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https://github.com/fverdugo/XM_40017.git
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1068 lines
818 KiB
Plaintext
1068 lines
818 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "2133c064",
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"metadata": {},
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"source": [
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"<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/3/39/VU_logo.png/800px-VU_logo.png?20161029201021\" width=\"350\">\n",
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"\n",
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"### Programming large-scale parallel systems\n",
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"\n",
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"\n",
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"# All pairs of shortest paths\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "a7b64d5a",
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"metadata": {},
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"source": [
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"## Contents\n",
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"\n",
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"In this notebook, we will learn\n",
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"\n",
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"- How to parallelize Floyd's algorithm\n",
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"- How communication can affect the correctness of a distributed algorithm\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "394d4b7a",
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"metadata": {},
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"source": [
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"<div class=\"alert alert-block alert-info\">\n",
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"<b>Note:</b> Do not forget to run the next cell before starting studying this notebook. \n",
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"</div>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"id": "1dc78750",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"🥳 Well done!\n"
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]
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}
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],
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"source": [
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"using Printf\n",
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"\n",
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"function answer_checker(answer,solution)\n",
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" if answer == solution\n",
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" \"🥳 Well done!\"\n",
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" else\n",
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" \"It's not correct. Keep trying! 💪\"\n",
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" end |> println\n",
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"end\n",
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"floyd_check(answer) = answer_checker(answer,\"c\")\n",
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"floyd_impl_check(answer) = answer_checker(answer, \"d\")\n",
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"function q1_answer(bool)\n",
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" bool || return\n",
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" msg = \"\"\"\n",
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" It is not needed to start the loop over `j` with `j=k` as none of the entries of the matrix will be updated\n",
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" in this particular case. Rememebr: `C[i,j] = min(C[i,j],C[i,k]+C[k,j])` if we substitute `j=k`, we get:\n",
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" `C[i,k] = min(C[i,k],C[i,k]+C[k,k])`. Rememeber that `C[k,k]=0, thus, `C[i,k] = min(C[i,k],C[i,k])`, or\n",
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" `C[i,k] = C[i,k]`. In other words, the new value of `C[i,k]` will correspond to the old value.\n",
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" The same is true for `i=k`.\n",
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" \"\"\"\n",
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" println(msg)\n",
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"end\n",
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"println(\"🥳 Well done!\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "24b5c21a",
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"metadata": {},
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"source": [
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"## The All Pairs of Shortest Paths (ASP) problem\n",
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"\n",
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"In this notebook, we will parallelize the [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm) used to find a solution of the all pairs of shortest paths (ASP) problem.\n",
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"\n",
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"### Problem statement\n",
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"\n",
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"- Given a graph $G$ with a distance table $C$\n",
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"- Compute the length of the shortest path between any two nodes in \n",
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"$G$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "1faddbfa",
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"metadata": {},
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"source": [
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"We represent the distance table as a matrix $C$, where $C_{ij}$ is the distance from node $i$ to node $j$ via a direct connection (a single hop in the graph). If there is no direct connection from $i$ to $j$, this is represented using a very large value in $C_{ij}$ (e.g. the largest possible floating point number, `inf`). \n",
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"The next figure shows a simple directed graph with 4 nodes an its corresponding distance matrix (matrix labeled as \"input\")."
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]
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},
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{
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"attachments": {
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"g32490.png": {
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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "39db374f",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g32490.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "ade31d26",
|
||
"metadata": {},
|
||
"source": [
|
||
"The ASP problem consists in computing the minimum distance between any two pair of nodes $i$ and $j$ in the graph. All these values can be also represented as a matrix (matrix labeled as \"output\" in the figure above). For instance, the minimum distance from node 2 to node 3 is 8 as highlighted in the figure."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "d9979e39",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Floyd's sequential algoritm\n",
|
||
"\n",
|
||
"The ASP problem can be solved with the [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm). A sequential implementation of this algorithm is given in the following function:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"id": "4fe447c5",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"floyd! (generic function with 1 method)"
|
||
]
|
||
},
|
||
"execution_count": 4,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"function floyd!(C)\n",
|
||
" n = size(C,1)\n",
|
||
" @assert size(C,2) == n\n",
|
||
" for k in 1:n\n",
|
||
" for j in 1:n\n",
|
||
" for i in 1:n\n",
|
||
" @inbounds C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n",
|
||
" end\n",
|
||
" end\n",
|
||
" end\n",
|
||
" C\n",
|
||
"end"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "b27707b9",
|
||
"metadata": {},
|
||
"source": [
|
||
"You can check that this function computes the solution of the small ASP problem in the figure above by executing next cell."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "860e537c",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"4×4 Matrix{Int64}:\n",
|
||
" 0 9 6 1\n",
|
||
" 2 0 8 3\n",
|
||
" 5 3 0 6\n",
|
||
" 10 8 5 0"
|
||
]
|
||
},
|
||
"execution_count": 6,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"inf = 1000\n",
|
||
"C = [\n",
|
||
" 0 inf inf 1\n",
|
||
" 2 0 inf 9\n",
|
||
" inf 3 0 inf\n",
|
||
" inf inf 5 0 \n",
|
||
"]\n",
|
||
"floyd!(C)"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g32490.png": {
|
||
"image/png": 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ozLShzSVKVgCXA71ifNxM4EhgfgvH3gL8OsbHFRERERERERFJKgdjpsEOlxxZC/wOM1wp3vYH3msmDhv4K+BJQBwiIiIiIiIiIgl1CmbYkjMZ4gPuBnomOB4PcA6wLkxMNvA4/unpRERERERERERS3pmYArzhes0c5mJcADsC/yN8kuZFzPTfIiIiIiIiIiIp7SigjtDkx4eY5EgyyARuJHyS5mE0U5qIiIiIiIiIpLC9gSpCkx7/Bbq4GFdzLiF8T59yN4MSEREREREREWmrXsD3hCY7XiK5a7ucSej03z5MTyARERERERERkZRhAf8iNDnzHtDZxbgi9QdCY18PFLgZlIiIiIiIiIhINH5LaIJjKZDvZlBR+geh5zDH1YhEREREREQkqamAqSSTnsBioHfAujpgf+D9du47FxgHjAd2B7o5tv8ZWNTOYzTKAd5tOE6gk4CnYnQMEREREREREZG4uIvQnieXt2E/WcCewPnAvcCnQG2YfQe+9m9n7E4jCC1y/COpMUxLRERERERERDqowYQmUT7HJFuidQgtJ2MSkaAB+FOY41wWh+OIiIiIiIiIiMSEs26LD5jYxn0lS4ImB1jiOM4KzHArEREREREREZGksgNQTXAi4+V27K+5BM2qhv0+GmZbPBI0AGeEOda5cTqWiIiIiIiIiEibXUJoEmPfduzvEGAD8DbwN+B0YOeA7fuFOV68EjRZQIXjWO/G6VgiIiIiIiIiIm22gOAExkft3F9GK9sTmaABU3fGebyRcTyeiIiIiIiIpBiP2wFIhzeK0OmoH2rnPr3tfH+sPQ7UO9ad4kYgIiIiIiIikpyUoBG3TXUs1wFPuBFIHK0CXnesc563iIiIiIiIdGBK0IjbJjuWPwJ+diOQOHvFsTwB6OpGICIiIiIiIpJ8lKARtzlrv8xzJYr4m+tYzgT2diMQERERERERST5K0Iib+gG9HOvmuxFIAnwFrHes2zlcQxEREREREel4lKARN40Ks+7rhEeRGDbwjWOdZnISERERERERQAkacdcIx3IV8KMbgSTIYseyEjQiIiIiIiICKEEj7urtWP4B09MkXX3vWHaev4iIiIiIiHRQStCIm5yzGG1xJYrEcZ6fZnESERERERERwMwkI+IWZ4JiqytRJM5mx3I3V6IQEZFE6gr0ASxgQ8Mr1XuLdgb2AHbFnNsOQE+gBlMQfyHwP+A7twIUEUmATMw1MA/Yjrm+V7kaUWwMAyYAQzDX9z5ADrARM+LhY8zMu9vdCjCdKUEjbrIcy6l+w9oa5/k5z19EpKPoCuwOjAfGAZ0Cts0GFrgRVIwMAw4DDsac40DH9vXA+8BjwDNAbUKja5/fA2dhEjOt3UPawNvAlZjzTRdZwD+A7gHrVgIXuxOOSNKxgEJMEnc85kt+o+XAFW4EFSPZwCTgl8D+mBlZcwO2+zATnrwO3EXoBCHJrC8m5r0afm7NBuBOYCbpkZRqdChwpmPd7cBbLsQiknClmBu4xteHCTrufo7j2piLbLxd5jhmZQKOKSKSLE4BHgUWAV5Cr8ONryPdCrCdDgLewdygN3duzte3wN5uBNtGzxH5uTW+vKT2FzKnPxN6js5JAEQ6mn6Y5Pob+HsJhnstdCvAdsrAfEn/mcivfT7gbwQ/gEhmY4j++t54/RvsQrzx0BOTcHee4xmJDEI9aMRNHa0mSxfHcrrX3BERCXQucKDbQcTRL4GJzWzbgOkp0xPTA6PRCEw38WOAV+MaXewtAj7ADGNai/kykofpXXMkpls8mHqH1wOrgYcTH2ZMjQaK3Q5CJAkVYnrLpass4HfNbGsc2tmF4O8yFnARMBY4nNQaDrQN0wPyS0yvp2rMtXwg5kH3Afhr2Y7E9Bga19Auld2CSTaKdFjnEpyd3EJihv241YPmHscx5yXgmCIiyWIeodfe74D3HOtStQfNDQQ/UfwTsC+mS3yjzsBxwBcEn/NmYEAig22jC4DfADu20i6X4N+HjXnynCpPksPJxPT0bewVtAb1oBFptA+h1/etwHxMAjfVe9Dk4j+HGuBp4NfAIEe7EZhrXx3Bv4tbEhZp2+0I/AWTfMlupe3umM/vwHO8Kq7Rxd/h+M9lNcHnltAeNCJumkzoxdw5Vj8e3ErQ/M9xzLsScEwRkWTxEPAk5inrFKBHw/rAm6JUT9DMJbJeQrmYHjOB53173CJzz8MEn+Mx7obTLkX4z+PvBH+mK0EjHd0emB4XfwNOx9RmyWjY9i7pkaDZCJQAvSJoPwXTm6TxvOtIn2FAjYZjegU1nuOX7obTLt2A7zHnUYWptaYEjXRIAwlNlByUgOO6laBxZmP/mIBjiogku3RJ0ERy0x6oN+aGv/G8V5J+xeP3Ivj/7Qx3w2mzUZibdhtYgUkuKkEjEpl0SNB4gPwo31NC8PXvDzGOKRm8QHASKqPl5kkrcJTDFZheRK4laDytNxGJm58wN6eB9nEjkAQYhX88fqOv3QhERETiYl2U7X8GXg5Y7odJ2qSTCsdyKtaa8wD34h+e9TtC711EJL35MLXEovGgY3nn2ISSVAKv8ZmYOmSpZjJwdsPPC0mC4WhK0IibbMzY1ECT3AgkAaY4lr2YugsiItJxfedY7ulKFPHjTDj96EoU7XMxppYQwBPAv12MRURSx3KgPmA53a7vEHyN30jqTYDSGbgb03u1HpOoqXM1IpSgEffNdSzvjb8uQTr5pWP5Y/QETkSko3MOi1rrShTxc2LAzzbwX7cCaaMC4LqGn9cDl7gYi4iklm4Ez5icbtf3bgR/v3nNrUDaYTZmBjKAm4AFLsbSRAkacdvrjuVsYJobgcRRL+AQxzrneYuISMdzYMDPPxB9F/pkdhSmsG6jR4AlLsXSFhbmyWqXhuU/YmrJiYhEwjkq4HNXooiPbsBj+HvQ1AKz3AunTSZiZiYEqMTMYJUUMltvIhJXXza8xgasOx1zU5QuTiZ0uron3AhERESSxhSCaxI8h+llkkp2xsxuApCDmaZ1EHAYZlx/o3nA7xMbWrtdgH/ignmYWchERCJ1UcDPdcCLbgXSRvnAsIDl3phr/FjgV/hra24HfgN8kcjg2qkTpkaQB/O5ey6wzc2ARJLNlYTOqrRHHI+XyFmcPMA3jmMlRfc5EZEkkS6zOEUjFzPzT+M5V2FmNkw1gecQ7rUUuJDUm9ljMLAZcw7b8HeBD6RZnEQikw6zOEXrNIKvhf9wN5w2OZGWr+81wDOkZvHjm/Cfx71htmsWJ+nwHiW0IFN7p+LsjMn8hnuFm0WiawvtO7cjjhMxMzgFerAd+xMRkdR3JzAyYPk6zPTN6aQKeAP4AFMYP5Xchf9e4c+YRJOISCTGAH8PWF6FuY6km68wk71873YgUZqAKf4O5v/NFS7GIpLU7ic4U+kFdm/H/h6k5axvNK+2dmvOwly8Ave1lvYlfERE0k1H60HzR4LPdw6p+8DsAUz8czAzEy7CPHBxfo7ej38oVLI7G3/cn2E+y8NRDxqRyHSkHjS9MLW2Ar/PTHU1orbbH//1fS5mBMAaQq/vK/EPB012OZjSGo2xn9hMO1d70Igki+GY6c0C/zF8SNtvWh8k9AKS6ATN5WH21d6eQSIi6aYjJWjOBnz4z3UR0MfViGIvFziB4JtgGzM9teViXJHoj5mtycYkmlp6UKQEjUhkOkqCpgcmiRF43bvU1YjiYzhwI6YwcON5bid+5SJiaRb+mF9qoZ0SNCINHiY0oXFBi+9o3oNh9pXIBM1gYItjP6uB7m08HxGRdNVREjQnEvwgYjkwxNWI4isHeIHg/7dnuhpR657HH2tZK22VoBGJTEdI0HQm+Jpgk57DmgLtj6nR1Xi+lYROipJMdsOfVNqEKXjcHFcTNJrFSZLJFZgb8x4B627GXNijvaB/Teymsv4qyvaZwOP4p+ZsdCXmgiAiIh3LcZjPhcZiuT9hpmBd7lpE8VeDmZVxCf6pWC/CDItKRqcCxzT8vARTF0hEpDV5mN4Y+wWsuxW41p1wEuZ/mOtkecPyUOAoTOHgZJMJ3Id/yGoR8KN74Yiklj8Q2oPlK0KTHclsNqHn8DbJ37VbRMQN6d6D5kiCu4KvAka7GlFi3YP/3H0EP4RJJoEzUv0RGN/K65OA9ssd28LN+iTSUaVzD5pcTI2WwM+wf9Bx7vn7Enzut7kbTrMCZ6T6DtiTlq/v5xB8Xn92bM9LbPgi7srAFKJyJjhepflCfcnE+Q/axkzV6ZzJSUREjHRO0ByCGZvfeG5rgbGuRpR4VxL8/3cnd8Np1nJiNzT62QTHLpLM0jVBk43pORP4b/8eOk5yptEmkv/a55z2vL2v8fEMNlVnDZD05cV0M17tWP9LTF2ZDOcbkshxwB1h1p+PxqeLiHQ0BwHPYWqxAGzEJGy+dC0idzifNG5zJQoRkdjJAp7CPGBo9BBwHuYLfEdhETxD31a3AkknqkEjyWgl8CtCe838CnOjeypmbHsyOQOTNXcmkP6BqTsgIiIdx76YgrOdGpY3AQdjZvjoaAKfNHox07Qmoy8wPZwiNQr/8OvtBNerq4hVUCKSdDIwE5scHbDuaeC3mGGcHckuBBcGXulWIK1YR3Sfv12BkQHLyxr20agqBjGJpKRTCZ6OtPE1F+jlYlyBLMzU2eHifJ7k7vEjIpIM0m2I0z4Ez+K3CZjgakTu2Zng+jtvuhpNbGkWJ5HIpNMQpwzMg9fAz6xn6LidHh4i+HdxsLvhxIyrsziJJLtLCD/273vMTbCbegEvEj6+t/A/ORURkealU4Jmb0zdscZz2YqZijQdHArsFUX7kZhijIH/b5N9mu1oKEEjEpl0SdBkAI8SfE17jtSokRmJy4FuEbb1ANcQ/LuoJLmn2Y6GEjQirfgdplu0MwlSh5narbMLMR2PmZ4tXHLmZWdMpd+V7mPbdkcrGiYiEol0SdDsDqzHfx7bgAPdDCjG/oQ5rwWYnqMHAj0dbXpiau/cSXBxZBvzJS2dah8qQSMSmXRI0Hgww5oCr2mv4K8xlg62Y3p8PoYpKzGa4ORTJqbI+/nApwT/LnyYKbbThRI0IhE4gdCbvcbXcuBkEnPjtyumNk5zVb0fxNHNsbSi9OyyijJv6dLSO5WkEZEObAImgeF8BQ4HshuWw7WLpveGG14j+DxqCX8eLb0OD9lr8mhM0DhfXkzstc1st4HPgT6JDzmulKARCfYk4a9rdfj/rdQ30+ZFF+KNxp6EXtc2Ed31/b2ERx2d5r5nbSN4pibnywdc6EK88eRqgqajjpeTJDVr2az+Hp/n8JysnMcuG3RZdcCmZzBd554ECh1vGwz8EyjB9Kh5EqgmtiYC0zFPdsMlWWqAK4DbAleWLS07C7gb8FiWdV55Zbll2/b5lmXZMY5PRCTZZQL5EbTr0sz6VLtnySKy8w2UzN3DN2BuxJ0PQzw0f551wK2Yz2fN7iGS3rrQ+jUvo5k2XWMfTkyFu/ePdDhQW9sn2jpgQJj1zpn4An0DXEB61RdzXard7Eiamr1s9mjbZ//R9tmnAdnV3uqlwDxHswWY2SDuAk4Ks5tRwAPALZiEzhPAO7QtWWMBY4FjgF8TXMnb6TvgFODjwJVlS8v2xOIegm9mzy2vLK+3bftCJWlERCSF3IYpjjkZmIqptzOc4ClWwczi8QnwBqarfLLO2iQiIn6DgN0ww1QnY0YN9He0qQO+BD7CTDM+j443c1XcabiFuKq0onQ/C+sK4Aj8f48VhQWFI6dZ07wtvPUwzFM5Z28ap+2YLoUfAd9iuiGvwXSh347J5HfDjJsvwCRixmG6tu0Qwb7LgdkNP4coqyi7DlNEy+nemoKa80qsEl3URKSjyCX807lI/UQz19ok0Z/2F4dfjelOniosoAfQHdNDZhPmBr4jGIA/OVUH/OBiLCLJoB8t97ZoyXbMNT5Z5QAD27mPWkz9ylTSCfM9KRtzfd/sbjgJ47xfWYv57pgQStBIwpXYJZ7cytzDbcsuxmZvzNi+pr9Fy7LOLyoouiuCXeViZnm6jMSOba/H9M4pAZa21rh0aem1lmX9ybnewrpve8H2c5WkERERERERESVoJGFurL13cgAAIABJREFUXXJrTlVG1Uk29lXASCxs7KC/QR+wLicrZ4ij/kxrOgPnAhcBQ2MXcYhtmO7ds4kgMROobGlZCRZ/DtlgcX/N0JpzlKQRERERERHp2JSgkbgrX1reHQ+/sW27CNP9MVyRQQAs2youKiwqb+OhLGA/4DRM7ZjebdxPoFpM4avHgOdoR5HDssqy6diEnpuSNCIiIiIiIh2eEjQSN39Z9peCTF/mJdicg0UnLHzYzUyFbQY5ba2xagaVFJRsjMHhLUxxq8mYqVlHYerLtFQfwIeZsvtb4FNM4au3gaoYxAO0mKT5Z+HQwtNaqbuThOxszO+5R8DKSrCi6mEkIiIiIiLS0SlBIzE3q3LWbh7bcxkWv8Imw7Is27bt1v/WbGYXFxYXxTE0C1PgqwtmOr/umBmetmB6xqzATJcdV6WVpVdatjXbud627Sdqv689rWRSSX28Y2gbOxOT6BrveDln8LgOrNDhXCIiIiIiItIsJWgkZsqXlu9rW3YRcHhw2d+I1HoyPQXTB09P5gruMVNWUXYFcL1zfXInaewHgN9E0FAJGhERERERkSiFH24iEqG7Pr4rq7yi/PTyyvIvbcuej5n+OqrkjI0N8GBHSc4AFA8rvsHGvsK53rKsk3OG5DxaMq8k0424RERERERExB1K0EibzP5mdtfyyvKL1+evr7SxH7Jte3TDprb0yvJl2Bk3xjK+VDBj2IwbgcvDbDope0j2Y0mcpNkAvI6ZzWoacIC74YiIiIiIiKQ+DXGSqMyqmNXXY3suwOISTA2XZmdkikRDfZpniocVT4tZkCmmdGnpZZZl3RRm09M1y2t+lTzDnezdgM1gVTjWD8YUV26kIU4iIiIiIiJRUg8aicj1S68fUVZR9rcMMpZj8WfLsro1bGrX35Bt25bH9oTUYulIZhTOuBmby8JsOjF3SO4/7/r4rqyEBxWW9VlockZERERERERiQQmaNrNzwN4d7EPBPgHsg8AeDXaG25HFWnlF+dVey7sYuMjGzgGTWInBrm0s5k4vnP5xDPaV0ooLi/9qW/almAnHm9jYJ2zoueHx5EnSiIiIiIiISDwoQRMVe0+wZ4L9IWZa5gXAf4CngTnA18AGsJ8Ae18XA40ti++wWIQ/eeCL1Z49tqc8RvtKeTMKZtyCxe8Ik6RZ33N9EvWkERERERERkVhTDZqI2OOAJ4Cdonzj/cBFYG2LfUyJV7qktI8nwzPJxj4HmGJjW1bb/4R8FtbComFFu8cwxLRQXll+nm3bdxD67/Plzt7Ox1804qIaN+JqnmrQiIiIiIiItJd60ERmCOGTM+uAhcCbwFeA17H9LOBfNAwLSnUzRsxYWzSs6KniYcVTPR7Pzh48zzRsakuPGg+g3jNhFBUU3YXF+Th60gCHb8vY9uytS25Ni78nERERERER8VOCJnoLgUuBMWD1Bms3sCaBNRboC1wH1AW0PwgodiHOuJo+dPqiomFFJ9q2fTgWK6N8uw+oGFYw7Nl4xJYOiguK77axzyM0+XX4tsxtzylJIyIiIiIikl40xCki9lHARUAJWG9H0P4I4F9AY8HgKqAvWFvjFKBrbv7h5k41dTWvAvtH8z7Lss4vKii6K05hpY2yirLfAnfhTKbavFLjqTmupKBkuyuBBQejIU4i6elwYKDbQcSRB9jHsW4JsMqFWOKlD6E9gN8n+EFSqtsJc56NtgCfuRRLonwEfOp2EJLS+gJHux1EnA0FBgUs12Guf+lkPJAXsLwK8zmWLnKBPR3rvsaMYklbStBExM4CK8qbGfs+zBCnRseB9Xwso3JbyU8leTnbc/6N6SUUKR/wc41VMyQ5kgvJr7Si9GwL625Ce7y9WmPVHOv+71EJGpE0NReY5HYQIhLiamCW20FISpsIvON2ECISKtPtAFJDtMkZwBQVDkzQjIxRMEmh5KeSvNztuS/Y2FMC11tYNlaL03B7LNv6a8kwt5MKqWPGsBn3lS0ts7G4h+AkzSE5ds7zJZUlSZCkEZF01adPH3r37u12GDHn8/lYvHgxAAUFBeTm5rocUext3ryZFStWkJWVxfDhw90OJy5WrFjB5s2b6dmzJ3379nU7nLhavnw5VVVVbochaWb06NFuhxAXa9asYd26dXTt2pUdd9zR7XDioqKigpqaGvr370+PHj3cDifmamtrWbp0KQAjR44kIyOjlXekrurqapYtWwYoQRNPPziWu7sSRRyU/FSSl1OT86KNPdmxyUsGl9pe+1obu7uFFdTjw8KybextwB2JizY9FBcW31+2tIxwSZpsO/tfN/9w87GXDbqs2q34RCR9nX322Vx00UVuhxFz27ZtY8SIEQDcd9997LRTtBM1Jr/nn3+e3//+9/Tv35833njD7XDi4vzzz+eFF17g+OOP59prr3U7nLiaNm0ab78dwUh7kQhZlpW214ZZs2Zx++23M3HiRB544AG3w4mLAw44gCVLlnDFFVdw8sknux1OzC1btoyJEycC8Nxzz9GzZ0+XI4qfBQsWcOSRRwIqEhxP/RzLa1yJIsZuWHVD59zq3JewCU3O2JxRNKToNht7ujM5A2BjW7Zl/72osGhTgsJNK8WFxfdj82scs4VZWL+sqav5180/3NzJpdBERERERESknZSgiZ+DHcsfuRJFDN2w6obO9VX1L9mW7axJ4LVs6/TiwuLHAGoLau+zsT/ECpiByEwYXWtb9q0JCzgNFRcW/9OyrF8D9Y5NB9fU1bxyw6obOrsRl4iIiIiIiLSPEjRxYXcnuP7MClK8anhjcgY40LHJi81pRYVFjzeuKLFKfJZtXY/t//uyLRvbth+4auhV0U7JLQ5FBUVPWJZ1GqFJmgPqq+r/U/JVSRc34hIREREREZG2U4ImPmZjpq9rdC1Y3uYaJ7uG5MzLhCZn6mzbnlZcWPxP53tqvq/5N7DSwrIbVvkyybwpzqF2GEUFRU9gEa4nzf45nXJeVpJGREREREQktShBE3P2qcB5ASveBVK2MlX50vLu9VX1rwMHODbV4eGkGYUzngv3vpJJJfXYPGVjW4BtYT17ZeGVS+IecAdSXFD8pIV1KuGTNOpJIyIiIiIikkKUoIkpewJwT8CKDcCvwHJ+gU4J5UvLu9uW/Sqwl2NTrW3Z04qHFj/f0vtty26casDCx+y4BNnBFQ0regr4FaFJmv1yOuW8Mvub2V1dCEtERERERESipARNzNi7Aa8AjTPpbAdOAGu5ezG1XUNy5jXCJGcsy5o2o2DGv1rbR6aV+TbgA14vHl68IB5xChQPK37axj4FqHNs2teX7fuPkjQiIiIiIiLJTwmamLBHAa8C+Q0r6oBpYM11L6a2K6ks6eGzfP8FJjg21drYJxYVFP07kv1cWXDlKmymYXFO7KOUQDOGzXjGxv4V4ZM06kkjIiIiIiKS5DLdDiD12cOBufiLAvuAM8B60b2Y2q6ksqRHtp39moX1C8emWhv7xBnDZrwQzf6KC4ufjWF40oIZw2Y8U7a0zMbin0BWwKZ9fDm+V0uWlBxaMqJkc9uPYOcCR4bZ0NuxPAbsE8O0+wqsr9t+fBERERERkfSlBE272AWY5MyAhhU+4LdghcxqlApKKkt65Ng5/wX2dGyqtbBOKB5WnJJJp46kuLD42fKl5cfalv0skNO0wWZiTmbOK+1M0uQDT0XQ7oSGl9OfACVoRKTJpk0eFi/OZOXKDAD69/ey0071dOvmczkyERFpr2+/zeT77zPYsMFDfr6PQYO8jBqVkqU5RRJGCZo2swcBbwCDGlcAF4CVkjM2lS0vy7e99n+BPRybamzbPqG4sPglN+KS6BUVFr1cvrT8+GaSNHPLlpdNLR5SvMG9CEWko1u0KJObburK66/nUFtrBW3LzraZOrWGyy/foht5EZEU4/XCvfd25pFH8qioCP2qOXRoPb/+dRXnnruNzDT6JlpTY7F6tYeNG00yqm9fH9nZttthxUxVlcXKlRnU1Fj06uWlTx8fHhVLiYs0+meRSPZATM+ZgsYVwB/Autu9mNquMTljYTmTM9UePEdPL5w+x5XApM2KCoteLl1aepxlWc8RnKQZj485N/9w88GXDbpsfZS7rQFeb0dYFe14r4ikiYceyqOkpBs1NVbY7bW1Fi+/nMvrr+cwc+ZmTj21KsERioS3bp2HhQuz+PzzLL74IoutW/1/w1dfvYVddnGWgRPpWNau9XD22fl8/HF2s22WLctk5sxuvPJKJ+69dz19+6Zuj0mvF557rhNPPZXHhx9mUVfnvyZ4PDBhQi0nnFDNtGlVZGS4GGgbLV6cyVNP5fHSS7n88EPwCWRkwOjRdRx4YA1TptQwYUKtS1HGRn09LFliru8LF2ZRUZGB3ZBfGzGinpkz21ElIkpK0ETN7gvMAYYHrCwC63aXAmqXsuVl+fiYY2GNd2yqxuao6YXT2/OFXFw0o3DGf8qXlR9r++zngNymDTbja2tr59z8w81To0vSWOuBqTEPVEQi0R0oBBrv/mzgE/fCaZsXXshlxozuTTc9APvsU8uuu5ovtgsXZvHuu+bGvqbGYvr07uTn+zjssO1uhCvC44/n8cYbOXz+eRYrVjT/DWvjxm0JjErSjAdzfe8WsG4l8JM74bRNTY3FWWf1ZMECfxnE/Hwfv/zldvr187FmjYfXXstl3TrT7WLBgizOPLMnzz23jtzc1Otpsnx5Bmefnc/XX2eF3e7zwXvvZfPee9k8/nget922gaFDvQmOsm2qqy1uvLEr99zTmfpmOrJ6vfDll1l8+WUWTz2Vx2efrU5skDHw448Z3HFHZz7/PIuvvspi+/bwD46qqhLbVUgJmqjYO2CGNY0OWDkDrOtdCqhdSpeU9sHLG8Aujk1V2BxdXFis5EyKKxpa9EpZZdmx2DxPQJLGtuzd25akEZEE6AqMA8YHvHYieObFOqD5R5RJaOXKDC69tEdTcqZHDx/33ruBiRODn7q9804255yTz8aNHnw+uPjiHowfvyaln7JK6nr88Tw++ST8FzCRNhpA8PV9b6CXo821QEliw2qf2bO7BiVnjjqqmptv3kRenj/5MnPmZqZP787TT3cC4LPPsigt7cp11yWud0IsLFuWyZFH9mpKNgFkZsK4cbX06+dj0yYPn3ySRVWV+cK/YEEW06b14qWXfmaHHZL7s2zbNotTT+3Jhx8G32JkZEDPnj7y8my2bzfDuVJdRUUmDzzQ2e0wQqT+bzZh7D6Y5MzOASuvAavMpYDa5YbvbtjByrDCJ2d8HKnkTPooLih+FYtjgaBH0LZl715TV/N66Y+lzpsCEXFPPrARmA/cApwGjCENPq9vuqkL1dXmZtWy4M47N4YkZ8D0qLnnng1YDQ+ytm2z+NvfuiYy1FZt2OBhwID+DBjQn/nzc1p/QxstXJjFGWfkM2pUv6bj/d//7RC34zW69dYuDBjQn4kT43csnw/uu68zU6b0ZtCg/k3nd9NNXeJ2zFjIzITRo+vZc8/U7s4vrrkeWAG8APwZOILQ5EzKWbUqgwcfzGtaHj++jttv3xiUnAHIzbW55ZaN7L9/TdO6hx7KY/ny1Bn/U1dncdZZ+UHJmWOOqWbBgtW8+OI67rlnA089tY4vv1zNZZdtbfos+/HHDM45Jz+oB2myqa+HM84ITs6MGFHP7bdv5KuvVrFw4Wree28Nn366mm++WcWDD27gqKO2p2QPqOb06OHjgANqyM93L5GW8jd8iWHnA68CYwNWXgvWTJcCapcbvrthh3pPffPJmeHFc92IS+KnuKD4VcuyjsGRpAH+z1PrUZJGJHlYpOFn88aNHp5+2n/zfuih24Nu0J322aeWQw7xX64ee6wTmzeH73qcrr76KotjjunFnDm5bNli0aWLTffuPrp1S48b4euu68Y113Rj0SLzxL17dx/du/vo1MnlwBwKC+uZNq2aWbM28+KL61i8eBVvvLGW3/5WQ5qkTdLu+g5w3315QcNDZs3a1GzNFcuC667b3JS4qKuzeOih5OvF0Jwnn+zEN9/4B6GccEI1t9++kT59gr/Q5+baXH75Fq691t876KOPsnnppVyS1Z13dmkaZgwwbVo1r7++lmOPrQ757OnWzebgg7dz550bePPNtYkONSY6dbLZf/8aLrxwK3ffvYH331/D11+v5p//XM+AAe4NR0vLi0QcXADs7lh3Edjro3g95kbgTgHJmbGOTdt8Ht8RSs6kr6KCoteAo4HqwPU29m6eWs/rNy6+sbc7kYlIGDawBHgCuAKYDDzpakTtMGdODnUB9VNPO631wr+BberqLN54I3luai3Ln1DIzIxPwuQf/+hMTY3F0KH1fPDBGr79dhWLFq3mrbfifyOcm2uSQV27xucJ4saNHh54wCTszj13GxUVK1m0aDWLFq3md7/bGpdjttXf/raRW27ZyJlnbmP8+Fo6dUqPBJm4bivBPSUnuRtO+7z6qv/6PG5cXVNdseaMHFnPL37h74X2yivJc31vTWBPoS5dbGbO3NSUbArn7LO3MW6c//fx178mV4/QRsuXZwT1YNx33xpuumkjWRGM8EzVHjR77lnLE0+sZ8aMLRxxxHYGD06OGkFK0EQm3O8pP8qX6312Z1XM6lufUT+XMMkZLI64auhV89yISxKneFjxf23LPhQIevRnY+9Wl1WnJI2I+7ZikjH5wEjgFOBGYF7DtpQUmFzJybHZe+/Wh4dMnFhLTo7/pm/OnPgNJYpWjx6+poRCJOfSFp9+ap5iHnfcdgYNSuxN47nnbmPRotW89trPcdn/l1/6Zzu54IJtEX0BEEkTD2KGrXYH9gcuBR4FFrsYU7tUVmaydKm/R8mkSc33jgw0ebK/3fLlGSxenPylUdet8zT1+gPTG7S1Xo2WBSed5H/g8M03mXz7bfKd68MPd26aXTEzE2bP3pySM0+lAyVoOohZFbP6emzPXOygGjrQkJwpLih+0424JPFmFMx4y8I6jNAve+PqsureKF1S2seNuEQEgFpMMmaT24HE0tdf+29Gd921juzs1p+2ZWfbQU8dA2+KO4JNm8yNcq9eyV1Qsi02bvQ/bu7ZM/3OT6QFXwKLgLT5ww+8vgPssUdkSWtnHadUuMYvXZoZVENmt90iO9fddw/uUZRsPYbq6qymws1gkmwFBc1M3yRxl3zpu+R0H/BKO/exMRaBtMX1ldf38/q8b2AxxrFpm23Zh88omPGWK4GJa4qGFf2vvKL8cBv7ZYJ7d+1qZVhvXV95/eQrC65c5VZ8IpI+6upg+XL/7cawYZHf9BUU1DcVK6yoyKC+3jzZc9v27Rb33WdqJhx1VHVID5f77uvM9u0W++1Xw6671vHZZ1k8/ngeixdn4vWaYUvTplWH1OFZt87DE0+Y7vONBZX/97/spplAAI48sjru3bAXLMjm/fez6dbNFzIcbenSzKbhDOefvxWfz+KZZzrx2ms5rF6dQV6ezR571HLWWdtCZt6aP99MVx34he6OOzo3PaXt2tXH6ae3PvxNRJLHkiXBF+VhwyK7PhUUBLdz7icZrV8f3Lehd+/I8mzO+jQLFyZXMmrBgix+/tl/bkcdVd1Ca4m35P+XkBSslcBKt6Noi+srr+/ntb1zsYKmBgfY5LE8h0wvmP6+K4GJ64qGFf2vtKL0MAvrPwQnaUZ7be+8WctmTb5q6FUp+XcvIsljxYqMoPozAwdG/uB4xx39bevqLFauzEj4cJ9wqqstZs0ydQR23bUuJKa//rUL69d7+MtfbObOzeHGG7viCzjtTz7J4rnnOvGHP2yluHhL0/o1azxN+2302mu5vPaa/2nrzjvXxT1B88472ZSXd2XoUG9IguabbzKbYjzmmGrOOSefzz4L/rLx3nvZPPJIHk8+uZ5ddvH/z3/ttRzuvz+4GGh5uf98Bw3yKkEjkmICZ2CyLCIurtqnj5fsbJvaWpOAXrYs+cfTOIf8eL2RFa+vdzyXSLZk1KefBl/DA3tBLViQzfz52axcaU6+Vy8f48bVMXFiDV27pmbtmWSXXH8dElOzl8ze0Wt75wHDHZuUnBEAZgybMb98afmhtmX/Bwj8VrCTx+eZqySNiLTX1q3BTxx79Ig8QeNsa/blfoImUs8/34lPPsni0EO3c9xx1fTp46OiIpN7783j66+zuO22Lhx4YE1THZuBA73cddcGAC69tAdVVRYnn1wVVNNhzJiWi28m0nnn5VNRkcEf/7iVCRNq8HotPvwwmzvu6MzGjR4uvLAH8+atxdPwJ3DyydVMmFDLggXZ3H23SdTcccdGPB5zk++ckldEkt+2bf5rfF6eHdEQVgCPx8wE9PPPJsmxdWvyz9TnnHp59erIqoWsWhWc2Vm+PDNpeoQCfP65P0HTrZvNkCFePvssiz/+sXuzQ8/y8mzOOmsbl1yyVdfuGEuSPwuJtZnfzRzk8/jmEiY5Y1v2L6cXTP/Ajbgk+RQVFr1dvrT8sGaSNPNmfz978vTB039yKz4RSW2Bw3OAoMK/rXHODLFtW/LfwAf65JMsLr98C5dd5i/59Ytf1HLYYdvZa68+bNzo4ZFH8poSNN262Rx5pJle/MorbcBil13qm9Ylm+++y+Cll9YxfLj/8fABB9QwYICXK67ozpIlmbz3Xjb77GPOb+zYOsaOrWuo4WASNIcdVq0iwSIpLPC6HO1sPoGzolVVJX9p1JEj68nIAG/Dc4IPP8zmvPO2tfwm4IMPsoOW6+tNYqt79+QoRbR2rT+B1K+flxdeyOXCC/NDev4Eqqqy+PvfuzBvXg6PPLKBfv1S5+FJskv+fwkStZnfzRzkyfCE9JyxsDZ68Bw8o2CGkjMSpKiw6G3bZx8KbHFsGuWr982d/f3sAW7EJSKpb/v24KRKdnYzDcNwJnMa67KkisLCei65JHTyrW7dfJx4ohnjv2BBFL+QJHPJJVuDkjONpk2rbprZ5JNPUvf8RKR1jTP/AGRlRZegCbzGp8L1vVs3H2PH+nsxvv56Lj/+2PLQrNpai8cfzwtZn0wPHBqL0pufPVx8cQ/q682QtcMP385tt23k6afX8dBD6/nDH7YG9ST66qsszjwzv2momrSfEjRppnxp+WBPhmeeZVuFgestrI0W1i+nD5v+oVuxSXKbMXzGO5bPOgTY7Ng0ylfvmzfzh5kD3YhLRFKbM8lSF8UIHecNX+DT1lQwdWpN0/Aep8ZiyZF2kU9GBx8cfjrdrCybQYNS//xEpHWB1/i6uui+pAcmd6LtfeOW3/zG32Omrg4uvrhHyIOIRrYNJSXdwtbXSaYEzZYt/uv06tUeamosOnWyefTR9dxzzwaOP76affapZerUGoqLtzB//lp2283/Yb5wYRa339453K6lDfSpmUbKl5YPti07bHLGtu2DlZyR1hQNL3rX8lmHEpqkGZlRl6EkjYhErXPn4Jvu5m5kw3E+UXXuK9n17dt8l+/G6bNra62m7vKppqUu7Y3TZ6fCU3ERabvA+iPRXN+d7Tt3To7hPq057rhqxo3zJyfeey+bo4/uxdtv5wRdyxctyuLss/N58EHTe8ZZbyaZHjiE6/l07bWbg+qfBerZ08cDD6wPqhN3332dgxJu0nZK0KSJmRUzh2DxJjDMsWmDZVtTiwuLP3IhLElBRcOL3sXHZGCDY9OIjLqMebOXzN7RjbhEJDV16RJ847dpU+S3Hhs3OhM0qXED3yhZCkDGS0vnZ+k+XaRD6NLFf12urrYiHupi28FDa1IlAZ+VBXffvYH+/f3ZmC++yGLatJ6MHNmPvffegTFj+jJlSm9efdXMwDdkiJdTTgmeoa5bt+T5PHP+7gcMCI3XqW9fX9Cse+vXe/joIxUUiwUlaNLAzIqZQzLJnGdjFzg2bfDYnoOnF07/2JXAJGUVDy9egI+pNvZ6x6YRvgzf/LLKsqFuxCUiqWfgQG/QF/kVKyK/9Vixwt8tPCuLoBtiERFx3+DB/uuyzwc//RTZNX7NGk9QMmfo0NS5vg8a5OU///mZ/fcP7mFSXW2xfHkGGzf6fwcTJtTy9NPrgob3ZmWRVFNUOxM0Bx5YEzKleDhTpwaffyrXVEsmStCkuLLKsqEZZLwZJjmz1ofvQCVnpK2KhxcvsD12uCTNUGze/Muyvzj/5kREQmRl2Qwe7C8kW1kZebeSZcv8bYcOrddsPyIiSWbEiOBC4ZFe4wOv70DYguPJrG9fH088sZ7nn1/HmWdWMXp0Pb16+cjJMdNUH3rodu69dwPPPruOHXf0UlHhP98RI+qSqpfhjjsGJ8ci/X/hbLdmjVILsZDmnW/TW1ll2VBs5gFDHZvWWrY15arCq75wISxJI1cNveqTsmVlB+FjDtArYNOQTF/mvL8s+8uka4ZeU+lWfCKSGsaMqW+6Of388yzq6qxWZ/uoq7NYuNCfkRk9OorqwiIikhBjxgR/Sf/kk+xma5cE+vjj4N4WY8ak5jV+woRaJkyobbFNXZ357Gu0++7Jda4jRwb/PwysK9QS57DjrVuVoIkF/RZT1PVLrx+Bj7cJTc6ssWxrSlFhkZIzEhPFQ4s/xcNUYJ1j05BMX+abZcvLnHWPRESCTJmyvenn6mqLDz5ovRv0++9nBxWYdXalFhER9w0bVs/Qof4v+G++mRPR+wLbDRrkZaedUqsHTTTefTcnqCByawmdRBs1KjhhFOkMU86ETDLV1UllStCkoNKlpSO9eOdh4ZxRZ43P51NyRmKueGjxpz7LdxChSZrBeJmnJI2ItGTq1JqgOjSPPtqp1fc89lhe089ZWXDQQUrQiIgko0MP9V+fFyzIYtGilgdpVFZm8u67/kT9IYdsb6F16nv8cf/nWbduNocdllznO3FibdCsUt9+G9kgm8WLg9upTlxsKEGTYkqXlo60LKvZ5MxVw6/60pXAJO1dVXDVZw1Jmp8dmwbjZd71S64vDPc+EZGePX0cf3x10/JLL3Xi/feb70Xz8cdRAVSpAAAgAElEQVTZvPRSbtPySSdV0b27nsyJiCSjM8/cRna2/wv+Ndd0x25hlMw113Rr2p6VZd6frhYsyObll/2fZ8cfX5VUU2yDGdJ04IH+JNubb+YGFTVuzn//mxu0vNdeydUzKFUpQZNCZlfMHmVZ1jxggGPTastrTVZyRuLtqoKrPrOwwiZpvBleJWlEpFmXXbal6Qbe54Nzz81nwYLQqr8LFmRz5pn5+BryMbm5NpdeujWRobYqM9Nmv/1q2G+/Gnr0CE0c7b13LfvtV8PAgc0/TezTx9e0j3DFIhv3MWBA4p9IDh7sZb/9athzz9Cb7d69A+Nu/kvG2LF17LdfTUgBUWj93EUktey4o5dTT/VPufzuu9lcemkPamqC/4HX1VlMn96duXP9w5tOOaUqpWZwisZPP2Vw4YU9mj7P8vN9XHZZcn2eNTrzTP//v9WrPTz0UOcW269YkcGjj/p7Bg0e7GXcuOSqrZOqVCQ4RcyumD3Kh28uYZIzdoY9uXhY8dduxCUdT9GwooWzKmZN8eB5HegTsGmQN8M7r+y7ssnFw4u/cys+EUlOgwZ5ueGGTVxySQ9sG37+2cNRR/XmgANq2G23OmwbFi7M4q23cpqerFoW3HTTpqTrNt21q82TTzonuPO7554Nre5jwoTaFvdx//2t7yNejjmmmmOOqQ67rbW4G1199ZZmt+29dy177936PkQkdVx11RY+/jibL74wifennurEvHk5HHbYdvr187J6dQavvJLD6tX++ZvHjKnj6qs3uxVymz3ySB69evmYMqWGnJzwiepXXsnlmmu68dNP/vO99trN9OqVnL1B9923hgMPrGmqDTRzZlf69fNyxBGhw7FWrszg9NPz2bLFn4C7+OKtEU3NLa1TgiYFlFaW7uSzfXOB/o5Nq+wMe8qMITOUnJGEumrYVZ/PXjb7AJ/PNxfoF7BpEB7mlX1XNklJGhFxOvHEajZu9DBzZjfq6sC2TaHIcEUls7JsSkq2cOyx4RMFIonw3nvZnHVWfsj6urrgngFnnZVPZmboF7Vnn12fsrPTiEQjL8/m4Yc38Jvf5DfNwLd2rYeHHsoL236XXep48MENdOmSXMN9IvHpp1k88UQeeXk248fXstNOZort2lqLn37yMH9+DitWBGcrrrhiCyeckNyfZ7Nnb+Koo3qzerWH2lqLc8/N54ADajjkkO0MHOhlyxYPH3+cxVNP5QUVEj700O2cfHJVC3tOXmeckc+HH4YOuQ4sgLxwYRajR/cNabPffrXcfXfsH6YoQZPkSitLd7JsK2xyxuPxTJ4+ZPoiN+ISmT50+qLSytJJYf4+d8TD/NLlpUoeirTNJOAXYdbvGvCzB5gepk0VcFs8goqVc87ZxoQJtdxwQ1feeiuHescImMxMOPDAGq68cgtjx+qLrbirvt5i06bWKwKYLyuh47Wcf9/S4WUCfwyzvqtjeR/CX+PfAD6OdVCx0revlxde+Jk77+zCI4/k8eOPoV0qBgzw8utfV/H7328jKyv1kjOBqqos5s/PYf785meuysmxKS7ewrnnJn+dnUGDvDz88HpOO60na9aY695bb+Xw1lvNn99hh23n1ls3puxw1aoqT6vX+Pp6wraJdLaraClBk8RmL5s9OkwPBYAf8TFp+rDp6qEgrppRMOOb0srSyWGSNP0srzW3dHnpZCVpRKJ2GHB5K20ygPIw69eQ5AkagF13reORR9azbp2Hr77KYtUqc+PTv7+PMWPqkrYLuIhIO2US/trtdFDDy+kSkjhBA6bo7x/+sJULL9zKl19msWJFBj//7KFXLx8DB3oZO7YOT4pXQZ0woZZPPslucbajnBybKVNquPrqLUHTkCe7XXapY968tVx7bTf+/e/ckDpCjQYN8nLppVs56aSqlE3OJCslaJJUeUX5OJ/P9zrQ27HpB3yoxockjRkFM76ZXTF7UpgaSX0trzW3fEn5lKIRRV+5FZ+IJK9evXzsv7+mz5bktddeNSxatLrN7+/SRclG6Zgsy3zZ32WX9OsJedJJ1Zx0UjU//ZTBRx9ls3q1h5UrM/D5oF8/L4MGeTnggBq6dk3NHkL5+T5uuWUj113nYd68HCorM1i71kOnTjb9+vnYc89adtkl9RNtAA88sB6vt20ZpnDDWmNBCZokVF5RPs7GDpucyfBmTLpyxJVL3YhLpDnTh01fPLti9uRwSRo7w35DSRqRqHwA3N3G9zZfmVVEopaVhaZ4l1jy0vbrO8AXsQpE2m/AAC9HH53cdWXao1s3X1qfH9BQAym5EmlK0CSZWZWzdrNtew6hyZnvM7wZk5WckWQ1fdj0xaVLSydZWHOxGBiwqa+dYc+d9d2sKZoKXiQizzS8REQkvdQB57kdhIgkrzTomJQ+ZlXO2s1je8L1nPmeDNRzRpLejMIZ32aQMQmbFY5NO3g8njfKl5bv4kpgIiIiIiIiSU4JmiRRtqzs/xqSM70cm5bXe+oPLB5SXOFGXCLRurLwyiUZZEwCfnRs2sG2bCVpREREREREwlCCJgnMWjZrd9tnN5ecmXTN0Gsq3YhLpK2uLLxyCRb7Acscm/rYlv3GrIpZu4Z5m4iIiIiISIelBI3LZi2btbvls+ZYWD0dm5ZhcaCSM5KqiguKl3nxHmhhOf+G+3jwvFn2Xdl4VwITERERERFJQkrQuKjsu7LxLSRnJhUXFC9zIy6RWLl62NXL66mfFCZJk4+HObOXzt7DlcBERP6fvfsOj6JaHzj+nd1sKqmU0DsIilhAQEUEFAUFFFH4qdg7dq8oxRILELj2wtWrXizYxYIoIkoTCwoiVXqRTiCQkL5lfn8cNrs72fQts+H9PI+PmdnZ2bNkc3bmPe95jxBCCCGEyUiAJkwmb57cDQv+gjObnDZnbwnOiLrikbaP7ECnL2Cso5Sqa/q8yVsmnxGGZgkhhBBCCCGEqUiAJgwyN2eehYX5QKrhoY1Om7PfIy0eMa6AI0REG9tu7D+arvXDEKTR0VM0TftegjRCCCGEEEKI450EaEIsc3PmWbpFnwMkGR7aaImySHBG1FnuII2u6T7LxbuDNFO2TukRrrYJIYQQQgghRLhJgCaEJm2edLZu0b+jbHBmgyXK0u/hlg/vCUe7hAiVse3G/uNyuvwGaVy4vp+0bVLPcLVNCCGEEEIIIcJJAjQhkrkls7dm0eYAiYaHNliiLP0lOCOOF4+0f2Sny+nqB2w2PJSs6dpcCdIIIYQQQgghjkcSoAmBzC2ZvXVN/5aywZn1LotLMmfEceeR9o/stDgt5QZppmyb0isc7RJCCCGEEEKIcJEATZBN2jrpHF3T/WXOrHdZXP0ntJ6wNxztEiLcHu7w8C6rZj0HnXWGh5JdumvupO2TzgxLw4QQQgghhBAiDLRwN6Auy9ya2UdH/waoZ3job6tm7f9Qm4f2haNdQpjJxK0T0y26ZT4aJxoeytc1/eLxbcYvCkvDhBA7gebNmjWjcePG4W5LwDkcDlauXAlAXFwcFouFJk2akJycHOaWBc7u3bvZt28fFouFuLg4ADp06IDVag1zywJn7dq1FBUVYbPZiI6OJi4ujlatWoW7WUGxceNGjh49CjATuDzMzRGRbRTwHkC3bt3C3JTg2LRpE7m5uURFRRETE0NUVBTt27cPd7MC6q+//sLpdJa+v5SUlDr1fZ2Xl8eGDRsASEhIAKB58+bUq2e8tY58+fn5rF+/HpAATdBUEJxZabPbzn/whAcPhqNdQpjRxK0T0y2a5Ud0TjI8lI/G4HFtxi0MR7uEOM5lA6nhboQQoowfgAHhboSIaLcBr4W7EUKIsiRAEwRTtk4Z4ML1FRBneEiCM0KUo6IgjcviGjKh9YQFVT3XMxueaeCKdkVJlpoQtZINpPbv358+ffqEuy0BV1JSwqRJkwAYPXo0jRo1CnOLAm/16tXMnDmTlJQU7rvvvnA3Jyg+/fRT1q5dS69evRg4cGC4mxNUb7/9Ntu3bwcJ0IjaKw3QZGRkhLclQfLDDz+wZMkSTjjhBK688spwNycoXn31VbKysug6uCstTm0R7uYEXH52PgunLQRgzJgxpVk0ddHOnTt56623AIgKc1vqnMlbJ1/gwvUlhuCMhvZXlD1qgARnhPBvQtsJ+/+9+d/9HRbHj0AXr4cSLC7L7InbJw6uapDGHm3/SkdvkrEgo2NGvwxHcFosxPGhR48e3HrrreFuRsDl5+eXBmguv/xyOnXqFOYWBd4XX3zBzJkzSUpKqpO/Q4A///yTtWvXcvLJJ9fZ9+j2ww8/uAM0QgSEpml19u8mKyuLJUuW0Lp16zr7Ht9//32ysrLocE4Hul/RPdzNCbhDOw6VBmiuu+460tLSwtugIFq+fHlpgEaKBAdQ5rbMC4EymTMa2l+uaJdkzghRiTHtxxyIckWdB6w2PBRvcVlmT948uX9l55iyfkoi0FPTtTaxLWNHBKWhQhwfjoS7AUIIvw6EuwEi4kn/LoRJSYAmQCZvmzxQ1/UvgVjDQytc0a7zxzcffygc7RIi0oxpP+aA7tT9Bmmw8PXELRPPq+j5eqzeGx0rgK7pD+u6LlM5haiZ7eFugBDCL+Pqh0JU185wN0AI4Z8EaAJg8rbJA9H5AkNwRtO1P2NsMRKcEaKaxncYn3UsSLPK8FC8RbPMmrxl8vnlPtnFMB3dvdV1yo4pdbsogRBCCCGEEKJOkABNLWVuzxxUXnAmOjp6wAMtHsgOU9OEiGjjO4zPwkpfNJYbHopHw2+QJmNbRoqu66M0d/1zDZfu0seGoLlCCCGEEEIIUSsSoKmFSVsmXaS79DLBGTSWS3BGiNob12rcYSwM0NGXGR6KQ2N25pbMi713RuvRN6N51YDSsQB9pmyb0isEzRVCCCGEEEKIGpMATQ1lbsm8WNO0z4EYnwc0lmNBgjNCBMi4VuMOl2glA4A/DA/F6Jo+c9KWSYMBJm6f2ERDewxwGY7TdZf+cCjaKoQQQgghhBA1JQGaGsjcknmxrukzKRuc+aXYUdx/XKtxh8PTMiHqpow2GUeKteIL8BOk0TRtZubWzCGaS3tBR0+kbL+m6eiXTNk+pXNoWiuEEEIIIYQQ1ScBmmqavGXycF3Tv8B/cGZQRoeM3PC0TIi6zR2k0dF/NzwUrWv6FxraiNLaMwa6pmu6ro8JfiuFEEIIIYQQomYkQFMNk7ZOuhyNDwGb4aGfLcWWgRKcESK4MtpkHLHolguApT4PHFtWuzwaGuiMmrJpSvNgtk8IIYQQQoi6wuW0sG99Izb/3JrV33Zi009t2L2mMY6SCi+9RS1EhbsBkWLS1kmXa2gfUDY4s8RSYrno4U4PHw1Hu4Q43oxtNzYnc0vmhbqmzwV6VvV5OroNK/cD/wpe64QQVbVrl5X166PYt8/K0aMayck66elOuna107ChsZRU5Ckq0vj++1h+/DGGnTut5ORoNGjgomVLJxddVESfPsVY5fo2ouzda2XmzDh++imaHTuiyMnRSEzUadLEydlnlzBsWCEdOjjC3Uwhwq6oSGP9+ig2bYoiN9eCxQLJyS7atXNw0kl2ourAHeiWLVF88UUcq1dHsX+/lagoaNjQyRln2Ln00kKaNnWGu4m1sm1pS35+uxsbF7XDXlT2F2a1OWl31g56jfqTzudtDkMLA6OgQGPlShvLlkWzerWNAwcsHDpkITvbgqapz2379g66d7czbFghzZsH//daB/48gm/y1slXAB9Q9t9LgjNChEF0dHRJsb34D6oRoEFD19Fvf27ncxOliLcQoedwwMKFMcyZE8vChTHs3Vt+dOKUU+zccEM+l19eiCUCc33nzYvlX/9K5uBB/41///142rd38PLLRzjlFHuIWyeqy+GAKVMSefPNBIqLfafS5uSoYOMff0Tz4ov1uP76fB555ChxcXqYWitEeOzZY+XLL2OZPz+WP/6wYbf7n3aekKAzbFgho0fn07p15AU0c3M1JkxIZubMOD+P2pg7N5ZJkxK59dZ8xo49SnR0ZPUFToeFrx69kD8+PqXi4+xWNi5qy8ZFbTlxwCZGPv810fElIWplYLz3XjwTJiTjqOBjmJ1tYdu2KObNi2XKlERGjCjgsceOkpISvIGkCLzsCa3MrZkj8B+c+am4sHiQBGeECK3J2yYPLHIUrQXu0tCq/q2no6ETX2wvvjN4rRMiYNoDdwIzgJXAASAH2A0sB14FBhEh3+M7d1rp1i2da69N48MP4ysMzgCsXGnjvvtSuOKK+hw4EBFvsdQbbyRw3XWp5QZn3DZvjmLo0AbMnx9T4XEivEpKNK69No1XX61XJjiTlKT7ZALoOkyfnsCIEWkUFfm/ORUCiAMuBKYA84DtqP49G9gEzAIeApqGqX3VNnlyIj16NOLpp5P45ZfocoMzAPn5GjNmxHPeeQ147734ELay9g4ftnDRRQ3KCc54uFzw2msJjByZRklJZPUFn/5rSJngTKP2h+h2+Wr63LqU7lesosmJ+30eXzevA+/cMhyXM7Lea06OpcLgjJHLBR99FM+QIfXZty94KbCSQVOBydsmj9R1fQZl/50WFxcWX5xxUkZeONolxPFmyvopia5o10gN7S5d109BU0tp6+jV+ibQ0HRd0+/N2JPxbEbTjILgtFaIGksC7gCuAU6q4JimwOnAaGADcAvwUygaWFN5eRpZWb4Bi6goOPFEO82bO0lLc3HokIUVK2w+Fz2//hrNyJH1+fLLQyQnm3/a0/z5MTz5ZFLpdmKizj335HHxxUXUr+9k924rn30WzxtvJGC3g90Od9yRyuzZB2VqjElNmJDEwoWeIFrz5k4efvgoAwcWkZCg43LBn39G88IL9UqDbcuXR3P//cn85z9HwtVsYU69gduAYUBCOcekogL0Q4CngdeBsUB+KBpYU//8Y8Vl6KIbNHDRpYudBg1caJo65s8/PZk1hYUaDz+cjNMJ119v/ksypxNuuSWVrVs9t4Vnn13C3Xfn0aWLHYfD0xesWqUqYixdGs3DDyfz/POR0Rf8/UMHVn7tWfQ0PrWQEc/O5oS+W8ocu/2PFnx03xBy9qrvvK2/tuKPj06l59UrQtbeQGnc2EmfPiX06FFCu3YO0tOd2GwqQL91q5Uff4zlo4/iSgPvW7ZEcccdKXz++SG0IMSkJEBTjsxtmf+n6/p7SHBGiLCYuHViugXLGB39XJfmOg0dq47uAtB0rUZD6jq6hk79mKKYG4FXAtpgIWrvFCCzms85AViICtL8L9ANCjSrFfr1K2bEiAL69i2mXj3fJDiXC2bPjmX8+GSys9Wf+YYNUUyalMiUKTnhaHKV2e0q7d15bHp6UpKLL77IpnNnzxSmTp0cPPJILmedVcx116XhdMLRoxoZGUm8/77MvDSbFStsvP++Z4S/QwcHM2ceokEDz52oxQLdu5fw3nvZjBuXzLvvquO/+iqOq68uoHfvyEr5F0E1ARhYjeNtwF1AH6A/cCgYjQqkxo2dXHFFIcOGFdKpU9mg8/79Fp58MokvvvBkoGRkJHHuuSW0aWPuIPXMmXH88kt06fbIkYU888wRn1piAwcW0a9fMTfemMqCBSpg+/HHcVx5ZQE9epi/LzBmzlz96he07fWP32Nbn7GTG6Z/ysuDb8DpUN/Xyz45JaICNAMGFHHBBUV07Fj+Z69NGwfnnVfMzTfn83//l8auXeoXvnRpNAsWxNC/f3HA2xVZecMhUl5wRkefF2OLGSjBGSGCz6Jb+gP/0tC6e63SFIg+ywWMyViQIQFqYXZ/AE8CFwAnAs2Ak1FZNuu8jrMA/0VdxJuS1QqXXVbIwoVZvPtuNoMHF5UJzoC62R06tIjPPjtEQoLn8Q8+iC8N2JjVhx/GsWOH50r98ceP+gRnvPXvX8ytt3oGxBcsiOH336P9HhsOa9bYmDEjnq++qjiNPxA2bozim29i+eijeGbMiC8deTaD116r57P90ktHfIIz3jQNnnoql3btPBf6U6Yk+T1WCCAXNYX1ZuAMoCXQGjgfeA3wvpvvCnwGmHb+SLNmTqZOzWHp0gOMG3fUb3AGID3dxauvHuHqqz0ZMyUlGm+8UV5CkTk4HPDss4ml2y1bOpk0KcdvofeYGJ3nnz/ik/WZmZlY9kAT+ufPZqU/N+uyr9zgjFt6xyxO6OfJrtm9pjFOe+RUvz/hBEeFwRlvbds6+Pe/fQeKvv8+NhjNkgCN0aQtk27Qdf19ymbOfB9ri73kgRYPFIajXSLQdA30U0AfAvo1oA8G/TTQI6dXqePGtRv3IToDgO9BTU8K0KktQMuYljEjA3Q+IQKpBHVx3gXoATyOqlHwN7AHWHPs8dOAd7yeZwVeCGlLq6FjRwevvHLE5+a1Ip06OXwCGE4nLFpk7lotn37qCWakp7u4/PKKU/Zvvz0Pm83TrX32WfCDIVU1f34MDz2UzJQpwbup2LPHypAh9enbtyG33JLKAw8k89BDycybZ47fs/rMeYJmZ5xRUmlBZ5tN95mqsXy5jW3bZCxA+FgPXA80QU1nfQtYBuwEdgA/ooLwvVE1adz6AsND2M5qeeSRo4waVYCtivHVxx/PJSnJ0//9+KM5/u7L89tv0ezc6blFuOWW/AoLgTdq5OLKKz23jL/9Fs0//5j7FkN3aRTkeAIOjTtlVel5TTof8JxDh/xDkVVXqDrOOaeYpCRP4C1Yv1MJ0HiZvGXyjZqmvYnh30VHnxtji7lUgjN1gd4I9GeAfcBfqEJs7wJfA38Cu0F/HvS0MDZSHDOu3bgfxrUdd6EL1yk6+gzAAaBptQzWaLjQGKvr1athI0SQbQY6oC7O11ZybAlwE+CdS3wa0Nn/4ZHn/POLfLa9L47NJivLwooVnpv5YcMKK71RadjQxbnnegbJ586NLVPDoS67/fYUli+PJjZWZ8iQIkaNKmDUqAK6djXHqlY7dqjlgd3OPLNq0xOMx337bXBGWEVEegwVfH8HqKzoyh/ADYZ9VwWjUeFQr57OmWd6pobs2WMtnR5qRt6ZEhaLygitzOWX+x4TrGyLQNEsOrZYzyCK7qraJbLxuOgE80/lqimLBVJSPLcgwfrOlgDNMZO3TL4RjTco+2/yXYlWIsGZOkE/HzVy8S+gUTkHpQP3AWtA7xeqlomKTWg7YdW4tuOutWrWFug8oeu6e/W0mgVqdCxAl8lbJw8KWCOFqL29QMX5xL6clK2ldEbgmhNeaWm+Vz5mXhVn6dJonwu1nj2rdoHaq5fnuKwsC5s2mSPboksXO6NGFXDJJcG59Nm2LYply1RA6/XXD/P664eZOjWHqVNzGDAg8PP5a8K4ClfTplW7e2zWzPe4pUvNM3VNhN0fqH67qmYB27y260z/DpCa6uk0nU5wOMzbx//6q+fvuGNHh0/by9Opk90n28K7fo1ZNTt5b+nPu9ekV+k5u1Y3Lv25QZtsYhPN0YcHQ2Ghxv79nu+GqmYFV5cEaIDJWyffXF5wplgrHpbRJqPI3/NEJNHPA+agquO77QXeQy1z+DoqeOPWBJgF+ukha6Ko1ENtHto3rt24jGJncQtN0+5Dw/1NUu0YtqZpLjTGBriJQoTaasN21a6oIsDu3b4ZM+np5h1eNQZWTj65alkgxmyRzZvNEaDp37+YqVNzePjho5UfXAObN3t+tz17miNjxshuaFZVp25ERfmOG2zcaI7fqYhYq7x+Lm9wMSK5i60CJCe7iIkJ1Ez2wHK51Ko9blXt3y0WOPlkzw28WQLwFTlj5MrSn/dvbMi67ztWePyOP5ux6ac2pds9rvwraG0zgw8+iKe42BNIHDIkOCGC4z5AM2nrpFtQN+e+/xY6cyQ4U1foDYGP8NQV0lFppq1Buxa0saDdDlpnVPqoO+20HvAF6OYpDCAAyOiQkTu2zdgXiwuK22ho16EdC65pVQ/U6Lpu0dDOydyceVbQGipE8BkrK5p7qaNqmDPHNx3cO9vEbLwvvG22qgeTmjf3HX2LhAv48hQUaGzfHuUzulge72youDhzzutKTfW9WaxqkepDh3yP27XLSmGheTMDhOl5F/SoM/374cMWn8LoVZ1CGA67dll9+qzmzas+WOB97I4dUaVLjJvVqZespfN5m0u3P35gMMs/64rLabhNdmmsmdOJd2+5vHSKU6tuuzjr+mUhbW+oOBwwfXo8Tz7pKfw+dGhh0K5LIvdKIAAmbZ10i4b2GsbgjMa3Cc6Ey8a1G1d3c7SOLw8ADby2nwTtKf+Hah+Cng98dWxHS+AeVJaNMJmMkzJKgHd1XX8vc2vmeajpaRejU6W1DjRN03WL/hBwaVAbKkTwdDdsbwxLKwJs714rH3/suS858UQ7J5xg3iVYDx70jAQ3bOj0u7KHP02a+AYnsrLMMW728cfxTJ8eT5MmTqZPP+zz2JIl0Tz9tLpI/frrQ2zYEMXTTyeyZElM6TSvli2dPPDAUUaM8J0iNW1aArNmxZGT43mfgwc3QDvWX6enu3jnHXMsN968uQOrldK6GCtXVi2Fxnicy6VuRuPizJsBJkzLBnive1wn+neAV1+tR0mJ50Jt2DDzVpIw9svVyeZs0sRzrMMB2dka6enmzBQCtRrdVa98yayMASz75BRKCqL57KGL+G5KX5qdvJfYxGJKCqLZvaYxufs9q9x1GbiB4VO+xRplzoB7Vc2bF8PGjaoPdzjgwAEru3apGnPe014vuaSQF14IXrz0uA3QTN42+VZ0XqPsbdw3CY6E4fd0uEeCM3WCrgE3eu3YDUys+DnaLNC/AS4+tuNB0J8DzZx52MJdNPgH4IeJ2yeebnFZ7kPjKnSsmqbp5RUDPrZ/aOamzJPGdhhbWVFWIczGiioU7JYN/BymtgSMrsPYscnk5Xn+bMePD85Um0DJz/e0NT6+6hffMTE6UVHqQhBUFooZ7N9vYdUqm0+RXLecHEvpUtgLF0Zz662pFBdrNGjgwuGAI0cs/POPlaFuWxgAACAASURBVPvuSyE/38INN3hW49qzx1pmGe3Vqz3bLVqYJ4iRlKTTubOdNWtU+378MYYjRyykpFR8A+JvNS7vz7IQ1TAM32lNX4erIYG0cqWN//7Xk/zZtaudwYPNO2GhoMC3H6xOH29c6amw0EINZuWHVFSMg8smz+Gs65Yz++n+bPmlNXmH4tmwsF2ZY5t12ceQx3+gVbddYWhp4H39dVy5KypqGgwcWMQNNxTQu3dwwwTmGKoJscxtmbeVG5xxSnCmjumC75fbJ1UMtMzw+rkBanlDEQEmtJ7w57i2467FQkfgJXTc3/p+v1E1NHSL/mDoWihEwNwHdPLafg6I+EDy88/X81lqeejQQvr3N/fXsndgpbp1FLyPz8+PrMuyu+9OpWfPEhYvzmLVqv2sW7efRYuy6NxZfQwnTkwkN9fzb/P007ns2bOX117zZOXs2LGXPXvUf0uXHijzGuHknQFUWKjx2GNJ6BX8eufOjWXevLIrtUiARtRAApDptX0EeCNMbQmYrCwLN92UWhqUjo7WeeaZnNIsOjPyDsADxMbWPEBjPJdZrfqmEx/ecwlbfmld4XG71zTmo3uHsvT90yrsG+sCXVfLpc+ZE8O+fcFdVTIUGTRxQC/U8p8dj/3XFNXxJBx7PB81rzIH2IpK4VsP/ApsCmRjJm+bfLuu69MoG5yZmZadduVt3W+L+Itb4aO9YXt5FZ9nPO4SYF7tmyNCZVyrcVuBeydtmvS0ZtHu1C363ZqupWlouo4no0ZH19AYlbkl8/Gx7cZWZwUdf2xAT+BU1I1zR6A5qq9LRPV3hcBhVL/n7u82AEtRSyvX8a84ESCnA95TNbcBL4SpLQEza1Yczz2XWLrdtq2DZ54xf9kF7wvT6t5oWLxiMpG2