{
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    "> **This is a saved, working copy.** Sliders here are frozen at their\n",
    "> starting value — there's no marimo runtime in plain Jupyter to drive them.\n",
    "> For the live, drag-the-sliders version of this lecture, see\n",
    "> [Week 5 lecture — interactive](https://math4120.pages.dev/wasm/week05_lecture.html).\n"
   ]
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     "shell.execute_reply": "2026-11-13T23:25:50.882486Z"
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   "outputs": [],
   "source": [
    "from IPython.display import Markdown, HTML\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Hbol",
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    "# Week 5: Second-order linear ODEs — roots and oscillations\n",
    "## Computation lecture\n",
    "\n",
    "**MATH4120 — Mathematical Modelling and Programming** Lancaster University, 2026–27\n",
    "\n",
    "---\n",
    "\n",
    "On Monday and Tuesday you solved equations like $$p\\,y'' + q\\,y' + r\\,y = 0$$ by trying $y = e^{mt}$ and solving the **auxiliary equation** $pm^2 + qm + r = 0$ (equation (4.13) in the notes). Its roots decide everything: two real roots, one repeated root, or a complex pair.\n",
    "\n",
    "Today we do the same mathematics on the computer, step by step:\n",
    "\n",
    "1. a short Python warm-up (picking numbers out of an array);\n",
    "2. the auxiliary equation in one line of code;\n",
    "3. the damped oscillator (4.17): watch the roots move and the solution change with them;\n",
    "4. how the computer solves the ODE without any formula;\n",
    "5. a pendulum, where there is no formula at all.\n",
    "\n",
    "The notes write the variable as $x$. Here it is always time, so we call it $t$. Nothing else changes."
   ]
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
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   "id": "vblA",
   "metadata": {
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   "source": [
    "## 1. Warm-up: counting from 0\n",
    "\n",
    "In last week's poll we asked what `N[1:3]` gives for `N = np.array([100, 135, 182, 246])`. Only 23% chose the right answer; almost half chose `[135, 182, 246]`. Two rules explain it.\n",
    "\n",
    "**Rule 1. Python counts positions from 0.**\n",
    "\n",
    "| value | 100 | 135 | 182 | 246 |\n",
    "|---|---|---|---|---|\n",
    "| position | 0 | 1 | 2 | 3 |\n",
    "| from the end | −4 | −3 | −2 | −1 |\n",
    "\n",
    "**Predict** what each line prints before you run the cell."
   ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100\n",
      "135\n",
      "246\n"
     ]
    }
   ],
   "source": [
    "N = np.array([100, 135, 182, 246])\n",
    "print(N[0])\n",
    "print(N[1])\n",
    "print(N[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "lEQa",
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    "**Rule 2. A slice `N[start:stop]` includes `start` but stops *before* `stop`.** So `N[1:3]` is positions 1 and 2, and the number of values you get is `stop − start`. Leave out `start` to begin at the beginning; leave out `stop` to go to the end.\n",
    "\n",
    "**Predict** again, then run."
   ]
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   "id": "PKri",
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     "output_type": "stream",
     "text": [
      "[135 182]\n",
      "[100 135]\n",
      "[182 246]\n"
     ]
    }
   ],
   "source": [
    "print(N[1:3])\n",
    "print(N[:2])\n",
    "print(N[2:])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Xref",
   "metadata": {
    "marimo": {
     "config": {
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   "source": [
    "<details><summary><b>Why stop *before*? (optional)</b></summary>\n",
    "\n",
    "\n",
    "It makes the pieces fit together: `N[:2]` and `N[2:]` split the array at position 2 with nothing missing and nothing repeated. And `N[0:len(N)]` is the whole array.\n",
    "\n",
    "</details>\n",
    "\n",
    "<details><summary><b>Do all languages count from 0? (optional)</b></summary>\n",
    "\n",
    "\n",
    "No. It is a convention, and languages split into two camps.\n",
    "\n",
    "| counts from 1 | counts from 0 |\n",
    "|---|---|\n",
    "| Julia, R, Fortran, Excel rows and columns | Python, C, C++, Java, JavaScript, Rust |\n",
    "\n",
    "- **Counting from 1** is common in languages built for maths and statistics, because it matches how we write $x_1, x_2, \\dots, x_n$ on paper. In Julia or R, `N[1]` is 100 and `N[1:3]` is `[100, 135, 182]`: the slice **includes both ends**.\n",
    "- **Counting from 0** comes from C, where the position is the distance from the start of the array in the computer's memory: the first value is 0 steps along. Most general-purpose languages followed C.\n",
    "- **Negative positions** differ too: in Python `N[-1]` is the last value, in R `N[-1]` means \"everything except the first\", and Julia writes the last value as `N[end]`.\n",
    "\n",
    "If you move between languages, these are the first things to check. Edsger Dijkstra's one-page note *Why numbering should start at zero* (1982, EWD831) argues for Python's choice: count from 0 and stop *before* the end.\n",
    "\n",
    "</details>\n",
    "\n",
    "We will use exactly these today: `roots[0]` and `roots[1]` are the two roots of an auxiliary equation, and in Section 4 a loop reads `y_values[-1]`, the latest value in a list."
   ]
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   "source": [
    "## 2. The auxiliary equation in one line\n",
    "\n",
    "Trying $y = e^{mt}$ in $p\\,y'' + q\\,y' + r\\,y = 0$ gave $$pm^2 + qm + r = 0. \\tag{4.13}$$ NumPy's `np.roots` finds the roots of a polynomial. You give it the coefficients **in a list, highest power first**: `[p, q, r]`.\n",
    "\n",
    "First row of the summary table in Section 4.8: $y'' - 5y' + 6y = 0$, so $p = 1$, $q = -5$, $r = 6$."
   ]
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     "text": [
      "[3. 2.]\n",
      "first root:  3.0000000000000004\n",
      "second root: 1.9999999999999998\n"
     ]
    }
   ],
   "source": [
    "roots_example = np.roots([1, -5, 6])\n",
    "print(roots_example)\n",
    "print(\"first root: \", roots_example[0])\n",
    "print(\"second root:\", roots_example[1])"
   ]
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   "source": [
    "Roots 3 and 2, so the complementary function (CF) is $c_1e^{3t} + c_2e^{2t}$, as in the table. (`3.0000000000000004` is 3: the computer keeps about 16 digits, and the last one is rounding.) Now all five rows of the table at once. **Look out for two things:** Python writes the imaginary unit $i$ as `j`, and in $y'' + 9y = 0$ there is no $y'$ term, so its coefficient $q$ is a **0** that you must type in."
   ]
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     "text": [
      "y'' - 5y' + 6y = 0  roots: [3. 2.]\n",
      "y'' + 6y' + 9y = 0  roots: [-3.+3.7252903e-08j -3.-3.7252903e-08j]\n",
      "y'' - 2y' + 5y = 0  roots: [1.+2.j 1.-2.j]\n",
      "y''      + 9y = 0   roots: [-0.+3.j  0.-3.j]\n",
      "y''      - 9y = 0   roots: [-3.  3.]\n"
     ]
    }
   ],
   "source": [
    "print(\"y'' - 5y' + 6y = 0  roots:\", np.roots([1, -5, 6]))\n",
    "print(\"y'' + 6y' + 9y = 0  roots:\", np.roots([1, 6, 9]))\n",
    "print(\"y'' - 2y' + 5y = 0  roots:\", np.roots([1, -2, 5]))\n",
    "print(\"y''      + 9y = 0   roots:\", np.roots([1, 0, 9]))\n",
    "print(\"y''      - 9y = 0   roots:\", np.roots([1, 0, -9]))"
   ]
  },
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   "id": "emfo",
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   "source": [
    "The repeated root may come out as something like `-3.+3.7e-08j`: `e-08` means $\\times 10^{-8}$, so the imaginary part is $0.000000037$, rounding error again. Read it as $-3$ twice.\n",
    "\n",
    "`1.+2.j` means $1 + 2i$, so $\\alpha = 1$, $\\beta = 2$ and the CF is $e^{t}(c_1\\cos 2t + c_2\\sin 2t)$. `0.+3.j` is $3i$: pure oscillation, $c_1\\cos 3t + c_2\\sin 3t$.\n",
    "\n",
    "**Question.** What would `np.roots([1, 9])` solve? Why is it the wrong thing for $y'' + 9y = 0$?\n",
    "\n",
    "<details><summary><b>Answer</b></summary>\n",
    "\n",
    "\n",
    "`[1, 9]` means $m + 9 = 0$, a polynomial of degree 1, with the single root $-9$. Dropping the 0 for the missing $y'$ term turns the quadratic into a different equation, and Python can't tell you've done it.\n",
    "\n",
    "</details>"
   ]
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   "source": [
    "## 3. The damped oscillator\n",
    "\n",
    "A mass on a spring, with friction proportional to its speed (Section 4.9): $$y'' + 2k\\,y' + \\omega^2 y = 0. \\tag{4.17}$$ Here $y$ is how far the mass is from its rest position, $\\omega$ is set by the spring and $k \\ge 0$ by the friction. The auxiliary equation is $m^2 + 2km + \\omega^2 = 0$, so in code the coefficients are `[1, 2*k, omega**2]`.\n",
    "\n",
    "We fix $\\omega = 2$, pull the mass to $y = 1$ and release it from rest: $y(0) = 1$, $y'(0) = 0$. Every plot in this section starts this way.\n",
    "\n",
    "### 3.1 The formula, case by case\n",
    "\n",
    "Each case from the notes becomes one branch of an `if`. The roots decide which case we are in, and so the shape of the motion; the two starting conditions only fix the constants $c_1$, $c_2$."
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    "def damped_solution(t, k, omega):\n",
    "    \"\"\"Solution of y'' + 2k y' + omega^2 y = 0 with y(0) = 1, y'(0) = 0.\"\"\"\n",
    "    if k < omega:\n",
    "        # Case 3: complex roots -k ± ip  (underdamped)\n",
    "        p = np.sqrt(omega**2 - k**2)\n",
    "        c1 = 1\n",
    "        c2 = k / p\n",
    "        return np.exp(-k * t) * (c1 * np.cos(p * t) + c2 * np.sin(p * t))\n",
    "    elif k == omega:\n",
    "        # Case 2: one repeated root -k  (critically damped)\n",
    "        c1 = 1\n",
    "        c2 = k\n",
    "        return (c1 + c2 * t) * np.exp(-k * t)\n",
    "    else:\n",
    "        # Case 1: two real roots m1, m2  (overdamped)\n",
    "        m1 = -k + np.sqrt(k**2 - omega**2)\n",
    "        m2 = -k - np.sqrt(k**2 - omega**2)\n",
    "        c1 = -m2 / (m1 - m2)\n",
    "        c2 = m1 / (m1 - m2)\n",
    "        return c1 * np.exp(m1 * t) + c2 * np.exp(m2 * t)"
   ]
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   "source": [
    "<details><summary><b>Where $c_1$ and $c_2$ come from</b></summary>\n",
    "\n",
    "\n",
    "- **Underdamped**, $y = e^{-kt}(c_1\\cos pt + c_2\\sin pt)$: $y(0) = c_1 = 1$. Differentiating, $y'(0) = -kc_1 + pc_2 = 0$, so $c_2 = k/p$.\n",
    "- **Critical**, $y = (c_1 + c_2t)e^{-kt}$: $y(0) = c_1 = 1$ and $y'(0) = c_2 - kc_1 = 0$, so $c_2 = k$.\n",
    "- **Overdamped**, $y = c_1e^{m_1t} + c_2e^{m_2t}$: $c_1 + c_2 = 1$ and $m_1c_1 + m_2c_2 = 0$. Solve these two equations for $c_1$, $c_2$. Since $m_1 > m_2$, $c_2$ comes out negative.\n",
    "\n",
    "</details>\n",
    "\n",
    "### 3.2 Watch it move\n",
    "\n",
    "Picture the mass hanging on its spring inside a tank of oil. The oil is the friction: the thicker the oil, the bigger $k$. Drag the time slider to run the motion; the dot on the graph follows the mass.\n",
    "\n",
    "$k = 0$ (an empty tank) means no friction at all. That never quite happens: even in a vacuum the spring itself loses a little energy every time it flexes. It is an idealisation, like a frictionless surface.\n",
    "\n",
    "**Before you try it:** what will the mass do in very thin oil? In something as thick as honey?"
   ]
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    "k_anim_slider = type('_W', (), {'value': 0.5})()  # static default\n",
    "t_anim_slider = type('_W', (), {'value': 0.0})()  # static default"
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",
      "text/plain": [
       "<Figure size 1100x460 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_k = k_anim_slider.value\n",
    "_t_now = t_anim_slider.value\n",
    "_y_now = damped_solution(_t_now, _k, 2.0)\n",
    "\n",
    "_fig_a, (_axm, _axg) = plt.subplots(1, 2, figsize=(11, 4.6), sharey=True,\n",
    "                                    gridspec_kw={\"width_ratios\": [1, 2.4]})\n",
    "\n",
    "# left: ceiling, tank of oil, spring and mass\n",
    "_axm.fill_between([-0.8, 0.8], 2.0, 2.15, color=\"#555\")\n",
    "_axm.add_patch(plt.Rectangle((-0.6, -1.6), 1.2, 3.1, facecolor=\"#b9770e\",\n",
    "                             alpha=0.2 * _k, edgecolor=\"none\"))\n",
    "_axm.add_patch(plt.Rectangle((-0.6, -1.6), 1.2, 3.1, facecolor=\"none\",\n",
    "                             edgecolor=\"#7e5109\", linewidth=1.5))\n",
    "if _k == 0:\n",
    "    _axm.text(0, -1.45, \"no oil: no friction\\n(an idealisation)\", ha=\"center\",\n",
    "              va=\"bottom\", fontsize=9, color=\"#7e5109\")\n",
    "elif _k == 4:\n",
    "    _axm.text(0, -1.45, \"very thick oil\", ha=\"center\", va=\"bottom\",\n",
    "              fontsize=9, color=\"white\")\n",
    "_top_of_mass = _y_now + 0.2\n",
    "_n_zig = 10\n",
    "_zig_y = np.linspace(2.0, _top_of_mass, 2 * _n_zig + 2)\n",
    "_zig_x = np.zeros_like(_zig_y)\n",
    "_zig_x[1:-1] = 0.15 * np.array([1, -1] * _n_zig)\n",
    "_axm.plot(_zig_x, _zig_y, color=\"#333\", linewidth=1.6)\n",
    "_axm.add_patch(plt.Rectangle((-0.25, _y_now - 0.2), 0.5, 0.4,\n",
    "                             facecolor=\"#1a5276\", edgecolor=\"black\", zorder=5))\n",
    "_axm.axhline(0, color=\"grey\", linestyle=\"--\", linewidth=1)\n",
    "_axm.text(0.62, 0.05, \"rest\", fontsize=10, color=\"grey\", va=\"bottom\")\n",
    "_axm.set_xlim(-0.9, 0.9)\n",
    "_axm.set_ylim(-1.7, 2.2)\n",
    "_axm.set_xticks([])\n",
    "_axm.set_ylabel(r\"$y$\", fontsize=12)\n",
    "_axm.set_title(\"the mass\", fontsize=12)\n",
    "\n",
    "# right: the graph of y(t), drawn up to now\n",
    "_t_all = np.linspace(0, 8, 600)\n",
    "_y_all = damped_solution(_t_all, _k, 2.0)\n",
    "_past = _t_all <= _t_now\n",
    "_axg.plot(_t_all, _y_all, color=\"lightgrey\", linewidth=1.5)\n",
    "_axg.plot(_t_all[_past], _y_all[_past], color=\"#1a5276\", linewidth=2.5)\n",
    "_axg.plot(_t_now, _y_now, \"o\", color=\"#1a5276\", markersize=10, zorder=5)\n",
    "_axg.axhline(_y_now, color=\"#1a5276\", linestyle=\":\", linewidth=1)\n",
    "_axg.axhline(0, color=\"grey\", linestyle=\"--\", linewidth=1)\n",
    "_axg.set_xlim(0, 8)\n",
    "_axg.set_xlabel(r\"$t$\", fontsize=12)\n",
    "_axg.set_title(rf\"$y'' + 2k\\,y' + 4y = 0$,   $k = {_k:g}$,   $t = {_t_now:.2f}$\",\n",
    "               fontsize=12)\n",
    "_axg.grid(True, alpha=0.3)\n",
    "_fig_a.tight_layout()\n",
    "_fig_a;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "qnkX",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "### 3.3 Roots and solution together\n",
    "\n",
    "**Before you move the slider:**\n",
    "\n",
    "1. With no friction ($k = 0$) the equation is $y'' + \\omega^2 y = 0$, **simple harmonic motion** (SHM, equation (4.14)). Where are the two roots, and what does the solution look like?\n",
    "2. As $k$ grows the roots $-k \\pm \\sqrt{k^2 - \\omega^2}$ move. What happens to them at $k = \\omega = 2$?\n",
    "3. Which $k$ do you think brings the mass back to rest fastest?\n",
