{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Inverse Problems\n",
    "\n",
    "Consider the integration operator $A:L^2\\left(\\left[0,1\\right]\\right)\\rightarrow L^2\\left(\\left[0,1\\right]\\right)$\n",
    "\n",
    "$$ (Ax)(t) = \\int_0^{t}x(s) ds $$\n",
    "    \n",
    "    \n",
    "    \n",
    "\n",
    "$A$ is linear and compact, hence  the inverse problem is ill-posed. \n",
    "\n",
    "We want to be able to compute the operator numerically. To do this, we will discretize the interval $[0, 1]$ on the grid $s_i = (i-\\frac{1}{2})h, \\ i=1,2,...,N$  with $h = \\frac{1}{N}$. The function $x$ can be approximated by a piecewise constant step\n",
    "function $\\tilde{x}$ with values $x_i = f(s_i)$ on the interval $\\left[(i-1)h, ih\\right]$.\n",
    "\n",
    "The function $y = Ax$ can then be approximated by a vector $\\tilde{y}=(y_1,y_2, ...,y_N)$ defined as\n",
    "\n",
    "$$ y_i= (A \\tilde{x})(s_i) = \\int_0^{s_i}\\tilde{x}(s) ds $$\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "One can prove that $\\tilde{y}$ is given by the matrix-vector multiplication $\\tilde{y} = \\tilde{A}\\tilde{x}$ with \n",
    "\n",
    "$$\\tilde{A}=h \\begin{bmatrix}\n",
    "    \\frac{1}{2}  & 0           & 0       & \\cdots & 0           & 0          \\\\\n",
    "    1            & \\frac{1}{2} & 0       & \\cdots & 0           & 0          \\\\\n",
    "    \\vdots       & \\vdots      & \\vdots  &        & \\vdots      & \\vdots     \\\\ \n",
    "    1            & 1           & 1       & \\cdots & \\frac{1}{2} & 0     \\\\ \n",
    "    1            & 1           & 1       & \\cdots & 1           & \\frac{1}{2}\\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1 (Operator discretization)\n",
    "**a)** Compute and plot the above introduced discretization matrix corresponding to the operator $A$. <br> \n",
    "\n",
    "**Hint:** Use the function `plt.imshow` to show a matrix as an image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1c7ce9bf9e8>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a) Your code goes here !!!\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "n = 200\n",
    "h = 1/n\n",
    "A = np.zeros(shape=(n, n))\n",
    "\n",
    "# for i in range(n):\n",
    "#     A[i,i] = 0.5\n",
    "#     for j in range(i):\n",
    "#         A[i,j] = 1\n",
    "\n",
    "A = h * (np.tril(np.ones(shape=(n, n))) - 0.5 * np.eye(n))\n",
    "\n",
    "plt.imshow(A)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**b)** Using the above mentioned discretization, compute and plot $x(s) = e^{2s} \\cos(5s)$ and $y(t) = (Ax)(t)$.\n",
    "\n",
    "**Hint:** Use the function `plt.plot` and inlcude the argument `label` for each plot to distingish them. Use the method `plt.legend()` to show the legend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1c7cea06c50>"
      ]
     },
     "execution_count": 2,
     "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": [
    "# b) Your code goes here !!!\n",
    "s = np.arange(h/2, 1, h)\n",
    "x = np.exp(2*s) * np.cos(5*s)\n",
    "plt.plot(s, x, label='x')\n",
    "\n",
    "y = np.dot(A, x)\n",
    "plt.plot(s, y, label='y')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2 (Direct Inversion)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now lets try to reconstruct $x$ from $y$. For that we would need in principle to compute the inverse of the matrix $A$. <br>\n",
    "\n",
    "**a)** Set $y^\\delta = y + \\sigma\\delta$ with $\\delta \\sim N(0, \\mathbb{1}_n)$ and try to reconstruct $x^\\delta = A^{-1} y^\\delta$. Set $\\sigma=0, 10^{-4}, 10^{-3}, 10^{-2}$ and show $y^\\delta$ and $x^\\delta$ in different plots (2 columns each).<br>\n",
    "\n",
    "**Hint:** Use `np.linalg.solve()` for computing $x$ and `np.random.normal()` for the noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9IIUwpLGxkba2Nnp6eujs7CQoaGC7UhzaztvbG5vN9u3zzs6Do9paazIyMli3bp19QwvhJAdqDi4zEZWU7tB+5LTjCcgr3895Sz/n8+J6fnVBOk9dO1UKr2M4JyOG++aPY9W2KpauLjYdRwiPtWTJEn7zm99w9dVXc8899/TbJjg4mNbW1iMeY9SoURQUFNDV1UVzczOffPIJAGPHjqWuru7b4qunp4f8/Hz7vwghHEQ1ltKmAwiPinNoPzLydRy0Prgv40NvFRAV7Md/bjmJCQkhpmO5jR+eksKOqlYe/6SY7FHhnJwWaTqSEB7lxRdfxNvbm6uuugqr1cpJJ53E6tWrOfPMM7/TbuLEiXh7ezNp0iQWL15MWNh3twxLTEzksssuY+LEiaSlpZGVlQWAr68vK1as4I477qC5uZne3l7uuusuMjIct1ilEPbk37qHau84Uh24zASAcuWtT7Kzs3Vubq7pGAB09lh54L/bWbGpgtPGRPHY5ZMJ87AlJOyho7uXBU98SWN7N6vuOIWYENliRvwfpdQmrXW26Rz20N/nV2FhIePHjzeUyPXJfx9hWsVD46gJGsvUn608oZ8f6GeYnHYcgL0NHSz6+1es2FTBnXPSeG7xNCm8TlCgrzf/uGYKB3qs3P7K1/Rabcf+ISGEEMLBerq7iLbV0h2S5PC+5LTjMazZUcudyzcD8PziaZwxboThRO4vdUQwv180gTuX5/Hoh0XcN1/+0hXChG3btnHttdd+52t+fn5s2LDBUCIhzKmtKCFeWfFy8DITIMXXEVltmsc/KWbpJ8Wkxw7nyWumMjIi0HSsIWPB5Hg2lDXy1NpSThsTxUmjZf6XEM42YcIE8vLyTMcQwiU07CkkHgiOG+vwvuS0Yz+a2ru5/oUcln5SzCVTE3jj1pOk8HKAX56XTkpkEP/v9a20dPaYjiOEU7jyPFuT5L+LMO3bZSZGOf5sjBRfh9lW0cz5f/2C9bsa+N+FE3j0komyKKiDBPh68afLJlHVfIBfv11gOo4QDufv709DQ4MUGofRWtPQ0IC/v1yAI8zRjaW0a38iRiQ4vC857XiIV3P28suV+UQG+fL6j2YxKTHUdKQhL2tkGD8+I5W/ri5hbno052TEmI4khMMkJCRQUVFBXV2d6Sgux9/fn4QEx//SE+JIAlp3U+0dx2gHLzMBUnwBB5eR+NVb+SzPKeeUtEgevyKLcLma0WluPzON1Ttq+cUb25g6KozIYX6mIwnhED4+PiQnJ5uOIYToR3hnBXVBqU7py+NPO1Y0dXDZU+tYnlPOraeP5oXrp0vh5WS+3hb+cvlkWjt7eUhOPwohhHCy3p5uom01dA1Pckp/Hl18fV5cxwV//YKyunaevnYqP583Di/Zc9CIMdHB3HrGaN7eso9Pi2pNxxFCCOFBasp34auseEfKyJfDaK3525oSrntuI1HBfqy8bTZny1wj4245fTSjo4J44L/bOdBtNR1HCCGEh2gsLwQgKHaMU/rzuOKrpbOHm/+1iUc/KOK8iXH898ezSYkaZjqWAPy8vfjfhROoaDrAY5/sNB1HCCGEh+ioPvg7xxnLTICHFV87a1q56IkvWb2jlgfPT2fpFZMJ9JVrDlzJjJQILs9O5JnPyyjY12I6jhBCCE9QX0y79icyZqRTuvOY4uvtLftY8MSXtHT28vIPZ3LDyckoJfO7XNF9544jLNCHX7y5DZtN1kMSQgjhWAGtu6nyjkc5YZkJ8IDiq8dq4zfvFHD7K5vJiBvOqjtOZnpyuOlY4ihCA325b/548sr388bmStNxhBBCDHGRXeXsD0xyWn9Duviqbu7k6n9u4Nkvylh8UhIv/3Am0cNlBWV3sDArnsmJoTzy/g7aunpNxxFCCDFEdXV2EGOrpSc0xWl9DtkJT2t31vGTV/Po7LHy+BWTWTA53nQkcRwsFsX/XJDOwr9/xd/WlHDPvHGmIwnhMnq6u6iv2k1zXQW9ne1Yuzuwdndi8fLFOzAYv6BQgkKiGJGQgrePrFsoxNFUlRWQpDQ+I9Kc1ueQK756rTYe+7iYv31awpgRwfzt6imkjpCrGd1R1sgwFk2J59nPy7hiWiKjIoJMRxLCqWxWK3uKvqZ+50as+/II3l9IVHclkbqJWKWJPcbP92gvyi3RNPon0BGeQeDok0jKOpOQsEin5BfCHTTuLSQJCElwzpWOYKfiSyk1D3gc8AKe0Vo/fNj3/YAXgalAA3C51nq3Pfo+VG1LJ7e/spkNZY1cnp3Iry7MIMBXNsV2Z/fMG8f726v57apC/vmDbNNxhAdTSj0HnA/Uaq0zHdXPvt1FlG98C5+9n5HctplkWkkGDmhf9vqksCdkOruGJ+AVmohfeDw+/sPw9gvA2zcAa2833e0t9HQ009NaR2/9Lvxaygjt2EtGRS7elc/Tu9ZCoe949ifOYdSp1xCXNNZRL0UIt9BVc3CZiZgUh/2z/p5BF19KKS/gb8BcoALIUUq9pbU+dJ+YG4EmrXWqUuoK4BHg8sH2fagvS+q5c/lm2rus/OnSSVw8VTZoHQqih/tz25mp/OH9Ir4sqWd2qvzFLox5AXiCg39I2lVFyXbKv3yFyL3vk2YtIQ6oIYKSkNmQfAojxs4iIW0SY71P/CO7o62ZHVs+o7VwNVFVa5lVuhRKl1Lok0FbxlVMOOd6/ANkdFl4Hq/GEuoJJTLEeRfj2WPkazpQorUuBVBKLQcWAIcWXwuAX/U9XgE8oZRSWmu7rCPwxOpi/vTRTlKjhvHKD6eQFh1sj8MKF3HD7GReWr+Xh9/bwcofz8YiW0AJA7TWnymlkux93K/ff4Ep6+8kASjyHsv60XcSN2MRiakTibbjZe+Bw0LInH0BzL4AgKo9Rez+dBlxe1YyPu9+GvMeYXPi5aQvvIeQ8Ci79SuEqwtu30OtbyLO/NPeHsVXPFB+yPMKYMaR2mite5VSzUAEUH/4wZRSS4AlACNHDmyxM19vCwuz4vntRZmyaOoQ5O/jxU/PHsPdr21h1bYqLpgUZzqSEP06kc+v0dPms76xnKSTr2DsSOdN+I0dNZbY6/4Xbfst2798m951/2BW+T9pWfoS6xKvZuJlDxAUHOq0PEKYEt1TTkn4aU7t0x5/VvU3DHH4iNZA2hz8otZPa62ztdbZUVED++vrh6ek8KdLJ0nhNYQtmBzPuJhg/vhhEd29NtNxhOjXiXx+hUREM/OqXxLjxMLrUMpiIfOUBUz++fvsuvgDSoKmMqv8n3T8aTI5/30Cm1X2WRVDV3NjHeG0YAsf7dR+7VF8VQCJhzxPAPYdqY1SyhsIARrt0Dd9x5TV6oc4L4vinnnj2NPQwfKcvabjCDEkjZ4wkyn/7x12nP8GTd5RTMu7n8JHTqOyNN90NCEcomb3wfe2f7RzLzyxR/GVA6QppZKVUr7AFcBbh7V5C7iu7/ElwGp7zfcSnuP0sVFMTw5n6SfFtMvCq0I4zLjsOaTet56cib9mZFcJYcvOYP0r/yujYGLIaakoBCBsZLpT+x108aW17gVuAz4ACoHXtNb5SqlfK6Uu7Gv2LBChlCoB7gbuHWy/wvMopbh3/jjq27r55+elpuMID6OUegVYB4xVSlUopW40ncmRLF5eTFt0Jx0//JKSgInMLHqEwkdOp75aRp7F0NFTu5NebSE2ybkLedvlUhqt9bta6zFa69Fa69/1fe1BrfVbfY87tdaXaq1TtdbTv7kyUojjNWVkGOdkRPPM52Xs7+g2HUd4EK31lVrrWK21j9Y6QWv9rOlMzhCdMJoJP/+QjRMeIqVrB/rJU9mx4UPTsYSwC9/9pVRbovH1c+7Wg0N6b0cxNP1k7hjaunp55vMy01GE8AjKYmH6xXdRdek7dCk/Rr97Betf+V+0TS5+Ee4t9MBeGvwTj93QzqT4Em5nXMxwzpsQy/NfltHULqNfQjhLSuYMgu/4kvyg6cwseoScJ35Ab4/8GxTuSdtsxPZWciA42el9S/El3NIdc9Lo6LHyzBdyBlsIZwoJi2TiT1exLv56pje+zba/LOBAe6vpWEIct9p9ZQSqLlSk85d5keJLuKWxMcGcOyGWF77cTaOMfgnhVBYvL2b98DE2jP8Fk9rXsecvc9lfX206lhDHpa5vmYmgOOfvbyrFl3Bbd/WNfsmVj0KYMePye8ib9RjJPSXs//tZ1FeXH/uHhHAR7fuKAIhKynB631J8CbeVFh3M+RPjWPbVbhraukzHEcIjTZm3mJKzlzHCWkvb0+fSUFNhOpIQA6IbSujQfkTFJjm9bym+hFu7c04qB3qsPP/lbtNRhPBYGbPPo/TsZ4m2VtPy1Hk01VWZjiTEMQW0lFHlHY/Fy8vpfUvxJdxa6ohg5mXEsGzdblo7e0zHEcJjZc6+gJI5zxBrraTxyfk0N9SYjiTEUUV07mV/wEgjfUvxJdzeraen0trZy7/Xy8rbQpg04dQF7DzjKRJ7y9n35EV0Hmg3HUmIfnUeaCfWVk13WKqR/qX4Em5vQkIIp6RF8uwXZXT2yN5zQpg08fSL2TbjD4zvKaDgiSuw9so+rML1VJUV4KU0PjHO3VboG1J8iSHh1tNTqW/r4vVNMtlXCNOmnnsj69PuZkr7Z+Q89SNZCV+4nKY92wEIS3T+lY4gxZcYImamhJM1MpSn1u6i1yof9EKYNvPq/2H9iMuZWfc6G175jek4QnxHV/UOAOJGTzDSvxRfYkhQSnHr6alUNB3g7a37TMcRQgDTb/4HXw87lek7/8LWNStMxxHiWz5NJVQRRUBQsJH+pfgSQ8accSMYGx3Mk5+WorU2HUcIj2fx8mLcj/7Nbq9RJK29g4qS7aYjCQFAaHsZdf5JxvqX4ksMGRaL4qZTkimqaeWLknrTcYQQQOCwEPyvfRUbit6Xr6S9db/pSMLD2axW4nor6BieYiyDFF9iSLlwchyRw/x45vMy01GEEH3iksdRfubfSbSWU/TUtTIBXxhVW1l6cEPtqDHGMkjxJYYUP28vrps1irU769hZ02o6jhCiz4RTF5CTdidT2j6TCfjCqLqybQAEJ5i50hGk+BJD0NUzR+HnbeG5L2T0SwhXMuOq/2Fz0MlM2fk4xZs/Mx1HeKj2fYUARKeYudIRpPgSQ1B4kC8XT03gjc2V1MuG20K4DGWxkHLDczSqMALe+iGtzY2mIwkPpOp30kwQ4VFxxjJI8SWGpBtmJ9Pda+Pf6/eYjiKEOERIRDRN8/9OrK2GomdukvlfwumGtZZS5T0SZTFXAknxJYak1BHDOHPcCP61bo9sOSSEixk/4xw2Jt1Mdusn5Kx8wnQc4WGiu/fSMizZaAYpvsSQddPJyTS0d7Myr9J0FCHEYaZf+zvyfSeRmfdb9pXtMB1HeIjmpnoi2Y8tIs1oDim+xJA1a3QE42OH88znZbLoqhAuxsvbm4hrnsWGhaZXbsJmlRFq4XhVu7YA4B873mgOKb7EkKWU4qaTkymubeOzYll0VQhXEzMyjYKJ95LRvY2Nrz1sOo7wAC3lBQBEJpm70hGk+BJD3AWTDi66uuyr3aajCCH6MW3hHWwJmM6kHY9RXrzFdBwxxFlrd9CtvYkZZW6BVRhk8aWUCldKfaSUKu67D+unzWSl1DqlVL5SaqtS6vLB9CnE8fD1tnDV9ETWFNWyt6HDdBwhxGGUxULctf+kW/nQ/urNWHt7TUcSQ5h/cyn7vOLw9vE1mmOwI1/3Ap9ordOAT/qeH64D+IHWOgOYBzymlAodZL9CDNhVM0ZhUYp/b5BlJ4RwRVFxSRRPeZBxvYXkvPZ703HEEBZ5YDeNAUmmYwy6+FoALOt7vAy46PAGWuudWuvivsf7gFogapD9CjFgMSH+nJ0ezWu55bLshBAuaur5S9jiP42JRX+lem+x6ThiCOru6iTWVk1XWKrpKIMuvqK11lUAffcjjtZYKTUd8AV2HaXNEqVUrlIqt66ubpDxhDjoB7OS2N/Rw1tb9pmOIoToh7JYiLribwBUv3KbLL4q7K6qNB9vZcNnxFjTUY5dfCmlPlZKbe/ntuB4OlJKxQL/Aq7XWh/xX5XW+mmtdbbWOjsqSgbIhH3MTAlnTPQwXly3W5adEMJFxSWNZWvarUw+sJ7NHyw79g8qtQslAAAgAElEQVQIcRwa9hzcUDtkpLkNtb9xzOJLa32W1jqzn9tKoKavqPqmuKrt7xhKqeHAKuABrfV6e74AIQZCKcW1M0exvbKFzeX7TccRQhxB9uW/oMRrNIkbHqJlf4PpOGII6dpXgE0rEtImm44y6NOObwHX9T2+Dlh5eAOllC/wJvCi1vr1QfYnxAlbOCWBYX7e/GudTLwXwlV5+/iiz3+McL2fwn/dbTqOGEJ8m3ZSbRlBQFCw6SiDLr4eBuYqpYqBuX3PUUplK6We6WtzGXAqsFgpldd3M192Co8zzM+bi6fEs2prFfVtXabjCCGOIC3rVHJGXMK0+pWUbPnSdBwxRIS3l1Lrb3ZPx28MqvjSWjdoredordP67hv7vp6rtb6p7/G/tdY+WuvJh9zy7BFeiON17axRdFttvJpTbjqKcDNKqXlKqSKlVIlSqr9ldYQdjb/qYfarYHre+ZlMvheD1tPdRby1ggOhZhdX/YascC88SuqIYGanRvDS+j30WuUDXQyMUsoL+BswH0gHrlRKpZtNNbSFhEVSMuGnjO8pYNM7T5mOI9zcvrJCfJUV7+hxpqMAUnwJD3TtzFHsa+5k7U5ZykQM2HSgRGtdqrXuBpZzcJ1D4UDZF93OTu8xjPr6EdpamkzHEW6soezgCbfQpImGkxwkxZfwOHPGRxM5zI9XNu41HUW4j3jg0HPVFX1fEw5k8fJCz3uEKJrY/vL9puMIN+ZKVzqCFF/CA/l4WbgsO4HVO2qpaj5gOo5wD6qfr31vwThZJNr+xmafycbQc5latZy9O2W6sDgxvo1FLnOlI0jxJTzUFdNGYtPwWk6F6SjCPVQAiYc8TwC+t12CLBLtGClX/IFufGj47y9MRxFuKryjzGWudAQpvoSHGhkRyClpkbyasxerTVa8F8eUA6QppZL71i68goPrHAoniIxJZGvy9WR1fEn+V++ajiPcjKtd6QhSfAkPdtX0kexr7uQzmXgvjkFr3QvcBnwAFAKvaa3zzabyLJMvvZ8aIvBd/SA2q9V0HOFG9pXmu9SVjiDFl/BgZ6UfnHj/sky8FwOgtX5Xaz1Gaz1aa/0703k8TUBQMHsn/5S03mK+fveZY/+AEH0adm8FXOdKR5DiS3gwHy8Ll/ZNvK9u7jQdRwhxDFMv+BElXqNJ2PQonR1tpuMIN+FqVzqCFF/Cw10xLRGrTfN6rqx4L4Srs3h50XnmQ8RQx+bXf286jnATrnalI0jxJTzcqIggTk6NZHlOuUy8F8INZM6+gLyAmWSUPU9zo8zXFMfmalc6ghRfQnDl9JFU7j/A58XyQS6EOxh+3q8ZTjsF//mt6SjCxbnilY4gxZcQzE2PJnKYr6x4L4SbSMmcQW7wHCZVvEJ9tUwZEEfmilc6ghRfQuDrbWHRlAQ+Kayloa3LdBwhxABEL3gIX3oo+c9DpqMIF9ZQtgVwrSsdQYovIQC4dGoCvTbNm5srTUcRQgxAYuoEvo44jym1b1K1p8h0HOGiuqoKXe5KR5DiSwgA0qKDmZwYyopNFWgtE++FcAcjF/4KjaL8zV+ZjiJclCte6QhSfAnxrUuzE9hR3cq2ymbTUYQQAxCTmMrmmIuZ2vSebLot+hXRscvlrnQEKb6E+NYFk+Lw87bweq5sti2Euxhz8YN04kfdW/9jOopwMV2dHSRYKzkQ7lqT7UGKLyG+Ndzfh/mZMazMq6SzR/aOE8IdhI+IZ1vi1Uxt+5SSLV+ajiNcSMXOPLyVDd+4CaajfI8UX0Ic4rLsRFo6e/kgv9p0FCHEAKVfcj8tBNH6gWy5Kf5PY9nBU9GRKVmGk3yfFF9CHGJmSgQJYQGs2CSnHoVwF8NDI8gfeTVZHV+ya9t603GEi7BWbadbexOfKiNfQrg0i0VxydQEviipp3L/AdNxhBADlH7Rz2nVATS/L6Nf4qDA/UWUe4/E28fXdJTvkeJLiMNcMjUBgP/I6JcQbiMkPIr8xKuY0v4ZZQU5puMIFxDbuYvGYWmmY/RLii8hDpMQFshJoyN4fVM5NtlsWwi3MX7hPbTpABrflT0fPV1TXRVRNGGNGm86Sr+k+BKiH5dlJ1LeeID1ZQ2mowghBigkIpptCZeT1bqWPYWbTMcRBlXuzAUgKHGS4ST9G3TxpZQKV0p9pJQq7rsPO0rb4UqpSqXUE4PtVwhHOicjhmB/b1bIml9CuJVxF91LJ77UvStzvzxZ296tAMSmTTWcpH/2GPm6F/hEa50GfNL3/Eh+A6y1Q59COJS/jxcXTorj3e1VtHT2mI4jhBigsKhYtsRdzpSW1ewpklXvPZWlNp8mhhMRk2g6Sr/sUXwtAJb1PV4GXNRfI6XUVCAa+NAOfQrhcJdlJ9LZY+OdLVWmowghjsPYhX2jX6tk7penCm0tZp9vMsrimrOr7JEqWmtdBdB3P+LwBkopC/An4P8d62BKqSVKqVylVG5dXZ0d4glxYiYmhJA2YhhvfC2nHoVwJ+Ej4tkas4is5o+pLC00HUc4mc1qJaFnD62hY01HOaIBFV9KqY+VUtv7uS0YYD+3Au9qrcuP1VBr/bTWOltrnR0VFTXAwwthf0opFk1JIHdPE3sa2k3HEUIch9EL7sWKFxWrHjYdRTjZvrJCAlUXlugM01GOaEDFl9b6LK11Zj+3lUCNUioWoO++tp9DzAJuU0rtBv4I/EApJf8ihMu7KCsOpeCNrytNRxFCHIeouCTyIuYzuX4V9dV7TccRTlS36+CVrqHJrret0DfscdrxLeC6vsfXASsPb6C1vlprPVJrnQT8DHhRa320iflCuITYkABmj47kjc0VaC1rfgnhTuLOvRdveil+61HTUYQTdVZux6YViWOnmI5yRPYovh4G5iqlioG5fc9RSmUrpZ6xw/GFMGrRlHjKGw+Qu6fJdBQhxHFISM0kL/g0Mitfp2W/rNnnKfwaCqm0xBIQFGw6yhENuvjSWjdoredordP67hv7vp6rtb6pn/YvaK1vG2y/QjjLORkxBPp6ycR7IdxQyNyfE6wOkL/yz6ajCCeJ6thFXeBo0zGOyjWvwRTChQT5eTMvM4Z3tlbR2WM1HUcIcRxSJ81mq382aWX/prOjzXQc4WAdbc3E26roinDNbYW+IcWXEANw8ZQEWjt7+biwxnQUIcRx8jrlbiLZz5Z3/m46inCwip15WJTGPz7TdJSjkuJLiAGYmRJBbIi/XPUohBtKnzWfIu+xJBY+Q29Pt+k4woGadh3c03FE2nTDSY5Oii8hBsDLorgoK561O+uoa+0yHUcIcRyUxULH9DuI0zXkvf+86TjCkaq30kIgcUmuu8AqSPElxIBdPCUeq02zMk9Gv4RwN5PmXMkeSyJheU+ibTbTcYSDhDYXUu472mW3FfqGa6cTwoWkjghmUkKInHoUwg1ZvLyoybiR0dZS8r96x3Qc4QDW3l5G9pTRGppuOsoxSfElxHFYNCWBgqoWCqtaTEcRQhyniecuoYEQrF8sNR1FOEBFyVYCVDdecRNNRzkmKb6EOA4XTIrD26J4c7OMfgnhbvwDgtg56komdeawp3CT6TjCzuqKcwCISJ1mOMmxSfElxHEID/LljHEjeHNzJb1WmTfiCZRSlyql8pVSNqVUtuk8YnDGnX8XB7QvNR/+yXQUYWe9lVvo0j4kjplsOsoxSfElxHG6eEo8da1dfLlLtivxENuBRcBnpoOIwQuLimVr5LlMbvxANtweYoY15bPXexQ+vn6moxyTFF9CHKczxo0gJMBHthvyEFrrQq11kekcwn7i5t2NN1aK3/mL6SjCTrTNRkJXCU3Dx5mOMiBSfAlxnPy8vbhgUiwf5FfT2tljOo5wIUqpJUqpXKVUbl1dnek44ggS0yaxJWgW4ype50B7q+k4wg5qKnYRShs6xvUn24MUX0KckEVTEujssfHetmrTUYQdKKU+Vkpt7+e24HiOo7V+WmudrbXOjoqKclRcYQf+p91FGK1sXfUP01GEHVTt2ABASMpUw0kGRoovIU5AVmIoyZFBvLFZTj0OBVrrs7TWmf3cVprOJhxj3LS57PQeQ3zhc1h7e03HEYPUWZ6HTStGjnf9Kx1Bii8hTohSiosmx7O+tJHK/QdMxxFCHCdlsdA65Uck6Cq2rl5uOo4YJP+GfMq94gkcFmI6yoBI8SXECVqYFQ/Af2XNryFNKbVQKVUBzAJWKaU+MJ1J2MekudeyT43AP+fvpqOIQYrtKKYuyLX3czyUFF9CnKCREYFMSwrjja8r0FqbjiMcRGv9ptY6QWvtp7WO1lqfYzqTsA9vH1/2pl3H+J58inJXm44jTtD++mpiqKN3RKbpKAMmxZcQg7AwK4Fdde1sq2w2HUUIcQIyz/8xLQTStvavpqOIE1RReHCyfdAo95hsD1J8CTEo502IxdfLIpttC+Gmhg0PoyB6ARNb1lJbWWY6jjgBbXu+BiAxfYbhJAMnxZcQgxAS6MOc8SN4e8s+emS7ISHc0sh5d2HBxq53HzMdRZwA79rtVBNJaGSM6SgDJsWXEIO0aEoCDe3dfF4si2oK4Y7iksexNegkxlX+h86ONtNxxHGKbi2gKnCM6RjHRYovIQbptDFRhAX68B859SiE2/Kd/eODi66+94zpKOI4NDfVk6j30Tlikukox0WKLyEGydfbwgWT4viooIYW2W5ICLeUPms+u7ySicp/Dm2TKQTuonz7lwAMS55uOMnxkeJLCDtYmBVPd6+N97ZVmY4ihDgBymKhIfMGkm17yP/qHdNxxAC1luUCMDJztuEkx0eKLyHsYPI32w3JqUch3NbEeTfSyHB6vpL9Ht2FX00eFSqGkIho01GOy6CKL6VUuFLqI6VUcd992BHajVRKfaiUKlRKFSilkgbTrxCuRinFoqx4NpQ1UtHUYTqOEOIE+AcEUZRwCZPa11FZmm86jhiAuPZCaoalm45x3AY78nUv8InWOg34pO95f14EHtVajwemA7WD7FcIl3ORbDckhNtLPfdOrFgof/9x01HEMTTUVBBDHT3R7jXZHgZffC0AlvU9XgZcdHgDpVQ64K21/ghAa92mtZahATHkJIYHMj0pnDc2V8p2Q0K4qai4JLaEnEFmzVu0NjeajiOOoiL/CwCGj3afxVW/MdjiK1prXQXQdz+inzZjgP1KqTeUUpuVUo8qpbyOdECl1BKlVK5SKreuTtZNEu5l4ZR4Suva2Voh2w0J4a6Gn347w9QB8t+VuV+urKMsF6tWjMqcZTrKcTtm8aWU+lgptb2f24IB9uENnAL8DJgGpACLj9RYa/201jpba50dFRU1wC6EcA3nTojF19vCm3LqUQi3NWbK6ezwHk/Czn9hs1pNxxFHEFi/hXKvRIKCQ01HOW7HLL601mdprTP7ua0EapRSsQB99/3N5aoANmutS7XWvcB/gSn2fBFCuIqQAB/mjo/mLdluSAi31p51Ewm6iq2fvm46iuiHttlIPLCDuuEZpqOckMGednwLuK7v8XXAyn7a5ABhSqlvhrHOBAoG2a8QLmthVjyN7d2sLZLT5kK4q4lzr6WWcLw2Pmk6iuhHdXkx4bRgi80yHeWEDLb4ehiYq5QqBub2PUcpla2UegZAa23l4CnHT5RS2wAF/HOQ/Qrhsk4bG0V4kK+cehTCjfn4+rEr+UomdG1md2Gu6TjiMFUFXwEQljbTcJITM6jiS2vdoLWeo7VO67tv7Pt6rtb6pkPafaS1nqi1nqC1Xqy17h5scCFclY+XhQsmxvJRYQ3NB2S7ISHc1fjz7qBT+1DzkSw74Wq69ubSrb0YlT7NdJQTIivcC+EAC6ckyHZDQri50MgYtkbMY1LDe+yvrzYdRxxieMM29vik4OcfaDrKCZHiSwgHmJQQQkpUEG/IqUch3FrUWXfir3ooXPVX01FEH5vVysiunTSGuOdke5DiSwiH+Ga7oY1ljZQ3yprCQrir5PRpbPebTHLZcnp7ZMaMKygv2UawOoAl3n0XTpDiSwgHWTBZthsSYijozb6ZGOrZ+vFLpqMIoKbgMwBGjD/ZcJITJ8WXEA6SGB7I9ORw3pTthoRwaxPOuIxKFU3A13KhvkvYu4EWgkgcM9l0khMmxZcQDnTxlHhK69vZItsNCeG2vLy9KU+9hvE9+ZRs+cJ0HI83onkrZf7pWLyOuFOhy5PiSwgHmj8hFj9vC29+XWE6ihBiENLP+zEd2o+m1TLx3qTmpnqSbHvpiJ5qOsqgSPElhAMN9/fhrPSD2w1198p2Q0K4q+GhEWyLOo9J+z+moUb+mDJlT96nAASnzTYbZJCk+BLCwRZlxdPU0cPanbLdkBDuLPbsO/FVvex8V0a/TOnY9RVWrUiedKrpKIMixZcQDnbqmCgignx5c7P8tSyEOxs5ZjJb/aeRuudVurs6TcfxSMPqNrHbO5mg4FDTUQZFii8hHMzHy8IFk+L4uLBWthsSws3pGTcTRRNbP1xmOorHsfb2kty5g/ow973K8RtSfAnhBIumxNPda+Nd2W5ICLc24dRFlKs4grc8azqKx9ldmEuQ6sRr5AzTUQZNii8hnGBCfAijo4J4Q656FMKtWby82Df2B4ztLaIod7XpOB6lvvDg4qpxE043G8QOpPgSwgmUUiyakkDO7ibZbkgIN5dx7o9o1QG0fvY301E8ilfFRuoJJXbUGNNRBk2KLyGcZMHkOADelO2GhHBrw4aHkR99IZOa11C3b7fpOB4jpnUb5UGZKIv7ly7u/wqEcBMJYYHMTJHthoQYChLn3YkXNna9u9R0FI9QX11Ogq6mKzbbdBS7kOJLCCdalJVAWX07eeX7TUcRA6SUelQptUMptVUp9aZSyr2vcRd2EZ+SwdagmYypeJ2uTplK4GjlW9cCEDrGfTfTPpQUX0I40fwJMfh5W3jjazn16EY+AjK11hOBncB9hvMIF+E18xbCaWHr+8+ZjjLkdZV+Rbf2JmnCSaaj2IUUX0I4UbC/D3PTo3l7q2w35C601h9qrXv7nq4HEkzmEa4j8+QL2G1JJGzbc2ib/Ht2pND6ryn1ScM/IMh0FLuQ4ksIJ1s0JZ79HT18WlRrOoo4fjcA75kOIVyDslioGb+YVOsuduR8ZDrOkNXR1szonp00jZhmOordSPElhJOdkhZF5DBfuerRhSilPlZKbe/ntuCQNvcDvcBLRznOEqVUrlIqt65O9vL0BBPm/5BmgjjwuSw74Silmz/FR1kJTHPv/RwP5W06gBCe5pvthl5av5fmjh5CAn1MR/J4WuuzjvZ9pdR1wPnAHH2US1W11k8DTwNkZ2fLJa0eIHBYCOtjLiK76hWqy0uISUw1HWnIaStai1UrUqbMMR3FbmTkSwgDFmUl0G218c62faajiGNQSs0D7gEu1FrLZW3ie0bNvxOFpuy9x01HGZKCazdS6j2a4JBw01HsRoovIQzIjB9O6ohhvClXPbqDJ4Bg4COlVJ5S6knTgYRriR01li3DTmb8vjfo7GgzHWdI6TzQTmrXDhoih858L5DiSwgjlFIszIond08TextkMMWVaa1TtdaJWuvJfbcfmc4kXI/f7FsJpY2t7/3TdJQhpTTvM/xUD/6pQ2e+F9ih+FJKhSulPlJKFffdhx2h3R+UUvlKqUKl1FKllBps30K4s4uy4lFKthsSYihInzmPXV7JROW/IMtO2FHzjk+xaUXyEJrvBfYZ+boX+ERrnQZ80vf8O5RSJwGzgYlAJjANOM0OfQvhtuJDA5iZHMEbmyuw2WRuthDuTFksNGZcT7JtN/nrVpmOM2QMq97Abq9RhEREm45iV/YovhYAy/oeLwMu6qeNBvwBX8AP8AFq7NC3EG7t0uwE9jR0sHF3o+koQohBmjD/JpoYTs+X/zAdZUjo7upkdGcBdeFTTUexO3sUX9Fa6yqAvvsRhzfQWq8D1gBVfbcPtNaF/R1M1skRnmR+ZizBft68lltuOooQYpD8A4LYEb+ISe1fsa9sh+k4bq9k86cEqi580s4wHcXuBlR8DWQBwmP8fCownoPbcsQDZyql+p09p7V+WmudrbXOjoqKGujrEMItBfh6ccHkON7dVkVLZ4/pOEKIQUqZfwc2FHvff8x0FLfXnP8xVq0YPW2e6Sh2N6DiS2t9ltY6s5/bSqBGKRUL0Hff354pC4H1Wus2rXUbB7fnmGmvFyGEO7ssO5HOHhvvbKkyHUUIMUjRCaPZMvw00mtW0t6633QctxZa/RWlPqmEhA+9gRh7nHZ8C7iu7/F1wMp+2uwFTlNKeSulfDg42b7f045CeJpJCSGMjQ6WU49CDBFBp/yY4XSw/b2nTUdxW+2t+0nt3kF91CzTURzCHsXXw8BcpVQxMLfvOUqpbKXUM31tVgC7gG3AFmCL1vptO/QthNtTSnFpdgJ55fvZWdNqOo4QYpDGZs+h2DuNmB3LZNmJE1SS+xE+ysqw8WeajuIQgy6+tNYNWus5Wuu0vvvGvq/naq1v6nts1VrfrLUer7VO11rfPdh+hRhKFmbF4+OleC1HRr+EcHfKYmH/hBsYZatg22dvmo7jlg7s+IRu7U3q1KNuu+q2ZIV7IVxAxDA/zhofzZubK+nulb+UhXB3E89ZTD2hsP5vpqO4paj69RT7pRMQFGw6ikNI8SWEi7gsO5GG9m5W75Al8IRwd37+gRQnX83Ezk2Ubt9gOo5baaytZLS1jJa42aajOIwUX0K4iFPHRBEz3J/XcitMRxFC2EH6+XfSof1o+OjPpqO4lbKc9wAIy5xrOInjSPElhIvwsigunhrPp0W1VDd3mo4jhBikkIhoto24gEn7P6K2ssx0HLdhK/6YZoJImzx0dyGU4ksIF3Lp1ERsGlZskon3QgwFCfN/hhc2dr0jo18DoW02kvevoyR4Ol7e3qbjOIwUX0K4kKTIIE4aHcErG8uxymbbQri9+JTxbAk+lYyqFbS1NJmO4/JKt68nkv1YU+aYjuJQUnwJ4WKunjGKyv0H+KxY9jYVYigIOv2ug4uuvvOE6Sgur3bzKgBSZlxoOIljSfElhIuZmx5N5DA/Xlq/13QUIYQdjM0+kwKfTJJ2LqO3p9t0HJc2vHItu7ySiYwbZTqKQ0nxJYSL8fW2cFl2Aqt31LBv/wHTcYQQdtA17RZiqCPvw2Wmo7is1uZGxnQVUBt9iukoDifFlxAu6MrpI9HAq7LivRBDwqQ5V1Ku4gj5+knZcugIitevwkdZGZ4533QUh5PiSwgXlBgeyGljolies5deq3xQC+HuLF5e7Eu/kTRrCQXr3zcdxyX1Fn1Amw4gberQ3M/xUFJ8CeGirp4xipqWLj7ZUWs6ihDCDiad9yOaGE7P54+bjuJybFYrKY2fszN4Gr5+/qbjOJwUX0K4qDPGHlzx/qUNMvFeiKHAP3AYOxIvZ/KB9ewp3GQ6jksp2fI5kezHNuZc01GcQoovIVyUt5eFK6Yn8nlxHXsbOkzHEULYwbgLf0qH9qP2/YdNR3EpDZvepFdbSJu9yHQUp5DiSwgXdsW0kViU4pUcGf0SYigIi4pla/RFZO3/mH1lO0zHcRkxVWso8sskJCLadBSnkOJLCBcWE+LPmeNG8FpOOV29VtNxhBB2kLLgPmwoyt/5vekoLqGytJBk2x5aRw3djbQPJ8WXEC7u2pmjaGjv5t1tVaajCCHsYER8MnkR5zK5fhX1+/aYjmNc+foVACTOuthwEueR4ksIF3dKWiSjo4J4/svdaC37PQoxFMSffx/e9FLy1iOmoxgXvPsjdltGEp+SYTqK00jxJYSLU0qx+KQktlY0s7l8v+k4Qgg7iE/JYHPIHCZWrWB/fbXpOMY01VUxtmsbVbFDf22vQ0nxJYQbWDQlgWB/b57/crfpKEIIO4mYdy+BqovClX80HcWY4rWv4K1sjJhxuekoTiXFlxBuIMjPm8uzE3lvWxXVzZ2m4wgh7CA5fRqbA08ivfxl2lqaTMcxIqD4LSpULCmZM01HcSopvoRwEz+YlYRVa17aIBN0hRgqgs66hxDa2b7yL6ajOF1jbSXjO7dQHncOyuJZ5YhnvVoh3NjIiEDmjIvm5Q176eyRZSeEGArGTDmdbX5ZpO16gY62ZtNxnKp47XKPPOUIUnwJ4VZumJ1EQ3s3b23ZZzqKEMJOvM+8jwia2frfP5uO4lSBJW9TruI87pQjSPElhFuZNTqCcTHBPPN5qSw7IcQQMX7GOWz1n8rYkudob/WMK5qb6qoY37mFirizPe6UIwyy+FJKXaqUyldK2ZRS2UdpN08pVaSUKlFK3TuYPoXwZEoplpyaws6aNj4tqjMdxyMopX6jlNqqlMpTSn2olIoznUkMPX5nPUAYLWx941HTUZxi5+oX8VY2omddZTqKEYMtN7cDi4DPjtRAKeUF/A2YD6QDVyql0gfZrxAe64JJccSF+PPk2l2mo3iKR7XWE7XWk4F3gAdNBxJDz9jsM9kSMIPxZS/Q2txoOo7DhRb/h1JLEimZM0xHMWJQxZfWulBrXXSMZtOBEq11qda6G1gOLBhMv0J4Mh8vCzeeksKGskY27/XMy9OdSWvdcsjTIEDO9wqHCDznl4TSxvY3hvaq93t35jG2t4jalIWmoxjjjBOt8UD5Ic8r+r7WL6XUEqVUrlIqt65OTqsI0Z8rpiUSEuDDU2tLTUfxCEqp3ymlyoGrOcrIl3x+icFIm3wKmwNPImPPv2huqjcdx2Eq176AVStSz7zedBRjjll8KaU+Vkpt7+c20NEr1c/XjviXo9b6aa11ttY6OyoqaoBdCOFZgvy8uXbmKD4oqKa0rs10HLd3rM85rfX9WutE4CXgtiMdRz6/xGANn/dLhtNOweu/Nh3FIWxWK8mV75AfkE1k3CjTcYw5ZvGltT5La53Zz23lAPuoABIPeZ4AyHXyQgzS4tlJ+HhZ+OfnZaajuL3j+Jx7GbjYREbhGUZPPInc4WcxufIVaiuH3r/twt79dnUAABAZSURBVPXvE0Md3ZmXmY5ilDNOO+YAaUqpZKWUL3AF8JYT+hViSIsc5selUxP4z6YK2XLIgZRSaYc8vRDYYSqL8AxxC3+HFzZ2r7jfdBS769i4jDYdQMYZV5qOYtRgl5pYqJSqAGYBq5RSH/R9PU4p9S6A1rqXg8P0HwCFwGta6/zBxRZCAPzotNHYtOYfn5aYjjKUPdx3CnIrcDZwp+lAYmiLSx73/9u78/Cq6juP4+9vCBDCDmFRSNgCCAKyREBxRrEqFkd5Km4wIo5UQbS1tTpK7XTqOPrUfca9tHWkdUFFBReUKoKisoYlQCAaZd8xBBIgZPvNH7mtiJDckJuz3Hxez5PnOffeH+d8cpL7fb45nPv7sbzdaAblzWbTuky/48RM/t6d9Mv/mLUpI2jUuKnfcXxV0087vuWc6+ica+ica+ecGxF5frtzbuRR42Y753o457o55+6vaWgRqZDaKpkrMzryypIt7Nh/2O84cck5NzryX5D9nHOXOue2+Z1J4l/PK+/lEEnseyd+rn6tn/MHGloJbYZP9juK7+retLIicWbyeemUO8cz8zTvl0i8aNnmFNZ0vYH+hxaSvegDv+PUmCsvp0PudNbX711n5/Y6mpovkZCruPqVyqtLt7A9X1e/ROJF/yumsJtWJH70H5SXlfkdp0bWfv4OqW47BX3G+R0lENR8icSBW89Px+F4Rvd+icSNRo2bsmnAnfQo/ZLMWU/5HadGihf/iXya0Pei8X5HCQQ1XyJxoEOLRlwVufq1TVe/ROJGxqWTWF+/N92yHgntxKs7NuXQr+Az1rcfRVKjxn7HCQQ1XyJxYvLwdAzjfz/60u8oIhIjlpBA4r88TAtXwLpXpvgd56Rseu9RHEbnS273O0pgqPkSiRMdWjRi3FmdmJG5lZydBX7HEZEYST/jHJamXEbGrhlsyF7qd5xq2Z+3h367ZrKq+fm0T033O05gqPkSiSO3Dk+nccNEfv/+Or+jiEgM9RzzEAetEYdm3o4rL/c7TtSy33mcZDtCywvv8DtKoKj5EokjLRs34Nbh6czL2cMXueG8P0REfqhFSnvW97qN04uzyHx3qt9xonKk6BDdN7xEVtIguvUd6necQFHzJRJnxp/dmQ4tGvHf762jrPyEa9iLSMhkjP4VOYk9SV9+H3t3bvE7TpVWznqCFPJJGKZFIY6l5kskziTVr8eUkaeRveMALy/e5HccEYmReomJJI1+lmRXxOYXb/E7TqUOHyyg27pnyW7Ql9OHXep3nMBR8yUShy7pewpnd2vNw3Ny+LbwiN9xRCRGOvUaxPIuExlY+Akr5kzzO84JrXrrEVLIh/N/gyWo1TiWzohIHDIz7r3sdA4Vl/HQBzl+xxGRGBo09j/JrdeN1IW/Zf+3u/yO8wMF+/PomftnspIy6D30Yr/jBJKaL5E41b1dU/5tWGdeXbaFpRvz/I4jIjFSv0FDbNRTNHcFfDUteItUr5lxPy0pIOmi3/odJbDUfInEsV9c0IOOLRtx14wsikrCvTaciHynW7+zWdbpp2Qc+Iils57xO84/bN+wngGbp5HZdDg9Bp7rd5zAUvMlEscaN0zkwdH9+GbvQR7/UDPfi8STwdc9UHFD+/LfsSV3td9xANj1+i8pJ4GOVz/qd5RAU/MlEueGpacwZnAaf1zwDcs37/M7jojESL3ERFqNe4ESS+TIK+MpOnzQ1zyrPn6NAYe+IKvbRNp17OZrlqBT8yVSB/x65Gmc0rwRt01fwf7DJX7HEZEYaZ+azoZhj5Be9jWrn7vBt9nvCw/so82C37A5oQMDr77HlwxhouZLpA5omlSfJ8cOYEd+EVPezMI5Tb4qEi/6XziWhak3cub+D1g8/QFfMmQ/P5l25bs5OOJxGjRM8iVDmKj5EqkjBqa15I4RPZm9eicvLvJm8tXXl23hQJGutInUtiHXP8iK5GFk5DxK1rwZnh57+Zy/Mjh/Nks6XEevISM8PXZYqfkSqUNu+qeunNezDfe+k13raz/OWbuTO2dkMe3zjbV6HBGBhHr16D7pJTYldiJ9/mTWL5vryXF3bsmly8Ip5NbrxqDxD3lyzHig5kukDklIMJ4YM4AuKY2Z9GImubsLa+U42/IPc9cbWfTp0IyJ5+rGWxEvNGnWkuY3vk1eQkvav3sdG9ctq9XjFR7Yx6H/G02iK6X+Vc/rvxurQc2XSB3TLKk+z19/Jg0SE7jhhaXs3F8U0/0XFJUw4YWllJU7nrhmAA0SVWZEvJLSPo2E62ZRQn2avno5X2d9USvHKSstJfe5MaSVbWbD8Kfp1LN/rRwnXqkqitRBqa2S+dP4M8k7WMzVUxeyLf9wTPZbWlbOz15ZwVe7C3n2XwfRtU2TmOxXRKJ3apfTODx2JiXUp82bo1m/5MOY7r+stJTMp8bR/9BCMnvfTb/zRsd0/3WBmi+ROqp/agv+MmEweYXFXP2HhWzcW7M5gsrKHVPeXM38nD3cN6oP53RPiVFSEamutB794YYP2G8t6PzeGJbOfDom+y0+UsTK/xnN4PzZLEz9KUOuvism+61ratR8mdmVZrbWzMrNLOMEY1LNbJ6ZrYuMva0mxxSR2BmY1pKXbhxC4ZFSLn3qM+auO7lFeotKyvj59BW8nrmV237UnbFD0mKcVESqq31ad5InfcjXDXtx5spfs/jJ8RQdOvn7PPfu3EzOYxczqHA+i9J/wVkTNIv9yarpla81wOXAp5WMKQV+5ZzrBQwFbjGz3jU8rojESL+OLXjn1nNIa5XMhGnLuP+9bAqqMT1E7u5CrnjuC2av3sGUH5/GLy/sUYtpRaQ6WrfrSM8757LwlOsY8u1M8h4eyMq506u9n5Vzp5Pw3DC6F61hyRn3MfTae2shbd1Ro+bLObfOOZdTxZgdzrnlke0CYB3QoSbHFZHYSm2VzBs3nx1ZhmgDwx/5hJcXb650Me69hUf4/fvrGfnEArbtO8wfx2Xok40iAZRYvwFnTXySNRe+SIk1oP+Ciax94BxWzJlGaUnxCf+dKy9n/eK/serBi+i/YCL76rVm15i/MfgnP/cwfXyyWMx0bWbzgTucc5V+rtXMOlNxlayPc+5AVfvNyMhwy5bV7kdlReT7Vm7J5753s8nctI9mSYmc17MtZ6S2oF2zhjgHW/cdZunGPD77ai/FZeVcPqADd//4NNo2q/nHzM0s0zl33FsYwkb1S4Ko+EgRy994mM5fTqM9e8ijGRsb96f41AwatEqDhERKDuyCXWvp8O0XdHQ72U9jsrtOYOBVU2iYlOz3txBo0dawKpsvM/sIaH+cl+5xzs2KjJlPFc2XmTUBPgHud869Wcm4m4CbANLS0gZt2uTNTNwi8h3nHAu/+ZY3Mrfx6Vd72FNw5Huvd2qdzAW92jF2SBrdYviJRjVfIt4oKy0l6+PplK2ZyakFqzjV7f7e6wddEl836ktR90voM+IGkps09ylpuMSs+YryYPOppPkys/rAu8Ac59xj0e5XxUskGPYWHuHbwmLqJUCbJkk0T65fK8dR8yXij7zd29i/ZyvlZWU0adWOlPadqJeY6Hes0Im2htX6mTUzA/4MrKtO4yUiwZHSpCEpTRr6HUNEakmrth1o1Va3Y3ulplNN/MTMtgJnAe+Z2ZzI86ea2ezIsGHAOOB8M1sZ+RpZo9QiIiIiIVWjK1/OubeAt47z/HZgZGT7M8BqchwRERGReKEZ7kVEREQ8pOZLRCQKZnaHmTkz07pJIlIjar5ERKpgZqnAhcBmv7OISPip+RIRqdrjwL8DNZ+bR0TqPDVfIiKVMLPLgG3OuVVRjL3JzJaZ2bI9e/Z4kE5EwkgzqIlInVfZSh7Ar4GLotmPc24qMBUqJlmNWUARiStqvkSkznPOXXC8582sL9AFWFUxXzQdgeVmNtg5t9PDiCISR9R8iYicgHNuNdD274/NbCOQ4Zzb61soEQm9mKztWFvMbA8Q7craKUAYC6Jyey+s2etC7k7OuTa1GaYmqtN8qX4FXlizK7f3Yl7DAt18VYeZLQvjgrzK7b2wZlfu+BXWcxTW3BDe7MrtvdrIrk87ioiIiHhIzZeIiIiIh+Kp+Zrqd4CTpNzeC2t25Y5fYT1HYc0N4c2u3N6Lefa4uedLREREJAzi6cqXiIiISOCp+RIRERHxUKiaLzO72MxyzCzXzO4+zusNzezVyOuLzayz9ymPL4rst5tZtpllmdlcM+vkR85jVZX7qHFXmJkzs0B8lDia3GZ2VeScrzWzl73OeCJR/K6kmdk8M1sR+X0Z6UfOYzI9b2a7zWzNCV43M3si8j1lmdlArzMGQVhrmOqX98Jaw8JYv8CHGuacC8UXUA/4GugKNABWAb2PGTMZeC6yfQ3wqt+5q5F9OJAc2b45CNmjyR0Z1xT4FFhExQSUgc8NdAdWAC0jj9v6nbsa2acCN0e2ewMbA5D7n4GBwJoTvD4SeB8wYCiw2O/MAf3ZBq6GqX4FM3sQa1hY61cki6c1LExXvgYDuc65b5xzxcB0YNQxY0YB0yLbM4AfWWRBNp9Vmd05N885dyjycBEVa8j5LZpzDnAf8BBQ5GW4SkST+0bgaefcPgDn3G6PM55INNkd0Cyy3RzY7mG+43LOfQrkVTJkFPAXV2ER0MLMTvEmXWCEtYapfnkvrDUslPULvK9hYWq+OgBbjnq8NfLcccc450qB/UBrT9JVLprsR5tARYfttypzm9kAINU5966XwaoQzfnuAfQws8/NbJGZXexZuspFk/13wLVmthWYDfzMm2g1Ut33QDwKaw1T/fJeWGtYvNYviHENC9PC2sf76+/YeTKiGeOHqHOZ2bVABnBurSaKTqW5zSwBeBy43qtAUYrmfCdScdn+PCr+Sl9gZn2cc/m1nK0q0WQfA7zgnHvUzM4C/hrJXl778U5aUN+bXgprDVP98l5Ya1i81i+I8XszTFe+tgKpRz3uyA8vV/5jjJklUnFJs7LLiF6JJjtmdgFwD3CZc+6IR9kqU1XupkAfYL5VLDg8FHg7ADetRvu7Mss5V+Kc2wDkUFHI/BZN9gnAawDOuYVAEhULvwZZVO+BOBfWGqb65b2w1rB4rV8Q6xrm901u1bgZLhH4BujCdzfynX7MmFv4/s2qr/mduxrZB1Bxo2J3v/NWJ/cx4+cTgBtWozzfFwPTItspVFxObh2S7O8D10e2e0UKgAUge2dOfLPqJXz/ZtUlfucN6M82cDVM9SuY2YNYw8JcvyJ5PKthvn+z1TwxI4EvI2/yeyLP/RcVf2lBRQf9OpALLAG6+p25Gtk/AnYBKyNfb/udOZrcx4wNUvGq6nwb8BiQDawGrvE7czWy9wY+jxS2lcBFAcj8CrADKKHiL8QJwCRg0lHn++nI97Q6KL8nAfzZBrKGqX4FL3tQa1gY61ckl6c1TMsLiYiIiHgoTPd8iYiIiISemi8RERERD6n5EhEREfGQmi8RERERD6n5EhEREfGQmi8RERERD6n5EhEREfHQ/wMJsGJPE5/QhQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z+sTzl6uHkRghfYsa069rBH+/Zjg/+W8GD76zkb9dMzxoGo8K0dkUFhZSXl6O0+mkurqasLCwJj2v/nEWiwWPxxO4X11dDXj/IB00aBDff/99ywYtRBsoq3bRS+VSqMOxhse36rVk2PE0rM8u5uJnvuOzzYf45YX9ePXHYyXxOokLBnbh/yb35f31B3nhu8yTP0EI0SrmzJnD448/zvXXX88DDzzQ6DERERGUlZUd9xzdu3dn69at1NTUUFJSwtdffw1Av379yM/PDyRfTqeTLVu2tPyLEKIVlNW46GnKJVN3I7qVt/yTytcp0Frz3x/28/hHW0mMcPDWbWcyqnuM0WG1G3dO7M223DKe/HQ7/bpGcl5fGaIVoi299tprWCwWZs6cidvt5qyzzmLx4sVMmjSpwXFDhw7FYrEwbNgwZs+eTUxMw59zqampXH311QwdOpQ+ffowYsQIAGw2GwsXLuSee+6hpKQEl8vFfffdx6BBg9rsNQpxusqrXfRSB1niHk50K7aZAFDBvPXJ6NGjdUZGhtFhAFBZ6+JX725i0fqDTOqfyF+vHtbq/zkdUWWti8ufW8Gh0mo+ueccukW3XhM70f4opdZorUcbHUdLaOzn17Zt2xgwYIBBEQU/+fcRRvrHxxncu/p85kfeQteLH2RCv1PfpaWpP8Nk2LEJ9uSXM/3Z5Xy44SC/mNKPF28cLYnXaQq1WXju+pE4XR7uemMtTrfn5E8SQgghWllIiXdKzLVTJ51W4nUqZNjxJD7bfIifv70Bm8XEazefwdl9WncSXmfQMyGcJ68Yyt1vruOpz3fw64vkL10hjLBp0yZuuOGGBo/Z7XZWrlxpUERCGCesfK/3k/g+rX4tSb6Ow+3R/OWLHTz3zR6GpUTx3KxRJMsQWYu5dFg3Vu4tYO7STM7rm8D43pLUCtHWhgwZwvr1640OQ4igEF25HzcmzDGtvyevDDs2orCilpteXsVz3+zhurFpLLjtTEm8WsFDFw2kZ0IYP397AyVVTqPDEaJNBPM8WyPJv4swWlx1FnnmJLC0/rQiSb6OsjGnmEv/uYxV+wr58xVD+ePlQ6QpaCsJsZn529XDOVxWw28/kOXoouNzOBwUFBRIonEUrTUFBQU4HNKyRxinizObw7bUNrmWDDvWs2B1Fo8s2kJCuJ2FPz2ToSnRRofU4Q1Ljeauib35x9e7mDywCxcNkW7YouNKSUkhJyeH/Px8o0MJOg6Hg5SUFKPDEJ2Vx0M390EyHWPb5HKSfAE1Lje//cC7KfbZveN55roRxIbJasa2ctek3izZcZiH3tvE6O4xJEbKX7+iY7JarfTo0frzSYQQp6gkGzu1lISlt8nlOv2w48HiKq7+z/e8ucq7KfarN4+VxKuNWc0m/nr1cCpq3Tz20VajwxFCCNHZFOwCoDK8bf446tTJ14rdR7jkn8vYk1/Bf2aN4pcX9sdskj0HjdA7MZw7J/Tm4425LN0pQzJCnI4tB0vYfKDE6DCEaHdch73JV010zza5XqdMvrTW/OfbPcx6aSVxYTYW3TWeCwd3NTqsTu+nE3rSIz6MRxdtptrpNjocIdqdh9/fzCOLNlNUUcuHGw4aHY4Q7cLmAyVkrFlJqQ7FHN66zVX9Ol3yVVbt5Pb/reXJT7czdXAS7985nl4J4UaHJQC7xczj0wazr6CSf3+zx+hwhAhq+45U8Kt3N1LjcuNye9Bas7+gktziat7KyObuN9exv6AicHxptZPKWleDc6zNKsLtkZWXonO7/631uA7vJFMnER7SNtOOOlXytftwGdOfXc6X2/J46KIB/GvmCMLssuYgmJzdJ57LhnXj39/sYe+RipM/QYhO6r11B3hzVTYr9hQw+omveGNVFoUVtRwuq2ZfQSUAG3PqhiBnv7yKX7y9MXB/Z14Zlz+3gs82H2rz2IUIJvHhdnqactmjkwhvo5yg0yRfn27KZdq/llNc6eR/t5zBT87tiVIyvysYPXzJAOwWE4+8v1n6IYlOz+PRvJ2RTWWti4PFVRworgJgQ04xAK//sJ/iSidvrc72Hq+9/QoBNvnmfx0urWZtVjHrs4sD5/XPDcvML2+z1yJEMIq1OummCtnj6Uako22Srw5f9nG6PTz1+Q7mLs1kRFo0z10/kqQo6VYfzBIjHPx8Sj9+88EWPtyYy2XDuhkdkhCtyuPRvLx8L9OGJ5MQYeftjGwy9hXxm8sGsjKzkF8s3EheaTULv9+OrfwA1w8w0zNrF4PNhYTsqmGcxYn9kJPpFjMVOKg8HMIwcxie3Xv5bmUZu2u8PQsPFFdRUeMizG5hx6EyALKLKo186UIYLrTMu6djpu7GJEvb1KQ6dPKVW1LF3W+sI2N/ETeM6+6rqEi3+vZg1rjuLFyTw+MfbWVivwQiHFajQxKdnFLqZeAS4LDWenBLnntDTjG//3gbmw6U8I9rR/DSsr3sP5RPaM63nGHZw3+smxn47X7uUofBDmT6nmgFpzZTg5UarFhxE0YVZuWrGBcCn8KZ2sQZtlQyPH1Z//F+1up+bCuJACCnqKpBLFsPlvLPxbv42zXDZXcP0SlEVe4DIFMn0SM+rE2u2WGTr6U787lvwXpqnG6euW6EVE/aGbNJ8fj0wUx/djnPLtnDg1P7Gx2SEPOAfwGvtfSJ1+wvAjSZG5aRZVnIE4WfM8yRiaXYjVsr9puS2OjpyUfW85k5dQK3LTpEtiuGQf368OWOIiIcFsqqXVjNCqfbgx0nI+PduAv2MTaqhJDyfYwPzWZGzTIiNn7JeGCzJ52h5jGsLziHW+aZ6Z0YzoNT+3PRM98BcOs5pbz2/T5uPDOdUd1jWvolCxE0Eqqz8KD44nezwWpvk2t2uOTL7dH846ud/HPJbvomRvDcrJGymrGdGp4azRUjU3h52V6uHZNKehv9RSJEY7TWS5VS6S1+4vyd9Fn9OKscy0ikEPdmxRF6kT9kDgvyu/PCvgR+PWMMj3+0lVvO6EH0mP6k79/I1k25TBuVzpc7irhiZArzVuyjX9cIdh4qp8atuGj8IHbk9eOm8/uyv6CClPgwxvzxK9I9WZxt2sSF5tX83Po2VL/NhsyevJt1EV90+0kgrFV7C1m0/iCRDqskX6LD0lqT7MqmJDSZGGvb7a7SIsmXUupC4B+AGXhRa/3kUV+34/1rcRRQAFyjtd7XEteuL7+shnvnr2PFngKuGpXC76YNJsQmZfP27IEL+/HZ5lye+GQbL9w42uhwhDghpdQcYA5AWlpak56jKwsYW/o5O8PHsi3tAu5b24UaWwwbpv+ImZW16B+yuGpUKhP6JZIQ7v2r/LeXDeLOib1JiLAz59yezDm3J6+v3E/3uDCKK53kFFUxsFskN5yZDkBChPd56QkRbD+UhilxMC/mXsw1/SyE7P6I681f85jnXxS9/xqPhEzmmaoprNhzBIDNB49t2lpV6+b6F3/goYsHMKp7bHP/2YQwTFmNi57qAKXhPWnLPzGaPbNMKWUGngWmAgOB65RSA4867BagSGvdG/gb8KfmXvdoP2QWcNEz37E2q4g/XzmUp64aJolXB5AY6eDOSb35cmsey3cfMTocIU5Iaz1Xaz1aaz06ISGhSc/JCRvM8Orn2Tj+X4y7/G7CY7swvnc8VrOJxAgHP5vcF5vFRHJ0CDbfZOAQm5m0uFBCbGZ+fdEA4sPt/GrqAG4Y152uvr1Ru0Ufu7BoYLdI4sPtPHv9SC4emsTEMcOY576Qqa6nuL7216x29+Fm/S7LHPcyav+LhFLNttxSXG5Pg/PsOlzG2qxiMvYVNfNfTAhjFZdV0VPlUhXVq02v2xLT+scCu7XWmVrrWmA+MO2oY6YBr/o+Xwicr1qwz8N/vt3DzBd+IMJu4f07x3P16NSWOrUIArec3YPk6BD++Ok2PNIQUnQw2/IqqMHGqO6x2C1m3r9jPH+5etgpn+fms3swrmccXaMcWEyKxIhjh1Aevngg795+Fj3iw3h25kgGJHkn3Q9NiaY8+WzuNz1A1S1L2WQdxn2mt1hqv49pnq/Zc7iswXn8PfiKKp2n8YqFCB4VeXuwKxeuuH5tet2WSL6Sgex693N8jzV6jNbaBZQAcY2dTCk1RymVoZTKyM9v2h5/Hq25aEgSH9x9Nv27Rp5q/CLI2S1m/u9Hfdl8oJSPN+UaHY4QLepHg7qy/tHJ9OvqTYTiwu1ENmN174WDu3Lt2NRG96mNDbORFhcauJ8UFUKozczZveN5Yvpg5t4witDUobyS+gTTa37HPrrxJ+sLxL49gx2bVvPid5loreuSr4raBuevqnXz0rK90jVftBuuvO0AmBP7tul1W2LOV2MVrKO/85pyjPdBrecCcwFGjx7dpO/g28/zlgulaWrHNW14MnOXZvL0FzuYMqhrYPhFiLailHoTmADEK6VygN9orV9qiXNHh7bcliaXDO3GJUObtrrbZjHx8T3nkBTlaNBWIjk6hC91b55L/yfd9r7Dr0teJ/qdC/nEOY3nnQ+w94i3N1hRZcPka/H2wzz+0VZGpEUzMk0m6YvgZzqyAwB71wFte90WOEcOUH+cLwU4ekfXwDFKKQsQhbcDTYtQSkni1cGZTYoHpvZnf0El81dnGR2O6IS01tdprZO01latdUpLJV5G6xEfdkw/r5QY73yxHgnhVA+ZycTqp/jYPZafWd9h1Dez2LfH+wurqLKW/LIaCn0VsCPlNQCUyHCkaCfsxbs4pGOIiml0MK7VtETytRroo5TqoZSyAdcCHxx1zAfATb7PrwQWa9k3RpyiCX0TGNczlme+3kV5jevkTxBCnJaUGO/QZPe4UO6a2JsjOopfeO4ma+I/6a+yebX2fn5kWk1RpZO73ljLj19Zhda6LvmqkuRLtA/hZZns8iQTFdK2jbybnXz55nDdBXwObAPe0lpvUUr9Til1me+wl4A4pdRu4H7gweZeV3Q+SikenDqAI+W1vLA08+RPEEKclkHdIrFZTAxPjSY9Poy7J/XmtnN7kXbejTzc5VmydCJzbX9jVtnLZB4uZUNOCWuziiT5Eu2L1sRU7iXLnILF3LZTWVqkz5fW+hPgk6Mee7Te59XAVS1xLdG5DU+NZurgrry0bC+zz0onJqzl5soIIbxSY0PZ/rsLMfkm7d93Qd1k5PFjxnLlO7/lH1HzmV3zPl1rD/AzbueV5fuodnpbUkjyJdqF0gPYPVUctqe3+aVl1rJod+67oC8VtS5eXCbVLyFai6mR1ZIAM0Ym8+drxpB91u95zHkDk00ZvON4nG07dwQqX6WSfIl2wO1b6ehIOro1aeuT5Eu0O/26RnDRkCTmLd93zFJ3IUTrsppNTB+RTHyEg1fcU7nV+XN6qkP8V/8aV/5OQCpfon3I2bUBgD6DRrX5tSX5Eu3Svef3odLp5oXvpPolhBFifO0xlnhG8OW4edhw8Yr+Df1UFiVVTg4UV1HjchscpRDHV7h/I0U6nLGD27bHF0jyJdqpvl0iuHhIEq+u2BdY5i6EaDv++ZZmk6LvsPFcU/sIbkzMt/2emJLNXPj3pfz1y50GRynE8VkLd5FnTyMypO3nDkvyJdotqX4JYZyYUO/S/K6RDnrEh7GXZK6qfZRyHcIjBQ/Su2YbH64/iHQVEsHI6fbQzZlFVVQfQ64vyZdot/p0ieCSod14dcU+CnwTfYUQbcNf+fJv+J0cE0K27sJt1t9zxBPJPNufiCzdyfrsYoMjFeJY2dlZxKoyzIltu6ejnyRfol279/zeVDndzFuxz+hQhOhUIuwWLCZFsq8bfnpcGADhid2Z5fw1lTj4r+2PfPfDSiPDFKJRuXu8k+2j0gYbcn1JvkS71jsxgikDu/Lqin2UVcsKKyHailKKWeO6c/GQJKAu+eqVEE6OTuAG569wWOCKLXeyaesWI0MV4hiVB7YC0KXXcEOuL8mXaPd+OqEXpdUu3lwlez4K0ZZ+e9kgLhjYBYDxvePolRBGrwRvElYe3gtmvUuUqiRy4dV4KouMDFWIBtSRHVThwBGXZsj1JfkS7d7w1GjO6hXHi9/tlaXtQhjkwsFJfP1/E4gPtwOQGhtCRI/RrB//HEnuXIpfnQluqU6L4BBVnslhexqoxpsJtzZJvkSHcPuEXhwuq+Gegdb1AAAgAElEQVS9tQeMDkWITs2/QbF/c+4zJk3jT5bbic1bwaYX5vDllkO4PbICUhinxuUm2Z1NZWQvw2KQ5Et0CGf3jmdIchTPL82UH+xCGCgyxLtlcIpvIr7VbCJ98hyec09nyKF3+eGN3/HZ5kNGhig6uUOH8+mmCnHFGbPSEST5Eh2EUorbJ/Ri75EKPt8iP9iFMIp/2LG7bwI+wA3junPHY6/g6n8ZD1ne4Mi6DzhSXkNFjcuoMEUnVrxvIwDWroMMi0GSL9FhTBnUlR7xYTz3zW5p7CiEQbrHhfHK7DFcOiyp4RdMJixXzCXb3ovL9z7GT/7xNo99KKsgRdurObgZgMjuQwyLQZIv0WGYTYrbzu3J5gOlLNt9xOhwhOi0JvZPxG4xH/sFawgrRv0Nt4bf1/yZNXsOtn1wotMzH9lBpbaTmGpMd3uQ5Et0MDNGJpMYYeff3+wxOhQhRCMGDRrKfc47GKCy+GnZcxwurTI6JNHJRJTuYp8pFYvFYlgMknyJDsVuMXPL2T1YsaeALQdLjA5HCHGUQd2icAyYSkb3W7nKspTD38w96XP25Jdz1h+/Jq+0ug0iFB1dQnUmhx09DI1Bki/R4Vw7Jo1Qm5lXlu8zOhQhxFHMJsV/bhjFsFl/YKlnGP3WPQF5W0/4nF15ZRwsqWbfkYo2ilJ0WJWFxHiKKI00bsgRJPkSHVBUqJUrR6XwwfqDHC6Tv5SFCEZ2m43XuvyKEo+DI6/OAmcV5cdZ/Vjl9DZPrnZ52jJE0QE5c72LPIxsMwGSfIkOavZZ6dS6Pbz+g2w5JESweuiac5mX+ADxlXvY9fr9DHvsC9ZnFwe+/tnmXJ78dDtVtd6kq9rp5sp/r+CdNTlGhSzauaJ93g21bUnGtZkASb5EB9UzIZxJ/RN5feV+qp2y5ZAQwahHfBizZt3CS66p9Nn3Bueylu925ge+/uGGXOavzqqrfDndZOwvYmtuKU63R763xSkr3LeRUh3CkAEDDI1Dki/RYd08vgdHymv5cIMsZxciWHWNcrAs/U62errztPU/7N5bt1I5r7Saylp3IMkqrfLuDVnjcvPkp9u58eVVhsQs2i+Vv4395u50jw83NA5JvkSHNb53HP26RPDy8n3SdFWIIHbD2X15wvF/RJqqmZbzFEfKqqlxuTlcVkOty0NZtXcuWFGlL/lyesgpquRAkbSpEE3ndLlJrNpLVbSxk+1Bki/RgSmluPnsdLbllvJDZqHR4QghjmNS/y68/uub2DbgXiaRweN/fIy/fLEz0FqisKIGgKLKWgBq3R6qnR5q3TIBXzTd1l27iVFlhKUa19neT5Iv0aFNG55MbJiNl5fvNToUIcRJRE28lzWePjxmfZVVm7ZQ41vdWFDuTbpK6lW+alxuamX1ozgFRzK9k+0Te40wOJJmJl9KqVil1JdKqV2+25hGjhmulPpeKbVFKbVRKXVNc64pxKlwWM1cf0YaX23LY3+B9AgSIph1T4jENP3fhJqc3FnxHOCdLlBQ4U2+/JWvGpebGpc3AROiqTy+fnJx6cMMjqT5la8Hga+11n2Ar333j1YJ3Ki1HgRcCPxdKRXdzOsK0WQ3jOuOxaSYt2Kf0aEIIU5ixMgxrOh+O5NNa5huWg5AoS/5Kg5MuPcNO0rlS5wCe9FOilUkpohEo0NpdvI1DXjV9/mrwPSjD9Ba79Ra7/J9fhA4DCQ087pCNFlipIOpg5NYuCaHytrGmzgKIYJH4ZBbyPD05VHra8RQSkG5d85XYNjRV/XyaHDJvC/RRHGVe8iz9wCljA6l2clXF611LoDv9oTppFJqLGADjrvrsVJqjlIqQymVkZ+ff7zDhDglN57ZnbJqF++vk7YT4vQopS5USu1QSu1WSjVW5RctJD0hkgedtxJOFQ9Z36Ci1ju82GDY0elNutZlF3POnxdT5KuOCdEYt9tDmms/5QZvK+R30uRLKfWVUmpzIx/TTuVCSqkk4L/Aj7XWx/1TRWs9V2s9Wms9OiFBCmSiZYzqHsOApEhe+17aTohTp5QyA88CU4GBwHVKqYHGRtVx9YwPY7dO4Xn3pVxpXsqZJu+WMCVVDSfcA2zKKSG7sIoDxdJ2QhxfXs4eIlQVOqG/0aEATUi+tNYXaK0HN/KxCMjzJVX+5OpwY+dQSkUCHwMPa61/aMkXIERTKKW48czubD9URsb+IqPDEe3PWGC31jpTa10LzMc77UK0guhQG9GhVubqy9nn6cITlpewU4vH93dTjcsTqHz5E7Iq6XYvTqBgr3elY0jKYIMj8WrusOMHwE2+z28CFh19gFLKBrwHvKa1fruZ1xPitE0b3o0Ih4XXvt9vdCii/UkGsuvdz/E9JlpJvy4RpHWJ5SHXzfQ0HeIOyweBr/lXOwKUVvuSr1pJvsTx1R7cDEBCz+EGR+LV3OTrSWCyUmoXMNl3H6XUaKXUi75jrgbOBWYrpdb7PoLj1YtOJdRm4apRqXy2OZfDZdVGhyPal8Zm6B4zfi1zVlvOM9eN4NmZI1nuGcK77rO53byIXuoA4E20/A1W/d3vpfIlTsRyZCuHdCwJiV2NDgVoZvKltS7QWp+vte7juy30PZ6htb7V9/n/tNZWrfXweh/rWyJ4IU7VrHFpON2a+auyT36wEHVygNR691OAY1ZvyJzVltMl0kFabCgATzivpxo7v7G8BmjKa+pWLfuHHWWTbXEiMWW7yLL2RAXBSkeQDveik+mZEM45feJ5Y2WWLFEXp2I10Ecp1cM3leJavNMuRCsymRQhVjMFRPE31xWca97Ej0wZgblfULfZtiRf4rhctSQ5syiK6Gt0JAGSfIlOZ9a47hwqrWbJDhkWEk2jtXYBdwGfA9uAt7TWW4yNqnMItZkB+K97Mjs8KTxi+R926tpKlPqHHWXOlzgO5+EdWHFRGx8cKx1Bki/RCU3qn0hChJ35q7KMDkW0I1rrT7TWfbXWvbTWTxgdT2cR4ku+XFj4resmUk353Gb+KPD10sBqRw9r9hcGhiGF8CvKXAuArdtQgyOpI8mX6HSsZhNXjUphyY7D5JZIbyAhglmYzQKAw2rie88gPnKfwR2WRSTjrVz7VzuWVDm5du4PvLGy7o+q1fsKOftPi6mokZ0tOrOqnI3UaAvx6YOMDiVAki/RKV0zJhWPhrczcowORQhxAv7KV3SIDYA/OK/Hg4lfW18H6lY75pfV4HTrBpWv7YfKyCmq4ohveyLROZnzt7JLp5CeEGV0KAGSfIlOqXtcGON7x7FgdTYej3S8FyJYhdl9yVeoFYCDxPO86xIuNq9ipNoZOM6fYFXVuvhkUy5vrsqixjcJXzbg7tyiSnawx9Sd2DCb0aEESPIlOq1rx6RxoLiKZbuPGB2KEOI4QqzeYceY0LpfnHPdF5Ono3nY+j/87dbyy7zJV2WtmzdXZfHqin2BRqy1srK58yrPJ8JVQHFE36BpMwGSfIlO7EeDuhATamX+apl4L0Sw8le+6lctqnDwtOtqRpp2c7FpJQD5/sqX001FjYtqpzvQfqLW5aHa6ZZ9XTsh1yFvZ3tz0hCDI2lIki/RadktZq4YmcKXW/NkTogQQcrfasI/7Bhh91bC3nGfyzZPGg9Y3sSGk8IKb/uJqlo3lbVuqp2eQPJVVu1i7BNf8fGmXANegTDSkd3elY5xvUYaHElDknyJTu3asak43Zp31sjEeyGCUahvtaM/+Yry3Xow8YTretJM+dxo/gK3b+5mpS/5qnJ6EzCAgooaSqtdZBfK6ubOpip7PYd1NP179TQ6lAYk+RKdWu/ECMakx7BgdbYMSQgRhPyVL/+cL38SBrDMM4Rv3MO42/Ie0ZQB3mHHylrvsGONy1v5Kq+Rifedla1wO7tUd9LjQo0OpQFJvkSnd+2YNDKPVLByb6HRoQghjhJoNeFPvkIarlj7g2sm4VRxt+V9wDvsWFHjpsblocpX+Sr3taOoddd1wd9xqIxfvbtJVjt3YC5nLQlVmRRH9AmqyfYgyZcQXDQkiQiHRTreCxGEfjSwC7ed15OukQ4AokLqKl9mk2KnTmWBewI3mL+guzpEeY2LKt9cL3/Pr/Ia722Ns67y9d2ufN5clUVRZd1WRaJj+XbFCmy4SBsw1uhQjiHJl+j0Qmxmpg9P5pPNhyiWH8RCBJXeiRH8auoAQmzeX1dR9YYdIxze+WB/c12JCwv3WxYGJt4DlPi+n8sClS8Pq/YWsmpvYaD9RHGVk5GPf8kKaTnT4WSsWgbAoBFnGRzJsST5EgLvxPtal4f31h0wOhQhRCPsFn+ne2/yZTUrHL7H8onhFfcUpplXkO7KDDwnUPnyJV81Tg9Pf7GDp7/YgdPlHW7MK62msKKWvQUVbfZaROurdXmIKNmBW5kxJfQzOpxjSPIlBDCoWxRDU6KYv0om3gsRjBxW768r/4R7u8WM3feY2aR43nUJpTqU+y1vB55TVOlNvspq6ipf1U43NU53YP6Xvx2Fyy3f9x1JbkkV/VUWZeE9wRI8ne39JPkSwufaMWnsyCtjfXax0aEIIY6SEO4gzGamb5cIAOwWEzazLyELsVJKOP9xXcJk89rAtkP+TbcDE+59zVZr3Rqnu641BYBTuuB3KAeKqhhgysIZN9DoUBolyZcQPpcN70aozcz8VdlGhyKEOEpUqJVNv53CeX0TUAocVjM2S8N5YPPcF5KvI/mF5S1A4y9il/sqXzUu7yrIWpc70HaiKpB8SeWrI8nPO0CSKsScPMzoUBolyZcQPuF2C5cO7caHGw8GflgLIYKHyaRQSmG3mLyVL1/y5e8BVomDZ13TOdO8lbNNmwPPq0u+vJUvp1sHKl1VgWFHqXx1JK4DGwCISB9lcCSNk+RLiHquHpNCZa2bT2UbEiGClt3irXrZA8mXt/IVYjXzhvt8cnQ8v7AswL/pdlm9YUdv5ctzbOVL+n11KI4jmwCwpkjlS4igNzIthh7xYSyU7YaECFp2i8k37NiwAWtipJ1arPzDdTnDTJlMMWUA9fp8BSpfHql8dXCxpdvJM3WBkBijQ2mUJF9C1KOU4oqRyazcW0h2YaXR4QghGmG3mo6ZcA+QGGEH4F33OezxJPF/lrcw4Qns8ehNvrxVL/8cL3/lyyWVrw4lpWYXuaHB12LCT5IvIY4yY2QKSsE7a6X6JUQw8raZMAeGHf3tJxJ8yZcbM39zXUlf0wEuMq0MPM9fAat1ewJNVv2rHWXfx47DXVVCqs6lNHqA0aEclyRfQhwlOTqE8b3ieWdtjuz7JkQQSo8Lo0dcaL3kyzfsGOEIHPOx5wx2epK5x/IuJryJVf1O94E5X/5hR48kXx1F3q41AOiuQw2O5Pgk+RKiEVeMSia7sIrV+2SzbSGCzYs3jeaxaYMDqx3jwrzJl7/yZTOb0Jh4xnV5g+pXqa/jvdZ1w41V0mS1w8nb/gMAqQPHGRzJ8TU7+VJKxSqlvlRK7fLdHnd2m1IqUil1QCn1r+ZeV4jWNGVQV8LtFpl4L0