zHabNg7ee+8wNpvnH6BDBwdTp+YyZEh9Cgo05s+P5dJLzTt9oSJXXVXA668nlBas/uyzOCwWyMjI9cmkcbnUtLDx45P8nqeqU96E8PIa0MZr+3FUlmTEKijQuOmmVPbs8fxBPP54Ll26mPvWyxh4qE4fbzzWzEuJg3qvXz12IUvfP610X3KTXE6/bA0tTtlLdLwde7GVPWvTWfFFFw5uS+PIniS+fPRCNv7Uhqte/gqrzeRvsgJDhhSWTqcuKoK8PAtbt0axdKnKKD182ML06Ql8/nkcb7xxJGiZNMEK0LREFVsdiArOxFR8OLFA/WM/n2Z4bBfwIzAT+I5ajA5O3jL5fnSeM+7X0D5LzU69SoIzdVJ9w/ahKj7voGHb+LkUEWJ8h/FZQMZLm16aXGAtGKnr+qNotNc0zaXruvvWKEq36Peh6hVVVyPgSmAQ0JuyRVuNYvGsJnay4bEDwALgS1QdpMi8qxHBlo76jLjzcO2oz2B+uc+IAAsWxHDPPcmlQYrGjZ28/3429eqZP2bpnfLuvcJDVXgXkI2E9+rt7rvzfIIzbt26ldCkiZO9e62sXx+5s+nj43Vee+0ww4fXL62X8ckncXz9dSy9epXQuLGT/HwLv/9uKx1Rtdl0Bgwo5ttvPZk0yckRFnkT4TYGGOW1/S3wcpjaEhB2u8att6aybJmnMPDNN+dzww0FFTzLHIxTmqrTx3sXFwbz9/GLXjvTJzhz+vDVDHt6LlExvjXgOvXbQt87fmXuM+ey+PVeAKz7viPfTOzP0IzIHc8eMKCYAQPKBl2KijTefjueKVMSKS7WyMmxcN11qcyZc5COHQNfHy+QubRW1AXifNRI3mTgXCoPzlSmOXAdMAtVP+RFymZFVGrSlkkPoElw5jhkLK8d7feosoyf2xMD0BYRRvd0uKd4bNux77Zr266ThjZSR19x7CH3t+Vtz+18Lq2Kp9OAwaj54LtRmQsXUnlwpjKNgJHAh6hl4N/Et0CgEGnAXKCF1757URlYEWvx4hhuvDG19CY4Lc3FRx9l06pVZIzEJSR4Lrqrs2KP3a6VpvpD9WobmEH37uWvYNG0qfrdHTkSWdO2jLp1szNzZjbp6Z4gS2GhxoIFMXz4YTyzZsWWBmcSE3WmTTtCu3a+F+zJyZH1exVhdR2+U5s2HtsXsR8iu13j5ptTmT/fc2n9f/9XwBNP5IaxVVVnDKpUp483Huv9XWE2+YfjmP/y2aXbrbvvYnjmt2WCM24Wq86ghxdy8kXrS/f9NuN0srZW9VI6csTG6tx+ez5vv324NOu1sFDj0Uf9Z03WViC+NaOBW1Ap+h8A/QJ0Xn8aolbUWQ+8j6ovUqlJWyddo2nas8b9uq5/VLSjSKY11W3GjJnmVXxeC8N2yrHlukWEG6GNcI5tO/aTcW3GdXdZXP3R+Q7Q0YkvchTdXMnTLcD/AX+hgjODCV4mYjKqAOyKY6/VK0ivIyJHEiqT1DtoNx74T3iaExg//xzN9denlo5KJiWp4EwwRqWCJS3Nc/N+4IClynPx9+3zvVyqXz+yMi0qCjy4b0TsdeAKq1u3EpYsOcD48Ufp3NlRZtpCUpKLUaMK+PHHLC6+uIidOz1TOFJSXJUWFhbimOGogRl3x7ATNfhjzOqOGA4H3H57ik9dseHDC01fd8Zbaqrv36+x366I97EWC6buC9bNPQF7keeSts9tv2GxVv5l1u/OX0p/1l0aK7+uu2Pa555b7DNl96efYti7N/BzWGt7Y9EfeBXfIoXlyUbVV9gAbMdTg6EAle6fgBo97njsfCegsnL8saKmUI1EzdF8BFU8yy+Lbpnl0ly/a2g93Pt09E9K/im5JqNfRuRcAYqa+MuwfS4wrQrPO9fPvhQgq9YtEqYxofWEBcCCiZsndrFYLHeg82sFh3dHfXbOqMKpc4F1qGDyVlT/l3/svxQgHlV8uiOqr+tM+dld7mydwagg+IOo7BpxfIlHBeq8P3+TUNmqEWv58miuvz6tNA08MVHngw+yTV+TwKh9e8+lREmJRlaWhUaNKr8Qd9c28XeeSBApN1iBkJCgc9ddedx1Vx7Z2RYOHLCQn2+hYUMnTZo4sXktTrVihac7P/VU+3H17yRq7FJU9qz73uwAMAB1zxSRnE64994U5szxTPe7+OIinn/+iE/tLbNr2dKBzaZjt6s/ZGO/XRHvY1u0cFa7iHwo7VnXyGe7qiszNe50gJiEEorzVb+3d116wNtmJhdeWMTnn3tWelq50uaznHog1DRAkwq8ggqSlMcFLELVUVgArKZ66XnJQB/gfOAKoImfY6zAncDlwN3Ap/5ONLbd2JzMLZkXuDTX98eCNB+X7CgZJcGZ44G2G/T1eIKIl4DeCrQd5T9HjwVu9/NAvcC3T5jBhPYT1qD6En/igKnAHZQfNAY1xeQLVH+3HKhOb50AnI0Keo/AtzCgt6tQgZqxRHjWhKiWOGA26jvR7SVgQniaExh//mnjqqvSSle1SEjQmTEjm9NPj6zgDJQNrKxbZ6NRo8qLB7qXcHbr0EEuSyJBWprLJ2vK286dVnbs8HxVdOsWeZ9nEXIXAR+jFhoANRjYHzWoHZFcLnjggRS++MJzIztoUBHTph0mKsLKUkVFQZs2TjZuVA1ft85WyTMUXYe1az3Hmr1/LynwHSeMTSx/Cqs3TYOYxOLSAE1xXlWrSUQm4+BLTk7gI/A1iV/2RKXclxec2Q88hrrB6I+qGbOK6s+dzEGNFt6Lmm4yCBXs8XeedOAT1A1L2fUNUUEazaoNRCOjXZt2V0tw5rjyitfPMcAM0MupFaJrqM9sOz8P1ra+iIg8nYHfgbvwH5zJAaagAoC9jv38O9ULzoDKrPkeFXhph7oRnwH466eSUJk8n6EC2aJui0EF/vp57fsPaontiLVmjY1Ro9I4elRd2MTF6bz9djZnnFG1C0KzMbb799+rdoHqfVxSkosOHeRmPtJ98kl86c+aBsOGSa13UaHzUQuhuDuDbFTmzNqwtaiWdB3GjUvm0089wZl+/Yr5z3+O+GSaRRLvPn7dOht5eZXflG/dGsXBg55bbbN/v8UmFfls52fHlXOkL5dTo/CI59i4lLrd5x0+7Bs+SUkJfFZUdQM0twM/Aa38PLYXlcXSBrX0Z22Xq/XmRM27vxToiooy+/vXuB21NHczfycZ12rc4XFtxj0xQhsRGVUHRaC8Baz02u4N/Ar6ENCPTYrVLaCfiaqUf+ux44w9qflLzYtAugz4A/+1ro6gshdaoYIqgRzl0lH97DWo6U9v4D/gMxz4ExVEEnVTNGrw4UKvfdNRAUPz5klXYu1aGyNHppUWj42O1nnjjcOcfba5L14r0ry5k5NO8gRXvvwyrtI6NLm5mk/RzAsuKI7YmxehHDli4e23PQGas84qoW1bGQ8U5eqNCsC7B5dzUCvgriz3GSan6zB+fDLvvef5Ozj33GL+97/DREdH7NcWF17oCV44HPDNN37zAXx8+aXvMYMGFZVzpDmktfCtFrL559ZVet6OZS18atfUb1Vu1ZE64aeffAdgWrYM7ypOD6NG7YyXDy7gv6ibhFcI/rKwa1BFOvse+9noVOBnqlYXRxwXtCLUNLjdXjtPRq0Mlgf6AVQGwy+oL0ZQdUNeNZzocJAbKszjelQg2F/W1Keo/mUS6mIqmLaiAobdUJ9Po7ao/u5sP4+JyGZDBWeGeu17F7gZ9b0bkf7+28aIEWmlI1A2m86bbx6mf//KpwOZ3bBhnovv7dutzJ1b8QX8e+8lUFDgGYUdOrRujzrWdU4nPPRQMocOqc+2psGDDx4Nc6uEiZ0FzMEzfT4XFYz/I2wtqiVdh0ceSeaddzzBmXPOKWb69MOmrr1SFeecU+JTxP2NNxJ8VuAzysvTmDHD8+9w0kl209cY63DONp/thdPOoqSg4lEDl9PC98/28dlnPE9dsnlzFB9+6Pm9NmvmpFOn8AVoXsR3yTe37agO5jaCf6NitBg4HXiGsiOJrVAj0KeGuE3CtLTNqOKa3xseiEKtDuZ9Jb0ANZ3A2CtlB615wkweQmUpGGdJZ6GmWo5ATeUMpZXAOahAufGbIBW17HL/ELdJBI8VFYy5xGvfp6hVvSI2OLN5cxRXXmkMzhzh/PMjPzgDcN11+TRo4Pn1jB+fVO7qDqtX23j2WU9Zs9NPt3PeeXXj36GuWbYsmv37Ky4KeuiQhdtvT2X2bM+lxDXXFNCzZ+RmhYmgOhM1M8DdCeQDQ1C17CLWxIlJTJ/uuXnt0aOE//3vMLGxkR2cAYiJ0bn77rzS7XXrbPz734l+j3W5VBaRd78xZkye32PNpFH7Q3Ts4wmuHNhcn7dvuoLcff7fZ8HhOD6461K2L/MskNv0pP207RnISTTB88sv0Ywdm8zWrVUrirRkSTRXXOFZ1ADg5pvzg1IEviotegK1tLXRLNQoczizCuzAGGAh8B7qRsWtASoyfTZqFFoc97S9wIWgn4UqPH0O0BS1OspeVK2kGcA3oLlA987C+ge0UAchRejdiv9g9BLUqnF7QtscHy5UseIlqMwK76mcCcCXqMDi8tA3TQSQOzjzf177PkfVfTP38FsFtm+P4rLL6vvMx7/zznzS052sWlW1eT1JSS5atzbvDOWEBJ0JE3K5//4UAPbtszJ4cH0effQogwYVEROjk5urMXNmPJMnJ5Ze5NlskJGRKyv9mNQ338Ty1lsJ9OhRQu/exXTu7KB+fRdOJ+zda2XJkmhmz44lN9fz2e7Zs4THHssNY6uFiZ0OfAO473oLUMX/F4etRQEwcWIi06Z5ko6bNXPy8MNH2bKl6hWB27d3EB9v3mDOddcV8OGH8WzYoN7Tyy/XY+9eK/fck0f79g50XQXfn3kmkR9+8ExfPffcYi64wNzTm9yGPD6P/wy/loIjKti8bWlL/t33dk7ot5nmXfcRn1JIUW4se9Y14u8f2/sUFrbF2Rk28Ts0i3l/h95KSjTefTeed9+N58QT7fTuXULnzg6aNnWSmOiipEQjO9vC+vVR/PBDLH/+6Xut0q1bCTfemB+UtlX2VzMaVfDX6DXUHHizXCl9g1oW+TvUDbdbY9TI8tmo5eqEALRf8D9dxItuAXp47fg9iA0S5jAMVXzXeJv0Berm2Czfrr+gMhfn4juVMxFVQ+lsYHMY2iVqzwq8jW8R/i9RwZqIDc6AWrHJOzgD8MIL9XjhhaovjnfhhUVMn27umaYjRxayfr2N119XNyp791oZPToFTVNLiOfmlo3CTJ2aQ/fu5sq06N+/mLQ0F4mJZS+0Tz7ZztSparzCai3/Qvzmm/MZPLiIdu3KfnRPOcX7HAFqdBA5HGq09ZdfKi/+3Lt3CdOnZ5v6RlOEzanAPDwDyoWozJmF4WpQoMyb5zulc/duK8OH16/WOb755iCnnWbeQukxMTrvvpvN4MENyMpS32effRbHZ5/FERur43Kpm35vHTo4eP31yKnJ0qBNNtdP/5gP7rqUI7vVOhSOEitr557A2rknlPu8eg3yGfn81zTvujdUTQ2odetsVV6dC1QQ/p13soNWN66iAM1ZwAt+9mcC44LTnFpZjWrzAnyXqG2PyooYSASnhouQ641aLcftp3A1RIRER+Adyq7U9A5qWolZgtFu/6A+o/OA07z2N0Kt7tQL8wSURNVdC4wy7EtDBd6qah4q00qEyWOP5dKunYOMjKTSGjO6TpngTP36Lp55Jsen+KRZdOlip0sX/zdKLVs6GTWq8pr5FU1da9XKSatWkVF3PzXVhcWipi1UJDnZxbhxRxk1qgBLTdZIFceDz1B9uls26p6qOvdV1+NbU1GEUIsWTr799iD33ZfCzz97Arbe017cLr64iKlTc0hKiqzbzxan7OW+Of9jyf+68/tHp5Y7xQkgIa2A7iNWcc7Nv5OQFhl9ulvz5k569y7hjz9sFBdXLYW1RQsno0fncc01we3nywvQpALvU7YGx2uYMzjjtgO1NN0SVPaM2wDUiitPhaNRIiLd7PVzEervQdRNscBHeNKN3WahPgdmC864HUIVFPwJtdqT2ymo4Prt4WiUqJV4P/v6+NlXEVNeuCck6LRqVbs/pYYNI+MiV9Ng1KgCzj+/mM8/j+WHH2LZvdtKTo5GgwYuWrRwcvHFRQwdWhRxF+7Ho3vuyePqqwv46acYfvstmr17rRw4YKG4WKNJEyfNmzs5//xi+vQpjvhCqCLojOsWN6OclWcr4O97IuyaNHFW+Sa3PDExlR9jBs2aOfn440P89FMMX34Zx6pVNg4csGC1QqNGTrp3t3PZZYWmy4ysjph6xZx3z8/0v/tnDm1PY+/fjcjPjqc4L5roeDvxqYU06XSAhu0ORcyUJqP27R188skhioo0li6N5tdfo9myJYo9e6zk5WlERUFiootGjVx06WKnR48SevQoCUkAvrwAzetAa8O+r1DTmsxuC2ou50/4doSPo6ZARWx1dBEq+un4TjGYCdqhcLVGBN1EfLNQAH5F1Zwx+7SSLOAi1BQ871zi21BZF7PC0SghjC68sMiUmSLB1Lixk9Gj8xk9Ojhz1EXo1K/v4tJLC7n0UllpSwh/Pvzw+FpHw2JRtWXOPbduF3fXNDXtqUGbuvv7jY3VTfe79BegGYAqoOrtH+BGaj6S3Bm1TGxXoAUqQ8cFHAH2ActQAZWdNTy/0XLgPlSgyc2KWia8J+YdERdhpzdGZcu4p7rkobKvRN3UBbjbsO8wwa05E3PsNY3TqfahplRV11bgGlQtLu/hq5eBH1GrQ4jIMBe1SlhtbA9AO4QQQgTebZTNoqmuyCzyIYSoMmOAJgZ41bDPAVxO9ZYYtqKWfL0CVfulRRWeowM/AM+jVl+qrf8ea8NIr33dgFtQU7XEcUW/B7U08izQyhkC0weiisR61zCaANqOoDdPhIOG6guMUzmvJ7g3uY8B4/3sX0bNAjSg+szngQe89rVETUl9pIbnFKG3GSnwLIQQddXscDdACGF+xgDNTUAHw76XqN60oOHAi1R/TqWGyt4ZAHwA3InKsKmNe4EL8F1+OwN1EyR5qseXPqjP5lHQFwBrgYOokYwmqM+J8bP/AioLQdRNg1ErHnn7hOBOCzoFGBOkcz+CWonKO8B4P6oPl1XshBBCCCGEMDnvMjc2yt447EYFNKrjVKofnDG6CrUaU2plB1ZiP/CoYV86KhAljk+JwFBUZsGzwNOoYKB3cMaBKij9AGiRWflKVIUxi+UovhkogRYF/I+yGTuBUogKyHiLJ7jvSQghhBBCCBEg3gGaKylbGPhp1E1Lba1Cpd8PQ9WhaYoKlJyCKjy80s9zTiUwK+e8jqrR4G0MFS8xLuqeX6l8dRMnqmbHGaA9JsGZOq0failqby8T3BVwxgGne21nBeE1vgJ+Mey7A0gJwmsJIYQQQgghAsg7SHGL4bF9wNu1OHcuarR4OipA48+BY49NQ43yTsU3aDQIFdT5ohbtcABT8C0Y3BK1PO03tTiviCjas8CzoHcBzkIFCZui6iXtQtUc+Ra0/WFrogglY39XgJrSFiyd8S02/T4qaHJxEF5rIr59WxKqFtfr/g8XQgghhBBCmIE7QNOOsrUYXqRmq5gcRWXePE/VCwvrqOkmDsreJN1F7QI0oAJNT6KydtyuRQI0xyFtDbAm3K04zj0ORAPvAevD8PpJwKWGfW8TnIwWUEHAd1BF2AEOoQLS/wvS630LrAZO9tp3LRKgEUIIIYQQwtTc2SpX47s8qxN181QTU1F1X2qyYPpLwJ+GfX2ofXp+CfChYd9Q1I2aECK0BqHqv/wN/I4KwjYI4esPp+wylzVdPakqHgTO8Nq+n+AX7TW+nzNRgXghhBBCCCGESbkDNAMN++cT3FoM5dFRKzh5iwLaBuDcxoBTLNA3AOcVQlTPv1B/6wDdULVf9gBfApfhyTQJFmN/5w4UBcMJqIwht/nAjCC9lrcPUIF2Nw01rVMIIYQQQghhUhbUqjbdDfuDucxsZdb52ZfuZ191/YmqNeKtfwDOK4Sonp/xZHi4g8Q2VFbbTFT9q1cpW8Q3EDTgXMO+YPV3FuBNPNk6BajaN6EoPr0XWGbYJ/2dEEIIIYQQJmYBelN22df5YWiLm+ZnX36Azm18X3LDIkR4PE3ZQIX7bz8ZGI1aeWsHkEngpuecRNmA74IAndvoHlT/6vYIZVeUC6YfDdt98d+/CiGEEEIIIUzAglr22tsBVMp/uHTws29PgM690LDdmbLBKSFE8G0B5gEuP495BxFaAA8Dm4BFwA3UrnbUKYZtB7CkFucrT2vgKa/tP1A1tkJpoWG7PtA8xG0QQgghhBBCVJEFVSPB2xpCk4JfnssM23tQN3OBsNawHaj6NkKI6nsHzxSn8mhe/++NWvloP2qZ6oGoFZKqo6NhexuBy9Bz04D/AvWObTuA2/CtCRMKxv4Oyr5/IYQQQgghhElYKHvBvjEcDTnmVOAcw74vCFzAaIOffcYAlRAiNBZV83h3MCcWuBKYgypm/iJwehXPYfx7D0Z/dzswwGt7CrAiCK9TmT1ArmGf9HdCCCGEEEKYVBTQxLAvlDUSvFmAafhObygBngvga+QAh1Cp/m7G9y+ECI3dqBozrWrwXHc/0QhV6+UeYBXwNvAhqtCwP40N24Hu75oBk7y2N6Lq7YTLNnyndUl/J6ojBuDw4cNs27Yt3G0JuPx8T/LcsmXLOHDgAGlpaSQkJISxVYG1a5daG6GoqIjFixcD0LRpU6zW6iYfmtfhw4cB2L17N4sXLyY6Opr09ECsLWE+hYWF7h/jKjpOiCqIdv9QF/t3gP379wNw6NAhFi9ejNVqpWnTpmFuVWC5+4QDmw6wackmYurFEJ8SH+ZWBU72P9mlP//6668kJibSoEED4uLqXhe4Z4+noosGZAENvB6/DZWeH2oTKHsj82/goQC/zhZ8pzWNAZ7xc9zj1OzGUQhRdRcATQlM8Vr92Hl0VIHc91CrQnlPYfoTOM1r+2ng0QC8ttscPMt468D5lF90fTZwsdf2MuCMALYFVJZSH6/tF4D7A/waou7KBlLD3QghRBk/4JupKUR13Qa8Fu5GCCHKisJTJ8EtLwztGAg8Ydi3FhUkCbSjhu3Eco67BN8bOSGEuXnXq+mPCo68AnwCvI4q1BvM/u4GPMEZUIHucK6IB2X7u9oUWBZCCCGEEEIEURRlVzGyh7gNpwAf41vsswAYART6fUbtFBu2o/0eJYSIZO56NYnATcBQ1HQoY39XEqDXawI867W9FxgXoHPXhvR3otbuvfdebrvttnA3I+AKCgro3r07AF9++SUdO9a9GtqzZ8/moYceolmzZsybNy/czQmKBx54gO+++45rrrmGcePM0O0Gzw033MDSpUvD3QxRx6xbty7cTQiK5557jjfffJP+/fvzyiuvhLs5QTF48GC2bt3KU089xfDhw8PdnID7559/GDhQjX0uWbKEtLS0MLcoeP766y+uuuoqQAVo8vEdVQ3l5OvOwPeG17ejCoAGq7cwZsyEI2NICBFcLlSQ5iieDBoou2KTMaOmpl7FdyrIncDhAJ27Noz9nTGjRohKxcXFkZKSEu5mBJzN5onXJiUl1cn36K6nY7Va6+T7A4iOVnHn2NjYOvse3bw/s0IEgqZpdfbvJiYmBlB/N3X1PbrriSUkJNTJ93jkyJHSn1NSUurke3RLTPRcskehLti9AyTlTfkJtPaoObSNvPa5gOuBWUF8XWOKv3GVE7dFwK4gtkMIAT2BhgS+Bs18/NegMQYoAhGguQoY5rU9E7X6nBkY+zsJ0Ijq2Ap0C3cjhBBlrA53A0TEq5uVgYWoA6KAI6iVR9xCUfq+BTAPVRzUTQdGAx8E8XWt+BZEBvX+/ZFCmkIE30ZUgKam3EEZUBesb1PxKk7Gv3fjqk7V1QB43ms7B7i3lucMpEaG7fL6OyH8KW8AQwgRXofC3QAR8WQGgRAmFYUaITvJa1+wJ2E3BxYCrQ37/4VnGkKwtOLYsqFetgT5NYUQ/jVEZdLVJHvGHZg5gKph9Q5qhabKGJfVFcrfWgAAIABJREFUrm1/9xy+QZAxqOXDzSAWaGnYJ/2dEEIIIYQQJhUFbACGeO07IYiv1whVc6atYf8j+I5CB4u/m7GNIXhdIURZ51K94Iy7rkwR8DlqCtM8wFmNc2wwbNe2v/MObjtQy4ZXdenT0w3b7VD1crx9i8oKqon2+BZfh7LvXwghhBBCCGESUcB6w74TUXULAp3a3BD4EVUY2FsGMDHAr1WeXobtg8f+E0KE3rX4TlHyx7uuzBJUsGImNe+fjP1dKipIE4jARRRweS2enwpcYdi3pxbnM/Z3LmBTLc4nhBBCCCGECCIL8IthXxRwToBfJwWYA3Qx7H8WeCLAr1WR8wzbP4fwtYUQHi2Bi/EfnNG9ft4JTAE6oDJuplO74PFSymbc9KvF+czM2N+tAArC0RAhhBBCCCFE5SzA38Bew/6qpuhXRQpqGoJxJYgXgAcD+DqVSQJ6GPYtCOHrCyE8HkX1P97cgZkcYBpwJqpu1FgCVzslB1hu2BfI/s4srEB/wz7p74QQQgghhDCxqGP/nw9c7bV/BKpob3VqO/iTDMwFuhv2v0ToV0kaDkQb9v0Y4jYIIeAs4KZjP7vrythR9VbeBb4BioP4+vPxDdZehOqrcmpwrn6UrfNSVR+hata4/UXZoEpN/x36U3YFJ+nvhBBCCCGEMDF3gGYmvgGaJsD5qOBKTSUde74xa+VN4L5anLemrjVsbwTWhKEdQhzvnsMztWk5KijzEaGrBzUTlZXjFouq/fJmDc5Vm+lWdsO2Azhci/N5M/Z32UgGjRBCCCGEEKbmDtB8g7o5auD12B3UPECTAHwN9DTsnw7chm+NiVA4Eehj2PdOiNsghFDmoLI53qNs0d5QWAasxXcFpjuoWYDGjBoBlxn2fUxws5JEYCWjvj/PBE4D0o/91xAV2MtG/e38CrwPbA9LK4UQQlSXBnRCFfLvhaqx1xB1D1YPyEOVnliOuj/7hrIDOkKIEDh6VGP/fitHj2qkprpo3NhFbGzwwxjuAE0JagT7Lq/HhgInA6urec54YDb+AyI3o6Y0hNp4fOtduIAZYWiHECK0hcHL8y6q+LDb6cAgVPAo0j2A6oe9SUA6ctwPPEPZGk3eUlHLsl8MPIka/BhD4DKwRBDk5mocPGjl8GELNptOWpqLpk2dWCr6TZuY3a6xYEEM334by/btVrKyLKSl6TRp4uS884q46KIiEhNDPR4nhOntRwVkylMPaIwKzt8M/APcDcwKftNETdntGtnZFrKzLRQUaNSrp27mk5PDcdsbGLt2Wfn88ziWLYtmzx4LDodGerqTE090cOmlhZxySt2MG+7caeWDD+KZPTuWLVuiyjzevLmTvn2L6du3mAsvLMJa00IHFfB+1RdRo8jul9GAR4CR1Tzn60Bfw748IAuYVP0mAqrIcE3rJ5wA/J9h32eoDk8IcXx6E9W/JXrtexT4jtBn+AVSQ2C0Yd/PqNWrRGRIpuLgjJEFVdPpTNTUZGPRfxEGBw5Y+O23GJYvt7F8eTSrV0dht5ddtK5ePZ1u3Uq44opChg4tJKrstaAprVhh4+67U9i61bfB27YB2Jg9O5bHH9eZODGH4cMLw9JGIUwqtZrHtwS+QgXhnwl8cwJn2rR6LFpkLPdZuXPPLWH06LwgtCg4XC5YsSKaZctU/758uY29e/3fpbdu7eSCC4q45poC2rVzhLilNWO3w0svJfLCC/VwGqrRbtwYxU8/xfD66wn07VvM88/nkJ5e25K15uBwwOuv1+O55+pRWOhvkVll1y4rM2bEM2NGPOvW7SclJfBBOO9v1s3AJ8CVXvtGoAIu86txzqZ+9tWjdis2FVDzAM3z+Bbx1IGJtWiLECLyZQP/AR7y2ncmcA0quyZSTcE36ATS30WqbcAPqADbetQgRw7q4r49MBi4EYg7dvyJqMzQ84nsIGOd8OKL9Zg+PaHS4/LyNBYtimHRohimTUvg5ZeP0LmzuS/i582L5aabUnFU0szcXI27705hzx4rd99tzpuvgwctfPddLADDhhWSkBC8P539+y2sWhXNkSMaxcUa6ekuBgwoCtrrCVMrRvXt81ELBGxB1bTTUAMtPVHZM96LrEwFVmDigv/um/fqatIksrJM8vIsDBlSv0rHbt9u5b//TWD69ARGj85jzJijps6atNs1rrwyjV9+qTzQtnBhDBddVJ9vvjlE48aRHaRxOuGuu1KYNSvOZ7/VCg0aOElLc5Gfb2HvXiv2ECQOGcdqJqKCMt4BjVeBU4nM+gUjUNMWvH0JrApDW4QQ5vIcKtuknte+f6PqZ0XiVJHewPWGfb9TN6ZtHU8+RdVnKm9p+UOoAZXvgFdQGabNjz3WH7WyWHUGVUSIJCe7SEtzUa+ezuHD6kLPe3Ry3Tobl11Wn5kzsznxRHOmjm/YEMXo0SmlwRmbDW67LY8rryykWTMnhw5ZmDMnlueeq0d2troLycxMpEMHBwMHmi8YsWOHlYceSgagb99iEhICf5Nht2s89FASn34aj8vrPrRXrxIJ0ByfLkIFZwrKeXw3KmjzBvAUqkwDqODNU5g4QHM8i4qC9HQnSUk6TqfKojxyxBOJsdtV4H73bisvvXQkjC2t2LhxST7BmZNOsjNmTB5nnFFCTIzO33/bmDYtgTlzVGB7714r11+fyqxZh4iOjtyxoQcf9A3ONG3q5IEH8hg0qIjUVE/HbbdrrF4dxQ8/xPLxx3H+ThUQxgDNWtSosnctmk6oUdlwrLxUG81RwSVvhdQuk0cIUXfsR13seNeiaYSq13IJwc9CyMM3EHS0FudKRrXbOyfTBdxbi3OK8FhbjWPXo4KM3rUJhhDmAI2uw6BBas2B8eOP0qdPcMZ3Cgo0Pv44np9/jubQIQuFhRo2m87XXx8KyutVV7t2Dvr0KaFPn2K6dy+hfn3fUeLCQo1582KZOrVe6VShnBwLd9+dzNy5B0053SkjI4n8fNXNWK0wfXo2/ft7fr9Nmji58cZ8+vYt5pJL6nPokAVdh0cfTaJfv2JiYiL3Ar6mnn++Hh9/HI+mQe/exbRurYJAbdqYO1NKBM28Kh7nQk3F7ofK8AVVVLgRcCAI7Qqorl3t3Hln1TLnWrSIvOyLuDidXr1KOOecYs45p4SOHR3YbL792+bNUbz9djzvvJNQGoz/7LM4+vUrZtgw8039XLHCxocfekoYnnVWCe++m018vOd9detWwltvlfDUU0n85z8qS3TVKhvvvhvPzTfnh7zNgfDtt77Blt69i5k+/bDfjEqbTef00+2cfrqdBx4IXjaUv6//CagVQLynKt0DLAK+qMI5xwBptW+aj/JGEssTBXyI76pUAJnA1oC0SAhRFzwHXA109do3BHXTawzwBpqxNlZt/Adoa9j3FvBbAF9DmNO3qMEH99VF6/A1xWPVKhuAzwhiIB09qnHppfX5+2+bz36zjOA9+uhRYmNzKzwmLk5n6NBC+vUrYvjw+qxZo97L33/b+PnnGM4911yJy7/9Fs2iRZ7pCzfdlO8TnPHWtq2Dp57KZfToFAB271Zz9m+6yVwX8A0buhg1SiUyBGt60yefqD/NW27JJyOj4s+EEAY66t7LHaDRgFZEQIAmPd3JkCF1M0OsXj0Xf/+9v9Lvm/btHTz9dC5nnGHnjjtSSve/8UaCKQM0U6cmoh97SwkJOi++eMQnOONt3LhcFi+OZu1a9b310kv1GDWqICQrHAVSQYHGhAnJpdtt2zp4553DxMVV/j6COYji79S5qGrhM732acDbwA7gz0rOWdnjwaYB01Dp/t5WoeZvCiGEmwO4HViMb3/4HLAJ+D4cjaqmx/GtHQawCxgbhraI0HOiatO4AzQmnt0eOG+9lcDff9uIjdV54olcunSxY7WCVn5dv5CqzkVqYqLOY4/lMmKEp6bBkiXRpgvQzJzpGWGMioI77qg42HLJJYVMnZrI9u3W0uebLUDTsqWTqVNzgnb+wkKNPXvU++/RoyRoryPqNGNKoEl6ueOXxVK9wYBLLink/ffjWLJEBbhXrrRx9KhmqlXusrIsPvWDLrtMTVstT1QU3H57PnffrQJPBw9aWLQohgsvjKyg3FdfxbF/v+ey6emnc6sUnAm28i7kPkfNbfeWhJrzfkJQW1R7TwG3GPblo0arI+tTI4QIhV9RacTeolGjVmeFvjnVchuQYdjnQAVsskPeGhEOyfhmi24IV0PcNA2+++4g3313MGhBhsWL1YXk0KFqdYzTTrPTtaudk082Z+2WyvTsWeKTKp2VFYR1O2vB5VLFgd3OPru40pU7NA0uvdQzSrxyZfkrnUQSu11j504ru3dby6xwYuS9Ekh5I9FCVKK9188u1OCRiDC9enkCtLpuvj7+++9jfWpkXXZZ5Rk+gwcX+QxGuOvSRJIZMzxTutq0cZhmYKSikbYHgT8M+xqiVpU4KWgtqjkNVeR4gp/HbgX+Dm1zhBARZCrwjWFfPDCbstl4ZnEXKlvQaDywJMRtEeFzJ77ZXx+HqyHeunZVAZPk5OCszpGVpS5fmjePvNoF/lgsvtk/ZksT37o1igMHPJeMPXtWLRvE+zhdV9OkzOTvv6MYOLABAwc28BlFBTWNzv3YH39Ek51t4f77k+nUKZ2ePRtxxhmN6NIlnaefTqSkxDep4eefoxk4sAEjRnhm/E+YkFR6voEDG7Bvn7lu0IQpJQPXeW1/T2QuYnDcM06HMUOWhrelSz19c3S0zmmnVT7YEROjc+qpnuPM1r9X5uBBCytWeKZJDx1aZJos3IpmTxWjajH8DLTz2t8cNR1g6LHHzMAGvIZactToUeCD0DZHCBFhdFTWyXx8l7VMRV0QXQl8FYZ2+eNeycFfMPp11EpUou6LRhWBftJr31vA8vA0x5c7VbpTJzsNG/oGaZYti6awUKNlSwetWjkpKdGYOzeGDRtsFBRotGnj4IILikhP931eSYlWehGZl6euonbtsvqkZZ9wgp1GjSJryVaA1attPtkYXbuaKxNo0ybfy8WqZioZjzOeJ9wKCrTSekl2u++VucvleWzzZrV61e7dVhITdRo3drJvn5WcHAvTptVj+/Yo3nzTc9+cm2spfa7btm2+773YHAO1wrxOBKbjqQlagKrzKSLQX395+oNGjVymW5bau2/u2NFR5SlcJ59sLw3M7NplpbBQM13wqTzevxOA7t09Awrr1tn4/vsYdu2yUlKikZrq4sQTVYZNKH53lX1T7gcuQAViGnvtTwMWojJWnkSl3IVLC1RB4LP9PPYa8HRomyOEiFBHgUHAT6jV69ziUNOdXkZlFobzzqkBqh7YxX4em4XvCnyibrgUz9TiGKAZaqCkF74F+f8H3BHapvmn6zBypGraa68dYehQ31Tp++5LZuvWKP71rzz69i3mtttSSut0uGVkJDFlSg6XX+557uHDltLzun3ySVxpEVaAadOO+EyriQR2O0yenFi6nZzsYvBgc72HzZt9Lxcrqk3gLS3NRXy8TkGBCn6YLUBTVU88kURKiotPPsnmrLOKsVjU5/HRR5P4/PM4vv02lsWLY0pXLBs0qIg9e/aSnW2hS5d0AD74IJu+fSUqI3yk4VuWoQGqj+8AdMNTb2YfqlTDmpC2rhYKCy3MmxfLX3/Z2L/fQlQUpKS4aN/eQa9eJXUm+7Eqfv012meK6NVXF5gmU4P/Z+++w6MouwYO/2Y3m00jIXQFpAsoIggWBDuooIAg9ob1U1CwJwFEVEoAu4LlfdXXLtixISCKghUVEUSB0KSFEtLLtvn+eJJsySbZkN2d3eTc18XF7szs5CTZzM6cOc95UJ/Znsf4uvxuPLd1uVS15bHHRtYNhur4JtF79XKwZUsMd9+dws8/+68GMplg1KgSJk0q4IgjQvceDuSTcgtwNvAlKhni+doHUXebbwP+DXp0NdNQs688hf9Zo55FppgVQtTNAWAIqt+W51BODTWbXT/UyZQRQyYvQCWd2/lZ9y5wDar/jGhYrgLGVLPOhfrdP0PkVLQGbOPGGF58MRGrVefaa4s58kgn27aZ+eKLOPLyTNx9d1O6d3dUVmHEx+uVM+58/HE8BQUaxx/v3XemY8fo+RNwueD772OZO7cJv/yiTgbNZpgzJ4/k5Mi6A3nggPfwnyOPDPy+3BFHOMnKivG7n2jhcsG77x70mg44NdXFnDl5fPONlZwcE598EheyKeVFg9USNcNsdbahPvefRzWDjxorV8aycmX1Q14GDrQxcWIBgwY13ObZBw6YeOedBJ58MqmyQrJ3bzt33BHY9OPhUlKiUVTkzhi1aRP48d23mqRi+HE08OwDFBMD27aZueqqZpU3FPxxuVTD++++s/Lqqzkcf3xoklGB3srYgGqW+SWq5M7TBeXrHwGeRA2NCrVeqBPSM/2s01ENP2eGIQ4hRMOzEzgN+ISqlXkDgTWoWZ5moqpuQq1T+de7qJr1Fcno6BvXIerLhKpyPQBsBXYbG07dfPJJHKeeauOVV3K8ZrO4885CzjmnJUVFGs8/n8i8ebkAJCe7KmfcWbnSSkGBmSFDSrn77sg62fXn/vtTvO7W2e0a27aZvZrItmnjZPbsPIYMibyLfM+Td6hb/wTPbX33Ey1Gjy7xSs5USEjQOeecMt59N56//7b4eaUQ9dIBuBiVqImI/mLBsmpVLN9/35xbby1i0qR8zFHckumvvyzcfXeK17KcHBM7d7q/qYqm6bNm5UdcjzHfhERdGpr7bhtNx/i8PHesFovOTTelVv4szjijjIsvLuGoo5w4HKra5vXXEyqHqu7bZ+Laa5uxZMmBWhvmH4661JruRDXLfJmqFwqJqAzwBOAxVB+EUMyl2BfVd2EU/hsc56Pubi8sf34ZYEP1jpCLFyFEoA6hKmmeBm7yWReLmsL6FlSi+GlCM2PS0eVf52pUny1fZcA9wLwQfG0ROd4EVpc/jkE1jewOnA40RfVJGo/qk3QxavhxVIiP13n++UNVpho96ignl19ezEsvJfL999ZqXh1dtmyJqVJOXcFigZtuKuL++wuwWiPrxL2C5wm8yaROZgPleTESTSfvnnr2rP4u6ZFHqpPzQ4ei83sThtqP+pyvkIQa5nQScAKqevdE4B3gElRFZeRlcH00aaJz0kk2evSwk5rqwmqF3FwTa9fGsHKltTIxrevw3HOJ2GzwyCP5Bkd9+IqKtGqP76B6usyZk8dJJ0VmtZDvcbkuCSTfbaPpGF9Y6E4llJRolJRomEzw6KN5XH55sde2p55q48Ybi5k4MYWPPlLDqvfvNzF1ajIvvBD8vt11HQx8CBiNuls7G3Wh4ulIVILmQeA94DXUbCL1SS21RCVargZOrmG734FLgc0eyx5BjePMQjXOfA2IrIHdQohIVYJK+H6DKi9O8lnfDHWsux+VBH4dWEr9etSkoI6x16IuwKurFc1CHe9+q8fXEtHho2qWx6MSM48Acaj346eoYXiGT7UdiAEDbLRo4f/eSUXZcHa2ibIyLWITF8Fgt6uLlG+/jWXatHwGDoy8k3i9Hj9+z14L9dmPkSqSMP5U3EF2OKLnwkREjBzU9ZQ/xwHP4a7kvRhVtXt9GOI6LCefbGP48BJOP70MSzX5itxcE48+msQrryRWHg9eeimRQYNsnHdeafiCDaONG2O47LJmXH11MWlpBSQlRdaBMFjH9/ruK9z83Wi45ZaiKskZz+2feiqPf/6xsGGDSqF89lkc27aZ6dgxuFU0h9OtTUcNZVqKKq0/0882yagZlW5AJXVWAF8D61Enjjur2Xc86q7x0ahkzNnA8dQ8HXgRqhHw46hqGU8vAI+iZqGqaBj8NGpq2oM17FMI0chM06eZYrfGPmnWzG+ldUr70WPVm6hE85P4H2YUj2redzlQiGoy/DXwB7AR2IH/Cr5YoCuqGqI/cBbqTllNx2U78ASqOXsoqhRF9ChBfb5tQA3H01DVrI8BFxoYV8A6daq+X4znDE6FhdGfoJkzJ69y5imHQ83ys2lTDMuWWVm1yorLBevXW7jssubMnJnHtdf6P0E0imcZu8ulkkrVXYD5Ki11n8EnJkbn79EUPW0VRMPxJ3AO8DnqeghgLPAi8INBMdXoiitqP241bepi+vR8OnZ0MnVqcuXy2bObRG2C5phj7CxefKDyeVGRxoEDJlavjuXjj+PZt0/daHjppURWrrTy7rsHq705YQTf43JpHX4NnsN0gYhLPtXE9/uOjdW5/faah0xbLDp33FHIuHFNAfV5uHx5HDfcENxT8vp85KxHHTCuRo19r04q6qLmKWAZqplwCaqsLwt1crkDlUUuRvV3WIgq3e9bQ4wu1OxNx6CGV/m75fQ8KkFU8Rtojrqw2Y2qpjm61u9SCNHgTdOnmaxbrC9paHe4dNeXM7fO9K3W244aWnkBNc+ikISaCWoOqmfXVtTx7iDu49021PGuBHUc/QCYBAyg5uTM56iEdRqSnBFunwHvezwfiqo8jXhNm1Z/ImcyuddF0x256nTu7KB3bzu9e9s54QQ7Z55Zxs03F7FgQQ7vv3+wMiHlcsHkySmVTYMjhe+JrO9JeU08t43WBI0QBikDxvksu86IQILtppuKOO0092itv/+O4Z9/onOWt8REvfL43ru3nQEDbAwfXspDD+Xz44/7GDvWnbj6558Yxo9vamC0VVU9vgeeHvD9LKhL/xqj+SaT+vSx06xZ7Ymzs88u80rar14d/P5j9b0noKPuLh+NOmD8HeDr4lBjLDujprNtj0rkBMIOvIpKzFyJSu5UpwjVn6Hi3VPxfyxqxpOKO4+nBPi1hRANzEJ9odm61foyGmPLFyVruuYvSQMqSdIbNQxptZ/1/sSihp9UHO86oI53gRx/XagETj/cDdmF8LXI47EJ1btARImTT7bx1lsHK8utnU51NzmSNG/ufdK6d2/gHT09t/XdjxCiVv/gPWy1v1GBBNs113hX3DSUnmOe4uJ0Zs7MY8wYd4eN776z8t13kfO9xsfrXs3cs7MDTw/4fhZE0zHedzrxzp0DmwUyOdlFy5bu79NzNqhgCVbRpgNVkXIMqm/Cf4DcIO27wmrgTtQUs2MJfIz9M0Ap7ioaTybURc8PqClKh+NO4gghGriF+kJz1tasV6h6RypF07VB1bxMBz5EDUfqj6oO3Bfk0P5CVdV0Qo07l14zoibZPs8j6/acqFXPng5GjnTXlf/wQyyHDkXOuJquXb1PXHftCuyENC/PVDm0y99+hBAB2evxuMEc3084wbtl3549kXPMC7b77y/w6tfyxRdxxgXjQ9OgSxf3sTnQ47vvtr77iXTdunm//+pS4ZmQ4D0MO9iC/Zego/ov3AK0Ac4AHipflleH/bhQQwPeRPWx6YS6GDqcC6F9wEtUn3ipWH4K6i7kn6j4I+cvRwgRdB7JmWt812loD2R0zngsgN38ikoct0UNUZqEGspZ1x5X/6Iaq49DVdkcC8yi5gpBISq08HkeilnFRIh5zvCh67B5c+SU+/smVtavD6yk+88/vbc7+ujoOXkXIoJ4DlttMMf3lBTvaouCgoaboGnXzunVbHzjxsg5voP3Mf6ff2Kw2wNLOqxb5z7GH3mkM6qGsfbs6f155DmrU208t/V9HwdDKN8dZcC35f+mlS9rjbr4aI3KADcpj6EI1Zk8D9WnYSPBnUbuMeBWoKaUYMVPuiequfAjqO7pT6H62AghGojy5Mz/UD20fE1J75w+o467dAA/lv+bVb6sOaoBcFvU8S4JNdypGNVMOBfVj2Yj0lNG1M9gn+dbDIlC1Ivv2P2yssgp6O3a1UGzZi5yctSp0s8/B9Yj56efvBM0J54YeTNUCRHh2qKunSo0mON7bq73BXFycvQMjzkcnsf4sgibLP2kk2yV00eXlqppw/v1q/l4bbdr/P67+xgfqdOIV6ddOyfduzsqex8FmjQ7eNDEgQPu9+4RRwR3BicIbYLGn2yqlmKHw1ZgAapnTW0qfuItUFPo3ouqwHkUdZdbCBHFakrOaGiT0zunzwzSlzoIfB+kfQlRnT7AVR7P/0Hd6BBR5t9/ve8htWgR/JO+w2U2w5AhpSxYkADAihWxHDxoqrXfwKJF8ZWPe/Wyc9RRkfM9CREFNNSkA56ZjM8MiiXofv3VO4EbigvdSOFwePdr8exhEgmGDi1j8mR3U/6PPoqrNUHz5ZdWiovdNxKGDYu+WbiGDSvln3+SAFXxuWePudb34ZdfxnlNXjBgQPATUw23lqyq2fjvQ1Odip9NIjABdcL7GtAryHEJIcKkPDnzKv4qZ3QmBTE5I8ThGIqq3Ax0hsELgCWoyqwKTwQ7KBF6ug6ff+4eWR0fr9OxY2RdrIwa5T75tts1Xn45scbtlyyJY9Mm933Aiy4qqWFrY3To4GTOnDzmzMkjNdX7gik+Xq9c51sK7+nss8uYMyeP9PSCKusSE9376N5dhncJXkUNq46vbUPUZAIv431zeQfes/ZFtddf9z6GDBwYXRUYdbFihZWCAncyo6ZjihFat3Zyyinun/+778azf3/1aQKXC154wf37S0lxceaZEVYWFIArryzGalXpAYcD5s5NqnH7oiKNZ55xb5OQoDN4cPC/78gaABdaa4HFwPkcXiNgC+qi7hpUQ+HZqBmghBBRYKG+0Lx52+bXNLQqlXSarmWkd0nPNCIuITxYUcNxb0V9Zn1T/v8u1BDgONTQueOAEajqGU/LUU36hYHy8000aeLyaghZm+eeS/Lq13LWWWXExUXWWP7TTy/j5JNt/PSTygc++2wiZ5xR5resffduM+npyZXPW7VyeU01GylatHBx9dX+44qN1atd5+nYY+0ce6zd7zqrNbB9iEajJ3AtMB9YipoA5R9UK4USVOuHzsCpwEgg2eO1DuD/UMOkI05JieY1E1Btnn02iVWr3PcWevZ00K1bZCUtqpOXZ6pT35H9+01MnZrstez88yOMJ+i+AAAgAElEQVSv2uTeewu4+OLmgPocu+eeprz00qHKGQY9Pf10Er/+6v79jR9fFFX9Zyq0bevkxhuLmT9fJZveeSeB9u2dTJxY6DWVNqifyc03N2X7dncl1NixRQFNzV1XjSlBAyqpMrQer6843RqAaii8BnW38i3UgVMIEYEW6gvNWduyXtd07QqfVbqmaXeld05/ypDAhKhe7/J/gVqCmv7d8LppTYPdu/dUu37lyv217mPgQFuN+/j++2BPnBY8n30Wx3//m8gNNxQxdGhpjSdvu3aZefzxJN5+O6FyWUwM3HNPYThCrbMHH8xn1KjmlJVp2O0al1/ejHvuKeTSS4tp2dJFQYHG4sVxzJrVxKucf8qU/Co9doRoxJKAUeX/AlGEmsF2cagCqq+xY1Pp0MHJZZeV0LevrcrFbYXsbBOzZzfhnXcSvJZnZOSHIcrgGD68OaecYmPMmBL696/+e3U61XCYhx9OZscO9/Fw6NBSjjvOf1LXSAMG2BgxopRFi1Q157JlVi65pBn331/AiSfaMZt1Nm+O4bnnEiuHu4LqUXbDDdHbSvHuuwtYtSqWP/5QN0nmzm3Cp5/GcdFFpXTs6MBu11i3zsLChfGVfdgAjj/ezn33heazurElaFagptQ+mfoN76p4bW9UueLDqETNf4jQzLYQjdULq1+wZG3JWoBW5URI1zX9zoxOGU8bEpgQVWWhZgEbSGAl8KDuvmaiPovkCjhCbNgQw333pZCensLRRzvo0cNO69YumjRxUVyskZNjYv16C+vWWXD55G8eeCCfnj0j7+QdoE8fO48/nsfttzdF11UzyRkzmjBjRhOsVt1vY+Nx4woZMybyhjcJYYBPUUOXuga4fRnwAZABbA9VUMFgs2m88UYCb7yRQMuWLo47zk63bg6Sk13ExqrGquvWxfDTT7FVZgi67baikAwTCRXP7zU11UWvXna6dHHSpImL2FidwkITW7ea+e23WK9msgAdOzqYObMuExuH1xNP5LJjR3PWrFHJip9/jmXMmOaYTGA261V+d82bu3jttZyoTsAnJOi89loOV1zRjL/+Ut/3hg0WNmyofrbCk06y8d//HqocHhVsjS1BA6rZ1odB2lfFX10H4EngPtRBN/Lq1oRohKatnxZ7KO7QAjQu8lmla2gTMzplPGNIYEL49ycwBJWcGQicjpoJrB2q9N2OGuq0F/gNWImaOUxEKKdTJWs2bKj9dCspSefBB/O56qrIvs8zalQJLVq4uPPOFPbscd8V9k3OxMXpTJpUwI03Ru+dVSGC7OHyf51Qs+/1RQ1paoHqJVaEmuFxA+oY/zlROK32/v0mli+3sny5tcbtYmJg4sRC7rqrav+maHHokInvvrPy3Xe1bztggI1nn82ldWvDC12rFR+v8/77B5k5swkvv5xY2QzX5QKXy/sY36+fjWeeyY24fmmHo2VLF198cZCnnkrilVcSOHTIfx1Hy5Yubr+9kLFji/0O/QqWxpigWYS649iN+jdJdnnsYxMqM95wO1wJEUWmrZ8WGxcXt0DX9CrJGWBCeuf0Z42IS4gAlKAqaZYZHYiou9NPL2PixEKWLrXy999VK2R8tWzp4uKLS7jlliLatImOE93TTivj22/38/nncXz+eRzbt8ewf7+J1FQXRxzhZPDgMi66qCTiZioRIkJspYH1Cxs5UlXJrVlj8VtJ58li0bngglLGjSuiV6/IrBasyZQp+XzySTzffRdbZapwXyaTSsxcc00xw4eX1Kk3mVHi43UeeSSfK68s5v33E/jlFzW7kd2u0aaNkx497IweXcrAgWXVDu+KRhaLzr33FjBxYgErV1rJyoph714TFouqFOrb10afPnbM5tr3VV+NMUHjQvWiebme+zChstvzUVPeRe6AeCEamWnrp8Va460LdfSRPqt0De2O9M7p8wwJTAjR4LVt6yQtrYC0tALy8zXWrrWwbVsM2dlmSko0NE2naVOdNm2c9Oplp2tXR1hO+IItMVHnkktKuOQSGb4kRGM3dmwxY8cWY7NprFljYds2Mzk5Jg4cMFNYqJGS4qJZMxfHHmunTx87SUnROyTmwgtLufDCUnQdNm+OYePGGP7918zBgyZ0XSM+3kVysk6PHg569bJXmSEuWvTs6WDKlOjpDRQsFotq1H/WWcYNu2uMCRqAN4HpQBvqVkXjmZiZgOpnI4SIIOXJmXdRs9x40tG5Pb1L+nwj4hJCND7JyTqDBtkYNEiKa4UQDV9srM5JJ9k46SSjIwk9TYNu3aJn9ikRPRpQYVKd2IDHqPv37wJuRzUZluSMEBGmPDnzHn6SM5qujc/okiHJGSGEEEIIIUREaqwJGlBjP3Op26wXJqCQCJjGVAjh7elNT1ut8db3geE+q3Q0xqV3SX/OiLiEEEIIIYQQIhCNOUFTADwL1KVdkwnVu+a6kEQkhDgsT2962lpkLnoPuNBnlQuNGzI6ZTxvRFxCCCGEEEIIEajGnKABeAY1JXZ1VTQuqlbLVCRpxoYuLCFEoB7/9/H4QnPhJ1RNzjh1Tb8ho1PG/wwISwghhBBCCCHqpLEnaPYBL1F9FY0JuA01fbbv8pfL1wkhDDJt97SEMnvZIg1tiM8qp4Z2w6ROk141JDAhhBBCCCGEqKPGnqAB1SzY6We5DnyL6lVzMfCJz3oNmAeMC2l0Qgi/pu2elhBXGrcIGOyzyqmjX5/eOf01I+ISQgghhBBCiMMhCRrYCiyoZt04VKLGBowBFvms11B9bCRJI0QYTds9LcFaZv1ERz/HZ5VTQxs7qfOk1w0JTAghhBBCCCEOkyRolNl496HRgc+A9R7LbMAlwMc+r61I0owPZYBCCKUiOYPO2T6rnBra2PTO6W8YEpgQQgghhBBC1IMkaJS1wGLcSRoNmO9nOxtwKfCRz3IN1XD49lAFKISAuXvnJsaVxH3qLzmDznWSnBFCCCGEEEJEK0nQuM3G3Sw4H/iymu1swGX4T9I8DdwRkuiEaOTm7p2b6Ch2fKpr+lk+q5yarl2b0SXjTUMCE0IIIYQQQoggkASN2wrgh/LH31F1em1PFZU0H/os14CngAlBj06IRqwiOQOc6bPKic416V3S3zIgLCGEEEIIIYQIGknQeJtd/v83AWxrR/WkedtnuQY8CUwMXlhCNF7lyZnPqJqcsWPikowuGb5/g0IIIYQQQggRdWKMDiDCfAyMAL4OcHsncA2qd82VHssrkjTxQGYwAxSiMcnMykxxFDsWA6f4rLLpmn7ZpI6TfIcaCiGC5wiAFStWUFxcbHQsQVdWVlb5eMKECcTHx9OlSxdatWplYFTBtXr1agCys7MZOXIkAP3798disRgZVlD9/PPPACxatIg1a9aQlJTEcccdZ3BUobF9+/aKh52MjEM0CK0BdF0nM7NhXqosWbIEgJ9++omRI0disVjo37+/wVEF165duwB45plnePvtt2nVqhVdunQxOKrg2bdvX+Xjq6++GovFQo8ePUhNTTUwqtDYu3dv5WOthu1E4MzAq8BVftZNAmaFNxwhol9mVmaKrunVJ2c6SXJGiBDLARreWZAQ0W8ZMMToIERU+z/geaODEEJUJRU0weEErkNV0lzts24mKhE2M9xBCRGtypMzXwIn+6yyaZp2aUanDN/p7oUQIdK1a1c6dWp4N+ydTifLly8HYMCAASQlJRkcUfDt3buXP//8k7i4OE477TSjwwmJtWvXkp2dzVFHHUX37t2NDiekVq9ezaFDh4wOQzQwQ4Y0zFzfpk2b2LZtGy1btqRPnz5GhxMS33//PUVFRRxzzDG0bdvW6HCCrri4mFWrVgFwxhlnEBsba3BEoZObm8svv/wCSIImmJzA2PLHvkmaGagkzYxwBiRENJq2dVpTl+76UkM7yWeVTUe/JKNTxiJDAhOikRozZgwTJjS83vdFRUV069YNgBkzZtCjRw+DIwq+Dz/8kPHjx9OqVSteffVVo8MJiVtvvZVFixZx3nnn8dBDDxkdTkhdeumlrFy50ugwRAOiaVqDPTbMmDGDefPmccIJJ/DKK68YHU5InHHGGWzatImbbrqJyy+/3Ohwgm7btm2ceuqpAMybN49mzZoZHFHo/PrrrwwfPhyQBE2wVSRpdFRvGk/TUUma6WGOSYioMW3rtKaxeqzf5IyGNiajc8YnhgQmROPkMDoAIYRfNqMDEFFPju9CRCiZxSn4nMD1wGt+1j0CPBDecISIDtO2Tmtq1a1L/CRnyjS0Memd0yU5I0R4rTM6ACGEX98bHYCIehuMDkAI4Z9U0ISGE7gBVUlznc+6h1GVNA+HOyghItWs7bNSdae+BPBtr1+m6/qYjC4ZnxoRlxBCCCGEEEKEiyRoQsczSTPWZ91DqCRNwx4sLUQAKpIzGppvcqbEhGlkWpe0pYYEJoQQQgghhBBhJEOcQsuFStL4m8ZuGpAZ1miEiDAzN81siZNv/CRnitEZkdZZkjNCCCGEEEKIxkESNKGnA+OA5/ysS0OSNKKRmrlpZkvNrH0F9PZZVezSXSMyumQsMyIuIYQQQgghhDCCJGjCQwfGA/P9rEsDZoc3HCGMNXfz3FblyZnjfFYV42L45C6TvzIiLiGEEEIIIYQwiiRowkcHbgfm+Vl3PzAnvOEIYYy5m+e2cpgc1SZnMrpmLDciLiGEEEIIIYQwkiRowksH7gCe9bPuPmBueMMRIrw8kjO9fFYVuUyuCyU5I4QQQgghhGisJEETfjowAXjGz7p7gUfDG44Q4TFjy4zWDrNjOX6SM2hcOLnj5K+NiEsIIYQQQgghIoFMs20MHZiIO1nj6R7UFNz3hDsoIUJlxpYZrU26aTlwjM+qIjQuzOiU8Y0BYQkhhBAB0XX49ddYFi+2snOnmUOHTKSmumjXzsn555fRr58NTTM6SiGEENFOEjTG0YE7cSdrPN2NStLcHe6ghAi2OVvntHG6nF+hVU3O6Jp+waROk1YYEpgQQggRgPXrLUyYkMKGDRa/6+fPT6JnTzvPPJPHMcfYwxydEEKIhkQSNMaqSNKUAOk+6+7CnaTRwxyXEEExZ+ucNk7duRyNnj6r8kya6fy0Tmk/GhKYENFtNDDJZ1km8J4BsYhGavt282G9rnVrF3Fx0XNas2RJHDff3BS7vebymA0bLAwb1pz//OcQQ4aUhSk60QDFoI7l7TyW5QNnGxOOsXSdqKxMi9a4hZuRv0NJ0ESGDFQSJsNn+Z1APHAbkqQRUWb2ptntnLrza6CrzypJzghx+JoD84HWPstbGRCLaKRcLhgw4PDecu+9d5BTT7UFOaLQ+OsvC+PHu5MzMTFw1VXFjBxZQps2TrKzzXz8cTxvvJGAwwE2m8b48al8/PEBevZ0GBy9iFL3AyN9lh0yIpDqFBZqrFtnYe1aC/v3u9uZHnOMg1GjSuq179xcEx98EM+iRXFs2xbD/v0m4uN12rVzcvrpZVx6aQm9ekVWldqOHWYWLEjghx9i2bgxhpwc9TOpiLtvXzsjRpRw5pllmKKo++vFFzenqKjuGYoHHshn4MDoOMZXcDph2bI4Pvggnt9/t5CdrX5RrVq5OP54O6NHl3DuuaXEhClzIgmayDEJlYTxvSv6f6hKmluRJI2IEtM3T2/vMrmW4yc5o2v6eWmd0n4yIi4hGoBnqJqcEUKEwKRJyZUXKBYLvPRSDoMHu6tjOnZ0cvLJNgYPLuX665tht6uL1ylTUnj//YNGhS2iV3fgAaOD8LVrl5nPP49j7VqVlMnKisHlqrrdiBEl9UrQLF0ax733pnglfQCKizU2boxh48YYXnopkRtvLGLy5AKsVmMvi8rKNGbNasJLLyXidFZdX1KisWlTDJs2xbBwYTzHHWfnySdzoyZ5u369hfz8uido8vOjKAsF7NxpZuLEpvzwQ2yVdbt2mSvf/3372nn22Vw6dQr97y+6foIN32Rghp/ltwAvIL8vEQWmb57e3mQ2Vamc0dByTZjOndRpkiRnhDg8I4Aryh9vNzIQITwlJuqkpLgC+heuO5D19dVXVn7+2X3CfttthV7JGU9nn13G+PGFlc9/+CGWb76xhjxG0aCYgVeAONQN2R3GhuP2zTdWHnwwmfffj2fTJv/JmfpatCiOsWNTvZIzFouqQElOdn9BXYf//jeRW25pGpI4AmWzaVx/fSovvuidnDGboV07Jx06OElK8k4g/fmnhVGjWvDHH/57WYnw27PHzPDhzaskZ1q3dtG6tdNriNPvv1u46KLm7Nx5eMN76yJKPiYblSmoA/MUn+U3l/9/K2DgIUmI6mVmZR7lMrmWa7rWxXO5hparoZ2X1jntZ6NiEyLKpQDzyh8XA/cBC40LRwi3p57KZdiwUqPDCKoFCxIqH8fF6dx2W1GN2996ayEvvphIcbE6o3/nnXjOPFN60YiA3QkMKH/8H6AFcJRx4dSuQwcnu3aZcdSzoGDDhhjuvLMpenk+Iz5eZ8qUfK64oqSyX9Xq1bFMnZrMmjUqubF0aRxz5zYhLa2gfl/8MM2fn+iVhG3WzMWkSQWMGFFSmZhxueC332LJzGzC99+rBEB+vsa4cU35+usDxMZGz8CIW28t4qyzAjue9ewZWUPQquNwwPXXp5Kd7U64XHZZMffeW0jbtirrlp1t5oknknjtNfV5sH+/ieuua8bixQewWEL3+5METWR6AJWk8S1zvBk13On/kCSNiDCZWZlH6Zr+taZrnT2Xa2i5uq6fm94l/RejYhOiAXgSd9PIKcAWA2MJyIYNMXzwQTwAGRkFIRt7b7drfPONlbVrLZSW5wh69XIwcmT9eiEE4owzWrJvn4m0tALGji0OydfIzTUxb14iK1ZYyc42Yysf2v/99/tJTZVTgVCw2TSvi6/zzislJaXmn3Vyss5555Xy4YfqPf/113HYbFpUXYQJw3QCHip/vBc1cch/jQunqg4dnPTubff6l5LiokeP1vUe0jJjRjKlpe4+T2++mcMpp3j3MOnf38Z77x1kzJjmlUma555L5OqriysvpsPFbofnn0+sfJ6UpPPRRwfp2tU7U2UyqbgXLDjI2LHN+OordUzZujWGzz+P46KLQv8ZFSzdujk47bSGlXBeuDCBtWvd1Uz/939FPPhgvtc2rVs7yczMo3lzF088kQSoc5s33ojn+utD85kPkqCJZFNRSZqpPstvQiVpbkGSNCJCTN8yvQPwNeokw9MhTdfOTe+Svhr0s4FzD2P3eaDNqneQQkSvc4Dryh//AjwN9DEunMBkZcUwb546oUlPD81dzn//NXPFFc3YssX7dGb06JKwJGjy8zXy8kyUlYVmqoeCAo3hw5uTlVX1dE2X6/6QWbPGQmGh+3fqe7FYnQEDbJUJmoICjTVrLJx0UnQ1yxRhZ0INbaq44h9PhDUFvvLKYq66KjQXo7/9ZmH5cncy9Prri6r9e0tI0Hn88VwGD26Jy6USqc88k0RmZl5IYqvOH3/EeiWlrr66uEpyxpPZDA8/nM9XX7WsXLZihTWqEjQNjctFZcIFoFMnBxkZ1Z+n3HVXAYsXx7Fhg/osfvrpJlx9dTGWEI1WkwRNZHsQlaR50Gf5jagkzc1IkkYYbPqW6R1iiPlaR6+SnDHppnPTuqStLn9+KpB2GF/iX0ASNKKxSgZeRh3zHagKyvDeLoxgaWkpbNkSQ2qqi2uuKaZdO/Wj6dgxOpow1mbBggSysmKIjdV58cVcTj21rEpfAxF8mzZ5nx736RNYyb7vdps2xUiCRtRmHHBG+eNPgQ8MjMWvUE41/PHH8ZWPTSa46aaahxL26OHg9NPLKivcPvkkjunT88La22r3bu+KoQEDav8b79TJwRFHONmzRw2n2bVL2ooaafXqWHbtcg9tuv764hqrHWNi4IYbirjvvhQAsrNN/PSTlUGDQlNVJAmayDcNKAEyfZbfgDphvwlJ0giDzNo6qyM6X+voHX1W7XfhGpzRJWOtEXEJ0YDMwd2HYDbwu4Gx1Env3nbmzFF3NkMxvKmwUOO779RJ+oMP5nPppeG/G/n77/tCuv+fflJ9C844o4xzz21YPV4imW+CJtAhFBUJwur2I4SPDsDM8sf5qD6TjcqSJXGVj/v2tdG+fe1/ayNHllYmaA4dMvHLL7EBJUlCJT4+sKR5YqJ7u1AmvUTtvvwyzuv58OG1f74OH15KWlpKZXPqL76QBE1jN7v8f98kzfWobu/XIHdURZhVJGeAjj6r9mu6ds7kLpP/rOHluaiZyQIR3tpVISLHmajhrAAbgenGhVJ3Rx3l5OqrQzdGe88ec+XsGdEybWld5eaqzFarVnIfJpyys90ZxdhYnebNA/v5N23qIj5ep6REq7IfIXxoqPOgJuXP7wN2GRdO+O3fb2L7dncVw8knB1ap5luV9uuv4U3QdO3qfcm1Y0fts/rYbJpXxUZNQ6JE6K1e7R6b1KGDk9ata7+MTk520b27nQ0b1Gt//bXqtNzBIgma6DEbNdxpts/yK1AH+WtQ5e9ChNycrDndnC7n12i09Vm1T9O1weld0mtKzgDkgJYeqviEaAASUDN5aKhj/21Agy6h0HVYv97Czp1mzGad3r0dNZ402WzuW5BGNWJ9//14Sko0+vWzVUkSLV2qmvp27erglFNsHDxo4t134/nzTwsFBSbatnVywQUlDBpU9cLijTfUjBEVpfRZWTGVywD69bNH1EwZ77yTwPPPJ7J5cwy5uSaSknRatHDSp4+d00+3cdFF7tlYokFxsTuxkpCg1+lud2KiO0FTMaOTEH7cCJxX/vhb1PG+Udm82fsytEePwI5pnTo5vBKhGzeG93K2Z087nTs7KnufLVgQzxVXFNd4nPjww7jKeCGwio1IkpVl5sUXE/n77xjy803Ex+s0a+bi+OPtDBxoCyjBEUk833t1+Sw99lhHZYImKysGXQ9NNZQkaKLLHNSJ+hyf5ZejTuKvRpI0IsRmZs082olzub/kjMvlOmdy18nrDAlMiIZlJtC1/PGLwHIDYzksn34axy23pALw7797MHvcZNywIYZzzlENE7/6aj+5uSbuuy/Fq9mvpsGIESU8+mieV2n4yy8nMmVKstfXOuusll7Pt2/fG9IpMCtMn96E7GwzDz6YXyVB8+KLSaxaFcuVVxZjt2vcdltTcnK8KypefTWBq64qZs6cPK+TvLS0FK8mwD/+GMuPP7rv1j3wQH5EJWiWLbN6PS8s1CgsjGHbthg++iiemTObkJFRwBVXhK6iKpg8Eyt1TSx5bl9UJBU0wq8jcZ/Ll6GGNkVPBjNIfBM0dZmNqW1bZ+Xr/TVRDyVNg2nT8rnuumboOvzySywPPJDMgw/m+20au3KllQceSKl8fuGFpQE3Ho8U8+cnVbvObIZhw0q5994CunWL/MvQnBwThw65j811fd9VKCrS2LPHzJFHBj85JQma6DMXdRCf67P8MlSS5iokSSNCZGbWzKM1TfsadXLhSZIzQgTPAOD28sd7gAwDYwm5b7+1MmNGMhaLzoABNqxWnfXrLezfb+Ljj+MpLDTx+us5ldu3aOGid287JSVaZY+Po492+FxIR861zsaNMdxwQyqtWzsZN66Q9u2d7N5t5sMP41m71sKbbybQv7+Nyy5z99CZPVuN7HzuuUS2bo3hlFNsjB7tXt+vX+QkZwJx4ICJe+5J4ddfLcydmxfx/RecHufbde2f5JmIdMjZmPBvPpBa/vhhYIOBsRimYghnhdatAx/K2bq1i82b1WPPi+1wGTy4jEcfzSMjIxmbTePllxNZtiyOCy8soVs3B1Yr7Nlj4ttvrXz7rbUy4X7OOWU89VRu2OMNJadTNWtetszKnDl5XHxxZM9O5fu+q8sQYt9tDx0ySYImeuka0BPoBbQGWgItUM1/c4C1wA+gHQhwh4+izj4f9Vl+afn/kqQRQTd7y+zuLlzLqZqcydac2jmTu01eb0RcQjQwVuC/QMVlXsRNuRpsM2Ykc+65pTz6aB5Nm6qTH4cDpk5N4X//S+Crr6z89FMsJ5+s7jiOGFHCiBElrF9vYciQFgC88MIhunePzI+91atjOeOMMv73v0NYre7E0dixxQwZ0oLNm2N4+eVErwRNRe+eDz6IZ+tW6NbNEdJ+PoerXz8bgweXccIJdrp0cZCYqON0wt69Zn76SSWf/vrLfUv5rbcSaNPGxb33hmba9WBJSHD/nuo6hXppqXt7mXFL+HENMLL88Z9UveHaaBQVef9t1aVazbtSzZiM7xVXFNO/v43585P44gsrO3aY/VaamEzqWDl2bDGjRpVEfILak6bBMcfY6d/fTrduDpo0ceF0amRnm1i9OpYVK6yVieiSEo2JE5sSH68zbFjkDuGqz/vOtyF0qN57kqAJKf0G4BLgFKBpLRvbQf8EmApaIBe6j6GSNI/5LL8UVUlzJZKkEUFSU3JGN+tnZ3TO+MuIuIRogB4Gjil//D7woYGxhEXXrg6eey7Xa0hSTAxMmpTPBx/EkZ9vYulSa2WCJtrExuo8+WSuV3IGwGrVufHGIjIyUli/3kJRkeY1lCuSaRqsWLG/2nL2Zs1cHHOMneuuK2bevCQyM5tU3kF++ukkRo8uoXPnyD1F8fw9ePaNCITn9tHy+xRh0xL3ebsL+D8gusrhgsi3R5PvMbImnhfKRiVoQA2Xyc/XsNurj8HlUt/rgQMmSku1gGd9MtqECQVcdFFpjRUiu3aZue++lMpZtVwuuPPOppx00j5atIjM5vbBet9B6N57Mjg2tC4Dzqf25AyABRgN/A76+AD3/zhwt5/llwBvl+9TiHqZuXVmDxcuf8Oa9upm/exJHSYdZnJGt4J+CuijQb8c9HNB71bfeIWIYn2Bu8of5wMTDYwlbK67rshvv5ikJL1yKE+4ewwEU8+ejmpL9yuqflwu2Lev9plAIoWmEVCvAZMJ7rijkDvvLKxc5nCooVuRrKKSC9TJfGFhYCfhJapWQh4AACAASURBVCUaBQXubT33IwTwHCpJA/Ak8IOBsRjO7HPI0+uQt/Achui7n3BwOiE9PYVRo5rzxReqAXBcnM6ZZ5Zxww1F3HprEaNHl1T2LPnrLwvTpiUzZEiLyqG5kW7cuKJah++0bevk9ddzGDrUXTFTWKjV2LPGaL7DVg/3fQehe+9FxzukYcgFfkVNlZqDGt7UDDgWNZVqRYc9C/As6AWgvRbAfp9AVdI8jqqcqTCm/PkVNOLsvKifmVtn9tB0bTlwhM+qvSaT6ey0DmmHO266PWrYRnzVVfpe4D3gCdC2HOb+hYg2scCruBPrjWbK1V69qv+IatNGnQ0VFETv/aSOHatPZHjeYWzIM/5MmFDIW28lVE47/dVX1pDNfhEMXbp4/8527TIHNIRu1y6z18m+TKUrPFwKXFz+eDvwoIGxRATPoYTgPTywNp7bJiSEPxGakZHiNbPepZeWMHVqPs2aecficsHHH8eTkZFCfr7Gli0xXHJJc778cn+deu5EMrMZHn00j1WrYsnPV8f4Tz+NY+rUfIMj88+3svFw33f+9hUskqAJrdXAd8BS9VirJg2pN0clWK71WPgk6B+BFsi7+0lUwuc5vJM0FwPvoGZ5kiSNqJPZ22b3dLlcy4E2Pqt24uKstM5pm+uxewvVV3i1QTVIvRX0GcDDoDWMTzEhqncecFz5472opP4lNWzf2ed5X5/tvwH2Byu4UPI9SfcUF6f+971rFU1qOoHzvJNXl7t40cZq1Rk8uJQ331QXNHv3mtm3zxSxFyi+1UF//20JKEHz11/ep9XRMKOJCBvPivfPgaG1bN/O43Es3sf3A8DXQYrLML7HxrokqT2HloR7KOGqVbFeyZlLLinhySf9N/41mWDUqBKOPNLJmDHNcTph3z4TDz2UzPz5DadZcGqqi6FDS1mwQP1cdu40s3OnmXbtIu/D2zehd7jvO3/7ChZJ0ISUNjnA7Q4C14Eej/sAnAqMAN4I8Iu9gKqkeR7vJM1oVA+Di1FT+QlRq8wtmce7XK5lqGbWnv7FxdkZXTPqk5wBcAJbgZ2oXkkJqEbaqR7bxKDuMKXSSIZ6iEbN8/O4DbCgjq+/qfxfhTOBFfWMSYig8e05k5NjjtgEzfHH2zGb3YnBn3+2MHJk7TOT/PKLeyr0mBi1HyHKeR7jbyv/F6hEYKHH85XAacEIykgtW3pfvO/ZY+boowNLau7d6x5bEu7jyOuvu4doWiw6DzxQ+730k0+2ceGFJXz8sSoc//TTeKZPr1pxE81697azwOPMJTvbFJEJmpYtXWia+6bInj2Bj1Py3TZU773orRlumGb7PO9bx9e/iGo45vtuuQD4APcwKiGqlbkl83gd3W9yxuw0n1WP5Ewp8BZq9oKmoHUD7SzQhoA2sPzrnQZ86fO6CaBff5hfUwghRASI8bklGMlTUDdr5uLEE91NqT//PL7WeJ1OWLw4rvL5ySfbSE1tOBdfQgSbb4XZv/8GdqHscHhfKIe7Uu2nn9wF4H362ANuhjtkiPs+ucMBv/3WsFqFpqR4VzIVFkZmmiExUffqrbNzZ+AJGs/3aPPmrpAl2KSCJrL4NltN9btVzf5T/v/zeCfghqEqaUajLpSFqGLG1hl9dF1fStXkzA6z03z2/d3uzzr8vWu+08L7rncBK0Efiqqc8RyfPQP0haAVHf7XFyKi7QOW1WH7ZOAkj+d/oyrSKjToqblF9Nm1y/skuHnzyE5eDB9ewo8/qoqY7GwTn34az0UXVV9F89ln8V7f4/DhtVfciEblZ+p2XO4NtCp/bMe7InJdsIIyUteuDq9KhrVrA0tYrF9vwe5RnBbuBM3Bg+6/8zZtAj+OVfRUq3DgQPQ0hg/EwYPeCZlIbpLerZuj8ni9dq0l4J5of/zhfo+G8n0nCZrI4tvyet9h7uc/qOFOL+CdpBmKqqSRJI2oYsbWGX1MumkZ0Nxn1Q7MnHV/5/vD1LBX04FpoPcGRpUvPAJVefNWeGIQIuxWAUPqsH0/VJ+zCs8A84MakRBBouuwfLm7iDc5WadVq8grffd05ZUlPPtsUuWd+gcfTOaUU2xVLrIAsrPNTJ2aXPm8bVsnl18uCRrhZVwdt38fdb4OUEjdPh+iQlKSTp8+dn7/XV30ViREa/PDD97bDRoU3g4OCQk6+fnqar6kJPD+Jb69TmrqvxaNPId4AhxxROQe4wcOtFVODZ6TY2Ljxpha+4z9+6/Zq9pm4MDQve8is/ao8fJtGPZNPfb1X+AWqg53GoqqpImr8grRaM3aNqtvNcmZ7Q6T48yMDhlGzKb0sM/zBndyIoQQjcF778WzebP7nuCgQWVVhjxFGqtVZ/Lkgsrn+/ebuPDC5ixZEoer/MzK5YKlS+O48MLm7NvnPqWePLmA2NiGdfElRCicd577fvHmzTGsWVN7Fc3777snAO3Y0RFQA+9g8kwu//mnJeAG73/84Z3AaN06chMYdbV9u5kvv3Qn4Y8+2kGrVpFbQTNsmHedwnvv+ZlU1se773pvM2yYJGgaAf1oINNjwe/Aknru9CXgZqomac4HPkKSNAKYsW3GCbpLry45c9YDHR/YakRcwB94z0LTzaA4hBBClDt0yMR33wXe0u7bb62kp6d4Lbv++ugYrTp6dAm33eaOdfduM2PHptK9exsGDmxJ9+5tuO66VK+hTePHF9Y4FEoI4TZqVAkWj5zME080qXH7JUviWL/e/QIjKtUGDHD3p8rONvHJJ7Vf3BcVabzxhnu7+HhVPRSJ7HYoLAy8MqiwUOPWW1Ox292vGTUqso+BnTo56NfP/fN/880EryS7r9xcE6++6m4O3auXnZ49Q/f7kwRNWOkpoKd6/GsD+pmgPwb8hhrGAbALuCxIUwu/jJrZw3df5wEfA7UfVUSDNWPbjBM0l7ZUQ2vms2obGmcamJyhfKjTLo8FLY2KRAgh/GnXzkWHDs4qzRFB3WXt0MFZYxPBmBidDh3Udv4qLlq3rn0f4ZaXZ+Kyy5pxzjktePrpJP74w0JpqffJfEUDzLvuasqVVzbzGgZw4YWlDBxo891txJo8OZ+pU/O9fj9FRRpbt8Z4TblqtepMm5bPpEkF/nYjhPCjfXsnV15ZXPl86VIrzz2X6HfbzZtjSEtzJ3tbtHBx443hT/aOGeOdfLj//uQaG/4WFWncdlsq2dnuRO6IESVYrZFZZVdYaKJ//1bMmNGEdeuq/750Hb75xsp557Xw6s3SurWTm2+O/CR8Wpr7WJ2ba+KOO5r6nXK7rExj4sSm7N9v8vvaUIjwAtMG5zegcw3rHcA7wL2gZQfx676C6jnzOuDZkepcVCXNRUBkpzpF0M3aPKuf7tKXVJOcOSujU8Y2I+Ly4VnlJdPECxFFTjvNxuLFBwAw+dwO6tTJWbmuU6fqy7zHjSvkssuKSUyseiLbubOjch8dOhhTKv7JJweqXTdvXm6trz/qKCc//FB9u7nnnqt9H0bZsMHChg0WMjObYDarpr9Nmriw2zWys02UlVU90T3hBDtPPhm535M/JhPcemsR559fyrvvJrB4cRz//mumsFAjKUmnfXsn559fyiWXFNOxY8MZsiCEp+uu804wVCgqch/cV6ywcv75vnNMwAUXlHLHHYXV7vueewr46itrZX+PRx5J5rffYrnmmmI6dnSQl2di+XIrzz+fSF6e+nqaBo88ku/3syHUTjzRxogRJSxapO5x5+ebGDWqBWPGFDN0aCldujixWnWys0388IOVV15J8Kqya9rUxX33Vf/ziAT5+SbmzUti3rwkWrVy0bOnnfbtnaSkuHA41DH+l19iqzR/j4/XeemlQ1HRX2fQoDIuvrikcsjcd99ZueCCFtx2WyF9+9oxmVRT4PnzE/nrL3cCavjwUs45J7SXJJKgiRxlwFzgadD217bxYXgb1Tj4dbx/7+cCX6Cm4o78dKcIilmbZ/XDxFINzXemsE1Oi/OsKe2n7PL7wrDS44EOHgtC8XchhAiRlBQXvXv7r/yIi9Pp3bv28uC2bZ20bev/ojc+PrB9iNBzOmHfPlO1JeJmM9xwQxGTJhVE7F3j2nTs6OS++wq47z5159Ru17BYovN7EaKu/vnHwo4dNc86lJdnYu3aqseA2obytGjh4rXXchg9ujm5uer1n30Wx2efVd+J4f77Cxg50rh7y088kceBA2a+/171lbHb4e23E3j77YQaX5ec7OLVVw95TfMc6dSxvfZhrR06OHnmmVxOOCF6PpcfeyyP3bvNlY2n//knhjvvbFrt9ieeaOOpp0J/k0GGOEUOKzAF2AZ6Ouih+N28A1yNqtTxdAbwOVVnkRINUObmzFMxsZyq07hvjJzkDADD8R6Ct7q6DYVohNYAzTz+vWRsOKKxaN/ewccfH2TSpAIGDy4jNdV/Ei4mBo47zs7ttxfy/ff7eOih/KhNzvgjyRkRYtfhPr7XVH3fIPTo4eCrrw5w+uk1Vya0bOnilVcOMXGisRUo8fE6CxYcZMqUfFq0qH0IakyMqrz4+usDnHhiZA/xTEjQueOOQk480RZQs/OOHZ1MnZrPsmX76d8/sr83X7GxOu+8c5CJEwu9eiH5iolRFb3vvZdDXFzoj/1SQRNWWhfv53oS0AsYAdwGNAUSgFlAR+DWEASxAFVJ8ybev//TUUmaYajp/EQDlLk581TdpH8BJPus2miKMZ2V0T5jtxFxVaU3Q/0dePrciEiEiFBO4JDRQYjGx2xWdxE9LzJsNo2DB03k5JjQdVU91aqVq0ElZIQIs4g6F3/mmdwqvaYCFeh0y0cc4eSdd3L4++8YFi2KZ+tWM/v2mUlKcnHkkS7OPLOMs88ui5jkqNkM48YVcdNNxaxYEctvv8WyZUsMubkaNptGcrKL1q1d9O1r54wzyqKmasZq1cnIUJWCZWUa69ZZ2L3bxIEDFcd4jZSUiu/NRvv20fF9VcdiUT1lbr65iEWL4lizJpbsbPVZ1qaNi+OPtzN8eElAibhgkQSNobRC4Ef1T38W+BToW77y/0D/GrQFIfjCC8v/903SnIYkaRqsmZtnDixPzvi2yP/HFGM6O+2otBAmZ/TxwDbg8/LmvzVt2wmVSPS8Y7QStBWhik4IIcThi43VOeIIZ8AXYkKI6BLOqo8ePRz06BE9zbZjY3WGDCljyJCG1yrRatXp189Gv35GRxJ6zZq5GDu2GCiuddtQkyFOEUPbjRrS4XlEygjhF1wIXEnV4U6noXrS1DzPnYgqmVmZgzSTZlByBoATUQnIHSoZqV8Feh/Q25fPaNYF9OGgvwisL9++QgFwe4jjE0IIIYQQQghDSQVNRNF2gb4QuLF8wfGgH1mevAmFd1HDnd4CPEfeDUIlaYbinTASUSgzK3OQrumfUzU587fL5Do746iMPWEMpx0wvvxfIPKBS0D7I3QhCSGEEEIIIYTxpIIm8qzxed4pxF/vPeAKwLfl9kCkkibqzdwy8zRd8zus6W+XyXX25I6Tw5WcqWu9oI56//UBbUkI4hFCCCGEEEKIiCIJmsgTvg5Ebu8Dl+M/SbOYqg1lRRTI3JJ5uobmb3auDWbNfFYYkzOANg6VbLwW+A+wCvgHd5PTAmAHKinzINATtGGgbQ1fjEIIIYQQQghhHBniFHm6+zzfG6av+wEwCpWs8Zzs/lRUkuZ81HATEQUyt2SerqN/RtXkzB8Wu2Xwvd3vPRD+qLRtqEbBr4f/awshhBBCCCFEZJMKmoiiJwFjPBbsQ13QhstnwGjAtw35AGA5kBrGWMRhmr1l9hAdfTERlZwRQgghhBBCCFETSdCEjN4TdGvt21VuH4Ma+nGkx8IPQAv3nJWfoyppSn2W9wOWAs3CHE+jNX3z9PYzt8x85IXVL1hq31qZtWXWuS5cHwPxnss1tDWSnBFCCCGEEEKIyCUJmtC5HsgC/eHy6YSr+VnrFjW9MD+h+sBUyAceDnmU/n2BqqSRJI2BzCbzDA1tSk7znHMC2T5za+Z5gN/kjCvWJckZIYQQQgghhIhg0oMmtNoCD5T/KwJ9HXAANaNNLHAEcAxVh6KUAVeAFs7pj319gaqk+RCI81h+ArAMGAIcNCCuRmH65