{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IFN Tutorial for General Network\n", "\n", "by [*Kardi Teknomo*](https://people.revoledu.com/kardi/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How to Install\n", "\n", "\n", "You need to have Python installed. Go to [Pypi.org](https://pypi.org/project/IdealFlowNetwork/) and find IdealFlowNetwork version 1.15 (or latest version)\n", "\n", "> pip install IdealFlowNetwork\n", "\n", "Alternatively, download the zip file from [GitHub](https://github.com/teknomo/IdealFlowNetwork), unzip the file in a folder. \n", "1. Go to folder *pkg*\n", "\n", "> cd *your_folder_name*`/pkg`\n", "\n", "2. In command Prompt > `pip install .`\n", " \n", "> pip install . \n", "\n", "It copies the package files to your Python environment. If you computer does not have pip, check [ensurepip documentation](https://pip.pypa.io/en/stable/installation/#ensurepip)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Ideal Flow Network\n", "\n", "\n", "After the installation, to use IFN you need to import the module.\n", "To import, you can either use this style:\n", "\n", "> `from IdealFlow import Network as net` # from package import module as alias, or\n", "\n", "or this style\n", "\n", "> `import IdealFlow.Network as net` # import package.module as alias" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "IFN version: 1.15\n", "Copyright: © 2018-2024 Kardi Teknomo\n" ] } ], "source": [ "# from IdealFlow import Network as net # from package import module as alias, or\n", "import IdealFlow.Network as net # import package.module as alias\n", "\n", "n = net.IFN()\n", "print('IFN version:',n.version)\n", "print('Copyright:',n.copyright)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Notations\n", "\n", "* A = Adjacency matrix\n", "* B = Incidence matrix\n", "* C = Capacity matrix\n", "* F = Flow matrix\n", "* G = Congestion matrix\n", "* S = Stochastic matrix\n", "* sR = sum of rows\n", "* sC = sum of columns\n", "* kappa = $\\kappa$ = total flow in the nework\n", "* pi = $\\pi$ = node vector (steady state)\n", "* [m,n] = matrix size\n", "\n", "### Terminologies:\n", "* Path = trajectory = node sequence\n", "* Cycle = path that have the same start and end\n", "* Flow = link weight, or node weight" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# General Network\n", "\n", "The IFN class can be used for a general network, not just for ideal flow types. Using the Ideal Flow Network (IFN), you can create any network (i.e., directed graph) by adding nodes or links.\n", "\n", "\n", "\n", "\n", "### Add Link\n", "Begin by adding links by specifying the from node, to node, and optionally, a link weight (flow). The default link weight is 1. When adding a link, the nodes are automatically added. By default, when a link is added, its flow is set to one (if not specified otherwise). You can also explicitly set the link flow by specifying the flow value.\n", "\n", "```python\n", "n.add_link(startNode, endNode, linkFlow)\n", "n.add_node(nodeName)\n", "```" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "n.add_link(\"a\",\"b\",2)\n", "n.add_link(\"a\",\"c\",1)\n", "n.add_link(\"a\",\"d\")\n", "n.add_link(\"b\",\"c\")\n", "n.add_link(\"b\",\"e\",3)\n", "n.add_link(\"c\",\"e\",4)\n", "n.add_link(\"d\",\"c\",5)\n", "n.add_link(\"e\",\"a\",3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add Node\n", "Nodes are created automatically when you add a link. To add an isolated node, you can use \n", "```python\n", "n.add_node(nodeName)\n", "```" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n.add_node('isolated node')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Show Network\n", "\n", "We can show the network \n", "\n", "```python\n", "n.show()\n", "```\n", "The total link flow, $\\kappa$, is shown in the network title when displaying the IFN.\n", "\n", "#### Layout Options\n", "The available layout options are: None, 'Bipartite', 'Circular', 'Fruchterman', 'Kawai', 'Planar', 'Random', 'Shell', 'Spectral', 'Spiral', and 'Spring'." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Delete Node\n", "\n", "Deleting a node means deleting all the links connecting to that node.\n", "```python\n", "n.delete_node(nodeName)\n", "```" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n.delete_node(\"isolated node\")\n", "n.show(); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Updating Link Flow\n", "\n", "If we repeat *add_link* to the existing link, the link flow (i.e. link weight) will be added." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n.add_link(\"a\",\"d\") # now link a->d has flow of 2\n", "n.add_link(\"a\",\"b\",3) # now link a->b has flow of 5\n", "n.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set Link Weight\n", "\n", "We can set the link weight directly via *set_link_weight* method.\n", "```python\n", "n.set_link_weight(startNode, endNode, weight)\n", "```\n", "\n", "If you just want to add one flow, the following method simplify it.\n", "```python\n", "n.set_link_weight_plus_1(startNode, endNode)\n", "```\n", "\n", "Alternatively, we can also set the link weight directly via *set_item* property: \n", "```python\n", "n[startNode, endNode]=weight\n", "```" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5\n" ] } ], "source": [ "n[\"c\",\"e\"]=5\n", "print(n[\"c\",\"e\"]) # prints 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get link weight\n", "\n", "Link weight can be accessed via *get_item* of the network\n", "```python\n", "n[startNode, endNode]\n", "```" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n[\"c\",\"e\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Delete Link\n", "\n", "To delete a link by specifying the start and end nodes\n", "```python\n", "n.delete_link(fromNode,toNode)\n", "```" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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tGqpVq4YPP/xQhkyJyJg4TUBkoeLi4tCoUSP0798fa9asKVNfoihixIgR2LZtG65cucJ7CIgsDIsBIgvVo0cPXLt2DVeuXEG5cuXK3F9KSgoaNWqEwMBA7Nu3Tw8ZEpGp4D0DRBYoOjoaERERmDt3rl4KAQBwd3fHvHnzEBERgWvXrumlTyIyDSwGiCxQWFgYPD098dZbb2lsc/z4cbz++uuoXLkyHB0dUa9ePUybNg0ZGRka39O3b194enpi1apVcqRNREbCGwiJLNDBgwfRt29fjU8NrFq1CmPGjEGFChXw+uuvw9PTE+fPn0doaCiOHDmCI0eOqH2vo6Mj+vbti0OHDsn9JRCRAXFkgMjCpKam4saNG2jRooXaeHR0NMaNG4fGjRvj1q1b2LRpExYuXIgjR45g3rx5OHXqFJYvX66x/+bNm+P69etIS0uT60sgIgNjMUBkYWJjYyGKosalhFevXo28vDwsX74cHh4eKrHPPvsMVapUwbZt2zT2HxQUBFEUERMTo9e8ich4OE1AZGGys7MBAC4uLmrjZ86cAQDs378fhw8fLha3t7fH9evXNfbv7Oysch4iMn8sBogsjKOjIwBovBHwyZMnAFDqFQUzMzNVzkNE5o/TBEQWxs/PD4IgIDo6Wm3c3d0dQMG6AXl5eTh16hROnz6NvLw8iKKo/NDk6tWrEAQBfn5+suRPRIbHYoDIwri5ucHf3x/nzp1TG2/VqhUA4OjRo+jQoQPatm2LNm3aoEuXLsq/+rU5f/48GjRoADc3N73mTUTGw2KAyAJ169YN4eHhyMnJKRYLCQmBnZ0dBg0ahNOnTytfP3HiBGbNmoVnz57h4sWLavvNzs5GeHg4unbtKlvuRGR4LAaILNCoUaOQkJCAXbt2FYs1bNgQ8+bNw9OnT4vFFi5ciGrVqmH16tUAUGzKIDw8HAkJCRg9erR8yRORwbEYILJAgYGBCA4OxhdffIHU1NRi8Xv37ql9X35+Ppo1a4YmTZqgRYsWcHd3h7e3N0aOHInz589jypQpCA4ORkBAgNxfAhEZEDcqIrJQmnYtfPDgAerUqYOsrCy173NwcFA7vSAIAmxtbfHXX3+hadOmsuVNRIbHkQEiC+Xr64ulS5di7dq1mDNnjvL1+fPnaywEAKgtBICCKYO8vDx07doVK1asQG5urt5zJiLj4MgAkYULDQ3FtGnTMGzYMEyaNAmNGzfWy4JBAQEBWLx4MYKDg/WQJREZE4sBIiuwdu1ajB8/HoIg6H1PgR49emDRokW8j4DIjLEYILISp0+fRvv27aFQKPTet62tLUaPHo2ZM2cW2++AiEwf7xkgskAKhQLXr1/H3bt3la9t27ZNlkIAKHgKYcWKFfDz88OyZct4PwGRmWExQGRhHj9+jPbt2yMgIAA+Pj4YPXo04uPj8d1338l+7mfPnmH8+PFo1KgRfv31V63LGhOR6eA0AZEFEUURNjbFa/w33ngDP//8s8Hz6datGxYvXoyGDRsa/NxEJB1HBogsSPfu3dW+/ttvvxk4kwIHDx5EkyZNEBISgmfPnhklByIqGUcGiCzE+fPn0aJFC2OnoVFQUBD27duHmjVrGjsVInoOiwEiC6BpesDU9O7dGz/99JOx0yCi55j+bw8iKtFLL71k7BQk2b17N+Lj442dBhE9h8UAkZk7e/Ysjh49qjZma2tr2GQkSExMNHYKRPQcThMQmTFzmR4oJAgC7ty5gxo1ahg7FSIqwnx+ixBRMR07dtQYq1WrlgEzkaZbt24sBIhMEIsBIjN1+vRpnDx5Um1s/vz5KFeunIEz0q5u3bpYv369sdMgIjU4TUBkhhQKhdb7AURRxI8//oj+/fsjPz/fgJmp98Ybb2D16tWoVq2asVMhIjVYDBCZodatW+Ps2bNqY0lJSahUqRIAIDIyEgcOHEBqaioAqCwPPHv2bLXv/+KLL7B69WokJSWVOc+KFSvim2++wXvvvQdBEMrcHxHJg8UAkZk5efIkOnTooDa2aNEiTJgwQVI/mi7Ooiji1Vdfxb59+0qdY6GlS5fi448/LnM/RCQvFgNEZkTK9IBU2oqBkJAQrFq1Suf81MnMzISTk5Ne+iIiefAGQiIz0rJlS42xJ0+e6O08tWvX1ltflStX1ltfRCQPFgNEZuLYsWP4+++/1caWLVuGihUr6u1cvr6+eusrPT0d27Zt01t/RKR/nCYgMgP5+fmws7PTGC/N/8bapgmuX7+OgIAAnfvUJiMjA87Oznrtk4j0gyMDRGagWbNmGmNybA3coEEDBAUFaW3j7u6u8YkEdSpUqFDGrIhILiwGiEzckSNHEBkZqTa2YsUKlC9fXpbzhoWFabzxLzg4GFevXsW0adMwcuRISf3l5ORg8+bN+kyRiPSE0wREJkyO6YFC2qYJCv3555+YOXMmDh06BABo3rw5xo8fjwEDBqi8X5c1BNLT0+Hi4lLKrIlIDiwGiExYUFAQoqOj1caSk5Ph7u5e6r6lFAOFcnNzkZubq/Eifvv2bck3HQqCAIVCIT1RIpIdpwmITNShQ4c0FgJhYWFlKgR0ZW9vr/Wv+dq1a2Ps2LGS+hJFERs3btRTZkSkDxwZIDJBeXl5sLe31xjXx/+2uowMlLVPdVJTU+Hm5lbqcxGR/nBkgMgEBQYGaoylpKQYMBPd3L59W3JbU9tVkciasRggMjH79+/HrVu31MbWrl1r0hfRWrVqYfz48ZLbr127Vr5kiEgyThMQmRBDTA8UkmOaoKS+1UlJSTHpAofIGnBkgMiE1K9fX2OscBtic3D37l3JbQ15IyQRqcdigMhE/P7774iLi1Mb27Bhg1ndbFejRg1MmjRJcvuwsDAZsyGiknCagMgE5ObmwsHBQWNcjv9N5ZwmKOkc6pR13QQiKj2ODBCZgDp16miMpaWlGTAT/bp3757ktnItq0xEJWMxQGRkv/zyC+Lj49XGvv/+e7i6uho4I/2pXr06pkyZIrn9ihUrZMyGiDThNAGREeXk5MDR0VFtzN7eHjk5Odo72LIF2L8fuHwZePAAePoUcHEB/P2B3r2Bjz4CNNxrYIhpgpLOpc7Tp0+5wyGRgbEYIDIiLy8vPHz4UG0sIyMDzs7O2jto3x44dQoICABq1gQqVQIePQJOnwYyMwE/P+DYMaB69WJvNWQx8PDhQ3h5eUluz19LRIbFaQIiI9mzZ4/GQmDLli0lFwIAsGgRkJgIXL0KREQAW7cChw8Dd+8WFAoxMcCnn+o5c91Vq1YN06dPl9x+6dKl8iVDRMVwZIDICLKzs+Hk5KQ25uzsjIyMjLKf5MQJoGPHgtGCpKRiYUOODJR0TnWePHmCihUrypYLEf2HIwNERuDt7a0x9uTJE/2cxM6u4L8a7kkwBk0jIepUqlRJxkyIqCgWA0QGtmvXLiSp+UsdAHbs2KFxxEAnqanAzJkFn7/xRtn705OqVati1qxZktt//fXXMmZDRIU4TUBkQNqmB9zd3ZGcnFy6jg8cKLhfQKH47wbC1FQgOBjYvh1Q8wy/MaYJSjq3OomJifDw8JAxGyKyM3YCRNakatWqGmOPHj0qfcfR0cCmTaqvDRgALF6sthAwtoSEBHh6ekpqW7lyZT5dQCQzThMQGciOHTs0/uW/a9eusk0PjB8PiCKQk1PwBMGiRcC+fUBgIHD8eOn7lUmVKlUwd+5cye2/+uorGbMhIk4TEBlAVlaWxkcFK1WqpPEegjI5exZo0waoUQO4cQN47vzGnCYoKQd1EhISUKVKFRmzIbJeHBkgMgBtc97379+X56StWhWMDNy9C5w/L885yigxMVFyW6nTCkSkOxYDRDLbunWrxnUDdu/erXE5Yr0o3NcgIUG+c5SBh4cHFixYILn9nDlzZMyGyHpxmoBIRhkZGRo3GqpatapOz93rLDGxYIogOxuIjAQaNVIJm8I0QSFdpgsePXrEUQIiPePIAJGMtK2gd+fOnbJ1Hh1dsFFRVlbx2M2bwNtvFxQCrVsXKwRMjS4LLWl7IoOISofFAJFMNm/erHHXwb1798LBwaFsJ0hIAN5/H6hcGejQAejfH+jbF2jRomDjoqNHC/67Y0fZzmMAFStWxJIlSyS3nzFjhozZEFkfThMQyUDb9IC3tzfi4+PLfpLHj4E1awr2ILh+veA4N7dgL4JGjYA+fYAhQzQuR2xK0wSFdJkuePDgAapVqyZjNkTWg8UAkQxsbGw0XlRzcnJgb29v4IyKM8Vi4NmzZzptTsRfX0T6wWkCIj3buHGjxovUb7/9ZhKFgKmqUKECli9fLrn91KlTZcyGyHpwZIBIj9LT0+Hm5qY2Vrt2bcTFxRk4I81McWSgkC7TBffu3UP16tVlzIbI8rEYINIjbRex3Nxc2NmZznYgplwMpKSkoLwOeyqYQs5E5ozTBER6snbtWo2xiIgIkyoETJ27uztWrVoluf3kyZNlzIbI8nFkgEgPUlNT4e7urjbm5+eHW7duGTijkpnyyEAhXaYL7t69ixo1asiYDZHlYjFApAfmND1QyByKAW1FljqmlDuROeE0AVEZrV69WmPs4MGDJlkImIty5crhu+++k9x+woQJMmZDZLk4MkBUBtpudAsICEB0dLSBM5LOHEYGCukyXfDvv//Cx8dHxmyILA+LAaIy0HaRysvLg62trQGz0Y05FQNpaWkoV66c5Pam+DUQmTJOExCV0rfffqsxdvjwYZMuBMyNm5sbNmzYILn9uHHjZMyGyPJwZICoFJKTk1GhQgW1sUaNGiEyMtKwCZWCOY0MFNK2zPPz4uLiULt2bXkTIrIQLAaISsGcpwcKmWMxoG0DKHVM+WshMiWcJiDS0TfffKMxdvToUbMoBMyVi4sLvv/+e8ntR48eLWM2RJaDIwNEOnj69CkqVaqkNtasWTP8/fffBs6o9MxxZKCQo6MjcnJyJLWNjY1FnTp1ZM6IyLyxGCDSgbbpgfz8fNjYmM9gmzkXA5mZmXBxcZHc3hy+JiJjMp/fXERGtnjxYo2xEydOmFUhYO6cnZ2xdetWye2HDRsmYzZE5o8jA0QSPHnyBB4eHmpjLVu2xNmzZw2cUdmZ88hAITc3N6Snp0tqe/PmTdSrV0/mjIjME4sBIgksaXqgkCUUA1lZWXB2dpbc3py+NiJDMr/fYEQGtmDBAo2xP//80ywLAUvh5OSEHTt2SG4/aNAgGbMhMl8cGSDSIjExEVWqVFEba9euHU6ePGngjPTHEkYGClWsWBHPnj2T1Pb69evw9/eXNyEiM8NigEgLbdMDCoVCpw10TI0lFQPZ2dlwcnKS3N4cv0YiOXF8k0iDefPmaYydOXPGrAsBS+Po6Ijw8HDJ7QcMGCBjNkTmhyMDRGo8fvwYnp6eamOdOnXC0aNHDZuQDCxpZKCQp6cnHj9+LKltdHQ0AgICZM6IyDywGCBSw5KnBwpZYjGQk5MDR0dHye0t5XtJVFacJiB6zuzZszXGzp07x4uHCXNwcMDevXslt3/nnXdkzIbIfHBkgKiIR48eoVq1ampjXbt2xcGDBw2ckXwscWSgkLe3N+7fvy+p7ZUrV9CwYUOZMyIybSwGiIqwhumBQpZcDOTm5sLBwUFye0v73hLpitMERP9vxowZGmN///03LxZmxN7eHr/++qvk9n369JExGyLTx5EBIgAPHz6El5eX2lhwcDD27dtn4IzkZ8kjA4Vq166Nf//9V1Lby5cvo3HjxjJnRGSaWAwQwbqmBwpZQzGQl5cHe3t7ye0t9XtNVBJOE5DVmzp1qsbYxYsXeXEwY3Z2djqN6rz++usyZkNkujgyQFbt/v378Pb2Vht7/fXX8fPPPxs4I8OxhpGBQvXq1UNMTIykthcuXEDTpk1lzojItLAYIKtmjdMDhSyqGBg8GNi0SWsTJwDZEruz9O890fPsjJ0AkbFMnjxZY+zy5cu8GJijdu0APz+1od/efRdde/SQ1E1wcDD279+vz8yITBpHBsgqxcfHo2bNmmpjvXv3xk8//WTgjAzPIkcGNmwo+FyDwMBAXLt2TVKX586dQ/PmzfWTH5GJ4w2EZJU0FQIAdNr9jszLlStXJLdt0aKFeRZGRKXAYoCszqeffqoxFhUVxekBC2Zra4s//vhDcvuXX35ZxmyITAenCciq3LlzB7Vq1VIb69evH3bs2GHgjIzHIqcJBg4EKlcGUlMBDw+gZUvg1VeB53YybNKkCSIjIyV1ffbsWbRs2VKGpIlMB4sBsirW/PTA8yyyGFDHywtYvx4IDla+pFAoYGtrK7l7a/vZIOvDaQKyGh9//LHGWHR0tNX8so+Ojsa4ceM0xgMCAjBu3DhER0cbMKsyatIEWLYMiIoCUlKAR4+AAweAtm2BBw+AN94Ajh5VNrexscGxY8ckd9+xY0cZkiYyHRwZIKtw+/Zt+Pr6qo0NGDAAW7ZsMXBGhhcXF4eQkBBERETA09MTCQkJatuNHj0a4eHhSEhIQHBwMFauXKnx387kiSLQuzewd29BwXDpkkq4efPm+PvvvyV1derUKbRp00aGJImMj8UAWQVtf/Vbw/8Ca9euxfjx41G5cmXMnTsXb731Fhyfm0cvJIoicnJysGvXLkyZMgVJSUlYunQphg0bZuCs9eTyZeCFFwo+v3MHKPIkia7TBfn5+bCx4YAqWR7+VJPFGzNmjMbY9evXDZiJcYSGhmL48OHo378/rly5ggEDBsDBwUHrexwcHDBgwABERUWhf//+GD58OEJDQw2UsZ4FBPz3eXy8SsjGxgYnT56U3FXbtm31lRWRaRGJLNg///wjAlD7MXDgQGOnJ7s1a9aIAMTZs2ervH7kyBGN/y7qzJo1SwQgrl271hBp69f9+6JYMGEgileuqG3SunVrjf8ez3+cOHHCwF8Akfw4TUAWzZqnB+Li4tCoUSP0798fa9asUYkdPXoUXbp0Ufs+df8uoihixIgR2LZtG65cuWJe9xAsWQJMmAC4uwOJiYCaLY05XUDWjj/NZLFGjBihMXbz5k0DZmIcISEhqFy5MhYvXlzmvgRBwKJFi+Dh4YGQkBA9ZKdHly4BP/8M5OWpvq5QAOvWAV98UXA8bpzaQgAomC44ffq05FO2aNGilMkSmSYWA2SRYmNji/01XOjDDz9EvXr1DJyRYUVHRyMiIgJz585FuXLlJL/vi8ILpxru7u6YN28eIiIiJK/vbxC3bwO9egGenkDXrsB77wGvvQb4+gLDhgFZWUD//sCMGVq7ad26NTp06CDplBcuXNDp0UQiU8dpArJI1jw9AADjxo3Djh07cPfuXbU3CxZOE9ja2iI/P1/5erly5dCtWzfMnz8ffmp2/8vOzoaPjw/eeecdfPPNN7J+DZLFxQHffAOcP1/weVJSwR0CVasWrEA4ZEjBKoQSiKKo0/B/Xl6eTtMLRKaKWxiTxRk6dKjGWGxsrAEzMZ6DBw+ib9++JT418OKLL+L8+fOoXr06XnrpJTx79gy7d+/GiRMncObMGdSpU0elvaOjI/r27YtDhw7Jmb5ufH0L7gvQA0EQcPbsWbRq1UpS+6ZNm0pe1pjIlHGagCzKzZs3sWHDBrWxkSNHFru4WaLU1FTcuHFD0rz2X3/9hZUrV+Lu3bvYtGkT9u7di1WrVuHx48caV2xs3rw5rl+/jrS0NH2nbhJatmwpeYOiK1eu6LTxEZGp4jQBWRRrnx4AgEuXLqFp06Y4c+aMxr9wC6cJ6tevj2vXrqkMjSsUCjRo0AAxMTF49OgRqlSpovLes2fPonXr1rh48SJeKFzMx8JwuoCsDUcGyGIMHDhQY+yff/4xYCbGlZ2dDQBwcXEpsW27du2KXfRsbGzQrl07iKKIy5cvF3uPs7OzynkskSAIOH/+vOT2DRs2lDEbIvmxGCCLcP36dWzevFltbMyYMeb1XHwZFS4znJGRUWLbqlWran09OTm5WCwzM1PlPJbqxRdfRHCRnQ61uX79Og4cOCBzRkTyYTFAFiGg6JKzz1mxYoUBMzE+Pz8/CIIgadfBR48eaX29fPnyxWJXr16FIAhqnzawNL///rvktt27d0fe82sdEJkJFgNk9gYMGKAxdvv2bcMlYiLc3Nzg7++Pc+fOldj2zz//hEKhUHlNoVDg1KlTEAQBTZo0Kfae8+fPo0GDBnBzc9NbzqZKEARcvHhRcvsGDRrImA2RfFgMkFmLjo7Gtm3b1MbGjx+PWrVqGTgj09CtWzeEh4cjJydHa7ubN28WW5xpzZo1uHnzJl577TWEhYVh6dKlylh2djbCw8PRtWtXOdI2SS+88AJef/11SW1jY2Oxb98+mTMi0j8+TUBmq6Q7vq35Rzs6OhpBQUHYsmWL2pGTwqcJunfvjiNHjiA4OBhBQUG4evUqfvnlF3h4eOD48eMIDAxUvic5ORm//vor3nvvPURHR2udmrE0uj5dkJOTA3sNSx8TmSKODJDZ6tevn8bYnTt3DJiJ6QkMDERwcDC++OILpKamamzXunVrHD58GMnJyfjmm29w9OhRvPnmmzh9+jQCAgKwZ88eZdvy5ctj/PjxCA4OtqpCACiYLtBlcSFrWM+CLAtHBsgsRUVFoVGjRmpjEydOxMKFCw2ckenRtmuhLp48eQIPDw/l8SuvvIL9+/frI0Wz07dvX/z000+S2u7Zswe9evWSOSMi/WAxQGaH0wPSrV27FsOHD8fs2bMxbdq0UvUhiiLmzJmD6dOnq7yelJSESpUq6SNNs6HrdEFWVpbFP4JJloHTBGR2+vTpozEWHx9vwExM37BhwzBnzhz873//w/Dhw7VOGaiTkpKCESNGYPr06QgNDUVERIQy5uHhoTKNYA0EQcDVq1clt/f29pYxGyI9EonMyOXLl0UAaj8+//xzY6dnstasWSO6urqKPj4+4pYtW8Ts7Gyt7bOyssQtW7aIPj4+oqurq7h27VplLDk5WeXf/eWXXxYVCoXcX4JJeffddzX+HD7/8eOPPxo7XaIScZqAzIbI6YEyiYuLQ0hICCIiIuDp6Ym+ffuiefPmCAoKgrOzMzIzM3H16lWcP38e4eHhSEhIQHBwMFauXKl2BceBAweqrPr46NEjeHp6GvJLMipt+2A8LzMzE05OTjJmQ1Q2LAbIbPTs2RO//fab2tj9+/fh5eVl4IzMU3R0NMLCwnDo0CFcv35dpYgSBAENGjRA165dMXr06BKfGih8RLHQ1q1b0b9/f9lyNyU3b96Ev7+/pLYuLi5IT0+XOSOi0mMxQGbh4sWLaNasmdrYtGnTMHv2bANnZBnS0tIQExOD7OxsODo6ws/PT+eVBdPT01Xe07JlS5w5c0anv5zN1dChQzVumf28H374Ae+9957MGRGVDosBMnmcHjAPISEhWLVqlfI4Pj7eKm6g06XoSU9Pl7SbJJGh8WkCMnk9evTQGHvw4IEBMyFtVq5cidOnTyuPa9SogfXr1xsxI8OIiYmR3NYa9nMg88RigEza33//rXGBmxkzZqBatWoGzoi0ad26tXKLYwD48MMPERQUZNGjN3Xr1sXo0aMltRVF0SoKJDI/nCYgk8XpAfP22WefqawEGRcXh9q1axsvIZnpMl2QmprKUQIyKRwZIJOlbWe8R48eGTATKo0FCxbgwoULymNfX1+sWLHCiBnJS5ftssuVKydfIkSlwGKATNJff/2FP/74Q21s9uzZVvU8uzlr2rQpsrOzYWtrCwD46KOPULNmTSgUCiNnpn+1atXCJ598Irl9WFiYjNkQ6YbTBGRyOD1gmWbOnIkvv/xSeXzz5k3Uq1fPiBnJQ5fpgmfPnqF8+fIyZkMkDUcGyOR07txZYywhIcFwiZBezZw5E1FRUcrj+vXrY8GCBUbMSB667I9RoUIF+RIh0gGLATIpZ86cwfHjx9XG5s2bhypVqhg4I9KnoKAg5ObmKi+CkydPRoUKFZCXl2fcxPTI29sbU6ZMkdx+6dKl8iVDJBGnCchkKBQK5dyyOvxRtSwLFy7EZ599pjyOiopCUFCQETPSL12mC6xxO2gyLRwZIJPRvn17jbHExEQDZkKGMGnSJNy8eVN53LBhQ5V7CsydLgtieXh4yJgJUclYDJBJ+PPPP1VWrytq4cKF/GVpoerVq4f8/HzUrFkTQMF9Bba2tsjJyTFyZmVXrVo1nYobS7x/gswHpwnI6Dg9QADw7bffYuzYscrjCxcuoGnTpkbMSD90mS5ISEjgfTFkFBwZIKNr3bq1xtiTJ08MmAkZ05gxY1QW7mnWrBkmTZpkvIT0RJcnYLh+BhkLiwEyqhMnTuDcuXNqY4sXL0bFihUNnBEZU61ataBQKJQ3En799dcQBAFZWVlGzqz0qlSpgq+++kpy+1mzZsmYDZF6nCYgo+H0AGmzYcMGDB06VHl8+vRpraNIpk6X6YIHDx5wEy4yKI4MkNG8+OKLGmNPnz41YCZkioYMGYJ79+4pj9u0aYOQkBAjZlQ2SUlJktt6eXnJmAlRcSwGyCiOHj2KS5cuqY198803XJmNAADVq1eHQqFQjgisWrUKgiAgPT3dyJnprlKlSliyZInk9lOnTpUxGyJVnCYgg8vPz4ednZ3GOH8kSZ3t27ejf//+yuMjR45oXbraVOkyXRAfHw9vb28ZsyEqwJEBMrgXXnhBY+zZs2cGy4PMy7vvvquydXWXLl0wcOBAI2ZUOrr8jNeoUUO+RIiKYDFABnX48GGVzWqKWrlyJXdwI608PT0hiiK6du0KANi8eTMEQUBKSoqRM5OufPnyWLlypeT2n376qYzZEBXgNAEZDKcHSJ/27NmD3r17K4/37duH4OBgI2akG12mC27fvo1atWrJmA1ZOxYDZDANGjTAjRs31MaSk5Ph7u5u4IzI3D158kRlqerevXvjp59+MmJG0qWmpur0M89f1SQnThOQQRw4cEBjIbB69WoWAlQqlSpVgiiKyhGC3bt3QxAEs3g0tVy5cli3bp3k9ub8WCWZPo4MkOzy8vJgb2+vMc4fQdKH/fv3q0wT7NmzB7169TJiRtLoMl0QGxuLOnXqyJgNWSsWAyQ7Pz8/xMbGqo2lpqbCzc3NwBmRpUpJSVG5CbVr1644ePCgETMqWXp6uk7/D/BXNsmB0wQkq3379mksBNauXctCgPTK3d0doigqHzk8dOgQBEHQabMgQ3N1dcUPP/wguX3RJZqJ9IUjAySb3NxcODg4aIzzR4/kdPToUXTp0kV5vG3bNrz77rtGzEg7FxcXZGZmSmp748YN1K9fX+aMyJqwGCDZ1KpVC3fu3FEbS0tLg6urq4EzImvz/BB869atcerUKZ3m6Q0lKysLzs7OktvzVzfpE6cJSBa//vqrxkJg48aNLATIIFxdXSGKIkaPHg0AOHPmDGxsbHD//n0jZ1ack5MTduzYIbl90aWZicqKIwOkdzk5OXB0dFQbs7GxQX5+voEzIiooBNq0aaM8Xr9+PYYMGWLEjNSrVKmS5Ecjo6KiEBQUJHNGZA1YDJDeeXt7a/zLKz09HS4uLgbOiKjA80PxgYGBiIqKMqlpg+zsbDg5OUlur1AoTCp/Mk+cJiC92rt3r8ZCYPPmzSwEyKicnJwgiiImTZoEAIiOjoaNjQ3+/fdfI2f2H0dHR+zZs0dy+z59+siXDFkNjgyQ3mibHnBwcEB2draBMyLS7OLFi2jWrJny+NtvvzWpVf60jbA979KlS2jSpInMGZElYzFAeuPp6YnHjx+rjWVkZOh0pzSRIeTm5sLZ2Vl5H0vNmjVx+/Zt2NgYf9C0pEdzn8fpAioL4//Ek0UIDw/XWAhs3bqVhQCZJHt7e+Tl5WHGjBkAgLt378LW1ha3bt0ycmYFuf3++++S2/fo0UPGbMjScWSAykzb89EuLi5IT083cEZEurt69SoaNmyoPF64cCEmTpxoxIwKaFvO+3nnzp1D8+bNZc6ILBGLASqzcuXKIS0tTW0sMzNTpzujiYwpLy8Pnp6eykf7KlWqhISEBNja2ho1J20bfT2P0wVUGpwmoDLZunWrxkLgxx9/ZCFAZsXOzg5PnjzB/PnzAQBPnjyBnZ0drl27ZtScdNlsqegSzERScWSASi0jI0PjSoIeHh5ITEw0cEZE+nPz5k34+/srj0NDQ/HFF18YLZ9GjRohKipKUtvTp0+jdevWMmdEloTFAJVa4c1X6mRnZ+t0JzSRKcrPz0fNmjXx4MEDAAXLGz979gx2dnZGyUWX8+bn55vEUxFkHviTQqWyadMmjYXA3r17WQiQRbC1tcX9+/exZMkSAAUraNrb20v+C13fuRw7dkxy+6JLLxOVhCMDpLO0tDSUK1dObczb2xvx8fEGzohIfrGxsfDz81Mez5gxAzNnzjR4Hi1btsS5c+cktT127Bg6duwoc0ZkCVgMkM603amck5Oj053PRCblxg3gwAHg778LPq5dA/LzgdmzgWnToFAo4Ofnh7i4OAAFf61nZmYa9GdeoVDo9HRDXl6eUZ+GIPPAaQLSyXfffacx9vvvv7MQIPO2ahUwbhywaRMQFVVQCBRhY2ODf/75B99++y2Agnl5BwcHXLx40WAp2tjY4NSpU5LbN23aVMZsyFKwGCDJUlJSMHLkSLUxPz8/roBG5q9hQ2DiRGDLloJRgQ8+UNssJCQEt2/fVh43a9YMn3/+uYGSLLgfoEOHDpLaXrlyBYcPH5Y5IzJ3nCYgybRND+Tm5hrlDmsiWQ0eXDBK8P/TBM8TRRFBQUEq6xBkZWVp3LBLn0RR1OlpAf4/StpwZIAkWbFihcbYoUOH+EuGrJIgCIiOjsaaNWuUrzk5OeH8+fMGObfUGwkBICAgQMZsyNyxGKASPXv2DB999JHaWKNGjfDyyy8bOCMi0zJs2DDcvXtXedyiRQtMmDBB9vM2b94c3bt3l9Q2JiYG+/btkzkjMlcsBqhEFStW1Bgz5I1TRKasRo0aUCgUyhv2lixZAkEQkJWVJet5dbnAv/rqq8jNzZUxGzJXLAZIq0WLFmmMHTt2jI8sERUhCAIuXLiATZs2KV9zdnbGmTNnZD3npUuXJLf39fWVLRcyXywGSKOkpCSNW7i2aNGCi5kQaTBw4EDcv39fedymTRuMGTNGtvM1adIEvXr1ktT23r172Lt3r2y5kHliMUAaVa5cWWNMzr90iCyBl5cXFAqFclnglStXQhAEZGRkyHK+3bt3S2775ptvIjs7W5Y8yDyxGCC15s6dqzF26tQpboBCJIEgCDh16hS2bt2qfM3V1RUnT56U5Vy67Jng7e2t9xzIfPE3OhWTkJCAqVOnqo116NCBG6AQ6ah///54+PCh8rhDhw4YNmyY3s8TFBSEd999V1LbpKQk/Pjjj3rPgcwTiwEqpmrVqhpjuuyaRkT/qVq1KhQKBTp37gwAWLduHQRBQFpaml7Ps23bNslt+/XrJ/vTDmQeWAyQihkzZmiM/fXXX1pXISQi7QRBwJEjR7Br1y7la+XKlcORI0f0ep4bN25Ibuvh4aHXc5N54nLElmLLFmD/fuDyZeDBA+DpU8DFBfD3B3r3Bj76CHBz09rFgwcPUL16dbWxbt264cCBA3JkTmQ6LlwAQkL+O46NBRITgRo1gKJz7Lt3A15eZTpVYmIiqlSpojx+//33sXnz5jL1WdTQoUOxYcMGSW03b96M999/X2/nJvPDYsBStG8PnDoFBAQANWsClSoBjx4Bp08DmZmAnx9w7Big4WIPaN97QKFQcFSALN/Ro0CXLiW3i4sDatfWyymDg4Oxf/9+5XFycjLc3d310rcu/8+mp6fDxcVFL+cl88NpAkuxaFHBXzBXrwIREcDWrcDhw8DduwWFQkwM8OmnGt8+efJkjbGLFy+yECDr0LkzIIolf+ipEACAiIgI7NmzR3lcvnx5vY3CxcTESG7rVsLIIVk2jgxYgxMngI4dC0YLkpKKhePj41GzZk21b33jjTe4QAmRATx58kRl/v7tt9/Gzp07y9xvSEgIVq1aJantunXrMHTo0DKfk8wPiwFrcPo00LZtwRxnkVXRCnF6gMh0vPnmmyoF+NOnT1GhQoUy9anL/8MpKSkoV65cmc5H5ofTBJYuNRWYObPg8zfeKBYeP368xrdGRUWxECAysD179uD3339XHlesWFHluDRu374tua2+7lcg88KRAUtz4EDB/QIKxX83EKamAsHBwPbtQPnyyqa3b9/WuGlJv379sGPHDkNlTUTPSU5OVhkRKOuU3YQJE7BkyRJJbVetWoVRo0aV+lxkflgMWJqlS4FPPlF9bcAAYPFi4LnFhLT91c8fCyLT8M4776jcO5CUlIRKlSqVqi9dRvqePXuG8kX+eCDLxmkCSzN+fMHdzjk5BU8QLFoE7NsHBAYCx48rm40ePVpjF9euXTNAokQkxY4dO1SeLvDw8FB5+kAX8fHxktuW9T4FMi8sBiyVvT1Qty4wYUJBMfD0KfD++0BmJmJjYxEWFqb2bQMHDkSDBg0MnCwRadOtWzekpKQoj3v37o1XXnlF5368vb0xZcoUye2XLl2q8znIPHGawFo0bFiwBsHx4xA6dtTYjD8ORKZt0KBB+P7775XHCQkJKisZSqHLdEFZpiXIfHBkwFq4ugIAVkyfrrHJrVu3DJUNEZXSpk2bVPYy8PT01Hn3wQcPHkhuy70LrAOLAWuQmFiwZwGA1UePqm0yYsQI+Pn5GTApIiqtzp07q+x22K9fP3Ts2FHyyF61atXw5ZdfSj7f/Pnzdc6RzAunCSxBdDRw8SLQty/g5KQau3kTGDkSOHoUpwG01dAFfwyIzNOIESOwZs0a5fHDhw+1bkNelC7TBaWZjiDzwWLAEhRuruLqCjRtWrDDWk4OcOdOwS5sCgXi3d3RNiUFd9W8PS4uDrX1uNY6ERnWyZMn0aFDB+Xxli1bMGDAgBLf9/jxY3h6eko+Dy8XlovTBJYgKAgIDQU6dADi44FffgF+/bXg85dfxr3//Q91NRQC48aNYyFAZObat2+P9PR05fF7772HVq1alXjxrlKlCr766ivJ55k1a1apcyTTxpEBCyeKImxsNNd8/PYTWZaxY8fi22+/VR7fu3cP1bVsXQ7oNl3w4MEDVKtWrdT5kWniyICF6927t8bY3bvqxgqIyJytWLECp0+fVh57e3tj48aNWt+TpGY3U028vLxKmxqZMBYDFuzSpUsa1zKfPHkyatSoYeCMiMgQWrdujczMTOXxkCFD0LhxY40jgZUqVZK8bwEAfPHFF2XOkUwLpwksFKcHiAgAJk6ciEWLFimP79y5g5o1a6ptq8t0QXx8PLy9vcucH5kGjgxYqB49emiM3b9/34CZEJExff311zh//rzy2MfHB999953ats+ePZPcL0cWLQuLAQt0/vx57N+/X21s+vTpnPMjsjIvvvgisrOzlccjR46Ev79/sRHC8uXLY+XKlZL7nTBhgt5yJOPiNIGF4fQAEWkzdepUzJ07V3n8/Dojly9fxgsvvCC5v9u3b6NWrVp6zJCMgSMDFqZLly4aY48ePTJgJkRkikJDQ3Hp0iXlsa+vr/JRxNTUVLz99ts69cd1SiwDiwELcubMGRw7dkxtLDQ0VKeVxojIcjVp0gQ5OTmwt7cHULA2gY+PD0aNGlWqDctCQkL0nSIZGKcJLIRCoYCtra3GOL/NRKTOl19+iZkzZ5a5n5iYGNStW7fsCZFRsBiwEK1bt8bZs2fVxhITE7kNKRFptH37dvTv37/M/fByYr44TWABTpw4obEQWLhwIQsBItIoLS1NLyMDADB06FC99EOGx5EBM5efnw87OzuNcX57iUgTURQxaNAgbN68WW99Pn78GE5OToiJiUF2djYcHR3h5+cHNzc3vZ2D9E/zVYTMQrNmzTTGnjx5YsBMiMjcbNy4Ua+FAAAEBgYiMTFR5Q8RQRDg7++Pbt26YdSoUQgMDNTrOansOE1gxg4fPozIyEi1seXLl6NixYoGzoiIzMXVq1cREhKi0xLEUtja2mLdunU4c+YMIiMjcebMGaxbtw5dunTBjh07EBQUhB49eiAuLk6v56Wy4TSBmcrLy1M+FqQOv61EpEl6ejqaN2+O69ev673vli1baryHKScnB7t27cKUKVOQlJSEpUuXYtiwYXrPgXTHkQEzpW2YLTk52YCZEJG5mTdvniyFAAC0adNGY8zBwQEDBgxAVFQU+vfvj+HDhyM0NFSWPEg3vGfADEVERGhcGGT16tVwd3c3cEZEZE46duyIP/74A5GRkUhPT9dbv25ubhgzZkyJ7cqVK4c1a9bAx8cH06ZNQ7Vq1fDhhx/qLQ/SHacJzExubi4cHBw0xvntJCKpFAoFbt++jcjISFy+fBmRkZGIjIxEbGyszr9LqlWrhl27dqFdu3aS3yOKIkaMGIFt27bhypUr8PX11fVLID1hMWBmfHx8cPfuXbWx1NRUPr5DRGWWlpaGq1ev4vLly7hy5QouX76My5cvIyUlRW37xYsXY8yYMVr/UNEkJSUFjRo1QmBgIPbt21fW1KmUOE1gRn7++WeNhcCGDRtYCBCRXri5uaFVq1Zo1aqV8jVRFHH48GF069YN/fr1gyAIiIyMxJ07d9C8efNSFQIA4O7ujnnz5uG9997DtWvXEBAQoK8vg3TAkQEzkZOTA0dHR7UxW1tb5OXlGTgjIrI248aNw44dO3D37l2tF//jx49j8eLFOH36NJ49ewZPT0+0aNECEyZMQPv27Yu1z87Oho+PD9555x188803cn4JpAFHBsxEjRo1NMY0Dd0REenTwYMH0bdvX62FwLJly/DJJ5/A2dkZvXv3ho+PD+7du4eTJ09i165daosBR0dH9O3bF4cOHZIzfdKCxYAZCA8Px+PHj9XGtmzZAhcXFwNnRETWJjU1FTdu3MBnn32msc3ly5cxYcIEeHl54c8//0Tt2rWVMVEU8eDBA43vbd68OcLCwpCWlsYpTyPgOgMmLisrC2+99ZbamKurKwYMGGDgjIjIGhU+YaBtjZPVq1dDoVBgzpw5KoUAULAkcfXq1TW+NygoCKIoIiYmRl8pkw5YDJg4T09PjbHExEQDZkJE1iw7OxsAtI5E/vXXXwCAV155pVgsJycH+fn5Gt/r7Oysch4yLBYDJmzbtm1ITU1VG/vxxx/h5ORk4IyIyJR98sknaNCgAd566y3MmjULu3fvRkxMDBQKRZn7LryBOSMjQ2Ob5ORkCIIALy8vAAVTA2vWrEG9evXg7OyMatWqYciQIbh27Vqx92ZmZqqchwyLTxOYqIyMDLi6uqqNeXh4cFSAiIp57bXX8Pvvvxd73cXFBQ0bNkTjxo3RqFEj5X89PDwk952WlgZ3d3esW7cOQ4YMUdumRYsWOH/+POLj4+Ht7Y2QkBCsWrWqWDtbW1uEhIRgxowZyhzWr1+PYcOGISUlhfcMGAGLARNlb2+v8XHB7OzsUj/TS0SW69tvv8XYsWMlt/fy8ipWIAQEBGj86zwgIABdunTBypUr1cbHjBmDlStXYv369QgMDETr1q21nr9ixYqYOXMmRo8ejY8//hhHjx5FdHS05PxJf1gMmKCNGzdqrLx//vlnvP766wbOiIjMwe3bt8u8pK+trS38/f3Rtm1bLFu2TOUegZLWGbhy5QqaNm2KqlWrom/fvli+fLmkc9avXx+PHj3CBx98IPk9pF8sBkxMWloaypUrpzZWs2ZN3Llzx8AZEZE5adSoEaKiosrcj62tLWJjY1GrVi3la9HR0QgKCsKWLVs0Psm0YsUKjBs3rlSLobVv3x5hYWEICgoqU+6kO95AaGI0FQJAwaM9RETa9OzZs8x9ODg4IDw8XKUQAAq2Tg8ODsYXX3yh8ebmsWPH4o8//oCPj4/O5z158iSaNGmCMWPG8L4oA2MxYEK+++47jbF9+/bB3t7egNkQkTkqazHg6uqKiIgI9OrVS2185cqVSExMxIQJEzT20blzZ3z66aelOn9+fj5WrlwJPz8/LFmyBDk5OaXqh3TDYsBEpKSkYOTIkWpj9erVQ3BwsIEzIiJz1Lp1a1SsWLFU761YsSL++OMPdOnSRWMbX19fLF26FGvXrsWcOXM0tnt+0SFdJScnY8KECWjYsCF+/vlnbs8uMxYDJqJ8+fIaY7y7loikOHv2LFq2bImnT5/q/F4vLy+cOHECLVu2LLHtsGHDMGfOHPzvf//D8OHD1U4ZlLUYKHTr1i306tUL3bp1Q2RkpF76pOJYDJiAFStWaIwdOnQIdnbcQoKIisvLy8OKFSsgCAIEQUDr1q1x4cIFnfvx9fXFn3/+qdONe1OnTsWaNWuwbds2NGzYEFu3blUZ0tdXMVDo8OHDaNq0KUaOHInk5GS99k18msDonj17pnFIr1GjRqyEiUjF/fv38dlnn2HLli1q440aNcK8efPQq1cvrcv/FgoKCsLBgweVqwbqKi4uDiEhIYiIiICnpyf69u2L5s2bIygoCK+++iqePHlSqn61adiwISIiIuDt7a33vq0ViwEjEwRBYywvLw+2trYGzIaITNHhw4cxatQojZv4DB8+HKGhoahSpYrytc6dO+PYsWNa+23VqhV+//13VKpUqcw5RkdHIywsDIcOHcL169dln+N///33sXnzZlnPYU04TWBEixYt0hg7duwYCwEiK5WdnY25c+cqh/+7du2qUgjY29tj3bp1yM/PhyiK+O6771QKAaDkpwpefvllHDp0SC+FAFDw2OE333yD6OhopKSk4OLFi+jatate+lZn27ZtePbsmWz9WxsWA0aSlJSEiRMnqo21aNECHTt2NHBGRGRM//zzD9544w0IggAnJydMnTpVJd6hQwdcunQJoigiJycHQ4cOhY2N5l/h2oqB3r1747fffpNtDwA3Nze88MILePHFF2XpHyh4BJH3DugPiwEjqVy5ssbYmTNnDJgJERmDKIrYvXs3PD09IQgC6tati19++UWlzaeffork5GSIoojjx4+jSZMmkvv39/dHnTp1ir0+aNAg7Ny50yC7A+r7JsKinJycSv0IJRXHYsAI5s2bpzF26tQprdU+EZmv1NRUTJ48GYIgwMbGBn369MHjx4+VcQ8PD/z4449QKBQQRRFff/013N3dS3UuQRCKjQ6MGzcO69evN9gTSmXdJ0Gbfv36lfrfhorjDYQGlpCQgKpVq6qNdezYscQbfojIvERFRWHMmDE4fvy42vhrr72GJUuWoF69eno/98GDB/HKK68AAGbMmIEZM2ZovWlZ327cuIEGDRrovd8WLVrg4MGDWtdnId2wGDAwbf8jKhQKg/6PSkT6p1Ao8P3332PUqFHIzs5W2+bLL7/EpEmT4OzsLGsuOTk5GDhwIDp37oxRo0bJei51srKy9P41jhw5EgsXLtS6jwvpjqvZGNCMGTM0xs6dO8dCgMhMJSUlYdq0aQgLC1Mb9/X1xapVq9C9e3eD5uXg4IDt27cb9JxFOTk5wcvLCw8ePChzXzVr1sS6devQrVs3PWRGz+PIgIE8ePAA1atXVxvr3r07IiIiDJwREZXFmTNnMHr0aFy6dEltvH///liwYAFq1Khh2MRMTNu2bXH69Oky97Njxw7069dPDxmROiwGDITTA0TmLS8vDytXrsTHH3+ssc3SpUsREhLCHUaLGDBgALZt26aXvnJycvhvKxPetm4AkydP1hi7dOkSCwEiE3Xv3j0MGDAAgiDA3t6+WCHQpEkT/PnnnxBFEaIo4uOPP+bF6jn6fKKgbt26euuLVLEYkFl8fDwWLFigNtarVy+dnhsmIvkdPHgQdevWhSAIqFGjRrG/akeOHInHjx9DFEVcunQJbdu2NVKm5kGfaw3cvXsXv/76q976o/9wmkBmnB4gMm1ZWVlYuHAhpk+frjbu4OCAsLAwDBo0iGuAlMJff/2FVq1a6bXP7OxsODg46LVPa8efbBmNHz9eYywqKoqFAJGRxMTEoGfPnhAEAc7OzsUKgQ4dOuDy5csQRRHZ2dkYMmQIC4FSatGiRYmjA9WrV8fixYsl91mrVq0yZkXP40+3TG7fvo1ly5apjfXr10+nfcOJqGxEUUR4eDiqVKkCQRBQr149/PbbbyptJk2ahJSUFOXSv40bNzZStpZFEARs2LBB41/ygwYNQlRUFD755BPJTws8fPgQu3fv1meaVo/TBDLR9lc//8mJ5JeamopZs2bh66+/VhuvXLkyVq9ejd69e3OUzgBOnTqFWbNm4Y8//kB+fj66deuGCRMmKFdIBAp+N+oyApOVlWWQPRasARcdksHo0aM1xq5du2bATIisS2RkJMaOHYsTJ06ojffs2RNLliyBn5+fgTOjtm3bKtdTEUVRbQEmCAKio6MRGBgoqU9vb28kJibqNU9rxWkCPYuNjdW4CtnAgQNlWaebyFopFAqsX78eDg4OEAQBTZo0KVYIzJ49G5mZmRBFEb/88gsLAROgbSQmICAA7733nqR+kpKSsGvXLn2lZdU4TaBnnB4gkldiYiKmTp2K7777Tm28bt26WLVqFZetNXO6TN1kZmbCyclJxmwsH0cG9GjIkCEaYzExMQbMhMiynDp1Ck2aNIEgCKhSpUqxQmDAgAGIj4+HKIqIiYlhIWABbty4Ibmtp6enjJlYBxYDenLjxg1s3LhRbWzUqFFcOYtIB7m5uVi6dCkEQYAgCGjXrh0iIyNV2ixbtgy5ubkQRRFbtmyBt7e3kbIlOdSvX1/rH1hFpaamGnVDJkvAaQI94fQAUdnEx8dj0qRJGn+pN23aFN9++y3atGlj4MzImHSZLsjIyJB9W2hLxZEBPXj33Xc1xm7fvm24RIjMzP79++Hr6wtBEFCzZs1ihcCoUaOQmJgIURRx4cIFFgJWSJcp1kqVKsmYiWVjMVBGUVFR2LFjh9rY+PHjuVIWURGZmZmYNWuWcvg/ODhYpWB2dHTEhg0bkJ+fD1EUsWrVKnh4eBgvYTK6unXrYsSIEZLaZmVl4YcffpA5I8vEaYIyKGmBDP7TEgG3bt3Cxx9/jH379qmNd+rUCcuXL0ejRo0MnBmZE12mC9LT0+Hi4iJjNpaHIwNl0Lt3b42xu3fvGjATItMhiiJ+/PFHeHh4QBAE1K9fv1ghMHnyZOXSv0ePHmUhQCX6559/JLctV66cjJlYJhYDpXTp0iXs3btXbWzy5MmoUaOGgTMiMp6UlBR8+umnEAQBNjY26NevH548eaKMe3p64qeffoJCoYAoivjqq6/4C5t04uvrizFjxkhqq1AoND7dRepxmqAUOD1ABFy+fBljxozBn3/+qTb++uuvY8mSJXyslvRKl+mCtLQ0uLq6ypiN5eDIQCn06NFDY+z+/fsGzITIcBQKBdatWwc7OzsIgoAXXnihWCEQGhqqXPr3559/ZiFAeqfLE1pubm7yJWJhWAzo6Pz589i/f7/a2PTp0+Hl5WXgjIjk8/jxYwwfPhyCIMDW1hbDhg1Dfn6+Mu7n54eDBw9CFEWIoogvvviCy8KSrGrVqoXx48dLbr927Vr5krEgnCbQAacHyBr8+eefGD16NK5cuaI2/t5772HBggWoXr26gTMj+o8u0wUpKSm8R6UEHBnQQZcuXTTGHj16ZMBMiPQnNzcXixcvVj773759+2KFwPLly5VL//7www8sBMjodHliy93dXcZMLAOLAYnOnDmDY8eOqY2FhoZyowwqvRs3gOXLgcGDgUaNADs7QBCAOXNkO+Xdu3fxzjvvQBAEODg44NNPP1WJN2vWDGfOnFEO/48dOxZ2dnay5UOk1uDBBf8vqPmoUbMmRACOErtavXq1jImaP04TSKBQKGBra6sxzn9CKpPx44Fly4q/Pns2MG2a3k4TERGBkSNH4s6dO2rjISEhmD17Npd0JdMxeDCwaRPQrh3g56e2if2mTciT2F1ycjJHCTRgqS9B27ZtNcYSExMNmAlZpIYNgYkTgaZNgWbNgLlzgc2by9xtZmYm5s+fjy+//FJt3NnZGWFhYXj//fe13gtDZHTDhhUUBmr8O3eu5B0ry5cvzz/eNOBvgBKcOHECZ8+eVRtbtGgR102nshs2DFi4EBgwAGjQACjDhfnmzZvo0aMHBEGAi4tLsUKgc+fOuHLlCkRRREZGBgYOHMhCgMxa9erV8cUXX0huv2LFChmzMV/8LaBFfn4+OnbsqDE+YcIEA2ZDVJwoitixYwcqVqwIQRDg7++PiIgIlTaff/45UlNTIYoijhw5goYNGxopWyJ5hIaGSm770Ucf4dmzZ/IlY6Y4TaBFs2bNNMaePn1qwEyI/pOcnIyZM2di6dKlauNVq1bF6tWr8cYbb+j0+BWRyTpyBLhyBUhNBTw8gJYtgVdfBRz/u33wwYMHktd5qVixIqcLnsORAQ0OHz6MyMhItbHly5ejQoUKhk2IrNrFixfRtm1bCIKAChUqFCsEevXqhdjYWIiiiIcPH6JXr14sBMhyfP89sHgxsGYN8NVXQJ8+gK8vUGQUrFq1apgxY4bkLjUV09aKTxOokZeXB3t7e41x/pORrP7/DurzvXqh1S+/QKFQqG02d+5cTJgwAY6OUh+uIjIzS5YAtrbAyy8DPj5AZiZw+TIwcyZw6hRgbw8cOAB07qx8iy5FcFJSEp+e+X8sBtSoX78+bt26pTbGR1NILgkJCZgyZQo6rF+PwQCmASg6E1q/fn2sWrUKL730knESJDIVogj07g3s3Qs0aQJcuqQMJSQkoGrVqjp0xUsgwGmCYiIiIjQWAqtXr2YhQHp14sQJNGzYEIIgoGrVqli/fr1K/IMPPsD9+/chiiJu3LjBQoAIKFh4qPBJmcuXgSKrEXp6emL27NmSu1q4cKG+szNLHBkoIjc3Fw4ODhrj/KeissrNzcU333yDiRMnamwT3aoVAs6e1fuiQ0QWJSfnvxsIT50C2rRRCesyXZCYmGj1j4lzZKAIbdutpqamGjATsiR37tzB22+/rVz69/lCoHnz5jh79qxy6d+ABg2MlCmRGUlK+u9zNZsQPX78WHJXlStX1kdGZo3FwP/7+eefNW58sXHjRu6LTZKJoojffvsNNWvWhCAIqFWrFnbt2qXSZsyYMUhKSoIoijh37hxatmxppGyJzNT27QX/dXcH/P2LhStXroyvvvpKcnfz5s3TV2ZmicUAgJycHPTq1UttzM7ODoMGDTJwRmRuMjMzMWPGDAiCABsbG/Ts2RPx8fHKuIuLCzZv3gyFQgFRFLFixQrexUykzaVLwM8/A3nP7TygUADr1gGFqw6OG1fwVIEakydPlny6L774QqfRBEvDewZQcMOJph+C9PR0uLi4GDgjMgcxMTEYN24c9u3bpzb+0ksv4ZtvvkFQUJD2ji5cAEJC/juOjQUSE4EaNYCia67v3g1IXFSFyOzt2VPwxEDFigV7dlStCjx7BkRFAYWbbfXvX7AGgZYdNZ88eaLT/QDWekm0+pGB8PBwjYXA1q1bWQiQkiiK2L17Nzw9PSEIAurVq1esEPj888+RlpYGURRx+PDhkgsBAEhJAc6e/e+jcPOr+HjV17OzZfiqiExUkyYFO3oGBQHXrwM//QQcPlwQe+st4LffgK1btRYCAFCpUiV8/fXXkk87a9asMiRtvqx6ZCArKwvOzs5qY25ubrxpkJCeno7Q0FCN84mVK1fG6tWr0bt3b674R2TCdPn/8+HDhzqtVWAJrLoYcHd313jBz8zMhJOTk4EzIlNw48YNfPTRRzh48KDaeI8ePbBs2TLUq1fPwJkRUWk9ffpUp/t0rO3SaLXTBNu2bdNYCOzatYuFgBURRRE7d+5U7vzXoEGDYoXA9OnTkZ6eDlEU8fvvv7MQIDIzFStWxLJlyyS3n2Zla3xY5chARkYGXF1d1caqVKmChIQEA2dEhpaamorZs2drXH3My8sLq1evRs+ePTn8T2RBdPn/+d69e6hevbqM2ZgOqywG7O3tkff84yr/Lzs7W+sqhGS+rl69irFjx+Lo0aNq42+88QaWLFmCOnXqGDYxIjKY5ORknXadtZZLpNVNE2zatEljIfDzzz+zELAgoihiy5YtcHNzgyAIaNiwYbFCYNasWcjMzIQoiti7dy8LASILV758eaxcuVJye21Lh1sSqxoZSEtLQzk1y1YCQM2aNXGn8NlVMlvJycmYOXOmxr3Ka9asidWrV6NHjx6GTYyITIou0wX//vsvfHx8ZMzG+KyqGND2zc/JyYG9hlWsyLRFRkYiJCQEf/75p9p4nz59sHjxYtSqVcvAmRGRqUpNTdVpF1pLv1RazTTBd999pzG2b98+FgJmRKFQYOPGjXB0dIQgCGjSpEmxQmDevHnIysqCKIoIDw9nIUBEKsqVK4e1a9dKbj927FgZszE+qxgZSElJQfny5dXG6tWrh5s3bxo4I9LV06dP8b///Q/ffvut2nidOnUQFhaGbt26GTgzIjJnukwXxMbGWux9RVZRDGj7Zufm5sKuhOUsyTguXLiAkJAQnD17Vm38nXfewddff40aNWoYODMishTp6ek67UprqZdMi58mWLFihcbY4cOHWQiYEIVCgbVr18LW1haCIODFF18sVggsXLgQ2dnZEEUR27dvZyFARGXi6uqK77//XnL7Dz/8UMZsjMeiRwaePXuGihUrqo01btwYly9fNnBG9LykpCRMnToVq1evVhv39/dHWFgYOnfubNjEiMiqODk5IVviZmA3btxA/fr1Zc7IsCy6GNA2PZCfnw8bG4sfGDFJf/31F0aPHo0LFy6ojb/33ntYuHAhvLhdLxEZSGZmpk671FrapdNir4aLFi3SGDt+/DgLAQPKz89HWFgYBEGAIAho1apVsUJg6dKlyM3NhSiK+OGHH1gIEJFBOTs7Y8eOHZLbDxgwQMZsDM8iRwaSkpJQuXJltbFWrVrhzJkzBs7I+jx+/Biff/451q9frzYeFBSEVatWoUOHDgbOjIhIs0qVKuHp06eS2l69ehWBgYEyZ2QYZvXn8U8//YTAwEB4e3tj0qRJGncd1FQIAMCpU6fkSs/qnTp1Co0bN4YgCPD09CxWCAwePBgPHz6EKIqIiopiIUBEJufBgweS2wYFBVnMdIHZFAM3btxA3759ce3aNdy/fx9ff/01GjdujCNHjqi0mzdvnsY+Tp8+zekBPcrLy8Py5cuVw//t2rXDlStXVNqsWLFCOfy/YcMGVK1a1UjZEhGVzNHREbt375bcvk+fPjJmYzhmM00wZ84c/O9//1MbGzt2LL766iukp6drvNh06tRJ4251JN3Dhw/x2WefYfPmzWrjL7zwAlauXIk2bdoYODMiIv2pXr265FGCS5cuoUmTJjJnJC+zKQYGDx6MTZs2aYzXrVsXsbGxGuMKhYL70pfS8ePHMWrUKFy7dk1tfPjw4Zg7d67W6RkiInOSm5ur0y625n6NMZsx87i4OK1xbYXAuXPnzPqbZGi5ublYvHixcvi/U6dOxQqB1atXIy8vD6Io4rvvvmMhQEQWxd7eHr/99pvk9q+++qqM2cjPbEYGfHx8cPfuXZ3f1717d0RERMiQkWW5f/8+Jk6ciG3btqmNt2jRAitXrkTz5s0NnBkRkfH4+flp/WOzqPPnz+PFF1+UOSN5mEUxkJ2dDWdn51LdtZmZmQknJycZsjJ/f/zxB0aOHImYmBi18dGjR2POnDmoVKmSgTMjIjINeXl5Ou1qa67TBWYxTXDnzp1SP77x4osv4vz583rOyDzl5ORgwYIFyuH/l19+WaUQsLOzw/r165Gfnw9RFLFy5UoWAkRk1ezs7HDw4EHJ7bt06SJjNvIxi2KgpPsFtImOjkbr1q3xv//9Dzk5OXrMyjzcvXsXb7/9NgRBgKOjIyZPnqwSb9OmDS5cuABRFJGbm4shQ4bw8UsioiK6du2KoKAgSW2PHTtmlgvbmcVv/bIUA0DBcrhz5sxBixYtEBUVpaesTNeBAwdQu3ZtCIIAHx8f7Nq1SyX+0Ucf4enTpxBFEadOnULTpk2NlCkRkXnQZWO7Nm3aQKFQyJiN/llFMVAoMjISL730UqluRDRl2dnZCA0NVQ7/d+/eHf/++68y7uzsjO+//x4KhQKiKOKbb75BhQoVjJcwEZGZsbW11WmtGnNba8WqigGgYM18XVaXMlW3b9/Gm2++CUEQ4OTkhGnTpqnEO3bsiMjISIiiiIyMDHzwwQdmeVMLEZGp6NSpk+Qnqv766y8cP35c5oz0x+qKAQA6LSRhKkRRxG+//YYaNWpAEAT4+vpi7969Km0mTJiA5ORkiKKIY8eOoVGjRkbKlojIMp09e1Zy206dOiE/P1/GbPTHLIqBf/75R299+fv74+2339Zbf3LKzMzEzJkzIQgCbGxs0LNnT9y7d08Zd3d3x7Zt25TD/4sWLYK7u7sRMyYismw2NjY6bXhnLvdkmXwxkJqaiqSkpDL3IwgChg0bhpMnT8LDw0MPmckjNjYWPXv2hCAIcHFxwZdffqkSf+mll3D16lWIoojk5GS8++67HP4nIjKgNm3aSN519cqVKzh8+LDMGZWdyS86FBkZWeYNIF5++WUsWrTIJDeSEEURe/fuxciRI5GQkKC2zeTJkzFt2jS4ubkZODsiIlJHFEWdHsPOzc2FnZ2djBmVjcmPDJRliqB+/fr4+eefcfDgQZMqBDIyMjBt2jTl8H/v3r1VCoFKlSrhxx9/VA7/f/XVVywEiIhMiCAIOHfunOT2AQEBMmZTdiZfDJTm5sGKFSti2bJliIqKwuuvv24Sw+g3b95E9+7dIQgCXF1dERoaqhLv3r07bty4AVEUkZSUhLfeessk8iYiIvWaN2+OV155RVLbmJgY7Nu3T+aMSs90xyz+ny7FgJ2dHcaMGYPp06cbfRldURQRHh6OkSNH4smTJ2rbTJ06FVOmTIGrq6uBsyMiIn2IiIiQPF3w6quvIicnR6e9DgzF5EcGpE4TvPHGG7h69SqWLl1qtEIgLS0NkydPVg7/v/322yqFQNWqVbFnzx7l8P+cOXNYCBARmTFBEHDp0iXJ7X19feVLpgxMvhgoupKeOk2aNMHhw4exd+9e1K9f30BZ/Sc6Ohovv/wyBEFAuXLlsGDBApX4a6+9hpiYGIiiiIcPH6JXr14c/icisiBNmjRBr169JLW9d+9esTViTIHJP03QqVMntas4Va1aFaGhoRg8eDBsbW0Nlo8oiti+fTtGjhyJ1NRUtW1mzpyJzz77DM7OzgbLi4iIjEfXpwuysrLg6OgoY0a6MfmRgQ8//FDl2MnJCVOnTsWtW7fw4YcfGqQQSElJwYQJE5TD/wMGDFApBLy9vfHrr79CFEWIoogZM2awECAisiKCIOi0EV716tVlzEZ3Rh0ZSEtLQ0xMDLKzs+Ho6Ag/Pz+1j9Dt3bsXe/bsQd26dfHBBx+gVq1asud25coVjBkzBidOnFAbf/PNN7FkyRLUrl1b9lyIiMg89O/fH9u3b5fUdufOnejRo4ek66DcDF4MREdHIywsDAcPHlQ+SqdMRhDg7++Pbt26YdSoUQgMDDRYXqIoYvPmzRg5ciSysrLUtgkNDcWnn35qUkM7RERkWspyX5ixroMGKwbi4uIQEhKCiIgIeHp6om/fvmjRogUCAwPh4uKCjIwMREdH49y5cwgPD0dCQgKCg4OxcuVK2e6+fPbsGaZPn47ly5erjdeuXRthYWHo3r27LOcnIiLLc/PmTfj7+0tq6+DggOPHjxvtOqgkGsCaNWtEV1dXsVatWuKWLVvE7Oxsre2zs7PFLVu2iD4+PqKrq6u4Zs0aveVy8eJFsU2bNiIAtR9vvfWW+O+//+rtfEREZDrmzJkj1q9fX3z//ffF6Oho2c4zZMgQjdeZ5z82b95c7P1yXgfVkb0YmDNnjghAHDZsmJiSkqLTe1NSUsRhw4aJAMQ5c+aU6vz5+fniunXrRDs7O43fiPnz55dYoBARkXm7ffu2yu9+QRDEAQMGiNeuXZPlfFKLAQBienq62j70cR2UlKtsPYsFIwIAxNmzZ5epn1mzZokAxLVr10pqn5SUJI4ePVrjP3q9evXEw4cPlyknIiIyLydPnlR7TbCxsRHfe+898fr163o9X2xsrORioEOHDqIoimJcXJwIQBw0aJBKX7peB3UlWzHwzz//iK6uruKwYcPK3JdCoRCHDRsmurq6iv/884/aNufOnRObN2+u8R+6f//+Ynx8fJlzISIi86SpGChaFLz//vvijRs39HK+f/75R+uodNEPd3d3MTU1VWMxIOU6WBayrTMQEhKCypUrY/HixWXuSxAELFq0CB4eHggJCVGJxcTEQBAEtGjRAufPn1eJLV68GDk5ORBFEVu3boW3t3eZcyEiIsukUCjwww8/ICAgAAMHDsStW7fK1F9ISIjk605KSgr++OMPjXFt10F9kKUYiI6ORkREBObOnYty5crppU93d3fMmzcPERERuHbtmvL1R48eKT8PCAjAsWPHlIv/fPLJJya5IQSR2cnNBQ4fBiZNAlq0ACpUAOztgWrVgDfeAH77zdgZEpVIlPjwnEKhwObNmxEQEIDBgwcjJiZG53MVvQ7evn1b0ntycnK0xjVdB/VBlmIgLCwMnp6eeOutt4rFcnJysHz5cnTv3h01a9aEo6MjPD090adPH1y8eFFrv3379oWnpydWrVqlfK1du3bKi390dDQ6duyo96+HyOodOwZ07Qp8/TUQHw+0bw/06QNUqQL88gvQsycwciRg2qubE+kkPz8fmzZtQoMGDTBkyBDExsZKfm/R62CtWrXwySeflPies2fPQqFQaG2j7jqoD7IUAwcPHkTfvn3h4OBQLPbkyROMHz8e2dnZePXVV/HJJ5+gc+fO+P3339G2bVucO3dOY7+Ojo7o27cvDh06JEfaRKSJjQ3Qty9w/Djw4AHw66/Ajh3AlSvA9u2ArS3w3XfA5s3GzpRI7/Lz87Fx40b4+/tj6NChkoqC56+DixcvRteuXTW29/Pzw8aNG/Hxxx9r7Ve266C+b0JISUkRBUEQ169frzaelZWl9ka+qKgo0c3NTezatavW/tetWycKgiCmpqYWiyUmJorTp0/X6XEOfvCDH2X/WAOIIiAeNIFc+MEPuT9sbW3FoUOHik+fPtXpOpiXlyeOGDGiWH9vvvmmmJmZKcbHx4uVK1cWgeI3EEq9DpaW3ouBixcvigDEM2fO6Pze119/XXRwcBBzcnI0tjlz5owIQLx48aLa9xv7h4Qf/LDGjxAUFAPXTSAXfvDDUB+9evUq1XWwb9++IgDxww8/FC9fvqwSmz17tghoLwa0XQdLyw56lp2dDQBwcXHR2ObSpUtYsGABTp48iYcPHyI3N1clnpiYCC8vL7XvLdwNsPA8RcXHx5c2bSIqg3r//98HRs2CyLA0XXNKug7GxcUBAObNm4cqVaqoxDp06FDiebVdB0tL78VA4SY+GRkZauOnTp3CSy+9BAB45ZVXUK9ePbi5uUEQBOzZsweXL1/W+gVmZmaqnKeoJUuW4KOPPsKVK1fK+mUQkURVAQz+/8/DjZgHkSF5eXlh6dKlamMlXQeTk5NhY2ODypUrF4tVrVq1xHNruw6Wlt6LAT8/PwiCgOjoaLRq1apYPDQ0FNnZ2Thx4gTat2+vEjtz5gwuX76stf+rV69CEAT4+fkVi3Xq1AmRkZFl+wKISLq8PCA4uOCxw0aNsPz8eSxXc+MwkSk4duwYOnfuXKY+vLy8MGXKFAwbNkz5F/rzSroOli9fHgqFAomJicVGBoo+Lq+Jtutgaen9aQI3Nzf4+/trfCogNjYWlSpVKlYIZGRk4MKFCyX2f/78eTRo0MAo+z0T0XNGjSooBDw8gF27ABYCZKGqV6+O5cuX459//sFHH32ksRAASr4ONmnSBABw4sSJYjF1rz1PjuugLI8WduvWDeHh4WoXUKhVqxaePn2Kq1evKl/Lz8/HxIkT8fjxY639ZmdnIzw8XOvjGURkIB9/DKxbB1SsCBw8CNSvb+yMiLQSS7EOhre3N1asWIHY2FiMHTsWTk5Okt6n7Tr4wQcfAABmzZqF9PR05ev37t3DsmXLtPYr23VQb7ciFnH16lURgLhly5ZisV9++UUEIFaoUEEcMWKEOG7cOLFx48aih4eH2LlzZxGAGBcXp7bfLVu2iABk3XaSiCSYMEEUAVGsUEEUz50zdjZEkhw5ckTykwLe3t7it99+K2ZmZpbqXNqug6L43xbHvr6+4oQJE8QxY8aIlStXFnv27Kn1aQK5roOybVQUHBws1qpVS+22xbt27RKbNWsmuri4iJUrVxb79esnxsbGioMGDdJYDCQnJ4s+Pj5icHCwXCkTkRSTJhUUAuXLi+Jffxk7GyLJ/vjjjxKLgBo1aogrV64Us7Kyynw+bdfBvLw8cd68eWKdOnVEBwcHsU6dOuLcuXPFmJgYjcWAnNdBi9m1kIgMYPJkFgJktrQVAzVr1hRXrVqllyKgkDldB2UrBkRRFNesWSMCEGfPnl3qPhQKhez7OBORBFOn/jc1wEKAzNBff/2ltggICwvTaxFQlLlcB2UtBkRRFOfMmSMCEIcNG6Z2qESb5ORkcdiwYSIAMTQ0VKYMiahEe/cWFAKAKDZvLoqDBqn/+PRTY2ZJpFV+fr7YoUMHEYDo4+Mjrl69WszOzpb9vOZwHZS9GBDFgsrI1dVV9PHxEbds2VLiP35WVpa4ZcsW0cfHR3R1deWIAJGxbdjwXzGg7aNWLWNnSqRVfn6+ePfuXTEvL8+g5zX166AgiobZczQuLg4hISGIiIiAp6cn+vbti+bNmyMoKAjOzs7IzMzE1atXcf78eYSHhyMhIQHBwcFYuXIlfH19DZEiERGRbEz5OmiwYqBQdHQ0wsLCcOjQIVy/fl3luU9BENCgQQN07doVo0ePRkBAgCFTIyIikp0pXgcNXgwUlZaWhpiYGGRnZ8PR0RF+fn5cWZCIiKyGqVwHjVoMEBERkfHJshwxERERmQ8WA0RERFaOxQAREZGVYzFARERk5VgMEBERWTkWA0RERFaOxQAREZGVYzFARERk5VgMEBERWTkWA0RERFaOxQAREZGVYzFARERk5f4PHzGi3xwjxLgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n.delete_link(\"a\",\"b\")\n", "n.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adjacency List\n", "\n", "A network is reprsented by adjacency list or weighted adjacency matrix.\n", "\n", "Printing the network would yield the adjacency list\n", "```python\n", "print(n)\n", "```" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "adjacency list =\n", " {'a': {'c': 1, 'd': 2}, 'b': {'c': 1, 'e': 3}, 'c': {'e': 5}, 'd': {'c': 5}, 'e': {'a': 3}}\n" ] } ], "source": [ "print('adjacency list =\\n',n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adjacency matrix\n", "\n", "We can also see the weighted adjacency matrix. The matrix is accompanied by the list of nodes in the same order as in the matrix.\n", "\n", "```python\n", "matrix, list_node = n.get_matrix()\n", "```" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "matrix = [[0, 0, 1, 2, 0], [0, 0, 1, 0, 3], [0, 0, 0, 0, 5], [0, 0, 5, 0, 0], [3, 0, 0, 0, 0]] \n", "\n", "list of nodes = ['a', 'b', 'c', 'd', 'e'] \n", "\n" ] } ], "source": [ "F,list_node=n.get_matrix()\n", "print('matrix =',F,'\\n')\n", "print('list of nodes =',list_node,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### List of Nodes\n", "\n", "To get the list nodes, use *nodes* property.\n", "```python\n", "n.nodes\n", "```" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nodes = ['a', 'b', 'c', 'd', 'e'] \n", "\n" ] } ], "source": [ "print('nodes =',n.nodes,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Nodes Flow\n", "\n", "To get of dictionary of flows in each node, use *nodes_flow* property.\n", "```python\n", "n.nodes_flow\n", "```" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nodes = {'a': 3, 'b': 4, 'c': 5, 'd': 5, 'e': 3} \n", "\n" ] } ], "source": [ "print('nodes =',n.nodes_flow,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Total Nodes\n", "\n", "The total number of nodes can be access via *total_nodes* property.\n", "```python\n", "n.total_nodes\n", "```" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.total_nodes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### List of Links\n", "We list the links in the network via *get_links* property.\n", "```python\n", "n.get_links\n", "```\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[['a', 'c'],\n", " ['a', 'd'],\n", " ['b', 'c'],\n", " ['b', 'e'],\n", " ['c', 'e'],\n", " ['d', 'c'],\n", " ['e', 'a']]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.get_links" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The total number of links\n", "### Total Links\n", "\n", "The total number of links can be access via *total_links* property.\n", "```python\n", "n.total_links\n", "```" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.total_links" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reversing the direction\n", "\n", "We can reverse the direction of all links. The result is another network.\n", "```python\n", "n.reverse_network()\n", "```" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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FjuMwatQoAECZMmUQEBCARYsWwc/PD1u3btVB1IQQXaMBhIQYqcjISEydOhU+Pj7w8/PTqC4/Pz9ER0djypQp6NKlC40hIMTIUMsAIUbK19cXFStWxMqVKzWui+M4rFixAhUqVICvr68A0RFC9AklA4QYobCwMAQFBWHp0qUKuwaUZW9vj2XLliEoKAiPHj0SpE5CiH6gZIAQI7Rp0yY4OjpiwIABcvfn5+fjp59+gqurK2xsbODq6oply5ZBIpGUWK+3tzccHR2xceNGbYRNCBEJjRkgxAidO3cO3t7exd41MHbsWGzbtg21atXCxIkTkZWVhZUrV+LatWsl1mttbQ1vb2+cP39eG2ETQkRCLQOEGJnU1FQ8efIELVu2lLv/0qVL2LZtGxo3boyQkBCsWLEC69evx/3793Hjxg2F9bdo0QKPHz9GWlqa0KETQkRCyQAhRiYiIgKMsWKnEt61axcAYN68ebC1teVfr1q1KqZMmaKwfk9PTzDG8OzZM2ECJoSIjpIBQoxMdnY2AKB06dJy9wcHBwMAPvrooyL72rZtCwAoaWLSUqVKyZyHEGL4KBkgxMhYW1sDADIyMuTuT05OhpmZGSpWrMi/FhcXhwkTJuDTTz8FABw4cAALFixAbm5ukeMzMzNlzkMIMXyUDBBiZFxdXcFxHMLCwuTud3BwgEQiQXx8PAAgMTERH3/8MTZt2sRf6LOysrBw4UIMHjwYOTk5MseHhoaC4zi4urpq940QQnSGkgFCjIydnR3c3Nxw69YtufsbN24MALhy5QoAYM2aNQgJCZFb9vDhw6hevbrMa7dv30b9+vVhZ2cnYNSEEDFRMkCIEerWrRsOHTpU5K96ABg+fDgAYNGiRUhPT8eBAwdKrCs2NhaHDx8GUDBO4NChQ+jatavwQRNCREPJACFGaPz48YiNjcXBgweL7OvcuTNGjx6N4OBgNGzYEDExMQrr8/b2RlZWFg4dOoTY2FhMmDBBG2ETQkTCsZKGDRNCDFbPnj3x6NEjhISEFJmSOD8/H7/88gsCAgIQFRWlcOZBoGAFw3LlysHDwwOnT5/WVtiEEBFQMkCIkYqMjETDhg0xZMgQBAQEFFvu5MmT6NOnj1J1Wltb49GjR7RqISFGhpIBQozYli1bMGbMGPj7+5e4jDHHcUrXmZ6eXuwcBoQQw0RrExBixHx8fPDu3Tv4+fnhxYsXWLlypdxVDMPDw1G3bl2l6nRwcJA7/wAhxHDRAEJCjNzcuXMREBCAvXv3okGDBtizZ0+RuwxcXV0xZswYperLy8vDzp07tREqIUQk1E1AiImIjIyEr68vgoKC4OjoCG9vb7Ro0QKenp4oVaoUMjMz4eXlpXR9qampNNcAIUaCkgFCTExYWBg2bdqE8+fP4/HjxyWuQ6AIfX0QYhwoGSDEhKWlpeHZs2fIzs6GtbU1XF1d8f3332PdunVKHf/bb79h7NixWo6SEKJtlAwQYoTS0tKwZcsWtGvXDi1btlT5eFXuLkhOToa9vb3K5yCE6A8aQEiIEcnPz8fWrVvh6uqKb7/9FmvWrFGrnujoaKXLOjg4qHUOQoj+oGSAECNx8eJFtGjRgr+dEACcnZ3Vqqt69er47rvvlC6vbLcCIUQ/UTcBIQYuPDwcM2bMwPHjx4vsW79+PXx9fdWuW5XugsTERJQrV07tcxFCxEMtA4QYqPfv3+Pbb7+Fh4eH3EQAAGrXrq3ROZRZxKhQ+fLlNToXIUQ8lAwQYmByc3Oxbt061KlTB6tXr0ZeXl6xZTVdQ8DZ2Rnz5s1Tuvzy5cs1Oh8hRBzUTUCIgWCM4dSpU5g+fTqePn0KjuMU3uefmZkJGxsbjc+tSndBfHw8KlSooPE5CSG6Qy0DhBiABw8eoHv37ujTpw+ePn0KQPGEP1WqVBEkEQDAD0hURsWKFQU5JyFEdygZIESPvX37FmPGjEHTpk1x/vx5lY7VdLyANEdHRyxZskTp8osXLxbs3IQQ7aNuAkL0EGMMv/zyCxYtWoT09HS16hg+fDh27dolaFyqdBe8ffsWTk5Ogp6fEKId1DJAiB568OABZs2apXYiAGg+eFCe+Ph4pctWrlxZ8PMTQrSDkgFC9FCjRo2wYsUKWFlZqV2HNpKBChUqYMWKFUqX9/PzEzwGQojwqJuAED32+PFjjBw5Ejdv3lTq7gFply5dQseOHbUSlyrdBa9fv0aVKlW0EgchRBjUMkCIHqtfvz7+/vtvLFu2DBYWFiodK+QAwg+9f/9e6bJVq1bVWhyEEGFQMkCInrOwsMDs2bNx9+5dNGvWTKljLC0ttfrXeNmyZVVaj2DmzJlai4UQojnqJiDEgKSnp8POzk5hOVdXV4SHh2s9HlW6C168eAEXFxctRkMIURe1DBBiQKQHBTZq1EipctqUnJysdNkaNWpoMRJCiCYoGSDEQBw6dAhxcXEAgIiICNy6dQt+fn4wNzcvUlab4wWk2dvbY/PmzUqXnzRpkhajIYSoi7oJCDEAWVlZKFWqFABg4sSJ+PXXX/l9t2/fxogRI/Do0SP+tR9//BGzZs3SWXyqdBc8f/5cZy0XhBDlUMsAIQbA0dGR35ZOBACgRYsWuHv3LmbNmgUzs4JfaV1fbNPS0pQuq6tWC0KI8igZIETP7d27F6mpqQAKBuHJY2Njgx9//BF///03pk6dih49eugyRNja2mLnzp1Kl/fx8dFiNIQQVVE3ASF6LCMjA7a2tgCAadOmqTT7nxisrKyQm5urVNmnT5+ibt26Wo6IEKIMSgYI0WPSF1dD+FXNzMxE6dKllS5vCO+JEFNA3QSE6KmdO3fyicCrV69EjkY5pUqVwr59+5QuP2zYMC1GQwhRFrUMEKKHpCcXmjNnDpYuXSpyRKopW7as0nMQhIaGwsPDQ8sREUJKQskAIXpI+lY9Q/wVzc7Oho2NjdLlJRKJSrcnEkKERd0EhOgZ6Ul83rx5I2Ik6rO2tsbhw4eVLj9gwAAtRkMIUYRaBgjRIykpKXBwcAAALFiwAPPnzxc5Is1UrlwZ7969U6pscHBwiVMsE0K0h5IBQvSIoXcPfCgnJwfW1tZKl6fuAkLEQd0EhOgJ6ZkFY2NjRYxEOFZWVjh58qTS5Xv37q3FaAghxaGWAUL0QFJSEsqVKwdA9+sK6EKtWrUQFRWlVNnbt2+jefPm2g2IECKDkgFC9ICxdQ98KC8vD5aWlkqXp+4CQnSLugkIEZn0FMMJCQkiRqI9FhYWOHv2rNLlu3TposVoCCEfopYBQkSUkJCAihUrAgBWrVqFqVOnihuQlnl4eMgstVySGzduoHXr1lqOiBACUDJAiKiMvXvgQ/n5+bCwsFC6PHUXEKIb1E1AiEiWLVvGbyclJYkXiA6Zm5vj4sWLSpf/6KOPtBgNIaQQtQwQIoLY2Fg4OTkBADZs2IAJEyaIHJFuNW/eHHfv3lWq7N9//422bdtqOSJCTBslA4SIwNS6Bz4kkUhgbm6udPn8/HyYmVFDJiHaQr9dhOjYggUL+O2UlBTxAhGRmZkZrl69qnR5Ly8vLUZDCKGWAUJ06M2bN6hSpQoAYMuWLfj6669Fjkhcbdu2xfXr15Uqe/nyZRpDQIiWUDJAiA6ZevfAhxhjKjX/U3cBIdpBv1WE6Mjs2bP57bS0NBEj0R8cxyndMgCApikmREsoGSBEB169eoWffvoJALBr1y7Y2tqKHJH+8PLyQocOHZQqe//+fZVuTSSEKIe6CQjRgcLuASsrK2RnZ4scjQhGjQJ27iyxiA0AZT+ZvLw8le5GIISUTPmpwAghapGeYthUJhcqVrt2gKur3F1Xx41DSyXnE2jUqBFCQ0OFjIwQk0bJACFaFBUVhTVr1gAA9u3bh1KlSokckch8fApaCeRoAaBr1644f/68wmrCwsJw/vx5dO3aVdj4CDFRNGaAEC2qVasWAMDBwQGDBg0SORr9p8rKht26dUNeXp4WoyHEdFAyQIiWSE8x/O7dOxEjMRwcx+HOnTtKl/fw8NBiNISYDkoGCNGCiIgIbNq0CQBw+PBhWFtbixyRnrh4EZg+HRg7FpgzBzhyBPhgQGWzZs3Qs2dPpaoLDw/HmTNntBEpISaF7iYgRAsK7x5wcnLC27dvRY5GD5R0N4GzM7BtG9CjB/+SqpMR5ebmqrQ0MiFEFrUMECKw0aNH89vR0dEiRqJHGjcG1qwBHj4EUlKAd++As2eBtm2BN2+Azz4DLl3ii3Mch/v37ytdfd26dYWPmRATQi0DhAjoyZMnqF+/PgDg5MmT6N27t8gR6TnGgH79gGPHChKGDxKAzz//HMeOHVOqKvq8CVEfJQOECKiwe6BmzZqIjIwUORoDERwMNGlSsB0dDVSvzu9StbsgJycHlpaWAgdIiPGjbgJCBDJkyBB+Ozw8XMRIDIy7+3/br17J7OI4DiEhIUpXVbNmTYGCIsS0UDJAiABCQ0Oxb98+AMCZM2doMJsqEhL+2y5TpsjuBg0aYMCAAUpVFRMTo3S3AiHkP9RNQIiGpJuy69evj0ePHokckYFZtQqYNg2wtwfi4wE5zfyqdhdkZ2fDyspKyCgJMWrUMkCIhvr168dvP3z4UMRI9NT9+8Dx48CHswVKJMDWrcD33xc8nzxZbiIAFHQXqLIWQbVq1dQMlhDTRMkAIRq4f/8+3yz9559/0kp68kRFAX37Ao6OQNeuwLBhQO/eQK1aBWsVZGUBQ4YA8+eXWI2HhweGDh2q1Cnj4uJw+PBhAYInxDRQNwEhapJuum7SpAnu3bsnckR6KjISWLsWuH27YDshoeCWQicnoFUrYPRooFcvpasrvGNDGVlZWTT7IyFKoGSAEDX16NGDnwo3Pz9fpT5toj7puRwUcXBwoGWjCVECfXsRoobbt2/zicCVK1coEdAhNzc3jBgxQqmyycnJOHDggJYjIsTwUcsAISqS7h5o06YNrl27JnJEpkmV7oLMzEzY2NhoMRpCDBv9OUOIijp37sxv//333yJGYtpUmdipQoUKWoyEEMNHyQAhKrhx4wb++usvfluVv06JsFxdXeHj46NU2YyMDOzZs0fLERFiuKibgBAlSSQS/tbBzp07488//xQ5IgKo1l2Qnp6O0qVLazEaQgwTtQwQoqS2bdvy2xcuXBAxEiItIiJC6bJly5bVXiCEGDBKBghRwpUrV/DPP/8AAO7cuUPdA3qkdu3amDBhglJlc3NzsWvXLi1HRIjhoW4CQhSQ7h7o1asXTp06JXJERB5VErS0tDTY2tpqMRpCDAslA4Qo0LhxYzx48ABAQWJArQL66cWLFyotYUxffYT8h7oJCCnBhQsX+EQgODiYEgE9VqNGDUyePFnp8tu2bdNiNIQYFmoZIKQYeXl5sPx3Fb1+/frRwjcGQpWELTU1FXZ2djKvhYeHY+fOnUhISICzszPGjBkDZ2dnocMkRK9QMkBIMerVq8dPbEPdA4bj5cuXcHFxUbp84VdgamoqZs6cid9++01mv5WVFfbu3Yv+/fsLGich+oS6CQiRIygoiE8EQkNDKREwINWrV8f06dOVLr9582ZcuHABDRs2LJIIAEBOTg6GDh2K0NBQIcMkRK9QywAhH8jNzYWVlRUAYOjQoQgMDBQ5IqIOoRO47777Dj/99JOgdRKiL6hlgJAP1KlTh9+mRMBwvXr1StD6aMZJYswoGSBEyvHjx/Hy5UsAwJMnT0SOhmiiatWqmD17tmD1RUVFCVYXIfqGugkI+VdOTg6sra0BAF999RW2bt0qckRECEJ2F8i7+4AQY0AtA4T8q1q1avw2JQLGIyYmRrC6qHWAGCtKBggBcOjQIcTFxQFQbeEbov8K7woRQmRkpGB1EaJPKBkgJi8rKwsDBgwAAPj6+qJ27doiR0SEkJ6ejilTpqBjx46C1UktA8RYWYgdACFic3R05LfXr18vYiREKFFRUejevbugrQIAtQwQ40XJADFpe/fuRWpqKoCChW6I4UtKSkLnzp218lc8tQwQY0XdBMRkZWRkYOjQoQCAadOmqTSFLdFfgYGBWrtoU8sAMVZ0ayExWZaWlsjLywNAy9kaE29vb60tKuXg4ICkpCSt1E2ImKhlgJikHTt28ImA0DPVEXEVzhWhDcnJyZQMEKNEyQAxOWlpaRg9ejQAYM6cOahatarIEREhde/eXav1nzhxAvfv30daWppWz0OILlE3ATE50jPS0X9/45Obm4uWLVsiODhYq+fhOA5ubm7o1q0bxo8fDw8PD62ejxBtopYBYlI2b97Mb79580bESIi2WFpa4q+//kKvXr20Uv/MmTNx48YNbN26FZ07d8b+/fvh6emJnj170gBDYrAoGSAmIyUlBePGjQMALFiwAJUrVxY5IqItDg4OOHnyJI4dOwZXV1dB687JyUHr1q0xevRobNiwAS9fvkRgYCDCwsLQsGFDbNmyRdDzEaILlAwQk+Hg4MBvz58/X8RIiC5wHIfPPvsMoaGhWLFihczPXxMf3rZoZWWFoUOH4uHDhxgyZAjGjBmDJUuWCHIuQnSFkgFiEn799Vd+OzY2VsRIiK5ZWVlh2rRpCA8Ph6+vL8zMNPvaK64roEyZMggICMCiRYvg5+dHi10Rg0IDCInRS0pKQrly5QAAP/74I2bNmiVyRERMDx8+xLRp03Du3Dm1jre3t0dSUlKxSyMzxjB27Fjs3bsXISEhqFWrlibhEqITlAwQo0d3D5APMcbwv//9D9OnT8eTJ09UPj4lJQVlypQpcX/Dhg3h4eGB06dPaxIqITpB3QTEqK1YsYLfTkhIEDESok84jkPv3r0REhKCOXPmqHSsmZkZSpcuXWIZe3t7LFu2DEFBQXj06JEmoRKiE5QMEKOVkJCAGTNmAABWrVqF8uXLixwR0TeWlpZIS0tDxYoV4evrC3Nzc4XHcByH0qVLo3r16ujfvz+uXr0qt5y3tzccHR2xceNGocMmRHCUDBCjVbFiRX576tSp4gVC9Nq5c+cwcOBArF+/HiEhIQrnJ2jfvj2mT5+OLl26IDg4GAcPHpRbztraGt7e3jh//rw2wiZEULSEMTFKS5cu5bdpLnlSnNTUVDx58gTfffcdAMDd3R2nTp1CUFAQZsyYgdDQUL4sx3FYsGABfvjhB34cCmOsxMmrWrRogU2bNiEtLQ12dnbafTOEaIBaBojRiY2Nxdy5cwEA69evF+z+cmJ8IiIiwBgrMpVwjx49EBISgnv37qFdu3YAgOXLl2PevHkyA1I5jkOVKlWKrd/T0xOMMTx79kw7b4AQgVAyQIyOk5MTv+3r6ytiJETfZWdnA4DcAYEcx6FJkybIysoCAAwaNEjl+kuVKiVzHkL0FSUDxKjMmzeP305JSRExEmIICpc7zsjIKLZMcnIyOI6Ds7OzyvVnZmbKnIcQfUXJADEab968gb+/PwBgy5YtJd4HTggAuLq6guM4hIWFFVumbNmyCscGFCc0NBQcxwm+PgIhQqNkgBgN6b7br7/+WsRIiKGws7ODm5sbbt26VWyZVq1aAQDOnj2rcv23b99G/fr1afAg0XuUDBCjID3FcFpamoiREEPTrVs3HDp0CDk5OXL3jx8/Hubm5vDz88Pvv/+OtWvX8vsYY4iJiZF7XHZ2Ng4dOoSuXbtqJW5ChETTEROD9+rVK1SvXh0AsGvXLgwfPlzkiIi+K/zaK+wi8PT0RGBgIIYOHSq3/K+//orJkyfzxw0fPhyWlpa4fPkyevfujdWrVxc5Zs+ePRg2bBjCwsLg7u6utfdCiBAoGSAGr/BWLysrKxq1TYqIj49HSEgIHjx4gJCQEISEhCA0NBQZGRkoW7YsxowZg9u3byMiIgIhISHFjjUZN24cNm/eDKDg/1zVqlXRunVrTJs2DW3btpUpS2sTEENDyQAxaFOnTsWaNWsAFIwIL7yVi5ierKwshIWF8Rf8wov/27dvFR7r6emJyMhIDB06FAEBAUX2p6WloWbNmkhMTORbB65cuYL27dsXKUurFhJDRDMQEoMVFRXFJwL79u2jRMBESCQSREVFFbnoh4eHIz8/X606Q0ND8emnn2LLli2oUaMG/Pz8ZPb/+uuvRRa6WrhwYZFlkBljWLx4MbZs2YItW7ZQIkAMBrUMEINV2D3g4OBAUw4buaysLOzduxc7d+7EnTt3tDJItG3btujVqxf8/Pzg4+ODlStXokyZMkhNTUXNmjXx/v37IktgX716lZ+hcMuWLdi3bx8uXLiAJUuW4Pvvvxc8RkK0hVoGiEGaMGECv/3u3TsRIyHalpmZib59+xb5K1xor169wty5c+Hk5ISpU6fi7NmzWLZsGZ4/f47ExES5xyxcuBAnTpzAoUOHMHbsWDDGMG7cOEoEiMGhlgFicCIiIvhJXA4fPox+/fqJHBHRpu+//x7Lli3T+nkGDRqEffv2AQAiIyPh6+uLoKAgcBxXpEVAWrly5fD+/Xu4uLggOjoaAI1fIYaH5hkgBqcwEXBycqJEwMhJJBJs27ZNJ+caMGAAv12rVi2cPn0aU6ZMKTERAIAyZcogLCwML1684F+rUKGC1uIkRBsoGSAGZdSoUfx24V9hxHhxHKeTbqCGDRuif//+Mq+lpKRg165dMqsUyhMdHc2PWSlMCDIzM/H7779rJVZCtIGSAWIwnjx5gp07dwIATpw4ASsrK5EjItrGcRwqVqyo9fMsWLAAZmayX4fr1q2TO2hQnoULFwIAXFxcMGPGDAAFExOVtAASIfqExgwQg1H4F1qNGjUQFRUlbjBEZ+bNm8cvQKUNTZo0wZ07d2SSgZSUFNSoUQPJyclKJQMAcP36dXh5eQGATGsCfcUSQ0AtA8QgSK8l/+zZMxEjIbo2ffp0rd6vL69VYO3atUhKSlLpQl7YOgAAr1+/5rd1NeaBEE1QywDRew8fPkTDhg0BAGfOnEH37t1Fjojo2q1bt9CuXTvk5uYKWm+zZs1w+/Ztmb/kk5OTUbNmTZVaBQrduHEDrVu3BgD88MMPWLx4MYCClgZaUpvoM2oZIHqNMcYnAvXr16dEwES1bNkSP/30k+D1Llq0qMgAwXXr1qncKlBIunVAumvD3t5e/SAJ0QFKBohek7518OHDhyJGQsSWmZkpaH2tWrVCr169ZF5LTk7G8uXLFd5BUJzTp0/jn3/+4Z9Lr4uwceNG9QIlRAcoGSB66/79+zh27BgA4M8//4S5ubnIEREx5OXlwdbWFnPnzhW03gULFhS56K9du1at7gFp0q0DTk5OfAuBr68vkpOT1a6XEG2iMQNELzHG+EFdTZo0wb1790SOiIghJCQEjRo1ErxeLy8vXLt2TSYZyMvLQ6VKlQRZ5yIkJAQNGjTgn9PdBUTf0doERC/17NmT375z546IkRCxSA/AE5q8sQIcx6Fv374IDw/nX/vwwn39+nUA4AcJyitjZ2eH8uXLy7wWFxeHSpUqAQBWr16NqVOnavweCBEStQwQvXP79m20bNkSQPFrxhPjlZOTA2tra63V365dO1y5ckWtcQGFx6jztbl8+XLMnDkTAJCQkFAkYSBETJQMEL0i3T3Qpk0bXLt2TeSIiC5JJ4LacuHCBXTp0kWtYzVJBqSP16QOQrSBBhASvdKpUyd++++//xYvEKJz06ZN03oi0LFjR3Tu3Fmr5yiJ9FLI2rhVkhB1UTJA9Mb169dx+fJlAAWTt6h7excxLJmZmeA4DqtWrVLr+LZt2ypdduHChaL+vypXrhzWrl0LAJg9ezbi4uJEi4UQadRNQPSCRCLhbx3s3Lkz/vzzT5EjIrpw7do1tGvXTu3j3717hwoVKqBr1664dOlSiWW7dOmCCxcuqH0uQPNugg/rEaIuQoRALQNEL7Rp04bf1vQLmxiGcePGqZ0IfPzxx2CMwdHREebm5ggMDFS4uqH0/f9ik55vYNGiRSJGQkgBSgaI6C5fvoybN28CQJF54onxSU9PB8dx2Lx5s1rHHz58GOfPn5d5rUqVKti3bx9KlSol95jvvvtOr+5Ksbe3x2+//QYAmD9/vsxMhYSIgboJiOqePAHOngXu3Cl4PHoE5OcD/v6An59KVeXn58PComC6i549e+J///ufNiImeuLixYtqj+QHFN+Sd+PGDUycOBF3794FAJQtWxazZ8/G9OnT+f9nmhCqm+DD+oSskxB10KRDRHUbNwJr1ghSVdOmTfntU6dOCVIn0U9ffvklAgMD1Tq2b9++OHr0qMJyXl5euHPnDl6+fAmJRAInJyfY2NiodU5dSE1N5Vcz/P7777F06VKRIyKmiroJiOoaNABmzAACAwtaBYYPV6uaCxcuICQkBAAQHBxM3QNGKiUlBRzHqZ0I/O9//1MqEZBWvXp11KhRQ68TAaBgtsLt27cDAJYtW4bXr1+LHBExVdRNQDQ3ahSwc6dK3QR5eXmwtLQEULAy4eHDh7UYIBHL6dOni6wMqIqkpCQ4ODgIGJFmhO4mKGRhYYH8/Hyt1E2IMqhlgIjCw8OD3z506JCIkRBt6du3r9qJwLBhw8AY06tEQJtSUlL47W+//VbESIipomSA6FxQUBC/GExoaCh1DxiZxMREcByH48ePq3X8n3/+id9//13gqPRb6dKlsWfPHgAFCxm9ePFC5IiIqaFkgOhUbm4uvyLh0KFDZVoIiOE7evQoKlSooPbxaWlpok4XLKYhQ4bAzs4OAFCzZk1xgyEmh5IBolN16tTht9UdUEb0D2MMXbt2Rb9+/dQ6fuzYsWCMwdbWVuDIDIv09MS+vr4iRkJMDSUDRGeOHz+Oly9fAgCePHkicjREKLGxsTAzM1N75sirV6/yE/CYOhsbGxw8eBAAsHHjRkRERIgcETEVlAwQncjJyUHfvn0BAF999RXq1asnckRECPv27YOTk5Pax2dkZGi0NoEx8vb2RqVKlQAArq6uIkdDTAUlA0Qnqlatym9v3bpVxEiIEBhj8PLywpAhQ9Q6/ttvvwVjrNjpg03dq1ev+O2vvvpKxEiIqaBkgGjdwYMHER8fDwDU7GkEYmJiYGZmhn/++Uet42/duoWVK1cKHJVxsbKy4u/G2L59O3WrEa2jZIBoVVZWFgYOHAigYEBU7dq1RY6IaGL79u0yrTyqys7ORosWLQSMyHj16dMH1atXBwDUr19f5GiIsaNkgGiV9LKy69evFzESognGGDw9PdVusp47dy4YY7CyshI4MuMm3ZKmbpcMIcqg6YiJ6u7eBaRve4qIAOLjgWrVAKm/Gg8PHw7vSZMAAFFRUahRo4auIyUCePHihUb3vT948AANGzYULiB1CbDapramIy7JmTNn0KNHDwDAw4cP4enpqbNzE9NBqxYS1aWkAPL6i1+9Knj8a9q/Zb799ltKBAzU+vXrMenfhE5Vtra2SEpKEmTpYEEIuNqmLn3yySeoV68enj59igYNGkAikdCsnURw1E1AVNepE8BYiQ8Lc3MUTqhKg8UMj0QiQY0aNdROBJYsWYK0tDT9SQQAwVbbFENYWBi/3b9/fxEjIcZKj35TibHYsWMHvwKb9C1SxDA8e/YMdevWVfv4R48e6eeANx8f2edmhvO3kLm5OS5cuICPP/4YR48eRXBwMBo3bix2WMSIGM5vAzEIaWlpGD16NABgzpw5Go08J7q3fPlytRMBJycn5OXl6WciYAS6dOnCJwBNmjShpY6JoCgZIIIqU6YMv7106VIRIyGqyM/PR4UKFTBz5ky1jl+1ahXevn0Lc3NzgSMj0u7evctvFy74RYgQKBkggtm8eTO//ebNGxEjIaoICwuDhYUFEhMT1To+IiICU6dOFTYoIpeZmRmuXLkCoOAug9u3b4scETEWlAwQQaSkpGDcuHEAgAULFqBy5coiR0SU4e/vr/atanXq1EF+fj5NJKVj7du3h5eXFwCgZcuW1F1ABEHJABGEg4MDvz1//nwRIyHKyM3NhZWVFebNm6fW8Zs2bcKzZ89gZkCD8IzJ33//zW937txZxEiIsaDfZKKxdevW8duxsbEiRkKUcf/+fVhZWSE3N1et46Ojo/lWICIOMzMz3LhxAwDw119/8duEqIuSAaKR9+/fY/LkyQCAH3/8kV96lein2bNno2nTpmod26RJE0gkEn6+fCKu1q1b860Cbdq0gUQiETkiYshongGikfLly/Pbs2bNEjESUpLs7GzY2NioffzOnTsxYsQIASMiQrhw4QLfVdOmTRu1V5IkhFoGiNqWL1/ObyckJIgYCSnJzZs3NUoEYmJiKBHQUxzH8XcU3Lx5E5cvXxY5ImKoKBkgaklISODvSV+1apVMCwHRH5MnT0br1q3VOrZ9+/aQSCRwdnYWOCoipObNm/NzDnTs2JGf/ZMQVdCqhUQt0gul0H8h/ZORkQFbW1u1j9+/fz+++OILASPSA0qutokjR4BiEiAxVi1UBmOM7y5o2LAhHjx4IHJExNDQmAGisiVLlvDbSUlJ4gVC5Lpy5Qo6dOig9vFxcXGoWLGigBHpCSVX20R2tu5iEgjHcfx6BSEhIfw6BoQoi1oGiEpiY2Ph5OQEoGB5W1/pv7SI6L7++mts27ZNrWN79OiB06dPCxyRcdHXloFC3t7eOHz4MICCuST0atVIotcoGSAqoe4B/ZSamgp7e3u1jz927Bg+++wzASMyTvqeDEh3F9StWxdPnz4VOSJiKGgAIVGa9MyCKSkpIkZCpJ0/f16jRCAxMZESASPBcRxCQ0MBAOHh4dTSQ5RGyQBRyps3b7Bo0SIAQEBAgMzqhEQ8gwYNQrdu3dQ6dsCAAWCMoVy5cgJHRcTk4eGBoUOHAgB69eql9kyTxLRQNwFRCnUP6JekpCSNLuJnzpxB9+7dBYzINOh7N4G0wlirVauGly9fihwN0XfUMkAU+v777/nttLQ0ESMhAHDy5EmNEoGUlBRKBEzAkydPAACvXr3CsWPHRI6G6DtKBkiJYmJisGzZMgDA9u3bNbp3nWiud+/e6NOnj1rHjhw5Eowx6uIxEfXq1cPXX38NAPj888+RbYC3TBLdoW4CUqLCpkaO42ghFBHFx8drtAjUpUuX0LFjRwEjMk2G1E1QqDDmChUqID4+XuRoiL6ilgFSrO+++47fpu4B8Rw8eFCjRCA9PZ0SARP2/PlzAAVTiB88eFDkaIi+omSAyPXq1Sv88ssvAIBdu3ahdOnSIkdkehhj6NixIwYOHKjW8RMnTgRjjH52Jq5WrVqYNGkSAGDgwIHIysoSOSKij6ibgMhV2LRoaWmJnJwckaMxPW/fvtVogaDr16/Dy8tLwIgIYJjdBIUKYy9dujTS09NFjoboG2oZIEVMmzaN305OThYxEtP0+++/a5QIZGZmUiJAinjx4gWAgkWsAgMDRY6G6BtKBoiM6OhorFq1CgCwZ88elCpVSuSITAdjDM2bN8fw4cPVOn7mzJlgjMHGxkbgyIgxcHFxwYwZMwAAX375JTIyMkSOiOgT6iYgMqgpURyvXr1C9erV1T7+7t27aNq0qYAREXkMuZugEN0hROShlgHCmzx5Mr+dkJAgYiSmJSAgQO1EwNzcHDk5OZQIEKW9fv0aQEFCo+4Kl8T4UDJAAABRUVFYt24dAGD//v3U1KwDjDHUq1cPY8eOVev4+fPnIy8vD5aWlgJHRoxZlSpVMHfuXAAFS17TbcMEoG4C8q/CpkN7e3saNKgDkZGRqF27ttrHP3z4EJ6engJGRJRhDN0EhWi9ESKNWgYIfH19+e3Y2FgRIzENa9euVTsRKFu2LHJzcykRIBp7+/Ytv/3bb7+JGAnRB5QMmLjnz59j48aNAApmurO2thY5IuOVn58PZ2dnTJkyRa3jf/rpJ7x//x4WFhYCR0ZMkZOTE/z9/QEA48ePpxZBE0fdBCaO5i3XjSdPnqB+/fpqH//06VPUrVtXwIiIOoypm6AQdRcQgFoGTJr0wLWYmBgRIzFuP/74o9qJQLVq1ZCfn0+JANGauLg4fnvNmjUiRkLERC0DJurZs2f8BebIkSP4/PPPxQ3ICOXl5aFcuXJqj9Zet24dP6c80Q/G2DIAAL/88gu/MFlCQgLKly8vckRE1ygZMFGFX2pOTk4yA4mIMB4+fIiGDRuqfXxkZCRq1qwpXEBEEMaaDADUXWDqqJvABI0ePZrfjo6OFjES4zRv3jy1EwF3d3dIJBJKBIjOJSYm8ts///yziJEQMVDLgIl5+vQp3NzcAADHjx9Hnz59RI7IeOTk5Gh0N8aWLVvw9ddfCxgREZoxtwwABV1ThTORxsXFoWLFiiJHRHSFkgETU/hlVq1aNbx8+VLkaIzH3bt30bx5c7WPf/XqFapWrSpgREQbjD0ZAKi7wFRRN4EJ+fLLL/nt58+fixiJcZkxY4baiUDLli0hkUgoESB6Q3q+gcJ5CIjxo5YBE/H48WO4u7sDAE6dOoVevXqJHJHhy8rK0miJ58DAQAwdOlTAiIi2mULLAFAwI+H48eMBFMxU6OTkJHJERNsoGTARhV9iNWvWRGRkpMjRGL7r16+jbdu2ah9PX7CGyVSSAYC6C0wNdROYgCFDhvDb4eHhIkZiHCZMmKB2ItC5c2dIJBJKBIjeS01N5bcLVzkkxotaBoxcWFgYv6hNUFAQPvnkE5EjMlzp6emws7NT+/hDhw6hf//+AkZEdM2UWgYAYMeOHfytyDTI1bhRMmDEGGMwMyto/Klbty6ePn0qckSG69KlS+jcubPax8fHx6NChQoCRkTEYGrJAABYWFggPz8fgGm9b1ND3QRGbODAgfx2WFiYiJEYthEjRqidCHz66adgjFEiQAxWSkoKvz1jxgwRIyHaRMmAkQoJCcGhQ4cAAOfOnTPNZW9HjQI4ruRHVlaxh6ekpIDjOOzevVut0588eRInTpxQM3hC9EPp0qURGBgIAFixYgXNWmqkqJvACEl3D7i7u5tuq8CoUcDOnUC7doCrq/wyAQGApWWRl4OCgtCzZ0+1T52UlAQHBwe1jyf6yRS7CQrZ2dkhPT0dgGm+f2Nngn8uGr9+/frx2yEhISJGoid8fAoSAyX1798fR44cUetUgwcPxt69e9U6lhgOxpjMrXemID4+np9XY+LEiVi/fr3IEREhUTeBkQkODsaxY8cAAH/++SfMzc1FjshwvH//HhzHqZ0InD9/nhIBYrRsbGxw8OBBAMCGDRtoFlMjQ8mAEWGMoUmTJgCARo0aaTT63dQcO3ZMozXcU1NT8fHHHwsYESH6x9vbm1+8qE6dOiJHQ4REyYAR+fTTT/ntu3fvihiJnrl4EZg+HRg7FpgzBzhyBMjO5nd3794dn3/+uVpV+/j4gDGm0fwDhBiS169f89u0yqbxoAGERuLevXto1qwZAOCvv/5Chw4dRI5IDxQOIJTH2RlJq1ah3ODBald/5coVtG/fXu3jiWFJS0tDmTJlAAB37txBvXr1TDYJPHHiBD777DMAwJMnT1CvXj2RIyKaomTACEjfPdCsWTPcuXNH5Ij0xKpVgLk58PHHgIsLkJkJBAcDCxYA164hB0B3AH+pUXVGRoZGixQRwxAWFoZNmzbh3LlzePLkicwoeo7j4Obmhm7dumH8+PHw8PAQMVLdc3Fx4ZdBp8uI4aNuAiPQo0cPfvvWrVsiRqJnvv0WmDwZ8PQEypQBHB3BunZFW4kERwFYAVitYpWTJ08GY4wSASMXGRmJnj17wtPTE/v370fnzp2xdetWfv+1a9ewdetWdO7cGfv374enpyd69uxpUouARURE8Nu0+qYRYMSg3bp1iwFgANiVK1fEDkevvX79mv+sGgGM/fuo9u9rih43b94U+y0QHQgICGC2trasRo0aLDAwkGVnZ/P7Cv8v5Ofn869lZ2ezwMBA5uLiwmxtbVlAQIAYYYvi9OnT/GcSGhoqdjhEA5QMGDCJRML/IrZu3VrscPTa9u3bZS7sllLJgJcSiUBWVpbYb4HowOLFixkA5uPjw1JSUorsL/z/kJeXV2RfSkoK8/HxYQDY4sWLdRGuXqhXrx7/uUgkErHDIWqiZMCAdenSRe5fKuQ/EomENWjQoMjFvbJUMuBZQhIwZ84csd8C0ZGAgAAGgPn7+8u8fvHiRQaAzZ8/v8RkoNCiRYsYALZlyxZth6wX8vLy+M+lX79+YodD1ERjBgzUzZs38eeffwIo6L8sHEBI/hMdHQ0zMzM8fPiwyL7CewiSATwp5vj79+9j6dKl2gqP6JHIyEhMnToVPj4+8PPz06guPz8/+Pj4YMqUKSYxhsDc3BwXLlwAABw5cgQPHjwQOSKiDrqCGCDGGFq3bg0AaN++Pdq0aSNyRPrnwPffY1KNGvhw/kUOwFcACi/xawHkfVDGxsYGOTk5aNy4sbbDJHrC19cXFStWxMqVKzWui+M4rFixAhUqVICvr68A0em/Ll26oGHDhgCAxo0b090FBoiSAQPUsWNHfvvy5csiRqJ/JBIJatWqhT3LluE4gFgA5wD8DuAkgEgAWwGUArAHwMIPjvf390dmZiYs5SxeRIxTWFgYgoKCsHTpUn4egeJMmzYNDRo0UNgSZ29vj2XLliEoKAiPHj0SMly9de/ePX67cA4CYjgoGTAw169fx5UrVwAAN27cMLnFUkoSEREBc3NzREVFIRjAKgChAOoD6A+gcLLgPwD0AjAMQL7U8WFhYRo3ERPDs2nTJjg6OmLAgAEKy/br1w8VKlSAvb09ypYtC29vbzx79kxuWW9vbzg6OmLjxo1Ch6yXzM3NcenSJQAFy3ffv39f1HiIaigZMCASiQRt27YFAHTq1InvKiDAypUr4Sq1THEUgGkAOgCoDqA0CloDagL4AsBpqWMrVqyIvLw8uLu76ypcokfOnTsHb29vWFlZlVjuxo0b+Pjjj+Hg4IBvvvkGHTt2xJEjR9C2bVu5i/ZYW1vD29sb58+f11boeqdjx478TKhNmzal7gIDQsmAAWnXrh2/XTh40NTl5+ejUqVKmD59ulrHr1ixAnFxcbS6o4lKTU3FkydP0LJlS4Vlz5w5g7Vr1+LYsWNYunQpjh07ho0bNyIuLg5TpkyRe0yLFi3w+PFjpKWlCR263pKe+Kxnz54iRkJUQcmAgfj7779x48YNAAW/bNQ9ADx69AgWFhaIj49X6/jw8HBMmzZN4KiIIYmIiABjTKmphOvVq4cxY8bIvDZmzBjUrVsXp06dQlxcXJFjPD09wRgrtivBGJmZmfFdmWfOnKHp0Q0EJQMGQCKR8AvidO3aFS1atBA5IvEtXrxY7bnga9asifz8fJluBWKasv9dvbJ06dIKy7Zr167IwEEzMzO0a9cOjDEEBwcXOaZw2upsqVUyTUH79u35bswWLVpQd4EBoGTAAEiPDTh79qyIkYgvNzcXpUqVwg8//KDW8Rs2bEBkZCTNy0AAFPTrAwULTyni5ORU4uvJyclF9mVmZsqcx5Rcu3aN3+7atauIkRBlWIgdACnZ5cuXcfv2bQAFy6aacvfAgwcPNLr3/8WLF3BxcREwIqJrf/zxB06cOIGqVauiWrVqMo9KlSqpnOS5urqC4ziEhYUpHJD77t27El+PiIjApUuX0KFDBz6O0NBQcBxnkq1QZmZmuHbtGtq2bYs///wTN2/eRKtWrcQOixSDkgE9JpFI+DkFevbsyY/SNUU//PADFi9erNaxjRo1wv379006kTIWe/bswdGjR+Xus7S0RJUqVYokCdKPypUrw8Liv689Ozs7uLm54datWxg9enSJ5/77778hkUhkEg6JRML3j8+aNYt//dixY/jss89w+/Zt1K9fH3Z2dhq8a8PVpk0btG/fHlevXkXr1q0hkUjo91BfiTgVMlGgcePGJr8ASHZ2tlIrChb32LFjh9hvgQho9+7dGv1/MDMzY1WrVmWtW7dmgwYNYs+ePWPffPMNc3R0lFmdUFrh2gQA2KZNm2T2bdq0qdhzdevWjTk6OrJvvvlGFx+N3pJeUO2jjz4SOxxSDI4xGtmhjy5evIguXboAKJgj3xSnxr13755GrSExMTFwdnYWMCIitvT0dDg5OSE9PV2Q+vbu3YtGjRrB09MTgYGBGDp0aJEyly5dQufOnfHJJ5/g4sWL6NGjBzw9PREaGooTJ07A2toaWVlZxZ7j6tWrMrcFm6KbN2/y3TDXrl2jKdT1EI2i0kP5+fl8IvDZZ5+ZZCIwa9YstROBtm3bQiKRUCJghGxtbfHFF18IUtfYsWMxaNAgeHh4oEePHvj++++RmppabHkvLy9cuHABycnJWLt2LS5duoTPP/8cGzduLLHpu3379ti/f78gMRuqVq1aoXPnzgD++/0kekbspglSlKenp8l2D2RlZWnUDLxv3z6x3wLRskuXLmn0fwQAGzx4sMwyxM+fP2e2trbMx8dHrZgmT56s8Jxt27Y1ud9nadLdBV5eXmKHQz5AyYCeOXfuHP8L8+DBA7HD0albt25p9AUfGxsr9lsgOpCfn89q1KjBOI5T6/9Jr169WE5OTpF6AwICGADm7++vVlzbtm1T6vwxMTGafgT64fFjxtauZWzkSMYaNGDM3JwxgLESPr/bt2/zn8OVK1d0FytRiJIBPZKbm8v/ovTv31/scHTq22+/VTsJ6Nq1q9jhEx2bN2+eWv9XOnTowNLT04utd/HixQwA8/HxYSkpKSrFlJyczIYMGaJUHEYxsHXKlIKL/4cPBclU9+7d+c8hPz9fN7EShSgZ0CP16tXjf0lMpTkxMzNTo9aAw4cPi/0WiI69efNG5ndF2Ufz5s1ZcnKywvoDAgKYra0tc3FxYYGBgcXeZVAoKyuLBQYGMhcXF2Zra8sCAgJYmzZtFMbTsGFDw/49DwhgbMYMxgIDGXv0iLHhw5VKBqS7C5o3b66jYIkilAzoiTNnzvC/IA8fPhQ7HJ24fv26RolAfHy82G+B6Ehubi7z8/NT+/+Km5sbi4uLU/p8z58/Zz169GAAmKOjI5swYQLbunUru3HjBgsODmY3btxgW7duZRMmTGCOjo4MAOvRowd7/vw5X8fevXuViu3Fixfa+Mh0b+RIpZIBxhi7e/cu//4vXbqk/diIQpQM6AHp7oEvvvhC7HB0wtfXV+0v9l69eokdPtGR//3vf3L/D9jY2LAxY8Yo9f/FxcWFvXz5Uq3zh4aGsm+++Ya5u7sXGaPAcRxzd3dn33zzDQsLC5N7fGxsrFIxbtiwQZOPST+okAwwxtinn37Kv3/pwZxEHJQM6IHatWvzvxQG3WyohPT0dI1aA44fPy72WyBaFhUVxVq0aCH35798+XK+nzkpKYlZW1uX+P/F0dGRhYeHCxJXamoqu3fvHrtx4wa7d+8eS01NVfpY6X7y4h41a9Y07D50FZMB6e6Chg0bajc2ohDNMyCy06dP4/nz5wCAsLAwo56q8+rVq7C1tVX7+MTERPTp00fAiIi+yM7OxpQpU8BxHGrWrMmvxwEA/fr1Q2JiIhhjmD59Oj8dsIODA/r3719snQ4ODjh37pxg6wLY2dmhSZMmaN26NZo0aaLSFMNnzpwpdhrlQlFRUTA3NzeZ5Y45juNXegwJCcGff/4pckSmjZIBEeXm5qJXr14AgGHDhsHd3V3kiLRn7Nix+Oijj9Q6tl+/fmCMoVy5cgJHRcT2xx9/gOM42NjYYO3atfzrjo6OuH37NhhjOHz4cLE/+5EjRxZ5jeM4lCpVCqdPn0ajRo20Fruq+vbti8TERIXl6tati5UrV+ogIvE1atQI/fr1AwB8/PHHyM/PFzkiEyZyy4RJq169Ot9MZqzS0tI06hY4ffq02G+BCOzx48fF3g3w22+/qdRVlpeXx5ydnfn+fI7jmKWlJTt79qwW34Hm+vfvr/D/fvny5Q2rL13FboJC0t0F9evX105sRCFqGRDJyZMn8fLlSwDAkydPRI5GOy5duqTRam1JSUno0aOHgBERsaSnp+Prr78Gx3GoX78+nj59yu8bMWIEUlNTwRjD2LFjVeoqMzc3x/Dhw8H+XWKF4zjs27cP3bp1E/w9COnQoUM4c+ZMiWUSExNhYWGBR48e6SgqcXAch4cPHwIAHj9+jHPnzokckWmiZEAEOTk5fN/3yJEjUa9ePZEjEt6oUaP4uchVNWjQIDDG4ODgIHBURJcYY9i6dSs4joOdnR22bdvG76tTpw7CwsLAGMPOnTs1Shqluwq2bt1a4jgCfdK9e3ckJycrLOfh4QF/f38dRCQeT09Pfs2J7t27Iy8vT+SITA+tWiiCKlWq4M2bNwAAY/v4U1NTYW9vr/bx586dQ9euXQWMiOja/fv30bt3b8TExBTZV9zKgJpasmQJXFxcMHz4cMHr1oWRI0di165dJZaxsrJCWloaLC0tdRSVikaNAnbuBPz9AT8/lQ9njPGDQ+vUqWMyAyn1BbUM6NixY8f4RCA8PFzkaIR1/vx5jRKBlJQUSgQMVHJyMgYOHAiO49C0aVOZRGDSpEnIzMwEY0wriQAAzJ0712ATAQDYuXMnLl26VGKZnJwcWFlZ4f79+zqJSdc4jkNYWBgAICIiAqdPnxY5ItNCyYAO5eTk4PPPPwcA+Pj4CHbLkz4YPHiw2v20I0aMAGMMZcqUETgqok2MMaxevRocx6Fs2bI4ePAgv69JkyZ4/vw5GGNYt24dbGxsRIzUMHTs2BHp6ekKyzVt2hSzZ8/WQUS65+7uzieMvXr1Qm5ursgRmQ7qJtChSpUqIT4+HoDxdA8kJyejbNmyah9/8eJFdOrUSbB4iPZdu3YNn3zyCdLS0orsO378OM0FIYCJEydiw4YNCstlZWXB2tpaBxHJcfcu4Ov73/OICCA+HqhWDaha9b/XjxwBnJ1VqrpwEKmLiwtevHghRLREAWoZ0JFDhw7xiUBERITI0QgjKChIo0QgLS2NEgEDERcXh08++QQcx6Fdu3YyicCcOXOQk5MDxhglAgJZv349rl+/rrCcjY0Nbt68qYOI5EhJAf7557/Hv99vePVK9vXsbJWrLrzDKjo6GidPnhQyalIcnd/MaIKysrL4+2jHjx8vdjiCUOY+6eIePj4+YodPlJCXl8cWLVok92fYoUMH9vr1a7FDNHrKruo5adIksUMV3MiRI/n3p2jlSKI56ibQgXLlyiEpKQmA4XcPvH//HuXLl1f7+MuXL6s9EyHRjXPnzqF79+5FXjc3N8e5c+fUvmWUqO+7777DL7/8orBceno6SpcurYOIdKOwu8DZ2Vnu3SlEONRNoGV//PEHnwhERkaKG4yGTp48qVEikJ6eTomAnnr16hXatWsHjuOKJAJLly5Ffn4+8vLyKBEQyc8//4y7d+8qLGdra4vLly/rICLdKLzj6s2bNzh27JjI0Rg5kVsmjJp0E5+hN+P17t1b7W4BX19fscMncuTk5LAZM2bI/Zl9+umnLD4+XuwQyQdycnKYpaWlwt+5UaNGiR2qYHx8fKi7QAeom0CL7Ozs+FuFDPVjTkhIQMWKFdU+/vr16/Dy8hIwIqKpo0eP8ovDSCtbtiyCgoLQunVrEaIiqli4cCEWLFigsFxKSopR3LJb2F1QsWJFxMXFiRyNcaJuAi3Zu3cvnwgY6q0xR44c0SgRyMzMpERATzx79gwNGzYEx3FFEoFff/0VEokE79+/p0TAQMyfPx+hoaEKy9nb2+Ps2bM6iEi7Cu/Aio+Px6FDh0SOxjhRMqAFmZmZ/MQZU6dOhYuLi8gRqa579+5qz/E+depUMMZoohmRZWZmYty4ceA4DnXr1uUXgwGAIUOGIDk5GYwxTJw4UaXFgYh+8PDwQF5ensJxPJ988gkGDhyoo6i0o3bt2pgwYQIAYMCAAchW43ZFUjLqJtACGxsb/j+roX28cXFxcHR0VPv4mzdvomXLlgJGRFTBGMPvv/+OESNGFNnn4uKCkydPomHDhiJERrRp+fLlmDlzpsJyiYmJKFeunA4i0o7CpNXBwYEfmE2EQS0DAvv999/5RCA6OlrkaFTzxx9/aJQIZGVlUSIgkocPH6JGjRowMzMrkgjs3LkTEokEL168oETASM2YMUOptU7Kly+P48eP6yAi7Si8Iys5ORkHDhwQORrjQsmAgDIyMvjFUmbMmIHq1auLHJFyGGPo0KEDv4Soqr777jswxsSbFtVEpaamYtiwYeA4Dg0bNpRJPseOHYuMjAwwxjBixAjqBjABrq6uyM/PV9gt2bdvX/To0UNHUQmrZs2a+OabbwAULHWelZUlckTGg7oJBGRubg6JRALAcLoH3r17h8qVK6t9/J07d9CsWTMBIyIlYYxhw4YNmDRpUpF9np6eOHr0qFEtgEXUs2HDBkycOFFhudjYWFSqVEkHEQmrMLktXbq0Uos7EcWoZUAgO3bs4BOBV69eiRyNcvbs2aN2IsBxHLKzsykR0JFbt26hfPnyMDMzK5IIHDp0CIwxPHz4kBIBAgDw9fVFVFSUwnKOjo4G2dxeeIdWRkYG9uzZI3I0xoGSAQGkp6dj9OjRAIDZs2ejqvSKXXqIMYbWrVtj2LBhah3v5+cHiUQCKysrgSMj0hISEtCnTx9wHIdWrVrh/fv3/L7p06cjOzsbjDG17/ogxq1GjRqQSCRo0KBBieUGDRqEdu3aGUxrJlAwGHbatGkAgGHDhiEjI0PkiAwfdRMIQLo/Vt8/zpiYGI2SleDgYDRq1EjAiIg0iUSCn3/+GXPmzCmyz8vLCwcOHDCYsShEf2zfvh1fffWVwnIxMTFwVnG5YTEVfvdaWloiJydH5GgMG7UMaGjr1q38tr4vpLFr1y61EwFra2vk5ORQIqAlly5dgqWlJczNzYskAmfOnAFjDNevX6dEgKhl9OjReP36tcJyVapUwc6dO3UQkTAKu2Rzc3Oxe/dukaMxbJQMaCAtLQ0+Pj4ACprO9TWjZoyhadOmGDlypFrHL1y4EFlZWbC0tBQ4MtP25s0bdOzYERzHoXPnzsjLy+P3LViwAHl5eWCMyV1BkBBVValSBRKJBG3atCmx3KhRo9CoUSO9b+UEgKpVq2LWrFkAgBEjRtBgQg1QN4EGDKF74NWrVxr9Nfnw4UN4enoKGJFpy8vLw/z587F06dIi+7p3747du3drNNcDIcrYt28fhgwZorDcixcvDGIGVUP4LtZ31DKgps2bN/Pbb9++FTGS4m3ZskXtRMDe3h65ubmUCAjk5MmT4DgOlpaWMomAra0trl69CsYYzpw5Q4kA0YnBgwfj3bt3CsvVqFEDGzdu1EFEmpHuAtm+fbuIkRgw7S+MaHySk5P5JTUXLFggdjhFSCQSVr9+fbWXHF62bJnYb8EoREZGsmbNmsn9jFeuXMkkEonYIRLCunXrpvA7oWbNmiw/P1/sUEvk5+fHx5uamip2OAaHugnUoM9NUi9evEDNmjXVPv7x48dwc3MTLiATk52djRkzZuDXX38tsm/AgAEICAhA2bJldR8YISU4duwYPv/8c4XlwsPD9XouC33+btZ31E2gog0bNvDbsbGxIkZS1MaNG9VOBBwdHZGXl2dcicCTJ8C6dcCoUUDDhoCFBcBxwOLFgp9q37594DgONjY2MolA5cqVcffuXTDG8Mcff1AiQPRS3759kZiYqLBc3bp1sWLFCh1EpJ43b97w29JduUQJorZLGJikpCS+GWrx4sVih8PLz89ntWvXVrtbYPny5WK/Be2YMoUxoOjD31+Q6sPCwpirq6vcz3TLli3UDUAMUr9+/RR+Z5QvX57l5eWJHapcCxYs4ONMSUkROxyDQd0EKtDHJqjIyEjUrl1b7eOfPn2KunXrChiRHtmypaB1oGlToFkzYOlSYPduwN8f8PNTq8r09HT4+vpi165dRfaNGjUKv/76K2xtbTWNnBBRnTlzRqnFjMLCwuDu7q6DiFSjj9/V+o66CZS0bt06fjsuLk7ESP6zbt06tROBatWqIT8/33gTAQDw8QF++QUYOhSoXx8wU++/O2MMAQEB4DgOdnZ2MolAvXr18OjRIzDGsH37dkoEiFH45JNPkJycrLCch4cH/P39dRCRaqTvlDCEuyH0ASUDSkhKSsLkyZMBAD/++CMqVqwoajwSiQTVqlXjY1LVmjVr8PLlS5ipeXE0FXfv3oWTkxPMzMwwduxYmX379u0DYwxPnjxB/fr1RYqQEO2xt7cHY4xflr048+bNg5WVFXJzc3UUmWKOjo5Y/O/YIF9fX6USG1NHVwMllCtXjt8unO1KLOHh4TA3N1dqalF5IiIi1E4iTEFSUhK8vb3BcRyaN28uM0h08uTJyMrKAmMMgwYNEjFKQnRn165duHTpUollcnNzYWVlheDgYN0EpYS5c+fy2zRwVzFKBhRYtWoVvx0fHy9iJMCKFStQr149tY6tU6cO8vPzNRpfYKwkEglWrFgBjuNQrlw5HD58mN/XvHlzREZGgjGGNWvWwNraWsRICRFHx44dkZaWprBckyZNZC7CYpPu0pXu6iVFUTJQgsTERH6ZzOXLl6NChQqixJGfn49KlSphxowZah2/ceNGPHv2jLoFPnD16lWULl0a5ubmRT7bkydPgjGG27dvazRvAyHGwtbWFowx+Pr6llhu6dKl4DhOL1YRrFixIn788UcABS17SUlJ4gakx+hughLow4hUTfuko6KiUKNGDQEjMmCjRgE7d2J77dr46vnzIrv9/Pwwf/58WFhY6D42QgzIjRs3FC54BAC3b99G8+bNdRBRyfThu1zf0Z+Kxfjll1/4bWUm49CGH3/8Ue1EwN3dHRKJhBIBFLSsLFiwADv+XZo1QioR6NSpE2JiYsAYg7+/PyUChCjBy8sLmZmZCsu1aNFC7RZNISUkJPDb0l2/RIrOZzYwAPHx8fykFatWrdL5+XNzc5m9vb3akwgFBAToPGZ9FBQUJPO5bP930qF5Zmbs0qVLYodHiFGYMWOGUt9LmZmZosa5fPlyPpaEhARRY9FH1E0gh5hNSqGhoWjQoIHax798+RLVqlUTMCLD8vLlSwwYMAA3b94ssu9B8+ZoeOeORpMOEUKKunPnDlq0aKGw3PXr1+Hl5aWDiOSj7oLiUTfBB5YtW8Zvv3//XqfnXrRokdqJQJMmTfj5B0xNTk4Opk+fDo7j4OLiIpMIfPbZZ0hISABjDA01SLIIIcVr3rw5srOzFZZr06YNvvnmGx1EJJ90l+/PP/8sWhz6iJIBKXFxcfj+++8BFNyGoqt7U3Nzc2FtbY358+erdfyOHTtw7949mazXFBw6dAgcx8Ha2horV67kX69QoQJu3rwJxhiOHTuG8uXLixglIUYsMBAYMQJo3BhW1aqBWVgg09oa/wCYDUDefJy//vorOI5TasyB0MqVK4fVq1cDKJgzRuzbxfUJdRNIEaMJ6cGDB2jcuLHax79+/RpVqlQRMCL99uzZM/Tt2xdhYWFF9m3YsAHjx4//7+d49y4gfRtURAQQHw9UqwZUrfrf60eOAM7OWo6cECPUvj1w7Rrg7g5Urw6ULw+8ewfJtWswy8pCOICOAN4Uc/iVK1fQvn17HQZcgLoL5BBrsIK+8ff35weXJCcn6+Scc+fOVXuQoJeXl8msipeZmcnGjx8v93MYNmxY8SuTXbwof9XCDx+Rkbp8O4QYjxs3GJM3GC8+nuW3a8cYwPYo+C4bM2aMzsOWXoF2yZIlOj+/PqKWAQCxsbFwcnICUDBBz/jx47V6vpycHI1msgsMDMTQoUMFjEg/7d27V+77dHFxwalTpzQaaEkI0bIrV4AOHZBRqhRslegSSEtL0+lCX+vXr8ekSZMAFFwDKlWqpLNz6yNKBqDbJqN79+6hWbNmah//9u1bPnExRk+ePEGfPn0QHh5eZN/27dsxcuRIkxsbQYhBun4daNsWcHZG6LlzSiXvFy9eRKdOnbQf27+ou+A/Jj+AcMGCBfx2SkqKVs81a9YstROBjz76CBKJxCgTgYyMDPj4+IDjONSvX18mEfjqq6+QlpYGxhhGjRpFiQAhhiA1FSj8bv3sM3h6eiI3NxcODg4lHta5c2eMHDlS+/H9S3o1w0WLFunsvHpJxC4K0b1584bvN9q8ebPWzpOVlaX22AAA7MCBA1qLTSwSiYTt2LFD7vt1dXVlYWFhYodICFHWmTOMjRzJ2PDhjHXvzliZMgXjcXr0YCwpSabosmXLlPreK3YskMB+++03/pxv377VyTn1kUl3E+iiiejWrVto1aqV2scbW19WaGgoevfujRcvXhTZ9/vvv2PYsGEiREUI0cjq1cC338q+NnQosHIlIKc1U9k1V86ePYtu3boJFGTxqLvAhLsJ/KRmoEtNTdXKOb799lu1E4GuXbuCMWYUiUBaWhpGjBgBjuPQoEEDmURg3LhxyMjIAGOMEgFCDNXUqQX35uTkAM+eAStWAKdPAx4ewOXLRYq7ubkhLy8Pjo6OJVbbvXt3DBo0SEtB/0e6i3jevHlaP59eErNZQiyvX7/mm4W2bt0qeP0ZGRkadQscPnxY8Jh0TSKRsICAALnvz93dnT19+lTsEAkh2nTjBmMcx1j16oxlZBRbbMWKFUp9LyZ90N0gtC1btvDniomJ0eq59JFJdhNos0no+vXraNu2rdrHx8fHo0KFCgJGpFvBwcHo1asXYmJiiuzbv38/vvjiCxGiIoSIokEDIDS0oHXgo4+KLfbs2TPUrVtXYXWnTp1Cr169hIxQhil3F5hcN8Hs2bP57bS0NEHrnjhxotqJQK9evcAYM8hEICUlBUOGDAHHcWjSpIlMIvDNN98gKysLjDFKBAgxNYXzBsTGlljM1dUV+fn5cHFxKbFc79698fnnnwsUXFHS14Q5c+Zo7Tx6ScxmCV179eoV3wy0Y8cOwepNT0/XqFvg+PHjgsWiKxKJhG3YsEHu+2ncuDGLiIgQO0RCiJji4hizti64q+DBA6UPW7dunVLfm4mJiVoJW/oup1evXmnlHPrIpLoJCpuAzM3NkZeXJ0idV69exUclNH8pkpiYiHLlygkSiy7cvXsXPXr0QFxcXJF9R44c0WrWTgjRI2FhwL17gLc3YGMju+/pU2DcOODSJcDLq2ACIhVERkaidu3aCssdO3YMn332mUp1K8Pc3BwSiQSA6XQXmEw3wYwZM/htoSYXGjNmjNqJQL9+/cAYM4hEICkpCQMGDADHcWjevLlMIjBt2jRkZ2eDMUaJACGmJDYW+PJLoGLFgvEAQ4YUJAYtWxYsXHTpUsG/+/erXHWtWrUgkUgUjiPo27cvevbsqeYbKJ70HWYzZ84UvH69JGq7hI5ER0fzzT6///67xvWlpaVp1C1w+vRpAd6VdkkkErZmzRq58bdo0YJFRUWJHSIhREyxsYwtWVIwsVDNmozZ2jJmZcVY5cqMdevG2MaNjGVlaXyaTZs2KfW9GhcXJ8Cb+s/u3bv5uqOjowWtWx+ZRDdBYfeAjY2NxmtoX7x4EV26dFH7+KSkJIVTcorp5s2b6N69u8w0nYVOnDiBTz/9VISoCCGm7OXLlwoHFwLAH3/8gQEDBgh2XhsbG2RnZwMw/u4Co+8mmDJlCr+dmJioUV0jRoxQOxEYPHgwGGN6mQgkJibis88+A8dxaN26tUwiMGvWLOTk5IAxRokAIUQU1atXh0QiQaNGjUosN3DgQHTq1EmwC/f79+/57alTpwpSp74y6paBFy9eoGbNmgCAffv2qT2TVWpqKuzt7dWO49y5c+jatavax2uDRCLBypUr5faHtWnTBgcOHEC1atVEiIwQQoq3Y8cOjB49WmE5oVZ43bdvH4YMGQIAiIqKQo0aNTSuUx8ZdTJQ2D1gZ2en9pTD58+f12hu7JSUFJQpU0bt44V27do1dOvWDRkZGUX2BQUF4ZNPPhEhKkIIUV5MTAyqVq2qsNyePXv4C7kmypQpw89BYKyXTKPtJpg0aRK/Le82OGUMHjxY7URgxIgRYIzpRSIQHx+Pnj17guM4tGvXTiYR+OGHH5CbmwvGGCUChBCDUKVKFUgkEoVrvwwdOhRt2rTR+AIufQ2RvrYYE6NsGZC+R1WdASXJyckoW7as2ue/ePEiOnXqpPbxQpBIJPjpp5/w/fffF9nXsWNH7N27F87OziJERgghwgkMDMSXX36psFxMTIxG33kHDx7EwIEDAQDPnz9HrVq11K5LHxllMlDYPVCuXDmVBw2ePn1ao7mv09LSYFs4BacI/vrrL3Tt2rXIpEocx+H8+fMa3QlBCCH66O3bt0pd6Hfu3IkRI0aofZ7y5cvzgwqN7dJpdN0E48aN47ffvHmj0rH9+/dXOxEYM2YMGGOiJALv3r3Dxx9/DI7j0KlTJ5lEwN/fH3l5eZBIJJQIEEKMUuXKlSGRSBROAjdy5Eg0bdpU7Qu59DVl7NixatWhr4yqZSAiIgKurq4AgMOHD6Nfv35KHff+/XuUL19e7fNeuXIF7du3V/t4deTn52Px4sVYsGBBkX3dunXD77//rnCtcEIIMTYHDhxQ6s6xly9fqnXH1JEjR9C/f38AQHh4OH/NMXRGlQwUdg9UqlQJsQpWySp04sQJjea2Tk9PR+nSpdU+XlUXLlyQe5uitbU1zp49iw4dOugsFkII0UdxcXFK/TEUEBAAHx8flet3cnLirzGKLqE5OTmIjIyEm5ubyufRJaPpJvj666/57VevXil1TO/evdVOBHx9fcEY00ki8ObNG3To0AEcxxVJBH788Ufk5+cjKyuLEgFCCEHBH4SMMYXzu4wZMwb169dXudvg5cuX/PZXX31VbLm7d++iefPmqF+/Pu7fv6/SOXROJ5Mea9nTp0/5OaSPHTumsHx8fLxGawtcv35d6+8pNzeXzZ07V+75e/XqJfg83IQQYoyOHDmi1Pe6quutHDt2jD/2yZMnMvuys7PZDz/8wMzNzfkyu3fvFvJtCc4ougkKuweqVKmC169fl1hWur9HHZmZmbD5cLlOAQUFBcldhcvOzg5nz55FmzZttHZuQggxRomJiahQoYLCcuvXr4evr6/S9VarVo2/5hReSu/du4eRI0ciJCREpqy/vz/8/PxUiFq3DL6bQPo2kaioqBLLdu3aVe1EYOrUqWCMaSURePXqFby8vMBxXJFEYMWKFZBIJEhNTaVEgBBC1FC+fHkwxtCnT58Sy02cOBG1a9eGRCJRqt7IyEh+e9CgQZg/fz5atWpVJBEAFF+fRCdqu4SGHj9+zDfBnDx5sthysbGxGnUL3Lx5U/DYc3Jy2HfffSf3fH379mWJiYmCn5MQQkzdyZMnlfrej4iIUKq+U6dOKVVfly5dtPzONGPQLQP169cHALi4uKB3795yyxw4cECjW+yysrLQsmVLtY//0MmTJ8FxHKysrPDzzz/zr5crVw7//PMPGGM4evQoypUrJ9g5CSGEFOjdu7fMaoTFqVOnDtasWVNimdzcXNy6dUup8+p7y4DBJgNDhw7lt589e1ZkP2MMH330kdorFX733XdgjMHa2lrtGAu9ePECzZs3B8dxRZqp1q1bB4lEgsTERIXzbBNCCNFc2bJlwRhTOFX91KlT4ezsjPz8/CL7goOD0apVK7lzvcgTHR0ttx69IW7DhHrCwsL4ppfTp08X2f/27VuNugXu3LmjcYzZ2dls6tSpcusfOHAgS0pK0vgchBBCNBMUFKTUdaHwjoGcnBy2cOFCZmFhofK15cWLFyK/2+IZ3N0EjDGYmRU0aNSpU6dIq8CePXswbNgwtermOA5ZWVmwsrJSO77i7lZwcnLC6dOn0bRpU7XrJoQQIryUlBQ4ODgoLDd16lT89ddfuHfvnlrn+euvv/R2PhiD6yaQbvZ//Pgxv80YQ+vWrdVOBPz8/CCRSNRKBJ4/f45GjRqB47giicCmTZsgkUjw9u1bSgQIIUQP2dvbgzEm0/0sz+rVq9VOBADZuw/0jUElAw8fPsQff/wBADhz5gwsLCwAFCxNaWZmhps3b6pVb3BwMPz9/VU6Jjs7G5MmTQLHcahTp47MrSTDhg1DSkoKGGMYN24cPw8CIYQQ/RUYGIgLFy5orX59HkRoIXYAymKMoWHDhgAANzc3dO/eHUDBkpSjRo1Sq04bGxukpKTA0tJS6WOKWwSjevXqOHXqFB8jIYQQw9OlSxekpqaiTJkygtetz8mAwbQMeHt789uhoaFgjKFx48ZqJwKLFi1CZmamUolAeHg43N3dwXFckURg27ZtkEgkiI6OpkSAEEKMgJ2dHRhjMmveCEGfuwkMYgCh9OCOCxcuoG7dunBxcVG7vtDQUHh4eJRYJjMzE1OnTsXmzZuL7Bs1ahR+/fVX2Nraqh0DIYQQ/XflyhXBBv3VqFFDb1sHDCIZSExMROfOneHt7Q1nZ2eMHTtWrXrs7e2RkJDAjzWQJzAwEF9++WWR12vXro0TJ04oTCIIIYQYl4yMDEH++DM3N0dWVlaJ1yCxGEQ3Qfny5REcHIzMzEy1E4Fly5YhOTlZ7g/h0aNHqFOnDjiOK5II7Nq1C4wxREREUCJACCEmKD8/H3Xr1hWkHunlj/WJqOlJWloanj17huzsbFhbW8PV1RV2dnZyywYGBuLHH39U6zyPHz+Gm5ubzGvp6emYNGkSduzYUaT8mDFjsGbNGpQqVUqt8xFCCDEOhXeFhYeHC1JfVFQUatWqxT9X5TqoTTpPBsLCwrBp0yacO3cOT548gXQvBcdxcHNzQ7du3TB+/Hj+L/H8/HzMnDlT5XM5OjoiJiYG5ubmAAp+qDt27MBXX31VpKybmxuOHz+OevXqqfnOCCGEGJstW7Zg7969gtUXFRWl1nVQ23Q2ZiAyMhK+vr4ICgqCo6MjvL290bJlS3h4eKB06dLIyMhAWFgYbt26hUOHDiE2NhY9evTAhg0bkJCQoPJiQcuXL8f06dMBFMxP0KtXL7nNM/v27ePvEEhNTcXu3btx9+5dtGrVCl999ZVe9u0QQgjRvgcPHqB169bIysoSrM7atWvj+fPnKl8HpVsTtEIXcx4HBAQwW1tbVqNGDRYYGMiys7NLLJ+dnc0CAwOZi4sLs7W1ZX5+firN/xweHs5SU1PZsGHD5O739fVlmZmZ/PmSk5PZ4sWLWfny5WXKjRs3TtsfDSGEED0kkUhYs2bNNFrnRt7D3t5eretgQECAVt+v1pOBxYsXMwDMx8eHpaSkqHRsSkoK8/HxYQCYjY2Nwg+5WrVqbMOGDXL3NWjQgD179kym/uTkZObv78/KlSsn9xgrKyuWnp4u5MdBCCHEADx69EjwRAAAa968OZNIJErHIX0dXLx4sdber1aTgYCAAAaA+fv7a1TPokWLFH7AZcqUkfv6wYMHi9SXlJTEFi1aVGwSIP3Q51WmCCGEaIemq9+W9Pjf//6ncjyF18EtW7Zo4d1qMRl4/vw5s7W1ZT4+PhrXJZFI2Ndff80sLS2Zubm5wg966tSpcptgkpKS2MKFC1nZsmWV/qFRMkAIIabpu+++00oy0LJlS5VaBxgruA76+PgwW1tb9vz5c8Hfq9YGEPbs2ROPHj1CSEiIIHM8p6SkoGHDhnB1dUW1atWwa9cumf3NmjXDoUOHULNmzSLHJiUlYc2aNVi9ejWSkpJUOm90dDSqV6+uQeSEEEIM1Y0bN/C///0PDx48QHBwsGAzCEZGRsq9XpWk8Dro4eGB06dPCxJHIa0MlQ8LC0NQUBACAwMFW+zB3t4ey5Ytw7BhwzB48GD+9ePHj6NPnz5yj0lKSsLq1auxevVqJCcnCxIHIQoFBgJnzgDBwcCbN8D790Dp0oCbG9CvH/DNN4AI9xETQlTn5eUFLy8v/nlycjIePnyIBw8eyDzS0tJUqjcuLk7lZED6Ovjo0SO4u7urdHyJBG9rYIx98803zNHRUW5TfXZ2Nlu7di3r3r07q1atGrOysmKVKlVi/fr1Y3fv3i2x3qysLObo6Mi++eabEsslJiayefPmMQcHB42bc16+fKnRZ0FMULt2jHEcYx4ejH3yCWNDhjDWpQtjpUoxBjDm6srY69diR0kIEUh+fj6LiIhgR44cYQsXLmTe3t4ldkc3bNiQ7yb466+/2KeffsoqVKjArKysmKurK5s7d26xg9eVvQ6qSivdBO7u7ujcuTM2bNhQZN/bt29RtWpVfPTRR3Bzc0O5cuXw/PlzHD9+HBzH4fLlyyXOKeDr64tLly4hLCysyL6kpCSsWrUKq1evRkpKiiDvpXPnzqhQoQKAgskgChVua+s1bdevj69JPzfk15yjo5FUqRKySpeWKWeTno4+W7eiamQknjRtijNSK27q23uQ95r0VwUrGG+ktee6OIcyz0v6Vxt1qvuvLs6l7vvV9c9ZG3V++NzS0hITJ05Ep06dil2zwN3dHe3bt8eYMWMQHByMBw8eICYmBrVq1YKfnx/Kli2LjRs3YuLEiShbtiz69OkDR0dH3L59G5cuXULbtm1x8eJFWFlZFam7pOug2hTnC6pJSUlhHMexbdu2yd2flZXFXr16VeT1hw8fMjs7O9a1a9cS69+6dSvjOI6lpqbKvP7ixQtWt25drQz2oAc9hHq0BxgDWLwexEIPetBDs0fNmjXlDjJXdB1kjLHQ0FBmYWHBGjduzOLj42X2LVu2jAFgy5cvV+k6qAnBk4F79+4xAOzGjRsqH9unTx9mZWXFcnJyii1z48YNBoDdu3dP5vWpU6eK/h+DHvRQ9PBCQTLwWg9ioQc96KH5Q15zvTLXwcmTJzMA7PLly0X25efns0qVKrHmzZurdB3UhOADCLOzswEApf9tIpXn/v37+Pnnn3H16lW8ffsWubm5Mvvj4+Ph7Ows99jCxYMKz1MoOjpak7AJ0To7AAv+3T4uYhyEEOHIm+ZemevgjRs3AABnzpzBhQsXiuy3tLTE48eP5R5b3HVQE4InA9bW1gAK1n+W59q1a+jSpQsAoHv37qhbty7s7OzAcRyOHj2K4ODgEt9gZmamzHkKDRgwAIcPHxbiLRAiiG4AhqJgnXAnAG0A2AM4DWCWiHERQoQzYMCAIq8pug4CQGJiIgBgyZIlKp+zuOugRgRrY/hXampqiX0lvXr1YgDYlStXiuz75JNPGAAWGRlZbP0l9ZUEBAQoNasgPeihi8cUFHQJSD9+B5ijHsRGD3rQQ7NHmzZtip0NUNF1kDHGr3ug6jT9iq6D6hK8ZcDOzg5ubm64desWRo8eXWR/REQEypcvj/bt28u8npGRgbt37yqs//bt26hfv77c9Z59fHzwxRdfYO3atVixYoXKEwzJExMTU2yXBSFKyc0FoqOBY8cwbPFiDOM44MgRoEMHvgiTc1OPKq99+Lo2Xivp7g9Fz1Upo8pzQvSRousgALRu3Rp3797FjRs30K1bN5XqL+k6qDbB0gopJc0z0L17d8ZxHHv48CH/Wl5eHpswYQKfcRXXMqDK/ZWF6w+oMvWwvEdMTIzanwMhRdy4UTAHQfXqjGVkiB0NIURLSroOMsZYSEgIs7CwYG5ubnLvSHj//r3cuXe0Nc+AVpKB0NBQBoAFBgYW2XfixAkGgJUtW5aNHTuWTZ48mTVq1IhVqFCBderUqcRkIDAwkAFgYWFhSsfy/v17tnDhQrUnIKJkgAjO07Og20DOKGJCiHEo6TpYaPPmzczc3JzZ2Niw/v37s5kzZ7Lx48ez7t27M2trazZu3Lgix6hzHVSG1hYq6tGjB6tRo4bc/pCDBw+yZs2asdKlS7OKFSuyL774gkVERLCRI0cWmwwkJyczFxcX1qNHD7Xief/+PZs/f77KScGbN2/UOh8hxWrVqiAZkLOiJiHEeJR0HSx08+ZNNnjwYFalShVmaWnJKlasyJo1a8Zmz57NHj16JFNW0+tgSQxm1UKhVmt6//49mzdvHrO3t6dkgOheXBxj1tYFycCDB2JHQwjRIn29DsqjtWSAsYLR/QCYv7+/2nVIJBKtrOOcmJjIfvjhB1amTJkSk4EPZ4YipEShoYz9/jtjmZlF9z15wlinTgWJgJeX7mMjhOicPl8HpWk1GWCMscWLFzMAzMfHR+VbKJKTk5mPjw8DwJYsWaKV+BISEpifn5/cpMDV1VUr5yRG7OLFgou9rS1j7dszNngwY/37M9aiBWNmZgX73N0ZkzNgiBBinPT9OsiYDpIBxgoyI1tbW+bi4sICAwOLHV1ZKCsriwUGBjIXFxdma2urtUxIWnx8PJs7dy7ffeDo6KjWlMrExMXGMrZkCWM9ejBWs2ZBUmBlxVjlyox168bYxo2MZWWJHSUhRMf0/TqolVUL5YmMjISvry+CgoLg6OgIb29vtGjRAp6enihVqhQyMzMRGhqK27dv49ChQ4iNjUWPHj2wYcMG1KpVSxchAgDy8vIQFRWFWrVqwdzcXGfnJYQQYtz0+Tqos2SgUFhYGDZt2oTz58/j8ePHMpObcByH+vXro2vXrpgwYQLc3d11GRohhBCidfp4HdR5MiAtLS0Nz549Q3Z2NqytreHq6irsjEqEEEKIHtOX66CoyQAhhBBCxGcmdgCEEEIIERclA4QQQoiJo2SAEEIIMXGUDBBCCCEmjpIBQgghxMRRMkAIIYSYOEoGCCGEEBNHyQAhhBBi4igZIIQQQkwcJQOEEEKIiaNkgBBCCDFxlAwQQgghJu7/t+DNV98SM5sAAAAASUVORK5CYII=", 