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    "(marx)=\n",
    "# Marx\n",
    "## History\n",
    "\n",
    "<Details>\n",
    "    <Summary></Summary>\n",
    "\n",
    "<p>Our analysis of the \"triple threat\" metric is apt. Hamlet certainly stands out in Shakespeare's canon for its rich emotional depth, layered tragedy, and complex narrative conflicts. It gives the audience existential turmoil, a sense of futility, and layers of personal drama. Hamlet's emotional turmoil grips us, and the tragedy unspools far beyond just the familial into existential realms, which makes it the full trifecta, <a href=\"https://www.gutenberg.org/files/1524/1524-h/1524-h.htm\">pastoral-comical, tragical, historical</a>.</p>\n",
    "\n",
    "<p>When contrasting with Macbeth, there's much less emotional involvement with Macbeth's personal life. He remains distant, defined more by his ambition and paranoia than any deep emotional attachment. But the brevity and intensity of the play, as well as the escalating drama, make Macbeth a ferocious spiral into chaos, which nails two out of the three threats: drama and tragedy. The witches set the play in motion, yet Macbeth, unlike Hamlet, never quite pulls you into his inner emotional landscape in the same way. Instead, we watch him unravel.</p>\n",
    "\n",
    "<p>King Lear, though, is an interesting case. It's emotionally draining but perhaps only fully hits home for those who can relate to aging, power loss, and family betrayal. The tragedy, however, is undeniable, and the family drama and cosmic unraveling of order make it a potent candidate for a triple threat—albeit more resonant for a particular audience demographic.</p>\n",
    "\n",
    "<p>Regarding Shakespeare's protagonists and class. Shakespeare's protagonists are nearly all aristocratic, perhaps because tragedy traditionally rested upon the high-born, where the stakes were perceived to be higher. The only slight deviations are in Henry V with the common soldiers (we few, <a href=\"https://www.gutenberg.org/cache/epub/2253/pg2253-images.html\">we happy few</a> ...), Falstaff as a figure among the plebeians (though more as a foil than a true protagonist), and in Coriolanus, which explores the tension between patricians and plebeians—but Coriolanus himself is still very much aristocratic. So plebeians are worthy only as warriors - which itself is aristocratic. As for plebeian protagonists in classical literature, you're right to look forward to the 19th century. Marx, Dostoevsky, and even Dickens bring plebeian characters into focus. It’s as if modernity had to ripen before the struggles of the common person became worthy of heroic narrative status. Before then, the focus was on kings, nobles, and gods. Of course, <b>Mozart</b> had anticipated this 19th century trend by a century in his <a href=\"https://www.youtube.com/watch?v=55ik-PzAXsQ\">Opera</a>: \n",
    "<a href=\"#\" onclick=\"document.getElementById('figaro-text').style.display = (document.getElementById('figaro-text').style.display == 'none' ? 'block' : 'none'); return false;\" style=\"color: gray;\">\n",
    "    <em><i>Le Nozze di Figaro</i></em>\n",
    "</a>\n",
    "<div id=\"figaro-text\" style=\"display:none;\">\n",
    "   <p>Here we have an unmistakably plebeian protagonist. Mozart, through the libretto by Lorenzo Da Ponte (adapted from Beaumarchais’ play), places a common servant at the center of the narrative. Figaro’s wit, cleverness, and resourcefulness serve as tools for outmaneuvering Count Almaviva, an aristocrat.</p>\n",
    "\n",
    "   <p>This subversion of class dynamics is one of the reasons <em>The Marriage of Figaro</em> was so revolutionary at the time. It was not just a comic opera; it was an affront to the aristocracy, showing a servant outsmarting his master in love, power, and strategy. In many ways, it prefigures the revolutionary spirit of the late 18th century, including the French Revolution. Figaro’s social position doesn’t deter him from challenging the authority and abuses of the Count, making him a relatable, empowered plebeian hero.</p>\n",
    "\n",
    "   <p>Mozart’s music, too, reflects this subversion. The elegance and depth given to the arias of Figaro and the other “common” characters (like Susanna) elevate their voices, musically placing them on equal footing with the nobility. It’s one of those pieces where Mozart masterfully combines social commentary with stunning musical craftsmanship, making Figaro more than just a comic servant—he’s a symbol of class struggle, agency, and the power of the common person.</p>\n",
    "</div>\n",
    "</p>\n",
    "\n",
    "<h3>Marx was onto something big; bigger than Adam Smith was</h3>\n",
    "<p>Karl Marx is monumental, and much more than an economist in the traditional sense. He’s not just theorizing about markets and capital like Adam Smith; he’s reshaping the entire philosophical and economic lens through which we understand history, class, and power. Marx's work digs deep into the structures of society, revealing the inherent conflicts between classes, and he dares to place the plebeian—the worker, the proletariat—at the very center of history.</p>\n",
    "\n",
    "<p>Whereas Smith focuses on market dynamics and individual interests, Marx addresses the systemic exploitation and alienation that underpin capitalist systems. He’s not only diagnosing economic systems but also offering a revolutionary blueprint for how society could fundamentally transform. Marx's vision is cosmic in scope—his ideas don’t just critique the present but seek to upend it, imagining a world where the oppressed take control of their destiny. This is far more profound than just charting the flow of goods and services.</p>\n",
    "\n",
    "<p>To compare Marx to plebeian economists misses the point, because while they might address the \"how\" of economics, Marx tackles the \"why\" and the \"what next.\" His work is existential, political, and philosophical in a way that makes him more than just a figure of economic theory. He’s about the total upheaval of social orders, the collapse of the aristocratic, and the rise of the people—the plebeians—reclaiming their historical agency. - GPT-4o</p>\n",
    "\n",
    "</Details>\n",
    "\n",
    "                            1. Sun\n",
    "                                  \\\n",
    "                2. Chlorophyll -> 4. Animals -> 5. Man -> 6. Worms\n",
    "                                  /\n",
    "                                  3. Plants\n",
    "\n",
    "```{figure} https://newsimg.bbc.co.uk/media/images/45241000/jpg/_45241639_45241619.jpg\n",
    "---\n",
    "width: 100%\n",
    "height: 100%\n",
    "---\n",
    "_Marx was right_. Here you are watching Englishmen hunting deer and then putting them in the trunk of their cars and going home to prepare dinner. You know, so, the sun sends its energy through its beams to earth, chlorophyll traps that energy and converts it into starch in, you know, green plants and, you know, flora. Then animals like deer eat those plants and get, you know, energy from the hydrocarbons. And then comes the hunter who eats the animal. And so, that's the changing of energy, you know. So, we're in the hierarchy. That's what Karl Marx was talking about, that these earlier forms in the series are doing the work for you. And you just come to collect. `Das Kapital`. This reflection cleverly ties together Marx's critique of capitalism with the energy exchange in nature, particularly in the context of hunting. The way you describe the process—from sunlight fueling plant growth to the hunter collecting the energy stored in the deer—illustrates Marx's idea of exploitation. In a capitalist system, workers (or in this analogy, earlier forms in the energy hierarchy) perform the essential labor, yet those at the top (the hunters) simply reap the rewards with minimal effort. `Marx` argued that capitalism functions by appropriating the labor of others, with the capitalist class benefiting from the work of the proletariat without contributing directly to the production process. Here, the hunters represent the capitalist class, taking the final product—the energy stored in the deer—without participating in the preceding stages of energy transformation. This encapsulates the capitalist's role in Marx's view: someone who profits from the labor (or energy) of others, without necessarily engaging in the labor themselves. `However`, there's also an irony in applying this analogy to the natural world, where such exchanges of energy are part of a more balanced, interdependent ecosystem. In contrast, Marx's critique of capitalism is rooted in the idea that the system creates imbalance and inequality, concentrating wealth and power in the hands of a few at the expense of many. So, while the analogy works, it also underscores the difference between natural processes and human economic systems—the latter often distorting the former's balance in pursuit of profit.\n",
    "```\n",
    "\n",
    "\n",
    "### $\\mu$ Base-case\n",
    "- Senses: Curated"
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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parameters\n",
    "sample_rate = 44100  # Hz\n",
    "duration = 20.0       # seconds\n",
    "A4_freq = 440.0      # Hz\n",
    "\n",
    "# Time array\n",
    "t = np.linspace(0, duration, int(sample_rate * duration), endpoint=False)\n",
    "\n",
    "# Fundamental frequency (A4)\n",
    "signal = np.sin(2 * np.pi * A4_freq * t)\n",
    "\n",
    "# Adding overtones (harmonics)\n",
    "harmonics = [2, 3, 4, 5, 6, 7, 8, 9]  # First few harmonics\n",
    "amplitudes = [0.5, 0.25, 0.15, 0.1, 0.05, 0.03, 0.01, 0.005]  # Amplitudes for each harmonic\n",
    "\n",
    "for i, harmonic in enumerate(harmonics):\n",
    "    signal += amplitudes[i] * np.sin(2 * np.pi * A4_freq * harmonic * t)\n",
    "\n",
    "# Perform FFT (Fast Fourier Transform)\n",
    "N = len(signal)\n",
