6UQUDuyUPRYU1aldbKnnW+9k0qaY+pRgsvMx5LR/UYThKCV6VEGsQfl7k0LR2V0bkQWO/StG2odh4dA90qJVIIpgGv0G2rC9Vm5QP61+hTtTg1VOp2MFGvtqMshh5hp3unijIWlXXiymD0uzZ/w1ddjeZe6Tf5pmdFZHbPisg8tuqatl+Ir7hJhqlxG/hpCnBhq63bjbm9y3mC4wZqazKLyuLafH7KMf3zk2O2xp82W+2vNy6+7OukZGCdS9O2AyOlLr8WU0Q3Lnp/W/j6J5WTlRTVAz1+BpjHqDk/kkKXocfw33sqGBY+6FCT5nkRG19Z3TbK1uDzrpclfdVqadvm2VcX9smLkwktgbBGu9pD0mlWBpux+oLP/ct7LQvLjilazQuB9UT4pvOEdGAOcO/8S2TERS5RXB4FTPVL+fr/vN7p/1zNNGQhXtR3Y03bcAAAIABJREFUpSz6WEVWe4DOix955CHO1nsC29LTV74+evTVCCEfh8lDhXgZcFqt1ir8uAbxwyFUy8tMabONr3St14HHgfutVusHIa3E28c2m/vxpUlNHCtzmLXgRGgnKkRFYJ8CCzyfdV0IDM+eN29B+R9/2IGoL4YMCX523XUmpNyBEHXWbY1r78aQVLJarQHhdseimJ5SgCl1IZErfb4BCi34u9VqPXOiF263G7D22by5cOyCBSGqwZ0pFY0fGZI3rC/KUXXBYKTZOrUNvliz7D1+nwtFIlAvN3AdcwnRLG6wWq19AKX5qNKNcYBtsZbuRTnL0AHiDxTDk15tLD9Qo2/VQG2+DuyX1KOPaYgW6I81n5jTKzG2/506ZgVikyjFkbXAe0/c9GqxN82/xfZFkim8XCAQOorBqAqxSIjBCPjcarXWGjFXmqMZVcdrCAyXyE+rjZWHEviuokd7Ymrcjk2rmmiFp88Ev2fremrcgSjkciHQ2O1x70ApqKgeYYuzHTCK9B1jON40nLzk0DgBVF/nKlTdswqPcOVxR0xv3PrqRSmzMSTJkhqV+vOyokfWW9Osex3SGpdyTAAno+kokXuFIKQN+oSU1JCjq41ta9ijuy+MigmWYpcWIRCY/AX8cHkcNg8IY30tzhQMkQoMakvj85LWB/xctCmMZcOtItvRAuW0v5eSwcY1BTBRIp8TiJjMNuVkti7/qveahBvtz+wcAqwMBoXTPDJ4jzFuvJSc+5DhErtzCpM7NnzzF9jdGYT63RZr6Rqq5BDqBPgNGDEi/n5T8r4b9uW804YVxRQOPU6qnCxrjVBF2tFcNvVOovEp3+ll8mRSBU3idoYf6ZPVuu3du/qUX76vkzgUuynicNRezDKMVmXtK9KLL1wV9+BHKXTe1T/pwdPkl8bvY3J4LNCUoEnH8nBnHHNM5Ce8ufP91BtaNzzUJvqespOolLwCR/0P23/VmdYh/v0JZ2/8JCBPSllb6ukv2wS3u/BtiJMKqNFS2mzlcPbmz01IeP7l8eOj8xMSGLl06Rc3du8+Irp79xJgh9VqPZO2NYgf/kBFFp9Lm63KZujxeDRgR/KG/MNdXzsSAFotviTRdMe45ly7qUAue+3IjnDJClSEdrTaZ29BIRvnZI4ePXb+7bdvcvfv373ntm04PvigKEzKGoCgap9/D8XYdKNNyuWoemFrVEvPeVGfGdEXVqs1wfi+i1HKEXsXOI+m29ZvfHJ/zK6nveEn4k2YaF/ahfTi7kTJmDwMRhrP0i4PYxJ9qaSR+q+YQbMozswFsQEVPb0hkY+H3ufStN6oDSVUp/0FFYkcMsY5QDUGo2qozWaSSpRkFmc4CsFqRyG5EwGye8SjP92Kdu9l7kxbfXoq8Ell0QKB2AFo2q+x8yY90LIfZ9P9G435nFHS8Hg8PuDkuSgKBWIVKkJ3SeSIWtboF1Sdt+pau8QOIN01Nf1qqjJNrVpzc+6oBVNO7EQdfvpJ5G8/fbf2YxllurXbM/t3Ju0paYWKSCG8Atrshz2dP0Fx966pjarPmGsiSkc0KjQuwGc9O6Z07puTvWOdhYDfBOoA8qBd1+vLklQeVwCHTJIW367FP2SgDAcQgngUKr0IBSSqdV5GDfl9oEVYRIA2F+SV792U0tyu616x7tJ9pn6/tLNNedi7Zm76FtTvXVmnNBd1Xy8GPmbmmN1AC+xn5nASVX6oIgIuAuK7nj/GD75rWpNgcla4CShp0Tnvm/43Hh8uBC+JEdKP6j1dKOWZtH3d5hKHTwci0lK6pJvpuAdiSi8Ora/xHQeifp/Wxj/9MN/3euKPL1zTa9aB1owLHKwiNl5pbc1kWfJEXGHclde9u//bpkuasb9dpNzbEYHAZwqwPfk4a49dVbImGBVzfdpj3vjwPAsgW3fNy+l11YmGMfeV6L5AlEZYyaU8G/s6HenLbcDMsTB+5kdyseieX5LQJemBfIm6BwukrLLG/7bVISD+EqrNKog6hN8tpfyPyHaecz7/PzjTKuLf1V5/A0Vk/+K/fS2322GCdzoDw6H/8zbbr9Veb4yU+4WUsRPfecffde/eMKCkySuvYEpIMNlstuhK7/0OlQr9XdpsKnqzOEOkA9cDnTfM6hAZc6yMLq8dkR9elph/9yPNkqJ8srA00pQmbbY6EXwejyfUE6bbpFwAvIGU+XOffHJFQknJraja7GngCbuu19AN9Hg8A1ApRJdNynaojWG1tNmGnO9aeTye343PJduknIiUE9udrCjb8ei+7MgAaRjpvXxTbsXGBI/MCj+hQh+BBxUVZno8nhdQlF+PWq3Wf/kE6vF41gN9gWSb1TYe1T+3XVK7MLRL0y5HEbeHHMdqYGTanDlvoxyjzWq1eqqhNm+UyC/PkcbcDny+44kWq3P6JG4BvrdarVXapIyU6Xhgo0T2NuZzKYpusq3xtrWo6DCzNgdf3QQipCh0BGhVG02ex+N5HrUpV11rl9hPpU2/citLSVyApWO9dM5N/2LmlFvDgYuLmkembH6rAx1mHyV1bV4+sAlYwhvjXiMsGIFdxle/di3z/RN1gHhJIs/2OrpECpBdnBe29qvZHczAZcYr9aXnK4+7CLhj7G4qZm7Bj12epT4ULEVFvhOkpF5dWJem3dqkddHHJw/GIaSQYZYmubJ18+RB7q6kFIfA5JSh0PtfoFqUqh4GXSITSMEuo4zrhxDy30mpgIcC8QjgBI68cHurdu3/jHFiINIbtSgmObX0sx7/ODUcdQiIABLOGZ26xKmRfWn4URtMXP8FfH1Drdy6Lk0bhqJEbCJMUl446JSYtWdCYG7fZ0Nta2fFxi3OnjPvX/u55XR888ErLqJhuQGbaXQKshpvA75ue8cLjQ8k5TzEkb5+FvwaBkJfnK69iur7bhgd52NPdvqqZw8svTJAhI4UD+NnHVlAh2wobhAo/2fk4aA0t4q+u8yEeu6aAGOkpC7cxV+2OgTEE6SUBcZ/jwXS/1uUg//PAJAMRZjhqJrQvzeW2z0MeCcc/NMAqxDXVXs9GtiOELHSZJrWde/eGBTRdkTxTz/FAFGfXnPNM8Z7PwAGm4LyYIl9xwdYnD9gceahbpDJKEWUorBCf3FOjwQZ7Uq/664xzZOkSZSVRpq0+hwpgNFfmq1L2QEFkChHiG4Pb9w4gmqAIJemnTAenMrmBoKzpbwB5RB3UA+yuDaLPFX+O8Chr04djPAFJ/bdV8ofj2dERQZoigGIAi5IPPVc5OX7fohCcB2CTMAKHHVp2vKSzZtDvMrX/JVr12KrATYnbZ6EQv6WQt3k2XZd/8Gu6y1R904WKqI7mfP++61CbzH+rkw+HZP81qRhO6TlnVewOH2oQ4gdpWm6F+V4OuN1xOB19MHreLXLk9dtxSCpqHxdI7U5HvUwn2G4suv6Oruut0OBwjJR4KujLk37OlhWtol62KIEogOKz7V6nbS6hYAh1dc6CpX1Cc3lE3vWqGvo0OZ4jCmJu6c1YaDTd+OBqN1DAwTiYo6VbxO+IPseSNuP15GE13E5XscHhAXPNP3XZwIxA+VIN1dxpMoaA8Qm+b12XbeiRAW2oEgAfnFp2jaj1lvbuDehWsNy3thCqbEele0BVORR/ZpVzeJsY88a1Wsg/bm8bDAWX6rwZZ9INm/cwTaRUT6icCA9c2/5Aq8jGq+jF17HtDq4nCMrz0FKFqEQ04OFoLFR355lvKff5CUHfSFEemrbwu0FORHs/r3hzYvTtVNXJv9zFQqr8k69cwfmtSXxozaY2N/mAF/fAHWIcNt1/XO7rqcC90fG+Eu3fN+EC498a77/y2v3J5VGhd2Y0e2H3e2fy8TiLAc2jps/oPlVP6RTVJKQc1fhIE48+k6AZ17Oxuu4EK9j8v63sh8G7qPFbyYa7gSkNmKnvsuu65a+12ZmxiT4aBG178o3211Fv+QvNFNe3GrCgN+ZTc9ZEkzm9QcvbBYVXu5DBQKhvuQp5/rOf8XqEBAvqPS/sVB75uL/wv7bkWkN8e9Kr10GvCmlrKGs8Zeu4Xb3RSEcRRoMXizED8AWq9Xaw3hdoDbOdsBH0mY7AwZwaVps7KBB65JuuunCbKcTd3RC2ey774jqub80+PNzB0wRZ+nkS4A/Ucwt7+F15Hs8ngWZUt4zEmRQ3Tg96kHQVjGn271hMvTKhYBULSxVBKNdmpaK2kBDOq4HUeCptQAOt7twtqopHgda1YVEPmMWZyxwH+p0370i3hznWtCZcRVBEgv8rHz50Gots2IW8G1d6T1jXiMxTqtAsMmrr0pTbGyebcCAf0mXFMDj8bQB9i9ptsQ/r+28MBQV3Y/n+3mXpj0IvIYQiakzZiAOnipNXKKfCoTT6qLtzTHJM7CME4RI4eH7+r6nx+PZgXIGEVar1ScQ8ajDVDRwiUTWGWVVXqOwtLRg42eeMQUrKv4x4IorqoDKjDrpCRTR/e2Sc5IulAJFVqv1LBORS2RTFB3JM6/NRPU8dsLoefQmF5Jfeiz3j9jf4stNZWEoZzmr6ezZI4UQVXuEXaIUyMUum9Z1fYEISYbVSp6B68zr72OXD1Zaj3rT8wKRiqr5m4Gu0sVGoAi7rCzijhAsQ9Xtz0Y7Fmc8KtNQVZM3soxgwyzfxHs3B/XGeyNvfj22PKrUHJlV0YzPsh4JFgfjE7YWDqibPMIlCgAf9rNC6UKgpOzMvpX4I3qhnoGav5tLvOX3ifGrPmi9qSAnqgcgthZeKj8+NSFwrKJDnJTUylcsEANi/fzYsgi5M4lYhDyAOqC0lJJaZfoAmB8z8eS2ptPX/NAKYT5BvD+RC4p70zDQnOPx+eULRv8WsXrArsCBFjmtchuUZApB3q7XOya2bbz/ePhIf1qVOUwR/Th0yVoW/hRB4pE8mdeyAS6xLxik9cevpL9YFoyeFGUqjTzavoydPYt/H7Ik5eIRwzKG8OrplSsnDKN75+99qXcHx6EO46HodJSU59cidD5Wh0zbVBSIMR8Y8N9SmPlvO9Ma4t/G6QIhxFwgQ0r5xr88vtvdBoUgjQBukjbb5wZY4wzxuXC7fwb6A2ulzTawygAWZ4fSlPDHNszp+OC+9ft5pFdz0k6cYPZrX9DjdPqxRv6my1B1zxqK8k+43fctgfleoAKuOgeCtvKcO0TBznAwPwhLZthsddJuuTStDaqOEwIK7XxhwoTVGW3bjr8AeAAGPWKz1XQ8BiAKxX/aD7Vhh6xwc6vIfUNea3eRD0GB4FJps/1cY4x6zKVpY4GXEm+7LSGmd29OPPHEPAKBWkWXz8eWrV8WzIjLEE91fWqmRI4/9ycMU4QXw4IE7zwSsX/ggae0mKAlgdIXZhFjaU2vI91/TiiJ/hD4EK/jvHVTPR5PiAxhuNVq/VQgQkLd0yTymfMZw6VpYxHi5dTXXosv03VyFy6cA4wPrZFAfIOKNJdK5K3nMacdgNZhztGE1B/zRgC3kXbUyvE0MHrjA6Zg9osTVjX44po/zHvbnbq0LMr/s4EXmI6KqiPihgwJJF5/vTlYXt55wODBCljkEj7gKHbZprZrVztMXCaRNe8Xl7gJxZA0A7us0dZlpOfno9LeElhdkOQfOeqXvb+jaoDjJHIWLlEBnMAuq3ACC0EDQTC7r/lkya8NPl+L4q2tfIgrALYSVbKMaU/PGnFJMMfVmhTgk8Va+u3AKyWBuMdjzEXmfH9yIDHs9GRgWq3sVnUcLoTAy7MvpfDS8wJYIpE1n12XWIBqa7rYNTX9BPBhQJovE0iOlLfPbxW150q7rlfpHAitb0IFMT+tJqvbUNlYCEKiGj9IyVmVJ/VsX4lKKV+K2deYQDhBgrjNeeQkrpS+sAJxMq6CReNOsu3WIghyhwyXi43v8OihmS3f9BZYino+u6lGWl9MEWnM2nOY0+3N3G3VA5evSzQJLNhlVFi5eKnn2oRnb36pPU3zSsEgfRlx/JvW68aOdJRH5XB5xe4feSF4Iaq2DpArJf/yYbvG/OoQEDdeexqIklJO/k9drz77r6Z5Q4VgKWUWqj7RG0AIEYY6ZX5S96frN+F2N0CpW0QAj0qbLdSAfYb4XLjdS1GOdDcwCIszsRLJeDGwJzrH92D2sTIe69uGmAohH5//yd5cuY8fkr9q5mo092pXo7k1bgThdjeeAbO8wPOQ9RccqQXYXAbmqcC1QrSu7/12XT9g1/WLUafu7YeaNUs/mpY2PqWwUL4MdBHirJC1xXkhFuc8LM4DKMDNFyiHmmSsyTSghfi0ywU9X2+vFQrBDAFuIdafz9yrzWsWkGSKjv7dFBVFeGrqQ0ChS9NeMTbv8zaBeO7XlF9F97zuuD3uOvVgK33PnlicH2BxHkJFW0tNmIa2qmhvTs1KKQhPTeVAl1JOnd7GN3ELe7gazW3iajT3nCnMahZqZblZIF5HOdKt5+tIwVgjKRODFRVFEW3agHLOhS5Nm2ryiQdRjvQYiv2qvu8rsDivSlvujQSIO1hWgBKitiJN0Oe3CpSIeELYqXHHXpy40ry9y/HpZVH+n415SLuuT0RlMt6r2LcPgNwPP9zm0rRRxlVMUG897ycUWOnVWh2pshAUuFbSfSM934pK6fnIUlPW4MUNWkcWCrdEzjLeaq4yF4uzBxbnfNnQubkg5T3Trw0+j0NF4QmobNFUoBleRyJeh41XJ379S+MgS1qRglrf2401eCqzvHX0guPP+n0ywowidMh1adojtUw3JP9Y1WaOWcXkKYJt3UpR4LXaLMH4m2XX9cN2Xbf6ZZjmzrsxmBZxIFFK1rs0bWu1lPc6IGbeBoLdCsgHkJLFKCDlIFf8qsuwOJ1YnPtQqeVvUS1XKbQ+eJp75rPrhh8eG3TqeXnb3nVZwJw4k1k+MbUFk69tRa+H498RU0QIDPR2UkweWw91jzPAXVVMTpaZlDZQWIGVM7WNZTT1SwIC0TcQyTO/9w+UT9y8FtepCacxSF8+Sh1qNxflU5TdDnwRA7n5tiDqnsoCUoTgvICR/wFzUUev+f+F/decqRAiVggRH/pvFKBnh/Hy5cBuKeWxf2lstzsSxXGaALwpbbbKAJhVAFOk/BQpb0kp8OcV377jkLxlRzbqQQ+RjPuANR9fnPDivc2jMJkFsXHhQ0ev+7Yjou56j1F/3QHEjIfCS4Q4L8SaMecdGIxMFwhRxFmoe71m1/U/Rsye/chzTz4pw/x+nnvtNRFbXk5g865RpY1e3Y7FWWbM90FU68MxFCjmYryOCLyOC/A6nhGfdinC6Ju9A9Z3UExO19dx2XPNScb06jUeIO7qq/ei7q2nUA7j3E4REIiewJSM2IxAVDAKaiGjwOJMw+J8OSRagELN3otq2j+MQnD2xOuIenz0gkwAfVqP7Sh0azhKADqvjk2zLlsPBArNhVZUC1Qx9dRx6zK7rsuwBg3WhTVsSHjLlgtRazTppdtbz+vmiQ1SV53U4kyvvnk2W5HTDuDUZUkFqHu4NROn+7l9SSZexyzhHTMJdejaJpFP1zIXn13XH4rq1i1N+v1EtG4dicE0dWhHQp0MOgIxvb5xK1nImdZLum/X9U/tut7kp+tz5xzoWspd01L5oG+nS12a9oFL0yIpjTThtiZicW41fu9NqBJFywiCRx4qtMkOp0fk43VE4nV0w+t4trK4/dsd6H5bf4j3GZzSldZ38sGPfWvybp8xYd9K1udfFSIncbo0LcvQlw1ZjcOFQLRjrPN2TjUG29oohEymdgs5qDN8v/fs2rLzgxMvzpiQsZLDZZ1yjfXc4dK0dakHI+aiGMK23nYEAZRgcaZgcU7a02BRybakJcIeleEBHkGB3E6gIlYbXkc4Y95ZQfc/0AYs/wn4MUhY4xFj+4eP9uwRn43KKmmeGcn435o3eH5Nq5xJtpZPSYmMjyokp6ghqGekhskSy48g9nKqOxUVMab15cTgV+IQxBdfHSyP37Mi577kFw58OABYJgQNDq4KUrQxm85LX8+hy9IUUjcBgUaoLMT0uu6Hf9eEEO0r/e91qMDpv2L/zci0MfCzEOIPFOx8hZQyFMHdxr8IPDJqoFtR+fjPpM1WRcex05tHtm+VknVBae2dUcqRUXuSYvxciaqnbEUVxZvgdSSJT7vcc/uEFk8WCXgVWCxEGoBd13fadb0HyunuRt3sOz7StJ/DKyp2o9JL/7haiLVAuMfj6XYec/4TVZhfLG22p1Hp6QSj1/Jc37kTUq4xYRKfzMz+Y8Q+W7Fp/0kCjeLCV6R80mVr7HpRJsq+Q61rOF5HS7yOe/E6fqs0RjjKmScCb9+pUiKgTrj/klmt1t+AQEz37lGoTeQfKFDMay5NO+3StDpPpJXVWxJ9iSHnOxyLMxqL82EsTrdBSXgM1XR+AQZ1G+r0GYbX0Qav40G8js0C8cgPjX7o7Bd+7CfuKLXr+sOoqHwJ6gDjdGma16VpdUUUlb+XDBA47jf5GxME4KoaNcLzN0VROHHiySPty+I/Hn+qNCE3jCdHtzQt1tL/cGnafaHNE4tzIxZnKYpBq/LmuSgq23cZEMi81pKP1zERr+MQBo2cQFwCTEQ5xHoVgYa+/PIpERaWHzdgQAnwLciGv37VjGVvdehanZ7PGPfJ8xmX81ewQSAs86aduP/lfxwOHu1QMTMiGBEA7o0JxJUdfuEh5Bc3NUE5nAIUx+9wICIie3TL98q7rNgXbJAoBA/UMq544QIWZkXB1D/4XiJrqzVOChBR5syc0XJfSdemwArU87zYpWlHXZp2FdXo+Yz69i+AmX/cvZD8BgJVe6/NQmxS1e+XSaf9qWXPHFwWWxSID6nyXPKivc3Dw2Y3DOzVHvuQ1VcIZjyuoRiLpnYw57f2S5N8vrg3u/1JDiASr6M5XsfISn3doUjYC9xDcjbc+OUDgQj8XziyO0X7zcl/NC7KaFoYIbp4415576IOOYU54YSbfX5geG3RqWEPgyC5uLl8uwcQRgwZrDTwDA8B7CvrMcuu6zcDqdolWZK8YiaFvZcy54vOBe17TQTMJqJy84CGQnB3Hdc5bzMExNcDHYUQx4QQ9wHThRA7hBB/ogK2cfUO8h+0vyVpgyHnMw1owaxZ5XTtGgX8Km22/liczVEptKFAxz9bRIb3e70djXySn8bsPdIs1x9qPN9aZUy3Ox4V2TRoA28uEGIC8K3Vaq2BTg3Vez6+/vqWywcPps/mzTljFyzonDZnzjUoB/Km1WqtU5xZuN0hcWaPtNlsAB6PJ6T4MdpqtVbnDQ7VRgYdTzKPHvhCmxsOW8LFDy8eov+eEoCSnWOb+b2XJiWceGJiXrCkKAkFgvoYuN+u61VP1cqZb0eBapZJm+1mg+TCDxyxWq31ppvrM4/HcwgVJYZZrVbp0rSQU70RtSmdBBx2XV9WZU6In4H+ws9sf7N3Vvy6MH1F/N6SYLeXDlWWPitGRdKfAR/gddSKlDbQlToQ+MHzQ1kYYaIywYFL01JQIJirUe0wmcBDdl1fUdf3cmQ4cm/JvCXpmfRnPvrZ8vO/qnGKx+OJRzmFTTar7ThwXdKpsK+XXNI/NT8st1fA5CetvCXdivqQFEgBBdj7HRV9LDU4mUNjHaLSWuMSssjElvjb6Ig6LNok8pzkGZX6VhtFz7+tZb43cqP3aAxGp9Be4J4R+s4/UNHV+Y3rEu+iNtlB2OsBkFmc4uIVbxzr8WeLpk/PvKIg7WRSgkRyLOIgW+PWUxRWQGykSfpKw6dVmMprqBoJgcWYV46UVbAACBRh/6xNMGYvL2GvgTgOjREiXZktJQ6XpjVHEYNYQdLmgjzaXpi7xfJkaQ9j3OWo/eUzibxFCE6jDqUNpSS32jpsBbphr0nyLgQzUBq9zj29nlv+/o0/fHvRNyazzMsjKhCNVtKDtjGNgmE5jbdgtO2IbMf1KMf9rZS1IOdd4gcURWKMsFPGHxeU0XlXBO/d/450zBkbelu7MdFjexyPf/vKjGQR6TcRnRpW8dBP30Z4fc0WS8kddaxTxrxlaW0fGnZchSGKRHSqnCyfFYJ9KFDnBVKyHZeQqzfZvAsWX2e5OmUhZnysLxnAktyHOV3YEWRBECwCdYiYJKX82zMk/e2caSW90hieegqGDCHh+Gm53bFzTwtzUhpn0yrsTIvI7fNK2wamSBPzTIJUIaKsVmsN4InBn3sQtTHNlTbbaIOm77TVam1S6zzc7mXAsN5btvjHfvBBmIAgERFfNn3rrWFCiG1Wq/XCOj4XYnDZjeIAlgAGSfwuYJXVar0KAIuzA+pgcCXQzmfGfMOTLVnVPY63/nEiZ+yq04tQ6iN7PR7PBFRrzbOZo0cXompA8SgH+T4w7gzYxe3+HpVa/03abBeH5ubxeI4ATa1W679MM+nxeELf71Kr1XqmnubStMYoRHKoV/MQCpH844B1Hd5IPZUw4Z4lfSuu+KmTGTDvfLQ5eemx9H1gt25SZOSzjeirXqvGHnSb2+MehwFOqU4mUXXTBJQA+d12Xa9SBxSIV9oWtX3qg80fAMy1Wq2j+TfM4/HklwWKoz4/Mi3iti8uCtp+bS8EQviEjx0xm4J7Y7abAgQQmI5IEbzHruu1OqNKa32ZNdP2K+C/2krhyjTigRmSmsCfOsYJ9a1OsGbafgS2ZR2J/uaHRa2bYjBNbbmssPT9l45HFzQMnN+4LuFCCTBcgF1ur/KaxdkJFWkPLowtax9fHBWqq/tRTEvfAnMLJz8akZ0Zq2/6ron0lZsF6hAyya7rsysPJwTfojRX7zO4ZxGI+4D5TUvIP/YliQImYJe19qQKgRl1UBNAnJSqDcalaZ3MYcGPpaRbMChAij/eeuvI55sGF01BIeebSaQUAgeq1eVzKavV6FxiD9AWu6z6TFmcrXxSOD4ubz/hsvDjoqW5CIC8+FJZUH7cuyVpXVIJpRGR0X5ZXhr2D2C0XdfLjfl6UW1zjaWsJmrgEr8BfbBLIRBfAtfz2Ax487GpX257AAAgAElEQVRMKWlW5XtPEb2tAbPnrcyUqN0bk/H5w1mXdx1to7df/NT+r2rSqY6dObrBq4/Ojs2L59gPBZdxgJWow9XXvOCfCeY1wGa5WPQB/IGg+ClsZLB3YliW+Z32g3YLZFe/DGe7P50lR17kRMULqDMiJcADf3eH+v9Mn+lfsGlAzPB3/gGDB9Mw38eJJ46L5qbETqiH4Wdg3MUvt7lAe7tDbFG0mYdMYkWqqgfWKEYbUdomlCP9RtpsoY3yINDI0Ous/pm3UYCp4xsuuihGqNpkARUVwyr27ydQUNDVpWk1CM2F2/0qavM7CXSvTBNotVp3E5QVEad9l1QGRKHSFB0DcKrv1LaF314Uj4SPxi6yN8TreLQSsjhEen+lAQhKRPXB+lHkEoUuTXtF/PjjQpQj3U9NtZTfAbPH46lOFP5XLER9VwXZaNf1U3ZdHwK0NgfNG4QUrZCsWdfu+uCKm++d4Bp1N5f/1DEcowZU1Cp6ra9BOOs+6/ogXscT5+NIDVuOoSQikZ9g9K1SC0DErutH7bpuQ8nBbUalUde5NO1Pl6Z1gzOpzYkHYw6WGGQ71urjnJdZnK2wOF/H4tRTV3jjo2VMxJxnbuey9e2kQGQAznAZ3uXCQ4vNARFoi2C9FMEWwBqXpu10aVptLWOhtR4BNFyeBoYj3X6+jtSwyn2rFoBGLUqPhkobx9qW5XT7JS561uXtWaylX+zStFbnMeYZ4A0WZwMszqewOH/H4ixBHRodAVOww/fWPeKZp5dXnE4svgKvIxyvozNex2N4HRnxyf7k1l3zue6RvYtQYJK60vP3UKkWJxBtUPU//zduFhieumrEWMmkJIAiPYiAsxSFdl3ffevE3XddNzqDlNTSAonsNvrpZlPumN5Y3vpGo+Gh+qvRmpMP3FCL+Hg0EMDijMfiHI/F+TMWZxFwMFzIx26L3Cf+aOhnzLRP6fXdaweTCqPNLTLfajz0yc3WAbcfJiwiGEBhAgpcmvaGIVL/DGqvq63vNAaQAnE3Cv9wgrfG/wSkCUGVHnU5WW6Y2Spw74WDsjg9IoMtsUn+S5OWkxZ5cL1L035zadoZuk2BiGTW+Fd8YZIRb94Ad8ocFBL7GHAdL4Q5IXgA6HHjW5/1AzCbZBEwO9/fKPzOXds9ARl26baiS7gw/E/eaH89y644SnS0CM15Wl2/z9/F/o5E9y0AfmmbShTwytQX+cxk4qXcHXJfIEcBnJRs2EHUwzHuGiF+RW0UtRGfL0fVY7ZQFfDyM4rz9mrjPRhjT0A5uHxC6jK6/r5L0+YDj1ccOTI9ok0bs4iKKnRp2jvAk3ZdDwi324GqNxUCXaTNVm60ctyCIr7u22RUWkR2n8SIoKCPSZKP0r1cAiwO+7TLGoyWnuDAATXSjFar1evxeIox6OyMdNiLLk2bitogHtnSpctTAkjIzy/JT0zsWgvn7zJUzXQEtRD9n6d9bfy1nfkXRdV3GzDCzqjeQINSUwk7YjazL0YXh6MzIDbmVGyuGHTjng06QKnHcyuK8GAESm3mnCYQD6MilGOcdZ4LUYeKoajG+hpm1/XdQE/DYX2IWsNtH16QviH+R7NW2DAggqbgUIFYyllmo/pN9Tzeh1rPMz2PEsnJiv1ShllY8GbO2gccyYOq97jadf0A0M+laV1RR/cLgI0uTduM6skMgSpCa33Z6J5c/nFLaFRKICv6r4GjrFbrIY/HU2bMM9RLWQAwQt8ZBiSn7Y0sf+XmNlmoe/CAS9NWo5idavbwWZxm7u7WhhwLLL9uJ2fBSKBAfz8fbJ7zVfsNU94IhMlwoPfUCd/V1pOdDBAZLbPtuv6Y0YK1EPUsf+TStOnAw1LqK4RgNTBEhFXchZ/pKBTwPRfmEaImPRfF5ZOoaPkhIZhgOFiAlJgEP4PuObSkXbfI4UMXNmxw5aJkIRA/uxZoq1ECEadQkf2bqCzQcKMscyODrmvEwdbhofU0rBDwAB+3/XFGxtGWp7/naHMoaXxh6F4IC8eS2qaYa0dnzP74lfQyVCvTBGDU4nTtlRE7t58G09VCkCJlle8WkxNB0JhHAOiHNJtQh+eZqN74M9YtSvkAX5z/5Mxr1jVp/O4aOTx8uegTv7qPEOxzadoaYCQ6nwEJczfAgYMtABbIybKvmCJaodDd/bAPLcC1gm2HuocyB4XAxGRR6rgi/OioO7wPXD5MCoK+RvwZuwFvZhaRTZpSejATjH3972x/x8j0CMBtq7/nn0IQnRJHWEI2z3dsLFyaNmfQiy/GouplKtVls82yWq2bUDdWn8oDCbf7XdSDeQToXc25hABRwyu9/1ZCLEXQTdpsZwS5Dbj963FW6zPCZCKyQweBuvkL7xo1yoWU7wAV8949dre8ZccMLM7DKGTmEpTDjo047cv2x5nZ/Hq7uw1GmivwOhaIT7ssQm1iu1D1kLpsD5Do8XjOUK/ZdT1g1/VH733jjXFvPfggzTMzeXPKlJjFjzySWQsgKMRiZKvnGvWawejkFb5gOyzORVicR431+hDFThQNbIwOxjxz5aZvfh33/V6OtivLNxWWNC4NK97h0jS3kX4NPfTnFQkKRDsUnZufSqhNq9V6iFoYjGozu65vsut6OmqND5kD9H7zmnaxT9/T4shiLX0nqlIUaRBLVDXVsjIMi/MrLE4vavN8C/W7BVC0gg/FH3z8q2tef1kAdGhiDdRHFmHX9e12Xe+Gqq9nAD2AXaE1Cq21RLZZ2Ib3/SZ4dwMrJLJWofhzWAaQ4iM2RI6Qa4gMfAeIzA7lV4/8c2cLqjFNuTTtU5emxWNxXlJFk3fh/Z1Zfj0gYlAH1eeBRngdDfA6BrfZ8sLYQJiMBCZJZF3kJqE2tDxjPXLsun4tKiLyoLSHv3Fp2r6nW9w7B5C8NHkeCoz4pUQupCogp04znOc8FNvRa5VesgBca2XgYa28wezXM78UiJtRddrBwHGXpn02s93A+a1N+UUPRO642ddw9iHUfbiMNVdEkpscAhxOBVrgdSTgddiEd8w/j15w6AuiS+H6r6DPxucqXTcFwGQiz67rT6H2szOI9Hkd+8d0jNlsohrwKQBR9/bFjAqUHpTIQ1JyAAWYaiZEDYR8CsD4BryGYMmpgW+Kd469xVv5T2xCZYkG+cKDx6/8Z3K/uAKx/47DgKAU6CMEHeRkGZCTZX9gAR1WJpB0SEYS6MreDvDOGJts6CzwJn8Q+XHCanMFpk7F5AUm33WQh7/ZRJMXN5F38Azw+m+vd/p3dKaTgJLVa1bTWAj29u7N51lZPqBCwqjS6OhCoDHB4CfSZquc6joCNDWANgi3exIKIHEaFSkGql1nDQrE0894/yWoqDYAXCJttlqFjoXZvAgg+YEHfgXmZiWnRCwfPPj2BgVF/DbObX5wTd4yFHlCM1T0PA+4CK8j6sgtjW8GKGkVfYYDVrjdM1DR60ngwvoUZFCRLFTrVRRu91XlUVGzg2azL6a0tE9UefkyFLJ1vkFReBOAUU/OQQEJ/ppVSmO2+CyroQw3hfvizHegOG8zUGm0LgZ1W2/hHeM7nVLSL7upb9/TX+xPQh0ojqGc5+HM0aO/kIHAec2lCroS7q4FtZkBNDR4kM9pdl3/cYS+c9HTnx/gRMsKf5cNcS2AE7lLlzYy3nKX8Z17YHG+V6mXdxkqu5GAEkZ4ibM9jwOFd0x5cVzF9UXhRScNQe7zEnSw6/rPdl1vj4quz6yRS9O+CZaX7xCIyHCZED3/d7gxk13nM2Yt5gY4GXdNKPV/2vi3OODtEAtVqJUl0Zf8dFQgxgfcHB2IKdgftXtdkOBIQGnyXr08lynPSOP37oHX8RJehxdAIOagsj4/S+Sr9cwpFNFWSdFWS89vAtp1ifv9qwl9ry9PvOvtSLwN8+BMSvNsuvnc9jiqV/kRo44KkLwhBb5rSnvUMzjMruvL7LreJN6X+ERUILoCuKm5ubDg+6aT4t6N/1H4MLVEEfsv4NkXynhhclaltp3K96YHiEPyNgfa1riu8fe08Z19lRHpceaCiOdb3cnTLe67/u12V9wfGnBGJyxfq8ro1xJZOQ18t/G3Oo1hUug6crK0027VMzTZwuZiW88RQ08890f/win7upcy8rUmzOvfqXXG1iQGdvw+pIi0EACL0yyd76xa99l4/btG/xRb+QFmj4GM9o0BfwDhuSRvmD8h58Hy1I3P7Zj56j/ou70pHbJDPw0l/A/onf7tnKlRpH5g+/bthwOBAF27dvUvy86+2yxEzNRx446t79VLXL9yJYvHjBlarb9xPer7Xibc7pGoU2IpcEFt/LkGEflJoIVwuztwVkz6xup0f1U+d/P20+aSgC/mpL/fwDLHyHkPTTL7I2J5buZ77Pd/al6e7Kr4Pd79JqqVoy1ex8OVkMU/oRz4xQDC7R6PQvudTQ3Xb6Ha1w2hfxBu94WoNLUErtj14IMbQvB1FAtVE+Azl6YdNFQotgFRHo+nVb1XqqUGhNqM0uP2lxQC7Hy0uQvVmtMBr8OB16EDIfWW6aiIsT+AXddX2nW9OSo9mw1cU7hqVTIQ+d3775+r//ZLVJvRpxJZm1ZoCHl6Qy2v1TCB6As8e7RjeenzSw82RFHU5ZX+8ks36fcT7t49KWCZWYbayB9ARUpHUFFCL6PnsTtex/OhnkeBaIli/AkA/Y066Xk7eAC7rq8w1ugO1KHnmlPvz7YBDDvYv2i4OtvXWRs8hy0CyIvodiHA0MsYhCJV0SXyUSzOWCzOsVicP2FxFl6Te+srN+bcGWnLvYYwGSF/T1jLUsv7fpdl7tuuRnM7MmR1HkkF1Q+oCMRVqBp+PmfpMeuyettr7Lq+267rvYBeZVHBfd2L9kW9NbQ19198Z+xiLT2ESK/R51mXGcCj91HR6XSALUm0vrU/RAQJdt3RdIC0vHM/FucaLM78a3Ptr9+Yc1fUgNyhhMsI+XuCm/cafMkQX1PZvqhfN7yO+7Dk1CqQLhBTUGpIuoyseBR170Sh9iU46+SqpKftul5s13U70GhvSTe9ZdQuGkUef9+laUdvmGuZ8Vw3Iq48jqTavS4lGag9sIUQVVDAZ5wpgHzRP41Y71LyW8G+a+e/9sbRp6YuPMzGgQXzzSZZvuHbppz4Nq/fTQ0WFd8duePi/JR5RzHIUi452Va7LC/R901cNDwwj2n3vLsdryMxPPsR2y/+pu/6+6+PpCXdKCTnjj9jyTzdHIg5zP8A+Aj+hs4UlEOVUrYym81HLBaLcLvdS0bMnv3PXR06NBPBYMZN33xTW3/jJwDrpHwc1RbhB/pImy2z7iuxsVTKsHCV3gsHRkubraqYtErvXYvFuQyL8xRQ0sSdG16QEh525XOt4valRnKXp/Cz3ofMLYBvCsPyw/dH75rgajT3iEvTqkDbDQd+HOXAh6HShBUosNI5Zc2sVquOSh33BBBud3NUvdEMjJQ225l2BgMQNBhVA1yPIndYk7NwYYiW685avue50pijgJidE1u1AsjrFt+2ehrTUG/xoO694VVk0NS8XHZdbwQ4Kg4fLgcoWrt2u0vT3nVpWg3HY6A2hxrrVhcN3xkGozperzxeNAq0JFJPxN8kLe8Mt2eNstuzRpltWUOQh09Q1Cws7OuUxZFbY9cf8FFxGxCB19Ear+N+vI4aBy1DTuwXVOptlEQewIgEoSoo5HzMruuL7bpu0XsVvb43apeQPh83L+kRd3B7IhVlolbGoXOZ1WrdAARKw9LSjsbAylSG99javKKoxYyDWJxZKKq4maiUswR+EghHU1+LuMKwPDPwalAEAwhV2vjDbbEEg/irrUMDVPpeojiXz3U4DG30tapMhWyEvnPzfZt3xz7xTQYZ4S191ojvwgPStN+laatLi0zKIdfs86zLHkU9Q47rr51tnpja2HHtx5eyp9/TZX8OeHoXShBjIOq3XC8Qj6X6micVqDWYHm4q8o9qNklMaDEux6VpzweD1Ric1Dr05qyIQ/9q1x0rBIJzHyRyXjjo6vJ4xjf5X2ffh4RmN8+xPOaY1JS5y8Pz6hBJCPFBV1ZuCQGmzj6H+4fchqmijH7xEE8k6zn6/LIxL9wSf9mKy9KaEV2SbBqWOj32lhajOR55sFmQ4GGMg2TUqUcjsq5Z/jlddrBivaOrmCJ+FFOEYH/r2Sy5HQ61gpwWF6an7SnPLU4Gitf+LzhS+Bu2xlQ2j8ezFLjlISk/3KM2fy9Kt7S0Rn+jECcjZ81qcr/JRJ56mK+UNtvqeobna7f7vldgvoHEmW6QK4DF2RXlOAajeERDhxIfsPeP0Wkljwxo0OsX9W9vSJutsg5n9XaMDOCeUDuGx+P57JSUN90OQcUPQH9ps503GMjj8ewF2j0kZYM9qv0kCXhK2mz1pdMIgV1ERMQFqW+8Qem2bcUt3t5xp1Z60ZWoCKJlpe9ZgarffoNqzalxIKmukRoygViD2ow+kMj7q3+usv24fHmKKS4uu/inn4L5S5eaUJHs28DTdl2XBmpzL+r3bCeRtabejdS+D8i0Wq0ta3sPABansH719s4uu5p2mjB3QEnbw5aYSq+WANs2zmjXrLhFZIvj48eX4/dHoqKOV4EptfK6qu8ckgxbIZFDjTn1RR1iPrVarcNr+1x9ZpBcZBEkYdV3n/vM2QXhWdNfwxwW9AX8pjcx1uivjPnzyh8zMfmaFi1dTLffOpKadQaY6kPV47+hFk3ekBmHnXdQwKuwsIgA/gqzI9TKIhC7UAT3z0rk1NrGqDqg+AiVqbgIu9xa19sE4lPUQekbhHQ0j9x16O4mU4OdYreawiICdL3Uy9Y1TZLsun7uWrLF2WluqbY0QgS7Xt1kC6l5hhKjKRAgaN6H0baD15FR28entL4t/Of864uHpnwQbok4QUpaCe0vyj3WZnpec2Ou0agoOR64QiJDpRmEIKRNPE0uFs1RwMRe2GWdmTAheBTkm4meLmVD1+dEXe1qgAgKZFD8iQKrba/2/pDc4lVSsgqXCAkGtMUuD4TeF/3yk+6LLl9mvfofl2Bdn8zFJ1tjliYIryAYXVK8LbAz67fwU62TIk5SEYwojjBVPGfXddV65BKvAk92e3orf14/DBoePMSzxBIIs9Dnd9h60WvBj4TDvcsWPXDq2gDnI0f3N7C/uzO99U8pPx4PBFWfWGtps1WJdEL9jSWRkYNfnTqVo1FRdN+yZcZvjz1Wb+uAcLuFgD0S2t8ekHmu2/Q3UamTdFTUC2oTP4ZKAc/H6/hZuN0iDvYXQeshkLnKZmtW2/guTeuEcqqhloc/gTuOzJ59+Vx48zjgN8j6/+KaLAhKec8NkF2gABxzpM12ftR5Fmfq4Yj9Uw9O73tPRXkReW+8Q6fSC+hYcoGMlFGHje85D69jw3nM44xGqtVqzQUQiEdRiMf9EnledVmPx1MopQwef+SR94ExKIR2ScAkX7zzj13jMdEEVSf95znGOYyq54VX0RJVPY+jgCtLoiraxZRFhA4MfpT25rcoko8MY5ypwKRgRcXYE+PHd0K1RYWhUvHPGm1JZ0wg7KjIOAtoKpFnUp8ej8fPuRx8HSYQv6LKAU63x90LGezTcu0trP+8kV8GRRjqeXgJeK1Op3pWk/c6IP344OTIfQ+m0W7SZgqDOUWdMlI/Q/3efwnZ7dK02Oad8vOO7kkIQ6n0ZC949vjmNbfnDQHWS2T1lqw6BhJfGXNrhl3WmkESiBAB/Jn1FQI3YL0v9bk5N3ZwPZzvjTKhsieLgIdD/ZrGGjRA/YbDUCjuaIA8k4k1V25jR689wecDO00iPl/j3oqd5zNtIXjOjO/FB1OfPXBF8y/alBaFg4qux4/QdzpQQhWzJHJctc9Fou4jX2CR6XuTSV4PtMJe+yHR+IzgmZfKefn5cEojVxUtDAze+mMj/5GdSSGx1vWA/YwqjyAdBdA8ICVtcYnVwBWcahjHtMmXAfcWR5fbgibZML44iqCEo/Gngx913GgytTrge7rf3nDC/KOwy3cTw7y39Yh3LxneaCYJYbmgoujH7M/svBh4sO2jGRwQRbks6t6AK4Ds8O+wVAwEAsGPhOlAVpuydhP2JwAfSEm9B+u/g/3HnakhAF6Iunn9IUk1IcQYwIHapFZIKZ/8d68V63YPM8GyCJCnoZO02WqouQAItzvW7Pcfk2Zz0jQhaPnkkwSLi3ehYO01T30WZ7j2RrsdO1tEdbj3tI9RBQF6PnHmIHoa1Y+5GPgYr6NKXUi43WuAgTeDdAhxwmq1plGPGe0Y/wTSy8LDefrZZwO5DRuaH4fj02y2ej9bm33vdg9+F74zPPByabPV5Lc9+z0jURH9bSinngCQcXcTjg9JoWjci2V5ZEUhkajG+Lvsun7OdDOAx+N5EZXKclit1tkCoaEODH6ghUSes4ZljLMBVVtKyhw9ugwFZLobMO/sVcyvV+Vv+fHW3B7nMc4nwPC4jJIhPZ7afyHVNs+ACLJ8yA5+7psRGLm0z43dPK8sr2OcDqgobZXVar3KpWnRqDrb7ajIPQd41K7riwQiDVVLNgGdJDKj2liHqMxgdJ4mEM+gSDl2S2Tn0Fp3846BzD3dvn2v3TgUSMqMQsI+adf1943f+w7U790LqvRE5riH55aJ4Zel/Zo4jad3rjZh/zc2B5coKysy5X4+s9PmoElebQoK8We/Itlajxr20K97vjzPMUJZjAjssoYCkUA0R+ntCiqtrxC0Qq37MblYyMy9sU09n7YsA2KR+JpUNFtjy78aE+beVG3byQc2bLrgyMq+n773RqAoQbiWNDt8e/P1LYGG2OV53ftGmrYwOrw4suD9+LAN36ZmHdqRZAHEhisKWHnH6SN7ehbXeoASgg+Ae3967pKDl3b6pTUQg13WGbUJhJ2gWMzKq+CGLz+R/4y4Fdjimpr+BCr12sp465k2HiHYCPS8L2LHffNHjn2ZE6mpbLg4gLpfyGySx4rLdbLXWzNmbLi7Xa6Mms0LImxYLA8tawrz83np/lGKTUoIMsNFWdO32w1enRSecwUgElLKSy8Zdiy664t7Tx3reKwxv/RXT8xS/Dj1H8hOvzLv/USZEF2wz3SHbI46jMbXJUf3r5gQYgGq/JNVXVFGCPE48DpgkVLWW0L4S9f8P3KmPStPUggxANVofI2UslwI0chQjvnXr+N29wR+iwfzbKgYabPVIEkw3mdGRRite8EvrwvRP+/TT08Vr10bagFQvXtZo1JRQBPbzKuSm46/tykP/HCaJ0qDweNDG5p6PLZvWtzR8hl4HXUCPITb/SEqNZPxIwiTUoE5r43SefHFQ2Y+8MCK/a1amSedPMnA2NjgyUmTmho9bH9lXb4FrrJB+VqbLarKi6r37QpUGu5SFAgpZCUo8NGynxd2bh6ICxsPPJQ5enQxKrXaEAWO+gR4wK7r9dagPB5PO9S6f2ez2q5BpbZSgJsk8ryj7Uo0i6OsVuu7ACmZYQ/3XJsw9+bZjYgtMGOMPcau65/WGED18t6a1TfhiV2Pt+zeceZRmqw7U1bMAzbkx5V+lrJv4oxAmExA8e7Wq/rj8XjKgTyr1XpGY9OlaQ1Qh6KhgJDI4y8sOhSRcVFpQ1SdtIaGY11sUfWZQPRAkfuXoyKx3NBat85/jxZFrobYZY5L0+KRLBCIm6SQoqGvcbBnwaWm5MAZxr0SFKXkMmC+8I5pI4Ji44pfl4sWhW60q17/S2o/NUzJuB0Rdi6KyTOdHLowJera+Q1DerJVShv1jKGyG3ZZYy5GHfoIChX/kOSsNjKAEPwEXJozr0F+ckl4ZHDqs5/sj9p5456YHQkFYbkk+VLQSi7yNy9v86cJ05coXeJTZ8aVNGPAmsDbLb4UY4e8YxKCv3S4EIIXkuNyJufMawjw2cWJ8QuaZ0R9e+WiFCJLBQJRO9uWIBoomHPPw6aHB80ziRE1v3ulNVCHNYmJppllplONovyLws1C8BN2aQUwkPpOoAmSYJOKtF1a7vXiZDA5vVuYcTaIKYaS2GOA55Kv39J+ufhAd2ABQj5IJWaor+eJNdfGcWmHQ8h9PsbKydIpBLcAS4G1i9O1EcAikzk4KBgQnAqznJ4+73ByVosKyaoTT3CU1/BFmJhWEsh9L8WcEJW/zTxSfofikX5PSsXx+58wQx+7CPiwmtZpcxQQsBPQ4z/pTP9bpA2jgOlSKsDBf8CRtkKRKpgfh+0thOjq8XhaGT2F1e1XVF3zu9eFuAUoSLrlliPJ3x4eVxCWOzc/LLeHWYbt+jN2A51KuvFZP0vw0XtSaX2qvOTR5dn9js/qOBh4bfNbHQpD6co65vQyypF6gQtMQsxDgXsG8f9Rd97hUVXb+//smUnvCRN6CZ0cUARpXuEMRREpViyDoKCCSAAVvaAoVkTsyghYQcERBXujKGQogooUYei9BMiEkF5nZv/+2GfCJCQhev0+v3vX89wH7+ScffbZ55y99l5rve97HrJS07mCWbNeB8wtjh1b3+vIke6m3r1DRXj4KaemfQmMqUu+R6SnvwMM6gq+J4xVZlAYcyAKZhIovfei8p4/UiUH5HO5UlEg8evsbvdgFOl3GqrS8HZguFPT3kc5sGo1S3VdP2A4nS7GNZKAD/+KIzVsEcqZDgPmC0RzGjNn5R3nfN4Q2ePuZxo9Z9zbZ05NOwbca88cX4AK3fVDTbbC+lse+4p9ZOrxxQ3W5cxETZ4egHjEBtSufO7FHKlhh4B2LpfLrOu6D8Dudp8Dhjk1rTGwyGeRfZ8c1YJDHYuLWu+IdOOutp2lKGd6B+p9rtWCxQCAGyXyHKix/mX1lzI37BLBfV2SmOx4ws74a4DWXsrF3sgd7IrcalqetIwYb3xerDd+sn7w+4VV25UmKSLLj/kLQy75JwoTA4U3G4ri/eGfPeB58rp3rZ+hQrJdMZimqCavF2RRqFRKdfYJ6tn+WNWRYnU03x8fu+vn8ia9o158OI7cOExwZwV7dToAACAASURBVJuSjv6WJR0O/R69rvhwxJ72G+JWWVBKULlBi1bVruAHXP3O+O/4drTXbyFkZPlf3XU8nRSdNRUIP+sLKdk0OH/JJvI52bL07gnTmtyHigysc2raDhT5xXYAKSkWgo99fsudZb5Qqt0hULGY+AUIQXA/pxvFhYcVzlJEbxQY4xBiZ3wksD0j5FjsrqitkafDTmp51g9JzL9STj93i/j3pPuz47RtcYz0NxWIh1A56kPAPVIihWAeai54eWi0EiUvUoVlc8TTopOUcpwQnAJsI3a5LVIyIM8R8uvBbYndyzfLxJfGRZLOEBHmidozf9yLvQkp+5nOH4RHhxWwaufVSahN1mRgtBCkBagc/1OTUq41tE6r2msogo6v/4nrBNv/RTWvBFYKIf4QQow1fmsL9BZC/CqEcAkhuv3dxg3d0m2o8vUputrOw3kcVfCxX6Hydn8evH/vcP3mHfeGnyr1RR0p7tY7f+CSweduSxicfQtJ3mTfzqg/eKbXekZObGxCyoLD9cOaddg+djsGeSSKWaemPo1FvRSFgCZttmLOa7PeXofbWoNaKa0/PGpU72hdf1SYTIR37FiCCkeedWraguooCoP68ARwr9knz83ZVbjPLISluMP8YpTDnIR6BqdRWNl+BnVbaoC6LbgtXdd3oYpOKsKndrfbgSpmmmH8LaBZ+kItmqWHvHitwi+uQoXdRtdhLCqZrut7UAVPXYImEAsw9udbz/1hd7sHpRZ2ubJeWf0TJmlqJqRY8WtM+oZCU8GdBDCPMFf4ucQXYc461znGhCdtZhDm8TEUlnivRNZVlm0tyqENrfoHu9t9coR719sT1uxn3bAcb6sdEZHAWqem7QhQFAZZBYNRHa+7ChWafVsifwQIaPLG786VubIrfm9YBQUlcMZCyKdaUZer/PhTgA35lpzYk+FHFjg1bbdT07ob7f4UaLdR0Z6y4pBmgcjCf2Li2VSSUGIKv0nkMwaU5XKUI9mNYnb606lpv9RAUaio+Ko2jLgNtQjxAEMN2E5aALYDHGltyRt3V/geihPzKO63uhxFrWcxeya36nl4WUcpZAwqVRMFvOHUtKxRMxu8FdTuMGBCvWgPOYXxgdBtnU1KpK1D+jcAV7ducQPGYm3D0NwP7G53d1RaxY3BtuXUtI1OTQuQgUyoF51Fdn5ibdddhGINWiGR84DZ8ZHZRZxNwvvFjR2rkqU0Km9mGpBz3eZ2hZ2WF5mKik7ErxCJjZ5h0xlzvF9In5GGeQn1rQVL1T1stDPO5zfFAdwQzRUoCNZY8bRYh6nsEdT3sAAgNtFr/un+TB5YeYDtbSOKbOXr6Bm34ruPP0t9fdyvDa8Kv3ZylsXsY+3eK5pw2zATauccgoqA/Z+ZEGIYcFLKGklC/iP7v3Cm/5JSdkE5nwnGdtuCKvXuCTwCfCaE+MthpCqyYW9Im+1VznPSXh18rOXnNXOA6y45UlxSeuvORi095XnAK9ZNueaiJuGURZvXAePifEnhA/avsnw6dOjrL99/Hw0yM5k7bVrkxxMmzHFqWpSu66dQIbFONfRpMDAf5WC6BBVA/YBaWNQqVSXS0xejKnv3cX5SVcQPY8ZsQY1XCWqxkO/UtNcNfk5lVod5wtRl80K88pm2GaWcHb07QVt0ugPAuc4xoHIlo1FyTU3wpI3Ak7amtj4ZdgE3scHy9CyqEvFV1Ac0FShwatrUqk71VNipPy1YaFPYxgv8q4Zy/brYYSDZ7DcvBRpF54d+L61zIgOTZ+fCHhuuzrmxybCsO2hW0sp7KHwPXyctwmmdt92ZPG8YnrQJeNJ2cJ7BqAWAQFyGyj1W4F3raIFS/guqcAWiIbCoINHnf+f5U50MjVY30BE1aVZwngYYjIALGZUubHcq0NvkFfukdU46Vsd3WB0VmryJa8wmX0QIZ7tG70ClK8LxpDXGk3YbnrSfbt29/Yjd7b4y0A/U4u3XF65vdSLmrPlKYJ9E3hdfujkgnD6qmm7UcXREyIFomNmJBqj6CVvwn6syTaEKqQ47NW2FUTAYsHCqOFOBaCz8fKTtbuA/3PmpbdI65xRqJzaH8xqza4G0/rnXd8689Us2tT5nwpP2TTBMy+52F9vd7jtQ6YtvJTLxGmfS/VPub8ojY5s+IZE+KSm+tPn2wpyieIDH/+owzB09YcXKBrClx4EofKZ9wYs1u9v9h93t7oiKnhxGzY0HnZq26uNULfqSZn8WZRcmAlygGSsQwzHw2Ce15+7H6nhJ1nPs2B/6VTjPPIXF1bcZKoVzEJjLebKUbl2PLBmEkNHA82GmYnn2tyLTD++1Cr3i29jf8WMCbg+uZwhmhlq3p/elAHOS2YpaqO4FrmRG2AvgzwT6CUHjLxvT6LHOkJPsPfXq0i3R0w5+eXZj3iCkpFufownrPlze9HB5qYm8okTByR7ZTGj3MuobvEcI6oy7/ismhIhEbXiqVQ76R67xf1nNK4R4CvWiD0CFedON3w8CPaWsjDGsta3KsmFfSJutgrTe5XLlA3795h39gfGLr4y7YcyEJglX7C1i+cwjhJfLMpR4+Dcb57eLKqsXOgWYrOv6m0bbPVFhNjF+wYJXr9y8eSxqJekF3m/kcPQQJlNnIFLX9eKgPnVFFSMJwCZttnXBfXa5XKeAJF3XQ6nGRHr6LJSAdibQLJiUweVyFQBeXdfjDSf1HIrAIcwkTaXtizrvvqSwW9K+huFNej/XUsQU+0mfcai0WbZ3Z1mk+H7jh9oMalGvuZi5XK73Ubi0YbquV1uMY+yU51K52GWq3e1+RyDMLQpanF34x8K43dG719/X9b6/LKZd0Zc16e9gEveuPjiXgUub+HttbmEKWrDno+jqPgUW4kkrdmpaTxQ7SzvjmHXAyMZz516Hwko+bdNts1C51jhgiETWKL92QX9qkKszds6HUTCiiRJZgedzalpfVEFI4PifjT4tRC0E2+i6Xi3cYs7U4Xe425/6aNDPqQxb0SlwHVAT0G7g6/yX543f0mJuMvCpruu3VddOsDk17YqiaJ8zvMjUvCxMIvz8ElZquu2W6Qf//KXRd/FShPym63qPi7VTnS1ZL9q+lMreXXFQYqaXRNZaDVwpr6fy8l8Co+3Tdx0GwrDLGKyOS33CP/7LwdvvvuL3lpZGZ6qF7czHk1ap8jXn3Xj5+W83cc97718rJT9Wd32BENHZpuNXf5LY+Pr5Vsx+AcoRjb710T1Ld5/sUL/TtJ0FKAhHnSfMb1zi1Xt68GDhsRSKbOsWyozGNUZmnJp2PepbagjI1Cuyyr1NG4V2e3JrPhAXuO6Ipd3anE0s3D1gbTvzpHf1otBySwV8S8bm5IgBP8VP/eMu//dbh0Tv9NWrFW4SbznTfckdQ3/NOJxHeJaZ7OTy8sTMkIeMKNT58VEOrmDemPtCxvV7WwTyuOJpIVCEMIPZNrKErz4Kp/HxddYDzXqH+uFkJCkSeUQIRgCLO0T+uu3xFmOSgUZhEV52mvoyc/tzlE+rX8z8bV+S2ckOvCnlP6NBaoR5v5NSdhRCdEJ9cwFd2iYobHp3KeXpf+R6/6QzFUJEASYpZb7x36uAZ1AVZY2klDOEEG1RN9VM/oWLi/R0VcINv0qbTamaWB2NgfHuKc0ePNstJvLKkbvY3jiMPs+kkJTvkyueO7Kk3amyV4OB9Mau5DCwStf1q0V6ekvUhBSKAUUxnNdjqJVMRESPHr7EO+80S59vtK1fv4VGf5qjPuIw4DZpswXCugRd6zsU969mhE6D72c86uOpFtLjcrn+QOUbY/WbdyQC4334hhwO39thV9RWU4E5DyJSeHB6GrlRody0KW/sxzOufzfo/GwgTNf1KP6GuVyufqjntFjX9Vr1Ow1M7weokLQJOPPaq8dPbb46v/OP63+UEf6Io39ZI9XquBSV672qoFFIiz/ebG9q885Jkn/KKrf4TXtQH/H8mjCPRr+uQa2qmwFSREb+1PCll64SQmyy6bZy1E7mHYn8y4UPLpfrONAwWK5OIAIFaKsk8urqzqs6aUb26bMj4bbbLgGe1XV9hnHvAU3ewRLZ3iC6oNzikyFe82FUWLaSJq/fKU5vavBl/XJzwlFd11tcrP9Gm2caHQhNmHFnC09MjsUKSO0Kj79s+AumorBWBVUxwnW1xFKx71wYbR7byc6ZHWW1EZ3qzCBXeQlIQOLrkmqhTUEnzH/09KK+M7ISC/gz9WRJv/XtlgDv4kmrVQTB/7FJvrVyApM+mnNYyuojAIIKPOvKj7XUiajUTjeA5qm5vvqXmfxtph8LAR6VUjEjXcwEIqx+Mbn5IYS1vmFB+Z/f3QUQdbGcoFPTxhhjkBgS6eetA8/StaTJ4leiN8dKZK/SUK81vCzEKLAXlReSb0wcCbw98IXlrNwxcIGUFSQNNdqSZQ38o4aeEUMcTYpv+iAmTCBMGDAeu9tdwSYmBG/NHT3+/tF9FhB+V0mlCJR4WrwATOXFU7D4PszXfc2q1ZT3HSBDg84/jWIpa7zx9oZTi/JDJ58+FE12eTLrwpvx1ZDF/rKX8v14I33GOF0Q3v+rFuxMq/nbEaoUyv6n9k+HeesD64UQ24HfUBCY5aiJtqUQYidKsPrOujhSIYRdCHFETJ3qB64ShUWewhE7P8LqSMfqyEVhPKcnrzsXKS0mfrzZeqD7rFayINzkO5oc2q3dn2PtVRlpgonPg/KvocDkAKbTCGfORIUzXyndu9cPkL9ixXtOTZua8NVXcSju1TBgSnWO1LBAkvvOSveVnj4UBfGoGhpWZnVE1duQkw3Q6elDmahQ2FQzZq11Sapn0NlbvvZFttg47cHbyY0UPDhvTsHgT6dXpSz7E4h0uVwN+Xu2hiBu4trM7nbn293u4aidxQqfWdZ/8KGmnR+7u5kvNN+XhYJ/1G5WhxWrYwZWxxasjhLUcxknkSmbWu2URb48No8OzbWcmRSKJ+0SPGnTa3OkRr+W293u5igoiEcWFV1VfvQohbmnupvLFHn833GkhlWSqxOIm1CO9Cy15NftbvdXdre7Eaqi+lzRxo2XSK8X/5a9D5ZbX1uL1ZGHqlKdBnRytz/Fg89+wYi5H64K8ZrNBgXluKri9iYIjS7f54fKmpW12CogIaN12fvjNuxNRuX2s9y/WM1ZvxwQ0u+P+eH55/8yNEsgXj4XRpuHdsPMP1lb5xOtjhB75nhpzxz/x5U5V5ckepPNW3Z7zT8cOWTeF75TbuhycMtlP8+m/q7Hzvb/0hGNJ230xRwpTiFMQpIcdyYfSBGCCxY4QSHTs8C1drd7X3BO89juWPPmJVEhI+vPItbsmf4Xcqcrz0QQNvd3SD0b8iUqJ1itnmqw2d3uD+yZ4wfol0T5o0tjGdvoSWzNHrrjaNiBYdlxhUnvjvyF6Y9+e1ggKgjz8aTNw5NWjAHzkZIyYKRRGVyjCUTqg9eeEfVyovnyhT+OC0Q91CI1CaXKc8KpaYG6gAessZkyM98a0H+tMPmknAbcwZvXSW74mnFrGsm+mRdQKE7FyKv2HHL6z363HyOlW/7KrPKGXOfbzLvftDPd1f0ai4myMJiXLYTwCyGOGPrVf9mEEJ+gMLbthBAnhBBVRT3+cfuvJW0QQthN8K5txguRq23dScj3cnT8PmLKKvpbiAHl2Ppsytpj7aM2jwJp6BwNlTZbjWE7l8u10yulNkAV5DRAqcvUSOLg1LSwhq+8UlR28KDJM28eL0yYIN0dOgjgTWmz1RiScLlcMSjavS26rneF85AegkPDCrIyFJXbvAJILouzsPH9DjT9PNPb8pMzG1CVnwvxpBWK9PQo4BhSJt7y9dd7rlu1qp3RXgYKlP6ty+WaiuIXnabreq3sR7X0/wRQX9f1OucxBKJt9DnTruvetpoGLUoU0ba+xN9yC3krV44ZOnPmgooDlSzbSNQkfgHm0RijxSEZk673hshb39v8XknrwtYh/4lwuVPT7ou543ZHTLee5p2zJxFa4F8UnWe+u6aK5NrM5XIFyBgcNt32HMoBWoBLJLL62t2Aqec9BLjzaOiBqw8+e3mMlzJKZr9L+6JLy1uXdPjVhHlpsvvRSE9ywSzqQnLhFAWHY0aHHIu9MxTopet6jaFVQQXO7oJ2T8+M8m09PlhE3j5BeN54w1e2d+/7QFpdxkggdCA9upzSs58TFurneexyei1j0BeV39VRO/WAoyr24//z+OC3u23dUy6K8kPEiVYlfDo5U+7sVdCxNFLWiTwBp4gDck7l1F/faMLpK4GDUp4XTjDy20dRKYpOkgvbzXkztHTLyobmU4eizcX+aDJKUw60jtzRx+52n6plHB4BXrwsm/wty4k5Vxh3eeLYnA3G/UVfsDu1OhoC96GKnjpg7ML9kfmsLcsv3xe1JSQ67DhH25bw/eis4twkb9yOfxVe+DycaoeYtvDNz99aNfEmaiFDMMQhzoT5SHplbndv2qRfLUAvKdkUqEhHPR8wQt7d7i5bXlQaGdn5se0vSFk5lysQI5F8xA8D+eWPcyQ02lbW/p7SSgWTQpAJ1DvwastnWtU//CQwUYzw9uocvd5+b6PHvfGWbItPhlDSoTkvr1nJvnMl8D8kHP7fzM37fPN2WuRqW3fC/H6+mP41R4qOM6fYlQe0wpMWjSftSjxpr3VpH3ViClCsXtZxtTlSAK+UrjfUfzYAltbmSAHsbnepKSLicKimyWcfeCDX3aGDuGPZMj6eMOFWp6YNr+k8XdfzUUDwdlAZ0jP4j7xpcvjOEVgdB1H5t69RDEsJwI7QXO8L+GX58ZuSs4zV51uGIzWjirASEeLdT19/vQNq57cGaAR849S0A5633tprdKPGXVId7HfA4nK5LkqKABUf6PqCBL/542ln7ALR0evxHAHwnjz5wRftu+3LbvDU91gdJ1HRgfdR+fQQlPN8BIjHk1YPT9oQ4ZmIN0TeCnhSClOWo3aC3au9eB1shHvX+4671pWLkBCS6rXzRueZR6KKp16qpSK5JvscQCJtqBVwKPBwjY7U6uiE1TEXq+MAKiLxDXBT87LW4fVPxxSHpaRQGFFaujl2XciS5Hcuf+Ffr6V66hXMRFVX1qU4yhJfuq3A+O87ajrIEBmYXVO7DVKKhE1P3wcQ3r49KIhRgVPTZtc2RgIRg1F09+bvvBWquDAr8wRbHa2xOl7D6ghUaP+MWkzVRxXgvQF0wJMWafJM6tn86l1cO2H/HudDp/NCSk1MmdRMLOiWutGAadXF6gM0jD9zGhUObSUE/Yz+BviSQ4AHq3OkAPH1ys397McOny1vcPveoi60jtzRWkpOOjXtK6emVRUCDxZxKPthDRsAEqJyTxMsPm51hGF13GsQ5uegFsEzUCpCBcD3PPyC3/Tc9D19Tz9vvS9ziX/ulFIiCk3c/2iTiEfHtjhraLte0F2AV0ZMmYuCJY0yWJWqs++BpNf/gOEhhwI0gu+Bqki3u939UPPW7yiI39ozG4vDigosAJODd+iGiMMHCHy8fP/MmLBC3Ee6hoqnxVbxtAheiE8DxBvLJwfez+wWouC+0uKO/kPHXmeA5xZ5a9Yo7l17FdMHVtRt/s8Ih/83O9Nmh/e6uauglDlZZ8nwr2Fbw2/YFrM+xpk8ryK8J9LTI4Adh1DldunnoTI12u3Q41ugG2RJm62uvKjrPwGxr3XruJCysi2D1qxZjsoBfObUtKNOTas2R4ZyfFELnvnycmuud4/ZJ8O+nXXU+90Lx15EwUtSUOHqhUAvPGmBMOajmMRhoH5wRS3K6bQAlkubbSxU//KXud1ferOypL+s7G8VIBkWwITWODlXsa9R+o+fSuQSe+b40us26N+IUh9JKV0pNRW3+Snhy2u3RP3SqEgUHEKVwrfDkxaFJ60XnrSX8aTlQgUg/SMMyTsz5mXGNUZUd+E62opf6/0aDtBw7KSfOK9b+TDKYTxWV6cakKvLteR2QD3D1RJ5PoynwtZPYHVsxuooRoXdx6MqdzNQK//eeNJCs/4V/yomEw1feelh4C2JNDfbHz7uaXsL08SHGi+uI1uUJa5se4AU3VbdAUaeNB313d9aQ7siQnrOAaXRV1+djRKWB4XNK3Bq2rQaxmgtauKbPfqI4USzEouxOh7G6tiI1VGIIvF4APWeelC5vqtQykLt8aQ9gCdtT1Cbpse7YP3+7uzYaV8eXIOKBEQDc5ya5nFq2sXehYAeah7noXMB8owPUM/tZ4msVjQ+0AegeNL+n5e8fHze0icOfUKeL7EYBbU569S0jwwWrKoiDsMblKJyhrvbZhYkzV/174g//Mtjv54kJSWcJ8yvdiFJ05MmzLIIKfLkmv7FG+48zNRB/b9G5XMjMeA8Tk0LrmeIBQgLKfcAbxptv1H1hgRiAjAQybGxByA5NisTVTeiCVFBb0rVkPfx3bHmI98Wc2vyqxEtwna+abQVLOJwv1wz7PHYiDwKslpDQb3OwAnxtGgIICUfAFnenISWbL4cHnv+pcNJi87tSvjE9HL0Ros0J4mFI35j/l1Otp6olJ37nxAO/292pscALj92kDb1k/muqAivlPRPTBQY+MY+s2YFKnytA2C/roocL8D+BZtIT//IA137A7PPV3Zd1MZJ2eBdoCXkl4eGdre73YNQH+N6DLyXU9P2VGD3rI4QrI4xLReeauCTks+tob974ixhH805zpAt+bmoVfztqImkuZEDqhqaW4/abV9j9P0b1Iu9HaX/WcmqvvwlO3YIpIx1XnrpbwE4xl+0z4x/+13sQIG4N6zYMvjWz7vk+q1vNg9MnpYyOSlubzFhHdpxZe7AdBOmzD1R2/nKuqilM3leO2fyvAso2ioB0lVV7D4g4Ez7Vj2+LmYA0vvmhuQeksgyYTJ1sbvdU1GT8zuoXcNM4JxT08bXpc3jEcdPxnpjzXGlcbnPPTd4CFbHXVgdK7A6zqEqtJ9BYXWLgOWoRUkInrRmeNJG4UkLEDV8BCAsliF2tzttzO971r/3ZAZNDoTLnivixjg17axT0+66SHdMJvzFqOKRVjUc8yMqr7ZQIi+k9HOKQLFaAXBQCGFtPHfuY6hJOiBNNgs1RvcFThOIWUBnU7nYJq1ztjHvvruYdz88+9QcVDi5J2o3/jPnYTuNArCdagXSncK8Iw5e60A9ILssUg4MhrJQfV6vqlWIi0vJDlRaqI34YMzjKOeazcUjNwKVUgK491DJJf77960rR1XWF6NSFblOTXtDlLMCFVlaIK1z9rF8oMbHdpg/sThKeH+cHbXR1Nacww5fUja1LCRxisDiuQB4j65bopg9VZY9NL+P3e0eiVqwfoN6lh85Ne2kMQbB2q3TUZC6McFwE4Foi3Kw5fYjDDSdv06AE6CS2Dich/EMuvdAWf1mhb4hSR/wRMrotMWp2qqEU5avUDCZHwLkGdZYjywsjYYl35wAkqPKQg6t7/TgfKyOzZ7Ed+PmHsoTLLoTiqIaAqdy/SGftiy9wd/A9SYPvPgpN/bcyMGiSkGN/wnh8P/qnCnw7qhRoyLHjBmDw+Hgi2XLima0aJHeJjJyABC6cPhw/yqbzYTfvzrdbH4ORcTu1HW92hWrwVI0HfCsgOIwIS4kPq/+vBnA012AmXDwGputkmNyapqGZDHQWSBoWtqqvGv+FZYIGSXKIk3cujCVrwT03VGwc/UzR/rURkkYbC6XawCqUGSRTco8YAJqF9tS2mwXzWGtXLjws7CUlOGZs2dTfvQoGHCM2vI91fThLBCh63rkBX9UVH03exIKxu1Mzejba3MK4aUV320uapf8iWuJNhKLyQak6Lp+xKlpt6FWzlZUkdMyFMtTIVSqrlwhkdcE9SULiNJ1vdbCiqpWlRc43ZWejtodhQQYjJyaFoWaSIajFpkeYJLd7V5SQ5vWm/4ceGriuUfNLeYfKmj+U2EUQTk/VETiC1TF6UU5XQ22qFwj//oGcPitPm26xp8NWYhaIArgFHC/3e2uzhFKYJOrcXoAipYSzAgmEJMC7QKtqsX8OkUL4+9fuRqnn0LtpG/Wdf1zY4xiUKHAm40xyjzbKe6rHdeKsUOXd5JDVmnnYTsNTkFB1H4KYp0osvw6v3MAj+8Q2ufN2Hk8EgpD6Fg1fF5TXs/udp+HpznFGNQznYFdPisElxGVv4W97SWNMyQXy2+rxUUB8BN2eRWAEARUViZ/nKrNAZ5C7drDsxtLIpKae0f/NKjchEm9o+HFUBKRAbiy/aEL62Xf863EJKmtYtUprEDmT8n8cdUAugLnCCteS1n4dUCalLwVNAYfYSx26zUuKrni+pPh0fHlFuzSJwQvoaIub0lJmpGGOYX67m6XTragEAnLsMvhQrAH9V10kZILVXoMisgrxn97uEfsyv7dYn8mL8HLmpvPlV66NrrhY18cUvPaIpNc8tkjvh0/32y6P3FNab3y0PAwvwU/EhPi3IqmpXEDb3nDtOjPIV1GOuduFQjBGls+fdZGjXits39xoy2mK56CjfuB/6Gc6X+tMwXlUBs2bDjb6XQ22bFjR8mkSZPullI6nZoWNmfMmN2bunZN6bduHaOXLMkxCTG18VtvzQOO6rp+QQm8wVL0NgYUJV0IBwp0/y9d12usChTp6YEPsuhrKIgTIqECN2p1tEY5uEFAq0JTvmVH1GYOhe/FhImk8uSMu56fnJFhjbl8EHh/sNn+EiA5gGdcLmXOC2oVmgO0kDbbxaWk1PmXAVvKTp78zTNzZlMMOAZqVXtnXSgKXS5XOqpApJmu68exOrqjiiX6oXbkAmBnu1OEl1qOtD5iXYCaPM8EtRFQi3lS1/VnAr8bO8BZqOIjL7Dgnk27VxfHyE9QO6wGVVRWAsTnqi91MCP0dho1fjdJ5Bcul+tt1Er8Bl3XKzkmp6YloSaoQca9HQfG2t3u5VgdLTGe95l6+R3q5cey/iONJt9n0eqj0/uBFShqxroVyASZy+XaUung3wAAIABJREFU5cffoX/v/n5pkj6guUSeMvpUadJEOby77W63It9wigjUpPOTq3H696iq0YqxFohUVASnUrsXmFN0R1Upf+hqnP4eCp9bGbdqdTTNF7kP7Yraevex8IMx5aYympW0JrX4MplYXu8IsIoHX25Fi6P9gXbYZbXiExez2HJxrMBC0+e3sXXaZbJLTcc5Na0tQVAW4z4VPZ+zotAqDbtUMnBr+paiu0JZ3XeOHPBzdXnH4PFogbG4wC5vABCCBCDLhD/XV29uGnBHXlTxFWfE0bjdoVsosOQSX55I6+KO+9resS6BDrsTGOU7vzMUOFDv0ItSMrWG66YWmnG3H4L/hIoVdEbIDNSOM0dKkqqMQWvgY2GS3QGkX+wE7hixy72TIG5dpPgKFdH6VCJvwymuRD3jD7DLu4VAR6UBtknJhekhp/ADu8QI2Y24c3mtPr3McrsTOmyOItob629b3OlI25LUcFNEaSOKVMcP+WL8pvgjByf3XtZqVZO9puLQ8pfXlPcZaktd2y7szuJvS8vDhwnEAuAunnxSTtkc6X95xFRzm4eQB85wDHjsf8GRwn93mBcppTMjI6OpEKLkkksuKQwM6oi33pq5qWvXFOH3nx61dOnnJohFyrdL9uxBer0XqDHUwFIUCGHWmHcR6elXo1bi5UD3+DK5BQgp7PzOtmpyQJlR/phPe+b3vUrAIL/wHV+qt2iUYY25vGdBgf9hVchTIx1gdabrutwsZe7ryhGUAJfU1ZEa528FvKGNGzcx4BijUTRgF+R7arKwM6XrANrMP/EbVkcparIdjSp6Ovz6vWsON9oxnU7rn1/W+venU/CkPRPsSA0LUDIODP7R7nbPQ4XFpqMKUu597paWn/T6PlaGFqEHO1LDAoVlf4Wd5wfU+C0K4gUOfJwXFI/Z3e6zBh9xislv2iCkaIrkx3WthvoLTHkHgYfKQrwdNnY7zDu3r80yeWXJiaH1cvGktcWTNvHvOFIAH751JkykFKWYgBHBDs/IifdH8cj+hpGjdWraTqemdUXl7kHtogKMYAOhoihsLepbH1GjI1UWYMHPReXBfPhkL6yO8QYcLQ84FiPjHuhRYItpWa+fN6NbFEciD7A8fqlwJs8rcybPW0CLowFR8DqTsgSbQLyXH0LTJ3bCtN3UKvdXNbVBED1f5vGIALY5IAH4Hn3TQ3nucbjq5wF16EpgXNU3Z3VcIes5XtsSv6T0dOIHCagc7qATjXPivhtxivzerZaG+EKX5oRk+zbHrm27/LeipDMZYVV3K8Ei4GaqN+vEy+FkJCZgmkTukJKzqPc/UQjuCz7Y7nYfsLvdPQbdc+Bgy045YLBcfZyqbWge5nYCoTw8eznKkZ7gPMVpRRgcQEpcqDmtsxBUpb6EQMhbihLrt1eVdS5O4uptk/Jv9ozxD8seYWpffEnLElHSKL/JHvy2nw43OntXXqtzd5Jy+Mke37Tc2ak4tLwAeLio2doGxWXhlHnDB4vd7e9AhdzPMevRr0MsPjPA/ldJkFK2+F9xpPBfvjMNmMvl2oF6QcJtUo5HrbzzULu0cwYF2YdR/fsPjL/pJs4888xp7+nTd9rd7pU1sRS5XK4Q1ATu1nX9QlBvevqlSLnZ4sO8fOaRX/vvLGyT2yYiadus1nR4+SjJm/Jygc0oYuzFeNJKq5z/NFLOaHXkiJyVni6Sx4whe+HCTcW//TbgYoorQW30DYPV8UA/uN1ps1UbcrzI2B1AFb2YA+Fsp6Y9BDyNyheWA/OAh+xutw+rIwL1ct8KdCkPN8X88mEqTb/20NJ5xoOaZD8EvhaeiaNRu/YMoEltdIHBjE7V/X3cY43FkdTicwOWJMY1PhwGaqc1E5gV0ON0uVxW1Op8va7rF2VUCgptHgFaBvoXxGBUOYqhwtY3ovJgvYB6JaIId9QW9ke4kUj8MRFZE7/eXu9cg/IcIDndlb6JALmGqt7+W9Ypp9Ovju2O7iuSVxx5vsPztRJcODXtMpTT1ADCIr27Bo87mBoe6fsQu7zLYATz6boeLxArUAxLiyWyVvINnAa8YVPPT1gyInT7jBbXFzUKM/e6L1AYTiGKknGpddejjbKsBVOBHR9rqbehFkyXATRsmV/Yc2hGVES07y/LuAnEUOCb2DIKsz8nyiyZjV1Oq+v5lZmmJPVbFNK++9nbmjxZWIwqkDtHSOlJvKEdMaAgNTb2aMdR+M0fsnLgWU40i0Xl8PFL/EtK25h+89YvXb594Na9bTN7ohZro4w+xAEfhoT5risvNYP6Psbb3e5vAIRgPqr48AKICcA1GWLlikZcNeQEx79tIiuKb4TAimLtypaywhEG3bw4BDR1zkwdgIHtlxK+Lb7N//WqeaaSVqe8CFpK5HHj+LtRm4UZ2OWzxjX6otJlW6Q8z81N7/EJDPg5m3RbbkZm86gGnhiLSZookBai8J5GyPXrY1d6T0QcuFFKU2hYpNf3zfGRP310ZvpAEMukZLh4WiQA296y0uz28HASJ2bBnvZ+mp4Atfs+MfOWx7L/PeRFLOa//u78/7b/FWc6B0ibL+VrS9TKrhRIlTbboeDjVi1cODk0JeX17AULKP79d87Fxh6c/OyzTX0WSyjVsBS5XK5M1CR4XqrM6ui+v37IlIFPpAw/E2cRa588RNdDJQClvlCxZ/0i7VLhlTv6XN33kpr6K9LTAy9pEdDy8w8+mJx0992P5nz2GYXp6V4UIfSE2rB7Ij09FdhmhpAPgOZCvKrr+pS/NHDqHgOsPAN1XV8Z+N2oyHwaySMIwsN8Ef7OhT2KU0raRZnOBywKgK3rP0zt4YswFet9bRWOUCBaoKS0JNBaUrOAsdGP3zE0U6tzOoFQj6WE1R92TT2IojI0o3YF0+xu93yjnVqdclB7tYY2KxiMbt7RE5UbDIStAzdfhqpw/AZ425k8r3G5xb/I5BdtvaGSkkj/trhsyw2N5869DwVIH6vr+rv8DROICfhxfLPxG2K8MUdsuq1ObFFOTdOBD0C2tIT6SWpYfOLM0eiejefO/Qq4/OYeN0/JCs96BVXA0aLGxY7VoQH3k5h1Cz5zPXITADg2rJ48PKqh6Djz8OKkrQVP4Ek7YvS3J6pArARoKJG5Rn8UjaOQ7cwWia/ctB6lClPruxE0DknASSBk2Vpm3XSC6cA07PIv46SdmnZ9SJjPWV5qjpBIuXSiR/5w11nKw2UXhIxAwZncUnJ+IW11RKGiLsOBLiCjQYDJB35zpnHPC4BvRVbaN/ReOwSXDoKjQErV8S1935y3Y501fN/vSYEw7yFgzIhd7k0oGkwvKndacZ5ADLb4+e5fHvh+DU9E3SafqzRGgu9RO8x7pKxSLOQUp4B47DLCGINhEjlPIBrlxXvZFtHhTJ9T+9tVpHecCg9LUBjcuMYB8Lf6Lva7BweHHusH9AJZDwRS+Pnl8iNs7XS8fI/j0W1vF13azYu5ghmq7APTNRkHYn787ceGfm+Z2XSgqBNLMh/07y7qkSglueJpYV7fhILGFsJTTLfDiCWQaX1cNjgzE+CLB2/I6Ze6Ji5hbM54KSsqr/8n7H/FmXY/LeWvo0EWG6w80ma7IPxjhFFL/EVF+w9On1768vjxHQ+kpDD6k09O9N20aaDd7d5V5fgVwNVdHtk/N+ZwyZVA+1KLCL32seas7RDFu/NPZN/lyl1GEHWby+U6B4TWRNMn0tMHocIxXqCztNl2AaSnp3t92dkFZ554IgRV2l6GKsL5d2DnFdRGfdSHFxkN938nxFzgb/HsulyuwSje0gW6rit6scDkCVf78accCzto/jPqdwosucR44/xNS1qt7lzU497A5OlyubaiMHDRuq4XGkUmJ1E52NESubAO/QjwEI/Tdb2y9iTiRhRuMxuVJy2vptjFA0xqPHfuI6idYLSu69Xu8AOAdFTF5y0SeV7n1KCg3D+6YVrG4HpxPcbtIfxsOaj36hiqSGt+VeYso9099Y+Etpt2b7Oc5IzQeECa69ff0ODJJ68Evtd1fcjFxqGaNtuieKP9K9eu9ITK0Pp/lZjiz3HWV3M94Q8e3xsLIGMGDz4QO3hwm0mXTvL/Gf+nDzXRnwwagyRU3vsG1O5WLSbNXuj0J+TFbuBQ60ddyzo1QjGWvaXreprR3wjU2MYA/SVyddX+ZM6OOL5nU70mJ/ap/qByyaPsbnetYV+B2ItSN5omnZhRkYlx2KtIrNXVnOLrA9vihy09kOBvvjfCVBbml6Glpo+AcSN2ubeAP3VR9KpH7gjf/y8MspSgswtofDyTGz9vSf0z0xiXX8mhi89v7MUVG3/Ba4GmJxpVGz53imIgxzkztTdq5x7gOnY/feijvftKut4IPCulIl8PLCYivYTu/xbRqJjx2Cvr4ApBfVQRUZaUlfoLTnEWCMEuK2ggBeKbljvCh942oRfa2TNIiU8InMA4+/Rdj6NoU2/HLpdgdXQFxmf5wwZ7MTVoYKqg9i0jovBw0ajF7TpMPuA/Zi0B6ISQx1Eh9CIC/MFOYQc+Li0WL37+aodGxb7IERHmInG0pF1Z8/C9Y+1u94c4xclXU2g4pReCp2fAq2NcMre5DaB4QcSBs4VJrZpOPHG22t33f7H9V+dMA2aTMnsKIDF0HKtxpFCB/cv2R0Q0vffVV+P3tmnD8G+/zem7aVMTwO3UtLUr2vRtG8gBdZx5uA9AWWLI/cAlXkFuj+dbFq/uFI3PxLy7lo1Mqoa6bQeKpq9+1euL9PTLUGX7EhgYcKQAQohjlqSkmPiRI6OpBd9o4GZ3ohzuM/k22zzUC9v2bw7fD0gpwzNKhwVhHneinGkrE6aMFqVtPrTlXNsfWJRvyZW7orcMcCbP2+zUtAAN4s/Gv7ca/y5FOdKv6+JIDfvQ+Pe64B8Foj4qVO4H+khkOVRQFN6KItb4EZXf+SRnyZJAJXVtZO7foxypU1rnfIfVcR9Wx+pgCsr6rnNxACcHJR5COWwLnrQUPGn31OBI5wLtzrQo2/DAqv0JqOK1TN+ZM1d6MzMpP326v7EAqLMFSC5QO/BRoTL0F4IoCutql+hZx3rffALtX5lOILvQ5WoDcN26y02xHvM90jonE6vjziDYThZKOKErqvJYwXZmP+xg9AKY/MYsPGnrOI8ztgVdLh3lSF+vzpECJDct8fcZfqIcg8YRBe067dS0z2oaI4GYj3rH10vkbFQuHRQb1t+16I3X5/DYF4dN783IOBRaaioE7gzxhxZtbTKu2fGEBdwRvv8lzpOluFGEFi3wpMXw7xcX0/ogxBRUIkIXCDM3ffkNVg8M/RaErAleYwaKjZxmT9QicCegzUgZdeOoBjNlrNnzcBABwgYgbKqbdY2Kq793KTmDWpxYhbhAdjIUtUgP9PNuYOihTiUZz69fOXfmkQ/I8yX6MOA8f3yZcoPc0RGemfGcUQ+xGbi7nqk02e1N9N6T35e3i1NvxZMWVjJ7Wtq99+zkeL0SEwbJhZTkoyrxY1BQITAoDcMipMfudo8s9kclOE8/5E2wZIYCC52adtJVEJYwvRuCQoqZPRnyG+viwWZTACLCSkKlFBJIEoJ7axjX/0r7287U4E3cIYTYJoTYbPz2lBDipPHbNiHEBVjIv3yd9PQkYMtp4HnwpwtRrYJJwHxSbneolXYT4KtPnG0SOxRe+mRceWIx0DvPkrN3V+TWueWU6XG7Cr34JIfs9Y/sbRASHfJZxxPbUyIigO/9/freX8MlAuLRlfJPIj29KSoMZAZGSZutqszZRsAU1atXn5rwjR917HgfylnXAz6UNtuTxrkBnt26caUqjOudWB0r9Jt3nE3cnC+Eci4BzOOPVMY83hV75vHVdrd7FOq4rzHwiE5NO5m9aFEA53W9QIwEbkJVyN5Qp/5QSZe0KpvSBmMMHqkOpmB3uz12t/taVNHNuuKtW2MB8tPTXzfCipXMUm4a325f/YEznx1S5Le+2c+433koCIUZ9YweKmoaXg/gxPXJhXjSPq8W62iYQAxChYJzUbJh2N3upXa3uwEwrvzkSb8pOjocIc45Ne392nRnq9g3BJFcYLAqUXeSjIDFA1xqy1ppd7vrvT953+7i7FNccaQzC3pf9uHBsD1lfvwLUbnTcBRk6VGgHp60RDxpg/CkfUyIL+DoPFAhEVeBWxWIp1D6wG6JfLCW/oQD5Xa3+1O7210fNXb5qPDpOaemvRc8Rsb4jkONb6AwKMAu9LeJyFcn03iKFsp1P3QqWTH5qdzbMseF9Mm5hkh/tGlX7Pro363v8Yo5nzeKU0cbZCkd8aRNC1KeCaQSqvbhO6Ae+TFfsL2zhBrJ7wMC6QDY3e6tdre7E2ATgoNXJzjFq60HR8xoccdB6/HQBahCxl9muNl9kXsfg1qwVw1/h6BSYIE0zNuoCNm/kJYH9hVdXr7s0Meiz7lrj1yVfX3IZemTO4j3xuHPTmwlFRPrd6hFYuiAvBuGvl+qcV9hv4cA+vXnCWcL6J3JkSokF/eiUimPG4uCROP3bIC0fem532ff/fiDB1awLmfoaYlsdOLNlhHjHm3E3bMbTCRp99tIC/w0+2XxtHgHCGsQd7rEuL9/lPlICPGBECLT4IgP/PaP+ay/zXNqWN9qWPdfk1K+XO3Rf9FEenoYarUYcyvs6iJEKkrz01XTOROh0S7gqozSwpWT93cEyi8rvMJ8WSF4LKe8m2PWi23Rm8zbojb5EfzQSDiuLWoekdh9TrslqAKKrdRO/PAhyvldi8EOI9LTY1BECuHAo9Jm+7ia85YCduN/LiNfOs4oBnofGL5s6NB5AI0zMnaesNvvCjr3RxQ8ZSQ1fbhWh456sXUUiLoC8xia683J7hYbv21Giys6TxyysZZ7w8inXO/UtIaoIpf+xRs3vuEbNgxvmLgSBRnx8ff0SQ8DbV0ul1nXdZ9AvIeaqF0S+epF+nUU6OPUtFRfXt5OS0JCNLDRqWnbOhR2fvKywl5X50eWDD4a80yLxmfiQe3sQ1F5zx+AuXjSKnLsDYC9CkPbprbrCkQCaocmgQESWanQzO52v5O+Zk0PYTKNsTRpUu49fnwMcIdT0xyoEH61WEKBGMuF1ZVfGv/aautTNRZPYSS8f891B1996oX5TG7gHRRGZs/2+Ajn17g1bPX/4gv3R76fZzl3X9W0QpAFnGnwN70NGDAkY8gwGjEDlSe9GL1hKJznn7W73fOdmvY2Krf8BIrkf6RT0+Y8uuzALDpUjG//oPENhCr/WkWwwfmcF108KkKb1O7ElhRCyy3hqG87u0lZyuoG2Y2dn1k/6FVkzhvXMGmxuTRh2ftOrSTe7nZXFae+oA8CMR610z5OQs7NqG9zoBDcKWVF9CVgJqohhrG73S6g9bx2vYcfKu742WUxa1Oeuy0l5adbz3mb7wq/kT7HA0xa1TpTKTklBD8BVwnBSCkrKrjNQImRhtmIH/PDjn6vvPTsDS9Sz9G7TJpCQoUfWda8BUIWeVJ+Nx0oPxZ+rDQbv/CFA6vtbvdSAAnLhcoF9xA/9Z9o6k+fAafgi7XMq4hPqb7kC8EXqIXSA5yPKAT3/cUSf9T0+RkvWD/d+OaRgUtjWgz5KBHhNb1nixnrnmRZVXzOPTyCIWPv3VdW4GsT4i1ARUAGCcFdUrKwunH4G7YQJfX3UZXf/xGf9V8b5jX0S7ej+DWdY4V4wvjThSoCVkcSVsf0xyZ9lrkL2l0lYd7GvCjURF1B3WY9NTNk0D6XBbgfQT5wS6HLFbXC749FEY8fA7pJm61GJ6Hr+knUavNSo59mlMNPAOZJm62mVWog/Nsn+Ee7211od7tvu/uVV77/duBAbBs2MHvmzI5OTTtmSIjB+Yd/PpxkdbTE6ngZq8ON1VGOevlGoMKv+1H5WA1PWuTpAYkPA+ReEnN9TfdV1exu9ym72z0A5Wx+LdmzB0u5SBj9dANLjx9iZ0rkoYu1UY0FGJ2uFYhhGMopKEq5uvZrlyUi+lBEakeSyxqVCCk674/Y+fX2qF8nlInSFpsuP8LGrofXAzY8aSF40lLxpD0c7EiDbDsQ7nK5LoBTBdkG1CLpCYm8IPwLIEymTwCSp05dhtotSOAhFFPXE1Xp9wSiNUqGzQtcEViUBCgKqZnB6LxZHTFYHQ9idWzg8ZkTmD4LDra5ITkrusGBlpmUUXrcHx1K1BtP3AC8UWYq9edZzo0F8owFXHUWcKbB0KbvAYrNxZ+hnt11gYKjWqxSuBEqlJheQEVkAmmOKQ9Obua5ZF1UuPDyhET+cZG+XGhWh8Dq6IfV4QzmfI4tiNDDisI5OnAtqFx9Ip60JDxp11o8Dy2279o5QQhifssbkBciykzAawY9X7DCU8CZZkHFc5uDWij0Mp7baKrbJZ5nMaqxcn/83nVLXy556tMnnjVztG0ZN7xttXRZF3Pytx8a9PGrJVhmLXceuO6LQb+ZORfne3nG9fvfm2xvkNPqRfnSszdMQTm6emb8e0bl9fc3yB5dbMqaGJ38wKKNPR9yIU3li4AI4NUqbFsTiMqHTjvfCPEjF2+EGF+1Dv5eVJpmBtVEFIwCqxcYsdh8rllxiwbXZsqhdx/MAHaaBNobba6JuN36OvFfzC3I82P+tZQYurzzQLXj+h+YlHItxo75/8L+E2cqgZVCiD+EEGODfk8TQvxpbKkTajq5DrYGFfZYJ222EZyXM+sTFMZcjtWRDWT9cFn0cy9eZ7X22FckH88u950alFRE9dRtlfCN671e/4tC0P7kSeb9+99ffjxhgr8OfdsPJM5TO+fNKMzld9Jmqyk0jMG044ELNRVFevprJeHhQ4FTg376qZVQuMCmwI9OTdt78v77m+OXxSF53m5YHRuwOgpQjC9TgFTUi/sZytmG4ElrhydtchDmMQCpqQu2rpIF8j0be5/OMMfEcPXa9kx6pMkMp6b9+jcoCp0A+eb8kUZ//YAeyJPWaOp5j8Tq+BGrI7vNuxmtCDHTK+qW8IHZNxbE+OJL3FFb+KLBItbFrTh9+PjyG/Gk1Ri9CLLvjH+rxa0KhCJeh00SObOWdn4G/MJkusLudk9DOYK3UWG3Z4Acp6ZNMNoUnM+T3lUBUzhv21AOvkWVMRBYHTdhdXyD1eFBQcNeBa7A7EUOXM51i+cWJO6byjWfzbsje0DDuwBEeNjNdrf7AaNPH6ImzVeMSbOq3mU0AHYZ7AAW+fHTqrBVGIo3eCUXNwtGuLGqGU51KhDtuu6cGxBT72vO4ktTHwmMUaW+VDf5nSfM3001hPmz01b9ad39KHPefbGszVVfluJJm10d65jd7S5+48Qb14/bu46dBT1yCUptODVtGEEO3chvb+D8czsJapdoXL++IYIdsEDxTO1wqZONLz104w5mFb1Q6pOmB4GiA1sTG3/3dmucz3eY4dS0arGoUnISWB2Ot8FnsT86sTp+48V/C556rs2Uef1b3fp1F2ILwjNQ31w/PGkh5qy0DovKOizIlFERwLNAlMkMt+/cHUjvfIVBh+jUtIwPO6WG8PnNXqwekbYx/rf6SlTtAmcqJbnGufELXKM6Gz9XPq4kdCvz74O1VzJ7KzK2XnluRcgb38FrkxbyknBE+zYky+P5JhPDxv1BWM5GIFmIyim1/wP7R3zW367mFUI0klJmCCGSUZR3E1HUVFkoR/ss0FBKeVGBWqM9OypG3oynnipCVcvuA9pLm01idei/zmm7QlpEWM/xeyVBYcxPe8WcHjG5WYoUFPtNolW6EN9xkYpPAJGePhIpP2olBM+tWuX3f/VVICxTCd9Y1Vwu1+vA5Huk3H5A7VC3AJfXtqM1zvsRFSJqp+v6PqMPAXagCtwswJLUS1Ij/BHfFpkKW4Kg2Y1j8ffRuGLULsw+8lBO/FPgw6oY1xqunQNYdF2PvtixVU0g7E0Lm368aPMiSjOOL896blYbzu+eVqPgDxeliwvgO/+I/8M35dIpIcC/JfKlag+2OnqjVrx9qRy2LslpH3ls+3Ot2poLvZ9deW3/WwVibPPdYW+Pfqahv82fkSaUk/4cxRJU42QWhFvdoOv6lcF/E4gAlWM+UF8ii6tpIritk0BysFydQVH4LqpwywRkOWafOLZxSF4XYJlEXkAaUYkt6uYd36Pyjf2pBbbDGxMXvNKeqx5WPEHLJHJ4TVhaAwO5EFUIJlC57wl2t/sLnGI70Am7rFhkC8T0uVvmPhfljfKP6j6qJpKByuYUXuAQdllj0ZxAXA2ssJSI/Pd7tFtu8Zpu4nzV9gP26bumAF2wS4HVEYd6F25EfW/B1JanUCw+7wOrhGfiVagCnbySTygPk4Rhl7UWhikoCK36xX/a/+5Gz0zHYJqKiCkvuWLYifD6jxUJgfgOGAwslchbqpzfFCXldkZKGhpjoKGKjT7BLqvV5BSI14HJ/Nw3iwGr6wGPfpyqze561akTB7cnNMrJDAcVVn8FeMLudksDC30bcEeZNPXyI+LChQ+QlLfZz6vD9vGtbZ/vjDU/dX8rzwXsU4aKTAFQ5l8sDgtBavDzNtI7H6FSGmwYmsvn5XamZIgz/x76Un2gN3a5vpp2E4Cszs23+Lc+39WCgugERCsSgAwKI8Npu4/i51sRHlL6B3ZZQarfO/7LxV1j0kd0j/0JS6iPX+sVMq+d9BW/ddwMHh/UN8F/zohUVTBcCFGfv+mzLmj7n4DGCCGeAgqC4861qZxXc74dNelEcs89YLdjysmTK8atWz5AtmiOqvKzHLvByuERDeg+bvfhiLPe74F5YmnHJqiiIC9wmbTZ3C6XazaKL/MeXdcvIG4GEOnp/YCfAN+n4E+WMjcjLe0rasA3BpvL5bp8hZS/z1L/9xiKK/eiyvAul2s8Krz3vK7r00V6+nDUDq0UaC+H70ziPOaxOWAqNBWwPXqTPN0rRiTdew85b39wqHD75n51xe4FXXsdcCVqwq9zHspQbzmMH9PqdatNJkwHdV2IWAzJAAAgAElEQVRvY6zc56Fk3yQqjH2X3e2ulXd40W+LCizSEmXvYV8nkedD3lZHC85TM7aFCnJuPyrXugIFWdlhOAofcMim264B9hh9aPmxljoYlVeOM45ZiHIW1S44qsOtCkQcysn8P+bePLqp6gv7/5yk6Vw6pkAZywwBREAEQVJBBBVHUDCoqDgBQUWcB3BWFAcwgIAiKERU9KsgDoDQyKAyyHiZhzJD01I6j8n5/XFuaJqmA77ven/utVx1kXvPvffk5uyz936eZ4cBvSWyVhUefZwfUA6qp9Vq9U9X+iQKF3qM8kajR7DnikJPu38ib7l3556qrQLNjsbFZtOkTTPbT0r5JVu2/fyMbwNRK23HuUEcGt2H1hWGquIZtfWj9V809X86et19R0KTmpQ0wiZD9HnoAWx+8sCT3HTmJiEQcVartW4FLiU7txOb7Bbs42DzGyjjmJwkPT0bNjLErb39PFSRz8sFtqKyLV/4byQDxu0lnawByrHJKvJ71e5H4Ns4bZGSK3zyfKDk+c41LT/92hcZKRcaVpwCmgXDCgiBT+pypJR8jVP4xA/mYJOPVjseMQD1feYzYXprHI+dwUcxWSx2e710WPJ2p4+BcVGeGFPj0mYV7Yu7FMR6EmLx21iuKGtR7ijuGpOYuntS8aqh7//YFDwGHpbIGjnPQjAfuH//tLY57RofisEmq70fPVbHPNR+e+TcwYsTMJSGkBXdjkceWEZkg4oaJSKF4Efg5j9e7sfVHTZcFF0QiL1AByoMLxlCS1/wLDJFlpaHrgsbXdrf71wB5B99zRy1+/dYT547zOhFsqz4Jr4/+gYeRqNA//9nWr21+aVL8VnB7F+leYUQUUKIGN//o1CCu4VQrXZ0uw21M6uPvQVE3jt5GthsRJV4OTvxpLhWtryeyjTmt/mtwmcCbJrT0YnbPkF829mEqun4qCg+NKivxhi0RijS0y1UonJvbCjEEWEwJDWZNWssKs3xDSrFM9tpsWTqwuwXLU3Kwe8CbdUi17k+jlQ33wswSKSn9xNeuSSi1Cu3TTp4TN6xez86NB3lSI8B86K80VdcdfgHgzEudiyASGzQCjjqtFh+cVos5qBXCW5BUci12UUgA5gwMM6A4ax+b9g0bZlN05pQ2X3jZsDttFi+rEmiUCCuX954eVRKSQq/fO2cgtnxBGbHOj1tfRRFFbLo432HqmOH4La3wW0fj9u+C5TMInBGIltQmTJ9QCJP6JufeBRatRQ1n3lOi2VaDSmzfUCs3sjdZ7466ev1caS6+cBD1ZC4Nk3LHqXteezRdfs9yx/Ikh03RxpDPOInZyfLoUPNxk31o+2cjnCXT4o5UkxupyhQG5Q7gdCaaDsC0WpCT1rrVIqrAhZ6Xz/angSYXhMfhMow/AWkrlqY2mTjjykGp8XSQyDCUIu9aFrU9BudvXFX4Dg1mKD2jky++X3NN7+2zLGtbZljz93mHn2qU+HlnM80GX/ZnSnWN1iZcN7oPoBKl6fgtsfhtg/EbZ8XJCPjG/cVvb7tUzmr1aRkNYrX3VMIOvnk+QaNPno8vHEJSWdMKR8OacOnV7R3L7Z0qqme7YtmfEC6KlJ9/qY7/Z9Q69Z18uPH3PhTTPKjYgw7LsOWOfbauzIf5Zbsu+lVYA0xydC4jLCD8ljo4bVAV9z2iKF5N3X9tbwFvz7885vfN4f7jnCyNkeq23igIiOrZVwwsX2BMP9zbYHjq6cyvb/cnT08p9x8zFx4gOWz2/DV2x2+0vWQg85BQnQ2r/9vMn6O9GOgA/CXDPG82TThxGwA58a7WvqfKCVSiIppTVpcoLRb12xgYpn0ylsjfmJWpwHMurGUSKWI/n+1v+n/gc+qZv+2ZtoQWC+E2IHSCl0hpfwVeFeny+xEpedqg8/7W3OAb6yXEwJ8/OYcdhZu4pH8rySqXVNj3PY7s/rEvagfP0inovyFqs9UoaJYrVYNBRKotoiI9PTG+j2bgAdlWtpKVI1SADfVxG/0AYJEevpo4I1kFPw0XYiCwGvUZNbhu0qMBRUlhe6y7i0yy9bFFnkNm587LLodL22HSvMuo5Lz2Aq3/WHf4nmLw/EJUBE9eLCvvVed3L0A820wbqzv/aKI5s2AX/T2SlsAk8vl6uI7wKZpC22aloT6rotQziTXabE4/J1XypkG8T23Nfux229KH+DyryrWoGQh+6E2JS4U9zUSt70Rbvtw3PYVtVBWtghESGJpYkPgO4n0IRoDwS4+QNAklFN9MQAQtFr/OxJAID5EOfTNEjmF+ptP67laizhfz8eiGK+xqanzBzdk3/lri+K25QaMrbfErHtmc/S6awoN+SZ02k5Bi/DthakRwrW0yyjc9m9x22tCBAtgQ64JnBvwBlGhqrMfrU3Tjtg0rQ/QrVmHvIpje2IFsGXSuGZZ0TnGWGBO99zur+iH31znLFRt4xbsnj8ELElZkduk+WMTZscOf83nCBmZ0q2w99GhPRKKW3UqlMfDD4tfE5e2cybPvsWZPLtGEr+eMrUAmyTS10whBD9qSh3mq9d+7vuHhKYlhk++PMqknw5REOfJjCgydgMOOi2W3/XI/qJJyTHUO5wiBMOojKaDZWrWo2rXr0vkX5gdUZkJ8/55N3I9O+Oc78mX32rGggcNgEUgzgPf5xlyRv6Q8OX3G2NXiw1xK69xJs9e6bRYbpeSDIZ9u++8fV74jadg1mZqpQ7q91oMfAVCZBckBOtNuxEFIntuyaTM7x47uKZl6eVdypt1yMfrMXQH9jstljV6Awb/cbPHDpxVsGr3dQjBQ3oq344qlQwA2PueZSHAliM9mwQ2Ls/4qNX7ppAKDu/vYb71rP2ytLMjRb8Lg2laLog/cpDefXr5Dv1X/U2FEF+hgoP2QoiTQogx/HufVX38/4ICkhAiA2jxzvS5RHZtS+KkScjiYrIrKiqSTKbrLnbHAFwuV16JlGKIcpbxKCpKNQSty+U6ALTBr82WSE+PQkV8icAUmZb2mn6sr1tCtfZtToulBToa+IzZzEvPPktZaKhnptH4S0chhgIDrVZrUPI6ZodACY4/AFwNNNp9b0NGDE3icIVkzpxTh0e7cmcCn+K216nr6q+ze2rcuIdQSL56pTP184uBQqvVWqeyiECMQKXS3CjJOI/L5fJ10JlmtVqfDjxHd1JTUBSIcCENZe2LuuzuVtg7Pq9BSWpcXiTSAOu/tBC3q6CkyzvHPkClLevVAcbfxh0a99mIUyMe+Kj1RwU/NP2hQW00HafFYkKhMMegFthc4EWbps10uVydUGjsFWnWtPdRqbkCILmuOmmguVyu80B4lXZ1ZkenaWN/X55wIbLVsOXdZGxBhG/xqrhgyD6xIXZ1g9yQ84l64u5PwOYnUVhNLcrfBOJ/wK1PaRS/twMjNlllcfIpggE7rVZrMOHyquYUFy5khho+/7VZmflUaGJFiCS0zOACRjWZNesIkGO1WhvVMUYrFDjue2xymN88RDhv3/L2gVaZjw9e25HeW1tSqVWAW3/2hcD/cNslTnEeMDrf7DRI//cO+rEbgVE2Tcvwm4fKlKl/fdspPMA+bNJS57MDQnAUaAl0lJJ9z+8WJe90Jgz4XiKH1VXaEIKWqAzLSblYzEZhLx7GVhkpCsQ0JJMGrW1/aOUIu4ZSXjIDeCX8VdGIbgO/9UZ2+aeMmY8n4bZXwXzoOuRfoiPgy0K9J57/NiMlOyrGeGaDm8Qy3sImX6QOE4Kov1/rVVDhMcq+r/5p9EkaCoSvo1KVMszRj1KPxkfltLROXL7r2RaPJqBwDBIVYY/2zUHupw1OtHnycNOs4rhsykOjCCyV6Onve2cv5Mv1986Vkkd0VbJHCCu+g7jcDpxTr5hXetlw2RE+G/MngwqOcPcjFzFNx6SULet6xv/X9l+hxrwAFG3b+DtdheCPTp04XFzsTQwJCaFqdww8Uu55R0UcdVFRAhtrG1GCCInAZz5HqtsfqOioT+AgNk07ZtO0/s6bb77llaeekiaPh6lvvGFMmj69k++QKieYHR0wOz7G7NiPcvi/oEPTS0LYO9waX75PCPqaDKtGL72nDW77h/VxpAHPNMimaXP1OXiO+qUzQaGQE+vqXiMQPo6pT5XIFxn5tI2DooJtmWMb2TLHipGZD++7Mi/NE+2JCd0XtaP7bwnfpf7c8y/eHb86U3jp4w0znD/fs4HEbX/x3zhSgWg5N3Xu6BJDCQ8fffh4XXxXm6aV2zTtURQJ/ytUOs3htFgyT40b1w0o9+DpSWXqbfClOlLddiJlREH3eW9jdmzC7CgCtKdmD2x1x7LLfejKxei0nbhzU1rdeGBdEoKBKDH+PsDRs6++6gND3RL8MiAQo1FljLPv7KAAhRmoYj5FMOrg0vpZaFZqWdmTvx5OeOnrI+UGD2dQvOUTpYcPl0kpk10uV10gJCVx5yUPs+NGzI6lmB1nJbLI9n3Px1/+YAid9zUuFogNqCigAW57Mm77Lbjt3/tlIkKBMpumbbJpWkeU8ziGcj5HnRbLb06LpWG1lGnV7y0oz7MWs+t/5wvEA+91Iuyas0hUtqjO0oaUZKDAUE1X7x7gy4opNLLZcfk/1zy7fNEj907K7PAWK0fY26C+3zhUavGdpaWtLX1zh3sP99IMtDtUGOhI9Xs4Z9O061A9af8UkmZTh6Uap9zbqSIiK4TvN93WOPCcYCYlhS3NGZ5zuY0EauOGQNyIcqS5BNDVUpMzSiu8IewsvLrzqD1aHxQCPhvFyc9yWiyLnBZLRGxkfugTQz7yUGFK5O9eVVL5uiXhMdA8z+B5JeLvhzxJF1XJXqY0vAPx51nayCgvyxlRETrj+S/7r57Owf6bGBl10ZEWofzFf87+E85ULyY/tHr16hNSSrr17Vs6JSPjHiFEN5QDtABbFlksm8aXlbVKBzqBVhsVhUo6iI9ivBGlorNSpqU96H+gXoM7TQ3pA5Ge3njF4MFfFURHi9ZHj76Rkpm5v+zgwVbewkJK9x8Yld1o8jt+i+de1I+yLQppuAhIE992Do34qrNhf4MQ0+PAZBEsu1Kn+ZzZSLiYzpxK/dKZoOhGoC8OQZ9VpQ43otLgj0vkPt9nOjL6Aj5pQ7MjDLNjDGbHasyOC6g5nGzA2K11SccL15+/45cKc4Odh1POwO79pCw9YHImz/YJ0Ee4XK5mlzoBvjqux+gxlhnKiiK9kS3re67O6bWhFvwVqBT+4uJdu0Q5pQ2FFJHA2xJZY3/bamZ2GDE7RmF2/NJx2rErEIKyBNNzwBVlIRXlrz/5q+z70wee7r9PbS/cE5ritt8dSNuxadoam6alor6Xs55z5/pWZGZSfuZMUIlCgWiB0i32AH2NQXidfraDes51uSBkeH/iAXGsU+mwe3fuTUFfNIvWr48WQojsuXN/11HKwebCwocTX2bxKHjm/dEoJzcMSFhy29bSYfM/pYvr7Y9jMp6KxG3vh9v+US0bySr0GpumrbZpWktUDfkcCqdx+p63Gh4LKRMRwBsSWdkBph48z0CTkhXAceLO98FjmNuwBJwbyA7crNVW2ogPOfcAwLrtgwahWeClN97G7CgB/um+u9nQwWs7YqownkNlkvroyktdcNufvzP/+j3ADyA4dT6lVkEdm6YduVvbm/HEqkPs716Yn3o6M2T57DZoq6PuqaWmWcWSYrJkhScE4AVxLjkRhVOQwDWB4iRARFRYoQe1mZ9v07QvbZpmBh5HzfEoIHf/5vjYqEdmVJCYBZOmVUjkKzqtawhmxze89OanPP8Ob5y+YHw5crM44Y2JRC9v8OLrIxg7m+PdDmzZGU+I53rT3XjxzFhOuf4NHOM/3Cj8P+FMQTnUrKys5kKIoo4dO5ZIKZ02Tdth07SuKKGDwz8PHHjFvtBQ83BgRklJXTJjq1AvxlUiPf1/KBm0XeiRahD7C6WL2sv/H/XU8C5U4XvKttfEK7bMsa+nnb9hizh6FkNsg/A18cuf3R259YpSUVqKQp3eB4ThtjfDbb9HXzzTUbzZP24RohSCNN+t237Vn6kKjUN3qv78xlCU9mpOAHfPV1e8vZZrfI5Kda2USEeVT8wOEZZZdhIpI8tazjqLSiF+iqJumFBz+DQQh9ueZHI/edfo9L/aPfnLIelOKUs3SBEHfHb+s898zZ7/DX9sKaqevaxBRYPNKJnFeu3Gfab3LB2KAlO5inZtDwknkrcm9S1fbOm0oq7zMTv6YXZ8gdlxApV9WAQMid9RYMQrOToyOcMdX5AcdmZiweTnV4iNVx59JBhNIch9fWfTtMbAg+WnTnmNMTFhukThfJ/8nt9mJwR4RBfPuCgjF8R+1v/WOdeTu2LaEY8B+Ewil+v3pBZNg8EBYIiOtqJ4s7MyG7/QELPjRcyOzRc1nzNa3cDuLhCTl6/PS3/hnjDDNndh2Pc37fhnT4cztTfkrrQQ1PsVOEc+GceHc8zl5UMWJ8bOtLZlsaVT0wAZx/rxPAPNVDqB+Q8AGJ0b8DQqrTmy1RWTYoFXhVd4Essbjk9PeXr/saT35ctboqOZ+yjkN2gLFMy9Z0Pe5b9PJWXXS2/HHX6mEW77/bjtwdq/PdggIpetR7vXTudRZZi7Lpgr3G99fjy+//ATS1p0yiPVuy3EK8V+p8WSHljTDDSDkIamiSfygBjyYveiUrIvSeS2IIeHRYSWlKI2MgOFoIk+BzP0OZgCeLaubBxWPiM57LrBz3lHbk4OOZ6w4Cz+GbqSsGh6bKWi885V5vNjSlNzRntFlj0Nt/1Dkt2RAA9d5/iVxaMgokRQEHN3j1jOhBgo/6/3N/1P1Ez9zeVy/YNyNFU4oiI9fRYwttP+/Z4PGzQwytxcsj/+eDl++fogY536WcpG76pNwykgVaalBRUIcLlcI1EpQIfVap2gX9OISo2mPrj6/KF5c06HoTR/BcDREcne43c0NOQ881pRUcHZSGrgN4r0dCcKCbkf6JguhC/aDtX1Ty9lfs4AiVarNbSmY4LwGxV3T9OcLperAjhjtVqrRSoCMQzlrLJRtScPZkcHVIeRIUCb85dFG3e9nIrlzaPepG0FB1E/ktm47dU5bYjd+nNOkcjXfHQMERZ2beNp0yj6+++SC4sW3eBfE6/N9NTmAtQPunG6K/0ZFA3mOavV+q+UUgTC2uFUi/RPDi0kZ/FiijZsABXN3WPTtF0AmB0tUOCoG6mbtlMIlKZZ035HRZrLJbJu4E6AuVyuT4Ex595+u6TixIlw1II08+7te5pJE8OqjOsUZcAZbLKakpPekOEssM5qtfYP/NxvHp4Ukvf7Z1Ka3lCGB37ucrmElLJCHDtXnP32tIgSY5GhQUU8lxVcSZOyFhgw5ACbGPxzFkN+HYVBTsQmPxIIHx6hEPVO1S9SVPSa3dhk0FaHAmHFS3qPNdFlTzzRrMKgsgrlwEzgKduLezqhNK1r5HnWMO5SYBjPTKWi6/Neo8F7EJvsUO1AhYcYCDwIXC2RKb4a8PkQN5lRJ2k4cAvxJY3aiIUrH0ZR9bZJZPdqYwVY0eeRcsEf9zF+waxxUjI7yD02RkVpRsAikftwis+AB658ci3Xhc/3dIzaakRtvFegOvZUXyOdQpZVmLaFpc/uxvwHBZKNUsjgUpFOkQMIMUpOQIEZV0qpGtDr85Hojs177JfeayZH7syjzFNIYnkybfOvolVF41Ood2Ae0ycMRaH2h4tRsg8qk+aQkgk4xZPA+72vY+/fSXTkkU9g7iMz5WIxHIjBJoNnRP4j9p+JTP3M16HkIh1FpKc/h+Jf5uxp3z7eGBZ2KrRVKxCiSr4+cKBvpcz5AAwmBSix1ORIdavURTU7WmB2TB3+Z24+kPrW4rPMm3O6DQp4cBj1g+18/I6GYwHi3508gxrEvEV6+lSUIz0HXKYLO/jSfPWW9/MzH6K2RlBFTelMp8VywpOfnwWk6FzNi6Z3b3FGFJm8/1zzzOfS/PEGv7T14ygnci7idMkPSIn2Qst1uO0dcNsn1uBIfejKv33oSh8dQ5aWtvZcuOANMZvDUTVxzVcTr8kCUps+Ckh1mcVLMIGIAlbsa3wMDx4Ze9ttJ4G9SC5Dip1/tL4xtzj53QJUPfMZ6kHbAQ548cYbPcbhqO+8xrpnHeaEixKFb6Ec9xNvjkgd1u/HBgUPv5DiP24VQXV/s1qt51CpyC7BPtfnoQuS99rnwdfr2V7lQ7PDitmxyDp81/GkTXmG8IiEqNuy7zVcmZfmKRUlcl3crywxzy1yJs9+25k8+3pu+OUIBgmQLRAxqMhYAkPq7Uh9t1VDivbiuAbk1msLBhqkiEZtqrwofdj81YuaT9LjhLz6X1Bv4pAdf4H3nqa8wmTAf17NjnaYHR9hduxDOe5VqA1rQ7193PQLhvOdf01YunBnzEZ+WV/BvN2ndrbZHv6M/ix1NrQHiAgtpqwiFJSIQOA9VtLVqpZhGgBkyaY73jj2hdGVc8u7qE3xUNQaubjKGqmnwTc3KjfyyVjBun4Ql/M/arZQoEzXAXYb8A7aHb94vE+VDMgy5zaYPHLNUPpF9pftirqcOmMo4q+EH5ibuCjOmTx7jZ6h85cbfBaVUXlYCExAwnoz/J1IR7ziOPMeLAUe8npFGH5az/9V+y860yocUZGefg/wNirl00WmpeWHJCYuM4SFEX3ttfPxy9c7LZaZOnITkZ4+YjZYmgFz4CuZllYz2dzsiLIO3/VI5ImSiojTpZ2BjA+GJj6ztE9sxJ0bLlQ8/UPWUtRLacJtb4vbbsdt19BZxMC1wfiNO9u3LxBe7zNI6XPmvlScTwi/xtplLfaD/jeoBJ6/BaYzgaZ5P/3UEDDkr1kzTn92Y3mj6bYZzw0/smrY+ND81GmGy3c3ewrVe7EMRR0ZA0TgtjeJ2PPobQhRjBC1Lc4DUA44nyBUEZumHQlJTNwR2qYNmEwaiku8xWmxbA5W7wlIbY716QJbrVYf0b3GRu112DogyuAVU8PyZE6oN7SJLXNs0tDzI2lR2oaTYRkNlic6ozbErM7JMWY/Sz1oO+5Q9yYDBjoWdPQC/f5FMwCfraVSovDFp3841HHeq6e9kflGxr7QNNr6Y9wFp8XiA8xUXfSr234gzuVyVdvZC4QJFTUYvl0PDU8mldSk+RyeWVZQ0jCUgw+kjGh9YmZIqbE4AvgcIcNQyPLsPX8l+CKbLBSwLxKYKqmumlOjOYVv0a+JdlZlXL3M8Tw6NxwwZR6LHr36i5bsdCXVrXPMxc3afMBDYk4PgfeUSUqK0gckYnb8idlRiJrHx1HlmnMoDMMg1LrQAbf9ibhzkzWbpt13zZiz+zpek4UMrYh8dVQr5vVqX7LY0qluDWqnMAkBzZOOZRG8DdkXqN/zqoAyTAxA6+TDDwPMPfPWcL2mOQE1jzYUlmKWvkYmFRvh7qvojKlcMmqRl7y4l2q5sxBONpaYHV+cSphvzEz4THQOyXGgMlYRm7plnBuyZBbPr3iWRo+9v7Pn0SVN5515sdOis08jkFHAZ06L5UyGFtNRHy9L57h+gnLU726Np8XIvhDqpQKDvAppnAmEnjjfLJp68IX//7b/XJoXwOVylQHZaVKOQlcpQsn17dA/74daCL85NW7cSFQniudRhO3Svy+77OsZDz10N0LIb8CYLETVxtoqRXMLqrZ5EZqeMTyZY3cms+on99k3bzI3MnjlKa9B1Jga1u/lAmC0Wq0XaxxOi0Ws6dPnO+ewYbfF5eby0kcfFcfl578JvGXTNKlHheXAKavVWpvIerDrRaF+HP9YrdZao7lAc1osHcI6dFie9NhjbXIWfkGiK7OsR0E/U6Q3SgCcSc71Ns6M3YFy2HNw24OKjLtcrh0oBxZptVqrLOI6uvIM6ru4qgoopOoY76HSPWNOjRt3EFWr9S18LhT94ZQ+5jeoiH+FRA4NGMfXuLzavdRmg9a2/7RxZtyYMYt7l1n/bBtycmii4fB9KfR6ZG95RHbFPmD5r/FLj503uV9D8aq9qOzF/TVJFAqESClKOe3c7GykxWg7xnUfF1QBqL7mUzBKs6aFohSQmkZnG+xz+nfog8p2GEBmDb7/aFJiSsl6bDJo5OM/11ardb7/Zw3ywtf22Nk87eWPBmYPOBqdyPHmVArscBaFIJ8P/Opa2sWGqoNOt1qtT/gO0kFSn6NI74YmbfOZc2eu6ytbnhXYLpGXhg9wihaobMCP2GSV7I1AvIOKaGoc12mxRCU3L1iTfz6sV3GBCZRjf8KmacG6Ofk2ayeERzR5eubAeVNfvyUlhxBrvKkomvKL1ZRcVFboK2BRnRKeTrHn0a6mjgtTPTz2UPtzl+0Qvv7HR1FloOClDadoApzMK47+NfbB/MFAtpRqfQpahqk8bz2qm49BjJKbUa0OB0nJah2I+BJqjYwASmOTShYtn3dkzBy1dZ2MkN1QWIrHpUS1WFOqZGOBG0nItnD+opCUd3lpS74rayVuDT16zW15QwHSkRSWfE1UmJeN2FS6WAh+DxOFA15NvWtns/DDXUHSsnMueVmhw4b8fvR7PSItwFAhW+eY5Ikowgef4fllTeU7QmAECve+1yGsXaMDJwx3e/8Vv/T/lf1XnenBLClbD1dw/xBgiC6u4Pu8mjPS6SDTcmJixr8xcaIpt0ED7li27LMHRo68HQizDt/VD1X7uxYFsPHXOd0H/PT3jHYV6xuHTn4akOrH06LWiFbdywaUQ06yWq3ZACI9vRewESnFsw7H8q779t1IdX7jMRRXy6SjiS9lfi7o59WvhqBqfo8CQ72C9hs/72hi635OLJmFQHC4r5Gvxp/M07plJ9UpOk+lNjFwr9Vq/dL/M4HYiUopvi6Rk2sZowuqprXcarXeDOC0WG5CRRY+DtuKScsO/ni2dfk8/PiuAeO8j+rQcp/Vag1sgeU/B76+mreUmio6hZWHhAJIpBSIE6cHJRw7+EiTq4EPrFbrJNjtxegAACAASURBVP9TnRaLj9Mbh9rYfQGMDeT0CoQTuGvZhmWyQUWDM1artX79Z2swl8v1P+DWsd3G/rY3du9glHjGDfo9xQMLQQ4FIeKSS0ovZIbfYdO0aqT9KnM9fNctqEVz9LmkvGuiC8Oio4rDkEhE6hEILTvL/o6vojSfiwPGqZW36rRYGjZrn7fr9LEoc3mpgW3WAtn0UOgtE387VKeQQNWBRE+UetOX2OTFDIxA9ENFpcUoHnDNaWOneKGiXLy5+suWO8+fieiC2iGcAh6xaVolyMzs6D3VvsrZ/FRC6vW/dyIuTw+KDZ4yrv4jdN6p/uzf3q/7tOIewUA5NdrsTeLCuF7E4hgHE2YeXtzJch0qI+Xrwauh8B5VpCdxistRWt+LxCiZgGrTNwYpFNJYrSNdJHJPwHlqU2mTQgh83/chKStpUfoa+S6KbRB6qEsxp2/KKvhkVF6MEMSHUpE1xHS85MfYn324lcr1peMeSMrMZV3aKOBnkWV/EJhLgwu/kRt/NRDZLpch+1fwK7ASmxwMIAS+jdHpxZ0sVzdpm7ft7NHoBp4KAYg9wL2j9mj38dR7dt57hpmbYdxBmmNTDSCEYPrxGc0eO57dPKfvKxsS+A/bf9KZLklPXzIFRhwEJIyRaWnzA48J5oxEeroZKY8avN6oF2Z87O146KDBfPNIQq+7mr737iGkxIsakuMocv5cf0Rds/T0h7JhbiR4s5Xebp36ty6XazLwKjDRarV+JNLTW6HqjKHAcJmW9p0OCPoMFV0ZAHfS008fDktN7Q30tVqt9adiUEVnt5FeE6tqZkcUKuq+E13w3+/TzE0ftY0tSQ41rp/z4Ah3StnSHmtiBIBBipUosEKtba90ebrNwA9Wq/Vig3CBmIYCFGyRyCvq8RxlQJbVak3x/3enxXIPSpYt6UJiBcsedMsDlxd3O9KleGeQMXyLz49Wq7UyijE7wlCUhbtQSlixABLJxiuOyp+u2yU6HGz42uhver+G2+5xuVwRqJRx1SxG5T0JVHQ3BbXIVIJdNM0jED4Am3uNa02eAUMrVMbiX//AXC7XPcAXr3V4jTUN1wTdTOx7IqFfeYlxnbYhCa/XAKqmf79N09b5zUWP9Qs7bYo8WSK7v3hEoG8kD7TKZF3vQ3Lw751mNL1j4W7aHpoHvI9NPlXLPWUDEVWEKfws/2ux5sZehmuafJfE0AWJCClAbVZH2zStftKMTnE9qtbqwCYVGFDVt8+h5j5NImvvCuQUvmh8uPPNTptQSHaryRNKk7IWOZcVXnk+yhvTHB1Mdi4pj6Ts6CNGaVgNfML0CdHAH/fN+ZyFf9z3u5T177gkEFdFlbOhZSFoTXO3UdjgcmCglKxxWiyX6ffiK5NsRjWKOKDf93UoQNssMUq+BpxBeLLwhhSgqH0TJTKw7yo4xT6gzUVdZYHPIQ6QkipRcFxmyPU9XNE/3znbTMy5UKIqYsp75l9dYi5LjQkVXqQEoVpU/oNKZS9g+oQiqIw49Wtk4RiXyPjZAFOlk09RgM3vsMnhfselo/jKw+Vi8UJRvrH7DzPa70Qvz5xsWXbs9QXHWzQ71Brt6F4EhGNT1BwhMGXPSSj7auNd0r5wpimY/OF/xf5zNVORnh41Bq4/BNwN24M5Ut3+RgEv+gA89szS2KTcisMCoubPOl06ZaPV0CO/L8X794BBsLrPPxXbov58H1XfaInb/oC/IxXp6daT8EkEMAMK6+NIdbso0yfS0+NRzcVDgYkyLe07qOxZigIE/QwkXXA6ewOUHjny/KXMj25VdXYVj+tmzI7vMDvOodLADip7p65D1U6icdsbFjcNXyNDDSEzvix8/6MZJ8WSiecWGqQ4i87dc1osS2uTKLRarVtQWYOLDlNHbU7Sr10jajTAjgGNAsFQNk37cpS2J/mjD07knGtexr1TG4s3Rrba6lfv8b+XbUAFUl6B2XEtZscSva9lUNpO7OGn/+n384finSdWvz965qIpPqk+PUWcg6qHVTO9LvceqjZVBewyY2Db9/DyBSpq7W/A4BPXGBxsrPrauMvGrS8xlHB57uWg6q/VFpIOvXLo0j+L6+4/8i1qYW6N5I+f2119Lrfha/t0qb4tSX/nGopTwoxeOF5h8H7ebuNrue3/fp0Hp381ounul56g7SGf069LyL5W3qqtL73WpXpZ8lTm+0KKrvrxHYC/nRbLVqfFUh0ZW918EYg/AvUPlCOdVqcjVaaALlkJebbMsTfbMsdyZ+aDhcOy7+eq/Gvjw7zhrc+EnTK89NSPsovrLW/rza+0N2Y+1hq3/RHc9m3ocoBRYYWFwAAfFaQuE4gI4DcEfLWeQgob+PqjfgIQSPdD/Yb85fkuavpKyTlgJfctNKMc6ZqgjlRZBOqd9NkY/+v67K/rJl09avlVyx5adQv3H7+HHvn98BgqTK74n2N+j/+2YkxJO2k+P+YCbnsD3PY03PbZTJ/g8xNVa9hf37mZ8bNhrTVXIp/DJ9hRHfR1n/73IyAyMsbjtWnaZcDVJRGeYynHTS2mX9+KsVNaU1wUis+RAkhJeYOIPHKLYwXqd/eftUtypkKIDF3HcLsQYkvAZ08JIaQQok6puhrH11WKiqDBRJBjdDH9oFYhvwNIWZG10GN2nMqJMl7Iig2J+WTOaUb/kesJwfRn++KuTyckdewnpaS8VVLI3qjtk5zJsw86LZYBAdfthELmiZfgUBMhYgKEz2s0q9WaAZSUSXk5sAeFqvtApqVVe+l1QNCNQIuKM2fWeYuLKT91aqjTYjngtFiuqt8sAfAFUhK3I/8JzI5DKMf2Iyp9F49KIU0FWuK2x+C298dtd/gpqiwDaFPYpiXg+mlM9n0+fiNqMR2GQiRf5DcGsRNAY5fLJQJQm9dfgnpQbU5n0ebB+fGvLcz4FdV0uBwdMe20WN52WizCh66M25kvQ/I9KdIPXYkCi3wEtMdtj8Jt7yPcE2LyG5R2B3ZLgkZfO1GOosaFMxDsIpGmpLOhT02+t6Xpnjcbfq+jK33iGiNqGqcuEwixJ25PutZAY0DmgHJJ8E4d6IoyCTutsbbMsfk3ZdkK2hR3IjfkQvKviUvb/xWz1pBnuLCmKCVsbUVMCOuWdhlnOvd4ysG27lhgsUR+q4/jc2B1NU+ukbcqEG/81JSohw+CRD5l07RdNk3rhkKxHkRlSfY6LRaX02KpTUSiiq6tQLyhn7tLIqvJWFYxtbG8iS/uHcLch+H1V1aiNpbWEEzSgGH96dBj0741z9+7Ov5HY+tvToq7n484NvfKtoEKUokA1g7pv6ALFdR63UpzAdEfbaG8Sx7FUrIL1aO2rRBYfQfZNG2dTdPaoFSUTqGAeidWLmjxXEW5uPjsbOn+NQ47bO0uqZkjDwqjcLFEIyXbgB1RlLb7I/a7+Zgd2zA7SnpvS/1j5nN3htz2axdCWx+lfRvvhl551huA33JCM40Dmk0UI1KmxA1KcL7vN7av3ltJ90P0485vB7O3A1z/S4wQJFL5vVVxpv7KUJsOXRGP2nQyStuzYcyW/eHP/u8wxREyJ/HUEVbMbsWiTpblehkDnCIqxOihqDTCC9j1Our/sem9SzOFELsD/n2CEGK/EEITQrxb0/nB7N9EptdIKbtJWdmLTgjRDIVqO/4vxvO3DegqRTcJcYZARSI/aPrVtt2LjUUeZIho8/S9DRsvssZzza6CEw//nuNbPK/CbZ/Wb+7kDUKIophBg3JRkPJU4HcfHUOkpzekUvj+0e5CfKdfrUqnmNrMK+Xhj9SL1AhYKtPSJtV2vE3TTth27eovjMaciC5dJEotaYPTYtnutFiCo2TNDjNmx8uYHVutw3cdjMooAZXmboX6MS4E+uqKKp1x25/DbQ8aXY+6YpS7TJRxVdZVHvxkw2ya9plN0xJQwgslwP0o5/VhEInCDaj35xr+LWqzBqejE9JtQBZGhto07XUgxuQ1zQzxhoQAz8WWJ3jPmE7sBx5P+ivPVNEghPM9otfii0QDaDsC0RsFVCsmQPTCz3y1tDoFDnSJwnEP/rVv6fzJZ2i+P4whzsQ7nBaL+9T48QkEEde4RPsCaF5oLMyJ8kSZqkSC/ooyL765gBfegRU3XwcMiPHGGnoVWP/sld9/lhdvxpGIfSE/JX014Mhvn8YBbI7bPAW1eTke8Jw+Z5pdx335auRV6EgCcRXwQmoB8oOtVVNxNk1bb9O0dqj630lUVHbMabGs0FuvBdrFyNQ3LioFH5xaYnZ0weyYpW8sy4FlbL2iGecagtGzD1UnTNU3llennHrvadue3due/ukQJ9uUFDc7FJ4KHHZaLKt07duL93Bn76XpqMYSg4SgVnEQgXgFFWlqDx7BS6XohK+jzJzAc2yattymaU3RlaayTkV1WT6rDau+aHH7FatimtFj2yd4jHDjCoGo3v/WzxR9xE+VrChxduucxM/oH3rmfqDbicY53qen/MDQxbMPh73+7DRGL4AHP/2g6an3f7Fp2hCgVZk3bHPPmN8Z3ejtJ50Wyx6nxdKTAAEMPeWuNhnTJk2nNMIAzKXSmVbrlOObg7eWPZ8EF9+PH4CGp9uUfTd+3b6EhmlRxVFmLwZRSec5ezQyFaBlUkYGasPwRi1zcCm2gIDNiRDiGhQwtauU0gJMC3JejfZ/K837IYqH96/rQ7pK0ZVUqhRtAUxZ1y34ELPjrwBoejuDl3OmvIrSDwbGez+8ySyAvWu7RLcIxnkEDoiQkNgms2YNROXpdwKdyg2GLc1OnjyJlFHAmzItbS6Vadt68wOfhtifgSZwUKal1fbCV33m0NAtxrg4EdG37+2outJlwE6nxbLhx/a922B2PIDZsVKX6stEtaHqDhSGFHryL3SJZvfTzaNw25vjtt+H215n7VUgEk9Fnlp8MPoggzIHlQYDHNk0bRoq8rrIb0Q51cl+EoXfAPxu/v0DFJp2u0Reasr6NwKcjr8usDkzyirNH9+B2bHCljk2846sB8cPzxpjvDIvjVJDMWvjf2Jp0vyifxI2OQB2P5+agdu+JpCyoqfeVqIijJslsqZU5iL9b714qwIxrCRGjvx9RE52VuPyJJR8XiJSLio9dEjK8vLUS5gL/3HvQNV7s/tk95kKEHmseGJQzefS8Bgu/we6bl8DtPVtJFufmDn+rj27U1EI2zNl+/df7ikoIOp40ZWmYlFO9XZt/vy/Gi0Yb/ViahPEt+vIjvJW1wkGsGnaLzZNa4ai2mShnGum02JZEiBRGAdwIoJ837jATRe/t8qN5RZdeWknKmvRCiVp+SVPTNvOy6/DBxM74bY/i9ue4Xe/IwDbuRblWZO/zohBZWLOosCJZ5wWy3fF+UafoH82am2rNToViF6oDEoxClV7UQ5RjxJ3Au2FCL7B8ilNdb763NrouHLcJ6L6PPB6yvGrljcINR1r+BbnGklUk/CqpjZW1+KyRvHJIzH4lTcihMfwfWmromtzb6a5/chTzXdOjphm/71gxXV7umDy+r7vbL97yLh/3z+9phxZvH7V+buQUnQENv9vRtvFJYVGqCwBuFA4jPflZw8+gXKet2bmJfmwD9WyG1JyCNi47J9bjDuOd/EKxAOoqPw0CktCWp+tOc0HhDD12OwyKRWdZ+2SFtuP7opl5JWLN6De+8eFX4eEf2tSyj+C3OdY4B0ppf69ycxLGfNSnakEVgohtgohHgYQQtwMnJJS7rjEsRBC2IQQGWLCBC9wK8UlOdmj97wj79j9U5dXjwwAkGGGJ1BO1keSHoOS6msyu2HoublGYTApR3O5LogQzHxdXe7UU0+XlRmNV08bN678RNOmIfcvWcLi8eP7OS2WJlardY9+rXrRTkR6+oKt0HQw8IWqD12K/QSQMGpUN1vm2E4dCi97Oq48oRC4qsxQelCL3PpZuSgfhKrBbkKJ2ifgtifmdo7+HIMg+8rY2qQBg9kGIMzkNR0LlaGRLpcraONkPZ35IsqpzkJF7q+ipOTswM9evLLMUHYZiut7yVGYDs652CNVIESnvY22jvmyt+nYZa9dyLS8sxsF6rkBVS/bZsAwpXVJx0YlxuIGwNIyQ2l4/ppVdm9xMZ4LF2pKg63Vn2OGRK6u4Rh/3mqNHFqf6U7/K/RmAM8uO5xt07SbUC3rXCW7dhmEyWRcYrUed1os9Z4bfdzFEUUm77a0Zxf2f+DgnXgkSZvzJ1Kp+XwWJeowgGmT3mHkEhjz2Tzc9kOB49k07QebpqWUm7wPXsg6RLuSjszr09642NLpzYAUvm9xrU/jeF8PWJ8DTEctrtN7qORkUGfqd09Om6Yl689TgMpMXHBaLHP0mngsQM8hvAZEh5WETJfmj5tjdvyG2eFrQfga6jdahMIQ3I3KSDTHbb+X1GOqfmiTgRsr/yYOV0ukx6Zp3+tljjGo9Orty2e3mXh4exxFecZcKVmoz8tgIS6mPP3HjEBR+Pw3a4Ei+74aZo1dgAC69s8+eu29Gax76Nz+HHM5459ryoIRYZMeaPTKMfA2EoIRejONquIR3w8P4XQTAwHljZEFQ675XSRz4t7/vUfVMkyN3/eJsg7Dvzj3gnzm8A85wMHi/JA2y2a14bcFLW9teiD8Q33e/UslrwKGT1Y/6mv1V1N24/7I0CJe/PHlcH0eKoC+vk2d0eANjTCVVOws7B96z94dHwGTDQZZ8eeyJvzySUvbmMbjT4M3Al736CXHeitb1dPaAVcLIf4WQriEEHWCKP2tVjHlINZXSnlaCJEMrBJC7ANeRAFXLsn0iZhnnfhCpOuma4kprCBj7KH4hGIlaBC7p7BUVHg5Njz5rPmvvG6BnEeRnv6YgOYW4GX4/M5KQYRgtghFn7gNlQ7l/hkzpgKm5MzMHdeuX5+I3h3DabGsSJkx47gICWnlcrmMvvZtQZ8hPf0NYDSQ9RTEG4W48lLmoP1Hxzfuf6wZ5o25TwMvdC+8KoRCyArJ9G6JWSd3RG8y7ojaJBH8THV+45fAY6g6aVD+XLX7RcxEAWzWtyts9zsKmToKdF5ZELNpWjkw3mmxPIWSKLwL+PjE+LGvFMx+mM55nUH9QC9F3eaiGQsqdnuiQwYVdp1z4HzR1NbxuZG+DV4cipO3CsV5rUJNsKkGH3foabmFpYcODTYlJzd2Wiw+Ht8a/ZknozZjeyTy8Xrc0gGgm8vliqiJt+rrI4raYEz0pyno3Ni0VZ9//gLwZmizZs1KsrLWOS2WXSiJwuAbLrPDWG70jJxx3/B5HQ80Ml2zvi1GaXgSPESeKSWzb2xF6pJzDwGLcdsrswnOCT7UZK0R5X3b991+54mNjDsyjrDoxBJvTs5owOa0WGYDT9pexIcRqEvzGpTj6A6MFIhmKN1rTSKfAHE/9STY2zRtptNimYVK476I6lgyevsac8b5gZJbv2nf6fafLqsYnN7xMSrJr8UooNX3wDzc9poWbp+850ULaOIwwb+Jg34/84H5TovlqZAw79t/r0gJEQa5TH5smWliy4vlRMxFofKrcJ1Rm/XAzVoVBScp2SIEu4HOQtBbSoLyr4EGe2Nhji27PROyL3zevcPC8DLTOFv0xpaPNxtLQrFlSUAMdBpw8eKrI0jKOszdVaUPpWST+HFECakZ4Wzu8YW8YouvDOP7vqsh96XknBCsPF3WZvCoPdrEfRPjr3Ifj3r4+N7YFpNHt3xi5V3nPZEFhpv9erdMB1454m7lu3bQ70RKDjw1dJZ8/+enDOxtDx333y+RGX6HhLZMysgHYiQhT43ao0WXfy5OnD4c8/mfy1PEgPj0Fv3ieuLulCIcK00tjueXzxNC8H9RrzcEhTnpjUrXfyOEaCXrSXm5pMhUSnla/5uJIrBbUTXIHXpP0qbAP0KI2nseKnuraWr7SNdN12LySn548WeyC86xoPjvfKCb8aw9XIYYcgpbRjQI4khvR32BZW8CDYWoFT16EfGpo09Fevq3KG7onszk5Mv11NPd6PJbF775phUgKnJyam6BlZ7+MGoBKAQ6m4Q4CTQJRKZWMbMjFrPjScyOjZgdhY3W526OOVhMqdkUgVrEvgEGJ1Ukhww5sDYEeBgRHBDkh6jtVdPlqtwvYghKXzYXlc5aoH8UuDAENZumFds07W5U/WR5WbhMTPkuQzQrbsZ3o+/tWNf5F83siMDsGI/Z4cLsyOvyZsYggPxWEW3/6nHU8MbEX8uKwkpvQ0n1tcZtfzTQkQbc1zmbpg0JTU1dE9KwIYaYmJaomviekR8k3wO8gkp91Tc69MlZ1gYemo9ee68JXRnaqtV0gLiRI/ejgGldgO1Oi+VPp8XSSp8Ln2D+caDc5DEumvCZNcKyv5HXKA3/oNKGyUVNw7eXNA4LcS3t8m0VR6qszohSIB4GbjgWcew8QKPXX/f12vSiNmQFe/5M6KIvGfVJbX0BcDbs7H36PZagUpugHFW91Wr0DMibt7rv7dotv/eWXnnW0DbLn2g/4LEpzHlqJNe62gvgEApEZMFtj8Rt74Xb/k4tjhQUujVwI+xr4rC6WhOHqvc07dYJB3/pf8dxdCrG4ws69ZzRr8GPReC9QQglogAgEC+jFt+9FzdrNSs4+aLTT2u69nkTCSOuEvTc1kwe7/b67tGnx99zZ9ZDpoEXbsZS3AmT6Sw7Ird6dkVu/hwIx21vgttuIzlLYKguyi8QU7llWTjTJ0CvLf66wD66XE2AszGoSHZq+54XzvW7/RTffnyk7EjnYm6fYzYOWZx4yJee13uhvhFqLPetfTW+i+ETp0FEMYyfWSSRCwI+DjUavaWo4CcSeDkklPjmyaG0k13L2+Z1J1aG0GTvUZ4Z2hP9mLdquta/sJPA91LZJtTvo96A2no7UyFElNDRtUKIKFQ0ullKmayr+bfUb6a7lPJsPYZsfvLofmwFJXyUlcXZ8t/4s+FSfo9eFe1Mnu1DWO0ioCuISE/vDXwLeCRYY4UoQGmm1mXHgMaG9PT3UTJ+Z4BuvtSwTdMW++S3yo4cKQIoWLXq22B0DJGefiMKcl6OUmY6h6JeGPBftFV7rhGYHcsxO7JQtYX3UXSecmBNRZQhI69dJK6lXTrgto/AbV/pq/nZNG0eCgjxDMEBQScIorMbaAIRj9r8SGCgRJbqKORL7l5j07ScUdqenfb0A/zTdK/KBpSXz3FaLIeCpjN96MpK2k4RlbQdEX28ZANeyYdv7ZY3fP2J9+UXVnSPPDnph2BSfbWZMTraCZD0+OOfAzsksuMNXyR+cffbDUW/H2LtEhm0GUIQ8wFsbgv2oUDcSmU/yxprq3qThlxjTEwzm6ZZgIEGaTyBpLdRGg9vb3m3t1yUr0OBgJqcNeedu/fjL2mxdXJuivZSOG57D9z213Hb3dTu4Bvof4NGlALRBpWmryg1ll4JIAyGgTZNewmVOp8JGLevadRy5YKWON/sND7YOAHPpklk+emI031REdgtfnXooN1eqpnZEaNvLDdgdhRGyqiDnYov79m6pKPY2/EUriZrWZ7wFV8nzilwJs+ehts+Abd9T53jVloYfulmXT1oNOp7u6Gukw0Gopu2K6BTn6x49Dka2/SFyCkt7xHXxi/2ZT16oFKc/psJqKSIVHGmUrIJtbGyCBGwCTY7emN2fH7g2zHXrLnqTTYNfkY0PRvXD4gSiG3AlJfLmlrfNhayK2qzcVf0lvudybMznBbL7TiFIIiWsUBcjVo7Cnn+7X2oqNgHHFUpelvwqEtKTqHeu4a/7RjUC2BPz5LQqfOOTydIev6VliOnN004WQGwYvv1NWV0Rr97jVs0vO8TydoBkUJUy2gagZK1Db57zxa63+uM/m2KfHraNF57hctP9w/rUtGd/LS2ZA0KZX/GQd85/zdVkX4ABgAIIdqhymv1ydQAlxaZNgTWCyF2oOp3K6SUv9ZxTm12HKDPscN0apjMb8XFKqGfmCjQwS7S4/lFP/ZeAJGe3gZV/DagBBH+QgkkNHC5XLHVL1HFNm6TUkiV7s2jBuF7m6Y5ogcOjJHl5TKsbVtBAB1DpKf3QNFQJDBIpqX5UkXfAkSeKHkCs+MzzI4MlMNcgor+olEQ+deAFNz2ONz2gcVNwxer7BNB8/+18RuLd+7M1+cirY5nX49Cwr0skf6KK4eAJJfLZQp+WnXzoSuLo71Fx4c1SZVSEtm7dyFKCnCd02LZ+U8L2zA/dGUFiooTSNtJxW2PCTlpv/pwzBFv6+I2AnhKIrX63kuALQEwpaRcZtO0bi9/dWTn+qG5DFmUwNgXm3yqt6Sqs6en1Wrdgb5JCvLsZhQC2dc0vXa1qAqpIWVkaZvZf9oyx/440v1wsxvO30nDsqbsidomvk9awIqEr/+8aerrHRrveTHhy5GbvMeb5/QNMq5P2SlYYwRfhFEtotTTmutRi9R92+K3HULVBNsB2DTNY9M0OxDbsY/7QlGeCeBDp8WS5bRYRgeO5287Ynd4Whe0FsIrZkrkSr+Pgovuq43lHZgdyzA73Kjf4PuoDFEFqq79SNjJJ/7qlT6L49P/R37IhW8xqLaCTovlnNNiuRSq0UVxdF8TB+r7vSmLBug2L7PYN0fAokahx7i/8Vudv7B0ye74d+QfKCd2W8Bmrbb2bw8BNBYFCzA73sbs2IXZUYZiGtzXfE+qONl9Lyjkbzfc9nDc9u647a+9lTvsj+knp68bv38t58uTt6PYA9999VbHjPzzJvBz3n6IW4DrKY7yafx+pv+tlgYPYg8A8ueI+IGog49K5BM2TZuJKsO8hJrjh9tG7srvFfZTgZQwYvrXLwcO5GtU0agYvuk6Y7+etZ8F+DZWT/DDrSZem9wiLfSMtrjBKsPQ0AxDTkSFh2Hf8kqbmRcijjzJozOcjOi/nQOFF33cv2KQCCG+Qs15eyHESSHEGFTGqZVOl1kCjK5vihcuwZlKKY9IKS/T/7NIKd8MckxLKWV9PfkLQNFff/2FEILSXr0Ys29fsMgYqgAAIABJREFU0ZHi4tXoYJczzzzzgv4s14v09ESUIkcoMEGmpfkE31fpf++q7WIfSXniJSBGvUCXy7S0GiOVG557TgqT6XR4t24elBKPAJ7Li4wsCC8u/gspjcAomZbmwuxogtnxxtV37ppiLPIQu7fwdtRL2AwlozUP6Kn/KC7HbZ+C237G73I+9HCtbbqCiXnn/fhjV4Di3burdZfwmUBMRwnJ/ymp9p35yO/1AjH5ozaBm+anzj8jhMiN6NxVWHOun92otGmJkKLLwSht6faov8aWiGJ/2s7VAbSdDH3YzzYkbjC0LWhLuit9SfAr122+SBBoLxAvHO1a2nXeG2f2C4SPjmFF0TF+qoGO4W/H0Tm0Af/+J+r9ezao01dR+K2YHf/D7MjsPDXjKoSgsHl4b9Tm6484T6I9LfeGaGCMR1Sczw0532foZ3EHrEvjQsPzxQvBxrVarbuowcFTGWEEcxA/ojbBSyXSV1evlu2xaVrx5QPcOUPHHvJtfBKABU6L5ZTTYqn2XgrEi781/C08tiKWtevWBvZ/rQTemB099Y3lUVTq9xvgJlQ0vQPVFaUpbnssbvsA4Z5gLg/z9r7+FGX3nJIem6bdiXIYv6L0s5c4LZZjToulPhiNUKDMr04ayqVt1iLxYyfoZY57Xj7qfGbR2acpC5MJLz3QMnLa9a0LF1s6BW5GfWngStS42RGF2TFeJjne3h/3pfdEwsKOKEBhZ+DC7vZn/uzseotb0l/yWm760qOXN4LV1+/L85qZcHBtAqrUsFFKmv/0SRt+W9Cyj05lAb2JA/CuRK6TkvUocFJXIbic4GnwKiYlJ+i+Zau46acQgCm7KjdzvvQ8aj16HxDnt5fG/Tq/Fe1Ct9zZKPToRXT2RYyBJOTrDdA/6vipwSHHDj8Zvq11XuKcC6iN1Ye40kAgAVe2N3Ri4vkxnpdSo6H/H3zw8z4P4XD/N9CwBLLVtqEI/Cq3l2BSyruklI2llCYpZVMp5WdSyjIp5d1Sys5Syu5SyjV1j1Rp/78pIOlF44dWrVp1QkpJv379Sjzw0EtHjgxC/dgWy+LiqPITJyg+dqx/TH7+IdQX965MS/Ovd/jScjU6I5GeftUP8Fw4MB1OyrS0I/W4xc1CiJAms2YtAhrkRUV9+cHYsZHlJlPI0598Xn747u9exezIQy3ULxq8dIk8UeLNujLWi6pxhuC2t8Jtfxi3fWtNF7FarQdQC02dfQ6hkt8IxFWcPfuVt6gI74ULfZ0Wi9tpsYyq8tyIa1E1sTyCdG+hErg0rD7XRkdthhebfOjKlY1XZkcLSWQjQ+rYAbk3hQ85Pzz//2PuvQOjqNY/7s/Zkh5CCBuq9D6AVAEVN4IKqFiuWFjAgoqCix1BQUEUURH1yioWpKisoHKtFAuYRZqoFGHoNRBKNgFCerK75/3jzCabzSaE+77v7/r8E0hmzpw5M3Oe9n2+T5IvuWhX3Fb+U3+hcKfO3etOnfssXmeV+lOBuAm471D8oSKTehVHhh9zkbJDIuNjfDEvo0LYV0Qox7gBVY7hDivHCJUgmUR5Da5AzEN53x6JrKg/s7m6Y3N9gM11EOVhfY3yIOsmHizag5Tserr5RoNRxo7X+S5eZ4FD1+c7dD3lC2fW76eblTJmamM+7tvxJbemvR2hpheqYYtCbZhVrGeBuB+luE6gaCWDEvRWwtc6xholfQ5dvxllCK5BtRz81q1pB92aZjfG7Qm8tCdxTzAvWuEtXvJ6E3Z0hvfGtjeYl/5AGZbNUAbKx0BvvM5ovM5ueJ0v4HVmho4LFC9Zjxdjo3fouteh60NQimOdMdaPbk3b49a0mvACwdKUeaiSmV8l8q0ajg+XOCIoG29ps1krB8YWPZq+h19vyS1slBEdD3xnpDmCdbApSGBDP1skVrKm5vySmUU9GHn+muNAgvCOb99l3Svd9U4n5dL1nI6qgTJPSg6hjINmI3bpXRy6fsWlV2eNbNvzDDknYhOBP16+vdWJxDPm7sDfEjkx5PSHjJ/zUZGqGlHXAhHNpn7tE4Sy00YeZX/4MUZ042mgTucrvWeKC8083cxpeq75A2fdmjbGOGxJ45NJTd6ZcnNmvzfvholvDFxV9/vWsxPWkyetdYC/MflfZcYkeH76OrzOtJScMW+XYVkaZSmzLmwJecmkkMnuG7YrQ+1MHseBB/9JzcL/p3SCUkr36dOnmwkhirp06VIYXJhQsIu/uPi8q2lTkZeYWPeWFSsKFz/ySKVN2W6376EGZWSEhn8FxItwtpUQNRZeh8h/AAjIuwcVPDL4Xef0YftbtWLmR7/T9+9d1k1Ja9r9UvfbhONRR/YATwB18trH/1yWZDF5vury90Xm/A4BNo/HU2t2D4euFzh27nSI6GhvTLduAVTB9GduTTvu1rQbjO4t3xEMRyMjoZ03ojaMC6KQh3/Va8FDC6+4bMPgJ31Fzd58FAXmuLbujnwpLYLDdzX4AaiXfGpancH70uMQ3IrgJArslOnWtK/dmlYeijdCpl8CgVhfbBAEdUNt7z+SFJuKfxYItPOaAG6TyNAauvByjOGofM/74TlxKsgk7jLmOhSjbGJL2jMjsLmmYXNtweYqRkVLxqA2++MoYFc/vM6oqINjOyJEkT/eHJGiUCCGfjs2u8/UxUfOllkDwRD+Y0C+W9OmhdT0QvVsUVU8DIFohQoT+qhaTxo0PsPXOso4HoeuZzp0fSCqDGczShmlf9ql007bMeuvgMiIy7hFlAVk8ta867G51mBz5VIce5x5D8H+9vEoA+57FD7BgtfZEq/zAbzOP8OuqzZtlZ8TwL/q+CrmEhSHrh916Hp/lCe3DYVK/92taVvcmtap6upi8dgwo5T52QjrdiGJJoIyFYjufDYqpuhoR+Z99NfqkDVqHeOPXftnyztzSqZOnsPUl2Cp404isJLFZY+Ne76w377FpR2aimxnGxQyPAZ4vlUB5vB7jyD3GT/nAGiX55zvNeg0V92e8WV+Hd+xFntiGv372rYs7NbhfGhqQ0o8qNROt6LSmFgu3CN0DVZfYtMtHUqLS6MRI2S1uWaHrpd0tXvPDn34gP+L04/6ok0lVuCD7zr39//RZ9wdmV1fZvyH1zRhbwdIySkAFnQ/c+e+pmdHC5HtfJS3Hn+TuGKonGd+uLjdfvlIbxABztGUS6/vxgaAg2/T7p+kSIF/BtF9SEuvGLvdXmnT756efmwbNLUfOFA45q23guTalci8PR7PHlQeyBpaymKEho+g8h/OdCGGoDaRzna7vfpwj82l+aLEIxsWdhqb6jnLu2US15AUXnafkpO/zt6dL86vWZnyVdcyU0l/1AZwFHigyXvvtUdZny/Z7fZqO6ZEuP8PUBvyrXa7/ZsLHR927gpgSP66dVfnut3TUOFM9MvySz98+WRUdpOyFyVyWg3nH0WhsC2VSNltrjaofPH1ZWZ/W6vfbAYIIP0mxEFU6G2u56suxagSltV2u70KGbhb00YDs1ChQz8KqffQCH2XjvL0JkjkGx6PpxAostvtFwrBViv1i+tv+vL3L/v8mfzniQldJ1RLCWgoqWA5RizKg3kbeDakRZ4fOPBa6Th7YUzp0QHr21kmuK4piC2xhjYNyEFxRH8KfBnk+Q2V6t5tgUhBhcCtQA+J3G4o9bdQ74IVlXOb4tD1dzwez2CUV7nQbrffV34Bt8gEUnDIGGNcgfJGGwL3RUBMEnGt3eI8UIZDVll/t6Z1Bz4NCKnFiyTi6jQpHrDv8jwRE2MzmkcAFBBXsI/RH3enybH/8EBRbaMdCESwccMHEvkwbnEOkDhkcnXnGPSbCzDyv6iw5iiHrh8FyF8qAu2Hwok4JNBNIndUM1Q1FxDZQDQOWU4ravR+zQLq0uuPgoS/usYeqbdoZoqpZIgPX2cLqhNRiSiisNEhoqPEn3FHOj0RMSqjqAXTmfKSl5desAGbJLKfce/gkHVrmp4QbEShiK+Xi0UDYME5CzOS7+CxxgeiEqaNbOGNz7PYUMb0ClSjgRwhGACsPvhWq0Cr1MNncEhbxPERz6EQ33vz5sfLkrLoDvUfzjkuJZFxBzZXNA++f5KDrZOyfrmpLFHkRx+K386u+K2UiVISZb2SzqlxX7d84Oe7MEkXDjneCDdvAfbKxeI2YCewFIcMGrEpDXJis2VcEVnDvp8tl9/4NG6h7tsh/18TN/x/Lf8UovtgV4NKzbJFevpn26Dp9cALbdr8jLJGFZk3rHVr2t9GF4YgEGBoyLnRKGswARUafheVQ4Lwxto2Vwo213PYXH8YjCo7LaVybJ19hbzVpw6uISk0PFO2Z/KHd5nwOrWErOfG3757ix1lsa/HaNab+cQTjxrGycXW3QYtrFqzJ4XIdwAJV155rUPX04COB7oUnmq7LS7qzcFtWKx1+pexRtXJJsAUe7z4mtCyHRSX6pMS2eG3fgdNj874illjV08yIax4ne3xOh/D69wT5CZGsSBVkWA4E0WCXwTcU5DgL+y7ok5rUcbakJDpPqCe0b3lokUgJuTE5PQ5HX1aXnb2sur4hINzqpLvQfXIzHd30iZeMWzrwNjjxSVROWVtv7z//hPp/3rM+sLsISK2xGpCKc9nUOQZ9fE6b8DrXBJJkRoS8d1GheqigeckivDECOGXg11QocZ/uzUtO/ORR4IbYzhiuhxoY8h/UIr0m0iK1JBIa23FYOypJDZXJ0fW2NEdGtzYII3h3HpqBIP2pcUUm4psp1qV+PWnmrHv/kY34HUmMHPSE7TdD3HFF6IkLBeBmGjc0z6JfDhkLjWW1zh0fYND19ujENXHUFSDh92atsKtabZHeiNOxiqsw0UrUiVR4XOwlJp+6b2led3ldz6cmXV4mzknZZ4pxVQyGehhwZIPrDwQs+uln9u/n7vS5+GbovRe7tS509yaViUaJiUe+mzM5JnXbRRHFWCgSGtz74YEDap3MagPh1zNSCDhRJvSNx/ctDeVCKmNxZ2034GDxWUxpvziuIjvrBFyL0+VJMQUWEymAEBTIYy8qcIHXIfNtRSb6yRQzEcPJ7PmGpNNFPnnl3QNPP6QZEz6LjLaFh3ME2eiN3qP3fX7yoYc3xcfb6xBOTPUy18/F7z/UHayDVn1inh3dSKsuPEB43cR0xr/BPmnKNMgjVtF25709BmolyHrCfCZhejt0PV9Dl2/DAXE0DFq97yzZgVh6bcb5woUwKEB8LlMSwvmDRTAJSCvxeYahc21CpvrDOqFm2GMW4QC2dz9asf4Ux8mWrDCsVP1rJ3DJ+3Q9SMOXb+SYOippKRd6eHD+LKyeteyO0ZQ1qJCfP0u4pygBPOe1wKM0Hc1mrrkSMOJ3x4oRCGdq9Y3Qjm6suMbR1sDNPva+xMVZTs+VM5sTOyxJzYN/HqOmDPG45ow/evXqglfHwRSjH6XEcWh628Cdf7ul//FmQZlpvETmvJpt46XuTXtRcNTrE7pXFAE4lIU0rmkXmm93ReaS8ic/A5df3pI9h09WxS11aMDMXEIXk2vu/znxPSMmNIUK0sdOtMmrDhBBWF+X7zOWXidtS21Cb7b5SAvgXgf5VGtk8jXIsyryKHro1BAFgUIkvKTaigKyzd9gbgHla89Rc2gskhrrUpalGE5CZtrs2FY6oCzxbF69Tf3PEp2cv5Xf8Wvm/x9ffeJjfE/m7P7JbFP/Plvg5g8iGK9UOeZ4DpcCsxEbdqhjR6s1Ka8BnDo+iqHrjdDhe2zgSElMYHTJzcl86+D4pxEzqrNOBFEGRc219XYXIuPdX0pN6vTzKs2D3qa69doTeqLYrmouIP/htwbAu8UdmmG15mC13l9m2PvvXDj2EP/uf7BQ1isgWwUV3SmW9O+CUtzJPHrABulUdB347GQ5hC1Ki2Skj0ox6LlGj2txw+NYZON5ijyjKeMtYmY2ni99Y174qwF/HW4VxXvNyzkHkyVxCTG5JXaRCGPx2z9JITS8kdUPr4+sIc73aW8OCVXZDvjnZ+9teuX5xZybtN1xyd9c6gN0DkxpfT44R1JrP2y2X0h4fn7AT5Zd/czxhTOGfN4H2g36jDFVx2LkUCSEDxK1e44/xj5RyjT8JZeIj39YVQYLh9FiJBBCPjCoet/OXS9M8qaO1x6+HAn//nzlBw+/C/DCvwV5cX+JtPSVMmJzWW3D9vxXvzRIplwuKg7CkU7CPVw/kSF/OrjddbD6xwsvuzcYqmJhj2BL2GeTEurFhTg0HXdoevdgSv8OTnF5nr1TFittemOEbx/iQrNXXTNlN1uz0Plpzoa3Vt+AGRWM9/AUTt2dUJ9zIeBvkgO/tpmcGZJ6qwMDHSlbfP5nuYiP1lX1i2momwnCa9zoPCOTy2J8QcL0sfXMI1042fE2sygjNB31XttXsbNz359SGa2LFkqEGZU0X9u9gcfBNf3ougRjdDbr6h3+Y5oGR1koKk+zKjIMyZgc23E5ipIDqTsuDzvGu3m7FF0KuhRlGPNYucJFW1fe2tW2YvPrGxVDefzBSXk3e5jzHcICggSJM+oVhy6fjYUEBRGURgEu1iBkmDpASo8fUVYnjRcggr+NmwuKzbXKFYNMvPqs81QCmkm6lssKjP7f758+ewC2+5nuW3RxzfX3zfp9p5Hlrzi0PUmvpycB2VZGSIqqg3g/eXTZhMC6ile0NAIeW4CuD00v0115TU1iEPXlzh0PXXj4Nz3jnQsFvfOaMSdd7RLcmvahxFy4tWLzdUGm2s2n46KYfKMRiij0iEQdX68erfMTs7/COgosp1xYwoGTF5R1tL0WKE93CCqUze1hDsm7O2D8iDPoLi+c9ya9olb02KB9cQWRzFp5lm29+ggBMG878Xc+30AS073vvmefpBYSimV612Da1OplKVJ9OEbdvzHyuld5uhoURieb/4ZFRn5UNrmbMDmmsjiEQ0tr02KykqZz1sJ6xP9UrRDMSd9jtpfovA6O3L5xgB1zxcJxJ3c9H1n0q+CW79uIATRDl3Xhz588OOhYw8QV6fsFKq+XV/cSXszyXJ6z8HTbZpmZF8CkBv6jXz4Ozn1EnLKUAp0GrUATv2v5B+hTA05BjSypKcPRdUflQE9ZVqaFxUSM6EeXLk4dP1Xh663Am4tO3kyYK5TJ+ZHuz0TsCcUlh4tu2Pn79hcOjZXGWrDH5m8PV/kt4ylqJ71Y6AzXmcsXmdvvM5XgowqIj39XmC6CYqmA3WFqHTd6sSh6xvieveeJSwWYjTtLBfujhEqvwNmj8dTK0ajMNGBhPiy+A0YrCASuQmbq4kja+wAR9bYvEE5//I1LW3ByehjjX9IWXLJlvgNRUWicJEI0Msfa/ae7Z4oQst2QtGVRPhAw6Ric65Z1gPR0sxzE344cBch4cyS7duf8p87h//8eXvNQ1SRH1EAj/kS+R0VAJsKpay88LuwuX4IIc94HZVzKkNZ4g9YsMR0O/Jp3A+jTrddNmhrIFBWyu3Lu1sXa5321bIcozo5BjSqX1w/GRWGLSfPqM3JQUBQbLdukwCimjW7BJXm2FGQa7H41TPagPJqHpLIGtHq9mE74hr9lCO1V4/ciPIKP2HljYLCWBPwF2rTTcXrrBd16vGojZcdiQ9Y5MfG+pbL8N9/nyes1rNxffuWAoVZGQl9fvigDelLm15XDSI5VH5GPbePJfL7sL+ZuEhlCirH5pqdef/Li47IrvccxWSWAVRdZ75b02aFAbqUVJBHVEpvsKMr1DvjKzP7v+y++rW8S7Y9z/CPFt5Sf9+kMXidwdry11F57TuEIBQZXk7V59D1hQ5dr4+qby8CRhXF+/P7La+jiTL+YN6YYHeqBRd771KiE1O45bvHlyWUmmDUYZ6orolDldSGBN+e03zQ4codbk2b6NY0EV1imdh9e9P+rmduL5S2OcNQRsCr/NnbgrVUZgdi1vc7dxsxOQ8fLWdeqtxYwuyNogz4FEGAZ2d+SMBipYKutG58ko9bxh8YgwrPZwD9XW0Htr8x5WNe++ZpDsRTTMg3Ei2JtpgDqhMQJJ/OtdXlH6pM/xEAJACPx/NZlpQjhoNh3GKXaWnrjL/dgPK45tvt9vsjnb/251+/XWsVN70QCNBN15k8dzGX5vWgZXF7zJhPodCQ8z1LO/fCLKYDT9nt9jfDxxHp6dehwDV+oFu6EJuBErvdXi/82Gruow3qg/wxc9y4hagXyYayrL5E8cZW4bH1eDwOVMj2HbvdXhsO2dBzpwFTn9KeoK3HlPH5w/ceRll+dUIOywY2bEz89fjhmD3DEQT7Cn7aeM6cpsJsvgZobbfbDxmhntMoZTdEcmFyDo/H4wNO2O32iN61QLyHAjStl8hKeT8jRLgw+b77bopu145Tzz57Ahjr0PXvIo0VMuYTqDrgQ0CboDfm8Xh85kJ/zpV371qBil5cQgW3awkq/P0tMDecqtIYdzfQ4Zu1y0oScoT19JQpQaNzL3C3Q9c3X2g9QsXj8XwGjHi428MZe5L2NAOmRKj5rc048UC+Pz9/76lnnvEBmtkS4FRarn/Ki1nm/Lr+HyRyaJUTba4WqLW/AQOoB1CSbCHqrO+gMPl+4sUXxlInz4NDpoWsw5Oo0P9BiWxTzZw8wFWBgoLGCUtHf+nNiL/iXFYMKAU/C5jq0PVwsvmnjb9VHVex+QSAdThk5JZr1YhA7AHaD85k4UoP9wYCuJbM7FSMKg+LAgpFQMy8M/vBvSbMd6NSGqFG7nlUlGoJsx/7EEvgT+HgPOodWiCRo8MuiRAEgTqfSWm0tHOL9cDl4SAZt6aJXb3yFybmWu6+ZH8MElksELNG7NoxEkwt46PyOuYvqLMb2IBDXsiAVdfPrr+d+jld3eth+FFa4JAR2y5WEreIDQQo/Grplf6yg+fNQvhI8tWTnfx9RMvcFsGjSlBG+re8OuFZYovP4ZCNhGATKspyvZTlZVYA+N3CP2Ag/rUNFPcxQr6LqgU1A/FysfgQxR7WD4fcZKzJnag9MvWcrz6b7jhV7H5+X4w/yvhG3CIX8IsRsi2QtfWVbqJb8+3ncMha7cf/l/KPUaavpKc/OA8+PAb44A6ZlhZsWkwIunK/3W5XZQY2l0CFFe8BLl85oG79m8c2pevJEj6bvLpkT5THUmjONyMpQ6DIvHXdb/SFzADW2O32Sh6nSE/vgkKXmYHrZFraLx6PZysKXBNXHfF5uHg8nmLgvN1uTwVwa9pYVOgsSd0e8wGnQSIfPCcatQHtsNvtXWu1aGoNBu/qmfuC99kr+zZelknbz8upNgtQJQRfAR/jdVZiYzGI66cB8VEdOvhtjz5qln7/S2kDBrwQgq6cK5HjannPR1BKqzIqmPLQ5gpUaLNBdR7ZmuXLvzInJNx2ato0/FlZoJTkaIeue8KPFQgNBV7wAc2kbU4Uinv4hp1PN+uc1y5O9B2zB6E25iMocvb3a+L5Ncadg8oxbUz3pPuA/mcWLLAX/fHHv6kAWW0FRjp0vVb0dh6P5ybg21fbv8qqhqs2SuTFNIIPH+ssEGW32+PdmmZP6HEu/fzWJMqiJdYSscYkxUhH1tjzqFzU7SijKtRrOg2s+3tyi+Sz3RIGIMS19sw0HZVm+AGHUsYC0QX1/qj1RVYxOoz5TEK925PsmWktpeShHxe0+M+Zk3FDUUo7H3jBoetvRRi3qURW5nF1iyRU5GAVDlmrVnjGuO+inv8G6eY9VMTjJRzyhaLU1/oeiTmwMDYQ175BaRNiZbAooNyw+g71bpw05mAFSj9ozcGH+9AalSZpHSl0brQDO49KFyVJSQFusQ3oikNWivwZaZhTwk/sjGEtlzXfF3szYC0OxBbNzng39qi/4+b8+UmXAT/hkBcs5TF4gaf3/71FYO3BI6ZWjx+47lBW659rPMnmak7ymYl00sf6tvSSoihKHIjdxc74PykxFRNLQmlyccqzaQdXVDgablEKnMAhWwhBB2PNDktJq9Ch524WcpyKq/0skdcZ6/MaCrD3noE6vg1oi0NW6nC0fMRlW3/f0L5bh7gt5CX5ZGKuZR7wiGPyrlwg11Dk322Z0X1ow7onzzcad+pCjHf/5/KPCPOK9PSkyTDrGPAMZIUqUijPKZ4WPtkKm+tDbK5DqI9xGXDTXy1i6t42ujENJTyTEnWww6HXYwrN+VZgBqKCzNutaS9mjht3HKW0Lg2bQxNUqNUC3CfT0oK5t9oQn4dLsG7UCuDQ9bmokNZkVK5yjDGf14KhJ6NsIgdVt1a92FydsLlc2Fz7USHKFZ3+SuprPZnPmV5JAVRD29Z4nQl4nVfidb4drkiNOZX3LC09eNAnfT4K1q2b/MALjX8iUI6urJUiNSQYiq/kdRq8wMGwzTU1hTbNCQmLAOo/9tgXhNQ3ujVtp1GeERzTGlViXnvVhtamvX2m7Je2OftRBtIkoEvCkaKS0npWMv5lm0IFYf5DtVCk16EUaZDkYhVAvfvuu8zIifdDeafdAd2taWvdmtb8Qgsz5IohpXmWPPrm9A0QmTzjYqScweiZzbuOPPHeCWZ+foj6xbbcjgWXDkg7d/0JP758VCOIK1HGhAelaOLwOhvidQ472z3xbYPGcjgVXLLnjXWwotIiJmB4dYrUkNBm4XWEgMGjj0xDGY6LUErmTbem5czv2eH+kHHvrKJIlQRbnIWTxFcrIU0clBd5rEkrdnSGGZPvx+YqiZXxGzsWXdq+eUmbwHnL2YKNiWvk1ymf4E6de96dOve1CKxk9U/HwFM9aI36XvtVl4M2SN5noQzwd41fVweSWQfESTOvPPv1oduNNfo0xlQUNbnFaJ5qPO6y7MwYiExDGH7PvTB4gRftPL+nuDSaw97Wc6ocqJiXnNhca7G58oAjnK03lj8uwxKfX/JGYe+if/2rEff9to3DHYuOF5FvPRFzdLZb0464NS2Y0y/P44YCn0K5dWN94vYne0CHXHxU5qx+DmW0PODzm4ORsirvU+CBP3L2YacJAAAgAElEQVRnDriSVzPfJfpcbAlGeP7wjjrRgUA5IOv+OrG5bDvSPSH8/H+C1EqZGr3jdgghtgkh/jR+95IQ4m/jdz8JIRpfaJyIY6enW1Hkz0mPQOF1QlQgzGyuRthcL2JzbW3+xelUaRGW0jrmB1GdH44B8yc6GtzXa1YbURRtCkwXnG8QbWoC5TmCSmTeGGCXslOnzhKC+BTp6YkoLycWmCLT0hZRITUSn1cja42f5axMxnxeQZXqBMtBnkEp1UmGUt0OxHg8nooNumrZjg48gioPOjlr3C9nWv0xjT1tTmcXN08web7q8hxeZ20Ynip6lpaVJQYKCsqszZubBixLvvblO1vyztVtF17E/YLygEEhsEMlWJA+VSKrFOyHyQpAWpKTL3Xoeh8UEYcOaEi2fNOhz97chtNX/t3/2fzs9q/W89z8OO0ONdBQIdx1KMKDhKN3NRwOcMTRsHltyTMMkosKzmWl9IPvwfUADl3f5ND1DoTke6gox4iYExeIpCJL0de7EndxRc4VgdrmSWuQVQCJf59/ZuTHA3e9+Mwottz4EkOz7kjqmX8FCf4kDsbuZm2dlYGvUz5Z5k6d2wCvMw2vcy5eZ2hkZQUVpTbh9HcrUeUWiyTyPzVNxq4wCoWoWtrgZpllIJLvRYVRvwGSY4rN8x5/tGm9vsvrrJbI6uqpKyn2C4lAJFtLTV9fsamVPNhz6gFpm+PljYnTmfcQeFMbG+N8B9wmEJYGJ2YmHI7d26DIXLAShUL93K1pGW5NK++Fm22l4ah+UKyyvhcyJkBhCwqBEUIQS2QijVnGGm2RyClQjtq+G0jJKG77e5Pog/y0sBXfz219vVvTIvEwB8cKRdze2jL2jN8XsAC0jxG+K7G5bgpSWqKMkjmodxVgLZduncvMifD89HmTFr61ZNeb08nb27d4yleHm1HBNNUc+Nmtabvzcy3hvVmDZTnvGfNpUGJmcXIpfPEb6yWy/N6NrjvvAlEb9vcLVkRUMpQEImlMX/onPDOTHeev4r7df+1B5aPZ+F1T0/dz2zR3a9pziztp2al1vBw7c4lJCCKm+y5WhBDzhRBZBh9v8HdLDb22zdB922o1Vm3CvEZ7tV6hvLtCiDpSyvPGvx8FOklZXid2ofEcqNY5zVi0yEezZlZgmccvE6TFNKjXo3t/jz9R2pGQnF9Ot4T8nVNaJiRvzfu264wjt+F1+kV6egtUo+Jo4I50IcaiLP9mdrv9WOg1DQTdh8Dw2J49zfXuv5+8n36aO/Taa8ejPMlmwAcyLa3KPXg8nlLAa7fbqyUCCDu+P0qhLrXb7XdFOsZopTYHxdBiBnKThg//OaF//2H1159bpr11LAHVXi20cP0symNbDCwR3vHTUJbftnRP+gaUdX6X3W5fykXKGs+azVLI3q9nDmfEzPoBi1+YUJ7yEw5d//RC5xvsTT5gt91u7wTlvMCPEixIr4V4PJ5TQD273R6FzdUFGJtjybppd9y2JhnRB7HKKGzRbTjXMaFs6Orub5mlaW4Iz2/oXMqAfXa7vVYlSgKxE9V9qBLJRU1kEqH5HpQn8hUqLF2eEw+O+9a2t/Z3z+3eFuhosHZdnNhcjYCHfLGm20pSrJ3jjyudXJiUR1zc+QJONvkC+BCvc5Nb055AIbMTjHX4AHjcoeuVNvjytc5MuxuFzHxVODiJ8mqrDW2GSzAVckXmdb9ZKO0PWHDISte6ZG/M873WJE6/aV59oooFAhHsO/trpcHc4hYUJeObOFSJR4S1EMBgYPTqK/fe2ntbM3Od/PKS2QJaHcjl+uWNScq9g8ezvow4BmBEFT6lQtHsA+57ftOuOYcS6eE4zN7FLWXt3h/Biyhjfb5cLIYC8ThkPIBAKIIGlXppUF3v36vb/pj9zjUjU3ausyEDAtQzqLJGArEOBQpUaZi3bBn+A+2bfv7JC+KGqCMkm8rLVMtQkZTlKHyAyqe6xSjgkx1JvN/1BsZwrKmJjrugILGllBwx1kYDPgPZzWSWNGhRkH/yYGJvh67vMe73L6AH1uKBlMbOQ9Ly19WQllVBuhCyNmagYN6Do6NG2xcgRlQJf+8EtOXpcOMA3z4pze2Abos7abv63JBZunVNA0qLLAC5A0ceTvpiz2ge/eTFANQXKKP2uf+WDUmo9p35wCdSyirlj0KI2UCulHL6hcb6r8O8QUVqSK0LaYNNwYHmzJolaNbM2mavVxYM2zKw64uHBwEUNonpgwq3bkQV+9fdOaVlY4Cz3RMvMRRpMsqTiwaeNELDK4zL3B122Uq1e2U5OR4A37lzY/v98UcRSpGuiKRIDamO+Lw6WYfaXPtWd4BD10scuj4GSE70Ja0xS0vS+WXLhkl/AFPWuduooWwHr/NT4R3fG3gWZTFeRYUHXWvmmVCZ13JeqkVaqHvl1estflEfRQVXD/jEIDyvCmwJEYN5yosKzYbyAudRUZBes9hctqSd+bmAtbjd3GJUtGBsii+18ZXnrzvW0XzF7zv65HGibBcFf/9uWWr7oIM7dW4V9GLIXMJrMiOKQLyFUqSbI7BF7UcRHFSpW3Xo+lKHrjfA6CyEqrk7FyzHCB23e273YA6qxm4s5WJzRWNz3Y/N9Qs21zlUTnOqpSjQuaieibUP+hn09VsFMdMmw6RXP8HrHI3XucmY11soQ3Q6ykNyoiIg08MQrX8B1pzoyzoCrE4lCsXAVMaFy2tCZQ3Ameg+TdXCyHCvrNPx9iXTvhmbXbbuxtx+ArEJ9WzWGCH8niGHB4El58LWo0p6AxjW/Hg9849X7ykiNL3x2L9/ou0BSPVWMqjDxaAovAr1jLYC7QJCrr9yToMe92w1s2gjF8NGNg31LY4KSBFa+5tIxb40pDpFCjDc/tXnXfpns73RXZmolFOVNRKISXH5UVc8uOjyHGmb0xebq5hXpl5i/uIucXPUYX4qa8ZuX90VwBVGY4kuRmOJUGBSCsALXRgFmPj8zlkUJEJFj+Pycr96jYuGtOicy8mDCQlAaLnfvQA89+rXQMvmBWxNU32LqnyPhnf6vgBRWBpX6W/Bb+TWDAquPwFSmoN8vgsck3f5WnfL5Wbn/nXAUpCJqz9rSdNDv9Anab0JRgmUB/2RoVcuWqSUa6mmp6sQQqC+6c9rM1ZtPdPDKK9IAh9IKT80fj8DpbhygauljJgDCR/rCND8uoVL+al5Ki1OF3LQeYiA9CNiLPvWfaq1Mxf5d1x5/cAqIByPx3MOsKRJmYwClTQG3pZpaU8Yf2+AKlhfZ7fba0QCpv/6q+/j8+fFZ0lJpkFr1jBy2bJDpmrALh6PZyFqExxkt9t/qjJYBPF4PBlAY7vdbqnyR4WufAQVPmwLWH2UsTtumzw9faAIlJVydvack36T716Hrle5ntG9JQvleaRJpMe4pg/ItNvtF8zjhY33dFJp0qxvN34LsMputw8BcGtaE5SSDub5KtE4RrjnVcCg35N/7zGx68Qgw09fiYyMfrW5rKiw8HCUF143t30c22a0pt17x4obrTmXjgKSLBHe8aCebf17pzd899ql9e5CbQp+1Ms+xqHr5WHMIM0iF/AEBWIAKmSWh/IaKoHMPB7P26jw8Ui73b44whBAOUXhROB5IK7MGih779VM6+br8vIw0SDdk27BQIva7fbeEdYiSKw/GmUchbLmFKIMi2X3vvPp96k97LsHZA0Q+YE7nxmWef514DUcclI18zKjqBIfIgwQ5PF4HgQ+bFCwcm27c69d1eBf5GfHkADcIZHVenTh4vF4ugNbGucvy2ubOycehywvizFqiU+jntUwiVxmzOtS1LvVxTj0D2CkY/Kum4BZnK7/DK9MtaLSK51RqQJQe1Dmxh6H9zo+WDTwSIucqs/NLb5CGZWtcdRcJhQqYyY3utMcMC25/IckosySOiklR8+eik1z6PqR2pwvBDOA507PTfWl1vHm4JANjV6k3YDXJJGfUci8nwRmD5ixml93DWi5uJOWDHyCpDNAimhSEHNJ2/jLt7fD6itf4jMM+CWRzjv8dV/Qr84lZiOgS+Ocaq4zDZjaexD8mcIiibxXCDJR+2kLKTkacmwnQD++L96z9svmrVAgQwmsHGub3un8ilEtCJjyzqwseDC5jCXAGzjkhAhrY/3+qRtLOjbZLdo8edAiJf7Qb69wCZmxAdrhkGYh2A+0Gdx1xVUrJ96wFliBQ96wfYytjVVG7d+5MRmflMTWSeHOnb9RpoLGR42e2hctQogWwA/hnqnhtb4ppYzUramK1NYzvUJK2QO1OT1iXAQp5WQp5SWosKOzlmM1AzALSTIw1TWTBXU/oFfxZGk+/kh7TCLXH2+pzqPYGZAy3qpAGI2BZUFFCmC320+jQildqjm/XD4XouCzpCSTtbT05Ij//GezqRqwiyGViM9rKcG60b7l/fpsrnXYXPmo8M3TqNZoZ4CvLFiv71LY22xu2GBHVKtW+KNoREV3jHAP14NSpLODitSQ40DTi/Cgg+jK13KjcksDBEqBci/BqG8cQFUaxx3VUBR+D7Cp3qYfUZvfS1UUqWKU+Qyb6zgKmLAARb8YDfwRc7pkGlKyb9wlOl7nELzOxQZV33JUjsu94IWTzpDavUJUB5Rct6a5Quobg2U1o2q490RjzhK4LlyRGlKFwSiSGPnnV4GEggTfv8809Fkfe+oSFvboYF2sdXoic9y4fJQyrQgb2lwdsLnexubaQwWjzJ2osPFelBIMMi/1E97xsxcN3/zTX3X/ErGBWLrm3xcsuK+WJMFgeRqPAXYhBBB08rnnzAAF1hbtX+0EhiJdfDGKFMBut28FfPnWtpF6ZK7AaMIQVKTGvLY7dL0rynA4KAKid71S295DL4+aHnhnPLzywutEYCUDooV3fOfLf3zz8iMtcqp7buV1nrW9B4EwfzTjlOv9mSc491iGp2nbPM6eim0OHHJr2iq3pkXksA2TKUBRflGCxR8QJQIxE6VIt11QkSqpB5BbUIerLJnfOLLGTnBkja03NMdBy+J25MjM+JPH1+FJ+anwrDn7FRSlZQo3f1tE60NF52TMJqprPh4iy5oq/u6oAKepyH8+afycH3Z4CkDTdgX7wpimrn83+/kWzgmNiOn+W05yGUF0bcR3UUrKtKZ68dmCZIBXw7+92AAxVOSZxwJsOdLjPYqjYeXgZthcWy/9dore6ZtnuSXrPloGuoBFUpZf7qv8f9kkPCjDqaVXCrVUplLKE8bPLFQ+I/xBual9eDEDQCz9hGVAoGNHYqx+JjRrJtyats+fm5sBJHg8nkiAjh8/A8rU5r5JpqVFop7bCyQZNXkRRaSnT/oI6nQHPoiKenDUzp2VwS6wxa1pv7s1LVgDtwr10GtX92ZzicbLszMAWs/PXEOwX5/KcwTRlWOpQFfejte5Eq9TmmJiVgizmfqPPjoVFXpqD2x0a9pWt6Z1EogXUew0OyTy6bArb0I909rVqFVGbd5pwhSxe00EGsfOKIrCTSFrBPBZgACpJak24E+JnIrN1QqbazY21y6DPGMNyhttiOpg4QI0vM44vM7LovePfREhcglROgIxFhX2PkZI6zAjnJlERTjzEYxwpu/MmUo0i9XIOkJJLiJICINRrcg0HLoux/y+b8BTyw+wYXDuVmuZyYJSCmf9hzPP1N2el+Bv+u6f2FxBusfHUM84lFHGitfZAa/ziTDmpU+AZsfjjm8COB/VJTiniGGqsHmVg11QQKvkwLlzc0uPH5c5Isn2fFdIKuU0NRgfF5CjBdaW5kBIQb1APIIylDKIkHrB5urvyBo7xpE1NvqO7Afl4HPDaOW9LPZ8Rj2OJe4pKBQFLxGW3sDrLEM9t1iUsRbpuSm0p6P6kGoE+R7DWBsfV/DnFbdm0q5X9mxUBGgQcMqtaV+6NS2xugEMZO87UdZSvi1ol4yKVATTMDWLzdWGpXfcwJLh/Fj4F566X1+K2swbJAaS9v48pvTEzEUnyWxeUJAlj8StTPnyWXfq3EVGjXYor3KwCfi8SJcRiE6rGypl+sIO7g+G8qVkKSryc7UQlcjsK4HTgkxTi586lVUcH6BfegwfWu9pseyjSx/3qSdf7bvYwnak1Oe3ADgJiOC397LxDJUytbmiZX1X8/fj1xQtE+s6y2dfg1U3dAa6YSkrLvjXNwxY+TZ3bv6C3mPWEfK6/VdNwqsTIYQFZUDXGn9yQWUqhIgXQiQG/436OHYKIUJLOG5CAYFqI88BhWvWrEEA/t69mXjwYGGe338EaHt28eIuAKWHD1cJFdwiZdf5gKYs1epq9YIlLRG9SJGePgKYGQWlLwGthLgZwKHrWw2KwjQUIOkyYL9b01ZnjhvXEPWiVR8+tbl6hpbttFl08klzoZ/8lnExqBDdDKCZ0dcyDa/z/TB0ZVA+AYhu0+Yyh673oKIco5sUUr9rduoL8WdNRURW7EGPorb5gyBqc4GBrgyikG+OdHA4jSOqeHu/W9N+cWtaozR7Wo+9CXsYcPRKShu+7TMYZQ6irN6OKIv2S1SEw4rX2Q6vczxeZ3i95k4g3uPx2ASiHQqoVUaEEgXDI5yK2kDfQYG5nj89ZcoJf35+sXHdKiIQb6DQlX8F0ZU1yDGgcW08fmPcLtLMX65PJvW+xXv3g5edt5+8+uyNSfaJ3haXvnQEURroicqp/YKqB42phlEmdNzbUIZEzr7EfVcCvmJLg6A1XmtieYeu5zp0/RagCbC6eJcuokwNTBMntWT2xNRXLiJPGi4b/KZECiytAsZ8O6CATGUE28DZXC2wuWaFsJKtNe6pkRnzQeDdI7e8vXVrzwX8Fpse/43tk8nu1Ln/NsCDwXV4A2XMKWMtslwUGbphrAUJ80eiqPfoNSjrW4euN0SFyPNQXMZn3Zr2sQEgjCSTY+JzefK6nEQkArheIquWuihKy6eDlJbAfjb078bW7gizL++R/KsYeO7mrYBVeMd/PHXSisY7e589+NTyAwmofOUZVGOP7N2/14v2lyllKiUbUHtxFyEIzUUHQ+5ro/2KwGTQKXaHzeppFEI41DsNOjXlHqdAfLhi9JnUB9fv9RwtbveeT1opySrr+NUbHfhxQYvBEZmmUKHe1KSsIm77KgaTVN+ebc5UbK7rWDWoHi5nsNZ+3piYXbGxwk96gwBc82M6UDf/zQmjb5+6mo3dj7MgXRJbsXv+103Ca5BrgD1SyuO1PaE2nmkDYJ0QYjsKSbpcSrkKeFUIsVMI8TdKwdaKtSfYFLy4uPhoQUEBzZo1k5mlpQ8+vHdvS6BP2bFjB2QgQLGuT3Rr2jq3prUAEOnp08/BsK7Am1Ak09Kq+1g+MX5WgZaL9PSrjb/7LXB5ghCSMKvRoeseh663RimUEyjFkVmwebMArB6PR4WQQ8p2jL6Wf6KswhbAMRFgvjRx7vTVySV4nZfidU7B66wREAFgt9t3YVApGvPZ5ND1Dmfrl928/cp8OXR+fd6/qn3sYq3Tkgihp2Bo84KUfALxOBW8vUGYeRARVyPZfCiNI5KTwECzNJ/4of/Na9I+r0vDQBOE2dIXZTb+itqMYvA6G+F13oHXueoCJSs/ApRRNgrlhZiBuyUys4Y5+R26/hgh9Y2F69fHSL8/YemAAZVSEAa68ilUSqA29IXBGtq0mg4SCHvzo/WeeuK9q31lDd5uAJTFyfgFbYo7NWpQ1qTkeMLx/L8nNWPVXUeDNY6z8Trn43XWWC4jEI1QXmsAuMooPcjwi/gEI6Z6QaxCuDh0/eQIfdegeff+WSjMZnoe6kLsTyn/jgAIqq0sBTgX3dtkbNq/RRVbzO8+fYdb2uYsjZDeyEGhn69HGVZt8TqdLa4+eOzq4Rkk1C15AfV8RgDn3Zr2buIZ8zWo55ZPzd5epHBzRBGINlQ11oLeZw6AQ9c/RKHqJ6E8wNHGnGaH0ybKxSLwSp98jrbMhvfGbi1PwyhKyzvDKC1nEUppeYd7G69MImW2s8t7xV1PrfFd0k28s24AqolDKUYjDIeuLzLSHE8ABVt/aWj6xtWuuVvT3jV4iKvzTpcDKVdnccr4f6UwuJQsNn43UAiClQtBQNgZY72GGuOfw8K1zx78+pHRezbvPByj0oo5J+JupnK5X6hYz7Y5nFd/lpO73rqV0gZv1yGY3lh5YxSnGgmM9IYQtB8Rc2n2jfvGsLF91ja8zty0a5i2sjGk7Sbj8hxkqXJKj/L/okm4EOJzFNC1vRDiuBAiuBfexUWEeOF/zIDk8XiCTDsNjXwnAOm//FJSduKExfvaayZApvftu+ujkSM1hCj8BjLqCtGBCL1PQ8YtBXLsdns5iEOkp3dCMa9YgOtlWtoqj8dzGqhrt9ur7TDi1rR7gNnWFi1SUp95ButCT0GfH+r4zVhCqfpyUA/kE+A/wXZcHo/nZ5SF09JoVVbbddmLAUwK9mcVqD5+A5bUXXH/S417UVGOsQwFn88zzs0C6tjt9pjIo6tQDyrvXIndxvC8fECG3W6vHglrc/VChakHAM2yLadNfyds5lTUceIu7UHyQw8QdSR3Wr97bnqxtvccdv/NgSOe+p7sqdrU+sAXEnkxpBm4NS0pYfDgjUk33dTR+9ZblO7ffxIYN0LftRoVZYhFKaYqvSYjzOcmVGj0I7vdPqbSH22u5sDDpRbf0JMNz2vNj5eznAWZl35GlSVsB0hfs6bYd/q0Kevll4Pk6/tQvSYjhpmN/qQHUcjOJyTybWNOnwIju3qfJLl0S0cc8qLLbQRiRYIvYcj367+jiXcRf0zdvBNEEIShAEG6XiuCf4/HIyyBvEDSmf3+1X+ty2l3sEHq1evaElNazjGfh2IXWwIsqiYqA26xGvVeRblndPKhAF3PAjEnm5Ww9PEsttrz+pfF1PDc3OIYkIpD1tg5yFD6J1Df0giJsSG7RRC8Vh9HJQL+INBsJvA4Ks9fZPz/ZYeuy+QS8dq5aJ7pufpSzlyXXronebE7SsjqKC3DmZd+QRm4cWKE/Bcm/2fs7uCj3QELcGuk2ly3pomrbs8I/LmqkSzMswpj7Nkjdu0YBqZ2QDcp2W543+8BGQE3x0UEukMAIbgHher9UUoG4xavosLVdwgHa1A9eKOAnhK51Tin77hrXRv/PXI8373b9qvifOutGOV+wCRH1tilwAM++6+v7z/djo57lJ4ulSaiROAE4GHSy7fR4HQ2I2V5+eHCh++ZP/rDBff1ab3p0Kb9V8wSkrnDMuCz9YyNUlGoTByyVoj9/wv5XzMgBbkdK+VphNW6P6p5cxMxMcMPNGt27vNbb9VsOTm8MmPGb3VKSoKAm5pytEeABsHcn0hPb4DaHKzAgzItLcg1uwWI8ng8VWvJjH59jqyx1zuyxpZe8XcXZEkZZy/xxX+f8nmd7fGbT/nwTQDqGn0th+J1hjeIXm78rJovqlnWoT68wVBOG9YX2LX6rrM3hJVj3I4KPc0zQk9bgWiPx9Mq0sDBUA/q2TtCC9JDutdU7nRjczXB5noZm2sbNlcJai1Ho5L+GT8Ozfj7bs9mPpieebz40P4CgOzdG6a6NW1OLQjPq4jdbj9aaCosi/PH1UeBqi4G+AWocGbSTTddDxB/5ZVnUOjYr6fc3Tw7NcMah0JXXlCRGrIcFTa8ymCUeQSby1POKAOTpAltZ4eTrBig70NFNYLMSw8HFSmAMJsPWBs3tpqSk7ui3r92VOTEtQjXno9SpKuDitSQLwCy4gbCf+GZCsTDwJB8S/7xaF+2LEzsgkPf1QXlfR9E5eX3ujVtjYHqjixGesM+bMfBpO1lFJZo5sc+ujq17SEbUaWWYHqjaS3SG0EJ5jvLjBD+dCDh88dPe6UJHn/yEhb17LTKrWlV0kAhEk3tyNC/QSnSL8sVaegcIuT/jDlNQnmvH6D2lOnAuVl3dnl/4E9dn1ny+O2sHT2SQ/U+i4oS8l6gKeo9+QjohdcZg9fZPQLzUvDei6RkMf9+tJR2ByxkpyypjuTCMXkXTdvlc9Mj+39DhdVNwHPzO/S6pFPcJoAFYamSy0UNYXApWYR6n64TggZU1PrnYDSqQPXg3RpyziatiZ5nscCCslkf1yu1paSUpm6yBCxJwNxfk5afOWvJfp31/clKLmRNvwNH+5+71R+f81ChyHY2xet00Oi0GVNlgv97r/ok686+S/kjt2Ur/KZ3430EPtoMUWouF91Z6P9vqVq28X8ri1Af2/VUsAKBAsVo22fPbv461DH7fHLy22/nNzt5clDWjBn+hi+9hPT5bqciLBku61Ce3WCRnp6OAs3EAdNlWtrHIcd9h1JYo4DJ2FwdUEpqENAG9cAAfI2Lm+45WiBbyt59zCeXLfPp8X811OP/egmogza3Cpm3IZ+igEeDUB9cbeVzlLK6UyBOY9CGEULV59D1992a9gEV5Rj3A6Nyv//+t6ShQ0GV8kTKKQXRlZ+GoitD5HfgtlO3ffZaw7XneqPCzeGE+RtRz+4/wjv+KoyC9Mzb6PDQC3mFgaKisujWrc15CuH9gFvTIhKeVycC0WZC6gTrgKwBdMjtYN+dtPu/Cp/Y7fYjHo+nJK5378DZBQtaH+hSuLaVHttk9g1tMAXEUDfaVw5d/6vGQWwuYYcbDjkalCbtLmhPZfaWfOC3F59aUTTjyZ+uK4vyb5PIcCR4uKQDWqMZMzrZ7faebk27DLWW3YCdbk1bh/IIjwrELVTkx8J5alcgJblRXaAWAKRQMUKbLpTCuTyhbP/+c9E9oj0eT7RRGtbGrWk3AXNRZVHH3Jr2A3CPI2tsDPAwCifREbW5Asi4s4fJ6d6Trn+86dvR4nAribxgWiOCVNnoR+i7XgFsq+7O2bqoR6dtKOP0dbemPQtMcOj6x2FjVGnsHWENHgRuRHla4VGPoFKr9r1z6HoZNtcThaJgjx7/17MZMQdTm+wsfuiRJ5rQpbQ1sbH5xc97r4paWdrc39mcE7uwpFO1LRxDJA7j3u89QaIAACAASURBVAXiCR4hik9Hwj0L6tYQtK4HYDKT79D1x92aNhF4P9pUMmpyi/vRCy7r/t2a5C07B5w1AyNVqkRcKAw+CfgYhbQ/C9BjEGNQQLn1Evlq+Am3Nd58ko19EycdKv3uCuswCyB8lKHHbQnsif/btDL6S86m+th6X2bRvFvzWwwUzEchiaeh9qlI3XLqTrllOks6LgYpTLO2sDqpjIGoPSiclel/Lv9Tz9SgIisijCcX+CxPSj5ULElmv8UystnJk0nAM/6cnGJfTg7Fu3ffHClnYcgSgDIp70SFM1OABTItrZJyab741AoCkpTNuY+FoCsfRXkLp1HKurxfX2m9qM2mOgmW1BdfbEUI2AWVP3mCMLHb7TmoDTeSx1GTrAYCAQJXUEEbdrNEVoKdh5ZjYNBv5f/yy0Dp91OakTE6PGcRgq48Sih5gPLCh2BzfdF16sGBACa/fAa1kZpROcMngTp4nTa8zpvwOpcJ7/g4KrzvIRJZ4NB1aYqN3RfVti1YLEEax2rXKFyMsOa6LXW3EBuI5f1t7/83LelC5QBQf9zWzEumLjnSeMJ3B4oCohy1/adb0za7Na1dpTNsri7YXO9hcx1AKZxvW7lPR8eeLKU0wbwfeA1ogdeZKLzjn5s2aeW1ZVH+2qE2K0pthgE4dH2zQ9c7olDHGSiD6fDHvTqsjskXS6nIk5aFDmK32/2WwHlfsaVRjZt+uATXF/Vc7pXIY3VLtpcGTLEQQpnp0PXvHLrexBqIesBW2qigc0HPodecueVMgMAJFNNPN1Rk5AfgjlVpu6wzRymdNjzvwZX/pSKFMCo+geiPot0s8EXT36Hro1Hf8zIUUGieW9NOujUtNFIVim6NtAatUIaCj8i8u5GVjfpObsDm+gqb6xRQGCfj3+qdf1XqpTFDAjndkzkRf4yfEr/je9tnvtXWrOV/+RtYF5V2qtIAvhqJAwJGE4c3EJQy/p1spGWQ4SVGkuDv86CcDOY+IOVESYvfmiZv59nxjeJfv7F18WKtU9DAqEJ3GCpSMh+lsAbnFcXXB9iXyJ2osO1AYy2aY3PNxObagc1V2uDD+9qxZAQtTXnWc4GoTOADC9Zulx791Ox65eiwPT0KqJtlZsCUZrFuTdv7TturF6LW/2mjWYCgqnKss+qaPTB0OTz1BteubxU0ZINMfLXmb/6/kP+1ZwqKYaarx+OJDuZA06TcrQHnlbKfJNPS3Og6wCy3pr0hfb6zUS1aJKE2+LFuTSvPWRhj/gzIVxV7RTTws0xLG43NZUZZoSOBPi2g3tkeiZTWtcajXpR1KAW62IDgh8sqoL/VZhvh0PXH3Jo2CfVRjkTV7k0BnnLo+sKQc/YAvTweT6LRyPuCYrfbpcfjOZVnyWuJesnelchqySKM+57o1rQplJW5yo4fHyN9vqao8O+zDl2fa4R6gujKftI2pyO4xqGUaysMLzxpd6HPVBog42Zbdur63D4X4Pn9DeVJvC6RoUQOa4UQHZu8886vmePGTUCFwxw1rFGofAM0OBVzag0qd3YbhnH0X4oH0JoUNVmVG5Urcpr4htz99y6PWzXXXgD0Ngcseze1uu1wj7zL86OIbkeIt4UKM6/Z9VjTLG//5AnAMrvd/iyAQMSj3onqUZthYrfbN3k8Hj9Gs/CgOHT9F6C5W9NuB+bEFpkHzL6+LcfbFG/v/HtCBnrVseLLDhbnxvRI8Hg8nQzgWm3kW9QG/JVELgaoV7yh7BDjAIZhcy1FKfb7gatu5/6GaiEkZy3Z7I7bxinr8cAZS/b8MnPJuGDnoxsD4nsTVoZnlnH5mcv/K55uQ8rrDY31DaaCytmDHLqeCwxza1oDVPTnWuArt6YdAe53TK5emRrGxHoqQG2RlH6FsrG5NBRN5yAUuDBovJehIl4re/z8mmVrt+OPA7tOvxbz8alDibP19fUTHmkycWjPxF/ll1njxwvRYqLBBFTjvfuUgvFgpGHITa6LAhJ9jPKkwyWcVxlQayQQn0XnmfsPfu4Khq3OiUHIZW5NOzzk/uiE5IYlFwqDPwd8+OPetF7Dui3HFzDLNTePe//qDe1+AlcPKkLhAF6u+jXGd9kfCU0mHRFgypGSh8F4hrewaP3Nufz9URSHFl1yLv9cdLsUa5bnrTbXnXkjw1Uv19Qw6ORUUo7zW9JpUjewZNU753vnsbrT+9ftv+jh+6DCEPhHKdP/dc4UFNoTDEtdpKebgZ068DTIdCFeDz3YoevS2qDBcnNiItGdO39LSM7CrWmPgFJGH0hZvBqi65/3HSy7Y+cJbK4M1AewGBUyiwe2BKLEsby2sXi+6tIar/M6vM6F1ShSqEp8XoXMG1jg1rQTIUTVwVKd4RezKFvqbjmX5EsSlxReckQia0WI4dD1MoeuP2Rt0uTPqJYtwWpNBN5brHXK6pGe9MfgXzqa9/d6IUPa5hyigjC/DQqQsxhIM512WgNRppyCVrEJNSlSgZiB6p6yXSInhv05WON5e6T6RqquUXDM0ajw4Qk9Sb8G9dFUUjr/hSz+f9h7z/ioqrbt+7+mpPdkIBBK6MimSwcZEBQsoFIsgwqKlwiOXVFUFDv2wogdFGUUFRFRQRAkKCCgIGUjvbdkkkAqaTPr+bD2JJPJpHg99/t6f3iOL8lvypo9e/Ze61zneRzHCdC+sH0E8IpEZmBzWR1ZU9s4sqYeGuOZVDQ++1b6FQxtZcbcJdecbSqnbBWKRWrF42yBxznJc1HiM8Z4wwPGzkBdR68EmWfUhxNAWiipjUPXv5qg7/5+1meHKYn2ejtviulG9Zp4JVJK1vsXjAbV5AViMkpOcQoVaAIQnV1gCSvOJ+7voquoMo+4FqW73AO8JhDtViR9bdoes+mpzPCTZeXm0tuAAremPWcqF5O9gitHnSgnqiK7gkBjin+OcOMYQNX2QwVrADh0PdOh65eizEQ2oha71RuXNbGeywqvLY25BKVx/kYia3pO21zJbOmVxBfXm43GErtQi2lr4DQqszDYsOrrLDx3LdrW/cQ9GGWYRs1LTF3tHuzXHXtaCP7sG7dSvNT2qrBnW4097da0+sxkwp/tjIUAkwsp+QhVI7xcCILZ+6B+IwhqDGCk8ueWhpu8Sxcs5d79P203zlGrFfNaJ/z6TVpEXaxtmeL6sK/5dEFybmxSxQdTKEx/VQzd0P5hqrIvvwJ3ATF4nI0Y+02OpfnxCjDtA7oJgb/ckQFEX5jD551jyhh958FvMOR+NuvJpBfbXMPDTW+bWXjOAgGLo0C0fuBCujUvBltMbg8QJxdvHpd0tigBqtat/7eYBqHSYUasXStQfqHNhsCpy5U34qAQ7/kKIGXatExUqseNipRcX3TqkvOfB1wHv5AycjBw9KEDbSySiShd3SHUTrK7QQK4sLBN1HyjFVVwt5MaqC0tbWj3rjE+42cMsotb0w7lLlzo13LV2gUiGALR48P0Dy8AcG1z/Vjf62u832L5SZhMdB350KKWJW09FsJsD9yZFvfYlLbYTpjbGN9hJaoeF47H2QyP80Y8Tv+C8BfB3WuqH98gqnyBQ+lda3gTB+sbCThHbk0bKhDpqEYEFVT5wh6nlkWnoRh60dCRWWGZjNk2rELa5jTF5jpJlfPSJREy0mTCvHl/xK5FX6fMy1mR/JX1q0YfDXM3eudyd6N3wvzjGFmFSjMJgXgaVU/eKalpn1YP/OYaNa5tQ3oweX+P8+fmP346kio5xmRUqvwVf2kjtWh5hZGhHB48TohxW6MyBBUTvuo1UtrmTMfm2oTNVcysZ+MS/vRxPjXM4qsqb1yMx2nF47wAj/MBPM4DRllhFupeqyS7PHNDqw+7/xrt+2gTRFacOIuhEf6H58SPMKDMCNZ6AjtCBGvV4ND1Qw5dH4DSDe84siuB5R+1Tndr2h9uTQs0/5iEIoedxi//srms2FwTsbl+wuY6C2Tz2cQYNvf11/BWYDgv4XE2x+O8CY/zV2O8at1bjDJMIkDTNkV/O3S919ly28CNeZfJFhH7bFKyw61pG9yaFpIcuLoxMc90wYwqwwQGSI8anxFcG4bQOtCqVH5Y+S3kJxzOqUjrNmG3fivQPb1znu/E3jgTqsyxpbLMYXN1Cyxv/J64OHbo0oGIM42xeM06AeUNPM7BeJwuPE6/MYY/o+D3N/8o8B7ZslIR5oBzfrmfEIwo8CYWtY7QTd+93Y7lH7Xq5dY0mz97UGAB929wKkoeAe4rKo3hjeX3BH7nGj7A/yb+9TSv3W7/w/CU7Yuqv3UD/pwlxAsoHdoEVBQUCL8N1WBH1lSAjSXifKu9UTt6f9O9NOnjkR2Suhz38FiLRpy+LPlAm4WZDwDLatE2zkfVgK5E1UHrQ420tB8OXT8NXGLcLAuBfufXr//Ee+WVUkRENGiHZdygv+yN2St8+IiviG94I2mb6yLgP32SLJdsfv8C4nItN3TOv4StTY+wJ2KrPH7ykDgWfhAE2cBTDl3fUMtIP6BqIzej2ksFHp8/9SaAK0OlNo009QkUi7EajHM03HBO+gzoK5Fr7rmnWcWCGWfMZ1MrJkvkEePl/t3GIGpeA/Wdi7bbOh9/+sMuN9xwyZozJGSaLKhUsxf1G65ASVb2gGKrtQPcmna38Z0nANe5Ne19VMcVf1pvQI+zPS4lUVnH0VBXrOr4ClVuqHZtC0Sy8ZwPGLJzYFE5Oi+6Ne0lquQYD6BKG89fP6M4zCyL8YroOneCK8ZPM/efnv7nRRvamu/60F7U7EzCjoCnzzH8p/DIJu3LsxJHh//6dReH3W6vc5dtdJ+5d/bVbR7eeFne2eFfJkU+NLWl6c/0QhIu21lAl942FKnvtbrGqQXWXXGUUhWshQqmazuunbhF94KzVt/vy5qWeI5HX4hhzv6lM3MGU/kA8C6d8J97R6/s+im4hqBsSf3BWgmwhVs+7EaHPflMLqkvIFiDIue9LZF+hYC/hWQ2wF3712wQgg+WZE+9/aHmd+Q1CT/WHzjo1rRVwE0OXc8EZXLRpD8R6YVwKLZ6HVdK3heCF4ArhCBZymomHdV0oAb8qfzFEvmpUM99D8xz6PoA3MLbsU921ooP2xdLfL1MmPduTXf4uoheJqsMA5C5CUWeGY9912gkp+ieJ2l975GLpKzdthIVBJVLyS9CcJAWR3rgE90xSX/A7a9pVy6ADl1fKQSNx7Z8L+8G22vms2cimwJnbn+06el5s06n3nlIFvTLVY3tpeSrS7qsqnjzp3stwzr/3GFwx/UQ3AzhX8b/hp0pwPHvpWyKSr8eRS2sfgOC6qQOm0vYx+28IvJESVm4p6wjRr++CBnZvyBtSMWL0+4goaBY3ul6BWt5OfvTTzZ3N3ontzaTAEP/WQrUx8L0o1paOhSMSLk/iqSxs0TXBRUVSe7OnWuSXWpiJRDvNXvfM2E6i2LQhYZylHkRm2sXNlcZKi12U2RuRaOwnHKOXxpXkrb9Me+Fv75aPmHVLy2lkBqCrah1Y71b0/6qRY7hzxaMCPHcWtTO5DWJ/CXE835UeROHgEPXDzh0vR/Qc2/P4vyea2Mtb17ajoVapzsCzlFtPVJrQjnK3I/NtQGbq0gi9/fY1fyGscu6U54UVrZ/clOOX5l8Hyp12wGP8x7/Qhp0XG+hJsQnUenGaRjpTOnz/QQQ4Y34jqpg4r+JjkNf24ro5ZceVMppQsgxwoBnV85vlWjK2ucl1E7Q5hqAzfUxNtexAX+0rthw+QMJLz57Fc3OJJhRkpwngEZ4nImM+l7Gxa/xT8YN7r4x49tDX3w3JSdyxuID3yelFm85lxXBvvm7WkspKT9zZlKDz0YASgWWcReRTB3BWj2Ii00s55Kbj65FBcgnAPuY91M3zLv6Ykt+sxcZvbLrIqpbWr4NdMbjjMTj7EP37RBZWlLrJwAC8SjKhW1vUBkmUErix92ZZS3LHzy4PKxCmsehdv+XAKfdmrb4+TGtE4Ffc8Ph0414JDJQLuPHE6j5OtiIwb945xjHFZjKHw8gJT8Ax0x4+29K+PJhfrjckjj/wUY3eKa0viL3etJKW7Anervpm5SPWZ745ba7przeJnn/I7HvT9ogO1UUF+YXxxPic4NRxaBufuQevrgeysIEMMq4R0It+khJUWyLsM1j79tHeYu0PUWx3hL70oS0t4a1Y9wTTamoqKozPzlm1tm84gQe//I5P5GxrsX9/3f8r1hM50uZ/xqISJX31+SQIV673V6Ov6WXSj+8i811EINdmbr2XHipLYzzNus+YPbo6c3HXfRcm7DSMJM3Oym+T0xR0QXe3FyvOTk5HPjVrWnb66hZHABSMjIyrLU8H4gGGZ9DlZm3tUWL703R0VhSU+vU7gnEQ6gJdr9E3oHRsDwjI0O9Vmkc78bm+jXAUWY6ipmai2I4XglYSpMtewoai4jTqQWVrE2Hru926PqFqGBlDyoLsCvQaQrAbrd7UO4z1bsoKF/gXsAuSS29Jqvgl93cWNeLJui7uz7z6dG4xxcdzDF5q+sbTz/++BbjZTVZsspRZjw217IAR5lXUfWYioVj/8jv/+OrNN352Jzdz1xw46nLkjk0qWn7hjQLD9A3xqLM5k3Ao6cfeWS6lJJ2Re3CgTckck19Y4VCtWvbgEDMRbHIf5PIkOxPoyZ+B2oC/bwo38rpxRvMABVrNr+LzTU7ILBaD0wsiixrtuTy7dz+6ufFxRFlXY0F40I8zmfwOP36VFNC2Xb//w1hJPtTplcDZ4oS5OiRk48sGH3nfpKScvdVnDqF9+zZLkYKv2Ht9wxM74FlbzyC+oO12tCYCgusGdrEkTX1UUfW1MQRuWNpXtCM8P1n+Cn2C/PG2DXHC0TeGKosLZ14nIEULzNql1rbd+8BPIsKwoN9sCsbpPsfkJJSjCYDE//e0c2wKLwdtUsb0+hkWI59cULKq1uQA7IrmarVICVvoxaP0UJU63FcuRM2SiXv4S+V2OaAzXUxNtfC7KQPorOT5tHXmjWblZcJSsMFsDnem/jIRfkjk4AbvcKbfdaa06Prz9ZDwxYlRsbkmp7vEJXlZwBfLUSlmX0oVJG+jrV6gv6bYNJ8ENLvtuQ/5hoyrpccD30DsKjMkX77hr1hL799zBeTZz5/TE+I/fqVjlZ/aWNQhw0VV3RfxpZDfTrmF8eGHOvfxL+ymAohHEYHc58YPdqzQMpubYAP4Qc5ZEgRNpcNm+uJxmtyw4Hw8hjzXyhLulaoSPPjc1rUywCb3+n4tfiq8/xlveM/x1+7GDLkD4eu77Gmpq63Nm+OiI7eh1FPqaVm4U9r1VvX/KfG5wBhzZq9DpA4cWIGStfm1+59ZxhV+7u3zCbwBvXK5QCtFpxeic2VhdqFv4lKffkN86dRZZg/Do/zBzxO+XXa15GRvkgGewZvCBKkB8sxjhqfF9wdYw+qYUCscXz9UBKX8zQs9faN8XdIbS8QiJaoiNd7vGNZnwn67rZU2TgO9eXmHi0/c6ZU+nxtAOW8ZHN9hM11BBUFf4kKHmJQdd6ngabCc9frN727IO733kf0opiyu6GyL2VDrAMrYVgU3odaVOeXlOdHVZw6xbh1A1ioddr1T8YKAb+5RluBuAylb86jAfVPh64XObKm/ueqS4Wv95k4Hz5Jm6zmY4CHffg01KT7zepBeyfHHnnAO+ntz7wf3LyhS9Tx+3fWMqQwIYsJWuBrg/G7fYBKmfvr24nWMMmIW468ZE5O3hveti2YTK2A1W5N0xtiUSgQT73VES49xfkGBGtVUJKVsdhc3/HQy5t55EVYOqYbMOBc7HnTnHv/4DXXyXwTlvvLTKX5hyP3Nl9mc3/pbvTOO4b9XjBCaR79xxiOyk4JYKykukMSVSzXrKDHnah54wEhEA5d/wBIWjMmd8np9DJx+xNNaf5gG7Hrt5TkOoxOZhnH9kHAY3EAxSal/07KiTJ/57h9tbTNWY66R1YDjmRTacL68tSKCfnDkc/OgFlPrsfj7IvH+SIe51mHri906LrtS2fmLyfalnLr001476KOD+/dkhjbOPZMEaF3xYGwAOcFYhbQh9OpR1l0A6gyGgSlvwNhi8uJksDv0z+OAGH5a0jhf8xeEd2xb7Y/oHkAyN+RkRL/6FVPny8pj2TOyrsY9wbvGuvIf9XL9H8aDVpMjQPeKYT4Swjxh/HYy0KIPUKIHUKIJUKIhPrGMd5X1Ry8Z0/BvfemSK+X2T64YE/xVahGyFnAU6m/nI0DOHlp0n4UG9aKx9kSj/OWsz3ingPIk/IyjCbHwDQ5ZMiygI9bLoSg6csvz6PKh9Zfs1hpUOuhin1apydtABpsfG7gF8AX1qJFC4euN0PVInMwjKoXdL1goblU0eFv/3jAI9I251lsrkMDJu5+Hq/EG2nqhPKc3YnS3gYa5r8T7CgjEJMXN13cEuDJPU8GNgWuBoeu/+zQ9XQUc7NadwxfcbE/wLje6J+6EjWBjG5IatPYfWWjmJY1ECBRsABTJarvpF/fCEyyesPOxX69M7zd/DNhxU1f9lLlvNQcFQTUcJQRnrvSUCmxEoygJGAnGPJY6oND10sn6Lvn3r5xL3uj9xDbqBUI4dc31puhqAXLAPIseVNQgYcEhklkaH2kWjBGY3Mt8QdWlvedphZ7upoizpRxumeYXBX/LV+mfIC70Tt5H6e9/erwJa5npAkLMMV/fmvALfzdlQpR91FYRkZGraUI43fbADXGrUw3miIifhJWK0l33DEDlV3pRDDZpea4fZDM7J4LX/xG3UYa6nxciM31ITbXYdQi9TUwCp85mv4b4KK1m5586IfeiYemW596eLn3+5G7elyvb3/dOM7HUSn8KagU/uwgTbZAZWZCYRXqXnxfIn8I8Xylg1Pgg1JyHpXVikIFpUzQd7f56Jkzo5/4/HB5bmrpXLNZsiOjUSOUt+2sYJ24lLyFCriuqdwlFkUmsa89G765I2PL8IdSszvOZtSqLiNQRLlsVMA5ArCOKhh13WKZjogthBBMWIEYunRqztCnFxwpLIn0Pg2U/7myifV3d1z0RfFLSsE3po7dqWlnHBL/vdfkTDeU61MfIehonDMI7daV6GoPZ0dkwAuPVEjkPIeuy57DsyrGPbgnB6O0seu3RlEnlhZE3tzqeV5bfj+ZeSn/183BhRDzhBBZQohdAY91F0L87l/vhBAN2jj9k53pUCll94BGqauAzlLKrih/0RkNHOd5IOqmK27C/PLLCAQrnjtGu20FlMeZo1C5903A9HMdo9MBjjpSc/E4vwi06rPb7XnlUhbMVHXJGGC2HDLk3aDP8ktZLnPo+hrDnH0sSgpSWbM4PWOGjoqyQ9b3QsBvfD60vhcaxypRDMLmAA5d/9Sh6zbgHiFFscVrcswf1C1xe4fJ8p2HrnsdlQJKt5b4jlsLKipOjLYV4HGG43F2xeN8rC7DfD9r80zEmQofPp8JU//6js+h618FpJ7ygXGZTz11D4D0eseggoFY4C2J/Ln2kWrAzwpOD/HcIhSz9weJVJG2zRWJzXUHNtdaR9bUOeNzJif2XZtK6ppc8uPOm7ZGb5Dr4n5asTr+uwg8ztZ4nLfjcVZOvEHsyquCFv06bRbrgn/cinApTM2bfGeKiCCiW7ftqJrbYremHf6n6UyMAO7PxD/vRDEhZ0pk9UUkRHkDlT1JAHZx6wfw5MxtJU3D9bL2yeJsC183n8n3J9DO4hXrb36+cdMWf4dlSGQoFmjlpxh/C6mq5dYltfkSRdpZFjRu4M7jU4DIzp17OXS9G4qAcgBVItjr1rS1gWUOI1j7GRBfrofEihDEEtVY4ukAS8s/UAznFiizi3lAX169fwpjF1M+bvEPT09fsQS16E8LCNakQ9efQ13Pr6KulYdRC9jD+XPCAoOLajDKMBehyjBTajk/dXWsmYaaZ6aLn0aY8etdTUxyTj4467L/HKJj3+xjxjE/ierRe3fgAOFUPNvN7DEtil2+G5srm8dfGMHbd2H/tWNiWJlZGqWH26lqLHEdHudKPE4pJd/YYrIyAbLyUqppXo3+ot8DEhMjbv1jz5NAbL9RJ3zSK7gj7fHwp1vdYLoy+YO1IQzsKReIMYPx6+L9956/ljyfquYBNXam77emx4M9IGpv6zIef84iBP7vbLVYKPWXNlpckOerKDcxInIhrzUbxdjISnVXFGpd+W/wMYZtawBeAp6SUnZHBQcvBb8pFP7rNK+UcqWU0i/8/Z0QzM1a0AJgzTQHXiF4cMH3NNq9hZN5WfJ8WgQZX3fpicfZD4/z5fT3rzuKcvboFDyIWLtWPAjWHarW+pUcMqTGYm6320+jGIFd/Y85dP0bh643Qd2IZ4Exvry8nPJTp0qklA1trO2nef+TaGgLYNm4eNUAbK7J2Fw/O7KmPn1t9u0x9nOXk5Qfyy7LRrEkeYFvbdwP3x4M32PF40wvT7Du8oWbYjMyMiLr+4BqgnQTt5kwnSTYZ7cO+FNPwHRfQUFJeWYm5/fvGdnnp9i+wsvfEtmgzkAB8Efuk4KO0wGMFz48hc1feQeb6yu/owxKumRHXZvrSxMsM36bfwE7H00/uSd6e+mJiEMjM8NPFrg17bkQN3UguzLY5MKfsZjIP8cvxriuTgWdXgBIvv32faiywwYMfaNb03a7Na1XraMEwG63n8215pbbSm2RwEaJfM5f3sDm2mp0IqpR3gAG4nGG8eZdfei2AxLzc4zjo/GTT3Zy6Hqv9545+cTaa85xyedJPD+ujd2taesDa+JBaGT8zaPKnjNkD1iBmIDK3mRSs01fZa3QKIVUaoQduv6bQ9fbEUAIQpU5lhlljjVAbPsCFrZTdKMCbK5wbK7bsbnWYHPloVL/M1F1/nwM5yWUO1krPM7JeJybMYgulwzjatSc9INEvh/8XYwU/oPGcX+EIn7N/uH9Nqc8JyIhaDEViG4El2FCI7DJdTUYu9PPgWjCS3Sq+wLbTCboOTxrMK7z4wAAIABJREFUI1Vyv2jgzUUXdDu3v/nUDGyuI+eT333pr8RFXBt+sKlPEluu7T5fMuVdUvY87O22bnZbk+fuYXicH9TWiWhs38UugE9+nRicdv+Vqt6+G/znqHXXfDF62n7dJ8W8ZMsZbmj8RnefFLluTftP5TvdIvzJrnAgDjPg8t97fuIT0C+7IMl/nVVLfwtE84d7MrhxCdy4M3I8CB8qnQ0B/ruOrKmtB5UP4qrSq+la2JtoSmhRspmw6P+75uBSynXUrL1Kqq7neNS1Vy8auphKYKUQ4k8hxO0hnr+VKqeS+nAMYOKK9TwoBL2z9/J3yjo8u5f7o7ngyW43EJuRkZEY9Pi67RAxEVguRF2G5fuAxODFyKHr8xy6ngw8BJwvWrcuWghhyn777UUNMGf3G5/XXzs0DPPbu46nArT+7Mx6VO1hWJm1Ivyt29cyZd5y7wpnRUfgjVLzee+piGNXb4r/Jc+taQ+idlpQ0z80FL6hSpD+CfUwakPBiNxfBmJLxfn8sJYtueeBFizodkG6W9NmhopK64BfFH+p/4HP7pg49NbP+n26cMpEypu8mRxdEv49aoJOQv3WrwBt8Dhj8DgHhe+/YzZh5vywli3jCNI3onSX9wMIxGOEZlf64U/lXxriuVphjNsf2CORd9nt9t8xFgqHrh9x6PpAVLC2HeVVuyVY31jLuJf+bFtl7ZTfieI2c8oDyxsoZnkRyke5WnkDj9MvZ/JPToVUneexAtF83Zi8Jz56+rR3q73gZoE4YpyXw25N+ymgtOFHpYOO3W7PQy1UNXrACkRz1GLuBQaFsODz7zz8jROOEVQKcej6Dw5db47RlxW4sizMlzNsUWK/8EKxZ+8tY3aybjA888RVqDT9e6jsjwUVtDyAaixhq6WxBEDi1kRY14ieqJRiyN68AcdU6tD121AEma+kFLGrPmnFd3PbjDTcqBAIKypgMQHXSmRdjQXqtOoD7mBwhpdB6zsgOUXVfV35OziypiY4sqYeHpd1y+4uhb18ZszxW+LWDc6I/7Glx3oq69vSVpvScidhzr1j8fez3ree66mTH186tdZUfgDeuOn+XQBbD1+Y6m8CLhAvo4KUrSF6+wqzlaIbd++aPOPQ17M+Of0o5TI8AXjfrWln3Jo2tvVonnlBg/4eCiXyrqD33wWwfu9ARWZ0VJUx/CWDPCvii/XwXpmegQp6E7uasx9mxUgzL8xoaphn7GDDIFPUuSYkxLemaEB7fmgpKCv6/6Q5+L3Ay0KI46j5qEFZ14YupgOllD1R0pU7hRCVjD8hxGOoFNTC2t4chEeB4kU/fs6VQnCkf3/2FBX5TPv3m2R5OcV//HGfW9MCFyn/DqNyFyjWrl0EDIqAg5PUQ6FstvzwMy6vDfWkQ9dfAeKkEIsBTNHR46mlZuGH0RYtC7VjqAmbqyM21xvYXHswHGVS153rZyrx4RkQXwq8kZVUcEH4qfuK7n92CT+M0K+dc9fGvYFkF1SE+/LpmTP9EeA1IT/LQAC7skqQXsWorV9aEoQJ+u6wj/t9H2GJjCH3inabTVLUcJqqD3a7PcdU4i1K+iO/JzbXFmmbc/7Gxb3XfHTfBNP4pT0w+0ynqO4oo+FxPhTCeWk3EJs2d26cQ9fvRZ2jT1AT16vze16Q125r5DOoCThkWttut5+llixHbRCIC1Ga0xKqN6M/AVRmMRy6vtOh690xUoAoofrfRjqzKjOgAquLC1u8+tWK8dN+mv5wD8yYKU2LGoyq+W9CsbOT8DiT8TivCC5vBCBwEdwMeCWyL1X1zGmvuY5/6tD1Vqjr4QwqkDjl1rSv3ZrmX/z8Djr+1GqN4DWoTjpNIg+EOB5/etTvxLMRNb/UYAf7yS5n20Z+WNTIIm59uglf9Ord8fCmtNm+xWMhPy4C5ZP9GtAOjzMaj3MgHudreJx11usPRJN27SAwS3yoRb8hBvM4dL3AoevXXnLz4QndhmZSnGeNAL50a9rRThujtqAW23kS+V09QwU6ONWEFI1ZNsrEsRZw4ZYFRtP0SBY6HCy/DB57bhLq+nosjIjOXYp7547MGb8ytiJePxl2lJ+TljYuajY9RVoyi7n/jeuLLFjCfMjKUkn9SAY4dz4BVEcZO6rHbBHBv5Vb+MlZhQD5XtvTK89OKJy6d6233Gf5GWgkkV+Pmpn20OAdYSzJoIbBjJR8B5w4k5ca4/OJ4ADsc6DZzYc4O+CMCe5585qS5LnxZ5PeZ3viF7NZfoXgTJNIVMbqR276mBt+uTe/+Y4n+fD5Rcxb6Sf7/483B58K3CelbI7qGVtXmaQSDTJtkFKeMv5mCSGWoJis64QQE1EL2TDZwMaoUkq3EIKDBw8+X1FR0bJtp07eMUeP3rywU6etFbm5uyxVUpYdwI1pc+cuQKV3RgFvi7VrX0YtjGdKQBNC5FG3RvQzlIfvGKpqqNXg0HWZkZFxg5SyLObii3PPb94ci6pZ3O/WtMcN7WEw/gQuz8jI6GgftzMTuA1Vj+2KmuRB7V5PAxnCx4e+cPFVTp/4SDzO+xojVqIu7E8k0s98xaHrpcCthin8R76cnDEVWVl48/KudE+bNsah698QhCB25YCAXcMS4++QOs5PbVi9MXljmPOQky6X37vv5PfTLkY5FF0PuNyaNgtlZlA9iLK5rMZrJgB9BpqJNnlBQq+jzXLL3pu4nqPNcne4p07qVYdtYzBWourZEwCXcY4muTXtngqLb0FFmBw966ZWFMZ5i2PyzUPRqXGODPwN9MnIyIg3dmG1Iqj+OiaoycDvKOLDQJTTDKDSmUB7t6ZdhjpX9jBv+NGt6ROOdC3qVWHB2gqwxJwPp+OBxhTYTp+F9on6gy1/HTh6WIMkKQEI9mQ9XmIqaYlEIFgemNp06PpiVG13Mqoh9VjgaremLRh3v9gdFimhajGtdq6Nxz5HpUyXh0qZGgjutPIVKgB24GfL21yJqLT1GInsfCeTIiWS4+FH+Ct6g9wYv1rsTvyJpGYFGYd3Jg5zNLDLkB8CITrbGX8kGgZ6mJ3RWDaoF2sgbM1KLLZmJTRpXfjWio/a9PSZ5KBHprRssWNgYbm2Mfo9/qp3iFo71lSWYWIKhHbxN74xe3wPyBTXLULQmM39VYYz4jyoUs3XwEd4nAUxwChmYJC3FgpBr5fajmZ1zDlSDseQKArrbC4fhCSAcHNJPmGlF1Nh7o/FCwHexwEIzH4gJVIIXiqVsU9P2rP99AtXtem4r0fx7ou+SzD3/TmOP20ll5x7Uuvj0PXNQePcExlWsvhccUKl2FQgrm99KOU6xze9Sp96+6IYCmMBMT9c+IAK7+aKRua+13wAfX9fxx0FdtzC+n1TyhZpxMWWIVeuRkSp+fUY8Oh/2xy8FkwE/CWtr6hfYws0YGcqhIgWQsT6/0dFt7uEECNRhfvRUsp/1ApHSumWUqZbLJaDSUlJprVr137u0PU91saNN1vT0xEREZVSlpPTpi2QXm8Z0FOsXetERVEFQGc5ZEgpqvdirRpRu92+DbVzrrOWZbfby4UQ2WEtWkSj8uR+5t2bbk3LdmtaVc9Vm8ucujLnNED7t49vQ+XcX0LViMpQZIrJQCQeZxoepwOPcw1CbAciO+R3mImqSx1BtSGqAcN+bxzQxFtYeN6SmmoiBNklaNdwe4B7EIZDUw7Kf7fBMATpA09GnNyLkuAMcOh6kUPXJ6BusO8x/EPdmnb8z/QbpmNzfYrNdRxVU1qAYhBG5nWKPrPj8XSeXXry01bbZoXNvndV9ufj/uz5DxZSqAqCRgU+6ND1vInb9yTevXo/2wcUnojJNycZ56g2feMq/1sb8Jl+1uZ7Ehlcwviq1nFsrnhH1lTNkTX1xFjPLWVjc24RPYv6t/IJX7tsS2b54pFb97X7/Wla/fHk5s4rn0gCSiviLf+Nl61/R5kHsDt296lIX6RIL0o/R9B58sOh6x85dD0JVdooAW751tV+9tHdcVSUVQrgq51rgbgelYr01DaugUiqd1pZhpQy3FN2JTbXcmyuHNR98gLQe1+bLOujjy7jnue+Xt2itFVYoSXf2lI795s0eTm8M3EoimX70D8tK+xKIOqZHZCxmrn/4H2BSAZISi09MkHffYdz9T7fuqvPye7rYqxh5aZNbk3b6ta0urIboU32bS7tlZlXH5x314TUvDYvy11H95iejt5sLcZiA3bTa/M6npsBsx+5B49zEB7nG3ic1QwrHLq+z6HrvTcPy7/yt9Hn5NBv4jn7Ygs2/9DEajiKNQQJAAM6rP+U2Y8ILF5/b99QDmP+xTTQ9/dZ1C72hhlfHps3/8kz5mVzDv3evmcu5zIjEoFNbk37M7DMISXfpNuO+LIPdRBnkj764Hzz1/Yf7f7U5wf7PskzL14RbiqKsWLLAlXCuSAiZ1qTS8sulVzyM8QVngN4rQPtx12kItuVv3AqEsqllCYpZfr/8EIKqkbql9FdjMo21YuG7EwbA0uUTS4WwC2lXCGEOIDRkcV47ncp5R21DxMSv6HkCiNQ9m4rhBD9m7722jsnp03bgdpe9y/+/XdO9+ljw2yegxBlQHc5ZIhf35WBSt1dTdUkF4yjQOuMjAxhMGtrwzbgkrS5c5vY7fabDCbdx6hJZMGyDgPf7Zs/pKgRTVLazTstMockUtA2KrzJL+e2obSM7+FxZtYx/o/A0OSy5FkYjXpD1J6qwaHrmRkZGV8CE8Patt1dduBAJxTZ5W/gZnQeRrErv5PIeSGG+AsYlpGR0dJut9cqk/GjmiDdxECUtKGyuO/Q9RxsrnsKTfknzlqyb06oSG4W64t/EcCL12fGfBBllP4OHqe+QzVe//tQkzMTUJPtRQ1Nvflht9sPZWRk1HCpEoiHgYtKon37X/zgaPtAG0fjHO0GbnZU9SxdADyGMtN/p45z8DBVrM1Q17Q/1Wc3OhGNQ9nn9aPKN5RwGZEH/Lo9avOZ3VFbR0mTjPOcKWvfemNFedpf8cMNg7VDwAUZGRlmo3zQUFR6sgpEWrt27fp8sPUDXtj1wk/X97u+znEcuv6KW9NeBZ4VJh5ev6QZZovvPe/LWgvgmbS5c0uBHgKRhjpn/jppXeOqWqHNNQi43Q5DdzyWLkpTrE1R12cJKpuztO3vs6wH2+TMRNW3h3M7OHCCW/zu8zFo1YL01Tkno4agAtQZbk172CDH1QqBGA9M6JhH+cO7sVJT59lQJALkmTkHrMtr5DV9+PTpsUMXJ55BlV96ALpb035F2QEG31MWoASbKxm1C78GZX4S8cC7wyiILiGmKPxkoc+yvvu568cf9CUUSImGW7yISrMG61aDv6fgLd4FxG/5V2x4/vCmAQf/SjAD+92atto4plAOSn4kAPz13KuJtALm3gF3vvNmLfxj/zVWuZgau9NXGL7qSawVA4F93xwpW8iIzH4pacWuDUubj0B5Kv/9xQVd1484O2ZNojdl+EXWq02UWxHm87cVC9ja9TiHW+T8ad/Y7lFeu+dDTDTGIe8Ftd3s2erAemDQ2t2DbUOAx7rxfakZ7tjHtn45NKHuunSDIYT4HJW5SxFCnEBlJP8DvCmEUL+lYkfXi3oXUynlIWr2G0VK+Y92O7VgEWpLfR1qMV2AImBc4dD1N4BWbk0be6yg4LOZFktEQmEhd77//vpOBw96jJZsoFhvU1ETWm2L6QbUon0JVTXYUPjeeM1EbK55DqbeAbQuE6UVeyN3Wv+O+ivq58SlUallaRUdirv+AJ2GnR6RTPvnx/RsyJc9GX5yYWpp6sud8juZNqZsvL4W27BQWARMtN1//6aT06Zdj9o1d/UJuWXC7MYsn5idndvEW5vhhN9ndyL1NCgPJUjPIGOzKPddnTts/itJO4r6oaRI0TG+OGLK4iinLHtn1B/mo+H7E/PN50yYKAbec+jqBxpiH7L3q41f0b6wvQm4SyJrWPg1EAeBThkZGVa73V5usCtfIIBd6dD1Q0B/t6Z1Q5FyuqD0jX8AExy6vi8jI6MMdbPXdg4Cxw1dfx23s8cmV/sSaRYXoIIi/+6pFBW8LEUFE5mgbp7hx62xrXZH5lzzrs068YUmVsDjfkJ7o6nLtU6YTBeggsFQzdprQyJAmdrtbTgQfcBSQQVNSpt0red9QGXbvscqPhHNj++Nu+n3ZWlm1L33QHlW1llLI1uqyWfa4DP5rIBTUkvK1OZqCUyj261NOdbSQpXXsC8is6z4bI/YqKNXp4xu+cH1y6AyWPuT0KzYeJMJRkw68oz7uU7XoOQuY1Bkl2eAO42UdTUIRBNUEOVbupa/TdA1WOf5D5AA0Osy7kalRFUZRk03HdyaNhKVwr8IRepaAdzkyJqaD1zPyJFm/urRkgAJSJm1In/23avCV1y825eTWNxxb7vMAzHAQYEZGCcE98qFlTrMkA5IAViISrmv0Oe+f/kFr7bz7d6bTsGvp8+YhBwGnHRr2nfARIdqVReMeICMRtxAQUwZ970RhjrPwc3noWY9XaEocgklkU+yrz3o2sWwZDJAevvz29Ozpq7LtJ58YG/Ujt4nwo8MXJ343cALirvT3tuO882z5S3tE8TSz2bgtfh+kkglSXHfFYHKHlbinVumzQEGLdkypvtQhAsL6f098M4fbECR8ups/t5QSClr6+ZVr8lIMP5tO8EVBLBiDZ/cEtSEDcCEt9/edteIEebzwMytWys6HTw4FNWSap5btaRaT/0a0UXG3+trfYXNFd3buSccr6TJTzmPoVKwjwCdw2T42S7Fvb7tlz/0DpCbz4SfsGQk/nhV0fY/TVLKmIyMjORaxw3AhH4T5u2P3c8lWZeUSWRtC38oVJ4ng+zSbduggjG/j8xn5MIk3hrePmWh1umXamSXKtTlsxuMlUC8qOB9aZsTjs21tO/tfw8bOGk3STuKHkBNfn7npalAlNVzv63L0Y+T8q3nemNiNzWdpj7ZnLSZC89dyNqMtbXuBhsAv4nE6AB2pQDGB7Mr/TaOqEj/IAH6Rl9JyTHAlpGRUYOxHWJctUuwudKwuZ7D5tphaBw3pa45G1FqCxPnky0nUJNrzwDziFnBGYrs5hW/bRlRYJ35xaHnCNA3Zj7zzM0A0ucb/w/PRzxAvxHcDLSQJrnSguUfG1NYrMS26pzPsAmHO6Mm6piCH39MFQgG7uzQAlgpkW9XvqG6pWUB6j6Zzm7NQlKORDHKRwOW0yOTHwQ4cmOTvlB5ftdQu3tQpbDfIASNR+1qf0KlHL92a9oRt6ZVukQFlDmswD3tizBTu86zIYjPaAQHYulOiDKMQ9dXOHS9BXCDxWfNAy6z+sKz90RuL/PiXcCKKwTnIwVKB/tYZnJBSvip+4qefORHsbHPkdv3tssMJG/djrqfniSEDWEwBOI61EKSDVwpJbJpwinfOdGUm/7e9SNVcr+rgBy3pi1wa1o1FUOJSQVhBVYEsYWXUhbuAWprPh6qI42VqJJfiMuHa5ZwxfWvuHA5xzNrFjz02vvAl43L0/oOzrus/OLcUUfCfRHF22M28V3qx6wavMC79IMn8O5vXw5cEfA5YQSRtvq23WIB2NT2bCSSOy0+zq9RuoY86qhL/5v4VxdTI+WaiSJz+FFZAxVr1yYCf1WAdRb4LlQt0CrrPUDByWnTXpNSnqTuVl0/EixlqXKUWYzNlQkURp0pfyn24HkK2kWZqd6vrzEe5zUtTr7+nmO33he1s9GLN2+OEkKQ++mnf9ZXsxCIqcDIUxGnyhqXNg7LyMiIruv1tZyndGMs8cp7x996+5WTuO/PnCMQfu3eUbemfe/WtOSA9/p9dkMZ2ldi9I9d3rj58z6DV1/jLPc1mXMbapc0Ojy3IvzM0ET2TEvLpLrz0ruBzksOXf/DoesaAU5TPpM8ePU7KTedMh0rDfeFQ/Ub6J/CXxcZj6pnJgIfSeSy2t7g0PVfHbreFjW5nwTs5xYtaguI8tOnQ0Wkq4DE6IKw+dI2pxk211psrnwUu/JR1E43D1ha1Dz8A4DN713wMR7nFDzObbUdh0C8ggoytlaEy8cD9Y3ezMww77lzlO7ePb6adq9+xG9PgG1JXIzR7xJlYF+ng1EIxAA0alFy3KHrNwIpJ8KP/Q3wwLt2PtMu0LalT3gam+vbEJaWEhXkOHlhejF3v5WNxzkWj9PfoSlYt7oKtfP7oE73oCp5jb9n6UiUzeEG1Fyxyq1pf7s1rQ8q9ZoO/CyRLuqXptSJHfE0vWEAmGWIMozN1Rqb62VsLt2RNfXTa7NvSxh+9mriKhLYGruBxSnz5SHHs1Q88cQ6PM7eeJzPp+559D1Uu8FlwWUYowvLd0DCxn39/BmFkDtTY/f9KUGlkqjwYmEyeX3ATRN26wsD5X6o0kOeW9Pe9Mv9vm6uuhyVm3jd6ME7g9rbu9Uwp299ODnjmeevSDzS64nckqy1fB//49Xs79CZc4lgqThNgCtZ6unZrUbt3RANOCOSyihdFW959ep0Bo+Ybm0evifQl8BKzcUxMTcMtrz6AkjBu5uZE6Eq8meprS79L+Pf3pmCiuCsGRkZfhP6tQDnpLwWg6YPvNpbiJNAM0PKEotyvPAB9+YvXZoGmGV5eW2yCLUYeWWrwH59qHTcGNTErAMvFjUP317YOpKMr7uMCurXVwmHrm9z6HpnERFxvZQSS3x8S1TN4me3pjUJfr3RqHcOUN71XNePhMoKNkQ3Guo8aVSxK3/88Zacuw3t3gTUjXgFkOXWNLdb0/wLdjWfXcDvKPMUNte28iZvln03cco9n9x9E0N+a29B2SXOA/oKjzP8wG1puZkXJ8XV5bwUcG7WOHS99dH252/Z1a+I8a5GXDklMwzAV1LyjyU6AVgPeM+En7kUFTgclMjbGvJGh64v89s4lh0+nAdQtHbtAremLXRrWjQ2l7jrA/uHd71vt28c8YC3sPWrtwBzqTKP+A3F7lONkD3Oqz0XJfp7mNapWzWkBw8QJD0I1Df6ioqKrWlpJgK0e/V9p+ORNLp2EAh1Dww2Jld/YNGgZuEG1DXiUEzOCfruiFce29a2uCKPxI69pdUXlrYnavvMjbFrrso3nU1AWVrOpnpg9TZWr4WgCS5Qt2q4B/l/t9pqUP7FtIaBeQhNb0cp5KabXmg8MfG0+RwqmIA6TBPqg0CYrx3EkNxwSCnlFmmbU4jNdS82129GY4mDKAJkJ1QA83Wj8iaXx3njTcBjXnNZye8/J7P0rfYXuTXtZXOZuAnFnA5lcuHHbYBv65Ge/u5QNRZTY/e9EWP3HVgqEQLRocm+M8Zzbxnn6hVUsPYc6vq4Gyi85ekma09FEltmgvMWeT9APc3HE/CaYMHNvbC51pY2faPkQJ8n+z/++khankxKKpem4qWl6WwaoGfy2j3w6v32YFcygAn67rkL3j/CS+8eJSw/3Dsl9hVmpN92yK1pLxoEM39tMhBJgy4BX0QZPDmLWPc4v3NZLvU0Ivi38L9hMfWbkPsngM+klDyqJrNUlLvRgwQYEBjGAo+hFtW5pXvUtZW3ePEvbk2rEuwrR5mZ2Fx/tvgysxFmYSmLt0xFRbknUMzFgYbGsTMe5yO+SLM/Yq6X8TlmwYJFQoiSmOHD81EMMH/N4lu3psWDukHxuxLBzSnlKf5UZ5260drO0++Jvz9PFbtytP9Jh667HbreCGXhVYhKB51za9q7srz8F7ySlp+feRuba3WAo8wTEtn9j27HLNNnfstbt619yYSw4nGmBzjKgJpAq7rX1AOBEI8uOfzEix8cY+ltnkW+zKxz3rw8SnT9WremzTfS8/8IdrtdnjedzzJLcyIqiq3LhSYkHLr+aeqsWYm+0lIZ2bYj6SXtHP3yhhaWmEq8cx4dP/mtx8bRe1sLHyqwegloZZhHXITH+VZgYGUsFHXqVg2LNn9WZGQI6QEOXS+wpqX9aE5MxJKevpFa0plB44qxF3HxgRiIL2eGRO42nvKn9EM6GNWCaErCJDbXLGmbs+1o96dOHu35tLXlJom1RQtxWc51p1LKU7MPR+zl+5QvrO5G7+Bu9M4XIQKrSreaIOyWyNiwirDZqN+tLnvLYHlNDfg1vbt7F175+4h8eak7iTnD2ycs1Dr9bJQ56tZ51gHh5QfrySbW1Y8N5UyLOW+gAoHXCVHeMBpLjMfjXN7/0BLp0PXnxz/4d99BY4/797IPPndd6wU91sT4wgtFrURDozfpDyUVERavzwSOkCSvBRg7cmP3rWDoQHu1+mMP6tzfIgThxnmSDl1/HDVHvl1hlpZLFiXZ02amk3MgKvhYqpqPq4zdZdhcX/HME1OZMRv+7D1VIu3lVm/4ht6H5OlGeY8DcbG5d8RdXXBlycqwZJuxktRmZjHvy3TomlaUH19cET7v9OPFxd5YE0pTXXhyf4zF56t+7Vw5mKv/joekAsshnn1CZuwZ4q/pZlP7tfav4l9vDg58geEIBGC323+fsHat3K0iq/VyyBC/2cJiFMnoRpTOD4dq2Hznkttue0RWVORbW7QIA+Z832Hga70LBpc3Ji3K/yFxe4uLgOg909KWdX3h6DW1COFBLbCPUg/jMwAHTVFRWtrcuSknp02bgHLM8Ncs3GFbREpZlGwELJLIL7BDRkZGOfVIdULgC4n8MDMicxR1sCsduv62W9Pm4uPRWG/CzNTytClNJ/9MY1pgKfb55T3FqEj368T9D12dl1B6ETBfIh/mhZCf/QNqV3ETaldSHz5CGVqsWXRf1vXcB6uXLDkX3qZNPMpacIJb0+YCDzhUo+l6IRDWic0nJt9y9BbGnBjzxOJmi+tiTdeEYlfeYYdrds5oSVG6JvrlWygVJZwJOyH+TjvM4aZZGfH78of+A33jbqBvRkZGomEKEYx1KHnVbImsy6VrMTCu8fTpW09Om3YDalEchEpn7kGRSQK1e/O2pBDx5A6Y1VVW+oba7fa8jIyMAkI4GFWDzRWOuo9uIPXRzmTZBPCa314RAAAgAElEQVSk1+xjT7tM1g44kKM1brO/LMnab+tXA8ZfYp+xwa26vnyCSnX/5da031GkLr/Bhgl1XVVDmShbFSbD+nUq6GT6K/GvGvXtIERRXV4TEgIh+Ji3ALFnYdH7tzzf9HLUrv/oX2ts3k4DsvPD6huk6lxcCEw51jR3zKny55JTPf7SJXEoJvsyFJnsZH1DWcJIadGxgMZtCj4cV548YfiixOgH72phAra60R5x6Hqwd7gfkxOizmblFcdX5lUDvutYqhyjgklCjQBMJlmI2pU+jFr8p/lf4ND1coF4yFzKzUO+SYid8mojfvk8XfC5lo26/z6RKa7f3juvlVxsPTFKSsqFIkZBUbSk1x+U728/v+P371xzqFVOAkoj/C2oCFEIXCYhH/RJgUnIfIIgEGOQTBp+Bj7cxF9huu6dIJj2y9nxHzsavXzispTPmmR82cIUl1zaJv8F7XaHrr8vEBeTRs/Ycli/tmLyBTCzuDTKL3XLpu5GBP8a/vWdqd1uL0LVoToAiLVrP3WDGAaMUIw5P/wsviGVjxiOMtcs7f5u3OEyX0rzHvQo6E+pqcS6OvG7qBWJX5fvjdjxMZC0a2arJgBnL4xLq2MhxW6370NF0A1i6GKkpYExDl3/2KHrKSiTiPPATc+Pa33ZyE+SCh/+T4vAFOdRoPE/6DrDEPuQ4kPRh2SHgg4CxYqtya5UzktvOrKm7nFkT31q1NkbwnsXDia+JI4zPcLYfr2F5YlfveRu9E4MHucA4blLGgvpIRR5oTb4dzyhGH/VIBCjUfXsswQYSFuSklabExII79RpPmrCvId6nKaCsHx9yvowgLsP3l2/37DNZcXmmojN9RM2Vy7qJnwWuDDm4PnyUlsYJ4clzoo9On3NdR/O57jY64vfl2/nn+kba7hz+SEQL6CIdH9JZH12ZJXmGg5dP+rQ9YtQcoq/UN0/KrV7AnE1MEk7h/dxPSTRpqb9prpPhmNzfYHNdRKVIlMBbIVZMHC9/OrKbZ/GHnqIEV/NzZ0499MmhW2j3jDePQHAoet/OnS9M0p3dxhF+Dvo1rRVhkVhyAnupt43DQe47sR1JxvgHtTQeueHqOzSL6smnJ0SWObYvdFm+e7t9kluTfsioMxRhSrD/G0Bhvn/iSoJS97Y67AsHLWsgJlPeI3GEt3wOB9vyEJqIAVg/DAGf39bTvSMbw7+hPLxjgXecWtallvTapAgpcTTtcWO4tzCJISoug8FojGq7uwD7CGC50Ad6GOo33WyEARr7n/xhhO7+oZzb1515/7TXQbk+MzSnAx8nNH2CnnOnKtPidQj2pjzyJYRZfhdyWY//BPXfknStmfbGAvpx/6FNACPpMafkYUlMYgJstrmzDj+zwX4PtsIYZIC4/t+4sPi+SxrRtqn2Y90uPCS0xQXWMzAewu6dspK1yN+BPhpDXQs4ARwa0JUJaHY/0+NRgT/Nv71xdTADiAqae3a14Eb06B0BjBDiErCUGVLL69si831KjbX3wT060vcXiDON4+kma3vx50Le9uBX3KtHuufcesnuRu9s+XktGndCVi068EhamF8hoB/oamsczl0/fVbN/3d7fXXj/t8ZrjppdSYrhtiCt2a9pQxSf+GmnyCuxXUhQUbkjeI9oXtWZuxVjn82FyJ2FwPY3NtwuYqRjn83A20Q9Vp3MDFv8WtjPh7XERe7uUtORuWMx3IfeKm9CdQu+gy6tG7BjQMqK25OgACYUPJk/w3f2C67RuAFKczHyM9Tx3dMYLGvRsYdijq0BGp1o8hIV9oc9mxuT4LMI/4GFXTjEQ1GpgBpBy7tvEtAPMePzSsPFJevGlk/uGc1PIoqmwcX0JlFuojBC0w/lYzMxCIQahdQjENaLYdYK5RycR16Lru0PUeqBTjPqCnRP7teKnRN5F5Jt+SDE5YZMhd3EqAmIPn7wuytFyFKg80BvaiSEQdmPlMzrnrvz5/7fx515VElfvrr+VU9aOt1gPWoeu/OFT3pWtQ7l7DQZ7eszmJ0vOiWs1UIO7LjMzsfyb8jOyX268hqf1wgiQSwTCCtVtRwVolQ91f5rj4hiPeiJhyaXzXc5936vJhme21qUHljZmoQKfAK3w/DF76Rl6j3Y8yZsGHjpjhK/NIOfvfEpiStybC92l0BDznY+UVDl2/DlWuWo5abD93a9oxQ2JTiW4tdhScL48EI/MTUCcNAx6UyMDm5X5UumBJiRd423j9awHn6wlLmanvlPkDT0rbnI5hcx5I7bLsEdOY7El0KexFpvUkPyYt4rskd1abgmEFjXJvCxfZzrvxOH8FYnxAoYXBqADq1uADkBJvnzabz+WfjwM1nwRiPRDWK4fXGqsKZ+DOdQYg1heMertDn7OMmnbgF2BFWYTP9ty1rcNfv6lFhbYvDMAjJUd7tvozF+C6t9x+jsL/W0xrwYqdUnJOGQwXzYRpFmUEMQGbKx6b635srg3NvvUkIggvjzbdj4rYPRj9+o5d0+hegK2vtT/W4fi76xy6fjFq4dyCmqTWFW/ZYpVSRmdkZAQX2oOxDrXY1eX4Aqi0NAEdMkDdCKUxcv0flxaYHvvy4CSULZsZ1c4n7+wXX/iL5w0iIRmC9BuPRBwujjtUSufnDq8NcJSZjbJ3LENNmLcA4Ybz0gQ8zl9G7l9bGta8+demqCgiunb9TSLjOm6NfurBqc1NE2Y3ekMiG5IyDdkwIAgbUDfzwxIZ3Ij6a+PvUIeulzt0/U5UKm0hRneMGk5T6rt3QqWuyn0m3wCByMbv6KTYla9gc+nYXOWoLMEEFHvyAOq8a3ickXicffA4Z+Nx5gCLJZJ8a/5FqIVm4CPfHix16PqtKDLaYoyelXURgux2+wHUol2ZxRCIaJSUSQCXS2RBqPeGQMh2dQ5d3+DQ9Q7AZXsuLK644pMU8e7gDqb8JY0bl5eJqklf3ScP9Zm2ZxRAyqa8majdfwdUYLUIVUu14nF2xOO8F49zH2C9eQARqN/tIf+kHdCPNiRL3aHr3zp0vSkw2WSWeVtXpbLU1X6IvyYuEBpGsJZYlrhPIGp1KQtAnfVOI1j7ktDBGgCp6cXi8mHyWNfC3jtjKuIsUvgmr0r6Zu6x8IMX+/BZUAuU3zA/xZJ1j/h1wMF4aZZfSuQXNGBBrw074mh57SCw+pRywL+TdOi6x6Hrl6NKH7+iOjktd2vaXrem9QMIs5RbYyMKvECKEEwioFQika/X8pHVXLBQAVwpcHte8ntDT3Z59sdjXZ9+qrTZG7w7/fo0YAQlEYJeWyqsMuyxLsW9UypM5e0QbC605DV6ts342EmpT5taR+z4EiAznOR8K2BS90htAbfWfFdhWXkYwBR/ilggPkTNuxmbV1Y2QQk0f/gIyAmzlF8KEBntzZ2g79bv+Xk/q8fnFqbuiLL88F4b3M9dsMmtaX1G9Vx2qMJrZuvhnjOCx/rfgn91MRVCOIQQR656/vlnHwXipJTxRRW9br1ZPy/KfKRszLsNta1/Fegf93dROSbBgclNv0P162ta2a/PLGp0BTHst/qg6pN68aZNUUIIzn722RZDA1kb/JT+kOb4IVDN+ByVtksFvi6LlJ84dP0u1OT8KRBVvG7dHb7iYirOnq13Z7pqrPPKu94f/MU3N9/GT92vjrxw+gGStxV2RC1AW1ELdCM8zgQ8zkvxOD+uxarPDZA8ZcqRqev2/frFvZl03hjN5Z+mTK+L7BIAf/eakCJngXgfNfGuk8jgCNW/+8pF7ZoBcOj6eb8cA1WbSgIWuDXtpFvTRhnkrXWo63SCtM0pjNlXnAuEl7Z+pwjFrnwARQLKRu2KL0MtGO3/D3PvHRhF9fX/v+5ueiF1Qyf0NhRBxQK4dgWxg2WRjwqKoouIWFCsiGLBygIq6AcLi9hRUURFVroi0ib03rOEkF42u/f3x51JNpvdJPg839/j+SeQ7NyduTNzz7nnvN/vg9c5Fq8zhxC70H5h1dbkrbJbUTeA4cHiGQa/cSiK37gEtZOrDxAUmsXwoO7NNIN60FgzgW9hkbjD9ZyhUz7aH/XGmwdyoqqEd/ufGXHfvt01Zm27oUeqbG/mod6TV+JzfWfEHa8kd2CqD4UUjTMCq1vwOn8xKCvV9nZnEr9rhQXwSOTrIV9r9oBtG+mkHbr+wS0Ttw26ePg+oqIDfuAOiSy6ZH7qOuHHAjhiZaz57EQSFjGtIf7gSpSzm1grWDPKG9hc23lussUy/aHsHqVn9Rxy8taqPkXnnSy1lPhXpCzh06x3cWfN+tadNesNvM4CgRiNQgEfooaD/o84jAIhbryA+/Ylwk0HmB2uDGOk8C9A0dT+BjoDq92a9ndxgTWuZdrhAkBy/so3CVMqCWNmiTUfm6utzHS9dDjtg5KKjJkxKRbf0pbHUgc1P55CaXzlYdSutQdPTinH4fbidb6I15nn0PVdDl3R/YSQ+sVpX/BU29svndu997olSdbOxSpxe2t9AjMWQWxyfGEV6t5ME4irqeG8XkbNDjq0T+0TibGlAuCTbBKACaVNAsUfPHssa9Bdu7d17JsPiC7A2o3fN9GKC2MRFpEFMOc3rvunDcH/X9n/mTM1JmJ2bJcu2QWPPiosEt49UiHyb9+aE10m3WlbSihpG2dFReyTgRY5j7dtBZB7QVpmaL8+u92eh9r610FXmvUeERV1k5QSq6KymPWeOlQW1AIeoH7kYbCtQc3lAIEYiQIgHSHIGRuO4z8oIvTCit27wedrajiOalQuNlc2NtdL2FxbpG165WW/d/3u7UnDLIN/1aQ1IPZsu79l1ep3uhQYAgFn4nU+j9dZH6jDtN+AwNHYo4OKMvz27+7O2++Llm1RKedQ7l44M9t81VkQjZfnblSEXJ9T3ohCBdeqeTp0Pd+h69egIvbfMOQRn72lbaF9aZuMz0beeUjaps8ECjt8cqwzwKneSVbjs/dQ0wj5JrzOxaEOI4z9sDpjtWhf0p5lnmWhotzmOR136PoV1PQsjTRHvxs/rxWIySjllM0S+QinZ2bKuI64hrk4ddppK1o54vk/Hbljyi4tvYImRS3YnbC1+XcZ7vSNCX+c8FH5PNCsvGnM1tLWcdGeL3p+FKmvpTnuxDOI6p1PgPAI4O+Nn3c0cO62Zm1Lue6BnTOAFwoyqqwjp7SIm2nv7J+nde8pfT4z0B1a3yCEp0iY5/ouKhD7Xdqmz8Hmmli3vCE70WY/DPDkAhdbsMR0OzAnw2epTKSmZ+lUIP/5Ye0moUoNVdQuc8TwzziMn+xqQpPnN8HHq6tLP2HNoes5Dl3vi1pftgNnLHqnU8Jfi21JaVmbVjP77hQqoyURdt8A2FzJLLxmEN8PgUdfmYJKwz7c3FKafjIQyxddi+Qg9yxiD4+bmbR/Qiu8Tidep06EOTbpfu8dfm7m2sIriRZVZ1qf6Gg9sMQm52ndV4V+PsRiM5PzSoBKEovGIOuUesz6fS1nKiXvNW9ytKgwCkaey2UoTNMgiSxLyfSJs6885jfn6PDO5PifZrfhrpRH2V8UzbF8koHZ/yaHelrOVAixTwixWQixQQixzvjdMCGELoQICCFOB6H6YmbLdgm2d94h2mJh2qZ8WmTGckCc8gOzi9vGrilrHovni57D8Dqfwes8GuQwIwkQbAWaeDyelHB/vGH+/M+FEOVJl1xSRHW9h8NuTfvapLJANS/1CI1vrP05gDfGew9KDSf0Ba02Q8D+utgOHZZEZWURlZzawlbRfOG2NneXVWa9VopSXXkM0Ha3PeEfN+ULBrtnboitjLLidXY8flF6TmVmTIrH4zkteondbpfllnKvQGSgUmnn3fXntnrBLiHHbzSOq3WPjfE+R70IF0V8+ZWZLZrC7r4cun7YkTvmkSF5t37er/Lyqkd/G5Ow7OZHGPZd31Z+qlKAjbHHK6chJdsebLMer/NivM736nMYoSYQ9wOXH4o7lG/wfevlZIbjN1J7juYBHIo7dA/wJAp4NjDSeJEs7LNtc7X2dnnpjf86hy/cefbT7Dj/6eQYf9TtQKusdkXykoH+svRK2/Qya0mpnvRX5udZ7z/mzpr1kAwElhkjXFP3m6rnwQZ8nlgFny5nf4T71tgesBkAFgunhus5x5y/7bS4JxwrSs63BoBnjowbt1j6fJL6VcpALfR17mVScczVZ61vM/ql566p8tve7kGNYH7t8saEV1sz6n0Y9sUfeJ2/mUGVI7RnKTK5Q07ClIfvbW29+TXbOxIZTPMJew71maFM5OhQRMVjKg9Sr76uaQ5dX+PQ9a7AFc3bF7NnY1rMtFY3n3/1Ci9xjjnFIbtvgc11AzbXQmwuL1DI0ssG8+ulIEUAFViOEYKE5g/vWj1s+RNicTPLSX+UDG2XaKEeWsmKwuud75zRv+yxr/YQ176Ufb/bBGqNXOhWjdzDWbQQVAJzeOvBWOpmD+qIP5h2fb+vF15wGfisRKEE903UezzgN+fovEsL/M2T42hl3cnatzSI7gdGM/NI11KfCSE+EELkCiG2BP2utxBiteHjvhNCNKlvjFD7J9SYi6SUwcTiLSjhg3dPc5w2pd7DnC0ld/t8ZPz1NYEzRjHxrFXW+T/+OLrS43GiXr7/oFKZpm0DzvJ4PMl2uz20HvUzcDYKXRmJ1rLTkpDQs+XMmTaDyvIqareV59a0T4B7HKrF11rgRo/Hc65RF63PvpFItiVvuxlVG71TIsOLyttcAri6d8/ETBltYeD+W7FUQYBA3MmoXPKickuT/alvnbd2zuYDrfPdqAewX9Bu6zfUwj6UxveQRSCso1qOShtxcASDjwx+alGLRcGpTR3o49a081EgnL6ofpy/A7c5dN1cbA5Qt2GAmXp7XCIjqgAZ9jFqvq9EEcoVulJx965GZRVimvhTqbBE8ctFO8laV1hwxLo3pSyqJBqjYXRLMfNeGlB0ijAHnVHAG5+t0mZHAd+uQPUsrdccur4ZOMOteu1+gDFHh++77/cWrumBAwkHLkPVSYdIZL3t3SKaX+5A0NfXZsaK6DLZC0i2nUxi6Hd9KEwuL0al2ucCC7lrToUFvFd+IB9wa9o4FGjqAeDR45Mnlzd79llTojCS3u9KIPbj1dC1uE76DVAO3uPx1Be8mpYO8HNTooC3pBXfopEnuzhea3YKFVzeWrZhg4jt2rWNu0ePEY4tWz6OME4NvUYJ5t9VGVV16cHEKS3TChJArVcJqPLGN8A7tbIy7rEmQC5sndqh60XATSneqB/t36ReeeNMG32WJzvdH2jXAHc7dH0Jp8lhDFYm+trDGosCbJ0Wbcuh60twC+k5FV/y3ZbMpFveyuLKqjnJs9ou3jSq5My/Yoi1ozIj5uanEtjExT9LrljSm7jyS3HIVcb59EFyLts7w3mrEkQJVgOcZFpYClO1SdGJsti4w4da08te4Us6Y59vqbttGSow87o1bT4w2qHrwXOkdrsV0VHEVMGb4wKMf/P1IKy56YTrBBm/vfZKi41pkJTTgWJt1yvVxxQmJrBVE4xzbQE6t+Nxaztgp20f6zLWcGp3NeuxTeiYjbS5KEzFR0G/mwM8LKX0CCFGopSknmrsgP/jNK+UcquUcvs/OPRAaWUlQ/fu5YKYGA7uV77nlo4dhVvT1ua9956ZWgiNin8xfoar3ZkvacSIHOWMAIY6dP0DQ35rAuoFuh1FjXhLVlaadIUGVXvsdrv/YPzBilZlraKAhRI5t9YHbK7e2FzvYHPtxlBeSt9c0jf+aAXec1LKgZfWJi8bvCT96y1/NVmZ8Fva949fNDd2XvJJazC60jQzhXRDQ+cVYt+vsK2IAXh056PNwn0gGOyCUkG6ACVRuMiQKDRRyFcACMRMFMBlpUQ2yD+12+3HRVWgtIle3Beba2kYdGWhXwS+H/DtG4VZWx/nmk/n3HrOrgWpZVElJh3jHGBn2ZYtASllxAxEODPqryswxDMWtF6wGUXl6NHYMUD1LHXoemdqam0XlGz829LjeCeRdsz6rkQubWCIGlO7jatNScturx/oi0VQ0ia+PyB+67/jmP2bt2iqP76qxZZJyXid1+F1fmMEVtWLvkHQfwQlejDbn5sb7c/PNyUK63S9EYh3gE5IVlypQqr6kJH1ZnsMSw0AtwzgAdSaMkIijxqljRGATfp8h63JyVjT0qpr4iFzkc2G3oKZ93XE5qpEAXVuL0mobPntFZv5fMjfa4FeBpgsUnnDrM1FBKcIxKhCm//K7+7OO+KLqi5ztAF+cmvatuKCqHp3biFjBesCj+9ZWN3woM4OrCELgNC7iqT0Fr3L+5+66mjHQCwpiRt7/pjx+R2747a29eOvViWrpu1c++1O4srBUE2qblQhEDz7zCJKkuMI3rm5hVnXD8vRrH5H4ioEd35QVlyUHm3LLi8JovuVojivBW5Nc5kShYB1RQYWYqpGc6hFJQ9Ps2AGy8rCivgLxMCfmnNxYhV0Hvo+D8RtWIrN9Ts2VxFPv5iJe0Q0KpDLr7xskbz7ixfpvOU1HF1X8tqfZjdFDpzuXANIKX+n7n3qQk3Z5meCGBqNsdN1phJYIoT4SwjRqLY09dgTQOmGDRsQQvBdTAz+ykrievcOAP3KN2z4qyovzy/9/tCo2Oy3WEeey263b6NhjqjpcKudkUPXXydEfuvIQw/NkX4/UsoLG7oQgRjxU9OfYtuVtuOH5T88jM3VFJvraWyu9dhc5agU6j2o+tshVFTU/8/pXfK3jW8TwOt8/Lw9X/3o0PWewIVbzivxXbogTcy4sLNlntb97eC6rt1uX4dyyJFqm+HObwxw5e6E3QcNaslF9X0+WMwb9QIMBnJPvPNOW+MjNwvEINSOsgBDcCOsKYdxJTbXZ9hcR8+/Y2tCn2f2Jkh1DlbUYvQQ0ASv0xaVO86y8rw9TbAYIhfUpWOUrljRRAhBvtu9LDg934B9i1psq8clnMxiI82h6z86dL31vAnHvtzvz6FJtI1ZQ8+9OyK/sWY+eoZIWn6LIWmZvKdsJ4A+Mfs34R1708XfTG/2e/9dBaVJvnC9Wess+gZKejSQ5q+RKJzl1rTjbk27GcC4b/cABV/+Xl3DrI8Ab65akbprAKS90h1OxpIMuCVyQfAfHbqen3j++eMBEgYOPAy0QPLtwq7neL3NJ21QgvlyH/+9C3Z1ikcBV74aPnPu9+m7HuOOGZ+sGvbf98/F6wxFiIdaJKALAALRFpVBqwL61y1zyC7fz+rIb5+27uSuv2epacG6wG/TCAWn2mfrisXmurui1esrLG89yJhbpvLEW1fEZVe2aX72yaG++NxRlEp8a5ssEwuy3mvuzpqV786aFSzVZz635k54CQYKnU8dN6LKMg8IUe3kTfRvJIS5ekcEC1g5cEpsVAVbD3dLBEX3M8aejGIv3I/iiU8psWC9dSAtAInfOhB/VOj3VjcwML+o0y5bYq8tLZaMe/dC9g+6l5VenbeSVpwhJQMByUBPgLveLcbQRn/1kcVyjv2ogunVtOouRfmR/y3bQs1GbBiNL/MBp+9M+0sp+6J2LvcLIRrk0EUyo6Hr3UuXLj0KcMkll5RWVFXlxnXqBBbL9cCRsvXrrUiZNL9fv0Vmvj7IYUZqkbOXejiihjPyE+KMguS3EoEZBALWih07qMrN7eHWtAcjXYdAZFurxAfRO/MCbb7I5cJ7DmwBjqHaWfVBLVQ/oBajaLzObLzOO/E6V6Fk+hI8Hk+1sxyu54x4ac6B6GkzD2y2+sURFEk+tGZxEGjRGNEHI7U5HfBVWavOE4iTKBRhg+bQ9U8NicL7gKKKTZvsgZISyg8fuMFSxVeo4OpSiaxdY1LoyunYXNtRL/SPqIczs7htXJ4+oQ1/T27/uCHV1x+v8w28zqIQdGWdxdukY8hA4AkAS3z8GUTojhEyB5HGNbMckbsJ1WMCcdYPI0/eMPOutZUAMZ07V2HwG92a9q5b06KDJS2xucpQqWVT0vIwKrgbiNcZE59zT2egsjyZHlA9v5fUmV+3MO972B2lQ9eLYlq1WhQkUWgDPv2oV7eDrXbEfmOOe8Ph6vRbffSdBrM9b3Tm7Cd7QbKP46idSx1L3lHyDQFJqzYDmlznHZHXtbQX5ZayzF/Tvu29KvmXhPz4o5t44E148bFv8TqbCu/Y2e5hfw1BUIh6Bxpj5vXUUaMK4m1agbslcp/5N5PTm96s7LJ2PQo4ujspEdWz9He3pmWHjmWMdyMqk3WSGl3g+hWcVGB5OTbXAmyuo6iyxXsxFdH98UVR3HtLGQZtJ/3kPZ1vOPEQjh2rvMDLqHs2ASh0a9okg69uahkXGtrHFwC7JPIeKamghjc9xfhcuGbf5vWEviNT0xLz2XSgV4IQmA5VOnT9GeN73zbmctJHC9rSZFOCAJ6U2Qf+QKVO46kpnyinP32sDZvrXWyu3auGPFS88aLH49586kYyjmRyONpy4rrCwbQ/OeJ7vM4m3PhVFT235ON1lgiE47leWM7xIrmB/cZc7Afu/l9uDD4S5df+Ms75tFDdp+VMpZRHjJ+5KPpHo3dHEcZzb9mypQXgP++8804mJCT8DFhaulyFDl1vac3IWCiioohu1mwwKl//sbFo7gWyIjjMxnBEDxDBGTl03e/QdSeQIv3+Y1E2GyI+/g2DA3k7UK28FMh62+25etweb9eXov5761WWdp8eR0aLaFS99VEgHa8zA6/zKrzOT8MoL5n8q9ugBrUJ5G+8oORMh663RCEpT1JTs/g44POZ6OEL65vfkNTmHRJ5mNPU2TXmZBZqoZpUeeCAjIqOa/LS9R3iRj/RfMU8rftfhnjERGyuP4LQlU4U+vIYqrZ7IV5n9MYpHS46cV4KRd0Ta2nrGs0AwqEr69iNCxZMBSqTLr64iAjdMRo5rlkviSRCHtGMlNqvgDgSe+R6gLT//GenRVqfiQpEB4DRif7kygOxu3MlcjIqW1KK4qDehgqs2uB1/gevM+uvxVkAACAASURBVFhqcK/P4rMJKeKApyTyL+paqvGzvvTslwBNH310PQa/UVpp9eLQ9jGvXtUhb57WPZpGpEUbyvYIRMdnetOvbQk8msM1IV1W+pjljb5P7ClP21iMP8GanCCTmvQt6b/lglODPhDSsmNf/E7Lj8nf9Pp7fxH5hfgFIg21voQPJiJbRKALiufcjHBlGMOuHLXv0DlDjnLBsAPLUWuE2bP0B7emVXPTQ5SJgsswdUX2g2k7KrD8CYXyzwS2fXXVho39Pc/Cw9NIvnP2l3idr+N1FkjJPuB3sLQYnqP/gVrc30WhjacA+Xs3N8kGEA56oPjmFcD5Qd/+gPGd441dYrXIQ/AphntHpESmJ53kRHEmKFpNtRlr5DggZfVV+TuqCqOZNKot87TuE9yaNhK1a61qQvlD/kzXs7xz70CmPg67Oi8DRpfEV7T/deAOHn36m3weeGM5k6aQMfmxvgsr2xfukymDhCAZo4xhNKifm1kBn61gn/TJtlJKi5Sy7f+yI0VKuU1KebmU8kxUM5Hdp3N8o52pECJRCJFs/htVy9xS/1GNtgMoOsRnxv8dAAl9+z4M0OT667cRlK8vWbPGj0GKDzPWfONnff0hV9OAM3Loell8jx6vCouFxIEDt8X4Y9PblHeYu7fVWF8VvirgV4u03Jp9KN2ytdOxYuCtVXO6lvz5dpcSvM5z8TpfxesMp9cabGbUf1UQKrYWId2h6x8aNYvx5hx4X311GID0+xuq5y5EvUCfSaofPJPPeHsDx9YyIyp98e/z8/dGZdroUNhRjnFfPPDi/GsCAQImuvJsVLS9BBUExOJ1tsLrvA2v0wNgt9s3E4IKNnYNwU6/we40wF5rSkpShtOZioqA/RjdMUylqYbGtdvtOca5nHYjYFRfzibAjJOtJ5fFHauoiMv1abd4Rz877MSomAEFqtS/ImUJX2R+UPllxtzn3VmzMvE6B+F1zoskaflT05/88YF4zjx55naJfCHcZ6hZFOvbUZoKRhc6dH3/cD1n0wO/7GRT/+KSFvtiM4HV30zv+GFZsRUipEWDLGzwajZxKLUiPlsBTzrHHA8pb6wnqLwh/PJISXYcni96dsbr7Nn8yMujbt66sQtwYWy8/9jW1Rksfr/D9Xc/2fxgXIklDnhGItc1cG7BFhboIhC3o1Lpx6i/wYQNoFXnkh0OXc9GZSy8qEzcMbemLXjj8k6J1IiTVItcGBZHeXRVPapkxzBUyfA6o4V37EM3zn2/d2mzk2aaPRS4ZvZSfctI4d+LCqTmA8mrv23V6td5bej6R4K5nt0UrH1s7E7NXeJzhAme6ntHoq0+rMIfAIYLQZ3Mz3A9Z6Dr5aOdv/xwF616nDqCVG0RF3UaWKhnTcWb8UG8VfAM27smkVwE8MPcm9c802TvI/LW2XNLXx37azYd9lQCpCYU5qKCBCsqaLD4azTEo+evhDZldebnf9WEUBxWIYQFhcyPpKUc1k5nZ9oUWCGE2Aj8ASySUi4WQlwvhDiE4gMtEkL8dDonYJj5MBRTu1n4LqAitn37DILy9UU//tgdoGzDhhfDaKguo2GOqNmYO3IdyOZK6XfvtuR2Hx/l0qXdOt+Yd6cYUHg5LSvbRh2NOWhZlbW8/NyvXqTdumdy+//4Ripe54O+1OgthOqi1mN21Z+1DCXTt4pwhHTDHLr+pjEHz1UdPlwVKCmhbP36kW5NmxJOR9ZI21xFbUI61ACYTkfKEGyuARvtE5f0eTW3/fmjtnJDzhBxRsm5xAZi2R6/iWVNfij/Lt39CF5nOl7nFXidH0YQj4C62sQLMcQRJLKxCOXfARHXvftVDl1/GpV6qqU0dfknaZsaMe5e41waIx0JwLl/tH196MIzzv/h5nsrpW36PcDSZstOxVbYoilPjdonEK42FR20EmtRHPC+z1JprbCWPYVqah8RayAQl3/U5qPuAFP1qevrOYWI6TrTghWMBOJy4P7CDH/htFkHMzC4e6WF0e2+m9mJxR+0HRopnWlY2GxPbFnUt+esa5v1s/MGX99nx8G27vuop7xx8qwmLxuH3hE8jkPXPTc+tOPhwaP3cKp9eeWFX6clzrB3Zp7W/czTqIlDTW2u2pkKRDaqyuanHhUfw8w+wAXGeS1w6HpTVFq+CLipySlr0cBvUtpbKw2RC5vLis3lwOb6gdcmNOWJV+KpUSWroLYqWStTlczYfX8FyGc3VzePCOVh7kE5ulZCqDS7Q9dLHLruALI6n51XlncsnqfubJv4ytXtS+Zp3cO9b2NRO84JVX5rjchDjYV/99wiUQjQWm/Zi0LruoKOQSBSRICFXXdmya9fHcAFm0emDj0xUvQq7keJtThmQ8YnUZ8krWFEWQ+ffGHiDpyugPCOHXqna94jAas0Ue9F1NSZK1CKWUXATVIixvelFYZalF2FCJFRyKdpQoj5KL/TRQhxSAgxCrhVCLEDhaU4gkqTN9oaTY2RUu4Beof5/dfUCHX/U/sctRu9BdVpvl3Q3/YA3VrOnGmx2+3PuDVtsv/Eidf9RUUPyIqKHqgawjMGiAi73S49Hs8R6odMf4dy2jU1X5vLiqKbjEBRcjLiT/ho9f0JijomWBKo/BWYvyT169W5TU7Ms/jFGfffn8rdsU1OxZdae6HzN2pHdo5xLTNCvzSC7agSVb2tAWu63+JfLpGvRvqgQ3Uzedatac8HysoKY7KzE1AC1+OC56C+1Kbdbj/q8Xga1NnF5spG1UqvQtVYo3vntCLrRAF5ZyZT1Dbe22nu0Ut+zPh8H2qxGgq86ta0R4AHHLq+IOLYaoHoCFwpEC1Qi3QtkYtG2HyUUMRNwLcO1X1mrFvTHgXe9UUHbrt9avMeA79NDbTZGvc9kaErK4zru5KaXXtts7mSje8aWhHj67PK91CcRVqQyBjUbmN5Yfu4fCxi9No53eba7fbJAA6cAHe5NW08SjTgRuBdt6Y9T8gcCUQKsPBw3GHpx0+0jK6Pk2kCSRraUW4ALk2pTFlYEFMggcsksgKdNUDXnQ+nvZe7P/Hu/Tkp2ah05k/Afxy6HoqSVXMdkMNQfT1HHrUVDDpW8UJqamECQDQtDoEqb3wJzImQlZmHoiZdDjwb8reME+0qGPv13pjOf8aXPzGqbSlB3ZdQlLWGULa1gC5BaNsoYLRE7ol0oHkOxs9a8+rQ9XfcmvbuuosKP8w4Fj3i3kkteXBip4F7ip0FbemcbMGigsKyBOjzVxXrzplMKG2nrq1EpYWfvO5w9Y4r3P28E9iJwj1UNwpw6Hre0a+EP3CNlznrm5bbv05NBH5wa9pO4A6Hrq8CkJIyIfgEuGPGL2NuHHeFC4w0uECMIvK71xTggi7LN6DkOUcIwX0yU60Liy8cc2+X3U1j2x40piymIj5Gxm7vUXrm4gCB77YkrZsSnbDh3MvajIv+6Zs2HQZctScAVR6U83xdIk1WRSJqLUZKpBC8FG2tfGFjGszsTCbg/eUXbkYFjv9rerxSykgbqbf+6Zj/Fm3eYOe2HojxeDymaEC1wgwY+fotW8ZZEhOPxPXqJVEpjNfcmpZn5Ouhpvdp2Jqu3W73A95Yb0V7bK4PsLn2o9J9n6KcRxJqIXpu1exumza80AHPFz2vx+t8/+odK7eOWrc9ffziXXhbVB6JL7V2Bta7NW1t4Y8/mvJxDWr6mrapyaY9UTKKXgW9SmlkH0qHrvujMjM9UVlZRLds+XXwHHzcs/tIatI2IyOkTHcAqR6PpwZ1anMlYnM9UA1NV+IRj6Kg6SffHP1bYbeVU2i18anJ252tTx0ZkpmI17nZkN8LFvO2AZ+6NW2/W9Mikf0XAJyIPnEXNejKeuukYWwZKgMRXCPCoetlw/WcZ+9esz2wYNxx2S4nTkQFxNw6SlM1ZpYFanSS1W5jGDbXd9UEeXhNIs/L6XwsbspDP+G+bt10gahWXjrZL8VEFdZRMDLm6CbUHC0m/BypxdXCZCvWhgRDau2g6rFFAN2KusUBz0pkLbWnTn1P5fW//jBd+3nfQgWxV6LSmZ+5NS3ZmIvOA4dtvsZa4idzbYEDtdO61R8lU7+/TOdw01Pv8/Qz+3nsZX9D5Y36RFcOx9HMaHbO1nPKLrptS04GNXQMsyY+PbQmHmKh6NYFqPLR9xI5u4G5gkg1V5sr+1L/bW/2lhfedvO+2xhYcAUxMtayJuW3Jj+mf05O/N9rq/D14snnKxjxybGGVMkEYjqqTd4aI5UfsdYrJbtQO6g2QnBV0Bja7iSSAokBZk852lYgugF/odLJK92atsGtaWbAfB9QtWFfH1NMJE8g2lP/u6fau5UmlL2SsGL11IRV0cfT5xSjFJvGnbO+bWxeWomPdrvXMmkyvPTIZFPzudf+D3916Pp5hyvanbf81LWc3Bdl/ebdjlGOV5uenXrMulMiJwR9Tzy1QVtTmzTfW3LTAIj3K59wSW6jyhr/5/avcKamc0PtSM3oy6zphZUiExbLH5b4eJH52GOXogjcacD7bk07Wrxsmck9ql1TtLlaY3O9gM216ZzRW23njtkRjYr8WqGcx3tAX0Oqrw9e57P+JlEmSMhMlX4CtDnVtOrHhxbvaomqu+4B+hV9990v/sLCgKyqalQNTiDSXuj6wmCAidsm/nEaQAsw5ilr0qStqMX1KyDNGhDvjx/bqmm/xclrJDISOf5XpKTlwtyp2FxfY3Ploha5t8CApiuN2fuABOEdO3/8C1812db5+J/+qMAz1KCQm5oDhhHzrubumWLeQfaTRMqdyTuvpQZdGV7kIoJFUqkydiMrfXHS+u3ovJFCipYooFALYKFb03a7NS24E8qvQMBa4r8Im+t9bK59KMDNZ8AQVF10A/B8iy2T1vT97RWemfjDu47Zcx8IVl5qhDqXOUeDjDmq5je+dF2HvPSjURrwh0Q+i2rOEOXxeCIpitUHtKm2oecO7VIlqhh0bFCxAYIKtRSAvpd5v3foejPgHqQoAobFBGILt7cZ7fPj326RPJi6pZiCbokERGBB319eym+94SlGvPPRf1puefIuMk5G0Xhx+BzC8FavvpDRf6fDRceZL5Fmv+JQOoYTVROfHK60gdrlAJwUCAcKN5FLw5rApql5zUsrwuZyBgeWWXnJD9ywqLeIr4gpbl3R/qvLTl5/PZL3CqJO+jckrznns6w5y4/tTTCFRSKakXJ3ohyDiVIOy8MMsjuMny5jjGjg9zg/dC6kQCKPO3R9m0PXz0LhFraisoib3Jq2cl53rSkwPyCtMQDlAi8qeLMCd9V691QgeQsvTHqbmffBky/e9kjChksmxP/NXn+TqJ2tTv7df9Hr2LY9XnTWr6+m8OCbn5HlBaus8yxO3L1wzZyjk+edui2WFYMLGfRROq5LOndya9oyt6aZAMh4gp8dKajwXBrYnQSOD+wnJHIbjShr/Bvs39Ac3LT1qMj4T+P/l6La9KwgzA4Ehc67LjY7+zqHrl9vcDE/Ai4t+OKL8Yn9+yMLS682WlDdjEIjVvMJpVUU77q9eZIvxfpFt7cP3VSPnutHKHm/awWiEJXC9WLsPh267gE6GLueWeUbN7aIP+usTHePHguR8g6HrtcHQlp1PP54bLmlPNC0smmj6CpBNg+l8nSZQ9cnATdmb417sM+y5DeueT+TM5cmn+ueoO0BRjl0XaVUbK4+wL3nJVkHy2hBbH7VWGOsSpSD/A6VnqrezQrERahuPsXUtONajHK6Iwhpu+TQ9f3ABQZP7xNU/Wy1W9M2oJpJ59jtdjn3z7kVbUrbxKHUo+ae5rWb9gdwg8fjOcugPIEKKppVj6vgIZe6Na2jcT7nAMsWdO+1feCpK5fbfW36bX4i21LaMq4VChofQNV0lxpzsc6Yh8dQ6f+dEllHCMGw+tS5QudooFvTtPxM3zfN98V0fOPKTghJjNuvdW85c+ZXKAdwG6rfZqiZzjSibJ1AXEws9+5P2M/AEwMj0TVSCAh4b/SZjHM96GDMuQECKcejD7MxaS1/Ja+M2pLwl8z0NVtCnwnlxFiv7bnz3eY5KYfTgK+CgrXT6bTyM6qeWK1SJhDTSCdjwlaY9jdvB3eHNUobz7g1bTKqtdgYlMjHeLemPW04XNOSAISDFigut1knrb+lmqFKRpsJN3MyA4qTPgz6a9EvA7cffe6RH5uv73lgZUlS5QDzgh1M+MataQ+hUvjDlrrbWtKalrXNf0G7xaHrn4Z+jZnKp4ZSZqatTXR2WGcqJTuE4A+gnxBciWQCkN6+hEC6r7aDcej6OqC70ZRhNmrd3Du3a++lWxJvkYDoOZinqXlHPsTmOhcFFLsYFZwKcpuBJQDNjxzjSKt3u5wcnr43Jm4sS+7vie2EBC5X5y/qfxbHvzb+kfEbh5fGBDiV5n/ymrkZY1DryEG3pi0a+rCIjYmtJUrzYXH7Q8lTNsL2T+7MFPcSL+eFRyH/2+xfsTM1bKHx8wZUBNIVqncgh1G7x2CrbukF4ND1o47cMZfb8wfd1avwrJPdn9vOwAcOtANmSqQdda0rUG2pmvwxq2urw1dnkntBWnZ9wugm4tMnfGdjyIah4PC1XlCHrn/r0PWW1szMpZb4eKKaN6+msoTjQAqEy7jGVXGBuH1As9NpFm4s1gWodBEC0fZAt4ppC8ecqFpy68kLBGJ1VCCqXYvyNkt3t76/rMr2ZgUqYBkdU+xveap7IjtHNi8DzjMUVXrhdU4KcaTJKLFzCVwR9PKbi004NLU5H3XEvFHcveVd/0wY/2OzH+Nalrdk8e+Ln23sNYcxE7E6wjjf21FO6BghClGO3DGHHblj5l6ZN3RddnmnQADZZXnq4rvWJ67sFbu3oLK8aQxHLk17FIjC62yP13lXkCPtjUIrV6D6i0ay+tS56thwPeeQ07Oz5cOLdsnyBP8Bq1+cAeiHx44dLWW94hqmZmjYxddYtL8HZFpl2lYLlto7QZvrXGyuD3j10et56gXY2uMljPKGBcuG5r7Wz12YP7gZ8HKFtbzycNy+K7zT37wSoFlZswtQutbBmaLT6bRi0pGuMc71ImBCy1Kqpm4A1E6yjgXTMVDPXzzwulHeucP4WIJfvZ+rUapEToncFfYswqiScaBtO8riIdq3CwUiaiO8Y2+97CtX8xXn7S4oTfLVEScxAEG3AFm9LzpOYV5sFBF6llJTJ30+JOVu3s+w126YQvbe9OnHqI3GvrRKJBHUmhy6/otD19uh7tPxaEvVxX2OuMX2P9MpLYm79O6Pzi8O2N7uYKhNrUbtfmsydKPee43Hp8JjL0/F63x2r0wdzzv3SGwnoiiPmWpmD6gJBMI709cfXlgaG+DK5R1Y8OixSoeut0JJxOYBQ76b2Sljy4qMGLemxRvc3RHpFRQ/rsOJIptA7cbNskZD7Ij/U/s3OVMznXsZoANJHo/HnESzBlqdLjRbekXnV3bG5pphKMr4WvrazulRemZ6k+MWefyCdJbblvJFxge4s2ZtdWfNGoXX+TZeZ5Hdbi9AOe1uDZ2YRO71WXxZIiCigXFG6iGsxXXr9ixAytChfxNBfstEVxrffzEKJGGhPiWh8KYDSd+s/CYDWG31WaxvPHHjx5++9NTTjtwx3YeduIsLC68iu7xTnDf6aExO/N8FR6IPjAeit41vs+vI4Mw4zxc919Yz/nIUEX2qRFZ3jghCIdcBpIVasJg3igI14GFnm9czfz4kAeJk3Ih6B6jfqgOqOqhN23SwuQZhc31uEORLgVnpfttZ/QsvLbsk/5rNcf6EvG0Jm9i4c14MwNabEzuGBlZGSu03VDlvWDD1IIxFVOeKYMuB+BMtq14cvXp7NoqCcQC/f0DF9u1Ueb09gvmNQVZHUSbcuMCUdF/6QoDs+cfmY3NtClo878Rri6frVrBUzSakvBHnffS4Q9cnYvAby/fviQqUlzPqq/5Mva79rJAaWzSNdKZ2u32H8dm+wcHaghWsj1Yj1qtra0gU3oFaYM3yzn/dmnbk+P749DcV0qI18KNE1lAblHhG/apko2et4PXxMG3ChXidjwvv2FIUoMps4hCxDOOYlFOqnZ/HVffsWonCeQT3LD1fIN5AlQD+lMhnQg4PrfXWMSnJocPOLbw+IZOKmCrgfNGAaL0xX186cse061rS250m4uVfS5ox4+JePDbpjKQAgZ4o0NNCFGXIDCTvoddmEzmrnKQUL3PHR4LXHoL4imAB+IjPokA8BZzXtQD+89nZAE8KgXDo+scOXbcB4xKSfWzyNI0JCFl40WepC0QVgfkrmGE4pkpgRHF5QmMBd/+n9q9xpsZOy3Rui41fmwutKdZ9GzZXBjbXJGyudf3u35Z6/t3b41C1vfaoiPlj4IK1s7s/vOuelpQ9NHiOz1q5G8Vr3B6Srw912mFtUdNFIsGfwNn5Z6+XSFd9n8VIS8d17ZqOQWUhSH7rvfO6vEygOtVjEtJNfm2jdjTV5g/8FH+0Ahau2fXlHXc1K247jQdnX3gnKnKNFog1wCM/p3515W9p3+/akLwmZVnaojfcWbN+9RcVrSdIZzfUBOJVlLP8WyInhfnITiC9gWbh1ebQ9SXD9Zy2U97fd3J731L6v1EoZGUlFTt2jKoGu5ymGQFVnkR2AlbZcpOiFt18r0fapv+EApT9gIrMM1G1uteADnidSVlHX+h17fY1mQiu9R06dCRQXk75hg2jw3TH+BmjHi+R3zVwPg2pc1WbQExDIarXS+STUC3jmA3c4tu/32fNyLCIuLhjbk1bECJRGHFnKhDTonyWnrd9dtYBaZt+wTl354wFsPjlIOP7ahbPlx75kxEfw/EHR+N1hm1S4NB133A9Z8zItTm5+9iGLa0rbXbGTXZrWq5b08yEbMTWaRFsD2ATAfE7RrDW/4SRJnbI+qQNg8+rwKHr1wMtURmB5r9+0jZr76ctLG22xZz6r3P49dhcI7G5fsbmOoXa9dWvSqblmOlGc4doNnF4shFNHLIAklKrvA5dt6Mc53qgs0SuvH1KswfTj1pLqSmVBJupZBQRrSoQVjb3aklGHgxedEK6OYZ6f+vOV43m8xfYXMeA0r4l5zuuODJc2GPO5qRIYW2TZSywvedzZ82a586adWOQ5rNp1ZxdgbADE5AUM2lKBTBaCMxG72F31QJxJmq+y1f8jGyVfrDA+Gy1mpxD19++YuRe39lXHc4/0cJnveu5FtbZ53UJpHzQbICU0LXF1h+B6Bk/32+ui43qxvN/Zf8aZyqEcGzfvj1WSpl0zz333GOkua7C5oo+/z96Ypsvj9Nn4q57UQvIFOBM4adiz/Cm7BjZ/DMUj6u1oSizHEMQIbZTp24OXe+ISisdpiZf/52/qMhECkcUPxCIG+e3md8JYOqWqVsbuo7gtLQhdPAs6mV5C7AmFUY9+uxtbeNueTVrcRAh/QeC+LX1ms3VGZvrTWyubQNv1Z/uN3YH1/23Ver5f7QjtjJqO/Am0AWvMxGv8zy8zmmDdv7+k0PXO6EANYcA+4nXXx8G4C8rq7MzNF6eh1EvaqR2YtUNAxo85xr7bOu5penTZh38nkDgHt/Ro1LExaWi+Jdz3Jp2Wm3lsLkykreXFCCJW3/FpBa52lQGL9UuBjqgAqtq5SW8Tg2v82G8zlr0CIeuf+vYvLlloLy8JKZTJwhSmko8ZX0M9bzslsi7GnlW9alzAdXzOwE1v3UkOR26viD5iismCYuFmI4dK1G0hVNuTXvPrWnR1Cy+ucY8CGyuq7ef89SyRbfcO+FUh1f5+P7b2wD2uHw/0aeq5KGrMhWnz+vMqhbMt5AARCxxBNnnvjjZ/HDLohPRzVtgTUv7FRWgzHNr2sFTuTGn1WkFg7fatqztGdQEa9UUidMxh64fdej6Zb9fV3jehiHlnPtTKi/d0Cm1+6KK8lJL8fsYgSWNUyUzOY8+gZiBEj5fJZGNafNVq65nlDnO3N+p/OLVgwrlJZ+l8fZlnRPmad1/dmta25BjE43vre/6vye+PI0Z959k6aXNtMc2mSUW5YBraz77UADFG1H1df3FcT9t/2j+48Q98SGjti0OvHN4SgWCAMq5Fbk17ekQUFcywB9plGGuT4JBVMTPQqX1TQqfGeRVO9NgdTDg+oxKRL8Of+5ApeBr7cotFqwfjSgQDy3eJb66N/dgfKlV7t6Q3n/J3HYMsb59Aqoqtx3p3Bfg2td57d/UvzTU/hXO1GwUvmrVqlghBDd0GNii2WIv3afuvQSoiC4NzGk3PxeLT1pRAKXHgcy173Rtd/D6LI4OzmweKhBgt9u9BHUFcej6d6H5+uOTJz8CEKiqCqs7asqGHY47HAgQkFasjW0WXistbdR7Hrzzj62zZj93hBZ7Yrl6buYgs95joJlD+bXKbK4UbK5HsLlWY3OVYEDTgc6VUb4Ta+6L44O5PjqvmdxBeMd2xescj9e5I9xJOXR9kUPXWwO3VR0/nucvKqJi82aHW9PmmXVdgUikhm85SBJxp3Ba3WsEYjjK8eYC1zl0/b3oNm2WR7dujYiLq0DJKBa6NW1aRPqDzRWNzTUCm2sxNtdJ4ES7+cfbCyGobJcqAwSClZdaBysvNWRRqanrYlq1wtqs2TMY6fkXbmr/0oWfp/qz9sWcTn9Ss7NO2Hqykdo0g6f65vcjgIx77zWf90oU17V47aJmXQP5yTBu+pvBi2eXPU3tXXc2pTS+ci+qJVs7vM4kX2rUDl9adJLni56hu8cEQuXv6p7vCNSifPz8vPOnCiFo9sILv6FagnmAVj/M6WD55ZPsdm7Vwq9Bm99q/haAc/LOqaImWKtf1zac2VwdsbnekLbp25776r7Vr3zwEDce+w8dy7qzO34bCzPm8WXGfze7s2b1aaQqWQIgBeJKVLbrdHSBw4rIP/HNnjdnTDssZr1w2C2kOICque9xa9rioBR+PPXcB7NRBXCApyZfDCBLEmeQ0x1czrPDaD6bGbqBeJ0xyHirAwAAIABJREFUwjt26qQnv++SHF3mT/fhA8tXywuujx259Y8nUCCwaNQu8pRb05zG16YAXHwpM4x5MXuNPozCDtwrBFZqiy6Y9otx/CzpxgMQG11ZiErLpwjBA+YHN6VgeVkjVVrI/3LsiQ5Acvve+bvKiqM4tidp1Ltdzo5pXbGJAHAoj6b8yxqCB5uQp0Xt+390EkLsA7IXd7qKtOhUenl7EyfjKc+IIuZk1S6LZPHatzufVd4i9lygnd1u32ce6/F4SoBKu91eR3XI4/H8hULxNglFV7o17QFgStakScn+4mLy3nprFjDOoes+qKZY7EI9nOOXeZY9AmTZ7fZoGjCPx3MzirM6w263O43xLkZFa0X3PN6i0wXfpr6Dqq0J4KjtySePxLRocaa1oKrngFFbe6BqredSU3wHFfX+Cczf1O3wvN6/v7R7/I7xLYccHYIVa4yhetNo+3XhwgICgSbHn3wSFAhj9oi/c84NxNAH9fJMbOA6fcBxu90eCg6rZQLRGpXaE0BXExTi8XgmAlOl3z/xyNixaagoORblzF4EXnTkjhkAjEZRkFoaYwCUFydUbL9j1qc970t82VJqLf1ryIAhp9OcPvRaHkE5oMedUYNfS8mLKrjqv5nx2TviQKUwXwOeMtCl9Y1j3udP7HZ7uF3/3ygw1ksS+XgDY1U/2+VZr9jWJ63+8ljMoQHl1lKR7rPRq6QfzSpbSQuWwy87f054546V6fuy8+qM6/F43kM54mvtdns18R+3OAKk4ZBhU/Uh963zMs+yIlQwtMJutw8E+LR3t66d+uZv3fFnOlIKUA3URzhU/9dwYyYS4PiXa75MjJExR4f0H9LCOJeDQBYOGTk7YXOlGNdxI6qnbwJARXQVP1ymE53ulUPid55g9pim7qxZA1AKNh2Mo38zzutwxPHdYk+xldbJN1OFeg77NVrO0C2GowLM53HIp41rfRXlfP6WyL4Abk0bhhJgaIoKHr4a9sjWc6JjZNNw1240qsixVonAhgsnPtZje4src6rSLulgLbDGigCIAEjLSRSy/ROg1m47+B4WfkZ+chWJYrhsjqJVFUpJmlFCeA9F/7MAJ/pfd/DY+iuKetyg8iYbJLJP9ZiC6Sh6z2tynrgC0HBIi/F9E1Fgve0S2RW3yEaBmhaK4fJOVGaxQErSOxWKptGSYwcToDiaXtXKb27xjb9KXPvi5NZlHWOaxEsRICE2k2cCf7BpYznAfill20bdl/8f7V+xM8VQKxJ+H7vYwDfN3Mw/y8PqN7JZ/nnPJ/E6x5a3iDXriv8JOXY7oQIENRaxK4hD198GUhAiNyY7G4QYg0p3TDXSHXNQjnSpRL5JDfevMRzSal1UqI2uBC5/Z+rh48H1noSqpOZpb3rO7PbGAc69b+tmlJCAKR7xNyo10gyvMxWv8zK8zg96//7SR0DLMmvZPitWOP3+pkSlpnqi0tOJ6dJlBmp3M+bFYe37DPowPXee1r3ehd6wg0Dz+lDIISo094WgKz8GEFbrIBPsEu9PmBcViIoDpmT4sgK50Ud/RwUWzVHC0zOBHsI7NiF5/8MZXw5eZym3llcm+5M7nu71h5i50x60pX/pjyuvKYx/6rM9H2Gk51FKU4UGFaI++43wVC4E4iWUI93QkCPF5oqOO1rhFVUy1d9iRn6cTMg9v+iSgdfm3SbO9J8hi6NOsSx1EZ/a3i284bnnciY+8236vuy8SOOawhShKjexqPtex8Lctz1B2Z5q9axbHtvmPfOy41x2+55VhPAbw6QzAX7HQmK5tbwouSo5K+j3dek1ivN4MzbX99hcJ1D13ldRQaYP+HW2Y9XMxP0TuOHDOXlXnr0wQI+cQrxO6dD15SHlnYtQ5Z1vQ2ritebj3n5YUYjbZ09TF7gW4jRSqcSh659Xc3rVLnbotzM6td72R7oltMxRnD3t4ienXbHxiztGWctbvRHdY3uL14HLO1oLquZHtYAxM+CZp98x0tZ1NJ9D72FyFVbAJyUFqDRwqhA4DUTycNTu+nsgY+U3rXus+qIV2Tmx5dQtPz2EypTcHwiIatEFgeiDCoKDUe/VesBSkm+MnyYEYw4ksmpbE3h+E9skcnO1WMont/W3zr6XJwsejh96YiQ9Ss+iyl+BPF7devifNgT/f2r/2JkKIfYJITYLITYIIdYZv0sXQvwshNhp/GyURi1Gg9cr9ixBjhpJTC8NeSCHY888Q/68eW+4VWNqc7ELBcz8avy8mbpWb1cQh67L6BYtvrDExZHQv/8i1HxMLI8PlPZYmTgS9WKY8HZTMjFsi6lgC9JFNaPianSlRK4xxCOmOnLH/OTIHWO/7uQIztrTgxS9mGPZZaxLWpG/IWHtrQa6si9e52S8zmqkn0FIvwnwDjkyxKz3nlYjW8O+AbCNG1d21+qtV0x/5SCxZRZue6VZFiqweKSB400Ucn39UeehIPc/SuR7wX+w2+2HCciy6IKqs7G5Vjhyx+Rfn3f78BtPjLScWTSAImsBv6R9w+eZ7xe4be/chtfZCa/zfrxOPXjcRH/iFlRf0sh9RBswu91+FCg9FXXqbBSqeq8/mjscuv4gqn5k0jFC1bZCx5GoNFutF14gBqBqdqWEqZMCYHNdhM31CTbXIaCi/SfHsmWUoLBzfAJGecOKNbPL0+6j1zy6qRxY4LfKJkNnZF3+5O3ZcsbAzm9GuLxlhHfw0URwpqjMSitgUch9207tuW4KkNmy4pBD17uj0Pj7jO/a69a0n9ya1tSYgxdQmaKNLctbLqG2Spmi19hc/RpSJcMILIV37PDRb82/yx8dCAAXRKlnsZZ+a5jyztXACbemfRJKWXN1In1eOwSwNoLIRX1WLaTRmFKJQ9ffQ4F8JsYm+Fn/c7MoIUXR2nZD1wVsb+dgc/mSSuN+ff7lIXGXLesqo/zWnSiaiBZz4r64ha0CB+m6jRW5Wkw95xT67gVTmExO9XNB55Tv0PWrNwwo6uy53Uu31Ym8MKx93Dyt+0a3plU7VCnxoTYbcXtPtG0KVBmo96WoLMaNEmmChUI5oup7x7/2RqWV9q/+lsqDz90cg821F1Ms5c9zMslPR/cfrbxjmpsBGz/jpnZr2XysOrb5Rw3BhRCthRC/CSG2CiF0IcQ44/f/1G/Vsv/pzvQiKeUZUkozvTYR+FVK2Qnl5OpNEwbZExgvwbqDB8m4+25+b9rUF5OdTenKlc2B3MP33fdWwOcroa7CjOkw66ic2O12nYa7gswDSHM4SoHk4mS/uyzJH/f46Gz+26erdZ7W3dwJmzvjehtrB9kGIK59Ufv3onyWnrctOHu/tE2/AJurEPUwTERF+Pkop3btqpkdi7ePbxfYkbA5LSdp/Xy3pv3h1rRaYg5mSyJUjWXAVQOvWmX8+5xGnlewLQCoourSsibyhzVXFfHcR3svBz5AReevuDXtpFvTRkU4vlaXn1ATiFtQiMlqkQsDLHMDNtdCbK7cFj+djPfHWhL8VvqjXm6PFet9Xcp6JlRaKjKBRT5LZROEnO/WtINuTRsUZtz/UV9S04qsRfvjA/HxVr/VR5AoukPXK8LQMd53a9pRt6aFywjUymIYi+tijFqqIfANNld7bK5p2Fw52Fw+1GI0HEWo3xWd73MDbHquwxK8zn54nS/hdeYBsTExsmq4njPq7jXbSheMO06X9Qki9WTU3HD8xkhqUShnWofuERysUTcQDZ3rUOBNLX4jSof3yBtXdFoaVSEeR73nAzGyN7G5lfdgc73Ax7cl88zkVBTeoF5VMrzO40H9SWOACRKZQyR0qzqvajqG8ZnhqEzDDLemRQvEpY/1Ia5nvqLBhBujAQsWXliBAua8LJHLIx3gyB2T5Mgd4xucdkZgAP1I9qdG707YeubitC+6bbRt8o994TPOWTzN+9WQDVa8zs54nWPxOnMAxg9+40uAmb+MiVSbr/vuBaGug3aJ6UJQS4Tk1XcPfvreo17intsVEIh1qE3BcrembXJrmkmHexDwHT7ZKklKqlCo91RgtkQGa1ybteR8AJnpihvf9+Ojb1nXxe7u+ywTbn4eVg9ojwo+9wPv8+gLu3jiBdlz49Qd7v+so+jrcuTC6vH+Jw3Bq4AJUspuqOzG/UKI7vxzv1XL/rfTvNdSw7X7kEbKeJmNwoH9P//8swTof+ed6zOdzv0ZDz4YQCHWbj3+9NMJJWvWpCx+++3qyCFcS68Q20f9XUFWYzgjh65X3LNme7/xi3eh9yvZHFNpSQbmuDXt6OH77huMeiAaViqyuUSzJXl7Wy46wSd33nz3qQ6v8rHzP9koZKhA7VTHYnSRx+u8Hq/zW0tMzMYom80S06nTNaiU5tkoOs9St6a1DFpAooGxEmkCjQ4BrU5H9AHAbreXAKe8sd5eGALU+c2qfnbo+iiUw/gCBSSYYziO0N3vIiKgkA2n/xEQmPnwTfdK2/RZ2Fx7UA/0l6j0W0pMXqU3EGfh75c7jsfrbILXeSFe5yy8zjKHruc5dH0IQWAXifzh/odbum0HowPAAEM8I2JA1VgTCOt77d5rGxuI5YFdD8yWyKOhnwlDx2gGfOnWtD1uTQtegGuJSRjnnpiRlzBd2qafic210gCT7UaheruhFuHPUVzTaLzOzqkrRw0n/LNt7jA8FYky8dvRedMsAdGWMPzGoGP+oK5EYR1KS2iwFkY9KHSuzcWyljqNQ9e/NNKZowNCFjU9FHPR64M7ileu6bSi3DbtzgE3b77HUuYn46+ikcATbOxjoUlhgHCcx/C0nfdRgD1VhnELc5dZrxh6dXlHlU6qgPsCQhad/32TH6P8MH8leUHiJKdjKQAXXcwwVCp/Yx3MQY3m87fBms+W1QMtbSzN5ZUnhy5rVtHaczL2hF8XK2NtSw8y9GnrW3e4PqlTp7+g64oigB1HujQTglpynUHvXug9DL3fd6He3ylBx04BzrxxPz7HKb/Poetno9ahHFTwv8GtaavndddaA/+1iABPtkuOoQb1XrsrUnGCjT3tYNrDDmyuAok89PqBgpZ3fdqPgrymkmu/hmGffkOwWErLY2JJUwK0pgdFeBn5v9MQXEp5VEq53vh3Eaos0ZJ/6LdC7R8DkIQQe1HORQLvSinfE0KcklKmBn0mX0p5WltmwyH4UHWO1cDNAZ/vgqPjxl1oSUl5OlBQECUSEqpkaelrwOMOXZcej2cnKnqyGlF48HgfoCLdIXa7PWxXEI/Hsx9oddHAi+ZIixwNeCTyQiM99TGGAH3K8OHlieefHyeEaGUIF9SYzdUThaa7HGiLqrNxvHUFlpLKvbaTyZ8Bs/A6I2rQejyep1A6pA/Z7fY33Jp2NQpt1xKQay4vOPLO1CMtfXFysUQOCjruU1Sae6Ddbl8RdvAINnP9zP1di7q2uf6867f9f9S9d5wTVfv+/z7JZrO9sVl67wQQpSioBEFAxU5Rg72g4KKiICqKXcGGSATFikAUQUEQpYlEkaKAtFl6L1uysGwvKef7x5nsZsM2fJ7n8/N3vV6+1mUzZyZnZs59n7tcV2547nkEFvoczNG/l0A90A/aNW2Nfu4MINFms5Xne862ntrw6Zd+2NM1rVH8/c7e3pgic4C2UqJ25WuB2bhTN+m7ty3ADzabrcaH+PPuHTtsuyp/R49fYsPDPAKDFDtQFIWay+UqA87YbLaGF/L9AxCIFUmlSYO/3/Q9wFKbzVYr8YLTam2FimwEFrM04O7GM2fuBkqQcufCA5MPmD2moXct6OnrltYk2KHLQxGTfwPMCeb5DUaVz7ZTFH/SGs+oS4kFdklk16Br6oR6ZgNi3tuBOxvPnNkNlSqZbrPZntDH8QNp2GVnfQ4EyvlshsqTzqrmmirm2ilGoQjTJ2GvooXE4hD9F36wt8+a5Ha9FhsoIIdYbzxdC3uSM3GgLLOEy15j94/jnSemYfIdwC47nDdGCATiZlTaJQeoL5GeoEKXJdhlTZql5dCrxt85l+x5PCHbJGhWTO9uZ860fDM3udaDzxtMLAKG1rsVeTaCYqCBROZjcfRArQv9UfMa2MCUoRbzpUyZ8ByRJYewy/YCIUwlIt32fUL9u6Y2kGFeIVCO1uN2TXMGnW8GkNp+/B72p3fQpKSqe5gqkR8GHeMHdmGX5WQrQvAjKoz+IFLsQe2qiwu+oSjaTyR2GVN+uNXaHxXebQng9Rt/jX6i4KrhDx1BCsoQNJGWGdmo1Nj9wBUYfA3wG1GvviicO+wvw+f2jZF/Lnz4wEUrerfd8NLlEPLsHFssMnpdQ/2sSDxA86oc2/8UQogWKOezM3D8P7Vb8J9x814upTytC6quFkJUywp0IdAl1AL0gQuB2wwm00i7pj3yy7Jl33kOHtTOLVpklEVFE4FUp9X6akOHY73BYGiDyqeuCBnSiTKmt1GdxBZsAkbUL60/KiMy4xy68bRrWiYwSF8055Vs29Y75vLLyZk7d9vaB94Y2T/3ht4or8aKCouCempOTBm7OqZxz8FJMfGtSm/pc0urOn79r1DGdAgwza5py4BlTqv1roI434eXrYpvbP0zmqg841mn3xoZJEm1UP9+dtTLUCcIxGWXNru06VRtKl/99ZWzKqI8fQ6u0YtJ5qNyYaudVute4J7GM2duBa47M/CL5+ttL7wK6B4vIuM/fdKOx+jD5DPm6vM7F1gUKopts9m2ulwuL8r7rREPbN07CQhvucu86bXbW8ejil12O63WPxpOm3bKYDY3d7lcItShqsM8PAoMPms+e1wiGwpEnaqC7Zp2GOith77mAl2QbCl78JXs+GfH+UVYWFfHcyO6AviF9AG7UYUfH+NOrb6qtDLK5epQqjwcjCZs3CVEoHo7K7Xt2DUtDejutFp7oZygbsDuU489tqHR9OkIIYJbPQSVc4xz0cn3qzOkOo4CbVwul9FWFem+xWFFtZYMLo4oa7V2+GMCwI/fc8S8L3dHzObEP+LXGOMyY2VMl6sNv85ts/iqs77p1KFXVSAsqPSEH7BJynldL1hZxK5pPoHwGbyI4R+kZN/2bXzyxqVN6m1caj0LTLBr2md1HavYQGKkHyiOEK5hD3/fd3Ob38HRERVFQL/e46gwYjnnMwDOsc9TcR+WeCJk/TX2nO/ue73hw6h7eB2qp3cq8Ihd05aj74SNBt8RwCoEPaRkC2oNaQasqmRIFULvN6i1MZPwkimoNUwAN0T7WUwIq5Vd09YCrfTUxodhBt9V2XNN3OprSK/Fo088vT3xD1TRZsBp9NLg9FkGr0pC+B4SU3ddjHou1tP3qWEJFy1P189X/uwIhPHSK0k5p2Zt5P/IkMagomNPSCnzhLiggF61+MdhXinlaf1nFspL7AVkCiEaAug/a+KarAmb9GsLMLz0BRhwww1pkZdcUlb/lVeyqMjrTcmYOHFY6eHDUHXO7Beqqa4M4ETEiRUA3c51k0D/oBcUUIumPWu0rfuhzlObLsrkis0dUmy5160GXpHI7qgH9GdUHsYk3GO/fnby0qSjTc8UJXmSzC6Xq04MPzab7RgqDNMt+N9HamlrHt64L+KNT475IwoNBUa/sBOU76FCaacqdpUqIRCRwKpd8buERJLgTaiRytCuaUftmnY50BXJDiQdhBSbjVMXDgaQJuOrQP+CqNKId8esZdinnxXu7pCehDs1GXfq9bhTF4Qa0iAcpxZuYp23807gzJEupVeEFLtcnrtoUQtAlJ04UVUhWk3z0A5VsesB+gjEcWqpUK4Ei6OxPWv0UHvWaP/12bd7Wpa0J9uUmezes95Q2NTMo1MXMfH5H8YYssaacad2w506+QIMKeh5bfQCO4GIvOMKwnzqzb1eIqsk/7Zr2p92TeuImqPjeL19yvbvx5eba3VarRacItDiVaCPexvq+c2GCqmvahDopb0GSKAgCj58tB8Wxxa953E3MMZn8Lf6uf8e8eTL3/t2djx1jcH9WHjrkx9aSozFkcCs0n37EEKQM3/egcxjUeXXUgsCedKJ5a0UChdMhh7gBfaHUbDgyaxmN4w+SNvuZ3NQub9AaqPmKnmLIxKL45Ejq2+x+ac/gbv9W/Td3OZOlKOXhxKPGIYKY7YM5nwGwCkEeq5XIO5HpT9OA8OrSnMAPzqt1gOZRyObA1gbaQE5s8+C3xFC+5yrCYNLiRtYwauTk1Gpnvclci3V5NMB7FmjXfas0TO8F7UraVDQgFs/TKTdiR9bH4jQ2vrwZRBMljLxraV0286DD+2KRhnSXOBqKcns2frPowCvLX4uWFt5+eZkxIu7KJPIhTXO/T+AEMKEMqTzpZSBdMx/xW79I2MqhIgWQsQG/h8VAgx43QHptHuoIK+/UAQ4V29DJdCDd3ZHDGFhKY1nzhyFnteThYVR2e+8g3v69DtD83r6LiUD9UBWiXt63jOxwFjAHSfucFeiDQuprmxxMnliq2+yiAiP53DE3pK18cv4NvkTnCmzdjlTZj2MO9Up3GN7o6o2C3uc6xHw7i+EJvAgUM/lcpmhPGyzETBpfQofN3kMcah8jwf1cOafGjPmJSmlm4rq4brgVyC2yFT0gUAUU7tYeAcsjun2rNEL7e7RnW86cyctS9pz/OR6o/R42GnL88zp9/PNscfGGya+9IP/u5u297p43ZS6ElPXyE0sEA1R7R2VRAaCi108x4/nABSuX+90Wq0L60JRKBBGKrRf75bIU1QYiqq1ZfXFE4tjLRZHLipf/QJwUZw/Mbd3fv9lHQu7vXnEp/mEwUDfVfW4aPbp62pox6gNK6mcl163pR48v4tMfdGrEfocNQdGeDIyygyxsQYREZG54K0O35eVGEAt4g2pEHG4sjaVFWO+dyFAs4WZsxn/7jgmTYH9HW5DFfoVASuyEwrvDz/9RMHQOZ8ybcyv13T97c2VQdfksWvamKjLLmsl/X7Cm7cw/zKvBcs+an2p02qtiY1sNuoZd0nkOyF/rlToUhtCRByulU68YSZJz2sydqLasFZTkRM/ooc4AwV012JxfBvM+dxxWT+j9IZhkGIDqnUkDneqBXfqjbhTv6tBTCMG4KwJP6rYyktQ8Zs+XyfsmtYPlVvfCrRZ62zRd8vKBtwZNuk4sI+YvK54ws57R4IQaEM632E50TiNp9+GhcO8EjlO/9eK/GoFWcrPAbIU4PXbXH0jLM0uwprQxXeorCl/xf3GgpTZKc6UWdnOlFmBCFlcsRG+bMVUKlOoMubqWX8ALPxz+O36PRkNDB5yCjkxrWZ5wX8CobagnwF7pJTvBf3pv2K3/unOtD6wXgixA1XYsFxKuQKltDBQCHEAtRhN+YfjL9F/2lB9lmaXyxXoIyxnmLEr0eXhQKOYa64p9Rw/bgQWOa3Wo7oEUQCB6sqLCYFAfOg3+Nu7zW5P68xG8Vgc71ZTXbkf+GDjrPZ7tr7XjtPzbk/KMJ+83mfwndSv89icbh1/NheKQNXmtVG+qE/109SV+BxUGwNUtLrMQTkCayTSoVMUvoJq13gfdQ+fK1i9Okmfp1pDygIxGVX9myaRj1MVz67FkYjFMRGLYzMWRxEqv/MYqgArM9of+/Vl+VcNEF7vdd6sLOmrH2PyHTm85PpP65lSjple0Ksr64pquYkD+qQoT/mpqsa1a9p3Kc8+W096vTKiUyeJ2gnkOK3Wz2qhKFyK2tEskMiAZFZgJ3i7Pg9VLp6ois8wlCNQafG8+Nj8sqff/sXolz6i23T0oGgcs4OZpuqKIGewmUC8BPR65ABMSuOC0ip2TVsYY7NNEgYD5k6dSn0ew/Xfvdeetd807WgoKy9qq17EweKwBRzLPvftWW7K9VJqCW+E32Ck2TGonz4dSA70PFoOPDPKb5SxwAcSuaaqIa996qljwmAojOvft+DiAZkUnjOZgHlOq/Wk02qttDsWiBtQRYrlaZgQBJyVujpwARGHALNPOYORXdMy7Zo2CGW4NyJpgeSXdW2uLS0w5AU4n4cDyWcSC47e/vEXLPjqWSmeeseHO/Vy3KnTcKfWNdxcH+CjtvREOXUPS+TRqj5oD9IsTWleWHxgayKFueFbPmjbzxs17SEw+kzAuGrevSp37gLRgyann+R0Qz93zQ0TQi+acycb+fH6RCyOE6gd6leoSERkRnLe7mu/ninr7XvG0+reGXR8+LuN44986515ckqZlPhRFdMFTqv1Jb+f2CcuAZ8BM/CCRG4t/+LxbhNAxrmGSeL6pU+hyCw8X23Aa7wwrue64nJUUWB/vaVzuxDiOv5Ldusf5UyllIepQjFESnmGC1c+OQ82m83jcrkCO61ZqJ3v3cBkVA70AVTp/jJQeT2Xy7Uy9uqrb8x89dXt/tzcblTO6y1GGbQ7UcYZgA77U26+Or3dmFuXdfMNX11miErfa0ItjKB6BX9HeTKrA55lmcv1DspDvM2uaV8CTXVv+n2Tx3DNu0PacLBL8Z6ea+O22TRboV6sUSexcB1zUewitwpEKermnxe2sWuaD6Xp+Awwq2TPnntiBw3i7Jdf7naOGTO2unyPng98CfWwBnY7vwJdG/3ofpdhjhYoQ5sUdFguyqB9DcwPLpa5g1RcLtdGv/T32X+phzum1eeOafVfdWLtitJSrQtxeWCHUBU38eeogodfdPKMKqHn2tMjuna1oErbX0QVQdzptFodwNP6nAXmYRRqTk9S2YivwC9l1ImSW7A4riA0B6Scip+AmaE8v/q4PYDJxcbiEoTwxw4cWJa3ePGLwKuonPYIp9X6CUFsW3XAFuCGeiX1JueEnymZtpUILiA3GIS5wNtJDzywpSxr/d6czIgHMw7Ftp56a2s2Dc49futHKbN0/VfVtqMiH9cBbalYK3wGOBh+xtMo6/J4c4e241aiwsJvYle9hbpayGXAHt1Zqwl7pSG8e/vL8mjSPu+bZTPbNkQ5pz86rdZDwL0jtbQ9qLqAKtMwOuokmK5f31TU+hVMclEhQG1x1AMesjP6VqBLsaED6V/DAAAgAElEQVQILWorByLTwpfV+5pkT/2zzUvaPtH+xEeL0JVe3vset6GiPeZCkAxwMJYI4AeJ/Ly2A+yatgWnOJibbeq8/OO2x5JMWdb3P81g+arhpK+4d1c1EtrnGdNgDt2rv718bJI87hgee/BzLIc/gxcNqLxsDKrqfBUwU7jH7tW/s2iTx8MNSvicMG8eGL7+I++Gu/7Mu/rFLzv1SEGxlr0456tW8vd2GUDRJol8PeSaYgEKyiIlk958C7UxuDPJw3wujOu5TpBSBjZiVeE/tlv/FgakqvA3ihXlD/33QfrP6hhmFhuiomj45pu/oKjGdqD0QjefSk19wpuXB37/gEBpurfB9Oy/+z+7ePWwsTwy5wpjWInfc2xECgfuafAjEIE7tRHu1Ntwp64KCdEEBJHLKwbtmjZ/pJb28atzjlIc7ff3XBvXEcVz+ZH0+49SC/F5MGw225+AzyM8vVGOQ2ihRSXoPZD3R3Tq1Ez6/ZiaNo2kmnxPKAG1tMzoiMXxZc+x+24DiHR7RqNaM6KphnmpqqrTDUkbjhmEgfUvNSgqNfsfR4WSbtPn4GM9r1vTd5aoF7QSN7FetXkvaoG89vwjz8MWIYSp8cyZq1Av6hTUAvwkioTiBafVKgSiDYpJyQv0kZYZSVgcz2Bx/Gkbtquo3pY8IcMNCajCn8o5IHdqp6oI86uY35sMGPYBCY1nzvwMtdAGwvOhbFs1Is+Y9yNA19yu4vajjItQDLZVL5k1wGazZQJFQogug+45+kuH1/Yy/b0ThJUJbv0opZnJH168t9lDx/yWDwqopW2nsFXkL9JkCMsPa1VfHz5bn4NytRBq1n4NYA1CkB/elthEz2k9nNke5UC0Bn4fl9r0VEJWmBl4rgb1loAhq9GYCsSVVJBnKOfN4jDx1V13sHogvPjKUP27vIkqiiuJ9Eet6lFw5b1h0tRPCv9Bd3h60pa4375KHd84MzLfEAt80KgEQd0F0svxfBeVC4/yUkjQmlIHRMUne/wjtbRxzy06zNF2HjlC282oRi+udVqti6pIc1RuYbI4Yu+fd9neV98YEpfR8Q3P6tdtjgVxqxhsOhGW7TcXccsieMSxG3W/g8lSfkL1W8898CMBTdZ81DPt8xA5YWSaNhaIP9625Jcij1E8f18L5nbu2M5ptd5DZUQDFH/06Bl6bzKwuecGPUJ0HvnG/x/wbzamAbmrm1E3qxNUzzBDRXhugF3Tdtk1rRtwuckffhyfv1v2sy8Q98ici8pE6bfADRkp+Ukf37Oe2Xf+sVYgGm2a3bHRseH1OX2DJbm6NgX9/DsI6f0TiD7Ac3t7FBVN/ehYAmoH7QEePvftt60BIb3e2oo6yiGRJ0qMJY3wEw6Ml0ittmOuf+21U8JgyI/p168A5UWel+9pcjJh/c3Lu8b9NWDCWWmZsRTlqNwTlV6WYjrn4fSgeoVAt+qYl6qCQFimtJ8y1I+f8QfG77xv254PUAvb8/ocjEIZjqm1GI6tgMnlcnUKjEtF1Wbf6pyJEARYqu7Ww+HPooxqgMz7FYk813NV7LYe25oat/ebmCYtM3YQsngai/zu4oZmNsxu3x13apMLIMz/FSUz9aFEriKInaua8Pwz+txMqGluhvcefn+JoYQRp0a4528i0Ftc50KbEOwD4rdHJ7WbnNSUq9Mu48G0h3MuzbuKcGk2bYvd0Gxl4nfRByP27EdR3kXgTm2IO3UE7tQVQY7lYoCzEb0VL7Nd+s5z1pB1Cbl+BZAX3gV0vUq7pu0P9Dce6Vic0+33GPP0gW2Zb+10k15ZXxVq03gNkGf8DPDGqzdM1HufVRhza6+J/HgjlJqNqGfxeSAFd2oi7tTBuFPnDN+zzRVQX3I3Ksvr/XN8rOOqdsy3dmrtKREXIpAeuJ7m6+ozFuCx/cwO0YitDRFegRdYcLxjqf+Nrw53eff4B+4jJR1BpYhynFbr5+VpDq+ox+mGMP3xW7A4srwGf95n40a2eHb6IOpnx5YArjRvwqR6Zx+QrYpHFNPPBR33HQ/eSAhEKmpTcwyVWwzs5nOlpBD1vsYAT4/U0sKfXXK4zwtLD9J0UKY0SJEIfOm0Wk85rdaAsEjM78kg756XzPc3Q++NLfSCLKiGfOPfjH+zMQ2IhQ9ChdZiXS5XIC8SyIGWGzSbzVYM5BgLve2wOF7B4thuzxr96/DsB5oNOXs7DT3N2BP2F99b5vDa4A9Pt948WYx7/fuNo6Z9PQB3arrNZsshyGjXgvKKT70qdiVqAbne3dSTb9e0V1GL5nul+/f7AfKWLv3OabVOrMtOZE3KGn+sN5bOeZ3/lshpdZothTRhNMY0njnzdqClkGITUrRA8suvHa/3p/Wc0GPxvQ/RY2ezJIKYl4AwT4LpcHFjc6RrUZedF3A+gI154XnhxcZib6InsS0omka7pr2uz8G7qLl5GpVHeaaaOQgk/QOMU8FVm7U6EzoCDlV5+0eg2GVI9m1DWhS3PRImzHFPjGsa+9aITjTdZ+6KogistHhm9Ut8BsCTFF5ndQqBmAT0RhF8B5Q3ziOT0BWExqHm5gt0pingjNNqfaiqcUuNpZemR6T7O+Z3jOYfVK2Ww+Lo3nhZthEg+cNXX/7hpqd5/Y0biSmNiG5d0mHHNWeGTgn3mZfkmLL9f8ata+dMmfW6M2VWdRJ7CwDywzskUKH2ElALmSmRoS1qVcJms6UZ/MW+XGVMK+0qR2pplucXHUmc9O3hAoOPo6jQ8SGn1bo6QFEYhCp1NYO+e4vxMwYcmjlhRHRei7f9z34waAYqhdIIOEyn3S5efQ6mTHwed2oP3Kmv406t0jCP1NIyn1h9MPblr454TKXiDDBk6ay28Tt/S45wVtadrRaBWgCzT6UQ2uVztC7HBcG8O55wgt6RbQUD7K8fm8Onp146gYoM3GfyhxftafbgOf/Ed95j6nNwuE3nsjBfwqd3bsA+60uv85YtXQJkKZ1y7nzDQ9i6CFNpA/0c5akEgehARdV7b93wh4p2P4IiingOyR9A5NuazLuy5xkPikxkLWq+f3BarYd255gb3HEFIPDy2AebkMZG3Z75O7B7rUtl978K/1pjGmTcrKjKOqigrQuUNN8ZXF3Z/cn9cX3u3xOFXl2JWnCWxvsSh8pZ456xPPMMnsZxJa3+NjT64Oq2zLmow8mQh38PEOdyueKpGcEVn+vQ2YMkMqDxGVg0nzKYzbH+sjJMzZuHocKOZ51W66iqBgUQiBu/bvp1K4D3d7x/IUTb4JOrANp8cupXe9bozXe4H7nsljN30664M+mGo2JpspMlKc6TPycsuiSYeUn3PuvCsxt6rZ+iV1dG+6L3EVSFHDQH41EL3WeosP2bKK85dA4CBUADg8etomqzWgQcKqAdFkcLLI6pWBy7sTjK4v1JK/vkX92yNzcRUb+5zAw/xYqkReiVhy+GLJ7lUY46zkN3VE40mOC7RnauQHgeVTjzHcoIzXZarRmBivSgcUsaFTfaDETlh7VuoQ9xLnTM82BxNAw4llgcpcCWZkvcXQG2XlfIkoeWw03fP4071Yw7tZvZPeHZYXu33YLacSxHhfPm6TSOlSIrgbkuNLUyA35dLeQKlDPxaF3mLYAIX2ZubngXvJjLd7ICkYh6z+XJ9qX97tyd1hK148pAaZSmO63W75xWa+BdDYQ1M/XvHo3F8RgWx+9YHAUSeeTtV26uf5/zMmILI9yoOb8e1bLShoc/Xk1cPtQeJi7ffe/vXnzjXbvSkoGx0fFl7P49JQI9vVNbagP1vDfuk01A+OGChK/3xxJ/xowg6B2RyQ7tIfPuc7d4U5oOyxxt6nvuGqL80Ya/YzfGL09aIE4N/JJzw76daE5/omj0uwv4etjWG+766KvdIUPfFxNRbkPz9O9sRNWPGIC7gno/A5ubXAApyQcWMfzbOARW4K8HDlMKeO2adsquaQNQ+fc/JbLV9o9bNR78dgP6LI17iVNN7wDIKY4PFP/8k5qA/0/xrzWmADk5OVlSytiHHnroOYCMjIxRWByi931puY1+yqbri4cfJai60pTv8524ycKRYZZlqOrKFNypN+FO/R6j4StTs6Zsntkt/LXPj0pzsaEwzGsYTuW8XqjRrg4LAH6r99sUVH+tJpFPVfXB4T/9VGoIDz8VecklXlTLTxzwsb5oDg/+rB7aXHgk6ojfj58wwmrX0bQ4LsLi+AiL41DvB/dMAvBFGS9CPei7MYW9c+2fy/MeX7Gf3ISy00XkNskJd29zWq3rnFZrMFdrjTy7odCrKx+gorpynf6n8/I+uuF4UL+mhaiF72On1ZrptFpvA9Al8nKLDcWd9HFzqK49pep5iMbieCx5wzkDfhnliTAcQe2GrcDZzHr5K7que8PXYufL3qFrf27pF/4mhPTuBci8AzSLqNxdbfMQGtoMXRSPUUMPrV6RPgzlsa9EGbJF8zp3OtZsr9mlj3urWZqXAmRGXxNwds5f9C0OMxbHqKC2ndNUOJZ5wLKZI1ZPPRlxkmM2Ezd0WQH9f91UxTVV298YTHgO7CwxNhSHoqJ8nK8WUmfElO3N9BrjORI3Kjhn/gdq115eAWrXtO/tmtaQiufjVtSO/gtfGTGcagiPz5iPxZGF2tlMB64oNpeJN55YxeAFjrIJLy5OwZ3aAHfqMNypy4PCmAHDUJtRW4t6h8t333ZNcwy696i/57Wns9HTO6jw/ZSqojBB3MdZk3cRaBmqszEViBsKjZjKpEEWNHv3GyyONVgc54DTs2PXJTwYkcZ+X5KhSVnL5QPP3mxHilkl5lzp2lHMl0dPv9lhS5TSGq0ieiAlxzo12pMGsHrXgEAYdxlqF/q1RC4I+vj5RV+7O83lswdgZxdQhWSVwt92TTto17RLn19wxPXLsBz6L0rk0WebvDa/k3VB0/B9W4xC1geY/QsjdDGVf6V2aVX41xpTIYT9p59+aiaEYEDHy0S9dWe48uuSrn4pveH5vh/afp5ORLYnDNCAd4CWmz7p2OqovQHHb28QF1qabrPZ0jPMGbJ1YWvDnkuLXgkvNcRSOa9XkPnKKyk6vWJtrSwr/PhlibHkYlTVWW0LyF9CiLDGM2dOReUyA4vmt06r9ZjTag0UV20AwqVBPmPAENpfq2BxWLA4JmNxbMPiKEHRxT0MtAzP950My/f6j91qycGdGo47tUvUyad6ZVsK47KbemaP+X1/YyoqWG3AMafV+qNTqfIEBKurqqitBIGohzKKfqCfns8MqPpUq16jG44R+hysQIUsvwnMQYmhZG+4PzwiwhvhB66qMU9aQZi/JHjxbLgmJx6DILNfwmFUNWqUcI9t2GDvc912WdON0sBDEnlM95T7UVHs0gZF5r3DabV2AXYBUS6XKzScGIrVqF3lxxL5cxV/D0QxQtWOQucm065p16Du+Qa/kWavjWgV/drQlufmWzudQS98KzC1DQg9nNHn4Jqgtp0SFLVflW07wj32gXFvfP9EWlwaXfK6IpQZqTbHWFV/Y8gc/Yww8GK3zmbOVwupM1KK1p0GOBN52WUAAjFDP2dVFaDYNe1zu6bVq1eW8l6EL9IP3Lt8yqW9j00fgUTehLofu4A3fu91sG3Uyaf8z0/6kVX99107Y9Rv1X3fQAFTTTnX51CFj+ftvg0GDG0vOXcSPb2Dmo+JKKNant4J4T6+3FQRnq72vOWwOMR22zNDJ8wYsKTttAe55p63RHRx+CxUBMWEIruZYDnzwPEu5+xhIjv1yXD3+K/tabvH3Dx2/9KY204TVmIwvHBPC+ZbOw2vrqf35WGT5wHMXX93P4F4BFV4dgLVJhiMSg6IQMRi3fMtJg/csAyEfFi/rkq5ZIG4/2jnEtvxURn+ax84WITSW+31ZutbezyUOJH0QiM5BQiUM/evFQMPxb/WmAJvbP75VxPAnU070Wrmfiw7isiQuRKYt2Vq6+1/ftge16Iu1+JOnYA79ajOl1slAYFAvPNH8h+iS24X1rnWTa0ir4c3I+Mh95QpFO/ceXlNuc1+tn7h2xO2Y82zAtxYHQtNEAIkFHfaNc0dtGj+gU7f9vqwVjlJ6WFtgN8k8m1gGxC+ceHqTlgc92NxrNa9zyxUteTFqCT9T+jMS7hTm3tjw/b5I42JLpfLKBATUOxRByXyYQC7pv1s17SmVGa7yTo1Zsxc6fdnEVJRWw02oEK2z0nkDgCbzbaJOqrX6HNwrX6u9YE52L3u4x5GjDxw9IGfA+NWgsVxMRbHxyGE+TehFsJdwBv5rSO7Axx6sPGJAGE+KlzYANV68GXItZQXu6C4dbsCO89++WWA5OM8ge8ABGIiis7vgEQ+Us3HKjEY1Qa7ph0dqaUtfWzNfrbZ8ktb7o1MADafGjNmqd/jKSn1Nkph0TAY/24gf/Uzes8jKk3xLtAad2p0FT2PfwDmGG/MXwaM5JgvhUBYtOZrKu9v1M/RFdh5evz4YRI/JlVmEKoWUmcklm0uMvnOUmZI7iIQg1CtYXkE5b6BQNj6JSyOv7E4SgafG/rkLWfuMV1xbpAUJh9/xK9mgWV2qTNl1pvOlFkX4U6d1Hf5dCeVmX2qQ41GTdfqfI2qdt8VRTMFgfSOPl45Sxtwdm6XTg9RIVSRqmv71pbr7YDFMR2LYy/g6ZbWZNFbr9xsiDrWFNHqYBmqmK29fr974059p5DwMfrRXwSG0VJk/QefPsdTyw+WlkT6VlARwj+pc4CXo3vLv/0Ah0ymePwEtI4DedJgBCvlQKB3tyjyHY4396Oq100E9YwKRAt0copv1lOclOIptmta68YlzR8P98bI5mFprH+/K9JQzi4ahYp6/OvxbzamzY6ePozcpJGVt4cfUpz8fMMeHrauMuBOvauwdVSA9Dl0sdtPCAFBgDbscPThMpM0QdDCFprX8+Xlcfajj2JQeb3qFshfNydtFo1LGrPOta7WxYgKY1qej9Tp+a4AOp+p7znS5KA5Ydo1bZnbuWPcgaaP3Nv6s1P1ANp8eVpD5RuvRoVMNqOqQJP0BvkhuFOdQVR9vwH8Xu/3x1AvcSlVUCnaNc1p17QU1MJVANyR/9NPKUD4L4sXh8rclUMgPkIRN6yXyKkhfz4JNK4rFZ9d047ZNe1KoPOBrkXZKT8dNUq/n+u+b9bXabV2Cl08UQ7GKJSQwEnUYtFb34V3xZ06qfns27ahQv9d9eu9B1UAlEENrQd2Tdti1zQrupZpyc6dzaTfT8H69c9WUeyCQFyEyv/WFtoMMBjVHrIPGjfX4it9f8bJxollyYNjvHHZSC4pXr8hosSYGF6ysTd4TI25sLadj1H5qt/6nO3zPIA78iqoS+5Vhz5HnVBzdNRfVNij9OQJrt/Wk/nWTi/UdZxQGJDR8WW78BtMjVGFaBIYKC0z/FgcDwSHMVELdDfUM7tcIG5vVtbaNOTpLSd7XXfa5xd+g/6Z3NveT/kZ5QBoQcw+1SFA6H6eMdVD+b9S/e47YBDLi2b01Eaw+lKc0S9mPzWmadMeq2P/lsiPQs6rjGkFWcqmULKU/a0yS0a/tYArf5i22zD5RRj90S7cqeNwpwYqvAGQkuWoIsk+QtBGIEy3X0GPwjAoi5LD79+y91pUQdCvKBGNpU6r9aDTag08o4kABbMfBYEBuFdnBwtFIF+dFdS7u00m5UxAFx8v8ZjD0HtGg9jcjB32pYyz/HmRma/ujsPiKLblXTd9eM5dok/pdfjjoyg8UUlr4F8pBh6K/4To/n+N43l+f/OrnnmU9pGRPNaxI3LtWu4ICxNOq3VtzODBT8bfdBMoVo5gz+VX1E0dBswNpg1LKk0ahQqx3KL/LIdd00qBB9f+/LOh+M8/78v9/vs4vN5ZTqv1ZeAxu6YtgIqqzdMRp9NRtGN3AzWKaNtstlKXy3UWtZhVwkgtLSMlK6bRjUvayRHv1fO6Dae7/R2z8Yt2G0sRd9+Nu09CieXP/NkoxZm6sN7MBx7eF7NvCspZGiGRNYXyPnRarTOB58oOHZoMhOctWbLd+fzz5ao8gc8KxLWokHIuyriHYhMqNHMFykutE0Zqac2A5CYH0gvm7MiJMcbFxRqlUdsRvZmORd0Il2ZQoaQ1VEOYH4L9QLeuOV3bkcin6CG1urQeBJN5e9PTvwurVy8JVeyyGLjfrmm5uhByYHGtcX51MokM6rAgCITJ4BO/XrKjqfjq0bu0jgcb7EfPS+Uaz7Jt31nJVSbx48Vr8J44ttbv5za7ptUaVhWIISgnJHDfvEg/ueFdwH7hslF2TVsrEDc2TzPvePW3vaKJpR/pBkOlObrAIWPiSjWyI21hPfa3C3vpxat2D1nTeQnq/QqgCPV8fQd8gju10jkMzrHmNhefK/3zp0bJwGyfQdpv+sRyTfutUVhOhs/gV2pDwKhVVYAUCOXPrmb3HXC2ziuasWtaPjC8hRbxYLf1MZ/c+Gkyl7hiL3ZiPQo8aH9GxHCqMbw78Xsed1xGNWQp9Xc/l51VP/8HILdHNj04Sgk1t4+MRTkmXwC+ffGEfbIJHrxMBohuTgH9nUoveR7K6fjNabXuGnhXxF5LsxIK6ufAwmFw28Jcqn5KYgEuG0QbdApVKoTv7wdu9PrCDJhKi7E4TPdMv3RDw6y4Bg/O7eNpfTx5BgAGH0CBH79r4McfXr3uxgNG/wSp9tsV+Edi4P/X+Dcb0+eAT4CofcXFPLptGyvnzydv8WJ/WVraVQUrV24zREb6om22riHHzUMJ196KWngDtGGvz20xd47rmOtTqtc+xRgVNSemX7/7Ii+5ZHHGM89EoXJd3zit1rdcN+VM5Q1VXZlQltATtTuqK3PGDuAql8vV1DZsVx6KGm3oweYvXtryeJIwSAOAyR2WefbP2HURaeF/RiWf6Et6p4Sw7SmzXqnLoqljfaGxkObFzcOBzyVyaW0H6Abz9VVz5jik338uvHVrY/GWLROBsU6r9RXgrZFaWgJ6dSVB/Joh+Ba16x9JXYypxSF2t0u/ZcLtAxZeubENQ9Z0ijn0AGTY2mL2NpFa9DaRFrUdIcVqv8E30q5pteeVFNYC3czSvAn1jD8okeft1mqCXdO+d7lcO8MaNOiKwXAOv/9W4Can1To3bCutvBFKILwu84vOYORyuS7S+5QrQzEtjfrrogkjWpxIMiefjQEloVaCylUujvclzTY8YmsGbIns0JLcY8cGAFlOq3UhNTBN6fnt71D3TeWhbbBh7RJvaVj9f/T+686E61inUtH+xGZZbB4sTC1aFHkOHy6fI5S6SbX92kHfvQPXX926IKYhDIOfxk/CsjGvM8oB2ocKY88K3X1VgXCgzK5pxQIxylwkbrr6m8TY26bVl0a/+MhptU7Wr2lZNccrYxriXOipkisJSpVUgQr2pCogEA2xMvOYtdTvM8pB973T6r1SQ3FXCas3vXIjXfIuI1rVMpSiyFKWoJSFMvXjE1G7cgkM+GtVueGvtn1ESpYKwUmuXn0FEq7OwPPgYQyVlU9VmgPo5bRau6OoS7uscrboYu11lrDLc3K4bUEi4KBqxa3oMgNsrlfexnitRBbq58/pbzq2MWpLt8sLN9g6hxt9ZV8+fqe6NsUbvIOHPupOy0N7eKjYakR8DhhZh4/3yxnH4D8TA/8/xX89zCuEMAoh/hZC/Kj/3l8IsU0IsVsIMUcIUacXOFgwHF0Y1p+UdMaSmipRu8EzeUuWGDNfeine2a3bNwHOU5vNthWVT+tZKfSAfF4f+hg1q4L8BviNcXGXBOf1JLLZlcsSPhw1qZG4/pN6zy5tvPQUynOsteITi8No+f3cSYAO047vRYXW3vYL/2WnGp4TX9+yLRe1c4iwpL9ab8j+36OBO7wZGR5jXFwYJlOW02pdUJcetn62fk9sTtpMz7M9QYn/1hmD7rknVxgMudF9+xZR0coyBTjbc1VsGiHVlVUg0Cvat5q/B3JA7wdyQJ33N/zurVduNgz4vZ3fIA37/Cax3R8Zhvhk4p3A7VL4s/wG30Ago65zgF4M1aKoRSLwo0TWWUorBL8Ko5HGDsdYVPShGLh3ytDWfa/9Iil3vrVTdYtrKAJc0yolYXE0D27bQTkedzXMjDNv63rCg2Jn6oo7NTK459Fms20N852TzQc1gorwfG1MU3+g7uPzwexBMWX7PVKE4XK5zqMFrQNWoEKBX3TN2SEAUsaP/wU1RyUo1qp8p9X6vlNphlZAhTEnVApj/nhTvQYrGyM9Xk5cl3SOQEGNO7VDVWHMahCscrK2NErGLr//rMPoF8H9jaHhzGBEUdEvC5SH3KtNlQQhsJs8b0cuEKJ+ZuyfNy3vatp36QsZy559+edbz9zT9ebsu2lT3JGj4QdZZpnLonqf73GmzOpWDVnKBiq/e9XuhCvhri/fYe5dkJUiv12PG+WgVAm7pm21a1rnzQNzR+b0ySNtYz0mD2mT+Eij5/IiDAUthOCaKg6LGX8xIIgGpkrLjFNYHG9jcWhYHJ61CcsuNyy8HZmdHLboxu3c9/48+eG9v10r3GMjcaf2pLMmiC7J15nO7gNyuJl74T8TAxdCNBVC/CqE2COE0IQQj+v/Plz/3S9E3WQWL+i8/1QcvNoBhXgStfOLQ8kJHQMGSCn3CyFeAY5J+c8WN5fLtRAVvu1ts9k2LXvhhTWl27cPKFPya15UYvuJxjNn7vXhazngygECA4UoAeFCfYwvUewdg20226pqznMCaGiz2coNf6OD5q0DFiZeMtiZhMEvALanvPyyz2SxdAca6FRtFbA4eqGamPsDzXwRBrF+Tica/5Qt28zJ2LHmyr3aLXM+HVkQW5qrX995XrzL5XoZmJw9c2Zx6e7dkfp3/AJ4tCpeV4GwAjvvOH4HDx952BCYpzpPsDrnH6iFI+XUmDElwGdlZv+w8FKDONa+xNN8X8RIu6ZVK43kcrmygDibzRahz0MiyqgPReUxy3PZB1q4C98bszZ6V4dTaXPKUGwAACAASURBVOtvfLIz7lTpcrl6ofLC39lstmEAeu56CirUVuMc6PMw0rnZOS/TnOkf121ceG0qKDV8lx4ogpDvbTbb0PAi0aXb77E7RnyQIhodNYMyHFOBl4PD4aE48ui3lhNDU7KSN5wr7DT9pKQipAiQeaJhzs5rv5l1dVqHdI800Ewiq83D71j5XlmhqbXJY0wwnBozBpTXPgk1r6WodpBn7JomBeJDVEXzBomslNc9veSG3AOJ4+OAd2022/i6zolAPAFMA46s/IX2gzIp+6PhUuk1xKXbbLbGeuHeaygqQjOSkialLZZfkTc40oDhvDBmSbjn77vnf9BvTa/jfL31p/wIf4TRZrPVifigEpyiDEgXdj5FaQLvkchyAhan1doGlQLppf/TblRB4A79+GNAQ+wyXP+eJlRxViJwU40RCKe4H+V8TsYuX8XiiEY5FCNO18/tU98dG2b0l+9bslDG8QtgWc6kpzK19Zbk43viA879b/p1ndCvYwbKcdookX3089lQrWizsVe9W9avP4PS8CR6/knJU73OmE1lkdhltXOr5zRPv7iTBk+sNfPTJ63SQTTM8ybye+4NhUPqfdU4OIQ/c73JvZCWyaPmXF54x5LuoNMD6sggNne7HDvjmrbdG3Doip1gkA+WO7ZOYQZKssL5vf4wLkVFkLqFyOr9I+gyag2llNt0dbOtqLoJiXKYPgbGSykvrI+/FvxXd6ZCiCao6tCAWko9oFRKGfAsV1ND60Qd8J3+806AuKuvHpf81FPEjxixD7XIjgHyc1b/VGKQBtG4pDEEhR50VFYFqRqbAaPL5QqU6k9Mb1N2ybxnM/cZ/KI3KvzULeuVV7rnLV1K2cmTY7E4GmNxvI7FsVNvkN+M8raaAkeNJf5PhF+WnLrBkivcY/sP/P7DoQWxpRK4upqQKaiwC/UeeeR31IJZhtqtFzit1reDK471l+c3wJBcmhzIOFQrZ1UDAn1vd9o1LX+klvbpI7/vE8vuz/Y222cO4/x2nsrwy78Bc1HX2euwOM6gclBvoap8y1B5zwca7npuSLu/Xon+6L71eX/0PnJJoN8vwE1MUFWwXdM+Qi1qz9Y0B/o8NAW+3BO7h4tyLxLrXOsq7TYuBDabbQvqueolECZPFOv+GpwvJjsPjwA+RBHgvwjkOq3Wx8oPVC0rNwfadlp+m5UVt6eQ4kbmaNQL7aKibadps52Tu2ud0oU0cFtNhhQgrmxXqceYAIo2s1qmqQkPN/scP2OoqioWSCla7ddTyHUm+NadtXdR96D3oEwV3oz0nipCj/bYNU3as0YvH5H10IJu+ZcVRPtjI05GHB26JuGH606bjsURwvkceerJpIX9jjJ9u78swh+xDdWO1LC6a6gBRi0OP9XwAgf6G1Hhcw3oDGx3Wq2bdENrpjK37krUM1d7qsQrkkhvANOfuBWLIxMVMXBIZN/jjXPCZt/1h7fU5H0ciAklS0lMKRNX3HqqEBXmPYGK6hxzWq3LW++IHEpFZXMwmUoo81BV+BlI4q8e69h1ESfPNomndrrDxUCDzrnkJKSUYtfSGgEP5HmTvEPqfRXtlcazK9tetc5rmbYsv/k75+6xT0n+9ZbHuH3JJdEoI+VCcfRG4U5tyGvPv/7hlZkc6rsD3h5fFhIhSgG4vh+XULU+7T+GlDJdSrlN//98VBFXYynlHinlvv/GOarCfzvM+z7qZQ4sYNmAKWhLPQxlXP4pAtyr/UAxzAghPDH9+sWhl78DhqLFP3Zyv/02T84dnC6Robm7FdTeTxlgWBoZWrVp17RNdk3rEOGNuilSxpzLX7GCs2+9N0mL2nbSi+c5VFtOLqqabSiKYaUV7tRR0mTYAySYfeZA2OZFSfXekc1mOwyUCoPhErumvaF/xwAj0HiUQXlONyg/obz+uUNPDw3kGPrV8B2rQ4ACb4hAxAM/lEZL+c1TWZcLRKVWFqfVutdptfbC4uiDxfEFFsexri8fHghQ1MhsoxrCfOEe+11Gg/xAHm9gFc7ECaBRcCheNxxT9Dl4q6o50D3rDUBYYlniJgMGwX+uBnECaCT8Qi1OMKco3r/QrmmpqJ3yPFSIcPqSDpcWn2o0IRO1KAeUihKAXYZS//GCVpG4FnVpjzu1X1DbTmDcLyVySRXnr4Skkj8Du/FypZvQinQppPni9bH3Tb67BRMfbOaoylkLo9RklIUSVZldK3QWHBdqzbDrRj8FIDrvxBlAdJt06JAetv4jjLC7OxVfHDXkzG2Hm5e0OZBtyvSvS/wpzJkyq5kzZdYR3KmZAvE20PXeQ/juOqqqc/XT3V3FJdQIj8Bwa1+aUgsvsF3T/rZrWmfUu3EY5bQd2Lqqfr3SYoNX/65PoozXYapLlSiylJlYHAd55p23mDIJDrfuhjLAWoYlb0byvmc8vVe+6x/zzrfdzKef+AB3alV57XDAo7esNUPd12zgugmPNls0eG4STfaF3xhyD+vpP6ss9BKIx9Cr0rliQ38gI684NqzUY6qWiF8g7kU9r+m3niAdfQ23Z43eMezs0CVkPkI9T7LhTHiW7eekhdfvSUyLnzdiI6ce+dwrEE0ClIS4Uz/Sn2tGd+eWpy6Gxgca+nh2SrgQ3Bt0ypQ5LeGvZKK5QKazC4EQogWqjXDz/2L8Suf6b4V5hRDXA9dJKccIIfqhttHXCyF6oxY/M4qAfYiU8jxd0brC5XJlA9E2my1S//0AinrOaLPZZESBYcplK+MnPjKtE/6cc6CYUibYgyTJXC5XOlDPZrOFV3MOM1Dix6/1t/VvBCSaSg3XlzWZDmq3eQV63mL9hEjOuH6i8OheDNIghRRLfAbfPXoVX+i4bwPjR188mj1xezZL5GWhn6niGA3FFxxus9k8ADp59QxUxZwxP95b/N6ME5H7uxcfBVpJpAydpwuBy+UqBgr72fploBiEXpbIlwJ/39jy1qtzTGfm54adSREI2hZ3xlp4MREyyu+JEMc3fGVtEVbg23X5DQNCi8MAEIjdVY0bdH4nalHpZ7PZqiSY1/ODDn0OwoDcL59NP7D6zpwewM/rXOs+RFVxf26z2R640DkIupZ5wEh7Tzuno04fAVpLpMTiqI/ywm/y4Ol4MDLNnBa9jVJDCZayBr62xZ3XtihtOxl36iZ9nGdQTtnTNpvtbX0eHkOFZSvGrQV+p+HshobLEn2GmP02m63KfH1EkWFP38UJHUa+U1+aygwCFVosr0gHwClKtyV/KPPNVjPQyGazpVc1VgACsQrFSDVXWmaMBu4l6czDxOV1KfS0Z8v09rSddZJGv+S4UXnaL4BlgYiDU4mjz0FR+InCGF/2y3OPJJ9qV1ZY9A3GSD85rsbruqMKbVw2m61fbXMR9F3Ec13xv9kZUMw+Y2o5ouJQRbo+C2hkMvvIivP/Mm7Fwas8EdILQSF3i8OCStvcjHp2A7SZkpSMQvqvjSE37nG+WvGB7tQdQtVbPFkjv7ZTFAPnsMtKu/HeP8WdGvhNUqMOW6NBOWefA6l2TfPgFIFnaTT28hYbAASiE6rnuvz6hcC+9+328/NK4kp6Pv/XeeuBQDQHDgLisY9tfabv9KzkRLN4Nl7uQRl78v0mlpU1x5Kw9OChFr+2jjtrEL4GpVxxqbt04w9NIkPTHALROMLLseRSjB//mPzxkNvdowC3lGrdfHyPmPxpW15OKKP0dBSxdRSyuCAIIWJQDuDrUsrvg/59Hf/yMO/lwI1CiKMo3sn+Qoh5UsqNUsorpZS9UGHIA//hebYDES6Xq4X+eznDjED0KY2RT7uGniuyvPhCVtzQoX7UziBUkmwLSqGkyn5Km81WCpzJNeR0tC/qkfh3v4l5ZU2m/4BanIeidhIa8I7s2nJvwtOPgdn8mF/483wG3y2oHtVPnSHC1NNaT9sP0PtMby9158ANGJNgsvRSu6aNAhJzLJ6f/QYiX7y7JXMu6hgz39op0EP7tz5PzUMHrAMOeYW3nlEarcBf0jLjbSyOR7E4XFgc+b0L+q++Lmd4yg1n7DQsa+bbF7mT75Pn4LTM+mNh3Mx+GES+Ny6sRVUDC8Q01GL0Z1WGVEet1IY6gf3DqPu7wBsm4+59s2GPF0e28H9xcYd5XACjU03YkLhhI0Cv7F7+PZdNckjLjAB5RgZ6z6MJU0HH4ouWX3lu8CNI1rnDM4wb4tcMdKbMmhdU7BKQ7hsC5YveNFRDfJ3adgAMyPBozyE/1ZBrCMT7pVGyw+qROZtNZYb6VME0pX/UmFi6JVANWuNOMMxjSO20p8HAqS/dWOS3fDAYPYzJ2aQuAJGmvSeEV8oDoxof0ik8gzmfAbBrWo5d024EmnrC/L8ZfSJ5ytDWfNy73TmP2xQGlOgGvbxHuK5IvpUXp1iht5vCCzGk+nUttWta4wF3HfHGJJb5E92mAe9e18bw6vCWm4pSpt6MxbEqiCzlFVSYuBAVUVBkKZNe/4HeG+GalYF39TPU/VlbB6EKIyFC2AIxbdN1+Y1e/eLYn1Skd0ahojBT/f5ysoQzIccZ0VM9VEQPkBJnvdgz7D7ROUIIGgcfs6Pvs+b+rrbbX3j7mrDT1tfKpj8/bDPf3pHAX70EKrz8IzCixdm7LhlZcA2DhnRJHOPaK74dm3kmttDAxh+amFFpjieCrkMAG0uNGL/5A67zZe9CpfhShOAugaj3aVteiPbC55uY+z8ypCZUWnB+sCH9X+K/ZkyllM9KKZtIKVug8pFrpZR3CiFSAIQQZhS91kc1DFMXhIaCFgCUibKRVKi3XBcWHvlX7IABhoT77uuLupHlkmQF69cH+jXvrTSyxVEPi2MSFseWlB9PJyV6kwxznrqPblqTWJTs2zygr04S0Bl36gR/pHElQONp085SkdcrRfGH5jmt1necVqtRIOJ/aPLD9NMRpxl2aliuRNZV/DZQyXaeesdILa0odd2BnuNWHuBEm5K/w7yiHvC102o9Xrx9e4BA+4JDZnuj9x4Mk2FMmXW3z5syvQWBxbOiSvd3YGyMPy7GdnB5GIJrEZxAcCVwpHj3bp+UMljlBwCB6I9qW8qn5hD0MpQhrL4qWIdd0wpHamlPPbRhr3dhaqZssyNShJcZ5p8aM+aYv6joHHVjdDofFocoaPbOoOKVv73rLy3ljc/uMnQ41OBdQqjbgATcqcm4U69PSX/jY3uadhU6mTcqYvKb02rddWrMmGR0dq6QRW9kEHF4XWCKLdtfRpBcXQD6/D6Omt+rqmOaclqte90nIwwNCn8K5GfP14rVw5j5zd89dqLbqzO0vpN4+sOBUXqbhgZM5Yl3XmTcexjGTftAholMjKLWXlq7pp26d8fe2MdXH+Bwp+L0mLywxstntwlbt6BpI6fVehGqRzgxmHSlJgjExWfNTO6UC4tdrKnLMVWhfpNisWlikWfHbTE0cSfTKi2y7+rEJR8dNR8Y6McfjrqfwWQp1wWRpQRI9rMF4kYClalUWQEbCiNBQtiV3hEj/apI7zy9eHq7p9IPR+P1ljMPBRDQGp0nkd8F/yEh6hznihIQ+D/XKSgXYHGktzlqKfll2GMJL719HQ2z4iWwkfs+KeSNp/Nxp1pwp96AO3XhGRn1N1237+f15+vJMnPpD4+caX3DmAOlXfpmFaHSHNOcVmu2U2mWzgOaXpXJocvVFeagIkgSeBvYUGQkbN4GGJzBfz2HKYQQKIdmj5Tyvf/2+NXh/4IBaYIQYg+wE1gmZY2UXnVBgAM2wHW6EpBanDYc9dC9K5Eu9DaN6J49r7dr2iDUwrYRaJHrdI7PmT8fT3rGDVgc92BxrMTiOIvKVbwmkd2zig4JDIKtYxOXAWbcqU1xp96FOzU0Bxu4nluryes9BeT1X5CwD0mkV3jPRvmikurKEoQKmfkgtEMMUI5Fcmm0dE784dAlqEXzd6BpzhdfPCL9fny5ucOrOO586Iunp8H0w0MeK7gJ4I5NA41GaUggsHhCC9ypsbhT++JOdQRyQHZNWxGc7yn6/fcEIQQ53367JtDKopNnBIzkoJqcCZvN5kMx0VSnXVmOQJ60LFqalow+M9YgRUuUoWqav2JFImBaOnZs3QqxLI52wW07McURK195a4g5Ia2IPGuMpArqtlDyAH0+qix2KfrrLyn9/iSz11xO5yaR1VZGVwNjfNnOQD9juaOk57d/pIr5DWaaQkV22q+e01L8MjOmufR6S4CuOufzC1gcW4M4n0f7jf5m6y89zIYeh13AlUGO5DO0LO+lP0uFHm217Fn6db4JXFyQ6Ns+ecGRRkCPVl3PcfpQjBnYnvPNN4G2j1rpF/Wiu7WA+HY91C+7MOUVLI42WBzvYnHsKX79JePLI583T51xFzdl3O7rkXflmTJDiW9D/Bq+SflYOFNmrXSmzHoLd2pVudgYgF4D8VPBWW2r446rXAi7undEX1cmoHLin/i8wvjr181Z9E6HHwIsbQLxKEqu8jihDnSjdzuEbb+I63clyeOJcwahdtUj8qNLUuYP+4u7HV8VFkaWttWf6z502ykxe0P5dCPZfFljTB6wuTIlMtcYRliXK7PTUZGPpei5/3Fjm9jbbI/M++lXAt0S2VJyCviFkfPqA+16nuH4oAygFpWef4jLUW1o/YUQ2/X/rhNC3CKEOImSSlwuhFhZ8zAXhv96a8z/BVwuVwHgtdlsCQALNi3I9wlfzMhLR+6SyK76Z2JRYYqtNputvKdoT7OH7j1hPvRedkR2ohCC9vlWOhVe/P+4e+84p6rt/f+9k0wvTCEDQ+8t9CbVQ1VAREQRCHYULzj2a4Mr2BAUOwHsgEhAURAFpMklNOlFPPQOQ5kAw/SWZP/+2CdDZiYz4P3ee38f73q9fA2m7Jyzzzl7rf2sZz2LcBmRD+zLDy362Xrw5Wc8ESL+l02/IBCbNE2rECp0uVxFwAVN00qQq/x5vfxI76PhuWZxvnaBt0nXh7ZHd+vWCRigaVowYfRg459CyX6FGM3REYgxqHrEM0DtQJjQabM1A76xPv98G+n1cun99/eg2LnX+oKWkwPKjixgWV+dpKHDCfGaL3Yb0Lsqf9IWDh48IemZZ17LWLKE7JUrPcCs+3bv7+QLpQUwKaDmt6Jz/gUV2TfWNK3cOkOBmItid6+SyGIxeafN1iyibdtlCY88UufyZ5+Rv2dPsDmohILP7kIRxyL9b6VWyciY9OyKSlvbnrz4bvrXO00m0wCgqaZpN6JCVcKcNpsGfBXRtm29hEceYf6xF5l35/az2fG+Wn+yITQ4hc9DuL6p+ormBNzbArEP5Sxfl8iJFQ2xpGvDHiYh/5l1JYy4YcOI6tyFjg/sJcJTnJW4Amwd/tlXyd/dsae1NEmnRJYNSJziPZSQ/p2u6usSUSz+dzRNezHY7wpEN1SgkwdUlcgsnMIMeNJOR+xZM7duJVNsbN3kKVPI+vVXd+YPP7Sy63q5u3aBWAdond2s3ryavsD72IN3bwL813sUCuVphXG9fUKy8pbf2dTpCP2XtR3RdUe9b3GnSKNG9n1UbjwEhdBMsOt6SejWKbYCHYWdo6hmAM/fEKHGOHfAhV32EIi9KIi7wmek4CvTilN/xN26Y2VVHwhTYajv8utfn4g/0aLAC9SV1mm5KKWyO1H3dQSA1+Lhx5xGuH0R52oO/O7pgQs+caKQvEYlRE2cIh+4jF0WQ8ICsQW4iZcnXWLKuMpAVzlPbAR07LIFwPD3qrRGsKvv/HgRnmsivkp+9s13nY2Oji9qi13uFuu730fb3V9zvJ7MOrBvWrSXJ4E7sN+Q8Mn/efu/rIBUkR0E2rlcrpgeWo+mI5JHRD928jEcux1jMahNmqZluVyuDOGRTbE63kVBWY2a0srSNK8V+t2hHCnYysGtWzgYsRcEW4H7Rur7Z2EUpAvEPagF6np2BqjtcrmE39mByusJxAJzIaNvm53oueejJFPGKWen/L17iezU6WVu0JmimGhDURHVZoFohCIgBRWgtuv6fqDt2p9/3m+KimqKxdKaIs8fyxp3O6KlD7gYLWNbcE1XE9TiufaJt77zTR+18TZpkrvWuR5I8EKt0ud0Izb0xx9fX7du3bhoTfNkr1wpgEen3FWf9YPSL4z4sOor3Fir759QzvR+VHefMiYQd6Ec6WVUaUGJOXC5XM2llNmR7dvn5+/Z0xrJHz837nK4R/ptqTGyUivKSretAeY3Xz9pm970wh7U/LYzuUy3GeM/gILx/5TZdd0F1P9g4uDJCfBS/13t6f5eZnWBWOzE9sCflN8TFvKzjeNtYszDu6j7dEe5jtTqEKg8/ag7LGN7E1JEZmEBew5kInuEsLyNi9gjOYfiPdaB7U8sOFoqWLu3nGMJFDpfjXKmwWQmEYgo1I5IAAMk0k/QqwyQVCvvrF3X2zhttsGeS5cWWxITrUCq02b7CSgzR4YykQYc27yab1HkqJKlIlaHGeU470U9O4kB72YAa/NDir6NO/H3yVh8Cc6N7Ouass7fVxe7rnuBp5w220soktK9wPtOm+0fwHN2XZ9tfDQqU62k/kYVN8pM9d9/OcY1bAnsvF6wGRYuwxu1T+fgtoRqmVdDZ3stst+bw+sTYYn3aBd7H+Aa7AxwlcjsXfztk67mame/v/tBTw+EN5l5fT5Crf+PBVEHKw09T0CxnvczZdwDqNrrz1HXMsf4jOA5fgTE3m5Zr7/yUN1+GWnhHX/+pAEmk5yvL687mm9OfkZOJPT/Rex9dGiLro1+A8pA1X9Z+78sdF+u/f777+cA3v343Qyy2bK3kqq7bp7ZfDBWRwxWxzNYHZuq/XI5Boj0honnUIzYSyjR6QGXhjb6R/wD9xN3771fIlRLMo9Fnr7ty8TeEZniFCqCPQhUMna5FVnQxtp+XWBvKPKn0Zd7CkQSsLzwxAnSv/yyu9F0uWy+qqz58x8jjXzbRtQNX54ANVgdIj7VvFuYzXSu9lB2zYJ6ZFjSG/6SuLDbnsgt0fkibxcBOSDhfuJtx6MbbpMm6dfX/M04p3+JwCOEOG6Oi4t6ckvqoI/fPUNIgWDEh1WrUrKcpyLz54qD1rMKRDIwHwWp3RxMmEHTtBxzocyOrdvCcsuVuy7WLKhHliWj0YrE73vuidoaly/yfqds2c4cvemFtaj5vd+Y3/nGkEEdxY2YQJiffW3JqPPh5+GWjjkCcQVVinDZabN97VfwqtCcwl8Un40SHYhqnd76DlQqIZvSOeYAGBNFYvkVsOMzWWm5l9guew9UrdP5ToDQ1s0L3KEXGh+O3Hdo+s2NlpkLyg/WAqy444nRA7YiRbB1lEzD+K2EFJ9d13+0VK58LLxZM4nKtZWZI4FogRLxKEQ5yWt9Na2OjlgdX2J1nDSOfwGKQRyNgq5fB6oZ17t3xLlnhxSE+RI+3AlDUjkW7MDtup5n1/UHUc74R4xg22mznXPabINPRpJ4SW3qr/Ln7pEkgJ3xhKOuYQ4qQLieRXEpgUGHnn67mfX2HgMy7dhy2lFUmBW6MuGHmF/jfso/E3LsMyAJd0o8k19+idqnIMSbAYzDOVJg9iUDyyXysyDjF5OiBKI98Krx/92kZAegm01F/ny9v9xnDkqXe9WBjrkT7bp+060PH9/eoHU6Xo9o3GBfhGvEu0nhdTZU/YJz1Vj7R9ceAE3/znd/lRZr17O/nDMVQtjff//93gDdnuomiELUmWz2CI8kaX36U6iH8n2gS+yBnCJpERy9P3kh/kJid8pQ3Cm/YBZfA0R16VLPrus19Y7ZLx5sn4P9/Sp83qVJzXm2ZvO8OTn+h35EsGMJsPLYp35d4MkSudGumi7fVmXixIvR/fpJVNPl5U6b7bDTZqtIrszPRtNQuWAr8J2klMxWqcXTNvWUHUDUSY7qnnnr4Q4Z3X/xCu/l/dG7zYuss1s7k2a2cybN9BhO389+9Ytc+Dvd/CvCD2B0r0nyVVu6tX+WnOA83gMVzYYBk6i4Kw+apmWgrmXT0u8ZedJNKOjtOYncHzAHNbE6JmN17MPqKKzx86XooliLJc5cxdo989bjN2X0WOUTviv7o3aZFllnN3cmzWzhTJqZGzD8T6j5/VYiFxjHkkXATvBftJ8Aa5YlKzuuUu2I6jNmWFEQaR4qv5PhtNmmlZHfK2lW4282hrhGpDdyIf7rZp0WitXxLFbHZqyOHBRz/lnjuC+h7tNbmfrsIOxOuPuH1Y2mDPkR8MTeeutlYIxEZsVfDhnw3sAG5vEP1N4wz9YseGswZf4g009k2gdEuVwua+CHBOJ1lCraHxJZWm3J/9nAnedGERoqqs+YMQLlZIrnaE6rptOEt7jedZi0Tgvlu3vu4Pu74bn3PkShOA9jiKWg7rn2uFPCcae0wZ0yEXfKeeO4xgC3xhRy8bGjZY6hjNl1PcOu63eiUi5rgGSJXLxtUfWqVzJCAHr9SWZqZYAZjeiOuob9SgnMBMySozZWxxSsjj/4x6R2vPEawANVLsWE7219wdMit/3Mxrmt7pBC7r4Ymhq+IX7VaGfSzFVGyueayIMUOQz7FtKs0HLPg+Ucl0Dtlks3vvfnix+JCis+zGwDIbqPUghRQtUC2aH/Bd6bdmbRbwMyuG1WIm8+G/bIuFpDZFFemAA4m051/kI9Syuyv5wzBd46efJkpM/roUN2cy7Xn8Kyr0ZbYg/mkF073IISlJ8E1Dj4bK3GABduTUzwFxL7TdO0M6hoq5VAmN+adfqFyV+eZuNtV78QUmQDIy689NJTuVu34isqGlz6IErZMkqVYQToAu+WyPGBHzbHxGytNGiQiBk06E5UW7GGwCanzbbHaLpcwoz60kt5przGqNKKs8BwrI5KFS2eoZne70SRz3NqWJU03CmNG579ZMDw/b9XRuWAslDQcfrdH1lPmDxEAm8HiFxcX2e3YpsH0Ci7UTjwdmZlr8tfzoNa1GOAmU6bLc1ps5WnRrUfiHa5XImlXv8Kf+mBddqnAWU7WILY+gAAIABJREFUmSgCxkso2POqucC3H7Ng09e253Gn1K9/dvqtw/bvTUTllLJQMGC602b7MjLDlMK15umlAyi9nGO5rhkNlgcAZxtkN/gRA8Uwcm+xqN2SF0Nv12mzvV7Ozt2/i8sAvpZIuh1vG7Ji6Nhj0jrtR9TO6D3Ubs2DIueMBsKNQHIY7pRVWHylFXROAVWrz5jx6b2/H9gw5bNTWAqFt9mOqF6UozRlmF8W0U+IWmH8LW6LKBCdUDB9HsFRDr8zDRSJL1Yps+v6+8YcTQJ8IR5TyocDmsT/2PfObK/1o6+Bs2zq3pWtncDszSGIWArulDJa0oGpkh/W87y4Nq/XNbuun7frel+g/m8DMvM9v8dwZGoD5tmazTUE42/UKgOkhxKCevY2Fr9jdURhdaRgdazH6shCBQYvAjbir/iyBy+RLf852Vdz7yue/t/OrGdKe3Jsq1Nf/2TX9bao638I1apOX/ZpvamF+SaOROMDZiOFpNsG2NfqC0qbU/j1nbNRjjQWmCGR/muLlGypnpB6AmBTZu0oFIoUDCGK2h+L3NUre8gnk89lZSZ478nweLy26MOiyaklfDunF0UeAX+hnqUV2V/RmdYC8F1JxxQWzrrQ7/k29Gd+LzhDbu0If7Pwf+BOSdU07RTKYbYuZ6wjQEKoJ9TPrpw7453UR1G5oAl4vYXpc+aQNmlSf6fNNqU8aNJgnxY31hYIjWstiYKJai8GiO3Xr5td19uh8hEHUc73d6fNtslps9UJ/EKGJeNQhC/Cou1o6r3c4O2D0jrNzQ0snjLEdAwhklwuV/GOJ1CeL6uSx3fnZ9bEj3s3lPNszUL8O6M/w6gNZj279xzgDnXTO613oUQW5xntup5l1/VhqFKlX1ALynynzXbaabOVLiXwswGLd8ehhebBzQ5UffC1yQMKvdaPm6OYkP6yHYFRtoOSbks6MbKqGtMsbgsc2K7rnxlz8BKqlOnhN4fVn9ZtSawvIdXSLQi06Wf+ldssPJgJRAPj+DxAFxMmP4ox0jgOadf1iSjH5EBBbK+gyqpK9+BMJD0Ovr6vQ/ILv+4NP5vLvb/149Z1TRtQFsashDulN+6Uz3GnlFZA8sOi/p3GZsD0cb2P38PMwH1dc1J/75oTQjlKUwHjKNj5WqeVYvUs49wjUNdQAAMlMpiz8pdPBbJkr6mUWR3CnjZmgD1tTGON4YVtCm6mzsk4cs4dil4R/33M0bD9Jxi0aCeTX4J3XuiJO+UO3CmLAmtcS1upVMn9fa/tvf9U67iR+v7npk9NDW/8/FFfzSaZXhSRb4fTZttmtDar0J5syyiAMC/npHXaOEOCcjFWRxrKmU2D4l3relSwFe197j33oDfWiH3Nz5mkiQcl8kzguH6VNhRP5HTGpfAGS6Y35LP9lZ8OyxEhmOTjHGmcDgwUgtLBYRLAohoko1ixhyTy8dLH/sQt0xwSeKB9WE+UsENJhAjItBA1tBsiIjdEbhzw9NwxB594/sErfzPfeuUuqhZUI+RMJtHJxRynv0TP0orsL8fmNUQhajdMqEnz5HwGeRMJNZkIadmSpL/9Den1vtCjV6+p/s+7XC4/yzHcEGMg4L2PgCdHtxnN4djDp4C6pVix5ji73Z3966/xnosXQTnHN4B3Sit+uFyu5UD/A9EH2o5pN2YDaqG5OYicIUYNXS6wR9O0YjUop83WB1Uf5b+xVnW/2u+D6kW1h/46Mv3B0ME9TM3fOknirixQ+aL9qEj8Ez90FeS3vkDlfwdpmlai/ZRAdMPH+m4/VfL8bXw1KRChxnG9BbxVfcaMX1AlSA01TTtaZvByzM/anLJvCjdducnXQ+tRLtHNabPVRgka+IOOwyjCyRaXy1UPOBaSXvRbl0cP7ikI8fS/Gpdbp4rbn6qjyPj8UmMOTpYzB3lAjqZplYO9/9i46uJI69zsfnMTImscDwe1i5oMvOm/zoZIyAlgjaZpfW9wHgSqPrkKcK9EzjOCmiLgSDAFIyMv+CkqZWAWUlxtmdNxvS23bR1CCptRFGoBuFg5i71PWQlvWJ/2TxzuHLn/sRtvaOAUrwETgAexyzkul+s2YOn7Dd+XP1X7yYtS0TpjHE8ZpSlUn9uZOMVBoCF2WRyoBc51MQMUPpLIpwlmTjEOtescjV1+DoDVYdvqaLTNF2aK7PzoQS/K6XGi1mXWdzoqe69t8PlW+bO1wJw3CDBbQr2F7W+5EFqvVUYN7OVwCAJMIJahkILvJHIYzmLx/mexX1dkwT9GP1QwmOF1EmaCdOekZsNQyk/1jY/9E7jP6B1a+vvdhu+J3TB/TmM8y2+7ZLmSmMC1zU0Rame5FJiBO6WEs3xZFwVTbIQCCyXynusd68GnExZdOBF957mjMWTHeonONC98/NCvW696q74LLJIyQC/dKdoAux7rgPysIYVA9SDN0MEpRn5Vj29GdQLOV9kuky90LH5PEb+Gf/vo8rmJh+qLnhsb4hf6v+rL9X318BbTguE7OfdBOqnzioXiThkaBX9Z+yvuTMcBuUeunGGx7mbUwYOsvnKlqPDwYa/0+chxuSYHqnGgiA+gaOIlbGmVpS6A9untfQRnxXqjunVbnPSPfxDasOFqlJ7uFOCK02Z7tNRwPwGsTVq7HOVI3wnmSAE0TctDReIlole7rq+xp43p0jaz6w/xRZU9wC3bY12/HAn/4+Gmv1pMeH2cGVT5IioHFFY6B1SO+fOqJR46g125AhNi4+CMvgIRjeq6E4rq+pGetXatP1K/YeGH4nFBJOcluwSiuGFAMDNqIG9GRfW7gUZIflveqPu51ves/zniXAHRJ/M7A2MKQz111nU+yrLe+g5K1zyW40gNOwIkGjKRZeyzt84t+ec9VyPHfX/8B5QjC0Ht8K46bbbHATRNO0nFKEcwW4JypN9L5DxjnBIoRpn5SBuDPW3M5rvSHvqteXY7T6gMi9sbvXWQq9Lylu6wVI/nzkX0WP62p6o+jlMd5A/SYmL7zCZ/Fj0IZOHyS5VflueYc2iS2UQADwfudEorTaHg+RlOmy3t2J5KCZRt63UESIzwRLyOwQAt15Eqi6cwBD5/RMPq2I7VkQf8UW3VlcjC+BDyrCFuj8k3z7ZhUma9na/y4PRvhtY4MPGxuw7uGIJR3+gpNIVuWVod56Sm2w15wHJNIEZzDcr3pxf8u+Mbqnk0hCsWo3aMfUwqyMi36/oGu643QHXLSkUREs84bbafnDZbPFZHFayOCUXJH+0+0mHChvl9J8E392O5GpdoHM9soKtxX7fAnfJyaUcqEKOmNiW05wV83EAtLsDRwemRPYad4etpJ/OiMk0ZwNDpjXu/3T9hdqGJosFCXGP2XwijKkC2BQHcFdSRAlObcHNKe4jf0hpqnQ7F6uiG1fE1VsdpVDDwzbDPB4hmZ2Ix+0w7UFB/UvxvL25/bupitp87HehI/zI9Syuyv9zOFBQJCbV7qoXKkY2b16zZ4qpvv53luXDBfOmDD0Alw5+rPmPGARQp4XtN04oFDAyo5/yCLQusYb6wK4O7DA6aC3O5XH1QtP9vUseOHYvK1w1BBSIXUa3AfnC5XDE+fJkLayxkZv2ZeyWywkXX5XK5gJsr7c2q2/qNk/1QD3ZbAmjtqaEnszZXXh9Z5MkxZyR4qHXrvUWRnbvk9ezdu1J54wb5HYGCGE9qmuaPmBGIHUA7FLuymBRiiCx8CQzFYjFV++ADPJcvH+szdGiDG/m9gHHfXedatwPFppyuaVpKuV+yOkJQsKc905TeaX/UnpgT4YcwSzPV7h2Dr2Nj5p2bsO7z+zb1kCbpksgeN3r+xhx8BDwJjNQ0rQRpSyBGoUo6zgE1JFIac/A5arEyoZzOU9VnzBiHcvrFOskVzEOZcQOOx78zsml37ztg/PtB1O68SsAwObkiR18f90vcFYu7EUJypk0O7791nrRaRe+sc637gVLt6m7InGI2qsznJuxym0D8+OYfb97RMqOl7/aut1dEgMJpsyWi4Nz+gIiIKZJ5WSED7Lq+wji3j4AnH2vzmDwUe6gAqFZGdF5d7+HASOLSe5IVHYq3uBVrOrDt8MPJZ88PqDwKeKeH1qMNqvTlG4ksA7NnTQ/ZtXVZtTZpp4o72x0HHjZKkorNgNwPopxg8e4bp/DfHwOxy2BNsEuYQOxHEeMmSOQbOIUXOIBdliij+65p64dNmD8qNOVHh/nCaZndkfr5TfBaYF3XI1QPv5zZrOXGWBLdfRiV/+sN/G494HCNHMzbV3Kh6pCSer7lfCf5b4c5O3MHprebcmfNe5stQeVeXwEiUwvqsTOzx+FB1q+a2XXd2/ec2L96HU1facHuN1rItuWMaa2VFnG+98ZG5vtfHu2p4Y62NDAXp7y97oTsC8+9vqj6mTYH+WVn1pXwETLR+N5I4BvyyCSWdDzX1u8/27P0/6L9FXemSCmdUso6UkqT8ddp1/U8c0zMH6ENGkBo6M8YahypY8culh6Pj4CWXob52ZU58UXxcRUoEv2KSq53MfJ9Q1H5vpWo/ML3Tpvt5Jcbho3aH7ufduntIHieVJlqz3VbnW/OxwPU+sl9AlXDpqGuxybgGSC2Rup7Le/ZvZ2p00/7ojPMeRnzF4Skvflm7PwOHaZfh/VZbEaN6HkCchIGu7IdsK80u9Ku6zl2XR8OJOHxLC86fRpfdnb9GynjKTXu81xjIfcIMg89sTrmYXWkonKWs4C+sb54S6esntvaZ3X/0iu8Z91HtyJDTXhlXo+wHDJQi+qfNb8u7pDAF43F6VOMfKbf4RlzYEdd32WofPq89Hnzagcbp7SVN67fYvfnbAeo/2XqRlQUvxRFhEpAQffvAvVxp0RHpr14U7/D6xojaHihVW5O0oFI3rutAfNszW5LHTvWS6l2dTdo/mAszd8tJDUitSDWE2sqLVFY2vyMdKBu5Rq53rwsiwB+cdpsh5w2W5e00LRvAVpmtCzJALU6umN1zMXqOIO63l8Dt+KxmNFcUO3sh0Bl3CkJuFP6nR9Q+SmAk5EnR6Cu+SnKQUhi4j2hfe49Lbkm41gPWOe02f5w2mxtoBhy9+dJHy6VZ/TPh/t6EycQH6Ec6RaJfMN42QTkGc92H6wOJ1ZH6j2XHvny7ksPRfdOv4NIbzTbY9czr8YXsu/01+nnnL6v2YAFy6hxFiIKLtzA7/oZ7OYFm/BWzSc467fsdzZHetQ6/+IBtgaqtPmkeCdEFDDI+lUjnxRZo15NXpFvUuz5N/ZRulIgCqvjSayODYdueuXi8RZTzF899gg3p3stB73xTMtrkQ4MrLtjQnzSoZfj5w7bLj89mFUQLlXbN39rRMBLBO1kUcn1+3rn8lew/+rOVAhhRonMpxodZXqjtBpNqIT7g1LKG87NlTaXy/UBStfy/tSxY9egFtHe8Q8+SLjNxvmXXuph//13l8GunAmcWetau96EaSTQS9O0f5YzbiqQpGlaSODrBknoG4ns6jOBu3cyrbQULAkJlTVNuwaPWB02FIP2VhS8Z/ZEmNg0pxlJrvTcptNTZwAzcacUF08bD8I5lOMeNc/WbFZUnz6bCnS9s+f8eVB5vSnAGxU1pjaOfzFK6ah9D61HCIpwko+i9ldIuvjnypW7RGhom3PPPANFRaBgvAftur458HMGa7PMuC6Xyw1Ea3fva2HMwQBUcbs/j+pFddhYAXyKO6UEiWHOiw9NrjPgwZeuLlhA1kaXNPnE98CoYF15rjMHHuC8X6Wq1Pw+JJGzy/uu02arCcw1x8drVSdNImPJkuzslSv723V9Y+nPBh3X6vCzh+8EmvssInzj181IXn2FhrPOn8Xf6LmsVGXguF1CvWzqcNjC2HvrnyDfXBcgYezYgvCmTUOE2Wy5YXENp1gN9NF6Y1tfhb2A+HzH5/9omNNwMhUoGAUZJyf9YmjeL180OIVCVdjTLSun/QNTo3w+T+7wO9NnoK53I0pe7+MoYtJMPnpiKmqXWxl7SUhx9frVmScjT8aMbj+6CKXyFTyd4RTHgFrYZQiA4UDnolAEgG3jvjuWecpW0Af4QSLvLvX9H1ABUl3s8mR5pysQfpQqC6gikXnUmdyEoQsPsKF7LscahmHkd43zPIq6r2c4k2YeOdIy99OwPNOjtY6E4xOyoGV395kW3S41EIIk7LJCRy4Q/md4kXRyJwHKQxV8ZzbwwKdbSR99jHggFHvJ0p1wU84LHWLXvH1/9TdlFLnicpNchnW8SFJy/iie+/gKCjHpgsG69gnJb+1PkF7nXOHA5O2hxGT0FM9c+gKVJ26OFE6U+MRb0skLwBlhpz5qB1oDJRIRrLb1T5kQoiYqIKuK2ux8JqX8SAgxFbgdxSk5Bjwkpayo7+u/zf7bO9OnUI1a/TYTGCmlbI3K7V1XZu46FqiTe96u632Aht7s7EumqCjMcXHrvuzQ5FD8eYsDoyA9gF1ZUS3pdsDicrlK0N7tun7Sruvdnl969I/V9itUWXuRi6++invK1N8vJr/8QWAOCHgcdcOdB76x5Pl6YBJ5aT0T8nGnPB/oSA37HnWj/CSRX9l1XcYNGfJw0vjxxNx++xlUXu81VF6vfAhV2SKAfFP+g1yfXVnCTOHhS4XJhPWZZyZRThlPUNamEs94NsmVHoJPhhdGmYLVPPYHQnCnNMad8lRpRwrw4OTZQ9yhbooG3ZRr8olMjHKeYF15rmOnKdkjdRFqfpdU5EgB7Lp+xq7rPbzp6U29GRmEVK8eDWxw2mx7g5QyLTJ5RdX7FnTYKa3ThgdoPk9C1VrmmTxypanIl3tuQGJOBZrPxWbM70qAOUc82J871Au12z9WsG9fmDCbTWmTJ+902mzVyxujlEX7gPVVWINycqMb5jScbrz3Z0QHLPFVCvPsut6uUlF8r4LE8OxWm2KiYjedodrlhMgCUfB3SomloK53I9wpKbhTdPyM4FL5SoEwr6i6Irx+Tn0aZjYce51mAOEE5G5L9yyVyI6T7qnX55X7ahfMatPkiSDf96dWynVohvbxT+F5Frnu9idnSeu0tVgdOeREH2D2w3CqTiQqF+5XYwrBndIEd8rTuFMOj9T3h786/+TwcT8c52iL3O9NUpj+WJ/UYNXsOsyf3OSBCs4NgXgA5UjPoxCMYuWhCr4zBAXlX3n4GGqDYi9bA1sgo6ZuzB6QOcYRKhY/fpWkI9Gs+boua9/o8+UVi9vfk7cSsG/VzQcXxh95gW7LP7jap/u3S6l/HJIun0XJksKLU1ajHOkuoxxQ7diV6EkN4Jd/hyM1zAM8J6VsitItf1wI0QwV7DSXUrZEkRP/tGLZv2r/NWcqhKiBoswH1jZJrqmoVEJF9P+yaZq2EzXJHfyv2XX9aEyvXo8CRNx005XQfFOj929rYH6vX/3T82zNIrhWI1pRPaW/KXkZWTWBeO1iLU/z9NbWs5pn6K7IDh0oPH2ymivul6f3Rm1tny/y8lEL4f2UFMx3oS52QukOGcbDMwSVky2ucdU07aAwmQpj+/cPQxFC5qNKIqY5bTa302YrT2DhO4A9lfY8jFo4PpLccMOBrwFC69TpUF4ZT+I5yybhEzGPzumyTFqnPYPV4UbVDb5XdW16JUyCC73ij6N2Z4E1jyuuU8IwAxONLoVdKrBG1g2Lu+++wFKWEl15buA8/IpONwcsThcIQkwrz+y6ftBcqdKpiNatfaigsKUxB5tPVH9y2IaBT29a+NDDg9MbvMPXT9zfDoVERKDQmPEEwJjeKMtuhCgjcFCOuYDoF/Zzqr5qmua267rLrusNTHFxkwEs1aq1IZDsUrFFfqB4xMkYwVqAMEV5CkYlzeoQnK5u4Ye74rA63P2vDlv70IGHogdcGU7Y4ctSxkWypMnPzLd+utqZNLNlsVhK2eutEp32MhDZ0g2VN4SYMfP57s9jqdjCUMFxCbPrumukvr/3Bx+f8V61emiyKyostNCU6rTZlpSaI/8xlHVQVocZq2PYjL/fc2bl0LER2XXeE9qWhk+iFvAiorO28sx78NYLC3CnVMOdMhx3ypog57kOiJFmPpqw4MRQIKZZ50uX87JCkD7TVKfNdtlpsz1c+ueNXqNfoIKFLtJZvMMv15kKRBUC1MEsqo6z7HNmdVSRlR0Tvxs4LnzPBI2FE1/mrvMP07qwDZdCLrIi4Xu+q/xFmjNp5mDhfqLnrT9MH5RZKV8CvcJlcY3xRSlZQ+ud53hpSjIFIblcW0tNP1UjHMU9cKN2jP8Wk1Kel1LuMv6dhXoeq0spV0kp/U3Qt6Cc+H/F/ps70w9RtZe+gNceAZYbSv73oWDL/1c7DSSXyoH+DMjT9tqhzy0/ytn6BTlVz4TVB46kjh27Sno8l6i4VZd/93pNLtDq0A53nLB80f2PTLjc6G1+vv+xGjXciW2r9b6H2o887w2V4Rl61C4WWWdXcibN9DqTZi7HnVL6gffDysWwU5mHp2y94wnAWn3GjPwgeb1vnDbbWafNVqKmUtO0gsuhl/MSihIiuT67soQZJTEFqG712HV9m13XmwJ9Q33h54EuH/dr2mZ745FMf/7u21DSbbEYNY/ZdcObAZx4oNoF3CmfBal5DGoC0R8FC2c0yG6wFDBHde7c2a7rb6MWv7dRC8RzKKc6/joShQsBLoVeGs21+b3hPqIBtkVYLKZW9701sWtG3++shclFSDrviN2wIGFfRpebttXE7BUngelAc9wpEbhTOuBOeQt3SiCM6a9bLU/31j8Pr6KCQ/2NfUawGbDox/bv/wpAzC23nEft7m4HLjlttm/