QQ8ydfw9OieeSSgVwyNAnw9v1SCj6pV/1SeKhfyK6o9VbB6vf5yswvJ6dI5nq2d66DGzhCFD169DI6lONqicrXg8DXWus+wNe++8fzOPBtC1xTiFYVarNw0ZCufLIpl8pa6fklRDDyDzuGWM3ccnYP4sK9la9wuwWHxYynQfVrVYPnVtQ0TL5cHg+/XLiRxz/a2oavQLSG2JJt5Ib0QylldCjH1RLJ1zTgVd/nrwLTGztIKTUK6AJ80QLXFKLVXTkqlYpaN59tPmR0KEKIRvgrX/5Nt0Os3ttQmzmwF6S/+nWv5R0UdfO6ymu8SVels257obJqlzRYbufyCovp7snG3WWI0aGcUEskX1201rkAvtvEow9QSpmAvwC/ONnJlFJzlFIZSqmM/Pz8FghPiNMzJj2GtNhQGXoUIkh1jwuja6QjUAEzm7zd78NslkAidrzql7/yVV1v2LHW7cHpkrlf7dn+rauxKA8RPYKzs71fk5IvpdRXSqnNjXxMa+J17gA+0VqfdNM8rfVcrfVorfXohISEJp5eiJbn7fmVwveZBTIPRIggdNWoFFY8OAmTqW54KcRmJtRuxuFLvhxWE594zmBXvblfUDfRvtLpTcJcvhWQtW4PLreHgvKaNn41oiXU5KwHIKHPGIMjObEmJV9a6wu01oMb+VgE5CmlkgB8t4cbOcWZwF1KqX3A08CNSqknW+g1CNFqLh+ZjNbw3toDRocihDiKUqpB4gUQajUTZrNg9yVfEQ6rr/o1g36mnGPmflXVepMxl8dX+XJ7WJCRzcSnv5Gu9+2QLX8zZYQSmdTH6FBOqCWGHT8AbvJ9fhOw6OgDtNbXa63TtNbpwM+B17TWJ5qYL0RQSI0NZVzPWN5Zm4PWMhwhRLCbeUYaFw1JIsQ35yvCYQHgY884dnu6cZflffx7PgJU15vz5e187yGvpJrSahc10ni13Ykr3cY+a28I4sn20DLJ15PAZKXULmCy7z5KqdFKqRdb4PxCGOrKUansK6hkzf4io0MRQpzEXZP6cPHQpMCwY4TD2/3eg4nnXJcxwJTFJNO6wPH+1cwutw5suF3r6/nllMpX++J2keLcS0FEf6MjOalmJ19a6wKt9fla6z6+20Lf4xla61sbOX6e1vqu5l5XiLYydXBXQm1mmXgvRDviT74ifZUvgA88Z5HtSWhQ/fL3/vJvtu30JWHg7YSfmV8uVe92oip3Gw5qcSYG90pHkA73QpxUmN3C1MFJfLQxN9ATSHQeSqmrlFJblFIepdRoo+MRTRMSSL6sgcdcWHjefQkjTbs509Swn1eNyxOY91Xr9n6fZxVUcv5fv+XbnbLyvj0o3J0BgD11uMGRnJwkX0I0wRWjkimvcfHFVun51QltBi4HlhodiGg6+1FzvsLt3tu33edxWEdzh7nh9OSqo+Z+AeSV1qA1FFbUtlXYohlqszOo0HYS0qXyJUSHMK5HHMnRITL02AlprbdprXcYHYc4NXVzviwNbmuw8YLrIs4xb2aY2h04vtLf78tVl3z5tyCSuV/tgz1vPVt0D3okRhodyklJ8iVEE5hMiitGJrNs9xFyS6qMDkcIcRIhVjM2s+mYJAzgDff5FOsw7rTUVb8qfU1Xa33zvqCuEWutbLod/NxOEsp3kBXSP/B/Hswk+RKiiWaMTEFrWLT+oNGhiBbWAo2k/eeRHTqCxLVjUvn9jMFYzd5fc/5hR4AKQnjFdSE/Mq+hr/L2/q7bZkhT4/J+7k++nNJyIujpvM1YcVKVMMzoUJpEki8hmqhHfBgj0qJ5b+0BWf3UwZykkfSpnEd26AgSfbpEcPXo1MD+jxH1Jt4DzHNPoVw7uMNX/ar/LV3h2/fRv/+jDDsGv9I93ua5oeljDY6kaST5EuIUXD4imR15ZWzNLTU6FCFEE/grX0dPvC8hnP+5L+BS0/ekqbwGz/HP9QoMO0rlK+iVZa6iUIeT3nug0aE0iSRfQpyCS4Z2w2pWst1QJ6KUmqGUysG7TdrHSqnPjY5JNN3Rla/6fb9eck3FhYWfmj9o8JxyX9IlE+7bD+uh9WzUvRjYLcroUJpEki8hTkFMmI0J/RJZtOGg7PvWSWit39Nap2it7VrrLlrrKUbHJJrO7qt8RQZWPdYNP+YTwwL3BK40L6UrBYHHK2sazvmqdWv+8sUO3s7IbquwxSnIPnSEuMpMKuOHEmIL/sn2IMmXEKfs8hHJ5JfVsHxPwckPFkIYymrx7vHnH24Mszf85TzXfQkmNDdbPgs85k+6KurN+fpgw0EWbz/cFiGLU/T+p59gUR7GnT3Z6FCaTJIvIU7RpAGJRDosvLdWen4JEexs5oatJkJs3hYUfjk6gQ89ZzLT/DWRVABQXnvssGON0yNzv4KUI38DALF9xhkcSdNJ8iXEKbJbzFw8tBufb8kL/IUshAhO/jlf4b7hRrvFHHjMb67rEsJVNdebvwbqVj4GWk24Pb5thyT5CkZpVdsptiRARBejQ2kySb6EOA1XjEymyunms82y3ZAQwcxq9g47OqwmX9NVU4PHALbp7nzrHsqPLZ9hp24rIf+wY61LU+N0S+UrCLk9mn7uXRyOHGx0KKdEki8hTsOo7jGkxYby3jpZ9ShEMPNXuWxmEzaLqUHlK9RWt/LxP+5LSVTFTDcvDzxWf9jRX/kqr3GRmV/ehq9AnEjhkUOkm/Iojwv+/Rzrk+RLiNOglGL6iGSW75HthoQIZtEhNu9tqI1Qm5kwuznQ+yu03sq47z0D2ejpwRzzRyi8Fa7yam/yVe1043Rral0e5i3fy/RnlyOCQ8XeDABcXUcYHMmpkeRLiNM0Y0SybDckRJAb2C2S9+8cz5j0GP553QhuO7dXvcpX/ZWPirmuS+hlymWyaQ0ALo9vj8d6FbDCCiel1S48HtnlIhh4crz/V7bUkQZHcmok+RLiNMl2Q0K0D8NTo1FKcUbPOFJjQwOrHUN8w47KOwWMTz1jyfIk8FPLh0Dd97S/Albr8gT2fZTJ98bzeDS2w+vZ40kiLj7R6HBOiSRfQjSDbDckRPsTqHxZvZWvEN+tGzMvuC9mpGk3o9WOwPHl9bYZ8k+6r3FK8mWkWpeHM/7wFY7D69mge5EYaTc6pFMiyZcQzSDbDQnR/vgrX/6Gq/7kC+Bt93kU6nBus3wUeCyQfLk91PiTL7e7rcIVjThSXoO94gDxuojtlv7YLe2js72fJF9CNINsNyRE+1M34d477Oiol3xVY+dV1xQmm9fSW3kbKde1nKgbdpTKl7EKymsZqXYBkBXWvtpMgCRfQjSbbDckRPty9IT70KP2A3zNPZkqbWOO+WOgYeXLP+woc76MdaSihpGmnZRrB5VR/YwO55RJ8iVEM8l2Q0K0L/7ky78J89GbMRcRyQL3BKabl9GFwsDj3sqXzPkKBoXltYwy7WSj7k232HCjwzllknwJ0Uyy3ZAQ7YvNbMJsUnVJmG/Y0b/qEeBF90WY8fDjehtuezRU1HqHHctrXDzx8VZKq51tF7gIKCkpYoDKotfIifxiilS+hOiULpfthoRoN2wW71ZDVlPD4cfweh3vc3QiH3vGcb35ayKoDDxe7ku2MvYX8sJ3e/lBphsYwn54AxblIXHgucSFt6+VjiDJlxAtYnT3GFJjQ3h/vax6FCLYWc3K99Fw+DHU3nD48XnXJUSoKmb6NtyGuvlfJVXeJKxG9ns0REzBegBU6hiDIzk9zUq+lFKxSqkvlVK7fLcxxzkuTSn1hVJqm1Jqq1IqvTnXFSLYKKWYMTyZ5buPkFdabXQ4QogTSIsNJTU2FEtgg23/xHtLg6HHLboH37kHc7PlU2x4k60yX8PVUkm+DNWtfCNZ5jQIaTTtCHrNrXw9CHytte4DfO2735jXgKe01gOAscDhZl5XiKAzY2QKHg2LpPolRFC7Y0JvFt05Hqsv+fLP+bKZTYFqmMmXhD3vvpQuqpjp5mUAVPrmfPkrX9VO6ffV5jweelZvZW/IIKMjOW3NTb6mAa/6Pn8VmH70AUqpgYBFa/0lgNa6XGtdefRxQrR3PeLDGJ4azbvScFWIoGYyKSxmE5aj5nxZLaquAatv/tcyz2C2eLozx/xxYMNtkGFHQxXsJlKXkRs5zOhITltzk68uWutcAN9tY5sr9QWKlVLvKqXWKaWeUkodtxWtUmqOUipDKZWRn5/fzPCEaFszRiSz/VAZ22S7ISGCXqDy5Uu0vJUv72Nhdv/ke8Vc18X0Nh1kkmld4Ll1yZdUvtqazv4BgJK44QZHcvpOmnwppb5SSm1u5GNaE69hAc4Bfg6MAXoCs493sNZ6rtZ6tNZ6dEJCQhMvIURwuHRYNywmxXvrpPolRLCzmBu2mrBZTIH2E2H1Jt9/7BlHjo5njuXjwGN1w45S+Wprrv2rKNLhqPjeRody2k6afGmtL9BaD27kYxGQp5RKAvDdNjaXKwdYp7XO1Fq7gPeBkS35IoQIFrFhNib0S2DR+gO4PdrocIQQJ1C3zZA5cN//WLi9ru2ECwsvu6Zyhmk7I3xb2pRU1lW+nl2ymyXbZSpzW9HZK1nr6UNseIjRoZy25g47fgDc5Pv8JmBRI8esBmKUUv4y1iRgazOvK0TQmjEihbzSGlbsOWJ0KEKIEzh6wr3d1/8L6oYd/YnZfPdESnQoc3wbbpf5Wk7UOD28tGwvH2442Kaxd0YrMwv4zYJl2Ap3ssbTh54JYUaHdNqam3w9CUxWSu0CJvvuo5QarZR6EUBr7cY75Pi1UmoToIAXmnldIYLW+QMSiXBYeE8m3gsR1PwT7h2NVL78yZf/thIH/3NfwBRTBukqF+0rbNe43FTVugOrIEXrWbgmh/0bvgXA3P0MRqa1zzYT0MzkS2tdoLU+X2vdx3db6Hs8Q2t9a73jvtRaD9VaD9Faz9Za1zY3cCGClcNq5uIhSXy25RCVtbLdkBDByt/nK7TenC+rxfuYf9ix/vDjPNeFODFzq/mTwGNVtW6qnG4q5Hu91WlgrGk7TizMnHFMc4V2RTrcC9EKZoxIprLWzRdb8owORQhxHP5hR//Qoq1B5cvc4GsA+UTzrvscrjQvJY4SoG7ifZVUvlpdSZWTCfadWFNHkZQQb3Q4zSLJlxCtYEx6LMnRIbwrqx6FCFpdIh0oBV2ivLdW35wvk6qbBxZWr/IF3g23HcrJjZYvASjyTbyXYcfWV11RRl/3Lug+3uhQmk2SLyFagcmkmD6iG8t25XNYthsSIigN6hbFmocn0yshHKvJm3j5200cverR4mt5v0cn86V7FDeavyCEaoorvbNoqqTTfatLKd+IBTekS/IlhDiOGSO82w19IKughAhasWE2AIalRjEgKQKr2dRg+NE/7BjhqKuAPe+6mBhVzlXmbwOVr4oamfPV2vpWb8SNGVLPMDqUZpPkS4hW0jsxnKEpUbLdkBDtwNs/PYtrxqRhNStsFnOg2WmJZegAACAASURBVGpg4n295CtD92ONpw+3mj+hvMpb2ZY5X61viGszuWH9wR5hdCjNJsmXEK1oxohktuaWsuNQmdGhCCGawFv5UsdsMxRut9Y7SjHXdQlppnwuNK0GoNLpRmtprNxaaqvKGcou8mJGGR1Ki5DkS4hWdOmwbphNinfX5RgdihCiCcb3jueCgV2O6fcVUW/ifYjVzJeeUWR6unKb5UNA4/Zo2WS7FVVm/oBNuSlOHGt0KC1Cki8hWlF8uJ3z+iawaN1B2W6onVJKPaWU2q6U2qiUek8pFW10TKL1XDc2jd9NG1xv2NE75yvEZkZ5i2FEOCx4MPGi+2KGmvZypsm7aYsMPbYez95luLWiOkmSLyFEE8wYkcyh0mp+yCwwOhRxer4EBmuthwI7gV8ZHI9oA3UT7r0Vr/pbD/kn37/jPod8Hckcs3fLoUpZ8dgqnvp8O0VbF7NFpxMW2X672tcnyZcQrWzywC6E2y28Jz2/2iWt9Rdaa/9Sth+AFCPjEW3DdlSrCX8LCoAIh3f+Vw02XnVNYaJ5A/1UFpWy4rFVLFqdSUrFVn7wDCQqxHryJ7QDknwJ0cocVjNTB3fl0025MizR/t0MfHq8Lyql5iilMpRSGfn5+W0YlmhpR7easDVS+VIK/ue+gEptZ47lY7YcLOWLLYeMCbiDcro9pFRuxa6crPT0JzrUZnRILUKSLyHawIyRyVTUuvliq/xgDkZKqa+UUpsb+ZhW75iHABfw+vHOo7Weq7UerbUenZCQ0Bahi1YyIi2aKYO6MCApEgB7vfYTkb7KV6TDSjERLHBP4DLTCt748nvuenOdzO9sQfn/396dx0ddnYsf/5zZZ7JCEgJJ2EEWUUHCqiIKWrUqCopbrUtdqlVrl9va+rve21q1t4t6e7Wt3OpVa7EuuFVRQARRRBBlJwgoCGEJgeyZzH5+f3y/M0kwQDDJbHner9e8mMx8M99nBnJ48pzne069nwlqMxGt+CQyXCpfQoj2mzgwj6Icl0w9Jimt9XSt9ag2bq8DKKWuAy4ErtGynkC3UJTr5olrS8nxGP/ZO1tNOxqVr1zzuSfDF6DQnFP/KoFQhH21TYkJOg3tr/MxwVJGme5HHRlku2zH/qYUIMmXEHFgsShmjCnmg20Hqaz3JzoccRyUUucBPwcu1lp7Ex2PiK/oVGO04d5qUbjNqchcswpTrguYH5nAlZbFZOHlq0Pyz6SzVFbVMNayjRWRkWQ6bdis6ZG2pMe7ECIFzBxTTDiiZbuh1PMYkAUsUkqtVUr9NdEBifiJ9n5F93t02iw4bUbylWP2H1kUPBG6kCzVxFXWxew42Bj7/jfX72X7gYb4B57imgJhrntqFeVrF+NUQTa5xqbNlCNI8iVE3AwtzGJUcTavyoKrKUVrPURr3VdrPdq8fT/RMYn4sVoU9104khmji3HYLK2mH6OVr54ZTjbpgSwPn8iNtnfYXVkDgNaan760jr+v2Jmg6FPXlv11vL+1ktD29whoG8MnnsfUYenTRynJlxBxdOmYEjbuqWNbhWw3JESquPH0gQzplRlbbsIZTb7Mnq/8TKMC9kT4Qnqragq/+hcATcEwvmCE+sOWoDhQ54tj9KkpetHCGZaNbLQO59bpJ/HApSclOKrOI8mXEHF0cWy7IWm8FyLVOKzGlKPzsMpXrseORcGyyMmU6X6cVfUCaE1VYwCAxhbJ1+qdVUx4aDG7pC+sTY3+EBvKa2nwh8inlpGWr9jiSY/9HFuS5EuIOCrIcnL6kHxeX7OHiFyOLkRKOXzaMdrz5XHYzJXwFYtyZjMwsov/e3pOLMFq9Iep9wXZX+tjX60PraGyQapfbfnnJ7uZ+ZflHGoIMNmyCYDynhMTHFXnk+RLiDibeWoxe2t9rNxRlehQhBDH4VsnFnLxKUVfq3y57dbYFZCeU2ezV/dkxI7/4x1zwdUGf4g/LPic7z61kiZzCyJ/UDbhbktVo59gWLO3ponTLRuo0RkEC9JnujFKki8h4uzckb3JdNqY95k03guRSq4Y1487pw1lwsA8LjqliCG9MgFj0+0MM/m6ZvIQPGfcyURLGcFdqwHwBkLsrfVRWe/HZyZfvpDsdtGWRr/xueyrbeJ06waqek3imkmDEhxV55PkS4g4czusfPukPszfsK9VL4gQIjUMyM/gf64aE1ts1eOw4nbYyHLajERs8o3UaQ9TDz0PNE87NgXDsS3GpPLVtuiYqA5upUhV0X/cBQzIz0hwVJ1Pki8hEuDy0hK8gTBvbdiX6FCEEN+Q025Uu9wOKx6HlYJsJwB2Ty6vWs9lul5JP1VBgz9EXVMIXzBCY0AqX0fjNT+f/lUfAWA94ZxEhtNlJPkSIgHG9u/BoPwMXl4tU49CpCqX2fvlsds4pSSXCQPzYs+9lzOTEFZutb5Joz9EbVMQgBqvcQWkVL7a1hgwKl8n+1axnb6Q2y/BEXUNSb6ESAClFLPGlrBqZxU7W6yGLYRIHRlOG267lcJsJ/ddNJKHZjY3httzi5kXnsJl1vfJixziUKOxrdghc/mJaO+XaM3rD5NBE6fqzayypd8SE1EdTr6UUj2VUouUUtvMP3sc4bjfKaU2KaXKlFJ/Ukqpjp5biFQ269QSLApe/lSqX0KkIpfdyuKfnMmssSVfe65Pjou/hC/CSoSbbW/hMytd1Wby5Q9J5aslbyCELximMRDiNMtGHCrMWuf4RIfVZTqj8nUPsFhrPRRYbH7dilJqMnAacDIwChgHnNkJ5xYiZfXOcXHG0ALmfVYeW81ZCJFainLdsf0fW+qd42K3LuSNyGSutr5HD+oAYguvSvLV2h1z13DPvPV4A2GmWtZSr918lZF+S0xEdUbyNQN4xrz/DHBJG8dowAU4ACdgByo64dxCpLTLS0vYV+tj+faDiQ5FCNGJCrNdADxnm4lH+bnB9g7QnHzJtGNr5dVedhzy0ugLMtW6jg8jo3C5XIkOq8t0RvJVqLXeB2D+2evwA7TWK4AlwD7ztkBrXdbWiymlblFKrVZKra6srOyE8IRIXtNHFJLjtvOSTD0KkVZ6m8lXsOcw3g6P43rrQrLwUu1trnz920vr+HCb/OIFxlWOtd4ARYEdFKkqlkRGk+m0JTqsLtOu5Esp9a5SamMbtxnt/P4hwAigBCgGzlZKTWnrWK31HK11qda6tKAgfXYwF6ItLruVGaOLWLBpP7XeYKLDEUJ0kt45xrITJT3cPB6aQbbycq11EcGw0WLQ6A/x0qflLNsmRQaApkCYqsYAkyKfAvB++BQynNYER9V12pV8aa2na61HtXF7HahQSvUBMP880MZLXAp8rLVu0Fo3AG8D6bdZkxDfwOVj+xIIRXhj/d5EhyKE6CT98zKYXVrChScXsVEPYmn4FG60vY2L1lc9NshCy4BR+arzhTjXspp1kUFU0JOM7l75OoY3gOvM+9cBr7dxzC7gTKWUTSllx2i2b3PaUYjuZlRxNsN7Z/Hy6t2JDkUI0UnsVgu/u+wUTi7JAeCx0AzyVR1XWd8Dmnu/vN04+YpENA+9XcbuKi9NwTAFVDPGsp2F4VIAmXY8ht8C5yiltgHnmF+jlCpVSv3NPOZl4AtgA7AOWKe1/lcnnFuIlKeU4rKxJawrr2VrRX2iwxFCdKJoArFaD2dlZDi32N7CQTCWfDX4u2/j/d7aJp54/0v+ZVb9z7F+BsB7GMmXVL6OQmt9SGs9TWs91Pyzynx8tdb6JvN+WGt9q9Z6hNZ6pNb6xx09rxDp5NIxxdgsipek+iVEWmmZQDwWuoQ+qoqZ1g9iyVd33t81uon2gTpjKvZcy2p2RAqpzRgMSPIlhOhieZlOzh7ei1fX7CEYlvV/hEgXDpsFh9WC02bhg8hJrIsM4jbrGzQ0+YDm7XS6o+h7P1DvIxMvky0bWRgppXeuG4DM7t5wL4ToepeX9uVgQ4AlW9q6ZkUIkao8Tiu5HjtOm5XHQzPobznAJZblgNFwX7avjhVfHEpwlPHnbVH5mmpZh0OFWRgupU+OkXxlOKTyJYToYlOHFdAry8k/P5GpRyHSSYbDRrbLjtthZWGklI2RAdxpexUbIbz+MA8v2sq9r21IdJhx11z58nOudTWVOps1emhsgVppuBdCdDm71cIV4/qy9PMD7KlpSnQ4QohOkum0ke2247FbAcUjoVkMsFRwqfVDGv0hqhsD1DV1v3X+ov1uNXV1nG1Zw6LwWCJYKO5hVL6y3fZEhtelJPkSIonMLu2LBl6U6pcQaWNEnyxG9MnC5TB6mBZHTmVdZBB3WV8lEPBR5Q1Q1xRC6+61x2tjwJh2nBz5jEzl462IsfznhSf34Y+Xn8KJRdmJDK9LSfIlRBLp29PDlKEFvLh6NyFpvBciLTx65Rh+c8lJeMzkK8tl55HQZfS1VDLT8j77a30EwpFut9l2dI2zC60fc1Bns1KPBCDHbWfW2BKUUokMr0tJ8iVEkrlqfD/21fp4f6tsOyJEOvHYjR6mXI+dpZFT+CwyhDtsrxEKGFc+vrflAKN/vTC2DEW6awyEcePjbMsa3g6Pp2emB6tF4bSlf2qS/u9QiBQzbUQvCrKczF25K9GhCCE6UXTasYfHASgeDl1OsTrEbOtSAD7+8hA13iC7q7yJCzKOvP4Q0yxr8Cg/b4Yn0SfXjcdhTeuKV5QkX0IkGbvVwuzSEpZ8foC90ngvRNowGu6NaTWADyOjWBUZxg9sr+MkwI6DjQDUpnnz/UfbD3Leo8uoagxwofVjDuhcPtHDKOnhJtuVvk32LUnyJUQSunJcPyIaXpQV74VIG26z8pXrcZiPKB4JXUYfVcWV1iXsPNQ9kq81u2vYsr+e8v0HOMuylrfCE7Bardw9bSi/nXVSosOLC0m+hEhCfXt6OGNoPi98sptwpHtdASVEuoolX2bly2G1sCJyIivCI7nD9hrV1dVA+idfNV6jp21k9WKcKsgb4cm47VaGFmZxxtCCBEcXH5J8CZGkro413suK90KkA7c9Wvkykq+CLCcAvw/NpkDVcr3lbcBIvjbvrcN7jK2HKup8HKj3dWHEXaPaaySX50eW8kWkD2v0EDxpvJp9WyT5EiJJTR9ZSH6mNN4LkS48h0079so2kq/P9Am8Ex7HrbY36Ukd+2qbuOTx5cf82f/pS+u499WNXRt0F6jxBuirKphg2cK88BmAin023YUkX0IkqWjj/XtbDlBe3T2ufkpGSqn7lVLrlVJrlVILlVJFiY5JpKYctx2rRdEzw6h89TIrXwAPh6/Ag487bK+xdX8DgXCEirqjV7WqvQGqU3BZimpvkFnWD4hoxVLn2UDzlGx3IcmXEEnsmon9Afj7x18lOJJu7fda65O11qOBN4H7Eh2QSE1XjOvL8zdPJNdtVr6yjD0Ms5w2qjwDeCE8le9YF9FQsR1onp47En8wQiAFF2OubfQx0/IByyMnQk4JgFS+hBDJozjXzbdO7M0Ln+ymydyKQ8SX1rquxZcZgFwBIb6RLJed8QN7xhYRzXHbcdos5HjsZLvs/HdoFmGs3Bx6HmhuTD8SfyhCIAVXxR/oXU8/SyXzwlMoNKdepedLCJFUrps8gBpvkNfX7kl0KN2WUuoBpdRu4BqOUvlSSt2ilFqtlFpdWSk7FIi2Oe3Gf70ep5VMp40eHgdZbjsV9OSp8Hlcal3OiWoHNd4g72zcz6trymPfq7VmzrIv2F/rwx8Kp1zypbXm28GF1Gk3CyKlFGYb1T+pfAkhksqEgT0Z3juLpz/a2e023o0XpdS7SqmNbdxmAGit79Va9wX+AdxxpNfRWs/RWpdqrUsLCrrHJfPi+DltRqKR4bCR4bSR67GT7TIqP/Pcl3FIZ3Gf/e9UN/r53w++5M9Lvoh9b0Wdnwfnb+HtjfsIhIz9IBdtrmDq75ekRCJWX7Wf8y0reSV8Bk24YsmX9HwJIZKKUorrJw9gy/56Vu2oSnQ4aUlrPV1rPaqN2+uHHToXmJWIGEX6cJlLTmQ4bZw+NJ/Jg/NjK7v3KujFH0KzmWDZQql3GRV1Piob/ITCEb6obKDBb/SB+YJG4hUIR9haUc/OQ14a/CE27qkllMR9YOFPn8OpQsxT5wLQw2PHbpWrHYUQSWjG6GJy3Hae/mhnokPpdpRSQ1t8eTGwJVGxiPQwuCCDey8YwTkjC3nw0pO4bepgst1G5WtgfiYvhM9ic6Q/d4WfpbaunhpvkBdXl/OtR5axu8rYcswXDMd6vvxmxWt3lZeLHvuQBZsqEvbejioSwbPhWVZGhqN7DQeMBPTKcf04a1ivBAcXX5J8CZEC3A4rV47vy8LNFbLfY/z91pyCXA+cC/ww0QGJ1KaU4uYpg2J7PAKxytfAfA8RLPw6dC3F6iDX8S8AVnx5iFBEx7YgavSHCEe0mXwZF+NU1vvRGmqakm/5ifkb9vHKy8/irN/Fc6HpDCnIBIzk6/5LRjFtRGGCI4wvSb6ESBHXTuyP1prnZNmJuNJazzKnIE/WWl+ktZYrH0Snu2RMMb84f3hs+YnPXacwPzye221vUEgVa3cbWw/tqzXW/qrzGdOPgXAEfzDS+rEk6/3SWvPzeevJ2vAMlTqbdyLjGdLLSL6623RjlCRfQqSIkh4epo8o5PlVu/AFZdkJIdLJiD7Z3Hrm4Fg1bFjvLB4MXY2VCL+wz41NN0Yr39H9H8MRHVuGpt5nbEcUCEVYtrWSNbuq4/022lTjDdLL/xXnWD9jbng6QWxMGpxPzwwHg80KWHcjyZcQKeT60wZQ7Q3yxtq9iQ5FCNEFcsx9H4cVZlGue/HX8IVcYv2I0ywbgObKV8vNt+vNJvy6pubK14Pzy3i8xVWSidAUCHPf6xtZV17DTdb5hC1OngkZjfaj++by2b+fQ9+enoTGmCiSfAmRQiYNymN47yz+9uGXRCKy7IQQ6ebk4hx+dt4wLhvbF4A/h2awI9KbB2xP4STAvljlq3nT7WjFq+VUpC8YxhcMU7avjv9ZvC3O78KwZlc1z674ipeWfspM6wfUD59NyNUTAKtFJSSmZNGh5EspdblSapNSKqKUKj3KcecppT5XSm1XSt3TkXMK0Z0ppbj1zEFsrWhgyecHEh2OEKKT2awWbp86hKJco/crMyOT/7J9nwGWCu60vUpFvR9ornIB1JnJV8tpR7/ZiP/W+n38cdFWgglYfqKywYh15O7nsRPGNeUulv3sLBbcPSXusSSbjla+NgIzgWVHOkApZQUeB84HRgJXKaVGdvC8QnRbF55cRHGumyfe/zLRoQghuki096sw28WunFLmhc/gVuubDNK7gdbJV71Z8YpWvvyx5Kv5SshENOEfbAiQiZdrrO+y1DIeV+8TyPU4GNY7K+6xJJsOJV9a6zKt9efHOGw8sF1r/aXWOgD8E5jRkfMK0Z3ZrRa+d/pAVu2s4tOvkqOhVgjRuWxWC9kuG4XZTgqynPwmeA31uHnI/jcUEer9X592jFW+wub6X8EIPvNKSH8nJ1/hiI4lfVEvf1rOh9sOsremife2VHCwwc8N1nfIVY280+PqTj1/qotHz1cxsLvF1+XmY22SvdGEOLYrx/cl12Pnr+8ntqFWCNF1Jg7KY8KgPHplOalR2fzZfj2llq1cb13Q6rhoFaxlw70/FI7dwFgX7NF3t8aqYx31wie7mfK7Ja1W039k0Vae/mgnT3+0k5uf/ZTaQxXcbHuLBeFSQoWjO+W86eKYydex9jxrh7a66o7YKSx7owlxbB6Hje9OGsCizRVsP9CQ6HCEEF1gzndL+f6Zg7l4dBG3TBnEiqxv8V54ND+3/ZMhqnmz7WhVK9r75QuGCYY1/lBz5Wt9eS2PvruNZVs7p6hRXu2l2hukMRBmcVkFgVCEel+QqkY/lfV+whHNyJ3Pkq2aeCR0Wbe9qvFIjpl8HceeZ0dSDvRt8XUJINfJC9FB103qj8tuYc4yqX4Jkc7OGFrAL84fQbbbwc+Dt9CIi0fsf8ZOqNVx0WnABnNKsmXPV3TV++iaYB3VZK41uGlPLd97ZjULN++nwR+iqjHAocYAedRyaeBfrPRM5YoLz2P2uL7HeMXuJR7Tjp8AQ5VSA5VSDuBK4I04nFeItJaX6WR2aV9eXbNHthwSohvIctmoJJdfBm/iJMtO7rK90ur5uqbWvV/GchORVs911gLN0dfZY449u6uaiGg41BigqtHPj2wv4yTI0qLvccNpAynOdXfKedNFR5eauFQpVQ5MAt5SSi0wHy9SSs0H0FqHgDuABUAZ8KLWelPHwhZCANx65mAAHl+yPcGRCCG6WrZ5BeSCyDheDJ3J7dbXOVVtjT0fMPuv6ltd9WgkSdFFWZs6mHztPNjI3pomvGYFLbqcRHm11zx3iJzaMq62vsffw+eg807o0PnSVUevdnxVa12itXZqrQu11t8yH9+rtb6gxXHztdYnaK0Ha60f6GjQQghDca6bK8b15cXVu2O/gQoh0lOWyxa7/+vQtezV+fzJ8Rg5tO77bDArX+GIptF/WPIV6NhVjz96cS2/+tem2PRlpbnuWPP4o7k78L9Uk8kjoVnkZzo6dL50JSvcC5Hibp86BIWS6pcQaS7LZVS+HDYLDXj4QfAuCqjhUfvjKJqTqui0IzSv/VXXSZWvQw0BqhuDsdeJJl/l1UbyNcOynHGWrfwudCV1ZFKQ5ezQ+dKVJF9CpLgis/r10urdsdK/ECL9ZJuVr4JMI6FZrwfz69B3Ocu6jjutr8WOawg0J1/Rilf0z472fDX4QzT4Q7HK14H65mnHfGq5z/531kYG8bZ9GgD5mZJ8tUWSLyHSwO1nDTarX3LloxDpKtusfOW1mMr7R3ga88Knc7dtHt+yrAJAt1jMqe6w5KujVzs2+EJ4A6FY5eugmXz5gmEetP+NTHz8W/D7nNLX2MNRkq+2SfIlRBrok+PmyvFS/RIinUV7vlonNIpfBm9irR7Mo/Y/c4pq3X4QMROxzmi494fCBMIRGvzhr007zrJ8wLnWT/l9aDbbdAnXTRrAXWcPYUivzG98vnQmyZcQaeK2qYOxWBSPLNqW6FCEEF0gut9jdNrRajHWMPfj4ObAT6jUOfzN8Qf6qoqvfW/L5Ov/vbaB5z7+6ojnWbWjilU7qlo99tqaPVTUGomWN9A87VjvDzFY7eE/7c+wMjKcp8LnAzCsdxY/PndYLEbRmiRfQqSJPjlubpg8gFfWlLNpb22iwxFCdLJxA3vyHxeNZOowY/eXTGfz1Y+HyOGG4M+wE2au/UGKONjqe6PLT/iCYRZsquC9LQeOeJ7/emcLv327LPb1rkNe7n5hLXNX7QLAGwjTaC7kmk0jc+wP48fOT4K3k+MxEsM8ucrxqCT5EiKN3H7WEHLddh6cX4bWR9zFSwiRguxWCzecNpBMc/qxZfIF8IUu5trAL8hRDcx1PEAhzdWr6PRjUyBMvS/IQXN9rrZUewNUe5v3gKxs8AGwq6ox9lidL4SFCH+yP0Y/dYDbAndT5+xNXqYTl92Cx2H72uuKZpJ8CZFGctx2fjhtKMu3H2Lp57IxvRDpyGW3AuC0W3DYWv83vkEP4rrAPeSrWl50/JqBal+r5+t9IXzBSKxXqy013iDV3gCLNlcw+aHF7KmJJl/N/aSKCP9lm8NU6zr+I3Q9n+jhZLns9MxwkJchTfbHIsmXEGnm6gn9GZifwQPzywiFO7agohAi+bhsZvJls+K0Gv+Nt+ytWqOHck3gl2SqJuY5/oMxqrkPNLoi/cEGf5vV8UhEU+MNUNsUZO3uavbW+ti4x2hj2HXISL6MxOt/udy2jEeCs5gbNpaVyHLZmDiwJxMH5XXBu04vknwJkWYcNgv3nD+c7QcaeGH17kSHI4ToZC678V+3w9Zc+Wq5+j3AOj2EmYFfUacz+KfjN1xrXQhoqhqNDbaDYR1rwm+pIRAioo3lKnYcNKYZy/bVAcZUowcf/2N/jNm293k0NJP/Ds+KJX7ZLjs/PncYf5x9Spe873QiyZcQaejckYWMH9CThxdupcYbSHQ4QohOFJt2PEryBfCV7s2lgV+xPHIi99ufZo79YQqoiT3/2po9/ObNzQBorXnu46/Yur8+9vy2CmPborJ9xmOD1F5ec/w751tW8mDwKh4NXQZA72zXEWMQbZPkS4g0pJTiPy8+kZqmIL95q+zY3yCESBlOs/LVMvmKLsBqt7Ze2qGabL4X/Cn3B7/DVMtaljh/zO3W13ES4PGlX/C3D3ewu8rLm+v38f9e28j9ZjIGsPOQUflqbKjlbtvLvOX4JXmqju8G72FO+KLYcUW5knwdL0m+hEhTI4uyuXXKIF7+tJwPtknzvRDpornyZcVhbZ18Rfd/bElj4cnwBZwb+B0fRU7kZ/YXWOG8g1uanmSE+or3P6/gvxcbfWFVLSrlvcIHuM36BkucP+Fu2yssjpzKhf4HWR45yYzDOHefHPcRzy3aJmmqEGnsrmlDeWfjfn7xygYW/miKXP4tRBqINdzbvz7tmOWyUdUYQKnW2wwB7NR9uCX4E8aHyrjOtoDrrQu42Taf+gX3MyA8kBp7Jv56B9l2L0NVOQMsxmKtK8Ij+UHoLj7Vw1q9Xn6mk/LqJopy3a1iEMcmn5QQacxlt/LbWScz+4kV/GHBVu67aGSiQxJCdJDdqrAocFpbTDuaq9/HKmBOG3U+YyFUi2pe5wtglR7BquAI8qnl2+6NnBDcwkRPOYMie4kEm6jXbsp0P54LTufdyKns1H1i35vlslFvvm6emXzlZTj4+XnDOXt4r3i8/bQgyZcQaW78wJ5cO7E///fRDr59ch/G9u+R6JCEEB2glMJltxqVr69NOxr/rXscNpqCYYJhTbbbTo032Koalp/p4GBDDgOn38yfP9jBGTdP5LFlXzB3pbGKfTRhU2YLWXGumz01TRRmu6j3GY34+RnGKvYep5VrJvSP19tPC9LzJUQ38LPzhlGU4+au59dQa9F0gwAAC55JREFU6/365eVCiNQypl8uI/tktzntCMYyFE5zejK6J2T0T4fNQlGuG6fNwrWTBrD8nrPpl+ehKMdonM902sj1GInVwPwMAAabG2Tnuu04zXNGtxDKkHaG4ybJlxDdQJbLzmNXj+FAvY+fvrxOth4SIsX946aJXDtpAE6bBaWatxqKNr07bZZYkhStivUwE6psl40hvTIZ279Hq8VZo43zOW47uR7je04sygFgSIGRfGW6bLFz5ZkbfGc4Jfk6XpJ8CdFNjOnXg3vOH8GizRU8+eGOuJzzpdW7qfNJpU2IruIwk6zo8hPRypfT3px8HV75ynLZefDSk3jyunGtXquPuWRErsceS9RG9skGYIhZ+cp02vA4jYpaXka08mXtmjeXxiT5EqIbufG0AXzrxEIenF/G0s8PdOm5Fm7az7+9vJ5nP9rZpeeJF6XUT5VSWimVn+hYhIhyWI3pRWds+jFa+bLiNJekyHYbCVkPT3NfmMtuxX1Y0lRkVr6M5Ms49pyRvTihMJPThuTFvjc6zRibdpTK13GT5EuIbkQpxcOzRzO8dzZ3zF3D5y1Ws+5Me2ua+Pm89YwqzuaWKYO75BzxpJTqC5wD7Ep0LEK0lOO2k+O2x/q7sqM9X9YjTzseaUmI3mbPV67bQQ+PgyyXjSG9slj4ozPpn5dBXoaDwmwXGU4bTpuFCQPzOH9Ub4YWZnbpe0xHknwJ0c1kOG08eX0pHoeVG5/+hD01TZ36+vW+IDc+/QnBsObRK8bEGoJT3CPAzwBplhNJ5c5pQ3nyutKvNd5Hpx2tFhWrTEWb6LOcbS+G6rJbKenhpriHm5vOGMTvLzu51fNv3Hk6t0wZRIbThtthpSjXzV++M1bWD/wG0mJUFEIcnz45bp66fhx1viBXPLGC3VXeTnndUDjCHXPXsO1AA3++5tRYn0gqU0pdDOzRWq9rx7G3KKVWK6VWV1bKrgKi6+VnOhlamBVLuvIyjCZ4ow/M2qrxPjqVmHmUxVDn3TaZH04byrDeWZw3qk+r54pz3XgcNjIcVjx26fPqCEm+hOimRhXnMPemidT7QlzxxAq+qGzo0OuFI5qfvbye97dW8sAlo5hyQkEnRdr1lFLvKqU2tnGbAdwL3Nee19Faz9Fal2qtSwsKUuf9i9R32uB8nr5hHKP75QLE+sBcdmtsSjI34+jTjkBsWvFopo8o5KLRRZ0UeffUoeRLKXW5UmqTUiqilCo9wjF9lVJLlFJl5rE/7Mg5hRCd56SSHP5x0wR8oQiXPLacRZsrvtHrNPhD3P6PT3llzR5+cs4JXDm+XydH2rW01tO11qMOvwFfAgOBdUqpnUAJ8JlSqnci4xXicBaLYuqwXrHpx+g6Xy2vhOwZW2qiY3swzhpbwi/OH9GxgLu5jla+NgIzgWVHOSYE/ERrPQKYCPxAKSV7nAiRJEYV5/DGHacxID+Dm59dzUPzy/AFw+3+/q0V9Vz82Ics2lzBv184kjunDe3CaONLa71Ba91Laz1Aaz0AKAdO1VrvT3BoQrQpuuK902Yh220zm/Gbl5z4zSWjuGxsSSJDFHRweyGtdRkYV1Ad5Zh9wD7zfr1SqgwoBjZ35NxCiM5T0sPDS9+fxK/+tZknln3Jm+v3ccfZQ5gxuuiIzbT7a338Zel2nv9kN9kuO/+4aSKTBufFOXIhREvNyZeVO88eSr0vyCc7q43H7Ba+M1G2AUoGcb1EQSk1ABgDrIzneYUQx+ayW3lo5klcfEoRv327jF+8soH739zM2P49GD+gJ/3zM9Bas6emidU7q/lw20EiWnPZ2BJ+fM4J9Mp2JfotdDmz+iVE0rJYVGydrt45LnrnuFhfXguAyyZN8snimMmXUupdoK3+hnu11q+390RKqUxgHnC31rruKMfdAtwC0K9favWNCJEOJg3O47UfnMaqHVW8uX4fq3ZU8cdFW1sd0z/Pw7WT+nP95AH07elJUKRCiLa8ctvkVr8M9clxYbMoCrKcCYxKtHTM5EtrPb2jJ1FK2TESr39orV85xvnmAHMASktLZU0dIRJAKcWEQXlMGGRMI9b5glTU+lAKemW7OtywK4ToOoMKWi/xMmlwHit/OS22F6NIvC6fdlRGQ9iTQJnW+uGuPp8QovNlu+yScAmRopRSknglmY4uNXGpUqocmAS8pZRaYD5epJSabx52GnAtcLZSaq15u6BDUQshhBBCpKiOXu34KvBqG4/vBS4w738IHPlySCGEEEKIbkRWuBdCCCGEiCNJvoQQQggh4kiSLyGEEEKIOJLkSwghhBAijiT5EkIIIYSII0m+hBBCCCHiSJIvIYQQQog4kuRLCCGEECKOlNbJu32iUqoS+Kqdh+cDB7swnK4iccdfqsbeHeLur7Uu6Mpg4kXGr6SXqrFL3PHX6WNYUidfx0MptVprXZroOI6XxB1/qRq7xJ2+UvUzStW4IXVjl7jjrytil2lHIYQQQog4kuRLCCGEECKO0in5mpPoAL4hiTv+UjV2iTt9pepnlKpxQ+rGLnHHX6fHnjY9X0IIIYQQqSCdKl9CCCGEEElPki8hhBBCiDhKqeRLKXWeUupzpdR2pdQ9bTzvVEq9YD6/Uik1IP5Rtq0dsf9YKbVZKbVeKbVYKdU/EXEe7lhxtzjuMqWUVkolxaXE7YlbKTXb/