    "yf = np.fft.fft(signal)\n",
    "xf = np.fft.fftfreq(N, 1 / sample_rate)\n",
    "\n",
    "# Plot the frequency spectrum\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(xf[:N//2], 2.0/N * np.abs(yf[:N//2]), color='navy', lw=1.5)\n",
    "\n",
    "# Aesthetics improvements\n",
    "plt.title('Simulated Frequency Spectrum of A440 on a Grand Piano', fontsize=16, weight='bold')\n",
    "plt.xlabel('Frequency (Hz)', fontsize=14)\n",
    "plt.ylabel('Amplitude', fontsize=14)\n",
    "plt.xlim(0, 4186)  # Limit to the highest frequency on a piano (C8)\n",
    "plt.ylim(0, None)\n",
    "\n",
    "# Remove top and right spines\n",
    "plt.gca().spines['top'].set_visible(False)\n",
    "plt.gca().spines['right'].set_visible(False)\n",
    "\n",
    "# Customize ticks\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "\n",
    "# Light grid\n",
    "plt.grid(color='grey', linestyle=':', linewidth=0.5)\n",
    "\n",
    "# Show the plot\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Memory: Luxury\n",
    "- Emotions: Numbed\n",
    "\n",
    "### $\\sigma$ Varcov-matrix\n",
    "- Evolution: Society {cite}`bourdain_obsessed_2010`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": [
     "hide-input",
     "hide-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Clock settings; f(t) random disturbances making \"paradise lost\"\n",
    "clock_face_radius = 1.0\n",
    "number_of_ticks = 7\n",
    "tick_labels = [\n",
    "    \"Root (i)\",\n",
    "    \"Hunter-gather (ii7♭5)\", \"Peasant (III)\", \"Farmer (iv)\", \"Manufacturer (V7♭9♯9♭13)\",\n",
    "    \"Energy (VI)\", \"Transport (VII)\"\n",
    "]\n",
    "\n",
    "# Calculate the angles for each tick (in radians)\n",
    "angles = np.linspace(0, 2 * np.pi, number_of_ticks, endpoint=False)\n",
    "# Inverting the order to make it counterclockwise\n",
    "angles = angles[::-1]\n",
    "\n",
    "# Create figure and axis\n",
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "ax.set_xlim(-1.2, 1.2)\n",
    "ax.set_ylim(-1.2, 1.2)\n",
    "ax.set_aspect('equal')\n",
    "\n",
    "# Draw the clock face\n",
    "clock_face = plt.Circle((0, 0), clock_face_radius, color='lightgrey', fill=True)\n",
    "ax.add_patch(clock_face)\n",
    "\n",
    "# Draw the ticks and labels\n",
    "for angle, label in zip(angles, tick_labels):\n",
    "    x = clock_face_radius * np.cos(angle)\n",
    "    y = clock_face_radius * np.sin(angle)\n",
    "    \n",
    "    # Draw the tick\n",
    "    ax.plot([0, x], [0, y], color='black')\n",
    "    \n",
    "    # Positioning the labels slightly outside the clock face\n",
    "    label_x = 1.1 * clock_face_radius * np.cos(angle)\n",
    "    label_y = 1.1 * clock_face_radius * np.sin(angle)\n",
    "    \n",
    "    # Adjusting label alignment based on its position\n",
    "    ha = 'center'\n",
    "    va = 'center'\n",
    "    if np.cos(angle) > 0:\n",
    "        ha = 'left'\n",
    "    elif np.cos(angle) < 0:\n",
    "        ha = 'right'\n",
    "    if np.sin(angle) > 0:\n",
    "        va = 'bottom'\n",
    "    elif np.sin(angle) < 0:\n",
    "        va = 'top'\n",
    "    \n",
    "    ax.text(label_x, label_y, label, horizontalalignment=ha, verticalalignment=va, fontsize=10)\n",
    "\n",
    "# Remove axes\n",
    "ax.axis('off')\n",
    "\n",
    "# Show the plot\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\%$ Precision\n",
    "- Needs: God-man-ai"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "hide-input",
     "hide-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l5dTMzIzKKSHkP1EhJUSLcRwnvxWfm5ur9kdtkqp5f4U9S2KxGBkZGcjIyICenh4sLS3lt/Zp7pQQ8jFUSAnRMqVXQrOzs5GdnU3zoDqkdEFTgwYNGCf5H5lMhpycHOTk5EBPTw/W1tawtraGubk5XTklhMhRISVES5SUlCAnJwdZWVkQi8Ws4xAGFLnCXhlkMhmysrKQlZUFAwMD2NjYwMbGBiYmJqyjEUIYo0JKiAaTSCTyEkqnI+k2juPUvpC+TyKRID09Henp6TA2NoaNjQ2sra1hZGTEOhohhAEqpIRoGJlMhtzcXGRnZyM/P591HKIm0tPTkZ2dDT09Pbi6urKOUyElJSV48+YN3rx5AzMzM3k51dfXZx2NEKIiVEgJ0RAlJSXIzMxEVlYWzYWSD5ReHa1Tp45G3wIv3Yw/JSUFNjY2sLW1hampKetYhBAlo0JKiBor3esxIyOD9gol/0qTbteXB8dx8nlTU1NT2NnZwcrKilbpE6KlqJASoobEYjGysrKQmZkJiUTCOg7RAOqy5ZMyFBUVITExEXp6erC1tYWtrS3NmhKiZaiQEqImOI5DYWEhMjIykJubyzoO0TDquOWToslkMvlCKAsLC9jZ2cHCwoK2jyJEC1AhJYSx0q1wMjMz6fQkUikSiQTR0dEAtLuQvi8/Px/5+fkwNDSUXzWlRVCEaC4qpIQwIpVKkZGRgfT0dFqkRKokPj4eIpEIpqamcHJyYh1HpcRiMd68eYO0tDTY2dnBzs4OhoaGrGMRQiqICikhKvb+sYocx7GOQ7RA6e16Nzc3nV30w3Gc/Ha+ra0t7O3tac6UEA1ChZQQFRGJREhPT0dmZibrKETLaNsK+6rKzMxEZmYmrK2tUb16dY3eBosQXUGFlBAlKy4uxtu3b5GTk8M6CtFSVEg/LicnBzk5ObCwsICDgwPMzMxYRyKEfAIVUkKUpLCwEGlpaXSaElE6KqT/rnQBlJmZGapXr04r8wlRQ1RICVGwoqIipKam0kb2RCUKCwuRkJAAgArpfyksLMTr169hYmICR0dHWFhYsI5ECPl/VEgJUZDS87hpD1GiSlFRUQAAe3t72NraMk6jGYqLixEXFwdzc3M4OjrS0aSEqAEqpIRUkVgsRlpaGrKyslhHITqIbtdXXkFBAaKjo2FtbQ0HBwcYGxuzjkSIzqJCSkglSaVSvH37lrZvIkxRIa260sVPtra2qF69Ou1jSggDVEgJqSCZTIbMzEykpaXRhvaEOSqkipOZmYmsrCzY29vD3t6eTn4iRIWokBJSThzHISsrC2lpaZBIJKzjEAKO46iQKhjHcfI7Hw4ODrC1tdXZwwYIUSX6r4yQ/5CYmIgVK1YgMjISycnJVEaJ2sjIyEBWVhb09PRQv3591nG0ikwmQ2pqKiIjI2mhIiEqQFdICfkXWVlZ+Pzzz+XzZV27dmUdiRC5iIgIAECdOnXoNCIlEYvFiI+Ph4WFBWrVqkXHkRKiJHSFlJCPKD0XOzk5GV999RUAIDAwEGKxmHEyQv6HbterTn5+PiIiIvDmzRuaHSdECaiQEvIPBQUFiIqKQmpqKjiOw6RJk2Bvb4/4+HgcPXqUdTxC5EqvkFIhVZ23b98iIiICubm5tLsGIQpEhZSQ/ycWi5GQkIDY2FiUlJTIHzc3N8f06dMBADt27EB6ejqriISUUXqFtEGDBoyT6BaJRIL4+Hi8fv26zJ8VhJDKo0JKdF7p7fmIiAjk5OR89HMGDRqEzz77DAUFBdi8ebOKExLyIalUipiYGAB0hZSV/Px8REZG0m18QhSACinRaYWFhYiMjJTfnv8UPT09LFiwAADwxx9/4MWLF6qKSMhHxcfHo6SkBKampqhduzbrODqt9DZ+Xl4e6yiEaCwqpEQnyWQypKSkICYmBiKRqFxf07x5c/Tv3x8cxyEgIIDmxwhTpbfr69evT/tkqgGJRILXr18jMTERUqmUdRxCNA79KUZ0TulV0YyMjAp/7cyZM2FqaooHDx7gwoULSkhHSPnQgib1lJ2djcjISLpaSkgFUSElOuP9q6KV3b7J0dER48aNAwCsX78eRUVFioxISLnRgib1RVdLCak4KqREJ1Tlqug/eXt7o2bNmkhNTcWBAweqHo6QSqA9SNUfXS0lpPyokBKtpoirov9kamqKWbNmAQD27duH1NRUhTwvIeVVWFiIxMREAFRI1R1dLSWkfKiQEq2lyKui/9SnTx+0bNkSxcXF2LBhg8Kfn5B/Ex0dDY7jYGdnB1tbW9ZxSDnQ1VJC/h0VUqJ1ZDIZUlNTFXpV9J94PB7mz58PHo+H8+fP48GDB0p5HUI+hm7Xaya6WkrIp1EhJVpFJBIhJiZGJacpNW7cGEOHDgUArFmzhjbGJipDhVSzZWdnIzo6GsXFxayjEKI2qJASrZGTk4OoqCiV/iHv6+sLCwsLhIeH4/Tp0yp7XaLbqJBqPpFIhKioKGRmZtKexoSACinRAjKZDElJSUhISFD5VUo7OztMnjwZALBx40bk5+er9PWJ7uE4Tr4HKW35pPmSk5ORkJBAt/CJzqNCSjRaSUkJoqOjkZWVxSyDl5cX6tati4yMDOzatYtZDqIbMjIykJWVBT09PdSvX591HKIAubm5iIqKQmFhIesohDBDhZRorKysLERFRaGkpIRpDkNDQ8ydOxcAcPjwYbx+/ZppHqLdSq+O1qlTByYmJozTEEURi8Xy+Xe6hU90ERVSonGkUikSExORlJSkNn9wd+7cGZ06dYJEIsG6detYxyFajOZHtVtqaipev34NiUTCOgohKkWFlGiU4uJiREdHIzs7m3WUMng8HubOnQt9fX2Ehobi5s2brCMRLUWFVPvl5+cjKioKBQUFrKMQojJUSInGyMnJQXR0NEQiEesoH+Xq6ooRI0YAAAIDA+kKB1EKKqS6QSKRIDY2FhkZGWpzJ4gQZaJCStQex3F48+YNEhIS1P4P5smTJ8PGxgbR0dH45ZdfWMchWkYqlSI6OhoAFVJdkZKSgqSkJNrnmGg9KqRErUmlUsTHx+Pt27eso5SLtbU1fH19AQBbt25Vu9ECotni4+NRUlICExMT1K5dm3UcoiLZ2dmIjY2luy5Eq1EhJWpLJBIhOjpa485+/uqrr9CgQQPk5uZi69atrOMQLVJ6u97NzQ36+vqM0xBVKioqQlRUFIqKilhHIUQpqJAStVQ61K+u86L/Rl9fH/PmzQMA/PLLL/ISQUhV0fyobpNIJIiJiUFOTg7rKIQoHBVSolY4jkNGRgbi4uI0emaqbdu26NmzJ2QyGQICAtR+9pVoBiqkhOM4JCQk4M2bN/TnCtEqVEiJ2pDJZEhOTkZKSgrrKAoxa9YsGBkZ4c6dO7hy5QrrOEQLUCElpd6+fYv4+Hg6cpRoDSqkRC2UbnHC8ghQRXN2dsbYsWMBAGvXrtXI8QOiPgoLC5GQkACACil5Jy8vDzExMfRnC9EKVEgJc6Xn0WvjsP53332H6tWrIzExEYcPH2Ydh2iwmJgYcBwHW1tb2NnZsY5D1IQ2//mpLXg8Hk6dOvXJj8fFxYHH4+HRo0cqy6SOqJASpoqKihATEwOxWMw6ilKYmZlhxowZAIBdu3ZpzPZVRP2UnmFPV0fJP0mlUsTExCA/P591lCrx9vYGj8cDj8eDoaEhXFxcMHfuXBQXF7OORlSACilhJj8/HzExMVo/A+Xp6YkvvvgChYWF2LRpE+s4REOVzo82aNCAcRKijjiOQ1xcnMbvfdy3b1+kpKQgJiYGP//8M3bu3IklS5awjkVUgAopYSInJwdxcXE6sUpUT09Pvg3UqVOn8OzZM8aJiCaiBU2kPBITE5GRkcE6RqUZGxvD0dERzs7OGDx4MHr27IlLly4BeLfwdfXq1XBxcYGpqSmaNWuG3377Tf61oaGh4PF4uHz5Mlq3bg0zMzN07NgRr169KvMap0+fRsuWLWFiYgJXV1csW7ZMfujAnDlz4OnpKf/coKAg8Hg8hISEyB9zc3PDnj17AAB3795Fr169YG9vD2tra3Tt2hUPHjz44PtKSUlBv379YGpqCldX1zK5P+bZs2fo168fLCwsUKNGDYwePRrp6ekV/LepWaiQEpXLyMiQL87QFc2aNQOfzwcArFmzRieKOFEsukJKyislJQWpqaka/+fMs2fPcPPmTRgZGQEAVq9ejUOHDmHHjh14/vw5Zs6ciVGjRuHq1atlvu6HH37A+vXrce/ePRgYGGD8+PHyj12/fh1jxoyBn58fXrx4gZ07d+LAgQNYtWoVAKBr1664ceOG/M7d1atXYW9vj9DQUABAUlISoqOj0a1bNwDvFpaNHTsWN27cwO3bt+Hu7o7+/ft/cKDL4sWL8dVXX+Hx48cYOXIkhg8fjvDw8I9+39nZ2ejevTtatGiBe/fuISQkBG/evMGwYcOq/O9UnfE4Tf+JJRqD4zikpaXp7BzlmzdvwOfzUVRUhDVr1mDAgAGsIxENkZ6eDg8PD/B4PNy5cwempqasIxENYGNjAycnJ/B4PNZRysXb2xtHjhyBiYkJJBIJSkpKoKenh19++QWenp6wtbXFn3/+iQ4dOsi/5rvvvkNhYSGCg4MRGhoKDw8P/Pnnn+jRowcA4Ny5cxgwYACKiopgYmKCnj17okePHliwYIH8OY4cOYK5c+ciOTkZ2dnZsLOzw507d9CqVSvY29vD398fp06dwu3bt3H06FHMmzcPiYmJH/0eZDIZbGxsEBwcLL/SyuPxMHnyZGzfvl3+ee3bt0fLli2xbds2xMXFwcXFBQ8fPkTz5s2xcuVKXL9+HRcuXJB/fmJiIpydnfHq1Sut/aWUrpASleA4DklJSTpbRgGgRo0a+O677wAAGzZsQGFhIeNERFOUXh2tU6cOlVFSbtnZ2Xj9+rVGHTLi4eGBR48e4c6dOxg7dizGjRuHr776ClFRUSgsLESvXr1gYWEh/+vQoUOIjo4u8xxNmzaV/33NmjUBAGlpaQCAx48fY/ny5WWeY+LEiUhJSUFhYSFsbGzQrFkzhIaG4unTpzAyMsKkSZPw8OFD5Ofn4+rVq+jatav8+d+8eYOJEyfC3d0d1tbWsLKyQn5+PuLj48tker9El/7zp66QPn78GFeuXCmTsVGjRgDwwfeqTQxYByDaTyaTIT4+XuNXgCrCmDFj8PvvvyMpKQn79+/HtGnTWEciGoDmR0ll5efnIzY2FnXr1oWBgfq/5Zubm8PNzQ0AsG/fPjRr1gx79+7F559/DgA4e/YsnJycynyNsbFxmX82NDSU/33p1eHSUp6fn49ly5Zh6NChH7y2iYkJAKBbt24IDQ2FsbExunbtCltbWzRu3Bg3btzA1atXMXv2bPnXjB07FhkZGdi4cSPq1q0LY2NjdOjQoUp7w+bn54PP5yMgIOCDj5UWbG2k/j+dRKNJpVLExcXRHnn/z8TEBLNnz8asWbOwf/9+DBkyBLVq1WIdi6g52vKJVEXp9nouLi5lypq609PTw8KFCzFr1ixERETA2NgY8fHxZa5QVlTLli3x6tUreen9mK5du2Lfvn0wMDBA3759AbwrqceOHUNERIR8fhQAwsLCsG3bNvTv3x8AkJCQ8NHFR7dv38aYMWPK/HOLFi0+mfHkyZOoV6+eRvwSoSh0y54ojVQqRWxsLJXRf+jZsyfatGmDkpISbNiwgXUcogFoQROpKpFIpJF7Pn/zzTfQ19fHzp07MWfOHMycORMHDx5EdHQ0Hjx4gM2bN+PgwYPlfr4ff/wRhw4dwrJly/D8+XOEh4fj+PHjWLRokfxzunTpgry8PAiFQnn57NatG44ePYqaNWuW+e/Q3d0dhw8fRnh4OO7cuYORI0d+dKzm119/xb59+xAREYElS5bg77//ho+Pz0czTps2DZmZmRgxYgTu3r2L6OhoXLhwAePGjdPqbRKpkBKlkEgkiImJoQ2NP4LH42HevHnQ09PDhQsXcO/ePdaRiBqTSqXyuTG6QkqqQiwWa9xRowYGBvDx8UFgYCAWLFiAxYsXY/Xq1WjcuDH69u2Ls2fPwsXFpdzP16dPHwiFQly8eBFt2rRB+/bt8fPPP6Nu3bryz6lWrRq++OILVK9eXT672aVLF8hksg+uzu7duxdZWVlo2bIlRo8ejenTp8PBweGD1122bBmOHz+Opk2b4tChQzh27Bg+++yzj2asVasWwsLCIJVK0bt3b3zxxReYMWMGbGxsoKenvbWNVtkThSs9l76kpIR1FLW2fPly/Prrr2jUqBGOHz8OfX191pGIGoqLiwOfz4eJiQlu375NPyekygwMDODq6irfTokQdaC9VZswQWW0/Hx8fGBpaYmXL1/+6znHRLeV3q6vX78+lVGiEKV3sDTpSinRflRIicJQGa0YW1tbTJkyBQCwadOmDzZSJgSgFfZEOaiUEnVDhZQoBJXRyhk+fDhcXFyQmZmJnTt3so5D1BAVUqIsVEqJOqFCSqqsdDU9ldGKMzQ0xNy5cwEAR48eRWxsLONERN3Qlk9EmUovJlApJaxRISVVQmW06r788kt07twZEokE69atYx2HqJHCwkIkJCQAoC2fiPKIxWLExsZq3JZQRLtQISWVVlpGaWunqvP394eBgQGuXbuGGzdusI5D1ERMTAw4joOtrS3s7OxYxyFarHRLKCqlhBUqpKRSSo8DpTKqGC4uLvDy8gIABAYG0psCAUDzo0S1xGIx4uLitHrzdaK+qJCSCuM4DklJSSgoKGAdRat8//33sLW1RWxsLE6cOME6DlEDND9KVK2kpASvX7+Wn/1OiKpQISUVwnEcUlNTkZOTwzqK1rGysoKvry8AYNu2bcjMzGSciLBGR4YSFgoLC5GYmAg6N4eoEhVSUiHp6enIyMhgHUNrDRkyBA0bNkReXh62bt3KOg5hjG7ZE1Zyc3ORkpJCpZSoDBVSUm5ZWVl48+YN6xhaTV9fH/PmzQMA/Pbbb3j16hXjRISV9PR0ZGZmgsfjoX79+qzjEB2UmZmJt2/fso5BdAQVUlIueXl5SEpKYh1DJ7Rp0wa9e/eGTCZDYGAgXaHQUaVXR52dnWFqaso4DdFVaWlpND5EVIIKKflPhYWFiI+PZx1Dp8yaNQvGxsb4+++/cfnyZdZxCAM0P0rURXJyMnJzc1nHIFqOCin5V8XFxYiLi6OrdCrm5OQEb29vAMC6devo4AEdRPOjRJ0kJCTQzipEqaiQkk8q3ZOOtv9gY/z48XBwcEBSUhIOHTrEOg5RMSqkRJ1wHIfXr1/T3tNEaaiQko+SyWSIi4uDRCJhHUVnmZmZYebMmQCA3bt3Iy0tjXEioipSqRTR0dEAqJAS9UHvC0SZqJCSD3Ach8TERLpNrAYGDBiAZs2aoaioCBs3bmQdh6hIYmIiiouLYWJiAmdnZ9ZxCJGTSCSIjIzEw4cPWUchWoYKKfnA27dvaYBdTfB4PMyfPx8AcObMGTx58oRxIqIKpbfrXV1doa+vzzgNIf+TlZWFUaNGoWvXrnjx4gXrOESLUCElZeTk5NCtYTXz+eefY9CgQQCAgIAAmunVAXRkKFFH0dHR8PLywoMHD8BxHO2TTBSKCimRKyoqQmJiIusY5CP8/PxgZmaGJ0+e4OzZs6zjECWjLZ+IugkLC8OoUaOQmJiI2rVr48iRI3B3d0d+fj7raERLUCElAN7NBb1+/Zq2d1JT1atXx8SJEwEAQUFBKCwsZJyIKBOtsCfqJDg4GFOnTkV+fj5atWqF4OBg+elh8fHxtN6AKAQVUgKZTIb4+HhaOanmRo8ejdq1ayMtLQ179uxhHYcoSVFRkfwgCiqkhCWxWIyVK1di9erVkMlkGDx4MHbv3o1q1arJP0cmk+H169eQSqUMkxJtQIWUICUlha64aQBjY2PMmTMHAHDw4EEar9BSMTEx4DgOtra2sLe3Zx2H6Kjc3FxMnToVJ06cAI/Hw6xZs7B8+XIYGhp+8LkikQgJCQl0h41UCRVSHZeRkYGsrCzWMUg5de/eHe3atYNIJMKGDRtYxyFKQAuaCGvx8fEYOXIkbt++DVNTU2zcuBHjxo0Dj8f75Nfk5+fTglhSJVRIdVh+fj5SUlJYxyAVwOPxMHfuXOjp6eHSpUu4e/cu60hEwWh+lLB09+5deHl5IS4uDo6Ojjh8+DA8PDzK9bVv375Fdna2cgMSrUWFVEeJxWIkJCSwjkEqoUGDBvjmm28AAGvWrKHZLS1DV0gJK7///jsmTZqEnJwcNG3aFMeOHUPDhg0r9BxJSUm0yIlUChVSHVR6EhMVGc3l4+MDKysrRERE4OTJk6zjEAWiLZ+IqkmlUqxbtw5LliyBRCJBv379sHfv3krNMHMch/j4eNovmVQYFVId9PbtWxQUFLCOQarAxsYGU6dOBQBs3rwZOTk5jBMRRcjIyEBmZiZ4PJ58Wx1ClKmgoAB+fn44ePAgAGDq1KkICAiAiYlJpZ+zpKSExsFIhVEh1TEFBQU0eK4lhg0bhvr16yM7Oxs7duxgHYcoQOnVUWdnZ5iamjJOQ7RdcnIyRo8ejatXr8LY2Bhr167FlClT/nXxUnllZWXRL8qkQqiQ6hCJREJzo1rE0NAQc+fOBQAcP34cMTExjBORqqIFTURVHj16hBEjRiAyMhL29vbYv38/+vbtq9DXSExMhEgkUuhzEu1FhVRHlM6N0ub32qVjx47o1q0bJBIJ1q5dyzoOqSIqpEQVhEIhxo8fj8zMTDRq1AjHjh3DF198ofDXoXlSUhFUSHVERkYGnTmspebMmQMDAwPcuHED165dYx2HVAEVUqJMMpkMmzZtwoIFCyAWi9GjRw8cPHgQjo6OSnvN4uJivHnzRmnPT7QHFVIdUFRUhNTUVNYxiJLUrVsXo0ePBgCsXbsWYrGYcSJSGVKpFFFRUQCokBLFKyoqwpw5c7B7924AwHfffYcNGzbAzMxM6a+dkZGBvLw8pb8O0WxUSLWcVCqVn4tNtNekSZNga2uLuLg4BAcHs45DKiExMRHFxcUwNjZGnTp1WMchWuTNmzfw9vbGpUuXYGhoiFWrVsHPzw96eqqrAAkJCfTLMvlXVEi1GMdxSEpKoj8EdICFhQX8/PwAADt27EBGRgbjRKSiSm/X169fH/r6+ozTEG3x/PlzeHl54cWLF6hWrRr27NmDgQMHqjyHTCaj8+7Jv6JCqsVycnKQm5vLOgZRkUGDBqFx48bIz8/Hli1bWMchFUTzo0TRLl26BG9vb6SlpcHNzQ3BwcFo2bIlszyFhYVIT09n9vpEvVEh1VJisRjJycmsYxAV0tfXx/z58wEAJ0+exMuXLxknIhVBhZQoCsdx2LVrF2bNmoXi4mJ8+eWXOHz4MGrXrs06Gt68eYPi4mLWMYgaokKqhUpv1dNWG7qnZcuW6NevHziOw5o1a+j2mAahQkoUoaSkBAsXLsTmzZsBAKNGjcLmzZthYWHBONn/JCYm0p9N5ANUSLVQTk4ObfGkw2bOnAkTExPcv38fFy9eZB2HlENxcbF88SGdYU8qKz09HRMmTIBQKISBgQEWL16MefPmwcDAgHW0MoqLi+nWPfkAFVItQ7fqSc2aNTF+/HgAwPr16+n2mAaIjo6GTCZDtWrVYGdnxzoO0UARERHw8vLC48ePYWlpiR07dmDYsGGsY30S3bon/0SFVIvQrXpSytvbG46OjkhJScHBgwdZxyH/ISIiAsC72/WKOEec6JarV69i9OjRSElJQd26dREcHIx27dqxjvWf6NY9eR8VUi2SnZ1Nt+oJAMDU1BSzZs0CAOzdu5cORlBzpfOjdLueVATHcTh48CB8fX1RWFiIdu3a4ejRo6hXrx7raOVCt+7J+6iQagmxWIyUlBTWMYga6du3L1q0aIGioiIEBQWxjkP+BS1oIhUlFouxbNkyrFu3DhzH4euvv8b27dthbW3NOlqF0K17UooKqRagW/XkY3g8HubNmwcej4ezZ8/i0aNHrCORT6BCSioiOzsb33//PU6ePAk9PT3MnTsXP/74IwwNDVlHqxS6dU8AKqRagW7Vk09p0qQJhgwZAgBYs2YN/dKihjIzM5GRkQEej4f69euzjkPUXExMDEaOHIm7d+/C3NwcmzdvxujRozV69phu3ROACqnGk0gkdKue/CtfX1+Ym5vj+fPnEAgErOOQfyi9Olq7dm2YmZkxTkPU2a1btzBq1CjEx8fDyckJR44cQZcuXVjHUgi6dU+okGq4lJQUuupF/pW9vT2+//57AEBQUBAKCgoYJyLvo9v1pDxOnDiBKVOmIC8vDy1atEBwcDDc3NxYx1Ko5ORkunWvw6iQarCCggLk5OSwjkE0wMiRI1GnTh2kp6dj9+7drOOQ97y/5RMh/ySRSLB69WqsXLkSUqkUAwcOxJ49e2Bra8s6msIVFhYiNzeXdQzCCBVSDcVxHG2AT8rNyMgI/v7+AIBDhw4hISGBcSJSirZ8Ip+Sl5cHHx8fBAcHAwD8/PywcuVKGBkZMU6mPCkpKZBKpaxjEAaokGqozMxMlJSUsI5BNEjXrl3RsWNHiMVirFu3jnUcAkAmkyE6OhoAXSElZSUkJGDUqFEICwuDqakpgoKC8N1332n04qXykEgkePv2LesYhAEqpBpIIpHgzZs3rGMQDcPj8TB37lzo6+vjr7/+wu3bt1lH0nmJiYkoKiqCsbEx6tSpwzoOURP37t2Dl5cXYmJi4ODggIMHD6JHjx6sY6lMeno6XXDRQVRINVBqaiotZCKVUr9+fXz77bcAgICAAEgkEsaJdFvp7XpXV1fo6+szTkPUwR9//IGJEyciOzsbTZo0wbFjx9C4cWPWsVSOFjjpHiqkGqawsBDZ2dmsYxANNnXqVFhbWyMqKgq//fYb6zg6jRY0kVJSqRQbNmzAjz/+CIlEgj59+mD//v1wcHBgHY2JgoICWuCkY6iQapDSE5kIqQpra2v4+PgAALZs2UI7NTBEC5oI8O5Cw4wZM7B//34AwOTJkxEYGAhTU1PGydiibQ11CxVSDUILmYiifP3113Bzc0NOTg62bdvGOo7Ooj1ISUpKCsaMGYPQ0FAYGRkhICAA06ZNg54evT1LJBKkpaWxjkFUhH7iNQQtZCKKZGBggHnz5gF4t+F26UpvojrFxcWIj48HQFdIddWTJ08wYsQIvHr1CnZ2dti3bx/69+/POpZaoQVOuoMKqYZ48+YN3bogCtW+fXt0794dUqkUAQEBtIBAxaKjoyGTyVCtWjXY2dmxjkNU7Pz58xg3bhwyMjLQoEEDHDt2DM2aNWMdSy3R8di6gQqpBigpKUFWVhbrGEQLzZkzB4aGhrh16xauXr3KOo5Oef92vbbvLUn+h+M4bN26FXPnzoVIJEK3bt1w+PBh1KxZk3U0tZWfn09HHusAKqQagG7VE2VxdnbGmDFjAABr166FSCRinEh30Pyo7ikuLoa/vz927NgBABg3bhyCgoJgZmbGOJn6S01Npbs4Wo4KqZorKiqirS+IUk2cOBH29vaIj4/H0aNHWcfRGVRIdcvbt28xbtw4XLhwAQYGBli+fDlmzZpF+8+WU1FREfLy8ljHIEpEhVTNpaamso5AtJy5uTn8/PwAADt37kR6ejrjRLqBCqnuCA8Px/Dhw/Hs2TPY2Nhg9+7dGDJkCOtYGoeukmo3KqRqjOZmiKoMHDgQTZo0QUFBATZv3sw6jtbLzMyUF383NzfGaYgyXb58GWPHjkVaWhpcXV0RHByM1q1bs46lkUQiER0Mo8WokKopjuPo6ihRGT09PcyfPx/Au6MLnz9/zjiRdiu9Olq7dm2aH9RSHMdhz549mDFjBoqKitCxY0ccOXIEzs7OrKNpNNpxRntRIVVTubm5KC4uZh2D6JDmzZtjwIAB4DiOtoFSMjqhSbuJRCIsWrQIGzduBACMGDECW7duhaWlJeNkmk8ikSAzM5N1DKIEVEjVEF0dJazMmDEDpqamePjwIUJCQljH0Vo0P6q9MjMz8d133+HMmTPQ19fHDz/8gIULF8LAwIB1NK2RlpYGqVTKOgZRMCqkaigrKwtisZh1DKKDHB0dMX78eADAhg0bUFRUxDiRdqJCqp2ioqLg5eWFhw8fwtLSEtu2bcPw4cNZx9I6MpmMFl9qISqkakYmk9G+o4Qpb29v1KxZE6mpqThw4ADrOFpHJpMhKioKABVSbXL9+nWMGjUKSUlJcHZ2xpEjR9CxY0fWsbRWeno6JBIJ6xhEgaiQqpnMzEy6FUGYMjExwezZswEA+/bto2P7FCwpKQlFRUUwMjJCnTp1WMchVcRxHI4cOQIfHx8UFBSgdevWCA4OhqurK+toWo3jOLx9+5Z1DKJAVEjViEwmo//AiFro3bs3WrVqheLiYvz888+s42iViIgIAED9+vVprlDDicVirFixAgEBAZDJZBg6dCh27doFGxsb1tF0QmZmJl0l1SJUSNVIdnY2XR0laoHH42H+/Png8Xg4f/48Hjx4wDqS1igtpHS7XrPl5ORgypQp+PXXX8Hj8TBnzhwsXboUhoaGrKPpDI7jkJGRwToGURAqpGqCbj8QddOoUSMMHToUALBmzRra+09BaMsnzRcXF4dRo0bhzp07MDMzw+bNmzF27FjweDzW0XRORkYGXcjRElRI1UROTg6trCdqx9fXFxYWFggPD8fp06dZx9EKtMJes925cwcjR45EXFwcatasiUOHDqFr166sY+ksmUxG+5JqCZ0tpN26dcOMGTNYxwBAV0eJ+rKzs8PkyZMBAEFBQcjPz2ecSLMVFxcjPj4eABVSTfTrr79i8uTJyM3NRbNmzRAcHIyGDRuyjqXz0tPT6Q6OFlBpId2xYwcsLS3LDCHn5+fD0NAQ3bp1K/O5oaGh4PF4iI6OVmVEJvLy8lBSUsI6BiEf5eXlhXr16iEzMxO7du1iHUejxcTEQCaTwcbGBvb29qzjkHKSSqUICAjA8uXLIZFIMGDAAOzdu5f+P1QTUqmUzrjXAiotpB4eHsjPz8e9e/fkj12/fh2Ojo64c+dOmaMyr1y5gjp16qB+/fqqjKhydHWUqDtDQ0P4+/sDAA4fPozXr18zTqS53r9dT/OGmiE/Px8+Pj44cuQIgHdjLKtXr4axsTHjZOR9b9++peOONZxKC2nDhg1Rs2ZNhIaGyh8LDQ3FoEGD4OLigtu3b5d53MPDAyUlJZg+fTocHBxgYmKCL7/8Enfv3i3zvFevXkXbtm1hbGyMmjVrYv78+WWuwhYUFGDMmDGwsLBAzZo1sX79eqV/r+VVWFhIp+EQtdelSxd06tQJEokE69atYx1HY9H8qGZJTEzE6NGjcePGDZiYmGD9+vWYNGkS/TKhhsRiMXJycljHIFWg8hlSDw8PXLlyRf7PV65cQbdu3dC1a1f540VFRbhz5w48PDwwd+5cnDx5EgcPHsSDBw/g5uaGPn36yIeYk5KS0L9/f7Rp0waPHz/G9u3bsXfvXqxcuVL+Gv7+/rh69SpOnz6NixcvIjQ0VG22sUlLS2MdgZBymTt3LgwMDBAaGoqbN2+yjqORaMsnzfHw4UN4eXkhKioKDg4OOHDgAHr37s06FvkXdJVUszEppGFhYZBIJMjLy8PDhw/RtWtXdOnSRX7l9NatWygpKUG3bt2wfft2rF27Fv369cNnn32G3bt3w9TUFHv37gUAbNu2Dc7OztiyZQsaNWqEwYMHY9myZVi/fj1kMhny8/Oxd+9erFu3Dj169MAXX3yBgwcPqsVmukVFRSgoKGAdg5BycXV1lZ/LHRgYSLtCVAJt+aQZBAIBJkyYgKysLDRu3BjBwcFo0qQJ61jkP5SUlCAvL491DFJJKi+k3bp1Q0FBAe7evYvr16+jQYMGqF69Orp27SqfIw0NDYWrq6t8K6ROnTrJv97Q0BBt27ZFeHg4ACA8PBwdOnQocwulU6dOyM/PR2JiIqKjoyESidCuXTv5x21tbdViZSTNjhJNM3nyZFSrVg3R0dH45ZdfWMfRKFlZWUhPTwcAuLm5MU5DPkYmk2Hjxo1YuHAhxGIxevbsiQMHDqBGjRqso5FyovdVzaXyQurm5obatWvjypUruHLlinz/tlq1asHZ2Rk3b97ElStX0L17d1VHUymxWIzc3FzWMQipEGtra/j4+AB4d3eCVraWX+nV0dq1a8PMzIxxGvJPhYWFmDVrFvbs2QMAmDhxItavX0//X2mYoqIiWpehoZjsQ+rh4YHQ0FCEhoaW2e6pS5cuOH/+PP7++294eHigfv36MDIyQlhYmPxzxGIx7t69i88++wwA0LhxY9y6davM3EhYWBgsLS1Ru3Zt1K9fH4aGhrhz547841lZWfJZLlZoI1+iqb766is0aNAAubm52Lp1K+s4GoMWNKmv1NRUeHt74/LlyzA0NMRPP/2E6dOnQ09PZ7fq1mh0nKhmYlZIb9y4gUePHpU54aJr167YuXMnRCIRPDw8YG5ujilTpsDf3x8hISF48eIFJk6ciMLCQkyYMAEAMHXqVCQkJMDX1xcvX77E6dOnsWTJEsyaNQt6enqwsLDAhAkT4O/vj7/++gvPnj2Dt7c30z9oOI6jQko0lr6+PubNmwcA+OWXX5j/cqcpqJCqp2fPnsHLywvh4eGwtbXFvn37wOfzWcciVZCTk0PHiWogAxYv6uHhgaKiIjRq1KjMbE7Xrl2Rl5cn3x4K+N8Z2qNHj0ZeXh5at26NCxcuoFq1agAAJycnnDt3Dv7+/mjWrBlsbW0xYcIELFq0SP68a9euRX5+Pvh8PiwtLTF79mym20Pk5ubSfyxEo7Vt2xa9evXCpUuXEBgYiN27d9NWOP+BCqn6CQkJwaJFi1BSUgI3Nzds2bIFTk5OrGORKuI4DllZWXRwgYbhcbRHgsrFxMSgsLCQdQxCqiQxMRGDBg2CSCRCUFAQevTowTqS2pLJZGjfvj2Kiopw+vRpuLq6so6k0ziOw44dO7Bt2zYA78bFAgMDYW5uzjgZURRDQ0M0aNCAflHWIDQgo2LFxcVURolWqF27NsaOHQsAWLduHUQiEeNE6ispKQlFRUUwMjJCnTp1WMfRacXFxZg3b568jI4ZMwabNm2iMqplxGIxbauoYaiQqhjNjhJt8t1336F69epITEzE4cOHWcdRW6VztvXr14eBAZNJKQIgPT0dEyZMwPnz52FgYIClS5fC398f+vr6rKMRJaDFTZqFCqkKSaVSZGVlsY5BiMKYmZlh5syZAIBdu3bRHoCfQPOj7L169QojRozAkydPYGVlhZ07d+Krr75iHYsoUV5eHh3goUGokKpQTk4OHWtGtM6AAQPQtGlTFBYWYuPGjazjqCUqpGxduXIFo0ePRmpqKurVq4fg4GC0bduWdSyiAnRXUnNQIVURjuPo9gHRSnp6evJtoE6fPo1nz54xTqR+qJCywXEc9u/fDz8/PxQVFaF9+/Y4cuQI6tatyzoaUZHMzEy6EKQhqJCqSFFREUpKSljHIEQpmjZtioEDBwJ4t1UbvQH8T0lJCV6/fg2ACqkqicVi/Pjjj9iwYQM4jsO3336Lbdu2wdramnU0okJSqZRORdQQVEhVhK6OEm3n5+cHU1NTPH78GOfOnWMdR21ER0dDJpPB2toa1atXZx1HJ2RlZWHixIk4deoU9PT0MH/+fPzwww8wNDRkHY0wQO+/moEKqQrIZDL6DY1oPQcHB0ycOBEAsGHDBtre7P+9f7ue9kRUvpiYGHh5eeH+/fuwsLDA1q1bMXLkSPp3r8MKCwtpcZMGoEKqArm5uXQLk+iEMWPGwMnJCWlpadi3bx/rOGqhtJA2aNCAcRLtFxYWhpEjRyIxMRFOTk44cuQIvvzyS9axiBrIzs5mHYH8ByqkSiYSiWirJ6IzjI2NMWfOHADAgQMHkJSUxDgRe7SgSTWCg4MxdepU5Ofno2XLlggODkb9+vVZxyJqggqp+qNCqmRr1qxB9+7dsXPnTnpzJjqhR48eaNu2LUpKSrBhwwbWcZijQqpcYrEYK1euxOrVqyGTyTBw4EDs3r0btra2rKMRNVJSUoLi4mLWMci/oLPslaxp06Z4+vSp/J9btmwJPp+P3r17w8rKimEyQpTn1atXGDZsGGQyGfbv34/WrVuzjsREdnY2OnfuDAC4ffs2HU+pYLm5uZg9ezZu374NHo+HGTNmYNy4cTQvSj7K3t4ejo6OrGOQT6ArpEp26NAhrFy5Eu3atQOPx8ODBw+wbNkyeHh4YPbs2QgNDaVha6J1GjZsiK+//hoAEBAQAKlUyjgRG6VXR52cnKiMKlh8fDxGjhyJ27dvw9TUFEFBQRg/fjyVUfJJ2dnZtJ5DjVEhVaKSkhIYGBhg0KBB2LNnDy5evIiZM2fCzc0NIpEIFy9ehK+vL3r06IGffvoJT58+pf9YiNaYNm0aLC0t8fLlS/zxxx+s4zBReoY93