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F5Z88eQKO4zBx4kQAgLW1NQICArBs2TL4+vpi69atGoiaEKJpNICQED0VGxuLefPmwdvbG76+viody9fXF0+fPsXcuXPRs2dPGkNAiJ6hlgFC9JSPjw/s7e2xdu1alY/FcRx+/PFH1KhRAz4+PgJERwjRJpQMEKKHIiIiEBQUhO+++67SrgF52djYYOXKlQgKCkJkZKQgxySEaAdKBgjRQxs3boSDgwOGDx8uc39RURFWr14NV1dXVKlSBa6urli5ciUkEkmFx/Xy8oKDgwP8/f3VETYhRCQ0ZoAQPRQSEgIvL69y7xqYOnUqtm3bBhcXF8ycORO5ublYu3YtLl++XOFxzc3N4eXlhTNnzqgjbEKISKhlgBA9k5GRgaioKLRt21bm/tDQUGzbtg0tW7bEvXv38OOPP+K3337DnTt3cPXq1UqP7+npiQcPHiAzM1Po0AkhIqFkgBA9ExMTA8ZYuVMJ//HHHwCAr7/+GpaWlvzrdevWxdy5cys9voeHBxhjePTokTABE0JER8kAIXomLy8PAFC1alWZ++/evQsA6Nq1a5l9sl57m4WFhdR5CCG6j5IBQvSMubk5ACA7O1vm/rS0NBgZGcHe3p5/LT09HT4+PvDy8gIAHD58GEuXLkVaWlqZ+jk5OVLnIYToPkoGCNEzrq6u4DgOERERMvdXq1YNEokEycnJAICsrCx4enrC398fKSkpAIoThmXLlqFRo0bYvHkzioqK+Prh4eHgOA6urq7qfzOEEI2gZIAQPWNlZYUmTZrg+vXrMve3bNkSAHDx4kUAwMqVKxEdHS2zbFJSEqZNm4bWrVvj77//BgDcuHEDbm5usLKyUkP0hBAxUDJAiB7q06cPDh48iPz8/DL7xo0bBwBYtmwZsrKycPz48UqPFxYWhl69emHw4MHYu3cvevfuLXjMhBDxUDJAiB6aPn06Xr16hQMHDpTZ16NHD0yaNAl3795F8+bNy20VkOXYsWN4/fo1MjIy8ObNGwEjJoSIiWOMMbGDIIQI7/3330dkZCTu3btXZkrioqIi/PDDDwgICEBsbCyU+Riwt7fHsmXLMGXKFJiY0PxlhOgySgYI0VOxsbFo3rw5Ro8ejYCAgHLL9e/fH6dPn1b6PB4eHli7di369u2r9DEIIeKibgJC9JSLiwvWrVuHLVu2wM/Pr9xyzs7OKp0nPDwc/fr1wwcffIAHDx6odCxCiDgoGSBEj3l7e8PPzw9fffUVpkyZgoyMjDJlVE0GSpw4cQLNmzfH3Llz8fr1a0GOSQjRDEoGCNFzS5YsQUBAAPbs2YNmzZph9+7dUncZuLi4CHauwsJC/Pzzz3B1dcWGDRuUGotACNE8GjNAiIGIjY2Fj48PgoKC4ODgAC8vL3h6eoIxBm9vb7Wc85NPPsHmzZthbGysluMTQoRByQAhBiYiIgIbN27EmTNn8ODBA7V/e9+7dy9GjBih1nMQQlRDyQAhBiwzMxPR0dHo2LGj2hYe6tGjBz97ISFEO9GYAUL01N69e3Hjxo0Ky1hZWaFVq1Zo0KCB2uIoWQOBEKK9KBkgRA/Nnz8fo0aNgq+vr1zlhbqjQJY6deqo7diEEGFQMkCInomPj8ePP/4IABg/frxcdYS8o+BtU6ZMUduxCSHCoGSAED3j5OQEALCwsMCYMWPkqqOuloEFCxZg2LBhajk2IUQ4NKE4IXpk7ty5/LYiE/8I3TJgbW2NtWvXYvLkyeA4TtBjE0KER8kAIXoiLi4OP//8M4DiwYNVqlSRu66QLQO9e/fG1q1b+RYKQoj2o1sLCdETJd/AbWxskJaWplDdlJQU2NvbCxJHTk6OQokIIUR8NGaAED0wa9Ysfvvly5cK17ezs4OVlZUgsdSuXVuQ4xBCNIeSAUJ0XGxsLH777TcAwIEDB5T6Vs5xnGBdBWlpadi7d68gxyKEaAZ1ExCi40q6B+zs7JCSkqL0cQYPHoxjx44JFRays7NhYWEh2PEIIepDLQOE6LBp06bx24mJiSodq0WLFqqGI6VGjRqCHo8Qoj6UDBCio2JiYrB582YAwF9//QVzc3OVjifPYkLdu3dHv3795DpeTk4OAgMDVYqJEKIZ1E1AiI4q6R6oVasWXrx4IcgxFy9ejJUrV5Z5vWrVqli9ejV8fHxgZGSk0NwBWVlZqFq1qiDxEULUg1oGCNFBkydP5refPn0q2HFXrFiBgIAANGnSBMbGxrCyssK0adMQFhaGWbNmwcio+CMjJiZG7mNWq1ZNsPgIIepBLQOE6Jjo6Gg0btwYAHD06FEMGjRIbedijJXbCuDj4wN/f3+5jrN9+3ZMmDBByNAIIQKiZIAQHVNyca5Xrx7i4+O1IhZ5ZGZmwtLSUo3REEKURd0EhOiQ0qsQPn78WMRIij158kTuskJNakQIER4lA4ToiAcPHmDnzp0AgBMnTsDU1FTkiID69etjzpw5cpffunWrGqMhhCiLugkI0RElTfLOzs6IjY0VORppinQXZGRkUCsBIVqGWgYI0QFjxozht6Ojo0WMRDZF7miwtrZWYySEEGVQMkCIlouMjMSePXsAAEFBQTAx0b6Vx9955x3Mnz9f7vKbNm1SYzSEEEVRNwEhWowxxt/b7+rqqpWtAqUp0l2QlpYGGxsbNUZDCJEXtQwQosVGjhzJb0dGRooYiXyePXsmd1majIgQ7UHJACFa6v79+9i/fz8AICQkRCu7B95Wt25dfPnll3KXL1l6mRAiLuomIEQLle4eaNq0KSIiIkSOSDGKdBe8efOGWgkIERm1DBCihYYNG8Zv37t3T8RIlKPIcsrVq1dXXyCEELlQMkCIlgkLC8Phw4cBAGfPnoWxsbG4ASnB0dERX331ldzl161bp75gCCGVom4CQrRI6e6BFi1a4O7duyJHpBpFugtev34NW1tbNUZDCCkPtQwQokUGDx7Mb9+6dUvESITx4sULucva2dmpMRJCSEUoGSBES9y5cwfHjx8HAISGhupk98DbatWqhWXLlsld/scff1RjNISQ8lA3ASFaoHT3QOvWrXHz5k2RI1LAxInAjh0VFqkCIE/OwyUnJ6NGjRqqRkUIUYD237hMiAF4//33+e3r16+LGIkKOncGXF1l7or/7js41K0r12Hs7e1B31EI0SxKBggR2c2bN3H69GkAwMWLF/kWAp3j7V3cSiBDTQArV67EokWL5DrUqlWrFJq8iBCiGuomIEREpbsH2rdvj6tXr4ockRJKugl+/73cZKCEIncXvHr1CjVr1lQtNkKIXHT0Kwgh+qFPnz789uXLl0WMRDOSk5PlLuvg4KDGSAghpVEyQIhIrl+/jrNnzwIALl26pLvdAyXOnQM+/xyYOhVYtAj46y8gT3rYYI0aNfDDDz/Ifcjly5cLHSUhRAbqJiBEBKW7Bzp37ox//vlH5IhUUNHdBI6OwLZtQP/+Ui8r0l3w8uVLaiUgRM10/KsIIbrpvffe47cvXrwoXiBCaNkSWL8euH8fSE8HXr4EgoOBTp2A58+BwYOB0FCpKq9fv5b78LVq1RI4YELI2ygZIETDrl69igsXLvDbinxL1kqffgrMmQN4eADW1oCDA9CnD/DPP8CQIUBBATBvnlQVW1tbhdYjWLp0qbAxE0KkUDcBIRokkUj4mQXfe+89nDt3TuSI1OzuXeDdd4u3nz4F3nlHarciiVBiYiIcHR0FDI4QUoJaBgjRoK5du/Lbf//9t4iRaEjTpv/ffvaszO7U1FS5D1WnTh0hIiKEyEDJACEacvnyZf72wevXr+t+94A8UlL+v21tXWZ39erV8euvv8p9uMWLFwsRFSHkLdRNQIgGlO4e6N27N0JCQkSOSEN++gn47DPAxgZITgZMTWUWUyQxSkhIoFYCQgRGLQOEaECHDh347eDgYBEjEdidO8DRo0BhofTrEgmwdStQ8k1+zpxyEwEASEtLk/uUdeVc44AQIj9KBghRs4sXL/KLD928eVO/ugeePCm+Y8DBAejdG/j4Y2DgQMDFpXitgtxcYPRooJK7AWxsbLBp0ya5T7tgwQIVAyeElEbdBISoUenugffffx8nT54UOSKBxcYCP/8M3LhRvJ2SAjAG1KoFtGsHTJoEDBgg9+EUSZSePn2Kd966O4EQohxKBghRo9atW+P27dsAihMDvWoVUIOMjAzY2NjIXZ4+vggRBnUTEKImoaGhfCJw584dSgTkYG1tjS1btshdft5bkxkRQpRDLQOEqEFRURFMTEwAAIMHD8aRI0dEjki3KJI4xcbGwtnZWX3BEGIAKBkgRA2aN2+O+/fvA6DuAWVkZWXByspK7vL0MUaIaqibgBCBnT17lk8EwsLCKBFQgqWlJbZv3y53+WnTpqkvGEIMALUMECKg0t0Dw4YNw8GDB0WOSLeZmpqi8O05DMoRHR0NV1dXNUdEiH6iZIAQATVt2hQPHjwAQN0DQsjOzoalpaXc5enjjBDlUDcBIQIJDg7mE4H79+9TIiCAqlWrYvfu3XKXnzBhghqjIUR/UcsAIQIoLCyE6X/T7Y4YMQJ79+4VOSL9Ym1tjczMTLnKRkZGws3NTc0REaJfKBkgRACurq6IiYkBQE3V6pCbmwsLCwu5y1MXDSGKoW4CQlR06tQpPhGIiIgQORr9VKVKFRw4cEDu8iNHjlRjNIToH2oZIEQFBQUFMDMzAwCMGTMGgYGBIkek3xwcHJCUlCRX2bCwMDRv3lzNERGiHygZIEQF9evXx9OnTwFQ94Am5Ofnw9zcXO7y1F1AiHyom4AQJR0/fpxPBKKiokSOxjCYmZnh6NGjcpcfMmSIGqMhRH9QywAhSij9DXXChAkKzZZHVFe6RaYyt27dQqtWrdQcESG6jZIBQpRQt25dJCYmAqDuATGUvpVTHtRdQEjFqJuAEAUdOXKETwSio6NFjsYwmZiYICgoSO7yffr0UWM0hOg+ahkgRAGluwcmT56MLVu2iByRYXNzc5N7vMa1a9fQrl07NUdEiG6iZIAQBZS+tY3+64iv9MJQ8qDuAkJko24CQuR06NAhPhEomWSIiMvY2Bh///233OW7du2qxmgI0V3UMkCIHPLy8lClShUAwPTp0+Hv7y9yRKS0Vq1a4c6dO3KV/eeff9C5c2f1BkSIjqFkgBA52NnZITU1FQB1D2gjiUQCY2NjucsXFRXByIgaRgkpQf8bCKnE/v37+UQgNjZW5GiILEZGRrh48aLc5T09PdUYDSG6h5IBQiqQm5uLESNGAABmzZoFZ2dncQMi5erSpQs6duwoV9nbt2/j3Llzao6IEN1B3QSEVMDa2hqZmZkAqHtAFzDGFGr+LywsVKh7gRB9RS0DhJTjzz//5BOBJ0+eiBsMkQvHcbh69arc5WlVQ0KKUTJAiAw5OTkYPXo0AGDevHmoX7++yBERebVv3x49e/aUq2xkZCSCg4PVHBEh2o+6CQiRwcLCArm5uQCoe0AXKdpdUFBQoNDkRYToG2oZIOQtu3bt4hOB+Ph4kaMhyuA4Drdu3ZK7vKurqxqjIUT7UTJASCnZ2dkYN24cAGD+/PmoV6+eyBERZbVq1QoDBw6Uq2xcXByOHz+u5ogI0V7UTUBIKSYmJigqKgJA3QP6QNHugry8PJiZmakxIkK0E7UMEPKfHTt28InAs2fPRI6GCIHjOISFhcld3snJSY3REKK9KBkgBEBWVhYmTpwIAPjyyy9Rt25dcQMigmnevDmGDx8uV9mXL1/i0KFDao6IEO1D3QSEAFLL2tJ/Cf2jaHdBTk4OvzAVIYaAWgaIwdu2bRu/nZiYKGIkRF04jkNkZKTc5R0cHNQYDSHah5IBYtAyMzMxefJkAICvry8cHR1Fjoioi5ubG3+nSGUyMjKwZ88eNUdEiPagbgJi0Kh7wPCU/p1XJisrC1WrVlVjNIRoB2oZIAZr8+bN/PaLFy9EjIRoUnR0tNxlq1evrr5ACNEilAwQg5SRkYFp06YBAL755hvUqlVL5IiIpri6umLKlClylS0oKMCOHTvUHBEh4qNuAmKQqHuAKNJdkJGRAQB49OgR8vLyYG5uDldXV1hZWakrPEI0ilbmIAbH39+f33716pWIkRAxxcbGwsXFRa6y1tbW4DhOKnHkOA5NmjRBnz59MH36dLi7u6srVELUjroJiEFJS0uDj48PAMDPzw81a9YUOSIiFmdnZ8yePVvu8uPGjcPVq1cRFhaGq1evYuvWrejRowf27t0LDw8PvP/++4iNjVVjxISoD3UTEINC3QPkbYp0F6SlpcHGxkbqtfz8fBw4cACLFi1CSkoK1q1bB29vb6HDJEStqGWAGIxffvmF305KShIxEqJNnj59KnfZatWqlXnNzMwMY8aMwf379zF69GhMmTIFK1asEDJEQtSOkgFiEN68eYM5c+YAAFatWgV7e3uRIyLa4p133sHChQvlLn/ixAmZr1tbWyMgIADLli2Dr68vtm7dKlSIhKgddRMQg0DdA6QisbGxaNCggVxlP/zwQ/z111/l7meMYerUqdizZw/u3bsn9yBFQsRELQNE7/3000/8dnJysoiREG3l4+Mj90qVR48eRWFhYbn7OY7Djz/+iBo1avCDVQnRdpQMEL32+vVrfPbZZwCANWvWoEaNGiJHRLRNREQEgoKC8P333+Prr7+utLxEIoFEIqmwjI2NDVauXImgoCCFFkgiRCzUTUD0GnUPkMrMmTMHe/fuRXx8PMzMzCq9u8DExARGRkZwcHBA27Zt8dlnn6FLly5lyuXl5cHJyQkjR47Ezz//rK7wCREEtQwQvbVmzRp++/Xr1yJGQrRZSEgIvLy8YGZmBgB4+fIlrK2tyy3fvn17fP755+jZsyfu3r2LAwcOyCxnbm4OLy8vnDlzRi1xEyIkmoGQ6KWUlBQsWLAAQPGYAVtbW5EjItooIyMDUVFRUncTODg4ICoqCgMGDMCdO3ekyvv6+mL58uX8c8YYnj9/Xu7xPT09sXHjRmRmZtLUxUSrUcsA0Uulbx2cN2+eeIEQrRYTEwPGWJmphB0dHXHr1i2cPXuW7wJYv369VCIAFHdD1alTp9zje3h4gDGGR48eCR88IQKiZIDonVWrVvHbqampIkZCtF1eXh4AoGrVqmX2cRyHnj17IicnBwDg5eWl8PEtLCykzkOItqJkgOiVpKQkLFq0CEDxjIO0Hj2piLm5OQAgOzu73DJpaWngOA6Ojo4KH78kkSg5DyHaipIBolccHBz47VmzZokYCdEFrq6u4DgOERER5ZapXr16pWMDyhMeHg6O4+Dq6qpKmISoHSUDRG/4+fnx22lpaSJGQnSFlZUVmjRpguvXr5dbpl27dgCA4OBghY9/48YNuLm50eBBovUoGSB64dWrV/jqq68AAP7+/mVWliOkPH369MHBgweRn58vc//06dNhbGwMX19f7N27F+vWreP3McaQmJgos15eXh4OHjyI3r17qyNsQgRFkw4RvUCTCxFlRUREwMPDA4GBgRgzZozMMr/++ivmzJnD/23Nnz8fr1+/xoULFzBw4ECpBKHE7t278fHHHyMiIgJNmzZV51sgRGWUDBCd98033+Dbb78FAKSnp1c4YQwxbHl5edi+fTvWr1+PuLg4VKtWDaNHj0ZYWBiio6Nx7969cv9+QkND0aNHDwDFyxY7ODigffv2+Oyzz9CpUyepsunp6WjevDnc3d1x6tQptb8vQlRFyQDRaS9evOBHeW/evBlTpkwROSKira5fv873/7+tWbNmePz4McaMGYOAgIByj1HSAvXmzRtUq1ZNZhlatZDoIhozQHRa6du9KBEg5fn000/LTQQA4P79++jVqxe2bNkiNRC1POV9h2KMwc/PD1u2bMH69espESA6g6YjJjrL19eX387IyBAxEqKtcnNz+Yl/KhMZGQk/Pz/4+voiLi4Oa9euLbfLQFYyEBAQgD179uDcuXNYsWIFJk+erFLshGgStQwQnfT8+XOsWLECALBt2za6dYuUceXKFbkTAaC46X/JkiX8Rb1Zs2bYvXt3uXcZlMjLy8Pu3bsxffp0nDt3Ds7OzvzYAkJ0BY0ZIDqJ7h4gFZk5cyY2bNigUJ2ePXvi7NmzAIDY2Fj4+PggKCgIDg4O8PLygqenJ/9tPzg4GPHx8bhx4wYOHjyIV69ewcrKCpmZmfzxRo0ahVWrVqF+/frCvTFC1ISSAaJzvvzyS6xevRoAkJmZCUtLS5EjItoiOztb6b+H/fv3Y/jw4VKvRUREYOPGjThz5gwePHgglXhyHAc3Nzf07t0bM2bMwIIFC3DixAmp+ubm5pg/fz6+/PJLar0iWo2SAaJTEhISUK9ePQDA9u3bMWHCBJEjItri4sWL6Natm1J1lyxZUunAwczMTH4Mwblz5+Dp6Sl1gZ81axZ+++03mXVr166NlStXYvz48TAyot5Zon3or5LolJJEwNjYmBIBwvP29lY6ERg+fLhcdxCUvvA3b968zDf9iu4cePnyJSZNmoR27drh4sWLSsVJiDpRMkB0xoIFC/jt9PR0ESMh2iIzMxMcx2Hr1q1K1Q8KCsL+/fsVrierQdXZ2bnS8jdv3kS3bt0wYsQIxMbGKnxeQtSFkgGiE+Lj47FmzRoAwK5du2SuP08MS2hoqEqzTaalpaFfv35K1VU0GXjb/v374ebmhkWLFlFiS7QCJQNEJzg5OQEAqlSpgo8//ljkaIjYJkyYoPTte6NHjwZjTPDFrBSdYCg/Px+rVq1Co0aNsHXrVhQVFQkaDyGKoGSAaL158+bx269fvxYvECK6jIwMcByHP/74Q6n6Z86cwe7duwWOqpitra1SdwwkJSXB29sbnp6euHz5shoiI6RylAwQrRYXF4f169cDAP7880+FJpEh+iUkJESlb/Pp6eno1auXILHI6ibgOA4NGjRQ+lh37tyhVi8iGkoGiFYr6Ye1srLCyJEjxQ2GiGbUqFHo27evUnUnTpwIxpigq1mWd0e2IuMG3ubo6FjhIkmEqBOtTUC01qxZs/jtpKQkESMhYklLS0P16tWVrh8aGoru3bsLF1AlFE0GOI4DYwwTJ07ETz/9pNJ7JUQVlAwQrRQbG8tP4LJ//35UqVJF5IiIpp06dQoDBgxQur4Ys1MqOoiwdu3aCAgIwMCBA9UUESHyoW4CopVK+l5tbW3LTBFL9N+wYcOUTgSmTp0KxphaEwEhugkmTJiA8PBwSgSIVqCWAaJ1pk2bxm8/f/5cxEiIpqWmpsLOzk7p+v/88w86d+4sYESyCZEMbN++XZhgCBEAtQwQrRITE4PNmzcDAA4dOgRzc3ORIyKacuzYMZUSgezsbI0kAhUpLxkoWWXz/fff5187fvy4JkIiRC6UDBCt4urqCgBwcHDA0KFDRY6GaMrAgQMxePBgperOmjULjDGN3nZaXstA9erVUa1atTKvOzg44OjRozh58iS/psagQYNQUFCg1jgJkRclA0RrlKwVDxRPP0z0X0pKCjiOw8mTJ5Wqf/XqVfzyyy8CR6WakkGEJa0BY8eORUREBAYNGgRAuntAlVsRCRESJQNEK0RHR2Pbtm0AgCNHjsDMzEzkiIi6HTp0CPb29krXz8nJQfv27QWMSH4VrfxekgzUrFkThw8fxs6dO8t0f0RHRwMAEhMTceTIEfUFSoicOFbRXzUhGlLyLapOnTpISEgQORqiTowx9OnTB2fPnlWq/ueff84vWqVpJX+nz549Q926dWWWuXLlCg4fPoyFCxeiRo0a5R5rypQp2LJlCwAgLy+PEmAiKkoGiOgmTJjAzzWfn58PU1NTkSMi6pKUlAQHBwel69+4cQNt2rQRMCLFlCQD8fHxqFevnmDHq1mzJl69eqXy8QhRFnUTEFFFRUXxicDx48cpEdBj+/btUykRyMvLEzURUIeYmBgAxUnSoUOHRI6GGDJKBoio3NzcAAD169enyVf0FGMMXbt2VXptiS+//BKMMa1qRheqQbVBgwaYMWMGAMDLywt5eXmCHJcQRVE3ARHNmDFjsGfPHgDUPaCvXrx4AUdHR6Xr3759G++++65wAamopFk/Li4OTk5Ogh+3evXqSE1NFey4hMiLWgaIKCIjI/lE4NSpU5QI6KHAwEClEwFjY2Pk5+drVSKgTrGxsQCAN2/eYN++fSJHQwwRJQNE4xhjcHd3BwA0bNgQ/fv3FzkiIiTGGNq1a4exY8cqVf/rr79GYWGhQSWIzs7OmD17NgBg5MiRyM3NFTkiYmiom4Bo3IgRI7B//34AQEFBAUxMaIkMfZGYmFjuLXfyCAsLQ/PmzQWMSFglzflPnjxB/fr11XZ8S0tLZGZmCn58QspDLQNEo+7fv88nAsHBwZQI6JEdO3YonQhUrVoVBQUFWp0IlKau71BxcXEAgKysLOzevVst5yBEFkoGiMYwxvgPezc3N/Tp00fkiIgQGGNo2bIlJk6cqFR9Pz8/ZGVlUWIIwMnJCZ999hkA4OOPP0ZOTo7IERFDQd0ERGOGDRuGv/76CwBQWFgIY2NjkSMiqoqPj1dpVH1ERASaNm0qYETqVdKMHxsbq9Z1BUrOY2ZmRrcbEo2glgGiEWFhYXwicPbsWUoE9MCWLVuUTgSqV6+OgoICnUoESlP3d6iShbry8/Oxc+dOtZ6LEICSAaIBJc3IANCsWTP07NlT5IiIKhhjcHNzw5QpU5Sqv2rVKqSmpup0t4C6k4F69eph4cKFAIDx48cjKytLrecjhLoJiNoNGjQIx48fB0DdA7ouLi5OpebxBw8eoEmTJsIFpGElzfcxMTFo0KCBxs4HqD8BIYaNWgaIWt25c4dPBEJDQykR0GEbNmxQOhGoXbs2CgsLdToRKE1TF+bSK3j+/vvvGjknMUyUDBC1YYyhVatWAIBWrVqhe/fuIkdElCGRSNCgQQPMnDlTqfpr167F8+fP9SoR1FQyUKdOHSxZsgQA8Mknn9DcA0RtqJuAqM3777+PoKAgAEBRURGMjCj31DWPHz9Gw4YNla7/6NEjleprm5Jm++joaLi6umr8vAB1FxD1oE9nohY3b97kE4ELFy5QIqCD1q9fr/SFvH79+igqKtKrREBMz58/57cDAgJEjIToK/qEJoJjjMHT0xMA0LZtW3Tt2lXkiIgiJBIJ6tati3nz5ilV/5dffsGTJ0/0OgHU9Lfz2rVrY+nSpQCAqVOnIiMjQ6PnJ/qPugmI4Pr06YMzZ84AoO4BXRMdHY3GjRsrXf/x48dwcXERMCLtIlY3wdvnB6i7gAiLPqWJoP79918+Ebh06RIlAjpkzZo1SicCjRo1gkQi0etEQBu8fPmS3/b39xcxEqJv6JOaCIYxhvbt2wMAOnfujE6dOokcEZFHUVER7O3tsWDBAqXqb9y4EQ8fPpT61krUw8HBAcuXLwcA+Pj4IC0tTeSIiL6gbgIimK5du+Kff/4BUNzvTBcH7ffgwQOVpgSOi4tTaW0CXSN2N8HbcQDUXUCEQS0DRBCXLl3iE4Fr165RIqADVq5cqXQi0KxZM0gkEoNKBLRJUlISv/3LL7+IGAnRF9QyQFQmkUj4CWV69+6NkJAQkSMiFSksLIStra3SE9hs27YNkyZNEjgq3aAtLQNA8RoPixYtAgCkpqaievXqosZDdBslA0Rlnp6euHnzJgDqHtB29+/fR/PmzZWu/+zZM9StW1fAiHSLNiUDAHUXEOFQNwFRyfnz5/lE4NatW5QIaLFvv/1W6USgTZs2/PwDRHskJyfz2z/99JOIkRBdRy0DRGlFRUX8MrQffPABjh07JnJERJaCggJYWlqioKBAqfp//PEHxo0bJ3BUuqkk2dWmaZZ//PFHzJ8/HwCQkpICOzs7kSMiuoiSAaK0Zs2aITw8HAB1D2iru3fv4t1331W6fmJiIhwdHYULSExRUUBwMHDzZvEjMhIoKgKWLwd8feU6hKaXMJYXdRcQVVE3AVHKmTNn+EQgLCyMEgEttGTJEqUTgU6dOkEikehPIgAA/v7AnDnAjh3A/fvFiYCeeP36Nb/9ww8/iBgJ0VWUDBCFFRYWok+fPgAALy8vlQakEeHl5+eD4zh89913StXfs2cPLl26pH8JXrNmwPz5QGBgcauAHnV92NraYt26dQCAhQsXIiUlRdyAiM4xETsAonvc3Nz47f3794sYCXnbrVu30KZNG6Xrv3z5Eg4ODgJGpEW8vaWf69lU2XPnzuUXl7K3t6fuAqIQ/frfQNTu5MmTiImJAQBERETo37dHHbZw4UKlE4EePXpAIpHobyJgIFJTU/ntlStXihgJ0TWUDBC5FRQUYODAgQCAcePGqTSNLRFOXl4eOI5Tuq/4wIED+Pvvvymx0wPVq1fHr7/+CgBYvHix1EyFhFSEkgEiN2dnZ377jz/+EC8Qwvv3339RpUoVpesnJSXBy8tLwIiI2GbOnMlvU0sPkRclA0Quhw8fRmJiIgDg4cOHIkdDAGDevHn8KpGK6tevHxhjsLe3Fzgqw6DtrSilVzNctmyZiJEQXUHJAKlUXl4ehg4dCgDw9vZGo0aNRI7IsOXk5IDjOKxfv16p+ocPH0ZQUJDAURkWbU8GbGxssHHjRgDA0qVL8fLlS5EjItqOkgFSqTp16vDbAQEBIkZCrly5gqpVqypdPyUlBUOGDBEwIqKtpk2bxm/Xrl1bxEiILqBkgFRo3759/IQmjx8/Fjkaw+bj44NOnTopVXfw4MFgjNFUtQYmPT2d3/76669FjIRoO0oGSLlycnIwcuRIAMCsWbPg4uIickSGKTs7GxzHwd/fX6n6J06cwJEjRwSOiugCa2trbNmyBQCwfPlyPH/+XOSIiLaiZICUq0aNGvz2L7/8ImIkhuvixYuwtLRUun5qaioGDBggYERE10yePJnfLt3lR0hplAwQmXbt2oWcnBwAwNOnT0WOxjBNnjwZ3bp1U6ru8OHDwRhD9erVhQ2K6KTMzEx+e/HixSJGQrQVrVqoLwRYka1EdnY2/210/vz5tPCJhmVmZsLa2lrp+qdPn0bfvn0FjEhP3LoF+Pj8/3lMDJCcDNSrB9St+//X//oLKGeBppK7CGJjY6Xm3dAF27dvx6RJkwAAz549Q93S75kYPEoG9MW8eYCsW82USAaMjIz4ec3pz0Ozzp07h549eypdPy0tDTY2NgJGpEdCQ4EePSovFxsLlHOh1+VkAKD/26R81E2gLwRakW3btm38h0RCQoKQEZJKjBs3TulE4OOPPwZjjBKBirz3HsBY5Q85LvLaPs9AeUp3FyxYsEDESIi2oVUL9YUAK7JlZmbyg42WLFlCg400JCMjQ6WL+NmzZ1VqTSCK09VkoGrVqti5cyfGjRuHNWvWYM6cOXjnnXfEDotoAWoZILzS/dR+fn4iRmI4QkJCVEoEMjIyKBEgChk7dizMzMwAAE5OTiJHQ7QFJQMEAPipSwHgxYsXIkZiOEaOHKn0QL9JkyaBMQYrKyuBoyKG4M2bN/z2p59+Kl4gRGtQMkCQlpaGGTNmACiemKRWrVoiR6Tf0tLSwHEc9u3bp1T98+fPY9u2bQJHRQyJhYUFdu/eDQBYt24d4uLiRI6IiI2SASJ1L7qvgnceEMWcPHlSpXv/MzMzlZ57gJDSRo8ezd9CrIt3RhBhUTJg4EqvfJeUlCRiJPrvww8/xMCBA5WqO336dDDGVJqNkJC3JScn89uzZs0SMRIiNkoGDFhqairmzZsHAFi9ejWtba8mqamp4DhO6fUBLl26pPS6BIRUpEqVKnx31W+//YbY2FiRIyJioWTAgJVewW7hwoUiRqK/jh07ptJKgdnZ2UqvVEjUR1dvLZTlo48+4ruuGjRoIG4wRDSUDBio77//nt8uWaKYCGvAgAEYPHiwUnXnzJkDxhgsLCwEjooIQZ+SAUD6DqJp06aJGAkRCyUDBig5ORlffPEFgOKRxLa2tiJHpF9SUlLAcRxOnTqlVP2rV69KjeUgRN3Mzc1x6NAhAMDmzZsRExMjckRE0ygZMEA1a9bkt+fOnStiJPrn0KFDKo29yMnJQfv27QWMiBD5DB06lP9scHV1FTkaommUDOiLW7eADh3+/zhxovj1TZukXv+p1NiA0hOPENUwxtCrVy94eXkpVf/zzz8HYwxVqlQRODJC5Pfs2TN++5NPPhExEqJptGqhvpBzRTZnAHEA/P39MX36dDUHZRhevXql0kRNN27cQJs2bQSMiKhLyViB+Ph41KtXT+Ro1OPo0aMYMmQIACAqKgqNGzcWOSKiCZQMGJDSg57o1y6MvXv3YtSoUUrXz8vL4+eJJ9rPEJIBAKhXrx6/ail9VhgG6iYwEKVnFszIyBAxEv3AGEOXLl2UTgQWL14MxhglAkQrlZ5vYPz48SJGQjSFWgYMQGJiIurWrQsA2Lp1K/UFqujFixdwdHRUuv6dO3fQsmVLASMiQrl06RIiIyP55yUtASX/lizxvWrVKjg4OEjtK9m2tLTE4MGDdT7RO3HiBD744AMAQGRkJNzc3ESOiKgTJQMGgLoHhBMYGIixY8cqVdfExATZ2dkwNTUVOCoilOrVqyMtLU3l4xw+fJjvd9dlLi4uePLkCQD67NB31E2g5+bPn89vZ2VliRiJbmOMoW3btkonAkuXLkVBQQElAlpu+PDhKh+jWrVqeO+991QPRgtER0fz26NHjxYxEqJu1DKgx54+fYr69esDAHbt2oWPP/5Y5Ih0U+luFmXcu3cPzZo1EzAioi6PHz9G48aNUVRUpPQxli1bhq+++krAqMR1+vRp9O/fHwAQHh4Od3d3kSMi6kDJgB4r6R6wsLBAdna2yNHopu3bt2PSpElK1bW0tMSbN29gYmIicFREnSZPnoxt27YpXI/jOFSrVg1PnjxBtWrV1BCZQKKigOBg4ObN4kdkJFBUBCxfDpSzhHnjxo35VgKJRKJ30zET6ibQW7Nnz+a3ae0BxTHG0KJFC6UTAT8/P2RmZlIioIOWLFkCY2NjhesxxvD5559rdyIAAP7+wJw5wI4dwP37xYlAJSIiIvjtjz76SJ3REZFQMqCHYmNj8euvvwIovg+eZrVTTHx8PIyMjHDv3j2l6kdERGDJkiUCR0U0pUGDBgrfTsdxHKpXr445c+aoKSoBNWsGzJ8PBAYWtwqMG1dpFRMTE4SEhAAADh48qPT/DaK9KBnQQyXLkNra2mLEiBEiR6NbAgIC4OTkpFTdGjVqoLCwEE2bNhU4KqJpirYOMMYwf/582NjYqDEqgXh7Az/8AIwZA7i5AUbyXQZ69+7Njxdo0aIF3V2gZygZ0DNTpkzht58/fy5iJLqFMQY3NzdMnTpVqfrff/89kpOTlWpeJtqnYcOGGCfHN2aguFXA1tZWqmtOX4WFhfHbH374oXiBEMFRMqBHoqOjsWXLFgDAX3/9BXNzc5Ej0g1PnjyBkZERoqKilKofFRWFBQsWCBwVEZu8rQM61SqgImNjY/z9998AitcwuHv3rsgREaFQMqBHShYUcXR0pKxdThs2bICLi4tSdevUqYOioiJayEVPubq6VjqvREmrwKxZszQUlfh69OjBz6D57rvvUneBnqBkQE+UbtKMi4sTMRLdIJFI4OLigpkzZypV/6effkJCQgKM5OxvJbpp5MiRFd5GV9K9VHrpX0Nw69YtfnvgwIEiRkKEQp9keiAyMhK7du0CABw/fpxmuatETEwMjI2N+WlWFfXo0SPMmzdP0JiIdomNjcX777+PAQMGVNjdZm5ujujoaHh4eOD999+XWuBHnxkZGeH8+fMAgFOnTkklB0Q3UTKg4xhj/AhfFxcXytIrsX79eri6uipV19nZGUVFRWjYsKHAURFtsmXLFjRv3hyRkZEIDAzEjRs3ym0B+uabb5CQkIDAwEBERESgefPm/LgdfdetWzd4enoCANq0aUPdBbqOEZ02fPhwBoABYAUFBWKHo7WKiopYnTp1+J+Voo/ffvtN7LdANMDPz48BYN7e3iw9PZ1/fdy4cVJ/DxzHMTs7O6ky6enpzNvbmwFgfn5+YoSvnAkTGAMYW75c4apFRUX8z6R3797Cx0Y0hpIBHRYWFsb/RwwODhY7HK0VFRWldBIAgMXGxor9FogGBAQEMABs+VsXxXPnzsn8u1i1apXM4yxbtowBYFu2bNFE2KpTIRlgjLF//vmH/5n8+++/wsZGNIa6CXQU+2+6XADw8PBAnz59RI5IO61atQpNmjRRqq6bmxskEgmcnZ2FDYpondjYWMybNw/e3t7wLWd+/ubNm/PbNWrUKHfwqa+vL7y9vTF37lyDGEPQuXNndOzYEQDQrl076i7QUZQM6KjBgwfz23Svb1mFhYWwtrbGokWLlKq/efNmREZG0oIsBsLHxwf29vZYu3ZtuWW6devGjx1YuHAhrKysZJbjOA4//vgjatSoAR8fH7XEq20uXbrEb/fo0UPESIiyKBnQQbdv38bx48cBAKGhoTTr3Vvu378PU1NTZGZmKlX/6dOnUjM5Ev0WERGBoKAgfPfdd7C2ti63nL29PXx8fODm5lbpRd7GxgYrV65EUFAQIiMjhQ5ZNbduAR06/P9x4kTx65s2Sb+uwAymHMfhypUrAIDz58/j6tWr6oicqBElAzqGMYbWrVsDKB7B2717d5Ej0i5Lly6Vas5VRPPmzSGRSPDOO+8IHBXRZhs3boSDgwOGDx9eadmRI0eiVq1acHR0RPXq1eHl5YVHjx7JLOvl5QUHBwf4+/sLHbJq0tOBa9f+/0hOLn792TPp1/PyFDpshw4d0K1bNwBAx44dqbtAx1AyoGP69u3Lb//7778iRqJd8vPzYWRkhGXLlilVf9u2bQgLC6NuAQMUEhICLy8vmJmZVVju6tWr6NWrF6pVq4bZs2eje/fu+Ouvv9CpUyc8fvy4THlzc3N4eXnhzJkz6gpdOe+9BxQPGaz4ocRYmdDQUH67S5cugoVM1I+SAR3y77//8h8sly5dotnv/nPr1i2Ym5sr/U3k2bNnmDRpksBREV2QkZGBqKgotG3bttKyp0+fxs8//4wjR47gu+++w5EjR+Dv74+kpCTMnTtXZh1PT088ePBA6S4rXcNxHP8l5fLly7h8+bLIERF50dVERzDG0L59ewDFo3c7deokckTaYcGCBWjTpo1Sddu2bQuJRIK6desKHBXRFTExMVITd1WkcePGZcaSTJkyBY0aNcKJEyeQlJRUpo6HhwcYY+V2Jeijtm3bolevXgCKP6skEonIERF5UDKgI7p27cpvX7x4UcRItENubi44jsOaNWuUqh8YGIh///2XugUMXN5//eJVq1attGznzp3LtMYZGRmhc+fOYIzJvKvHwsJC6jyGIiQkhN/u0KGDiJEQeVEyoAMuXbrE37pz7do1g7+AXblyhf+QVcaLFy8wZswYASMiuqpk3YHs7OxKy9aqVavC19PS0srsy8nJkTqPoeA4Djdv3gQAXL9+nb7A6ABKBrScRCLhB+L06tUL7dq1Ezkicc2YMUPpLpKePXtCIpGU+6FODI+rqys4jkNERESlZV++fFnh68+ePUNISAgSEhL48Svh4eHgOE7p9TB0WevWrdG/f38AxXM0UHeBdjMROwBSsdIX/9JNb4YmKyur3Ele5HHo0CEMHTpUwIiIPrCyskKTJk1w/fr1SgeRXrp0CRKJRKqrQCKR8N96S69kaWdnhxYtWiAlJQW1a9dGZGQkPDw85OqO0CcnT57kf15t2rTB7du3RY6IlIdaBrTY+fPn+aa2W7duGWz3QGhoqEqJQHJyMiUChCeRSPDdd99h0qRJiI2NRZ8+fXDw4EHk5+dXWO/hw4cICAiQei0gIAAxMTFlyr5+/RqhoaG4d+8enj9/jnbt2sHa2hpubm4YMWIE/Pz8cPToUTx58kSv78fnOA537twBANy5c0fq1kOiXTimz3+JOqyoqAgmJsUNNwMHDuRnHDQ048ePx86dO5WqO2jQIBw9elTgiIiuCg0NRe/evVFUVMS/9scff6BNmzbw8PBAYGCgzLEkoaGh6NGjB/r164dz586hf//+8PDwQHh4OI4dOwZzc3Pk5uYqHZeNjQ1atGgh9WjWrFmFsyHqmsGDB+PYsWMAiqcKp1lTtZAoyyORSrm7u/MrgUkkErHD0bi0tDSVVho8ceKE2G+BaIEXL16wHj16yPwbWbFiBf9/q3///qx+/fpSSxKXKFm1cOnSpezixYuse/fuzNLSktnY2LChQ4eyNWvWqPS3KuthbGzMxo0bx7KzszX9I1MLiUTCvzd3d3exwyEyUDKghYKDg/n/OGFhYWKHo3FBQUEqfZC+efNG7LdARFRYWMiWLl0q82+jT58+7OXLl2XqPH78mFlaWjJvb2+Fz5efn89cXFwETwgAsPnz5wvxI9EKpZdcDwkJETsc8hZKBrRMQUEB/x/mo48+EjscxZSsi17RIyenwkMMGzZM6Q/O0aNHa+Z9Eq1UOoku/TA3N2cXLlyotH5AQAADwJYvX67wubdu3aqWZKBjx47K/Ci0Vun/3wUFBWKHQ0qhuwm0TJMmTfjtvXv3ihiJCjp3Bsq7laqcvsLU1FTY2dkpfcozZ87ws54Rw5GYmIgRI0ZILaFbYtWqVViwYIHc03Z7e3vj5cuX8PX1RVxcHNauXSt3v/24ceOwfPlyPHnyRJHwK9WqVStBjye2AwcO8L8PNzc3g5qZUeuJnY2Q/ztx4gSfNUdGRoodjuJKWgZ+/12haocPH1bp21NGRoZa3g7RTgUFBWzRokUy/xYGDBjAkpKSVDp+QEAAs7S0ZE5OTiwwMJDl5eVVWD43N5cFBgYyOzs7QVsFbG1t2dOnT1V6L9ooIiKCf480tkd7UDKgJfLz8/n/IOPGjRM7HOUokQz07dtX6Q9LZfp3ie46efKkzL8DKysrdvnyZUHP9fjxY9a/f38GgDk4OLAZM2awrVu3sqtXr7K7d++yq1evsq1bt7IZM2YwBwcHBoD17duX1a9fX7Bk4OjRo4K+J20yduxY/n3m5+eLHQ5hlAxojTp16vD/OXSWAsnAq1evVPqg/Oeff9T+doj4nj59ytq1ayfzb2Dt2rVqv9MmPDyczZ49mzVt2pRxHCd1fo7jWNOmTdns2bNZREQEY4yx33//XZBE4PPPP1fr+9IGJe+1Tp06YodCGGM0z4AWOHz4MD8pzsOHD9GoUSORI1LSxInAjh3A+PGAvT2QkQHUqAG0awcMGAD8Nz/73r17MWrUKKVPk52drdLaBES7FRQUYPHixTIXofrwww+xbds22NraajyuzMxMPHr0CHl5eTA3N4erq2uZybAKCwvh5uYmcyIiebVv3x4XL16EqampqiFrtejoaDRu3BgA8Ndff+HDDz8UNyBDJ3Y2Yuhyc3P1p9m7orsJHB2Z5ORJ1rFjR6W/Lc2bN0/sd0jU6MiRIzJ/73Z2duzff/8VOzy5bd++XaVWgdu3b4v9FjTG29ubf9+5ublih2PQqGVAZHZ2dkhNTQUA3Z+W9Kefiu8W6NULcHICcnKAu3eBb74BLl9GPoC+AM4rcejr16/D09NT2HiJ6J48eYJhw4bJnLP+l19+wcyZM3VuGu7CwkI0bdpUpZHyR44cweDBgwWMSnuV/H5tbW3x+vVrkaMxYCInIwZt7969fFb8+PFjscNRm+2//87++q+F4LYS35ToG4N+ycvLY3PnzpX5u/7oo4/0YtKoHTt2qDxuoH///mK/DY14/Pgx/5737t0rdjgGi5IBkWRnZ/P/AWbNmiV2OGohkUhY8+bNGQDWolSXQT05PwwXL14s9lsgAjpw4IDM33OtWrXYrVu3xA5PUAUFBaxRo0aCDCZU9VZJXTB79mz+/erLFMy6hroJRFK1alXk5OQA0IPuARmePn2K+vXr889NAZSsCdcRwNVK6t+5cwctW7ZUU3REU2JiYjBkyBCEh4eX2bdp0yZMmTJF57oB5LVz506MHz9ekGMdOHAAXl5eghxLW5X8HVSpUoX/bCSaQ0sYi2DXrl38H3tcXJzI0Qhv48aNUokAANQotZ1RQd0qVaogPz+fEgEdlpubCx8fH3AcB1dXV6lE4OOPP0Z6ejoYY5g6dareJgIAMHr0aH60fEUOHjwIDw+PCssMHz4cPXr00MsvDiWePn0KoPjvZ9euXSJHY4BEbZcwQFlZWXxzmL7dS1xUVMScnZ1l3wnwXxfBG4CZlNMcqsyc8ER77NmzR+bv9Z133jHIBbcYY2znzp0VdgHMnj2bLyvv+gayFlrSFwsWLODfZ2ZmptjhGBTqJtCw0t+E9OlHH3/sGGYOHoyTAIpKvc4BmATgVwAWAJYD+FpG/YiICDRt2lT9gRJBRUVFYfDgwXj48GGZfdu2bcPEiRP1+tt/ZYqKiuDu7i7z59OmTRtcunQJ5v/NvwEACQkJqFevXqXH3bNnj0pzdWgzff2M1HbUTaBB27Zt47cTEhJEjERYa9euxezBg3EUwCsAIQB2ATgOIBbAVhQnArsBfPtW3Zo1a/K3YhHdkJ2dzff1u7m5SV3oJk2ahMzMTDDGMGnSJINOBADA2NgYX39dNv21sbHBvn37pBIBAKhbty4kEgnatGlT4XFHjx6NTp066eXFsvRn49atW0WMxMCI2SxhSNLT0/nmryVLlogdjiAKCwuZvb09A8CcAbYWYBcAFg+wbIDlAOwJwPYB7H0ZzZ1r164V+y0QOUkkEvbHH3/IbLZu2LAhPx0vKauwsJANGTKE/3lZWFiwY8eOVVqvvJ/324/ExEQNvAvN8vX15d9fenq62OEYBOom0BB9a/qKjIyEu7u70vUfPXqEhg0bChgRUYeIiAgMHDhQ5tK8O3fuxNixYzUflA7Kz8/HyZMnER8fjz59+sDNzU2ues+fP0edOnUqLffHH39g3LhxqoapVfTtM1PbUTeBBmzcuJHffvHihYiRCGPFihVKJwINGjRAUVERJQJaLCsrCxMmTADHcfDw8JBKBKZOnYrs7GwwxigRUICZmRk+/PBDzJ49W+5EAAAcHR0hkUjQuXPnCsuNHz8erVu31quL5suXL/ltf39/ESMxEGI2SxiCN2/e6M1o+fz8fFalShWlJ0/x9/cX+y2QckgkknJHs7u5ubGoqCixQzR4f/75p1z/z+Lj48UOVTB+fn78+9KHmSm1GXUTqJm+NHWFhYWpdO9/XFwcnJycBIyICCEsLAwDBgyQOaD1zz//xMiRI0WIipTn1atXqFWrVqXltmzZgsmTJ2sgIvXTl89QbUfdBGq0fv16fjspKUnESFSzePFipROBFi1aQCKRUCKgRTIyMjBmzBhwHIeWLVtKJQIzZ85ETk4OGGOUCGghBwcHMMbQs2fPCst5e3vD3d1dLy6eycnJ/PZPP/0kYiR6TsRWCb2WkpLCN2+tXr1a7HCUUnp5ZWUe27dvF/stkP9IJBLm7+8v8/fUvHlz9ujRI7FDJAo6ePCgXP8Pnzx5InaoKvvhhx/495OSkiJ2OHqJugnURNebtq5fv4527dopXT8xMRGOjo4CRkSUcevWLfTv319my9TBgwcxbNgwEaIiQklJSYG9vX2l5TZs2IAZM2ZoICL10fXPVG1H3QRq8P333/Pburg+97x585ROBDp16gSJREKJgIjS0tIwfPhwcByHNm3aSCUCn376KfLy8sAYo0RAD9SoUQOMMQwYMKDCcj4+PmjQoAEkEomGIhNe6c/SVatWiRiJnhKzWUIfJSUl8c1Z69atEzschZReVlmZx59//in2WzBYEomErV+/XubvpU2bNnrRVEwqdvToUbn+n8bExIgdqtJ+/vln/n28evVK7HD0CnUTCExXm7IuXbqELl26KF3/1atXqFmzpoAREXn8+++/6NevH968eVNm39GjRzFo0CDNB0VEk5qaCjs7u0rLrVu3DnPnztVARMLT1c9YbUfdBAJavnw5vy3rw1lbTZkyRelEoG/fvmCMUSKgQampqRgyZAg4jkP79u2l/tYWLlyI/Px8MMYoETBAtra2YIxh6NChFZabN28evw6CrklLS+O3v/327dVOiNJEbJXQKy9evNC5yXUyMjJU6hY4cuSI2G/BYEgkErZmzRqZv4cOHTro1UQzRBinTp2S6//xw4cPxQ5VYZs2beLjf/78udjh6AXqJhCIrjVdnT17Fr1791a6/uvXr2FraytgRESWK1euoE+fPsjKyiqzLygoCP369RMhKqIr0tLSUL169UrL/fDDD5g/f776AxKQrn3majvqJhDAkiVL+O309HQRI5HPmDFjlE4Ehg0bBsYYJQJqlJycjAEDBoDjOHTq1EkqEfD19UVBQQEYY5QIkEpVq1YNjDGMHj26wnILFixAjRo1UFRUpKHIVJeRkcFvL1q0SMRI9ISIrRJ6ISEhgW+u2rp1q9jhVKj0OgnKPIKCgsR+C3qrqKiIfffddzJ/7t26dWMJCQlih0h03JkzZ+T6f65Ly1H//vvvfNzUVaYa6iZQka40VZ08eRIDBw5Uun5aWhpsbGwEjIgAwIULF9C7d28UFBSU2RcSEqJSVw4hb8vIyJDr//GKFSuwePFiDUSkOhMTE75FQ5s/g7UddROooHQfm6w+XW0xaNAgpROBcePGgTFGiYCAXr16hd69e4PjOHTv3l0qEfj2229RWFgIxhglAkRw1tbWYIxh0qRJFZZbsmQJrKysUFhYqKHIlFe6a/bTTz8VMRIdJ2KrhE6Li4vjm6d27doldjgyJScnq9QtEBoaKvZb0BuFhYXs22+/lflz7tWrF3vx4oXYIRIDc/78ebk+B+7duyd2qJXavXs3Hy9NsKUc6iZQUkn3gIWFBbKzs0WOpqxDhw7By8tL6fqZmZmwtLQUMCLD9Pfff6NXr15lXjc1NUVISAi6d+8uQlSEFMvKyoKVlVWl5b7++mutv6ffxsaGH1RIlzXFUTeBEmbPns1va9vaA+y/5U2VTQSmT58OxhglAip4/vw5unXrBo7jyiQCK1euRFFREfLz8ykRIKKztLQEYwzTp0+vsNyyZctgYmIic2yLtnj16hW/reuLMomBWgYUFBsbiwYNGgAA9u7dixEjRogc0f+9fPkStWvXVrr+5cuX0bFjRwEjMhyFhYX49ttv4efnV2bf+++/jz/++EOu1eUI0YjAQOD0aeDuXeD5cyA1FYXm5riVlYW/APwCoLxRULdu3UKrVq00GKz8Dh48iOHDhwMAHj16hIYNG4ocke6gZEBBJd0Dtra2WtUqsHv3bnz88cdK18/JyUGVKlUEjMgwnD59Gv379y/zuqWlJYKDg9GpUycRoiKkEl26AJcvA02bAu+8A9jZAS9fgl25Ai4nB9EAugN4Xk71L774QmtXDnRwcOBX6qTLmwJEGqugk7y9vflBKrm5uWKHwxgrnqbW09NT6UGCn3/+udhvQefEx8ezjh07yvx5/vjjj0wikYgdIiEVu3qVsZSUsq8nJzPWpQtjANstx+eHtnwOlpaXl8fHN3HiRLHD0RnUMiCn6OhoNG7cGADw119/4cMPPxQ3IAAJCQmoV6+e0vVv3ryJ1q1bCxiR/iooKICvry++//77MvuGDBmCbdu2ybVaHCFa7+JFoFs3FNrYwFSOGVWvX78OT09PDQQmv2PHjmHw4MEAgAcPHqBJkyYiR6T9KBmQU0n3gKOjIxITE0WOBti6dSu8vb2VqstxHHJzc2FmZiZwVPrn+PHjMlf/s7W1RVBQENq1aydCVISo0ZUrQKdOgKMj8mJj5eo+/PTTT7F27VoNBCe/+vXr4+nTpwCou0AedDeBHMaNG8dvx8XFiRhJ8R+1m5ub0onAV199BYlEQolABeLi4uDp6QmO48okAuvXr4dEIsHr168pESD6JyMD+Oab4u3Bg2Fubg7GGBYuXFhhtZ9++on/kqEtHj16xG+PGjVKxEh0A7UMVCIyMhLu7u4AgBMnTmDAgAGixfLkyRO4uLgoXf/evXto1qyZgBHpj/z8fHz55Zf46aefyuzz8vLCli1b5Fr9jRCdEhwM7N4NSCTAy5fFrQIZGUD//sCffwLVqvFFb926hTZt2lR6yCtXrqBDhw7qjFpupQf43r9/Hx4eHiJHpL0oGagAYwxGRsWNJw0aNEBMTIxosfz6669S8xsowsbGBikpKTAxMRE4Kt13+PBhDB06tMzrDg4OOHXqFI2pIPpt3Trg7Sl8x4wB1q4FatUqUzw/Px9VqlSptNndx8cHv/32m4CBKs/NzQ1RUVEAAIlEIrWeDPk/6iaowEcffcRvl/wxaZpEIkG9evWUTgRWrVqFtLQ0SgRKefz4MVq2bAmO48okAv7+/pBIJHj58iUlAkT/zZsHMAbk5wOPHgE//gicOgW4uwMXLpQpbmZmBolEAl9f3woPu2HDBnAcpxWzs4aHh/PbshJ/8h9R7mHQAWFhYfztKcHBwaLEEBUVpdLaAg8ePBAlbm2Uk5PDZsyYIfPnNHr0aJaWliZ2iIRoh6tXGeM4xt55h7Hs7HKL3b17V67PoYsXL2oweNnOnj3Lx3P79m2xw9FK1E0gAyvVPeDu7i6VWWrK999/jy+++EKpunXq1EF8fDz/HgzZrl27pAaAlqhXrx6OHz+Oli1bihAVIVquWTMgPLy4daBr13KLFRQUwMbGptKBg97e3ggICBA6SoW8++67uHv3LgDqLpCFrhYylNyfCgBhYWEaPXdhYSGqV6+udCKwfv16JCQkGHQiEB4eDhcXF3AcVyYR+P333yGRSBAfH0+JACHlKVmbpNR8/7KYmpoiJycHy5Ytq7Dcli1bwHGcqEu937p1i9+WNWuooTPcK0Y5bt++jePHjwMAzp07B2NjY42dOzw8HKampkhLS1Oq/uPHjzFnzhyBo9INGRkZGDt2LDiOQ7NmzfDkyRN+n7e3N7KyssAYw8SJE+kbASEVSU4uXrMAAP6baK0yX331lVwtqFZWVjh37pwq0SnNyMgIFy9eBAAEBwfj+vXrosShtcTtpdAuEomE71dq06aNRs/9zTffKD02oHHjxtoxBe6DB4z9/DNjEyYw1qwZY8bGjAGMLV+ultNJJBK2YcMGmT+Tpk2bsqioKLWclxCdFh7O2K5djOXklN0XFcXYe+8V/7/t0EHhQxcWFjJbW9tKP7PGjRsnwBtRTumpxLXic1NLUDJQSq9evfg/kqKiIo2cMz8/nxkZGSmdCGzevFkjccpl7tziD5G3HwInA9evX2c1atSQ+fPYv3+/oOciRO+cO1f8/9LSsngdglGjGBs2jDFPT8aMjIr3NW3KWFyc0qdYvXq1XJ9fYgzcLf2lr2vXrho/v7aiboL//Pvvvzh79iwA4NKlSxrpc799+zZ/q44y4uPjMWXKFIGjUkGzZsD8+cXLo0ZGAjIG7inr9evXGDJkCDiOQ9u2bZGSksLv++yzz5CXlwfGGL98KSGkHB4ewIoVxQMDnz0Djh0Djh8v3u7VC/D3B27fBpyclD7FwoUL5bodu1q1ajh9+rTS51EGx3G4evUqAODixYu4fPmyRs+vtcTORrRB6Uyxc+fOGjnnggULlG4NaNOmjW40b02YoFLLQFFRUbnfMNq1a8fiVPjmQghRv8LCQubo6FjpZ9qwYcM0HluPHj003hKszahlAEDXUrfOlAwwUZfc3FxwHIcffvhBqfo7d+7EjRs39HoQ3Pnz52FmZgZjY+Myd1WcOnUKjDFcu3YNTip8cyGEqJ+xsTESExNlTvNd2qFDh8BxHFJTUzUUGfiWYABaM32ymAw+Gbh06RIuXboEALh27ZpaL7JXr16FhYWF0vWfP3+OsWPHChiR9njx4gV69OgBjuPw3nvvoaCggN+3dOlSFBYWgjFGtwQRooPmzZsntXBQeezs7HD06FENRFTcXXDz5k0AxcswX5Ax46IhMehkQCKRoEuXLgCAXr16qXUVupkzZ6Jjx45K1e3evTskEglq164tcFTiKiwshK+vLziOg6OjI0JDQ/l9vXv3xosXL8AYwzfffKPRWzwJIcJr2LAhioqK4OzsXGG5IUOGoF+/fhqJqXXr1vzic927d0dRUZFGzquNDDoZaNu2Lb8dEhKilnNkZ2eD4zhs2LBBqfr79+9HaGioXnULnDx5EhzHwdTUFCtWrOBft7CwwMWLF8EYQ0hICGrJWCiFEKK7jIyMEBsbW+nnYXBwMDiOQ1JSktpjKplXBiiepdBQGWwyEBoays9IdevWLbVcbC9cuADLkpm8lJCUlKQ3o+Pj4uLg6ekJjuMwcOBAqX1r1qxBUVERsrOz+ZYaQoj+mjFjBuLi4iot5+DggL1796o1Fo7j+Jlm79+/jzNnzqj1fFpL3PGL4igsLORHkX7wwQdqOceECROUvltgwIABaolJ0wrHjmUMYEvKGT38+vVrsUMkhIhIIpGwFi1aVPqZ2LFjR7XfQTVs2DD+fAUFBWo9lzYyyIWKPDw8EBERAUD4BSsyMjJgY2OjdP1jx47hgw8+ECweMezbtw8jR47E7wAmAvAFsAJArVq1cPLkSVoamBAiZceOHZg4cWKl5RISElCnTh21xMBKLVDXsGFDuQY86hOD6yYICQnhE4GwsDBBE4Hg4GCVEoHU1FSdTQSioqLQuHFjcByHkSNHSu37cMgQSCQSvHjxghIBQkgZEyZMQGJiYqXl6tati+3bt6slBo7j+GtDTEwMTp48qZbzaCuDSgYKCwvRt29fAMDw4cPRvHlzwY790UcfKT0CdsSIEWCMoXr16oLFowlZWVmYNGkSOI6Dm5sboqOj+X0TJkzAx2PGAAA/VoAQQsrj6OgIiUSCzp07V1hu0qRJaN68OdTRqN20aVP+9u2BAwdK3eKs7wwqGWjSpAm/vW/fPkGOmZqaCo7jcODAAaXqh4SEqH2AjJAYY/xypFZWVlJZuqurKyIiIsAYw/bt22FqaipeoIQQncNxHP75559KPxPv378PIyMjuQYhKmrnzp38dmW3QeoTg0kGTp48icePHwMAIiIiBPmmevToUdjZ2SldPyMjA71791Y5Dk24ffs2HB0dYWRkVGY9hD179oAxhui9e9F00iSgQ4fix4kTxQU2bfr/ax06AM+fi/AOCCG6YsSIEXj16lWl5ZydnZW+bbsiDx8+BAAkJibi8OHDgh9fK4k3dlFz8vPz+VGiY8eOFeSY/fr1U/pugU8++USQGNQtNTWVeXl5yXwPs2bNYjlvL4FashpaZY/YWDHeDiFEB/Xt27fSz1QnJyfB1xfw9vbmj5+bmyvosbWRQdxNUKdOHTz/79uoqm83OTkZNWvWVLr+hQsXpNZC0DaMMaxbtw6fffZZmX2tW7fGgQMH4OLiIkJkhBBDdfToUQwZMqTSctHR0XB1dRXsvCUtyLa2tnj9+rVgx9VGet9N8Ndff/GJQEnTj7L279+vUiKQlZWltYnApUuXYGVlBSMjozKJwLFjx8AYw82bNykRIIRo3ODBg+W6GDdq1Ahr1qwR7LwlXcupqamCjTPTVnqdDOTl5WHYsGEAAG9vbzRq1Eip4zDG0LVrV4wYMUKp+rNmzQJjDFWrVlWqvrq8evUKffv2Bcdx6NKlC7Kysvh9ixcvRkFBARhjOnu7IyFEf9ja2oIxBi8vrwrLLViwAHZ2doKsM+Di4oJZs2YBAEaOHImcnByVj6mt9LqbwM7Ojl8SU9m3+fz5c5Umubh27ZpaF0BSVFFREfz8/PDNN9+U2de9e3fs2bMHjo6Omg+MEELkFBwcLNet3OHh4XB3d1f5fCXdBRYWFsjOzlb5eNpI51oG0tLS8PTp00rL7du3j08ESpp6FPXHH3+olAjk5uZqTSJQsvCHiYmJVCJgYmKCv//+G4wxhIaGUiJACNF6ffv2RXp6eqXlPDw8sHz5cpXPV3LNycnJwa5du1Q+nlYSZdiiCgYNGsRMTEzY0qVLWV5enswy2dnZUqPeFSWRSFjLli2Vvlvgiy++UPVtCuLp06esQ4cOMmNctWqV4KNvCSFE0yZOnFjpZ7KpqSnLz89X6Tzz58/nj5eZmSlQ9NpD57oJnJ2d+Ykm3n33XezYsQMtWrSQKmNhYYHc3FwAincPxMfHw8nJSen4bt++LeoymPn5+Vi8eDF+/PHHMvs++OADbN++HTVq1BAhMkIIUY8LFy6ge/fulZa7desWWrVqpfR5Ss9Po2OXzkrpVDdBQUEB4uPj+ed37tyBp6cnVqxYgcLCQgDArl27+ERAnu6E0jZt2qR0ImBmZob8/HzREoG//voLHMfB3NxcKhGws7PDtWvXwBjDsWPHKBEghOidbt26SQ2ALk/r1q3x5ZdfKn2ehIQEfnvr1q1KH0cridouoaCYmJgyzT8cxzEAzNPTk12/fp1//Z133mHjxo1jp0+frvS4RUVFrEGDBkp3CyxbtkwD776s6Oho5uHhITOmDRs2qH3JT0II0TYzZ86U63Nb2YmEfH19+WOkp6cLHL14dKqb4MyZM+jTp4/C9b766it8++23Mqcgfvz4MRo2bKh0TEKNVpVXTk4O5s2bh82bN5fZN2bMGPj7+6u0ciIhhOi6a9euoUOHDpWWu3r1Ktq3b6/w8fWxu0CnugliY2OVqrd8+XJs3LixzOvr1q1TOhGws7NDYWGhRhIBxhj++OMPcByHqlWrSiUCzs7OuHfvHhhjCAwMpESAEGLw2rdvz3cXV6RDhw78PAKKePHiBb/t7++vcH1tZBDJAAB8+umnuHPnDoDie+1r1aqFTz/9VKlj/fDDD0hJSYGxsbHS8cjj3r17cHJygpGRESZMmCC1b8eOHZBIJIiNjUWzZs3UGgchhOgac3NzMMawcOHCCsv99ttv4DhOofkDatWqBT8/PwCAj48P0tLSVIpVG+hUN8Ho0aPx559/Kl2/cePGCAwMRNu2bZU+htBzX78tPT0d06ZNk/k+p0+fjrVr18LCwkJt5yeEEH1z584due4iCA0NleuuhBL61F1gMC0DQPHaBMomAk5OTigqKlJLIsAYw6+//gqO41CtWjWpRKBZs2aIjo4GYwz+/v6UCBBCiILeffdd5Ofnw9TUtMJy7733HiZOnCj3cZOSkvjtdevWKRmddtCpZCAmJkaU8/7666+Ii4uDkZGwP65r167B1tYWRkZGmD17ttS+Q4cOgTGGe/fuqbUlghBCDIGpqSny8/Px7bffVlhux44d4DgOGRkZlR7T3t4eP/zwA4DirmhdXtlQZ7oJMjMzYW1trfHzPnnyBPXr1xfseCkpKZgwYQJOnDhRZt/ChQvh5+dXafZKCCFEeREREfDw8Ki03OnTp9G3b99Ky+lDd4HOtAw8efJEo+dzd3eHRCIRJBGQSCRYuXIlOI6Dvb29VCLQqVMnxMfHgzGG1atXUyJACCFq5u7ujsLCwkonYevXrx+GDx9e6fFKtwisWrVK5fjEoDPJgKrjBRSxbds2hIeHy5yXQBHnzp2DsbExjI2NsXjxYql9ISEhYIzh0qVLqFevnkrnIYQQohhjY2MkJydjzZo1FZY7ePAgOI7jF76TxdbWFj///DMAYNGiRVJjCXSFziQDyq48qKiEhARMmjRJ6fqJiYno1q0bOI5Dz549IZFI+H3Lli1DYWEhGGPo3bu3EOESQghRweeff47o6OhKy9nZ2eHo0aPl7i897svBwUGQ2DRJZ5IBdbcMdOjQARKJRKkliwsKCrBo0SJwHIe6devi4sWL/L7+/fvj1atXYIzhq6++UvvcBIQQQhTj6uqKoqIiODs7V1huyJAh6N+/f7n7S883sGzZMqHC0whKBgAYGRnh3LlzCncLHDt2DBzHwczMTKqfyNraGpcuXQJjDKdOnULNmjWFDpkQQoiAjIyMEBsbiw0bNlRY7vTp0+A4TmZXgI2NDTZt2gQAWLp0qdRMhdqOkgEUD/CbP3++3HG0atUKHMdh8ODBUvvWrVsHiUSC9PR0dOrUSR2hEkIIUaMZM2bINWDdwcEBe/fuLfP61KlT+W1HR0chQ1MrnUgGGGNqHzPw22+/4eDBgzL35ebmYtasWeA4Dg0aNOCnNQaAjz76CG/evAFjDHPnzlV50CEhhBBx1a9fHxKJpNKp3keNGoVOnTqVuZ2w9BwFixYtUkuMQtOJeQaSkpI0MiCjWrVqiI2Nha2tLQBgz549GDNmTJlyderUwYkTJ/Duu++qPSZCCCHi2b59u1yDyhMTE6VaAkrXi4+P1/q7xnQiGcjKykLbtm1RtWpV3Lx5U63nmjNnDo4fPy6zJWLr1q2YNGkSffsnhBAD8vz5c7kGl//+++9S0xmbmJigqKgIgPZPRqQTyQAA5OTkoGHDhnj+/LlGz/vJJ5/g559/hqWlpUbPSwghRHswxtClSxdcvny5wnLNmjVDWFgYvxJiybVj3rx5+OmnnzQRqlJETQYyMzPx6NEj5OXlwdzcHK6urrCyspJZdv369Zg3b55G4nJzc8Phw4fRpEkTjZyPEEKIbti7dy9GjRpVabm4uDg4OTlJdTfLmt5ekeugOmk8GYiIiMDGjRsREhKCqKgoqaYTjuPQpEkT9OnTB9OnT4e7uzu/r1GjRnj06JHa49u2bZtKkw4RQgjRb/KOY/vtt9/g4+MDa2trZGZmAihuYVD2OqhOGksGYmNj4ePjg6CgIDg4OMDLywtt27aFu7s7qlatiuzsbEREROD69es4ePAgXr16hf79+2PDhg0wMTGBk5OT2mP09PTE+fPnUbVqVbWfixBCiGbl5ORg+fLluHr1Kt59913MnDkTDRs2VPp4/fr1Q3BwcIVlnJycEBkZyXcXNG/eHPfu3VP4Ouji4qJ0nHJhGhAQEMAsLS1Z/fr1WWBgIMvLy6uwfF5eHgsMDGROTk7M0tKSLVu2jAFQ28PU1JSNHj2apaamauLHQQghRAQjRoyQ+uw3NjZmn3zyCYuJiVH6mEeOHJHrOjNmzBjGcRyzt7dX6joYEBCgdIzyUHsy4OfnxwAwb29vlp6erlDd9PR05u3tzQAwc3NzwZOAQYMGsaNHj7KkpCQ1vXtCCCHaICsri5mamsq8FpiYmLDJkyezx48fK3Xs169fy3XNadeunUrXQT8/P6Xik4dak4GAgAAGgC1fvlyl46irZaBt27YCvVNCCCHaLDExsdJrgomJCfP29maxsbFKnWPYsGGVnsPOzo4VFhYqfOyS6+CWLVuUiq0yaksGHj9+zCwtLZm3t7fKx5JIJGzy5MnM1NSUmZmZCZoQRERECPBuCSGEaDN5koHSScGUKVOUSgpOnz5d6fGnT5+u8HElEgnz9vZmlpaWSrdgVERtAwjff/99REZG4t69e7C2tlb5eOnp6WjevDlcXFzg7OyMHTt2CBAl8MUXX0gtMkQIIUT/JCYmom7dugrVMTExwSeffILFixeXuSWwIhkZGbCxsamwTGxsbKWrJL6t5Dro7u6OU6dOKVS3MmpZmyAiIgJBQUH47rvvBEkEgOLVoFauXInz588jKytLkGMCwM6dO/kZogghFQgMBMaPB1q2BBwcAFNToFo1oF07YOVK4L9bpwjRF4WFhdi8eTMaNWqE6dOn4+nTp3LVs7a2Rnh4eIVlkpOTFY6n5DoYFBSEyMhIhetXRC3JwMaNG+Hg4IDhw4eX2Zefn49ffvkF/fr1wzvvvANzc3M4ODhg2LBhuH37doXH9fLygoODA2rXro2EhARcu3YNBw8exPr167FgwQKMHj0aXbt2hYuLC8zMzOSKNTExEX///bdS75MQg+LvD+zaBRQWAq1bAx99BHh6AvfvA4sXA61aAYmJYkdJiOAKCgqwadMmuLq6wsfHB/Hx8ZXWKbkOhoSElNnn4eGB1q1bAwAuXLiAQYMGwd7eHubm5mjUqBF8fX2RnZ0t87gl10F/f3/V3tRb1NJN0LRpU/To0UPmutAvXrxA3bp10bVrVzRp0gS2trZ4/Pgxjh49Co7jcOHCBbRt27bcY/v4+CA0NBQRERFl9iUlJeHkyZNYvnw5srOzIZFIUFRUhMLCQn67qKhIahsozrZKJw+seCyFaM/lLUOIJrUDEA0g9a3X7QAcBtAVwB4AZZf2IqR8pdd6KdlWx2tCtiibmZnB29sbvr6+5S5TXPo6mJ2djc2bNyM4OBgNGzbEN998gxo1asDf3x8zZ85E9erVMWjQIDg4OODGjRsIDQ1Fp06dcO7cOZlfbCu6DipN6EEI6enpjOM4tm3bNpn7c3Nz2bNnz8q8fv/+fWZlZcV69+5d4fG3bt3KOI5jGRkZUq8/ePCA1apVSy13HdCDHvSo+NEFYAxgyVoQCz3ooalH3bp1WVRUlMLXQcYYCw8PZyYmJqxly5YsOTlZat/KlSsZALZmzRqFroOqEDwZuH37NgPArl69qnDdQYMGMTMzM5afn19umatXrzIA7Pbt21KvT5s2TfQ/DHrQw1AfHVCcDCRoQSz0oIcmHzNnzlTqOjhnzhwGgF24cKHMvqKiIlazZk3Wpk0bha6DqjCBwPLy8gCgwil979y5g++//x7//PMPXrx4gYKCAqn9ycnJ5Ta9WFhYSJ2ndB1CiOZZAfjmv+2jIsZBiBhevXpV5jV5roNXr14FAJw+fRpnz54ts9/U1BQPHjyQWbe866AqBE8GzM3NAaDcwQ+XL19Gz549AQB9+/ZFo0aNYGVlBY7jcPjwYdy9e7fCN5iTkyN1nhJjx47FwYMHhXgLhJAK9EHxuAAjALUAdARgA+AUgC9EjIsQTeM4DmPHji3zemXXQQB4/fo1AGDFihUKn7e866BKBGtj+E9GRkaFfSUDBgxgANjFixfL7OvXrx8DUOFEDxX1lRw6dIgNHjxY9GYjetBDnx9zUdwlUPqxC2AOWhAbPeihqYeTkxM7dOiQUtdBxhhr3bo1A6Dw9MSVXQeVJfithVZWVmjSpAmuX78uc39MTAzs7OzQpUsXqdezs7Nx69atSo9/48YNuLm5yVzveejQoThy5Ag/8p4e9KCH8I91jAGMAfn5wKNHwI8/4mNbW7y0swM7f170+OhBD1kPeecIqEz9+vWxadMmREdHY+jQoTLLVHYdBID27dsD+H93gSIqug4qSy3zDPTp0wcHDx5Efn5+mX3169dHamqq1IQMRUVFmD9/PpKSkio8bl5eHg4ePIjevXsLHjMhREGmpkDDhsBnnwGnTgGpqcDYscB/TZiEaBPGmEr169evj82bN+Phw4eYOnVqpXPZVHQdBIpvDzQxMcHs2bNlJipv3ryROfeO2q6DTA3Cw8MZABYYGFhm37FjxxgAVr16dTZ16lQ2Z84c1qJFC1ajRg323nvvMaD8boLAwEAG0HoChGglDw/GAMZkjI4mRGxxcXFKdQc4OzuzgICASpccfltF18ESmzdvZsbGxqxKlSps2LBhbMGCBWz69Omsb9++zNzcnE2bNq1MHXVdB9WSDDDGWP/+/Vn9+vVl9occOHCAtW7dmlWtWpXZ29uzESNGsJiYGDZhwoRyk4G0tDTm5OTE+vfvr66QCSGqaNeuOBk4cEDsSAgp48mTJwonAVu2bKnwVvfKVHQdLPHvv/+yUaNGsTp16jBTU1Nmb2/PWrduzb788ksWGRkpVVad10G1JQNCr1qoztWaCCEqSkpizNy8OBkICxM7GkLKkDcZaNCgAdu6datKSUAJXboOqi0ZYIyxgIAABoAtX75c6WNIJBK1r+NMCKlEeDhju3YxlpNTdl9UFGPvvVecCHTooPnYCJHDy5cvK0wCGjZsyLZt2yZIElCarlwH1ZoMMMaYn58fA8C8vb0VvoUiLS2NeXt7MwBsxYoVaoqQEFKpc+eKL/aWlox16cLYqFGMDRvGmKcnY0ZGxfuaNmUsLk7sSAkpl7u7u8wkYPv27aygoEBt59WF66DakwHGijMjS0tL5uTkxAIDAysdiJGbm8sCAwOZk5MTs7S0pBYBQsT26hVjK1Yw1r8/Y87OxUmBmRljtWsz1qcPY/7+jOXmih0lIRV68OABa9OmDTMyMmLvvvsu27Fjh1qTgNK0/TqollULZYmNjYWPjw+CgoLg4OAALy8veHp6wsPDAxYWFsjJyUF4eDhu3LiBgwcP4tWrV+jfvz82bNgAFxcXTYRICCHEABQUFMDU1FTj59Xm66DGkoESERER2LhxI86cOYMHDx5I3fvJcRzc3NzQu3dvzJgxA02bNtVkaIQQQojaaeN1UOPJQGmZmZl49OgR8vLyYG5uDldXV0FnVCKEEEK0mbZcB0VNBgghhBAiPrVMR0wIIYQQ3UHJACGEEGLgKBkghBBCDBwlA4QQQoiBo2SAEEIIMXCUDBBCCCEGjpIBQgghxMBRMkAIIYQYOEoGCCGEEANHyQAhhBBi4CgZIIQQQgwcJQOEEEKIgfsfjBIkigf8jXUAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = net.IFN()\n", "n.add_link(\"a\",\"b\",1)\n", "n.add_link(\"a\",\"c\",5)\n", "n.add_link(\"a\",\"d\")\n", "n.add_link(\"b\",\"c\")\n", "n.add_link(\"b\",\"e\",3)\n", "n.add_link(\"c\",\"e\",1)\n", "n.add_link(\"d\",\"c\",5)\n", "n.add_link(\"e\",\"a\",3)\n", "\n", "nT=n.reverse_network()\n", "\n", "n.show();\n", "nT.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we reverse the direction, the adjacency matrix is transposed." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "original network\n", " [[0, 1, 5, 1, 0], [0, 0, 1, 0, 3], [0, 0, 0, 0, 1], [0, 0, 5, 0, 0], [3, 0, 0, 0, 0]] \n", "\n", "reverse network\n", " [[0, 0, 0, 0, 3], [1, 0, 0, 0, 0], [5, 1, 0, 5, 0], [1, 0, 0, 0, 0], [0, 3, 1, 0, 0]]\n" ] } ], "source": [ "F0,nodes0=n.get_matrix()\n", "print('original network\\n',F0,'\\n')\n", "F1,nodes1=nT.get_matrix()\n", "print('reverse network\\n',F1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Path\n", "\n", "### Find Path\n", "Once we have define the network, we can get path from the network. Ths path is not necessarily the shortest path.\n", "\n", "```python\n", "n.find_path(startNode, endNode)\n", "```" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "path a->e = ['a', 'b', 'c', 'e'] \n", "\n" ] } ], "source": [ "n.show();\n", "print('path a->e =', n.find_path('a','e'),'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If path does not exist, it return empty list" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.find_path('a','g')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We cannot find path to itself because it would just return *itself*." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['a']" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.find_path('a','a')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Find All Possible Paths\n", "\n", "We can find all possible paths from a startNode to endNode\n", "```python \n", "n.find_all_paths(startNode, endNode)\n", "```" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "all paths a->e =\n", " [['a', 'b', 'c', 'e'], ['a', 'b', 'e'], ['a', 'c', 'e'], ['a', 'd', 'c', 'e']]\n" ] } ], "source": [ "print('all paths a->e =\\n', n.find_all_paths('a','e'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shortest Path\n", "\n", "We can also get the shortest path. Shortest path is a path with minimum number of links.\n", "We can get the shortest path by *shortest_path* method\n", "```python\n", "n.shortest_path(startNode, endNode)\n", "```" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "shortest path a->e = ['a', 'b', 'e'] \n", "\n" ] } ], "source": [ "print('shortest path a->e =', n.shortest_path('a','e'),'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get the total weights along the shortest path, we use\n", "```python\n", "n.path_distance(startNode, endNode)\n", "```" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.path_distance('a','e')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we know the path as node sequence (i.e. trajectory) then we can also get the the total weights along the trajectory.\n", "```python\n", "n.path_sum_weight(trajectory)\n", "```" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n.path_sum_weight(['a', 'b', 'c','e'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### All Shortest Path\n", "We can find all shortest path matrix.\n", "```python\n", "n.all_shortest_path()\n", "```\n", "\n", "*all_shortest_path* method produces a path matrix. The path matrix entries is the sum of link weights if there is a path and *inf* if no path exist." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "all shortest path:\n" ] }, { "data": { "text/plain": [ "([[6, 1, 2, 1, 3],\n", " [5, 6, 1, 6, 2],\n", " [4, 5, 6, 5, 1],\n", " [9, 10, 5, 10, 6],\n", " [3, 4, 5, 4, 6]],\n", " ['a', 'b', 'c', 'd', 'e'])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print('all shortest path:')\n", "n.all_shortest_path()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Testing Path\n", "\n", "Testing if a trajectory (i.e. node sequence) is a path\n", "```python\n", "n.is_path(trajectory)\n", "```" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is a->b->d a path? False \n", "\n" ] } ], "source": [ "print('is a->b->d a path?',n.is_path(['a','b','d']),'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set Path\n", "\n", "Let us set that node sequence as a path in the network by expanding the network." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "n.set_path(['a','b','d'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can check if the same node sequence above is already a path." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is a->b->d a path? True \n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('is a->b->d a path?',n.is_path(['a','b','d']),'\\n')\n", "n.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Network Properties\n", "\n", "The example below we also shows network properties after we define the network." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Network: {'Beijing': {'New York': 7, 'Toronto': 7}, 'New York': {'London': 10, 'Toronto': 8, 'Tokyo': 1}, 'London': {'Berlin': 9}, 'Berlin': {'Beijing': 5}, 'Toronto': {'Tokyo': 15}, 'Tokyo': {'Berlin': 5, 'Beijing': 11}}\n", "Total Nodes: 6\n", "Total Links: 10\n", "List of Links: [['Beijing', 'New York'], ['Beijing', 'Toronto'], ['New York', 'London'], ['New York', 'Toronto'], ['New York', 'Tokyo'], ['London', 'Berlin'], ['Berlin', 'Beijing'], ['Toronto', 'Tokyo'], ['Tokyo', 'Berlin'], ['Tokyo', 'Beijing']]\n", "List of Nodes: ['Beijing', 'Berlin', 'London', 'New York', 'Tokyo', 'Toronto']\n", "Total Flow: 78\n", "Network Entropy: 2.171231309893255\n", "Coef. Variantion of Flow: 0.14707313230461527\n", "Node Flow: {'Beijing': 14, 'New York': 19, 'London': 9, 'Berlin': 5, 'Toronto': 15, 'Tokyo': 16}\n", "Link Flow from 'Tokyo' to 'Berlin' is 5\n", "is_connected? True\n", "is_strongly_connected? True\n", "is_premagic? False\n", "is ideal flow? False\n" ] }, { "data": { "text/plain": [] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import IdealFlow.Network as net # import package.module as alias\n", "n = net.IFN()\n", "n.add_link(\"Beijing\",\"New York\",7)\n", "n.add_link(\"New York\",\"London\",10)\n", "n.add_link(\"London\",\"Berlin\",9)\n", "n.add_link(\"New York\",\"Toronto\",8)\n", "n.add_link(\"New York\",\"Tokyo\",1)\n", "n.add_link(\"Tokyo\",\"Berlin\",5)\n", "n.add_link(\"Tokyo\",\"Beijing\",11)\n", "n.add_link(\"Beijing\",\"Toronto\",7)\n", "n.add_link(\"Berlin\",\"Beijing\",5)\n", "n.add_link(\"Toronto\",\"Tokyo\",15)\n", "n.show(\"Circular\");\n", "\n", "# showing a few network properties\n", "print('Network:', n) # string representation is an adjacency list\n", "print('Total Nodes:',n.total_nodes) # number of nodes\n", "print('Total Links:',n.total_links) # number of links\n", "print('List of Links:',n.get_links) # list of links\n", "print('List of Nodes:',n.nodes) # list of links\n", "print('Total Flow:',n.total_flow) # total flow\n", "print('Network Entropy:',n.network_entropy) # network entropy \n", "print('Coef. Variantion of Flow:',n.cov_flow) # coef. variation of flow\n", "print('Node Flow:',n.nodes_flow) # dictonary of {node name: sum of flow in node}\n", "print(\"Link Flow from 'Tokyo' to 'Berlin' is\",n.get_link_flow('Tokyo','Berlin')) # specific link flow from and to node \n", "print(\"is_connected?\",n.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n.is_premagic) # balance of flow test\n", "print('is ideal flow?',n.is_ideal_flow) # ideal flow test\n", "n # network name " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an exercise, can you balance the flows in the network above such that the sum of inflows is equal to the sum of ouflows?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## More Examples\n", "\n", "Below are more several examples on how to create networks and showing its properties." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Network: {'a': {'b': 1}, 'b': {'c': 3}, 'c': {'a': 1, 'e': 1}, 'e': {'e': 5}, 'd': {}}\n", "Total Nodes: 5\n", "Total Links: 5\n", "List of Links: [['a', 'b'], ['b', 'c'], ['c', 'a'], ['c', 'e'], ['e', 'e']]\n", "List of Nodes: ['a', 'b', 'c', 'd', 'e']\n", "Total Flow: 11\n", "Node Flow: {'a': 1, 'b': 3, 'c': 2, 'e': 5, 'd': 0}\n", "Link Flow from b to c is 3\n", "is_connected? True\n", "is_strongly_connected? False\n", "is_premagic? False\n", "is ideal flow? False\n" ] } ], "source": [ "# example of any network, not necessarily ideal flow\n", "n = net.IFN(\"general network with self-loop and an isolated node\")\n", "\n", "n.add_link('a','b')\n", "n.add_link('b','c', 3)\n", "n.add_link('c','a')\n", "n.add_link('c','e')\n", "n.add_link('e','e',5) # we add self loop\n", "n.add_node('d') # we add a node alone\n", "n.show(); # show the network\n", "\n", "# showing network properties\n", "print('Network:', n) # string representation is an adjacency list\n", "print('Total Nodes:',n.total_nodes) # number of nodes\n", "print('Total Links:',n.total_links) # number of links\n", "print('List of Links:',n.get_links) # list of links\n", "print('List of Nodes:',n.nodes) # list of links\n", "print('Total Flow:',n.total_flow) # total flow\n", "print('Node Flow:',n.nodes_flow) # dictonary of {node name: sum of flow in node}\n", "print('Link Flow from b to c is',n.get_link_flow('b','c')) # specific link flow from node 'b' to node 'c'\n", "print(\"is_connected?\",n.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n.is_premagic) # balance of flow test \n", "print('is ideal flow?',n.is_ideal_flow) # ideal flow test" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Design Total Nodes: 5 \n", "Design Total Links: 8\n", "C= [[0 1 0 0 0]\n", " [0 1 0 1 1]\n", " [0 0 0 0 1]\n", " [0 0 1 1 0]\n", " [1 0 0 0 0]] \n", "\n", "Is Irreducible: True\n", "Total Nodes: 5\n", "Total Links: 8\n", "List of Links: [['a', 'b'], ['b', 'b'], ['b', 'd'], ['b', 'e'], ['c', 'e'], ['d', 'c'], ['d', 'd'], ['e', 'a']]\n", "List of Nodes: ['a', 'b', 'c', 'd', 'e']\n", "totalFlow: 8\n", "nodesFlow {'a': np.int64(1), 'b': np.int64(3), 'c': np.int64(1), 'd': np.int64(2), 'e': np.int64(1)}\n" ] }, { "data": { "image/png": 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QmPv7+2eZa8TGxiq8l4Z8ZHVpf/HixQr1O3ToIMLCwkRcXJxIS0sTz58/F3///bdo27atvI6Tk5PYu3evVu9Z2bJl5e1nzZqlVVujJ4ofvimVLFlSof6mTZt03bVaDRo0kPef2RiPj3/B9u/fn2m/6enpCvEHBwerrHf27FmND6IfZBw/kdlB79y5cwr11MWQ0fr16xXaqBub8fH78c8//2Ta76ZNmxTqOzs7i9evX2faJuMY0NatW2cZuyb0SRTVjWkxZNtHjx4pHLD27dunUbsvv/xS3qZfv35K2435ORPCeIlibGyswrfnL7/8UqO+9d2vEMr/h0FBQVn2PXnyZHl9KysrtZ8vTWIw1mdBW5klipcvX1ZI1GbPnq2yD00+e8Z+vbokinFxcQqv799//1WqM3r0aPn2v//+W7Rq1Ur+XFUSlvH3avDgwUrbTXnc1vWYljGRuXXrlsJZYBcXl0xPjOhjyJAh8v00aNBAq7YZT1Z8/fXXQoj3f6fHjh0rL7e1tRUrV67UqD9zJopCvP8ynzGRU/ewtrYWnTt3FleuXNHq/RJCKHyW/fz8tGprsLue+/fvj3bt2skfbdu2Rf369eHi4oLu3bvjwYMHAABra2v88MMPBhvzk1H9+vXlP2d2p2RGFSpUQOvWrTOtY2VlpXDH9tWrV1XW2759u/znfPnyyecvysyoUaM0ijNj33ny5MHIkSOzbNO3b1/5PGkf96GOp6dnluMe6tWrp/D8s88+y3K8acY25p7Yt1ChQujZs6fR227ZskU+9srHxwdt2rTRqF3//v3lPx88eFBpuzE/Z8a0detW+Rgta2trs60GYm1tja+++irLeiNHjpSP05PJZNixY4fO+zTWZ8GQfHx88Pnnn8ufz507Vz7uWFvZ8fUWLFhQ4Q7mj8ciZiyztbVF48aN0bJly0zrHz58WP6zqvGJpjpu63NM++DcuXOoX7++fFLmUqVK4dixY0qzlRhKxllPPowl1YQQApcuXZI/r169Ol6/fo2OHTvixx9/BPB+rPahQ4cwdOhQjfp0cHBQWFnOkA93d/cs99+1a1ccPnwYHTt2zLRey5YtMWLECFSqVEmj15VRxrv9tR23arDR7ZpMw/HZZ59h0qRJOg0mffbsGQ4cOIBLly7h4cOHiI+Plx+IPsg4hY2ma5c2bNhQo3oZ32R1A+s/DCQG3g8y1WSwaJ06dVC4cOEsb3M/deqU/OfGjRujQIECWfZtbW2NTp06yQcjZxwEq07GZFudjAcxTdt8mB0egNnX+q5fvz5sbW2N3jbjHFlZfRnJKOMfs4cPH+Lhw4cK024Y83NmTBnfj/r166N06dJmiaNGjRooWrRolvWKFy+O6tWr49y5cwAU33dtGeuzYGgzZszA1q1bkZycjFevXmHWrFmYP3++1v1k19fbokULXLhwAcD7RHTcuHHybc+ePcOVK1cAvP99cXR0VEj+Dh48qDAF0/Xr1+U31Hzo+2OmPG7rekwDgLCwMPTs2RNv374FAFSuXBl79+7NciohfXy4eQd4n8RrKiYmRmEJYEdHR9StWxfR0dEA3k8yffLkSZQvX17jPosWLYqwsDCN6xvS27dvMXHiRKxatQqpqakA3s9x6u3tDRcXF7x58wZXr15FYmIi9u/fj/3796N27drYuHGjwtRWWXFxcZH/nHFaHk2Y9DbIkydPav0N9e7duxg/fjx27NihcMdYVjS9S/LjpEedfPnyyX/OOJN6Rjdu3JD/rE0y7OPjo/DNVJWMS+9kNa9XRhnnXIqNjYVMJoOVlfoTyZq8Hx8nJtq2Uff+mYo2BxB92l6+fFn+8549e9Seic7Ks2fPFP5YGvNzZkwZzyTXrl3bbHFo+559SBQzvu/aMtZnwdBKly6NkSNHYsGCBQCApUuXYvTo0fjkk0+06ie7vt4WLVrIzzodO3YMqamp8gTr8OHD8hk0PpxJrFmzJgoUKIDXr18rnVHM+LxSpUoqv3yY6ritzzHtr7/+QnBwsPzva5MmTbBz5044Ozvr3KcmPiSlADSepQSAPNH/YODAgQp9paWl4eDBg3q9J6by9u1btGrVCqdPnwbw/u9kcHAwhg4dqvA3MzU1FZs3b8bYsWPx/PlzREREoFGjRjhx4gQqVKig0b4y9pfx/dKEwRLF2NhYlC1bVv789evXuHfvHrZv347FixcjLi4O9+7dQ/v27bFv3z6NTmdHRESgTZs2Ok2N8fHZRnV0WS7ow8HkYxnPlBUqVEjj/jSpm7HvIkWKaNx3xrpCCLx69SrTb2+Z3ZpvyDbmlNVlckO1zTgdVHR0tPwbr7Y+TEj7gTE/Z8aU8Uuiq6ur2eLQ9T3T50y4sT4LxjB58mSsWbMGr1+/xrt37/Ddd99pvY52dn29TZo0ga2tLVJTU/H27VucOXMGjRo1AqB4qfvD2UFra2s0bdoUu3btwsOHD3H9+nX5VEqq6n/MVMdtfY5p//77r/xnGxsbrFy50uhJ4sfU/U1V5eNE8e3bt7CxsUGBAgXkn7vvv/8e/fr10yoBNYexY8fKk0Q7Ozvs379f5VVOW1tbfPHFF6hXrx7q1auHly9f4tmzZ+jXr5+8fVa0eY8/ZrSVWQoUKAAfHx9MnToV//77r/wUdlJSEnx9fZXmVPzY27dv0b17d3mSaGtri88//xxbtmxBZGQkXrx4gXfv3kG8vyEHQgizjXn6IOO8TtokT5okqxkTX336fvfuncZtc6rMvpkbsq2239rU+bBg/AfG/JwZU8bPnjlj0fU90/TLpyrG+iwYQ8GCBRVWaNmwYYP8kqymsuvrdXR0VDibnTHZ+3CGMG/evArDaT6+/Ay8/6N75MgReXnGsYwZmeq4rc8xrUWLFvKzTWlpaWjTpo1OK5FpK+NVOlUrfanzYd7BD4oUKYLw8HDMnTtXXvbgwQMsWbJE/yCN6NGjR1izZo38+ZAhQ7IcClexYkWFNdnPnDmj8epbGd/jjO+9Jkxy6blMmTLYsmULmjRpAplMhgcPHiAgIACrV69W22bt2rXycYa2trY4cOAAmjZtmul+Mo5bMIf8+fPLz5poE0t8fHyWdZydneXjy/Tp29TfFHOzjP9n8+bNy3KZKU0Z83Omqw8TY2fGxcVFPjbGFGfG1NH1PdNkfJk6xvosGMuYMWOwdOlSPHjwADKZDAEBAfjrr780bp+dX2+LFi3k4/4OHTqEqVOn4v79+/LkqFGjRgpJXcZE8dChQxg5ciQuXrwo/x20srJCs2bNVO7LEo7bjRs3xpQpU9CpUyckJCTg/v37aNq0KQ4dOqR2UnJDyHhVQZshaRnPKFavXh1//vknSpcujYYNG2Lu3Lnyy/1z5szB0KFDNfq9ffLkicKNVIb0+eefK9wk9sHBgwcVhtN169ZNo/66du2KCRMmyJ8fOnRIo4m39bmiY7Ixig0bNsSAAQPwyy+/AHifCI4ePRqVK1dWWT/jwFJfX98sk0QAuH//vmGC1VHRokXl/xmarGP9we3bt7Os4+rqKj/g3Lp1S+O+M9bNly+fdrOxk16KFSsm/z8z5LrBxvycAYpnPj4Mrs6KJpdlixcvLk8Udb0UaQi6vmea3ACjjrE+C8bi4OCAadOmYciQIQDejzM8evSoxitBZOfX26JFC8ycORMAcPr0aSQmJma6ukrlypXh6uqKp0+f4vDhw5DJZAr1q1evrjaRs5TjdtOmTREWFoYOHTogPj4eDx8+RLNmzRAeHg5vb2+j7NPNzU3+s6Y3nz548EDhJpglS5bIb4qzsbHB1KlT5UnZixcv8MMPP8j/rzOTlJSEffv2aRO+xj6eJeSDj/MVTccBf3wT4KNHjzRql/E9zjhMUBNGu/SsyvTp0+Wn1NPT0zF58mS1dTMu71WnTp0s+xZCaHR3mDHVrFlT/rOmd0i+fv1aoz+aGfvOeCddVjK+J7Vq1dK4HemvQYMG8p+1+T/LijE/Z4DieCdNv+lHRkZmWSfj+3H06FGTXEZV5ezZsxrtWyaTyW9kARTfd20Z67NgTAMHDoSXl5f8ecazGFkx9uvNeKlV27FXDRo0QJ48eQC8H8Zx7NgxhcTv48vIkiTJl5d7+fIlLly4oNGyfYBlHbcbNmyIAwcOyJPex48fo3nz5go3JhlSxpNEml7qzng20crKSukGIV9fX4XEduHChVrf4WsqHw8v0PTy+8c3g2r6JSLje6ztzDMmTRRLlSol/4YKALt27VI4EGek6ZmMD8LCwuRzNZpLxrOeUVFRGv2CZZxbLjMZL23cuHFDowTh3r17Cne5qrs8QsbRvn17+c+nTp3CtWvXDNKvMT9nwPuhIh9o0ve///6Le/fuZVmvXbt28p8fPnyIP//8U6N4DO3Jkycq58T7WHh4uMLZME2uaqhjrM+CMVlbW2PWrFny52fOnEFoaKhGbY39eh0dHeU/azO+DXj/BzrjWLBDhw7Jj5POzs4q1w3OmDzu379fvk44kHmiaGnH7Tp16uDQoUPym7iePXuG5s2bK40LNISMY0WfP3+u0ZmxjIlihQoVlMbaWVlZYfr06fLnb9++xYwZM7Lst2zZsgr3OxjyMW3aNJX7/Phufk3nfv64niZTGL1+/Vrh5Ju2s06YNFEE3i84nzGTnjJlisp6Gd/ErAZrJiYm4ptvvjFMgHro3bu3wgc344BwVRISEjT6EANAnz59FMZajB8/PsuzIhnr2NjYYNCgQRrtiwzj008/lY/xEUJg2LBhWn8BUsWYnzNA8QzG33//jYSEBLV1hRAKg6sz06lTJ4WpHMaMGaPzhM76CgwMzHRcZVpamsIVj+LFi6NDhw46789YnwVj69q1q8LZwUmTJmnUztivN+O8rLpMW5Qxufv111/llwGbNWum8saQjPV//vln+XjDDxNzq2OJx+3q1avj8OHD8nFsL168QMuWLfWaR1SVmjVrKly90KT/jAlr9erVVdbp3r27QrK/atUqrSeYNoVmzZpBkiT5859//jnL3xEhhNK8ppl9Ufkg43ubJ08ejeY+zsjkiWKJEiUUZkvfu3evylPyGV/8tm3b1A6kjouLQ6dOncw65umD/Pnz4+uvv5Y/DwsLw9ixY1X+QYqPj0e3bt00HpuRL18+hclhjx07hsGDByvcAfuBTCZDYGAgfv/9d3nZoEGDtJ4LjfRjZWWFn376SX4wOHbsGNq1a6fRme9r167hq6++wg8//KC0zZifMwDo0aOH/OdXr15hzJgxKuulpqZi+PDhOHDggEb9WllZKbyeD4PmM841p8qlS5fw22+/abQPTZ07dw4DBw5U+fuTnJyML7/8UuFqx8SJE2Fjo/uQbmN9Fkwh492kmiZlxn69GS/pXr58WevxZRn/vjx+/Fj+s7q7l8uXLy8fG5axft26dTO9g9RSj9s+Pj44cuSIfI7cV69eoU2bNgYd3mVra6swGbsmc7x+fCOLKpIk4fvvv5c/T0lJMfuMKKoUK1YMnTt3lj+/cuUK+vbtq3ae4bS0NHz99dcIDw+Xl9WpU0ft+5BRxve2adOm2o951XK5QDlt1tn92IMHD0SePHnkbVu2bKlU58mTJ8LR0VFex8rKSvTv319s27ZNHDt2TOzatUuMHz9eFCpUSAAQ+fPnF76+vvL6TZs2Vbv/zBZE1+T1ZtZ3UlKS8PLyUnhvqlevLpYsWSIOHjwowsLCxIwZM0SpUqUEAFGkSBGFNRgzW7c0LS1NYYF5AKJixYpi3rx5Yt++fSI8PFwsWbJE1KhRQ6GOh4eHSEhIMOj7kbH/w4cPZ1n/8OHDCm0MQde1njV9jYZoK4QQs2fPVojTzs5O+Pr6ilWrVol9+/aJY8eOiT179ojVq1eLkSNHKnx+1O3PmJ8zIYTo0aOHQt+NGjUSa9euFf/884/Yu3evCA4OFuXLlxcARIkSJUTr1q017nv8+PEKfdvY2IjPPvtMrF27VoSHh4sjR46IP/74Q0yaNElUq1Yt0z51Weu5a9eu8uOPh4eH+PHHH8X+/fvF/v37xY8//ig8PDwU4mvYsKFIT09X27c26w4b47OgjczWes5M586dFeL+8MhqnXFjvd7U1FRRsmRJhb69vLxE+/btRZcuXeSPgwcPqm3v5OSk9HquXr2qdp8DBw5Uqj9lypQs37vsdNzWtm10dLT8GAJAODo6iiNHjmi1r8xs2bJF3nf58uUzrfvixQuF92f//v2Z1q9fv75C/qDL+sjGdvPmTeHi4qLwukqWLCmCgoLE7t27xbFjx8Tff/8tZs6cKdzd3RXqOTg4iLNnz2q0n6pVq8rbrVmzRus4zZIoCiHEqFGjFNqr+vCFhoYKGxsblQeojI98+fKJv//+W+NkzpiJohBC/Pfff/I/olnFfeDAAa3+0Lx+/Vo0b948y74/PKpVqyYePXqUaZ9MFDOnb6IohBC//PKLwpcjTR+Z7c+Yn7NHjx4pHZhUPYoUKSLOnTunVd9CCBEcHCwkSdL4fTBkojh16lTx66+/anRsqVGjhnjx4kWmr0Xb126Mz4KmdE0Ur1y5IqytrZViyipRFMJ4rzc8PFzky5cv0z7Wrl2rtn3Hjh0V6hYvXjzT/W3YsEGpf02Tpuxy3Nal7a1bt0SZMmXk9fPmzSvCw8O12p86SUlJwtnZWd73hQsX1NY9ePCgwnv07NmzTPsODw9XqN+lSxeDxGxoZ86cUfrSk9WjYMGCYu/evRr1f+PGDXk7BwcHER8fr3WMJr/0/EFAQID8zjMA+O6775TqdO/eHeHh4Wqn0LG2tkabNm1w/vx5hcHT5layZEn8+++/GD58uNqJhRs3boyzZ8+iVatWWvWdP39+HDhwACtXrsz0FveiRYti3rx5OH36tMbLFJLxDBw4ENHR0Rg5cmSW83o5OjqiY8eOWL9+fabzzxnzc1asWDEcO3YMvXv3VhhH84G1tTW6du2Kixcv6nQ38KRJk3DhwgV06dIl0zVq8+TJg08//RSDBw/Weh+Z6devHw4fPoxq1aqp3J4vXz5MnDgRx48fV1gj1RCM8VkwNm9vb53nmTPW623ZsiWuXLmCwMBA1K9fH4ULF9ZqveOPLzN/uLNZnY/Hgjk4OGg81suSj9vlypXD0aNH5UviJSYmolOnTgZZGzlPnjwYOHCg/PmGDRvU1s142blkyZIoXLhwpn23bNlS4f90586dGq9iYkp16tTBlStXEBAQkOUUXM7Ozhg1ahSuXr2qcHNgZjK+p/369YOTk5PWMUpC6LGui4kIIXD+/HmcO3cOcXFxcHJyQvHixdGoUaNs88ukzuvXr3Hw4EHcvXsX6enpKFGiBOrWrWuwdSgjIyNx4cIFPH36FDKZDEWKFIGPjw9q1qyp8g88mV96ejrOnz+PqKgoxMXFISkpCfny5UOxYsXg6ekJb29vrf7gAcb9nD169AiHDx/GgwcPYG1tjVKlSqFx48YKNxToIyEhAceOHcO9e/cQFxcHGxsbFCpUCB4eHqhVq5bCF0pjuHLlCi5cuIBHjx7B3t4e5cqVQ8uWLU0y56gxPgvZWW57verwuP0/d+/ehbu7O9LS0lCoUCE8ePDA7KtImYtMJkNUVBQuXryI58+fIyEhAXnz5kWhQoVQpUoV+Pj4aDVWOj09HaVLl8bDhw8hSRKioqLkS1BqwyISRSIiIsqZBg0aJF+MY/Xq1Qa/gpBbbd68GX5+fgDe34G/ZcsWnfphokhERERmc+/ePVSsWBHJyclwd3fH9evXYW1tbe6wLF7VqlVx+fJlWFtb4+rVqzovyWi2MYpEREREpUuXls+FHBMTg19//dXMEVm+33//Xb5ggr+/v17rdvOMIhEREZlVYmIiPD09cf/+fZQqVQo3btyAg4ODucOySKmpqfDy8sKtW7fg6uqKGzduZHkjWWaYKBIRERGRSrz0TEREREQqMVEkIiIiIpWYKBIRERGRSkwUiYiIiEglJopEREREpJLma8EQEZHJJCQkICYmBsnJybC3t4e7uzscHR3NHRYR5TJMFImIsomoqCisWLECBw4cQHR0NDLOXiZJEjw8PNC6dWsMHz4clSpVMmOkRJRbcB5FIiIzi42Nhb+/P8LCwuDq6ooePXqgdu3aqFSpEvLmzYvExERERUUhIiICoaGhePr0Kdq1a4dly5bBzc3N3OETUQ7GRJGIyIxCQkIwZswYFC5cGLNmzULPnj1hZ2entn5KSgq2bduGwMBAxMXFYeHChRg8eLAJIyai3IQ3sxARmUlwcDCGDBkCX19fREZGws/PL9MkEQDs7Ozg5+eHK1euwNfXF0OGDEFwcLCJIiai3IZjFImIzCAkJARBQUGYMWMGgoKCtG7v5OSE1atXo3Tp0ggKCkKxYsUwaNAgI0RKRLkZLz0TEZlYbGwsfHx84Ovri9WrV+vVlxACQ4cOxebNmxEZGckxi0RkUEwUiYhMrH379rh27RoiIyPh5OSkd3/x8fHw8fFBpUqVsHfvXgNESET0HscoEhGZUFRUFMLCwjBr1iyDJIkAkD9/fsyePRthYWG4du2aQfokIgKYKBIRmdSKFSvg6uqKnj17Km1LSUnB4sWL0bZtW3zyySewt7eHq6srunfvjgsXLmTab48ePeDq6orly5cbK3QiyoV46ZmIyIS8vLzQvHlzLFu2TGnb48ePUbJkSTRu3BgeHh5wcXHB7du3sWvXLkiShKNHj6J27dpq+/b398eRI0cQFRVlzJdARLkI73omIjKRN2/eIDo6GhMmTFC53cXFBffu3UPJkiUVyq9evYp69eph0qRJOHDggNr+a9WqhRUrViAhIYHL/RGRQfDSMxGRidy6dQtCCLXL79nb2ysliQDg7e2N5s2b4+jRo0hNTVXbv7e3N4QQiImJMVjMRJS7MVEkIjKR5ORkAEDevHnV1rl48SL8/PxQunRp2NnZQZIkSJKE3bt3IyUlBc+fP1fb1sHBQWE/RET64qVnIiITsbe3BwAkJiaq3H7y5Em0aNECANCmTRtUqFABjo6OkCQJf/75Jy5dupRpEpiUlKSwHyIifTFRJCIyEXd3d0iShKioKNStW1dpe3BwMJKTk3Hs2DE0atRIYdvp06dx6dKlTPu/evUqJEmCu7u7QeMmotyLiSIRUSaePn2KCxcuQCaTwcrKCpIk6fWvu7s7IiIiMHDgQKV93bp1CwULFlRKEhMTE3H+/PksYz137hw8PT15IwsRGQwTRSIiNfbs2YNu3bplegOJtqysrPDo0SMsXLgQdnZ2CtvKlCmDGzdu4OrVq/D29gYApKenY9y4cXj27Fmm/SYnJyM0NBR9+vQxWKxERLyZhYhIjTlz5hg0SQQAmUyGhIQEbN26VWnb119/DSEEGjVqhGHDhmH06NGoUaMGfv/9dzRr1izTfkNDQ/H06VOMGDHCoPESUe7GRJGISI38+fMbpV9ra2sEBQXhzZs3CuWdOnXCtm3bUKRIEfzyyy/45Zdf4OHhgbNnz6JMmTJq+4uPj0dgYCDatWsHLy8vo8RMRLkTE0UiIjUGDx5slH79/f0RFxeHb7/9Vmlb6dKlERMTg7S0NCQkJKBy5cooV64c1q1bByEEypYtq1BfCIGxY8ciLi5O5WovRET6YKJIRKRGly5d4OPjY9A+mzZtigULFmDhwoUICQnBzJkzFbb7+/sj48qqu3fvVtuXEAIzZ85ESEgIFi1aBDc3N4PGSkTEtZ6JiDKxbds29OrVyyB9FS1aFBcuXEDx4sUBvJ8OJygoCIMHD8aCBQvg5OQESZKU2qk6TMfHx2Ps2LEICQlBcHAwJk2aZJAYiYgyYqJIRJQJmUwGHx8fREVF6dWPlZUVwsPD0bx5c4XykJAQjBkzBoUKFcLs2bPRt29fpbYZD9Mf7m4ODAxEXFwcFi1ahEGDBukVGxGROkwUiYiysGXLFvj6+urVx4wZMxAUFKRyW2xsLPz9/REWFqa0zcXFBXv37sXVq1dx7tw5+d3N7dq1w7Jly3i5mYiMiokiEVEmUlNT0atXL+zcuVPnPtq2bYu///4bVlaZDwv/559/1E6DI0kSPD090apVK4wYMYJ3NxORSXDCbSIiFVJSUtC9e3fs2bNHr35KliyJjRs3ZpkkAsDjx4+VyiZMmABfX1+4u7tzxRUiMjkmikREGSQnJ6Nz5844cOCA3n1ZW1tj69atKFy4sEb1Dx8+rFT25ZdfwsPDQ+9YiIh0wUSRiAhAUlIS2rVrh6NHjxqsz7lz56Jhw4Ya11eVKFasWNFg8RARaYtjFIkoV3v79i1atWqF06dPa1TfxcUFL1++zLJely5dsGPHDpXT3aij6dQ4RESmwgm3iShXSkhIQM2aNeHo6KhRknjr1i0IITB//vws67q5uWHt2rVaJYlERNkRzygSUa4SHx+PRo0aITIyMsu6NjY2iImJUVhnOTU1FRUqVMDdu3dVtrGzs8PJkydRs2ZNrWPjGUUiym54RpGIcoVXr17Bw8MDBQoUyDJJzJs3L+7fv4/U1FSFJBEAbG1tM10FZeHChToliaqULFnSIP0QEemKiSIR5WhxcXEoV64cXFxccOPGjUzrOjs748GDB3j79i1KlSqltl7//v3xySefKJV/9tlnGD58uE5x3r9/X6ns41VciIhMjYkiEeVIz549Q8mSJVG4cGHExsZmWrdo0aJ4/PgxXr58iRIlSmTZt729vdJZxYoVK2LVqlU6j0s8cuSIUhkTRSIyNyaKRJSjPHnyBEWKFIGrqysePnyYad1PPvkEz549w+PHj1G0aFGt9jN06FCMGTMGLi4uaNiwIfbu3QsnJyed41Y1NY66VVqIiEyFN7MQUY7w8OFDeHl5IT4+Psu65cuXx9mzZ1GwYEETRKYZNzc33LlzR6FMJpPxzmkiMismikRk0e7fv4+KFSvi3bt3Wdb18vLCyZMn4ezsbPzAtMQ7nokoO+LKLERkke7cuYPy5ctDJpNlWbdq1ao4evQo8ufPb4LIiIhyDo5RJCKLcuvWLUiSBDc3tyyTxFq1auHNmze4ePEik0QiIh0wUSQii3Djxg1IkgR3d/cs6zZs2BBv375FREQEHB0dTRCdflRdYi5XrpwZIiEiUsREkYiytaioKEiSBA8PjyzrNm/eHImJiTh+/Djy5s1rgugM4/bt20plvOOZiLIDJopElC1FRkZCkiR4e3tnWbdt27Z49+4dDh06BAcHBxNEZ1icQ5GIsismikSUrVy4cAGSJKFKlSpZ1u3cuTOSk5MRFhYGe3t7E0RnHJxDkYiyK06PQ0TZQkREBOrUqaNR3R49emDz5s2wtbU1clSmUbJkSaXJwXloJqLsgIkiEZnVqVOn0KBBA43q+vr64tdff4WNTc6a2YtzKBJRdsVLz0RkFseOHYMkSRolif3790daWhp+++23HJckEhFlZ0wUicikDh8+