{
 "cells": [
  {
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   "id": "46f72be6",
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   "source": [
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/MeiraDavidson/math_module2/blob/main/notebooks/ch9_newton_gradient_descent.ipynb)\n\n",
    "# Chapter 9 — Companion Notebook\n",
    "## When You Can't Solve It, Chase It\n",
    "*How to find an answer by taking smarter and smarter guesses*\n",
    "\n",
    "The centerpiece lab of the book, and where most of Chapter 9's practice lives. Five live experiments turn iteration into something you *watch*: a gradient-descent playground where one dial — the learning rate — slides the glide into a spiral into an explosion; Newton's method doubling its correct digits on $\\sqrt2$ and then flying apart on $x^{1/3}$; a two-valley landscape where the *starting point* alone decides which minimum you fall into; a head-to-head step count of Newton against gradient descent; and your first real optimizer — momentum — on a steep, ill-conditioned bowl.\n",
    "\n",
    "> **How to use this notebook.** Run every cell from the top (Shift+Enter). Each widget below is live — drag the sliders and watch the picture respond. Requires `ipywidgets` and `matplotlib`."
   ]
  },
  {
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   "id": "20422a60",
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      "displayName": "Meira Davidson",
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   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import animation\n",
    "from ipywidgets import (interact, interactive, fixed, Dropdown, Checkbox,\n",
    "                        Button, Output, VBox, HBox,\n",
    "                        FloatSlider, IntSlider, FloatLogSlider)\n",
    "from IPython.display import HTML, display, Markdown\n",
    "\n",
    "# Book 2 palette — matches the printed figures in figures/png/\n",
    "BLUE=\"#1f4e79\"; RED=\"#c0392b\"; GREEN=\"#2e8b57\"; ORANGE=\"#e08e0b\"\n",
    "PURPLE=\"#6c3483\"; TEAL=\"#1b9e9e\"; GRAY=\"#7f8c8d\"; DARK=\"#2c3e50\"\n",
    "SHADE=\"#9fc5e8\"; SHADE2=\"#f4b6ad\"; SHADEG=\"#a9dfbf\"; LIGHT=\"#d6dbdf\"\n",
    "\n",
    "plt.rcParams.update({\n",
    "    \"figure.figsize\": (7.2, 4.5), \"figure.dpi\": 96,\n",
    "    \"font.family\": \"serif\", \"mathtext.fontset\": \"cm\", \"font.size\": 12,\n",
    "    \"axes.spines.top\": False, \"axes.spines.right\": False,\n",
    "    \"axes.grid\": True, \"grid.color\": LIGHT, \"grid.linewidth\": 0.7,\n",
    "    \"lines.linewidth\": 2.2, \"lines.solid_capstyle\": \"round\",\n",
    "})\n",
    "\n",
    "def axes(ax=None, title=None):\n",
    "    '''A clean axes with a light grid; returns the axes.'''\n",
    "    if ax is None:\n",
    "        _, ax = plt.subplots()\n",
    "    if title:\n",
    "        ax.set_title(title, color=DARK)\n",
    "    return ax\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be94542e",
   "metadata": {
    "id": "be94542e"
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   "source": [
    "## 1. The gradient-descent playground — turn the dial, watch the regime change\n",
    "\n",
    "Here is the whole chapter in one picture. We minimize the simplest valley there is, the bowl $f(x)=x^2$, whose bottom is plainly at $x=0$. Starting from a guess $x_0$, gradient descent repeats one line:\n",
    "\n",
    "$$x_{k+1}=x_k-\\eta\\,f'(x_k)=x_k-\\eta\\,(2x_k)=(1-2\\eta)\\,x_k.$$\n",
    "\n",
    "Every step just multiplies your position by the fixed number $1-2\\eta$ — so the whole fate of the run is decided by the single quantity $|1-2\\eta|$, exactly the geometric-sequence test from Chapter 1. Drag the **start** $x_0$ (this is your 'draggable start') and, more importantly, the **learning rate** $\\eta$, and watch the path on the bowl pass through four regimes:\n",
    "\n",
    "- **smooth glide** ($\\eta$ small, factor in $(0,1)$) — creeps patiently down one side and lands;\n",
    "- **shrinking spiral** ($\\tfrac12<\\eta<1$, factor in $(-1,0)$) — overshoots the bottom each step, but the overshoots shrink, so it zig-zags in;\n",
    "- **stuck bounce** ($\\eta=1$, factor $=-1$) — ping-pongs between $\\pm x_0$ forever, never arriving;\n",
    "- **explosion** ($\\eta>1$, factor $<-1$) — each step lands farther out than the last, and it detonates.\n",
    "\n",
    "The magic value $\\eta=\\tfrac12$ makes the factor $0$: gradient descent jumps to the exact minimum in **one step**. Try it."
   ]
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   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "interactive(children=(FloatSlider(value=1.0, description='start x₀', max=3.0, min=-3.0), FloatSlider(value=0.1…"
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   "source": [
    "def _playground(x0=1.0, eta=0.1, n_steps=12):\n",
    "    f  = lambda x: x**2\n",
    "    fp = lambda x: 2.0 * x\n",
    "    # Run the descent x_{k+1} = x_k - eta*f'(x_k), guarding overflow.\n",
    "    xs = [float(x0)]\n",
    "    for _ in range(n_steps):\n",
    "        nxt = xs[-1] - eta * fp(xs[-1])\n",
    "        if not np.isfinite(nxt) or abs(nxt) > 1e6:\n",
    "            xs.append(nxt); break\n",
    "        xs.append(nxt)\n",
    "    xs = np.array(xs)\n",
    "    ys = f(xs)\n",
    "\n",
    "    factor = 1.0 - 2.0 * eta\n",
    "    a = abs(factor)\n",
    "    if abs(eta - 0.5) < 1e-9:\n",
    "        regime, col = 'one-step landing (\\u03b7 = \\u00bd)', GREEN\n",
    "    elif a < 1e-9:\n",
    "        regime, col = 'one-step landing', GREEN\n",
    "    elif factor > 0 and a < 1:\n",
    "        regime, col = 'smooth glide  \\u2713', GREEN\n",
    "    elif factor < 0 and a < 1:\n",
    "        regime, col = 'shrinking spiral  \\u2713', ORANGE\n",
    "    elif a == 1 or abs(a - 1) < 1e-9:\n",
    "        regime, col = 'stuck bounce  \\u2717', RED\n",
    "    else:\n",
    "        regime, col = 'explosion  \\u2717', RED\n",
    "\n",
    "    fig, (axL, axR) = plt.subplots(1, 2, figsize=(11.0, 4.6))\n",
    "\n",
    "    # --- left: the path on the bowl ---\n",
    "    span = max(abs(x0) * 1.3, np.nanmax(np.abs(xs[np.isfinite(xs)])) * 1.05, 1.0)\n",
    "    span = min(span, 6.0)\n",
    "    gx = np.linspace(-span, span, 400)\n",
    "    axes(axL, 'descent path on the bowl  f(x) = x\\u00b2')\n",
    "    axL.plot(gx, f(gx), color=BLUE, lw=2.4, zorder=1, label='f(x) = x\\u00b2')\n",
    "    vis = np.isfinite(xs) & (np.abs(xs) <= span)\n",
    "    axL.plot(xs[vis], ys[vis], '-', color=RED, lw=1.6, zorder=3)\n",
    "    axL.scatter(xs[vis], ys[vis], s=42, color=RED, zorder=4,\n",
    "                label='descent steps')\n",
    "    axL.scatter([x0], [f(x0)], s=95, color=DARK, zorder=5,\n",
    "                marker='s', label='start  x\\u2080')\n",
    "    # Mark the converged point green if we actually settled near 0.\n",
    "    if np.isfinite(xs[-1]) and abs(xs[-1]) < 1e-2:\n",
    "        axL.scatter([xs[-1]], [f(xs[-1])], s=150, color=GREEN,\n",
    "                    zorder=6, marker='*', label='converged \\u2192 0')\n",
    "    axL.set_xlabel('x'); axL.set_ylabel('f(x)')\n",
    "    axL.set_xlim(-span, span); axL.set_ylim(-0.05 * span**2, span**2)\n",
    "    axL.legend(loc='upper center', framealpha=0.9, fontsize=9)\n",
    "\n",
    "    # --- right: x_k versus step number ---\n",
    "    axes(axR, f'regime:  {regime}')\n",
    "    k = np.arange(len(xs))\n",
    "    axR.axhline(0.0, color=GRAY, lw=1.0, ls=':')\n",
    "    kk = k[vis]; xx = xs[vis]\n",
    "    axR.plot(kk, xx, '-o', color=col, ms=6, zorder=3)\n",
    "    axR.set_xlabel('step k'); axR.set_ylabel('x_k')\n",
    "    axR.set_title(f'regime:  {regime}', color=col)\n",
    "    axR.text(0.5, 1.12, f'factor 1\\u22122\\u03b7 = {factor:+.3f}'\n",
    "             f'   (|1\\u22122\\u03b7| = {a:.3f})',\n",
    "             transform=axR.transAxes, ha='center', color=DARK,\n",
    "             fontsize=11)\n",
    "    if np.all(np.isfinite(xs)):\n",
    "        ylo, yhi = np.min(xs), np.max(xs)\n",
    "        pad = max(0.1, 0.12 * (yhi - ylo))\n",
    "        axR.set_ylim(ylo - pad, yhi + pad)\n",
    "    fig.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "    # A short numeric read-out of the first several step values.\n",
    "    shown = ', '.join(f'{v:.4g}' for v in xs[:7])\n",
    "    tail = ' \\u2026' if len(xs) > 7 else ''\n",
    "    display(Markdown(f'**Steps:** $x_0,\\\\,x_1,\\\\,\\\\ldots$ = '\n",
    "                     f'`{shown}{tail}`'))\n",
    "\n",
    "interact(_playground,\n",
    "         x0=FloatSlider(value=1.0, min=-3.0, max=3.0, step=0.1,\n",
    "                        description='start x\\u2080'),\n",
    "         eta=FloatSlider(value=0.1, min=0.01, max=1.2, step=0.01,\n",
    "                         description='\\u03b7 (rate)', readout_format='.2f'),\n",
    "         n_steps=IntSlider(value=12, min=2, max=30, step=1,\n",
    "                           description='steps'));"
   ]
  },
  {
   "cell_type": "markdown",
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    "id": "e9bb069f"
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   "source": [
    "## 2. Newton's method — fast when it works, spectacular when it doesn't\n",
    "\n",
    "Newton's method replaces the hard curve with its easy tangent line and jumps to where the *line* hits zero:\n",
    "\n",
    "$$x_{n+1}=x_n-\\frac{f(x_n)}{f'(x_n)}.$$\n",
    "\n",
    "Pick **$g(x)=x^2-2$** (its root is $\\sqrt2$) and watch the *correct digits roughly double every step* — $2,5,11,\\ldots$ — from a sloppy start. That blistering speed is **quadratic convergence**, Newton's signature. Then switch to **$x^{1/3}$**, whose only root is $0$: its rule simplifies to $x_{n+1}=-2x_n$, so the guess flips sign and doubles in size every step — $1,-2,4,-8,\\ldots$ — running screaming away from the very root it was meant to find. Same elegant formula; the difference is whether the slope behaves at the root."
   ]
  },
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   "cell_type": "code",
   "execution_count": 3,
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    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "interactive(children=(Dropdown(description='function', options=('g(x) = x² − 2   (root √2)', 'f(x) = x^(1/3)  …"
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   "source": [
    "def _newton_panel(which='g(x) = x\\u00b2 \\u2212 2   (root \\u221a2)', steps=4):\n",
    "    if which.startswith('g(x)'):\n",
    "        f  = lambda x: x**2 - 2.0\n",
    "        fp = lambda x: 2.0 * x\n",
    "        x0, root = 1.5, np.sqrt(2.0)\n",
    "        title = 'Newton on  g(x) = x\\u00b2 \\u2212 2   \\u2192   \\u221a2'\n",
    "        gx = np.linspace(0.4, 2.2, 400)\n",
    "        good = True\n",
    "    else:\n",
    "        # Real cube root, sign-aware: cbrt blows up under Newton.\n",
    "        f  = lambda x: np.cbrt(x)\n",
    "        fp = lambda x: (1.0 / 3.0) * np.cbrt(x) / np.where(x == 0, np.nan, x)\n",
    "        x0, root = 1.0, 0.0\n",
    "        title = 'Newton on  f(x) = x^(1/3)   (root 0) \\u2014 diverges'\n",
    "        gx = np.linspace(-9.0, 9.0, 400)\n",
    "        good = False\n",
    "\n",
    "    # Run Newton, recording each guess.\n",
    "    xs = [float(x0)]\n",
    "    for _ in range(steps):\n",
    "        x = xs[-1]\n",
    "        d = fp(x)\n",
    "        if d == 0 or not np.isfinite(d):\n",
    "            break\n",
    "        nxt = x - f(x) / d\n",
    "        if not np.isfinite(nxt) or abs(nxt) > 1e9:\n",
    "            xs.append(nxt); break\n",
    "        xs.append(nxt)\n",
    "    xs = np.array(xs)\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(7.6, 4.6))\n",
    "    axes(ax, title)\n",
    "    ax.axhline(0.0, color=GRAY, lw=1.0)\n",
    "    ax.plot(gx, f(gx), color=BLUE, lw=2.4, zorder=1)\n",
    "    ax.scatter([root], [0.0], s=110, color=GREEN, zorder=6,\n",
    "               marker='*', label=f'true root = {root:.4g}')\n",
    "    # Draw the tangent slides for the first few steps (the geometry).\n",
    "    shown = min(len(xs) - 1, 4)\n",
    "    for i in range(shown):\n",
    "        x = xs[i]\n",
    "        if not np.isfinite(x):\n",
    "            continue\n",
    "        ax.plot([x, x], [0.0, f(x)], color=PURPLE, lw=1.0, ls=':',\n",
    "                zorder=2)\n",
    "        ax.plot([x, xs[i + 1]], [f(x), 0.0], color=PURPLE, lw=1.4,\n",
    "                zorder=2)\n",
    "    vis = np.isfinite(xs) & (np.abs(xs) <= np.abs(gx).max())\n",
    "    ax.scatter(xs[vis], f(xs[vis]), s=45, color=PURPLE, zorder=5,\n",
    "               label='Newton guesses')\n",
    "    ax.set_xlabel('x'); ax.set_ylabel('y')\n",
    "    ax.set_xlim(gx.min(), gx.max())\n",
    "    ax.legend(loc='upper left', framealpha=0.9, fontsize=9)\n",
    "    plt.show()\n",
    "\n",
    "    # The convergence table — the heart of this panel.\n",
    "    rows = ['| step | guess $x_n$ | error $|x_n-\\\\text{root}|$ | correct digits |',\n",
    "            '|:---:|:---|:---|:---:|']\n",
    "    for n, x in enumerate(xs):\n",
    "        if not np.isfinite(x):\n",
    "            rows.append(f'| $x_{{{n}}}$ | overflow | \\u2014 | \\u2014 |')\n",
    "            continue\n",
    "        err = abs(x - root)\n",
    "        if err == 0:\n",
    "            dig = '\\u221e'\n",
    "        elif err >= 1:\n",
    "            dig = '0'\n",
    "        else:\n",
    "            dig = f'{-np.log10(err):.1f}'\n",
    "        rows.append(f'| $x_{{{n}}}$ | {x:.12g} | {err:.3e} | {dig} |')\n",
    "    note = ('Watch the **correct digits roughly double** each step '\n",
    "            '\\u2014 quadratic convergence.' if good else\n",
    "            'The error **doubles** each step ($x_{n+1}=-2x_n$): '\n",
    "            'Newton runs away from the root.')\n",
    "    display(Markdown('\\n'.join(rows) + '\\n\\n' + note))\n",
    "\n",
    "interact(_newton_panel,\n",
    "         which=Dropdown(\n",
    "             options=['g(x) = x\\u00b2 \\u2212 2   (root \\u221a2)',\n",
    "                      'f(x) = x^(1/3)   (root 0, blows up)'],\n",
    "             value='g(x) = x\\u00b2 \\u2212 2   (root \\u221a2)',\n",
    "             description='function'),\n",
    "         steps=IntSlider(value=4, min=1, max=10, step=1,\n",
    "                         description='steps'));"
   ]
  },
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    "id": "85e73d7c"
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   "source": [
    "## 3. Two valleys — where you *start* decides where you *land*\n",
    "\n",
    "Real loss landscapes are not single bowls; they have several valleys, and gradient descent only ever finds *a* nearby one — not necessarily the best one. Here is the smallest landscape that shows it, $f(x)=x^4-3x^2+x$. Its slope is $f'(x)=4x^3-6x+1$, which is zero at three places: two **minima** (a shallow one on the left, a deeper one on the right) with a hill between them.\n",
    "\n",
    "Drag the **start** $x_0$ and watch the red path roll downhill. Start on the left of the hill and you fall into the shallow (worse) minimum; start on the right and you reach the deeper (better) one. Nothing about the descent changed — only where you began. *That* is the difference between a **local** and a **global** minimum, and it is the central headache of training a model: gradient descent finds the valley you happened to be standing over."
   ]
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   ],
   "source": [
    "# Precompute the two true minima of f(x)=x^4-3x^2+x via f'(x)=4x^3-6x+1.\n",
    "_F3   = lambda x: x**4 - 3.0 * x**2 + x\n",
    "_F3P  = lambda x: 4.0 * x**3 - 6.0 * x + 1.0\n",
    "_CRIT = np.roots([4.0, 0.0, -6.0, 1.0]).real\n",
    "_CRIT = np.sort(_CRIT)\n",
    "_MINS = np.array([c for c in _CRIT if (12.0 * c**2 - 6.0) > 0])  # f''>0\n",
    "\n",
    "def _two_valleys(x0=-1.6, eta=0.02, n_steps=40):\n",
    "    xs = [float(x0)]\n",
    "    for _ in range(n_steps):\n",
    "        nxt = xs[-1] - eta * _F3P(xs[-1])\n",
    "        if not np.isfinite(nxt) or abs(nxt) > 1e6:\n",
    "            xs.append(nxt); break\n",
    "        xs.append(nxt)\n",
    "        if abs(_F3P(xs[-1])) < 1e-9:\n",
    "            break\n",
    "    xs = np.array(xs)\n",
    "    landed = xs[-1]\n",
    "    # Which true minimum did we land nearest?\n",
    "    target = _MINS[np.argmin(np.abs(_MINS - landed))] if np.isfinite(landed) else np.nan\n",
    "    glob = _MINS[np.argmin(_F3(_MINS))]\n",
    "    is_global = np.isfinite(landed) and abs(target - glob) < 1e-6\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(8.2, 4.8))\n",
    "    axes(ax, 'two-valley landscape  f(x) = x\\u2074 \\u2212 3x\\u00b2 + x')\n",
    "    gx = np.linspace(-2.1, 2.1, 500)\n",
    "    ax.plot(gx, _F3(gx), color=BLUE, lw=2.4, zorder=1, label='f(x)')\n",
    "    # Mark both minima; star the global one.\n",
    "    for m in _MINS:\n",
    "        is_g = abs(m - glob) < 1e-6\n",
    "        ax.scatter([m], [_F3(m)], s=150 if is_g else 90,\n",
    "                   color=GREEN, zorder=5,\n",
    "                   marker='*' if is_g else 'o',\n",
    "                   label=('global min' if is_g else 'local min'))\n",
    "    vis = np.isfinite(xs)\n",
    "    ax.plot(xs[vis], _F3(xs[vis]), '-', color=RED, lw=1.4, zorder=3)\n",
    "    ax.scatter(xs[vis], _F3(xs[vis]), s=26, color=RED, zorder=4,\n",
    "               label='descent path')\n",
    "    ax.scatter([x0], [_F3(x0)], s=110, color=DARK, marker='s',\n",
    "               zorder=6, label='start x\\u2080')\n",
    "    ax.set_xlabel('x'); ax.set_ylabel('f(x)')\n",
    "    ax.set_xlim(-2.1, 2.1)\n",
    "    ax.set_ylim(_F3(gx).min() - 0.4, _F3(_CRIT[1]) + 1.0)\n",
    "    ax.legend(loc='upper center', framealpha=0.9, fontsize=9, ncol=2)\n",
    "    plt.show()\n",
    "\n",
    "    verdict = ('reached the **global** minimum \\u2713' if is_global\n",
    "               else 'trapped in a **local** (worse) minimum \\u2717')\n",
    "    display(Markdown(\n",
    "        f'Started at $x_0={x0:.2f}$ \\u2192 landed at '\n",
    "        f'$x\\\\approx{landed:.4f}$ with '\n",
    "        f'$f={_F3(landed):.4f}$ \\u2014 {verdict}.  '\n",
    "        f'(Global min sits at $x\\\\approx{glob:.4f}$, '\n",
    "        f'$f\\\\approx{_F3(glob):.4f}$.)'))\n",
    "\n",
    "interact(_two_valleys,\n",
    "         x0=FloatSlider(value=-1.6, min=-2.0, max=2.0, step=0.05,\n",
    "                        description='start x\\u2080'),\n",
    "         eta=FloatSlider(value=0.02, min=0.005, max=0.06, step=0.005,\n",
    "                         description='\\u03b7 (rate)', readout_format='.3f'),\n",
    "         n_steps=IntSlider(value=40, min=5, max=80, step=5,\n",
    "                           description='steps'));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b1a0626",
   "metadata": {
    "id": "4b1a0626"
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   "source": [
    "## 4. The race — Newton vs. gradient descent, counted in steps\n",
    "\n",
    "The two methods are secretly the same idea: both step against the slope $f'$. Gradient descent uses a fixed step size $\\eta$ that *you* pick; Newton uses $1/f''(x_n)$, reading the curvature off the function and setting its own step size. Let us race them on the same job — minimizing a convex $f$ by driving $f'$ to zero — and **count the steps each needs** to get within a tolerance.\n",
    "\n",
    "On a quadratic $f(x)=\\tfrac{a}{2}x^2$ Newton lands in a **single step** from anywhere (its automatic step size $1/f''=1/a$ is exactly the perfect $\\eta$). Gradient descent needs many, and how many depends on the $\\eta$ you chose. Slide $\\eta$ and the curvature $a$ and watch Newton win by a landslide — the lesson behind *why* Newton is the fast method (and Section 5 shows the catch that keeps AI from using it)."
   ]
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    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "interactive(children=(FloatSlider(value=2.0, description='curvature a', max=8.0, min=0.5, step=0.5), FloatSlid…"
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   "source": [
    "def _race(a=2.0, eta=0.3, x0=2.5, tol=1e-6, max_steps=200):\n",
    "    f   = lambda x: 0.5 * a * x**2\n",
    "    fp  = lambda x: a * x\n",
    "    fpp = lambda x: a\n",
    "    xmin = 0.0\n",
    "\n",
    "    # Gradient descent on f.\n",
    "    gd = [float(x0)]\n",
    "    for _ in range(max_steps):\n",
    "        gd.append(gd[-1] - eta * fp(gd[-1]))\n",
    "        if not np.isfinite(gd[-1]) or abs(gd[-1]) > 1e9:\n",
    "            break\n",
    "        if abs(gd[-1] - xmin) < tol:\n",
    "            break\n",
    "    gd = np.array(gd)\n",
    "    gd_steps = len(gd) - 1\n",
    "    gd_ok = np.isfinite(gd[-1]) and abs(gd[-1] - xmin) < tol\n",
    "\n",
    "    # Newton on f' (i.e. x - f'/f'') to find the minimum.\n",
    "    nt = [float(x0)]\n",
    "    for _ in range(max_steps):\n",
    "        nt.append(nt[-1] - fp(nt[-1]) / fpp(nt[-1]))\n",
    "        if abs(nt[-1] - xmin) < tol:\n",
    "            break\n",
    "    nt = np.array(nt)\n",
    "    nt_steps = len(nt) - 1\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(8.0, 4.6))\n",
    "    axes(ax, f'distance to the minimum vs. step   (a = {a:.2g}, \\u03b7 = {eta:.2g})')\n",
    "    ax.semilogy(np.arange(len(gd)), np.abs(gd - xmin) + 1e-16, '-o',\n",
    "                color=RED, ms=5, label=f'gradient descent ({gd_steps} steps)')\n",
    "    ax.semilogy(np.arange(len(nt)), np.abs(nt - xmin) + 1e-16, '-s',\n",
    "                color=PURPLE, ms=6, label=f'Newton ({nt_steps} step'\n",
    "                f'{\"s\" if nt_steps != 1 else \"\"})')\n",
    "    ax.axhline(tol, color=GREEN, lw=1.4, ls='--', label=f'tolerance {tol:g}')\n",
    "    ax.set_xlabel('step'); ax.set_ylabel('|x \\u2212 x*|  (log scale)')\n",
    "    ax.legend(loc='upper right', framealpha=0.9, fontsize=9)\n",
    "    plt.show()\n",
    "\n",
    "    winner = ('Newton' if nt_steps < gd_steps else\n",
    "              'gradient descent' if gd_steps < nt_steps else 'a tie')\n",
    "    gd_txt = f'**{gd_steps}** steps' + ('' if gd_ok else ' (did not converge)')\n",
    "    display(Markdown(\n",
    "        f'**Steps to reach tolerance {tol:g}:**  '\n",
    "        f'Newton = **{nt_steps}**, gradient descent = {gd_txt}.  '\n",
    "        f'Winner: **{winner}**.  '\n",
    "        f'(On a quadratic, Newton\\u2019s step size $1/f\\'\\'=1/{a:.2g}$ '\n",
    "        f'is the exact best $\\\\eta$, so it lands in one step.)'))\n",
    "\n",
    "interact(_race,\n",
    "         a=FloatSlider(value=2.0, min=0.5, max=8.0, step=0.5,\n",
    "                       description='curvature a'),\n",
    "         eta=FloatSlider(value=0.3, min=0.02, max=0.9, step=0.02,\n",
    "                         description='\\u03b7 (GD rate)', readout_format='.2f'),\n",
    "         x0=FloatSlider(value=2.5, min=-4.0, max=4.0, step=0.5,\n",
    "                        description='start x\\u2080'));"
   ]
  },
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   "cell_type": "markdown",
   "id": "1c5727ac",
   "metadata": {
    "id": "1c5727ac"
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   "source": [
    "## 5. Your first real optimizer — momentum on a steep bowl\n",
    "\n",
    "On a *steep*, ill-conditioned bowl $f(x)=k\\,x^2$ (large $k$ means sharp curvature), plain gradient descent is forced to take tiny steps: its safe range $0<\\eta<\\tfrac1k$ collapses as $k$ grows, so it crawls. **Momentum** — the heavy-ball method — fixes this by letting the steps build up speed, like a ball gathering momentum rolling downhill:\n",
    "\n",
    "$$v_{k+1}=\\beta\\,v_k-\\eta\\,f'(x_k),\\qquad x_{k+1}=x_k+v_{k+1}.$$\n",
    "\n",
    "The velocity $v$ remembers past steps (the factor $\\beta$, here $0.9$); plain gradient descent is just the $\\beta=0$ case. Tick the **momentum** box to overlay the heavy-ball path (teal) on the plain one (red), and compare how many steps each needs. This is a baby version of the optimizers that actually train neural networks — and your bridge to Book 3, where $x$ becomes a vector and this exact rule does the heavy lifting."
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    "def _momentum(k=10.0, eta=0.05, beta=0.9, use_momentum=True,\n",
    "              x0=1.0, tol=1e-4, max_steps=120):\n",
    "    fp = lambda x: 2.0 * k * x\n",
    "    f  = lambda x: k * x**2\n",
    "    xmin = 0.0\n",
    "\n",
    "    def run(mom):\n",
    "        xs = [float(x0)]; v = 0.0\n",
    "        for _ in range(max_steps):\n",
    "            v = (beta * v if mom else 0.0) - eta * fp(xs[-1])\n",
    "            nxt = xs[-1] + v\n",
    "            xs.append(nxt)\n",
    "            if not np.isfinite(nxt) or abs(nxt) > 1e9:\n",
    "                break\n",
    "            if abs(nxt - xmin) < tol:\n",
    "                break\n",
    "        return np.array(xs)\n",
    "\n",
    "    plain = run(False)\n",
    "    heavy = run(True)\n",
    "\n",
    "    fig, (axL, axR) = plt.subplots(1, 2, figsize=(11.0, 4.6))\n",
    "\n",
    "    # --- left: paths on the steep bowl ---\n",
    "    axes(axL, f'paths on the steep bowl  f(x) = {k:.0f}\\u00b7x\\u00b2')\n",
    "    span = max(abs(x0) * 1.2, 1.0)\n",
    "    gx = np.linspace(-span, span, 400)\n",
    "    axL.plot(gx, f(gx), color=BLUE, lw=2.2, zorder=1, label='f(x)')\n",
    "    pv = np.isfinite(plain) & (np.abs(plain) <= span)\n",
    "    axL.plot(plain[pv], f(plain[pv]), '-o', color=RED, ms=4, zorder=3,\n",
    "             label=f'plain GD ({len(plain) - 1} steps)')\n",
    "    if use_momentum:\n",
    "        hv = np.isfinite(heavy) & (np.abs(heavy) <= span)\n",
    "        axL.plot(heavy[hv], f(heavy[hv]), '-s', color=TEAL, ms=5,\n",
    "                 zorder=4, label=f'momentum ({len(heavy) - 1} steps)')\n",
    "    axL.scatter([0], [0], s=140, color=GREEN, marker='*', zorder=6)\n",
    "    axL.set_xlabel('x'); axL.set_ylabel('f(x)')\n",
    "    axL.set_xlim(-span, span); axL.set_ylim(-0.05 * f(span), f(span))\n",
    "    axL.legend(loc='upper center', framealpha=0.9, fontsize=9)\n",
    "\n",
    "    # --- right: convergence speed ---\n",
    "    axes(axR, 'distance to minimum vs. step')\n",
    "    axR.semilogy(np.arange(len(plain)), np.abs(plain - xmin) + 1e-16,\n",
    "                 '-o', color=RED, ms=4, label='plain GD')\n",
    "    if use_momentum:\n",
    "        axR.semilogy(np.arange(len(heavy)), np.abs(heavy - xmin) + 1e-16,\n",
    "                     '-s', color=TEAL, ms=5, label='momentum')\n",
    "    axR.axhline(tol, color=GREEN, lw=1.3, ls='--', label=f'tol {tol:g}')\n",
    "    axR.set_xlabel('step'); axR.set_ylabel('|x \\u2212 x*|  (log)')\n",
    "    axR.legend(loc='upper right', framealpha=0.9, fontsize=9)\n",
    "    fig.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "    if use_momentum:\n",
    "        p, h = len(plain) - 1, len(heavy) - 1\n",
    "        verdict = (f'Momentum reached tolerance in **{h}** steps vs. '\n",
    "                   f'**{p}** for plain gradient descent'\n",
    "                   + (f' \\u2014 a {p / h:.1f}\\u00d7 speed-up.' if h and h < p\n",
    "                      else '.'))\n",
    "    else:\n",
    "        verdict = ('Momentum is **off** ($\\\\beta=0$): this is plain '\n",
    "                   'gradient descent. Tick the box to add the heavy ball.')\n",
    "    display(Markdown(verdict))\n",
    "\n",
    "interact(_momentum,\n",
    "         k=FloatSlider(value=10.0, min=1.0, max=30.0, step=1.0,\n",
    "                       description='steepness k'),\n",
    "         eta=FloatSlider(value=0.05, min=0.005, max=0.09, step=0.005,\n",
    "                         description='\\u03b7 (rate)', readout_format='.3f'),\n",
    "         beta=FloatSlider(value=0.9, min=0.0, max=0.95, step=0.05,\n",
    "                          description='\\u03b2 (momentum)', readout_format='.2f'),\n",
    "         use_momentum=Checkbox(value=True, description='momentum on'));"
   ]
  },
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   "cell_type": "markdown",
   "id": "fa6e04e3",
   "metadata": {
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   "source": [
    "---\n",
    "\n",
    "*Every widget here is the same chapter, run by hand: a guess that gets better each step. You watched a learning rate slide a glide into an explosion, Newton double its digits and then fly apart, a starting point alone decide local versus global, and a heavy ball outrun plain descent on a steep bowl. In Book 3 the single number $x$ becomes a vector and $f'$ becomes the **gradient** — but the update rule $x_{k+1}=x_k-\\eta\\,(\\text{gradient})$ keeps the exact same shape. When you next watch a neural network's loss tick downward, you will be watching this notebook, run a few million times.*"
   ]
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      "value": 1.4
     }
    },
    "3030f257fd684f9a9dfcd6d728252b11": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatSliderModel",
     "model_module_version": "1.5.0",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatSliderModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "FloatSliderView",
      "continuous_update": true,
      "description": "η (rate)",
      "description_tooltip": null,
      "disabled": false,
      "layout": "IPY_MODEL_e1facfe07d2d4667aab86246ab0a9eb8",
      "max": 1.2,
      "min": 0.01,
      "orientation": "horizontal",
      "readout": true,
      "readout_format": ".2f",
      "step": 0.01,
      "style": "IPY_MODEL_b32ade77ca4e49fd8d42d70d654e929b",
      "value": 0.24
     }
    },
    "7e25f653f0fc44a2b084c0866262c78a": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "IntSliderModel",
     "model_module_version": "1.5.0",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "IntSliderModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "IntSliderView",
      "continuous_update": true,
      "description": "steps",
      "description_tooltip": null,
      "disabled": false,
      "layout": "IPY_MODEL_410bc8b1daaf4853a86e364d4f9e4c43",
      "max": 30,
      "min": 2,
      "orientation": "horizontal",
      "readout": true,
      "readout_format": "d",
      "step": 1,
      "style": "IPY_MODEL_0eff0c56e40c447dbaa1191bdab61e86",
      "value": 22
     }
    },
    "74099d891ebe43328aac29b1e03bdd48": {
     "model_module": "@jupyter-widgets/output",
     "model_name": "OutputModel",
     "model_module_version": "1.0.0",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/output",
      "_model_module_version": "1.0.0",
      "_model_name": "OutputModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/output",
      "_view_module_version": "1.0.0",
      "_view_name": "OutputView",
      "layout": "IPY_MODEL_d01274a70382454db8aac71d2789afc9",
      "msg_id": "",
      "outputs": [
       {
        "output_type": "stream",
        "name": "stderr",
        "text": [
         "/tmp/ipykernel_19355/1559682563.py:67: UserWarning: Glyph 10003 (\\N{CHECK MARK}) missing from font(s) DejaVu Serif.\n",
         "  fig.tight_layout()\n"
        ]
       },
       {
        "output_type": "display_data",
        "data": {
         "text/plain": "<Figure size 1056x441.6 with 2 Axes>",
         "image/png": 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       {
        "output_type": "display_data",
        "data": {
         "text/plain": "<Figure size 729.6x441.6 with 1 Axes>",
         "image/png": 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         "text/markdown": "| step | guess $x_n$ | error $|x_n-\\text{root}|$ | correct digits |\n|:---:|:---|:---|:---:|\n| $x_{0}$ | 1 | 1.000e+00 | 0 |\n| $x_{1}$ | -2 | 2.000e+00 | 0 |\n| $x_{2}$ | 4 | 4.000e+00 | 0 |\n| $x_{3}$ | -8 | 8.000e+00 | 0 |\n| $x_{4}$ | 16 | 1.600e+01 | 0 |\n| $x_{5}$ | -32 | 3.200e+01 | 0 |\n| $x_{6}$ | 64 | 6.400e+01 | 0 |\n| $x_{7}$ | -128 | 1.280e+02 | 0 |\n| $x_{8}$ | 256 | 2.560e+02 | 0 |\n| $x_{9}$ | -512 | 5.120e+02 | 0 |\n\nThe error **doubles** each step ($x_{n+1}=-2x_n$): Newton runs away from the root."
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\n"
        },
        "metadata": {}
       },
       {
        "output_type": "display_data",
        "data": {
         "text/plain": "<IPython.core.display.Markdown object>",
         "text/markdown": "Started at $x_0=0.90$ → landed at $x\\approx1.1309$ with $f=-1.0702$ — trapped in a **local** (worse) minimum ✗.  (Global min sits at $x\\approx-1.3008$, $f\\approx-3.5139$.)"
        },
        "metadata": {}
       }
      ]
     }
    },
    "c86051b1f9a04c6286934f3f83f476f5": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "model_module_version": "1.2.0",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
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      "align_items": null,
      "align_self": null,
      "border": null,
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      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
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WZibYuHxeke0Fw6KePo+p9HjK4/TZy7hxJxzzqqECg33blipf5etoa6ORkVG537f1xfa9R5EpysI3Uz4p975CHW1kZIqqIKrag8bMkiLiXuWPsyyu58DctOi2kliYmWDR7K+xdO1f+HbuMhga6MO1RxcM9HaDa/fO5Rr3FBUbj537/8O9h4+RlpEJDocDAOy4t5KYNDJSeaz1trej4JcxAMTE5Y/5KkgE3tejS6dCbfP/ut114Dj2/3dGpZ1SoYRQqIP0jIp9aMTFvwbDMLAwL/5aFyT1MXGvKm1cX+FkDAD7S6TwdUrLEEGUlQ0ul4t+o78ocoy8PCmEQh0kJqeWeC3fZ2xkoPK4YLzx+9sL7pskt/xls0r8GZDJi2teImMjQ5XHBT1n728vuHaS3NxyHb/0c1fNdbJp2hguHzji6q37iItPgK11E8TGv0bEkxdY4/8j264y38vvv47fFvjh56Vr8dOva7D4981w6eoIn7690detR5njzwvEvMx/XwZfuIbLN++pPMcwTP77MjOryH6mjYyKjd3S3BQJicl4+SoBZibG5X5dpSl4T/FLmPRz9dZ97D0chBcxccjKzgGHy4VSoQQASDSsY1oZUtIysOT3zfhl1rQinxdVwbRR0XNoafFVPpOqm8Hbb+1Ken9JJPnv+YJv9yrL8+g4bNrxL/7+faFGk1R5PB6k5SgZVhdRMktKJJXKi/RUltdHH3rA28MFYRdvIOTCVYRcuIqTIRfQzakjNq2YX2QQfXGeRcXik2mz0bSxBX6d+y3atbJjfwF9WExSVRiXo/4vWXXqAxYk0f+bOKZSykHVFuokI29fOvR0dXDu8LYqPW9lTvCorGNxuZxybS8PpbL0ISNVeZ0+Hvwhrty8h/3/ncb303yx/9gZ+PR1ZSdMFaiM93JxenZzwul/t+DS9TsIOX8VIReuIezSdbRu0Qx//76IHVpUGg7y78GIgV6YPX2yRnEUVpW/+IU6+T2yMpm8yDU7fCIE85f/AW93F/z1+yL2j8JXCUnoP2aq2ud4k5SCMVP91G7f2NyszKEG127fh1Qqw5Lft2DJ71vY7QV/FJ4Ou4zLN+4CAJbMmQ7XHkW/vSoXTsXeVzN+XoZ7EU/Ubr968ewyhxoUTLxNTCm+dzgpJQ0AKjT0pjjnLt8El8PB9J+WqmzPy5MCUJ0U+deqhWhlZ6vSTiaXsz939RUls6QIW6vGeB79EsmpaUX+wkxOTVP7OAzDQKlUQkdbGwO8emOAV2+kZ4gwd+laXLx2GydCLqg1C/pIUBgkuXmY+tkolcoFlcWu2dsPqBK+vkpKSYO+rhC6ukI0t20KACV+lf4g8ikM9PXQ3EbzDzNb66bgcrmlxlM47upiYmwEI0N9ZIryFxd4P9lJzxDh8fNodHPqqPZYx4aGz+NBLlcU2Z6WnlH9wbzl3rMbzE0b4WjQWUz97GMcPRWGLb8tUGlTWe/l4igUCgj4fHj26g7PXt0xd8YXWLr2LxwJCsOeQyfw1aSxZR6jrPflkxcxAMOwdUELpKZngmEY9o/UAknJ+e+xgvHqlcnS3BTPomIhysqGmWkjlef+eVvW6advPy/yXHkUjJmtTIO83YsdJ3vz7kNMmjEPH/bpVWSOQU1avWROpR/TpmljWDW2wIuYl5BKZSp/jOTlSfEi9iWsm1qqVcmgPKaMH4Ep44tWIjgSFIZ5y9bBd/QQlSpC78vKzqnTZeDUQWNmSRF9e+fXzzt35abK9qzsHDx8/Fzt49y6F4Fhvt+qbGtkbMiWLBJlvVvxpGBAvfztV0gpaRnwX70FYrGETYze/4WTlyetlDFtLh84wtTEGFdv3YdYovrV8PPoOPQdMRkvYl8CAPp59IKWlgChF65BoVBNSlLTM+D7zc94EROv1nmFOtoqiU3gvqO4djscRgb66N2jCzIys3Dz3kOVfd4kpSDiyXO0bG6D9q1bqHUOoPjrWl4cDgcD+uYX6T5z9nKR57fsOoBVGwMpkS1FwdfXhb1JSkH868Qaiii/uPqwgV5IzxRhzuLfYd3EEu3bqP5slee9DOS/pvffH8V5lZAEl4HjoVQq2W26ukJ8Omrw2+O+m0jz/s+yXK6A/+otSEhMRs9uTjBpZIQrN+8VWZNeKpXhy1mLcOOu6nup4Fg339se/ugpUtLS0dmhXaUPMQCAdm8T6tfFjGtmh1W891n3KqHmfj6IqtFD+0MqlSHkwjWV7SEXrkEqlWH0kP5F9klJTS/XymCVKTU9A1KpDG3eTnKsryiZJUVMHDsMzW2aInDvUdx7W3M1I1OEecvWlfuriui4Vwjcd5R9I6dniHDgvzPQFeqgb6Gi063tbMHhcNjJXOev3MTpsMsQCnXwoWcvCAR8bAr8l50JnJWdgwUrNkAqrfgHhI62NpbMmQ6pTIbFKzexvwxfvkrAz0vXwdvdhZ3VbWFmgjnTp+B1YjKWrvmLXUb15es3+G7ecnRz6giPnh+odd7WLZoh7lUCxJJcpGVkYvOO/ch9Oxbrpxmfw8LMBMvW/o24+AQAQFpGJhas2MDG+35yX+w5Srmumpg+ZRxaNrfB2r/24E74IwD5ScWB/87g4H9nMOsrX42O21B4ubsgMTkVx06dBcMwyBRlYeXGQDS2VG+McVUZOcgbXC4X56/eUqmPW5i67+XAfUfhPepzzJgXoNa5JZJcrNwYyP6BlSOWYM+hE+DzePDp68q2s7VuCm0tLTx9EQsAuHnvIQ4eD4ZQRxs62tpYPPtryORyzA9Yj9S3Pd0paRn4YdFKmJs2wohiivsbGepjy879eB4dByD/25mAdX9DqKONOd9MUSv+8ir4+v3RkxdFnhvUL7/n89fVW5Apyh/jGxefgN82bK+SWKrDgf/OwMF9GFtbu64bP3IQunSyx8qN2/HkeTSA/J7/VZsC0cWhPT4ZMVCl/ZlzV9BnxGSMmfpDTYSLyLcThXs7d62R81cXDlOZ9X1IvfH+oglmJsb4bNRgXL/7AMdOnUUjI0N0bN8aGwJ+Vik4LxTqQFeog90bAmBkqI/DJ0MRduk64l8nQiaXQ0sgQGeH9vh8/Igi43q27z2C3QdPQCqTwcTYCLP+54tebysq3Lz7EBu378OTFzHg87gwNzPBiEHe2PbPESQmp6KRsSG+/Xw8HNq3xpTvfmEXTWhkZIgBXr0x55spGPOFH2LjXyM7Rwx9PV1YmpviSOBa9vyPnr7Alh35iyZwOBwY6OthkLc7fEcPKTLo/uqt+9j2z2E8evoC2lpaMNDXwwCv3vh01OASy7a8L+LJCyxZtQnxCYnQ1tLCh569MOt/vmySmpyahk3b/8WFa7chlcnA43LxgVNHTPMdrdaiCWVd1ynf/YLIp1Eq9+3c4W3YvvcItu87itS0DPD5fBgZ6rMF9YH8PyT+2n0QZ85dQU6OBDo62mjbsjmmjB9RZNZ9cd4/r4G+HkIP/IXvf1mBa7fDy9yuK9TB8V1/4Lc/trGLJhTE6fe/iTAy1MfPy9axCxGYmhjDd/QQ+I4ZCo9hEyGW5EIiyYWhgT4c2rfGphXzS/wZPnwyhF3soOAc6379EfcePsHfew6ptb3w+MHcvDys+XM3Qs5fRW5eHlrZ2WLWNF/8tnE7bt2LgKmJMbzdXTB3xheVdp309XTV+jn5as4S3H0QidCDW4v8DGfniNV+L58IvoCFKzdimE9f/Pht6QmhTCbD0VNnEXLhGqLj4iGVysHn89CutR0mjxteZAzjf2fOYeP2fcjOFsNAXw9fTvgYH33owT4f8fg5tuw8gLsPIsHj8aCnq4M+rj0w+ZPhMDJUnSxXMN5+82+/4Lc/tuPx82hkVcOiCQAwcvJM6OnqInCdf5Hn9h87g71HgvDy9RsY6OuhmVUT+PTtjUUrN0JbSwv6+rrYtmZJuT4DqkLB54RMJocoK5uN7f3xt2v/2o0/dx7A5t9+Qc9uTmUet2B88OD+nkWGLRTcs9P7thS3a7XJzcvD5sD9CAq9CEluLoQ6OvDp2xtTJ4wqMs/k5t2H+PbnZfjAqQPWFppUCQAbt+/DvqOnoFQokZ4pYj8zgOLHvhZYtvYvnDp7GXl5UmTniNn3u1OHtkWGV8xbtg4Xrt7C6X+3VHgOTG1GySwhhJAGpyYTozvhjzBpxjysWTIH7j27Vfv5q4tMJsMw32/B4XJxNHBthScs1pZktq6Iio3H8InfYtEPX2Nwf8+aDqdK0TADQgghpBp16WSPhT98hXnL1rPDdeobhmGw4LeNyMzKxu+LfqixJWgbqpev3+B/s5dg0rjh9T6RBaiaASGEEFLthvTvg2bWTRF28XqRxVHqAw6Hgw8cO2D65HFq150mlefClVuY9b8J8HJzqelQqgUNMyCEENJgbNm5H3sOnWQXN2lkbIhPR32EyW+XISa1Fw0zICWhZJYQQgghhNRZNIiFEEIIIYTUWZTMEkIIIYSQOouS2VLIZDIEBARAT08PMTEx5dqXYRhIJBLQKA5CCCGEkKpTL5PZhIQE9O/fX60VkkqzadMmuLu7QywWl3vf3Nxc6OrqIjc3t+zGlSD27SpRpGbQ9a95dA9qHt2DmkXXv+bRPagZ9S6ZPXToEFxcXPDiRdGlAgtLSkrCJ598grZt26Jt27YYOXIk4uPjVdpMnz4dzs7OJRyhdsmthGVdiebo+tc8ugc1j+5BzaLrX/PoHtSMepfMBgQEIDg4GL169SqxjVQqhbe3N6RSKSIiIvDo0SPo6enB09MT2dnZ1RgtIYQQQgipiHqXzF6+fBmtW7cutU1gYCDCw8MREBAAPp8PHo+HgIAAREVFYePGjdUUKSGEEEIIqah6l8zy+WUvanbw4EHY2tqiRYsW7LbGjRvD3t4eBw8erMrwCCGEEEJIJWqQy9mGh4ejTZs2Rbbb2dkhNDS0BiIihBBSVzEMA4VCAblcXqNxKBXyapt0TIpH96D8Cr4hr8ik/QaZzKakpKBr165FthsaGkIsFkMikUAoFOLChQv4999/AQC//PILhg0bhqFDhxZ7TJlMpvJBJpFIqiR2QgghtYdUKkV8fHytmG+hUCrx9GnNx9GQ0T3QjL6+PqytraGlpaXR/g0ymVWXm5sb3NzcsH79+jLb+vv7Y+HChUW2P41+CR0dnaoIT4VSqcSTqLgqPw8pHl3/mkf3oOY1tHvAMAwkWRnQ1tKq0C/iSosHQMUKUpKKontQflKpFG/eJCLiUSSEBsZFemjbtrAt8xgNMpk1MzNDVlZWke0ikQi6uroQCoXlPubcuXMxe/Zs9rFEIoGpqSna2NlodLzyehIVp9YNJ1WDrn/No3tQ8xraPcjLy8OTJ5lo3rwZdHV1azocyOVyteaNkKpD90AzOjo6eP78OeysG0NbW7vc+zfIK96pUyc8fvy4yPbo6Gg4ODhodEyBQACBQFDR0AghhNQRBSs8crn1bi41IdWq4D2k6aqpDfIdOHz4cMTGxqosUZuYmIjIyEiMGDGi5gIrh8zkLCS8SGb/S32ZofI4M7lozzMhhBBCSH3TIHtmfX19sX79esyePRu7d+8Gl8vFnDlzYGdnh2nTptV0eGXKTM7CwuEbIMsteaURgY4Avxz6H4zMDaoxMkIIIQ3Fq1evMGLECFy/fp3tUduzZw/CwsLw119/1XgsddHr16+xefNmLFy4EDExMVi0aBFiYmIgFothZ2eHtWvXwtzcHACQlZWF//3vf3j8+DE4HA7s7e2xfv166Ovr1/CrKGrbtm1o164dXFxcquT49a5n1s/PD05OTjh27BgAwMnJCU5OTpBKpWwbLS0tBAcHg8fjwd7eHu3bt4dIJEJYWFit/CF4n1iUW2oiCwCyXBnEIioPQgghtZUiLxeJZ04gdtsmJJ45AUVe3frMtrKywt69e1W2jR49GqtXr66U43t4eGD79u0ax1KbLFiwAL6+vqW2yc3NxbBhw/DZZ58BALZv3w5jY2OEhYXh6tWr4PF4+OKLL9j2ixcvRmxsLK5du4Zr164hNjYWS5YsKXdszZs3x7lz58q9X3mMHTsWfn5+ePr0aZUcv971zK5YsUKtdpaWltizZ08VR0MIIYQUJXr0AA++nwa5KBMcPh+MXA6+oREcVm6Eob1mczdqAx6PVyc6hWqjdevWoUuXLmjZsiUAoEuXLujQoQMAgMPhYMyYMRgzZgzbPiIiAt27dwePxwMAdO/eHXfv3q3+wNWgo6OD6dOnY+bMmThx4kSlH7/e9cwSQgghtZkiLzc/kc0SAQwDRiYDGAbyLBEefD+tUntob926hQ8++AC9evXCtGnT4Orqinbt2uHYsWP43//+B2NjY8ybNw/Dhw+Hra0tFixYgIiICAwcOBDe3t5wcXHBli1bVI7566+/okOHDujfvz/7LSgAPHjwAE5OTmjevDm7LSkpCcOHD4ebmxt69uyJI0eOAABu3LjBtl2xYgXc3d3RqVMntufuxx9/xL1797Bs2TJ4eHiUmACVFAuQX//dz88PPXv2hKurKxYuXMgOQbhy5QpcXV3Rp08feHh44Pjx4+x+u3fvhrOzM/r06YM+ffqwiymVdDypVAoPDw9wOBxs2LABAwYMQMuWLXH48GEAwL59+7B9+3acOnUKHh4e8Pf3L/a1/Pvvv3Bzc2MfDx48mE1sgfyeWzMzM/bxgAEDEBYWhpycHIjFYoSFhaFHjx7FHjsxMRE+Pj7w9PSEq6srAgICAAATJ07EmzdvMGPGDHh4eOD27dsAgB07dsDZ2Rnu7u4YN24cRCIRgPw5Rzo6Opg/fz769+8PBwcHzJw5EwqFoszr6u7ujuDgYKSlpRUbY4UwpEqIxWIGACMWiyv92K+fJzFff7C4zP/ubQ5kpOlplX5+UtTjF7E1HUKDR/eg5jW0eyCRSJj79+8zEomE3fbq0F7msk9v5oJ7lxL/O+/qyJxz6VDif+ddHUvd/7JPb+bVob1F4pHJZCqP8/LyGGtra2bPnj0MwzDM3bt3GR6Px2zbto1t4+7uznh7ezNyuZx5/Pgx8+effzLXrl1jrl27xjAMw0ilUqZdu3bM06dPGYZhmBMnTjCNGzdmUlNTGYZhmB9++IEpnEqcPXuWadasGfvYy8uLmTdvHsMwDPP69WvGxMSEiY6OZtsKBALm4sWLDMMwzLRp05gvvvhCJbbCsb6vrFiWLFnCeHp6MnK5nJFKpYyLiwuzc+dOhmEYplu3buxrvHfvHjNhwgSGYRjm8uXLjKWlJZOUlMQwDMPs37+ffa604zEMwwBgli5dyjAMw+zbt49p06YN+9wvv/zCHqc4SqWS4fP5bEzFmTBhArN8+XKVbTNnzmQsLCwYc3Nz5osvvijyM1DAz8+PWbZsGcMwDJOdnc306tWLfa5Zs2bM2bNn2ceXLl1iTE1N2Wswa9YsZvLkySrtR48ezSiVSkYikTCdOnViNm/ezDBMyde1gJ6eHnPu3Lki8RX3XioP6pmtx2K3bcKVjzwQ/t2XeHPyKOTZVOGAEEKq0svd2yDLSINSmlfif4yi9GVvGYW81P1lGWl4uWd7mbFcvXoVSUlJ+PjjjwHkzyGxt7cv0m7gwIHg8Xho27YtpkyZgtatW+Pvv/9Gz5494e3tjYSEBPbr6/3792PAgAEwMTEBkD9GtiSvXr1CSEgIJk+eDABo0qQJXF1d8c8//7Bt9PX14erqCiC/bGZ0dHSZr6tAWbFs374dEyZMAI/Hg0AgwKhRo7Bz504AgImJCXbu3InExEQ4Ojpiw4YNAPInKg0YMICdZDV06FB2YnhpxyvQr18/jV5Lamoq5HI5DAyKn7R95coVvHjxAjNmzGC3+fv74/79+4iNjUVcXByioqJKHGNsYmKCoKAgREREQE9PD2fOnCkxlu3bt+Ojjz5ir8G4ceOwe/dulYl1o0ePBofDgY6ODkaOHMmOVy7puhYwMDBAYmKiOpekXOrdmFnyHoUC6dcuIf3aJTwVCGDi0hsW3gNg2ssdPJ2qX8yBEEIaEptPJiLmzz+gEOeU2IZRKEpNaDk8Pjhvx0EWh6erB5txvmXGkpCQAGNjY3ZMJQA28SvMyMhI5fF3332HjIwMXLx4ETweDx4eHhCLxewxHR0dSz1egfj4eADAZ599xq7qlJKSolLP3dDQkP23jo6OymRtdV5fabHEx8dj1apV2LZtGwAgOzsbxsbGAPKrLixbtgxdunSBg4MDli1bBicnJ8THx6NTp07sMfh8PvvVfWnHe//16OjoQCYrfaJ2YQWJ4vurXwFAbGws5syZgwMHDqjUs1+7di3WrVvHrjL65Zdf4uuvv8aUKVOKHMPPzw96enoYPXo0+Hw+5s6di1GjRhUbS3x8PB49egQPDw8A+QtBWFpaIjU1lR3m0KhRI7a9qakpEhISAJR8XQtwOBwolUq1r4u6KJmtx4w6dwPn4Xkw8vwPTUYmQ+qFMKReCANXKISZqyfMvQfApHtPcLW0oMjLRcr5UOS+egkdKxuYufcFT7vql+IlhJD6oumw0Wg6rOTeSiB/zOy1oV75Y2YL/2LncsE3MITLkVBwNVgF6X1NmjRBRkaGyqpUqampZe5348YN/O9//2OT4MJJWZMmTZCcnMw+Lu14NjY2AIADBw6wvXy5ubmQy0vvmVZXWbHY2Njg559/ZpM2pVKJjIwMAPmrty1fvhy//vorli9fjiFDhiA2NhY2NjYqx5TL5YiIiICjo2Opx6soU1NT8Hi8IquTpqSk4NNPP8X27dthaWmJuLg4WFpaQltbG1KpVCW5FQgExa5uCuSPXZ4+fTqmT5+OkJAQDBo0SGWyWWE2NjZo0aIF/vjjD5U4Co/XLTzuNSUlBU2aNAFQ8nUtkJWVBUtLy3JenbLRMIM6SNdQBwKd0lcbE+gI4LRwCVyOn0ebOQtg/IEzUGiVGqVEgqTgk4j44Wtc/cgDD3/4GlcHuePxwjmI3b4ZjxfOwbWhXhA9elDVL4cQQhoUnrYOHFZuBN/AEOBwwBEIAA4HfANDOKzcWCmJLAC4uLjAwsIC+/btAwDcu3cPz549K3O/Vq1a4fr16wDyez/Dw8PZ5z7++GOcPHmSTRxLqwrUtGlTeHt7q3wV/+WXX+Ls2bNqxW9gYACxWIxnz57Bz8+vyPNlxeLr64s9e/awk5MCAwPZyVcjR46EWCwGn89Hr1692Da+vr44efIkUlJSALybvFXW8dR9LQzDYNiwYUWe53K56NChg0ril52djREjRmDRokWwsLBAdnY2Nm3axPaCenl5Yd++fWAYBgzDYM+ePfD09Cz2/AUT6gCgR48e0NLSYnuDC2I7e/Ys1qxZA19fX5w4cQLp6ekAgCdPnuCjjz5SOd7BgwfBMAwkEgn279/PVlko6boC+X9sSCQStkJDpdJopC0pU1VOAGMYhslIEjGvnycxxzaEsRO+di/+j3n9PIl5/TyJyUgSFdknLyWZid+/m7nzxSelTj5g/+vlwFzq34uR52o2ILshaWgTX2ojugc1r6Hdg4pOWpHnSpg3p48zMVs3MW9OH6/wZ21xk39u3LjBdOnShenVqxczY8YMpnfv3sz27dsZhsmfFGRkZMS0bduWWblyJbtPZGQk07VrV8bZ2ZmZOHEi4+DgwLRt25YJDQ1lGIZh/P39mfbt2zNeXl7Mr7/+ygBg3N3dmXv37jGOjo6MtrY2M3LkSIZhGCYxMZEZMWIE4+rqyri6ujL+/v4MwzBMREQE2/aLL75grl+/zrRt25YxMjJi/Pz8GIZhmEOHDjFt2rRhunXrxoSFhRX7mkuKJS8vj5FKpczs2bOZHj16MB4eHsz48eOZnJwchmEYJiAggHFxcWE8PDyY7t27s6+NYRhm586djLOzM+Pu7s6MGDGCyczMZBiGKfV43t7eDACme/fuTEZGBtOjRw8GAOPt7c0wDMM8e/aMsbe3Z5ydnYtM4iqwaNEi5ttvv2Uf//TTTwyAIv8VTKBLTExkPv74Y6Z79+5Mt27dmBEjRjCvX78u9tjHjx9nevfuzXh6ejJdunRh1qxZwz63bt06pn379kyPHj2Yhw8fstegR48ejKenJ/Phhx8yT548Yds3a9aMWbp0KdO/f3+mQ4cOzLfffsvI5fIyr+vhw4cZT0/PYuOr6HuJwzB1eKmMWkwikUBXVxdisRhCYdWNTb116iEC5x0BALiO6IrRc3zU2i834TWSw04hKTgI2U8jS23b/IvpsJ3wRbFjeUi+J1FxaNvCtqbDaNDoHtS8hnYPcnNz8fTpU7Rp04Ydt1iTCg8nKJCWlqYylrRDhw747bff4OOj3u8KUj7F3QN1ZWVlwd3dHSdOnGC/tq+Nmjdvju3bt7NjatUhl8vh7e2N33//XWUMbYGKvpdomEEdJzR4d9Ml2erXJtRp0hQ2n0xC1+37YTXqE5UhCO+L2bION8cMQvSf65ET/aJC8RJCCKk+48ePZ78yv337NhISEkqsRUpqloGBAfbt24fff/+9pkOpdNu3b8cPP/xQbCJbGWgCWB0n1H83tkqSpVmhbYMOnYADpa+GJnkZi7htmxC3bRP0WraGuZcPLPr2h9C64fTCEEJIXePt7Y3+/ftDT08PeXl5OHDgQKkVCEjNat26NZYvX17TYZRo+PDh7CILf//9N7p27arWfsVVWKhMlMzWcSo9s1l5Gh3DzL0v+IZGRWfWcjjgCrTAMzCALDWF3Zzz4hlyXjxDzOa1MLB3gIWXD8z7fght83czFKkyAiGE1LyZM2di5syZNR0GqScOHTpU0yEUi5LZOk5Xw2EGhRXMrC1pnXCDtvbIvH8bSSFBSD4bDHlmBrtv1qMHyHr0AC/WrYCRY1dYePtAp6k1IhfMrndrjhNCCCGk9qFkto4r3DMr1nCYAQAY2jvA+UjI297UeOhYWav0php36Q7jLt3R6rufkH7zGpJDgpByPvRdYXCGQea9W8i8d0vluMzb+oQFa447HwmhHlpCCCGEVBpKZus4gTYfPD4XCrlS4zGzBXjaOrDsN7DUNly+AKYuvWHq0hvKH/KQdu0ikkKCkHrpPJR5pZxfqYRclImU86FlnoMQQgghRF2UzNZxHA4HQgMdZKeLIcuTQyaVQ6BVPbeVq60NM3cvmLl7QZ6Tg9TL5xC7dSMkcTHF78AweLnzb/CEujDp0QtcLa1qiZMQQggh9Rcls/VAQTILALnZeRCYVP9t5evpsT2ujxfOAUooX5zz4ikiZk8HT98A5u59Ye49AI26dAdHw7p8hBBCCGnYqM5sPSDUL1zRoGJDDSqqoDJCaXVrAUCRnYU3J47gwYwvcHVwHzz7bQky798BU7iaAiGE1EOZyVlIeJFc4n+ZyVmVcp7Dhw/DyckJAoGAXcoUAOLi4uDh4QFjY2MMGTKkUs5VnY4fP44jR44AAP777z/069cPffr0QZcuXbB27VqVtleuXIGLiwvc3NzQpUsXdmna2sjPzw8ZGRk1HUadRN1h9YCuwbtas2INKxpUltIqI7T9aQkkL6PzVx178ojdR5aRhteH9uL1ob3QtrCEed/+sPDygX67DuyqY1TqixBSH2QmZ2Hh8A2Q5cpKbCPQEeCXQ/+DkblBhc41bNgwNGrUCF5eXpg0aRJu3LgBPp8PW1tbnDt3Dh4eHjh69GiFzvE+TVaHKo8LFy5g06ZNOHbsGID80mP79+9H586d8ebNG3To0AHNmjXDkCFDwDAMhg8fjsWLF+Pzzz/Hs2fP0KFDB3Tv3h329vZqn/PcuXPw9fVFTExMlbymAsOHD8fo0aNx6tQpWnGznCiZrQdUa83WbDILlFUZwQM24yZCHBeD5NBTSAo+CXFMFLtvXlIi4v8JRPw/gRBa28Lcywd6dq3wbJU/lfoihNR5YlFuqYksAMhyZRCLciuczBaYPHky9u/fj4CAAMydO7dSjllTpk2bhq1bt4L79tu/r776Cp07dwYANG7cGJ6enjhz5gyGDBmClJQUJCYmwsXFBUD+ggSNGjXC/fv3y5XMVhcXFxdwuVwcOHAAo0aNqulw6hQaZlAPFB5mIBbVfDILvKuM0GziVFj2G1ikF1XXtjmaTfwSH+w+iq47DsLmsynQaWqt0kYSH4e47ZsR+Ytffm1bhskv9cUwbKkvRWkVFAghhKBJkyZYt24dFi9ejEePHpXYbsWKFXB2dkbv3r0xffp0SKVSPH/+HK1atYKFhQX8/f0BAHPnzsXs2bMBAH///TcsLS3x/fffY+LEiezqUB4eHrh9+zYAYMeOHXB2doabmxuGDx+OxMREAMCiRYvQuHFjfP311/j000/RsWNHTJgwocT4IiIiEBMTgw8++IDd9v6CELm5uTA3NwcAmJubo1u3bmwv7vXr15Genl7iqlVHjx6Fi4sL+vbtC29vb1y9ehVPnjzBjBkz8ObNG3h4eLBJZnZ2NiZNmgRXV1f07NkTmzZtAgDcuHEDTk5OaN68OebOnQt3d3d06tQJp0+fZs+zcOFCuLi4wNPTE6NHj0ZCQgL7nLu7O/bu3VviNSDFo57ZekBYCQsn1BQOhwP9Vm2h36ot7KZ+i6xHD/IXZwg9BWlKcsk7KpWQZ1KpL0JI7XLp4G2c2HweeWJpsc8zyuInx75v+ad/gcMt/qtmbV0tDJzqDtcR6i0lCgCffPIJDhw4gEmTJuHKlStsz2aB3bt3Y+vWrbh9+zaEQiFGjx6N5cuX4+eff8amTZvw1Vdfsb26p0+fRl5eHgICAjB58mScOXMGK1euBACcPXsWq1evZocZXLx4EbNmzUJERATMzc2xZMkSjBs3DqGhoZg/fz6ioqJw+fJlXLt2DQzDwMrKClevXmV7Uwu7c+cObG1twePxin2NIpEIN2/exB9//MFuO3ToEAYOHIjAwECkpaXhwIEDaNOmTbH7f/7553jw4AEsLS1x9OhRnD59GgsWLMDq1avh6+uLc+fOsW1nzpwJhUKBS5cuISsrC46OjujYsSOcnZ2xevVq9OnTBz179oS/vz+uXLmCDz/8EDExMUhMTMS+ffsQEREBDoeDmTNn4smTJ2jSpAkAoFWrVti8ebN6N5WwqGe2HhAWGjOr6ZK2tQGHw4Fhh05o9e1sOB8OgeMf26DfrkMpezCI3rQGrw/thTQ9rdriJISQkoTuvPquVGIx/8llCrWOI5cpSjxGdroYobuulTu2TZs24fnz5/j999+LPLd9+3aMGTMGurq64HA4GDt2LHbu3AkAcHNzQ0JCAp4/f45Xr16hS5cuePr0KV6+fImoqCi0aNGixHPu2LEDgwYNYntLJ06ciLCwMMTFxbFtPD09oa2tDR0dHbRu3RrR0dHFHisxMREGBiUPvZg9ezbmz5+PZs2aAQCkUin69++Pr776Ck+ePEFoaCi+++47lXMXZmJigj///BMZGRn46KOPMGfOnGLbKZVK7Ny5E5MmTQIAGBgY4KOPPmKvV8G2gQPzO1p69uwJCwsLnDhxAgYGBnjz5g0OHToEmUyGgIAAuLq6quxX0HNN1EfJbD1Qm6oZVBYOjwfjzt1gPeYzoJSB8HlvXuPZb0twdbAnwmdOxZsTRyDPElVjpIQQ8k7fT12g30gXAm1+sf/xBcX3Kr6PL+CVeAz9RrroO9653LFZWlrijz/+wLx58/D8+XOV5+Lj47Fnzx54eHjAw8MDAQEBbO+tlpYWvL298d9//+HkyZMYM2YMevfujRMnTuD48eNs0lac+Ph4NpEFwP47Pj6e3WZoaMj+W0dHB1JpCb3aDFPixKgtW7ZAIBDgq6++YreFhoYiJiYGn3/+OQCgU6dOaN++PTZu3FjsMYKDg/Hq1Su0a9euyNf/hSUnJyMvLw8//PADe73Onz+PvLx3nUmNGjVS2cfU1BQJCQmwsbHBiRMnsHPnTtjY2ODHH39Ueb0cDgdKqupTbjTMoBQymQyrVq3CokWLEBERgebNm9d0SMXSrcPDDMpSUOpLniUCSnuDKxRIv34Z6dcv4+lyAUyce8PC2wemvdzBE+pWX8CEkAbNdUTXUr/+T3iRjF/HlP018g87p6BJS/My25XX6NGjceDAAUyePFklMbSxsYG3tzf8/PzYbSkpKey/Bw0ahF27dsHW1ha+vr4YOHAgTp48CT09PZUE8n02NjZITn43ZKzg39bW1iXtUiILCwtkZRUtW3b48GGcPXsWe/bsAQA8e/YMrVu3hlQqBY/HU3mdAoEAIlHxHR58Ph8bN27EqlWrMGvWLPj6+uL8+fNF2pmbm0NbWxvr169Ht27dAOTnC2KxmG2Tnp6usk9KSgqaNGkCsVgMe3t7HDlyBG/evMHw4cMREBCAhQsXAgCysrJgaWlZzitD6lzPbEJCAvr3718tZSs2bdoEd3d3lR/Q2qjwmFlxPemZLVBQ6otvYAhwOOAIBACHA76RMTqt34Z2CwJg6uqhsugCI5Mh9WIYIuf74cpAdzya74eUi2ehfPvXryIvF4lnTiB22yYknjlBk8gIIQ3Khg0bEBkZqbLN19cX+/fvR25u/ufh2bNnMXXqVPb5AQMG4PLly+ByuRAIBBg0aBBCQ0MhFApVxrAaGBhALBbj7NmzWLNmDXx9fXHy5Ek2MQ4MDESfPn1ga2tb7rg7deqEly9fgim0KM+FCxewdu1arF+/Hjk5OcjOzsaSJUsAAM7OzlAqlTh58iQA4PXr1wgLC0OfPn2KPf6gQYOgUCggFArRvXt3KBQKldcEANOnT8erV6/w2WefqQwrWLJkCXbs2ME+FovFOHHiBADg0qVLSE5OxsCBA3Hjxg388ssvAPKrL7Rt25Y9DwDExMSgU6dO5b42DV2d6pk9dOgQvvvuOwgEglLbJSUlYebMmbh16xYAwMHBAatXry73X4LTp0/XONbqJNSvH2NmS1J6qS/Ast9AyESZSLkQiqTgk8i4fYPtxVXmSpAcEoTkkCDw9A1g7NgFGXdvQSERU5kvQki10zXUgUBHUGadWV3DitfRPnz4MBYuXIiMjAxwuVzMnz8fQH7P4qZNm7Bu3Tq27bhx45CQkAB3d3fo6enB0NAQW7ZsYZ+3tLREp06d4O7uDiC/zJWVlRW8vb1Vzjl16lTMmjULhoaG+Pvvv9GhQwf89ttvGDRoELS0tGBmZsb2oK5atQqnTp2Cjo4OHB0d8eDBA9y7dw/Lli2Dra1tkaSzc+fOsLCwwP379+Hk5AQAGDt2LF6/fg0zMzO2XUGMlpaWOHjwIObNm4elS5ciKysLP/74I0aMGFHs9XJ3d0fv3r2hpaUFhULBTiQrmNzl4uICa2trWFtbY9WqVZgxYwZ69uwJgUCAzp07Y/78+WyibWVlhXv37mHFihVITU3F/v37YWpqinbt2uH169dwd3eHXC6HpaWlyhjmixcvUlkuDXAYpoR1R2uhHj16YNeuXfD390dgYCCKC10qlaJbt25o06YN/vnnH3A4HHb25t27d6Gvr1/u83I4HERHR5drmIFEIoGuri7EYjGEQmG5z1keCVHJ+HV0/tdWzR2s8P3WiVV6vtpOmpaC5LPBSAoJguj+nbJ34HLBNzCE85EQjRdieBIVh7Ytyt/TQCoP3YOa19DuQW5uLp4+fYo2bdpAR0f9z47M5KxSyyjqGupoVGNWLpeDX8+XBj9x4gR27NiBffv21XQoxZLL5bh06ZJGiyw8ePAA//vf/3Du3LkSKzbUV5q+lwrUqZ/6y5cvl/lGDQwMRHh4OA4fPsy2DQgIgJWVFTZu3MiOBxo8eDDCw8OLPcbevXvh7Fz+wfU1RbeWLZpQ07RMzGA1YiysRoxF7psEJIedQlJIELIfl1BfUamEPDMD8Xu2w9Z3Kq28QgipUkbmBpW2IEJDM3DgQKSkpODw4cMYNmxYTYdTqTZt2oT9+/c3uES2MtSpZFadvzgPHjwIW1tblVIhjRs3hr29PQ4ePMgmswVFlOsD1RXA6t8wg4rQadwENuMmwmbcRDxfvQyvDuwpcSJZzJ/r8ebkUVh4+cDCewD0WrSq5mgJIYSUpbSFFWrajRs32EUWRo0ahf3796u9b+H6uKR86lQyq47w8PBiCyLb2dkhNDS0ys4rk8kgl8vZxxKJpMrO9T6BNh9cHhdKhbLeVTOoTAb2DkAZo2pyX71EXOAWxAVugV6L1jD36g8LLx8IrRvOV6eEEEI00717d9y7d6+mw2hw6l0ym5KSUuxSdYaGhhCLxZBIJGqPYb1w4QL+/fdfAMAvv/yCYcOGYejQocW29ff3Z0trFPY0+qVG4z/KS1tPAIkoD7I8OSIeR4OvRV9TvI+xbQOOnj6YnByAKdQ7y+EAfEH+cxnvFl/IiXqGnC3PELNlHQQt2kDH2Q06PdzAM3030YCR5iH31hXI37zGvcZNofNBT3C0tEGqn1KpxJOo4ouhk+rR0O6BUiGHQqmEXC5X6cyoKQxQK+JoyOgeaEYuz38vRb98DS5PNTVVZxx+vUtmK5Obmxvc3Nywfv36MtsWXqsayO+ZNTU1RRs7myqfAAYAWnpakIjyhxjYmJvD0LT8E90agqart+DB99MgF2UWqWZg0K4DMu/fzl9ON+wM5JkZ7H6yqKeQRT1F1p6/YOTYFRbePtCxskHkgtmQizIBHg9QKJBDlRFqTEObfFQbNbR7kD9pJRt8Pr9WTLxqCBPAaju6B5rh8/ngcbmws2la/yeAqcPMzKzYosoikQi6urpVllgKBIIyS4ZVJW1dLfbfkqw8SmZLUFaZL+PO3WDcuRtazfwRGbeuIykkCCnnQ6HIyWaPkXn/NjLv31Y98Nu/xOVZIjz4flqFKiMQQgghRH31Lpnt1KkTHj9+XGR7dHQ0HBzqb2+Ztl6hZJbGzZaKp60Dy34lL78IAFy+ACbOrjBxdoXSbz7Srl1CUshJpF46D2VpiywolZCLMpFyPrTMcxBCCCGk4urcCmBlGT58OGJjY1XquyUmJiIyMrLEQsn1gWrPLCWzlYmrrQ0z976wX7wSPU9cQPsFyyG0bV7yDgyDuB1/IeVCGLvqGCGEEEKqRr1LZn19feHg4IDZs2dDLpdDqVRizpw5sLOzw7Rp02o6vCqjVahntr4taVub8HR1YdFvAJpNmpY/cawE4qhniJjzDa4McscT/5+Rdv0yGJoUQAipxRYtWoTGjRtjwYIFNR1KpcvKysL48ePh4eFRoeMwDAM/Pz9069YNXbt2VVnSFgAyMzMxZcoUuLq6wtHREf3796cJYdWgTiWzfn5+cHJyYmvEOjk5wcnJCdJCvV9aWloIDg4Gj8eDvb092rdvD5FIhLCwMI1W/6orVHpmaZhBlTNz7wu+oRHALf0tpMjOwpsTR/Bg5lRcHdwHz1YsRsbdW2BKqHVLCCGVycPDA9u3b1er7fz589G/f/+qDagGZGZmYujQoZWSA2zevBm3b9/G9evXcfr0acyaNUtlAabPPvsMw4YNw6VLl3D37l3o6OhASZ/3Va5OjZldsWKFWu0sLS3ZtZ8bCpUxs7RwQpXjaevAYeVGtjJCQTUDvqER2s5dAklcdJFVx2QZaXh9eB9eH94HLXNLWPTtD3Ov/jBo35FddUyRl/t2ctpL6FjZqExOI4QQUn58Ph8HDhzA0aNHi51TUx6bN2/GzJkzweVyYWZmhkGDBuHPP//EunXrcPv2bSQnJ2PgwPz5ElwuF0eOHKmEV0DKUqeSWVIybd13lRRozGz1KFwZIf7hQ1h37Fgo+fSAzbiJEL+MRXLIKSSFnIQ4+gW7rzQ5EfF7AxG/NxA6Vjaw8PKBXotWeLbq12LLhlGpL0JIef3444+4d+8eli1bhu3bt8PPzw8DBw7EqVOnsGjRIvD5fAiFQqxfvx6tW7cu9hi3b9/GzJkzweFwwOfz8ccff6Bdu3bYsmULfv31Vzg7O8PAwAA3b96EsbExjh8/jmnTpuHNmzfIzc1Fx44dsW7dOvD5fCxatAgbNmzAyJEjkZmZibt376Jr164IDAxkz7d7926sW7cOurq6APLLXvbt2xcymQw//fQTLl++DC6XC29vb8yfP1+t5cf19PSgp6dX4vMvXrzAtGnTkJeXB6VSiYCAAPTs2bNIu7y8PISHh6Ndu3bsNnt7exw4cAAAEBoaiubNm2P69Om4ffs2TE1NsXTpUnTs2LHMGEnFUDJbT2hRNYMaUVAZIaOVAyyLqa+pa9MMzSZOha3vF8iJeobk4CAkhQQh93U826Zg1bHCGJkMAJX6IqQucl03udjtJrqGODb5dwBAUnYahm/zK7ZdW3Nb/D3mFwBAxJsXmLr/V5XnL03/W604li5diqtXr8LX1xe+vr4AgKioKIwcORJ37txBmzZtsGvXLnz00Ud4+PBhkfqomZmZ6N+/P/bt24c+ffrgxIkTGDJkCCIjI/HFF1/g9evX2LRpEx48eABTU1P8+OOPkEql+PDDDzF+/HgA+fNYAgMDMXnyZMyfPx9RUVG4fPkyrl27BoZhYGVlhatXr8LFxQVXrlzB999/jwcPHsDc3BwHDhzAzp070bdvXyxfvhy3b9/GxYsXoVQq4e7ujpYtW7Ln0ZRcLsegQYPg5+eHSZMmITw8HH369EF0dDQMDAxU2qakpECpVMLIyIjdZmxsjKSkJABATEwMDh8+jP3792PdunXYtWsXPD09ERUVVeRYpHLVqTGzpGTaNAGsVuNwONBv2QZ2X36L7vuD0Pmvf2A1+jNomVmUvqNSCXlmfqkvQgipqH/++Qfdu3dnl30fO3YsYmNjceXKlSJtjx8/Dn19ffTp0wcAMHDgQLx58wbXr19n27i4uMDc3BxcLhcBAQFo1KgRYmNj4erqCg8PD5w7dw63b6vW5fb09IS2tjZ0dHTQunVrREdHAwC2bduGAQMGwNzcHAAwdOhQduL29u3bMWHCBPB4PAgEAowaNarI5CtNXL9+HS9evMCnn34KIL+8p5WVFY4fP17iPu/3BjNvl0nPy8uDra0tu1Lo+PHjoaWlhf/++6/CcZLSUc9sPfH+ogmk9uJwODC0d4ChvQNaTp+FzPt3ELX+N2RFPixhDwbRm9ZAnpUFc09vaJmYVmu8hJDyUafn1ELfRK12HRq3VLsnVh3x8fFssggAPB4PjRo1Qnx8fLFt09LSVCoAmJubIzU1lX1cuJcSAAIDA7F582bcu3cPJiYmWLBggUqpTCB/efkCOjo67CTu+Ph4dOrUiX2Oz+ejR48e7HOrVq3Ctm3bAADZ2dkwNjYuEvObN28wZswYAEDjxo2xd+/e0i4H4uPjweFw4O3tzW7Ly8tDZmYmTp06hWXLlgEA+vfvz46VzcjIYNtmZGTAwiK/U6JRo0bsvwtYWVkVe21J5aJktp6gRRPqJg6XC+POH8Bq9Kd4vHAO8PYv/PflvXmN5yuX4Pnvv6JR1x6w8B6QX1HBwLDY9oQQUhwbGxs8efKEfaxQKJCeng5ra+ti21pbW+PcuXPsNpFIVOpyozdu3ED37t1hYmICAJC9HTKlbmzJycnsY7lcjoiICDg6OsLGxgY///wzRo0aBQBQKpUqSWWBxo0bq8SrzjkFAoHKPjk5OeByuRAKhUWqOzg4OODJkyfo3r07AODRo0fo1q0bgPwKS+9P+EpOTkbTpk3VjodohoYZ1BNatGhCnaZuqS8olUi/eRVPfp2HK4Pc8fCH6UgKPgmFRFw9gRJC6hQDAwOIxWI8e/YMfn5+GDt2LG7duoXnz58DAPbt24dmzZoVO+Fp0KBBSElJwc2bNwHkJ3menp7IzMws8XytWrXC/fv3kZeXB7lcjtBQ9YdI+fr64uTJk0hJSWFjKygr5uvriz179kChUADI7wH29/dX+9gl6dGjB2xtbXHo0CEA+Qn00KFD8fTp02Lbf/nll9i+fTsYhkFqaipOnDiBKVOmAACGDBmCrKwsNjE+e/YssrKyMGjQoArHSUpHPbP1BJXmqtveL/VVuJpBB//VkKYmISnkFNKuXWQnhzEyGVIvnUXqpbPg6ghh2ssdFl4+MHHpDa6WFpX5IoRg0qRJmDNnDrZv346AgADY2dnhwIED7PhToVCI//77j602cOrUKejo6MDGxgaTJ0/GyZMn8f3334NhGDAMg4ULF8Lc3Bx79uzB9u3bkZubi88++ww7duwAAEydOhUXL16Ek5MTOnbsiCZNmuDUqVNYtWoVALDHd3R0xIMHD9hqC7a2tujTpw9+++03fPTRR9DW1oaZmRm2bt0KIL/O/Lx589CrVy8IhUJYW1tj8+bNal+HUaNG4cGDB3jz5g08PDywfPlydO/eHTweD//99x+++uorrFmzBkqlEhMnToSjo2Oxx5k6dSpevHiB7t27Q6lUYsWKFWxbAwMDHD58GN999x14PB74fD6CgoKKHQ5BKheHYUr4XpNUiEQiga6uLsRiMYRCYZWf7/GLWGwavxsKuRICbT5WXZpT5eck7zyJikPbYqoZlNe7BDQeOlbWRRJQeZYIKedDkRQShPTb14G3vRSF8fQNYNSpCzLv3YJCIm4wZb4q6x4QzTW0e5Cbm4unT5+iTZs2pX71Xl3kcnmRigSketE90ExF30t0xesJDocDoYEOstPFkOXJIcuTQ6BNt7euKSj1VRK+gSEaDxqGxoOGQZqWipRzwUgKDkLm/XezhRXZWUi7cp59TGW+CCGE1Gc0ZrYeERq8S1BoElj9p2ViiqbDx8BpYyCcj4SgxXQ/GLQvpTi3Ugl5ZgZe7tkO+kKGEEJIfUHJbD0i1C+UzNK42QZF26IxbMZOQJe/98Lq4/GlTiSL/XM9bozyQfSmNch58awaoySEEEIqH30PXY/oGmiz/6ae2YbLwN6hxBJfBXJfxyNux5+I2/EndO1awcLLBxbePhBaN5zxjoQQQuoHSmbrEZVhBlSeq8EqKPMlzxIBSuW7JzgccAVa4BkaQZaSxG4WRz9HzJ/rEPPnOui3s4eF1wCY9/0QOpZN2DZUGYGQogpWglIWfp8RQsqt4D30/upq6qJkth4pPMyAlrRtuEor8+WwciMM2nVAZvhdJIcEITnsDGQZaey+2Y8fIfvxI0St/w2Gjl1g4eUDoZUNIhfOKfZY9bUyAiHq0NLSAo/HQ1xcHJo0aQItLS2NfxlXBppJX/PoHpQPwzCQSqVISEgAj8eDlpZW2TsVg654PUITwEgBQ3sHOB8JKbHMl7FTVxg7dUWrGXOQfvt6fmJ7PhSK7Cz2GKL7dyC6f0fluFQZgZB3OBwOWrdujfj4eMTGxtZ0OFAoleCVtfAKqVJ0DzSjr68Pa2tr6pklgLDwmFmaANbglVXmCwA4fD5MevSCSY9eaO03H2nXLiEpJAipl85BmSspeUelEnJRJlLOh5Z5DkLqMy0tLdjZ2UGhUEAul9doLNEvX8POhpZOrUl0D8qPz+eDx+NV6FsNSmbrEdVqBtQzS8qHq6UFM7c+MHPrA4VEjNRL5xDz90ZI4qKL34FhELfjT/C0tWHi3Btcbe3i2xFSz3E4HPD5/Br/epnL49eKxRsaMroHNYOS2XpEl4YZkErCE+rCwnsAGIbB44VzSqyOII56jogfZ4Cnpw8z976w8PKB8Qc9wOULqjliQgghDRUls/VI4TGzNAGMVIYSKyO8R5GTjcSTR5F48igExo1g5ukNCy8fGDl2BYfGjxFCCKlClMzWI0J9GjNLKldplRHa/bwE4rhYJIcEISvyIbuPLCMdCYf/RcLhf6FlZgHzvv1h4e0Dg/Yd2TFRVOqLEEJIZaFkth6hagakKpRWGcG0F2AzdgIk8XFICglCcsgp5ES9W1VMmpKEV/t24NW+HdBpag0LLx/otmyF56uWUqkvQgghlYKS2XpElxZNIFWkrMoIQmtbNPOdima+U5Hz4hmSQk8hKfgkcl+9ZNsUrDpWGJX6IoQQUlGUzJZgxowZEIlEaNSoEe7du4eJEydi/PjxNR1WqVRXAKNhBqRm6LVsDbuWrdH886+R/Tgiv8c29BTykhJL3kmphDyTSn0RQggpvzqVzCYkJGDixIk4ffo0mDLWnq8ogUCArVu3AgCuX78Od3d3jBkzpsZLr5RGoM0Hj8+FQq6kYQakxnE4HBi07wiD9h3R4qvvkRl+F1HrVqiMr1XFIHrTasizRDD39IaWiVm1xksIIaRuqjPTjA8dOgQXFxe8ePGi1HZJSUn45JNP0LZtW7Rt2xYjR45EfHx8uc+3YsUK9t9PnjyBvb19rU5kgfzkoaB3VpYnhyyvZgt4E1KAw+XC2KkrrEZ/CpRSGDvvTQKer/TH1cF9cP/bKUg4fggyUWY1RkoIIaSuqTPJbEBAAIKDg9GrV68S20ilUnh7e0MqlSIiIgKPHj2Cnp4ePD09kZ2dXe5z3r9/H6NGjcKaNWtw4MCBioRfbWgSGKnNCkp9oaxyXUolMm5ew9Nf5+PqIHc8/OFrJJ05CYVYXD2BEkIIqTNqd1djIZcvXy6zZzQwMBDh4eE4fPgw2zYgIABWVlbYuHEj/Pz8AACDBw9GeHh4scfYu3cvnJ2dAQCOjo7Yv38/rl27Bjc3N9y/fx+mpqaV+Koqn+oqYHkwNNWvwWgIUVVaqa8Ov66GNDUZSSFBSLt6kZ0cxsjlSL10DqmXzoGrrQNTV3dYePmwq44VlPnKfvAAiQ4OVOaLEEIamDqTzKrzFf/Bgwdha2uLFi1asNsaN24Me3t7HDx4kE1mjx07VupxFAoFJBIJ9PXzE0FnZ2cIhUKcP38ew4cPr8CrqHq6BoVqzVLPLKmFSiv1BQAWXj6QZ2ch5XwokkKCkH7rGqBQAACUeblIDj2N5NDT4Onpw8ixCzLv3YZCIgZ4PDw+tJvKfBFCSANTZ5JZdYSHh6NNmzZFttvZ2SE0NFTt47x8+RJz5szB3r17AQCpqal48+YNWrZsWeI+MpkMcvm7MaoSiaQckVceIZXnInVAWaW++PoGaDxwKBoPHAppehpSzgUjKTgImfdvs0vrKnKykXblwrud3r7/qMwXIYQ0LPUqmU1JSUHXrl2LbDc0NIRYLIZEIoFQKCzzOCYmJmAYBr6+vjAxMUFkZCRWr14NR0fHEvfx9/fHwoULi2x/Gv0SOjpV/wtVqVTiSVQc8ph3CfWLF/HgWgqq/Nzk3fUnVcTRBUJHF2ilpiD3xkXkXjsP2YunxbdVKiHPzMDd9auhP3Qsu+oYqXr0PqhZdP1rHt2Dyte2hW2ZbepVMltZDA0NsW/fvnLtM3fuXMyePZt9LJFIYGpqijZ2Nmol0BX1JCoObVvYIrLpMzxC/gpMxrr6av0QkIoruP6kirWwBbp1Ab76Fs9XL8OrA3sApbLYpjkHd0Fx9RzMvfrDwssHei3bUGJbxeh9ULPo+tc8ugc1o14ls2ZmZsjKyiqyXSQSQVdXt0qTSoFAAIGg5ntBhYXHzNLCCaQeM7B3YIcclCT3dTxe7vgLL3f8Bd3mLWDhPQDmfftD17Z59QRJCCGkytWrZLZTp054/Phxke3R0dFwcGgYk0FUqxnQmFlSfxWU+ZJniVR7ZzkccAVa4BsZQZqcxG4Wx0Qh5s/1iPlzPfTb2sPCqz/M+/pAp3ETtk1BZYTcVy+hY2VDlREIIaQOqFfJ7PDhwzF16lTExMSgefPmAIDExERERkZi6dKlNRtcNdGlOrOkgXi/zBd4PEChYKsZGLTrANGDe2+X0z0NWUYau2/2k0fIfvIIUX+sgmGnzrDw8oHQ2haRC+cUKRlGlREIIaR2q1fJrK+vL9avX4/Zs2dj9+7d4HK5mDNnDuzs7DBt2rSaDq9aFK5mIKaeWVLPFS7zFf/wIaw7dlTpTTVy7AIjxy5o9e1spN+5geSQICSfC4Ei+91wJFH4XYjC76oct6DGLVVGIISQ2q/OrADm5+cHJycntkask5MTnJycIJVK2TZaWloIDg4Gj8eDvb092rdvD5FIhLCwMLZmbH0n1Kcxs6RhKSjzpT90LCz7DSw26eTw+TDp3hNtf1qMnsfPo0PAOlh4DwBXp4xx9Eol5KJMpJxXv7QfIYSQ6lVnemZXrFihVjtLS0vs2bOniqOpvWg5W0JKx9XSgllvT5j19oRCIkbqlQuI+esPSGKji9+BYRAX+Ce4WlowdXEDV1u7+HaEEEJqRJ1JZol6dGnRBELUxhPqwqJvfzAKBR4vnFNidQRx9HM8+mkmeLp6MHPvC3MvHzTq5gwuv+YrmBBCSENHyWw9o7oCGA0zIEQdJVZGeI9CnIPEoGNIDDoGvpExzD29YeHlAyPHruDweNUYMSGEkAKUzNYzAm0+eHwuFHIlDTMgRE3vV0YoXM2g3Tx/SOJikRQShKxHD9h95JkZSDiyHwlH9kPLzBzmfT6EhfcAGNg7sIszUKkvQgipepTM1jMcDgdCAx1kp4shy5NDlieHQJtuMyFlKVwZIfdVPHSsrN8lnz0B6zGfQfLqJZJDTyEpJAg5z98tpytNScarf3fh1b+7oNPECuZe/aHXojWer15Gpb4IIaSKUZZTDxUks0D+JDCBdsOo5EBIRRVURiiJ0MoGtp99DtvPPkdO9Iv8GrbBJyGJf7cWe27CK7zc+bfKflTqixBCqo5GyWxMTAxCQ0ORkJCAxMRE8Pl8WFpawsbGBv3794epqWllx0nKQXUVsDwYmlIyS0hl07NrCbvPv0bzKV8h+2lkfmIbEoS8xDcl76RUQp6ZX+qrtKSZEEKI+sqVzB49ehT+/v64ffs2mBJm/fL5fPTp0wf+/v7o2rVrpQRJykfXoFCtWRo3S0iV4nA4MGhrD4O29mgxbSZED+/hxdoVKuNrVTGI3vg75KJMmHv2g5apWbXGSwgh9Y3aiyb88MMPmDhxIjw9PREUFITo6GhkZ2dDLpdDJpMhMzMTT548wf79+2FtbQ1PT0/s2rWrKmMnJRBSeS5CagSHy4VRpy6w+ng88HYSWHHyEt/g+apfcXVIH9z/ZgoSjh2ATJRZjZESQkj9oVbPbGBgIB48eICYmBgYGhoW28bAwAAGBgZo3bo1hgwZgnnz5mHIkCHo0KEDOnfuXKlBk9IVHmZAS9oSUv3ULfUFpRIZt64h49Y1PPttCRr16AULLx+YunqCr6dXfQETQkgdplYy6+TkhLFjx0JLS0vtAzdr1gxhYWHIyMjQNDaiIVoFjJCaVVqprw5LV0OWloqk4JNIvXoRzNsluRm5HGmXzyPt8nlwtXVg2ssd5l79YeLSGzxtHSrzRQghJVArmXV0dNTo4CYmJjAxMdFoX6I5YeExs7RwAiE1otRSXwDM+3wIeXYWUi6GITnkFNJuXAEUCgCAMi8XyWGnkRx2GjxdPRg5dkHm/TtQSMRU5osQQt6jcWkumUyGf/75B+fOnYNUKsWuXbuwf/9+dOvWDc2bN6/EEEl5qVYzoJ5ZQmpKWaW++PoGaOwzBI19hkCWkY7kc8FICglC5t1b7NK6CnEO0q5eZPehMl+EEKJKo2T2zZs36Nu3LyIjIyEQCGBubg4AiIuLw4wZM3Dy5EmNe3NJxenSMANC6hyBcSM0Hfoxmg79GHnJSUgOO52/6lhEePE7KJWQZ2bg5a6taDZpGrvqGCGENDRqVzMobNasWWjXrh0iIyORm5vLJrPff/89du/ejZ9++qlSgyTlU3jMLE0AI6Tu0Ta3gPXoT9Hlzz2wGv0pwC35ozr27w24MbI/ojb8juxnj0ssm0gIIfWVRj2zV69exdOnT8Hj8QBApUfAw8MDfn5+lRMd0YhQn8bMElJfGLTvyA45KEluwiu83PU3Xu76G7rN7GDu5QMLLx/oNrOrpigJIaTmaJTM8ng8NpEtTkpKisYBkYqjagaE1B8llvnicMAVaIFvbAxpUiK7WRwbjdi/NyD27w3Qb9M+P7Ht2x86TZqybagyAiGkPtEombW0tMTKlSvx/fffF3luy5YtNAGshunSogmE1BullflyWLkRBu06QPTwHpJCTiE59BRk6WnsvtlPI5H9NBLRG1bBsKMjLLwHQGjdDJGL5hR7LKqMQAipizRKZv39/eHt7Y3169fD2dkZr169wpQpU3D//n08fPgQZ8+erew4STmorgBGwwwIqevKKvNl1KkLjDp1QatvfkDGvVtICg5Cyrng/N7ct0QP70P08L7KcakyAiGkPtBoApibmxvCwsJgZWWF/fv3Izk5Gdu3b4dQKMTZs2fh7Oxc2XGSchBo88Hj599aGmZASP1QUOar2cSpsOw3sNikk8Pno9EHzmj740K4HD+PjivWw6LfQHCFwtIPrlRCLspEyvnQKoqeEEKqjsZ1Znv16oVLly5BIpEgLS0NJiYmEJb1gUmqBYfDgdBAB9npYsjy5JDlySHQ1vhWE0LqIK5AANNeHjDt5QFFrgRpVy4g5q8/II6JKn4HhkFc4J/gCrRg0rM39dASQuoMjXpmCxMKhbCyslJJZJcsWVLRw5IKoklghJACPB0hzPt8CFvfqUAp9WjF0c/xaO5MXB3ohsiFc5B65QKUb4ciEEJIbaVWd92FCxfKddAdO3bg559/1iggUjlUVwHLg6Gpfg1GQwipDUqsjPAehViMpNPHkXT6OPiGRjD38Ia5lw+MO38ATimVbAghpCaolcx6eHiovboMwzD1YiUaX19fnDp1in3s5uaGf//9twYjKh9dg0K1ZqlnlhCC0isjtJv3KyQvY5EUcgpZEe8mislFmUg4dgAJxw5Ay9QM5n0+hLmXDww7OrKf9QWlvrIfPECigwOV+iKEVCu1ktmWLVvir7/+UuuADMPg888/r1BQJUlISMDEiRNx+vTpalnl5s2bN1V+jqoipPJchJBilFUZwXr0p5C8jkdyyCkkhQYh59kTdl9pagpe7d+NV/t3Q7txU1j07Q+9lm3wfM0yyEWZAI+Hx4d2U6kvQki1UiuZHTduHNzd3dU+6Lhx4zQOqCSHDh3Cd999B4FAUGq7pKQkzJw5E7du3QIAODg4YPXq1bC2ti73OX/88UfIZDIoFArMmjULVlZWGsVeEwoPM6AlbQkhhRVURiiJsKk1bD+bAtvPpiAn5kV+YhsSBElcDNsm781rvNy9VXVHuTz/f1TqixBSjdSaALZw4cJyHdTR0VGjYEoTEBCA4OBg9OrVq8Q2UqkU3t7ekEqliIiIwKNHj6CnpwdPT09kZ2eX63yDBw/G9OnT8dtvv8HHxweurq4Qi8UVfRnVhiaAEUIqg17zlmg+5St0++c/dNm2HzafTIK2ZZPSd1IqIc+kUl+EkOpR4XpNiYmJyMtTLcw/f/58DB8+vKKHVnH58mXw+aWHGxgYiPDwcBw+fJhtGxAQACsrK2zcuBF+fn4A8hPV8PDwYo+xd+9eODs7q8Tfr18/yOVyXLp0Cf369aukV1S1hIXHzNLCCYSQCuJwODBo2x4GbdvDbtoMiCLC8WJNALIePShhDwbRG36HLCMd5n0+hLaZebXGSwhpODRKZvPy8jB79mz8/fff1dZbWVYiCwAHDx6Era0tWrRowW5r3Lgx7O3tcfDgQTaZPXbsWJnHevr0Kdq0acM+1tbWhkQi0SDymqFazYB6ZgkhlYfD5cLIwQlWH4/H44VzgBLmMOQlvcGL1cvwYu1yGHfuBgsvH5h5eEFgZFy9ARNC6jWN6swuWrQId+7cwW+//QZra2ts3boVW7duhb+/P+zs7PDtt99WdpxqCQ8Ph52dXZHtdnZ2ePCgpN6D4n3yySfsv6OiopCSkoIePXpUOMbqokvDDAghVayg1Be4ZfwqUSqRcfs6ngYswNVBHnjw/TQknvoP8pyc6gmUEFKvadQze+LECVy8eBEGBgbYvHkzJkyYwD7n6+uLqVOnVlqA5ZGSkoKuXbsW2W5oaAixWAyJRKL2KmUODg4YO3YsGjdujOfPn+Pff/9F48aNS2wvk8kgfzv5AUCN9+IWHjNLE8AIIVXh/VJf4PEAhQJ8QyN0WLoasrQ0JIUEIfXKeTBSKQCAUciRdvUi0q5eBFdLGyY93WDhPYBddaygzFfuq5fQsbKhMl+EkDJplMxyuVwYGBgAgEoCB+R/rf/69euKR1bDtm7dWnajQvz9/YudKPc0+iV0dKr+g1ipVOJJVBz7OFmUwf47JSlD5TlS+d6//qT60T2oITpGMP19G3JvXYE8MQF8yybQ+aAnErW0AUML8Ke0g/m4qci7cxW5Vy8g7+EdQKEAACileUg5F4yUc8Hg6AghaGMP2dNHYPJy2cSYo6cPE7/FELRsU0YghN4DNY/uQeVr28K2zDYaJbMMw0AkEsHQ0BCmpqY4evQohgwZAgAICQmpsfqsZmZmyMrKKrJdJBJBV1dX7V5ZTcydOxezZ89mH0skEpiamqKNnU2VnrfAk6g4lRtuiHfn5Co4av0wEM29f/1J9aN7UMPatS79HnRsB3w2EbLMDCSfDUZySBAy7t5kx9syuRJIw2+/a/+2o4QR5yBz1QIq86UGeg/UPLoHNUOjZNbV1RW9evXCqVOnMHnyZAwfPhwODg7gcDh48OABvvnmm8qOUy2dOnXC48ePi2yPjo6Gg0PVFu8WCARl1sCtTrq0aAIhpBYSGBmj6dBRaDp0FPKSk5AcdrrIqmMqlErIMzPwctdWNJs0rV6sMEkIqVwaTQBbsGAB/vrrL5iYmGD8+PH4448/oKenBx6Ph7lz52Lp0qWVHadahg8fjtjYWMTExLDbEhMTERkZiREjRtRITDVFdQUwKs1FCKl9tM0tYD36U3T5czesRn9a6kSy2L834PqIDxH1xypkP31cLatAEkLqBo16Zk1NTWFqaso+/vLLL/Hll19WWlCa8vX1xfr16zF79mzs3r0bXC4Xc+bMgZ2dHaZNm1bT4VUrgTYfPD4XCrmSqhkQQmo9g/YdSyzxVaBg1bGXu7dCaGsHC6/+sPDygW7zFqXuRwip3zTqmU1JScGxY8dw4sQJle179+5FYmJipQT2Pj8/Pzg5ObE1Yp2cnODk5ATp2xmyAKClpYXg4GDweDzY29ujffv2EIlECAsLg76+fpXEVVtxOBy2d1aWJ4csT17GHoQQUnNKLPPF4YCrpQ0tC9VqMpK4aMRu3Yib4wbj1oQRiNv5N3ITXqm0UeTlIvHMCcRu24TEMyegyKM/7AmpjzTqmV2zZg1WrlyJUaNGYeDAd+t7X7t2DbNmzcLJkyfRqVOnSgsSAFasWKFWO0tLS+zZs6dSz11XCQ10kJ2ev6iFJDsXAu2GldATQuqO98t8cfh8MHI5+IZGcFi5EQbtOkAUEY7k4JNICjsNWVoqu2/OsyeIfvYE0Rt/h0EHR1h49YfQphkeL/6p2GMZ2lftHApCSPXSuM7s2bNniywisHr1agwePBizZs3CmTNnKiVAojnVVcDyYGhKySwhpPYytHeA85GQt3Vm46FjZa1SZ9bIwQlGDk5o+e1sZNy9heSQICSfPQN5log9RlbE/SKTyRiZDAAgzxLhwffTqDICIfWMxqW5SloNq0+fPpg1a1aFgiKVQ9dAm/03jZslhNQFPG0dWPYbWGobDo+HRh/0QKMPeqDV93ORfuNK/uIMF8OgKG2JdaUSclEmUs6HlnkOQkjdoVEym56eDqVSCW4xM08VCgXS0tIqHBipOCGV5yKE1HNcgQCmvdxh2ssdirxcpF25iJg/10Mc86L4HRgGcds3g8vnw6SnG3g6VV8HnBBStTSaANarVy+MHz8er16pDrZ//fo1JkyYAFdX10oJjlRM4WEGtKQtIaS+42nrwNzTG7a+XwCl1KMVx0Th0c/f4+ogd0QumI3Uy+egfDsUgRBS92jUM7t8+XK4urqiWbNmsLS0hImJCdLT05GYmAgbGxtcunSpsuMkGlDpmaVhBoSQBqKgMoI8SwQolSW2U4jFSDpzAklnToBvYAgzD29YePvAuHM3cHi8aoyYEFIRGvXMWllZ4c6dO/jxxx9ha2uL3Nxc2NjY4Mcff8Tt27fRtGnTyo6TaEBYeMwsLZxACGkgCioj8A0MAQ4HHIEA4HDANzJGx5Ub0XLGHBh2dFTZR54lwpv/DiL8mym4OqQPnq/6FZkP7oIplAxTqS9CaieNemYBoFGjRli8eDEWL15cmfGQSqRazYA+dAkhDUeplRFcesP64/HITXiFpNDTSA4JQvbTSHZfWVoqXh3Yg1cH9kDbsgnMvfpDr0UbvFgbQKW+CKmFNE5m3xcWFobw8HC4ubmhS5culXVYUgG6NMyAENKAlVUZQaeJFWzHT4Lt+EkQx0QhKfQUkoKDIImLZtvkJSYgfvc2lf2o1BchtYtGwwwCAgLA4/Ewb948AMDff/8Nb29vfPfdd3B2dsbx48crNUiimcJjZmkCGCGElEy3eQs0n/w/dPvnGLoGHoDN+MnQblzGkDmlEvLM/FJfhJCao1Eye+TIEfz3339YvHgxGIbB4sWL0bt3b6SmpuLAgQPw9/ev7DiJBoT6NGaWEELKg8PhQL91O7T430z0OHganbfshkGH0la0ZBC14XfE79uJvOSkaouTEPKORsmsVCrFgAEDAOQvYRsXF4cFCxagUaNGGDx4MCQSSaUGSTRD1QwIIURzHA4Hhh0dYTXqk1JLfUmT3uDFmgBcG9oX976eiNdH/oUsI70aIyWkYdNozKxcLmf/vXPnTjRr1gweHh7sNk4pb3pSfXRp0QRCCKkwdUt9gWGQeecmMu/cxPOVv6JRdxeYe/WHmVtf8PVoOXFCqopGyWz79u3x5Zdfonnz5ti2bRvmzp3LPnfkyBFoa2uXsjepLqorgNEwA0II0URBqa8H308rUs2gw7I1kKWnISk4CGmXz0Mpzf+sZRRypF29iLSrF/FUayFMXXrDwnsAu+qYIi/3baWFl9CxsnlXaYEQUm4aJbOrVq3ChAkTsHv3bvTp0wezZs0CAIwbNw579+7F8uXLKzVIohmBNh88PhcKuZKGGRBCSAWUWuoLgLmHN+Q5OUi9dBZJIUFIv3YZjCL/W0xGKkXK+VCknA8FVyiEUacuED24B4VETGW+CKkEGiWzTZs2RXBwcJHte/bswZ49eyocFKkcHA4HQgMdZKeLIcuTQ5Ynh0C70qqxEUJIg1JWqS++nh4sPxwEyw8HQSbKRMq5YCSFnELGnRvs8ASlRIL065fZfajMFyEVp9EEMFJ30CQwQgipfgJDIzQZPBKOa/+Cy9EwtJr5IwwdnEreQamEPDMDL3f+pbLqGCGkbJTM1nOqq4DRuFlCCKluWqZmsBr1CTpv3gXrMZ8B3JJ/9cZu3YTrIz7Eiz9WIuvJIzAMU42RElI30XfO9ZyuQaFas9QzSwghNUq/XQegjAS1YNWx+N3bILRtDguv/jD38oFe85bVFCUhdQv1zNZzQirPRQghtUZBma8ivbMcLrja2kVWHZPExSB26ybcGjcEtz4bjrgdf0LyOl6ljSIvF4lnTiD78B4knjkBRR591pOGhXpm67nCwwxoSVtCCKlZJZf5MoTDyo0waN8RWRHhSAoJQnLYaUhTktl9c54/RfTzp4jetAYGHTrBwssHQptmeLz4J8hFmQCPh8eHdlNlBNLgaJTMbtmyBV988UVlx0KqAE0AI4SQ2qWsMl+GHR1h2NERLaf7IfP+bSQFByH57Jn8hPWtrIhwZEWEqx747YJGVBmBNDQaJbNr166Fj49PiQPTORwOzM3NoaNDb6KaJiw8ZpYmgBFCSK1QVpkvAODweDDu0h3GXbqj1fc/If3mNSSHBCHlfCgU4pySd1QqIRdlIuV8aJnnIKQ+0CiZffToEZo3b15qGw6Hg+bNm2PevHmYMGGCJqchlUC1mgH1zBJCSF3E5Qtg6tIbpi69ofghF2lXLyLmzz8gjn5e/A4Mg7jtm8Hh8WDayx08HWH1BkxINdIomf3tt9+wfPlyDB48GB07doSRkREyMjLw8OFDhIWF4bvvvoNUKsWDBw/w1VdfQSwWY9q0aZUde5USCoUwMjJiH4tEIgQGBmLUqFE1GFX56dIwA0IIqVd42jow9/CGUirF44VzSqyOII6JQuS8WeAKhTDr3QfmXj4w6dELXIGgmiMmpGpplMzevXsXJ0+eRJcuXYo8d/v2bWzevBlbtmwBAHzxxReYNGlSpSSzCQkJmDhxIk6fPl3ltfemTJmCdevWAQAYhkGvXr0wcGDd+7qm8JhZmgBGCCH1R0FlBHmWiF1hrDhKiQRJZ04g6cwJ8A0MYebhBQsvHxh37gYOn+aBk7pPo9JcERERxSayANC1a1fcvn2bfezs7AyFQqFZdIUcOnQILi4uePHiRantkpKS8Mknn6Bt27Zo27YtRo4cifj4+FL3KU5BIgsAp0+fhqurK3R1dct9nJom1Kcxs4QQUh8VVEbgGxgCHA7A5wMcDvhGxnBYuQmtvvsJhp06q+wjzxLhzX+HEP7t57g6pA+erfRH5v07KquOFZT6it22iUp9kTpBoz/J4uLi8OrVK1hZWRV57uXLl4iLi2MfK5VKCCrhK42AgAAEBwfD398fz58XP0ZIKpXC29sbbdq0QUREBDgcDiZNmgRPT0/cvXsX+vr6Gp17w4YNKsltXULVDAghpP4qXBkh/uFDWHfsqFIZwWrkOOQmvEZy2CkkhZxC9pNH7L6y9DS8PvgPXh/8B9qWjWHetz/0WrbGi7Ur3isbRqW+SO2mUTI7ZMgQ9OzZE9OnT0fnzp1hbGyM9PR03LlzBxs2bMCwYcMA5Ce9y5cvh7m5eYUDvXz5MvhlfB0SGBiI8PBwHD58mG0bEBAAKysrbNy4EX5+fgCAwYMHIzw8vNhj7N27F87OzuzjZ8+eQVtbG82aNavwa6gJurRoAiGE1GsFlREyWjnAsoVtked1mjSFzSeTYPPJJIhjo5EUegrJwSchjo1m2+QlvkH8nu0q+zEyGQAq9UVqP41Lc02ePBmzZ88u8tzYsWOxZs0aAMDmzZvx6tUrfPXVVxWLEigzkQWAgwcPwtbWFi1atGC3NW7cGPb29jh48CCbzB47dkzt865btw5ff/11+QOuJVRXAKNhBoQQ0pDpNrND80nT0Gzil8h58RRJwSeRHHIKuQmvSt5JqYQ8k0p9kdpLo2RWT08Pe/fuxcKFC3Ht2jUkJiaiSZMm6NGjB9q0acO28/f3r7RA1REeHq5y/gJ2dnYIDQ0t9/GysrJw9+5drF27tsy2MpkM8rcFqwFAIpGU+3xVQaDNB4/PhUKupGEGhBBCAOSXz9Rv1Rb6rdrC7ssZyHr0AM9XLyu6EAOLQdQfqyBLS4V53w+hbW5ZrfESUpoKTWMsmGRVW6SkpKBr165FthsaGkIsFkMikUAoVL/W3vbt2+Hr66tWW39/fyxcuLDI9qfRL6tl8QilUoknUXHFPqelqwWJKBeyPDkiHkeDr8Wr8ngamtKuP6kedA9qHt2DmlWh6y80Btf9Q+DRgxJLfUmTE/Fi7XK8WLcCgrYdIHRxh043V3ANjYpt3xDRe6DytS1m6Mz7NE5mExMTsXTpUgQHByMlJQVmZmbo168f5syZA0vL+vEX2/Tp09VuO3fuXJVhFxKJBKampmhjZ1OuBFpTT6LiSrzh+sa6kIjye2VtzM1haKrZRDhSstKuP6kedA9qHt2DmlXR66+wGo1ru/8ss9QXGAayxw8he/wQoh2b0OgDZ1h4+eSXCtM30Pj89QG9B2qGRqW5oqKi4OTkhE2bNkGpVKJVq1ZQKpXYuHEjOnfujOjo6LIPUgXMzMyQlZVVZLtIJIKurm6VJpUCgQBCoVDlv9pCdRUwGjdLCCGkqPdLfXEEArbUl9PGHbD/9XeY9/kQXK13JR+hUCD9+mU88f8ZVwa64eGcb5AUEgSFRJz/NJX5ItVAo57ZH374AQMGDMDy5cthamrKbk9NTcWcOXPg5+eHAwcOVFqQ6urUqRMeP35cZHt0dDQcHBpuSRFdg0K1ZmncLCGEkBIULvWV+yoeOlbWKqW+zD28Ic/JQerlc0gOCULatUtg3s4XYWQypF4IQ+qFMHCFQhg5dIbo4X0oJGIq80WqlEbJ7O3bt4vtfTU1NcXmzZvRsmXLCgemieHDh2Pq1KmIiYlB8+bNAeQPh4iMjMTSpUtrJKbaQEjluQghhKipoNRXSfh6erDsNxCW/QZCJspEyvkQJIUEIeP2DXZ4glIiQfqNK+w+VOaLVCWNhhlwuSXvxuVyS32+Kvn6+sLBwQGzZ8+GXC6HUqnEnDlzYGdnVynL6dZVurSkLSGEkCogMDRCk49GwHHNX3A5FlbsqmMqlErIMzMQt+MvlVXHCKkIjbJOGxsbbNiwodjn1q9fDxsbmwoFVRw/Pz84OTmxNWKdnJzg5OQEqVTKttHS0kJwcDB4PB7s7e3Rvn17iEQihIWFabz6V31Aq4ARQgipalomZrAaOQ6dN+2E9ZgJALfkyjlx2zbh+nBvvFi3AlmRD8GUUEGBEHVoNMxgyZIl8PLywtq1a/HBBx+gUaNGSEtLw61btxAbG6tRTdeyrFixQq12lpaW2LNnT6Wfvy6jCWCEEEKqk347e4Apvec1LykR8f8EIv6fQAitbWHu5QMLLx/otWhVTVGS+kKjZNbV1RUhISGYM2cO9u7dC6VSCS6XCxcXF2zduhW9evWq7DhJBdCYWUIIIdXJzL0v+IZGRct8cbjgagkgMDFDXqFVxyTxcYjbvhlx2zdDr2Xr/MS2b38Ird+VuVLk5b6dmPYSOlY2KhPTSMOmcZ1ZV1dXXLp0CRKJBGlpaWjUqBF0dXUrMzZSSYRUzYAQQkg1Kijz9eD7aZCLMgtVMzCEw8qNMGjfEVmPHiApJAjJoacgTUlm98158Qw5L54hZvNaGLTvCAvvARDaNsPjxXPfOxZVRiD5KrQCGAAIhUJYWVmpbFuyZAl+/vnnih6aVJLCwwxoAhghhJDqUFaZL8MOnWDYoRNafj0LmeF3kBR8EslngyHPzGCPkRX5EFmRD1WOS5URyPvUSmYvXLhQroPu2LGDktlaRNeAxswSQgipfmWV+QIADo8H487dYNy5G1p99xMybl1HUkgQUs6HQpGTXfKOSiXkokyknA8t8xykflMrmfXw8ACHw1HrgAzDqN2WVA+qZkAIIaQu4PIFMHF2hYmzK5R+85F27SKi/1wPcdTz4ndgGMRu2wQOlwvTXu7gCWm4Y0OkVjLbsmVL/PXXX2odkGEYfP755xUKilQulTGzNMyAEEJIHcDV1oaZuxcUeXl4vHAOUEL5LklsNCLn+4GrI4SpqwcsvAfApEcvcLW0qjliUlPUSmbHjRsHd3d3tQ86btw4jQMilY9KcxFCCKmrSqyM8B5lrgTJIUFIDgkCT98A5u59Ye7lg0Zde4DDr/AUIVKLqXV3Fy5cWK6Dlrc9qVoCbT74Ah7kMgUNMyCEEFKnlFwZwQjtf1kGyauXSAoJguj+HXYfRXYW3pw4gjcnjkBgbALzPv1g7uUDo06dwXm7SimV+qo/1Epm169fjy5duqBnz57lOviePXvQqFEj+Pj4aBQcqRwcDgdCAx1kpeVAlieHLE8OgTb9lUoIIaRuKKsygtWIsch9k4DksFNICglC9uNH7L6yjDS8PrQXrw/thbaFJcz79odeyzZ4sW4FlfqqJ9TKaAYNGgQPDw988803+PLLL8usJ5uUlISAgACcO3cOly9frpRAScUI9bWRlZYDIH8SmEC74S7vSwghpO4pqzKCTuMmsBk3ETbjJkL8MhbJIUFICj4JcUwU26Zg1bHCqNRX3adWMtu8eXOcPHkSo0aNwvz58/HBBx+gVatWMDMzg46ODhiGgUQiQWJiIh4/fox79+7Bw8MDZ86cgY4O/UDUBsL3ynMZmlIySwghpH7StWmGZhO/hK3vVOREPUNycBCSQoKQ+zq+5J2USsgzqdRXXaT2d8329va4f/8+jh49ioMHD+LEiRNITk6G8u1gbD6fDysrK/j4+GDZsmXw9PSssqBJ+VF5LkIIIQ0Nh8OBfss20G/ZBs2nfoOsyId4vjoAWQ/vlbAHg6g/VkKamgKLvh9C26JxdYZLNFSugZN8Ph8jRozAiBEjAABKpRKpqang8XgwMTGpkgBJ5VCtaEDJLCGEkIaFw+HA0N4BViPH4nHE/RJLfUmTkxC1bgWi1q2AkWNXWHj7wMyzH7QaUZ5TW1VoFhCXy4W5uXllxUKqkG6hWrO0pC0hhJCGSt1SXwCQef82Mu/fxrPfl6JR1x6w8PLJ39/AsJqiJerg1nQApHrQMANCCCHkXakvvoEhwOGAIxAAHA74RsZw2rgDHZaugXnf/uAWngSmUCD9xhU8+XUergxyx8PZ3yAp+CQUEnH+03m5SDxzAtmH9yDxzAko8uj3bHWi+kwNBC2cQAghhOQrq9SXmXtfKMRipF46h6SQIKRduwhGLgeQX/0g9WIYUi+GgasjhKGDE7IiwvMTWx4Pjw/tpjJf1YyS2QZCtZoB/cVICCGkYSur1BdPVxcW/QbAot8AyESZSLkQiuTgIKTfvs4OT1DmSpBx8+q7nd4mvFTmq3rRMIMGQlhozCwNMyCEEELUJzA0QpNBw9FpzZ9wORaGVt//DEPHLiXvoFRCnpmBuB1/gSljXC6pOEpmG4jCwwxoAhghhBCiGS0TM1iNGIPOG3fAeuwEgMsrsW3ctk24NswbL9augOjRAzAlVFAgFUPDDBoIXQMaM0sIIYRUJv229gBTes+rNDkR8XsDEb83EDpWNrDw8oGFlw/0WraupijrP0pmGwiqZkAIIYRUrhLLfHG44GoJIDAxQ17CK3Zz7quXiAvcgrjALdC1a5Wf2Hr7QGhty7ZR5OW+nZj2EjpWNioT00jxKJltIFTGzNIwA0IIIaTCCsp8Pfh+GuSiTIDHAxQK8A0N4bByIwzad0RW5EMkBQchOfQUpClJ7L7i6OeI+XMdYv5cB4N2HWDu5QOhbXM88f8ZclEmOHw+GLmcKiOogZLZEpw5cwabNm2CnZ0d4uPj8cMPP6Br1641HZbGqDQXIYQQUvkKl/mKf/gQ1h07qvSmGto7wNDeAS2nz0Lm/TtIDglC8tkzkGWks8fIehyBrMcRKsdlZDIAVBlBHXUqmU1ISMDEiRNx+vTpKh1EnZaWhmHDhiEiIgLNmzdHXFwcXFxcEBUVBW1t7bIPUAsJtPngC3iQyxQ0zIAQQgipRAVlvjJaOcCyhW2xbThcLow7fwDjzh+g1cwfkX7rOpJCgpByPgSKnOySD65UQi7KRMr50FJLiTVkdaaawaFDh+Di4oIXL16U2i4pKQmffPIJ2rZti7Zt22LkyJGIj48v17mioqKgUCjQvHlzAICtrS1ycnJw9uxZTcOvcRwOhx03K8uTQ5Ynr+GICCGEkIaJw+fDxLkX2v28BD2Pn0eHZWuh26KUCWEMg9itm5B05iQUYnH1BVpHqNUze+HChQqfyM3NrUL7BwQEIDg4GP7+/nj+/HmxbaRSKby9vdGmTRtERESAw+Fg0qRJ8PT0xN27d6Gvr6/Wudq1awdDQ0NcunQJrq6uuHv3LjIzMxEXF1eh11DThPrayErLAZA/CUygrd71IIQQQkjV4Gprw8ytDxS5EjxeOAco4ZtnSVw0Ihf8AK6OEKa93GHh5QMTZ1dw6+g3xpVJrWTWw8OjQifhcDhQKBQVOsbly5fB55cebmBgIMLDw3H48GG2bUBAAKysrLBx40b4+fkBAAYPHozw8PBij7F37144OzsjNDQU69evx8mTJ2FpaQlHR0cYGhpW6DXUNOF75bkMTSmZJYQQQmqDEisjvEeZK0Fy6Ckkh54CT08fZu5esPDygfEH3cHlC6ox4tpDrWRWWQtWrygrkQWAgwcPwtbWFi1atGC3NW7cGPb29jh48CCbzB47dqzMYzk4OGDz5s3s42XLlsHe3l6DyGsPKs9FCCGE1E7vV0YoXM2g/S/LIHkVj+SQIGTev83uo8jJRuLJI0g8eQQC40Yw9+wHcy8fGDl2AYfLbTBlvurUBLCyhIeHo02bNkW229nZITQ0tFzH+uabb/D777+Dx+Ph9OnT6NChAzp16lRie5lMBrn83ThUiURSrvNVB9WKBpTMEkIIIbVJ4coIua/ioWNlrZKAWo0Yg9zEBCSHnkZySJBKBQRZRjpeH96H14f3QcvcEkaOXZF29QIU4px6X+ZL7WT23r17uHr1KqZNmwYA2LBhA3r16gVHR8cqC668UlJSii2fZWhoCLFYDIlEAqFQqNaxMjMzMXz4cFhbWyMrKwu7du0qtb2/vz8WLlxYZPvT6JfQ0an6v4KUSiWeRJU+plfKyNh/v3gRD65lw/w6oiqoc/1J1aJ7UPPoHtQsuv41r9LuQSsHoJUDcgFkvEoq+rxzH+g594H2m9fIvX4BuVfPQx4fyz4tTU5EcshJ9jFb5kskwr0ZX8Bi7Q5wtOrGWNu2JVSHKEztZFZHRwc///wzhg8fDplMhp9//hlXr16tUIC1WWBgYLnaz507F7Nnz2YfSyQSmJqaoo2djdoJdEU8iYor84Y/tnqGCDwDABjr6qv1A0LUo871J1WL7kHNo3tQs+j617xqvwctbIGezsDMH5Dz4hmSQoKQFHwSua9LqOLEKMFkZ0Hv3hXYjJlQfXFWMbWT2Xbt2mHBggVYvHgxZDIZFi5ciLZt21ZlbOVmZmaGrKysIttFIhF0dXWrNKkUCAQQCGp3TyctnEAIIYTUT3otW8OuZWs0/2I6ni1fhIT/DpY4kSxq7QoknTkBC68BMO/7IXQsm1RztJVLrWR20aJFAPK7z/ft2weGYdC0aVN2+/z586suwnLo1KkTHj9+XGR7dHQ0HBzq1/gQTahWM6Axs4QQQkh9w+FwYNT5AyQcO1Bqu+zHj5D9+BGi1v8GQ8cusPDygbmnN7RMzKop0sqj1qIJDMOwK24plUpwudwi22uD4cOHIzY2FjExMey2xMREREZGYsSIETUXWC0hNHg3PoaqGRBCCCH1U0GZL3DfS/M4HHAEWuDqqZbmFN2/g+cr/XF1cB+Ef/s5Eo4fgkyUWY0RV4xaPbO//PILAGDdunUYOXIktLW1YWJigunTp1dpcOXl6+uL9evXY/bs2di9eze4XC7mzJkDOzs7duJaQ1Z4mIGYemYJIYSQeqm0Ml8OKzdCv1VbpF27hKSQIKReOgdl7tsKTEol0m9eRfrNq3i2fBFMnF1h4TUApq4e4Onq1tpSX2qPmY2MjMSCBQvw4MEDcDgcODg4wNvbG+3atavK+Fh+fn4IDg5mV+FycnICANy4cQNaWloAAC0tLQQHB2PmzJmwt7cHh8NBx44dERYWpvbqX/WZrgGNmSWEEEIagrLKfJm59clfeUwiRuqlc0gKOYW0axfZygeMXI7US+eQeukcuNo6MOzkhKyIB1BIxLWu1JfayaxMJoO/vz+aNm0KIL8UlUwmK2OvyrNixQq12llaWmLPnj1VHE3dRIsmEEIIIQ0HT1sHlv0Glt5GqAsL7wGw8B4AeZYIKRfCkBR8Eum3rwNvV29V5uUi4+Y1dh+21FeWCA++nwbnIyE12kOrdjLbqVMndtGArVu3YurUqSW2/fjjj/Hvv/9WPDpSqVTGzNIwA0IIIYQUwjcwROOBQ9F44FBI01KRci4YSSGnkHnvVvE7KJWQizKRcj60zKS5Kqk1Aex9/v7+Ja5wdeLECQQHB1coKFI1qDQXIYQQQtShZWKKpsPHwGnDdliP9QW4vGLbcfh85L4qoa5tNdEomU1PT4eLi4vKErHp6en49NNP8dFHH0EkElVagKTyCLT54AvyfxhpmAEhhBBC1KHftj3AFF+zlpHLoWNlXc0RqdIomR03bhyOHj2KJUuWYPLkydi1axfat2+P48ePY9OmTVTTtZbicDjsuFlZnhyyPHkNR0QIIYSQ2q7EUl9cLviGRjB396qZwArC0GSn9evXo1mzZti6dSv+++8/TJgwAc2aNcOjR4/wxRdf4N69e5UcJqksQn2qNUsIIYQQ9RWU+uIbGL6tVSsAOBzwDQzhsHIjuNraZR+kCmmUzPbr1w9bt25F586doVAo8Pvvv0NbWxtr1qxBXl4eNm7cWNlxkkoipPJchBBCCCmnglJf7X5Zhma+X6LdL8vgfCSkxstyAeWoZlBYaGgoQkNDMXToUGzYsAGWlpaYPn061qxZAxcXFyQmJtIiBbUUlecihBBCiCbUKfVVEzTqmdXX18e+fftw8OBBWFpaAsgfjzljxgzs37+/Vi1xS1SpVjSgZJYQQgghdZtGyexHH32EkSNHFvtcy5YtMWnSpAoFRaqObqFas7SkLSGEEELqOo2S2V27dpX6/JIlSzQKhlQ9GmZACCGEkPpEo2SW1F20cAIhhBBC6hNKZhsY1WoG1DNLCCGEkLqNktkGRmhAdWYJIYQQUn9QMtvAFB5mQBPACCGEEFLXUTLbwOjSogmEEEIIqUcqnMxeuHABubnUw1dXUDUDQgghhNQnFU5mPT09ERcXVxmxkGqgMmaWhhkQQgghpI6rcDJLq33VLVSaixBCCCH1CY2ZbWAE2nzwBTwANMyAEEIIIXUfJbMNDIfDYcfNyvLkkOXJazgiQgghhBDNUTLbAAn1qdYsIYQQQuoHSmYbICGV5yKEEEJIPUHJbANE5bkIIYQQUl80+GRWJpMhICAAenp6iImJKffzdZFqRQNKZgkhhBBSd9XKZDYhIQH9+/cHh8Op8nNt2rQJ7u7uEIvFGj1fF+kWqjVLS9oSQgghpC7jV/QAvXr1gq6ubmXEAgA4dOgQvvvuOwgEglLbJSUlYebMmbh16xYAwMHBAatXr4a1tXW5zjd9+vQKPV8X0TADQgghhNQXFe6ZvXjxYrkTyNIEBAQgODgYvXr1KrGNVCqFt7c3pFIpIiIi8OjRI+jp6cHT0xPZ2dmVFkt9RQsnEEIIIaS+qHDPbGW7fPky+PzSwwoMDER4eDgOHz7Mtg0ICICVlRU2btwIPz8/AMDgwYMRHh5e7DH27t0LZ2fnyg2+jlCtZkA9s4QQQgipu2pdMltWIgsABw8ehK2tLVq0aMFua9y4Mezt7XHw4EE2mT127FiVxVmXCQ2oziwhhBBC6odaOQGsLOHh4bCzsyuy3c7ODg8ePKiBiPKrHkgkEpX/aqvCwwxoAhghhBBC6rJa1zOrjpSUFHTt2rXIdkNDQ4jFYkgkEgiFQrWOdeHCBfz7778AgF9++QXDhg3D0KFD1X6+gL+/PxYuXFhk+9Pol9DR0SmyvbIplUo8iYpTq21yVib775SkDLX3IyUrz/UnVYPuQc2je1Cz6PrXPLoHla9tC9sy29TJZLYyubm5wc3NDevXr9fo+QJz587F7Nmz2ccSiQSmpqZoY2ejdmJdEU+i4tS64QBgxHlXfYKr4Ki9HylZea4/qRp0D2oe3YOaRde/5tE9qBlVMszg8ePHVXFYlpmZGbKysopsF4lE0NXVrZbk8X0CgQBCoVDlv9pKZcwsDTMghBBCSB2mUTJb3NfshY0ePVqTw6qtU6dOxa7GFR0dDQcHhyo9d31ApbkIIYQQUl9olMyeO3cOQUFBRbYnJydj1KhRePjwYYUDK83w4cMRGxurktAmJiYiMjISI0aMqNJz1wcCbT74Ah4AqmZACCGEkLpNo2TWzMwMmzdvxvjx45GWlgYA2LVrF+zt7REWFoZGjRpVapDv8/X1hYODA2bPng25XA6lUok5c+bAzs4O06ZNq9Jz1wccDoetNSvLk0OWJ6/hiAghhBBCNKNRMrthwwYcOXIEffr0Qffu3eHl5YUJEybA3d0djx49wldffaVxQH5+fnBycmJrxDo5OcHJyQlSqZRto6WlheDgYPB4PNjb26N9+/YQiUQICwuDvr6+xuduSIT6VGuWEEIIIXWfRtUMDA0NAQAZGRl49eoV4uPj0aNHD+zcuRNCobDYElXqWrFihVrtLC0tsWfPHo3P09CprgKWB0NT+iOAEEIIIXWPRj2zY8eOhaenJ2bNmoXhw4fj5cuX+PTTT9GzZ0+EhYXBx8ensuMklUwlmaWeWUIIIYTUURr1zMbGxkImk+Ho0aP46KOPAADTpk3DwIED8eWXX+LcuXOVGSOpAqoVDSiZJYQQQkjdpFEy26xZM4SHh8PAwEBlu62tLU6ePImOHTtWSnCk6ugWqjVLS9oSQgghpK7SaJhBQEBAkUS2sK1bt2ocEKkeNMyAEEIIIfWBRsnsxx9/XOrz3bt31ygYUn1o4QRCCCGE1AdqDTO4cOFChU/k5uZW4WOQyqNazYB6ZgkhhBBSN6mVzHp4eFToJBwOBwqFokLHIJVLaEB1ZgkhhBBS96mVzCqVyqqOg1SzwsMMaAIYIYQQQuoqjcbMkrpP14DGzBJCCCGk7qNktoGiagaEEEIIqQ8omW2gVMbM0jADQgghhNRRlMw2UFSaixBCCCH1ASWzDZRAmw++gAeAhhkQQgghpO6iZLaB4nA47LhZWZ4csjx5DUdECCGEEFJ+lMw2YEJ9qjVLCCHk/+3df1BU193H8c/KLrigdCoYqYp1rYoQwU3saIwJxtTY1On4A20nrR1LEhOHpjYxBrExlphGOwQzgzP2kWqbxtYm1RST2E7TiLU21cYkplEYxd/4g1FRfDSArLLAff5wuo8bEBfZ5e5l368ZZtizZ7/7Pffw48vl3HMBa6OYjWBOtucCAAAWRzEbwdieCwAAWB3FbATz39GAYhYAAFgPxWwEi71hr1luaQsAAKyIYjaCscwAAABYHcVsBOPGCQAAwOooZiOY/24GnJkFAADWE9HFrNfrVUFBgeLi4nTixIlWzz/zzDN67LHHtHDhQn3jG9/Qhg0buj7JEHL2Zp9ZAABgbXazE/iis2fP6tFHH9X7778vwzBC+l7FxcWaMGGCGhoa2nze4XDotddekyR99NFHmjBhgh555BHZ7WF32G7LjcsMuAAMAABYUVidmd28ebPGjRunY8eOtdvv/Pnzmj17tlJSUpSSkqJZs2apqqqqw+83f/583XPPPTd9vrCw0Pf5oUOHlJaW1m0KWUmK5aYJAADA4sKqmC0oKFBpaanGjx9/0z6NjY166KGH1NjYqP379+vAgQOKi4vTxIkTVV9fH/Sc9u3bp+985ztatWqV/vSnPwU9vpnYzQAAAFhdWJ1m3LVr1y3PfK5fv15lZWV6++23fX0LCgo0YMAArVmzRrm5uZKkqVOnqqysrM0Yf/zjH9s9I3ujUaNG6a233tLu3buVmZmpffv2KSEhoQOjCl9+a2ZZZgAAACworIrZQP6FX1JSokGDBmnIkCG+tqSkJKWlpamkpMRXzG7ZsqVTuTQ3N8vj8ahXr16SpHvuuUdOp1P//Oc/lZWV1anY4YKtuQAAgNWF1TKDQJSVlcnlcrVqd7lcKi8vD9r7nD59WnPnzvU9vnjxos6dO6evfe1rbfb3er3yeDx+H+HOEWOX3REliWUGAADAmsLqzGwgampqNHr06Fbt8fHxamhokMfjkdPpDCjWBx98oE2bNkmS8vPzNWPGDE2fPl2S1KdPHxmGoezsbPXp00cVFRUqKirSqFGj2oy1fPlyLVu2rFX74crT6tmzZxuvCK6WlhYdOn6qw69zxDrU9HmzvNeatP9gpezRUSHIrvu73eOP4GEOzMccmIvjbz7mIPhShgy6ZR/LFbPBlJmZqczMTK1evbrVc/Hx8dq4cWPAsZYsWaK8vDzfY4/Ho4SEBA13JQdcXHfGoeOnAprwL+r9pVh5Pr9+Vja5b1/FJ/QKdmoR4XaPP4KHOTAfc2Aujr/5mANzWK6YTUxMVF1dXav22tpaxcbGdknh2BaHwyGHw2HKe3eG8wvbc1HMAgAAK7HcmtmMjIw279ZVWVmp9PT0rk/I4tieCwAAWJnlitmsrCydPHnSr6Ctrq5WRUWFZs6caV5iFuW/owHFLAAAsBbLFbPZ2dlKT09XXl6empqa1NLSosWLF8vlciknJ8fs9Cwn9oa9ZrmlLQAAsJqwKmZzc3Pldrt9e8S63W653W41Njb6+kRHR6u0tFRRUVFKS0tTamqqamtrtX37dt+esAgcywwAAICVhdUFYIWFhQH169evn954440QZxMZuHECAACwsrA6M4uu57+bAWdmAQCAtVDMRjjnDWtmWWYAAACshmI2wt24zIALwAAAgNVQzEa42N6smQUAANZFMRvh2M0AAABYGcVshPNbM8syAwAAYDEUsxGOrbkAAICVUcxGOEeMXXZHlCSWGQAAAOuhmI1wNpvNt27We61J3mtNJmcEAAAQOIpZyNmLvWYBAIA1UcziC3cBY90sAACwDopZsD0XAACwLIpZfGFHA4pZAABgHRSzUOwNe81yS1sAAGAlFLNgmQEAALAsillw4wQAAGBZFLP4wm4GnJkFAADWQTELOXuzzywAALAmiln4LTPgAjAAAGAlFLNQLDdNAAAAFkUxC3YzAAAAlkUxC/81sywzAAAAFhLRxazX61VBQYHi4uJ04sSJVs9nZ2crKSnJ9/Hd736365PsAmzNBQAArMpudgJfdPbsWT366KN6//33ZRhGSN+ruLhYEyZMUENDw037nDt3LqQ5hANHjF12R5SavM0sMwAAAJYSVsXs5s2b9eyzz8rhcLTb7/z581qwYIH27NkjSUpPT1dRUZEGDhzYofebP3/+Lfv89Kc/ldfrVXNzs5577jkNGDCgQ+9hBTabTc7ePVX3v1fkvdYk77UmOWLC6ksDAACgTWG1zKCgoEClpaUaP378Tfs0NjbqoYceUmNjo/bv368DBw4oLi5OEydOVH19fVDzmTp1qubPn6+VK1fqW9/6lu677752z+JambMXe80CAADrCatidteuXRo2bFi7fdavX6+ysjIVFBTIbrcrKipKBQUFOn78uNasWePrN3XqVA0ePLjNj927dweUT1ZWlvr37y9Jmjx5spqamrRz587bH2AYc7I9FwAAsKCw+l+y3X7rdEpKSjRo0CANGTLE15aUlKS0tDSVlJQoNzdXkrRly5ZO53P48GENHz7c9zgmJkYej6fTccMR23MBAAArCqszs4EoKyuTy+Vq1e5yuVReXh7U95o9e7bv8+PHj6umpkZjx44N6nuEC/8dDShmAQCANYTVmdlA1NTUaPTo0a3a4+Pj1dDQII/HI6fTGVCsDz74QJs2bZIk5efna8aMGZo+fbrv+fT0dH3ve99TUlKSjh49qk2bNikpKanNWF6vV01NTb7HVjuDG3vDXrPc0hYAAFiF5YrZYMrMzFRmZqZWr17d5vOvvfZawLGWL1+uZcuWtWo/XHlaPXv2bOMVwdXS0qJDx0/d9us9zY2+z09UnlWv472DkVbE6OzxR+cxB+ZjDszF8TcfcxB8KUMG3bKP5YrZxMRE1dXVtWqvra1VbGxswGdlg23JkiXKy8vzPfZ4PEpISNBwV3KX5HTo+KmAJvxmTiaf1n+0X5IU3zO2U7EiUWePPzqPOTAfc2Aujr/5mANzWK6YzcjI0MGDB1u1V1ZWKj093YSMrnM4HLfcHzecxfZmzSwAALAey10AlpWVpZMnT/rdfra6uloVFRWaOXOmeYlZHLsZAAAAK7JcMZudna309HTl5eWpqalJLS0tWrx4sVwul3JycsxOz7Ju3M2AC8AAAIBVhFUxm5ubK7fb7dsj1u12y+12q7Hx/y9Oio6OVmlpqaKiopSWlqbU1FTV1tZq+/bt6tWrl1mpW57zht0MuGkCAACwirBaM1tYWBhQv379+umNN94IcTaRhWUGAADAisLqzCzME8tNEwAAgAVRzELSF87MsswAAABYBMUsJEmOGLvs0VGSWGYAAACsg2IWPv/d0cB7rUnea0236A0AAGA+iln4cBEYAACwGopZ+MSybhYAAFhMWG3NBXN8fqFODbVX1aOHzdd2+tBZtTS3SJJi43vqS317dyjWzXQkVrDjhTLWxarLOms4bytWqHMLl1ihzq0zc2ClcYZLrLbihcscROp88nMoMOE6B5FyzEKBYjbCfX6hTsuy/kfeq16/9vUvvOP73NHTofzNP7rlF+rNYt0o0FjBjheuscI5N8bZ8VjhnBvj7HiscM6NcXY8VjjnFq6xQhEvFFhmEOEaaq+2+wUqSd6r3nb/IgtFrHDOjXF2PFY458Y4Ox4rnHNjnB2PFc65MU5zY4UiXihwZhYBOXeiRs1Nze32uVB1KWixgh0vXGOFc26Ms+Oxwjk3xtnxWOGcG+PseKxwzi1cY3UknplshmEYZifRHXk8HsXGxqqhoUFOp/PWL+ikQ8dPKWXIoA6/7uyxC1rxyK9CkBEAAIgUz/9xnr7ytb6mvDfLDAAAAGBZLDNAQAbd+RXFOKPb7XPN06hT+88GJVaw44VrrHDOjXF2PFY458Y4Ox4rnHNjnB2PFc65hWusjsQzE8UsAvKDpVNv+e+DQJcsBBIr2PHCNVY458Y4Ox4rnHNjnB2PFc65Mc6Oxwrn3MI1VkfimYllBgAAALAsitkIFxvfU46ejnb7OHo6FBvfs90+wY4Vzrkxzo7HCufcGGfHY4Vzboyz47HCOTfGaW6sUMQLBXYzCBGr7GYgRc5dR0IZq7LqrFwDv3JbsUKdW7jECnVunZkDK40zXGK1FS9c5iBS55OfQ4EJ1zmIlGMWChSzIWKlYhadx/E3H3NgPubAXBx/8zEH5mCZAQAAACyLYhYAAACWRTELAAAAy6KYBQAAgGVRzAIAAMCyKGYBAABgWRSzAAAAsCyKWQAAAFiW3ewEuqv/3ovC4/F0yftdvXq1y94LrXH8zcccmI85MBfH33zMQWj07NlTNpvtps9TzIbI1avXb/uWkJBgciYAAADWdau7qXI72xBpaWnR5cuXb/nXRDB4PB4lJCTo4sWLXXLrXPjj+JuPOTAfc2Aujr/5mIPQ4cysSXr06KE+ffp06Xs6nU6+gUzE8Tcfc2A+5sBcHH/zMQddjwvAAAAAYFkUswAAALAsitluwG63Kz8/X3Y7q0bMwPE3H3NgPubAXBx/8zEH5uECMAAAAFgWZ2YBAABgWRSzAAAAsCyKWQCWcfbsWT388MMh37sZbeP4AwhHFLMWdv78ec2ePVspKSlKSUnRrFmzVFVVZXZaEePEiRPq1auX3G53q4/Lly+bnV63s3nzZo0bN07Hjh1rt5/X69XSpUs1YsQIjRw5Uvfee6927tzZRVl2X4Ee/8GDB7f5PbFt27YuyrR72rt3r5544gmlpqYqPT1daWlp+slPfqILFy749auvr9ePf/xjpaSkKC0tTZMnT9b+/ftNyrp7CXQOoqOj2/weOHDggEmZRwADlnTt2jUjIyPDmDVrluH1eo2mpiZjzpw5xtChQ426ujqz04sIlZWVxoQJE8xOI2KMGTPGOHz4sPHDH/7QaO9H17x584xhw4YZ58+fNwzDMNatW2c4nU7js88+66JMu6dAj/9Xv/rVrksqgqSkpBhZWVlGfX29YRiGUVVVZaSkpBjDhg0zGhoafP0efvhhY/z48caVK1cMwzCMF154wUhMTDSqqqpMybs7CXQO+B7oepyZtaj169errKxMBQUFstvtioqKUkFBgY4fP641a9aYnR4QdLt27dKwYcPa7XPo0CGtXbtWixcvVt++fSVJc+fOlcvl0pIlS7oizW4rkOOP0CooKFBcXJwkacCAAcrNzdWRI0f017/+VZJUWlqqv/3tb3rppZcUGxsrSVq6dKmam5u1YsUK0/LuTm41BzAHxaxFlZSUaNCgQRoyZIivLSkpSWlpaSopKTExMyA0Atm78e2335ZhGJo4caJf+4MPPqitW7eqvr4+VOl1e+ydaa6ysjINHTrUr61///6SpEuXLkm6/nvB4XDovvvu8/WJjo7W+PHj+b0QBIHMAcxBMWtRZWVlcrlcrdpdLpfKy8tNyCgyVVdX6wc/+IHGjBmj4cOH6/vf/z7H30RlZWXq0aOHBg0a5NfucrnU1NTEmrUusmjRIt17770aPny4Jk+erC1btpidkuVFR0e3ajt8+LBsNpsyMzMlXf/679+/f6u+LpdL1dXVOn/+fJfk2l0FMgeS1NDQoJycHI0bN07Dhg3TtGnT9K9//asrU404FLMWVVNTo969e7dqj4+PV0NDgzwejwlZRZaoqCjZ7XYtWLBAH3/8sfbs2SOHw6GxY8fqk08+MTu9iFRTU6PY2FhFRUX5tcfHx0uSLl68aEZaEeWOO+7Q3XffrZ07d2r//v2aNm2apk2bptWrV5udWrfS3Nys3/zmN3r88cc1fPhwSe3/XpD4+g+2tuZAkuLi4jRz5kx9+OGHKisrU1pamh544AG9++67JmbbvVHMArcpOTlZ5eXlGj16tKTrvzCKi4sVFxen559/3uTsAHN8/PHHeuSRR9SjRw85HA499dRTmjJlip5//nldvXrV7PS6jZ///OdyOBwqKioyO5WIdbM5qKys1KRJkyRJTqdTK1asUGpqqp577jkTsowMFLMWlZiYqLq6ulbttbW1io2NldPpNCErOJ1Opaena/fu3WanEpESExPV0NCg5uZmv/ba2lpJUkJCghlpRbyxY8eqrq6OLaKC5Le//a02bdqk9957z3cxktT+7wWJr/9gutkctMVms2nMmDE6evQoZ8dDhGLWojIyMnTixIlW7ZWVlUpPT+/6hCLQ559/rsbGxlbtUVFRrYopdI2MjAy1tLTo9OnTfu2VlZWy2+1KS0szKbPI4PF42rzI7r/LPvi+6Lzf//73evXVV7V9+3bdcccdfs9lZGTozJkzrX4uVVZWql+/fq364/a0Nwf19fVtLvPjeyC0KGYtKisrSydPnvQraKurq1VRUaGZM2eal1gEefrpp1tdIdzY2Kjy8nLdfffdJmUV2WbMmCGbzaYdO3b4tf/jH//Q5MmT1atXL3MSixAbN27UwoULW7V/+umniomJ4Y+JTtqwYYMKCgq0bds2JSUlSZL+8pe/aO3atZKu/17wer3697//7XtNY2Ojdu3axe+FILnVHKxcubLNpR+ffvqpBgwYwB8UIUIxa1HZ2dlKT09XXl6empqa1NLSosWLF8vlciknJ8fs9CJGYWGhzp49K+n6X9y5ubm6cOGC8vPzTc4sMqWkpOjJJ5/UL37xC9XU1Ei6/u/AY8eOafny5SZnFxnefPNNvwsgN27cqHfeeUeLFi3ij4lO+MMf/qAnnnhC2dnZ2rZtmzZs2KANGzboz3/+s86cOSNJmjx5sr75zW9q6dKlamhokCQtX75cUVFRrOMPgkDmQJLWrFmjo0eP+h6vXLlSn332mV566SUz0o4INsMwDLOTwO2prq7WggULtGfPHtlsNo0cOVJFRUVKTk42O7WIUF5erl/96le+LVdqamqUmpqqJUuWtNrnFJ2Xm5ur0tJSnTp1SpcuXdKoUaMkXb/g6MYtc7xer5YtW6a33npLDodDvXv31iuvvKL777/frNS7hUCOf3V1tdauXastW7bI6/Xq8uXL+vKXv6ycnBw9+eSTZqZveX369LnpXqb5+fl68cUXJV3/N3deXp5KS0sVFRWlgQMHqqioSHfeeWcXZts9BTIHlZWVKi4u1tatW2UYhi5evKjk5GQtXLiQs+MhRDELAAAAy2KZAQAAACyLYhYAAACWRTELAAAAy6KYBQAAgGVRzAIAAMCyKGYBAABgWRSzAAAAsCyKWQAAAFgWxSwAAAAsi2IWAAAAlkUxCwDd2IsvvqgdO3aYnQYAhAzFLAB0Y8uWLaOYBdCtUcwCAADAsihmAcDCKioqNGXKFLndbrndbk2YMEG//vWv9dFHH8ntdkuSiouLfc8fOHBAktTS0qIVK1Zo2LBhGjFihEaMGKFXX33VF3fPnj1yu92Kjo7WnDlztGTJEn39619X3759NWnSJB09etSM4QJAKzbDMAyzkwAA3J6hQ4cqOztbL7zwgiTpl7/8pQoLC3XixAlJks1mU35+vl588UW/1/3oRz/Sxo0btXPnTqWmpurgwYO6//77NX/+fP3sZz/z9Rs8eLAuXLigVatWae7cubp27ZqmTp2qI0eO6ODBg4qOju6qoQJAmzgzCwAWVVNTo2PHjmnIkCG+trlz5+qxxx5r93VHjhxRcXGxcnJylJqaKkkaMWKEHn/8cb3yyiu6cuWKX//k5GTNnTtXkhQTE6OXX35ZlZWV+t3vfhfkEQFAx1HMAoBFJSQk6M4779S8efO0aNEi7d27VzExMX5nVtvy97//XYZhaPz48X7tI0eO1JUrV/TJJ5/4taelpfk9vuuuu2Sz2fThhx8GZyAA0AkUswBgUTabTTt27NC8efP0+uuv66677lJaWprefffddl9XU1MjSXrmmWd8a2ndbreWL1+ufv366fLly3794+Pj/R7b7Xb17t1bZ86cCep4AOB2UMwCgIUlJiZq5cqVOnPmjN555x1FRUVp5syZOnjwYLuvkaR169Zp7969vo+KigqdO3dO06dP9+tfW1vr97ipqUl1dXXq379/0McDAB1FMQsAFnX+/Hk9/fTTkq6fLZ02bZrWr1+v5uZm364Fdrtd/73Ot6KiQnv37tWkSZNks9m0b98+v3hXr17VrFmzdOHCBb/2/fv3+z3+z3/+I8MwNG7cuFANDQACRjELABbV0NCg4uJi7d6929e2c+dOxcXFacyYMZIkl8ulqqoqSdLLL7+sLVu2aOjQoXrqqadUWFiow4cPS5K8Xq/y8vLU2Niovn37+r3PpUuXtG7dOknStWvXtHTpUrlcLs2ZM6crhgkA7bKbnQAA4Pb069dPixcvVk5OjqTr//5PSEjQe++9p4EDB0qSCgsL9eyzzyojI0OJiYkqKiqSJK1atUrJycn69re/LbvdrujoaD344IN68803W73PlClTdPHiRY0ZM0aVlZUaNWqUtm7dyrZcAMIC+8wCAG5q8ODBeuCBB/T666+bnQoAtIllBgAAALAsilkAAABYFsUsAKCVPXv2yO1268yZM9qyZYvGjh1rdkoA0CbWzAIAAMCyODMLAAAAy6KYBQAAgGVRzAIAAMCyKGYBAABgWRSzAAAAsCyKWQAAAFgWxSwAAAAsi2IWAAAAlvV/7nyjOVDKbuEAAAAASUVORK5CYII=\n"
        },
        "metadata": {}
       },
       {
        "output_type": "display_data",
        "data": {
         "text/plain": "<IPython.core.display.Markdown object>",
         "text/markdown": "**Steps to reach tolerance -1e-06:**  Newton = **28**, gradient descent = **28** steps (did not converge).  Winner: **a tie**.  (On a quadratic, Newton’s step size $1/f''=1/4$ is the exact best $\\eta$, so it lands in one step.)"
        },
        "metadata": {}
       }
      ]
     }
    },
    "f63b2ea571a241318dcf3cea159ff62a": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "model_module_version": "1.2.0",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
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p9/XRt5sLPiUk4aWChzknJadhztSx0NLUAI/Hw9gRHuDxuLhy855UuYMnzuPxiyBM9hwG+7Y24HA4qKWliQUzJ8LYqDa8t+yCQCAs9rGeBQYjKTkVPdw6snfejQwNMOvn0aUa2h4UHIb/HTiJbi4OGDGgN1RVVKCqIumJ7+bigONnLyP4jWS0B8Mw+GPVJuTl5WHlgl9hVFsfANCscUPM+WUs4j4lYue+40U+jryv0ZLk5ORi/owJ7HN27dgewwf0wrPAYJzx+5IYa9O/BxEe9Q7Txo9g7xxp19LCHzMnQVNDHYu8t0gN2+/q4oCEpBS8+HxXCJDc/dHU0AAAXPb/8jcUCIS48/Apujrbyx23okREvwcA1PmcG6Gg2vp6+HPuL8jI5OO3xX9BKBTi3GV/BLx+g9mTRxd5vfxe/MiY93I9vucwd/if2iP3j+cw97I9UQApqek4e+kG7Nu2QmenDiWWZxgG+46dhVFtA0wYNajQcX52DlLT0qX2qaurwXvhTHA4gNfSv5CWkYnHL4Jw/NxlLJ07Vars88BgzFv+N1YvnAHrFs3wKTEZm/49WObnR0hNtufwKUS9+4gpY4bB1qo5AMBAXxdL5/yCTwlJcl8nPPodImM+wM2xPTsiSEe7Fub8MhZmctxBL6isbSR52hjZOblYsGoTtLU0sWzeL+yUqPp16xRavSk+IQmrN/0Ly2aNMXOSpL3D4/HQ2ckOw9x74faDp7h++2GpnltRVmzYiU+Jyfj91/EwaSAZWWpooI8lXlOQk5uLP1ZtBsMwcl8vJS0d0yaMhLq6GjTU1TFqcD+IxWKs3boHU8YOY/f/NKQfRCKx1OeqvBTVnktNy8C4ER4w0NcFl8vF6CH9oaKigg0792O4Ry/U1tcDl8uF57D+UOHxcPHa7VLHKkt51dPg/j0gEAil2kKApJ33KTEZXZwlIxkyMrPw4OlLOLRrhfp1Je1vdXU1/DrhR7Ro1khqFExpXbn1ADaWzdDE3BQAoKLCw8iBfeDs0BYaGvJNKakMbU1SPOpAqCYcvhqao6+nC+sWTfExLkEqG/k/axaySdny6WjXgrFRbYSGR5X58Vt//vDPV7+uEQDJh2A+w9qSLyqrN/2LVyFv2f1Odm2wcsGvJT7GZf97EAiE6NypQ6Eh9Z0/D++6cOVW0fF9/rBh46snecOM/yR/I0UelhaNpYZ9aairw0BPT6oeAOD8lZsAAGeHtlL7VVVU0KJpIySnpCHw8zB2WfLfUDf/ewiPngVCLBYDkLzB/vv3MrljvnBVUmed7NsWOmb9eZj/zftPAAChb6PwNjIGLZs3gaGBvlRZG8tmUmW/Ju9rtCR2bW3A40l/uHWyk8R+5eZ9AJIPn4tXJR/2XTpJf8nX1FBHxw6tkZqWwQ6bA4BuLpJES1duPWD3Xfa/h0mjh6COoQGuFth/9/FzNDVvyH75rkgpqWkAJMNei9LJvi2GefTCq9C3+H3FRqzZshveC2fKnAuq9TnPQmpaRvkEXEYMw2DZun+graWFVQt+LfQ/X5RDJy8g4PUbrFk8q9DUAn52DnqPmIzOA8exU0TyWTQxx/TxI/ExLgFzl63HvOUbsOS3yVLX4GfnYMKsJUhKScPMhd7w8JyOcTMWFvrfJoTI59ptyXuqU4fWUvt1dWqxnz3yMNDThQqPh73HzuL6nYcQ5n2exqSrg3P7t5QqprK2keRpY9x/8gLJKWmwa9uKvQGS77t6xvj376UwrC15z7nsfw9CYR462UtPVQMAG0vpz+WySsvIxO0Hz2Cgp8vmjslXz9gILS2aICL6PV5/voEgD8tmjaWmVtQzlkxjtWhi/tV+SRux4E0meSmqPaehrgaLJubstrq6Ggz0dKCqoiK1X0NdHfp6uoj7lFjqWGUpr3rq09UZWpoaOHHuslTHz7Gzl+DeqzN7bQ0Ndehoa+GM3w2cu+SPnFzJqiYcDgfH/reu0PTj0jCqrY9bD57i4MkLyMj8snrS1tV/yJ38tDK0NUnxKAdCNVGniC8ydetI3nhiPsSy/3CSbObn8CIoBMmpaWyjPH8eV1nVNpBurKt9Xlc+fz4yAPRwc8TLV31x5NR/GDbJCw3qGcO1Y3u49+qC5k3NUZLodx8BAMZGhePMf7OLfv+xdPHl5RVVvMyKmg+tpqZS6HGiYiRx/jhlXqHyAoEQmpoaSEhKLvaxrFs0w8xJP+EfnyMYN3MRjGobwMWhLX7o4Ya2rSyLPbegyJgPAIC/tvlg4/8OSB0TiUTQ1NRAUkqqJO53krJBwW+l5lPm09TUYBMAfk3e12hJivrSXvfza/fdB8n81uTUNKRnZEJHW6vIL9r5DcSoz88dkHwoGdcxxLVbDzD3l7EQCoW49eApZk/xxJvwKBw97YeA129gY9kMV2/eRzdX5WR2zn8tqfBk3yGYPXk0Hj0LxKUbdzHxp8FSjaGv5XfGCITFj3ipaGu27sGLoFDs3bxCro6aq7fuY/2OfVizaDba2xbOp6KqwkO9OkbggMOupFDQ6KH9cefhM9x99Bx9u7kU6lDT0tTAkytHy/6ECCFSYj6/Xxc1mqqOYeF9shgb1cayub9g1aZ/8euC1dDV0YaTXRv06eYMpw6tC+UfKk5Z20jytDHyP/fzvxR+za5AEtn8z6YDJ87j+LnLUuXEIjE0NTXYHFVlFfNeku/IuE7RdV3wc7KlReMiy3zNQE9XaltVRbXI/fn1k51T+uU4FdWe0/8qJgBQVVUpcr+amgqycxSXaLi86qmWliZ6d3XGiXOX8fBZIOzb2iAjMwuXbtzFyQK5BVRVVPDXEi/8sWoT5q/ciD//3gGHtq0k+bOc7UrMr1GclQtmYN6f67F6079Y948P2ttaoYdbR/Ts7CTzxsfXKkNbkxSPOhCqMeFXXwjCIqIxcvJcfFfPGCsX/IrmTczZD9YeQyd+02PJ8wHN4XAwd9o4jBsxAJdu3MVl/3s45HsRB09ewLiRAzBj4qhviqHY+DgVM9iGwy35LikA5N9MPbtvi1Rm99IaO8IDg37ojqu37uOy/z2c9ruOkxeuondXZ6z+Y4Zcd23zyyyb+0uJiXoASVnHDrbYtOL3Msed7+vXaFmVNN1DHhwOB1072eOQ7wUEBYchOTUNzRo1RG19PXRzccDR0364cvMeWjRrBP97TzBNRtK/8pY/pUIozJOZ5EhDXR2tWlogIvo9Lvvfw/iRA6GpoV5k2fxOvvzrlsTnyGn4HD0jd7yeQ/uXehrDun98cPnGXeze+GehhK1FuXbrAeav3ATvhTNlvoZVVVVxZOdamdfgcDhoZ2uFh88Cce/xcyQmpShlhAkhNY1AkFfojnxp/dDDFd1cHXD99iNcvXUfV2/dx8Wrt9De1grb1y6SKyHct7SRStPGkOdzL/9zecqYYRg1+Ae5r61sstpA8raN5KGo9hxXRkyy9pcGIy5+2kd51tOQfj1w4txlHDvjB/u2Njh3+SZaW7fA9/XrSpVzbG+LS8d24s7DZ7h68z6u3nqA63ceommjhtj19zJ2Gk9ptbRojLP7t+Dhs0BcvXkfl/zv4t7jF9ix7xh2/LUYZibyTCuqnG1N8gVNYagmEpJSCu3LH1pr+nle2+n/riM7JxeTfhoMy2aNS9UrrwhisRhisRhGhgYYOagv9m5ZiZO7/0aD+nWx66Avmx1ZFjPT7wCgyCHD+fvke2NSvvw4ixoSx+dn4/6Tl8j6nDFXFoZhIBaLoatTCwP6dMX2tYtw8dA/aGnRBBev3sLj50HyxWIqOxYAePwiiB0+Z/75byCrbPT7jzKXz5PnNSqPxCKu8ylRMlrDpIEk90NtfT3o6WojI5PPZh4uqrx5Q+nXS1cXyXSHyzfv47L/fXRzcQQAtGvVEgZ6urhy8wEePHkJM5PvZN5FKm/5o23SM4rufQeAW/ef4HlgMKaPH4momA9Yu3W3zLLpmZlS1y1JeedA8N68C5du3IPPpuVsBnChUCg17akgv+t38fvKjVi7aJbUet9vwqNL/B8qKPhNBI6fvYQ/Zk5Ccmo6/li9uVRxE0JKx/Tz+3VRo+1KGoFXEMMwEIlE0FBXR++unbB+2RxcPf4vOtm3xeMXQew0vZKUdxsp//NG1rSnT4nJ7OeVWQmftYHBb9i7tGVl+v134HK5xcZTMG5SmApPBXl5hefV54/aVIYWzRrBqnkT3Lj7GIlJKTh+9hIGF7FqkUgkgqqKCtw6dsCK+b/ihu9uuPfqjLCIaBzyvVDmx8/LE4HD4cC+rQ3+mDUJ10/uwoRRg/AxLgH/239CrmtUhrYmKR51IFQT95+8lNr+lJiMV6Fv8V29OuzQs/ykKF/flc7NFSAxObXI62pqaEi9OZ66eA1+n5deKa3te49hxd87pfY1bdSQvWNYcK5UUbq7doSamiqu3X7AzvfPl59MqE835zLFVpL8u7d5n4fI5eWJsGLDzjLN3wOAvt1dAACX/QvXpe/Fq5i3/G+oqRY/QOiM3w1Mmbtcat939YzxQw9XAF++GBaMP3+IX0TUO6zdukcSS1fnz7EUTtIT+jYSY39dyA4Va9bYDE0bNUTo2yjEvI+VKsswDLyWrMN/MhINyfMalcfDZ4GFEuHk//3z8xhwOBz07iJ5Xldu3Zcqm52Ti7uPnkNfTweO7aXn3ra1sURtAz1c9r+Hm/cfs0kSeTwe3Jw64ENsPLbsPsw+jjI0/zwd4aOM115SSiqWrtuO1X/MxPgfB6Jjh9Y4fvYybtx9VGT5/A/oZo0blk/AcmIYBsvX78CNu4+xZ+NyNqEXAHxKTMGwSV6Fzjl/5SYWr9mCv5fNkVqaEgCmzV+B13LOd8zJzcW85X9jwcyJGOreEwP7dsPdR89x8MT5b3tShBCZ8vPT+N97LLU/IzMLQTI6DIvy5MUreHhK51Ey0NfFkH49AEh3tn79WZ6YnIoVG3aCz88uUxupNBzatYJhbX3cf/JSKoEvIFmGr8vAcQiPfgegQHvn1oNCn3dJKanwnP4HwqPkS3yrqaEu1Y7be/QMHjwNgJ6ONjrZtUFqWgYev5C+4RD3KRGvQt+isZkJWjRtVJanWyPUrWOI5JQ0qVGQ2Tm5eBUq/+u3PAzu1wN5eXlYsnYb0jMyC30+foj9BIc+P0q1pbW0NDFqcD8AQHqGdHs8MSlF7rv4rbsMkvp/UVVVxbgRAwpdV1Mz/3/xy2tz484DCH4TUSnamqR41IFQTfx37TZeBIWAYRikZWTiz3XbAQALZk5i5zj3cOsIVVUVbN97jM3knpGZhSVrt8kcAt6sUUMkp6QhISkZ/Owc7D7k+009q+ev3MS9xy/Y5C4RUe9w7bZkyJRFY7NizzU2qo1508bjQ+wnrN++j0368vhFEPYcOY02Npb4qZyG+pl+/x3U1dTwJjyafcyT56/IHBZekhED+6C9rRX2Hz+HG3cfsaMJrt95iM3/HsJvUzyhqlrykMsHT1/iwpVbbAMj7lMizl/2h7FRban5lM0+1+2bz0mgzl+9xTYYWjZvggmjBuFZwGvs3H8cubkCAJLOgznL1mNg325sjgoOh4M/502DlqYGFq7ejA+xnwBIXkfL1+9AanoGxgz3KDJWeV6j8hAIBFi9eRd7d/nmvcc443cDbaxbwL1XZ7bctPEj0NjMBJv/PcQmzsniZ2PF3zuRnZOLZXN/KTQfj8vlorOTHT7ExqNRQxOpIez5nQmvQ8PRVYkdCE52bdg4irLIewuGe/RCy+ZNPv+9foGBni6WrNla5OiN/BU28hNRKgPDMFi6dhuOnvFDh9ZWOON3Hdv2HGF/Dpw4V+icM37XsWDlJlhbNsPLV6FS5bftOVJih2RBf23zQdtWlujsJOnMnPPLWJiZfIe/d+zH28gYhT1PQsgXY4Z7wMzkO+w9coZd/SY1LR0LV2+We0pVvsiYD9h79Az7JSclNR0nzl2GlqYGuhRYLaepuSk4HA6bEPHmvce4dP0uNDU1ytRGKg0NdXUsnzcNAqEQf67bzr5HvfsQiz9WbUY3Fwc2yVx+e+djfAJWbfwXmVl8SdmPcZi1cA3a21rB1bGdXI/btFFDxHyIBT87B8mpadix7zhyPs+pnz9jAoyNamP1pl3sF7Xk1DQsWbuNjVeeqZA1VVcXB+SJRNh9+BREIhH42TlYs2V3kfPwK1KvLp2go62Fm/efwKN3lyJXVcjOzsG6f/ayo16y+Nk45HsBKjweenVxYstd9r+HzgPHYdikOXI//potu9kVjwQCIfZ+nvaYf/MMkIwUNaptgPCoGOTliRAZ8wF7jpwCj8erFG1NUjwOU5r1WUilM+bXP/DkxStc992FtVt98CIoBKnpGWhqboqpY4fD8atspI+fB+Efn6MIDY+CCo+LOka1MbBvN+w5fBrxCUkw0NfFrxN+hEfvLgAkH1ZL1mzFm4hoqKmpwb6NNRb/NgWPngfij9WbkZaeiby8PBjW1mfnOrt6jAE/OwfZ2TnQ1dGGdYum2L52Ed59jMOpC1dx59FzJCWnQiQWQ6eWFtyc7DB2uHuRiWuKcv/JS+w5fAqhbyMBSDIt9+nmAs+h/dlM828jYzB+1mJkZvKRKxDAQE8Xvbt2wrzp4zFsohei339EZhYf2rW0ULeOIU7v3VTi45677I9/fI4iM5MPHe1a+Hn0EPzQwxV/rNqMW/efICUtHepqatDW1sKRHWvxIigEqzfvYhMdfV23+W+qF67eQmJyCjQ1NNDw+/rwHObOfkksTmJSCnwvXsXNe08Ql5DEDuHs2N4W438cyC7Nk2/t1j3479ptiBkG9Y2N8MfMSWjZvAl73O/6HRzyvYDwqPfQUFeDoYE+PPp0wZB+PQq96Ua//4jtPsfw4GkAGDDQ1FCHQ7tWmDhqcKGh/aV9jRZlwJgZiE9IQnpGJiZ7DoV2LS2cPH8FKanp4PK46OHaEdMnjGSXdsyXkZmFfw+exJWb99kOB5sWzTDxp0EyswHfe/wCk35binnTxmHkoL7sfqFQCBf3Mfj+u7o49r91Uuec9buB9Tv2Sf0/dHNxwIIZpc8tMmXucgQFh0m9nsxNG2DPxi+jTQaNm4laWlrYu3kFu+/oaT9s23MYyanpqG2gh8W/TZYs+TXRC28jY5ArEEC7lhbs2lhjw/IvyTvHzViI5NR0nPLZWOpYFeVD7Cf0HDapxHKBN0+xv/cYOhEf44ofAbR7w59o37pwQsV8N+89xuK125CUnAp9PR1M9hyGEQN6Y8Yfq3HvyUtkZ+dAU1MDjUy/LzZ/AiGkbBKTU/H3jn24ee8xVFRUYFRbHz8N7oeHzwNx1u8GDPR0YdWiKbZ5/wH30dORkJSC9IxMaGpqQEtTAwe3eUNPVxunLl7D9TsP8f5jPIR5eVBTVUVr6xaY8ONAdjm5fD5HTuPgyQsQCIWora+H36Z4ouPnlSDkbSNZt2ha5jbG6zfh2LnvOJ4HhYDD4UBHuxb6ftWGyZff3nn9JhzqamrQ0a6F3l07YdTgfnLfwHgVGo7l67fjfWw81NXU0MOtI36b4sl2DCQkJWO7zzHcevAUAqEQPC4X7WytMNlzKDuNrDhFtYGO/7sOPkfO4Nwlf7n2/7t+Ka7cvI+jZ/yk2kyjBv8AF4d2pa7rn72W4XVouNRjrFvihciY99iy+7DUY+R/Tq/YsFOu/b+MHY5Bn6cEiEQi7Drki1MXryEtPRNmJt9h6tjhuHjtNvv6bWVlgc0r5yusnr5+PcuyYsNOHDtzCX5HthdqDwqFQpzxu4Grtx4gMuY9BII8qKjw0LypOcaNGMAuqwpI/id+/WM12tm2lCsfwfkrN3HF/z5Cw6OQmysAl8uBecPv8dOQfnD+KjnxvccvsHbrbiQmp0JLUwPDPXpLTXus6LYmkR91IFRx+f8wBRvWhFQm9BpVvGcBrzF2xkJsXD6v0NDE0rj3+AUmz/kT/65fWuwXbUIIIYSQyoramhWLpjAQQkgV08bGEkvnTMXC1VvwLOB1ma7xKuQtfl+xAQtmTqTOA0IIIYQQIhdaxpEQQqqg/j07o+H33+H67YdoY2NZ6vP97z3GX0t+Q3tb6jwghBBCCCHyoSkMVZQi51wTUh7oNUoIIYQQQsoLtTWVgzoQCCGEEFKjCIVCrF+/HsuWLcOrV69gZmbGHnv//j2mTZuGunXr4t27d1i6dCnatZMv4z0hhBBS3VEOBEIIIYRUCbGxsejZs+c3Ly23fft2uLi4gM/nFzo2ZcoUDBw4ENu3b8fKlSsxZMgQdqlcQgghpKajDgRCCCGEVHq+vr5wcHBAeHh4seU+ffqEkSNHwsLCAhYWFhg0aBDev38vVWbatGmwt7cvdG5ycjLOnz+Pvn0lS7i2atUKIpEIt2/fVtwTIYQQQqow6kAoBsMwyM7OBs3yIIQQQpTL29sbV65cQceOHWWWEQgE6NatGwQCAV69eoXXr1+jVq1acHNzQ2ZmZomPERUVBTU1Nejr67P76tWrh8jISLnjpLYDIYSQ6ow6EIqRk5MDLS0t/PrXIWWHIrfo97HKDqFaonotH1Sv5YPqtXxUlXodtXgPzPrPV3YYCnf37l00bdq02DJ79+5FQEAAvL29oaKiAh6PB29vb0REROCff/6pkDjz2w45OTkKuV5Ved1VBVSXikH1qDhUl4pDdVlxqANBDtceBSNXmKfsMOSSIxAqO4Rqieq1fFC9lg+q1/JRFeo1MTUT9wKKH+JfVamolLzy9MmTJ2FqaopGjRqx++rVqwdLS0ucPHmyxPMbNmwIgUCA1NRUdl9cXJxUksWKVhVed1UF1aViUD0qDtWl4lBdVhzqQJBDRnYubj57o+wwCCGEkGL9dz8IIrFY2WEoTUBAAMzNzQvtNzc3R2BgYInnGxoaok+fPjh//jwA4OXLl+ByuXB2dpZ5jlAoRHZ2ttQPIYQQUl2V3J1PAADnbgegu52lssMghBBCZDp3O0DZIShVYmIi2rZtW2i/rq4u+Hw+srOzoampiVu3buHYsWMAgMWLF8PDwwPu7u4AgG3btuGXX37BnTt3EBMTgyNHjoDH48l8zBUrVmDp0qWF9r+JfAcNDY1vfk5isRihETHffB1CdakoVI+KQ3WpOFSXimHRyLTEMtSBIKerj4LBzxFAS0NN2aEQQgghhcQlpeHx62gAgLoafbwXx9nZGc7OztiyZUuhYyYmJjhz5ozc11qwYAHmzp3LbmdnZ8PQ0BDNzE2gqan5zbGGRsTI1aAjJaO6VAyqR8WhulQcqsuKQy0MOWXnCnHtcQh+6GSj7FBIOROLxRAIBNL7RHkKS4hFvqB6LR9F1auamhq4XJq1Vp1duBvEZv7v2r65kqNRDiMjI2RkZBTan56eDi0tLYV8of+aqqoqVFVVFX5dQgip7IpqMysLtSnl961tQupAKIVztwOoA6Gay8zMRFRUFMRfzSEWicV486bkJcBI6VC9lo+i6pXL5cLMzAza2tpKioqUt4LTF/o61czPKhsbG4SEhBTaHxkZCWtrayVERAgh1ZOsNrOyUJtSft/aJqQOBDlwuRwAgP/TUKRn5UC31rfPaSSVj1gsRlRUFLS1tVG3bl1wOBz2WF5enlwZwEnpUL2Wj6/rlWEYxMfHIyoqCpaWljQSoRp6F5+MF2/eAQBqaajBra2FkiNSjgEDBmDSpEmIiopiV06Ij49HcHAwVq1apdzgCCGkmiiuzaws1KaUjyLahFTLcrBv2QgPXsdAkCfC5YevMahzG2WHRMqBQCCAWCxG3bp1Cw1zpTel8kH1Wj6Kqte6desiPT0dAoFAIYndSOVy/s6XFQa621tCQ71mDqn39PTEli1bMHfuXBw8eBBcLhfz5s2Dubk5Jk+erOzwCCGkWiiuzaws1KaU37e2Cek2lBz6dLRif6/pGa5rgsrQi0qIotHrunor+NlUXafaeXl5wdbWFmfPngUA2NrawtbWVmr+rZqaGq5cuQIejwdLS0u0aNEC6enpuH79Ok3fIYQQBaO2RdX0rX836qaRQ9cOLbBszyUI80S48+ItktOzUFu3lrLDIoQQQhD+PgGvI2MBAHramnBq1UTJEZWPtWvXylWubt26OHToUDlHQwghhNRMNAJBDvo6WnBu3RSAJEHHf/eClBwRqamysrLQp08fODo6wtbWFtHR0Th//jxOnz5d7HlRUVFYvXp1pUl0QwhRnPN3vow+6GnfEmqqdG+AEEIIKcqAAQOgoaEBf3//Esvm5OTAxMQEfD6/zI8XFBSEAQMGwNnZGS4uLrCzs8OiRYvw8eNHAJLOcTMzM+jp6cHV1RWOjo5wdXWFr69vmR+zvFErQ04/ONng2mNJZudztwMwsqedkiMiNdGRI0cgFApx7949nD9/HlFRUdi+fTs7pFeW/GRiK1euxB9//FEBkRJCKgLDMDhbA6YvEFJRMsNCELP3f8gMC4V2UwuYjp4A7aY1c1lUQqojX19ftl1cEg0NDQQGBkJLS6tMj/Xy5Uv06tULx48fR8eOHQEA7969g4uLC4yNjfHLL7/Ay8sLWVlZuHr1Ktup8erVK/Tt2xdhYWGYO3dumR67PFEHgpy6dmgBdTUV5Ary8PBVFOKT0lHXUFfZYZEa5v379/juu+8AAH379kXLli2xe/duuTKozpgxA6amphg7dix7DUJI1RYSHYfw9wkAACO9WrC3NldyRIRUXZlhIXg2YQSYvDxALEb2h3dIvHMDbf53iDoRCFGgqtRRp6+vX+Zzp0+fDk9PT7bzAABMTEywYMGCYkcFt2zZEhs2bMDAgQMxePBgNGrUqMwxlAeawiAnbS11dGkneWEzDIML9wJLOIMQxdq5cyf27NkDPz8/uLq64ubNm4iKikK7du0ASIZAGRgYoGHDhnj79i1+/vlnGBkZsfOGNTQ00KZNG5w8eVKZT4MQokDnb3/5LOrlaAUVHk+J0RBStYVvXQdGIADyG/ZiERiRCDH7/lVuYIRUI/kddQk3ryL7XRQSbl7FswkjkBkWopDrL1u2DPXq1cP48ePh7u6O9u3bo0+fPkhMTCyy/IcPHzBw4EB069YNHTt2xJIlS9hjI0eOZKc7CAQCuLq6gsPhYOvWrejduzcaN26MU6dOFXndxMRE3Lp1C927dy90bNy4cZgwYUKxz6N///7Q0dGReX1lohEIpfBDJxtc/Jz/4NztAIz9oWMJZ5Cq7sB/D/H34avIzM4tt8fQ1lTHzOFd8WOv4qfFTJw4ER8/fkRUVBR8fHywf/9+mJqagvf5C4OXlxdMTU0xZ84c1K1bF82aNcP+/fvRq1cv9hpNmjTBs2fPyu25EEIqDsMwOHeHpi8QogiZYSFIfXS/8AGRSGFfbAipzj6eOoqo/22FiJ9VbDmxUAgwBe6+iyQddU89h4CrWvwSxDytWjCbMBXfeQyVWWbRokWIiIiAv78/nj9/Dh0dHUycOBHTp08vMsEun8/H+PHj2faym5sbrl27hi5duuDgwYO4e/cuAMkqP/7+/uBwOMjKysLFixdx7NgxzJs3Dx4eHoWuGx4eDgBo0KBBsc+pOGZmZux1KhMagVAKbm0tUEtDDQDwPPQd3sUnKzkiUt52nr6NpLQs5Aryyu0nKS0L/zt9u9SxxcfHQ0dHR2rf0KFD0aZNG/z4448ICwuT6jwAAB0dHcTHx39TnRBCKoeAtx8QEyf5HKpnqIt2LRoqOSJCqqbMsBAEzp4s4yin0g6tJqQyeXdwD4SpyRALcov9keo8KIgRl3iuMDUZ7w75yBVPnz592HbyqFGjcOLECYhEokLlTExMcO3aNTZ5YXBwMJ4+fVrstXv27AkAsLGxQWRkZLFlGYZhf//w4QNcXV1ha2uLYcOGlfgcKmvyc+pAKAUNdVV0t7dkt8/foWkM1d1E904w1KsFdTWVcvsx1KuFCe6dSh0bwzBFruO6YcMGnDt3Dr179y50jMPhVNo3I0JI6ZwrkDyxr5ONXLlQCCHSPl3zw1PPIRAkJsgowcD0p/EVGhMhVZHJyDFQ1a8Nrpp6sT/gyPis4nBLPFdVvzZMRnjKFY+BgQH7u6GhIYRCYZHTGFavXo1bt27h2rVr8Pf3R8+ePUtcdUFXV5IHT0NDA0KhsMgy+XkLPnz4wO5r0KAB/P390bdvX8TFxRX7GAzDIDo6Gk2aVL6lmWkKQyn90MkGp/xfAJA03iYPdFFuQKRc/djLDj/2skNeXh5UVCrXv4uxsTEyMjIK7ffx8cHUqVMxc+ZMdOnSRSpzbEZGBurWrVuRYRJCyoFIJJZavrGvk7USoyGkasoMC0HwIi+gwB3Crxl0cKQRCITI4TuPocVOLcjHJisViQCRCODxwOHxFJ6sNDn5y0jxxMREqKqqwsjIqFC5R48ewdnZGZqamgAgs0OgtOrUqYNOnTrBz88Pbm5upT7/9OnTyMzMhLu7u0LiUSS6XVFKTq2aQE9b8gJ7HRmLt+8/KTkiUlPZ2Njg3bt3UkOjXr58iYyMDGzevBkWFhaYP3++1DlRUVGwsaF50oRUdY9eRyEuKR0AYFqvNlo1/V7JERFStWSGhSDQa2qxnQccNTU0mjqrAqMipPrTbtocbf53CHVcu0HT1Ax1XLuVy0only9fZm+07du3D4MGDWLzhhXUpEkTPH78GGKxGFlZWbhz547CYti0aRP27t2LmzdvsvtSUlLw4sWLYkcNvnr1CrNmzcKyZcsq3QoMAHUglJqaqgp6ObRkt2kaA6koO3fuhI+PD/z8/NClSxe0bt0axsbGePnyJQBg//796NOnD968eQMAiImJwebNm9k5VkKhEI8ePcLAgQOV9hwIIYpx5uYL9nd351ZFTmcihBQt/w6o4JPsnEDqxvVo+UZCyol20+aw/PMvdDhyHpZ//lUu/2ddunTBmDFj0L59e3z8+BGbNm0CAAwYMABxcXGYMWMGnj59ivnz54PL5aJNmzaYOHEiGjVqBB8fHxw6dAgjR46UKpu/osKwYcOQlpbGtrGLWmkBAGxtbXHlyhWsX78eTk5OsLOzg6urK6ytrXH48GEAklXUfHx8EBgYCFdXVzg6OmLKlClYu3ZtoRuBlQWHYYrpeq3hsrOzoaWlBT6fzw5rAYC7L99i5KLdAIBG3xnh2raZlabxFhoRA4tGpsoOo0rKycnBmzdv0KxZM2hoaEgdq4xTGADgwoUL2LdvH44ePVpi2W3btiEqKgpr1qypgMjkU1nrtaorql6Le30T+VSW99dcYR7aj16J9KwcAMDVrTPQ5HtjJUdF8slqO5RVZXndVQehETFoIOIj0GtqsZ0H4HLRds8x6jyQgV6TilNV67IytikKtn08PT1hZmYmtSQj+eJb/340AqEM7K0aoY6BJKtnxMdEBL79UMIZhJSPPn36oHfv3iWuERsdHY3o6GisWLGigiIjhJQX/6dv2M4Dq8bfUecBIXISRkeUOPIAHA5aLF1DnQeEECID3forAx6Pix+cbLD7nGRd0NM3X8KG5p8SJRk9enSJZRo2bAhvb+8KiIYQUt7O3nrB/t7fuZXyAiGkisk4vAuMQCDzuLpxPVit3UKdB4RUYcuWLYOfnx80NDRgYmKCcePGKTukaodGIJRRf5cvjbZzdwIgEtHSeIQQQspXBj8HVx+HAJAsy/pDJ0qKSog8MsNCIAh6LvM4R02NOg8IqQYWLVqEuLg4REVFUedBOaEOhDKyadIA5t8ZAgASUjJwLzBcyRERQgip7vzuv0KuIA8A4GBtjnqGekqOiJDKLzMsBIGzp8g8TgkTCSFEftSBUEYcDgf9XWzZ7dM3XyovGEIIITXC2VtfPmv6O9sqLxBCqojMsBA8Gz8CgkTZy27TyANCCJEfdSB8A/cCHQiX7r9CTq5QecEQQgip1j6lZOBugGS0m5oKDz0LLClMCCksMywEgb9NBSOUnffAoIMjdR4QQkgpUAfCNzCrb4hWn5MnZmbn4urjYCVHRAghpLo6fycAYrFk5WW3dhbQ0/72JQIJqa4yw0IkKy4kyF5xgaOmhkZTZ1VgVIQQUvVRB8I3cqdpDIQQQirAmQKfMQU/ewghhYVvXVfiiguU94AQQkqPOhC+Ud9O1uBxJdV489kbpGbwlRwRqYkGDBgADQ0N+Pv7l1g2JycHJiYm4PPL/loNCgrCgAED4OzsDBcXF9jZ2WHRokX4+PEjAGDt2rUwMzODnp4eXF1d4ejoCFdXV/j6+pZ4bbFYDG9vb4SHS4Zqe3p6wtXVVeonMzMTAODj4wNbW1upY4aGhnI9TkWLiorC6tWrIRbTii2k9CI/JuJl2HsAgI6WOtzaWSg5IkIqr8ywEKQ+ui/zOK24QAghZaei7ACqujr6OujYqjFuPQ+DME+EC3cDMbKnnbLDIjWMr68vzMzM5CqroaGBwMBAaGlplemxXr58iV69euH48ePo2LEjAODdu3dwcXGBsbExfvnlF3h5eSErKwtXr15lOzVevXqFvn37IiwsDHPnzpV5/ZUrV4LH46Fx48bsPlkdI2pqatiyZQucnJwAAEKhEM2aNUOPHj1K9ZyWLFmCqKgo+Pj4lOq80sj/+6xcuRJ//PFHuT0OqZ7OFEie2NPBChpqqkqMhpDKKzMsBC+nT5B5XN24HnUeEKJEcXw+0nJzC+3XU1dHvTK2TasDMzMz+Pj4wNXVVdmhlIg6EBTA3cUWt56HAZAMMaUOhJopMywEMXv/h8ywUGg3tYDp6AmVtoGir69f5nOnT58OT09PtvMAAExMTLBgwYJi7663bNkSGzZswMCBAzF48GA0atSoUJmPHz9i06ZNiImJkSuWESNGSG1funQJTk5OqFWrlpzPpmLNmDEDpqamGDt2LL777jtlh0OqCIZhcObmC3a7v3Mr5QVDSCWVGRaCiC3rkPJY9sgDgFZcIESZ4vh8dDpxAtkiUaFjmjwebg8aVKM7EaoKmsKgAN3tLNm7QY9eR+H9pxQlR0QqWn6ypoSbV5H9LgoJN6/i2YQRyAwLUcj1ly1bhnr16mH8+PFwd3dH+/bt0adPHyQmJhZZ/sOHDxg4cCC6deuGjh07YsmSJeyxkSNHstMdBAIBXF1dweFwsHXrVvTu3RuNGzfGqVOnirxuYmIibt26he7duxc6Nm7cOEyYIPuuDwD0798fOjo6Mq9/6tQptG7dGhoaGlL7f/75Z3Tq1Am9evXCjRs3ZF7/4MGDGDVqlMzjS5cuhYODA9zc3DB06FDExsbi6NGj8PHxgZ+fH1xdXbFixQoAQHh4OLp37w4XFxd06tQJ9+7dAwDs3LkTZmZmGDBgAEaMGAEHBwd06tQJkZGRAAA+n48hQ4bAxcUFTk5OmDlzJvv4GhoaaNOmDU6ePFlsPRFSUODbD4j8mAQAqGOgAwfrwp1vhNRk+Z/BJXUeqFm3oc4DQpQoLTe3yM4DAMgWiYocmVAW+W21YcOGYdKkSbCyssKPP/6IsLAwDB48GE2aNMG2bdsASEavenl5wdHREY6Ojvjtt98gFEpW1sufIrx69Wr0798fjRo1wvHjx7Fv3z507twZ1tbWCAsLYx9XVtvx7NmzaN68OVxcXDB37lzY29ujY8eO+PRJsrzsmDFjEBcXhxkzZsDV1RVPnz6Fvb09OBwOACAyMhK2trbsaNaYmBj2uI+PDzp37oyWLVvi1atXmDdvHtq1a4fevXsjJydHIfX5NRqBoADaWuroZtcC524HAADO3grAlEEuSo6KKMLHU0cR9b+tEPGzii0nFgoBpsDdd5EIjEiEp55DwFUtfqgxT6sWzCZMxXceQ2WWWbRoESIiIuDv74/nz59DR0cHEydOxPTp03Ho0KFC5fl8PsaPH49evXoBANzc3HDt2jV06dIFBw8exN27dwFIpgD4+/uDw+EgKysLFy9exLFjxzBv3jx4eHgUum5+XoIGDRoU+5yKY2Zmxl7na8+ePSs0MqFFixbo3Lkz2rdvj8ePH8PNzQ137tyBra2tVLnMzEw8fvwYBw4cKPLar1+/xtGjR/Hq1StwOBzMnDkToaGhGDp0KIKDg6WmMOTl5aFv377w8vLC2LFjERAQgM6dOyMyMhITJ07Ex48fsWHDBgQHB6N+/fpYuXIlRo4ciXv37sHHxweGhoY4duwYRCIR7O3tpeJo0qQJnj17VrbKIzVSwQS9PzjZgMejvn9CCiopYSIgyXugM2xsBUVESM2zPyQEfz1/jkyh7GXtxQxT7DV6nj0L7ucvzUXRVlXFb61bY1Tz4jsC89tqu3btQlBQEDQ1NWFiYgItLS0cO3YMz58/h4uLCyZOnIjVq1fj+fPnuH37NgCgd+/eWL16NRYuXMhOEf748SPOnDmD06dPY+LEidixYweuX7+O6dOnY926ddi+fXuxbcd+/fohOTkZU6dOhY+PD7y9vdG7d2/s2rULv//+O/bs2YMbN25gw4YN7BSGI0eOwNzcHABgbm6ODRs2wNPTEwBgamrKHtfV1cX169cxY8YM9OvXDzdu3MCqVavQunVrnD59GsOGDSu2rsqCWiEKUjAj9plbL5QWB1Gsdwf3QJiaDLEgt9gfqc6DghhxiecKU5Px7pCPXPH06dMHOjo6AIBRo0bhxIkTEBXRk2tiYoJr166xyQuDg4Px9OnTYq/ds2dPAICNjQ17N10WpsAHwIcPH+Dq6gpbW1u53qSKm+YQHx/PPr98c+fORfv27QGAHXmxY8eOQuf6+vrC3d0dPB6vyGvr6OggLi4Ovr6+EAqF8Pb2ZnMnfO3hw4cIDw9nRzPY2NigQYMGOH/+PFvGxcUF9evXByD5W9y/fx8xMTGoXbs2bt++jYcPH4LH4+HmzZuF4oiPl72sGCEFiURinLsTwG67u9D0BUIKKilhIvBlxQXVhjR6h5Dysj0oCEk5OcgViWT+CEtIJC0Ui4s9PyknB9uDguSOqUOHDtDT04OamhqaNm0Ka2trcDgc2NjYIDMzE58+fcK+ffvw008/gcfjgcfj4aeffsKePXukrtOtWzcAgJWVFRISEtC1a1cAkvZhREQEAPnajhYWFmyngDztbXkUjE1fXx+mpqbgcDiwsrJiY1M06kBQEOfWTWGgI5mzExodj+CoWCVHRBTBZOQYqOrXBldNvdgfcGT8K3G4JZ6rql8bJiM85YrHwMCA/d3Q0BBCobDIaQyrV6/GrVu3cO3aNfj7+6Nnz54lrrqgq6sLQDLMXiij9zh/dMCHDx/YfQ0aNIC/vz/69u2LuLi4Yh+DYRhER0ejSZMmMo9ziul5BiS9rtHR0YX2Hzx4ED/++KPM80xMTHDhwgXs378fJiYm+P333yGQccfq/fv34HA46NatG7u6Q25uLtLS0tgyX/8tACA2NhbDhg3DvHnz8Ouvv6Jp06bYu3ev1LU5HA6txEDkdj8wAgkpGQCARt8ZwbpJ2Uf/EFLdZIaFIPC3qcWU4NCKC4RUkJ+trGCooQF1Hk/mjyq3+K+eqlxusecbamjgZysruWMqeFNKRUWF3VZRkQzCFwgEeP/+PerUqcOWq1OnDt6/f1/kdfLPK7id35aUp+2Y39YGJO1tWe3Q0igYy9fPVxHXLwpNYVAQVRUe+jhZ48B/DwFIhpy2MKuv5KjIt/rOYyi+8xiKvLw89k2jKPnzLxmRCBCJAB4PHB5P4WtMJycns78nJiZCVVUVRkZGhco9evQIzs7O0NTUBACZHQKlVadOHXTq1Al+fn5wc3Mr9fmnT59GZmYm3N3dizxubGyMjIwMqX1r1qzBnDlz2O34+PhCCQjj4+MRHx9faFpDQXw+H5aWljh9+jTi4uIwYMAAeHt7Y+nSpYXKmpiYQFVVVWr1h6ysLHALfPB9/bcAgPr16yMxMRFDhw7Fjz/+iOfPn6Nr165o3rw5W18ZGRmoW7euzDgJKcj3xnP2934urUrsYCOkpmA/d4tpIBvYOaDRlFnUeUBIBRjVvHmJUwtCU1LQ5fRpmcf9+vWDRYEbNBXBxMQECQkJ7HZCQgK+//77Ml2npLZjaaipqQEAcnNzoa6ujtTU1DJdpzzQCAQFKjiN4dytl3SXsQbRbtocbf53CHVcu0HT1Ax1XLspvPMAAC5fvsx+wd63bx8GDRpU5JD9Jk2a4PHjxxCLxcjKysKdO3cUFsOmTZuwd+9eqaH5KSkpePHiRbFvkq9evcKsWbOwbNmyIldgACTDub4eXbB+/Xo2yUxkZCTOnDlTKFHikSNHCq3I8LVHjx5h8eLFAIB69erBwsKCnf6ho6MDPp8PhmHg4eEBOzs7mJqawtfXF4AkJ4K7uzvevHnDXu/evXuIjZWMNNq3bx8cHBxgamqKLVu24MKFCwAAa2tr1K5dW2qaSVRUFGxsbIqNlRAA4OcI4PfgFbs9wLW1EqMhpPLIDAtBoNfU4jsPOjjC5u+d1HlASCWip64OTRlTTTV5POipq1dwRICnpycOHDgAkUgEsViMAwcOYMyYMaW+jjxtx+Lkt0Vv3LiBjRs3wtjYGFpaWgj6PGXjv//+K3VM5YapRD5+/Mj06NGDqSxh8fl8BgDD5/PlKi8Wi5mO49cwDfv9zjTs9ztzPzC8nCMsLCQ8usIfs7rIzs5mXr58yWRnZxc6JhQKlRCRtNGjRzNTpkxhBg4cyLRr147p1asXk5CQwDAMw3h4eDDq6upMq1atmCdPnjCxsbGMq6sr06pVK2bEiBGMq6sr07BhQ+bgwYPMiBEjpMp269aNAcDY2dkxqampjJ2dHQOA6datm8xYAgICmH79+jEdO3ZkOnTowNjY2DDz5s1j4uLiGIZhmDVr1jANGzZkdHV1GRcXF8bBwYFxdnZmjh8/LnWdr+s1KiqKMTY2ZgQCAbtv7dq1jKOjI+Ps7My0bduW2bdvX6F47OzsmHfv3hVbf7GxsczgwYMZZ2dnxtHRkfHw8GBSUlIYhmGYsLAwxtLSkrG3t2fWrFnDMAzDvH37lunRowfj7OzMODk5Mbt27WKvtXjxYmbIkCHM6NGjGXt7e8bJyYkJD5f8v9+/f5/p3Lkz4+bmxrRt25aZN28ee55AIGCMjY2ZyMjIYmP9VkW9Xot7fRP5VPT7q++NZ+znycC52yv0sUnZlbbtUBL6XJeW8SaYuenSmvF3aCnz56ZLaybjTXChc6kuFYPqUXGqal1+S5siNiuLCUlOLvQTm5X1TTEVbPscPHiQadiwIVO3bl1m27ZtzNKlSxk9PT3GwsKCuXfvHuPh4cG2fePi4pg5c+YwDg4OjIODAzN79my2HTpq1Ci2zRwSEsK2kfv168c8fPiQsbCwYPT09BgvLy+GYWS3Ha9du8aWXbRoEXPmzBk2vnXr1jEMwzCbN29mWrRowdjZ2TFBQUHsvsaNGzP9+vVjvL29GXV1dWbQoEFMUlKSzFgWLVrE7Nixg6lbty7b9v/at7YJOQxTQjrMCuLr64tZs2ZBVVUVb9++RVFhxcbGYvv27Th16hTEYjHy8vJgaWmJpUuXwtraulD5DRs2YOfOnVBRUYGKigoWLVokc+h0UbKzs6GlpQU+n88OBS/J2v2XsfWEPwBgaNd28J42QO7HU4TQiBhYNDKt0MesLnJycvDmzRs0a9as0DKCJU1hqAienp4wMzOTWpKxqiuqXufMmQMzMzNMmTJFSVGVbMmSJVKrNshr27ZtiIqKwpo1a8onsM+KqtfiXt9EPhX9/jpq8W7cfvEWALByijtG9OhQYY9Nyq4sbYfi0Oe6tJczJhSbNFHduJ7MnAdUl4pB9ag4VbUuK2ObojK01auKb/37VZopDN7e3rhy5Qo6duwos8zSpUtx+PBhXLhwAUFBQXjx4gV4PB7s7OwQGBgoVXb16tVYvnw5zp07h4CAAHh7e2Pw4MHlPvzDw82W/f3C3UDk5Cpm7jkhNcWKFSsQHR1dbpljlSU6OhrR0dFYsWKFskMhVUBcUhruBkiWO1VT4aFPx8Kd5ITUNCWtuEAJEwkhpPxVmg6Eu3fvomnTpiWWmzNnDkxMTABIsleuXr0a2dnZ2LlzJ1smNTUVf/75J6ZMmYLGjRsDkCxx0b17d/z222/l8wQ+a/K9MVo1lSTeyMzOxeWHr8v18UjNsGzZMvj5+cHHxwe7du1SdjjlSlVVFd7e3jLzJCjbzp074ePjAz8/v1J1BjRs2BDe3t5QVVUtx+hIdXHm5kuIxZKReF07tICe9rffySakKssMC0HArMkyj+cv1UidB4QQUr4qTQeCPENOtmzZgrFjx0rty8/GnpKSwu7z8/MDn88vlCW+c+fOeP36NUJCQhQQsWwD3b4kuvL1f15MSULks2jRIsTFxSEqKgrjxo1Tdjg12sSJExEVFYW4uDgsWLBA2eGQaohhGKnPDg9KnkhquMywEDwbPwLCpASZZWjkASGEVIwqNVGkqE6G/MyWrq6u7L6AgAAAgLm5uVTZ/O2AgAA0L2KZEaFQiLy8PHY7Ozu7THH27WSDP3dfhDBPhFvPw/ApJQPGBjoln0gIIaTGex0Zi9DoeABAbV0tuLQpeXQeUZycnBzMnz8fYrEYQqEQL1++VOhKNqR0MsNCEPjbVDDC4ldcoM4DQgipGFWqA6EoO3fuRMuWLaWWdctfk11HR/pLu66uLgAgKSmpyGutWLGiyDXh30S+K3WCiWPLfoLw89JtcfEJUiMkypNYLEZoREyFPFZ1IxblQfQ5OWfBjiQAYIBC+8i3o3otH0XVa16e5PUd+e4juLwq/9avFBX1/pqXK8SxP38CAKipqiDy3ccyXacqJub6FrGxsRgzZgwuXbpUZCJmec2bNw9dunTBDz/8AEAyxZIox6drfghePAcoZllsjpoaGk2dVYFREUJIzValW5HXrl3D0aNHcevWLagrYN3QBQsWYO7cuex2dnY2DA0N0czcpNSZlP3uv8LPqw8CAFqY18d/G6Z9c3zyqKrZXCsDSUbSTHbVjoIos2v5oHotH0XVq4qKCnhcLsxNvqs0GZOrmop4f80TiWA/1huJqZkAgNNrJ8OikUm5PmZ1UHAlp+J8+vQJM2fOxJMnTwAA1tbW2LBhA77/XpK7KDs7G7t27UL79u0xf/58JCcnY+rUqeUePyksMywEwYu8gGI6g4pbcYEQQkj5qDQ5EErr5cuXGD16NM6ePQtLS0upY0ZGRgCAjIwMqf3p6ekAAENDwyKvqaqqCk1NTamfsnJrZwF9Hcn5wZGxeB0ZW+ZrEUIIqRnuvAxnOw8aNTBik/KS4smzkpNAIEC3bt0gEAjw6tUrvH79GrVq1YKbmxsyMyV1HhUVhczMTISHh2PlypWYPn06OnfuLHPkIikfmWEhCPSaWmznAa24QAghylElOxACAgLg7u6OI0eOwNHRsdBxGxsbAJKGQEGRkZFSx8uTuqoKfnD68jinKJkiIYSQEvjeeMb+PsC1NTgcjhKjqTrkWclp79697LLOKioq4PF48Pb2RkREBP755x8AX248eHh4AAAsLS3RoEEDXLlypXyfAGFlhoXg2YQREHyKl1mGVlwghBDlqXIdCAEBAejfvz/2798PJycnAJJ5j5MmTWLL9OzZE1paWvD395c698aNG7C0tCwygWJ5GODWhv399M2XyPucE4EQUn4ePHjALnV5584d9O3bF126dEHbtm2xYMECiAvMpd28eTO6dOmCzp07w9raGps3b5a61q5du2BrawtnZ2d07NgRDx8+rNDnIq+oqCisXr1a6rmRqieDn4PLD4LZbXdXW+UFU8XIMxXq5MmTMDU1lVoitl69erC0tMTJkycBgJ3KwOV+aR6pqakhNzdXwRGTouSPPGAEshMmgsulkQeEEIVZtmwZ6tWrhyVLlsh9TlRUFNzc3NCpUye4urqyN6mLkpOTA09PT9jb26Ndu3a4fPmy1PGrV6+iffv2sLe3x+jRo5GTkyP3uQKBALNnz67wpc+rVAdCYGAgunTpgh49eiAqKgoHDhzAgQMHcPToUYSGhrLl9PX1sXDhQmzduhUREREAJH+cS5cu4a+//qqweG2bfY9G30mmUySkZODOy/AKe2xSseL4fISmpBT6iePzlR2aUpmZmRXqyCtPoaGhmD17NkaMGAEA+OOPPzBx4kRcu3YNN2/exMmTJ6U6Cf79918cPnwY169fh6+vL2bOnIlHjx4BAIKCgjBp0iQcOXIEt27dwrhx4+Dh4VHq5GxLliyBp6enwp5jUczMzAAAK1euLNfHIeXrv3uvkCMQAgDsrMzxvbGBkiOqXgICAgqtzgRIVmgKDAwEIFka2snJCbdv3wYgWSI6PDwcLi4uFRprTSTPyANwOGixdA11HhBCiuXq6gofHx+5yi5atAg9e/Ys1fWHDx+On376Cbdv38bo0aMxdOhQmWWXLFkChmHw4MEDHDp0CMOGDUN8vOR9LiEhAcOGDcPBgwfx4MEDAMDChQvlOhcAfvjhB3A4nAq/gVRpspd5eXnhypUriImRZLi2tbUFADx69AhqamoAgMWLFyMxMRE7duzAjh07pM7/+sN93rx50NDQQN++fdmhisePH0evXr3K/8l8xuFwMMCtNf46KBn66HvjGVzbNKuwxycVI47PR6cTJ5BdxAgTTR4PtwcNQj0tLSVEVvPMmjUL06dPZ/OXuLu7s5nUtbW10bdvX1y+fBm//vorAGD//v0wNjYGADRt2hQGBgaIiopChw4dEBwcDH19fXbEkoODA2JjYxEXF4f69esr4dkVb8aMGTA1NcXYsWPZ50SqloJT3Qa6tVZiJNVTYmIi2rZtW2i/rq4u+Hw+srOzoampiQMHDmD69OkICQnB+/fvsXv3braTriiKWgK6pgvfuq7YkQeUMJEQUhm8fPkSL168wMiRIwEAI0eOxJQpU/D06dNCnzFisRj//vsvfH19AQDNmjVD69atceDAAcyePRuHDh2CjY0NmjWTfD8cP348+vXrh9WrV4PD4RR7LiAZKfv27VucOHGiop4+gErUgbB27doSy+RXoLxmzJiBGTNmlDEixXB3tWU7EC49eI0Mfg50tCgDenWSlptbZOcBAGSLREjLzf3mDoSdO3di5cqVsLe3h56eHu7evQtbW1ssXrwY8+fPx/PnzzFr1ixMmTIFgKRBO3/+fHb5MUdHR6xatQqqqqoYMGAALl68iCVLluD+/fsIDAyEt7c3srOz4ePjg4SEBPj6+rLzicPDwzF58mTk5uZCLBbD29sbjo6OOHv2LObMmYO6devC3t4eN2/eBI/Hw6lTp2BsbIwxY8YgLi4OM2bMgL6+PtatW4epU6fi4cOHYBgGkZGRcHd3R1paGqKiohATE4MhQ4bg4cOH2LNnD/bt24f4+HgcO3YM+/fvx9WrV2FsbAxfX98iVxFITU3FlStX8O+//7L7vv7/z8nJQZ06ddjtgvlQTp48CW1tbXTv3h0A0LFjR4hEIty7dw+Ojo44d+4czMzMZH45X7p0Kfz8/KChoQFjY2Ns2LABt27dgo+PD3JycuDq6opu3bphwYIFMus0/+/cpk0baGhoIDIyEioqKti3bx/Mzc3B5/Ph6emJ+Ph4iEQitG/fHn///TcAQENDA23atMHJkycxefLk0r7EiJJ9SEjFgyDJEEh1NRX0crRSckQ1V8OGDXHmzBm5yytyCeii1ITlmYXREUh9dF92AVVVaP/6Bz7wtIBvqIuaUJcVgepRcapqXRa39Lmy5C9hvWDBArx48QKrV6/Gnj17MHv2bPTu3RuXLl3C8uXLoaKiAk1NTWzcuJFt64rFYog/P5+SPHjwAObm5uByucjLywOXy0Xjxo3x8OFDtGrVSqrs27dvkZSUhCZNmrDXbt68OR4/foy8vDw8fPgQzZo1Y481a9YMqampCAkJAY/HK/ZcQDINL38Ufmn+DsUt7S3PalOVpgOhuvre2AD2VuZ4EBSJXEEe/rsXhCFd2yk7LCKn/SEh+Ov5c2QKhTLLiEsY0t7z7Flwi0mEpq2qit9at8aoYnJzTJw4ER8/fsSuXbsQFBQETU1NmJiYQEtLC8eOHcPz58/h4uKCiRMnQkVFBatXr8bz58/ZYbi9e/fG6tWrsXDhQvj6+sLMzAwfP37EmTNncPr0aUycOBE7duzA9evXMX36dKxbtw7bt29HXl4e+vbtCy8vL4wdOxYBAQHo3LkzIiMj0a9fP3aJMx8fH3h7e6N3797YtWsXfv/9d+zZswc3btzAhg0b4OrqCgA4cuQIO4TY3Nwc69evx7hx4wAApqam7HFdXV1cv34dM2bMQL9+/XDjxg2sWrUKrVu3xunTpzFs2LBCdRQYGAgejydzdIBIJMKlS5dw4MCBQucNHToUWVlZOHbsGPT19QFIhjKfPHkSAwcOhK6uLrhcLi5dugQej1fo2q9fv8bRo0fx6tUrcDgczJw5E6GhoRg6dCiCg4MRFRXFDqUrrk7z/84bNmxAcHAw6tevj5UrV2LkyJG4d+8efHx8YGhoiGPHjkEkEsHe3l4qjiZNmuDZs2eF4iOV3+mbL9jpMd3tLKmjuRwYGRkVWp0JkKzQpKWlVeaVlxS5BHRRqvvyzJlhIQjc8KfM44oceVDd67KiUD0qTlWtS1lLn/f+3/Qiy0/pOBh9LTsBAH456Y2I5A+FyvRs7oDpnYYDANb7H8DVsEeFylycsElmTPlLWHt7e+Phw4fw9PRkp5BGRERg6NChePbsGZo1a4YDBw7Aw8MDQUFBUFFRAZfLBZfLlSufTmJiIvT09KTKGhgYICkpqdD5+Sv4GBoassdq166NkJAQqKioICEhAQ0bNmSP5a8kmJyczObikXVuvvx2aWmWRf/Wpb2rVA6EqqpgMsWTN2g1hqpke1AQknJykCsSyfwRljDvSCgWF3t+Uk4OtgcFyRVPhw4doKenBzU1NTRt2hTW1tbgcDiwsbFBZmYmPn36BADYt28ffvrpJ/B4PPB4PPz000/Ys2eP1LW6desGALCyskJCQgK6du0KQHJXPj93yMOHDxEeHo5Ro0axxxo0aIDz58+z17GwsGA7BWxsbIpNJCOvgrHp6+vD1NQUHA4HVlZWbGxfi4+Ph46Ojsxr/vXXX3B3d4ednZ3Ufmtra7x+/RqnT59G//792RwIISEhGDZsGC5duoTQ0FDMmjULkyZNgqiI0SY6OjqIi4uDr68vhEIhvL292SSvX5OnTl1cXNiOkFGjRuH+/fuIiYlB7dq1cfv2bTx8+BA8Hg83b94sFEfBuXGkamAYBr4FPhsGuNL0hfJgY2NTaHUmQLJCk7W1dZmvq8gloGsaNu9Bguz3LZq2QAj5VocPH0aHDh3YqQLDhw9HdHQ07t27V6brFbVCUnE5sr4uX7BsSdcq7lxloREIFaCXY0ss2nEWOQIhHgZF4l18CkzqUnKsquBnKyu5RiAU14mgyuWWOALhZyv5hisX/IKsoqLCbuf3Ogo+zx99//691FD9OnXq4P3790VeK//cgtsFr8PhcNgv9ACQm5uLtLQ0dltXV5f9XUNDgz33WxSM5evnLOv6DMPIXPLu4sWLePLkCY4cOSLzMVu3bo0+ffpg06ZNOHDgAPbs2YN27dqx0xzGjx+P2bNn4+rVq+jRo4fUuSYmJrhw4QK8vb0xdepUjBw5En/++WeRvcHy1KmBwZf3B0NDQwCS1WaGDRuGvLw8/Prrr0hKSsKsWbOkpisoI5EO+XbP37xD+PsEAICRvjY6tW6i5IiqpwEDBmDSpEmIiopicxrEx8cjODgYq1atUm5wNZA8Ky4YdHCkzgNCqpDiRgjk2zJwbollZrn+iFmuPyoiJACF28U8Hg8GBgaF2sZFmTFjBl68eAEA2LBhA4yNjZGamipVJjU1tcgprvn7Ch4v+PvX18r/3djYmB1ZIOtcZaIOhAqgo6WBHvaWOHPrJQDg9M3nmDaks5KjIvIY1bw5RjVvzg6LKkpoSgq6nD4t8xp+/frBwqBiO4xMTEyQkJDAbickJLDLk5X2OqqqqlIrKWRlZUktcVYa+QlRc3Nzoa6uXugN+FsYGxsXOTz5wYMH2LhxI86cOQMej4ewsDA0bdoUSUlJ8Pf3x8CBA9mytWrVQnJyMgBJZ4yqqip7jMPhQEVFBenp6YUeg8/nw9LSEqdPn0ZcXBwGDBgAb2/vIudFy1On+TEAkqFyAFC/fn0kJiZi6NCh+PHHH/H8+XN07doVzZs3h5ubGwDJGvZ169aVt8pIJXHi2pdpJwNcW0OliGky5Nt5enpiy5YtmDt3Lg4ePAgul4t58+bB3Nyc8oZUsPyRB8V1HnDU1NBo6qwKjIoQUl2ZmJhIrdgnEomQkpIiV9t4w4YNhfZFRkZCIBBATU0NAoEA4eHhaN++faFyjRs3Ru3atREaGsp+8X/9+jV69+4NAGjfvj3OnTvHln/9+jX09fXRpEkTcLncYs9VJprCUEEGFMioffL680ox/IQohp66OjRlNPg1eTzoqatXcESShvKBAwcgEokgFotx4MABjBkzptTXsbOzg6mpKZvANC8vD+7u7njz5o1c5+vo6IDP5+PGjRvYuHEjjI2NoaWlhaDPUzb8/PxKHZMsLVu2hEAgkOo4CQ4Oxq+//op///0XeXl5yMzMxLJlywBIvmz/+eef4H9eajMhIQGnT59Gly5dAABdu3bFzZs3ERsbC0AyiiEnJ6dQ3gFAslrM4sWLAUgS2lhYWLBTHfLrgGEYeHh4yFWn9+7dYx933759cHBwgKmpKbZs2YILFy4AkEy9qF27ttSUiqioKKnEkKTyy8kV4tydAHZ7UJc2xZQmsnh5ecHW1hZnz54FIFnJydbWVmrEkpqaGq5cuQIejwdLS0u0aNEC6enpuH79OrS1tZUVeo0kz4oLbf53iEYfEELKJL/tFRYWBi8vLwwfPhxPnjzB27dvAQBHjx5Fw4YN4ejoWOpr29raolWrVjh8+DAAyfSIli1bsiswHDx4ELNmSTo/uVwuJkyYgN27dwMAwsLCpFZwGDFiBF6+fImwsDAAwO7duzF+/Hg2L0Nx5yoVQ2Ti8/kMAIbP53/ztfLyREwHz1VMw36/Mw37/c48ehX57QEWISQ8ulyuWxNkZ2czL1++ZLKzswsdEwqFxZ4bm5XFhCQnF/qJzcpSSGwHDx5kGjZsyNStW5fZtm0bs3TpUkZPT4+xsLBg7t27x3h4eDAAGDs7OyYpKYkRCATMnDlzGAcHB8bBwYGZPXs2IxAIGIZhmFGjRjHq6upMq1atmJCQEMbOzo4BwPTr1495+PAhY2Fhwejp6TFeXl4MwzDM27dvmR49ejDOzs6Mk5MTs2vXLoZhGObatWts2UWLFjFnzpxhY1y3bh3DMAyzefNmpkWLFoydnR0TFBTE7mvcuDHTr18/ZtWqVYy6ujozaNAgJikpSWYsixYtYnbs2MHUrVuXadiwIXPw4MEi66lz587MqVOn2G1HR0cGksS87E/Dhg0ZhpH8vf/44w/G3t6ecXZ2ZmxsbJjFixczIpGIPX/9+vWMra0t4+TkxLRr1445f/58kY8bGxvLDB48mHF2dmYcHR0ZDw8PJiUlhWEYhgkLC2MsLS0Ze3t7Zs2aNcXWKcMwzOLFi5khQ4Ywo0ePZuzt7RknJycmPDycYRiGuX//PtO5c2fGzc2Nadu2LTNv3jz2PIFAwBgbGzORkZFFvl6Le30T+ZTH++tp/+fs50K/2VsVfn1S8RTZdmCY6vW5nvEmmHk5fTzj79BS5s9Nl9ZMxpvgcnn86lSXykT1qDhVtS4rY5uiYNvH19eXadasGdO+fXvm+vXrDMMwzKVLlxhHR0emU6dOTPfu3Zk3b94wDMMwS5cuZduX//77r1yPFRkZybi5uTFOTk6Mi4sLExERwR5bu3Yt069fP3Y7OzubGT16NGNnZ8e0bduWuXTpktS1rly5wrRr146xs7NjRo0aJVWnJZ37yy+/MK1atWLU1dUZFxcX5syZM3LF/61/Pw7D0K1wWbKzs6GlpQU+n6+QpEje+y7hn5OSpGdDurbFmmkDSzij9KpqNtfKQJJR9g2aNWtWKCNpcVMYSNkpul7zl7O8cuVKlf17LVmyRGrVBnlt27YNUVFRWLNmTZH1Wtzrm8inPN5fRy3ejdsvJHdE/vy5H0b1KjzChVQtim47VJfPdXmmLShyxYWiVJe6VDaqR8WpqnVZGdsU1FaX37f+/WgKQwUa3KUt+/v5O4HIys5VYjSEVD+tW7fGnDlzsGvXLmWHUqGio6MRHR2NFStWKDsUUgofElJx52U4AEBNVQX9OrUq4QxCqq6Spi0AtOICIYRUBdSBUIEaNTBC2+aSXkZ+jgAX78m3dB8hRH69evXCpEmTlB1GmezcuRM+Pj7w8/MrVWdAw4YN4e3tLZX0kVR+p258yYfT3a4F9LRp+T9SPWWGhSD10f1iy9CKC4QQUjVQB0IFKzgK4fi1p0qMhBBS2UycOBFRUVGIi4vDggULlB0OKUcMw+DE9S+rLxT8bCCkOskMC0Hgb1OLKcGhFRcIIaQKoQ6ECtbHyRqa6pK7hI9eRSE6NknJERFCCKloj19HIerz+389Q104tWqi5IgIUbz8vAeChHiZZQzsHGjFBUIIqUKoA6GC6WhpoJejFbtd8A4UqRworyipjuh1XbkUfO8f4NYaPB59HJPqJTMsBIFeU4vNe2DQwRE2f++kzgNCqihqW1RN3/p3o1SVSjC4S1v43ngOADh5/RlmDOtCjcdKQE1NDVwuF/Hx8ahbty44HA57jDK7lg+q1/Lxdb0yDIP4+HhwuVyoqakpMTICSHLgXLgTyG4P6kzTF0j1Is+KCzRtgZCqq7g2s7JQm1I+imgTUi0rgV1LM5jUNcC7+BR8TEzD3YBwOLduquywajwulwszMzNERUUhPT1d6phILAaPS508ikb1Wj6Kqtf81zeX6lvp/rsXhKwcyRerts1N0aiBkZIjIkSxSlpxobyXaySElK/i2szKQm1K+X1rm5A6EJSAy+ViUOc2+PvwNQCSZIrUgVA5aGtrw9LSEoKvGj6R7z7C3OQ7JUVVfVG9lo+i6jX/bgFRvoIJdCl5IqluSlpxgaOmRp0HhFQDstrMykJtSvl9a5uQOhCUZGDnNthw5DoYhsGlB6+RlplNS3hVElwuFxoaGtL7eCqF9pFvR/VaPqheK6+YuGQ8CIoEAGioqaKPk7WSIyJEcTLDQhAw82eZx2nkASHVS1FtZmWhtk/FodtRSvK9sQE62jQGAAiEeTh7+6WSIyKEEFLeTt74kjyxl2NL6GhRY4dUD5lhIXg2fjiEyYkyy1DnASGEVH3UgaBEg7u0YX8/cY1WYyCEkOpMLBZLrb5A0xdIdZEZFoLA36aAEQplljHo4EidB4QQUg1QB4IS9bBvCZ1akrtPL8Pe402M7HWSCSGEVG0PgiLx4VMqAKCBsT7srcyVGxAhCvDpmh+eeg6BIOGTzDK04gIhhFQf1IGgRBrqqvjByYbdLphYixBCSPVy9MoT9veBbm0oqSWp8jLDQhC8yAtgxDLLqBvXQ5v/HaLRB4QQUk1Q60XJCg5hPXXjOYR5IiVGQwghpDykZvDx3/1XAAAOh0PTF0iVlxkWgkCvqQDDyCxDKy4QQkj1Qx0ISmbb7Hs0+b4OACAxLQvXn4QqOSJCCCGKdvrmCwiEeQAAp1ZNYFLXQMkREVJ2mWEheDZhBASfZE+9pJEHhBBSPVEHgpJxOBwM7daO3T565bESoyGEEKJoDMPgyOUv0xeGdW9XTGlCKrf8kQdMcWu/c7k08oAQQqop6kCoBDxcW0NVhQcA8H/2BrGJaUqOiBBCiKIEvP2AkOg4AEBtXS107dBCyRERUjbyjDwAh4MWS9dQ5wEhhFRT1IFQCRjpa6Pb5walWMxQMkVCCKlGjhQYWTbArQ3UVVWUGA0hZRe+dV2xIw/Ujeuhrc9xGHfpWYFREUIIqUjUgVBJDOvenv396NUnEItlZzQmhBBSNWRl5+LszZfs9tCulDyRVE2ZYSFIfXRf5nFKmEgIITUDdSBUEk6tGqOBsT4A4MOnVNx5Ga7cgAghhHyzC3eDkJUjuWPbtrkpmprWVXJEhJReZlgIAn+bIvM4JUwkhJCagzoQKgkul4uhXb8k1jpymZIpEkJIVVcwMe7Qbu2LKUlI5ZQZFoJn40dAkPBJZhkaeUAIITUHdSBUIoO7tAWXywEAXHkUjMTUTCVHRAghpKzCYuLxNCQGAKCtqY4+Ha2UHBEhpcOuuCCUnffAoIMjdR4QQkgNQh0IlUh9Iz24tmkGABDmieB747mSIyKEEFJWR69+SYj7g7MNammqKzEaQkpHnhUXOGpqaDR1VgVGRQghRNmoA6GSKZhM8ciVx2AYRonREEIIKYtcYR58bzxjt4fR9AVSxciz4gLlPSCEkJqnUnUgxMbGomfPnuBwOMoORWnc2lqgjoEOACDiQyIev45SbkCEEEJK7eqjYCSn8wEAzc3qwaZJAyVHRIh8MsNCEPDrBFpxgRBCSJEqTQeCr68vHBwcEB5e/OoDQqEQCxcuRPPmzWFlZQVHR0fcuXOnyLIbNmyApaUlbGxs0KZNG5w+fbocIlcsVRUeBndpw24fufxEidEQQggpi4Lv3cO6tavRHeOk6siftpDyWHbnAY08IISQmq3SdCB4e3vjypUr6NixY7Hlpk2bhqNHj+L27dsICgrC2LFj0b17d7x48UKq3OrVq7F8+XKcO3cOAQEB8Pb2xuDBg/Hff/+V47NQjIKrMVy4F4i0zGwlRkMIIaQ03sWn4M7LtwAANVUVuLvYKjcgQuTAJkwsZtoCQCsuEEJITVdpOhDu3r2Lpk2bFlsmNDQUO3fuxLx581CnTh0AwPjx42Fubo4FCxaw5VJTU/Hnn39iypQpaNy4MQCgW7du6N69O3777bfyexIK0rC+IRxtGgEAcgV5OHPzhXIDIoQQIrfj156y+Wt6ObSEvo6WkiMipHjyJEwEaMUFQgghlagDQUVFpcQyp06dAsMwcHNzk9rfuXNnXL58GZmZkmUP/fz8wOfziyz3+vVrhISEKC7wclJwvfDDV55QMkVCCKkC8kQiHC+w+sLQbu2KKU1I5SBJmCgspgSHVlwghBACoBJ1IMgjICAAXC4XpqamUvvNzc2Rl5eH169fs+Xy939druDxyqyHvSX0dTQBAMGRsQh8+0HJERFCCCnJjSdvEJuUBgAwq28IeyvzEs4gRLkyw0I+J0yUfaPCwM6B8h4QQggBUMU6EBITE6GlpQUejye1X1dXFwCQlJTElgMAHR2dYst9TSgUIjs7W+pHWTTUVOHh2prdPnzlsdJiIYQQIp+Dlx6yvw/v3h5cbpX6mCU1TH7eA1nUjeuh7d4TsPl7J3UeEEIIAQCUPG+gBlmxYgWWLl1aaP+byHfQ0NCo8HiGuFqhV4cmn7c4CA2PBkrI5C0WixEaEVP+wdUwVK/lg+q1fFC9lo+S6lUsZjDF3R5T3O0BcKBbS0OpfweLRqYlFyI1Vn7eg+KSJlLCREIIIV+rUh0IRkZG4PP5EIlEUqMQ0tPTAQCGhoZsOQDIyMhg9xVV7msLFizA3Llz2e3s7GwYGhqimbkJNDU1Fftk5DRo3g48CY4GACz/uT9+7GVXbPnQiBhqNJYDqtfyQfVaPqhey0dJ9bp2/2VsPeEPAOjnbINNs4dVUGSElI48Ky5QwkRCCCFFqVJjK21sbCAWi/Hu3Tup/ZGRkVBRUYGlpSVbDgCioqIKlSt4/GuqqqrQ1NSU+lG2kT07sL8fvPSIkikSQkglEsfnIzQlBa8Sk3Dg3gswOmpgdNTQq7OtskMjZZScnIyxY8di2rRpmD59Ovr27Ys3b94oOyyFkWfFBUqYSAghRJYq1YHg4eEBDocDf39/qf03btxA9+7doa2tDQDo2bMntLS0iixnaWmJ5s2rTo96L0crGHxeAiw4MhbP37wr4QxCCCEVIY7PR6cTJ9Dl9Gn0OHcWSR3qQNSlIURdGmJ64CPE8fnKDrHGiY2NRc+ePcEpYbpfcWJiYqChoYHNmzdj06ZN6NGjB8aOHavAKJVLsuKC7JEH6sb1KGEiIYQQmapUB4KFhQUmTpyIVatWsYkS9+zZg/DwcKxYsYItp6+vj4ULF2Lr1q2IiIgAAFy9ehWXLl3CX3/9pZTYy0pDTRWDu7Rltw/6PVJiNIQQQvKl5eYiWyQq8li2SIS03NwKjqhm8/X1hYODA8LDw4st9+nTJ4wcORIWFhawsLDAoEGD8P79e/a4ra0ttm7dym43atQIHz5Uj5WQvqy4UDSOmhrlPSCEEFKsStOB4OXlBVtbW5w9exaA5APc1tYWgq96yTdv3ozBgwejY8eOsLKyws6dO3H58mXY2tpKlZs3bx4WLFiAvn37wsbGBl5eXjh+/Dh69epVUU9JYYb3aM/+fv5OAFIz6K4WIYQQUpC3tzeuXLmCjh07yiwjEAjQrVs3CAQCvHr1Cq9fv0atWrXg5uaGzMxMtlzBEQznzp3D1KmyVyqoKjLDQhA4e7LM4zTygBBCiDwqTRLFtWvXylVOVVUVy5cvx/Lly0ssO2PGDMyYMeMbI1M+8++M4NSqCe68fItcQR5O3niOcf1kN5AIIYSQmubu3btQUSm+WbN3714EBATg1KlTbFlvb280aNAA//zzD7y8vKTKX7hwAenp6Zg1q2rnA8gMC8Gz8SPACGnFBUIIId+m0oxAIMWTSqbo95CSKRJCCCEFlNR5AAAnT56EqakpGjVqxO6rV68eLC0tcfLkSamyFy5cwJkzZ7B//35wuVW3uZQZFoLA36YW23lAKy4QQgiRV9X9RKxhunZoAWMDHQBAxIdE3A+MUHJEhBBSs+XKyH9AKq+AgACYm5sX2m9ubo7AwEB2+/jx47h8+TJ27NgBHo+HX3/9VeY1hUIhsrOzpX4qi0/X/PB0zBAIEmjFBUIIIYpRaaYwkOKpqvAwrFs7bDp2A4AkmaKjTWMlR0UIITWXb4TsjlxNHg966uoVGA2RR2JiItq2bVtov66uLvh8PrKzsxEWFobhw4fDyMgIR48eBQCkpaVh48aNRV5zxYoVWLp0aaH9byLfQUND45tjFovFCI2IKfV5wugIJC3yAooZscitXQcGsxfjA08LKMNjVDVlrUsijepRcaguFYfqUjEsGpmWWIY6EKqQod3bY8sJf4jFDC49eIWE1AzU0ddRdliEEFLjRKSlYe/rYHZbPTgZx2f+iFoaagAAPXV11NPSUlZ45BvY2NggLy9P7vILFizA3Llz2e3s7GwYGhqimbkJNDU1vzme0IgYuRp0BWWGhSBw45/Fdh5w1NTQ+u9/atTUhbLUJSmM6lFxqC4Vh+qy4tAUhiqkQR19dG5rAQDIE4lx7OpTJUdECCE1D8MwWPDgAYSMGADAic/C4IbmaFO/LiwMDGBhYECdB5WUkZERMjIyCu1PT0+HlpZWmb7wq6qqQlNTU+pHmTLDQvBswggIPsmetkArLhBCCCkr6kCoYkb2tGN/P3zpMUQisRKjIYSQmudsZCRuf/wo2RCJwX2ZgJE97Io/iVQKNjY2iIqKKrQ/MjIS1tbWFR9QOQjfug6MQHbCRHC5tOICIYSQMqMOhCrGuXVTfG9sAAB4/ykFt16EKTkiQgipOdIFAix99Ijd5r5JQavvjGHdpIESoyLyGjBgAKKjo6U6EeLj4xEcHIyBAwcqLzAFyQwLQeqj+7ILcDhosXQNdR4QQggpM+pAqGJ4PC6G92jPbh/876ESoyGEkJrlr2fP8Ck/y36GAJywFKmRYaRy8/T0hLW1NebOnYu8vDyIxWLMmzcP5ubmmDx5srLD+yaZYSEInD1F5nF143po63Mcxl16VmBUhBBCqhvqQKiChnRtCxWe5E93/WkoPiSkKjcgQgipAd5kpMMnJITd5gZ8gr6WBvo52ygxKpLPy8sLtra2OHv2LADA1tYWtra2EBQYzq+mpoYrV66Ax+PB0tISLVq0QHp6Oq5fvw5tbW1lhf7NMsNC8Gz8CAgSP8ksQ9MWCCGEKAKtwlAF1dHXQQ/7lrhwNxBiMYNDfo/gNaq7ssMihJBqSyQWY2NYKMSfs9pz3meAm5CNIe5O0FRXU3J0BADWrl0rV7m6devi0KFD5RxNxckMC0Hgb1PBCGXnPTDo4EidB4QQQhSCRiBUUT/1sWd/P3z5EXIEQiVGQwgh1duhN28QkpEu2RCKwQ1MAIfDwY80fYEoEbviQoLsFRc4ampoNHVWBUZFCCGkOqMOhCqqg6UZmjesBwBITufj4t0gJUdECCHVU0J2NlY//bJsLjc4EZxcEVzbNEPD+oZKjIzUdCWtuEDLNRJCCFE06kCoojgcjtQohL0Xism6TAghpMyWP36MtM9f0lQzheBEpAEAfuptX9xphJSrklZc4KipUd4DQgghCkcdCFWYu4stdGppAABehr3HizfvlBwRIYRUL/diY3EyPBwAwAEgfhILDgDTerXh0qapUmMjNVdmWAhe/jpB5nEaeUAIIaS8UAdCFaaloYYhXdqy2/suPFBiNIQQUr0IRCIsuP/lDm9P43rgpOYCAEb1sgOXSx+hpGJlhoUg4NcJeDp6EPJSU2SWo5EHhBBCygu1fqq4Ub3tweFwAADn7wSA+ZwhnBBCyLfZ+eoVwtIk0xUM1NQwor4JAEBDTRWDC3TeElIR8hMmpjwufsoirbhACCGkPFEHQhVnVt8Qrm2aAQAEeSIIhHlKjogQQqq+dxkZ2PDiBbttw1dDLRXJysf9nVtBX0dLSZGRmqqkhIkArbhACCGk/FEHQjVQMJlirjAPeSKREqMhhJCqb9HDh8j5/F7awdgYL669Zo+N6kPJE0nFiOPzEZWViecvniEo7A3eGxjivYEhUrRqFSpLeQ8IIYRUBBVlB0C+nUvrpmhYrzai45LBMAyuPgpGTwcrZYdFCCFV0qXoaFx5J0lKq8rloqNIG8+yJbkP2jY3hVWj75QZnlK8fv0ax44dw7Vr1xAbG4v4+HioqKigbt26MDExQd++fTFo0CA0aNBA2aFWG3F8PjqdOIHs/JsCgzzZY2pCIdYf2wUDfhYADjhqqpT3gBBCSIWgEQjVAJfLxajeBZd0pGSKhBBSFnyhEIsePmS3J7Zsif8uPWO3a9rSjSkpKXB3d4eVlRV27twJFRUVtGnTBh4eHujbty9atmwJPp+PZcuWwczMDDNnzkReHk2l+1ZxfD5eJiR86Tz4ikBVFVnqklWYDOwcaOQBIYSQCkMjEKqJwV3aYt3BKwCA+4ERCI2Og0XDekqOihBCqpa/X7zAh6wsAICJtjbsVXSx430CAIDD4aCXY80Z3ZWWloZOnTqhQ4cOePXqFVq0aFFs+Tt37mDFihUYMGAAzp49W0FRVj+FRh7IEFTfBJlt7GE1ZQY+aGhAj89HPS3KzUEIIaR80QiEakJPWxPurrbs9r6LNAqBEEJKIyQlBf979Yrd/tPeHkf9HrPbaqoqUFOtOf3uGzZswG+//Ybdu3eX2HkAAE5OTvjvv/9gaWkJX1/fCoiwekrLzS2x8wAA9nfsgj8bNcdQPz90OX0anU6cQByfXwEREkIIqclqTkuoBviptz0y0iVLjvneeI45o3pAT1tTyVERQkjlxzAMFty/j7zPS+H2MDVFc3VtXH4oSZ7I43KhXoM6DwBg8eLFZTpv9erVCo6EyCNbJMLLhASk6epCT12dRiMQQggpFzQCoRppYVYfPB4PAJCdK8TJG89KOIMQQggAHH/7Fg/j4wEAmioqWGZnh30XHkAslnQo9HRoCQ6Ho8wQlW7nzp3KDoGUYNz16zQagRBCSLmqWbdTaoCCd8j2nr8Pzz4O4HKpn4gQQmRJyc3F8sdfpirMsrWFPk8Vh6982Te2X0dlhFapbNq0Cb169QLzeZTG1zgcDurUqQMNDY0Kjox8LX80AurUoZEIhBBCFIo6EKoZVRUe6hvqITYpDdFxybj+JBRdO5Q8d5UQQmqq1U+eIDlXskyjhb4+xrdsiSN+j5CRlQMAaNX0e7SxMMGbyHfKDFPpXr9+DTMzs2LLcDgcmJmZYeHChRg9enTFBEaKNO76dahzudjXvTuMNDRoWgMhhBCFoA6EauinPvbw3ncJALD73F3qQCCEEBmefvqEg2/esNsrHRzAA7Dn3D1239gfHGv89AUA+Ouvv7BmzRr069cPVlZW0NPTQ2pqKoKCgnD9+nXMmjULAoEAgYGBmDp1Kvh8PiZPnqzssKscPXV1aPJ4ciVSLEmuWIyhfn4AAE0eD7cHDaJOBEIIId+EOhCqoeHd22PjkevIEQhxLyACryNjYWleX9lhEUJIpZInFuP3+/fZ7SFNmsCuXj3ceBKKiI+JAIC6tXVr1NKNxXn+/DkuXryINm3aFDr29OlT7Nixg82TMHHiRIwdO5Y6EMqgnpYWbg8ahLTPo2LuhoVj0avAb75uwSSL+WhUAiGEkNKiDoRqSF9HCwM7t8ZBv0cAJHfS1k4fqOSoCCGkcvEJDsbr5GQAgJ6aGha0bw8A2F1g9MGoXnY1aunG4rx69arIzgMAaNu2LZ4+fcpu29vbQ6SAO+g1VT0tLfaLfZSm4r7gj7t+XWqbRiUQQggpLcquV02N+cGR/f3MzRdITM1UYjSEEFK5xGZlYe2zLyvVzG/XDoYaGgiLicftF2EAAHU1FQzv0V5ZIVY6MTEx+PDhQ5HH3r17h5iYGHZbLBZDVVW1okIjZZQtErEjHQghhBB50G2VaqrJ98ZwbdsM/k/fQJAnwgG/h5gxrIuywyKEkEph6aNHyMrLAwC0rVMHw5s1AwDsOf9lSoOHiy0M9bSVEl9l1L9/fzg6OmLatGlo3bo19PX1kZKSgmfPnmHbtm3w8PAAIOloWLNmDerUqaPkiIk8otLTpbZpWgMhhJDiUAdCNTauX0f4P5UkBztw8QEmD3SRWuaREEJqIv8PH3A+KgoAwONwsMrREVwOBynpfPjeeM6W8+zrKOMKNdOmTZswbtw4zJ07t9Cx4cOHY+PGjQCAHTt24MOHD5g6dWpFh0jKgKY1EEIIKQ36NlmNObVqgqYmxgh79wmJaVk4dzsAgzoXPX+VEEJqgpy8PCwokDhxrKUlLGvXBgAcvvwYOQIhAKCjTWM0N6unlBgrq1q1auHIkSNYunQpHjx4gPj4eNSvXx92dnZo9nkEBwCsWLFCiVFWP9oqqnKvytBQWxvRmd82ZTF/WgN1IBBCCClKletAePLkCRYuXIioqCioqKhAU1MTXl5eGDx4MFtGKBRi2bJlOH78OFRUVKCrq4s1a9bAyclJiZFXPA6Hg7H9OuL3racAALvO3sVAt9a0HBkhpMbaGhiI6IwMAJJEdbNbtwYACPNE2H/xAVtubL+OSomvKrCwsICFhYWyw6gxjNTVpVZlyDf37l08SUhgt7kAPmRlKeQx86c10HQGQgghX6tSSRSjoqLQpUsXGBkZITAwEIGBgRg7diyGDBmCc+fOseWmTZuGo0eP4vbt2wgKCsLYsWPRvXt3vHjxQnnBK4mHiy0MdCQf/sGRsXgQFKnkiAghRDki0tKwNSCA3V5iZwftz4n+/O6/QmxSGgDArL4h3No2K/IaNV18fDxmzJiBli1bom7dumjZsiVmzpyJ+Ph4ZYdWrdXT0oKFgYHUT8MCyzECQG0NDeQxjEIeb9z16+hy+jQ6Hj+Ou7GxiOPzFXJdQgghVV+V6kC4ePEi0tPTMWvWLKioSAZP/Pzzz9DV1cWhQ4cAAKGhodi5cyfmzZvHJnAaP348zM3NsWDBAqXFriwa6qoY2bMDu7373F0lRkMIIcrBMAz+ePAAArEYAODSoAH6NGzIHt9TYOlGz74O4HKr1MdjhYiIiICtrS22b98OsViMJk2aQCwW459//kHr1q0RGUkd1BXJSFNTattQQ0Phj5ErFmOonx86nThBnQiEEEIAVLEOhPxOg7zPmbMBSaNQLBaz602fOnUKDMPAzc1N6tzOnTvj8uXLyPzGuYFV0ahe9lBV4QEArj4KQVRskpIjIoSQinUuMhK3Pn4EAKjzeFhub89O53oe+g7PQiVLEOpoqWNQ57ZKi7MymzNnDnr37o0PHz4gODgYd+/eRXBwMD58+IA+ffrAy8tL2SHWKHW+6jAwKocOhHzZIhFeJiQgNCWFOhIIIaSGq1IdCMOGDUPz5s2xfPlyZGZmQiwWY+XKlcjNzcXPP/8MAAgICACXy4WpqanUuebm5sjLy8Pr169lXl8oFCI7O1vqpzqoa6iLvk7WACQdLj7n75VwBiGEVB8ZAgGWPnrEbv9iYwPzAsO//z1zm/19SNd20NZSr9D4qoqnT59i165dMDQ0lNpvaGiIHTt24OnTp0qKrGYqNALhq21Fo2kNhBBCgCqWRFFXVxfXrl3DmDFjYGRkBG1tbejp6eHKlStwcXEBACQmJkJLSws8Hq/QuQCQlCT77vuKFSuwdOnSQvvfRL6DRjn27CuSWCxGaERMof0TfuiA4V1sPm9xEBIeTckUS0FWvZJvQ/VaPqhepW15G4r4zx3CDTQ10VVbn60fsViM0T3bYHRPyQo1OlqaMuuuqtWrRSPTkguVQnHTOrhcLk37qGCFOhDUK6bjK39agzqXi33du8NIQ4OSLRJCSA1SpToQQkND0aVLF/Tu3RvJycnQ0NDAsWPHMGDAABw4cAC9evX6pusvWLBAan3r7OxsGBoaopm5CTTLuWdfUUIjYmQ2Ggf/vgOPX0cDAOZ79sJEj04VGVqVVly9krKjei0fVK9fBCYm4szHD+z2X87OsP7uO3Z7yc5z8LkgWdaxn7MNNs0eJvNaNb1eTUxMsG3bNkyZMqXQsS1btsDExEQJUdVcX3fXqKuoQJ3HQ24Ryz2qc7lY4eCA3+4qLg9SfkcCAGjyeLg9aBB1IhBCSA1QpToQFi5ciNTUVGzcuJH9Qj9s2DAcPXoUo0ePxsePH2FkZAQ+nw+RSCQ1CiH985JEXw+9LEhVVRWqnzNyV0fj+jmxHQi7z92FZ18HqKlWqZcAIYTITSQW4/f79yH+nJm+v7k5OhXoPEjN4OPo1Sfs9oT+1KlanOXLl6Nr167YtGkT2rVrBwMDAyQnJ+PJkyeIjo7GtWvXlB1ijRHH52PsV/W9PSgIAKRGBuTT+zw6QZPHQ3YRHQzfKlskQlpuLnUgEEJIDVClvj0GBgbi+++/LzQaoFmzZjh9+jQiIyNhY2ODw4cP4927dzAzM2PLREZGQkVFBZaWlhUcdeXRrUMLmH9niMiPSYhLSse52wEY2LmNssMihJBycfjNG7xITAQA6KiqYlGHDlLHD/o9QnauEADgYN0I1k0aVHiMVYmTkxOuXr2KefPm4ciRIxCLxeByuXBwcMDu3bvRsWNHZYdYY6Tl5iJHRkdArlgMIw0NWBgYFDp2e9AgpOXmsttR6ekYd/26QmKK+nyjJh9NayCEkOqpSnUgGBsb48WLF8jLy2NXZACA6GjJfH4DAwN4eHhg/vz58Pf3h6enJ1vmxo0b6N69O7S1tZUQeeXA43Exvr8TFvxzBgDwv9N3MMCtNeVCIIRUO4nZ2VhVIKmfV5s2qFvgy0yOQIg9BRLKTnSn0QfycHJywp07d5CdnY3k5GQYGBhAi74kVhn1tLTK7Uv91x0RNK2BEEKqpyqV8WjatGlIT0/HokWLwHweknrjxg34+vpi6NChMDIygoWFBSZOnIhVq1Yh8fOdpz179iA8PBwrVqxQZviVwkC3NjDUqwUACImOw83nYUqOiBBCFG/548dIEwgAAFa1a2N08+ZSx8/cfInEVMmyvk1NjOHSpmmFx1iVaWpqokGDBlKdB8uXL1diRKSyyZ/WQAghpHqpUiMQBg0aBD8/P6xevRqWlpbg8XjgcrlYsWIFpk+fzpbbvHkzli5dio4dO0JVVRU6Ojq4fPkybG1tlRd8JaGhrorRfRyw/tBVAMDOU7fg2qaZkqMihBDFuR8XhxPh4QAADoBVjo7gFVghQCwW43+nvyzdOMHdiVYQKMKtW7dKVX7fvn34448/yimaipGcnIzffvsNtWrVAofDQUREBNavX49mzehzsixoWgMhhFQ/VaoDAQB69OiBHj16FFtGVVUVy5cvp7shMvzYyw7bTtxEjkCIewERCAr/AKvGNPeXEFL1CUQizL/3ZWrCjxYWaF2njlQZ/2dv8PZ9AgCgjoEO+rvYVmSIVYarq6vcU9wYhinX6XCxsbEYM2YMLl26xI5ALA8xMTHQ0NDA5s2bAUhuSIwdOxZ37twpt8eszmhaAyGEVD9VrgOBfLvaurUwpGtb7Lv4AACw49RtbP5N9tJlhBBSVex89QphaWkAACMNDcxt27ZwmVNfRh949nWAOq1GU6TGjRvj33//lasswzCYMGFCucTh6+uLWbNmlbhK0qdPnzBz5kw8eSJZWcPa2hobNmzA999/L/dj2draYuvWrex2o0aN8OHDh2LOUA49dXWZKypo8njsqgvfcp3ykC0S4WVCAtJ0ddnHp84EQgipWqjVVEON7++EA34PIRYzuHg3CHNGpcCkbuGMzYQQUlW8y8jAhhcv2O0/2reH/ldfpALC3uNBUCQAQEtDDSN7SK/MQL4YMWIEXFxcSlW+PHh7e+PKlStYsWIF3r59W2QZgUCAbt26oVmzZnj16hU4HA7Gjh0LNzc3PH/+vFQJlAuOpDh37hymTp36zc9B0eppaRVaUSFfab6Uy7rOyidPcO39e4XE+rWCoxLUuVyc7tsX1sUssU0IIaRyoUmfNZRpvdro5dASgGSt9F1naXgmIaRqW/TwIbu0nUO9ehjYuHGhMv878+W9bkjXttDXobufsixdurRcy8vr7t27aNq0+CSXe/fuRUBAALy9vaGiogIejwdvb29ERETgn3/+Ycv169cPZmZmRf48ePBA6poXLlxAeno6Zs2aVS7P61vV09KChYFBoZ/S3tEv6jpmn0cIlLdcsRjuFy4gjs+vkMcjhBDy7agDoQab6OHM/n70yhOkZtAHOCGkarocE4Mr794BAFS5XKx0cCg0J/9dfAou3g0CAHC5HIzr17HC46xKtmzZgnsF8knI69ChQ/jvv/8UFkfBZZtlOXnyJExNTdGoUSN2X7169WBpaYmTJ0+y+86ePYuoqKgif+zt7dlyFy5cwJkzZ7B///4amWDTUENDaluDxyu3x8r9PK0hNCWFOhIIIaQKqHmfioTVqun3sLMyBwBk5wpx0O+RkiMihJDS4wuFWFjg7vEkKys01dcvVG73ubsQicUAgF4OVjCpW7uiQqyS+vbtixEjRmD9+vXgy/HF7tOnT5g9ezbWrVsHNze3Cojwi4CAAJibmxfab25ujsDAwFJd6/jx47h8+TJ27NgBHo+HX3/9tdjyQqEQ2dnZUj9VXe2vpv4YyJlToazGXb+OLqdPo9OJE9SJQAghlRzlQKjhJrp3wsPP84H3nL+Hcf07QkOt+ERVhBBSmWx4+RIfsrIAACba2vi1VatCZVLS+Th65Qm7PdGjU4XFV1WZmZnh4sWLGDx4MBYtWoR27dqhSZMmMDIygoaGBhiGQXZ2NuLj4xESEoIXL17A1dUVly9fhsZXd7DLW2JiItoWkTBTV1cXfD4f2dnZ0NTULPE6AQEBGD58OIyMjHD06FEAQFpaGjZu3CjznBUrVhQ5feNN5DuF1INYLEZoRMw3X6c0ctIypbZrcbhQ53KR+7kDrrxki0TwefIMZrW0YaCmBgDQVlGFkYI6MJRRl9UR1aPiUF0qDtWlYlg0Mi2xDHUg1HBubZuhyfd18PZ9AhJTM3Ha/wWGdW+v7LAIIUQuoSkp2BkUxG7/aW8PzSKGvPtcuAd+jgAAYG9ljlZN5c/MX5NZWlri5cuXOHPmDE6ePIkLFy4gISEB4s9fJFVUVNCgQQP06tULq1evrvCRB4pmY2ODvLy8Up2zYMECzJ07l93Ozs6GoaEhmpmbyNVpUZLQiBi5GnSKlKKlBrz+MnKjUW0DHHHsUyjZYmJ2NsDhIFMgKLRkY1ltCQ+T2lbk0o/KqMvqiOpRcaguFYfqsuJQB0INx+VyMdGjE+Zs9gUgWd5scJe24PFodgshpHJjGAbz799HHsMAAHqYmqKriUmhclnZufA5f5/dnjLItaJCrBZUVFQwcOBADBw4EIDkLk9SUhJ4PB5q164c00CMjIyQkZFRaH96ejq0tLQU8kVeFlVV1RKXmKxqvs6BYKSpiXpaWoW+xFsYSFZvCk1JKbdYskUipOXm0nKPhBBSSdC3RIL+LraoW1uScTniYyIuPXil5IgIIaRkJ96+xcP4eACApooKltnZFVnu8OXHSMuUzEu3avwdOtk2qbAYqyMul4s6depUms4DQDJyICoqqtD+yMhIWFtbV3xAVVzeV1MVOECxSQ711NWhWY6JFqPS0xGaksL+UJ4EQghRHhqBQKCuqoIJ7k5YvvsiAGDriZvo5WhVKIM5IYRUFim5ufjz8WN2e6atLRpoaxcqlyvMw/9Of1m6ccpAF3pvq4YGDBiASZMmISoqCmZmZgCA+Ph4BAcHY9WqVcoNroqJ4/PR7/x5qX0H37zBwTdvZE4nqKelhduDBklNcUjMzsZPV68i9/PSqt/i6+kRipzWQAghpHRoBAIBAAzv3h76OpIhnq8iPuLm87ASziCEEOVZ/eQJkj9/WbHQ18eEli2LLHfqxnPEJ6cDABp9Z4Qe9kWXI1Wbp6cnrK2tMXfuXOTl5UEsFmPevHkwNzfH5MmTlR1elZKWm4tsGV/686cTFKWelhYsDAzYHyNNTYV0HpQ2DkIIIeWLOhAIAKCWpjrG9HVkt7cd91deMIQQUoynnz7h4Js37PZKBweocgt/nIlEYuw4dYvd/nmgM+V3qYK8vLxga2uLs2fPAgBsbW1ha2sLgUDAllFTU8OVK1fA4/FgaWmJFi1aID09HdevX4d2ESNTSNVH0xoIIUQ5/t/encdFVXcPHP/MDMMAsoOCO7ihqIj7vqGiaZqpLbaYlZVmm5VpmZqWmVlP9SvNMtuzMk0rM/d930VxVxA3VJRVhnXu7w9gZF9kFgbO+/Wax+6d79x7uA/McuZ7zldKGITRE4M68/XybdxOSWPv8Uj2hkfQoXnBdbWFEMJaMgwG3tp1pyHig40a0dHXt9Cx/+06RsSVmwDU9HJjaM9gS4QoTGzu3LmlGufj48PixYvNHI2oKKSsQQghrKNcX8Wkp6dz6dIlDhw4wJEjR4iOjjYu7SRsj7uLE4/dc6cJ2fxlW6wYjRBCFPT9iROE37oFgJu9PVPaF77srKIozF965zlszNBu2GslZy5EZSVlDUIIYRllTiAkJyczf/58evXqhaOjI/Xr16dDhw60adOG2rVr4+zszNChQ/n9999RspfWErbj6SFdjW+yNx84zbHzV6wckRBCZIlOTuajQ4eM22+1a1dgubkcWw6d4XjEVQA8XJwYGVp4okEIYV1F/Q3fjdxlDVLSIIQQ5lGmr2P27NnDiBEjMBgM9OzZk6lTp1K9enUcHBxQFIXk5GSio6M5fvw4Y8eOZe7cuaxYsYI6deqYK35hYjU8XXmgTxt+Wb0XgC+XbmbeG49YOSohhIAZe/aQlJ4OQJvq1RnZpEmRY+cv3Wz879H3dsbJwd7c4QlRKeQsyVhYI0VHjQY3na7cx8nNQ6fjZkrKXcWaX+6yBp1azYp776Wll5dJji2EECJLqRMIJ0+e5KGHHmLWrFk8+uijaEpY7zc5OZn/+7//o3///uzevRsXF5dyByss47n7e/Db2v1kGgys2hnO+csxNKjtbe2whBBV2JbLl/knMhIAtUrF7M6dURexHOOBExfYG541tpqDPU8M6myhKIWwfYUtyZjDTacrdY+B0i7teDY+vvxBFyLVYGDIypX8HBqKd/Ysh5jUVALMcjYhhKg6Sp1A2Lp1KytWrCA4OLhU452cnJg8eTLNmzdn9+7d9OvX725jFBZWz9eTIT2CWL75MIqisODPLXz44nBrhyWEqKJSMjKYkqtx4lPNmtG8mG8Vc/dveWRAB9xdpKmaEGXh6+RkkmaEhR3HXEs7FibdYOCh1auN2zq1mh31a0ujRSGEKIdSJxCeffbZMh04ISEBV1dXBg8eXOaghPWNG96T5ZsPA/DnpkO8/HAfald3t2pMQoiqad7Ro0QmJgLg4+TE623aFDn2RORVNuw7CYC9nYYxQ7pZJEYhRPktCgnBz9UVyJqtgEpFUlpagRUX7laqwcDmS5doXb26cV9ZZlUIIYQoxyoMzz//fLH39+rV624PLSqAJvV8CO0YCEBGpoGFK7ZZOSIhRFV0Pj6eeWFhxu0ZHTrgrNUWOf6LJZuM/z08pA0+Xq5mjU8IYTp+rq4EeHgQ4OFB11q16FqzpjGhYCqv79hBnxUrjLfuS5dKw0UhhCiDu17TatmyZYwdO5agoKA8+1NTU3n77bc5evRouYMT1vX8iJ6s3XMcgN/W7ueFB3rj7e5s5aiEEFWFoihM3b2btOzlgXvWrs0gP78ix5+OusaqneEAaNRqxg3vaYkwK62tW7eW+xg9evQwQSRCmE/O8o8yC0EIIUrnrhMIOp2OsWPHEhISwvTp09FqtWzbto0xY8YQGRmJo6OjKeMUVhDcpC7dWjVi+5GzpKSls/Cv7bz5xABrhyWEqCJWRkay5UrWUrI6jYb3OnVCVUTjRIDPl2wyLh88rHdr6vl6WiTOyqq8MwlVKhWZFqx3F+JuRSYk5NmWsgYhhCjaXZcwzJw5k61bt6JWq2nbti1jxoyhd+/euLu7c+DAAR566CFTxims5IUHexn/+6dVu7mVcNt6wQghqozEtDTe2bPHuP1CUBD+xUxlPnvpOiu3Z818U6tVjH+gl7lDrPQMBkO5bpI8EPnlLO1YmKKWiCzuMaby9MaNUtYghBCldNczEEJCQrCzsyM4OJh58+bx7bff0qlTJ7Zu3YqdnR0LFy40ZZzCSjq1aEDHFv7sORZBckoaC1dsZ9Ko/tYOSwhRyX106BDX9HoA/F1dGdeiRbHjv1iy2Tj7YGiPYPxqytrvQlQ0d7NEZFGPuZ2ezpB//82zb2D9+qy6cKHccUpZgxBCFO2uZyD069ePUaNGMWLECAIDAzl8+DA9evQgJCSEkydP8vTTT5syTmFFLz8UYvzvH/7dJbMQhBBmdezmTb47ccK4PatTJxzsis53n78cw9/bjgAy+8DUDh8+zJdffmncnj9/PkeOHLFiRMLW+To5GRsl5r4V92G9sMfUcnbGNVdDVRXQ2dfXZHFGJiRwKjaWU7GxMhtBCCFyuesZCGfOnOHq1at89tlnvPDCC6hUKoKCgti/fz+jRo3i1KlTLFq0yJSxCivp3LIBHZr7sTc8kuSUNL75aztvPC6zEIQQpmdQFN7ctQtD9myCIf7+9Khdu9jHzFu6GYMha/zgbkE0rFO92PGi9BwcHHj77bcZNmwY6enpvP322+zatcvaYYkqLjo5me5Ll6LPVSajAFNzlT2VV+6lIx01GraNGCEzEoQQgnLMQKhZsyZHjx7lxRdfzNPUql27duzYsQMfHx+TBCisT6VS8crDfYzbP6zcRWyCZOOFEKa3+NQpDt24AYCzVsu0Dh2KHX/h6k1WbD4MZD1XvSCzD0yqadOmvPPOO7z77ru8++67zJgxg4CAAGuHJaq4+NTUPMkDc8spaRBCCFGOGQgTJ06kfv36hd6n1Wr58MMP7zooUfF0btmA9oH12Xf8ArdT0lj093ZefyzU2mEJISqRGL2e2QcOGLcntmlT4jd+85ZuJjN7mceBXVrQuJ4kr01l5syZQFYzxd9//x1FUahVq5Zx/7Rp06wZnhAWlXulBlmlQQhRlZV6BkJyvvqvV155pdjxQ4cOBbLW8U6VrK3NU6lUvPzQnVkI36/cRVyizEIQQpjOe/v2EZ+WBkALT0+eaNq02PEXr93iz02HjNsvPdTbrPFVNYqiGBtTGgwG1Gp1gf1CVBW5V2ro+scfHL1509ohCSGEVZQ6gfDxxx8zYcKEMh08NTWVe++9lw0bNpQ5MFHxdG3VkLZN6wGQpE9l0d87rByREKKy2BUdzdJz54CsZmizu3TBTl38S9T8pVvIyMyafXBP5+YE1DddAzUB06dPZ/r06Xh5eTFixAgefvhhPD09jfuFqKpSDQaGrFzJjqtXpdGiEKLKKXUC4a233uLcuXO0atWKH374gcjIyELHZWZmcuLECT755BMaN25M69atGThwoKniFVakUql4ZWTuWQg7iU/SWzEiIURlkJaZyZRcjfkeCwigdfXiGyFeuh7L0o0HjdsvPCizD8zhxIkTvPPOO0yfPp0333yTGTNmcPLkSWuHJYTVpRsMPLR6tXFWQvelSyWJIISoEkrdA0Gj0bBixQpmz57Nq6++SlxcHHZ2dnh4eODg4ICiKOj1emJjYzEYDNStW5cPPviARx55xJzxCwvr1qoRbQLqcfBUFInJWbMQXn2kr7XDEkLYsIXh4ZyOiwPA28GBSW3blviYL5dtIT0jq4lav47NaN6gljlDrLLS09OZNWsWtWplXd9Zs2aRnp5u5ahEVeem0+Go0ZSpkeKikBBiY2Lx8PYgNru0Njk9nWl795okppxGi9IbQQhR2ZU6gTB8+HCOHTtGWFgYkyZNYuPGjWzatIno6GiuX7+ORqPBx8eHOnXqcM8999ChhM7ZwjapVCpefjiEJ2Z8D8B3K3fy9JCuuDk7WjcwIYRNupSUxKdHjhi3327fHnedrtjHXLwWy5L1d5otvvxQiNniq+qCgoIICgoC4Ntvv+W5554rcuyDDz7IkiVLLBWaqMJ8nZzYNmJEnpURYvR6Rq1fT2ohSQVHjYZW1asTn6kioH494/5TsbEmjStnBZkc0mxRCFEZlTqBcOzYMQ4dOoQu+43d4sWL+f7774scv2XLFnr27FnuAAuzbNkyPvvsM27fvk1sbCyenp68/PLLPP7440DWNyYzZ87kjz/+wM7ODldXVz788EO6detmlniqmh6tGxPcpC6HT18k8XYK3/6zgwkjZRaCEKLspu3ejT4jA4BOvr4Mb9iwxMd8vmSjcfZB3w7NaNGwtlljFFlmzZrFyJEjcXQsmDD+999/WbdunRWiElWVr5NTng/nAR4e7MiXVMiR80E+3swxvb4jb28oR42GbSNGSBJBCFGplLoHgkajwSnXE2BYWFix48vacLG0PvnkE2bNmsXixYs5cOAAp06dokmTJnkaNb744ov8/vvvbNu2jWPHjvHUU08RGhrK4cOHzRJTVZO/F8K3f++QFRmEEGW2NiqKtRcvAmCnUvF+586oVKpiHxNxJYZlG++svPDao5K8tJTY2Fg6d+6c5/U2NjaWxx9/nMGDB5OQa5k7IazB18mJAA+PAjdrfYDPKWsQQojKpNQzEBo2bEjv3r3p3LkzDg4OREdH8+677xa5lFN0dLTJgswRGRnJ5MmT2b59O3Xq1AFAq9Xy0UcfceXKFQBOnTrF119/zTfffEP17CZcY8aM4ZNPPmHKlCn8+++/Jo+rKurZujGtA+py6NRFEpNTWfDnViY/McDaYQkhbERyejpTd+82bj/XogVN3N1LfNxnv20k05C18sKgri1p5lfTXCGKfB555BEmTpzI6NGjWbx4Mb179+b1118nNTWVBQsWMH/+fGuHKESFE5kvsSZlDUIIW1fqBMKXX37JuHHj+PLLL4mPj0elUhW7jFNJ3yLdjZ9++gl3d3fat2+fZ3+tWrWMDZ6WL1+Ooij07p23I3dISAgLFiwgKSkJZ2dnk8dW1ahUKiY+FsojUxcB8P3KXTw1pCs1PFysHJkQwhZ8euQIl2/fBqCOszOvBAeX+JgzUdf4a2tWvwS1WsWEXDOhhPl98cUXQFYvhI4dO/L999/Trl07VqxYQc2aNXn22WetHKEQZVOWZoyN3dw4E1/2IoinN27Msy1lDUIIW1fqEoY6derwzz//GFdZCAoKwmAwFHnLabpkSjt37sTPz49ly5bRvXt3mjZtSpcuXfj222+NY8LCwlCr1dSrVy/PY/39/cnIyOD48eNFHj89PR29Xp/nJorWJaghXYIaAJCSls78PzZbNyAhhE04HRfH18eOGbff7dgRR7uS89mf/LrBOOttaI9gGtWtYbYYRUGhoaF8++23tG7dmszMTD755BN0Oh2fffYZqampfPnll9YOUYgyyWnGuGHo0Dy3n/v1KzC2R23T9FqRsgYhhK0r9QyE/GbOnFmu++/GxYsXiYyM5KOPPmL58uXUqFGDZcuWMXLkSK5evcqUKVOIiYnByckJjUaT57Gurq4A3Lx5s8jjz5o1ixkzZhTYfzriIg4ODqb9YczEYDBw6nyUxc739qi+RMUnkJSZAaj470g4anXW7BNnOy3eJXRTtxWWvq5VhVxX86jI11VRFF47cpCM7ERAFy9v6mVQYryZBgOj72nD6HvaAODi5GDxn7EiX9fCBDSoV/KgMtiwYQMbNmxg6NChzJ8/Hx8fH1588UU+++wzOnfuzLVr1xg3bpxJzymEueVvxghQ36XgbMofT5402Tl3XLlCZEICzvb2eDs4SFmDEMKm3HUCYfDgweW6/26kpKRw+/Zt5s6di6+vLwAPPPAAv/32G++//365GzdOmTKFSZMmGbf1ej1eXl408a9baNfpiujU+SiTv2ksTnRyMgO2bsJQyFyWyjRNz9LXtaqQ62oeFfm6Lj17liPxcQA42tnxSUhvapeirGzMez+yfl/WG/iRoe2ZPf5+c4ZZqIp8XS3B2dmZRYsWMWLECOM+lUrFK6+8wuDBg+nevbsVoxPCdBzs7HCztyc+Lc24Lz2794opTNu7N892ZXq/JISo/EpdwlARuGRnhIPz1cq2bt2a5ORkjh8/jre3N8nJyWTmq2fL6Q7t5eVV5PG1Wi2Ojo55bqJ48amphSYPQKbpCSHyik1N5d19+4zbE4KDS5U8OHTqojF5YG+n4YUHe5fwCGEOgwcPzpM8yK1hw4Y89dRTFo5ICPPxseCHeX1mJkdu3OBUbCzRybKqlRCiYrvrGQjW0LRpUw4fPowhXxY4p1whp/fCr7/+ysWLF/Hz8zOOiYiIwM7OjsDAQEuGXOUNWbkSe40GO7UajUpV4N/C9tmp1dipVGhy/avJtV3Uscx1TDuViqikJNRxcQWPVcS51WZoIiqErZtz4AA3U1IAaOLuzphSPh//b/E643+P7N+e2tXdzRGeKMHPP/9c7P3vvfeehSIRwryik5OpVoq+LKaU02xRZiMIISo6m0ogDB48mN9++42wsDC6detm3H/s2DEcHR1p3rw5bm5uvPXWW2zevJnRo0cbx2zatInQ0FBZgcHCbmdkcDsjw9phmMaB0g9VQYlJDHX+++4yMZL72MZjmiHZUtK5NYUc0xyrsQjbdPDGDX45dcq4/X7nztjn61VTmN3HzrPt8FkAdPZ2jB/Ry1whCiEE0cnJdF+6tFQrM5iDPjOTVRERBHh64p3df0t6JAghKhKbSiA89NBDfPrpp7z99tusXLkSZ2dntm3bxtKlS5k2bRrVqlUjICCAZ599ltmzZ3Pvvffi7e3Nd999x7lz50r89kQIU1HIqpdMB7DSm5CKoKTkhSHTgOOhfaVPjJSQICnLrBJ1IYmS4h5XYrKliHEyGwUyDAbe3LkTJXv7gUaN6JTdx6Yw0cnJxKemoigK039bi+JiD8DwPm2p4elqgYiFEFVVfGpqmZMHMzt0KNDXoDykR4IQoiKzqQSCRqNh9erVTJo0iebNm+Pg4IBOp+OLL77gmWeeMY77/PPPmTFjBl27dkWr1eLi4sLatWsL9E4Q5tfC05Nf+/fHSasl02AgQ1GM/2YYDGRm/2tQlDv78o3LPT5nXGHHKOzf4o6V/9zFHTMxWY9OZ1/osUoTp0FRSr5YlVCmohToR1JASuVeLrWo2SjFJiXuMjGSMzYh8TbVb14zW7KlrDNbvj9xgvBbtwBws7fn7fbti7xeBb79a6iDhvUBWKKJ5aXkZHkTLYSoMBw1Gtr7+uKo0Zht1kJOTyl57hNCVAQ2lUAA8PT0ZOHChcWO0Wq1vPfee1KPaQFuOl2xL5rHbt3ioTVr+LlfP2rY8AtfebuvGxSlTAmO/MmMAmOLeVxmvuRFUYmRzFzbxSZGyhJnIcmX3OOqIqvNRrlkuVOVRXxaGt2XLcuaVVJIUiJTUYp8PkmRN9FCCCtbFBKCn+udmVA55QXbRozI0zg6MiHB2NfAFCKzm4HnP68QQliazSUQRMWS/0XzVsJtRr3zPSmeOpRAL1CrOH7rFvevWsWv/ftTr5C1lasCdfY0fK3aphY+MSkleyZGzoyMDIOBkxEX8a9Xq/iZHHeb6CjicYbSHKuEmS1FHbOkOHOSQVVdQq6l0YQQwpb4uboS4OFRYL+vk5NZP9DnT0ZIWYMQwlokgSDKLc+LpocHT/dqx4I/t2JITEXpWAtFreJCYiL3r1rFL6GhNC3khVdUfqqcafO59rlqtXhXseVSlSJmo5QnKZH/WJeuxeDt7VFo8iLPsYqIIf+5i4ohzzELGX+1kOXItGq1SddTF9axdetWOnTogEN2k7fKJCUlhbfeeguDwUB6ejpHjhxh+/bt1g5LiDykrEEIYS2SQBAmN254T35du4/4a8koOy6h7VmfFIOBa8nJDF+1ih/79aNtjRrWDlMIq1BlT923M+NslFNq+3KV3JhCSkYGfVesIDIxEYAxgYG807Gj8f7CEiQGRWFPdDTPbtpkrbBFKfXu3ZsTJ07QpEkTi5zv6tWrPPnkk6xZswbFzLN4Jk+eTJ8+fRg8eDAAO3bsMOv5RMVSXGmmo0aDm05nhagKJ2UNQghrkASCMDk3Z0fGj+jF+9//h+pmCp6HbpLasSY3U1KIT0tj5Jo1fBMSQo/ata0dqhDCTOYfPWpMHvg4OfFa69Z57lerVAWWcTQoCvPDwiwWo7h75v4Qn9uff/7Jq6++ilarLXbc9evXmTBhAvv37wegZcuWfPrpp9SpU6fU59Lr9SxatIj27dvz1ltvcevWLcaPH1+u+IVtKayfQY6K9gFdyhqEENZQdQuyhVmNGtSJ2tXdAbgeEcNjjr7UcXYGIDkjgyfWr2dlRIQVIxRCmEtEQgLzjh41br/ToQMu9vYlPm5eWBiHb94s8v6K9u2fsIw5c+awbt06unbtWuSYtLQ0+vXrR1paGuHh4Rw/fpxq1arRu3dvkpKSSn2uyMhIkpKSOHfuHO+//z4vvfQSISEh3Czm91JUPr5OTgR4eBS4leWDec5MBkvKKWsQQghzkhkIwiwc7LW8+khfXvtsKQCLl+5gySfP89z2LZyOiyPdYGDc5s3Ep6XxaECAlaMVQpiKoii8vWsXqdnTf3vWqsW9fn4lPm53dDRzDx40bqtO32LOkD60bVrfuK+iffsnLGPHjh3Y2RX/duWHH34gLCyM5cuXG8fOmTOH2rVr8+WXXzJx4kQAhgwZQlgRs1x+++031NmlRffffz8AgYGB1K5dm3Xr1vHwww+b6kcSVUBRMxkO3LjBG2Ysi9lx5QqRCQk429vj7eAgz5tCCJOTBIIwm6E9g/nm7x2ciLhKbGIyK1bvZ9kD9zBq/XoO3biBAkzauZPY1FTGt2yJSqWydshCiHJaGRnJlitXANBpNLzXuXOJf9s3U1IYv2ULOa0VVVeT6GbnxshOreR5QZSYPABYtmwZ9erVo0GDBsZ9vr6+BAYGsmzZMmMC4e+//y72OFeyf3fVuXqU2Nvbkyrf6oq7UNjKDKlmXs532t69ebalrEEIYWpSwiDMRqNRM3lUf+P2or93kHo7ld/696d7rVrG/R8cOMB7+/dbtKZWCGF6iWlpvLNnj3F7fMuW+OdaL70wBkXh5a1buZazYkNyOuqD15g8aoAkD0SphYWF4e/vX2C/v78/R3OV05SkVq1adOvWjW3btgEQGxvLuXPn6NmzZ5GPSU9PR6/X57kJURRLl2HpMzM5cuMGp2JjiS5kZRwhhCgrmYEgzKpH68Z0DWrIjrBzpKSl8+mvG/jghWF837cvL23dyr+RkQB8dewYcampzOnSxazd6YUQ5vPRoUNcy/7w5OfiwvMtW5b4mPlHj7L58uWsDYOCZl8093VuQavGpW98J0RMTAxt27YtsN/V1ZXk5GT0ej2OpVwy9ueff+all17i5MmTXLp0iW+//Ra/YspwZs2axYwZMwrsPx1x0STLXBoMBk6djyr3cUTFuJYJ6ekWP2dOs0WdWs2PHbrgXc4kRkW4jpWFXEvTkWtpGqVZxUsSCMKsVCoVk58YwODX5gGwZMMBnh7Slcb1fJjfsydv2tuz+PRpAH4/c4b41FS+6NkTh1JMWRVCVBzhN2/y3YkTxu33O3cu8e9477VrefoeqI/HoEvKYOJj/Yt5lBDmVb9+ff76669Sj58yZQqTJk0ybuv1ery8vGjiX7fUSYvinDofZfVlWSuLinAtMw0G2LnVKudONRg4ZUgDR2e8s5Nbd9MjoSJcx8pCrqXpyLW0HPmqV5hdy0a1GdIjCACDQeGDH9cAoFGrmdOlC+NzfUu5OiqKJ9avJ8kKGXohxN0xKApv7tqFIbsMaYi/f4nLtN5KSWH85s1kZj9GFZ2E6mwcTw7uQl0fD7PHLCoXb29vErOXDc0tISEBJycnk3yQL4pWq8XR0THPTYiiaNRqXPItSaotYualTq3mo2JWH7kb0/bu5aHVq+mzYgV9Vqyg+9KlUtoghCgT+ZpXWMTEx0L5b2c46RmZbNh3ku2Hz9ItuBEqlYo327XDXadjVvba3TuuXuWh1av5qV8/PE0w/VMIYV6LT5/m4I0bADhrtUzr0KHY8QZF4ZVt27iau+/BgWt4ujjx/PCia81FxdG1a1ecKlBTtqCgIE6ePFlgf0REBC1LUUojhCW56XQk5vqiZFKbNvSuU7Bsy02nM/uyjDlLP0qTRSFEackMBGERdX08GX1vZ+P2e9+tIjPTYNwe17Ilc7t2RZ3dNO1ITAzDVq3iShnW7xZCWF6MXs/s7OQfwMQ2bUp8I/rVsWNsvHQpa0NR0OyPRpVu4JWRfXBzlm9vbcG2bduoU8gHHmsZNmwYFy5cIDK7rw7AtWvXOHHiBMOHD7deYEIUws3ePs92fVdXAjw8Ctx8nZxw0+lw1GgKPY6p2sxGJiRwKjbWeJMZCUKI4sgMBGExLzzQm2UbD3IrIZmTkdEs2XCAkaHtjfePbNIEN3t7XtiyhTSDgbPx8dy/ahWL+/enoZubFSMXQhRl1v79xKelAdDc05MnmjYtdvz+a9f44MAB47Y6/CaqWyk0qOXNI/2Ln7kgRFFGjx7NF198waRJk/jll19Qq9VMnjwZf39/xo0bZ+3whMjDNV8Cwb2Ypoa+Tk5sGzEiz0yEGL2eUevXm2xJyJwmizlk6UchRHFkBoKwGDdnRyaM7Gvc/vjntSQmp+QZM9DPjx/79cMpu/na5du3GbZqFUdjYiwaqxCiZLujo/nj7Fkg65uw2SWsohKbksLzW7YY+x7Y3dCjOhsLwOTRA9DaFf4tm6jaJk6cSHBwMH///TcAwcHBBAcHk5aduAKwt7dn3bp1aDQaAgMDadasGQkJCWzcuBFnZ2drhS5EofLPQHDPt52fr5NTnpkJ3o6OJkseFCanrEEIIQojMxCERY3s354fV+3mzMXrxMTfZv7SLUwalbfjerdatfh9wABGrVtHbGoqN1NSeGD1ar7r25fOvr5WilwIkVtaZiZv7dpl3H40IIA21asXOV5RFF7dvp0rt28D4GRQkbrvCiqgQ3M/+nVoZu6QhY2aO3duqcb5+PiwePFiM0cjRPm55ZtxUNwMBGuJTEjIs303qzUIISonmYEgLMpOo2HKUwON24v+3sHFa7EFxrWuXp0/Bw40vlglpafz2Nq1rI2S9V2FqAgWhodzOi4OAC8HBya3bVvi+HUXLwKgRkXazouo0rL6oLz95EBUKlNV8wohRMVWYAZCBUwgPL1xo3GlBlmtQQiRmyQQhMX1atOEnm2aAJCWnsGcH1cXOq6xuzsrBg3C39UVgNTMTJ7ZuJGl2VOmhRDWcSkpiU+PHDFuT23fvtg3wAeuX+f9XI0W68RkQIwegKE9gwlqXHGa8QkhhDlFJyeTnqv8QKtWE5WYWOE/nEtZgxAihyQQhFVMefIeNNm10iu3H+XAiQuFjqvj7MzygQNp4ekJQGb28m/fhIdbLFYhRF7T9+xBn5EBQCdfX4Y3bFjk2LjUVMZv2UJGdt+DQCdXLm8/D4CjTsvkJ/oX+VhhWwpbRlEIcUd0cjLdly7lu1x/K+kGg818w5+zWkOMJBKEqNIkgSCsokk9H0b2v7MCw8xF/2IwGAod6+3oyJJ77qGjj49x3zt79zL34EGU7A8lQgjLWBcVxZrsUiI7lYr3O3cusvxAURRe276dS9nLsfo4OpKw+bxx6bHxI3rh6yUrrNiKoUOHFnv/Qw89ZJlAhLBR8amp6ItofliWb/iLW9pRY8ZysJyyhsf27GDH1asVPuEhhDAPaaIorGbCyD78tfUIibdTOHLmEn9uPsyIkDaFjnW1t+fn0FCe37zZWEf92ZEjxKWm8m6nTqilfloIs0tOT2fqnj3G7edatKCJu3uR4xcdP25MNqhVKnplurDsSlbPk7o+HowZ2s2s8QrT2rx5M//99x/33HNPnv03btzg+eef59ixY1aKTIiqpbClHSFrecffzpxh+fnzZj1/uqLw0OrV6NRqfgwNxdvBQZosClGFyAwEYTVebs68/FCIcfuDH1aTcDulyPGOdnZ8HRKSZ7r0DydP8uKWLaSZcTkjIUSWz44cMc4mqOPszCvBwUWOPXzjBrNy9T14pklT/l2x17g95cmBONhrzRarMD1vb2+++uorHnvsMW7dugXAzz//TGBgIBs3bsTDw8PKEQpRdeRf2tFNp2P0+vVmTx7klmow8NDq1TZTgiGEMA1JIAiremJQZxrVyVr6LSYuic9+21DseK1azSfdu/N0YKBx318RETy1YYOxJlsIYXqn4+L4Ktc3zDM7dsTRrvBJbPGpqYzbvJn07LKkHrVqEb3jPClp6QB0CWpA/06BhT5WVFzz589nxYoVhISE0KFDB/r27csTTzxBz549OX78OOPHj7d2iEJUWcWVR1iCNFkUouqQEgZhVVo7De88M5jHpn8LwA//7uLhfu1oXM+nyMeoVSre6dABD52Ojw4dAmDz5cuMXLOG7/v2rZDLIQlhyxRF4a1du4yNEEPr1iW0Xr0ix762fTsXs2cq1HB0ZLSPH89u3wKARq1m+ph7ZdlGG+SavSJOXFwcly9f5tKlS3Ts2JGffvoJR0dHZsyYYeUIhRBFWRQSgl/233CMXg8qFd4ODkQmJPD0xo0mOceOK1eISUnB28EBQMoahKikZAaCsLpuwY0Y0Lk5ABmZBt5ZuLLE5ogqlYpXgoOZ1amTsSHb/uvXGfHff1yTKXRCmNSyc+fYHR0NZJUSzezUqcix3504wepcfQ8+696dT79fa7z/sXs6EFDf17wBC7MYOXIkvXv35vXXX2fYsGFcvHiRxx9/nC5durBx48YCvRGEEHkV1/zQUaPBzYxfgPi5uhrLHbrWqkXXmjUJ8PAwJhVMYdrevcaSBilrEKLykhkIokJ4+6mBbDpwitS0DHaEneO/nccY2LVliY97olkz3HQ6Xtm6lQxF4WRsLMNWrWJx//7Ud3GxQORCVG6xqam8u2+fcfuVVq2o4+xc6NgjMTG8l2vshOBgoo5e4njEVQDcXRyZMLKveQMWZnPhwgXS09P566+/GDx4MADjxo1j0KBBjB07ls2bN1s3QCEquKKaH0Ll/LZen5nJkRs3iM+VpKiMP6cQVY0kEESFUKeGB88P78knv2b1QJj13X/0bheAo86+xMcObdAAF62W5zZtIiUzkwuJiQz7919+Dg2lmaenuUMXolL78MABbqZkNTdt4u7OM82bFzouIS2N5zdvJi2770HXmjV51K8h/eZ+ahzz2iP9cHeRN462qn79+oSFheGSLzlbr149Vq1aRYsWLawUmRC2w9fJqUJ9gM6ZFWGu/gn5yyMcNRq2jRhRoa6BEKJspIRBVBjP3d+DOjWyunhfvhHHl0u3lPqxferWZXH//rjaZyUcrun1jPjvPw5cv26WWIWoCg7duMHPp04Zt9/v3Bn7QqbfKorCxB07uJCYCEB1R0c+79GDj35aS3ySHoDmDWrxSP8OlglcmMWcOXMKJA9y+/bbby0YjRAit7stj8iZFbFh6NA8twdzrXgF0NrbG60JetdIs0UhbJ/MQBAVhoNOy7Qxg3j2/Z8BWLB8G8ND2lC/plepHt/Bx4el99zDo2vXckOvJz4tjYfXrGFhSAi9atc2Z+hCVDoZBgNv7txJTjeSBxo1opNv4b0Lfjx5kn8jIwFQAZ/36EHUhRssWX/AOObdsUPQaCRnbcsefPDBYu/v0EESREJYS3nKI/LPiohOTmZ5RESeMYdiYkwXrBDCpkkCQVQo/To0o0frxmw9dIa09AzeWbiSb6eOKnXH9kBPT/4cOJBH1qzhYlIS+owMnly/ns+6d2dIgwZmjl6IyuOHkyc5dusWAG729rzdvn2h447GxDBj717j9svBwXTy8eHeOfOM+0aGtqdNQOGrNoiKa+vWreU+Ro8ePUwQiRCiNExVHhGfmmpchtccdly5QmRCAs729ng7OEhfBCFsjCQQRIWiUqmYPuZe7nn5/0jLyGTTgVOs3hXOPV1KX1vr7+rK8kGDeHTNGk7FxZFuMDB+yxbi09J4vGlTM0YvROUQnZzM3IMHjdtvtm2LV/ayXLklpqUxNlffg86+vkxo1YrvV+7iZGTWqg0eLk688Xh/ywQuTKpXr17lerxKpSLTiuvSCyEqpmm5ks4gfRGEsDUyn1RUOA3rVGfssDvfWr2zcCVJyWWrl/N1cmLpwIG0qV4dAAV4c9cuPj9ypMQlIoWo6mbu3UtSejoAratX55GAgAJjFEVh0s6dxr4H3g4OfNGzJzGxSXyyeL1x3OQnBuDhKm8KbZHBYCjXTZIHQojSyFmt4VRsrCz7KIQNsPkEQvfu3VGpVERm19+KyuH5Eb2o75u1gsK1Wwn8L9cHktLy0On4rX9/etaqZdw35+BB3t23D4MkEYQo1NbLl/k7u/ZVrVIxu3Nn1IWUEP186pRxnAr4vx498HFy4r3vVpGkz0r4tQmoxwN92lgsdiGEELbp6Y0b6bNiBV3/+IMdV69KIkGICsymEwjLli1j+/bthd6XlJTECy+8QEBAAIGBgYSGhhIeHm7hCMXdctBpmfncEOP29//u5Ni5y2U+jpNWy3d9+zLYz8+47+vwcF7fvp0MM9b3CWGLUjIyeGvXLuP2k82a0cKrYBPT8Js3eSfXFNQXg4LoUbs2O46c5Z9tYQCo1SreHTsEtdqmX2aEEEJYUKrBwEOrVxsTCTIrQYiKx2bf2aWlpTF58mQGDhxY6P0PPPAAhw8f5tChQxw/fpyOHTvSq1cvLl8u+4dQYR092zTh3m4tATAYFKZ8+ReZmWX/0G+v0fBFz548lmsa9pKzZ3lu0yZSMjJMFq8Qtu7LY8eIzC5J8HFy4vXWrQuMSUpPZ+zmzaRmT0/v6OPDq61bk5KWztSv/jaOGzWwE80b1CrweCGEEBVbcUtCWkpOIqHPihV0X7pUkghCVCA2m0CYN28e7du3p30hncHXrVvH6tWrmTlzJk7ZDVmmTp1KZmYm77//vqVDFeUw7elBuDhlrV185MwlFq/ZW8IjCqdRq5nduTMvBgUZ962JiuLxdetITEszSaxC2LKIhAS+CAszbr/ToQMu9vZ5xuT0PYhISADAU6fji549sVOrmf/HZs5fzlrmy9vdmVcf6We54IUQQphMzpKQG4YOZcPQoSwKCSl2/KKQEDYMHcqXPXtib4ZZZ/rMzEKXpxRCWIdNJhBu3brF3LlzmT17dqH3L1u2DK1WS7du3Yz77O3t6dq1K8uWLbNUmMIEani6MvGxUOP2hz+t4Xps4l0dS6VSMaltW6bmSjrtio7modWruZmSUu5YhbBViqLw9u7dxlkFPWvV4t5cZT85Fp8+zV/nzxu3P+vRg5rVqnE66hpf/nlnyb93nrkX12oFV20QQghhG3ydnAjw8CDAwwM/V9dix/q5uhLg4cHgBg3Y+cADpU48lMWOK1eMJQ1S1iCEddlkAmHmzJk89thj1K9fv9D7w8LCqFWrFvb5vj3z9/fn2rVrXL9+vdDHpaeno9fr89yE9T06oCNBjWoDkJicyruL/i3X8Z5r0YKPu3UzNoYLu3mTYatWcTkpqdyxCmGL/o2MZEt2eZdOo+G9zp1R5WucePzWLabt2WPcfiEoiN516mAwGJj8xXLSM7KSD33aN2VQ15aWC14IIYRZFVfS4KjR4KbTGbfLkngoi2l79xpLGqSsQQjrsrN2AGV15swZlixZwokTJ4ocExMTg4uLS4H9rtlPZDdv3qRGjRoF7p81axYzZswosP90xEUcClkDvSIyGAycOh9l7TBM7oNxg0hKvjNLIPx0BHZ2d1+fF6zRMT2wBe8dP0a6onAuPp57//6bD4NaU8+pWoHxlfW6WptcV/Moy3W9nZHBlH27jdsP16lHWkwcp2LijPv0mRmMO7DPOEOhhasbQ9y9OHU+irT0DCY/1it7pArXag6cjrhoop+kYrG139eABvWsHYIQohLIKWnIKSOIvHQVvzo1gazkgq+T5ZfqzSlrsMa5hajqbC6BMGnSJCZPnoybm5vJjz1lyhQmTZpk3Nbr9Xh5edHEvy6Ojo4mP585nDofVWnfNM785l++/WcHADW93Fj7xcu4ON19YiegQT2a1q3NU+vXczsjgxupqbwWdoifQkNp5e2dZ2xlvq7WJNfVPMpyXd/Zs4ebaVlvCv1cXJjaoxsOdndeGhRF4eVt27ioz/qmx0On49sB/alVrRpXY+Lp98KnxmUbp4+5lycHdzHxT1NxyO+rEKKq8nVyuvNhPTaRAA8P6wYERGb348lhrWSGEFWNTZUwbNu2jWPHjjFu3Lhix3l7e5OYWLBOPiH7icarkGXJALRaLY6OjnluouJ4/bF+1KmR9YJ19WY8c35cU+5jdq1ZkyX33INH9vS7W6mpPPjff+y4erXcxxaiogu/eZNvc83mmtW5c57kAcDvZ87w57lzxu1Pu3enVrWsWTrTv/7HmDwIblKXUQM7WSBqIYQQtqAsqznUdXYu8/Gf3rjRWNIgZQ1CWI5NJRDWrVtHZmYm7du3Jzg4mODgYBYsWADAwIEDCQ4OZtWqVQQFBXHlyhXS8nXXj4iIwMfHp9DyBVHxOTnY88H4+43bP/+3hz3hEeU+bitvb5YPHEjN7Kz17YwMRq1bx+oLF8p9bCEqKoOi8OauXRgUBYDBfn70rF07z5iTsbG8vftOecO4Fi3oU7cuAKt3HWPtnuMA2GnUzB4/FI3Gpl5ShBBCmFH+1Rxybg82apRnnItWS2df33KfT1ZrEMIybOrd3syZMzl37hyHDx823saOHQvAqlWrOHz4MAMHDmTYsGGkp6ezc+dO42PT0tLYsWMHw4cPt1b4wgS6BTfiwb5tjduTv/iTlNT0ch+3kbs7KwYNokF2n4zUzEye3bSJJWfOlPvYQlREi0+f5uCNGwA4a7VM79gxz/3J6emM27SJlOy+B+1q1OCNtll/e/FJeqZ99Y9x7LP3d6eZX00LRS6EEMJW5G6qmHML9PTMM8bHyYnluVb4KY8dV66w5sIF44oNMiNBCNOzqQRCaYWGhtK/f3+mTp1KcvYTx6xZs9BoNLz11ltWjk6U15QnB1LdI6tJZsSVm3z2+0aTHLe2szPLBw2iZXaJi0FReHX7dr4+dswkxxeioriZksLs/fuN26+3bl2gbnTK7t2ciY8HwF2nY17Pnmiz1/ee9d0q43KqfjW9eOlB0y3VJYQQonLzrZa3WXUNR0fSDQaTHHva3r08vXGjccUGKWsQwvRsNoGwatWqQksYcixdupSgoCCCg4Np1qwZO3fuZPPmzdTON0VX2B43Z0fefW6Icfvr5ds4du6ySY7t5eDAkgED6JRrKt3MfftYFHEOJXuqtxC2bta+fcRnl3g19/RkdLNmee5fcuYMf5w9a9z+tHt3amfXp246cIol6w8Y75s9/n4cdFoLRC2EEKIysFfn/fiRv/eOKekzMzly44bMRhDChGxuFYYcAwcOZODAgUXe7+zszLx58ywYkbCkAZ2bc0/n5vy3K5xMg4E3Pv+Tvz56Hm05lnbM4WJvz8/9+vH85s2svZi1HN3iqEjUu3Yxq1MnNGqbzbsJwZ7oaJZkJwdUwOwuXbDL9Tt9Oi6OKbn6HjzXvDl9s/sexCfpeXPecuN9owZ2onPLBpYJXAghhM2LTk7m+c2b8+zbeOmSWc/59MasmaqOGg3bRoyQlRqEKCf5JCRs1oznhuBaLWsZx+MRV/ly2RaTHdvBzo6vQ0J4IFejn59PneLFrVtJy64JF8LWpBsMvLVrl3H70YAA2lSvbtxOTk9n7KZN6DMyAGhTvTqT27Uz3v/et6uIvpm1mk1dHw8mjepvociFEEJUBvGpqcbeOpamz8xkVUSEsT+CzEoQ4u7Y7AwEIWp4uDD16UFM/L9lAPzf7xvp074pzRvUMsnx7dRqPu7WDXedjoXh4QD8HRFBfGoqC0NCcNLKtG1hWxaGh3MqLg7IKteZ3LZtnvun7tnD6ez73eztmd+rl7HvwaYDp/hjw53ShQ9fHE41R51F4hZCCCFMYdrevXm2ZVaCEGUnMxCETRsR0oY+7ZsCkJFp4NVP/yA1PcNkx1erVExr356n/O5M095y5Qoj16whVpYKEjbkUlISnxw+bNx+u1073HV3EgBLz57l91yrjvyvWzfqZPc9kNIFIYQQ1qBTq/myVy90mvKXqBZGln4UouxkBoKwaSqVitnPDyX0pc+IS9Rz6sI1Pv11g0mnVqtUKh6t70+jmj5M2bULBThw4wYjVq3il/79JWstbML0PXuMpQkdfXwYkas850xcHG/mKm14pnlz+tevb9yW0gUhhBCWsCgkBL/sJbUB3HQ6fJ2caO/jk+eDfmRCgrG3QXlFJiTk2c45pxCicDIDQdi8Gp6uvPvcfcbtr5Zv5cDJKJOfZ1TTpnzRsyd2KhUAp+LiGPbvvwVeeISoaNZFRbEmKutvwk6l4v3OnVFl/x7rMzLy9D0I9vbmzVylDVK6ICqj9PR05syZQ7Vq1YiMjCxw/6VLl7j//vsZO3YsgwYNYn+uZU+FEObj5+pKgIeH8ZbzQd7XySnP/txJhvJ6euNG+qxYYbzJ0o9CFE8SCKJSGNw9iEFdWwJgMCi8/tkf6FPTTH6e+xo04Lu+fXHInkoXlZTEsFWrOH7rlsnPJYQp6DMymLpnj3H72RYtCPDwMG5P27PH2BfBNbvvgX327/ethNu88fmfxrFSuiDM6erVqwwYMMCY3DKnBQsW0LNnT5KL+JDw/PPPM3z4cBYsWMD777/Pgw8+SKY00BWi3Nx0OhyLKEdw1Ghw01k/QS1lDUIUT0oYRKXx3tj72BMeQUxcEhFXbjLnxzW888xgk5+nd506/Na/P0+sX098WhrX9XpG/PcfP/TtS3sfH5OfT4jy+OzIES4lJQFQx9mZV1q1Mt7357lz/Hr6tHH7427dqOfiAoCiKLw1fwU3YhMBqOfrKaULwmz+/PNPXn31VbQlNKe9fv06EyZMMM4IaNmyJZ9++il16tQp0/lefPHFIu+7desWK1eu5McffwSgVatWZGZmsm3bNnr16lWm8wgh8vJ1cmLbiBGFfkCvSKUDUtYgRNFkBoKoNDxcnfhg/P3G7e9X7mJn2DmznKudjw9/3HMPNRwdAUhIS2PkmjVmX8tYiLI4ExfHV8eOGbdnduxoXD3kXHw8k3fuNN73VLNm3JOr78HSjQdZvStr9RG1WsUnEx6U0gVhNnPmzGHdunV07dq1yDFpaWn069ePtLQ0wsPDOX78ONWqVaN3794kZSfJTCEyMhJ7e3vc3d2N+3x9fYmIiDDZOYSoyvKXI+QvV6gIpKxBiKJJAkFUKn07NOOBPnfqt1/7dCnxSXqznCvQ05PlgwZRP/sb25TMTJ5av54V58+b5XxClIWiKLy1axfpBgMAoXXrElqvHnCn70Fydt+DIC8vprRvb3xsVPQt3vn6H+P2CyN60bZpPQtGL6qaHTt20Lhx42LH/PDDD4SFhTFnzhzs7OzQaDTMmTOH8+fP8+WXXxrHDRkyBD8/v0Jvu3fvNvePIoSwgOJKIfIzRVGUlDUIcYeUMIhKZ+rTg9gZdo7LN+K4ejOeN+ctZ94bI81SV1vfxYU/Bw7k0bVrORkbS4ai8OKWLcSnpvJEs2YmP58QpbXs3Dl2RUcD4KDRMLNTJ+N9M/bu5URsLAAuWi1f9u5tXCIrIzOTVz/9g9spWT1EWjWuw4sPhVg4elHV2NmV/HZk2bJl1KtXjwYN7vTh8PX1JTAwkGXLljFx4kQA/v7773LFUr9+fdLS0oiLizPOQoiOjsbPz69cxxVCmE5RpRBPrl9PVL4ZSYqJzrnjyhVjaYOzvT0N3dwq1KwJISxFZiCISse1mgOfTHgAtTorYbBq57E8XeRNzcfJiaX33EPb6tWBrBeqKbt38+nhwyiKqV62hCi9xPR03t23z7j9SnAwdZydAfjr/Hl+PnXKeN9H3boZZ9EALFi2lf0nLgDgqNPyyYQH0dqZZ/1tIcoiLCwMf3//Avv9/f05evSoyc7j5eXFoEGDWLlyJQBHjhxBrVbTo0ePQsenp6ej1+vz3IQQ5ldYKYRXdmmpOUzbu5enN27k6Y0beWj1arpJWYOoomQGgqiUOjT3Z/yIXny+ZBMA7yxcSbtmfjSo7W2W87nrdPzavz/PbtrE5suXAfjo0CFiU1OZ3qEDagt0FRcix6KIc9xMSQGgibs7zzZvDsD5+Hje2LHDOO6Jpk0ZlOtb1bAzl/j0tw3G7befGmi2vxkhyiomJoa2uZYYzeHq6kpycjJ6vR7HUn542Lp1K0uWLAFg+vTp3H///QwdOtR4//z583nhhRfYvn07UVFR/Pbbb2iKmC49a9YsZsyYUWD/6YiLODg4lCqe4hgMBk6dN/3SxFWRXEvTqMjXUZ1hudVSUjIzWXXsOLUds2YhONtp8S7jKhIV+VraGrmWphHQoOSSVUkgiErrpYdC2H7kLIdOXSQ5JY2XP/6dZXOew15rnl97J62Wb/v04ZVt2/g7u9nWouPHiU9NZW63bmjVMuFHmN+hGzdYefWycXtW587YazSkZGQwbvNmbmf3PWjp5cXUXH0PklPSeOWTJWRkZvVM6NO+KY/072DZ4IWwkB49etCjRw+++OKLQu+vW7cuf/31V6mONWXKFCZNmmTc1uv1eHl50cS/bqkTGsU5dT6qVG/oRMnkWppGRb6OPpFnIdZyS2tPC78z+8lRo2HbiBFlKmuoyNfS1si1tBz5RCMqLa2dhs9efQjn7M7xR89d5n+L15v1nPYaDZ/36MHjAQHGfUvPnePZjRvRZ39wE8JcMgwG3ty501jvOaJhQzr7+gIwc98+wm9lvaly1mqZ36sXDrnqzqd99TfnL8cA4OVWjQ9euN8sfUOEuFve3t4kJiYW2J+QkICTk5NJPqzfDa1Wi6OjY56bEMI6XOztrXZufWYm5+LirHZ+ISxFEgiiUqvn68nM54YYt79avs1sSzvm0KjVvN+5My+3amXct+7iRR5bu5aEtDSznltUbT+ePMmx7CSBm709b2fPMPgnIoIfT540jpvbtSv+rq7G7T83HWLpxoN37n9pONXd7/RFEKIiCAoKIjIyssD+iIgIWrZsafmAhBAVjnP2UsW56YooP9Kp1XxUzNKxd+OxdevYcfUqp2JjpT+CqLSkhEFUevf3CmbLwdP8tfUIiqIw4ZM/WPXpC3i5OZvtnCqViolt2uCh0/HO3r0A7Ll2jQf/+4+fQ0Pxlm+ohIldS05m7sE7SYA327bF29GRiIQEJubqezCqaVMG52pEd+7SDd5ecGeq9pj7uhHSrqllghaiDIYNG8Zzzz1HZGSkcUWEa9euceLECWbPnm3d4IQQFUJhCYS/770Xu0Jm1LnpdCZfmjHdYOCh1auBuytpEMIWyAwEUempVCreHXsfdWp4AHDtVgITPvkDg8Fg9nOPad6cT7p1Q5P9wnXs1i2GrVrFpXxLDAlRXjP37iUxPR2AZi6uPBIQQGpmJs9v3kxS9v7mnp5My9X3ICUtnfFzfyU515KNbzweavnghSiF0aNH07JlSyZNmkRGRgYGg4HJkyfj7+/PuHHjrB2eEKICcC2khKGhq2uB1RoCPDzwdXLCTafDsYgZCuWlz8zkyI0bnIqNNd5kVoKoDGQGgqgSXKs58NlrD/HQW1+TkWlg66EzfLlsK+Mf6GX2cz/QuDFuOh3jNm8mNTOT8wkJ3P/vvyzu35/G2WuMC1EeWy9f5q/sxp1qlYqXGzdFrVLx7r59HL15E4BqdnZ8ma/vwaxvV3EyMhoAFycdn7/+sNmajApRnIkTJ7Ju3TqiorI6aAcHBwOwd+9e7LM/ENjb27Nu3TomTJhAYGAgKpWKFi1asHHjRpydzTejTAhhO/LPQLBXq/O87uXn6+TEthEj8sxEiNHrGbV+PamZ5V/R4emNG/Nsy6wEURnIO0VRZbRtWo/JTwzgvW9XAfDx4nW0aVqPzi0bmP3cofXq8VO/fjy1YQNJ6elcTU5m2KpV/NSvH8HVq5v9/KLySsnIYMru3cbtJ5s1o7GLC/9GRvL9iRPG/XO6dqWBm5txe9WOo/z03x7j9gcvDKOer6dlghYin7lz55ZqnI+PD4sXLzZzNEIIW+WSL4FQmqaKvk5OBT7QmyJ5UBh9ZibxqamSQBA2TUoYRJXy9JCu9OvYDACDQeGlj3/nemzBrt7m0KVmTZYMGIBn9hrBsampPLR6NduvXLHI+UXl9OWxY0QkJADg4+jI661bc0Wv5/Xt241jHm3ShE6+vsYplFvORvL6d/+guNijOGh4dEAHBnWVJnRCCCFsm3O+hEH+hEJFEJmQYHw9jrydJGUNwubIDARRpahUKj56aQSDJnzBpeux3IhN5OWPf+fnGU+h0Zg/nxbk7c3yQYMYuWYNV27f5nZGBqPWreOLnj0ZmN0UTIjSikhI4IuwMOP29A4dsNdoeO/E0Tv9EDw8GNeyJd2XLkWf+xuVrjUBUBkUnh3W26JxCyGEEOaQP2FQWE8EaytQ1nBov5Q1CJsiMxBElePm7Mj8N0Zib5fVNGfX0fN89tsGi52/oZsbKwYOpFH2dPI0g4Gxmzfz2+nTFotB2D5FUXh7927jNMsetWox2N+f9/fv51Ri1qwaB42GyW3bsvnSpbzJg9zHUatIwfwNRYUQQghzy98DoTQlDNaWU9YghK2QBIKokoIa1+HtpwYatz//YzNbDlruA3wtZ2eWDRxIK29vAAyKwus7drDg6FGLxSBs278XLrDl8mXj9mMBAbywZQuLjh837kvJzOSJ9et5e8+ewg4hhBBCVCr5EwYVsYShMLnLGqSkQVR0kkAQVdbjAzsxqGsLIOvb3Jc+/p2o6FsWO7+XgwO/DxhAF19f47739u9n9v79KIpisTiE7UhIS+PgjRssOn6csZs25bnv2U2bjCsxCCGEEFVR/hkId1PCYM6lHYvy9MaN9Fmxgj4rVtD1jz+MKygJURFJDwRRZalUKj54YRgnIqI5fyWG+CQ9z77/M39+OBYnB8tMeXPWavmxXz/Gb9nCmuzly+YdPUpsaiqzO3dGo5YcX1WjKAo39HrOxMdzNi4uz7/X5FsJIYQQokimKGEobGlHgFspKTywerVx21WrJSG735AppRoMDFm5kp9DQ/F2cACykhrSI0FUFJJAEFWai5MDX095jKGvf0mSPpWTF6KZ+H/L+GLiw6hUKovE4GBnx1e9ezNp505+P3MGgMWnTxOflsb/9eiBzsJZcGEZBkXhYlJSVnIgV6LgbHw88Wlp5Tr2E/X9ualSWBkZaZpghRBCCBtgp1bjaGeHPiMDuPseCIUt7Xjl9m3UYOwa5GZvb5YEAkC6wcBDuZIVjhqNNFoUFYYkEESV16hODT6Z8CDPvP8TAP/uOEqLhrUYN7ynxWKwU6v5qGtX3O3t+So8PCuOyEgS09JYGBJCNRup4RMFpWVmEpGQcGcmQXay4Fx8fJnXmfbQ6YjN9Y2Im709E9u04e3du437nm3enPWRFzh/O+nOA1MzwE4Nhaw04qjR4Ja9tKgQQghhy6KTk3HUaIwJhJSMDE7Fxpb7G/zo5GR6LluWp+Xwxdu3yxlt6eU0WpQEgqgIJIEgBNCvYzNeGdmHT3/NWo3hw5/W0sy/Jr3aNLFYDCqVirfbt8fDwYEPDhwAYOuVKzy8Zg0/9u2LR/Y0NlExJaWnG2cQnMn174XERDLL2NOidrVqNHJ3p7Gbm/Hfxu7u/HfhApN27gTulL+MWrcuz2O/O3GCdMOdtziqK0moD18HNbz4aF8Gdw/KM16mRQohhKgMopOTCyxZvODYMRYcO1bub/DjU1OLXM0IYFFICH6urgDE6PWgUpGUllZgycbyOHTjRp5tef0W1iIJBCGyvfRgb8LPX2HdnhNZTRU/+o2/Px6PX00vi8WgUql4ISgId3t73ty1C4WsF4zh//3HL6Gh1KxWzWKxiMLdTEnhdFyccTZBTqLgahn7E9ipVPi5utIoOzmQkyho6OZW6IyTmykpvL9/v3H75VatmLF3b4Fyh5zkQTWNHen7r5B5IR4VMDykDa8N7mGx0hwhhBDCkor7kG/ub/D9XF0J8PAAMP57KjbWpOd4fceOPNtS1iCsRRIIQmRTq9X875UHGDrxS85dukHC7RSeff8nln4w1uKxPNa0KW46HS9t3Uq6wcDpuDiGrVrFL6GhNHBzs3g8VY1BUbhy+3aeBEHOv7FlXKvZQaOhUfZMgibu7saEQX0XF+zL0N9i1r59xmRBc09Pruv1HMz3bUSODp5eRKw8Tuz1BFRAm4B6zBp3nyQPhBBCiEpCyhqEtUgCQYhcXJwc+PrNxxg6cT6JyamcjrrOC3N/ZcqoPhaPZbC/Py729jyzcSP6jAwuJiUZkwjNvSw3K6IySzcYiExIKJAoOBsfb6yfLC13nS5PyUHOv7WdnVGX84P7nuholpw9C4AK6Fu3Lp8dOVJgnLNWy1ut2xJoUDPielZfhNrV3fnqrUdxsJc+GkIIIYSl5CwHWVzpQ3lFJiQUOKckFIS5SQJBiHwa1qnO/732ME/P+hGDQWHroTO8+lB3FEWx+De4vWrX5rf+/Rm1bh3xaWnEZC8h9F2fPnT09bVoLLYsOT09K0GQq5Hh2fh4IhMSyChjfwJfJ6c8MwlyEgVeDg5m+f1INxh4a9cu43bP2rULTR50q1mTD7t04f35/9B0YFsAHHVaFk55nOruLiaPSwghhBBFK2o5yBi9nic3bCA51xcV7WvUYN/162U+R/4eC1LWICxBEghCFKJ3uwCmj7mX6V//A0BaegbfrdzJU4O7WjyWtjVqsGzgQB5ds4Zrej0JaWk8snYtX/fuTZ+6dS0eT0UWm5LCmXwlB2fj47mUlFTyg3NRq1TUd3EpMKOgkZvbXS8Jdbe+CQ/nVFyccXvz5csFxszq1InHmzblk8XrWb0rnKeyEwifTHiQQP+algpVCCGEqJSKm01Q3GpG+ZeDjE5O5t5//ilwnLtJHhRGyhqEJdhUAuHw4cPMmzeP7du3Y2dnR2ZmJn379mXq1KlUr17dOC4pKYnJkyezbt06NBoNderU4ZNPPqF58+ZWjF7YmicGdSbicgzf/5v17e+7i1ZRz8eTvh2aWTyWph4eLB80iJFr1nAhMZHUzEye3rCB/3XvzrCGDS0ejzUpisLV27cLTRTcTEkp07F0Gg0N3dwKJAr8XV3RlaE/gblcTkrif4cPF3m/m709KwcPxt/VlT83HeLzJZuM9018LJQBneU5TwghRNVwtx/yS6Oo2QQ55y3tB/aSVnMwhR1XrhCZkICzvT3eDg5S1iBMzqYSCA8//DDNmzdn//79VKtWjcuXL9OnTx9Wr17NkSNHcHR0BOCBBx4gMTGRQ4cO4eTkxNSpU+nVqxeHDx+mdu3aVv4phC2Z+vQgoq7dArI+uL708e/8MftZmjeoZfFY6rm4sHzgQB5du5YTsbFkKAovbd1KfGoqTwYGWjwec8swGIhKTORMXFyeZMHZuDhul7E/gau9/Z2Sg+x/G7u7U6daNTRqtZl+gvKbtmdPkb0Ymri7s+6++9Co1Ww7fIY3Pl9mvE9rZ8fzI3paKkwhhBDC6kz1Ib+449vCB/Fpe/fm2ZayBmFqNpVAAJgzZw7Vspeyq127NhMnTmTMmDGsWrWK4cOHs27dOlavXs2GDRtwyv5DmTp1KvPmzeP9999n3rx51gxf2BiNRs3/vfYwp85fACA5JY2n3/uRFXPH4etl+dUQajg5sfSeexi9fr1xutvUPXuITU1lQnCwTXbZ12dkcD67P0HuJEFEQgJp2UsSlpaPo6Ox1KBxrhkFNRwdbe7arL94kTVRUYXeF+Tlxb+DB6NSqQg/f4VxHywmIzPrWrUPrI+Tg9bmfl4hhBCivGzlQ35JVEDZOjQVTZ+ZyZEbN4h3dZXZCMIkbCqBEBYWhn2++uNatbK+CY7NXmt12bJlaLVaunXrZhxjb29P165dWbZsmSQQRJk5O+mo5qijhocL12MTib6ZwKh3vmPJ+8/i7mL5J2E3nY7F/fvz7MaNbMquh//f4cPEpqYyo2PHcnf8N5e41NSsBoY5jQzj4zkRE0P0lpQyvUiqyJqNkXs2QSM3Nxq5uZVremJFcjExkdHr1xd6X30XF/645x5UKhWXrscyeuYPJOmzvm1pVKc6C996nGs3YiwZrhBCCCFMyFTJgxw5zRZ1ajUr7r2XlrKalygHm0og5E8eAJw+fRqVSkWPHj2ArCRDrVq1Coz19/dn5cqVXL9+nRo1ahR6/PT0dDJyTRfW6/UmjF7YMpVKxaK3R/HQlIUkp6RxOuo6T7/3Iz/PfApHnWWb6gE42tnxbd++TNi2jRXnzwPw3YkTxKWm8r/u3dFaaVq+oihc0+vzrHSQ8+/1Mv492avV+Lu65lnpoHF2fwJHO5t66iqTlZGRjN20qdD7dBoNC0NCqKbVEpeYzBMzvudGbCIANTxc+H76aNxdnLh2w5IRCyGEEMIWpBoMDFm5kp9DQ/F2cABk6UdRdjb9LjwzM5NFixbx9NNP06RJEwBiYmJwcSm4ZJmrqysAN2/eLDKBMGvWLGbMmFFg/+mIizhk/5FVdAaDgVPnC5/2LO6ewWDAXg1/vPcEt/V3autOnL1ANUfrfes9vo4fSkoaf125BMDy8+e5EhfP9MCWZm0CmKkoRKfouXD7NlHJyUQl3zbebpexOZCTRkM9p2rZNyfqZ/93TUcHNKp8iZC4JKLiyraigq2IT0/n8zOn2HTjWpFjnm/QGE1cEqfiEknSpzH7uXsAUKGimpOO20mJnEpKlOcBM7G16xrQoJ61QxBCCJFLcY0eLSXdYOCh1auN29IjQZSVTScQ3n33XbRaLZ9++qlJjjdlyhQmTZpk3Nbr9Xh5edHEv66xQWNFd+p8lLxpNIPc1/WvLYd5+X9LjPeNCGnD3JeGW63m/IsG9fA/fJhPs7v177l1kxlnTvBtnz7lntKfkpHB+YSEAqUHEQkJpJbxxc/bwSHPSgeN3dxQJ9yma9PGVb5ef/3Fi7yxd1+xszTua9CAV7t2ItNgYPyHv7Jm93EA7DRqvpv2BO0b+RnHyvOAech1FUIIUR75Gz1GXroKrtWMJQbWIEs/irKy2QTCd999x5IlS9i8ebOxqSKAt7c3V65cKTA+ISEBAK9ian60Wi1ardb0wYpK5b6ewcTE3+bdRf8CsHTjQbzcnXnziQFWiUelUvF669a429vzTnbn3T3XrvHg6tX8HBpK9VIkvxLT0u4kCHKVHkQlJWFQylaJV9fZ+U5vglwJA49CkhmnUqOqdPIgIS2Nd/bsYcnZs8WO83d1ZU6XLiiKwhuf/2lMHgB8+OJwugc3NneoQgghhDCBPI0eYxPBteDM6dwWhYTglz2TOkavB5WKpLQ0kyYdDt3IW/soZQ2iODaZQPjpp5/4+OOP2bhxY4FyhKCgIPbv309aWlqePggRERH4+PgUWb4gRFk8PaQrMXFJfLlsCwBf/bkVL9dqPHt/d6vFNKZ5c9x1Ol7bvp1MRSH81i3u//dffu3fn7ouLiiKwg29Ps9Mgpx/ryUnl+lcdioV/q6uNHJ3p0muZoYN3dwqdX8CU9p6+TKv79jBldu3ix2n02hY0KsX1ezseGfhP/y56ZDxvjefGMCw3q3NHaoQQgghrMTP1ZUADw8A47+nspvHm8rrO3bk2ZayBlEcm3un//PPPzNnzhzWr1+Pr68vACtXruTKlSs8++yzDBs2jK+++oqdO3fSq1cvANLS0tixYwcjR460YuSisnnj8VBuxiexZP0BAN7//j8c7O0YNaiz1WIa0agRLlqtMSsdmZhI56VLcbW3RwXEp6WV6XhOdnZZKxzkKz2o7+pqtUaNtu52ejqz9u/nx5MnSzX+nQ4daO7lxUc/r+WHf3cb97/wQC+eG9bDXGEKIYQQwgKK64vgqNFYZYUpKWsQxbGpBMIvv/zCM888w7vvvsv6XEucbdu2jZo1awIQGhpK//79mTp1KmvWrMHJyYlZs2ah0Wh46623rBW6qIRUKhXvPz+U2MRk1u05AcC0r//Bzk7DI/07mP38aZmZRCQkFJhRcC4+vsDYhBISBx46XZ6ZBDmJgprVqlXYZSFt0e7oaF7bvp0LiYnGfXWcnXk8IIAPDhwosGzTYD8/HgsI4Ks/t/LFH5uN+0cP6sxrj/azTNBCCCGEMJv8fRFys2YpQWR2+XdFiEVULDaVQHjxxRdJSUlh4sSJBe6bPn268b+XLl3KpEmTCA4ORqPRUKdOHTZv3kzt2rUtGa6oAuw0Gr6YOJJn3/+ZLQdPA/DW/BXYaTQ82LetSc6RlJ7O2XxLIp6Ji+NCYiKZZexPANCzVq28Mwrc3fGykVVGbJU+I4MPDx7km/DwPEmCR5o0YUq7djy8Zk2B5EF9Fxc+7NqVb//Zyewf7nRLHh7ShmljBlXp3hFCCCFEZZKnL0IplGU1h7rOzlxMKvsKVvl7LEhZg8hhUwmEW7dulWqcs7Mz8+bNM3M0QmTRae34avKjjJn1E9uPZDXDe+Obv7hpSCOkfdM8Y4vL3t5MSclKEOTrT1BSjXx+GpUKP1dXGrm5YadW829kpPE+rVrNyIAA7vXzK9Mxxd07eOMGE7ZtyzMzxMfJiblduxJSpw7fHj/O0Zs38zzGXq1mQa9eLFm9z9isE2BA5+bMeeF+1FI+IoQQQlRZRc1aUBSFQf/8Q6rBYNx3r58fXx47Vu5zSlmDyGFTCQQhKioHnZaFUx7jyZk/sOtsFJl96jPr8klmXc5b5+6o0bDknnuIS00tMKMgtpCpa8WeU6OhYb7+BE3c3fFzccFeozGOu3L7No+uWcOZ+HjSDQae37yZ+M6deTQgwCQ/uyhcamYmnxw+zPyjR/OsZDG8YUNmdOyIu07HteRk5h48WOCx0zp0YO/OU3mSB33bN+X/XnsIu1z/3wohhBCiaipq1kJtZ2fO5yo/aOLhgbOdHUkZGeU+544rV4hMSMDZ3h5vBwcpa6iiJIEghIk46uxZ9PYoHvzgB47YFf4NsT4zk8ErV5bpuG729ll9CXL6E2T/W8fZuVT9CWpVq8aygQN5fN06jsTEYFAUJu3cSVxqKuODgsoUiyidYzdv8sq2bZzM1SXZ28GBD7p0YUD9+sZ9M/fuJTE9Pc9jB/n5kXnmJu8uWmXc17d9U+ZPegR7rTxlCyGEEKJw0cnJuOdrujhpxw7Scs1IKI9p2cuF55CyhqpJ3o0KYULVHHW8N/Y+Bq9eVfLgfHycnPI2Msz+19vBodz17p4ODvw+YABjNmxg+9WrAMw+cIDY1FSmtGsn9fQmkm4w8EVYGJ8dPkxGrlkHg/z8eL9z5zy9JrZducJfERF5Hl/fxYXmsSre/UGSB0IIIYQovejkZLovXVqgL4KpkgeF0WdmcuTGDeJdXWU2QhUi70iFMDEnB/ti7/d1dKSlt3eeFQ8aubnhal/848rLWavlh379eGHLFv67cAGABceOEZeaypwuXdBIXX25nIqNZcK2bYTl6mfgrtMxq1Mnhvj750nSpGZmMmXXrjyP16rVdNE78r+la437+rZvyjxJHgghhBCiBPGpqaVqqmhqOc0WZTZC1SHvSoWwMHuNhqcCA+leq5bFz63TaPiyVy8m79zJb2fOAPDbmTPEp6XxRc+e6KS+vswyDQa+Cg/no4MH82T5+9aty5wuXfAp5IX0y6NH89QnArRNd+SPf3YYt0M7BvL5xIfRSfJACCGEEBWcPjOTVRERBHh64p0941JmJVRO8s5UCAuLSkpi5Jo13FO/PtPat6eui4tFz2+nVjO3a1fcdToWZHfl/e/CBZ5Yt45v+vTBWau1aDy27Hx8PBO2bePAjRvGfS5aLTM6duSBRo0KLQ2JTEjg87CwPPvqpNux79/D5Iwe1qs1H740TBomCiGEEMJmSI+EqkHmLAthYjlr8xYqV138fxcu0Gv5cj4+dAi9CTrjloVKpeLt9u15s21b477tV6/y0OrVxKakWDQWW2RQFBYdP07oX3/lSR70qFWLDUOH8mDjxoUmDxRF4e3du0nNNcXQMQOurj1lTB48fk9HPnp5uCQPhBBCCGFWH3XtatbZpzlLP4rKRWYgCGFiha3Nm2kw8L/F61m76ziKvxtKA3dQq4xL/f1x9izT2rfnnvr1LdrQcHxQEO46HW/u2oVBUTgSE8OwVav4pX9/alWrZrE4bElUYiKvbd/Oruho4z4nOzumtm/PYwEBxf7/9++FC2y+fNm4rVIU0rZfRJWeVfrw/IieTHwsVJpaCmFm6enp/O9//2PmzJmEh4fj5+dX6LiPPvqIiRMnouRK/gohRGXgqNHQq04ddmS/Z43R60lKT+dyUlKBmQTlEZmvZFPKGmyfJBCEMIPC1uZd+MKDfOi2li+XbUG5kIChZXWUGlljLiUl8eymTXSvVYuZHTvS2N3dYrE+GhCAm07Hi1u2kG4wcCY+nvv//Zdf+/engZubxeKo6BRF4ZfTp3l3715u55ox0tHHh/917079EkpRktLTeWfPnjz7VMdiUMVlJZomPzGAscN6mD5wIWzE1atXefLJJ1mzZo3ZP7AvWLCAnj17kpycXOSYY8eOsWnTJrPGIYQQppIzA7awRoo6tZofQ0ONvQlyxue8V/V1ciLAwwPIagptSjlNFnNIWYPtkwSCEBaiUqmYNKo/Pp4uzPjmX9h5GaVmNdTBPmTosqaPbbtyhX4rVvBUYCATgoNxMfPKDDnu9fPDVatlzMaNJGdkcPn2be5ftYpfQkNp4eVlkRgqsiu3bzNxxw625Jo9oNNoeLNtW54KDERdzIyB6ORk4lNTmX/0KNG5P6xcu43qXBxaOw0fvTSc+3oGm/EnEKJi+/PPP3n11VfRltCD5fr160yYMIH9+/cD0LJlSz799FPq1KlTpvO9+OKLxd6fnp7O22+/zezZs1m1quzL8gohhKUVNgM2R0X61j+nrKGixCPKTnogCGFho+/twhcTH0Znp0F99TbK2ggczsWjVWX9OWYoCl+Hh9Pjzz/548wZDBaaOtujdm1+GzAAt+ykxc2UFB747z9255qqX9UoisLSs2fpu2JFnuRB6+rVWXvffYxp3rzE5EH3pUvps2IFy86dy3unlyPOHk78MH20JA9ElTdnzhzWrVtH165dixyTlpZGv379SEtLIzw8nOPHj1OtWjV69+5NUlKSSeN55513eOmll3B1dTXpcYUQwpxyZhLkv1W0D+uRCQmcio013qKLmQ0mKh6ZgSCEFQzq2hIvt2qM/eAX4hL1ZBy9jvp8HM3vbUF4aiIAN/R6Jmzfzk+nTvFup0608vY2e1xtqlfnz4EDeWTtWq4lJ5OYns6ja9eyoFcv+tWrZ/bzVyTXk5OZvHMnay9eNO7TqtW81ro1Y1u0wE5dfP716u3bbLx4seg1me3UfDzxIbo0b2jKsIWwSTt27MDOrvi3JD/88ANhYWEsX77cOHbOnDnUrl2bL7/8kokTJwIwZMgQwvKtdJLjt99+o1OnTsWeZ+fOnSQnJxMSEkJkZGTZfxghhBDFkrIG2yYJBCGspFOLBqyY+zxPvfsD5y/HYLidxqnfDzLg3jac8VRzLiEegIM3bnDvP//wcJMmTG7bFq9c9WvmEODhwYqBAxm5Zg2RiYmkZmYyZuNGPu7WjRGNGpn13BXFPxERvLVrF7G5pgG28PTkk+7daebpWWB8WmYmZ+PjCb95k/Bbtzh44wYHc63OUBT/WuZPCglhC0pKHgAsW7aMevXq0aBBA+M+X19fAgMDWbZsmTGB8Pfff5crlr/++ovY2FjGjh1LYmJWQnfs2LH06dOHBx54oFzHFkKIiq64XgrmImUNtkUSCEJYkV9NL5Z/OI7xH/7K9iNnAVi/8iDtmvtx3/1t+frUCZLS01GAX0+fZlVkJK+1bs2opk1L/Aa8POq6uLB80CAeXbuW47dukakovLJtG3GpqYxp3txs57W2WykpTNm1i39yfetop1LxYqtWvNSqFVq1mvjUVI7HxhJ+8ybHb90i/NYtTsfFkW4wWC9wIaqAsLAwmjRpUmC/v78/GzZsMNl55syZY/zvyMhIFi9ezIIFC4ocn56eTkauxqp6vd5ksQghhKUV1UvhenIyI9euNdt5d1y5QmRCAs729ng7OFSovg0iL0kgCGFlbs6OfDftCWZ+s5Kf/svq0r8/PJKoKzf5fMJwViVc44+zWcmF+LQ0pu3Zw+LTp5nZsSNdatY0W1zVHR35Y8AAntywgb3XrgHwzt69xKWl8VpwcKVbanBtVBSTdu7kRq43/85arbHPwbhNmwi/dYuLJq61FkKUTkxMDG3bti2w39XVleTkZPR6PY6OjqU61tatW1myZAkA06dP5/7772fo0KF5xmzevJnvvvsOgBdeeIFnn32WoKCgAseaNWsWM2bMKLD/dMRFHEwwY8xgMHDqfFS5jyPkWpqKXEfTsaVr6WLmGQn5l47UqdX82KEL3jpdqR5vS9eyIgtoUHLJskqRxY2LpNfrcXJyIjk5udRvSqzt1PmoUv0fL8rGUtf1t7X7mPb1P6SlZ32bZadRM+XJgbTs0JBpe/YQdvNmnvGD/fyY2r49tZydzRaTPiODsZs2seHSJeO+J5o25d1OnYptIFgaFeH3NT41lbd27+av8+dNdkwVUJon1g1DhxqXTTKlinBdKyO5ruY3evRofvjhh0KXcbS3t6d///78888/efY/9thj/PLLL1Z7rS5sBoKXl5fJ4pHfO9ORa2kach1Nx5aupaIoNPrpJ1ItWNqwKCQEP1fXUs1GsKVraetkBoIQFcjDoe0J9K/JuDmLuXwjjoxMAzO+WcmA8Ob89Px9rL56mTkHDnAre1rZP5GRrL90iReDgni2eXMcSlFHXFaOdnZ806cPr27bxvLsD9k/nDxJXFoan3bvjtaMpRTmkJCWxons0oMCSyuWg7NWS9caPkQcuMDZk5dRehX/Iuao0eBWyqy6EAK8vb2NPQlyS0hIwMnJyWqJfq1WW+Lyk0IIYetUKhUeOp1FV0zIabYoTRYrFkkgCFHBBDWuwz//G8/LHy9h2+EzAKzeFc6R05f45NUH2Dp8OB8dOsSPJ09iUBT0GRl8ePAgv585wzsdOtC3bl2Tlxdo1Wo+69EDd52O706cAOCv8+dJSE3l65AQHM2QuCgvRVG4mpzM8Vu3OJbd3PD4rVtcKOQDyN3ycXQktF49+tevz+2oWKbOX8GthGRULvbFPm5RSAitqleXF0IhyiAoKIiTJ08W2B8REUHLli2tEJEQQlQtlk4g5NBnZrIqIoIAT0+8s0vDpEeC9VS8d/1CCDxdq/H9tCf4vyUb+XzJJgwGhas34xn59iLGj+jJ9If78EiTJkzbs4fd0dEAXEhM5MkNG+hduzYzOnakgZubSWNSq1TM7NgRD52O/x0+DMCmy5d5ZM0avu/b16rfpmcYDFmrINy6xfHsZEH4rVt5VlEwlcZubvSvX5/+9erRytublNR03l30L7+u3WccozWAGhXphRQyOGo0kjwQ4i4MGzaM5557jsjISPz8/AC4du0aJ06cYPbs2dYNTgghqgDPfH1dtGq1xZpI5++RILMSrEcSCEJUUBqNmgkj+9KtVSNe+d8SLt+IQ1EUvvhjM1sPnWHuS8P5Y8AA/omI4N19+7ianRHedPky21es4JnmzXm5VSuqmXBqrUql4tXWrXHX6Zi2J6vh477r1xnx33/8EhpKDQs8iSelpxtLEMJv3SL85k1OxcWVqyavjrMzl4ppjti2enVj0qBhrsTM4dMXmfDJEiKu3OlN0bBOdT579UG8a3oU6GAMkjEX4m6NHj2aL774gkmTJvHLL7+gVquZPHky/v7+jBs3ztrhCSFEpeeR78uiD7t2JcjLK8++GL0eVCq8HRyITEgwliGYmiz9aD2SQBCigmsf6MeqT1/krfkr+HfHUQDCzl7m3lfn8dJDvRk7rCd969bl87Awvjp2jDSDgXSDgflHj7Ls3DnebteOoQ0amLSs4anAQNx1OiZs20amonAiNpb7V63i1/79qefiYpJzKIpCdHYJQu5kQWQZShDqODvT3NOTlIwMtly5UuS4/MkDe7WarjVr0r9+ffrVrYtPvhcnfWoanyzewDd/b8dguDPL4PF7OvLWk/fgqMsqYZAXNSFKZ+LEiaxbt46oqKwO2sHBwQDs3bsXe/usvyd7e3vWrVvHhAkTCAwMRKVS0aJFCzZu3IizGRvJCiGEyJJ/BkJDN7cCzaBzb7vpdDhqNOjN1HgxMiHhzn/fTsItOVnee1mArMJQDFmFQeSoCNdVURT+2HCQdxetJDH5zjfbzRvUYu5Lwwn0r0lEQgIz9u5l/cWLeR7bwceHdzt2pHm+LHF5bbh4kWc3bTJ+++/j6Mgv/fvTtJQrC+Rc1wyDgfMJCYTn6lUQfusWN1NSSnUcO5WKJh4eNPf0pLmnJ4HZNweNhln79xv7NhTHRaslpG5dBtSrR6/atXGxL7yPwc6wc7w5bzkXom8Z93m7VePDl4YT0q5pqeI1t4rw+1oZyXUVpWHq9w7ye2c6ci1NQ66j6djatZx78CCfHTli3N4xYgT1S/jiKDo52Tgj05wzEkDKGixFZiAIYSNUKhUP9m1Lt1YNeXP+CrYcPA1A+PkrDH51Hk8O7sLLD4fwfd++bLh4kel79hi/rd977Rr3/PMPjwUEMLFNmwJT0O5Wn7p1WRwayuj160lMT+eaXs/wVav4sV8/2taoUehjbucqQdh5IYpL4Uc4GRtb6hIEF62WwOxEQXMvL5p7etLY3R2dRmMcE5uSwseHDpWYOPBxcmJAvXr0r1ePTr6+2Oc6Rn6xCcnM+XE1v63bn2f/oK4tmPHsELzd5RtQIYQQQlRO0cnJpOd7rxabkoJOoyn2A7uvk5PFPtBLWYNlSAJBCBtTq7o73097gqUbDzJz0b8k3k4h02Dgm7+28/fWI0x5aiBDugfRrVYtFoaH839HjpCckYFBUfjx5En+johgUps2PNKkCRoTLMHY0deXpffcw6Nr1xKTkkJ8WhoPr1nDNyEhNPXwuDOjIHt2QURCQiGtBQtXu1q1rBkF2YmC5p6e1HV2LrQc42JiImuiolgZGcn+69eLPGYTd3f6ZycNgry9UZdQ2pGZaWDx2r18/Ms64hL1xv01PFx4d+x99O8UWMqfRgghhBDC9kQnJ9N96dICpQj3rlxZ4b71z13WANJ7yhwkgSCEDVKpVDzQpy09ghszfeE/rN4VDsD12ERe/vh3fl2zl6lPD+KFoCCGN2zIe/v389f58wDEpaby5q5d/HLqFO926kR7H59yx9PUw4O5Xbvy5IYNAOgzMnh07dpSP16jUtHY3d2YJMgpQ/DIV2uXm6IoHL91izVRUayJiiL81q0ixwJMadeO/vXqlWl1ir3hEUxfuJITEVfz7B8Z2p7JTwzAzdk2SpuEEEIIIe5WfGpqkX0MKtq3/vlLJCpagqMykASCEDbMx8uVBZMfZcvB07yz8B/jagC7j0Vw76vzGNqzFa8+0o95PXsyKiCAqXv2cDz7g/axW7e4f9UqhjVsyJR27Qo0CixKcno6J2Jj8zQ3PHHrFimlLEFw1mqNCQKvTOgT0IjG7u442JX8dJRhMLD32jVj0qC4lRNyrL3vPgI9PYu8P3dtXo6oa7f49Z/dbNwenmd/M/+azHjmXjo09y/xvEIIIYQQwrr0mZkcuXGDeFdXmY1gIpJAEKIS6NmmCav/72W+WbGdz5dsIiUtHUVRWL75MP9uP8rjAzsx/oFefNenD7+cOsW3x4+TlJEBwJ/nzvFfZCSvtm7N04GBefoA3NDrCb91i2M3bxoTBufj40tdgpBDo1Ixr1cvWnh6Us/FxVg2cOp8FAHe3sU+Vp+RwZbLl1kTFcW6ixeJK2RpxMLO93G3bgxv2LDY1SeKmpIHgLsBjYMGVUom7i6OvP5oKCND26PRlL/sQwghhBCiqiluVQY1YDDTeXNmJejUan4MDaWhm5skEspBEghCVBI6rR3jH+jF/b2C+eTXDSzdeBBFUUjLyGTR3zv4ZctBUnrXIaOQx+ozM5m1fz+z9u+nuacn1R0dOX7rFtf1+kJGF6RRqWjk5mZsaujn4sInhw9zLHu2Q6aicOj6dQbVr1+q5SRvpaSw/uJF1kRFseXy5VLPbgDoWbs2c7t2pVa1aoXer8/I4FJSEvuvX+efiIiilxayU6PR2fFYSHtefaQv7i7yQiOEEEIIcbd8nZzYNmJEgZmfAP87dIh/L1ww6/lTDQYeWr3amEjwdnCQWQl3QRIIQlQytaq7M/el4Yy5rytzflzDxv2nANAbMinNx/CSeglUs7MzLpOYkzBo4u6OY74ShF516vDS1q38GxkJwFfh4cSlpTGnSxfsCmneGJXdBHH1hQvsu34dQxErzAa4u9PU05O1UVHoM+6kQ6rZ2TGtQwfua9CAS0lJnMhu2Ljj6lU2X75MuqHsee1v3h5FSBMpVxBCCCGEMIWiVmXwL0OPqvLKSSSA9Ei4G5JAEKKSCqjvy7dTn2D3sfN88usGdl+4fFfH6eLrS7saNYwrIdTPVYJQHJ1Gw/yePZlsb8+vp7OWnPz9zBniUlOZ17MnOo2GM4mJ/HPoEGsuXOBEbGyhx1EB7X186F+vHv3q1mXVhQt8cOBAgXG3MzKYtHMnk3buvKufszC1q7ub7FhCCCGEELaouNIDR40Gt3IuDx6dnIy1CkT1mZmsioggwNMT7+zm3TIroXiSQBCikuvUogG/z2rAsv3hvHx0b5kfH5mYyKimTUtdfpCbRq3mwy5d8NDpmH/0KABroqJo9NNPuKnTUMdsJd6tMwZN4eUGTdzdaerhQUpGBv935Ajv7ttX5viFEEIIIcTdK670oLwftovtR2Uh0/bmfX+cu8QhhyQV7pAEghBVRIuGteBo2R935fZtxm7eTLCXFy+2aoWfq6vxvtI8meozMggupFFiWlIUTkomutRo9E4NC33s6bg4TsfFlT3ofDQG4FoSSvRtVLEpkJSOyqBg5+5ASq+65T6+EEIIIURlVlTpQXkVt0QkwKKQEON7zxi9HlQqvB0ciExIKLBko6nkLnHIIaUOd1TaBML169eZMGEC+/fvB6Bly5Z8+umn1KlTx8qRCWGbDt+8WeCJWqtWM7tzZzx0Opy1Wvzd3FABYTExfHfiBNuvXi3yePap0SiAferVIhMI5ZZpQLMuElVK1gtTzvyJ2tXdGRnant7dmjN0/WqzTckTQgghhBB3z8/VlQAPDwDjv9aQU+pQ29kZZ3v7Kt2AsVImENLS0ujXrx9NmjQhPDwclUrFU089Re/evTl06BDOzs7WDlEIiyuufk2rUlHrZiZRpKF4OhTy6MKlGwy8vmNHmWNRZ97GznAbADvDbdSZyRg0ZngC1qhBq4GUTNRqFT1bN+GxezrSq00T43KM5pqSJ4QQQgghzKO497Xmkr/UQatSMbtLF+O2h05nTC7kxFgZ30tWygTCDz/8QFhYGMuXL8cuuzP8nDlzqF27Nl9++SUTJ060coRCWF5p6teuxsTz3aZ9/HH6DDdc1OBib5ZY7NOuoaBChYKCCvu0a6Q4mme1g2Z+vjzUMYhB3VpSw8OlwP3mmpInhBBCCCHMI//72shLV8G1mtnKGgqTrijFfpFmB4xp0QJnrRYUhaSMDON/o1IV2JeUkYEdkAGleoyrVouTVmtMXDR0c7PIe9pKmUBYtmwZ9erVo0GDBsZ9vr6+BAYGsmzZMkkgiCqrpA/LNb3deOuBvryp9OF01DV+2R3GX1cucNP97p4qtGkx2KdFF9yfHgPkLNOo4JByAU3m7QLj0ux9Sbcv2D+hLD577SGrTnkTQgghhBCml+d9bWwiuBb8osiaMoAFx45Z7HwOGg3bLdCnoVImEMLCwmjSpEmB/f7+/mzYsMEKEQlhW1QqFQH1fZlZ35dHY2Pps2LFXR1HbUhBl3oZFTnpgpwuBIrxv1SA2pCKLvVKnvsUIMPOveSTpGdmlSkIIYQQQgibYu4lIquSlMxM4lNTJYFwN2JiYmjbtm2B/a6uriQnJ6PX63F0dCxwf3p6OhkZGcZtvV5v1jiFqOxSHeqQqXHEJfEIKiUDlXHWQV5ZyQQl+39VGFR2JLq0IkPrVeSxHzB4EtqsIe613Xlg4zrTBy+EEEIIIczKnEtECvOolAmEuzVr1ixmzJhRYP/piIs4OJS+sZw1GQwGTp2PsnYYlU5Vvq4xqano1GpSDYa7enyG1os49244J4WhTb9pnHlQGAVI13qR5NwSRV18/4UBHRrjV82ZmGR9kfHp1GpiomOyprVVIVX599WcbO26BjSoZ+0QhBBCiBKZqh+VNRorVkWVMoHg7e1NYmLBDwwJCQk4OTkVOvsAYMqUKUyaNMm4rdfr8fLyool/3SIfU9GcOh8lbxrNoCpf1wBgR/3axKemEqPX8/i6daSVMZmgqO1JdGmLo/48TvqzRY7TOzZC79ggq0lMCfzq1CTAwyNPfPlV1cx1Vf59NSe5rkIIIUTFVdhshsiEhGIbKy4KCSEtM5OXt20r8/vbqqpSJhCCgoI4efJkgf0RERG0bNmyyMdptVq0Wq05QxPCJuVkhgM8PNj5wAOci4/nYmIik3fuJEMpvCyhAJUKg1qLAoXOQlAAg1pbquRB/po4WUlBCCGEEELkf09YUo+FVtWr4+vkRHtfX2PiIUavZ9T69aTKTIZCVcoEwrBhw3juueeIjIzEz88PgGvXrnHixAlmz55t3eCEsHHGJ+aaNelVpw7n4uJISk833h+b/eRbTavl5a1b82RzdalXjf+dk0jInVDQpUaT6pD3G16dRsOPffvinWsWUFWdWSCEEEIIIUqvtD0WciceAjw82JHvMbaQVHCwUNPJSplAGD16NF988QWTJk3il19+Qa1WM3nyZPz9/Rk3bpy1wxOi0ijpm//2Pj7G2QqRsTf4ddsaIGedBTXJjvVx1F9AwYAKBW1GLGObNqJ9rXo429vj7eAgyQIhhBBCCHHX7mamav7HFJZUgKzEAioV3g4OxOj1JKWnE5uaSnxqKlq1moS0tKzZtYpCUkYGzlotKEqh+5IyMrAja/nH3PuKeoyrVouTVouHToezvT0N3dws8p65UiYQ7O3tWbduHRMmTCAwMBCVSkWLFi3YuHEjzs7O1g5PiCoj92yFP8MuGfe38G3A3MEvk3QzhWqeDkz851OOXzsPQKBzOv3r17dWyEIIIYQQQhRQWCIiwMOj0P+uzCplAgHAx8eHxYsXWzsMIUS2TWf3owLGdLqfsV1GYKfWcOpmFHXca/DjIzP5atcyvtm9nE1n9jOsZYi1wxVCCCGEEELkU2kTCEKIimVYUAhPdhhMmzrNCtyn1djxQreH6OIXRHzKbStEJ4QQQgghhCiJJBCEEBbRu1G7EscUllwQQgghhBBCVAxqawcghBBCCCGEEEKIik8SCEIIIYQQQgghhCiRJBCEEEIIIYQQQghRIkkgCCGEEEIIIYQQokSSQBBCCCGEEEIIIUSJJIEghBBCCCGEEEKIEskyjsVQFAUAvV5v5UhKLyUlxabitRVyXc1Drqt5yHU1D1u8rg4ODqhUKmuHUaWY+r2DLf7eVVRyLU1DrqPpyLU0HbmWplPSewdJIBQjJSUFAC8vLytHIoQQQpRdcnIyjo6O1g6jSpH3DkIIIWxZSe8dVEpOqlwUYDAYiIuLs5lvcPR6PV5eXty8eVPeMJqQXFfzkOtqHnJdzcNWr6utvH5VJqZ872Crv3cVkVxL05DraDpyLU1HrqVpyQyEclCr1Xh6elo7jDJzdHSUPx4zkOtqHnJdzUOuq3nIdRUlMcd7B/m9Mx25lqYh19F05FqajlxLy5AmikIIIYQQQgghhCiRJBCEEEIIIYQQQghRIkkgVCJ2dnZMnz4dOzupTDElua7mIdfVPOS6modcV2EN8ntnOnItTUOuo+nItTQduZaWJU0UhRBCCIWjQ2QAABCASURBVCGEEEIIUSKZgSCEEEIIIYQQQogSSQJBCCGEEEIIIYQQJZIEghB3wWAw8OGHH6LT6fj++++tHY4QAFy9epUBAwaUe+15IYQQVYe8dpiOXEtRFUgCoZKKjY3lo48+ol27djRv3pxmzZoRGhrK9u3brR2azYuKiiIkJIRff/2VtLQ0a4djc65fv86jjz5KQEAAAQEBjBgxgkuXLlk7LJv3559/0rlzZ86dO2ftUCqNw4cP88wzz9CsWTNatmxJYGAgL730Ejdu3LB2aKKSk+fJsouMjMTZ2Zng4OACt7i4OOO49PR0pk6dStOmTWnRogVdunSp0u+NSvvaUZbr9umnnxIYGEhQUBBt2rRhxYoVZoi84inttfTz8yv093T9+vUFxv7yyy+0atWKoKAgWrRowcKFC80VfoVR2tfepKQkXnjhBQICAggMDCQ0NJTw8PACx5O/eTNQRKU0e/ZsxcvLSzl69KiiKIqSkZGhvPzyy4parVbWrFlj5ehs20svvaT8+OOPyqZNmxRA+e6776wdks1ITU1VgoKClBEjRijp6elKRkaGMmrUKKVRo0ZKYmKitcOzaR06dFBOnz6tPPHEE4o8tZtGQECAMmzYMCUpKUlRFEW5dOmSEhAQoDRu3FhJTk62cnSispLnybsTERGh9OzZs8Rxzz33nNK4cWPl+vXriqIoysKFCxVHR0fl0KFD5g2wgirta0dpr1vO+8+zZ88qiqIoa9euVezs7JRVq1aZ7WeoKEp7LevXr1+q4/3666+Kvb29smfPHkVRFOXIkSOKk5OTsmDBAlOEW2GV9rV3wIABSteuXZXbt28riqIob7/9tuLt7a1cunQpz/Hkb9705F1mJTV79mxlypQpefbp9XpFq9Uq9957r5WiqhzS09MVRVEkgXAXvv76awVQzp07Z9x39epVRa1WKx9++KEVI7N9Ob+XkkAwnYCAAOXMmTN59n3zzTcKoCxdutRKUYnKTp4n705pEggnT55UVCqVsmjRojz7AwMDlYEDB5oxuoqrNK8dpb1usbGxipOTkzJ16tQ84wYOHKgEBgaaOPKKp7Svw6VJIGRmZip16tRRHn/88Tz7n3/+ecXT01NJSUkpV6wVWWlee9euXasAyoYNG4xjUlNTFQ8PD+X555837pO/efOQEoZKauLEicyYMSPPPgcHBzw8PIiNjbVSVJWDrDF795YtW0a9evVo0KCBcZ+vry+BgYEsW7bMipHZPvm9NL2wsDAaNWqUZ1+tWrUA5HlUmI08T5rP8uXLURSF3r1759kfEhLC2rVrSUpKslJk1lOa147SXrfVq1eTnJxc6Ljjx49z8uRJ0wVeAZnydXjv3r1cunSp0Gt569YtNm3aZLJzVTSlee1dtmwZWq2Wbt26GcfY29vTtWvXPM+T8jdvHpJAqKQ0Gg0ajSbPvtjYWGJiYujVq5d1ghJVXlhYGP7+/gX2+/v7c/ToUStEJETR7O3tC+w7ffo0KpWKHj16WCEiURXI8+Tdu3btGo899hgdOnSgSZMmPPLII3muWVhYGGq1mnr16uV5nL+/PxkZGRw/ftzSIduE0l63sLAw4/7843LfL+CNN96gS5cuNGnShNDQUP7+++8891fla1ma196wsDBq1apVYKy/vz/Xrl3j+vXrxnHyN296kkCoQr755htq1KjBhAkTrB2KqKJiYmJwcXEpsN/V1ZXk5GT0er0VohKidDIzM1m0aBFPP/00TZo0sXY4opKS58m7o9FosLOzY8KECezdu5f9+/ej1Wrp2LEj+/btA7KurZOTU4EvWFxdXQG4efOmxeO2BaW9bjExMQAFfn/l+uZVo0YN2rRpw/bt2wkPD+e+++7jvvvu44svvjCOkWt5R2GvvcU9T0Le30n5mzc9SSDYiPXr16NSqUq8FTW7IDw8nA8++IBff/0VLy8vywZfgZX3ugohqo53330XrVbLp59+au1QhBD51K1bl6NHj9K2bVsg6wPCggULqFatGm+99ZaVoxPijr179/Lwww+jVqvRarWMHz+egQMH8tZbb5GSkmLt8Cocee2teKRo1kZ06dKFEydOlDjOycmpwL6oqCgGDx7MwoUL5YNwPuW5rqLsvL29SUxMLLA/ISEBJycnHB0drRCVECX77rvvWLJkCZs3b6ZatWrWDkdUYvI8aTqOjo60bNmS3bt3A1nXNjk5mczMzDzfSCYkJADIFyxFKO118/b2BiAxMTHPtZTrW7KOHTuyatUqwsPDadu2bZ5rmVtVu5ZFvfZ6e3tz5cqVAuML+52Uv3nTkwSCjXBycqJp06ZlftzFixfp168fH374IcOGDTNDZLbtbq+ruDtBQUGFNlGKiIigZcuWVohIiJL99NNPfPzxx2zcuJEaNWpYOxxRycnz5N2Jj4/H0dGxQE20RqMhMzMTyLq2v/76Kxc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