KkyhclkyVl1VBVolgDUOisFwHb3W0w+r4DKvjOODhvZdMrO8RLZGx8+7a7h08+zOGOufdb7q33xCA0KaN86Tw9QUuOG22hU6bLZgsZyQl1wS/MlG/Q9GHzknlA24L8r1AC0XBeiXM31dzZ+9sc8q6I6NQkOUVFNvW7bTZ5hpzFEWgs7E6OmF1fIXVcQpDknDMnO4xzQ9Uk2afaQ8KEVISlJPGj6POSQjzBOsm4z+OV4GOgO5/9uy6XtC6V1rawDFHfSi50Hjgy8C+y/6cJwZ6IJEnuSbckU0QC/hOKEpwX0cFdF6sjjCsjlFYHWsCe/IO3JkcmibDeSW3o/TaF2xtNtFJiz5nNGC9x1SUBCx/8dFa5yqnhoQB4yRyN9cQhWyBiGJjd1W7fLPrpETm4BTmTAs83Im6VCD5+e8wIUQd1Pq0tdRbD6PKl/4r9l9xpkKIgUCalLK0EskzwAApZQ0UAeXf0XuujE6upmne9JD07Nii2Gh3zaJzryw8EYOCL84BvbKWL7cCoStnzOgYbEBN0/JEkS/DkuWxYXXoWB1FwLpGJ5L6d9xdmyKLJxVj8cyrFqZ72tYxx3/6thWjJRkK3kpz2mwL/C3JDPPD0ndBCZKBBSXtVhr6BVW8LTCiPIMQMhCli+lCSZ0tddpsR502Wzdj3PbLqi6LaJDdgBcPvHhjLdlK2nHAmtX289pYHW9idey1p41Zdvelh5L7XxmKtSiZQ6G7WJw4h6UJ89c6k2ZW9pft1Jw14gDqwa+wNVegGaUHi1ALXO8QGeJXxAkUOngJtcv+lIByHn8pSxD7WSLlwZiD91C+wHf5pmDrp5u/daIVQOK2rO9qFzS4p+/VwSF90u+4mlnNxN7obfzT8p1cEvPVTmfSzJcNGLM8KyFwEMwEoiOqHjQPVUBfctHnmrhGSHJyol3XK6OeqRzUXGU4bbbpRq2of8yaj3SiSmUV0pQO1koKU1gdyVgdr2F17MbqKEDtsB8FaoM8zfB58Pe3fze5n9xy/8y55iW37ftsTY+DczGC13i7/TRBlKZKwfNqob92fA1QYgWezNDMTgKRh0JBKrIQVMBX2vypkiVGqmSOMUfPosox7gUyti6qXce3s7XE6vgdq6MQhWI8BNS4HJ9z/uGPvqHOjom51f/4R5RxX7+KO8UvoeivAsgkiBnathNQXIKupd4Ot4RIr13X70ahBIF9l4+32BC1DqiGune/Mr5TQss4iH2BImD9U1qnfYDV0YdlA5KZOdZiHMMXGD15L8dn7+03f7pMPPRiYe+0YZPfzO0oVliq1sAkadopfa9d1zXAdrhVrrvJjsjQ9/s3YJ6t2XCnzWajpGDHBqLywhn/ZgbbOjcTgkbuECo/1hGuhCGAJyXyT3dbuhETQkSjgpGnpZSZAa+PR6GU8/4TvxvM/ls7067AIENwYQGqz9wyoJWU0h9NfItKdP+/WhmdXIGot6TakujaebV58vCTdomUdl3/ya7r1YEHC8+cyQbI+e2334qjVWPxxOrYiNWRXXOxu5In0mwpijA1Ay5Pf2j9lSab36Tm7gkfWw+9XCMgB7TO+Nkhdl1fYNf1JGAsakEZhspxfuq02UKCwNLfopzhMolRwF7W/KLrJZyiP6+HYhruROVnN8xt0Wxf4lnLP/dW2osJE/3T+l9PGvGaWR0RWB1/q7k4TbEdTeIkCq5s6RO+zDeeXeHpueoLbtv9663AaI+p6Gqm5Wov1KL5VcCieaMNA/y2GZUHe0Uid6LExaGUCLhRA/k3rkHeMYDDkCgsofWpaZr3TMSZwpp5NS3AUon88jrnLrA6hmB1LAmArT+I353dxJzn5ULv+FzUzjmyyvnJax75dRefvp66x+IRV1HBUek5KGHXU+cy8qRrUIHTICO/XWYXZ9guINTlcjWy6/qHqJTJaygnNRbIctpskx4bV10Am9PCYPZvFJYOJqJO5M5HSipvvvoPrI4MVLA5wTjGTBTr+B4glI+ebEnnLXzU+2w4CtY7IpGP+ecaBevVDaY0hUIS3jPg+XDUM+AvV9vEtSYOZ7hOjbBhfkcROH/+VEkZKN+eNuaT4WmPvdg6q9OpGE+lkGMHomJXLI02nQk93sKH7yqqPvjOujsmxFU+/FLcLPtWear2lb7l9OD1O9MyO9NS2rZ3BOEoFAcSdl2/GNh32SfjKexlAAAgAElEQVRk3b+n1Lr56SdreGa1afJ6wHeCaRn7f29Q4qWoh+/7tkOBp8pH1VC76tWs6h/BuWqghCA+BBoL9xNxlQ+/XHNln4MiL9IzgiONxwM5Ry80qGaEV5kAI/X9tV9znrS+tPhYNpJDqMDmj81LqjUuyDX5hNGfFtjLjBR/mmlWh/58saAO3H6W8xI5nf+ACSFCUI50npRyUcDrD6AQspHyv8iw/a84Uynly1LKGobCxXCU7N0dQCUhhF+4oC8lyUn/qvkF2/27MgFs2hm3UwAMOT+kRGmFXdfnVH788WrS5yOicVOAeyO8kbnHww5lSuQHqEDAF5pRdByzYMtnTSYI9xMzUt5ZmHCo4cUDPovvqVK/X2K3afzGTNSCMh4FR41GybO97fP5TgNVLT6LHeUg3cbclGfrUAtq52Bv2nX9oF3X26Mc9AEhaT71jgbRtz+TmebNzgbV1iy4KQfSH6tjIVbHeVT0PjN51ZVqABf6xLtRUX2sOe2pwxNeXmbZ2yJ1emG4Z5Vd1z9HlXa8gFrYHkIt4h9Ir9dfQ3dd0XyBmIYiKf0mkZPgmjYxigUc7JxLl7JUBuYFlvMIxMgVVVeE1c6tzY+bfgzOVi0NY6oHdRAKtv4dmGSS1PBGmN0ZzaPNuFM+Ee4nhqB2XRfX35XR1q7rCcDzpeegnLzuUcp3FGtRwcHHErnGeK0E0SbA/MpW9xvzIe26/ioKDv8I9ZyPa7E5qrDZlsgaLxzAc8sFcozrfQtWx7dYHefbP3/sSNSpfDxR5niUg9qMgtHjcKdYcafcjjtlIe4UL2A9Hw7jWtMI5SRL77p2ohx8E+N4SsPzzwJZJ/6IjfX5ivOdP6Ku4UK/yAVBUiFBzE90AcqkSrpK6zSwOm7D6vgeq+MCkGvCNKNZXpvat10Znt06qrYv25LBhriVLEj6NMKZNHM97pQfT9ZOD2xUsTnoLwd2rClra1H3znSJXBXk/TLwtF3Xj4/U9w97cs0Rz/o7rtL+1xhLaKFpu9Nm2+G02ZoQKFoPGPrcz2fVeXfHzl4vLElr9hZfp9wfZvaZGqFg/Pm8MCmX1/5xxSBEPYM75TBqnUwA5kjkIqnw9HfNJq8o9ISCXcpAhOhinaIe9+3b3wSjTOnkH3ERi2c0NA2eWfml8CyRC3SXkmXAaVrv6nI6ioG3nIfvNvIf6VUqhBCoevgDUsr3A17vh6qjHSSlzC3v+/8J+/+tztRIEj8K/CCE2IuClp7/fx03iMLMIqDqiagT/gXnmjM1Fk/t7n17Y4/kU6VKa5N2dQAhMpQtldbyfeWvPD8mzv3YmTSz0tFHa3QDcMdevZNrLYlKLyBomraFILV/xoLyFmpB8fc7fCFt4sRa+fv3m6rnVp9jfK9bRbkFo/zhHNfRsrTr+o6R+v55f192lGPN84oa7ghJujhhApk//dTZabNdEwawOpphdTiwOo6gItnlqIWrMkbNY0iWpz7gPde/ci7ulA+E+4knUCjCQYlMCfhNadf1qSgnMAXl9J++MH78UwDS57ueOs0tKP3RTEq1s0OpI4UZsn7lnXNpyLsGsHxW26bHk06HzNZjdB9AnCdupHHu5cGYdVB9PL8CbjLUplr5NZ9RO8Gwp4481Q1/7Zy6bv461XeNOXjLPwcopzqhVF53nfG3xM5JIF5BEVwOSGRgsBaGsYsrZf4ArnSg6LXr+tNAzME2OS5pxjJ+VB06jWhjOffBiFjU9V6J2m1WBg7g49LVltG4vm+RgDulK+6U93GnlNkFnQ+j2sguUKBWkHskZUo7/ItoschCEHg+5LclNSJWfFkv5qHXk+ehdhPnKKnsU8zQD3LefjOhAr/inGGVCzGWZcP+tl5ap63iWi3vXSgHoqN0h+ua3E/GNHv6l6whz++7imojFgG8N6td0zxtUVzQRhWlzE9kKlHWIxDjCfKMlLIyztR//OlVPZYvXz//mEB0RwVd7YADyz+v91rh8Rrw4dN3YXVcQjnVd8IKQtplxuSzSjt0BEXOi8CdUh13ip3qF0yYrsHgAvEkirV9EhXw+e215Phz8kpOAkIQgUIJAhEipdKm63W6P3A883DbXIY6kvisS5OIebZmXzltthi6uSawYATmrCjmboYwyX+qLKUr6t7qJYTYY/w3ACV9GQOsNl775D/0+2Xsv+5MpZTrpJQDjX8vllK2kFK2klL2kPJP5LAqsPPnz58HQus8VceHZDC5XM0Oyb4Dr8y2ZHpaB1s8I84XFGQ1iCSiUdO+mZarFuCjIlOhzDVnPwlkpo4dO0Iic9PC0lpTtiVRaTsL1AgmBGEsKM+jItbPvZmZpssOB08/mmgZOaXKdxJ5+AZOcRtgdrlcQXO8AALRDnjjYu2igklzTiUDd4fUrOnJWrHCYpaW83tq35fusX6Qh1pYSpTtAD1wp4TgTrHhTnnecubx4yh5tBrGuG+igomgsLxxji9jdIbxZWZaii5coPDo0X7llfEYpQdLULuWvhJZOge21Pj7ENexQMhbIneavaLu1NsbWB68r+g8PknCzsyUIDBmFtdgzBDcKXVwp4zCnbItyE/8DHA0+ugy1A5urKRkfbQxB+ONOZhB8FImv5hEMYphzO9rBA/WghJtKmpXh9UR3yls6ARr9Q4331xwJ22zuuIpEqzL3WteHbdYnAw9sgHoZVzvZjn1Ihao9TxArzWI3dyXGf+sCsNOoUtksN2Hf2dZRmQjEJ5v3euCLzvLIvp+m2Af91AtXh9aZ0pgHlfTtB2oACL4ve4UasefFVWA1TH+18Epl/dqL1W70OItBqy19UTlD8/h13++JkH5YoAEZagllAK70bM03Vq0IaRAhI9+pRrf2Jom+wlB5VgZwQf/s0cFz4hhIZS9nvMwgkCJ/Myu6xvtaWPu65rRd421MNl7NS28wU/zrOy/mNmkiMJoYPeL/1iyI+HIC/Rc8vGGfgunN8Kd8lUpol8xDC4QTVA6xEWUyplLiWxXd2dmZm4sOB7fjrqfihGiQJt4V37UxC/OMP/pi6vMPpEB3C2R6YPtd08z1TlC0ydeJ6kAXv2e0f+J9mpSyo1SSiGlbCmlbG38t1xK2UBKWTPgtXLbPP677S+pgFSRCSHs8+fPbwbQb2w/0X1jfVY1ejymoPIHOTV/dkd7I0yhnlBRZvFM6xE/BZNg36v1mwdG9KidRwTwnnuPK6Jedl0RVRT1WWBLoiC2hes01rbreoFd10c/tk7/IXTEIKwnTAyYmzjCabNddNps19Pc9OcHgsKmgbmauPSIodI6bYA9bcyjXcKHeqzPP0+cJVnsj94V93Pi/PC9kdvOFZD/CGXLdkrbVsBcI6fGOlQwMaSCYMJ/jkV2XR8LxMn8/MyQGjUEQpRXxuOPgl+XyGAOzL84B20WHvT308Ycmv++yNz9UDyJppqyynFRvfD4cTIq5cXmidwQFNHED2NWLgVjVmTfePFSI69GLNepnTPm4HFU8DSPgFKm1LFjGxKAYlTQP9JvoQQn2oBCEWK2z12RiNVhx+pYjtVxWSKv1DtTedxjc7uK6mkJeU3yWq4aMOSqr3L13Fx36AXT5rg13Z1JM7902my9jHHmGH/LdSAC8ezRGFrcdwLm/Fbc97aEGaU2wR38tbnJadz5ivx48RHv/Gcu0mRnFPX3R35swPOBxKwzlKwRVpKEVscDPD/1V6Y9Aa+81RV4s8uOevGFIR7pFb6VKIJRCO6UWrhT7sedUkZkwzALxryO1Pd7UtYdafvE2iNkxnl2CEQxIchps5VGS6CUMy11Da/3jJgpCU8PB0YkXoq6XFj1w32BhKjaBQ369L06WPSiW26i1cOe6C0sTPoyZOIt72a+N2ZN+5zoworUwUxArpGT3mD8/8hgtbv1k47nH63khQfm2FB13WXOWSBen1Uf89BTeH5+9NKtGOmdjESvHOpIinH0asjtO49Q6IPUdOL5H+lXej37n3OmwFtr1qwJlVIyYktvVt31GH3yG5s9+MJDrnrOyhAT22Y0fiHI4jnb+H7xQ2w4vIeAxH2dsvWCAwdFGOHMtvcfdp1odaHxt8IcoUAMy47zDD03MNlX7bVJRSgatxVY4LTZTjlttvIch38BC/Zw03lbna2Pft2l0oHO47PTG72zBEO6LWF3lgitW5cqo1MORnqiX80z5+To0Tur/ZA0a6YzaebU69Rr/gDQOLtxNPCpRN4w5dyu6zmhdeosNEVGEt68+XZKlfEIxAcotu92iXw12BiGolQ2SgSgfLM6mmB1fITVcaggxONZeu+Ynh9MGsGAswO9fdIHnyb1ktdTJ5EfqzkjnEkzs5xJM+cFgzErsh5aj/4HYg/Q6XInyQ3Wztl1Pc+u6/ei4NSfMeYgd/duZFGRH8VYg1qcZ5QTrBUv+qXOuUvN7y9GADT46pwb5bT7A5Guzkev9J8/kxp7Xllb+fCLkbhTbo2wHTfd8uDJQxhkF1RK5Fenzaanjh0rqUCiUCBswNQoD94Z28FSsTj8dXvAvtcE86aa0rz0kcuLzF5Ri2vw/FKnzXbEYKRvBkw1fkx7EqvjG6yOs8Y8zKYwXCMvgtwmh9IHff2pr/LBF70d1rzbxJz2ZD/cKfNuIDCCkk5tAxB1Ncnz9t82HepgzNEWY47WOm023VmyZ6m/3tK/M12NuoY38oyo37U6Ig7d9Mq4qRPvcG7r+3fcTScnhnjNLwItUMSmH1E8CkvV8Z8t6Pm3fVStm/2+xyxzGu+J0t4d2IC37qy3ep6tWTByGlyDwZdi8AkkcmGwD+aYCX/m7pNQEAa9V/9aGiHy96dtdhW+3MoFUCjMSH3/scfXHbbMeiFNxl0JxybXs+ztzoiEOvA/0q/0evaXFLqvyIQQvpBIxIq5iyi6eIEr06ZzMreIqanH5eI1axqgJKZWaZp2a+nvulyufCBL07QSdXYC0QbYWfNyUtHcP74LzVi8mOzVq0HVfI6y6/o/S43jh28OaJoWdPEXiGSU3qh50eZF6xOKEnoAttSxY3Mo2ZLsEEq+r0SLLZfLdRmI1DQtAqujDgqqHZATUdAkKi/MHyR5jWNchWrlpLtcrkLgkqZp1Yz83Zuo3VkYCgp6G3ittERhuCf8pUVbFk3eU2lP4bgW4/6M8pD/eHuhIvZ5qWPHvmycoyaRbBqYweLHLuVeqFdYuRzGpH+MbShiVZwBbYLVEY8idA1BLT4RABIpl/fZL1b2OCC7bK/74PAl7ebiTpEul+tVYOLlTz/Nyt+7NwaV01wMPHQjEoUCUR04kXI0JeSu1LsQiARN0yrcoQczQ61oblT37j3jRoxA/2R85qvvbIt11yw6JJFNgn9JeIEjPDXtVhSTeCBKqi+kKNrM5tnNSF55ObfR5+fmADOF+4kmKHb7JaCqRHpxCmGc8wbs8mbjWFqhAq6WAJWffbYgtF69EGEylZAoFIgQFDs2Yfo2vh97lLuB+7FLP1xdwvxzDTyladrHQebywRAvs1pcpWhXImF+yNEg2nyDpB1AtaT2ReK1h0MaTztDVddVuCZJuJKh83fKbptnNb2N7EOViEaVlP25PJlTSGCPsLMc1b2kTKMKY47mou4xUCmikfbx+z9HsZlNws4LKK7AEYksv5+p1SGAgQxe9BPbOhbJc9VDBAKvyUdmdH5BfGbkNtR1m4U7paQ4g1MsRHEaGorhLG21Kbrx6PHJRXGXQ/zlQR+iWuRJ4/NmwLPeyhGtLw1Rdfh1yquvvveE8M6ri4l7FnhYOEwCUVIqgpjBML8IxOg/42uWxVGemtb8UL2LY74ftOeDm39rYOq2tR4SydGog+yN38Wvpkp8umsVgJRS/i9u3ortf9GZnkQRUGgdFcWoatVICAlBSokQYmk1h6OvMJkyNU1LKv1dl8v1B6W6ghiwzUVUtDlwnWvdYl9hYfr5p58+xjVG7X7gfruu7wwYKw2I1TQtvMwxqqTUCeM4n1jnWleAan/2tqZpLwE4bbZmqPylv9/pHmCkXdf3Y3XE7JxSf2d2/YiGXR7anxOS7YsCpZu5sud+1nc+6hu+uN29rfbXWFBaicXlch1BRdtm/0Jp1CF+iHJKFhQE/g+7rn9sHG8rYNeHez40tcxoWdBT61nmnK5nAd1rTmmaVg9g4r112qXWL9jW/ac4k6VQIBD7UP0f95YzxiRgXNVfr8xqPDO1Kmr3lBDwkQxgm8fsdUacfuY1T6isBTwhkY6AMeqg5n516tixC1FElDjUAv01MMau60GhVOO6nQRqjd8//pe+7r79gRRN0/5l6v8Kh+PxiBYtHO55s8jdug0p5P6QIpO9xBxYHVHAQ/RZNY3dbXxctgYuShdREPls18LmCxEiS9M0a2CwBtiK6/ycIhHlXH/BLgcEHouxC5wV2b17g/gRI3C/++6ewuPHB9qNfpwCpekLzJFOslBksQHYg+/AAuda07QSKItA1EFytHYO5rVr2FRvsOyG1RGDEnK5G2idY8qK1KN2cSziIFWnvg37jnvrf3zs4VqF9ecW39dOMWxmAxaMVRnVFRJZYTOGMmYEF1sS+L1zP1qgdqhVJTJoYOW02boT0LO0tu1qdod+F6LDHva1RpHkCoGaZQhZVodfm/oW1C5XXcOobPlbE3fGO0+sidvd4sz6k7WulCj/CnK8K4Bb4+7i04wwHgM2z7M1uxl1H6egUgHX+i6P358EXHi+NfLdZnhQPZuD9nw1EKKn7ScodNaTfpGdGVLyuPH+FuCmwctaLFq8NG4I2zsWcaqOBQVpkxGTV3Q8/ZKc8sHq0J+H/kHec0WKZqbsL9+v9Hr2v+hM7aj2WZH+17pXqlQwKjm5MMRkiom7914iO3Ykff782Du/+KLEA+Nyuaaj6vKGa5r2LYBAuFCR5+cSOdrlch1FkRrMqWPHtiQgoscfrer6YZfLtRL14JRprC0QX6OYaKsl8haj/jIT2KlpWvvAzzpttk5IZgONBSbq5Tcuap3dKSTXlsjvr9aj6XunCpJ+y9ySG174Q/zRF14vDPPGoWraglLSXS7XLJQSTH9N00pAiYYazOcosQkTcDk/3Pv3UTsPvQ/Ez906d2/N/JqtgLpGf88/ZS6X6wxQ1d8wQCD2Ai1bro/66sUxtTtxDcLdYsyjIqRZHV2A0XmVQ27Z9kmT5LrfXKDWj25QO+n9KBjsE9wp/rzVXFS+bJVEVohAGLvzv6N2UFEoYsZ04O92XS8BEQaOu8617nFUDeRKTdPKLze6jt159s6w0SdG52+OXkfVZxafjneH1EJClC/mUI+rt52q5I1vg7+20OSFuHQvVypvRKUSZgfuXFwulw4002P00MfbPn4YxUouEUzgFE1QJWgLsQdvLL1s4sTXo3v1euXKnDnkbd0qgWVPrTiy8VLNoimoYKKedDIHdQ93wC53lHd+wdAeIyhJxUfy3i+r0fL7vhfY1d7CtbIPMJ4HYMEPibNPRz/9yFJzfLw57fXXQSEt99t1/eJrv4svJtsYFV9IzoUIKv1plR2niC80caXB7XjPRGEGeklk0IYXJb5ms92O0havHhruYVv7vKLpb6eG5Mb5Bknkz1gdVpRm7WDUfe0PQCVwlqisrfx96t0LW6Zvv+dmOhCIHlR8vBt90NU8HDCRCST5oVijpnkGSpPXDFyNr5P9cf+Rpyf8rT182ogRErkg2LAC0RNY2+4ybFjNkcgRsinKKYujcXNabLCv/qog3NP1zmWtSLpslIuH57K7wZXMd55YE7u7+dntBxtd6CgOiM00pTO/oKRqlOUCj/6vdIcpz/7nnCkUO9QS/U6llE6nzfZk1M03vxs3fHjIxcmTvZ4zZz4DnrLrehGAy+XqgoryF2qado9API+K+I5KZEPjM7NRN2uxM/JH9Fyrg3QlTZy4JqRKlTeANzRNm1B8bIi7UDnPy6jOE15j3KuARdM0lYOxOtqh1GP6ALUzzemm36N2cDr8KGZpIVFUP2l+/6k6pvDwjZqmdReIdShRgy8l8pHy5sblcvVD5WZna5oWlBlr6JbOQcGIYlufTLbcmrnq7aiffkExASdqmvZ6sO/+f+y9Z3xU1dr+/13T0kOATELvTTYdBBRwA4IdrKAOYkNRNHqwAFbAdgSPnRFELBQZEbGACCqCDEXpIDD0DiEkkwTSk0lm1v/F2hMmySTgec5zfuf8fa43fiQza6/ZM3vda933dV9XTXC73UF3jkv76/3vQKWXt0lkd+O6A4GPkTQXCJoXtynolt/XZpO2oIJP4PeZ7UymMlnU69H9vfCm7Kp8DYEYhkqRVbi/leZRJQNhBNW/oxSEIqjkyhNuXCNQhM1yXCwEYvXru17XO2V3CFx327FZWZaMIXujdzQ4EXEYq7TRukgLtC3stD8qSv7IxMlPEFX8I47wpy+32z0dGPNa29fcK+qt0IFfJLIiKcUl+qFUtD7BEf534na7zUBpWXZ2WvoLL9iAxHOJpSy9LyvgbeBrs/mqvMO4RLCO1wyHPF7d56tyr+3OHh/ct2ZhQm5U85uWdySmsDzJ4UMF+SUo96DUSuMsA65Ne+YZbyA31w4EiqMCy8evOHBNRETAPGsjL143QL5a890OA5do93RX9r6laFJvS+RTf+btqa/Eej2/JyZmHo9BYKJlYbsz3fP7RJqxJIS8LBtF4Psc+BJvih+X6JpnYVuTGwmcU0WTjhJZxeihMgq/FH/4THSqPQwJ9JRU3cgYso3lvssNWuWxZXjmmadHFIb1PxWIOFT6PurId9A82+phwtufrfPVfypC+Bv0sGYggLyYYiKLrelW4f+N8VNvXto5Y9uQgXRDteckGddbQDF5xJH9/ze/0gvh/5fBtCas/uWXy4XVuj7n22/9+StWmFF1hneA5xpOnw7qZJLaX+9/Ayq1WkpI2sbtdl+L6sWsEowMBuKHQCOsVtngnXcEfv/W/oMG9YByAeoTqFRqJ0M3E4C1P63aFLCZLr3svj27bQWB1qgFHdRO9gSqAfwjV9KMpsD7QJIpLo7YwYNLRz72+qRzSf6/A4clskYTbyPd6gcO67reuqbXNtkb+dKlq+ImDvkkEVuJCSyWo0kvvtjcarf/ruv6n1arcrvdI4DP98XuW/Rw94dvQ+18k6V9GqiWl+FA17PmzNhdsZs5FXEMa8BGg5KmqVpBt6cSAnUWuhd13ItRJzR6istRKbVZ7eIUkoEYrut6BSKGkfJ+D9UyZQFy0xv5pj7506HJlcd1u91Bk2hL5blcEHZn8qwR6+cUxPiuHlA6hHPXN+fy+/ZgzfNL4OSxiAMHN8Wt6VxmKk0EpC2ybOXQRw8NskUGqj1Rut3uvsDa91q9x7cNv81GnXQq6kG7xC0oMtlbOCp62VYaKx1I6K/3j+62MvbckE8TY9vsiAaVqp81fMKeNhYLVwLROKqvc//23S+zS2tb7+nw2pHjdbcX1EelITlbq5CEMn+6uHFxMrWyF/DygZpcm3C73UHbxL+nPvLIEYn8h0DU9pskcT3OcfVl6bdHjfYvrGmMcOibIT5bn8S9PTM5uzFR1rnwO0Jgdw7IumXxT+YTTa25exLYZ9tOpu0M0f4Ymhe3TW9f0PU9K7YP8aZUqakXfyGueqA3P7magRT8TSKr1JTDYeFaUXJ5JrbGNzNJImvc0DY8GPHEkGVxb185N5HSYjOoZ+MBh8fzS+jrTH7xR8e9DTv9Y/KNB646QxsOtQa/BSlhi9/OspG/sMKxikPNvUPOJOcuxSVaFZo52PRGAplqL9QNdbI+SuWywl8If7lgagSTUinlqdOPPvotirhjRS3sLzWcPv1RiWw8oN+AHEzUplLK9GKCkdH28W7i008nCpMJ7xtvuE43LXlg3LLDHlS95ElpnzYdpVhzB9A9q2tsrd3PN6fT5CPU3l2QhWJZfg4sCsdIdGnaw9bGjZ2lJ0+as+qVsmRUpj+1ZUnzPb0KTlZ+bZh7cBpI1HXdVt1rDNbmTqDskXEN+vdZlvAecClmM9G9ewcK16/vVl1ts4brRkhk8U9JPwWWBuaYvrn3gbWtjyW147xEGijG7jZg4aLEz6TPVPwqqjHeD8yr//77AZPFcj9ws67rQZnBYOrwMOr+PiGR79Ywj2AGYqGu62HbkAwN5Y8k8g6BMO3sk8/BjoXzvn7Me3fIOB+isge36rr+TbhxymF3WlFp0TuBSyWylkBQbCslp3NC4b4JLaLrbM79tuPU48NCv2+Xpt0LvAXUEUKS1LTgYPqx2I7h6rrxvvjkOVvmnNlVaxeTtEkdQjdr5z+YeBBVn38BR9X+wZDPthy45q4ed607FXOqryhj/ued2+9HWVpFCZOU7Xplib2/J5oqkNXszijjc94BdC9KtMZv+rAdLT85jf2X9OxXnlpee/mVe+XBFhmtc5eW9EGVSV7BISeGmUbofIKlkM26rvcUiLnXf1p35HCnXVpKTAJkGQgnYdLz1UEgepoDbOh4DrH8V6bVu1U+XuMb7M5WhPHkLalzFpkfe9jmM/+wrM5Cci1nR6PSuuUb9cqEvr4ZYvX6JPQr0jnmTpY1mWyEzvfdL9bxt96ZyGY31UzmMQzqD/RLh1+WmswrXU2Pnz0TFTS333dJfpcpXQsv67e/ZfqwhNyo+GSvYcyTnAbxOXkcbPcuMFN8s2Az/dbX57N7/pD3zVakLJe4fFQv1n/aAhA8g8reHUNlAiuWFf5C+I8LpmEMxNdy3m8wCdgkpbx4fdkwcLvdx4GGuq5bjDrDDFRgM8dec42v1tChtjt63cGZyDOfSWQVWyS3250G1K0pGAH88sUXxyzJyU1PP/kkhbZi+ePoAnHl3ssyxsy9wo8Stg6isLiOZd/Gme26iVLpvmLwgP4X8zlW/Przm4F9h5/avcJJ/f2ASpVNAybUtKC43e4lqJaOTrquh0uVlrM2Uf2O3wG4NK17ZLdua4t37IgiEACVurrL4fFc2NDd7uwMjHG/W/+hCBlJ7yeOBv9Sis+vkP8AACAASURBVGIsL0XVPaukDF2a9jRKdSrGnJxcVm/SJIsMBL7oP2BAqP5ysBa8SiKvrGkqwQ0VkKrretOaXhufaZnf7/sEx23T7EQouZ9U4CGHx/OD2+0Opky/0HW9Yh+dYmwOQBFqdNT3LQAksvDju363fTV0m+VMUu6IaZlf/IBKlW3SdT1sS8qqG5p+mnkq6r6yUnPwns0Angx+z8Zm4tDEPRNb9M3sK23SVk4wqwCXmIBKXz+CQ86o4R6NAaY/3/551tvXlzNAjfapN4RJPiEDQiApqO9rskDPuTbehKkfSqg9iIIA/LHOpV0mzaT2HzhQoLSnlUG0SzyOygI8iUO+U91cQuZ0DjD31/vfi1EqKZ7Pyr2r7cP3/JboA2GjUnq+urGCzFRTgLh9P0DrPCbikK9UeJEiRD2IIkR1JoSHEUCemTx+WZ1bE7fakuK9ufVvlcF+U4x79CaVNuqGOhgCcZNJ8u3AM/DNGsbH3S7/caHPLhADgZXLfkVelUaR2SFjanitQAmwJM/cyFejDzOM443Hp08b0XJf1B93p0WcjAJB6yKN5Ig2bOt+Rg5a03ZOtLbjO+6e9x3wNQ55m0A8B7zGfIfkrvk+FLPXf7lXLP/dzjV900ldmywbhXAJVkjkRfeB1/h5qzf/fgVVXgiglO7ulVL+j6w7/1X4T6QqVzAQl1L2C6pZoE5rNZ8ALg4bUApCvY1e0vtRfX9fF+zdZQOYPHWwnNPpkh+qef8WwOp2u2t0uo8P1FkuzGbatL65yF5QV9zyTjxNlp5OOmE7khwgsA9DdBpvSkzk/oe7I0SxtJk6XOyHeLDn6D6R7dtT+NLtp1C7Q7g4S7Lgie7uav4e1O2cHQykAA6PZ2vdBx54L3nSJCzJyZkoNu1Bl6b94tK0ivUYuzMZu3Miduc27M5iVMr8Ifv2QkoaxlCYbP0K6GMo0nTEm/JsuEBqXLdcns+fnu735+RQvGvXHS5Nm+zSNCEQN3HeXuuCZCAjyKQCDcOpVAUhEDflJfody+7LyvY29DWjkitP6mOPSUJ1ku3OVtid72B37kMFvJWok2gyyrv2PaCtyfv4htHvfGFZMWD/Zzu1064aFYwMDHScWH/b0/tp1CZ3NeqU/jhK3/kl43v+GGiRZ8nz2qRNUI12M4q5DGGE2UPxjPbMxlJRSo+zPSQhSjkOj8fvyBjzybDu9XM7R7QkKhATkxZxYtSvCd8PS7ek2lHP7ltAS7wpsSZvSh9pM50stBY3RNIQQ9nHuExNurbh4JHI2MiySBfqvusRgrguA7xcedexJlSvNBUOvwJxt55kXes8Yw7Ku3QYduf3oZ68qHtZiiq1jAYizd7HPa+M+9GWmOAN1C+p6OBiiL48gfrNfoY6pb7h0rTsd65uNRb40hpAfv47xPmrNyQPwlAHWwrIyzMpMIfxbq2E7yylpuSHP+2zbfTfHu/Fu2Ph7XFvJJc2fEjPvS7qmqxh5xL8dQv2xvzBz3Ffcjzt153fxX8ykbvnBZ1wco12wFeBEsZN/RRVdpoiENduTOSafhnww2o+NTggd6G4BH+OSV0zqjP//kdQ9ci4JzVmNP6d+I8KptUYiAf/FgcM5Hwg+J8gKHoQqhuaM8KzZ9KoBasCJf5CGlvbCYtfLHJp2tEQdZggwgcju7M2ducE7M6N2J2FXV888jBAfL2WUXTWaC46H80355WtS/jJtCBpZmNX0ozThuh0EDUJn1eAQDx+POZ470xbJv2yr7A4PJ4JqAbyj6hoSTYmzNuDzjNVTnAhup1HUQ4flTHHYreTPGnSZpSmbBpwJZLUH9sM2FZif3N1iFfiS6jWnoKjjTN/7/HzG4weP7MUk2DzB+124E2pTjy8CkLl+QLFxQW2Jk0EMMlvkrkd18Us4rxn4oUWmiA2oOo7YYOOQNhRLj4B4Irx3x8+bkgUtkVtplpS5l9b+sceac71NcPuLECxe8car0k33j8YpcLTDm/KWOF97DrU7/goSkM1iD1AnNvtrs7Yu47JBFcMO7UI9T07jflPLI4KFLTfEH0/cHZw+uCgV211giHBE1RmdTdGIMwbEjf8uC9uH1dnXF0i7dMKsTufwe7chN1ZBHgsP9xcS/P2Y0jWHaebFrU6kWFNkyvrLDG7kmbUcSXN+B1vSrk06J7YPaejA9GiaUHTcyjjgCCCgb3auYTCj/8ngaBtXlsb8LSRxo4FSG5alFGd0lRltS2BmIjaCO5ZOKvdITb0ghdenYTK7CxEEe/iMDx5gQZ4UxLwplyJN2WW8D72EOrZOdqgCEklx5ogKm/UgYTkUxHvPPloY9tLc2P3Jqt3XcxGYh2qf/rVWqWYCCMpGTSpWH/tk5sW3zV6aE6LfzBjwh3dONyqCX4LxOfsxjCpSEifWPva/asPjF9ymJy6Zbl1062dgePfz2gxraxUkG8mH7XZEMCtpDUaA5QSnZ+C5BtzAL5YDydjKAGCG5t/qV9pDebfoRuXKpaE/y9hufBL/q0I9jaFs+q6GVhZ6Wb+s6hi6WVIbbmL4v2mkoiy3LjevSPPzZ+/FbXYrnRp2l4UHX8LykbuYwLySuxOB2pnVqXn0ZrnX5cbyB684cFUnuk0a5xEvnm0In39DZemPQuMc3g8n6CEzzugdFGrZb8JRHsMfc240riTAtHc7XabDVbyQy5NexLlqDAMmO7StJeAxx0ezwJQ/qxut/ssatEPOy7VGGfrur7P7Xb7kLKbI2NMLrA61Xrs2r0xfyRk2E53XV53IW0LO5W1KtI2W7F+BXwsvI/5UMGFbtn24SiRhGv4J1RRHB5Pqdvt/hG41dqy5Y/53gPXPPNQU87VLStIyLJ0w0NNHqKhWIQiPI1AKexUxu9UNFgGu9PsYExXID3HdO7cvpgdCen7PGZr5/ZsaLY1QjvR8re4QMKnwOfhTNCN+/sWajG8rNL9/Rm1Ax+BCpSVEfxtZRmp3cdcmja+INY/uzRCDn9+VDN8toDpLM9FRL/7LlSyqwtBFS3ZyjCXiiWd9zSyt94a5YtqHhVZZhPZFl/5VM8CaxjjvIzWB0yWkYGGfXiS48o8YQ6qHWyRS9OOAw+M8OzZ27Z12x4zt89k6u6py27vfXvognvBuYTi3h73dpizZQ5D0oZk76i9I5gWDvXVxOHxFAF3uTTtMc4z0j93adpUYMz3r0SU3WLtPPmGnzvIe77s2QppUu1YJn8iqu73C4pNXNl7Gaj6jAiV4ajRncTh8eQAt9U9bfm83/e1R9z0YSK21bHt12u52CLLml5ag9CeQLyJWhO2SOREEBMIBm+7sz2qhns1Rrteny0tON4om4CQh4DFPPdKO5K91wPDcChSkEC8BnRNa+Hb8cSPh7q6NO0O4P287MgeSz5oxdqbzt1v9nlj/DY+ksgfkCAEn/LOkw8h4JEDuBsUoV96NY+jnpEnLoaJ/M+isvm3EOI11EEmh2pU4P5f4D/mZFqDgXgQd3L+RPU/QjWWXstRO8h58WXxG4TZbGs4ffrdqB7SnagU3Obv2vba23n4ms9jjhUFYo8Vd+W8dFsMijgzCaiHNyVBeB87trrhOrrmdGW1e/U7UL5bHYUi1SxCLSgfuzQt7dyCBaeMudSki2pG1elMwIgIGeFG7SDL05uGJdkdqBrzMlT/3hehlmTALiDa7XYnhxs3nG5nMI1Ze3se5sJAshQqjdmwtFncoHM37u+Q331NkamocHvc75avkj7u4kqa0cSVNCMXlR6NAd7aWmfrd6jFp1OV8S8e3wCsf7NF45RfD7D6prNZCVmWaGCuS9NSjR7ACyGsRyqAQHyMasp3S/u0Ndidn2J3HkctoAuA62sFEqJ65fXf3szbeDVAWvuA+fvELy53Jc24w5U0IyHMmKH31yGR6ZVeEtTErW7uVU6UDo+naPTG/V3H/nyQPZcWeGw+Uzw+36fF+/cHAkVF1SnwGEwTMir8q93ZF7tzbmqHV7PTtdev2zpoPD0WWWzSIvBeVusE8AKQhDelDt6Uq2m3X2KW5Sckw4/zGtSi/hvQVCJXPPlo46NZeUctfvzUK6lX2bs1OJcLnkwFYujJmJPD0iLTGOgdGCqbF9bj1eHxnHV4PEOTfPVb1S6te8AkTQ2RLHlsXNNlcx4YLu75sqcwSVMuXbadYsLfYeq4rnhTWuBNGV1DIA33jAguEEyN9w7JbuAfsfihzLNn7WVt6zXPzzq1P46DW+u879K0PS5N6xHmPQNQZZt84Arszrrs1izMvtcezBCghBpaSeSZSeN/KGqxaTLNtk+6L/bEU63xpjxNsje4xqcbY/ZFkcgKUf3zBH2X2/XKXOSv5+PS+fYY58A2zNfaB9ntUBQRYPQscD4SeHur2P1ZC0iLJgnFUaiW7Pc/RTjzbynl81LKxqi1t6ZU/r8V/zHBlPAG4p8DCCHqolwjqqth/jMot/QyUpuDUdTxewjxh3RkjMl1ZIxZfl3W7UeaF7WRReaCdj/X+fqmsl37TfnNIilKtM4BuuBNicSb0h1vyst4U9IFYgjw4LHoYyURgQio5FHq8HjyHB7PMKABygYruWDNmin+vDwCBQVX1DDvH1BBP6ivGWzCrsJKNSzJrkcpLa3BcKNwadqBop07gye4YKq68rhBr8SnsTt/D01j2n87Z/PHmMnsGbeWkDRmp+NzdSkCscBrqAUupSDOX9z119ju+NklKW/F2I8yC6+WRHEBfB0ggEBopZHy3KzX0uoDjVGpqQbAEpemHTLUasLC2FB5qeSRetWqdvfetLTTqPkP3eMP2N+/HLUbvs+4d0dRafRuxvfd7WxK76sA4q6//gQqtT0ISHNp2tcuTasVMnT5Zk0ivw4znyMo9mfXyn8zEAw8oe4kM4HWpZFyzauzj3VA1XNX+vbvN5mioqwLevU67tK0ypsFlfV5eWIMdudU7M7dhpj6WmCkSZpqr7hiH2lJOXML60VcB3Dgscb78aa8FhTFMBDWwcbh8RxzeDx9gE4Huhae7bwu1vr2tS0pO3ysTJaWVm7bCuraVt5YVICRcv8KCMSXxh8yYUo0JDshxGAbqOLJO+jcTYevPTu8zU2ZI2nsb8PxiIMsqTufLxM/8riSZgzivs+20yANbKUXk2qu+Iy4RJTx7/kXmH/d4PwB/YmfDx4Y6Di5ZeijBxEmdmNs1EM8SxGIOHOZWNp9e2P2XPa8R9qnpQKZzHrYxB9dIlFEq59RXIEIk/fxjS+P+zHqaPOsxRI5O+TywXt8TiBiUL9DAVxXWeUpa0RGdsqC4zjfPRGIzTEXYfguTxzZ7EtsvjGk1i9l7Huml3N735DSAyLLyOUiOAr/LKoz/w6Biwu4G/078R+T5pVSPovaMSGE6A88LaW8y/jzMGCplDJsbeKfwdq1a9P69evH7O9nH6Evqt3FzGXSPi260L4verOzLfVXZj8HvAiQ4K/DZXlXZjQrbnNoQ/yvbVOPra2baOrCzwN39ixYvfqUI2SDFPLwyKaFTR9BpVxvIwx5yuHxpAPXuDStGTC/ZP/+yyNat7a7NC0oUbglZNxHUSmdE5yv965A1Q2q7ft0eDwnAd2QKJwHdMv+8MPWMbpOzIABwwSiELjaVCZOFDd653v8zqWolGOoQHkOilDzxVFHvZPAT3vGNTuh6/ovla4lgRdcmjbpROuiBZFF5tueTmlCQMjmLqk94fB43jHG6Ypqn/ik2i+pGvTX+8e+v/19OuV0AugvkaV4SAUGujStDaql6FJgjUvTdqMYx+HaeLYDV5274pMXEvYWDSozBbovE4/EWvwmAkKaBSIbdcqaDSyuLM0IKii73e5Ma3JyksPjiXJp2v3AP1DZhRtdmjbvgd/27qRWhc1adTgMtHe73dagmEQIKpziBOJ61GKXgwrgODyeNGDQz3PmvAy8aG3WrEnJ7t2rXZrmiS+rPfqG7Dt60OW+7mTVhSz7wZCx0wMisO6yZW8P3NTteG1M3C1RertH3O7qAryZamqFACM8e9oDtesftuW8MbRlRvHu3a0jWrZkQZ8+GwPnzt1m/CbVQu+QBdWNY6A85R7nj2uG2gDdgqpJR3Iu3o/d6UQ9G82NuYHKJOwBlvX9ySm3dj05rvW2qGOTRzYvkEgN2PHDzBa5Vww7QVydsozKFw1FNc9eUKyjxmCK+g1FAOMlMsiej42K9XPns3s7uV5r3wdFVOqOZO+qVlen/6iNrtNjbwtr3bMxoEpIxcBWHprenSbHNzG6oJz1LRD3GPfjDJW8camQBherUff8LYms4AwlENaGl3FPng26N85/2RQQLwNvBIR8vN22mOGvDWtOkdX86atReQ9Mu2l/0/hSMF1PQdqvDENWX5L6Z1GD+XdrKWXwtzsU+I/pZ/2Pa42BCsH0BuP/VwNTpKzR9uzPjO+Ij4+ftXjx4ug9UXuYHvcKz9x9VeDWY13yo4Q1HmD7ay3w20z0GHdoDSowVhCd/uqGG1LsTz01LW/5cvJ++CGAerAfdHg8BQKxD1WPfHa1e/VUFDPthK7rF+wnW/nNN8ssdetee+bFF/FnZYFKHY8Y4dkTQC0MASrpa7rd7lQgKSjTdyG4NK0nMAeTqR1mMye7mGnj68SNv3STJimC7NYSVNF/MTADb0r56SGczm6Ve2y0Hph9xL06rMWKJociB6IWueyI9u3fSUxJeQVYquv6RbmuVBp7/93H7m5z3/H7EIgmuq5X6a01nD3moNR3INjGkzHmMKpP8D7vpXGD90xoFt/h9WPU3ZrHgRYZ8qsbt4mIEsv3T08fdGcVkfFq4Ha7g5q15TKLRjvPJCA2vZGPbx/2BvZ3L2iS3qQ0rC6qMc50VA3sNl3XK55eXWIVqj5kEw7iUbU6G9BdIrdXGqcuUmaaj2QeK3p9Rp1Ma3q8CRNtCjtySVFnIhtnwPFmbtRvdjbelCKBWIxanL6WyNtCxvKg5PBsFQK8Et0/gENWYSCHE89YNnXq9JjevcdkTZ9O8e7dElh+65N7m0RESQ1H9T2TAvERqj1ljUTqbre7N/B77R15uzq9eqwEe0YPvOUCVEGW9mrgI7wpa40xuqKkCX1AQ4nMMuzUPoFgj6f4BbV5rVLeEIg2hHv2XKIHsBmYg0PeW838g9/pWok8n3Fyie1AF/42rbnx9+uzzZltPTFbLScjj2AN2IiJbRDQj/ebHSNj38WbsguXiEEF7p9xKJlMgWiKIi4KoI2kkie0S+wF2ggHr6KYr7skskqJRaB+X59ugPuO0AOHKrdZfcJz2bJa7e97pX4gothkOtGilM8mn2LauSKGXAO+sv8dqUAhRF9UtmQX59P4z6FIe22NfzsOPCxleK3hfzf+I4Pp/zaCYvi//rQCs1/Q727ViVMq/ViF2QMsXTe3/dX+aHMXoFpXELfbXejPy5NnJkwoQ50cyn69+ez+T15K06SZ9RLZ13jdCaCBrusXzAS43e5bgK99qamLva+91h5oLZGsHH62dMETGdai+EAVfU232x1cCLvpur493LjlsDsbozRDh+y4y9bhmHedKNy+FWvARrPi1oXtC7otMh7eGseprLNbGQKxEZWaf08ixxoShbNRNUER2akTcddee3bw3Xf/KdUZgfgQeOiG0zccefrg0y2Aibquv1Ld612aNsASsMwtE2WNzJhpV9hZti/sKqzSRplNlK6fp1njDheeHtHv/l/3tUsfAayTyGrTw+HgdrvHEkZm8YpvE8xCknvdnLrRjQ9FQg2uPMY4wQXkS13X76j4QYRyzHFIEbJZe14iz5O47M6uqO928NYpLZubSiVdXzxCruls6ab4NTLDetqGgKQm+TLjRGzDYOAQiPtRp4DTQKNQYlRIgK+oFqWcVrbhkKF2ZMEexyMoXeByZR+DpZztO3HioHfKlATAbo3w06GvV25fWS/O4fFU2bgYpZIl5jKRc67FP8bGFkXcAfTc8GHb2vH7C2n/zkloegyaHfHhHvgAsABvSmmlMSoYVUhkhVLR0WdrHd++MrlJcYEVVDBejHJpyjHeb0Yx1u1QSdvWJYJqaO/jkH8LM//g33NQEpQlhmnBKHpsmsKZ+lGcahz6lvQd7VP3ve5YoA+ca5Nx5yxBhx+1UX9+TzIqexHsAxUor9eGwGiJnFV5DrjEscMxNGh1Y7lBeH2JrGA5KBBPAG93z6Jg80/ECEMiMih8D2yar7UftKFbYXaXA9GWyHyIikjk/oz1nEv1w19AxP5i8J9UM/13oglA4PgZRH4Jv8euZk7cXNoXPCPxpnTAm/KMP9ocfOhqMrU9aI6Li06aNKkeMLEkIuAf8G1t7e3rWvFZ13a/h/R5bsToa72IuS0GpK1hw7YOj6cNcN3xtsXFgxbWsU7X2zBfaz/SpWmV/SG/Nf57F5Vhd0Zhd47B7lyN3ZmLoZUJdAyUlgVqPziKIw+1O10qfOkHoz3Ri+3z7nIlzXjO0PesCZsAi9vtDkecmIwKpHskciyUE0JuRNU2V5Xs24f3jTdq12C6XAXG4vQQkHNlxpXBXX4VIXvszrrYnc9jd25xZIxZNjzzwUbXZQ8n2dcIT8w28U3ibJbU+XzNwoTpdswiL6OdKcEIpOUp0z+JoAVZhbmsvTnn+zW35EQ/v/DIApR4vhl1Ws1xaVo4tZ31qPpfuHadaEAKpfLTFvhN2qd9gt05Gbtzu9HLuw2V+m0Wfdrny20bTU6ryMHx6S/aBh1cEYHgxsiY0kDGiVgBpLo0bfHlS2t1RtWBywjP4P7c+G/5adWw9YLw6c3PUIH0l1CJPGNDmmdr0iTZ4fEkASnRcaVy+8p6AtUTOrOc7AJsGvz09WNnDPj2m3seoKTBu/GxRRGfGfc3KiKz1Jd5abwsqWVO5Mm3Srjl2wy8KfMqB1IDP6MC6UeVAylA8465/lvGHixDnXjOooTps1yaNtsQdFmCCqRfhhGJD24Eq/jhCkRt4BsRQC68//5XpH3al9idGcY9e4+tPaIQEhQ57xEgWngfa9nVPaXHwoeO8fD6AzrwmPH6O4FzS2e2eFNppZT3tS7A6HsOG0iBYkHkbf2wok6uN4QJpBpKYML3/Wq2GQtWhkAMjCy0jr1paacSX713xU25o7zv//iU5e4jD9C2tBt+c4DS9PLW8ibhrv1Xw1/6ZArQwGblkYaNaBYZGfzbDuCuhtOnB5V5qnUFcbvd76JEJu7ur/dfKvyc7r08PuLh5xuWWcqEFcWYe7nBtGnHhdn8BfCBrusXZJ8FdVF1XY8QiNHATO236OxnH2zqN8gYAVTqeZTD4ylwu91RxrV26Lft6oaRxgT6ogQDgihA1Qm/qrfruYA/IWLaoo2LCBD4boA+4GaXpj1IRUuyOcAj4aTrgjq7wHu6rgd7GxGIHqhAWwI0kMiwp/pfFi5cVLh+/a35K1dirN8e4J5QG7tQGIvTaVTt6VKJ3Op2u/OBMv22XXbUpseBCuKVRcY3GXNd4EqaMRJDng/w1x772Dlr21Z1r+9zvfSZfZdKqmWT1wi3250H+HVdTzDmOwbVAnUSxWyVhivPR6jF0YxqdH/C4fHMCxnnOGqBtFZQMHKJI7tiTE0eqt/UfNuSLmVjZw4oMKlm/iCyUL2z84BF7kUdX0Ztmsbouv5hyDhZh3YkRG36oUEhUDcvoYyFj2ew+cq80bmJZVUW5LBqUS5hR7GBl+GQ1wdfKyjX/Q2rC+x2u4PZigRd13MCn4uMk/viaq3/trEfiLIGbP4O+T3OtS3uGG/CZAUoiiiVUSXWwyiS3gzDk3cBinDXT0/tvxo4hqOqJnU4o4oqcInTQG0cMgrAaCt7CYgNCOn/2ZFtnj8+/VTAQpMqG43qFJzszq4vTli6qs2RpIRhi7vKSJ81uKn2odaU73n1mdHEFUQTomQkEFtROrdvSOQEYz4CxaR+FoiqlVhMUtOCzb0/Tn83YGO+8T00qK7H84FDouyTVpgxMkSV7k+o0tmtcp4Yx+mGvQudT/y8veOpq7rtbExUiRWJZFPX4/w4cA+/9NnP7z2P4e8RgN3lQ/3fyZS/bjCtYtPWOiqqeFyTJmdjzObgdmtdA6ezpzCZcqpzBTFOZZuB7/rr/duiWHkT52vt3yDUCslkOtfg/fcThMnk0XX9ggpHQV3U+Y3nD57VYtaPqPRTC4k86dK0R1H9mfGo08SnQ70jpu+acelGU5m09Uo5EKAiAeMAioU4A2/KMQCBaIUq3MtV7lWYMKXrut4Iyh/eUEsyH6rvcXyoRKEhLFEM7NR1vbMxbgTq4Y4HrpbIn2v4jFcBP/lOnPjeO2VKC87XNjejCEOhYhYIxF6gHfCCRL6G3anveKn5N7ltouv0GblHmstkcMEqQtVZvgVm4U3JCnf94KIZ2bFjbN0xY9i4ffrRRrN2t75YXdcwn2cz0AOI76/3T0bd3yr1bePaFVLeqE3Cww6P53u3270QRbjro9+263eUOMADZS0PDSvMaGiKz4tCIjFIYztRwWsW3pQKJw632x20WvtR1/XzyjQukQeU4JCJ18yr80fvH2t1MgTsS1GB/m+V70GVAO8S7VGbn4U45O1Qs4lDyDivAs8Dj+i37fqcB2ZmsKe9JfBbn5KTEUdidsVsJtdyjlh/LQ73sbB0ZPqelcMe6xDGkzfovDRDT+3/MLAbR8U6oEB0JIxRRRW4RCYQgUOWZ2JcmiYy6/mc8dmWR2w+ExJZIhBTgckV0vMuMRmYxPHGj/P2+Looxv4lGCYV+dElxBZGHMcwqcCbsiHkvecAcMjg5it4b3ZKZOcq09Q0c4NWeT/kn7VdnZsVQUlkgG8e9gZ+ufNs26JYf1g5T0Oc4qVbT+Bf1ERWKTEJxIrGp2oPmvzGtYfu/+IyGxHFTShRh4rd7U7js/rPdNvVeEbdfePvzq5b1JJi8oggjnGo7ajCX8Je7WLwlwymUB5Qw9m0XYOytG2ScNddRF96KRmvvVZv+K+/hqXvu93u0lORp4rv6nVXLLBBPy/pVgAAIABJREFUIstTdKFWSHVTUkyWpCTSJ04c7vB4vgo3VsiYY4DpU9tMLVhef3kMnGdXAhQnvWHfGbPFdTri+MBCc76pVlltGl0zknM3teWy+/ectuUHVqIW2LVVPneIbidw12r36pdRaTlL6EmoGkuy14FXgwuK2+3OAqJ0XY82xl6PYhV/IJE1nsBDDAOO6Lreymjh+ATDdBnV5jLS4fGkCsS02mejU8Z81vf0a68PyQFaAxZvr3j2jGtK+zeOp9s35X6F2jBcdPO4qUxM67O2QcqrJhc5331H/s8/F6OYuJNq0nWt5vO8DjzjE74xV11x1UsopucISfWLjEvTGqL0R4MKW4cbXnPXDwy9/PFm89PONf02Mw5jY5SZnM03V+0lqsj628hFPe+rpJxV3ZxKgHO6rp/PTrhEEXBWOHgWmE2AM3M7XTLTLMUElOxdlXvgdru/RAlc9NF1/TdcQkeRfGbhkKODusCoHtOnJOfZl+WwO0VGr/hH9o5r6mz0vdfXcs4ZpWstAiBNecC2EooXTe8x68bEVPMgs18gkTkCMd7h8XwUOpTRFuMD9uip/dsDG3Ccf+6ME1c6VDWqqPoliFygFIcsL50EnxFTGcmTHc1XtPRE9UfJFOYBEx0ZY2YAd9F6/yQC5sYcbokhu0xubHHu38f+FL+21+GiJql16n5x65bwjjouUQDk45DJAnE5SuWoRmNyXOLJQIC33tiZXNLwxzoRZr8Apek8ofI9CmaI2uUgNv5Eavxw2cj4HpoCD+9vkX6PQNRvc6T8nBCgzT7/71dttdz60B6RVi93m0R2DyFQnQHqcZp9NCQK/lr2aheDv2rNFCmlS0rZTEppMv7rAnB4PD86PJ6mwB1laWlFwmoFmy3NpWkLw9URcyw53mh/dCwB8ji/KGKMFewlrSeLirLNdeogoqIWujTtuEvTahKEdvnx06SwSQzwtbRPW4DdeQ9250/YnWcjZXRGz/wrBg3NGmG6NPeK4mJTkTx06mcwCVbck7HTlTTjnnCB1MBiVCBdJJHzUbR9E5WURAz5vmdRfYkzUIvJy6j61qPGy/4Aotxud2OBeB4VSPdfKJBCuT5uGka9xeHxuB0eTyvU7v40MEBI06lVHW/M3XjlkymZbafw2utDGqB2/pnAV2Wx5ocB9oxvugVvymN/JpAKxFXSQsq6AadzpZS+mL59i1CB60WUtvETFzuWgTkAaxPXBgPpVzUFUuMzpzoyxtw2KPumqQ1LmhWYpKll2o9fPE6Rj/xkUwIqIHxx6ycff23fNYmNjywoGzljbp+LCaQGjgJ2w580CEtaJGUoyU4/JvqM3L1nMqpl4j3C34Og/GZQli9o4h08DX+MCqTuCoHU7uyO3fkRducRoCxpY64z+mQx+U2jbMBO7vnUzyvPnsKbEo83pX+kd9z8J5cf6Dv6t/3yXN3SX4Ty2Zzp0rR0l6aV91GX9whLGdx4Va7d/oQKpJ/WGEgVrKiSRCgWA8kBC4teXHjkqtiyWrUSSuustASsscA7KxOWFGdZMj7mYJvG+GwQm7cbGPfyk8ub1Do6zjb1b7/I33ofvaLaQKpgAUoM1vtPqGg8pNpAqpBgMsFXz6RHjHHv/xn1vcSj7tEZl6YNg/IM0UpAfL3K7I/f3MWK3enG7sxDqTw90ygtof7JBmc5F1e4HPXMWbY//8G5q57bINLq5RYAVxgchTGo02c94BwN6BRu3fw//IWD6YXg8Hi+rHXrrdcCRGpaGSr1dtalaR8bxAQEotb8JvOT6pTW4YlDTzwjCe/r6PB4vFHdu78qTCaie/c+gQogP7k0bZ/RplIB/fX+tx2xHeSG/QMJ2N/vjXrYZ6Ok2iJRqdBnTZgSW5+cEVViKo4qy8hwyUCAQGHhNcY8R1ceVyBGoVKLp1EnDVBapFAN0crh8ZQ6PJ5HUHVIF4YurEvTvHkrV6YB7I3d+wzwijHPPjXd10oIGgZ0Nprtb3VkjHnAkTHGdlX2LST7GnImcCjuqPdX1tlXZxWLwhQgEm9Kfbwpw+svGDETlcbrXvNlqtyHWhhEL2CwEOKIJTExMqJDh9qommMU8LZL07IMC7QLQtf1fcWmYn+UPyoJ1Z4R1trNEFO/A7vzB+zOLCA7qaz+BD3n2pjrs+7MS/Ql5xcfOUjaJWW4kmac7Pvx88u/GfrHrd3OwgebL052LwRrMBbp4D8EwHxLP+qjFvMxwVYKQ5x9LGrzNCf0HqQ+8USwxzUoABE8xZ0ViKEoDeezf/R7ZiR250shhKgtqLaWZqja8ae+BMuxc51ipXtRx2502y6IKwxl8a4HIotjA5MeWXNgMGoB/xFFAFpQaRO6HSEiSkUchARTg5k6AMUoDmt+XglBlmvw/aOAIY1PJmT4k95Lxe7cNzTbkXfd2duvvCXzXtEpv6fMsmTwU52vWdbWWXLunvfhteeH4E15c9Kzy5ajns/J4Uy7K8GMOom6Uc/UuxK5qqY3LG7IpQAlgpyC2oHrght1VDBOAha62mvHHR+3O/D4TD3+cPdJRe1TppqZPSoJQ+0oIAJrb5wzM7/2wQkM+tY5POHI+OvwpiwR3sdi7+xDolEruQbVdvUN6hmxGP8d+Ce0r/9y+L9gWjPWAIH4oUNTgWdQwWIUatf+pvCzflOdTWaAG9Nu7HaBsT4HSBg27BRKa3MHipW50aVp2zY3u/0q7M4385u+dfBYl5c+HvhlHeJtdvw2Uz1UCs0JaHhTovCm9MSbMiVYD3R4PCW3r107AiiK7tXLh1oQK+zoBaIZKn1dRogLCIq6L1FkpWphSBSOQD20S4G6uV9/7ciaNYsT2VsfQi3aN0tk2BplONTelrsdoOUnqW5jXotQC398Ylnyjm8mFHrfmp7K2bgC3yn21f3GPucdV9KMt0NZn6iddnKl09eFsJ7zi94mjKCT+Mgjgx0ez92oYLEYdbr5zKVpp12aVqPtn0C0WJO4xtwxtyNJRUkVWbF2Z2/szs9CJAm/QJHEYlCEsElAvbj05+IHHVwRZ65TZ6u1YUOIiup1/6v15946zc7cZeaySFm9SEI1CMpvDgv+w7Q2iA12LFTDADXkLu817sF3QG1KSj72HT0aCPh8QYnCOgD7zLZA/zWtv37l79fLooZvWzvta3gC1cvYBZUSXYratFnxpjTDmzKqLM7yM+q3ciNq/Sky7t80VNZhg0RZoTk8Hq/D47kWJcSwlpBNaNGuXTsBciM6YFyrAjOVir/xmmAGCrE7a3v6PD/l3edu/Xhnv2c50e2VJJM0/Q1lRJ8OfGHBcmWHwu7mMlNpI2BVbq4pYtlHLfji75es6vFL3EJU3X/jhUy7DZjW2IlHiYt4JLLGTIhA1F/WgKsAHjzM/UHCkcPj8Toyxoy7Lmv4/GZFbYrNmJvc8La5iWNqIvZTNis9NsMNi1OB5nhT4swZfytYct3u2NIIv6tc6Uxhzf5aiHe3UCyR6zj/jGShAutzlfuZ/w8V8V9bMw3jeypQTinDULW4GVJenHt9TQjtETXqiK+jeq8ijrYvwn1zzqnnGnzdUAhxQNf1dhcYS7FPdT0BuzPuaMSBVw9H7RmdYU2LtEgLbYs60zRwCWuuOEbt5h1TA4M6NsQvH9MH9r8os123270d6JI5c2aTkj/++AjVSiAk8sSLXx6JPdqhpA5wXyW5Mdxu9xmgtq7rF3SrCcKlaY2BeUTYdOkr5WTropwmByJvcHg866p9k91ZH5U2GgpcEjBjWz9XI3n1WdrMOn0URdT4EG/KlpAet83ztfa9UAEnWNcrQVEgXmg4ffonKObyDbquX1BuMrR3TiJ7GZ8/WAN06bpe7jBi2MrN47y7zlEUg/rXSmMK4PQ1adfUe+bAM8TvLbiv64tH2qJE1tuiUomgCElHUWLqM/CmhDVXD/atzhNvn4v7elvCpb/EA5J6zQvyzhyNbRzsgbwQKotrxJaKkaUm5rbOo9STQNTFuHwY92Bu7HXXDap1ww1kjZuU0dfUsCgpOrppwaF2xBRFhBKi/kBtiD6pTIgKmZO61zLwhX564J3AOuHgFdTpKg/Vjxk2w2MoeH0OdMViocHbb5OUtYj2ZR86hYMnCWWmElZ+7jzsTjNwOzcsns+WnmXyTD2LQOCzllEQ7SusnRP9G2ozMj+caQFA3gfWbQe31um6d1Nd/CbYeHVOoMXuyD5PLT+8Idzrz38QIQIQeL09vNCFIsL0fobC+H0dHbuXpu9sB1brXfj2tqGoNh4Ng/DkFwH53aAt4oTfQ/LuYkDStmc2Lbuc/T3hbyWXhzDMy/1pjfGnABPuPUzgs41kCAeLUJq3qk7K+Z75/ymq8ykN+fvTqJq9XUp5UW5C/yn4bw6mT2KwJ41geh8qvXOvlDIghEiSUtYoEXYxcLvdX6F67C7TdX0DQFy2eVBXd9yK4e8nUSfDSuLYsdLatGlgwFVXVS/KYHeKDR+0OViSaGvZd6Qny+w7T3jINmcUbopfY862eiPy4/3sviw//dqGT1wX3aPHVmCFrusXZbjrdrvfQtks3afr+myXpjUFPi+zyL5CwpEORXmt/4ge5PB4NlV631KU9d0luq5ftDyXQEz429YHp+hzbRT9Uh5fdqLYuLuwOyNQjOY7UKnY+JC3ZwK/r5vTfqA/2iT0/v1DWwQGomo++UBScHE1TJffQvXlWYH8yG7dXHUfeGA0ME/X9er8WSuPW2HRvpCik0vTWqEW8aCEW4U2nri8iCVddjce8uz823Jihl1bq/WHp2jwS3lHUAaqLv0Z8H04ScLKcLvddQMEMr9o/AWzWszaMl9r/4EtsuwzX7EF1EbRhTIor6kmFxzrJFC/v96/qUlyrEEhlhUrWdluqLy4flq7sx0w5mQfm+PIE20Tz34wk6Ldu2gUaMG+gVZONi849fIb1w/Am3Jhg3hC7rUsO6WfHtQk38zKuNvpgwoIvY1MQY1waVpvYHbiU0+1RUqKP51y4uF5J06ktfD1RWkfh/8d2J2Xo9LOA1H9ziqrGZcTWNX5TN6bj6yqtaPjqWWn6+VcH/b9VSYidhSb6NS4n6Xkxo/skQMWJSDUkJuAEQ6PJ+w9mbFR2MccJuPZTjClA4Ml8pdwrwsiotgyr/OeRnd99kG3Um1PYyuHWpVPHdWGtPFsXOGXiQefeS9glrWA6+Zr7XPMlsC8gF+0QEBerH/Lk8sPdStICPgJYZgbwvdrgKKCBVh3JpB92TUko+qk0YQKTvwLIISoD9SXUm4zbDW3AjdJKfcYgfZjFGu/+/8F038DDN/TOShB9SeNYLoJcEgpL+qhvli43e47UDtUp67rjxmkiDNAVIODtkH/uKnVA3HXXntH/JAhIu3ZZ7MDOTmPOTweVZS3O3ugFGmuBJpk9ow3ecY3pdPkI2W1dxd4UA3hM/GmpArEPU33RM6+79V6gdZ/RJuAQL2pUzHFxGT3HzDAfpFz7Ypq3F+i6/qNoHQ7473m2SOn1iu7bHm8xXjYt6MC3h7jfQ+i2iKm6Lr+7MVcSyA6A9sHnxnsf37/85bCrVtfPfvxJ7cA7QWC5sVtS7vk97ZGyqAWOAWo1PbXwMd4U/KMa7tR9ZwGuq6nGfXMNNQJ9HKJrLLLN2rWM1EiFWZb27bEXX219+qHHgrbwmTMt/x7CzduMOjUpFLl0rSuwFwkHQCSfQ3PtrH0siYU14qNK4gkgOT3z9oTnVpS3PWFI+OoJEF5sRCIATO2zVhllmZGdx8dLV2UAb4dq+2H96y3J6NqbKXGPRhbUzuP2+3+Grjl7h53p5+IPpG8bgX0ycSFQ4b3O7U7a6OEH24BOqLuF2U2IX+bp4mYnVnnDiyeGFmaLSOlkJj8Yos5IEZUbmWqCW63+yTSX18/faV5YkdyXulILeBliZx0sWMArPti2pmypEuSTz/5FLKslD09C4pa7Yxuet/WvV7jszRFPX/hMgTHiMlbx4Qpd8/plLv93j50Rf0+Glxkehhc4sCDPWn9sepwfWW+1n4lir0f3JCtQj1nFSQKGxWIbacW0/WTFhwa1TtM/6vdKYD+wAPeOvnXWPymOrVzjC6+BqfgdKNNqHrmR3hTzgIIRPA5mimRDxvz65GTadu85utGBXmZkTH58X6y6/l2NDkQNcjh8WQZwvfpqHJD/4IFrLpkCOKE2tb6UOndnhdR//2nIYRYDDillCuEEItQ3IvFQI//tmD631ozDfqehlovtQRuF0JsEUIsF0KEb9L+8wiqC/U3/rsWtWN7PbV1ySqHx+OIvvzypwBsLVrUBub/1Hqg72y9yT4UUWgUBo3clulbBLBzcouf8aZ0wZsy0QikTYGPj7cv9k92HWuNOnnlFe/YYZI+X6KrU6ePK9UJw8KQEixDndiDup0f59r9/g/eTG0rEJehmsa7Ah6Xpq0xTq9BZZeLOq0YrQe/AqLbpnpTAFqlNx3r8I5pOyTbQdOSVhyJ3GddnDiPlQlLjh+I3NUTb0os3pS+eFPeCQZSA8uN/wbVm9aiFvC/hwukULWuV3bqFFnvv293aVqaS9Oqs69bh/reqhs3qFJVhRAGgN3Z0ZEx5kFHxpioG7LuDDQvbkO6LbX2evOS2G+0ZexteGyuCdGsLM6SmtsuxoI3xflPBtI4YOnu+N20zm/NavdqGwZ7tkt/717U6f5l1Ak1Bch3adrLIWpblfENQKuCVsmt8tjURy1P51OKihDlwO5cFiREAVNQ4golKCOF+yw+GSHNIj+na23z2GV7bK8tOkRZZOC0OSB6APtdmrbKaPW5GGxEmM3F5iROxFAL2PxnAylAUvzR/cJiZdmUGJlbx4+2KTYqqsiSvqn5sIwy+7vlzFUUR+EsqgZ8I2DBm9KSvz/39rnEXB6/lC6o+xnWw7c6OFtTzwikWyVyosFIb8l5RvpADKUpo7cYgXjRZBgHjDrCeca9sjd8C7tzLyqQrQIcpVZ/naWDd3OwWcbnvDBpPxOmSrwpvfCmTA0JpONQgfRgeSA1Rq2V6GOG60jGc4uOkFe7rKTJgaguQIZL0760Foq1qED6pkS6x3bHdCIGgcoaRQAv/i8H0mYYPqVCiKGokl3Y0sd/A/7rgmkNvqcRQLGUsgdKkOHTf8X1dF0v8fl8eT6fTxNvigDQGS/HJPJ5Q6pv9BVj024SpQE61BsiOhR0J8eSbV1e5yvrT7W/LtgX9cfzgA1vSvP4jQ8MQz0o5exTox7yG4ox95BEHnF4PDOA2iImZqMpMhJLvXqjUIvmP2pYNIM4DtR/Zt8z4cbd4PB42qH8V08A/YCjqY888qX0+3NR6ZWaYXfWfuyjK/a9MfnG2hnt/u6fMqrnC1FpJRQn2WKBtDh/rc8vzx3UH8GtfuE/k25Lbbolft3GMJZkQQT7Z68Xygi5I7BNIl+40FQcHk+Ow+O5OemFF36MGzIEhKgHfG1IFJa3KRnjdkItetWNW7H9w+60Y3e+iN251WCm7kTVe1vEBxJO9cofMOez13NzN16ZjfVYOttLl490Jc2YFigp2YaSWfxTDOMQrAGibQHbeiOLcCfn3UlyjZalSRisai7QzjP0sqEUmYrom9m3bMcyVG1qV4cY7M7Z2J0nUCfcoCdvNCqzMRHlXVobb8pVeFNmG1J9e6WQcecibKb3T5Uy6vEDTVD171RUieWkS9OWBANHDfgGINfWgRITPqo3Mq8RdQuWHAXok3+lGH7m/pxBZ28ksTRZHIreY/++7vzY7TG/n/HhGwvE4k1JxptyM96UJcFUe7HAPqoX5FkRGM/IxV5bIPQJXYnrpLL5Febv8HiWODyehih7tGzUPfI6+7f5wVbIS/Gl+Ci1wLJrW2B3/hZib/gk6hnMDIjAwl7L/5HWcOcL3D1j3hOtN788Enu2hUrerUaGaArhmfSJvyXCjw1ofvyS4lNPLzschbFRB4a/cVPLrrc4E7Pna+2fExvEslmtQVOFMTtnOCSRr13s/fizCPUpRR0Ankf97v5r8V+X5hVCvI6yQCpDpQLjUQ9nD+AaKeUxg4x0TkoZbvH+s9dzvP3223O7du1qvuPSO7DvNTHx6mvKrhcd8qOFrVy2buvUlpTGWgK9H93/9M8J367JtJ2Zyfmg+QdKgGCX2+3eh2IIWnVd9wtEsCa7VCIrOKgEhc+L/vhjX/bMmS1QaZdCVHr79WrE0ucCIyd0mODeWHejHm7cIAym7/tAUvzNNxN75ZUUbd7c5Nrx48+7sCiixh2ok2NPvwjUMUsTpRY/ljLTWYHY9PuHbbv46lqTEMJcQQJPXWMUilBQG7X7n4dS+ymvwbjd7sIiU1HZtf2ujUOlg5MlF7TlCv3M9wCzS0+f/iTj1Vc1lH0cwJ4FY9Pf/f7BrI8uNO6B576OSRtUN7/WnoL8Li8d9XPejBuMuhSqbvol3hS/QCxCeSkuma+1/wZVy61rbdYskDR+vCng8zkHDB782MV+BgBDZWc8sH21e7UDpWC0XE/t/zbqhDgDh3wk9D2GROFMVGuT2ZjrUw6PZ3bQvcW55X1rx/R2/iueXpuBoH6Iy0qQEPUzihC1ixrw6KFHtwxPHd7923oTS97duiYCR7nqFC5NGwm8jTpFB1ClkQfD1XWvPnN13acPPJHZLO9Hjka+N+uqK2WVNq5qYXd2RukzX5Vbq6Dl/sldiMzw0fH146XAgQCBpUvrfEG+Jfcx1ObAh/qNj6/8vFyaJX7fUpfeg9M49HP9auQGwyBYMogtJXrjj+S1HyLja3q9S9OekPCygFgzNrRAxzItp7NFlJbz/XJRZMoFwFy8KSUC8SmKWLdKIhUBziVOAYk4ZKQxjxrFKdwrxCsjL+eFzAgCRRaaSeRJAGuxuLzDxpj1d76VTKPDkfisAf+Hr6eaS3rm4UmA0gKgPoUU/u8oGxk+pUuBn6SUbwshOqK4DEGT9Uaok31PKeWZf/X1/7fwXxdMQxFq1SaEmAIckFJ+avz7P6SUl/4LrnHs8RH3N73lwbuJWLqLXrMlAhF0mNmLai2Z7l7UcR5KtCBR1/UsAJem9UAx14I2Vb/Ve/31E+Zate4AhvbX+8ejFuiw+pqhuqipjzzSBpiG6ukzo1J1zzg8ng8rved6YOkbbd5gWf1l6SjLqRpZmy5Neziye/d36o4aFemdNi0QtfPMD1efvS3HgkVH/bAFgM9SVvLhvesifu170N9hT/2Or4z7ca9xzeCDf52u68urucbTwGRUWqkUxSr8/9g77/Coqq7t//aU9A6TACEJIDVDlaI0D0VQQbChwgjSrBAUBSv2ggp2I1geUBBGrKiABSwcqtLb0HsJhIGE9GQmM/v7Y58Jk5AgPp/PW3xZ1+WlZubss2fPnL32Wute9z3B4XL5ftF/2eIz+Vr169JP+sw+TSJrIpyo1ipxE2taO6fd3gYFRGlVbpX8fGsuWY3Khvxya25lonJbZk9UL2IPoO6WJxoIT5yFDhP3BigJK9WlAiYQw1DfazYKiSmNzzgek+m5uq++Gl2yfr08M3fudFRN80978wSiOyoqrXD6BoNRrnasx/2ojfZlHLLamrYR9c9CRUEizBeRn3d5/fDmJxpZ6zTqxOGbk+gycivWNBcURWzgUKNngIUXAogy5nd1bFnsD9/+/i1RZRsL2596IAKHPKcdySDwf56zdJcfVF0Dgdg8Y+2U1q3zEuhw8o4MHPLdGm9sy7Sh6p6VkKtei0/O77dZhPRrTnxCRzCZLJqmVfzOjQzOy6jI55xDqEDcJiRz+mXBF8t4PHyIfOlC1sGY/0ag7axVeG8/SA4OWaeGuXdAZTN6n44rTCstPsXmyDWcsZ4mLjSU1NCEvY33Xn1FmHvi8SrjD0TVDXNRvwW1dk7hBsIC1IcB2TQUOcXoKmOI+kXkZ4cRlbGbD15vIe82/h6O2m+izGX0fr97s4HFMfL+WscthMtoXH39PLlqrSpQ/Qc4d41AZxaQI2VlruCg9xzkYs30v9VeBm4SQmxFta9cSMP2hVjq5pM/I/1+cuLy+CphNuPku4ScHi9xZ6TjzpiIO2M/CtoPUIEkdLhc6xwuVzrQB1W/6eJ+443BALmeE3ejiBgCtZpzHJ4R5R0DkpOnTfM4XK67UKfQzzGYiZx2+0mn3V4h19W/S/8t+ZZ82p1pB9DtQtofHCfv/aHP1q4fIyWxaemmPGvugB8Tvhx6IHR3sh//PmDa0aTctqHHHyi6/6Wv+Kb/llsCjtSwgJOqnqhArcWrxpwnoyKX+1Gp62dmps2oE+oPZdCxQYv+qiMF0DStBLXxNDXutdnhcrV+at6BPav75XP1nARGP1fv0y9atPs9P+mF97Bl7sCW6cWoS6EYoXZLE0eK0sLQv2zVompdKmACkYIqIfio0svocLnexO+PlWVlJSGNGgmMlJrTbn/xfOl5AwgSOIRcExQ9HwASy7EGGIfOVDuALVM4Tt6rOU7eK29yjzzdsrADPlEeE7pmtzX/6DY8p7KzMAkOv75zFXe/Dw++8SLujAtCFhvziwfm54XmyXJR7i21NAqnSroxaA3eRhF8PI06NFVaA4GYCrT2c7SsyNKInJC2VT+LFVvmKGyZi7FlnkFt/M+hCOCLgB/0y/dMCDv6gP/eaR/JttafwWQCVacMnod0uFyPoNLhH6Ac