DEmS0KRJkyzrDh06FOnp6Vi3bh2sra1NEB0REWXERJGITOLAgQOQJAktWrTIsu5XX30FmUyGlStXwsoqZx+mVF1i9vT0NEMkRETKcvYRmIjM7u+//4YkSWjTpk2Wdb/99lvIZDIsXrxY5bi9nOj69etKZbzjmYiyCyaKRGQUO3fuhCRJ6NixY5Z1AwICIJPJ8OOPP+aaBPEDVVPjcA5FIsoumCgSkUFt27YNkiSha9euWdadMmUKZDIZZs+enesSxA9UJYpNmzY1QyRERMo4PQ4RGcTmzZvh5+enUd0ZM2YgKCjIyBFZhiJFiuD58+cKZTwsE1F2wUSRiPTy66+/on///hrVnTt3LiZMmGDkiCwL51AkouyME5IRkU7WrFmDwYMHa1R3wYIF+Oabb4wcERERGRoTRSLSyvLly+Hv769R3SVLlmDkyJFGjoiIiIyFiSIRaeTnn3/G6NGjNaq7cuVKDB061MgRWT6ZTKZUVqVKFTNEQkSkGhNFIsrU/PnzMX78eI3qrl27FgMGDDBuQDlIZGSkUhnnUCSi7ISJIhGpNGvWLEyePFmjuhs3bkTfvn2NHFHOwzkUiSi74zyKRNlNdDSweDEwYADg4wPY2ACSBMycafRdCyEwbdo0SJKkUZK4detWCCGYJOpIVaKoyRrYRESmwjOKRNnN8uXAokUm3aUQAkFBQZg1a5ZG9bdv345u3boZOaqc78iRI0plBQsWNH0gRERq8IwiUXZTuTIwbhywaRNw7RrQr5/RdiWEwLhx42BlZaVRkrh7924IIZgkGkh8fLy5QyAiyhTPKBJlNx/PTWhl+O9zQgiMHj0aixcv1qh+WFgY2rZta/A4iIgoe2OiSJSLyGQy+Pv7Y+XKlRrVDw8PR8uWLY0cFRERZVdMFIlyAZlMhsGDB2Pt2rUa1f/nn394U4WRpaWlKZXVqlXLDJEQEanHRJEoB0tPT0f//v2xadMmjeqfOHECDRo0MHJUBAAXLlxQKuPUOESU3TBRJMqB0tLS4Ofnhz/++EOj+mfOnEGdOnWMHBVlxDkUicgSMFEkykFSU1PRq1cv7Ny5U6P6//77L2rUqGHkqEgVVYliw4YNzRAJEZF6TBSJcoDk5GR07doVYWFhGtW/ePEiqlatauSoKDOqEsX8+fObIRIiIvWYKBJZsHfv3qFjx444dOiQRvWvXLkCb29vI0dFmkhOTjZ3CEREWWKiSGSBEhMT0bZtWxw/flyj+teuXYOnp6eRoyIiopyGiSKRBXn79i1atGiBs2fPalT/5s2bcHd3N3JURESUU3EJPyILsXTpUjg6OmqUJN6+fRtCCCaJ2VRKSopSGaclIqLsiGcUibKb8+cBf38AQFp6OuIvXEBBAJ8+foyaGap1A/A4w3N7e3vcuHEDpUuXNmGwpIuIiAilMk6NQ0TZERNFouwmPh44cwbA+1/Qgv9f/Mn/Pz6w//9/nZyccO3aNZQsWdJ0MZJeOIciEVkKXnomykbi4uJQpn9/SECWj4RChfDw4UPEx8czSbQwqhLF+vXrmyESIqLMSUIIYe4giHK7p0+fomrVqnj8+HGWdYsXL46LFy/C1dXVBJGRMVhZWeHjQy8PxUSUHfHSM5EZPX78GN7e3njx4kWWdcuUKYNz586hcOHCJoiMjIlJIRFZCiaKRGbw4MEDeHp6IiEhIcu6FSpUwJkzZ+Di4mKCyIiIiP6HiSKRCd27dw8VKlRQOT3KxypVqoSTJ0+iQIECJoiMiIhIGW9mITKBO3fuwNraGmXKlMkySaxevTri4+Nx9epVJok5UFJSklJZs2bNTB8IEZEGmCgSGdHt27chSRLc3Nwgk8kyrVu3bl0kJCTg/PnzcHJyMlGEZGqnTp1SKuPUOESUXTFRJDKCmJgYSJKE8uXLZ1m3cePGePv2LU6fPo18+fKZIDoyJ86hSESWhIkikQHduHEDkiShQoUKWdZt3rw5kpKScPToUeTNm9cE0VF2cOTIEaWyOnXqmD4QIiINcB5FIgO4fv06vLy8NKrbpk0b7Nq1C/b29llXphxHkiSlMh6GiSi74hlFIj1ERUVBkiSNksQOHTogOTkZ+/btY5JIREQWgYkikQ6uXLkCSZLg7e2dZd1PP/0UycnJ2LNnD+zs7EwQHRERkWEwUSTSwuXLlyFJEnx8fLKs2717d6SkpGDnzp1MEEktfjaIKDtjokikgYsXL0KSJFStWjXLur1790ZqaipCQ0Nha2trgujIUqhaiYdzKBJRdsZEkSgT//77LyRJQvXq1bOs6+fnh7S0NGzduhU2Nlz0iJQdP35cqYxT4xBRdsZEkUiFiIgISJKEWrVqZVn3iy++QFpaGjZt2gRra2sTREeWinMoEpGlYaJIlMHp06chSZJG89p9+eWXSE9Px/r165kgkkZUzaFYo0YN0wdCRKQhzqNIBODEiRNo1KiRRnWHDh2K5cuXw8qK37NIO5xDkYgsDf/SUa527NgxSJKkUZLo7++P9PR0rFy5kkkiERHlCvxrR7nSkSNHIEkSmjRpkmXdUaNGQSaTYenSpUwQiYgoV+FfPcpVDh48CEmSNLqB4Ntvv4VMJsOiRYtUXjIk0pejo6O5QyAiyhQTRcoV9u/fD0mS0KpVqyzrTpgwATKZDD/++CMTRDKYV69eKZXxjmciyu6YKFKOtnfvXkiShLZt22ZZd9KkSZDJZJg7dy4TRDK4o0ePKpVxsm0iyu6YKFKO9Ndff0GSJHTo0CHLut999x1kMhmCg4OZIJLRHDp0SKmsRYsWZoiEiEhznB6HcpSdO3eia9euGtWdNm0apkyZwuSQTKJKlSqIjIxUKEtPT+cNUkSUrTFRpBxh+/bt6NGjh0Z1Z86cicmTJxs5IiJFnEORiCwRF6Qli/bHH3+gd+/eGtWdM2cOJk6caOSIiIiIcg4mimSRtmzZAl9fX43qzp8/H2PHjjVyRERERDkPE0WyKBs3bkS/fv00qrtw4UKMHj3ayBER6aZo0aLmDoGIKEtMFMkirF+/HgMGDNCo7uLFi/HVV18ZNyAiLTx48ECpjHc8E5ElYKJI2dqaNWswePBgjeouW7YMI0aMMHJERNo7fPiwUhkTRSKyBJyXgbKlVatWQZIkjZLEVatWQQjBJJGMJzoaWLwYGDAA8PEBbGwASQJmztSouao5FLkqCxFZAp5RpGxl2bJlGDlypEZ116xZgy+//NLIEREBWL4cWLRI5+aqziiWK1dOn4iIiEyCZxQpW1i8eDEkSdIoSVy/fj2EEEwSyXQqVwbGjQM2bQKuXQM0vKHqgzt37iiVcaJ3IrIEPKNIZrVw4UJ88803GtXduHEj+vbta+SIiFT4eAgEV1MholyCiSKZxfz58zF+/HiN6m7ZsgV9+vQxckRERET0MSaKZFJz5sxBYGCgRnX/+OMP9OzZ08gRERmXqmX63N3dzRAJEZH2mCiSScycORPfffedRnW3b9+Obt26GTkiItO4ceOGUhnveCYiS8FEkYxGCIHp06dj+vTpGtXfuXMnPv30UyNHRWRanEORiCwZE0UyOCEEvvvuOwQHB2tU/6+//kLHjh2NHBWReXAORSKyZEwUyWCEEJg0aRLmzJmjUf29e/eiXbt2Ro6KyLxUJYpc55mILAUTRdKbEAITJkzA/PnzNaq/f/9+tG7d2shREWUPcXFx5g6BiEhnTBRJZ0IIfPvtt1i4cKFG9Q8ePMixWURERBaEiSJpTQiBUaNGYcmSJRrVP3LkCJo2bWrkqIiIiMjQmCiSxmQyGUaOHIkVK1ZoVP/o0aNo3LixkaMiyr7S09OVyqpXr26GSIiIdMNEkbIkk8kwbNgwhISEaFT/xIkTaNCggZGjIjKh8+cBf///Pb916/2/K1cCf/31v/IdO4DixeVPL1y4oNQVh18QkSVhokhqyWQyDBo0COvWrdOo/unTp1G3bl3jBkVkDvHxwJkzyuX//ff+8UFyssJmVXc8M1EkIkvCRJGUpKenY+DAgdiwYYNG9c+ePYvatWsbOSoiM2rWDFCxFF9WVCWKjRo1MkBARESmIQlVC5FSrpSeno5+/fph8+bNGtX/999/UaNGDSNHRWS57O3tkZKSolDGQy4RWRImioS0tDT4+fnhjz/+0Kj+hQsXUK1aNeMGRZQDSJKkVMZDLhFZEl56zsVSU1PRp08f7NixQ6P6ly9fho+Pj5GjIiIiouyCiWIulJKSgp49e2L37t0a1b9y5Qq8vb2NHBURERFlN0wUc5GUlBR07doVe/fu1ah+VFQUvLy8jBwVUc6UlJSkVNakSRMzREJEpDsmirlAcnIyOnfujAMHDmhU//r16/Dw8DByVEQ52+nTp5XKmjdvboZIiIh0x0Qxm0hISEBMTAySk5Nhb28Pd3d3ODo66tXnu3fv0KFDBxw+fFij+jdu3ECFChX02icRvafq945zKBKRpWGiaEZRUVFYsWIFDhw4gOjoaIW7ISVJgoeHB1q3bo3hw4ejUqVKGveblJSEtm3b4tixYxrVj4mJQfny5bWOn4jUUzWHIiekJyJLw+lxzCA2Nhb+/v4ICwuDq6srevTogdq1a6NSpUrImzcvEhMTERUVhYiICISGhuLp06do164dli1bBjc3N7X9JiYmolWrVjh16lSWMUiShFu3bmXaHxHpjlPjEFFOwETRxEJCQjBmzBgULlwYs2bNQs+ePWFnZ6e2fkpKCrZt24bAwEDExcVh4cKFGDx4sEKdt2/fonnz5oiIiMhy/zY2NoiJiUGZMmX0fi1EpB4TRSLKCazMHUBuEhwcjCFDhsDX1xeRkZHw8/PLNEkEADs7O/j5+eHKlSvw9fXFkCFDEBwcDOD9uMYaNWrA0dExyyQxT548uHfvHlJTU5kkEhERkUY4RtFEQkJCEBQUhBkzZiAoKEjr9k5OTli9ejVKly6NoKAg3Lx5E+vXr8+ynaOjI65fv46SJUvqEjYRGYiDg4O5QyAi0hovPZtAbGwsfHx84Ovri9WrV+vVlxACnTp1wt9//51pPWdnZ0RFRaF48eJ67Y+ItPfq1Su4uLgolHXs2BF//fWXmSIiItINLz2bgL+/PwoXLowFCxbo3ZckSahevbra7YULF8ajR4/w8uVLJolEZnL06FGlMk6NQ0SWiImikUVFRSEsLAyzZs2Ck5OTQfrs1KkTrKwU/+uKFSuGJ0+e4NmzZyhWrJhB9kNEulE1NQ4TRSKyREwUjWzFihVwdXVFz5491dY5evQoOnfujMKFC8Pe3h4VKlRAUFAQEhMTVdavV68e9u7dCwcHB9SpUwfPnj3Do0eP4OrqqlFM6enpuHjxIpYsWYKvvvoKS5YsQWpqqk6vj4iUqUoUq1SpYoZIiIj0wzGKRubl5YXmzZtj2bJlKrcvX74cI0eOhLOzMzp37gxXV1ecO3cOR44cQYMGDXD48GG1d0b7+/vjyJEjiIqKyjSGd+/eISIiAseOHcPx48dx4sQJxMfHK9QZP3485s2bp9uLJCIFnBqHiHIK3vVsRG/evEF0dDQmTJigcntUVBRGjRqFKlWq4ODBgyhUqJB825w5cxAYGIjFixdj7NixKtvXqlULK1asQEJCgsJyfy9fvsTJkyfliWFERARSUlIyjTU8PFyHV0hEREQ5GRNFI7p16xaEEGqX31u5ciXS0tKwePFihSQRACZMmIAFCxZg8+bNahNFb29vCCFw/PhxvHz5Up4YXrlyReuzF7zxhYiIiD7GRNGIkpOTAQB58+ZVuf306dMAgH379uHgwYNK221tbXH9+nWl8levXmHLli3YvXs3AKB9+/Z6x9q4cWO9+yAi1YoWLWruEIiIdMJE0Yjs7e0BQO1NKS9evAAA+Uormrhz5w5q1aqFuLg4/QPMgIkikWE8ePBAqax58+ZmiISISH+869mI3N3dIUmS2ptN8ufPDwCIj4+HEELtI6NffvnF4Emivb09atWqZdA+iXKrw4cPK5VxahwislRMFI3I0dERHh4eatdhrlu3LoD/XYLWhDHGEtauXVt+9pOI9KMqUeQZRSKyVEwUjax169YIDQ1Vedexv78/bGxs8PXXX+PevXtK21+9eoULFy4olA0ePBht2rQxaIz169c3aH9EuZmqRLF8+fJmiISISH+cR9HIoqKi4O3tjU2bNsHPz09p++rVqzFixAjY2tqiQ4cOKF++PN68eYPbt2/jn3/+wYABA7BixQqFNqmpqejQoYPBp7SxtbVFQEAARo0ahcKFCxu0b6LcgnMoElFOwkTRBNq3b49r164hMjJS5TJ+ERERWLBgAY4ePYpnz56hQIECKF26NNq0aYP+/fvD09NToX58fDx8fHyQL18+3LhxA+np6UaL/YsvvsCECRPg7e1ttH0Q5SRMFIkoJ2GiaAKxsbHw8fGBr68vVq9erXX7M2fO4MCBA6hduzZat26NYcOGYfPmzYiMjERMTAx69+6NV69eGT5wFZo0aYKAgAC0a9dO5R9EotyOiSIR5SRMFE0kJCQEQ4YMwYwZMxAUFKRxu3/++QctWrSATCYDAJQoUQIPHz5ESEgIBg0aBACIjo5G586dcfPmTaPEnpmyZcsiICAA/fv3R548eUy+f6LsRAgBKyvFod/ly5dHTEyMmSIiItIPb2YxkcGDB2PmzJn47rvvMGTIELx580ajdn/++ac8SQSAhw8fAgC2bNkiv5vaw8MDp0+fRsuWLbWOS99pce7cuYPhw4fDwcEBkiRBkiQEBgbi8ePHevVLZIlUfVnj1DhEZMmYKJrQ5MmTsXr1amzevBmVK1fGb7/9luUazDY2qudEDw8PR506ddCzZ09cv34dBQsWxN69ezFixAitYtq+fbt8vsbExEQsW7YMpUuX1qqPj82ZMwfFixeXJ45+fn64dOmSXn0SWYJDhw4plTFRJCJLxkvPZhAbGwt/f3+EhYXB1dUVPXr0QK1ateDt7Q0HBwckJSXh6tWrOHfuHDZu3Jjl2UcrKysMHDgQU6dOxSeffIKlS5di9OjRWd7kUqZMGdy5c0ftdiEEwsLCMHv2bBw7dkyXl6pSgwYNEBAQgI4dOypdpiOyZL1798Yff/yhUPb48WMu4UdEFouJohlFRUVhxYoVCA8Px/Xr1xUGvEuSBE9PT1SuXFnpD4869vb2+OqrrxAYGIjz58+jV69eeP36tdr6ffv2xcaNG7WK+cqVK5g3bx42bNigVbvMlChRAgEBARg0aJDadbGJLEHhwoWVVk7iIZaILBkTxWwiISEBMTExSE5Ohr29Pdzd3eHo6IhXr17BxcVFq77y58+P8ePHo3379vjss8/UDqRfvnw5hg8frlfcT58+xeLFizFnzhykpaXp1VdG48aNwzfffIMSJUoYrE8iY+Mdz0SU0zBRtADFixfX6eYQV1dXfPvttwgLC8ORI0eUtkdGRqJy5coGiPB/kpOTsWHDBsyZMwe3bt0yWL89e/ZEQEAAatasqXsn0dHA/v3Av/++f1y7BqSnAzNmAFrciU6kDhNFIsppOEDMAnw84bamnj59ioCAANy9e1dpQH3FihVRqVIlQ4SnwN7eHoMHD0ZMTAyEEJDJZDhw4IBOd2RntG3bNtSqVUt+g0zt2rWxfft2hTvCs7R8OTBqFLB+PXDlyvskkYiIiNRiomgBdE0UP4iNjcWhQ4dQsmRJVKhQAY0aNcKWLVtMciOJJElo1aoVwsPD5XdXX7t2DV9++aVe/Z47dw49evSAtbU1JElC0aJF8dNPPyEhIUF9o8qVgXHjgE2b3p9N7NdPrxiIMlJ181j16tXNEAkRkeEwUbQA+iaKHzx48AAJCQk4cuSIWf+AeXp6Ys2aNfLE8fnz55g+fTocHBx07vPp06f49ttv4eTkJD/rOHr0aNy7d+9/lQYPBn74AfDzAzw9Ad5xTQZ04cIFpbLmzZubIRIiIsPhX0oLYKhEEQAePXqE58+fG6w/QyhUqBCmTJmCxMRECCGQnJyMdevW6f26f/75Z5QpU0aeOHbt2hVnzpwxUNREijiHIhHlREwULYAhE8VmzZrB1dXVYP0Zg52dHfr3749r167JxzkePnwYbdu21avfnTt3ol69evLEcdeuXQCg3ThHIjUOHz6sVNa4cWMzREJEZDhMFC3AJ598otdl2Q969+6NHTt2qLwzMzuTJAnNmjVDWFiY/HL1zZs3MWzYML36ffHyJQBgytSpkCQJLi4umDt3LuLj4w0RNuUyqhLF/PnzmyESIiLDYaJoAaysrODh4aFze0dHR6xfvx5btmyBs7Oz4QIzI3d3d6xYsUKeOL58+RKzZs3S6w/zq1evEBAQgAIFCsjPOo4cORKxsbEGjJxyquTkZHOHQERkcEwULYSul5/r1auHixcv4osvvrC4M4nacHZ2RmBgIF6/fg0hBFJTU7Fp0yb4+Pjo1e+yZctQrlw5eeLYsWNHHDt2jHPjERFRrsBE0ULokii2adMGR48eRfny5Y0QUfZmY2MDPz8/XL58WT7O8fjx4+jcubNe/f79999o0qQJrKysIEkSKleujI0bNyI1NdVAkRMREWUfTBQthJeXl9Zt9u/fb9Bl9SyZJElo2LAhdu3aJb9c3bNHD737vXr1Kvr16wc7OztIkgQnJycEBwfj5f+Pf6Tc4d27d0plTZo0MUMkRESGxUTRQuh66Tlv3rwGjiTncHR0BADMnDEDQgi8fv0aP/zwAwoVKqRznwkJCQgKCkLBggXll6uHDBmCmzdvGipsyoZOnTqlVMY5FIkoJ2CiaCEqVKiQ6RhDJycnDBkyROW2WbNmGSusHCV//vwYN24cnj9/DiEE0tLS8Mcff6BGjRp69RsSEoKKFSvKE8c2bdrg8OHDHOeYg6i645lzKBJRTsBE0UI4ODigbNmyKrc1aNAAly5dwqpVq1C3bl2l7ZMnT8adO3eMG2AOZG1tjZ49e+Lff/+VX64+c+YMunXrple/Bw4cQIsWLeTjHD08PLB27VqkpKQYKHIyhrt37+LMmTN48OCB0tybqibbVvW7SERkaSTB0xoW47PPPsPWrVvlz62srDBlyhRMnjwZNjY2AAAhhNo1nGUyWY6+8zlL588D/v7/e37rFvD8OVCqFFCy5P/Kd+wAihfXqMv79+/jp59+wk8//WSwMG1sbBAQEIBRo0ahSJEiBuuXdPfjjz9i3Lhx8uf29vYoU6YM3Nzc4ObmhhUrVii14aGViHICJooW5MqVK2jXrh0ePHgADw8P/PLLL2jQoIFSvZs3b6JixYpK5S1btkR4eLgpQs2ejhwBNBk3FhsLqDl7m5W3b99izZo1mD17Nh4/fqxTH6r4+vpiwoQJqFatmsH6JM2kpaWhQIECSExM1KpdlSpV5Imkm5sbypUrBzc3N3h5ean9MkdElN0wUbQwycnJePjwIcqWLZvp2cGgoCAEBwcrle/fvx+tW7c2ZoiUgUwmw65duzBnzhyDrjNdp04dTJw4EV27dmXSYWRCCBQoUABv3rwxSH9ubm4ICwtT+WWOiCi7YaKYg6lLJBMTEw2yJCDp5vz585g3b57CMAJ9FSpUCBMnTsSwYcO4bJwR+Pn5YfPmzQbrr3fv3gb9/yciMhaeisjB1J0B4ZQ55lWjRg1s2bJFfoPMw4cPMWHCBL36jIuLw4QJExSWHxw+fDhiYmIMFHXu5uvra9D+OEE7EVkKJoo5mKOjI3bu3Kly2+zZs00cDalTvHhxzJ07V544JiUlYeXKlXBzc9Or35UrV8qnVZIkCa1bt8bBgwd5k4UO2rZtCxcXF4P19/XXXxusLyIiY+Kl51ygdu3aOHfunFL5nTt3UKZMGTNERNoQQuDQoUOYO3cuDhw4YLB+y5Urh4kTJ+KLL75Anjx5DNZvTjVkyBCEhITo3Y+/vz+WLl1qgIiIiIyPiWIuwClzcp6YmBjMnz8fK1euNGi/EyZMwJgxY1Bcw+mBcpPDhw/rPYm2m5sbLl++LF8ViIgou+Ol51xAkiRER0er3Na2bVsTR0OG4O7ujhUrVsgvVxti+UEAmDdvHkqUKCG/XN2zZ09EREQYKGrL1qRJE70T6LVr1zJJJCKLwkQxl6hYsSICAwOVyg8cOJC751bMIVQtPxgaGoo6dero1e+HPj4kjtWrV8eWLVuQlpZmoMgth7W1Nfr06aNz+1GjRqFp06YGjIiIyPh46TmXUXeZOSkpiePUcriLFy9i3rx5Bp3mxcnJCRMnToS/v79Bb/bIriIiInRKvt3d3XHx4kXky5fPCFERERkPE8VcJiEhAU5OTiq38aOQuzx9+hSLFy/G3LlzDTpdy5dffonx48fD09PTYH1mF0IIVKhQAbdu3dK4jSRJOHbsGBo2bGjEyIiIjIOXnnMZR0dH/Pnnnyq3zZ0717TBkFm5urpixowZSElJgRACycnJWLt2LTw8PPTq95dffoGXl5f8cnWzZs2wd+/eHPFFRJIkredU/Oabb5gkEpHF4hnFXKpmzZo4f/68Uvndu3dRunRpM0RE2Y0QAseOHcO8efOwZ88eg/VbqlQpTJw4EV9++aVpJ3+Pjgb27wf+/ff949o1ID0dmDEDCArSuJuoqCh4e3trVNfDwwMXLlzgSkhEZLGYKOZSnDKHdHHnzh0sWLAAixcvNmi/Y8aMwbfffotPPvnEoP1+tBNg0SLlci0TRQCoWrUqLl++nGkdKysrnDhxAvXq1dOqbyKi7ISXnnMpSZJw/fp1ldvatWtn4mjIUpQtWxY///yzfFqeN2/eYOHChXpPG7Nw4UKULl1afrn6008/xYkTJwx7ubpyZWDcOGDTpvdnE/v107krTS4/jx8/nkkiEVk8Joq5mIeHByZOnKhUvn//fhw8eNAMEZGlcXR0xOjRo/Hw4UMIIZCeno7du3frPSZv9+7daNSoEaysrCBJEry9vbFhwwb9broZPBj44QfAzw/w9ATUnFHPTFRUFEaNGoXVq1dnWq98+fKYNm2ajoESEWUfTBRzuTlz5qgsb9WqFd69e2fiaMjSWVlZoVOnTjh+/Lj8rOOVK1fQv39/vfqNiorCF198ATs7O0iShDx58mDq1Kl4/vy5gSLPXGxsLNq3bw9vb29s3boVbdu2Rfny5dXWv3XrFrp164bY2FiTxEdEZCxMFAnx8fEqyzkAnwzB29sb69atkyeOz58/x/Tp0/W6kSU5ORnff/89ihQpIr9c3a9fP0RGRhow8vdCQkLg4+ODa9euYdOmTbh//z6WLVuG0aNHq6wfGBiITZs2ISoqCj4+PgZZH5qIyFyYKBKcnJywfft2ldvmzZtn4mgopytUqBCmTJmCt2/fQgiBlJQUbNy4ET4+Pnr1u3HjRlSpUkWeODZo0AA7d+6ETCbTuc/g4GAMGTIEvr6+iIyMhJ+fH06ePAlJknD37l2lG8KqVKmCadOmwc/PD1euXIGvry+GDBmC4OBgvV4bEZG5MFEkAEC3bt1QrVo1pfKJEyfi/v37pg+Icg1bW1v07dsXly9flp91PHXqFLp27apXvx/6sLa2hiRJKFq0KBYsWIA3b95o1D4kJARBQUGYMWMGVq9erTRRvaOjo8IldQcHB6xbtw52dnYA3n8BW716Nb7//nsEBQVhzZo1er0eIiJz4PQ4JMcpcyi7+u+//7Bw4UL8+OOPBu3XH8C4b7+F20f9xsbGwsfHB76+vko3rhw5cgTNmzfH1KlTMX78eCxduhT//fcfBgwYgBo1aijtQwiBoUOHYvPmzYiMjISbm5tBXwMRkTHxjCLJSZKEa9euqdzWoUMHE0dD9D+lSpXC/Pnz5WccExMTsWzZMr0nh18GoNyCBfLL1e3atcPhw4cxYsQIFC5cGAsWLMi0fb58+TBhwgT8/PPPKpNE4P3v1Y8//ohChQrB399fr3iJiEyNiSIp8PT0xPjx45XKw8LCcOjQITNERKTMwcEBI0aMwN27dyGEgEwmw759+9C8eXO9+t23bx9atGiBffv2oUaNGlnecHP8+HE0a9YMTk5OcHZ2Ro8ePRATE6NUL3/+/Jg9ezbCwsLUfhkjIsqOeOmZVFJ3mTkpKQl58uQxcTRE2ouOjsb8+fP1uut45cqVGDp0qELZh0vPbdu2xeHDh9GuXTt4e3vj6tWr2L17NwoXLozTp0+jXLlyCu2Sk5NRunRp9OnTBz///LPOMRERmRLPKJJKr1+/Vllu0rV5ifTg4eGB1atXyy9Xv3z5ErNnz4azs7PGfVy9elXttn379uHnn3/Gzp07MWvWLOzcuRPLly/Hs2fPVE6dY29vjx49eiA8PFyXl0NEZBZMFEml/PnzIzQ0VKlcCIH58+ebISIi/Tg7OyMgIAAvX76EEAJp/frhdwA1S5RQWd/a2hp9+vRR21/FihUxZMgQhbIhQ4agQoUK2LNnD549e6bUplatWrh+/ToSEhL0ei1ERKbCRJHU6t69O6pUqaJUPn78eE6ZQ5bn/HmgXj35w3rvXvQCcM7KCqJuXYi6dXHM3R0OAL755hucP38eDRo0UNtdw4YNlWYJsLKyQsOGDSGEwKVLl5TaeHt7QwihchwjEVF2ZGPuACh7u3jxosopc0qXLs0pc8iyxMcDZ84ol//33/sHgEYAXAEMHDgwywnAixYtmml5xuEbjx8/Rr58+eSrHSUnJ2sfPxGRGfCMImVKkiRERUWp3NapUycTR0Okh2bNACEyfVy8cAF3ASQmJmbZ3ZMnTzItL1CgAGQyGfr06YPixYsjf/78qFq1aqZtiYiyGyaKlCUvLy+MGzdOqfzvv//G4cOHzRARkXG4u7tn+uUooxMnTigtDyiTyeRL/FWtWhXh4eH4/fffldp26dIFkiShUaNGvAxNRNkaE0XSyA8//KCyvEWLFryMRjmGo6MjPDw8EBERkWXdGzduKK3asnr1aty4cQMdO3ZEkSJFsuzjxIkTqFChAiRJQsOGDXHz5k2dYyciMgYmiqQxdVPm5MuXz8SREBlP69atERoaipSUlEzrtW3bFqNGjUKXLl0wadIkdOnSRb6iy6JFiwAArVq1Qs+ePTXa78mTJ1GxYkVIkoQGDRrgxo0ber8WIiJ9MVEkjeXPnx/btm1TKk9PT89yqTMiSzF8+HA8ffpU5Wc9o3r16uHgwYN4/fo1fv75Zxw5cgRdu3bFqVOn5JNtW1lZ4ffff8eaNWu0iuHUqVPw8PCAJEmoX78+k0YiMhuuzEJa8/HxwZUrV5TK79+/j1KlSpkhIiLDat++Pa5du4bIyEg4OTnp3V98fDx8fHzg5eWF3r17Y9CgQTr1U7duXaxfvx4eHh56x0REpAkmiqQ1mUwGa2trldv4caKcIDY2Fj4+PvD19VUah6gtIQSGDh2KzZs3IzIyEm5ubvLydevW4csvv9Sp3zp16mD9+vXw9PTUKz4ioszw0jNpzcrKSu3SZp07dzZxNESG5+bmhoULFyIkJAQzZ87UuR8hBGbOnImQkBAsWrRIniQC76eeGjhwIIQQkMlkWLt2rVZ9nz17Fl5eXpAkCXXq1MH169d1jpOISB0miqSTSpUq4ZtvvlEq/+uvv/DPP/+YISIiwxo8eDBmzpyJ7777DkOGDMGbN2+0ah8fH4+hQ4diypQpCA4OzvRysyRJGDBggDxpXLdunVb7ioiIkCeNtWvXxrVr17RqT0SkDi89k17Urczy7t072NvbmzgaIsMLCQnBmDFjUKhQIcyePRs9e/aEnZ2d2vrJyckIDQ1FYGAg4uLisGjRIp3HJAoh8Ouvv2LAgAE6ta9ZsyY2bNgALy8vndoTETFRJL28fv0azs7OSuW2trZZTi9CZCliY2Ph7++PsLAwuLq6okePHqhVqxa8vb3h4OCApKQkXL16FefOnUNoaCiePn2Kdu3aYdmyZQqXm/UhhMDGjRvxxRdf6NS+Ro0a2LBhAypVqmSQeIgod2CiSHr7448/0Lt3b6XyBQsWqLw8TWSpoqKisGLFCoSHh+P69esKN29JkgRPT0+0atUKI0aMMOpZPH2TxurVq2PDhg3w9vY2cGRElNMwUSSD8Pb2Vrns2X///YeSJUuaISIi40pISEBMTAySk5Nhb28Pd3d3ODo6mjwOIQR+++03fP755zq1r1atGjZs2IDKlSsbODIiygmYKJJBcMocIvPTN2msWrUqNm7cyKSRiOR41zMZhJWVlcpJuAGgS5cuJo6GKHeSJAl9+/aV3z3922+/adX+0qVL8PHxgSRJqFq1KiIjI40UKRFZCiaKZDDe3t4YM2aMUvmuXbtw9OhR0wdElItJkgRfX1+dk8bLly+jSpUqTBqJcjleeiaDUzdlTnJycqbTihCR8QkhsHXrVvj6+urUvnLlyti4cSOqVq1q4MiIKDviGUUyuFevXqksz58/v2kDISIlkiThs88+k59p3Lx5s1btr1y5gmrVqkGSJPj4+ODSpUtGipSIsgMmimRwBQoUwNatW5XKk5OTsWjRIjNERESqfJw0btmyRav2GZNGb29vXLx40TiBEpHZ8NIzGY2Xl5fK9Wc5ZQ5R9iaEwB9//IE+ffro1L5SpUrYtGkTqlWrZtjAiMjkmCiS0XDKHCLLJ4TAtm3bVE6qrwlPT09s2rQJNWrUMHBkRGQKvPRMRmNlZaX2Tslu3bqZOBoi0oUkSejVq5f88vQff/wBKyvN/3Rcv34dNWvWhCRJ8PLywvnz540YLREZGhNFMqrKlStj1KhRSuV//vknjh07ZoaIiEhXkiShZ8+eSE9Pl59p1DVp9PDwwL///mvEaInIEHjpmUyCU+YQ5Wzbt29H7969kZ6ernXbihUr4rfffkPNmjWNEBkR6YNnFMmwoqOBxYuBAQMAHx/AxgaQJCROnqyyurOzs0nDIyLj6N69O9LS0iCEQGhoKGxsbDRue+PGDdSqVQuSJKFChQo4d+6cESMlIm0wUSTDWr4cGDUKWL8euHIF+P+zCw558qiceiMpKQk///yzqaMkIiPq3r07UlNTIYTAjh07YGtrq3HbmJgY1K5dW540RkREGDFSIsoKE0UyrMqVgXHjgE2bgGvXgH795Jv69OmDihUrKjUZPXo0Hj58aMooichEunbtipSUFHnSqM1Qk5iYGNSpUweSJMHd3R1nz541YqREpArHKJJxDRjw/uzijBlAUBCnzCEiAMDOnTvRu3dvpKSkaN22XLly2Lx5M+rUqWOEyIgoI55RJJOysrLC5cuXVW7r0aOHiaMhInPp0qULkpOTIYTAzp07kSdPHo3b3r59G3Xr1oUkSShXrhzOnDmjuqKaMdOYOdMwL4IoF2CiSCbn4+ODr776Sql8+/btOH78uBkiIiJz+vTTT5GUlAQhBHbt2qVV0hgbG4t69epBkiS4ubnh9OnT/9uoZsw0EWmOiSKZxeLFi1WWN27cWKdLUUSUM3Tu3FmeNO7evRt58+bVuO2dO3dQv359+ZnG2Hz51I6ZJiLNMFEks3n58qXKchcXFxNHQkTZUadOnfD27VsIIfDXX39plTTGxsai3KxZkObPh/uUKYh48wbQYnJwInqPvzVkNs7Ozvjtt9+UyhMTE7FkyRIzRERE2VXHjh3lSeOePXuQL18+jdveunULderUwbr16wEADx48MFaYRDkOE0UyK19fX7i7uyuVf/3113j06JEZIiKi7K5Dhw5ISEiQJ42Ojo5atV++YgUkSYKnpycuXLhgpCiJcgYmimR20dHRKstLlChh4kiIyNJ06NABb9680elMY3R0NGrUqAFJklCpUiVcvHjReIESWSgmimR2VlZWuHTpksptvXr1MnE0RGSpMp5p3L17NxwcHDRue+3aNVSvXh2SJKFy5cpqj0lEuQ0TRcoWqlSpgpEjRyqVb9u2DSdOnDBDRERkyTp16oTExET5PI329vYat7169SqqVasGSZJQpUoVREZGGjFSouyNiSJlG+puYGnUqBFSU1NNHA0R5RSffvop3r17hwH9+wMArLW4+zkyMhJVqlSBJEmoVq0arly5YqwwibIlJopkWOfPA/Xq/e+xZ8/78pUrFcvV3Kjy4sULleUFCxY0VsRElMtMnz4dQghs375d7ZKiqly6dAk+Pj6QJAk1atRAVFSUEaMkyh6YKJJhxccDZ8787/H8+fvy//5TLE9OVtncxcUFGzduVCpPSEjA0qVLjRk5EeUy3bp1Q1paGoQQ2LZtGyRJ0rjthQsX4O3tDUmSUKtWLVy7ds2IkRKZDxNFMqxmzQAhsn6ULau2i759+6JcuXJK5V999RUeP35svNiJKNfq0aMHZDIZZDIZfv/9d63a/vvvv6hUqRIkSUKdOnVw/fp1I0VJZHpMFClbunnzpsry4sWLmzgSIspNJElCr169IISATCbDli1btGofEREBLy8vSJKEevXq4caNG0aKlMg0JCGEMHcQRKpcunQJ1apVUyrv1auX1t/4iSgXOn8e8Pf/3/Nbt94PhylVCihZ8n/lO3YAWXwJFUJg69at8PX11SmU+vXrY/369ahQoYJO7YnMhYkiZWsjRozAihUrlMpPnDiBBg0amCEiIrIYR44AzZtnXS82NtPhMB8TQmDz5s3o27evTmE1bNgQ69atU7kqFVF2w0SRsj11A8xTUlJga2tr4miIiP5HCIFNmzahX79+OrVv3Lgx1q5di/Llyxs4MiLD4BhFyvbi4uJUlhcuXNjEkRARKZIkCZ9//rl8TOP69eu1an/s2DG4u7tDkiQ0bdoUt2/fNlKkRLphokjZXsGCBbFhwwal8vj4eCxbtswMERERKZMkCV988YU8aVy7dq1W7Y8ePYry5ctDkiQ0b94cd+7cMU6gRFrgpWeyGG5ubioPnI8ePUKxYsVMHxARkQaEEFi7di0GDRqkU/sWLVrgl19+QZkyZQwcGVHWmCiSxUhPT4eNjY3KbfwYE5ElEEJgzZo1GDJkiE7tW7VqhTVr1qB06dIGjoxINV56JothbW2NCxcuqNz22WefmTgaIiLtSZKEwYMHyy9Pr1y5Uqv24eHhKFOmDCRJQtu2bXH//n0jRUr0HhNFsijVqlXDsGHDlMq3bt2KU6dOmSEiIiLdSJKEoUOHQgiB9PR0LF++XKv2+/fvR+nSpSFJEtq3b4///vvPSJFSbsZLz2SROGUOEeVUMpkMK1aswMiRI3Vq36FDB6xatQolM04qbkCpqanYvn07UlNT0atXL9jb2xtlP5Q9MFEki/TixQsUKlRIqbxAgQJ49eqV6QMiIjICmUyGZcuW4euvv9apfceOHbFq1SqUKFHCIPEIIdC9e3f8+eefAIDKlSsjPDwcRYsWNUj/lP3w0jNZpIIFC6qcr+z169daX74hIsqurKys8NVXX8kvTy9atEir9nv27EHJkiUhSRI+/fRTPHr0SK94Ll++LE8SAeDKlSto0aIFnj59qle/lH0xUSSL9cUXX6i888/f3x+PHz82Q0RERMZjZWWFUaNGQQiBtLQ0/PTTT1q13717N0qUKAFJktC1a1edjpO///67UllUVBRatGiBZ8+ead0fZX+89EwWjVPmEFFul56ejp9//hnffvutTu27deuG5cuXZ3n5WAiBihUrIiYmRl5WEUAbADUBNLS3h3taGqT0dGDGDCAoSKd4KHvhGUWyaJlNmdOrVy8TR0NEZHrW1tb45ptv5Gca58+fr1X7HTt2oFixYpAkCT179lR7GfnixYsKSSIAjACwGMAAABWSk98niZSjMFEki1etWjUMHz5cqXzbtm04fvy4GSIiIjIPa2trjB07FkIIpKamYt68eVq1Dw0NRdGiRSFJEnr37q1wOfmPP/5Qqn8FwA8A/AB4Avj1/8vfvn2rU/wJCQm4ePEizpw5g4sXLyIhIUGnfshweOmZcgx1U+YkJyfDzs7OxNEQEWUfaWlp+PHHHxEQEKBT+z59+uDYsWN4+PBhpvXW4v3ZxSVFi+KzK1dQuHDhLPuOiorCihUrcODAAURHRysMG5IkCR4eHmjdujWGDx+OSpUq6RQ/6Y6JIuUYL1++RMGCBZXKHRwckJiYaIaIiIiyn7S0NPzwww+YNGmSwfv+kCgGAfiralUcPHhQ5VRmABAbGwt/f3+EhYXB1dUVPXr0QO3atVGpUiXkzZsXiYmJiIqKQkREBEJDQ/H06VO0a9cOy5Ytg5ubm8FjJzUEUQ6yadMmAUDpsXDhQnOHRkSU7aSkpIiZM2eqPG7q8lgLCAGIyf//vGrVquL58+dK+129erXIly+fKFOmjNi0aZNITk7ONM7k5GSxadMmUbp0aZEvXz6xevVqY70l9BGOUaQcxc/PD+7u7krlY8aMwYMHD8wQERFR9mVra4vJkydDCIGUlBR8//33Bu3/0qVLaNWqFeLi4uRlwcHBGDJkCHx9fREZGQk/P78shwfZ2dnBz88PV65cga+vL4YMGYLg4GCDxkqqMVGkHCc6OlplealSpUwcCRGR5bC1tcV3330HIQSSk5Mxbdo0g/R78eJFtG7dGi9evEBISAiCgoIwY8YMrF69Gk5OTpm2vXPnDiRJwoABAwAATk5OWL16Nb7//nsEBQVhzZo1BomR1GOiSDmOlZUVIiMjVW7r0qWLiaMhIrI8dnZ2mDp1KoQQOs/PmNGFCxfQpEkTjB49GoMHD0aQnnMsBgUFYfDgwRg9ejRiY2P1jo/UY6JIOVLlypUxevRopfJdu3bhyJEjpg+IiMgCCSEQGhpqkL6uXr2KtLQ0vZNE4P3d0D/++CMKFSoEf39/A0RH6jBRpBxr4cKFKsubN2+O5ORk0wZDRGSBIiIicPfuXYP1l5KSAj8/P8hkMr37yp8/P2bPno2wsDBcu3bNANGRKkwUKUd79eqVyvK8efOaNhAiIgukam1nfZ08eRJHjx5VKEtPT8fcuXPh7u6OPHnywN3dHbNnz84yoezRowdcXV2xfPlyg8dJ7zFRpBytQIECKg90MplM62WuiIhyEyGEytVYDMHR0VHh+dChQxEQEACZTIaRI0eibdu2WLBggcohRBnZ29ujR48eCA8PN0qcxESRcoFevXqhcuXKSuXjx4/HvXv3zBAREVH2FxERYfBjpL29PSZPnoxatWrJy44cOYJffvkFVatWRWRkJH788UcsXboUFy9exOnTp7Pss1atWrh+/TqX+zMSJoqUK1y6dElleZkyZRSWiyIiovfUTTWWUXUApzI8Ov5/ub+1Na46OSGmSBHEFi2KYgA2bNiAuLg4zJw5U6GPX399v0L0lClTkC9fPnl5yZIlszyjCADe3t4QQiAmJkaj10XaYaJIuYKVlRWioqJUbmvfvr2JoyEiyv4aN24MW1tbldskSUKZMmXQvEYN1APkjyL/v71EejoqvXmD8s+eoeyTJ7AHULVqVYVE8IMPX+QbN26sMoasODg4AABvUjQSG3MHQGQqXl5eGD9+PH744QeF8n379iE8PBytWrUyU2RERNlP2bJlcfz4caxfvx4AUKFCBbi7u8Pd3R1ubm6wt7dX2/bu3bvYvXs3ihUrhlKlSuFu/fpITExUWff169ewsrJC4cKFlbYVLVo0yziTkpIAINN4SHdMFClXmTdvnlKiCACtW7dGYmKi/JspEREBderUQZ06dbKsFx8fjwULFmD69OlK2ypVqgQAiIqKQt26dZW2FyhQADKZDM+fP0eRIkUUtj158iTLfV+9ehWSJKlcvpX0x0vPlOvEx8erLOeUOUREmklPT8e6detQrFgxSJKEAgUKqEwSgfcJ4ieffIKIiAiV26tWrQoAOHbsmNI2VWUfO3fuHDw9PZXupCbDYKJIuY6TkxN27NihctusWbNMHA0RUfYnhMChQ4dQt25dSJIEGxsbDBw4UKMzflZWVmjSpAlCQ0ORkpKitL1fv34AgO+//x5v376Vlz948ACLFi3KtO/k5GSEhoZy6JARMVGkXKlr166oWbOmUvnkyZO5bigREYAbN26gd+/ekCQJVlZWaNmyJc6ePat1P6tXr8akSZPw9OlTbNu2TWl78+bNMXDgQFy6dAk+Pj4YO3YsvvrqK1SrVg316tXLtO/Q0FA8ffoUI0aM0Dou0owkODcI5VJCCFhZqf6uJJPJIEmSiSMiIjKfFy9eYM6cOSrHcWurZMmSmDNnDnx9fWFtbQ3g/QwT165dQ2RkJJycnBTqp6en44cffsDq1avx33//oVSpUhg8eDB69+4Nd3d39O/fH+vWrVNoEx8fDx8fH1SqVAl79+7VO2ZSjYki5Wo3btyAh4eHUnmzZs1w+PBhM0RERGQaKSkpWL16NQICAgwyWfWMGTMwZswYtWMFY2Nj4ePjA19fX6xevVqvfQkhMHToUGzevBmRkZFwc3PTqz9Sj5eeKVerWLEiJk2apFR+5MgRhIWFmSEiIiLjEELgr7/+QuXKlSFJEuzt7fHVV1/pnCQOGTIE9+/fhxACQggEBQVlekOJm5sbFi5ciJCQEKVJt7UhhMDMmTMREhKCRYsWMUk0Mp5RJALUXmZ++/Yt74YmIot1+fJlTJo0CXv27NG7r9atW2PWrFkKy+/pIjg4GEFBQRg8eDAWLFigdBk6M/Hx8Rg7dixCQkIQHBys8os+GRYTRSK8TwjVfRPmrwgRWYrHjx9jxowZWLZsmd59VahQAXPmzEG3bt0MPmY7JCQEY8aMQaFChTB79mz07NkTdnZ2aut/uLs5MDAQcXFxWLRoEQYNGmTQmEg1JopE/2/Pnj3o1KmTUvm0adMwdepUM0RERJS5xMRELFmyBAEBAXp/qbW3t8ecOXMwfPhw5MmTx0ARqhcbGwt/f3+EhYXB1dUVPXr0QK1ateDt7Q0HBwckJSXh6tWrOHfunPzu5nbt2mHZsmW83GxCTBSJMmjYsCFOnjypVH7z5k3O+k9EZieTybBt2zYEBAQYZCqv0aNHY9KkSXB1dTVAdLqJiorCihUrEB4ejuvXryskvJIkwdPTE61atcKIESPg5eVltjhzKyaKRBlwyhwiym5Onz6NwMBAHDlyRO++unTpgpkzZ6Jy5cr6B2YECQkJiImJQXJyMuzt7eHu7s4VV8yMiSLRR27duqXy7GG9evVw6tQpM0RERLnJ3bt3MXXqVKxfv17vvqpXr47Zs2ejTZs2/KJLOuH0OEQfKV++vMo1S0+fPo3du3ebISIiysni4+Mxbdo0SJIESZJQtmxZnZNEFxcXrFy5EikpKRBC4Pz582jbti2TRNIZzygSqaHuwPrmzRteCiEinaWlpWHDhg0ICAjA06dP9e4vMDAQ48ePh4uLiwGiI1LERJFIjcTEROTLl0/lNv7aEJGmhBA4fPgwAgICEBERoXd/ffv2xfTp01G+fHkDREeUOV56JlIjb968aldn4SSvRJSZ6Oho9O7dG5IkwcrKCi1bttQ5SWzYsCGOHj0qXwFl48aNTBLJZHhGkSgLLVq0ULnu8/Xr11WuE01EuU9cXBzmzJmD+fPn691XqVKlMHv2bPj6+sLa2toA0RHpjokiURY4ZQ4RfSwlJQWrVq1CQEAA3r59q3d/wcHBGDVqFMc/U7bDS89EWZAkSe3EtvqueUpElkEIgb/++guVK1eGJEmwt7fH119/rXOSOGTIENy/f19+OXnSpElMEilbYqJIpIGyZcti1qxZSuXnz5/Hjh07zBARERnbpUuX0LFjR/k4w86dO+Pq1as69dW6dWtERETIE8NVq1ahVKlSBo6YyPB46ZlIC+ouM79+/Rr58+c3cTREZEiPHj3CjBkzsHz5cr378vDwwOzZs9G1a1cOTyGLxkSRSAvv3r2Dg4ODym38VSKyLImJiViyZAkCAgL0/v21t7fHnDlzMHz4cOTJk8dAERKZHy89E2khT548CA8PV7lt3LhxJo6GiLQhk8mwdetWuLm5QZIk5MuXDxMnTtQ5SRw9ejSePHkCIQTevXuHMWPGMEmkHIdnFIl00L59e5VzLF69ehWVKlUyQ0REpMrp06cREBCAf/75R+++unXrhhkzZsDb29sAkRFZBiaKRDrIbMqc9PR0tduIyLju3LmDadOm6bxWckbVq1fH7Nmz0aZNG44zpFyLf82IdCBJEu7du6dym4+Pj4mjIcq94uPjMXXqVEiSBEmS4ObmpnOSWLBgQaxcuRIpKSkQQuD8+fNo27Ytk0TK1ZgoEunok08+UbkKQ1RUFH7//XczRESU86WlpeGXX36Bq6srJElCgQIF8P333+vc36RJk/Dy5UsIIRAXF4ehQ4fC1tbWgBETWTZeeibSk42NDdLT05XKX758CWdnZ9MHRJSDCCFw6NAhBAYG6rxWckZ9+/bF9OnTuVYykYaYKBLpKTk5We2djvz1ItJedHQ0goKCsG3bNr37atSoEWbPno1GjRoZIDKi3IeXnon0ZG9vjyNHjqjcNmrUKNMGQ2SB4uLiMH78ePk4Q09PT52TxE8++QQbN25EWloahBA4duwYk0QiPfCMIpGBdO3aFTt37lQqv3TpEqpUqWKGiIiyp5SUFKxcuRKBgYE6r5WcUXBwMEaPHo18+fIZIDoiyoiJIpEBqbs7klPmkEFERwP79wP//vv+ce0akJ4OzJgBBAWZOzq1hBD466+/EBAQgKioKL37Gzp0KL777juulUxkAjbmDoAoJ3nw4AFKliypVO7h4YGbN2+aISLKUZYvBxYtMncUGrl06RImTZqEv//+W+++2rRpg1mzZqFmzZoGiIyItMFTHEQGVKJECSxS8Yc8JiYGmzZtMkNElKNUrgyMGwds2vT+bGK/fuaOSO7BgwcYNmyYfJxhtWrVdE4SPTw8sGPHDshkMgghsG/fPiaJRGbCS89ERpAvXz4kJiYqlcfFxaFgwYJmiIhypAEDgPXrzXLpOSEhAT/99BOmTJmid1958uTBnDlzMGzYMK6VTJTN8NIzkRG8fPkS9vb2SuWFChXilDlkkdLS0vDrr79i0qRJePLkid79jRkzBpMmTUKRIkUMEB0RGQsvPRMZgZ2dHY4fP65y27Bhw0wcDZH2hBDYv38/atasCUmSYGtri0GDBumcJHbr1g1Xr16FEAJCCPz0009MEoksABNFIiNp2LAhevfurVS+atUqXLhwwQwREWXuypUr6NKlCyRJgpWVFdq2bYvz58/r1Ff16tWxb98++TjD7du3o1KlSgaOmIiMjYkikRFt3bpVZXmNGjVULvtHZEqPHj2Cv7+//AYUHx8f7Nq1S6e+ihYtijVr1iA1NRVCCJw/fx5t2rRRO2UUEVkGJopERvbo0SOV5WXLljVtIJTrvX37FrNmzZInhiVKlMDy5ct17u/7779HfHw8hBB4/PgxvvzyS9jYcOg7UU7CRJHIyIoVK4YVK1Yolf/3339Yt26d6QOiXCM9PR3r169HiRIlIEkSHB0dMXnyZJ37Gzp0KO7fvy8fZ/jdd9/BycnJgBETUXbDRJHIBIYNGwYXFxel8oEDB+L58+dmiIhyIiEEDh48iDp16kCSJNjY2GDAgAFqz2pnpWPHjrhw4YI8MVy5ciVXQyHKZXiNgMhEnjx5Ajs7O6XyIkWKcMoc0stvv/2Gvt99p3c/VatWxezZs9GuXTuOLSQiADyjSGQytra2OHPmjMptAwcONHE0ZKmePHmCr7/+GpIkYd369QCAqGvXdOqrcOHCWL16NVJSUiCEwMWLF9G+fXsmiUQkx0SRyITq1KmDzz//XKl83bp1iIiIMENElN0lJiZizpw5sLKygiRJKFasGJYsWaJzf1OnTsXr168hhMCzZ88wePBg2NraGjBiIspJuIQfkRmoO2OTmprKu0ZzufT0dGzevBmBgYH477//FLZVB7Asw/PyAIoAuA/gQYbybgAe///PgwYNwpQpU1C6dGkjRk1EORUTRSIzePbsGVxdXZXKixQpgqdPn5ohIjKnI0eOIDAwEKdPn860XlMARzTo78ru3ajcqZMhQiOiXI6XnonMoEiRIggJCVEqf/bsGVatWmWGiMiUrl+/jp49e8rnM2zevHmWSSIA/ANA+ujhU7ky/tq9G0ImA4QAhGCSSEQGwzOKRGZUvHhxPH78WKn8yZMnKs84kmV6+vQpZs2ahUWLFundl4uLC2bNmoVBgwZxbCERGR0TRSIzSktLU/vHnr+alispKQlLly5FYGAg0tLS9O4vKCgI48aNQ4ECBQwQHRGR5njpmciMbGxscO7cOZXb/Pz8TBwN6Uomk2Hz5s0oW7YsJElC3rx5MX78eJ2TxAEDBiA2NlY+0fWMGTOYJBKRWTBRJDKzmjVrYtCgQUrlmzdvxqlTp8wQEWni6NGjaNiwISRJgrW1Nfz8/HD37l2d+mrdujXOnj0rTwzXrl3LtcCJKFvgpWeibELdlDkpKSkci5YN3LhxA9999x1+//13vfvy8vLC7Nmz8emnn3JyayLK1nhGkSibULfmc+HChU0cCQHv/z/Gjh0rvzPZw8ND5yQxf/78WLp0KZKTkyGEQFRUFLp06cIkkYiyPSaKRNlEoUKFsP7/l2TLKD4+HsuWLVPRggzp3bt3WLBgAezt7SFJEooUKYIFCxbo3F9gYCBevHgBIQRev34Nf39/lWt9ExFlZ7z0TJTNlC1bVuVYt4cPH6J48eJmiChnkslk2LZtGwIDA3H79m29+/viiy8wdepUlCtXzgDRERFlD0wUibKZ9PR0tcv48ddVPydOnEBgYCCOHTumd18tWrTArFmzULduXQNERkSUPfHSM1E2Y21tjYsXL6rc1rNnT9MGY+FiYmLg5+cnH2fYqFEjnZPEihUrIjQ0FDKZDEIIHDx4kEkiEeV4TBSJsqGqVatixIgRSuWhoaEGORuWU8XFxWH8+PHyxLBChQrYvHmzTn3ly5cPP//8M969ewchBKKjo9G9e3fegEJEuQovPRNlY+qSkuTk5GxzY8SbN28wffp0nDp1Ch06dEBAQACsra1Nsu/k5GSsWLECgYGBSEpK0ru/CRMmYOLEiShYsKABoiMisnyqB0IRUbbw4sULlUlL/vz58e7dOzNEpOjhw4fo2LGj/FL5yZMnUbJkSQwYMMAo+xNCYPv27QgMDMTNmzf17q9v376YPn06ypcvb4DoiIhyHl56JsrGXFxc8NtvvymVJycnY+HChaYPKIOrV6+iXr16SuMpVcWrj9OnT6N58+aQJAlWVlbo2bOnzkli06ZNceLECfkKKBs3bmSSSESUCV56JrIAHh4euHHjhlL5f//9h5IlS5o8nsOHD6Nbt254/fq10jYHBwe8ePECefLk0anv27dvY+rUqdi4caO+YcLd3R2zZs1Cjx49YGXF78VERNpiokhkAWQymdpxf6b+Ff7tt98wYMAApKamqq1z6NAhNG/eXKP+Xr58iblz52Lu3Ll6x5YnTx7Mnj0bw4cP1zlRJSKi/+FXbCILYGVlhcjISJXbOnXqpFSWkJCAixcv4syZM7h48SISEhL0jkEIgTlz5qBv376ZJokAcPDgQbXbUlJSsGTJEjg5OUGSJBQsWFCvJHHs2LF49uwZhBBISkrCmDFjmCQSERkIzygSWZBvvvlG5djEw4cPw9XVFStWrMCBAwcQHR2tcKbxw1rFrVu3xvDhw1GpUiWt9puWloZRo0Zh+fLlGtWvV68eTp06BeB9gvnnn38iMDAQ0dHRWu1Xlc8++wzff/89KlSooHdfRESUOSaKRBYms3n8XF1d0aNHD9SuXRuVKlVC3rx5kZiYiKioKERERCA0NBRPnz5Fu3btsGzZMri5uWW5v7dv3+Kzzz7DX3/9pVWcTZo0wdGjR7Vqo0qjRo0wa9YsNG7cWO++iIhIO0wUiSzM69ev4ezsrFQeHByMcePGZTq/YkpKinx947i4OCxcuBCDBw9WW//Jkyfo1KkTzp07Z4jQNeLm5obZs2ejV69evAGFiMjMeBQmsjAFChTAH3/8oVTeu3fvLCfhtrOzg5+fH65cuQJfX18MGTIEwcHBKutGR0ejfv36Rk8SbW1tMX/+fCQmJkIIgdu3b6NPnz5MEomIsgFOuE1kgV69egXg/TJzABAUFAR3d3eN2zs5OWH16tUoXbo0goKCUKxYMQwaNEi+/cSJE/j000/x4sULg8b9wZgxYxAYGAhXV1ej9E9ERIbBS89EFiY2NhY+Pj7w9fXFqlWrkJaWBltbW536EkJg6NCh2Lx5MyIjI+Hm5oZt27bh888/R3JyssFi7tWrF77//nt4enoarE8iIjI+JopEFqZ9+/a4du0aIiMj4eTkpHd/8fHx8PHxQaVKldC6dWuMGzfOYHMzbtq0CX5+fgbpi4iITI+DgIgsSFRUFMLCwjBr1iyDJInA+3WjZ8+ejbCwMIwdO9agE3hnNp8iERFlf0wUiSzIihUr4Orqip49e2Za7+jRo+jatSuKFi0Ke3t7fPLJJ+jevTuOHz+usn6PHj1gb29v8HjDw8NNvnIMEREZDhNFIgty4MAB9OjRI9O7mxctWoRmzZrhwIEDaN26NcaOHYsWLVrg0qVL2LZtm8o29vb2qF69usHjvXfvHm7dumXwfomIyDR41zORhXjz5g2io6MxYcIEtXUuXbqEb7/9FsWLF8eJEydQtmxZ+TYhBB49eqS27YABA3D69GmUL1/eoMndwYMHtbojm4iIsg+eUSSyELdu3YIQItPl91auXAmZTIaZM2cqJInA+xVdSpQoobZttWrVAADbtm1DXFwc9u3bh5kzZ+LTTz9FsWLFdI6b4xSJiCwXzygSWYgP09XkzZtXbZ2zZ88CANq0aaN1/w4ODvL9FCxYEG3atJH3I4TAgwcPcPbsWfnj3LlzePPmTZb9/vfff1rHQkRE2QMTRSIL8eFmk8TERLV1Xr9+DUmSULx4ca37T0pKUthPRpIkoVSpUihVqhS6d+8OAJDJZIiOjpYnjhEREbh48SJSU1MV2rZr107rWIiIKHtgokhkIdzd3SFJEqKiolC3bl2VdZydneVjEUuWLKlV/1evXoUkSRqPJ7SysoKXlxe8vLzQv39/AO/PRl66dAlnz57F7du3UblyZfk2IiKyPEwUiSyEo6MjPDw8EBERgYEDB6qsU6dOHZw7dw779+9XW0edc+fOwdPTE46OjjrHaG9vjzp16qBOnTo690FERNkHb2YhsiCtW7dGaGgoUlJSVG4fPnw4rK2tERQUhLt37ypsE0Lg4cOHKtslJycjNDQUrVq1MnjMRERkuZgoElmQ4cOH4+nTp2rnQ/Tx8cHChQvx6NEjeHt74/PPP8fkyZMxaNAgVKxYEfPmzVPZLjQ0FE+fPsWIESOMGT4REVkYrvVMZGE0Wev5yJEj+PHHH3Hy5EkkJCTA1dUVdevWxbfffosGDRoo1M241vPevXtN8RKIiMhCMFEksjCxsbHw8fGBr68vVq9erVdfQggMHToUmzdvRmRkJNzc3AwUJRER5QS89ExkYdzc3LBw4UKEhIRg5syZOvcjhMDMmTMREhKCRYsWMUkkIiIlvOuZyAINHjwYT548kd+0smDBArWXoVWJj4/H2LFjERISguDgYAwaNMiI0RIRkaXipWciCxYSEoIxY8agUKFCmD17Nnr27Ak7Ozu19T/c3RwYGIi4uDgsWrSISSIREanFRJHIwsXGxsLf3x9hYWFwdXVFjx49UKtWLXh7e8PBwQFJSUm4evUqzp07J7+7uV27dli2bBkvNxMRUaaYKBLlEFFRUVixYgXCw8Nx/fp1ZPzVliQJnp6eaNWqFUaMGAEvLy8zRkpERJaCiSJRDpSQkICYmBgkJyfD3t4e7u7ueq24QkREuRMTRSIiIiJSidPjEBEREZFKTBSJiIiISCUmikRERESkEhNFIiIiIlKJiSIRERERqcREkYiIiIhUYqJIRERERCoxUSQiIiIilZgoEhEREZFKTBSJiIiISCUmikRERESkEhNFIiIiIlLp/wCgpjymwQVElQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = net.IFN(\"Random Irreducible Network\")\n", "numNode=5 # number of nodes\n", "numLink=numNode+int(3*numNode/4) # number of links\n", "print(\"Design Total Nodes:\",numNode,'\\nDesign Total Links:',numLink)\n", "\n", "# using static methods to generate matrix and test matrix\n", "C=n.rand_irreducible(numNode,numLink) # generate random irreducible matrix\n", "print(\"C=\",C,'\\n')\n", "print('Is Irreducible:',n.is_irreducible_matrix(C)) # irreducibility test\n", "\n", "listNodes=n.alphabet_list(numNode) # generate list of alphabetical node names, or\n", "# listNodes=range(1,numNode+1) # generate list of numbers for node names\n", "n.set_matrix(C,listNodes) # put the matrix into network\n", "\n", "# showing network properties\n", "print('Total Nodes:',n.total_nodes) # number of nodes\n", "print('Total Links:',n.total_links) # number of links\n", "print('List of Links:',n.get_links) # list of links\n", "print('List of Nodes:',n.nodes) # list of links\n", "print('totalFlow:',n.total_flow)\n", "print('nodesFlow',n.nodes_flow)\n", "n.show(layout=\"Fruchterman\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example of generating capacity matrix" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C= [[0 0 0 0 0 1 0 0 1]\n", " [0 0 1 1 0 0 0 0 0]\n", " [1 0 0 0 0 0 0 0 0]\n", " [0 0 1 0 0 0 0 0 0]\n", " [0 0 1 0 0 0 0 0 1]\n", " [0 0 1 0 1 0 0 0 0]\n", " [0 1 0 0 0 0 1 0 0]\n", " [0 0 0 0 0 0 1 0 0]\n", " [1 0 0 0 0 0 0 1 0]] \n", "\n" ] } ], "source": [ "# Example usage\n", "from IdealFlow import Network as net\n", "\n", "n = net.IFN(\"new example network\")\n", "k=9\n", "m=k+int(3*k/4) \n", "C=n.rand_irreducible(k,m) # k nodes, m links\n", "print(\"C=\",C,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example below would generate a capacity matrix, and convert it into adjacency matrix, stochastic matrix and ideal flow matrix and finally scaling the IFN into an integer IFN." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C= [[0 0 0 1]\n", " [0 0 1 0]\n", " [1 1 0 1]\n", " [0 1 1 0]] \n", "\n", "A= [[0 0 0 1]\n", " [0 0 1 0]\n", " [1 1 0 1]\n", " [0 1 1 0]] \n", "\n", "S= [[0. 0. 0. 1. ]\n", " [0. 0. 1. 0. ]\n", " [0.33333333 0.33333333 0. 0.33333333]\n", " [0. 0.5 0.5 0. ]] \n", "\n", "F= [[0. 0. 0. 0.125]\n", " [0. 0. 0.25 0. ]\n", " [0.125 0.125 0. 0.125]\n", " [0. 0.125 0.125 0. ]] \n", "\n", "scaling: 8 \n", "\n" ] }, { "data": { "text/plain": [ "array([[0., 0., 0., 1.],\n", " [0., 0., 2., 0.],\n", " [1., 1., 0., 1.],\n", " [0., 1., 1., 0.]])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# another shorter way to access IFN\n", "import IdealFlow.Network as net\n", "n = net.IFN(\"random example network\") \n", "k=4\n", "m=k+int(3*k/4) \n", "C=n.rand_irreducible(k,m) # k nodes, m links\n", "print(\"C=\",C,'\\n')\n", "A=n.capacity_to_adjacency(C)\n", "print(\"A=\",A,'\\n')\n", "S=n.capacity_to_stochastic(C)\n", "print(\"S=\",S,'\\n')\n", "F=n.capacity_to_ideal_flow(C)\n", "print(\"F=\",F,'\\n')\n", "scaling=n.global_scaling(F,'int')\n", "print('scaling:',scaling,'\\n')\n", "F1=n.equivalent_ifn(F, scaling) \n", "F1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example below, we manually created the netwok by adding links. \n", "Then we get the capacity matrix and list nodes.\n", "We convert back the capacity matrix ino stochastic matrix.\n", "We convert stochastic matrix into markov node flows $\\pi$.\n", "Then we compute ideal flow matrix from the stochastic matrix and node flow vector.\n", "After that, we update the internal probability values before we show it.\n", "Then we defne a node sequence as a trajectory and get its path entropy.\n", "Based on the path entropy, we can find the match of ideal flow network name id.\n", "The last features is useful when you have many IFNs and would like to select which IFN match with the trajectory." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n.name: Test Network1\n", "adjacency list: {'a': {'b': 5}, 'b': {'c': 1, 'd': 6}, 'c': {'e': 1}, 'd': {'e': 6}, 'e': {'a': 5, 'b': 2}}\n", "is idealflow? True\n", "C [[0, 5, 0, 0, 0], [0, 0, 1, 6, 0], [0, 0, 0, 0, 1], [0, 0, 0, 0, 6], [5, 2, 0, 0, 0]]\n", "listNodes ['a', 'b', 'c', 'd', 'e']\n", "pi: [[0.19230769]\n", " [0.26923077]\n", " [0.03846154]\n", " [0.23076923]\n", " [0.26923077]]\n", "F: [[0. 0.19230769 0. 0. 0. ]\n", " [0. 0. 0.03846154 0.23076923 0. ]\n", " [0. 0. 0. 0. 0.03846154]\n", " [0. 0. 0. 0. 0.23076923]\n", " [0.19230769 0.07692308 0. 0. 0. ]]\n", "is idealflow? True\n", "{}\n", "{'a': {'b': np.float64(0.19230769230769218)}, 'b': {'c': np.float64(0.03846153846153843), 'd': np.float64(0.23076923076923062)}, 'c': {'e': np.float64(0.03846153846153836)}, 'd': {'e': np.float64(0.23076923076923095)}, 'e': {'a': np.float64(0.19230769230769254), 'b': np.float64(0.07692307692307701)}}\n", "pathEntropy1 0.4727965657843897\n", "('Test Network1', np.float64(1.0)) \n", "\n", "net {'a': {'b': np.float64(0.1923076923076921)}, 'b': {'c': np.float64(0.038461538461538415), 'd': np.float64(0.2307692307692305)}, 'c': {'e': np.float64(0.038461538461538346)}, 'd': {'e': np.float64(0.23076923076923084)}, 'e': {'a': np.float64(0.19230769230769246), 'b': np.float64(0.07692307692307698)}} \n", "\n", "node values {'a': np.float64(0.1923076923076921), 'b': np.float64(0.26923076923076894), 'c': np.float64(0.038461538461538346), 'd': np.float64(0.23076923076923084), 'e': np.float64(0.26923076923076944)}\n", "max link flow= 0.23076923076923084\n" ] } ], "source": [ "import IdealFlow.Network as net\n", "\n", "n = net.IFN(\"Test Network1\")\n", "print('n.name: ',n.name)\n", "n.add_link(\"a\",\"b\",5)\n", "n.add_link(\"b\",\"c\",1)\n", "n.add_link(\"b\",\"d\",6)\n", "n.add_link(\"c\",\"e\",1)\n", "n.add_link(\"e\",\"a\",5)\n", "n.add_link(\"e\",\"b\",2)\n", "n.add_link(\"d\",\"e\",6)\n", "print('adjacency list:',n)\n", "print('is idealflow?',n.is_ideal_flow)\n", "C,listNodes=n.get_matrix()\n", "print('C',C)\n", "print('listNodes',listNodes)\n", "S=n.capacity_to_stochastic(C)\n", "pi=n.markov(S)\n", "print('pi:',pi)\n", "F=n.ideal_flow(S, pi)\n", "print('F:',F)\n", "n.set_matrix(F,listNodes)\n", "print('is idealflow?',n.is_ideal_flow)\n", "print(n.network_prob)\n", "n.network_probability # need to update network probability before output it\n", "print(n.network_prob)\n", "nodeSequence=[\"b\",\"d\",\"e\",\"a\",\"b\"]\n", "print(\"pathEntropy1\",n.get_path_entropy(nodeSequence))\n", "print(n.match(nodeSequence,{\"abgh\":n}),\"\\n\")\n", "print(\"net\",n,\"\\n\")\n", "print(\"node values\", n.nodes_flow)\n", "print('max link flow=',n.max_flow)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the network below, the initial network is an ideal flow, which is premagic and ireducible.\n", "\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "is_connected? True\n", "is_strongly_connected? True\n", "is_premagic? True\n", "is idealflow? True\n", "Network Probability: {'a': {'b': 0.19230769230769232}, 'b': {'c': 0.038461538461538464, 'd': 0.23076923076923078}, 'c': {'e': 0.038461538461538464}, 'd': {'e': 0.23076923076923078}, 'e': {'a': 0.19230769230769232, 'b': 0.07692307692307693}}\n" ] } ], "source": [ "# set up initial network\n", "n = net.IFN(\"Initial Network\")\n", "n.add_link(\"a\",\"b\",5)\n", "n.add_link(\"b\",\"c\",1)\n", "n.add_link(\"b\",\"d\",6)\n", "n.add_link(\"c\",\"e\",1)\n", "n.add_link(\"e\",\"a\",5)\n", "n.add_link(\"e\",\"b\",2)\n", "n.add_link(\"d\",\"e\",6)\n", "path = [\"b\",\"d\",\"a\",\"c\",\"e\"] # path of unlearn\n", "n.show(routes=path,layout=\"Kawai\"); \n", "\n", "print(\"is_connected?\",n.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n.is_premagic) # balance of flow test\n", "print('is idealflow?',n.is_ideal_flow) # irreducible and premagic\n", "n.network_probability # need to update network probability before output it\n", "print('Network Probability: ',n.network_prob)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we set a path where the network is unlearned. It means along the path, the flow would be subtracted by one.\n", "When the flow is initially one, then the link that contains zero flow would be removed from the network.\n", "The result is weakly connected network with a sink node `c`.\n", "\n" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "is_connected? True\n", "is_strongly_connected? False\n", "is_premagic? False\n", "is idealflow? False\n", "is premagic network? False\n", "is irreducible matrix? False\n", "is premagic matrix? False\n", "is ideal flow matrix? False\n", "Network Probability: {'a': {'b': 0.20833333333333331}, 'b': {'c': 0.041666666666666664, 'd': 0.20833333333333331}, 'd': {'e': 0.25}, 'e': {'a': 0.20833333333333331, 'b': 0.08333333333333333}}\n" ] } ], "source": [ "adjList = n.get_data() # get adjacency list of initial network \n", "n1 = net.IFN(\"Network after Unlearned\") # create new network\n", "n1.set_data(adjList) # copy data from Initial Network\n", "n1.unlearn(path) # unlearn\n", "n1.show(layout=\"Spring\");\n", "print(\"is_connected?\",n1.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n1.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n1.is_premagic) # balance of flow test\n", "print('is idealflow?',n1.is_ideal_flow) # after unlearn, it is no longer ideal flow\n", "print('is premagic network?',n1.is_premagic)\n", "\n", "C,listNodes=n1.get_matrix()\n", "print('is irreducible matrix?',n1.is_irreducible_matrix(C)) # not ideal flow because not irreducible\n", "print('is premagic matrix?',n1.is_premagic_matrix(C))\n", "print('is ideal flow matrix?',n1.is_ideal_flow_matrix(C))\n", "\n", "n1.network_probability # need to update network probability before output it\n", "print('Network Probability: ',n1.network_prob)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next code is to demonstrate that Weakly Connected Network cannot become IFN. Due to the existence of the sink node, the stochastic matrix contains zero row. The matrix is reducible. Therefore, it cannot be transformed into an ideal flow network.\n", "\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "S [[0. 1. 0. 0. 0. ]\n", " [0. 0. 0.16666667 0.83333333 0. ]\n", " [0. 0. 0. 0. 0. ]\n", " [0. 0. 0. 0. 1. ]\n", " [0.71428571 0.28571429 0. 0. 0. ]] \n", "\n", "F= [[ 0. 19.04167548 0. 0. 0. ]\n", " [ 0. 0. 4.54622382 22.7311191 0. ]\n", " [ 0. 0. 0. 0. 0. ]\n", " [ 0. 0. 0. 0. 23.93801565]\n", " [17.92363021 7.16945208 0. 0. 0. ]] \n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "is_connected? True\n", "is_strongly_connected? False\n", "is_premagic? False\n", "is idealflow? False\n", "Network Probability: {'a': {'b': np.float64(0.19970269790557324)}, 'b': {'c': np.float64(0.04767926872559459), 'd': np.float64(0.23839634362797296)}, 'c': {}, 'd': {'e': np.float64(0.2510538693645723)}, 'e': {'a': np.float64(0.18797701455449065), 'b': np.float64(0.07519080582179624)}}\n" ] } ], "source": [ "n2 = net.IFN(\"Network with Sink node cannot become IFN\") # create new network\n", "S=n2.capacity_to_stochastic(C)\n", "print('S',S,'\\n')\n", "F=n2.stochastic_to_ideal_flow(S,100)\n", "print('F=',F,'\\n')\n", "\n", "n2.set_matrix(F,listNodes)\n", "n2.show(layout=\"Kawai\");\n", "\n", "print(\"is_connected?\",n2.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n2.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n2.is_premagic) # balance of flow test\n", "print('is idealflow?',n2.is_ideal_flow)\n", "n2.network_probability # need to update network probability before output it\n", "print('Network Probability: ',n2.network_prob)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Network below contains source node `c`. Due to the existence of the *source node* , the stochastic matrix contains zero column. The matrix is reducible. Therefore, it cannot be transformed into an ideal flow network." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "S.T [[0. 0. 0. 0. 0.71428571]\n", " [1. 0. 0. 0. 0.28571429]\n", " [0. 0.16666667 0. 0. 0. ]\n", " [0. 0.83333333 0. 0. 0. ]\n", " [0. 0. 0. 1. 0. ]] \n", "\n", "F= [[ 0. 0. 0. 0. 17.41491065]\n", " [23.45557664 0. 0. 0. 6.70159333]\n", " [ 0. 0.0461331 0. 0. 0. ]\n", " [ 0. 22.08081013 0. 0. 0. ]\n", " [ 0. 0. 0. 25.33441793 0. ]] \n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "is_connected? True\n", "is_strongly_connected? False\n", "is_premagic? False\n", "is idealflow? False\n", "Network Probability: {'a': {'e': np.float64(0.1832503413653255)}, 'b': {'a': np.float64(0.24681392362927387), 'e': np.float64(0.07051826389407824)}, 'c': {'b': np.float64(0.0004854407405646304)}, 'd': {'b': np.float64(0.23234778956044813)}, 'e': {'d': np.float64(0.26658424081030957)}}\n" ] } ], "source": [ "n3 = net.IFN(\"Network with Source node cannot become IFN\") # create new network\n", "St=S.T\n", "print('S.T',St,'\\n')\n", "F=n2.stochastic_to_ideal_flow(St,100)\n", "print('F=',F,'\\n')\n", "\n", "n3.set_matrix(F,listNodes)\n", "n3.show(layout=None);\n", "print(\"is_connected?\",n3.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n3.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n3.is_premagic) # balance of flow test\n", "print('is idealflow?',n3.is_ideal_flow)\n", "n3.network_probability # need to update network probability before output it\n", "print('Network Probability: ',n3.network_prob)\n" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "pathEntropy 0.34532873435716427\n", "('Initial Network', 1.0) \n", "\n", "network: {'a': {'b': 5}, 'b': {'c': 1, 'd': 5}, 'd': {'e': 6}, 'e': {'a': 5, 'b': 2}} \n", "\n", "node values: {'a': 5, 'b': 6, 'd': 6, 'e': 7}\n", "max link flow= 6\n" ] } ], "source": [ "n.show()\n", "\n", "nodeSequence=[\"b\",\"d\",\"e\",\"a\",\"b\",\"c\",\"d\"]\n", "print(\"pathEntropy\",n.get_path_entropy(nodeSequence))\n", "print(n.match(nodeSequence,{\"abgh\":n}),\"\\n\")\n", "print(\"network:\",n,\"\\n\")\n", "print(\"node values:\", n.nodes_flow)\n", "print('max link flow=',n.max_flow)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let us create a random irreducible network and do some testings " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C: [[0 1 0 0 0]\n", " [1 0 1 0 0]\n", " [0 0 0 0 1]\n", " [1 1 0 0 0]\n", " [0 1 0 1 0]] \n", "\n", "is irreducible matrix? True\n", "is premagic matrix? False\n", "is ideal flow matrix? False\n", "is_connected? True\n", "is_strongly_connected? True\n", "is_premagic? False\n", "is ideal flow? False\n", "{'a': {'b': np.int64(1)}, 'b': {'a': np.int64(1), 'c': np.int64(1)}, 'c': {'e': np.int64(1)}, 'd': {'a': np.int64(1), 'b': np.int64(1)}, 'e': {'b': np.int64(1), 'd': np.int64(1)}}\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = net.IFN(\"Capacity\") # create new network\n", "k=5 # number of nodes\n", "m=k+int(3*k/4) # number of links\n", "C=n.rand_irreducible(k,m) # generate random irreducible matrix\n", "print(\"C:\",C,\"\\n\")\n", "print('is irreducible matrix?',n.is_irreducible_matrix(C)) # not ideal flow because not irreducible\n", "print('is premagic matrix?',n.is_premagic_matrix(C))\n", "print('is ideal flow matrix?',n.is_ideal_flow_matrix(C))\n", "n.set_matrix(C)\n", "print(\"is_connected?\",n.is_connected) # undirected connectivity test\n", "print(\"is_strongly_connected?\",n.is_strongly_connected) # directed connectivity test\n", "print(\"is_premagic?\",n.is_premagic) # balance of flow test\n", "print('is ideal flow?',n.is_ideal_flow) # ideal flow test\n", "print(n)\n", "n.show();\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us create a new network that would balance the flow in each nodes such that the sum of inflows would be equal to the sum of outflows." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F: [[0. 5. 0. 0. 0.]\n", " [4. 0. 4. 0. 0.]\n", " [0. 0. 0. 0. 4.]\n", " [1. 1. 0. 0. 0.]\n", " [0. 2. 0. 2. 0.]] \n", "\n", "is irreducible matrix? True\n", "is premagic matrix? True\n", "is ideal flow matrix? True\n" ] } ], "source": [ "\n", "n = net.IFN(\"IFN\") # create new network\n", "F1=n.capacity_to_ideal_flow(C,1)\n", "scaling= n.global_scaling(F1,'int')\n", "F=n.equivalent_ifn(F1,scaling)\n", "print(\"F:\",F,\"\\n\")\n", "print('is irreducible matrix?',n.is_irreducible_matrix(F)) # not ideal flow because not irreducible\n", "print('is premagic matrix?',n.is_premagic_matrix(F))\n", "print('is ideal flow matrix?',n.is_ideal_flow_matrix(F))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideal Flow Network \n", "-----------------------\n", "Having a network does not mean it is Ideal Flow Network (IFN)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C: [[0 1 0 0 0]\n", " [8 0 0 0 2]\n", " [3 0 0 0 0]\n", " [0 0 6 0 0]\n", " [0 0 0 4 0]]\n", "F: [[0. 5. 0. 0. 0.]\n", " [4. 0. 0. 0. 1.]\n", " [1. 0. 0. 0. 0.]\n", " [0. 0. 1. 0. 0.]\n", " [0. 0. 0. 1. 0.]]\n" ] }, { "data": { "image/png": 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BggUL0K1bN632LwgXFxds27YNHTt2VNam+Pvvv/H333/nuL+Hhwe2bdum9fwC165dU9ascHBwUBWbRIXBlgGyeD4+Pnp77v4le3t7VV9w5r+Ec5K5GKhYsWK+N4l27dqhTZs2SvzXX3/h33//LWS2pqVatWqYMGECXn31Vdja2mq9/5UrV/RSCLxUs2ZNnD9/HkOHDlWNGcmsZMmSGDp0KM6fP1+gdTcyf//06tVL5wsukeWRZM5nSWQQkZGR8PT0RHp6OsqWLYuoqCjY2dmJTsusJCcn4+LFi7h+/Tru37+PhIQE2NrawtnZGRUrVkSDBg1U8wsYMq8DBw7g1q1bePToEcqWLYtq1aqhdevWBf4eyMjIQJUqVXDv3j1IkoSwsDCtxxkQ5YbFAJEBffnll/j1118BACEhIfD39xecEZmaNWvWoHv37gCATz75BL///rvgjMgcsBggMqDbt2+jVq1aSElJgaenJy5fvqw8hkakjfr16+P8+fOwtrbGpUuXVGssEBUWxwwQGVCVKlWUFfMiIiLw22+/Cc6ITMm6detw/vx5AMCgQYNYCJDOsGWAyMASExNRp04d3LlzB5UqVcLVq1d1Nvsdma+0tDR4eXnh+vXrcHV1xdWrV7VamIpIGywGiIiILBy7CYiIiCwciwEiIiILx2KAiIjIwrEYICIisnAsBoiIiCwciwEiIiILx1ULiSxYQkICIiIikJKSAjs7O3h6esLJyUl0WkRkYCwGiCxMWFgYFi9ejF27duHKlSvIPNWIJEmoXbs2OnTogAEDBsDb21tgpkRkKJx0iMhC3Lx5E4MGDcL27dvh6uoKPz8/NGnSBN7e3ihevDgSExMRFhaGkydPYsOGDYiOjkanTp2wcOFCeHh4iE6fiPSIxQCRBViyZAmGDx8OFxcXTJs2DV27dkWxYsVy3T81NRXr16/H2LFj8ejRI8ydO5crLBKZMQ4gJDJzU6dORd++fdGtWzdcuHAB3bt3z7MQAIBixYqhe/fuuHjxIrp164a+ffti6tSpBsqYiAyNYwaIzNiSJUsQGBiIKVOmIDAwsMDHlyhRAiEhIahSpQoCAwNRvnx5fPnll3rIlIhEYjcBkZm6efMmfH190a1bN4SEhBTpXLIso1+/flizZg0uXLjAMQREZobFAJGZeuuttxAeHo4LFy6gRIkSRT7fs2fP4OvrC29vb2zbtk0HGRKRseCYASIzFBYWhu3bt2PatGl5FgIHDx7EBx98ADc3N9jZ2aFy5cro0qULDh8+nG1fZ2dnTJ8+Hdu3b0d4eLg+0yciA2MxQGSGFi9eDFdXV3Tt2jXXfebNm4fWrVtj165d6NChA0aNGoW2bdvi3LlzWL9+fY7H+Pn5wdXVFYsWLdJX6kQkAAcQEpmhXbt2wc/PL9enBs6dO4eRI0eiQoUKOHLkCKpVq6a8J8sy7t+/n+NxdnZ28PPzw+7du/WRNhEJwpYBIjMTHx+PK1euoEmTJrnu8/PPP0Oj0SAoKEhVCAAvZiF0d3fP9djGjRvj8uXLSEhI0FXKRCQYiwEiM3P9+nXIspznVMInTpwAALz55psFPr+Pjw9kWUZEREShcyQi48JigMjMpKSkAACKFy+e6z5xcXGQJAkVKlQo8PkdHBxU1yEi08digMjM2NnZAQASExNz3adUqVJ5jg3IS1JSkuo6RGT6WAwQmRlPT09IkoSwsLBc93n11VcBADt37izw+S9dugRJkuDp6VnoHInIuLAYIDIzTk5OqF27Nk6ePJnrPgMGDIC1tTUCAwMRGRmpbD948CCGDRuGv//+O9djT506hTp16sDJyUmneROROCwGiMxQhw4dsGHDBqSmpub4vq+vL+bOnYv79+/Dx8cHPXv2xPjx4/Huu+9i/vz56Ny5M7p3747bt2+rjktJScGGDRvQvn17Q3waRGQgnI6YyAyFhYXBx8cHoaGh6N69e6777d+/H7NmzcLRo0eRkJCAjIwMZGRkKO/b29vj66+/xujRo+Hk5ITVq1ejR48eCAsLg5eXlyE+FSIyABYDRGaqMGsTtG3bFvv27cu2vUKFCpg4cSKmTZsGHx8frk1AZGbYTUBkphYuXIjY2FiMHDlS62OyTkD00v379zFw4EBERUWhT58+OsqQiIwFiwEiM+Xh4YG5c+diyZIlCAoK0uqY3IqBlzQaDT755BN88sknuHXrVtGTJCKjwGKAyIz5+/sjKCgIEyZMQN++fREfH5/n/vkVAy+tW7cOderUwbhx4/I9JxEZPxYDRGZu/PjxCAkJwZo1a1C3bl2sXr0616cMPDw8tD5vSkoKpk+fjpo1a2Lp0qWqgYdEZFo4gJDIQty8eRODBg3C9u3b4erqCj8/PzRu3Bg+Pj5wcHBAUlISDh06hK+//rpQ52/QoAHmzJmD1q1b6zZxItI7FgNEFiYsLAyLFy/G7t27cfnyZej6V8CHH36I4OBgVKxYUafnJSL9YTFAZIbS09OxdOlSVKpUCe+8806u+yUkJCAiIgIpKSmws7ODp6cn6tevjxs3bhTp+m3atMHevXuLdA4iMhwb0QkQke6VKFECycnJsLa2xu3bt+Hu7p7jfk5OTmjQoIFqm4eHR5GLATc3tyIdT0SGxQGERGZm5syZSE5OBgBkZGSgbNmyBTpe2ycKciJJEkaNGoVff/210OcgIsNjywCRGXn06BFGjx6txB9//HGBlxouyBMFmdWqVQvLli1Ds2bNCnU8EYnDlgEiM+Li4qKKf//99wKfo6AtA5IkYeTIkTh79iwLASITxZYBIjMxffp0VRwWFgZJkgp8noIWAwcPHkSLFi0KfB0iMh58moDIDMTExMDV1VWJu3fvjtDQ0EKd6969ewV6LDAmJiZbiwQRmRYWA0RmIGsLQFF+rDUaDYoXL46UlJQc369RowauX7+us+sRkXgcM0Bk4qZMmaKKL1++XKTzWVlZoWrVqjm+N3ToUJw7dy7bNbRdCImIjBNbBohMWHR0tOqZ/s8//xzLly8v8nk7duyInTt3KnH16tWxbNkytGzZUtnWu3dvrFixQokfPnyo6qogItPBYoDIhOmyeyCzCRMmKH/tDxkyBNOnT4ejo6PBrk9EhsVuAiITNWnSJFV87do1nZ37m2++wS+//IITJ05g/vz5ORYCOV0za05EZBrYMkBkgh48eIAKFSoo8ZdffoklS5YIyaVfv34ICQlR4nv37qlyIyLjx2KAyAQZW/O8seVDRAXDbgIiExMYGKiKsz7mJ0LWHMaPHy8oEyIqDLYMEJmQrBMCDRgwAIsWLRKY0X8GDRqkyiUqKirX1RKJyLiwGCAyIcbeHG/s+RFRzthNQGQivvnmG1V88+ZNQZnk7tatW6o48wqKRGS82DJAZALu3r2LypUrK/HgwYMRHBwsMKPcDRs2DPPnz1fiO3fuoFKlSgIzIqL8sBggMgGm1vxuavkSWTp2ExAZuYCAAFWctSneGN2+fVsVjxgxQlAmRKQNFgNERuzOnTuYNWuWEg8fPjzXRYSMSeXKlTFq1Cglnjt3LiIjIwVmRER5YTcBkREz9eZ2U8+fyFKwZYDISA0bNkwVZ216NwV3795VxYMHDxaUCRHlhcUAkRGKjIxUjcgPCAhQPU1gKipWrKh6JPKnn34yykciiSwduwmIjJC5Na+b2+dDZG7YMkBkZL766itVnLWp3RTdu3dPFffr109QJkSUExYDREbk5s2bWLhwoRJ/8803qrUITFWFChUwYcIEJQ4JCTGKBZaI6AV2ExAZEXNvTjf3z4/IVLFlgMhI9O/fXxVnbVo3Bw8ePFDFffr0EZQJEWXGYoDICFy/fh2//PKLEgcGBqJChQoCM9LSlStAcDDQuzfg6wvY2ACSBAQF5bi7m5sbvvvuOyVevnw5rl69aqBkiSg37CYgMgIm23w+fDgwb1727VOmAIGBuR5msp8vkZliywCRYF9++aUqvn//vqBMCqFuXSAgAAgNBcLDgV69tDosOjpaFffs2VMf2RGRllgMEAl07do1/Prrr0r87bffonz58gIzKiB/f2DmTKB7d6BOHcBKu18p5cqVw7Rp05Q4NDQU4eHh+sqSiPLBbgIigcyuubx3b2DFiny7CV4yu8+fyESxZYBIkM8++0wVP3z4UFAm4sTGxqriTz75RFAmRJaNxQCRAJcvX8bKlSuVOCgoCK6urgIzEqNs2bL44YcflHjdunW4dOmSwIyILBO7CYgEMNvm8QJ2E7yU9euh0WiybSMi/WHLAJGBde/eXRXHxMQIysR4PH78WBV36dJFUCZElonFAJEBhYWFYc2aNUo8ffp0uLi4CMzIOJQuXRpz5sxR4j///BPnz58XmBGRZWE3AZGByLIMqyyP3pndj18huwleYncBkRhsGSAykKwj5bOOpCfgyZMnqvi9994TlAmRZWExQGQAFy9exB9//KHEP/74I8qWLSswI+NUqlQpBAcHK/HWrVtx5swZgRkRWQZ2ExDpmUV0D7xUxG6Cl9hdQGRYbBkg0rOsI+Ozjpw3aadPA02b/vfauvXF9p9/Vm8v4HoLcXFxqrhTp066ypiIcmAjOgEic3b+/Hn8+eefSjxnzhyULl1aXEK69uwZcPx49u137754vZSSUqDTOjs7Y9GiRRg4cCAAYOfOnTh16hQaN25clGyJKBfsJiDSE4vqHtATdhcQGQa7CYj05P3331fFWUfKU/6ePXumitu1aycoEyLzxmKASA/Onj2LLVu2KHFwcDBKlSolLiETVaJECYSEhCjxvn37cDynbgkiKhJ2ExDpGLsHdC9r10BGRka2rzERFR5/moh07O2331bFWUfGU8ElJCSo4hYtWgjKhMg8sRgg0qH//e9/2L59uxIvXLgQzs7OAjMyD46Ojli+fLkSHzt2DIcPHxaXEJGZYTcBkY6we0D/bG1tkZ6ersTsLiDSDf4UEelIhw4dVHHWkfBUdFm/ppx3gEg3WAwQ6cDJkyexZ88eJf7ll19QokQJgRmZJwcHB9US0GfOnMG+ffsEZkRkHthNQFRE7B4wPGdnZ8THxytxeno6rK2tBWZEZNrYMkBURK1bt1bFmW9SpB8xMTGq2MfHR1AmROaBxQBREfz77784ePCgEi9duhROTk4CM7IMdnZ22LBhgxJfuXIFO3bsEJgRkWljNwFRIbF7QDw3NzdER0crcVpaGmxsuP4aUUGxZYCokLJOfJN1YhzSvzt37qhiT09PQZkQmTYWA0SFcPToURw9elSJly9fDkdHR4EZWaZixYph8+bNShwZGamKiUg77CYgKiCNRqMauW5tba2aCIcMr1q1aoiMjFTilJQUFCtWTGBGRKaFLQNEBdS0aVNVzMmFxIuIiFDFlSpVEpQJkWliMUBUAIcOHcLJkyeVeOXKlShevLjAjAgAbGxsVE8TxMTEqJ42IKK8sZuASEtZuwfs7OyQnJwsMCPKysvLC5cvX1bipKQk2NvbC8yIyDSwZYBIS1nnwX/y5ImgTCg3Fy9eVMWurq6CMiEyLSwGiLSwf/9+nDlzRonXrFkDBwcHgRlRTqytrbF3714ljo+PV61lQEQ5YzcBUT4yMjJUE9k4OTlxymEj98orr6iKt+fPn3NsB1EeWAwQ5cPX11fV/Mx+aOPHxz+JCobdBER52Lt3r6oQ+OOPP1gImAArKyscPnxYiTMyMrB8+XJxCREZObYMEOUia/dAqVKlOGjQxDRv3lw1U2R8fDwXkiLKAYsBolxkfUwtOTkZdnZ2AjOiguJiUkTaYTcBUQ527dqlKgQ2btzIQsAESZKE48ePq7b98ssvgrIhMl5sGSDKIj09Hba2tkpcrlw51TK5ZHrat2+PPXv2KHFcXBycnZ0FZkRkXFgMEGXh6emJ69evKzEXvTF97C4gyhu7CYgy2bZtm6oQ+Ouvv1gImAFJknD69GnVtvnz5wvKhsj4sGWA6P9l7R5wd3dHVFSUwIxI195//31s3rxZiR8/fozSpUsLzIjIOLAYIPp/1apVQ2RkpBKnpqaqigMyfewuIMoZuwmIAGzdulVVCGzZsoWFgBmSJAkXLlxQbZs5c6agbIiMB1sGyOKlpaWpxgVUqVJFVRiQ+fn444/xxx9/KHFMTAxcXFwEZkQkFosBsngVK1bEvXv3lJjdA+aP3QVEauwmIIv2999/qwqBbdu2sRCwAJIkITw8XLVtypQpgrIhEo8tA2SxUlNTVbMKVq9eXfVYIZm/zz//HL/99psSP3jwAG5ubgIzIhKDxQBZLDc3N9XMgmlpaaqFicgySJKkivkrkSwRuwnIIm3atElVCOzYsYOFgIW6du2aKg4MDBSUCZE4bBkgi5OSkgJ7e3slrl27tmpRIrI8/fv3Vy1gFBUVBXd3d4EZERkWiwGyOGXKlMGTJ0+UOD09HdbW1gIzImOQX3dBQkICIiIikJKSAjs7O3h6esLJycmQKRLpDbsJyKL88ccfqkJg9+7dLAQIAHDz5k1VHBAQgLCwMAwdOhReXl5wdnZGw4YN0bRpUzRs2BDOzs7w8vLC0KFDERYWJihrIt1gywBZjOTkZDg4OChx3bp1s81GR5Zt+PDhmDdvnmqbq6sr/Pz80KRJE3h7e6N48eJITExEWFgYTp48iQ0bNiA6OhqdOnXCwoUL4eHhISh7osJjMUAWw9nZGfHx8UrM7gHKSdbugvyWsE5NTcX69esxduxYPHr0CHPnzoW/v7++0yTSKXYTkEX4/fffVYXAvn37WAhQNlOnTs22bcSIETnue+vWLUiShH79+qF79+64ePEiunXrhr59++Z4HiJjxmKAzF5SUhK6deumxA0aNEDr1q3FJURGacmSJQgMDMSUKVMwZswYZfvChQtx48aNfI8vUaIEQkJCMHnyZAQGBmLp0qX6TJdIp9hNQGbPwcEBycnJSpyRkZFtXnqybDdv3oSvry+6deuGkJAQAPk/XXDr1i14eHjg888/x/Lly1X79evXD2vWrMGFCxc4hoBMAn8jklkLDQ1VFQIHDx5kIUDZDBo0CC4uLpg9e7ayLfOaFba2tkhLS9PqXJIkYdasWShbtiwGDRqk81yJ9IG/FclsJSYmomfPnkrcuHFjvPHGGwIzImMUFhaG7du3Y9q0aShRooSyvUKFCti7dy8aNGiA1157DV5eXrC3t4enpyemT58OjUaT6zmdnZ0xffp0bN++PduCSETGiMUAma2SJUuq4uPHjwvKhIzZ4sWL4erqiq5du2Z7r02bNnjllVdw+PBhaDQafPXVV+jYsSNmz56NYcOG5XlePz8/uLq6YtGiRfpKnUhnOBk7maXffvsN6enpSnz48GF2D1COdu3aBT8/vxwfH9y/fz9+/fVX1K9fH0eOHIGjoyMAYNy4cWjQoEGe57Wzs4Ofnx92796tj7SJdIq/HcnsPH/+HJ9//rkSv/7662jevLnAjMhYxcfH48qVK2jSpEmO779c3njixIlKIQAAFStWzLdlAHjRNXX58mUkJCToJmEiPWExQGYn63zxR44cEZQJGbvr169DlmV4e3vn+P65c+cAIMexJtqMP/Hx8YEsy4iIiChaokR6xmKAzMqvv/