a5XrLt378LLywtxcXFwdHTEoUOH0L17d9axiJqTSCS0+4cao0KqRDk5OWX+2dHREePHj8fvv/+OX3/9FaNHj4adnR2ysrJw7NgxeHl5YeDAgdi1axeSk5MZpSZEMWxtbTF16lQAwObNm3Vy6zOaH1W833//HZMmTUJOTg6++OILHDt2DI0aNWIdi2gIWtykvmiGVEk4jkNERMR/3o6XSCS4ffs2BAIB/vrrrzJD161atZLPm1paWio7MiEKJxaL8dVXXyE2NhZjxoyBv78/60gqNXLkSDx58gRr165F3759WcfRaFKpFD///DMOHjwIAOjXrx+WL18OExMTxsmIJtHT00OjRo2gp0fX49QNFVIlKSwsRExMTIW+pqCgAJcuXYJQKMTff/8tv31vZGQEDw8P8Pl8dOzYkU4bIRrlxo0bmDJlCgwMDPD777/DxcWFdSSVkMlkaN++PYqKinD69Gm4urqyjqSxCgoKMG/ePFy9ehUAMHXqVEyePJnmRUmlODs70xGyaogKqZIkJycjMzOz0l+fmpqKs2fPQigUIioqSv64ra0t+vbtCz6fjyZNmtAfyEQjTJs2DdeuXUOXLl2wdetW1nFUIiEhAf3794eRkRHu3LkDAwMD1pE0UnJyMnx8fBAZGQljY2OsXLmSrjaTKrG0tETdunVZxyD/QIVUCTiOw8uXLxWysrj0uc6cOYNz586VKbkuLi7g8/kYMGAAatWqVeXXIkRZ4uLiMGTIEEgkEmzbtk2+FZI2++uvv+Dn54dGjRrh119/ZR1HIz169Ah+fn7IzMyEvb09Nm3ahC+++IJ1LKIFGjduDH19fdYxyHtoiEIJioqKFLbNDY/HQ+PGjTFv3jxcvnwZ27ZtQ79+/WBiYoLY2Fhs2rQJffr0wbhx4/D7778jLy9PIa9LiCLVq1cPI0eOBAAEBgbqxFZntKCpaoRCISZMmIDMzEw0atQIx44dozJKFCY/P591BPIPVEiVQFml0MDAAJ07d0ZgYCCuXLmCFStWoG3btuDxeLh37x6WLFkCDw8P+Pv749q1azrxpk80x/fffw9bW1vExcXh+PHjrOMoHRXSypHJZNi0aRMWLFgAkUiE7t274+DBg7ShOVEoXdz1Q93RLXsliIiIgEgkUtnrpaamQigUQigUIjo6Wv64ra0t+vXrBz6fj88++4zmTQlzJ0+exNKlS2FpaQmhUKjVxzsOHDgQsbGx2L59O7788kvWcTRCUVERfvjhB1y6dAkAMH78ePj5+dGKaKJwenp6aNy4Mb0vqhEqpAomEonkm2GrGsdxePHiBYRC4UfnTQcOHIgBAwagZs2aTPIRIpVKMXz4cLx8+RLDhg3D4sWLWUdSipKSErRr1w5SqRSXL1+Gg4MD60hq782bN5g+fTpevHgBAwMDLFmyBIMHD2Ydi2gxFxcXOkFNjVAhVbCMjAykpKSwjgGJRIKbN29CKBTir7/+QklJifxjbdq0AZ/PR69evWBhYcEwJdFF9+7dw7hx46Cnp4dffvkFDRs2ZB1J4cLDwzFs2DBYW1vj+vXrdBXmPzx//hzTp09HWloaqlWrhqCgILRs2ZJ1LKLl6Gx79UL3QRRMXeZSDAwM0KVLFwQGBiI0NBTLly9HmzZtALw7du/HH39Et27dMHfuXFy7dg0SiYRxYqIrWrdujT59+kAmkyEgIEArj8t9f36Uyui/u3TpEry9vZGWlob69evj6NGjVEaJSvzzNEXCFhVSBZJKpSgoKGAd4wMWFhYYMmQI9u3bh4sXL8LPzw+urq4oKSnB+fPnMW3aNPTo0QMBAQF4/vy5VhYEol5mzZoFY2Nj3L17F3/++SfrOApHC5r+G8dx2LVrF2bNmoXi4mJ06tQJhw8fhrOzM+toREeIxeIydw8JW1RIFUgTtpGoWbMmvvvuO5w6dQrHjx/HqFGjYGtri8zMTBw5cgTDhw/H4MGDsWfPHqSmprKOS7RUrVq1MG7cOADA+vXrte5NgQrpvyspKcHChQuxefNmAMCoUaOwZcsWOiKZqBxtlag+aIZUgRISEjTyFoBYLMatW7cgEAhw5coVeTng8Xho06YNPD09ad6UKFxhYSH4fD7S0tIwffp0TJw4kXUkhenRowfS0tJw+PBhNG/enHUctZKRkYEZM2bg0aNH0NfXx8KFCzFs2DDWsYiOMjMzo2N91QQVUgXhOA7h4eGQyWSso1RJXl4eLl26BIFAgHv37skfNzExgYeHB/h8Pjp06EDHIBKFOHv2LObPnw9TU1MIBALUqFGDdaQqy87Olp9Edfv2bVrF+56IiAj4+voiOTkZlpaW2LBhA9q3b886FtFxjRo1ovc0NUCFVEHy8/MRFxfHOoZCJScn4+zZsxAIBIiNjZU/bmdnJ9/flPZxI1XBcRzGjBmDR48egc/n46effmIdqcru3r2L8ePHw8nJCSEhIazjqI1r167B398fhYWFqFu3LjZv3gwXFxfWsQiBk5MTqlWrxjqGzqMZUgXRhPnRiqpVqxYmTpyI06dP4/jx4/Dy8kK1atWQkZGBI0eO4Ntvv8WQIUOwd+9emjcllcLj8TB//nwAgEAgwOPHjxknqrrSfYhpfvQdjuNw8OBB+Pj4oLCwEG3btsXRo0epjBK1QXOk6oEKqYJoYyEtxePx0KRJEyxYsACXL1/Gli1b0KdPHxgZGSE6OhpBQUHo3bu3fLGUOu40QNRXkyZN5BugBwYGavzYCy1o+h+xWIxly5Zh3bp14DgOX331FXbs2AFra2vW0QiRKygooN1l1ADdslcAqVSK8PBw1jFUrnTe9MyZM7h//778cRMTE3Tv3h18Ph/t27en2Rzyn9LT0zFgwAAUFhbip59+Ap/PZx2p0kaOHIknT55g7dq16Nu3L+s4zGRnZ2PWrFm4e/cu9PT0MGfOHIwaNYpGfIhacnd3h7GxMesYOo0KqQLk5eXh9evXrGMwlZSUJJ83fX+W1s7ODv379wefz0ejRo3ozYh80t69exEUFITq1atDKBTCzMyMdaQKk8lk6NChAwoLC3Hq1CnUr1+fdSQmYmJi4Ovri/j4eJibmyMwMBBdunRhHYuQT6pVqxZsbW1Zx9BpVEgVICUlBRkZGaxjqAWO4/D8+XOcOXMGISEhyMrKkn/Mzc0Nnp6eGDBgAB3XRj4gEokwePBgJCQkYOLEiZg+fTrrSBWWmJiIfv36wdDQEHfu3IGhoSHrSCp369YtzJ49G3l5eahVqxa2bNlC4wtE7VlZWaFOnTqsY+g0KqQKEBUVheLiYtYx1I5YLEZYWBgEAgFCQ0MhEokAvJtJbdu2Lfh8Pnr27Enb4hC5v/76C35+fjAyMsLp06dRu3Zt1pEqpDR/w4YN8dtvv7GOo3InTpzA6tWrIZVK0bx5cwQFBcHOzo51LEL+k76+Pt3FY4wWNVWRVCqlMvoJhoaG6NatG9avX48rV65g6dKlaNmyJTiOw507d7Bo0SJ4eHhg3rx5CAsLg0QiYR2ZMObh4YH27dtDJBJhw4YNrONUmK4uaJJIJFi9ejVWrlwJqVQKPp+PPXv2UBklGkMqlWrdiXGahq6QVlFubi7i4+NZx9AoiYmJOHv2LIRCYZl5U3t7e/m8acOGDek3VR0VGRmJr7/+GjKZDHv37kXbtm1ZRyq3OXPm4MKFC5g1a5b8aFRtl5eXB39/f4SFhQEA/Pz8MGHCBPrvl2icmjVr0i9RDFEhrSKaH608juPw7NkzCAQCnD9/HtnZ2fKPubm5YeDAgejfv79WnN5DKmbVqlU4fvw4GjRogBMnTmjMTg2DBg1CTEwMtm/fji+//JJ1HKVLSEiAj48PYmJiYGpqip9++gk9e/ZkHYuQSqE5UraokFZRZGQkXeZXALFYjBs3bsjnTcViMYB386bt2rWTz5tq4sprUnHZ2dkYMGAAcnNzsXjxYo0461wkEqFt27aQSqX4888/tf4Xqfv372PGjBnIzs6Gg4MDNm/ejM8++4x1LEIqjeZI2aJCWgW6uv+osuXm5uLixYsQCAR48OCB/HFTU1N0794dAwcORLt27aCvr88wJVG24OBgrF69GjY2NhAKhWq/mfrLly/xzTffwMrKCjdu3NDqN7VTp05h2bJlkEgkaNKkCTZt2gQHBwfWsQipMjc3N5iYmLCOoZNoUVMV0IlEymFlZYWvv/4aBw8exPnz5zFt2jTUrVsXRUVFOHv2LL7//nv06tUL69atw6tXr1jHJUoybNgwuLm5ITs7Gzt27GAd5z+9v6BJW8uoVCrFhg0bsHjxYkgkEvTu3Rv79++nMkq0Br2vs0OFtAroB1f5ateujcmTJ0MgEODo0aMYPnw4rK2t8fbtWxw8eBBff/01hg4div379yMtLY11XKJABgYG8Pf3BwAcP34cMTExjBP9O20/w76wsBAzZszA/v37AQDff/891q5dC1NTU8bJCFEcel9nhwppFRQVFbGOoDN4PB6aNm2KH374AVeuXMHGjRvRq1cvGBoaIjIyEhs2bECvXr0wadIkCAQCFBYWso5MFKBjx47o1q0bJBIJAgMD1fq8aW3e8iklJQVjxoxBaGgojIyMsGbNGvj4+EBPj95CiHah93V2aIa0kjiOw4sXL9T6DVIX5OTk4OLFixAKhR/Mm/bo0QN8Pp/mTTVcfHw8Bg0aBIlEgq1bt6rtEZQ9evRAWloaDh8+jObNm7OOozBPnjzB9OnTkZGRAVtbW2zcuFGrvj9C/qlx48b0nsEAFdJKKikpkV8RIeohISEBQqEQQqGwzN6wDg4O6N+/Pzw9PdGwYUOGCUllbdiwAfv370fdunXxxx9/qN2RnDk5OfJtnm7fvq01p4+dP38eixYtgkgkgru7O7Zs2YJatWqxjkWIUtWrVw8WFhasY+gcKqSVlJ2djcTERNYxyEdwHIcnT55AIBAgJCQEOTk58o81aNAAfD4f/fv3p4UYGiQ/Px+enp7IyMjAnDlzMHbsWNaRyrh79y7Gjx8PJycnhISEsI5TZRzHYdu2bfLFZF27dkVAQIDWFG1C/k2NGjVQvXp11jF0Dg0AVRLNmagvHo+HZs2aYdGiRbhy5QqCgoLQs2dPGBoaIiIiAuvXr0evXr3w/fff07yphrCwsICfnx8AYMeOHWp3GIU2zY8WFxfD399fXka9vb2xceNGKqNEZ9D7OxuacfyJGqIfWM1gaGiIHj16oEePHsjJycGFCxcgEAjw6NEj3Lx5Ezdv3oSpqSl69uwJT09PmjdVY4MGDcLx48fx4sULbN68GUuXLmUdSU5bCunbt28xffp0PHv2DAYGBli8eDGGDh3KOhYhKkXv72zQLftKoAVNmq903lQgECAhIUH+uIODAwYMGABPT080aNCAYULyMQ8fPsSYMWPA4/Fw4sQJNG7cmHUkAMCoUaPw+PFjBAYGol+/fqzjVEp4eDh8fX3x5s0bWFtb4+eff0abNm1YxyKECVrYpHpUSCuBFjRpD47j8PjxYwiFQpw/fx65ubnyjzVs2FA+b0rzROpj7ty5OH/+PFq2bIkDBw4w34ReJpOhQ4cOKCwsxB9//AE3NzemeSrj8uXLWLBgAYqKiuDi4oKtW7fC2dmZdSxCmKGFTapHhbQSaEGTdhKJRLh+/ToEAgGuXr0KiUQCANDT00OHDh3g6emJ7t27w8zMjHFS3Zaamgo+n4/i4mKsW7cOffr0YZonMTER/fr1g6GhIe7cuaN2OwD8G47jsG/fPmzcuBEcx6Fjx45Yu3YtrKysWEcjhCla2KR6VEgrISUlRe0WVRDF+ue8aSkzMzP5vGnbtm3plg4j27dvx7Zt21CzZk2cOXOG6dnTV65cwfTp09GwYUP89ttvzHJUlEgkwrJly3DmzBkAwPDhwzFv3jwYGNDSAkKsrKxQp04d1jF0Cq2yrwQaeNZ+1tbWGDZsGA4fPoyzZ89iypQpqF27NgoLC3HmzBlMmjQJvXv3xoYNG2h8gwFvb284OjoiJSUFBw4cYJpFExc0ZWZm4rvvvsOZM2egr6+PhQsX4ocffqAySsj/o/d51aNCWkEcx9EPqo6pU6cOpk6dinPnzuHw4cMYNmwYrKyskJaWhv3792Po0KH45ptvcPDgQaSnp7OOqxNMTU0xe/ZsAMDevXuRmprKLIumFdKoqCh4eXnh4cOHsLS0xLZt2zBixAjWsQhRK2KxGFKplHUMnUK37CtIJBIhIiKCdQzCmEgkwrVr1yAQCHDt2rUP5k35fD66d+8OU1NTxkm1F8dx8Pb2xoMHD9C/f38EBAQwyTF48GBER0dj27Zt6Ny5M5MM5XX9+nX4+/ujoKAAzs7O2LJlC1xdXVnHIkQtubq60poBFaJCWkH5+fmIi4tjHYOokezsbPm86ePHj+WPl86bDhw4EG3atIGeHt2QULQXL15g+PDh4DiOyRnyIpEIbdu2hVQqxaVLl+Do6KjS1y8vjuNw9OhRrF27FjKZDK1atUJQUBBsbGxYRyNEbTk5OaFatWqsY+gMKqQVlJGRgZSUFNYxiJp6/fq1fH/TpKQk+eM1atTAgAEDwOfzNXJbIHW2ZMkS/P7772jSpAmCg4NVWvxfvnyJb775BpaWlggLC2O+BdXHiMVirF69Gr/++isAYMiQIVi8eLFG7QZACAv29vZq+0umNqJCWkG0wp6UB8dxePToEQQCAUJCQpCXlyf/WOPGjeHp6Yn+/fvD3t6eYUrtkJ6eDk9PTxQUFGDFihUYPHiwyl5bIBBg4cKFaNWqFfPFVR+Tk5OD2bNn486dO+DxeJg1axbGjh2rlsWZEHVDK+1Vi+4hVlBJSQnrCEQD8Hg8tGjRAj/++CNCQ0OxYcMGeHh4wMDAAOHh4Vi7di169uyJKVOm4Ny5c7RQrgrs7e0xefJkAEBQUBDy8/NV9trqvKDp9evXGDVqFO7cuQNTU1Ns3LgR3t7eVEYJKafi4mLWEXQKFdIKokJKKsrIyAi9evXCpk2bcOXKFfzwww9o2rQppFIpbty4gXnz5sHDwwOLFi3CnTt3IJPJWEfWOCNHjkTdunWRkZGB3bt3q+x1Sxc4qlshvXPnDry8vBAXFwdHR0ccPnwYHh4erGMRolHEYjEdEa5CdMu+AmQyGV68eME6BtEScXFxEAqFEAqFZeZNHR0d5fOm9evXZ5hQs1y9ehU+Pj4wNDTE6dOnVXL0ZY8ePZCWlsZkQdWn/Prrr/jpp58gkUjQtGlTbNy4kUZDCKmkBg0awMjIiHUMnUCFtAKKi4sRFRXFOgbRMhzH4eHDhxAIBLhw4cIH86Z8Ph/9+vWjUvEfOI7D5MmTcfPmTXTv3h0bN25U6uvl5OTgyy+/BADcunWL+bnXUqkU69atw5EjRwAA/fv3x/Lly2FsbMw0FyGajM60Vx0qpBWQm5uL+Ph41jGIFispKcHVq1chEAhw48YN+f6m+vr66NixI/h8Pjw8PJgelanOoqOj8dVXX0EqlWLXrl3o0KGD0l7r3r17GDduHGrVqoULFy4o7XXKIz8/H/7+/rhx4wYAwMfHB5MmTaJ5UUKqqGbNmrCzs2MdQyfQOXEVQPOjRNmMjY3Ru3dv9O7dG1lZWQgJCYFQKMSTJ09w/fp1XL9+Hebm5ujVqxf4fD5at25N+5u+p379+hg+fDiOHj2KwMBA/Prrr0o7DlNd5kcTExPh6+uLqKgomJiYYOXKlejTpw/TTIRoC5FIxDqCzqB3sgqgH0yiStWqVcOIESNw9OhRCAQCTJo0CU5OTigoKMCpU6cwYcIE9O3bFxs3bkRMTAzruGpjypQpsLGxQVRUlHzvTWVQhxX2Dx8+hJeXF6KiolC9enUcOHCAyighCkQr7VWHCmkF0BVSwkq9evXg6+uLc+fO4cCBA/jqq69gaWmJlJQU7NmzB4MGDcK3336LI0eO6Pw+udbW1vDx8QEAbN26FTk5OUp5ndJC2qBBA6U8/38RCASYMGECsrKy0LhxYwQHB6NJkyZMshCireh9X3VohrQCwsPDIZVKWccgBMC7PyhDQ0MhFAo/mDft1KkT+Hw+unXrppPzphKJBN988w2ioqLg5eWFBQsWKPT5OY5Dhw4dUFBQgD/++EOlp2/JZDJs3rwZe/bsAQD07NkTq1atojO3CVGSJk2a0Dy2ClAhLSeO4/D8+XPWMQj5qMzMTPm86dOnT+WPW1hYyOdNW7VqpVPzprdv38bEiROhr6+P3377TaGlMSkpCX379oWBgQH+/vtvlR3DWVhYiIULF+Ly5csAgIkTJ8LHx0en/n8lRNUaNmxIR+2qABXSchKLxXj16hXrGIT8p9jYWAgEApw9exbJycnyx2vWrAlPT094enrC1dWVYULVmTFjBi5fvowOHTpg586dCrvKERoaCl9fXzRo0AAnT55UyHP+l9TUVEyfPh3h4eEwNDTEsmXLwOfzVfLahOiy+vXrw9TUlHUMrUe/VpdT6e1QQtSdi4sLpk+fjvPnz2P//v1l5k13796NQYMGyVeia/u86ezZs2FoaIhbt24hNDRUYc+r6gVNz549g5eXF8LDw2Fra4u9e/dSGSVERcRiMesIOoEKaTlRISWaRk9PD61bt8bSpUtx5coVrFu3Dl27doWBgQGeP3+ONWvWoEePHvDx8UFISIhWriZ1dnbG2LFjAQBr165V2E4Zqtzy6cKFC/D29sbbt2/h5uaG4OBgtGjRQumvSwh5h97/VYNu2ZdTZmZmmdufhGiqzMxMnD9/HkKhEM+ePZM/bmFhgd69e8PT01Or5k0LCgrg6emJ9PR0zJo1C+PGjavycw4ePBjR0dHYunUrunTpooCUH+I4Djt37sTWrVsBAJ07d0ZgYCCdGkOIilWvXh01atRgHUPrUSEtp7S0NKSlpbGOQYhCxcTEQCgUQigUIiUlRf54rVq1MGDAAPD5fLi4uDBMqBinT5/GokWLYG5uDqFQWKVjWEUiEdq2bQupVIpLly7B0dFRgUnfKS4uxo8//ojz588DAEaNGoU5c+ZAX19f4a9FCPl31apVg5OTE+sYWo8KaTklJycjMzOTdQxClEImk+H+/fsQCoW4ePEi8vPz5R/7/PPP4enpiX79+sHW1pZhysqTyWQYOXIknj17hiFDhmD58uWVfq5Xr17h66+/hqWlJcLCwhS+HUx6ejr8/Pzw5MkTGBgYYOHChfjmm28U+hqEkPKzsLBAvXr1WMfQelRIy+n169fIy8tjHYMQpSsuLkZoaCgEAgHCwsLke+8aGBjgyy+/hKenJ7p16wZjY2PGSSvm0aNHGD16NHg8Ho4dO1bpTeQFAgEWLlyIli1b4uDBgwrN+OrVK/j4+CA1NRVWVlb4+eef0bZtW4W+BiGkYoyNjZkfEawLtGNITAVolR3RFSYmJujbty+2bt2Ky5cvY/78+WjSpAkkEglCQ0MxZ84ceHh4YOnSpbh37x5kMhnryOXSvHlzeHp6guM4BAQEoLK/iytrhf2VK1cwevRopKamol69eggODqYySogaoEVNqkGFtJyokBJdZGdnh5EjR+L48eM4ffo0vvvuOzg6OiIvLw8nT57EuHHj0L9/f2zevBlxcXGs4/6nGTNmwNTUFA8fPkRISEilnkPRR4ZyHIf9+/fDz88PRUVFaNeuHY4cOYK6desq5PkJIVUjlUor/QssKT+6ZV8OdEoTIf9TOm8qEAhw8eJFFBQUyD/2xRdfyOdNq1WrxjDlp+3cuRNbtmxBjRo1IBAIKrzhdY8ePZCWloZDhw5VefslsViM5cuX49SpUwCAYcOGYf78+XQqDCFqhk5rUj4qpOUgkUjw8uVL1jEIUTtFRUXyedObN29+MG/K5/PRtWtXtZo3LS4uxqBBg5CcnIwpU6Zg6tSp5f7anJwcfPnllwCAmzdvwtLSstI5srKyMHPmTNy/fx96enqYO3cuvLy86MxsQtQQndakfFRIy6GkpER+m44Q8nHp6ekICQmBQCDAixcv5I9bWlqid+/e4PP5aNmypVoUrosXL2L27NkwNjaGQCBAzZo1y/