    "4. Past $k = 2$ there are two real roots but only one curve. How does each root show up in the solution?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "TqIu",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:51.522036Z",
     "iopub.status.busy": "2026-11-13T23:25:51.521843Z",
     "iopub.status.idle": "2026-11-13T23:25:51.524975Z",
     "shell.execute_reply": "2026-11-13T23:25:51.524210Z"
    }
   },
   "outputs": [],
   "source": [
    "k_slider = type('_W', (), {'value': 0.5})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "Vxnm",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:51.526555Z",
     "iopub.status.busy": "2026-11-13T23:25:51.526398Z",
     "iopub.status.idle": "2026-11-13T23:25:51.868042Z",
     "shell.execute_reply": "2026-11-13T23:25:51.867164Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x460 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_k = k_slider.value\n",
    "_omega = 2.0\n",
    "_roots = np.roots([1, 2 * _k, _omega**2])\n",
    "\n",
    "if _k == 0:\n",
    "    _case = r\"no friction (SHM): roots $\\pm 2i$, oscillation forever\"\n",
    "    _col = \"#7d3c98\"\n",
    "elif _k < _omega:\n",
    "    _case = \"underdamped: complex roots, decaying oscillation\"\n",
    "    _col = \"#1a5276\"\n",
    "elif _k == _omega:\n",
    "    _case = \"critically damped: one repeated root\"\n",
    "    _col = \"#1e8449\"\n",
    "else:\n",
    "    _case = \"overdamped: two real roots, no oscillation\"\n",
    "    _col = \"#922b21\"\n",
    "_slow_col = \"#e67e22\"\n",
    "_fast_col = \"#17a589\"\n",
    "\n",
    "_fig, (_axr, _axy) = plt.subplots(1, 2, figsize=(12, 4.6),\n",
    "                                  gridspec_kw={\"width_ratios\": [1, 1.25]})\n",
    "\n",
    "# left: the path the roots take as k goes from 0 to 4 (faint), and where they are now\n",
    "_ks = np.linspace(0, 4, 400)\n",
    "_path = np.array([np.roots([1, 2 * _kk, _omega**2]) for _kk in _ks])\n",
    "_axr.plot(_path.real, _path.imag, \".\", color=\"#b0b8c0\", markersize=3, zorder=3)\n",
    "_axr.axhline(0, color=\"grey\", linewidth=0.8, zorder=1)\n",
    "_axr.axvline(0, color=\"grey\", linewidth=0.8, zorder=1)\n",
    "if _k > _omega:\n",
    "    # two real roots: colour each one to match its piece of the solution\n",
    "    _m1 = -_k + np.sqrt(_k**2 - _omega**2)\n",
    "    _m2 = -_k - np.sqrt(_k**2 - _omega**2)\n",
    "    _axr.plot(_m1, 0, \"o\", color=_slow_col, markersize=12, zorder=5)\n",
    "    _axr.plot(_m2, 0, \"o\", color=_fast_col, markersize=12, zorder=5)\n",
    "    _axr.text(_m1, 0.35, \"$m_1$\", ha=\"center\", fontsize=12, color=_slow_col)\n",
    "    _axr.text(_m2, 0.35, \"$m_2$\", ha=\"center\", fontsize=12, color=_fast_col)\n",
    "else:\n",
    "    _axr.plot(_roots.real, _roots.imag, \"o\", color=_col, markersize=12, zorder=5)\n",
    "_axr.set_xlim(-8, 1)\n",
    "_axr.set_ylim(-2.6, 2.6)\n",
    "_axr.set_aspect(\"equal\")\n",
    "_axr.set_xlabel(\"real part\", fontsize=12)\n",
    "_axr.set_ylabel(\"imaginary part\", fontsize=12)\n",
    "_axr.set_title(\"roots of $m^2 + 2km + \\\\omega^2 = 0$\", fontsize=12)\n",
    "_axr.grid(True, alpha=0.3)\n",
    "if _k > _omega:\n",
    "    # name each real root and colour it like its dot\n",
    "    _axr.text(-7.7, 2.3, f\"m1 = {_m1:.4g}\", fontsize=11, va=\"top\", color=_slow_col,\n",
    "              family=\"monospace\")\n",
    "    _axr.text(-7.7, 1.85, f\"m2 = {_m2:.4g}\", fontsize=11, va=\"top\", color=_fast_col,\n",
    "              family=\"monospace\")\n",
    "else:\n",
    "    _root_text = \"\\n\".join(f\"{np.round(_rr, 4) + 0.0:.4g}\" for _rr in _roots)\n",
    "    _axr.text(-7.7, 2.3, _root_text, fontsize=11, va=\"top\", color=_col,\n",
    "              family=\"monospace\")\n",
    "\n",
    "# right: the solution from the formula\n",
    "_t = np.linspace(0, 8, 600)\n",
    "_y = damped_solution(_t, _k, _omega)\n",
    "if 0 < _k < _omega:\n",
    "    # envelope: amplitude A = sqrt(c1^2 + c2^2), as in (4.16), times e^{-kt}\n",
    "    _p = np.sqrt(_omega**2 - _k**2)\n",
    "    _A = np.sqrt(1 + (_k / _p)**2)\n",
    "    _axy.plot(_t, _A * np.exp(-_k * _t), \":\", color=\"grey\", linewidth=1.3,\n",
    "              label=rf\"envelope $\\pm A e^{{-kt}}$,  $A = {_A:.3f}$\")\n",
    "    _axy.plot(_t, -_A * np.exp(-_k * _t), \":\", color=\"grey\", linewidth=1.3)\n",
    "elif _k == _omega:\n",
    "    # the two pieces of (c1 + c2 t) e^{-kt}, with c1 = 1, c2 = k\n",
    "    _axy.plot(_t, np.exp(-_k * _t), \"--\", color=_slow_col, linewidth=1.6,\n",
    "              label=r\"$c_1 e^{-kt}$\")\n",
    "    _axy.plot(_t, _k * _t * np.exp(-_k * _t), \"--\", color=_fast_col,\n",
    "              linewidth=1.6, label=r\"$c_2\\,t\\,e^{-kt}$\")\n",
    "elif _k > _omega:\n",
    "    # the two pieces c1 e^{m1 t} and c2 e^{m2 t}, one per root\n",
    "    _c1 = -_m2 / (_m1 - _m2)\n",
    "    _c2 = _m1 / (_m1 - _m2)\n",
    "    _axy.plot(_t, _c1 * np.exp(_m1 * _t), \"--\", color=_slow_col, linewidth=1.6, zorder=4,\n",
    "              label=rf\"$c_1 e^{{m_1 t}}$,  $m_1 = {_m1:.2f}$\")\n",
    "    _axy.plot(_t, _c2 * np.exp(_m2 * _t), \"--\", color=_fast_col, linewidth=1.6, zorder=4,\n",
    "              label=rf\"$c_2 e^{{m_2 t}}$,  $m_2 = {_m2:.2f}$\")\n",
    "_axy.plot(_t, _y, color=_col, linewidth=2.5, label=r\"$y(t)$\")\n",
    "_axy.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_axy.set_xlim(0, 8)\n",
    "_axy.set_ylim(-1.1, 1.7)\n",
    "_axy.set_xlabel(r\"$t$\", fontsize=12)\n",
    "_axy.set_ylabel(r\"$y$\", fontsize=12)\n",
    "_axy.set_title(rf\"$k = {_k:g}$: {_case}\", fontsize=12, color=_col)\n",
    "_axy.legend(fontsize=10, loc=\"upper right\")\n",
    "_axy.grid(True, alpha=0.3)\n",
    "_fig.tight_layout()\n",
    "_fig;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "DnEU",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
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     "md_prefix": "r"
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   "source": [
    "<details><summary><b>What to notice (open after you have tried the slider)</b></summary>\n",
    "\n",
    "\n",
    "1. At $k = 0$ the roots are $\\pm 2i$, on the imaginary axis: no decay, the mass oscillates forever with period $2\\pi/\\omega = \\pi$. Now try $k = 0.001$: over these 8 seconds it loses less than 1% of its swing, and you cannot tell it apart from $k = 0$. At $k = 0.01$ it loses under a tenth; at $k = 0.05$ the decay starts to show. That is why SHM is a useful model even though no real oscillator is frictionless: when the friction is small, it doesn't matter over a few swings.\n",
    "2. As $k$ grows the roots move left along a circle of radius $\\omega = 2$. The **real part** $-k$ sets how fast the oscillation dies out: the envelope is $\\pm A e^{-kt}$, where $A = \\sqrt{c_1^2 + c_2^2}$ is the amplitude, as in (4.16). With $c_1 = 1$ and $c_2 = k/p$, $A$ is bigger than 1: only slightly for small $k$, but a lot as $k$ gets close to 2. The curve stays inside the envelope and touches it once every half swing. The **imaginary part** $p = \\sqrt{\\omega^2 - k^2}$ sets how fast it oscillates. At $k = 2$ the two roots meet on the real axis (the repeated root, critical damping) and then split apart along it: no imaginary part, no oscillation.\n",
    "3. At $k = 2$ the formula is $(c_1 + c_2t)e^{-kt}$, drawn as its two dashed pieces $c_1e^{-kt}$ and $c_2te^{-kt}$.\n",
    "4. Past $k = 2$ the solution is $c_1e^{m_1t} + c_2e^{m_2t}$: one decaying exponential per root, drawn dashed in the colour of its root. The root far to the left, $m_2$, gives a piece that dies out almost at once. The root near 0, $m_1$, gives a piece that decays slowly and does almost all the work, so it decides how long the return takes. As $k$ grows, $m_1$ creeps towards 0: more friction makes the mass *slower* to return.\n",
    "5. So for a mass released from rest, critical damping is the fastest return to rest that never overshoots, as in the key idea in Section 4.9.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ulZA",
   "metadata": {
    "marimo": {
     "config": {
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   "source": [
    "## 4. Solving the ODE without a formula\n",
    "\n",
    "The formula in 3.1 needed three cases and some algebra for $c_1$ and $c_2$. This section shows a second route that needs no formula at all. It is a first look at Chapter 6 of the notes, so we go one small step at a time.\n",
    "\n",
    "### 4.1 Recap: one number and its slope (Week 4)\n",
    "\n",
    "In Week 4 the ODEs were first order, $y' = f(t, y)$. The ODE tells you the slope $y'$ at every point. To trace a solution we stood at a point, took a tiny step of time $h$ along that slope, and looked again: $$y_\\text{new} = y + h \\times \\text{slope}.$$ This works because the ODE hands us the slope $y'$ directly.\n",
    "\n",
    "### 4.2 The problem with $y''$\n",
    "\n",
    "Rearrange (4.17) to get $y''$ on its own: $$y'' = -2k\\,y' - \\omega^2 y.$$ This gives $y''$, not $y'$. To step $y$ forward we need its slope $y'$, and the equation doesn't tell us what it is.\n",
    "\n",
    "The way out is to keep track of $y'$ as a **second number**. Call it $v = y'$, the velocity of the mass. Now think of two numbers that both change in time:\n",
    "\n",
    "- the position $y$ changes at the rate $v$, because that is what velocity means: $\\quad y' = v$\n",
    "- the velocity $v$ changes at the rate $y''$, the acceleration, and the ODE tells us that: $\\quad v' = -2k\\,v - \\omega^2 y$\n",
    "\n",
    "These are two **first-order** ODEs, each giving the slope of one number. Both right-hand sides use only $y$ and $v$, so if we know where the mass is and how fast it is moving right now, we know both slopes, and Week 4's rule works on each number.\n",
    "\n",
    "This also explains the two starting conditions: we need a starting value for each number, $y(0) = 1$ and $v(0) = y'(0) = 0$. Turning one second-order ODE into two first-order ones works for any order; Section 6.3 of the notes does it in general."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ecfG",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
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   },
   "source": [
    "### 4.3 One step, by hand\n",
    "\n",
    "One step of time $h$ is three lines of arithmetic:\n",
    "\n",
    "1. acceleration $a = -2k\\,v - \\omega^2 y$, using the current $y$ and $v$\n",
    "2. new velocity $=$ velocity $+\\ h \\times a$\n",
    "3. new position $=$ position $+\\ h \\times$ new velocity\n",
    "\n",
    "Line 3 uses the velocity we have just updated in line 2.\n",
    "\n",
    "<details><summary><b>Why use the *new* velocity in line 3? (optional)</b></summary>\n",
    "\n",
    "\n",
    "Using the old velocity also works when $h$ is tiny, but for oscillations it slowly pumps energy in, so the swings grow. Moving with the freshly updated velocity avoids that. Chapter 6 comes back to how the choice of update rule affects accuracy.\n",
    "\n",
    "</details>\n",
    "\n",
    "Take $k = 0.5$, $\\omega = 2$, a step of $h = 0.1$, and start released from rest at $y = 1$, $v = 0$.\n",
    "\n",
    "**Before you run the next cell:** do the first step on paper. What are $a$, the new $v$ and the new $y$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "Pvdt",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:51.870106Z",
     "iopub.status.busy": "2026-11-13T23:25:51.869908Z",
     "iopub.status.idle": "2026-11-13T23:25:51.873842Z",
     "shell.execute_reply": "2026-11-13T23:25:51.872999Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 1:  a = -4.0   new v = -0.4   new y = 0.96\n"
     ]
    }
   ],
   "source": [
    "k_demo = 0.5\n",
    "omega_demo = 2.0\n",
    "h_demo = 0.1\n",
    "\n",
    "# start: released from rest at y = 1\n",
    "y_0 = 1.0\n",
    "v_0 = 0.0\n",
    "\n",
    "# step 1\n",
    "a_0 = -2 * k_demo * v_0 - omega_demo**2 * y_0\n",
    "v_1 = v_0 + h_demo * a_0\n",
    "y_1 = y_0 + h_demo * v_1\n",
    "print(\"step 1:  a =\", round(a_0, 4), \"  new v =\", round(v_1, 4), \"  new y =\", round(y_1, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ZBYS",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
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   },
   "source": [
    "<details><summary><b>Step 1 written out</b></summary>\n",
    "\n",
    "\n",
    "- $a = -2(0.5)(0) - 4(1) = -4$. The spring pulls the mass back towards rest; there is no friction yet because the mass isn't moving.\n",
    "- new $v = 0 + 0.1 \\times (-4) = -0.4$. The mass starts moving down, towards rest.\n",
    "- new $y = 1 + 0.1 \\times (-0.4) = 0.96$. It has moved a little.\n",
    "\n",
    "</details>\n",
    "\n",
    "Step 2 is the same three lines, starting from the numbers step 1 gave us."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "aLJB",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:51.875596Z",
     "iopub.status.busy": "2026-11-13T23:25:51.875433Z",
     "iopub.status.idle": "2026-11-13T23:25:51.878802Z",
     "shell.execute_reply": "2026-11-13T23:25:51.877990Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 2:  a = -3.44   new v = -0.744   new y = 0.8856\n"
     ]
    }
   ],
   "source": [
    "# step 2: the same three lines, starting from y_1 and v_1\n",
    "a_1 = -2 * k_demo * v_1 - omega_demo**2 * y_1\n",
    "v_2 = v_1 + h_demo * a_1\n",
    "y_2 = y_1 + h_demo * v_2\n",
    "print(\"step 2:  a =\", round(a_1, 4), \"  new v =\", round(v_2, 4), \"  new y =\", round(y_2, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nHfw",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**Question:** the acceleration went from $-4$ in step 1 to $-3.44$ in step 2. Why is it smaller? There are two reasons.\n",
    "\n",
    "<details><summary><b>Answer</b></summary>\n",
    "\n",
    "\n",
    "The spring is stretched a little less ($y = 0.96$ instead of 1), so it pulls less: $-4 \\times 0.96 = -3.84$. And the mass is now moving, so friction acts against the motion: $-2 \\times 0.5 \\times (-0.4) = +0.4$. Together, $-3.84 + 0.4 = -3.44$.\n",
    "\n",
    "</details>\n",
    "\n",
    "### 4.4 Many steps\n",
    "\n",
    "Each dot below is one step: the same three lines, using the numbers from the dot before. The faint curves are the formula from 3.1, for the position and for the velocity. Start with $h = 0.1$ and move the time slider: each notch is one more step, and both numbers move together.\n",
    "\n",
    "**Then change $h$.** Before you do: if you halve the step, what happens to the gap between the dots and the formula? What do you expect for a big step like $h = 0.8$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "xXTn",
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2026-11-13T23:25:51.882408Z"
    }
   },
   "outputs": [],
   "source": [
    "h_demo_slider = type('_W', (), {'value': 0.1})()  # static default\n",
    "t_demo_slider = type('_W', (), {'value': 0.2})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "AjVT",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:51.884481Z",
     "iopub.status.busy": "2026-11-13T23:25:51.884350Z",
     "iopub.status.idle": "2026-11-13T23:25:52.134740Z",