6otA7utXN34c+DjUh5y1GsIlF7xpC8RLqD7aTbcfBILZk2yZydgyX8CWuRlbZhnKJY0qjChL/aH3Dl55em1er9yBnRq0PLO2PCKfLfnHG3+d+NHu4PS8IWTxhbG+WhWShBBjTYPJKfZR/V73zdFIol7dCK9vJDhiXRpebI2a/NyAleX133mlT9lt943dPJbL83si/JK26+MDjhT+M2owXVGZxV5CiE3GP/3+A/f5L7f/1c5USrk0ICAupTwjpewvpWwlpez8NxayD+tLDtP3+l4snDaNUnMRnZNMvN+0qXTa7cGIyNnGv8+B1Ttcrp8dLldDYJDv5MlsX14FpYamAAAgAElEQVQe5m2H+l/1SYIl7oR5ouS8COQ/UJFoZ2OsAofLdSuqT+sHVFrtU6fdfnhWmxZXF1mLVm2N3Ur3U919NY5ry4zElnkftszlAYqx6KPeeyIOl5LQorNML2y3q9Cc710d+4tpXuL79ZyJ04+lbH4qoLQyq5oeviVcGPGDdLhck1BOdRqqnvt0i8fX2sp27+beA/f+WyTzhm0BInRdTwa16R1tWt6krGVKVq/ca3fWKUuRXpPnssUJX9/tCt/Q3IPnFOpQchWKVKD5mdbRb6gSNtW2VlSpb4+prsbmcLmkOTb2d0udOpgTE2egnrHHUTXNB2uY+zJUxD6lymFiGSBORFwb4J3NqXjFltkGW+Z72DL3oSLAb4HrQ2VYbFxc48NfPeNj9bWF5afkETbs+aie9Ps57UttZlz9V5mUVmCQXFikZX+5Kcbsx1Re05uN7/k51Pf8ZmANfCZZ1H9mrYlA0RXZpzcgTByJHNYBW2YvbJlzsWUeQzmnGagDaAiqzeRRIAF3Ri3hHjegx4K3H/Wbpflfv7M3saQiMz2o6jyMuXgdLtfdKAf/mURG1zkS+uK07k0tU16L31rLAyhigj81o43kEVSU241yk5mNbUKD5A2Pomp/rVGp2+/m3rB2YsyBiQx7b3bZO3ctuyTMPXFtl+uy1lx79z7ikkp+5ly2rVXG535EIqum3a0oCsJgcopzQFNC6dMObJZH8bjdQF50LrbMYUsH3r/3lxvGdcprNJXH3unb1Wfyd9jbyC3eG7TS/7R7DbcdX8eAFZW0KQ5fyLr8FZNSrpBSCillayllW+Of76u8p8H/tqgU/penef8rrKrCTITJxJjkZF/bqCiTkbI4hur5W6TreglQpGla7fMMiXPJv8oSyuJCch55GlSEMxu4twaps1tRkd80TdPGVn3dQON+AnSXQqLfcIbUa0bkdvdeFQ+01DTNZUDtr0MBIrqg6NkCVoACnXymf9ZyLGZhB8KOjRnjRwFcRgGWHe2L+HHY6dPr+hTaqkM86rp+DLBpmhZyvs8ebImHrb3arIj+5cbpNmJzLIQ0aeL37NkzIliS7EJN1/VHgJdrr85zhn+xIW1/2umu3dY0IqysAgSddyhkz7F1MStSy0ylUaiT/zzgroAwta7rAWmxlZqmnXMwEIiA9NciiTrE1TCXQOP5pGNjxrwGvIc6jQdqmg85XK6ZxpgvopztOWohuq73BH6tXazvsJ94sQUfj5jH9lbNgHSMdCfqEHMEFWV/KNzj9nFWvaXVXHt6KDDb9vDDLaXHg/+zySSlFV3dbsbJn7gAE4iAzOAfEnm5ruvvA3e1OP1USeKNesSfXA6oViav1f+hySeGmf0CaRJFXRqkFR55YEJS8venuWRWhYaEDxVp/Yiq4Z7T8ywQgZ7oz6WT5n5otTx5qQQOa5rW8M/mUuu49cvRz9a9qc3yKASCiGgPSQ2LJ3b+9Nhr57tOICKFn+zmu5Mi54+4U2+2L6k5oaVJAZUVzrZ+BUgrCoya5kmUIz8rTO4Us1G/hw7OF9P3ojJU1wEi1+bls/tOupbdeOZcdSmn8HgEWaFDiKYGcgqD6Wxvk7021jzeIzsuN7oem9pKjFPizsbZNDxUa+OKy/avGzDnvTtLIr1FpJHBYd4lSEWLi2owf9kuOtMLsOoUZuamp+soJxYgiN9X55VXTObo6IZAmKZp1TY5C8Tgm4/c/OnY/WM5+cH0TO+mrSM5W0d8F5hYReosoJBxXvm2y36MeaDZxojXr5yXQERKI2wPPUTt+Qd22ucWhqC4UQNZCA9KHmwhim2oAmyk6/o7qHaLIZqmzQNosin80sabI9Zd92FtEZNrARXV3OdwuSrVH3Vd/xZVr2uradqfZgWCe9wabQ679s1Pxn5WtGxZpL+oCIIkyf5snEBdyhNl6rN6ZnpK6lcnafjZSXY0OUH8mfA9ddyxnxqfs6IuVU1d70OU9Ji3EktV5fk6UKhXN6pOer7eziRUz+JyTdOuMO4Zi0oP34CqQZ9Yfu2Zt957JWsy1amF2DKtfhPDVs1KnxG3PVe2nHJE4Ktogc3hrHbpF7gzfMYcBcoZNQQekMg3Axf88tVXu8yxMU2zHnwQfD5AVKjy1PQ5BOJKVNahguQiwGBUu/i3Mvs1z4TVdG0ls2XGjnpz7rZmu2z1+zhj/QesO0xlphKSJz5BKBHy8oePfIGKRpecL/UsDG1fVASYKp3sAhrpyUuzMFjKzjcNgQj0jLund2vaMcVSvjbPHWocLMVuYKTD5VpVZe7pwJjfuu6+o/EBW2hKVgCoLMvpvNJCfO4xvh9whVHqqXq/pSik74eSIJCVUwRadFJxKFBQy1WRtw+cUXuW/ffIwLXnsm05hW90J0pmNiYSlSEaETTPRj7hv/fba7aMb+Oqb7nkkHGej82lvChq/30vfF3/6/6bQ7LrFFwFrOZsz7UmkctrUtE633petMp20Zn+f5rTbm+KAhF1DO/YkYSRIynZuvXRqzMyXqn6XoFIBg6k56Wbp22aZgLeOjZmzAOcK3X2MvB8kASWG4jWNK3azUsg6kbnhx3qvayp+a3x1xw+ZNqV5nt3jChetpK6n+yhWXHroxEycglVNRWrmNFj+QfwpaZpNwuEGeXwaqXsDB318k2XDEK1UAhUNHSXw+X60bh2BIrl5zVN0yb+2boJxDoU2vk1iZyo6/psf0nJsJNTp272nTgRiND2oTa44H68ZBSoYwCqjSAQCfv/yGwq3FG53H3p3SKrbt6rEvlQTfc3aphPolKI4aj04ht1MzP7mEym9kCMpmkBztdkVP3SBKRL5IXInxUBHk3TKrWJOO32JBQ4qo8U8MfV+ZxO9E5wTn3yDdTB7A7UBlwXEK4JqeQ3C6PzZ+/CjhavklV/ctU6btCanosAPTufV4CH662byNqZRVkg6qGi2oUoNqeqteFqyTN0XRdIvz/U5/Zd3vuW6p2XQoAPQiHAO5eb/LUsfhM+kx+z35RXLIq2bm3rbJfTZUBkeFeNrIkTD1FePsrhctVI9C6CNHgxtH1xiiNAop689DuqsJRVc33gOzQDdonciVN8f8Ydcs0PH16yWUrRBsAkTdu0M/1+qetN6YrqTw0DyIkrYtclJ72d1zf8DPgXb43bhKph/4hDXlPN/QLZiX2SKsLlTvEzisglDIcsE4haqAxXyDUfJQwc+mqdSZxFpFewbf36s5BX9gYpOHiozbOtU7MSRhufuy3qQE5+VAlH654pS99TdwFj3kmnye50MZTVqDLRuxKZEQBQAS9Lqge0XbS/bhed6d9kTru9vSU5+fOkSZManfniC4p+++13FKXYfqiIGg4CqRHeiAe/X/X96wQJaxukDG+h6M4sqJrLJIfLlanr+mJUDamhpmkHAQyqvqF+/ENczU/0bLYv0RTirdjbTq96u2FciSgyZT//rEBtQD8BtztcrvPWy3RdLweyNE1LFYgfUTXFuRI51JhnGiotfYVxyW5gZPK0aRsJQtSe7x4C8RzKkW2VKFHnAAoZmHlszJhXMA4oSIjyxWR1y7sqK8FXuymVKQndqFP2LGD+v34IO55SkpI0oMuAbR6zp9X55hAwg6LwVWAsYDXFx3vjhw2zhjRufFfP3r0/DP7eUHXS6Rcyrq7rG1AN6VGapp3TjlP7mHXztbMSW/dxxmPyQ4PSJrQpuowIfxSodOde4MfVHzZv4Ym39r3sxM2E+dy1cVQvJFAjAvTsfOzAtoZ5H5A6cK5w2u3DMdp5qKaVRSC2opzJ8xJZqf9v9S9fSI+5FlqPXmdBVbbMTqiWld7GWgmAMmu5919DV1mXX77Pe8OiNum3zpip6vhO8cdxoXXaXe9Z3FOn4jlwAFQr0O0Ol6sSUUBAXxQFFDur7esUJ4FIPXnpaIJYyqpZm+DvMENioIedYhk+0Z0Jb9x+ynxqzI6ITZ2Ohh4wmTDTrLgVzYpb5bvrenbcPGNGp/VtD5f4LPJs9sApmqIIUL7AIW+pcr+AMHk5UF9WFSZ3it+BywKtRQKxE8XQ9JhEvgwQQKSj+q4piirfNn9KYcvL17fg0akDToeUm2sFjViwrXnWsXumzmu+tu3hE54wn2JxcopNC+rRZmAPAHZKZAsDQPUosEkiz/ucXrS/Zhed6d9sS3/91efZt89/6s03A57tZ2Doba7tr6JO6ksksm9VYe2AOe32SBT6cDAqEjoVN2zY95GdO98et6VwdpvnDoSiyBbqAUgk69sc4Xhi3pkBS1q9iBIFz9N1fTnQLXvy5DvLjx59EdX470c1So92uFzV6ibqun4ASO3Vvdd9fpM/kyqk2EHzTEc97AG1nE313nqrkbBaLZqmRVKDCcTlKJBFKUEE3xVi4VLu0W7eNh4YlW8603NHxKZa+8N3YcJEw5Km/hbFbTZG++PmYNSlgsftld1r9VM7n8JtdY8d1GXQtJrmUJ0ZFIXTMZlux+83W5KTveXHjo29zbVdQxE5/CSRV1/oeLquTwUmAqM1TVMEIrbMWODOtW0O3W+Son67rSmUiWK2RqxjX7gCR4f5I3Z7ROmAW3ds2W2Mcxswp3nOcySV/GrCce4DayBAj6IOYW2rAa4AsOrXr2WUZw+tr34kuD90PAotG43RyjJi3fYybzgPoEguOlQdZ9sPz/lPR2ii5eSDH9XaUNCeKhkCFHHIz66mx2e3XDn5BxSitpdEBqcst5WZ4tN/rztflJ86tSz7qadigUBGYj2Khm+n8fkCJYSvJHJQ0BhnAKknL62D+j1t0zTtnEOUQHyCevYWS+RV2DK7A3eRduBW3IlWiit+rqXZlqxDv8f8mlRkKYiTSLlw1Gnf/HvclrJI2VsGS6Q5RTcUW9cMHPKOoHsF937eIJHfnPNFOMVWwI5DmgTiXRTi+VwyeVtm+2PWQ0/vithyzYmQYxaLtNC8pA3Ni1t7Q2ToDmABMF24x1lQhy8BNA0A47YvFIe69yE1J5RS1H5hx+Dh5Xwi5Bft37L/1Wje/4kmzOYjoU2bmjCZbkCdpq/0meXxq2clDA0pEjmoNCmoPsZwXddTgq8PkjqrHeoP+80kTbXz5s27XZb7CNmfczsKAJMI7Py5286Fth2P0fHnqacHOj+ojTvj1SC1jh8Bkh5/PMbhciWhUqMFVKPLWsVWA6Y6pXXeRtVxq5Wycrhc2x0uV3sU+ftOoG3Bzz/HSCkjvh03rlpKPqPHbQnqob+2QinDlpmuDdr6TvTuYn9Ytqcpqnd3UIw/Luaywh6urnm95yHlkb0R200Lan/a3pk4/Vpn4vSoKuMu3hK7RQ3ntV1Vw9dToxkUhaPw++NjbrrJ78/LswIfTBiTcluT9eEFVIPS/hObDRB5oGQMtsyF2DJPodKCU9u66tf3myRlIeV6uD/yjk6FWpgUsrsUcm+Juaipz+Tb5bTblxr0fF8K6SEvpA3VOVLDzocArbAoz57yglA7wXJ1DpfrTRRBxbMoZzrmhVsbPdD1uxhP0gHrWWYfxfZ1D7bMpSkfhAgAX7hpJEHIVRSJhQV3RiPcGXe1XDn5DZQjfb2SI1UWHurP9QFeS+3azRwuV1vUIXEPKv2/w2m3L01fEzEB5UizCJKSMywEKDPwCaeBxlVeRyBuissNH3rnrC4lvsS36xstUcuAoZxMtNJ8OyisQkvcGeFJxyc3v27X7/HALYeal5YPmFnb8l73ZnKuPf1ep90eHTR0Te1KP2JI91XrSI3PDvgF4mqUI80DemPLrBukB1sGrEv2pg24zNPXQns7ljTJtsh1fGmbaXEmTj/sTJz+mnCPy0LJpVXSpxWI0Fu7kVKqvukbUViJH1DPXr+LjvTvt4uR6d9suq4HEJ9XaJq2fGr/Sx4oSPC93nxDJH6T9Jn84hPgnuRp0+4DpgCTNE2bDAQil7tQm1IrIMIrPLgiNuJ+ujfS7yP/1XezvMJ7q2P7tj0EoTYlcnuVeaQYr/+qaVpvqKgTPoJKsQbYYd4BHgmAnhYvW3xTqAz9cnKzySyus3iIRFYmOqjBnHb7leGdOn2eMGJE/KnMTMq2b/8JBXCpSHEJxB9Ap+Ss2PePtnnhMAqMU1GXOnSDjYO31aHdhD0LYg6VTsWdsbzKPa5HtdTURaWuvwOG3+bavhjFJfvmUn1pBnBS07QL5Yk9x3Rd3+UrLWny/o7hso8z3hReZEIgDgF3OFyu8yp8GOnOe4Def2Q2TY08VErLqYcByrxm387b3/2k+YK+W0OLoj3VqoU47fb+KPRvfeMzLmryxoP9MJlMHa8ceU6vqkB8gCoN6BLZ43xTO/zdbcUHYu8Kpwa5uiYbwmPr7wt1D5hhs9Y5EoJZWkpbFXbcnV7SNgmVYgUk/oZHWDH5GsJOeo53un9Psypcy4F5BVL52yTy3JS7UxwDEvTkpYeBJhiMYMYaXIPKztSXQrKpW6Fc37Pg0l9vzd1UZQwPcByHTNN1PVCHbKAN2poDjC6MKHPsbeju2GpHPcz+irghGxVRzuSNce9hoi4OeQ4CXSCeAZ7u+FP0sfEPpkSiELk+VElhjGPS9ttQoKmncCj9VYEYD7yBqs1eUiPPr1McLYfa0Tda5LDPO4a+8tz16+LzIppRuYRxGlj95CMLj7/4wOI7Y8tlds5XJO1dF/fr2p/qtcZgmtKvzz0645njqT5rZYS5QCwHur2zFm9GRxkiEGtRLHHnxRJctH/f/k9EpkIIsxBioxBiofH/HwshDgQ1Dbf9szH+ggUEd28TCPHwov3jnv/kEIsHn/7G5BclqPaUghNPPtlESkn4sdJhVSKXKahozwssscqQ0W2LLgsx10naGtKwIZ4QXz2/8C0ff1/9w3EnLSHAhKqOFEDTtCOo1FdFu4XR//cyKlqYYvx5AqoHcpLTbhf9uvUbXWAp4Lqs6/Iv1JEaY/+cMGJEKyklYW3aeFG11hNOu/2L3xpfHf/IW1d+9eibfTpt6f6Y72ibF+5GNdB3QKWcfgRuP3ST7V6Aja812V7VkRr3+MbhctVDgWxygevKQv25Pb+I62QpZbtUAsuHgLpG2vjfMj/+FeawcPH7nWGmV947/IxArALSgCVOu32H024/G3nbMlOwZb6ILXOLEU38YcyvfvhxjzenXTTlVi7FnREWcmJ8ybyb1ocWRXverkl2y+FyLXK4XCmotORp4Fq3vtNUbGnAT9OnNw1+r0AMQDnSM6ia+nktvuyPAAK5enKN2Ojf65oaW6/KG5TbPr+7DPWHhW2KXt16cdz8pMMh+7OAV+n5S1fT+KmYzCWekuSw+Boc6eXAE6jvtqbe41BUJLwCI1oKWoMfbnNtT33/hWNnCuJ8tFseLe54rt56p93uNMogATMDJdgyhW3FmUMAzd467EJFym+El1o7FkV42Njy6D5UZiYCd0Yd3Bk34874AVPFHKrOvwOKJ7Zk7VUFdlQbysOo52kUkL9ifr3hhqvMMa6xo2rQHqBztY7UlimwZfblh6ttclpGaHHK62EfTHCI+LyIjqhD8WrU8xiHO6O2cI+b8MLEn0ZJs/R+s4wnBNCkw5l1DpfLBtxfHOnzaN/Ep77VpwmzW7U4GhDDEIhHgG43HMafsYci42DTAYVR+FsdqRAiRQjxmxBihxDCJYS43/j7M0KIY/80Yobz2f+JyLQa7dOPgYVSyi/Pf+Vft+jo6KELFiz45PDhwwy3Di9kCFEY6Eqn3S4SPLYZhZb82z2mMnOdRyYRVRhKx6ezEIgyFHLvW5QsW3bwuLquvwg8Xrpz5ytrfnnl7rRdYXEAlnJRCehU5ZotqAi32lYd4+Gr6CUtjPGVvP7OkfD7TFP96QXp3h5ajwtrfah8z2KgVI6a8uEZ66nxxebCkHBfJK2LOtGwtClSUGqWpq0oBY/3cWecDro2GrURrtc07ZxaXVV7aliDN6we0/hLtoUjhfQKKabXfeedeJPZPAy4StO0xX82RnXW5VSXn15yvdT3q3pfHX+7ydv1AJx2eyvgE6Q6nNT1pBRelt9DRMio4M3djUq5fgx8q3/Zaibq8HRND61HR1RtcodEpl/oXJx2e0bCZZe8HT58gjj13nv+si1b3gfuv821PQYDAQq0l8iNfzaW3ymKVtVdEOEzRe/TNK0xtsxaKNDQDTmxxW0T8iICdX4JHCsVJSsWx39dr9CS3x2jnafuJQWv9hx85NV1tn9lF4U0TgIaaJp2KHAPI+WejarB1qzV6RT5gFdPXnorKvU/R9O0YUHjfIVKT343156+GIV4D7QyzbjePWxmxK3f/sGayzzsb2zxhQjTytl26v14Sjb++MTWl8ctkS+NX9wmP6b0HGRz0BxyADOOsxzeAhGK6g2NqTp/I7NTgbyPTyohMs7zxUvXlwz58facbBSYa5BEflVxD0MPFrgapWxlBvDH5HEotryk4ZFa01E9tZUIVgwk/XFUT/gQ6SQG1Rb0GA75skAk4+dA+1+jzPc/mOI1+0QoUHa4Sencx77ePxKJ76QT814zostgwI8HC4nyPCLk/47VpE8K3AIUSilf/Tvv9z/Z/vHOtAbt04/5DzjTAMHD/PnzIyKjI+nbqy/xByP4uuMdC3qIJg1QQA2rRLI/dJfcc0ddEdq1E9kPPlzk93seN6jYqjVd15sDOw5GHNw4ouOIdik7QwsmD2p02iRFA+MtP6NAG9lB17wF3AcM1TRtbk1jO+32yNxa3s9MUvSPzbEQddMN3tjefaxAE03TLkwf1pbZABi77eG0jNw2UWFdb3chfJJj1kP+5cnLTLK4CJ+FcnN5Bel4tX2auq6fASyapkVV93rAKjY9PzGPj06da18TdRMQJsLCPPEjR4aE2u0f9ezZc9QFzb3yuDfi56sFqxcQWR65v+cgV2NU1DQS6FZgyktyRW7gQNguTJipV5aal17U9vVavqTXqkqu6bp+NfDD0bCjC4ZeNvRaVPtNPYmstrWlJvM4I3NX11sQV7h0mT/viy9MQNmsx44XLXbkJmA6iwD9U/vEVLY5arqlMKSx6DpixxlUbQ+JZFnnvazueMA3cm7nu5NOR882VGKAs+08QB+QRMR6qT+877ai5re0BJ7SNO35oPVTSFV4WyLvr3EuTlEC5OrJS5NRDvKgpmmXGGMMRx1IKriPS22v1t0WtXbO0dCDPYvNhSK2PJ7WhZ1Iph4mT9gh4JdlTvsQGWLy9NB6jEBJJ+aggDbVcyM7RSFQgkNWkJgIxEoUsUmmRFYrVOC0262NWuduyD4c2bLoTAilYf7yeROyLUscuXOk7Z37qEYPFnVAOX4g5fTO8num9drV5KQc0JNIaQjUV7UgcorPJHIwTvEIqmXuXuHgfVQGJgW4d649/UNU+nasQFj32UtYmXPG++XwXGvHa2FnHNCXUn5m9H+6dzSgT4qiDbzoTP9JZgjOvoQ6KU8McqadUZvbL8CjUv7/K8kbBM1pM97M5JK2LTG/8wNd9WQMKS1QJ94VKOe+4DdnszdMISH3n3z1Vb93/34TKq33QE0MQL/pv5VtjNsYMqHNBD/QWiJdhn7nuyh6QYnaREY5XK48Xdc7oJg2v9Y07aYa5220HoQUi6SnhjXY3Ky8VRvbgw+SM2dOfsmqVYMdLte55PW2zGiUVmulPrfsrrHsfCCVpu8eWVv3tzNPm06Me1Ka6Dz05aT118yp1ZKzvbQvAS9UVfLQdX0F6kFM1DStxjaeoE3vXYnMMFpc3kRFWlZrSorfe+TIBANgc0EmEEnA4TrHYyxfLnOWibDQ8C537PRhRBOo1PtuYNHPsd/uOBma9Txna5s/oNo6giNtIZG+FbVWyCdbPmlC8e7+eKHzqTCnKFyTOCui2JKanzV27IyiaN/4yAKz6VRdj7/28ZBHgVerUxACwJapESDzDy+uf6R3KvtH1KXTPTtKw0+VbzsTVbIoZcsTDxVGeyKAHhKp1zgNu71RWKT3x9IiSxMREkrd11/HX1CwudfAgW2N9XsKBWT68+jbKbzAERyykcGelahpmlUoDd69Fq9J/H7VhCfbb029EiOrBODHz76w7SWbo9aEeUxlwmT2+/w+0yRgSvK0aWskskPfbn09XrPXgvGMnGcOZcBJHDLFmP/jqEP3TolsUeN16to5Ph+3TV+Qtj3BFZUOktqeJNm+sJuoVV6hypOHokN0AnOFe1wEcHzPd4THeDmeeJOsV93Q55BTqDaXl1F4h1uEg+tRnNI/Ss72uFpLhd71+7grhk1OIrzETLiIZF+3MB5qvlzF0v8B4vpK81b6pMtQOIgHUVmZgCLOBCn/2iHyf5v9o2um59E+fQwVJXZE1UMe+ZtumQpQfmoXUkpy6pTwY9QiHir5THJWU/GmgKaiKSRkBkDtceN+QoFpEoDZTrv9mNNuP0c2bU38GtG0sClWn/WxwCbhcLm+drhcdVGOLRd1Ij7ttNs/OjZmzFYUaKJ6weuz9i2Q5ImQX036an9bc1xcuvT5sCYlxQDfO+323Z+mt+qCLfNGbJnfYst0Y9SlUI7PhxILv/fg4KSuALvHpmQJ97hLpZnOCHZ98tiJDhjk/CiO0eeAM067vSpFYoDmbhg1mEBMQjnSnRKZYayDz+FyjQNiYwYNKvHl55uAN5x2+ymjp7Jms2XW8iW9PenTO0Yc2qQ9GnK89YumtB/yw71xVorrWN2oqOwK3BkhuDNa4s545Mq9Sz42apu3ocSU+6FEl+cF6nqapsk9UXu8DYsbmoBp/5YjVWaN8u4pF0LETlybu+Ke5btMcx464al13CpRte/TTrv9TuOzNMKWORVbpstAri5F1V/rYt9GZNLSAoA177WYhjujY/yBhwcYjnTK+RwpgMPl2n/j+D1vXzN6PyGW4uPew4cpP3myjdNuX3fde7VvQqkClXKurmZ1ZuKs5NZawHJw1Nwxz0/uv+OboXdaSlJeN7ffmjoZJbAdqCc+ZMIU1+TIexFX3u1q26hNLn6/MKEitl5JmSMAACAASURBVJzClStPCQRNCpsEkM01O1JlZmO+CER74AXj/7uc9ypbZjc+v+UK8ycjGbP0wfRbTo6mXUFn8iy54qeEr/i21if5i+I/d+DOiKuiB7sCCE8qRSaWVS9aYJBTTENF68FI+jiA4ZfTEuVITwEVgKOey5u8ctP3l17x8GeDvUMP3kn7gq74fT4uXRYZcKTwnyGuV/MO0ieVUuajnvNLUAft46h68j/a/tGRaU3ap1IqAgLjPT0wIta/4X4HgbSokAh6dknjyqNeaoeEIKVECPEDismkUrSl67oHOKVpWj2jFWI2agOBIAYggfjgqhNX3fnYrscAbtA0rVrYvSF1FhCP9iY++WSJpU6dKCGEparWKIBAjAb+hWo9qB94eHVdz6PEYy0b91LRaau7NkCTEjv24ksJ90d4UA32C1H1nkqUdLque4tNxTn9uvezoQAZyZKzZAPV9dKi6Pycuq6noRrsK1DIVebbHrX51pgy1XV9gfR6rz3x7LO/+HNyeqHqfVko/uPvsGVaURuSA3XQiAMoC/FysH5OebP9ST/vGV7nQNYA273Am5qmnSO6Xc26j6VyXW/miLU7Dl9/etALY/ePBWitadp59UJrHlyUH428MX9f3H3x41uP926K32QBOs61p+82+82zpZDX+YVfJHrqyUsLuooEXwU19AnUBj4T+JG3xvl9WP9YkbzkMmBTD63H99TAC3yeuQSiz9G/Rn/3sCkiotmxBx+Eci872xfzw+2nh627smDOBYwjcdfeygtP/3bq0qhbXI83rNPitcMkrs4jN6ZYxudH7EK1SL2PO+Ncximjz7O00DT767eahwM3maKiTHWnTGFt/sKCiQOmnldj1BjDD2wVDjqhUsqxVJc9sGWmoeqe12JoEQMQk8e++DLyosuWXLotZYIzcfoZ1MEr0FK0F/X8rhCIN1BycGulk47AehyVe3hrJKdQc3UWWBgSP4hynwnTwO9bdf52+F09gRs81vI2IV5LGIBEymx/gf83z27zp3VWsyF/P8dOVmCs/iORaVV90mpeb4Aqq9VIh/pPsH+0Mw22KtqndaWUxw2i+jeAUinlo3/DPSqR4gN0jokpu6tevbIQkykG1dD+JSoNGyBX34MBTAg4O6fd3hjFA9sJIMfmPfTkZwfS4iLrF368/uMowKlpWrBiTSUzgBLPAxMjuncPjR8yhJyZMz8uWbduVHA6UCAaodKWEmgsbe94UG0dA/eMrtvm+JUJouvw7ZSU58l10SvKs0IOWY0LV6FATweru/9v+m/7Ci2FjQZ2Hggm+klkTRqntVC1sf4oh3cU1Tb0JdUIBhh10sCmV+O4uq4HDghTjo0Z8yYKONQboI4npbxjQXdztD82kHsvPVj/9JF7Xv2sycpO+3MLo8uSJNKr63ooKkrZrGnaBaG9jXV/HKUcEp7VoIz1wyP9dye+ZRJCXBDNYvUDC3+RKXn3urpzm01vOJ3EH0843540KApDP9crvOwK38L2iI2UCy/h/sgcKeXtN+5auyhojEigEFiiJy/t4BGeiL5X9A3hrzbwO8VrqBTeDXry0s7AwwsKph9Pe31D3VrZVlC/pe9RB8fKbE22zHjgLvDfSPKxThxTLdZ+E3LFnHSxu3gNmY0yc9tuS7Z9POSPamvqQfO4HlXSeB2HnNBsfcRt179fe06f3lMpP3mSnPfeO4xidKoZhOYUEvhdOPCielynS+QYbJmRqBr5LRgsVkFXnQRWLHvujas6xO+PjBzMpxLpqDSs3d4c5VQ7ABRH+vY/N/tAoyPNPYX9jlJn0TIKAR1H5VamIHKKLyWyUk9t+WzToqcSk/v5djdjwrTeRYmnoyPVYks2tD4iv716q0g7mvDOaGfnh8SpcTdRZR/iP0RcX5M+aWCPNf77AeAyKeXgGob5R9j/VWf6KwolJ1C0X/dIKQv/pvtUSxjttNvvQaWjYlGRy0fA2ORp0z7AQHxqmlbpROy029t5rX6nyS+a+8ySsnD/tmYvvpcuTKZDmqY1+rO5OO12a/hll32TMHx4v9xZsyj+448C4AmHy/W2QAhrmSmrw6bUOu89NHhH6x3JyQT1uZ3Q4op3jUuJSFyaO7NF5tG7cGf4nHb7lSgnlWa8bTGqTlgJeZyxN+PEzcduTnoi/YmFy23Lz0lXVzPPFIJO9Al33+0Ja9UqRJhMlVDIArEMtem9L5H31DSeruuRSFkYta8ku/2j+3KAJmWi1LI9YiO7IrYi8RNXXuu0zVPnro4HP1+O4hm2UoU9qCaWqj+zvnMTQstD5Jn+H9UKq3soFGtqKlG9e2flfvRR/Rprm+ezd+PkkmMdikXn+yJq7fPT7sWjgVcCogULgOnOxOlW1CEskKbciXJqa3CKRqhMx9c/119iM0tz9/5d+lNiLanM7PNn5hQzUOjv7nry0lxg2+qE1TzW6rFdc+3pz6Pq1rUBP5Ivrjs19MdIGX0LCpSUoAaR0HgvRBaeYnO7R1otnfzLXZ7HDkb6IhndYXSzC+E+xlmRUXlKOJiGQjZbFy75KivCF1H/+MSJGEmWXajf6Joq10cChW83Zc/9l9Kkx8omWb/deN8aVIo6WFWpEKWq9DnwMe6MIoG49901TLvlMNgGYaqpn9Rpt3fwm+Qnwk9zgOIo/7aWDQuGdx6YtR5YhKNSX+goVN/q2QyRLbMLqvWpV0lkSWp4UQDLRBmwHfimjuuxPtmJhd2AjyVyZMV4/0XE9UJUMEFt5azG7ePAEFSKV6IyTXcHnOs/1f7PONP/CVYdaUJ4hw7fJYwaNQj4WNO0kVWvEYhdtsPWpo/dmZqTdDQ0IeHOOwlt1kwenzgx2eFy/emPU9d1s5TS6z10qMD9ypRIBOao8hhPUmwb0fzUJdbYgooHtBh1sPgKmKF/2aoWavNdrGlaJUYhp91+M4rsIQn1AM1HpbMKBOKR1KLUl2evmw0wU9O00X9hfZoDn4R36NAhYdQoTk2bdrhs27ZrHS7XVqN37mVgj0Q2PediBYi6AwWIarPp2YaR/hATlz62DwwFF2DmPNv72X7hn40CSbDqmrzSWZNOhBXG+x6WyKlV1m4pysHX1zStRnWVqhZQCwkpFjM/6thCmuLiRvvPnAEFSHnY4XJ9cN4BbJl1MTIEINNBhABsGZ9EfvtadBmxfabJx/u4M9ZUd3lFG8/ZHuMN7Xoff7nF5bmfA7MGagN6Tdg7IWVOypzlHzb68IrqxqjRnOIL1Bo3Ew4ilyxbsqHAUsCNXW6sLZGnsWV22RG+6fX94Ts75VlyRaQvmtZFHUktbVxmxuwCvuH2j5bRfsNSwCkcDAUOjTgwImX44eEIxIWttVM8hKoXZwgH96HSr48u1Zc2AUYXr1uXkTtz5h2oDR1gIwrtrnqy+47sdyahYNFP0dH0XNGUxFMV5EZelAMOqCodIsgChPuzV2EefIhy6xBp5TwmEJvsqyPajJtQ/0x0niUOJG16uGnYMnd+xL3lNxrvaQDsTciNYEPPRz5IO5bQHcXVawXwWHzyi+vXiyPtdnLXK4MuTdj38Ebjugsjibho/yV20Zn+N5jhVF9G1VBC6k6dir+o6HT2M8/YqqRhp6FqNSsksrvTbh8YPXDgvJirrw4/MWmS9OXmLgBGVFX8qGS2zOa/v9tsg7SIsA53b/XvDd9u3h65gTJTKabYeDocafNN49IWD1XtcwPQdb0UyNc0LbGakTFAL1Mw2GGy65ctmLhw33V+M57flv8WIhB7NE1rVt2157MFkyYNj+nb92NDMID8uPLNExfubV0U7z9bf1UarTcCw1HI7OCUcP62iany9GUxsTE7ilLb3dv/SNV7OO127XCT0u/q7w2N8VklVo/pV9RmW3FA0XU9sGE/pmnaBbWfBKmF7JXIJgC//fTTiuLVq7vmffmlHylNqFThfQ6X6zMgIFpwO6qGXIFcBSi3enLffmBR/Od9dpFR+tKClLLUAdTAYFTNZ+yCSqM3QUhadj2Fc2jOhrc7h1y6aOUiTJh0TdN6XMjnOjuoEj+Yl0rikG7sca74JDa5NJluDpfLJM/WE/34/fvDdp7ZHPVHTJmp1IKKpt4EHnNM2t4ThaKfLhzEAo4bj9y467799zXjQtfaqQjbe/ZiydI69MF4RnRd72WMPUfTtGHGGnyEpKlAkFJ2SWGHgm7WMBkeCuBOKARw23KiFqF4rVfVdEuj9zMLSDzwDbkNignHIcPP8/5XUGQPGySyvdNuv9ES4vug3GOuZbb4kR7rt/3PDFnuHLJlcpvt9UIuW9+gKvJ/1Ub7ka/b/zrlXzHlhGxfiL/ejdJsjJ2OigZ9QJrknx31/W+wi870v9ECpAm1xoy5y5KYSPYzz+QBjzlcrukCcQ2q9pSHUgEpg7PE57nz5pUWL1sWhnqYPkXJoZWcrUud7XM7fL2NA0Pr0OmeHdkFMnf1lfPeGtBiqd808MPawnh4z5U6U/dyoYSoQzRNq7ZXzzgYTJTIpwUi8nhaGbm28m+vHPnxZUKIWn9FLLzKvcv9RUU5xx6eWCSgQUmkn/KokJ1Dtw5eHyVjuqLSV8EarTtQiOj3cWcc03V9Egqd+ZCmaef0uglEf2Bhoy1hRc8NaZgnzkqSVRxQdF2vi9o8l2maplUdo5oxA2ohXiAloBai6/qjwEtet/vZk08/fRmSqxCIOG9C8WX5PUtr+RITgoYpBjZjiEzXOjpuQ04ojSZtZVOfnKWPoNDOn2iadvuFrqXTbr8mLNI7p7TImlAU42Px4BzfmNafekwmS6mmaQl/PkKQzQxZxdHUzl8e0PLqH4+LTYtpx+6xKXQYv5vIo2WVWr9wZ0ijZWkKSic3BChKaZ73bbcbjzk+S+WbId25Hjj16e+ftq1bVvcoF7jWOMW7O2MYk94fpDj7jBjMV+X4/Ie0W10vog4oHfPMubFbI9dyOGwfFr8VT2p8+Vsv7LWkxx3bNquJ/4IUhgRiAQqE9IV00gsIxSGja3ivhkJSFxlzK8KWKei9+KVT4vQj6zeZOW06TYQvCntxe0LiksrTjtdajUonf2SkkwUKxNTIuZKcIYeIxiFDgqURgVsk8ovq5nDR/mvtojP9H2C//fzzIpPV2u/4Y4/5/Xl5Jp9Jnnpu9sHYve1KLEBHydnWniBgzNZjY8Z8hORZBNEh/lDZqqiDp0lJy1DT2Y6nM8Ca3XfWO3H8qlq3+/BN7q31HoFSkLhjrj1dJwjoBGxDRWebjXsFIuNBmqadZXWpxoRPLG2/NFq768m6vqg8izn62mt9Mf36mf1lZfaeffueQ3f4Z6br+n78Mm3RtheOpO0MS2vyq4dTpmOE+cNpXtRGNimxH7YS8jMqFbeumusD3MS/aZrWK/i1YP1IDPagKpJkFQeU5GnTTqHI1M/rdKqohVwnkd8FzSUZKY/Gbis61vbZA0VlovSSnRGbzTsjtuDHR5Knvqd5cesv63lTnw7OEAQQoBO3w9RNvK0nLx1vzG2/pmnnkLqfz059IR4aXS9sSotZibReGUXs4MFEdu1K/nff1R745pvVyroBGBmAAShATlfM5TZ8FnwmP3sbuv2JoQ23bXnuktaizO+8om/P84HiQlEtH8MBc2JaEYtuyfW/OSIfDH1RQwP2T9caIPtL8Xmf3tzsikP6BR2l7Z0NKG7eUVsfTbu1OCXMdNnYXYG3lwBbgK++TZiTc6xOzptxp6xRxdE+6kd6XDknwi8LAAJrMoG4E4VAVzVNJ3mAF4esVc17K4Tvn3j1qlHPv3JtR6AvSrRdPZwhZb41tV2Fa+qsiU04KpFIr6EgMzFAaCKoqE//Kp2kA3E4ZLhA/GSMN0cia2whu2j/tXbRmf4PMF3XRwEzfIWF7554+OGGpeH+fmElJk7W8+QlZoUMDghwB2z5T7+eMZfJqC6jd2T58dc/HnJYbI5cwxnracJ9kbKeJ1VvU9jplrCTDwcio2ggf33c+pwJbSYkAAslsgIY5LTb26FqbHbjT38AQ5OnTauDqjV+pmlajUg8gXgQ5Yj2zbWntwDeCmnc+C7bgw+ac2fP9hT//vsEh8uV+acLodKdw4HBh663dTs4tI6105idmHJLCPVaTu0N23F0Y9Sqxl6TJwrlVGaj2l2qJdzQdb0EKNY0rdKGF6QfOUkiJwe/VkWSzFv7oYfyQho0qC2EiNA0rVq2GmPMX1AtTR9J5KiqGYL1UxqHWwp9tHnugES1PyzdFb51yfroFfdTTV1PIHoCv0Z7KD39FWFWyfM45FPBBAd/up5B1vGUOLquNsl9slgyok/6txFdu74ef9ttISdfe83n3bdvBpDhcLlU9sGW2QZ1iOoDNOBsBsBb0G6zzBizJmThFXs9OQnF9ZfqS0+hAHUHLsTBO+326KSGhavyToa1LC2yUBbmLwgtNY10uFxf6boeEK0+71oDdHGLglN5tqjpj9+4tvdvLWNQijFmgCPX1pL7R9QTbR/f64zdXfI87oydgesMDt0tl66IkA/dX9/sL7VAECCwYg2C7BzUO/JQgMEJRxXiBVum7dV7f9ncc2WTuq1dyT6rzxwg/JDAUexb3Qz64tKVTXIf73YVz+FHvH7NJe8nHQ0dzVlCk5dv37h9ky8kSJ/WyQnAIhw8jmIYqlYa8aL999lFZ/o/wOrUqTNi3rx5H+3du5c75Z0FEbeaokc/Uzf/8p9iYwDM0ry/65k+K+t7G14KND04KNF66JZEuozc7rcW+Q8Ai0spfv/rxFmjUJugFYVCfMrhcr0BsGjFouLDEYfDx1w65iSqP/Oc1gOn3a6hehIDSOFf6r37bk8hxBFN0xpUN/cqQsipEpkNsPCJJ5KievU6UbR8OXmffw6ql3S8w+U6S2uoop6rMNChKBYnAHKaWj1bJzcP+bF8rszK3txkluOPfUHznIgiCIhEpVQrnegDVh03sUBkooTAV0lkteQCRur6aeCRsHbtwmrdeSd58+d/V7hkyfXVoXEFYrzwiTf66M1O/nDrvetNmIKQqwCc2fxUQ/OZlpHRiSvOxLR48vpKbSgVdT0FosFr9a/K+G13u8J4f9iclbx92yHuBx7EId/QdT3QPnGppml/ysdrzO9J4Lk798IHa7gWh1y0dMmSdiIkZEP+woW+gu+/N1v8Vl/Lovanmpe0iTNhCkjzSRTS+VfgQ+Eet7ZNLqW7YjCVms9G33/VwT+xVWx7Zr2wT/ulfkHtDdFRKFT9oVrjxq0Ja9HiZmCkpmkfn3Ohoaq0t4H7wbrZsXUiSqzBNcbjKPadf+nzWtbFImZTpUfYyB6cABLeXcNn9+zmVv3zlC+P74vux1kVpQDdpTSuCfQo1wFGSOQs4CyD0/3vNEP1sg8GOklkrEAgkQhEDupgOgf4DHeGD6d4RcLDiTeScyqMBOAOiZxhlHzeRB3ALPvtJXz6YLbcfnlxGwStCmYw52AIotUQQODDRJpEXjAo7qL95+0fzYD0/2NVlWaC/v6OEOJvaaMxxnNkZ2e/W1hYSEpaCtxBdHmZoNucPt/2Pz14XaOSZn4JjVbELR62NmqZvdCUn2cu9W3BJFg1M/0p3BmNcWeMCXM/vNnhct2Par2ZheIEfd1pt59++fpLHvihzg9hTQub0vtE7/7VOVIAh8ulO1yuS1DSaFlA79JNm0z+kpJUp90eW/X9xua0FPU7GhJwpADXvvBCtjCb8yKvuKIYhYysBcz5rEXrE/vrj1uALXM3yhH+gNKprI2qe762L/VUs9rL7y0sMBfQIeKqY8GO1Jjnq6jIcTIKTTweKHDa7U8ZjjBgAQ3NQcZ8+6IcaT5niTGqWwfpcLmeAaJ8+fmKgMDnG4hS13mw4o22zG6H2j73zdfD73jjVLOX+enWsYkmTNegNuYNKOWRRNwZ8WdaR83AJDh5Rfz11dxvlcPlaobSuj1i9Zq6vNavSfhjo1L3D9xoDURKOca/5xv/Hlp1nOrMILl4tlYpvrdUscCNLdPaw7GrnaWgXKamaqaueX2I8EeaN0X/nvR9wmchO8I37fJTfhtgxZ2RhjtjpAHM+WlzPKaXN1IenMbGYDDSdb3dBcznpiMR2C0hkhEDjgxAHdxWAmm5s2bdDOA9cWKksb5mbJmDq6oqXXKwdh2/2YdsshsUgjsMd0Y93BmDcWf8jEV8btyuZ5Xbf4865Hw8Zi/ZJhP0HHzkY1QfaaCuPhEodNrtjxu/pfkoR/q1RM4ylF96oV9h5vUHU1DAqhlAH5/JH7am3SEef/w7z/u3r0zFnVELd0Y/3BlO3BmBZy7u3aZgONKFEjkDwOFyeR0u11gg5ps73QVxbguTRjcQH7dovrJbTMxMYUKM6ot60oZRjuDP68p/0WpSgDFeGyeE2GX8fcr5xvm/ahcj0xqsqtKM8bcOwP3ADVLK8xKx/4X7HATSPpr2Pg1aNKV0xnz6/nQJJllxzik4bT65Z2XskuRCc34SAkRk5Jq6U6Z0EkKs0DSte3XjGs7vY4m8TiDEEUcjLu82EeB+TdNqJNSvMsaI6P7934/p3z/kxBNP+H05OXOBux0uVwmAQAQ0JGdJ5Iiq1+u6vgIpu3bK2PW8/2TugF2Rm1vvDdth8oly0kob06K4rTveV3sxCkVZQWUXGHfuH3NLk0uTTZqmVSdiHphjpRM9ylFOcrhcmcHcxD20HnegDgihqAjinDprTbZ06VJPeXZ2+clnnwtBYI71Jvg6FnQjsTzZDHAs6QwmKbLrnoz9GsUIdQ7Tka7r7VEcpd9omnZDTfcSiKlpO8Im3jWpbnmDXeEWs8Uv2/XOFnUbFQyKzvB+pet6OEYbk6Zp53VeFSQXfmJXvtfI1WVbPTvzb8ym3JoIiJ0Z9TndPprOI3f8UU7Zd9/U/qR5ucnrQKVLK7XxBFL5A47in7+MArNDxgV9tgAx/euapk04z3ySgMNjd2HNXI8AWuCQOwGcdrsdmJP0zDNtvVlZRL39i6d9QTdruIwIHI7Kys2+XZPHL06fNnKZ+ad1hQfa5NEQh6w2IKjaIywQ9wFvEWgjcfIRqqRwGQ65xpiDFZXlGAWYyy3+ktmPnQg/emlo9o6ukz41xLwbo35nEF4MJRG7gR832Y9+3G7pK8tQjrlGjuOPV4tVd3eis1mSU6JUXCodbAXifeCuiDNi1YddW5yWUg4QQhBuiWRjfwvPt16tOjj/A2xG51GASUIRkfSXUpYJIRKllCf/znv/E+yiM63GalCaMaOUWRzAnr/RmfoBMev5R0jrfg2Fn88ncsER/jjtkY9EXJWGO6OircMgTZgBpNoeeQRTRER59tNP16tKURhstbKs86/4Lu76G2enkfrSaxQuW1aSN29ef4fL9VtN1wSbrus3A5/nfvqpt3j5cisqmnx/+Prt+8rDeAPVkN2oonZjyzSjUl5Ds7vFajvHp4a3fmY/8duKAM7kmXNcy2J/rFdgzmtoZOi2okTEN0PlTe9X/dddJkxXA800TTtvI7/Tbg9Hsb4M4SxF4fjkadNmAcd7aD3yUcjkpyTy+ZpHCjKDCWfj842mFqeEhnUasYV94dtxGa1FvrhI/7+ezjIt73XsE79F/im6Vtd1L5CtaVr96l6vigCda0+/PTza+1ZJgdUqhPRJKWaiiD6ygVBN0yKrG8eYe+OnHl6op2Ql1Bs8/1IZXRRmOCXpA7EX+HH1e80aeGqHXEeQXJ3Tbo9G/cZuQq3jyc1dC6ZM+eDIFKA893PK48opwiEr2qUuxMEb6dJ9QMPvf2XHNSdoASRw/ztRqJ7aAUDzbRlJ1tPtozn28ERMmLB56hxPK206qvHRzB8FYhuqrv+sdDIMSMVRfZ+nruu/oiLT+j20HrGo39nZUoRTzEc5ioY45MHga7eljUw+GnlkST6nWpQLL/XKUmld1ImEchvACYR/OY+/cDO13TpDFYtRkPj2axJZLdOVQCTHl3EkshzR1c1l8xrINVVe7w8sjCiy5p1q9spL4WXW689QcPnhiJ3sjNhMgkyiz64KQicpZfUHib/LghRg7gQ+kLIGOb2LBlx0ptVaDUoz9wMmKeUbQojCvzsyrRNViyED29Ji/VEizWZ8UmIWYiYwpirAxmm33xw/fLgzvF07S9bEiX7Ky79GURRWqsUJxGAUKtX9bvcmXZpPnLrbe/y4OP3OO6C0U4c7XK6qIgCVTNd1K+CRUrqyxo79CtU3F3b0klK+HuP2bbu8KKWwyVuXoCLDnkAyqgaGN8pUtuqj9NDo3cX7L520/3LcGRVO32m3d0AdWALqIr/PG3/i6QV35vyA0Tu3VF96PQoB+qKmaU9cyHo67fZ4Y9xrAVErI8MnWvw/9s47PKpqC/u/PSW9Nwihdxh6E1A4IEpT9NpxECkWpAl2FAv2rpQIKqKiMhZQFARBFHIEEaWXCb0ESAJppGeSKfv7Y8+ESUjw3u+z3e/mfR7+IJnZZ58zk732Wvtd79vMOEQbBoJfJbJ3rW9WZ7jXojKWSiWcjEHRHJ7YkI5PHd0bYy99JyVy1Xcbux1cnZgW0Ca4xACS4wJxx+9tUHRdP4oi9Fygk+zPAAX6S+RGAM8n4sszx0Ov1z9v7JBSBAEVkTfddDZE0xoZDIYGmqZleuceiVr0bkC5pYQIBKVBFYQ4AjLplxJAv59ieeFJA9lTfPrLV6FK8B9omlbFrs5mscQDH0nkEIEQW4YUcLp5+TNfxeTMwM9pxe/e8rhIgBeI94FxYUUBetFj3ZI4F9OStUOLQPi3lmQfs9YrO3V9QuPCFSsfL1rz3QSUzZg80aYs7cVFaU2Loz1bJbIXNpEOxGKVNXru6rr+IPCqE+fMK7Ur76e616hNfI8iWIUxbZ4DdRRwG8rYO1YgcFLB3vBt7sNB+4xu4QbJaQR3WWem7kSdvX6LVY4QiKdRJf19Elljm413M5FmkDTS18FlOZiwerPS+GTjoWZZYz+9Ydu7/X5paRj4c6vKs+BCj0NudaWJn1puZZ1j8tMnwAAAIABJREFUL7+k+rwB/lIHmJ9QZhhDUZ0ED0opt/5Z1/5vRV0wrQav08xwKeUknwQhKlB8AQyQUrr+4GB6gZ7viNjYipsSEqRRiEAUKSKZah6guq6/DDycM3duafmBAyGoALQYb/AViCRUScvI+daDfVJKS8bUqXvxVPbWbUUxSGvN/HRdzwbCNE0LHvlGPXNFmKFw6CcxQWG5EO2Mo1txX+o5k0CdXx5H9UK+TfaUvV5G7QU6uz7YLJbLgfcksll5sOTb8Tns7V189+FuZQt1XY/E296jadol/8lz9ZoGfByi9R8YfctI1q19UCZsyR987/rDVXfXF2Gu4lXC2flM89TC9qEf4Q06AtEWsIflGt1zBrfcE+Qwdve+JxUlXVfjBkXX9Y9RC/YgTdOqSPgJxA6UDuzLEj+daO+iX5hrDvv27VazUP60AebGjYlL6LBLW90o3YChNypYAFAW6Cx+bfKPoesvPeQKLjc3WX2lPROb2AN08C+Lensy3cARTdMuVJUCYtPNmwYti7706vfjMLkETTvk075P7smo6Y4m/q+rVS0qPlm8NfanZ+plRzzef0sLGZ8bpnqbhQekoQTFYF4KLCJ7Somu677+6g81TRtns1hGukyeBSaXIcojJB4Dy0xuMdY6MzWNi/R56rpeDzizMXbjuSc6PBFN9TaSp1rvZnuPTvzaNw3Vs1xZTj7aJKfskxt/i/rolt/WHm2WM9RmsTRBsd37AZgC3GlX3X20SWikyyaszAG2oIJMYm3m2wKxBLCOP0rhol+JYNq8S1AZ+SDUhkEAFIY5XBHFQftQwWuByJk6iL9IZ7dyrsoBRgeel1J+JYTYhyKhTUM5bX0ONJd1waMK6oJpNdTiNFPu/efwvqwxcExK+R/1+l3kmhfoaC5p3/5T78/uowYPUF3XLcA+6fGsypgyZSNqZxwCVHiETL599/4bpZHGwFSJTAbQdf0tYBIwMn3SpAwUg7SFdxobUOXWCxiCP/2wYb00iYG97jmwNSsoq1vDzCij8EiOBu1nT9hWyg0OTB5zkUs477Wm2j/0f6+u63tRu9sqOrvV0f3HiB3a15Fde6yPAMUi/QYYmzR//knAoGlajYvmRZ8rIrJbWrusN04sCMj7+CPKftmCQRr3988fuqGBs3EfVFZcI3PVXwnHP+gM0Aa0Q2UlccBIifzcZrF0Ri22vg3KNpQRQJUNiq7rI1DCEos0TbvTb57Po/RMd0lk1TKpTWwG+mCVgvjkXi5ck1Kj9924v97BUHdeHgkViVhKursSnY32ASv2tE1/r/PGl/agVKmukciV3nEOo0qapmpzygRqFNfwK7mnvd+t7VWB5YZPDEZPF+kRSCmqyPPpuu6Te3xUu3HvKlSgGCKRzQTCAOBBugyIg1y3rD49fovm7lJj9Wv6Peujmqa1EipzPTPIFhU85sXEUqNHhAKu5p3PyR5DM4tMt1/Y5+nDqk2ryg+HHQ64r8t9J/Oav9w3uihkEqpi0RbVY6ympYy2fwDeEdlT26NariqNySs/CoulPfAJyK4GoySqviP37rkZQafaVoQCV0pqLoMKxC0RBUGf3bCyS8l7izqaDGcSA8mplP/17GuTUfzK1B8jdnU4tWuPJeOCMvlfpbPrvdYFDjBCiDXAS1LKFO//jwK9pZS1Hi/9L6IumF4Etdmz/ZGZ6e/BS4qYgyrh+Qg2j1nt9re89m25mqYlepmHL6KYrYHH25WxeXjB0VGv12/lo/nrut4XxZxcqmnazd7xR6C8B5NQAeXbQHfwmBtyx2ooAf6+5yyh8Xuebo7lheMcMuzF3iajfNynve8zeYwf2hIWBKAy4mtQu+tMVHb8tfea81DqN6M0TatxARCIyXh75z7q2O4Zo0e8ihI/cMdOm5YX2Lp1vBAiTtO02sUFah53j8lp7Lh20xoiUovKHG98EHgq8JjBgJHWpR1oW9opP1iGbkYFwqV+jMsLoOt6BhA3QBvwA4p1a5PIKiIFNoulH1U3KDoqqKZ7x/AFikOaprX1zvEyVBntQveW+ORGXLdsG2frJ7D5Mic+6y/wbJndXOTv3CzzVn8tEFIA2cC9o+yp96AyxIUSeff5yYlTQAJWWYXMpev6tyjXng6aplX6f/qyb/zl6mxCFOebPFtWJjmyTob6yqsbW5S2u7dD5JCR295s9UjSqlxPy8WZvuxXZiQUuH/QDpp+6XF8/oLxGyd753ICaIBV1qiO5R/gBWI30Al4foml/RMoL+KZQIjB4MHjMbwCzKjestR9Z+NOIwvG7e7h6Uff0faSwAqjf/k5hzb7g+n7cxAf3Gn2lb0FohFwDPU9bi2Rx2qa36H7Y2aeOxv03NFdUUjgTOOKjMSTgX2tdvt5Hd/45GBgbFGIY/Shlll9OtuTMLmNYHJCs2NwuM03wIcBp6c7nIHu76imdPZ34CIOMPcADaSUTwohWqPkGhvXZaZVURdML4J/QjD1oSYP0HrPP+8yRUfXA8yaprkBQgoMt/TYEPHZLbMTiM42Q9XgK1Dly3RN06qU6da3HDKzyFTweImxKCjIHUzHkp60cLTFgNHpDDEc3vxh+/ZfJ3zFbMs8J9Cseo+bzWJJRAUlnwfpceCOpPnzS1C9dl9qmnZj9fsSiNao8qjHf1xfL2lQhw6hsZMmUbBihV68Zs2g6r2kF0Cdew76aviueQjRdtiP7TgyvRWO+gH0nH64NMuUmfZLxI/1SoxFMd7C3g+o0uxFtU11XV8BjLiu93WcCzx3ChVganMLqb5BWeW9xjlvoIjRNC3Qe056Bh8DNH7eb6gNzC1AN9SZPZgrwBmQDWxGZU3L9WUddwBdchYsaFy+d+87qPMssWVIAd/dnptxuEtZUtVJiWwgGGvV762u6z5ln1c0TXsEKjVofdn3ebk6mwgHCqkwfX/wiXF7Twcdn3w2ICMowBNI+9KulM66EeFBdp9xdC3wSeDpaVpFoOcu4CeJ1PzmcgaIwCprdOPRdX0lcPXUTlMX743eOwavtq3f8xVtL8lxHdwaa5AeAVCK5Nmbs+/aa8I0ViL7lQY765V2iiP1oSZ0eexIeeShsm14JRrJnlJUfXPhPdM8CTQEJkhk7WYENnEPsGB8dDDdXm7ojMk2m5HIcHfkjkHnrs0MkaE9UQxYPMLD1i4nCawwHetibziHV6c/SoDbp2QUzf8lw/zPwEUcYH5A9Z93QR07PSjlf+A09D+CumD6XwYvweYj4KqQPn1E9OjRFK1bN+vq5557WiASUSUrY8tdQT2fHtX8QdTCXGnAnTR//otAwz5j7Q0Cij0TUYSbdnjLnWfMp+S28J8pNJ0TQgq3FPId/dpz9/e57oWyIlORuLfrvbdK5GcXmV9LVJO674zT3mDevLbCaMzUNK0KacW7aGeiiD4XjGuzWIS5YcPkhMcem1SwYgXFa9Y4UDqvs6pkIvHJrVHnnsPwU8LJTCggPif8UOqjzQLOdY1oCrTTNM3XiuEjNyXiV1a22u01nnm9vf3tR9oVt3vpubbPeX6o90Pjf6dh3maxjAbewGdJBp8lzpkTbTCbhwHtBl424OM2R+v1ePnpaw5d832nSLwLsBfqPHHMog502BfCWGf1jNLnKzpW07TFV9piBsdlmtcOtsUQ4BAIxCGU3rIqV9tEAeDGKmOqjePzOd2haVp3AIESs8c/+45PHkhIyXTMFddQEIXviDHXlFWxI+xnQ3bAGZO/ROG1s+f0RZW0C4B4iTyvLGQTeYARq7ygd9k7p/HAolntZpGSkHJe27bKwxVu17GGx7a+36M8I/CkpdzgIKGiAZ1LemEIjZBLr90pKmIDj3XuO745sELTtGurvT8LCMUqQ733/DnKv3S1RF5V07x8WP+DeOvyLCaNbpbgXDDy4Y+KnFlX7Q/ZVf9M4GmC3MG0Le0sW5VZDsye9JP7hfu+75AfVfa9RA7xXjcXMGGVkQLh075+XCKfv9g16/DPR10w/S+FzWJJCmjVanX8ffd1OrdkCSU/bzry6JdHQ061rWgA3CeRs72viwUWIxmOQMRf/i9PwI2DDb0mHiA4u3J9y0WRKD4GltkSFnhQNnGPAkEFMS7P2WeGGPob/oURY4Smab9rJO2VKPwI6BA9bhxBHTqQ+eijbaw7d1aeIwrEKmA48LmkduPglJQUhzsvT5594gkTYEJS3Lq00/oeJZcmoEqAlRmOy+A58/ijK+OWX7XHlNYot58jyLVJ1/V7UJniC5qmzaw2z7EoKcQYVEnzE1Qvrb+PqtHsNmes3LwyIS8g78Stl9za7Pfuv9o17kWZtUcENGvujn/oQWP4F/scCRvzghpmRvte5kRJ1q1C9aqeUG+uuuj74BVI2AF8M0AbcBNeXeC+30ZMnfxIw/EoMhModarbrDNTtwKFWGV9qkHX9XwUwzhMICYC81sfic/Y3+eJTw2I4UArfL2VwgNhRYUURX7knWeq9x7vCbn00tnRo0YFnn39NffCW3/mx5vOGaRJaR9XfSCiGCjDKuOpAdY0a71xaePOfJv4LXNbza1kNhOfHIs6i/0XJmcPXKrq7cIl94VudxwM2RPsFi529i9i9Zjc3NTepfEpeko5kKNpWlXZP5vIByRWGS0QVpRGdTbqnLTm6kd8crwjwDkpo+ORp5pnRAgyK5N/CaQfDN5zelforx3cBleY0+zxfPBkpmHj1QW5ngDqVY5pE0WAQ1ixochkWySyT43Xq8N/FeqC6X8xdF0X0uNxlxw8SN5bc4U0gL1biaPzb2G9rFkT96FKrncC/cuFI/FgyB6OtMwh9olHcH28yt1ijePtpuWtZ5I9pcZszGaxGLcNLFybdCxwULPInsTecw+Fa9d+OeKFFy4o19YGm8WihY8YsTJi2LDwM08+iTsnZwMwepQ99SrgHeA0qvev1i+iviHFjqR9b+vONYcDdw88HGwPLDOWUq+iIZaSrqX1nQ1/QbUAfSKyp25BlaNekshHvc9JlSdhq6ZpvWq6hlfZ6GlUydWJCr73W+12t88t5NMtnzoTyxOdF+3vrA5vAPDgue504LHO9og9puA5j1Kh/0rp9l3y8tRLPosoDV5A9pSNNb7fb9G/4LmovtWsAdqAAyhFp0qDaJvF0hslpNAGoE3PXNmuT256yARnoxrG2YiUl8W/uGlOviFvWmd7EiFlAf5SfcoPtv8GO9d9NQsDc7CeP1PzwSdRmP3jClnx5RpRFuJ2B5ca38RPns97Tw4gu3p7jQ8CsfPNXW92aV7c3HnNdSfvQvUO90KdowMSgsug3tlznGg2DfiM7ClO7avIXrFnArYMWxwrQouNACfrPfecyRQTkwgYq7Qj2UQpUCisdEcdSRiA9lWMyeOTzai+cqv3+lEAUngQLQ9Dbtyv5MXO817f7X3uIrdexTMlkZ7HGx8Kwm2UTqNbzAUeGZWaeovjQz7ZGIi48hbAiYMAYiTyojrEdfjvQF0w/S+GEMK6bNmyT6Kio8TNbYcy7tkkuumhGDDQqqwDHUq6E6ja8NwoK6fvtiVs/6F4zqhvS3/9lXybDZSbxm1Wu/0C1R6fEbLBiVx464B1LabOGlawfDnF69adAx6y2u2L/p156rr+L2B5wfLlJcXr1oV6hJRLp2bz3ehctzNENpfIC/xGiU/uhbd1IHNgVKNDkxuJ7g8cJizNUV6B4+DGyO8Dzwakt/au+BnAxFH21L4o8/WdEtmt2hwK+B1WsJfE9TTwEIrJ7dg8rOCHt15JvxoD6Rv0DccEoh9QX9O0szUOUssC7MU5h6l827fvRl0ZUmwg/7nXQJVzn7ba7a9eOBiVi34tGeURp3A2v/KyKwWGmg2ibRbLYFRrRWOj2YPbaVgLjLZmTcxB9VaOzukZPsj+SNOQTrOOEbWvGKfJXRbgMm0BPgMWkz2l3DuXsSiC1dNY5ayaprteX+8+F5BnWLznnvSRc+vFo1izpSgBlBetdrvEJlzAcazK79Uf45f0+WTgplajukYOkbmDk8RlY1IxOjygmPT7gOVc8/XXDPrRjrfPEyrPPDOBem1/C572xLhmNwL9Qvr2Jfq22yhOSZl+1VNPzfF7rhUuyDRbAcWSnSSRC4hP1lBkvwEodyXfjsJxqsG5nPnjNjYM77Wx6LETjnD8FJx8qBSn8NBs0iMNfrx0ddRlQKBbyoqvsrPFh2/kmLv8C06EApfiYAt3/FnM3Dr8tagLpv/FEEKcePfVN5u07tmVoOT1XJIST5GxgN2hv3Iy8CgGDAS7Q7dXGMqvumn/zsrFX9f1bOlyRWTce+9R1HkpwC+A1Wq3n4CqixNwu0R+nJKSUu46e1ZmPfNMAGqROYNy2vjqYvPUdd2It28zbcrEl060d3zQcl+wcJmkNLmEDbjLmjUxDj8lHPyYq0WNA8/seKN1g8Csiu9733TlEN+4vl5SYKBEsnl4AV9PyHFktKyIq37Gpuu6ajGB32UFez04Z7sN8h6jR5iOWcoILjLM6jFjkRMVFKp6pF5kAUaROb5G+azmCsSWO47fccmok6M48/CMT2Vx8c2oM96aNyg2UQFkYpVVCGMAn2/5/Jv65fWvGdt9rPNE2IlG/trI1ZH3epDc+lVzV26+MAV6grCUdJetyizCiBFniKFi84ftA06c3swLvWevONgq69oaB7FVugNNwyovkKQUiKFLfl3yXaIjkWldpgXN6Ov2oFja41FlYuXXOzP1LWAvVtmZ+OTmqPPu4R5kG4M6Rye3S5hn3+PNDM0/yPi50arcCWRPqWQaYxOdUeVrG1Z1pisQK1DfnaUS6WOqtzc1bvxNvRkzWp775BNKN2/ehWJXp2IT7usuo3i3OzbiqdeGnRjzxSVl+JezvVZ3qJ7pBSJ7aiBKXq8i/ws2RboYBMRgleeqPYP3UXZ16yVykJeNP88t5QSjEAQTxvFLA3kgaaOyaviTxRfq8NehLpj+F0MI4Zn9yJ2i89BRFH29ArFiD99nFfJuyU75fvvWN6J0RuujznSWo1SSCnRd96m/tEifNKkpSj6uqXfY74HbR9lTF6IWp2USeROArusHgNZnnnwyyZ2Ts9g7BihJwTusdnutDD9d188CUQO0AWuBEVe/F7/n9teTWjsNFUEh7lA6F19Ck/JWeL1YfczVD4Fv9GUdoRYWMsAzI5t1PtnGseOylVEGc7nAS+wYbbXbd/pdfxbKCeY+TdNm/+6zRQhjORn9v4mqP+aF+h6z02AQISHnEl99NdpU4t5y2dj9P6POe2tbgN+uEgDUmE8CT4/IGJH1wOEHEoD70ydNeg+V7V2HKjWeQdmh+ZR63MBhrLJttbGMbQra5L2z652IfRH71k/uOnkQ1RGfnARMAHkNRndn3CayTWfYHbaFrIBMAjyBMsQduvLGrT9/P+/wwmS3cHsmdJ9gqrXkbhPPodpSbsMql/j/ysdMnXFgRuDQs0MFVSUKQ1HfsZsAQ2J9Dx0qOpXFH+jnQSk+IZGcjS+SGy85KorDyh9pNXTcEneY6TQ1+NFiE5ej2jPewSrvEYg7gPfweY36zV/XdSHdbnfZ7t2uc++9Z0ZCtCv2eKfYTs2i0pvVXM5WzNW1fi0zSuNYmUhcLW08DPQHDFjPX0sgrkER2fKA+jJ+nk8QZFCFdDZJCznIvpDtRBrjGZT6ne9tf7osYB3+GtQF0z8BXh3fbUC6V4pwEUq3U6BIJmOllP/PzjNCiBNBpoAmPbvU59pzZuoHqLa9I2Vl5a1CQlpZ7fZTNotlPPAq5wk2Hye+8cZeQ1DQ68AzmqY9BWCzWG5AZRH1XSYpbQ+eFetvOJfhDJGVi5Ou6++iMrBrNU1bYbNYmqMIOz4CxX5UC8iFZt0bUr7DIIZ+e/hlrvuyrafPtmYGgPSANHaGbabIVIDJY3ZJ5Gy3wfVw9b5BXdfTUK0m5hqk+LYD3Sw/hyx+7O6mPTjvy/obKhM5out6U9TZ2A+apl3J70AgvkYxnb/a3vTWe3PNWWvyTNkdYmY+REChm87PpBHljoHzC/AHwBrfAlzDeD288yl/wv7EJYNyBu0GftQ07Qrv86+HImwN9r7lBHCHdWbqj8BOrFXL1gLxPZIr125aS6An8LCmaa29vY1jUKzU7ijBEUBCaAkknMnieMtJxwIPfL0lcsODeIU+zjSqwHFTb/o0H4fBYKxdXMMmfD3Dw7HK7/x/JRCpQLubT9788aTjk0bjkyhUrUrXA7c7qeh7KGRf3P6QXVQYymnoaCbblXbeG+9KXBB+/IG7isMquuGnbavreilQVt2PFpu4BVWCfllYeRt1hHHea9Qf8cnil7fb5GIQUa0n6oWpobsiTwUdw+wJoFlFO5p62u2IK45+B/9y9oWfnY4Knu9K5ARs6vuGVQq/18RHnQs+ffmm1ub3plsPRReGNMNPGOKkO8+zpmK/aXHcz6TmppNf7Os8+VME6xuhvkv1USzyd6WUc4QQn+M9Q0cdP+RLKbvUMkwd/kPUBdM/AdUdZ4QQEVLKQu/v3gCypJQv/QHXqSJF2Ck0lDsbNJCxZrNALS7foYJbrrdv8ykgDLPZ2eDNN83AlgEDB1ZhEj53U7MZzkD5YpudoXiEdBukqDTg1nV9IEohaImmaZUWYDaLpSMqqHby/mg7cJs1a6IRpbg0JK9DcLO9s1oaLC+dIHpHgcvoMRzEy1y1JSw4hSofTuK8F+tTVrv9Dd81dF33tS5cqmlapTqRoDJb2iORnb3zGYjKhHys2/Uos/PjQJGmaTWySH0wVRjGWg4mfnDbsp6OB+cPKhaIOIAKUc7WySGyok8LkXn/A+CRxxFynNVur9EhxG+OgUAWKrgNk8g1tcks2iyWpihmaV+QRMRW0GNI5q76M0u6+o03BZgn3JzctHJduJBE9bn7wFn8/GDxCs8Dy5g0dyNtDm8FvsAqb/G9YMJjSeJwl9KioR/HhDY8FoS5USNMSUnLyrZsubkm31Zs4iOUOlhPrOd7IgViDl5maoqe0hePdIemOYp6PHQkF2jCeYnGCszlRyusH7T7ZX9ZXvqJoBiA9GaOvFfePRWT08C5VyJ93yF0XfcJNlQN8DbFOHbCjAAr06nuNRqf3IPzUn2NT42IMxwbk0jvO/dXBOQ79787/NtW4vDJkLACrzATfImqrFzAUheIh1DtWEck3jNem9gPtPaK9I8BRu5veaZfq+PxBpO7UtQpB1VdWQwsFzlTb+UvkgWszf1FSpnq95rXgQIp5TN/5LX/l1EXTP9g1OQ44/c7geptPCGlfPkPul5NUoQelMlxPGqxWArcgfrjfRZ4MO7BBwOFyUT2Sy89jSLASH8j5AmPJn7ef0X01fgZcAdfcsmDMWPGVABpmqY1rzYVvm91+VUOg2NxsbEg1oiJdqWdaVvaGbMMkBu0ox6mjDDml2dmXD/ktqTq7wWwWSyBwNuoBduIKpc9ZLXb3/e51wDzNU2bDCAQfYFN1KQexIW9pHH3318c0KJFuBAiQNM0p/9riU/uDkwsDawYUhxW3jAht5KnVIHKuL8FFujLOj4ETMt5550j5bt3++QkLygrV/mMEJtQwvnzJXIy/L7Mos1i6SiEtElJB+8o24HbTt3cskVqmzMrh/7Ynlu+6epJH5FgPHZ7Ir3v2O8KLHAdRunazid7ynn1Hpvoh1JZWoRV+ssYfgNcYyznK9s1g6UsK7vBnZsLfkIfVSdVma03xaoyQIG4ov6ZiHVT3+tf8cjcKw8YpaHtvocbB5Q2DKLXvYck6jupSrLZU37DJny2eIttz7d/pSDG9WVIsaGt8Agkcq/ZZbjVarfbvc9oNkoP9jZN05b4zWMm8FzfK9n5SzxdG52KWn2y27PbUSpc7agqFXjyjBZ18uDURv2B1wZoA+KBMYMy4Y2n4rfv+zm+Jap860YdK0z2tUX5Gd87gUYyfl4OMJRB65ZxulEIB1XlXSLZ2vUkpxPPFV6/ustT+IQhqn8P/kJZwGrX/QZIllKu8/7fJ1BxuZTy8J99/f8V1AXTPxg1Oc54f/4B6owtFeULWFr7KH8MbBbLRO9cIlFaw++jynTE3X//qYCmTetl3H8/uFxFwOOj7KkDUbZU30jkv7zs1ueAB/DqA9d79lmnMSYmZMCAAebamKv5xjy2h23ynA1MNwgp2Dyk4Oy7L6TX+3j3Z6565fUcv6ez6/VifR91jqiITsHB9ya9/voXgF3TtA4CEYzK9sKAyyWyVscWXy9pcM+eMTHjxpH74YcbL1kbNybJ2WQc1RbgcxGlfHdFKgnZ4Ruv2NjmQbKnVLHJ8vdITZ806Tm8vbTeX1eWlX2vF4jHUBurg5Lz555+Mou3appWswiGTbTNOhi9f9vyVuX5ruJA/w2KwWDC5Damn+kXefrgtMaX4KdgVMM416Oyr9exqhKqQIxHZe+V54wbfvjBVZKSUl64fHkQfkIfVrvd5h1H+deuGRzFdyNuqTC5RjmCnP3Di4P8zx1z9t/b0J3VP7qescjV6bKrB+2tNhefkP1cYWUGcDYmwxT+3M3NT0aeMzX2vupnVCUhzvusq3rALgyZvf9Uh2lfhMZx/bddZIcDicL/+igy3WLga7KnuH0WcSeCTxwb22tsc5OHwpIviAjwsMj2fPu7UAzwJ/BqWwPzPr3v7Mxv78zNtKQmRi+ZOGZV59SkNqhKh0o9o85BfnTq+r6HDtz4waLrz8WU5gMJVcQp/gHwd3/xq471B96QUvb4G6f2/x3qgukfiJocZ6plpkZgHrBVSvnBXzEnb0Cs1DNFLRazGyQnO4XBMPPc0qW/lW7Y0B0w7ulTzKrxOQX7+pZGVxP4rjTgDh0wwBR18800vG9dUYtT9cO4kLn6FUooPtdmsYwqinItCM83hRdHumgy5r7cwDZtY/9dnV3vOeLHeIlO8Y884jE3aOAecMUVAQLxG8rB4g2JrNWQuhLxyYGbux36zvnYDQPzP/8c8eNOOpX0pHF5SwwYcoBfbnmGnYT1AAAgAElEQVTn/fil/9rVWxrkComsmdFKZX/nGZ+ik81i0VCByafJux64bZQ9tT5eBiiQJJG5fmP0QsksLtM07Sa/eZpRkpFWDO5L8RjCQVBgzOPnhJ/Id2fiNoHJKVZLIW9Pmj/fQTUFowsfpPBJBj6OVT4vEE05f87YSqL8PHVdPwY0yXj44QRZXLwYtfkTSE63L+36TpfG4dNJbxhLoRIukkhKgyvIiis+3exU7JuojKxA13UfIejCAG8To1EbkGeElaGoTdgciZzu79frndv3DZKTrxBCnNFu2ncnihXcTwpZX0iBR3hwG2SZ2W3ciZIKfK+mjBBg3U/r8o+HHo+c0H2C551fuf/uo8zGb3Ph/Tt5Ccl0BAHBnjA6l/amWWlL30ZBAulACo88fy0Nzkhhpbn3ZwFQgzjF34zq7i9+P18AHJFSvv63Te7/Q9QF0z8QtTjOfCWlvM3vNRrwUHW93z8b3sXiFbwWXobw8LLEl18Olh7P2icK/vVQzFnz7qs+jBNhhUZQ2co9Vrt9pbd1YRIw3I2r1YG2Waac54aQt2gRQVvS3C3K2v7Y2tHxPp8Sjj8EoglwxLI51PDwxMalYW07hsVOmkTB11//XPz99wOtdvu/tYv3EZ3Chg3rEzliBNsXTM99bs6+2HP1XHaJ7FDjmxTxZQjeBRioL4Etb7fBeCJHpi98gzJjqUBSjuCV0TtTD3sCanYLqQ5f0KGaL6nNYrkGJfbQQCLl13fnuL+5O8fkDJZXS+SqGsZxARnajXtHoYhdVfxgER4nSafNJGZuavfm9ysPtMl62bI5JPfRu5p4BMJXwv+8wbx5w4XRaNI0rWa9aJvwObpM8hJ2MlDnjHdI5Pt+81mCqjJcrt24N7PQUPDQ4ZC9tx4NOhDsFi6aOVpjKetGuCvqwNdD95Q+OGt5t6MtcrZJZM9q93WBRKHfXKYDb87syJoXOjIUSJVIS5WXWCw3mTzmBS6DMzZ2zHhC2ljoc+dBTBiRSNeqobuNH9+wXUSEnHtt4eATD9X2OfkgEGLykcml16dfHzS65+in0r/OSEcF+yeZNu8l1OZlFNDLjTs6LegIe0O3UmIsItQd7qpX3vCT3sUD7iZ7itN7D8VAmbCSiyL0PCr5f+dA/JGoyf3F+3MTagPQXUp5+u+a3/+PqKNk/4GQUj4qpWzoZeeNRGUoo4UQLaHyrGIEcKD2Uf4cWO12abXbH0IF+IXuwsJAZ2Ym5UePDikyenatuDtXvPzOiQcNHsNPQooGSFb81OJqT5Gh4CiqzNvOiCmnzdGkL/FIQvr1KzxnzjFsi9g02Jaw4HuvuHslvOevmwGTvW/J3SaXiHAXFak/aoPhUqDIZrG85A3yvzf3Y1a7vW9gu3YvAzQSrWLfHNKSD7u0rbBZLOd9OOOT2xOfPI/45EOoc67vUO0YccB+AW+4wk0ZZT0aSPp2NAPJCAzAE8+MavZRx02hHqDvxQKpF5tRfzsDqs1zhdVuTwLGpjcvd1/3brzp7X5t5BJL+5E2iyXYb55NiU9+OWZroScgz9lIqjLcaFSP6jHUOW8nZk+byEOv8su9n2w70CbrBcBl71vadZQ9NQFVIi4Gbi1ety5Cejyh6xYvTqxlvj71pDxUBlcfWOEfSIlPjm41/7QboPX8U+uA/RGeyPHdiy8Lujp3ZFaD8iZ5x0MO8m2cjfnt5prHvv5+t6MtcopRLNcq0DStBNVT2rb67/AeBaxLZAiqmnGZ9/qxxCfPID75N2vWxI9uzrkz9sq86zAfPIsnKpgV7VfLtVFfrg44de83Iz5eJHo13sXCnLR/N4C992vMr0FGjNi22krZeGk3Ph4ND716P8pa8SPUxivYEeyyL7rvkGfiur0VjmDP1yXGIsOxkP1jbQkL0m0Wy0ghhLXcSchzTYgD2pDBwX9gIBWoDH+/fyD14grgQF0g/eNRl5n+SfAzFr8G1ToRgco4dgMTfecXf9PcrEEGw8LPkpNDIpo1I/PBB/GEhTAgbaCjoatRULlwYA/ZwaGQvUgkoe7wdInnX9ce/HUbgK7rOUBI+qRJrfCKJniHPooSV98oEF+gAtlKibzGd+2UlBSH+9w5z9nHHzeiymMlKFLUKzUySP3wzL5nki7Nu/T0qoivaD3lh/SIPFOSQNDY0aKoR3E/c6AM8tmCSVT2lYIqPVaep/qxgvtpmrbpteEtg3++uiBn0NLokJgsM6iA84DVXtWX1R9+vqQLNU27u/rvfQzQPqsisqc83DAICDd7AtwdSrpntSnrFGHAEAqQPjiGI3cn0WXGET3ySNmrwOoqrTU28ZAHXkm8jqKsYMKB2yTn+zu9G5HHAi2Wp+ImTzbnzJ3rKj9w4HXg0WryffOBidY+vPJpMx4Gzu679LEky6FEX0Z2CRAjBWz+oD2xWws8bd9K/xGwAUt8GVnBnICzezbHx59IjRSuAElpmHtfdI55hE/oo9oz2ogKlFXUoko/E/NCPEyxDBHMemjcyzet7NrZe31/ucR81PmzbeP7bYo8EQFf5n/xhaskJcWU0bScHaOyPR97Cg1GQ9U+z5ogENc0Ox77zbQPrnB0GXhPUJNlWbLpF1neDZz0gPAXZjiEanWKAW6QyK+82tYfoUwURJ7TKTvflSEGTy/FUSqhPqU4/jyj7v8b1Ob+IqVcLYT4ENgipXz775rf/6+oC6b/gxBCnACafPTqyzTueQnuVz8m7+gOKgzlxFXUc7Yoa7e0RXm7h20JCxJQwdJXhvsVRQx5B6UF21jTtFPe7PAT1BkmWQ0qTj295ESj/ATXBSVTXdftQPv8ZcvCStavn4tqLTCiFtCHrXb7wtrmbXQaNr//67t9GmcnyIF3nzyXb8yL2Ru6FdU3aCapvGl2h5LuT0d4ot+tLMlVgx8reIGmaZME4jPglpACsXZh33YOavFlrTaGT9Gp0pe08tkiOgoPu7rtbuRef929P4SVBPTICDgZvyf0N/LNuUS6omlV2jGtpaPdy1sWts9zRps/A97RNO2eCyZrEy++1pYZD6kO00pln+r4cfnyJsbo6BNFq1Z5ilavNqBY28/g26DYxJJ8M9Zrk5q7xy/pa7B+2eOM2W2sT9Xz7lTg658+tdwrzYYITdMCL7iQTWSP6U3MWmOA4aF7GhUkngz0ub58j2rB8lfZmokir51Xi4pP7rf72vXfd06LCpK7uyDOaxU4UIzo5cC7ZE/J9hvHCDgdwnHs6aKbm90wP96QeCKQqAQH+VlBTwLPXbAJi08OB+4oN7tudZrdvUJLlTDD9ldaYixzyy4frD/G4DUtaHXoSsY6Kw29BWIdKnNbLJFj/Yfc0vyGzqni+LagwHITAkrrBXJXwU5lNVCnYlQH6oLp/ySEEB5ATL5xMNfdeg/5S7/AsXsPhW4XkSafmA+HgDFWu32Ll2DzPtAcIKR//8PRI0e2AmZqmvaC7w02i6V7eaDHZnKJ1m6TxGmWu0KLjTdY7fbKNg1d1+ejVGFu1jRtqc1iCfeOfT2qdHoW1Z6gFIDiky8D7j7eKPea8JLAyIKrWpI+PJa+t6c6TE5pB75ZEbMku9hU+Cx+VmfA3Va7vaptl7q+GUUISh2gDXieam4htfmyWu32DdXGOQNEVwad+OSuFSbXxLUDD9zRY1djQ2J2hO+lTuCAG/e3K2NsCaWm4tvx9dIajU8nzZv3CnBA07T21ef6xnaR8nBXtHAXOfkBJPzOOW6Z9HhKM6ZMWY7yRDUKaSjsUNLjlw6BTfu6iyLDTa7Kz9bjva/vUc4ve/3G+Q7ljVppV+fD+7+I8jv6EIBX+9gr9PEWSnLSgwqG46x2e5Gu642Q8mRkasnJLk8dLwJa45OIjMyH0pA0nAGrUEpRF+hC+yNFTzmTHZBd7+Y+NxNYIiZtfTDmhaO7oqNKCwMACpE8Zs2emInamPVFfQ+QSIrCysmJKT7W/GTcqz99ZpkkTYaOl6YP/cyEYyTQBavcDSAQ9wJzUGIZzWX8PBOq9H4rapMYCZBvyGV9/e8oT3RjXVvZalunYlSHumD6vwhfZur7/+DoaG5OSCDYaARFnjqH6lEFn4WX3W739m2+JQICGiS+/jqO1NTcvAULWvg8QH0Gywlp5oYzxzfNiTtj9gkSVBpw67reF9X68IWmaZUCAjaLJR74GMkQBMRXJDp7FfUXke4YEyhv0p97HZPtE67YnT28QRdgkqZpC/zvy2axTEG1oUR472MhqrWjSpaq63qWG3fkIG2QoCa3EGr2ZUVtLrYDbPxu/Q+eEOOgXpMPpAafdbbA6webHVtEVlxxseVg4lJUlrWl2riBKLec2wBj3P33S3OjRu6Bgweb/V8nEM3DnRyJK0c8nMqwe3rJNdU/x2r3tAcpO/YdbX9AOspvOBSyp9eh4H0mh7GMxPLGNDS0I72t+8yAX1rdDXxbm1JTbXZ1AqGFO0lpUIo8GEm4v/axzWK5C0VuizJ5zJ72JV2y25V1Ddv5WptQc4GLzs+eoMLkzls5ZG902aAf5W2GEwYEYVjlBZudmvDMvmfStVytwe3db9fTwtIGYBMnXMcaNdix6JKTpwKPtyg3lpFY3ojOJZcQ44qvAA58csNW16NPrOh2Oil/o0T2997bm8D05vlv7WxUsrQr0ACrzBSItgYP9oEb27iXj7lzVXhJUC9Ub7Ivcy8D9s4qWd1qTpkenc8FXW11mWkd6oLp/yKqKyd5Ufpo48arO4SFXY1iIpejCC4+KbdNqKCaZrNYxiY88cT7nqIikTN7tht1tjZhlD11EWon/51EDq/JgNsQGTk28cUXc/Hp7MYnh6IEJW4CupQLR9iBkN0cCNmDGzcxrvii1+YeN/04OC0YA8NS9JQTKBGFNZqmDat+b95zxMdR7UDB3vt4EyVCIAE26BvWGjAMHtFnBEUBRcotpBZU+rJKOnjPZwu7FV8qylvHhe9+vgXtX0kj/rfC3E09j56d8tLS9nvbZxzzmGTL3yMxeXtpPwwfNuzaiBEjROaMGVmewsKJVrv9K594hkFSf8ta6JmnFv0LBlGM5WuBMZkDooYcmtIouNvDhwk/5gAocojSfd82XtG4vCwvSSCQyJMCcZfVbv++tnnVZFcnEKHA2XAnofo6znQdLhOrXX+sB0/fs+b0+N1hv5FnziLMFUnU4GFOz7WXms/s2JBw68PPHQYi933Lfksh7fyl+C4GgbilQ36Hz5J3J5O44uym1h9lhWF0dcGtsmwnFXJ/yC7HgZDdwS6DC+D0VxOy3vvy3pxZKBJUPYks995bd2BbpGNHdpfc++N54tl27uKICUeb5ExtdjLWaD6vXuRzWVqLytwPQO1/N/wJKkZ1+O9DXTD9h6EGXd8lKGlCJ4qUMUHK//fG8NrUWLyOKa8Bk1FluTJUQIpCBcS1wO1J8+evkR5Pt4xp04pxu8MqAjzud5/NMG4ZVpgtjVUNlqsYcEvciQ8/5jTXSwzqe3tqtuF8BgxQhDqFWvptzKdbCk3577mNsovbKElr68hutSekv9VuP6DrejmQr2lavdruz3sfr6BYrz6i09PAa8vXtP91yrEpPd9t+u7RJU2WtKxxABUorkS11vQvMhQk7gvdxvGgQ5ikmSbudoWOdyZECLfcqV1x+WiUlZ0L5c1aq3tLdfy4dOkjpoSEl3LfeQfH7t0Ax59feCI9tW/pZeOPkLPoN+KAAKzezzw+uSswwTu3pngZ+Y5Ys/PXd9qa4386d7D93NNXkj3llEAkAcebHzeZ505MouBUpQ3rQVSloIoghQ/V7eoEYgfQ1bYJeave9ASzH1jnvb6/VKATOODBs3JljC2yxFR0JxBobtiQX2/05Lx+5w9xCN6VNi4BOmH9nbJofHLgweZnpy6/avcr2q9thHP6cJLW5NLiozMQUiJpcsLNfosV+IrsKW6bxdII+FgiNWmAjdcUUBLuHvfJjDMf+o0ZuWlx+7yIo0Wi04tHBU4llCSRnIssK4spCFmJYsGuq1Vj+S9QMbqItm4XlEJYEOq7NklKWeNnWIe/HnXB9B+GGnR9h6NaPEBlgD9JWXsm9UfBW45cANyOIggVo/6wIwBP+DXXHIoYOrStdLvv3PP8BEt5iLwv6VggLqMsN7nFy8CsSmKICgD3HA88dMPBkD2x5YPaETVyJPXuW+Vpfaqh3YBhFUoCr4qvqUDMiEs3vzh+VmJF581hPom4jYmzZzcwBAQ0R4neu7kIvPcxHy/RqSTMXTJ7/pnQuSVfYpCGLQM1P23i+OS2KE3XoUBLfGo3fn6wesTqg+lBaU8ADeIeeABjTLT7qitvKCgPlZUM0P/kOeu6Hgnke8rKdmc+8ECZR8jeHiPs0IpcTzTLOhQbHNCeJ158CqVM1R5vORm1sTmFar9aSPaUzd6+1UxN0xp5s9s0oNHSn8i58TRRtufbd0GVrn3i5jtR1YYqPcL+dnUT69/y+M1fd5t+8zfdytofjw3GVVmN9l3/R2ouZ5tNjRp9KsvKbnDn5JDerNyTdDxwmnVm6r1Ac6zS5P96v83LHUB/iawvUMIMRWHlFYef7Gh0Rprcfe4+kMCcqelAGVZ5gcZyzBnTseEfxTUb8kkMRpcgwh2V1i9/SFqkJ8YCxB6Y2pC8TmH0nrqTtPjSgy9MX9vmkxu3nnSEuJr+Gy1Rfwlq09ZFCae8KaX8zrsuPCylHPA3TrUOfqgLpv8gXEzX1/v7+4A4KeXMmt7/Z6AGab8CwGwIDw9JfPll0lJS5Lgxs9yyEab77m2od0+J6AuYAzxBFd2K+mQ3L28bh18A8OA5te2SdE/ZQ8Ob5n3wAWVbtzpQGeQsf1amQHTFTz1oiaV9L9RZY6OQPn2IHj0aZ2bm6CtGjvzk37yP8OJwl00auTo830T8EzOlKTKmfODtR54EbkAJqgf7vSUDpR7zHrCheqZis1jGRFqt74X26WOyv3Qv+7rlHeu3MrqD1W4v+8+ecGUmKAZoAzrFnzIfmfB8c2P7n0yVJu/tS7oSJINBte1sQRGklpI9xV1tnEoxiQHagE9QAgxrpI3OQDRWNYjNYumLcrnx9ehuRGkLpxGfHHhwQtIXZ66Mucby7NGK2N0lAd4SMSKkBOqfyeVYy8nAsurXrw6B6LzuxzW78n5dj9O20iOkMMQklnm6XXnGk/BIqdm7eZmI2ry04PzmxfVblxMlr075MXJXh9MbD7fI7q/r+s94yUVa+oAMIAurbFTtem81TI+aNHWhljVxQU9PaujO+seCDmDASOvSDrJNaaf9e8Y3CCsf1rhx4rn7aTNiBwjcGGgiken/6ef2V8GnrYtqtXtfSvm5EOJWYISU0vr3zq4OPtQF038QatP19f7OjGpNmSal3PhXz81f2k9KSanHI5s//7xwpqez7/u5nE0K9kxdetP+JGNEw2NBByP3hW6nzFhCrDNBtirtsKd5eZuX8AYAXdfNUsoK56lTedkvvRSOKicXAU9a7fbZAmFG6e5GAVXUg2wWy0hjgwbz6z/+eHT+F1/IkpSUpSif1ouSWQRCGFziWI/tSU1nTelcLId0DwsZ2B/T5Pl0yu9ChDu6AKUD+ymqt7JmGzI/zDgwY9Wws8OGH/jiNRmeckygSm/vAtP/XXUn4pPFb3Nb28vqBbRj3gpP5z31DVGFIRQbCtkb/hsnAg8jpAEhDT+7Da5brHZ7rYu+T8FoQbMFz3ze+PMnUTq19aWNLMCMVUb4v95msQxF8i6CRgZppFVZ+/JOxb0CCQ1i82ILSUszyD68DbfJ8/ZlDXa/xsANR4DVWOVVv3db3s/wrG2LLTqxPFFmPjIj1ljgsIkA51CnC5IcTWWXkktEpLKxk6hWpBRgUUD6tGhngGdZ5fyRbl3Xn0SV6e/T0ge8BhzHKlsRn9wIuCejXoG1KMzRtM3Rysq/B0jLNJ9K/Tnyh64VBkcDKSVnGjZ095g507gjYhX3d3kVbqMcG+P/qWee/tq6KHWstahNrQHoK2U1y7k6/G2oC6b/EPwbur4LgRIp5fS/a46gpP2OlZWlNgsKCowePZrgrl0puG8WpYYiop1xtC/t6mxU3nx7mShZ/W3sZ73dBtcw1B9/BsrKbQWAruvZQHj6pEnRqIzTispMcue+ejr71+GFbYGFEnmBKIKu60K6XG7H/v0yb8ECAyqIfYBqqanuBtMXuGtfm4yb6uWEh8Z73WDSLw12HbmvpSnn9dmUHzkEggMotu6/dQYlEG3DK8Lt3/zyjaFMlG3Mn/jQepRguo+89TrweI1CFPHJrVEZ2TCgZW73cOO+R5tSb95O8kpOFvfd1nwRMJ85U1PyMgNj17zfIhu1kEqUbd3tVrv9XA3P5V/A8jdavuFZkbQCwCKRB7CJIqAcq4zzXr9KOTvPlG3cE/obGYEnMXsCqFeRdOjcovGtDsUcFQ93elhpH9uEBdgHfI5Vjvw3nk+KwWXQln45/2xs/bb1ut93qCjsVHm4U1SwP3QnB4L24BIuwt2RWeUGx8gb9+/Y4H1fPdRZpAnoKFG2YT4/WuH0bOj/5ZMD+O2SUk429aA2npQGVbDpkqO0PpqgNz0dOxdY7l9NsFksNxS53J+Hm03GxFdegSMZXB5/l/rW/UPZuNW1dYUQcwFdSvmlEOJm4G4p5RV/7yzr4ENdMP2H4GK6vkKIp4CuwPVSSs9FhvlLIITwNA4MFHOmTSW8d19CX9nOkVO/QPgZDIpWUgDMtNrtb9XQt3kMGJ80f/5M1BlZM03TTnjLyYtdJs+1JpeBQ11K3a13hVzvC77Voev6KSllYsbkyU/iJ+If4g794Jrc284ZMFyN0k01g2qt2d75lGfwhrbvBbhM8/VlHcuAg+6Cgp/PPPpoGNDZO/QOlPNLrZKPAmFEKeXErdm4xhnkCSrQNC3eS3ry92UtAWZZsyYuBO5G9dJ2oiobNGPzgMyzzimDuy5rsKwiuVVyUOXZnU3kAIFYZbjNYhkNvEHVXto7/cvKr+5+1dixsKPrx4Qfea3Na1MlMhmAd0MdbOpXzndX7+ci5Wxb/II2COUyFHHrSIJ796L0hw0hI156qQyb0FCZ40KsF25wKhGf3Pe3Lmmz62dF9GyYGUVZUhDbZrem5cJ0d9LavN2MXdSR1gfzbbObXYbq8fU5l+wrD/DcNn7ngeUod5ZpEjnXe5Y6HBi39c1WNwTmOOn0/AnUvkKUADtve2txq6XX7qpXEeh6SuLnz6neOxRFIrtMSlk/13yWvQ83AoOBy6dX3sY/rk+0Jm1dIUQBECWllF7JwAIpq1Yb6vD3oS6Y/gPhn5kKIXxuGYOklP/xedyfAV+faoDBhCnGQ2mOiu9BBkPaorZtt6DaXAwoMYTpVrvdVr1vM6hnz8zYceMSgac1TZsFSj0oqMiw69qFcYxYFGvwunUcQ5Vxqxhw67q+DLgh+LRjQI/pBzvYg3c8cizkQKMSYxExzng6lvQksaJRdlF4+dYBy+cM3t0x3SANdJJIu98Y5UCBpmkJ3nPED4FW3l//hCLnVCFFeefpEzZYkqKndEEpRFV6pP7U4qpgl3B/d86c3b/c4BD1KpLoXNyLOFd9UBuNbahy8icie2oCcOyj3z4y1XfUz7uy/5WxlReyiULAiVVW/sxmsdyLkl+8oJdWID56ce+Lo9sVtpXX/uv0bSipwN4gY863THLRcnaAQ/Qavjh2y6itV4mE0ePJeuEFl/P06dk3P5K6xWRiGfAaVnleXD4+uQkqy74aP2EGt8GDFPKEAeOajZ92mIBBKLUom6gAMrHKJt776YHiCbR3GyWrx+SS2t+9c/fwWb+g9HKb4j1LPXR3A3m2f5S49IN5GHpu2cQDmf0Ewud5+qtE9iY+uT1qMzMYJTJSeQ57yHVWrqjYZ37b9TOZYbmU5lXuS/9Rmak3UC4G8vwrUUKI/Sgp0hQhxCDgFSllzU5BdfjLURdM/4GoFkxdKFamz1rqKyn9dt9/A36v3666nilwGqVI9J2vb1OYzR0SX38dx969xXkLF3YdZU9N47wu6rVLLO1TuVA0YbQ1a+IuYMSZfpGPH5zWuGeb2Sepv6kAADfu4j2hvxUfDNmb4BFug0QWzH7zlHPb4OI44H6JfNP/PnRd348SYzf5WME2i2UY6tyzISr9+Q5VVs0FEIiJKHbwSaBpip4yD5gc93P+45Y3T7VAZeCNAOHGxaHgfR576A5DhaEcgzRkeYRnotVu/8o7ls+kuaHtV1tmA0eDRPyCMjZRBpzDKhv4z9vbS/sEMANvL21By7AtQQ1baj2DBsvca5qKPuNTCSh0A5STdCqQNgezWH9FJ7Kn1Nq24/WIPQuEjzly27Rx6XfOyf/iC09JSopBGGRFx35ZAe07VDxteOqFHJS+cVeUnywAEpm1csjeqPdG/RKwdlDqDeUB7q+8z/m8WpRNuIHDWM97uxKfHLv4inWfb0vaMaj3mnAC3IG0Le1Mm7KOMkAGpgMbgIX6so63AJPb5j1NvbINXwsrbyFZF5sXWp7W+Zl9oeUBFlRVB85bpukotrP+39InWpu2Lqr/dw6qBO5AtcZs/1smWYcLUBdM6/B/hX+n385msTRBBVWfs8hhYKzVbt9ss1i0hKeeWu8pKjLkvPEGW4YUnFv4bGa0I9TzgUSO9xujq9kT8IVTVLQUGGhV1p6OJT0JEEFs+shC1L5iR8eX0uagmuvTvO8JB94rD/TcHFhu4FQLh7PR0aDbrXZ7FRNuXdffQZVfb9A0rUpLi81isaJaEXxWZ0ufXnzsxUM9HNsBz4tPX9N3RvKV1xU1Dbx5x2utW7Z8L4OkNbl4X3sCpfr0NtlTdlb3ZfX+/o5R9tQJqKC0OkVPSUNleDdqmqakFG3CCZzCKptf8AHEJzdx477naND+Ow+G7IkrMhUQ60ygVdIQeWpWH9Hk0zM7m36ZPY7sKbuxCQlsxSp7XfQzRWxBbV7mpugp0wGndLszyic8u7/QdG6w0+AkvtH06+AAABtiSURBVKI+XUp6E+9MBK/NGkrr+EORPfUb1GaiiratruurURurdlr6gP24xS7unzsbr6l8cYgjqtf3r3MuqpSUy+8oTavYZcwJOBuoKMSsQJ1lF+i63hv4pd7pX2jwycGM/9PemUdHVWV7+Ds1ZCYJQ8I8CwLFKEHBFgJICwoOOCFRVERF7LQ+uhX7tTM2toqNUxTUBpyISMtTEHEWCgEFBAIhjNKAEAgkBBIyV6r2++PcCiEkIUgwCZxvrawFt+qeOufeu2rXPnvv345J+LxZRoNckgY9QqvUBqCVu9agS8gSy9Nn/j3qRA3nJ8aYGs46iS5XF7Qxucg6tAEYEzJlyqeRkZHt1k6eQNODNvJDvQTm2hb2Otb3r678i0aja+tcQGCOLZsNYavYE/gLNmwE+YLXRb7xXFtltwfHxsYGl/1MhbomMFctGDk9yjNidkOH5QXuRXvIXwK43W5/HPDD2NjYcksMEl2uCegM64j8cMh2NeKu74YXROSE+D0gVs7sTECmJz/m4V/igAUVFfz7+7IC/QRhyQ1HWTQ248jBtp6ope6l/dDeyEexsbE6wSdR+YDNxElXSynqTrTxvQjLIxSE9PrHfO4LfrIV7dslStlUs2nTKM7I2D1k1Ki2JCq/FvES4mRwRfdIofzZslsk6rXRwITkR1qPy2kf7Oh771Z8eNkWsoGUkHV4bB5sYjvsU754/w+Uk7RtT2xucB8wvfHSzE2d2t/QlW+ugMUluXUF17z/pvps6KbAFqmRT+xtceQZ61rdBUwFGihRvjYFHXe7si6JTHn7ogYRW/N4vcm/eOOuH5j26MgDE98a/DplBPINht8bY0zPQcpRUYoH/gddyxclIhk1Ma9El+tidCyok4hQdOmlvnZjxthebvMSjiUpxD3XiHx7NsHeULrlxtC2oCN2HJnokqAPgI8So6cPx2rAXe/qq6k3bBj5q1d3u3LSpE3+z7EaZ+9Fx+96znF1yUYb8/7WW7YDdzR/441V6Ljjr7GxsW1PmKxOXhkB3OHDd9ne4D2NNwf9zBFnBuHFkXTI67qvQ4Frqg3bTPfH3TahPZ0TmoVXxAMTWwzJD/N93X9hpLIXg0Ktxem8rfkrr2wC9sXGxrYhKkEx7k0fywccYVtnDxBdaogctODCvIbbHrk4s0HeGGDJHFeXa4FZjR566EYFpL/4Ylr9xvmPX3n3rreBz4g73gqvNDct6HVFl21Nvrzui+703NSiSKECAVKHNeCXu5vT49FfFkf2SyiiV9J1B3aFXL8ksc096JixAvauH3DsmRen752BFrdoLciB0k3li4NsHVa838URtjOP3sHD4ZshuSy6djYwQ6X/+UF0Y3S3YAkQRCW0QStwXZnq3NN5U9jPtsPOQ4QWhxP+xyvwXHcJQy8fDuvx0Zsxtc2zrETBqAdawSgM/aPj1ppsxWioXowxPQcpR0WpF3oLbCkQU1PG1E+iyzUk0+P5olH9+o6mL7yAZ8U6hryklXX2OP8rG+r9KDmObBtCMYo30Qk23jJj3BHUs+frDe+9NzRj+nRfYXJyItrrzFeo7ehEokmCTC11The0Ue5lHUpq+tJLTWyBgVGxsbEOohK6oUtGTkh8yQsq8r5382r7xs77jg190fthrj37TrREYR7wTLOEhO7KZhuN1SO1srVbHvJuoNWAT8L/Nf6xFtei1ZZoPPHhosAmLZyXjd36X5C2oEpL9W1HZ3eWbGcr1DXAAvS9bSxoycElX3+9RjmdMQcmThTxFKnWrmzauLK+a/7kMV1GEZUQiE5OGi1IHyCiRJgBVSIMsWyOSyTQNheYHps6MBKtu9ydOEm2tvDfF6Q/wMGWHtrZenx+3ZqB9dEKS6Xjkmk/zHE1FAe+AWmDA4H/ECc3K9TVwEJbsTqa3W7q5ND8wOutexNa6tyDPnzL/2l/Z1i7yOJQsXtxNG/OjEd/YclVuyCvdiUPQaUKRu+icyHcSqm7gLYi8nhNztVQfRhjeo5RmYqSlYVb48bUmovv4hb11D8mv4I39RDb/rmG6QXL2eY7KHO6dLEDT3K8brMAXXLyeOm6TbfbHSUih3KXLfNmffSRHfB8d1PmttlPpHUVG8sEiS3vsxNdrr7AOwgXhg0eTMRNN9IjfkNhZJqttFTfPmDpf0as/+zm2bM+tI61E2SvJVH4GjrL2u5s0yY3etKkUKweqZWuG/UB2pB9JVGvjQHuS3ek3b4lJOmCI1e0JPKWW2gwcT6d9rVKc8ZsaEKPpBX8M/mycsaJsuboAHoKUrqN2lPAk0WpqU/nvvbkTYX5ji5ej40mhS2y+xwbUFjPF1Eiw1cQ4PEldd1nS+qauvK+9y4bQXr8kVLjlLSri00duAsYDjQhTg5anvv13/ZcPyM/dVujY+jT6hc3pG/25Tn1vQ3XoMt33ic9Pt/tdq9EpF+/tGsJKM6emfzm35aNSHxzdl5wkW3DwL/R7GCk/2P9+swfoYUcbgX6i0hjUcL3MUmkeX8ho0M0E9+YD7WwrKUspRSM5gMRVmlLS3TZy0mt9wx1E2NMzzFOoaK0m9pjTHcDrbFxPF9RU+JplFO3mQM8GZeSMs3/ZrfbnSMixfv/9KeXiwJ9/xtQaAtIa1lIwzTns06P7UTRhKgEJ5ZHBlycZT8SubHzHnxPjSFr5ns0WJGR0SW31+MNvI3eJj3ea3mRB9D9Om8X5P3SE/UnOqHUjU2nTrUVbNtWfOTtt2+LS0n5qLw1R2QFje68vUniLZ/29jz41sA8hYoo9XLmju7Hsvc/cWmbzFmzyF+7xtdnaJqtlevovMC7fKPKjqVQO9Ae7cOCvFj6Nb/AQaOVR/e43tjuzPcUN0sJ3sAvwSmAok1+h4IL87vNG/3BvMNfDdkyEdgmlMquPXGsdKBebOrAn9jTKpZpf50JtsvR29o2gCJnMYc5sGNl+LcNCm0FDa0qnJIuQwCr53w1I79F0Pj2RxNo8Vo9GTd2i5o9ehVfjJrgHbq082bgM7TO7/XonYG2HC9r8WwvPsiComTn6wU/sIfM0s9MrfNMS1NGwehL4HkRWWDtHj0tIvVqcHqGasQY03OIKqgo7ab2GNMqlymU7QGK1qh9OC4lZdaCBQt2RUREtBl+23DJ355Hv2/D1X2PNS+2e5UDyGla2PK9QVkjIoCBQDNO7FG5qThILVz+Xpdn8tevLz4yc6YD/TU9H51t+wFwDTBfkBsrWkuiyxUV/fjj+1Aq4NDkyaCzRO+JOzThG2AQMK7QWTy4IMjTJOJYSa5UPrr04f/QyTNH/J6g59ChA4enPBHh9dhCHAFeKS6yvwX82a/upFBvoeOMx73vqIQI69gNQPc1/+oQEpjpofuUXRCeDfWykzZnZsxOCvspHkUHUcLCcRksGnu4MC/S11yQwyctLCqhafKkVsszL45o1++uZAnILrl2viJH8YH3b17d7M3bVxSv6f1rW7+2baLLdYV1X1shEOVpmt3/6BWBEhUeuHp6ZyIL1vJj0nyZ8MhK1Xlr402b+z/2IVr3uSsnl7Usta7ND3WlrKU05SgYdQJeRbc1XAg8IHK8hthQtzHG9ByiMhUl6/Xd1BJjCqdfpuDvAYruoakKfb6jewYODBt0yy2OqfWm8vlFn9PyL/U9H84a821YROalO4O3RhTY82hS1IKuOTG+6OKmOzneo7KkU4rb7c4AQlPvv38i8BwQ4Qnw+WY9fsC2fETWAV8AzU/VUcTtdn8JDM189B/JhZlp3QShbcGFdMvtQ6gvjPQGOXw2NJmIrOBlNyzuOd7fI7OccdKBsMv2DBx7cHfYhysXNCsuKnA40BKFL9++fvMKbwALHcW2rKy2U+8PKQiIA/pyvO8sQNamh1s5MnvXC7101/X/cIQcfQy4mziZCTDjDxdes7tLwSfdV4bZvDYRu08tBu6IOzQhD/383AL0BsKPdg5hwzPt6TJthy8qa40ipduot8as+HT8tLmp6LKh0YLMteKwt6G9/pg9gb9E/By2nEJ7Pgg48xtJo7cfU3Z7HsP63UCvDa1Yes0DOH0lzWOOoFsMzgHm1vWylvIUjMq83hH4QKTyciVD3cEY03OU2u6ZngmWROF7IjLEHh5O0+ef58ieFHpMS6fNvgZoARkooihtTT2399egnc1EiX/L9v64lJRPS4/ndru/RddHtkm9//5f97cufM4TKJNabw/CaxOP3adeBR4pmwQF+D3CcWmxEfHb/tyqreufuwlbd5CU0HXsCE5BENI6qmNP/XtLvexG3u+EyrVU3W7318Afu6X/5fEGReueKS7m7/Oe79IIf1/W0BBcBX3odqCT2LD5PcVCdMP0BcCbpMcfcLvdrwP3t8n696LWOR+MAEYSJ58CKJQbGDB4buT39z/VrnehvSAiyBtM17wY2ud3xm7lXQFJBQ0di1bN6PRsmGd7Ye/08XbixKlQnyNcdeW3XZYsjptwCF1H3LTUMvLQ/V3nL4n4vMUBZ+qD2LxEjhlDSJ8+3NppJO5hE8nZV1jU09HiaWvOJ3vGdZRKFIyiReSQUsqG/lG4VERm1dA0DdWMMabnKGVUlB4AJqFT9Q8Bi0Xk7pqcX3UQ7XT6/tSqhbrsuRfwZmVz8d8yWe/Zy9zCtfJmvdHBfqk8v/EF/IZsFzAuLiVlCYDb7Z6I1r19YmDswH8AqfhoOvGBFotjloQP4Xjm7rOXZA16rn1hpxvRXlg/LI/Q61SseN9F/aRj2d2e2/MQ8F5i9PReR6I888MzHc28DsFRpJbbRJXEEcvD7XY/ALzSMM/9Xdf/vnQ5ibctZvuFLb14O+0O2uFMDl1Dnj2Hhp7GvgvyOi1vX9jlL6THn6SC43a7LwVWhBdu3NUr44G2wADi5Ierv+w29YqlnR4a8XVXT9u9DW2A/ZBzP0mhq8gISCPAF+hz+gLm5jqO3enfVna73dk2X15Y/62jChesuGVFRsPcy6/+qivRh0vCfSX9XtHe2DC0nm5HwOHDR0rwenZeFUD90XEsXfIiTz29COpA8tBvoRIFow7okh/Q2/v/K+YL+JzBGFNDncWfxPT3uJtZ9+t6vly+w/9SuUkplmjCHPS2KGiJwjsme70xM2bMmJGSkkJ8m/g8hhMCLBDkukSXyxnuiZyXZ8+9ttjmUY2KGtMzty/RnmZw3CNcCMxwf9xtG0BsbGw4HO+A0nxHgGPy6LYHg/LtTdHxwC/Rqj4nigxEJQTnRTv/9POrF05tvjhd2r+Xpvwh3uzQgoLvB2wPWnh50rYhz+cmo7genQB0EN0tZ37podxutwI8AYVHi/p9+HowXw1N9hUHdLSJriEVRBRqP5Z4fWL09GXoL/xHsSQKA3wB06/PGLt/419bPpPdJzLwsjGbsXmE7LB8AoocB4OKnN+j1YYuAG5El8SULmtJA5aPzHprwKee5GhXh8aMHHkhL7+6nJwCX4X3yWCoixhjaiiXcoQf2qJLHRqgSxfGiEhRDc/xNyWlJLpcPdAiDt1EhF0FBb6YhASb1ymMGDKC+tuDZf4ldy8Y5OzYDq3dG+DFy47gTZIc+rPy2Iqwi+OIVxXHx6WklHyO2+32y/E1GBg78CjaW2sH/FWQaYku1yh0Ako04EP4+JqMW+eFSfho4DJ01jDrprRHidBr5jeg5JUu7360bEuntPlokfrGghRaEoXvogXdFVq/+e64QxOWoGOet6X8teUV2R1DbX3HbwWErPB8WdVrjzoamffyqAW9J50Ul4xKsBdTNGpTyPpndgdvb5dnz6GBJ4p2F47gwEN9yFq1mGcHfUSTp8M9/1px/cb2jkat0V1s/PjLWuYC75Ien38m9+n3RikVhM68DUSXHH0sIk/WxmffUPswxtRQLuUIP8xDJzPNVUrNADaIyPSaneWZJaUkulz904uKvm/kdDoibrqJsNhYHM8v5A/r2qOOd1nJAFaiDdcnidHTG1CBiL/b7Z6MFqCPHxg78CJ0HepxZR+AqATXjqCU13cGb+2f6TxkC/XWo1tuDK0LOnjs2LcDn6+Y3XlocZi9xx/2j2BR89xLRsbiRn/BXyzIz2XW0CasOPyzPHtOV0FoV9CJrrkxhPrC2HdlQ9/Occ1sF338Dp0f+eSH1BZZ/YETtI+JSugLjAcGYwn0A3jxFiaH/JyzNWRDQ+oF0XTqVHK3bGbAs3mE5fvLcSkCtqLLWqaTHl9h4/K6kDxkxTpDRSTHSiBaju5I8xdq4bNvqF0YY2o4ibLCD8DV6HZqTUSkWCnVD3hKRIbW4DSrBaWUr1doqHr01jga3jKaetNXUPD1YT4uXC8vhd0YQXr8sfLOS3S5WqLVlEpE/JfVr7949JQpD67evVom3T5JUUTu6qse6tBnY+u70OUfJV1NfPhkX8Du7PVhK0NzHcccaMP0KjApY/z4T3r06HHtBUem0da10OPpgBN4QpBnAL/c3gS0iEJHwJlvyyMlZC07gjcDQqAvaPPGgTFrB40ePcbrXcDlg16CYxw60uOFmMic4PvRUokl/V45LtD/DdowbgAIttt997Rsqq55YRqSlU2HR1L5rmgbbxWukFWePedcvNOPUioEbUwnoBuyn3PPvqF6McbUcBJlhR/QAus/icgF1ustgS9EpGuNTbKa8Mddm4U1one/aD77pqRipkrxPL+Iv4hcBNDk2WcpDIVV694i/tX+NCoMK8kuRpd/+HWG55Ee77HaqT2H1k4O8IoULbHb1R0JCc4C9RPDBvyN0CUBvvevvf2DkYE92lGO3B76S382sDgxeno/4B0R6YBSNH/lFY5IGjuXzeeeNy8l3BdUej7pwArr3M/KE+j3X5+bBsWw5WAKmzaXtNQ9J+OdVnhjLToO/DpabP+cfPYN1YsxpoYTKE/4ARgL/FjmC2WxiHSruZlWD9UVz+sUErJ/XLNmTV1jxxLcuze9x67D6Qliq/dQUS9HiyfRPTUrLP9IdLmcQIJX5F67UjSePBlnrtBpyg6iDp9gkEvL7b3jj0uWJSY8/OAdjRtHd5w4EXvDRsTGp1Lg85LiTSvs62zzEDCb9PjcU62rrsQ7qxulVCTwCfAEMPtcfPYN1Yvj1G8xnGf8AbhGKXUVx4UfXgYilVIOESlGN87eX4NzrDZEJNEyVGcUz9uWn99k0s6dvLhzF63zjzHg6Fw2FOwBcIrIc6c63ypDGR+o1D33Nm+uhm/7BVvP7oQecZLs3c+iok3y95ChrUmP31uV+aw9dixq7bFjfJy6FXuakw6Z77DHlwkQICIJVV1XdV2fuoaIHFVKLUVnfp+Tz76hejGeqaFCytSq/geYXyoJY6OIvFGzM6w9lGgNn8xpbYf6x3l0+DDqRxfz0Oxvz2icM53P+YRSKgrwWIY0GPgaeB64A/PsG06BMaaGCiljTNtxvDxgPXCbiBTW5PxqE9W1HVrbxjmfUEp1Ryfe2dE1vPNEZLJ59g1VwRhTw1mjkrq9wcCLaGWhtcA4awutTlNd5R+1bZzaTiXPWTw6sas9EFXXZTQNtRtjTA1njQrq9iaik2cuF5HtSqnJ6K3HmTU5V0PdpZL60EJ0BvVSzgFNakPt5pytEzPUPKLJsf7rtP68QKGIbLeOf4NuG2Yw/CYqeM5ERNaLyO6am5nhfMIYU8NZRSllV0oloQX2v0G32XIqpWKst9yIVt4xGH4zZZ8zEVlV03MynF8YY2o4q4iIV0R6oksKLkarAN0CvKSUWo2um6zz8VJDzVL2OVNKGVEFw++KMaaG3wUROYqOXQ0TkR9FpL/VGHkZsKPSkw2GKlL6OavhqRjOM4wxNZw1lFJRlpIMVt3eEGCrUiraOhYIPALMOMU4QUqp1UqpDUqpFKXU09bxy5VS65RSSUqp5UqpC87uigzVRSX3dI5SaptSapNSapaVUHSqscp9zs7uCgyGEzHG1HA2aQosUUptBNagY1mLgIeVUluAjcBnIvL9KcYpBAaLSA90z8xhSqm+wHTgVmt7LxF47GwtxFDtVHRP56Db3nVD91WtShP7cp8zpdQDSql96K3fjUqpf5+NhRgMYOQEDWcREdmIFmYve/xh4OHTGEeAk7I1rb9w63gERuatzlDRPRWRxf73WDH1FlUYq6Ln7FV0Jx6D4axjjKmhTlC2m4eIrFJK3Q0sVkrlA9loHVVDHaG8e1rqNScwBl0vajDUesw2r6FOUEG25kR0h5sW6DZi06oyViXxuh+s+GuSUmq/UurTs7Weukgl122mdWyjUupjpVRYVcY7RQbuG8AyEfmh+ldiMFQ/RgHJUOdQSj2J1pm9T0TaW8daAV+KSJcqnF+uYo6I/FTqPfOBBSLy3llZRB2kEqWhzSKSbb1nGnCoKp1yyoz9JJArIi9a/+4FXC8ivupdhcFwdjCeqaHWU0G25hYgQinV0XrbH61jp6QixZxSn1cPGAwYz7QUlSgN+Q2pQicNnfIXeiWZ3ncDQ4HRxpAa6hLGmBrqAhVlBd8DzFdKbUDH16qc1HQKxZyRwHd+I3GKcSra+lRKqSlKqe1KqS1KqQeqvNpqpKL5lXr9NaVUTkXnlzNeuddNKTUbSENn4r5WhaEquqczgMbAj9Z2+xNVnZvBUJOYbV7DeY3lHX0C/FlENlnHvgD+LSLzq3B+RVufnYFBwJ0i4lNKRYvIoSqMV1EHlHeAWCDLeuudIpL0W+cnIj8pLen4IDBSRKoU5yw1bnnXzY42pGtEZPbpjGcw1HWMZ2o4rymrmKOUaoiWPfy8iudXtGU8AZjs36qsiiG1qKj+EuBhEelp/Z3SkFY2P8vwTQUmVXFeZcc9SWlIRLzojkCmcYHhvMMYU8N5xykUc24CFolIwWmMV97WZ3tglFLqZ6XUF0qpDlUZ61Tx3N9CBfOLBxaKyIHTGKe867ZNWcpTlhd8NUZ9yHAeYoyp4XykongdaBH+D09nsApKPAKBAhGJAd4GZlV1vEriuVOs8pOXlJZi/K3zG4D+0VCV2GZpTrpuaA/+XaVUMpBsvWfyaY5rMNR5TMzUYKhG/CUeaBm8YSKy2/LYjopIxGmOVRKXBA6jE3wCgLeAnSJy2kbLmh/obWi/990K+K+IGG1jg+E3YjxTg+EMqGTL+FN0eQ3oxKHt5Y9QMWU67RywtoAL0QIVF5/B/NaKSBMRaSMibYA8Y0gNhjPDyAkaDGdGU/Q2px3943SeJbK+HJijlJqI1qCtimA7SqkowCMiR0sZv+eVUk1F5IDl5V4HbDqT+Z3WCg0Gwykx27wGQy1CKdUdeBcobfwmK6W+B6IABSSh1Z+qXB9qMBjOLsaYGgwGg8FwhpiYqcFgMBgMZ4gxpgaDwWAwnCHGmBoMBoPBcIYYY2owGAwGwxlijKnBYDAYDGeIMaYGg8FgMJwhxpgaDAaDwXCG/D+5zJCYc9EOoAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "circle(adjacency_graph(70))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Charts of Counts and Run Times\n", "\n", "The circle plots above give me some insight into chains for individual values of *n*. Now I want to summarize results over a range of values for *n*, with a chart showing the results of calls to `find_chains`, and another chart showing how much time each computation took.\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "def charts(N, what=count, circular=False):\n", " \"\"\"Call what(find(chains(n, circular)) for all n in ints(N); chart results.\"\"\"\n", " fn = lambda n: what(find_chains(n, circular))\n", " results, times = transpose(benchmark(fn, ints(N)))\n", " found = [n for (n, r) in zip(ints(N), results) if r]\n", " print(f'{what.__name__} {\"circular\" if circular else \"linear\"} chains for n up to {N}')\n", " print(f'Chains found for n = {group_consecutive(found)}')\n", " print(f'Total time: {sum(times):.1f} seconds')\n", " if what == any:\n", " plt.yticks([0, 1], ['No', 'Yes'])\n", " plot(ints(N), results, 'b+', 'Any chains?')\n", " else:\n", " plot(ints(N), results, 'b+-', 'Number of chains')\n", " plt.show()\n", " plot(ints(N), times, 'm+-', 'Time in seconds', )\n", " \n", "def plot(X, Y, style, ylabel='', xlabel='chain size, n'):\n", " \"\"\"A convenient way to call plt.plot with labels.\"\"\"\n", " plt.plot(X, Y, style); plt.ylabel(ylabel); plt.xlabel(xlabel)\n", " \n", "def benchmark(fn, inputs):\n", " \"\"\"Yield (result, runtime) for each fn(input).\"\"\"\n", " for input in inputs:\n", " t0 = time.process_time()\n", " yield fn(input), time.process_time() - t0\n", " \n", "def transpose(matrix): return zip(*matrix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I'll define a `Group` as a list of integers that prints succinctly: `[15, 16, 17]` prints as `'15-17'`." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "class Group(list):\n", " \"\"\"A group of integers.\"\"\"\n", " def __repr__(self): return f'{min(self)}{f\"-{max(self)}\" if len(self) > 1 else \"\"}'\n", "\n", "def group_consecutive(integers):\n", " \"\"\"Group integers into sublists of consecutive integers.\"\"\"\n", " groups = []\n", " for n in sorted(integers):\n", " if not groups or n != max(groups[-1]) + 1:\n", " groups.append(Group())\n", " groups[-1].append(n)\n", " return groups" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Below I will call `charts` with different parameter values:\n", "- `N`: A small bound that makes the total run time about a second, and a larger bound that makes it about a minute.\n", "- `what`: Both `any` to see if there are any solutions (for each value of *n*), and `count` to count them.\n", "- `circular`: Both `True` and `False` (the default).\n", "\n", "# Any Linear Chain" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "any linear chains for n up to 71\n", "Chains found for n = [15-17, 23, 25-71]\n", "Total time: 1.0 seconds\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(71, any)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "any linear chains for n up to 84\n", "Chains found for n = [15-17, 23, 25-84]\n", "Total time: 30.5 seconds\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(84, any)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Any Circular Chain\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "any circular chains for n up to 45\n", "Chains found for n = [32-45]\n", "Total time: 1.6 seconds\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(45, any, True)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "any circular chains for n up to 46\n", "Chains found for n = [32-46]\n", "Total time: 52.6 seconds\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(46, any, True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Counting Linear Chains" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "count linear chains for n up to 30\n", "Chains found for n = [15-17, 23, 25-30]\n", "Total time: 2.2 seconds\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(30, count)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "count linear chains for n up to 34\n", "Chains found for n = [15-17, 23, 25-34]\n", "Total time: 47.8 seconds\n" ] }, { "data": { "image/png": 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jmAYQESslLSB1290JXBYRuxoftplZa2j0IIJQI1lIOghYEREnHMhFIuJ+4P68/SwVejNFxDbggj6Ovxa49kBiMDMbKBo9pSrUaIaKiN3AY5LcvcjMrEW0ajPUGGClpIeBX5YKI+IDhUVlZmZ96umBY49t7DXrSRZXFR6FmZnVrRnNUPUMJPhDSccAnRHxA0mvATzchplZkzTjAXc9Awl+jDT8xt/lorHAt4sMyszMKtu5E7Zubfwzi3res7iM9IJdD0BErAKOLjIoMzOrrBnjQkF9yWJ7ROwo7eS3q1813IaZmRWvlZPFDyV9FjhM0nuBfwb+tdiwzMyskmYMIgj1JYuZwEbgceDjwN3AnxcZlJmZVdaMuSygvt5QuyXNAx4iNT89ncdsMjOzBmtWM1TNZCHpfcDXgJ+Shgs/VtLHI+Lfig7OzMz21qxmqHpeyvsicHpErAaQ9Hrgu4CThZlZgzWrGaqeZxYbSokiexbYUFA8ZmZWRcs1Q0n6rby5UtLdwALSM4sLgCUNiM3MzHrp6UmTHjVyljyo3gz1/rLt9cC78vZGYGRhEZmZWZ9KQ32o0oTTBeozWUTEJQdyYkmHAj8CDsnXuSMiZuXZ7uYDo4BHgI9ExA5JhwC3AqcAvwAujIjn8rmuBC4FdgGfjIh7DiQ2M7N21YxBBKG+3lDHAn8ETCyvX8cQ5duBMyJii6RhwL9L+jfg08ANETFf0tdISeCmvH4pIt4gaRpwPXChpONIs+YdD/wa8ANJb/RseWY2GDVjLguorzfUt0lTnv4rsLveE+d3Mbbk3WF5CeAM4H/n8nnAbFKymJq3IQ1c+FVJyuXzI2I78LM87eqpwH/WG4uZ2UDRjBFnob5ksS0ibtyfk0saAiwD3gD8DeldjZcjYmeusoY0ii15/SJAROyU1A0cmcsfLDtt+TFmZoNKdzcc3YShXOtJFl+RNAv4PqlpCYCIeKTWgbmp6ERJI4BvAZMqVcvrSo9rokr5XiTNAGYATJjgWWDNbGDq6YHOzsZft55k8RbgI6Tmo1IzVKk5qS4R8bKk+4HJwAhJQ/PdxThgba62BhgPrMkj274O2FRWXlJ+TPk15gBzALq6ujwciZkNSM1qhqrnpbwPAr8eEe+KiNPzUjNRSOrIdxRIOgx4D/AkcB/w4VxtOnBX3l6Y98mf35ufeywEpkk6JD9s7wQeru+PZ2Y2sLRsbyjgMWAE+/7W9hhgXn5ucRCwICK+I+kJYL6kvwAeJT08J6+/kR9gbyL1gCIiVkpaADwB7AQuc08oMxuMduyAbdtaN1mMBp6StIS9n1lU7TobESuAkyqUP0vqzdS7fBvp7fBK57oWuLaOWM3MBqzNm9O6VbvOzio8CjMzq6lZgwhCffNZ/LARgZiZWXXNGkQQ6nuDezN7uqoeTHq57pcR0YRwzcwGr2bNZQH13VkcXr4v6XwqPHMwM7NiNbMZqp6us3uJiG+zD+9YmJlZ/2j1ZqjfKts9COiiwhvUZmZWrJZuhmLveS12As+RBvczM7MGavXeUAc0r4WZmfWPnh4YMgQOO6zx1642rernqhwXEXFNAfGYmVkfSnNZNHqWPKh+Z/HLCmXDSZMUHQk4WZiZNVCzBhGE6tOqfrG0Lelw4ArgEtKUqF/s6zgzMytGswYRhBrPLCSNIk2D+jukWe1OjoiXGhGYmZntrVlTqkKV9ywkfQFYAmwG3hIRs50ozMyap5nNUNVeyvsM8GvAnwNrJfXkZbOknsaEZ2ZmJS3ZDBUR+/x2t5mZFaclm6HMzKy1tGoz1AGRNF7SfZKelLRS0hW5fJSkRZJW5fXIXC5JN0paLWmFpJPLzjU9118laXpf1zQzG6i2b0/LgEsWpKFBPhMRk4DJwGWSjgNmAosjohNYnPcBziHNr90JzABugl/1yJoFvI002u2sUoIxMxssmjmIIBSYLCJiXUQ8krc3A08CY0njSs3L1eYB5+ftqcCtkTwIjJA0BjgbWBQRm3JvrEXAlKLiNjNrRc0cRBAa9MxC0kTSfNwPAaMjYh2khAIcnauNBV4sO2xNLuurvPc1ZkhaKmnpxo0b+/uPYGbWVM0cRBAakCwkvRb4F+CPI6Jal9tKo51ElfK9CyLmRERXRHR1dHTsX7BmZi1qwDZDAUgaRkoUt0XEnbl4fW5eIq835PI1wPiyw8cBa6uUm5kNGgO2GUqSgJuBJyPiS2UfLQRKPZqmA3eVlV+ce0VNBrpzM9U9wFmSRuYH22flMjOzQaPZzVD1TH60v04DPgI8Lml5LvsscB2wQNKlwAvABfmzu4FzgdXAVtKghUTEJknXkIYeAbg6IjYVGLeZWctpdjNUYckiIv6dys8bAM6sUD+Ay/o411xgbv9FZ2bWXgZsM5SZmfWf7m4YNgwOOaQ513eyMDNrA6WhPpoxSx44WZiZtYVmDiIIThZmZm2hmYMIgpOFmVlbaOZcFuBkYWbWFtwMZWZmNbkZyszMauruhqefbt71nSzMzFpcRLqzWLq0eTE4WZiZtbht2+CVV5obg5OFmVkLmz0bXvOaPftSWmbPbmwcThZmZi1s2jQ49FA477y0H5EWJwszMwNg506YPj3dWcyZ09xYihyi3MzMDsD118PDD8P8+TBmDMya1bxYfGdhZtaCli+Hq66CCy9MCzS+6alckTPlzZW0QdJPyspGSVokaVVej8zlknSjpNWSVkg6ueyY6bn+KknTK13LzGwg2b49NT+NGgV/8zfNjiYp8s7iH4ApvcpmAosjohNYnPcBzgE68zIDuAlScgFmAW8DTgVmlRKMmdlAdfXVsGIFfP3rcOSRzY4mKSxZRMSPgN7Tn04F5uXtecD5ZeW3RvIgMELSGOBsYFFEbIqIl4BFvDoBmZkNGA89BNddB5dcAu9/f7Oj2aPRzyxGR8Q6gLw+OpePBV4sq7cml/VV/iqSZkhaKmnpxo0b+z1wM7Oibd0KF18M48bBl7/c7Gj21ioPuCvN/RRVyl9dGDEnIroioqujo6NfgzMza4TPfhaeeQbmzm3uoIGVNDpZrM/NS+T1hly+BhhfVm8csLZKuZnZgHLfffCVr8Dll8OZZzY7mldrdLJYCJR6NE0H7iorvzj3ipoMdOdmqnuAsySNzA+2z8plZmYDxpVXpmcUb3hDel7Rigp7KU/S7cC7gaMkrSH1aroOWCDpUuAF4IJc/W7gXGA1sBW4BCAiNkm6BliS610dEb0fmpuZtbXrroODDoIf/xiGD292NJUVliwi4qI+PnrVDVZEBHBZH+eZC8ztx9DMzBpm9uy9X6aLgOeegwcegP/4j7QG+JM/gXe8owkB1knpd3pg6erqiqXNHPjdzCyT4MEH9ySGBx6Adev6rj9rVvPe1Ja0LCK6Kn3msaHMzAryjW+k9eTJaT1xIpxxRrqDOO00OOEEGDIkJZRW/3e7k4WZWT+bPTuN69Tb9OnNHd/pQDhZmJn1s9mz4ec/h5tugt27a981NHM02Xq1ykt5ZmYDxsqV8LWvwSc+UV/9drjb8J2FmVk/ioBPfQoOPzw1RQ2UASWcLMzM+tF3vwuLFqWxnY46qj3uGurhZigzs36yYwd8+tPwpjfBH/5hs6PpX76zMDPrJ1/9Kqxale4uhg1rdjT9y3cWZmb9YOPGNGnRlClw7rnNjqb/OVmYmfWDz30OtmyBL32p2ZEUw8nCzOwArVgBc+ak5xSTJjU7mmI4WZiZHYBSV9kRIwZOz6dKnCzMbNDpzx/1hQvh3nvTOxWjRvXfeVuNk4WZDRj1JoFK4zbtj+3b4TOfgeOOq/9t7XblZGFmTVfPj3w9dSolgR07YM0aWLYM7r4bbrstlXd3H/j1zjsPfvrT9FB76EB/ESEi2mIBpgBPk2bTm1mt7imnnBIHYtas9qvT6Ou1a0ztGnejr9fouNMUaPtWZ/fuiPXrIx56KGLBgogvfCHVufDCiHe9K+LNb44YOTKVVVs6OyNmzoz45jcjHnssYvv2+mL67/9Odd73vtqxtwtgafTxu9oWkx9JGgI8A7wXWEOaZvWiiHiiUv0DnfyonrHlW62OYxrYcbdiTPsadwT8z/9AT09aNm/es33++XD77bBrV1p2796zXdq//HL42Mfg+efT8sIL6Xx9mTQJTj8dRo/eexkxIjUbff7z8PjjaXnqKdi5Mx03dGh6A3vlSnj721PcpZFjS+sI+MUvUgxPPZXqDwQDYfKjU4HVEfEsgKT5wFSgYrLYX48/DtOmpe3jj69dv9XqNPp67RrTpEmV//KXbwNMmFD7XPXUOeaYNL+ylJbSdmldb9z11uuvOp2d6Qe09/LKK3t+WA87LP249l6GDUvrIUNSvZEjU3LYtavv613U10TMZb7+9bSeNAn+4A/SdztxYlofc0y6Tr3//r3yyj3bO3bAM8+kocLvvDMlCoD//M+0fv3r4Y1vTP+9Vq1KS8mb35zWzZzhrhHa5c7iw8CUiPj9vP8R4G0RcXlZnRnADIAJEyac8vzzz+/TNfqarGTSpD1/sVauhCefbJ06junA6pxwArz1rXt+uB97LPWX7+3EE+Gkk9L2o4/C8uX7V+ctb0nXi0jXKv0g9RX3gf75+qvOiSfCqaemH/+lS+Hhh19d59RToatrT0JZurTyd3nmmfChD8ERR6RRWUvrri544omUXErLQQftvT16dP/d7fSeF3t/z9UOM9zti4FwZ6EKZXv9J4qIOcAcSM1Q+3qB8v95Wu1Wvl2bKVoxpnaNuxVj6s+4oX9eZqt3EqGBfAdQlHbpDbUGGF+2Pw5Y26RYzKyf1fMjX0+d/kwC/RXTQNEuyWIJ0CnpWEkHA9OAhUVdrL/+J2lknUZfr11jate4G329RsfdX11n+1MrxtRMbfHMAkDSucCXgSHA3Ii4tq+6B9obysxsMBoIzyyIiLuBu5sdh5nZYNQuzVBmZtZEThZmZlaTk4WZmdXkZGFmZjW1TW+ofSFpI1DpFe6jgJ83OJz+0K5xQ/vG7rgby3E3Vl9xHxMRHZUOGJDJoi+SlvbVLayVtWvc0L6xO+7GctyNtT9xuxnKzMxqcrIwM7OaBluymNPsAPZTu8YN7Ru7424sx91Y+xz3oHpmYWZm+2ew3VmYmdl+cLIwM7OaBk2ykDRF0tOSVkua2ex46iXpOUmPS1ouqWWH0pU0V9IGST8pKxslaZGkVXk9spkxVtJH3LMl/Vf+zpfnEY9biqTxku6T9KSklZKuyOUt/Z1Xibulv3NJh0p6WNJjOe6rcvmxkh7K3/c/5SkUWkqV2P9B0s/KvvMTq55nMDyzkDQEeAZ4L2kipSXARRHRr3N4F0HSc0BXRLT0iz+S3glsAW6NiBNy2V8BmyLiupygR0bEnzUzzt76iHs2sCUi/rqZsVUjaQwwJiIekXQ4sAw4H/g9Wvg7rxL3b9PC37kkAcMjYoukYcC/A1cAnwbujIj5kr4GPBYRNzUz1t6qxP4J4DsRcUc95xksdxanAqsj4tmI2AHMB6Y2OaYBJSJ+BGzqVTwVmJe355F+FFpKH3G3vIhYFxGP5O3NwJPAWFr8O68Sd0uLZEveHZaXAM4ASj+2Lfd9Q9XY98lgSRZjgRfL9tfQBv+DZgF8X9IySTOaHcw+Gh0R6yD9SABHNzmefXG5pBW5maqlmnJ6kzQROAl4iDb6znvFDS3+nUsaImk5sAFYBPwUeDkiduYqLfu70jv2iCh959fm7/wGSYdUO8dgSRaqUNYu7W+nRcTJwDnAZbnZxIp1E/B64ERgHfDF5obTN0mvBf4F+OOI6Gl2PPWqEHfLf+cRsSsiTgTGkVorJlWq1tio6tM7dkknAFcCbwb+FzAKqNpcOViSxRpgfNn+OGBtk2LZJxGxNq83AN8i/U/aLtbnNupSW/WGJsdTl4hYn/9y7Qa+Tot+57n9+V+A2yLizlzc8t95pbjb5TsHiIiXgfuBycAISaUZR1v+d6Us9im5STAiYjtwCzW+88GSLJYAnbnnwsHANGBhk2OqSdLw/BAQScOBs4CfVD+qpSwEpuft6cBdTYylbqUf2+yDtOB3nh9a3gw8GRFfKvuopb/zvuJu9e9cUoekEXn7MOA9pOct9wEfztVa7vuGPmN/quwfFSI9a6n6nQ+K3lAAuUW6u8AAAAM6SURBVCvel4EhwNyIuLbJIdUk6ddJdxOQ5kv/x1aNW9LtwLtJQx+vB2YB3wYWABOAF4ALIqKlHib3Efe7Sc0hATwHfLz0HKBVSPpN4MfA48DuXPxZUvt/y37nVeK+iBb+ziW9lfQAewjpH9kLIuLq/Hd0PqkZ51Hgd/O/1FtGldjvBTpIzfTLgU+UPQh/9XkGS7IwM7P9N1iaoczM7AA4WZiZWU1OFmZmVpOThZmZ1eRkYWZmNTlZmJXJI3F+uHbNvY55oB+u+wG10WjINvgMrV3FzKqJiHf0wzkW0gYvitrg5TsLG7QkXZwHUXtM0jfKPnqnpAckPVu6y5D0WkmLJT2iNL/I1LLzbMnrd0u6X9Idkp6SdFt+O7b3dT8p6Yl87fm57PckfTVvLy9b/kfSu/Lb/HMlLZH0aPn1+/izTVSaM+LrSnMYfD+/vWu2X3xnYYOSpOOB/0MaqPHnkkaVfTwG+E3SIGsLSUNQbwM+GBE9ko4CHpS0MF79VutJwPGkMYL+AziNNH9AuZnAsRGxvTQMQ7k84BuS3g/8KfAAcBVwb0R8NB/zsKQfRMQvq/wxO0nztnxM0gLgQ8A3a3w1ZhX5zsIGqzOAO0qTSvUaEuPbEbE7T441OpcJ+LykFcAPSENRj+bVHo6INXlAvOXAxAp1VgC3SfpdYGeFz5HUCXwBuDAiXiGNCzYzDzN9P3AoaUiPan4WEcvz9rI+YjGri+8sbLASfQ8nvb1XPYDfIY2jc0pEvKI0g+GhNY7dReW/Y+8D3gl8APi/+S5nzwXToJELgI+VRh3OcXwoIp7u809UOxY3Q9l+852FDVaLgd+WdCSkuatr1H8dsCEnitOBY/bnopIOAsZHxH2kJqYRwGt7VbsFuCUiflxWdg/wR6VnIJJOyuuxkhbvTyxm+8J3FjYoRcRKSdcCP5S0izRi6O9VOeQ24F8lLSU1Lz21n5ceAnxT0utIdws3RMTLpefgko4hDXn9Rkkfzcf8PnANadTkFTlhPAecR3q+UrEpy6w/edRZszYm6XLghdz11qwwThZmZlaTn1mYmVlNThZmZlaTk4WZmdXkZGFmZjU5WZiZWU1OFmZmVtP/B2qIhp2PwF4ZAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(34, count)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Counting Circular Chains" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "count circular chains for n up to 34\n", "Chains found for n = [32-34]\n", "Total time: 1.2 seconds\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(34, count, True)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "count circular chains for n up to 40\n", "Chains found for n = [32-40]\n", "Total time: 85.2 seconds\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "charts(40, count, True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "My conclusions from these charts:\n", "\n", "- The run time to find the first chain is mostly increasing, but sporadic; it depends on if we make \"lucky\" early guesses.\n", "- The run time to find all chains looks exponential.\n", "- There are more linear chains than circular chains (for *n* = 34: 8082 linear chains, 22 circular chains).\n", "- The number of chains does not monotonically increase with *n*.\n", "\n", "\n", "# Tests\n", "\n", "Here is a small test suite." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "def test():\n", " assert is_square(49)\n", " assert not is_square(42)\n", " assert is_circular([1, ..., 8])\n", " assert not is_circular([1, ..., 9])\n", " assert is_chain([9, 7, 2, 14, 11, 5, 4, 12, 13, 3, 6, 10, 15, 1, 8])\n", " assert not is_chain([2, 7, 2, 14, 11, 5, 4, 12, 13, 3, 6, 10, 15, 1, 8])\n", " assert not is_chain([7, 9, 2, 14, 11, 5, 4, 12, 13, 3, 6, 10, 15, 1, 8])\n", " assert all(is_chain(c) for c in find_chains(23))\n", " assert all(is_chain(c, True) for c in find_chains(32, True))\n", " assert first(map(abs, [-1, 2, -9])) == 1\n", " assert count(map(abs, [-1, 2, -9])) == 3\n", " assert count(find_chains(23)) == 6\n", " assert ints(10) == range(1, 11)\n", " assert pairs([1, 2, 3]) == [(1, 2), (2, 3)]\n", " assert pairs([1, 2, 3], circular=True) == [(3, 1), (1, 2), (2, 3)]\n", " assert adjacency_graph(9) == {\n", " 1: [3, 8], 2: [7], 3: [1, 6], 4: [5], 5: [4], 6: [3], 7: [2, 9], 8: [1], 9: [7]}\n", " assert count(any(find_chains(n)) for n in ints(50)) == 30\n", " assert graph_of([1, 2, 3]) == {1: [3, 2], 2: [1, 3], 3: [1, 2]}\n", " assert graph_of([1, 2, 9]) == {1: [2], 2: [1, 9], 9: [2]}\n", " assert repr(Group([15, 16, 17])) == '15-17'\n", " assert repr(group_consecutive({15, 16, 17, 2, 3, 5, 7, 8, 9})) == '[2-3, 5, 7-9, 15-17]'\n", " \n", "def is_chain(chain, circular=False): \n", " \"\"\"Is this a valid chain?\"\"\"\n", " return (sorted(chain) == sorted(ints(len(chain))) and\n", " all(is_square(sum(pair)) for pair in pairs(chain, circular)))\n", " \n", "test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Road Not Taken\n", "\n", "Here are a few ideas that you are welcome to follow up on:\n", "\n", "- **Leaves**: Looking at the graph diagram for *n* = 15 (or at the adjacency dict), we see that both 8 and 9 only link to one other number; they are **leaves** in the graph. That means that they must be the endpoints in any valid chain. For *n* = 15, we could limit the partial chains in the initial stack to just `[8]` and `[9]`, and if `circular` is true, we could immediately return with no solutions.\n", "- **Incremental Chains**: Given the chain for *n* = 15, we could form a chain for *n* = 16 by just placing 16 next to the endpoint 9. No search required. \n", "- **Reversals**: For every valid chain, there is another valid chain that is its reversal. Can you use this fact to cut the amount of search in half?\n", "- **Dynamic Reordering**: Instead of reordering the adjacency lists once and for all at the start of the search, dynamically update the counts (and thus the ordering of the lists) as integers are used in partial chains. Backtrack when there are more leaves than endpoints in the chain.\n", "- **Hillclimbing**: use [hillclimbing search](https://en.wikipedia.org/wiki/Hill_climbing) to modify a partial solution. You could have the search for a solution for *n* begin with a solution chain for *n - 1*, and search in the space of edit operations on that chains: insert *n* into that chain; cut a chain into two parts; reverse a part; append two parts together; etc. \n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }