{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>.container { width:100% !important; }</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import randint, uniform, normal\n",
    "import scipy.sparse as sparse\n",
    "import scipy.sparse.linalg as sparse_linalg\n",
    "import scipy.linalg as la\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from IPython.core.display import display, HTML\n",
    "display(HTML(\"<style>.container { width:100% !important; }</style>\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from miniesn import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Set up static random reservoir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set up static random reservoir\n",
    "Nhidden = 1500 # Number of hidden variables determine \"memory\" of reservoir\n",
    "\n",
    "Nconnections    = 100 # Number of connections in sparse hidden-to-hidden matrix Whh\n",
    "spectral_radius = 1.5 # Spectral radius of Whh\n",
    "\n",
    "Wih = uniform(-1,1,(Nhidden,1)) # Random input-to-hidden matrix\n",
    "bh  = uniform(-1,1,(Nhidden,1)) # Random bias term\n",
    "Whh = sparse_esn_reservoir(Nhidden,Nconnections,spectral_radius) # Hidden-to-hidden recurrence"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Set up common training data for Test 1+2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set up data for training and prediction\n",
    "Ntrans   = 500   # Number of transient initial steps before training\n",
    "Ntrain   = 2500  # Number of steps to train on\n",
    "Npredict = 500   # Number of steps for free-running prediction\n",
    "xs       = np.linspace(0,30*2*np.pi,Ntrain+Npredict)\n",
    "sins     = np.array([np.sin(j*xs) for j in range(8)])\n",
    "\n",
    "# Data sets 1 and 2: \n",
    "data1 = sins[1] # Level 1: Simple sine curve\n",
    "data2 = sins[1]+2*sins[2]+sins[3]+sins[5]+2*sins[7] # Level 2: More complicated periodic function\n",
    "data2 /= np.abs(data2).max() # Math is set up to work on data normalized to [-1,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test 1: Predicting a simple sine curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f97e155deb8>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#------- Test 1: Predicting a simple sine curve -----\n",
    "data = data1;\n",
    "\n",
    "# First we split the data into training data (input/labels) and prediction labels\n",
    "# (To verify that our prediction is correct)\n",
    "inputs, labels, pred_labels = split_train_label_pred(data,Ntrain,Npredict)\n",
    "\n",
    "#Let's look at the first 100 elements of inputs and labels (outputs):\n",
    "#\n",
    "# In training, the label in step i becomes the input of step i+1, to simulate\n",
    "# using the ith output as input to step i+1. So, the training input is just \n",
    "# the training labels shifted by one step.\n",
    "# When we do the free-running prediction, we will instead feed the calculated \n",
    "# output back in as input.\n",
    "plt.plot(inputs[:100])\n",
    "plt.plot(labels[:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Second, we initialize the hidden state sequence from the input sequence\n",
    "H = generate_state_matrix((Whh,Wih,bh),inputs,Ntrans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# From this, we can do a simple least-squares fit to find the hidden-to-output\n",
    "# matrix Woh. Other criteria can be built in to the fit, such as \n",
    "# Tikhonov-regularization to avoid over-fitting, or other constraints.\n",
    "Who = lstsq_stable(H,labels[Ntrans:Ntrain])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Our trained model now simply consists of the static matrices \n",
    "# Whh (hidden-hidden), Wih (input-hidden), and bh (bias hidden), which\n",
    "# are problem-independent and are unrelated to the data, and the learned\n",
    "# hidden-to-output matrix Who.\n",
    "model = (Whh,Wih,bh,Who)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEICAYAAABS0fM3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOy9abRt11Ue+M3dnube+55kPWx1WAY7gBPAJsKujFDAKIwxIxT2KJJgCIlJ4TKkYqCqCBVcjNjGhoSCUBCCQzDY9OAOSAkjYzA2GJc7PceSjWSMhSRbzZP0pNfc5jS7W/VjrbX3PvuuZq7bPEXcM8fQ0H3nnH3ObuZac37f7EgIgbWsZS1rWcvJleiJPoG1rGUta1nLEytrQ7CWtaxlLSdc1oZgLWtZy1pOuKwNwVrWspa1nHBZG4K1rGUtaznhsjYEa1nLWtZywmVtCNZiFSJ6FxG97Kg/u5YrI0R0ExEJIkqe6HPxCRHdR0QvsLw3JqLfJ6LLRPR2IvonRPRHV/oc/ybLf/MKspYwIaLd3j8nAJYAavXv7xZC/Cb3u4QQ33gcn13LWgLlHwJ4KoCnCCEq9Vqrx0QkADxLCHH3E3FyfxNkbQj+hokQYkP/TUT3AXi5EOI9w88RUdJbVGtZC1ueAN15OoC/Wuvr8cmaGjohQkRfS0QPENG/JqKHAfwyEV1FRO8kovNEdFH9fUPvmD8loperv7+TiD5ARP9effZeIvrGA372GUT0fiLaIaL3ENEbiOg3LOd9jTqvS0R0gYj+nIgi9d51RPQ76vzvJaLv6x03JqJfUb9/FxH9IBE90HtfENEze//+FSL60d6/v4mIble/+0Ei+rLee/cR0b8iok8ouuKtRDTqvf9idew2Ef01Eb1IvX6KiN5EROeI6EEi+lEiig3XfB0RzYno6t5rzyWix4goJaJnEtGfqd9+jIje6nz43XdYf5+IvpCI3ktEj6vv/E0iOj245n9NRJ8AsKfOQRDRy4joc+qYH+59PiKiH1LX/zgRvW1wPf+UiD6r3vthWISIfgTAqwF8KxHtEtF3af1S779fffQO9f63cu7FWlZlbQhOljwNwNWQHtYrIJ//L6t/fz6AOYCfcxz/fACfBnANgJ8A8CYiogN89rcAfBTAUwC8FsA/dfzmDwB4AMAZSHrg/wIglDH4fQB3ALgewNcB+N+I6BvUca8B8IXqv28AwI5fENFzAbwZwHerc/wFALcQUd772D8G8CIAzwDwZQC+Ux37PAC/BuAHAZwG8NUA7lPH/AqACsAzATwXwAsBvHz4+0KIhwB8CMC39F7+dgDvEEKUAF4P4I8AXAXgBgD/kXlprt8nAP8OwHUAvgTAjZDPpi/fBuAfqOvS3vlXAfgiyPv/aiL6EvX69wJ4CYCvUd95EcAbAICIng3g5yGf+3WQ97h1QPoihHgNgH8L4K1CiA0hxJsG73+1+vPL1fsso7iWgQgh1v/9Df0PcgN6gfr7awEUAEaOzz8HwMXev/8UkloC5EZ3d++9CQAB4Gkhn4U0OBWASe/93wDwG5Zzeh2A/xfAMwevPx/A5wavvQrAL6u/7wHwot57rwDwQO/fov+dkJvkj6q/fx7A6wff/WkAX9O7r9/Re+8nAPxn9fcvAPhpw3U8FTJeM+699m0A3me57pcDeK/6mwDcD+Cr1b9/DcAbAdzgef43qetMDvD7LwHw8YEu/c+G776h99pHAbxU/f0pAF/Xe+9aAKU6l1cDeEvvvSmkbr7Aci6v7euH0q8P2J7l+r/w/9YxgpMl54UQC/0PIpoA+GlIz/Yq9fImEcVCiNpw/MP6DyHETDn4G4bPuT57DYALQohZ77P3Q3qgJvlJyI3gj9R3vFEI8eOQKOY6IrrU+2wM4M/V39ep79XyWcv3m+TpAF5GRN/bey1T36nl4d7fs957NwK41fKdKYBzPRAVDc6xL78D4D8S0bUA/haABt21/Z+QqOCjRHQRwE8JId7MuCbr7xPRUwH8BwD/PYBN9d7FwXeYznV4H7Q+PB3A7xFR03u/hjRIK89GCLFHRI97zn8txyhrQ3CyZNhq9gcgYf3zhRAPE9FzAHwc0gM9LjkH4GoimvSMgc0IQAixo87zB4jo7wB4LxHdBrmR3CuEeJbjd24EcKf69+cP3p9BIhUtT4OkoKC++8eEED/GvKa+3A9JR5leXwK4RjCCnkKIiyRTJL8Vkqp5i9DurxAPA/hfAICIvgrAe4jo/cKdNeP7/X8LqR9fKoS4QEQvwX6aMKRV8f2QCOL/G75BROfUNel/TyDpobU8QbKOEZxs2YSMC1xSgbzXHPcPCiE+C+AsgNcSUUZEfw/A/2j7vAraPlPFFy5DepUNJA2xowKYYyKKiejvENFXqkPfBuBVJAPiN0By1n25HcC3q+NeBMlla/lFAN9DRM8nKVMi+gdEtMm4xDcB+OdE9HUqYHo9EX2xEOIcJK//U0S0pd77QiL6Gsd3/RaAfwaZPvlbvXvyj6gL6l+E3KCb/Yd3wvj9TQC7AC4T0fWQMY7DyH8G8GNE9HR1zmeI6MXqvXcA+CYi+ioiyiDpv8PsRY8A+IJDne0Jl7UhONnyMwDGAB4D8GEAf3iFfvefAPh7AB4H8KMA3grprZrkWQDeA7lJfQjAfxJCvE9RV98EGde4F/IafgnAKXXcj0DSQfdCboC/Pvje74c0QJfU+fwX/YYQ4iykx/1zkBvt3VDBYJ8IIT4K4J9DUm6XAfwZJE0CyE09A3CX+t53QHLnNrlFXf/DQog7eq9/JYCPkKwZuQXA9wsh7mGcnuv3fwTAV6hz/gMAv8v4Ppf8B3Vuf0REO5D69XwAEELcCeBfQhq3c+pcHrB8D0deC+BXSWZ4/ePDnPRJFVJocy1recJEpT/+pZAZIsf1G18LGXA0ZqesZS0nWdaIYC1XXIjoKxUtESla5sXoeeRrWctarqysg8VreSLkaZDUw1MgKYF/IYT4+BN7SmtZy8mVNTW0lrWsZS0nXNbU0FrWspa1nHB5UlJD11xzjbjpppue6NNYy1rWspYnlXzsYx97TAhxZvj6k9IQ3HTTTTh79uwTfRprWcta1vKkEiIyVtivqaG1rGUtaznhsjYEa1nLWtZywmVtCNaylrWs5YTL2hCsZS1rWcsJl7UhWMta1rKWEy5HYgiI6M1E9CgR/YXlfSKinyWiu0mO9/uK3nsvI6LPqP/YU6TWspa1rGUtRyNHhQh+BXK4iU2+EbKL4rMgJ0X9PAD0Wh8/H8DzALyGiK6yfcla1rKWtazl6OVIDIEQ4v0ALjg+8mIAvyakfBjAaTV56RsA/LEQ4oIQ4iKAP4bboByZiKbBR3/vZ/HYQyGDqzq5431vx913fOBAx/71Jz+MO977lgMd+9jD9+Ojv/ezaGrTADG3VGWBj7z932P70sGGQX383b+K+z9zh/+DBvnLs3+Cuz70rgMd+7m/uh1n/+AXD3Ts5Qvn8ZG3/SSWi5n/wwNp6hof/Z2fwfmH7jvQb9/+nt8+sI7cfccHcPufHExHHn3wXpx95xshGueIAqMsFzN85O0/hcVs90C//bE/+CWc++ynD3TsXR96Fz599j0HOvb+uz+J//ruYadxnuxuX8RH3/H/oCxsndDt0tQ1bvsvP4fHHrYNmnPLJ973dtx7120HOvYo5UrFCK7H6pi7B9Rrttf3CRG9gojOEtHZ8+fPH/qEPvWRd+N5d/wbfPa3vz/42NnuZXz5n70cT/m9lx7otz/vHS/Bl7//uw+0IX/2N78Pz7vj3+CuD74z+Njb3/UmPP/O1+POt/1I8LEP3nMnnvuh78P8rftmrXtFNA2++J3/E5797pcebHN628tx823/6kBG6FO/++/w/Lt+FHe865fCj/3wH+J5n3wN7v/NVwYfu7t9Ec/5wPfg2t/9Fv+HDXLq974Dz/nz78bOZZd/ZZbPveUHcPPZH8SdH/qD4GM/8YdvxvPvfB0+/uuvCj72/rs/ib972w+g+NXwa66rCs9+90vxRe/8lgPpyO5bX4Gv+NAr8cDdRnbaKX/xttfjeX/xI7j91nBn464PvhNfefsP4/5fe0XwsZcvnMeX/dnLcd1bvzH42KOWJ02wWAjxRiHEzUKIm8+c2VchHSzbn/kgAOBpu3cFH3vfX3wIAHAVdoI9zcVsF5s0BwA89OmPBf/2tbtS0Xc/G96ss/7cRwEAo8t/HXzsub94PwDgb1V/FXzsQ/d29/jRh+4NPv5Z1WfksZ/5r8HHjh+X96t5+E7PJ/fLzmfklMWr5+Go8b5PyPHCU1oEe5qz3cs4o8YFP/SZ24N/+6YdqVe7nw0/tvncRwAA+U74NZ/75J8CAJ7ehHvHD97TbeCPPfy54OO/pJQ6dv6vw9fU5LFPAADqh8P3gp275T6ytXzY88n9cv+d8ticShTLhefTxytXyhA8iNW5tDeo12yvH7vQthyItCl2go+dPdptZg/f95dBxz7+cLfAth8KOxYARmr2PF0I38yzmVTW0/PwYVDlxW5xz3YvBx17qXfN5+8N89gW87327+KR8Ps1LR4DAIy3OQO8VoW25TWfaoYz3P0yO39f+/fDnwsznucf7PRr+8Hwa85QAADocdcIY7OMZ+cAAFsH0JG6pyOh1NLlc93zefS+sA25/1uLR8KveVpKHcm37ws+NtqVa+pUHY7c5o9397i/LzwRcqUMwS0A/pnKHvrvAFxWM1TfDeCFaq7sVQBeqF47dknn8uFvYRastNX2I+3fu4+fCzp253xn5+rtMC+iLJY4rQxXtngs6Fig2xRPNeFKS7uPtn9ffDRsk5hfeqj9e3Ex7H5deKT7rWjvUccnzXK6lvTbpAi/5tFcPp+rsIOqLIKOrS92570XqCPbj3SGoN55xPHJ/bK7fRFbkCg1XYRTj1vFwTe2eKe75ovnw/y5+WPdRri4+JDjk/ulv4nSbrhnfrXSkWkRTjnnc/l8rsGlYB2pLnf36PKjB4sxHJUcVfrob0POk/0iInqAiL6LiL6HiL5HfeRWAPdAzn79RQD/KwAIIS4AeD2A29R/r1OvHbuMi24jvfBoIAjpbYr9TY4j80vdpkB7YYp36bFziEjOj5gUB1jklby1p0X4xpbOu3PdeSzsmqveNVeBxm/7sW5zSQONX11VuEpI9LJVh3v10949vvR42IYc7XWfn18OM2B9Yyn2wpbDpZ4uj8pLQccCwFYj79cpsR3M1afL7h7vXQrT7Xq3+3y1G/acLz/SUUnJIuw5LxczXIVtAMCk3g46FgA2lt2z3b4Yds3RTvecZ48fZmTz4eVIuo8KIb7N876AHFZteu/NAN58FOcRIpvVReyKMTZojp3HHgRu+iL2sfH8fHtsdTlsgyguyY1wV4xbVMKVy+cfxBl1rN7UuSKaBleLi9iFPO8L58/hmuue7j9QyXj5WHvNs4thm7nYfQSFUKq2G7Ypzh6XRmdHjDFahl3zxUcfxDUksCvGuAqXIJoGFPF9n0mzg6VIkVOJ3YuP4Jqn3eg/SElSbLfHljuBm+JMbmaFSBAHevWz7cfVsTEmVZghEE2DDbGHAjEyqrG7exkbW/xs7rzaQSHksfNLgehtcRmViJBQgybQ+M0vSOM3FxmyIuyaLzxyP65Vx24h3BCcqi9gJnJMaImdC4/g6s8z5roYJZs/im1MsIUZqt0r4v9a5UkTLD5qOd1cwrlUzjEv9sKUJ18+jnOJfOBiEcaXN7uPohGEh5PrkJZh8YnZBelBnEtvwBR7nk+vyvalx5FRjYdSuZntbYdtMBv1xfbYOnChJvPHcZFOYZs2EC3D7le5LTeUc+mNwR7bjjJYD6U3IqMas72w4zfELh6K5XPeuxBm8NNyGw/F1wEA6kAPV8ylPj4UX7viZXNkufO4OvZ6bDZh17uY7yGjGufUeW8HoqBxtYNz8bXyPLYDvePlNi7RFrYxRTQP081K6eNDyQ0YBxq/2WV1v5LrsYVZcGB/U+ziXHKd+q6wa87KHTyq7lczC0esRykn0hDUVSWRwEg+wGIv7CGMqh3M09PYEyNQoCGg5Tb2MMI8OYW8CjME5Uwq+c7oWmyIeVAtwWxHLpbdkVS8+W7YNY+bGXZHTwMA1POwa47LXcyjKWbRFEmg8RNLuZntjp6GcRNm/JYqqL2by/Pe2+Zfc11V2MIMF8fS+C23wzzcUbWNnewazEQOmoVtbLS4hB0xxm76FIwD6Z3lrvyti6MbcUrsBOnIzqXH1LHSQdq9GGgIml1czOWx1W7YNafFZcyiKbZpC3EgvdMofbw8uh7TQGdhsSvv7/ZIGvzLF/jPebmYYURle+wi0BDk9S72smtQijjYoTxqOZGGYE9tEMVUeWyzsIeQN3NUyQR7NEFUhG1sUbGLGU1QphsYBW5s9VwqeTG5FhEJ7O7wNwmt8MVUGoJiN2yDmYoZioncUMUibLGl1S4W0RSLaIqkCixUWuygEYRi/FRMRViq7nKmn7M87/k2H8nsKk9xuSXpszJwYxvXuyjTU9imzeCNLV5ewi5tYJmexjTQw62VU7PcugkJNUF1CJpWWmx8PoDw2MaG2MNy4wY0giACjV9a7mAebWAv3kJeBHrHy20UIkYxvRZbgSioVGzAclM+5xDjt6vurT623AlDfuNmF2W6iV2aBiPlo5YTaQhmO0rRtqQhaAKt8bjZQ5VsYBZtBHu4SbWLRTRBlW4Ge7jNUv3WKemBzAI2tqWmRbbksRpdcKSuKkxoCZGfwq4Yg5Zhiy2rZyiSKZbxBvJQQ1DsYg8jiNEpbNAcdVWxD620gVfXHIKCdlTgLzotEYFYhj3nDbGLKtvCIpogrsKec1psYxZvok43MBLzoGOFeq50ldycNBLkyELr0ynl1Qc4SFVZYIPmaMZXY4YRKPB+5fUulskWlskGsjrsfkXLbezRFCKXOhKCgsr2fknjt9jh64jeR/SxzTzMaE/EDHW2hT2aIg50KI9aTqQh0JRBcvpa1IIgAqmOsZijyTawiDeQBdI7STXDMhqjybawIcIUXizkb6Wn1cYWsMiLPXmN6VWK5w9Y5BpB0WjzQCho1MxQJQdDQVGxgxlNQKOtlXPhiEZQ6dXymkNQkPaOs6vkpiiWfAOmg67N6DSW0QRpoCHIq20s4k002QYmgYYAi0uYiwzJ5jXynwFxkaXi2jN1v+oF/zlr2o1GpzCjMaIyzOBLBLWJKp4ib8KQX1zuYo8moHxDnkuIjihDoJ9zMePfL200Dqojm2IPTbaJWbyJtAwPVB+lnEhDsNCb4vgUdmmCKMDDFU2DKRZAtollPA32cLNqD8t4CjE6hQktg4JTVOxiJnJkm08BAMwDvJdyLhf19Ixc5CHey1xtoFG+ifkBeH6NoKp0E5NAQ6ARVDQ6BSAMBTWKwpqeUdA9AAXpBIJs42oZCyr4z3kx30NKNZBvoYgnyOqwjS1XCArpFFNaBHm4VO5iRmMkY2k4l3v8TbFUz1nfrybAEOxelrRIPDmNRTRGXIY956lCUHU6xagJM35puYNFNAXlmwCAeYAh0Nz8xhnp1VcB16wNQb75FMxFFqQj89kOEmpAo1NYxhsYBTqURy0n0hAUyhtOJ1vYow3EBd8QzPa2ZS5/vnEgeidvZqiSaevh7gZwuFGxgz2aIN+QKX0h2U46wLt15kaJggJ4/oWKRcTjrQOhIImgNtFkW8E8f1LtSXplLA1BCArSHtrpp8qNLYjqWMrzzMYb0sMNMQSqQDHKJiiTcA83EwvUyQRQHm5ItlNczrCkEdKx3BS1A8CRWjkHV1/3BQDCPFxtoNPp1VhGEyQBKKj1jvMtNOkUE4QZgqzawTLeQDyS92sRYPxouYO5yDA5JdvWVAH3q1SZPqPNqzGjMSjA+Ol1T+NTB9KRo5YTaQgqRRnkky0saIy44j+E+Y6iSfJNVOkGxoEbm6RJNhApQzALCPjG1R4WNEY+PQ0gbGPT8YXp1tXB9M5cGZxkvCVRUACH2yGoDYh8CxNaBhWzZdUMRTxFNpWGYBFA71Cxgz0xwsZpSZOEZGZUahPMxhtKR/jXvFD0QpRNUCfhHm4ulmiS8YE83KheYEkj5BOpX1rXOaJR4tbVn4eFSIM83OWONgSnUURhKKiPoJpsA2OxCCpmGykE1aEg/jWTcq7GG/LYEBSk7+1oegrz0H1EPdN4tIk6GSMTJ6PX0H9Toq3+aOMqFNEYSc1fqDMVcIzHWxDpBCMRlnc8wQxNOkWcTwAAxYK/2JJyF4t4inwiPZ9mGbAhKwWfbp7CAjmo4l9zqTa2bHoKdTJG2vCVtkVQo01QJq95HtDSY9TsoUymPQ+Xf6xGUJOpXOSi4C/UZiHvbTaeYhFPgzzcQiOCfIomnWKMQGdBLNAkY8QjbQj4xi+p5yiiEUYb0nCGeLgo9lCKGPloojxc/r2u9P2abKJIpsgCPNy52rijfAPIpkipxnLJ189UIahUG4IABymu5lhSjsmmdK5EgPHT+pRPNrCMxkE6Uqp1H+dTNMmk7SH2RMmJNATa6o83tlDFOZKAjU17G8l4CyIZY4Ql23sRTYOJWKDJN5GMpgCAcsFXnqyeoYgmGE/kBtEEbGxU7MogYpphSSPEQYZALqxscgp1PEYeYggU4qF8qzUEyz3+5jRqZqjTDaTqfmnKhiNJuYt5NEEUx9LDLQMMgbq3o8mW9HADFvlSGat4tKECvnwPVzQNxlhCpJMDebhpPUcVjTBSCCrEw6VyjjnlACA93ACqoyqUIRhNUScT5AEoSN+vKJsgUigoBClrBJWpdVHN+Ncc13MUNEKej1GJCAgJ+CpHbDzdRBGYFFCoa05Gm3IfCXQoj1pOpCHQ3vFk8zTKeIIsxBC08YVTQDZBTILtvSwXMwmBsw3EudzYigCPLa/3UCQdIhABGxsVO5jRWP5mNEJU869Ze5XjjdNokjFy8JV21sYXNhFl8pqXAShogjnqdKNd5E3AQk2qPSwjhUJoFISCRNFb5IEerjbuyWgK5BtBHm5RLGQQMZ0iUdcc4uGmzQJlPMZUebhNQBpnVM2xhDQEi0Cev4+g6nSKcUC2Ux9BRS0K4hs/iaAmyBXyCwn4xvUCRTQCRVFwLEiU8hpH4w2ZFBBg/DSCSkcTiGyKEYoDzWE4KjmZhqCQPVHyfIwmHgUZglIFovLpFihVHi6T6thTm2I02kKmqI46gN4ZiRnqZIo8H6MWBAQggrjcw5wUHRWNkAZwuDr7ZrxxKth70VkryXiro8OY9I5oGkzFDCLbQD6Wxq8OQARZPUMRq2eEHFGAIUA5QyMI+WgS7OFWytCl+TTYw13MlD5kY+QTRe8EeLgy0DxGPpoEe7hRNceSRgAQ7OH2EZRIw9JeC7UpxvkUiVoXIQHfEQqIdNyioJC0V42gAGCGMaIAnp/KGeYiQxTHSkf4x9bquaTjTVA6QURipeX6lZYTaQiiYk96iFEkF00AP1erRZ5PNhEpr37OXKgLRYlEeY/qCKCGRmKBOp2CoiiY50/qGZZK4atohKTmb+Z971hkU1lcxvReyhYCT9usjiXTEBTFAjEJUDppDUEICkqbBapYo6AwQ0DlDAtkoCiSzoLgB7j7fHmU6VgQ77y7QPMUmdKROsDg580CdTw+kI5ImkQigjIeIWkCdER7x5MNiHSCMRXstNeWJskniFWmVMlEjcVyIVF2OsaojQXx15RGUACwjMKSAqiaY6HuVxWYFFC3WWnTLnYW2AvrKOVEGgLqQWDN83OlUQqfjTe6Rc7d2BYdF5q3iIC/yEdiCZHIzXxOoyDOO64XqLTSxqMgGEulNJT5aAJoFMTc2Cq1iSX5BEkeZvwWc/Ub2RjjqbxfQYtcLFFH8poLGgUlBVA1x1x5xyIZBdFhjTrHfLwJypQhYl7zcqadhWnrLNQF/7xHWECoZ7SgHFTxnZykXqBUzkIdjZAFGAJS1zwaT0Gp2li5OqJQcTLeQKJQI1dHdOIBZVOMxvJ+aaPEkVQsUcfymkvKEAc4SFE5wxKdjuiBQBzRTMBosglS6+Kgc6KPQk6kIYjqZev5yIh9yCKXSpaPpj2en/cAS7Uw4nyMTCstc2MTTYMcRWsICsqDAr5Js0SlNsU6mSALCU5VCxlsjaJ2kc+ZAV9NGaS9jY0b8C0VVKZ0jDTNJNURsMizpkCjF3k0QhIQF5H5+H0d4S9ync2VjaeIW2eB95y1LsX5tKcjfIM/Fks0ifpNyoJiQdI7VoYgHiEN0ZFyJhvsRRGgDQHzmvWmmI16SJlp/LThpHRyIB3JG1WzAaCM8jAdqedYRj2HMuB+6XWfjQ8WLzxqOZGGIK4XKNUiRzZBRhU7t117G/l4Gpz5ozfAZMXDZW6KZYGYBKAMwZJGiAM83LRZoorVxhaPggxBHwJrpeXSO/VSI6hpx/MzYb/2KKO0R3WEGAIs0aj7JamOsEVeKESAdIScSnafoz6V1nq4XOPXCzTngR5uVRbIqAK08aEccQAi6FNpTRKuI9pwRgoFLbg6oq45n2wgHclzr7kJGK3hnICiCEtkQSgoR4eyqyiMDuvriEjHGFHJzw5T634y7TIIuQ7lcchRTSh7ERF9mojuJqIfMrz/00R0u/rvr4joUu+9uvfeLUdxPj6JmyXKKJO/rz1cLizThmA0Qao4b25ue2sI8glGmvNmGoJFzzsGpPcSh3h7omghcJNOMAL/WKoWKKDul9rYuN5eS6WNJki1IeAaP+UpagpuQXlQMK9PpYVSHTqbBECP6mCiN3V948lmGyAvmTSJ1qV0tBFMdXQ0ifpNyhEHGL+sWbQ6IuIwOiyq5lhAGwJ9zUwd0fn4ow2kytFomEhZI61IxRaWlAXFRcZigUZRaVU8QhJg/PpUWuugMZ8zyhlKESPNciQqoeCJRASHnlBGRDGANwD4egAPALiNiG4RQrQTqIUQ/3vv898L4Lm9r5gLIZ5z2PMIkaRZolSQjnRK494ONk9d7T+4msvJU3EcTHVorjfJJ4iTJCi3XXPMnSEYIw1BBD0uNBTG9qm0JAuDsX0qra6lR801fnqRx7naiIkf8B1SabJ6M+B+1XOUkfxdvbEuZruYqEItl1A5w0KkGPV0hGv8+tkkaZajFDGb6lju7WATnU6H0mG5kIFmAM/ilJcAACAASURBVGjScRAdFqtCNgC9ADnzWemYynQTiEj+PpMa0i00NPKS2WG8a27qGiMq27iXzCDkr4u0WWCRSH3Q63Ix28VIpXe7RNdspEDnIAVkEB61HAUieB6Au4UQ9wghCgBvAfBix+e/DcBvH8HvHliSZol6oLTc3PaoWmBJ0jsOzW3Xm4HeHGQwj5lfrgKnOvhYxaOgCt9MdHy5pMNqdsO7PpUWSof1qbSWDmMqfJ9KA2TAl4uCWiot1VTHGHmA8ZM0idKRVAd8eZt5P9Cc5ZrqYF5zLx8fgMxcYurIQvHlmr6TxZL8a5Y0ibxWJGPkVLIzf+KqMwRJi4KYacJtPn6XKcXNDtNIS2+mRQBS1tl+2tDXgZRp1teRdh/hPeeomrUJK5oyDckgPGo5CkNwPYD7e/9+QL22T4jo6QCeAeC9vZdHRHSWiD5MRC+x/QgRvUJ97uz582GTgIaSNkvUii+PleJxawGoWmCpaJLQ3HZRaJpEeQ8YsT1cvfHGK0ob4u11NImuf+DSYX0qTRuCistn9qi0lg7jct7aEGgONeLHRYZUWqghyETHl4fSYf1sko4O4513l4+viskCMn/6fDkQToeNRIEmlfdaG1Auz580HU0SGhdBOUOhaJJQOkwXj2nnqiS+IdBZOno9hGb+6JoNoIuLcJ0F6VAqZ2HyNwMRhMhLAbxDCNF3M54uhLgZwLcD+Bki+kLTgUKINwohbhZC3HzmzJlDnUSfJmkj9lxEUC9QKESQT8JSGju+XG9sfKqjUIuqNQTJJGiR92kSTR0UTEMguVBpOHVcpOamcSoqLYpjRHEs2/UyvT29eaZ6Y4lGSJmLfEiliXQiWzcwg3n9bJJY03FMjy2uZ202SaaCn1w6rKVJlG4VlLGzwzRNonPxQzJ/6qpCTmVrANq4yJx33mmzbAuzQinTqJxhoTbFLvOH95w7lK3idVGOmLkulr2KZiCcMtWtLYCeIWA6CzLjSF5zWyPzJDcEDwK4sffvG9RrJnkpBrSQEOJB9f97APwpVuMHxyKSJlnd2LgeblQvW5pkrFs9cFNAezQJEJbbrheV5stDWj3IbJIaUEqrPcYFsxBO5uOvKi0XBfWpNCCMDusWuaIaYn7Du5ZKUxsa0jESalAys8NGWLSGMwks/ovrRZtNMpqEoaAu0KyoDsoRMXPbhzRJSOZPR5OsbmxcqiNr5i2CCs38oV6gucv8YSKoZZdxBABVlLOLJbu6HoWCkhHGxG/1MBYLCO0sKGNSMjfzpJ6j1IhAOwvVE9dv6CgMwW0AnkVEzyCiDHKz35f9Q0RfDOAqAB/qvXYVkdxViegaAH8fwF3DY49aciwh4lUYWzMXatzzjrN8JL0X5gMUysvR8DckmNfPOAKk9zJmUkMdTaJRkA7m8ZS2T6XlgTC2T6UBKpjHRAQdlaYCrgF0mF7kcaY9XF29yTN+kiaRx7ScN3NjS+p5W60aXORUdDQJoKmOg9EkIZk/Q5oktFgyE8vOuWozf/jOgk5GAHTmDzPg20tGAIAqHiNl6ki/rgcARBqW+ZOhhEh0EkUYHZY0BepIU8zqeQWkvR61HNoQCCEqAK8E8G4AnwLwNiHEnUT0OiL65t5HXwrgLUII0XvtSwCcJaI7ALwPwI/3s42OS3LR0SRprrJKCt5DSJoOEQBAgZSft1zOUYgYSSoVoI5SxKJkHaq9q84Q5MhQsbyX5YAv18FPbtFOn0rL9KJhQvc+lQbI6s2o4XnleiPRHlMTj5Ayj20XuVqgbbYVY5E3da1oEnlsm/nDNH5pr3gvSTMUAZk/VK8azjIgt71Rz0RTaSGZP+VS12ysBj+5aa+pKFtDkE8CDUFToKK0/XdQXyjl/et13MQ5mzLVaz5OFRpJ+bGguqqQUAOoa07UuuCioFiUrSFo6bAnEBEcOn0UAIQQtwK4dfDaqwf/fq3huA8C+NKjOAeuiKaRhR9qY9AbaxNgCJZJlx5WUApiQlHtHetlXkc5e0Sdpkl0FgqSHBEJFGWBTC0Cmwz58jhTBTRMpe1nHOlNmau0fSoNUIaAeb+GVFoTZ0jBM5xlS6XJYzUaKhjXXCznMtQbq4WqUSNzY+svcgBBVAfVBcrepljFOXscalPK+6qzrPqZP1EcO4+tlP6T9nDbzB+m8UMJoe5Xl/nD3BQHhiAk80fTKdpBCSmWrEptCIb1Iv7nXCznGAOAul86y4vrLEhE0LtmpKAnOTX0pJL2IbeIQCkQ08NNm65/DQAUyPiGoF601ZeANAQJ02NrA6dqkVESsLGpfG7N++qNomZecz/Q3CICptL2qTQAqKIMMdOr76g0xbPHOTurQ8cw9PONlPErGdB9uVzdFNtFzjQEiSgheos8JPOH6gIlumNDMn/0M9HeMQVk/mhDEKWrhoBLdWSihIgHsTMmBSgRQR818uMiVEl9SBXKbpIxX0eU4dSIoI2LMO5X0eqIdhbC+kIlKNH0nYUAOuw45OQZggFNkqoNgsvPpf18fAAlpWyllVxo9/CbOEPKNAQ6iJiNNdWhDAHDe9FenYb7LYxloqBcFG2rhjhJJNXBvF/9tEIAqChjZ3WgmqMQCeJEAleR5MiZVFqXejrI/GEYTv2Z1hBoD5dNpa0u8pC+UFGzighCMn9aQ5Dp1hj8zJ9K1ZRoaig08ydF1SKCNMuDMn/iplzxjsuIPyxK1EssVR8sQDoLOXNNNQNDEFIFXipdII2CNGrlGgJRool7xg98ZuE45OQZgsVqNkkbsWcqbdbjywFNdfAUb6XHESSfmTI3NjFIPQ1BBMNAc5Lx4yItX64LjRCmtH2+HADqKEPCRARULbDoGU4ksucPJy6ig/+a1tHwv2I850ptENrbGwV6uIko0fRhf0Dzt6gpUPcMQUjmj1B6mGQDD5dB72jvONIe7ohPhzV1LVtB9za2kBbYkkrr0WEBmT9Ulyj7DHc6YbdJbwaGMw5ojaENp3YWQtukJ6JaQY1FAGV6HHLiDEHbm0QtkrxN3WIagh5NAoR5uJIv7xaLiHM2592vvgQ6z43j4Q4NQUeH+Y9tqbS0MwRFAIxNm2KFSqtjPh3W73EEoOVjC4YBE5oaUoZTZw/VS4YhGFJDgXRY3zsGtI7wrjlqyhW+PIQO6/jy1Ypo1sY24Mu7zB8G9aifR3IwqiMZICiJgrhU2nIFQbWZP4x10cZUcp1Np1Gj/36VAyotH2uHkoka0VFpgNSRKKAu6KjlxBkC/ZD1xpCmGRpB7OBnLorVBxjl7CwYSZN0x4bAWFQL1IJaLjRqA74c2L+acaS9ZA4K6tIKO+NXIAUxUVA6QFBNlCFhoiCZcdTdL2obe3EW+WqgOVZeMofD1Ztiy5cnqZwIxzUEotynI2xnYRA4FXGOjHm/oPjyLNOGQM2f4CA/5eHq+9Rm4ZT+8y4GhhPQqJG5LgYIKkRHZEylQwQhOqINp0bIbSo54351wXVVX6OMCLGZhXLFWQhhFo5DTqAhkAqirb8sYOFF7EXTtGPxtFQBVEfSFCs0iSxpZyq8yjjSXGiHCPyKp1PaNNzPAgLkmlaIetcckgLazy8HJCLgxkXiQUxFbzScuMgw4ygkQN4GTpOuyCkkqyMbeHs1pYgb3nOOe/nlgE4TZhqCeolCJJ2OZNrDZeiIui96U+xiZ/5rHsZUAKCilO8giWIFETRRxqZMhzEVfQ4cpDyMqSQp3/hVw9TTKMJSpBBcyhSrhkAmUawRwRWTYX45oFJAGTC2KBaISIB6fHkdZWyqI2lWvWMkORJqWLMQqFrNONLBT87GNszH172OOAHfLtA8MARMhR9SaSLiB8jjZjWm0hk/jiFYLd7TdBincHCYQQPIpABOXEQ0DTKqQHE/8ydj14skTYmaepx3LHWEMwth6B3rTYqlI9Vq4DRIR4r9iKAKSKIYBtebOAA1DjKO9DlwUFCXZbWaOMJxkGqDjhRIWCioqWtZ6d93FgIcyuOQE2cI6gFfDqgUUMZDaEcn9miSOsrZD7A/OhHolJaTtxxVi7ZbIdDxmhXD2xv2OArhvHXqady7XyHeiyze64xICOed1KuBZgqIi6Cco+wV73V0mP+8a2WY45VFngKMRa5bWIgeX15HGbsQLh5sim1chHHNVBcoet6x5vs5VIeodKA5PE1YB5ppQHVw4yLDmEqIjsiYSmf8gpyFFhHolFk+ItA6EqX9a+bRYaXhfoWkkh+HnDxDoPoCpb2NrSReLUA5SD0FdOYPkyZpliupp7qWgdO3PaoXKxC4ozoYEHhgCJKASsaqrTjt0WGUsha5nAnQleEDig5jenvxgEprC+EY7bOpXsrNW0kIHaY/k/QMfomUxeEWBppEerh8vrxPDYXQYcMahCQABenNr6VJklTGzhjXrJ2RvndcR3z6MBnw5SFxkagpV7KsQuIiqOVv6JhKW5HNQQQWHeEYAh1TQbJqCNI1NXTlRHtHycAQcIZWt4s8XQ1+cg1BihJNsp/qKBjei+RCO8XRi5yT1aG9vX4FMrc1xrDoBuDD2KoqEZFYSSsUSS6NAyO9Lx4EEUNaY8gK3c5T1MFPToC8veasu1+S8+bw5er7e7A/JPg5zKDpOG//edMg0BwHcN7DwGlI7KzLoOkhZUrZSDnbhwgypOCNBY0H1JA+B46zgGqJQsRt1XVIXKQx6AiXMjXFVEKcheOQE2cIGl2JOHyAnI1NZ5Mkq0rLDeZlKIHextZSHQxEEDclqt4GkWYBFdGDMnxApfcxlFZ7Pn2Fl3RYgOHsKbxujVFV/ns29I5DWmMMveOQDo8tIsiGrTEYsN/AlzcBacJD75hSfspsNGhP0daLBBiCNO/HgnhxkWGWFaDoQ4bxE02DnEpQ3NeREVKqWXGRYTFaGxdh3K+hjmhnAax1sWo4AX6A3KYj2doQXDkZluEDKs+bo/Bt9eWQ6uBC4Golm6T1cBmbedwUK0HEdBRgCOolKhG1FboAvyisQwQDQ8C45taLTfpxEX6Hx6F3nLScN8MQDLJJWiPIQEHaWYgHGxtrkQ9aD8gv4jsLKYYoiB8XiZoCNfooiK8jbQ1CFh4XqYv9qLFhokZTTCUkLjLMONJp4TzUuFyJqYQ0VNR1R0NDwKFMh32dgLCaouOQk2sIVjxcXmCrMkBgGdjiI4K+txdnAYt84B2HwFiqlqvVl+BXMjblfoXnZnWYPJ+Q1hjpwDuOA1pjRPWAJmlbYzCuuaVJetlhTKpDVyWvOAsBFeQpqhUqLQ7gvKMBatTcNydA3vLlfUTAjIsMM44ApSOMddGixj4KUkahYNBhwxqELlOKE0cqUPUNp64pYlxzG1zvBYsrLrNgiKkE1RQdg5w4QwADIuCmgLY0SRoOY9u2tb1NURsCTuvaRKwGxUJaY1BTrnjHgE7v4yzy/d4xF8aWhkIjCvH2sNqPJSQFNGoKVFi9Zm6DQL1xZn1vj0l1DPPLgbC4yLAYLQpIAY0HOtLGRTj1DwbUyI2LmFBjw8yUarl8g45wev7EolpFjQF02HBdyHqRhBUXaQxUGjt21rYwOVhN0XHIiTMEuh/LEBFwlLbrX94dy93YTJ5PCIxNmlWaJKg1Rl2sZNAAfO9lmE0C8GGsKaYSQnUMYyod1eFfqMOYCqA4b8b9MtGHDRM11ga+HHHGjovsQ42aPmTcr3jQ2jjEEFC1NOsIx1kwokaejjhRIwMFDWsQkrYWgOksDBykgnh0WMcsrBqCgzoLITVFxyFHYgiI6EVE9GkiupuIfsjw/ncS0Xkiul399/Leey8jos+o/152FOfjPNdB21pAKi0LEVT7c4fBpDpMKWOd98LkQnsbREjbg6je7x1z2x6YNkUujDXFVNqsDkam1DCmEtIaIxKDwiwEtMawoEZOdlhXldxtEFxnoSoLxCTMqJFxzcPgehcX4dEk5eB+lcy4SDcHYdX4sQyBATVGbVHYQVCjTgE92Lpgo0ZDJl4d8ehDUyaeNn7c6WhHLYceTENEMYA3APh6AA8AuI2IbjFMGnurEOKVg2OvBvAaADcDEAA+po69eNjzsoluW5tHnQ3k1gK0Cr+CCHhdQE2eT1sLwPB8YlQrXGg325Wh8IPAKcBvjWGKqXDbHphiKlGLgvznPfSOQyo/h60aAH56nwk1clNAu8DpatdUQNaLTDdPW48tlnO5IFcQAZ/qSJoSTT9rSNeLcCp8m3IlgwZQrTEY12yKqXBrAYbN2/p/c3UEK4aAj4KiptiHGitmXMSUidfEOSsuYsrE07VJPh05LjkKRPA8AHcLIe4RQhQA3gLgxcxjvwHAHwshLqjN/48BvOgIzskqVBcoBvaPC2PbUYC9B9jWAnhSQIf9a4BeYy8mBBYDpeW2xogGGUdAQGsMg3eMZMSCsaaYSsysBTDFVELaHgxjKkBAj6S6QCMISdJrhBbnLENgCpy2nLfnOZdFoT6/f2Pj1IvEA+8Y4E++MnnHXA9XtCnZ/eAnL1OqWxeGNGHGNaeDIUAhSRSxATWW3B5J9RK1oJWYCttZMMRUOofyiUEER2EIrgdwf+/fD6jXhvItRPQJInoHEd0YeOyRyXAUIKC9lwBEkPc9XB7VYUIEIZWMwyZVAL81xrC1McBP7zMhAi7VYYqpcFtjmGIqeUAtwDCmAvBbY0i+vGveBuiNjQ/7kxVngVcU1g47WUGN/KKwYbotwB+lakKN3Gw6k44gyRGTYDgLmj7s3a9EOwucdVGtVK63zgILNZb7UCO3FoDqcl9MRcQZax8RBmchCqgpOg65UsHi3wdwkxDiyyC9/l8N/QIiegURnSWis+fPnz/wiQxTxoAuq8Mnw+pLoPPwS4/3Ympklgb0c8kG2SQAv+Bn2JgLUCXtDKUllVaYWqgOl3SL3ER1+ILrhphKQGuMYUwFCJgLMOjZA6hqVxYi2B845cZFdAA9MhgCjo4M020BftsDU+BU1oswMlkMqJHbR8uIGtuW4e5rHg6QB3q1AIxrHmZZAapehLGmhnMQANVQkUUNOZwF5oSzo5ajMAQPArix9+8b1GutCCEeF6Ids/RLAP4u99jed7xRCHGzEOLmM2fOHPhkTZ4PkhEyqtDUtfPYdgLUitLysjpM1FAWkPkzbMwF8AvhhtWXAD8uMhwFCPRbY7ivuWlzrTuF51IdJu8Y4LfGMHnHXKqDmnK/sxCPkDHaHohyP1/eenseD9dUaBSMGqMhHZYyUeN+Q8BtnzIcIA+gpfR8KMiIGplJFK3+9Q1nmrGTKJKm2I8amXERUyaeSEZIhV9HTJl4XWsM3jyDo5ajMAS3AXgWET2DiDIALwVwS/8DRHRt75/fDOBT6u93A3ghEV1FRFcBeKF67djE5B3rYJNvYzOV4XNTQGtDoVFLdXgU3jQKEOAHPxOxP3AqmFkdpphK1//G7e2ZYioJc2NrM44GhoDbGiNBtW9T5LbGGLYekF+YscZkdl08+ymzKvjpvWaTITgsauQ5C8PmbYDUEQ4ioLrcF1PhxkVMGTQJs33KcIB8+zrXWTDEVLh0mCmmwo2LmDLxooBCuOOQQ2cNCSEqInol5AYeA3izEOJOInodgLNCiFsAfB8RfTOACsAFAN+pjr1ARK+HNCYA8DohxIXDnpNLTHx5C2OXi3Y+rUmGowCBHoz1PMAum6TnHWvKpHYrT1EsMAJWaBJAZnVEjIU6bN4G8LM6TDGViFkRbYqpcNsemGIqgKI6WAhqP03CbY1hQo26F05RLFoDbhITX94VDnoMgaH9dR6QBZMYUWMKYgzFsaJGzsZWy8r13IAavYjAaAjk3764iBU1MttBD6uSAbmmcuEfVSkdysH22asF6FccD8WoIwmPDjsuObQhAAAhxK0Abh289ure368C8CrLsW8G8OajOA+OmDJotEfhhWWDUYBARxP5lLZLGetlk0QRCpG032uTYikNwVDhq4jX2yQRldEQcDo8mrzjLs/bfc2mmIq+X8JzzaaYCqCDeYzCLIN3zG2NMWxPAQDQzd+WTEPQQ41tjySP8TMNO+HWArTDTgY6UjP73ySiwCLeWnktFDX2f5lSHmo0bYotIvBccztA3hQXYVyzKROviXMkBZM+3OcsdMyCyxDogrXU6FA+eamhJ5XETbmPGuLCWNRLlL22tUAvq8O3UA2eD6BgrEdpTW1rAaChFHHj38yHjbkAgOKURXWYPB8u1WFa5FyqwxRTATTn7d+cTDEVEaVIGBxuJOw64u2RZCg0ipmZP8MB8gAQxbHskeShd9oq3CEiYBYOxmJ/Bo2IM+QHRY0Jj/M2oUad+eMrHDTVIAD8ALkJQXFTQGNDTAVMFGREBNqh9DhIxyUn0hAMIbC25D56h+pyX/O2mOnhmjIFAKAk/3g7U28SgF8LMCzDB7puj762B6aYSqyObTypgW1wvXfNurul8NBhJu8YAGok3vS+NqYyNJxMD9eMGnnOgp5Zmxqyw3zBz+EAeS2cjc3Gl8tmebyW3yIaUh0jlrNgQo1dLQBvU+zriG7bwHUWKBmsKWbmjxE1Muclm9YFd3aEqbtBlya8RgRXREzecevh+h7goG0t0K92DadJAN4iNwURAaCJUsQMD9fkHRMzQG6KqXDbHphiKlyqw+QdA7odtD+mok509Y0oZdFhpqrkLgXUhxqLlWEnANhD0U0N/gDZKdYXF7GhRm7/G1OWlY6LlB6Db4qpcLummrzjrI2L8NbF8H5V4NUCmOJITZIjZdSLGB1KZn2NKRNPU0lrRHCFZNiPBegNvPYigv2eT9J6uB7v2FR0A6CixEsNtW1rk4PB2GFHS3niPJ7flFbYwViP12WIqcRJItP7PPdLo42hd1xT4t3YbN6xiHMWNZQYMmi01+nL8zbqCDPga0WNjKHoNtTYxLwUUBNqRMJ1Fop996szfuGIgDs7woYaZeGgW0e6AfJD+pCHGmUm3oAOS3mo0ZSJx6WYj0tOnCGIxf60Qq73Mhx2AvBhbGNBBJzgp2kUIKA5by5fbqbDfDDW5B2zRyDWy33eMcBr/tZYNsWascht3rGIU1Z6n4kvZ+uIoRiNO/DENOwE4LU9sKNGJn1oQo3Mhopu1OhByrUhppIkKBmzI7rJaPvpMF+AvEWNA2cBccbKphu2v5bnwauINsVU0pSHgo5LTpwhMHk+OiBZex5CVK9OgAKAVOeLe461IYKa0eTKNAoQ4HHexlGA6GV1eDYn6R0PvBe18Hz3y5iPDxkX8SECU1ohoALknoVqSz1FLNP7fLMjTDRJu7F5F/ly3zVzA+SmQiOANybTNOwE4HPeJtTIjYuYUGPCnY5mQI0ADwVp1JgY6EOfISgLM4KSDRUrb1zElHraDcXxG4JhwWLQ7IhjkBNnCExFJNyS9siQccQtaTe1rQVkCqivFqAx5JfLE0qReDhv4yhAAFHMS5mNDZuiTu/zTb4ytTYGdHqfx4BZvOM68huCytDaGACgUJFvYzMt8q7y00OT1PuzrNpnznQW9qNGf7O80pJlJZIRi+qQnV7NnLdXRwyokR38tKFGRvsU0wB5gIeCbKhRz9T2xUVMsUYuajTFVNoW3pzOp8cgJ84QDNvWAr0sGI81lm1rB15AnPDG27UQeLz6MgPGag9j6PkIBow1DpBHPwXUp/D7aRJdNeuDsTZEULG8PbN3zKHDTFXcQC+Y5zH4wwHyAL9w0JRf3nq7Hs7b1P4a4OmIDTVydEQ0DTKq9qHGrlme2/jFTbUvRsBNorDpCGcugC2mUjNiZzbUyA34mpiFDjX6YypWh3KNCK6MmCAwd7xdLAxFJNzxdtX+UYCAqg721ALYNjYRZ35EoGMAw0XO9PZMNAm31a8ppgLwOG9T6ikgM6W4i3zoHevgsW9jSw2okZv5YxqRSVGEpUjb1FKb2FGjn+qwoUZOUZgNNcZMzlt6x0MPl6kjhpgKwBulakONnEFTbUxlmFmmM6U8sTNTTKWdL+LVkf37SJKkaAS1qaVXWk6eITAETrtqV48hMEBgQPKZ8FAd0vPZT5PUUepVWtMoQPlCjoxqZ7O8zvMxp8z6lNbkHbeL3LNQjRW60MaPGVMZICgO523zjrnZYSmqfRWn3FoA04hMANJZ8KFGU/M28OpFbKgRsV9HvKiR4SwM1wW3oaKJLwd4zkI3KGp/Np1XRywxFW5cxLwudJeB8JgKRRFKJN76muOSE2UITG1rgS69z+ftJWJ1ApSWktHbxNS2FtB53m6v3jgKEOg4b8d5V5agmM608MVFUuznyzNmYMvkHQO6/437mrV3nOf76TAfCur6Og0WOTMukor99CE3LhIbUikBVQvgK3IyDJAHeLUANtQIBtVhQ41ty3AGlTZEjVwdsaFGTlykpdIGhpODgqr2fq3qV9cjyZ0plRkRAW8fMc1BALSzsKaGjl1MbWuBXnWwZzM3FZEAPM7b1LYWAESUeKmOtp1ztqrwHZ9p39hsZfgt1eFZqCmqfZtiy3l7vBebd1xT4u9/Y8my4swFaCzeMaXaELiveTgiE+i1z/bBfmHXER/VQdXSiBo5cREbauw3VLRJV4NgS6JwoyCTd5y3tQAHQ42cATGmAfIALy5i62XFKS61ZeJxZ2rHhkw8gN8g8DjkhBkCM03C5bwTGIpuwIOxUVMaveOG4e21FbrDRR77NzZb9WXMpIZMMZUojll53qYB8oAeEONReIt3zKkOri3ZJJz+N6YB8kCAjhiGnQC8HknUlEbvmEN12FBj1/bAjwiGqLErcvIkFKDaF1ORDRX9PZJsqJHTDtoWU5GIgKkj+wyBf3aELabCLQozZRwBOmV2jQiOXdq2tTbO26fwYn8QEeAVhZmKSADeIu/SCsP5zNrCl7d8pkdpTd4xwMvztsVUmshfHSzHRRoQFCPPu7HcrziV3+eqfzCNyFz5Ls81m0ZkArzgpw01crqm2lGjchYcBt+KGplJFBlKwICCOO1TXKjR2yPJElOhOPf2SDJNRgN4DRVtMZUgZ8GiI2tEcAXExpdzlOr26gAAIABJREFUe76b2tYCvAdoamQG8Dhv4wB59Ntn+xHBMIOmbRPhii9YvGOA1yzP5h1zOG/pHRu6pMcZIhKoa/s9s1Ulc2bh6gHyw2vm1gKYRmQCPM7bNOwE0C3DD4gaEz/VYUONSVvt6o+p7GthAt5cABtq5CBl0wB5oPPUXbUApgHy8t/+mqJ2vQ0pU7aOOJiFdR3B8YvN80mZnLepbS2g87x9fLmZCxUMqkNYahDadEjHxtZYFL7r+R7uHQPS2/NlStm844bTEdOSX85plqcRwf5Frrumurxj7e2Z4yK+FFDbIufUAhjHqELpiCehwIYaOR6uFTUy4yI21MiJndlQI6cWwDRAHuDVAthiKp2D5I+7DR1KbnFpIiz7CKOz7nHJkRgCInoREX2aiO4moh8yvP9/ENFdRPQJIvoTInp6772aiG5X/90yPPYoxda2Nk4SORTds8gzQ1AM4C/yfSMyAYAR/KSq2DcKEODx/DYuNNXN8hwoqPOOTYvc773YvOMmzhB7PFybd4zW+Nl/W2f2DL1jzv0yDZAH+EOETCMyAV5FtB015v4eSRbUyKkXaTOOhjECRlq1GzX6Z23YUCOnoaItE49TC9BRaZZMKcdztsVU2n2EFWs0BMgZnXWPSw49oYyIYgBvAPD1AB4AcBsR3SKEuKv3sY8DuFkIMSOifwHgJwB8q3pvLoR4zmHPgyM2CAzoRmjuh2BqWwuoRe5R+FhUxmwSTmBL1EsUSDCKVu02pwWArfoyZcRFbKMAAd011YMIDK0aAF5RmM077uIidm/PNBMW4A3/sDVvA7SO+NNtbc5CVoc3bwMAJBkyknERisy+mw01xoyh6KYB8kCvR5LD4JfFEgnMqJETF7GhRta8ZEtMhRMX6ejD1fvFaY1hYxYAXkNFU3cDgNdZ97jkKBDB8wDcLYS4RwhRAHgLgBf3PyCEeJ8QQq+CDwO44Qh+N1g6z8ektO6Ifde2dv/Dr8m/sUkIbFrk/kZotmI0Ds/fWKovu+BnuHcM8NL7EkNhFiBb/fraQZuKbgBeppRpFCDQa3vg8XAB8yIvGcbPNOwE4MVFbKixPy/ZJjbU2NaLsPhyW+zMRR9auniCNxfAihqj1BsXsaFGzoCYLvXUkkThrM2xO5SlZx8B7DEVTmfd45KjMATXA7i/9+8H1Gs2+S4A7+r9e0REZ4now0T0EttBRPQK9bmz58+fP9CJ6gBQNCzMgrTkLs7b2rYWakAMyzs2U0OAm+e3ZRy1sN/hvQiL59P1fLeft8s75mRK2bxjTsGPzRBwer4LSzYJK0BuafkN6CwYRlWycWPzVwfb6lS6uQCOa1aocYgYOHMBbKiRM0TIiRoZG5sNNYKBlG2oMURHhnUqnHnJdVt3YTAEjNiZLaZSMzrrHpdc0WAxEX0HgJsB/GTv5acLIW4G8O0AfoaIvtB0rBDijUKIm4UQN585c+ZAv28tw4e/4Ke0DMoG1CL3bGw2hdcw1lXwY2vMFbfei4Mvb7nQQe2E8hRdwU9b0Q3Ai4vYvGNZFOZb5OYUO32/nCmNdYFa0L7WAwnDw22HnRhRo5vqaEdkWuIiPtQoh53YnQUXCrKiRkYKaIsah6mUul7kgKiRUzhoRY1x7o+dWQqzWF1ALfRhGztzxt3siMAXO6uryhpTaRhxpOOSozAEDwK4sffvG9RrK0JELwDwwwC+WQjR3mUhxIPq//cA+FMAzz2CczKKrW0t4E8BtbatBW8ouq2IhNP2wOb5JG3wM9zz6Qp+XHy5OYgIyLiIr322zTsWUeYNftqqL7vgp2NTtFTo8oKfZr4c8BcOulAjR0diq7Pg93BtqJHT/0bovv65CQW5GypqKs20LuooY+iIHTX6dcSNGp3rwhJTSRl9tGwxFcDfbsaVicedOHgcchSG4DYAzyKiZxBRBuClAFayf4jouQB+AdIIPNp7/SoiytXf1wD4+wD6QeYjFRsEBmSMwI0I7DQJz9vbP9Go/32uRW6jSbpKRvtv25q3Af6CH2v/GmhE4MjltwyQBwCK0zb4aRObd8xJh4SloyUn+GkbIA/I9D6Xs1DY5iCAN0RI6oiD6jgIamTQYbY5CIA/LuJDjb51YUONSHLEJJxt0m0xlXbQlOOabTGVFiEwqCEjIvA5C46YikwTfpIaAiFEBeCVAN4N4FMA3iaEuJOIXkdE36w+9pMANgC8fZAm+iUAzhLRHQDeB+DHB9lGRyqtwqcm2O/2Xlx8OacWwOb5cKiOyDBDF+j1SHIV/FjK8AF/UZjLO248XVPbHO7YkCnFKPgxjYuUX+enw6gpjZti1qbMOgxBS6UZnAUP5+1GjRxDYEGNLdVhz5SyokbNeTuesw01AorzdqJGc8EioDxcbxzJjBo59SK2mErXLM8dUykNMRXOXAC3Q+mmTF0xFY5DeVxy6PRRABBC3Arg1sFrr+79/QLLcR8E8KVHcQ4ccXk+NbmLOWxtawEen5laahA4Ta5siICTAqpjAMOcesCPCJzesadralEsMYJZ4akXIDcZKEA1MjMucj/st3nHKaNNhMvb88VFXKiRMwvXOEAe3eAkn3dschbaQjgGIrChRifn7UAEcmM7WEyFUy+SiAKLeGvf65x6ET1AfnjWei6AS0c6h9KsI659xBVT4TiUxyUnqrK4cSi8L3WrcmQKiNj/AE1ta4F+5o9daW1ta7t+QY6AXF2gELEx/7zyUB21bQ4C/B0xXd4xGOl91k2R0TXVSqWlGWpBTthvG3YC+IvC2hGZJs6b0SPJ5h1zOG9bDQJrFm6lJ6OFUx1+1HiwTDxOvUhsodI4PZJsMRU9F8AVF2lrEAxOjNQR+17giqmIOH9SxwieNGJrWwvoDAc/NWTyFH1NrmxtawHe8I/YQg3p63Atcpt3DPgXeeNAUL7Alss75tQC2LKsOJy3rbUx4G+WZxuRCfg7YrpiKpweSaZ2zgCvR5IVNTI47zZwaqE6nDqiJ6MZjIiI3H20XDGVqHUW7IbApiNd7CwcNQJyLoArBdTJLHh0xBVTEXGKbI0Ijl9E6/mYI/Yub89FGeiJZ5UlaKtfH05GAzrY7ypptwVO2+twbGy2UYCAvxZA3y/bNbs4b+sAeXSct6tAyuYdt96e437ZNkVANkJzwn7LiExA9UhyeHulowaBw3nbUGM3FyAcNXKyYGwD5AG/jtga/AH+ehEXauRUzdtiKkmbAurWEWN7Cvgzf1wxFV+PJFdMheJc6r0DNR6XnChDYBsgD/hhbJs7bHj4viZXtra1QA/2H8A75gS2qF4eHBE4vGOft2cbFwkAUawD5G5qyJRN0qaAuhCBpX8N4KfDXHy5j/N2XbOPDnOhxs7D9QROTXQYg/N2ecd15O6a6naQcmdcxIUaOUjZRh9y5iXbYiqAP3bm0hEfZeqKqYhEokabQ3mccrIMQbU0FhoBfqrD1rZWvuimOtrFb1B4zjCL2JJ6GseJHHjt6JHkoklqLyJwe3uuRe6qQeAscll9uf/YlFEUFjcFKlO1KjiLXNMkliwY5yK3b4q+tge2YSdADzWW9t82DZAHVL2Ih/N2oUZfZ11XTMXXR8sVU+liZ/ZnZUONnLkA1r5OYAyacsRUfNl0rpgKBzUel5woQ0CWJlWAHxFopTrQInd4PjEjfdSWcaQXuas6WNIk5uSw2tMaw+n5eOYoOBGBZ5GLpkFGlTGIqI24a5EnFpoEUPUizkVubk8B+KmOxqUjHjrMhRo5nLdt2Angp8NsA+QBTXUcDDUizpBSjaauzd/tiKl0SNmHGg2GgIGUXfRh7akgd8VUGk8fLVcmHlo6zN3G5DjkhBkCS9ta+Dc2V+5w1ObFWwyBgy/nwNgE5slogA5+2jcnsozIBPxZMPqchgPkAch0SNcid3jHvkXe1hcYYiqcorDY1tcJekCMA3rbRmTCXwvgQo0+Osw27AToagFcdJi1lxUUCnIYP9sAeYChI46YStsjyfacHTGVtmuqiz60IALOgBjbHARAUaau7B1HTMXvLNjvV5tW7cimOy45UYYATWlsPQDoHF5/UMzk+fgCW613bPJwGd0OM5gnowE6sOUOIppGAQKMknbdxdOxyEvLedsGyAP+jpgu75gzR8FGkwD+9tm2YSeAv0eSbdgJ4KfDXKgxZQyIsQ07AfSAmIPRh77WGC7U2MXOPOvC4Cy0fbQs3rErppIxAuRxU9njSB5qyBVT8dUUuRxKjRptDuVxyokyBJH3AXIU3mEILBtby5cbFD5hKG0qzP3LAX/wM3YExRpft8O6sHrHHZ9pVlrbAHmgMw4277j1iByL3DVNzuUd+zhviRotzoKH87YNkAc6r9cXRzIbP33NjswyF2r0bGy2AfKAv2uqK6ZCnhRQF2rsagHCYypdH62DOQu+FFBXTEUOEXLtI/Y09KiNNa4NwbEKuTwfTzqkq5rQ1+3Q1dqY0wjNBoEB/5xT2arBssg9Je22AfJAHwW5EYFJ4X0DYpzZJLojphMRmIPrAKNrqsNZQJI7Oe+u7mK/dxz76DBHNknCQEG2AfKAv2uqEzX6Jug5Yiq+Plo8HTFfsws1Av6kAFdMpfaMUqV6aY2pUJw6a4pczELXR8vdsfU45EQZAleACHGOjGp7Dq9l2AnQUT62gK+rbW0X2DI//LqqkFBjzDgC/F1TXYjAB/tl9aWlC4lnjoJtFGD/NVtHzM47dsVFXNkk5iAi4O+aah2RCbTXbMvqEI5sEt/sCFfBIofztqXbAjou4kAElgHyAKPtgSOm0hYO2lBjW6dicJA87VM61GgPkPsMgc1Z8LWDpqa0xxo9fbRcmXicsaLHJSfKENja1gI9qsPyEGzDToBu0I2tFsA2ExboQWqLwnfN2ywbm2fgtcs79nbEtDRvA/qctwURMLxjGyKoXBW68DfLcyEoX0dM1yL3zY5wFRr5Zke4hp10nLcnjuS4ZhcKcgVOfZy3K6bStcbwxJEM96udJmc51tXyBfAPEbJVcQP+ojBXTMWHgkTrUBr2EUam1HHJkTSde7LI4qb/AbPFDp5perNtcrVEPprse5u0t2eoQUgSN4zt+HI7/2uLERTFEmPYvWPfwOvYwR3D4+25vGNK3IjA5R37pkC5vGPAPwUqFXaaxDdNzoUavdWujjiSj/N2oUbJeSdWZ8E17ATwo6BElChoanxPqGpXm7hiKpoKtVND9piKL5vOFVMB/Eg5QWVdF74kCldMRce1yuUC2Nz/tl4Xpkw8zljR45ITZQie/60/ZH/Tk7ol6hKFSJAZmrf5pkC1Cm9Kk0sSVCKyBgKdzdsA78Br6yhAMLw9h3fs6/Do8o5TTztol3cM+KdApaggLMf6pslJKs3C//q8PQdq9BUOuoadAGoousWrL5ZzjAE7aqQUWT0zvgfAOkBenXjLeZsaF7piKr7ZES7U6KsFcMVUAP98EVdMRXhiZ66Yine+iGNd+JIo7njv23DVB16L+Dvejuu/4G9bz+8gcqKoIZd0mT9mxaPaHjj1BbY6hTcrbeEIbLUQ2AFjXR5uIsyjAAF/19SIsSlavePaHiPwtc9uHG0LAHcKaBtTsdwvX1zENuwE6F2zLc9bX3OyX0+62cEe1HgAOqzwxFRqTx8tVwaNTs+0cd4u1NgFyC3OQhs4tVOmNkPgQ40V3JlSrpiKjzJ1OwueWgBHTCVunQWLU7j7OD6/eRCiEdZzO6isDYES3wOU3rH54ftqAdq5wRZvr6LEighccxAAfwqoK3CKOEdCDerKvDG6yvB9XUDd3rG6FguH29Vd2GG/bZG3npgN9jO8PVuWlXc6Wl1gKVKj5+zL/PEaAgfn7Rp2AvhTQGMHTQJl1GwBclfztk5HPHy5wTtu9caSJly7+jrBP0TIFVPxFQ5GjoyjdpqcxUFyZeLpqnnb/XJRaYeVIzEERPQiIvo0Ed1NRPv4FyLKieit6v2PENFNvfdepV7/NBF9w1Gcz0HEt8hdzdtab8/j4ToRgWVj62gSexaM0xA4Co105a5NaV0ZR74sGL2ATTGVdpFbmmu5WhsD7o6YS4937MuCsU1GA/xZHXrYiUl8WTAuKg1wp4C6hp0A/vYpqbAXLK5w3gYhp7Pg6RTriKl0lGl4AgbgDpBXZeGMqcBTOJg4mhr6KFO3Q+neR4QDZR9WDm0IiCgG8AYA3wjg2QC+jYiePfjYdwG4KIR4JoCfBvB/q2OfDTnj+G8DeBGA/6S+74qLTgG1ZcFIhTc/QN/wD2cZPtyVny0XalFaX7dDV1Wy9iBtWTCRKK3N23xZMKgKFGL/KECgMw62LJh2II7F23Mucl2DYPP2PHERV3555yzY6EO7d+zjvF3DTgB3UZhr2AmgOW/7xuZCjT7K1JWJ125sNkTgQI2AcpAOGFNxBcjLwk23ijiTMQSLuGIq3oaKjpiKb+hSl4Bhvl+HkaNABM8DcLcQ4h4hRAHgLQBePPjMiwH8qvr7HQC+johIvf4WIcRSCHEvgLvV911xiVJ3wNeVMtYVhR3C2/MgAis15MhwcDVvAzqv2aa0SVOi8VyzLbBFTWFt59FmwVg83EYhBZvhdC9ydzaJLy4iR2Saz9vHebtaD+Q+Z8GRXw64s2Bc87QBP+dtHSCPHtVhcxYcqNHbPqU2D5DX4oqL+Kg0V5qwa4C8fD1HTMJa2JWIwkql6SFCtnXh6m7gHSva7iOW8z6EHIUhuB7A/b1/P6BeM35GDbu/DOApzGMBAET0CiI6S0Rnz58/fwSnvSptF1DLphg1JWrLA2yhrS1v2TFAHnB3xPQpfBOlVg/X1bwN8Gc4uGiSLkBu/m1XGT7gLgpzleED7spPH5XmG/5hG3YC9AO+9k3Riho9bSJ8zoKrNYYvcOrjvBNUxqFJQK//jZU+tMdUfGnCki83o0bA3SzP1bMHUA6S5X75Yiq+dtCuTLw49e0jLgSlHEqbjrh6fx1SnjTBYiHEG4UQNwshbj5z5syRf3/bC8aitJGjx32b9WDZFLsH6Kr8tG1s9ilhgLtrqs871gpvQ0Euhe84bztfbivDB9yVnx0Eti1ye1zEF1wXceoc/uEqwPOlCbsyjnxpwj5E4KLDXMNO1IlbZ0c0dY2MamNfJ3neHtRomZ4H9NKEbR6uowkkIDN/bJRp45iDALiHCPliKr4hQgnsmXi+GIHLEPjGiup7YUNQh5GjMAQPArix9+8b1GvGzxBRAuAUgMeZx14R0Zbc1u0wdgSIvJWfdWEdiAPIWgCbIdBTqWxcqHD0gvGV4bd8pkXhbQNxgP5cAPNic7U2BnRcxEYNuYPrrsrPyhNE9KEgF1/uSxN2ZVkBbs677XFvQY2upADXsBPA3SzPNUAe6FcH23XEbgjcxZKumArgjovoMZQ2HXFRpj4qjTyddV06knidBbuO+CYOinppzUo7rBzFN94G4FlE9AwiyiCDv7cMPnMLgJepv/8hgPcKIYR6/aUqq+gZAJ4F4KNHcE7B4ovY20YBAv1uhxaFr5ZOz8fV7VBPpXIhAtsi14Fvu8K7A4Eym8Qd/HRtirXjmksH5+0LiokoRWwJfrqGgwPwFg668st9nLezlxU8rTHaLp42Q2CvBfBlWbk4b9cAeaDPedtRo11HfB6uo8Ef3LEzH4JyIWWfjkQtIjBTQ66Yiq8iOnK089BjRW0oyJWVdlg59LcKISoieiWAdwOIAbxZCHEnEb0OwFkhxC0A3gTg14nobgAXII0F1OfeBuAuABWAfymEMLd2PGbxQbpYlChje7Te2e2wKVFQChuzV1OCtLEVo7khMOJMDj03VH4Wrefj9nCtsN/RniL1BMhlcN0e1HL2SPIExZrIjoLaRmbWALkukDLf78zBl/s4b1fPHsAzIEYNO8kMw04AN+ftK8Drc95DVOqrXI/bPlp2asiGGn0erqsGAeAZAht96Jovog2iDzXa1oWrl1WrI9YsK49D6Zg46OqefFg5EvMihLgVwK2D117d+3sB4B9Zjv0xAD92FOdxGPFZclfgFHB7ez6+vIkyxNWO8b0WAjs83IgEqrpCMji/2lOYpV+35XmnjjJ8n7cXCXu6LeCOi3Q0iQURxKm1TUTb496yQbTT5AzenmgapKiMw04Af1ZH3FQoY3sgz+UsaO/YpmGuWbi+wOkK571xauUtX+W6j+pIXXEk5eHakLIrEw9wI2XXQBxAzQWwOQs+ROBwkJq6Rkq1tQbBl0qeiAKL+JTxPQAyeO7UkeNBBE+aYPFxi28WrmzV4KA6GIvcJo2j7YFrIA7gznBoIbANEXi6prqK0Xz8r887ds4OVmmFcWxrjWyH/a65wYB7iFBVlYhIGIedALxFbu3ZA3chnLPlNzxpwh7U6Jqp7ePLfTO1E4d3rD1cW1wkcsTdAB07s6T6ejLxnJSpJ6biGiLUxlRsqNGzj7jmgwB64qDFcHpiUIeRtSFQ4uO8vYsciRX2u9IKAXcLgLYYzRJobr29wrCxaQhsUXi9yG3X7ITAPm+vqaz9WADp7Vm7piou1BYUE44sGNfcYMAN+33DTrrWGLb8cjdqdFEdPmfBNQvXOUAe7pnaviyrLnYWHlMBZJqwrVOsL6ZSO9eFumYbUnYMEXIOkId7vogvpuIrHJQO5cGSKHxU2mFkbQiU+DhvV1oh4Pb2pCW3H+tqAeCDwF076P2IoPYgAhfsbyGww9srHd6eK60QUF1TXd6xAwK7vL1ukpyt4EcuJNM1+7KsfJy3a9gJ4DEEnkXuQkG+1gMu4+caIC+/U12zpbhKxlQchsDh4fpQo7NZXl1YB8jLL7fPF6kdcxCAzokwtU/xxVQ0QrEhZZ9D6cqUcrXzOKysDYESH+ftbN4GxXnbqCFHewrAneHg6usPuDMcuhoEyyJv0yEN3rEnrRCQfKbN25Oppwfz9nxphYgzu7fX8uVmw9kucsemaEUEHhTkGnYCuDlvH1/uQkFd4NR8zS7O2zVAHnDTYXqAvEtHXJRp4gicAu72KT4EpZ+haaa2LoK00Ydt+xQDNeTTkTbryxZ3E475IHBPk3MFmg8ra0OgpPX2bEoLD6SjxNr2wPcAnZWfOnDq4X9Ni7wbdmJBBHqRG7w9Xz8WwOPtOYKIgLsozBdc1xuPydvrvGMLInDERUpfuq2H807gMX4OFOQcdgIfCnLz5S7Ou009taFGB+ftq1wH3B6uLwHDlR3mq1wnV1KAJ6biGiJUeaihrn2Ki261IyjZYt38nF1NIA8ra0OgJEkz1IKsiCATpZUyANzenu8Burw91AVKBwR2GQJdE2HLoHFlSvkgMODx9jw0iStAHjkG4vTPyeTtddSQxat3DP+oFL1mrUGA4rwt15yBoSOW5xw5WjUAcHLergHyQI/zdjkLFh1xcd4+7xhwd011Va4DbsrU1Q24f06mwkFfTMU1RKjreupCQXae31WbA7gryCNPoPkwsjYEPXE+QEfgFHD3gvE9QJHYxwH6itHaWgCDV9/OhLUggtRhCNrv8yACm7fni6m4AuS+ICI56LCWSrNsiq55ydpjtlEGgLsQzhc4dRmCWHj4X1f/G8ewE6BHhzk2Nht92KIMw/3qYiqOayZ7g0Cfs+BCQZJKs68L1xAhXzFa7IgX+mIqgLt9ipyD4DKcdofS1f76sLI2BD0pKDV6e97+5XAvcu8DdHDerv7lgHvgtd7sbArv9PY82SSAWuQWpZUxFZe354D9nqpkTVeZvL22tbElptJVB4enUgJuFOQadgK4OW9f4LRFQQZ6h2p3zx4X5+0aIA/026fYN0UvInBsbM775WgZ7gucRo4CUV8ChnaQTEVhvpgKYB8i5OsGDABNlFir5uPGjaAOI2tD0BNb5afmjt2wP0XiCPK4PB9XhoOrfzngznBoqaEDeHuVp4sn4M6USh2NuQC3t+eaCSvPyVEFrgfi+GC/KVPKU6EL2FFQ6yw4dMRl/HzOgovzlgPk7ce6OG9vVbKD82Y5Cw7KNHVUrgOqKMwSO/PFVCIHNSSUjpgGyANuyrRmoEZby3AdU7EVLALu+5XAs48cQtaGoCelZSi6byYsoPrfWDY2+QAPxnlHTelUeJe313nHFkSgIbAJBXlaGwNuby/1xFRc3p4sNPKjIGOzvLpw0iSuRe4rNALsnHfrLDi8Yxfn7RwgD0+zvLqwjj8E3Jx34+n0+v+39+7BtmR3fd/n1937dR73NTO6M5JGGj0GsADXIEYPJ4YqS0KWcCJhohAoEgSBqBJCEpvCQZRSKVJlVyCOg53EFZcCNsImhhiiSFWEAknB9h/WCA9k0AMQMwjJ0jDSjGbm3vPYz+698sdaq7t373781t5zzwx1+1d16+6zz+6zV69ea/2+v+/vBc2UaWERtFOmTaUxBi1Nk9zAGUp9yfAusNDacbCjPEWbpVzQrS3z1bBGclqv1SJoThxMTEtL0T2lVwQlSRu4vXzB74z22h9gG+ctHVxoG9rLeyU3hZ7GsSuW18wdt5n97Wiv3afS1iCmiybx/GzdoSgdh2Jb4mBX7wdo5rxVYKHNClKChTrl19ZAHsq9g9toknDOWzVfLZRpVwCGj0aqs5S7AjBamwh1+FTamgj5ciytVlBDHa1VR8QRdICFDkfzPtIrgpKkDeWgNdxxW1P0rgfYhva60spbG8Rk3Zu8ifMuQk/bD8U6tJelKYmsWze5xCNGsqpHeyZt7IwGHWivQ3H6WPt6tNdRs4dmK6ir2Qm0W0FJR3x5G+ctHVFWRVDA9ri7irdBM+fdWemV9oOtCywU+2L7u7tKNbQ1EWprIA/tTYS6fCoAaTSsDRzJ93cHoGyer3ZH8z7SK4KSNCVzFOWcO6iOBj6zK3Y4bxlZSw21R9C0NohJ2/ly6EZ7jc07aM4FyBd826GYlz3Y/u5kvWzd5G1oT9YdFoHPL6g5FNcdvZKh2QrqbHZCO+fd2kCeds7btovsthprM6IVFkET510UNWyuytt0sGkCMHw0Ul2NpLb+IFBqIlTznLvqOrX6d3M3AAAgAElEQVQ1ESrAQjtAqlsj/hxpU5xtpUQGHeUp9pFeEZSk8QEqIgVsg5h6s78rdrgN7XUV5mqLcCjqsXRlfrbQJG0LvmGTL7wJ3BI1VPhFtumwuCN5r61BjGSr1mS0tsTBPMqq5VBssoJSBV/exnl3Za63WUFtDeShnfPWtD9s4rzzBvIta8Q0WMp5XSeVRbB9z10+lbboMNtPu/1AbWoiVDRNalZ+TT21c4q57RyJBo1VBrpCT/eRXhGUJG1AuLkmb0N70bAZ7XVYBG1oL+5Ax61oL1uyNM3F28BnMm6PO0c+rWZ/A9pTUGltaG/QEV8e50lhNYqzy4JqSRzsii+HZs7b511I0tJP1inGOito2BFK2WYFtbXIhHbOW7yzuAUsNHHeOVhoc342INz8ubesEa/86tZIWwN5aPeLWLDQrgiaysr7EuRNARjQDJCKasDN1zaVz/ahp23gah/pFUFJmsx+jUXQhPZ8PZa2B9gWAhqv03aLoAXtdTlOoTkKZq04FJvQniaapK07WlfGaREC2kSltddsXzb4RTR8eRPnrYmyarOC2so5Qzvn3dZAHsqcd80Bo2h/2MR5d+WpQHP5lJXCuZ5TpjUFFbuS0dqaCGmqeDaFkhdgoQUgNfnOFH63poACDx6aSqTvK3spAhG5JiIfEZFH3f9Xaz7zgIh8XEQ+IyKfFJH/oPS7nxeRPxGRR9y/B/YZz76ylvoWiF31WKCIDa5GOPgm6W0PMBr4EgB1h+Ky9VD0iVOmZpN3caFgG4TXoT2T5yC0O8jrNrkm4qiIi6+xCLoOxZaWkV2VXsHXSNrNImiygjobyEOjFdTVQB7aOe8ux2nBeTeBhfY10kSZahynNFCmq9y/0HLPLVnzXVRaWxOhLqsR7L6oTRz0VFoLfWgDR5pDstvuuamUiCZ5bx/Z1yJ4L/AxY8z9wMfcz1WZAt9njPl64G3A3xWRK6Xf/w1jzAPu3yN7jmcvaSp70FWPBSgKoVU2uYYLbUV7Lc3BoVRfpsEi6OJCG9FeRz0WaEZ7eY37VuXXwv920CTtaK89BwGsRVDnCOwq3gbNVpAmB6GJ89ZUem3jvLvQMTRz3p2VXmnmvLsqvYKro1W3RhQHW+E7q7nnDj/SoKUctEYRrBqSJfPcnIasZGgGC2uF360pZLarRPq+sq8ieCfwAff6A8B3VD9gjPkjY8yj7vWfAk8Cd+35vbdEmkJAu7peQbn42+ZmSxWJRm1oryv0tBXtdZS/hma011Xj3g28Fu15uqetHktbv+Rhh0XgS3LXhUNqKjSm1IcJd1V6hWYrKLcaW7j2Js67q9mJ/bvNVlAXlQbNnHdnpVeaOW9NDgLJiFjMFqrXhJ76aKTaNdJR16mtrHxXngq0JEu67nlJEt5EqLOlKM3JpS90i+C6MeYJ9/rLwPW2D4vI64Eh8Melt/+Wo4x+RkQa71JE3iMiD4vIw0899dSew66XpqSwIg2/3QSGbbSXc6EqquO5RXsa5JM1OMi7atxDN9rTWARVtOf7Brchn7ZiedaC6vaL1Jr96aK92YkdeIMi8GivbZM7zrtymK80VmOLFdTV7ASaOW8NX97EeXc1AYLmVqpFKGULWGgpGd5FH7Y1EerqngfNisDmILQHYDQ1Eeoq8AfNyaUrRQj7PtKpCETkoyLy6Zp/7yx/zhhjANPyd+4B/jHwA8YY71H9CeDrgNcB14Afb7reGPN+Y8yDxpgH77rr1hgUNtu1LkHKoeMd0J7nQttCxtrq33QVb4NmtBetV2Qd1FAmDX0B8tIDbeGQ9WgvU/gXPNqrRv74vsGtiqAD7XWh48ZNrqDSbFJY8yZvQ3tNVlCq8Km0cd5dUVbgOe/t59wVcQTNnHceetpCk+StVCv7oqt7HpRbqW4eil0N5AHiOGlsItTVPQ9asuYVDeSbysqvO/ogQKE4q2AhL5F+iyyC9jsCjDFvafqdiHxFRO4xxjzhDvonGz53Cfg14H3GmIdKf9tbEwsR+UfAjwWN/jmWJk1uFFyo5Ju8inzcgm8NdWuuBZN0FG8Di/bqOoVF6yVpx6G4job1aM/TJC2bvIz2ykoyUyTOxLmDfNsEHtCOjtvQXlf5a7CKoG6T2+Jtik1eAxa6mp1AsxWk4cvbOO+uiCNoLpanaYjexHkXfHm3FVRVBGnajY6L8imb371czBhDe+Z6FLFoaCLU1RAHmpsIdWVxQ3Pkj1H43Zr6i2j6IOwj+1JDHwbe7V6/G/hQ9QMiMgQ+CPyCMeZXKr+7x/0vWP/Cp/ccz37SoMmLmj1tmZ8+BLTCheYN5HdDe13x5eAif5osgq5N3oD2PBcax22dwhqiYBTRN3FDEt1qudz427Vf29IysivKCpozyGW96rQImqwgjXO9ifPuaiAP7VbQQLNGGhVBN33Y2Eo17fap5DkyFeXX1UAeysXyqs51HU2ylHqApKnZ05QvorEamyJ/ump/QXNBRQ2Vto/sqwh+Cvg2EXkUeIv7GRF5UER+1n3mu4BvBb6/Jkz0F0XkU8CngDuBv7nnePYSk4yso7KaC6CIL4870F6bSXer0J6mx2kT2tNwoU1oT5NoVKC9qiLwNXva0d6qCe3RbRFkUX0TIU0ETRPnrXGuxw1hwppmJ21+kS7nOjQrAs0aaWylmi06ExabEW63BeUt8CpA0nTPg+Y6WhoqrUkRaHwqTU2ENOdIU36NpsDfPtJJDbWJMeZp4M017z8M/JB7/U+Af9Jw/Zv2+f7nXOIhkRhW6WqjWXyxybuRT6NJtwPaK+LLd9zkZsUibkcQjbVN1rbZSdvVTWivq10kNKM9TRY3YGPfaw7zrnIeYBXBKD3bel+Djikrv6PL+dsa53pTaYw8YbFNcTZYQUXCYvt8NUWHxesVK8UaqbOUfUOcttUZNfhFNFaj3xdV35k2gqZJEWiirJqaCNnOaB1godREaHxwVPxNRZRVsx9JkYOwh/SZxSVpRHsKLrQpwqHgy8OjYFZ+A3SYwE2KIFFwoU21TVTouEH55fHlLfNVoL3NcWuyksEnhe1mQTVZQV3lnO24vPLbfFaaHIQmK6gIPW0JT44iq/wq96zNOM2iAVFNU3RNxFET5y3ZorWBPBRWTjWsWtMEyPudqvuiq4F8/jmpL43RFXEEzRGEkSI8ubGsfL5GusFC4xppC+feQ3pFUJaGXACfmt/GhRYItxLhkKPjlmsb0N5SEXoKLWjPrDBRl/OzvraJJr68Ce15C6ptkw8a6t8UWcntKLUJ7Wl8Kk1lIjTNwaPGTd6daNRkBakSFqmvFKvplQE+F2A3sNDEeWv4cm/lVIMCjKIhTh6NVLlnVckXmsundPWWhuY10lXgD0qU6da+6C4CWQQU1PugbhU11CuCkkiD85N0waojvrwohLa5eDTcnkd7Vc67KH/dYfY3or1uvrwJ7UWK6IgmtKfhQhvRXu5T0WR+7o726g5F3SZvSITLFmRGGpudQDPnrYkvh3rlpyneBs2ct6rZSUMrVVHMV15HK62uEfu32kJPm1qpqko14IICau5ZU8WzaV/Epr0zGrQ0EUqXnXWdmgClJjx5H+kVQUl8COjWglfEDjehvYIL7eC8ayIcNI0soB3tdfY4bUB7Gr48Ry8NaK+d/60PAU2Vh2JWg/by5uA7mv22eFv7tU1WkKQLFq1seRF1VuW8VTV7sBnRVUWQlzDpsKCaOG/bEKd9bUpD+ZRIQR82tVLtaiAPpWi6rB4sqNZIBSxYv1vaqTibmghpspKbSoZLNu+s65SHkm9Rj93Je/tIrwhKUjh8N7Wxpnibd4xW0Z7WpKtDe5qGONCC9kg7k9GaIhxEEV8e+/naQnv256bm4NCM9jQ+FXBmf+WeNc3BoRntaRKN8jVSMd01a6Sp89V66dFxh0VQc7BpGshDM9XR1UAemjlvTTJaUytVVQ5CFLE0SY1FYMcRtzjmwZWVr8yXpq4TNDcR0oCrpsARyZYsu+bLR5ZV7llTEHEf6RVBSXI+sxrPr4gvb4pwKEr1dizaGrRXhBV2HGwNm3zY1RycQsksKmhPE1bYhPa8T6WNGirQXuVQVPhUoN5BXjQHV8TF1ynOjmYn0GwFaZqdNFlB2k1ed8/+UGzLXIdmK2holp00SVOxPA2VVljKlTWiyEEAXzK8sqcUOQhQXxpDU9fJDby2rLzGuV6Uld8ct8an0kQf+nOkNYt7D+kVQUmaOG9NNEkT2iv48g6LoGaTa7MJ19GgdpMnppsmaeK8uzqjQTPa62oODiW0V9nkmnBbqC8BkD+3jnu22cG7RdA09Y6wETTt1zZZQWsFTQI+Ea5iBTnlFw/ar22ygjQ5CE2ct4YmaSyWl9ochNa6TrjyKeuq301HpdVZysv5FFAogoYqoJochKay8hq6tQlQ5udI7yy+9RI3or3uKp5NUTCa6Aioj3BIFYlG0BwOOeyo2Q7taK8rgqYJ7fn48i6paxCjRcd1LSO18eUSjxjJagvtDRR8eZMVpIkvb+K8zcpTQwet19dx3toImjrOW5uD0NRKNVkvOx2nRWh0lUprbyDvpa6VqiYHAer3RVHOo/3aYl9U7tl0U2lNZeWjbNGtCBoApaYPwj7SK4KSRA1oT6PJi74A1QeocxbXRTjk/oVOPnMb7WVpSiJrvUVQRXumvTMalBd8VREsurMvqS+Wp82grEN72gqNPua+2jIyUfDlTRnkNuO0Y66jiKWJt9aIxqcCPiO63qfSNV91nHfBl7d/b1Mr1ViBjptaqWrXSB1AKnwq7VZQXVl5Ld3a1ERooIg4ihvyRWLFGknyEuvhkXj7SK8ISpInha2qJl2349THBlfRHq5DWVt8OdgiV1toL9XVF6lDe/mm7UDHTREOiaKKZ9Oi9VnJXVKH9rQWVJ3zU1uhsallpManUlhBm9+t6YMADeWgFQX+oN4Kytw9d/mgJB5scd55FFCH4mxcI4q6Tk1+EU0bVainTLVW43NjEWze80jhU2kqKx8pqLQm+lDTB2Ef6RVBSZIGPlOzyZsiHDRJJFDPeedOsY5r69GeQ8cdUUNNEQ6amj1Jg9kfaQpz4foCrOutoC4Lqm6Tqys0NqC9oVliOpRIcc91jtPu0L66pDDSeXcfBOqtIE0fBKi3grQ1ewrKdHNfDMySddR+7aiBMlXV7KF+jWjRcV1Z+dT7VDqubSorr8lTKcDC5nPWBGA00Ye+/HVbDsI+0iuCkjRx3pqMU3Ccdw3a6yrMBfVoT9McHOrRnnaTF2ivusm7E40a0Z7CpwIO7TVxoZ2bvAbt5ZVeu9DeduanWa8Zknby5X5cVbCQKNAe1FtBqoqWtCu/zjVSYwXlOQgd89XEeQ8UfHkT563xqYDPmq8qAjuO4bjdp1JXLC/LcxB0uRPlUPIsTTv7INi/XX+OaMKTc/owq/pUuntL7yO9IihJE+edKDQ51Ne/0SSjQT3a0/LldWivaHai5Lx3cIo1oj3lJq8LhyzM/g6LoKZYnqbZCZQjpYpx5w1xOiiDJs5bU+Me6jlvG1+uUQTbdNh6ZQ+qtmJ3doDbCFdbs6eplapFxx3X5q1Uq+h4obKg6sqnaPoGu4FvNREqnOvtzzkv/lbaU7kS7dgXTWXlE0UABtTnFIlyT+0qvSIoSdJwsMWKaoWANd1q0J5uk2+jPS0XWof2NM1OoAXtdTQHh+ZaMJrQU2hAezlf3pUpW6MI8uJtSrO/ZBEsXFhhF1/eVCBQE3oKthBaleqQdK6yCOqsoHyNdMxXnRWkjTgqQkBrqDRFM/W6VqqaZDSob6Uq3o/URZkm25RpDq46gEZdE6E8B6FjfTVFENpghO7wzzr6UAsod5VeEZSkeZPvh/a6irdBPdpTp5XXob28nHOHRdAQ4ZAoirfFcczKxFvls22FRoUVVFcsL9/kXVEd22gvL97WMV91pX5XSnQ8zHtHbD6rgVl2WlDgmghV7lnLl69rGsRo+fJaK0hZs6dwflboQ0UEDdRHh9lyHgqwUOM7M9mis2aP/ZLhVhMhbzV2WVB1TYSKXhkd9GFDWXlVyRfqk0s1tb/2kb0UgYhcE5GPiMij7v+rDZ/LSk1pPlx6/xUi8gkReUxEftl1M3vepMn5GZtudAyOGqqivbVOEdShPW2iUV2EgzYHoSnCYcQK01GnHrwVVN3kS9IOJyK4YnnV/IdMl2hU1zIyj6DpmK96tOcSjTrmqwgT3vapqDZ5NNyygrTo2ETb96yp2QP1VlDhOG2/1kcklTnvvFeGoj5+XaSUhi+HektZ0gULxaFYZylr+gZDfVl573frUpx5K9XKvtBaUPYc2QYLL2Rq6L3Ax4wx9wMfcz/XycwY84D7947S+z8N/Iwx5tXAs8AP7jmevaSJ87Zor3vB13HeUbZkqTgU6zhvbaJRXYTDSlmPpWiWUow7L96m2eQ1aE+TaAS+WF7NJlfQJHUtI70y2wXtaam0gvOuouPuaBKot4I04cn2y2vKRDiUPhrrnnNaQw11UWl1nHeeg6C0gurWiE4RbFvKmnIe5bGV94Wm/zgUuTvlKqArpXM9jpPasvIDRXgyNDAL2jWyo+yrCN4JfMC9/gC277BKXJ/iNwG+j3HQ9bdChg2c9xCdIqjjvEPQ3pYiSHWbPI9wKG3UbKHb5HVob5HX7NkH7SmUXzTcipTSlGqA+iZCRUOcdsVZ1zJS0zfYSx3nbUNPuy2oOs47znSO0zoryIcZdtXsqbOCtDV76lqpLua6QxF8LsDmuBN0FlSdRaANT65rIuTBwrBjTxXlU4rvLvoGd0QcNZSVH5hUt0bYni9N6Ok+sq8iuG6MecK9/jJwveFzYxF5WEQeEhF/2N8B3DAmJ3q/BLxkz/HsJVED561pZAH1aM9GR2jRXqUWTJ5xGo72PE0SdzgR69Be0CavQXsDpeO0ri9AlC10aK+md4R2k9e1jMwtqI6aPVDv8B0oynmAWyNVRWBWpArqsc4KItWFJ3s6o+wLKmr2dB2Kbu2n2zRJZ80e6i1lTVQa1LdSjbJFZ4YuFIX4ylVTtT6VurLyWroVXFn5LUCpWyNptD1f2iirXaWTvBaRjwJ31/zqfeUfjDFGREzDn3m5MeZxEXkl8P+6hvU3QwYqIu8B3gPwspe9LOTSIKnjvEesOhONwKK9pLrglTRJHdojtU6xUdcmr0F7mZImqYtwWC2Uhblo2+Qai2Db7Fdv8qTG7Pfx5R2Ks65lZKotPYC1CMqbvOgtvZsVFK+XLJKjhisK8VbQarnIAwgkm7Ng0NEJodQ4abmtOLsOxWFNvojW0Qz1a0RT9RTqLWUtX16bLKnoGwz1VUCLYIRwSzldLW3JF+V8VcFCsl6yjNst3X2kUxEYY97S9DsR+YqI3GOMeUJE7gGebPgbj7v/Pyci/xz4JuBXgSsikjir4KXA4y3jeD/wfoAHH3ywSeHsLVXOu2hkoTH7h4yy8433kvWCeXKp+4tLaG9jk8uArqVTx3nnzU46aJK6CIdlgEVQx2cOlT6VJrSnQT55/Zuykzv3qYSjvaJmj+Ke2bzn5WLGGFSb3Na/2abSpgoqjdz5OWdyeAzoektDfS9cTW9poLaV6krpXIf6yB8tX25qLGW1IqixlLU5CHVVQD192OV3A6sIqmskobulKNjy2VWKOTFLpvG1zmt3lX2poQ8D73av3w18qPoBEbkqIiP3+k7g3wZ+3xhjgN8C3tV2/UVLVZMXNe67F3wd2tM6xeo4b1HSJHURDjna61rwNX0B8ugIrSKooBdNK0CwaK8aDhmtl6w081WD9rSbvBbtKak02K5/s9DWuKee81a1iyz9/dWyvEZ0fHmdFbRWBiPUcd4hFlQmydbBNjA653qdpawpfw1li6BE9aa2pWhXzZ66UHLvONY0h6nSh9qWolCfXKrNU9lV9lUEPwV8m4g8CrzF/YyIPCgiP+s+8+eAh0Xk97AH/08ZY37f/e7HgR8VkcewPoOf23M8e0uV8875cvUmr6toqUd7ZaojShesOo3+coTDDk6xGrSXOrQXKfjyOrQ3NEtVNImJhwxrTGCVRVDXMjKdszJxZ95FHdrL+XKt8ltvK07NGjHRdv0bbehplNNhhSLQUml1VlBIRcsVyUYr1cJxqrQI6sCCYr5IRiSyJksLwBAr6dY6K8gXu+vyqeR+kTI7oGyjCtuW8kqZjAb1FLM2cnFX2StVzRjzNPDmmvcfBn7Ivf5XwDc2XP854PX7jOG5lq1NPtebwHWc92DdXZgLSpx3adFGa12p3jq0pw09lShi0YD2ugpzwXaklFmvGctKZUGZZLRVPjteL1nF3QqoromQ3+RdM+YVxSba0x+KtlJsGe15xam455qkMO0mz62gkrNYS5PklWLLjuZMx5fDdvmUvF2kxiKoKIKCL1eUVM79InNi50dJzIqlHHZeWldW3pe/7lphdVVAQxrI2yZC28yCFizElTWipVt3lT6zuCJVTR70AOs2OSvWimtzzvs5RntdNe5hO8IhSBFUNrm2xr39ghEDyVhnWf6WNtEobyu63NzkmtDTutIYvsZ9l08Ftje5NgcBXKXYKlhQRpPUWUGadpFQXyPJg4VRR/E22LaU8+JtCr682ko131OKe/ZzWm6lqmkpasfmosM2wIKuIU5dFVAt3QrbEYTqPgjUtxXV0q27Sq8IKlLlvHO0pzgU6yIchuiiI+o473i9UpnAtX1OlRE0sO0X0da4h20zNq9xr2mp59sBlpSftlRD3jKydLDZmj3dRm4d2jPKaBLwDWLKNIl+k9c1ERoqw5MLK6i8RhaqLO7a8ikBNe6rfpEQdFw92EL4cqkBSIkSHXuaL9uwCJQ5CDVl5f3+6srZABsCumEFKaueQn1DHU2J9H2kVwQVqXLe2p6wUM95j4yuVEM92lNu8ro+p+lcVaoBbG2TKKtTBBrlt2nGFj1hu6/NSwCUEJumxj3Uo71ovVRZBHVoL4Qvzyq+IH+wRQrFSbJtBWn58rpWqtpEo7qS4ZIurBNYUeO+ailnAXx5lTLVlr+Gcjno4p61PpW8fEq6uUa0GbrLSsnwELCwrlgEWV7gT3OOjBiymemvpVt3lV4RVKTKeRdcaDjn7XvCdlW0hHrOW5uDUMd5q0s1sF0jSVuqAerQnj7iqB7t6ZzrhV+k5FxXhp7Wor28xr3mnjfRXkh8edUKKlqK6unDMuetLX89yJPCinu2VJpujWQVSzkvf604FKtWkLbAX/kzG/tC0VIUCougXDvMlkjXRd+sKpE/YVbjkLgU9prXdVJZjZv0YUG39hbBhUkV7aXKmj32Qxbt+QiHkFINdWhPW6qh4LwrXKhywVfRnjYHAbbN2JBktLpieVoqra6JkKYnrJcmtKeh0izCLTZ50ewk3ApahqyRvEBg8awGylDKYU2YMNmSpSIqDbaDKNbKmj2w3Uo1hC+va5M5ZKWKSktqLOVYGZ4MNU2EgtbI5jmSgwWNlT2YMGaZN5oqIhd7i+DCJItHDNYlB5FPNFKgAG/qLubn7n/9A/SKpsqFauLLxxMbQWG2uFDtJh8Sr8NLNcC2GVvQJHo6rHzPQ7NS1WPJ+yhsUWlatLe5ySXV8+Xbm1xX9RS2raCCSgtQfqWDLVH6VKI4dp2vSjRJtiRVWo1VyjRXnJqDrdJK1Ycna9BxXXawNiu5zi+i7S0NNcmS2YLURN1l4dkGSCFUGsmISExuCSwDIhd3lV4RVCSLxwzMdny5hiYRx/8tZvbBhWRfevSdLaf5ewOzJFMt+JGtiJlu0iTa+uWraEyyIzo2yYRRrQWlUH7unn2IrlmvGaEr1Tt0yq9cPlubaASwYEi0gfZsqQYNX16lw0Liy6tWUAhNUhcmrK1xD9uRP9o+CLDdSjUPT1ZEHJEMN1qpFs717vUVVxzkvqWoxqdS5xeJlW1nYdtBbn0qumu314iu/DWUzhEHJEPOkV2lVwQVWccjmxDlpEB73Qu+eIDWItCWrYViQ5UVgRb5gD3YJK2gYy01FI1ISlYQuUWg2eRjJrLc2uQa53o09IrAzlearojFqGgSH/JoVsV8abO4AVYyJMpKyWjKUg2wzXmHRNDknLdTAB71iQIdF5x3yXGqTVhku/OV1qcCNUlhOVhQ3HPs6TA7bm0LVoCoUik2bymqAQs+d6JqESjXSFrxnYX4VKrlU7zlqvEv+HNkWTlHNH63XaVXBBUx8ZhRieooHqDmYHP0zg4PcDg+ct9XokkCYocXMkTSSg6CdsHHYxKzo0Xg6TDv/AwIPU2cIvCOtEWACTzK6bDN0FONTwVgGY02LAJZL9Voz8T1aE+1Rnz+gzsMQ9ZIXacwLV8OvvNVJYJGiY6rkT9FS1FNpJT9jpU7zEP48pwCdGtyEUCl1ZWVD1kj1cARbegpuNyJcuCIsu0slBRBzizoLahdpVcEFTHJeIPqMAF8uUe4y9yk0z9Aj3DLikBb/hpgyYiohBS1pRrAWUHrTZpkZWLipDsmP7eCpmdAyXGqOCA8p54uNxe8xqfi50tK1JA2vhwglRFJySKw5Tx2swhC4sv9ge+poZD48qTG4RuyRqrRYbHRNzvZqpGUzklNpFoj1VaqIc71aivVIgdBMde+rHxpvkKotGpSWAjdSiWUXFvXyV66CShzn4pife0qvSKoiBlMGMkqj/P2ZrjGR5DkDt/wBzioIFzLl+tjh5fRkDgrU0N6E3gdjxmYSlih8lCUgV3YHqn5Ta5BPoOx4/mdItC2iwQbAjozww2/iDa+HDwdVlIEAfHlEo8YySqnw/I1ojD7q1EwIXWdqpy3XyPaRKOq8zPJFuo1Um2lasOTdddW/SKe/vR+njaptlL1tKsqZwNXVr5EDQ3NgrVyT1WbCEXZgqXo5tokI+vL8GvEUZgjxT17sOD3Q0im/67SK4KqJD7yxzkw8zR8hWPLafvUa/KABzieOKTgvm+1WlouVLloV7JJdSRKRzNYi6BMh0k6V4ee+g25nNl7zj4dlLIAACAASURBVOPLFRs194u4Bb8KKPAH23SYTczSzVcajzeiw6JsrmopCmDyulB2zrzyHh109xQowoQd5+3jyxUWVNFK1X7vYjGza0RJGaRsOj8HZkGqqOsE261UJZ0xVx6K1Vaq3uodjDSKYDNSajk7c39TN+6qX2TEQpXgCduRUvF6zkp5z8RDIjGkqZ0zf46MNcrPnyMLD670dOuu0iuCihSRP66vQABfXnX45g9Q4yMYjlkbwaSbfLmqVANWEZQRbkjZWhv5s128TSNxxQoqokm652tYocN8eWX1Jq84yLXNwcGFCZsyOp6zEt0BUW2KLqs5ayOdneSgxHnnFoGdN82hmGc9e7585i0opSKIhhuc93A9J1MeitXyKVE6V+cgSJ41b+fLP29NjaNqjSQfYRYp5gu2y6eMlC1FYZsOS7I5q2i3NcJqxsrERWJfi+SAMqfSekVw4ZI7avwDTBfqUg3edM+qjlNNfHkUMWeIrMLjywHSeLRR80cbegrWL1JOYIkCErM8kvVOzzwHQcGFjifOQe7uOUfHShN4KaMNOizEuV4NE07WC1JtUa/Ylz1w16+m9tkpQk/zbnIO1XvQ4Gmy1q9NEhsm7BDuwqFjT891SSbJRnawreukpBsqDWLibKa2oOK8p7a3oBw1pLCgBrmz2F7rQym1h2Ja6ji4zjLGssIo56vqIN9ljeR+r3SmptIGlVDykGCEXaVXBBWpUh2+FaBGPKrzCiCkVAM4qiPbjCbRZhOm0XgjBHRgdB2g7IfHGwks2qqnAPFwMxfAJyxpnOujSiJcSA4CeDrMoaY0ZSCZmkpbx+ONMOHBek4aiPY85y3ZgoVyvgqqw43bHWxDhSIAnxFtx+3XqJYvr1IdIxasE9211QYxdo2EUUM+WshTaRqapNpK1dOuiXK+bEa0HXdhZSvpsIpFMFgv1BFH1dIYks7VVFqVWQhxNO8qvSKoSJXqkExXyAxKSU4VRaDJQYBNqiOkxj1Ynr+McIfKxCworKC5oxpsDoJO+eWJcItNn4qGSsupgdwi0EeTgA0Bjdc+rNA9L6UFZZIxY1NWnAs1TRJV4ryjdMais6Go+54KHeb/1zhOwXHeqbca7ffHyvWVRcMNq3EUkKfiW6n6ENBkPWelPBTzVqo5TWIjjgaKDN1qK9U0t7J191wuGT6fegtKSYdV/CJDsyBT+lQ8HVaAK73fzSP/6jmiCtXdUfZSBCJyTUQ+IiKPuv+v1nzmL4nII6V/cxH5Dve7nxeRPyn97oF9xvNcSJXqiNK5ulRDkeRU2eQKdAybVIcPQdU4EcFSHeUQ0LFZsFaawF4RrBzCDOFCPUrxG5TVlKWSC5UoYm4G4A62zPPlk27KAFzkj7NAZuen9m8quWOTbOaLDNcLNU0SOzTqQ2ajbK62oEbu3grFOd14v0vmjAuw4BXBUKkI4jFDU0QcHcgCo0THBVjwa2ShtqC88vPOT0+TaKi0kZtrH5mVrxFNsiOwiobE2SZYiJTzVS2fMjQLdXhyHibsn1GqdzQPx5uAMiiLe0fZ1yJ4L/AxY8z9wMfczxtijPktY8wDxpgHgDcBU+A3Sx/5G/73xphH9hzP3hK7g8RTHXE2ZaFc8NUkp3yTHxyrri9nu65mp248ugNinYzzReu5UJSKwG8MbzoP1nN1NEmBcN0mX+mjScDSYT7/IV3aTTOc6OYrjQoryDv3RbnJGRwwkCznrS1NonvOiXsmS/+MsjlL7Rpxa8EsvXPdOU4nunEvojFx6vMu3KGsVH5ZPGHoAgrygohaRTB0ys8pXBtxpFUE9tpCEczVVFqcJMzNAHHzVYAr3b5YReM8iMIfytpghPXgYMNqHLFQO5pzytSHkK/n6tDTYUX55U2mlIByF9lXEbwT+IB7/QHgOzo+/y7g140x047PPW9SpTriTP8Ac6rDP0B3OE4UTjGAVVQkOXlFpOVCTVwkws2mDh0rD8WoQocN13P1Jq+ilxCaBGDBKKc61m6jamKtwTl8nRW0co5TLTr29IBHuDaaRLfR/DPxFlSc6dHeweGmImA1U0ccgYsOy7wFpQ9GAFgnE0bsFnFUgAU7z8P1XG1BDZ3yWy+cBRW4RuZSWiMBEUcAaTxh4ObL+1S0VjaDA4aS5XRY2Bo5dt9p79laUMpzZLLJLLCa2jXyArYIrhtjnnCvvwxc7/j8dwP/tPLe3xKRT4rIz4g07yYReY+IPCwiDz/11FN7DLldvMM35yKzmaqHLhRUh6zCaRLYrPmTzu1hPlRSBmWqo+BCdQun6vC1JrDWCrLj84s2SmcslGGYAEspir95q0JLk9i6UP5gc4pAiRTLYcJmvWaMniYZ5PSOoykCokkGw5HNdl2VLCglTQKwjCY5WPDfr/UvmGSSI9zQiCPvh/AHm41KC1sjG+BKeSjCJh0WEnEEm3RYjs6HuvnyQGo2PStFHIVZyqlXBMomUwCj0YS1kTxrXpbnQWtkF+n8yyLyURH5dM2/d5Y/Z4wxgGn5O/dgm9j/RuntnwC+DngdcA348abrjTHvN8Y8aIx58K677uoa9s7i+Xx/KA3Wei4UfJKTcxCtpswDDsWyIijCCnULnsGEgUMvoTRJ1YwdmgWZ8oCoopc4m6ktKICVjHO/iEfJk0MdNbQub3IfTaJ0IkYlRbBaLYnFIEq056mrdFHa5EqwADCTUQ4WJJ2xCJivNJ4wWG+GJ2tyEADM8ND6Bdbr4Igjr2C9AgmhSQqw4AIgAiKOwAUFpN6noo84AsiSA0brzSxurXPd02HL6VkRcaS854FbI9nSgwW9lS1RZCMV0yL0NIRu3UU6C4UYY97S9DsR+YqI3GOMecId9E+2/KnvAj5oTBGPVbImFiLyj4AfU477lsmgQnUM1zPO4rvV1y8YIVnpATLikvLaLB4zcGboehFGk5SpjmWgf6HIf3BUlpmrTeBxvsldhFQ2YxnpD8WyM88fjloT2JT8Ij4xS0ulSamey2x6ZsMBlIeifyb+GQ2MPqwQLMKN0uJQ1MaXg1UEw+VX7PcHlGqwA7XzOp+dB0cceT+ED98MoUkmFTosJOIIYFkCC6zmZEZUEUewSYd5RaDJ2YCCDptPT0mGIybowZV/Jn6+gnI22IwOi9IwQLmL7GtrfBh4t3v9buBDLZ/9Hiq0kFMeiIhg/Quf3nM8e0sepeAOpaFZkAV0BipTHXEgTVIuge03+VjpaC5THR7tJUrnUlKK6ihoEiWyjmPb9tGXlghJusH6RfKmOKspUzNSm8Dr5ICxm6/McddaWqlsBXmuX8uX+2eSU1lrfTw+wELGxGlBpYXQJFkyZmg24/G195xH/kzPgiOOPEWZzj2VttSj48HQJsL5ku4BfDlYh6/n+T240q4RS4d5Ks2tUSXQ8KBiOT8vIo52XCPDgPBk8L4zF06dzli+wBXBTwHfJiKPAm9xPyMiD4rIz/oPich9wL3Av6hc/4si8ingU8CdwN/cczx7S5XqGJs560TvpClTHSH1a2CT6vDoaazkQovY9mnuOE1GOiVSzmRcLGa2J0BAydt5qeZPSMQRQBYVDt9gE3gwZigpWZoWiVnKQzGv5zKf5g5QbVjhuIJwh+jDCsGXwHabfB1Gk1jl5xSnd5wqI458RNxidhYcceSDArLFeV7jSB16GkXMGCGOGgqpcQSwiovIn5CIIwAzOGAiS9ZZVhzKSkXgfQnL2WlR40hpNfp16NdICJUGDlC6/AdrZd9aRaCoIdssxpingTfXvP8w8EOlnz8PvKTmc2/a5/tvhVSpjrFZqE1g2KQ6BtmUVQBNUqY68mgS5aItUx15/RolZeBNZbOcsZieMUbvRASbCOcPNlu/JkARxCMGS3vPodEkkhcIPC/QudKnkndHW8xytKfqS03hzMNbbcFrZMIgc1Fh2UydswGbDl+ThkUcibvnxfQ0OOIod5AvpyxmU7dGQqygEVHq6dZ5kOLM4gnD5dOAs6BC1oind2ZnwWskKVlBy7l9raXSiugw950BVBo4QOnBVTYLOkd2kT6zuCJlqsMn3Wjj8WGT6kiyRRAXWqY6QqNJylSH5yW16Dgv/raaMffIR4kUwSbC+VyAkdEXMgNf88eh41DkU6I6cuSldDSXraDU54wo77mMcPP2mgGHoqU63BpZL9V9lsE6fH1dqNA1kuc/zM9LiVm6e/aWqVmc5w5jrQUFm4rARhyFgIUxQ+ODEeYsAvZUrgimZ7mVHwqQ0vl5bkFp77kcHWbWayaip9IAFtGEJCvyerSRi7tKrwhqZCpjotVZHmMessnT+IBhVjiaQ0xghgcMJWW1XCDplFkAL5jzmbMz1p6yUCKf3Jm3OGfhchBCNvmyVPNnTBg6XsfjvPJpnIYpgjy2fXYWHE1SpjpWofHlwEzGSDpjuZwHRRyBj/xx2aIBNY7sBQdEYpjPzl3EkV6JJHmP6PM84khb4yhXBMtpSRHo73kpkxzhhtIkWXJQrJFsFkSlbSgCH5WmpFvz6LDlOSsXkq2O4qOIDvN5PSjDVgGWyQHDzPsX5mQB62sX6RVBjcyYEK3Oi3j8gAeYJoeM12UHkf4BiuP0p6c3XDy+fsEPDy4DsJqe5NEs2miSg8NLtgT28qyUdKO/53l0yCB1Pg2zYD3QX7seHnHg0J6NJtEfELHbqIvpaXDOxujQxnJl8zPShc/Z0MZ3WYQbp1NmZyf+D6qvzZJJ7vAdrWekif5ar/xm5yfEq3Nmol9fHiykszPWLk9lfHRZde24FAK6OL8JQDzWWV/g60LZez40M9YD/YFaLpM+yGYsYj1IySsFzM5gecbSJKo+y1CKDpufF3k9BwFrhBFROmV6ZudLAuYrjQ8YrX0wQhjduov0iqBG5tEhSXrOfGo3eQg6zgaHTIznBedB0SR+Y03PbgRHCowPnSKY3czjtbXx+BJFnDNGlmfB1R3Bo5dz0tWSoaRBjmYzPOZQ5qyzLDhnYzCx9zw/uxGcszE5tmWx1vMTVu45jw51hyK4kMZ0lm/yKGCTr0uRLGMzIwtQnFJy+MbpOQvRr81hKbbdZ/keHOkOtiiOmRlbJn1xbudrEHAorlyG73Ixt2skQHGawYQJNv9hmE1ZxfprCwf5OdFqynmA4ixH/qQze8/jgDWykDFROmfm14gynBsgSw4Zu3yRMfpw7l2lVwQ1sogPGKQFOo4CDsX1oEC4IWV+AWKHSOdnN0gC6tcAjI+v2O+fneYOqrHSRwAwkwnR8oyVi6DRJilBYQXNcgtKfzh5lHR+djOYShu6Tbk8v5mHFWrlyM2XWZySubyLiRIdAyyjMfF6zuL8BlCUFNCI9QVZhHtgZpgAReAPtuX0jEE2DULHBR02hcUpmREmyvBkKEo9rNyh6K1QjaQuOmx6audLlBFtADI4JJE1q9WS8XpKFhDFl5cDmZ8Rrc6CLKiCDjsvWVB65WeLSBaKMwmwONeDQybYc2QSaGXvIr0iqJFlbPm5vE5IADVkRsccyIIsTZkYfTw+FAtlcX7iokn0B9vkyCmC+QmspizMQNdY3MksOiRJi/hybQVQgDQ5Yrye5gXJQhRBlNNhz1oTOIA79vROOjtxFpR+vuIksTkLi1PMIlwReIS7yyY3gwPG2DVyIAtMwKFYDgEdZlOWAYrAI9xsfoYsz5gyDipbsGBMtCpokhALKksmjNa7WVA+0W92fhpsQeUlY+ZnJKswC2o0PrDRYatpyYIKAQsTG/rpLM6BspgieMp0XljZAXtqF+kVQY2kySGj9Yylc/IkAYeiOPPv2a8+wUAyZKi/toxwR+tzVon+2kO3QM3ijGh5FmQCA8yjA5L0nGxmN+r4aKuieKPYRTtlevYsAPFYfygWVtBNDpmyHug3y9gpv2x2QrI6ZRaFoaapTIhWZxi3yQ8DNnkajRmu5/kmD+GOZXBAImtuPmMzhEN8UEXBuzPnX9AfEEdX7gAsWIgC/QvgwMLqlLWzoMZK6hEgHRwzMdOdLKjIUYDnJ89wEOhf8FROOjshyaYsAsIwy5QpyzPWgRbUKp5YKsvNV4giYHTEQDJuPmOLNYSAq12kVwQ1kiaHTNbnLM/twTY+vqa+NnKH4LNf/jwAEoAURznPf8pkfU4aoAhyhLs8JV6eMpWwQ3EZHzBMp7kiOLykVwQMjzlkzuzkGQCSwyvqSxNHL8zOnuXQTFmP9PN14J5LNj9hlJ2zCJgvgJkcEK8cOjYjVTtSL1liSzp77thbJypxm/rmU18CwmiSos7RKeP1NGiNjMYHNjR6foMkPWMWhR0us/iIYXrKOreg9M95PbrEsSmi0kIUQXJg1+L05lPWggoAVweXrfJLpzesBRWgOAHO5ZB4ebqTBbUaHDNen+/kX/AA8sZX/s3Gz7dKekVQI+vhERMzI51a9OIdixrxDt+zJ79gf57oN8skR7g3OTTnZMMABAGcywHR8ozB6iQYHa+SI8brc8zcLtogRTA6IhLD+dOPAzAMUAQeSU+f/lMbhhlwKB4eOytofso4OwuyoADm8SHJynLH00B0nCU2KKCgSfT37NfI6ZNftD8HIMWR++xqdsqEWRB3LFHEqRwSLU5I0imLQEWwGFxinO1mQTG+zEhWzG9YhBtiQQ3dvjh70h2KAf4rv47N7Caj9ZQ0wNEMhRUULcPXSDo45nB9RubXSMB8eers9Cl7z8mhHozuIr0iqBOHcDOnCA4v3aG+1CPcxdP+AYYrgvX8hCMzZT0K2GjAXCbE6flO6NhHKcj8JlMzUodhAoizgpbP2IMthFbyB6i/Vib6e04GQxvJsjyzFlQArQSwiA8ZZucuDDPsUFyPLnNsCidiCHfs18Tcr5EAq/Hw8p0AZOfPcmhmQegYYCqHJMuTYP8C2IPtIDtDFqdMzSjIBxU5QLR4xt7zMAAdT47v2Lg2BCxMDo5JTYRZnDBez4MczQDz+Ijh6pQ4nTIPzO5djy5bK9cpzhALKvGh0W6NDAOu3UV6RVAnDuGaU1scNQQde6RjTsLRsUe4nH7ZouMArh0KhDvOzlgmYYfienjEAVOi5SnngYei5/m5aamOybH+nj3P76+NAyJRwFpBsjzl0EyDLahVfMAom5Kk50HcMYCZXGEkK8yZ7Y1xEHDPgyNHad2wym8QoAiOrlpFsL5pLSgCDkWw9M5gdcoom7IKVATZ8BKHnO9kQcUHLkrrWXuwhdAkEwfE/LVxwHxJFHEmB0SLEw4It7KXyRGj7IxBeso80Mo2o2MmssScPcXaSB6pphG/JtZujYyOeovgwsUjjsHZE8Ho2IfUDc6sEgmhlTzCHZzba2UcdiguIxvttAs69oldyeqEaeCC94jWj/sgwILySNpfOzgIQz4zOWCwvMmRzDAB/gWAdHDE2EwZrU6YJWHXRhP7XIcnX2BqRuokJSgQ7vDm5wE4uKLvrzGeHDI3A4Yn9to4kDKYJ8eM0lMO1yeshmFzbcaXOTIzBvNnOIvC5mtw6Obr1B7ml+7o6mFVyKHj+f21o0th/UimckiyeJZLTDGTsPnyPP9kdZNZErYfvRU0PP03nMpBkAU1OPTnyJ8CMLnUK4ILF49Kj+ZPcBbodPUH/9HcK4KwB3guBxzOvwyE0UoAy+SQcXZuzdFA5MPoEomsOVh8NRj5eOV34MYdgny8teWvDeHawUY7HSwsKg+1oGzOx5Sj7AbLYYBPBEjcwXZ5+gVuRGEHxKE7+C9N7cF2fE1/KAKcyhGX3bWD47BDcZUcM1mfcsWckAUeijK+TCSGy/PHmQYeiiO3D67MvsjSJEH+heNLV1kb4erMouPJ5RcFffcsOuR4Zi306FAPUgCywRGH5nwnxemjnY5nj3MqYWvz8Iq9R79GDntFcPEyvmIb0VxffTHY6XrlTn+tpToOAh/gSXSF6ytHGQSi49X4Dq6sn7boONCaSI4s5XB99SUWgbTS4dXr+bWnZhKGfIYjTs0kn69QxTkbXM6vjQ7CDvP15BqXzDlX18+SjsKuHTpT/e70TzmPw+b66Iqd63tSezhdDlQE59Exd6cWKY4vhymCdHiJO7OvMpQUOQg7FP383p09wXwQtja9FXR39gQ35Tgo+iaKY87kgLsze89HV8MUwTw+4rqb6+Qo7J69L+jK+ibpOGxteivoevo453GYIrh854sBuNuN+9itmVslvSKokaM77EO4yilnSdiCPzi6zJmZcJUTFmbAcUj0DXA+uMZVrAPy8No9QdeuD16UXxsdhR0Qw6v+nk9YjMI2y5UX3QvANU64EYXdL8CN6CrXsNFKl+/aqlbeKovRXVx1144u6zvJAUTHdxOJsSUuDsI22sgdbEcyYxq4Rg6PLpOaiCOZccJhEPUIMIuPORKbdXpwJUyJrEeXbEVdIDoKu2d/sB3IglWg4jy8fC2/9izQggI4k0NbwRO4fEfYc56N7uIyrjptIK0kx9etpSwLzCTsng+u2T11mXPmg7B7Pr50laVJuMQ552YcvEZCpVcENXL5zuIwmo/CNfGNyB4Mz8iV4IbT83HxfZdf9NKga+VSsUEGl8OUyKFbtADZJOyeL125g4UZAHCWhCuCk4E9VJcm5tLVQIR7WKDDg6thB8TwSjFHoZTBcekwWgYeihJFPCv2YDgJpAwA5iUa61KgNVG2AoaBtNLoUrEu1oG00qUSig+llQDOnU9iZobqGlpe0sPiWU0CLajh1eIsCF0jV+9+ef56GUgrSRRxw62NZ6JbSwvBnopARP59EfmMiKxF5MGWz71NRD4rIo+JyHtL779CRD7h3v9lkYCaurdQLl97ka0lDqwmYQsH4DS55v4PPxQz931rI1wJRD7lwz/0ULxy/d7ih6Mw01uiiGfELvTZMGyzAMxH9p5vyOWgpC4AOSoOwuM7X9zyyW05vLNQtMlx2D3fec99tvwAkI3D7/nZxN7zWRweFrg4tPeZmihYcSbXiuc8CbQmrt7zivy1HIaBheFozFdxYbOj8IPtbGTHekPClQjHxV4IBVcHdxbzFQqurpW+Kz0IW18AJ7E9P04Gt5YWgv0tgk8D3wn8y6YPiEgM/H3g7cBrgO8Rkde4X/808DPGmFcDzwI/uOd4nhOJ4hiD3eRcvS/4+unYPvSTyb0dn6yRS3aTzxmSKBt0ezm8o0Avd738zwVde7V0iI5e9Oqga4GcQltcvi/42tWB3eRPD8I2GsDgSume7wn77ssvKp7PlZd+bdj3DkdEYgCQO14VdC3A2dgeTqeHLwu+lkv2nk/lMMgfA3B0Z4FS737F1wdde2dpfid33x90LcCN2Fl+l1/R8cltWRzZe356FEYdAgxKqP6OQEVw5XoxX1fv/bqga8vPJt5hjZyM7Z6cTsJA3S6ylyIwxvyBMeazHR97PfCYMeZzxpgl8EvAO13D+jcBv+I+9wFsA/sXhHwhuQ+A45d/U/C1yzvtBltdC98sV171egAeH4QfEC9/zevz13dcD1vwcZIwM1bxvOjV3xz83TcP7gNgcHfY4QKQ3PtaAKbjMIQKcM9r/i17bWCCE8CLXlwcSC9+1TcGf/ejsVWYxy8Lv3bh1ki6g+K89Ko3AHBjB8rg3tIauRwQwglW+d3AJrDd9crwfXHj0M734HrYgQqQvNSukUWgkxrg+te8IX8dStXeVVoj99wXBq6gtEbuDd8XiytWeWTX/3zwtaGyV89ipbwE+GLp5y8BbwDuAG4YY9LS+43qXkTeA7wH4GUv2wFFBYq84+/x8d/+Z7zudW8JvvZr3/7DPPQrT3H/238k+Nr7v/lNfPyTP8CdD35n8LXjgyN++xv/O+LxEeFHOXzurT/PyWP/ir/wyvAF/9J3/fc89Gt38Off9D3B137Dm7+Xh770CC99yw8HX/vi+76Wj9/3n3H0yjcQehxLFPHw6/5HsvMbvCGQdwYwf+Xv8PGHf5XXPxi+Ru5/2w/z0K9+lfu//b8IvvZrHnwzH//U9/Hib/n+4GsPj6/widf8N4yuvoQHgq+GL/6l/4U/fPwzvPG+MAsK4Po7fpKHPnqdB978vcHXfv2b/0Meevz3eNnb/3rwtS999Tfw0Cv/S45f9UZCj+M4jvmd1/9dssUZr1d2NiuLvOPv8fGHP8gbdlgjr/4rf52H/u8ZX/fW/yT42lARY0z7B0Q+CtTZJu8zxnzIfeafAz/mmtZXr38X8DZjzA+5n/8jrCL4SeAhRwshIvcCv26M+YauQT/44IPm4Ye3vqqXXnrppZcWEZHfMcZs+XM7LQJjTLgq25THgTJZ/lL33tPAFRFJnFXg3++ll1566eUC5SLCR/81cL+LEBoC3w182FhT5LeAd7nPvRv40AWMp5deeumll5LsGz76V0XkS8BfAH5NRH7Dvf9iEfl/ABza/xHgN4A/AP5PY8xn3J/4ceBHReQxrM/g5/YZTy+99NJLL+HS6SN4IUrvI+ill156CZcmH0GfWdxLL730cptLrwh66aWXXm5z6RVBL7300sttLr0i6KWXXnq5zeXPpLNYRJ4CvrDj5XcCX30Oh/NcST+uMOnHFSb9uMLkhTou2G9sLzfGbFUq/DOpCPYREXm4zmv+fEs/rjDpxxUm/bjC5IU6Lrg1Y+upoV566aWX21x6RdBLL730cpvL7agI3v98D6BB+nGFST+uMOnHFSYv1HHBLRjbbecj6KWXXnrpZVNuR4ugl1566aWXkvSKoJdeeunlNpfbShGIyNtE5LMi8piIvPcCv/deEfktEfl9EfmMiPxX7v2fFJHHReQR9+/bS9f8hBvnZ0XkL9/i8X1eRD7lxvCwe++aiHxERB51/19174uI/M9ubJ8UkdfeojF9bWleHhGRExH5a8/HnInIPxSRJ0Xk06X3gudHRN7tPv+oiLz7Fo3rb4vIH7rv/qCIXHHv3ycis9K8/YPSNd/snv9jbuxyC8YV/Nye6/3aMK5fLo3p8yLyiHv/Iuer6Xy4uDVmjLkt/gEx8MfAK4Eh8HvAay7ou+8BXuteHwN/ocXqygAABExJREFUBLwG26Xtx2o+/xo3vhHwCjfu+BaO7/PAnZX3/gfgve71e4Gfdq+/Hfh1QIA3Ap+4oGf3ZeDlz8ecAd8KvBb49K7zA1wDPuf+v+peX70F43orkLjXP10a133lz1X+zm+7sYob+9tvwbiCntut2K9146r8/u8A/+3zMF9N58OFrbHbySJ4PfCYMeZzxpgl8EvAOy/ii40xTxhjfte9PsX2ZWjsz+zG9UvGmIUx5k+Ax7Djv0h5J/AB9/oDwHeU3v8FY+UhbJe5e27xWN4M/LExpi2b/JbNmTHmXwLP1HxfyPz8ZeAjxphnjDHPAh8B3vZcj8sY85um6AP+ELbzX6O4sV0yxjxk7GnyC6V7ec7G1SJNz+05369t43Ko/ruAf9r2N27RfDWdDxe2xm4nRfAS4Iuln79E+2F8S0RE7gO+CfiEe+tHnHn3D73px8WP1QC/KSK/IyLvce9dN8Y84V5/Gbj+PI0NbFe78gZ9IcxZ6Pw8H/P2H2ORo5dXiMj/JyL/QkS+xb33EjeWixhXyHO76Pn6FuArxphHS+9d+HxVzocLW2O3kyJ43kVEjoBfBf6aMeYE+N+AVwEPAE9gTdPnQ/6iMea1wNuB/1xEvrX8S4d8npc4Y7HtTd8B/DP31gtlznJ5PuenSUTkfUAK/KJ76wngZcaYbwJ+FPg/ROTSBQ7pBffcKvI9bIKNC5+vmvMhl1u9xm4nRfA4cG/p55e69y5ERGSAfci/aIz5vwCMMV8xxmTGmDXwv1NQGRc6VmPM4+7/J4EPunF8xVM+7v8nn4+xYZXT7xpjvuLG+IKYM8Ln58LGJyLfD/w7wPe6AwRHvTztXv8Oln//GjeGMn10S8a1w3O7yPlKgO8Efrk03gudr7rzgQtcY7eTIvjXwP0i8gqHMr8b+PBFfLHjH38O+ANjzP9Uer/Mrf9VwEczfBj4bhEZicgrgPuxDqpbMbZDETn2r7HOxk+7Mfiog3cDHyqN7ftc5MIbgZsl8/VWyAZSeyHMWen7QubnN4C3ishVR4u81b33nIqIvA34r4F3GGOmpffvEpHYvX4ldn4+58Z2IiJvdOv0+0r38lyOK/S5XeR+fQvwh8aYnPK5yPlqOh+4yDW2j7f7z9o/rLf9j7Da/X0X+L1/EWvWfRJ4xP37duAfA59y738YuKd0zfvcOD/LnlEJHWN7JTYi4/eAz/h5Ae4APgY8CnwUuObeF+Dvu7F9CnjwFo7tEHgauFx678LnDKuIngBWWN71B3eZHyxn/5j79wO3aFyPYXliv87+gfvsv+ee7yPA7wL/bunvPIg9mP8Y+F9xFQee43EFP7fner/Wjcu9//PAf1r57EXOV9P5cGFrrC8x0UsvvfRym8vtRA310ksvvfRSI70i6KWXXnq5zaVXBL300ksvt7n0iqCXXnrp5TaXXhH00ksvvdzm0iuCXnrppZfbXHpF0EsvvfRym8v/Dx6s0xjXIYBxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First, we check: how well did our model predict the past? (How \n",
    "# well did we manage to fit the training data)\n",
    "\n",
    "plt.title(\"Training sequence vs learned fit\")\n",
    "plt.plot(Who.dot(H.T))\n",
    "plt.plot(labels[Ntrans:Ntrain])\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Absolute error wrt. training data\")\n",
    "\n",
    "plt.plot(Who.dot(H.T)-labels[Ntrans:Ntrain])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# All right, looks pretty good! Maximum error of about 0.00001 in the training set.\n",
    "# We finally validate by checking if we can predict 500 steps into the future:\n",
    "state0 = H[-1]\n",
    "input0 = labels[-1]\n",
    "\n",
    "# Predict Npredict steps into the future, running free from final\n",
    "# training input and hidden state.\n",
    "ys, h = predict(model,state0,input0,Npredict)\n",
    "\n",
    "# Let's compare the 500-step forecast with the true continuation of the sequence\n",
    "plt.plot(ys)\n",
    "plt.plot(pred_labels)\n",
    "plt.title(\"500-step prediction vs truth\")\n",
    "plt.show()\n",
    "\n",
    "plt.plot(ys[:-1]-pred_labels)\n",
    "plt.title(\"Absolute error prediction vs truth\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Not bad! \n",
    "# Visually indistinguishable even after 500 free-predicting steps, and 5-6 digit accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "# Test 2: Predicting a complicated periodic function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#------- Test 2: Predicting a complicated periodic function -----\n",
    "#\n",
    "# Now let's try something more complicated, but still\n",
    "# very predictable: A periodic function composed of a handful \n",
    "# of frequencies: \n",
    "data = data2;\n",
    "\n",
    "# First we split the data into training data (input/labels) and prediction labels\n",
    "# (To verify that our prediction is correct)\n",
    "inputs, labels, pred_labels = split_train_label_pred(data,Ntrain,Npredict)\n",
    "\n",
    "# Second, we initialize the hidden state sequence from the input sequence\n",
    "H = generate_state_matrix((Whh,Wih,bh),inputs,Ntrans)\n",
    "\n",
    "# Third, we can find the hidden-to-output matrix Woh with a linear\n",
    "# least-squares fit.\n",
    "Who = lstsq_stable(H,labels[Ntrans:Ntrain])\n",
    "\n",
    "# Our trained model now simply consists of the static matrices \n",
    "# Whh (hidden-hidden), Wih (input-hidden), and bh (bias hidden), which\n",
    "# are problem-independent and are unrelated to the data, and the learned\n",
    "# hidden-to-output matrix Who.\n",
    "model = (Whh,Wih,bh,Who)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First, we check: how well did our model predict the past? (How \n",
    "# well did we manage to fit the training data)\n",
    "\n",
    "plt.title(\"Training sequence vs learned fit\")\n",
    "plt.plot(Who.dot(H.T))\n",
    "plt.plot(labels[Ntrans:Ntrain])\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Absolute error wrt. training data\")\n",
    "plt.plot(Who.dot(H.T)-labels[Ntrans:Ntrain])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We finally use the trained model to do a free-running prediction for 500 \n",
    "# steps into the future, and check against the validation data pred_labels.\n",
    "state0 = H[-1]\n",
    "input0 = labels[-1]\n",
    "\n",
    "\n",
    "# Predict Npredict steps into the future, running free from final\n",
    "# training input and hidden state.\n",
    "ys, h = predict(model,state0,input0,Npredict)\n",
    "\n",
    "# Let's compare the 500-step forecast with the true continuation of the sequence\n",
    "plt.plot(ys)\n",
    "plt.plot(pred_labels)\n",
    "plt.title(\"500-step prediction vs truth\")\n",
    "plt.show()\n",
    "\n",
    "plt.semilogy(np.abs(ys[:-1]-pred_labels))\n",
    "plt.title(\"Absolute error prediction vs truth\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We see that the prediction is visually indistinguishable from the validation data,\n",
    "# with errors only on the third digit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "# Test 3: Predicting a chaotic sequence "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "#------- Test 3: Predicting a chaotic sequence -----\n",
    "#\n",
    "# Our final test is to predict the Mackey-Glass sequence \n",
    "# (http://www.scholarpedia.org/article/Mackey-Glass_equation)\n",
    "\n",
    "def mackey_sequence(b=None, N=3000):\n",
    "    \"\"\"Create the Mackey-Glass series\"\"\"\n",
    "    c = 0.2\n",
    "    tau = 17\n",
    "    n = 10\n",
    "\n",
    "    yinit = np.array([0.9697, 0.9699, 0.9794, 1.0003, 1.0319, 1.0703, 1.1076,\n",
    "        1.1352, 1.1485, 1.1482, 1.1383, 1.1234, 1.1072, 1.0928, 1.0820, 1.0756,\n",
    "        1.0739, 1.0759])\n",
    "\n",
    "    if b is None:\n",
    "        b = np.zeros(N) + 0.1\n",
    "\n",
    "    y = np.zeros(N)\n",
    "    y[:yinit.shape[0]] = yinit\n",
    "\n",
    "    for i in range(tau, N - 1):\n",
    "        yi = y[i] - b[i] * y[i] + c * y[i - tau] / (1 + y[i - tau]**n)\n",
    "        y[i + 1] = yi\n",
    "    return y\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Training data for task 3\n",
    "data = mackey_sequence()\n",
    "\n",
    "# 1. Split into training and validation\n",
    "inputs, labels, pred_labels = split_train_label_pred(data,Ntrain,Npredict)\n",
    "\n",
    "# 2. Initialize the hidden state sequence from the input sequence\n",
    "H = generate_state_matrix((Whh,Wih,bh),inputs,Ntrans)\n",
    "\n",
    "# 3. Find the hidden-to-output matrix Woh \n",
    "Who = lstsq_stable(H,labels[Ntrans:Ntrain])\n",
    "\n",
    "model = (Whh,Wih,bh,Who)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# How well did our model predict the past? \n",
    "# (How  well did we manage to fit the training data)\n",
    "plt.plot(Who.dot(H.T))\n",
    "plt.plot(labels[Ntrans:Ntrain])\n",
    "plt.title(\"Training sequence vs learned fit\")\n",
    "plt.show()\n",
    "# We see no visual difference.\n",
    "\n",
    "plt.plot(Who.dot(H.T)-labels[Ntrans:Ntrain])\n",
    "plt.title(\"Absolute error wrt. training data\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We again use the trained model to do a free-running prediction for 500 \n",
    "# steps into the future, and check against the validation data pred_labels.\n",
    "state0 = H[-1]\n",
    "input0 = labels[-1]\n",
    "\n",
    "# Predict Npredict steps into the future, running free from final\n",
    "# training input and hidden state.\n",
    "ys, h = predict(model,state0,input0,Npredict)\n",
    "\n",
    "# Let's compare the 500-step forecast with the true continuation of the sequence\n",
    "plt.plot(ys[:-1])\n",
    "plt.plot(pred_labels)\n",
    "plt.title(\"500-step prediction vs truth\")\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Absolute error prediction vs truth\")\n",
    "plt.semilogy(np.abs(ys[:-1]-pred_labels))\n",
    "plt.show()"
   ]
  },
  {
   "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