     "shell.execute_reply": "2026-11-13T23:25:52.133809Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_h = h_demo_slider.value\n",
    "_n = int(t_demo_slider.value / _h + 1e-9)    # whole steps that fit before t\n",
    "_ys = [1.0]\n",
    "_vs = [0.0]\n",
    "for _i in range(_n):\n",
    "    _a = -2 * k_demo * _vs[-1] - omega_demo**2 * _ys[-1]\n",
    "    _vs.append(_vs[-1] + _h * _a)\n",
    "    _ys.append(_ys[-1] + _h * _vs[-1])\n",
    "_ts = _h * np.arange(_n + 1)\n",
    "_gap = np.max(np.abs(np.array(_ys) - damped_solution(_ts, k_demo, omega_demo)))\n",
    "_dot = 4 if _h >= 0.05 else 0    # with many tiny steps, draw a line instead of dots\n",
    "\n",
    "# formula for y from 3.1, and its derivative for v\n",
    "_t = np.linspace(0, 8, 600)\n",
    "_p = np.sqrt(omega_demo**2 - k_demo**2)\n",
    "_v_formula = -(omega_demo**2 / _p) * np.exp(-k_demo * _t) * np.sin(_p * _t)\n",
    "\n",
    "_fig4, (_axp, _axv) = plt.subplots(2, 1, figsize=(10, 6), sharex=True)\n",
    "_axp.plot(_t, damped_solution(_t, k_demo, omega_demo), color=\"lightgrey\", linewidth=3,\n",
    "          label=\"formula\")\n",
    "_axp.plot(_ts, _ys, \"o-\", color=\"#1a5276\", markersize=_dot, linewidth=1,\n",
    "          label=\"steps\")\n",
    "_axp.plot(_ts[-1], _ys[-1], \"o\", color=\"#1a5276\", markersize=10)\n",
    "_axp.set_ylabel(r\"position $y$\", fontsize=12)\n",
    "_axp.set_ylim(-1.1, 1.1)\n",
    "_axp.legend(fontsize=10, loc=\"upper right\")\n",
    "_axp.text(0.4, -1.0, f\"largest gap from the formula so far: {_gap:.4f}\", fontsize=11,\n",
    "          color=\"#1a5276\", bbox={\"facecolor\": \"white\", \"edgecolor\": \"none\", \"alpha\": 0.8})\n",
    "_axp.set_title(rf\"$h = {_h:g}$:  {_n} steps to reach $t = {_ts[-1]:.2f}$,   $y = {_ys[-1]:.4f}$,   $v = {_vs[-1]:.4f}$\",\n",
    "               fontsize=12)\n",
    "\n",
    "_axv.plot(_t, _v_formula, color=\"lightgrey\", linewidth=3)\n",
    "_axv.plot(_ts, _vs, \"o-\", color=\"#922b21\", markersize=_dot, linewidth=1)\n",
    "_axv.plot(_ts[-1], _vs[-1], \"o\", color=\"#922b21\", markersize=10)\n",
    "_axv.set_ylabel(r\"velocity $v$\", fontsize=12)\n",
    "_axv.set_ylim(-1.8, 1.8)\n",
    "_axv.set_xlabel(r\"$t$\", fontsize=12)\n",
    "_axv.set_xlim(0, 8)\n",
    "for _axx in (_axp, _axv):\n",
    "    _axx.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "    _axx.grid(True, alpha=0.3)\n",
    "_fig4.tight_layout()\n",
    "_fig4;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "pHFh",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>What to notice</b></summary>\n",
    "\n",
    "\n",
    "- Where the velocity is most negative, the position is falling fastest. Where the velocity crosses 0, the position is at a peak or a trough.\n",
    "- The dots stay close to the formula but not exactly on it. Run to $t = 8$ and read the largest gap: about $0.2$ for $h = 0.2$, $0.1$ for $h = 0.1$, $0.05$ for $h = 0.05$. Halving the step halves the gap, as in Week 4, but it also doubles the number of steps.\n",
    "- At $h = 0.5$ the dots still swing and die out, but they are well off the formula (a gap of about 0.6). At $h = 0.8$ the steps run away from the formula and the swings grow instead of dying out: the step is too big for this oscillation. Chapter 6 explains when this happens.\n",
    "\n",
    "</details>\n",
    "\n",
    "**Both numbers in one picture (optional).** The two plots above share a time axis. Put time, position and velocity on three axes, and each moment becomes one point $(t, y, v)$: the solution is one curve in 3D.\n",
    "\n",
    "Now the arrows from Week 4 come back. At every point $(t, y, v)$ the ODE tells us which way to go: in a small step $h$, $t$ goes up by $h$, $y$ by about $h \\times v$ and $v$ by about $h \\times a$, where $a = -2kv - \\omega^2 y$. So each blue arrow points in the direction $(1, v, a)$, and the orange one is the arrow at the solution's current point. Following two arrows is following one arrow in 3D, and the solution curve runs along the field: at every point of the curve, the arrow there points along it.\n",
    "\n",
    "Pick a view and move the time slider. **Before you look side on at position against time:** the arrows there ought to give the slope of $y$. What will you see at a single point? **And before you choose \"end on\":** if you look along the time axis, so that time disappears, what shape will the curve make?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "NCOB",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.136475Z",
     "iopub.status.busy": "2026-11-13T23:25:52.136330Z",
     "iopub.status.idle": "2026-11-13T23:25:52.139395Z",
     "shell.execute_reply": "2026-11-13T23:25:52.138635Z"
    }
   },
   "outputs": [],
   "source": [
    "view_3d_dropdown = type('_W', (), {'value': 'tilted (turn it with the slider)'})()  # static default\n",
    "turn_3d_slider = type('_W', (), {'value': -60})()  # static default\n",
    "t_3d_slider = type('_W', (), {'value': 2.0})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "aqbW",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.141005Z",
     "iopub.status.busy": "2026-11-13T23:25:52.140847Z",
     "iopub.status.idle": "2026-11-13T23:25:52.379861Z",
     "shell.execute_reply": "2026-11-13T23:25:52.379032Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ki4uVv/3tb8Med+GFFyon35ft3r1buf7665WUlBRFo9EoRqNROf/888dVGIxWwHV1dSmA8ulPf3pKP9fJ3G63olarz0io84svvqgsX75c0Wq1ik6nU7Zs2aKUlZUNeUxHR4cCKB/5yEeiX/N4PMof/vAHZfXq1UpsbKwiSZKSnZ2t3HbbbUpfX9+w9ykuLlZiY2OVmJgYBVC0Wm307+ett96KPu7Xv/61Aijbt2+ftp/xwQcfVBITExW1Wq3k5eUp99xzj/KNb3xD0ev1SiAQmLb3Gc1kz7GihD9zt912m5Kdna3odDolNjZWWb16tfLYY4+d8n1FASd8EEmKMs3jPcIZ5fV6CYVCp2X1JoTn2401vKrVatHr9dH/dzqdaDSaUWMUgsFgdK7QSFwuFyqValj0wVTddddd3Hvvvfztb38bd7THbBEIBEYM4IVwjEMoFBp1JazP5xvy+zkVWZZxu93o9foh7/n000/z0Y9+lLKysmnP2YoMQ8fGxp6RANaxPpOKouByuYZ9ziNkWUaW5TFXP7rd7lG3dDIajdH5jzfffDNNTU0cOHBgkj/J6ILBYPQYfT4foVBo3CvIp+v9J3uOI8+fyApTv9+P3+8/Y58pQTgdRAEnnHVsNhu5ubksWLCAvXv3igv6JHzxi1/E7/fzl7/85UwfygeSLMukpKTw+OOPs2XLljN9OIIgzEKigBPOKj6fj89+9rNs27aNAwcOiJT2SfJ6vWg0GpGzdRq5XK7T1pMuCMLcJ1ahCmeNyy+/HLPZzOHDh3nhhRdE8TYFBoNBFG+nmSjeBEEYi+iBE84abrcbjUYz5UBeQRAEQTjTRAEnCIIgCIIwx4ghVEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHCMKOEEQBEEQhDlGFHCCIAiCIAhzjCjgBEEQBEEQ5hhRwAmCIAiCIMwxooATBEEQBEGYY0QBJwiCIAiCMMeIAk4QBEEQBGGOEQWcIAiCIAjCHKM50wcgzG6yLNPf3w9AbGwsarUatVqNJElIknSGj04QBEEQzk6igBNGpCgKoVCIYDBIRUUF8fHxZGZmoigKKpUKlUqFRqOJFnSRok4QBEEQhNNPFHDCMLIsEwgEkGUZAEmSogWboigoioIsy3i93mjRJkkSGo0GjUaDSqVCrVajUqlEUScIgiAIp4Eo4IQoRVHw+XwEAoFRC7DBQ6dqtRpFUYD3iz6/3x/9fqToG1zUiaFXQRAEQZg6UcAJwPsFWFVVFaFQiMWLF4+r0BpczEVEeukURcHv9+Pz+aKFW2S49eSiThAEQRCE8RMF3FlOURSCwSDBYDDamzbVXrKRnh8p6CLvFRl+jRRxkfl0kfl1oqgTBEEQhNGJAu4sFZnHFpnrFimmTlfhFCnqVCpV9P0j/wYPvQ6ebxfprYsUdYIgCIIghIkC7iwUKZpCoVB0VelM93iN1UsXWSAx+HGDe+nEAglBEAThbCcKuLPIyb1us61na6wFEoOHeUfqpRMLJARBEISziSjgzhKDe92AOdGDNZ4FEpGviWw6QRAE4WwiCrgPuJF63eZyUTPW0GskeFhk0wmCIAgfdKKA+wCLDD3OpV63yRhpgQQMz6ZTFAWbzUZycjI6nU5k0wmCIAhzlijgPoAG90ZF5oydTQXKaEOvgUCAkpIS1q9fTyAQENl0giAIwpwlCrgPmJN73c624m00g3voNBoNWq1WZNMJgiAIc5Yo4D4gBve6fRDmus0EkU0nCIIgzFWigPsAOHnzeVG8TY7IphMEQRDmClHAzWEnb4N1ugqIYDCIx+OJ9uydTU6VTRcIBKKPE9l0giAIwkwRBdwcNRO9bsFgkOrqagYGBnA4HLS1tWE2m4mLi4v+MxqNZ1WBIrLpBEEQhNlAFHBzzEz1uvX09FBeXo7RaCQhIYGkpCSSk5Ox2+3Y7XZaW1txOBxoNJpoMWexWDCbzWi12mk/ntlMZNMJgiAIM00UcHNEZB5We3s7er0es9l8Whr+UChEX18f7e3tFBcXk52dzaFDh5AkiZiYGGJiYkhPT48+1ul0YrfbsdlsdHR04PV6iYmJiRZ0cXFxxMbGnrVDr6fKpgOivXQnx5iIok4QBEEYjSjg5oDB22A1NzeTmpqKxWKZ9vfo6uqitbUVnU7Hpk2bMBgMYz5HrVZjsViwWCxkZ2cD4Pf7owVdd3c3tbW1KIqC2WyOFnRxcXGnfO0PmvEMvfp8PpFNJwiCIIyLKOBmsZnaBsvr9VJRUYHVaiUpKQmDwTDpAkun05GcnExycjIQ/hncbjc2mw273U5jYyNOpxO9Xj9kLl1cXNyQ4uZsMNbQq8imEwRBEMYiCrhZaiY2n1cUhba2NiorK0lJSeH888+noaEh+p7TQZIkYmNjiY2NZd68eUB4cYTD4YjOp2tpaSEQCBAbGztkPl1MTMxZV6CMN5vO5/MRCARISkoS2XSCIAhnIVHAzTIzFcjrdrspLy/H6XSybNkyUlNTp/09RqPRaEhISCAhISH6Na/XGy3oOjo6qK6uRqVSDRt61el0M3acs8FovXT9/f309PQQGxs75HEnr3gVvXSCIAgfTKKAm0VmYvN5RVFoamqipqaGefPmsWLFilmxajQybBspJGVZxuVyRYdeu7u7cbvdGAyGIQVdZDHH2SRSrEmSFN0SDIYukIg8TmTTCYIgfDCJAm4WmKnN551OJ6WlpQQCAVatWkVSUtK0v8d4KIpCeacbvVaiKDlmxMdEet/MZnP0a4FAINpLZ7VaaWxsJBgMDsmms1gsGAyGs6pAEdl0giAIZx9RwJ1hJwfyno7iTZZl6uvrqa+vJzc3l8LCwjO6YGBPg42fv9HCsnkm7tuaP+7nabVakpKSooWnoih4PJ4hc+kqKiqGZdPFxcWh0ZxdH3WRTScIgvDBdna1arPITM11s9lslJaWArBu3bppjx+ZjLU5ccQZNJS0O6nt9VCYbJzU60w0my7Sm+d0OrFYLGft0OupsukGz6c7uagTBEEQZgdRwJ0BM7ENVigUoqamhubmZgoKCsjPz581DbBeo+LqxUn863AXz5b28J3NOdP22mNl0/X39wNQUlKCoihDIkwsFgt6vX7ajmMuENl0giAIc5co4GbQTG2D1dfXR3l5OVqtlg0bNmAymab9PabqykWJPFPaw7uNdjrsPjLiTl/xFMmmi4+Pp6WlhfXr10eLOpFNN5TIphMEQZgbRAE3QyLDpaFQKNr4TXdDFwgEqKqqoqOjg6KiInJzc2dtY2rWa7isOJHny3t5rqyXL27InLH3liQJk8mEyWQadzZdZC6dyKYbPZtupFWvIptOEATh9BAF3Gk2OJD3dPa6dXd3U15ejslkYuPGjcTEjLy6cza5bkkyL1X0satmgI+uTCXBeObiTE7OplMUBZ/PF51L197eTlVVlcimY+xeOlmW8Xq9Qx4nsukEQRCmnyjgTpPRtsGa7obL7/dTUVFBT08PCxcuJDMzc840jskmLRfMj2d3bT8vHu/jk6vTz/QhRUmSNO5sOqPROGQunclkOut6nQZ/ttVqtcimEwRBOM1EAXcazNQ2WB0dHVRUVJCYmDiuzednoxuWJrO7tp9XKqzctDSFGN3snXM2nmy6yFZkIpvu1AskIkWezWaLrhIW2XSCIAjjIwq4aTRTm88HAgEOHz6MzWZjyZIl0QiNuSg3wcCabDMHWxy8Vt3P9eckn+lDmpCJZtMNHnoV2XTh89Xc3Exqamp0R5CxYkxEUScIghB2drUgp1FkG6yjR4+Sl5dHXFzcael183g89PX1kZGRwaZNm87Y/CtfUEaSQKee+lDhjUtTONji4PnyXq5elIRGPXcb6fFk07W3t+P1eqMLJCL/YmNjz9qhV7VaPeq2YCKbThAEYThRwE3RydtgDQwMRFeaTieXy0VZWRlut5usrCwWL148ra8/EdU9bv73zVY25MXxqTVT7/1bnBbDgtQYqrrdvFk/wIUF8Th8QdSSRJxhdn9E3f4Qu2r6uWxBInrNyMXEaNl0g+fS1dbWimw6Tj306vP5RDadIAgCooCbkpM3nz8dDYcsyzQ2NlJXV0dWVhZqtfqM57oZNCp6XH6eK+tlU76F+UmT20khQpIkblqawo92NfFsaS++oMyf3mvnhqUp3Hru7B4e/uVbrexvtqNRS1yxcPx7y+p0OlJSUkhJSQHCRYrL5Ro1my4y9BqZJ3Y2OXmBBIhsOkEQBFHATcJMbYNlt9spKysjFAqxZs0aEhISOHTo0LS/z0TlJBi4eVkKjx/p5nfvtPHTqwvQqKb286/MMpEdb6BlwEunI7xi0eELTsfhnlZXLkpkf7OdbWV9XFaciHqS5+FU2XQDAwM0NzdHs+nUajXBYBCXyyWy6RDZdIIgnH1EATdBM7ENlizL1NXV0dDQQF5eHgUFBbOu1+XmZSm802CnrtfDi8f7prT4oKzDxe/faWNzYTyPHfayv9kOgNMXmq7DPW1WzDORn2Skoc/De012NuVP316zY2XTtbW14fP5OHDgACqVatgOEiKbbng2XeT7IptOEIQPAlHAjdNMbYPV399PWVkZarWa8847j7i4uGl/j+mgVav4ysZMvvdyPY8d7mJdjnnS22G9WmWl3e7j+fI+THo1LQM+YG4UcJIkcePSZH7xRgvPlPawMW/6F68Mfq9INl0gEECSJJYtWyay6UYhsukEQfggEwXcOMxEr1swGKSmpobW1lYKCgrIy8ub9Q3uwrQYrliYyMsVfTz0bjv3Xp43qfPy9fOzAHi7fgBZgZCsEAgpOP2zv4AD2JBn4Z/mLup6PZR0uFg+b+bmKI43m06WZUwm05D5dCKbbvRsusgw60hFnSAIwmwgCrgxzFSvW29vL2VlZRiNRjZs2EBsbOy0v8fp8snVaexrtlPS7uT12gEuKUqY8Gto1BLfuCCLGJ2KVyutuAMyigJ9rsBpOOLpp1FJXLckmYf3tvNMac+MFnAjGSubzmaz0dzcjNPpRKPRDMmlE9l0YZGCLjLPNfK4wQskRDadIAhn2tl1tR6nkwN5T9fm836/n6qqKjo7O1mwYAHZ2dlzrjGI0an54vp53L+zib/u72BVlmlSe5qqVRJfXD+PWJ2afx7sxBNU6DixmGEuuLQ4gcePdnO0zUldr4eC5KmtzJ1OY2XTRYZeRTbd+0ZaIAEim04QhNlFFHAnmYltsAA6Ozs5fvw4FouFTZs2YTTOngZ/MJvNxsDAAHa7HafTGR2Ci42NjZ6Xc3Pi2JRvYU+DjT/v7eA7m3Mm9V6SJHHLmnRUEvx5bwfnpMUSkpVJr+ycSXqNiqsXJ/Gvw108U9oz6XMwUwZn00VEFkgMzqYDotuCRXrrRDbdyNl0sizT3d1NVlbWsKJurt2YCYIw+4kC7oSZ2gbL6/VSUVGB1Wpl0aJFZGRkzMqLeygUora2lqamJvR6PfHx8eh0Orq6ukZs2D+1Momj7U72NNi4qMDOuTlx+EMyTl+IxJiJ9ch9cnU6Vy5MJCl2bq2kvHJRIs+U9vBuo50Ou2/SizrOFL1eP2o2nc1mo76+HpfLJbLpGDmbzufzUVNTQ1paGqFQSGTTCYJwWokCjpnbfL6trY2qqiqSkpLYtGnTGevJCMkKv36rmQ15Fs7Lix/2fa/XyzvvvINWq2X9+vVUVVVhMpmiuwiM1rBvtMTwUrueX7/ZyBfWpvC/7/WxLMPE3ZfnTfgYZ7J463cHSJhgkTkSs17DZcWJPF/ey7ayPr6wYd40HN2ZM1Y2XaRndnA23eD5dGdrNh0Q7XmbSDad6KUTBGGizuoCbqZ63dxuN+Xl5TidTpYuXUpqauq0v8dEHGyxs7Oqj901Vv7fxXmcXxBeeBAMBunt7cXpdLJgwQJyc3NHPB+jNezLbTbq3uigsi/Ai0eb8Xg1lLf6qaz0Rhv32dawP3m0myeOdfPAFfNZmBoz5de7dkkSL1X0saumn4+uTEUlgd0bItWsnZZ9Y0+nul4PNb0eti5MHPUxo2XTDZ5LV1VVNSybzmKxRDerP1uIbDpBEE6ns7aAO3kbrNPV69bU1ERNTQ0ZGRmsWLFiVjRi63ItfGZdJn/d18ZPdjUQCCksTQhRXl4OQEZGBnl5eRN6TY1Gw9PVPi5ckE7z4S4q3VoSTRJ2bxBHUMI1Sxt2jVoiGFL43Z42fnVdIRr11D4DKSYdF8yPZ3dtPy8e76Oiy0VZp4tfXFtI4Sxa2HAyhy/Id1+qR0FhTbaZ5Njx/U4GZ9OlpaUB4b8tp9M5ZD6dyKYLE9l0giBMl7OugDt58/nTdUF0Op2UlZXh9/tZtWpVNNJhtrh5RRpatcQf32nhxztquDzVw0fWF+J0OqN5dxNR2e3m5Yo+AHITDDRaPTj84UZIictgdU7ckIbdZrPR1dWFx+OJNuyRXrqZbNivXZLM2/U26vs8PF3Sw0dXTq13NCQrXLMkid21/bxc0ceitHCv3mwPJTbrNWwujOe1KisvlPfy6bUZk36twUV6xOBsur6+viHZdJEevPj4eJFNx8jZdGLoVRCEk51VBVwoFMLnC6f8D44BmE6RuW4dHR3k5ORQVFQ0Kyd4K4rC2uQQNclOtnca2NlnpnhAT7HWNanXW5gaw3c25/DQO2009XvxhxSCsoxKkqjr87A2J25Iw56VFQ7vjTTsNpuN3t5e6uvrow374DlVp6th16gkvrIxk++8WMdTJd1syIsjJ8EwqddSFIU/vddOnzvAykwTR9qc9J7IspsLocTXn5PMjup+tlf186HlqZj00/e5HS2bLjKH0mq10tHRIbLpmHw2nVggIQhnl7Piyhi58Hm9Xnbt2sXmzZtPywICm82Gz+fDarWydu1a4uPjp/09poPX66W8vBybzcYnNi1m+YCGX7/VzB/eaeHqfA0XZU3uY7Ep30JxipFfvtlKaacLlz8IKJS0O/nYyrQRnzNSw+52u6O9NTMROluQbOTaJck8W9rD799p48Gr5qOaRAM44A1ysNVBnytAdrwBRVFotHoBcHiD03Ksp1OmRc/63DjebbTxSmUfH1p++uZqDs6m6+zsJD09ndTU1FNm050cYXO2ENl0giCc7ANfwA1epBC56E33xX9w5IZarWbJkiWzsnhTFIXW1laqqqpITU1l06ZN6HQ60tNBr1Xz012NPFfjxR/UsXjx5N4j1aTjvivy+U9JD3/Z1447oHC0fXivnqIoBGUF7UkT+yVJIjY2ltjYWDIywsN4oVAIh8MRLeoiG7lPZ8P+sZWp7G2yU9nt5tVKK1cumviQd4JRy4+vms8PX22kZcCLrIAvGEKjUs2JHjiAG5cm826jjReP93HtkmT0mplr+E+VTTdahI3IpgsbKZsuUtBFhltFNp0gfHB8YAu4kbbBOh13oVarlbKysmjkxuHDh2fl3a7L5aK8vBy3283y5cujWV8RFxQkoFFJ3PdqNS83+Ek80M4n14Qz6lqdCnrT+OfFaVQSH1mRyqLUGP70Xjs/u2b+kO8fbXPy8N52zp9vGbVnbjC1Wk18fPyQojjSsEfm0k21YddrVHxxwzx++GoD/zjYxdrsOJJNE19ckWrS8eBV+dy9vZGaHg++oEJAknHM8jlwEUUpMSzNMFHa4eT12n6uWHhm526KbLrxGymbLlLQRa6Fo2XTiQUSgjD3fCALuMg8kVAodNq2wQoGg1RVVdHe3k5RUdGokRtnmizLNDU1UVtbS2ZmJqtWrRp16HFDfjyfXxbD/x1z8/jhTvxBGb1GxT/KZG4M+Fgwf8SnjWrZPBO/v6l42NdNejVtNh87q/v58PLUSe20MFrDHhl+G9ywRxr1U+0xu3yeiUuLEthZ088f32vn9ktzJvU7TTBq+dGV87nntUb2NtkJygrlnZObW3gm3Lg0mdIOJ9vK+risOHFW7YQxkWw6k8k0ZMh9tkXYzISRhl4HZ9MFAoEhN7higYQgzB0fqAJucCDv6dx8vru7m+PHjxMbG8vGjRuJiZl6ftjp4HA4KCsrIxAIsHr1ahITR8/3iliSrOV/lhv4W6XMMyXdnJdnQQF2N3u5JaRMOWYDoCDJQH6SkYY+D8fanazKMk/5NQc37JmZmUC4YY8Mvw0MDNDU1ATAkSNHRg2dvXVtOgdbHRxosfNOo51N+ZZR33MssTo1916ez5f+U0273cd5OVP/GWfKykwTeYkGGq1e3mua/DmYKSNl03m93ujvXmTTvW+82XQOhwO/3096errIphOEWeoDUcDN5ObzFRUV9PT0sHDhQjIzM8/YxexfhzooTIlhVVYcmpN6SGRZpq6ujoaGBvLy8igoKJjQcFKvR+HyhUm8VtnL3kYbOhUMeGXeabRxYUH8lI9dkiS2FCXwcJ+HHdX9Uy7gIjELJ9NoNCQmJkYL10AgwNtvv01WVhYulyu6M8bght1isfCZNan879vtPPxeO8syYjHr1fS4AsRo1RNamWnQqvjTh4oJygpG7dwZzpMkiRuXpvC/b7bwTGkPG/Pi5lSjLUkSRqMRo9E4ajbdbIiwmS1GyqZzOBwMDAyQlJQksukEYZaa8wXcTG2D1dHRQUVFBQkJCWzatAmDYXJRE9Ohzx3isYO9KEBCjJaLixK5pDiRvEQjAwMDlJWVIUkS55133pAsrvEIygqvNPjxyD1o1RKBkII/ADIKz5X1csF8y7Sc3wsL4vnbgU72NdsZ8ASJN07uo9hu9/Hbt9v4xoVZpJrG3n4rctwpKSnR4beRsumCbg95xjhqHUF+u7sWS4yBHXUOvropi0uLEyZ0fFq1ipmq3UKygtUdIOUU52E8NuZb+OfhLup6PZR0uFg+zzQNR3jmjJVNd6YibGark1ezgsimE4TZaM4WcDO5+XwkcmPJkiWkpaWd8YtTjFbii5uy2VVtparbxX+OdfGfY11kGGWK9E6uWJbJ0gUFk+pJUEvwiUV6jjpiONBsR5LAe2L+/bF2J6UdLpZNQ2Nu0qvZkBfHG3UD7K7t54alKad+0gieONLN8S4XP3i5gfu25k14A/mRsun8fj/ZXf18f0cn77R4WBU/gN+v5Z2yenKluFnZsNu9Qe7f2YTdG+LX1xdOefWoRiVx/ZJkHt7bzjOlPSxJj6XT7icoK+Qlnrmbl/Hwh2R21w6QGafnnIzR5z2OlU03UxE2c4XIphOE2WdOXoVmahuskSI3ZgOjVsXVBSlcvSSFpn4Pzx9pZVdVL002iXatmXf3OFnX0silC5JYnWVGo1YRCMn89u0WProynXmW0YscSZJYkKjhhk2FtPR7ea60mxdKOrD5wR9SeLWyb1oKOIAtxYm8UTfAjup+rj8neVK/wy9tzMTmDXGkzXGiiMsnK35qkRLOoMQ/ytxcvyyNp0t6aAoa0GoDWBUNsixHG3atVjukUT+TDXtkaLfD7uPxo93csiZ9yq95aXECjx/t5mibk5J2J/e81khGnJ4/3jx8Ycps8na9jYfeaWNJeiw/yhj/ypvB2XSTibA524hsOkE4s+ZUATdT22CdKnJjtggEAthba1kY6uSqrUX0qRPYWW1lb+MA7zSE/8UbtWwuSsAfVNhZ1ce+xgFuv2w+y+adet5ZdoKBr16Qw3JtF2/06OgLavl/F+dO2/EvSY8hI05Pm81HRbebxWkTbwT1GhW3X5rDT15v4UCLndtfqeferfnkTnI3BYBnSnsp7XBS2e0iMUZLr9OHX4YOl0JhUTFqlTSkYbfZbMMa9sErX2ei50ElhXeU+MbztWwr6+X8fAvzk6a296qsKFy1KIl/H+nitSorMPu3BAM4f76FRw91Ud7porLbzcLUyS8yGivC5uRsOpMpfGPT09NDfHy8yKZj/Nl0YoGEIEzcnCngTu51Ox3F20QiN860rq4ujh8/jtlsZtOmTRiNRuYD5+ZYcPqCvFnXz65qK5VdLp4t6UZRFDRqFT2uAD94sZavXZjDlgXjy/iK0Up8fImJ7Ozsaf0ZJEliS3EC/zjYyY7q/kkVcBCeZ/a9i3P4xZstvNto4/ZXGrjnsjwKJrl5/K1r0tGoJJ4t7aHXFcATVAjK4PbLtNt9ZMcbTplN19nZSU1NDRDOphs8BHe6GvacBAM3L0vh8SPd/G5PGz+9pmDYApfx6nUG+P7L9VxSFI9eo2JfswONSsLpDyEryqR2qpgpOrWKaxYn8Y+DnTxT2sMPLpm+mw4YPcLGarVis9lobGwcFmEjsulENp0gTLfZWZ0MMrjX7XTOdXM4HJSWlhIKhVizZk00kuB0sbr8PLizgR9fU4R6nEMJ/z7cwRvlQRS5jWAohMaQgCOown20km2fWxl9nEmv4arFKVy1OIVfvdHEwRY73U4/bk+AkAIuX4i7X61jV7WVH11deEYb44sL43nscBd7Gmx8bl0GsbrJNXAatcS3LspG+7bEm3UD3PlqA3ddlseCSfS+aNQSt56bzspME796q5V2u4wvKOPwB6np8ZAdP3Lv3skNuyzLuN3uMbPpprthv3lZCu802Knr8/B8eS83TnJuYW2fhz53gH8f6SYv0UBDn4eQJCERLmSnc5/U02HrwkSeLulhf7OD1gHflIfVxxKJsNHpdNTW1nLuueciy/KQCJuRsuksFgtGo/GsK1BENp0gTI9ZXcANXqQAp2eu21QjNybKF5R54kgnD7/bij+k8Ol/lfOPTyw95fN6HD7eqOyi3KogKxIhRYti80W/32n3kT7CBP42mw+rO4BGJaFo1PiCMqAQCCkcbbOjKMAET6kvKPN8eS+LUmPHnCQ+HgkxWtZkm9nXZOet+oEpJf9rVBJfOz8LrVpiZ3U/d21v5M4tuSxJn9wxLp9n4tfXF/Lrt1vZWd1PSIaDLQ4uLhpa3Lv9IWJGKDxVKtW4sumCweC0NexatYqvbMrkey/V8+/D3azPjZvwwg6A83Lj+N7FOfx0dwv1fV58QYWgHC7cHL7grC/gYnVqLl+QyLOlPTxb2sNXz8+a0fc/OcLm5Gy60SJs4uLiRDYdI2fTRR57ckEnhl6Fs9WsLOBG2gbrdPyB9vf3U1ZWhlqtnlTkxkTIisLrNVb+/F4bTVYPISVcN51fMLynzxuQqet1U9HtoqrLxfFOB912L4GgDIqErITPhUYFRq2aZfPMow6Vff2iHPpcAezeIHZvEIc3RI/Lz5FWB5ctTJpUyv4bdQP881AXBclGfn5NwZR78LYUJ7Cvyc6O6qlv3aRWSXx5YyY6tYqXK/q457VGbr80l+XzTPiCMvUuDedP4PXiDBruuDSXdJMOo07iE6szhnz/kf0dvFxp5efXFIxr3t14GvbKykrUavWkG/aFqTFcsTCRlyv6eOjddu69PG9Sfz9rc+L44WW5/GhnM56ATFBW8AbkOTEPDuDaJUm8cLyXN+oH+K9VaSTFnrnC6FTZdJEIG5FNFzZSNh0MXyABiGw64aw16wq4meh1C4VCVFRU0NLSQmFhIXl5eaf1Anm0zcFf9rZS0eXG6QsiK+Hi6/Prs7h17TzabT4qu1xUdruo7HLRYPUQkpXosQaDQcx6NQOKBrUso1erWJRu4vplqVwwPwHdGJERmRYDmZbpjX24pDCBZ0t7qev1sKfBxgXz46f0eiszzSTFaqnr9VDf58HhC2HzBlmdZZ7UkKpKkvjv8zLQqiW2lfVy344mvntxNn/e20FzXyxb7H5yk8bfmEuSxOfXzxvxexqVhD8os7O6n8+uyxjxMad67dEa9sjQ6+CGPdKo+3y+aKM2kk+uTmN/s52Sdiev1w5wSdHkpgQsyzBx79Y87nilgXa7H09Aptflpyhldu4+MlhijJbNBQnsqLbywvE+bj136itzp9NIETYim25kp1ogMVo23eBVr2fT+RLODrOmgFMUBbfbTU9PD6mpqae1W3zfvn0YjUY2bNgQXTl2uuys7uN/dzfhCcj4guGeC71aYlF6LA19Hj76j1Ic3uCQ5+g0KgqT9MSH7KTpA1y6qpj8ean89xPHicfFVYsS2Ly84IxdkDRqiU+tSeMnrzfz6KEu1ufGoVVPvgDWqCQuKUrgyaPd7Kjup8HqpaLLxa+uLyQ/cXILESRJ4tPnpqNTq3jqWDc/fr2ZZRmxNPfBSxVWvrRpemIfLi1O4OmSHnbXDvCpNWlTOg8RI4XO+v3+aC9db28vAwMDyLLMoUOHhsSYRBr2GJ2aL2yYx/07mvjr/g5WZZpIiJlcD1RxSgw/v6aAzz9VRU68gXTz3FldecPSZHbW9PNqpZUPLU+Z9BzLmTJSNp3b7Y7+7mdjhM2ZMt5suq6urmjxK7LphA+SM/4XPziQ1263U1lZSXp6+rT/YQUCASoqKgDIyckhPz9/Qu8hKwr3v1bP1y/IIc44/oZwVab5xBQzBZUEBq2aJekmantctA6E57DNs+hZmBrLwrRYilOMKLZOmhrqyc7OpqioKHph/uOHF1Fy9AgpibozfuFZnxvHgtQYqrrdvFRh5fpzkif1Oj1OP/fvbOLS4gQUReHNuoHoUGRIntoxKidef2OehT0NAxxudRJS4I16G588NwOzfuof/4w4PUszTJR2ONnX7JjyvqGjbQum0+lITk4mOTl8nltbW+nq6mLevHnY7XaamppwuVxDGvZCi4VNeXHsabTz530dfGdzDp5AiFabj6LkifWg5SQYePbWc0ac6zebZVr0nJcbx3uNNl6ttHLTstkZCTQaSZKIjY0lNjZ23Nl0Mx1hM5uMtECis7MTjUaD0WgcNZtucFEnCHPFGS3gTt4Ga/BE1ekUidyI9LZlZWVN6D2CssIPXqzhjdp+tlf0sf2LqzCNo/Hvcvi459V6ZCW8F6ZGpSInwcB9VxbwSkUvBckxLEiJxXJiGymbzUZZ2TEURWHt2rVDIiqAaendmS6RHq7vvVTPU8e6ubQoYVIT2//0XgeH25wcbXcSq1XR5wpEi4SgPPoQ4XgcanXwRt0AAHqNGrsvSECWsHtDvFbVP22N+ZbiBEo7nLxWZZ1SAfdCeS+V3W6+cUE2GvXYn89IjlZGRsaIDXskm25h0M9e2cIbNX0ssQT5Z7kHV0Dm359YPOFibCaLtz5XAKNWNS3veePSZN5rtPF8eS/XLElCN4v+jiZjNkbYzFYnz5ODU2fTDZ5PJ3rphNnsjBZwgUCAYDAY/SOZ7j8Un8/H8ePHsVqtLFy4kNTUVHbt2jWh1wiGZO57rYG36voByErQj6t4K2l38MCOBhzeIIUpMXzvkny2lfVwzZIU4o1aPrbq/flSoVCI2tpampqayM/Pp6BgcttgzbRFabGclxvH3iY7T5f0TGqO0afXplPb56bR6sPllwkpUN3jRquSONLmYH6SYdIN7op5Jm47P4vny3tptHqRgKACQb/MPw91cd2S5FMWSuOxPi8O0141x9qddDr8pJsnvmOHyx/i6ZIeBjxBAiGF72zOnnDBPlLD7vV6CZZ38pfDA/zj2ABmVZB+v5pX3zvG8qzZ2bAfaLbzizdb2VwYz/+MMvdwIopTYqK9pLtrBzgvJ44Oh594o2ZSv6uZ1Gbz8eLxPm5Zk45BO/rnYbRsupmMsJkrxpNNF+kJF9l0wmx2Rgu4yB/I6dgGq729ncrKSpKSkti0aRN6vT46J2K8vAGZB3bU80ZtP7ICWjV8/YKcU7w3vFZj45/HBpAVhQsKEvj6hbkYtCq+tGl4EK7VaqWsrAytVsv69esxm0+9Q8Js8qk16RxocfDC8V6uWJhI2gQbxEyLnoduLOaOVxuo7Hbj9ocIyuFtux492MUL5X2cP9/CxYUJFKeEozWqe9y8UmnlC+vnjbnnp1at4pKiBC4ujKekw8XzZT28WWvFK0v0uQPUWz0UT8NkfJ1axYUF8bx0vI9dNf18fFXahF8jVqfm/ivy+eGrjexrtvPgrma+e3HOlPc0fbvZTa1dxfLMOMo6XSTGmtAGvTg1Mfj9/mjDbjAYhqx6NZlMZ6xhz4rXE1IUXqm0cuH8eBamTf13dOPSZEo7nDxb2osnIPPI/g4+vCJ1Ur+rmfSXfR0canWQadFz9eLxr9COZNNNNsLmbCOy6YS56IwXcNP9wXe73ZSXl+N0OjnnnHOiK/smyuUPcc+rdRxqsRMMyaiA/MQY1ubGj/qcQEjmxVYNZY4+1CoVn143j5uXp434MwaDQaqrq2lra4uuhJ2NF4FIzEV/f3800mBww55p0XP5gnBkxWOHu/jmhRPfrSFGp+aHW/L43kv11PV5kBUZjUpifpKRlgEvr1ZaebXSSla8ns0F8bxeO0CbzUfbgI/vX5Jzysn5kiSxfJ6JJakGFslNvOfN5OolydNSvEVcVpwYLeA+siJ1UjsgZMcb+NGV+dzxSgOHWh3cv7OJ2y/JHbPnZSzBkMITR3vocfpJMGqRJKi3elCrJKwhA4sWFYYfd5qz6SYqI07Pf61M5W8HOvndO2388rqCKU8fKEo2kpdooNHqpcMenns6F+JQrl+azKFWB8+V9bJ1QeKUeownkk0X2fe5r69PZNOdILLphNnmjC9imC6KotDc3Ex1dTUZGRmsWLFi0hcduzfID1+upaLLhS8YLib0WjXXLEkZNTfN6g5w/2v1lPSriTOq+N5lBazNGXk+VE9PD+Xl5cTExLBhw4ZZuxG2w+GgrKwMt9uNoiiUlJREG/bBwzAfWp7C7toB3qwb4LolyZPawireqOHuy/L45vO1NA/4CIQUPrEqlfwkI7trB9hd20/rgI9HD3WhKCADpZ0uvvVCHT/ckkde4viiUhJ1Mj++JG/aG6S8RANFKTHU9Lg50ubg3OzJZQpmxOn50ZXzufPVhugG8nduyZ3UXDCNWuInV83nV2+3UtLuPBHGq+ANKtT1ed5/3CgNe2T47eRsusG/+9PVsF+zJJm3G2zU9Xp4uqSHj62cfE/Zrpp+HjnQyZULE2m0ejnU4gDAMQcKuKXpsdHP1Z4GGxcVxk/ba48VYdPU1ITdbqe6unpYhI3Ipht/Nt3JMSaiqBOm0weigHM6nZSVleHz+Vi1alV0Cf5kBEIy33uhhkarh5CiEKNTEQhBjFbF5YtGft3qbhf3vVZPnytAkl7hzkvncc4IxZvf76eyspLu7m4WLFgw4cUU0+l4p5OcBMOI8/kURaG2tpb6+npyc3OjDXxWVtaQhr21tRWHw8Exux6NbCQUknj4nWbuuyI/egc/mu+8UAeEw4z9soLDG6TXFSA7Xk+H3Y9Jr8aglUgz6/joylRuWJrEV5+txekL0ecOEArJBGSo6fHwuSer+MrGeVw/yW2jpsuW4gRqetzsqO6fdAEHkGbWRYu4410u7treyF2X5U1qkUhSrJZ7Ls/jubJe/nmoC6s7PERd1e3GF5RHHKId3LCnp4fnNZ6cTdfZ2YnH4yEmJmZIlMV0NewalcRXNmby7RfqeLqkh415FnLGEZQ8kuOdLhzeIM+V9WLSqemw+0ECh29iUyrOBEmSuHFpMj95vZlny3q4sMByWq8ZkQibyDzKpUuXDouwiWTTmc3mESNszhbjyaY7eYFEZD6dyKYTpsOcLuBkWaahoYG6ujpycnIoLCycchaSVq3isgVJ/PNQB7JPIUarxhOU2TQ/nvgR4kNer7by67eaCIQUzs2xsEHfyry4ocVLZCl7RUUFFouFTZs2YTBMb7juRBxusXP3q3UsTIvlvisLhzTiPp+Pnp4eDAYD69atw2KxcPDgQWB4w97c7+Wfb7ZwsNUJQLxOobTTxT+272VJsg6V0YzJbCYnNYHY2FhUKhW+YHiXiZIOJ0FZIRhSkJVw5AeANyjz5KcWk2Iaeg4dPpkuhx8Ag0aFX5IIBUKElPBzupyBSZ2LRquX58p6+eKGsefTjcf5+Rb+sq+Dgy0O+t2BSeeuASTHavnRFfn8cHsj1T1u7ny1gXsuzyPOMPHPt0qSuHFpCkvTY3lgVzO1vR68QZnWAd+Q3lJFUXD4QiO+x6my6Xp6ekZs2C0WC3q9flIN1fwkI9efk8x/Snr43Ttt/Piq+ZPa9ePLmzIxaFW8eLwPZ0ghJIeL/7kwhAqwLieOeXH6cO9hq5M12TM7T/bkCJvxZNNZLBbMZrPIpmPoAolAIBB93MkLJEQ2nTBRc/avKxy5UTZq5MZUFCQbcfuC6NQqbrswh8OtDq5YNDTnLCgr/G1fG8+UdAPw4ZVpfHLNPPa83TrkcV6vl+PHjzMwMMCiRYtOS8bdRM1PNpJq1lHW4eTBnQ3ccdl8JEWmpqaGjo4O4uLiWLdu3ag9KVZ3gH8d7uLFCmu0EYzVqbhlbTr/PNzN0UA6CVo9jxzoZ2lCH9n6VtrcEt0BPV1eFSFZQUKFrISLN0kK70wxLy48n+7k4g0g3qDhoZuKT2wJFsLhC2H3Bemw+ylpd/CxlZPrffvL/g5K2p1kWnR8aHnqpF4jIkanZlO+hV01/bxeOzDlmJKEGC0PnCji6vs83PFKA/dszSPBqKXDGaTNobBiAq9XlBLDH24q4sGdTXxpY+aQvXP73QHufq2RQEjh9zcWjeszeqqGfaRsuok27B9Zkcq7jXaqut28UmHlqglM5I9QSRKfW5eBSa/m8SPdOP0KigJ97tnfAwfh7eFuWJrM799p45nSnhkv4E52qmy6SISNyKYLG2mBBAwfeo3802q1Q+bSnW1D1cL4zbkC7nRHbjh9QX62uwkkiVvXzeOiwkQuKkwc9pgf72zkcKsdnUbFNy/K5YKT9jRVFIXW1laqqqpITU1l06ZNpxxWnCnxRi0PXFXIt56rZn+TjZ9sr2KDsQujQc+8efOiF46TeQIhnivr5dnSXqzuIL6gjARYDGoeuqmIQEjh5cp+qns8OH0hHH6FfT0Sx/Xm6F2oWlLQqmX6fQoaCUx6ifWZBq5enMjirKRRG3aNWiLToifTMr1xF59ak8a3n3fyn5JeLitOjGbyTdZlxYnsquk/sa9rAu81OTBqVWzIm1w+XJxBw/1b87n7tUZqetzc/nIDn1ydxo/eHiBVD9duGjn4dzRGrZp7r5g/7OvxRg2+oEKH3UdFt5vFaROflzlWwz54Pt3JDXsoFBp1WzC9RsWXNs7jzlcaePRQF2tzzCMW+OM5to+tTMOkU/Obt1vxBJVokPZccFFhPP860k15p4vKbjcLU2fXVmYim278TjX06vV6o48T2XTCWOZUAXe6IzcUReG3b7fQ6/SzMsvM9UtH7pH5+/52DrfaSTHp+OHl8yk4KdXe6/Vy4MAB3G43y5cvj2YzzSZpZj13X57Ht56t4PWafnRFSXzrgsXU1NREg5VP9pPXWzjc6sDpD6GgIAExejVrss1898UG2uw+DBoVnqBMvdWLAuhVEhcVxFOcEsOC1BjyEgzUWz385PVmNufFsCoxRMjrxN5Wy1v15UNWPs7EHXtRcgznz4/n7foBHj/aPeXcsQWpRrLjDbQMeDnc6uI3b7eSHW+YdAEHYNKruffyPO7d0URFl4tH9ncQr1fR4ZEp7XSxLGPq28FJksSW4gT+cbCTHdX9kyrgRjJawz54Lp3dbsfpdNLV1TWkpy5yw7Msw8SW4kR2VFv543vt3HFp7qQ/E9csCfcW/ubt1kn15p0pOrWKaxYn8Y+DnTxb2sP3L8k904d0Sidn08myjNvtHpZNN5sibM6U0RZIDM6m8/v9tLW1UVBQILLpBGCOFHDBYJCqqira29tPa+TGrhorb9f1YzZo+OZFeaPOt7ll7Tz8IYVPr5s3ZF5cJDOorKyMzMxMVq1aNSvngNT2uPi/PQ1sje/hlmIT/6gzsLvZT86xblaMcWO/KtPE3iY7OrWEPwQWo5p1OXEcaLHjDoT3vQrKCklGDd5gCFARo1Px1fOzhsRqFKfE8KcPLRgWtXFyw15dXY0kSUMu7nFxcdPek/mJ1Wm812Rje5WVa5YkMS9ucj0Cz5b28HrtAKuzTLQMeHm7YQCA0BR3lABoHvCRYNSQn2ikwepBUmQUBZ4v65uWAg7g4sJ4HjvcxZ4GG59blzGlfUNDsjLqim29Xk9qaiqpqeEbpMOHD5OQkIBOp8Nut1NXV4fb7R7SsN+4wMzBFjsHWxzsabCxMd9Ch91PIKSMewVyxDVLkrl8YeKc25Fh68JEnjrWw75mB20237T3Rp9uKpVqStl0Z1OBMjiiJDIa4vf7aWlpYf78+SKbTgDmQAE3OHJj48aNxMScnqGDdpuPP+xpAcJhvUmxo09AN+k1fOOioXfAkciNUCjEggULyMvLOy3HOVUN3XY+++8KPCGFekscT35mFbmFDu55tY6/72/HVajlvIzhDfd7bT6eqLKhU4MkqdBp4PpzktlSnMC6XDMLUmIo7XDx530dBEIKIRlCioxOluh1Bkg/aWHHSDlpJzfssizjcrmiF/ja2tohDXukoJvqHXu6WcdVi5LYVtbLowe7+O7FY4c1j0RRFP68rwO7L8TxLheKovB2/QBqlYrgKMODE/Hi8T7ebbQB4Tldbr+MLwT7mu3T1pgnxGhZk21mX5Odt+oHuGLh5Hqo3P4Q9+5o4pKieLYUJ57y8ZIkYTAYyMjIGNaw22w2+vv7sTc1cV4sPG+P5XdvNTIwEM//HbGzJjuOH16WN+FjnMnirbbXQ+EkonVOFqtTs3VhIs+W9vBMaQ9f3ZQ1DUd3Zo0nm26mI2xmq8FDqhGnyqYbvOJVDL1+8MzaAm4mIzeCssLPdzfiCchsXZTM+vz4cT9XlmXq6+ujkRs+n2/ISr3ZQlEU9lc2c+fOdjwhFRISH1mdiSRJrM6O49sX5/GTnQ08UenBoDaweHH4eUFZ4cVGmXe7XKjVKj6yMo1LiuJ5pcLKp9ako1ZJZMeHe0ByEgykmXX87I1mvEGZoCzj8ct0OHxDCrheZ4A9jTYKkgwsHaP3SKVSYTabMZvNIzbsVquVxsbGEbPpJnrH/qHlKeys7ufdRtuk5xjdcWkuD+xqxuENT463+2QkZBSgtMPJkvTYSa2iBPjv8zLISdDzcoWVfneAgAIhBWzeIH870Mntl07PkNqW4gT2NdlPzOGbXAFX2hGep1XR5cIfVCY1VDlSw77S7aZtdwuHO7y8VdtHIAClzb0cO2YbMuw+mxr237zdyq6afu7dms/yeVPvKb12SRIvHO/ljboBPr4qjQFPkD53gKXppkkHPs+EoKzwbqONNptvzEy/sbLpZirCZi4R2XRnt1lXwCmKQkdHBxUVFcTHx89I5Mbjhzup7HKRGW/gv9dnjvt5AwMDlJWVIUlSNHKjs7PzNB7p5Hg8Hl7dV86fygLYg+ELXKpJy3WD5vhdUJCA3RvkN2808OhxLwsL7RQmx/DgzgYOdiroNRLf3JwT3az902szRnyvNdlmHrxyPndtb6TR6sUTlDnW5mRl5vvzFQ+1OXhkfwcXFsSPWcCN5FShs5FsOo1GM+TiHhcXN+aFyqzX8KHlKfztQCeP7O/gx1fNn9CFTZIk1udZ+NV1hdz+Sj397iDegIwMOLxB7nilgVSzjs0F8VxcmBAtaP92oJNUk5YrR8kYjIgzaPjw8lRuOCcccPvkoTYqewMEFTja5ozu3ThVKzPNJMVqqev1UN/nYX7SxHuO1uXG8dVNmfxuTxsP720nICtcf07yqZ84BlmBn7zdzYKMBGr6e6l2qrHEqnD7Q6hiLLjdTjo6OvB6vUMadovFEo2wORMKk43squnnoXfa+M0NRVOOqkmM0XJRQTw7q/t5vryP450uqnrc/PaGoknn5M0Ely/Eb/e0EZIVLilKIHUCC1FOFWEzWjZdJMLmbCKy6c4us6qA8/v9BINBKioqZixy43ink8cPd6BRSXz34jwM2lMPxQWDQWpra2lubqagoID8/PxZeeenKAotLS28driW5zpMOENqJElBr5K4aUXasO2Jrl6SQl1LOy/V+bjr5VrMBg0DniBmLVxbHBMt3k5lfpKRX15byGefrEStkjgnY+iE+HNPxCAcbHEQDClT2h5otNDZSKSB3W6PNuyRPR7b29tJTEwc1rBftTiJlyusVHa72dtsZ33uxBceFCYb+f7Fudy3ozG8SlcJL0LISTDQ3O/liaPdPHG0myXpsSzLiOXZ0h4AWm0+PrM245RbcGnVqvC+sAYXe+t6eMtq4hfXFkzb34lGJXFJUQJPHu1mR3U//7N+ckN/lxQloNeo+N83W3hkfwf+kMyHpxDTUtHlpqzDRUm7kzSzDpffh8MXQqOS8BkSWVMU7oE8OZuurq4ORVGiDXukl3ay2XQTtXVhIm/V26jocvHvI93cem76lF7PEwhx5cIkdtUM8GqlleKU8O9ntu8qYTFquLQogZcr+thW1svnz5vaYqGJRNjIskxPTw9arVZk050gsuk+GGbFJzkSuVFZWQkwY5EbTl+Qn73eiKzArWvnUTiOvTH7+vooKytDr9ezYcMGTKbpmUA+UU1WD5nxhlEbfJfLRVlZGaXdfrZ1W3CFFNRSeOK72aAZlmsXcXmenlprkANdAXpdAZbPM1PXE+CFOg8fPm/8xVayScu/P7EYnUY17BgTY7QsSI2hqttNeZdrWoaWBlOpVFgsFiyW9wswv99Pf38/5eXl9PX10djYGG3YBw+9fnxVKr98q5V/HOzi3Ky4SRWXKzJNfO2CLO57rRFPUCEQUvjN9YXU9XnZVdPP2/U2yjtdlHe6UABfUGZbWS/tNj/f2Zw9rsUDkiRRaJG4+cKiCR/fqUQKuDfrBrj13PRJ9xptyregVsHP32jhsUNdBEIK/7UydVKNwTkZsdx3RT6/fLOFLocfX1CJLpSo7/NEs9HGathtNhuNjY1Dsukiv/vT1bCrJIkvb5zH17fVsq2sl/PzLZPaag7AH5L50a5mfEGZVZmxHGp10ucON75zIZT4unOS2V5lZUd1eL/gyYRSj2asCJvy8nI8Hg/Hjx8X2XQnjJRNF/knsunmjjNewLnd7uh+m4WFhTQ2Ns5YXtof3mmly+Fn2TwzN56idyAQCFBVVUVHRwfFxcXk5OScsT/6gKzwvW3VqFUS58+P58LCRBafmF8lyzKNjY3U1dXhM6WzrUOLLxSO/FCf2NN1Xa6FNPPwoQVZUXilwUeFNYhWJaFSSTj9QTJioNOjsLfZPu5eOGDM/TvX5cRR1e1mX7N9SgVcSFbY22RnQ97YQ6Q6nS66xdrSpUvRaDTDGnar3cmTbWYMkoYWa4hnj7Rw48rMMRdIHGxx8PeDnUiEh/m8QRm7N8iAJ8gF8y3srBmgKCU8H68w2UhhspEFKUb+dqATp19mwBNEVmQ8AXi9tp/DbQ7+cFMRmZYzNxyWbtaxfJ6JY+1O3mu0T2n/zfW5Fr5/sYofv97Mk0e7CYQUblmTNrkiLj2WX19fxO/faWNPg40BTxBCCodaHXx4xch/v6M17JGemsiwu8/nO20RNtnxBj68PJV/He7it++08fOrCyZ1Y+Dyh+h3B2kZ8JJi0iErCk39XtSShNM/+wu4dLOODXkW3q4f4KWKvintbzsekQgbvV5PTk4Oqampp1zpfjZn043WSyey6WavM1rANTc3c/z48WjkhtPppLGxcUbee3eNld01Vkx6Nd/enDvm5PKuri6OHz+OyWSalpWwNk8AlUrCPMI+pOMx4JXJijdQ1e3ixfIeni/rwahVYdFLXJPhJk0vs2bNGkxxFt7tq6O804lfkjFqNXiDMlcvGZ5L5/aH+MXuJt6u9xGUIT/ZSKJRR3WPC7UMCgrbq6wTKuDGsjbHzD8OdrK/2cHn101+/tZD77Sxs6afj69KG7URH8nghj01LZ0dVf38pqQVuzeESoJYtcITR3swDdRijjXh15mYn2ohJTE++vvvcgTY32ynstsd3RZs8HpTX0jh+c8sHRYObPUE6feEFzrE6FT4guFh36BCeMh6EvEdQVlhV00/3Q4/n1wztWE6gMsWJHKs3cmOauuUN1Bfk23mzi253L+ziWdLe/AFZT5/XsakFnSY9Gr+3+ZsVmeZ+fmbzTh9Mg1W77DHeQIhQjIj7h+rVqtJSEggIeH98O3BKx9Ha9gHZ9NN1E1LU9jTYKOhz8Pzx3u5cRL79iYYtfzoynzuea2R2l4PITncK6dRqWb9EGrEjUuTTxRwVm44J2XGF16caqW7yKZ731gLJCLZdJG5tycPvYoFEjPjjBZwRqOR1atXRyekz5Quh5/fn4gMue2CHJJHmVDr8/moqKigr6+PhQsXMm/evCl/IGt73Hzu8XI0aolHP34OGRPoaQmGZFqcCi6Pn6KUGIKywvFOJ05fiH4PtKPQNqAmL8XCRUYvFxYYSTZpCYQUFqfHcuPydN6p76f4pKHidpuP+7bX0dTvxaQFjV5FrzNAjzOAViXh9EFAUTjW7qTD7iNjkjlpg2VZ9MyL09Nu99Fg9U5qsjzABQXxvFE/wGOHuzDr1VxxisUAgymKwuE2J3/Z10FFt5tAKHyBWpcTh1mv5lCrg27zAnZ3OCjv9rI1qwunp4l2j5pOvw5PSDpxUZOQT2S9aVVg0KpYPs/Ef61MHXFnh6sWJbEh14LdF9kWLIjdG6Suz0sgJBM3wp67p2L3Bvnzvg6CIYULC+KnPKF9XY4Zs15DWadrWmJKls8zcfdledy3o4mXK/oIhBS+uGEeigJH+2BjoszIy2KGkySJS4sTKEwy8FxZL1+/MHvI99+qH+Chd9q5ZkkSH181vl4eg8GAwWAYsWG32WzDsukmGmGjUUt8eWMm33upnn8f7mZ9btyk/o7iDBru25rPj3Y1c7jVgS+oEFCFsHvnxrZg85OMrMw0c6TNwc6afq4+w2HKY610t9vt9Pf3D8umi/zuz9ZsutEWSIhsupl3Rgu4lJSUUVP/TxdZgV+91YrbH2LLgiQ2zU8Y9pjBK2ETExPZtGnTlLvUFUXh5eO9/Hx3Yzj0NgC1fZ4JFXDeoMzvS0Mg2QkqDrxB+URIbKR4UJFs1tNu8/GvQx38bV8bnqCMSa/mM+uyWJJhYm/jALc9U8l3L8lnYVosR1rtPLizAacvRFFKDP9VoKBXydSGknniSCdOXwhvKPwODl+IlyutfHaUFagTIUkS63LjeLa0h33N9kkXcMvnmfjmBdn87I0W/rS3A7NBM65ewvo+D48c6ORImxOnL0hIBpUE63Pj+NaFWZR3uXivyc6/jvUSo1XjCCi81KpGr3l/W7AEnUyPR0GRZQxqifQYiS0FJrYsSCYl0TLqPBG9RkV6nI50pm+qQGKMluuWJPPUsW7+frCTO7fkTen1tGoVmwvjeb68l501/WzKs1DR7aY4xTjsBmC8lqTHcvfledz7WiM7qq0EZQWdWuLFOgjpPBRPMAklL8k4rHgDyI7X4wmE2FUTnmt1qoUhIxmpYQ8EAtFtwUaKsIn0zI62LdjC1BiuWpTIi8f7+P077dy3dXKB5DE6NXduyeVnu5vZUd1PSA5Ht8wVNy5L5kibg21lvWxdkDilRUynw3hXuqvV6iHzZ2dbhM1MGGvodaxsOkmScLvdxMfHi6JuCs74HLgzYUNeHO6gwhc2Dg/C9Hg8lJeX43A4WLJkSXRl41S4/CF+81Yzr1X24fKH9w/dXJTA+SMUj6MJhmSOtDnQqMAZkJEkCUVWUKGc2Eg+k/9anYFaJVHd4+aV4708fayL0Imhve88X83C1Bj63EG6HH6+83w1H1+dwYvl3Th9ITYXJXLbBTk01tUQCincvDSNyxcm8cSRTp481IbdD4GQwr8Pd/PJVanoNFMfTliXYz5RwDmmNB9mY74Fpz/EQ++08cu3WojRqliVNfo2a/2eIN95sQ63X8YTCFenGhWkmHSoJPivxyoIygpqScIvK/iC4QY51azjsuJEFpwoYixGDX870EmT1cPmHD2Zei9Oh4PqijKOB4NDIg1m4o79xqXJvFZl5WCLg5IO55R3aLi0OIHny3t5vaafWK2aRw918l+r0iZdwEG4iLlvaz53bW9kd21/dIXy7iYPt4TkYSujJyM/MTzXsLbXw5E2B+dmT08uo1arHbNh7+joAOCdd94ZtWH/+Ko09jU7KO1wsqtmgEuLx38NGEyvUfG9i3PpcgToc/u5ednUYlpm0tL0WIpSYqjpcfNOo40LC+LP9CGNabSV7iKbbmTjyaZrbm5m5cqV2Gy2WZmbOlecdQWcSgpvpXPd8qGRDZHIjaqqKtLT01m+fPm03E3V9br50Y4GGq0ePIEQEuGNw2+7YHzdDc39Xl6r7GVXtRWbN4g/RHjCvCwTo5E4N9fC1y6az7xBQ1xFKTE84vATZ9CwNMNEhkXP27X9VHSF79L9QRmXX+H/3mtlQWosWxcl8/HVGcOKC7NBw+fWZ5ET6uC1Di1vt/g4N9t0YhfUqStOicFi0NDQ56Hb6Z9QNlTEr95qIS/RwPXnpODwhnj0UCc/fr2Ze7fmjxrGazGoyYk3UN7pQqMKX2wyLXqMWomyThfh0VAJnUaFFiVc4KnVLMsw8YnVQwvNkSbkTySbbjrv2GN0aj6yIpWH97bztwOd/PyagknNM1MUhe+8UEe8UUNBspG6Xg+ttvDG79OxLdieRhtrss0caLFT1uFCLYHNJ/NWvY1LiiZX0JxsS3Eitb1t7Kjun3IBN1rUzckNu9/vZ8+ePSxbtiwaYzNSNt0tK+L5+Z5u/rq/g9VZJjRqifo+LzkJehImMHyuUUv8+oZCFIVRty2bjSRJ4oZzkvnp7maeKe3hgvmWOdcLc6psup6enmHZdDMdYTNbjDT06nLNnR7j2eysK+AiBhdvTqeT8vJyvF4vK1eujEYQTIWiKLx0vJf/e68Vt1/GH5LRqsJFwXVLU4cUXCfzBkK8XT/A9spejne+/0FflBqDwdPDe70aEk06vnxBHhcVJg67GDxzrJuSdgepJh13Xj4flz/Ea5V9BORwA+wPKciKgj8Y4lCLndIOJxvy4pmfPHLBk2iQ+OIqM/99fj65CQYkSaLfE0CnVk1pv0y1SuLcHDM7q/vZ3+yY8HyYJ4528Z+SXhRAkeGmZcnYvEGeL+/l/h1N/OjK/GFzwXwh+OkbbdT3eTDqVASCCrF6NbdfmsOAJ4hOrSInQc+f93awp8GGPxTeEszjD9Fh9w07hpEuxBPJpos07IMjDaZyx375gvAQXV2vhz0NNi6YHz/h1zjY4mB/iwMFMGpUhBSFgy12YOoFnCcQ4uWKPryB8A4VQVnBFwQFmefKerm4cHqGVC6Yb+Gv+zs42OKg3x0gIWZyhXJph5Pf7mnj9ktzyR3nvMK4uDji4+Oj/x9p2G02Gz09Pch2O4UGPRUOHT9/rZK4GD3vtvr42vlZXDzBAlYlSUzT/dQpuf0hOh3+SU93GOy83DjmxelptHo50uYcs8d8rjhVNt3JETaRv/uzMZtOmB5n9admcORGVlYWq1evnrY/pJpeNw/taYk2eAaNiqAMFoOGj60aPiyrKAq1vR62V/byRm0/7hOxABaDhksXJLEySWagpQYssCgrievWFmMeIUeptsfNPw60o5LgOxfnYdKHw3hzEwzYvOHJ8gZFRSAo4w3K+EMKQVke16T3vMTwhXtHtZU/vtfOh5al8tGVkw9nBTgvJ46d1f3sa7aPu4BTFIUnj/Xwp/c6UAC9RuKyBQlIksSn16bj8IXYXdvPXdsb+fFV80kzh3v2Oux+Hmsx4cBJYoyW716cg8MXJCgrFJ1UvH7romzSzDqeLunB5QuvLm0cYbXjkTYHe5vsfGZtxph5aaNl00Ua9u7ubmpra0fMppvITiQatcSn1qTx49ebefRQF+tz4yY8LLkyy8wn16Tx+JFuvMFwdmBTvw+VBAdbHaMukhjPbhBGrZpfXFPIC8d7eb12ACUgE5A5sd2Yi/3NDtblTn1IJUanZlO+hV01/bxeO8BNyya+6hPg9doBuhx+bn+lgXsvz5tU8TJSw17Qa+fbLzdxtDvIigQffr/EG0erSfG+31M3mxr2XmeA//dSHQC/u6FozIig8VCrJK5fmsxD77TxTGkvi9NiKe10opakWV/M9boCPF/ey9KM2DF7d8fKpov0zre1tUWz6Qb/zZ+N2XTCxM2Oq8MZYLfbo5vPr1mzZkikwGBBWUElMeGhqOKUWG5Ylsorx3vxBmXMei0OX5CblqcN6Q1w+oLsrulne2Uv9X0eIHxDvTo7jssXJrEizUBNdSXWZiuLFy+mra2NwlTTiMWbNxDiJ683EpQVPrYqnSUn5kBlxRv4w4fDm5vKioLDG8LmDWLzBOi0+7B6gmgm0MgXJBkJhhReqezjxmXJU9oYfNk8E3qNivJOF05faMTYh8EUReHvB7t4/Eg4U0wlwfXnJBN7IpJFJUl8ZWMmTl+IAy127t7eyINXzafB6uGnu1sY8KtZMs/IDy7NJXGMXhmVJPGpNemkmXX86q1WHL4QPa4ANm8Ai+H95z1X1svRNierMs0TLjxGu2OPXNwbGxtxOp3odLphc6rGcl5uXDQo+aUK64S3sdKoJD6/bh7JMVoeOdCJyxciEFKQFTje6eKrz9ZQlBLD5oJ4LiiwYNZrsHmC/Pj1Zj6zLn1YMXyyrHg9X9yQycdXpfFaVT+PH2ylyxP+W6vodk1LAQfhfV131fSzo7qfG5cmT6pB/PLGTEKywpt1A9zxSgN3XZbHgknskztYU7+PH7/ZxdbFKTxb2ku9V49WF8KtNREXZ8But9PS0oLf7z9t2XQTlRSrIcui51i7k0cPdfE/66e2kwLA5sJ4/nW4i9IOJ0fbHTy4q5ncBMOsL+COtTvZVtZLZZebNVnmCf0+Itl0g3tox5NNN/jGTxAizsoCrq6ujpaWFvLz8ykoKBh1yEpRFL7w5HHaBrzcflkBmyYwHOX0BTnUYscblFmTE0dyrI79TTZuWJaKoiiUdjjZXtHHnoYBAiEZgGSTjssXJLFlQRIpJi1tbW3sfe8QKSkpnH/++eh0Otrb20d9z/97r422AS8L02L52OqRV4qqJAmLUROOt0gwsHTexC+W85OMLM0wUdrh5O0pzlvSa1SsyDSxr8nOoRO9O6ORFYWH3+vgxYq+6HxCs17NdUuGFigatcR3Nmdz92uNlHc4+fIz1bj8MrIsk20M8D/npY1ZvA12+YJEEo0avvtSPRvy4lCfdLFemx3H0TYn+5rtUy48Bt+xz5sXbiCDweCQodeWlhYCgUA0j6y9vT26AnLwaq/PnJvBd1+q46lj3VxalHDKwngkNyxNod8T5D8lPQRCISQJilNjcPllanrc1PS4+euBDtZmxwEKx7tc/ODlBr5+fhYbx7ESOM6g4eblKeQFWyn1mPGpjNx67tRXOEcsTI0hK15P64CP8k73sC3dxkOjkvja+VloVRI7a8K9uj+8LJfFaRN/rYgd1VY67D6eK/MTb9RgdfnxhqDVESI7Jyd6szg4m66jo2NYwx4p6mci+FySJL60IZOvPlfDK5VWLphvYdEUzgGEMw+vWZzEo4e62Fk9AMz+LcEALpwfz2OHu6jqcVPe5eac9Kmdh1Nl00UibPR6PYqi0NzcfNZm0wlDnVUF3MDAAABWq5X169djNo9dvPzzYAelHU4UBXZV9467gPOHZH68vZ7mfi8LUmP5waX5GLRqvIEQBq2a/U027n41PByhUUlsmh/P5QuTWZFpRq0KL68+ePAYTqeTZcuWRf+wx/Je4wCvVPRi1Kr49ua8SUUnTMS1S5Io7XDyfPnU5i35gjI58Xr2Nirsa7aTn2igy+knPyGcYRcRlBV+t6eN3bX9ePwhdOrw4oOVmeYRh/P0GhX/76JsPvNEFc0DPnQqiY15cRxoCvBq1QBFqeMvXM/NieOlzy3FOMI+uety4nh4bzsHWhzRrZ2mk0ajGTF0trGxEavVOmrDPj8hjvV5Ft5rtPF0Sc+k9+C89dx0BjxBtpX1ElLCQ/q/vj6fY+1OXq/pZ2+znXcbbdE8PJsnyIOvN/OpNWl8aFnKuD4XahVsLXh/mGm6SJLEluJEHtnfwY5q66QKuPDxSXx5UyZatYpXKvu4e3sjt1+aO+kdRD63LoOMOD2PHOjA6g7iDoZXijt8QTodfuadyIc7VTZdbW3tiNl0ZrP5tKx8TI/T8fFVaTyyv4Pfv9POL68rmPSq4ZoeN3e+2sglRfEYNCoOnJhjORe2BNOoJa5bksxf93fwbGnPlAu4k42WTdfT00NFRcWwbLrBvfNnWzbd2e6sKOCCwSDV1dW0trYCsHr16lPOK9pR1cdf97WjnIiYuGHZ+GIuZAX+uK+Hsg4PGXF67to6H8OJhj/y31VZZs7JMLEu18IlxYnEn1h5pigKjY2N1NTUMG/ePFauXDmuOTB9rgC/erMZgC9szB5zgcR0WZNtJuPEJOSSjsnvZ7q7tp9/H+nG5Zd5s24AtSTxVv0AX96YyWUL3g94/su+DnbX9hOUlWh6u0YlccXCkUOge10BHtzVRFCW0akk9BoV8onv7Wmw89l1oQnN4xmpeIPwnq8FSUbq+jxUdrtZMoWLeafdT5fTf8pzaTAYMJvNeL1eVqxYMWLDXtXjZW+nmUBIxXMlXWzK1DI/PWHMhv23e1opaQ8vmgnKCt6AjM0XRFEgN8FAryvA0vRYNCqJ1VlmVmeZeWBnU3T42+UPISsKnoDM7/e0sbt2gN/fWDSplbDT5aKCeB491Mm7jXY+f96ph+hHo5Ik/md9BjqNxLay8CKZ71+SM6nhPkmSuHpxEkvSY/jFG63U9LrxBRWcvhBV3a5oATfsGCaQTXe6ImyuXpzEW/UD1PV6eLqkZ9LxP05/iJCi8OLxPuZZ9LQNeAnnaMv4gvKk99+dKZctSODJY90cbHHQaPWSl3h6t77TaDTRzLTly5efsZXuwuzygS/genp6KC8vx2g0ct555/Huu++e8u70cIudX73ZFB2mizNoxp19tbNDw6EBFwkxOu67sjBanA2mUav46bXFQ77mdDopLS0lEAhMaHcKWVH43zcacXiDnF+QwKXFM7OrhUqSuGZxEr9/p4VtZb2TKuBaB3w8vLcDf0hBQsHmDfHC8V5CMjxb2sPyeaboAoRrliSxv9lOl8OPRi0RksPhtetyhg9bVna5efD1JvrdAQKh8Kbq9VYvpR0uDCoFbzAcWbF1lOJvotblxlHX52F/s33SBdyAJ8j3Xq7H7Q+NGYEyksENu96SyrN729nebEVWwKyFQEjmj2/WckWam5DejEofyzlZCdGG3RuUqen1UNLuot7qIXhivtvg9aZ/uKmIrHjDsJ7dHlcAlz88vGrUqfEHZUKKTEgJ7w4xmeKt2+nnX4e7uWC+ZcrzoeKNGtZmx/Fuo4036wa4agrJ/5Ik8elz09GpVTx1rJsHdjXx/y7KmfTQeX6ikV9cW8Bf9nXw+NFuQgrU9/nYXDj0cWPthDFSNp3H4xmyz+t0NuwalcRXN2XyrefreLqkh415lknt+rEy08w9l+dx/44m2gZ8eIIKwZCMWa/B6QvN+gLOqFVz5aIknjzazbOlPXxjhEDp02kyK90jvbRTXekuzB4f2ALO7/dTWVlJd3c3xcXFZGdnj2vXh7peNw/sqMd14iKiKFCYHBPtPRvLsyXd7OtVE2tQcc8VBePqCZNlmfr6eurr68nNzaWwsHBC8xq2lfZwpNVBsknHV8/PnrHuc1lRaB3wYvcpvF7bzyfXpJGfOP4Vev2eAM0DXmJ1amyeIGqVREBWCJ7oJivtdPPfT1WxIDWGC+bHc056DIGQjFol8dl1GWhVqnCBcNJ16LUqK3/a204wpLAkPZaaXi9H252oJOlEZIWEpMhsr7Jy+YmVq1O1LieOfx3uYl+zg1vPTZ/Ua1oMai6cb+G5sl7u29HIj66cP+7YCghHPPyntIenjvXQ7wmeyAaDr1+UwyP7u6jxaPhIXgH3vt6GUe3j0t426vsb6PBp6PNrQJLC+XdKuHhTSeHGOj1OxyVF8WSY9SMOy//4yvkntgIL4fCFsPuCDHiCHGtzcnFR/ITPA4Qnie+u7ae+z8PyeaYpD0tvKU7g3UYbr1VbuXLR8NidiZAkiU+sTkOnlnjscBc/2d3MNy/MZlO+hW5ngKMDOi6awOvpNSq+tDGT7Hg9aSYta3OHzh18cFcTe5vs/PK6wnGtgJUkiZiYGGJiYqINeygUwul0Rntopxphk59o5IZzknm6pIff7WnjwavmT+p3tDgtlvuvyOfu7Y247X6CMniCMg5fiKTY2d9rdNWiJJ4r7eXtBhsfX502qRzL6TTWSvdINl1dXV10pfvZnE33QfGBK+AURYluPm+xWNi0adO4Yxi6HD5++EpdtEdBLYV7y8YzWfftun7+/F4rEvDV9akUp576OTabjdLS0vC2UuvWTXilUUOfh0f2tSEB396ci0l/en6dsiwPKX7t3iA/f6OFN+oGAAjJ8FJ5L185f/x3ofuaHPzh3Tb8oXAu3cnpYmadCpNeTVW3m8ouF65AOM5icVoMF82PJyArfP25Wiq63Xzt/CxMOjV/2d/ByxV9AHxsZRofXpFCvzvIv490s6umHwCfHC7gjne5qO31UDSFXQUichP0pJp1dNh9tAz4JtUjIUkSt54bjkDZVdMfXT2bbh67UQiGFLZXWXniaDddTj9ufzhfTa+WuOuyPOJjNKzJNvFaVT8PvtWJw68woCi82KZFknQoioJBq2DRyjTaFVSSQpxWYkWqmq1FFlbkJo3ZsBu0KgxaHSkndcBeu2TyWYoXFybwfHkfTf1e3qgbmHK47/J5JlJMOhqtXur6vDT1e+lzB7hyYdKkh1Q/vCIVrVribwc6+cUbLXgDIf5+oJNeh5GbBnzkTuBmBsLh4iPJSTCwt8nOjup+/mf95PLXIls+WSwWsrPDf6OnirDx+/1j3vB+eEUq7zbaqepx80qlddJ7ms5PMvLgVfP5/kv11Fu9eAMyPS7/aR+SnA7xRg2XFifwckUf28p6+fx5U1+ZO93Gyqaz2WyjrnSfTRE2wug+UL8hr9fL8ePH6e/vZ9GiRWRkDN9dYDQOb5A7X66j3x3AYtRi9wRINevocQZYcIoCrrTdwc9eb0QBrsoKsGre2EVBKBSipqaG5uZmCgoKyM/Pn1SXdopJywUFCSSbtCybxGrSU4nsTtHf34/VaqWrqwsrJh6rlml1BJFP9PKYdCrerLfzqXODxI0Qb3KyLoef2l43QTmcQaeSODH/JRyhEqtTc+/WPFZmmjnW4eTRg10cbnMgAU39Xm59opLCpPDQ3+FWB9/YVsvVi5N4uaIPo1bN1y/I4rwTw1pJsVq+simTa5ck8fcDHbxVZ8UbknD5ZX67p43f3FA05fMkSRLrcuJ4obyXfc32SW8kL0kSX9qYicMXYn9zJAIlf8x0/u1VVh7e247LH94XVwKMWhXFKUb+sr+DBqsXrVoiEFLwBGXUEqhPHO+5OXEUp8SQHa9HkuD7L9WzJM3Ihgw1ks+J3d7P4cNNU86mmyi1SuKWNenct6ORfx7qYlO+ZUpDamqVxCVF8Tx+pJsd1VZqejzU9XnYlG+ZdAEH4VW6OrWKh/e287t32jknzUivw8MLx/v4yqbh2/RNxiVFCTx5tJs36wa49dz0aRtaPFWEjdVqje4scXKEjVqtRq9R8eWNmdz+Sj2PHupkXY6ZlEn2QGVa9PzvtYV8/qlKzs2OY/4cKN4irluSzKuVVnZUh/fdHc/170waLZsu0ksXGXb3+XyzJsJGGN3s/rSNk6IotLW1UVlZOSRyYyJ8J4bnchIMNFs9GLTq6Id1rB64JquHe7fXE5QV/mt1Btmu6jHfp6+vj/LycnQ6HRs2bMBkmvx+lSa9hm9fnIc8yubZY5EVZdj8pEiwcWlpKT09PRgMBjweD2azmYTERN7plHjquA2nX0GWFVTAYgskm1Qc7QnyYlk3/7Vm5LvQQEhmX7ODHdVWjrW7wpsdKwoSEkatCllRCIQUQnL462qVhEYtkWrS0mbzkWDUcPOyFBqsXg63OTneFX4NXwhcAz7+sr+DFRkmPndexohDTTkJBr5/cTY5/mZ22VNoHvDx4eWTC3cdydocMy+U97K/2cGHlo+8alhxW/HueQhN5gq0S64e8j1vIMTXnqvle5fk8O2Lsrn3tUbKOl3c81oTD1yRP+qOFyvnmZAArSo8Zy1Gp2ZDnoV9TTZCSrhYQwkXsl5/CN2JAuCS4sRokRvx46vmD7pAhyenj5ZNp9frh82pms5Ig9VZpmhUzfPlvaOe01Op6nFxz/YmLjux5+hb9TYy4sLXhmBo4n83g/mC4YU3G/LieLfRzrEOF0EF3qgb4JOr08NRPVOUbtaxfJ6JY+1O9jbZp7RvqKyE/75GWjl6coRN5MYtOzt7SITN4Gy6xLg4Ns83s7vewR/fa+cHl+TQMuCn3e5jQ97ERhOSTVr+c+s5Z3TBy2Skx+nYmG/h7foBXq6wTjnY/ExQq9UjrnSP/N7HyqabiQgbYXRzvoBzu92Ul5dPKHJjJMmxOn52bREP7mygud/L9UtTmGcxUNfrHnVVWK/Lz50nhly3LEji46vTeeutkQu4QCBAdXU17e3tFBUVkZubO213MxO96PW5Ajy4s4FrliRzYeH7k58LCwujOXNXXnkl999/P6tXr+adA0d4uMRLpTWENyQR2cc+VqfmEystuF0uDnUGeOZIG5meBhLj359bMRDS8Xqdjd21A9i9wejzLiyIx+4NsqfBxqosM59ak8adrzTQ2O/DGwwX04GQzM/faMEfkrnunGQ+uSadp4/1cLDVQVCGQIhohp43CG832Kjr8/D4JxePem6zY0L8+bJC+rwKGXHhXKX6Pi8FyVPbHmhxWiwmvZrqHjdWdyCaM6coMqGmfQSOPkmo9g1AIVSzE83iq6LH6PKH+PJ/qqnt83Lr45W89t/L+MGludzxSgP1fR4e2NnEXZflDet9aXQo/PKVehTAYtTg8suckxHLdy7K4r0mC0UpRlAU7tvZTLvNh3zivTRq1YS2BRtvNl1sbOyQi/vgbLqJigwpf+v5Wv5T0suW4kTiJ1EQPbK/kxabj0cOdKLTSLj9oWiW31S3dd3fHB5CpAckCXwBhYAs4fCFeLXKykdWTE9jftmCRI61O9lR3T/pAk5RFP74bjsdDj+3X5IbXck9FkmSxmzYOzo6WBhysEc28V59kKdjPPynNogvBE98csm43mOwmSzeKrvdzIvTTUuP2Y1Lk3m7foCXKvq4YWnyrF+AMR6nirCJZNOdHGEjsulm1pwt4BRFoampKRq5sWLFiikvl26yejnS6sBs0HDzinRidWq2LBh5bofTF+SHL9fR6/SzOjtuzAUE3d3dlJeXYzKZ2LhxIzExU593NRXHO50c73RS1+smL9FIbmI4YiAnJydawLW3t7N4cXj3hrfaFcp7Amg0arQnNn/XayTOz7ewcXEOAK/31HO804XNnEF6TICd1Vbea++i1a1CkiQkScWCZB2XLUjkouIUDFo1bn+IDXkWNuTFIUkS3704hy/9pwYAWVb456Gu6BL9T57YRD5WpyI/0YDdG54wHwip8AcVvMEQQRniDOpTFg2SJEV7YX64vZGSdie/uaFoQosGTqZRSZybHcfu2vC2YJdnhQiWbSNQ+hyKrW3ogz0D+A/+A/25t2D3Bvn+y/XU9YW36VqdaUavUaMH7rosj++/VE95p4uf7W7he5fkRBcSvN3s5bFKUKmDbMiz8JVN89he1c+lRQnoNOohDf1PrprPg7uaOdbuxB2U8YdC0c3pI1z+8Nw7t18+ZS/Cydl0iqLg8/mGhc5GVscOHoKbyB17YbKRCwrieatugCeOdk8q/f+OE4VwSYcLXzC8QKOp34taJbG9qo8PLU8dMdR5PNuCbcq3YDFqeL6sjwMtdtQqCCoQ9Ms8erCTG5cmTzonbbB1OWbMeg2lHU7a7b5RbyjH4vCFONrupMvh554djdx5ae6ktsM6uWH3B0KoM7r5zbvd/Kfah0UTpNUj8fyb+1iSETdkTtVsWfm4q6af3+5pY3NhPF87f+pD3fOTjKzINHG0zcnO6n6WzYulttdDfqJx1s/lO9Tq4OWKPr51YfaYn4eJRNiIbLqZMycLOIfDQVlZ2YQjN8aiKAqP7A83tB9dmT7mJu3BkMwDOxpotHooTI7hB1vyR9yKyu/3U1FRQU9PDwsXLiQzM/OMfpD9QRmdRsX5BQkc73Sxrayb+1+r53+vK6aztZG0tPcznY4fP47f70en03FptkS7T029LZzPFBni/MTq9x9/zeJEStqd/P3oAFq1Ck9ADahJNqs5L1PHioQQhqATR08l+/uqo3/cC+LiojsLLM0w8YtrC1iTbaa0w8VzZb3o1Cq+dWF2tCG8YlESVywKF9WKouAOyOE9Xj0h6vvczE+e2AWzOMVISXt4mO6rU5y3dG5WDLurunjvnTc4f+BHoIw+CTzw5q+wJS7nnmMxHO90owAGjcQXNrxfpMQbNdx9eR7fe6meAy12fv9OG19cP4+/7u/kpeNOQgp8clUaH1oeDsy9cenIQ8JxBg33bM3j12+18lJFH0EZ3mmw89VN7z8mJCs8sr8TvUY14e3RJEka9Y49MvTa3d0dvWM/ebL0WD6xKo13G21srwpPlB8tTmM0Jr2Gn11TwL07mjja5sThCxGSw0OJz5f38WplP6uyTGwuTGBtjhmdWsWehvD7fXdzzphz5CRJYlmGiWUZJtpsPraVdvN8WTfOoIQnINNp95M9hZuCCK1axebCeJ4v72VndT+fWjPxUOY4g4YfXTmfO19t4Hini7u3N3LX5XljXufG4/FjPVR2e1iVFcfRdifojegCfhRLMjEx8oxk003UinkmjFoVr9f0c+H8eFZkTn4aS8SNS1M42ubkufJeXIEQjx3q4uOr02Z9AfdKhZWDLQ62V1m5YZTrx2hGirAZK5uupKQEk8nE+eeffzp+lLPSnCrgphq5MZZ9TTaOd7pIMem4avHYK+h+83YLx9ocpJt13HNFwbCQV0VRaG9vp6KigsTERM4//3z0+tMfrjuWXqePGx8pIS/RwM+vLeaz582jptdFWbuD7z11gI8VwBVXXMG2bduAcPFZVlbGqlWrqLVBw0AItVrNp9emc6DFQUacjkyLHocvyJt1Nl6rsuLyy9h9IeJ0aixGDelxOn56VQEa9fsXaVmWo5EGgxt2o9FIXFwcGXFxdPSG+NVbnQB8em36qIsCJEkiVqcmVqdmXhwsTJt4z+ZVi5J4rqyXN+tsfHJ1+qSG6WRbG4HSbSwsfQl18OuUEYdH0WBk9AKuhwR+9FINTbpCZMIrnpdmmCg6aSg3zazjnsvz+P7L9eystrKvyY7LH0KrgpWJcPPy8e12oFOr+NZF4RWIu2r7+eTqob1scQYNi9JiKO90UdLuYk321BbFDL5jjwgEAtHf++CGPdIzI0kSFosFg8EQ/ZnSzDquPvE7+uehLr57cc6Ej0WrVvH9i3O4/ZUGyjtdeBUFrVpiTbaZym43B1scHGxxYNKr2Zhn4XCbkx6nn++8WMedW3LH1eOVadHzubVp5HpqqdQWcM3ipGkp3iIuLU7g+fJeXq8d4L9Wpg35mxqv5FgtP7oinx9ub6Sqx82drzRw9+V5kx5G9AVl3m2002H3YdSqUUnQMuBFpZLo9qrJz88FhmfTtbS04HQ6h2TTWSwWzGbzjITOJsVq+dSaNP74bjsPvdvGb64vmvBw72CKopAco6Eg2Uhdr4cOmx+YG7tK3LQsmQMtdp4v7+PqxUlT6jE+VTbdgQMHePXVV+nq6opOx/jzn//M5s2bWbp0qVj1Oglz5oxFIjeASUVujCUkK/x9f3jo8BNrMqITvUdzcVEiZe0O7r2ycMjG9BD+wFZXV+PxeFiyZEn0g3wmufwhvvZsNd6ATFWXm4AsgyJzc26Q6jY/tU4tbcYszj9/aKr6oUOHiM1awL9rZGRFxefXpnPNkmSuXZIcnQD+570dvFE3gD8kkxSjweELsTLLTF2fh7pez7BjUalUwzZkH9yw9/X18Uh5O50ODQvioUDVS1dXMLrycbrv2BNjtJyfH8/u2n5eqewbd7K8EgoQqn2DQOkzhBr3Ago9UhqFmkYqVQUcUy1EQ4ggatbIZWgGFXPtUioPaL9EjyqFoCKhlhRi9BquXpw04s+Xk2DgM2szuH9HEwNeH+kmHWYtHOyVKWl3jbsHQSVJfGdzDl+7IGvEHrZ1OXGUd7rY32yfcgE3Eq1WS1JSEklJ7/egejweSkpKAGhpaaGiomJYw379kkR2VPfzbqONyi73pAr1GJ2aH27J5RvP11Lb68UfVLh+STILL47hvSY7r9cMhPcnrrIin8jCq+/z8M1tddx+aQ5LM8Z3jo1qhW9ckDXtw4W5CQYWpMZQ1e3mUKtj0uHBCTFaHjhRxNX1ebjjlQbu2Zo35krn0eg1Kv732gIe3hveJcUXVPCHZEJBqBn0tz8T2XQTdfmCRN6qs3G8y8W/j3Tx6bWT28ZNURT+frCLlyr6uGpREnW9Hg63OYC5UcAtSotlUVosFV0u3qyzcWnx1CJ7TjY4m+43v/kNAG1tbTz99NPceeedvPDCC9xzzz3R0bTzzjuPdevWccUVVxAbO71blH0QzfoCbroiN8byeo2Vpn4vuYlGLi469XDsikwzD39k8ZBh00jkhs/nw2w2s3r16lmxQicYkrlvez0NfeELappZhz7gYs+eMoxGIz+8ooh7drby6MEOiq4oxGw243CEL0DvHqvidV0dARkuzTcMyaqK9ABsKU6kud9LVa+HwmQjzf1eSjucJMdqcftD2LzBU4ZyDm7YX6uy0uhrI9ms4kvrE1C8Dpqbm6N37CdHGkzHXdu1S5LCBVyFlZuWpYw5fChbmwiUPkOw/AUUt3XI9x7SfJxK1XwCaHlGfTk2yYxDiuWvvu9FCzgvOh7QfgmrOhl0JoxAUJGwGNRsGmUD+LfrB/jje+0YtBL+EHiDIRYlaul0BtleZZ3wENBoP9+6nDj+ur+D/S0OvjDCKuWJeKN2gOXzYofd4AwWadj1ej3p6elkZGQMa9hb2zt4tgF8Xj1BWcUf3m7gvsuyMZlMo14HfEGZzz1ZBYRX5gaCMp6gjNMXojDZSIxWRXa8nsQYLUatmosLE1iTZebzT1URksPzW8M7SkCb38dXn63ls+vS+eTqM3sztqU4gapuNzuq+yddwEG4t/X+rfnc/VojNT1ubn+5gfu25k8qPDdGF47tWZlp4g/vttPlCBGSoaLbTSAkj9qjM5lsuumMsFFJEl/emMnXttXwfHkfm+ZbKEqe3NxklRSenvJ8eS+xOjU9zgBI4XmHc8FNS5O5v8vFM6U9XFwUf9oXk2RmZrJ582YAtm3bhslkorKykn379rFv3z7uv/9+LrjgggkXcIqi8Nprr/HGG29wySWXcOmll475+JKSEv71r38N+/oPf/jDMz5PfbxmdQEXidzQarVTjtwYjT8o8+jBDgBuXTtv3Inig4s3l8tFWVkZHo8HnU7H/PnzZ6x4UxSFvY0DbCvr4cfXFA/73i/fbOZAsw1ZUdBIUBQX4siRIyxYsIDs7PDCi8+ep/Dwu6389PVGFq1ez/43XkNtjKPMvJoUb5ClSRI3Lhh5leY5GbHcfXk+332pnspuNykmHS6/D3cgvDrU6gmM2DC4/SEUGDIHp83m48/7wr+Lr1+YQ/GgbZQiDXtkfkV7ezter3fYysfJZBXNTzKyJC2GI20O3hrjLtTz3NdPrCQd7iX1RVSoilATIICGUlXkdyHxqmoDl8r7MOHBgJ+PxRzmn4YPY/fJxBnCvZaXFiUMW70WkhUeO9zFf0p6CIbCBdWW4gTea7RxuNOHosC+Zjv97sCYhdJ4pcfpyE0w0NTvpabHw4IJbOc12Jt1A/zyrRbyEg386Mr5E5pnFWnY4+LiaJct/O5wC2328JBUogFq+vw8/mYpOTEBvNo4UuNNFKbHY7FY0Op0tNv8lHY66XT4CYYUgvLQkOimfi8vfHbpsHPt8IXwnvjM6jUq1CoJb0DGf+I1UiZR3CiKwt4mO9vK+/jhlsktGhhsU76Fv+zr5FCrgz7XyH9X42XSq7n38jzu3dFERZeLH7xcz31X5E96N4ELC+JZkBLDj3Y1cbjNiaIo9DoDZAyas+gPyXQ5/GTHj1yAjZRNF1n5eDoibLLi9XxkeSqPHe7id3va+MU1hRMempYkiU+tCc+Z/sfBTvo9QYKhcPE/F3rgAFZnm8mON9Ay4OVA8+R7dydLpVKxePFiFi9ezKc//elJvcbhw4f5yEc+Ql5eHocPH0av15+ygDt+/Di//e1vufPOO4d8fS4tuJiVBVwgEKCqqoqOjo5pj9w42YvHe+h1+lmcbmLtCPtqjkWWZZqamqitrSUrKyscufHOO6flOE/W5wqws7qPZ4510djvRVHgD++08MWN7++G8PcD7bxeY8UXlNGqQI1CplFm06ZNGI3vF2TXnZNCZZeLt+r60W+8BdXed8j+0A8I6uNYnGrk5kznmHdlFqOGuy7L5bsv1tPl8OMPKXhdAQxaFQPu4LDHP1vaw98PdnHLmrToxNlgSOEXb7bgC8pctTiJ1SftgTn4jj1i8MrHyB07MOI2MWOxugNUdLtx+BX+tLeNS4riR47UiB15km+NlIsbAypC+DCgQkHm/QLhr9qP8gxXsUyuYoO+CeXcz2I/aCPOqOWey3LZ12wfdvfv8of43zdbONjiQKtWsS7HxL5mO+812tCoJbwBCIZACsrsrOmfdE7aydbmxNHU72Vfs33SBdy52WYKkozU9Xm4f0cTd18+PAJlLNU9bv66v5ODLQ68J/ZWmxen47/Py+C3e9o47EshMTOWvx3qZXGil+SGZhpsITp9GvxKePs7SYFIPKJWFS7KVmeZ+dDy1BGPJdOi5z+3nIM9ui1Y+L9Wd4DSDhcXT2I3CEmS2FHdT0WXi2fLevn4qslt/B5h1IZ7aXdUW9lV28+Hp/g7j9GpueuyXB7Y2Uxph5MfvNzAfVvzSDPrKOn243bJLJ3A66XH6fjfawt59FAnH1+Vik7zflHV5fDzzedrMes1/OGmonFdzyVJwmQyYTKZTluEzY1LU9jTYKPR6mVbeS83LZtcNuRNy1KI0an443vtuHzhm4Zup39SrzXTVJLEDUuT+c3brfyntIe1OeY5VcQAJCQk8Oqrr1JQUEBhYeGpn3CC0Wjke9/73mk8stNr1hVwoVCIPXv2zEjkhtMX5InD4cnyn1k3b0IfWrvdTllZGaFQiDVr1gzJSjpdgrLCcatMSeMAx/t6cZ7oNVAArUpi0aC5QS+W9/DkkS4CQRmtpKBCRqPRcPm5C4cUbxC+UH7twhyarB7KXakU/M/v0RjN+HpbuCo5EY3q1Hf6GXF67tgSjmxwB0LIsoIkQb9neAGXbg5v4VTd8/48mX8f7aKu10NugoFbxrnKTq/Xk5KSQkpK+KI7+I7dZrNRX1+Py+WK3rFHenBDoVB0svTRNif37WikxxU+zj5XgGOjzCvTLruJ4LGnhn39Cc1VlKuKCaAhMOxPSiFXbsUuxXFYfQ4H1RtxvGNFo5K4aVkCOQkG6vq8PLCrmQ8vT+HDK1Lpcvh5YGcTbTYfSbFavn9xDkUpMdT0uPn7wS5KO5zICgRk8PtCPF/ey41LU6a8ZyiEIyueOtbN/mbHpFY7won5ZpeFF14c7zoRgXJxzil7Nzodfv55qIu36gdw+EIEQ+GdJXLidfzyuiJKOpxYDBpqe910OfzY/DKHuiVMJwp0RaWQYZTw+IN0eRT0KoVEA1yQrWdLUQIZyfFjXk80aonEGO2wWJHRtrkaj0+tSedIm5Pnynq5YmHiiJElE7GlOIEd1VZ2Vvf/f/bOO0yuunz7n3Omz85s7303m95DGqQQEkIVUVAQEQv2hr1hA6yoWH+KBVFEBER6T++9Z7Ob7b3N7PQ+c8r7x9kddpPtiaKv3tfFpSxTzsycc77P9ymfm40zMnil1k2GRc91s6dmZWUx6PjmxjJ+sLWd410B7n6lhXctyuXBY0FyzArvmABOZaj0OmHEfrJcm4F0i55Ob4wzvWHmFUytv2kshM1gL925CJtEIoEknX8fGjzeT60u4ssvNfP4cQeXlqdOCdMCcO2sLFKMOr6/pY1gXKHdez5r8d9Vl1em89ixPuocYWr6wszN/8/qP6uoqJjS82KxGD/60Y9QFIWFCxdyzTXX/EcFr/82AVw8HqehoQFJkv5lyI2nTzoIxGRWlKUxJ39i5VlFUWhqaqKlpYWKigoqKyv/JeDCvx/v5flqJw6fgkKU6JDsfKpJx4/eOoMlJVoG8UCrlwf3dmhehnICnaDDaDCi14lU5Yx8YVoMOr6+sYLb/+LHnFNK3Oug/cnvUDP7blasWDGhY5yRY+VL60q4b3MbnoiEnFDoDyXOe9xgZuesI5zkbV1emc7p7hCfWFU0ZRDmWDt2n8+Hz+cDYN++fVhSbBzwWNnULhGMa6maNJNWOnv+TP+IAZwubxZi3hyUvhoAZEROirPwkEoUIyIyWteVdt4KqOSqLn6V+C5hQwYnVvyC31SLqPEEAvDMaSev17nJsxuRFZUnTzg43Rsi26qnyxdjVq6Vr64vTZZHp+dY+c415RztDPKHvW00uBLEVWh1x9jZ5JlQ/+Z4mpZtISvFQIc3OmXmGGgIlHuHIFB+taeTz6wtHjOT+4vdnZzuDhFKyAiq1luUataTazNyx+O1RBIKJr1ATFaJhxIIghYs3rY4j5m5FmbkWEkx6mh2RfjjwR6unp7KdLtMMODH199LZ0vDBbPpJqvyTDPrq9LZ0uDhsWN9F4yqmZFjSZa5j3UG+fsJB9OyLVMO4EDLTt69oYQf7+jkULufx471km4WcETgeFeQJcUXPtAiCAIbZ2Typ0M9bK53TzmAG+l1x0PYxGIxzp49S2tr63kIG1EUmZFj5YY5Wbxwpp9f7+niO9dWTLkPbG1lOmxQ+dmuLj72b+iNOpr0OoG3zs3mT4d6eOa08z8ugJuq8vLy6OnpQVEUfvrTnzJr1ixef/