Mw3KaXmxjvGI2nHv5V+SqklSqk15r+XCxIR52ExPaWUOqCU2niE55VS6k/me1qvlDo13jEmg1Qdw2T8ir9UHcNScfyCBIxhWuuUuAFW4AtgEOAA1gEjDzvmduCv5v0rgRcSHfdxxH4W4DHv35YMsbcnbvO4LGAZ8DFQmgpxA0OBNUAP8+teiY77OGKfA9xm3h8J7EyCuKcApwIbj/D8BcDbgAImAisTHXOS/t0m3Rgm41dyxp6MY1iqjl9mLHEdw1Kp8jUe2K61/lJrHQD+Ccw47JgZwDPm/ZeBaUopFccYj+SYsWutl2itveaXHwMlcY6xLe35zAHuB34H+OIZ3FG0J+6bgce11tUAWusDcY7xSNoTuwayzfs5wN44xtcmrfUyoOooh8wAntWGj4FcpVSf+ESXNFJ1DJPxK/5SdQxLyfEL4j+GpVLyVQzsbvF1uflYm8dorUNALZAXl+iOrj2xt/Q9jAw70Y4Zt1JqDNBXa/1mPAM7hvZ83icAJyilliulPlZKnRe36I6uPbH/J/AdpVQ5MB+4Mz6hdcjx/gyko1Qdw2T8ir9UHcPSdfyCTh7DbB0OJ37a+u3v8HUy2nNMIrQ7LqXUd4BS4Mwujah9jhq3UsoCPAJcH6+A2qk9n7cNo2w/FeO39A+UUqO01jVdHNuxtCf2q4CntdZ/VEpNAv5uxh7p+vC+sWT92YynVB3DZPyKv1Qdw9J1/IJO/tlMpcpXOdC3xdclfL1cGTtGKWXDKGkerYwYL+2JHaXUdOBe4GKttT9OsR3NseLOAkYBS5VSOzHmwd9IgqbV9v5beV1rHdRa7wA+xxjIEq09sX8PeBFAa70CcGFs/JrM2vUzkOZSdQyT8Sv+UnUMS9fxCzp7DEt0k9txNMPZgC+BgTQ38p142DE/oHWz6ouJjvs4Yh+D0ag4NNHxHk/chx2/lCRoWG3n530e8Ix5Px+jnJyXIrG/DVxv3h9hDgAqCWIfwJGbVb9N62bVVYmON0n/bpNuDJPxKzljT8YxLJXHLzOeuI1hCX+zx/nBXABsNX/I7zUf+zXGb1pgZNAvAduBVcCgRMd8HLG/C1QAa83bG4mOuT1xH3ZsMg1ex/q8FfAwsBnYAFyZ6JiPI/aRwHJzYFsLnJsEMT8P7AOCGL8hfg/4PvD9Fp/34+Z72pAs/06S8O82KccwGb+SL/ZkHcNScfwy44rrGCbbCwkhhBBCxFEq9XwJIYQQQqQ8Sb6EEEIIIeJIki8hhBBCiDiS5EsIIYQQIo4k+RJCCCGEiCNJvoQQQggh4kiSLyGEEEKIOPr/Z/14TPiDInIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7774bALBw4UK8++67mDNnTtT9h0Ih3H777Zg+fTqWL1+OG2+8EQ8++GCDxxvSDVQFE+O0GUpoMTzJkZuP4XXI+SISAzlfjeSbdfvx52mrEdAN3H3mkfj9qf2R7qN2FIJxA7Lw35uPw2WvLsSTX27EPy8fnuwhEURqUItDlUgeeeQRjBkzBhkZGZg8eXLM202YMAGdOnWqdZ3Nmzdj3bp1mDBhAgBA1/VGuV6TZ2/FnE2F+PKOkxu8j2iIsKOcXC8LMMASZuR8EfGGxFcD4ZxjyvwdePqbTRie0wEvXDEC/bIykz2slGRk74743fj+eHnudhzXrxMuH9Or7o0IgkgIJSUlqKioQCgUQk1NDTIzY/u7Ja/n8/lgGIb5vKYmnNfJOceQIUOwcOHCuIy1sCyAwvKoZSEbhZpUL8p7hf8pzldCRkC0ZCjs2AC2FVbg9x8sx1Nfb8J5w7rj41uOJ+FVB7efPhAnD8zCXz5dg0+W7a17A4IgEsItt9yCxx9/HNdccw3uu+8+13Xatm2L8vLyqPvo06cPNmzYgEAggNLSUsyePRsAMGjQIBQVFZniKxQKYf369Q0eqxGpvRVPFu0oxsLtxa6hRWvGY+T4Zj5YXIdANBNmrMrDh4v3JGTf5HzVA8453lu4G09+tRF+D8O9Zx2JW08dAI+nZed2xUKG34u3Jo3BxDcX4/FZGzD+yGx0pQR8gmhS3nvvPfh8Plx99dXQdR3jxo3DnDlzcPrpp9vWO+aYY+Dz+TB8+HBMmjQJHTt2tC3v1asXLr/8chxzzDEYOHAgRo4cCQBIS0vD9OnTcccdd6C0tBSapuGuu+7CkCFDGjReUXcrnvzrh60wOMdJkSLQhiTCxIxHMx+MU9ixJfO/lXkorgzi6uPi3+qQxFeMVAQ03D11Fb7fUIDTBmXj2cuGI6tNyyoh0Vj8Xg+evuQYnP3ifNzx0Uq8e+NYZPgpP44gmorrrrsO1113HQDA6/VGbaDt9/tNN0swadIk2/NnnnkGzzzzjGPbESNGYP78+XEZL0+A86UbYXfLSriXj2c5YIBVZJWkV8vE4EjYxDkKO8ZASWUQ17y+CHM2FeKhXx2NtyaNIeHVQPpmZeLZy4Zj8c4S3PXxKipiSBBEVIQbFe99ygJLrnAPcHN5eF1Iy4iWhsE5EhXYIuerDnYeqMRv31uGPSVVeO3aUThzcNdkD6nZc8HwHiiuCOCxWRvw6Mx1eOKiYckeEkG0SNauXYuJEyfaXktPT4/qiDU1ctmHeO/TMAWWPewoQ2HHlo3BObwJcr5IfEXBMDhe/GELXvlxO1r5vXjvxrE4vn/nZA/rsOGGE/sh72A13vh5J359TA96bwkiCQwbNgyrVq1K9jCiInKw4rtPu50lz2gUrYXMZHwKO7ZoDAPwUNix6QhoOu6cugqT52zDBcN7YPa940kcJIA/nTUIPdpn4G+zNlD4kWgxxNvJOVxwe1/CblScna9IQr1bLa9wayGnK0a/s5aJzjkSVSudxJfCoaogJr6xBLNW5+O+c47CPy8fji5taVZeImiV5sX/nXc0Nuwrw7sLdiV7OASRcDIyMlBcXEw3cwXOOYqLi5GRkeF4nSP8d/m+6WtQHdTjcixIos5WakJNuKecrxYN5xzeBCV9UdhRYsWeg7j3k9XIPViNyVeNxAXDeyR7SIc9vz6mOz5dkYvnvtuMs4Z0RU7H1skeEkEkjJycHOTm5qKoqCjZQ0k5MjIykJOTY3vNMMLiaOWeQ5i6bC+uGNsLx/buGGUPsRGewebS2xGS+2XW+SLnqyVj8MSFHUl8RXjz55144ssN6NYuAx/cfBzG9qu9jQYRHxhjeOKioTjrhfl46H/r8PakMS2+JyZx+OL3+9GvX79kD6PZIJLgZXfq560HMLBrmwbXCRRFVIWcEgLLiMQihQAD5IT7xpwF0VzRDQo7JoziigDu+GglHv9iA84e3A3f3zOehFcTk9OxNe49axB+3FyEmavzkz0cgiBShEj1Byn8x3HL+8vwwaLdtW63ZGcJ5m4qdF1mGCLvK1JqQk64j/xA7YUIIHwdkPOVAMpqQrj69cXYeaASd505ELefPjBh8V2idq4f1xczVufjsVkbcPLAbHTKTEv2kAiCSDI8kptlSA5UUDMQ1Ixat3tt3nYUlgdw2lFdHMsMzsHATEVlz/misCNhYXAkTBO0WOdr5Z6DuOK1RdheVIG3bxiDu848koRXEvF6GP7xm2Eoqw7hiS83JHs4BEGkACLkyCWhFMsMSJ1z6AZHZUDDF2ucbjqXBZ0029EQAkxtuk3aq0WiG4krstrixJdhcHywaDcue3UhDlYG8eq1o3BipMcXkVyO6tYOvx9/BD5bkYeftlJCMkEkm6/X7kNxRSBpx7cS4O0Cqa4cLCHavlm3H7d9uBIFZTX2fXI4BRZEY22X2Y7gmPT2Evzjm01xPDsi1TE4p/ZC8WDz/nKc+cI8PPS/dRg3IAvf3XMKVaxPMW47fQD6Z2Xigc/XoiqoJXs4BNFiqQpq+MN/V+DzlXlJG4Mosmomvhvi9drVl3CvgpGpjHKY0uCWyAIAnZsbmblgzjpfwO7iKuwpqYrLeRHNA86RsAr3LUZ8zd9ShCunLERlQMPkq0bi7Ulj0C7Dn+xhEQoZfi+eumQY9pZU4/nvtiR7OATRYglFVElIT17MzXK8ws+1iPqqKwwYdsys0GJINzDp7SVYvrvEbC3kDDvaa32J/YhlRgKafBOpjcE5PAlSSYd9wn1VUMPD/1uPT1fkon9WJt6+YQz6dM5M9rCIWjiuf2dce3xvvPHzTgzv1QHnU701gmhy5FyobYXl0AyOo7q1a9oxuORlyY9RtzPsrYnKajT8uLkIJw3IMhtoqwKLi/+kIquiBpj5OmmvFoVOYceGUR3Uce0bi/HZylzcfvoAfH3XySS8mgkP/3owxvTtiHunrcb+0pq6NyAIIq7IrXWe/HIjHp2xvsnHwE3HK/yDplvi6/nvt+Dmd5e5bxdxvYRTJSfOWzlfSqkJWVy5hB0T0eqISG0o7NgAft56ANe+uRgr9x7Cy1cfiz+dNQjpPm+yh0XESLrPi+cvHwHN4Hht/vZkD4cgWhw6t9yfmpCBmjrKO9SXK6csxPPfu6cWfLBoN1btPWTV4oqEG2UxtL2oAtuLKly3F66XCFdaSfUiod6lyCqXmmsry0QOGRVbbVkYnGY71os5mwpw7ZuLsaekCs9dOhznDeue7CERDaBXp9a4eGRPfLh4j222EkEQiUdObjc4N4VIvNhTXIW9URLYn/tuMz5bkSuJp/CjZsvP4qaoUlHrg+nSdsIRs8KOkW0gtrHneoX3JwQYqa+WRLjURAo7X4yxcxhjmxlj2xhj97ssT2eMTY0sX8wY6xuP46oENQPvL9yFOz9ehcHd2+Gnv5yG34zKqXM7InW5/fQB4Bx4+mua4k0QTYkcdpQrwsdv/9H3qRthYaWGBnXJiRJ9H6Pt2835MiQHSxVmEMn2Uj6Y3F4o7Io16pSJZgbngCdVi6wyxrwAXgZwLoDBAK5ijA1WVrsJwEHO+QAALwD4R2OPq7IurxTn/ms+Hp6xHgO7tMFrE0chw09hxuZOn86ZuOWU/vh8ZR6W7SpJ9nAIosUgRInOuVm0NJ7IJR1ULIEUGUvE+pJzvuTiq+77tsSbPEvSFFjSuvIj586QpOWKkfpqCXy1dh8Ky2pSPuw4FsA2zvkOznkQwMcALlTWuRDAu5GfpwM4g8VxCsHa3FJc/foiVAV1vHn9aHz6h3Ho1al1vHZPJJlbTzsC2W3T8ey3m8n2J4gmQg7L1SZ06kNVUMMf/7sicmND1FCmcL2s/ovW69aY6na+HIVUzRCqlHAv7ROw8r7Cr9mT8Snn6/AnqBn444crMG15bsqHHXsC2Cs9z4285roO51wDUAqgcxyODQB4ae5WtGvlx7Tfn4Azju6asKmhRHJonebDracegcU7S/DLtuJkD4cgWgS6JEAMg5vPG8P2wkp8uXYfVkaS6aOLJ7uzJUSaZgsf2rfnnOP2j1Zi4fZiR86XPVdMrG8/T3lGpLpM1AYj7XX4Exb+YZfVSOWwIwC3kanXaCzrhFdk7BbG2DLG2LKiothazLxwxQh88rsTkNOR3K7DlavG9kbPDq3w11nrEdD0ZA+HIA57TEfI4LW6VPXap03MRBdfwmXiinjSpfChwbmZiA+Ei8HOWp2PpbtKHE6VvX+jXdhZj1KOG7htOzP4SM77YY8IUesRgZ/KYcdcAL2k5zkA1E6m5jqMMR+A9gBcE3g451M456M556Ozs7NjGkDrNB96dGhV33ETzYgMvxdPXDQU2wor8Pr8HckeDkEc9sjV5eOV72QluYeFjR6leoUlkuzbaTYRBZsYknO31AbcmhKulCcQyLltgD2xXp7tWFuYkzh8MGf5RtzeVA47LgUwkDHWjzGWBuBKADOVdWYCuD7y86UA5nD6CkHUk9OO6oIzj+6C13/aSX0fCSLByGFHPXIjqgpqWLDtQIP3adjChnbxdKAigN/8ZwEKymoiroOLQFJKRtjDjpCW2fOz5JwviAKsyjKzmr3kitlnSXLzxlwXusHDpTIoSazZITtfRirnfEVyuG4D8C2AjQA+4ZyvZ4z9jTF2QWS1NwF0ZoxtA3APAEc5CoKIhd+PPwKl1SFMX56b7KEQxGGN7ABwHn7+xep9uObNxThUFWzQPmUxI2ZRCrYWVGD57oPYUlDuaHDtFF/OoqdySJObYsmZzyVyt5yzHC3ny7EMVkPuWFi2qwT3fLIaK/YcjPWtIVIE+UsH50iY+IpLb0fO+VcAvlJee0T6uQbAZfE4FtGyGdWnI0b06oDXf9qBq8b2ht97WNYJJlIQxtguAOUAdAAa53x0ckeUWORCo3rEZaoKauAcCDSw2r0tiT8irmasysM36/Zj4vF9ADgLqQKWeNIkB0t1vtzDjrBtL173hA0w2zJbwr3LPrm0v7oQzciD0eKqRMoi5zrqKZ7zRRBNBmMMt502AHtLqvH5irxkD4doeZzGOR9xuAsvwClYwqFH+7L6YrlplrhauecQ5m0pMoWZXMtLaCtNuiFa29ur7nOzIr/T3VJnO9oFVuScuPO4pnYyt4vtvOUSFUTzQg5DG5yn9GxHgmhSzji6C4b1bI9/z92KEH2zJIi4YhgcO4oq7E6SMuOxoeJLV5wkuZ6X6W5FPtPhY9rDf2rCvTwMh/MlV8g3Z0la+V7m+oYilLj5P1sokiO6mPpu/X5s2l9mPledM6L5oCvXWMrmfBFEU8MYw11nDsTekmp8toJyv4gmgwP4jjG2nDF2i9sKDSmVk2rM3lSICS/MR0FZAIDlUok8LaDhokJOuNcj4krnouhpeB1NcdwA94R7IaT2l9bgnk9WoToULkFjOluSu2U11rZmOprulnIMWWTZy21En/H56Mz1eOeXXfhoyR5MenuJLWRLND3lNaEGb2sTXwaFHQnCxulHdcHwnPb495xt5H4RTcWJnPNjEW6l9kfG2CnqCg0plZNqHKwKQjc4yqrDNzBb2LEW52ttbin+77M1tYbmnBXqrZwyK6/LMNdRRZA95yu8fOmuEny2Ig87iirD20lumsMxM6ym2qrzJSfeOxpro/YK91rkvdmQX4aVew7ZaoYRTcu2wgoMf+w7bCkob9D28jUebi9EzhdBmITdryORe7Aan9LMR6IJ4JznRx4LAXyOcGu1ww5x8wkpU+7lHCs3B+inbUX4aMleVAWjF0FWXSbDiFTPNyxXTSSr29oLKUVW3Wt5WaJNLTfh1pbIdMVcZjaqYUMubVNYVoOft9rLbQgxaIU8YW5HNC2F5eHWVYUR57a+2CeFpHaFe4JICqcOysbwXh3w0txtCDZw9hVBxAJjLJMx1lb8DOAsAOuSO6rEIFyikCZXk7dmfwFSIrqE2gLIDXMd3RJRshALL7MLJXmfarFUXRZfatNtyL0hrWUc3KawVIEmQpbya0J4cc7xwaLd+O17y+znxe1uHOV8JQ9u/l4b9t6L60g8UtiRIBRE7lfuwWp8vpLcLyKhdAXwM2NsNYAlAL7knH+T5DElBCGCQpKY0YWzYy4z8PD/1mHngUpzO92wb++GOaNREVEAEHKEHZ1HzlixAAAgAElEQVRtfux5WeHwoTiuJiXVC8FoiijdGpPsUMn7NqSbtpt4Ek5cQDccJSSslkXcNWxJNB1qx4JY2VpQjgtf+tkMt4trlMKOBOHCqUdmY2jPdnh13o4Gz8AiiLrgnO/gnA+P/BvCOX8y2WOqD6/8uC3mgp/ipiMEhpiRKBdFLSirwfuLduPnrdakAhESrM350l2EnRAqwmkLyc5XROOoos0ekrQf1wwrcmu2o9qQW+RwyWMyFGEn1re2gzkxQLy+Pr/UJvbUtkfkfDU9atHcWNmwrwyrc0ux92AVAJi5xF4KOxKEE8YYbj11AHYeqMQ36/YnezgEkZJMnr0VX6zeF9O6srsF2MOOpkslCbP3F+3GtGV7HflcrvtWBJNNfJn7lB0s+z5tDbJNx8s97Oie82Ul26shSdMpkRwzOXfLLFFhhPexrbAcv5r8M5bsLJGcL0uAiXMg4s+hqiAueOln7C6udCxTf3exIq4fUUBYPE+Q8UXii2j+nD2kG/pnZeKVH7fRHzuCcEHM3IoFTRFfclkIw3TFLEdp+rK9mLEq3xH+cx8HIvsWYkpO8Hdzxazxy2MTRVYBKUfHsG/HXQSW5YpJeVlK2JHDCndazbatnC+x3qGqcHiqvEYz92fmfJkhzKhvBdEI9pRUYU1uKTbvt2Y0vv3LTvxq8k+2sOM9n6zCzNX5Me1TbBcICSc1/EhhR4KIgtfD8PvxR2B9fhnmb21401+COFzRDA7NMPD891twzRuLal1XFTWm8OKSUNIkYcZFGQrLDYu6b5e8Lut4dsdBFliOWZLcqtMVMrczzO0cOV8uJSrUxGyrPITsnljCTHXM1Hpkcr6XWhyWiC+G8rsDgN3FVdh1oNL2+/xhQwGW7iyJaZ9quF18CfCS+CKI6Fw0sie6t8/Ay3O3JXsoBJFSiDCZbnDsOlCJXQeqXNdbsO0AvliTb4qfoOl8OWcyimWawaHpQnzBto7rWNyEi+mG2R0HkeQPWAnzVs6Xc18hmzCzizVZ0AERJ8sUdrCt6yae7MLMvm8unYejej5pr4Tg9v7qhj3ULM+IjQWxXiBSrFdchxR2JIhaSPN58NuT+2PJzhIs3x3bNx2CaAmIel1CJKlhwX2l1agJ6Xh7wS78e/Y2K4HdVm8rvK7lCkQEkm7V6FJnD7phOliSq6bW95KT6qGE/wwXgWSGmWSx6HDMDNtzt7Cja4V7V2EGxzjlZHvZlaM0iMTgVm/OmpWrOLYxKmBx/QQU54vCjgRRB1eO7YWOrf14Ze72ZA+FIFIGuWK3Zhi2sCDnHGe/MB8fLNptLVcT4F1Cg6KunpgBKSq8AzHW+ZIcLHNGom4/hs3FcCtDIUSQi2hTHTO3sKUq3izB5CbM5GXOcXJFeMnFWYn4o+YChl9Ty3zYuzLUhbh+zJwvmu1IELHROs2HG07sh9mbCm1NbgmiJSMXKNV0bhNHmsFRVqPhYFXQFFBqaFF2klR3StzcDGm72m52VqkJZ5HVkOI4uOVX2SvV2wWZ23aq6HJ3t+zrmivAGXZ0c77MBH5JEMoij4g/buJWTN5Q8wJjDjsK8aVZIXWAiqwSRExcf0JfZKZ58Z8fyf0iCMAe4tMMDl3nCGg6pi/PtblGumFAM6wwjVvY0RRI0g1KhDNjqXCvhvHCzllk34Y950vONYvW2zE8Jnto0S3RXlMcMNndUnO4wvuwiydr1qPTqbNCjk43jXK+4svekirMWJXneJ8BK0fQmixhtcaKBdP50sI5X+K6YhR2JIi6ad/aj2uP74NZq/Nda8AQRHOiOqjjw8V7GpU7ZDlfhinA5m0uwr3TVmPDvlIAYYEW0u3OmFzLS3WnTFfMsEI7an6VG47q+YYlZkKaU/SpIsrV+YrFMVNyzeSxyDMhBVaOmf349vpiVj0yESJ1a2dExI9py/bink9Wu7YQUsW/uA5q+zIgY5ZRMYv9UqkJgqgXN53UDz6vB6/N35HsoRBEo5izqRAPfL4W2worGrwPTSoBIQSYCK1UBMTMLivkqAot2V0QAkee7SjyvlSXyQ2rUr0lXHTD/lpt4UO5kKqZ8+UQUZJzpSyTQ1DWa3AsM5TXDEmMORL9DeeY3AQd0XhChj2PyxZ2VMR4uDND7ALYcr7s1703QSqJxBdx2NGlXQYuHZWD6ctyUVTesM72BJEK1ESmvQfq0Th+0/4yzJIKSwrBEpJmO4obS3UwvH9LeFnLgkp+V3gfIuxoCQ9duSHWlmOjhg/lZH5H+NCwQoPqvt1yvtQcLLdlapgqfByxzBqn2h7IHpKM7Nvl/VETwSnsGF9qFdOKGI8lB1HGvO4V54vCjgRRD246qR+CuoFPlu1N9lAIosGElNIOsfD+wt14dOZ687l9tmM4RCacq5qQ7HwZdufLbLNiHdsScpKbphtK2NF5s6sMaNheVCHlk8l5Xcq5KmEj9RwAtbejuk/ZgYo86s6xOep1ubhiqjCTa4g5JwG4tEMi5yuuuNWJcyxTiu7G+tFx5nxR2JEg6s0R2W1wQv/O+HDxnpi/+RBEqhHS7c5NLAQ1w/z2Lm8rO17CSasOCefLkIqlujtK8niCUsK9wSMOmIsTJHhv4W5c+NIvDoEmiyj1pinPLHSvKi/GpC6THSunKyZQBZLNFXM4bW6CUNm34TZOx1tBNAKzkK8k3gVqzpfb79yNAxUB7CmuMtcLKr0dKexIEPXkmuN7I+9QNeZuKkz2UAiiQQQlp+n2j1Ziwfa622eFdAMh3cC+0mpc8NLP2F9aAyAsKIRQEVW8RdjRKsBqiS8z7CjlcFn9F62EeyHq3JLaBYeqg6gIaLYQqBiTWVfM4SQ53Sn7jEZFtNkS4N1vwPK5iB/dWgHJM+bk44dziGDft4sgpJyvxOD4vdpCvvZrK+Tidrrxj6834dYPl5vXRk2IEu4JolGcPaQburfPwJs/70z2UAiiQYhv4VUBHbNW52PRjrq7N4R0jpBuYNP+8nDz4YJw82ERWgSczpcQXbIYMmcRSrMXRSjSlnAvwpmK42Abk8aV7ZzlJEJmrk10MeNW/kJTlhmSQIo26xFw5g/ZXBQXx8vat/14bi2PDOk1In44S3nIbmX40c1BrY3S6hDKqjXps2F9JgDK+SKIeuP3ejBpXF8s3FGMdXmlyR4OQdQb8e1biKRgDIn3Qd2AwS13qyZkT6oHoi8L53DZ3S3ZLbJmJIp8mkhtMGlKv9vNTmynhnTcipZaDlb0mYXcRQS5OR3O3C23sCOcy6Lc5OXyFyHDeg/EOuoMTMr5ii+1hXVN58uwP9blfAV1A5puOPuWUmNtgmg4V47tjdZpXrxF7hfRDDHFVzB28SW2qQzYBZYILQKS8xW0mgiry9zEjBrSCRlhwaHphuPG6DYmtXq4qBMmryM7X2bivIsYcub4OEtjqPlrtRVSdQ07uh1XCa+qdaXs6wOvzdtO/WbjhCPny+AorQ6hJqQ7c/FcSqW4EdLtE01EeyEhrlOywj1jrBNj7HvG2NbIY0eXdUYwxhYyxtYzxtYwxq5ozDEJoj60b+XH5aN7YebqfBSU1SR7OARRL4Kq86XrdW4jvrFXBjUAirtl5rXotv2KEhTyMd1mWgrxpz6KpPvwvpwCMSjCjsoMSjmMp9YVqz0BHjGVk3CbkShwCCWX46m5XxxO90W3hTvt4+Sc499ztmHW6n2O94SoP1xxtwzOcc0bi/D891scoWlZFH+3fj+e/36L6z5DmprraDmvQOqGHe8HMJtzPhDA7MhzlSoA13HOhwA4B8CLjLEOjTwuQcTMjSf2g8453l+4O9lDIYh6IXKlqmJwvl6btx2/bDtg3jyE82XldTndLZFcbP/mb59qb+8FaRdo1qxHw3Hzk1HDlW5ukTlr0cWxsJpuO7czWwfVEnZU88LkZYYi7MT+5dfkmmCOPDQpud7MNVPOjxLv44MpwqWm70XlARwoD1jhYJdyKN9tKMBHS/a47jMYmaCiOl+CVG2sfSGAdyM/vwvgInUFzvkWzvnWyM/5AAoBZDfyuAQRM707t8bpg7pg6rK99aqXRBDJRjhdseR8vTpvO2auyjev8SrT+bJXuAdk8WU5X2r1elUMhX+239hM58twd6wEjhIVkohS63SppSPEevKjPOvQEnT2R3ksbmMzRZTkpgk4d9+ec2mWpZoPZv7PWfYi1ubORO2o+YHiOrB1WFBCzDqPzMqN8rdfCC+1zpcgJcOOALpyzvcBQOSxS20rM8bGAkgDELXrMWPsFsbYMsbYsqKiokYOjyDCXDW2N4rKA5hDZSeIZoRwvqojQirk4ioJApphfosH3Jwv5w2m2iUfzJxqrzmdLzUUac0MM6TWQc4xirCjVUhVLhkh9u1+85R/ri2/qraEe7WxtrzMLKBaW9hRElimAFAcOvecLx6p/+V4S4gG4BC+Brf6i0YpNWFErvtoba+CmmG7/tXfVaJKTfjqWoEx9gOAbi6LHqzPgRhj3QG8D+B6znnUr2+c8ykApgDA6NGj6ZIl4sKpg7LRtV06Pli0G2cPcbucCSL1UGc7RmszxDlHTUg3byThbcKCLSC5W7qZ82VPuLe7YiK/zDnbMaSE/4JS7lZtVd3VcKXsKFk3TfvxZKdCdaDkZHx1VlvILbSolICQl5m1xGrJB3MTWI58MluRVfuMTYPUV6N45cdt6NG+lWPihegrau8uYM8rFCH1YC3OV8gwbI6pjCdB1led4otzfma0ZYyxAsZYd875voi4crUVGGPtAHwJ4CHO+aIGj5YgGojP68H14/rimW82Y11eKYb2bJ/sIRFEnQTNEKJdEKmISvPC/QKsptmxOF8huaej4njJNyU1fCiHQdWQooxjtqOLQBLHC7k5X0rtMTm5XVPcONdE/RjyutwKdsr1vcTzaIn+9rpkMPcph1aJhvHp8lwM7NIWfl84WBdSRL+tM4OacB/5YhGtS0RIFzN23ZenathxJoDrIz9fD2CGugJjLA3A5wDe45xPa+TxCKLBXHt8H7TN8OHluduSPRSCiAlxk6kxc77cZzuay6WwY1XAmfOlJhW71gDT1HCadRy1FpLsxNkSnNfvN/cNSEVWpQR9c59qgrRLzpeaTO/a29FFLKrulJvocy+yKh7twkwWfbXlg9nXp7BjYxF5XYbyexR113QptKt2YQjng4V/T24OpNnnNMpnK1Ur3D8NYAJjbCuACZHnYIyNZoy9EVnncgCnAJjEGFsV+TeikccliHrTLsOPicf3wbfr9yP/UHWyh0MQdRJU6nFFS7gPmE6UbgodtdREuJCke8J9UDNMR6c+tcRszlfktZ3Flbjl/eX4bkOBtX6UIquAcyakW3FMNZ9MFjTqDMq6csUETmEVg2PGpRIXSo6aW8FYuTdkWU0I+0rp705DEMLJLeSrR1539gi1fr8iFCl3a/hk6V5sK6yQvuC4X/cJ0l6NE1+c82LO+Rmc84GRx5LI68s45zdHfv6Ac+7nnI+Q/q2Kx+AJor5cNbY3OICPl+5N9lAIwqQioOGsF+Zh5Z6DttdF/lJdYUdZRIWUUKUZWtQtcaCGHWURpc72csPsEekSdiyvCYu+yojzFl7fnvMlzzpW88g0RUwBtc9aVGdLxpK7ZXuNO5c5wo21JNW7J9wbtkeDczz/3Rbc8PZSEPVH5AaqteSEIya7uupsWZ1brq4s+v/v87WYtnyved1Gu+6pwj1BxIFenVpj/JHZmLp0T9SpxwTR1OQdrMaWggps2Fdmez3oCDs6r9nC8hrL+ZLCjhUBkXDvvLmoFe7dRFRt1JbzZe6zlrCjvYaXXZi55d6oDpZb1X2rBpTsqtndKbdSE2qIEZCLqzodLLWNjRx2VJ0vebyl1SEcqgo5zo2oG5E3p76/YjKD3XW0h7aFMwbYBb5ucARC1udFre8FAAxGwhLuSXwRLY5rjuuDgrIAZlPZCSJFKK0O35SFcBGoLpZaamJLQTmO+/tsLNkZbl8T0qx6XVVKwr2c7iLEXI3Lt/5Y8pPUIqvyz2JfAc3AC99vwdSle5xhR1k8Ka5EyGXWmVony57XZXfTanPMbLXDpIRswL1PoOqKcWk91aGTZ9ypN3sx65HqfTUMMdFBfV/lCQ1q/055HfXaksPu4vPilvP1iO99HDHvDqvFQRwh8UW0OE4blI1u7TLw38XuFY8Joqkpi4gvUS5CracVrcjq1oIKcA7sPFAZXi7X+VJyvmQCinPl9q2/NtQwovyznJ82a3U+vt9Q6FjfVjVfLZLq4nypmsW1+r2LK+aoxeWSR6Yrgsm2vpIXxrn1s3o8jujFWc3cJMq8bxBmwrxSykOPOF7yMvWzI4cr1Vm35VJoXM35ymGFuMb7A4y0NoAn/lKJxBfR4vB5PbhybC/8tLUIe4qrkj0cgkBZjRBfBq6YshDjnp4DzrkzlKcZeG/hLrNPnUjgPlgZDC8P6aYoEG6Zq/hSbjTR6odFw83AEQ6CXJOsJqQjIE0CcAs7WonzTncqGvaWR0pIyWXfbqUm1EKq8jmpOV+27aLMsnTLB7Mn45Pz1VDEe+comiu99zp3vw50A45lwp2tqLHEV0D5nNzjmw4DHhSMvCsh50Tii2iRXDGmFxiAj5aS+0UkHzPsGNKxcs8hFJUH8NmKPGfCvabj+w0FmLU6HwCwrzTcLP5gJJeoUgpbRqvYDThDLNES+RuCJb50BDQDgZA1yzKWfLJYkDWM6pzVVufLrWWRG85Ee2uZI//MDG/JRVaV0Fek0j3V+2oYwjW0aqzZnSzZVbTC2JbwNWvY6QZW7DlofvmokJwv+QvIUWwPLvL8grf1c2C06Z6QcyLxRbRIurdvhTOO7oppy/bG7YZAEA2lrDp8E6gO6ejSNh0AMGX+Dsv5kup4VQV1lEScrv2m+Ao/l2cY1kYiDZgaKewonK+gZg87xhNHLS+X3o5ywU1BbTqotgKs6uxKubG2GnaUS2PIdaqIuuGcY9qyvagKao5itaq41bkzF0+eiCHW+3nrAVzyygKsySsFAJTXWBMgZPH1Z99UlKMV/qOdn4iIIwASX0QL5urjeuNARRDfbdif7KEQLRwz7BjUzTDhwaqgoxF8UAuLr9LqEEK6gXwl7BhLyC7RyGFH8a+2npSNxXJBLAfKWmZ3w9yS8d1QQ5Fu4UpL9FllDxy9HSVhaBgUdqwPu4ur8OfpazB7Y2GkjZD8/iqTHQzu4nIajmUHKgIAgILIl5byGueXleM9G3CGdyVe1S5AGdqkbJFVgmi2nDIwGzkdW+G/iyj0SCQXM+Fe0636XEHdIb4MDlQEwuseqgqZzldJxPlKBUTicmUwnH8W0KL3zYsHTifKOpZamqCxx5D3ZeWRiWNxR46ZCIGJnKQEvg2HHfKMWkeRVaW3qG5YM03VWa+aJHpFmPFQdfjzUqGILwYDD/o+QB7vjLf0cwCkboV7gmi2eD0MV43tjYU7irG9qCLZwyFaMCLnq6xag2ZwMBaeregWEhe1oorKAygsD9i2TwWE8yXP4Eyk8yWQQ3zxxhauVMRebc6XrlS/J+crdqyQolROQhHTtryuKPl2cqK+KL8iPi8VQbv4utCzAMM8u/Bs6AoEkAYA8FLYkSDiz+Wje8HnYfiEKt4TSUSEHYsj4cOsNukwuD2BXiBCJVsKyh0z9lIJcU4VMeahNZZEJrPLokktoKr2GZTX1+RkfIMabNcHWciKUhJqyQh51qMwidVOCaKxNmCVXymN5FjKn5t0BPFn/1SsMfphhjHOfJ2R80UQ8Se7bTpOHpiFL9bsM21rgmhqRMJ9SWXYyeqcmVbnNmo1/FRDOF+xTgJoLInMd3Od7SjNZBSP0Zp9y+4LJd3HhpzDJVxFrry/Ien9VcOO8jIR7hUh/UMuYfobvd+gJyvG37VrwCVplKiwoy8heyWIZsT5w3vgnk9WY8WeQxjVp2Oyh0O0QEQYRMxi7NbGi2IcQkdWjg6oQGtWg0wE0JrVoBUCaI0ABm7y425fBdI8ADd0eMDBYIDDgwD8CHA/AvAhgDQE4EcFb4VDaINDvA0O8jY4hDaoQRqAxNxchLtwOGgN19mOatI3d2u6bbliIoCscw5Pgt7zwwm3chKOWl5uy5SQJOdwtNwqU8L0nVGKW30z8L0+CouMwbZliertSOKLaPFMGNwVaT4PZq7KI/FFND25y/FUzd/QLq0MHVGOjr5ytMutBjLq2K4MgA/Q4YHOGAx4YMADLwyks9hywGq4H/t4J+TzLOTzzshHFnJ5FvJ4FnYY3bEfndBQcVZWkzp5aI2ltiKruiywlGr5ujzbMmKm6AaH39skw27WqBXrDW7NZFVbSsl1vjQlJAlYiflVQZFwb7827/R9hlYI4CntKsc4EqS9SHwRRNsMP84e0g2frczDn885Cm3S6WNBNB2GoaODcQgHeVvsRDccNNriiD698P0uDSW8LQ6hDSp5BqqQgWqko4qnowrpCMCPnE6ZOLJLW5c+pRxp0JCGENIRQgaCaMOq0ZFVoAMq0IFVoCMq0JGVozsrRg9WjJM869AVB+Fh1k2rnLfCdt4d23lPbDJ6YR3vh3VGP5SjdZ3ndTjVz5MzEqLVmnJtrK1brhgMuzAjasfsxyjldTmK2EqhXPW9l3uEhiLXoppwDwBHsDxc7Z2N/+pnYAfv4RhHohpr012GIADccGJfzFqdj0+X5+L6cX2TPRyiBVGeNRIXBJ8EY9ZN/v+OPAofbN9U57aDurZDht8tdZchCD+C8MOcx8sj/2rBBw3d2EH0YoU4guVjAMvDAJaHEz3r8BvvT+Z6O4xuWMf7YblxJJYYR2Ez7wWjhaQQO/pFSm6X2VhbccXC6zDba7EyZ1MBqoMGfnVMYiqtpyrifRXFT+WcOivsaJ8R6bYMsJwvEXaUxdcDvg9RjXT8S/uN6zgSpL1IfBEEABzbuyNG9OqAdxfuwnUn9EnYDBeCUBHhuaw26SiKlI7o3CY9pm2P6tYWheU1cRuLBh9yeTZyeTYWYohtWSeUYZhnJ4aynRjm2YnRns24wLswfA68NZYag7DYOArzjeHYxHshUblkyUZoJ7UXpVxqwuHMSG6XW60vTTegc450nzMe+fYvu1BaHWpx4kvN+ZJnizrDjnISvrN5u9qmS/w6TveswBnelXgidA1K0M51HJTzRRAJ5uqxvfGXT9dQ4j3RpIhv4V3bWeIrq03tsx3TfR4ENAODurVtslIOJWiHecZwzMNwIFIBoyeKMMazGWM9G3GcZxPO8K/EA/gI+3lHzNePwTxjOH4yhqEMmU0yxqbASrR3OmBqkVXrEeDMcmlUnvhyI7YVVuCDm49zLNONw7tExYb8Mgzo0gZpPrtzavZqFM3YefTejrIrVltUt1Kq65WOIB71vYetRk+8o58ddZtEfREn8UUQEc47pjsenbke05fvJfFFNBli5lXXthlYh3D5iCzJ+ZLDkYKeHVphx4FKHNWtLTYmseREHrKRZ2Tjf8ZJAICuKMEp3jUY71mDs71LcblvHkLciwXGEHxtjMX3+igUo33SxhsPTEGl210YzuEoNREyZ9xxGC5hx7d/2YkTB2Qh/1C12SrK7XiHq/g6VBXE+S/9jH9eNhwXjexpWyY3ww4/d052kLsNxPIWyZ+jW7xfoI+nEFcHH4BWixRKVNixZQTpCSIG2qT7cO6wbvhi9T5UuxS3JIhE0Drdh5MHZqF3ZyuJPbutJb5auUyN65/dBplpXvTNykTrtPByv9e6S/gSdceogwJ0wjT9VNwWugPHBl7DJYG/4k39XPRl+/G0/w0sSb8VH6c9jiu9c9AOlUkZY2Nx3Pilel9qkVVbrSopZPbT1iIAwN++2IAZq/JqFVhyovnhRmVQh25w15mxtblbal5XfQvY5rAi/NE3A1/ox2GBMbTWdb0J+iyR+CIIiUtH5aA8oFGzbaLJGNGrA96/6TgM7m7lnHSSiqy2Tgt/K5cF1V1nDsSM206E3+tBq8jydhl+aZvk1zLQ4cUKfiSe1q7G+OALODfwFF7SL0YWSvG0/w0sTb8V//ZPxqmelfCi+XzZUUOLmi3s6F6GQm5/M29zESa+uQSb9peB8/D2msFtCeIycoHWw4XqoI6lu0qs0KLLuYv3MqhJ728kX84spKo787ti4UHfBzDgwd9D19S5LlW4J4gm4Ph+nZHTsRWmLctN9lCIFkariGBq5ffC7/WYOTBCSGVKJVC6tEvHgC5tbcvbZljLhWBLHRg28j54QbsUZwafxfmBJ/ChfjpO9KzDO2nPYlH6bXjQ9wH6sX3JHmjMaFLfxvCjlHBvVlmXa1SFlwmXpzTSo1PX7a1zVMz2OgZ3rczeHJm5Og9XvLbQLCqsu8xCEIJKbp4dLaxbn8btJ3vW4FzvUrykXYh8ZNW5PoUdCaIJ8HgYfnNsDn7ZfgB5h9xzMIiWCWPsHMbYZsbYNsbY/fHef0ZkppspttLcn4dfk4WWEF+S85XujYw5/DwtUd2BGwTDWt4fj2nX47jAK/ht8B4sM47E9d5vMTf9T3jP/xQmeJalvBum1pWSXzPdMZcaVaL+WUBKJNd0HtW9EdXbv99YgOOfmt2si9dOnr0Vz327GRUBPdy7NDJZRD73grIafLYi15Fwb5/taH+MtXG7Hxr+6nsXO42ueEP/lWO5EFqyy0xhR4JoIi4dlQPOgc9XkPtFhGGMeQG8DOBcAIMBXMUYG1z7VvXDdL5M0eWzPZedLzkPTPwsO1+ZYtvIsnRfav6pD8GH743R+EPobowLvIRnQ5djgCcPr6c9j3npd+NW7//QGaXJHmat6NKNX63vpbmEHYO6vX6VcLZU96ekMhguQWGEw22FZTWoCRlmY/WmYm9JFc58fh4Kyxpf0mTB9gNYsP2Aea7meyC9h5+tyMM9n6w2Z/Ga5SSk2aRuVexj4bfeL3CEZx8e065DEH7HclHqw+9NfG/H1PxEEkQS6dWpNY7v3wnTl+dSs21CMBbANs75DuMqh0EAACAASURBVM55EMDHAC6M5wEy/Hany/EYEV9pPo/t27gQZXLOlyrg0l0LsYZJFWF2AO3xsn4RTg78C78L3o2dRjf8xf8JFqTfgSd9b6JvioYkZddGU8SX3ExbaCvhfNWEdHMbzTCgGRxBzcDPWw8gpBsY/+xcfLYinIwvlgN2odIUbCuqwLbCCuwuqWr0vnSR32bYBWhIeg8Dmm5bFpTbC3HV8Yo93NiP7cOdvs/xhX4cfjRGmte9XOJCfE7k1xJV8jE1PnUEkWJcOqoXdhVXYdnug8keCpEa9ASwV3qeG3nNBmPsFsbYMsbYsqKionodQLhUIoFeiC0hoNQwpLmdS86Xuq5cvFOEVMTNJyOOjQbjEaHR4cW3xhhMDD2AMwLP4lP9ZFzqnY85affiZf+LOIZtb/xB4ohbrpZb02017CjEl65z6Dy8nx82FuDaNxdje1EFyms0FFUEIq6Ys6F3U6G7VIxvKCE9HGIV+7TyuaRWQJHXxPsUlMKOas5X7In2HH/3vYkA/HgsdB0AoF2r8JeVdK/H8ZmQna9EFVlttPhijHVijH3PGNsaeYxaIIkx1o4xlscYe6mxxyWIRHLesG7ITPNi2rK9da9MtATc/gI7/vJzzqdwzkdzzkdnZ2fX6wCiTZApnBxOmM/2ukAsFzcTQHa+IuJLcr6E2MpIQEhSLZTZ2Fyz7bwnHtBuxkmBf+E/+vk42bMOM9Mfxof+J3CSZy3q7JfUBLiJIUexVSmhPqjbnR0tEnLUdG7mQJVVR3KhdG62zlHdtKZCdfMagwixms6X5P4JQmZYVo88t8KO9RddYS7zzsMJ3g34u3Y1ihCWKO0jnxe/5CSLLylpUtmWVA473g9gNud8IIDZkefReBzAvDgckyASSus0H84b1h1frtmHqmDT5lgQKUkugF7S8xwA+fE8gCqYMtNV9yr8Db2V4ny19odFmXC+/F5mih4350uIrVaKCJOXNTTJWBxXbC4Lwsbcw4rQAc9qV+KEwL/xROga9PPsxwdpT2Fa2mMY51mHZIqw2nSAVYA1esK9YSbcG1I4LuKKRUSZSLoHYk8ujxeygGwsIsSqFlCVXTUhttSwI5dmjNaHLJTiQd9/sdg4ClP1U83X20mfF+F0mc5XMwk7Xgjg3cjP7wK4yG0lxtgoAF0BfBeHYxJEwrl0VA4qgzq+WUc1vwgsBTCQMdaPMZYG4EoAM+N5ADXsaD76JVHl8zjKSMglKnye8I3Eb4qvSM6XnNdihhvtj/IyuWBrfUiLiLw2Ig+tlTXWDJe+hfWlEq3whv4rjA+8gIdCNyCHHcCHaX/H1LTHcbxnQ6P3H28022zH8GtCPMk5X2K5KTxClismXC955mRTYhWMbXy4U48IL8v5srdoApzvQUiTljXg3P/qfxetEMADoZvAJckjZgen+TzwRa53M+dL+hKRynW+unLO9wFA5LGLugJjzAPgnwD+XNfOGpMzQRDxZGy/TujdqTXV/CLAOdcA3AbgWwAbAXzCOV8fz2OYCfd+91ITvkjtL9X56pSZhotH9sSJA7KQ5gsLL79Pdb7kpGK74yU7X+LnhoYLxXHEja1tus90wdRxN4Yg/PhAn4BTA8/jkdD16MMK8HHaE/jI/wSOZVvidpzGIud8mW6PcL5ClrslBI4QHDWm88VNcWaVV2jinC/D6U41FM08H7u7JZ+TEFsiPCsn1Wv1SLAHgPM8i/Br7yJM1i7Bdm5P0RSurF/K+RLXvc8UX4nrFBFTJT7G2A8AurksejDG49wK4CvO+d66VCTnfAqAKQAwevTo5Af0iRYLYwyXjsrB899vwd6SKvTq1LrujYjDFs75VwC+StT+030eMBa91ITf60Ga1+NIuPd6GF64YgSAyLd4j0vY0SW0aIovOSRpzvbyAtDgYdHDaqLnZJrPYwoKkfMlQqbpfi/SfV5Uh3RkJGBWZQBpeE8/G1P103CVdw5u9c3EZ+l/xdf6GDyrXYEdvEfcj9kQ5HBZQAk7irBi+LWw4KiRnS/DyvsCkpDzJbVPaiy6Ya9pFpTKbbzx0w60SvOahWmFEBXvU3gMsR8rC6V4wv8WVhn98ap+vvl66zQvqoK6GaZP83rg84iwoz3nK5HiK6ZPA+f8TM75UJd/MwAUMMa6A0DksdBlFycAuI0xtgvAcwCuY4w9HadzIIiEccmxPcFYuPYMQSQSxhjOPLorxvbrBMBZakLkptTWOkiEHEXYUMyYFMKHMWsmlwg3CsHl9TD4PSLsEt7eV4sDJgReurSOeE2EHdN9HnP/GQlseRRAGt7Rz8H4wPP4Z+hSnOxZi+/S/oInfG8iG4cSdtxYkVsPBXX3nC/AEl2BWpyvps75Uss7NAYhvDRddbc4ZqzKx1dr95nnF1RaCNUPjr/730AmAvhT6A/QYV17oiRLhs+L9IhT7Ag7Rj4vngTWg4hHD4qZAK4H8HTkcYa6AufcbKDEGJsEYDTnPO4Vogki3uR0bI1xR3TG9BV7cfvpA+BJUsNiomXw+nWjzZ/PGdoNHFwSXx5MGtfX1oBbJc0bnrll5nz57c6X32PN7FLDjl4PM5eJm4/fwyAa2ng9DLrBTacrzedBIPKIACLHiYgvcYPze01Hrymq7FcjA//WL8GH+hm4w/cZrvbOwcXenzFF+zVe13+FKmQkfAxuyMnqQdPdsud8AW7Ol2FWdlcLuDYV8Z/taLjmfIV0AyGNmxXtzZyvBoiviz0/4yzvcjwRusYl3OjD/rLwtZru85huMWC5wP4mCDvG49PwNIAJjLGtACZEnoMxNpox9kYc9k8QSeXSUTnYW1KNJbtKkj0UogUxtGd7/Pnso8yQiM/L8NtT+uPsIW4ZIGHC3+SZ6Vi1Trcn3Hs9zLzRqLMdfS7iS3a+xHb+WmoiWc6XlWuW7vPC7/HY1ks0xWiPR7UbMCH4DH40huNu/6eYl343rvDOhQdNmzMFiN6O4Z/VhHt5JqMQXdYyZ4/Dps/5ip/4EjM6nTlfYfEV0A3z/KxSE/U7bjcU46/+d7HEGIS39HMdy0WJibAr67V9XsSXh2YhvjjnxZzzMzjnAyOPJZHXl3HOb3ZZ/x3O+W2NPS5BNBXnDOmONuk+TF9OifdE0yNCIrE4RyLhXoQN1YR7WWBZOV+SMPMqzpc069EUX6IyuNfaThVtIuwonC+/11qnKc3jXbw7/hi6CxcHHsNu3hX/8L+OGWkPYRTb3HSDgL1AqFpqwi3nyy0ZX2wX0jkem7UeOw9UNnpclQENe+uoXC9ChHEJOyoh1KD5HlgV/oNK2DFYD+fLAwP/SnsZXhj4c+h3MFwkjgg7pvu8yPB7XBPuhfhKoPaiCvcEURet0rz49THd8dXafWYRRIJoKsSNwBdDAoo52zFKnS+v1xJYas5XWJjZhZV8TL/idFnumCWs/KbzJcKOHmT4vfBLoZ1YziPerOQDcWnwUdwR/COyWBk+TX8ML/pfQlc0jZtt6+2oVrg3uDmLrybkdITUWZL7y2rw9i+78ONmt/Tq+vHGTztxyX8W1Dl2oO4aW/mHqs1zUqkJ6eHwqc5dw6wiDyyo6Y6wY1CLXXzd5v0fjvNswsOhG7CbuzvENufL5w0n3Cs5X42tdxcLJL4IIgYuHZWDqqCOr9amZn854vDFcpzqvhGkRZLtRbjRLLzqY/Awu8BSZzt6PZZAMgWfzfmy8sAAS3x5PcxswZJuOl+W6AsXh/VIAi1ZeZMMM40TcXrgOfxbuwjnepZiTvqfcKv3f0g3M9sSg8HDM0MBZ8K9XLld7Wsou2Ii96kmqJvLGsvBqiAOVdV+7laJi+jHMwyOs1+cjw8X73EsC2g6jn9qNmatyXc6X7qV8xXUDYR07iiyGiuj2Sbc6fsUn+kn4XPjZMdy8YXCbCvk9+C8od1w2lFdHLMd/aky25EgWjqj+nREv6xMCj0STY4QQv4YHKORvTtgRK+OuHBED7w9aQw6Z6YDCIsun8cT+eeecO+W8+V3y/lSlrlt1yrNhwy/B+0y/Ej3h8OgvhhmUDYF1cjAP7XLcWbwGfxkHIO/+D/Bd2l/wVmepWiKSvlujbWj5XzJyeZBXVkWh9wvuap+NGLJ+QoZBsprNBRXBhzLqgI6DlWFkHeo2movpPRv1CKvBTXDLKQqhGgstEMF/pX2MvbyLng4dIPrOsLV6pyZBgDITPPhnrMG4drj+5hiS222ncgQOYkvgogBUfNr8c4S7CmuPUeCIOKJEC2xOEYP/mowHjl/MNpl+MPf6CPbeCPOk5yfJRyvDKnUhKPYZOQ5Y3CEFq0blFN8pfk8+OR3J2DSuL5I93nh83pMxy15zpedvbwrfh+6G1cHH0AN0jAl7QW8538afVli3W2H8yW12xHCSjzKITe1AKtc+b2h6Aavs22Pm/j6fGUu/vHNJvO5mRfm4saFpBZCmpJoH5BzvvSI+6XVN9zI8ax/CrrgEG4P3Y5KtHJdS3zJ6JediSkTR+GcoVZYUu3t2CwS7gmipXDxyHDNr+kryP0img5rtmP9/1zL7pQvklBvOV/28KOcu6XOdpQFlim+pNCkdfOy6oQdk9MB7Vv7kZnuQ+s0ryOkmSosMIbivOBT+GvoOozwbMO3affhbt/0hIUiHc6XVHRUFSVy6C2o5IXFY9ajmElYm4vmVmpizqYizFxltTbVlCR52zGksKnYhVlAVSomGzLCwiuk1098/cE7C2d7l+Fp7Sqs5f2jrtdK6t5w1pButs4OZm/H5jTbkSBaCj06tMJJA7Lw6fLcBjV4JYiG4K/HbEcVM8ndy+D12p2vVkr1e5vzpcx29DArBJOmzIj0Svlc6mwxALj3rCPx3GXDzXUsN866sYnj+BIZ56kFHV68o5+DMwLP4WtjLO70fYZv0+7DqZ5VcT+WY7ZjxH0Cane+xM/VoYaVYHBDk3KuthSUg7tUsTfbCxkcM1blYUdRhSmSDlYG8eSXG6QxWeOtDGiYsSrPdLLkZHwrt82adBDSeaTUhF2I1sbJnjW41zcVM/UT8KZLWQkZ8WVDbpot8KlfHijsSBCpxaWjcpB3qBqLdhQneyhEC8Et+b3e2wrnSxJYZtjRVobCmc8FhB0Aj+JcmTPCGMyEe7dcsT6dMzG0Z3tzHZG75rOJr4afYzwpQkfcFboNVwUfhA4P3kl7Bq/4X0R3xO/zroYd3QSWOevRLecr6BQ69eUf32zC5ytzTVdqfX4ZznphPlbutboB5B6swuIdxVJ/So77P12Lj5bsCRdE1Q0s2F6M13/aiQ37SsNjkkKh367fjzs/XoWdxZW2c5LPXTyG9HDoNagZDnEajRxWhMn+l7CV5+C+0G8B1H7tiJBiusuXGLPOl89yxwAktKg2iS+CqAdnD+mGthlU84toOhqTqC5EjZXzZeVedW6TBg8Dstumm+uozpccdhQhGLUWmDyT0RRfLu6C12sXb7L4sgq4psYtaaExBOcE/4FnQlfgNM8q/JB+L37r/QI+NL7UjJrfJSeWq6+5CjNRnkE3sHRXCZbvPljvMcxclY85m4qgR9yzovJwovzBSivU+tq8Hbjj45Wmyy9yssK1uMI5WkIAVgcjIsqwO18AUF6j2c4tfH72Gl7ysmqX90UlHUH8x/8CvDDwu9DdqI6hc0GG0jpIRnW+KOxIEClGht+L84f3wFfr9qG8JpTs4RAtgF6dWmN4rw4Y0qNdvbf1SeE8nydS/T5yo8np2Bpz7z0V44/Mhs/DwoVQvWr40AoRms6VElqUQ5lqY2LbWJSwoywmaxNtySIEH17RL8SE4LNYYAzFg/4P8WXaAxjDNtW9cQy4NY4OqM6XJEBUVyxkcPzj603453f1LxgbFk9WNXm3MGdlUEN1UJdyviLuVER0BSP/AKAqGBZYcihUnIsQYdUhF5EZMhzLxPrRwqoMBl7wv4IhbDfuCt0atZ6XisjxchVfas6XL/EFgVPnSieIZsJvjs1BTcjA1+v2J3soRAugXYYfM/54Io7IblPvbf1SayJztqPXEkF9OmeCMWuZ6gCIZH/GrBBMmkvCvTNXzMX58thFl935cs6uTBVyeTZ+G/oTbg7+CZmsBtPS/4bn/K+iM0obtd+gS2J5rc6XWmpCM1Cj6agKxl6SwdxXJGdLCBwhfuSE+ZCjIKohbcvN0KM6JvVchJhyCzuqkwjkZdG4zzcV53mX4EntGswxjo35nM0vBi7iy+/48kBhR4JIOY7t3QF9OrfGjFV5yR4KQdRKh0w/Wqd50b19hiPnSw37/X97Zx4eR3Wl/fdUVXdrly1Lslbvu41XGbDBNmBDzGoSFkNCIBMShgmEMCRMCGTIOllJMpMJ3yRkISHJDJAEzB7CYiAhEDCYxWAWYzC2MbbxgjesltT3+6PqVt26Vd3qVu/y+T2PH0ldt7pOt9rdr8459z3hPl9Kz5ezPMxqQu8HCxNf+mxIn4GrVpIslfKjyoOJOVjS/X38d+/pOM14HA/HPo/zzAeynhUZT5n5St5w35sQ6OkVSV3lUyGFl1cC9UYXedezs156A7wUXQnhnXcgpA9NP6Zm8brdzJezwSBNAXmu+RAutu7CTb3H99tgr+OWHVP8YTByWBXGNddgUoudZeayI8OUEESEZTPa8Pc3dmDrnoPFDodhklJXEcGqLy/BsRObAz5f6m5DPfOljzRSz4toO8JUQZc68+VvqlfHDEW1hvt8jnXJhoOI4Qe9Z+PE+HewJjEa34zciNuj12IGrRvwfaomp57QCWa+vP4qL0vV05fIaPyOJN5rlxz1zJXeY9bbl3B7vrxB1941D2glRTVzJtdL8RXW89WtCcpULDSexzesG7Gybwa+1ns++muwB/x/YKRTdhxWHcWDVyzChBY7y8xlR4YpMZbNaocQwF3Pv9P/YoYpIlVRyy0tWiEjhOT3ltKM79pIKFYT5PZ8BccLGdp4oWjIKKSUo4s0qwn1QzNV8qFYGu0N0Y6P9VyNz8YvRQvtxO3Rr+Bb1s8xBHtzcv/dIT1fYcak3b2JjDNfCSeb1aP4iyVz1E+IYGlQliwBYL8jrD4IGXkk16dTduzPZX82vYafRv4Tr4lOXNpzGfpgplwvUV/jqRruI9ofBPL1zJkvhikxxjbVYHpHPVZw6ZEpE7y+L080SWRmK6KV/6LKri+pleRtMaXhXoqnOmeWZLUzW1JFN2kN6/kKE2am9gGo/liMId0ehLsS83Fc9w/wi76TcLb5KFbGPo9zzYdAWZYiU9tQeEKnpy+BgxlmvqTg6XGa7gFPPPnEV8DwVc242WJJNtqHlR3l+v3x4G5HSYitWICp9BZ+Hf0e3hVDcX78qqQO9mGor6MK12oiKNzcbLDMvLL4YpjSZdnMdqzZvAfrtuXmr12GySefXjAG588bmVHPl+rzlWy8kJr5WjC+CTd+Yi4mDq8NXF+/rj/z5r/NVESVXoJUxVgplCf3oxLf6v0YTop/G6+KTnw78kvcHr0W0+mNAd+nFEhqQkjeppb4evoyz3y52SY189UbLBu64kvbmag22kvRlbLnq7vPd41MGEubcVP029iDKpwXvxrvoT6j89X+rmMmNuPsrg532LyK+7qToku+7vOokFh8McwAOXVGKwwCVqzm0iNT+iyb2Y7Fk4cHdh0CcN3vkzXFq2XHoM+Xv+fr2EnN7loV3efL73Cv94MlF1imJhrD1hSD10Qnzol/GZfFL0Eb7cSK6LX4D+uXOStF6i74vX22KenBnr5QZ/pk9PSqmS9/w306zf89ir/XAS2rFe8T2Lb3IDbtOuDedsB17c8sQzeatuD30W8hAQPnxb+Ed9CY0fmAP/M1vbMe3ztzRugORv11ZCp/dOQLFl8MM0Caaytw1LhGrHhuc0ZvfgxTTMIzX4ZTlrQNUw13jbfl3nWxDzTjG+56vUQYdt2wUULubkcjpOyofViGnVessURBCHcmjsJx3dfhV31LsdxciYdjn8dyc2XWpUiJOtuxp08gIdIbNbRzfxzHXvcIXtz8vnO+cE1R1Z6vB17einXb9ipO/EH7CynS9nfLzJctwnr7Evjm3Wvx2f9bHfD5yiRDN5k24Nbo12ChDx+LX423RGva56qo2dVUrxFL+4NALs2n+Arm3xiGSZvTZ7bj8394Hs9s2IWuUQ3FDodh+uWo8Y3YtOsDtzkeAM6Y3Y7OhiqMb65FY000YIgaVnb0esiU8mSKDzhvt6Mn6AyyS2vpZL7kWn+vmpd961bWFJt9qMI3ez+OP/Qtwtcjv8Z3Iz/HueZD+GbPeVglJuXkGnHHcR6wS3phjeQqG3bsx5vv7ccaR3z19CUC2bSePoEv3fYCjp/SEuj5OqiUHWW5UooudbbjrgNx7NgXd0V6puJrFr2OX0e/i/2owHnxq7FetKV1noppEPoSwld2TJUdXTazDcOqo4GMF+92ZJgS5UPTWlARMXD7am68Z8qD2SOG4rtnTveVBi89bjyWzWzHlLY6fGrBmIDQMg1yG911QeaNLkr9SaVnvtSRRZ74CtkMIMudmnhT79PSsnGlwqtiBJbH/x2Xxz+D4bQbf4x9HddH/hOdtDXr+1a9sdIRNrIvS4776Q3x+Yr3JvBBvA8fxHsDDf7+hnt/z5fXsC/Q3ZPA/u5edyNAJoPA5xtr8Lvot7BL1OLs+FcyFl56VjfVxg2VsU01uGD+KG8tlx0ZprSpiVk4YUoL7nlxy4D8dhimFHHnOCqO82GCTPZ7qZmxZOjnGwSlvOnvNYuEZCykrtJ3adrrgx+2pQNhReJoHNd9HX7YcyaONZ7Hg9ErcZX1v6jD/gHfq9xFCHjN8CnXOxmoPQfl+B5PRKlN/LZ9RSJgMeHueuxRdzv2hZzfh/3xXrdRX5Ym++Mc82H8JvJdbBJNOCt+LTaJprTOU9Ezp6ZhuH80ZNIXqDfe5wMWXwyTJafPasPuAz149LXtxQ6FYXKC3pSvZqmiys6wqGUgatneYakyC4CalZAji4Ku+WEmq6Z2XnjPVzBjVjp9YDYfoAI/7vsIjun+Ie7sm4+LzHuwMnYFzjMfgInMdwKqY4X0IdSPvLoN775/MHS9nEmrutcfVJzmexMCB3v7gpmvFHMYXdd9Rbx5OyFTDyM3kMCXrd/iO5Ff4PHENJwZ/yq2Y2haz4FORC9tk/06tTO36b8e5FIuOzJMCbNgfBMaqqNYwaVHZpDglgOVRnqvROgJpP86ZxY+MX+U3ZCfduYreJ/6sG0rJPOVzJnfd36KXZKlwjYMxZW9F+PU+DfxWqIT34zciL9E/w2nGn/PqClfFTUHe+xdjzc98RZ6+xK46KZn8KvH3/Stl5kyWXbs6VV8vhzxtE/pzwr0fEnfrm7vuqFlR2f9rgNx35ow6rEPv4hch09Z9+HG3g/hwp4vYC+q0n4OdLwxVd5rxUjjDwMd+YcBlx0ZpoSJmAZOnd6KB9duxR7nr0qGKWf0zJdddrSPRRR/r0UTmtDZUOXzCEtGoInf8Mo73kxHv+jznReySzOiZcNUf7BSsqEI4yUxGuf2XINPx69ADyz8d/QnuC/6JZxgPA2g//4o1brhYE8f/rzmXVx7x0t4/I0diPclsE0bfSb9tmTmqyfhNc7LrJYUZh/0JAKjjrpD5k26DffKyCOZKZP3lYwuegX3xr6EBcaL+HLPP+FrvRek7VyfDL1nkIjczFempNPHmA0svhgmB5w+qx3dvQn8ec27xQ6FYbLGFVpqBsHNhnm7FSVpZb60pniDvCZ+fSC3qd23+jU88xUsScp4M816FBbCA4kunBj/Nj4bvxQR9OKG6I9wR/Tfsch4HumIMMAWYmu37AEAvL3D7iN7b1/ct0bPfPX2CdfnS2a+9nbbwmyf8kek7nCvIneWHlB2O/bX/G8ggUvN23FL9BvoFSbOiH8Vv+s7Pq3H2R+uP50sQ5PXm5gp9uuTxRfDlDQzO4dg5LAqLj0ygwK94d4gz/srYgVFjaWIs2Toux2JKFCKtLTeL/U6YZmswExInyksfOtLNAEGABAwcFdiPk6Ifw9X9lyEYbQHv4l+Fyui/46lxlMw+ilHHuzpw8tSfO08AAB4b1+3b40sF7riK8Tna99Bf1M+4Jm7prLwkGuESF1mnEAbcWv06/hC5A+4KzEPJ8e/hRfE2JSPLRMsV8SrO2o9g99MMJSexHyQlfgiogYieoCIXne+hnbJEdEIIvoLEa0lopeJaFQ212WYUoOIcPrMdjyxfkeg0ZVhyo1gwz0CthC6HYTZz6dJYLekcp8BERYyXshbGzymz4skosBOylItP6r0wcQf+o7Bsd0/xNU9F2II9uOn0f/EA9ErcY75MKIIb2s42NuHV961nfQ37vwAQFjmy192BIKu+VKY7flg4O0T3SG7vmOI40rrZtwTvRpj6B1cHv8MLu+5BPuy6O+SqF5eEW3DhszIDiT7OdDz0iXbzNdVAB4SQowH8JDzcxg3Afi+EGIygMMBbMvyugxTcpw+qx1CAHc+z9kvprzRxZDdtGwfC9tZOKqxGqMbq1PfJ+mCjtzG5oCXV5pN9XrGK0wsGpp4Kwd6YOF/+xbjuPgPcEn8MhxAzN4NGLsMV1i3og3v+dZv3vUBtu+1M10bd9mZr537u9GXENi8+wPc8dxmHHAyX/tDMlMyq7XXWRMmoAYCIYHTjMfxQPRKXGLdiRV9R2Fx93VYkTgaQHa/Dz2Tan/vL18bNPDeLTt7mr/XTLYO98sAHON8/xsAjwD4orqAiKYAsIQQDwCAEGJfltdkmJJkdGM1ZnYOwe2r38FFC3OXSmeYQmNqWSZZdiRSM0ne+ssWj8dli8envM9hNbaD+JDKCABZdtTd85P3dZmU/JjeeK/aWKiN+v5CXOmTgIF7EkfinvgRmG+8hAvN+3CpeQcuMe/Aw4lZ+H3fYjyWmIHnNu52z9nolB0TAth9II7/eWQdfvfk21gwvv/ZiLnzKhRYYjyLz1u3YrKxES8nRuLc+DV4IjE1rbMjTltgcQAAIABJREFUJvVrymqZhN6EsDeAOILS0vzezCwzX/lMlmYrvoYLIbYAgBBiCxE1h6yZAGA3Ed0GYDSABwFcJYQILQwT0UUALgKAESNGZBkewxSW02e24at3vYxX392LiS21xQ6HYQZEMlsIdedYppmkRROa8OiVx+DtHQec81VR5//QVDMXpIkufSalep7a8yUzK2GN+uUH4e+Jafh7YhrasR3nWg9jubkSx5vP4h3RgEfeXIC36Qi8HR3r69d6b18cT7+5C4CdHcs3lTiI083Hcb75F0w2NuLNxHB8Nn4p7k4cCZFGoU2KrgrLRE9f6t2S9u8+4StRq/NGAbiv2YGYpaZjHJwN/T4bRPQgEa0J+bcszWtYABYA+AKAuQDGAPhEssVCiBuEEF1CiK6mpswdbhmmmJwyow2mQVjxHJcemfLFba5XrSacD7GBihkiQsfQKt/5nqCD73qqwJNXUft47GNQRh4FP3T1zFeYT1g5shlNuK53OeZ3/wSXxC/Dy4mROKv3btwTuxr3mp/HVdb/YS69AhN9eGP7Pry61e4F27Q7P+KLkMBseg3XWjfhydil+HbklxAwcGXPRTg+/n3clZiflvACgKqonQ+qiPotJ9TSol6GjvrKjjIT6t8oMqDdjmlsIsmGfjNfQoglyY4R0VYianWyXq0I7+XaBGC1EGK9c84KAEcC+OUAY2aYkqWxJoaF4xtxx+rNuPKEiXkdT8Ew+UKWBodWRQF4H2ImUWj5LxO8ocUEw4Cv5yvYOO/tUtR7vlTXfd0DTD3miS7Pmb8vTQuHUqYHll2STByJIdiLc2tW42TzSVzYdy8utu7CblGNN//ShX8yR+DpxESs7R0JZOmjJanHPswxXsMC40UsNZ9GK+1EXJj4S2Iuft17AlaJiRhIT1dV1MT7H/SgMmLHGbUMxHsTiJgGevqc0qJhD82WWa6IFcx8qRnQgfZ8mYoVSj7Itux4J4ALAHzH+XpHyJqnAQwloiYhxHYAxwFYleV1GaZkOX1WOz5383N46q2dOHLMsGKHwzAZM6apBg9/fhFGDbOb6GX/i2kQRjdVY9SwKvdYpsjPQVLKjvrOREuxo3DLjpqYSpXdUkWbXq40DGAA03xKmt2oxeNDTsVbQ87G39asx5LoS5ifeAZH7nkZX4k8CgA4IGJ4TbTjtUQnXhMd2CiasVUMxTYxBDtQh25E4AkmgSp0oxYHMIz2YCRtxSjaitG0BTONdZhg2Jn9gyKCRxMz8J2+c/BwYnZW7vSmQahwRJcUXzHTFl/6JotuqA33ivjSytay36sUTVazFV/fAXArEV0I4G0AZwEAEXUBuFgI8SkhRB8RfQHAQ2T/L3oGwM+zvC7DlCzHTxmOqqiJFas3s/hiypYxTTXu93KwNhHQPqQSj1x57IDvV919KHvJvDFDevkwuYiS4g0IZsxUg0y93Ch7hbLBdLIv2WKQt9PQMsh1lR8Iw6qjqK+MYC+q8PLQ43D71rlAL7CkvReVW57CLGMdJtBGHGM+j7Pp0dD7iAsTvbAQRQ8sCj5H20U91iRGYUXPUXgmMRHPizE4iFjSmNJpnJfZLcsgt2woy45RywC6na8O9mukL3T3azLLEdWeJF1iluGzscg1WYkvIcQOAItDbl8F4FPKzw8AmJ7NtRimXKiKWlg6tQX3vLgFXz1tqvvXHMOUIzLjtWTycNTEsv173e/tJUWd3uCvmmS6zfghzdR6/5k6DsntB9OyaWoyY6AiaqDnSTEihVbMMl13+ahloDeFQWl/NNbEUO+Ui+urIu7t/3LaAiz/WQR39c53bxuKPWijHWim3Wim3RiGPYhSDyz0IYpedCOCfaISe1GF3aIaG0QLNojmjH25aisi2Lk/nnJNTCktSpFVGfFbRkRCvLz8JWZbxOpjpmSZfCA9X98/awYaa6IZn5cu2f9PYhgmwOmz2nHb6s145NVtWDqttdjhMMyAkZmphROasHBC9pugAmVHX+9W/w333oduev1g6gexej/ytoH0f1kGIY7Ms1WWYfcuSaFVETFc8RWzDByI9yFqGoj3pZ+Zq41Z2Nvdi8bamCuO6yoimNZehw/ifZgzsgFDq6OuDxgA7EIddok6vJTn1rfaCqtf8VURMbH3YC8iJrmZpgql5wvQSotuX5dSWjQIiT4RGKxtGOmNvgpjzshQz/icweOFGCYPzB87DE21MdzO44aYMsfIsd+R2nDv9ZLZxyzF2kJmr4KN80GBFQmINrVc6T0OdY19m/0108bqge6clKIg5ogKtZwWs5w+p0hmH8u1FbbgkmVHAKirtLDiM0fhz5cvdI8VEimCwzKl8jHLp04KLsvJfFkGuQLLE1+KYA708JGb/dLL14azk7YUd7iy+GKYPGCZBk6d3oaVr2zH+wcGPqqDYYqN+qGWm/vzBBK5AkzPWHgZMSOJeCLfh63eD6ZkvrQdkYC3i22gw7f13ZVhhH3gSzEhMztScIUdS4Uabo0jvppqvbJjXUUElmm4GaMGR3wNUcqR+WSocz0pDCWmQa4NhC42IwYh4sQccW0kUpQdXaGu2JaE7HodaMN9vmHxxTB54sOz2hHvS+DeNVuKHQrDDBiTcut3JMWUzHqFlR1lJoMIkIXHgJ2E4YmoiOkvRRkEd+NeMGPm7emToisdSxi/s34w0xZYT8Fj8vHJzFfMl/mS4svJ+oQ0e0vhUakItLoKW1CpPV91lX6RJcVXQw4zYBVahk7NTg1zxZcdh7ppQv6OpOiSIixiGYhZtvByewDDyo4hnm6uB50mtLNxuM83LL4YJk9Ma6/D2KZqLj0yZU2unb7lB6Gb9VLKQrqzvaF4LaUqO6by+dL7yNSMmZFCPCWL23c9d3dd8KPUv7vSJmL5sz5qlksXI6ow88qVfisGg4Aqp7Q3rEYpO2oZJymGGqpyJ76qo/5rqIJQ+sPJzJc0T40YXvO7FJfycVoGIWp5pUfAtpoA/MLXtZhQy46OwNJNd4mAC+aPwsfnjczFQ84pLL4YJk8QEU6f2Y6n3tyJTc6wW4YpN9Sdg7m5P3/ZUd21qO5ylH1bgfKhZqBp3xZs1FezLfqxgKBzBWEwXnk/qr5SZweqX9X1+i5L+/HpWR/vTr1mc/8a9XHKY5WOFUPENFDh3EdjTQzNdTEQAS31Fb7H0FBt20HIcmAufp+Vmgt9lSLGZIat1hGGcq26s1V/DmTJ0TIMN6slS7HqeYH5jWrvoJ75IsKyme046bDS2/TE4oth8siyme0AgDuff6fIkTDMwFB7snKBK2aI7H4d8vqA3GZsQ2a9FKGkCR71mG4/IO8fCN8JKUuZwQxY8HGGZbD0TFvYvEndOBYIZnvU5nMpICssfz+YZRiuqJDnuw7wpoGKiAmD7GxTa30l7v7s0Vg6tcX3GBocywSZAatK0VdWrYgqtZSoU+Wsk19VMdZUG0NFxHD9uuQay/SyWu7jjMhjhLmjGrBgfGPAckSdrOA62yuC2zXrDQj00is3Slh8MUweGTGsCl0jh+K2ZzdDiPIfacIceuS87KiVBg2D8KGpLfjWhw9Dq5Ox8XrBFBGliSC1F03PihiGmmELZqe8hnv414R8WKuZOv0xuF9T7MYLc2DXS4uWoYiSiP+YtEsAPKFSpZiQ1lVaGF5X4V53alu9K+Qkk1pqEbMMjHSmElSl2IUoS5emQW6c+q/fIC9OmfFSy47/vGgMfnnBXLdsKI+ZBrnPVVjm67wjR+L7Z81wH0vU9xzAWaeLcHtHqz+D6hfApQiLL4bJM2fO6cC6bfuweuPuYofCMBmjZphygW+2oyOwhlZH8dEjRvgEk+zNkpdWRZv91RMFEa33Kuw8bzA3kveRKZ+I7poQ8RbIvihPUMBRP6zs6DbcB8txbsO9IszcUp00IVXKjpcdNx6/uKALqZg7qgFrvvYhdAytBODPbsmHJQWSbNaPmup1/YJQlgiBYAbMMgit9ZU4alyju6ZSOeZtOtDuMySzGFWeH72Hz9dUr5Qe5W3qYytFWHwxTJ45ZUYbqqImbnlqY7FDYQYAEX2ViDYT0XPOv5OKHVMhMY3MrRhSoWadDMNfGlKFjhRQ+mxHKbpUOwl9tqNqUREUbeT7Puyr+n1YX1cg8xVyTM/UAZ74klkjKbTs0Tqy18vfjG+Qd1+u+IrIHYKE5roKTG2rR39EnBIl4O/PkrdJQVYTs2CQLf5cywfnutVOxiyq2EHoZUffRgHLL9BUkemVYL2yo8Tt+VL9ugJlZCUDavitJiIhv5dSg8UXw+SZmpiFU6e34a4X3sEHWYwPYYrKj4QQM51/9xY7mELSNaoBh3X0/+GeLl6Wye9uD3iCh3wCyz7mlRQ9/6/geCH1fF0EOcfgWU24HmJa+VG9jdyvSuZL6yML241naDEBCIgZt6ynNqJrNhSWabhxyfVSPGU6ezDmiigv8+UOs456oq8iYrrN72q8nuhLnvmKKeVHN/MVseO1M1/+smOFNkrIfsxa2TGkpGgqrwfVtsQ+3zuvVGHxxTAF4LSZbTgQ78Njr28vdigMkxHXf3Q2zp83Kmf3p2egwhznXff7kBKh3H2p7mhMb7C28kGuZdPCylR65ouU46kyX3qjfdjgZ73hXhUlbs+Xm/kK7hBUy46ZEJb5qtRuq4jYGbKYZXgiyNSFEiniy28nUaFkvqJamdQyDaXvzf8cqM39eqZPzZjp2S2D1B2PfsHL4othDnEOH92AIVUR3L/m3WKHwgyMS4noBSL6FRElHfpGRBcR0SoiWrV9OwvtMNSyY8wyfCN2VFHk2lBoQokQPKaXotR+ML0MSErqS9/lqDZopypXpt7t6L8vvzu7v+wYJi4qAs34wayYu9vRyuwjPCzzpQu6mGWiwvm96NYY0n0+ElJ2jFmG/TtVMl9RuUbuaDTIFcGxkF2dEm+zQvC59xzuld2OBvnEuDr/s1ThwdoMUwAipoHFk4bjgZffRU9fIuO/WJn8QkQPAmgJOXQNgP8B8A0Awvn6AwCfDLsfIcQNAG4AgK6uLt7eGoKpiJkrl05EvNcbIu03QtX6s5QPVIP8pcWI1oTtmUkEs1Nho4d0vy8Zn/rVu55I6i+mrg/z+dKtJmJKz5eX+fKv8fVJaZmkjMuOUmhFlJ4vy9/zFbMMt+yYcHZoq31ZEdNwer78ZUd5zG8O64/XVMuOWnk1opwX9PlS/dOCWU6T/Ga9urFuKcLii2EKxInTWvCnZzfh0Ve3Y8mU4cUOh1EQQixJZx0R/RzA3XkOZ1Cj7lac1FLnO+ZlxRR3+0A2g/zHoRhuhvR8hZUW9VKm2/PlE1FyjRK3JgBCPcC0kpcZcsyd4+jr+dKzYkqTutbz5fZeZVp2lELL1/PlLx/GIgZiEROWQehNCF+8luFlxFzxFbO8Y0nEl7oTUheS6mzHwPNkBhv1dZNV1eNLlpoj7uugdMUX//nNMAVi0cQmNNbEcOsq3vVYThCRao/9YQBrihXLYCCsxCdxBylbhrvbURcxXkYs2GAdOl4oxGTVy2YFs2punFrZUT0eGOAcUq6U15WiggiB8mHKzFfEX1ZTz5NiJpJp2VHJqslYKgO7FU23HKyP+XFLjha5Aqfa7T8jZz5jcFh4VWjmyznPsMuVVkjPlxzHFF7yVTODsu/LOd/NSGb09BSUEg6NYQYXEdPAGbPb8fAr27B9b3exw2HS53tE9CIRvQDgWAD/WuyAyhm1qV5nSFUUP/noLJw2vS3QVO/1bHkeYMlsHcIa9VWB5JUkna8hVhP6baothr7LMaznS4pF3xgckgLLXzb0mY9qPV9hpTqv7JhZZkdmviIhTvNq2fHIMcMwd1SD1xyvCEFZctQb7qV7fUwZuO068ke97Ji+ecB+fIbPGFa3owhruA+WHYOmu9xwzzAMAOCsrk70JgRue3ZTsUNh0kQI8XEhxGFCiOlCiNOEEFuKHVM5o5YdwzhlehvqqyJeaVGep2WuVPNXvb8qrFE/dCdkig9rfbdkWB9ZmNWEqfUkqW7reubLtpHQHe795UfVyV/3AMu44V4xcNWb/6VAilkGrjpxEq46cZLbS+dmJH0N91oWzkje86VmvvQdn6ZBsEzy9a95JquG+xxIAaZnO01D2o8oPYC825FhGJVxzTXoGjkUt6zayOOGmEMStfE9FXpTvbqDzfvnFzhhcx/dcqWbAVN6yzTR5RdR/nj9Zc7wcmfYeb7ztZKbdHxXhVmqnZCuPYOTZcq056syYuLkw1pxxOhhAc+xMJ8uvUfNNAhRy/CbrMa8zFdV1HSNWNXzZI+aZaqPxRNkJx3WiiPHNHjPoekXfYZBvk0Y8rkDlMyXrzRpuMdKFW64Z5gCc/bcTvzbH1/AMxt2oWtUQ/8nMMwgoiJi4ssnT8bx/Ww6UTNcQLg5q1uSDPR1hQilsAyWUlIEPFEmry/vyz4WFHSpMl9qxo3IX3Z0e72cET4+81HNgiFMfEUcv6xMxRcR4fqPzXavHTG961aFONRLcak23FdGLXc3JKDYSJiE7581A0Oc8UQAMLTK/r6pNuY+F3pWyzII1501wxdnaOYrye/cMFSHezjPj/y9ZPT0FJQSDo1hBicnH9aK6qiJW57mxnvm0ORTC8a4Q56TQRTeu0XkOd/rmQ4pfAgp5jeSKqz85Uc1TxJmNeHuptP6yHziKxCv15Mkb6ursEVJTcx0dwB6ux37t5qwTELEMDIuO6pEtF6rptoYvnbaVJwyvc23Ro3FMgjfWDYVX1w60RVfcudkxDAws3MIRjV6v9fxw2tx72ULMG/MMOexBOdUhm280MWX52LviXFX+JI329ET6s7roIQzXyy+GKbAVMcsnDK9Dfe8uAX7unuLHQ7DlCR2v1eYcSY5JcngjkbTUN3v/cLKLQ0qGSy3+d/XDwbnvnTRFhzcHD5eyNDO89tjAEBnQxVuuehILJ48HIaTDYo5uwt1C4Ywq4mISZg3dhhmdgzJ9Gl1iTgO9upmhQvmj0JLfYX3WLRNAJZJmN4xBOOH12Jyay2mtNYpDffhQmdKW50rnmTmy+790n4vCrqzvml4Gyz0iQVuL5hyzHs9lK744rIjwxSBs+d24pZVG3HPC+9g+dwRxQ6HYUoOV2QhPHNlkC1iWusrQj3ADFdg+bNUauYr0GjvHOsTwjtfyYoFxZ734W4QkBDhwkwagLpWCAbhCCcbZDnC4dzDR+Cw9nqlIT3M58sr/91wftcAn1kvBsuggG+Wb41WdlTLnEuntWLptFb8Y/0O39pU1zNNcrNfpiZSVeSxiNZwL/u+7Fi8jOSiCU3Y193rHVNsSUoVznwxTBGYPWIIxjXXcOmRYZJgOGUkmZ1Sdx1KAXXmnA488aXFbrZJliPVEqE+Asjv2xUsO5J2TLXG0PvPIkpjd0DQKWVHVxCG9ojZIqilvgJLpgwPlOWk8ADsMt6kllqMH16T6dMZwO4b83ZZRsLEl957FZqlCpqkJr2ekv0Kyxrq140pDfcGwb/bUSk7fnrhGPzr8RPYaoJhmNQQEZZ3deLZt3dj3ba9xQ6HYUoOg+SOx/DeK78thHeOJ3bs2/TRQQQEBJ1fYDnfG2HXtY+5pUXX0iCYTQvuxgtaW8h16s+uvYNlgMjOSMlY2oZU4M+XL0RrfWWaz2Jy7L4xUnZsBuWAvM1r9A+KGVka7Dfz5ex0lF/DPNIk7rBvZ+ek6uPlCtgUo50OCasJImogogeI6HXna+jQWSL6HhG9RERriejHVMqdcAxTAD48ux2WQZz9YpgQdJ8vX2lRacQH/LvxDJKN+nr5z8tSyXsNbaqXZc7AseQ9X6l6xUzy3O3DBIfs+ZJMbq3FZceNw/yxw+ySJJHXxJ/Dj0098xVWdtTtKMIzX8kzZ4HrGYS2IZVora8I9G6pHD2+Edd/dDamtNa519V3O+qbHtT4wmZulhq5yHxdBeAhIcR4AA85P/sgovkAjgIwHcA0AHMBLMrBtRmmbGmsiWHx5Gbc9uxm33BhhmH8jepAeAO7ZHxzDb6xbCoWTWgK9HzpTdhq35B+3wRy646BXZbKer1kJrNtstlfXSMbxcMei1zn+9k0cMUJE1FbEXFLkqn6owZKxJBlwGA/lxeLI75SZMfah1ZiUkttYE6nzsWLxuL0me24eNFY3Hnp0Yr4ConNNHDy9Fa/vYjh3+Gqvh4k8vvaCgvVURPNjsVFKZKLhvtlAI5xvv8NgEcAfFFbIwBUAIjCfg1HAGzNwbUZpqxZPrcT97+0FQ+/shVLp7X2fwLDHCKQnYYK9XVSS4dy7cfnjbKPO71Zyfp/1H4w39BshAsz92cDAYd7172e/BsBZJwyNn2nnipiTE18qUgDVvc5CBE/A8Uyyf1n33dIViuNsmNdRQR/vnxhv9e78OjR7vemYQYykmG4ApqCdhKusa4iwlvqK1EdNTG8rgJPXL0YNdHS3VOYi9/kcDluw/narC8QQjwBYCWALc6/+4UQa8PujIguIqJVRLRq+/btOQiPYUqXheObMLwuxqVHhtFI3vPlzyKFnUcIZq5SlQjlhzwpJcmAaEOIx5RaCiXde0zJ1CkN44DXKwYAJ09vw3GTAh+b7rlqZiyH2sspA6oN98E7l2LL23mZuwBS9XxJiAjXnjIFp81sc2drBkZCKecvmdyMp65ZgpqYhbqKSKiHWKmQliwkogcBtIQcuibN88cBmAygw7npASJaKIR4TF8rhLgBwA0A0NXVxfNXmEGNZRo4c04H/ueRN/Du+wd9HjsMcyhTETHdpnNAHRnjz17pSKGj70xUhZI8M1h2DI4e8o8HgnOb3+GeyD7ZFmjwnWfKcplBGFoVRXXU9M0xvOL4CUmfA8s03EZz9TnIBQsnNGHX/nigLKtfH/A8x/rr68qEdEcAfdLJmMleP7fnSxlYLiEi33ijUiatKIUQS5IdI6KtRNQqhNhCRK0AtoUs+zCAJ4UQ+5xz7gNwJICA+GKYQ42z5nTi+pVv4E/PbsIlx44rdjgMUxJ8fdlUAIT/e+ptAOFZpjB0Q1O9oVztywpvuJf3A991oWTFdJ8vbxRSiKCTJTOyrTGOmdiUtjO97PlyY8ph5kuWAX/z97cAJNvtaF85mocG9hmd9Thnbiemd9Sntd7tm9NKt6Wc3UpFLn6VdwK4wPn+AgB3hKx5G8AiIrKIKAK72T607MgwhxqjGqtxxOgG3LpqIxIJTvYyDACMa67FuOaakN2OwYZ7FZn18sSTP8Pin9GoC6XwMqd3Xf95auZLxuXet3KeLJVGLQNtQ9K3ibDkLr+QXrFckar8J68XZrKaLbUVEXznjOlpZ6rU+Y6AnY2rjJioU2ZJlhO5eCa/A+B4InodwPHOzyCiLiL6hbPmjwDeAPAigOcBPC+EuCsH12aYQcHyuZ3YsOMA/vHmzmKHwjAlhV7+I/I7neu4RqvOz6ZbKvSLN/v74FddPMlKGynr3JFFpifs9J6vsPE3mbJ0WguOGtfoE3K5prbCAhFCRVBgvFARs0y26a73HMQsE/d9bgHOmtOR+sQSJeviqBBiB4DFIbevAvAp5/s+AP+c7bUYZrBy4rRWfOWOl3Drqo2YN3ZYscNhmJJBiqG6ygiipoHGmigWTWxCc214f6SeGdNtGlT54O52VHu+5P0ERBu5RquGli1Ss1uB3Zkkm+0zf+xfOXUqAGDVhp2+nX655MRprehsqEJTiC1DOj5fhSJqGYhapm8XqjrEu9woj840hhnkVEZNnDazDX98ZhO+etpU1JdpKp1hco3seBpWHcXjVx2Hxpoojps0POl6z4RVy1L5RJQ/m+b2kSvH9LIjKQLLNT01/ALLb2OhlCSN5GXSdJBWFfkgahmYPSLUGx0N1THELAPVMTnQu3hDcT63eDz2HuzBcxvfB1C+vV4SHi/EMCXC2V2d6O5N4N4XtxQ7FIYpGVTfrabaWL/ZH+lgr/dn+Q1R4X4PeB/kUkD5ziP/eXLnIqD2fHnN4MGyZWprjHRQh2sXkmUz2/DgFYtQG4u4cRSLCcNrMWdkQ8CHrVxh8cUwJcL0jnqMbqzGXc+/U+xQGKZkIPJ/TWe9uusw6EaPUIEE+MuOgQwWvKyZd8xw7zNY7vSEnToceyBUxyw3+1RIIqaBzoYq1FRYMB2rjGKjm9+WK1x2ZJgSgYhw6vRW/PfKddi25yCa69jzi2FUG4h014cZqeq7JdVjuoGrXKdeV73d7esK9HwFj0mxl03m6tMLxuCU6cWbgNFQHcX9ly/AqGHF77HizBfDMDnntJltEAK4k7NfDAMgaP3QH0eNa0TXqKGBzJXPqd5Z6wqqEJNV3UldZtPC501KsUeB+/TG4mT4wBUaqqOY2paeH1a+GNdc6+7uLCaG8vsoZ4r/TDIM4zKuuRYzOofg5qc3Qgj2/GIYXSj1x7c/chjOnzcqJDslneaDsx39Mx6D4sk93/DPb/SMW72djnrGTYq1YvZLDSZ0e5ByhcUXw5QYHzt8BNZt24dVG3YVOxSGKTqZlh318wxf+U/2bGlr3MYytczo3KTudgS59wPo3mH+nZT6bEcWX7khMHmgTGHxxTAlxikzWlFbYeGmJzYUOxSGKTp671Um56mN925mCkFh5pUkVXNWf3bM6+kiNNXEEDHJtYTxm6z6zyciLJvRhpMOK17P1mBisDTcs/himBKjKmrho4ePwD0vvIONOw8UOxyGKSp6lir988gRWt79yPKgK7CS9HWp1/MP3bYzX8dMbHI8x2LOWv/9A/5dlp88ejTOPXxEpg+dCUH3XytXWHwxTAnyT0eNhmkQfvHX9cUOhWGKSqYN99559jljm2pw+OgGTGqp85UHAb+/l7yGLvbU2Y7yPokIzbUVgV2SsicMUGdKDvCBM6HIMUhV0cJbb+QSFl8MU4K01Ffg1Olt+NOzm3Eg3lvscBimaKglwUzPM4gwtDqKW/95HlrqK7yeLG1Ho68vzD3fv0YfH6SuUXdCStRyJZM7lkxuxm07wIlQAAASdElEQVSfmY/W+vQHlJciLL4YpkQ594gR2Nfdi7tfYMd75tBloGVHdeehe1/wDFHlGkA1WVXGC2nmrDJrpoopNSunCzB9piSTGywz+TikcoLFF8OUKF0jh2JsUzVueXpjsUNhmKLhZpcy/LQaXleBlnq/UbFrwKrbSYR4R6kWE04EvtFEamzeTsdwA1aG0WHxxTAlChHhnLkj8MyGXXh9695ih8MwRaFtSCWGVkUQszL7uPqno0bj/ssX+m6TZUXdi4vU0qLP88svsNSdkv415N6320dm6OKNYTxYfDFMCfOR2e2ImISbOfvFHKKcfFgrnrpmCWJWZg3WpkGoiPjPMQzNoV77altNSPHk3Q8Q3tcVaLin4GBtFl9MGCy+GKaEGVYTwwlTWnDbs5vQ3dtX7HAYpuAQESI5GmtjZ6aUPrKAl1fILEfVqd7wlyZVQ1a39IhgrxjD6LD4YpgSZ/ncTuw60IMHXt5a7FAYpqyR44NIKyn6Gud9azWfMGiZr4B7fkjPF6svJgQWXwxT4hw9rhHtQypx81NcemSYbDh2UjO6Rg4NcbFXyo6auapqNaGKK8DvDyYzX25J0+SyI5McFl8MU+IYBmH53E78bd172LBjf7HDYZiy5bqzZuCMOR0+0QSoAsvz+dJLk7LZPmXPl+EJsqFVUYxoqMKYpuq8PiamPGHxxTBlwPK5nYiYhBsff6vYoTBM2RMYjG34s1tAsGHe3dGo9nw5X9Wsl7zvqqiJx/7tWMwf25jnR8OUIyy+GKYMGF5XgdNmtOOWpzdi1/54scNhmLJGN1c1ZV8XlP6vEA8wPfOlm6yq4o1bvZhUsPhimDLhooVj8EFPH3735IZih8IwZY7fVDV8vFAw86XOhbRv877qx3msEJMKFl8MUyZMbKnFMROb8Jsn3sLBHradYJiB4ma+NCNUe7yQPOZfK7NiqqZShZZrsqqsZ5hksPhimDLiooVj8N6+OG57dnOxQ2GYskX38vJ6vxSTVe0YEeGM2R04f94o93488QWc1dWB5XM7faVIhklGVuKLiM4iopeIKEFEXSnWLSWiV4loHRFdlc01GeZQZt6YYTisvR6/+Ot6JBKi2OEwTFmiN8972Sovs6WLKCJg6bQWfPSIEe79kDKK6MOzOrB87ohAuZJhwsg287UGwEcAPJZsARGZAK4HcCKAKQDOJaIpWV6XYQ5JiAgXLRyD9e/txwNr2XSVYQaCN+NRE0qk7IQMme2oEzEMe4yRMnfSE295CZ0ZJGQlvoQQa4UQr/az7HAA64QQ64UQcQA3A1iWzXUZ5lDmxGkt6BhaiRseW1/sUBimLCHHEkI3WyVAuc1/LCyTVRk18dsLD8dH5nS4txksvpg0KETPVzsA1Zp7k3MbwzADwDINfOro0Xhmwy48s2FnscNhmLJDNsaH7WgMlB2VnZBhzB/biLqKiPszlx2ZdOhXfBHRg0S0JuRfutmrsFdg0mYVIrqIiFYR0art27eneQmGObQ4e24nhlRF8LNHOfvFMJlCzgDsUKsJrRk/U+sIbrhn0sHqb4EQYkmW19gEoFP5uQPAOymudwOAGwCgq6uLO4oZJoSqqIWPHzkSP1m5Duu378OYpppih8QwZYNB0jTV/tkdLwR1l2PwWLr3rX5lmDAKUXZ8GsB4IhpNRFEA5wC4swDXZZhBzfnzRiFiGvj5X98sdigMU1bYzfbyO9XTi4Imqyl6vpLdt/8bhgmSrdXEh4loE4B5AO4hovud29uI6F4AEEL0ArgUwP0A1gK4VQjxUnZhMwzTVBvDGbM78KdnN+Gd3R8UO5yyJ5V1DhF9ybHKeZWIPlSsGJncYGhlR7ek6KmyQAYs3SpiTUUElkGoiJg5jJgZbGS72/F2IUSHECImhBguhPiQc/s7QoiTlHX3CiEmCCHGCiH+I9ugGYaxueTYsQCA6+7vb9Mxkwah1jmONc45AKYCWArg/zkWOky5Qv6Ge6+0qGa+5NfMMl+nzmjFHZce5WvCZxgddrhnmDKmY2gVPnnUaNy2ejPWbtlT7HDKmhTWOcsA3CyE6BZCvAlgHWwLHaZMMZJZTSgN96ksJlIRs0xMbavPVajMIIXFF8OUOf+yaCyqoiZ+/lfe+Zgn0rbL4d3a5YGsLhqy18sVWqrhqjZ6iHcvMjmExRfDlDn1VREsn9uJO597B1ve596vVAzQOidtuxwhxA1CiC4hRFdTU1NugmZyjmysl7kvveyo7oRk01QmH7D4YphBwCePGg0A+PFD64ocSWkjhFgihJgW8u+OFKdlZJfDlD4kxwiFCCx39JA2YJutI5hcwuKLYQYBnQ1VOO/Ikbjl6bfx+ta9xQ5nsHEngHOIKEZEowGMB/BUkWNisoCI/A73as8XnH4wrfcrXZNVhkkHFl8MM0i4bPF4VMcs/PsdayAE+xNnSjLrHMca51YALwP4M4BLhBB9xYuUyRaZ+aqtsH3G5c5EmQ0zvKSY4nBfjEiZwQqLL4YZJDRUR3H1SZPx5PqduOXpjf2fwPhIZp3jHPsPxypnohDivmLGyWTPxOG1mNpWh1mdQ3D3Z4/G5NZaAN7MRwIFs2LsmsrkEBZfDDOIOGduJ+aMHIr/euh1xHsTxQ6HYUqSC+aPwm8vPAJEhGnt9W5JUZYdnaYvAF4zPvd8MbmExRfDDCKICJceNw5b3j+Iu57nnnCGSRci6f/l016825HJCyy+GGaQccyEJkxqqcX1K9ehu5dbkxgmHaTgkiJsoLMdGSYdWHwxzCCDiHDViZOw/r39+NmjbLzKMOngud6Tz+nebbgvYmzM4IPFF8MMQo6Z2IxTprfiJyvXYf32fcUOh2FKHtXYXpmv7Q7WNrjpi8khLL4YZpBy7SlTELMMfHkFW08wTH+QU2okJQMmb7/urBk4Y3ZHkSNkBhMsvhhmkNJcV4EvLp2Ev7+xA7ev3lzscBimpJHZLverUnY8c04HOhuqihkeM8hg8cUwg5iPHj4Cs0YMwTfvWYtd++PFDodhShaf8ILnaM/FRiYfsPhimEGMYRC+/ZHDsOeDHnz7vrXFDodhSpa5oxowubXOFV5SdPEmRyYfsPhimEHOpJY6fGrBGNy6ahMeX/descNhmJLktxcegTPmdLheX95AbVZfTO5h8cUwhwCfWzweY5uq8ZnfP4s3ePcjwyRF3+3IMPmAxRfDHAJURk3c+InDYRmES37/LJuvMkxSnF2P8icWYUweYPHFMIcII4ZV4XtnTscr7+7Fjx54Pe/XE0Lgp4++gW17Dub9WgyTK+ROx3HNNRjdWI22+spih8QMQlh8McwhxOLJw3HO3E789NE38Oc17+b1Wrev3ozv3PcKVjzHNhdM+SD3OI4fXouVXzgGQ6ujRY6IGYyw+GKYQ4yvnjYVMzqH4HM3r87b8O1nNuzEtXe8hLmjhuLCo8fk5RoMkw9kwz3D5BMWXwxziFERMXHjJ+Ziekc9Lrt5Nf72em53QP7lpXdx9s+eREN1FD9aPhMmj2Vhygh7p2Oxo2AGOyy+GOYQpKE6ips+eQTGNdXgX299Lmd9Wdv3duOq217E5NZa3H3Z0egYyq7gTHlh73Zk9cXkFxZfDHOIUhk18eNzZ2F/dy/O/9VTeG9fd1b3t7+7Fxf/7hnsO9iLH549E3UVkRxFyjCFg8BlRyb/ZCW+iOgsInqJiBJE1JVkTScRrSSitc7az2VzTYZhcsfk1jr87ONzsH77fhz7/Ufwuyc3DGgI97Y9B/GxX/wDz23cjf88ZyYmDK/NQ7QMUwCIRwox+SfbzNcaAB8B8FiKNb0APi+EmAzgSACXENGULK/LMEyOWDC+Cfd+7mjM6ByCL69YgwtufBprNr+f1rl7Dvbgilufw6LvP4JX392L6z86Gycd1prniBkmf9gN9yy/mPxiZXOyEGItgJQvVCHEFgBbnO/3EtFaAO0AXs7m2gzD5I5xzbW46ZOH49d/fwv/9dDrOOW//4aTp7fia6dNRWNNLLC+LyHw4Nqt+N6fX8GGHQdwzuGduGDeKIznjBdT5rC7PVMIshJfmUJEowDMAvCPQl6XYZj+MQzCJ48ejTPmdOCXf12Pnz62Ho++uh0N1VEsndYCgwg9fQkQgAfWbsWGHQfQPqQSN114OOaPbSx2+AyTE6TJKsPkk37FFxE9CKAl5NA1Qog70r0QEdUA+BOAy4UQe1KsuwjARQAwYsSIdO+eYZgcUV8ZwRUnTMTJ09vwq7+9iff2dePnf10Py7DHrggAs0cMwReXTsIJU4bDMnnfDjN4aKqJhWZ7GSaX9Cu+hBBLsr0IEUVgC6/fCyFu6+d6NwC4AQC6uroy7/xlGCYnTGypxXfPnA7AbqivjlmoiJgQQrDgYgYtVy6diJ4+/uhh8kvey45kN4T9EsBaIcQP8309hmFyT3NdhfIT12SYwUvMMhEraEMOcyiSrdXEh4loE4B5AO4hovud29uI6F5n2VEAPg7gOCJ6zvl3UlZRMwzDMAzDlCnZ7na8HcDtIbe/A+Ak5/u/gf9UZhiGYRiGAcAO9wzDMAzDMAWFxRfDMAzDMEwBYfHFMAzDMAxTQFh8MQzDMAzDFBAWXwzDMAzDMAWExRfDMAzDMEwBYfHFMAzDMAxTQFh8MQzDMAzDFBASonRnWBHRdgAb0lzeCOC9PIaTLzjuwlOusR8KcY8UQjTlM5hCwe9fJU+5xs5xF56cv4eVtPjKBCJaJYToKnYcmcJxF55yjZ3jHryU63NUrnED5Rs7x1148hE7lx0ZhmEYhmEKCIsvhmEYhmGYAjKYxNcNxQ5ggHDchadcY+e4By/l+hyVa9xA+cbOcReenMc+aHq+GIZhGIZhyoHBlPliGIZhGIYpeVh8MQzDMAzDFJCyEl9EtJSIXiWidUR0VcjxGBHd4hz/BxGNKnyU4aQR+xVE9DIRvUBEDxHRyGLEqdNf3Mq6M4lIEFFJbCVOJ24iOtt5zl8iov8tdIzJSOO1MoKIVhLRauf1clIx4tRi+hURbSOiNUmOExH92HlMLxDR7ELHWAqU63sYv38VnnJ9DyvH9y+gCO9hQoiy+AfABPAGgDEAogCeBzBFW/MZAD91vj8HwC3FjjuD2I8FUOV8/y+lEHs6cTvragE8BuBJAF3lEDeA8QBWAxjq/Nxc7LgziP0GAP/ifD8FwFslEPdCALMBrEly/CQA9wEgAEcC+EexYy7R323JvYfx+1dpxl6K72Hl+v7lxFLQ97ByynwdDmCdEGK9ECIO4GYAy7Q1ywD8xvn+jwAWExEVMMZk9Bu7EGKlEOKA8+OTADoKHGMY6TznAPANAN8DcLCQwaUgnbg/DeB6IcQuABBCbCtwjMlIJ3YBoM75vh7AOwWMLxQhxGMAdqZYsgzATcLmSQBDiKi1MNGVDOX6HsbvX4WnXN/DyvL9Cyj8e1g5ia92ABuVnzc5t4WuEUL0AngfwLCCRJeadGJXuRC2wi42/cZNRLMAdAoh7i5kYP2QzvM9AcAEInqciJ4koqUFiy416cT+VQDnEdEmAPcC+GxhQsuKTP8PDEbK9T2M378KT7m+hw3W9y8gx+9hVtbhFI6wv/50n4x01hSDtOMiovMAdAFYlNeI0iNl3ERkAPgRgE8UKqA0Sef5tmCn7Y+B/Vf6X4lomhBid55j6490Yj8XwK+FED8gonkAfuvEnsh/eAOmVP9vFpJyfQ/j96/CU67vYYP1/QvI8f/Ncsp8bQLQqfzcgWC60l1DRBbslGaqNGKhSCd2ENESANcAOE0I0V2g2FLRX9y1AKYBeISI3oJdB7+zBJpW032t3CGE6BFCvAngVdhvZMUmndgvBHArAAghngBQAXvwaymT1v+BQU65vofx+1fhKdf3sMH6/gXk+j2s2E1uGTTDWQDWAxgNr5FvqrbmEvibVW8tdtwZxD4LdqPi+GLHm0nc2vpHUAINq2k+30sB/Mb5vhF2OnlYmcR+H4BPON9Pdt4AqARiH4Xkzaonw9+s+lSx4y3R323JvYfx+1dpxl6K72Hl/P7lxFOw97CiP9gMn5iTALzm/Ce/xrnt67D/0gJsBf0HAOsAPAVgTLFjziD2BwFsBfCc8+/OYsecTtza2lJ68+rv+SYAPwTwMoAXAZxT7JgziH0KgMedN7bnAJxQAjH/H4AtAHpg/4V4IYCLAVysPN/XO4/pxVJ5nZTg77Yk38P4/av0Yi/V97ByfP9y4iroexiPF2IYhmEYhikg5dTzxTAMwzAMU/aw+GIYhmEYhikgLL4YhmEYhmEKCIsvhmEYhmGYAsLii2EYhmEYpoCw+GIYhmEYhikgLL4YhmEYhmEKyP8H6ZmXWWSl+hYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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72jl4+HNzUJibgZVbKxIdEkEMeox0Izf+U/qRGGBEEl+KovRzNNERkz5fnPN3ALwjPfegcP+CWOwnlfjFuwfwr22VaPcpGDMsx3x+xayRWDErNl3pk5Ws9DScf1oJ1h9pRFdAQXljF2aNLkh0WAQxKOEh74tz4z+pL6KH/Oc+oGZ3bLc5ai7wmUciLlJaWopbbrkFW7ZsgaqqWLJkCV566SXMmWNvFnzfffdh//79WLBgAW688UYUFhbi7bffhs/nQ2dnJx588EH8+te/xltvvQUA+MY3voFFixbhpptuwtatW3HPPfego6MDxcXFeOaZZ6KafLuv0NyOMaS2zQdvQAUArNpfh1ZvEAAwVhBfg4VPTC1CQ4cf1z61GZ99fB22nWxOdEgEMSixnC8OjXMa80ikDIsXL8bll1+OBx54AN/97ndx/fXXO4QXADzyyCP45Cc/iR07duCb3/wmAGDjxo149tlnsXr16rDbDwaDuOOOO7By5Ups3boVN998M+6///64HY8Ize3YR/yKilX767D9ZDOeXn8ceZnpuOnsSTjZ1GUuM7Zw8Imvs6cWAwB2nGoBAHznlZ34z13nITOd9D5B9CdcGO1IaUeiV3TjUMWTBx98EIsXL0Z2djYef/zxqNe78MILMXx45LrqgwcPYs+ePbjwwgsBAKqq9ovrBZD46jPPbSjHT9/RR/h9fuFYnGruwh/WHAEAXLNkPF4pq8CkbjrHD0TGD8/F2GE5qGzx4jsXzcCv3juI9UfqsXzmwE65EkSyYaUddfVF0wwRqURTUxM6OjoQDAbh8/mQlxfd9VRcLj09HZqmmY99Ph8A/W9i9uzZ2LhxY2yDjgKyIXpBXZsPbb4gOOd4sfQkFowfho3fW47ffHEBfn/NGRiSlY6xw3Lw08/NxX/vOR/D81KrZUSsuP6sibh26QTc+snJGJKVjvf21CY6JIIYdNgL7intSKQWt912Gx5++GFcd911uPfee12Xyc/PR3t7e9htTJw4Efv27YPf70draytWrVoFAJgxYwbq6+tN8RUMBrF3797YH4QL5Hz1EM45rv7zRhTmZeL+S2bhaH0nfvE/czF6qJ5aHDU0G0/97yJwzuHxMEwqHnyul8Htn5pq3l8+cwQ+2F+Ln2kcaYO49xdB9DdiqwlNo4J7InV47rnnkJ6ejmuvvRaqquLss8/G6tWrsXz5ctty8+bNQ3p6OubPn4+bbroJhYWFttfHjx+Pq6++GvPmzcP06dOxcOFCAEBmZiZWrlyJO++8E62trVAUBXfffTdmz54d92NjyfyHuGjRIl5WVpboMGwcqm3Hp3+7FgCQn61r143fW4EhWaRjI/H2rmp8/R/b8OcbzsTUkjwUD8lKuSayRPxhjG3lnC9KdByxIFm+v9p8Qcx76H1cNn8MAoqKshPN2PqDCxMdVq84UNOGaSVDkJ5GSZt4s3//fsyaNSvRYSQ1buco2u8w+gT3kNUH9B6xc8YWICPNg+duXkLCKwpWzBqBGSPz8e1XduKix9bh9he2JTokghgUGL+vNc519yuJf3BHoqHDj0t+tw7/3U/lC0TqQ6ohAk2dAXT6FYwfnouaVh++9vetqGzxYtboAqz86tlQNY48El5RkZ2RhsevWYgrn/gYY4flYOOxRmw42mCOiiQIIk4I82pz4WGq0eVXoXGgzZecTTOJ+LN7927ccMMNtueysrKwefPmBEXUe0g5hGFPZSu+/EwpAGDT91bgZ+/sx86KVmic47qlE5GdkZbgCFOPGaPyUfbABfAwhvN/tQa//eAQPjGlCIxRDRhBxAtztCM4eMj9SkUMxy6ZS2WI+DJ37lzs2LEj0WHEBEo7uuALqvjKc2Vo8wZR3+7H0+uO4c2dVfj6smnY8v0L8DWhkJzoGbmZ6cjOSMM3lk1D6YlmvLqtEmsO1NEXKkHEiDUH6/Do+wfNx7Y+XymcdhQHDhD9A30vh6ev54bEl8CJhk4AwF/WH0d1qw9PXHcGMtIYHnn3AIqHZOL286eiJD+Lij1jwNWLx2PssBx8+5Wd+PIzpdh4lCb7JYhY8MG+Wvx980nzseUYhQRMil5PjYudlqLxpxrZ2dlobGwkAeYC5xyNjY3Izs7u9TYo7RjijR2VuOvFHfjjtWfgTx8dxQWzRmDFrJE4a0oR1h1uwG3nTUFOJqUaY0VWehp+/vm5+GBfLd7fV4PHVh3GJ6ZSCpIg+oo8f6NxTy+45ynrfBmiizqV9Q/jxo1DRUUF6uvrEx1KUpKdnY1x48b1en0SXwCCqoZH3z8EAPjOyp3oCqj4+rJpAIDrlk5AqzeI68+amMgQByTnnVaC804rwdSSPDz0731Ye7gB559WkuiwCCKl0QWW+Dh0C13AhJMu7+2tQWNHANcunRDvEHsJOV/9SUZGBiZPnpzoMAYsgz5/dqi2Hdc+tQknm7rwiSlF6AqoWDhhGBZO0Ju0XTxnNN78xrnIzSSdGi+uWToBk4py8aN/70VA0bpfgSCIsDidL3vaMZzx9erWCjy74UT8A+wlGhV9EQOIQS++fvvBIRyoaceDl56O31+7EJOL83Dn8umJDmtQkZWehh9eNhvH6jvx8Fv7qMaAIPqAJo1otO5HTjvqrljy/u1Z/coSGwdBxIJBLb445yg90YwLZ43EzedORvGQLKz59qewbOaIRIc26Fg2cwRuO28Knt9Ujic+PJrocAgiZTF6eZU3dmLpz/6Lqhav/jwXiu7d1kvyNhS2CcIJIsUZlLk0TeN4c2cVcjPT0NDhx5mTCrtfiYg73/vMTFS1ePHbDw7hUzNKMHvM0ESHRBAphxZyt8obu1Db5sepZq/5vNHrS6SiuQvFQ7JCNWHJK2y0UEUCOV/EQGDQOV9BVcNNz5Ti7pd24Pa/61PcLJo4PMFREQDAGMPDV8xBYV4mvv3KLqr/IojeIPXz0jSjyarlfol85nfr8MKm8pA4Sz4+2FeLT/5yNQKq/n2QjDESRE8ZdOLrzR1VWHuoHledOQ6qxlGQnY7pI4YkOiwiRGFeJn525Vzsr27DH9YcSXQ4BJFyGM6XIVJUQ3y5pB0552j3KWjzBl2FWTJwvKEDp5q88AZUAJR2JAYGgyrtqGkcT3x4BDNH5eNXV82Dh+kd1z0e6i2VTFx4+kh8du5o/GXdMdyxfBoyqKktQUSN0U7CakpqOV+aVHBvpPA0bvUBU1QNB2raMWdscqT9rRgtEUkQqc6guKodqGnD/314FC+WnsLR+k58fdk0MMbwy6vm46HLZyc6PMKFy+aPQWdAxfaTLYkOhSBSCkN4cYdo4Y5WE5Yws3po/Xd/HS77w3rUtvn6MerwGPEaDl4y16URRLQMWOdrw9EGTCsZghEF2fj9qiN4e3c1AGDJ5OG4dN7oBEdHdMcnphbBw4D1h+uxZDLV5BH9C2MsDUAZgErO+aWMsckAXgQwHMA2ADdwzgOJjDEcWqjJquhqASERY97nYIxZdWHcKsjv8CvgHOgKpfkSjRGjKjh4BJHqDEjna391G659ajMu/8PHOFDThg1HGzCqIBtFeZn42ZVzaAqbFGBoTgYWjB+GtYcbEh0KMTi5C8B+4fEvAPyWcz4dQDOAWxISVTRww/kKiRbNcrfEhqvirdEbTNPsTlkyYKZPyfkiBhADUnw98eFRDMlKh8o5rn96C5q7gvjORTNQev8FmDYiP9HhEVGybMYI7DjVgrtf3A5fMDl+hRMDH8bYOACfBfB06DEDsBzAytAizwL4XGKi6x6n82UJrrD1U8LoSEiOWaIx4hAHDhBEqhMT8cUYu5gxdpAxdoQxdp/L61mMsZdCr29mjE2KxX5lvAEVv3j3AN7eVYXrz5qIBz47Cw0dfgDA2dOKqLA+xfjKeVPw9WVT8fqOKvwfNV4l+o/HAHwXgNHrpAhAC+dcCT2uADDWbUXG2G2MsTLGWFmiJiS2XC2p1YQw7ZA42bZxa7SnSD7nS7/VpOMigJfLTuG17RWJDoPoBX0WX6HaiD8C+AyA0wFcwxg7XVrsFgDNnPNpAH4L3cKPKZ1+BV9+Zgv+9NFRXDZ/DL62bCoumzcGM0flY9qIIRg9NCfWuyTiTHZGGr5z0UxcOm80/vTRUVSGOnUTRLxgjF0KoI5zvlV82mVRVwXAOX+Sc76Ic76opCQxk8TLNVKqmFoMLSOZXFYbCpdasUQjCkSAnC+RF7ecxCtlJL5SkVg4X0sAHOGcHwsVoL4I4AppmSugW/WAbt2vYDEsvOrwK/jy30qx5XgTHvviAvzuSwtRkJ0Bj4fhuVuW4G83LY7VrogEcO/FM+FXNLy+vTLRoRADn3MAXM4YOwH9u2w5dCdsGGPMGKA0DkBVYsLrHmeazt5kVV+GS7d6TZhRdC++lmjk2rVkEYXJgDx6lUgdYiG+xgI4JTx2s+TNZULWfSt0Kz8mfPOlHdh6shmPX7MQVyyw73pEfjbGD8+N1a6IBDB+eC5mjS7Aeiq+J+IM5/x7nPNxnPNJAL4EYDXn/DoAawBcFVrsRgBvJCjEKLCLJ1WzbC5DyNS3+/HNl3ZYjUvBzf5gcl1Yf/Punhq0eoPmYzlFmpx9+BODMUqVSD1iIb6iseSjtu17UzPxzQtOwx+vPQOXzhsT1fJE6nHe9GKUlTehK6B0vzBBxJ57AdzDGDsC/YfjXxIcT1gs5yt0K4gW40u39EQTXtteiaN1Hfpr4gjJBKb3WruC+OoLW/HvnZaxKItIcr4EknwydCI8sRBfFQDGC4/dLHlzmZB1PxRAk9vGelMzcfqYAlw8Z1RP4yZSiE9OL0FQ5fj5Owew7WRzosMhBgGc8w8555eG7h/jnC/hnE/jnH+Bc+5PdHzhcCu0N27lhqWqkH7UpJqvRFzUjfkbg6o1r6ucRiW1YUHOV+oSC/FVCmA6Y2wyYywTulX/prTMm9CtekC37ldzGrJC9IBFkwoxNCcDz28qxxf+tBEvl57qfiWCGISYYsXhGHFHrZcijYQ0phgSl+kPyk404aLfrjXToKK75axT67ewkh6jTo9IPfrc4Z5zrjDGvgHgPQBpAP7KOd/LGPsxgDLO+ZvQLfrnQ5Z9E3SBRhBRk52RhtXfOh8+RcO9K3fh/td3Y/74YZgxivq2EYSIcSlWNLuIEouzzZSkKrSaQOJqvg7WtuNgbTsaO3VDUfxtbhXchx5TzZeJpgHagOzWOfCJydvGOX+Hc34a53wq5/ynoeceDAkvcM59Iat+Wsi6PxaL/RKDi6IhWRg7LAePX7MQ+dkZuO9fu6jnD0FIODrCi+5WaBmrDYUlzDTOoWlcKHDvr4gjT54tt84g58tCdCqJ1II0M5FyDM/LxLc+fRq2n2zB1nKq/yIIkXB1XbrzZRdkYjsKQ5yZrSn68aJu7EsRnDjrNf1WrmEjdOh0pCYkvoiU5HMLxiIvMw0vUu0XQdhw6+EFwDYyzhBdYs2XFso7yh3l48nr2yvxwqZyhxgU9+10xUhuGIh1fERqQeKLSEnystJx+YIxeHtXNdp9we5XIIhBgqM1gyBojKSi8zVuFtzL4i2evLqtAq+UnXKkQ8V9y8dDUsOCc73ui0g9SHwRKcsXF0+AN6ji3zurEx0KQSQNprslT8sD7hg5qNpGO8Isuhe3I9PY4ceNf92Cps5ATGIVi/wVF7tNHn2paRzff203Hl91uM/7T3XI+UpdSHwRKcv8cUMxc1Q+Xio9mehQCCLh7K1qRV2bz1EjZY4SdCu4l1yxaCbWPlDTjo8O1eNgTXufYzb2Z45oVC2B9ch/DuDR9w9aMZujHYFt5c3YVdHS5/2nOuIIViK1IPFFpCyMMXxx8XjsrGjFgZq2RIdDEAnl/z2/FU98eFRILerPiyMINUnkKELBvdFktbuar1jWXukjLN1HNJaeaELZiWaXGjZuawY7mBHfUyK1IPFFpDSfnTcaAGjeR2LQ4w2o8AVVR5NVsc8XpNfkkZBGs1VxPRl5+33B6NAud7E3HDG31wzBoZL6orRjCkPii0hpRuRnY8LwXGo5QQx6HCm8UCW2rZ2Esaxrwb01wbbxXLj96Ld9j5mbLpbkxIW2Lzpx8nGQ6LCfHyK1IPFFpDxnTixEWXkzDUEnBjXy3IxW2lG/FV0tVRY73C54jOdckWrK+hqBi7IzAAAgAElEQVSzIfz0mLXQvq3Rl7ITZwgv+nO3ZiYgUg8SX0TKc8bEQtS3+1HR7E10KASRMDQtVLdlPJYaqoquljm9UEjsiK6ZODrSdT8uacm1h+rxl/XHex6zJLDEJquGI+ZonSG5ZYMZOg+pC4kvIuU5c0IhAL1AlyAGK4aI4ZJYMeu6uCWoLEGjr2u4STbxFqZ/lJWWtJ57Y0cVnl7X81njZLdOTGma8Ug1ZrIoG8xwOg8pC4kvIuWZMSof4wpz8KePjqK5M4AOv5LokAii39EiOEWAPLG2vS7MqL0y7ovrOfdj376xTm9EgNzYVRyhaQhBMW1qHCfn1FwUCL3ndB5SEhJfRMqT5mH44WWzcai2A2f85APc+NctiQ6JIPodh1MUpqhefM0UO5rLemG0lNvcj+KoxN7EbKVDLSvOcPFkJw9SP7LBjN44l85DKkLiixgQXHj6SHztU1OxYPwwbC1vRnUr1X8RgwPD6bXScfrzYs8sfQGnq2W1mhBEjou4EnFLO2o8/PKR0DT7vhVBKJr1YKFlLTFJtU4GonAlUgsSX8SA4bsXz8SvrpoHAPjv/roER0MQ8ae8sRPzHnoPe6taoYaEiimw5JovWPVcipR2FC/iWjfOlyzcjPu96bvlaLIq7NtIqckF/lYn/h7vbsBBIjR1IfFFDCimlgzBpKJcfLCvNtGhEETcqWv3Q+NAXZtfKLjXX5PTjm51XfZWE866Kzc0aRvG/d6IIaP9hTy3Y6Qmq1Z7ChIdvT3vROIh8UUMKBhj+Oy80Vh7qB7/2ExzPhIDG6t2i5tF6KaICtMfy7aeagkzecRhuGu6swbLcqj2V7dh9oPvorbNF138Zs2XfZucW//lpq7W81HtYkAT+Z0ikhkSX8SA484V0/GpGSW4//XdONXUlehwCCJuyJ3hRadInlhbrJ8y044RRkKGr/lypiWNYv6TTV3oDKioaY1OfJmF8y77ll/TbK+hV2nOgQalX1MXEl/EgCMrPQ0PXzEHnAPv7qlJdDgEETc0s1mqJYiswnn9NWt0otCuQXDM9PWcBfdh044uaUnH1EZRpgQNB8u95ktqQ2ETijTaETAa69J5SEVIfBEDkvHDc3H66AK8u5fEFzFwsaYJMpo9cafAEsQXYBdmtjQf7OuFb7JqryXTn9O3Jbtu3WF11bfHY841yZ37s4ReVLsY0HDEZponov8h8UUMWC6eMwpby5tRF2X9CUGkGsaF15qWx6WuSxJJ4nqqJGjk59wwxZ1L2rG7HmGO+CV3S7E5eFJvMkFEisc5mBHdTCK1IPFFDFgunjMKAPAejXwkBiiG2FGEORqNa7Hd8bKalorryQXubuvJuM3tGK67fnfohfpivZnl4DkbsNpTpCS+KP2aypD4IgYs00cMwZTiPLxHdV/EAEV1cYzCOV/ivI2qtIzROwuwp/fcEEdFPr+pHLsrWs3aIy68FomAopli0NX50px1ZPI0SZRtoyarqQyJL2LAwhjDRXNGYdOxRrR0BRIdDkHEHDnt6Nbny97FXlpPrO8ynS+Elg+zT0Gk/fLdA3h1W4XpUnWXstRj1fCJn6/Ca9srdeHgWnBvTZVkCkaXkZABRRvUZQU89I9IPUh8EQOai2ePgqJxnPHwB3hq7bFEh0MQMcXpfDndJ3G0ozxyUBRm0TpflhNlFNk7042R0o4BVUNjZwDVrT5H8bw8apPbtm3s33L4/rnlJC74zUeDtuicnK/UpU/iizE2nDH2AWPscOi20GWZBYyxjYyxvYyxXYyxL/ZlnwTRE+aNG4qHLjsdE4vy8O9dVYkOhyBiiiV2dGXCubMJqpVaBOR+WuJUQnJtVUDRsPin/8Xbu6pt+xTTjqrGbaMcg0LtWXcxa5pV0+Vo8MrDv2YW6WtAY2cAbT4l6tYWAw2xjm+wcbKxK6WPva/O130AVnHOpwNYFXos0wXgfznnswFcDOAxxtiwPu6XIKKCMYabzpmMy+ePwZ7KVrR6g4kOiSBihiFIgqooTPTX5JGHtnYSkmMG7uyM3xVQUd/uR3lTp+s+DcdK487Rk2qYNhWA0JtMcLbM6Y6M9CkskeWo+eJCr68onLaBzGCtfStv7MR5v1qD0hPNiQ6l1/RVfF0B4NnQ/WcBfE5egHN+iHN+OHS/CkAdgJI+7pcgesTZU4ugcWDL8aZEh0IQMcMQMmKrCUNEOSakjpAedOuMb2wzqNiv7pa4C00PJDT6VFT7Pt2wmriKAs4lHs2q+7K/JnS5dxl5OdDhnOOv64+jrs1K2w42mrv0H9FNnalby9tX8TWSc14NAKHbEZEWZowtAZAJ4GiEZW5jjJUxxsrq6+v7GB5B6CyYMAxZ6R5sONqQ6FAIImZYoxaNtKPT+RLTjlbBvX0Z2xQ/0jYVqduq6ERZNV+wLRupBsuZdnSbWFucdFsWWJbw6mlri4FAU2cAP35rH97bW2O+p6mcfusN0QzsSHa6FV+Msf8yxva4/L+iJztijI0G8DyAL3POw5rSnPMnOeeLOOeLSkrIICNiQ1Z6GpZMHo51hxvgDajYWk4OGJH6GCInKLlCgFva0RoZZ4gkUZjJQsYQQkZK08BtNKWxT2PZSDVYjtotFxFl9Ctzf03o9dXDpq6J4Cdv7cOHB+titj1FeH+4+d7GbPMpwUAQ3d2KL875BZzzOS7/3wBQGxJVhrhy/YQxxgoAvA3gAc75plgeAEFEy7IZI3CkrgN3vbgdX/jTRmo/QaQ8cr8ut47wmovzJU8vJPYAky9sQamAy0oxWkX+zjgixGwTbfYmq6bLJjhislvHhfXkVGky8s8tJ/HhwdhlccxJ0YVjTmUHqDd0NyI3Fehr2vFNADeG7t8I4A15AcZYJoDXADzHOX+lj/sjiF6zYpaeFX9/Xy00Dpxq8iY4IoLoG5okkOz1U6FlxEJ1SayognXiFF12kWXuM7RKULgAWrVn0acdxVjdYna0oTCW4dYyci+zZERMj8YCN+GRvEcfH2Sxn4r0VXw9AuBCxthhABeGHoMxtogx9nRomasBnAfgJsbYjtD/BX3cL0H0mIlFeZhakmc+rmjuSmA0RDLCGBvPGFvDGNsfao9zV+j5btvqJAIzRSg2WQ29JgssTUg7una/lxwmo+bLEFkNHX7sqWx1OF9G3Ze4bKSLoigA5RSnKrSqMGJypB1tNWP255IRjcdWJCjSOdP3kbzHHw/kmsVUpE/ii3PeyDlfwTmfHrptCj1fxjm/NXT/Bc55Bud8gfB/RyyCJ4iecsNZE3HOtCIAQGULOV+EAwXAtzjnswCcBeDrjLHTEV1bnX7HcIFs0wvJoktsJyG4Rvb1rIuYKgkpQ2Q9ufYYbn6m1FHfJTpq0RRCiw1enU6cEZ9VbC+nQ615LJ1NY5MRUSTGAlmEAoOv5quno1xPNnZh87HGeIbUY6jDPTGouOmcyXjhlqUYkpWOimYSX4Qdznk153xb6H47gP0AxiKKtjqJQHNxjIzLkaPgHs6pelSp8N72mmoXWR1+Bd6AaqUdBefLFGyqFUc43NKOsvNlNVl1KbgXUpNqCjggqpCWjQWOHm0YjM6XPU0djqfXHUPZiSb830dHcc/LO/shsugh8UUMOhhjGFeYQ+KLiAhjbBKAhQA2I8q2Ov3dKsecXkjs8yW5UPKciOJ6cl2YeN8a7RhqOaFqNjGk2Bq7yunM8DGLyzpGWKp2YSYW1cv1XbYGrDEUN7HEGBwQS2fOPO828RV5HV9QxcqtFQOmJYVbrV9zZwAHatpsyz2+6jDe2FEFv6LCryTXh4TEFzEoGTssh2q+iLAwxoYAeBXA3Zzztu6WN+jvVjlyzZQ43YwougC5z1cUzpfR50u19iGKIXEqIWu0YvdpQLfGrvIIPiMlyYWcpjO16X4R7k92V7RGFDRuKcK+0hvna/WBOnz7lZ041tAZcblUwZFSB/DUumO4/ukt9uVCrqxeX0jiiyASzrjCHFSS80W4wBjLgC68/s45/1fo6aja6vQ35rQ8mjjaUX9Ndrnc6rrcWkM4+3xZIkzs6SW6bc72E04xUN3qxb0rd5kOhF3waa5xicfjfI0ndNTbkbp2XPaH9dgcYdYMeQLzaFE1jkt/vw6r9tc6XnNrNRG+c6ZOIHTOA0nm/vQWt2mlOvwKOv2KbTlTeHG7WE0GSHwRg5KxhTlo9yto9QZxtL4DHdIfLTE4YYwxAH8BsJ9z/hvhpW7b6iQCI70XjCIFKF57NOk5t55RZssJ4UInpi7FRq1y2tBNDG061oiXyk7heENHaH1rGXk9uztmdzlUWzz2mPuDf22rwOef+BitXv07oy3CfLHyeY4WX1DFnso2HKhpR4dfQZvP2od8jvTtR96B2zqpjOsPCqH20Pacxm0ja5MFEl/EoGRcYS4AoPR4Ey753To8seZIgiMikoRzANwAYLnQGucShGmrk2hcm6yGXhPndBRvxeXlTvfifbnPV1DVQnVa+nIBRay90p+L1GoiKM0V6SYeZBFmq/mSLri2tGM/XlgP1rRjZ0WrEEeEtGMvW2GYo1A1jgde2427/rndfM0t7djd1gfCdDwibj8aDJElYggyVeNJ53ylJzoAgkgEn5hShOwMD771yk74FQ0HatoTHRKRBHDO1wNgYV5e0Z+xRINbk1W55kucyNrAFG0uTpV1YbNEFyDWfHHb63a3zYpDxnLS7Ns1ti0uY2sg6nDynOnT/hQVSshFEWvhwtFbcSi2C2noCKBVcNfcJi/v1vlKYHo2HjiaBAMOgWWOmBXqvpIJcr6IQUlhXiauXjTe/FI7Vt+R4IgIoudEnF5IKva2CSzp4iVfxADn3I6KtD3rsXXxjzS3o+GgBVxrvuzr2VKSEY7D6qjv2F1M4Jzj+Y0nbLVEkVxDGbEb/fObynHPS9G1uBQdM1lU9KbgfqA5X24DGUShu+ZgnTD4Q19O0XhSjfYk8UUMWm49dwryMtMwe0wBTjZ1wa+oiQ6JICLyy3cP4F/bKszHDiEkOFPGdclNGzhaTbhcxCxnx2o1AVgCyxRR4qhFNbwgMdOO0nbEfbm6WxGEohJB7MWCo/Ud+MEbe7FGmBhbnvMykvgSnbnt5c3YGGWjT/GY9bSZ0yXsSZPVaFqApBLy51d8btvJZnz5b6UoDQ2E0ATxmkzmF4kvYtAyoSgXux66CLedNwUa17sgE0Qy8+bOKqw+4BQC5ihDOJusuokDK91oH2UIOEdJGjVacmpQbG/hdMNc9ik5aaKgCNfvS3zOEnhOVyxe6TRf0N5uQ9xnQDovbohuncqjrzsSxZIoHsRt9sb5Gohpx5+8tQ+vb680z0d7aHBCm093KxVNcwwSSQao5osY1KR5GKYUDwGg/8qdPjI/wRERRHgUlduFCZdFj9APK0I9lLOzvJvzZcztaHe+ZCfMXgcW3mEwtmO0mnBLLbqlxxxzOorOl1B3Fg/c5lGUa+Gicb5Ubh8V2h3ieZDrldxSbt1tdsClHYW07Fu7qtHUFTDPh+HIWu9PcopPcr6IQc+U0GTbR+sHRgNCYuCiaNz26910QdwK5yNccOVRePYLubsLJT8OCs/LrpRbGlCV0o5u7pYp7GzCzL0HGOA+cjKWWGlUZ9ov4CIiZeTZBZQo836iWJCdL7dGtt0Vk4vTP53981V4fXtlVHEkEk3j+OOaI2jtcrbyEJ0vcwBE6Dm/1NNM484J3JMBEl/EoCcvKx2jCrLxzu5q7K+Oupk5QfQ7iqbZaqVM0eOSPoxU5yJfjNwK7p2tJuS0ozgPY2gdw4lyq/kytqvYHTRxm+41X/ZlXJ2vOF1UrWO2njPiCKjd71sc/NCTdgei0FS53TFzK7jfcaoF3/jHtrAi1HjeF9RQ1epDeQqUWBxv7MSv3jtoq7czEN0/LSTAZOdLbOYr94pLBkh8EQSAO1ZMw8nGLnzlubJEh0IQYVFUu/Mlpx1d67siPGddxMK/FnCILsn5EtJikdJbYr8wcTtu27YLM7vI6c4F6imaxvHo+wdR2+ZzxqyFd77cjkNGPJeqpi9b0+rDV54ri9jYWXQtjfXkbYpCYuOxRry1qzrsNp2DBKJz4FYfqMW5v1idkMFIkVp5GE/pLT80qKolbAPS54ycL4JIYq5bOhF3X3gaKpq9rl/CBJEMOJyvCGnHSJgXL5cRhLKbZtwGNctJAISLm2atE6nVhCzm7EXsoW2bk0ZDeM2+TXurib6nHatavfj96iO2gQyRtm/EaLXMsII9UteBd/fUoNOv4KE395piyOiFpmocO0614IN9tRHb24jHqmnuNV/2GQLsdXiO7cn1UFGer2P1naho9qLTnwDx5SJ8DcRBIRo3bu3HKLY0MT5qPf2c/Oq9A3jg9d29ir87SHwRRIgF44cCAHaeaklwJAThjl5w70zXKVGkwNyQe4KJ9x0tJ8LUbLk1WXVNOzpaTbikHV0EluzOiduORcF9JIfFzd1yOH+CNnh+4wl871+7sP1kC57ZcALbTzaH4hNTj907ZuK5lUdJuqVmuxv1afVh636QgC0OFycy3gRVDbVtPkf6W0R0/xRNg9j01ko7quayYjPinny/76lsw57K+JSikPgiiBCzxwxFmodhZwWJLyL54KGLsKJxtPmCOFLX7kw7xmA0m7zNgHTBlmu+xMauiosgMberhW+yGq6NhW2/Li5d0MUpixZfUMXuilZr3y5BW3VzYjzyaDprvYCqO5PGuRFTtsY2/MHIAkjT7PNzyvMSuoovQ9iG2abbJOnRkIhRgiu3VmDFox/BG7DEkyMu4bNg1NLJ7p7N+Qq9tuFoI67448c4VBvdjCYBRUNmWnxkEokvggiRnZGGmaPysfNUa6JDIQgHouPy1/XH8YU/bXTUWsWipkVOZcq1WkEhDmPf5mi6CE5UUBYALqk862Lv7AEmj8LUt+EcaBAtr22vxJVPfIxWb8ARjxmzEOveqlacauqKONpRUbk5B6a4jFh3ZLbacBFAW443YfYP30NjRyB0rMaIPmedn+t5CCOqzGJ0lx5rkZBdz3hwqqnLdiz17X50+BV0BXXx5VrzZX5ODHGlmefF+LHgV63PhvHZae7Uz2trhMnQRYKqhoz0cLON9Q0SXwQhMH/8MGw81oiLH1uLlq5AosMhCBMxxdjqDaLNp5i1LMFeph1d9yP3DuN298C4cJuNXbkgjFzmHTRwFtw7i9jd+mpZzVxD8bk4Pr057lZvEIrG0R5qxunmsJhOnsrxrZd34rcfHHKpeeN4pewUtp1sdrQ9EN0X4zmfKSo0HK5ttxXJlzd2whtUzbpTQ7RFGhChx2IXvzKyGIy+2WvP0pQ9pbUriBWPfoR3dlebzznPnYY3d1Zh41FrdgBrBKwGjRsDUdydL8127u2vdUdQJeeLIPqFG86aiGUzRuBATTu2U+0XkUSILozhrsTD+bJEjnWBCqqaY1ogsbjeWCfoIgwMrDSm002RnatIU+eIm+5LutVoeWF2sXeN2XJPugIqOgOKIx2raBy/eu8g/rn5pJkWluvjNG4dk9hk9vNPbMCzG044jkdM9Rp1TQbu7Tgipwd7nXZ0aWvhxpoDdVELGpF2fxABVUNzVwA//vc+/OaDQ6ZIF8/T46sO45kNx51xiWld6dzZpr8yxFeoDsxYRuRATRsufmytzRXzKxoySHwRRPyZNboAv/7CPADAoZro6gIIoj8QL+hGc1F/D0ev9WZ/AGw1Nabzozkv5FarifDbC7q4L7JzFa2IjDSXZHeY6anQBdlNkNhSq8J/wOlqKZo1B6NfushrQmrWcL6CioZ2v2I6b/r+nMLBGNEnC2177VtkUSUX3Ed9fqOo+TrR0IkvP1Pq2o+rO8RBHaUnmrC1vMlqlhq03hdFdR/l6xeOJ5zzZaRuAfu5l9lf3YYDNe22aeb0tCOJL4LoF4blZmJEfhYO1YYfCk4Q/Y0odoKaLBxiPxpNbmVgCDw5DahIDhnQ3dyO4Qvu5WW7IxghzdkdhjAyLshudVCiuDPafMgukhpyInVH0i6K3dwXvzkaz9keQl6fh/p8Gdsw9gc4a8305+zHsGp/LZ7beMJFMEb3eVHDbFekM6CLR6NAPhpWH6jFmQ9/YEv5Go6hIp0D47zaRsea845aNXXy+bUJXynt6DaC0vhBI6aBgyqntCNB9CczRuVHPSKGIPoDcZShcfGwCrrjtz9AvwiF6yVlc8gi9PmSW0wEIwjG6J0Zy93oKcbFNnLa0RI8RoNbq22BJYIMd8a6yEvOF7ecL0Mw+1wKyoOqXZiJoySd7TicqUj5GP61rRJ/XX/cEl9xcL7kFGs0HG/oQmNnAM1d1mAHVdMgTp/lF4Si/pl3DsIICI6f2Y/OOIfm+2q9Z37zfXEKReMHTaff7kSS+CKIfuS0kfk4XNeeVNNREIMbcU7FoPTrPi77k1ooGH8K8oW4u+7r8nKisOhzjH0ouDcuwKIIeujNvXjsv4fMZcS0o+HAuBXTq5I7Yzosiui+wPaa5ewIzpdbykxON5q31rG4pYD1Y9RsKeOe9vmKppZQ6UVRvhGH4ZYpquZIL4rvi9jHCwA0l+Mxdi9PrK1xCMLXeF/cnK+Q+ApY4iugJPFoR8bYcMbYB4yxw6HbwgjLFjDGKhljf+jrfgkinpw2cgh8QQ2nmpN/DjRiYONXVPzg9T2oCY2AU4Ti994UOUeLeC01LoSA0+EQnbBITU97W/QdiXAF9z98Yw+++vzWiOs6nC+VY/PxJpSdaLa2LzhF5lQ2Zg8vIS0WcmesdhJ258uedrSLPpvDKC0jptNkF8o25VGY9KAxMMNsw9DD0Y7ROF8BpXuBJmMIHa8gsAxxq8rOl+qSdtSMfVsC1uytJv0wUQXhK78vtphUZ9oxoCZ3wf19AFZxzqcDWBV6HI6HAXwUg30SRFyZMaoAAPD+3toER0IMdg5Ut+P5TeVYd6gegH6Blkd0xRuxnke+EIvF/qY7xoGn1x3DgRqrO7g8QXcsu6bLMR1r6MTRCNP3ANYF2CvUfCmqZheaYtrR6KTuEJEaOIfNnZFbGmia031x6/flKLgXhFM4B8wei+RKqoagkVKlUTqmahhHzbYPqfVINJgiMygKJP0cWzVfdufLPqG80300Pk7mQAph2xq3vy+ikOsKKGjpCpjrpVLa8QoAz4buPwvgc24LMcbOBDASwPsx2CdBxJV5Y4di+cwR+MW7B7C1vLn7FQgiTrSEhr6bLoEqXqD6R3yJgkR2ONwuuprG8ZO39+Pix9Y51hPTQbHCuLhuONqgX0gVzWwrEA654N5wX8RzqgjOlarJQia0vpDmMoSIOapOqPmS6478bjVfco8q7hxl2pPphQIhpy4eNV+qxtHuC0acnikcQUn4KoLwkoWZUe9luHhdAUU4Hm5bHxDEreo8h+L78uv3DmJreRN++vZ+3PxMqXkcHX7R5eXITOLRjiM559UAELodIS/AGPMAeBTAd7rbGGPsNsZYGWOsrL6+PgbhEUTP8XgYHvvSAuRlpeOfW04mOhxiEGM0++0KGKkoIX3SX86XKL4kF8TtmutWfC03WY0lWkgIXPvUZnz9H9sQUDXT5QiHPAegUbTtJjRVldsEgm19sSWCVNcmTi8kO18+lxSgW11c2IJ725RH7gJIkWu+elhvJw7ykHm57BTO++Uam0MVLXLaUTWFl5XWFc+BIYxf2FSO5b/+SEijWqlbORXpNr2QT/i7+eOHR/De3lrUtvlR3+E3P5eG82WsF6+0Y3o0CzHG/gtglMtL90e5n68BeIdzfoqxyMVrnPMnATwJAIsWLaJqZyJhFGRn4JxpRVh/uAGcc3T32SWIeGA0fRRTf4YQ83fj7sQKcd/RXGTdamrkQvVYonKgqkWviTvV5EV+djp83bQ+kIvjjVGLfmiOZYKanlpUBOcrILmPQY07UmZBFwfLJzlf8tyQgLtwCKoa2n1Bq9+XS7pSdiENp05262LhfFU2e9HcFUSnP/wcjN1t1/hcGQMZjDQpIBbO6/EHFA1VLV7UtPnMY7f3YZNqvoS6ObnVRGdABef6e+FXVAQUzSG+jMcJFV+c8wvCvcYYq2WMjeacVzPGRgNw67T2CQCfZIx9DcAQAJmMsQ7OeaT6MIJIOOdOK8E7u2twtL4D00bkJzocYhDS0qWLL3EUluEYJMT5iqJWy+/iOpmOUZycr8oWfXBMSX4W2rzBbtOOQSntqIZaeKia0+WzBJbmEJE+MR1suDZGzZfUqV7clthzav3hBtS1+0zxJLaoMDTNe3tr8JsPDuGyeWP0/YmOWZjUXzCUoraarHZfQC+iRkgpGgKzK2AXK9FgpnxtzpUhwOyviaNCA9L5cROp8jKKzXXUt9kR6i/mD2rwBzUEFGvb7SHxFTDFV3x+dEclvrrhTQA3AngkdPuGvADn/DrjPmPsJgCLSHgRqcAnpxcDAD48WE/ii0gIhvjqcnW++r/mK9zkzSLuzpe94D6WqJyjstkLACgekomGDr/pmKR57BfPvVWteoyyeAqlFcWBk/IIOlUYjefWk0uev9G13YHZasISHs9vOoHDdR2YP26YbX/iuapo9qIroKIplIYWR5Rac2LKzpcWGgko1XxFKZQiOV+GeDQ+iz1qNWGc+4B17oOqhgyVCR3u7WndoModIxltAksSxfZifLvzZYxo9Cu68xUUmruazldo/aw41XzFQnw9AuBlxtgtAE4C+AIAMMYWAfgq5/zWGOyDIBLC+OG5OH10AX76zn40dgZw78UzEx0SMcho8eoXWzH1J160+gOxfirc5M0ioiP307f34UhdR1RtC3qLqnFUtOjia2hOhjBvo4q8LPtl7uG39ukxSiMTje7qooMjd5wPuox2NF9TxVYTUuG8UJPkM1tNWOsxeGzui5m2FGIxBJ1biwolzKhERePmxOhiPD2dWNtteSOOLiF1eOc/t2PGqHx8fdm0iNs1046C62g2spVSt+KABnk0qFjDZna9V13OvTS9UP29KKcAACAASURBVLsvGHqswa9ormlHy/lK0oJ7znkj53wF53x66LYp9HyZm/DinD/DOf9GX/dLEP3FC7cuxWfnjsafPzqK8sbORIdDDDJa3ZyvYOSUWqwR047RiCdRfO2ubMWxhs6Y9PUKh6ZZzpeickcbCZE2r4JOv2o5X4rdffErGrg5cbNcVG8JLOPCL45atFpNuPT5kpwvMeUWCO1XkcWFIL68Zq2Ys2g+bNrRjNG+vWgFsCWYnYLbEJiigNpxqgU7T7V0u13r/RGEr2b1SxO3L7qI1iCJ0K3pfGkOgSlOT2SYhMZzxrRGfkWFL6giIGy7w6/ihU3lOFavf9cnrfgiiIHO8LxMPHjp6Uj3ePD0uuOJDocYZMitJoD4uEeRiNTnyw1xIEBDRwD+oBZ1qqs3qJyjMuR8+UNCBrCnSw06Awq8QdVRcK8K6Tl5wnL7NDbuBffiFDc+aTSqWPTtNr2QEkqpOZw2QbC6iTaDcIX0ctPWaAvuf/P+Qfzm/YPWaEeV4+WyU2gLOUZi/FbNl16v5Vd0IRRprseg9P64nV+/LG5txfj28yvWfPkl4SoeqyWwlND+NYeIrGzuwgOv78HLZacAgCbWJohEMqIgG1csGIOVWytcv9AJIpYcre9A6YkmAGKrCSXSKnFF/MxHo/tE56uy2Qu/osY1RSo6XwFFE+q5nIKv06+7HUHZ1XK5gFvOl1VwL48ctFotCP3XXJqsynVH4j4UTQvVHtnXE8+jIbq8Lilnsw2FY7SjfV+iWInE2sMN2HC00dzHvuo2fHflLtzz0k5zGWObXX7RwePwBVU8s+EELvhN+H7qcm2cPOIUsN4X8TW/VIRvHacwvZDUzNftWEXnyy8JsrbQa8Yo42RuskoQg4KL54yCN6hiGzVdJeLMikc/whf+tBGAdRHo6qZ1QjxxS99FIiCly/yKFlfx5VM01LX7AegXZrmBqkinX4EvaAk0b1B1LCu6LYDdmZHTWz4pdabHY3eaVGFibbnmy2jeKtYdye4NYIkun9BCwcAquJdqvqT4DUHS3chEX1BFUBCjxq6OCbMGyDVfxhQ/PkXDqaYuVLZ4w865Kc/tKDqlphsmpYXFfUUa5RvNCGCr4F5zHIeBKb6SdW5HghgsLJ1ShHQPw7ojDYkOhRgkcM5d+3z1Nz3dt+xMiPVM8aBCmIPVG1BMsSCLL1Xjuhi0pR3tYsiIF3Cm7WwpLJfieEVKZbqlxaz6I7HHlT5xuVdqUWEruJfFnouwkZ+Tp9oRW19Eoiugmg1a9e3q6xmukB5/yPkS04KKBn+od5Yes/vnRha+YmsS8zmpXg3Q+3OJ6/cWq+Decr7EaYUAoC30d0c1XwSRYIZkpWPhhGFYf5jEFxE/xItAV0AV5kLs3zovkR47X9LFUdW4KR7iQZvXOmftgkAwhEp1q56SNFK3XuGiaywjHqPYuwtw71vmmC9RGAkptkeQlzcQC+flNgdu6/slh85l7nKHwFXCpB27+ywZNXFGob03YBSqO2u+vAGrI3xQ06dnMl26MLMMONKONufLLmptzpfgWPUF47x2BVTzfemU0vqG0CTxRRBJwLnTSrCnqhUvl55KdCjEAKIroOC6pzdhT2UrDtdZqZ2mzkACo7LoaZ2jW5+veDaENS7UHmallAA97kO17fjEz1ej7ESTkCLjjgu/Le0oFNGLjyNhE19SPyrjdRGr4N5Kk8ptDsT1fS4ukVsMrV1B8FCBv1kHJadBhbYf4nE3dwb05wKqre2D3PBU32bI+TJaTYQapPqCqimgwn1u5MEO4jH5peMUtxFN2rEnGK4yYNWuya8l89yOBDFouP6sCVg8cTi+++oubD7WmOhwiAHC7opWfHykEe/vrcGhmnbz+Zo2XwKjsuip8+XmysQTQxTkZaXbxJc3qOJUk56S3FvVZnvNcD+sFKVT6AQ1uwsTCbc+X5GQRzsClnB0azXhCzoFmczJpi7M//H7+Mv647Z1HSMAQ7dPrj2GT/92LQD9B8C5v1iNN3dWoiuoIqhpZl2Z21RNlvNlCCI1NO+o5ipoRRz1dsL5daQdhXNpuFOxmiVBrPPqkNKOAUWDBxpyfW6T9vQdEl8E0QOKhmThievPAADsqWpLcDTEQOFQrS649la14WCtJb6qQu0TEk13k1QnGsMlyctMN6eOAfSLf3OoT9qJxk6Hu2HfRnjnKxqnpaeC09aiQnK+DMdK3GY0Arg+NOjg1W2VNvElF9wbLtz2k8042dQFTeNo6QqiM6DieH2nnkJUnAMI3OLvklKMvqAaddrRLLgXlpO78YvnwHj/4uGi+hXNnEpoJjuJ76f/HRuzvoGJq26P+b6A2HS4J4hBRVFeJobmZNhG/hBEXzhQY4kv8Ve90bsqPzvdVssEcKRBQxo0MIQcHLDQI+sWiM1IrUQW+0eDIQ5ys9KgtHHhec0UVeWNXQ53Q8St5kucHijWiB3/jZGQkfYTjftmOFVNnX5bvZgsDI19nwg1jfYGVVNENYRS3XrjUt2fEd9/zjkYY44+X+KoUbdaLhEz7dhNYb6MPKdjLBmFRnwxqwwXK2swy3MSQZ6GNdoCzFv4VeRwDrDYjnok8UUQPYQxhikleThK4mtQwRi7GMDvAKQBeJpz/khMNnx8He7afTO+nqUgza/Bc5IjPZuDcRXZa4EbsxSkgYNl6WIrnfXswqNxuygDGFR4EEQaAkhHEOkI8AwEjftIM59TWDoCPB1p7TmoT09HF7LgRRa6uH7biWzzfhey4OX6c208D23IRSeyESsBGAnDORkiTSXkD6poDvVJO9HYGbFXmliT5Y+yMD0WiN3ZIxGN+9gZcoaaO4MRR5ca8x2eaNRTsp0BxTw3DSH3TJzv0CvsuyugT9nkk1OHQaMFhjU5tZx2vP2FrchK95hNVs2Rnz10VmOVdhyBZlySthmfTduExZ5DgAZsxzQ8wm7BS77FaEYB1s9YFnPhBZD4IoheMbVkCNYeqk90GEQ/wRhLA/BHABcCqABQyhh7k3O+r6/b5jnDsEmbiYyMDLT4NGjwYOHE4dhS3opxQ4fgeJMPI4bmoqrVDxUeqPBA4x5oIRHFQ9UjhrTyGLfMkFrS8+DwQEMGFGRCQQYUZDDFfCw+N4T5kMkU5KpBzErzIRc+5MKPDBadU6FwD9qRi9aQGGvjuWhDHtp4LlqRhzaeh1bkoZEXoIkXoBH5aOQFaMEQ87iiwXCF8jLtlzRvwEo7nmrqsnVoj4Q82jGeiDVffaVLqImKJFBUjaOq1WsVzfst56u+wxBfQg2bIKKaOgPISvc4RnuK7pgxJZYsqv6zpwYAUJKfZXs+WucrFpSgBRenbcGlaZuwmB2Eh3Hs1ybgV8GrEZx5BW6+/AI0vH8QzVsrAMSvySqJL4LoBVNK8rByawXafUHkZ2ckOhwi/iwBcIRzfgwAGGMvArgCQJ/FV23OdNzp+yq+deFpePSDQ1g0sRAzPz0TD/3fRszLHIo9aiuWjxiJ/zbW9nVXPSY3Mw2cA1lpHrT4LeGSAQU5ISGWy/zIgd+8nwsf8lkXhqITBawLhZ4u5PFO8/EIVKLAo7+ew9xHc6qcoRn5aOL5aEIBGkLirAn5qOOFqOXDUMsLUcsL0YihpiuUl5Vm245PUU0hEFQ5jtRF51a7Te8TL+TJvPtCp1DT1p2gE89FZ0AxxVNDSHyJTWO9kvgqzMt0bE9cxm1KrFph8Ih8vPEdoMFxGqvABZ5tWJG2DQvZEXgYx0FtHB5T/gdva0txlI8FAHwpdzxGDc1Gbqb1OYpXqwkSXwTRC6aWDAEArDlYj+UzRzjSHcSAYywAsb9IBYCl8kKMsdsA3AYAEyZMiGrDRoH9ksnD8Z2LZuATU4uQk6F/+Ve3+lCQk4GsOA137w4PY2AeZ82XnqIcgjYMAcQLp3QRve8zM+HzMDzw9n7X7WciiKHoQBFrx3DWhmK0YTjT/xehHUWh+7PYSRR52jCMOSe2VzlDPYahNrMQnvpRWJaeowszFGJcfTWaWnNQ7ElHg5aHvVEOkhHbQMQbRYtd938xrdpdgb4ovroCqjmSsKFdF8TiJNc+SXyNc9m2uIzhionP7a5oNe8H49h2BNA/V0s9+7HCsw0rPNsx3qNnKXZpk/E75fN4R1uKw3ycYz1DaBl/f0D85nakKwZB9IKpJXkAgDv/uR2XzB2FJ647M8EREXHGrejDccXknD8J4EkAWLRoUVRX1Fmj8vHrL8zHrDEFWDqlCABwMlSL09Dhx/jC3Lj1GuoOxvS0i73YP3oumDUyYrF+ABmoRyHqeaHL2XSSDgXFaMVI1oyRrBkjWAtGsGaMRAtGsmacptThorQ6FLOQyDoCXAPg55lAF89CbXkxbs4YjipehGpehCoUoYoXoYoXo4oXwQ/d0XlrVzXe2FEV195kBuKURX1FbJ3Q3UhZm/PlV8x1DdHGubMlBKCLL7eGuW7vs1intrtSF195mWnmzAGxQ3e3zvXswdmePTjLsx9DmA9enon12hw8Ebwcq9QzUIfCiFsxxZfgfFHakSCSiElFefj8GWNR0eTFf/bUoLyxExOL8hIdFhE/KgCMFx6PA1AViw2PKMjGVWfaf4XnhtJnnAMFOenmEPj+Js3D+pR2SfcwZGXE7uKlIB01KEINL3IVa1+ZOxlPrTuODCgoQQuunpmB2opjWFrkRVP1cYzU6jGGNWGZZwdK0AoPs2+kkefrwqyqCJW8GNUoQpVHF2iVvBj1GAYtxh2aYlnUL/bEqmiOLL6ON3Qi3cOgaBxdAdXsHi/iNvVSU2fAVgNm4Oa02ZyvkPjyMIag2tcaL44prBqLPAdxtmcvzvHsRQnTt39MG4XX1XOwWluIDdps+JDVzbYsjL8zm/MVp789El8E0QvS0zz4zdULUNvmw7m/WI2/fXwCD10+O9FhEfGjFMB0xthkAJUAvgTg2njtTCwcz8/KiFvdSXd4GMOQ7HSgly3t0tMYGOu/2HND5y2IdFShGIczRmOVvxBDJkzER756HKq13J4MKBjJmjAWjRjNGjGGNWAs0+9PYHU4y7MfBazLtv0gT0MtClEZcsoMB816XIx25Pbb8UbCaC4bjlZvEEVDMlHb5tedLxfx5KYLGzsDriMv3Zb1KSrq2/0oyc/C3ipdHHUKc29GSxYCmMeO4UzPIfP/cKa/l/V8KNZrc7BBm42P1TmoQnHPNi4gO18ZaQwsDiMdARJfBNEnRhZk45PTS7DhKM33OJDhnCuMsW8AeA96q4m/cs73xmt/2RkeMGY5X0baMTvD068NTz2MYVhO7weUpHs86M+MqVh7mZ+VjhavLhSG5WZiYlEeDtV2ICcjTZ+7EOmo4CNQgRFhU5756AoJM+N/A8awRoxlDTiTHcKlnibHyM82nqOnNENirDJ0W82LUIki1PLhCPbDpfdUc2Tx1RlQMDwvC7VtfnQF1Kh6uWWle9DqDUbVcwwA9le3Y8nP/ou/3rgYtW1+ZKV7uu3+n48unM7KMcdzHKd7TmA2K8c0Vmm2WDmqjcYH6iKU8dOwTZuOo3wMYtXOxBBf2RlptsfxgMQXQfSR6SOHYP3hBqgaR5onMekhIv5wzt8B8E5/7IsxhtyMNHQGVBRkZ5h1JzkZaf0svoBhuX0QX2kMaXFyDtzIE8RXQU4Galr1EXaFuZmYVKQ7UkVDMrtNyRm0IxftPBeH+HjX1z3QUIxWjA2JstEhYWYItXmeYyhi7bZ1NM5Qh2Ehx8yqN6vhw1HHh6EeQ1HPh/UoXeZGVUvkqak6/SomDNfPSWdAsY2UDEdJfhZave7OlxtH6jrAOfDa9koAwKzRBdhxqgX/v70zj7OjLPP976mqs/S+d9KdTrqz7wlZyEIUIhB2DLiCAnoVEXGcwWUUxXtHnXF0dHR0lKvDOIu444jAdWNAcRAQMEJYIySAIYFAAmTf0/3eP6reqrfees+Ws1Sd7uf7+SRnqe05dU6f+p1nBQS6sAdT6QVMs15wb+l5TLVewAAFP2RfFB14fGQIt40sxSMjU/DgyHTsRGtRxy6EbVEk1y7lhMOO1cy1ZPHFMGUytbsZR4ZHsHXnAc77YipGY8ZxxVdDSvtFXlyvqkpgW4S2hmhbgWJxLKppsYDaaqIl6/iht47GFEa8v82u5kzR4qsQI7CwHR3YLjrwkJhuXCeLw+ijV0Nesz64j2fTczjdehBZir6ne0QDdoh2vIw2V5TJf2jDTtGMXaIZu9CM3aIZu9EU8qY1pm3sOph/KPu+w8fQmk3BtggHDg/j4NHCRRU9LRns3F/I8yXQiv3ood0Y2L0RU62XMfTkq/iMsx3LDu0DpbdggHagiQ77WxwQGTwj+rBuZAZ+MHIqHhdDeHxkCDvQXtCmUpF5bq1Zx+8BJ0lZ4WpH9nwxTIKZ2ut+qT+9Yx+LL6ZiNKVt7ADQmk35DbbVROBaYBGhoyzPl1W1ajETjemw52u/F0pra0z5/fjaGlK+10NeiFVkuLdSHEIGz4o+PCv6cqwh0Im9GE+vood2o4d2oQe70Us7/cdzaDN6rIfRSrlF4z6R9cRYEw7ZLdhzIIs9qbQ/geAg0jggsv40gqMjDhYd6EJLei8GX9yEjiMCa6xdGIYFCwIOhpHCMfeWjiGFYcw91oBDe/dh4oNZfNp5Bs10EK04iGYcRAsd8FqE7EGGPCE3AngFpNhlN2EYA1gnxuPukfnYKrrxtOjHppEJ2IbOkprqlkND2sbeQ8fQ2pDyxZdFbs6an3Dv5XxV87PL4othymRKt9vz65kd+3HqrJiNYUYNUki0ZB0/TybtWBUXB/mgcsOOFsGxLV/kpB2rau0bHItC/dDalFy1jsa0nw/WnLGRdSzsPzLsX4hVmtJOaAakSaBVFsKrcJvIFmq30YBD6KbdaMd+tNM+tGMf2mg/2rHPfUz70UH7Mc7aj/FHt2MyHUaDFTTBjYymkvW6z7o37y7k5HzVvRl5ykGHncU+0YB9aMReuL3V/iQm4WXRhh2iFS+LNrzshVBfEF1obu3EtafPxgd+8FCpJ6iiNHrvufx8ZLy/qUNHR/yeXkHOV/VC5iy+GKZMOprS6GxK86xHpqLIEFprQwq7vY7hjk1IWVZodIz81V4NbIvQ1lhe2BFwL3DHjgwjU0XxlbKtUIizJev4NvS1ZdGSTSFlE5rSDrJePl2jSXxl7JD4krYngYPIYovIut1+cxUJZB1M6WjCw0pTUxeBFIb9yQQpOoY3L+rHH//8Mqb3NGD/wUN4ZMtO2BjBCAhH4eCYN+fzmLCRSqdx/qJBfPehl/GJ807AR296tCRhOq+70Rc1ceL+qDkcEl8CnvjyPF2ywz3nfDFMwpna04Snt0e7bzPM8SI9X61ZBwe97uOOZcGxCUeG4VeOOXb1BE251Y6yACXjiZ2MY2Mvjq9hayEcO8gvcyzye0xdsGgC2j0B+cE1M7BgQjvuffoVAMGFWKU54+Al5Tkp1OqFjGOFwq8BFJlMsL9lEK82NOMZymAnjuBJ6sgpptqdFDKtPdh1ZCf2eOK0xZA3JdGF2eTuppqHzU1IYdXqfa6zKRsjQmAvECpsAaqb8xVP8xiGGWVM623Bhhf3hJoKMkw5qBcJeRFwLPK9SX4voipW2JZT7ehYQY8kGQ6s5piklG35+087lt+x/cpTpvrrXLV6Gl4zvdtv/KrO8JPI8KQ8rXGNdjpe0rYVmXGZi6xjozFtu32+Dg+juzl3haVjWf5nYfteV5zmm2srBe/41iyyKQtz+tuQrWDD3VKRIUT/78rzjGZSQV6io+V8JVZ8EVEnEd1ORBu9W2PvfiKaRET/TUQbiOgJIhoq57gMkzTOnd+HvYeO4VePvRi3KcwoIfB8pQKPjk2R+XNONS8QRGg/zmpHte2KL76qePFVc77SjoXPXjgf//HOEzGttzmyrjx3RvGVdScKjG/NAkAiQmWlkEnZaDB6vkzrWmjKOG6H+6PH0N2S+71O20EIWrbwyDfTVgq1gY4G/ObDq3HRiROP+1xW4vdFWuvhlU3ZSDsWso7t53rpfb6qmXBf7p6vAfBrIcR0AL/2Hpu4AcAXhRCzASwDsL3M4zJMojhpaheGuhrx3fs2x20KM0qQ3ouWrONfFFK2Zfh1Xk3PFx2350v1GmQcO3RbDVK2hbQdXDQntDfgdbN6jevKi6tJpHQ0pjHeyxEDXDFTS8rNM0rbFpoMotKE7/k64nq+ejzPl0nsOLblh6Bf2nMIFoVnIOrIKtm2hhT62xuQsq2Q+CrldaYdK9JDsVRBJo8nBXfGsZFxrJDnSw87VjPnq9w9rwXwbe/+twFcoK9ARHMAOEKI2wFACLFPCJG/9S7D1BmWRbhkxSDWbd6JP27eGbc5zCjA93w1BJ4v2yI4NexFZFmENoP4ytc3VYZFQ56vVC3CjsEcyUIXTRn+akzJC3Gw/l+fORPfePsSd6wSzDbna6bsFKEK8q1Tbl5UJpUr58u8blPawYHDwzhwZBi9La63zxROTNmBEH9pzyHXc2T47MkfA7I/XKuSM6iKtVJepzspIXzOTJ/7fJ4q+ZmQo7syjisGM47tLwt+5JA317SKP2zK3H6cEGIbAHi3pp8ZMwDsIqKbiOghIvoiEeU860R0BRGtI6J1O3bsKNM8hqkdb1s+Cd3NaXz59ifjNoUZBUzpacL41ixaMk6Qk2JZ/oVBDUVWC4vcMT0SKbryiQdpj3rhqkXOl9pTrKD4cmxYFIhC1SMzqbMR8ya0+dWSpjyltHKRBswh1nzkW6fcvKiSc7686s6DR4fR0+J6vlobouItZVt+CFqOCpLhOlWMy1Bku+L5Co4XvDZTyFciT6c8v45NEWFlElr6+66+L3KZFICZlOUJMCvIqfSOR0RoSNnx5nwR0R1E9Jjh39oij+EAeC2AjwA4EcAUAO/MtbIQ4nohxFIhxNKenp4iD8Ew8dOYdvC+1dNwz6ZX8B0OPzJl8uYlA/j9x0+FZVHoF7nsmyUFkOzKXQ1sKzxY2KKo2NCR9oQFibzgVT6El/LFXtBqolCuTjbtXliljVLwqEUCUkSYQqX6cVRRUUxek+k8SE9QuZ6vtGOFPEz5vJTS87VPqV7MOBZajZ4vy/eCHjw6jGzK9os9VJubs04o9JnT85VHfGVTQWgQCKp8Q/YYBKx8X+RHT/0cyPtq2DGX50vaZzpGpSi4ZyHE6UKIeYZ/twB4iYj6AMC7NeVybQXwkBDiGSHEMQA3A1hcyRfBMEnh0hWDOG1WL/73zY/h3k08bJs5fogCIRB4uVzhlVaEQzV/nZN25fY9ElbU4yGXyYukY6mCJOz5quS4R3mclNJqohjPV9qx/NfhX+SVC7yf82UQdBntOKrgyie+5DnKGuyTcynLTfDPOJYfWkvb0XCdivR8SRrTNvrasuhvb/CfI+V9bck4/mvobc1Gij8AoDmTQiZlIeuJnLDnKxp2VL2Aac1DKm8d5QeIRIpu9b2W75F8P1Xva9oJ5/llHAtnzh2H1TN7jO9xf3uDX3RRDcr9q70VwDu8++8AcIthnT8A6CAi6cY6FcATZR6XYRJJ2rFw3dsXI2UT7trI4oupDH74xbsIpZxoqKQa6Lv2PV921OsmRZBjsCtIuLci25WLem4ci2BRYc/XuNYMepozvo1SHKp2BWHH3CJBr44D8ld0+uLC0EFdhgpN4quU3KO0Y/nenZQd5AhKsa7n4jUp+WGNaQc/vGIlPrRmRrCO8loti/yGvm9cPCHSEd4iV8A1pGxfaKniy1LC5YEHKrBP96T54kup8g1CvtFQti6+04rYk881ZwIP41+fOQuXrRwKPMtOcG6+d/lyfPSsmagW5f4FfB7AGiLaCGCN9xhEtJSIvgUAQohhuCHHXxPRowAIwL+WeVyGSSzZlO32/dq2J25TmFGC2jzUvRCRfxGtdqsJALhq9VS89+Qp/mM/5KmIAt8TZ4XXAVRPRuUrNFUhRORe3At5vj5w6nT8+MqVvo1SPKiCMQg7BgJAvsZAREnxEa3slPtWvXy6CFU9QVIEmcKOQc5f4fOWcWw/4d5RPF/ynKtiJZuyMaUnmEfbmLYxvi0bEky53rO1Cyf4z/lhW1vmUdn+OW3TmvRmNcEmb21vFJX6nBSpjpL8rs9dzBgElu5BA4CMt/6U7mb8/YXzccbcccF2Sk6lpDnjVLU6t6wO90KIVwCcZnh+HYDLlce3A1hQzrEYpp6Y09eKuzZywQhTGYImkG6oLGVb/oUiXeVWEwDw0bPcoaXfu/85146Ql2vYu0/AUcXzpVzI/GrHVHS7cmdVBmHHwDNSSHw1pG00pO3gYu9IAZDb82V7FXfDIyLamkDJX1JDrMeODCOlTCDQPV+ZlAWvX6nv+ZL7ksO/5Xa5ZlHqpB3LDyWmbAvHvHmOadvCoaMjyCgNaDOOhROHOnHugj78/JFtvlAKtwkJn9/LVg5iRAi0NaYivbPStut1a0zb/nnQxVdD2saeQ8d8kZk1CCxdPKk/MBrTNnYfPGr2fEW8Y9GEe8cmvG35pMg5U7erBTxeiGGqwOy+Fvzkwa3YsfewX0HEMMdLOOGePPEVza2qNPqupRfHNni+9DBo3rCjt8wiN69suAz1JUNF8niZEqrUgm2iF+uI58sL+R4+NhIRJKoHK6sUF+w/Moy0Kr60BH3VsxLkfAW2qOILCIZCq8JMkrbdmZ9pJefLfT16KC7s+QKAr120CJetGMTSoc7IefAFs/dh+Mzaef6yaMNfwvtWT8PeQ0exzWvEGvF8aQ1u5etV26iYPF8y/9Afeu1Ec75SmmgL5YMZkur116GGHasNiy+GqQJz+lsBABu27UFPC1ftMuUR6vNlW74IA9Ty+PI8SCYsLTNeF12q8AvCjtEQmX4xlNtZRCByfWByQHixr0PODlQb0ALFeb7Ufbj2RcOOg11NsC3COC/p2raCc657ZtKO5dutFxeERWjY86WGK/WE+5TnqVKPJ2dRwSGdiQAAIABJREFUOibx5bjiKxPK+bIgxEjo/KiCT9pjWYTlU7qC82JokJs2CBNffCnHWzLoDrp56qW9OHlGDwa7GkPb+FWd6ejr1XPw1HNoeSFl/UdHqBBCazWiCi01N1AnnzCrFrU7EsOMIeb0ueLrsRd2x2wJMxpQBUZnYwqdTWkllycqdorJDZIYu5kbkrPddcPPq54C/6Loi8Lg8tLXlkV3cyYQZr7nK/Bo+AnhRZZCWprYkxfXt544EWfPG1/UPuQFPGNIuF82uRMPfnINJnY2+Dbr51yvQlWX6d4xdX097wkAmjUxkg4Jh7CHydhgVBGCUnyZ8tRMni8dU482k4dVvv9+XpjyeZkxrgU3vGtZ5BhSePphRz/kSxGBqB47ZVvIKFW+pp5uJlEcLMs9jqsahSCFYPHFMFWgvTGN+RPa8KM/bMGx4ZG4zWHqHDXh/lOvn4uvXbxYya2KCiWrBPFl6tklt8/VasLPszJ4vqRd6n4vWTGIOz9ySuTCSRTss5geYiG7KSwApU1/edp0nLegv6h9+AnjBs8XALQ1pvw8MBkWs62ooHG8ZSk7KiDSBvGV0fKdAPh5WlknKrDkPpr8XC6D90Y5rvSipRVvkilHKlezV/V9NYlI/ZgN6dzCRqdBG2qeSannMEe1o7dMrfJVw825BKYpd830w8TvFVfDsCOLL4apEh84dRo2v3IANz30fNymMHWOWu3W3phGT0vG4PlShFAJjbT00KI8jrvMvK4pr8u/KBrywRzbQks2pQg0xfOFcDioGK+dRYrYs3KLg0LYfo5Rbu+O3K2sNFXFl+p1lMvy5ZHpOV9q2HHxpA4sG+r0BYAqBKRwaFCqGCV+Q1HF66N6vnJ569zjmz1flteyQ13fJPhS2usppoo1mKupNVK11WpHK7LMnd0Z7W9nE0XC4aZqx3wTITjsyDCjiDVzxmHehFZ8/TebcJS9X0wZpB0LrVkH3Urxhj7GR/UYFes9yrWuFG+6iNNbTahiRQ872kYhE75wWornSy4rxmsnc8XcfUXFXrEE7Rdye5QCz5esMiX/vKheoZRXiSpfh6lST29RIY9rEXD+wn7cqLS/MHnM5CxKNbznh05D4ksm3CtVsSZBkkds6B68fInqas5XIRpStrF1hDq/MVqg4XkVnaiYtD2vGFFwro1eRzu3wJo1vhVz+1tLCteXC4svhqkSRISrT5uB5149gJ8+yN4v5vixLcIdHz4FF50YlMjrTU1V4VDMNcTUdNNfpsy4y7eNsc+X5gEzbS9tdj0s4eeMYVTvrjTHomC7cprNBn2+okLJt1kRnNLrJQViWslXsi2CrXiaTN6UIOcrnHCvHtfWXpd77HCoTh17IzWuGnKzLXJnL1pqjlTY5rRj5RW6epjSdH6DPl/msK2JbMr2PHJhr5nqNcxqrUlkoYkaRk0r4ksKMJMoluQLO56/sB8//8vXRj7v1YTFF8NUkdNm92LehFZ86+5n4jaFqXN6W7KhkJHePLNYz5feLiKv50u7QgSjZqIXNz23KN9+pTBTPViBPUE4KbJMPqF4zEx9xYrF1jwlpguzGip1tIt8WhF+KS/vK+p9MYQdtWTzVOi9C3uqLArObeAlyu35CvLDHKScaO+stCaqcqG27lC3U9HHKxXj+cp6rUAiws0iP9cs8NIFXrE3Lp6Ay1YOhcZJAYH4sigqfEN/L9rnM2641QTDVBEiwprZ4/FPdzyFfYeP+b2DGKZcbF3skHoBzy2+LK+vlim0aJHb7sFSxFHomFpelurp8D1xVu6LnKUtswgQWijT34wCW107hLv9iPDClbpHp/SLqhQ9QW+t6D6CWZVu3pGtepOcYJljWxgRIxFvmsnzpbeccAwiVvXsyH02GsJ7kZwvJaHdsaI5UmnHFbWFZkjq43zMni8v7OiHQwu/B2vm9KIl6ygiNdi/L3Dt8GtxLMJZ8/oAAL/50/bQseX5cVSPpPbjwCLVU1w771Y+kiEBGWYUM1fp+cUwlSLop+VdhEJhx9wXmMCrldtjJtfRw1KRVhOGPkr5PF+6aFPDh0E+We58MFtZV9qmi75SsH2hlDtspr5mKQ70qk3HC4eFKu8MoiXXWKJ84VtLSShvUHK5JLoXMm27r6U1m/Lyq3Qh4nqYCnm+pDDN5BGmgfgqXticOmscPnHO7MhoJ9vzGqpFAqb+a36/LiVMLUPBvkdS83ypAraUfMhqwuKLYarM3Amu+Hr8ee75xVSOYhqeSlQtli/sqIsrXcT5YUfNA6ZuY6qE9PevCQsiiggs+TLUSkhdMFrKdiknEEClEslrMnhu1OICmUNlajWR8hLGdeFgyjvS5xqG87so9LrU4zWlo2JEvkd6kvrn3zgfHzlzZsRWub+Cni/NS2cWX2EBVUpILxhKrp5DeR5zH1v/3MsWII6Xc6e+1rQi8k3D4OOEYyAMU2XGt2bR1ZTGus07Mb4tizPnjq9pYiczOklpIscxiCj1sRzho4cO1XV1QaY7CQIRlPuimM8TpSavy/2LSKuJwEND5NpsafaQYref03Q8CfcR8WCwWTkn0vtlaR4WGd5zPTdh75apX5een+UYPF9+2JGC5HRT2FHe1RuLLhhoD+1bD2MWzPmKiMjouZHzL9sbUznXybl/Q86XY3tFC34VatSLqnvy/GIHS024D7xpFrnrNKRsEAXvS9yw+GKYKkNEmNPfip89sg0/e2QbfnjFCqxQRnkwzPFg62FHgxdKjryxiTAMT3xpIcXQdnr+VY5WE3qIUc3B0sNCKrpXxyKCQFgUqrbrnjjTsqBrfukXVT0/y1gkoIjVEb/PF7zXGoQNUzZhRKier2hIUU8kT3khNtUbEySNB+9TNOwYiFHpHTQlmav78z1Fnheo2JyvfJ6vU2b04vuXL0evN4KpFM9XMF0g3OdLzVPLGERxtLDDClWiAqqXLxBnb1g8gCk9zX4bjrhJhgRkmFHOvAlt/v17N70coyXMaEHvb2XyngRCK9jOUsSEeqsuy9nhXhNBaugn0oDVIGSCkUCBeNAFluqRi+R8Kfb5fb6c3McrhC4AjAn3yrH9Pl+aVyjwehlCkqGwoz5MOsgVk+heRVVUNCo9sYBw2FZ6ofSiHr16Unq+sgU8QCnNg2dsw2ERTprWnVdw596/J3ydsIiSghQwh4P11hm259lSm61mlH3KnLm2hhROmZGcObvJkIAMM8p592smY9HEdlz326dx79Ov4ENxG8TUPaZO3xJ5QQ6qA6PCzNI8YOqySOWhtt8gcT4qAhwresEM9o+QzUTSbxNOwpfH8oUZ6csUsaeJi1LQw1v5BKNjE3pbMxhWzqc+2/GYoVFovvFCKVvmKxk8X8aE+7AnyKJAIL9mWjdWz+zxC3wkES+lJ+bUAdv5z020ZYaO/1ksQQAH4dkg7Lh4UgdI2Z857Bj1fMkea5GQrRUIs6TBni+GqQHdzRmcMXc8TprahfVbdmH/4WNxm8TUOX61l6G60A9FaqLFvY/Q+mHRFhU5KnpDVFUERMOOphBe2GZVn9la+NTcAyw4XjTpvfTL2QkT2/GGRRMw3/NM5wuV2paFT50/F/962VJFIAVita8ti/GtmciIHDVk1teWRWvWQZMX+pI5ZGrTVF/IKKEzebwZ41ow0NGAKT3NANyQo3zZKdvCqbPG5WyMq46ociyrsOdLS3rPd37Vwe/FMrmrCeNbs5ja0+Tb9Y6ThvCVixblzTfzP3uKYJYCyy8+SAWff1upjE0SLL4YpoacNLULx0YE1m3eGbcpTJ2j5/KE5v0ZcqT8ZZG+WrmFWa6wozk5PmxHvoT7lOLlktd023DsIAwath2gaOXlcSTctzem8eW3noCWbMoPeemo58uxrVBneHVe4OffuABfVYSDqdfUGxYP4HcfO9Xvi+UPjFaFs54gT0E+04T2Btz9sVMxsbPRO0eBfbmcO3rjUYsIEzoa/H3kQoZz/ZyvPJ5FvdK1GCZ1NeK+T5yGwa6myLZ60YJt8AyqnjwpwPRzb1uW6xFLoOeLw44MU0NkBdKGbXsSlX/A1B8LBtqwbKgT47xk53DbB/dWF1Puc2HRlT/BPXxMfX/+HEdSktANuWS6XWrPqWBZeDvVm+aLPOV16V64fHMKi0G2LNAJZlUqtnrHbso4aM066GvLKv2qpPclnEcmBVRbgzpg3PK9X6odgCKWvO1M46NM71n0dUVzyL5/+fK8veCAaDg3X0gxpR2jFFTPYmBzIKLaGlLobEpF7VK8jvLc6qLYthDKBUsSLL4Ypoa0NaQwrjWDjS/ti9sUps6Z29+GG69cid9t3AHALA5MoUVT8jog2zeE14l0uPc9V2HBE6o+1MKhoe21LuNEgAXN1pAYhGdH+PhqMn46T5izFN564kScPKM7arPmKVRtzDo27rnmVD+MCLjFNSdMbEdXUzq0nXouVUHneAO7/WWRvDtCe2MaHY1pfx01LEzaudHRc77UDvL5kInvemsHE8G0hdLfA1O+mPraf/FXr/XPJWCqdiSvQtIyt5qwCMcRka46LL4YpsZM723Bpu174zaDGSXoYUTAFHZUl4W3syl4TJpoy5XzpXu+TAOyzW0b3NuUEq4c8VpN6C0zLCKM6GLQ5BXzRUV5V9jPrJ1nfF4XhaodtkVoyaZC65841Imb378qJIrVHDUg3O9L7ejurq95qojw3pOn4K0nTgyOr7xnpsIJk/2qJ60YUna4oWw+casXYJSC/kNBve94odbQ+lb0cybbf/ghW93zlcCwYwL1IMOMbqb1NmPj9n0QXtNLJhkQ0ReJ6E9E9AgR/ZSI2pVlHyeiTUT0JBGdGaedOnpSOmCqDgzWj7aECLxXubb3t/WuGGq4Ua6n52DlzZ8yJOpHk+opJDLU45EiOtReW9XA5PkxCQYdtZ+aXnE32NWIf3jjfJw+e5zfpiI4XlQsNWWckAiRIpm8f/ls0YsDihUifkhUy6PKd4xSqh0llidOTXNCTa8ppX2+ZNhWtpUAwvltajgySbD4YpgaM31cMw4cGcbzuw7GbQoT5nYA84QQCwA8BeDjAEBEcwBcBGAugLMA/F8iyl+nX0NMQkD3fIVyq3Rh5l0FSEl+D8Ji4WPpXjYpLNR2CMFF0VQ5qCehqy0qdG9dgfw0b/dpLQxVafyCAINnJq/4UkK+6ixKwD3Xbz1xEpoyDl47rRvLJ3dGtlMT7iM2UfQc5crh0mc/Fpv/lJKisYgeXrZFeO8pU3D6nHFF7dtkY7Hn1+9bpryed62ajCtPnuJ/XtXWIZYV9gonBQ47MkyNmd7bAgDYuH0fBjryVxwxtUMI8d/Kw/sAvMm7vxbAD4UQhwE8S0SbACwD8Psam2gk6EMV9cyYkrH1ikVf0CDoll6o1YTfFsITT6YwoNHz5SfcKx4sabNml0UEoXn1jH2+DCN6KolpXFKusGxoO827l0v0fFoLd+qeQ5PXRj5FhnYcUfv1UFyR4svrXbZwoB3nLejD7L6WnOsSET5+9uyi9pvLRjVsvGxyJ962fBJmjIseU8/5cizC62b1AgD+7e5nAbhDxTOOha7mTKgFRZJgzxfD1JjpvW6Pnvfe8Ed84Vd/itkaJgfvAvBL7/4EAFuUZVu95yIQ0RVEtI6I1u3YsaPKJrroniPA7Cnyl0W8SVEvVKFWE36Hes/rZQo7Gr0WevUiIWeembvM/HrU7fTWA5XmeD1fai6W9A4Wg6nPV859q97BHPu3tfNTrPia1tuM6eNa0NmUxtfftjiS21ZJ1p4wAaumBcUOnU1p/P2F840jkEwjqiRSf7c1pnDXR1+Hc+b3hfLWkkTZn1Yi6iSi24loo3fbkWO9LxDR40S0gYj+mXiyMDNG6WhK49pzZmN2Xwv+894/Y8+ho3GbNGYgojuI6DHDv7XKOtcCOAbge/Ipw66MCXtCiOuFEEuFEEt7emrTSiSfd8skEiKChoLnSfEsuevox/K21cYKqSLAz8HK07YhpXhhdMGndrqPdLjX8sGIop6QSmPyfOU6P6btpHewWPNMfb50yH/PSAkb57IjfH6KFYHvOXkKbnzvyuKMLpPPvWE+1hQZstTD28YfHUQY15pVkvGTJzcqEXa8BsCvhRCfJ6JrvMcfU1cgopMArAKwwHvqbgCnAPhtBY7PMHXHe06egmWTO7H2untwy0PP49KVQ3GbNCYQQpyebzkRvQPAeQBOE0FFxFYAE5XVBgC8UB0LS8dU7RhUMIbXAaKCTPU46d6rXK0m1F5cMqHZX2boi6XbKj1n6lgi3RNHiudLr8yUuU5qSKlaeT0WAWfNHY8lQ2peVtgu43ZyHe38FEKfxWgOOxo8Xzle/7kL+pFN20axUo9Exi8pr2fl1G68ackAupvDbTlGa9hxLYBve/e/DeACwzoCQBZAGkAGQArASxU4NsPULQsntmP+hDb8y13PYPcB9n7FDRGdBfeH4+uFEAeURbcCuIiIMkQ0GcB0AA/EYaMJPQ/LvZ8n7GgQXYC5ck6/aAWhvsCLIoWQPPxQVxPesXIQr5lu6Jml5aeZQovhwdo5bFWEl+yxpQ+UrhREhG9euiTUFLmQ4AHCFXuljLiRr6PVC/PlT7iPtgfRmTm+BVetnhYZml6vyM9Oc9bB/1o1hNUzg/dlWm8z/vHNC8P5jwn1fFVCfI0TQmwDAO+2V19BCPF7AHcC2Ob9u00IsaECx2aYuuZTr5+Ll/Ycwod/vD5uUxjg6wBaANxOROuJ6JsAIIR4HMCNAJ4A8CsA7xdCDMdnZhi/QtEQFjPlA5H2XKjhaQ6xI5HXNNW7JUOHcr8p28Kn187zO++rjGvNIu1YmOSNtgmNJcrjiTP1+ZIVj6tn9uD771mOoe6mgueqUpRc7ViCAJjW24yfvG8lTvbEXt6Ee+V+Ie+On+uXPB1SEo5yXv/m/LmY29+Wd329zUdSKOqnAhHdAWC8YdG1RW4/DcBsuO56wP1yO1kIcZdh3SsAXAEAkyZNKmb3DFO3LBnswNWnz8AXb3sST72011jdw9QGIcS0PMs+C+CzNTSnaHTBpIbrzK0mzMtMlXP6dd/U+kF6qPTwoYlxrVk89Xdn49DRYX//wXbhHCdVDFrKBVfaIf85toWTpka9bNUkX1GBRBWMpTb6XDIYhDhNh1Bz83RvZSF77CrlxtUKxxBuzIfqlU0SRZkkhDhdCDHP8O8WAC8RUR8AeLfbDbu4EMB9Qoh9Qoh9cKuIVuQ4Vs0TVhkmTt6ydCJsi3DzQ8/HbQpTh0R6b5nCdYakZD03S80fytU1XT4vB0NnU7bfw8rU0LWQzWqzVEezNZQPpgk7mWgel0dDF4MmAg+Nd26PI/SVK2Tme75Ub2WBc1HseklnYkcDGlI2OpVxS/kY6GjAhPbktfSphB68FcA7vPvvAHCLYZ3nAJxCRA4RpeAm23PYkWEA9LRk8Jpp3bhl/QsYGeGu90xpSEeGrEB0Q1GaiFKut5GQpCJoJLkS7qWA6GxK43uXL8f5C/ojfb6KKWQPQmWq50sXkdF8tvAcyvg6l+vVlybUitNSEu7145jCiaZ+Z4W8O4G3smQzEsXyKV147NNnoqOpOPH11YsW4QtvWlB4xRpTibfh8wDWENFGAGu8xyCipUT0LW+d/wLwNIBHATwM4GEhxP+rwLEZZlRw/sJ+PL/rIDa8uCduU5g6Q8+Zsoj8zHlT2DESOjRUzlk5LtRqftGqad1oSNuh0KO633yE87qioczoMm87eXwraDcRB8V4vhpTNiwCmjLOcSd9W1aOqlHlfdErQnPhn8MkxuBKpJRzmdSE+7LLQ4QQrwA4zfD8OgCXe/eHAby33GMxzGjlxCG3Pd7DW3YXTCBlGBU1nEQEwBCKMoUdo0njxbea0MWcGiIs5jpHIc+NMNpj8oqpwsyi0i7ClWTxpHacPKMH49uiRQWSjqY0fnzlSZjb34qv/2bTcdmaK1fMP39WcZWXgLpeyWYwVYDfBoZJAJM6G9HZlMb6LTvjNoWpM9Rh0244LmgZ4feaUsOOusfLGOYzi69ANKnPuRd0K8c2ufArFrVjSuGn5oPpt3JZXL26p/W24IZ3LTN2YFdZMtiBbMr2KjOPx/NlDq2Gwo5F9BwDcr+nTDzwbEeGSQBEhIUDbVi/ZVfcpjB1hhp2cqvfDI1LQ54q99bRmm4aWzto12npNVFFjx52LFZkyO3k/MZoqwnkme0Y9PqqB9x2B8e7nUl8ubeu2C7V81Uf52y0w54vhkkIJ0zswMbt+7CXxw0xJaB7rqQwcZ+Lejv00GHgTTLMWcxR7agn8JcadnSPF4wIUo9pzPnSiwO849SLkLDoOHO+cmyX733Nxfi2LFqyDgY7a9cPjckNiy+GSQgnTGqHEMBtj/PwB6Z41PChDONFPFihBO2wxyskdoDIcypEUVGmVzsWG9aSlXz57NE9eOHZjsHrTDqlDNZWyVXR6e9KPe8FrubdzRk8+qkzMX+Ac0qTAIsvhkkIJ03twpLBDnzy5kfxxAtc9cgUh1qBKCsdpYwyekiUmYOA3hnfWyeHkLJNOWQkR/3AuE0+u0MeMy1EasoHs5VjJLWKzcTxer5sy9yRPtxqQq5bH+eCcWHxxTAJIWVb+OYlS9CSTeHjNz3CPb+YolCT4NXQI1Cg1YSecG9FPVvRVhNSGBlyvnLkieXCbcwa7NP3fBnGHelzCYncnLVUnZTuOfbxia+MYyPjRJP6/fcBZoHNJB9OuGeYBNHTksG158zG1T9ajx+t24KLl/GILSY/eo4UqXlUFBUtvviywyIslKhvEFnyGOqtXCcklIr2fMlEfdlqwhVSagGAkMt0wUiEq1ZPwyv7Dxd1rLi5+vQZyDilC8UvvWUhepozkedVL6Oe38fUByy+GCZhrD2hH9+9bzO+fPtTuOCECWhI5y9nZ8Y2fuUbBeIq2jLCW8f/LzrOx1LClY4mzIJjRb1bttbwtPiZe563TYRDin43e6USUk/GJwJmjm+BOwc9+Zwy4/hG5Z041Gl8nig4Dxx2rE/qw2fLMGMIIsI1Z8/Cjr2H8e/3PBu3OUzCacmmcPa88Vg61OknzZMmhFRPlh52VPtq+dvlSOK2DT2lZD6TqQdYPoIWFd5jWw7WhmePYUA496oCEJyXcC+0GA1iSobFF8MkkKVDnVg1rQs/+ePWuE1hEo5tEb5xyRKcMLHdT2LXhZDvKYHagDXqTZIX9ZyzHRWPiyRtW3BsilQrFkIKh0jOl1bRqL4O23D8sYh6Xtwu98XN1GSSA4cdGSahvGZaD/7hV3/CK/sOo8uQ98EwOrL9grwM25p4Udsz6AJLTd4u3OE+eP4T585GyrLQ1ZxGSzaFxnRxlxVZIRmpaPTDjsCI7sFjzxcALdSM+qn6ZAJYfDFMQlnqzXtct3knzpw7PmZrmHqANEGjixYYluXvcB++qAcd7oPnFk/q8O+/bXnxBSLSTtKS6p2Q5ytcJECK6BjLqMUN6vlh6gcOOzJMQpk/oQ1p28IfN/O8R6Y4goR797HJuyUv03rCvfSiqM/lajVRiYv9QGcjBjoagrCjTPJXctAsCrrZA7n7j401fBGKcHiWqR9YfDFMQsmmbMwfaMO6P78atylMnSDFit6vKySw/DBfOME95Pkq2GqifFtvfO9KfOiMmZFqPbVCU51XqS8by4QHjHOlYz3C4othEszKKV14eOtuvLTnUNymMHWA2uvLfazfqgLLu1Uu3Pqon9wJ95W72Oea3xjMjIy2sRjryeWhhHvl/DD1A4svhkkwb1oygOERgR+v2xK3KUwdECTchwVNOKneXdfWhIx6ER/oaEBfWxaTu8NDmEsdIVQMep6ZWn1pyTgp6a+nYoevS9QqViJOuK9HWHwxTIIZ6m7Cqmld+MEDW3jcEFMQPedL74tFoRBe0MxUtpmQl/De1gx+//HTMK23ObT/UkcIFUOunC9L8XpFPF8Y22JDHynF4qv+YPHFMAnn4mWT8Pyug7hr4464TWESjiqkgKinKNy4FP6yQOjIi7j5Yl6NOYK6Ny00WNvrnh/x5I3xK1dQvKq/b0y9wK0mGCbhnDFnPLqa0vjBA89h9czeuM1hEoxsthntnRWEHfWEe7Wlg54rpmNqNVG+zdpsSCvw4AnooVJ5/LEtNtTWG2sX9Xujlph6Yoz/fmCY5JN2LLxpyQDu2LAdX7ztT3h1/5G4TWISihtWhO+40hPU1WR8J3CfgEBQO+PnEjfV8Hzpne7VJHu/2jFHGHWsor4PJ03txrteMzlmi5hSYfHFMHXAO1cNYcFAG66782n84IHn4jaHSSjSe6WH8NSwoykfTD4vJU0uz1e1wo6hvK6Q8NLaY3DCPQBuNjsaYPHFMHVAX1sDfnrVKkzrbeamq0xOgr5Y3mPNU2TMn1KS7YOqyFyer/BtpWzW51HKxxYRLCs68Husaw72ANY/LL4Ypo5YOtiBP27eyZWPjBF9HI+avB4ILHfdcEuHcHgv1zXd9pKurAqqL+n18o/tST+TKGTR4WIVeJ+Y5MMJ9wxTRywZ7MAP/7AFT+/Yh+njOMmWCaPPQPQT1OU/NYSnhh1hnqGoc/Y8d8ZodwUHvUsP1+y+Vpw1dzzm9rf6YnBEIOTJsynYZixTjWa3TG1hzxfD1BFLhzoBAH/4M4cemSh6wryacO8+F1ysU0pfLRn68xP1c1zUu5szuHTFYIVtdg/b1pDCNy9dgo6mtOsNs3JXb3LOl3cbrxlMGZQlvojozUT0OBGNENHSPOudRURPEtEmIrqmnGMyzFhmqKsRg12N+MJtf8JDz7EAY8LIEJ0+iBpQE9vd56b2NONT58/B6pm90fBeDT0qZ84dj8tfOyX0nOUJRb1vGYcdXSo5Y5OJh3I9X48BeAOAu3KtQEQ2gOsAnA1gDoCLiWhOmcdlmDEJEeE771qOlqyDq3+0HseGR+I2iUkQskdWdBA1ee0kwkLmnasmoznj+N4leS2vpbZZMaULH1wzI/QnbwX+AAAQvUlEQVScrL48ZWYPLjih339ezWEby8QhkpnKUpb4EkJsEEI8WWC1ZQA2CSGeEUIcAfBDAGvLOS7DjGUmdTXik+fOweZXDuDnj26L2xwmQagjeeRjwBMrJDuiy2XqduE2FHFf06UYPGd+H649d04k4X6s5zol5X1ijp9a5HxNAKBOBd7qPWeEiK4gonVEtG7HDh6nwjAm1swehxnjmvHVX2/EkWPs/WJcSAvThTrbI8ihAsJeE9/zVaDVRK14/cJ+rJrW5T/2Xw+H2wBEc/uY+qOg+CKiO4joMcO/Yr1Xpk9Hzjp5IcT1QoilQoilPT09RR6CYcYWlkW45uxZeGbHfnzjt0/HbQ6TENQeWYDqKQoqHU3J2sWOF6oVf3vBPJw1r89/HE24H9uiwzK8h0x9UbDVhBDi9DKPsRXAROXxAIAXytwnw4x5Tp01Duct6MN1d27CZSsH0dGUjtskJmZcUSIiniK1YlB6tcJeE6/RqXFZ/OgJ9wkzr+Zwzlf9U4uw4x8ATCeiyUSUBnARgFtrcFyGGfVcecpUHBkewW2Pvxi3KaMGIvoIEQki6vYeExH9s1et/QgRLY7bxlwE4UXpKfKeJ7XPV/CcRI4WqkYH+0pAWrhxrIuOQv3YmORTbquJC4loK4CVAH5ORLd5z/cT0S8AQAhxDMBfALgNwAYANwohHi/PbIZhAGBufyuGuhrxs0c48b4SENFEAGsAqAM0zwYw3ft3BYBvxGBaUUTGCyneLnVgtbos2C7cZT5JSGu42tGFWITWPeVWO/5UCDEghMgIIcYJIc70nn9BCHGOst4vhBAzhBBThRCfLddohmFciAjnLejHvU+/jJf3HY7bnNHAPwH4KMJ5qWsB3CBc7gPQTkR9xq1jRnq29BypkOcL0aR1mQ/mi7WEtd9WPT3q6xursOer/knYnxjDMKVy3sI+jAjgl49x6LEciOj1AJ4XQjysLSq6Yjvuau0VU7qwckqXsdoRWmhR9W5FPV/JIgiVUug1jFUs5Xww9QmLL4apc2aOa8G03mb87GGuYylEgertawH8H9NmhueMFdtxV2t/cM0MfOiMmZF2EsH8xkBhRb1bFNkuKajVfWpLjLEKd7ivf3iwNsPUOW7osQ9f/fVGvLTnEMa1ZuM2KbHkqt4movkAJgN42LuwDwB4kIiWoQ4rtv0cKSXsaFkUaqQayvmScxTl9gm7qKtVmGrRwFglqR5KpnjY88Uwo4DzF/ZDCOD6u56J25S6RAjxqBCiVwgxJIQYgiu4FgshXoRbnX2ZV/W4AsBuIUSiKxxWTu3CGxcPoL0hBSCognT/KaFIDwL5yfpA8jxfav+xU2f1YtHE9ngNipmkeiiZ4mHxxTCjgKk9zXjb8kn4j3uexaNbd8dtzmjjFwCeAbAJwL8CuCpecwozu68VX3rLQt/zBS9UpzZZDVc75m5DkQSCju7Av1y6NNSAdaxiSTXN1CUsvhhmlPCxM2ehpyWDy2/4A7a8eiBuc+oazwP2sndfCCHe71VrzxdCrIvbvmIJxgWFRwy5y4L19BYVSWs1wQnmUVRPJVN/sPhimFFCW2MKN7xrOQ4dHcHHfvJI3OYwCUDN75ItGrqaM2hrSMFRsrUbMzYa03akmWlS4BynKGrPNqb+YPHFMKOImeNbcOUpU3Hv06/gyRf3xm0OEzNqGFGGHN+8ZAB3fmQ1HDv4+v/axYvx12fODLV0SBJBX6tk2RUnas82pv5g8cUwo4yLTpyIjGPhP+99Nm5TmNgJhx0BwLEtdGpzQCd3N6G3NZv4FgZJtSsOLCJYfAWvW/itY5hRRkdTGm9aMoAfr9vK3q8xjhXyfBWujgtaTSRL5QS5a8myK04s2TmXqUtYfDHMKOTDZ8xES9bBNTc9goNHhuM2h4kJUsJ17nzH/OvLXmBJI6kDv+OEc77qGxZfDDMK6WxK4zNr52H9ll14+7fuw6GjLMDGIrrnq5CwSmr3At/jlUTjYoKbzdY3LL4YZpRy/sJ+fOWtJ+DB53bhhw88F7c5TAwEDVVlK4kCYceEti8wzaMc62RTNjKOHbcZzHHC4othRjFrT5iAZZM78Y3/eRq7DxyN2xymxuhNUwuFqXpaMuhuzlTXqOOgWPvHEt+8dAmuOHlK3GYwxwmLL4YZ5Vx9+nS8tOcwln72dtyy/vm4zWFqiNofiwgF41SXrRzEbR88uep2lQpxq4kIiyd18BzXOobFF8OMck6a2o1b/2IV5vS34VO3Po5dB47EbRJTI2SYTjZZLSRdUraFNm8eZJKQdrPnixktsPhimDHAgoF2fO7C+dh98Cj+hYdvjxlkHyjZkLNeHUdBk9WYDWGYCsHii2HGCHP6W7F0sBMPPPtqzY65//Cxmh2LiaImqFtF9PlKKoHZ9Wk/w+iw+GKYMcSc/lZs2LYHIyOi6sfaffAoVv3Db/Cd3/+56sdizKjjgojqt1bQ8uKNNscdmVGCE7cBDMPUjjl9rThwZBibXz2Ayd1NVTnGK/sO4+b1L+DV/Yex68BRLB7sqMpxmMJYasI96jdst2JyF/76zJmY198atykMUxFYfDHMGGKOd/F64oU9mNDegC07D2BqT3NFj/GVOzbiO/dtBgCcNqsXc/vbKrp/phSUWY1Uv9WCDWkb73/dtLjNYJiKwWFHhhlDTOtthmMR7nvmFVz27/fjtC/9Dx58bmfF9r/30FHc9OBWzJ/QhindTfjgmhkV2zdTOpYadgRnTDFMUmDPF8OMIbIpG9N6m/Gd+zbDsQgtWQf/eNuT+P57VlRk/zc/9Dz2HxnG310wDwsntldkn8zxQ0qVoGw3wTBM/LDni2HGGFeeMhWXrhjEze9fhQ+ePgP3Pv0Kbly3pSL7vmvjyxjsamThlRBIuZXtJhiGiZ+yxBcRvZmIHieiESJammOdiUR0JxFt8Nb9q3KOyTBMeVywaAL+9oJ5mDehDZesGMRrp3fjmp88gvl/cxsu+db92LBtz3HtVwiBh57bhSWTOME+KVjKfCEC+X2/GIaJl3L/FB8D8AYAd+VZ5xiADwshZgNYAeD9RDSnzOMyDFMB0o6Fb16yBO88aTLOW9iPJ7btwaX/9kBJXfB37j8CIQS27jyIl/cdxqJJ7PVKCupMRPZ8MUxyKCvnSwixAchfQSOE2AZgm3d/LxFtADABwBPlHJthmMrQlHHwf853fw9dsmIS1n79Hnzy5sfwtYsXGf+2f7dxB66/6xmkbQuPv7AHL+45hLcvn4TlU7oAAIvY85UYgtmO3CGeYZJETRPuiWgIwCIA9+dZ5woAVwDApEmTamIXwzAuc/vb8ME1M/DF255E2rEwt78NFy+biMa0g1vWP4+DR4bxlTs24sjwCHqaM1g+pRPHRgS+d/9z+J+ndiCbsjBrfEvcL4Px0BPuGYZJBgXFFxHdAWC8YdG1Qohbij0QETUD+AmAq4UQOZNKhBDXA7geAJYuXVr9NtwMw4S4avVUvLTnEG74/Wbc9ODz+OWj2/DZC+fjIz9+GEeHBYiAn7zvJCz2PFzDIwKtWQd3bNiOc+b3wbE5sSgptDWk0JJxMKG9gQUYwySIguJLCHF6uQchohRc4fU9IcRN5e6PYZjqQUT4zNp5+PAZM3H3xpdx9Y8ewvlfvxsA8MlzZ6Ml6/jCC3BHvnzuDQvwubgMZnLSnHHw8N+cASLgC7dx2JFhkkLVw47k+r3/DcAGIcSXq308hmEqQ1tDCucu6ENj2saV3/0j3rZ8EJe/dkrcZjElIuci9jRn0NWcidkahmGAMsUXEV0I4GsAegD8nIjWCyHOJKJ+AN8SQpwDYBWASwE8SkTrvU0/IYT4RTnHZhimNrxuVi/u/8RpaMmm4jaFKYPr3r6Yw44MkxDKrXb8KYCfGp5/AcA53v27wVMtGKauaW9Mx20CUyaNaR5owjBJgTNjGYZhGIZhagiLL4ZhGIZhmBrC4othGIZhGKaGsPhiGIZhGIapISy+GIZhGIZhagiLL4ZhGIZhmBrC4othGIZhGKaGsPhiGIZhGIapISy+GIZhGIZhagiLL4ZhGIZhmBpCQoi4bcgJEe0AsLnI1bsBvFxFc6oF21176tX2sWD3oBCip5rG1Ar+/ko89Wo72117Kv4dlmjxVQpEtE4IsTRuO0qF7a499Wo72z16qddzVK92A/VrO9tde6phO4cdGYZhGIZhagiLL4ZhGIZhmBoymsTX9XEbcJyw3bWnXm1nu0cv9XqO6tVuoH5tZ7trT8VtHzU5XwzDMAzDMPXAaPJ8MQzDMAzDJB4WXwzDMAzDMDWkrsQXEZ1FRE8S0SYiusawPENEP/KW309EQ7W30kwRtn+IiJ4gokeI6NdENBiHnTqF7FbWexMRCSJKRClxMXYT0Vu8c/44EX2/1jbmoojPyiQiupOIHvI+L+fEYadm078T0XYieizHciKif/Ze0yNEtLjWNiaBev0O4++v2lOv32H1+P0FxPAdJoSoi38AbABPA5gCIA3gYQBztHWuAvBN7/5FAH4Ut90l2P46AI3e/fclwfZi7PbWawFwF4D7ACytB7sBTAfwEIAO73Fv3HaXYPv1AN7n3Z8D4M8JsPtkAIsBPJZj+TkAfgmAAKwAcH/cNif0vU3cdxh/fyXT9iR+h9Xr95dnS02/w+rJ87UMwCYhxDNCiCMAfghgrbbOWgDf9u7/F4DTiIhqaGMuCtouhLhTCHHAe3gfgIEa22iimHMOAH8L4AsADtXSuDwUY/d7AFwnhNgJAEKI7TW2MRfF2C4AtHr32wC8UEP7jAgh7gLwap5V1gK4QbjcB6CdiPpqY11iqNfvMP7+qj31+h1Wl99fQO2/w+pJfE0AsEV5vNV7zriOEOIYgN0AumpiXX6KsV3l3XAVdtwUtJuIFgGYKIT4WS0NK0Ax53sGgBlEdA8R3UdEZ9XMuvwUY/unAFxCRFsB/ALAB2pjWlmU+jcwGqnX7zD+/qo99fodNlq/v4AKf4c5ZZtTO0y//vQ+GcWsEwdF20VElwBYCuCUqlpUHHntJiILwD8BeGetDCqSYs63A9dtvxrur/TfEdE8IcSuKttWiGJsvxjAfwohvkREKwF8x7N9pPrmHTdJ/dusJfX6HcbfX7WnXr/DRuv3F1Dhv8168nxtBTBReTyAqLvSX4eIHLguzXxuxFpRjO0gotMBXAvg9UKIwzWyLR+F7G4BMA/Ab4noz3Dj4LcmIGm12M/KLUKIo0KIZwE8CfeLLG6Ksf3dAG4EACHE7wFk4Q5+TTJF/Q2Mcur1O4y/v2pPvX6HjdbvL6DS32FxJ7mVkAznAHgGwGQEiXxztXXej3Cy6o1x212C7YvgJipOj9veUuzW1v8tEpCwWuT5PgvAt7373XDdyV11YvsvAbzTuz/b+wKgBNg+hNzJqucinKz6QNz2JvS9Tdx3GH9/JdP2JH6H1fP3l2dPzb7DYn+xJZ6YcwA85f2RX+s99xm4v7QAV0H/GMAmAA8AmBK3zSXYfgeAlwCs9/7dGrfNxditrZukL69C55sAfBnAEwAeBXBR3DaXYPscAPd4X2zrAZyRAJt/AGAbgKNwfyG+G8CVAK5Uzvd13mt6NCmfkwS+t4n8DuPvr+TZntTvsHr8/vLsqul3GI8XYhiGYRiGqSH1lPPFMAzDMAxT97D4YhiGYRiGqSEsvhiGYRiGYWoIiy+GYRiGYZgawuKLYRiGYRimhrD4YhiGYRiGqSEsvhiGYRiGYWrI/wfWNvzM7UP+ygAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a) Your code goes here !!!\n",
    "for sigma in [0, 1e-4, 1e-3, 1e-2]:\n",
    "    plt.figure(figsize=(10,5))\n",
    "    y_delta = y + np.random.normal(size=y.shape) * sigma\n",
    "    x_rec = np.linalg.solve(A, y_delta)\n",
    "    \n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.plot(s, y_delta, label='y_delta')\n",
    "    plt.legend()\n",
    "    \n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.plot(s, x_rec, label='x_delta')\n",
    "    plt.plot(s, x, label=r'x_true')\n",
    "    \n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 3 (Truncated SVD)\n",
    "\n",
    "**a)** Compute the SVD of the matrix $A$ and check that indeed $USV^T=A$. <br>\n",
    "\n",
    "**Hint:** Use the method `np.linalg.svd()` for computing the SVD."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1c7cee41080>"
      ]
     },
     "execution_count": 4,
     "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": [
    "# a) Your code goes here !!!\n",
    "U, S, V = np.linalg.svd(A)\n",
    "\n",
    "plt.imshow(np.dot(np.dot(U, np.diag(S)), V))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**b)** Plot the singular values of $A$. <br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c7cfe67b00>]"
      ]
     },
     "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": [
    "plt.plot(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**c)** Implement the truncated SVD and compute the reconstructions for $\\sigma=10^{-2}$ and $\\gamma=10^{-4},10^{-3},10^{-2},10^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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"
    },
    {
     "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": [
    "def truncated_svd(U, S, V, y, gamma):\n",
    "    S_inv = []\n",
    "    for i in range(len(S)):\n",
    "        if S[i] > gamma:\n",
    "            S_inv += [1/S[i]]\n",
    "        else:\n",
    "            S_inv += [0]\n",
    "            \n",
    "    A_inv = np.dot(np.dot(V.T, np.diag(S_inv)), U.T)\n",
    "    return np.dot(A_inv, y)\n",
    "\n",
    "\n",
    "sigma = 1e-2\n",
    "y_delta = y + np.random.normal(scale=sigma, size=y.shape)\n",
    "    \n",
    "for gamma in [1e-4, 1e-3, 1e-2, 1e-1]:\n",
    "    \n",
    "    x_delta = truncated_svd(U, S, V, y_delta, gamma)\n",
    "\n",
    "    plt.title(r'$\\gamma=%f$' % gamma)\n",
    "    plt.plot(x_delta, color='blue', label='$x^\\delta$')\n",
    "    plt.plot(x, color='black', linestyle='--', label='$x$')\n",
    "    plt.legend(loc='upper right')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 4 (Tikhonov)\n",
    "\n",
    "Now lets compute the reconstruction using the Tikhonov approach, i.e the reconstruction is computed by\n",
    "$$x^\\delta = (A^TA + \\alpha I)^{-1}A^Ty^\\delta$$ \n",
    "\n",
    "**a)** Implement the Tikhonov method and compute the reconstructions for $\\sigma=10^{-2}$ and $\\alpha=10^{-4},10^{-3},10^{-2},10^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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"
    },
    {
     "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": [
    "def tikhonov(A, y, alpha):\n",
    "    W = np.dot(A.T, A) + alpha * np.eye(A.shape[0])\n",
    "    b = np.dot(A.T, y)\n",
    "    return np.linalg.solve(W, b)\n",
    "\n",
    "\n",
    "sigma = 1e-2\n",
    "y_delta = y + np.random.normal(scale=sigma, size=y.shape)\n",
    "    \n",
    "for alpha in [1e-4, 1e-3, 1e-2, 1e-1]:\n",
    "    \n",
    "    x_delta = tikhonov(A, y_delta, alpha)\n",
    "\n",
    "    plt.title(r'$\\alpha=%f$' % alpha)\n",
    "    plt.plot(x_delta, color='blue', label='$x^\\delta$')\n",
    "    plt.plot(x, color='black', linestyle='--', label='$x$')\n",
    "    plt.legend(loc='upper right')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}