6qio8dO5btETGil1JSUgAAxYsXz/H9uLg4WFlZwcXFJdt7bm5u+Z7/5fTXL69DZKxYDJDZSEhIwJdffqnELVu2RNOmTQVmRMbOzs4OwIsnT3JSsmRJaDQaxMbGZnvv4cOH+Z4/KSlJdR0iY8VigMxG5sfCgBeDv4jy4unpCUmScl11sH79+gCAQ4cOZXsvp21ZXbp0CZIkwdPTs2iJEukZiwEyCy9njXvp+PHj7B6gfDk5OaF27do4efJkju/36tULADB58mQ8f/5c2R4VFaVMUHTnzp1ssxO+dOrUKdSpUyfbOBYiY8NigExefHw8+vXrp8Rt27bFq6++KjAjMiUdOnTAhg0bkJqamu29Nm3aoE+fPjh37hx8fX0xatQoDB48GA0aNICNzYsns/fu3YsOHTrg/PnzqmNTUlKwYcMGtG/f3iCfB1FRcG0CMnlZWwA0Gg1bBUhrYWFh8PHxQWhoKLp3757t/YyMDMycORMhISG4e/cuKlWqBH9/f/zzzz84fPiwsp+VlRX8/f0xZcoUuLq6YvXq1ejRowfCwsLg5eVlyE+JqMBYDJBJW7RokWr+91OnTqFRo0YCMyJT9NZbbyE8PBwXLlzINvYkNwMGDMDPP/+cbbuzszMCAgIQEhICHx8fbNu2TdfpEukcuwnIZMXFxakKgY4dO7IQoEJZuHAhYmNjMXLkSK2PqVatWo7bnz17hokTJ+Lu3bvo3LlzruMJiIwJiwEyWaVKlVLF/AuMCsvDwwNz587FkiVLEBQUpNUxuRUDL8myjIEDB6JNmzY4c+aMDrIk0h8WA2SSFixYoIpPnz7NcQJUJP7+/ggKCsKECRPQt29fxMfH57m/h4eHVuc9cOAAGjVqBH9/fzx48EAXqRLpHMcMkMl5+vQpSpcurcTvvPMOtmzZIjAjMidLlizB8OHDUbZsWUyfPh1du3bNcRGjhw8fonz58gU6t5OTE8aNG4cRI0bA3t5eVykTFRmLATI5fHqA9O3mzZsYNGgQtm/fDldXV/j5+aFx48bw8fGBg4MDkpKScPHiRQwYMEC1Oqa2qlWrhh9++AFdu3bl9y4ZBRYDZFLmzp2LESNGKPG5c+dQr149gRmROQsLC8PixYuxe/duXL58WTUYUJIk2Nra5jg/gbZatGiBRYsWoW7durpIl6jQWAyQyXjy5AnKlCmjxB988AE2bdokMCOyJAkJCYiIiEBKSgrs7Ozg6emJjz/+uMgDVytWrIi7d+/qKEuiwrERnQCRtjIXAgCwceNGQZmQJXJyckKDBg1U27QdRJgXV1fXIp+DqKj4NAGZhFmzZqniCxcusK+VhMvv8cL8dOvWDbt27dJNMkRFwJYBMnqPHj1CQECAEnft2pV9rGQUCtsy4OrqisWLF+PDDz/UcUZEhcMxA2T0+PQAGatTp06hSZMmBTrm008/RXBwMFxcXPSUFVHBsWWAjNqMGTNU8cv14YmMQUG7CdavXw8/Pz/9JENUBBwzQEYrNjYW33zzjRJ369YN3t7eAjMiUitbtiycnJy03r9SpUp6zIao8NhNQEYrawsAv1XJGPn6+uLixYs5vufi4oLY2FjVNnZzkTFiywAZpalTp6ri8PBwQZkQ5S23QYRdu3bFpUuXkJCQoNr+xhtvGCItogJhMUBGJzo6GoGBgUrcq1cv1KlTR2BGRLnLOm6gbNmyWLt2Lf744w+4urrC0dERK1asUN4/cuQIjh49auAsifLGbgIyOuweIFOyatUq9OrVCwDg5+eHhQsX5jiRkK2trWodg4yMDFhZ8e8xMg58moCMynfffaeKr169KigTIu18+umnkGUZ5cuXR/v27XMdDxAXFwdHR0clbtq0KU6cOGGoNInyxJYBMhpZl4T94osvsHTpUoEZEenW6tWr0aNHDyU+cOAAWrZsKTAjohdYDJDRYPcAWYLixYsjKSlJidldQMaA34FkFCZMmKCKIyIiBGVCpF+PHz9WxY0aNRKUCdF/WAyQcPfv30dQUJAS9+vXDzVq1BCYEZH+2NvbY+3atUp89uxZ7Nu3T2BGROwmICPA7gGyRCVLlsSzZ8+UOD09HdbW1gIzIkvGlgESauzYsar4xo0bgjIhMqzo6GhVXK9ePUGZELEYIIGioqLw/fffK/GgQYMKvSQskamxs7PD+vXrlTgsLAy7d+8WmBFZMnYTkDDsHiACypUrp1q/IC0tDTY2nAKGDIstAyTE119/rYpv3bolJhEiwaKiolSxl5eXoEzIkrEYIIO7c+cOfvzxRyUeOnQoqlatKjAjInGKFSuGP//8U4kjIiKwfft2cQmRRWI3ARkcuweIsnN3d8f9+/eVODU1Fba2tgIzIkvClgEyqBEjRqji27dvC8qEyLhERkaq4po1awrKhCwRiwEymMjISMydO1eJR44cicqVK4tLiMiI2NraYsuWLUocGRmpion0id0EZDDsHiDKX7Vq1VStBCkpKShWrJjAjMgSsGWADGLIkCGq+O7du4IyITJuWdflqFatmphEyKKwGCC9u3XrFhYsWKDEo0ePRsWKFQVmRGS8bGxssG3bNiW+f/8+/vrrL4EZkSVgNwHpHbsHiAquZs2aqlYCdheQPrFlgPRq4MCBqjjrBCtElLPw8HBVzNY00icWA6Q3N27cwOLFi5V4/PjxcHd3F5gRkUBXrgDBwUDv3oCvL2BjA0gSkGn57sxsbGywa9cuJY6NjVWtZUCkS+wmIL1h9wBRJsOHA/PmZd8+ZQoQGJjrYd7e3qpWgqSkJNjb2+shQbJkbBkgvfD391fFmWdWI7JIdesCAQFAaCgQHg706qXVYRcuXFDFbm5u+siOLByXxiKdi4iIwNKlS5V44sSJKF++vMCMiIxAlgIZVtr9LWZtbY29e/eibdu2AIBnz55h7dq1+OSTT3SdIVkwtgyQzmWdRvW7774TlAmReWjTpg3q16+vxJ9++imSkpIEZkTmhsUA6VSfPn1U8YMHDwRlQmReTp8+rYrLli0rKBMyRywGSGcuX76M5cuXK/HkyZPZv0mkI1ZWVjhw4IASJyUlITQ0VGBGZE5YDJDOeHl5qeIJEyYIyoTIPLVs2RKNGzdW4p49eyIxMVFgRmQuWAyQTmQdzBQTEyMoEyLzdvz4cVXs7OwsKBMyJywGqMguXryIdevWKfGMGTPg4uIiMCMi82VlZYXDhw8rcUZGBlasWCEwIzIHLAaoSGRZhq+vr2rb6NGjBWVDZBmaN2+O119/XYl79+6N58+fC8yITB2LASqSDz/8UBU/fvxYUCZEluXIkSOq2MnJSVAmZA5YDFChnT17VrW06ty5c1G6dGmBGRFZDkmScOzYMdW2zJN9ERUEiwEqFFmW0bBhQ9W2YcOGCcqGyDI1bdoUrVq1UmJ/f3/Ex8cLzIhMFRcqokLp1KkTduzYocRPnz5FyZIlBWZEZOROnwYGDfovvn4diI0FKlUCMi9PvGkTUKGC1qeVZRlWWaY25q91KiiuTUAFdurUKVUhsHDhQhYCRPl59gzI8lggAODu3Revl1JSCnRaSZJw4sQJvPrqq8q2n3/+Gf379y9spmSB2DJABcK/QoiMU4cOHbB7924ljouL4xwEpDUWA1QgrVq1wsGDB5X42bNnKFGihMCMiAhgoU5FwwGEpLVjx46pCoGlS5eyECAyEpIk4X//+59q24IFCwRlQ6aGLQOkFY1GA2tra9U2fusQGZ+3334b27ZtU+InT56gVKlS4hIik8BigLTy2muv4cSJE0qckJAAR0dHgRkRUU7YXUCFwW4CytfBgwdVhcDKlStZCBAZKUmScO7cOdW2WbNmCcqGTAVbBihPGRkZsLH57wlUe3t7JCUlCcyIiLTRpUsXbNq0SYljY2NRtmxZgRmRMWMxQHmqV68eLly4oMRJSUmwt7cXmBERaYPdBVQQ7CagXO3Zs0dVCKxdu5aFAJGJkCQJly5dUm2bNm2aoGzI2LFlgHKUnp4OW1tbJS5dujRXJCQyQT169MDq1auV+OHDh3B1dRWYERkjFgOUo1q1auHatWtKnJycDDs7O4EZEVFhSZKkivlrn7JiN4E5uHIFCA4GevcGfH0BGxtAkoCgoEKdbvv27apCYNOmTSwEiEzYlStXVPHEiRMFZULGii0D5mD4cGDevOzbp0wBAgMLdKq0tDQUK1ZMiStUqIB79+4VMUEiEs3f3x9Lly5V4nv37qFCAVZHJPPGlgFzULcuEBAAhIYC4eFAr16FPlWNGjVUcWRkZFGzIyIjsGTJElXs7u4uKBMyRlzC2Bz4+6tjq8LVeH///Tfu3LmjxFu2bFENIiQi03bjxg1Ur15diceMGYMZM2YIzIiMBVsGCACQmpqKzp07K7GHhwfeeecdgRkRka55eHhg8ODBSvzDDz+o/gAgy8VigAAAFStWVMVXr14VlAkR6VNwcLAqrlKliqBMyJiwGCCsX78esbGxSrxz507VFMREZF6yjgUaOnSooEzIWLAYsHDJycn46KOPlNjb2xsdOnQQmBER6VuVKlUQEBCgxMHBwbh586bAjEg0FgMWrly5cqr4/PnzgjIhIkOaOXOmKs48sJAsD4sBC7Z69WokJCQo8b59+2BtbS0wIyIypKioKFXcr18/QZmQaCwGLFRiYiJ69OihxI0aNULr1q3FJUREBufu7o7ATBOThYSEICIiQmBGJAqLAQvl7Oysik+cOCEoEyISacqUKaq4Zs2agjIhkVgMWKDly5cjIyNDiY8cOZJt3XMishwPHjxQxb2KMIspmSbeASxMQkIC+vTpo8TNmzdHs2bNBGZERKK5ubmpWghWrVqF8PBwgRmRoXGhInNw+jQwaNB/8fXrQGwsUKkSkHkyoU2bIGWZj1yj0WRb3pSILFPW3wX8/WA5OLOMOXj2DDh+PPv2u3dfvP7f6mXLVG8fP36cP+hEpIiJiVE9bvzxxx/jjz/+EJgRGQpbBizEs2fPULJkSSVu164ddu/eLTAjIjJGP/74I77++mslPn/+PHx9fQVmRIbAYsBCsPmPiLTF3xeWhwMILcCCBQtU8enTp/mDTUS5evz4sSp+//33BWVChsJiwMw9efIEQ4YMUeJ33nkHDRs2FJgRERm70qVLY/78+Uq8ZcsWnD59WmBGpG/sJjBzbO4josLi7w/LwZYBM/bjjz+q4vPnz/MHmYi0FhcXp4q5oqn5YjFgph49eqQaEdy1a1eOCCaiAnF2dsbPP/+sxHv27OHU5WaK3QRmis17RKQr/H1i/tgyYIamTp2qisPCwviDS0SFFh8fr4pbtGghKBPSFxYDZiY6Olq1JGmvXr3g5eUlMCMiMnVOTk5Yvny5Eh89ehSHDx8WlxDpHLsJzEzWFgD+9xKRrtja2iI9PV2JMzIyuOKpmeD/ohmZOHGiKr569aqgTIjIHD179kwVN27cWFAmpGssBszE/fv3VUuQ+vv7o2bNmgIzIiJz4+DggDVr1ijxmTNnsG/fPoEZka6wm8BMsHuAiAzF2dlZNagwPT0d1tbWSpyQkICIiAikpKTAzs4Onp6ecHJyEpEqaYlLGJuBMWPGqOIbN24IyoSILEF0dDQcHByUuG7dutiwYQMWL16MXbt24cqVK6o/SCRJQu3atdGhQwcMGDAA3t7eItKmPLBlwMTdvXsXlStXVuLBgwcjODhYYEZEZAk2btwIPz8/1TZXV1f4+fmhSZMm8Pb2RvHixZGYmIiwsDCcPHkSGzZsQHR0NDp16oSFCxfCw8NDUPaUFYsBE8fuASISJWt3wfPnz1G8ePFc909NTcX69esxduxYPHr0CHPnzoW/v78hUqV8cAChCRs+fLgqjoyMFJMIEVmcqVOnZpuMKL/m/2LFiqF79+64ePEiunXrhr59+2abJI3EYDFgom7duoV58+YpcUBAAKpUqSIwIyKyFEuWLEFgYCCmTJmCzZs3K9sjIyOxZcuWfI8vUaIEQkJCMHnyZAQGBmLp0qX6TJe0wG4CE8XuASIS4ebNm/D19UW3bt0QEhICAKhWrZqqZVLbyYhkWUa/fv2wZs0aXLhwgWMIBGLLgAnq37+/Ko6KihKUCRFZmkGDBsHFxQWzZ89WtkVERKj2yRrnRpIkzJo1C2XLlsWgQYN0micVDIsBExMREYFffvlFicePHw93d3eBGRGRpQgLC8P27dsxbdo0lChRQtluY2OD8+fP44033kDr1q0xcuRIuLi4wM7ODjVr1kRgYCASExNzPKezszOmT5+O7du3Izw83FCfCmXBbgITw+4BIhJl6NChWLt2Le7cuYNixYple3/RokX46quvUKpUKbz33ntwdXXFqVOnsH//fjRr1gz79u3L8biUlBRUqVIFn3zyCebPn2+IT4Wy4KRDJuTzzz9XxQ8ePBCUCRFZol27dsHPzy/HG3pYWBiGDh2KevXqYc+ePShbtqzy3vfff4+xY8ciODgYo0aNynasnZ0d/Pz8sHv3br3mT7ljN4GJuHz5Mn777TclnjJlCtzc3ARmRESWJD4+HleuXEGTJk1yfP/nn39Geno6goODVYUAAIwePRrlypVTrWuQVePGjXH58mUkJCToNG/SDlsGTISXl5cqDgwMFJQJEVmi69evQ5blXOcS+PfffwEAO3bswJ49e7K9b2tri8uXL+d6fh8fH8iyjIiICDRo0EAnOZP2WAyYgE8++UQVx8TECMqEiCxVSkoKAOQ6w+Djx48BoNCTCL1c6+Dldciw2E1g5C5evIh169Yp8YwZM+Di4iIwIyKyRHZ2dgCQ51MBAPDs2TPIspzrKzdJSUmq65BhsRgwYrIsw9fXV7Vt9OjRgrIhIkvm6ekJSZIQFhaW4/uvvfYagP+6Cwrq0qVLkCQJnp6ehc6RCo/FgBH78MMPVfHLZjgiIkNzcnJC7dq1cfLkyRzfHzRoEGxsbDBkyBDcvn1b9d79+/fx1VdfYcqUKcjIyMjx+FOnTqFOnTpwcnLSee6UP84zYKTOnj2Lhg0bKvHcuXMxbNgwgRkRkaXLb56BkJAQDBw4ELa2tnj77bdRo0YNxMfH459//lEKhPr162POnDlo06aNchznGRCPxYARkmU527ze/G8iItHCwsLg4+OD0NBQdO/ePcd9Tp48idmzZ+PgwYOIiYlByZIlIUlStoHPH3zwAWbOnAlPT0+sXr0aPXr0QFhYWLYnp8gwWAwYoU6dOmHHjh1K/PTpU5QsWVJgRkREL7z11lsIDw/HhQsXVFMS52XOnDkYOXJktu22trYYMGAANm3ahLp162Lbtm26Tpe0xDEDRubUqVOqQmDRokUsBIjIaCxcuBCxsbE53txzU61atRy3p6WlITg4GHfv3kXz5s2Rnp6uoyypoNgyYETYPUBEpmDJkiXo27cvpkyZotUEaGfOnMErr7yS735169bFnDlz0L59e12kSQXAlgEj0rp1a1X87NkzMYkQEeXB398fQUFBmDBhAvr27Yv4+Pg89/fw8NDqvBcvXkSHDh3w/vvv4+rVq7pIlbTEYsBIHDt2DAcPHlTipUuXat0fR0RkaOPHj0dISAjWrFmDunXrYvXq1UhNTc1x31KlShWou3Pz5s3w8fHBiBEj8OTJE12lTHlgN4ER0Gg0sLa2Vm3jfwsRmYKbN29i0KBB2L59O1xdXeHn54fGjRvDx8cHDg4OSEpKwqVLlzBmzBjExsYW+PxlypTBd999h/79+8PW1lYPnwEBLAaMwquvvqqayOP58+e5zv9NRGSMwsLCsHjxYuzevRuXL19W/UEjSRIcHR2LtCKhl5cXFi5cmK07lXSDxYBgBw8eRKtWrZR41apV6NGjh8CMiIiKJiEhAREREUhJSYGdnR08PT0xYcIEzJ07t0jntbOzw927d7k+ix5w1UKBMjIyVIWAg4MDCwEiMnlOTk7ZliHWdhBhXkqXLp3jzIdUdBxAKFDm6YYBrj1AROYrt7kGtNW6dWscPXpUWR2RdIvFgCB79uzBhQsXlHjt2rWwt7cXmBERkf4UthgoXrw4FixYgD179uikdYFyxjEDAqSnp6tGxZYuXZqtAkRk1p49e1bg2VRbtWqFX3/9FdWrV9dTVvQSWwYE8Pb2VsX3798XlAkRkWE4OzujTJkyWu8/f/587N27l4WAgbAYMLDt27fj2rVrSrxp0ybY2dkJzIiIyDAK0lUgSVK26dlJf9hNYEBpaWmqkbAVKlTAvXv3BGZERGQ4Xbt2xYYNG3J8z8HBAenp6UhLS1O2PXnyBKVKlTJQdpaNZZcB1ahRQxVHRkYKyoSIyPByaxlo0aIFzp8/j5SUFNX20qVLGyArAlgMGMzff/+NO3fuKPHWrVs5tSYRWZSsxYCDgwPmzJmDAwcOwNPTE5Ik4dy5c6p9ijpREWmH3QQGkJqaqhoXUL16dVy/fl1gRkREhnfixAm89tprAIDmzZtj2bJlqFmzZrb9unTpgk2bNinxo0ePCjT4kAqOxYABlCtXTrVAR1paGmxsOPkjEVmev/76C2lpafjwww+zLdD2kizL2QYP8lalX+wm0LP169erCoGdO3eyECAii9W5c2d07do110IAePEkwcWLF1XbZs6cqe/ULBpbBvQoOTkZDg4OSuzt7Y1Lly4JzIiIyHR88sknWLdunRLHxsaibNmyAjMyXywG9MjJyQnPnz9X4vT09DyrYSIi+g+7CwyH3QR6snr1alUhsH//fhYCREQFIEkSwsLCVNumTZsmKBvzxpYBPUhMTISjo6MSN2rUCKdOnRKYERGR6erZsydCQ0OVODo6GuXKlROYkflhMaAHNjY2yMjIUOKMjAxOq0lEVASSJKli3rp0i3coHVu+fLmqEDhy5AgLASKiIrpy5Yoqnjx5sqBMzBNbBnQoISEBJUqUUOLmzZvj8OHDAjMiIjIfX3zxBZYtW6bEDx48gJubm8CMzAeLAR3K2oyl0WiybSMiosJjd4F+sP1aR3755RdVfPz4cRYCREQ6FhERoYonTJggKBPzwpYBHXj27BlKliypxO3bt8euXbsEZkREZL769++v+gMsKioK7u7uAjMyfSwGdIDdA0REhsXuAt1iN0ERBQcHq+LTp0+zECAi0rMbN26o4m+++UZQJuaBLQNF8OTJE9Wymu+++y42b94sMCMiIssxePBg/PTTT0p8584dVKpUSWBGpovFQBGwe4CISCx2F+gGuwkK6ccff1TF58+fZyFARGRgt27dUsWjRo0Sk4iJY8tAITx69AguLi5K/NFHH6mW2SQiIsMZMWIE5s6dq8SRkZGoUqWKuIRMEIuBQmD3ABGRcWF3QdGwm6CApk6dqorDw8NZCBAR6dKVK0BwMNC7N+DrC9jYAJIEBAXlesjt27dV8dChQ/WcpHlhMVAA0dHRCAwMVOJevXqhTp06AjMiIjJDixYBQ4cCK1YAFy8CmRZ/y03lypXx9ddfK3FwcHC28QSUO3YTFACboYiIDGDJkhetAw0bAq+8AkybBqxcCUyZAmT6gywn/D1dODaiEzAVEydOVMVXr14VlAkRkZnz91fHBVgGPioqChUrVlTigQMHYtGiRbrKzGyxm0AL9+/fx5QpU5TY398fNWvWFJgRERHlxN3dHePGjVPixYsXZ5utkLJjN4EW2OxExkaj0SAhIQFJSUmqV3Jyslbb8novIyMDJUuWRKlSpZRX6dKlUbp0adW2l9tLlSoFe3t7DqQl/end+8X4AS26CV7i7+2CYTdBPsaMGaOKWWGSrqSnp+Pu3bu4ceNGjq9Hjx6JTlFvSpYsCW9vb3h5ecHLy0v5uGrVqrAqQJMwUW7u37+PChUqKPGXX36JpUuXCszIuLFlIA93795F5cqVlXjIkCGYP3++wIzImMmyjIiICBw5ckR5hYeHi07LbLwsHDIXD7Vr10bx4sVFp0b6VoiWAQCYNGkSJk+erMRXr15lF28uWAzkgc1MlFlsbCyOHj2qutmT8XF3d0e7du3Qtm1btG3bljPRmYNCFgMAf49ri90EuRg+fLgqzjqhBZmX5ORk/O9//1Pd6M25md6c3bt3DytXrsTKlStzfN/X1xft2rVDu3bt0LJlSzg7Oxs4QzKkhw8fws3NTYk/++wz/PbbbwIzMk5sGcjBrVu34OHhocQBAQGYOXOmwIxIV2JiYrBp0yasX78eu3btEp0OGaE2bdqgbdu2aNeuHRo3bgxbW1vRKVERWgYAICgoCBMmTFDi8PBwThiXBYuBHLBZyfRFRUVh48aNWL9+PQ4ePCg6HTID7u7u6NGjB3r06IF69erx6QlDKmIxAPD3en44bDeL/v37q+KoqChBmZA2bty4gZkzZ+K1116DJEnKq1KlShg6dCgLAdKZe/fuYebMmWjQoAGsrKyU77VWrVohJCQET548EZ0i5SEmJkYVd+vWTVAmxonFQCYRERH45ZdflDgwMBDu7u4CM6KXYmNjMWPGDNSvX191069RowZGjx6NEydOiE6RLNTBgwfRr18/lClTRvm+dHBwgL+/P/bt2weNRiM6RQLg4uKC6dOnK/Hvv/+OsLAwgRkZF3YTZMJmJOOQlpaGjRs3Ijg4mCP2yazUrVsXPXv2RPfu3VWPLVMWp08Dgwb9F1+/DsTGApUqAZmmGsamTUCmuQS0wSXocyGTLMuy/Nlnn8kAlNeDBw9Ep2QRNBqNfOLECblXr16qrz9ffFnK69VXX5XXrVsnp6eni/5xNB779skykP/r5s0Cnzo2Nlb19e/SpYvO0zdFLAZkWQ4PD1d9c0yZMkV0Smbr3r178qRJk+QyZcoI/yXMF1/G+LK3t5cnTJggP3z4UPSPq9n68ccfVV/z8+fPi05JOHYTgN0D+pKcnIx169YhODgYp06dEp0Okcnq3LkzAgIC0Lx5czZp6wi7C9QsfgDhJ598ooqzjjgl7d2/fx9fffWVahDV559/zkKAqIj++usvvPHGG8pTDNWrV8eiRYuQmJgoOjWT9fjxY1XcuXNnQZkYB4tuGbh48SJ8fX2VeMaMGRg9erTAjExLQkIC5syZg4kTJ4pOxaKUKVMG1atXR5UqVVCiRAk4ODjAwcEB9vb2ysdZXzm9l3mbnZ0drK2tlWu8XBXx6dOnyuvJkyd48uSJaltu78XHxwv8ClmmAQMGYOTIkZx7vwDmzZunmm329OnTaNiwobiEBLLYYkCW5Wyro1nol0Jr6enpWL58OcaNG8cWlCJyc3ND9erVUb16dXh4eCgfV69eHe7u7qobs7lKSkrC1atXERYWhvDwcISHhysf82ex6EaMGIHAwECUKVNGdCpGjd0FL1hsMfDBBx/gr7/+UuLHjx+jdOnSAjMyPrIs459//sG4ceNw/vx50ekYvWLFiqF58+bKq2nTpihVqpTotMyGRqPBnTt3lMIhPDwcFy9exLFjx0SnZvTc3d0xe/ZsfPzxxxZ5o8tLXFyc6ue0Q4cO2Llzp7iERBEybFGwM2fOqEaSzps3T3RKRuPkyZPym2++KXxEtTG+6tWrJw8cOFBetWqVfPPmTVmj0Yj+76IcPH36VN68ebM8fPhwuV69esK/b4zx9cEHH8hXrlwR/V9lNBYtWqT6+pw4cUJ0SgZncS0DMrsHVG7evInvvvsOK1asEJ2KcG+//TY6deqE5s2bo169erCx4aKe5uj27dvYt28f9uzZgz179uDevXuiUxJu+vTpGDZsGBwcHESnIoyldxdYXDHQsWNHVRPQ06dPUbJkSYEZGZZGo8GyZcvg7+8vOhVh/Pz80LVrV7zzzjsoUaKE6HTIiGg0Gpw7dw47d+7E2rVrcebMGdEpGVyDBg0we/ZstGnTRnQqBhUfH69azrpFixY4dOiQwIwMTGSzhKGdOHFC1RS0aNEi0SkZRGJiojxu3DjhTZOGfNnZ2ck9evSQN23aJCcmJor+LyATl5GRIR86dEju37+/7OTkJPz725Cvfv36yffv3xf9X2AQv/76q+pzP3LkiOiUDMZiWgZkC+seuH//PkaMGIG1a9eKTkWvSpYsia5du6Jr165o27YtihUrJjolsiBxcXHYuHEjQkNDsWfPHtHp6F2NGjWwatUqNG3aVHQqemNlZaW6N2RkZGS7d5gjiykGWrVqpVrONj4+Hk5OTgIz0r1z586hb9++OHnypOhU9KJOnToYMmQIevXqxeZ9MmqXLl1CaGgoVq1ahTt37ohORy/c3NywevVqtG3bVnQqOpWYmAhHR0clbtSokWVMnCawVcJgjhw5omr6+fXXX0WnpDN///23XLZsWeFNibp+FStWTB41apR8/fp10V9iIp1ITk6Wf//9d7lJkybCf750/XJ0dJT//vtv0V9inVm1apXq89u/f7/olPTO7FsGNBqNagIXSZJMen3x9PR0LFiwACNGjBCdik59+OGHGDJkCFq3bm1RI3jJsoWFhWH27NlYunSp6FR0as2aNfjkk090+rP84MEDbNy4EY8ePUJ6ejqaNm2Kdu3a6a1r0NHRUTXdc3p6unlPBia6GtG3rFX48+fPRadUYHFxcfKQIUOEV/+6ejVo0EBeunSpSf5fEOlTfHy8PG/ePLly5crCf0519QoJCSnSnBxPnz6VP/30U9na2jrbuUuVKiUvW7ZMd/8BmSQlJamu5e3trZfrGAuzLgYOHDig+s9ctWqV6JS09vz5c7lfv37Cf5CL+nJ0dJQDAwPlO3fuiP6SEpkcjUYj79u3T3777beF/yzr4jVnzhw5PT1d688/MjJS9vb2zve8/fv3L9B5tfXHH3+orrNz506dX8NYmG0xkJ6ervpPdHBwEJ1SvjQajTx37lzhP7BFfU2cOFF++vSp6C8nkVmKioqSv/nmmxz/Ujal15QpU+TU1NRcP0+NRiN37NhR6/MNGjRIL7OCZh2TlZaWpvNrGAOTKwYePHggX758Od/9fH19Vf+BSUlJBsiucLZt2yb8B7Mor759+8q3b98W/WUkskipqanyL7/8IpcoUUL474LCvr799ttsN9ktW7YU+DwTJ07U+dc3JSVFdQ0PDw+dX8MYmFQx8OjRI9nZ2VkGIPfq1Ut+/Phxjvvt3r1b9Z+3bt06A2eav/DwcNnLy0v4D2FhXu+++6589uxZ0V9CIspBVFSU7O/vL/z3RGFf69evl2VZLvQaKfpYa+avv/5SXWPLli06v4ZoJlUMbN26VfUf4u7uLm/dulW1T1pammqfMmXKCMo2u0ePHsldunQR/sNW0Ffjxo3lHTt2cGEeIhOj0WjknTt3WtyCTfoYH1apUiXVNVJSUnR+DZFMalqlmzdvquJ79+7hnXfewZdffom4uDgAgLe3d7Z9REpLS0NgYCAkSULZsmWxceNGofloo2LFilixYgXS09MhyzJOnjyJN998k4/8EZkYSZLQoUMHnDt3DrIs4/nz5wgKChKdlt717t0bW7du1ek5b9y4oYqrVaum0/MLJ7oaKYhRo0blWglWqlRJ/uabb1Tb/vzzTyF5ajSabJNWGPtr8uTJfNSPyMKEhYXJ77//vvDfP/p42dvby4cOHdLp1yvr+K6NGzfq9PwimdSkQ35+flr/Ze3u7o6oqCg9Z6R2/PhxvPfee4iJiTHodQvD3t4ey5Yt0/nEIERkmjQaDdasWYNRo0bh4cOHotPRiZIlS+LQoUPw9fXV2Tlr1aqFa9euKXFycjLs7Ox0dn5RTKqbIGszTV6WLVumx0z+ExcXh/feew+SJKFp06ZGXQh4e3vj2LFjkGUZSUlJ+PTTT1kIEBGAFwv09OjRAw8ePIAsy4iJicFnn30mOq0iiYuLQ6dOnXD79m2dnTMsLEwVu7m56ezcIplUMZB1zEBeOnbsiCFDhuD58+d6yWXDhg2QJAmlSpXCli1b9HINXXjvvfdw69YtyLKMS5cumfVqY0SkOy4uLlixYgVkWUZcXBwGDRokOqVCuXfvHt566y08fvxYJ+ezsbHB7t27lTguLs48VocV2UdREI8fPy5Uv1GNGjV01m8UGxsrt2vXTnhfWH6vYcOGyXFxcTr5nImIMktMTJRHjx4t/PdcQV8tWrTQ6XwzWZ/QSExM1Nm5RTCZloGCtApkdv36dbRs2RIjR45EUlJSoc4RGhoKSZLg4uJitGuWz5s3Txn9P3fuXDg7O4tOiYjMkIODA2bMmAFZlpGSkoLJkyeLTkkrhw8fRo8ePZCRkaGT8505c0YVly5dWifnFcXsiwEAkGUZc+bMweuvv651t0Fqaiq6du0KSZLQs2fPQl9bX1xcXLB582bIL+aKwNChQ817RS0iMjrFihXDhAkTIMsy0tPTMXv2bNEp5Wnjxo0YNmwYZB2Mm7eyssLBgweVOCUlBStXrizyeUUxmWKgIIMHc3Pu3DnVKNDc7N69G76+vtiwYUORr6lL5cqVw7///qsM7nn33XdFp0REBACwtrbGiBEjIMsyMjIy8Msvv4hOKUc//fQTZsyYoZNzvfHGG3jttdeU+LPPPtPbODV9M5lioCgtA8CLb9QxY8agfv36ee63bds2dOrUCVevXi3S9XRp1apV0Gg0iI6OVn3jEREZIysrK/Tt2xeyLEOj0WD16tWiU1IZO3Ys1q1bp5NzHT16VBU7OTnp5LyGZhHFwNtvv40LFy7g+++/z/NRujt37uCjjz7SWZ9SUYwfPx6pqamQZRk9evTgI4BEZJIkSUK3bt2ULs0///xTdEoAgMGDB+PJkydFPo+VlRWOHTum2rZkyZIin9fQzLoYqFu3Lnbs2IGtW7fCy8sr3/0XLVoktInHz88Pjx49gizLCAoKgq2trbBciIj0oXPnzkpXgq6a6wsjJiZGZ1MzN23aFK1bt1bivn37Ij4+XifnNhSTmIFQo9HAwcEBqampWu1frlw5TJkyBV9++SVsbGy0vk7VqlV1OjmFNry9vbF+/XqtihUiInOTlJQER0dHnQzqK6gGDRpkeyqgsGRZhpWVVbZtpsIkWgbu37+vVSFQrFgxjBkzBhEREejfv3+BCgGNRmOw6YslScK2bduUiYBYCBCRpdq5c6ewm2ZYWBjS0tJ0ci5JknDq1CnVtp9++kkn5zYEkygGtOki+Oijj3D58mV8//33hXrGPjU1FRqNpjDpaW3evHnQaDTQaDTo1KmTXq9FRGQKst5ADU2XhUijRo3w1ltvKfHgwYPx9OlTnZ1fn0y+GGjcuDEOHTqEdevWwcPDo9DXsLe3R926dQt9fG769++P58+fK3MBcCAgEdF/Ll++LOza9erVQ7FixXR6zqxLJ5vKZEQmWwxUqlQJK1euxPHjx9GiRQudXKdjx446OU+NGjUQEREBWZaxePFiFC9eXCfnJSIyN+XLlxd27Xbt2un8nJIk4dy5c6pts2bN0vl1dM0kioFnz54pHxcvXhyTJ0/GlStX0LNnz2wDNopi7NixcHFxKfTxP/74IzQaDSIiIlCjRg2d5UV6Nno0IEkvXjoaXUwAevf+7+ua2ys5WXSWJJioMVMVK1bEuHHj9HLuevXqoUuXLkocEBCAR48e6eVauqL9CDuB+vTpg9OnT6NWrVqYOHEi3N3d9XKdMmXKYOXKlfDz80NiYqJWx/j4+GDr1q2oWrWqXnIiPTt6FJg168WNyYRG/pqU5s0BT8+c3+MU2havW7duGD9+vEH71osXL45ff/1Vr2u4rF+/XvXHqouLi3E/XWCoFZFMyalTp2QfH588V8BasGCBrNFoRKdKRfH8uSzXrCnLFSvK8gcfyDIgy1OmiM7KfHz++Yuv6bJlojMhI/fDDz8YbPVCX19fOTw83CCf16VLl1TXnjZtmkGuWxhCWwYSEhIQERGBlJQU2NnZwdPT0yimcmzUqBEuXLiA/fv348CBA3j48CFKlCiBZs2a4fXXX4ebm5voFEkXxo4Frl0Dtm4FdDQ1KREVXEBAAGJjY/HDDz/o5HySJKFs2bJwdXVFuXLlUK5cOTRo0ABvvvkmXnnlFYMt6ubt7Y3u3bsr0zGPGzcOX375JVxdXZV9jOU+aPBiICwsDIsXL8auXbtw5coVVbOJJEmoXbs2OnTogAEDBsDb29vQ6alyadOmDdq0aSMsB9Kj/fuB4GDgs8+At99mMUAkkCRJmDFjBho0aICZM2fmOhFQyZIl4e7ujooVK6r+dXNzQ7ly5ZSbf5kyZYxmFdfQ0FDV2gxubm64dOmS0d0HDTYD4c2bNzFo0CBs374drq6u8PPzQ5MmTeDt7Y3ixYsjMTERYWFhOHnyJDZs2IDo6Gh06tQJCxcuLNIjg0TZJCQA9eoBSUlAWBhQuvSLwW4rVgBTpgCBgaIzNA8vv6affQa4uADx8UDZssCrr74owOzsRGdIRkiWZYSFheHBgweIi4tDmTJl4O7uDnd3d6NoOS6Ma9euoVatWqptRncfNERfREhIiOzo6ChXrVpVDg0NlVNSUvLcPyUlRQ4NDZWrVKkiOzo6yiEhIYZIkyxF//4v+rI3bfpv28v+bY4Z0J2XX9OcXhUqyPK2baIzJDKYN954QzV+4NatW3nub+j7oN6LgaCgIBmA7O/vLz979qxAxz579kz29/eXAchBQUF6ypAsyo4dL25Gn36q3s5iQPdmz5blefNk+eJFWX72TJYfPpTlnTtluVmzF19rW1tZ3rdPdJZEevfyPpjTa9KkSXkea6j7oF6LgZCQEBmAPKWIv2AnT54sA5CXLFmio8zIIj19KsuVKslyuXKyHBOjfo/FgOFoNLLcufOLr3f9+qKzIdKrzPfBGzduFLgYeEnf90G9FQM3btyQHR0dZX9//yKfS6PRyP7+/rKjo6N848YNHWRHFql37xc3oLVrs7/HYsCwzp79r8vg9m3R2RDpRU73wcGDB6uKgdGjR2t1Ln3fB/U2gPCtt95CeHg4Lly4gBIlShT5fM+ePYOvry+8vb2xbds2HWRIFqdUKeD58xeT4GR1+TLw8CFQrRpQtSpQvjzw+++GztBypKb+N4Dw6FHg9dfF5kOkB7ndBzOvUfPpp59izZo1Wp1Pr/dBnZcX8n8TLYSGhmZ7LyUlRZ4/f7785ptvypUqVZKLFSsmlytXTv7www/l06dP53ne0NBQGYAcFhamj7TJ3JUsmfuAtqyvqlVFZ2ve7t3772t94YLobIh0Lq/74J07d+TXX39dBiCPGTNGPnTokNyqVSvZyclJLlmypNylSxf52rVrOZ5XX/dBvaxNsHjxYri6uqJr167Z3nv8+DGGDx+OlJQUvP322xgxYgRat26Nf/75B82aNcPJkydzPa+fnx9cXV2xaNEifaRN5u7p09xv/59//mKfKVNexLduiczU/L1sdXF2BmrXFpsLkR7kdR+sVKkSpk2bBgA4e/Ys2rVrh5IlS2LIkCFo1aoVNm3ahGbNmuHGjRvZjtXXfVAvkw7t2rULfn5+OS4NWbp0ady+fRsVK1ZUbb906RKaNm2KcePGYdeuXTme187ODn5+fti9e7c+0iYiXTl7Frh9+8V8AjaZfs1oNMCyZcDLBWKGDgVsbYWkSKRPed0HM9uxYwcWL16M/v37K9t+/vlnDBgwAMOGDcPmzZtV++vrPqjzloH4+HhcuXIFTZo0yfF9Ozu7bIUA8GLBnzZt2uDgwYNIS0vL9fyNGzfG5cuXkZCQoLOciUjHbt0COncGXF2B9u2BHj2Ad94BPDwAf/8XqxV26wZMmiQ6UyKdy+8+mFmtWrXQt29f1ba+ffuiZs2a2Lp1K2JiYrIdo4/7oM6LgevXr0OW5TynUDx79iy6d++OKlWqoFixYpAkCZIkYfPmzUhNTUVsbGyux/r4+ECWZUREROg6dSLSlfr1geHDAR+fF4MzN24E9ux58V7Xri/Wg1i9Wt1qQGQmtLkPvtS8eXPV6oYAYGVlhebNm0OWZZw7dy7bMfq4D+r8JzElJQXAiyUic3L06FG0bdsWAPDmm2+iZs2acHJygiRJ+PPPP3Hu3DnlHDlxcHBQXYdIJ5Yvf/Ei3fDwAObMEZ0FkRD53Qczy23hu5fb4+Lisr2nj/ugzosBu/9/XCgxMTHH96dOnYqUlBQcOnQILVq0UL3377//5lgFZZaUlKS6DhERkTHJ7z6Y2cOHD/PcXrJkyWzv6eM+qPNuAk9PT0iShLCwsBzfv379OsqUKZOtEEhMTMTp06fzPf+lS5cgSRI8PT11ki8REZEu5XcfzOzIkSPQaDSqbRqNBkePHoUkSahfv362Y/RxH9R5MeDk5ITatWvn+ohg1apV8eTJE1y6dEnZlpGRgYCAgBwHSmR16tQp1KlTx2RXryIiIvOW330ws6tXryIkJES1LSQkBFevXsU777yDcuXKZTtGH/dBvcwz0KFDB2zYsAGpqanZ3hsyZAhkWUaLFi3Qv39/DBs2DK+88grWrVuH1q1b53nelJQUbNiwAe3bt9dH2kRERDqR130ws44dO2Lo0KHo3Lkzxo0bh86dO2PgwIFwcXHBvHnzsu2vr/ugXoqBAQMGIDo6GuvXr8/23rvvvov169ejevXqWLVqFVavXo06dergxIkTqFq1ap7nfbm+88CBA/WRNhERkU7kdR/MrGnTptizZw/i4uIwf/587N+/Hx988AGOHTuG6tWrZ9tfX/dBrk1ARESkB6Z0H9RLywAALFy4ELGxsRg5cmSRzyXLMkaNGoVHjx5h4cKFOsiOiIhIv0zpPqi3YsDDwwNz587FkiVLEBQUVOjzyLKMoKAgLFmyBPPmzYOHh4cOsyQiItIPk7oP6nTZoxwEBQXJAGR/f3/52bNnBTo2Li5O9vf3lwHIU6dO1VOGRERE+mMK90G9FwOyLMshISGyo6OjXKVKFTk0NFROSUnJc//k5GQ5NDRUrlKliuzo6CgvWbLEEGkSERHphbHfB/U2gDCrmzdvYtCgQdi+fTtcXV3h5+eHxo0bw8fHBw4ODkhKSsKlS5dw6tQpZbRkp06dsHDhQpPqGkhKSsK9e/dw7949REVFISoqSvn40aNHKFu2LKpXr47BgwfD3d1ddLpERGQgxnwfNFgx8FJYWBgWL16M3bt34/Lly8h8eUmSUKdOHbRv3x4DBw6El5eXIVPL1ePHjxEdHY2YmBjExMTk+HF0dDSioqLw5MkTrc5ZvHhxzJgxA4MHD9Zz9kREli01NTXfpYQNyRjvgwYvBjJLSEhAREQEUlJSYGdnB09PT6OZWfDRo0f49ttv8c8//+DGjRt6u87WrVvx9ttv6+38RESWJikpCYMGDcK///6LhIQE3L17F7Vq1UKHDh0QFBSEUqVKiU5RYSz3QaHFgLE6c+YM3n//fdy9e1fv16pYsSLu3LkDSZL0fi0iInO2d+9etGvXLs99KlasiK1bt+Y4578lYzGQRUpKCho2bIjw8HCDXTMsLMxoukSIiEzJ8+fP8eWXX2Lt2rVaH+Pr64tTp04ZVdeBaHqbZ8BUrVq1yqCFAACDX4+IyNRt27YNkiTBycmpQIUAAFy4cAGhoaF6ysw0sRjI4tixYwa/JpdjJiLK36NHj/D+++9DkqQij7XSZkVBS8JiIIvo6GiDXs/BwQG1atUy6DWJiExFWloaxo0bB0mS4OLigs2bN+vkvFFRUTo5j7lgMZCFj4+PQa/n5+cHe3t7g16TiMiYybKM3377DZIkoVixYpg+fbrOr9GgQQOdn9OUsRjIokuXLgYd2d+7d2+DXYuIyJgdO3YMZcuWhZWVFT7//HO9XouPdKuxGMiiSZMm6Nu3r8Gu1759e4wYMQIpKSkGuyYRkbG4ffs2WrRoAUmS0KxZMzx+/Fjv1xw+fDhee+01vV/HlPDRwhwkJiaiffv2QgYTLl26FH369OG8A0Rktp4/f47hw4djyZIlBr2utbU1vv76a3z77bews7Mz6LWNHYuBXDx69AjNmzfHlStXhFzfxsYGa9asgZ+fHwsDIjJ5Go0Gc+bMQUBAgLAcDh06hBYtWgi7vjFjMZCHW7du4fXXX8eDBw9Ep4Jly5bh888/Z2FARCbln3/+wTvvvCPs+k2bNsWmTZtQvnx5YTmYAo4ZyEO1atWwbds2lChRQnQq6NOnD6ysrCBJEhYsWACNRiM6JSKiHB06dAg1atSAJEnCCoEVK1ZAlmUcO3aMhYAWWAzko0GDBti0aRNsbW1Fp6IYMmQIrK2tIUkSvv/+e6Snp4tOiYgs2MtHAV/+wdKyZUu9LvCWm9atWyMmJgayLOOzzz4z+PVNGYsBLbRr1w4rVqwQnUaOxo4dC1tbW0iShMDAQD6VQEQGkZycjEmTJkGSJOVRQFG9zmvXroUsy9i3bx9cXFyE5GDqWAxoqVu3bvjxxx9Fp5GnqVOnwt7eHpIkYcSIEXj+/LnolIjIjERHR6NXr16QJAkODg6YPHmysFwGDRqExMREyLKMjz/+WFge5oIDCAtozJgx+OGHH0SnUSBffvklfvzxR6Naw5uITMOlS5fQr18/HD16VHQqaNOmDVauXImKFSuKTsXssBgoIFmW0bdvXyxdulR0KoXSoUMHzJw5k2t5E1Gutm3bhj59+uDhw4eiU0H58uXx999/o0mTJqJTMWvsJiggSZKwePFifPjhh4U6vnv37jrOqGB27dqFBg0aQJIkSJKECRMmID4+XmhORCRWRkYGfvrpJ+X3wttvvy28EFi9ejVkWcb9+/dZCBgAi4FCsLGxwerVq9GmTZsCHde8eXOEhoZClmU8ePAAHTt21FOG2gsKCoKzszMkSULNmjWxefNmYYOAiMhwwsPD0bVrV0iSBBsbGwwePFh0Spg4cSLS0tIgyzK6desmOh2LwmKgkOzt7fHnn3/ilVde0fqYzAtvuLm5Yfv27ZBlGf/73/9QpUoVfaRZIBEREXj//feVx4N69uyJyMhI0WkRkQ48ePAAQ4YMUf769/b2xoYNG0SnhY8++giPHz+GLMv47rvvYGNjIzoli8QxA0UUHR2NN954A1evXs1zPw8PD1y8eBHFixfPc79Tp06hV69euHz5si7TLDIbGxvMmjULAwYMQLFixUSnQ0T5SEhIwPz58zF+/HjRqWRTt25drF+/HrVr1xadCv0/FgM6EBkZiZYtW+L27ds5vi9JErZv344333yzQOe9ePEi+vTpg1OnTukiTZ1q1qwZZs2ahaZNm4pOhYgApKenY+XKlRg3bpxRTKGelZWVFbZt21bg34NkGOwm0IGqVavi9OnT+OCDD3J8b9++fYX6Aahbty5OnjwJWZYRERGB1q1bFz1ZHTl69Chef/11pcmxZ8+eOHv2rOi0iCyGLMvYtm0bGjZsCEmSYGtriy+++MKoCoHy5cvjn3/+gSzLyMjIYCFgxNgyoEOyLOPKlSs4fvw4nj59ildeeQWNGjXKt2ugoO7evYuBAwdiy5YtOj2vLvn6+iIgIACffvopuxWIdOTMmTMYP348tm3bJjqVXDVr1gw///wz6tatKzoVKgAWAyYuOjoaw4YNw++//y46lXyNGjUKw4cPR6VKlUSnQmT0nj17ht9++w3BwcH5jkkSrWfPnpg1axZcXV1Fp0KFxGLAjDx9+hQBAQEmMyHSm2++iYCAALRv355LM5NF02g02LZtG4KDg7Fjxw7R6Whl0qRJ+Oabb2Bvby86FdIBFgNmKiEhAYGBgZg3b57oVLRWvnx5BAQEoG/fvnB2dhadDpHehIWFYcGCBVi0aJHoVLRmZWWFZcuWKWsTkHlhMWABZFnGH3/8gZEjRyIqKkp0OgXSvn179OzZE126dEGJEiVEp0NUYI8fP8bSpUsRHByMO3fuiE6nQDw9PbF06VK0bNlSdCqkZywGLNDjx48xdepUzJ49W3QqheLs7IwePXqgZ8+eyhMNRMbg8ePH+Ouvv7BixQocOHBAdDqF8uabb2LhwoWoUaOG6FTIgFgMEP79918EBATgyJEjolMpkkaNGqFHjx749NNPUaFCBdHpkBl7+PAhNm3ahD/++AN79+4VnU6RVKhQAdOmTUPPnj05+58FYzFAKqmpqfjll18wcuRIpKWliU5HJz755BP07NkTHTt2hK2treh0yITcvn0bGzduxPr1602+WH5JkiRMmzYNQ4YMgaOjo+h0yEiwGKA83b59G4GBgVi5cqXoVHTKysoK7dq1Q7t27dC2bVu88sorsLa2Fp0WCXLt2jVs2LAB69evx//+9z/R6ejcsGHDMHbsWLi5uYlOhYwUiwHSmizL2Lp1K0aNGmX0zz0XlaurK9q2basUDNWqVePYBBMWExODo0eP4siRIzhy5AiOHj0qOiW9+vjjj/Hdd9+hTp06olMhE8FigAotNTUVa9euxY8//ojz58+LTsegvL290bZtW7Rt2xatW7dG6dKlRadksZKTk3Hq1CnlRn/kyBE8fvxYdFoG9cYbb2Dq1Kl44403RKdCJorFAOnU2bNnMWvWLKxatUp0KsKVLl0aXl5e8Pb2hre3N7y8vODl5YXKlSvDyorLguQnIyMDUVFRuHHjBq5evYpjx47hyJEjuHbtmujUhKtZsyamTZuGLl268HuJdILFAOnV06dPERISgpkzZyImJkZ0OkZNkiSleHhZOHh7e6NixYooWbKkSQ5+TEtLw507d3Djxg3cvHkTN27cUL0s7S/4whoyZAi++uorLvlLesNigAxKlmXs2LEDM2fONPlHskxNyZIlUapUKeWl0WiQnJyMpKQk1evlNhLjnXfewZAhQ9ChQwf+1U8Gw2KAhIuMjMTcuXMxd+5c0akQGZSXlxeGDBmCXr16wcnJSXQ6ZMFYDJDRycjIwP79+7Fq1SqsWrUK6enpolMiKjJ7e3sMGTIEAwcOhIeHh+h0iFRYDJDJiI2NxR9//IHQ0FCzmQCGzJOTkxO6du2K3r17o2XLlnwslYweiwEyabIs48yZM1i1ahVCQ0MRHR0tOiWyIC4uLujatSu6du2KVq1acTpfMlksBsgsJSYmYsuWLVi1ahU2b94sOh0ycZUqVVJu+q+//joH9pHZYTFAFuXp06c4dOgQ9uzZgz179uDixYuiUyIjUqNGDeWm36hRIzbvk8VgMUCUSWRkJPbu3Yu9e/diz549uH//vuiUSIeKFSuG5s2bo3nz5mjWrBmaNm3K2SOJwGKASGsZGRk4d+6cUizs3bsXKSkpotOiTOrVq6e62XNNCSLtsBgg0qHExERcu3YN4eHhCAsLQ3h4uPIxf9SKpnLlymjWrJlys69Xrx4H7BHpCIsBIoE0Gg1u376tKhpefvzkyRPR6elc5cqV4eHhgerVq2d7ubq68q94IkFYDBCZkYyMDMTHx+Pp06fK68mTJ3jy5Ilq29OnT2FjYwMHBwc4ODjA3t5e+TivbTltL1asGEfXE5k4FgNEREQWjuU8ERGRhWMxQEREZOFYDBAREVm4/wN8Z7/L+MUwdgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "n = net.IFN(\"IFN\") # create new network\n", "C=n.rand_capacity()\n", "print('C:',C)\n", "F1=n.capacity_to_ideal_flow(C,1)\n", "scaling= n.global_scaling(F1,'min',1)\n", "F=n.equivalent_ifn(F1,scaling)\n", "\n", "print('F:',F)\n", "n.set_matrix(F,['a','b','c','d','e'])\n", "n.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us do it step by step.\n", "\n", "First, let us test if the network is an ideal flow network" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is Ideal Flow? True \n", "\n" ] } ], "source": [ "print('is Ideal Flow?',n.is_ideal_flow,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An ideal flow network must be both strongly connected and premagic. Let us test whether it is strongly connected" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is strongly connected? True \n", "\n" ] } ], "source": [ "print('is strongly connected?',n.is_strongly_connected,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us test if the flows are balance in each node" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is premagic? True \n", "\n" ] } ], "source": [ "print('is premagic?',n.is_premagic,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make strongly connected network into ideal flow network, first, let us assume the existing weight as capacity matrix" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "list_node: ['a', 'b', 'c', 'd', 'e']\n" ] }, { "data": { "text/plain": [ "[[0, np.float64(5.000000000000002), 0, 0, 0],\n", " [np.float64(4.0), 0, 0, 0, np.float64(1.0)],\n", " [np.float64(1.0000000000000013), 0, 0, 0, 0],\n", " [0, 0, np.float64(1.0000000000000042), 0, 0],\n", " [0, 0, 0, np.float64(1.0000000000000018), 0]]" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C,list_node=n.get_matrix()\n", "print('list_node:',list_node)\n", "C" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we compute the ideal flow and scale it to integer" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F = [[0. 5. 0. 0. 0.]\n", " [4. 0. 0. 0. 1.]\n", " [1. 0. 0. 0. 0.]\n", " [0. 0. 1. 0. 0.]\n", " [0. 0. 0. 1. 0.]] \n", "\n" ] } ], "source": [ "F1=n.capacity_to_ideal_flow(C)\n", "scaling= n.global_scaling(F1,'min',1)\n", "F=n.equivalent_ifn(F1,scaling)\n", "\n", "print('F =',F,'\\n')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We replace the adjacency list of the network with the ideal flow matrix F. we can see the flow is in equilibrium such that total inflow is equal total outflow in each node." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is Ideal Flow? True \n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n.set_matrix(F,list_node)\n", "print('is Ideal Flow?',n.is_ideal_flow,'\\n')\n", "n.show(); " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }