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https://github.com/tiga1231/sgd2
08 April 2026, 17:08:34 UTC
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  • analysis-of-runtime.ipynb
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Tip revision: 13ca3d978626473e59fdddd641e457edc57208bc authored by jack on 02 March 2022, 18:24:49 UTC
update OS note
Tip revision: 13ca3d9
analysis-of-runtime.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "## custom & third party\n",
    "from utils import utils, vis\n",
    "from utils import poly_point_isect as bo   ##bentley-ottmann sweep line\n",
    "import criteria as C\n",
    "\n",
    "import networkx as nx\n",
    "from PIL import Image\n",
    "from natsort import natsorted\n",
    "\n",
    "\n",
    "## sys\n",
    "import random\n",
    "import time\n",
    "from glob import glob\n",
    "import math\n",
    "\n",
    "## numeric\n",
    "import numpy as np\n",
    "import torch\n",
    "from torch import nn, optim\n",
    "import torch.nn.functional as F\n",
    "\n",
    "## vis\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "from mpl_toolkits import mplot3d\n",
    "from matplotlib import collections  as mc\n",
    "from mpl_toolkits.mplot3d.art3d import Line3DCollection\n",
    "\n",
    "## notebook\n",
    "from IPython import display\n",
    "from IPython.display import clear_output\n",
    "from tqdm.notebook import tqdm\n",
    "\n",
    "device = torch.device('cuda') if torch.cuda.is_available() else torch.device('cpu')\n",
    "device = 'cpu'\n",
    "plt.style.use('ggplot')\n",
    "plt.style.use('seaborn-colorblind')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'criteria' from '/Users/jack/research/reyan/graph-drawing/criteria.py'>"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import importlib\n",
    "importlib.reload(C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def runtime2csv(runtime, fn='runtime.csv'):\n",
    "    with open(fn, 'a') as f:\n",
    "        for rt in runtime:\n",
    "            line = ', '.join([str(i) for i in rt])\n",
    "            f.write(line + '\\n')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimize via Stochastic Gradient Descent (SGD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mkdir: fig: File exists\r\n"
     ]
    }
   ],
   "source": [
    "# delete old\n",
    "# !rm -r fig\n",
    "!mkdir fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "runtime = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 12097: reducing learning rate of group 0 to 1.3411e-05.\n",
      "Epoch 12398: reducing learning rate of group 0 to 1.0000e-05.\n",
      "Done\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6min 15s, sys: 13.7 s, total: 6min 29s\n",
      "Wall time: 7min 10s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "niter = int(1e6)\n",
    "\n",
    "shouldVis = True\n",
    "visIter = 2000\n",
    "\n",
    "shouldSnap = False\n",
    "snapIter = 25\n",
    "\n",
    "gClamp = 1000\n",
    "minLR = 1e-5\n",
    "# maxSampleSize = 128\n",
    "maxSampleSize = 256\n",
    "\n",
    "# for depth in range(3,11+1):## trees\n",
    "# for depth in range(1,8+1):## grids\n",
    "# for depth in range(7,11+1):\n",
    "for depth in range(3,7):\n",
    "\n",
    "# for depth in [3,4,5,]:## debug\n",
    "\n",
    "    graphName, G = f'balanced_tree_2_{depth}', nx.balanced_tree(2,depth)\n",
    "#     graphName, G = f'grid_2d_graph_16_{int(2**depth)}', nx.grid_2d_graph(16,int(2**depth))\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "    totalTime = 0\n",
    "    print(f'Calculating all pairs shortest path of {len(G)} nodes', end='...')\n",
    "    t0 = time.time()\n",
    "    maxDegree = max(dict(G.degree).values())\n",
    "    D, k2i = utils.dict2tensor(dict(nx.all_pairs_shortest_path_length(G)))\n",
    "    adj,_ = utils.dict2tensor(dict(G.adjacency()), fill=1, device=device)\n",
    "    i2k = {i:k for k,i in k2i.items()}\n",
    "    dt = time.time() - t0\n",
    "    totalTime += dt\n",
    "\n",
    "    W = 1/(D**2+np.eye(len(G)))\n",
    "    truth = adj + torch.eye(adj.shape[0], device=device)\n",
    "    print('done')\n",
    "\n",
    "    ##training\n",
    "    sampleSize = min(len(G), maxSampleSize)\n",
    "    \n",
    "#     pos = torch.rand(len(G.nodes), 2, device=device)*2-1\n",
    "    pos = torch.randn(len(G.nodes), 2, device=device)\n",
    "    pos.requires_grad_(True)\n",
    "\n",
    "#     optimizer = optim.SGD([pos], lr=0.05, momentum=0.9, nesterov=True)\n",
    "    optimizer = optim.RMSprop([pos], lr=0.1)\n",
    "\n",
    "#     patience = np.ceil(np.log2(len(G)))*100\n",
    "#     patience = max(100, int(len(G)/sampleSize)*100)##for trees\n",
    "    patience = max(100, int(len(G)/sampleSize)*300)\n",
    "    \n",
    "#     scheduler = None\n",
    "    scheduler = optim.lr_scheduler.ReduceLROnPlateau(optimizer, factor=0.7, patience=patience, \n",
    "#                                                      threshold = 0.001, threshold_mode='abs', ## gabriel or edge uniformity \n",
    "#                                                      threshold = 0.01, threshold_mode='abs', ## crossings\n",
    "                                                     threshold = 0.1, threshold_mode='abs', ## crossings\n",
    "                                                     min_lr=minLR, verbose=True)\n",
    "    \n",
    "    iterBar = tqdm(range(niter))\n",
    "    lossCurve = []\n",
    "    degrees = adj.sum(1).numpy().astype(np.int64)\n",
    "    xPath = []\n",
    "\n",
    "    for i in iterBar:\n",
    "        t0 = time.time()\n",
    "        optimizer.zero_grad()\n",
    "        \n",
    "        criterionName = 'crossings'\n",
    "#         loss = C.stress(pos, D, W, sampleSize)\n",
    "#         loss = C.edge_uniformity(pos, G, k2i, sampleSize-1)\n",
    "#         loss = C.neighborhood_preseration(pos, G, adj, k2i, i2k, n_roots=2, depth_limit=2)\n",
    "#         loss = C.crossings(pos, G, k2i, niter=15, reg_coef=0.1, sampleSize=sampleSize)\n",
    "        loss = C.crossings(pos, G, k2i, niter=15, reg_coef=0.1, sampleSize=10)\n",
    "#         loss = C.crossing_angle_maximization(pos, G, k2i, i2k, sampleSize=10) ## slow for large sample size\n",
    "#         loss = C.aspect_ratio(pos, sampleSize)\n",
    "#         loss = C.angular_resolution(pos, G, k2i, sampleSize=sampleSize//maxDegree)\n",
    "#         loss = C.vertex_resolution(pos, sampleSize, target=1/len(G)**0.5)\n",
    "#         loss = 0.1*C.gabriel(pos, G, k2i, sampleSize=int(sampleSize**0.5))\n",
    "        \n",
    "        loss.backward()\n",
    "        pos.grad.clamp_(-gClamp, gClamp)\n",
    "        optimizer.step()\n",
    "\n",
    "        ##debug info\n",
    "        dt = time.time() - t0\n",
    "        totalTime += dt\n",
    "        \n",
    "        if i % int(niter/100) == int(niter/100)-1:\n",
    "            iterBar.set_postfix({'loss': loss.item()})\n",
    "\n",
    "        if len(lossCurve) > 0:\n",
    "            lossCurve.append(0.999*lossCurve[-1] + 0.001*loss.item())\n",
    "        else:\n",
    "            lossCurve.append(loss.item())\n",
    "\n",
    "        if scheduler is not None:\n",
    "            scheduler.step(lossCurve[-1])\n",
    "\n",
    "        if shouldSnap and i % snapIter == 0:\n",
    "            x = pos.detach().cpu().numpy()\n",
    "            xPath.append(x.copy())\n",
    "\n",
    "        ##vis\n",
    "        if shouldVis and i % visIter == visIter-1:\n",
    "            x = pos.detach().cpu().numpy()\n",
    "            pos_i = {k: x[k2i[k], :2] for k in G.nodes}\n",
    "            display.clear_output(wait=True)\n",
    "            vis.plot(G, pos_i, lossCurve, [], i, totalTime, edge=True, show=True, save=False)\n",
    "\n",
    "        if optimizer.param_groups[0]['lr'] <= minLR:\n",
    "            print('Done')\n",
    "            break\n",
    "    runtime.append([graphName, criterionName, len(G), i, totalTime])\n",
    "    runtime2csv(runtime[-1:])\n",
    "    \n",
    "    \n",
    "    ## show final result\n",
    "    x = pos.detach().cpu().numpy()   \n",
    "    pos_i = {k: x[k2i[k], :2] for k in G.nodes}\n",
    "    ## save layouts\n",
    "    for k in G.nodes:\n",
    "        G.nodes[k]['pos'] = pos_i[k]\n",
    "    nx.write_gpickle(G, f'layouts/{graphName}-{criterionName}-iter{i}.gpickle')\n",
    "    \n",
    "    vis.plot(G, pos_i, lossCurve, [], i, totalTime,  \n",
    "             show=True, \n",
    "             save=True, saveName=f'fig/{graphName}-{criterionName}-iter{i}.png',\n",
    "             title=f'|V|={len(G)}, iter: {i}, time: {totalTime:.2f} sec')\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'utils' from '/Users/jack/research/reyan/graph-drawing/utils.py'>"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# import importlib\n",
    "# importlib.reload(C)\n",
    "# importlib.reload(utils)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## read layouts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.read_gpickle('layouts/balanced_tree_2_10-stress-iter75811.gpickle')\n",
    "pos = {i: G.nodes[i]['pos'] for i in G.nodes}\n",
    "nx.draw_networkx(G, pos, node_size=2, with_labels=False)\n",
    "plt.axis('equal')\n",
    "plt.tick_params(left=True, bottom=True, labelleft=True, labelbottom=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## save runtime fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BV155hR9//JGrV69y/vx5vv/+ez766CMAevXqRevWrXnppZc4efIk586dY9SoUfdsQqvuZw4watQoPD09GTBgAHv37iUuLo6///6bJUuWsG3bNgBee+01qqqqePbZZzl8+DBxcXEcOXKEOXPmcOzYMQDmzJnDli1biIyMJDo6mp9++glTU1Pc3Nxqdd4agkwcGvT000/z008/0b9/f3x9fRk/fjzNmjXj6NGjyuf2EydOpEOHDnTu3Bk7Ozt++eWXGvfXo0cPDh48SHh4ON26dSMgIIBp06ZhZmaGnp4eurq65OTkMHHiRPz8/Ojbty8ODg7KOworKyt27NhBv3798PHxYdasWcydO5eJEyc2yPl4ENLS0rh8+TI7duzAyclJ5d/169cJCAjgiy++4Ouvv8bf359PP/2UFStWqOzDwcGBJUuWsHTpUpycnHj22WfveKz+/fvz/fffs379elq2bMm0adOYMmUK8+bNu6/3oKWlxbZt22jevDkDBgygQ4cOpKamsm/fPpX6n7pycnJi0qRJDBs2jK5du2JsbMyWLVuUj3uWL1+Ou7s7PXr0oFevXri4uDBs2LC77nPdunUoFAo6duzI4MGD6devHx06dKh1bB9++CGLFi1i5cqVtGzZkj59+qjU233zzTdMmzaNRYsW4e/vT69evVi/fj1eXl7AzXNnYWFB9+7dGThwIP379+eJJ56463HV/cwBDA0NCQkJoX379owfPx4fHx+GDh3KyZMncXd3V+7v+PHj2NraMnToUHx9fRk1ahTx8fE4OTkp9/P+++/Trl072rdvT3h4OLt27VI+ympMtIQ6tbSSJEmS9A95xyFJkiTVikwckiRJUq3IxCFJkiTVikwckiRJUq3IxCFJkiTVymPRc/xebc5rYmtrq9aQHA1JxqSexhgTNM64ZEzqa4xxaSqmG50X70TecUiSJEm1IhOHJEmSVCsycUiSJEm1IhOHJEmSVCsycUiSJEm1IhOHJEmSVCsycUiSJEm1IhOHJEnSIyg0Lp/TyYUa2bdMHJIkSY+QjKIKJu+IYeTmaH6+oJnOio9Fz3FJkqRHnRCCzZezmffXdXJLq3ja25KFPTUze6BMHJIkSQ+5pPxy3t4Xz19x+QBMbu/AnO4uaP8zi2N9k4lDkiTpIaUQgq+OJzBnVyRFFQp0tGBhLzfGtLbT6HFl4pAkSXoIXc0uZebeeE4mVVeAm+pr8/UzXgR5aH6Ocpk4JEmSHiIVVYI1p1JZfjyFsioBgLOZHhuGNMPPzqhBYpCJQ5Ik6SFxMa2Y6XviiMgoUZY94WLOtwM9cDDVa7A4ZHNcSZKkRq6kQsGSw0n0/+kyqYUVOP2TJPo2tWD/pA4NmjRA3nFIkiQ1an8nFvDW3nhicsp4xseKtKIKTiYVMqmdPXO7u2Kir0vJvXdTr+QdhyRJUiNUUFbFu/sTGLoxiooqwYp+HsTmlnIquZBFvZowL6gJOtqaaW57Lw1yx5GZmcmqVavIzc1FS0uL4OBg+vfvT2FhIcuXLycjIwM7OzumTZuGqakpQgjWrVvH2bNnMTAwYMqUKXh5eQFw6NAhtmzZAsDQoUMJCgpqiLcgSZLUYA7G5vH2vnhSCip4+Ql7BvpY8eqfMeSXVfHDYG96eWm+5dTdNEji0NHRYfTo0Xh5eVFSUsI777xDQEAAhw4dolWrVgwePJht27axbds2XnrpJc6ePUtqaiorV64kOjqab7/9lsWLF1NYWMimTZtYunQpAO+88w7t27fH1NS0Id6GJEmSRmUXVzLv0HW2XM7Gx8aQ7SO9yCurYtTmaMwMdNj6gi8t7I0fdJgN86jKyspKecdgZGSEi4sL2dnZhIWFERgYCEBgYCBhYWEAnDp1iu7du6OlpYWPjw9FRUXk5ORw7tw5AgICMDU1xdTUlICAAM6dO9cQb0GSJEljhBBsv5JN0A8R/BGZzbSnnNj9kh8X0osZu/UqnlYG/Pli80aRNOABVI6np6cTGxuLt7c3eXl5WFlZAWBpaUleXh4A2dnZ2NraKrexsbEhOzub7OxsbGxslOXW1tZkZ2c37BuQJEmqRykF5bx7IIG91/Jo7WDMr32b4WtjxIehiaw9nU6wlwWrB3hioq/zoENVatDEUVpayrJlyxg3bhzGxqqZU0tLC616Gldl//797N+/H4ClS5eqJKHa0NXVrfO2miJjUk9jjAkaZ1wyJvXVZ1xCCL4PS+SdnVFUKBQs7e/L653dKKtSMHbjBXZcSuc/nd34ZEDzu1aCP4hz1WCJo7KykmXLltGtWzeefPJJACwsLMjJycHKyoqcnBzMzc2B6juJzMybwwFnZWVhbW2NtbU1ly5dUpZnZ2fj7+9/27GCg4MJDg5Wvr51X7Vha2tb5201RcaknsYYEzTOuGRM6quvuOJyy5i5N55j1wvo1MSUT3q742llSOT1NMZtu8rF9GI+7NGECU/YkZOd1SAx/Zuzs3ONyxqkjkMIwZo1a3BxcWHgwIHK8vbt2xMSEgJASEgIHTp0UJaHhoYihCAqKgpjY2OsrKxo06YN58+fp7CwkMLCQs6fP0+bNm0a4i1IkiTdtyqFYM2pNHqtj+BCWhEf93bjt+E+eFoZcjmjhIE/X+ZqdinfP9uUCU/YP+hwa9QgdxyRkZGEhobi5ubGzJkzARg5ciSDBw9m+fLlHDx4UNkcF6Bt27acOXOGqVOnoq+vz5QpUwAwNTXlueeeY/bs2QAMGzZMtqiSJOmhcDmjhLf2xnEutZjeXhYsCXbDyUwfgENxefzfjhhM9XXY+rwvLR0aRyV4TbSEEOJBB6FpycnJddquMd4uy5jU0xhjgsYZl4xJfXWJq6xSwRd/p/LFyRQsDHT5sGcTBvlaKet0N5zPYO6BBHxtjVg/xBvnf5KJJmNSx90eVckhRyRJkjTkTEoRb+2JIzKrlKF+1nwQ1ARr4+rLrkIIFoYk8fXpNHp6mvPVQC9MG1HLqbuRiUOSJKmeFVdU8fHRZL49nY6jqR4bhqj29i6pUPD6zlh2Xc1lfBs75vdogu4DGj6kLmTikCRJqkeH4/OZtS+ehLxyxra2Y3Y3F8wMbt5JpBdVMH7bVc6nFrOgRxMmNuJK8JrIxCFJklQP8kor+TAkkV8uZuFpZcDm5314ytVMZZ0rmSWM2XKV7JJKvn+2KX28LR9QtPdHJg5JkqT7tDs6l3cPJJBZXMF/OjgwrZMzRnqqvR1C4/KZtOMaxno6bHnBhwAHkwcU7f2TiUOSJKmOMooqmHvwOn9G5dDCrrpVVKs7NKX9KTyD2fsT8LGpXsfFvHYtpxobmTgkSZJqSQjBpkvZzD90nZIKBe90dWZye0f0dFQruBVCsORwEqvD0ujhUd1y6tb6joeVTBySJEm