untUbNrgc4gVB+gas3aOut8Xdd9f1cAv7tiXUMmtZskvyshhBBCCCGEiGCSoAmfRODkALbbBNwE2rchjicQi4GLgI/wvvDvi6qkkSRNiJhN5ntRf586cFpN287aOut89CqJNDRd+y02NnbI3e3uzgldpEIIIYQQQgghgkGGOIXOk8DtqJ4uubVs6wBWAjcBvSMkOVPhS2AkUOKzvC+qkqZ52CNq4B7959EW6NysoemAhs5ps7bP6uxv28xtmUNrTM60l+SMEEIIIYQQQkQDqaAJGW03ME/9001AZ6AralhTHGAH8oDtwJ+g+SZAIskS3JU0nv1N+uAe7iT9TYLEFmO7Q9O0eB1dLdDQNIf2f0Ca53Yzs2YO0136B3hPiw4av8ZaYs+V5IwQQgghhBBCRA+poAkLzQXaZtAWg/YKaM+B9l/Q3gXt5whPzlRYAgwFinyWVyRpWoQ9ogZo7t65iZqm3QEV2RkAdF3Tb52xZUbrigWZWZkXaJrmNzmDCamcEUIIIYQQQogoIxU0oi5WAMOAz/BubHw88C1wNrDXgLgaDHuJ/WYNLdVnsaajJ5swzQGuy8zKvEDX9Pepmpz5vsxRNnRat2n54YpXCNHwffjhh6xbt87oMILO4XBUPp42bRrJyckGRhMau3btAmD//v3ccsstBkcTGr/99hsAS5cuZc8eI+dWCL0NGzYYHYJoYHRdb7DHhoq/lzVr1jTY77HimPe///2P5cuXGxxN8BUVuesC7rrrLqxWaw1bR7dDhw5VPtYMjENEr9NQvXV8Z5/agCRpDtsLq1+w5DTL2QIcif/qNh2dTDTuBSxeayQ5I4QIvuXAWUYHIYSoYgoww+ggRFQ7FVhldBBCiKqkgkYcju9QlTS+SZqewNeoJE3Dvo0VAoeaHboCaFfjRhoZfpauMpWZhk7rMa0gJIEJIRqrBcBvRgcRQmZgkM+yjTSsz69WqM9mTz8ANgNiCZWeqO+zQgEN+30L8KPRAYiotwt4zOggQqwTcJTHcxvq+NeQnAgkeDzfg/ocayjigZN8lq2jgc8iLBU0oj4GoZI0TXyW/40kaepE13Utc1vmOnR6ULfeUCtNNtOwtB5pkpwRQgghhBBCiChmNjoAEdV2oHrPXIJ3P5QWwIXAB6g7WaIW1uusIzS0CdQlaarxp8lmOkeSM0IIIYQQQggR/WQWJ1Ffq1CzO/kmCbqj+hccGfaIopCmaWlouOqwvY5OT6fVOWna7mkJtb9CCCGEEEIIIUQkkyFOIlhOBb4AfKfB2Iga7rQr7BFFiZlbZp6moX1b19dpaLqOrgHbNbSpCc6EBRO6TSgLQYhCCCGEEEIIIUJMEjQimAYAi6mapNmEmglEkjR+zNoy6xMN7YLyZMvhcKGq4Q5ouvayrutfWq3WH+5uf3dJEMMUQgghhBBCCBFCkqARwdYPWAqk+izfhKqk2Rn2iCJYZlbmcbqm/0Fw/hZ1j/3YdPT/TOo86fYg7FcIIYQQQgghRIhJDxoRbL8CQ4Acn+XdUNNzdwx3QJFM1/T7tODlSTUdvfwRZjRp0CyEEEIIIYQQ0UIqaESonICqpGnms3w7arjT1rBHFGGmb57e3mwybwFigrA7VT2jUYzOG2bd/Oj9Xe7fFIT9CiGEEEIIIYQIg2BcGArhz2/AYFSSprnH8g7A14QnSWMq/3pHAylAUyCpfF0hcAjIRTUy3gEV5SfhYTKZ7qO+f4MaLnRMwEF05lkt1qfvbn+3b/WSEEIIIYQQQogIJxU0ItT6UjVJAyohchawJYhfqxlwevl+Twd6AHEBvrYE+Av4FjU9+LdAfhBj8zJz58zmWpn2r6ZpcYfZHNgFmHT0rSbN9FRsTOyL0hRYCCGEEEIIIaKXVNCIUPsdVUmzDO8kzVG4K2nqk6SJA0YC1wDncfjv6XhUg+N+wF2ADfgceLX8f1s9YqyqjAloxOt1Ldopr5jRNX2NSTc91aVTlzcv1S51BjU2IYQQQgghhBBhJxU0Ilz6oCppWvgs34Ga3SmrjvtrDkwAbqdqn5tg2wc8CcwjCFU1c/fOTbSX2HeYdFNqoNUzOjoamg58prv0zEldJ62qbxxCCCGEEEIIISKHJGhEOB2PqqTxTdL8i6qkCSRJkwhMBu7A3U8mECVAEe4ES0r5vgIdAgWqX81jwKNAaR1e52VW1qy70Hg8gE11QNPQ7Dr6OyaTaVZax7QNh/t1hRBCCCGEEEJELknQiHDrierx0sZn+b+oSprNNbx2FKqS5ahavsY21PCpVcAG4B/gYDXbtkT1qukBnIZKFLWrZf+bUZU7X9ayXRUvrH7BktMsZ4uG1raG6hkXYEKnEI2XnRbnnCntp+yq69cSQgghhBBCCBE9JEEjjHAc8BUqOeJpParKxrenShPgBeCKGva5HXgdeAOVkKmPXqieNlcBbWvY7j/ARFR1TkBmbZ01Fp1XqlmtEjOwA435mkt7Pr1Lel6g+xZCCCGEEEIIEb0kQSOM0gNVSXNE+fMiYBhq9iRPfYD/b+/ugq0q6ziOf/eBeBGQVzMlRgQM0AHfqgm0CNFsRrBJy8lyFL3AmnLQZnAsuIAciDGcybpJbCbTEWRqIjKbwhQbHQx8SSgMTETHBBwIIkBADmd38Wxqn2etA+fstfZe5xy+n5l9sZ5z9m/9FwMX/OdZ/2cF4ajsNC8C3wdWERoceeoBfBn4DjCxjd/ZCNxAO5pC5XK5tPitxX+jzDhCIwaAEqVyZTfNxhKl+w+/fXjZ/Knzm7OXL0mSJEnqKmzQqEjHmzSnA9cAf4p+fjXwS9JnzbwJ3Ak8Uc8CK0qERs39pL/+tBe4Fnj+RCGL3lx0bYnSqv8tlIES5TLl1eVy+QdzR899Or+SJUmSJEldiQ0aFe18YDBhXky1G4GHgV7R+jFgMbCQDrxalJP+wL2E15rifzuHgK8Av2nry4u2LVpbKpcmVS6bgeUttCyZO2ruxnoUK0mSJEnqOmzQqDP6IvALwitG1d4jzIZ5quEVtTaNMOsmHnR8jLDTZmX8hYVvLTyrqaVpOyUOlsqlB5tbmn84b8y8dxpQqyRJkiRJUoddBRwhvABU/VkPfLjAumIjgL+SrPMgMCntC4u3Lr58/rb5gxpWoSRJkiRJUg3GA/tJNj1Wkz6HpmiDCXNn4np3A+cUWJckSZIkSVJN+gCvkmx2PFP5WWd1GulNmvUk5+dIkiRJkiR1aj8l2eR4CRhQZFHtNBTYRLL+JUUWJUmSJEnqOhwSrM7gM8CztP77uAu4GHg3Q+4owmtT5wBnAH0r6/sIryFtqHyOZLjHcaOBl4GBVWstwGRgXQ75kiRJkiRJddMLeI3WO09agBkdzCkBU4B7gFWEE5/iHS1pn0PA8sp3s/pSSv5LJE+jkiRJkiRJ6lS+TbKp8eMacnqn5HT0swwYVvujAPBISu5tGTMlSZIkSZLqpg/hFabqZsZOoJajqPNo0JSBvwPDa30g4Exgb5S5FeiZIVOSJEmSJKluvkmyQXJLjVlxg2YHsBJYWMmcAVwJfB64FXgAeDvl/mXCzJgsryXdmZJ5U4Y8SZIkSZKkuigBb5DfTpNewB+B2cB57fxOE/ANwhyauKEyq8Y6IAwj3hHlvZIhT5IkSZIkqS4uJ9kUub2gWqan1LI2Y+aclMwJGTMlSZIkSZJytZTWzYsDQP8C63kyqqcF6JchbwhwOMq8L2ONkiRJkiRJuWkCdtO6efGzQitKn4czJmPmr6K8bRnzJEmSJEndVFPRBeiUdCEwNFpbXkQhVXamrPXJmBk/00hgdMZMSZIkSVI3ZINGRZgWXR8BniuikCpDousysD1j5tOEV6WqTc2YKUmSJEnqhmzQqAiTousXCCcpFenK6HoTsCdj5h7g1WjtsoyZkiRJkqRuyAaNijAuuv5zIVX832XA9dHaT3LKjp8tfnZJkiRJkqSG60HydKOZBdZzA7A3qmcd0DOn/NlRdtZdOZIkSZKkbiiv/4RK7fVRoHe09nqd7jUYuDRaO40woHgCMB04L/r5i8A1QHNONWxJqWkINmokSZIkSVKBLiR5nPWoOt1rasq92vrsBr4L9Mq5hotS7nVuzveQJEmSJHVx7qBRow1IWdvf8CpaWwPcBWyoQ3bas6X9GUiSJEmSTmEOCVaj9U9ZO9jwKlqbSjht6ffABTln26CRJEmSJJ2UO2jUaEdT1ur193ArcE+01gc4A7gE+ER076uBKcCtwOM51ZD2ytQHOWVLkiRJkiTV5JMkZ7IML6iWs4ElhKZRdT1Hgatyusd4ks/rUduSJEmSJKlQaQ2L8wutCK4kvGZVXdM/gb45ZH+KztOQkiRJkiRJAsIx03HDYnqhFQVfJ1nXrBxyv0pyd07eJ0VJkiRJkro4hwSr0fYCu6K1jxVRSGQpsDNam5FD7tjo+i2cQSNJkiRJitigURE2R9cTCqmitRbgmWjtohxy41OhtuSQKUmSJEnqZmzQqAgbo+sphVSRtD26HpIxr4nks8XPLkmSJEmSDRoV4tno+lxgZOPLSOgXXe/PmDcRGBatxbt0JEmSJEmyQaNCrCG8UlTtC0UUEhkfXb+XMS+eYXMEWJsxU5IkSZIkKTfraH260UvFlsNwwglL1TX9PGPm61He6ox5kiRJkiRJubqD5LHWRQ0LbgJWptRzXYbMySl5N2crU5IkSZIkKV9DCa/85LFjpQ+wgjDzpaMGAI+SbKZsreTW6tdR3gGgf4Y8SZIkSZKkulhB6ybGUcLA4I7qW/l+C/ACMAe4BOjdxu+XgLHAXMLJTXFzpgxMr6GO4yZWaqnOeyhDniRJkiRJUt1cTLKRsayGnOMNmvhzFNhCmHfzFOEEpVeAfW38/vHPpJqEtAAAApdJREFUnFofqOJ3UV4zMCZjpiRJkiRJUt08SbJBMq2DGW01aDr6+Q9we6angetTch/NmClJkiRJklRXFxF2mFQ3NF6nY/NaegJLgR3U1ph5H3gYGJHxWYYA70TZh3D3jCRJkiRJ6gJ+RLJpsryGnCbgUsIJUY8BL5P+OtNe4EXgQWAmMDBT9UGJ9JOgFuSQLUmSJEmSVHcDSR/WOyun/A8Bg4FBOeWluZv0k6D61vGekiRJkiRJufosyVedmoHrCqypvW4EjtG69g+AyUUWJUmSJEmSVIsFpM+HuaLIok5iBnCEZN13FVmUJEmSJElSrXoAT5BsdhwmnI7U2cwkHOUd1/sYYSaNJEmSJElSl3Qa8DzJpkczYc5LZ2h89ADuBVpI1vkHoFdxpUmSJEmSJOVjMPAX0o/E/i0wrLjSOBtYk1JXGVhLx44HlyRJkiRJ6tT6A6tJb4T8C5hNOFa7UZqAm4HdbdS0GhjQwHokSZIkSZIaojfwOOkNkeM7Vj5X5xpKwLXAKyeo4yGgZ53rkCRJkiRJKtS3CIOC22qQrAduAvrleM/TgduADSe470HCoGBJkiRJkqRTwqXARtpulpSB/cAjwNeAs2q4xwjgFsKunfdPcq/1wAU1P40kSZIkSVU6w4k4Unv1BO4AFtC+eS9vAFuAzcC7wAHg35WfDSbMuRkBjKt8RrYjcw8wF1hKOMVJkiRJkiTplHQmcB9hx8yJdrnk+dkLfA8Y2oDnkyRJkiRJ6jKGAvOAf1C/xsxrwN3AwAY9kyRJkiRJUpc1GXgA2ES2hkwLYTDwEuDjDX0CSZIkSdIpyxk06o4+AnwaOB8YC5wHDAEGEebOlAnzaPYBuwk7cDYTdss8B+xqfMmSJEmSpFPZfwEHbiK5m1mmDwAAAABJRU5ErkJggg=="
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "c0804b07",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g32490.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "b9eeb64d",
|
||
"metadata": {},
|
||
"source": [
|
||
"### The algorithm explained\n",
|
||
"\n",
|
||
"The main idea of the algorithm is to perform as many iterations as nodes in the graph. At iteration $k$, we update the distance matrix $C$ by finding the shortest paths between each pair of nodes, allowing indirect paths via nodes from 1 to $k$. At the last iteration, it is allowed to visit all nodes and, thus, the distance table will contain the minimum possible distances, i.e. the solution of the ASP problem.\n",
|
||
"\n",
|
||
"This process is cleverly done with three nested loops:\n",
|
||
"\n",
|
||
"```julia\n",
|
||
"n = size(C,1)\n",
|
||
"for k in 1:n\n",
|
||
" for j in 1:n\n",
|
||
" for i in 1:n\n",
|
||
" C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n",
|
||
" end\n",
|
||
" end\n",
|
||
"end\n",
|
||
"```\n",
|
||
"\n",
|
||
"At each outer iteration $k$, we do a loop over the distance matrix $C$. For each pair of nodes $i$ and $j$ we compare the current distance $C_{ij}$ against the distance via node $k$, namely $C_{ik}+C_{kj}$, and update $C_{ij}$ with the minimum."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g42544.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "b132bccb",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g42544.png\" align=\"left\" width=\"400\"/>\n",
|
||
"</div>\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "722e330c",
|
||
"metadata": {},
|
||
"source": [
|
||
"The update of the distance matrix at each iteration is illustrated in the next figure for a small ASP presented above. We highlight in green the distances that are updated in each iteration."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g33734.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "deb384be",
|
||
"metadata": {},
|
||
"source": [
|
||
"\n",
|
||
"<div>\n",
|
||
"<img src=\"attachment:g33734.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g32779.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "4157df08",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g32779.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g33077.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "7ff1e8df",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g33077.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g33443.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "15095a9a",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g33443.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g38913.png": {
|
||
"image/png": 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PhV8Al2H+PzJFL2AL8Z/fbeADTFCfTSYS+TO7CTjL14pEUuhPRP6Sz03Rcf0KaK5zHXNJCo4pIpIubgfW0PALvhP8KrCJLsd8gprIi9ty4Bo/im2k50js+YUu/wWKfKjXC08S/fzciwCI5Jr+wCeYc1p954L5fhXYRAXAtyR+7ptL5iwKMpDGnd/LgKN9qNcLexH77/gFqSwimz7RkMzjnvKT7U1z3T1n3M9fRCSbHQB09bsID/XBDAF3KgPmYYa77wL2APYDCmtuLwLuBEowH1pkisXAG5jh7Ysxzy+IGeY/GBgHnIiZ1kXN138Crk95pcl1InCG30WIpKEOmHN8tsoj9ojHZcAizIjJYsz5fXfH7fsCc4BDge89rjFZdmJGOs3BTMddCZTW3NYD80H3pYSfZzPgaWAQsCqllSZXHvAQ0X/HRXLK+USmkxWkJjT0awTNo65jvpKCY4qIpIs5hM9/u4DPMdN8/k3kuTFTR9Dcgal/C2Zo/whiD2/fDfO8nc+5msx4czMc8wI9HsdhAqrQc6zETA/KVO2AHzHPZRsmmNIIGhHjUCLPaeuAmcCtwFLH9kwdQVNM+Dl8ClwFdIuxnwUciwk1Mu01f1vgMOILKJoD/yPyOd7tXWkp4Zzp8DmRzy2lI2hE/HQQ0UFJKoYB+hXQfOY65l9TcEwRkXTxO+AKTBDhnO5yHNkR0EwCbiL+FfqmEvm8n/OoLj/9kcjn+Atfq2mahwk/j6uAdxzXFdBIruuHGSV3MqaxrNMHZEdA8xYwKs79dyd6Su++nlTmn1bABsLPb7W/5TRJP8IfKKzBjJZUQCM5qS3RQcnJKTiuHwFNPmZKk/OYV3h8TBGRTJAtAU2iCjGrYYSe9w6yb+q5u6fBzb5W03jHEn4OH2FWOlFAIxKfbAhoGuNCIs9/N/lbjiecswOCZGavMff5/ERMEOdbQBNI5cFEXDYTPVdxtA91pMJ+RC8r/lUTHq8j8Hc0T1JEJFPtInLYe3PM9Kds8pPreiYGUK0wq1eB+Z5djHkjIiJSn/+5rvfypQpvOc/xFpmZLfwa8+E9wAyiv28pl4n/iZJd3nJdH+NHESlwuOt6GabbfWO0BWZhTij/xTTnEhGRzLPedb3Elyq809t1fZEvVTTNnYSnbEwBvvGxFhHJHJuAKsf1bDu/Q+Q5fjWmwXAm6QncVvP1JsxUbN8poBG/zXZd34fsTJiPd11/F/NJXKLaAq8Tnsd6FAppREQylbtXw4++VOGdKx1flwEv+1VII40BLqn5+jtgmo+1iEhm6ULkqMFsO7/3BY50XH/ar0IaycIsUhCa4XANprm1SNrrinlB8hPeLC3ZDbN6RSrnaKa6B01fzHBo5/Eam9CehEnj3fW/jkIaEclMudqDJh/4gchVI7JFc+AvRH5fM22J7ebAEsKrbB3qul09aETik6s9aK4g8hx4mr/lJNWBhM+PNuZvWQdfK0rcZYTrn40JbEJ87UGTiXOBJTUGAtcC5xJeJtQ9FDsZ1mCWXnVOATofmEz2zPE+n8hf+irMHMfG+C9wDqYpl/P39wjMtKfjMI0mRUQkvV2M+YQ15Am/CmmCSzHLT4e0xayGcTjh1ayCmL/pt6e2tCabBvSp+fpu4H0faxGRzFIM/N5xfRPwqk+1NNYAzAfDIYWYv1kHAcMc2xdjFnlx9xxLZ6EBCGBGd16KCWJE0tJI4EWiR3w0tl9KPH5B9IiQUzw8XipH0DTHBFvOY81MwuOeAVQS/TzeIboZsYhIOsvFETS7Yxrlh57zGjKzP8FCov8OOVelegAY4lt1jXcw4dG9a4DWMfbRCBqR+OTiCJqpRJ4Pr/W3nEYZR93n99D38tdk5t+u/1L/90YjaMR3AcwL5AmYFyU2kSM+wJxovPIMZih0W8e2icDzTXjMAzCNn2LZK8a20dS9esZKGh9QXYlZccnp/kY+ltNTmO/T40T+Ho/ArApyDBpJIyKSjoqBZ4E2NddtzN+KMt8q8kZzzLSgbzHNgTOleWQR5u90qE/jlcBW/8oRkQxzMpFTOj/DrLyabfpi+nR9jLcf5CfbBZiltMGETH/zsRaRKEWY6TehT8Dco2ZC864X4X1D6VtiHPv0JjzegzEer7GXhxpZQztgg+uxviW5/5enY5oNu2t+F2iZxOOIiHgll0bQBDBTXJ3P96++VtQ012KGiYcu92GmArlHeH4D9PCpxkTdQbju+qadaQSNSHxyaQTNfsB2ws93K+GpkplmHyLP73dhPiBeTeT5vQqY5FONieoMbMTUXUl40RU3X0fQSG7qAIwH1hIOYeoLKC5KQU3tgG2u466i8dN1HqT+55SKgOaeGI91XiMfqz51hTTvoZBGRNJfrgQ0FtF/F54nO0czd8WMQnE+14WYUTXp7GeEG/FvpO6RtaCARiReuRLQ7IPpwxJ6rmWYEfrZJoAZgbKSyHP8FX4WFadnCddb36p8CmgkZXphhnGVEV8wY2OWhCtMUX1/jHH8xg4JfDDGY6UyoBlO9P/vl3j3Qvw0FNKISGbKhYDGAv5J5PN8HTOSNZvdTORzvtnPYhpQCHxFuNZfNLC/AhqR+ORCQNOXyFX5dmH+tmWzrkSGNNuJbBqfbs4kXOsy6v/AwNeAJhs/tZFowzCdxM8G8jA/aBDfVJs7MSeZVJiGqbGfY9uvMKs8JdqPZiZmhFAyJLr0aTvMKkvO/18b00irKkk1uT0LnIrp5+N8wX8oZnWnYzAjlNKM3Rzz89kf87MJsAOsx/2rSUQk6e7E9DIJeRezOkaFP+WkzG2Yv+t9a65fRPqGNDcBe9d8PYfGj54VkdzSB3POCK3KV41ZcfVl3ypKjR+AGzD9MMHMehiHGSmabtoT7jVjA78ESv0rp34KaLLbcMwvjjvBdTcAjsXGNJm9L9lF1aMC+C2myW2IhRkm/RWwJIHHeqrmkmr5wGNEz7V/CHjb42O/hBlJ8yyRIc0hmJBmLL6GNHYRsD9mfm7oMoBwMBOykvDJXkQk090GXO24/hFwPNnXFDiWKszKkKHn3x3TAyBZH6Ak0/mOrxcR2eQzlu6Or9thpo4779+UhQ5EJDN0x4yG7FZzPQhcCDztW0Wp9V/Mcw59KH0A6RnQHEN4yupKwu9D6tLLdf1YzN+ukIdIz79jkqYKMC8yvib+aUx1XW5Lce0h/xejlmWEk+l0ZWECLXftS4i9RKdXjgXKY9TxGZErZaWYPQZsO47LCv9qFBEfZPMUp5uIfG6fktq/B+ngWiL/Dwb6W06d3P0UmnJ5NsW1i6SzbJ3itDvmNX7ouVWTmr6d6WYT4f+D53yupS7nkbzzu0394Y5IrZaY0SehztpNCWZszBv8zvijCJgbo6Z5mAbH6cgCbif2/6Mfv8THYJY0jRXS+DQ/tN6AJqiARiRnZWtAcw2Rz+sLzDDrXDOFyP+HdP2wRQGNiDeyMaDZDbMya+h5BYmcxporCgg3Vrcxsx7SUUYFNJrilPl2w3TN/h3mU7lgzfamLuV8P/4N3arAzGH8gMgVFIZi5u2PxbyQShd5wL+AS1zbbeAqTNiUaq9getI8BxQ7tu+HGYp5JCbx9sNmzB+1uY7LP4AxPtUjIpJsv8P0nQn5CjgCszJQrnGe20uB9X4V0oD/B7RJYP9zMJ+gg/l7eq/jtq+TVZSIpJ1OwGxgr5rrNvAb4G7fKvLPSCJbFSz3q5AGfA1MT2D/7pj+aSEvE3le1/Qmiakr8B/CK/cESV4qWI1peOW3YcBWoutbDRzsY11O7TC/tLH+H2/0sa6QscQeSTOXlI+ksVuD3a2O22ZrBI1Izsq2ETS/IfL5fId/I1L9djLZO7JEqziJxCebRtB0JHK1N5vI/lO5pIDI763nI0tSaBSRz+sCf8uRTHE9kcPqkhXOBIEnvCr6jrV3NJ+ydMq/7lx4Z7xTlcZgmhW769yFmdceT8NjrxwErCD2/+NdDdw3gDmJNXWkUzzqCmk+J22G2yugEclh2RTQXELk3+RFmA9UssFlwHXEN8rEAs7FjJhxfm9He1WcDxTQiMQnWwKatkS3YJjoa0XJ9TwwgvjeW3Uh+gPqd+O8bybwNaDRFKfMdSemn8goTIgxHPNLYdO0X45QL5Wku/mHm0uqS6tftCxrTGVB5cF3Lrzz8Gv7X/tTA3ebg3l+L2NS65AC4A7MmvZXYhovpkpzTOPHa4j9OzQds3pWfY7FrGyxBPM8Hsb0q/HCLMynmC8QOd1pGPAGuTvsXkRSq5jYYYV7dMluQO8Y+/2Ad+fJZLgY+Dfhv8E/1WwrJvbziWUd6bv0527ALZgFBGYD72OGfK/HfAhQgFnJZAhwOjDIdf/7gLdSVKuIpF5noCTGdudrz0Jinw/LMef4dNUac94b6th2PzCD+M/vuzCzANLVMZj3C98DMzG9P5cCWzAfPLQC+mGC9pOJ/F5vx7wfs1NXrkj62xP4C+YXpCmjZ171org71t7RfNrSabOnLptqOy5fTFk9Jd4RHHthVnKKVXclZt7nHl7U7lCMOfn8WEcdFcClcT5WayK/V+uBSXg77egozLKu7rrn4ftIGo2gEckBh9K0EZ7DU19yQl6l6aNYT0l51fH7A41/Xg8R2acgG2gEjUikuqb8x3N5K/XlJuRnNP38/k3Kq05MrBVg47lsJP3/PidqFJHP8YJUHjwV0yskNZYAVwN9gUdqtgXr3j0mC5iWzKIApn83vWVVWdUs27LdTWAHBioD+8f5MAuAfTHD79zyMY2SF2M+oftZo4uNrQtmStlS4J/E7iWwAjMs8N4Yt8WylchmYh0wn0quBv4G9GxcqfV6DTgJ80mn01DMSJp0XSFLRET89yXmg5JEfI35pPUCTH87ERFJT6+S2CjVnZj3XQOA9zypKEdpilP2WQucj1nO884G9nUKYnqSzElmMXesvaN5VVnVi0Qnq5W2bZ81ofeEREbsbAFOw4ximYpZWtypEDOc/GJMU8anMMHDx5hhhYnoDxyGCTSOoP5P/p7ArNa0OcFj/AWzNHoR4SHxzTANJn+FGV54G6b+ZHkdM4TxZcxUrZBQSHMEZli+iEiylZP4G3z3/dPZWpr2/CB9pzeBmSb7AmZE66HA/pjRu50xf7sqMR8+rMS8nniT1E4/TrUfCH+/V/lZiEiaaMo58MdkFuKBCpp+fk/n6U1g3vO0wJzfDwIGAj0wH+BamJH/mzDB+2fA/zDvzbLRTiK/39tTefBsaeQjkYZh3ognOm3lNMyyzElx8+KbWxXlFc0iesWlSgKcOaHnhFijYeLVDRNwnBHHvmWYpmTfYRo2bsScULZhQooWmClHe2KCmb1rHr8hCzHBzJsJ1u70b+qeFmVjfkc/wIxseqlmWzKMxIQ0LVzbF2CCqRQvH2fPJrwU60qweqb2+CIiIiIiIv5SQJN99sWEM4n0Mglipu8MIPFpUTFNWzqttW3ZszAJrNMu27LPnNhr4gvJOA5mWtGNmP4qqbIc00j5ARIfmePWBxMa1TfdMBTUfI1pKPwE5pPKphqBGaWTBiGNAhoREREREclt6kGTXeoKZ9Zi5n7XNfoigAkcPA9nLMs6I4nhDJgl3Y7G9J15DDNaxgs2ZsWKCzCjbP5F08MZMMFYQ6OWQkHqQEyjxdXAzcS31Gl93sWsJrXDtX0vzFS3Lk18fBEREREREYmTRtBkj/0wTWDd4cxizGiIK4CJMe4XxPQc6UES5vfXhDOvAge6btplY4+b2Hvi/5p6jAa0BE6tuYzCTF1qrCrMHMtXMOHP0iZXF9v+JDZPP4gJ1UoxS/zdQdPmtQ7HjKRx9/T5DvOzk4J5wRpBIyIiIiIiuS3HAxq7GeZN/ChM35ZeQFvMKIyNwFfA28DTYLlHGaST/TAjZ9q6ti/GvOldg2ngtwDoTvTIqesxb/Kb5OblN7cptAtftbDcqyilKpxxy8P83xyEmb7VD7M6UjtMGBFqkr0FM4rkB0xfmYWYnjXvYPrUpMIbmDCkMb+TlcAMYDqNX8LvUEwQ5Q5pFtbU9UMjHzdOCmhERERERCS35WhAYx+DmapyIia4aMhWzGo6fwErKdOAkugQzBvrVq7tizBvrNc42wiwrQAAIABJREFUtp1LeAluMNN2tmNCmyYFEfWFMxbW6Tf0vuHFpjy+R/Ixo2TSwZGYEVBNYWMaFv8daMz/t48hjQIaERERERHJbbka0GwierRJPF4GTgUrGb1HkqG+cGYM0W+oCzFTYULLpQFMASY1pYibl9/cpsgueg04wHVThYU1Lk3DmXQ0F7PcdVN6Q4UaCs8D7sJMzapO4P6J/kwliQIaERERERHJbQpozAiSVzDTWb7B9GMpAgYB5xC9OtD9YF2SokLr09jRDrcD19V8XYHpPbOusUXUjJx53cLa33VThW3bp0/sM/Glxj52A8ctLrKLXnFuC9iB68b3Gf+ZB4c7FrME+aUkqZFyHc4AnkzSY4X61KzABDX3En8D5URGZSWJAhoREREREcltubyK09fAL4AuYJ0J1j/Begusr8GaC9bDYB2NmRbknAZzEdjukSKp1pSpKG84vn6AJoQzU1dObVtHOLMzQOAEr8IZAMrIB0Y7L0ErmMjS4om4FbgIGOnR44c8CywjOSFQ6He7ByagWQmcEud9P8D8HG12be+HWd2pWxLqExEREREREYdcDWguAIaA9RBYpfXvaj0G/MG5ATjPu9IaNJzY4cx3xDcF5UNMABAE/tLYIqaunNqWILHCmTJsThzfe/zrjX3sNDMQ02gYvP++V2OaNSfr9zJIeJRcG0wT7HjNxfTFcYc0fTEhze5Nrk5ERERERERq5WhAY72YYLPfvwE7HdcPSXJB8RpB3eFMvMshbweeA+4GljSmiCmLp3Skmrewa4OLkLKgHTxxQp8Jb8S8Y2Y63/H1mUCJx8d7EFhP00bRhO67BvgTcDhmufFEA7lQSLPJtb0v8C5mRSwRERERERFJghwNaBJllWGWqA7p7EMRI4CZQAvX9gWYkTPxhDMh44BfN6aIKYundLTyrDeBwa6byoJ28MRJfSa92ZjHTVMBzBQ3u+Z6c+Bkj49ZjpmS1JjfzVAwMx9TZy/M6K/ZxN9/xq2ukKYn8BaJjcoRERERERGROiigiV++4+sGpkUl3UjqDmcOA9amoog7ltzRqSac2cd1UxlBTsiycAbMyJNuhKcJBYkcUeOVu4EdhIOheNiYUV6/w6ym9V8SW72pPp8DRwAbXdt7YKY7KaQRERERERFpovyGdxGwmwN7OjYsS+HBR2KW93aHM/Mxb5p/SkURdyy5o1NVoOpNYG/XTWXBQPD4Sb0nzUlFHSnmDmMCmFW9dscsV+6VrZiQ5voE7mMBbwP/JHnBjNM8zEia14H2ju2hkGYMsLzhh7GPJXb/mq6Or1uA/csY+2wDa0ac9YqIiIiIiGQUBTTxcfcemZmi4x6JGQnRzLX9i5rb/A5nSoOB4AmTemZlONMcODXGdgv4OaaZr5fuwoyGKUzgPscCj2CaGVc1sG9jzMOEgm8QHdK8hQlpGgovf0v00vVu7YF7YmxfAiigERERERGRrKQpTg2yW2GWWQ7ZDDyWggMfRd3hTMpGzkxeNnm3qryq2cQIZ7A4PkvDGTB9emI1BLYxy7N77UfgoQb2iTUF6izgUbwLX+v6+dsDM5Kmj0fHFRERERERyWoaQdOwuzF9SEJuAcvdMDXZjgZeAIpd20Nvjt29QDwxednk3QJ2YDZmqWmnUiyOn9BrwlupqMMn52F6zrhDTAvz/zEMM6LES3cCF8eoAUw4swszpelq121nYuo8B29G0oR+Dt8AOji2h0KaMcDSOu77LmYKV2OkpNeSiNS6nujzfzbJAw52bVsMrPOhFq90BPq7tn2C+fuRLfpjnmfIdsw08Gz2DPCS30VIRtsTuNHvIjzWk8hp9bsw579ssi+RHyivpZGr9KapYmB/17ZviV68JKsooKmXfT3mTW7IHOAfHh90LPA80eFMqAdISsKZ25ff3rk6WP0mVnQ4Y1v2cRN7TXw7FXX4pBswmvpHmJ2P9wHNIsyS6KcRblQcYgFTMKO71gB/dt1+Rs0+Z+NNSBPqgeQOabpTb0hj3eZBLSLijbGY3+VckgujAHPhOQ71uwCPLUYBjTRNJ+ACv4vwwV5+F+CxPsChfhfhsaz/G6aApk722Zg3wCHfA2eDFazjDslQVzjzObGXOvbE7ctv71xtV8/GijqJbQ1YgbHje43/KBV1+OgC6g9nbMzy29cDlR7XcjtwumtbENOQd3rN9b/U1PQX137jCPfM8SqkGYlZxtu59HwopDmM7ErxRXLS0KFD2Wcf9+J9ma+qqoonnngCgOOPP562bdv6XFHyLV++nPfee48WLVpwyimn+F2OJ9555x1WrlzJXnvtxf77uz9ozS6vvfYa69Zl0wAvSQfnnXee3yV44vPPP+ebb76hTbc29B/lHkiYHb586Ut2bttJrwN70alPJ7/LSbry7eXMf9EMiBw3bhzFxe63yNljw4YNzJo1C1BAUwf7ZEz/j7yaDeuBo8HycorFMZjREr6GM9MXT9+92q6eQ+SqVZA74QyY0TGxpjeFWJhRI0fj/SdYn2ICkDGER9EEgKlAhWO/vxIOaZyjbULhztl4EyYtqKltNtDFsb07ZjrTYTX7iEiGGjt2LL/5zW/8LiPpSktLawOaq6++mgEDBvhcUfI9//zzvPfee7Rr147p06c3fIcMdPnll7Ny5UqGDx/OLbfc4nc5nlq+fLkCGkkqy7Ky9twwefJkvvnmG7oO7MrJt53sdzmeWP7JcnZu28m+p+7L/uOyL6DeuHJjbUDzxz/+kXbt2vlckXfmzp1bG9CoSXAU+2jMSjGh8GoLMBas7zw8aF3hzFxSGM7ctuS27sG8YMxwxrbso3MknDkQM5+9od8NG9OnJhWmEw5dbGAbsVczugu4kujmwacDTwAFHtX3HSaI+dG1vTMmuMnmHhYiIiIiIiJJoYAmgn0EpjlvUc2GbcBRYHnZa+RYYk9rSnk4E8gLxB45Q+Coib0mfpyKOtJAvKGLBZwEtPGwlpDXMP1ugjXHnQGU1rHvv4AriA5pTqu5n0IaERERERGRNKSAppY9ErOsdSgo2QEcA9anHh70OMzImSLX9g8xb3Y3e3jsWtOWTtsjkBeYY9lWRNMlC2tLgMBR43uPz7aO53UpxPRribV8dSxFmGa8qTCd8O/rWw3sew9wOdHP41RMGOj+eUuW7zDTnX5wbd8NE9IM8ui4IiIiIiIiGU8BDQD2wZheIqFlysqAE8D6wMODHg88S/Sb5Q8wzYK3eXjsWtOWTtvDtuyY4Yxt27kUzoAJzNoRvWJSXYKkrgP+M5jGwGB6uzTk38BlmBqd6goFk2UhJlyMFdK8iUIaERERERGRmBTQYO8LvAy0rNmwExPOvOXhQU8j9pvk9/EhnAF6O7eHwpkJfSZ4OXooHZ1H/KNnwPz+HAL086acCNXAL4HbgNVx3udezEgad0gTmlbnZUgzBrP8t1NoJM3eHh1XREREREQkY+V4QGMPA14HQmtr7gLGgTXbw4PW1bD1fUyz4O0eHrvWbctu64HFW7jCGWCzZVtH5mA40w4zuiTe0TNOZye5lrq8AdyU4H3uJfZImmOI3fsoWRYRO6TphBlJo5BGRERERETEIYcDGnsIJpwJrde1CzgdrJc9POjpwONEhzPvkeJwJp/8OTZ2L9dNmwly5Pg+4z9LRR1p5mxMD5pEBYELaVywkyr3YUbfpDqkWUz9Ic0+Hh1XREREREQk4+RoQGMPxoxGaF+zoRI4E6wXPTzoOGKPnHkPM+UkJeHM1OVTe+aR91aMcGZDkODoCXtOmJuKOtLQ+UQHGPEIAHsAw5NbTtLdD1xK9HMci/chzXBghWu7QhoRERERERGHfL8LSD27NSac6eDY+CHQH+zxCTzQ38Aqj3PfM4DHiP7/fhcTzuxI4LiNNnX51J7YzAF6um7aYNnW4ZP6TPoqFXWkoX7AAU24v40JeOJp3uunB2r+vZfIcHYsZnn5UzA9mJJtBWYkjftnryMmpDkC+NKD44qIiIiIiGSMHAxoaIV5Y+g0suaSiHuBeAKaM4FHif6/fgfT8yQl4cztS2/vWx2snoNFN9dN6y3bOuKGPjfkajgDTV+JyQLOAn6LWQEsnT2ACWEeAfIc24/GhDQn411IMxoT0jhHb3XELBt+JJCro7dEclIwCB99VMhXXxXwww/mdNS1azWDB1dy4IG7COToGF8RkWywcWOAN94oZvXqPH76KUCHDkG6davm8MPL6dixMYPWRXJDLgY0qZQ+4Qyxw5lgMHj4pD0nfZ2KOtJUADP6xaZpfWRaACcCM5JRlMeewDzfR4j82TwK+C9wEt6ENCsJj6RxhjRtMf2gjgJysf+RSM559tlmTJ3asjaYcevWrZpJk7Zz8slenIpERMQrP/0U4MYbWzFzZjOqqqJvz89vzdix5UyevDWrgpqqinwqSgtp1rqcQF72PC9JvVwMaHYA/07C41Q0cPtZRL8BBvNG1Ks3wFGmLJ3Sr5rq2Qpn6jQa2D0Jj2NjlunOhIAGwnW6f0aPBF7BBIilHhx3JeGRNM4VxJwhTa6tICaSM2wbrrmmNTNmlNS735o1eVx5ZRs++KCQ6dO3YqVzG3bJCevXB/jyywLmzy/gyy8L+OabAkpLwz+YDzywmYMP3uVjhSL++/rrAs45px0bNtQ9BLKqCl56qZgPPyzkscc2MXhwZQorTB7bhgVv9OWL/w5i2Yc9KN3cDAArYNOy0w76j17Kfqd9TY/9VvtcaXJU7cqjdGNzKnYU0qLjDkraxNvpI/1VVsKiReHz+/z5BaxYEf4AaciQSmbM2JSyenIwoLE2Y5Yd9tLPiZ5CAvAa3k0hiTJ92fT+QYKzga6um9ZZ1dbhk/pO+iYVdaS585L0OBZmmlAX4MckPabXZmCCJfcor1HATLwb5fU94ZE0zpCmDeZ3RCGNSKS2wP6YptqhRvNB4A7fKmqkO+9sGRHOtGkT5Nxzy2pfoH/5ZQGPPlrCli3mxf2jj5bQpUs1v/99SgacikT54x9b8dJLxfz4Y+zRXiFVVUoRpVHygP6Yc3wXx/b3MQuJZIx16/K44IK2EeHMwQfv4pRTdrLbbtVs2JDHCy8U8957RYCZAnXBBW2ZOXMjXbpU+1V2o2z5oRWP/+pkVn3hfosFdtBi29qWfDpjKJ/OGMoBZ87nuBvfpKh55gW4P61oy+fP7sPXs/qzYWn7iNvyi6roOnA9fUcsp//opXQf+oNPVTbeggUFXHtta779Np+KirrP4aWlqZ1znYMBjecuxCxr7P5OplU4c0PfGxTOQHPM6lpOQcLfu9D4ROf3chd1L8edh1mu+8/JKjAFnsSENO4m1iMxIY1XTaxDIc1soI9jeyikORr4xIPjiqS7AGaU2f7AfjX/9o6xXyUZFtB8/XUBd93Vovb6gAFVPP74Jjp3Dr8wP/74ci66qIyf/7wdCxeaU9Kf/9ySsWPL2WuvGGPlRTw2d25hg+GMSAJ2x3wQFjrHD8NMk3e7hQwLaP7wh1YRvys33bSNK66IHIx99tll/Oc/Jdx4Y2ts24Q6N97Yivvv35zqchvtp+XtuOfMc9jxU/OI7W27b6GkdTk7txWz6fs2tds/fXIIG79vw0UPPkVeQWYEUVUV+cz55yG8fc+BVFfGPv9VVeTz/byufD+vK588MZSJH/8jxVU23YYNAebNcy+w7D8FNMl1EdEr5AC8iglnUjIWbMryKQOCdnA2kUk8wDo7zz5sQu8J36aijgxwCiakgXAPmgWY0OI94GNgEURMD7sOeBGzdPQRmBW6igkHOxeQWQENwFM1/7pDmhGkJqSZQ+yQ5igU0kjuaYNZ3SzrTJvWEts2XxcV2dx77+aIcCakc+dq7r13M0ce2YGKCotgEKZPb8mDD2bOC3jJTgUF0K9fJYMHV1JVZfH00838Lkkyz++Aa/wuItm+/LKAl14qrr1+6qk7o8KZkAsvLOObbwp4/HEzmnLWrGLmzStg2LD0n+pUubOARy4/NSKcGXT0Io65YQ7te4T/Rm1c2ZaZU8fw7Wv9AFj2YQ9evPUITv7TqymvOVGVOwt46JLTWfphj6jbiltWUNJ2J2Wbm1G+vciH6rzVvn2QwYPNOf7pp5vV2SfPawpokqeucGYWJghIWThj2VascGatnWcfPrHHRIUzYec7vn4B+AvxfVqxvObyCGblpguBiZil2/cBhgDzk1qp957ChFSPEx3SvIIJabZ7cNxVhEfS7OnY3prwSJqPPTiuSKYJYnqfZeQ7wtWr85g9O/xi7qyzdtKnT90jYvbcs4ozz9zJww+bF/Cvv26mmKTjMPgdOyxuvbUVAJddVlrv82qKYBDeeaeITz8trJ1C0Lp1kEmTvDg1h330USHPPdeMZs1sbrllm2fH2b7dYubMYr77LtzbZfjwXZx4or+Noo85ppzTTzfT8AYNqqKoyKSML75YrIBGkqmU8IeGGeeRR0pqA/i8PJgwof7z0vXXb+fpp0uorDS9XB5+uIRhw7amoNKm+eixYaxf3KH2+n6nf8Vp01+O6pPWvsdmzv1/z/HMdcfz+XN7A/DJE0M56NzP6dx/QypLTkiw2uKRy06LCGfa99jMmKs+ZMDhi2neNnw+3rGxhJWf7c6CN/uy/JPufpTbZJ06VfPb3+6oDWW6dQu/xnjjjSIFNBnuYkzjYXc48wpwKqkNZ+YAnV03rQ0EAoeN7zF+QSrqyCB7A0uBqzCjnBpjC/BX4CFgGuZnYW8yL6ABeJpwSOMc7zcc87N8DN6GNHOIDmleBcYCH3lwXJF09iNm6fnQ5X3gdsw5JuO8+mpxxPWzzipr8D5nnVVWG9DYNsyaVcSFFzZ8v1SrqLB49FFT54kn7qRPnwbu0Ajl5RbnntuODz6InGHbpUu15wHNokX5PPpoCa1aBT0LaOpqLFpUZPse0Fx1lfofSdJtB74k8hy/BcjIbrLBoAnRQ0aMqIh4oxtLp05BDj+8nFmzzP1ef72Y6uqt5KX5bMIPHty/9usW7cs48ebX6mxib1lw0q2vsfCt3pRuKsEOWrz5t+Gcc/fzKao2ce//5wAWv9ez9vqQE77l9DteJr8w+vvZon0Zg45exKCjF7GrrK7uD+ltwIAqBgzw9m9oYyigabpLgHvwOZyZvmL6XsFgcDbR4cwqghw2vvf4JamoI8PsDWwDkvFx5ybgl8Ak4KckPJ5fnsGENE8QGdIcirchzWrMaJ3ZwF6O7a0xo9AU0kiu2AK0wpvfM9+89VZ49EyrVkH22afhoeyDB1fSqlWQbdsCtY+RjgFNKtx9d3M++KCQggKbiy8uY9CgSgoLbYqLbb9LS4rf/rY1GzYE2H33ai68sJRu3YJYlk3v3uk3YkqkiW7FTJd3//K6R75njAULCli/Pvw2aPjw+JrhDh++qzag2bTJrJKWztOcNixrx5YfWtVeH3rSNxSW1F9vYckuhp38De89cAAA383pQ0VpYVo2DN6ypjWv/3VE7fVeB37PGX95Ka4lwwtL0u/5ZDIFNE1zKfAvosOZmZhwpqGluJNi2rJpQ4LB4BuYKTZOq/Kq88Zc3/f6pamoIwN5sV5a+o5bjN+zmGXiZxAd0szChDRefIy6FjgM039joGN7a+ANzKpSb3twXJF0EiTLwhmgtuEvwNChlQTiWBAhEIBhwyp5+20T7ixalH6N/ABatrS55x7Te2DAAG+mN732mnkTc+aZO/nDH7ybZhTLyJEV3HPPZgo8+u9ftSqPBQvMg99++1ZGj07JSycRv6T2FzgFnOd3gGHD4nuzvu++kfstXJjeAc26hZ0irvfYb01c9+ux35ragKaqIp/vZvdhyAnpN6nho8eGUbnTnIsDeTan3PZqXOGMJF9q14zKLr8k9siZl0lxOGNjK5yRZHsO0zvJ/XN8CGYkTauoeyRHKKRx90pqjvndGuXRcUXEI2VlFmvWhMet9+gR/6iIPfYI77tqVR7l5em3lHFhoc0JJ5RzwgnldOjgzYvZ0P9fv36pX8mqZ89qTjihnLFjvRkQ7Jzj78fzE5GmWbQoMqCJ9xzv3m/JkvQeN7BjY0nE9Za7xfdZinu/VfOjl+b2W3VVoLZXDkDfEcvp2GejjxXltvT+TUhflwH/D7Pqj9PLwGmkKJyZvHzyUNu2Xyc6nPk+rzrvsMhwxrYwDWy7Y0YkbMH0/vgGLMWjEkvo5/lZwNmq/RDMVKQjAS+WVVlHeCTNIMf2UEhzPPCWB8cVEQ/8+GNebfNIgK5d4w9onH0MgkFYuzaPnj3T6028bVM7Dat58yD5rldW27YFsG1o1symsND8RyxYkM+iRQVUVkLv3lUMGVIZ1Xuhuhp27DCPu2uXeblRVQVbt4Y/FyopCXo2siVk1y6LnTstLMtMT3OqqoLSUlNPy5ZBAgGorIRPPilkzZo8iotthg2rpHv36O95eblFRYXF5s2BiG2h5xfreCKSfpwha16eabwaj7ZtgzRrZrNzpzm/rV6d5g1o3OzGfWCwYYn7bZv/Vn3Rle3rw6u9Dz5ea8r4SQFN4uoKZ54Ffg6kZGze5OWThwbswBtAe9dN35PHmOt7X7/MXLU7AuOB84BORPsB7MeByWBt8bBkyUyhEWHPERnS7Ae8TmpCmr0d25sDLwEnYJoKi0iaC63IE9KyZfx9U9z7uh8rHWzaFGCffXYD4KmnNkb1XzjooI5s2RJg8uRtjBpVwW9/24a5cyNTlf79q7j77s3stVc4fFq4sIAjjoh8IX/rra1qV4wCmDFjEyNHevuZ0IwZzbjhhta0ahXku+/WRdz28ceFjBtnXobMm7eejz8u4KabWkc0+7UsOOmknfz5z1tp1iz8/fznP1vw5z+3iHi84cM71n7dsqXNwoVrvXhKIpJEzvNySYkdFVLXp2XLcEBTVpZ+53enZq0jG5bv+Kmkjj0j7dgQuTjX+iXut27+W+0a1dNj/3C/6h+/3Y0lH/Rgyw+tsCxo3q6Mbvv8SK+fraKgOL0+MMkWCmgS8zvMUszuM8gzwNmkKJyZumLqMIK8TnQ4s7IqUDXmph43LTdX7SMwyye3refhugLXAmeB/XOw4llmWnLLTMx0p+cA51IsoZDmKLzp57MeOJy6Q5rjUUgjkvbcoUpomeJ4uJvgpmNAE69Vq/I48cT2bN9uceihu2jTJsjy5ab/ysKF+Zx1VnvmzNlAu3Zm1Ejz5kFGjDDhy4cfFlFVZZYfdy413rZt+owweeqpZkyd2pJ27YIcdVQ5tm3x1Vf5rF2bxwsvNKO62qrt1QOwxx5VjBhRwZYtAb76ygRWBx20i4IC8z13hjkikr6cwUoi53eI/D3fsSO9z+8de0e+1P1+XjcGHb2owft9P69bxPWyLcV17OmfNV+F15gpalFB+z22sPa7Tjw34RhWzY/dv7qoRQUjLv6UkZd9pKAmyRTQxO/3mHDGLb3CmZ614cyRmDfWzu/xj5hmqz8C7YDRhJc13h14CewRYH3l2ROQTPUKJqR5ntghzZF4G9K8gZmiF1JCeCTNbA+OKyJJUlUV+aI7kU9XQ2/WQ0JTfTLRv//dnIEDK7n//s0RU35mzSrm4ovbsmFDgP/8p4RrrjHLOvfoUc2TT5rT6oABndm2zeLii0u54IL0XMlq+vSWXHhhGTfdtK02WKuqguuua82TT5bw4ovF/O53+bWjhMaN28m4cTt5990izjyzHQD33LOZjh3TJ3QSkYZVVobPy/n5iQU0zv3T/fzeZa/1lLQprw1YvvjvII78/bvkF9UdTlSW5zPvhUGR23YWYgctrED6hNDbHNObWnfewbev9ePxX59EdWXd084qdhTxxt+Gs/Dt3pz/72dp0aE0FaXmBDUJjs/VxA5nniaV05pWTN7XDtqxpjWtxGK0I5zZDbNMcuhlsA38AegJ1vlgjQfrUqAf8AvCS4G3Bp4H2zmVRSRkFiakcXeK3BcToHg1ZjMU0riDwxLgxZrbRCRNuUfBVCQwI8fdFLhZs8x9815UZPPQQ5uj+rGMHVvOqFHmP2XOnPT7ZDVehxyyi9tu2xrx/c7Ph5tu2l77Kfns2Zn7/EQkNucomIqKxEIW5zm+pCS9z+9WwGb/M+bXXt+2rgUzpxxW731mTj48orcLmL5lu3am16qEO7eF3/qV7yhkxu9PqA1nBoxZyqlTX+HC/zzF2f/3Aode9ClFLcJ/yFd90ZVHLj+13jBHEqOApmHXAH+Osf0pzMiZlIzpmrpk6n5W0HrdwmrnumkFFqMn9JqwwrHtWiLfLN8M1p/Acq17Z9lgPYTpTxPSB7gyaYVLtpkFnEx0SDMMYo7sSpYNmCDmS9f2EuB/KKQRSVstWrgDmvhfwLsDmubN0+cTx0SNHVseMT3J6dBDzZ/nJUsy9wXu2WeXYcX41rZrF6xdfjyTn5+IxOY8Lye60p7z70FJSfqf30dc8gnN24VHMX74yL48dfUJbFvbMmK/bWtb8tTVJ/DRY8MAos6NeQXxN8tPhYod4YBm29qWVO4sIL+oivP+9RwX3P80B5w5n36jlrHPsd9x/I1vcs0b99JlYLgn2fefd+Pd+w/wo/SspICmftcCd8bY/hRwDikMZwgQK5xZHKgOjIgMZ+wAcKFjn++BKfUfwXoGMwIi5Hqw9SpK6vIqcBKw07V9GN6OpNmAmZY317U9FNIc4dFxRaQJWraM/FR048b4X3q4923dOv1fwNdl0KC6XzJ07mxerIdWbcpEe+6Z3c9PRGJznuN37rTibvZbVQVbtoTPCZlwfm/RoZSz/vY/8gvDAcu8FwYxbfiV3DX2Yu479yzuGnsx04ZfWTu1qd0eW9jriMW1+xc0q4y4fzoI5EWPXjp2whwGHhW7x07LTju44L5nKG4ZHknz/v0/o2qX3j4mg/5S1u1a4I4Y258kheHMlBVTDibAbKIb/S6uLqgeM77v+NWu7UOJfIM8A6x4an3E8XVnYHji1UoOeQ0zksYd0gzFhDRerSG4GdPv5jPX9lBIc6RHxxVVe86xAAAgAElEQVSRRuratTpi2suaNfG/gHMuu9qsmc1uu6XXi9pE1Nf0NtRrJxgkYknyTFJf75jQ8uLB9J7BICKN0KtX5NuMeM/xa9fmUeW4a+/emdFods9DV3DJ44/Tpuu22m120GLdoo4s/aAn6xZ1xA6akGr3fdZy0cMzCFaF33I3a+0ehO6/wuaRkyxa7baDA8+ZV+99Wnfezs/ODu+zY2MJq1wNkaVxFNDEdh2xw5kZwLmkKJyZtmTaIVbQmgW0ct20qLqgesyN3W9cE+Nue7qufx7n4dyjEk6O836Su14DjgHcXcFSEdIcRXRI0wzTk+Z4j44rIo0QCES+gF+8OP4uwc59+/SpIqBXLSIiaaVv38i3RfGe45csidzP/TjprMe+a7hm9j2cdOtr7HnoiohGwfmF1fTYbzWnTJ7F5c8+TPs9trBxZfhz9k59NvpRcr2KXAFNv5HLYo6qcdvr8CUR11fMVUCTDFrFKdr1wPQY20PhTEo+vpu2ZNohdsB+hehwZmEgP3DYhO4Tfqjjru7pJT/FecgNruv7xnk/yW1vA8cCLwPOLmhDMCHNEcT/M5iI0Eia1wDnpNcizMpq4zBhjYikgcGDK1mwwDRF/PbbAkpLrQb7yZSWWnz7bbiR4uDBKenHLyIiCdhnnyosKzz677PPCjn22IZHiXz6aaHrcTLrHJ9fWM1B537OQeeaz8IrSgup3FkQtZpR2ZZifloe7lKx++AfU1pnPNp02R5xvdOe8YVInfaMfInvbogsjaPPoiKNJ3Y48x/MtKaUhDNTlkw51A7YsUbOLAzkBw4bv8f4usIZAFcjYApj7hXNvd/AOO8n8g5wHLDDtX1IzW2dPTruFsxImk9c20MhzQkeHVdEEnTUUeF56lVV8OabDS8W+OabxRHD348+OoHln0REJCU6d66OCNBfe60orqmas2aF/w4MHFgZtcJdpilqvivmUtNL3u8Z8f/RY393dwr/deobGbQUlrjfTsZW3DJyP2ezYWk8BTRh44FpMbY/AFwCpGTm9LSl04ZbAesVoKXrpnjCGQB35Ll7nIfu7rreAWx33xuRuryDGUnjDmn2AuYAXTw67hbgaKJDmkJMSHOiR8cVkQSMGlURMWLmoYeaN3ifBx8sqf26VSubkSMV0IiIpCPniJlly/J5993636h/8klh7ahKgOOOS7++LMky9+khtV+37LSDviOW+1hNbLv1i5xIsassvs/3K3ZE7udsGiyNp4DGuJm6w5lLSWE4Y1v2TKLDme+CgeCYOMIZgPmu6yPjPPyoGNtax3lfEYB3MT1ptru2DwBm421IcxTwsWt7IfA0CmlEfFdSYnPxxeFPFj/8sJCnnmpW5/5PPtmMjz4Kv/C79NJSiooytHuuiEiWO//8Mlq3Dr9dmjixVZ2rOZWXW0yYEH6L0aqVzS9+URZz30y37KM9WPxur9rr+5/+FXn56dctvfdB30f00Vm/1L1wcGzrl0S2m2y1m/stgDSGAhq4BfhjjO33k8JwZsqyKSNsy441cua7YCB42KSek+KcsGgtB5Y5NpwGdtf672MXA7+McYO7FpGGvIcZSRMrpPFyJM1WzEiaukKakzw6rojE6corS+nQIfwn9brr2vDggyVUOtoOVFaakTPXX9+mdlunTkF++Uv34DwREUkXrVsH+fWvw+fpZcvyGTeuPcuXR7Y7Xbkyj7POaseCBeHtV121g7Zt0y+0aKpt61rw3A3H1k5vatGhlOGXuF+mpoei5rvoO3xF7fXF7/QmWN1wTPDdm5Fr0/T82apkl5aTcr1J8K3ATTG23wdcRgrDGQtrJpFNVgEW5Fl5h03oOWFtgg/5f8Bfar5uBjwM9glguZdEBmwL+DvQK/o2Gh6DLhLtPcxIGnfg2B8T0hwGxDMaLFGhkGYWcJBjeyHwFHAm8IIHxxWROLRqFeT++zdzxhntqKiwqKyEiRNb87e/tWTvvU1K8/XXBaxbF35RWFxs88ADm2jZUqNnxB/l5VbEz2TITz9Fblu3LsDKldHLC3fpEqxdZlwkm11+eSnz5hXy8svFAMybV8CIER0ZMqSSLl2qWbcujy++KKDa0Wrm6KPLueqqzArg5z6zD5323Ej3oXW/lF320R48d8OxbPw+/GHDCX94g5I26TuV68BzPmdBTeCydW1LPp0xpN6ltreta8HHTwytvd66yza6D0m/BsgNWbcuQHl59GivXbvC28rLiXl+b9bMplOn5McFuRzQ/Am4Mcb2e4HLSdW0pmXTRtrY7hVwAL4sqCw4/Nr+1zZmBZx7MH1zQo1+DwfeBXsiMBusqppgZn/MCKJjavarBAocj5Od4w0lFd4HxmLCEndIM5vUhDQHO7aHQpozUEgj4psDDtjFQw9t5je/acP69eYN7rp1Adati+5XsNtu1fzjH1vYd9/0Xtmjdesgs2aZP9W9e0cvE/vMM5uoqoKuXetugDlq1K7ax7BizAp49tmNVFdDt26pb6J53HHlDB1aSV70a1OGDKmsrbtdu7prmzBhO1dcUUqrVtEvrYYODT/3Nm3S71P0Tz8t5MwzGx7u/5vftIm5fdasn7QCmeSEQAD+/vcttGjRiiefND3EgkET1MybVxC1/7hxO5k6dSuBDJvP8eVLA1n0Ti/a99hM3xHL6bTnRkrallFVUcCmVa1Z/E5vVs2PHDB+2K/fZ/DxC3yqOD79Ry+j98ErWfZhDwBennIYbbpto//opVH77thYwiOXncbOrcW120Zf+WFcS3Onm1/9qi3vv19/z51vving4IM7RW0fM6aCxx7blPSacjWguQ2YFGN7SsOZKcunjLJt+2WiR6rML6gsOKKR4QxglYF9Oma0wm41G/cDXgXKwf4JaOs67jLMUsm/dmzb0rjjiwDwASakcS8X7xxJs8aD427DLMH9MpG9lQoIj6R53oPjiiTLecRehWx/x9d5mJ9nt62Y6blpa+TICmbP3sB99zXnueea8f33ke/8e/So5tRTd3LJJaUZMew9P7/+JcAHDmz4zXnr1kEGD677uQ4a5N8b/Pbtg7RvH7u2Fi3suMKHPfaoZo89Ygc4LVvG9xgiWaIAeCzG9mLX9XHEXlH1QWBmkmtKmmbNbP76162ceGI5Dz9cwuzZRVRWhlPnggIYPbqc884r44gjMruh7MaVbdm4sv71VAJ5QY74/buMufLDFFXVNKdMnsW/Tjuf0s3NqNxZwEMXj2PgUYsYeOQi2nTZTkVZASvn7s6nM4ZStiX8I9t/9FIO/PkXPlaeXXIxoJkMTIyx/d+YcCYl41CnLpt6FDYvYKYg1bKwvsivzD+y8eFM7SMtAPtnwMNEvkktJnplp7eB84EJru3JjwSznn08ru9pnL4237OsEwpp3MvG98OENGPwJqQpxSz9/RIw2rG9ANOT5jz4/+ydd3xT5f7H3ydNummhlKEUGTIVUWS4UBDxOrgoTnDguE4coOgFBP1ZvEpx4fY6cS9QueACERzgQsCBgOyhCGV20Jkm5/fHkzTJadombcZJ+n3zyoueJ885zzdt8uQ8n+c7eCcM4wpCKOiNujmvC0stfXZjcoEGICvLyYQJxUyYUMyBA5bqEJI2bZwxIcoITQerVfdJfhr8+SE0RogHEqh/fgclzvgTaL4NrTnh4dRTKzj11ArsdhUiuH+/hRYtnLRpE/shf22672bLTznYy2p6BbnRNOjY/0+G/98XHHJEfgStaxzZHQ9wxYvv89q1F1FakIyuw+oF3Vi9oFut53QbtJlRT8xDs8Tm3zU11dngOd67OmUoaWpfG9OoKUKACgkaQyTFGfyLM85E59A7O99pLJXdQLTtwGDQhwAXoCo6tUGFnOwAfgHeBOaB5gS9h9fJW0CLraBQc/Ac0K4B592NEg/jke9R3jILUZ5bbroSfpHmn9QUaRKANwANeDuI610CbACWh8g+QRCAFi1ElBHMywknVLJ2bewssATBTNhsOjk5DnJyIh+eGS7OvutL/jF+CVt+yuHPXw6leHc6RfnN0CxOMtsepGWHAxxx+gaatyuMtqkN4rBjd3Db/JeYl3s6axZ2w+nwX42rWasSBo/5nuNHr8CSEJviDMBrrx2Itgk1aEoCTW3izHPATURInJm+ZfoZuq7/j5qujD87E52nT86ZHCJxxhttMSrvRx3oCfi6zy8LvR1CE2YFKuzoc8A7mL8rKqnwqcDWMIzrFmk+co3hJgHlXabh39XYSLqr/xZURSpZTQrh5AOUGNgQ/CSDFwRBEEyCHVWIpKF8FypDhIZjTaqi68CtPpWP4olmrQ9y2bNzOLg3jbVfdGX/n5kU70knMcVOequDdOz3Fx367iDBFj/Cm5loCgKNhqpodJuf5x4DxkfKkLwteWfquj4HP+KMnqiHSZwJmFPwTVS8NFqGxBEbgG0B9t0STkNMglukWYivSNMRjyfN1jCM6y3SDPFqTwBeQ80Rb9ZzjRNR82VX4DzUAloQwsUProcgCIIQXzhQaRUEwfSkZ5fQf5Tklok08S7QaCgRZpyf5yIuzqBTQ5zRdG1lYmLi6eNzxkc738s1Xj+XE1zoh+CfF0F7ONpGmIyVwFDgC2qKNF+hRJpwiFWlqKSr/kSaV10/1yXSuPM46cBERKARBEEQBEEQBCHExFhhs6DQgMfxL87MIILizPSt08+qU5xpH21xRu8LjPJqmAVatAUjIX75GSXSGD3GOqA8aTqFaVy3SLPI0O4WaUbXcl4CcDkqrEkD+uMr8giCIAiCIAiCIDSaeBVoNOAJYKyf5x4F7oiUIdM2TTtbd/oJa9JYYRJxpi3Kc8Bd5/QgcE/07BGaCHWJNF8BncM0bilwDsqDx5sE4BVUNTMjw4DD8MyXOjApTPYJgiAIgiAIgtBEiUeBRgOeBG7189wjwJ2RMmT6punDNE37EEjyeUJjBRbCLM7ot4B+DuiJdfQZiso14129abKr+pMghJtfUCKNsaT8YShPmmiINDOBK73aNGACvkmBNVQunT5hsk8QBEEQBEEQhCZIvOWg0YCngJv9PPcwaqEVEaZvmj5M1/QPqCnOfFdRVXFWbtfcojCbcDpqEbof9EXAatRCOAm1AB4KHGk450ng6TDbJQjeuEWaL4Bsr3a3SDME2BSGcctQiYM/QHnIuHGLNKASCF8NnOTnfB01n1wSBtsEQRAEQRAEQWiCxJNAo6HEhZv8PPcQKrFnRJi2adr5uqa/C9h8noicOONNFnCR61EbDuBB4G7QIlzIXj8G6A20BZoB+cAO4HfQGlpm1mTo2SjxoRTYD9rBKBtkNn6lbpHmVMIj0lQAFwDvo8QaNxaUSNMCFe7npKa3oQZcDEwBNofBNkEQBEEQBEEQmhjxItDUJc48SATzReRtyrsAjXcwijPwraXCclZuj9ziCJmyDFUaOLuOPk5gCXAHaCsiYhUAug2VvPl6VNni2vptARaANiYydoWcq0G/DTjUt1lfj8qz8hxoP0feLFPyK6rU+2KUWOemPR5Pmo1hGNdbpBnu1W5BVXqrCwsqZNLfvCMIgiAIgiAIghAU8SDQaMAzgL9FfETFmWmbp12IKk9dU5yptJw1scfESIkzgPYA6HlAX+AEoB1q4asBO1G7/h+DtiNyNgHoR6OSEvcKoHMn4EbQb4q8Z09I6FlLezfX43rQ31f/awciZ1Y00ZNQoXXtUJ+TXcAfrqpha1FCTG0izamER6SpBC4EZqPCAoPhX8BUlOeXIAiCIAiCIAhCg4l1gUYDngVu9PNcLmrhFBHyNuddhBJnjL/TpZZKy9mRFWfcaE7gJ9fDBOhHo0oct/RqdADfoxbe+4BMoAtKWGoWaQvDgANwh7S18PP8hcCxoJ8M2t+RM8uIfhjqd97P9X8X1OcLoAi0RibE1Q8F7kWFBTU3PGkH/XMgD7RvUULMYuAQrz45KG+v04A1jbPFL5WoMMC5wJlBnJeEqhY3JQw2CYIgCIIgCILQhIhlgcadJ+JKP8/dC9wXKUPqEGeWVJRVnJ17ZK7kHFHlvBfiEWecwPNALmi7/fRPBAYD10XEvNBRhVrkf4SqkLUJtCr1lJ4EDECVcr4Sj6dVZ9VfPwG0ysiZqh8GPIcSZVrV0bGgkeMMQyXcbVlLBxsqUe+ZoD8A2r14PGm8RZq2rrYhhEekOZWaibPrQwduAaYDURBhBUEQBEEQBEGIF2K1zLa/crhu/o8IijPTN0+/GBFnAuFpPCKADtwE2k3+xRlQQoX2OWgXxVh407GgjQDtZdDWecQZAK0CtCWgXYfKt7LH9zxuiKypZANnUbc400j0E1D5XbzFmbXAy6j3xFeo9wOoz/X/gT4B+AMlmBi9itqgRJojQmhkT+AdYD4q9CoYNCCDyP/tBEEQBEEQBEGIM2JRoKlLnLkH+E+kDMnbkjdSR3+LmuLMNyLOeKOfhkrE6uZp0J6PljXhRdsfYL8fgPNQnkRu7giDQcFQBfwGvIISURqJnoYqY53sarCjPKKOBO1a0G4F7VSgP/CX14l5LmFnHcpbpjaRJlhvF29ygNGokLvVwChXe0PmRCcwHhXuJAiCIAiCIAiC0CC0+ruYigTU4nG0n+fuAe6PlCHTt0wfpev6G/gRZ6yp1rP/3fbfJZGyxfzo7+MRaIqA9qA1qtR47urc9KSUJGNIyRl3db7r88Zc1w9/4etVMQ54MnSX1z8AzvdqOAK0EIgjAY3dFZgMrHA9fgGtzPXcHGCEq2MBaP7y59R3/Sn4fiZvBe3pWvoeAazEI3J8Ddpg18/dUEmCDdWw2I3KSfN7EEadB8wAOrqO/ZXQbijXojyDBCFe2Au0tNlsWK2xHBFdO2VlZT7HiYmJJCQkRMma0GO326mqqvJpS05ORtNi7favdsrLy9F1j6OtxWIhKSk+9fKKigqcTifAAoLLlyYIRq4FXgRISUmJsinhwevzAoCmaViT4+u7zF5m9zm2WC0k2OLnO0x36FRV+n6Hxdv3tBun00lFRQUQWzloEoBXgcv9PHc38EBDLjp9w/QjnQnOnpM7T34/4HNqEWd09IXJtuRzx7cdX1bLqU0QvTW+lXHea6w4E2fMxVeg6U1IvFcCQdsAXB2ea+s24Havht9QCb1rs2UN6E8AE1wNg0A/3uVptB5P4mBvsaw1ygMmGJEmA1+hJ1TijBOYiBKQnfX0FYRYwQJqkW+32+vrGxdUVkYwDViUKC8vj7YJYcXpdNYQ3uKQ+FudCJGm+j3UBD4vAOi6XkPQiDecVU6cVfF9G9oUvqdjRaCpS5yZAkxrxJXf1NCOyt2Qm5XbNbde4SBvU94lLnHG+OX4ebItecT49iLOGDgF37Ljc6NliEnZbDhuHRUrQs/J+Oaded5VVawungf+jcez7zzgB9fPbpHmS/yLNEOBVQHY9RrwGXATyhuqOaHxorEAXVFeRx828lqCYCpGjhzJBRdcUH/HGKO8vJwrrrgCgIcffpgOHTpE2aLQs3TpUp588klat27N00/X4sAY4zz22GN8//33nH322Vx11VXRNiesTJ06ldWrV0fbDCHOmDVrVrRNCAtvvfUWc+fOpV+/fkyYMKH+E2KQ22+/nR07dnDytSfTfXD3aJsTcoryi5h1h3p/vvjii2RmZkbZovCxfv167r77biA2BJoE1KLqMj/PTQbyGnrh6Vumn6Hr+jEAKQkpx6GqDNXKtE3TrkbjJQyLOR19QbIt+TwRZ/zS3+tnneoFt94G9TcdChyG+p3uRYXafAp8EWPJgRuK8TXGi9/5Pw3HH9d/irYZ9NVAL1fDcJRXipsNeDxpcrzavT1pAhFpdgO5wCPANcCdrus1VqhxAnchAo0QZ3Tq1ImBAwdG24yQU1LiiUTu27cvPXr0iKI14WHPHpWLPjk5OS7/hgBvvvkmAO3atYvb1+imRYsGRBsLQh1omha3n5uvv/4agJYtW8bta0xNTQWgddfWHH7i4VG2JvTs27av+ucTTjiBrKysKFoTXrxDDc2eJDgBeB3/4sxdNEKcAdDRJ2iaEgEcuqPOT27eprx/aZpWQ5wB5ldqleI5UzvHeP2cD+wH/SZgE/AoqorQkahKOicDtwGfA8tA7xNhW6NBR8PxHn+dYhDvv90O0LYHeN5Sr5+7g55qeH4D6n2y1dDeCiXS9A7CxoPAE0AHVBjeSld7Q4VBC6pk+eAGni8IZmNntA0QBMEvW6JtgBDz5EfbAEEQ/GNmgSYBeAO41NCuoxbx0xtz8bxNef3RGaLruoba+b7M9XMNpm2edg0aL+JHnKnQKs7L7ZQb3wHdjSPb6+e/UbmCngHS6jmvH7AE9HhPgjfccLwmKlaEHu8y2H8Ecd56r58tqATBRraiRBDjDWorVNnuvkGMB+rz/xHK2+tk4BPUPNMQoUbH1+tHEGIZuYEXBHOyLdoGCDHP7mgbIAiCf8wq0NiAWcAlhna3OPNEYwfQLNokPAswi6Zphz+05aGhxn55m/Ou1dBewPi70vlMxJmA8A4W7ILyfAIoQIWo9USJNW1QXgzfePVPA94FvUsE7IwCej/gQq+GnahkujGOnoFvLp0/gzjZ6GnTtZZ+21DhTkaRpgUqVLFfEGN6sxQlmvUB3gQcrvZAxRoNVVnj2AaOLwiCIAiCIAhCE8WMAo0NeA/fyjagFkghKXE8bdO0brquj8A334fu1JyTfPptnnYdKnFpTXHGUnG+iDMB0czr5wzX/38Dx4GWB9ofoJWCthu0j1CeEc95nZMJPBwZUxuDbgP9ctADzOukH41KmOydbPrJOMm7k2E43hvEucYQr7qygW1DvV+MiZbdIk1/4wlB8CtwBXA48CAqHAoCF2rubMTYgiAIgiAIgiA0Qcwm0CSiPGfOM7TrwFjgqVAMYtEsE6j52jV0huRtyrsElDijoT1Xo5/Gp2nONPGcCRx/uXmuA229n3ZcAsVYfD1Jzo0BLxorKiRvM+iPgj4U9Ja+XfQE0I91lZP+Ed9yz+sIgWeYSUg3HAeTn8nY13gtI9tRnjRGkaY5KpdRY0QaUCLQJFQS4duAXa72+ipSjUR5jAmCIAiCIAiCIASEmQSaRJTnzAhDuw7cCoSkPuSD2x88VEcfret+N8KdaDw+bfO0OzW0mp4z8ElaVdr5Y7uOrQiFLU2Eg4bj1aB9Wvcpmh2Y4d0AnB5as8JGe2A8yoNjL+gFoG8DfTtQjKpSNRZI8jrnb+As0OIl0bQxsW8wnxfj76C+XEXgEWk2GdrdIs2AIMavjSKUgNYRuBJPrpzahBoLcHsIxhUEQRAEQRAEoYlgFoHG7TnjT5y5BZVUNiQ4q5y3AYma5jcfsAWd1hraw9Qsd/xxmiPtAhFngqbYcPxFgOcZ+zU0p0i0yUSVEW8PpPh5fi7QB7R4qshQaTgOMOwLUHOBN4F+3uoSaRYQGpEG1Gt7HVV57Bzg+zr6XgO0DdG4giAIgiAIgiDEOWYQaBKB2cC5hna3OPNsqAbK3ZLbHBhDXXkk/Oo2fJC1P0s8ZxqGccEcoBCh7cB3cd66tp4moRxVPeg24ANgRy39nKhKTf9FCTMjVP6duMLoNZUcxLlGEct4rbr4EyXSbDS0uz1pjgviWvXhrvw00PWYR01vmiTUHCYIgiAIgiAIglAv0RZoEoH3UTvR3ujAzYRQnAFIciaNQeW08C/D+ENjXtb+rEtu6HeDPZS2NCGMZaODyd3jHe5iDJsxGZoO2krQngDtQtByUAmvDwF6ozyADgcyQDsStJtA+yWaFocRo6hSV6JfI8YEw8EINFC7SJOJ8qQ5PsjrBcK3KIH5SOAlfD2IbsE3UbYgCIIQB5SVaezYkUBpaeC3lIIgCIL5sds1du1KYM8eCxUVkZ/jgwk9CDVJKHHmn4Z2HbgJ30o+jSZ3S24yOrejdrkDEqZ0dDRdO/pAywNDUIs7IXh+NRw3D+w03YrvYn1fiOyJIFoVKqnsrvp6xhn7gRI8+WNygjj3MMOxsex2IPwFnAwsRpVxd5MJzEeVwf6hAdetjz+A64B7UHmzbnaNOQx4NwzjCULMcuCAhZUrbaxZYyM/30JlpUZKik52tpM+fSrp189OcnJsF7XbutXK7NkpLFyYxN9/J3DggIXWrZ3k5FQxbFg5F1xQRqtW9eUbF8zEd98l8vbbqSxZksSePZ5byWbNdE46qYLzzy9j2LBy/EfRC0LTwOmEP/6wsWqVjU2bEigosKBpkJnppEuXKvr3t9OpU1W0zWwUdjssXJjMhx+m8PvvNnbtsmCxwKGHOujTx84FF5QxaFCFzAUmp6oK1q61sXy5jRUrElm1St2TFBX5SgWHHeagX79Kzj+/jMGDK7CE2cUlmgJNb+A0Q5sTlbfh1VAPlkTSVUCrYM7RlKNNe13X5+dtznvPYrFMndhx4tpQ2xbnLMZ3sd47wPN64SukbQ2hTUJY0ZygrwOOdTV0DuLkTobjhn7edgFDgEXAEV7tmaj8RmcD3zTw2oGMPQXIQ4kzn4RpHKHpkIgqH58GFAAHCLzku2nYtSuBDz9M4bPPkvnlFxsOR+19MzOdXHZZGePGFdOsWWy9VKcTZs5M4z//aYbd7nt3np9vIT8/kRUrEnnssWbcc08Rl19eGiVLhUApLLQwdmxzFi5M8vt8cbHG/PnJzJ+fzMCBlTz2WAHt2tXxBhcEXzJQc7wdNcfH3KTgcMDSpUnMmZPC4sVJ7N1b9wq2f/9Kbr/9IIMHx172iG3bEhg7tjk//WRMmwibN1vZvNnKBx+kcMopFTz+eCFt28b2XOCwJ7BzbWsO/JVJeXESCVYnSekVtO2xh5YdDkTbvEbx3HPpTJtWv6P79u0JbN+ewocfptC3r50ZMwro2jV8ImM0BZqfUKFN81B5Jxwocea1UA80S5+VsHHLxgkaWsDeM15YAHT0kU6n8+K8zXmL0Jnp1JyLp3Sekh9qW+MPrQz0z4ALXQ1ng54KWn1fPhcZjr8KuWlCOFmNR6DpAT0k9fcAACAASURBVHoGaEUBnOedJ2Y3aHsaYYNbpFmMr0iTBnyKEk++bsT16+MgqjKdIARLGqpy3Zmoz8SRqJBJN6XAclQepFeIAQ/DjRutDB7cCmeADiOFhRaefTaNefOSee21A/TsGTtRxpMnZ/L6675RuUlJOi1bOtmzJwG766UUF2tMmJCJ3Q5XXx1z67EmQ0GBhXPOacnGjb63zO3bOzjkEAfFxRY2bLBS5bpXX7o0kQsuaMnHH+8lO1s8pAS/9ERtFJ0G9KFmQYEtwFLU/P5lZE1rGHfc0ZxZs/zVwvDPTz8lctllWVx9dQn33VcUdo+EULFli5Vhw1pSUOBrcKtWTqqqlHeom2++SeL889VckJUVe3PBrnWt+Ob54/l9fnfs5f4lg4w2B+l74W+cct0ykjOCyWJhbhITdVJSdMrKNCorfTdaVqywce65LZk1az+9eoXn3iSaAg2onexzgTmosKbXwzHIpq2bLtTQjDvzQeHyptGAIWgMtWBh+ubpa52ac/LkTpP/FxJD45fH8Ag0zVHeBVNq7653wDe56t+oRbYQO3wOjHb9nACcAnxc9yl6Or4CzechsCMfjyfNkV7taSjPln8i4p9gHg4BHgTOp+4S86moz9QpwP8BdwIvhN26RmC3U0Oc6djRwYABleTkOEhLc1JSYmH5chtLlyZV9/3rrwRGjszik0/20r69+Xch33gj1Uec6dDBwX33FTJ0qHJ1t9s15sxJJjc3o/oG/957M+nRo4oTTjAWwBOija7DmDHNfcSZAQMqeeCBIo480nNjXlBg4ckn03n++TR0Xe22XnNNC/73v30S4iB4cxlqvj6mnn6dXI/RKIHmamBbeE1rHBUGR5jkZJ1jj7Vz1FF2srOdaJrOtm1WvvgiiZ07EwD1+Zo5Mw2rFXJzA9nDiy5lZRqjR7fwEWeuvLKU2247SJs26vtp61Yr06c3Y968ZNdxAtdf34LZs2NrLljy0gAWPDQYR1XdyllRfjpfPnMiK97vzaXPzKHDsbXVSDEvyck6xx1XycknV3DccZV06eIgM9Nzw/LXXwksWpTE00+ns2OHeu8WFFgYM6Y5ixbtJTEx9F6+0RZoABaiQiDCVslG07WJOnpDvGf8UX0NJ87uFt3SLgTXjHO070CfA5znapgE+n7gMRUO443eHVV62jv/zDTQ4keWbRp8jHLVde/6X0W9Ag2j8K3iFCrhMx+1S+VPpPkYGE6M7FAJcU8XPMKmETvKK6sZvt/dzYDnXedOCKt1ISAry8moUaWMGlVGly7+3YPXrrUyZkwL1q9XL3PvXgv33JPBq6+a25W6uFhj+nSPq3ROjoN58/b65Jmx2XQuvriMo4+2M2xYNqWlGlVVkJubwfz5e01zA791awKrVtlITIQzzgjv1++uXQmsX2+lsFC9+MMPd3DEEebwmFq0KImvv/aENZ14YiVvv72/xg158+ZO/u//imjTxsHUqer25aefEpk7N4URI8oQBBeXU7s4U4zaCE43tJ+Kyps3CFgfPtNCw8CBlVxySSlnnVXuN4+Y3Q7//W86Dz3UrFqIf/HFNIYPL6NvX3N87mtj5sw0Nm/2fP1OmFDMbbf51rLo2LGK//73ABkZmbz5phLrv/sukU8+Seaf/4yNpcz3r/fl02lDfNpaHlZAl5O3kNGmGGdVAns2Z7Huq85UHFTzY1F+Oq9cdTE3ffAGrbvujYbZDWLkyFKuu66EpKTaRZacHAdXXlnKeeeVMXJkS379VS1tNm2y8umnyWGZ483iUBY2cWb6luln6Oh9CM1rdf/1KoE3Ekg4YlLnSc+E4LpNgRvxlNy2AI8Av4H+AOg3gH476O+pNrp7nfc/QlzNS4gEWgGq3LibEaDXUeZaTwcmezXsQIUhhQq3J83vhna3SHNqCMcShFBwEJWPbSQq0XYikIXynjkZJWR7829XX1OSmqozeXIxP/64m7vvLq5VnAHo2bOK2bP30aaNR9hYuDCZv/5KiISpDWbmzDQf9/Zp0wprTQLcvXsV//53cfXxqlU2FixIDruNgfLVV0nccEMLxo8PpghfcBQUWLjyyhb07duaUaOyuOGGFtxwQ4ugwiTCzcyZHkc2qxVmzCioc7f0+utL6NvX4wn1yCPGtbYgVPMbMAk4AbU5lYES3A9BeZF7r43aou6HayY9MQkDBtiZN28fs2bt47zzympN8m6zwdixB5k40TP/6Tq8+mpdTqPRp6xM45lnPDb27m3n1lv9FxrVNOURdOihHq/PRx+NjYKexbvTmf/QoOpjS4LOuf9ZwB2Ln2fEfxYw5JbvGHrbEi55ci6Tvn2WXmf9Ud234mAS86YOjYbZDaZVK2ed4ow3GRk6Dz1U6NP21Vf+85I1FrMINOHDyUQNrXG+RxpOAF3TD6Az1Wa3tbur811XTOw8cV1IbAwZug30fqDfCvrboC9VyVr1AtArQd8D+krQXwT9n6BH8G5X2w2cha/6fyRqUf4cMAO4GN8vn3eBS2ns30+IFvcC7lVYAvA26H4SBuvJqPBG7zDE/6j8RSFlN8qTZpWhPRUl0gypcYYgRJ4dqCpgh6Dc2me52tzYUbkJRgB3Gc59ELUDazo6dHBwyy0HSUsLbDpv1crJTTd5bn51XSWgNDNz53qEhcMPr+K00+pOfnn55aWkp3t+H3PnmkegiQTjx2eycGEyFgsMGlTBJZeUcvnlpT4CRzSprNT44QfPLcnJJ1dw2GF1h9lpGlx+ueera/NmK6tW2eo4Q2hi6CihpT9wNGrO/gHwdq3YBTyDyk2zwau9J+o7wZRcfXUJ/foF/tm98caDPiL8kiXmnt+/+SbJJ7Tp2mtLSKhjFZWaqvskgF+3zsratWYIXKmbVZ91p7LUM+8NueVbjr/sZzRLze/u5GYVXPLkPHKO8hSr3fx9Rwp3ZtToGy8cdZSdli0979udO8MjpZj/ndII8jbl9dc1vTE74yosSudPTdMeq0iqeDH30FyTZvLTO6G8A1Lr6JTtevQBrgU2gX4TaKHI9REA2gbQjwFygX+5bPHHauA+YLaIM+FGfwWVB8qI97Zfpiskzche0LrVfm1tPej3Ag+4GjoDy0F/DrXALAWOQuWf6uF14hfAy4G+giBxizSLXGO7SUUlXB2O5DsSosevqFClQP2gp6O8v/7hOu6AuvFfFnrTIs/Agb43+zt2mHdPaevWBP74w3NLNWJE/aWW09J0hgwpZ948JewsXpyM3a5hs0X/a6979youv7yU1NTw2LJ/v6XaY+ihhwq55BLz3Vpt3ZpAebnnjxjo4tPY79NPkznqKHOHbggR42qUR28g/I0KifrRq+1CVEhrzGOzwXHHVVbnatmzx4LdrtrNyIIFHgHJZoOzz67/a3rEiDIeesjjOTN/fjI9e/r3ujELf/12SPXPmkXn+CtW1NnfkuDk+NEreH/CMEBtpvz12yFkHmL+nEINJSXF871oDZOSEtcCjWbRJum6rhP8jqITsGhovwGPlW8rfzv31Nzw1dIKDTbqFmf8cTgwH/SbQftvGGzyg1YGTAT9bpSbfmegHaoU927gO9A2RsYWARXi06KePlotfQL4TGjTQD8MuMHV0IKau/7erAQuAi2cn7c9KJHmC3zLvrtFmnNQAo4gRJqG3NHMxCPQgBIe40Kg8b4JMjsrVvhGHgwYENhi/rjj7NUCTXGxxrp11rBVhQiGE06oDGvS4k2brOiuP+9JJ5mzzO6+fb6CYOvWgVVhad3a18tm5UqTrjiFaBBs9ddlqM3XXq7jXnX0jTlqhkFpeLJJmIvlyz1zfK9e9oDE644dHbRp4yQ/X80lxu8JM1J6wOMJmtaijLQW9Tuzt+nmm3OmZL95wlRDTUGBhV27PK5T4aowGbcCzbRN07rpuj6C4MQZ96dtsYb25KTOkz4Kg2nhpgT4BuUF8DuqVF8xSsBpC5wIXI/HY0EDngb9F9C+j5yZmt1lo3grxD3ajaAvAR4F2tTSqRzl0jsFtEjcre8BBqOSlPf1ak8F5qG8ir6IgB2C0FiMgnZWVKwIA5s2+fqPH3qoecuUGksw9+gR2E2bMRnuhg3mEGgagsMBe/YkkJrqJCOj7sVLWZnn1izQsLdIY/SA0gM0U9d9T9ywIW5vtYXIsB6PMNMymoaEms2bPXN8q1ZOU3gP+sNuh23bPJ/jYBblPXvayc9X3jexMBckN/MI805HYF6rDrvvd3VyM3OK7qHgqafSqXJtIVsscOGF4UkCb/53SgPRNO3fBJBjR0dHU//sOvq7mkN7cFLXSasjYGKoyUctOL8HrbZtr23Aj6A/DTyNEmpA/Z7uA04Pt5GC6ZiEioFuCEF4uWhvuZJAn44SCdujRMNdqER5/wOtsI4LhIMDLns+B/p5tXuLNAsjbJMgBItRkNkXFSvCgHdOF4CBA8170+ct0CQl6WRnByYm5eT4elsYhZ5o8fHHyTz9dDoZGTqzZvm+pX75xcakSSp58Lvv7qeoSGPatAzmz0+istJdiamKsWMPctFFvjevr7+eyttvp1Jc7BExRo7MqnYTT0/Xef99c7yFmzf3/Rvu3h3YYsXYb9euBIqLNZo1M+fiUzA93nN87JTHqYc//0xg5UqPR4mZ5/ft263YvTQZ7+S/9dGunafvjh0qbLK2BMpmoP3Rf/PrRz0BKC1IZu/WFmR3rLuC4vafD63+WdOg/TF/h9XGaJCfn8ATT6Tz6queYJUxYw7So0d4HP7NcScQYh7a8lBbp+4c7cSJVrsDjQpj0rQSdF7WHNrDk7pO+iuCZoYYrRD4OsC+dtBvQZXsc1dMOhX0DNDiN2hQ8IO2OYJjVQGfuR5m4QAqPMQo0qSgwp0upP7y4IIQTU42HBuTYMcka9fafASagQMraN8+8JviSOOdPLJ1a2fA5bKN4TDeVaCiyd69Fn77zUaLFjWFpoMH1XMAP/9sY8yY5hQVWUhO1klO1ikv19i0ycq4cc3Zv9/CDTeUVJ+bn59Qfa6bNWs8xxkZ5vGS6tjRgc2mY7erP2ag4Qn++hUWWmjWzLzvX8G0pOHr5RsX8zvAgw96ymwDpsxD5cY4L3snN64P775Op/quaNvWvHPBMSNWs/Cxk6koUfPYF4+dzKgn5tXav+RACktn9q8+7jZoEy1yIr3fGjpeeSXNJzn8vn0Wdu60sG2btfr9arPBuHHF3H57+PIJmeNOIMQ4dMd4HT2pFnHG/UnZi87UCipy7up817iJXSfGsDjTEDQ7MMerIQHl1SAITQ23J81PhvYk4H1U4mBBMCNpwDVex9uB5VGyJWRUVmqMH59ZvWNpscCUKcV1nxRlSko89xvB7I7abL5JBktLTVmEq1ZuuaU5HTs6mDt3H5s27WLjxl188cXe6jCt6dOb+eRyufXWg6xdm89LL3l2ZL/9dg9r1+azdm0+y5btifhrqI3kZJ1jj/Vsmy9ZksSff9Zd/FLX4c03a+ZfOHgwtv6ugmm4ClV6282HUbIjpCxYkMyHH3o+J0OGVHDSSeao3uYP7/kdgsuPZuxr9jk+LauUEfcvqN5k+PWjI3jv9uEU7qpZJnzLsva8MOoyilzPNWtVwoj/RKjuTJj4+WcbH32UXP347rtEtmxR4oymKSHx2293M378wYA3YhpCND1omqNuLpOAQlTulEArV9RK7obcDOBGVD4Z71+dOtZZi4UnK6h4PbdzbqPHi3GMrpIRLLstCKaiAOVJswAY4NXuFmkuRHnUNJQM1HyXgsoJVYKqYiUIjeE+4FCv4/sxa4bFIJg8OYNff/V4Vdx660GOPtrceVm8b7qTkoL7E6Sk6NUhP7G2kM/M1Jk9e191+I6mqbw6jz9eyOmnZ1NRoTF/fjKXXaamO7eXjXfemYwMJ5mZ5vGc8Wb06FJ+/FHtplZVwR13NOfNN/eTmOj/b/zSS2l+PWiMCzxBCIBDUHO6m+3Aa1GyJWS4vevcZGY6mT7d3B4XRlElmDneKNDEwhx/zLmrsSY6+N/dZ1ByIIVf5h7Jbx8fQesue8loW4yjMoG9W7J8RJuc3jsZ9cQ8mrcz99+yMeg6vPtuKn/+aeWuu4ro0yd89yWREGiORJUB7Q10QyWnrS1RaCWwCfgDlRTrW1TC24D/2kmWpJvxVZt1QNM07Ssd/aFJnSYt0DQp3eyik9fPVaiEwoLQVCkAzqRmuFMiMAs4D5hfzzW6oHJBHYua77oDObX0dX/m1rkePwJfoRIYC0J9DAdu8zpeBrwSJVtCxhNPpPP2254Y7+OPr+SOO8ztPQO+CWUDTSbrxtvNPyHGtkluuumg39wqRxxhp2vXKtavt/qEMMUa55xTxvPPp7FqlXoNS5cmcvHFWdx/f5FPMucDByw89VQ6zz+fBqj3g/f7ICkJQQgGG/AOajPbze2EYCM7muTnJzB6dBZFRWrCTEiAJ58sqJGLy2xYDPEmwczxDsNLi5U5vtdZf9Bt0GYWPjaQ717th9NhYde6Vuxa18qnX1qLMobdvYhjRvweVo+SSHH11SWcfrrnY1ZYaGHrVitffZXImjU2dF19D5x7bjZ5eYXVmw+hJhwCjQVVwvZy4AxqF2P8kQj0dD3cOFCld98H3gJ21HZy7pbcZHTPDauO7tTQZuPk4UldJq0AuKvOCr9NCT0LuNir4XPQzH8XLAjh5QAwFOVJc5xXezH+5x4NOAEYDQwjuDBBK9DV9finq01HxZjPAd6kZoUeQQC18fEmnjDlQuASgkrcbT5eeimNBx/07K/07Gln5swDPiFAZsXbI6SiIri71PJyT//UVHN6ktTGccfVHpbQrp2D9eut7N8fu3ftViu88MIBzjknmz171Mdt2bJE/vGPbNq1c9C2rYOSEgsbNlirF2KZmU6GDy/nzTc9QqNZPYQE0/IUKk+km+eJ8fCmffssjByZxdatSqHQNMjLK+T0082bHNiNsaS295xdH8a+Zq1aZ2TbynZ8Om0I21e2q7NfyYEU3p9wNhu/7chZk74kPbukzv5mp08fu1/PmLvvhkWLkhg/vjl79lioqoKJEzPp1KmKE08MfXheKG97WgJjgX9R+45xQ0gA+rseecAi4DH8JBpN0pLOQqc1OmVovOywOGbc0/Ee8Qqpgd4FJXa5ZdByVDUfQRDUYvcMPCLNHpTo7J2crxlwg+vRJYRjayhvw97A/wHfoW7UZuPJnyU0bbqgvLwyXMeVwKVABBN+h5533knl3nszqo87darinXf216ikY1a8hZVgwlnKyzWfHVbjQsDs1CU8pKer11JVFbsCDUCHDg4+/XQvN9zQgpUrPd5AO3YksGOH73Z4x45VPPtsAR9/7JuHRgQaIQgeQN1buPka5T0TsxQVWbj00izWr/csO6dMKeLyy2Mj0tsonAeTR8bYNxZE+OWzjmbOlDNxOpTtqc3L6XvRrxx+wjaaZZfidGrs29aCNQu78vtnPXA6LKz8sBcblnTi2jffoXXXuCk25sNpp1Uwa9Y+zjxThe86nTB1agYLFoT+9YZCoGkNTESVbE4PwfXqwoJK5nk6yqvmfrwS3VrKLV84k5xX64n6R5NzJpujTmPU0NsDZ3k1NEMJMv1Rqrz7rmIfMAq0uMkMLwghwC3SvAVMxiPOZKBulMZSs7xxqNGAk1yPqSiB+g1EqGnKtEeVfnfnnXEAVwKfRs2iEPDee6nceWdmtdv4YYc5eP/9/bRuHTtv9VatPLbu2ZOAwxGYK/vOnb6dYuk1A3Hh0h4I7do5+OijvXz+eTJz5qTwww+J1eW0k5J0evSo4vzzy7j00lLS0nSeespzO9ymjYOMjNgS3oSocQ/qnsPNMlQ4a5n/7uanqEhj5Mis6jBBgDvvLOamm2LH08I4L+/aFXickvccb7PhtzKemdi6PMdHnGl/9E6uePH9Gp4xOb13cvTwNWxZtpLXr7uQ8uIkivek8dp1FzLu05kkppo36XNj6N69iksvLeWVV1Q466pVNjZvttK5c2gdmBsj0FhQyXjvB1rU09eOqpCyGpVbZjNQhMr5oKMSZ6ahEmJ1Q7n8H0/dnjjHotz9FgE3A+sm9phYDLzaoFcTfxyFcomsje2oxefjoO2OjEmCEFMU4gk9AhVC8gi+SVkjRXfU3HYzcBNxUKlHCJp2wJdAR9exDowB3o2WQaFgzpwUH3GmXTsHs2fv45BDzJ2TwEjXrp6bs6oqdQPfrl39r+Gvv3xv9L2vI5gLTYMzzijnjDNUfgK7HcrKLH5Lg69c6UkUfMwx5k5wLZiG21CJ392sAs5GhVjHJCUlGpdfnuWT9H3s2IOMHx++8sThoF07BykpOmVlSrQwztt14d23Y8cqbCZPyfVZ3pBqcSa5WQVXvDSb9Ja1ezp1GvAn5+d9xtu3jABg//bmfPf6sQy+8YeI2BsNBg2qrBZoANasMY9A0w0V/96/jj4HUDeOHwFLgIZ8GruivGUuQe0i+9urOQ34DfgPMA3ZXQ6ULNTvtzMgAo0g1M6hKHHk9CjbAWrO/REV9jQRMH/wthAK2gBfAIe7jnXgVuDFqFkUAj79NJlx45pXh/i0bavEmfbtY0ucgZrCym+/2QISaLwXLv6uI5gXmw1stpq3nGvXWsnP92QVHTAgPneShZByMzDD6/gPVGXJmI0GKCvTuOqqLJYv94iV111XwqRJsac3WSzQpUtVtRfQb78FprI4nfD7756+XbqYe34v2JHJ9p89e5B9zvu9TnHGTa+z/qBF+wIO/KlyWv/2cc+4FmiMIavhqNJnqb9LDS5F7d7WJs4sQyWfPQS10/sZDRNnADYAzwIno+LuH8K/kpyIEmg+B9o2cKx4YzvwgtfjVVRODfdkn44qHfwd6HmgNxFHZUEIijOAnzGHOOPGAoxDVbk7vJ6+QuyTjQpr6uHVNh54JjrmhIbPPktmzJgWVLnuV7Oznbz33n46dow9cQZUtSnvkCZ3aeb6+OEHT782bRwcfri5b+CF+nnnHU9yYKsVzj8/ZqNThMhwLWrTxX0fvhG1+bwrahY1kvJyjSuvzOLbbz3z2zXXlDB1alEUrWoc3olgN2ywsm9f/Uvo1att1RWrAE46ydxirbFC02F9/g7oPE2Dw47x9M1f1yroaoaxRH6+rwdVy5ah9w0JRqCxoJLzvoVvGWs3y1Fq73GohJah3tndjNox7oByAfT3jXcaKjdNnxCPHYNov4N2g9fjatDORAlYF6EEHFBfCJNQCUkFQfAwEZXbo3W0DamFvsAK1LwnxCfNUaXdj/Jqmww8Hh1zQsOXXyYxZkxz7K7Ij5YtncyevS+mvUdatnTSr5/n5vt//0upfn21sXu3hSVLPPWXzzyzokY5VyG22L49gbfe8gg0p59eTps24tgt1MqVqHQE7lX8dtSGUGArYxNit2tcd10Lli71iDOXXFLKfffFrjgDVIc2giqz/eGHKXX0Vrz/vqePpsGZZ5q7SnplmW9gTTB5ZJLSPX2dDguOyhgov9hAFi5M8jnu0iX0G0uB3grYUMkpb/PzXAHKNe841C5fuDkA3IsqM/qxn+cPAb4ChkTAlhhEqwLtfWAAKh+Qm7td1Z0EoamjoVyNp9MwL8NIkgl8gvJaFOKLTJRXaF+vtntQyaJjlq+/TuJf/2pBZaVaj2RmOnn77f107x674oybiy7y7Bvt3m3h3XdT6+gNzzyT7iPiXHiheFrEMiUlGrfc0rw6T0Vioh6T4RxCxLgYeAnPfcafwGBga5TsaTR2u8a117Zg0SLPAnbkyFIefrgw5hOK9+9fSYcOnoX4iy+m1Rnakp+fwHvveb4DTjqpkkMPNbeHaEqmr4B0cG9aLT1rUrzbkxjdlmLHmmT+7/SqBpj47beJzJnjEd66dauiY8fQv9ZAFh82VDLeS/089x2qHOyzRD73yxZUZvPrqOlNk4Ha+T7LeJLgRstH5TBwY0WVSBeEpoyGCgmMpZKWScA7wFVRtkMIHRkoccY7lPg+VFL+mOWbb5K46qoWVFSom9qMDCfvvrufo46KjySqF11U6nOjdv/9GbXmKliwIJmZMz03v0OHVtC3r7nd35sq8+cn88MPiXW67K9ZY+PCC1v65NsYO/ZgTHuFCWHlQlREgtvN4C/gVNTaJiax2+G665r7eBdcdFEZjz5aGBeegQkJqvqUm7/+SmDChEy/i/zSUo1bb830CW+aMMH8Ym12xwM+x+u/6RTQeZWlNrb85Knrk91pf0jtChdLlyZxwQUtWbgwuXrTqDbsdnjttVSuvDILp5fiMW5ceBJe1+d/pAEz8a1k4uYxYAIQ7W+fl1BJM/+HSnjrJgkVajUUiN9MRY3jC1ROmpau4xOiaIsgmIE8VDx4rGFBJYzdh0rMLsQuaai/4QCvthkoz9GYZdUqm484AzB8eDmrVtl8yq/WRU6Og8GDzZsX22aDadOKGD06C4cDios1LrigJTfcUMKwYeVkZzvYsSOB2bNTeP31tOrkyBkZTu6911zu//362ZkypZjk5JqqRMeOVUyZohYbaWm1qxbnn19G7952v3l1OnXyXCM11dzJCn78MZHnn0+jTRsnAwdW0LNnFS1bOnA4NHbutPDtt0n89FNi9d8T4IILysJ24y7EPOcDb+NZg+WjUkRsippFIWD8+OZ8/nly9XGbNk6OPbaSt9+u25PQmzPPLCc727whgeedV8Z776WwdKkSoebMSeHPPxO4+eYSevWyU1UFP/+cyFNPpbN2rWeJfcklpT4hsGalRU4hrTrvZ8/mLADWLOzGthU5dOj7V53nLX76JMqLPH/7bqfEjs74/feJfP99IhkZOv36VdKzp51DDnGSkeGkslKjoMDC2rVWvvwyif37fZXGc84pZ8SI8Hi+1ifQPARcbmjTgTtQAo1ZWIWq8vQZcIxXexoqDOpEfMN5BAA0J+g78Ag0rerqLQhxzjhU3plYxQq8hwrvFFE6NklFhayd4tX2OOo7N6bZsMFKebnvDtVbb6XygfEuywAAIABJREFU1luBX+OMM8pNLdAADB5cwX/+U8iUKap0eEmJxowZ6cyYke63f2KizgsvFJguOXCvXnZ69fLv2ZST4+Dmm+sXH1RJav/PHXZYYNcwE/n5Fj74oO68E5oGo0eX8sADhT5JowXBxVkoccatSu9B5ZFbGzWLQoRRaM/Pt3DXXZlBXePII+2mFmgsFnjxxQJGjGjJunVqCb18eSJXX117UviBAyuYPt1cAnxdnHztMj6cfCYAulPj9esu5ILpn3LEP2ouo+3lVr585kS+ef746jZbchUnXLEiYvaGiqIijcWLk1i8OKnevpoGo0aVMn16+EL36hJozqfmTaGO2l2eGR5zGsUuYBDKLfw4r/aWKE+a4/GfWLipk+H1c+zMIIIQWk4EHo62ESEgBZiFSpQes+U5mzBXor7H3OjAucA5QVzjQ+DfoTRKCI6rriqlUycHt9+eya5dta/Se/a08/TThfTsGR8hXvFK165VZGc72bu37jiNI4+0k5tbZPpKLUJUeQHl4e/GBswL8hqnEcN5amKdzEwnH3+8l3vvzeCdd1JrDX20WuHmmw8yfnwxtsCcRE1B34t+4/f53avDm0oLknnjxvNp03UvnY/fTkbbYhx2C/u2tWD9150p2e/rIXX2lEVktjV/OBeouf2SS0pZuDC53vkdlEB3yikV3HTTQQYODO88X5tAcxjKXd6oC03AnOKMmyJgGLAE6OnV3hvl8XNjNIwyL3o7VFUsN39GyxKhSXEoUIpKMG4GWqBiwWPoK7RO2gOvo0JTzR07IBgx3iFoQGBB4B5M6QmZk+Ng+PDGVbA4+ujYETIGDargxx/38OWXSSxcmMTffydw4ICFVq2ctG9fxbBh5Rx3XGVc5GaIdy69tJRRo0r5/Xcby5YlsmNHAnv2WLDbNVq3dtC+vYOhQyvo3NlcXlCCKTF+4pu7HsFgynuVwYMrGp3svUWL2LhlSUvTeeSRQsaNO8icOSmsXm1j1y4LFgsceqiDPn3snHtuGa1amdcbqDYsCU4ue3YOs+4YxuoF3avb8zdkk78hu9bzrElVnDXpS46/7OdImBkS2rVz8Oijheh6IRs3Wvn5ZxubN1v5++8ESko0rFZo1sxJdraTo46y06+fnTZtIpPo2Z9Ao6Fu7rMM7U8Dj4TdosazD+VCuAJP6A7ADcBcVBiUoJiCrwi3IFqGCE2Kr1DC4DzUXDMfiObK6ymgYxTHDwdno7wdX4y2IYIAMGBAJQMGNC3PAptN5x//KOcf/zB3aVWhfiwW6N3bTu/esSMSCkIkyc1tek747ds7GDs2tkI1AyExtZLL/zuHtV905bvX+rL5hw44Hf5jeZLSKzh6+FoGXrOMVp1jIzmwEU1T3jRmSuruT6AZja+LNcBy4M4GjpGBykzeDzgayEGpxTqqZPYu1/WXAF8SmmpQ24ArUPlnvN9RTwG9gDi8W9IfBZ4AbXsAfa3A3cAYr8a9wJywmCYIvswGJqOqGFyIeu+9BbyBElYjySn4r1AXNpo3b05eXh4Ww9b5tm3bmDZtWiiHmo5Knr4nlBcVwsosGp8/SELbBEEQzMlZNN4DJoD7fEFoPD2HbqDn0A1Ultr4e00binY1o7w4CUuCTkpmOdmd9tPq8L1YEmLD8ymWMAo0majEwN6UACOBYDLzZQOjgItQuR3qS0Y8zPX/FuAJlLdOY32IPnVd6zavtsNRYVr3NfLaZmQMMA70Jagkkz+jEiMXorwTMoCuwEDgaqCb4fw7QTuAIISfB1BCcA5KQG2JStA7DpUo71WUYLMjzHbYgOeoGcoZVmbMmMHVV19do3358uWhFmiyUL/r60N5USGs7EEENUEQhHjlt2gbIAjBkphqp2O/uis5CaHFGAt5K9DG0HYfsDmIa16PWlg9hdqdrk+c8aYTqmLFUoKPu/fHFJQ3jTd3oHJOxCMJwGBUstMvUCp7ISrfxy6Ul1IevuKMDkwC7bWIWio0ZUpR1ZLcwoi3QNIdeBD13v0cVUUuLUx2XIpvrqqwc9ppp3HVVVdFcsh/oYRZQRAEQRAEQRBMjrdAk4bawfZmLcGX024P1F5vTHEQJRzUxvGocKfDghzbSCk1q1lkoISoeGNTA85ZAwwB7cFQGyMI9fA+SjQ0+kVavP4figp72osK/RiOEiFDgQWYFKJrBURaWhovvPACWrhq8vknAanoIwiCIAiCIAgxgbdAcy0qNMmbqTQ+eWc5KufEGOBIVBnYZqg8NGnA6ajFmnGh1gFVLrSxC7L3UeE+3owDUv30jWG0o1C/s2uBd4Df8c21o6Nc55egvJROBnqB9lVk7RQEQM0rM6k7vMj9XDIqV808lEfcA0CPRo4/IgTXCIqHHnqIzp07A+BwONi6dWukhr4SVTlLEARBEARBEAQT4y3Q/Mvw3CaUuNFQ1gM3oRYGF6NyPazBVzQoRYXiXASc6zr2pq8fu4JFB4yJHbJc48UZ2nbQXgbtUiXYaClAEpAJmgW01qCdAtrtoC0FTbI6CdHk4yD6usWaQ1EJhtei5pOJQOsGjN3YeSUoBg0axJgxnpzcjz32GKtXr47U8InAZZEaTBAEQRAEQRCEhuEWaI4Gehuem0HDEvVuRe3YHgH8F1WpKRA+QiUONXJNA2ww8iEqAbE3V4TgujGAVgla06t9J8QCywm+opoxX810YCewEPWZTgngGm2AM4Ict8Gkpqby0ksvVYc2bdu2jalTp0ZqeDdNZL4TBEEQBEEQhNjFncDXuLtaAbzbwGu+3HBz+BBYDAzxahuA2iHf3YjrOoE3gXu82oYCrai9YkZb6s+lI0SJt8a8lfavV32dILb+tLU1jc9bZMQYYtciDGM0ZdYAfWhYJSXvfDWnoT7TT6I+628AP9Zy3sUEl7y8Udx///106dKl+vj666/n4MGDkRreTS+UCC8VJARBEARBEATBpLgXKacb2j8B9kfYFjcf4CvQaKjcKo0RaEAt2LwFGitqUVebEPUpauEomJBty43FuWDx04vfiMDQua6HYC7cAk8mcLPrsQF4G3gd30p0xvkubBx//PGMHTu2+vi1117j888/j9TwRk5HBBpBEARBEARBMC0WoCU1w5s+iYItbjb6aWsVgutucD28OTUE1xUEwZx0Ae5FzSnufFoJqATZYScpKYmXX36ZhATlhLV3717+/e+oFlQaUn8XQRAEQRAEQRCihQU4Bd9kwaBKXEcLfzkkCkJ07cWGYxFoBCF+0b3+d+fT6oOqIBd2cnNzOeKII6qPx44dy549tUVURoRTCF2ZckEQBEEQBEEQQowFlZvAmz+pmVA3kvgrfftXiK79jeH4cAJLKioIQuyxEZiK8qQZ6Wozzndh4ZhjjuGOO+6oPv7ss8945513IjF0XaSjwkUFQRAEQRAEQTAhVlQlFG/WRMMQL0YZjjcC20N0beNrs6BEmt/99L0USA3RuEKIye6UnQos8W7rd3G/mzcs2fBDiIf6DN8yzg/T8ATaQk1eAo6hYUmCvdFd1yhAJQl+HfjJTz/jfBdyrFYrM2fOxGazAVBSUsLNN98c7mEDpRu++XgEQRAEQRAEQTAJVqCroW1dNAxxcRpqsebN7BBefwOehZyb7vgXaP4I4bhCiLl+1vXpxrbew3pvfOfWd1aGeCi74fgvINRjNFWsKMGgoeKMEyWy2oEFKFFmLlBZxzndGjhWwNx999306ePJL37XXXexZUs0nRJ96A7Mj7YRgiAIgiAIgiDUxIqvdwBAzfI4kSEJeNrQVgg8GsIxSlBltb1fs/H1C4IQGY4B0oI8xy3KAPyCEmXeRn2uAyEUCcdr5aijjuKuu+6qPl62bBnPPvtsOIcMFpnvhGDIANi0aROLFi2Kti0hp7S0tPrn119/nezsbNq3b09WVlYUrQoty5YtA6CwsJAZM2YA0KtXr+rk5fGAWwBfuXIlM2bMIDU1la5djXuP8cGBAwfcP8bPm1SIFtUbnfE4vwOsXr0agI0bNzJjxgxsNptPbsB4wD0nrP1iLYU7C0nLSqNFTosoWxU6DuyonvN49tlnSU1NpVOnTmRkZETRqvCwcaOnTpIVaGZ4viii1nh4nJr5Z+4H9oV4nCJ8FynG1y8IQmQ4uwHn7ABeA94A1jfg/LB93q1WKy+//DKJiYkAVFZWcs011+BwOOo5M6LU8DwThDroDDB79mxmzw6lM6v5ePXVV6NtQlgpLCzkkUceibYZYWXFihWsWLEi2mZECmP1VUEIlk4Auq4zevToaNsSVjZt2hT389+ahWtYszDaWUrCi8k2PMOKP4HmYBTsGAPcaGj7GngsDGMVG45FoBGEyGMFbsDXI8aI+7ly4COUKPMpnopMDSFsn/c777yT/v37Vx9Pnz6d33/3Fz0ZVeJvy0EIO0lJSSQnJ0fbjJCj6zpFRWpPqlmzZlgstU1FsYvdbqe0tBSLxUKzZvF5u1NaWordbicxMZGUlPiu+1BSUkJVVVW0zRDijMzMzGibEBbKy8upqKjAZrORmhqfaUWLi4txOp2kpKRUbxDGE06nk+JitXTPyMhA0xqbstK8OBwODh5UMoyVmosjZ4Tt+QfwhKFtDypJbzi2no3fbPHj5ysIscN5wKF+2t2ijBNYiAph+h9Q6qdvQwjLCqx79+7ce++91cfr1q0jLy8vHEM1FpnvhKC5/fbbGTt2bLTNCDklJSXVoTBz586lRw9/RSRjmzlz5nDzzTeTk5PDDz+EOoe+ObjxxhuZN28eV155JVOnTo22OWHl4osvZunSpdE2Q4gjNE1j7dq10TYjLDzwwAM888wzDBkyhFdeeSXa5oSFQYMGsWHDBh544AFGjTLW2Yl9tm7dyoknngjAd999F1chyEZWrFjB8OHDASXQHASaez0fSRf4k4APAJtXWwlq8fZ3mMY07iAbPWoEQQgvqahqWO6E3d6Ju9cCr6LyyoRjDgi5h6DFYuGll16q9jBwOp1ce+21lJeXh3qoUBCtEFZBEARBEARBEOrBihIooiHQHI8qYew9XhnwT+DbMI5rFGhkwSIIkWUK0MHreC/wFiq3zC9hHjvkguy4ceMYOHBg9fFzzz1n5h1OEaSFYFgLnBhtIwRBqMGyaBsgxDwNyeMnCEIEsAL7gfZebe0iMO4xwCf45oOwAxcBX4VxXBuQbWg74K+jIAhh4yKgAhW69AaqRHakgur3h/JinTp14r777qs+3rlzJ1OmTAnlEKFG5jshGCqibYAgCH4JVdiv0HSR+V0QTIoV2Agc7dXWLcxj9ga+wLdEoAOVc+aTMI/dGd9wKhAFWRAizSBUqFE0vDk21t8lcB5//HHS0z1OgGPGjKGgoCCUQ4Qame8EQRAEQRAEwaRYgXWGtnBmyeuG2i1v6dXmBK4C3g/juG66+2nbEIFxA+F44HBUqIcgxDM7ozi2cb5rFDk5OdU/V1VVcc8993DPPfcEdG6XLl18jo844giWL1/u0/buu++GujSkCDSCIAiCIAiCYFKswB+Gtm6oMKC9IR6rK/Al0NarzQlcA7wZ4rFq4yTD8d9AYYTG9kcHYDRwBer3YwfmEp1S54LQFDDOdyHDarXSt2/fBp+fmppa4/wQ57KxA5tCeUFBEARBEARBEEKHFfja0GYBBhNaj5YOwOf4ltXVgVtQFVsixWmG428iOLabDOAC4ErgZHzL/j6OiDOCEE6WoeKuk6JtSBT4EYk5FwRBEARBEATTYgW2A5tR+VncnEHoBJrDUJ4zHb3adOBW4L8hGiMQWqGSE3vzZYTGTgBOR3nLnA8ko7yH3OKME9gBTI2QPYLQVCkFfkDlwWk0xcXFHDjQsLy76enp2GyelFgOh4OiIt+icmVlZY2yz0Ck5jtBEARBEARBEBqA1fX/InwFmgtQ3i2N3W1tj1oUdDK0TwKeaeS1g2UUSijxZlGYxzwKFb40GmiDEqY013PenjMW4F6gJMz2CIKgPvchEWgGDx7c4HM//vhjhg0bVn38888/079//xBYVStfhPPigiAIgiAIgiA0DrdIMMvQ3gIY3shrt0OJM50N7ZOBhxp57YZwheH4J8KTjyELuB74FvgNuBNo7XpO89NfB4qA98JgiyAINXkX9blrSvyNmpOE2EVD5YdrEW1DBEEQhJCTiprjU6JtiCAI0cXtQbMY+BPl8eLmFhoe5tQGWIiqSuTNPUBeA6/ZGI4D+hna3gjh9ZOBc1GeMmeiPHWcXs/7E2a8n3sNFXohCEL42YASaAdE25AI8gbgiLYRQkAkAEcCJ7gex6K+U7PxbKo4UBXJvgdeB5bQ9ERHQRCEWCQLVbnV/eiKSsOQ5tWnAFgBfIIqpLInwjYKghBF3AKNEzUB3OX13CBgIBBsGZHWKMGnp6H9PuD+BtgYCox1bytQu+iNpS/KM+dy1IRbWwhTfYQ71EoQBF9epekINDqhFaSF8HI3kFtPnwTgCNfjGtR3yHXAlrBaJjSYXbsS2L/fwu7dFgoKLFitOllZTrp2raJVK+f/s3fe4VGUax++Z3eTTU/oKEhHARUQ0IN+gIigFJGODbsiigUbVY9YIICCR+wV9ZxjRUFUBKSJqFRRjlKkJaK00NKTbfP98WbbZDfZTbbMJu99XbnYfac9mwzvzvzmeX5P5TvQISdOGFi0KJGlSxPIyjJy/LiROnUcnHGGnb59Sxk5sogWLaQuLJFoOALEVbJOBqKxyeUIf8rHgBeRQrwuKSlR+PtvMcefPGmguFghOdnBGWc4OOccK3GV/bV1yoYN8SxcmMiWLfEcPmzEYoEzznDQrp2VYcOK6d+/lLg4eUqGA5PH65eABxHZIE6eQJjbBsMbiItGTwoQgo22lCpQPqHq2TwXAQM1Y+9RdTW6Ne7W2C3xniwrypTxh4osPZBIIs17iIueBtEOJAJ8A/we7SAkAVPR90gBkOJj/HLE98jlwM5wBCUJjt27TaxcmcCWLXFs3RrP8eP+n9m0bGlj1KhibrutkLS02LjY/eqrBCZNSufUKe/PlZNjICfHwPbtccyfn8IDDxQwYUI+Rq0DoERSe/E3x1vK/o3XjKcCLwBnI6obJFHGZoMvv0xk69Y4tmyJZ8eOOGw23+vGx6v06VPKbbcV0aNHbDTSzMszMGVKGosWla+2y8oykpVlZNmyBNq1s/HSS6fp0MEahShDj90OP/5o5ptvEti/38ixY0bsdmjQwEHjxna6dLHSu3cprVr5+WOHEE+B5hDiqfI4j7G+wEiCE0dSfYylAKOCDc6D36q4nQGYj/dkaAeeDXI/GcBohChzSdn+nFdRVRFlPCkEbqnmPmodz/V+zjxt4zSvsaWZS0cCHUN8KO3NUB/Kf3lK9I8DmOfxvgjR1n5GdMKJKDOjHYAkaEoRgsvKsn93AcfKlhkQKfFXAY8iyp8AzgD+i3goEf6rB0mFvP9+EgsWJFe+InDggIk5c1J5771k5s8/Tc+e+r6I/89/kpg4Md1rzGiE+vXtnDplwGIRl0U2G8ydm8Lx4wYyM3OjEapEolf+RFhBrAZ+QXhiOv/jpyOsGcYimrY4GY8oZ9WtZ2VWlonrrqtbpW2/+uo49erFRjZhUZGB8eMzAlrXYlFYtiyBZcsSGDasmLlzc0lI0K8Qn5+vMGRIPXbvNnmNp6aqmM2q18OGXbtMDB9ejyVLjnP22bF92bF8eQKPPZbG33+Xf5qwZ4/49/PPhWA1cGAJb71VtQ6ugWLSvJ+NEAs8s2ieB1YgjGxjjXGISc6T94C9AWxrBC5DiDKjcLfGdgoy1RVmnKQQvGBU67EUWsqNHdl15M4IHHpI2Y8ktrDjLdCA6CT3IMLbo6ayApmhF2u8iTDS9+dL5kD4z+xG+M+sQXjWAFwADAC+DHOMkiBJTlZp2dJGnToOUlNVTp82sG+fiaNH3Re7R48auPHGOvz3vyf5v/8r/x2nBzZtimfaNLc4k5qq8vjjeYwaVYzZrOJwwKpVZp54Io2sLHGJ+d57SXToYOXGG6XVnkSCqDLYU8HyXMR39wpE6eobHsumoWOBxmKB7OyqpcvZY7gaUlHgzDPtNGtmJyXFgd2ucPy4gZ07TVit7tvFRYsSyckx8OGHJ3WbVXjvvRle4kyfPqVMm5ZH+/ZCgDl2zMArr6Tw5pvJqCrk5SncdFNdVq7MISVFv8KTPxwOePTRdD78MCngbXJzg3ExqRpagSYLIdI84THWFHHBeE3Yowkt51Je+MhD1HEGwkJgqGYs/H8RiUQSKXKBycBb0Tj43r172bp1q+v9rl27Qn0ICzAh1DuVhJ2/g1g3B7gbWOcxphuBxuGADz4QFz29epXSrFn4rsBzcgxs2hTvKrkxmeDaa6MnCCQmqvTuXUqvXqX06mWhfXsrio/HOj//HMfTT6excaNIzLRYFB56KIN163Iwm/V1sauq8OSTaVjLstnNZpXPPjvBeee509sNBujXr5QLLjjB4MH1XTdrs2alMnRoMamp+vpMS5Ykkpen0KmTlfPPD1+afl6ewqZN8Rw54r4rGzasmORkff0+JBGhInFGy5uILJory96fj+iSG8z3hCQMtGhho1cvCz17ltKjh4X09PLZP/n5Ch9+mMScOakUFYkvgPXrzbz/fjK33loY6ZArZe1aM99+687RuPrqEl5++ZSXmNSwoYPp0/M46yw7jz+eBsCffxp5/fUUHn44P9IhVwtVhUceSeejj9zijNmsMnhwCX36lHLmmXYSElTy8hT27Ilj7dp41q5NqGCPoUMr0ADMAm4A2niMjUY8pXstgH2OIfQt4oLNI0pG+NZo5bApwOEA9/EuYhK8sOy9AynQSCQ1jXeAW4H/i/SBJ0wIu3YyF+lHUhtYj7c3TdMoxuKF3Y6rFOatt06FTaCZNSuVV19NcQkHAElJalQFmsceC+xCtUsXK598coIbbqjL+vVmAA4eNLJ6tZkBA0rCGWLQrFxpZts2t9vlhAkFXuKMJ/XrO5g1K9dV7nDqlIG3305mwoSCiMQaKLNnp3DggIlHH80Pm0Dz0UdJPP54GoWF3gpd796lJCfHcNqAJFJ8g1ugATHHx4RA88Ybgc/7derERnkTQFqagx9/rNzKNDVVZezYQs47z8ro0fVwlH3E995L0qVAM3eu26WkTh0xh/vL9LnttkKWLk3gp5/Ew4XXX0/mzjsLYsZHDUQpsqc4062bhRdfPE3z5uXP2R49LNx6ayGnTgmPtXDjS6Apwd0VwnP5C4gOEcsr2WegAki4MCHS/7RGxWuB14PYzxdlP+2Aa4GbgRbVD68cNiA7DPut0SiKYkCYNLswmU2HCX278uZ4/z84jsi8kMQW/opjVUQK8Wa8W1zGOr8Tva55ksiiIrzMnAJNbBeCB8mSJYnMny8+evfuFjp2tBIXpxIfQ05hcXEwZUo+gwaZXWObN8frTqD54gv3s7eEBJWbb6746/bSS0vp0MHKjh1xru31JtCEmx074nj00XTsdmjf3sYll5S6/Cdi6UZGElW0d/Ixo+qdfbYt5r1JQsEll1jo16+E5ctF9sUff5jIzTX4zLqJFn/9ZWTrVrfwcO21xWRk+I9PUWDs2EKXQFNQoLBqlfDZiQUOHTIyc2aa633HjlY++OBkpWVadeo4uPTS8PvE+RJoQKRLT8f7Aj8eUfbTF9gY3rCqjIIoVxikGT8GXE/VJrVdiN/FU0Bv3J40SYQmq8aO6HBVMyywI8SUTVNSAK9HlDe9cdMtU1pNWRHiQ/2FyKRy8jTCeFpSc9gJ3IPwp6oJFCKyHqXhQ+2gId7dyKpqqh9yDAYYP17ckIer68Fnn4kL3p49S/n445NhOUYk6NjRitHo9mE4cUJfCbtWq/CWcXLppaUVXrw7GTy4xCXQ7N5t4sABEy1b6ueGbcyYIk6eNHDhheHx/Pn88wTsdmja1M6yZTkx225XElXO9XhtRdyXSGKMzp2tLoEG4PhxfQk0nrEBDB5cudBy+eUlpKSoFBSI7ECnEXIs8OqryeTni7hNJnj++Vxdeej4E2gAMhFp/wM8xlIQplVDESVPeiIeUa5wg2bchii7qm5mjwPhtr4aYT48GCHWDEAYCldVrDEDXdCN6KUqiC4gFwPnIDpYgcga+QPYAPwEin7OYomk+rwP9EJkD8Y6dwM7oh2EJGJMxf3dY0d0ctIFRiNMmxbemvQDB8RlTNeusf2Mw+EQ9fBOUlL0c+EOsHevycsY8aKLAhM0tOtt3hynK4Hm7rvDW2bgNEoWmV1hPZSkZtIU706vixAlrZIYQ2uCnJqqrzl+82b3BJWUpPotX/XEZIIuXSysWyfE+y1bYmOSKylR+Owzd0Zo//4ltG+vr2uIigQFB+Ip7GbNeBqiHlJPpsHpCFNErTijItrUfRvi45UAnyJEmubAJLwV7WDFi54hiquaqKMR2QQbEN27xiHKu64F7kJ4WvwA7AH1xmhFKZGEgPNxi49O7kbMbbHM48C/ox2EJCI0RnQie8BjbBaiu1PMYrEo7N1rYufOOPLyKm+WWFIi1tFz29JA2Lw53uVPAPoTnPbs8X6e16FDYCLLued6fw7tfmINm010qfntt7iAspyc52diYmyfn5KIY0A8AP4O97VKDvBo1CKSVAunETxAs2Z2GjbUl0Czd697bj7nHBumAKfqc891fxccOWJ0ZaXomdWrzZw+7Z6/R43SX9ZPZb/+AkS50PeIbAonZuAjRIbNo0D4i7H80w3hOdPKx7KpwIIwH/9vREvUOUBXRFbNDUA9hFBT2ZnqQAggz4UxxkpQFeBVhAgTCK2B90HtB9wKSszUw0pqNQowEDFnXYrw1fJ06rUiyhdXAt0jHl31eRnpO1MTuQuRZQkiWzMD4b/Vqew9iHP3aXT297fZoGfPhgBkZubSu7f3pcKIEfU4dMjI2LGFXHddEZmZqXz0UZLrAs9ohL59S8jMzKNxY/fXzNGjRoYOrQfg6orz2mvJXm0yZ8zIpU+faF76nGrPAAAgAElEQVSaBE5BgcJTT7lr4Rs3tjNwoL78Z/bt875cbNIksK/9tDSVtDTVJbZ53gTogdGj63HwoDgHtaadjzySzg8/mOnXr4Tp0/N47bUU3ngjmWPHxIW9osCFF1qYOTOPDh28hag+fRpQXKy41l22LIGLL27oWn7HHYXcfrv+TEIlEacRwkLBSTLi/uGCsmVOfkM8GP8zcqFJQsWSJQl8/727RPS22/T1f19Vvef4M88M/LbO87vAuZ/OnfX1gEHL1q1uscxggO7d3dcKVqvIzD161EhcnEr9+g5atbJhiHDVcSDflDnAZYgny500y+4DeiAuILWZNuHGjLjReqzstScqMJHIix5by34eQvzOnH41CfgvgTIghJ1uwJbIhFmOaXiLMypuk+SssrHmiIyhYbg/x43AwbLtJRK9Eo/woHoUb/NwX62ICxHdEhYj/g/HCvOAR6IdhCQs9AVG+lnmQPiuZeKeq3WDquJqs+xsMerJoUNGsrONHDliYMSIemzbFkd6uoPWre0cPGjEYlFYvjyB3bvjWLEix1Uf7nDA6dOK6zWITAXPEiGrVf9P8XJyDKxebWb+/BRXqVZCgspLL53WXUaQs325k4YNA7+Ab9jQTl6e+HwnT+rLW+fvvw1kZxtd55MnOTni/MzJMTB+fAZffJFIUpJK69Y2jh41UlAgWmcPH16PZctyaNHC/TvJzVUoKlKw2cR+LRa8jlFaqv/zUxIRMhCZ/v7Yj7jP+ZQYNID//nszn3ySyIEDJgoKFNLTVRo3ttOli5UePUqpX19fWSShxGoVJuEffJDk9fCgT59S3Qk0RUWK15wUzPzeqJH3utrvCj3yyy/uUqw2bWykpqrk5hp4/vkUFi5MLPc9Va+egyuvLOH++wvC1o1SS6CPMg4jnjh/UfavJxcgSmLeQJjpHg1VcBUwCHFDcraPZVbgNuA/EYjDH3bEU/iViPTz0YguUBeXLdeKNSrwMHBdBGN0HroBItPIiQUYAcpXPlZ+D9QrEDevzuK9R0B9FZS/whyoRBIs6Qjh8UFEOYjzSkAFfkZ0qvNFHiK1+L/AiDDHWF2iJUZL9IEBuAM4EyGUb49uOFXjnXeSiYtTeeutU1x5ZQlGo8i+WbAgmSeeSCMry8ibbybz4IPCeuGMM+zs3CkuNS66qCF//WVkwoQC7r9fv9YM99yTwbZt4qmd1Qr5+YZyqeCdOlmZMyc3bO2eq4O2RXQwJTue6/oS6vTOypUJWCzwzDN5jBlTRHy8iqqKrJh77skgL09h9uxUXn31tGubrVuPATBmTF1WrzZz9dUlvPjiaX+HkEj80Qpxv3MWwnpAf5NDBTz+eJrfZfHxKiNGFDNxYj6NGsW2ULN9exx33VXH9b6gQCEvT/F6UJCYqHLHHYU88khBwOVDkSJU87uvfemRAwfcvcPPOsvO1q1x3HlnHVdGrpYTJwx88EESCxcmMnt2HtdcE/4eHMHIXLnAFYgONtq/nAHhV3KgbHmzkETnjRFhTrwZ+Arf4sxBxFPvaIozWk4h2ntfArRFpDI6UxRV3GVQ1xCdJ/aDcYstALP9iDNlKCuAJz0G4hF/F4lELzRGiMXZwGzcacLO+U5BZBxURClCWH0c/ba0PAkMQYozNZ15iHNxNCJr8V7gRYRpO4jz+ipgE6JcNuYoLFR4++1TDBwoxBkQ5oN33llIjx7CZHbp0oQK9qB/jh0T2RjZ2UYOHfKu04+Lg3vuKWTx4hO6FGfAW1gxGgnK8NbzAr6wUP9PV7UUFio89VQet91WSHy8+CyKAgMGlHD99eJCfcWKBGwxl98g0QGHcM/vo4E7EQ9NF+O2j2iMuJbx9KOJeSwWhQ8/TOKKKxqwYUN85RvomNJSxTW/Z2cbOXHC4CXOnH22jY8+OsmUKfnExekrOxLKC+cJQXzdarM9Y0Ggyctzfw8VFyvcfHNdlzhTt66DQYNKGDOmiKuvLqFBA7d4aLEoPPhgOh98kFRun6EmWA3PgsgIWQu8DdTRLE9ElD2NR3Q7+jdCTKlq70sF6IzILLke73bHWr5COJ2fqOKxIsFe4AnEzWNPRAnUaCAV8VlfQbTTi6SU3F7z/oMAtvkPwozSSQd/K0okEeR8xM3rLQjh0Pmt4flt4UAIN4sD2J8D4enxPSKbpqL5J9L8iJgXZT16zecnP+MKooT2NcR3sRnxnbsfIdbEDF27Wrn4Yt9dgfr3L2H9+nj++CMOVRU3xjUNqxVeeSWZhQsTmTYtT5eGhZ6/dzXI+wtP82ODQX83J5WRkeHghht8PzEdMKCUBQuSKS5W+PNPU9jayUtqLPmI8iVfNER4yzlLXC9GXItcRfDNSCJKUpLKJZdY6NjRSosWNsxmFZtN4eBBI+vXx/PDD2bXPJKTY+Cmm+qyePGJcl5ONYU//jAxdGg9rriivKeaHtB+rwYzxzs0d6yR9moJFqvVW5D68UchDioKPPRQPvfd5xbineu/+WYymZlprk5c06alceGFFtq2Dd98X9Ukq0WIbj7PIp7oaS+ZDIi6+b6Im5xfEKLO74huR/sQZQSeVyEZQAOEGfE5wD+A3mVjFXEIUR70URU/SzRQgXVlP/chnoLfiPjciQgfjEihzT88WPkmyt+gWgHnM7T0EMckkQRDD0QntUFl7xXNv54YgJkElxXzHUKEfAohPkczOfUUopTldSIr5Er0hwp8gvCeWY+Yj02IjKpe0QsreM45x/9FudOs0GoVaeOpqbq+L/HLu++exG4XU1JJCRQUGPjjDxMrV5pZtCiRkhJhKPvAAxns329i0qTwticPluRk9+/d4RAeP4E+CS4udk/FnvuJFdq29d/RxNNM05ePjURSDY4hsus/QojxIBodXAEsj1ZQFZGe7mD+/NMMHlyC2ez7//r998POnXHcd186O3aI24iCAoXx4zNYtSpH9zf4vrjgAour7BaEB1VOjoFt2+L56KNEduwQDxiWL0/g11/j+PzzE16eVdFGOy8H45Hl7FTnb196Q1V9f7aJE/N54IHyZdLODFez2V2yV1qqMH9+SljLVqvz3+AYwlflUsTFYUXH6IIwzn0bIewcAYoQhld5iAvNU4iU7S8RF5ijqFicyUdkcbQntsQZLcWI+AcBbYisOAPCBNoT/wWjLtRk3OIMiL+nRBJJDIjyvA2IDJdBCEGmsm+V41StBDIP0fGpG9FpxV2K6LTWruxfKc5InGzC+5zuCTSNUixVoqKOEZ7lMU6BIxZJSVFJT3eQnu6gUSMHrVvbGDCghLlzc1m58jht2rifxL3wQgorV2p7H0QX7UV3MGnsnk8rk5L0ffHuizPOCOz8dBoCSyQhxIHw0fP8zo+CX2VgNGrkYOTIYr/ijJP27a0sWnSC9u3d4vzu3Sa+/DKxgq30i8mEa35PT3fQrJmdrl2t3HFHIStWHGfatHxXlsqRI0bGjavjysbQA6Ga333tS2/Ex6vlSnSbNbNz770Ve9jddlsh7du7v6e//DKhnDgVSkKhU36PuCDsDawguLQ7I6K8JxhOIJ5ktwCmIG6cJFVnreZ9nwC26at5vyY0oUgklWJGlAbuApYAF5aNBzpLPgtUp3/tr4gnWF2Bzwi/P00+whiwFXAPQhiXSLSs0LzXdlzUNTWxbCkYWrWy8eGHJ70ubOfODfbSKLx41uEDHD4c+OWjp/Fiw4axpy3H4hN9SY3ib0QFgpOYmt/9kZqq8uyzuV5jse415guDAcaPL+DOO93P37dvj+Pbb/XzWRMTVa/s1GDm98OHvY11Y2GOT0ryjnHIkGKX/50/FAWGD3cX/lgsClu3BmHGFiSh/Nr5DtGethXCWHN3CPddgiirGoboVvEEVfe1kXizCtHRxslToNb3v7qagbf/zG9EJ6NAUrtogPBuOgS8B7QuGw90DlOBAkRpUCj4GVEX3hSRHbgtRPsFkVm4DBiDMAd8CPG5JRJ/aL8PU6IShaTKNGli97r4+/XXOI4e1Y8yoK21/+uvSq5myzhxwuBV4hTOmn2JpAZzyuN1jZnfu3Sxcs457jlh48bYNguuiPHjC7xEgBUr9JUl6ZnFGej8rl3XaCQmfLjq1fMWaAI15+/Y0Xu9P/8Mn+NBOL79sxDGmu0QYs0dCFOr/+F2JK+Mo4jMjkygH1AXGI4w9vTtJOiHWftm3T3v4Ly6wWxTu1BU4AbcT+ZbAZtAvRZUj0d4ajKooxBdtNqVDZ4ArgdFR4l6khpGK+AFhLHvE7iNyYOduxRE55vcylYMkiOIDJcuCBPhG4EFCMEm0D58JxCln/MQ5n91cbf5Dn8vP0lN4AzN++NRiUJSLTp39r74y8rSTy9Wz4t3EE+AA+HXX73XkwKNRFIlPOf4GjW/e94cHz9u0FXpTyhp0MBB06buD6en+R285+Y9e0wBl+94fhecdZa90vI2PXD22d7fQ3XrBpb1oxV2Tp0K30OUcJ8dBxC+M2+XvTcgSpMaIxTgdESZUzHi6fZxhMATkpuomftmPqkq6j8tVsvY53Y/1++Rcx6pUZNa6FB2gXoRohtIf6Al8CFgB9XpUVMf7/NlNTAWlH0RDVVSW+iC8Hy5HjFH+OrIFAwWhEATTg4hvECcfiAKcBZCuElGiEtGhFCdj8h6yEbfneckscEgzfs/fK4l0TVa0109tW1u2dJG48Z2V7lSoE+6PdvnGgzQvXugz+kkEkkZbct+nNSo+d2ztMbhEKbiKSn6v8mvCiaTp6daFAPxwcUXl/LJJ8IDyGoV5Tv/938V50QUFyteIvwll8TG/H722TaWLXO/92yJXhGlmo8XTjEq0vKdA9ECdH+4D5S5L3M6Cv8EUFE7W+OsK5/b/VxfKdL4Q8kG9SqEGdmTQBLiZrKxZsVSRBecTFBqZj88SbRQgMsRwoz2hrO6LhULgMPV3EewqIg22LIVtiRQDARvAH05MMLj/TYC6sYn0RsHDnhfkumpll9RoH//Ut59NwmAn34y8/ffRpo08X+X4XDA4sVu088uXSw0aqSfzySRRIFg53gT5R8ufRm6cKLP8ePuLIS4OFX3JrNVxWJROHTIXQ6k9fWKNldcUYrJ5H4w8PnniZUKNEuWJGCxuC/P+/evjsVj5PjHP7w/l9ZHxx+efz8IPPOmKuinwDmEZGZntkJhoma4U5lIU4G/Sm1GHYDwDXoWIc74w4wQcPaCOiwSkUlqBWcjTPC+pbw4U10cwNwQ71MiCQeDga8QRuyVXTGYgHHAF3h/l2eGJzRJOLFaxcWuk7Q0VVdtWAFGjHB75Njt8MoryRWuv3Bhopc/wciRxRWsLZHUCr5ENDhpEsC6rYGvEf6eTnYg5vwagarCpk3uLLsmTRw11jR+6dIELz8urZ9JtKlTx0Hv3u4UkcWLE8nO9n8ZYrUqvP662w6pUSM7vXoF5UISNXr0sJCW5hZXfvwxsIxQ7XqdOoXvb1gjBZopzafsV1D6I8qmPOlkjbOum3NgjjYrpJaj3o34EnAarx4CHgE6ILpspSB8Zx7AnQ3QDPgc1EciG6ukhlIP72ytUMnSKqLb0p4Q7U8iCScKQqD8FuFv9BnCHHssMBrhcfQQIiPsL0TLdc+75I+ATyMXrsQXR44Yg2q/qarw9NNp7NvnzqC54oqSciVP0aZrVwt9+7ov4N97L9lv15WdO01Mn57met+smZ3rrpMCjaTW0wCRhX4Q4en4GnAfojvlKMRcPxPRHfUP4AqPbQuB2wB93dlXg8WLE73M0Hv0iI0SmWD9Yw4cMPHkk+750GCAgQP1l23y6KPuduDFxQr33ptBfn757zJVhSeeSGPXLvfvYcKEAuLj9fWd5Y+4OJUhQ9y//6+/TuDo0YqfiZ06ZeCzz9wZoS1a2MNqiKwvh6IQMrnV5HUz988cqKAsxdvxvL1dta+Zc2DOZRNbTjwSrfj0g9odkT7p/B+4GRgAitYXY7f4Ud9HtDfuWTY+G9QtoKyNRLSSGstPCJ+jjkBvhHF1N4TAUp3nKQowu7rBSSRRoD7CHH94gOu/A9wVvnCCx2iEOXOEpdx555W/p5g8OZ/8fKXCp1Bnn21z7SMpqfzF35Qp+RQWKuUMdqPJmjVmZs9OZcyYIgYNKqF9e9+xqSr8/HM8c+emsHatu6NHQoLKww/nRyrcoHjiiTw2bapPXp6CwwF33VWHm24qZPToYs46y05OjoFlyxJ49dUU8vLE1G00wjPP5OpOcAKYNKmAvDzf5+AttxTSr19JhZlM6ekO1/nZokX5i/Xbbiukf/8SWrbUkaGQRA8oiGucbgGufxi4FtgYtoiqSW6ugaQkNeD/57t2mZg6Nc1rzLOTnZ657rq6tGljY+TIYvr0KfHy0fEkN9fAp58mMm9eCqdPu4Wo0aOLyhmv64Hzz7dyyy1FLFggCim2bo1n0KD6PPBAARdeaMFsVtmxI47XX09m3Tr3d1bXrlauvz62elpMmFDAp58mUlKiuMSo998/SWJi+b+l1aowYUIGeXnuv+G4cdockNBSYwUagKmtpn4/a9+sAaqiLkVkgjhpZ1fta2ZkzegzrcW0SPtS6I2ncKfSlwAjfIgzHiinQR0J7EX8Tg2Irl09whumpBbgAH4p+/kX8A9gEjCsbFmwGX8qwsx6awhjlEjCyf8QWTADECb6leFAPGnNBFaFMa4qYTDAmDH+L9qGDKn8YvyMM+wV7mPYMH1e0B87ZmDevBTmzUshLc1Bhw42GjRwkJ7uoLhY4fhxAzt3xnHsmPe0ZjTCvHm5NG+ur/ImJ61b23j99VPcdFMdrFYFux0WLEhmwQLf5U6KAv/8Z55X5o2euPpq/+fPZZdVHnNSklrh+dmnjz4/tyRqvIu4lulCYA+fjpVtM5PQd6EMKZs2xTFxYjo331zEVVeV+BUgiosVPvggiVmzUiksdP8K+vUroXv32CiRUVVYtcrMqlVmDAYhzrZpYyMtTSU+XiU310B2tpHdu+OwarTfzp2tTJ+eF53AA+DJJ3PJyjKyZo0QYPbuNXHffRl+12/e3M4775wkLrDGfrrhjDPsPPRQATNnCnnghx/iueqqekyaVMCll5ZiNqtYrQrr18fz7LOp/PKL+wN27WoJe0ZojRZoACa3nrx+1r5ZA32JNAaHYXXtFmnUdKCPx8BXoARgLqkcA3UhcGvZwCWgNgLlaOhjlNRiNiKyB/oArwNtgtxeQfpxSGKLfcB1CNG8I3ARonvHWUAaIrU9F1GGug3Rnl0aAuucvDyDVzcjfzRubGf27Fz69dP3Tf2ll5byzTcnuPfeDK8Udy0NGjh47rnTuv88EkkEeaXspz5wMXA+4tqmDqJc9TRwCpG1/jNijtdPemAlHD1qZM6cVObMSaVRIzvt29to1MhOSopKUZHCwYNGtm2L9xJmQAi///qXrvUnvzgcsH+/if37K7+lHjasmMzMPNLS9JdN6MRkgvfeO8kLL6Qwf35qOYHJk6uvLmb27DzS0/VleBwo995bwL59Rj7+WGQM7dwZxy231AEgLc3hlTHjpE0bG2+9dTrsGaE1XqABIdLM3DtzgGJQvqG8SLNm9p+z+0xqNulQtOKLImfjbUS5LYhtf8Yt0CgIjxop0EjCwWqEqd7HBJ5F48zG0V1WgUQSAHbEfBzMnCzRCf37l2CzwbffJrBpU5zPizxPzj3XyujRxVx7bZHfVHm90aGDlZUrc/jxx3iWLk3kzz+NHD9uIC3NQZMmDi6/vIR+/UrD2oZUIolhjiMMg2tURyZPjh41VurrAULw/de/TlOnTuzc5L/44mmWLk1g3Tozu3ebcFQQenKyyoABJdx4YxEXXhgbGUImEzz8cAE331zEF18ksnlzPIcPG7DbFRo0sHPeeTaGDCnWZZlWsMydm0v79jZmzUr18o7Tfm8bDDB0aDEzZ+ZGRGCrFQINwNQ2U3/wI9Kc47A5VtdSkcaseR+MY5U2p9e3U6BEUn0GAP8muBInAzArPOFIJBKJf+rUcXDjjUXceGMRDgdkZ5vYv9/I4cNG8vMVEhJUUlNVGje207GjzaubRCxhMIhuGD16xMZNh0QiCR/nnmtj3LhCNm2KZ/v2OFe7Zl8YDNC9u4XbbitkwICSmOvcdOGFFpfYkp+v8McfJrKyTOTlKZSUKKSlqdSp46BNGxutW9swBtbFWXfUr+/g9tsLuf32wmiHEjYMBhg7tpAhQ0r44osEVq40c/iweOCQkqLStKmd7t0tDBlSTLt2kROk9CrQNEWIB/tCudOpbab+MGvvrP6qQf0GkS7u5ByHzbHmmYPP9HnsrMf+DuUxdY7WayaQtn9OmmneH69mLBKJLwYCn1NeTKwIB3CgbLtIEEcMpSBLJJLIYTBAy5Y2aRIrkUhqNGeeaeef/xTeKkVFCjt2xHH8uIGcHAMnTxqIi1PJyFBp1sxOp06WmMkWrIzUVJWuXa107SovA2OZRo3sjB1byNix+hCj9CrQvANcjugW9CzwY6h2PLnN5B9nZs3srziUZXiLNGcbrcY1zxx85jL9iDRqOsIosgQ4DUqoH1NlAcWAs2/YQFAfBSWQx3lXeby2ItsYS0LPIESbYa04swmRBXcOvrNqDMAcRJlIuEkHlgEfAvMjcDyJRCKRSCQS3ZKUpNKtm8ysk0iqSrBdUSLFEkRsQxEGWT8AQwhRvFNbTP0JB30QRlyetC0TaYLJJAkhaiqod4H6LainEWZh2Qhvl2JQd4D6GqgXhuZ4SjGiA4iTdsA9AcR5K9DVY+AHUPRrSV5rUduAOgLU+0CdDOptoA4CtXm0IwuAq/AtzvwI9ANu8rOdA8gB3g9faC7SgeVAd0TXqfsicEyJRCKRSCQSiURSQ9GrQPMOovzGmf/WHVgM7ALuJLhyB59MaTNlKw76qagnNYvaGq3G9ZkHMltU9xjBoQ5EfL7XgL6Ub7FqANoDdwGbQP03qGlUH61Px/OgPgZqYvlVVbPIsOE1zQLZKUc3qAZQx4G6DZHVtBCR2ZEJvA18BWSBugvUF0DVYxbdCHyXNf0A9AfygC3AGz62NQBzCc5PqSrUAb5FtAIHYZT9AnB3mI8rkUgkEolEIpFIaih6FWiKEDc7TtsoZ5xtETdlfwHTgbrVOciUNlO2qgbVl0jTApU1kRNp1FGIrKEzNQsOIG5Ef6G8Ke8YYBmoydU7tvI94um/ExPwNPAXqJ+DOq/sZ6EYYw7g2S/0NVBWVC8GSWhQzwZ+Al4FOley8jnA/Qj/FD0xElEupI3rB4RZcL7H2NOAp7GDChQgWnKHkwxEWZM2k82K+D8ikUgkEolEIpFIJEGjV4EG4GWEKOHLRaoe8ARwEHEz1raqB5nWYtrPFYg0a5/OerplVfcdGGpj4E28213/G2gNSitQLgTlAsRN4fV4t7K+GHg8BEE8jMiw8PTsqAsMAx4s+xkB1PdY7kBkKtwbguNLqo16NqJc7SLNgl8R7anfAP4DbED4DumRkcAHlBdn1lNenAE4hGhR6ZwjFMS8cTqMMWYAKyj/ey5FxF9jW2ZKJBKJRCKRSCSS8KJngeYkQnzx1XzNOZYIjEWUBn1J+ZumgJjWYtrPikHpS/muRs1NDtOaMIs0t+NdzvQaKDeBst97NcUKyodAL7xvVMeDWs0W14oDlKlAN+BdILeClfMRAtJFoDwCSiSMWCUVotYBVuLOwFIRYkxLUDqDci0od4FyIygXA42AmxH+KXqx0R+F78yZ9YhOTlpxxsl7uOcDCyLzLlw4xRlt5owUZyQSiUQikUgkEkm10bNAAzAP7xIGLZ4lUIOAjYhSiMH4Fnb8MqXFlG0OxeFPpFmbmZ3ZKpj9BUE/j9dWYFrFqyt/IEpYnKQgPHpCgPILKLcismc6ILIWrgduQNwknwdklAlIW0NzTEkImAuc5fF+SpkYk+V7dSUflPdB6Q9KuL1aAmE0InNG64fzPb4zZzxZh8jmAlgAHA55dAKn54xWnClGzDdfhem4EolEIpFIJBKJpJagd4HmL0QmQCA4BZmLEX4u2xGdXgL22JjWctovZSLNcc2iZthZEyaRxtN35ndQtKVWvvhe875pCOOhLKNmJyjLRNaO8gEo34Dye4AtuCURQ+0O3OIx8C4os6MTS5W4Bvgv5cWZdQhRsKCS7U8hMuicJXfhwCnOdNOMFwNXly2TSCQSiUQikUgkkmqhd4EGYDbBlWE4hZoOiPKHgwhD4YxANp7WctovCopfkWbOnjmtg4glEDw/W6DeIIWa97LMqPZyN+5zvhiYGMVYguUahADrS5wZROXijJNpCJ+kPaELzUUDYC3ebeVB+GNdjSgtk0gkEolEIpFIJJJqEwsCjdNfJlivDOdna4DbUPgFoEllG05uNflXfyKN3WgPtUizy+N1K1ADKc3SmiLv8rmWpIajpiO8W5wsAiUnWtEEybX4Fme+RbTSDlScAViMaCUeahoAq4COmnEpzkgkEolEIpFIJJKQEwsCDcBMgvSU8cD5GZMRbYUPAO8jMmz8MrnV5F8NBkMv4Ihm0Vl2o31N5t7MNlWMR8unHq8bITIHKkA1ALd5DOxGdOqR1D7+D2GU7WRxtAIJkuvwLc6sAIagjy5TDRHizPma8SKE58yqiEckkUgkEolEIpFIajSxItBsRPiuVKfjjFPgiQNuBH5DZOb09bfBpBaTdhoMhj74EGkwECqR5kPgJ4/3b4Oq9booQzUDrwH/cA4AD0pfmFqL1rC27DxS00EdC+rnoG4CdRuoy0GdDWrvSAep4VaEOGPUjK8AhqJ/ceYqYHXEI5JIJBKJRCKRSCQ1nqpmpUSDQYSvU4qz89MpXwtnHpjZTlGV1cAZmkVHDAZDn0ktJu2s3uHVBgixyCm82BGf9Tvgb0SWxHmIbjfNytYpBcaD8nb1jh2bTP99eoo50azt7nPllFZTVoT4UH/hXRb3AOEpp6kC6mJExglALigZoN4AvETFnksbgLtF166IchvwJuWF4eUIcUYPHaWc4lOCBRwAACAASURBVMx5mvFCxByxJuIRSSTRYy/Q+vzzz6dDhwqTTmOS0tJSFi8WiYdNmjQhPj6eFi1a0LBhwyhHFjp+//13fvvtN0wmE2edJZr9XXDBBcTFBdw/QfesWLGCU6dOkZaWRr169UhOTubcc8+NdlhhYe3atRw9ehTg34hGGBJJVRkNfAxwzTXXRDmU8LB+/Xr+/vtvkpKSaNSoESaTiS5dukQ7rJCyePFiSktLqV+/PqmpqTRo0ICWLVtGO6yQcfLkSb79VvTiaNasGUajkbZt21KnTp0oRxZ6jh8/zqpVIkE/lgQaBdGZqQOhyfxRcX/+LKAHQgzxSUUijWpUL5/afOqOaoYTB9wBjAU6V7BiPqKUZRYo1Txm7CIFGgB1PaLMCWAnwhR7VoAbFwAjQVkejsh84E+cWQYMQx/iTCOEOKO9si9EZM6sjXRAEkmUOYnoYiaRSPTFSqBftIOQxDR3IbLyJRKJztB6QOgZFdHR6d/V3IeCaMm7BFgErAf2V7bh1JZTd83eP/syB47VeLfGbqzYldUzs2f2qaZIEw8kEZhoZgbSqnEsSc3AM0vmTIRXE4hSnBeAz4BsRAbWRcBDwCVl66QAH4N6ISjh6H7kye3AG5QXZ74BhqMfcWY15b2ppDgjqfV06tSJ88/XVvzFPjabjY8++giAq666ioyMgJo9xhRZWVmsX7+elJQUhg4dGu1wwsL3339PdnY27dq1o1s3PxXiNYRvv/3WmUEjkYSMMWPGRDuEsLBt2zZ+//13mjZtSu/evaMdTlj48ssvyc3NpXv37rRpEyp7VP2Qn5/PF198AcDIkSNJSEiIckThIycnh+XLxXPzWBJoQKTizURkNASbRaMiSodeQGRA/BnswSe1mrR79v7ZfXyINI0Uu7J61p5Zl09uO/n3YPcL6gWIm2nPnLRDCPHoJMI35xxECVQqIi1xFKjzgYekB02tJcXjdXrZvyeAvj7Klw6Cugh4BfHUxLnNPETpTri4A3id2BVnBiFKDSWSWsuAAQO4//77ox1GyCksLHQJNA899BDt2rWLckShZ9GiRaxfv566desyZ86caIcTFsaNG0d2djY9e/bkySefjHY4YWX06NFSoJGEFEVRauzcMGPGDH7//XfOPffcGvsZN27cSG5uLqNHj+baa6+NdjghJysryyXQTJ8+nbp160Y5ovCxdetWl0ATKybBTqzAs1Qt7h+ATsAjVEGccTKp1aTdqqpehhBQPGmkGtXVM/bO0HpXVILaBpGq6hRnTgNjgLNAuQaUu0G5A5SeQGtE1g+ITBsdldtIooAvcWO8f28ZxQHcC3guHwRquO5K7sS3OLMU/ZQ1Nca3OJOLMBCX4oykNqOH/6MSiaQ8BdEOQBLz6KEpg0Qi8UGsCTQAbyOySoLJGrEBzwAh8WyZ2nrqH6qqXoZazrOmocFgWBWkSPM64JQDS4ErQfmv76wY5SAwAljoMXgPqL2COJ6k5qC9QNuPd9t2Hyg24DnPAeCKkEYlGItvceZrROZMaRiOGSxNEd3hfIkz/RFmyhJJbWZXtAOQSCQ+2RLtACQxz95oByCRSHwTiwKN018jmNhNwBcIL4mQMLX11D+MGP2KNLP2zQqgYF89F+jjMfAuKJsq3kZREZkzNucAIitCUvvQmiSvCrDcTWukfFGI4nHiNJ7T+il9jRAY9SDOnIXoyKQt2M0FrkSKMxKJRCKRSCQSiSTCxKJAA/AyQqhRg9jGjMg8CZnfxsTWE/cYMV6G6PTjSUNVUQMRabSZL0sCO7JyCNhcwX4ktYMDmvf7AttMyQHyPAZC2VP2LuBVyosznyHKmmJBnNkY8YgkEolEIpFIJBJJrSdWBZoTiK4wFXU8Wg5os1HCItKg0BPRqtuTBqqirpqxf0bHCjZvpHl/MIhDZ3u8bgiqMYhtJTUDrSF1MH4RRR6vk0MQC8AEfIszC4HrEB5S0aYZQpxprRk/jSj1kuKMRCKRSCQSiUQiiQqxKtAAzMX3DZ+K6L5yO+JpuFakiUfcMF4dqkCmtJySZcfeW0HRZjQ0MGBYm7k3s6ufTbXZBOYgDuvZZ8xKcJ48kprBds37dJ9rlUNVNOueDEEsDwLP41ucuZ7YEGcqKS+USCQSiUQikUgkkvARywLNX8AHPsYV4HHgb/w/FY9HmKmGTKR5rNVj2TZsl/kQaepg4NvZ+2Z387HZEc37TkEc8gLv/SjBlHtJagbr8C5VCsD3CIC2QKLH+2x/KwbIQ4h23Vo+RX+ZM6004845YnO5LSQSiUQikUgkEokkgsSyQAMwC28fGhWRDfCqx5g/00+nSDMkVME81uqxbFR6I7rpeFJHVVRfIs16zfuxZdkNlaAOBJp7DHwfZKiSGoFSijDedXIFqCkBbDhC835tNYJ4GJHNpuUTROaMzceySNMc8Rm14swpoB9SnJFIJBKJRCKRSCQ6INYFml3Al7hFGgV4i/JeHP7a5sYjbiSHhiqgya0n/6moymVoRBoVNUNV1G8z92Ve6B5V9uDdKvEi4NmKRRr1bMRn9OTD6kUtiWFewH3+pwHTKl5dbYwQVZycQPg1VYVH8G7Z7eQT4Ab0I86sAVpqxk8hMmdkq1KJRCKRSCQSiUSiC2JdoAGYg7fvxbt+1nNm0vykGXeKNMNCFZBTpFEV1aurjoqaoSjKitn7Z3u2NZ6It3/Mw8B3oA4DtUHZlvGgdgT1KcQN5Rke668GxTOLQlKrUDYiOiQ5mQjqBN8in3oW8A1Qz2PwOVC07boD4RHgWR/jH6MfcaYFInNGK87kAL2R4oxEIpFIJBKJRCLRETVBoPmh7AfgOCKrxh95iJKG7zTjcYgby+GhCmpy68l/OuwOnyKNirrcLdIoa4AH8C7V6gl8DhwDVUWYCf+K8NZJ9VhvBzA6VDFLYpbxuFtsGxBmvT+D+jioN4I6DtR3gJ1AZ4/tVuFbZKmMR/1s9xEwBv2IM2vK/vUkB7ic8gbLEolEIpH4xWJR+OabBCZMyGD48Hr06dOA4cPrMWFCBt98k4DFEkCFukQikUgklVATBBoQXjQgnpZXZpZbCAyivO9GHCKT5rpQBfVYm8cOOuyOy4C9nuMqaoYDx4qZB2b+Q4woLyHKLfYEuGsLwmfnH6CcCFW8klhFOQYMwPs86ww8BbyPOFduxbud9lJgBCj2IA82EZG1pkVP4kxbhL9TC834MYQ4879IBySRSCSS2GX9+nguuaQBt99eh08+SWTDhnh27TKxYUM8n3ySyO231+GSSxrwww/x0Q5VIpFIJDGOKdoBhIivgZnAkgDXLwSuQvjXXOYxbgT+jSiZ8tUhKmgea/PYwdl7Zl/mMDrWAG08FqUrqrJ85oGZV05tOXUjKCtBbQf0RZRidQUaA3UQnjqnEBkQG4CPQdF2gJLUapQ9oHYGnkaIMRl+VswCngEWgBJsa/ZJuMVQTxYAd6CPVu9tEZkzTTTjTnHmt4hHJJGEnlsQGZWePAH8J/KhSGor27fHVWm7Vq1spKTETuPJTz9N5MEHM3BU8g136JCRa66pxwsvnGbEiOLIBCepiSQA3wJneozlAl2iE45EUvs4fdqAwwF160bn1qamCDQqlZqjlsMp0nxFeZHmfYRI899QBDep7aS/5hyY09Ou2lcD7T0WpSuqsnz2gdn9J7WctKHshnlF2Y9EEiRKIfAQqFMQ53RbhMhnAY4i/Je2V7Eluz9x5h3gTvQhzpwNrEaKM5KazZmItvZ1NONpUYhFUktxOKB///pV2nbhwhNccoklxBGFhy1b4nnkkXSXOJOQoDJ+fCFDhxbTqJGdo0eNLF6cwCuvpFBcrOBwwMMPp9OihY2uXa3RDV4SqzwB9NCMnYpGIL5wOGDfPhO//hrH0aNG13jbtjauuELboyU4SkoUli1L4KuvEti3z0ROjoGUFJUzz7TTq1cpI0YUc9ZZwSZ+h5dTpwwsWpTIjz+KrLq8PANWK6SlqTRpYueCC6wMGVJMx46xNx/07VufwsLgi21mzcrl0ktLwxBR+CgtVfj000Q++yyRX3+No6RElKyazSrnn29lxIhirrmmmISEyDxcqCkCTVUpwp1J08dj3Ai8hxBpQvJEcmLLiUfmHJjTx+6wr0Khg8eidIfqWD4za2b/qS2mag2MJZIqoJQCy8p+QsF0xAWDFj2JM+cgxJkzNeNHEeLM7xGPSCIJD69QXpyRSCQhRlVh6tQ0rFZxoZ6QoPLJJyfp1s0tLqWk2Hj44QJ697YwalRdSkoULBaFxx5LZ+nS4yjSlkYSHBfg3Wkz6hw/bmDdOjPbt8exfXscv/0WR0FB+RN7yJDiagk0W7bEc999GWRnG73GT56EP/80smFDPM8/n8pDD+Vz770FGI1+dhQhbDZ49dUUnn8+xXUz70luLhw8KOJ+9dVkevUq5dlnc3UnMFXEX3+ZyMsLfhIrKoqtiW/nzjjGj89g167yskhpqcKWLfFs2RLPO+8k8/LLpznvvPCLbTXFg6Y6FAGDETd3nhgRHaHGhOpAE1tOPOJQHH1Q2aFZlKY4lG9nHph5aaiOJZGEiCfxLc68jRRnJJJIMwYYUva6IkN8iSSiNGjgoHlze0A/kXoCWV2+/jqB335zl3E99FCBlzjjSdeuFh55pMD1/tdf41i2LCHsMUpqFPGI+444wE7gvpRhZfnyBO69N4M33khmw4Z4n+JMdVm71szw4fXKiTNJSaqXyGm1wuzZqTz4YIZooRIl7Ha4994MMjNTy4kzCQkqaWnlg1u3zsxVV9Vn797anhuhL/bvNzFiRF0vcSYhQaV9eysdOlhJTHT/LffsMTFyZD3++CP8f0N5lgicIs0SxA2dE6dIoyC8aarNtFbTjs7YP6OPQTGsQuVcj0XJiqp8nXkg86opLaesDcWxJJJq8hTlfS4A3gLuQj/izBq8W8+DEGf6QDkxVCKJVRogSptA+BFMJHDfNUkY2Lkzjs8/Fzfh06blh+04djv8+KOZ334zuerizz/fytVXV6+cIJRkZuYycKB+4gkFn36a6HqdnKxyyy2FFa5/662FzJ+fTF6ewbX9gAE163ciCStTgY5lr58HWiFK1XVJaqpKYaFSqTdTZWRlmRg3rg62shYTcXFw//0FjBlTSKNGDiwWhTVrzDzzTCr79onb1oULE2nXzso991T8fzJcLFiQzJIl7vkhKUnl/vsLGD68mKZNRYZMYaHC99+bee65FHbsEEJvTo6BceMyWLbsOKYYuwN/8MECrrwysPmsRYvYyBKyWBRuvrkOp0+781XuuaeQ++8vIC1NnNj5+QqvvZbCv/6VgqpCXp7CzTfXZc2anLA+bIix0yOsFAFXA18gjHqdGBEmqArCm6balIk0l/sSaVD5akbWjMHTWkxbE4pjSSRV5GngMR/jbwLj0Ic40w6ROaMVZ44ghFYpzkhqEq8iRBoQKfCHohhLQDgc8MEHSQD06lVKs2bhu2jLzTWwdWscx48bsFgUTCa49tqisB0PxNO0l19OAcIn0Bw6ZGTMmLrlUq9HjSrWlUBT0yguVli/3ux6P3BgSaXGxomJKgMGlPLxx+LG7bvvzBQXK15PYCUSP3QEppS9zkJkL78XtWg0pKaqnHeelY4dxU+nTlZatrTRvn0jlyBZVWbOTHWV0SgKvPXWKfr1c89t8fEqV15Zwj/+YWHoUHf2wrx5qYwaVUyDBpG9HLXbYf78FNd7s1ll4cITdO7sXfaSnKzSv38Jl11WyrXX1mXjRtHhbceOOFasSIg5QbtpU3tM+uhUxPvvJ7lEP4CJE/OZMKHAa53UVJVHH80nPd3B9OnC6i8728g77yRzzz3e64YSWeLkjVOk+VYzbkT4bdwcqgNNazXtqMlu6kN549Jkg8Pw1YysGZf52k4iiQDPENvijMyckdQ0RgMjyl5/h/g+0j12O0ycmM7EielepSKh5oUXUujcuSFjxtRlwoQMJk5M57HHaoZn8qRJ6ezaZSItTWXs2EKmTctn2rR8Bg+WXYLCybZtcRQXu0sX/vGPwEyNu3d3r1dcrLBtW/jOe0mNwYQoG3f2aL8LCN+dX5CMGFHMzp1H+OyzEzzxRB7DhhXTqpUtJP5KO3bE8fXX7lLA668v8hJnPMnIcDBv3mnXcYuKFJdAHkm2bxcPApxcf31xOXHGE7NZZcaMPK+x1avNftaWRAqbDV580X3+tG9v4957/f+3u+OOQi64wP13fvnlZCyW8HntSIGmPMWIcqevNeMhF2kebfPoMZPDdDnwP82iJIPD8FXm3sw+vraTSMLIDHx3RHsD/ZQ1tcd3WdNfQE9EO3qJpKZQD5hf9roUIZLKR/JlLF2awOzZqZSWKnTubOWWW4oYP76Au+4Kf+p7hw5Wl2ASDgoKFNauFRfyTz6Zy/TpeYwfX8D48QX07RtbHTJiDa1PxPnnB/bkWLue9JuQBMCjQLey1++hs06uCQkqhjDdLS5alODyklEUuPvuiuftLl2sXmLpokWJ1S6xCpa///b2yenZs/K5uEMHq1emz19/RdnhWMKGDWZyctwn9i23FFZYdmYwiDJWJ6dOGfj++3j/G1QT+c3hm1LE08qFiC5PTgwIkUZBeNNUm0fbPHps5p6ZlytGZRVwvseiJAx8mbk3c/CUNlO0BsYSSTiYiTvF1pPXgbvRx01hJ2AloO3vehCRObM34hFJJOFlPtCo7PV0Ysgc2GCAMWNEmVG4ypucPiGXXGJh4cITYTmGP9q0sdGmTfgedP/9txF72a/tvPNsYTuOpDx79nhfHjt9JSqjaVPvv5N2PxKJhnOAf5a9Po4Qa2oNy5e7s2c6drTSqlXl89ywYcVs2CBujHNyDGzbFk/XroFluIUCh8M7ayIlJTCFKC3N4RIEtPuQRJ7ly91ZTIpCQCVn/fuXYDLh8ktavjyByy8Pz8MSmUHjH6dI86Vm3CnS3B2qA01tOzVHtas+M2kw8OWMfTMu97WdRBJC/IkzrxEb4sxlSHFGUvMYBFxf9no7MDeKsQSN0Qhz5uQyZ05u2NpS7t8vboAvvDByF+jVYd8+E2vXmvnxx3hycyu+BCstdV/Em816mIIrx2YTfkDhTP2OBJ5PVs1mlTp1Ar0JU0lOdv+tPPcjkWgwIJouOFWK+4Gc6IUTWU6dMnhlmAVaRqhdb9OmyJYRNm/uLSIdOlR5NozVCkeOuNdr0UIK7tHml1/c502rVjbq1at8jk9JUenQwX0tE84SVintV4wFGAl8ivCmcaIAL5e9fjUUB5radmpOWSbNStwu7gBJBsWwJHNf5pApraesDMWxJBIPFERnmAk+lj0PPBTZcPzSGeENpRVn/kRkzuyLeEQSSXhJRwikIFqu3g7ULIc+H9hscOyYkeJihSZNKm/J7PQJiYYR65IliYwblwHAoUOHvZb9/nsc/fqJ6Wrt2hwKChQmTkx3dfMAXEbGTz+d5yXAvPFGssuM0EmvXg283h88eBijjrLk33wzmczMVPbvN7lKFtLSVDp3ttCrl4Xrry8iI0MPFbKBUVTkFlaSkoI7t5KSRHcbgOJiKdBI/DIB6FH2+hvgwyjGEnG02WWeN74V0batDbNZdQnYkc5SO+88K02b2l1lSosWJTJ6dMWeYMuXJ7jmBCAmu7v9739xZGWlsnu36CaYnCyE686drfToUUq7drElOnmKg8HE3q6dje3bxff4vn0mHA7CUgIovzkqxwKMonw7U6dIc0+oDjS17dQcjPRWUbdoFiWhsGT2/tn9QnUsiQRxDj9PbIgzvjJn/kRkzkhxRlITmQc0LXv9L0D7vaB7bDa4+OKGXHxxQ5eXiicjRtTj4osbsmCBMNubNSuVTp0a0a1bQ3r2bEC7do24++6MclkIR48aXft1PpV87bVk19jFFzfUlQnjTz/FM2xYPfbsiaNzZytdu1pITVWx2eA//0nigQcyvNZPS1Np3txO48buspozz7TTvLn7R29s3BjPvn1ucQZEO9J160R73G7dGvLyyyley/VMUVHVs5c8RcWCgtjOJJKEjZaITk0AhcD4KMYSFbT+TE2aBDavKYqYD/3tJ9wYjTB1qtt37LvvzK4WzL74/fc4pkxJd73v1auU3r1jz0Ps3XeTePHFFFasSGDTpnjWrDHz+eeJ/POfafTp04BRo+qxdWtsmKIfP27wymAN9NwD73LXkhIloAyqqiAFmsBwijRfaMYV4CVCOLFOaT7llGJUrvAh0iQ6cHw5a9+sQaE6lqRWoyBu+h7wsWwe+hFnLkCIM/U049lAb2B/pAOSSCLA5cCtZa+zEd4zMYeqinaU2dlGrxteJ4cOiWU5OQauuaYu8+enUFys0LSpHZMJLBaFL75IZMSIel7b22zu/TprwU+fNrjGsrONXk8ro80//5nGpZda2Lz5KEuXHufLL0+wfftRRo4UT12XLEng11/dF7bXXlvETz8d4913T7nGPvroJD/9dMz1o6fsGU/i4nzfpRQVKcyYkcqdd9Zx+eroGc+brWC71Xg+TY20gakkJlAQjRecLWSmAAeiF050OHnS+xa0cePA/7OccYZ73RMnIn8rO3RoMVOm5Lv+r8+Zk8rAgfV5441kVq828/33Zj75JJH7789g4MB6rhi7drXy+uunQ9IBS2/88EM8w4fX5+23k6MdSqVoy4vr1w/83Ktf3/sL7PTp8Jx/ssQpcCyIVqcfA0M9xhXgRdxiTbWZ0nzKqekHpvczq+YVwIUei8yqon42c9/MkVNbT/0qFMeS1EoU4AXgPh/L5gKPRDYcv1yAKGvyJc5cRi28oJHUCpIRF+/OS7ix6KjlajhwXtC99NJpBg8uJi5O+K+88YYom9m718Tbbydz333i19Ckid1VUnTRRQ356y8jkyfnc//9+vw1tWxp5803T3llYpjNKk89lceyZQkUFCisWJFAp06xVcFmMsFll5XSt28JXbpYadPG5vqMhw8b2bw5nvffT+LHH92dLpYuTWD69DSefjrP3251gWdZk6cXUCB4tudOSYmRlCFJJLkb6Fv2eiPwShRjiRpaET2YMlXPdT3LESPJffcV0L27hRdeSGHdOjO//hrnJbR70qKFnVtuKeTWW4v8ith6JT5e5aKLLHTrJub49HQHdrtCTo6BjRvjWbo0wfUAxWqFxx9PIyVF5ZpriqIcuX+0515lpdSeJCZWvK9QITNogsMCXAMs1owriE4bvm54q8T0ltNPlyqlVwCbNYvMiqJ8Nmv/rMGhOpakVlHRufoc+hFnuuA/c0aKM5KazLNAq7LXumu5Gg7y8xXefPMUw4cLcQaEgHHffQUuQ8ivvkqoYA/65pZbCn2WyWRkOOjcWXy+WOv2oyiwefMx3nvvJDfeWMS551q9PuMZZ9i5+upiFi48wZw5uV4ZPwsWJHt58egRT6NfT8ElEDzXD9a/RlLjaQ7MKnttQXiLxUBOWejRZlUGc5PsuW40syUzMhw0bWonPd1/BoaiQLNmNho0cGAwxNZ88MQTeWzffoxPPjnJxIn5DB9ezOWXl3LFFSXccEMR8+efZsuWYwwd6u3BM3lyGocP6zTNk/LnXjBlrNrzVAo0+sGZSbNIM15RVkKVcIo0KuomzaJ4FXXhzP0zr/a5oUTiG2e2170+lj2Lfto7dkVkztTVjGchypqkOCOpqVwKjCt7XWtarnbubKVXL981+VddJcwUd+0yxYx/iZaOHf1nxpx5priwz82NrZx3RYFGjQK7rxwzpoipU90ZMw6H8AzSM3Xrum+4iosV8vIC+/sUFirk57vXDaQziKRW8TqQWvY6E/g9irHoimDm9+qUIIYCVYW5c1Pp06cB77+fxIkTBgwGaN/eyuDBJQwfXkyvXqWkpKioKqxbZ2b8+AyGDKkfNs+ScHDddUWkpVU8h2VkOHj55dNcc41bpCktVXjppZQKtoouJs3zkGDKbm0aP+G4MD1rkAJN1bAiMmk+14w7RZr7Q3Wg6S2nnzaohisQaZCexCson0qRRhIgFfklzQEmRjYcv/gTZ/YAPREijeT/27vz+Kiqu4/jnzMhCQlrcEMpyiIo2ro8WpVat7rgjoqFarF1QUHbUncToBqpJMGt1mqrfSpa1Cpalwe1iq1L3euCYuuCCrGiVpYGAwGyznn+OAmZ3LmTzHJnCfm+X6+8zNw7c+4ZE5LMd875/WRLVIxrudr252aPabk6ZkxnAYb7y6mpyeRUXZlEdLbNpe3duHC4ez63eE2ZsqFDccXnny/M6cBt5MiOf4V/8UV8L6q89/OOIz3aOcC41s+X0r6SpkeKXKUGiW0lrK+PXKWW+RC0qqofN9zQd/ML+8MPb+DFF1fzzDNruP32tdxyy9fcf38N7767kiuvXEdBgXuuixfnc+qpg6JqoHR3xsDs2bUdgu0nn8zdn/HelY3Jfu+5sdLz/de91tTmlibcSpr5wOkRx9uKr7aFNSkrHVlaW7Wsapw1dhGwf8SpAoN5sKq6amLp8FJvAWORNm3hjF/HsblAaWanE1NbOFPiOf4xblvTFxmfkUjmHAns3Pr5f3Dvsp7Xyf139Nw+EIh8NfhY6zg5L7Ijh1fkH1LNzQbI0b/4pFP5+XDEEQ3cdVcx4LporFyZ16FTVS4ZNapjsPL++/mMGdN12PKvf3V8O3X0aAU0stm0iM9fAn7Uxf2HR3xeSMffB18R3V22W/EGNH6F5GOJvK93nHR7++18br21fXXIuHH13HHHWt9Wy717W6ZN28CIES2cdVYJ1sKnn/Zizpx+XHttbQZnnX79+lmOPbaee+5xP+O/+iqPzz7Ly8mug95QJZE3f7z3Tdf3nwKa1LTQ/gPWL6QpIqCEPCKkeQo4IOJUgbX2gYrqikkzhs/w1sYRaWsHf77PuVwKZ74DPAn09xz/CPgeCmdkyxf55932uKXwiTidjr+HltJNAhq/P2xly7Pjjh3DipqaUM4GNHvt1UR+vit6CfD66wVM6w1vDwAAIABJREFUmLCp8wcBb77ZXhA5P59uV/hZ0iryld05rR/xKqbj74SX6OYBjbdzzldf5bHzzvEFml991b5SLZEOPEGYN6/P5u5seXkwZ866Ln+HHXVUPUceWc/TT7taag88UMSsWevo33/LesNh9907/rxbvTo3A5rttgsTCrV32UukXo53i1pkR7Eg6c+i1LWFNPf6nKvEtc8LROnI0tqGloZxwKueUwXGmgUV1RUn+T1OeiyD6w7gF86U0z3CGa2cERHZAnhrReTq8neA/v3DHHBAe12kJ57oTWNj5++yNjfDk0+2F7M+8MCGLus3iPRU3jAm3m2E4TB8+WX7y1fvard0e/XV9hB2jz2aOl0BGumYY+o3f97YaFi8uKCTe3dP3u28ubotuajIdthy+9ln8Qc0K1a033fbbcOdFohOhVbQBKMF+DFu7fVkz7kK3AvliiAuVD6qfN11X113ZPPG5idwBSXbFBhrHqj8tHJS2bAybwHjbuUB+0DeJ9WffIjhdWvspTOHzUzpXeDy98oLCnsXXoJhug3ZU2YMm+ENuLZEIWAe7vvS6ypgdmanE9OBuHCmn+f4UtzKmS8zPiOR7PgCeDCB+5fQ3qoVYDGwLOJ2j6hfI91H5B+2kPsFdE86qZ4XXywE3Gqfhx4q4rTTYreOfeihYlaubH/hOH58fcz7So/0N2B5Avf/DjCk9fNGILKUwYdBTSpbvMHKu+/2YtKkrh+3dGl+h7A03lU3QVm1qv3n2JAh8a8OiQwEAFau7D7FguO1enXHdR8lJbn7M37UqObNwcy77+YTDse3mvftt9u3saYzHFRAE5wW4ExcSHOG59wcXEgzJ4gLXTb4sg3XfXXdcc0bmx/HdbVpk0+YByuXVZ5RNrLsviCulQ0TzcSWiuUVecaa0401J1QsqyhvDDf+oXxU+bquH92u/LnyXoU7Fo4HKjGMAgi1hOrSMunckgfcgX84cyXwy8xOJ6bvAn+h03DGTgKmJDH2WjATU5yfSCa9jqtrFq99gDcjbt+BWzEnknNaWuDZZ9tXlwwcGGabbXJv6XukU0/dyM039+Xf/3Z/xM+e3Y8DDmhk+PDoP8o//bQXV1/d/qts2LBmTjkldpgjPVKiq5YfAk5p/XwDif1+yHn9+4cZM6aJDz5wL3hffz2+FSWvvdaxztPYsY2Bz60zhYW2tR4aNCZwae8KvERaO3cXr73W/jU0JrEAK9MOOqiBZ55xAXxtbYj338/nm9/sfEtqdXWvDtvrYnWfDIICmmC1AGfhQhpv8a9rcCHNNUFcqDWkOd4npMnDcHfVsipTOrL0T0FcKxuMNfMxXIWlnzHmhsK8wl9WLKu424TMow3NDa/QiG8se/PHNxfWmbp9TciMw72w394YE7bWYjBLSkeW/jOzzyTj8nArZ/yKz/2CgL7/AhArnPkQF860rZoaRsdVAvFamfTMREQkUHffXcynn3b8wzYvx99Azs+Hq65axznnuOKetbUhTjxxK2bNWsf48fX07m2przcsXNiba67pz9dfu7dfjYGrr16ftvarIluKY45p2BzQvPdePkuX9mKXXTpflfDww8WbPx8ypIVvfSuzdZ622SbMhg3uh9f778f/j/y99zreN9cD6kR99FGvDiH8brs15fQqyWOOqae8vL2ywoMPFnUZ0CxYUBQ1RrqoBk3wWoCzcd2dvH6Je5EciMsGX7ahV3Gv4401z3lO5Vlj51ctqzrd94HdQF44727ARpRUK8YwFcuTBXkFawt7F74Z9SDLrRvzNtaakHkJ+IXBDAaw1oZa//vHzMw+a/KAO8n9cOYg/Lc1ecMZERHJMWvWhFi4sPfmFrNdWbiwN1dd1f6HsDFw7rkb0jS7YB19dD2XXbZ+8+3//jfERRcNZOTIwey++3aMHDmYCy8cyJo17X9Ol5au58gjtb1JpCvjx2/qsK0ksjuSn1dfLeCtt9qDjlNO2RRV2yrd9tuvfdnM55/n8eyzhV0+pqnJ8Kc/tQdLBQWWvffO3QLiTU0martSZ2pqQpx3XgnNEdnaqad2XVQ9m4YObeHAA9u/lvfdV9xpHaRVq0LMn9/+Ndx338a0bq9TQJMebSGNXyAwG7fNJBCXDb5sQ31R/fEYnvWcyrPGzq9cVvnDoK6VSZePunyZxb4C7StlTGtaYzAhYBfvY0zIjLTYzT8pLbb9x7ahJWzC3XZFURzygLuI3l4HMIvcCmf+Anh/C3+AKwjcWTjzX9wS33g+zg101iIiHmPHNrBgQQ0LFtREndtpp+bN57y1ByJNmbKBBQtq+MUvonfwDh/ePka8hSgzoa4uxLRpJYwduy2zZ/fn738vjPpjvq7O8OyzhZx5ZgnTppXQ1NT+63jixE3ss0/uvjjxuvDCOm6/fW2Hgr/Wwtq1oQ6Fjvv2tVx7bS0/+1lP2EktkrpRo5o5+eT2F/J//nMRDz9c5HvflSvzuOSSgZtv9+9vOf/8zAe9J53UMXi45JIBVFfH3pDS1ASXXjqgwwrCceMaKC7O3S1OdXWG/fbblssuG8BLLxXEDOObm+HRR4s44oit+eij9v8HO+3Uwpln5v4WzyuuaA/f6+oM06YNpLY2OhqpqzNccEHJ5lWS3semg7Y4pU9bSGNxtWkiXY3b7nR1EBcq36F8Y/mX5ScUNhQ+huV7EafyMPyxanmVKR1Rek8Q18okY8x8LAf6n4w+ZK31zdGNNdZin5o5YuaWuu2lLZzxFqgGmElABaoDcDDwBNHhzLu4bUxdFTXdBCaRIqoikkV5eXDttbUAvkuHS0vXs3696bQV8ejRzZvH8PuDtqxsPRs2GPbaK/Mv+LfZJsw22/jvQe/b13LQQV3vT9955+aY78L16xffGNny+ed53HZbH267rQ/g3hXu29fVZ1i3zv9t7YMOamDu3NpMTjMQJ5xQz/77N/LII0UsWtSbFSvyWLs2RElJmKFDWxg3rp6TT97Ettvm7pJ+kWTNnDmgwyqxNps2tR97440Cpk4tibrPIYc0cPrpsV+sl5au57nnCqmpcWNNnz6QxYvzmTx5IyNGtLB2reG553pz/fV9O7Q4Li1dx8CBmf/3duihDRx8cAMvvODeD165Mo9x47ZmypQNHHtsPSNGNFNQYFm1Ko9XXing9tv7dNjeVFRk0/7iPggNDYZ77y3m3nuLKSqyjB7dzI47ttC/f5jmZsPKlSEWL85n3bqO3xf9+4e5886ablFjZ999GznzzI3cdZdbGfPWWwUcddTWnHPOBvbeu4lQCJYsyecPf+jTIWA77bSNHVbfpIMCmvQK40KaemCa51x5638DDWl61/deaLGHR5zKs9i7KpZXmBkjZtwdxLUyxYTNAmvsr4HeXd65E9ZYYzB+W862BHm4lVp+K6Vm4Fq954JDcOFMH8/xJbhwZk3GZyQiaRUKweTJsf8wHz++6yXQ22/f0ukYke++SnY1NhpqavyDmcJCy89+Vsf06XX06qZ/eW67bZipUzcwdWr32J4lEpRnninsshXxl1/mdQhQ2gwa1HmIMmRIC/PmrWXSpEE0NBjCYZg3rw/z5nn/XGx31lkbsrpC47bbvmbChK344AP3w6yuznDTTX256abOt2gVFFhuu+1rRozIbOepVG3aZFiyJJ8lSzqvuTNmTDO33LKWXXftPs9v9uxavvgixF//6l5qrliR16E2jddhhzVQVZX+Nxm0xSn9LHAB8Dufc+VAVVAXKt+hfGN97/oTca38IuUZzJ1Vy6v8apPkrNKRpbUWu9AYk3wMawHL+oL8gseCm1nOyMPVOvILZ8rInXDmSFzNGe9v23dQOCOSrLdwawnbPtTBSTJip52aef751cydW8uECZsYNqyFoqLoX9P9+lm++90GZs1az1tvreLii7tvOCOSBRNo//k+KMtzSav99mtk0aI1XRZp7d3bMnv2Oq65JqGmroEbODDM44+vYcqUDXGvFNl330aefHJNt6hP1bevZdas9Rx5ZAMDBnQesBkDe+7ZxI031vLkk2sYM6b7hDMAvXrBnXeu5cor19G3b+yvZXGxZcaM9cyfX5ORAvD6VZkZFvgJ7WFNpCta/5to+z1f5TuUb7xxxY0nNjQ1LKRj95s8i51XUV1hZgyf0W2K5YZsaL7FJt1a0BqLwdx38dCLt7S3WfOAu4HTPMctcBHw64zPyN9RwKOAd1NxWzjz34zPSEREkmaM23o2enQzZ5zR/i72xo2GmhpXl2XAgDD9++f+EncR6dqcObVs3JhcNd5hw+KrnzV6dDNPPrmGF18s5PHHe7NsWS9Wrw7Rr59l++1bOPjgBsaPr6ekJDe2ERYVubDooovqeOKJ3rz1Vj7LlvVi3boQjY2G/v3DbL99C3vs0cThhzewxx7dp+5Wfr7lggvquOACCIdh+fJe/Oc/eaxZE6KmJkQ47H7Gb7ddmL33bupQn6s7CoVg2rQN/PjHG1m0qDdvv53PypUhwLDddi3suWcT48bV06dP5n6nKaCJiy0GtgUGA1sDjcBaYCmYeGNcC/y09XO/kMbQHtak5OKhF2+6+eObj9+Qt+Eh4LiIU3nGmnkV1RV0l5Cm/rP6RYU7Fa4CtsG38kznDAZjTbfa2hWHfOB+4BTPcQtcCNyc8Rn5G4cLZ7xb1N7GrapROCMisoUoLrYUF+dOMWMRCcbhh2emFlZenqvxcuihuVt7y6ukJMzkyRuZ7FcFcgsQCnVeK21LUlRkOemkTVGFoLNBW5x82RFgp4K9E+yHQB1QDbwKPAYsAl4H1oJdAvYSsLE3rEUMjAtpbvU5dzlwbTDzh+mjpjf0aekzAXjccypkrJlXWV15ZlDXSqfyw8qbMdxLEuEMEMby2RUjrng56HllUT6wAP9w5ufkTjhzNMGHMyGwe4K9AOwcsNeDnQH2dLDfSHXCIiIiIiIi2aSAxt8lwG247ku7EDscCAF7ANcDH4A9Ko6xLfAz4Bafc5cB1yU62Vimj5re0LCpwTekwTKvsrrSW7g4NxmSXQETAu5MqYZNbikAHgBO9hy3wHTgNxmfkb+jgUeIDmcWk9q2ph1wW6NuxRVAvgSYA9wLrAD7D7De4EpERERERKRbUEATvy9xRRlfx3We8ZYP3wF4DOxx3gf66OwF9aW4wCcQ5buXN7aGNN4iuQbLb6uWVZ0f1LXSpWxY2dsG809cV6xE2Lxw3payvakAt3LmJM/xzgK/bDiG2OHMkUBNGq+9H/AQ2AVg+6XxOiIiIiIiIoFTQOPP4t6pvw5XR6MfmCFg9gWzP5i9gP6t516PeFwBcAfYgXFeI9aWlEuAG1J5ApFaQ5pTgYWeU8Yae2vlskpvTZycEyY8n8S+X8PAy5ePunxZmqaUSW0rZ/zCmVhb5rIhVjjzFsGEMx/i/j/cAMzFBZzPEB2WTgT+D2xBitcTERERERHJGAU0/i4EszeYy8E8DaYu+i6mxZ3jIODpiBPbAT+I8zptRV39Ou5cDNyY0Kw70RrSfB/4P88pg+GWquVVPwnqWulgsXdjSKT6YMhi56dtQplTADwIjPccbwtncqW17rG4cKbQczzVcOYzXH2mHcGMATMJzKVgSsFMB3ME8A3gGiCygtlhwOwkrykiIiIiIpJxCmh8mQRKVZtG3EqYSIcmcLG2kKbK59xFwK9IrkBulNaQZqKx5lHPKWOxv8nlkGbmiJkrsfyVOLc5GUxDo2l8MM3TSrcC4M/AiZ7jbW3bcyWcOQ54mOhw5lXge7iOZ0ky94G5DsyKTu6zFswvcIWTI//tTge7ffLXFhERERERyRwFNIEwHwKrIw4MTmKQMqDS5/iFuBfigYU09fX1k2KFNJXLK3/q+8Ac0NouO57vWWuxj5YPL/863XNKo0LgIeAEz3GLa9P+u4zPyN8p+K+ceQVXLDjeNvQBMI8BN0UcKAImZO76IiIiIiIiyVNAE5zI7TfemhjxmgFU+ByfhntBHlhIU7K2ZCKWRzynDHBz1fKqnwVxnaAVFBQ8AqyLoyuTaQ1zuqtC3MqZ4z3Hw8DZuA5juWACcD+u9Xekl8l4OLPZTbgQq83hWZiDiIiIiIhIwhTQBMIOxdWeabM4hcFm4loHe03FvTAPJKSZuu/UpkFrB00yxjzsOWUs9tcV1RXTg7hOkC4eevEmg3kwbMMx/x8YjAXWlKwteTrWfXJc28oZbzjTggtn7sr0hGI4FbgP/3DmGGB9xmcEgPkCqI44sFN25iEiIiIiIpIYBTQpswbXUaYtNGgC7kxx0Fn4hzTnAbcT0Ndt6r5Tm0YMGzERw32eU8ZYc1NVdZW3tk7WhU34btNJRmWxxmDmT913alMGpxWUIuBxXE2XSG3hzB8zPiN/scKZl8hqOLPZqojPB2VtFiIiIiIiIglQQJMS+23gMeC0iIOlYIJo7TwL15nG61zcSppAvnYTzcSWkcNGnmGN/ZPnlLHW3lS1rKo0kfGu/fjakRWfVBwYxNz8lA0rewH4lI7bWDpoMS3dcXtTMa4N+hGe423hTK50pPo+Lpzp5Tn+IrkRzgD0j/g8F+YjIiIiIiLSJQU0cbFVYP8a8fEm2P8Cr9O+2qEWmAImsNbYwC+AX/ocP5cAV9JMNBNbdh6284+Ae73nrLGVlcsqy+IdqyWv5bcmZP42Z/mc7bq+d+Ja68/cjf9WL4vh/ZnDZ76TjmunUWfhzFnkTjgzEfgT/uHMsYBPO/pMs/2AnSMOrMzWTERERERERBKhgCY+e+NePLd97EP71okW3IqWYWDuSMO1rwRm+xyfAvyeIFfSDB/5Y+CeqJOGiqrlVTO6GqP8vfICLAcDvQ0mfTVswszHfwWNsdamur0s04pxq7C8xWxbgDNxYVQumIQL8LzhzAvkTDgDwGRce/I2L2VrIiIiIiIiIokIpODsls8uAo7q4k7vAFeASVdx2nLgKp/j83ArasJBXOQB+0Desupld+Fe6HrNKhtR5lcbB4CqT6q+Y0P25dab60KNoW9csesVadliUlld+QqWA+j4PWxb8luGzho664sAL/U5MCTi9s+BmwMauxhXc+Ywz/EW4Mf4rGjKkh/ggiK/cOY4ciacsTsDrwFbRRz8HzBvZ2lCIt3ds8Bhw4YNY8cdd8z2XALX0tLCyy+7X1n77LMPffr0yfKMgrdq1So+/PBDCgsL2X///bM9nbT44IMPWL16NUOGDGHkyJHZnk5aLVmyhNraWohdq1AkXt/BNXbg4IMPzvJU0qO6upoVK1aw1VZbsfvuu2d7Omnx5ptvsnHjRkaPHs3gwYOzPZ3Abdq0iTfeeAOAsWPHkp/vLX+55Vi3bh3vvOM2gSigiYvdm44v+gYBo3GthCPrrVhcSHNdmiZyBVDlczwdIc2dwBnecwbzi9IRpX61cahYXnGzwWxu0W2xl80YMeP6IObkVVldOQ3L7yImFsbydNmIsmMCvlS6Apo+uJUzfuHMj3BbiXJBrHDmr8B4YFP6Lm0rWsf/A5j/dHHfI3AdriK/Vo+AOSVdsxPpAZ4l+meUiGSfAhpJ1eaARkRyiwKalNlDcduCIl8YHg/miTRdMFZIcx8uUGkJ4iKtIc08XFjgdWXZiLIOtXHK3yvvW1hU+CXQFzCtgcnKhk0Nw8p3L28MYk6RqpZVDbDYlRgKNx+0nF42sszbkSpV6Qho+uBWzhzqOd6C+xoG/RySdRounMnzHH8aOIm0hjMA9ve0B4+vAa8C7wH/BTYCA4DdcKt4vG8Nfw6MBfN5eucoskU7Axie7UmkUR5wkOfYUqCLQLhb2Rb3czLSK0Dgv5ezaDfc82yzDlicpblkyrNoC6+k5hu4JhRbsuHAThG3G3E//7Yk38a9rmjzJfBRluaSDkVE/43/T9xrgS2W911xSZh5HuzhuD8GilsPXgv2L2BidhpKwVzcSp25nuOn4QK3M4DmVC8y0UxsecA+cPay6mUWt90m0uzK5ZVEhjQFxQVTsPTbfA9LCNi+oKjgDCDw2jylI0trK5dXLjSYU621BkNdQ1HD/wV9nTSIFc404VarPJzpCcVwFvAHomscLQJOJu3hTAch3Ds934nz/h8DJyucEUlZrtTAEhGRYH2Of41LEckyFQkOhFmKezHbZjcgnZsdrwUu9zkeaztKUiaaiS0NwxvOxnKXz+nZVdVVVwLM+XTO9saa2ZioLVZhg7m83Jan5fvMYO62WIMBg1lQvkP5xnRcJ0B9gCfwD2cmkTvhzNnEDmcysHJms6VATQL3X4v7t7E3mPfSMyUREREREZH00Aqa4DwLRHYu+hbwrzRe7zrcShpvvZsf4FbSTCaAlTTlpjxsrT27anlVPYZpkeestVdXVlcaEzbfDBPuZ2zUjrkQMLpgecFJpCF8KKkpeapmUM0aYOuwCef6O739cQHHAZ7jjbhw5tGMz8jfOfh3B3sKt3KmPnNTMTeAvREXdh6ECz63BgYD/XBB0Vrgfdz2p7+CyfWQTkRERERExJcCmuDUem4X+94rWNfjQhpvId5JuJDmhwQQ0hhjrLX2gspPK62x5vwOJy3lFouJVc7Iraq5gjQENFP3ndpUtazqBmvs0WXDyl6YQZedwJOxFrf/sU0yq0cG4AKOXA9npgC3Ex3OPAmcQkbDmTbG4oLOdIadIiIiIiIiWaciwYGxP8QVC24zHszCDF38YuAGn+MPEFBIA2CtNVXVVbcAFyT62HAo/L2Zw2Y+F8Q8upkBuJUz3gJXjcBEIFfq5uRgOCMiIiIiItJzqAZNcE703F6awWvfCFzic3wirl1zICuljDG2dHjpT4HfJvhQGwqH/GrmbOk6C2e+T3rCmT1x7btLEnjMufiHM38h49uaREREREREeiYFNFFsEmGGPQo4NeLA0tbCwZl0I24ljdf3cW2b84O4yK8+/1UJHdu5xcMA4+ZUz9kriDl0EwNx7ahjhTPpWl11DXA8cHSc9z8P/3DmCdzKmYbgpiYiIiIiIiKxKKCJdhbYR8F+D2xe53e1+WB/hqshEvn/ck4a59eZXwHn4+rSRDqVFEOa29+8Pb+yuvLMhqaGpUS33Y5LiB6ziqYtnNnPc7wR97VIVzgzBjiu9fMD47j/VOA2orc6PgFMQOGMiIiIiIhIxqgGTRTb9qIVYDXwMq5A6Re4QsC9cZ1kvgUcC2zlGeBh4NTW4qbZMhX4HdFf34eA03BtneNSUV2xq8FMwjIN1z0nTJLBnsWGTZ4ZVbZT2fJkHp+EQmAUMBLYDrfypw8uwNrQ+rES+BhYhgtQUtUWznzbc7wBF848HsA1YpmP694F8AGdt3qfhtuqlvL3iIiIiIiIiKROXZw6tw1wUutHPP4InJflcAbclhVL9OqICcAjdLE6Yu5nc3cIN4dvBA7HsnXr4bbnlPSqK4MJ0cIlwE+SHaML2wOHA4fh2jKPALpYBbVZM/AJ8AKuZfpzwKoEr1+CC2f29RxvwP0/fyLB8RIxFBestH29d8N1jXrN574X4rbEecOZPwOno3BGREREREQk47TFKdo/cKtgNsR5fws8D4wDcyaYIFZhBOH3uJU03rDoONwqicKYj2xhR1z9ka0jjqa82soYY4Gzr/vkum1THStCP+AsXKDyOXA3cDZu5Uy84Qy4sHJXXE2W+4EvcQV+JxNfy/StWufgDWc2ASeQ3nAG4FI6Bq4Wt93N6yLcVjiFMyIiIiIiIjlEW5xisvnA/+BecI/Grc4owXW0WYfb8vQO8DKYf2drlnE4F7eSxq9DT8wisHOWz9kuZEPnY7gQ140o6a1NfsOXjSibleIY2+LafbfNL53WA3cClcBXMe5TjAthDo04thEYD/wtnZPDBWmfAUWe483A3rgtehC7HfuDuHAmkHbsIiIiIiIikjgFND3DFPw79TyJC2litlGe++HcfrbQnm3D9jIMQ0g1qDFYLHXGmqGlI0trkxhhAFCOq6HSO87HWOBrYC3tK6P64urFJNKOegPwG1ynJL8VVn1wNWYOxYUzJwLPJDB+ssqBq3yOW+AV3Havi4Hrfe7zAPBDFM6IiIiIiIhklQKanuMc3LYnb7jyFHAynYQ04Lo4rR209jQMl1trdyf1FTWXlo0o81vNEYvBrfK4HlesuDPv4+rIvAQsBT7CBSZ++uJWSO2KCzK+13q7M5/hVu484nOuH267UBVuy1O69QFW4MKmWP+en6C9u1MkhTMiIiIiIiI5QgFNz3I28L8kGdK0qVpW9V1rbClwHJbEv4sMYSwrGzY1DCvfvTyemj0lwDw6L9b8Ia7+zD24ACUVO+Nqz0zGdYCK5V7cSp66FK+Xip8DN3VyPtZXaAHu+SmcERERERERyQEKaHqeWCHNIlwAEldIA1D5aeXehLkIw+lY8owx1lob//eU5ZyykWXzurjX/rgwYacY518AKnDzD5rBFfid0ToPP0uBicC7abh+V/KB5cAOJLaa6X7gDBTOiIiIiIiI5AwFND3TWcAfiH5R/zQupNmUyGC//PSXw3uFe12I5VwMRa0rZDoNDAzGWuwnDcMbdi035eEYdxuPCxP8as18APwUt5UpE44Hfo1r3e21HlfLJ93FgL1+hGvtnoi3cGFTS/DTERERERERkWQpoOm5TsNtCfK2ok4qpAG4fun1WzcVNJ2D5SJgO+KpUxPilLJhZX61XM7G1czxzq8JVxT3eiDTLc2LgFnAFUTPqxEXmCzI0FwM8E9gDInXAnoO14J7adCTEhERERERkeQooOnZfoALaXp5jv8dV1TWr1NRl27++ObCjXkbJ1nsTGB0zBU1hrCxZnHpiNJve85MBuYT/f25onXOryQzrwAdAvwJt7UoUgsu+HowA3M4AViY5GMtLlC6tfVjeVCTEhERERERkeQooJFJuMK63pDmBVxIk3QB3HJbHupd3fs4iy0DxsasUWM4rGx42fOtt47HdUfyzucl3JanmmTnE7DBuO5I/+M5Xg8cAzyf5uu/BIwltU5a4MKaRbhC0X/H1dKJteW3wNK8AAAJ5UlEQVRMRERERERE0kQBjYArcnsvaQhp2rR2fpqO5VRrrDHt33oWWFQ2ouwYYA/gVaDY8/DHcEFSwtuu0qw/8DBwuOd4LbAv8EmarnsgLqAJSuRWtGeJfj4iIiIiIiKSZgpopE2skOZF4FgCaiVd9XHV7vTiEiyTLTa/9bBdvWz1d2488sZ5uJoqkf6GC4kyXW8mXgW4lTRHeI6/CxxAekKlhbiVRkH9+21rxb0amInr8iUiIiIiIiIZpIBGIn0fV1vFb3vRsbhuRYGY+9ncHWyT/bk19nyg3wd/++Cj+efNH+2526u44GNjUNdNk4G47UF7eI7/Bpge8LXGAO8RzL/dtpUznwI34YKZXP9/LSIiIiIiItIjnIpbrWI9Hy8C/YK+WPnH5f3PufucW4fuNdR7va+A7VMYOgR8E5gAXAJUAbcANwO/xAUnhxDccxoKrKHjc2jB1YkJ0nyivzaJfoRb//sWrvOUtyOViIiIiIiIiOSAWCHNSwQf0hQCHxIdbByZ4DgGOBq4Glf0tpb4wopG4FFgXIrPA9y2o7bwo+3jXaJXJCVrKK7NeKrhzGNEb8kSERERERERkRw0gcyENFf4XOPGJMYp9Bkn0Y9Hcd2ZUjHPZ9zzUhyzza99xo53tUwjbvXNbgHNRUREREREREQy5Dhc22jvi/6XcR2MUlUMrPSM/R9gQBJjBRHQWKAaGJHsEwK2whXbjRzz37hiwqkYBGwg/ufR0vrf9bhgZ0iK1xcRERERERGRLIoV0rxC6iHNz33GnZzkWN6A5lPgPmAWrkX3EcC3gcNwHavmAh/5XN/iarOksi3ppz5jnpnCeADlPmN2Fsx81fqYgSleV0RERERERERyxLH4hzRvAiVJjmlwq1Uix/uI5AvWFgCP47YTfSOBOZyF/8qUC5KcB0Bv4AvPeEtSGK8Y+C/R9W38tjL9E1f4N993JBERERERERHp1o4BNuEf0gxKYrxDfMaaEshME3cU0eHHP1Ic82Kin99eSY7lt9LIG8y8DJxAMO23RURERERERCSHnYD/Spp/kHjh4Ds8Y9TiVopky0Kig48+KYw3ANjoGfOGJMbJBz6jfetSZCjTguvItF8K8xQRERERERGRbuhoolfS3AmEEhgjD6jxjHFHsNNM2PlEB0+jUhzzQc94/05ijDOIDmY2ADcBO6U4PxERERERERHpxiJDmvtIvG7MPkSHIYcHOcEkTCB6TrunOOYpPmPunMDjDfCviMeuAmaQ3JYyEREREREREdkCHQ38L8kV9b2cjqHFJqAouKklZSrRW5ySLYDcZiDQ7Bn3vAQevxXQiCuefC6u+LCIiIiIiIiISCAepmNo8Ux2pwPAnwmu61KkNzzj/jHBx29LYtvHREREREREpBvSCz/Jhl09t1PtmJSqQ4CTPcd+F9DY3ue2S4KPX4VbzSMiIiIiIiIiEpg8oIGOq0p+nKW5GFwR3nWe+bxEclu3/Ez3jL02oHFFRERERERkC9Ir2xOQHmcoUOA59lGarlWCK0jsPbYV8E3geKI7Ib0CnIhrYR2EpZ7bA3FFfmsCGl9EREREREREJGF7Ed3ZaHiarnWYz7VifawELiX40DKTz1dERERERES6Ka2gkUzr63OsLuOz6Og5XDizOA1jr/c51j8N1xEREREREZFuTEWCJdP8ApoNGZ9FR4cBbwHPAnsGPLZfQNMv4GuIiIiIiIhIN6cVNJJpjT7H8tN0raXA1IjbvXCrVwbjth6NpWM9nMNwXZemAPcENAdvvR1wRZJFRERERERERLJmP6JrsgzJ0ly2AypxoVHkfJqBYwK6xm5EP19vm3ERERERERERkYwaQ3RgsXtWZwSH4urgRM7pS6A4gLEPIHcCKRERERERERERwLWZ9gYWx2d1Rs65RM9rWgDj/tAzZhP+255ERERERESkB1ORYMm0r4FVnmO7ZGMiHncA//EcCyI4Gu25XY1/HR4RERERERHpwRTQSDYs9dz+VlZm0VEY18UpUhAdnb7pue197iIiIiIiIiIKaCQrlnhuH5KVWUTzrqAZlOJ4IeBgz7F3UxxTREREREREtkAKaCQbnvfcHgYMz/w0ovT13F6X4nh7Alt7jnlX6YiIiIiIiIgooJGseB63pSjS+CzMw2uM5/bKFMc7wXO7HnglxTFFRERERERERALzGh27Gy3O7nQYCjTTcU53pTCeAT72jPdUalMUEREREREREQnWT4lua71HluYSAhb6zOfkFMb8rs94Z6Q2TRERERERERGRYG0FNNAxwLg7ybF6Aw8Beyfx2AHAn4gOUz5pHTdZ3sCnjugaNyIiIiIiIiIiWXc/HUOMJmBEEuMURYzxBlAKfLv1uJ8QsBtwJfAV0eGMBY5NYh5t9sTV2Ikc7/YUxhMRERERERERSZu9iA4y7ktinMiAJvKjGVgOvAn8FXgBeAdYH+P+bR8XJ/uEWj1FdPA0MsUxRURERERERETS5nGiA5KjExwjVkCT6EctcG5KzwYm+Iyb7NYtEREREREREZGM2Au3wiQy0PiIxOq19AJ+B3xOcsFMHTAPGJLicxkErPCMvQnYOcVxRURERERERETS7iaiQ5P7kxjH4Oq//ASYD7wO1HjGbQHW4Np8/xbXWalfatPffO1HiH4e5QGMLSIiIiIiIiKSdv2BL4gON6YFNL4BSggmiImllOj5f0xqnaBERERERERERDLqEFxRX2+R3wnZnFScTsetzImceyMwNpuTEhERERERERFJxlVEr0LZCByezUl1YTwujPHO+8JsTkpEREREREREJFl5wEKiw456YGIW5xXLOUQXOLbAPbhtVSIiIiIiIiIi3VIR8CLRoUcLUEZuBB+9gAogTPQ8nwIKsjc1EREREREREZFglABv4d8S+y/ANtmbGkOAv/vMywIvk1h7cBERERERERGRnNYXWIR/EFID/BwIZXA+IeBHuBbdfnN6GoUzIiIiIiIiIrIFKgTuwz8QscBrwNFpnoMBTgLe6WQev8dtexIRERERERER2WL9BFcoOFZA8gZwBtAnwGv2xxUBfreT69bhVtWIiIiIiIiIiPQIe9P5KhYLrAfmAz8Etk/iGkOBHwP349p7d3atfwBjkn42IiIiIiIiIhFyoSOOSLx6AT8FrsatcOnKMmAp8CHwBS7A+br1XAmuZsxQYNfWj2FxjFmD6yb1B1wXJxERERERERGRHmk7YC6wjs5XuQT5UYMLhgZl4PmJiIiIiIiIiHQbg4CZwEekL5h5D7iM+FbsiIiIiIiIiIj0aGOBX+MClVQCmTCwBLge2Cejz0BERERERER6LNWgkS3RYOBgYDdgF2A0MJD2ujNhXAemWmAN8DGuTs37wIvA6sxPWURERERERHqy/wdC2tlg2L5kWgAAAABJRU5ErkJggg=="
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "53a05c72",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g38913.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "c7027ac3",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Serial performance\n",
|
||
"\n",
|
||
"This algorithm is memory bound, meaning that the main cost is in getting and setting data from the input matrix `C`. In this situation, the order in which we traverse the entries of matrix `C` has a significant performance impact.\n",
|
||
"\n",
|
||
"The following function computes the same result as for the previous function `floyd!`, but the nesting of loops over i and j is changed.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"id": "75cac17e",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"floyd2! (generic function with 1 method)"
|
||
]
|
||
},
|
||
"execution_count": 8,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"function floyd2!(C)\n",
|
||
" n = size(C,1)\n",
|
||
" @assert size(C,2) == n\n",
|
||
" for k in 1:n\n",
|
||
" for i in 1:n\n",
|
||
" for j in 1:n\n",
|
||
" @inbounds C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n",
|
||
" end\n",
|
||
" end\n",
|
||
" end\n",
|
||
" C\n",
|
||
"end"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "399385e8",
|
||
"metadata": {},
|
||
"source": [
|
||
" Compare the performance of both implementations (run the cell several times)."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"id": "907bc8c9",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" 1.777208 seconds\n",
|
||
" 2.967238 seconds\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"n = 1000\n",
|
||
"C = rand(n,n)\n",
|
||
"@time floyd!(C)\n",
|
||
"C = rand(n,n)\n",
|
||
"@time floyd2!(C);"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "ad811b10",
|
||
"metadata": {},
|
||
"source": [
|
||
"The performance difference is significant. Matrices in Julia are stored in memory in column-major order (like in Fortran, unlike in C and Python). It means that it is more efficient to access the data also in column-major order (like in function `floyd!`). See this section of [Julia's performance tips](https://docs.julialang.org/en/v1/manual/performance-tips/#man-performance-column-major) if you are interested in further details."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "0c95ea88",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Parallelization\n",
|
||
"\n",
|
||
"Now, let us move to the parallelization of the method.\n",
|
||
"\n",
|
||
"### Where can we exploit parallelism?\n",
|
||
"\n",
|
||
"Recall:\n",
|
||
"\n",
|
||
"```julia\n",
|
||
"n = size(C,1)\n",
|
||
"for k in 1:n\n",
|
||
" for j in 1:n\n",
|
||
" for i in 1:n\n",
|
||
" C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n",
|
||
" end\n",
|
||
" end\n",
|
||
"end\n",
|
||
"```\n",
|
||
"\n",
|
||
"- The outer loop cannot be parallelized since the operations at iteration $k$ require the result of iteration $k-1$.\n",
|
||
"- The inner loops over $i$ and $j$ can be parallelized at a given iteration $k$.\n",
|
||
"\n",
|
||
"\n",
|
||
"<div class=\"alert alert-block alert-success\">\n",
|
||
"<b>Question (hard):</b> Can we really parallelize the loops over `i` and `j` ? To compute `C[i,j]` at iteration `k`, we first need to compute `C[i,k]` and `C[k,j]`. In order words, it seems that the order of the loops over `i` and `j` cannot be arbitrary. The first value of `i` and `j` in the loops should be `k`. However, this is not really necessary, why?\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"id": "8d05b686",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"It is not needed to start the loop over `j` with `j=k` as none of the entries of the matrix will be updated\n",
|
||
"in this particular case. Rememebr: `C[i,j] = min(C[i,j],C[i,k]+C[k,j])` if we substitute `j=k`, we get:\n",
|
||
"`C[i,k] = min(C[i,k],C[i,k]+C[k,k])`. Rememeber that `C[k,k]=0, thus, `C[i,k] = min(C[i,k],C[i,k])`, or\n",
|
||
"`C[i,k] = C[i,k]`. In other words, the new value of `C[i,k]` will correspond to the old value.\n",
|
||
"The same is true for `i=k`.\n",
|
||
"\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"uncover = true\n",
|
||
"q1_answer(uncover)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "5f26f9b5",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Parallelization strategy\n",
|
||
"\n",
|
||
"As for the matrix-matrix product and Jacobi, any of the iterations over $i$ and $j$ are independent and could be computed on a different processor. However, we need a larger grain size for performance reason. Here, we adopt the same strategy as for algorithm 3 in the matrix-matrix product:\n",
|
||
"\n",
|
||
"- Each process will update a subset of consecutive rows of the distance table $C$ at each iteration $k$."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"fig-asp-partition.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "9a9e8c44",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:fig-asp-partition.png\" align=\"left\" width=\"250\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "9eab6b5d",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Data dependencies\n",
|
||
"\n",
|
||
"Recall: we perform this update at iteration $k$:\n",
|
||
"\n",
|
||
"`C[i,j] = min(C[i,j],C[i,k]+C[k,j])`\n",
|
||
"\n",
|
||
"If each process updates a block of rows of matrix $C$, which data do we need for this operation?\n"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g14170.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "5cf07baf",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g14170.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "db9a3294",
|
||
"metadata": {},
|
||
"source": [
|
||
"At each iteration, the processor needs the input values `C[i,j]`, `C[i,k]` and `C[k,j]`. Since we split the data row-wise, the process already has values `C[i,j]` and `C[i,k]`. However, `C[k,j]` may be stored in a different process. See figure below."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g12830.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "e17c5271",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g12830.png\" align=\"left\" width=\"225\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "a01872ef",
|
||
"metadata": {},
|
||
"source": [
|
||
"As we iterate over columns $j$, the process needs input from all values of row $k$. Therefore, at the start of iteration $k$, the whole row $k$ needs to be communicated."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g12957.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "3261af17",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g12957.png\" align=\"left\" width=\"225\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "9d1de618",
|
||
"metadata": {},
|
||
"source": [
|
||
"In summary, at iteration $k$ a given process will need row number $k$ which might be stored remotely in another process. The owner of row $k$ needs to *broadcast* this row to the other processes at iteration $k$."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g12703.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "8412a275",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g12703.png\" align=\"left\" width=\"450\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "2cf55de3",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div class=\"alert alert-block alert-success\">\n",
|
||
"<b>Question:</b> How much data is communicated in each iteration in this parallel algorithm?\n",
|
||
"</div>\n",
|
||
"\n",
|
||
" a) O(N²/P)\n",
|
||
" b) O(N)\n",
|
||
" c) O(NP)\n",
|
||
" d) O(P)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 25,
|
||
"id": "1bf4de56",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"It's not correct. Keep trying! 💪\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"answer = \"x\" # replace x with a, b, c or d\n",
|
||
"floyd_check(answer)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "eba45ea4",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Theoretical performance analysis"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "a15bc34e",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Computation complexity\n",
|
||
"\n",
|
||
"Each process updates $N^2/P$ entries per iteration. The computation complexity is $O(N^2/P)$."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"fig-asp-efficiency-comp.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "cc2668c8",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
" <img src=\"attachment:fig-asp-efficiency-comp.png\" align=\"left\" width=\"225\"/>\n",
|
||
" </div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "d89d2b45",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Communication complexity\n",
|
||
"\n",
|
||
"- One process broadcasts a message of length $N$ to $P-1$ processes per iteration. Thus, the **send cost** is $O(N P)$ per iteration.\n",
|
||
"- $P-1$ processes receive one message of length $N$ per iteration. Hence, the **receive cost** is $O(N)$ per iteration at each process. "
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"fig-asp-efficiency-comm-2.png": {
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"image/png": 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UiIiISBtlZt8gJE4XxBszbNgwpk2bxuDBg5MXmKSVl19+mdmzZ/PSSy/VNewD4Ep3fyZJYaWMEigRERGRNsbMBhKq6o0DYna4PfHEE5k2bRpnnnlmUmOT9PXHP/6ROXPm8NZbb8UbUgX0dfdPkxhW0imBEhEREWkjzKwvoQDA94GYHW6POuooioqKuOCCCwj1JERqVFRUcPHFF7N69ep4Qy5398XJjCnZ1BpaREREpJUzs+6EBrg/AvJijenbty9Tp05l7NixZGdnJzU+SX9btmxh4cKF3HfffWzbtg2Ak046iVdffbX20A+THlySKYESERERaaXMrDNwLTAViNnhtnv37kyePJl/+7d/o3379kmNT9Lfzp07eeCBB/j5z3/O5s2bARg8eDDTpk2ja9eunHvuubVviVu2r7VQAiUiIiLSyphZe+AywjmnmI2aOnXqxGWXXcakSZPo3DlmbiVtWGVlJUuXLuWuu+5i/fr1ABx99NFce+215OfnA9R1FqpVUwIlIiIi0kqYWRbwXUIvpyNjjWnfvj3jxo2jqKiI7t27JzU+SX/uzpNPPsmcOXP48MOwG69fv35cc801XHLJJdreiRIoERERkYxnodrDWOA/gIGxxuTk5FBQUMDUqVPp1SvmopS0caWlpdx66637VpZ69+5NYWGhtnfWogRKREREJIOZ2TnAHCBmo6asrCxGjx7NtGnTOPLImItS0sb97W9/Y/bs2bz44osAdOvWjcLCQq644gry8mLWHGnTlECJiIiIZCAzGwrcBpwVb8yIESO48cYbOe6445IXmGSM1atXc/fdd1NSUgJAx44d+f73v88111xDly5dUhxd+lICJSIiIpJBzOxY4CfARfHGnHLKKcyYMYOhQ4cmLzDJGO+//z733HMPjz/+OFVVVfu2d1533XX07Nkz1eGlPSVQIiIiIhnAzPoTejldAcQ8yT9o0CCmTJmyr0qaSLRPPvmEu+++m9/85jfs2bOHrKws8vPzmTFjBkcccUSqw8sYSqBERERE0piZ9QWuB64EYp7kHzBgANdffz1jxowh1JMQqfHFF1/wy1/+kv/8z/9k165dmBmjRo1i2rRpDBo0KNXhZRwlUCIiIiJpKFKS/FlgJBAzK+rbty9Tp05l7NixKi8tB9iyZQuLFi3i3nvvZdu2bUA4Fzdz5kxOOOGEFEeXuZRAiYiIiKSnm4hTIKJ79+5MnjxZ5aUlpp07d/LAAw9QXFzMpk2bABg8eDDTpk1j2LBhKY4u8ymBEhEREUlPA+J+MGAAgwcPVvIk+6msrOQ3v/kNP/vZz1i/fj0ARx99NNdee622dyZQVqoDEBEREZGYXo/3wcqVKxk9ejQTJkxgzZo1yYxJ0lBVVRVPPPEEZ555JjfccAPr16+nb9++zJ07l2effZb8/HwlTwmkFSgRERGR9LSnrg/dnaeffprf//73jB49munTp9O/f/8khSbporS0lFtvvZW33noLgN69e1NYWKjtnS1ICZSIiIhIZqgC3geO2u9iVRUlJSX8/ve/p6CggKlTp9KrV6/URChJ87e//Y3Zs2fz4osvAtCtWzcKCwu54ooryMvLS3F0rZu28ImIiIhkBgeOBSYCn9T+sLKykkceeYRhw4Yxa9Ysvvzyy6QHKC3v7bffZuLEiVx44YW8+OKLdOzYkcLCQlauXElhYaGSpyRQAiUiIiKSAczM3L3S3e8FjiQkUhtqj9u+fTvFxcUMHTqUefPmsXXr1qTHKon3/vvvM2nSJM455xxKSkrIyclh/PjxrFixgpkzZ9KlS5dUh9hmKIESERERyQAWVQXA3XdHEqmvAdOALbXHf/nll8ybN4/TTjuN4uJidu/encRoJVE+/fRTioqKOOuss3jssccAyM/P5/nnn2fu3Ln07NkzxRG2PUqgRERERDKAmdmnn37aMfqau29199sJidTtwM7a923cuJFZs2YxbNgwHnnkEfbu3ZukiKU5Nm3axKxZszj99NP3/bmNGjWKZ555hkWLFnHEEUekOsQ2SwmUiIiISIYws5Gxrrv75+4+DRgI3EuMCn7r1q2jqKiIs88+m5KSEty9ZYOVJtm2bRvFxcX7Vg537drFiBEj+N3vfseDDz7IoEGDUh1im6cESkRERCRDuPuYej5f6+4TgeOBZYTCE/tZs2YNEydOZMyYMSxfvryFIpXGqi4CcvrppzNr1iy2bNnC4MGDefTRR1m6dCknnHBCqkOUCCVQIiIiIpnjQqDejqju/ra7jwNOJCRSB3j11VcZN24cBQUFvPbaawkOUxqqsrKSZcuWMXz4cIqKiqioqGDgwIEsWrSI3/72twwfPjzVIUotSqBEREREMsdh69atO7Ghg939zUgiNRx4PtaY0tJSLrjgAgoKCli9enWi4pR6uDslJSWMHDmSyZMns3btWvr27cvcuXN57rnnyM/PJ6puiKQRJVAiIiIiGSQ7Ozu/sfe4+wvufiYwCng11pjS0lJGjRrFxIkTKSsra2aUUpfS0lLOO+88Jk6cyIcffkj37t2ZOXMmy5cvZ/z48WRnZ6c6RKmDEigRERGRDFLfOah67n0WOAUYB7xX+/OqqipKSko488wzKSoq4rPPPmtGpFLbqlWr+O53v0tBQQFvvvkm3bp1Y+bMmbz88ssUFhbSvn37VIcoDaAESkRERCSzDFm7dm2fpt7s7lXuvgw4htCM95PaY6oLGgwbNmxfQQNpurfffpuJEyeSn5/Piy++SMeOHSksLGTlypUUFhaSl5eX6hClEZRAiYiIiGQWy87OPr+5k7h7ZaQZ71HAFGBD7THbt2+nuLiYoUOHMm/ePLZu3drcx7Yp77//PpMmTeKcc86hpKSEnJwcxo8fz4oVK5g5cyZdunRJdYjSBEqgRERERDKMmTX6HFQ87r7d3e8hNOOdBhyw3LR582bmzZu3rzfR7t27E/X4VunTTz+lqKiIs846i8ceewyA/Px8nn/+eebOnUvPnj1THKE0hxIoERERkcwzqry8vEMiJ3T3re5+OyGRuh3YWXvMxo0bmTVrFsOHD+eRRx5h7969iQwh423atIlZs2YxbNiwff99Ro0axTPPPMOiRYs44ogjUh2iJIASKBEREZHM07Fdu3YjW2Jid//c3acBA4F7gT21x5SXl1NUVMTZZ59NSUkJ7gf0621Ttm3bRnFx8b4Vup07dzJixAiefvppHnzwQQYNGpTqECWBlECJiIiIZCB3T9g2vjjzr3X3icDxhGa8B2RJa9as2VccYfny5S0ZTlqqLrZx+umn7yu2cfLJJ/Poo4+ydOlSTjyxwS27JIMogRIRERHJTGOAFu+06u5vR5rxnkhIpA7wyiuvMG7cOAoKCnj99ddbOqSU27NnD8uWLWP48OEUFRVRUVHBwIEDWbRoESUlJQwfPjzVIUoLUgIlIiIikpn6rVu3LmlLHO7+ZiSRGg48H2tMaWkp559/PgUFBaxevTpZoSWNu1NSUsLIkSOZPHkya9eupW/fvsydO5fnnnuO/Px8zFo8p5UUUwIlIiIikqGys7NbdBtfLO7+grufCYwCXos1prS0lFGjRjFx4kQ++uij5AbYQkpLSznvvPOYOHEiH3zwAYcccggzZ85k+fLljB8/nuzs7FSHKEmiBEpEREQkQ7n7mBQ++1lgMDAOeK/251VVVZSUlHDGGWdQVFTEZ599lvQYE2HVqlWMHTuWgoIC3nzzTbp168bMmTP561//SmFhIe3bt091iJJkSqBEREREMtcpFRUVvVP1cHevcvdlwDHAROCT2mOqCy0MGzZsX6GFTPD222/vK5CxYsUKOnbsSGFhIStXrqSwsJC8vLxUhygpogRKREREJHNlVVZWjk51EO5e6e73AkcBU4ANtcds376d4uJihg4dSnFxMTt27Eh6nA2xdu1aioqKOOeccygpKSEnJ4fx48ezYsUKZs6cSZcuXVIdoqSYEigRERGRDGZmKdvGV5u7b3f3e4ABwDTggOWmzZs3M2vWLE499VSKi4vZvXt30uOM5dNPP6WoqGhfE1yA/Px8nn/+eebOnUvPnj1THKGkCyVQIiIiIpltVFlZWVrtJ3P3f7j77cDXgNuBnbXHbNy4kVmzZjF8+HAeeeQR9u7dm/Q4ATZt2sSsWbP2JU579uxhxIgRPPPMMyxatIgjjjgiJXFJ+lICJSIiIpLZOuXl5Z2V6iBicffP3X0aMBC4F9hTe0x5eTlFRUWcffbZlJSU4H5Av94WsW3bNoqLiznttNMoLi5m586djBgxgt/97ncsXbqUQYMGJSUOyTxKoEREREQynLsnvZx5Y7j7WnefCBxPaMZ7QJa0Zs2afUUbli9f3mKxVBe1OP300/cVtTj55JN59NFHWbp0KSeemLTWWpKhlECJiIiIZL4xQNp3cHX3tyPNeL8JPBlrzCuvvMK4ceMoKCjg9ddfT9iz9+zZw7JlyxgxYgRFRUVUVFQwcOBAFi1aRElJCcOHD0/Ys6R1UwIlIiIikvn6rVu3LmOWTtz9r5FVs+HA87HGlJaWcv7551NQUMDq1aub8yxKSkoYOXIkkydP5uOPP6Zv377MnTuX5557jvz8fMzSPveUNKIESkRERKQVyMrKSptqfA3l7i+4+5nAKOC1WGNKS0sZNWoUEydO5KOPPmrU/KWlpZx33nlMnDiRDz74gEMOOYSZM2eyfPlyxo8fT3Z2dgJ+F9LWKIESERERaR3S+hxUXdz9WWAwMA54r/bnVVVVlJSUcMYZZ1BUVMSGDQe0mdrPqlWrGDt2LAUFBbz55pt069aNmTNn8vLLL1NYWEj79u1b5jcibYISKBEREZHW4ZSKioreqQ6iqdy9yt2XAccAE4FPao+JVQAi2ttvv72vEMWKFSvo2LEjhYWFrFy5ksLCQjp06JCc34y0akqgRERERFqHrMrKytGpDqK53L3S3e8FjgKmA5tqj9m+ffu+EuS/+MUv+Pvf/86VV165rxR6Tk4O48eP54UXXmDmzJl06dIl6b8Pab0sWbX2RURERKThzOzHwF3V77Ozs1m7dm19t/33oYce+i8tGliSmVk3oAiYBHSqa2xWVhajR49mxowZaoCbBG+99Rbnnntu7ctnuHtpKuJJFq1AiYiIiLQeo8rKyvJSHUQiuftmd58B9AduB3bGG3vrrbeyaNGijEmeysrKuPrqqzn88MMZN24ce/fuTXVI0gBKoERERERaj055eXlnpTqIluDun7v7NGAQ8BBwQLZRX3GJdPHZZ58xffp0zjzzTB5//HH27NnD8uXLKS8vT3Vo0gDtUh2AiIiIiCROpL/S71IdR0tx9zLge2Y2B3gFyIv6LFVhNcjmzZv5+c9/zuLFi9mxY8cBn6d7/BIogRIRERFpXcYAhUCr/m7c3Veb2WYg7SsPbtu2jfvuu4+FCxfuVzmwa9euuPsB1QQlvWkLn4iIiEjr0m/dunUnpDoIqSm7Pnz4cObOnbsvUerQocO+8ur9+vVLcZTSWFqBEhEREWllsrKy8oHXUx1HW1VVVcVTTz3F7NmzKSsr23c9JyeHgoICpk6dSq9evVIXoDSLEigRERGR1icf+I9UB9EWlZaWcvPNN7N69ep916rLq0+fPp3+/funLjhJCCVQIiIiIq3PKRUVFb179OixPtWBtBWlpaXcdtttvP76/gt/I0aM4Cc/+QnHHHNMiiKTRFMCJSIiKWFmXwdOdvdfpzoWkVYoq7KycjRwf6oDae1eeeUV5syZw/Lly/e7PmTIEGbMmME3v/nNFEUmLUUJlIiIJJWZ9QD+k1ApbKeZPePuFSkOS6TVMbMxKIFqMWvWrGHevHk8+eST+5UfP+mkk5g+fTrDhw9PYXTSkpRAiYhIsn0BHEuoBNsR+BHw07puMLP2wMXA4e6ucx0iDTOqrKwsr3///jtTHUhrUl5ezvz581myZAl799b08j3qqKO47rrrGDNmDGaWwgilpSmBEhGRpHL3vWZ2DzA/cqnQzOa6+4FdJQEzmwDcAhwKfDtJYYq0Bp3y8vLOohU31U2mjRs3snDhQu677z5279697/phhx0y4xcbAAAgAElEQVTG5MmTueSSS8jOzk5hhJIsSqBERCQV7gduAroDPYDLgF/WHmRmHYGfAQcB5cBzyQtRJPNVVVWNQQlUs2zZsoX58+ezePFiduyo+TlPz549mTx5MuPHjycnJyeFEUqyKYESEZGkc/ftZrYQ+D+RS9eZ2b3uvrfW0HxC8gRwf4zPRaQOZpYPXA14fWMltrFjx/LWW2/te9+1a1cKCwu5/PLL6dixYwojk1TJSnUAIiLSZi0Aqn+c+1Xgn2OMuSTyvw48nIygRFqZfuvWrTsh1UFksup+TllZWVxzzTWsXLmSq6++WslTG6YESkREUsLdNwCPRF26IfpzM+sGnBd5+0d3fz9ZsYm0JllZWfmpjqE1aN++PdOnT6dr166pDkVSTAmUiIik0p1AVeT1EDOLrvs7FsiNvF6c1KhEWhclUCIJpARKRERSxt3XACVRl66Pel29fe9L4ImkBSXS+pxSUVHRO9VBiLQWSqBERCTV7oh6PcbMvm5mhwJnRq69DlQmPyyRViOrsrLyglQHIdJaKIESEZGUcvcXgBWRt1nAVKAAqG6ocgbwlpl9KwXhibQKkWp8IpIASqBERCRhzCzbzMaa2cBG3npn1OvxwA9rfT4QeNbM7jOzg5sVpEjbNKqsrCwv1UGItAZKoEREJCHM7ArgHWAZcEojb/8f4N3I6zxgUOT1o8DH1Y8AJgCrzezfzMyaF7FIm9IpLy/vrFQHIdIaKIESEZFEuQT4WuT1Vxtzo7tXAXfVulwFXEdIpm4Hqpvo9gQeAv5sZoMQkQapqqoak+oYRFoDJVAiIpIor0a9HtCE+x8ENkS9f87d17r7dnefRjgLtTrq8zOAV83sZjPLRUTqFDkHpZVbkWZSAiUiIg1mZl+r4+NXol7XNS4md98BFEddOsrM2kV9vgI4CbiVmqp8ucBPgDdUZEKkXv3WrVt3QqqDEMl0SqBERKReZnaBmZUC75rZZXGGRa9ANTqBivgFsD3yuj+hme4+7r7L3W8CBgMvR300EPiNmZ3axOeKtAlZWVmqxifSTEqgRESkIW4EhhO2/9xrZufEGLMG2Bp53dvMOjb2Ie7+ObA46tJ1cca9CZxOKHn+BvAj4Ah3fznWeBHZR+egRJpJCZSIiDTEe1Gvc4D/a2b7bQWKFIJ4PfLWaGQhiSjzgD2R14Pjbc1z973ufpe7n+juv4xsARSRug2pqKjoneogRDKZEigREQHAzLrW8fF7td53AUrMrE+t6806BwXg7h8CT0RdirkKJSJNklVZWXlBqoMQyWRKoERE2jgzO8nMfg18ZmZnxxn2btTr8sj/Hg48aWYHRX3W3Ep81aIb655nZsc1Yy4RiRKpxiciTaQESkSkDTOzI4C/EHo45QJLzOzwGEOjV6AWRu6BUBVvaVS1vOgVqKZu4SNylul5YBMwB/isqXOJyAFGlZWV5aU6CJFMpQRKRKQNc/ePgIuoKQveA3gsRl+l6ATqcOA7wNuR9xcAP4+8/l9gV+R1UyvxVbscONzdZ7h7RTPnEpEanXJzc0emOgiRTKUESkSkDbAgZlU8d/8DcGXUpSHAglpjvgA2Rt4eFXk/mprGtxPN7AZ3rwTejFxrVgLl7u+7+9b6R4pIY7m7tvGJNJESKBGRVsrMDjGza81sJbAN2GZmO83sD2Z2iZlZ9Vh3fwD4adTtPzCzK2pNWb0KNSByzwfAhdT0bZptZhdTcw7qiOhGuCKSPiLnoKzegSJyACVQIiKtTGS1aQoh4ZkHfBPoEPk4FzgX+DXwgplFlzP+KfCrqPc/N7PBUe+rE6i+ZtYBwN1fAsYDVYRvxhYDnSLjcgjb/UQk/fRbt27dCfUPE5HalECJiLQiZpYNPAz8DOgG7AWeA+4C7gXWRg0/DVhhZj0B3N2BHwL/L/J5HqHf0yGR99UJlBG1Pc/dn6Cm1HgecGnUM5p7DkpEWkhWVpa28Yk0gRIoEZHW5RbgXyOv3wJOdvdz3H2qu08kVMabQVgxAjiSUHkvCyByhukiahriHhH5PJv9C0kcFf1Qd/8ZNYUkoimBEklfY1IdgEgmUgIlIpKBzCzbzAbUunYkUBR5uwE4293fiB7j7nvcfTYwKerytwjb8KrHbCFU1qterRpFSMyie0Htl0BFTAF+W+uaEiiR9DWkoqKid/3DRCSaEigRkQxjZhcBHwEv1Wpi+wOgumjDfHffcMDNEe5ezP7Jzq1mlhP1+SeEJGpz5NJ04Nio8Qc0yXX3vYTte3+LXPozByZUIpI+siorKy9IdRAimUYJlIhIBjGzfwWWAocBBwPRlfKGRb3+cwOmKwL2RF4fTihLvo+7v0Xo97SbcO7pLsKZKoi9AoW7bwPygVPd/Sx3L21AHCKSIpFqfCLSCEqgRETSnJmdZmbfjqw23U1N6eEvgK9EDe0V9bre/knu/g7wZNSlf40x5k+EhrYOdAWyIx/FTKAi96x397/W93wRSQujysrK8lIdhEgmUQIlIpKmzOwYM1sOrCAUaPgXoDthFagI6O3uN0fdsjvqdb8GPuaRqNenxxrg7v8FzKx1uU+8xrwiklE65ebmjkx1ECKZRAmUiEj6+hyo7sM0APiPyOsid78jUjEv2uqo1yMb+Iw/R73uY2ZdYg2KFJ5YGHXpPaBzA58hImnM3bWNT6QRlECJiKSpSBGIh6IuHU4oHrEgzi0vRL2+xMzaxRkX/YyNwPaoSznxxgJXE7YQfhf4urt/Vt/8IpL+IuegrN6BIgIogRIRSXfzqOnZBPB0jJWnakuB6s/6ABfXN3mk8l77yNsdwJfxxrr7Xnf/sbs/7u5V8caJSMbpt27duhNSHYRIplACJSKSxtx9DfuXAj+sjrGfAY9HXbqlVpnzWEZQU/r8r+6+p67BItI6ZWVlqamuSAMpgRIRSX93RL0eY2Zfr2PsTdSUJj8S+KWZxdyaE9nid0vUpV82K0oRyWQ6ByXSQEqgRETSnLuvIFTig/Dv9tQ6xq4B5kRdGg88bGZdo8eZ2aHAf1PTO+qPwLJExSwiGWdIRUVF71QHIZIJlECJiGSGO6Nejzezur7RuRl4Our9vwIfmdkSM7vDzB4H3qemce4rwCXuvhdJS2aWa2ZfMbMjI+Xth5jZWDP7d5WTlwTJqqysvCDVQYhkAiVQIiKZ4X+ANZHXecA18QZGEqF/Ae6PutyVUFTiushnHQhb/YqBMyIV/yQNmdlwwp/9auAN4DXgZeBRwrarnamLTloTM9M5KJEGUAIlIpIBIlXv7oq6dGVdBSLcfbe7TyAUiVhGTXW9PcDbwFzgOHe/2t23tVDYkgDuvpxQQv6gyK8cwp/jQ8A4VUSUBDq3rKwsL9VBiKQ7JVAiIpnjIaB6pehg4Ir6bnD35e4+zt27EVauOrr7IHe/wd3facFYJQHMrI+Z3UxYTawuDvIP4A53v8zdPWXBSWvUKTc3d2SqgxBJd0qgREQyhLvvAH4edWlKQ5rlRt2/q44eUpJGzGy4mT0KvAN8FRgFPAB8Acxy9xmpjE9aL3dXNT6ReiiBEhHJLMVA9Za7/sDY1IVSPzPLM7MrzewlM+uZ6njSmZl1NrMfmtmbwK+AVUB/d/93d38dcGCmu99e9zxkm5Hd8hFLa2Rm+UDM1gciEiiBEhHJIO7+BeGb62rT4vV5ShMGzAJOBb6f4ljSkpkNNLM5QBlwEaE319Hufru7b6we5+5T3X1h/HnINaMfcCLQq4XDltarX3l5+fGpDkIknSmBEhHJPPOoOQ9zInBWCmOpU2Tb4cORtz80M33dAcwsy8zOMbMS4CXgK8Bwdx/l7ssaU1LejM5mDABOAA4F2gE9zbSKIE2TnZ2tbXwiddAXMhGRDOPuHwJPELbyLQDeS21E9VpI2H5WfZanzTKznmZ2A/AB4c/uWaCvu09099UNnwczo7sZxwGDCEVFohOm9sAhCQxd2hYlUCJ1aPDhYxERSSvXAVdFb/FKJjPLAf4Z2O7uT9U11t3fNrO/ACOBq4A/tHyE6cXMBgM/BAqA/wdMcPdnGz8P7YGekV/1fQ3vDXze2GdIw5hZe6AbYfWw+lf0+87Ab919RcqCbLohFRUVvXv06LE+1YGIpCMlUCIiGcjdP07Vs80sl9DY9fDI+8XAFHffUsdtCwkJ1Ggz6+vu5S0eaIpF/jtdCEwGvgY8CBzv7msbPxedgB5Adxq+e6SjGV3cqevPpU0zs47ETn5qv4/1ulMDHjESGJrouJMgq7Ky8gJC5UcRqUUJlIiINIq77zKzl4gkUITiEGeb2eXu/lyc254APiMUN5gA3NzigaaImfUhrDb9CPgYmA8saWwJ+cgZpq6ElaQuTQynN7TuBMrMulJ3wlPXZ+1bMLTdwG0tOH+LMrMxKIESiUkJlIiINMUiQsW4aocDz5jZfcBUd98aPdjdd0dWqqYRiknMam09qcxsODAJOJ+QMI6KlB9v5DxkE1abetP8b/C7mdHBnR3NnCetmNm3gEcICXk6nufeBVzk7iWpDqQZzi0rK8vr37//zlQHIpJu0vEfHRERSX9/JGzjA/gt8CdCEYMfAm+Y2Rkx7lkI7CVUihuTjCBbWgN6NzViLjqa0QE4jpCQJmp1pDWWNB9E+HuUjt/H7AD+KcOTJ4BOubm5I1MdhEg6Ssd/eEREJM25uwP3Rt6eSTjrM5FQGfBI4E9mdk/kHFD1PR8RCigQGZuxGtq7qWFz0cWMgYTEqS+JL/zQw4ycBM+Zar8gbJFMt+2J24DR7t4qCqW4u6rxicSgBEpERJrqAWA74ZzOOHe/l9CXajnh68skYJWZnRx1z6LI/55rZkclM9jmSnDvpmwzeppxAvB1wrkcInN+CVQlMnRC1b5Ww4NfEnpfvZTqeCK2AOe5+59SHUiimFk+qJ+YSG1KoEREpEncfRPwWOTtlZFr7xMa+04jHKI/FnjJzOZESp8/CXxE+KbsiqQH3QRm1s3MJgPv04zeTWEucs3oB3wD6A/kxRjWncSvQvU0a31f8yOrmmcAS1McyhbgXHdfnuI4Eq1feXn58akOQiTdtLp/TEVEJKmqV5SGRHod4e573P12YDDwKqFg0Q2ElamjgMWRe64ws1gJRFows8FmtoiwTW8Y8AN3H+Tu97j7tsbNRdfINr0TCWd3susY3hIJVA6ttLGuu+8G/pVQJj4VNgJnuXu6rIQlVHZ2trbxidSiBEpERJos0iS0uljClbU+ews4DbidUDziVOAV4KDI++7Ad5IWbAOYWa6ZXWRmywmrZZsIvZvGNbbxrRlmRnczjgeOpmabXn2yCGXLNzfmeQ3QO8HzpY3I9snLgfuT/OgNhOTplSQ/N5mUQInUogRKRESaq7qYxCWRnjz7uPsud59GWMF5B+gAXEfNCkxaFJMwsz5mdjOwlrBadi9wuLtPa2zjWzNyzDgMOAn4KuH33Fg9CX2zEqmDGV3rH5aZ3L0KuAp4IUmPXA+c7e5vJul5qTKkoqKi1SbfIk2hBEpERJrrYcIZkE7A+FgDItubTiKsRkUXSDjDzI5r8QjjMLPhZvYoIbn7KuEcyynu/lATGt92MuOrhPNNh9G8XovtCdvutjdjjlha9TfCkT+zSwjb6lrSWuCMyCpra5dVWVl5fqqDEEknSqBERKRZ3P0fwJLI2yvrGLcjshr1beDjyOVKwta+pKmnd9NrjZsLM6OzGb0JBTO6k7iqZb0JqxyJ1NWMjgmeM61EVgwntOAjPiQkT++24DPSSqQan4hEKIESEZFEqC4mcZyZDa9rYOQs0QmE7VaHu/sDLR0cgJkdlcDeTTlmHEooCvF1YCvgCQ65IyHB3J3geVtjY10AzCzHzC4ibMNsCe8CZ7p7WQvNn67OLSsrS9uCLyLJpgRKRESazd1fpaYfT73nmtz9S3df6O6JXmHZT63eTX+lGb2bwnx0NKM/IXHqR9hqZ4QCEV8kNnogJDsbEjxn99bWWNfMukSVmn8UGNoCj1lNSJ4adSauleiUm5s7MtVBiKQLJVAiIpIo1atQF5lZj1QGEqd302FN6d0U5qObGV8HjiMUeKj99bMnUNHMsGPpBvyDULUwUYxWsgplZl8zs3uAT4C7CUltS3gDGOnun7bQ/GnP3cekOgaRdKEESkREEuU3hFWYXOB7qQggqnfTWuAc4AfAMU3s3dTOjEPN+AYwkFBaPJ52hGp7/2hi6HU5BDXW3U+t4h+TCAVMWsqrhGp7iV4JzCiRc1CJOt8nktGaUyFIRERkH3ffYWYLCInG/yTruWbWHvgn4IfA8YTCEMc0dauVGXmEFZoeNO4Hjb0JiVvnpjy3Dt2Bt0nsqlG7yLwZkxRE/TlPBb6ZpMeuIlRmbIntmZnm8PLy8uP79u37RqoDEUk1JVAiIpIw7n5zsp5lZn0ISdOPCFX95gNLGlt+vGY+uhCSoIY2vK0tl1BIYieQyAP3WUBXQlPfryRw3t5kQAIV6S12GSFxaswWvd3AUkIxju824dGlwOhIlUkBsrOz8wnbGUXatIxdvhcRkbYpwb2bss3oacbxhGp6TU2eqvUm8Q1wIZyxSnSyk2fW7N9vi4k637SOxp1vqiD0G/uqu/878N9NePzzKHk6gM5BtYyqqqr6B0laUQIlIiJpL6p30xvAgzSjd1OYj1wzcglNb/sTzi8lQmdC89s9CZqvWg6h4l+jznE1QNo11m3G+aZ3gSmEvxfT3H1d5Hpj/378HjhPydOBzOzUioqKtPs7k6lWrVrF2LFjWb26pq5NVpa+Nc8E2sInIiJpy8yOAq4gNEZ9FbgVeLyx5cdr5qMz4SzRV4ByQtGHRK/CVK8W9UnwvL0J1ea+lsA5u5jR0Z3tCZyz0Zp5vukFworTk+4eqxfX2zR8W+VTwFh339nIGNqKrMrKyvOBxakOJJOtXr2aOXPm8Mwzz+x3feTIkRx22GEpikoaQwmUiIikFTPLAr4FTAZGEM6xnOHu/9u0+TBCJbvehPMw1XoBH5L4BOpgQs+gQ0ls1bIOhHLmuwmrUYlQPVdKEqgEnG+6w93frGugu+8xsw+BQfXM+RhwaVPP0LUVkWp8SqCaoLy8nPnz57NkyRL27q35GdBRRx3Fddddx5gxYzBTocNMoARKRETSgpl1I5Q/n0JYMVgIXNzY8uM185FDWA3qReyvd+0JW+O2s39i1VxGWOHaSKh0l0i9CGesmtvvaFtkno3uxFq1aVFm9jXC9rwraFwJ8grgAWBB1Ba9hthVz+dLgfHunuitl63RuWVlZXn9+/fXKl0Dbdy4kYULF3Lfffexe/fufdcPO+wwJk+ezCWXXEJ2dnYKI5TGUgIlIiIpZWaDCdX0LgX+TOjd9Fyc7VgNmI+DCInGwdS/AtQbWE8oRpFIPYE1JD6B6krYxrcXaOx3XE6o5Lfena0JjqtBzGw4IXH6Do2L/12gGLjP3ZuyWlZXAvVr4HtKnhqsU25u7kjCWTGpw+bNm7n//vtZtGgRW7fW/F/ukEMO4corr+QHP/gB7dsnajFZkkkJlIiIJF0L9G6qXvXpDRzUiFs7ApUkdlschOSgE7CFuhvwNkV3wkpMQw/z74mM/8yd3fUNTrSoP+vrgFMbeXt955saKt7vexHwI3dXGbRGiFTjUwIVx/bt21m8eDELFixgy5Yt+64fdNBBfO9732Py5MkcdFBj/pmSdKMESkREksbMDgUmUtO76V4gv6mH9s1oR2h424umJ0C9CEUf+jbx/rrm/ZiWSaBWR+ava4VtO+H39bk7SU8Qos43XUfj/ts2+HxTI8T6M5gPTGlmYtYmRc5BXQPJ3/6ZziorK1m6dCnz5s3js89quhl06NCByy+/nKuvvpquXbumMEJJFCVQIiLS4qK2bp0PPEHo3dTo8uM189GRsE2uO81vydEN+JSmbYurSy4hwdlB4sqkE5mzurHuwTE+30zYprclxmctzswGEL65Ttb5poaoXRFxrrvfkOBntCWHl5eXH9+3b1811SX0cXrqqaeYPXs2ZWVl+67n5ORQUFDA1KlT6dWrV+oClIRTAiUiIi3CzDoDlwBXE76Rvhe4yt03Nm0+jLDK1IvE9y86BPg8MnciHUoo1tA/wfP2At6jJoHaS4h/vXu9BRNaRArPN9UXV3fCKmW1W939pkQ/p63Jzs7OB9p8AlVaWsrNN998QC+n0aNHM336dPr375+64KTFKIESEZGEaoHeTdnUbNMDaNI5qXp0J/QLSnQC1YkQ7x4S+zW3HaGv0UZCL6uN7jTpv29zpMn5pvpEFwiZ6e63teCz2ozIOahZqY4jVUpLS5k9ezavvbb/QvqIESP4yU9+wjHHHJOiyBJr5cqVvPHGG/zzP/8zPXv2THU4aUMJlIiINFuiezeFOckjJDTd2X9Fw2l4Y9SGyiKck9lEKEaRSC3RWPdLYIc7GxI4Z4Ol2fmm+rwG3AO84e4PJOmZrZ6ZnVpRUdG7R48e61MdSzK9+uqrzJ49m+XLl+93fciQIcyYMYNvfrOxfaDT02uvvcacOXN4/vnnAfjTn/7EkiVLUhxV+lACJSIiTVard9Mu4Jc0o3dTmJPOhK1v8Rrc9iZsizuiqc+IoxfwAYlPoL5CKPrQm+ad16oCvgA+dWdHIgJrrKjzTRNoXO+sljzfVCd33034+ymJlVVZWXk+baip7q5duxg9evR+10466SSmT5/O8OHDUxRVYr333nvccccdPPnkk0QvDEcXxRAlUCIi0gRmdjKhml6iejdlE84h9ab+laXOQDmJ3xaXQzhjtY3GFT+ojxHOKm1k/7M4DbWbmjLkKelVlIDzTfe6e0qSPmk5kWp8bSaBiv7n7eijj6aoqIjzzjsPs/razaW/Tz75hLvvvpvf/OY37Nmjlmj1afQXHjNrH/lpjoiItCFxejcd6+4fN31O2lNzvqkxX5N6EpKKQ5v67Dh6ExrVfi3B8/YA3qFxCdQ2wkrbRvfkl4vOkPNNklrnlpWV5fXv379JbQgyRYcOHfY1wu3Xrx/XXXcd3/nOd8jOTmTRztSoqKjgnnvu4eGHH6aysnLf9cMOO4xLL72UO+64I4XRpa86v1iZWRfgu8AFwBDCF6wOZrabUPL1JaAEWObudVb9MbPzgMvriWc34QvGJsIXjdeAVe4etxSrmR1J+EcaYLe7j6/nGbXvvxo4I/L2t+7+SGPuFxFp7SK9m/6dsHVrPc3s3RTmpBMhaTqEunsZxXMwNdviEvnj3w6EinYt0Vi3M+HsUl2NYJywUrXenYRXpGuIZpxv2gU8SigR/lYLhCbpp1Nubu6ZwB9SHUhLuvPOO1m2bBnf+ta3GD9+PDk5OakOqdm2bdvGr371K+bPn88//vGPfdcPPvhgrrrqKiZMmMCGDRuUQMURM4Eys2zgKuAmYv+0rD1h7/kRwDjgDjO71t3rOl02ALioCTHuMrNfA9fHKX3bLWrepmwPGBJ1/4dNuF9EpFWq1bvpd8BYd1/Z9Pkwwnmg3sBBzQ0vMtcXhCQskXoRfojXrwXmLSN2AlVJKEP+mTsp2eXRjPNNGwjbuOa7+yctEZukL3fPp5UnUBdeeCEXXnhhqsNIiB07dvBf//VfzJ8/n88//3zf9U6dOnHZZZcxadIkOnfunMIIM8MBCZSZ5QH/RdjnHO1TYA1hy0Rn4Bhqvrj0Bn5tZmcAhe6eyI7nucD3gaFmNszdNyVwbhERiWJmBxHONUX3bvqRu39e5411zokRVnaOJpwzSpSehK9LiU6guhK28SW6sW77yHzbqUlQthG+rn7uTiK/djZYJFG+ARhN41bz1gC/QOeb2rTIOahrIPnbTKXhKisrWbp0KfPmzduvIER1s9+ioiK6d++ewggzy34JVKQM7X8D3466/CxhJWpl7X3MkUPENwP5kUtXEr4wTK3nuS8DP6ojpq8ARxG2jJwSuT4IuJtQ7UlERBIo0b2bwpx0IuxiOAj4O4n/BiubkORtIZQgT6TuhMQm0Q17exO2QXYjbNPbmuD5GyRyvuliwtfrExp5u843SbTDy8vLj+/bt2+bb6qbjqqqqnjqqaeYPXs2ZWVl+65XJ07XXnstvXsn+p+51q/2CtQ09k+e6mw45+6vABea2Y3ALZHLPzazJ9x9ebz7gC3uvqqe2H5vZsWE1bCLI9fGm9lP3f2Deu4VEZF6tETvpjAv3QiJQnRS05Ww1asxZ2oaohfwMS2TQK2OzJ+oM1Z7CGegNrrT5BW95jCzHoTzyNcAhzXiVp1vkriys7PzASVQaaa0tJRbbrmFv//97/uumRljxoxh2rRpHHnkkSmMLrPtS6DMrB9hNanaPQ3t1u3ut5rZaYR98kb4iVZdCVSDuHtVpMjDhYTtDlmEikA/a+7cIiJtVVTvpsmEYgm/BC5x9yavhkTKkPcgJE6xii/0Bt4jNJNtTi+k2nIJX3d2ELYJJooRkr5NhIIVzbGTkDxuSOE2vaMI2zJ1vkkSzt3HALNSHYcEL7zwAnPmzGHVqv3XKkaNGsW0adMYNGhQiiJrPaJXoK6hZm96GTC9kXP9nJBAAXzbzNq5e7MLybv7RjNbDpwbuXRsc+cUEWmLYvRu+iHN6N0U5qQDITk6hLoToy6ExOpzwtmlRKpurNs/wfP2IiR9TU2gthC26W1OXEiNo/NNkgxmdmpFRUXvHj16rE91LG3Za6+9xpw5c3j++ef3u37aaacxffp0TjnllDh3HmjTpk0sXLgw0SG2Gu0ALHQAiz5b1JR/MF8kHDaudjDhJ1eJEP1Tr8b85ExEpE1rid5NYV66EBKXbo24rbrHUqITqINomca67QgrXFtpeNXAvYQy5J+5N6kybLNFnW+6jvBn3hg63yRNkVVZWXk+baipbjp59913mTt3Lk8//fR+zX5POOEEpk2bxsiRIxs819atW7n33ntZtGjRfuXNv/rVryYy5IxX/YXmaPb/gvZoYyeKVMebmIigYog+3ZaSfeMiIpmkhXo3ZUWtLsUAACAASURBVBNWmnoDeU2Y4hBCorOJUCwokXoSfmjXJ8HzHkqIeUA943YSVsE+d6fJhTeaQ+ebJJXMbAxKoJKqvLycefPm8dhjj7F3b80/OwMGDOD6669nzJgxhDWS+u3atYuHHnqI+fPns3FjTdegTp068YMf/IDCwsKEx5/JqhOooVHXNgJpU6TBzLoTDjdXez1VsYiIpDszG0w42/QvhN5NF7n7i82bk1xCgtKD5q3wWGSe9SQ+gfoKNY11E3nGKo9QPXAXYTWqtq2E388m99SUcdb5JkkT55aV/X/2zjw8yvLq/58TdgPKnrAJFkSwUixgEcpoW6GVQnzb0rIotSrSIGhYQjABrLgkhH1r1KggKlZw6e/VoLUFX7UDggsUXIooIAgIYUdZhGDO7497JjOTzCTPJJPJdn+uy8vJPfdzz5lMmOc5z33O97u7focOHUp9k8bijGPHjvHoo4/y5JNPcu7cuYLx1q1bM2HCBIYPH07t2s6+qr0qfRkZGezZs6dg3KvSN3nyZFq2jHTRQNXH+9v1v2P3eWXZtheRBsAyjEwtmBPY6xUXkcVisVQ+/LybxmFKzR4HJpXFu8m3Nh2JrM9SS0wZ32l83+2RQDCl48cwCnqRxGuse6nnZ8XcbDyoypkIv5ZjbH+TpZLRsF69etdTzU11K5LTp0+zfPlyFi9eHFBe16RJE8aOHcudd95JvXrB7vMURVVZu3YtmZmZbNu2rWA8JiaGQYMGMXXqVNq3bx/x91Bd8CZQ/ncCT0bhdRuISKhiyosxJ6vewG2Av8biPFU9UM6xWSwWS5VARDphdh283k0PA/+vLAI+HtNbb5neboxKXySpjUlwDgIdI7x2C2A7kU+gLgb2Y5T+jgCHVSmzSFJpsP1NlsqMqiZgE6iIc/bsWZ577jkWL17MkSO++2KxsbHcdttt3HPPPVx8sXMnB7fbTXp6Oh99FKg873K5mDFjhlXpc4A3gfKXfj0XbGKE+SmwM8xjVmEMfS0Wi6XGUo7eTXUwu0Nx+M4NrYA9mGQqUl5IeNb7GGhHcMnz0lILswN3EiNBHilOYW7YfhzBNcMiAv1Ns1T105ImWyxlQUQSMH+jNkGPAHl5eaxatYp58+aRm5tbMO4tr0tJSaFFixaO19u0aROZmZmsX78+YNzlcjF16lS6d+8esdirO96TpL/EaqOKCKQYdmK8BZbbO2YWi6WmIiKXYHblI+bdZNYlFpM0NaNoktQEY1J7jMiW8dXHqPflYpKoSOLdOStrAqUYsYuDqpTpd1wWytjf9Cjw10iUclosDrl037593dq2bWtNdcuAty9p5syZ7N69u2DcmzhNmjSJ+Pj40AsUYvv27cyfP5/Vq1cHqPT16NGD1NRU+vXrF8nwawTeBOqY35jzVLb05AL/DvHcBUxC9xnwPvBeCYlTnt/j0jQ31/F7XCEGhxaLxRIKP++mEcA7RMa7ydsvFE/JfUjxwAEim0B51/0c04NbK4Lr1vWsd4bS2V7kYcr0clUjXr7omDL0N30EZAHP2v4mS0VQq1atwZi/Q0spcLvdPPTQQ3zyiU8QU0QYPHgwqampXHbZZcUcHci+fftYvHgxzz//fIBKX+fOnUlOTg5Lpc8SiDfh2O431kVEGpTzF+/Hqjo0Qmv53xmsIyJ1VTWck56/t4c92VgslgonhHfTVRHwbqqD6Q+Kw3npXAtM/883mF6gSNEIsxN1xBNPJPEa6zq/0jAJ1yGMDHmF3EwrQ3+TAm8Ci7H9TZYKxtMHlVHRcVQ1PvjgA2bOnMnGjRsDxl0uF9OnT6dbN+dfCQcPHiQrK4tnn32W8+d9l8Rt27YlKSmJESNGUKuWs/tW+fn5HD58mLi4SH9NV228CdS7mN2XGMyOTG+MS71jRKQecJPf0D9V9ZsIxFgS3xb6uTmBxrsl4d9sHA0BDYvFYgmKn3fT3ZgE4HHgprLe0BLhIkx/U3PCl/iOwSRRB4lsAgUm0dmHiS2St0FjMWWOeQRWGRTGW6aXq1rkXBI1bH+TpTohIj85fPhwfIsWLQ5WdCxVgW3btrFw4UJycnICxnv16kVaWhp9+vRxvNaJEyfIyspi6dKlfPedT02+WbNmjBkzhtGjR1O3rrN7Z/n5+bz88svMmzePr776invuuYe0tDTHsVR3aoMxwRWRD4GfeMbvIMwECnO3zGvAq4TnTl8WjmGSKG/v1pU4TKDE7Fte6Te0L7KhWSwWS8kE8W4aWlbvJrMujTFJSlkTnziMB99ZAkWHykpTYC+mbLu8jHWDJSTfY3a+DqpGRTgpKH79TaMJ7/dq+5sslZmYvLy8gVhT3WLZsWMHc+bMKdKX1KVLFyZOnEhCQoLjtc6cOcNTTz3FkiVL+OYb395F48aNGTduHHfccQcNGjj7ilFV/vnPfzJr1iy2b/cVqK1du9YmUH749wwtAZ71PB4mInNUNRzFIf/dp8+itPuEqqqIfIrPDLg/sNbh4b0IbDSuMIUli8VSsxCR+sBQIBnTX/QkcFmEvJviMAp6kVK4q4tJdnKBDhFaE8yuUxymx6o8jHUPYH4P3l237zDJx6GKKtODMvU3bcX4N9n+JkulRkQGYxOooHz99dcsXLiQlStXcuGCzw2hY8eOJCUlMWTIEGJinBUKeFX65s6dy6FDhwrGL7roIm6//faw5c3XrVtHZmYmmzdvLvKcrQwOxD+BWgXcD3TCnCyfFZGfqeqJoEf6ISJtgSS/oeciGmXJbMSXQP1JRGap6nEHx030e7wf+CLikVksFosf5eHdZNalPr5eIiWy8uBgdrK2AW0pnWBPKLzGuqcI7EmNBM0wO031MbtNJZ7PygtPmfswIAW4KoxDbX+TpSryy927d9fv0KHDdyVPrRkcO3aMRx99lCeffJJz53wb361atWLixIkMHz6c2rWdfbV6VfoyMjLYs2dPwbhXpS85OTmsnqX//Oc/ZGZm4na7A8avuuqqADELi4+CT0pV80TkZozRXh2gO/B/IjJcVT8PtYCIdAZewbeTcwBTWhBNlmJqx2thTvJ/F5Fhqnoo2GSPj8p0jKqVlyfsiclisZQHIbybro9E34oIF2O+97xl04pJdOKIfF9RQ8wOTusIrlsLn7Fupwiu+z2Qr8reCK4ZNiLSErgdc5MxnN+b7W+yVGUa1qtX73qsqS6nT59m+fLlLF68mG+/9bVaNmnShLFjx3LnnXdSr149R2upKmvXriUzM5Nt27YVjMfExDBo0CDS0tLo0KGD49i++OIL5s6dW6SMsGvXrkyYMIGrr76a3r17O16vJhGQ6qrqByKSiGlcrg38GPhYRJ4D/hcjOXsIU8rRFfgNcDPm7h6YL/zbVNVfFr3cUdVPRGQupiQC4GfAThF5HiP7ux/TUNwMU7Z3C9DRb4kvgLlRC9hisdQIytG7qRbm+yyOor0zgkmmjmO+qyNJHMZjKZ7wxSiKw2usew5wdiURmnOY89RhVcq0q1cWPDcXxxF+f1Mu8Bi2v8lSxfGo8dXYBOrs2bM899xzLF68mCNHfP+UY2Njue2228Iur3O73aSnp/PRR4EK8S6XixkzZtC1a1fHa+3fv59FixYVkTfv1KkTKSkpBfLme/dW6P2nSk2RvUJVfUpEDgMrMLtKdTF3z24vYa2jwB9V9V8Rj9IZ0zClIN44G2JOXKNLOG4n8GtVPV2OsVkslmqKiLQGZqvqSL+xiHs3mXWph0liWlC8d1JLzI2hSCdQTTBiO8cIVDAtK/Uw55tc4NJSrnEKs4t1XJUKqyaIQH/TM6pqy54sVR4RScCIpNQovH1J8+bNIzc3t2DcW16XkpJCixbOLVc3bdrErFmzWLduXcC4y+Vi6tSpdO/e3fFaocoIW7duzYQJE8IqI6zpBP0tqepqT53+dIwiX6Ng8zx8AzwNPKSqhyMfojNU9XsRGQX8HzCDwB2mYJzElP49qKpWvtxisYSN53vyRSC3vLybzOvQCJM4NcHZRXltzK5HefQVxWESlUgmUGDEHrZjVPOcGusq5ubdQVXORDgex9j+JoslKJfm5uZ2i4uLqxECXd6+pMzMTL788suC8Tp16vA///M/pKSk0K5dO8frbd++nfnz5xcpr+vRowepqan069fP8VqnTp3i6aefLlJG2LRpU+66666wyggthpBppqd0YIKITAH6AddgTpwXA6cxJRLvA+863L15BfjM87hcSvw8J58VnpLDnp7/OmFiro3pzzoM/BdYZ1WMLBZLaRGRqzGCOVdidk52ElnvJsGU6cUDF5ViCa/HUiT7isAkTvuIvLFuQ0zSdxgTe3Gcx6emV5FlemXtb8pU1f+WR2wWS2UgPz8/gRqgcOx2u3nooYcCBBdEhMGDB5Oamspllzn39N63bx+LFy8uUl7XuXNnkpOTC8rrnOAtI1y0aBFHjx4tGPeWESYlJdGoUXF7JJZQlLhPp6rnMbs6/1eWF1LVvRCdZl5PIvWh5z+LxWKJKCJyPfAMvnKzlsDjqjqm7GtTx7NeHGVTu6uP2eGIRF+RPzGY+MrLWHcvoQUwTmOS1KMVXKZn+5ssFgd4+qAyKjqO8uLDDz8kIyODjRs3Boy7XC6mT59Ot27dHK915MgRsrOzeeKJJzh//nzBeNu2bUlKSmLEiBHUquVsc76kMsIpU6bQvHmkiwhqFrbQ0WKxWMJARG7CeOb5Jw8C/F5EPlfV+aVbl/qY8rWmRE49z1tu1z5C6/mvWx7Guk0wCZS/AIZ6fj6oSpnEN8qK7W+yWMJDRH5y+PDh+BYtWhys6FgiybZt21i4cCE5OTkB4z179mTq1Kn06dPH8VonTpwgKyuLpUuX8t13vq+HZs2aMWbMGEaPHk3dus5cKfLz8/n73//OvHnzisibjxgxgokTJ4Ylb+6/hiUQm0BZLBZLeHTCmN7uA05gLu73Y3ZHwtpV8JTpNcWIQuzFlOxFkos9sV0gst/3dTBxHwSc16aUjL+x7sWYcr5cVc4Xe1Q5Uob+pnxM5Ybtb7LUZGLy8vIGUk1MdXfs2MGcOXOK9CV16dKFiRMnkpCQ4HitM2fO8NRTT7FkyRK++eabgvHGjRszatQoEhMTadjQeQvrP//5T2bNmsVnn31WMBYTE8NvfvMbJk+eHJa8+a5du5gzZ05AgtigQSTvlVV9bAJlsVgsYVDaHSZ/RKiNSZri8BneXowRt7kk1HGlpCUmEWkV4XXjMf2k7YjsuSRWla9E+E8Fl+nZ/iaLJQKIyGCqeAL19ddfs3DhQlauXMmFC762y44dO5KUlMSQIUOIiXHm7OAtr5s7dy6HDvnsSi+66CJuv/32sOXN161bx6xZs9i0aVPA+IABA0hNTQ1L3vzAgQPMnz+fVatWBbzPDh068Je//MXxOjUBm0BZLBZLlBDhIkxC05yiPkpej6VIJ1BNMca68UTWWPcijPBDLqb0sKycwJTpfQNQUclTBPqblqjq0ZImWyw1iF/u3r27focOHapc+Woo2e9WrVoxceLEsGS/vSp9GRkZRcrrhg0bRnJycljldVu2bGHBggWsWbMmYLxXr16kpaWFVUZ4/PhxHnnkkSJlhPHx8YwdO5Zbb73VcRlhTcEmUBaLxVKOeMr0GuNTMQ1FXYx89xlKp7oXMgRMb9ExIl8iGA98idndKo2x7veYsseDqpwraXJ5Uob+pi0Yg2Tb32SxBKdhvXr1rqcKmeqePn2a5cuXF5H9btKkCWPHjmXUqFHUr1/f0Vqqytq1a8nMzGTbtm0F4zExMQwaNIi0tLSwyutClRF27dqVCRMmRKyMcNy4cWG9z5qGTaAsFoulHBChFj4ZcqdnoHjMTkYk+4rAlAvuIPIJVGPMeeSo5zWc8h2mrPCQKt+XNLm88OtvmgL8MIxDbX+TxRIGnjK+Sp9AecvrZs+ezZEjvpZWr+x3uOV1brebjIwMtm7dGjDucrmYMWNGWOV1ocoIO3XqREpKSljy5t73OWfOHA4f9lm4lraMsCZiEyiLxWKJIB41vRaYUj2nhrBeYjE9NHkYoYZI4TXW/ZbijdFLg1fpz0kCdRKz21Sh5uWe/qaxmFK9cLR8vf1NM1V1W0mTLRaLQVVvAu6p6DhCUZLsd0pKCi1aOL9HtHnzZjIzM1m3bl3AuMvlIi0tjauvvtrxWqHKCFu3bs2ECRNKVUaYnp7OV1/5PN6973Py5Mm0bNnScWw1GZtAWSwWSwQQoREmmWhC2XqN4jC7UG0jEZcfXo+lSCdQLTBKf6EEMPIx5YMHVKlQ83IR+REmafojtr/JYokml+bm5naLi4urVKa63oQiMzOTL7/8smC8du3a/OY3vyElJYV27do5Xu/zzz9n3rx5RcrrevToQWpqKv369XO8VqgywqZNm3LXXXdx5513Uq+eM4s/VWX16tXMmjWLXbt2FYx7ywinTp1K+/aRdruo3tgEymKxWMqICFdiBBUiQROMjHc+pesrCkU9jKfSdzgvKXSC4DPW9U+gzuOTIb8Q7MBoIKam5QZgPLa/yWKpMPLz8xOASpVApaamsmLFioKfY2JiuOmmm0hJSeGyy5xXUu/evZs5c+bwyiuvkJ+fXzDepUsXUlNT+eUvf+l4rbNnz/Lcc8+xePHioGWESUlJNGrk/D6Y2+0mPT2djz76qGBMROjfv3/YKn0WHzaBslgslrLzLZFLoMD0Kh3BJCaRJB6T6HSI8LotMUnfGUySlgscrWAZ8jL3N6lqTkmTLRaLM1Q1Acio6Dj88RdO6NevHzNmzODKK690fHxubi4LFizg+eefJy8vr2C8ffv2TJ48md/+9rdhy5uHKiOcMmUKzZs7rzjetGkTmZmZrF+/PmDc5XIxdepUunfv7ngtS1FsAmWxWCxlJ5fIyoS3AD4j8glUI8rHWLc2pn9rW0WKQkCZ+pu+A17E9jdZLOWCiPzk0KFDcS1btswteXb0+fOf/+w4eTp+/DhZWVksW7YsQPY7Li6O8ePHc8stt1CnjrM2Vm8Z4cyZM9m9e3fBuDdxmjRpEvHx8Y7fx/bt25k/f36ACS6Urozw5MmTPP7442zdupWxY8fSt29fx8dWd2wCZbFYLGVElfMiEZUJj8FInp/AKN1FkpbAIcIzhw1FHmanLFeV8xFYr9SISHdM4hRuf9NBIBvb32SxlDcx+fn5A4HlFR1IaSlO9nvUqFEkJibSsKHzYgS3282DDz7Ip59+WjAmIgwePJjU1NSwygj37t3LkiVLeP755/n+e999rM6dO5OcnByWSt+ZM2dYunQpjzzyCCdPGs2fY8eO8frrrzuOp7pjEyiLxWKJDAeJrEx4S4zHUqQTqCb4jHVL22N1GtPfdESV/JImlxe2v8liqVp4yviWV3Qc4eItr5s7dy6HDh0qGC+t7PcHH3zAzJkz2bhxY8C4y+Xivvvu46qrrnK81sGDB8nKyuKZZ54JKCNs27YtSUlJjBgxglq1nAnC5uXlsWLFChYtWhTwPoGAnTaLTaAsFoslIqhyWiSiMuF1MVLm5WGs2xSjjBdOiRuYHbGDqnxT4sxyxPY3WSxVll/u3r27focOHarE1bi3vC4jI4M9e/YUjHvL65KTk4mLi3O83rZt21i4cGGR8rpevXqRlpZGnz59HK914sQJsrKyWLp0aUBy06xZM8aMGcPo0aOpW7euo7Xy8/N5+eWXmTdvXoC8eUxMTIAohsWHTaAsFoslchwksjLh8Rhxho4RXBNMj9XnOEugLuBT06voMr044C5sf5PFUlVpWK9eveupAqa6brebGTNmsG2b7yvDK/udlpZGhw4dHK+1Y8cO5syZU0TevEuXLkycOJGEhATHaxVXRjhu3DhGjRpF/frOhVaDlRF63+fIkSMZNmyY47VqEjaBslgslgihynGRiMqEX4RJYM5jdqQiRS2M6MM3mF6rYHyH6ZU6VJFlehDQ33Qr4f1ubX+TxVLJEJHBVOIEyu12k5GRwdatWwPGXS4X999/f1gqfV9//TULFy5k5cqVXLjgc3Po2LEjSUlJDBkyJGyVvkiVEb7//vvMnDmT9957L2Dc5XLxl7/8hR/+8Ifs3bvX8Xo1jaglUCLyLtDF82OCqq4vbn6INQ5gvEwAfqiqByIVn8UgIrUxF01eOqhqhZbrWCxVjFwgko6EXmNd526Oztf9iqIJ1DeYMr0TEX69sChjf9N/gIXA86qaV9Jki8USPVT1JuCeio6jMFu2bOGxxx7j3XffDRi/7rrrSE1N5eqrr3a81rFjx3j00Ud58sknOXfuXMF469atmTBhAsOHD6d2bWeX4N4ywvT09IDyOm8Z4eTJk2nZ0rlg65YtW1iwYAFr1qwJGL/mmmtIS0vj2muvdbxWTSaaO1AXY5qXy/K6jfHdfYykwaQlkCZ+jyMly2yx1BQOA22I3PdrY0wZ3/eYnaNIUQ/z7/ssZnfrKKZM72wEXyNs/Pqb7gWc3+o1/U2vA4tUdW15xGaxWCLCpbm5ud3i4uIqlanu/PnzA37+8Y9/TFpaWliy36dPn2b58uUsXryYb7/9tmC8SZMmjB07ljvvvJN69eoVs4IPVWXt2rVkZmYGLSOcOnUq7ds7v1f3xRdfMHfu3CJlhF27dmXChAlhlRFaKlEJn4hkAJ08Pz6sqh8VN99isVgqI6rki0RMJtyL11jXebeyM5oCO4FzlcC/qbT9TaeAvwELVPWz8ojNYrFElvz8/ASgUiVQXrp06cK9997Lr371K8fHeMvrZs+ezZEjRwrGY2Njue2228Iur3O73aSnp/PRR4GXwi6XixkzZtC1a1fHa+3fv59FixYVkTfv1KkTKSkpYcmbW3xEM4F6AN/OxudBnr8B+Inn8RNRichisVjKh0NAKyK3g9scn7FuJNY8hekPOq6KljS5PIlAf9NiVT1WHrFZLJbywdMHlVHRcTRr5nOeaN++PcnJyfzud78Luy9p3rx55Ob6/IG95XUpKSm0aNHCcTybNm0iMzOT9esDu1xcLhdTp06le/fujteKZBmhpShR+82p6ovRei2LxWKpSDzGukcJXyY8FP7Guk1KmBsyLEyZ3kFVzkQorlIhIjHAL7D9TRZLjURVex86dCiuZcuWuSXPLj+mTJlCixYtiI+PZ8iQIdSpU8fRcd6+pMzMTL788suCcW/iNGnSJOLj4x3HsX37dubPn19E3rxHjx6kpqaGVUZ48uRJHnnkEZYuXcqZM76v+hYtWpCUlMQf//hHx/LmltDY1NNisVjKh4NELoECU763k/ATqDzMjliuKhdKmlye2P4mi8XiISY/P38gFWyqe8kllzBhwoSwjnG73Tz00EN88sknBWMiwuDBg0lNTeWyyy5zvNa+fftYvHhxkfK6zp07k5ycHFZ53ZkzZ1i2bBlZWVmcPHmyYPziiy/mrrvu4s477yQ2NtZxbG+++SaZmZkFP9syv0Bqi8hvMGaNAFtVNVh5HSLSA58Xybuquj/EvH6Y0hWAfaq6wTP+K3xqT2+r6mHP+E2YZuamfstcJyKNPY9fUdWQ3iMiEg/cAlyDubA4DLwHPFeWsg4R+TG+nqxPVfW/InIJMBrog/mdzVPVd4Ic2w+40XN8M4xh5U6MbOe/1b97jwK1qd/hE8bYpKq7QsT1E3wKX25VPRhi3vWYch+APar6fsnv2jkicgXwI7+hkDFbLDURVc6IFCsTHi51MN+VpzES5CVRmcr0vP1Nd2O+E51i+5sslmqKqiZQwQlUOHz44YfMnDmTDRs2BIy7XC6mT59Ot27dHK918OBBsrKyePbZZzl/3neJ27ZtW5KSkhgxYgS1ajnTDMrLy2PFihUsWrQoQN68QYMG3H777dx99900bty4mBUCef/998nIyOD99wMvG2+88UbHa9QEagNJwM89Pz+JSRCC8Si+HqWHgftCzFuOL9FKA7x/afPwOcb/DPAmHkspepd2ut9jbwJSBBEZC8wCGhZ66hbgIREZoar/CBFnSdyBOdkDzBCR1cD/I1BK+FV878Nby/8YEEoDMg34UETuUtUPvYOqqiKSAvT2DC0CQt0SWQpc5Xk8FZgZYt7z+BLZ8UDEEigR6Qa8he9CKAfzu7BYLIEcJHIJFBhj3a8JbayrwHFMmd6pCL5uqRCRqzGJk+1vslgshfnl7t2763fo0OG7ig6kOLZt28bChQuLlNf16tWLtLQ0+vTp43itEydOkJWVxdKlS/nuO9/bbtasGWPGjGH06NGOy+u8ZYQzZ85k9+7dBePeMsLk5GTi4pzrDoUqI+zZsyepqan89Kc/dbxWTaA25uLXm0C5gk3y3D3s5Tc0mCAJlIi0JvDEnlN4TgTJwJyUwRg+7gAuwZfgXAK8KCI/VtUvyvhaHYA3KKYcR0R+jkkivMnc95ikZR9Gjas35vfdC3hHRH5fKLlbjS+Bui7Ea3TAlzyB+RyKJFAicjm+5Mm7dkTw7DytwZc8/T9geHG7hBZLTUWVEyKcBRpEaMkGmO+Wwsa6eRiVvlxVKvTfou1vslgsDmlYr16966mkpro7duxgzpw5RWS/u3TpwsSJE8OS/T5z5gxPPfUUS5Ys4ZtvfNaajRs3Zty4cdxxxx00aOD8NOF2u3nwwQf59NNPC8a88ubhlhHu3buXJUuWFCkjvOKKK5g0aZJV6QuBN4Hyit93FpE4VS3c1DeQQN+l7iLSVlX3FZrnf+H/pap+SslcjjnBrgV6eMZ+B7zteRzKzPFW4BzwIPBXr9mriHTG1Mp3xJS5JANjHMRRHLd5/r8Zs0v3JSaZ2ux5zbbAC/iSp38Dt6lqQWehiLQDnsKoDV4E/E1EevjNyQEe8jz+kYhcoqq+IlbDoEI/9xaR5qp6pNC4fyL8aaRK60TkMszn5L2l8RJws73QsViKJRdzEyZS+BvrnsH0Nx1RJT+CrxE2fv1NqYBzjV3b32Sx1Fg8anyVKoH6+uuvWbhwIStXruTCBV/baMeOHUlKSmLIkCFhr1hZ7QAAIABJREFUq/TNnTs3oLzuoosu4vbbbw9b3vyDDz4gIyOD9957L2Dc5XJx3333cdVVV4U4sigHDhxgwYIFRd5nacoIayK1VXWHiGzDnPAEc/H9UqF5hS/cxTOWXWjc/8Ld0e6Tqp4AEBH/5uZTqnq8hEOPATeq6geF1vtcRKYAL3uGBjqJwwELgBRVDeaVch++3amPgYGqGqBypap7PV8UbswuVGOMtPutnue3isgeTH9TLaAvULj8sPDnUAvz/p4tNO6fyEZkF9CTJL4JtPUMrQT+qKoV2pRusVQBjmD+3URKtOdi4CvglCrfljS5vLH9TRaLpbSo6k3APRUdB4SW/W7VqhUTJ04MS/bbW16XkZHBnj17CsZLW163ZcsWFixYwJo1awLGe/XqxdSpU7n22lCdI0U5fvx4gUqffxlhfHw8Y8eO5dZbb7UqfQ7w/iXk4LtjeB1+CZSI1AV+6fnxv0Bnz3GDKZpA+V+4R6xsLARDCidPfmz0e3ypiFxUOKEJkxwgubD4A4CINARG+g1NDvVaqvqdiEzC7FABDBORiap61PPzaoyJJJjfZUECJSKx+EotP8H0kwnmcyicQPknsmX+HDwXSGsB757wCswOW4Uab1osVYEIGut+j0nGDqpyrqTJ5U0Z+psOAI9j+5ssFgtcmpub2y0uLq7CTHVPnz7N8uXLWbx4Md9+67sn1aRJE8aOHcuoUaOoX9/ZV5yqsnbtWjIzM9m2bVvBuLe8burUqbRv376YFQL54osvmDt3bpEywq5duzJhwoSIlhGG8z4tgQnUFM/jwn1QLnxN0CuBAZ6xX4hIA1U9CyAizfDJ0n6Dn7hCOVFcX1Mu5mLDu/d4CZTJ92RTsOTJQ29MSR4YBcCSSlDWAXsx5Td1gX7AK57ncvAlUIU/hxvwXaQsB0YAPYFfikgdbxmdZ6foB37xbKRsNAP+F7jC77XvrE7Jk0cF8ceYv5mPivmsLZbSkosRgHBW9xHId5gyvUOVoEzPv79pcJiHb8YI5Nj+JovFUkB+fn4Cpnon6rz00kvcf//9HD/uK3pq1KgRiYmJ/PnPf6Zhw8IaZaF56623yMzM5OOPfW9FRPj1r3/NlClTuPzyyx2vtX//fhYtWlSkL6lTp06kpKSE1ZfkLSOcM2cOhw8fLhgvbRmhxeBNoDZg7mw2x/TfNPaW1hFYNvYapnnZhUkafuEZA5MIeC8O/lmRogKq+r2I5OFLoMqziNPfFnqzqhZ7geNR3NuMT+zianwJ1NvAt0Aj4Br/BJWin0MjTALVGPO7f8vznH/i9XoEEp0cAv1aIrFmpUFE+mOUHL39dx+IyFTbi2GJJKrkeYx1nVvSmxtRB1VD9oFGDRGpDwzF9jdZLJYI42lvyKiI1167dm1B8lS/fv0C2e8mTZzb7YWSN7/++utJTU2le/fuIY4sSqgywtatWzNhwoRSlRGmp6fz1VdfFYx7ywgnT55My5Yti1nBUhy1oSDh+AfwR0wS1Bdz0gPfXcYDGIWk84DXWWsQvgQq7P6naoJ/zX9QT6Yg+It0FPhfqeo5EfkXMASzO9UbeNuzQ/Jrz7RdqvqZiLwO3O8ZG4QvgYp0/1Nhs8tHROQdVT0UdHYVQUT6Yv6OC+/0XQOsEZG1wNRiykQtlnDJpeQE6nvgKCZxqnBpX4/P3hhK3980X1W3l0dsFouleqCqvQ8dOhTXsmXLwgJmUWXJkiUMGlS41Tw027ZtIzMzs0hfUmlkv0+dOsXTTz9dpIywadOmBSa49erVc7SWqrJ69WpmzZrFrl0+DbHSlhFaguOfxuZgEigwF+GvexTtvHuOr3lKmz4Rkd0YVanBwFi/Y8BcAJTWe6kq4l8w6nTXzf/CqLBuZQ4mgQLzO30bs0vlFW/w9jR9iLkgi8N8DpM9496E4DzwL4fxlMRTmESqN2aXchGmhLDKISJXAjOA31O8vHJ/oL8nkUpW1Y+iEJ6lGuMx1j2JKSkuzDlMmd5hVSpcmMX2N1ksligSk5+fP5AKNtV1mqDs27ePxYsXFymv69y5M8nJyWGV1509e5Zly5bx17/+lZMnfcLLsbGx3HbbbSQlJdGoUSPH78HtdpOens5HH/kuWUSE/v37k5qaSteu4RQQWIrDP4H6Jz5vEW8y5F/j/rrf49cwvTrtPOaxOzE9JAAbgshqV2f8y2uc/pX7F5sWLs95HV//ljcZGlToeVQ137MLdTtwhcf76Ti+HaO3VTUSCl1LgT9jRCs2AXWA4SLyoqr+PQLrRwWPBPsDGJPlcPpQ+gObRORp4AFV3Vse8VlqDAcJTKBOecaOq1KhvXe2v8lisVQUqppABSdQJXHkyBGys7N54oknOH/ed7+8NLLf3r6kefPmkZvr23jzltdNmTKF5s1DWo8WYdOmTWRmZrJ+/fqAcZfLxbRp0/jRj37keC2LMwoSKFX9RkTewYhE9BSRi/BduJ8jUBzBm0DhmfOB31rlrb5X2fja77HTDsFOfo/3+z+hqodFZCPwU6CPiNTB9zmcxuePBeZzuN3zeBCwG9+uSqQ+h2RPX9fHIjILmO4Zf0RE/l3Zk2WPguB0TBIYUpfzF7/4BefPn2fdunXBnq4NjAJuEZFHgJmV/X1bKieqnBThNHAWU6ZXFnGbiGD7mywWSyXglzt27KjXqVOnClcYLcyJEyfIysoqIvvdrFkzxowZw+jRox3Lfnv7kmbOnMnu3bsLxksrb759+3bmz59PTk5gx0bPnj2599576devn+O1LOFRuBMtB5NAeaXLvTsg/y60m/EWRtXuIsydygaF1qhJ+HcNdhORZn6y5EUQkYsx4g/BjveSg0mgYoEbgZ94xteqqv+Xyxp8u4aDga2F1og06cAfMIp8ccBi4OZyeJ0y45GXHwdMJXDHL4AePXqQlpZWUKvsdrvJyMhg69atwabXByYBfxaRLCDDa+BssThFFScG4+WO7W+yWCyViIaxsbHXE7nWgzJTnOz3qFGjSExMDEulz+128+CDD/Lpp75TgLcvKTU1lcsuu6yYowPZu3cvS5YsiUgZoaV0FE6gVmMuisGUO9XxPH7Nf5LHz+hNIAFzce8tXdulqv8tZSyn/B4X7guqzGwDtmOSirqYC5L0YuaPxvf+9mBKXwqzGp9Qx8P4Ss4Kfw7fiIgbI3HuAtp4nvpEVXeH9S4c4Pnc/4zZBRNghIi8oKr/G+nXKi0e37LbgIeAkPIyl19+OZMnTy7yJeNyufjHP/6B2+1mxowZAT4OfjQE7gVGichczB34Cm/4t1icICI/BiYCw/F9xzvB9jdZLJZyQ0QSqAQJlLe8bu7cuRw65NPLKq3s9wcffMDMmTPZuDHQVcblcnHfffdx1VVXOV7rwIEDPPLIIzzzzDPk5fmqpUtTRhgpLlyo8LbdCiEggVLVL0XkY6Ab4F8wGXDh7jeWgOnV8X76Zdn18D8hX1qGdaKKR5Z8LvCEZ2iaiLhV9d+F54rItRgBAy/zVbXIX56qfioiuzB+Tt7PQQnsQ/PyGiaBqgt08YyV2y6gqv5bRB4HEj1Dj3reb8hdt2jg6d8YgpEkD3kbp02bNowfP77ELxmXy8WaNWuCSoD60RyT6I4TkYeBpdVJ4t1SffD8+xgEJGH6+sLB29/0t2DfVxaLxRIJVPUm4J4KfH1ycnLIyMhgz549BeOlLa/bsmULCxYsKKLS16tXL9LS0ujTp4/jtY4fP84jjzxSpIywefPmJCYmhlVGGCn8E82aSDAx+dWYBMrLdlXdEWTea5iLev89wrJcuPvLYk8SkVxMz8+Xqhp0G6ASsRT4HTAQs7v0LxFZAqzC3LWNx6i+TcCnaPU2kFXMmjmYZm4vW1R1f5B5rwHzgxxbntyLSZ5bY97bYow4Q9TxSLwPxuz6dQs1rzRSoDExMSQkJHDjjTcGNaHzox2QDUwQkfuBl6wZr6Uy4CllvRmz49SlhOn+2P4mi8USbS7Nzc3tFhcXVyGmuvfcc09AqV6tWrX4/e9/T3JyMm3bti3myEB27NjBnDlzWL16Nf6XAl27dmXChAkkJCQ4Xqu4MsJx48YxatQo6tcPRyi17Fy4cIEXX3yR+fPns39/sMtSFHPtW60JlkDlAGl+PwfbfUJV94nIR/iMZE8CRXZdwuDvGNlcwewgvOAZn4Ypk6u0eHahhgErMX5N9TCy4pNDHLIW+EMJuxWFE6hQn8PnIvIFPgGLQ8B7YYQfNqp6UkTuxnxmADd7SvleKe64SOMxwZ0J9Ao1p7RSoP7UqVOHkSNH8tvf/pbly5cX8Wnwoyvm7/Y9jxnv/5XqBS2WMuLX33QPfl5zDvgWeB7b32SxWCqA/Pz8wUCFJFDeBEVEGDhwIPfeey+XX+5UGwz279/PokWLWLlyZUBZW6dOnUhJSQmrLynSZYSRwOsvNXv2bHbu3BlqWh7wYIiNl2pFsATqPWAHvqbi4tTc/o6v3O7VEuRrv8HIbANFfU5U9U0RScSUuLX2eyrf7/EJTHJSeDwY4cwNxll88Z4tabKqfuup370ZkzgFs57+BFgAPO2g1OvfwF5Mvw0U/zm8jK+k7u8e1byycNzvcdCdFFX9fyKyEviVZyhDRP4vQtLpxSIi12ASpxtCzfFuuaekpNCiRUnepc6IjY1l3LhxjBgxIqhTuB+9gTc9HlL3qmqwPjeLJeJEoL9pkaoeL2myxWKxlAee66iZ0Xq92rUDL4Ovu+46UlNTufrqqx2vcezYsaDXBK1bt2bChAkMHz68yOuEwqvSV7h1wHtNM3nyZFq2DNneXW4E85cqhAIvAdNU9YvoRVZxSGWsNBKRphjltEOqWuEyv6VBRFoDHTGJ6DGMwMa+io2qaiMiXYAHKcYE16toM23aNC69tHxb6bx3mwqr4BSixn2pWKJLGfubNmFKcG1/k8VSCRGRifiV6deqVYu9e6u1HWF+rVq1Wrds2TK35KkGEfG2SgCQlJREamqqo2M3btzIhAkTaNOmDZMmTSpQ5HXCqVOnePrpp4tUpZSmZcC7uzNr1ix27dpVMO69ppk6dSrt27d3HFuk2LRpE7NmzQpl8eKlRt4srpQJlMXij4i0Be4D7iD4rilghB9mzJgRdaftL774grlz5xapdy5EHvAUxoz361CTLBan2P4mi6X6UwMTKETk9vj4+OVhzC91AlUazp49y3PPPcfixYs5csRnCVnaloFguzsiQv/+/UlNTY36NQ34/KVKuK55F5iqqu9EMbRKg7M9RYulAhCRZkAKphcsZJfkNddcw7Rp0/jJT34Sakq5cvnll5Odnc3mzZuZOXNmESdwD3UwZr4jReRJ4GFVDapIYbEURwT6m+ap6uflEZvFYrGUFVUdDCyv6DgK4+1LmjdvHrm5vg0yb3ndlClTaN68ueP1Nm3aRGZmZpFrBpfLxdSpU+nePVgnSPmyb98+Fi9eXFJlzSeYPqcXoxhapcMmUJZKh4jEYsw904BLQs27+uqrSUtLw+VyhZoSVXr06MGLL76I2+3m4Ycf5uOPg/bBXoQptbpdRB4B0qPRN2ap+tj+JovFUkP41Y4dO+p16tQpaJNxtPH2Jc2cOZPdu3cXjHsTp0mTJhEfHx96gUJ4d3dycgIFk3v06EFqair9+vWLVOiOOXLkCNnZ2TzxxBOcP38+1LTtQAawIgK99lUem0BZKg1+JrgP4LcdX5jSKNpEE5fLxRtvvMHq1avJzMzkyy+/DDatEUYO/g4RmQcsVNVKcbKwVB5sf5PFYqmBNIyNjb2eSmCq63a7efDBB/n0008LxkSEwYMHk5qaymWXhbSdLMLevXtZsmRJkd2dzp07k5ycXCHXNCdOnCArK6uIv1Qh9gEPAcvsucSHTaAsFY6fCW4mxjw4KK1atWLixIlhKdpUFCIS4CFVeMvfjxaY932XiGRgzXgt2P4mi8VSs/Go8VVYAvXBBx8wc+ZMNm7cGDDucrm47777uOqqqxyvdfDgQbKysnjmmWfIy/OJVbdt25akpCRGjBhBrVq1Iha7E0L5SxXiKDAHcz4JmV3VVCr3Vail2uPxcppLcNl3AJo0acLYsWMrxDCurHg9pIYMGcKyZcv461//ysmTJ4NNbY8x400SkQdqem1xTUVEWmEsCUrT3/QUsEBVd5dDaBaLxRI1VPUmzPdgVNmyZQsLFixgzZo1AeO9evUiLS2NPn36OF4r1O5Os2bNGDNmDKNHj6Zu3boRi90JofylCnEKyAJmqmrQCxaLTaAsFYSI9MV4PVwXak5FGsZFmgYNGjBu3Dj+9Kc/8fTTT7No0SJOnToVbOoPgRdEZAOQVlPVbWoaItIDmED4/U27gceAx21/k8ViqUZcmpub2y0uLi4qpro7duxgzpw5RVTnunbtyoQJE0hISHC8VqjdncaNGzNu3LgKuRns7ePKyMhgz549oaadx4h3/EVVHcvI11RsAmWJKiJyFfAX4A+h5lS0YVx50rBhQ8aNG8fw4cN57LHHimvY7AO87THjnaKq/4lupJbyxvY3WSyWcFFVdu3axQ9+ELLavdqQn58/GCjXBOrrr79m4cKFrFy5kgsXfF+lHTt2JCkpiSFDhhATE+NorVC7OxV5M1hVWbt2LZmZmWzbti3UtDxgJSZx2h214Ko41gfKEhVEpANGVe9OIOi3kdcwLi0tjQ4dOkQvuArEoWRoPvAyxm9hR/Sis5QHfv1Nk4ArwjjU29+UqapBtfItFkv1QkTGAwv9x2rXrs3QoUNJTk6mVatWFRRZ+SMiG+Lj4/s6mFdqH6gxY8bw6quvFvzcpk0bkpOT+cMf/uC4L+nChQu8+OKLzJs3j6+/9tk81q1bl1tvvZWkpKSw5M0jhdvtJiMjg61bt4aaosBLwDRV/SJ6kVUPnKXVFkspEZE2IrIII3/5Z0L8zblcLv71r3+RnZ1dY5InME2ks2fPZu3atcWVCMRgduz+KyLZnj4ZSxVDRFqJyAxgD6bfzWny9C1mt+kHqppgkyeLpUaxpfDAhQsX+Nvf/kbfvn154IEHOHbsWEXEVe6oau9Dhw7FRev1xowZw/r16xk+fLij5ElVefXVV/n5z39OcnJyQfJUq1Ythg0bxvr163nwwQejnjxt2rSJoUOHMmzYsOKSp7VAL1UdapOn0mETKEu5ICJNRSQT+AJTohS0U7JXr178/e9/Z9WqVVx55ZVRjbEyccUVV5CdnU1OTk5xTapeM94vRCRTRBpHL0JLaRGRHiLyDCZxuh/n4hC7gVSgvaqOV9WQhesWi6V64umDvR0o0pNy7tw5srOzufbaa5k3b16ovtqqTEx+fv7AaL1Y3759HYs6uN1uBg4cyJgxY9i5c2fBuPdm8IIFC2jTpk15hRqUzz//nMTERG666SbWrVsXatoG4GeqOkBVN0cxvGqHTaAsEUVELhKRe4GdGJ+jBsHmdenShezsbF599VWuvfbaqMZYmenZsycvv/wyq1at4oc//GGoabGY3+1OEblXRIL+ji0Vh4jEiEiCiKzB9Cv9EefiEJuAPwGXq+osKw5hsdRsVHU50BFzQ+VE4edPnTrFvHnz6N27N1lZWcX5+VQ5VHVwRcfgz6ZNm/jDH/7AsGHD+OijjwrGXS4X//jHP1i1ahVdu3aNakz79u1jypQp3HDDDeTk5BCiNecTYKiq9rXiVJHBJlCWiCAidUTkz8AOjK9R0N2Rdu3aOSlZq/G4XC7++c9/llTS2BTzu/5CRP4sIlYUpoIRkYaefwf/BV7FuThEPrAa6KeqvVT1GSsOYbFYvKjqaVWdhUmkHsCU9gZw/Phx0tPT+elPf8qKFSsCRBGqML/asWNHvYoOYvv27SQmJpKQkMD69b4q6h49evDCCy+watUquncP6cZSLhw9epT09HT69evHihUrQvVRb8fckOtu7VEii02gLGVCDH/AXDBmA0H7c5o1a8a0adNwu92MHDnSsapNTSYmJoaEhATeeecdZs+eTVxcyFLwNpjf/ScicqtH3c0SRWx/k8ViiQaqekxVZ2ASqVnAucJzDhw4wJQpUwoSqWIEiqoCDWNjY6+vqBffu3cvU6ZMoX///uTk5BSMd+7cuaDsvl+/flGN6cSJE6Snp3PNNdeQlZUVSsl3H8ZT8CrPDbn8qAZZA7AXWpZS4zHB3QS8AHQKNueSSy5h2rRpvP/++4wbNy7qpnHVAa8Z7/r165k2bVpxMqhXAE8DWz1JraWc8etv+orw+pu+xJTjXGr7mywWS7io6mFVTcV87z8OFMmSQl38VzVEJOrlKgcPHuS+++7D5XIFJKFe4ac333yThIQERCRqMZ05c4asrCyuvfba4ko1j2LOLZ1V9XFbyVB+2ATKEjYicq2IvAWsAX4cbI7XOHbjxo2MGzeOBg1sm05ZueiiiwJ+p8UY8V2FMeNdJyKuKIZYIwjR3+S0fNLb39TZ099UpJ/BYrFYnKKqe1Q1EfgR8CJGmjoA//Kzd999N+oxlhVVvSlar+Xd3enbty9Lly4t2N3xVtGsW7eOkSNHOpY4jwR5eXmsWLGCvn37kp6eHmDO68cpzI5kR8+55WzUAqyhWB8oi2NE5EpgBg5McJOTk4srObNEgAMHDrBgwYIiBoBBWAtMVtWQeqaWkhGRRsAISu/fNFNVq97Vi8ViqTKISG8gHbgh1ByXy8X06dPp1q1b9AIrIzExMd3i4uI+CfZcpHygBgwYwMaNG/n2W197WePGjbn77ru54447irtpWS7k5+fz2muvkZGRwZ49IYsUzgPLMSa4RZQaLeWH3YGylIiIXCoi2cBHhEieRISEhATefvvtkvp1LBGiVatWzJ49m7feequkUoL+wGYReUFEqr99fYSJYH+TTZ4sFku5oqrvqWp/YADwYbA5brebG2+8kcTERHbt2hXdAEtJfn5+uZfxrVmzpiB5io2NZcKECWzcuJGxY8dGPXlyu90MGDCAxMTEUMnTBeBZ4ApVTbTJU/SxCZQlJCLS3OPl9DnGfyjonrXL5eKNN94gOzubyy67LKoxWqBjx45kZ2c7NePd5jHjjQ810WIQkZ6F+puaODzU9jdZLJYKRVXXquo1mETqoyDPk5OTw3XXXUdiYiJfffVV9IMMg2j1QdWtW5dRo0axYcMGpkyZUlzPcbng9ZcaNmwY27ZtCzZFMaWaP1TVW1V1d1QDtBRgEyhLETxSzP5eTkElRHv27MmLL77IqlWrqlQpQHWla9euZGdn88orr9C7d+9Q0+pikuEdHjPeS6IXYeWnUH/Th9j+JovFUoVR1bWYXuWhQJHtpvz8fHJycnC5XEyZMoXDhw9HPUYnqGrvQ4cORby0xXvtUqtWLYYNG8a6det46KGHaN68eaRfqlg2b97M0KFDGTZsGFu3hqy2Xwv0UtWhqvp5FMOzBMH2QFkKEJG6wG3AQ0DLUPM6d+5McnIygwcPjqoCjSU83G43M2bMCHUXy8tRYA6wSFWrj/timPj1NyUDncM41PY3WSyWKoHfOX4GISxHYmNjue2227jnnnuivvtSEiJyW3x8/NNBxkvdA6WqbN68mRYtWnDppZdGLliHfP7558ybN4/Vq1eHMsAF2ABMVdW3oxeZpSRsAmXBY8B6M8acr0OoeW3atGH8+PGMGDEiqgo0ltLjsAkVYC/wMLCsJsmeikhrzI5cEs5L9AC+wTTuzrclehaLpSohIrHA3ZhS46Cm902aNGHs2LGMGjUq6v0/xfByq1atfl94sCwJVEWxb98+Fi9ezPPPP1+cT9cnwIPWALdyYhOoGoyY7aPfYy6cQ951b9q0KXfddRejR4+2Pk5VlLy8PFatWsWcOXNKKtH4DPgL8JJW4y8HEekJjMfsOjkt0QPT35QNZNsSPYvFUpURkabAFOAe4KJgc1q1asXEiRMZPnw4tWuH81VZLpw6ffp0806dOgWYB1elBOro0aM89thjPPHEE6EMcAF2AzOBJ60BbuXFJlA1FI8JbibQM9Qc71Z+UlISjRo1il5wlnLj9OnTLF++nCVLloTykvDyPqZk4M0ohVbuiEgMMAiz29Q/zMM3YRT1/laTdugsFkv1R0RaYMqXJxCi57ldu3bcc8893HzzzcTEVGj7/K9atWr1L/+BqpBAnThxgqysLJYtW8bZsyEtmvZhWihqVCVIVcWKSNQwROQnIvImxgQ3aPJUp04dRo4cyYYNG5g2bZpNnqoRsbGxjBs3jg0bNjBu3Djq1Qt6rgT4CbBWRNaISK8ohhhxRKSRiIzHiKK8ivPkKR9YDfRV1V6q+ow9qVksluqGqh5W1VSMRcPjQJGasr179zJlyhT69+9PTk5O1GP0IiKDK+zFS8GZM2fIysri2muvJSsrK1TydBRTTtlZVR+355mqgd2BqiGISFdMj9PvgaDKDzExMQwaNIjp06fTrl27qMZnqRi+/vprFi5cWFIdtgIvAdOrkvKPiHQAxmB6nErT3zRPVSu3tq/FYrFEGBG5EiM0EfJ6oWfPnqSlpdG3b99ohgawp1WrVh38ByrjDpS3bH7u3LkcOnQo1LRTQBZGhOhk9KKzRAKbQFVzRKQdMB0YRQgfJxFh8ODB3HvvvfzgB9ZntSbyxRdfMHfu3JKUgPKBl4Epldl7ogz9Tbswd19tf5PFYqnxiEhvIAP4Rag5LpeL6dOnR9XKJCYmpltcXNwn3p8rUwLlULjpPOYm3V+sAW7VxZbwVVNEpJlTE9zXX3+d7OxsmzzVYC6//HKys7NZvXo1/fr1CzXNa8a73WPGG1LqPtr4+Teto/T+TVdY/yaLxWIxqOp7qnoDxoz3w2Bz3G43N954I4mJiezaVcRmqlzIz8+PiqluuLjdbgYMGEBiYmKo5OkC8CzQRVUTbfJUtbEJVDUjiAluUP3RH//4x7zwwgusWrWK7t27RzVGS+XF/+/iRz/6UahpXjPenR4z3gozC/Hrb9qF6W/6qcNDbX+TxWKxOEBV16rqNZhE6qMgz5OtZCx6AAAgAElEQVSTk8PPfvYzkpKS+Oqr8q18FpFKlUC53W4GDhzIsGHDQvkuKvAi8ENVvVVVv4xuhJbywJbwVRNEpD5wFzAVCGmh3blzZ+69915uvPFGa4JrKRbvSXH27Nkl3Vk8j1ENuitKodn+JovFYqkAPGqmQzAqvkHLVurUqcOwYcNISUmhRYsW5RFGfq1atVq3bNky1xNThZTwbd68mczMTNatW1fctLXAvaq6udwDskQVuwNVxRGRWiJyO7AdmE+I5KlNmzYsWLCAN998k4EDB9rkyVIiIsJNN93E22+/zezZs4mPjw81tS4wRkQmRiGmniLyDPAFZofVafK0C6NydKmqjrfJk8VisYSPquZ7jF27AonAwcJz8vLyWLFiBX379iU9Pb0ky4zSEJOfn39jpBd1yueff05iYiIJCQnFJU8bgJ+r6gCbPFVPbAJVRRHD74CPgWXApcHmNWvWjAceeID169czbNgwatUK2gplsYSkdu3ajBw5kuzsbC6+uNhqvV+Wx+tHqL+ps6e/ySodWSwWSxlR1fOq+jjQCXNzqkjv6OnTp8nKyqJPnz5kZWXx3XffRfL1o17Gt2/fPqZMmcINN9xATk5OKMGlT4ChqtpXVd+OboSWaGITqCqIiPwC2IhRROsabE7Dhg1JTk5mw4YNjB49mrp160Y1Rkv14csvv2TMmDH85je/KbiTePnllwebGlGJ8zL0N32P6W/q49ffFFKj3WKxWCylQ1VPq+osoCMwCyhidHT8+HHS09P56U9/yooVK7hwISLtpr/asWNHSCPDSHL06FHS09Pp168fK1asCGX5sRuzI9fds0NnqeaEI/FrqWA8hqYZmEbOoNStW5c//elPJCUl0axZs+gFZ6l25ObmMn/+fFauXEleXh4AV1xxBZMmTaJhw4bccssthQ85GonXFZHLMCeiRKBxGIfa/iaLxWKpAFT1GJAqIvOAZGACEJDgHDhwgClTppCdnU1SUhJDhgwhJqbU9/EbxsbGXg/8q0yBF8OJEyfIyspi2bJloQxwAfYBD2H6gK0QUQ3C7kBVAUTkChF5AXifEMlTTEwMCQkJvPPOOzzwwAM2ebKUmpMnT5Kenk7fvn159tlnycvLo23btsyePZu1a9eSkFA+lRN+/U2fY/qbnCZPuzAn69a2v8lisVgqDlU9rKqpwBUYX70i2zU7d+5k/Pjx9O/fn5ycnFK/logMLn2koTlz5gxZWVlce+21ZGVlhUqejmJKFzur6uM2eap52B2oSoyItAXuA+6gmM/K5XJx//33c+WVV0YtNkv14+zZsyxbtoy//vWvnDxpWoWaNWvGmDFjyq0M1KPoNAhzIgrX0n49sAj4uy3Rs1gslsqDqu4BEkVkETAD+D0QoF712WefkZiYyOOPP87UqVPp06dPuK9xE5AUoZDJy8tj1apVzJs3j9zckBZNp4AsYKbtqa3Z2ASqEiIiTYEpmC+GBqHmXXPNNUydOpXevXtHLTZL9SPYSeOSSy7hzjvvJDExkYYNG0b8NUWkEebGwESgfTjhAv8LzFfVjREPzGKxWCwRQ1X/CwwVkWuBdOAXheds2rSJIUOG4HK5mD59Ot26dXO6fPvc3Nyryhpjfn4+r732GjNnzmT37t2hpp3HlIj/xRrgWsAmUJUKEYkF7sbcjQ9ZvtSlSxcmTpxYbqVUlpqBqrJ69WoyMzP58kvj69egQQPuuOMO7r77bi655JJyeV0RGQfMBBqFcdhxIBv4q6ruL5fALBaLxVIueG543SAi/THf/70Kz3G73dx4440MHjyY1NRULrvsshLXzc/PL9OFkNvtZsaMGaEMcMGYrr+M8XKyBriWAmwCVQkQkTrA7Zht7lah5rVr14577rmHm2++uSyNlxYLbrebhx9+mI8//hjwGR8mJycTFxdX3i9/AOfJ005gCfCkqp4uv5AsFovFUt6o6loReRMYDDwM/KjQ8+Tk5PDGG2/wP//zP6SkpNCuXbvilixVH5Tb7SYjI4OtW7eGDBV4CZiuqhFVmLVUD2wCVYH4OXrPxEiABiU+Pp5JkyYxfPhwate2H5ml9GzatInMzEzWr18PGLPccO72RYj/xSRGIf/msf1NFovFUi1RY6CUIyKvYa6BMoEf+M/Jy8vjpZde4pVXXmHYsGGkpKTQokWLYMtdGxcXd6SYnqUANm/eTGZmZnEGuABrMTtO1gDXEhK7jVFBeLaxNwEvEOJCsnHjxkybNo13332XkSNH2uTJUmq8zuk33XRTQfLkcrl44403yM7OjmbyhKrmA4uDPJUHvIjxb+qnqi/a5MlisViqJ6qa7/FM6oqxrThYeE5eXh4rVqygb9++pKenF3gR+hHTv3//Ev2gvOfAhISE4pKnDcAvVHWATZ4sJWETqCgjIn1E5G1gDXB1sDkNGjRg3LhxbNy4kXHjxlG/fv2oxmipPuzfv7+Ic3rPnj158cUXWbVqVTjNupHmKXzO9d9gEqqOqjrUikNYLBZLzUFVz6vq40AnTA/4icJzTp8+TVZWFn369CErK4tz584VPDdgwICQCdS+ffuKnAOD8CkwVFX7qupbZX5DlhqB3dKIEiLyQ+B+4A+h5kS5D8VSjTl27BiPPvooTzzxBOfPnwegc+fOJCcnM3jwYESkhBXKF1X9VkQeBM4BT9v+JovFYqnZeM4Ds0TkCUIoER8/fpz09HSWLVvGxIkTGT58OP369atXt27dgnMdwNGjR3nssccCzoFB2I1poVhqqx0s4SIhsnFLhBCRizClel1CzYmJieG3v/0tkydPpn37cBSdLZZAvvnmm4LE6cyZMwC0adOG8ePHM2LECGrVqhWR13nrrbe45ZZbCg/fr6oPRuQFLBaLxVKjEZE2mEQqEQi6y9SxY0eSkpJ4+eWX+fe//w1Ap06d2L9/fygDXIB9wIPAU9YA11Ja7A5U+bOMYpKnAQMGkJqaSteuXaMYkqW68d1337Fs2TKysrI4fvw4AE2bNuWuu+7izjvvpF69EkvELRaLxWKpNHgsK8aLyHxgKjAKCLgLuHPnTsaPHx9QtbNjx45QSx4F5gCLVTVkdmWxOMEmUOVPSKWxFi1aMHToULp0CZlfWSzFcuHCBVatWsX8+fM5cOAAALGxsdx2220kJSXRqFE4VksWi8VisVQuVHUPkCgij2Ckz4tIl5egwvctMB9jwF5EhcJiKQ1WRKL8+W+oJw4fPszo0aMZNGgQbrc7mjFZqjiqyquvvsrPfvYzUlJSOHDgAHXq1GHkyJFs2LCBadOm2eTJYrFYLNUGVd2qqglAP+DfDg75DpM4/UBVZ9jkyRJJbAJV/pT4D3bLli0MGzaMYcOGsWXLlmjEZKnCvPPOOwwcOJAxY8awa9cuYmJiSEhIwO12M3v2bJo3b17RIVosFovFUi6o6npVvR4YCASTG88HngQ6q2qyqh6JaoCWGoFNoCqGoGovbrebX//61wwbNoxt27ZFOyZLJec///kPQ4cOZcSIEXz00UeICAMGDGDNmjVkZ2dz6aWXVnSIFovFYrFEBVV9A+gFpABnMInTTuBHqjpaVfdWZHyW6o1NoCqGoRjD0KASiG63mwEDBpCYmMhXX30V3cgslY4dO3aQmJjI4MGDCwwAXS4Xr7/+Ok8//bQVIPn/7N15fFTl2f/xz52wLwKyb24FFVdQcEHiY61aldDa+rOotQ8u2KhUEIHIUpVaEzCyCEo1KriUqqj1aQVcqlVrVBRFrRsIoiBL2EVEtkCu3x9nJplJJslMMpMzk3zfrxcvJufc555rWJK55r7PdYmISL1knilm1tzM0s2sh5l97ndcUvcpgfLHKjP7DXAq8O9IA4qLi5k/fz4ZGRlkZ2ezefPm2o1QfLd+/Xqys7M5++yzSxoA9unTh6effpp58+Zx4okn+h2iiIiISL2jBMpHZva+mZ0DnAt8EGlMUVERc+fOpX///uTk5PDDDz/UbpBS64KNAs844wzmzp3L/v376dGjB/n5+SxYsIABAwb4HaKIiIhIvaUEygddu3ZtFPq1mb1qZv3wEqlPI13z448/MmvWLE4//XRmzZrF3r17ayNUqUW7du0q93fcpUsX8vLyeO211xg0aBDOOb/DFBEREanXlED54Morr+wb6biZvQr0xrtH6ptIY7Zt2xa2OnHgQMR6FJJCyq4y7tixgzZt2jBhwgTefvttrrjiCho0UMs2ERERkWSgBMoHRx55ZEZF58ys2MyeAY4GsoCI3eEi3R8jqSV4n9uZZ55JdnY2mzZtolmzZgwbNoxFixYxbNgwGjdu7HeYIiIiIhJCCZQP2rZte2ZVY8xsn5k9CPQAxlJBP6kVK1aQlZXFoEGDSiq0SfIrKCjgvPPOIysri9WrV5c0wX3nnXeYMGECBx10kN8hioiIiEgESqB80LBhw04bN248PpqxZrbTzO4CfgLchddZu5wPP/yQ3/zmNwwePJhPPvkkjtFKPL3//vv86le/YvDgwXzxxRclTXDffPNN8vLy6NChg98hikgd45yb55x7OvCrpd/xiIikOiVQPikuLs6MZbyZbTGzscBRwINU0oz3ggsuICsri2++iXgblfhg2bJlZGVl8ctf/pL33nsP8Ho5/etf/yI/P59DDz3U5whFpA67JOSX9gWLiNSQEij/xJRABZnZt2aWBRxPBc14zYz58+dz1llnkZ2dzcaNEW+jklqwcuVKhg8fzjnnnMP8+fMB6Nu3L//3f//HvHnzOOaYY3yOUERERERioQTKP6dt3Lix2vu1zGxpoBnv6cDrkcaEVne79dZb2bp1a3WfTmK0YcMGsrOz+elPf8qzzz5LcXExRx99NPn5+Tz//POceuqpfocoIiIiItWgBMo/aWZ2fk0nMbP3zOxsvB5SH0Yas3v3bmbPns3pp59OTk4OO3furOnTSgW2b99OTk4O/fv3L2mC2717d/Ly8nj11VcZNGiQ3yGKiIiISA0ogfJRcXHxwHjNFegh1Revh9SKSGN27twZ1qh137598Xr6ei/YBPe0005j1qxZ7Nmzh06dOpGXl1fSyyktTf/dRERERFKdunP6yDl3/hdffNHomGOOiUsmY14zqGecc/8ArgJuB7qUHbd161ZycnJ47LHHGD58OJdddhnp6enxCKHeKSoqYt68eUydOrXkXrPWrVszbNgwrrnmGpo0aeJzhCIC4JxrCgT/Q+4xs92B40fhbYVuBPzbzFZGuDYd6IfXVqIVXluJVcAiM9tfwfO1Cflyl5ntrWBcM0oLO/xQyXwtgIaBL4vMLK5bCZxzDYEWIYf2mtmueD6HiEhdoY/E/XVQ27ZtB8R7UjMrCvSQ6onXQ+q7SOPWrl1LdnZ2WIEDiU6wCe7//M//lBTqaNq0KcOGDePdd99l2LBhSp5EkksOsC3wa4Jzrrlz7nFgKfAIkA+cF3qBc66pc24sUAgsAv4K3Ac8DrwJbHbO/bmC0uDvhjzfHyuJ6+8h44ZWMu7NkHG3Vf5SYxNI4l4Nmf9ToFs8n0NEpC5RAuWzWMuZx8LMdgV6SB2Kl0j9EGncl19+WdKMd9GiRYkKp84oKCjg/PPPJysri1WrVqkJrkjqaQS8APwOcJEGOOc64BXomQS0DzkVumOgNV5ytMg5d0iZKRaEPM6o4DmaA2eFHIq4rds51wo4IeRQ3D7xcs41Bv4BBBu8rwHOMrPl8XoOEZG6RgmU/36R6Ccwsx/KNOONuJVkyZIlXHzxxQwePJjPPvss0WGlnLJ/PsEmuP/5z3/Iy8ujY8eOfocoItG5Di9h2A+8CMwCngDWAjjnGgDPAcFymd8BfwDamVljvMTpGiDYI+JYYGFgm2BQaJJzaiBRKescSrcVAvyszBxBZwDBfdZbgXeieI1VCmzbewavCBHAarzk6at4zC8iUlcpgfLfT9avX39UbTyRmW2Othlv6ApLfRdphS4jI4OXXnqJ/Px8DjvsMH8DFJFYtQQ+BnqZ2YVm9gcz+62ZBZOeP+AlLeDd73SWmc0ys60AZva9mc0JjAkmUccB40Oe4y1Kt083wbuHqqyyK05NgZ9FGHdmyOMXzSzi9+5YBO7rmgsES4N+g/c6v67p3CIidZ0SqCSQlpaWsG18kZjZ6kAz3hPxPn0sJ9I9PvVNpHvETj75ZJ599lnmzZvHcccd53OEIlJNK4GfRVppcc6lASNCDt1mZp9EmiRQcGJMyKEbgitIgWIQL4acC02CcM454MLAl6H3qUbaxhe6BbDG2/cCr3E2XtVW8P48zjKzVTWdW0SkPlAClQTMrFYTqJDn/TzQjLc/8J9IY4LNeM844wxycnLYsWNH7Qbpg2CVwgEDBjB37lwOHDjAUUcdRX5+PvPnz6d///5+hygiNfOUmW2r4NyxwGGBx3uBR6uYax6lCdDBeBX9gkKTnbL3QfUBugYePwYEV34GBpIroKTAQ9/Al0XAy1XEUxWHt2VxSODr5XjJ07c1nFdEpN5QApUcBnz77bdtqh6WGGa2yMzOwtsH/3GkMZH6HNU1kfpkdevWTU1wReqXU0Ief2pm31c22Mz2AYtDDp0a8vglvKQHoH9g21xQ6ErTwsAvgO6EF4w4Fa/oBcCbVcUThbvx7gELGmZma2s4p4hIvaIEKjk0aNCgwc/9DiLQjPdkvG0d5XqhAGzfvp2cnBz69+/P3Llz2b8/YsuSlLJ7924efvhh+vfvT05ODjt37qRt27ZMmDCBt956iyuuuEJ9skTqj9BqMN9EeU3ofUOdgg/MbDvevVAABwG9Q8YFE6gdeCXKF4acC92VELr1L7SyX3UNKfP1pEDRDBERiZISqCThnItYvra2mVmxmT0D9AKy8PqflLNhwways7P56U9/yjPPPENxcXGtxhkPwe2J/fv357bbbmPLli00b96cYcOGsWjRIoYNG0ajRo2qnkhE6pLQPgQ/RnlNaFPbVmXOldvG55zrSGlRiVcCq1hvhDzfwLLXRJirJpZR+r29L5Adp3lFROoFJVDJ40IgaT4FjNCMd3ukcStXrmTEiBEp1YzXzJg/fz5nnXVWSYGMYC+nRYsWMWHCBFq0aOF3mCLij9CkKdpu2M1DHpftt/d8yONgMnQhpT9/FwKY2V68ZrbglT3vGCgzflrg2BeBohU19SVepb/hIcduc86pKo6ISJSUQCWPgwsLC0+reljtMrMfy/SQ2h1p3LJly8jKyuKXv/wl7733Xq3GGIuCggIuuOACsrKy+Oabb2jQoAFXXHEF7733Hnl5ebRr187vEEXEX1tDHneL8pquIY9Drw9W6lsa+DKjTPU9I7xSX3AbXxpwPt6W6mByFo/tewCZZrbezJ7Fa6AL0BiYo618IiLRUQKVRJxzvlTji4aZbQv0kDoSr4dUxJuf3n//fX71q18xePBgli5dGmmILz788EN+85vfMHjwYD755BOccwwaNIg33niDvLw8OnXqVPUkIlIfLAl5fGIFDXBLBEqCh/Z4+iDCsODyfHu89hHnBZ/LzDaEjHsBL6kCbxtf6P1P8VriD91N8AcgWJSiHzA6Ts8hIlKnKYFKIn6VM4+Fma0N9JA6Dq+HlEUaV1BQwLnnnktWVharV6+u1RhDrVixoqQJ7ltvefdyZ2Rk8OKLL5Kfn88RRxzhW2wikpQ+pHQVqSXw6yrGnwt0CTzeTWnRiFChyc94Su+zCi0cgZmto7QS6s+BswOPtwCLqgo8VoHnGxtyaKJz7ph4P4+ISF2jBCq5HLtp06af+B1ENMzsy0APqSqb8Z555plkZ2ezadOmWotv/fr1ZGdnc/bZZzN//nzMjD59+vD0008zb948TjjhhKonEZF6x8yKgPyQQ3c55zpEGuucawVMCzn010DlvbIW4SVBAP8v5PgLEcYGt+odROlK1YtmdqCq2KvpQaAg8Lgx8EiZcusiIlKGEqgks3///gurHpU8zOzTQCI1gNIfwmFCq90luhnvtm3byMnJ4YwzzihpgtuzZ0/y8/NZsGABAwYMSNhzi0idcRelrRy6A286535apsHtaXgNyIMrNhuA2yJNFkh+gvc6BefYSOTtfqFJVXBswir0mFkx8Hu8psHg9cHSVj4RkUoogUoyyXwfVGXM7G0zOxNvO8snkcYEm/EGG9Xu3bs30rBq+fHHH8vN3aVLF/Ly8njttdcYNGgQIe99REQqZGY7gIuAdYFDRwGvAYXOuQ+cc2vxVpVODJzfCvzKzDZWMm3ZJOjFQPJS1mIgdLl+H/ByjC8hJma2DMgJOTTROdcrkc8pIpLKlEAln7O2bNnS0u8gqivQjLcPXjPeryON+e6778JWiWrSjLfs6tYPP/xAmzZtmDBhAm+//baa4IpItZjZZ8CpwJNAMNHpiFcZL7Tq3j+BU83s3SqmfBkvGQqKtH0vuCIUWpnvzUBCl2h3AZ8FHjfBq8qnb54iIhGoZGnyaVRUVHQu8JzfgVRX4A3AM865fwJXAnfgvfEIE7xP6cEHH2TMmDFkZmZGvUpUXFzMwoULycnJ4dtvvwWgefPmXHnlldx4440cdNBBVcwgIvXMNOBvgccRG4SXFSiycLlzbize6novvMISO4EVeE1wo+rNZGY7nHMnUdpb6vNKht8C3Bt4XNmqVrRCqwRG7OlnZvucc+cSnhw2BnbF4flFROoUJVBJyDk3kBROoILMbB/woHPuCWAYMA5oVXbcV199RVZWFn369GHcuHFV3qdUUFDAxIkTS8qkN2zYkMGDBzNmzBjat28f/xciIinPzNYCa6t57bfA7DjEUFnSFDpuI/FJnILzLal6FARKqm+ocqCISD2nLXxJKFDOvM783ZjZzjLNePdEGvfRRx+F9Woqa/HixVx00UUlPabS0tIYNGgQBQUF5OXlKXkSERERkYSrM2/S65gOGzZs6Ot3EPFmZlvLNOONWJa3oKCACy64gKysLL7++ms+/vhjhgwZwkUXXcTixYsBr5fTK6+8Qn5+PoccckjtvQgRERERqde0hS9JBVahFvsdRyKY2Rogyzk3E7gTr9pV2THMnz+fhQsXYmaYef16+/Xrx4QJEzjllFNqN2gREREREbQClcxSspx5LMzsczP7FV6lq9cijSkuLsbMaNSoEfn5+fzzn/9M2eQpWBXwt7/9LWvWrPE7HBERERGpBiVQyav3unXruvkdRG0ws8Vm9jPgfODDSGP27dtHs2bNajewOPn000+5/PLLueSSS3jttdd4/fXXefDBB/0OS0RERESqQQlU8nJpaWkD/Q6iNpnZy0BfvB5Sm8uej2fj3drw9ddfc91113H++efzxhtvhJ3bvXu3P0GJiIiISI3oHqgkFrgPKt/vOGqTeTc7PeOcOxyvYl/K2bBhA9OmTeOpp56qUZNgEREREUk+SqCSmHPuZ4WFhc06d+5cHxsZFvsdQKy2b9/Offfdx5w5c9izp7RSe7Dc+p49e3j55Zd9jFBEREREakpb+JJb07S0tLP9DkIqt3v3bmbNmsVpp53GX/7yl7DkKSMjgxdffJH777+fbt3qxS1tIiIiInWaVqCSXHFx8UBggd9xSHlFRUXMmzePqVOnsnHjxrBzJ510EuPGjeOMM87wKToRERERSQQlUEnOOfcL4AbA/I5FPMXFxSxcuJBJkyaxatWqsHM9e/Zk9OjRZGZm4pzzJ0CRGDlHQ6BT4EsjvMl12cdWwbjiwLE9QONK5ig2S70tuiIiIkFKoJKcmXVZt27diV27dv3Y71gECgoK+POf/8xnn30Wdrxr166MGDGCyy67jPT0dJ+iE6m2hkDnOM21FOhV2YAyny2EVloJJmGh5zYArYFGVJy8HShzXWVJ327gR+DgCM9dXOa6aM4dMNMHXCIi9YkSqBSQnp4+CFAC5aMlS5YwadIk3nnnnbDjBx98MNdffz1Dhw6lcePGPkUnUmPxXC6Nda7Kfg41xkvumgLxagT3HbAOOCxO8x0AljjHSUA6lay8EX2Ctg3vz6UZ4UllRat+kc6FJo4HgH14SShUnLSaWdgcIiISgRKoFGBmA4E/+x1HffTll18ybdo05s+fH3a8efPmXHnllQwfPpyWLVv6FJ1IUor3akwi5otnwhiMzwV+hf5cre7P2H14yWObGsQVahewBTikqoFlVgcrW9n7itIk1AhPAKuzsvcd0ILS4laVbRetKjFVIigiCaUEKjX027x5c6f27dtv8DuQ+mLt2rXMnDmTJ598kgMHSn8ON2zYkMGDBzNmzBjat2/vY4Qi9Up9vKEwEUlerMruRw59z5AGNK/mvJHsAQ6N8JzVsQv4rMpRIiLVpAQqNaQVFRVdADzidyB13datW3nggQd46KGH2LdvX8nxtLQ0Bg4cyIQJEzjkkCo/xBVJNcmcoCTi/qJErUDFe854ivffcbzni+dr1j1pIpJQSqBShHMuEyVQCbNz504ee+wxZsyYwc6dO8POZWRkMHHiRHr1qvS+eBHxJCIZS/bkJBGS/TWnQpInIpIQSqBSx3lfffVV4x49euz1O5C6ZsmSJfzv//4v3333XdjxM888k3HjxnHiiSf6FJlIrUnmN+vJnvCkygpUvGkFSkTqLSVQqaNF8+bN/wf4l9+B1DVPP/10WPLUp08fxo0bx4ABA3yMSkRCxDs5SYWVjvq05S4oFf5eRESUQKWYgSiBirv9+0sLRl188cXMnDlTTXClvvGzjHlVUmU1IZm/aaRCspMqf88iIiXlQiU1DPI7gLquTZs2Sp5EaibZ36wnqox5PCX7nyEkd4xKxkQkoZRApZbDN2zYcIzfQYhInaMVqBpwrl4WzkjmT5qS/t+MiKQ2JVAppri4WKtQIpLMkv3Nq1agklOy/7sRESmhBCrFOOcG+h2DiEgtSpWiD/GWzEmekh0RqdeUQKWe/uvWrWvrdxAiUqcke4KSzBXpEpHgpcIKVDL/m1GCJyIJpQQq9aSnpaWd73cQIlKnJPOb4XhLlTfX9WZvc2QAACAASURBVG0Fqj79GxSRFKcEKgU55zL9jkFEpJYke8KTKitQ8ZbMrzkV/vxEJIUpgUpBZnYB0NDvOEREakmyb7lLhGR+zVqBEpF6TQlUamq1YcOGM/wOQkTqDJUxr75UScjiLZn/npP934yIpDglUCmquLhY1fhEJBkl++pEKiQ8ibhnSStQIiJxogQqRek+KBGJo2R+85oKqwnJ3kg3EbQCJSL1lhKo1HX02rVre/odhIhILUjmFahENdJN5rLjWoESkXpNCVQKS09P1yqUiMSD7oGqmWR/858KCU8q/D2LiABKoFKac073QYlIskmFN+vJvhqT7H+G9TE+EZESSqBSmJmduWrVqtZ+xyEiKS+ZV6DiLVXeXCuhEBFJUkqgUlvDJk2anOt3ECIiAfV1NaY+bmdL5kQ5Ff78RCSFKYFKcWam+6BEpKaS+c1wvKXKm+tkTvJS5c9QRCQhlEClvoFAut9BiIgEpEIylszJSXDOZJfMrzkV/vxEJIU18DsAqbG269evP7VLly7v+B2IiKSs3cCmwON0St8cO8I/oAl9nEb4h3DpeG9cg7/i9QY7md+oJ1K8k7x4fmCa7NsqRUQSSglUHRCoxqcESkSqxYwfgB/iOOX7wQfOxZyElT23G/iK8J9XaVSc5FV2Lh3YCxTjvd6yzx16Xei5qn5W1sc3/8mc2KZKkiwiKUoJVB3gnMsEJvgdh4hIWWYYsD/k0P6KxlZiW5zCCbW9Ohc5Vy7pc3iv6b9UnoTFsrK3G9gYOF52XGjiEm1SeSAkzrLxJ4v6mISKSIpSAlUHmNkJGzZsOKxTp06r/I5FRKQuM6MYbwWrrL1xfqpdcZ4P4JuyB5yr1speMVCEtzIIsSWOFa3s7Qd2lLkumjnKJpUiIgmnBKruGAjM8jsIERFJHWbVWhEMinfSuKwmF4dsF42U4IqIxE0yLuNLNZjZQL9jEBER8YsZZsb+wCqhiEjCKIGqO87evHlzC7+DEBERERGpy5RA1R2Ni4qKfuZ3ECIiIiIidZkSqDokUI1PRERE4sA518U5187vOEQkuSiBqlsGompEIiIiNeacawMsBwqdcy84537nnGvpd1wi4j8lUHVL58LCwpP9DkJERKQO+BHYjFex+ALgcWCjc26ec+6XzrnGvkYnIr5RAlXHmJm28YmIiNSQme0DhpU53BT4DfAPvJWph51zZzvn9H5KpB7Rf/g6xjmncuYiIiJxYGYvAM9UcLoNcA3wb2CNc266c65frQUnIr5RAlX3nLx27dqufgchIiJSR9wE7KliTJfAuMXOueXOuT85545OfGgi4gclUHWPS09Pv9DvIEREROoCM1sPPBXDJT2B24ClzrnPnXMTnXNHJCY6EfGDEqi6Sdv4RERE4mdmNa87BrgdWOGce8s5N8I51yGOcYmID5RA1U3nrl27tqnfQYiIiNQFZvYR8F4NpkgDzgDuwbtfar5z7jLnXPO4BCgitUoJVN3UrEGDBmf5HYSIiEgd8lKc5mkEZAJPAJsDydQlzrlGcZpfRBJMCVQdVVxcrHLmIiIi8fN6AuZsipdMPQ1scM497pwb5JxLT8BziUicKIGqo5xzgwDndxwiIiJ1xLvA7gTO3wb4HfA88I1z7m7nXJ8EPp+IVFMDvwOQhOm+du3a47t16/aJ34GIiIgkinOuTZlDzfG2yQU1BFqUGdOK8A+RmwJNQr5OBw4qc81BwI7A2ETrDowGRjvnluKtUD1hZstr4blFpApKoOqw9PT0TEAJlIhIHeacK/vmH8onBFV9nahrEjVvM6Ax9UMvvEp+tzvnFgNPAo+b2TZ/wxKpv5RA1W0DgVy/gxARSZQIyUMyJxPxSkBaop/f9dUpgV8XAxk+xyJSb+kbcN122qZNmzp26NBho9+BiEh8VXPVIZoxyXwNePeJiNRne4AX/A5CpD5TAlW3pRUXF58PPOZ3ICKJ4pxrABwScqi69zaEVr1qQvh9Dg5oXeaaFnj3VgQ1wrv3IlR17s1oTXgBmPq0VUlEKvYF8Dgw28y2+B2MSH2mBKqOM7OBKIGSuq0TsNLvIEREEmA7XgGJfDP70O9gRMSjBKru+/kXX3zR6JhjjtnndyAiCXLA7wBEpFJ7CC//XdXX8RqTiGseBE4isYqBfwNzgH+Y2Z4EP5+IxEgJVN13UKtWrTLwvhmL1EX7/Q5ApALJ8qa/NufdZWZ7qYOccw44LIFPsQ6YCzxoZl8n8HlEpIaUQNUDaWlpmSiBkrpLCVRyStYVhETO+4OZ6d9j3XUUcHCc59yL1zj3r8ALZqYVdZEUoASqfvgFMNLvIEQSJBnfsCZLYlBrCYiZfYdI3XZ6HOcKFoSYY2ab4ziviNQCJVD1wxGFhYVHd+7ceZnfgYgkwB5gbMjXO4GikK/3AT+Wuabsm/1deJ8EB+0Hfigz5nu8exOCduveBJF6ZWANr98OPIGXNC2JQzwi4hMlUPWEcy4TUAIldY6ZFQF3+R2HiNRdzrmOeLs5YmXAO3irTX8zs7If5ohICkqreojUBWaW6XcMIiIiKWoI4X3fqrIe74OdnmY2wMweVPIkUncogao/Bqxbt66t30GIiIikEudcU+CGKIbuA54BLgC6m9lYM1OPugDnXJ5z7vsyv7ZGee3hEa793jk3NMrrn45wrbZRSrVpC1/9ke6cOw940u9AREREUsgtwKGVnP8Ur2fTXDPbUjshpaSmwEFljkVbdTA9wrUAjaO8vnmE61tGea1IOUqg6hHn3ECUQImIiETFOXc4kB3h1PfAU3gFIRbXblQi4jclUPXLBXh/58lY9llERCTZ3Ia3cgJeQYg3gdnA381sl29RiYivdA9U/XJwYWFhPPtYiIiI1GXvA0uBXOBIMzvLzP6q5EmkftMKVD0TKGde4HccIiIiyc7M/gL8xe846oh3gRZljkV7D9QO4NEIx5dGef0rwKYyxzZEea1IOUqg6plAOfNb/I5DRERE6g8z+xvwt2peuwm4qgbPfU91rxWJRFv46p9j1q5d28PvIEREREREUpESqHooPT39Qr9jEBERERFJRUqg6qdMvwMQEREREUlFSqDqp//ZsmWLGsiJiIiIiMRICVT91KioqOg8v4MQEREREUk1SqDqKefcQL9jEBERERFJNUqg6ikzG4j+/kVEREREYqI30PVXh40bN/bzOwgRERERkVSiBKoeKy4uVjW+WnLgwAE2bSrbBF1EREREUo0SqPpNCVQtePnllznnnHOYP39+ybGGDRv6GJGIiIiIVFcDvwMQX/UuLCw8tHPnzqv9DqQuWrRoEbm5uSxZsiTseMeOHfntb3/rU1QiIiIiUhNKoOQC4AG/g6hLli1bxvTp08NWnABatGjBkCFDGDFiBC1atPApOhERERGpCSVQkokSqLhYs2YN9957L0888QTFxcUlxxs2bMjgwYPJzs6mXbt2PkYoIiIiIjWlBErOLiwsbNa5c+ddfgeSqrZu3coDDzzAQw89xL59+0qON2jQgEsvvZSbb76ZTp06+RihiIiIiMSLEihpamY/A+ZXOVLCfP/999x3333Mnj2bPXv2lBx3zpGZmcktt9zCEUcc4WOEIiIiIhJvSqAE59xAlEBFbffu3cyZM4f77ruP77//PuxcRkYGEyZM4IQTTvApOhERERFJJCVQgnNuEHA9YH7HksyKioqYN28eU6dOZePGjWHnTjrpJMaOHcuAAQN8ik5EREREaoMSKMHMuqxfv753ly5dPvI7lmRkZixYsIBJkyaxatWqsHM9e/Zk9OjRZGZm4pzzJ0ARERERqTVKoASAtLS0QYASqDIKCgr485//zGeffRZ2vEuXLtx0001cdtllpKen+xSdiIiIiNQ2JVACgJkNBO7wO45ksWTJEiZNmsQ777wTdvzggw/m+uuvZ+jQoTRu3Nin6BJn586d5Ofn889//pMTTzyR6dOn06CBvk2IiIiIBOmdkQT13bx5c6f27dtv8DsQP61atYohQ4bwyiuvhB1v2bIlWVlZZGVl0bx5c5+iS5x9+/bx+OOPM2PGDLZu3QrAV199xeWXX87pp5/uc3QiIiIiyUMJlASlFRUVXQjM8TsQP7366qthXweb4I4ZM4b27dv7FFXiHDhwgL///e9MmTKFtWvXlju/d+9eH6ISERERSV5KoKSEcy6Tep5ABTVo0IBLLrmEUaNG0aVLF7/DSYiCggL+9Kc/8cUXX/gdioiIiEjKSPM7AEkq561ataqJ30HUttAtec45Bg4cyGuvvcbUqVPrZPL0zjvvMGjQIAYPHhyWPHXs2JFJkybRrl07H6MTERERSW5agZJQzRs3bvw/wMt+B1Kbrr/+ejZu3EhaWhpZWVn07t3b75ASYtmyZUyfPp3588N7Jrdo0YIhQ4YwYsQIWrRowT333ONThCIiIiLJTwmUhHHODaSeJVCdO3cmPz/f7zASZs2aNdx777088cQTFBcXlxxv2rQpl19+OTfddBNt27b1MUIRERGR1KEESsKY2S+A4X7HITW3YcMGZs2axeOPP05RUVHJ8WBhjFGjRtGxY0cfIxQRERFJPUqgpKxDN2zYcGynTp0+9zsQqZ7t27cza9YsZs+ezZ49e0qOO+fIzMxk7NixHH744T5GKCIiIpK6lEBJOWY2CFAClWJ2797NnDlzuPfee9mxY0fYuYyMDP74xz9y/PHH+xSdiIiISN2gBEoiGQhM9jsIiU5RURHz5s1j6tSpbNy4MezcSSedxLhx4zjjjDN8ik5ERESkblECJZGcXlhY2K5z585b/A5EKlZcXMw//vEP7r77blavXh127uijj2bs2LGcd955Mc25d+/esPulRERERCScEiiJJB04H5jrdyAS2SuvvMLkyZNZunRp2PHu3bszevRoLr74YtLSom/zduDAAZ555hmmTJnCtm3bSo43aKBvESIiIiKh9O5IInLOZaIEKuksXryY3NxcFi9eHHa8Xbt23HTTTfzud7+jYcOGUc9nZrz44ovcddddrFixIuxcr1696NOnT1ziFhEREakrlEBJRGZ2PtAQ0H6uJLB8+XKmTp1arglu8+bNufLKKxk+fDgtW7aMac7333+fnJyccslYp06duOGGGxgyZEhMyZiIiIhIfaAESirSasOGDQM6der0ut+B1Gfr1q1jxowZPPnkkxw4cKDkeLCX05gxY2jfvn1Mc3788cdMnz6dV155Jex469atGTZsGNdccw1NmjSJS/wiIiIidY0SKKmQmQ0ElED5YNu2bdx///089NBD7Nu3r+R4WloaAwcOZMKECRxyyCExzbly5Ury8vJYsGABZlZyvGnTplx99dXceOONHHTQQXF7DSIiIiJ1kRIoqUwmMNrvIOqTH3/8kUcffZSZM2fyww8/hJ3LyMhg4sSJ9OrVK6Y5CwsLmT59Ok899RT79+8vOR5cxRo1ahQdO3aMS/wiIiIidZ0SKKnMUevWrTuya9euy/0OpK4L9nLKy8tjy5bw6vH9+vVjwoQJnHLKKTHNuX37dmbNmsXs2bPZs2dPyXHnHJmZmYwbN47DDjssHuGLiIiI1BtKoKRSaWlpmcA0v+Ooq/bv38///d//MWXKFNasWRN2rnfv3owfP54BAwbENOeuXbt45JFHuPfee9mxY0fYuYyMDG699VaOO+64GscuIiIiUh8pgZJKBe6DUgIVZ2bGggULuOuuu/j666/DzvXo0YMxY8aQmZmJcy7qOYOrWFOnTmXjxo1h504++WTGjRtH//794xK/iIiISH2lBEoq5ZzLWLVqVevDDjtsu9+x1BUFBQXk5OTwySefhB3v3LkzI0eO5NJLL42pgW1xcTELFy5k0qRJrFq1KuzckUceyahRoxg0aFA8QhcRERGp95RASVUaNmnS5Dzgab8DSXUfffQRkyZN4q233go73qZNG2644YZqlQ8vKCjgjjvu4PPPPw873rVrV0aMGMFll11Genp61PPt37+fp59+mmeeeYa+ffsyfvz4mFbBREREROo6JVBSJTPLRAlUta1YsYIpU6aUKx/erFkzrrrqqmqVD1+yZAm5ubksWrQo7PjBBx/M9ddfz7XXXkujRo2ini+4pTAvL4+VK1cC8N5773HeeefRr1+/mGITERERqcuUQEk0BgLpwIGqBkqp9evXc88991TYBHf06NF06NAhpjm//PJLpk2bxvz588OON2/enCuvvJLhw4fTsmXLmOZ88803yc3NLbelELyy6iIiIiJSSgmUROPg9evXn9alS5e3/Q4kFXz33Xf85S9/4eGHH2bv3r0lx4NNcKtTPnzt2rXMnDmzwmQsOzubdu3axTRnRVsKRURERKRiSqAkKs65gYASqEoEm+BWVD789ttv55hjjolpzq1bt/LAAw/w0EMPsW/fvpLjDRo04KKLLmLMmDF07949pjmXL1/OXXfdxUsvvRS2pbB58+Zce+21PPbYY3z33XcxzSkiIiJSXyiBkmhlAuP9DiIZBcuH33333WzevDnsXLAQw2mnnRbTnN9//z0PP/ww+fn57Ny5s+R4sAnuLbfcwhFHHBHTnMEthU899RT79+8vOR5cxRo1ahQdO3bkySefjGleERERkfpECZRE6/iNGzce3rFjx2/8DiRZBMuH5+bmsnr16rBzRx99NCNHjoy5fPju3buZM2cO9913H99//33YuYyMDCZMmMAJJ5wQ05yJ2FIoIiIiUl8pgZKoHThwYCBwn99xJIOCggImTpzI0qVLw453796dG2+8kcsvv5y0tLSo56usCW6fPn0YN24cAwYMiCnGXbt28cgjj1S4pfC2227j2GOPjWlOERERkfpOCZRELXAfVL1OoN5//31yc3N57733wo63bduW6667jt///vc0bNgw6vmC5cMnT57MN9+EL+717NmT0aNHk5mZGVMvpmAyNmXKFDZt2hR27uSTT2b8+PGcfvrpUc8nIiIiIqWUQEksfrply5aW7dq1+8HvQGrb0qVLueeee8qVD2/dujXDhg2rdhPcO++8k08//TTseJcuXbjppptiboJb2ZbCo446iptvvjnmLYUiIiIiEk4JlMSicVFR0c+Af/gdSG1ZuXIleXl55ZrgNm3alKuvvrraTXAnT57M22+HFzVs06YNN9xwA0OHDqVx48YxzVlQUMCf/vQnvvjii7Dj3bp1Y/jw4TEnYyIiIiISmRIoiVUm9SCBKiwsZPr06VVWrIvF8uXLmTp1arlkLNgEtzrJ2Ntvv82kSZP48MMPw4537NiRkSNHctlll8W8pTC0z5SIiIiIhFMCJbEaBKQBxX4Hkgjbt29n1qxZzJ49mz179pQcD5YPr07FunXr1jFjxowKm+COGTOG9u3bxzTnJ598wqRJk/jPf/4TdrxVq1YlWwqbNm0a05yvv/46kyZNYsuWLSXHYimEUZsC9+NdBAw3s91+x1MXOEcHoBmw2gyraryIiEh9pQRKYtVhw4YNJ3fq1Ol9vwOJp6oq1t16660cd9xxMc25bds27r///grLh48fP55DDz00pjm//vpr8vLymD9/frkthddccw3Dhg2jVatWMc25ZMkScnNzWbRoUdjxrl27xlwyvTY457oBjwLtgDOcc78xs8/8jSq1OUcL4FDAAU2d4yszinwOS0REJCkpgZKYFRcXDwTqRAJVWfnwk08+mXHjxtG/f/+Y5vzxxx959NFHmTlzJj/8EF5vIyMjg4kTJ9KrV6+Y5tywYQPTpk2L65bCFStWMGXKlHJbCps1a8ZVV11VrS2FieacawA8hZc8AfQCFjnnrjOzv/kXWepyjoZAD7zkCaAlcIxzLDdDq3siIiJlKIGSmDnnMoGJfsdRE8GKdZMmTWLVqlVh54488khGjRoVc8W6YDKWl5cXtg0OoF+/fowfP55TTz01pjmr2lI4duxYDj/88JjmXL9+Pffcc0+FWwpHjx5Nhw4dYpqzFuUAZ5Q51gKY65z7OXCdme2q/bBSk3M4vOSpUZlTjfGSqK/N+K72IxMREUleSqCkOk5at25dt65du671O5DqKCgo4I477uDzzz8PO961a1dGjBhR7fLhOTk5fPvtt2HnevXqxU033RRzMrZ7927mzJlT4ZbCP/7xjxx//PExzZmILYW1yTl3PDCmkiG/A04MbOn7spbCSnWH4q04RZIO9HSOQjPW1GJMIiIiSU0JlFSHS0tLuxB40O9AYlHRvT4HH3ww119/Pddeey2NGpX9IL5iZsarr77K5MmTWbp0adi5n/zkJ2RnZ1e7CW6kLYUnnXQS48aN44wzyi7AVK6qLYW33347xxxzTExz+sHMPnXOXQLMBiq60esE4APnXJaZPVF70aWeQNGIaJYaOztHY+Brs7pZPEZERCQWSqCkWgJV0FIigfryyy+ZNm1auSa4wfLhw4cPp2XLij6Ej6ygoIDc3Fz++9//hh3v3LkzI0eO5NJLL6VBg+j/e0WzpbC6ydjdd9/N5s2bw8717duX8ePHc9ppp0U9XzIws7875z4FngZOrGBYC+Bvzrnz0Za+iEKKRkTrYKCJc6wwY2+Vo0VExBfOubZAJ7x7hXcBG83s28qvklgpgZJqMbNzCwsLm3Xu3Dlp35yuXbuWmTNnVnivT3Z2Nu3atatkhvI+/vhjcnNzeeutt8KOt27duqR8eJMmTWKas6CggD//+c989ll4IblEbCk8+uijGTlyZMxbCpOJmS13zp0G3AUMr2To74CTA1v6Pq9kXL0SoWhEtJoBxwaSqB+qHC0iIrXCOXcYMAwYiFdcqez5zcC/gPvN7O0q5joNiKYo0w7gR2Az8AlecbFXzCzih2zOuYbAspBDP40lsXPOZQHZgS/fMLNror02ZI4OwKIqB3qv60dgK/AZsAR42cxK7qlQAiXV1dQ5dxbwgt+BRLJv3z7OOOMMiopKKzE3aNCASy+9lJtvvplOnTrFNN+KFSuYPHkyL730UrkmuNdeey3XXXddzBXrqtpSOHToUBo3bhzTnAUFBUycOLHclsLu3btz4403cvnllydtb6dYmNkeYIRz7n3gfrxVp0iOobRKX73f0ldJ0YhoNQCOdo5VZmyucrSIiCSMc64RcCfeh4mVvWFoD/wW+K1z7lngD2a2sYKxTYEjYgzlosDv651zQ83sxUjhlpm3YYzP0Trk+mWVDaxEOrG/toGB33c450ab2UOgBEpqwMwySdIEyszCkqcLL7yQ8ePHc8QRsf2/WbduHVOmTOHZZ58tt4r1u9/9jhEjRsTcBDcRWwoXL15Mbm4uixcvDjveqVMnbr755pi3FKYKM5sbSKKexrv/KZKWaEtfUGVFI6LlgMOdozlquisi4gvnXEvgOeCckMNFwJvAx3grQ43wPjT7GdA1MOb/4e3OONfMVsY5rC7A8865gWb2rzjP7beDgAedcw3N7C917x2V1KZMvCXjpH8DFWvytHXrVmbOnMljjz3Gvn37So6npaXx61//mtGjR3PIIYfEFENVWwrHjBkTczL28ccfM2nSJAoKCsKO12RL4auvvso//vEPevfuzdChQ2O61g9m9qVz7lSi39J3iZl9UTvRJY8YikZEqwNe090VZuyvcrSIiMSFcy4N+DvhydMcYIKZbYgwPh3vZ+A0oA1wOLDQOXdSFR8qFppZl0riaIqXoP0KGIu3etUAmO2cO9LMkr2XYGsz+z7SCedcY7wPHX8O3Iq3igcw1Tk3XwmU1ET3devWndC1a9f/Vj00NezatYtHHnmkwvLht912G8cee2xMc27dupUHHniAhx56qFwyNnDgQCZMmBBzMrZy5Ury8vLKNcFt2rQpV199dbWa4L7//vvk5uby3nvvAfDcc8/Rt29fevfuHdM8fohxS9+7gSp9T9ZagD6rRtGIaAWb7n5uxoEqRycp51wjM9tX9UgRkaQwBjg38NiAEWZ2b0WDzewA8GjgZ+TbeJVsjwLG4SUH1RJIkD4FPnXOfYaX1AF0AwYDj1Z3br8F7uVaDix3zr2Fd+9UY6AJMEwJlNRIWlpaJpDyCVSwYt2UKVPYtGlT2LmTTz6Z8ePHc/rpp8c0586dO3nssceYMWMGO3fuDDuXkZHBxIkT6dWr3L2elSosLGT69Ok89dRT7N9f+qF/cBVr1KhRdOzYMaY5ly9fztSpU8slY+A18k0lMWzpe8I5dwH1YEtfDYpGROs7oINz7DYjtf7BUHJj8yvOuY+B0WZWVNU1IiJ+cc61Af4YcugvlSVPoczsc+fcrcDMwKEs59wd8fi+Z2bPOefeAfoHDp1PCidQoczsI+fc34CrA4fOVwIlNRIoZ57jdxzVFaxYl5uby+rVq8POHXXUUdx8880xV6wLJmN5eXls2bIl7FxGRgbjx4/nxBMrqsAd2fbt25k1axazZ89mz549JceDq1jjxo3jsMMOi2nOdevWMWPGjHJbClNdjFv6jnPODTazFbUTXe2KQ9GIquwAdgI9A8+3zox1CXquRJkKnBn4daxz7gIlUSKSxH5P6S6LrcAtMV7/V2AG3odq7YHjgQ/jFNsblCZQPeI0Z7J4g9IEqocSKKkRMzt106ZNHTt06FBRNZekVVBQwJ/+9Ce++CL8dphu3boxfPjwmMuH79+/n6eeeopp06axYUP4FuTevXszfvx4BgwYEFOMVW0pvPXWWznuuONimnPTpk3MmDGDuXPnhhXaSE9P55JLLuHFF1/k++8jbglOGSFb+j4A/kLFW/r6AEucc783s6dqLcDaE4+iERXZC6zF2wYS1NU5mpIiTXedc5cDN4Yc+ljJk4gkuUtCHj9uZj/GcrGZbXfOXYm3FQ2I686B70Iep37J33Bhr00JlNRUWnFx8QWk0DLtBx98QE5OTsm9PkFt27bluuuu49prr6VRo+g/sDczFixYwF133cXXX38ddq5Hjx6MGTOm2k1wK9pSOG7cOPr371/B1ZH9+OOPPProo8ycOZMfwXCN+QAAIABJREFUfghv4xO6pfD1119P+QQqyMz+6pxbTNVb+p50zl0IZKXATa9RSUDRiFDFwDd4NyKX/ZQhJZruOudOBB4KOfQdkO6cewE4ALwL5JvZlkjXi4jUtkDlvdAtLPMrGlsZM3s8PhGV85OQxyn3wXoVwl6bEiipMTMbSAokUMuWLWP69Onlyoe3aNGCIUOGMGLECFq0qGihIrKCggJycnL45JNPwo537tyZkSNHxlw+PLilcNKkSaxatSrs3JFHHsmoUaPiuqWwX79+TJgwgVNOOSWmOVNJNbb0/cbMvqqd6BIjgUUjgr4hUIWvgvNJ3XQ3cA/B3/HiDGoD3BTydSYwyjn3azN7oxbDExGpSG9KWxAV4zV4TQrOuYOAi0MORdOwNiUEqh4OCTm0SAmUxMP5X331VeMePXok7afN2dnZLFq0qFzFumuuuYZhw4bRqlWrmOb78MMPmTx5Mm+99VbY8TZt2nDDDTdUuwnuHXfcweeffx52vLpbCoPJ2J133smaNWvCzvXu3ZuRI0dy7rnnVnB13RKypW8J3pa+5hUM7QN8mMpb+mqhaEQh3taPg6sYl5RNdwM/COdS+mniPuAJvHsAHDAA+DXeylob4Dq8ve8iIn4L7XXyvZntqHBkLXLOtQf+Rml8+4F5/kUUP865ZsB9eO8PguYqgZJ4aNGsWbMM4FW/A6nIO++8U/K4YcOGXHbZZYwcOTLminUrVqxgypQp5SrWNWvWjKuuuqpa5cM/+OADcnNzeffdd8OOJ2JL4U9+8hOys7Nj3lJYV5jZ4yFb+o6vYFjKbumr7aIR0YSE13S3KbAmSZru3gZcGPL1TWZ2f8jXM51z/YAFePcGZNVmcCIilWgT8rg29to3cc5dUsG5NkBbvMTiQsI/mJxqZl8mOrg4uMg5F6kS70F4r+9YYBDe6wz6p5m9oARK4sI5l0kSJ1AAzjkyMzMZO3Yshx9+eEzXrl+/nnvuuafCJrijR4+mQ4fYbjepaEth8+bNufLKK5NiS2FdZGbLAlv67sGrZlSRVNzSV9tFI6LVCa/p7ko/m+4Gvk+F9jx5tEzyBICZve+cOwtIq6jJoojUDc65JngflJwPrMZ785+slVlDt6HURvncNngfOMbifmB8AmJJhEdjHP8CcDmU7qMUqalBhN8/4KtGjRrRsWNHNm707mE8++yzGTduXMxNcLdt28b999/Pww8/zN69pTsUg+XDx48fz6GHxnaryZo1a7j33nt54oknKC4uLVQWTMays7Np165dTHN+9NFHTJo0qdyWwtatWzNs2DCuueYamjRpUsHV9U9gVSnLOfc20W3pu9bMkno7gnO0w5+iEdFqhdd0d4UZtb6q55zrgVe+N1gZ6kPghorGm9nSMte3xqvmWBhoSikiKSywnfdivPtjQz9VvcY59yRwm5mt8iO2SmwLedzatyjKOwD8Cy/5/LffwSTAO8B9ZvZk8IASKImXIwoLC3t17tx5adVDE885x7PPPsvLL79Mv3796NevX0zXV1Wx7vbbb+eYY46Jac6tW7fywAMP8NBDD7Fv376S4w0aNODSSy/l5ptvplOnTjHNuXz5cu666y5eeumlsC2FzZs35/e//z3XXXcdLVsmakEi9cWwpe+pQM+zpNzSFygaEduyamyqKhoRrSZ4SdTXZmElYRMqsIf975S+4dgKXFzV36Vzrhtej5VfAIcEDu92zhUA95vZPxIUsogkiPP2r18C3EHkFfUGeDsQ/p9zbhYw2cy21mKIlQmNo7VzrmmCfyb9QMW9PvfibeteCXwUxf1YRXgfxgU/xIp1q3nojeXxajcxEdgT4fh+vC2S3+K9tnL38SqBkrgJbI9JigQKvPt9brihwg+YIwpWrLv77rvZvDn8/0vfvn0ZP348p512Wkxzfv/999x3333MmTOH3btLv88FtxTecsstHHHEETHNuXbtWqZOncqzzz5bbkvh//7v/zJixIiYV7E+//xzJk+eXLJqF4yxrgvZ0jcDuLaSob/Da7Q6OAm39O0DdlHxSlpNRFs0IlrpQM9abrr7EKVl7A8Al1f1ybJz7lq8fxNlk8amwHnAec65l4CrzawwvuGKSCI4584BJgMnRzG8KTAauC6QSE1Kgi29/6U0CUnHq8qXyGp3O83srnhMZGbmnPuR0m3msf68Cr2nIV5J4z3V/TtVAiVxEyhnfrffcVRHsGJdTk4O3377bdi5o48+mpEjR8ZcPnz37t3MmTOH++67r1xfpYyMDCZMmMAJJ1TUmiiyrVu3MnPmTB577LGwVay0tDQuvvhiRo8eTffu3WOac9WqVeTl5fH888+HbSls1aoVvXr1immuVBX4BO/3zrm3qHxL30mUNt5Nmi19ZuxzjqXAEcQv0YHYi0bEoqtzNAG+SWTTXefcCAJ71gNuM7N/VXHNZLyVp1ArgQ+AhsCZQDu8eybeds6dY2ZfIyJJyTnXH5iE9383oj59+vDll1+ya1e5mgIt8L4fXO2cy8Vbffal6rCZbXPOLQOCW2DOpRoJlHNuIqWNdP9qZp9XMjyevqc0geoS47Wh431fEVQCJfE0YN26dW27du3q+z/sWBQUFDBx4kSWLg1fPOvevTs33ngjl19+OWlp0TfUDq5iTZ06NWw1B7xv0OPGjWPAgAExxbhz507y8/PJz89n586dYefOO+88xo4dy9FHHx3TnBs3buSee+7hiSeeoKiodDW8QYMGDB48mFGjRsVcGCPVhWzpewY4roJhB+Ft6TsbGO7XD9KyAknIV87RGYgti46sJkUjotUWMCAhyYdzLoPwD3X+ifcmqrJrRhKePH0L3GBmC0PGNMK7Sfo2vK2TC5xzfc0sUjUnEfGJc+4YvG1a/48KWjuEtvWoaKt9QHtgOnCzc+5OYI6Z+VEUZz6lCdTVzrncWOJwznUAbg859Ld4BleFFUC3wOPjgedjuDb0JvZvKxxVS6J/VyhStfS0tLSf+x1EtBYvXsxFF13E4MGDw5KnTp06cccdd/DWW29xxRVXRJ08mRnz58/nrLPOIjs7Oyx56tmzJ/n5+SxYsCCm5KmoqIi5c+cyYMAApk6dGpY89e3bl+eee45HH300puRp586dzJo1i4yMDB577LGS5Mk5x6BBg3jjjTe4++67Y74fq64ws2XAKcDDVQz9PfCOc+4nVYyrVWYUAsupWYWmeBSNiMZ+YJNzHOtcQqoH3oS3YgTen8kQC71ZsAzn3GlAXsihT4DTQpMnADPbZ2YTKU20ehFe3U9EfOScO9Q5l4/3f/gSIiRPwZ/LCxcuLOmJ2LZtWyZMmMDbb7/NFVdcUVHvxe5APvCZc+4SV/t73e+j9B6gQ4FRMV5/WcjjLcCyeAQVpc9CHke9rcc5dxil27ABPopTPNWmBEribaDfAVTl448/ZsiQIVx00UUsXry45Hjr1q2ZMGEC77zzDkOHDqVhw4aVzBKuoKCA888/n6ysLL755puS4126dCEvL4/XXnuNQYMGRX1PUXFxMfPnz+fMM88kOzubTZs2lZw76qijyM/P5/nnn4/pfqzdu3cza9Ys+vXrR05OTlgylpGRwQsvvEB+fn7M92PVRWa228yuxes8/mMlQ0/Cq9L3m9qJLDpmbMe7H7G6q2PxKhoRzfN0w9syebRzYU0i4+FSvDcbO4FfV7bX3TnXEK+kbXBnxhrggirub5qK9xrAq+qoUpciPnLOtQ9swf0S70OuchlQND+Xu3btGs3P7qPwChD9t5JeSXFnZmuBB0IO/ck5F9WH1865Q/FWzoPmmlm8CjJE4/WQx6c65y6I8rrbKM1ZfsCriucrbeGTeLsA79+Vb71eKrJy5Ury8vLKNcFt2rQpV199dbWa4C5ZsoTJkyfz9ttvhx1v06YNN9xwA0OHDqVx48YVXB1ZRVsKu3XrxvDhw7nssssq+lQsokRsKawvAlv63sf7IVnZlr55zrmfATeaWbl9H34wY5dzfI53/1IsqzvxLhpRkbV4cQX/0wWb7jYHVsej6W7gjcGNzrm7zayqLR+XUrpd8QDwWzNbX8X8xc65V/GKj7TBu6H73cquEZH4c84dDGQDNwLNIo05+OCDuf7662P6uRxcpaqoVUjA8cDTzrl3gHFm9mb1XkVMbgHOCjx3Y+CfzrnxwL0VJUSBLc2PU/q9fTOQm/hQwyzE2w1wZODrJ51zw4AnzazcvbCB9hF3AleFHH7YzCr7YLNWKIGSeGtTWFjYv3PnzrXxDSQqhYWFTJ8+naeeeor9+0vzumDfpVGjRtGxY8eY5ly+fDlTp04tl4wFm+BWJxl7//33yc3N5b333gs73rZtW6677jquvfZaGjWKvuqnmbFgwQImT54ctioG0KNHD8aMGUNmZma9qLRXE2a21Dl3CjATGFrJ0N8DJweq9K2snegqZ8Z+51iGV4I7mn/kiSwaEeo7vNWxbhHOdQAax7PpbhTJE4T/3T5qZgVRTh/6g/xwQhIo51y6ekaJJI5zrjnwB2AsFfRFCv5cHj58eLXbevTp04enn36agoICJk2axMcffxxpWH/gP4EPVbLNLGHbzMxst3PuF8CLwNF4SdRU4Cbn3D/x+txtwUsmewI/B0I/Kd0FXBapPHcimdk+59yVeCtRjfH6A84F7nTO/Rvvfti9eB+snQCcQ3j1vWV497T5TgmUxJ2ZZQK+J1Dbt29n1qxZzJ49mz17Ssv8B8uHjxs3jsMOOyymOdetW8eMGTN48skny5UPHzx4MGPGjKF9+9h2IS1dupR77rmH+fPnhx1v1aoVQ4cOJSsrixYtWlRwdWQFBQXceeedfPrpp2HHu3Tpwk033cSll15Kgwb67x+tQJW+a4P9f6jgE0680rjBxruxdm9PiMBKzmrn2I23X76ijLk2ikaA13NjQxXPU6tNd51zTYHQ/bB5FY2NILRUZcnqY6BJ55vOubExJGMiEoXAltur8N5Md440pmnTplx++eXVautRkYyMDDIyMircKRJwDvCBc+7vwPhEtb0ws1XOuQHAI5TeT9QdL6GszFfAlWb2dhXjEsLMFgWSv6fxvtcDHAZcU8WlHwG/jKLfVK3QOyiJu0A/qGw/YygqKuLUU08t1wT33HPPZezYsTGX5960aRMzZsxg7ty5YRXr0tPTueSSSxg9ejRdusRWkXPlypXMmDGD5557Lqx8eHBL4R/+8AdatWpVyQzlffjhh0yaNCmuWwqlVIpv6dsUSKJ6UFpYIai2ikYcwPuE8SdUfQ9ubTbdbU9pU8cVZrY8mouccx3xttEEhZYCPhvvE+l/O+fGmNmMeAQqUp8FPpi4GK+aZsQCPjXZXRKtjIwMXnnlFRYuXEhubi6rV68uOyQNr3jFRc65R4A/VbUluDoCDX5/4Zz7KXAz3vedij7g+xx4EHjI74bwZvYv51wvYALe9um2lQz/L6Vx1+b9WpVSAiWJ0Gvt2rU9unXr5luz0eLi4rDk6ZRTTmH8+PGccsopMc2zY8cO7r//fh566KGw3hDOOS688EKys7Pp2TO23U4bNmxg2rRpcd1SuGLFCqZMmVJuS2GzZs246qqrqrWlUCILbOk7He8m3t9WMjS4pe83ydIjyIwfQu6LCu11VVtFI74GuhLeUb4yfjTd3RDD2NsofS2r8W5cDwp+mtoQrxiJEiiRGgg0wZ0CnFjBeTIzMxk7diyHH354wuNJS0tj0KBBnH/++cybN48pU6aEFXwKaIj3s+AK59zDQI6ZlRtUU2b2OvB6oJBNH7wt2+3xVvw3Ax+Z2cZKpig7V8L39gcK9Pwh0KuvJ95WxDZ4ucnmwK+VZhbL9+RonjMur00JlCREenr6QJLoDcO0adNiqi63Z8+ekia427dvDzs3YMAAxo8fT+/evWOKoaothdX5pl/VlsLRo0fXu15OtcHMduL9QPwXVW/p+8g5N9TMnqm1ACsRaLq7DK/pbhtqv2hEbMuqnkQ33V2D1+CxFVH20Ap84ntdyKHpwRLpzrm2wK9Czk2JU5wi9U5gm1oukFHRmIyMDG699VaOO66ijQGJ07BhQ6644gp+/etf88gjj3DvvfeyY0e5XWbNgOHAVc65vwC5idiKZmZ7qEZjXT8F7hNdRu2WU68xJVCSKEmVQEWruLiYhQsXcuedd7JmzZqwc6HN9mKxa9euCr+pZmRk8Mc//pHjjz/+/7N35+FRldcDx78nYV9EAUVAEQUVcKWIskXQgqIQqYrGKta2LumvaUVcIpJat6IYt4KijXtdqhFxKW4otdWwKlStCoiokS0gq8oiBHJ+f9w7YZLMTGaSmXtnJufzPD7C5M2dQyCZOfc97zkxXXPTpk089NBDPProo+zcubdTdUZGBiNGjGDChAkccsghMV3TxC6opG8aVYf8BdsHp0PTwyRJSZ8qe4AvRWiPU1bnZ9OIaLUDmouwTJW4fg1VVd2D178CuopIVqRzSyLSHShmbxnil8AjQUsupurOVFKchzMmlbjNe24Hfh5uzQknnMANN9xA//79vQssjBYtWpCXl8dFF10U8mapqzVOB71LReRuYLKb9JgUY3OgTKIM2bx5c13uNPsiMAT35JNPJjc3t0ry1K1btxrD9qIRGII7cOBAJk6cWCV56tOnD9OmTaO4uDim5Gnbtm1MnTqV/v37M3Xq1CrJU1ZWFm+//TZFRUWWPHlIVZfgNCD4Ry1LrwDmiEjSDNpSZYP7y0Ts6gTswCmLi0dNTQvgKBFi66oSnUL2zs16TERCHkwXkWOAd6FyZtUe4Dequj1oWXBHv/tUNenGOhiTrESkp4i8gNPRMmTy1KNHj8p5iMmQPAULzJT84IMPyMvLC9c9tz0wCfhCRK4QkUSePTUJYAmUSZTGO3fujG2rxiclJSWceeaZ5Obm8vXXe4+qdOzYkcLCQv7973/XaQju4MGDyc/PrzJ76Ygjjqj8oT9w4MCoYwwkYwMGDGDixIlVznf17duXl19+meLiYnr16hX1NU38qOpWVb0I56zL9ghLT8Ap6fNs6GJt3AYNi6n70N1I9uCcrzqM+L3eNMYZuhuftlouVf0c584wODtyC0XkYhFpASAiXUTkVmABe8v8FPi/4G5W7vm4wG7kJuCxUM8nIs1F5BoR2S+efw5jUpX7PVYEfIrTgKHGi263bt2YPHkys2bNIjs7u8Y1kkn79u0pKChg9uzZjBkzJtz8xi5AEfCpiJwnNlckZVgJn0mYioqKEcCLfscRTrjBePvuuy95eXlceumlNGvWLKZrlpSUcNttt/HZZ59Vebxz586MHTs25iG4gZLCiRMnsmJF1VE2PXr0YNy4cUn/ItKQuCV9C3FKtiKV9BW7df3XJUlJX2Dobnf2DraNh1ibRkQrAzjM3YmKy9BdAFWdLCJNgDuBTjhDJ58Ske3UPOe2B7haVR+p9njw7tND7nm5KkTkWJwdy6OA/xORc1T1f/H4MxiTakSkPXAtMBbnPGYNHTt2ZNy4cSk5guOggw6isLCQSy+9lHvvvbfGyBJXT5zXjQ9EZIKq/svbKE2sUutfoUkpIjIC541OIsuDYrZ8+XLuuuuuuHasW7RoEbfffjvz5lU9uxmYfB7rEFwg7JyJbt26ceWVV3LuueeSkWGbyMlGVRcHdem7MMwywTlQPMAdvOt7lz536O4XRD90tzb1aRoRrQNwmj/Erc25qt4lIh/htM0NlB1WT56+BH6vqrOCHxSR1sD57m9/Au6v9nEBrsJpwRxIKrsB43Bm2hjTYLjfL78HJhDmxk1gBEddbmgmmyOPPJKioiKuuOIKJk2aVGPciOtEYJaIzAHGq+rsUIuM/yyBMom0/7p1607s0KHDfL8DAVizZg1//etfw7YPr0vHui+++CLkHaX6TD4vKSnh9ttv55NPPqny+IEHHsjVV1/t+x24hQsXct999/n2/KlAVX8ELhKRmUTu0ncCzuDdy1TV993aGIbu1iYeTSOisQH4UYQjgBWqxOUwtqrOEpEjgVE4DXF6ALtxdtTeAF4KM4/kl1B5Puvp4LbBItIJeBIIVdocsszPmHTklsVejpM4hXzRDbyGpuMIjsAZ6JKSEiZOnMj//hdy83kgUCIis4BrVfWTUIuMfyyBMglVUVExEucgqK8KCwt566232LVrb7VURkYG5557Ltdeey0HHxxV5+JKq1atYsqUKWHbh+fn58c8+fzjjz/m9ttvj2tJYTwtXbqUSZMm8fbbb4dbYp2Eqgkq6ZsGhDug1ganS9/9JE9JX6Shu7X5CadpxJFxD6yq7UApznmlNkBrEb5SZUvEz4qSmyC9SGxlyIHZTxXAPYEHReQXOF36Aj8UdrP39Xex3WU2DYGINMbZab0Jp0S2hsBr6HXXXcf+++8faknayMrK4s033+S1117jzjvvrHIGO8hQnJts04EbVPUrb6M04VgCZRJtJPAnv4P45z//WeX3p512GuPHj6dHjx4xXWfjxo387W9/45FHHqmRjI0YMYI//elPMSdjiSgpjKcVK1Zw991389JLL1FREbYacxvwz3AfbMjckr5+OAeFfxlmWXBJ3/mq+o1nAYbhDt1dDBxB9AN2E9E0IpRyYBnO+apAiWBg6O4qVcoS+Nwhud35ApO6X1XVL0SkOU6nrSuDln4IvA9c4/6++hkqY9KKiGQA5+K0JO8eak3gNbSgoIAuXbp4Gp+fRITs7GxGjBgR9rwzzs/S84BfiMgTwM3uQFjjI0ugTKIdV1ZWdkjHjh2/9TsQcLbOCwoK6NevX0yft3XrVv7+978zefJktm7deyZcRBg6dCjjx4+nZ8+eMV2zrKyM++67L2xJ4TXXXEOHDvE4ilI369evZ/LkyTz99NOUl4eqVqr0Fk6JQUoNwfOSW9J3oYi8Re0lfR+JyKWqOt2zAMNQZaebRAWG7tbma5w7y/FuGlElLGA50BKo3mpcgINFaEHihu6Gc3nQr+8WkROAZ3ESUHCSy9uBW9m7K/8T8HSoi7nJ1+mq+kpiwjUm8URkKM6IgN5hPs7IkSO5/vrrYxp2n24yMjLIzs5m+PDhFBcXc9ddd7F+/frqyxrjjMO4SEQeACapalx23E3sLIEyCSciZ+K8afRM48aN2XfffdmyxfnZcvTRRzN+/HhOPfXUmK6zY8cOnn32WSZPnszGjRurfCwrK4sJEyZw3HHHxXTNzZs38+CDD9YYshe4A3fDDTfQtWvXmK4ZT9u2bePJJ59kypQpVdqlh7AAmKCq73oUWspzS/o+xRnCGm54bRtgWrKU9AUN3e3I3vbdoXjRNAJgBU4yEqlEsB3QTIQv4z10NxQRaQZc5P52LtAX501joHPMCuBiVX3fTaz6uI+/pKpVf7A41zsYmA70FZFngSuqzZkyJqmJyACcZiknh1uTlZVFQUEBxx57rHeBJbnGjRszZswYzj77bJ588knuv//+KjMkXS1xRi5cLiKFwP3288F7lkCZhFPVEXicQGVkZPD000/z0ksv0a9fP0aMGBFTx7ry8nKKi4u55557qsxxAujduzc33HADgwYNiimm7du388QTT4T8gZiVlcWNN97I0UcfHdM14ynwZw5z5yvYEpwa9hc1uObQREVVPxKRPjhd3i4IsyxQ0tff7dKXDCV9ZSLsJHR5npdNIzbitP+u7Ru6JdBLhOWq1GglHmfnAm3dXx8HDAj62HM4s6K+d38fvFNVo3xPRIbj7FwFrncRzo7lOfEM2JhEcEtZb8QpOQupT58+jB8/PqZZiA1Ny5YtycvL48ILLwx5w9XVFqdE+BoRuQf4q6omYp6fCUHs/U9iuXeR/xD82MyZMznmmGN8isgXOzIyMvbv0KHDtmg/QUSuBe4KfuzRRx/lzDPPjHtwwVSV1157jUmTJvHNN1Xfs3bv3p3rrruOkSNHRj1UF/YmJnfffTffffddlY/16dOHCRMm+DpJPdKsqWpWAn8BHlPVPZEWmuiIyK9w2p1HOmP0PZAUJX0Abnnc4ewt0/sJ59zTkST23NN2nOS9O7HtclXglPPV2OmJFxH5NzCk2sM/4OwgPhy0rhWwGqdl8zKgR+AmhNviPB+YiHOeK2AakKuqcWvVbky8uV0rbwNGE6Z755FHHsnVV19tswvrIFzJfzXf4pQJ22u0B2wHynih+Z49e35OkjcZKCkp4S9/+Quffvpplcc7derEVVddFXP78EBicscdd1BaWlrlY8nyQhJu1lQ1G4C7gcmqap324iiopO8FwhyuJvlK+oKH7rbE26YRnYi9RDAD6OYO3V0Rr6G7Ae4Q0Orb0XOBMSF2Dn/J3nk3jwYlT/vgDO0dFbR2M/A7VX2hjnEdDeynqiV1+XxjouGWm/4J+C1h3lMedNBBXHnllTEPkjd7dezYkcLCQnJzc5k8eXK4pk6H4DQrGisiN2NVIgllUziNJ9yhuknpv//9L+effz45OTlVkqf99tuPgoIC5syZw5gxY2JKnkpKSjjttNPIzc2tkjwFJpLPmjXL1+SppKSEM844g5ycnEjJ01bgTqCbqt5pyVNiqOpHwM+A5yMsC5T0zRaRQyOs84Qqu4EvgKU4nfD8ahoRiw7AESLE9R2cqm7AaTW8Dqc9+Z3AkDBll1e4/98F/B0q79zPo2ry9C5wbD2Sp9Y4O1fvisj1dbmGMZGISDsRmYRzY+MKQiRP7du3p6CggNmzZzNmzBhLnuKgW7duTJkypbb3EL1wbsrNFZFTvIuuYbEdKOOVbOB3EN+7v/Xx5Zdfcvfdd8e1ffjChQu5/fbbmT+/6uirdu3a8bvf/Y7LL7+cJk2ahPnsxAs3a6qaXTgDP/8cPAjUJI7bpe+XIvImkUv6+gIfisglqvq6ZwGG4O7kbBNhE07ziLoO3a1NNE0jotUGOMptLrEjDtcDQFXfE5ETgU6qGnLunYj8DKfLIsArqvqdiIwGHsf5+oFzjmwCcF9d7xy7LaOfxRn+C3CbiLxqXTJNPLiWVrgtAAAgAElEQVRlqHnADYTZDU6W2YXprEePHhQVFXH55Zdzxx13MG/evFDL+uHcRJkFjFfVRd5Gmd4sgTJe6VhWVta7Y8eO//U7kDVr1vDXv/417BDca6+9lgMOCDkcPaylS5dy3333MWPGjCqPt2rViksuuYSxY8fSqlWruMRfF+FmTVVTgdP56/pkaFrQEEVZ0tcOmOGW9F3rDnz1jTt09yeceOP9mhJoGtGL+FVMNMNpLhG3obsAqroCJ9kLJ7h5xONuic2f2Zt4LgYuUtWP6xnKn3BuWAWMs+TJ1JeINAF+jdOGP+R8jWSZXdiQnHDCCUyfPp2SkhJuu+02Pvvss1DLhuLceHsRuFFVv/A2yvRkCZTxjIhkA74lUJs2beKhhx7i0UcfZefOvY1qAu3DJ0yYwCGHHBLTNVeuXMn999/PP/7xjyr1yM2bN+fCCy/kqquuol27dnH7M8QqyoOnALOAa1T1fx6FZsJwu/T9DKdDW06YZYGSvn5ul75Sr+ILRZUf3HNRsQzdrc12oBSnYUW8b2N7OnTXvWt/ofvbzTjNIgIzFRS4Dyiob5ms28HvpqCHnlHVqfW5pmnYRKQRzr/dm4GQ5cP1uflo4iMrK4uZM2eGbYKF85pxHnCuiNiN0jiwBMp4xm1nfovXzxtprlFWVhY33XQTvXr1iumaa9euZerUqTz11FNVhswmyxDccLOmQpiDs7UfsabPeMst6btARN4gcknficBCEfmVqr7hWYAh1GHobiSBphGdSdxcKQE6iPAdUBHv5hLVBDeP2I+9ydNa4Leq+mZ9n0BEDsEZyhvYqfsfkFvf65qGye0KORqn8+oRodbU5+ajiT8RqTKMN9QYFpyfD+cBo0TkSaxUv84sgfJBA26KcsLKlSs7HXzwwWu8eLJIc4369u3LhAkTOOmkk2K65pYtW5g6dWqNxCQwTX38+PEceqh/Z/wjzZqq5kOcIbizPArN1IFb0vcZzuDdSCV9ryVDSV8MQ3cjXob4NI2oTQXwJU5Cc4B7LipRX7vLQzw2Hac9eb3bq7uDfKcD7d2HNgPn2HBNUxciMhSnGcrPwq3Jysri5ptvpmfPnt4FZqISGMZ77rnn8uyzzzJlyhQ2bNhQfVkTnOYfF4nIA8AdQbPqTBSsC58PLr30Up555pkq528aCMnMzDzDiycqLy+nf//+5OfnV0mejj32WJ577jleffXVmJKn7du3M2XKFPr168fUqVOrJE+nnHIKM2fOpKioyLfkqby8nGeeeYYBAwYwceLESMnTF8D5wEmWPKUGVf0v0AcniQonuEtfVw/Cisgti1uOk6TEKtA0oltcg6rpW5yv26FAK5zmEi3j/STunfz32dtA5wfgElUdHY/kyVWE828EnK/5GFX9Kk7XNg2EiPQTkXeBdwiTPGVlZfHGG29QXFxsyVOSa968OZdddhnz5s2joKCA1q1bh1rWErge+EpErheReJVgpz1LoBKvxjvZ1atXk5+fz7Bhw3j77bf9iMk3IjLSi+epqKhgzZq9G12HHXYYRUVFvPnmmwwePDjq65SXl/Pkk08yYMAAJk2aVCUx6dOnD9OnT+fZZ5/l6KOPjmv80aqoqGDGjBkMHjyY/Pz8GoN6g6zCKec5WlWn2WyI1KKqP6jqBTh/h5EmzZ+Ic1g4sROno6DKJpzBt7HMrQo0jehOYl+f1gJb3OcJNHFoAvQUqdzFiQt1XAtcAMwEjlPVp+J1fRHJA34V9NCtfpdzmtQiIkeJyAs47fRDtr3u3bs3L7zwAsXFxRx//PHeBmjqpWXLluTl5TFv3jzy8vJo2jTk1Il2wCRgmYhc4Z59MxGIvY9KLBHphvNDaf9wa/r06cOECRPo37+/d4H5Z9vOnTvbd+3aNeLBHBG5Frgr+LFHH32UM8+M7n3hzp07q+wGzZ49m8MOOyzqICsqKnjllVe46667+Pbbb6t8rEePHowfP57TTjst6uslQklJCbfccguLFy+OtGwTUAhMUdW4tW02/nEbTLxA5B0aBXwv6QMQoRFOI4iQtz+DbMfpRHc4iTv3BPAjzk7skRFiWqfKt2E+ljREpB/wHk7yB/AaMEpV67LzZxoYd7f6BuBSCD0f7fDDD+faa69l5MiROJupJtUFOhHX0lyqFLgDZ+C3/TwJwXagEswtozgKeIAwd2IXLVrEueeey5gxY8K1oEwnLZs2bTrE7yAiKSkpYfjw4fzhD3+okjx16tSJwsJC3nnnHV+Tp4ULF3LOOeeQk5MTKXnaRtUhuJY8pQm3pC+QRIWTNCV97tDdpcD6CMu8aBoBzs/g5UAXIid0HUQ4Mt5Dd+NJRDoAL7I3eSoFfm1vdkxtRKSziEzG+b68ghDJU+fOnSksLOTdd98lOzvbkqc0EngvU8vfbVec0uBPROQ8TwNMEZZAeUBV16vqH3HurD6MU99fw7vvvsvpp59Obm5uqBaUaUNERvgdQyiLFi1i9OjR5OTkVElk27ZtS0FBAXPmzPF1mvrSpUvJzc3lrLPOqjGoN0g5zr+x7qo6XlXjNufGJA+3pC8Hp6QvUolcoKTPk7OH4aiiqnyD8ya/etmDAl/hXdOINkA0vZYDQ3eTbhKoiDTGSaA7uw9tx9l52lhtXSMR6SYip4vIOWLvghs0EWkrIpNwvg+uBGrUcrVr1y4pXu9M4nXv3p2ioiJef/11hg0bFm7Z0cALIjJXRKI//9AAWAmfD0SkF85MhdHsrb+vIlnaYSfIio4dO0bseeplCd+yZcu45557agzBbdmyJb/+9a+58sorwx2+9ES4WVPVBIbg3mCHxxsWEQk0mEiVkr7WODeTAjX23+KcFe1FmDKiOPkG2AH0JMzP3TB2A8tVa55n9YuI3AdcFfTQbcACnK9rN5yzXd2BQ4DGQeumA79x2+SbBkJEWgJ/AMYD+4ZakyxD341/PvjgA+644w4WLFgQadlc4GZVfcejsJKWJVA+cuvXbyfMoU1InoGs8ZaRkXFMhw4dwtYrepFArV69msmTJ/Pcc89V6YgYSF6vu+469t8/7NG1hAs3ayqEWcB1qvqxR6GZJCMi++AM3j2/lqXvAxeq6urERxWeCE1xZstsx0mgehH/YbnB1gJlOOXUTWpZG4qCN0N3ayMivwT+UY9LLMNpcf55nEIySUpEmgK/AwoIcw67RYsWXHrppfz+97+nTZtEVs+aVKCqvPXWW9x5550sW7Ys0tK3VfV0r+JKRpZAJYFoZi6k4d2hCR07drwj3AcTmUBt2rSJhx56iEceeYRdu/ZWPwWGAhYUFNClS5eY/jDxFG7WVAhzcXac3vcoNJPkROQKnJ2mSEnCBuBX8RjeWh/u+SIlOZpGRGsj8I1qndqz15uIHIPTlChSu/VdOHGuAb7GSRyr//pbVW1wczQaChHJBC4BbsI571dDYFbQ2LFjOeCAaCpaTUOyZ88epk+fzq233sqmTZvCLeugqmFb/6Y7a1OYBFR1loicgFPSNxHnDUUVW7duZerUqTz//PP87ne/4/LLL6dJk7rcSE0aI3A6vHhm27ZtPPnkk0yZMoUff6xawZIMQwF37NjB448/Hs0Q3M9wWhVP8yg0kyJU9WERWYRzPiZc28n2wOt+D951h+4iwlYSl0BF2zQiWu2ApgkeuhuSiOwLvMTe5GktTunmCqAvTpt0gHxVnexlbCY5uGfczsUp6ewRak1GRgbnnHMO1157ra83Ck1yW758OTNnzmTz5s0AZGZmhppdGrIfekNhTSSShDsrZBpOiUkuzl3CGjZu3MjEiRMZNGhQqg/j7VdWVhbXeSuRPP744/Tt25eJEydWSZ6SYShgDENwS3H+bRxnyZMJR1UXAb2BSP9GAl36ZolIJ08CC0OV1ThNJOK9qxNoGrEv0TWNiFbChu6G474xfhznXBM4zWLOV9WrVPVenDlvAZG6HZo0JSKnAR/gfN+HTJ5OP/10Zs2axZQpUyx5MiGtXLmSsWPHMnToUN58801EhOzsbCZMmBBqedge6A2BJVBJRlXLVfVhnF2o8cDmUOtWrVpFfn4+Q4cOrdH8IEVkAp51Bnv88cfZsmVvQ7rjjz+e4uJiX4cCqmqVIbjr1q0Lt3Q9zr+FHqr6sLUpNrVxu/SdT+1d+k7GaVM73JvIQlNlI84MqEhDgmP1LU6i2DWO1wxIyNDdCG4Ezg76/ThVLQn6fXD3QkugGhAROUlE/oUzpPmEUGv69u3LSy+9xBNPPEGPHiFzK9PAbdq0iYkTJ3LyySczbdo09uzZQ1ZWFu+88w5FRUVpdQY/XiyBSlKqul1V78TpqHQLTh1/DV988QW5ublkZ2czb948T2OsL1Ud6fVzduvWrbJtZ1ZWltdPX6mkpKSyZX1paWm4ZZtxEqeu7iyneL65NA2AezNmIM75l3DaA2+IyGS3PbYvVNkOfE6Yn3UxWgtswdmxSVTr7gzgIJE6NaWImogMA/4c9NCzqjq12rLgBGpDIuMxyUFEeonICzhn4k4NtaZnz54UFRXx6quv0q9fP28DNClh27ZtTJ06lf79+zN16lR27txJVlYWb775pq+VOanAEqgkp6qbVfVmnETqTsLcoQ0M483JyeHzz1OjuZKIDF+8eHFC3nw0atSIFi1aVP6+U6dO3HvvvfznP//xdShguFlT1Wyn6hDc7d5FaNKNqi4k+pK+d/ws6Yty6G5ttuKUtHWnbh33oqU4rdEPT/DQ3f3Y+3P/Y5zBp9UdGPTrjSE+btKEiHQRkSLgf8B5hLhBEJjvM2vWLLKzsz2P0SS/HTt28Oijj9K/f//Kow0/+9nPeOGFFyguLua4447zO8SkZ00kUoSqrgfGi8hDwATgUkLMTAnsbIwYMYIbbriBrl27ehxpTPZp167dIODdeF84MzOThx56iOnTp3PCCSdw8cUX07Spf+cdw82aqqYceAK4RVVDnoEzpi5U9QcRyQHmAIWETywGAx+LyK9U9S3PAgyi6iQmImzDmWMUy92OXTjnnuLVNCKSUpzdu8BZqKNEWKZKxNaZsVLVF0RkKfAYcEGYGyrBSa+V8KUhEdkfuAZn/lfIF7NOnTpx1VVXccEFF9Cokb29MzWVl5dTXFzMPffcU3ls4IgjjuCaa65h5MiRvt1cTkX2HZZiVPVbIFdEpuC0KD2v+pqKigpmzJjBW2+9lfTDeCsqKkaQgAQKYNiwYZGma3si3KypahR4EShQ1S+9i840JOrMrJgsInNwureF69K3P05JXyHOv0lfOtWo8p0IO3F236N5rQo0jWhDfJtGhPIdTkzBBwOaAb1E4j90V1X/h9NprwYRacbeLobbVHVHPJ/b+EtE9gPGAlcT5qZA27Zt+b//+z8uu+wyX28UmuRVUVHB66+/zh133FF5bKBz586MHTuWX/7yl2RmJnKGeXqyEr4Upaqfu4fEBwDvhVoT6O42cODA2rq7+WmU3wEkQuBA5sCBA2vrljgLOEFVz7fkyXjBLen7GU7SHo4A1wP/8rmk73uc5hLRJAWBphGH1rawnrbinE88KMTHGgFHilQ5k5RoHdm7S2e7T2lCRFqIyPU4HSpvIkTy1LJlS/Ly8pg3bx55eXmWPJmQSkpKGD58eOWZ63bt2lFQUMCcOXMYM2aMJU91ZAlUilPVeao6BBiGUx9fw/bt25k6dSr9+vVj6tSptQ1n9Vq31atXH+F3EPFS/UBm8KDeauYDp6jqMFX9r4chGoOqfg+cj1MOFKlLX6Ckz7eJ825J3GLCdCR1edE0Apwy25U4u2LhnkeAg0U4VCShsQRYB740IiKN3YHYy4FJOGfgqggMwZ03bx4FBQW0bp3oalWTihYuXFh5Nv6zzz6jTZs2XHPNNZUJd4rPEvWdJVBpQlVnAX1w3hR9FWrNli1bmDhxIgMGDOCZZ55h9+7kaOGfmZmZ8qdcA7t9wQcyw1iM83c0QFX/41mAxlTjzp6bjNOl75sIS/cH3hSRSSLiy61KVfao8iWwOsSHvWwa8TXOuaxoSgr3B3qIkOjOhtaBLw2ISIaInIfzGlEENXcxGzduzOjRo5k9ezaFhYW0b+/ZKEWTQpYuXUpubi5nnXUW8+bNo3nz5uTl5TF//nyuueYaWrVq5XeIacESqDSiqhXugNWeOPNf1oZat3btWvLz8znllFOYNm0aFRX+jhVS1RG+BlAPu3fvZtq0aQwaNIj8/Hw2bAj7/mUFzt/Jsao6zT2PYozvgrr0RVPS5+vgXXfo7nL2Dt31o2lEi1rWBWtN4ofuNgv6tXXgS0Eiko+TnL/A3mHJlTIyMvjFL37Be++9x5QpUzj44IM9j9Ekv+XLl5Obm8vPf/5zZsyYUblTOXfuXAoKCmjTpk3tFzFRswQqDQUN4+2OM0doS6h1X331FWPHjmXYsGF+D+PNKi0t3dfPAGIVGII7ZMgQxo4dy8qVK8Mt3YDzd3CEOwTXlwP5xkQSQ0nfEPwv6duEc5f+J/xtGhGtwNDdhEyiVNVncW7OlOPEaVKIiHyOM7bikFAfHzp0KG+//TYPPvhgsnfVNT5ZvXo1V199NaeeeiozZsxARMjOzua9996jsLAwaZuIpTpLoNKYqm4LGsZ7J2EOYi9ZsoTc3FxGjRrFggULPI3R1ahJkya+vSGLVUlJCWeccQa5ubl8/XXY+aRbqTrLyYbgmqQWVNI3iOQv6dsOfIpTVudn04hoZQDdREjI1oF7w2woziBikyJEpAPQK9TH2rZty8svv8xTTz1Fr14hl5gGbuPGjdx0000MHDiQ559/nt27d5OVlcXMmTMpKiqyhDvBLIFqAFR1k6qOB44AHgZCHn768MMPOfvss8nJyWHJkiWexigiIz19wjr46KOPOP/888nJyeF///tfuGW7cL7G3VR1vKomZetDY8JR1Q9xSvqmR1gWXNLnZce5Su68qB0k9txPNE0jYtFRhCMSMXRXVd9X1cfjfV3jj02bNnHDDTfw9ttv+x2KSTI//vgjd999N/379+eRRx5h165d9O3bl5dffpni4mKOOuoov0NsECyBakBUdZWq5gJHA9Nw7t7WUFJSwrBhw8jNzeXbb7/1KrwzSdK5ZF9++SW5ubmMHDmS2bNnh1tWgfM1PVJVc1XVSmlMynJL+s4jupK+T0TkNC/iqk4VVeUbnPNJ8T5XGGvTiGjtizMvynpOm4j/ZpcuXcqvf/1rsrOzmTt3rlcxmST1008/8be//Y3+/ftz7733snXrVo4//nj+/ve/8+qrr3LSSSf5HWKDYglUA6SqX7gzpE4CXgu1JjCM9+STTyY/P5/16xPeHbdtWVlZv0Q/SSzWrFlDfn5+ZV1xmL4PipM49XRnOZV6GqQxCRJjSd9bPpf0fQcsI8zueh2V4px5iqVpRLSa4zSX2CcB1zZpZtGiRYwePZqcnBw++eQTv8MxHgu8HxsyZAi33normzZtonv37hQVFfH6668zbNgwv0NskCyBasBU9UNVzQaygJBbK9Xbcyd4GG9SdOPbvHlzLENw+7qJ0zIPQzTGM25JX1/g9QjLAiV97/hY0hfL0N3afAdk4nTdS5RGwD4J7tBnUs89QMjZgIHzt36U2RvvBZpVnXzyyeTm5rJixQo6depEYWEh7777LtnZ2Yh4MWrOhGIJlEFVZ6tqFs4w3pCHewLDeAMDYnfuTEhPBF/PQVUfghvhz/gBMNQdgrvIwxCN8YWqbgSycUr6yiMsPQWnS59fJX3RDN2tTaBpRKJ7RX8PbMfZifJq6K5JfouBE3C6Yn4ZaoFPZfbGQyUlJQwfPryyWVXbtm0pKChgzpw5jBkzhkaNkvLEQ4NiCZSp5A7j7Y3zgztkyU713Zk4D+M9et26dYnuqFVDYJdtwIABte2yLcX52vRT1X95F6Ex/qtW0lcaYekBwBsicrMfJX2q7MGZFVVWh0+Pd9OIcHbiDAUO/LzbH6fVeaKH7pokl5mZKe732jTgKOASQny/VS+z/+47O3abDhYtWsR5551HTk4On376KS1btiQvL4958+aRl5dH06Z2dDJZWAJlqggaxtsDZ7bIulDrojwfFLM9e/Z4tgsVwzmvlThfi2NsCK5p6FT1A5w75G9EWJYJ3IRPJX1uc4mVwFfsHbpb66fhNI3oQmIb2uzBietQqNKNrxWJH7prklzv3r0r2+W7Mx2fAo4kzOtxDDcATRL74osvyM3NJTs7mzlz5lQOwZ03bx4FBQW0bp3oOeEmVpZAmZBUdVe1YbwhfyoHJl/X0qEuaiLiyTmoKEsgNlJ1CG5ct9uMSVVuSd9Ioi/p8+WUsyobcUqiInUSDCjFaRqR6ATmG6ATTiOJ6hI6dNckv969ex9X/bFoXo8DZfb9+vVj6tSp/PTTTx5Ea+pr1apV5OfnM3ToUGbMmFGZOC1YsIDCwkLat0/kMUxTH5ZAmYhUdWu1YbwhfypHOSMpGkM2bNiQsFstUc662kbVIbj2SmRMNTGW9L3plvR5/prjDt1djHO2KZzvcHadEv1uZQ1OV799I6xJ6NBdk9w6d+5cI4EKiOb1eMuWLUycOJEBAwbw6KOPsmtXNPcOjNfWrl3LjTfeyKBBg3jmmWeoqKggOzub//znPxQWFnLggQf6HaKphSVQJiqquqHaMN6QrekCXYICBx/roGl5efnQeoQa0pIlS8jNzWXUqFEsWLAg3LLqQ3C/j3ccxqQbt6SvL9GV9M0SEc/fGaiyC1hC6KG7gaYRB4X4WDwFmkZ0inJ9wobumuTVunXrQ9evXx/xeyTE63GN6oi1a9fy5z//maysrNq6yRoPBSe4jz32GLt27SIrK4uZM2dSVFTEoYd6fgzc1JElUCYmqrrSHcZ7DGGG8QZabw4ZMoQrr7ySlStXxvQcIhK3c1BfffUVubm5ldvjYQSG4PZ0h+CGPPdljAlNVTcQfUnfJ36U9Lnnor6m6tBdv5pGRGtfnJI+OzneQIiIlJeXnxnN2mhej1euXFmlRMz4I1SJZZ8+fZg+fTrFxcUcffTRfodoYmQJlKkTVV3iDuPtD7wbas3u3bt58cUXGTRoEPn5+WzYEOrmb8hrj2zUqFG93syUlZWRn5/PKaecUluTi1lAb3eWU522zIwxKVXSFxi6W453TSO+pmbTiGi1wIbuNiix3kRU1aXu6/FxOIlUDdWbFBhvhGry0aNHD4qKipgxYwb9+/f3O0RTR5ZAmXpR1QWq+nOcGVIhZyJVH8b7448/1nbZA84555w6ldMEtsejaLM+BzjZneVUr0Nbxpi9gkr63oywLLhLnx8lfd8DnwD74E3TiI6EbhoRrUbAkSL4MqTYeO600tLSZrF+kqp+6iZSg4D3Q62p3ibbJEaoNvMHH3wwhYWFzJo1i+zsbL9DNPVkCZSJC3eGVF+cOUnLQq2pPqg20uHWM844o2cszx9DB6JPgfNVdZCqlsTyHMaY6LglfSOovaTvVJwufXE/91gbVSpwmjpsSeDTRNM0IloCHCxCVxu6m/ZaNm3adEhdP1lV56jqYJwbmx+HWlN9UKuJn+pdfjt27EhhYWHlENyMDHvrnQ7sb9HETbXhf7k4Nf81bNq0qcouUajDrccff3yvaJ4zsLs1cODA2mZgfIEzkPB4N0ZjTAIFlfQNJczPAlcH4C0/SvrcobtfAmsTcPlYm0ZE6wCgh0hCyw6Nz1S13meB3RubfXBubC4P8fEq55VXrFhR36ds0AJNtAJdfvfbbz8KCgoqE6dGjexbNp1YAmXiTlV3uzMrDsNJpEKOSF+9ejX5+fn8/Oc/r3G4tUOHDp06dgxfrRLYHh88eDD5+fmsWxe278NqN4ajVfUpVY12qKYxJg5U9X3geJK0pM9tLrGC2Ibu1mYnzu5TolpqtcY5F9UiQdc3PhORbOLQ2ERVK9ybhr1wXgvXVF8TOK+clZVV21B5E8J///vfyjEun3zyCS1atCAvL4958+aRl5dHs2YxV2OaFGAJlEmYEMP/Qh5+WrZsWeXh1rlz5wYelqFDQ1f1lJSUcPrpp5Obm0tpaWm4p9/kPufhNgTXGH/FWNK3UESyPAksiDt0dwnRDd2NJNA0oit1axoRrUwgU4T9Evgcxj9dVq1adUy8Lqaq5e7r8eE4r42bq68J1fDAhPfll19WvneZPXt25RDcefPmUVBQwD77WN+XdGYJlEk4Vf2x2vC/naHWLVq0iNGjR5OTk8Nnn31G9QRq0aJFZGdnk5OTw+effx7u6bYBfwEOc4fg7ojfn8QYU1fVSvpq3AUP0hn4t08lfdtwhu5uq8dl4tE0Itrn6QwcbkN301NmZmbcOw2o6nb39fgQnESqRpZU/bzyzp0hX7IbrED1zKmnnsqMGTMQEbKzsykpKaGwsJD999/f7xCNByyBMp5R1fXu8L8jqWUY7+mnn05xcXGVre+HHnqIRYtCNvoD5672wzg7TjfaEFxjkpNb0ncc8FaEZYGSvrdFpIMngbmChu5urMOnlxG/phGRrMTpIBi4xW1Dd9NQPM5BRbh29RubNTovbd68uXLoay1dbRuEjRs3Vjm/XVFRQXZ2Nu+//z5FRUV06dLF7xCNhyyBMp5T1W/d4X99gNfDrOGNN96I5s5XBfA0cKQ7BLcsvtEaY+LNLek7k9pL+n6OU9I3yJPAXKpUqPIVsIIQw0nD+B5n5yreTSOq24xTZlg9sbShu2lGRE5cv359Qs8EquqG2m5sBs9VnDZtGhUVDeso8datW2t0EM7KyuLNN9+kqKiIww47zO8QjQ8sgTK+UdVP3DtsJ+PMZQq1JtIlZgF9VPVXqvpNAkI0xiRIUEnfMCKX9B2EfyV9a3HGMoTcLQ+yE6dhTaKaRgT8hNMxMNzz2NDd9JJRXl5+hhdPpKor3Bubx+AM463x4vvVV18xduxYhg0bVqPxUzrasWMHU6dOpW/fvkycOJGtW7fSp08fpk2bRnFxMccee6zfIRofWQJlfKeqJao6CMjGmdNUmxJgoGHpT4MAACAASURBVDsEN+SMC2NMalDV93C69EUq6WuEfyV93wOfE6LEyVWB0zTiUBLbNGK3+zyHEfm1OzB019Ovk0kMEUlYGV8oqrrEHcbbD/hXqDVLliwhNzeXs846i/nz53sZnieqN9P4/vvvOeKIIygqKuKf//wnAwcO9DtEkwQsgTJJQ1Vfw3kjdTGh70h/DoxQ1ZNVdW6IjxtjUpCqrmdvSV+kgxZ+lfT9hPPzJ9TQ3a+BA/GmacRBEFWJngCH2NDdtHBaaWmp532wVfUDVR0KZAGzQ61ZuHAh55xzTmXjp1QXajzKQQcdRGFhIf/617/Izs5GxL6djMMSKJNU3JkVz+DczX0Sp0PQZuAO4FhVfcPH8IwxCRJDlz5fSvqChu4Gn7Msw0mcEt1KfBVVm0ZEKzB0t3H8QzIeadW0adPBfj25qs5W1SycUtv/hVpTUlLC8OHDaxstktSqj0dp164dBQUFzJ49mzFjxpCZaf1ZTFWWQJmk5M6Q+o2qtlHVtqo6wYbgGpP+gkr6ZkZYFijpm+llSZ87dHclztDdLThNIzon+Gk345yxquufMzB0t2X8QjJe8rqMLxRVnQX0Bs7H2XWtIobh9knlww8/rNxF+/zzz9l3330pKCjggw8+IC8vjyZNmvgdoklSlkAZY4xJKm5J3xk4c2oiNXAYilPS5+mhBHfo7pc4u2GJtIPITSOi1QRnJ8qG7qYgVT3L7xigskJkGtATyMX5t1lF8PmhG2+8kQ0bNngeZzQ+/vhjLrnkEkaNGsX8+fNp0aIFeXl5zJ8/n7y8PJo3T3RFrkl1lkAZY4xJOm5J3504SVKk8QQHAf/xoaRPgaXUb+huJLtxzj3V1jQiWpnY0N1U1WXdunXH+B1EgFsh8jDQHecmR42zgTt27OCxxx6rbMTw448/eh5nKMuXLyc3N5cRI0bwzjvv0LhxY8aMGcOcOXMoKChgn32sgaWJjiVQxhhjkpaq/gdn8G40JX2vikg7L+KCKkN3E3GbPZamEbHoKEJ3EXv9TyUVFRW+l/FVp6rbqg3j3VF9TfUZSlHMdkyINWvWkJ+fz6mnnsqMGTMQEbKzs3nvvfcoLCykQwdrWmliYz9AjTHGJLUYSvpGAh97WdLnDt39Gmfobryswjm7lKjb4W2BXiIJbbtu4khEsv2OIRxV3eQO4+2Kk0jVyJI2bdrExIkTGTRoEM888wx79tQ2Wi0+As87cOBAnnnmGXbv3k1WVhZvv/02RUVFdO3a1ZM4TPqxBMoYY0zSS4GSvrXAF9Q+dLc2gaYRB9Y7qMi2A21FaJ3g5zFxoKonfffdd0m9TaKq37mJ1JHAw4T4Xli9enWVnSDVGvN642Lbtm01dr5OPPFEXnnlFYqLi+nVq1dCntc0HJZAGWOMSRlBJX1vR1gWXNLX1ou4IKqhu7X5ifg0jajNVmA9zo5BDxu6mxIyKioqhvsdRDRU9VtVzcX5Pp0Was2XX35Jbm4uI0eOZPbskGOm6iTQxKJ///6VZ6969+7NCy+8wCuvvMKJJ54Yt+cyDZslUMYYY1KKW9I3nOQs6fsJWAx8H+On7sFpDx2vphHhlOOUG3bHGbhrQ3dThKombRlfKKr6uaqeD/QH/h1qzUcffcT555/PqFGjWLBgQZ2fK5A4nXTSSeTn57NhwwYOP/xwioqKeO211xg0yNPZ26YBsATKGGNMygkq6RtG5JK+g/G4pE+V3cCyWuKq7msS0zQimLrPcwjUGK5rQ3eT3+nLly9P5L+PhFDV+ap6Ks736qJQaz788EPOPvtscnJyWLx4cSzXZsaMGQwZMoT8/HzWrl1L586dKSws5N133yU7OxsRuy9g4s8SKGOMMSlLVf+NM3g3mpK+V7wq6as2dLe2IeCJbhoR8C1OA4lwQ3Vb4zSXsCE4yalVy5YtB/sdRF25w3j74gzjXRZqTUlJCaeddhq5ubmUlpZGvF5JSQnDhw8nNzeXb775hrZt21JQUMDs2bMZM2YMmZnWI8UkjiVQxhhjUpqqfgecCdxC5JK+bJySvgGeBEbl0N2lOKVzoXjVNGIDTrne/rWsa4qTRNnQ3SQkIknXzjwW7s5xYBjv+Tjt+quoqKhgxowZDB48mPz8fNatW1fl44sWLWL06NHk5OTw6aef0qpVK/Ly8pg3bx55eXk0bZpym3QmBVkCZYwxJuWp6h5VvZnoSvre87ikbytOc4nqQ3e9bBqxAegS5frA0N1OiQvJ1IWqnuV3DPGgqhVuItULuIYQs9QC55oGDRrEnXfeyYIFCxgzZgzZ2dnMnTuX5s2bc9lllzFv3jwKCgpo3doaShrvWAJljDEmbQSV9L0TYZkfJX3Vh+7uxtumEd0g5iYRB9nQ3aRzyLp16472O4h4UdWfVPVenH+ftwA/Vl+zbds2Jk+ezNlnn827775L48aNGTNmDHPnzuXWW2+lXTvPZmfXS3l5uW+DhE382Q9FY4wxacUt6TsD5w1ZpPNHnpb0BQ3dXYVTuuRn04hoBYbuWl1UkqioqEjpMr5QVPUHdwf5UJxhvDvCrf3zn/9MYWEhHTqkRvf9HTt28MADD3DcccfRs2dPSkpK/A7JxIElUMYYY9JOUEnfUJwyuXACJX3Xi0ftulRZg3PuKVwzh3iprWlEtFoAR4kkvMmFiU5KtTOPhapuDBrG+xjOTm0VZWWxNLf0T3l5OU8++SQDBgzg9ttvZ8uWLfz000+8/XakfjcmVVgCZYwxJm25JX3HUXtJ3yS8LenbTv2G7tYm2qYR0WoEHCkSt+uZuuu3bt26A/wOIpFUdaWqXgYcjXOzIfhj/gQVpYqKCl588UVOPvlkJkyYUKMJRrLHb6JjCZQxxpi0FkNJ31nARyLS35u4Kofu/hDnS28DNhJ904hoCXCoCIfY0F1fZajqcL+D8IKqfkGIc1HJaubMmQwdOpQrr7ySb7/9FgARoUuXeH8rGr9ZAmWMMSbtVevSF6mkrwvwvlclfe7Q3S+IbehuJOU4pXuHEXvTiGjth7MjZXyiqmlbxpeKPvzwQ8455xx+85vfsHTp0srHs7KyeOONN8jLy/MxOpMIlkAZY4xpMFT1XZwufbMiLAsu6Uv4PKSgobvf4DR+qPOlqH/TiGie4yvVsHOtjDeGL1++3Bp7+GzJkiXk5uYyatQo5s+fX/l47969eeGFFyguLua4447zMUKTKHYHyRhjTIOiqutEZDhwo/tfuJuJZ+F06btAVeclPi7Wi7ADOJy6JUDxahoRSalq6pRUpbFWLVq0yCLyjQCTIMuXL+euu+7itddeq3Km6fDDD+faa69l5MiReNSTxvjEEihjjDENjqruAW4WkfeBZ4EDwywNlPT9CSjUBJ8AV2WrCJ8DR+B0v4vWeuLbNCKU71RZn8DrmxiISDaWQHlqzZo1/PWvf+X5559n9+69DQI7d+7M2LFj+eUvf0lmZqaPERqvWAJljDGmwVLVd0XkBOA5ICvMskBJX38R+Y2qbk5sTOwSYTHOTJxopoQGmkYcmcCwtuLscJnkkQ2M9TuIhmDz5s