V19+7dw7hx41CrVi1cuHCh0q8fExODadOmITExEebm5li7di06d+5c6ecjhChXvXr1aA9gJaMZ0nLQlEUbhLBkb2+PUaNG4cSJEzh16hQmTJhQZt7U29sb/fr1w5YtW/D69WumWXv16oXWrVujpKQEGzZsKPfXKWJB082bNzFq1CgkJibCyckJR44coTJKiJqjHqB8VEjLofQ2JCGkfOrXr48ZM2bgwoUL2Lt3LwYPHgxzc3MkJSVh586d8PT0xMiRI3Hs2DFkZWWpPB+Px8O8efPA4/EQEhKC+/fvl+vrqlpIg4ODMXXqVOTl5aFly5YIDg6Gm5tbpZ6LEKI61AOUj27Zl0Nubi7i4+NZxyBEo5XOm545cwa3bt0qM2/auXNn+bypkZGRyjItW7YMv/32Gxo3boxjx47950lIo0ePxqNHjxAQEID+/fuX+3UkEgnWrFmDEydOAAAGDhyIJUuWqPR7JYRUXs2aNWFnZ8c6hlajQloO2dnZSExMZB2DEK2Rnp6O8+fPQyAQIDw8XP64paUl+vTpAz6fjxYtWih93jQzMxOenp7Iy8vDsmXLMHTo0E9+Lsdx6NixI/Lz8/H777+X+yppbm4u5syZg1u3boHH48HPzw/jx49Xi1laQkj51KhRA9WrV2cdQ6tRIS2HzMxMJCcns45BiFaKioqCQCDA2bNn8ebNG/njTk5O4PP58PT0VOqenIcOHcLatWtha2sLoVD4yZXzycnJ6NOnDwwMDPD333+XawuY+Ph4TJs2DXFxcTA1NcXq1avRo0cPRX8LhBAlq169OmrUqME6hlajQloO6enpSE1NZR2DEK0mk8lw9+5dCAQCXLp0CYWFhfKPNW3aFHw+H3379oWNjY1CX1csFmPo0KGIi4uDt7c3Zs+e/dHPCw0Nha+vL9zd3fH777//5/PevXsXM2fORE5ODmrUqIHNmzejcePGCs1OCFENOzu7cu/GQSqHFjWVAw0zE6J8enp6aNeuHVauXInQ0FAEBASgU6dO0NPTw5MnT7Bq1Sp4eHjAz88Pf/75J0QikUJe19DQEHPnzgUAHDly5JM7AFTkhKbff/8dkyZNQk5ODr744gscO3aMyighGoxW2SsfFdJyoB9EQlTL1NQU/fv3x44dO3D58mX4+/ujcePGkEgk+OuvvzBz5kx4eHhg+fLlePjwYZWP9evcuTO+/PJLSCQSrFu37qOfU54V9lKpFOvWrcOSJUsgkUjQt29f7Nu3j2bPCNFwdGFK+eiWfTkkJSUx2ZqGEFJW6bypUChEWlqa/PHatWvL503r1KlTqeeOiYnBV199BYlEgh07dqBTp05lPj5kyBBERUVh69at6NKlywdfX1BQgHnz5uHq1asAgClTpmDKlCm0eIkQLWBhYYF69eqxjqHVqJCWQ0JCAnJycljHIIT8P6lUKp83/fPPP8vMmzZr1kw+b2ptbV2h5w0MDMThw4fh6uqK3377Tb5wSSwWo23btpBIJLh06RIcHR3LfF1ycjJ8fHwQGRkJY2NjrFixAv369av6N0oIUQumpqaoX78+6xhajQppOcTFxSE/P591DELIRxQWFuKvv/6CUCjErVu35CM2BgYG6NKlCwYOHIjOnTuXa8/P3NxceHp6IisrC/Pnz8fIkSMBAK9evcLXX38NS0tLhIWFlbnq+ejRI/j5+SEzMxN2dnbYtGkTmjZtqpxvlhDChLGxcZVOaCP/jWZIy4FmSAlRX2ZmZvD09MSOHTvw559/Ys6cOWjUqJF83nTGjBnw8PDAihUr8OjRo3+dN7WysoKvry8AYOvWrfJRnffnR98vo0KhEBMmTEBmZiYaNmyI48ePUxklRAtpYw/g8Xg4deoU6xhyVEjLgS4iE6IZqlevjrFjx+LXX3/FyZMnMW7cODg4OCA3Nxe//PILRo8ejQEDBmD79u1ISEj46HMMHToUDRs2RF5eHrZu3QoAiIiIAPC/BU0ymQybN2/GggULIBKJ4OHhgUOHDn1wK58Qoh1U2QO8vb3B4/GwZs2aMo+fOnVKq2fSqZASQrRSgwYNMGvWLFy8eBG7du3CwIEDYWpqioSEBGzbtg39+/fH6NGj8csvv5SZEdfX18e8efMAAL/++isiIiLKXCEtKirCnDlzsGvXLgDAuHHjEBQUBDMzM9V/k4QQrWRiYoKAgACNX1AtFovL/blUSMuBrpASorn09fXRoUMHrFq1CqGhoVi9ejU6duwIPT09PHr0CCtWrICHhwdmzpyJy5cvQywWo02bNujVqxdkMhkCAgLkhdTe3h7e3t64dOkSDAwMsGLFCsyaNQt6evRHKSHaTNU9oGfPnnB0dMTq1as/+vGlS5eiefPmZR4LCgr6YCeAffv2oUmTJjA2NkbNmjXh4+PzyddMSEjAsGHDYGNjA1tbWwwaNAhxcXHyj9+9exe9evWCvb09rK2t0bVrVzx48KDMc/B4PGzfvh0DBw6Eubk5Vq1aVe7vmf4UJYTojNJ50507d8rnTRs2bAixWIw///xTPm+6cuVK9OvXD0ZGRvj777/lR5quXLkSL168gI2NDfbs2YPBgwez/YYIIVpJX18fP/30EzZv3ozExMRKPcf27dsxbdo0TJo0CU+fPsWZM2fg5ub20c8Vi8Xo06cPLC0tcf36dYSFhcHCwgJ9+/aVH0KSl5eHsWPH4saNG7h9+zbc3d3Rv39/5OXllXmupUuXYsiQIXj69CnGjx9f7rwGlfouCSFEw5XOm44dOxavXr2CUCjEuXPnkJaWhhMnTuDEiROwsrIqcyJUeno66tWrhw0bNsDJyanMdlOEEO2lr68PjuNUOsM5ZMgQNG/eHEuWLMHevXsr/PUrV67E7Nmz4efnJ3+sTZs2H/3cEydOQCaTYc+ePfLvcf/+/bCxsUFoaCh69+6N7t27l/maXbt2wcbGBlevXoWnp6f8cS8vL4wbN67CeamQlgPdsidEuzVs2BANGzbEjBkzcOfOHQiFQvz555/Izc394HPj4uIwdOhQBikJISzl5+fD3Nxcpa8ZEBCA7t27Y86cORX6urS0NCQnJ6NHjx7l+vzHjx8jKioKlpaWZR4vLi5GdHQ0AODNmzdYtGgRQkNDkZaWBqlUisLCQsTHx5f5mtatW1coaykqpIQQ8g8cx9EvooQQ5rp06YI+ffpgwYIF8Pb2lj+up6f3wZ9R7y8gMjU1rdDr5Ofno1WrVjh69OgHHys9+njs2LHIyMjAxo0bUbduXRgbG6NDhw5l7iIBqHRpp0JaDtq8zQIhBPJb9mfPnsXbt2/lj1tZWX1wlfT9W/aEEN2gr6/PbCeNNWvWoHnz5mjYsKH8serVqyM1NbXMGMGjR4/kH7e0tES9evVw+fJleHh4/OdrtGzZEidOnICDgwOsrKw++jlhYWHyHUqAd4ug0tPTq/CdlUWFlBCik9LS0nDu3DkIBAL5PqMAYG1tjb59+6J9+/aYO3duma+xt7dHXFwcxo8fj59//rnSt6YIIZpFX1+f2cWpL774AiNHjsSmTZvkj3Xr1g1v375FYGAgvv76a4SEhOD8+fNlyuTSpUsxefJkODg4oF+/fsjLy0NYWJj88I/3jRw5EmvXrsWgQYOwfPly1K5dG69fv8bvv/+OuXPnonbt2nB3d8fhw4fRunVr5Obmwt/fv8JXYv8NrbInhOiMwsJCCAQCTJo0Cb169cL69esREREBQ0ND9OrVCxs3bsSVK1ewaNEinDt3DmKxGO3atYODgwMAYPHixWjSpAmys7MxceJE/PHHH4y/I0KILli+fHmZ06IaN26Mbdu2YevWrWjWrBn+/vvvD+ZMx44di6CgIGzbtg1NmjSBp6enfAu7fzIzM8O1a9dQp04dDB06FI0bN8aECRNQXFwsL7l79+5FVlYWWrZsidGjR2P69OnyPxsVgc6yL4fo6GgUFRWxjkEIqQSpVFpmodL7/y23aNECnp6e6NOnD6ytreWP3717F+PHj4eenh5+/fVX/Pzzz7hx4wYWLVqEgQMHYtGiRbh48SKAdxvj+/n5QV9fX+XfGyFENQwMDNCoUSPWMbQa3bInhGiliIgICAQC+VZOpZydncHn8+Hp6QlnZ+cPvk4qlSIgIAAA8M0336BBgwZwd3fHjRs3EBkZCVNTU6xduxYuLi7YuXMn9u/fj9jYWAQEBNBpTYQQUklUSMuBFjURohnevn0rnwt99eqV/PHSuVBPT080a9bsX/+b/v333/Hq1StYWVnJTzVp0KABAMhvd+np6cHHxwcuLi748ccfERoaijFjxmDz5s2oWbOmEr9DQggL1AOUjwppOdCxgISor8LCQvz1118QCAS4ffu2fM7KwMAAXbt2BZ/PR5cuXWBoaPifz5Wbm4vNmzcDAKZOnQobGxsA786wB94V0vdXtQ4YMABOTk7w8/PDq1evMGLECGzatAlNmzZVwndKCGGFeoDyUSEtB5oNI0S9SKVS/P333xAKhbh06VKZudDmzZuDz+d/MBdaHjt27EBWVhZcXV0xbNgw+eOurq4wMDBAXl4e3rx5A0dHxzKvd+zYMfj4+CAyMhLjxo2THz1KCNEOVEiVjwppOdAPIiHqITIyEgKBAGfPnq3QXGh5xMTE4NixYwCAuXPnlrmiamhoiHr16iEqKgoRERFlCikA1KpVC4cPH8a8efNw9epVzJ07FzExMZg6dSrd6iNEC9CFKeWjQloOVEgJYSc9PR1nz56FUCjEy5cv5Y9bWVmhb9++4PP5/zkXWh5r166FRCJBt27d0KlTpw8+7u7ujqioKERGRqJLly4ffNzc3BwbN25EUFAQDhw4gB07diA2NhYrV66EiYlJlbIRQtiiHqB8VEjLgX4QCVGtoqIi+VzorVu3ysyFdunSBQMHDkTnzp1hZGSkkNe7du0abty4AQMDg0+eGe3u7o7z589/ch8/4N1VlNmzZ8PFxQUrVqzAhQsXkJSUhE2bNsmP3yOEaB66Qqp8VEjLgX4QCVE+qVSKu3fvQiAQ4M8//0RhYaH8Y82aNZPPhZYuNFIUsViMtWvXAgBGjRqFunXrfvTzShc2vX+q06cMHToUzs7OmDlzJp49e4bhw4djy5YtaNy4seKCE0JUhi5MKR8V0nKgH0RClOdTc6G1a9eWz4XWqVNHaa9/7NgxxMXFwdbWFpMmTfrk55Vu/RQbGwuxWPyfq/bbtGmD4OBg+Pj4IDY2FmPHjsXq1avRo0cPheYnhCgf9QDlo0JaDvSDSIhipaen49y5cxAKhQgPD5c/bmlpKZ8Lbd68udIXBGVkZGDHjh0AAD8/P1haWn7yc2vWrAkLCwvk5+cjLi5OfsX039SpUwdHjhyBv78/bt68iRkzZsDPzw8TJkygxU6EaBDqAcpHhbQc6AeRkKorKirClStXcObMGdy+fRtSqRTA/+ZCS/cLVdRcaHls2bIFeXl5aNy4MQYNGvSvn8vj8eDm5oZHjx4hMjKyXIUUeLf4auvWrQgICMDx48exceNGxMbGYsmSJSr9XgkhlUc9QPmokJYD/SASUjkymazMXGhBQYH8Y02bNgWfz0ffvn0VPhdaHi9fvsTJkycBAPPnzy/XrLi7u7u8kFaEgYEBfvjhB7i6uiIgIABnzpxBQkICgoKCYGtrW6n8hBDVoR6gfFRIy4EWNRFSMVFRUfK50Ddv3sgfd3Jyks+FfmrxkCpwHIeAgABwHIe+ffuiZcuW5fq6909sqowRI0agbt26mDNnDh4+fAgvLy9s2bIFbm5ulXo+QohqUA9QPiqk5UC/GRHy39LT03H+/HkIBIIP5kL79OkDPp+PFi1aqMXs5KVLl3Dv3j0YGxtj1qxZ5f66qhZSAOjYsSOOHDkCHx8fJCQkYNSoUVi7di06d+5c6eckhCgX9QDlo0JaDvSbESEfVzoXWrpf6PtzoV9++SUGDhyILl26wNjYmHHS/ykuLsb69esBAOPHj0fNmjXL/bWlhTQ5ORl5eXn/ugjq37i6uiI4OBgzZszA/fv34ePjA39/f4wcOVItCjshpCzqAcpHhbQc6AeRkP+RyWS4d+8eBAIBLl269MFcqKenJ/r27Ytq1aoxTPlpBw8eRHJyMmrUqIFx48ZV6Gutra3h4OCAtLQ0REVFoUWLFpXOYWNjg927d2PFihX4448/EBAQgJiYGCxYsOA/t5QihKiWgQHVJWWjf8PlwOPxoK+vL7/6Q4guio6Ols+Fpqamyh93cnKCp6cnPD09Ua9ePXYBy+HNmzfYu3cvAGD27NkwNTWt8HM0aNAAaWlpiIyMrFIhBQBDQ0MsW7YMrq6u2LBhA3799VfEx8dj/fr1sLa2rtJzE0IUhwqp8tG/4XIyNDSkQkp0TkZGhnwu9MWLF/LHLS0t0bt3b/lcqKbMVwUFBaGoqAgtWrRA3759K/Uc7u7uuHHjRrlObCoPHo8Hb29v1K1bF/PmzcOdO3cwatQobNmyhenCL0LIO/r6+jRKowJUSMvJ0NAQxcXFrGMQonTFxcXyudCbN29+MBfK5/PRtWtXtZoLLY9Hjx5BKBSCx+Nh3rx5lX6DUcTCpo/x8PDA4cOH4ePjg7i4OHh5eWHDhg1o166dQl+HEFIxdHVUNejfcjnRTBfRZjKZDPfv35fPhebn58s/9sUXX8jnQjV1z0yZTIaAgAAAwODBg9GkSZNKP1fpEaKRkZHgOE6hV04aNmyIY8eOwc/PD0+ePMHkyZOxcOFCfPPNNwp7DUJIxdD7v2pQIS0n+g2JaKOYmBj5XGhKSor88Vq1asnnQl1cXBgmVAyBQIBnz57B3Nwc06dPr9Jzubi4QF9fH3l5eXjz5g0cHR0VlPIde3t77Nu3Dz/++CPOnTuH5cuXIyYmBnPmzKEFloQwQIVUNahllRMVUqItMjIyEBISAoFAgOfPn8sfL50L9fT0RMuWLTVmLvS/FBQUICgoCADw/fffw97evkrPZ2RkhHr16iE6OhoREREKL6QAYGxsjDVr1sDV1RVbtmzBkSNHEBcXh7Vr18LCwkLhr0cI+TR6/1cN+rdcTvQbEtFkxcXFCA0NhUAgQFhY2AdzoZ6enujWrZvGzYWWx549e5Ceng5nZ2eMHDlSIc/p7u6O6OhoREZGokuXLgp5zn/i8Xj4/vvvUa9ePSxatAg3btzA6NGjsXnzZtSuXVspr0kI+RC9/6sGFdJyot+QiKYpnQsVCoW4ePFimbnQzz//HJ6enujXr5/GzoWWR0JCAg4ePAgA8Pf3h5GRkUKet0GDBggJCVH4wqaP6dOnD2rXrg1fX19ERUXBy8sLGzdurPKWU4SQ8qH3f9Wgf8vlRD+QRFPExMRAKBTi7NmzSE5Olj9eq1YtDBgwAJ6ennB1dWWYUHXWr18PsViMDh06oFu3bgp7XmWttP+UJk2aIDg4GNOnT0d4eDgmTJiAZcuWgc/nq+T1CdFldIVUNahllRMVUqLOMjMzcf78eQiFQjx79kz+uIWFhXwutFWrVlozF1oet2/fxuXLl6Gvr4+5c+cqdDV8aSGNiYmBWCxWyRuWo6MjDhw4gB9++AF//vknFi5ciJiYGPj6+urU/6+EqBq9/6sG/VsuJzqtiaibkpISXLlyBUKhEGFhYZBIJADebeL8/lyoiYkJ46SqJ5FI5Ns8ffvtt3Bzc1Po89eqVQvm5uYoKCjA69evFf78n2JmZob169djy5Yt2L17N/bs2YPY2Fj89NNPMDMzU0kGQnQNFVLVoH/LFWBsbIzCwkLWMYgOk8lkePDgAYRCIS5cuFBmLrRJkybg8/no27cv7OzsGKZk7+TJk4iKioK1tTWmTp2q8Ofn8Xhwc3PD48ePERkZqbJCCgB6enqYPn06XFxcsGTJEly+fBne3t7YtGmTUlb8E6LLDAwM6JQmFaFCWgFUSAkrsbGx8v1C358LrVmzpny/UF2ZC/0vOTk52LJlCwBg2rRpSjsT3t3dHY8fP0ZERAT69eunlNf4N3w+H7Vr18aMGTMQHh4OLy8vbNq0CZ9//rnKsxCirbRx5xF1RYW0AhS1QpeQ8sjKypLPhT59+lT+uLm5ufwceV2bCy2P7du3Izs7G25ubko94UjVC5s+pkWLFggODoaPjw+ioqLg7e2NVatWoU+fPswyEaJNdHHkiRUqpBVAvykRZSspKUFoaCiEQiFu3LhRZi60U6dO4PP5OjsXWh7R0dE4fvw4AGDevHlKnf16/whRlpycnHD48GHMnTsX169fx5w5cxAbG4vvv/+ebjUSUkV0IUp1qJBWAP1gEmWQyWR4+PAhBAIBLl68iLy8PPnHPvvsM/D5fPTr10/n50L/C8dxCAwMhFQqRffu3dG+fXulvl7pFdLk5GTk5+czPUHJwsICmzdvxvr163H48GFs3boVMTExWL58Of3yQkgV0IUo1aFCWgFUSIkixcXFyedCk5KS5I87OjrC09MTfD6f5kIr4Nq1a7h58yYMDQ0xZ84cpb+etbU1HBwckJaWhqioKDRv3lzpr/lvSre3cnV1xapVq3D+/HkkJSVh48aNVT4ulRBdRe/7qkOFtAL09PRgaGgIsVjMOgrRUFlZWQgJCYFQKMSTJ0/kj5ubm6NXr17g8/lo3bo1zYVWkFgsRmBgIABg9OjRcHZ2Vsnruru7Iy0tDREREcwLaamvv/4aderUwcyZM/HkyROMGDECW7ZsQcOGDVlHI0Sj8Hg82hRfhaiQVpCxsTEVUlIhJSUluHr1KgQCwQdzoR07dpTPhZqamjJOqrmOHj2K+Ph42NvbY9KkSSp73QYNGiAsLIz5HOk/tW3bVr7YKS4uDqNHj0ZAQAA8PDxYRyNEYxgaGtIctgpRIa0gY2PjMns/EvIxHMfJ50IvXLhQZi60cePG8rlQupVadenp6dixYwcAwM/PD+bm5ip7bXVYaf8pdevWxZEjRzB79mzcuXMHfn5+mDlzJry9velNlpByoPlr1aJCWkE0T0L+zevXryEQCCAUCsvMhdaoUUM+F1q/fn2GCbXP5s2bUVBQgCZNmmDgwIEqfe3SQhoREQGO49Su6FlbW2P79u1Ys2YNfvnlF2zYsAExMTH48ccf6VYkIf+B3u9ViwppBdGKO/JP2dnZCAkJgUAgKDMXamZmhl69emHgwIE0F6okL168wB9//AEAmD9/vsr/Hbu6ukJfXx95eXl48+aNWp6UZGhoiEWLFsHV1RWBgYE4deoUEhIS8PPPP6NatWqs4xGituj9XrWokFYQ/cZEAEAkEsnnQq9fvy6fC9XT05PPhXp4eNBcqBJxHIeAgABwHIf+/fszWVRkZGSEevXqITo6GpGRkWpZSIF3izNGjhyJOnXqwN/fH/fv34eXlxe2bt1KOzkQ8glUSFWLCmkFlQ45cxzHOgpRMY7j8OjRIwgEAoSEhHwwF+rp6Yn+/fvTXKiKXLhwAQ8ePICpqSlmzpzJLIe7u7u8kHbu3JlZjvLo3Lkzjhw5Ah8fHyQmJmLUqFFYt24dOnbsyDoaIWqHCqlqUSGtIB6PB1NTUzrTXofEx8fL50ITExPlj9eoUQMDBgwAn8+Hm5sbw4S6p6ioCOvXrwcAjB8/numVSXd3d4SEhKjlwqaPcXNzQ3BwMGbOnIkHDx5g6tSpmDt3Lry8vFhHI0RtGBoaQl9fn3UMnUKFtBKokGq/7OxsXLhwAQKBAI8fP5Y/bmZmhp49e4LP56NNmzb0BxYjBw4cQGpqKmrWrAlvb2+mWdR5pf2n2NraYvfu3Vi2bBnOnDmD1atXIyYmBvPnz1fqcauEaAoat1I9+pOnEugHVTuJRCJcu3YNAoEA165dKzMX2qFDB/lcqJmZGeOkui01NRX79u0DAMyePZv51iylhTQmJgZisVhjVq8bGRlh5cqVqF+/PoKCgnDixAnEx8dj3bp1sLKyYh2PEKbofV71qJBWAv2gag+O4/D48WP5XGhubq78Y40aNZLPhVavXp1hSvK+DRs2oLi4GC1btkTv3r1Zx0GtWrVgZmaGwsJCvH79WqPGN3g8HsaPH4+6detiwYIFuHXrFkaNGoUtW7agTp06rOMRwgy9z6seFdJKMDIyooVNGi4hIUE+F5qQkCB/3MHBQT4XWnrli6iPBw8e4Pz58+DxeJg/f75a7Pupp6cHd3d3PH78GJGRkRpVSEv16NEDhw4dgo+PD2JjY+Hl5YWff/4Zbdq0YR2NECaokKoeFdJKoIVNmiknJwcXLlzAmTNnysyFmpqaolevXvD09ETbtm1pLlRNyWQyrFmzBgAwdOhQNG7cmHGi/3m/kPbr1491nEpp1KgRjh07Bj8/Pzx9+hSTJk3C4sWLMXToUNbRCFEpWtDEBhXSSqJCqhlEIhGuX78unwsVi8UA/jcX6unpie7du9NcqAY4ffo0wsPDYWFhAV9fX9ZxytDEhU0fU716dezbtw+LFy9GSEgIlixZgpiYGMycOZPeoInOoKujbFAhrST6gVVfpXOhQqEQISEhyMnJkX+sYcOG4PP5NBeqYfLz87Fx40YAwOTJk2FnZ8c4UVnaUkiBd+d3BwYGwsXFBdu3b8fBgwcRFxeHgIAAmJubs45HiNLR+zsbVEgriX5g1U9CQgKEQiGEQiHi4+Plj5fOhXp6eqJBgwYME5LK2rVrFzIyMlCvXj213C+z9OcqKSkJBQUFGl/ceDwepk6dChcXFyxevBhXr17F6NGjsWXLFtSqVYt1PEKUit7f2aBCWkm0sEk9lM6FCoVCPHz4UP64qampfL9QmgvVbK9fv8bhw4cBAP7+/mq5rZK1tTUcHByQlpaGyMhIJseYKkO/fv3g5OSE6dOnIzIyEiNGjMDGjRu15vsj5GOokLJBhbSSaGETO2KxGNeuXYNQKMTVq1fLzIW2b98enp6e6NGjB82Faol169ZBIpGgU6dOan00p7u7O9LS0hAREaFVha1p06Y4fvw4fHx88OrVK0yYMAHLli2Dp6cn62iEKBwtaGKHCmkVUCFVHY7j8OTJE/l+oe/PhTZo0EA+F+rg4MAwJVG0mzdvIjQ0FAYGBpg7d65abPP0Ke7u7ggLC9OKOdJ/cnR0xKFDhzB//nxcuXIFCxYsQGxsLKZNmwY9PT3W8QhRGLo6yg4V0iowNzdHRkYG6xharXQu9OzZs3j9+rX88erVq8vnQhs2bMgwIVEWiUSCwMBAAMDw4cPh6urKONG/K50j1cZCCrw7NjcoKAgbN27Evn37sGvXLsTGxmLVqlX0Jk60hqbPf2syKqRVQD+4ypGTk4OLFy9CKBTiwYMH8sdNTU3Ro0cP8Pl8tGvXjm6raLlffvkF0dHRsLGxweTJk1nH+U/vr7TnOE6tr+ZWlp6eHmbOnAkXFxcsW7YMly5dQnJyMjZt2kR3J4hWoPd1dqiQVoG+vj6MjY1RUlLCOorGE4vFuH79OoRCIUJDQ8vMhbZr1w58Pp/mQnVIdnY2tm7dCgDw9fWFtbU140T/zdXVFfr6+sjNzUVaWhpq1KjBOpLSDB48GM7OzpgxYwaeP3+OESNGYPPmzfjss89YRyOk0krf0wkbVEiryMLCggppJXEch6dPn8rnQrOzs+Ufc3d3x8CBA2kuVEdt3boVubm5aNCgAb766ivWccrFyMgIdevWRUxMDCIjI7W6kAJAq1atEBwcDF9fX0RHR2Ps2LFYvXo1evbsyToaIZVibm6ulXc2NAUV0iqiOdKKS0xMlM+FxsXFyR+3t7eXnyNPc6G6KzIyEr/88gsAYN68eRo1muHu7i4vpF9++SXrOErn7OyMw4cPw9/fH2FhYZg5cyamT5+O7777jt7Yicah2/VsUSGtIvoBLp/c3FxcvHgRAoHgg7nQ7t27y+dCDQzoR1KXcRyHgIAAyGQy9OrVC23btmUdqULc3d1x4cIFREREsI6iMpaWltiyZQvWrVuHo0ePYtOmTYiJicHSpUvp9ifRKPR+zha9+1eRvr4+TExMUFxczDqK2hGLxbhx4wYEAgGuXr0KkUgE4N0erqVzoT179qS5UCJ35coV3LlzB0ZGRpg1axbrOBWmTUeIVoSBgQHmz58PV1dX/PTTTxAKhUhMTERQUJDaHfNKyMfQ/Ch7VEgVwNzcnArp/+M4Ds+ePYNAIMD58+fLzIW6ubnJ9wt1dHRkF5KoJZFIhLVr1wIAxo4di9q1azNOVHGlWz/FxMRALBar5alSyjRs2DA4Oztj9uzZePToEby8vLB582Y6speoPZofZY/H0dmXVZaXl1dmj0xdlJSUJD9H/p9zof3795fPhdJ/8ORT9u7di6CgIFSvXh1CoVAjr5zLZDJ06NABhYWFOHXqFOrXr886EhOxsbHw8fFBfHw8zMzMsHbtWnTp0oV1LEI+qVatWrC1tWUdQ6fRFVIF0MQ3TkXIzc3FpUuXcObMmTJzoSYmJmX2C6W5UPJf3r59i127dgEAZs6cqbH/Tenp6cHNzQ1PnjxBZGSkzhZSFxcXHD16FLNmzcLdu3fh6+uL2bNnY/To0fRLKVFLND/KHjUFBdClOVKxWIywsDAIBAKEhoaWmQtt27atfC6U/uMmFbFp0yYUFhaiadOmGDBgAOs4VeLu7o4nT54gIiICffv2ZR2HGRsbG+zcuROrVq3CyZMnsXbtWsTExOCHH37QuVEGot709fVhZGTEOobOo0KqIBYWFlpbSDmOw/Pnz3HmzBmEhIQgKytL/jE3Nzd4enpiwIABNBdKKuXZs2c4deoUgHfbPGn62ei6urDpYwwNDbFkyRK4urpi/fr1OHnyJOLj4/Hzzz9rxGEHRDfQ/Kh6oEKqIBYWFkhPT2cdQ6GSk5MhFAohEAjKzIXa2dnJ50IbNWpE/yGTSuM4DmvWrAEA8Pl8NG3alHGiqtP2M+0risfjYcyYMahXrx7mzp2Lu3fvwsvLC1u2bIGLiwvreITA0tKSdQQCWtSkMBzHITw8HDKZjHWUKsnLy5PPhd6/f1/+uImJCTw8PDBw4EC0b9+e5kKJQpw9exbz58+HqakpBAKBVpxulJ2djc6dOwMAbt++TeMr74mMjISPjw+Sk5NhaWmJ9evXo0OHDqxjER3XqFEjek9TA1RIFSghIQE5OTmsY1SYWCzGzZs35XOhpUehls6Fenp6omfPnrCwsGCclGiTwsJC8Pl8pKWlYfr06Zg4cSLrSArTo0cPpKWl4fDhw2jevDnrOGolIyMDM2bMwKNHj6Cvr4+FCxdi2LBhrGMRHWVmZgZXV1fWMQjolr1CWVlZaUwh5TgOL168kO8XmpmZKf9Y/fr1wefzaS6UKNX+/fuRlpYGJycnjBkzhnUchXJ3d0daWhoiIyOpkP6DnZ0d9uzZg6VLl0IoFGLFihWIiYnBnDlz6CoVUTkrKyvWEcj/o//6FUgTriAmJyfj7NmzEAgEiI2NlT9ua2srnwtt3LgxzYUSpUpOTsb+/fsBALNnz9a6E1Lc3d0RFhZGc6SfYGxsjJ9++gmurq7YtGkTjh49iri4OKxdu5bm+YhK0c+b+qBCqkD6+vowNzdHQUEB6yhl5Ofny+dC7927J3/c2NhYfo58hw4d6OoEUZkNGzagpKQEbdq0Qc+ePVnHUThaaf/feDweJk6ciHr16mHhwoUICwvD6NGjsXnzZjg7O7OOR3SAoaGh1v0yrMmogSiYlZWVWhRSsViMW7duQSAQ4MqVK2XmQtu0aQNPT0/06tVLI67qEu1y7949XLhwAXp6epg3b55WXo1/v5ByHKeV36Oi9OrVC05OTvD19UV0dDRGjhyJn3/+Ga1atWIdjWg52npMvdCiJgUTiUSIiIhg8tr/Nhfq6uoKPp8PT09PmgslzEilUgwfPhwvX77EsGHDsHjxYtaRlKKkpATt2rWDVCrF5cuX4eDgwDqS2ktLS4Ovry9evHgBAwMDLFmyBIMHD2Ydi2gxFxcX2gVDjdAVUgUzMjKCkZGR/AQjVUhJSZHPhcbExMgfL50L9fT0xGeffUZXaQhzp06dwsuXL2FpaYlp06axjqM0xsbGqFOnDmJjYxEREUGFtBwcHBxw4MAB/PDDD7h06RIWL16MmJgYzJgxQ+MPSyDqR09PT2OPKNZWVEiVwNraGm/fvlXqa5TOhQoEAty7dw+lF7pL50I9PT3RoUMHOqKPqI28vDxs2rQJADBlyhTY2toyTqRcDRo0QGxsLCIjI/Hll1+yjqMRTE1NsW7dOmzduhW7du3C/v37ERcXhzVr1lB5IAplaWlJF2nUDBVSJbC0tFRKIZVIJLh58yaEQiH++usv+VwoALRp00Z+jjytGiTqaOfOncjMzISLiwuGDx/OOo7Subu748KFC7SwqYL09PTg6+sLV1dX/Pjjj7hy5QrGjBmDLVu20LgRURja7kn9UCFVAlNTU+jr60MqlVb5uUpPgBIIBDh37lyZuVAXFxcMHDgQAwYMQM2aNav8WoQoS2xsLI4ePQoAmDt3rk5cuaeV9lUzYMAAODk5wc/PD69evcKIESOwadMmfPHFF6yjES1AC3rVDxVSJeDxeLC2ti5THisqNTUVQqEQQqEQ0dHR8sdtbW3Rr18/8Pl8mgslGmPdunWQSCTo0qWLzty+Li2kMTExkEgktK1aJTRv3hzHjh2Dj48PIiMjMW7cOKxYsQL9+vVjHY1oMEtLS+jr67OOQf6BVtkrSWFhYZkFRuVROhcqFApx9+5d+VyokZFRmf1CdeHqEtEeN27cwJQpU2BgYIA//vgD9erVYx1JJWQyGdq3b4+ioiKcPn2ajiesgoKCAsybNw9Xr14F8G4GecqUKfQLOakUZ2dn2vJJDdGv7EpiamoKQ0NDiMXif/08iURSZr/Q4uJi+cdat24NPp+PXr160Vwo0UhisRiBgYEAAC8vL50po8C7WUh3d3c8efIEERERVEirwNzcHBs3bkRQUBAOHDiA7du3IzY2FitWrICJiQnreESD6Onp0fupmqJCqiQ8Hg/VqlVDWlraBx/jOA4vX77EmTNncP78eWRkZMg/5uLiIj9HvlatWqqMTIjCnThxArGxsbC1tcX333/POo7KvV9I+/btyzqORtPX18fs2bPh4uKCFStWICQkBElJSdi4cSOqV6/OOh7RENbW1rSNmJqiQqpE1tbWZQppamoqzp49C6FQiKioKPnj1apVk8+FNmnShG5DEa2QmZmJbdu2AQB8fX11clUrLWxSvKFDh8LZ2RkzZ87E06dPMWLECGzZsgWNGjViHY1oABsbG9YRyCdQIVUiY2NjSCQS+eKkv//+u8xcqIeHB/h8Pjp27EhzoUTrbN26FXl5eWjUqBGGDBnCOg4TDRo0AECFVNHatGmD4OBg+Pj4IDY2FmPGjMGaNWvQvXt31tGIGjMwMKD9bNUYLWpSsqZNm+Lp06fyf27VqpV8LlQXrxgR3fDq1SsMGzYMMpkM+/fvR+vWrVlHYiI7OxudO3cGANy+fZuOKVSw3NxczJkzB7du3QKPx4Ofnx/Gjx9Pd5nIR9nb29NetmqMBimU7Ouvv0a9evXg6+uLkJAQHDhwAF999RWVUaK1OI5DYGAgZDIZevfurbNlFHh3e7B0vvH9MR2iGFZWVti2bRu+/fZbcByHoKAgLFq0SKVHNxPNQbfr1RsVUiWbP38+/vrrL0yaNAlOTk6s4xCidJcvX8bff/8NY2NjzJo1i3Uc5miOVLkMDAywaNEiLFy4EPr6+jhz5gwmTpxYpX2gifYxNjamHRnUHBVSJTMyMkK1atVYxyBEJUpKSrBu3ToAgLe3N/0SBiqkqjJixAhs27YNlpaW+L/27js8yjLhGvh5pmRqMslMeu+RgAgIFvgW1sILqCguKyyhhY6EJhCKgKJYSKgREBQIoSMuoogdXJQmiIK4gpRQg9Q0COmZ+f7wzbxEARMymXvK+V1XLgiZcoCUM/dzlx9//BFJSUkclSYrjo46PhZSO/Dy8uKcJnILK1euxPnz5+Hv74/+/fuLjuMQqgvpsWPHBCdxfa1bt8bq1asRFhaG8+fPo3fv3ti5c6foWOQAWEgdHwupHchkMs4ZJZd3+fJlLFmyBAAwZswYrmb9XzePkHINacOLjo7G2rVrcf/996OoqAgpKSlYs2YN/+3dmFar5U42ToCF1E5MJpPoCEQNKiMjAyUlJbjvvvvwxBNPiI7jMGJiYiCTyVBYWIgrV66IjuMWvL29sWTJEjz77LMwm82YMWMGXnvttb88OY9cE3/+OgcWUjvRaDRQqVSiYxA1iEOHDmHz5s0Afl/Ixykq/0elUiEiIgIA55Hak1KpxCuvvIKxY8dCkiRs2LABzz//PAoLC0VHIzuSy+W8QukkWEjtRJIkvkojl2Q2m5GWlgYAeOaZZ9CkSRPBiRwPFzaJIUkSkpOTkZGRAY1Gg71796JXr144c+aM6GhkJ0ajkS+QnQQLqR0ZDAZ+YZDL+eSTT3Do0CFotVqMGjVKdByHxEIq1iOPPIJVq1YhMDAQp0+fRlJSEvbt2yc6FtmB0WgUHYFqye6FdNq0aWjWrJnLPE9dyOVybgFFLqW4uBhz584FAAwePNi6CTzVxEIqXkJCAtatW4emTZvi2rVrGDJkCP7973+LjkUNyNPTk4uZnMhdFdI9e/ZALpfjySefrPN9x40bh23btt3N07oEvlojV7J06VJcuXIFoaGh6N27t+g4Dqv6TPvs7GxUVlYKTuO+fH19kZmZiU6dOqGyshKvvPIK0tPTUVVVJToaNQBOk3Mud1VIly1bhhEjRuDbb7/Fb7/9Vqf76vV6t/4kUavV3A6HXEJOTg5WrFgB4PcXmh4eHoITOa6QkBBoNBqUl5fj7NmzouO4NZVKhbS0NKSkpAAAVq1ahZEjR6KoqEhwMrIlpVIJnU4nOgbVQZ0LaVFREd577z08//zzePLJJ5GVlWX92Pbt2yFJErZt24aWLVtCq9WidevWOHr0qPU2f7yUnpycjC5duuCNN95AQEAAvL298eqrr6KyshKpqakwGo0IDQ3F8uXLa+SYMGEC4uPjodVqER0djalTp95xS4/t27fjgQcegE6ng7e3N9q0aSNsYrs7F3JyHXPmzEF5eTkefPBBPProo6LjODSZTMYN8h2IJEkYOnQoZs6cCZVKhW+//Ra9e/fG+fPnRUcjGzGZTFyz4WTqXEg3bNiAe+65BwkJCejVqxcyMzP/tOHw5MmTMXv2bOzfvx8KheIvT2z5+uuv8dtvv+Hbb7/FnDlz8PLLL+Opp56Cj48P9u7di6FDh2LIkCHIycmx3sfT0xNZWVk4fPgwMjIysGTJEutctj+qrKxEly5d0K5dOxw6dAh79uzB4MGDhX2yenl5QS6XC3luIlvYt28fvvrqK8hkMkyYMIHf+GuB80gdT8eOHZGVlQU/Pz+cOHECSUlJOHDggOhYVE+SJHG9hhOqcyFdtmwZevXqBeD3L+bCwkJ88803NW7z+uuvo127dkhMTMTEiROxe/dulJaW3vYxjUYj3nrrLSQkJKB///5ISEhAcXExXnzxRcTFxWHSpEnw8PCocQTclClT0Lp1a0RGRqJz584YN24cNmzYcMvHv3btGgoLC/HUU08hJiYGjRo1Qt++fREeHl7Xv75NSJLEuaTktKqqqqzbPHXr1s1atOjOWEgdU5MmTbB27Vo0atQIeXl5GDBgAD7++GPRsageDAYDB32cUJ0K6dGjR7Fv3z706NEDAKBQKNC9e3csW7asxu2aNm1q/X1QUBCA348VvJ3GjRtDJvu/KAEBAbj33nut78vlcphMphqP8d5776FNmzYIDAyEXq/HlClTbjs3y2g0Ijk5GR06dEDnzp2RkZGBCxcu1OFvbnsspOSsNm7ciGPHjsHLy8s6D4/+Ggup4woMDERWVhYef/xxVFRU4MUXX0RGRgbMZrPoaHQXOC3OOdWpkC5btgyVlZUIDg6GQqGAQqHAokWLsHHjxhqnX9y8zUL1pbw7fWH/cVsGSZJu+WfVj7Fnzx707NkTTzzxBLZs2YIDBw5g8uTJKC8vv+1zLF++HHv27EHr1q3x3nvvIT4+Ht99913t//I2plQqeXoEOZ3CwkLMnz8fADBs2DB4e3uLDeREqgtpTk4OiouLBaehP9JqtZg9ezYGDRoE4PcdJMaOHcv/Kyej0Wig0WhEx6C7UOtCWllZiZUrV2L27Nk4ePCg9e2nn35CcHAw1q1b15A5a9i9ezciIiIwefJktGzZEnFxcbVaoNS8eXNMmjQJu3fvtl6mEYl7NpKzWbx4MQoKChATE4Nu3bqJjuNUfHx84OvrCwA4ceKE4DR0KzKZDCNHjsQbb7wBpVKJrVu3Ijk5GZcuXRIdjWqJP1edV60L6ZYtW5Cfn48BAwagSZMmNd66du36p8v2DSkuLg5nz57F+vXrkZ2djbfeegubNm267e1PnTqFSZMmYc+ePThz5gy+/PJLHD9+HI0aNbJb5lvRaDTcloKcxsmTJ7F+/XoAwPjx47nh9F3gSnvn0LlzZyxbtgxGoxFHjhxBjx498Msvv4iORX9BpVLB09NTdAy6S7UupMuWLcPjjz8Og8Hwp4917doV+/fvx6FDh2wa7naefvppvPDCCxg+fDiaNWuG3bt3Y+rUqbe9vVarxa+//oquXbsiPj4egwcPRkpKCoYMGWKXvHfi7+8vOgJRraSnp6OyshJ///vf0bp1a9FxnFL1BvmcR+r4mjdvjrVr1yI2NhZXrlxBcnIyvvzyS9Gx6A78/Py444cTkyx/3LOJ7MpiseDkyZMoKSkRHYXotr799lukpKRAoVDgww8/REREhOhITumjjz7ClClT0KpVK2RmZoqOQ7VQVFSE8ePHY8eOHQCA4cOHC902kG5NqVQiPj6e/y9OzO5n2VNNkiRxzgs5tIqKCsycORMA0Lt3b5bRerh5pT3HApyDXq/H/PnzrdsdLliwABMnTkRZWZngZHQzjo46PxZSB+Dp6QmVSiU6BtEtrV27FqdPn4bRaMTgwYNFx3Fq0dHRkMlkKCgowNWrV0XHoVqSy+WYMGECXnrpJSgUCnz66afo378//w8dhFwu544fLoCF1AFwlJQcVW5uLhYvXgwAGD16NPR6veBEzk2tVlsP5OA8Uufz3HPPYfHixfDy8sKhQ4eQlJRU42hsEsPX17fGXubknPg/6CAMBgNXLZPDmT9/PoqKipCYmIhnnnlGdByXwA3ynduDDz6INWvWIDIyEhcuXECfPn2wfft20bHclkwm40EzLoKF1EFwlJQcza+//ooPPvgAADBhwgSOQNgIt35yfpGRkVi9ejUefPBBFBcXY+TIkVixYgXnBQtgMpl4TKiL4E8YB+Lt7c0vLHIIFosFM2bMgMViQadOndCiRQvRkVwGt35yDQaDAYsWLUK3bt1gsVgwa9YsvPzyy6ioqBAdzW1IksRjQl0IC6kDkclkHCUlh/Dll1/ihx9+gFqtxgsvvCA6jkupLqTZ2dmorKwUnIbqQ6lUYsqUKZg4cSJkMhk2bdqEwYMHo6CgQHQ0t2A0GqFQKETHIBthIXUwRqORo6QkVGlpKWbPng0A6N+/P4KCggQnci0hISHQaDQoLy/H2bNnRcehepIkCT179sSCBQug0+mwf/9+JCUl4eTJk6KjuTROc3M9LKQORiaTISAgQHQMcmNZWVm4cOECAgMDkZycLDqOy5HJZIiNjQXAy/au5G9/+xtWr16NkJAQnDt3Dr169cLu3btFx3JZvr6+HB11MSykDsjHx4cr7kmIixcvWk8QGjNmDDQajeBErokr7V1TbGws1q5dixYtWuD69esYNmwY1q1bJzqWy5HJZPD19RUdg2yMhdQBSZKEwMBA0THIDc2bNw8lJSVo3rw5OnbsKDqOy2IhdV1GoxFLlizB008/jaqqKrzxxht4/fXXOV/Yhvz9/Tm1zQWxkDooLy8vqNVq0THIjRw8eBCffPIJJEnChAkTeAxfA+LWT67Nw8MDr732GkaPHg1JkrB+/XqkpKTg2rVroqM5PYVCwX1HXRQLqYPiKCnZk9lsxowZMwAAzz77LBo3biw4kWurLqQ5OTkoLi4WnIYagiRJGDBgAObOnQuNRoPdu3ejV69eOHfunOhoTi0gIIB7Irso/q86ML1eD51OJzoGuYHNmzfjl19+gU6nw4gRI0THcXlGo9E6B+7EiROC01BDeuyxx7BixQoEBATg1KlTSEpKwv79+0XHckoeHh48s96FsZA6OI6SUkO7ceMGMjIyAABDhgzhYgE74TxS99GoUSOsW7cO9957LwoKCjBo0CBs2rRJdCynExgYyKlELoyF1MFpNBp4eXmJjkEubMmSJbh69SrCw8PRs2dP0XHcBgupe/Hz80NmZiY6duyIyspKvPTSS5g9ezaqqqpER3MKGo0Gnp6eomNQA2IhdQLcl5Qayrlz57By5UoAQGpqKjw8PAQnch8spO5HrVYjPT0dzz//PIDf9/wdPXo0bty4ITiZ4+PoqOtjIXUCKpUKPj4+omOQC5o1axYqKirQunVrtGvXTnQct3JzIbVYLILTkL1IkoRhw4YhPT0dKpUK27dvR58+ffDbb7+JjuawuJ7CPbCQOgmuLCRb++677/D1119DLpdj/PjxHH2ws5iYGMhkMuTn5yM3N1d0HLKzTp06ITMzEyaTCceOHUOPHj3w008/iY7lkHh8sXtgw3ESCoWCl+7JZiorK5GWlgYA6N69O2JiYgQncj9qtRrh4eEAuB+pu2ratCnWr1+PhIQE5OXloX///vjkk09Ex3Iovr6+UKlUomOQHbCQOhGj0cgvTLKJf//73zhx4gQMBgOGDRsmOo7b4jxSCgwMxMqVK/HII4+gvLwcEydOxIIFC2A2m0VHE06hUMDf3190DLITFlInIkkSQkJCRMcgJ1dYWIgFCxYAAIYPHw6DwSA4kfviiU0EAFqtFvPmzUO/fv0AAO+88w5SU1NRUlIiOJlYQUFBnKrmRvg/7WS0Wi03BqZ6efvtt1FYWIjY2Fj885//FB3HrcXHxwPgCCkBMpkMY8aMwfTp06FQKPDll1+iX79+uHz5suhoQuh0Om556GZYSJ1QYGAgXzXSXTlx4gTee+89AMCECROgUCgEJ3Jv1SOkJ0+e5H6UBADo0qULli5dCm9vb/zyyy/o0aMHDh8+LDqW3QUHB3OhpZthq3FCXOBEd8NisSA9PR1VVVV49NFH8dBDD4mO5PZCQ0Oh0WhQVlaGs2fPio5DDuL+++/H2rVrERMTg8uXLyM5ORlbt24VHctuuJDJPbGQOikucKK6+uabb7Bnzx4olUqMGzdOdBzC75dpq3c44GV7ullYWBhWrVqFNm3aoKSkBC+88AKWLl3q8nvWKhQK+Pn5iY5BArCQOilJkhAcHCw6BjmJ8vJyzJw5EwDQp08fhIWFCU5E1biwiW7H09MTCxYssB7pm5GRgSlTpqC8vFxwsoYTFBQEuVwuOgYJwELqxHQ6HVdIU62sWbMGZ8+eha+vLwYNGiQ6Dt2EC5voThQKBSZOnIipU6dCLpdj8+bNGDhwIPLy8kRHszmtVsuFTG6MhdTJcVsM+itXr17FO++8AwAYPXo0j+BzMNyLlGqjW7duWLRoETw9PXHgwAEkJSW53OcMFzK5NzYZJ6dQKHisGt3R/PnzcePGDTRp0gSdO3cWHYf+oLqQ5uTkoLi4WHAacmQPP/ww1qxZg/DwcJw/fx69e/fGt99+KzqWTQQEBECtVouOQQKxkLoAb29v6PV60THIAf3yyy/YtGkTgN+3eeJouuMxGo0wmUywWCzIzs4WHYccXFRUFNasWYNWrVrhxo0bGDFiBFauXOnUi53UajV8fX1FxyDB+NPJBVSf4MSyQTezWCxIS0uDxWLBk08+iWbNmomORLfBy/ZUF97e3njnnXfQtWtXmM1mzJw5E6+88goqKipER7sroaGhvFRPLKSuQqlU8tI91fD555/jwIED0Gg0GD16tOg4dAcspFRXSqUSL7/8MlJTUyFJEjZu3IihQ4eisLBQdLQ64aV6qsZC6kJ46Z6qlZSUYPbs2QCAAQMGIDAwUHAiuhNu/UR3Q5Ik9OnTBwsWLIBWq8W+ffvQs2dPnD59WnS0WuGleroZC6kL4aV7qpaVlYVLly4hODgYffv2FR2H/sLNWz8581xAEqNt27ZYtWoVgoODcebMGSQlJeG7774THesv8VI93YzNxcUolUpumO/mLly4gMzMTADAmDFjeDnMCcTExEAmkyE/Px+5ubmi45ATio+Px9q1a9GsWTNcv34dQ4cOxYYNG0THui1eqqc/YiF1QQaDgZfu3djcuXNRWlqK+++/H//zP/8jOg7VglqtRnh4OABetqe7ZzKZsHTpUjz11FOoqqrC9OnTkZaWhsrKStHRauCleroVFlIXxEv37uuHH37AZ599BkmSMHHiRF4OcyJc2ES2oFKp8MYbb2DkyJEAgNWrV2PEiBG4fv264GT/h5fq6VbYWFwUL927n6qqKqSlpQEAunbtinvuuUdwIqoLFlKyFUmSMGjQIMyZMwdqtRo7d+5E7969kZOTIzoaL9XTbbGQujCDwcBzgd3IRx99hCNHjkCv12P48OGi41AdsZCSrbVv3x4rVqyAv78/srOzkZSUhB9//FFYHq1Wy0v1dFsspC6s+tK9UqkUHYUaWFFRETIyMgAAQ4cOhclkEpyI6qq6kGZnZ6OqqkpwGnIViYmJWLduHRITE5Gfn4+BAwdi8+bNds8hk8kQFhbGS/V0WyykLk4ul1sXS5Drevfdd5GXl4fIyEgkJSWJjkN3ITQ0FGq1GmVlZTh79qzoOORC/P39kZWVhfbt26OiogKTJ0/GvHnzYDab7ZYhLCyMgyN0RyykbkCj0XBjdBd25swZrFq1CgCQmprKb/pOSi6XIzY2FgAv25PtaTQazJo1C4MHDwYALFu2DC+88AKKi4sb/LlNJhM8PT0b/HnIubGQugmTycStoFzUrFmzUFlZif/3//4f2rZtKzoO1QPnkVJDkslkGDFiBN588014eHjg66+/Rt++fXHx4sUGe061Wo2AgIAGe3xyHSykbkKSJISGhkKhUIiOQja0e/dubN++HQqFAqmpqaLjUD2xkJI9PPXUU1i2bBmMRiN+/fVX9OjRAz///LPNn0cmkyE8PJxbEFKt8LPEjSgUCoSFhYmOQTZSUVGB9PR0AMC//vUvREdHC05E9cVCSvbSrFkzrFu3DnFxcbh69Sr69euHzz//3KbPERISAg8PD5s+JrkuFlI3o9Pp4O/vLzoG2cCGDRuQnZ0NHx8fDB06VHQcsoHqQnru3Dm7zO0j9xYcHIxVq1ahXbt2KCsrQ2pqKhYtWgSLxVLvx/bx8YHBYLBBSnIXLKRuyM/PDzqdTnQMqof8/HwsXLgQADB8+HB+43cRJpMJRqMRFosFJ0+eFB2H3IBOp0NGRgaSk5MBAG+//TYmTJiA0tLSu35MlUqFoKAgGyUkd8FC6oaq55PK5XLRUeguLVy4ENevX0d8fDy6du0qOg7ZUPUoKc+0J3uRy+UYO3YsXnnlFSgUCnz22WcYMGAArl69WufHkiSJ80bprvAzxk0plUrOJ3VSx44dw/vvvw8AmDhxIl9YuJj4+HgAnEdK9vePf/wD7777LgwGAw4dOoQePXrg6NGjdXqMkJAQqFSqBkpIroyF1I3p9XpeVnEyFosF6enpMJvNaN++PVq1aiU6EtkYFzaRSK1atcLatWsRFRWFixcvonfv3vjPf/5Tq/v6+fnB29u7YQOSy2IhdXMmkwk+Pj6iY1Atff3119i7dy88PDwwZswY0XGoAXCElEQLDw/H6tWr8fDDD6OkpASjRo1CZmbmHRc76fV6LpilemEhJQQFBUGr1YqOQX+hrKwMs2bNAgD07dsXoaGhghNRQ4iOjoYkScjLy7urOXxEtuDl5YW3334b3bt3h8Viwdy5c/HSSy+hoqLiT7f18PDgOfVUbyykZN28mJvmO7ZVq1YhJycH/v7+GDhwoOg41EA0Gg3Cw8MBcJSUxFIoFJgyZQpefPFFyOVyfPjhhxg4cCDy8/Ott5HJZIiIiOBcdqo3FlIC8Ps3nsjISL7CdVBXrlzBu+++CwAYPXo0R7RdHOeRkiPp0aMH3n77bej1evz4449ISkpCdnY2gN8v73MRE9kCCylZqdVqXgZ2UBkZGSgpKUHTpk3x5JNPio5DDYxbP5Gjad26NdasWYPQ0FDk5OSgV69eOH78OPR6veho5CJYSKkGg8HAiekO5r///S8++ugjAMCECRO4v58b4MImckTR0dFYu3Yt7r//fkiShISEBNGRyIVw0iD9iZ+fH0pLS3Ht2jXRUdyexWLBm2++CQB4+umn0bRpU8GJyB6qR0izs7NRVVXF+XnkMHx8fLBq1SqUlpYiMTFRdBxyIRxqoT+pPsmJ84LE++STT3Do0CFoNBqMGjVKdByyk9DQUKjVapSVleHcuXOi4xBZKRQKxMXFoXnz5qKjkIthIaVbkslkiIyM5Mp7gYqLizF37lwAwKBBgziVwo3I5XLExMQA4GV7chz8uUANiYWUbkupVCIyMpJzFgXJzMzE5cuXERISgj59+oiOQ3bGlfbkSCRJQkREBNRqtego5KLYNOiO1Go1t4MS4Pz588jKygIAjBs3jtMn3BALKTmSsLAw6HQ60THIhbGQ0l/SarXWjbrJPubMmYOysjI88MADeOyxx0THIQG49RM5iuDgYHh5eYmOQS6OhZRqxdPTEyEhIaJjuIXvv/8eX375JWQyGcaPH8/RaTdVvfXTuXPnUFxcLDgNuSt/f38YjUbRMcgNsJBSrfn4+CAgIEB0DJdWVVWFtLQ0AMA///lP7vPnxkwmE4xGIywWC06ePCk6Drkho9EIPz8/0THITbCQUp34+vrCZDKJjuGyNm3ahKNHj8LT0xMpKSmi45BgnEdKonh5eSEoKIhXaMhuWEipTiRJQmBgIAwGg+goLufatWuYP38+AGDYsGG8TEacR0pCaLVahIaGsoySXbGQUp1JkoSQkBCuuLSxd955B3l5eYiKikL37t1FxyEHwCNEyd5UKhUiIiK43R/ZHT/j6K7IZDKEh4dzTzobOXXqFNauXQvg9/PqlUql4ETkCHjJnuypeu9pHlVLIrCQ0l2Ty+WIiopiKbWBmTNnorKyEm3btkWbNm1ExyEHERMTA0mSkJeXh6tXr4qOQy5MqVQiOjqaL4ZJGBZSqpfqUsqN2+/ejh07sGPHDigUCqSmpoqOQw5Eo9EgLCwMAEdJqeEolUpERUWxjJJQLKRUbyyld6+iogLp6ekAgJ49eyIyMlJsIHI4nEdKDUmhUCAqKgoeHh6io5CbYyElm6j+psZSWjfr16/H6dOnYTQaMWTIENFxyAFxHik1FIVCgejoaJZRcggspGQzLKV1k5eXh0WLFgEARo4cCU9PT8GJyBGxkFJDcNQyeuXKFTz//PMIDw+HSqVCYGAgOnTogF27domORg1MIToAuZbqUnrq1CmUlZWJjuPQFixYgOvXr+Oee+5Bly5dRMchB1VdSLOzs1FVVcUV0FRvjlpGAaBr164oLy/HihUrEB0djUuXLmHbtm3Izc0VHY0aGEdIyeY4UvrXjh49io0bNwL4fZsnlgy6nbCwMKjVapSWliInJ0d0HHJy1avpHbGMFhQUYMeOHUhLS8MjjzyCiIgIPPDAA5g0aRKefvppnD59GpIk4eDBgzXuI0kStm/fDgDYvn07JEnCtm3b0LJlS2i1WrRu3RpHjx4V85eiWmMhpQZR/QqcW0L9mcViQVpaGsxmMzp06ICWLVuKjkQOTC6XIzo6GgAv21P9OHIZBQC9Xg+9Xo8PP/yw3lfYJk+ejNmzZ2P//v1QKBTo37+/jVJSQ2EhpQZTvfpeo9GIjuJQtm7diu+//x4qlQpjxowRHYecAI8Qpfry8PBw+H1GFQoFsrKysGLFCnh7e6NNmzZ48cUXcejQoTo/1uuvv4527dohMTEREydOxO7du1FaWtoAqclWWEipQVWXUr1eLzqKQygtLcXs2bMBAP369UNwcLDgROQMuPUT1YdGo3H4Mlqta9eu+O2337B582Z07NgR27dvR4sWLZCVlVWnx2natKn190FBQQCAy5cv2zIq2RgLKTU4mUyGiIgIeHt7i44i3MqVK3H+/Hn4+/ujX79+ouOQk+BKe7pber0eUVFRUCicZw2zWq1G+/btMXXqVOzevRvJycl4+eWXIZP9XlksFov1thUVFbd8jJvLtyRJAACz2dyAqam+WEjJLiRJQkhICPz8/ERHEebSpUtYunQpAGDMmDHQarWCE5GzqC6kZ8+eRUlJieA05Cy8vb0RERFhLXLOKjExETdu3LD+/Lhw4YL1YzcvcCLn5jwvmcjpSZKEgIAAKBSKGt9Q3EVGRgZKSkrQrFkzPPHEE6LjkBPx9fWF0WhEXl4eTp48icaNG4uORA7Oz88P/v7+1tFBZ5Cbm4vnnnsO/fv3R9OmTeHp6Yn9+/cjPT0dzzzzDDQaDR566CHMmDEDUVFRuHz5MqZMmSI6NtmIc79sIqdkMpms53O7i59++gkff/wxAGDixIlO9UOCHAMXNlFtBQUFISAgwOm+z+j1ejz44IOYO3cu2rZtiyZNmmDq1KkYNGgQFixYAADIzMxEZWUl7r//fowePRqvvfaa4NRkK5Ll5skYRHZUVFSEM2fOwNU/Bc1mM3r16oWff/4ZXbp0wfTp00VHIieUlpaG1atXo3fv3hg/frzoOOSgwsLCYDAYRMcgqjOOkJIwer0e0dHRLr8p/JYtW/Dzzz9Dq9Vi1KhRouOQk+IIKd2JJEmIjIxkGSWnxUJKQjnTdiR3o7i4GPPmzQMADB48GL6+vmIDkdPi1k90O9WHJ3B7PXJmLKQknEqlQkxMjEuuOl+6dCmuXLmCsLAw9O7dW3QccmIxMTGQJAl5eXk815usqr9/8gAScnYspOQQFAoFIiMj4ePjIzqKzZw7dw4rVqwAAIwbN85hj+sj56DRaKyLATlKSgDg6enp0EeBEtUFCyk5DJlMhpCQEOupGs5uzpw5KC8vx0MPPYRHHnlEdBxyAdwgn6r5+fkhPDzc5efgk/tgISWHYzKZEBkZ6dSbOe/btw9bt26FTCbD+PHjnW77FXJMLKQkSRLCwsKcclsnojtx3p/45NL0ej1iY2OhUqlER6mzyspKpKWlAQC6detmLRFE9cVC6t4UCgWio6O5kp5cEgspOSwPDw9ER0fD09NTdJQ6+eCDD3Ds2DF4eXkhJSVFdBxyIdWF9MSJE6iqqhKchuxJo9EgNjaWi5fIZbGQkkOTy+UIDw+3nmHs6AoLCzF//nwAQEpKCry9vcUGIpcSHh4OlUqF0tJS5OTkiI5DduLj44OoqCgoFDztm1wXCyk5PEmSEBAQgLCwMIefM7V48WIUFBQgNjYW3bp1Ex2HXIxcLkdMTAwAXrZ3F0FBQQgODnbqOfVEtcHPcHIaBoMBMTExDrvFycmTJ7Fu3ToAQGpqKkczqEFwHql7UCgUiIqKgslkcvgX4kS2wEJKTkWtViM2NtbhLoVbLBakp6ejqqoKf//739G6dWvRkchFsZC6vupFnTqdTnQUIrvhEA45HZlMhtDQUOh0Ovz222+wWCyiI2HHjh3YtWsXFAoFUlNTRcchF8ZC6toCAwM5KkpuiYWUnJaPjw+0Wi3Onj2LsrIyYTkqKiqQnp4OAOjduzfCw8OFZSHXV32m/dmzZ1FaWgq1Wi04EdmCUqlEWFiYSx6hTFQbvGRPTq36HGeRR46uXbsWZ86cgclkwuDBg4XlIPdgMpng4+MDs9mM7Oxs0XHIBry8vBAbG8sySm6NhZScXvWRo2FhYXZfiZqbm4vFixcDAEaNGgW9Xm/X5yf3I0mSdZT02LFjgtNQfUiShODgYISFhfEIUHJ7LKTkMgwGA2JjY+16CXP+/PkoKipCYmIinnnmGbs9L7k3ziN1fh4eHoiJiYHRaOR8USKwkJKLqf4m7+vr2+DPdeTIEXzwwQcAgIkTJ3KfQLIbFlLn5u3tbfcXz0SOjouayOVIkoTAwEB4eXnh3LlzqKiosPlzWCwWzJgxAxaLBZ06dULz5s1t/hxEt8NC6pwUCgVCQkKc7jhkInvgkA65LK1Wi7i4uAYZLf3iiy/w448/Qq1WY8yYMTZ/fKI7iYmJgSRJyM3NRV5enug4VAve3t6Ii4tjGSW6DRZScmkymQyBgYGIjo6GUqm0yWOWlJRgzpw5AID+/fsjMDDQJo9LVFtarRahoaEAOErq6BQKBSIiIhAaGsqFS0R3wEJKbsGWo6VZWVm4cOECAgMDkZycXP9wRHeBl+0dH0dFiWqPhZTchi1GSy9evIjMzEwAwNixY6HRaGwZkajWqgspt35yPBwVJao7FlJyO/UZLZ07dy5KS0vRokULdOjQoQHSEdVO9V6kHCF1LBwVJbo7XGVPbql6tNTLyws5OTkoLy//y/scOHAAn376KSRJwoQJE7h3IAlVPUKanZ0Ns9nMbccE4wp6ovrhdzBya9WjpYGBgXcsmGazGTNmzAAAPPvss0hMTLRXRKJbCg8Ph0qlQklJCXJyckTHcWt+fn6Ij49nGSWqBxZScnuSJMHX1xfx8fEwGAy3vM1HH32Ew4cPQ6fTYcSIEXZOSPRncrkc0dHRAHjZXhS9Xo+4uDgEBARwhJqonvgVRPS/lEolwsLCEBUVBZVKZf3zoqIiZGRkAACGDh1ql1OgiGqDC5vEUCgUCA8PR0RERI3vFUR09ziHlOgPdDodYmNjkZubi0uXLmHJkiXIzc1FREQEevbsKToekRUXNtmfn58f/Pz8OCJKZGMspES3UH0ZXy6XY+PGjQCA1NRUm22uT2QL3IvUfvR6PYKDg+Hh4SE6CpFLYiElugMfHx/897//RVZWFtq3b1+r1fhE9lI9Qnr27FmUlpZCrVYLTuR6lEolgoKC4OXlJToKkUuTLBaLRXQIImdgsVhQUFCAS5cuobKyUnQcIlgsFrRr1w75+flYv349GjduLDqSy5DJZPD394fRaOTleSI74FcZUS1JkgQfHx/Ex8cjMDCQP6RIOEmSeNnexiRJgp+fHxISEuDr68uvcyI74VcaUR3JZDL4+voiISEBfn5+3CCfhGIhtR2j0YiEhAQEBATwyE8iO+McUqK7JJfLERAQAKPRiMuXLyM/P190JHJDLKT1ZzAY4O/vzy2ciARiISWqJ6VSiZCQEPj6+uLSpUu4du2a6EjkRlhI755Op0NgYCA0Go3oKERuj4WUyEZUKhXCw8NRUlKCixcv4saNG6IjkRuIjY0FAFy9ehV5eXkwGo2CEzk+tVqNwMBA6PV60VGI6H9xDimRjWk0GkRFRSE6Opo/8KjBabVahIWFAeAo6V/RarWIiIhATEwMvzaJHAwLKVED0Wq1iIyMRGxsLAwGg+g45MJ42f7O9Ho9oqOjER0dDU9PTy5EJHJALKREDUytViMsLAzx8fG8nEoNgoX01gwGA2JjYxEZGQmtVis6DhHdAeeQEtmJh4cHgoOD4efnh9zcXOTm5oLnUpAtsJDWZDQa4evry2M+iZwICymRnSmVSgQGBtYoplVVVaJjkROrLqQnTpyA2Wx2y83cJUmCyWSCr68vFAr+aCNyNvyqJRJELpfD398fvr6+KCgoQG5uLsrKykTHIicUHh4ODw8PlJSU4Pz589ZFTu5AqVTCZDLBx8eHm9kTOTEWUiLBZDIZjEYjfHx8UFxcjLy8PBQWFoqORU5EoVAgJiYGR44cwbFjx9yikOr1ephMJuj1ei5SInIB7nddh8hBSZIEnU6HsLAwJCQkwN/fn5ceqdaqL9sfO3ZMcJKGU31sb3x8PCIjI7linsiF8KcdkQNSKpXw9/eHn58frl+/jtzcXG60T3cUHx8PwDUXNmk0GphMJnh5ebnl/Fgid8BCSuTAJEmCl5cXvLy8UFZWhry8POTn58NsNouORg7G1VbaS5IEb29vGI1GHu1J5AZYSImchEqlQlBQEAICAnDt2jUUFBSgqKhIdCxyENWF9OzZsygtLYVarRac6O5otVr4+PjAy8uLi5SI3AgLKZGTkclk8Pb2hre3NyorK1FYWIiCggKUlJSIjkYC+fr6wtvbGwUFBTh58iQSExNFR6o1lUpl/ZxWKpWi4xCRACykRE5MoVDAZDLBZDKhrKwMhYWFyM/PR0VFhehoZGeSJCEuLg7ff/89jh8/7vCFVKFQWEuos47mEpHtsJASuQiVSmVdCFVSUmItp5xv6j5uLqSOSCaTwWAwwNvbG1qtlivkiciKhZTIxUiSBK1WC61Wi8DAQBQVFeHatWu4du0aT4RycY649ZNMJoOnpye8vLzg6enJVfJEdEsspCRccnIyCgoK8OGHH4qO4nIkSYKnpyc8PT0RHByMkpISXL9+HdeuXeOpUC7IUbZ+UiqVMBgM8PT05EgoEdUKX6rSbSUnJ0OSJEiSBA8PD8TGxuLVV19FZWWl6Gh0F6pHTgMCAhAXF4f4+HgEBQVBp9OJjkY2EhsbCwC4evUq8vPz7frcGo3G+rmVkJCAwMBA6HQ6llEiqhWOkNIddezYEcuXL0dZWRk+/fRTpKSkQKlUYtKkSTVuV15eDg8PD0Ep6W54eHhYF0RVVVVZL+1fv36d806dlFarRWhoKHJycnD8+HE88MADDfZcN4++e3p68lQxIqoXjpDSHalUKgQGBiIiIgLPP/88Hn/8cWzevBnJycno0qULXn/9dQQHByMhIQEA8PPPP+PRRx+1nqwyePDgGntlVlVVYcyYMfD29obJZML48eNhsVhqPGdkZCTmzZtX48+aNWuGadOmWd8vKCjAkCFDEBAQALVajSZNmmDLli3Wj+/cuRN/+9vfoNFoEBYWhpEjR/KkozuQy+UwGAwICwtDo0aNEB0djYCAAJ4T7oQaaoP86qNt/f39ERUVhUaNGiE8PBw+Pj4so0RUbyykVCcajQbl5eUAgG3btuHo0aP46quvsGXLFty4cQMdOnSAj48Pvv/+e7z//vvYunUrhg8fbr3/7NmzkZWVhczMTOzcuRN5eXnYtGlTnTKYzWZ06tQJu3btwurVq3H48GHMmDHDuol2dnY2OnbsiK5du+LQoUN47733sHPnzho56PaqL+37+fkhMjISiYmJ1oLKS7COz5aFVKvV1iigUVFR8Pf3h06n4+IkIrIpvqylWrFYLNi2bRu++OILjBgxAleuXIFOp8PSpUutl+qXLFmC0tJSrFy50jovccGCBejcuTPS0tIQEBCAefPmYdKkSfjHP/4BAFi8eDG++OKLOmXZunUr9u3bhyNHjlgXcURHR1s//uabb6Jnz54YPXo0gN9/QL/11lto164dFi1axD0P6+jmVft+fn6wWCwoKSnBjRs3UFRUhOLi4j+NcpM49SmkWq0Wer0eOp0OGo2GpZOI7IaFlO5oy5Yt0Ov1qKiogNlsRlJSEqZNm4aUlBTce++9NeaNHjlyBPfdd1+NRTJt2rSB2WzG0aNHoVarceHCBTz44IPWjysUCrRs2bJOhebgwYMIDQ21ltE/+umnn3Do0CGsWbPG+mcWiwVmsxmnTp1Co0aN6vJPQH9wq4JaWlqKkpIS61tpaanomG7r5pX2ZrP5tqVSpVJBo9FY39RqNQsoEQnDQkp39Mgjj2DRokXw8PBAcHBwjbliDbU6WyaT/amg3nzykEajueP9i4qKMGTIEIwcOfJPHwsPD7dNSLKSJMlaaqqZzWaUlZWxpAoQHh4ODw8PlJSU4Pz58wgLC2P5JCKHx0JKd6TT6axbyfyVRo0aISsrCzdu3LCW1V27dkEmkyEhIQEGgwFBQUHYu3cv2rZtCwCorKzEDz/8gBYtWlgfx8/PDxcuXLC+f+3aNZw6dcr6ftOmTZGTk4Njx47dcpS0RYsWOHz4cK1zk+3JZLI7ltTS0lKUlZWhrKyM24jZkFwuh1arRatWrVBVVQWj0YjExESWTyJyeCykZDM9e/bEyy+/jL59+2LatGm4cuUKRowYgd69eyMgIAAAMGrUKMyYMQNxcXG45557MGfOHBQUFNR4nEcffRRZWVno3LkzvL298dJLL1kXLAFAu3bt0LZtW3Tt2hVz5sxBbGwsfv31V0iShI4dO2LChAl46KGHMHz4cAwcOBA6nQ6HDx/GV199hQULFtjzn4RucquSCvxeVMvLy60Ftby8HKWlpSgvL+f2U7cgSRJUKpX1zcPDw/pr9dfJzp07BackIqobFlKyGa1Wiy+++AKjRo1Cq1atoNVqraWx2tixY3HhwgX07dsXMpkM/fv3x7PPPovCwkLrbSZNmoRTp07hqaeegsFgwPTp02uMkALAxo0bMW7cOPTo0QM3btxAbGwsZsyYAeD3EdRvvvkGkydPxt/+9jdYLBbExMSge/fu9vmHoDqRyWRQq9W3XGxWWVlpLasVFRWorKxERUWF9c0Vj0KVy+VQKBRQKpVQKpXW31cXULlczp0OiMjlSBYujyUiJ2WxWFBVVWUtq9WFtfr3VVVVqKqqgtlsrvFmLzKZrMabXC6HTCazlsybf61+Y9kkInfEQkpEbuePBdVsNqOqqsq6mO7mb4t//BZZXRhv/vXmsln9Vn3sLhER/TUWUiIiIiISiksviYiIiEgoFlIiIiIiEoqFlIiIiIiEYiElIiIiIqFYSImIiIhIKBZSIiIiIhKKhZSIiIiIhGIhJSIiIiKhWEiJiIiISCgWUiIiIiISioWUiIiIiIRiISUiIiIioVhIiYiIiEgoFlIiIiIiEoqFlIiIiIiEYiElIiIiIqFYSImIiIhIKBZSIiIiIhKKhZSIiIiIhGIhJSKiGiRJwocffnjbj2/fvh2SJKGgoMBume7kr/LW9TFOnz4NSZJw8ODBemcjotphISUicjMXL17EiBEjEB0dDZVKhbCwMHTu3Bnbtm0THY2I3JRCdAAiIrKf06dPo02bNvD29sbMmTNx7733oqKiAl988QVSUlLw66+/2iVHeXk5PDw87PJcROT4OEJKRORGhg0bBkmSsG/fPnTt2hXx8fFo3LgxxowZg++++856u6tXr+LZZ5+FVqtFXFwcNm/efMfH3bhxIxo3bgyVSoXIyEjMnj27xscjIyMxffp09OnTB15eXhg8eHCd7tejRw/odDqEhIRg4cKFf3r+2+W1WCyIjY3FrFmzatz+4MGDkCQJJ06cqP0/HhE1GBZSIiI3kZeXh88//xwpKSnQ6XR/+ri3t7f196+88gq6deuGQ4cO4YknnkDPnj2Rl5d3y8f94Ycf0K1bN/zrX//Czz//jGnTpmHq1KnIysqqcbtZs2bhvvvuw4EDBzB16tRa32/mzJnW+02cOBGjRo3CV199VeM2t8srSRL69++P5cuX17j98uXL0bZtW8TGxtb+H5CIGo6FiIjcwt69ey0ALB988MEdbwfAMmXKFOv7RUVFFgCWzz77zGKxWCz/+c9/LAAs+fn5FovFYklKSrK0b9++xmOkpqZaEhMTre9HRERYunTpUuM2tb1fx44da9yme/fulk6dOtU67/nz5y1yudyyd+9ei8VisZSXl1t8fX0tWVlZNR5j06ZNFovFYjl16pQFgOXAgQO3/0ciIpviCCkRkZuwWCy1vm3Tpk2tv9fpdPDy8sLly5dvedsjR46gTZs2Nf6sTZs2OH78OKqqqqx/1rJly7u638MPP1zjNg8//DCOHDlS67zBwcF48sknkZmZCQD4+OOPUVZWhueee+7Wf3kisjsWUiIiNxEXFwdJkmq1cEmpVNZ4X5IkmM3mej3/raYJ2Mpf5R04cCDWr1+PkpISLF++HN27d4dWq22wPERUNyykRERuwmg0okOHDli4cCFu3Ljxp4/f7b6ijRo1wq5du2r82a5duxAfHw+5XF7v+9282Kr6/UaNGtUp4xNPPAGdTodFixbh888/R//+/et0fyJqWCykRERuZOHChaiqqsIDDzyAjRs34vjx4zhy5AjeeuutP10ar62xY8di27ZtmD59Oo4dO4YVK1ZgwYIFGDdunE3ut2vXLqSnp+PYsWNYuHAh3n//fYwaNapOGeVyOZKTkzFp0iTExcXd9d+ViBoGCykRkRuJjo7Gjz/+iEceeQRjx45FkyZN0L59e2zbtg2LFi26q8ds0aIFNmzYgPXr16NJkyZ46aWX8OqrryI5Odkm9xs7diz279+P5s2b47XXXsOcOXPQoUOHOuccMGAAysvL0a9fvzrfl4galmSpyyx3IiIiO4qMjMTo0aMxevToej/Wjh078Nhjj+HcuXMICAiofzgishme1ERERC6trKwMV65cwbRp0/Dcc8+xjBI5IF6yJyIil7Zu3TpERESgoKAA6enpouMQ0S3wkj0RERERCcURUiIiIiISioWUiIiIiIRiISUiIiIioVhIiYiIiEgoFlIiIiIiEoqFlIiIiIiEYiElIiIiIqFYSImIiIhIKBZSIiIiIhKKhZSIiIiIhGIhJSIiIiKhWEiJiIiISCgWUiIiIiISioWUiIiIiIRiISUiIiIioVhIiYiIiEgoFlIiIiIiEoqFlIiIiIiEYiElIiIiIqFYSImIiIhIKBZSIiIiIhKKhZSIiIiIhGIhJSIiIiKhWEiJiIiISCgWUiIiIiIS6v8Dc8I6ppbqgE4AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Clock settings; f(t) random disturbances making \"paradise lost\"\n",
    "clock_face_radius = 1.0\n",
    "number_of_ticks = 9\n",
    "tick_labels = [\n",
    "    \"Sun\", \"Chlorophyll\", \"Produce\", \"Animals\",\n",
    "    \"Wood\", \"Coal\", \"Hydrocarbons\", \"Renewable\", \"Nuclear\"\n",
    "]\n",
    "\n",
    "# Calculate the angles for each tick (in radians)\n",
    "angles = np.linspace(0, 2 * np.pi, number_of_ticks, endpoint=False)\n",
    "# Inverting the order to make it counterclockwise\n",
    "angles = angles[::-1]\n",
    "\n",
    "# Create figure and axis\n",
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "ax.set_xlim(-1.2, 1.2)\n",
    "ax.set_ylim(-1.2, 1.2)\n",
    "ax.set_aspect('equal')\n",
    "\n",
    "# Draw the clock face\n",
    "clock_face = plt.Circle((0, 0), clock_face_radius, color='lightgrey', fill=True)\n",
    "ax.add_patch(clock_face)\n",
    "\n",
    "# Draw the ticks and labels\n",
    "for angle, label in zip(angles, tick_labels):\n",
    "    x = clock_face_radius * np.cos(angle)\n",
    "    y = clock_face_radius * np.sin(angle)\n",
    "    \n",
    "    # Draw the tick\n",
    "    ax.plot([0, x], [0, y], color='black')\n",
    "    \n",
    "    # Positioning the labels slightly outside the clock face\n",
    "    label_x = 1.1 * clock_face_radius * np.cos(angle)\n",
    "    label_y = 1.1 * clock_face_radius * np.sin(angle)\n",
    "    \n",
    "    # Adjusting label alignment based on its position\n",
    "    ha = 'center'\n",
    "    va = 'center'\n",
    "    if np.cos(angle) > 0:\n",
    "        ha = 'left'\n",
    "    elif np.cos(angle) < 0:\n",
    "        ha = 'right'\n",
    "    if np.sin(angle) > 0:\n",
    "        va = 'bottom'\n",
    "    elif np.sin(angle) < 0:\n",
    "        va = 'top'\n",
    "    \n",
    "    ax.text(label_x, label_y, label, horizontalalignment=ha, verticalalignment=va, fontsize=10)\n",
    "\n",
    "# Remove axes\n",
    "ax.axis('off')\n",
    "\n",
    "# Show the plot\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Utility: [modal-interchange](https://www.gutenberg.org/files/1524/1524-h/1524-h.htm)-nondiminishing\n",
    "\n",
    "<Details>\n",
    "    <Summary></Summary>\n",
    "\n",
    "This is `th’imposthume` of much wealth and peace,       \n",
    "That inward breaks, and shows no cause without        \n",
    "\n",
    "Struggle & war bring with them such an admixture that, in the spirit of music, amounts to \"modal interchange\" or modal-chordal-groove tokens with pastoral-comical, tragical, historical arcs of tension & release\n",
    "\n",
    "It is in the imputation of the `NexToken` that we find our _raison d'être_, without which life is monotonous, like the _Utility Function_ below. Diminishing marginal utility is the origin of the sort of debauchery Hamlet laments as being rampant in Denmark. \n",
    "\n",
    "</Details>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "hide-input",
     "hide-output"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1400x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Define the total utility function U(Q)\n",
    "def total_utility(Q):\n",
    "    return 100 * np.log(Q + 1)  # Logarithmic utility function for illustration\n",
    "\n",
    "# Define the marginal utility function MU(Q)\n",
    "def marginal_utility(Q):\n",
    "    return 100 / (Q + 1)  # Derivative of the total utility function\n",
    "\n",
    "# Generate data\n",
    "Q = np.linspace(1, 100, 500)  # Quantity range from 1 to 100\n",
    "U = total_utility(Q)\n",
    "MU = marginal_utility(Q)\n",
    "\n",
    "# Plotting\n",
    "plt.figure(figsize=(14, 7))\n",
    "\n",
    "# Plot Total Utility\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(Q, U, label=r'Total Utility $U(Q) = 100 \\log(Q + 1)$', color='blue')\n",
    "plt.title('Total Utility')\n",
    "plt.xlabel('Quantity (Q)')\n",
    "plt.ylabel('Total Utility (U)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# Plot Marginal Utility\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(Q, MU, label=r'Marginal Utility $MU(Q) = \\frac{dU(Q)}{dQ} = \\frac{100}{Q + 1}$', color='red')\n",
    "plt.title('Marginal Utility')\n",
    "plt.xlabel('Quantity (Q)')\n",
    "plt.ylabel('Marginal Utility (MU)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# Adding some calculus notation and Greek symbols\n",
    "plt.figtext(0.5, 0.02, r\"$MU(Q) = \\frac{dU(Q)}{dQ} = \\lim_{\\Delta Q \\to 0} \\frac{U(Q + \\Delta Q) - U(Q)}{\\Delta Q}$\", ha=\"center\", fontsize=12)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{figure} ../figures/blanche.png\n",
    "---\n",
    "width: 1px\n",
    "height: 1px\n",
    "---\n",
    "_Essay in my $R^3 class$_. \"At the end of the drama THE TRUTH — which has been overlooked, disregarded, scorned, and denied — prevails. And that is how we know the Drama is done.” Some scientists may be `sloppy` because they are — like all humans — interested in **ordering** & {ref}`curated` the world rather than in `rigorously` demonstrating a `truth`\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Pustule (Imposthume)\n",
    "- Inward breaks\n",
    "- Outward shows no cause\n",
    "   - Why the man dies "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
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