1kJhfxtv7EjgUl097ZxOW9fHA28bwtvVKKhRM3RXLzuhcRre2ZWFPt4eq5dTdyMQhSZKkBoUQrD4Wz5zdUQAs7NmEsW3s0L7D4KwZRRWM336NcylFvB/oyqR29vU2iGtjIBOHJEnSPVzNKuWtvXGEJRcR5GHOR73dcDU3uOO6UVnVLacyiiv4dlBT+jV7MC2nYnJKMdPXwc5Er973LROHJElSDSqqBF+dSmX58RSM9bT5bnhL+jbRr/Hu4XB8PpN2xGCoq8WW531p7djwLacS8sro9O1FALq6mbFxuE+9H0MmDkmSpDu4kFbM9D1xXMooYaCPFQt7NsHP3anGcaF+uZDJO/vj8bY2ZP0Q7xrvSDSluKKK3hsuE5dbpiybF+SqkWPJxCFJknSLkgoFy48ns+ZUGjbGunw7yIunm1nVuL5CCD46ksyXJ1MJdDdnzTNemDdgyykhBG/ujuP3iJvzdqzo58HwFjZ32er+yMQhSZL0jxOJBby1N57YnDJGtrRhbqArloY1XyZLKhS8uTuOP6NyGBVgy6Kebrc1ydWkDeczmL3/tPL1uDZ2LOzZROMV8TJxSJL02Csoq2Lx4SQ2nM/AzUKfX4c1o5u7+V23ySyuYPy2a5xNKeK97i78X3uHBms5dTKxkCEbI5Wv/e2M2PFicwx1G2RuPpk4JEl6vB2IyePtffGkFlbwSjt7ZnVxxljv7o+aorNKGLP1KulFFXwzyIv+d3mUVZ+S8svpuPaCStm1dwIxrChskOPfIBOHJEmPpeziSuYdus6Wy9n42Bjy9TNetHO+94yiRxMKeOWPa+jpaLFphC9tnTTfcqqkQsGzv1whIqNEWbbleR+edDXD1sKQzEyZOCRJkjRGCMEfkTnMPXidgrIqpndy4rWOjhio8Zhnw+kkXt0ShZeVIRuGeNPEQrMtpxRCMPfAddafz1CWLerVhHFtHuxQ7DJxSJL02EgpKGf2/gT2xeTRxtGYT/t44GdndM/tFELwydFkVv6dSjc3M75+xguLu1Sa14eNFzOZvide+XqYvzWf9fVApxEMWyIThyRJjzyFEPx8IZOFIYlUKATvB7ry8hP2al2ESysVTN8dx/bIHMa3d2FeVweNtpw6k1LEMz9fUb72sDRg90t+jWpwRJk4JEl6pMXmlDJzXzzHrxfSuYkZn/Rxx8NSvUdMWcUVTNh+jVPJRbzbzYX3n25BVlbWvTesg5SCcjp8cwFxS9nhCS3wsrp9AMUHTSYOSZIeSZUKwben0/jkWDJ62lp80tudka1s1G4yezW7lLFbr5JaWM7Xz3gx0MdKI81tiyuqeGnzVf5OulnB/eNQb3p6WtxlqwdLJg5Jkh45lzKKeWtPPOfTiunT1ILFvdxwMlN/8qTj1wt4+Y9r6Ghp8dtwH7VaW9VWlUKw+HASa06lKctmd3XhPx0brj9IXcnEIUnSI6OsUsHKv1P58mQKFga6fDXQk2dqeafwe0QWM/fG425pwI9DvXGr55ZTQgi2XM5m6q44ZVk/b0tWDfBssA5890smDkmSHgmnkgt5a0880dmlPOdvzfygJlgbqX+JE0Kw7FgKy0+k0MXNjG+e8brrcCN1cTaliIG3VHzbGutyYKw/tsb1P/S5JsnEIUnSQ62ovIqPjibz/Zl0nMz06lQ/UFapYMaeeLZeyeb5FjYs7e2Gvk79/fpPyi+n1/oICsoVyrI9o/1oaX/7/OQPA5k4JEl6aIXG5TNrXzzX88sZ18aO2d1cMNWvXbPV7OJKJv5xjZNJhbzd1ZnXOzrWWx1DQVkVr/4Zw19x+cqy1QM8eba5db3s/0GRiUOSpIdObmklH4Yk8uvFLLysDJTDb9RWTE4po7dcJaWgvF4v6BVVgmXHk/ni71Rl2WsdHZnZxfmRmHdcJg5Jkh4qO6NzmHMggaziSl7r6Mi0Tk51qlT+O7GACduvoa2lxcbhPnRwuf+WU0IItl3J4bWdscqyrm5mrB3UtEHn6NA0mTgkSXoopBdVMOdAAjujc2lhZ8SPQ5rR0qFudQSbL2Xx1t54mpjrs2FoM7U7BN7Nv3t8G+pq8de4FvXeKqsxkIlDkqRGTQjBbxFZLAhJpKRCweyu1XNf1GXYDyEEy4+nsOx4Cp2amPLtoKb33XIqIa+MIb9GklpYoSzb/LwPT9Xh0dnDQiYOSZIaret5Zby9L4GQ+Hw6upjySR93vK3rNgRHWaWCt/bGs+VyNsNb2PDxfbacyi2tZMaeeHZfzVWWLQ12Y1SALdqNvAPf/ZKJQ5KkRqdKIfj+TDpLjiShRfVQ4mNa29X5gpxTUsnLf1zjRGIhM7s488aTdW85VV6lYOWJVJafSFGWjWltx/uBrhjpPRwd+O6XTBySJDUq0VklvPP7SU4k5NLDw5yPervjYq7+cCH/FptTypitV0nML2dVf08G+9Wt5ZQQgl/PJTN2480Z+No4GrNusDf2Jg9XB777JROHJEmNQkWVYHVYKitOpGCqr8vKpz0Y6md9X30qwpIKGb/tKgAbh/nQ0bVuLafCkgoZ/GukStne0X60eEg78N0vmTgkSXrgwtOKmL4nnssZJTzjY8Xq4a3RLi24r31uu5zNtD1xuJjr8+MQbzzrMDz5jX4ecbllyrLvn21Kn6YWjX4gQk2SiUOSpAempELBZ8eTWXMqDTtjPb4b1JR+zSyxNTUgs46JQwjB53+n8snRZJ5yNWXtoKa1GrMKqnuTv3sggR1ROcqy2V1dmFnCLZ8AACAASURBVNPPn7yc7DrF9SiRiUOSpAfi+PUC3tobT1xuGaNa2TKnu8t9T8daXqVg1r4Efo/IYqifNZ/2cVdrLvEbSisVrD6ZyrLjNyu+hzS3ZmGvJlga6qJXj+NXPcwaJHGsXr2aM2fOYGFhwbJlywD47bffOHDgAObm5gCMHDmSJ554AoCtW7dy8OBBtLW1GT9+PG3atAHg3LlzrFu3DoVCQa9evRg8eHBDhC9JUj0qKKti0eFEfjyfibuFPhuHN6Orm/l97ze3tLrl1PHrhczo5MS0Tk5qP05SCMHWfw113tTKgB+GeDfKGfgetAZJHEFBQfTr149Vq1aplA8YMIBBgwaplCUmJnLs2DE+++wzcnJy+PDDD/n8888B+O6775g7dy42NjbMnj2b9u3b4+rq2hBvQZKkerA/Jo939sWTVlTBpHb2zOriUi9NWONzyxi9JZrr+eWsfNqD5/xt1N72aEIBI36PUin7fYQPnZs8uh347leDJA5/f3/S09PVWjcsLIzOnTujp6eHvb09jo6OXL1a3SrC0dERBwcHADp37kxYWJhMHJL0EMgqrmDeX4lsvZKNr40h3wxqyhNOJvWy77CkQiZsv4ZCCH4Z1kztHtvRWSVM/jOGK5mlyrJlfdwZ0dLmke/Ad7/umTjy8vI4f/48cXFxFBcXY2xsjIeHBwEBAVhaWt7Xwffs2UNoaCheXl6MGTMGU1NTsrOzadasmXIda2trsrOrK6NsbG7+irCxsSE6OvqO+92/fz/79+8HYOnSpdja2tYpPl1d3TpvqykyJvU0xpigccalyZiEEPx2PpXpf14mr7SS93o1ZVaQF/r3qHdQN6bfw1OYuCkaVwtDto19Ah+7eyejtIIyZv7vChvP3xy5dkZ3D+b0aoqJ/t0viY/b51fjMWtakJiYyMaNG4mIiMDLywsXFxcsLS0pKSkhNDSUH374gRYtWvD888/X6Vd/nz59GDZsGAAbN25kw4YNTJkype7v5BbBwcEEBwcrX2dmZtZpP7a2tnXeVlNkTOppjDFB44xLUzElF5Qze38C+2PyaOtozMZhzWhua0R+7r1bJd0rJiEEX5xM5aMjyXR0MeW7QU2x1iohM7Okxm2KK6r4KiyNz26p+O7pWd3B0NlMn5L8XGreWr24HgRNxeTs7FzjshoTx+rVqxk0aBBTp05FT+/2XpEVFRWcOnWKr776ikWLFtU6qFvvVnr16sVHH30EVN9hZGVlKZdlZ2djbV3d0/PW8qysLGW5JEmNh0IIfgrPZGFoIpUKwbwgVya2tUennuahKK9S8M6+BDZGZDGkuTXL+t695VSVQrDpUhbT98Qry+xNdPlhsDetHevncdnjpsbEsXjx4rtuqKenR6dOnejUqVOdDpyTk4OVlRUAJ0+epEmTJgC0b9+elStXMnDgQHJyckhJScHb2xshBCkpKaSnp2Ntbc2xY8eYOnVqnY4tSZJmxOSUMmtvPMcTC+niZsYnvd1xr4chy2/IK63klR0xHE0oYNpTTszofPeWUyFx+YzZGk3lzRlbWTvIi6e9LR/rDnz3S63K8bi4OExNTVWeo2VmZlJYWIiHh8c9t1+xYgWXLl2ioKCAyZMnM2LECCIiIoiLi0NLSws7OzsmTZoEQJMmTejUqRPTp09HW1ubiRMnoq1d/WtiwoQJLFq0CIVCQY8ePZTJRpKkB6tSIVh7Oo1PjyWjr6PNp33ceaGlTb1enBPyyhjzTy/uFf08GN6i5pZTlzKKmb47ngvpxcqy9wJdGd/Grlb9OqQ7UytxfPHFF8yaNUulrLKyki+//JJPP/30ntu/+eabt5X17NmzxvWHDh3K0KFDbyt/4oknlH09JElqHCLSi3lrbzzhacX0bWrB4mA3HE3rPijhnZxOLmT8tmtUCcHPw5rV2FQ2paCcRaFJbL1ysx5lVIAt73RxwdpY9neuL2qdyczMTGUz2BscHR3JyMjQSFCSJDV+ZZUKPv87hVUnU7E01GXNQC8G+tT/I6A/o3J4Y1csDiZ6bBja7I7zcRSWV7E6LJXPT9xsKdXe2YRlfTzwtpEd+OqbWonD2tqamJgYvLy8lGUxMTHKOgpJkh4vYUmFzNwbT3R2KcP8rZkX1KTW40HdixCC1WFpLD6cRHtnE75/tik2xqoNdSoVgp8vZDJ7f4KyzERPm28HNaW7x/33RpfuTK1PesCAAXzyyScMGjQIBwcH0tLS2LFjxx0fJ0mS9OgqKq/ioyPJfH82HWczff471Jsenhb1fpyKf8ac+vlCJoN8rVjezwPDW+omhBDsj8njtZ2xFJbfrPn+uLcbL7S0rbcWXNKdqZU4goODMTEx4eDBg2RlZWFjY8OYMWN46qmnNB2fJEmNREhcPrP2xZOYX874Nna8080FU32dej9OflkVo384w8GrWUx90pGZXZxVenKHpxUxe38C51JvVny/1tGR15901Eg80u3Uvre8n6a3kiQ9vHJKKlkQkshvEVk0tTJg6/O+dZ4Q6V6u55UxZutVYnLK+KyvO8+3vNmSMzG/jCWHk9h25eZQ5wN8LHk/0BVX8/pr8ivdm1qJQwjBgQMHOHbsGPn5+Xz66adcunSJ3NxcOnfurOkYJUl6QP4XlcOcAwlkl1Ty+pOOvPmUk8ojo/p0NqWI8duuUl4l+HNCO1pZCKC678aXJ1NZHZamXNfXxpBP+rjTzlkzCUy6O7USx8aNG7lw4QL9+/dn7dq1QPVYUevXr5eJQ5IeQWmFFcw9mMDO6Fxa2hvx3+ea0VKD06T+LyqHqbtisTfR4/cR3nRqakNyWjo/ns/k/b+uK9fT1oIv+3syyNdKduB7gNRKHCEhIXz00UeYm5vz7bffAmBvb6/2iLeSJD0chBD8FpHFB4cSKa1U8G43F/6vvQO6GqpsFkKw5lQai0KTaOtkwrrBTbEx0mXrxVQmb75IbmmVct3ZXV14uZ29xu54JPWplTgUCgWGhqptoUtLS28rkyTp4ZWQV8bb++IJjS/gSRdTPu7jfsc+E/Wlokow52ACP4VnMtDHihX9PIjIKGbs1qsqFd+jAmyZ2dkZO5Pbx8yTHgy1Ekfbtm3ZsGEDY8eOBap/JWzcuJF27dppNDhJkjSvSiH49kwaSw8no60Fi3u5Mbq1rUbnpMgvq2LyjhhC4vN5raMjL7S04Y3dsfwvKle5Thc3Mz4IaoKfnZHG4pDqRq3EMWbMGFatWsW4ceOorKxkzJgxBAQE8Nprr2k6PkmSNCgqq4TZv5/kREIuPT3NWRrsjot5/Q4X8m9J+eWM2RrN1exS5nZ3IbWwgq7fRyiXO5vpsXpoK9rbIOsxGim1EoexsTEzZ84kLy+PjIwMbG1t73sSJ0mSHpzyKgWrw9L4/EQKZga6fNHfgyHNrTV+oT6fWsS4bVfJK62iq5s5C0OTVJYv6tWEUa3scHKwa3TzXkg3qZU48vPz0dfXx8LCAjMzM0JCQtDW1qZbt27KkWslSXo4nE8tYsbeeC5nlPCsrxVfDmuNdmmBxo+7OzqX/+yMobSyupntobh85bLJ7R2Y+qQjFoZyIMKHgVqf0tKlS3nllVfw9PTkl19+4fTp0+jo6BAbG8u4ceM0HKIkSfWhpELBp8eS+eZ0GvYmeqx7til9vC2xNTUgU4OJQwjBN6fTWRCSeNuy/s0smdPdFY96nLND0jy1EkdKSopy3o3Dhw+zcOFCDA0NmT59