08+OCDPProo1WG4bZr147f/e53XH755TRp0sTHCI3XLIEyxhjToKnqahE5hdpL+kbhlPTlqOr8MGviFBMVwFcibMeZVRVOOVCKs2OVqJqhcmC5ar3OZ5n4O3Tt2rW9DjzwwMV+B5Kutm3bxpNPPsn999/PDz/sbZbZqlUrLrnkEsaOHUurVq18jND4xRIoY4wxDV5QSV8JTklfhzBLAyV9N+JNSV+Zey6qG1C9NijQNKIriW0asVyVXQm6vqmHioqKbJxW+CaOysvLKS4u5q677mL9+r1Vq82bN+e3v/0tf/jDH2jTpo2PERq/WQJljDHGuFT1X0ElfYPCLGuMtyV9W9ySviOA4M5r1jSigRORkcCdfseRLnbv3s3LL7/M3XffzcqVKysfb9y4MTk5OVxzzTV06BDu3oppSKyNuTHGGBNEVVcBp1D74N1ROIN3+yU+JnYAn7N36O4GrGmEgf5lZWXt/Q4i1akqr7zyCoMHD2bs2LGVyVNGRgajR4+mpKSEwsJCS55MJUugjDHGmGpUdbc7ePc0YF2EpYcA/xGRhB/mDxq6uxIngeqSwKezphGpIRM4w+8gUt0tt9zC73//e7755pvKx04//XRmzZrFlClT6NIlkd9qJhVZAmWMMcaEoar/Ak4AZkdY1hT4q4i8nOjBu+7Q3TIgkS2/dgFfWtOI1KCqI/2OIdV9+OGHlb/u378/M2bM4IknnqBHjx4+RmWSmSVQxhhjTAQxlPT9Aqek76TEx8QGYClOh7y4XhqnaUS8r2sSRESGL1682Hpox8mtt95Knz59/A7DJDlLoIwxxphaBJX0nU7tJX3veVTS9yPOuahtcbxsqSpb43g9k3j7tGnTJtwMM2NMAlgCZYwxxkRJVWfhlPTNibAsuKRv38TGwy5gCc4g3fqyphEpKiMjw8r4jPGQJVDGGGNMDNySviFEV9L3caJL+lSpUOUrnOYSdWVNI1LbWX4HYExDYgmUMcYYE6Ogkr5RRN798bKkrwxYBuyJ8VPLcc49WdOI1HVYWVlZT7+DMKahsATKGGOMqSNVfQ04nuhK+l7yoKRvC05J385oPwWn496uxEVlvKCq2X7HYExDYQmUMcYYUw8xlPSdjdOl78TExsN2qg7djcSaRqQJEbFzUMZ4xBIoY4wxpp6qlfRtirC0K/B+okv6gobulkVYZk0j0suAsrKy9n4HYUxDYAmUMcYYEyfJVNLnDt1dCZRCjfNN1jQi/WQCw/0OwpiGwBIoY4wxJo5UdSXRl/R9ICLHJzYevqPq0F1rGpGmrIzPGG9YAmWMMcbEWVBJ3y+IXNJ3ODDPg5K+wNDdrTjJkzWNSEOqOnzx4sVN/I7DmHRnCZQxxhiTIKo6A6ekb26EZc1wSvqmJ7ikb5cqi91kyqSnNu3atRvkdxDGpDtLoIwxxpgEckv6BlN7Sd85wIJEl/SZ9FZRUWFlfMYkmCVQxhhjTILFUNJ3BB6U9Jm0dpbfARiT7iyBMsYYYzxSh5K+Nt5EZtJIt7Kysh5+B2FMOrMEyhhjjPFQUEnfndRsLx7sHJwufcd5EphJGyKS7XcMxqQzS6CMMcYYj7klfeOJrqRvvpX0mVioqp2DMiaBLIEyxhhjfKKq/wR6A/MiLAuU9L1oJX0mSgNXr17dzu8gjElXlkAZY4wxPlLVFcDJ1F7Sdy5W0meik5mRkTHc7yCMSVeWQBljjDE+q1bStznCUivpM1ERESvjMyZBLIEyxhhjkoRb0nc80ZX0PS0irbyJzKQaVT0DaOx3HMakI0ugjDHGmCQSQ0nfGGChiBzrSWAm1bRZu3btIL+DMCYdWQJljDHGJJmgkr6ziVzSdySwwEr6TCjWjc+YxLAEyhhjjElSqvoqTknf/AjLrKTPhDPK7wCMSUeWQBljjDFJzEr6TD10W7NmzZF+B2FMurEEyhhjjElyqlpuJX2mLjIyMqyMz5g4swTKGGOMSRFuSV9voivpe0pEWnoTmUlWqprtdwzGpBtLoIwxxpgUoqrfAkOAKbUsvRinpO+YhAdlktmg1atXt/M7CGPSiSVQxhhjTIpR1Z2qOpbaS/p6AB9YSV+Dlikip/kdhDHpxBIoY4wxJkWp6is4JX0LIiyzkr4GTkSsjM+YOLIEyhhjjElhbknfYKykz4R3JtDY7yCMSReWQBljjDEprlpJ35YIS3vgdOm73JvITJJos3bt2oF+B2FMurAEyhhjjEkTbknf8UQu6WsOPGwlfQ2Lqlo7c2PixBIoY4wxJo1YSZ8JRURG+R2DMenCEihjjDEmzQSV9J2DlfQZQFW7r169+gi/4zAmHVgCZYwxxqQpVX0Zp0vfBxGWWUlfA5GRkWFlfMbEgSVQxhhjTBpT1VLgZKIv6Ts64UEZv1g7c2PiwBIoY4wxJs3FWNL3gYhc5k1kxmODVqxYsZ/fQRiT6iyBMsYYYxoIt6TvRODjCMuaA49YSV9aatSoUaPT/Q7CmFRnCZQxxhjTgKjql0B/oivp+9BK+tKLiFgZnzH1ZAmUMcYY08Co6k9uSd+5RC7p64mV9KWbM4BGfgdhTCqzBMoYY4xpoFT1JeAkoi/pa+FNZCaB9isrKxvgdxDGpDJLoIwxxpgGTFWXEX1J30IROSrxUZlEUlUr4zOmHiyBMsYYYxq4aiV930dY2hOYLyIXeROZSQQRsXlQxtSDJVDGGGOMASpL+k4EPomwrBXwjJX0pbQeq1atOtzvIIxJVZZAGWOMMaaSW9LXj+i79FlJXwrKzMy0XShj6sgSKGOMMcZUEVTSN5rIJX29cEr6LvQmMhMvqmoJlDF1ZAmUMcYYY0JS1elEV9L3rJX0pRYRySotLd3X7ziMSUWWQBljjDEmLCvpS1uNmzRpcrrfQRiTiiyBMsYYY0xEQSV9FwNbIyztBcwTkV/G43lFJEdEtovIpfG4nqnKuvEZUzeWQBljjDEmKqr6DHAC8L8Iy1oD/4hTSd9wnEG+94nIIfW8lqnpTKCR30EYk2osgTLGGGNM1FT1C+Akoi/p61WPp+vs/r818JiISD2uZWpqW1ZW1t/vIIxJNZZAGWOMMSYmMZb0za9HSV+noF//3H0+E0dWxmdM7CyBMsYYY0ydJLKkz91t6lzt4XtF5IDYIzXhqGq23zEYk2osgTLGGGNMncVY0jdbRLpHeemeQPU22+2ieB4Tm56rVq063O8gjEkllkAZY4wxpl6CSvp+BWyLsLQ38F8RuSCKyw4N83iOiPwi1hhNeJmZmSP8jsGYVGIJlDHGGGPiQlWfxinp+zTCstbAc25JX/MI634e4WMPish+dYnR1GTnoIyJjSVQxhhjjIkbVV0KnEh0JX1zQpX0uclRpASqIzCpzkGaKlT15NLS0urlksaYMCyBMsYYY0xcBZX0XULdSvouB1rW8jSXi0i4Mj8Tm8bNmjU7ze8gjEkVlkAZY4wxJiFU9SliLOkTkUZAXhSXF+BhEakt0TJRUFUr4zMmSpZAGWOMMSZh3JK+k4BHall6MTAbuBroEuXlDwVuqnt0JsgIoJHfQRiTCiyBMsYYY0xCqeoOVb2C2kv6fkbsZ5vGicgJdQ7OBLQtKyvr53cQxqQCS6CMMcYY44koS/okxss2Ah4TkcZ1DswA1o0vEVSVb7/91u8wTJxZAmWMMcYYz8RQ0heLY4H8OF6vQVLVbL9jSCf//ve/GT58OA8++GDlY82aNfMxIhMvlkAZY4wxxlMxlPTF4kYR6RGnazVUvVatWlWjrbyJzcKFCzn33HO56KKL+PTTvZut/fv357LLLvMxMhMvdljQGGOMMb5Q1adEZD0wA8is5+WaAo+KyMmqWlH/6BqmzMzMEcBkv+NIRcuWLeOee+7htddeQ1UrH+/Rowfjxo0jO9s2+NKFJVDGGGOM8YWI9AMep/7JU8BA4PfAA3G6XkM0EkugYrJq1SqmTJnCc889x549eyofP/jgg/njH//IhRdeSEaGFX2lE0ugjDHGGOM5EbkY5xxU0zhf+nYR+aeqrojzdRuKwaWlpft27dp1i9+BJLuNGzfyt7/9jUceeYRdu3ZVPt6xY0fGjRvHBRdcQKNG9lY7HdnfqjHGGGM8IyJtgDuB3AQ9RWugCDgjQddPd42bNWs2DJjmdyDJasuWLTz22GMUFRWxdevWysf3228/fv/733PppZdas4g0ZwmUMcYYYxJORBoBvwFuBjol+OmGi8jFqvp0gp8nLanqSCyBqmH79u088cQT3H///fzwww+Vj7do0YLf/OY3/PGPf2SfffbxMULjFUugjDHGGJMwIrI/cDHwR6Crh099n4jMVNXvPHzOdDEC51zantoWNgTl5eUUFxdzzz33sG7dusrHGzduTE5ODtdddx3777+/jxEar1kCZYwxxpi4E5FWwDM4b8b9eL/RDpgCXODDc6e6dmvWrOnXqVOnOX4H4qeKigpef/117rjjDkpLSysfz8jIYMSIERQUFNClSxf/AjS+sQTKGGOMMYnQExjlcww5IvIPVf2nz3GkHBEZCTTYBKqkpIRbbrmFxYsXVz4mIgwdOpTx48fTs2dPH6OLnw0bNvDII4/www8/cO2119KuXTu/Q0oJlkAZY4wxJu5U9UMROQ84DzgdaONTKA+KyHuq+r1Pz5+qsoEb/A7Ca3PmzCE/P5+PPvqoyuOnnHIK48eP55hjjvEpsvj64YcfKCoq4uGHH2bbNmeWdcuWLfnTn/7kc2SpwRIoY4wxxiSEqr4IvCgimUB/nBlDZ+HsTnmlM1BI4rr+paujvvvuu24HHHDAV34H4qWbb765yu/79OnD9ddfz6BBg/wJKM5++uknnnjiCR544AE2b95c5WM//vijT1GlHkugjDHGGJNQqroHmO3+N15EDsPZ4RgJDAYaJziEy0VkmqrOSvDzpJXdu3efCdzvdxx+6NmzJ+PHj2fYsGF+hxIX5eXlvPLKK9x9992sXLnS73BSno1FNsYYY4ynVPVrVZ2sqsOAA4HzgaeBRA1vFeBhEWmZoOunJRHJ9jsGL+y7776Vv+7atStTp07lnXfeSYvkqaKigldeeYUhQ4YwduzYyuQpIyOD0aNHM27cOJ8jTE22A2WMMcYY36jqJpyZQ9OqlfqNAnrE8akOBW4C8uN4zXQ3eMOGDa3bt2+f1rVdEydO5LHHHqNXr16MHj2axo0TvSHqjZKSEv7yl7/w6aefVnk8KyuLP//5zxx11FEUFxf7FF1qswTKGGOMMUnBg1K/q0XkBVVdWM/rNBRNysvLTwOm+x1IInXt2pXbbrvN7zDiZtGiRdxxxx3MnTu3yuN9+/blhhtuoF+/fj5Flj4sgTLGGGNMUlLVr4HJwGQRaQecipNQnUXduvplAo+JyAmqWh6/SNNaNmmeQKWLL774gnvvvZcZM2ZUebxnz55cddVVZGc3iIpMT1gCZYwxxpikp6obiU+p37E4ZXwT4x5kejoTJ/Hc43cgJrSVK1dy//3389xzz7Fnz96/pu7du3PdddcxcuRIRMTHCNOPJVDGGGOMSSlxKPW7UUReVtXFtawzsP+aNWtO6tSp09zalxovlZWVcd999/H888+ze/fuysc7derEVVddxQUXXECjRvZWPxHsq2qMMcaYlFat1K89zq5JNnAasE+IT2mK05XvZFWt8C7S1CQiIwFLoJLEpk2beOCBB3jiiSfYuXNn5ePt27fnyiuv5Fe/+hVNmjTxMcL0ZwmUMcYYY9KGqm4AngKeEpEmODtSgd2pQ4OWDgRygOc8DzL1ZAMT/A6iodu6dSsPP/wwRUVFVYbe7rPPPuTm5nLFFVfQsmX0nfoXLlzIU089lYhQ054lUMYYY4xJS6q6C3jH/e9KETkaJ5HKBnoBZT6Gl0qOXrdu3aEdOnT4xu9AGqJdu3bx97//nSlTprBx48bKx5s1a8Zvf/tb8vLy2G+//aK+3pIlS5g0aRLvvPNOlcd79uwZt5jTnSVQxhhjjGkQVPUz4DNgkt+xpJo9e/aMAB7wO46GZPfu3bz44ovcc889rF69uvLxxo0bc8EFFzBu3DgOPPDAqK9XWlrKXXfdxauvvkpFxd7K1W7dupGfn29d+mJgCZQxxhhjjIlIRLKxBMoTqsqsWbOYNGkSS5YsqXxcRBg5ciTjx4/n0EMPjXCFqjZu3Mjf/vY3HnnkEXbt2lX5eMeOHRk3bpw1m6gD+2oZY4wxxpjaDPn/9u49LMoyfwP4/YJ4TjMPgGKamqmth/KYOtUmdDBo2zRprU1b9ZrEFTRgZLDSMg4eEEHHMkXLrLSTuwtu15V2/XZ3PCtqqSGaR0BQUFEBTXC+vz+AyWEGeAeGGZD789f2+PC8X9x/vK+Z937y8vLu6dChw/Xqt1JNGY1GREdH46effrJY12g0ePvtt9G/f3/VZ+Xn58NgMGDt2rW4ceOGeb1du3YICgrClClT0Lx5c4fN3pgwQBERERFRdZoWFxf7AfjO1YPcjQ4cOIDY2Fhs377dYn3w4MHQ6/UYOXKk6rOKioqwbt06LF++HNeuXTOvt2rVCpMnT8bMmTPRpo2tckpSiwGKiIiIiKolIgFggHKo48ePIy4uDikpKRAR83qfPn0we/Zsu95LKi4uxqZNmxAXF4cLFy6Y1z08PBAYGIjw8HB07NjRofM3VgxQRERERFQtRVGeB+AGgHdn1VJmZiYSExPx5Zdf4vbt2+b1rl27YubMmZg4cSLc3NxUnWUymbBlyxbExMTgzJkz5nU3Nzc8//zzmDt3Lu6//35H/wqNGgMUEREREanR8cKFC8M8PT13u3qQhsrRhQ5GoxHvvfcefvnlF/NaednEnDlz0KNHD4fOT6UYoIiIiIhIFZPJFACAAcpO+fn5SEpKwqpVq1BQUGBer2mhw969exETE4M9e/ZYrGs0GsydOxcDBgxQfVZxcTFu377NQgk7MEARERERkSqKovgDmOvqORqKGzduYO3atVaFDi1btsQbb7xhd6HDwYMHERMTY7NsIiIiAqNGjbJrtqSkJKxcuRJFRUVISkrCmDFjVP98Y8YARURERESqiMiAnJyc7l5eXmdcPUt9Vl2hQ1hYGDp16qT6vBMnTmDJkiVWZRO9e/dGaGgo/P39oSiK6tk+//xzJCQkWMy2detWBiiVGKCIiIiIyB7PAzC4eoj6qLpCh8jISHTr1k31eVlZWUhISLAqm/Dx8UFwcDD+8pe/wN3dXfVsmzdvxpIlS3D27FmrP78zmFHVGKCIiIiISDUR8QcDlJXKCh18fX0RERGBvn37qj7r8uXL+PDDD7FmzRr89ttv5vX27dvjzTffxLRp09C0aVPV5/3www+IjY3FsWPHLGbr1q2bRdAjdRigiIiIiMgef8zLy7unQ4cO1109SH1QVaFDZGQkBg4cqPqsgoICfPrpp0hMTMT167//9d57mJMxfQAAHcJJREFU772YMWOG3WUT+/btQ0xMDHbvtuz90Gg00Ov1SE9Px+zZs1WfR6UYoIiIiIjIHs2Ki4t9AWx29SCudOjQIcTHx2Pr1q0W648++igiIiIwevRo1WfduHEDn3/+ORITE5GXl2der2nZRFpaGpYtW4bk5GSL9UceeQR6vd48W3p6uuoz6XcMUERERERkl7I2vkYZoH799VcsXrzYYYUOVZVNhIaGwtPTs9azPfjggwgLC7NrNqocAxQRERER2aXsPSg3ACZXz+Is58+fx7Jly7Bx40aUlJSY12ta6FBV2YRer0f37t1rPVuXLl0QEhJi12xUPQYoIiIiIrJXpwsXLgz19PTcU/3Whs3RhQ5GoxELFizAkSNHLNY1Gg3mzZuHfv36qT7rypUrWLlypdVs9913H6ZPn273bKQOAxQRERER2c1kMvkDuGsDVGFhIT755BObhQ5TpkyBVqtF69atVZ+3f/9+xMTEYNeuXRbrQ4cOxdy5czFs2DC7Z6t4QW/r1q0xadIkBAcH45577lF9HtmHAYqIiIiIaiIAwDuuHsLRXFXooMbNmzexbt06rFixAleuXDGvt2jRAlOmTMGMGTPQtm1b1efdGb5IPQYoIiIiIqqJgTk5Od29vLzOuHoQR3B0ocPJkyeRkJCA7777DibT76+K1aTQoXy2pUuXIicnx2K2V199FSEhIXbNdurUKSxatMgi1DVpwligFv+miIiIiKimxgJY6eohakNEkJKSgtjYWJw+fdq8XtNCh+zsbMTHxzuk0MFkMiE5ORmLFi2ymu2ll15CaGgounXrZtdsS5cuxaZNmyxm69q1K1577TXV5zR2DFBEREREVCNlbXwNNkA5s9Bh6tSpaNasmV2zffDBBzh8+LDVbO+++y4efvhhu2dLSkrCzZs3az1bY8cARUREREQ19VReXt49HTp0uF791vqjqkKHyMhIDB8+XPVZji50SE1NRUxMDHbu3Gk1m16vx4gRI1SfVVRUhHXr1lnN1qpVK0yePJllEzXEAEVERERENdWsuLh4DIB/uHoQNY4dO4b4+HirQodBgwZBr9dDo9GoPqv8vaTFixcjNzfXvN6iRQtMnDgRISEh6NChg+rz0tPTsXTpUqvZ+vbti1mzZiEgIMDu2ZYsWYKLFy+a18vf59LpdHbNRpYYoIiIiIioNvxRzwOUIwsdSkpKsHnzZsTFxeHcuXPm9ZqWTWRkZGD58uX48ssvcfv2bfN6r169EB4ebtds5Rf0RkdH4+zZs1azvfXWW/Dy8lI9G9nGAEVEREREtREAwA2AqbqNzubIQofysomFCxfi1KlT5vWalk3k5OTAYDBg/fr1KC4uNq937twZs2bNwiuvvKK6GU9EsG3bNsTGxiItLc28rigK/P39ERERgQceeED1bFQ1BigiIiIiqo1OOTk5Q7y8vPa6epA7ff3119DpdBaFDh07dkRISAj++te/wsPDQ/VZP/74I2JjY3H06FGL9aeffhpz5sxB3759VZ+Vn58Pg8FgVejQrl07BAUF1ahsIjo6Gj/99JPFukajwdtvv43+/furPovUYYAiIiIiolopa+OrVwEqPT3dHJ7atGmD6dOnY9q0aWjZsqXqM/bu3YuYmBjs2bPHYn3kyJHQ6/UYPHiw6rOqK3Sw94LeAwcOIDY2Ftu3b7dYHzx4MPR6PUaOHKn6LLIPAxQRERER1VYAgHddPURlwsLCMHXqVNX7f/nlF8TGxmLbtm0W6wMGDIBer8cTTzyh+qzqCh3Cw8PRsWNH1ecdP34ccXFxSElJgYiY1/v06YPZs2fbXTbxzTff4OrVq5g0aRJatGih+mcbMwYoIiIiIqqtQdnZ2d28vb3PVr+1/srMzERiYqJVoUPPnj0RHByMcePGwc3NTdVZlRU6NGnSBC+++CLCw8PRtWvXWs/WtWtXzJw5ExMnTlQ92+3bt/Htt98iLi4OGRkZAICCggKEhYWpnqcxY4AiIiIiolpTFGUsgA9dPUdNlBc6fPbZZ7h165Z53dvbG7Nnz7ar0AEofS9p/vz5Ngsd5syZgx49eqg+69KlS/joo4+wevVqh8323nvv4ZdffrFYv7OKnarGAEVEREREtVb2HlSDClD1udAhPz8fSUlJWLVqFQoKCqxmmzJlCpo3b676vMre5yL7MUARERERkSOMyc3Nbd2xY8eC6re6Vn0udKhstpYtW+KNN96we7aDBw8iJibGarYhQ4agX79+WL9+veqzqBQDFBERERE5QrPi4uIxAP7p6kEq46xCh4ceeghvvfWW3YUOmzZtQlxcHC5cuGA1W1hYGDp16qT6vBMnTmDJkiVWs/Xu3RuhoaHw9/fHV199xQBVAwxQREREROQQiqL4ox4GKBFBcnJypYUOYWFhuP/++1Wfl5WVhYSEhEoLHey5oLe8bCImJgZnzpwxr5df0Dt37lyHzObj44Pg4GC7ZiPbGKCIiIiIyFGeB6AAkOo2OlN0dLTFhbpubm4ICAiATqfDAw88oPqcygodvLy8EBQUhEmTJtl1Qa+tQgdFUeDr64uIiAi7Lui9fPkyPvzwQ6xZs8bid23fvj3efPNNTJs2DU2bNlV9HlWOAYqIiIiIHMU7JydniJeX1z5XD3KnOwPFmDFjEBERgYcfflj1z1+9ehVr1qyxKnS49957MWPGDIcVOmg0GsydOxcDBgxQfVZhYSE++eQTJCYm4vr161az/e1vf+P9Tg7GAEVEREREDmMymfwBuDxAVaz2HjZsGPR6PYYPH676jBs3bmDt2rVYsWIFrl69al6vaaHDoUOHEB8fj61bt1qsP/roo4iIiMDo0aPtmu3zzz9HYmIi8vLyaj0bqccARUREREQOoyhKAIB5rp5jwoQJMBqN8PDwwN///nf4+vqq/llXFDooiqJ6ti+++ALLli2zmu31119HcHCwXUUYZD8GKCIiIiJypEFZWVk+Xbp0yXTlED169MCWLVvs+pnqCh0iIyPRrVs31eedP38ey5Ytc0ihg8lkwj/+8Q8sWbLEYjZ3d3eMGzcOYWFh8PHxUT1bVlYW/v3vf6veT79jgCIiIiIiR1Lc3NyeB7DK1YPYw2g04v3338fRo0ct1jUaDebPn+/SQoetW7ciNjYWaWlp5jVFUfDcc89Bp9Ohd+/eqs+6dOkSEhMT8emnn1oUYXTu3Fn1GY0dAxQREREROVoAGkiA2rdvH6Kjo20WOkRGRmLgwIGqz6qq0GHKlCnQarVo3bq16vN27tyJmJgYpKamWs2m1+sxaNAg1Wddv34dq1atwscff2xRhNGmTRvMmDEDb775puqzGjsGKCIiIiJytKeys7Nbent7F7l6kMrU50KHY8eOIT4+HsnJyRbrjzzyCPR6vV2zlb/PtXjxYuTm5prXW7RogYkTJ2LWrFlo37696vOIAYqIiIiIHK+FiIwBkFztTif79ddfsXjxYocVOlRVNhEaGgpPT0/Vs508eRIJCQn47rvvYDKZzOsPPvggwsLC7JqtpKQEmzdvRlxcHM6dO1fr2eh3DFBERERE5HBlbXz1JkCVFzps3LgRJSUl5vUuXbogJCTE7kKHLVu2IDY2FqdPnzavl5dN6PV6dO/eXfVs2dnZiI+Pd8hsIoKUlBQsXLgQp06dqvVsZI0BioiIiIjqgj8ABYBUt7EuObrQwWg0YsGCBThy5IjFukajwbx589CvXz/VZ125cgUrV660mu2+++7D9OnTMXXqVDRr1syu2T744AMcPnzYarZ3333XrsuDqXIMUERERERUF7yzs7MHe3t773fFwysrdGjbti2mTp1qd6HD/v37ERMTg127dlmsDx06FJGRkXZd0Fs+2/Lly3Ht2jXzeuvWrTFp0iQEBwfjnnvuUX1eamoqYmNjsWPHDov1IUOGIDIyEiNGjFB9FlWPAYqIiIiI6oSI+ANwSYCKj4/HypUrzf/dsmVLTJ06FUFBQXYVOvz888+IjY3Ff/7zH4v1uih0CAkJQYcOHVSfl56ejqVLl1qVTfTt2xezZs1CQECA6rNIPQYoIiIiIqoTZe9BzXf1HH5+fli8eDE6deqk+mdOnjyJRYsWWZVNPPTQQ9DpdHj22WddVuiQkZGB5cuXW13Q27NnT+h0OrvKJsh+DFBEREREVFceycrK8unSpUumK4fQaDSqw1N9LnTIycmBwWDAZ599ZnUJ7qxZs/DKK6+gSRP+876u8W+YiIiIiOqK4ubmNhbAx64epDrlhQ5JSUm4efOmeb0uCh3eeecd/OEPf1B9Vn5+PgwGg9Vs7dq1Q1BQkN2zUe0wQBERERFRnRGRANTjAFVZoUOrVq0wefJklxY6FBUVYd26dZXOZu8FveQYDFBEREREVGcURRmTnZ3d0tvbu8jVs9ypPhc6lM+2ZMkSXLx40bxe/s5UeHg4OnbsqPo8ciwGKCIiIiKqSy3c3NyeApDi6kGA3y/BjYqKqvNCh+DgYIwbNw5ubm52zRYdHY2zZ8+a15s0aYIXX3wR4eHh6Nq1q+rZqG4wQBERERFRnTKZTAFwcYByVqGDt7c3Zs+ebXehg9FoxPz585GWlmZeUxQF/v7+mDNnDnr06KH6LEfJzc3Ftm3bnP7c+o4BioiIiIjqWgCANwFIdRvrwv79+/HVV1/hyJEjFut+fn6IiIhA3759VZ/l6EIHo9GI6Oho/PTTTxbrGo0Gb7/9Nvr376/6LEe5du0aPvzwQ6xevRpFRTa/eVlia7GxYIAiIiIiorrmnZ2d/Yi3t/cBVzz8X//6l8V/jxw5Enq9HoMHD1Z9hqMLHQ4cOIDY2Fhs377dYn3w4MHQ6/UYOXKk6rMc5caNG1i7di0MBgPy8/Mr27ZbRHIr+8PGgAGKiIiIiOpc2aW6LglQ5fr06YPZs2e7tNDh+PHjiIuLs3lB71tvvWXXbI5SXFyML774AsuWLcOFCxcq23YTwEoA7ztvsvqJAYqIiIiI6pyI+AN4z1nP69y5s/l/9+rVC+Hh4fD394eiKKp+vrpCh7CwMNx///2q58nKykJCQoJV2UTXrl0xc+ZMuy7odZTy98JiY2Nx+vTpyraZAHwLYI6IVLqpMWGAIiIiIiJnGJyZmdnFx8cnyxkPmzRpEtq0aYOmTZti7NixLit0uHTpEj766COsXr3aomzCy8sLQUFBmDRpEjw8PFSf5yhGoxELFiywei/sDgLgGwBvi8hx501W/zFAEREREZEzKO7u7mMBrHbGw9zd3TF+/Hi7fsaRhQ5Xr17FmjVrsGrVKhQUFJjX7733XsyYMQNTpkxB8+bN7ZrPEfbv34+YmBjs2rWrqm3bAESISKqTxmpQGKCIiIiIyCkURfGHkwKUPaoqdIiIiMCoUaNUn1VexLBixQpcvXrVvN6yZUu88cYbdpdNOMqxY8cQHx9vddFvBbsBRIrI/zlprAaJAYqIiIiInEJE/LKzs1t6e3vb7MZ2NkcWOpSXTcTFxVkUMZSXTYSFhaFTp04OnV+NkydPIiEhAd999x1MJlNl234BMB/AN3LnXwTZxABFRERERM7SQlGUPwLY4sohHFnoUF42ERMTgzNnzpjXyy/ojYyMRLdu3Rz9K1QrOzsb8fHx2LhxI0pKKr226SyAaABJInK7sk1kiQGKiIiIiJymrI3PJQGqukKH119/HU2bNlV9ntFoxPvvv4+jR49arGs0GsyfP9+uC3od5cqVK1i5cqXVRb8V5AKIA7BMRH5z3nR3BwYoIiIiInIaRVFeABCE0pY3pygoKMCnn36KhIQEhxQ67Nu3D9HR0dizZ4/FukajQWRkJAYOHOiw2dUqLCzEJ598YnXRbwWXASwCsFxE6sXXKBsiBigiIiIichoR6Xz+/PlBnTt3PljXz3J0ocOhQ4cQHx+PrVu3Wqw/+uijiIiIwOjRox02u1rl714tXrwYubm5lW0rBLACQKyI5DtvursTAxQRERFRPfDll1+iX79+GDBggKtHqXNubm4BAOo0QG3btg1hYWG4ePGiea1p06Z4/fXXERISgvbt26s+68SJE1i4cCG+//57i7KJvn37Ys6cOXj66acdOrsa5e9eRUVF4dy5c5VtKwawDsB8Ecl23nR3NwYoIiIiIuezeu9k3759eO655/D8889Dp9OhV69erpjLKcreg3q/Lp+xe/duc3hyd3fHyy+/jNDQUHTp0kX1GZmZmYiLi8M333xjUTbRrVs3hIWF4c9//jPc3NwcPntVRAQpKSlYuHAhTp06Vdk2E4BvAehF5KTzpmscGKCIiIiInExEriqK8g2A8RXWkZKSgu+//75G/+BvQIZkZmZ28fHxyXLGw/R6PYKCglTvz8vLQ0JCAj777DOLsglPT0+EhITg1VdfhYeHR12MWiWj0YioqCj8/PPPVW3bBiBMRH6qahPVnHMjMxERERGVewWAFoBViLh9+zY2btyIUaNGYd68ebh06ZLzp6tbiru7+3POepjaZr3CwkIYDAaMGjUKSUlJ5vDUtm1bhIaGwmg0YvLkyU4PT6mpqXj55ZcRGBhYVXjaAeBxEfFjeKpbDFBERERELiAit0XkYwA9UBqkLlbcc+vWLaxevRrDhw9HVFRUVe1qDZG/qwcoV1xcjA0bNuCxxx5DVFQUrl+/DgBo0aIFZsyYgd27dyM0NBStW7d26lzp6enQarUICAjAjh07Ktu2F4CviIwWEaMTx2u0GKCIiIiIXEhEbpUFqZ4AIgBYpaSioiIYDAaMGDECBoOhqvt9GhK/7Ozslq4coDw4DR8+HDqdDnl5eQAADw8PvPbaa9i5cyfmzp2Ltm3bOnWuzMxM6HQ6+Pr6Ijk5ubJtaQAmABghIj86bzpigCIiIiKqB0SkQEQWojRILQRglZLy8/MRFRWFkSNHYs2aNSguLnb6nA7UUlGUJ13xYBFBcnIynnzySeh0OuTk5AAA3NzcEBAQgP/+979YtGgRPD09nTpXXl4eoqKiMHr0aGzYsMGiuOIO51D6iWV/Efla7qwFJKdggCIiIiKqR0QkT0QiAPQG8DGAkop7cnJy8O6771b3D+16r6yNz6mMRiOeeeYZaLVanD592ryu0Wjwww8/YNWqVejevbtTZyoPxsOGDYPBYLAorrhDHko/oXxIRD4WkYb5f/pdgAGKiIiIqB4SkQwR0QLoD+BrAFafNGRkZKj5qld99gIAxRkPSk1Nxbhx4xAYGIgjR46Y14cOHYrNmzdj06ZN6NevnzNGMVP51czrKP1EsqeILBSRu+L7mw0ZAxQRERFRPSYix0RkAoCBKA1SVu4sG9i5c6dzB6ydLllZWQPr+iErVqxAQEAAdu3aZV4bNGgQNm3ahH/+858YPnx4XY9gofzdq5EjR1ZVDlIEIBFALxGJEJG7qkGkIWOAIiIiImoARORwWZAaDeB/tvakpqZi/PjxCAwMxOHDh507YA25u7sH1PUzyi/UBYDevXtjzZo12LJlCzQaTV0/2oLJZEJycjIef/xx6HQ6i7nuUIzSr24+KCIhImJzE7kOAxQRERFRAyIiO0TkCQB+AA7Z2mM0GvHss89Cq9Xi1KlTzh3QTnX1HpSiWH4z0MfHB/Hx8fjxxx8xduxYqz+va0ajEX5+ftBqtTh79qytLSaUfsLYT0S0InLeqQOSagxQRERERA2QiGwDMBilVda/2vhzc9NccHAwMjIynD6jSkNyc3O9HH3o2LFj0a5dO3h6emLBggXYsWMHAgMD4e7u7uhHVWnv3r148cUXERgYiLS0tMq2bQMwREQmiIjV/5dUvyhsPiQiIiJq2BRF8QDwBoD5ALxt7fHw8EBgYCDCw8PRsWNHZ45XLRGZ2rlz56SK64qi5ALoUP7f06dPxzvvvOPU2Wrq4MGDiImJwfbt26vathOAXkRsfiWT6id+AkVERETUwIlIcdllvL1QWnV9peIelcUFLqEoitPrzOvKiRMnoNVq4e/vX1V4OgxggoiMYnhqeBigiIiIiO4SIlJUdhlvN5QGqesV9xQWFsJgMOCxxx6DwWDAb7/95vQ5bfA7c+ZMc1cPURtZWVnQ6XR46qmnkJycjEq+5ZUOYBKAQSJis1GR6j8GKCIiIqK7jIhcLwtSPVF6h5BVSrpy5QqioqIwatQobNiwASUlVvf1OlOr5s2b/9GVA9TU5cuXERUVVd2lxpkAtAD+ICLrRcTk3CnJkRigiIiIiO5SIpIrIhEAeqO0GtvqX/fnz59X88lJnTOZTA3qa3wFBQVqPsm7hNJPAh8UkY9FxKUplRyDAYqIiIjoLici50REC6A/SquyrVLSr7/+Cq1WC19fXyQnJzt9RkVRAgA4t1u8Bm7cuAGDwYChQ4ciKioK169bfUsSAApQ+slfTxFZKCI3nTsl1SUGKCIiIqJGQkTSyi7jfQzAj7b2pKWlQavV4k9/+hN2797tzPG6ZmVlDXDmA+1RsYTj6tWrtrbdQuknfb1EJEJEbG6iho0BioiIiKiREZE9IuKL0st499vas2/fPrz00ksIDAzE0aNHnTKXm5tbvfsan8lkQnJyMp544gnodDpcuHDB1rYSAJ8B6FN2Ca7NTXR3YIAiIiIiaqREZJuIDEVpkPrZ1h6j0YhnnnkGWq0WZ86cqeuRAur6AfZQ8bsLSr8S+bCIvC4ip506ILkEAxQRERFRIyci2wA8AmACgFMV/1zlpzCOMDQ3N9errg5Xa//+/Wo+fdsGYIiITBCR404cj1yMAYqIiIiIICKmsruJ+qK0cjun4h6V7wHVhltxcfFzjj5UrfL3v1544YWq3v/aDeApEfETkQNOHI/qCQYoIiIiIjITkVsi8jGAXiit4M6vuEdlE12NlLXxOZXKBsKjACaIyGMi8n9OHI/qGQYoIiIiIrIiIoUVLuO9UXFPxbuQbt265YhHP33mzJnmjjioOirvwDqL0k/kBpZ9QkeNHAMUEREREVVKRC6XXcb7IIBEAFY3xl6+fBlRUVEYNWoUNmzYgNu3re7rtUerZs2aPVGbA6pz5coVi3lLSmzeb5sFYBaAh8ouwa3VL0V3DwYoIiIiIqqWiGSJSAiAPii968gqUGRlZan5REfNs+rka3yFhYUWn5j99ptVFgSAyyj96uKDIpIgIjY3UePFAEVEREREqonIGRHRAhiI0gpvKydOnIBWq4W/vz+2b99u9zPK3oNSajfp7yqWX1y7ds3WtkKUflWxp4gsFBGrrywSAQxQRERERFQDInJURCYAeAyAzVKFgwcPYsKECQgMDMShQ4fsOf7+zMzM/rWdsaSkBF9//TVGjx4NnU6H3NxcW9tuofQTtV4iEiEiVqUZRHdigCIiIiKiGhOR3SLyFEov47VZ6200GjF27FgEBgYiLS1N1bnu7u7+tZgJycnJePLJJxESEoKMjAxb20wo/QStr4hoRcSqtp3IFgYoIiIiIqq1sst4h6D0Ml6bF8sajUb4+flBq9Xi7Nmz1Z1Xo/egjEYjnn32WWi1Wpw6ZXUncLltAB4puwS30k1EtjBAEREREZFDSKmvATwMYBKA0xX3mEwmJCcn4/HHH4dOp8PFixdtnqUoyjBPT0/V/1ZNTU3F+PHjERgYiMOHD1e2bRuAoWWX4P6s9myiOzFAEREREZFDiUiJiKxHaWOfFsCFintUFDu4+fr6Nq3uWenp6dBqtQgICMDOnTsr27YXgG9ZcNpv329DZIkBioiIiIjqhIjcEpGPAfRCaTX41Yp7ioqKYDAYMGLECBgMBty8edP8Z35+fpUGqIyMDOh0Ovj6+iI5ObmybWko/UrhCBH5sTa/C1E5pab9/ERERERE9lAUpT2AcAAhAJrb2tOhQwdotVpMmzYNJSUl0q9fP+XWrVsAgOnTp2PatGkwGAxYv349iouLK3vUOQBRAJJ4AS45GgMUERERETmVoig+AN4B8DcATWzt8fHxQXBwMFJSUvC///0PANC9e3fk5ORYfEpVQTZKg9NqEbnl+MmJGKCIiIiIyEUURXkIwAIA41HJxbmdOnWqtGjiDtcBrAQQJSLXHTokUQUMUERERETkUoqiDAYQDeBpO3+0EEAigMUicsXhgxHZwABFRERERPWCoihPojRIPVbN1lsAVgP4gBfgkrMxQBERERFRvaIoygsAPgDQv8IfCYANAOaJiNUdU0TOwABFRERERPWOoihuAOYCiERpY18GgD+LSKpLB6NG7/8Bnwl3P/EFHr0AAAAASUVORK5CYII="
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "e96eda2d",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:fig-asp-efficiency-comm-2.png\" align=\"left\" width=\"300\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "6993b9d0",
|
||
"metadata": {},
|
||
"source": [
|
||
"The communication over computation cost is\n",
|
||
"\n",
|
||
"- On the send side: $O(NP)/O(N^2/P) = O(P^2/N)$\n",
|
||
"- On the receive side $O(N)/O(N^2/P) = O(P/N)$\n",
|
||
"\n",
|
||
"\n",
|
||
"In summary, the send/computation ratio is $O(P^2/N)$ and the receive/computation ratio is $O(P/N)$. The algorithm is potentially scalable if $P^2<<N$."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "494aa965",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Parallel Implementation\n",
|
||
"\n",
|
||
"Now, we will explore the parallel implementation of Floyd's algorithm. We will use MPI."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "91a1cbd8",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"] add MPI"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "6bc0122b",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"using MPI"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "680e56cf",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Code\n",
|
||
"\n",
|
||
"We split the code into two functions. The first function is called on the main process (the process running this notebook). It splits the input matrix into blocks of rows. Then, we use a remotecall to compute Floyd's algorithm in each worker with its corresponding block of rows.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "22234b2f",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"function floyd_dist!(C)\n",
|
||
" m = size(C,1)\n",
|
||
" @assert mod(m,nworkers()) == 0\n",
|
||
" nrows_w = div(m,nworkers())\n",
|
||
" @sync for (i,w) in enumerate(workers())\n",
|
||
" rows_w = (1:nrows_w) .+ (i-1)*nrows_w\n",
|
||
" Cw = C[rows_w,:]\n",
|
||
" @async C[rows_w,:] = remotecall_fetch(floyd_worker!,w,Cw,rows_w)\n",
|
||
" end\n",
|
||
" C\n",
|
||
"end"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "9fc3be11",
|
||
"metadata": {},
|
||
"source": [
|
||
"The second function is the one that runs on the workers. Note that we use MPI for communication in this case."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "d5a8d3a8",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"@everywhere function floyd_worker!(Cw,rows_w)\n",
|
||
" comm = MPI.Comm_dup(MPI.COMM_WORLD)\n",
|
||
" rank = MPI.Comm_rank(comm)\n",
|
||
" nranks = MPI.Comm_size(comm)\n",
|
||
" m,n = size(Cw)\n",
|
||
" C_k = similar(Cw,n)\n",
|
||
" for k in 1:n\n",
|
||
" if k in rows_w\n",
|
||
" # Send row k to other workers if I have it\n",
|
||
" myk = (k-first(rows_w))+1\n",
|
||
" C_k .= view(Cw,myk,:)\n",
|
||
" for proc in 0:(nranks-1)\n",
|
||
" if rank == proc\n",
|
||
" continue\n",
|
||
" end\n",
|
||
" MPI.Send(C_k,comm;dest=proc,tag=0)\n",
|
||
" end\n",
|
||
" else\n",
|
||
" # Wait until row k is received\n",
|
||
" MPI.Recv!(C_k,comm,source=MPI.ANY_SOURCE,tag=0)\n",
|
||
" end\n",
|
||
" for j in 1:n\n",
|
||
" for i in 1:m\n",
|
||
" @inbounds Cw[i,j] = min(Cw[i,j],Cw[i,k]+C_k[j])\n",
|
||
" end\n",
|
||
" end\n",
|
||
" end\n",
|
||
" Cw\n",
|
||
"end"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "bc81a83d",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div class=\"alert alert-block alert-success\">\n",
|
||
"<b>Question:</b> Which of the following statements is true?\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "4ec6718c",
|
||
"metadata": {},
|
||
"source": [
|
||
" a) The processes are synchronized in each iteration due to the blocking send and receive of row k.\n",
|
||
" b) Receiving processes may overwrite the data in row k, which can lead to incorrect behavior.\n",
|
||
" c) The sending process can only continue the computation after the data are received in every other process.\n",
|
||
" d) The receiving process does not know the source of the received data."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "4f4a57de",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"answer = \"x\" # replace x with a, b, c or d\n",
|
||
"floyd_impl_check(answer)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "c624722a",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Testing the implementation"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "09937668",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"function rand_distance_table(n)\n",
|
||
" threshold = 0.4\n",
|
||
" mincost = 3\n",
|
||
" maxcost = 10\n",
|
||
" infinity = 10000*maxcost\n",
|
||
" C = fill(infinity,n,n)\n",
|
||
" for j in 1:n\n",
|
||
" for i in 1:n\n",
|
||
" if rand() > threshold\n",
|
||
" C[i,j] = rand(mincost:maxcost)\n",
|
||
" end\n",
|
||
" end\n",
|
||
" C[j,j] = 0\n",
|
||
" end\n",
|
||
" C\n",
|
||
"end"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "dd77ee3d",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"using Test\n",
|
||
"load = 10\n",
|
||
"n = nworkers()*load\n",
|
||
"C = rand_distance_table(n)\n",
|
||
"C_seq = floyd!(copy(C))\n",
|
||
"C_par = floyd_dist!(copy(C))\n",
|
||
"@test C_seq == C_par"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "91a772df",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Is this implementation correct?\n",
|
||
"\n",
|
||
"Point-to-point messages are *non-overtaking* (i.e. FIFO order) between the specified sender and receiver according to section 3.5 of the MPI standard 4.0.\n",
|
||
"Unfortunately this is not enough in this case. The messages can still arrive in the wrong order if messages from different processes overtake each other."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "1277772d",
|
||
"metadata": {},
|
||
"source": [
|
||
"If we are lucky all messages will arrive in order and we will process all rows in the right order in all processors."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g33659.png": {
|
||
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IiNSCpGC8Dhu/7msVLouISE1IamNcDXwVuBr8bbAz1G+Qu0+Yhh0TkT4l11npr7vn+7spjYYdE5E+JSkY51DYPWD7yrBjDdjAA9ti9yx9BfgH1RmWX0SqKOnKl9uA2ypekuraGngQG618NTbw6jDgKeDTZL/bn4j0AbrnixmEDUP1I+ys/FrgAOy68ZuAPWLrz8CaHMBuAr4eWIG1w67EatGr3PO12PBW6926YCe3fOwe0Ouwyy1XY7cT0PiXIlWmYDTPEAZd4A/YuH3HYsNYdUReG0nX25KOIPeI0cVYDS397Yh+KLDgTuxKJAhDdTkWukEQd7oyrsFCeh0WvBCOlJ0vxINtRepaI/gnued/B+8l8KcBOxawj1vBS7v1QW82EAugeDvq7W5K0uy2y/eYZ91DT4E1Ayzv/jIXOjrd6yPctuNj2wwD+vXkw8YEQRt9nvWxmG2i22pQEqmqRuB69/x/sbunfYrwrHQW95B+T5jeajL2s/g9hd3OM7jDXg+/3D89BhjgZs4C74mMG/YwkDNv0xKbH4JVcUupE0YMsJaOZmDJDdjNX8oVyMHzoGYttWE8hd1orccagW+758ElgP+ILMuiLx56NQO/xGqKZ1W5LIUqUTAXrRRBHNl2xlHAEPtIT70DyzpJDuZBQFOJP0sRNeMDdoTtXZEWTcVGnyo0xIOmDjF/xHqN/AT4KV2btcqiEbxzuy7yHsLuV1mvBmBjUW4D7EX6yELSXYmD+dczsNoowFfBm5Vhox4EceZ148EMMAL+6Nn3GLB26J0K/cQRpawZF7JN0PZcK74K/Ab4LvaPZjZ2VFu2+4Pr5EtX/bF7g3wC+CTWXUd6nyrWmv0roOMsy5i2mbDNhZSneSMpnGuonfmwnewGjADtWwAnFbAP6Pq7ewBow+74uIWb9sSuyLsRuJkSB3nSQLVnYbdNHZ2+qX82cC6wDXhtpSxUlfTDfsD7Ym2Lut+NFKnZTS0rqXwf2KBJock974/VuBsIe1G0uMcgSIP24SBgg20bsW4RHuFJv6AHxmj3+mDsKCsIaOe3bgJgKuG5jEIEbb3LsXuHR41203TgYiw8LwVeK+J9ukmqMTYT/uDSBOslDUTR2wSheBhwCPBwhm0mAu9QgfYOkQKspLonQwcAg+HlM6H/+dazbM5DMONsLJgbsLBtJAzxIFTTQnx/wpORUQ1YwO+K3cSvkBPHOfXkUDoYluy91LV6h32wu8q9D1zrpqhPAG9F5vsBb2K/lE6s2t+OnTlbEJlPWlbRs2siFbbapq0j4bx5O9YuWKxNgY9htdPAUuy79AT2fX2uB/vvxgWjPzR8HrR5+Gm1xinAgVa4PtGH8TWsWSCXZbH5Rrf+WOym7qOwav2W2G1nB6XsqwO7HUQb1vVkiXtc7JYtsenVBtgY++cqUtcuxL4MQRg+DvyAEodhVBCGs4CPxF5bmmH7n5a2OFXzHwrrorQKuCLl9YHY1TEtbtoY64sVn98M+DDWfhK7cmZr99gErP8DdnY8rRYazC9EffCk7xiBHbHdSJnDMCoIxlbCRuLgy5ur0Xi1W/9vwHfKWrreqxP7GWU9bG4CNqJLcF55Myxvtqz77ZMwrz8WplOw9pa0tt12cgdnfL4Nu3xQpBa9i52FrigXjN7h4SL/QuAi8DavdGHq2Cq6BemZN7DhLN/3L0m48qWF5FpofH4KdoOztG4cQZBnCdNF2DXaIn1W0smXW4FHK10QKVgQWFnFgzRXmE4n7IqRS5YgDZa9TXWu4jgV+CBwAdZ+K5JZ0niMc4G5FS+JlFuhQdpM7lpoPEhHkX6ddHDmPkutdB7WXNNT9wCXYB31/wmcg8bVlIx05Yvk0oEFSdYwCfq15gvTbbE+oEl90gKRIJ0xxs5NtQBPfBY7YRUN03kkdxl7E/sHPx3r7vFR4F/Y5WU96ToidUDBKKUSXIbXSrbgyRikb/a3rmrLAD7rprhcfUlHRtbZ2E3TgFexjsD3FvIBpX4oGKVaMgbpK3OBSXZV2G+Pg2NfJuw3Oobw0rBRbn5rrHbYnLg7O/v/EWw4uZeAq7B2dZENyhSM/gRgS/D+kme97a0M3rPlKYf0HUOBz7fCsY9l3GAINpReUlePddjh90pgUkmKJ31Kua5zHgQ8CP4j4O8N/sDIa43g7wb+77A/3EllKoPUt72xGiRYh/cFwLPYOJsHErY7fqMqpZOaVqYao/ca+K8Au2NjG66OvNds7CqPjbCrNP5UnjJIHRuE3disDRs67i7gTnSdumRUzjbG67HL7OLXXI+KPH8AvFJ0zRCJ8rG7PD6DLo+UIpRzyLBfYJfz5LIEuKaM7y/1qwM7MlEoSlHKGIxeO/BKygrvg/dk+d5fRKQ45R5k9rskd75dB9xS5vcWESlKuYPxjySPcP0OcEOZ31tEpChlDkZvLXAf1hge1Qre2+V9bxGR4lTifi3XYjXEQAfdbx0gIlIzKhCM3lPYDcQDK7C+jSIiNalSd/i7hfBw+nnwVqStLCJSTZUKxuuxkZ/fpbB7q4iIVFyFgtGbj12rugp4sDLvKSJSnEoOO3YlMB08XY0gIjWtgsHo3QbcVrn3ExEpTqXaGEVEeg0Fo4hIjIJRRCRGwSgiEqNgFEmm70Yd0y9fJDQJuBuYD6zBrut/Gji6imWSKtDtU0VCI7BAvAKYBwwGjsFur9oI3Fy9okklKRhFQs8Ch8WWzQReBY5FwVg3dCgtkm4Ndn+iAdUuiFSOaowiyRqAjbH2xR1QO2NdUTCKdHclcKZ73gEcD/yqesWRSlMwSl83CBgNjMXuaT7aPY4FrsZGfYq7HrgXGAd8BrgRO6SeWYHySg1QMEpv0wy0uGljYHye+ZaUfd1FcjC+5iawgU/uxW7HcTu6V3VdUDBKtQVBFw81t2zGGFgJtAOv3ol1ocml063YDrQCs2PzCyLzwbJ8fOAfwAyslpkUpNLHKBil1HIFXdL8RNLP9nbCc/3tyHc8sOpx+M+LJAfdfGyE+FLzgN2xexW9k2dd6SMUjJJPM/lDroCg2xBqL2E1saSQa8WCbhW0zcWuSAG4ArxZpfto3XwdGA48DrQBY4DPAXu511aX8b2lhigYy8MDNgXerHZBEmQJumB+FNA/ZV+FBN08aj9YXgLOBU7Fuuusxjp3nwr8sIrlkgpTMJZWf+AE4CzgUay2UW4tZAu5FuyMbNrvvJMw1IL2uaSQWwAsxs7U9iW3u6kfdnlgOzrZUpcUjKUxGPgK8GnssG8ZcEmR+3JB90ij7WYBcO0JwFF0D7ox2Jc4l3bCUJtDetAtAtYWWea+Zh1qT6xrCsaeGYW1Pe0DTCYMqTeA14GBwEiydy8Zy4bLNPeIvs8J7jEedLlCrh1rI1tXsk8qUkcUjMWZBFwH7IIFnxd7fQp2FjNf15Il2CHpW9jwVovdsoVw5zUwbrBl7zt7w2667axIhSgYC3clcDIwJGWddcCfyF2bC2p+fu5dHHpVZGZFTwosiXbELvNbRPgPajFW014SWRbMr6xOMaUaFIyFOx+4DzgJ+CDWvWM0XUcqWgV8HztLK7VpHfAK9rubilXNm1PWX0kYlEHNfkn3+SeGw3ak/9+UWqdgLNwqLBjvc/PjgEOBQ7AuOmOwM5qXEWsolJryDLB/bFna5YbRZZOBaW4+Zlf3OBAYeBSwG+knvYL5hegMeM1QMPbcQqyP2w+xWuMO2KjPe2NfikerVzQpUIebWoEXM6yfcHLtC6fAmD0t655ug7+3u9emYP9E4+3RUdGTa/nCVCfXykjBWFrrsf5/s6tdEKmIoN9n5JrrH+4M7OlmHgTvxMj6TcBGJNdC4/NTsBpt2mDShQSpumMVQMEoUjmr6BakeWXtwD8F2I/0fq3RDvz5wrQWgvR04CHg+Uq/sYJRpLYFgZVVPEhzhel0CrsSKt8oRW9T+iuhRgF/BV4ALsJCsiIUjCJ9S6FBmvXa+ekUdO389oPt/FQL4G2NtbsXeu38D4D/AT4G3Ild1HAF8GvKfKJKwShS3zqwwJmTcf2Mw8q1TraxflcDbE/yHRajg5Ak1UIXEB7Oj8CS9kbgAuAnwI8o08AkCkYRKUT0zH3KScal5wGX2RCZr94Hu3yd8NYSSbeZ2ME9b8rz/oOxjqLfxQZruQX4JrC82A+URMEoImU0Ath5OdkvdhiKBeVo7NLbH2BdouIasIsrjsGC+tKeljRKwSgitWS5m14H/gsLv0AH1m94AfAX7OZkWfqbFkzBKCK1aCR2C9tFbvo3dtj8MBaQZaVgFJFaNBm4HDsbPa/Sb65gFJFaVNUryNIuNxIRqUsKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURi1MFbJNmXgAnY9bgVH0FaqkvBKNLdQdjtbz3sboIKxjqjQ2mRroYD12EDoUqdUjCKdHU18Cpwa7ULItWjQ2mR0F7AkcBUbKh+qVOqMUq9GQFsBXwUGBRZPhi4Absb3X+qUC6pIaoxSm+X8eZMbAxMBAZEtt0JeMo9vwJYhp10kTqnYJRa0oDdECmYxsBVQ2EFsAT4w7nAubF10v6Gl2KjPy/Bziw/EJlfArzh1tsdOB7YherfZF5qgIJRyi3rfYvHk3gD+LMizxt2w0ZzXoCFWq6bwGe9b3FgH/d4Z2TZQPd4DTaS9FbAuoz7k15OwSiFaiFbyLUAY4B+KfvqJAy12SSG3KM/hs3GW2b2Pwi8WWX4TPdh1dKoScApWC3zecp8g3epLQrG+tYEbEQYavmCbizpJ+zaCUNtDuk3Ul9EpsPWj1xT6Icqwt/cFPUxLBjvBn5VgTJIDVEwlt4Y7NCrETi2wu89ELu7WpaQawHGYVd35JIv6KLzbehQU/oIBWPpbA58GzvTOQo4uOe77MAy52dTsBuRR0MtV/Dl0knXmtuL5A65duz+vfV8+PgssCP2D0HqjIKx53YEvglsRxhM/wEeSlg36FqSoTY3Yji8F2w3M2FfhQbdAsAv/mPWnRVU8S51Ul0KxuLtD3wNO1vZEnttKPAzutbuJgLDUvYXDbpW2H8LGD3ANn34W/DXR7u+TnsJP4uIRCgYC3ckcAGwJWGXjrgxwBGEITaH8KxrUm1uHpHqoZnZzobOyBffBd4TpfwQwiTgNGAx1j66mLB/Yxvdfh9STxSMhVuCDTIwCDtLO5juJzAWYp2F36ps0aQAWwCnp7y+mq5BuZgwPBfRtaP4YuCdchZWKkvBWLiHCNsPJwGHAwdgg5qOxQ6jxwEXAidWoXySzQPYP7Qs/TInANuTv19mO4xfD1Pcpiv3AL5Fcttvxu5KUg0Kxp55A7jSTY3AR4BjgA9jh9zXAC9Uq3CSSRBYWeUJ0rG7QedG1nLSNgU4J2Vf0Q7uaVfxLMBqpWsKKKf0gIKxdNbStaPwRugPuS/KE6TPXEF4HeNN4H2ZbJdETse6efVPee+kIC3FJZESo2AsH7U5CVhn1Dlk7w+Z5dryFmBbYBPyB2laLTQ6Px9Ylf1jVcR2wL+pQn9aBaNIbSkmSLNc5bQt3Yddi4t1GUsN04SeFCV3MdZP+DrgWioY3ApGkd6tw02tZOuQnitI48vGY1dxDU/ZV0qQfnEqfNLtyhvm9tda4Ge7FDvReTl2IvNu4BtUoCuVglGkvhQbpPlqpeOx2t0I2+yHbgJsWLf5dL9aK1+t9F/ucSPsQoozgEOxdvyvunXLQsEoImmiQfpihvUHA6PglnOg5QvWzfOF5+GqWdjYcaPc43js3jpDUvbVSdfuUQ1YX6gpwIHYrW1PBV4u6BNloGAUkVJ636bPzossew2uOjvH+mkjQm0E/A/JJ5hGYjcvewprf/xqSUrvKBhFpJqCLkhJ7Y8HAMfFlq3G+nQuBR4HrsdqjiWlYBSRWtSAnZUeRHhJ5uvYSFP3AsvL+eYKRhGpRXtgw+Sdj42gXtFb2ioYRaQWPYR1F6qKtPt3iIjUJQWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlR6nlDoQAADAFJREFUMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURiGqtdABGREpsGeAnLXwFWZNmBglFE+prHgAEJy3cH/pZlBwpGEalVQ7GMGowF3UCgOfL84ZRtrwR+FFvWmvWNFYwikqaZMJAKeDx6d9gS6ATmTgWuL2AfACNIPhwOrIqsm6QdmFPYRw0pGEVqU39gCHaCdLhb1uIehwH93Ov9CQOlCRiEfa+HYsEywm0TBE1aLWyw2++wnhd/ZuR502TgCCwlO4A1WFvfOizAgglgmVu+wq3X4bZbBawE1gLLgfV5CjAY+AhhQK4upPQKRpHcstRsYsv+dxpshn2fX9kJ+H7+bbo9BoFXSkEoxR/fBRYkLE/bJtdjZJunT4JJ57gMvwu8w0v8efI5z01ggfpd4CLyByqgYCyVscA5wOPAr6tclr6kGd5psMpCJ/DnzYDpZAqogg7b4suCGlkRujRrTXVTvrBpz7G82ICKbvsu4Bf3WXpih2WVf88NLgHuxwJ/InA2cAH2M7k8yw4UjMXzgH2Br2CNKU3AN6taotIrZdgUsk2kfWlUtDzXF/k58oVNWjAVGFSPnQabnuiOTn8GQ44rssxSvGj4zcMO4x8HTse+o3n/USgYCzcKOAs4ANgUa7MBeBBYXLq3WelZTakDuGsCMIXKBFR021JJC5v29HXOPhlGjrAiPXAN/GE22YMqaKeqoF3fi8ysq+x7Sw7rsO/nOcBI4J18GygYs9sLuBTYHBhN9zNmDdgPPgiXoPE82pgdNJ4Pd+vnajzH2o43uLMH5Q4as9/HGqCD4FiNhdJirDHbxw67IDz8Wo41dgfbBoGz2i1b5/YPYcC9h7XjlCiUvv1pNpxAOO1P4M3q+T6lDo0j/B7kpWDMbzxWDR9JLK1iPuGmJLlqNEtyLO+EM0+GxibLy3uug6dfy71urbUviVTN5sAi7J96YHfgM8BD2PcjLwVjfq3YD/YLwKHYofSIhPVmASdg/5GCLgU9cOUxWA0SuPgW8J7o2f5EepWh2EnN0dh3blRkfjTwV+DGhO2OAM4HZmMnXzbFuu20Al/M+uYKxmzewA6TzwEmYSG5N1abHOfW2RT7RahdSaS7EcAYwqAbjQXdqIT50WyoFCRaQe72/F9itcIPufd8DrgV61j5Xo5tulEwFu4NLCDBQvIUYB/s5MjZ9L0z0yJJmrE2842xCkJL1/ntd7JcWgC8dQhwWMq+gpNwrcCzdO303ep2EszPIz3g3gS+V/SnchSMPfMGcK6bJgFbV7MwIj3QTM6Q6zY/ivQO6J3w1hprH98W2HIezLqL7iHXigVdQVelVIKCsXTecJNILSgk6EaTngWdhKE2m9y1uUjQLTsPuMxt/yR4p5Xws5WdglGku12B57FLyWpFC9lCrgVry0u7cicp6JJCbgHWllfhvqDVp2AUMR52RvNsYBM3lUsTsBFhqOULurGkj7bfThhqc+gectGgW4T1mpAUCkapdwOwE2gnYu3EQ4AfU1i710Csn2sL3DrBcq8VeHYaNohEPPTGkT6kVr6gi863oZ4QJadglHo1FDtpdhgwmXDE57XYAARBkMVDLWlZJOg+F32PadjZh2jN7UVyh1w7sJCMI8BI+SgYpd6MwbpU/TdWy4vX3BpJvwRzJXbF0kLsZNuTbr4NWAzfOwh2OcTeZvjNMOrYkpZeKkLBKPVkOvAIVjtM627yMHZlRdIhbHvKdsBp20Vm6u6kRV+hYJR6Mhs77N0XOB67Wim41CzKBy6uaMmkpigYpd6swA6Vg8PlycCRwH7ABCw4pwIfxq7CkDqU1gVApB7MBb4N7AFsg42zeTexsyhSX1RjFAmtxdogH6l2QaS6VGMUEYlRMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYnRlS8i0lcNwwYKWYbdiybzOJeqMYpIXzMc+Bl2v5oXsFuqLgQ+kHUHqjGKSK3xsJtSg4VcAzbieiMwCLt3RCNwb8K2jcCfgK2AM4DH3Pr/RQH3ulEwikiSZuxeNsFj0rKUxwM+AZtjNyRsmwb8IuO2QfDlsypSrqiTgd2AvYEHI8sfy7DPDRSMIrUnCIkBwGDsVqjDyFaTCkKmP3Zjr2BbsPvTRLcd4tYLtm1yz0vgj+5xGLBuAjas2xqgA0vLVdho6IuB5Vj733tuo3exwYKXYTf6eh+7OVmw7WpsXM0kxwJP0zUUC6ZgFEmWtXYUW/f4ne3Oq53Aqx8Brs++LQMJg65UOrFAiT4PHpfE5uOPSdtkfJxzBky6wN1S5x7wDi/hZ8plADbA8G3AFcBxbtkLwOXAH7LuSMFYGpsCF2L/pW6vcln6ChcUb/cLKxr3bInVHrKGTDHhFtSminRTdGY77HgyLWzayR468W3THlditbIqmdyRf52Sa8Ey7RDgbeCL2B/P6cDvgU9id4DMS8FYvH7AocCXgSnYl+mcqpaodEodNsVs62wanbm2iM+SFiDtGdYpMKBe+ApMOMUdpd4I3olFlFmKs9I9NgH7A2+5+fuA/wBnoWAsmwnAV4G9sG9t0CZzP7C0RO/RDEs9+651Ar+cQnhGrZwBNZjw/sqlki+Y8oTNxV+GES1WxPuuhDv/mbBe0rZB+1SFbZ+r7UvKb7mb5hCGYrD8H8BOWXekYMymATgQu3PcROzOcnEDgEtIbgBvwA7RIGwAH4bVOoMG8FhtaaPovmcWWe6gRhSExArC49Lg5u4rsdBdjjV4v+u2CRrAl7vXgwbwIHhWu2Xr3P6j275HyW4af9Hn2fAzO+kB8GaVZr/SR83Fvldx/SjgH6WCMb8J2G03h5PcPSDwcTdFpdVoFpF6uHb+aTDUvd9dV8PjL+det9tj8Fyk3vwWOB/YAnjdLWsBPkYB9/JRMOY3HzvTdTxwDDASq855sfXuBY4irEn10DdOZkMQn/Mr8J7o+T5FeoVG7KhsNOF9v4PnwfxDwA8Ttv0edofH+7Ez06uBU7EjsssKKYDktxD7oV6G3Xf4eOAgrDY5HgvJSYSHnSKyQUcD9j2JhlwQdKPdslGR+Y2S9wPY4fBiwtpg3HvA7lj3nPOwZqongROAp7KWWMFYuHhIHgf8N7AlcAHWDinSlzVh4dXipo2x4GsJp613s3hpBxYejHWhyaUdWAC8gwVeq5tvd1N0vo38bYWtWEfvoikYe2Yh9p/pciwkt6pucUSKMhBrIsoVdPH5cXRvSgqsApbCu/2srjAF6PcG/P4XJAfdQkp2oq50FIyls9BNItXWTPaQC5blEnSrCqYXyV2bC2p+PrSdR9im9zR4F5fs01WAglGku72AxynJSbSSKCToxhNeT50kGnStWI+LdvIGXX1RMIqYfli71JewkwGbpq7dM0HQZanNTSQcBCJJWtDFQ24+YV9TSaFglHrXDPwf8FmsZ0EzcB3WEb6Qfbhgu3pzOy/RDjy+EzbcVjT4JpJ+dVEQdK3YFRxpQfc21rleSkzBKPVqJHARsB8WiP3d8jXAA9hZg7TaXDA/KrItNjbqBlOBrQlD7SXs0rSkkGvFht9fXcoPKcVRMEq92QT4DjbSSlJbXH/gdzm29bE+dEvc9CjWfSSYXww/PQR2PtLycuRN0HR8icsvFaBglHoyHfgL9nefdnnn/dhIq/FD2EXk7cB/3PTITM11Q5FsFIxST2ZjVbmPAydiYyWOxfrlRcdgHAB8v+Klk5qhYJR6swobn+8+Nz8OOAw4GDsTPQb4ELALoOvT65Runyr1biF2FnofYBv3eAs2CLHUKdUYRULrsYEGMg82IH2TaowiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCISo2AUEYlRMIqIxCgYRURiFIwiIjEKRhGRGAWjiEiMglFEJEbBKCIS01jtAlRBI/hbVbsQGeifVncTesHvrqXaBahBQ3rB721SdKYeg3Ec8Eq1CyFF+Wm1CyBF2Zde9p1TrUREJEbBKCIS8/8Bz4aidfspyxgAAAAASUVORK5CYII="
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "f84ef616",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g33659.png\" align=\"left\" width=\"225\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "df60e4e7",
|
||
"metadata": {},
|
||
"source": [
|
||
"However, FIFO ordering is not enough. In the next figure, communication between process 1 and process 3 is particularly slow. Note that process 3 receives messages from process 1 after it receives the messages from 2 even though FIFO ordering is satisfied between any two processors."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {
|
||
"g33721.png": {
|
||
"image/png": 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"
|
||
}
|
||
},
|
||
"cell_type": "markdown",
|
||
"id": "bdae65f8",
|
||
"metadata": {},
|
||
"source": [
|
||
"<div>\n",
|
||
"<img src=\"attachment:g33721.png\" align=\"left\" width=\"225\"/>\n",
|
||
"</div>"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "86534783",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Possible solutions\n",
|
||
"\n",
|
||
"1. **Synchronous sends**: Use synchronous send MPI_SSEND. This is less efficient because we spend time waiting until each message is received. Note that the blocking send MPI_SEND used above does not guarantee that the message was received. \n",
|
||
"2. **MPI.Barrier**: Use a barrier at the end of each iteration over $k$. This is easy to implement, but we get a synchronization overhead.\n",
|
||
"3. **Order incoming messages**: The receiver orders the incoming messages, e.g. according to MPI.Status or the sender rank. This requires buffering and extra user code.\n",
|
||
"4. **MPI.Bcast!**: Communicate row k using `MPI.Bcast!`. One needs to know which are the rows owned by the other ranks."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "de96ad1b",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Exercise \n",
|
||
"Rewrite the worker code of the parallel ASP algorithm so it runs correctly. Use the `MPI.Bcast!` to solve the problem of overtaking messages. Note: Only use `MPI.Bcast!`, do not use other MPI directives in addition. You can test your function with the following code cell. "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "31194529",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"function floyd_par!(C,N)\n",
|
||
" comm = MPI.Comm_dup(MPI.COMM_WORLD)\n",
|
||
" nranks = MPI.Comm_size(comm)\n",
|
||
" rank = MPI.Comm_rank(comm)\n",
|
||
" T = eltype(C)\n",
|
||
" if rank == 0\n",
|
||
" buffer_root = Vector{T}(undef,N*N)\n",
|
||
" buffer_root[:] = transpose(C)[:]\n",
|
||
" else\n",
|
||
" buffer_root = Vector{T}(undef,0)\n",
|
||
" end \n",
|
||
" Nw = div(N,nranks)\n",
|
||
" buffer = Vector{T}(undef,Nw*N)\n",
|
||
" MPI.Scatter!(buffer_root,buffer,comm;root=0)\n",
|
||
" Cw = Matrix{T}(undef,Nw,N)\n",
|
||
" transpose(Cw)[:] = buffer\n",
|
||
" MPI.Barrier(comm)\n",
|
||
" floyd_worker_bcast!(Cw,comm)\n",
|
||
" buffer[:] = transpose(Cw)[:]\n",
|
||
" MPI.Gather!(buffer,buffer_root,comm;root=0)\n",
|
||
" if rank == 0\n",
|
||
" transpose(C)[:] = buffer_root[:]\n",
|
||
" end\n",
|
||
" C\n",
|
||
"end\n",
|
||
"\n",
|
||
"@everywhere function floyd_worker_bcast!(Cw,comm)\n",
|
||
" # Your implementation here\n",
|
||
"end\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "1b7eb4c2",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"load = 10\n",
|
||
"n = nworkers()*load\n",
|
||
"C = rand_distance_table(n)\n",
|
||
"C_seq = floyd!(copy(C))\n",
|
||
"C_par = floyd_par!(copy(C),n)\n",
|
||
"@test C_seq == C_par"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "c789dc7a",
|
||
"metadata": {},
|
||
"source": [
|
||
"# License\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"This notebook is part of the course [Programming Large Scale Parallel Systems](https://www.francescverdugo.com/XM_40017) at Vrije Universiteit Amsterdam and may be used under a [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/) license."
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Julia 1.9.0",
|
||
"language": "julia",
|
||
"name": "julia-1.9"
|
||
},
|
||
"language_info": {
|
||
"file_extension": ".jl",
|
||
"mimetype": "application/julia",
|
||
"name": "julia",
|
||
"version": "1.9.0"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|