ukwckvQQOHa9gJl744nLLWNUgC1zu7tibqD54TkqFYKRm6I5dl01MbWyN+aDHq486Xrn4dGlxk2txKGtrU1lZSUpKSkYGxtja2uLQqGgtLRU0/FJknQf8suqWBSayH/DM/GwNOC34T50cWuYi3VcbhldvruoUmZpqMMHPZow1M9ao622JM1SK3G0adOG5cuXU1BQoOwpnpiYKOf8lqRGbO+1XGbvTyC9qIL/a+fAzC7OGOlpvk6ypELBByHX+fG8auX2W52dmdzeoUFikDRLrcQxefJkQkJC0NHRITAwEICCggKGDx+u0eAkSaq9rOIK3v/rOtuu5OBna8R3zzaljaOJxo9bpRBsvpzNtN1xKuXPt7BhVlfnep8VUHpw1Eocenp6BAcHq5S1aNFCIwFJklQ3Qgi2XcnhvYMJFJYreKuzM//p6IC+juZ/4YfG5/NhSCKXMkqUZdZGuvzyXDNaOmhujCvpwajxG7V+/Xpyc3NrWgxAbm4u69evr/egJEmqnaT8csZuu8ZrO2PxsDJkz2g/pnVy0njSuJJZwkuboxm5KVolaSwNdiP81QCZNB5RNd5xODs7M3v2bFxdXfHz88PZ2RkjIyNKSkpISUnh0qVLJCcny1kAJekBUgjBf8MzWRSaSJUC5ge5MqGtvcZnwEstLOfTo8n8cjHrtmWX/tNa9sd4xNX46fbu3ZsePXpw6tQpzp49S1hYGMXFxZiYmODm5kbv3r1p164dOjpyxi1JehCuZZcya188JxIL6eZmxsd93HGz0Gx/iKLyKtacqu5xXiVUlz3fwoZP+rjLaVsfA3f9WaCrq8tTTz0lp4iVpEakUiH45lQay44nY6CjzWd93RnRwkajw4VUKgQbL2byydFkMoorb1u+JNiNMa3tNHZ8qXGR95OS9BCJSC9mxp54LqQX87S3JYt6ueFgqrnhxoUQHIzNZ2FoIlFZt/fbMtXXZs1AL3p4WmgsBqnxkYlDkh4CpZUKPj+RwuqwVCwNdfn6GS8GNLPU6F3GxbRiFoQmcjThZq9vexNd2jubcjA2D2sjXdYP8cbfTlaAP25k4pCkRi4sqZC39sZzNbuU4S1smBfoipWR5v50k/LL+ehoEpsvZSvLdLTg9SedMNTV4uOjybS0N+aHwd4avduRGi+ZOCSpkSoqr2LpkSTWnc3AxVyfn57zJshDc4+E8suqWHUyla9PpVGhuFnzPdTPmlldnFl7Op0VJ9Lp29SCLwd4YqwnG8Y8rtROHElJSRw/fpzc3FxefvllkpKSqKysxN3dXZPxSdJj6VBcHm/vSyApv5zxbe14p6sLJvqauVBXVCn44Ww6y46nkF1ys+K7g7MJ84Ka4GNjyH/+F8u+mDxeaWfPe91dZcupx5xavYOOHz/OvHnzyM7O5vDhw0D1nOMbNmzQaHCS9LjJKankzd1xjNp8FUNdbba+4MuHPd00kjSEEOyOzqXtiqPMOXhdmTTcLPT5+hkvtr7gi5OZHkM3RnIgNo9FPZswP6iJTBqSenccv/32G3PnzsXDw4Pjx48D4O7uTlxcnCZjk6THyp9ROcw5kEBuaSVTn3TkjaecMNTVTM/vMylFfBiSyMmkQmWZmb42bzzlxPi29hjqahORXszYrVfJL6vih8He9PKSLaekamoljry8vNseSWlpacn5gCWpHqQVVjDnQAK7rubSyt6Yn55rRkt7zbRUis8tY+mRJP6IzFEpH9Pajrc6O2FjXF3ZfSAmj1f/jMHMQIctL/hqLB7p4aRW4vDy8iI0NFQ5Mi7A0aNH8fb21lhgkvSoE0Kw8WIWC0ISKatSMKebC5PaO6CrgUdBOSWVrPw7hXVnM1Qqvnt6mrPs2VbY69zso/HDuXTeO3gdfzsjfhjsjZOZHNVWUqVW4hg/fjwLFy7k4MGDlJWVsWjRIpKTk5k7d66m45OkR1J8bhlv74vncEIBT7ma8nFvd5paG9b7ccoqFfxwLoOVf6eQW1qlLPe1MeT9IFeCPCywtTUlM7OUKoXgw9BE1p5OJ9jLgtUDPDVWIS893NRKHC4uLqxYsYLTp0/Trl07bGxsaNeuHYaG9f9Fl6RHWZVCsPZ0Gh8dSUZHu3qojpcCbOt9NjwhBH9E5rD0SBIJeeXKchsjXWZ2cWZkK1uVO5viiipe+18se67lMbGtPfOCZMspqWZqN8c1MDBQzv4nSVLtRWWV8M5vf/P39Tx6eVmwpJcbLub1/xjoZGIhC0ITOZtSpCzT19HilSfsee1Jp9vmGk/JL+O5jVFcTC9mQY8mTHzCvt5jkh4taiWOzMxMfv/9d+Li4m6bZ/zzzz/XSGCS9Kgor1Kw6mQqn59IxdxQly/7ezK4uVW9Ny65ll3KksNJ7LqqOo/OMz5WvNvd5Y4j517OKGH89giyisv5/tmm9G5qWa8xSY8mtRLHZ599hrOzMyNGjEBfX1aUSZK6zqUWMWNPHFcySxnc3Iovn2uDVml+vR4jq7iC5cdT+DE8g0rFzfK2jsbMC2pCBxfTO273V2wek/+MwdxQj63P+8pJlyS1qZU4kpKSWLhwIdradWtTvnr1as6cOYOFhQXLli0DoLCwkOXLl5ORkYGdnR3Tpk3D1NQUIQTr1q3j7NmzGBgYMGXKFLy8vAA4dOgQW7ZsAWDo0KEEBQXVKR5J0rSSCgWfHE1m7Zk07E30WDe4KX2aWmJrqk/m7YPM1vkY351J58uTKRSU38wYzmZ6vNvNlWebW9VYd7LhfAZzDyTga2vEjokdMawovON6knQnamWCdu3acenSpTofJCgoiHfffVelbNu2bbRq1YqVK1fSqlUrtm3bBsDZs2dJTU1l5cqVTJo0iW+//RaoTjSbNm1i8eLFLF68mE2bNlFYKL/sUuNzNKGA4A2X+Pp0Gi+2suWvcS3oU4+PgBRCsOlSFt3XXWTJkSRl0jDW02ZWF2dCx7dkiJ/1HZOGQggWHEpk9v4EAj3M2fqCL64WspGLVDtq3XFMmDCBuXPn4uDggIWFau/RKVOm3HN7f39/0tPTVcrCwsKYP38+AIGBgcyfP5+XXnqJU6dO0b17d7S0tPDx8aGoqIicnBwiIiIICAjA1LT6tjsgIIBz587RtWtXdd6CJGlcflkVC0MT+Sk8Ew9LA34f4UPnJmb1eowjCfl8GJLIxfSb83trASNb2TKzizP2JjWPVltSoeD1nbHsuprLuDZ2fNCjiUb6jEiPPrUSx+rVq9HW1sbFxaXe6jjy8vKwsrICwNLSkry8PACys7OxtbVVrmdjY0N2djbZ2dnY2Ngoy62trcnOzuZO9u/fz/79+wFYunSpyv5qQ1dXt87baoqMST0NHdOOS+lM3X6Z1IIypnf34L1e3hjfoQ9EXeO6nFbI7F1R7IrMUCkPamrNJwN8CXAyv+v2qQVlvLDxDKeT8vl0YHNe6+ymrJyXn5/6GmNcDyImtRLHxYsX+frrrzEyMtJIEPU9fElwcDDBwcHK15mZmXXaj62tbZ231RQZk3oaKqbM4greO3idPyJz8LM14tsXm9Pa0YTi/ByK6yGu9KIKPj2WzC8XMrmlwzdNrQx4L9CVYC8LtLTK77rPK5kljNlyleySSr4b1JS+3iZkZWXVOaaG0BhjgsYZl6ZicnZ2rnGZWonD3d2dgoKCek0cFhYW5OTkYGVlRU5ODubm1b+YrK2tVU5CVlYW1tbWWFtbq9SzZGdn4+/vX2/xSFJtCCHYeiWb9w9ep6hCwcwuzkzp4IC+Tv0MSlhcUcXXp9JYHZZGccXNim9LQx1mdHJmdGs79HTu/WMrNC6fSTuuYaSnzZYXfAhwMKmX+KTHm1qJo0WLFixatIigoKDb6jh69uxZpwO3b9+ekJAQBg8eTEhICB06dFCW7969my5duhAdHY2xsTFWVla0adOGX375RVkhfv78eV588cU6HVuS7kdSfjnv7I/nYGw+TziZsKyvOz429fOjqkoh+C0ii0+OJpNWVKEs19PWYlxbO958yglLQ/X67f4UnsHs/Qn42Bixfoi3RjobSo8ntb6BkZGRWFtbEx4eftsydRLHihUruHTpEgUFBUyePJkRI0YwePBgli9fzsGDB5XNcQHatm3LmTNnmDp1Kvr6+srKd1NTU5577jlmz54NwLBhw5QV5ZLUEBRCsOF8BotDk1AIWNCjCePa2NXL0BxCCA7F5bMwNJEr/2qv+7S3Je92d8HLSr3WTwohWHI4idVhafTwMOergV6YGcgxp6T6oyWEEPde7eGWnJxcp+0ep+eZ9+NxiOladikz98bzd1Ih3d3N+Ki3+x17YtclrovpxSwMSeRwQoFKeUt7I+YFNalVy6ySCgVTd8WyMzqX0a1tWdjT7Z4tpx6Hz6++NMa4GlUdhxBCWWGtUChqWq3OnQIl6WFQqRB8fSqNZceSMdTV5rO+7oxoYVMvjTmSC8r55Ggyv0dkceuvN0dTPd7u6sIw/zv3xahJRlEF47df41xKEe8HujKpnb2cM0fSiBoTx7hx41i/fj0AI0eOrHEHGzdurP+oJKkRuJhezFt74rmQXkz/ZpYs7OmGg2nN/STUVVBWxeqwVL45nUZp5c2UYairxZQOjrzawQFjvdo9WorKqm45lVFcwdpBXjzdzOq+45SkmtSYOG4MDQLw5ZdfNkgwktQYlFYqWHEihdUnU7E20uWbZ7wY4HP/F+KKKsHXJxL4YG80Wf/M733D8BY2vN3FuU6TJoXG5/N/O2Iw0NFi8/O+tHGULackzaoxcdzaoeT48eMMGjTotnX+/PNPBg4cqJnIJOkBCEsqZMaeOK7llPF8CxveC3TFykjt2QfuSAjBvmt5LAxN5FpOmcqyp1xNmRfkWudmsr9cyOSd/fE0tTJkw1BvXM1rX+8iSbWl1l/E5s2b75g4Nm/eLBOH9EgoLK9i6eEkfjiXgYu5Pj8/14xAj7v3xlbHudQiPgxJ5ESi6rhq/nZGvNXZmT5NLepUD6EQgo+OJPPlyVQC3c1Z84zXbfNsSJKm3DVxXLx4EaiuHL/x/zekpaVprCe5JDWkv2LzeHtfAskF5Uxoa8/bXZ3ve8rU63llfHQkma1XVIfFCXAy440O9vTxtqjzrH8lFQre3B3Hn1E5jAqwZVFPN7U6A0pSfblr4vjqq68AKC8vV/4/VA8RYmlpyYQJEzQbnSRpUHZJJR8cus6mS9l4Wxuy9QXfGueuUFdeaSVf/F1d8V11S1MpfzsjZnRy5sUnm5KdnVXzDu4hs7iC8duucSaliPe6u/B/7R1kyympwd01caxatQqorhx/7bXXGiQgSdI0IQR/RuUy92ACuaWVvPmUE1OfdMRAt+5Ny8urFGw4n8GyYynkl1Upy/3tjJjeyYm+3pZoa2mhfR+dBaOzShiz9SrpRRX1VmEvSXWhVh3HrUnj3306ZD8O6WGSWljOnAPX2X01lwAHY35+rhkt7Os+850Qgv9F57IwJJHr+eXKcj87I2bckjDu15GEfCb9EYOejha/j/DlCSfZckp6cNRKHDExMXz33XckJCRQXl6uskz245AeBkIIfr2YxYKQRMqrFMzt7sIr7Rzuaz6KsKRCPjh0nbOpN8fBre+EAbDxYiaz9sXjZWXIhiHeNKlDj3VJqk9qJY5Vq1bRrl07Xn31VQwM5JdWerjE55Yxc188RxMK6ORqysd93NUe9+lOYnNKWRiaxO6rucoyXxtDZnZxrteEoRCCT44ms/LvVLq6mfHNM15YqDnAoSRpklrfwszMTEaOHCkr4aSHSpVC8N3ZdD46koSuthZLg90YFWBb5wt7dnEly44n88O5m5MpeVgaMKe7C/3qMWFAdSfE6bvj2B6Zw8iWNiwJdpctp6RGQ63E0aFDB86fP0+bNm00HY8k1YuI1AIm/hbJ2ZQienlZsDTYDec69MqG6ov42tNpLD1yc7BMW2NdlgS71XvCAMgqrmDC9mucSi7i3W4uTOkgW05JjYtaiaOiooJPP/2U5s2bY2lpqbJMtraSGpPyKgVf/p3KypOpmOnrsKq/J882t6pzJ7vNl7J5c3ecskxHC9Y846WRhAFwNbuUsVuvklJQzpqBXjzjK1tOSY2PWonD1dUVV1dXTcciSfflbEoRb+2N40pmKS+0duLdznbYGNdtUMLD8fm8sClapWztIM0lDIBj1wt45Y9r6Ghp8dsIH9o7y/lmpLorKq8it7RKIxN4qZU4hg8fXu8HlqT6UlKh4OOjSXx7Jh17Ez1+GNyUkU9612mOgsjMEnquv6RStmagFwN8NJcwAH6PyGLm3njcLQ3YMMQbd0vZCEW6t7JKBZfTCjkdk0tsbikxOWXE5lT/N62ogg7OJmwb2bzej6tW4vj3cCO3atmyZb0FI0m1dSQhn1l744nPK2d0a1vmdHOt02x3qYXlBK2LoKD8Zj+llU97MMSvdnNi1JYQgmXHUlh+IoUu/7ScUndqWOnxUKkQXM8rIza3jJicUmJzbv43Mb9cZS4XGyNdPK0MCPQwx9PKAH+7uvdRuhu1vqG3DjcCkJ+fT2VlJTY2NnLIdemByCutZGFoEj9fyMTD0oBNI3zoVIuZ8m4oLK9i4E9XiM6+OV3rkmA3XrqP1lfqKqtUMGNPPFuvZPN8CxuW9nZDX0d2qH0cKYQgpaCiOiH8K0Ek5JVReUu/azN9bbysDGnnbMLwFjYENLHFTq8CT0uDBmuurXY/jlspFAo2b94sBzmUHog9V3OZvT+BjOIKpnRwYHonZ4z0anfBragSjN4SrTJd6ztdnflPR0eNJwyonq1v0o4YTiYV8nZXZ17v6ChbTj3ihBBkFlfevGO4JUHE5pbeNqmXp5UhzW2N6N/MCi8rAzwtDfGyNsDGSFflu/IgprOtU3rS1tZm6NChTJ48WQ6rLjWYzOIK3jt4nT8ic/CzM2Ld4Ka0ruWkRVUKwVt74/kt4uZAgxOfsGd+kGuDJIzckgo+PprE2tPpVCkEqwd48mxza40fV2o4uaWVymQQk12mUvdw66NQPW0t3Cz08bIypJu7GV5WhnhaGeBlZYijqV6DfB/rqs73NeHh4XKcKqlBCCHYfDmbeX9dp7hCwawuzkzp4FirDnFVCsHHR6vnr7hhgI8lXw3wQuc+hh1RV0mFgu/PpvPVqfPklFTyjI8VM7s409S67j3YpQenuKLqnzuHstsqpbNvmd1RC2hioY+npSHt/G3wtDKsvnuwMsTVXP++hrx5kNRKHK+++qrK6/LycsrLy5k4caJGgpKkqkKJbgAAIABJREFUG5Lyy3l7Xzx/xeXTzsmEZX3daWaj/iPSKoVg7ek0PgxNUpa1czJh43CfWj/eqovyKgU/X8jk8xMppBdV0s/Xlmkd7GjpoJlKS6n+lFUqSMgrU0kKiUUxRKYXklpYobKuo6kenlYGPO1tqUwMXlYGuFkY3Neoy42VWonj9ddfV3ltYGCAk5MTxsbyyy9phkIINpzLYPHhJATwYY8mjG1jp/bdQZVC8N/wDN7el6AsczHTZ/doP6zvcypYdY+/9Uo2y44lk5BXzpMupnw90IX+bTwa/Hm0VLNKhSAxv1yZGJT/zS0lMb8cxS1NlqyNdPGxM6WbuzmelgbKR0uelgb3PfHXw0atvyB/f//byhISEti0aRPTp0+v96Ckx9vV7FJm7o3nZFIhge7mfNTbTe0RYW9csN/YdVpZpq0FoeNb4HkfAxuqSwjBnqt5fHw0icisUlraG/Hfod4EeZjLyu8HRCEEqYUVtzVlrW6xVE7FLdnB9J8WS20dTXjOz0ZZ5+BpZYCloe4DqYhujO6aOMrKyti6dStxcXE4OTkxfPhwCgoK2LBhA+Hh4QQGBjZUnNJjoKJK8PWpND47noyRnjbL+3kw3N9arQtulUKwIzKH/+yMVSnfPtK3wXpgh8bn89GRJM6lFtPUyqBBOg5K1YQQZJXcbLEUc0vLpdic21sseVga4GtrRD9vS5VKaVtj3Yc6wacVVhCeVsSFtGIupBcT5GHB2DZ29X6cuyaO7777jtjYWFq3bs25c+dISEggOTmZwMBA/u///g9zc/N6D0h6PF1MK2b6njgiMkoY4GPJwp5u2Jvce7iQKoXgz6gcpvxPNWFsHNWGLg7aDXIROJ1cyEdHkzmaUICzmR7L+rgzrIXNQ1vx2ZjllVb+kwz+1Rkut0xl5kVdbXCzqK5r6OpmVt2U9Z/k4GTWuFssqSu1sJzwtGKuncvlRGwmF9KKSSu6WffiaKpHby/Lu+yh7u6aOM6fP8/HH3+MhYUFTz/9/+2dd3hc5ZX/P9P7jKapS5bkXpGNDbhb2EBCEkIISwLhl5gNsBsbWEgImE2yYQMkDtUhmIVNspiQDQnJBliWJIAxNriBC25ytyRbtuqMRqPp7d7fHzMaaVSMZKva9/M8eqSp9+i9M+/3vuec95zPs2LFCh5++GEmT548KMZIXHyE4wLPbKvnP3Y0YNcr+dV1ZVw7/rML+7ULxv3vniQY60hx/ElFEd+8xElejnPQXQqHmkM8vuUM757wYtcp+UlFEbfOcFyQwdChJBQT2F/vY1e1p1vswd0lY6nArKbMquErk2yU2TRpgSiyaC4Y4RZTrrb9jUH2NQbZ1xRkf2OApkA843lKOcwtNFJRaqGi1Mxkh27QLpzOKhzhcBiLxQKA3W5Hq9VKoiExYHxy2s/33q2hyhPh69Ps/Ghx4WeW22gXjJ9sOp2R2bJiTg53X56H+RzKjfSXmtYIT22t4/VDLZg0Ch6Yn8/ts7IvugDp+RBNCJxqjVLVJZW12hOmvkvGUo5BRZlVwzXjsjKC0mOyNGgvMJEWRZH6ziKRcjs1B+M9Pj/PqOLzk3OYl6dmQbH5nMrtnAtn/ZYmEoludaq63pZqVUn0F380wc8+OsO6Pc0UmdW8euN4Fo05u9uzXTCe2FpHtSeSvv+GyTZWLSgYlAqgXan3RfnFx/W8ut+FUi5jxZwcvjMnF+sQZGmNRhKCyBlftMegdG2XjCWrVkGpVcv8YhOlVi3lxU4ciiglVg3GC1SQ20ViX0OQfU2BtFi4ehEJSG4avKzQSEWJmYpSCxPtWpzOwV9dd+Wsn3iLxZJRp8poNGbclslkUq0qiX6xodrLg++dpN4X4/ZZ2TwwP/+sV+rtgvHMtvqMelJzi4z8eHER04dgP0RLKM7aTxpYt6eJhAC3znByz+V55BjPrWT7hUS7G6WnAnwnvRGiiQ51MKiSGUuX5Br4SueMpSxNN/G90LKXRFGkzpdaSfQgEnIZjMnSoJLLUCtkGeNWYFJTUWrmylIL84tNI0JIzyocXWtUSUicKy2hOA9vrOV/DrYwwa7ljZvLzprt1C4Ya7bXc9TdIRjjbFr+bXEhV5YOfnqrP5rgV7saeWFnI4GowFen2PjevHyK+5gafKEgiiKeUIITPRTgq2mNZMSYNIpkxtI4m5arxloyMpacozxjqa+0i8S+xgD7GoNpkWiPzyhkMMGu48pSC1atElcoRqM/xq66AKG4gFohY2GxiYpSC1eWmhln0464cZPW2BKDiiiKvHXUww/fr8UbiXPfFXncfXlurwHk3gTDoVfywPx8vjbNMehBz3Bc4Ld7m/nlxw20hOJ8flwW35+fz0THhV3U0xdJ9FhfqcoTwdspY0khg+Ks5Ma3eUWmtDCUWTXkm9QXRMZSXxHFpDtuX0oc2kWipbNIOHQsK7MwI0fPBIeOtnCCrad9bKz2ciLldi22qLlpqp2KUjPzikwjPl4mCYfEoNHgj/Kv60/xzgkvl+To+cM143vtDyCIyX0YXQVDq5SxYk4u/zw7Z9C/THFB5LUDbp7eVke9P8aiMSYeXFBAeT8LKY5kQjGBmtbMAny1/hMcbfJnBGBlQL4pmbH05Um2jDIaRWZNv+qEXSiIoshJT4iNRz1pkdjf1CESSnlyJXH1WAvTc/TMyDEw2aGjwR9lY00b71d7eeTD04TjIhqFjLlFJr5Z7mRJiYWxVs2IW1WcDUk4JAYcURR5db+bRz48TTQh8KNFBdx+aU6PKwVB7IhhdBYMgFumO/jevDxyjYMb+G4XrfbA+6w8A7/4fCnzi/vf32MkEE0InPJGM8pntK8e6nyZGUvZBiUTnCaWlVkyCvCNsWiGpJbXSEUUk6VIMlcSATzh5MpLKYeJdh3XjLUwPcfAjBw9k506tEo5oZjAttM+Xj/k5u7qNmpak6uKkiwNt0x3sKTEwrwi06geX0k4JAaUmtYI33/3JFtrfcwtMvLEVWN6LPVxNsG4stTMDxYVMmmQXUOiKPJ+dXK398HmEJMdyVLtV5VZRvzVX0IQqfNFu9VXqvJEqPVG6BRbJSuVsXRFoSntUiqzainJ0mDSKC64QHR/EUWR2pRItAvEvsYgrV1E4vPjrcwdm02ZQWCSQ5dOBRZFkSpPhN/ta+aD6ja2n/YRjotolTLmFZn49sxsKkrNQ1LyZqiQhENiQEgIIr/e3cTjW86gkst4/Kpibp7evYteu2Cs2VbPkS6CMcWp40eLCz8zNXcg2H7ax+qPzrCjLkBJlobnri3ly5OsI8o/L4oijYFYj7uka1ozM5b0KjmlWRqmZ+u5bqI1Iyg9FEUdRwuiKHLK2y4SqeB1U4dIqOQyJjq0XDvemnI36TNEol1kg7EE751o5YPqNjbWeDnpjQJQZtXwjRlOriw1c3nB6F5VnA3pEyVx3lQ2+Pj2Hw/zaUOQq8os/GxZMXmmTPdSV8Ho7LXKNap4cEEBX51sG/TeGPsaA/x8cx0ba9rINapYvayYr09zDKvPviUU73GvQ3UPGUtjUhvglpZaMgrw5RhUI36VNNSIoshJbzS9iW5fY5ADXURikkPHF7qIRE+JG6IocrwlzO8O1fB2ZR3bT/uJJkR0Sjnzi03cOTuHihILY7Iujoy7YReOlStXotVqkcvlKBQKVq9ejd/v55lnnqG5uRmn08l9992H0WhEFEVeeuklPv30UzQaDStWrKCsrGy4/4WLlkhc4LlPGvjlJw2Y1Aqe/0Ip1020Zkxggijy9tFWntlWxxF3GKtWQZZWgTecwKiWs/KyXO6YlTPoV2bH3CGe2FrH20dbydIq+NGiAr5Vnj3kV4SxhMC2Wh/vnfDySZ2fak84PZFBMgunyKKhzKrhiiITZZ12Sueb1EPSdGo00i4SextSItEU5EBjMJ0NppLLmOzU8YUJVmakRGKivWeRaCcQTbDllI8NNV4+qG7jdFtyVTHepmV5uZOKEguXFRovuN3rfWHYhQPgxz/+cUbBxDfeeIPp06dz/fXX88Ybb/DGG29w66238umnn9LQ0MCzzz7LsWPH+PWvf81Pf/rTYbT84mV3fYD736nhiDvMzeV5/OvcbGz6jo9TV8EoNKuZ7NBx0hshEhf45iVOvjsvD4d+cDfRnW6L8PTWev500I1OKee7c/O489KcISvNAMkVxcYaL+tPeNl0ci+t4ThqhYxL8wx8qd2tlBKIIosateLim4j6gyiK1LRGOmISXURCrZAx2aHjSxPbRcLARIf2M8dVFEWOusN8UO1lQ00bn5z2ExNE9Co5C4pNrLwslxtmlWBMBIbi3xzRjAjh6MqOHTt4+OGHAVi8eDEPP/wwt956Kzt37mTRokXIZDImTJhAIBDA4/FgtX52UTyJgSEYS/D4ljp+vauJXKOKl78yjq9fNjYdXO0qGGVWDUtKzBxqDnHIFeKasRb+dWEh4+yDGyhs9EX49w21vLKvGRlw+6xs7rosF/sgCxV0TEDrq7ysr/Kys86PIIJTr+T6aTksyNewcIx5ROwAHukIKZHoqN2UdDe19SASl6Symyb0QSTa8UUSbD7VxgfVbXxQ401nnU20a/n2rGRQ+7ICY/r9HFYdLpckHCNCOB577DEArrrqKpYtW4bX602LQVZWFl6vF4CWlhYcDkf6dXa7nZaWlm7CsX79etavXw/A6tWrM17TH5RK5Tm/drAYTps2HHfznb8cocYT4s7Li3jscxMwa5UolUpsNjuvVzby6PsnONjoZ6LTwPLZBew87WVjTRuzC8389zfKWVhqG1QbW0Mxnv6whl9u2UMkIfCtSwv4wdKxFFoGV6gicYEPq1p4+3Azfz3czElPCIDyfBMPVYzl2klOZhWYUatVxOO91yIaDkbK51wQRI67g3x6po09O46y63Qrn57x0RZJjpdGKWd6rpGvleczq8DMrAIzU7KNqPvhKhJFkQMNft452sy7R11sqWklLoiYNAquHGfnmgkOrp7goCir54y+kTJWnRkOm4ZdOB555BFsNhter5dHH32U/Pz8jMdlMlm/g37Lli1j2bJl6dvnmmo4EtMUh8MmbzjOI5tO8+oBN6VWDf/ztQlcUWgi6m+l2Sey0w0PvX2IQ64Q42xa7r48l30NQdbtPEOhWc3aa0u5bpIVuUwYNNuDsQT/tbuZ53c04I0k+Noludx1qZ0yqxZiflwu/4AfsykQY0NqVbHpZBvBmIBWKWNhsZkVs50sLbV0ShKI0dLilj5TKYRUCmt7+uv+1ErCF00mA2iUcqY4tFw/Kelump6KSWQmMURpa235zGO1RRJ8eLKNjdVePqhpS1dVnuzU8U+XZrOk1MLsfEPHKiUe6HVVcTGdv65zcWeGXThstuQVqMViYc6cORw/fhyLxZJ2QXk8nnT8w2azZQyQ2+1Ov15icPj7sVb+9f1TuIIxVs7J4b65+emA8p6GAI9+eJpttX7GWNT8aHEhR10h1qaC5T9aVMDymdmDGjyMJgR+v8/Fmu31NAfjLCuz8MD8fBZPKR7wL5MoihxoCrG+qpX1VV72NAQByDepuHGKnWVlo39j12DQWST2dhIJf0oktEoZk516bphsT4vEvImFeD2fLQo9IYoilc0hPqhOBrV31vlJiGDWKFg4xkRFiYUlJeZumX8SfWdYhSMcDiOKIjqdjnA4zL59+7jxxhuZPXs2mzZt4vrrr2fTpk3MmTMHgNmzZ/P3v/+d+fPnc+zYMfR6vRTfGCSaAzF+uKGW/zvqYYpTx7qvjGVGTrL0RrUnzM831/HWUQ92nZJHrxlPY6uPJ7fUERdE/nFmNv9yRd6g7h9ICCL/c6iFp7fWUdsWZW6hkV9dV8CcgoFtExuKCXx0qo31VV7er/LS4I8hA2bmGXhgfj7LyixMcQ5ew5zRhiCKVLVE2NfUUeCvq0hMceq5cUqHSIy3dV1JgKqfCQKt4TgfnmxL76tob3I0LVvHd+bkcmWpmVl5xouyVMpgMKzC4fV6efLJJ4Fk748FCxZQXl7O2LFjeeaZZ9iwYUM6HRdg5syZ7N69m3vuuQe1Ws2KFSuG0/wLElEU+fPBFh7eWEswJvDggny+MzsXlUKGKxhjzbZ6XtnXjEou567LcrHplDy39SQNvihfnGDloYUFlAxiLrsoivzteCuPb67jWEuYGTl6fn7VGBaNMQ3Y5H2mLZoKbLeytTa5C9iolrO4xMyysiyuLDUPejbYaCAhiFR5whllOQ40BQnEehaJGTkGxtu1A1KkUhBFDjQF2VDdxgfVXnbXBxBEsGgULBpjpqLUzJISi1T6fpCQiaIofvbTRjd1dXXn9LqLyZ8JydTVB987lQxm5xt46uoSxtm1BGMJXtzZxH/saCAcF7h5uoPyXAO/2tXIEXeYuWOyWDUv56xl0s8XURT56KSP1ZvPsLcxyDiblgfm53Pt+KweBaM/45QQRPY0BNJZUAebk4HtkiwNy8osLCuzcHmhcUDSZEfrZyohiJzoQSSCnURiqlOfXkWcr0j0ZFNLKM6HNcnsp401beleFjNy9FSUmqkosTAzzzCo1ZNH6/k7F0Z0jENi+BFEkZf3NPPTj84A8OiVRXyr3ElCgFf2NvP0tjqaAsny4l+aaOX3+138bp+LkiwN//mlMr45dxxut3vQ7NtZ52f15jNsq/VTaFbz9DVj+OoU+3lNEL5Igk0nky6oDVVe3KE4ChlcVmDkR4sKWFaWxVjb6KpYOlAkhOQu6c61myqbQ2mR0CnlTM3W8fVp9nSBv3G2gVlJdEYQRfY2BNlY42VDdRt7GpKriiytgiWpDniLx5hxGqRVxVAjCcdFznF3mPvfrWFHXYAlJWZ+flUxBSY1fz/eyk8/OkOVJ8KcfAP/XlHE+1VeVr5dTZZWwU8qivh/lzhQK+SDNrkebA7y+OY63qvy4tQrefTKIm6Z7jjrbt+zUdMaYX1VK++d8PJxanNXllbBlaXJVcXiEvNn9jy/0EgIIgcb/Ww67E4X96tsChGKd4jEtGwdN09zpMtyjLNpB20He0swzsaTXrbW1fHOkWZaQnFkQHmunn+5PI+KUjPluQZpB/0wc3F9SyTSxBIi/7GzgWe21aNXyVnzuRJunGJjZ12AlW9Xs7MuwDibll98voRj7jD3/b0GUYTvzMnhrstysQziBFvtCfPU1nreONyCWaNg1YJ8vj0rG72qfxvmYgmRnXX+tAvqeKr17AS7ljsuzWZZmYVL842D3hhqpBDPWEl0Fwm9Ss60bD23zHCky3KMtQ6eSECHm7A9qL2nIYgIOAyq1KrCzOIx5iHZuCnRdyThuAjZ3xjke+/UUNkc4osTrDx6ZRGt4TjffvME75zwkmNQ8dOlxcQEgZ9sPI07FOeGyTYeXJBPoXnwAt/1vijPbK/nD/tdqBVy7ro82cCpP6uA9vIeH50+wztHmvFGEqgVMuYWmvjWJU6Wll0chejigsgxdzijwF9lc5BwPBnS7CwSC8blUKpPUDbIItFOcyDGxpqkUGyqacMTTqQz1b43Ly/ZMnVKMS0tg+f+lDg/JOG4iAjFBNZsr+c/djRg1yv59XVlzMwz8MSWOl494EKvkvPA/GRP7ae31VHliTC3yMiPFhVyySB2wWsJxnnukwbW7WlCEOFb5U7uvjyP7D74rkVR5FhLmPUnkquKHanyHjlGNZ8fn8WyMssFX94jLogcdYcyynIc7CQShpRI3DrDmV5JdBaJwQ74xgWRT+sDfJAqFrivMbn/xaFXsrTMwpWlyXPUOX1bfpGsAkcrknBcJHx82sf9756kyhPh5ml27pubz+/2NXPXX6tJCHBbeTaLS8ys/aSBj8/4GWfTDnpTI18kwa92NfLirkaCMYEbp9j57tw8iixnXxFE4gLbT/vTG/FOpXohTMvWcc/leSwrs7B06oV5xRpLdBGJpiCHuojE9Bw9/++SlEhkGyizaYa8z0hTIJbegPfRqTZawwnkMrg0tf+lotTMtGz9iOp/ciEgiiLeSAJXII4rFGOCTZdRfHSgkITjAscXSfDTj87w273NFFvU/PYr46hpjfC53x2iJRTnyxOt3Dzdwav7XXzz9eM49Ep+tqyYW6Y7Bs33H4oJ/HZvM7/8uB5POMG147N4YH4+4+29d/xrDsTYUO3lvRPdy3usvCyXK0st5HfaCXwhXLF2Fom9qbjEIVcoLRJGtZzp2Xq+eYmTGTkGpufoKbMOvUhAclWxq86f3ldRmUppzjYouXpsFhWlZhaNufiSDwaCuCDSEorTHIjhDsZpDsZoDsZxp357Yyepbw3SHEw+HhM6dlh8eaKV57848K0npLN4AfN+lZdV609S74vx7VnZTLLr+OGGU5zyRplfbOKuy3LZWN3GN18/jlwG/3JFLivm5A6aWyeWEPljpYtnttXT4I+xpMTMA/Pze3SDiaJIZVOI96q8vF/Vyqep8h55RhVfnWLjqrKsC6q8RywhcqTTSmJ/Y4CDzSEiqS5/JrWcaTl6vnVJdnqvROkwiUQ79b4oG2va2FDtZfMpH22RBAoZzM43smpBPhWlFqZKu+p7JBQTcIdiNAfiuIIxXClBcAXjuAKZwuAJxTnbZjuZDHIMKgrNaq4oNFJo1lBgVlNoVg/a3ipJOC5AWoJxfryxlr8camGCXcsDC5z87Vgrv9ndxGSnjpe+PJbq1gjf+b8qvOEEN0218/35+YNWu0cQRf73sIcnttZR0xphdr6B564tZW6RKeN5F0t5j2hC4KgrtZmuKRm8PtSDSCwvT4rEjFw9JVnDKxKQFLcddX42pvpVHEqtKnKNKr4wPouKVKzCPIS9TkYKoijSFkkkJ/7UhO8KxtIuI1egkzAEY+kSLH1BJZeRb1JRYNZQmBKE5E/y9vSSvD4VexxIJOG4gBBFkf894uFHG2rxRuJ8blwWbZEEP99cR4FJzZrPlaBWyHh4Yy0nvVEWjzHzg0UFTM3WD5o966u8/HxLHYeaQ0x26nj5K+NYWmpOT/5n2qK8X50MbG851XbBlfeIJgSOuMLpPRKH3MfY3+BL9ws3axRMy9Zz28yOlcRIEIl2zrRF2VjTEavwRwWUcphTYOQHCwtYUmpmsmP0i3lPJFIuoo7VQIyQzM/JptYOYUj9dgfjaeHvL3qVPC0GBWY1hSZNx99mNTlG1Vk/D/0pKz9QSMJxgVDvi/Kv75/i3RPJzXKTHDreOd6KRavgR4sLmerU8fiWOnbXB5js0PHfXx3HkhLLoNmztdbH6o/OsKs+QEmWhue/UMqXJloRxWT3wK7lPcZY1HxjhpNlZRauGKDyHkNNNCFw2BXKKMtx2BVKi4RFo2BmoYVvz8xOb6YbM4JEApL/wydn/MnGRtVejriTe1/yjCq+PNFGRamZBcXmIe2gOJCE4wLuzquCQCxDGFydBKElFEcYgIJMVq0ivToo6LJiKDCrsWoVo054JeEY5YiiyO/3u3hk02l8UQEZ4AnHaYsk+M6cHK4db+X5HQ08suk0uUYVT18zhhun2ActX39vQ4Cfb65j08k2co0qHr+qmGvHW9lS6+O775y8YMp7ROICR9wpkWhICsVhVygdmLRoFEzP0XP7rOx07aYxFjVOp3PE1To66QnxP3ub+SAVqwjGBFRyGZcVGrlpqp2KUgsT7NoReX5EUcQfFZITf8ot1BzoiA9kxA8CsXS/j67oVXKceiV6lYJoQkStkGHVKokkBMJxgXgvniUZkGNUUWDqJAiWDpdSgUmN4QJMBZeEYxRT7QnzwHun2Frry7j/hsl2vj0zmz9Wurj+D4fRKOR8f34+d17a/93XfeWwK8RTW+v467FWbDoly8ud5JvUvHXEww/er02X96gosXDV2NFV3iMS71hJtAevO4tEllbB9Gw9d16ana7dVGxRj8iJFpL/z8en/Wyo8bKxuo1jqR31hWY1X51i48oSC/OLTcM24SUEkWZ/lCOuUEYmUef4gTuYEohQLJ1l1pUsrQKnXoXDoGSaU49jjBKlQkYkLhKOC0TiApGEmF6FnG6LcDKV2t2OSi6jwKROxxcm5GZhU8ZTKwcN+SbVqFwdny+j45srkUFcEPn17iZ+vvlM2g0CcGWpme/Ny2fLKR83vnaEYEzglhkOvjc3f1AKwXlCcd480sIbR46z47Q3fb9aIWPdnmZg9JX3CHcTiQBHXOFeReKSXD1F5pErEu2cbI2kN+BtOeUjFBdQK2RcUWjkjrljuNypHNRVXyQu4A6lJv4umUTuYDLVNB0v6MVFpJCBQ6/CoVfiNKgYa9Pi1Ktw6pXY9SrseiWCmDxWMCbQ6I9x2hfhTFuUI+4Q71dH04Ua2+kcXyjP03eLL2QbVBmr85FYHbcnogmBllAcu041KD1IJOEYZRxo8PHtPx5Od5+DZAG4hxYW0OiPccf/nqDOF+OqMgs/WFRw1r0R50JcENlY08ZrlS7eO+HNEC5IXqFNtOtYOSd3xJf3CMcFDjWHMmo3HXGH0m6JLK2CGTl6/ml2TjomMRpEApIZah+f8aX3VVR5IkAylvS1aXaWlJiZX2xCr1Kc02QoiiKBmJAx4adXBF0yidzBON5Iosf30SnlOA3Jib/IomZmngGHXklJdhZaIYLT0CEMBpWcen+M021JMTid+tnXGORMW4Q6XyxjDwMkz2GhWc1Yq5ZFY8yjMr4gpDK23Km4iycUxx1K/t0SihMQ6qlrDdASjKXva3fJ3TDZxi+vLR1wmyThGCVE4gLPftzAmu316ftKsjQ8uCAfm07Jo5vOsL8pyIwcPb/4fCnzuqS6ni+HmkP8qdLNXw65aU71QWhHIZdxdZmFr0y2sbhkZJb3CMcFDjaHMmo3He0kElatghk5BipKLemyHIWjRCTaqfaEk0HtGm+6AZVWmarTVe6kosRCmbX3VYUgirSGEl3cQh17C7qmmp7NRdS+Mpji1KcnfqdBiUOXdB05U493docFY4m0GLQKcg42hjh9ojV9X6PG/yknAAAgAElEQVQ/lrGfoXN8oTzXwBcnqLulrI7E+EK7a8yTmuTd6d8dE39LsEMYWkJx+pOwpZLL0KvkqOQy5g/wPNCOJBwjHFEUeWWfi4fWn0rfJ5fBTyqKuKzAyONb6lhf5aXApOaX15Zw/STbgGXptATjvH64hT9VutnfFOz2eLFFzS3THfzzwgmoor4e3mF4CMUEPjnVyodHm9K7ro+6Qukvn02nZEaOnqVlHSJRYBpdIgHJ/3NrrS9Z2qOmjZrW5KqiJEvDLdMdVJRamJ1vJBBN7i845Y2wqz6QkUnkDsbxRI/S0BbCHex5glLIwK5XpsWg1KpNT/yO1Iqg/TG7Xtmjz18URTzhRGqlEOHT+gCn26KdVg4RPOHMVUnn/QudVwsjKb7QLrZdJ/7OK4J2EWi/r6u7bKCJCSIxQUQug+rUZ2KgkToAnoXh8meKosi+xiB/qnTzUipW0M6zX57MTLucF3Y28up+FwaVnHsuz+MfZ2WjHYB87mhC4IPqNl6rdLO+qrVbNolSDteMy+LW6U4WjDEhl8mG1e8bigkcbA5m1G7qLBL2lEi0u5pm5BjIN6mGTSTOZ6xEUeSEJ8LbRz386aCbak/3SWF6th6DWp5eHbSGe3YRaZUyHKn4QL7VgFkh4DCk4gd6VUcsQa8iS6f4zIsRQRSTMYXOYuDLdCl1nTB1ymR8ocjSff/CjJJclBHfkPfdCMZSItDpit/dSQD8gpyG1mD6vtbwwKTs9hW1QpY+L/bU72KHGYMs1nFfSsytOuV5XURKHQBHAYKYrCD69tFW3j7m4XRbR3aHWiFj4/KpOA1KXjno45q/VhNNCNxWns29V+SddxGz9vIer1W6ef1wCy2heLfnlGRp+MZ0B/8w1T5sHddCMYHKTiKxP+Vu6ioSV5VZWDA+lxJdYlhFoq+0X41npJCm4gO13ihvHmnp0+Rk0SgIxBLoVXImOrTM15nS8YPOqwKnIRkvaB+XvohZNCFQ5+seX0gKxdnjC2VWLQsz4gtJkbDqeo8vOCxaXC5/3wawF+KCSGu4dxFo6cFF1Jv7bTAxqOQ4DSrsuuS56RDv7is6s6b7mA3HhZskHMOIIIrsqgvw1lEPfz3qod4fy3jcpkuWPp+db+S1SjdPbKmjMRDj2vFZPLSwgDKr9ryO3xyI8ZdDSVfUIVeo2+MquYzPj8/iGzMczCsyDelGtVBM4EBTSiSaksHrY+5wWiQc+qRIXD3OwozsZIG/ziIx3NkvsYSIO5QZMHYHY/hFN7XuZL/s5kAsnWnU2z6BrmiVMm6cYmdWniG5YjAoseuSk8q5dkaEzPhCx6ohQq03yhnf8McX2oPx7mBPrqCeXUS9rbaGgvY4T/uk31nAkynCHQIxGuutScIxxCQEkU/O+Hn7qIe/HmulMRBDo5CxuMRMea6MD2q8xBIi35mTy31z89h+2sc1rxzikCvErDwDf7h1JhOM5/6FiMQF3qvy8qdKNx9Ue0mISZeBQkZ6Ui6zavjGDCf/MMU2JJ3XgrEElU3tO66TwetjLeH0VbZTr2R6jp7PjbOm3U55xqFfSYRiQpdCdD1nErmCsW7++nY0SjkOnRKnQUmuSc30HD06pZwj7jD7GwMZG9TGWjUsLbNQUWrh8gLjOQtD1/hCpjhEqfPHcAczL1o+K76QZ1Sdl1BFEwKeHmID7SsBv3CG+tZARoC4awbfUCKXJVe0uWYtVo0sw5Xn6LJK6C3OcyEhCccQEBdEttX6ePuYh78da8UVjKNVyriy1MIXxluZkatn9eYzvH20lalOHU9dU4JcBre9cZwPT/oYY1HzwhfL+OKELJxO6zmlTu5tDPLaATdvHmmhNZzAolFg0ymJJsR0l7zrxlv5xgwHVxQaB21S7ioS+xqDHO8kEtkGJdNzDFw7vkMkcgdJJLr2LuhWqbRLqmmgl6CmSS1PuRRUjLdrmVtk6jWTqCQ/m8qT9VR5IuxtCPBBTRufpPqfG1RyrhmbFIqKUnOfuy2eT3yh0Kzm8hIbDrWQURYjp8v+hc8ax7ZI4iyuoMwMoZZQsrLBcNNTvKDdVdTZrefUK8nSKlHIhzeeN5KQhGMQCcYSrPu0mRd3NeIKxtEp5Swrs/CFCVauLDWjV8n508EWvvT7w4RiAqsW5HP9JBtPb6vnT5VuLFoFDy8p5JuXOM/p6q7eF027oo61hNEqZRRbNGRplTQFYngjCcbZtNw7N48bp9gzOrANBIFoSiSaAumYRGeRyDGomJ6j54sTrOngda7x/Cr0tvcuqIu1cfxMW7feBV0zirr65SHphklmESUnkJntbqEe/M52vbLHpARvOE6VJ0KVJ8ympjaqPGGqPGGqW/cTiHZMmpMcWm6flU1FqYU5BYYer1QHO77QdTKMxAUaAz2nhnZOHfV0EoK+utoGm/ONF0j0DUk4BoFQTODlvc08/0kD7lCcihIzt8xwUFFiSfsza70R7vjfU2w62cacfAMPVxTxzvFWlqyrRBDhn2bncPfluf0uyxGKCbx7opXXKt18eLINQYQpTh0z8wx4w3GOusNoFDK+ONHKrdOdzCkwDMiXJxBNcKApmFHg73hLOO0XPx+R6Ny7IL3TuJ+9C9qvLtv9zVOcuvRkkr4/NaHYdMo+XW2H4wI1rUlxqGqJpMWhyhPB3SnBQC6DYouGMquGJeOc5OlEyqxaJti15BrV6fjC5lO+pCB4O7mTziG+UGBWp/fSCKJIaziR3jhW1xbjQGMow0Xki5+ksS2YzibqbWU1XJjUcnKM6oxJv10EMjOJRme8YDQiCccAEooJ/Pf+Zp77uIHmYJxFY0x8b15+RjMVQRRZ92kzP9t8BhnJ/RgKGXzr9eO4gnGun2TlwQUFFH9G+9TOiKLIzroAfzro5q0jHtoiCQpMapaUmIkkRPbUBwjEBCbatfykoogbJtuwnsfqwt9JJPY3Bql0HeZocyA9ueUaVUzP1nPdRGu6wF+OsSNW0u7aONES7ta7oJswnKV3gVEtT08kZVYtlxV2uIXKcmxoEqHzvrpMCCKn26JpQegsDmfaohkTeo5BRZlVw+fGZVFm1VBm1ZJjTJZ8cAfjNPhjtAkqjja2sqmmjfrUKqJrPEQph3xTUgAWjjFTaOoQBIdehUYpIxAV0hN/8r2jHGwOZriD3ME4niFOF+0raoWMsVZt0pXXQ7xgfL4TZdR/UcQLRiOScAwAkbjA7/e7eO6TBhr8MeYXm/jPuflcVpjZfeuYO8T9755kZ12AJSVmlpVZWLenmeMtYa4oNPLyVwop76EbXm+caYvy54PudE6/TpnsY6GSy6jyhNlQ3YZWKeO6iTZume5gdn7/Vxe+SKZI7GsMUOWJZIjE7KIsrh1rpsiiJteoRiYjHRfYccbPX4+1dsQOUplEPQU6ZYBVp0zHBy7J0XcLPHbOJDrb1WV/fNGiKOIKxruIQ/J3TWskw1aTWk6ZVcvsfAPLyizoVXL0KjlapRxfNEG9L0ZtW4QddX7qfdEeq7FmaRXkGlVkG1QUWZJdDHVKeeq9FCjlpFcJzYEYh5tDaTEIjRSfUC+Ms2kptqj7FC84Gw6HGZcretbnSAwfknCcB9GEwB8OuHl2ez31/hiXFxj55bXdy33EEiLP70iWC9Gr5Hx7ZjYHm4P8cEMtY60a/uvLY7l6rKVPk3ogGk+KRaWbLad8iMDcQiOLis14wnHWV3kJxgQmO3Q8dmURX5lsw9JHd1dXkdhR58/YT9IZi0ZBnim5ivj4lJe3A9EeXUQquaxT4FHJRIeuI3DcxdVg0ykHtQiiL5KgurWzW6ljBdF5gpcBupQg5BhUHeKgkhNPiDT4Yxzq1GejKzJAo5ShVshx6JWoFcm/NQoZOo0KXyjpfjriCp+1JehIId+kYrIzmcmWTjHtVEPKKcULLjok4TgHgrEEv9/v4sWdjdT5YszON/DM50pYUGzq9uXZ1xjgu++c5FBziJm5eoxqBb/5tAm7TsljS4v4xnTnZ1avjCYEPjzp483DLbx7wos/mmCMRc0dl2ajkMn48GQbL+9tRqeU8+VJVr4xw8nMXH03Wzr3Lqj2RNhY42VDdUepir5iUMnJ0iowqBQ4DSrmlxkxyRM9ZhJZhnhCicQFTnkjbG1qYu/JpgxxaAp039jYEyIQjAnnXBpCBMJxkXC8p8yh8Dm950CTpVUw2aljgk1HabYFPVEpXiDRZyTh6Aet4Tjr9jTzm91NtITiXF5g5Imrx7B4jLnb5BiKCTy9rY4XdzaiUsgos2o42BxCJoO7L89l5Zzcs3ZRSwgi2077+N/DHt4+5qE1nCBLq+CmS3LJ18FRd5hX9roIxQVyjSqWlztZUGwiEhfZVefnneOt6fhBlSfcY3mK3phXZGKSQ9trJlHXCWWoUxQFUaTOF81YORxvCbOzzj/iArud0ShkmLUqYokEsYRIJNF7g6BzQSmHqU49U7P1lGZp+ry/QEoxlegvknD0gWhC4IWdjaz9pAF/VODKUjN3X5bXLYbRzrZaH99/72THZJ0QqfZEuHGqne/Py6fA3HM2kSiK7K5PBrlf2Zv5RTaq5bSGE/zXjjPdXtfgj7FuT3O6B0ZfuKLQyJWp/QLjbbpBqdl/PohiMq22yhPhsCvEtlofW2t93SrzDhcahQybLlkPyKZLuqOCMYEGf4ymQKzH1UokIdIc6L/ffpxNyxSnjilOHYVmTTpe4NArsfYhXiAhMdBIwvEZ7Djj5/vvnuRYS5jPjcvivrl5TMvW9/hcXyTBYx+d7jbpzy0y8d25eWQbVNT5ouxrDGR0MfvoVFu6X0JvdM0smldkwqZTUu+LUu+PUueLdXtNoVmdUeBverZ+SHaC94cGf5S/H2/lrSMetp8+v9pE54pWmWwT2lkIrFolKoUMTzhOoz9Ggz9Go78j2B1JiNT7Y93KxPSVfJOKSQ4d07L1THLoyDWqpHiBxKhBEo6zcKo1xM1/PoZDr+S3XxnH0jJL+rGuvQv+cMDFXw619Pg+O+v83PDHo+dsx0S7li9NtFJm1eJJqNhe1cz+pmBGy9giszqjAuz0bP15Fz88F9p7DbhDMY65w1Q2hdjbGBgyUWgXgWyTFrOKtBBkaZXIZSCIyU2CzYEYjYEYjf4Y1a3h8xKBdsZaNUx26pns1DHFoaPUqsGuU2HRKtKrAsktJHEhIAnHWfjeW4cJxQXKcw28cbiFX+9u7Ghv2Uvvgs4sKDaRY1Th0CUDxtFEsvTIllpfOrd+kkOLXqVAIYP9TcF0dc5sg5J8kxqbTsmJljBPbu1o4FRsSYrEzdMczMjRMy1HP+C7viEZZ/GGO+oJuUNxTrZGOOoOc6wlzDF3qNc9FgOBVilLX/3bdJkrAqNakcxIEkXE5C+CseSGvMOuEHvrz78/iFIOkxw6Jjl0THbqmeLQMcmZzAqTVgQSFzOScPRCLCHy/nE3AO9VtaYDjO27de16JVtO+dhdH8h43dVjLXyr3ImcpM87FE9mMf3tWCufnEledTtSZSpUChmHXT1n2TQF4jQF4mmRuGW6kxk5ehZPLkQMtfX7/xFFkVBcyOg14A7FOZUWghBH3eFB3yxWYFJTZtVkCIFVmxwPERFBJC0EoVgCdyhOtSfCIVeIj06dvxgY1XImp4RgslPHJLuOArMap0HaaCYh0Vck4egFlUJGzUNL8LS40XfqXQBQ54uy/PXjVDZ3L0X+7gkv757wnvW9Xb0EeMdY1EzPMaTjEtOz9d12eNsNalyhpLulc60gd0oQar2R9GrgpHdoN1BlG5RcmmdkVp4hnQAgpoQgEEukXFjJ0hdNgRjbT/tpDJyfewiS1XOTqwIdE+06ck0qJhZko475z7uZjYSERHck4TgLZq2SaKeeAoIo8rsubVzPhy9N6KgAW2rVkBCgJZQMxh5qDvHO8VZOeSOc8kY55Y0MS1npkiwNY21acg2q9M5fg1qBP9ohBP6EPF0Ce0utj78dbz3v4xZb1Ex26Cizask2qsjWq5K/DSpyDCqMavlZ3UUOhwmXa3DaZkpIXOxIwtFHqj1hFv5XZbedvj9aXIgnFGd/Y5CPTrX1y9Xz1lEPbx31DKidn4VWKaMkS0N2SgiMKgVKuQyFPNmPo64tSo03wqnWCIFUzKC/GwR7Y7xNS5ElWbK7swhkG1TJWJBeNSDtbyUkJAaXUSkce/bs4aWXXkIQBJYuXcr1118/KMeJxgVeq3Rz399ren3OI5tOD8qx+4NKLkOnkqfjGGfbVBaOixx2hXuNrfQVjUJGkUVDllaB3ahDTQKbTkm2sZMYpATC3sdqsxISEqODUSccgiDwm9/8hh/+8IfY7XYeeughZs+eTWFh4YAexxWMUfDUewP6noNFTBCJnWNjnAKTmjFZGkqyNOSb1Fg0CowaBSa1HKNagUmjSP5WKzBpksX4RkLPYwkJieFj1AnH8ePHyc3NJScnB4B58+axY8eOAReO+EisRd0LWVoFYywaxmQlf0pSf+cYVZhTE79GIZNSSCUkJAaEUSccLS0t2O329G273c6xY8cynrN+/XrWr18PwOrVq3E4HP0+TvIl+z/zeSaNglhCJCaIJD5DbIxqBQ6DGodBhV2vTv/tMKix61Wp28m/7Xo1Ro0CjUKOvJObR6lUEo+PjLIb7SiVynMa48FkJNoEI9Muyaa+MxLtGg6bRp1w9IVly5axbNmy9O1zdaNEfnbNMLhgEsmfcJhAGAJdHh2JbiHJpr4zEu2SbOo7I9GuwbIpPz+/18dGXQqLzWbD7Xanb7vdbmw22zBaJCEhIXFxMeqEY+zYsdTX19PU1EQ8Hmfr1q3Mnj17uM2SkJCQuGgYda4qhULBP/7jP/LYY48hCAIVFRUUFRUNt1kSEhISFw2jTjgAZs2axaxZs4bbDAkJCYmLklHnqpKQkJCQGF4k4ZCQkJCQ6BeScEhISEhI9AtJOCQkJCQk+oVMFMXRU1tDQkJCQmLYkVYcZ2HVqlXDbUI3JJv6xki0CUamXZJNfWck2jUcNknCISEhISHRLyThkJCQkJDoF4qHH3744eE2YiRTVlY23CZ0Q7Kpb4xEm2Bk2iXZ1HdGol1DbZMUHJeQkJCQ6BeSq0pCQkJCol9IwiEhISEh0S9GZZHDwWbPnj289NJLCILA0qVLuf7664fs2CtXrkSr1SKXy1EoFKxevRq/388zzzxDc3MzTqeT++67D6PRiCiKvPTSS3z66adoNBpWrFgxYL7O559/nt27d2OxWHjqqacAzsmOjRs38pe//AWAG264gSVLlgyoTa+99hrvv/8+ZrMZgJtvvjldAPP1119nw4YNyOVybrvtNsrLy4GBPb8ul4u1a9fS2tqKTCZj2bJlXHvttcM6Vr3ZNNxjFY1G+fGPf0w8HieRSHDFFVdw00030dTUxJo1a/D5fJSVlXH33XejVCqJxWI899xzVFVVYTKZuPfee8nOzj6rvQNl09q1azl48CB6vR5Ifi9LSkqG7LMOIAgCq1atwmazsWrVqmEdp26IEhkkEgnxrrvuEhsaGsRYLCbef//9Ym1t7ZAdf8WKFaLX682475VXXhFff/11URRF8fXXXxdfeeUVURRFcdeuXeJjjz0mCoIgHjlyRHzooYcGzI7KykrxxIkT4ne/+91ztsPn84krV64UfT5fxt8DadMf//hH8c033+z23NraWvH+++8Xo9Go2NjYKN51111iIpEY8PPb0tIinjhxQhRFUQwGg+I999wj1tbWDutY9WbTcI+VIAhiKBQSRVEUY7GY+NBDD4lHjhwRn3rqKXHz5s2iKIriiy++KL7zzjuiKIri3//+d/HFF18URVEUN2/eLD799NNntXcgbXruuefEbdu2dXv+UH3WRVEU33rrLXHNmjXiz372M1EUxWEdp65IrqouHD9+nNzcXHJyclAqlcybN48dO3YMq007duxg8eLFACxevDhtz86dO1m0aBEymYwJEyYQCATweDwDcswpU6ZgNBrPy449e/YwY8YMjEYjRqORGTNmsGfPngG1qTd27NjBvHnzUKlUZGdnk5uby/Hjxwf8/Fqt1vQVp06no6CggJaWlmEdq95s6o2hGiuZTIZWqwUgkUiQSCSQyWRUVlZyxRVXALBkyZKMsWq/ar/iiis4cOAAoij2au9A2tQbQ/VZd7vd7N69m6VLlwIgiuKwjlNXJOHoQktLC3a7PX3bbref9Us3GDz22GM8+OCDrF+/HgCv14vVagUgKysLr9ebtrVzk/rBtrW/dnQdS5vNNij2vfPOO9x///08//zz+P3+tE09HXswz29TUxPV1dWMGzduxIxVZ5tg+MdKEAS+//3vc/vttzN9+nRycnLQ6/UoFIqMY3e1S6FQoNfr8fl8Az5WXW0aP348AK+++ir3338/69atIxaLpW0aivO3bt06br311rSI+Xy+YR+nzkgxjhHGI488gs1mw+v18uijj3ZrGC+Tyc56RTRUjBQ7rr76am688UYA/vjHP/Lb3/6WFStWDLkd4XCYp556iuXLl6f94u0M11h1tWkkjJVcLueJJ54gEAjw5JNPUldXN6TH74tNp06d4pZbbiErK4t4PM6LL77Im2++mR67wWbXrl1YLBbKysqorKwckmP2F2nF0QWbzYbb7U7fdrvd2Gy2IT0+gMViYc6cORw/fhyLxZJ2QXk8nnRw02az4XK5hszW/trRdSxbWloG3L6srCzkcjlyuZylS5dy4sSJtE09HXswzm88Huepp55i4cKFXH755cDwj1VPNo2EsWrHYDAwdepUjh49SjAYJJFIZBy7q12JRIJgMIjJZBq0z1W7TXv27MFqtSKTyVCpVFRUVKRdPENx/o4cOcLOnTtZuXIla9as4cCBA6xbt27EjBNIwtGNsWPHUl9fT1NTE/F4nK1btzJ79uwhOXY4HCYUCqX/3rdvH8XFxcyePZtNmzYBsGnTJubMmQPA7Nmz+fDDDxFFkaNHj6LX69PukcGgv3aUl5ezd+9e/H4/fr+fvXv3DlxWR4rOMZ1PPvkk3X9+9uzZbN26lVgsRlNTE/X19YwbN27Az68oirzwwgsUFBTwxS9+MX3/cI5VbzYN91i1tbURCASAZDbTvn37KCgoYOrUqWzfvh1IZia1H+PSSy9l48aNAGzfvp2pU6cik8l6tXcgbWofq/ZYQeexGuzzd8stt/DCCy+wdu1a7r33XqZNm8Y999wzrOPUFWnneA/s3r2bl19+GUEQqKio4IYbbhiS4zY2NvLkk08CySuHBQsWcMMNN+Dz+XjmmWdwuVzdUjt/85vfsHfvXtRqNStWrGDs2LEDYsuaNWs4ePAgPp8Pi8XCTTfdxJw5c/ptx4YNG3j99deBZIpiRUXFgNpUWVlJTU0NMpkMp9PJnXfemRbPv/zlL3zwwQfI5XKWL1/OzJkzgYE9v4cPH+bf/u3fKC4uTrujbr75ZsaPHz9sY9WbTVu2bBnWsTp58iRr165FEAREUWTu3LnceOONNDY2smbNGvx+P6Wlpdx9992oVCqi0SjPPfcc1dXVGI1G7r33XnJycs5q70DZ9O///u+0tbUBMGbMGO688060Wu2Qfdbbqays5K233mLVqlXDOk5dkYRDQkJCQqJfSK4qCQkJCYl+IQmHhISEhES/kIRDQkJCQqJfSMIhISEhIdEvJOGQkJCQkOgXknBISIxQXnvtNZ599tnhNkNCohuScEhI9JOHHnqIuro6GhsbefDBB9P3r1y5kttvv51wOJy+7/3330fqzixxoSEJh4REP4jH47hcLvLy8qiqqqK0tDTjcUEQ+Otf/zpM1klIDA1SkUMJiX5QW1tLYWEhMpmMEydOdBOO6667jjfffJNrrrkGg8HQ7fVHjhxh3bp11NXVkZ+fz/Lly5k4cSKQrGS7du1aqqurGT9+fLcCl0ePHuW3v/0tp0+fxul0snz5cqZOnQokS1D8+c9/pq2tDZPJxNe//nUWLlw4SKMgcbEjCYeERB/44IMPePnll4nH44iiyPLlywmHw6jVal599VUef/xxAMrKypg6dSpvvfUWX//61zPew+/3s3r1am677Tbmz5/Ptm3bWL16Nc8++ywmk4lf/OIXTJgwgR/+8IccO3aM1atXp+sRtbS0sHr1au666y7Ky8s5cOAATz31FGvWrEGtVvPSSy/xs5/9jPz8fDweT7pkuoTEYCC5qiQk+kBFRQXr1q2jrKyMxx57jCeffJKioiJefvll1q1bl27VCXDTTTfxt7/9LV3rqJ3du3eTm5vLokWLUCgULFiwgPz8fHbt2oXL5eLEiRN87WtfQ6VSMWXKFC699NL0az/88ENmzpzJrFmzkMvlzJgxg7Fjx7J7924gWbr91KlTRKNRrFZruiifhMRgIK04JCQ+A7/fz1133YUoioTDYR5++OF0Y5/bbruNf/iHf+ALX/hC+vnFxcVceumlvPHGGxQUFKTvb2lpwel0Zry30+lMNwIyGAzpbnTtj7WX8Ha5XGzfvp1du3alH08kEkydOhWtVsu9997LW2+9xQsvvMDEiRP55je/mXFsCYmBRBIOCYnPwGg0sm7dOrZs2UJlZSV33nknTzzxBNdccw0zZszo8TU33XQTDz74YEZZc5vNxscff5zxPJfLRXl5OVarlUAgQDgcTotH574PdrudhQsX8s///M89Hq+8vJzy8nKi0Sh/+MMfePHFF/nJT35yvv+6hESPSK4qCYk+0jmLqqamJt3Xuydyc3OZO3cuf/vb39L3zZw5k/r6ejZv3kwikWDr1q2cPn2aWbNm4XQ6GTt2LK+99hrxeJzDhw9nrC4WLlzIrl272LNnD4IgEI1GqaysxO1209rayo4dOwiHwyiVSrRa7Yjozihx4SKtOCQk+khVVRVz587F5/Mhl8sxGo1nff6NN97IRx99lL5tMplYtWoVL730Er/61a/Izc1l1apV6e6A99xzD2vXruW2225jwoQJLFq0KHbfGogAAACPSURBVN1kyOFw8MADD/C73/2OX/ziF8jlcsaNG8cdd9yBKIr83//9H8899xwymYySkhLuuOOOwRsIiYseqR+HhISEhES/kFxVEhISEhL9QhIOCQkJCYl+IQmHhISEhES/kIRDQkJCQqJfSMIhISEhIdEvJOGQkJCQkOgXknBISEhISPQLSTgkJCQkJPrF/wdT2PeaehQhEQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import pandas as pd\n",
    "\n",
    "# df = pd.read_csv(\n",
    "#     'runtime.csv', \n",
    "#     names=['graph', 'criterion', 'nodeCount', 'iterCount', 'runtime']\n",
    "# )\n",
    "\n",
    "\n",
    "# x = df['nodeCount']\n",
    "# y = df['runtime']\n",
    "# plt.plot(x, y)\n",
    "\n",
    "# plt.xlabel('#Nodes')\n",
    "# plt.ylabel('Runtime (sec)')\n",
    "# plt.title('Stress minimization on balanced trees')\n",
    "\n",
    "# # plt.savefig(f'runtime.pdf')\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# from matplotlib.animation import FuncAnimation\n",
    "# from IPython.display import HTML\n",
    "\n",
    "# if type(xPath) == list:\n",
    "#     xPath = np.stack(xPath)\n",
    "    \n",
    "# padding = 0.1\n",
    "\n",
    "# fig, ax = plt.subplots()\n",
    "# scatter = plt.scatter([0], [0], s=10)\n",
    "# lc = mc.LineCollection([], linewidths=1)\n",
    "# ax.add_collection(lc)\n",
    "\n",
    "# xlim = [np.min(xPath[:,:,0]),np.max(xPath[:,:,0])]\n",
    "# ylim = [np.min(xPath[:,:,1]),np.max(xPath[:,:,1])]\n",
    "# xlim = [xlim[0]-padding*(xlim[1]-xlim[0]), xlim[1]+padding*(xlim[1]-xlim[0])]\n",
    "# ylim = [ylim[0]-padding*(ylim[1]-ylim[0]), ylim[1]+padding*(ylim[1]-ylim[0])]\n",
    "# ax.set_xlim(xlim)\n",
    "# ax.set_ylim(ylim)\n",
    "    \n",
    "# def init():\n",
    "#     return scatter,lc\n",
    "\n",
    "# def update(frame):\n",
    "#     xy = xPath[frame]\n",
    "#     scatter.set_offsets(xy)\n",
    "#     segs = [[xy[k2i[k0]], xy[k2i[k1]]] for k0,k1 in G.edges]           \n",
    "#     lc.set_segments(segs)\n",
    "#     return scatter,lc\n",
    "\n",
    "# anim = FuncAnimation(\n",
    "#     fig, \n",
    "#     update, \n",
    "#     frames=range(0,len(xPath),1),\n",
    "#     init_func=init, \n",
    "#     interval=1000.0/20,\n",
    "#     blit=True)\n",
    "\n",
    "# HTML(anim.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# x = pos.detach().cpu().numpy()\n",
    "# pos_i = {k: x[k2i[k], :2] for k in G.nodes}\n",
    "# vis.plot(G, pos_i, lossHistory, [], i, totalTime, show=True, save=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## animation from image files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # Create a gif from images in fig/\n",
    "# # \n",
    "# frames = []\n",
    "# imgs = natsorted(glob('fig/*.png'))\n",
    "\n",
    "# for img in imgs:\n",
    "#     new_frame = Image.open(img)\n",
    "#     frames.append(new_frame)\n",
    "\n",
    "# # Save into a GIF file that loops forever\n",
    "# frames[0].save(f'anim-{int(time.time())}.gif', format='GIF',\n",
    "#                append_images=frames[1:],\n",
    "#                save_all=True,\n",
    "#                duration=100, loop=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}

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