3185Ic/6560wM4VVXp6emhtrYWu92O0WikuPji+AiOJVcowbOnHYiC1vs2EXk8Hqqrq9HpdKxcuXLYJOVoUlWVu54+i14ncN+107Cbp7YDd4UTuMMJjCKEZA10C1ovy9c2ViSDNwA5EUeVEhSZJLoFE/MKU6npDVKZZRkzONrT4htoDFcQdHr01jSOHj064QAOYFlpKp9aXcT3t7Qhqxqt/t3nlI4yrQZybEacwTiukES2zUBphpn731I5paBdktVRsztDd+ySJLFr1y6q5i3mF3t7qXHECA30PRkFeGupwpZukSPtPpqdQSrPcWhXVQUhrQhHXy87dSvYoVuBR0hFBUQUZHTYCSOhI4YBdbCMKurJvPH79LvzUFUHs3K1BWNrg4cmV5RALIysqIRllSMdAdLMetZUpPGZtcXnNYELgoa/yFudzus1Tp5qEclKMVyURRa0csryklRePeviYJt/0mwogB2NHp444eAXb6vinqvKufuVFnY0ebGb9Xxwef6ov/GcXCvHOwOYdJrLRqbFwOWVaWxr9CAKwkCGUSDPpicck1AQMOlFblmUM2zBrcyy8L3rKt944Xzt/BuNTTeIsBksv401IDEVvXtJHrtafGxr8PLWudlTBkb/cncnB9r8XFZmp9UdYW+LtiGRL9RSAjjaGcQflajKttDgDKMoWh/XC2dcF+3cWjctnUeP9rKv1c+HV8oX5EMbjsuj9hSei7AJh8MUFRVhNBqTCJuWlhZkWU62W2wosrGvRU91b4gt9R5WVaRR0xfCYtAxb5LBzNppGaypHLkN499ZV83QfHePdAS0ob6LiMH5d9SqVauoqalJbuC++tWvMm/ePO6//37uueeeN/fgJqg3NYCLRCKcPn0an8/H3LlzMZvNHD9+/F/y3o8f6yEuKVw5M4uyzLGjbUmSaGhooLOzk6qqKsrKyiZ0g1dUlQe2tXGo3Y8KPHygi8+sK5/S8c7OS2F3kwenP4FBgIiq2feoKvzf7g72tnhZXppGoegn3N7Epxfn8tszCnqdyvuWF9LuiWA1jH7D3Fzn4i+HuzHrIdpwGCmziuKbvkT1oUc40a/S2RXka8UTK6dcPTOT/a0+mlzRUft+ZuZYcAbjnHWGWW3T+tqmcsPb3+rjz4d7+e61FRMy024J6Xl4cw++qExCFQYCWoGqLCPXzrERkD1s65D43ZbTvK2c5KJuUQKc2P40W71VVJuuTb5epdLBavkQr+qvwIedm+XXKFF6uMd4F1HMRAQTpuu+S4NlAU+dbEEnCnz5ilKqsi1srvcAEJc1H1hJVlFRiSTiPH/GhVEvctcopHhREFiaK3D7FfNQVS0TFYrLOIJxKsY5n8fT8lI7r551cag9MOkA7nhXgHs3tZFQVD76VD1/vm0239xYxrdeb+HFM/2kmnXn9W4pKjxdG2RzaxSjTsBs0BOTFD5+WSELCm1cOSOTqmwLx7sC/HRnJxFJIa4IA76eCu6BTcB4mgib7tyFffD3vxCETVaKgRvnZvPUSQd/OdLLNzeWT/o1ZEXh5VoX4YTCM9VxFEVlT6sXoygy4CZ3Qdre5OWsIwyAikBUUkkocLjDT7snOiqLcTJKt+hZXpLKvlYfO5u8XD9nallDZzDO3a+0cNXMjAn3fup0uhERNoO/vbOni8tsUf7htfK7PW14XFYeq42xrMTOvPzJl+f+VcGbJKsc6vBP2nt2JFmNOq6bncVTJx08e7qfz6795ydS3kwNTj8PqqCggGuvvZZdu3a9SUc0eb2pAVxraytGo5HVq1djNBrxer3/kvft8sV4rdaFQSdwx9Kx+T/9/f1UV2vIjcsuu2zCo82SovLzHW28VONEBYw6gZsWTr6nKJpQ+POhLl6odgJQYAV3QiRdL7Co0I4oClT3BNnf4mVXvfaYWXn5KF490USYa2dnM7/ANibH6liHn1/uagfgPXMsbD92hl2tYVLKF+CbcTWb2mW8iTj1k5hM/PZV5WPexGbmWtnT4qPOER4VnzER7W310xuIc//2Dr5/XcWYCBBJVtnisBBCRhTAogdZFTHoBO5cUURpSSofyMxn31N1NMWN5Jfl0t3v49UdhznqMRHiMhDBqkZZrRxhnXyAclXjB85ItGFXw+SgoUVWy0fYoluNzmghXrmanz7fiKKqvPeSfKoGYL3lmWb0OgF/VMYXkYhKCjFJJjpg+XSu2fxIGoRId3ijfPHFJnJSjPzq7VUXtIDML0jBYtBR6wjjjUgThhsfbvfzrddbSSha79rHB1wlZg6Ugr+7pY3HjvZhN+m4dpa2kAZjMo/WQ1MwjNmg51Ori1hcZGNfq5+rZmol4Xy7FphfWp7Gd60Gvrelje5EHElViSRkugOxYQFcQ7+G2lhekjouz240Nt3QJvmhbLqhJbjJIGxump/NpjqNen+yO8jCwslN1OtEkd/cNIMvv9yEKyShAuG4SgSZZneEbY0eLi1LPQ8qLivqhHojv7SuhN0tPl4446LFFUFFC6z9UZnf7uvm+9dXjvsaE9HGGRnsa/Wxqd7NdbMzp3SetnliuCMJ/nq0j4Ssctvi3Em/zkhsujnRBM7d7expDXKgM0xCUjnV3s+BA33/EjbdZKWqKvdu1qwA795QdlGmR98yJ4vnq/vZ1ezl9iW5NLmi9IcSXDk944Jgx/8pkmWZaDT6Zh/GhPWmBnCzZs1CUS7C9nGSeuxYH4qq8ra5uaNmbRKJBGfPnqW3t3cYcmMikhSVH29tZXujNgEqACXpZorTJ9dPVNMb5IHtbfT4Yxj1Iu9fXkhepI0Xu4zkZ6Xz6TUlqKrKmfomtlV30EMGjQGRBlccX1TbTR/p8PHbvR2sKEtjfoEtiT851OZjW4ObK2dk8oMtLciKyp0riphv8VI7fQHxvfUYM4uwli1AJ0UAGzuavBMO4Mb7rmbkaK9T5wxP6jsZVCgmkWLS88lVhQPYizAPHejhE6uKRn2OXidwXX6I7QEb/aEE6VYj/qjEnLyU5EKflWJgZVkq2xo8fHNrH/6AD2QtwJyjNLJOPshy5SRGhjdFV6qdw/7909Kj3DzLwvxrPszPdnbgCMSZX2Dj7fPfaIj//OVv7ABVVSUqKfiiMr5Igqb+CEuKJl66KkozkWXVetcutG/JoBO5pNjGnhYfRzoCE4J77mr28uPtHQRjMgIwLcs8bKp7cZGdz60t4Sc7Ovjd/h7sJj1lGSa+v6WdNh9kpYh8+5rKZHB7zayR+/lm5lr50Vum8a3XW6jpCxOVVE52BVkwZIPS4ory+lk3kYQyaSDxWNDZsRA24/XSWY06bl2Uy+8PdPPI4V5+8tZpk+6zmpZt4Zdvm85XX27GGYwTjisoaOXEX+zq5HcGkVXlaayvymBOvhVVhR9sbaciy8xti3PHfD+DTmR9VQZXTEunujfE3w62c7A7RlwBX1SakDfsRLSw0EaOzUirO0qTK5r8vSejpSV2vra+jB9ua+fJEw7issr7luZd0PGF4zJffKmF+QUppFtjNAdl7BaRmKSQU5wDsdAwNt3Q3z0tLe1NcdoRBIH1Vemc6g7y2/3dzCtIuWBrtHSLng3TM3j1rIvnz7g43ROk1R3lkmIbBYY3103oQnXixAmeeOKJJOdt7969rFq1KvnfW1paeOWVV7jrrrvexKOcnN7UAO7N6BGIK9Duj2E16rhl8cgZsd7eXmpra0lNTT0PuTGeJAV+vrePE71RYpKCWa+ZuS8tTZ3w541JCo8e7ubZUw5UYFZeCl9YV0ZRupmjRzv48JI0SktKkpOwqqryviuXkJ6ejiQrfOXFBo52+LGb9LjDEi9UO3mh2onVqOOSklRWlKby9EkHTa4IL55xYtQJ3Lwgj5sX5lJX56HRPp+MxRUkfE5UVaUzosNgVNnd7OPO5fkXxaB7WpaWfWpyRcYEfo6kx4718vv9PWyckcE3Npbz1fWlfOGFJl6vczMjxzpqwKGoKke9ZlwxicI0M7cszOHvJ53JqdezjjBb6j0cGLCrisQS5KpBLMRYJR/hdvnF819z9luRPJ0Ye48N+7tUtJLMedfy+pledjR5sZl0fHbN6E38giBgMeiwGHTk243MzJ1c340oCNwwN4vf7uvm+TP9F9y3tKIslT0tPg62+8cN4DbVufn13i4CMRmdACaDyDsWnp8VWV2RRiAm8dt93fxwWxsGUURWFHIscE1VyoQX8/xUIw+8dRof+Xs9mSl61lWlD/vvy0o0DMLRjsCY/ZET1UgIm3g8PqyXbnBhB2hqako+fujCfvXMTF6qcdHkirC72cfl09LPfatxVZRm4psD096RRBxBhQyLgSXFNo51Btna4GFrg4c8u5H5BSkc7QxwuMNPpzfGZ9cWjzsgJAgC8wtsfOISOxsLEpyKZvKZtcUX7V6tEwU2TE/nieMONte7qcoefcM1lpaW2PnmxjK+u6WNZ087icsKH1pRMOXhg0ZXhP5wgtfr3KRb9MiKSiAmY9AJ+EhhyTTtHvHPZtNNVuumpbOjycuJriCPHukb5qU8FfWHEmyoSuf1Ojeb6txUZmml80BMZmpeFf8aeTwe7r//fkDjx27ZsoVoNEplZSUf+chHAKiurub+++/ni1/8IlarlRdffJFPfvKTrFixgmg0ynPPPcfatWv/o7Aib/oQw79aRhF+/rYqekPyeR6AsViMmpoa3G43s2fPpqCgYFI3rmhC4clWA+3RMEa9DvMAEBRg4QSzKWf7Qvx0Rxud3qhW4l1WyNvn5w4rgwiqSmNDPW1tbVRWVlJZWZlM6Tf2R6jt0zxd//iuOXiiEofafBxo9XG2L8TuJg+7m7TeK6tBJBiDhKxS3RvkdE8QkyDwgYV2PvfYGUw5ZQiinoQMKCq+qMSRzgCXll14v4VBJzIty0KdI0yzKzrhzN6xzgB/PNiLrGr/H7RF7TNri/jh1nZ+u7+bikwz00YIBv5y1EFdwEB2qsa/Kkg1cfm0dHSiQExSuG9TK8FogngsTJYSIioYWSsfYrN+NU5heL+OkFqA6Zp70ZcuR5UTxDZ9B+nMCwDIRcsILv0UrR0OHjyt9WtdVSrg7W1DnSCbbipaX5XBY0cdnOgKXnATsihoPZYnuoP0BmKc6g6RZzeeV/p7vrqfhw/1EE4oGHUgKQJpZj1XnBNUDeqamZnsbvaxu8WHgMzq8jROdPp4oT7EO5ZNPJC3m/Q8evts9COUBzOsBmbkaOfWmb7QpMuVE5HRaDwPYeP1ejl+/DiSJNHS0jIMYTNYfnvPkhx+tKOTvx7t47Ly1ClthmbkaCXpr73STCiuEE7IfHNjOe5wgh1NXrbWe+j0xegLxJEUDUS8o8lLbyDONzeWTRhlkmMV+eyKkvEfOEldOT2DJ0842dXs4wPLCqZcmltYaOPbV5Xz3c1tvFzjIiGrfPyywikFcQsKbPz0rdP4yY4OWt1RYrKKrKhIskCzK5rcEE1k0n0om25oyX2ibLrJSBAEPn5ZEXc928CrZ12snZbGnLypTZD6IhLfeq0FQYAlRTaOdAZwD3A8/92hxKIokp6eDsBXvvKV5N+Hwv8XL17MD37wg2Qb1A9/+EPuvPNOdu/eDcCnPvUpli1b9q876Iug/7oADkAvClRmvREwqKpKV1cXdXV1ZGVlsWbNmimhBXY2uWkOiuTY9UQkbRE0G0SiCYVF4wRwCVnhsaM9/ONEH4qq3aQ/d0UZZRnDA5F4PE5zczMWi4VLL710WEO2qqr8+VAXALcsziPVYiDVYqAsw8I7F+XjjSR4+Uw/2xvddHqi+KMSBp1AVFI41R3krqfPMjdL5N2zjBj2PYS7cDmZy25AQcssBmIyW+s9FyWAA5iZo3k71jvDEwrgml0RvruljcQAH+zaIeiES8vSuHlBDk+fcvLD7e08cMO0YQH6C2f6ebHGjV5QufuKYgoG8BiDgbFJL3JDrpvX6930q6msUE6yX7eYE+IcALzCG+VA/fy3Y1r3BQSTdnMQdAZM19yLYMtGbj9Mys2/JEVv5qH6FlR9iCvLbWycZTqPTXcu0uBCd+wmvcg1szJ56qSDF6r7+fQoAxDjyRGM84Ot7UQlBVWVeeiAZq+1vCR1WDB0uMPPw4d6kBQVnaD1aZn0AuumpY9YyokmFH65p5PqniAWvYAoCLR7YxRYwRFT2N/m1zAME9RIwdugVpSmUucIc6DNf0EBXDgu81qdm7fNyx4zMBAEIbkwzJw5E1EUhy3sXq+XEw0d/LHRhEkn0O2V+duBFt6xKH/MhX1rg4ff7usGQZs8j8vqQK+kwg1zMtlc7+XKAchwptXATfNz0IsCfz7ci6yoxCRFC0RUONIR4F2P1vDHW2ZSMsXg/mKUUnNsRhYX2TjWGWBvq48NU4AkD2pefgr3XF3OfZta2VTnJiGrfGp10ZjnxmgqSTfz4xum8eiRPp6r7scbkYijcqDNxzsWjj7MMx6brru7m7q6un8awibfbuT2JXk8fKiHX+/t4mc3Vo3ZCzyadKKAzaSjzhHGH5WRFZUuXwy9KBCM/3sHcGlpaeNmzubOncvcuXOH/W3GjBnMmDFjlGf8++u/MoAbqnA4zJkzZwgGg8yfPz/JEpqKrpqZxbHTZwkajRzvjbK0JI2jnX6K0s1kp4x+oTY4w/x0Rxtt7gh6URusuHlR3rCbkCRJ1NXV4fP5yMvLY9GiRefdSI92+DnVHSTTauCGued/jnSLgVSznm5fDEEUEFRtUVBVrbwYVlQO9yqcdUnMmzObp5/+M8Hm45S9/YvockqRFJXtTV42zvCxr1UrrU3U5Hskzcy1whmtdHnDXAjEJP5woIdMq573LxuesO8LxLlvUyveiIQogEkvnMeSeveSPBr6I5zqDvLTnZ18c2MZOlFgT4uPhw/1Igjw1oLweaU6NeontvWH3FD7ChXCdO43fpT9uiVY1Ah9YhYKOryCHSElB9PV30JfuSb5XEVV6fbFKUozYlpzF6oUQ9CbeOaEg5q+EAWpJj6xphSLQTdsxz5YgvF6vbS3t5NIJLDZbMNKMFPZsV83O5MnT/SyrdHDe5bmTdqkXFZU7n29laikoBcEQgNOD5ICO5o8bJieziUldow6kSVFdi4rT+Nguw9JBqNeR0JWuHb2+f1rfYE439/aRqs7iqxCfqqJfLuRs30hBAUU4PWz7kkFcGNpRWkqfznSy6F2Px9ZOblM+lA9MOCG0R9K8OEVk3udwYXdYE3l9Z4+nqhXSMgqogQ2vcrztT5yox1EFB0RnY0lxankZGqLewId9c4we1t8uCMJJFkbbBkKDAnEZF750ILzSsTRgaANNKu6uKwSS8jEVS3bXjAFtl8oLvPEcQfhuDzljcFQbZyRwbHOAFvqPRcUwAHMyrVy3zUV3PN6K9sbPSRkhc+tLZlS6dyoE/ngigIWFdm49/VW3BEpaQs4VF2+GBaDOGI2czQ23aDH7z8DYfOWOVnsbvHR4Azzj5PO89BNE5Fmr1bBD7a1caIriKSoJBQVgygSiP57B3D/rfqvDeBUVaWtrY2GhgYKCwtZtGhRks4/1V2mIAgUWhUebw9jMxu4eVEuFqNIUdrIu11JVnjieB9PHOtFUVWmZVv4/LpyKrKGBxgOh4OamhpSUlLIzMwkKyvrvONTVJU/HdImIt+zdPSyxPQcK7ctyScQkwnGJIIxmWBMxhmM4wjG8UUkZmfpKZ4/n6effppQy0nqfvsp7vjFSxx3KsQklW0NXg60+zEZxAsL4HIsqKrKia4g929rZ2uDh3BCQRRgw/SMpGdiICZx3+ZWHEENCqwTtenLmTnDs3Z6UeCLl5fwuRcaOd4V4MkTDhYU2vjZrg5UVeVjK/Mx9TqH/wbNe4htuhc1qP19ntrARxJP8KDh3fgFOyoqCYz4jPlY3vsUojV92PM/93wjre4oD90ykxybEUFvos4R5okTDnSiwOcvLz5vMlCv15OZmUlmphboqKpKNBpN3tyH7tiH3txTU1OT5+hoOtUdxBtRUFH465EePr2mdMK/RyQhc7gjQIbVgKpCfCAIGHCzIiqpfG9LK3azNuixqjyVQEwzL19XlcHb5mWzu9mH3TT8tlLdE+L+7e34oxLlmdpv2uqO4otI6ESRYExGFhRO94bo9MYmPewzkorTTRSmmej2xWhxR6nMmhpa5V2LcqnuDfFyjYs0s55bF018g5eQFV6pdfPYsT76AnFkVUM837EkD1dEYn+rjx7bDGp7A5zpi9AdCeEOuWkPqngSegRBQEFAQAvcdKKAXhTIsxu4dlYmN87NHjFIuWVhLjfNzyEUkwnE5KQ9WLcvSmKKPYEJWWVzvYdIQua62VkjtihMRstLUkkz66npuzi/eVW2he9eW8G3XmthT4uPhKzypStKCMZltnULvC1XZjJb80uK7Tx860wOtvu5fs5wJ44Xz/Tz0MEebl6QM2G3kqHX8qAuJsJGJwp8clUhX3ihiX+ccnJZeVryWpuMzAaRb1xZxk93drKr2UsoriAJ2jn0P/376b8ygAuFQtTV1RGPx1myZEkSIQDaTfedfzpFeaaZL64vp3gU4+WRJMkKr3ZpC+x7lxWwqCiVRUUjj3Y3u8L8dHsbza4IOlHg9ksKuHVRXnJKFLRyaW1tLU6nM+lOcezYsRFfb2ejhxZXhKJ0M1fOHJ2vNCsvhVlj9EicPXuWhCTRljov+Tc57GOjtYPKBQtZUmRjRk4KB9r9HGzz89GVhVOycOoPJdjWqAVsnkiMTn8sybMqTDWSbdVOzbis8P0t7XR6YwgCWPQCMiK5NuOIu980iz7ZH/S3Y33845QTWVG5dVEuG2dksEtzTkONBYnteADp9LPnvcYa5QhuKY0n9G8hINhQ0BE1pBDV2zm30FucZqLVHaXOGSHHZiQhK/xsVyeyonL7JXnJaduxJAgCFosFi8VCXt4b0NnBHbvP56Ovr49IJJLcsauqiiRJKIqCKIokZIWHD/XyxAlHMkuzp8XPRy9TJlxOScgqD+zoQFK0/h/5HD6sSS8wI8dKszvGtgYPr9S4iEoK6RY9ayvTKE43cdYZZvNzHj6zpoilJXZeqXXzx0M9yIrKmsp0Pr26CINOy4o+erQPRyBOYsC31B+Veammn49dNrXG9nO1ojSVZ087Odjun3IANz3Hyt0byrhvcyt/O6YhUMZzPVBVVft8R3rp8MYIxmVUVfNkfefCXFaUp1LbG2J7o8Jjxx3oBIGIpLK1S8Wk1+43djOU2KCmX0JUFVJ0MDsD1pdbWVqWoS3sY4Bw9aJAmkVPmkUPDAZHU8dMpFv03LQgm8eO9vHnI73cd/XYmKDxpNcJrJ+ewbOnnWxp8LCgIIVjXUGWl9qHTRRPRuWZZr53XQXfeq2Vg+1+frC1HbtJx44egfT0MDMmvpcBINtmPC94A5Kb1m2NXt69OG/KQzJjIWwGe+mGImysVmvyuh8JYVORaeHt87P5x0knv9nbxQ+ur5zSvdmgE/nCuhIsBpGnTzmRVTjVHeK2xVP6mP/TP1H/VQHcILLk8OHDlJaWMn369PP6jv5vdwfd/hjd/hitrsikArjnTjvpjwlMyzZy3ZzReyZ2NXn4ybZWJEWlPNPCF64oY1r28J683t5eampqyMjIYPXq1ZjNox+HJCs8eqQHgPctK5hS/8egBEFAJ4rMmjVr2N/b2lr57KfeksxOVmRZaHFFOOuYnG+eNyLxqz2dHOsMoqhail5FW8D1IszJS+EnN0zDYtShqCo/29lJTV+IFKOOQExKoj9m5Iy+IM/IsXLbojx+tbcTYjLXzMrktsW5mrUYoHQcIbzlPlR/z6iv8VZ5K57MhbwQWUBY0nhjnoh0Hv39XJ6dQSdyxyV57GzycvMUXAwGNXTHPuhMMrhj9/l8OJ1OwuEwu3btIm6w8Uy7kQbvQIlOgKJUE+GEzM4mLxtnjG+x5Q4n2NqgOR4kZBmdCPKQqolRJ/C2edl8enUx7nCCZ087eeyYFiwmZJXvbG4j06pHL4p4IxLf3dLGNbMyOdoZQFE1T9Cb5mcnF/21lelcWpbKq2fdPHKgg/6oht956qSTO1cUTKmH51ytHAjgDrT5uW3x1I3kFxba+MLlJfx4ewe/P9CD3aRjzRilXmcowc92dhCMy8QHMEImg0h2ioHD7X6ePOEAtCAmLmv9g3pBC45vnJfNrFwrBalGREHg6VNOfBGJKyqsWJTIeQv70H6qybLpJqsb52bzaq2bU91BjnUFueQCJ503VKXz7Gkn2xo8GHUCL57pJ8uqn3IAB1of23evLefbr7dxtDPAtGwLKrC9Ncz7LlOmbNM3VOWZZq1/1xnmaGfgovDXYHyEjcejDZ/t2rXrPITNIJvu1kW57Gv1U+cM8+pZN2+ZIixZLwp8enUR/cEEEUnmE6v+c2zB/pv0XxPA+Xw+Tp8+DcCSJUvIzj5/Z7Wn2cOLA8Bco04gN3XiDabOYJy/HdUCgjsvyR4ziJqdl4LFIHLdnBxuvyR/WNYtGo1y5syZpDtFXt74fKNXa130+mPMzE1hVUX6hI95LJWVlaHX65Mm0K2trTiDcT74ZB1vn5/NihI7La4I+9v8kwrgbCYdLe4oggAiAiIwGCeUppv5zjUVySBJQMvGpVn0iGiojKpsC8c6A8waY+ghFJfZ1ezFIIooqkqPP0ZcVhETUUo7niVxbPfYB2myYd7wNT4281r6NrWxvclLVFLp8EYpShte6pk5As9uVUUaq6YAJ1YHAtrRgpehO3aTyYTD4cBjKeIPB3rxROQkQDfNoHJtUZy/N8EzJ3pZV2EfsfQqKSrHOgNsqvNwrCugNbsrKqIgYtCpmPUCMVkrm8uqmjynU4w6jnYGB4C8maRa9Gyu8+AMxgHNVSKUgGdP91OcbuLjlxZy9QhcN4NO5K1zs8kOd3DAm8LzDSFuvyTvgjYgQzU9x0K6RU+rO0pfIE6efXIN46qq8tnnG5mebeGTq4r4+GWFWpP4rk5SjLpRUS12k45cm5GQOzLQr6ljZq4FWVFp90SxGnXEZQWTTsSs1/oO9aJIZZblvH6wmxcM3QSkTZpNdzGhsya9yO1L8vjVnk4eOdzLokLblDI8CVnhvY/XkmszUpFppsUdpdOnGb9fBFcw/nrUQWm6ibik0NQfQQACcYWdTd4kHPpCdeWMDOqcGjD6QgM4f1Q6j4gwqKEIm5ycHA4cOMBll102rJfuXDbdu2db+MmBGI8e7WV5qZ1IQqG2L8zSEjvZKRPviRUEgfuunZpJ/P/0r9H/9wGcLMs0NjbS1tZGeXk5wWBwRA/THn+MX+xsJyYp6AStx2oyUMTf7+skKiksypCZnj121i7HZuSPt83FNqRXSFVVOjs7qaurIzc3N+lOMZ7CcZnHj2mB4wdWFF60MXWDwUB5eTmNjY0ANPW4+eQzDbgjEg8f6uV375jOEyc0K6ux/C3PkwqLCm1sb/RoC5dOIKFoDdrOYJxPPdvAitJUlpfaWVRo446l+Rj1An87pnmIvm9pHkuKbKMunpKs8sNt7bR5oszLt6Ko0OaJ8n+bTvLOzh+zM1ROqm4t18oj26Xoyi/DdPW3Ee1axuYbG8tockVYVJQyYtBYeQE8u6GKSQoP7uvGF5X45saycVEICVnlxTY46u4jJmn2R/qB3sBb56ezOl9lS6eHVneEv7y2n3m5b3CqIqKV/V0xtjV6cYe1vkKTXuSKaenMzLXym30aiuUTqwrZ1uDlsWN9yMobKIE/HuqhyxdjZo6VD60opMsf48njDhAE4pJKfMCrV5JV6p0Rvr+tjTl51lEnHy16uG2enY+srUxeE/XOMDk2w6SHMIZKJ2q+sVvqPRzuCEwqGyErKj/a3s7RziBHO4NMy7Jw7ewsAjGZvxzp5Yfb2rnvmorzzglvQuBrr7TS7Y+RYdETTihkWg1888pyPJEEaRY9mRY9fz7Sx4tn+olKysB0qUyPPzbxzzYCm25w8nHowg4ke6rSLgLC5oqqdF4400+bJ8r2Ru+EIM/nam+Lny5fnE5fHKNOQFE0Fw8VbVNxIQrGZI53BYkkZBRVe72YDIqs8Gx1PxtnZFyUe+TqijT+eKiHo50BXKEEWZMIjIZqS72Hhw/18I2NZRPGf5hMpvMQNoNsOp/PhzHgYpZF4ZTPyA9fqSEjxcjhXonPrS3miukXJ4D9n/499P91AOd2u6mursZgMHDppZdisVhobm4+73EJWeGHW1rwRSWtUVgQMOiEMb1Dh+poh5+9LV7sJh0bCibW7Dk0eAuFQpw5c4ZwOMzChQuTF+ZE9OwpB96IxCUlqSwovDim04OaMWMGjY2NGDMK6Jv5NvSBOADTs83MybdRnG6i0xujsT/C9An0ejW7Ivxidyet7ih6nYBBJ+KJarZWRp3mv9gXiLO90cP2Rg96ncDs3BSqe0PJMlx5poXyc7w+B8u6qqryyz2dnOoOkms38u2ryonFYnz+HyfZ2RTHLlXwkn4DWaqXq+XdiENn+gxWTFd8Af38m4bd4E16kb+9Z86on2koz67JFR0zMziWogmFUz1BXKEET55wjFvy6whIHHKATq/hakwGEVWFPLuRd16iAVtvW2bjt/u7adenc22ZnT3Nbnad6KPJp31uQRCoSDdwRWUqG2blkGHXjj3PbmRufgp6UaA03cyLNf34o9qCeLDNz+tn3VgMOj53eTF6nYBOEFhWkoo/KuEb+CcQk4lJWvbOIAoTalIfvCaeOungr0f7eOfCXN5zydRLn6CVUbfUezjY7p9wACfJKj/b1cHrdZotWppZx8aBzM1N87PxRyWeq+7nO5tb+f51lUne3uneEI+221F0UaZlW7h7fRmucAJRhGybYZjd14dWFJBnM/DQwR48EQlFhWbX+RY+r9a6ONge4KvrS8flpY23sA9F2AwN6CaDsNGJAu9bls99m1p57FgfayrTJl2WXFeVzpfjpfxqTyfRhIKiQm8ggSBo2JSqbAsLC23nZWInAmW2mXT8/p0z2FTn4eVaF65QgtDAlHNNb4idTV7WVV3Y1CtozhqrK9LYUu9ha6PnPH/fiarJFSEUl7nn9Va+fmXZlJA3I7HpSmaG+erLLdT7EizQxUkkZLYdO0uKR/9PZ9P9T/86/X8ZwA0iN7q7u5k+fTplZWUIgpAsB56rhw900+AMa+BdQctmABPKwMUlhd/s6QDgAyuKsDi8Ez5ORVFoa2ujsbGRoqIilixZMqkeFm8kwTOn+gB4//KL36MwY8YMth6upvRd34aUbATAqIO107Qb4KVlaTzldbCvzT9mACfJKk+dcvDUSW2goDzTzGfXFrO90ctfjvRhM2qhlIDAnHwrV1SlD3hGhjjU7iciKRhEgT8c7GF5iZ1lJXamZVuSWapf7O6iINVIOK71fNlNeu65qpzUQCNPPP88a0NhXtWv41X9OrJVD/1CBmeFacxRtQyFWHwJ5mvuQ0yfWvP8UJ7dZAO4QEzCotcNG7544riDqmwLy0pGL81UphtYUwAH+wVUUcVu1hOMybxrUW5yQb2iKoM/He5hX1uAWqfmDAIGMu06LitJYWkOpBLG7+/l+OGmJJsuIzWVoF/Cbrdj0ut48OYZ5KQYCCcU7npO+84+vLIgiaMoTjfxjY1lw44vLiv4IzLuSAJ/VJrUIrGsJJW/Hu3jtTo371yYc0F9SwsKbZj0Imd6QwRjMrYxGv8Hj/sn2zvY3uRFVkAvwB2X5CeDCUEQeP8ybYp7a4OHe15v5QfXVXCkM8gfD3YTlQU2TE/j06u1IHpo0HaubpibTa7NyHe2tOGNSPQF40mLuEEdaPdzoivIie7ghLxxh2o86OxQhM250NlBV4mRtKTIxoJCG6e6gzx/pn9Kwctb5mRhMYj8cncnwbicxKS0uqPct6mVTKuBy6els74qndIMMx3eKPduauMTlxWO6zKSatbzjoU5vG1eNntbffxpbzPNAa08G5XOR4JMVRtnZLKl3sOWeg/vWJAzJYDwR1YWYNAJPF/dz3c3t/G1DaUX7KJypCPAAzs7uKIqg5drXDSERAxGHbItjbIy+6iT7heTTfc//Wv0/10ANxS5sWrVKqzWsRfUfS1enq92DPQdaTctnQg6QcA4gYXjHyf76BnoP7tqVha7HRM7zkAgwOnTp5FlmaVLlyYhkJNRqzuKThRYV5UxbAjiYimzYi5l716EPiUDBBBRsRp0zM/XMmCXlqXy1EkH+1v9vPeSkXv1Wt1RfrG7Mzlte+uiXG5ZmIteJ5C7yMjrZ924IxKDG2urQTM6v3ZWFt3+GB//Rz2qClkpelpcEVpcEZ484SDTamBZiZ2KTDM7mrzEJIVIQibVpOfr64vIOfNnmg88y98NX0bVQ77ipEfMwU0aKiK7dUuZQwfGNXdhWHIbgjD1IGGQZ1fnCMPc8R8/KElW+cATZ/FFZT6zpoi3zMnmwysKeXBfFz/b2ckDb502KrPLEZI54gQZlRvnZpNq0XO4PcD66RmE4zJ7WnxsrvfgjchEZRVPWKIwzYhOFPjSuhJmn1OuGY9N57LbefB4mEBUYnVFGutHcVoYlFEnkm0bO4AZTeWZZhYV2TjRFWR7o3dUX9SJyKQXWVxk40CbnyMdgfNst4YqmlD4/tY2jnQGksMH6VYDV88afm0KgsAnVhURiMkcbPPx0X/UD9w5VCqtCd4+N2vCQeeKslR+ckMlX3ihiXctysFwzvNWlKZyoivIoXb/pAO4kTQSdHYkhA1oZdrm5uZktm6wj1IQBN63NJ8vvNDIM6f6uWpGJumWyS8lG6Zn4I1I/OlQDz5Jy8QvKbYhKRob89nTTp497WR6jpUUg4gjGOc7m9v40IoCrp9ANlWvE7h8WjpWt4LLkINgtnH1rKk19Y+kmTkWSjPMtHuinO6ZmuOHIAh8YFk+Bp3AP046+d7WNr68rvSC+uqqe0OE4zIv17iwm/X4wnEiErR64uTm5o446f7PYNP9T/98/X8TwI2E3JjIrt8TSaATBdbPyOS12n7mFdg50xskZZydOmh9c08e70MU4JOrSya0A1MUhaamJlpaWigvL2fatGlTJvAvKrLz8G1ziZ/Le7gIqukNsi1Wgc7iQ0lEURUJwWgAWcVVf4zDvTbsdjsZJoFuX5RWd3QYv05SVJ473c/jJ/qQZJXSDDOfWVM8DKKbYtRxzaxM/n7SSUySEQWRoS1kL55xAXD9nCw+vbqIhv4Ih9r9HO4I0O6JJktcgqAt1JGEQlyS+McLz/GewBMU4OGuxJ95SH8rvWIuMjoSAsQxcdC4nE+841aMuRfepDsrOcgQmfBzVFXlRzva6QskUNFAtwBXz8yg3hlma4OHH25r50dvmXZeMOCLSPzqiI+QBFdMT+MDAx6Q71iQgyAIHO8N8eu9XUiKSqpZhxDTeuPm5qWwt9WXtMcZqvHYdE8f7+FoB9gNKqvtLlpapAmz6aait87N5kRXkBdr+rlqZsaUPS79UYl0ix5VVTnY7ifDqqfDG2NxkW3YQEooLnPfplZqHWFikoJRp01jr65IG7EPTy8K3Lk8n4PtftwRCZNOZP20VHY3JXj5rJu7ciY+2DMrN4UXPzh/xM+4vDSV3+3v5nCHNmQylaGBsTQawqapqQmPx0M0Gh1xYc9NS2NtZRq7mn08ecLBRy8dvwKgDGT1BN7wwb5pfjbucIK/Hu1DVsEgCvzw+kraPVG2NXrZ3uih3hECIKFAWFb49d4u2r1RPryycEIDL4IASwot5OZevOCNgc+wcUYGfzzYw+Z6z5QdPwRB4I5L8jHpRB471sf929v5/OUlrJ7CIBTA+5flMz3bwq/3duGPSIQSGhbIG5XoCyTIHxjOG49N53K5aGlpQVGU5EZu8JqfCJvuf/rn6z8+gJsscuNcXT8nh8VFqcky6BVVGVr/2zjlU1VV+e3eThKywlvm5lA1gR4wr9dLdXU1giCwcuXKEYcpJiubafI/oaqq7G3xMq/ARvoIi5MkSfx2cw0xVSTS04iloAop5EWXmsrC0izWXDYneZFXpYTYG4C/7TjB9dO0G3xItPLnUwEa+6PJwOJdi3NHbPC/YW42z59xEYzJ6EQV3cBNoccf4/U6N3qdwLuXaF6ws3KtzMq18t6l+fT64/zlSC+1jjB9gTiKKqNXJcJx2Mos9pru43p5O7dLz/PD+I950PBuzojTCWNDFUQ8ukx291tZafYjSVKSqTb4z6AEQUAQBERRRKfTIYoier0eg8GQ/N+sFD2ZVgPOYBx3ODEhr8lHj/axvdGLitb/t2GguVgQBD56aSEt7ijNrggP7uvmM2ve2IxEEwrf3dKGM6xQYYfPri1OLvyDj1lcbGdFaSoH2/2IgsDK0lROdAdxhLSBBW9k/D7NoQt72JDKzv4mTCaVz6/Jo9gcH5FNN3hzvxg79sVFNkrStdLZsc4gS0umVlZ6+pSTF8+4CMVltjd6CcQkTveE+MK6kmEB3O/2d3PWEUZVNdYgCOhEgetGcJUAbcjiB1vbUVSVFKMOvQD94QQCGn/vgyvkSQ1BjRagZqcYmJZtoal/8siec1XdG8IbkcYNDERRxGw2Y7FYmDNH6/8curD39/fzt8MdbO0zoUfg5TMOVuaqzCjMHHNh//brrZzqDiaHFSRZJS4r6ASB2XlWQjE5OSVammHm/cvyqe4N4YlISVswRVWJSfC3Y1rm/5HbZk0pkBgsEV9oELJuWjqPHOllf5sPf7Rg1GnSieiWRbkYdJoN2gM7OpBkdcyM8VhaVZHGzBwrP93VwbHOIEFZA7af6Q2Snzp6Rns0Nt3gtHN7ezvBYPBfjrD5n0bWf/Q3PhXkxkgy6ASOd/qxGnWsn5HFdXPHHyI40ObjcLuPdIue955j+3SuJEmioaGBzs5Opk2bRnl5+Zuakv77iT4eOdTNlTOz+Py6N3qXVFVNUsE/ML+Qmmg6P+vTvFXDHbWk5RaxsMA2bMf+jtQwh19uoltNISPTystnvbza6kVSVLLN8O7ZJubnS0RCQXQjLOzZKQauqErn6YH+uEELoMeOOZAVlbcO9Amdq/xUI65wAnc4gV5QiMcjqIqAih4JPUH0PKl7CxHVxCfkx/la4kFetN/K41yJPyESSag8dqyPNoeJsy6JTy5JmXJ2w2g0UpYq4gqp1PYGuawinZq+MD/d2cF9V1dQdE4D/yu1Lp466SQ2UKbLshooGfIYk17kK+tL+cILjWxv9DAzR5uAlBSVn+zooN4ZpsCm4z1VI0+96kWBu68s4+FDPTxf3U+dM4KsqDT1a6gTdyQx4ucIxCR8EXnYwEFMUnhgRyeSrHLzghxWVmn9TiOx6fr7+2lubkZRlGE0+ans2EVB4Ia5Wfx0RzvPVzunFMA19Ud4+nQ/yoADQjAus7vFh6wwYNlmYE6eFXGgr63ZFaHNEyXFpCeSUCjPNDN7hJ7GrQ0eHtzXTVySkWRYUJiCM5CgyRVDL2iBxo5G74TKfBPRitJUmgayz1MN4PpDCe7d1IqsqFgM4qQZboMLu0My87ujcc70ag0naSYBWYG/HOnl6ux6euJGTBYbK8u1xT3FZqcnKFPvDNPsihCMabgbdYgtmITKtzeWU5B2fruAiHY+C2gDCnFJJSrJSAqkWXRTut+fdYT548EeblqQfcG+zqlmPStLU9nT4mNnk5cb5p6Pp5qM3j4/B6NO5PcHuvn57k7isjJl9Em2zcB3rqngH6ecPLi3C1WA0Dm2YJKscqonOGrf3VA2XUGBts69GQib/2lk/UcGcFNFboymLfUuVLTm/PEmvUDLgvxubycAH1xZNGYWrL+/nzNnzmA2m7n00kux2aYOqZyKRrIF2zAjk78f72VLnYtrZmUxJ99GMBikurqaYDBITk4OSxbNZ/eONgzWVNyndxKoP0RpZRWLihYNe60ZuRYyrQbavHEeOKajzS2gMxi5cVY611WaiIYC4y7sb5+XzXOnnSQULTvU1B9hd7MXi0HHO8cwkb5udiYLhUb8jYcIqQaCWAkIKfQLmfQJmYRI4Wb5NVRBJDb7nayZ/Q5KAgK/PBKgL6zSHVQ41S/T5pPpk60syNVuOENvOqqqoqpqMjMnyzKJRAJJkkgkEqiqSjwepyRF5ZAs8+TRLn6/r5NWn4SswqeereeZ989L/gYH2/z84UAPkYSMSSciCDArz3pe8JhvN/L5y0v4zuY2HjrUQ3mmme2NXg53+MlKMfDpS6zIQfeYv/37l+XjCiXY0+JDURmwKRPwjlBCbXZF+NzzjczMsfKjG6Yl//7nw710eKNUZVt49wiTsSPt2MPhcDJbM7hjNxgM5zVLj7Vjj0kK2xo8hBIqO5t9NPVHJmXf1O6JcrJbY9X1+OOoA35Ug24fLe4od7/cRLbNyJqKNKbnWOkLJBAFga9cUYo68BqSomIYaNCUFJVHDvfywpl+ANZPz+REV4C6gcydrKrEZAFUhdfr3Fw3O/OilJlWlKbyt2N9HGwP8P5lk0D2DFF2ioHbFufyyGENgfKdqyuYlTfxvtkuX4y/HOllR5OXcFxBBawGkZ/dWMW9m9toDMm8Y/kifrm1A4tOpTPko9njpDMsIKkiICAjoKjaiJheJwz46dp456KcEYM3gB/dME07pxIK/qhmCeaPSdQ7wywfY8hnLPUF4tQ7w/zlSB/LilOn7KQwqKtmZiZ7Tt8y53ybw8nq+jlZGHQCv9nXza/3dpGQVa6bnUl1b5jd/SaumMRrDfYdV2aZKbCbzpsG/+orzZoX91urJnx9jYew6evrGxFhYzAYSE9Pn8TR/0/j6T8ugLsQ5MZIUlSVzQO9VBvHsKAaqieP9+IIxplXYGP9KFydRCLB2bNn6e3tZebMmZSUlPzLewaOtPv48osNXDkjk7s3Vib/np1i5N2XFPDHA1383+4OPrvIQFtrC8XFxaSlpaGqKjW9QbbUudALCn1b/4wUdBM1h5hxz7vPe5+sFD1Nrgh1jjAVmRY+s6ZoSJP8G0iDoQt7W1sboVAoubBnmUV6wwo9gRh/Oar5Xd00P3vUkoTi72H50XuQ2w+O+R1I9mJ8y78OObOwmkxYnC38/uY5/N8BJ19dX8rLZ908criXkw6JS6sml91QVZVYPMGxDh+1ngiBOJxwJJLZBVGAtcUGvF4vKSkpNHslfrKzg4SsoBO1BUwQGNVV4pJiO+9alMvjx/u4+5UW5IFy3bc2lmOIuHAGxz4+URD47NpivBGJ411BogkFQRBwj1BCLU03Y9CJNLnf4Nmd6gnySq0Lk17k85dPzBxcEARSUlJISUkZtmMPBALJ376rq4tYLJbcscdiMaLRaHKz0e6J8p3NbZx1DMCRVXi51sVdkzBRr+4N8ecjvcQSyohssdJ0I9kpBto8MZ497SQQ04KSxUU2cmwGJEXlB1sd7G7x8aV1JaQYdfx4RwenuoOY9CJ3rSlmdUUakYTM89UunqvuJxiTiClaAFfrCFPnCI9pWzdRlWWYyLMb6fHH6PDGKB2Fpzeebpqfgz8q8+xpJ/cNIFDG88v0RSSeOOHg9To3/qg8MMkMdpPIT2+o4nRviBk5FnY1+7h3c7sWaAG7enUIghnRAGUpOlJEmZPOBEZBxWZUuTRPZH2llZJcO6njANMFQSDFqHE5CwZitrEmtMfTmso0nq/up8kVYVO9e1xrtPE0vyCFXLuRNk+UemckyYa7c0XBpMroQ3XVzEwMOoFf7u7i9we6CSdknj/txBU00eKOUJE5OWu40b6vS4ptNAwAiS/E33YiCJuvfOUrtLe3M3/+fCortfUoHA5flFai/1b9xwRwF4rcGE3VPUF6/TFK0s0TQkCoqkZTFwWBT6weOShzu92cPHkSu93O6tWrsVguzPgZmDQkNhCVuO/1ZoIxmddq+4cFcAA3zsvh1TMO6nt9vFgt88ErlpGenq55xCYkHtyt9QSWhRs5PpDpaW9vP+99fri1ndq+MCqaX+Iv3lY14gTeeAv7rVVuer1R9IqfF1vtpJpElmUmCAaDpKSkJL9nVVWRqp8ntv3HEA+N+vlVBBKzb0K38qPkpWag1+uRZZnTp0+TajXx7asrUFSVS8tSeeRwLwfa/Xzk0oJJNcsf7gjw+wM9OINx5CGWYAJg1sEts61cXWHG7/fT1OvhgcMhYgmVDKsBf1Qi12bEEYwnhyBG0i2LctjV7OV0bwijTuDeq8spzzTT1TWxYzToRL62oYyvvtzM6Z4g0oAbwLnS6wSmZZk5O4RnNyc3hZsX5FCQajzPgWIy0ul0pKenD9t9D+7YfT4f8Xic1tZW2tvbaYjZebFdxBvTvk+TTiDFJLKz2csdl+SRMU5/oaKqnO4JcbDdT3wg2NAJJH1dBTSnhK+s15hb7Z4oP9vVyfEuLRpu6g/zqWcayLcbMYgCDc4In3u+iWtnZVLdEyLXZuTuK0uTC6jFoONdi3O5elYGTxzt5fnTDkKyQCSh8H97u/m/m6ZP+XsblCAIrChN5YUz/Rxs9085gAN439I8AlGJLQ0e7t3Uyg+uq0w2tY+k3S0+Xq5xEYzL2vABYDWKFKeZ+OJLTfhjMgZRQFZU4rLG/BMEeOvcHJaX2anKsmAdsMV7YEcHS0vsLMrREwkFLhqbbrISBY1l963XWnjiuIN109LH7XkeTYMZ+o3TM3jsWB+b6z3UOkJ0emPctiRvygEcaP3YoiDwi92d/PVoH9OzTLiCUV444+Izk9jMjKUrp2fw5AknO5u9fGB5/kWxGoORETbPPvss+/bt48CBA+zfvx/QWjEWLFjAypUrWbFiBStXrmT69On/K71OUP8RAVwgEKC6uhpJkqaM3BhNW4Zk3yaSIRMEgW9cVUG7J0rZObugWCxGLBajpaWFOXPmUFh44c4ICVnhD/u7ePxYLz+6YToTKRSrqsoDO9pwDTSt59uHL76yLNPU2MhKq4N2j539XgsfML6RKdjdlaDVrVCWaaEymOC5gb+7XC5CoRApKW88dkVZKi2eKJawRDSh0BeIoRM138fxbgZDF/bS0lJUVeXzzzeg00W4utyIp7+PtuYGBEEYmHhVyDz9B3SdY2fd1NRCjFfdi7182aiP+evRXv523ME3NpRSnmnWDOkd4fPwGmPJbtLhDMaxGnX4om9ktYx6getmZ3HnqgJisZj2nSVC5FkFVFWg0RMj06onktCcDcYyvD/RFaTHH0cnCBhEgZPdIRYXTa5/yWbS8e2ryvjIU3U4QxKtIwRwoOFQzg5mjnKt6HUC712aP6n3GlQ4LmMxiKOe/0N37IFAgPSsXJ5uiLOjzU8grqCqKjpgSUYCi8nEsX6JZ090874VxSMu7K5Qgq2NGpNrcKJXGAjcbCYdOkEgFJeJy5pd2OD0oici0eyKkJNi4K41RRzpCHCg3U+nL4aASlRSCcZlHj/uYG6+lS9fUTqiJVeGxcAHl+eRG2xid7SQWkeEu68smdJ3N5KWl9p54Uw/h9oDvHMK3LW+QJyP/aOeL68v4eOrigjEZQ62+blnk8axGy0wHszQabZqKmkWPW+dm8VLNS70OoEUgw5ZVcmwaOezThQQBYGFRSnDPE1FQeBLV7zhJp+RZh/GphsLYfPPgM4uLLSxtMTOkY4Az1b3c/uSqQGjdzZ5+dGODtZPSwdgd4uXnBTt/JBHyPxORt6IxMOHelhUZONYZ4Cz/VESCuxq8vLeCWxmJqIcm5HFA6+/t9XH+osAOR5NGRkZXH/99Vx//fWcOnWK1atXc+LECWpqajh48CC///3v+djHPobZbObkyZOUlpaO/6LnSFEUWlpayMjISE7Uj6dEIkFvby/Z2dkXJdnyr9S/dQB3MZEbIykUl9ndrBl4r5+A4fegBEEYFrypqkp3dzdnz55FEAQWLFiQHMm/EJ3pCfLznW1U9waRFbhvUxPfXTr+85497WB/ixdF1YzN84awxDweD6dPn8ZgMHDrhuV4DrnY3ujm4QNdfHF9Ob6YwqstcRD0fHJ1CbV7hi9CnZ2dzJw5M/nvayvS8EUltjV46PDGuHdTG/2hBPe/ZdqkobZ7W/00u2MUpVu4Y8109DqB5uZmHnvsr+T4T3NzTgs6cewJSv2iWzGt/SyCcfQL8fU6Dw8d7EVSVH6xu4u3z8+h1R1lf5t/UgGczaijJM1EuzeKXtBKpooKsqyypd5NdW+IS8tSWV6aysySDL6WHuDbW7sQBLiqzECBXY9HMmAzjrwoNfVH+NH2DhRV5fYluWyq8/DsaSczciwEvXFer1dJLYlQmTX+TSfHZuQH11Vyz6ZWPrxy5KGbwUCyfoiv61TU2B/h/m3t3LQgm2snwN3qC8Nv6jw4wioxBcx6kYSikm7W86FVxfR7Axx1+nm5xklxpJmMVG1ht9rsNIcM7GoLcawzmMRUlGWY2Tgjg75gnJdrNEPvm+Zn8/kXmmjojxCVFPSigD8q8fNdWi/rB5bns6YynVZ3lOhAo3dM1izLFBUSsszB9gAff7qep983d9RAIsOo8NOrqkgo2jBKNKFwvDtwwc3ys/NSsJv01DvDE550HlRvIM5HnqrDHZb42svNbPnoIr64roT7NrVxuifIPZu0cuq52aIjDoWXjrUgCFCcZqY3GGfD9AzuHPiuKrPMhOMK39vSRr0zjKRATFYwiCK9/viEj288hM1o0NmhbLqp6L1L8znWGeS56n6unZU5qe90UC/VuAnEZF6ocaEXIRgTkoGbPAYMeSI62R3EG5E42hFAViGWUJFUAX9M5pVaN7dfoEvJoDbOyOBYZ4DN9Z5/agA3kkpLS5k3bx633HILoOHATp06RVHR5KDqHo+HBx98kIceeoiOjg6+/vWvc88994z7vIceeogvfelLiKJIOBzm05/+NPfff/9/DCLl3zaAG0RuiKJ40ZAb52p3k4eYpLC8LG1KFy9AJBLhzJkzBAIB5s2bx9mzZy+YixWMSfzpYDev1vYTiMkoCuhF+NSaUoicX8YcqrN9If50sJuYpGAx6FBQsZl0SJJEfX09XV1dVFVVUV5ejiAI3LnSzMF2H9sa3Fw9K4tn66PEZLh6TibzCmyEy4YT9tva2oYFcM4BhlNC1koJ/gG/TH909EBrf6uP/W1+NkzPSLKTJFnlsaOaq8TtS3JRFYm7PvcFXvj7o/zgumxumDN2YBUzpNM7+wPoS1aS6vKSlqZisVjOuxCPeIxsb+xBUlQEQRvdX1Zi5/Hjfexv9fOBCTSJy4rKizWugc+tkGsz0OLWfCz1IqSZ9fiiMt2+GC/VuHipxoXVqKPAbqTNr1JoN3F5hQ1VlgCVrq4u7HY7aWlpSWxJXyDOd7a0EUnIXDc7iw+tKGBatoVf7Orkl7u7WJQjUuuF7Y3eCQVwALPyUnjijtFJw4MBd7L3bIryRiScoQQPHeyhItMybiB/wgW9QRmjXodJp2VwTILWzD2zJJeZJbks6WrhVHeQRF4xJqvMy/VeDnT3Eohri6RJL7K8wMjGGZksKsvCaDQSkxTWV2Ukv5+7N5TywSfrMOlFREHl13u7cIcTLC2xc+0ALLg43cTKslR8UVmzBYtIeCOSZgsmq8zIPv+cGkkmvYiqqnzxxSY6vFF+dmPVhH+nkaQf8HXd3qjZgk0kMAbo8Eb58kvNSfbf9bOzBnoZBe7eUMo3Xm2hyRXhu5vbuOfqckx6EUlReao2xNZWBb1e5NZFubxrcS77Wv2sKLWjE8Xkb2q0iHz32gp+urODPS0+IlGFhCDT7hnu6+oKJfjHKSfAuMy40dh0g9DZi4WwKcsws356OlvqPTx2rI9Pr558WfL+t1Tw/a3t7GzykZAVZFUdGIaBx4728fb5OUzLGj6BrapauXm8CsXl09KpyrbwUo2LrQ0eFEUlIoGUUPjL0V5uWpCNZYJ2j2NpeUkqaWY9Nb0hunyxC2qXuFAZjUaWLp1AluIcHT9+nGAwyLZt27jyyisn9Jy9e/fy0Y9+lMcff5xbbrmFo0ePsm7dOioqKvj4xz8+6WN4M/RvF8Cpqkptbe2/BLmxuU4DxV49weGFoVJVlfb2durr6ykoKGDhwoUYDAbOnj17QcdU7whx7+vNeMIJErKKTtBKQfl2ExumZ3Lm1OgBXDAm8cMtLciKitmgQ1a03bAoJ9izZw9Wq5XLLrtsWAk0K8XAe5YW8Pt9nfxoWyt9vgRmvcCdK7Qd0Llp7I6OjmH/Xphq4i1zsni+up+IpBKLSFgM4pissVZPlJ1NXsozzckAbkuDh25/jMosC6sq0vjsZz7DI488wi9vHD9408+9EfHST5EVlZNN8mfPnkWn0w27uW9qibLNYSGiKoiClkG7pNhOSbqJwjQT3b4YTa7oMNjwuer2x/jl7i5q+0IIgsCN87J59+JcPvFMAy2uKCadVi5KM+u4bYB9d6jdz1lHmGNd2k66Nwi/OxVjYb6ZGakyGQYFv99PZ7+fB0+EuWlBHk+fduIJJ1hZlsqHVhQQSSjsa/FzWXka+1p91PbLoMKuZi/vW5Y/IaDpeMpOMZCVYqA/lJiSQbcjECfXbmRpiZ1bF+XwxHEHP9rezk/fWjUmqf/KIuiJG2jxSaQYdYQTCjbj8Anka2dlcLjdz28OOIZ8VgPzi6ysLjUzJ00hFvLj729lT0ctVqs1manx+7WFfXqOlcfvmENRmolNdW4OtPlJt+j59Ori5AJ7RVUGV5yThZBklUBMs7qazEZPEARWVaTyxHGtb+mzay+sb2lFqRbAHWoPTCiAa3ZF+OZrLXT7tWAqxSByx5CSuNWo41tXlfO1V5qp6Qvx4+0dfHJVIT/d1cnxjhhGEb60vpTLyrXs4Wj8OJNeHCgt9/LokV4SCuxt8/HJ1W9kUQw6gdfOujHqBT6wPH/A+WbiGpp9Gw9hY7PZJmwL9u7Feexq9rGtwctb52YnfW0nKp0ocveGMoy6Dva2+vBHZWRFy9ruaPKyp8U3EChmcHllGhlWA0+dcrK3xcc3rywf16mkKM3ERy8t5N1Lcnmp2sETR7txxXWY9eJAm8KFB3B6ncAVVek8V93P5noP7182tbaJN1Pr169n/fr1k3rO7373O5YvX57M/l1yySW8613v4sEHH/xfADcVDTY0+/3+fzpyo8MTpbYvRLpFz7LSyWX3BpEbsViMJUuWJBEKF0OFaSZUFcozLTT1hxEFgVSznitnZmEe42JVVZWf7mjDEYxTlGai0xulKM1ElydM2Odi2pJpFBcXj5g9eMvcHF6r7edUdxCDqHLzdFOyvyIvLw+TyUQspi0C5wZwALcuymVHo5dQPA6oxCWN+j2aBrluzuAbPDJXWHPEeN/SfNpaW3nkkUdQVZXvbXWzYbqVdMv5n10xZ2C99l7009YCYAXy87Wbz+CO3efz4fP5eOKEk119OhIqGAWQgUyLjpI0A4IgcFlZKv845WR/m2/EAE5RVV6pdfPIkV7ikkJBqolPry5KcrnuXF7Aj7a1EZG0xd5q1JFjM7JhegY3L8jhHyed/PFQD2a9iEGnTUlW92pDGAV2A3MyRYIxiXZvnO9vbQNBYEGBjc9fXoJOFHixxsXhDj96USDdoscVjCEKWrbrRNfUQbfnamaOlX0hH/XOMJemTLzsV+8I8+Gn6shKMfDrm6q4dVEujf0RjnQE+MmODu65unzUIPOAA5q9CSxGPV9cV8L+Nj+FqSZSzXpa3BE21XnY2eQlKqnIqkJOih6TTke2zTAMeTKowXvIIHT2XITNyX4rfzjgAeCuNcXj2kDpdQIZVsOUeo6umZXJ06f62d3i5b1L86ac6QdYVGRLTgeH4/KYjfdn+8Lct7mVvmAcATCIsLoyjfxz+vfSLXruvbqcr77czP42H4c6/KCq2AwC01K14YmJSCcK3Lm8AEVR2d7o5ZtXDs/cp5r1zMmzUt0b4lR36KKcrxOFzoJWORiceByKsMlKMfC2edn8/YSDvxzp5Zsbyyd9HDpR4HOXF+OPShzuCBBRVEx6gWtmZnKqJ0SbJ8qfDvXwlyO9LCxMoc0TwxVK8MWXmrh7Q+mYPbCDspv0vG1OBjm+OnzZc7m8Mp2slIvnWXrljAyeq+5ne6OH9yzJu2C0yn+CDh8+zLXXXjvsb6tXr+bhhx8mGo1OyhDgzdK/xahHIpHg9OnT1NfXo9frWb58+T+dl7a5Xsu+XTE9E/0Ed4ODPXn79u0jPT2dVatWXdTgDTRnhS+tL6PHF0UUIMWkQy8KXDdnOCDyuVMO9rV4k4MKCVnFoBPJsGpZFEVVSZO9AEwrKx4TY6IXBWbnpaCoKrIK87Lf+D4EQRj2GXt7e897fopRx3suycOoE4gP0NXHysBlD2R2HME3+mRuX5LH794xg0VFNp566qnksfYGZL7xmuu813j+TIg/hdcng7dzNbhjLy4u5kgkmwMeC0ajAR2a161RB7likN27d3P06FGKRC+KorC32TvMiQGg1x/nm6+28IcD3cQlhevnZPHzG6uGQVUvLUulINWEomq7b0l+o1E+kpB5saYfo07gnqvL+evtc/jWVeVcOyuLrBQDPYEEW9ti7O/WOGQGnVambXaFefJ4HzFJ4eb5Ody8IAdZBXdYIi5DRNbMubc3ekb9riermbmTtwXrC8T5ysvNyKoGjLUbdUmESZ7dyOmeIH8dKI+fqz0tPl7t0PoHv3RFCctKU7lrTTE3L9DO9+erXbxc048rlKAi04zNIDInz0pCUenyxZJ9b0NlNBrJzs6msrKSRYsWsWbNGpYtW0ZhYSFxSeZX+3oJRmIssIcxuFtobW3F4/EgSeM7VExWGRYDl1emIcnaBuBCVO+MUJpuIiEpHOvSereePuU8r1n+ZHeQb73egiciIaD5OttN+lFxGbk2IzfOzSIUV/BEJOwmPTajwIl+lRPd47BqztGHVhby19tnj4hPWT4QDB5s90/qNSeqQehsQUEBM2fOZNmyZaxduxaLxUJKSgrBYJDa2lp27drFwYMHqa2tpauri40VFtLMeo50BDg5gc+rqCrhuEw4LhNJyEQTCqoKX1hXQkWmCRWISSrrp6fzu3fO4LvXVnBFVTqiAEc7AvQH40QlhS5fjC+/1MzuZu+EP6NOgJsX5JI9Atz8QlSSbmZ2XgreiMThjn/O7/Pvpv7+/vPW7+zsbBRFwe2+sGv1X6U3PQPX19dHTU0NdrudBQsWUFNT809vIJQUla31k2O/+Xw+qqurUVWV5cuXjwok/Guznqqok4+ssZFhnfxF5otI/HJXOzFZZXFxKie6AszJT6F8yNBETFZ56EBXcvHKthmZlWtlRo6VeTkmfrm7Az0KG+YUkuZQmZ73xm43Jimc7A6wrCQ1+T07AnF2NHow6UV0KLzYlGDVkjeOKTs7m+7ubmDkAA40Y+qXalwc7wqSkFX6gyPT/gFyB8oGznMek2MzIkkSL7744rAg6pnTQa6blcJ1s1Nwh2W+9ko/rzXE+UCWb2AQxTeq4Xl/KMGmOjcmvUiGRUd7PEF5lpVuf5xrLiljWbEJv99Pis+HTSfR5pJ4ftt+puXasdvtHHPrefKMn5ikkGs3ctfqIuYXnL+50IkCb5uXzc93dxIZYI8NwnlfPOPCG5FYVGRLlowvKbZzSbGdj6oF1DnC/O5AN32BBK5wAhUBUVDxRGT+dLiXZ6v7+cjKQu64JI9FRTZ+vquTHp9MJA5xWWF3i49PrJqcddNomjnApKubYB9cICbx7ddbcIW137Iqy4zNrP2+dpOer64v5SsvNSeHLwbLcaBlIX+2qwNVhdvn2YexqgbPzWtmZeIMxjnVE8Ju0hGzGjjdEybNoscXkQhEZdLGyaANRdhs7hJwJhJU5Zq46/KcJM7iXDbdYAluKMJmqnrrvGy2NHh47aybdy7MmRKqQVZUfrqzg16/tvj/+XAPnoiEJKvcNP+NzV0oLnP/tnYiCWUg86b1VBakatOG50pRVZ447uCJ431YDFpvXCAmUZypoycIr591T9q1YbTva0VpKg8f6uFwR2BgwGpq3+vgMa+vyhgTgQLapLteryc7O5vcXG16dyh0trmzj9+e6caXEFAQeXBnM/duyCc9LQ2TaeResEBU5r2P1wLalPOgJVhCUZmebSHbauCSEht5dhOiIDC/wEaOzci2Rq/2eEVNDspEEgpff7WF9y/L587lYzv6jKahU9UXoo0zMqjtC7G53sOl5Rc2dPOfIFEUSSSGr0HxuJZU+GchbC623tQArq6ujra2NmbPnk1BQQE+n+9f8r7HuwJ4wglm5FiHBUYjSZZlGhsbaWtro6KigmnTpo3ak7ez0c0pj46THi/ptj4+umpyGAFJVvjBlmb6AnEWFtnZODOLXn+Ma2cPz74pisr7lxdy1hGizhGiPxhnTzDOzgYX4bhEXBHJtZnoiBhYMy0lmV0TBYFXa/v5/b5OZuRYuX1pAUtLUvndvk5iksJb5mSzp7GfYw6Jk10BFg7gKoaOY48WwOlEgY9cWsinn60nIUOja/QMTk6KEUEQcAQTw5wiPB4P73//+zl58uR5z/nKy06CcYXvbXHjDMnodDpycnP52svNtHmiZFlHLoXn2Izcc3U5e1t8PFfdT5peITJw81xQaCMlxZhk013p6+GFM/34UrKRjAo/P+Sj3qMNZSzNVrlppo4s1U8wyIgL+/rpGfzpcC+heJyErE0A+yISz5zWyP3vGwHJIQgCmSkGml0a2sOoE0nIKoKgACoJBZwhie9vbWdZiYZm+MXbqvjRpgb2d0aJyuAJSzx+rI9gXCHNrOMDU1wIACqzLOh1Ao39keTC9PQpJ7tbfPz+nTOHPTYmKXxvSzvNrigCYBThknOAoZVZFj52WSG/3K0NX5SmmylON9HuifL9LW1IssoVhbCmdOTrcFaula9fWcbdr7bQ4ookjekHF0BPRDovgJMUlQ5vlDSzfljJ8nRPkGdO92PQiXxhXSk5mWbIeqPfbSibrre3l4aGBoDkgMlg+W20hX00lWWYmZ1n4XhnkO2N3lE3G2Pp0aO99AbimPQC4QTUOyIMbnEeOtDN1bOyKM0wk2LU8Zm1xfxqdyf+qESOzUR/KME1szLPC5jCcZmf7+rkYLsfGa13c0VpKse7AlQ7EygqHOkM0B9KJLPmF6L8VGMS2VPvjEx6Sn1Qr9a6efKEg51NXn54feWkS9smk4nUjCx2dKv88WSQYFz7XvKsIh0BmRePtZJBGIdkpiI7hTmF2m+vGCw0uWKc6gkRk1ViCW1oYWgCtC8Q56UPzj/v3hCTFLJTDPijMglZwagTiUkKUUlBUWFl6eRLyqqq8o9TTjbVefjpjdOwT8EXe6hWlafxhwM9HOsK0h9MjNuf95+ukpKS89az3t5eTCYT2dkXZon2r9KbGsAVF2ulvcneEC9UWxu8AGwcpxHY7XZTXV2NwWDg0ksvxW4f/SJr90T5yfa2JIF/0SRZXQC/39/Fqe4g+akmvnZlBalmPZdXZXAuTshiEHnHojdGyDucPjYfPUuzO8F+t4lEQrsxvFzTz8s1WvCQYtQxMzcFk17EZtJR5wjz7VebyE810uGJkmE18NFVJaSrAZ6qi/KbPR38+h2z0OvEYWlmh8Mx6vHPy09hTm4KJ3tC502hDZVeJ5Bh0eMOJwjGZewmPQ0NDdxyyy00NTWN+BxXBD77vDP574qicOstt9CUSOOXuzv5w8EeFhTaRsxu5NuNbG30ArA+N0JKYTFdgcR5/UCXlqfyfLWTrS0hXmuESEJHYYaZj63Ipcyqsap6e3upr69HEITzkAYmo1aKenD/wJQr8I9TTiIJeQC7MHKQkmLU8YlVRQRjMsG4ZjodjGlTkJ3uML3BBFa9QNTbT0SXhd1i4aOL7ZSaojzRpPG56p0R6pxhUs167lg69aEGk16kPMPM2b4w39vayqH2AL6oFsT+ak9nclJPVlR+tquTmr5QMgNgMeqYOUI/z4bpGdQ7w7x21s0Pt7XztfUl3Le5jVBcZsP0DFanOM97zlBZjTq+tbGML7/UjCMQJyqphBMJrEYdnkiCcob3qvz1aB/PnnZy5/ICbpyn3YiDMZmf7epEVVXetzR/RAeCc2nyiqIkafJ+vz8JnTWbzcN+d5vNNuaOvcEZ5mhniEhC5cF9XVw1M2NS2ac9LT4CMRlVBW9URhjA1Qzq8RMOXqp1U55pZk1FOq5wgkBMpijdzA+vq2R/mw/rOf2zPf4Y39/aTrsnSqbVwMqyVDbVuznaGQAgrgzYjiUUNte7uW0EG7WpaHlpKq3uKIfa/VMO4DbOzOBAu59T3aMjUEaToqrsavLx5yO9tHmiJAYIz0tL7NyyIJv7t3dw0G9l44xSXjzcx4yowO5uNy1eB564ls1UEZBUzRZMJwiYdAJZKXqunpnJOxbmjJiBLMsw8/CtszT3FknFHxuwBYtKNPZPzbFDEASaXFEcwTj/OOm8oI0bgNkgsnZaGq+fdbOlwcO7Fk+eN/jvrGAwSG9vL5WVlYiiyLp163jmmWeGJRFeeeUV1qxZ878M3ESUkpKCLMv/0vcMywKHu/0YdCKXTxuZeTMacmM0RRIy39vUjD+q9ZyY9SKZk2wwfa22n5fOOLEYRL59dWXSQkoUBEZbi1VVpa2tjYaGBlaUFLJsfjHHXmqiPMvK164sp86pQVnP9oXo9EY51ulPPm8QaHqmNwQqZFgNNDhCrCoysK8rToc3yp8OdhNJKMhly4GnAa1vIJFIjIpK+dzlxdy/rZ13j3Px59gMuMMJnMEEp48e4pZbbsHvf6P3YtA5YXCCrOIDP8aUU0rflj/jPfYK73vf+ygvL6dUVTX6eV+Ip085efcIQM6/Hu0jEJVYUWqnSnSyZmH2iMefnWIgrkCrJ0a6Wc9VMzO4c/kbdjiDJZhzF/ampibC4TBms5npFjsioAANzhCvnHWjEwVuXzL695Fi1HH1GIbVsViM/v5+JEnC4XAkkTrLcgXWLJrO4XY/dywt4AsvNNLYH6GmLzQMojpReSMS2xs9tLij+GMy2xq8SQcDu0nkbQNG3aqq8vChHva3+lBVzRNTrxNQVZiZO3KQ+qEVBbS4opx1hPjksw2oKiwptvOJy4o4fWrsAA4g02rg21dpjhLhgJIsQ3lG6LWcPjCEUjeEZ/fnw724QgkWF9knbDIviiJ2u1ZKH+RSnQudbWtrQ5KkJHUeNHugwUnvV2rd/GpPVzLrG47LHOuc3NDJK7UuTnZrLhrnbuZEAdZWptHujdPqjtLo7CEQl9GLAstK7CiqiiOY4OlT3ZzsDvLhlYXUOrSJ01BcZkaOla9tKCXTauDt87P52zEHO5q8CEBCgURMswp758Lci1KmW15q5+8nHBxs908ZEm3UiXxtfSnffK2Fxv7hCJSxdLI7yCOHe6nvjxCMSciK1lO2uMjGXauK2NrowWrU0eiK0HYwSkRSOO3UMEygI8uuozxVpC8Qo90vo9eplKfIXF5sYFmpmYx0I2ZxbPabIAiYDQJmg5HcgUt0NCP5ieiOS/I41O7npVoX183OGhEyPRltnJGRDODWVqbxt+MOitKMFy2A/2dJkiRaW1sBrafe7XbT2NiIxWJJXrvPPfccd9xxB06nk+zsbD772c/y8MMP85GPfISPfOQjbN68mddee42tW7e+iZ9kcnrTe+D+1TKLKt+8spy+kDyiCb3T6eTMmTNYrVZWrVqF1Tr2LlFVVX65q512bxQGbJSMAxmmiepMT5Df7NGmO7+4vvw8h4eRNOhOkUgkuOSSS8jMzOTnO9sAuGpWFlU5KVTlpHD9HO3xwQED6ENtPo53BujwRklEJQZ7wFvdUT7+j7PcMtPM9RVG/liT4PnTDiRVhfQZw97b4XCMClqsyrbyh1tmjXrciqpNqebajNQ5wryyYx/3ffw2otE33AHKy8t57LHH+MMf/sAjjzxC6uxV2CoWgagjddal3Dg/hwceeADQAtyPXVrI519o5JnT/VxRlU7BEHBxvTPMpnqtv+8DS/OoPdY84nH1BuJ8/vlGZEVFBDZMTx+VCzXWwu7z+XjvDC+ZQpA99TEiUSNrio0IYQ9hfeqIbLrxZDKZKCgowOv1Jq3HQFsMZuWmUJVtRVVVLitPo7E/wv5W/6QDuF/v7WJrgwdZUQkNmJUrqrbA5diM/OzGaZSka1mrFwfYdgadSFxW0OsEJFlzphiNIWXQiXx+XQnve7yWcFSmLN3Ml6+YmL/qoErSzVo59eVm+sMKiqrQHzq/1zI5iDGkj+/dS3KJJGQ+tGJydmnnaizorMejDZMcPnyYBDq29Ns54RKISFo2tsBuICopPH+mf0IBnC8isb3JS4cnhiQrnPtViYKW2bnn6koUVeVoZ4Dvbm5L9r49X93Pi2dcyT6xzQ0e6pwRyjPNhOIy66dn8PHLCpNIj1ybkc+uLeatc7N4cFczx3vjRGXo9MXY0+Rl3fQLh7xWZVnISjHQ6Y1dEHPMOuAJPIhA+dH2dr62vmzU80lVVZ484aDWESYqaf2BelHbGLjDCT70VB0JRcWkE0jIKvLAEFKm1cCn1xQxI8dKnk2bWG91R3nlrIvrZmaQaXjjuq+vr79gNt1kVZRm4uqZmbxS6+Kvx/r4wuUX5v5RnmFOlrlPdAfY3exlTl4Kty2+SAf8T1JfXx/XXHMNoE0nv/LKK7zyyiusWLGCxx57DNBaIYaaARQXF7Nr1y6+/e1v8/73v5+ioiJefvll1q4deTDu31H/dQGcVt60YTQO36nE43HOnj2Lw+Fg5syZoyI3ztXLNf3sbPSgFwXMBhFFkREFxkUTDMoRiPPdTc1Iisp7lhZwaXn6mI9XVRWn08nZs2cpKyujqqoKnU5HNCGzu8mDKMCGEVwlbCY9S4pTcYUSvFCtZTwsJh0GWSUuaRkNWYWyVJHnGmOkmAwEowkUBGJ6G6acMmJOLUDs7e2dNCkboNMb40svNhKVVK6amU4kEuGBvz08LHhbvXo1jz76KFlZWfzyl7/kjo99hru39BERdIDKR27eyKevvGvY65ZnmrludhYvnunnDwd6+ObGMgRBI6L/dl83qqpy66I8cmwGakc5tjybgXn5KYQT2pBHly+WbBgfz/Abhi/sH6qAFleER55vxGpU2VhmoLOzk0AggF6vH1Z6TU1NnRD4WRRFMjMzMZvN9Pf3o6oqqamp+AIhPvZcGya9kDR7P9Dm58MrJxeoDGYvzAYxaViuotlQfWldSTJ4A5idayXTaiDPbqC2L8ziIjtHOwLMyLGO+p6qqvL4sT70ooBOEAjGJJr6o8wrmFzpaE5eCl+6opS7X9GmXg+1+bnlHGupkXh2mVbDMCunycgflZIZ8XM1FDqbkZFBd3c3+bOX8pMdHXT54kRlFVAxiyo3FIR4scvEiU4/1e39zCnOPG9hV1SVk91BNtdrwF5JVrVSnSiCqpJh0aGi4o9oJdXBQSZRENjTrPUQr65I423zs3nmVD+1jjDtnqgWaEoqtX0hWt0R1ldl8OlVhSMGFpVZFu5amsqhFjePNopU5VhYPWAVdaEa9HV9pdbFwXY/N83PGf9J5+gPB7rZVO/hwZumc+/V5Xzl5WaOdAT41Z5OPrO2eMRzUEULUBVVxSCAOmD3d3llOq+edQ1UBCREAQpTDYRjCeKKgCjCmoq0YWtBeaaZT1z2xv1vKmw6s9l80Yb1bl2Uy/ZGL7uavNw4N3tMjuVY2tPi4+8nHKypTKPVHeVAm1ZOv1BHiX+FioqKaGxsHPMxN954IzfeeOOwv82bN4+nn376n3lo/1T91wVw50pVVXp7e6mtrSU9PZ3Vq1dPiv8yN99GcboZvSjQ4gonAbETQZNEEwrf2dSELyqxujKd25aMXVLwer14PB70ej0rVqwgLe2NSaHdzV4iCYWlJalkj1G+Lcswc82sbOxmHXaznjSzHptJR6pJj0Uv0NvVhqSoBBMycRlkVUEVdKTOXoVzIIDr6nVgc4QpSDWOurANVUJW+McpJ3875kiWvHafbMTnS6C3v1HOuvHGG3nooYeSPZEJWeHxBhXBlIJeVjDqdJTkj3zDv21xLntafBztDHCwPcDKslReO+umyRWhJN3MjXOzQR29XC8Imu/nX470YtKLnB3gmuXbjfzhlpmjPm80/fWYhs24aWEeS+e9QZMfzKD5/X56enqIRqPDoLNpaWmkpKSMumMfxCR0d3cTVwTufqWZDp/2ndY5wpRlmGnzTK5JXFVVsqx69KJANKFgHJLFSMgK921qpSrHworSVJaV2JmWbeGrG0r4ykstWAw6PryigLckCf+jfB9H+9jR5CXDauDmBek8X93Pj3e0c//1lWztAmeblx/eOL4LBsCqijTeNi8bTyTBxy4beSMxyLOrc4a5bBI8u6FSVZWnTjl57nQ/P3rLNIrTx84WqarKUY+RA6+1EZMUJBXNWUIUWV5s49olaXhFJ682R3l0XxPX5lcn2XSy0cYRh8LOlmASr2PQaT1J66vS+dOhXsIJhY+uLMBu1nPXs/WEEyqBAeeTnU1edjR5sZl0fG5tCdk2A7/f34M60GQfl9Vkv1dMlnmmuh+97o2gfyTNyBB55gPzBpxgBNo8UXxRaUrl+aFaXmrnlVoXh9oDkw7gXjjTz6NH+1BU+PprLfzuHTO59+pyvvZKS/Lzf2hFwbDzKCrD/x3ycNqZwGbUkWrW44tKfHV9KaUZJm5ZlEOm1cCZ3hA/2NqOLyoRkbR7XziuIZEmOigxEpsuHA4nr/lBNp3BYDhvIzfIppus0i16blqQzWNH+/jz4V6+c83YLT8jSVFVXq110eaJomsV0IkCJ3uCqGhDQf/Tv6f+qwO4aDRKTU0NXq+X2bNnk58/sQVkqCqyLNx37TQ+9MQZjHod8XiCNPP4DZCqqvKznW009UeoyLLw+XVlo763LMs0NDTQ3t6O2WymrKxsWPAGsGXAVWI8LMqM3BRm5I6e9Ui4dXxikYXf16h0+2PIsoqkiqTNWYNz198AeKXbyB9fauKL60pYU5k+5vud6Q3xm31dtHtiyR5BIxI7//QDit/2RQyp2g38zjvv5IEHHhjWPPrwoV6aXBFUFfQCGPUiVsPIgU2KUccHluXz050dAxZOZh4bCKI+cmmBVuYbB/N1pDPAwXY/Bp0AqoqkgjcqDWtyPVd/ONBNly/ON658o3xzpjfEkY4AqWY9b5v3xjSTKIqkpaUN++2GQmedTidNTU2oqppc2Ad37SaTKXkMBoOBmCLwy8M+atzaAm7SacgNFWjzRDnQNrEm8f5ggl/t7eREl8a/KkwzcqY3jE7Q6PmiIBCMy7S4IrS6ozx5wkGm1UBCVohLCjcvyKYg1TSsbA3agiCgBcav1rr4xyknRp3IN64sY2aOBUcwwf5WHw/s7KDXDd5EnLpJBJ2fG6dUNDPXyr5WH/XOyDB0yWQkCALukEQoLvPDbe38+IbKMcn3CUXllM9IfGDi26wXUFQBg07g/csLyc628J7L0tjRVUdj1EDFnJmc6fLy+Ck/tf2BZDat0CayttTK+plZFGSlo9fryd9gJN2iT77/xhmZvFjjIsuqpy8Q57f7NczPxy8rSk4PXlqeijOYwB+V8EVlvBEJVzhBJCEjKfD2eeNP2omCgKiDhv4wX3yhicJUE7++efoFlaHn59uwGnWcdYTxRqQJVyuePe3k13u7k6X9rwxkVEvSzXx7YxnfeK2Fl2pcpJn13LJIy8p2+2P84ayIOxEj22biq+tLKc80U9MXSiJ9BjU3P4X731LJfZtaaXZHiSc03ltPID4sgDvc7ueFGhfXzsoc99wairApKNCGDGRZHraRuxgImxvnZvNqrZvTPUGOTrLHErTf+Wsbyrj7lWaaXREsBh2BaAJJ5TzO4P/076P/ygBOVVU6Ojqoq6sjNzeX1atXn1dSnYx2NXm0UfASOzXtYYpSx9+t/f1EH7ubPKSa9Xzr6spRXRZcLhfV1dWYTCYuu+wy6urqzruou30xTvcEsZt0rLwI/J5si8j3rq/gSy/U0+mNogKm3FLMBVVEexoxxTxgzaXVHWVN5eiv8/jxPp447kju4gw6AUmS6drzDDGn1vNnSMvhM5/5DPfdd9+wz7Wv1ccrtVpQatILWIxG4pIyJn1+bWUam+o0E/lvv95CKK5Nf040Y/CW2Vm8ftZNmyeKooKKVl6OJEZ/3+NdQbp8MVzhBHl2I6qq8sgRbTT9nQtzxjxeeAM6Ozi2PnTH7vP5aG1tJRgMYjQakzd30ZzCLw77afDKKKpG465I1xPzu1hRaufJEw72tfp439K8URcAVVXZ1ujloYM9hOMyWSkGPrWqiFybgTufrENVVcwGEUEQMOlFvnNNBSe6gxzuCNDUHyEQlxGB56r7affEWF5qZ2mxPbnQvXbWze4WH5eWpvKnw70IgsAX1pUwK9fKkY4AqqqSbzdS74yQPXC5bGv0THky8VzNypm6r6uiapDgknQzH1yRT7NLm/D9vz1dfHHd6EBso07kqtwIr/tsBGIyeQMIjzWV6UwbKGtlWA1cUmRne5OXT7/UgfZKAnarmdUVqVxWaCBLp/XUtTfW0XDmjYVdTUtDHljYP7u2mA+uKCDVrOcbr7YQHpzoHWJ3NRJXTFZUgjEZRyBO0TgZxaGqyrIks7tHOwKTdq8ZKr1OYEmRjT0tPg53+Nk4QsvHUKmqyuPHHTx6VINaC2hTo0OnuqfnWLl7Qxn3bW7lsWN92E068uxGfrKjA28UZmQb+da105JYmcWjUAKK0kz86C3TuHdTK4c6AsRkldM9IeYMmRL1RCROdQdJM+untDnQ6XSkp6cPY4lOBGEz1hpl0ovcviSPX+3p5JEjvSwusiU5lBOVzaRZq33lpSZ6A1r7iKwK/wvg/o31XxnAHT9+nGg0ysKFC8nJySGSkPndvg7eOjeHgrTJ2WeoqsrmASjw2xfkscbcyfz5Y0/sHGzz8ZdD3ehEga9vrCDPfv6NNJFIUFdXR09PDzNmzKC0tHTUhWPLgKvEuumZGCbpMTiayjItfPe6Kr7wfD19gTii0UrGoqvo6WlE8PeBdSatnuiYrzE924pZL5Ju0dPtixJXZCIBD+7jm0j4tT68vIpZ3PfZjw77bL3+OL/a0wVAabqZdm+UPJuRDm+UFOPon08QBD56aSGffKaemr4weTYjdy6f+KSbXidw54p8vru5DX9Ua+Q36cEXlUYNxHJtRrp8MZxBLYALJzTGU67NmDRIn4xG27EP7ta7XT5+e8pJX1RAUgT0goBeLzAny0AsFsOYSJBvN9AbiNPijo6ILnGHE/x6bxdHOrQelw3TM/jgijemba+cns7OZh8xSevfshhE5uSlsKDQxh2X5PGZ5xqpd4YpTjfhDkscavdzaICuPzPHyiUlNrY3+ujyxdjb4sOkE/j4ZUWsLEtFGQhw2z1RUs16RAG6QqAKKnuafXxoRcGkfTJHUmW2Gb1OoGmAZzeZYYnvbWljU52HJcU2fvG26Xx5fSmff76RPS0+ZuRYk2iScxWVFLb1WwgoMvPyU7htcS5PnHBy+5JcJFlld4uXTfUeTveEiEpaBnN6jpVQXOaamRm8b9n5AVcsFktaQ42EsHmuR6C2L0RBqokPrxwfI6ETBdIs+nHhx+dKEATeOjebX+3p5PkzrgsK4ABWlKWyp8XHwbbAmAGcNvHcy3PV/YQTWn+x1ajj7SOUXhcW2vjC5SX8aFs7P9/diU4U0AtQZFVZWmiesI1ZmkXPD66v5DPPNTAr18p1s4cf37ISO4IgcKwzMOlzazSdi7BRVZVQKJT87QcRNgDV1dXJ399utyerFldUpfPCmX7aPFG2NXrGDYxHUnaKgXsGrNU6YzKyqhKMKeM/8X96U/RvYaX1r9AgcgM0fMnq1auTF8vDB7r444Fubnr4fIDseDrrCNPljVKQamJO/sQasjs8WlbrY6uKmV94/k7Q4XCwZ88eIpEIq1atoqxsjPKqoibLp1dN0FViopqRm8L3rq/CKAKCQObyt4IgILm07FmLe+wAbmmJnY0zMukNxBGRCfl9RHubifY0oCZipFkMGO2ZPHq0j6OdAfwD/qmyqpJlNbC6Io0ufwyjXiR1oCw9nnlzYaoJs16HCqRZdJOaBgZYWmxnSbEdnShouBVJxRcZvXdu0FXCEdL6llKMOr5zTTk/uqHyogXTOp2OjIwM7DmF/LXVjFcxkWLUYxIhxSigQyFT9pBIJFAUhdnpKoqisKdpuMWWqqrsaPTyqWcaONIRIMNq4BtXlnHXmuJhHK23L8hBLwrEJIW4rN28B1vyDrT5afNEKc0w89ubZ/Lou2cnS+kpRh11zjB/O+ag2xfFIAoYRAEFeP5MPzsH8BT3Xl3OoiIb/qhETNJgxQlZxR+TOdweuCjfmVEnUplpIS4rtLgnbgv2ck0/Wxo8qGiBO2iL2hfWlSAKAo8c6U162A6VpKj8fHc3vVEdpekmvrahjHkFNr57bYVmsYbKQwd7qO7RStWl6SbsJh1LimyE4zKu8Mj1fZPJRG5uLlVVVSxZsoS1a9eyZMkScnNzaeiP8vQZL4l4nA3pLprqamlvb8fn8/1T8Exrp6WRbtFzuidI8xig7olocHr4ZLf2Wo8e7WVPy3CQu6yo/HpvNy+c6SeSUAZ8hEXy7EZWjhJAXlJspzzTTDihEIzJrKpIpyss8FJDMHkuT0Qmvchv3zGTz64tOQ+Qm2E1MCPHQiguc6bv/HPhYkgQBGw2G0VFRcyePZsVK1awbNkyAGw2G16vl9OnT7Nr1y4OHz5MXV0djr5ebp2fDsDfjjmSsOvJqiTdzDc3lmMd2Cz3BuLjPON/erP0X5GBG4rcAJg5c2ayYdQZjPP8wFTmVHb+g8HTlTMzJ9yv8I5FeSwutjMte3i5KBaLUVtbi8vlYtasWRQWFo77mie7NFJ6ZZblvNe7EPkjCT7y91puXpjLe2fAH2pV1EQMnSWVoKtXM1QPJcac0NvT4uPFmn4EVaaz5ii67HI8xzcB8J73vAdTZTG1fSH+ftKJboAFVpBqYmaOhSunp9MdiCMrKmsr08m3G7GbdGRa33ivemcYo04cNiX6Uq2LmKzd7B2BOPta/ayqmHiZQxAE7lyez6F2P1FJs6ryREe3BcsZwRZMEAQyLJOnmNf0hQjG5KRn5Lk63hWk0xujLMNMiyukZRj0evR6eMf6+cjRMF6vl8V5Rra0xthS00OV1EpqaiqC2c4/GuIc69GC7sunpfPhlQUj0tunZ1tZUGhjT7MvyR4TBQFJUXl0wNP09gHDa71Ox5rKdNZUpiPJKi/U9LOl3kNfME4wJqMTtQb6FneUeze1Up5h5jNrivj2VeW8cMbFo0d7iSVkZFWz5dpc75nU7zWWZuRYqHeGqXNGmD4Bw/ADbX5+vbcbWdGm1a8bAvpeWGjjjqV5PHK4lx9vb+dnN1YlMzqqqvL7/d0c7QqRolf45sayAXbYGzLqRN6zJI+nTjlxhRLMzk3hcIc/mQUdiWc3kgYRNjqTlef2h9AbFG5blMOGcmMSZTKUTTd08nEqCJtzP8M1szJ54riDF864+Oza0QcgxlJ1T5Df7esmoagoqsyD+7o464iwtjJtWAl4f5ufzfVulIFhEN1ApuuqGRkjZr36gwm+v03rK04365AVONoZIN+i4owr7Gvxs64qfUrHfK5WlKZS5whzoM1/Xi/dZOQIxnnmVD8fWlEwbiZPr9cjCALl5eXAcITNYC9dPBCkwGCl3S/xp1113LIod8KT7kM1K9fK59eW8PsDPdxxyf9fQN//n/T/dQA3aD7f0tJCWVkZ5eXlbN++fdhj/nSwK7lTMegnd3OLSQq7mjwIwIbpk8t+DQ22VFWlp6eH2tpaMjMzWb169YTdKV6f4PDCZKSoKt96tYlmV4SfbGvjZ6sE9Dv+j9ObtXFrt9vN4kwzJ7qCtHqiI/aYNbsi/HK3Rr53vP57fAkDdqMNf81urrrqKn7xi1/wvW2diAKsm5ZGJKFQ54zQ44/R44+xvVHLyCgqnHVoPphrKtNRVZJw39/u66bJFWFVRRrvWpRLilHHE8cdCMAHlxfw+PE+/niohyXFtnEzd0NVkm7mhjlZPHbMQVxWcQTG8nXV+lIGJwenqmZXhK+93EyaWc9vbk45LwAArdSpFxkwRReYl6lS61eZlWvFZjKAKQ273Y7R5CDdHMIdBUtuGXX9IR4/5CYUV7DoVN5WDisLIoQ8/ehGWdjfPi+bA21+EoqaxAhsa/DQ5YtRkWVhTeX5QdYgzLfLp7lwGHQiCVmzBFMHJiHr+yPcu7mNZ94/j7fNy2ZBQQr3vHSW9iBICuxs9vJyjZMdTX7evSR31F6liWhmrpWXalzUOcO8hSya+sP8dFcn07MtfHbt8CGIs44wP9nRQTih8dasRt2wvqfB72Rw0b5/Wzvfu7YSvU7gqVNOXq9zYzGIvD07NKrt1LWzs6jKtvD1V1s43OHHbBBxBOMoaHZoI8kbkWjsj5zXlP7QwR56/DHm5KfwzkV56EThPDbdYPntQhE2wz7DrCwePdLHlnoX712aN+Gy5KAkWeWBnZ2oaI4yvqjMofYAsqqd1zNzrayuSCPTamBVeSrHp2ewpcGDbiCAU1VGhF7X9IW4f1s73oiEIApYDTrKMkzU9oUISQKqCK/XuS9qAPeXI70cavfzkZUFUwqMVVXlgR0dnHWECcZlPn/5yAiU0TQUYZOX98ake2aHi29s7mZza5TpxnpavQl8ipn1lSnkZEycTbdxZiZXzsj4p3uT/09T1/+3AZzX66W6ulrjDg0gN6RzxhBreoPsaPQgqxq8VS8KkzJZPtDqJRSXWVhkJ3eKBOxIJMKZM6+ODf8AAQAASURBVGcIBALMnTuX/PyJ92wFohIHWr3oRYErpk++32E0bW5LcLxLa/62m3UYdZAhv1GO83g8VGRatADOfX4A541o3p0xSUFp2M2Z1/4KQN+2R1iyeBGPPPIIBzvD7G31k5AVOrwxvnxFKYWpRnoDceqdEfa1+thU70GHNqTxgr8fzmivn27RU5VtwaQX0YkCe1p87Gv1YzOKBGMSV8/M5NZFOZzpC3GqO8jfTzpH9CEdS3cszefvJ53EZZV9rb5R+55GysCNp5H6ZiqzLCwvTeVQu5/HjvXx0UsLR3yuFtCGybSIrC1QmFWWQ8EQQ29RFMnPy2NZUYjXG/388qAbV1RFEPRcMSON9y3ORI0Fx13YFxfZKEg10uyKEpMUYpLCEyc0G7X3XpI36jWyrMROukVPICYTGrAFC8RkPJEEnd4Y3b44V898AwhbmWXhk3Nhs8PC680RFEWlwRml3hlmf6v/wgK4HCuKqnKwzc+nnmngTF+IhKxyqjvEOxfmJiGyXb4Y393SRjAmYxBBUTWm47k8LUEQ+MyaYtq9TZx1hHn4cA/Tsiw8drQPvU7gS5cX4mvsG/OYpudY+dIVJfxgazv+qIyqKMQV8ERGPn8+/0IjrlCCP946KxkY7mnxsbXBQ4pRx+fWFp/XrD50YR+8nyiKQjAYHNZPF4lEJoWwUVSV50734x9Alzx8qJsvrisb51d4Q76IxGt1btItOlrcCgMV6qTbR0JR+cP+bh4+1Mu8/BRWltmT5epbFuVy7axMtjV6CQ4M3QxqU52b3x3oRpJVVpSmIika1PisIwyCQEz+f+yddZhc9b3/X+eM286su2WjxF1IcCheoO4ChdL2tvdWbv1X2ls3SgXqCm2BtriThChxl3X32R33OfL748xMVmY1qXBv38+TJ8nu6Jk55/v5fuT1BllWONUfpjNV/j9fVbhMlDtN9PjjtA7HMkMqM5EgCPzH5go++2wru1p9OEy6WQeDaYmiyPLqQi6fF2NHi48WfTVNapgGd4S1NUaEEWy69KT7ZGy6fwdv569IRFtLpzIFmI3+1wVwkiTR1NREV1cXdXV11NbWZr0gKarKz/Z2I6sqRp2AJGjIBEVREafZlPpSgza8cPX8mWe/Rk7ClpSUsHz58hnvhne0eEnKKpvnuKbFY5uO6oclnmtLkEjR48udZpLJYMYaCLTguCZ1EWwf0wcnySrf2t6JO5TAHOzmuZ9+IfO7kuIi/vznP2Oz2ajLjyMKmt/i2YEI3ohEudOUQVKcHgiTY9Lx5hVFrK5w0OiOZPw+B4OJTOlJSXkLJmWVobBmIN8fTNDti3PnhlL+84lmnjg1hM0ocqAjwNop7HbSshl1vHVlEcGYxDuz2HOlVZRi7k03gAvEJN70+9MU2ox85dpq5uSfO6lvX1/KsZ4Qz9d7uGpe7rhFIZyQ+e1BbcL1LYtslIkBrl8xPjAVBIGiXDvhZIA2v0SxVcf71+TzuiXpoNA+amGfiE23Ps9K67D2mT51eojhcJKlpXZWlk9cMqrKNc94gTTq4PaVThaU5bG+yoHRoGN7i4/9nQHu2lg242k6VVU53R/hpUYPwbiMLyrTH0ygqCAIsKEqh7JU0OuNJvnyi+0EYxI6USsVIwjU5JoxZ0HWWI06PntFFZ96uoXHTw4hCNrG76ObK1haYmX35CxRANZW5vDBjWX8ZE8PvqSWnfSnTM7H9k1meHaDEQpqncSSyghkSFkmAzyVRFHMLNRpjUXYjFzYBUFAURRisRgmkwl/TOa7r3Sya0Sf2qHOIHFJmdLCKi1FVXnoyAAJSSvLjx1uzLfq2VLr5HBPiJN9IfZ1+EnIWj9sicOIimab9+ejg9yxoZQr6lz86kA/z9VrVYi3ryrmTcsLEQWBMwNhfnuwn4bBCDJakBiISTxxemhCh5WZal1VDo+ddLO/MzCrAA60QPD/XVPNF59r59mzw+SYdedtW3WkO8hldS72tPt5ocHDqnIHohhDzCliRa1zWmw6p1PL5s+WTfdvnVNnZyfXXHMN3/72t3nrW996QR/7f9WnMxa5kfYmzKYdzV6a3BEcJj1hpMwuUFJAP41q21A4wbGeABaDjk0z7NkJhUKcPn2aWCzGypUrMwiJmeqq+fnYjDpKcmZnRzNW7lCC356KkFRUjHoRWVExK1ECgcConVggEMCS9KOq6rgG8Z/v7+VMfxiLEuWFr90OSopTZjLxxz/+MRM4lDiM2I06wgkFWVVH0b7jksKuVj+CIHD1/FyK7MZReAlvNEmzO8q2Zi9NQ1H6AgkSKfcARYUdrX52tfl5/gPLuLTOxdZGL4+fGiYYk3A4ph8k37khexYscxxiSVwWHTpRwB1OTpm9VVSVb2ztJJxQiCRiRBKjm4xLHEbetLyQh44M8LNXe/nmjXNGPd6DhwfwRSXWVuawvFiPewIL0WfODPPno1q2TBQEPrTSSo0jic/nw+kcTZWfjE3nGvZgFcMUqAF+tV8mqYpcWhTH7XaPY9NdCL1pRREJWZvircu30DIc5exghCXTHA4CrZT9pefb6Q3EU+V2jcIvpPqoLq1z8bmrtKEgSVb56ksdDAQT5FkNDIcTFOWYcYcSLJikZ64q18yblhXxw93dgOZHeWmdi0Ri+mX0axbkMRRO8tuDGqA3mpTxRqVxAVmaZ9fgjnBxrROzQfMBPdgVnJLBOJUmQ9j09vYSiUR49dVX6U2YeLLXwmAUFAV0ooYVGQon2dbs5bqFk29gVVWlfjDCiw2eFJJCRS9AInXKC2hDAzdelM8HNpSRkBX+eGSAPxwe0DxZZYX7dnVj0Am4zHrCCZn79/RwuCtItz+OxaBlItdXnwtOLyq28a0b5mh9ja+00B0GSYXHTw5x98byCzI5umFEAJfNg3m6mleg+dF+5aV2/nx0kByTftp+vWPV7YvzzW2d6ESBtRU5vNrh12wegYHUMMJUbDq/339B2HT/lqY5c+bwvve9j/e///3cf//9/PCHP2TFihUX5LH/VwRwM0FupHVxrYvBtWUc7g5wqi+ERa/160zXNmRbqrl2S51rQobbWCmKQnt7Oy0tLVRUVLB69erz2uGYDeKsS6fpPrL0cZIVlW+83EY4qWI3CISTKqBg04u4XK5Rpd1oNIou4kGRFJr6kxw4dJg8l5PDHh0v1IcwiiqHfvSfyLFQ5j4/+MEPWLNmTeb/giBQl29hIJREVkbTvvd1BIgkZJaX2bNmGHItBtZWGXjmrAd3KIleFLCb9SRlBUlWSSoqFr3Iwa4g25t86EQBbySJosLZgCHz3mcrRVV5od7Dt7d3sbEmh1yrnqFQEv8UxPbHTw1xuFvLHJr0Aq4sgw63LC1gW7OPBneErU3nUAAtQ1Ger/dg1IncsaEUOTCxAfzFtU6ePjvMomIrZ/rDtEcMIEjYIx7mqCoul2vS82Pkwr5wAfz2YB9Kl5s1xUYqbYxi041skj/fHfvp/hD/8Vgzl9W5WFPpoGU4yqvt/hkFcPlWA0lFwW7SEYzJ6IRUiU6AugILH95cljFl1+sELp+bS1xScYcTCIJAhcuIO5RgftHEGZWBYIKnzw5rmSdV5VBXkLevkpnp2MrbVhbR7Y/z5Olh4pJKry8+7vue5tmN9HVdXGJj8QyOSVqSrBJJypPagqUXdkmS8Hi9nJGKeOToIMGE1o8qoFJslLksL8if/Xr+crSPi8uNOOz2cd8pX1TilRYfLzV66PZpfZECWkBtNujINYgE4zKRpEJSUTKfSygu83KTD7tRxwdTrQRPndFcAqJJbbApklTY1uwj36rnro1lo4K3ke9nY40T8SKFBimPh04Gued1NRckeAOYV2jBZdHT7okxEEycl5H88jI7n7y0km9v7+Ln+3qxm3RcOgv7spIcI5fNdfFCvYf9nQEEATq9MXSiQG8gPuH9ZsumS2/k/q2JZTQa+fKXv8ztt9/Opz71KdasWcMHPvABvvrVr2YcO2ar13wANzAwwJkzZ3A4HGzevBmLZXqpbKNe5C2rSni+fgjQIIbeiIIyDWjhSPbbdMungUCAU6dOIcsya9asITf3/I2hZ6sX6of4y7EB/uuyai4q0bKUOlHgpsWFDPkC9AZkUFXMBj1zK4vR6QZH1e9jsRgrVyyjrquVtuEoosNFw1CQP5yIIysq3m0/Y7DlVOb2d955J+94xzvGvY7FJTb2dgRQVHUULPLlJq3f7qr5kx+jTTU51OabcaSswBwmHXaTDodJh8Oso3koiiBANKmgKJq1kUfW0e6NM79Yg+72BxMMBJOsmKQsOFLdvjj37+1hf6fW4L+7zc+6SjtDoSSDoeSEAVz9QIQ/HBogkTIlNxt0mTH9kTLqRO7cUMqXX2znd4cGWF+Vg92k42ev9qKoKm9aXkSJw0hPYOLX6DTreOuKIh5O9axtb4/giSS5sspIgVW741RBXFpD4STPnPGg14nctaU20zcmSdKo0mtXVxeJRAK73T6qr2a6O/YmT4JvvdpKQlbZ2uTlnauKefjYIK92BLh9Bgb0wbhMpcvM4a4AqqoiigKkJmk7vTHe96cGlpbaWFuVw7oqBzdelM9AIM6TZ2JsrnVyx4ZSGgajLCjMfh0JxCS+/GI73kiSy+tcBOMSZwYi3Lujmzcvy+WJXiv9xwZ5+xS2eKAFGB+/pJJuX4zrFuaxKEtQluHZDcfOiznmjST5xrZOBMgMX0ymQFzh12cV2sNuYiljdwEVq9HAXRdXsiRX4ZXBAfoCCR7ZcYx5DkVrjnc46I6b2Ncnc6gnhJQqbZTlmLh6QS5z883c82IHG6tzuH19Kc+eHebn+/qQFQ3boqgq9+3qJhiT2Fzr5NqFeTS4o/T44+hEgYSkbdBkRUVSVHoCCe55sZ0lpbYJy8k6Ea6da+cdG2rRiUKGybe01D7hwMl0pBMF1lbm8FKjhwOdAW5aPLtKSloba5zcvUnmJ3t6uG9XN3aTjtUVM+sB1YsCd28so8Rh5HcH+zUYr6ISl1X6AzMbtBrLplMUhXA4nDnn02w6s9k8qvRqt9tHOer8W5qqqqp4+OGH2b17Nx/72MeYN28eX/nKV7j77rtnfbxeswHcbJAbYzUYTDAQTFBgM/DF181BVbXJqKk0E/abLMu0tLTQ3t5ObW0tdXV1U07//L3li0r0+OO83OjJBHCqqjLPEmGuMUyvYGZecQ5dvjh5ViMojAuMI5EItXkW2j0xeiUrj7aG0ekNVAfP8ofn/5y5XV1dHddccw0HDhwYdZJbrVaWpozMFZXMJPBAMMHJvjA2o471U8BCr8kyjTZSaysN/NclFXxvRzfBFJg3oQrsaQ8wv9iBosJHH29GVlQeftdFk3LbkrLCX08M8eiJQUJxmaSsDb5cNS+XHLOepqEY7nCSbK6pgZjEd17RhjqMOhEVzQrIOkHmdlWFg401Tl5t9/PgkQHm5ltocEcoyzFx69LpLRLP1Xvo8cdR0Y6pQSeSFLUFLl0SH7nb7vTGePDwABUuE+8eMfDx56ODJGSFaxbkZYI30JAGubm5ozYiI5EGfX1946CzExHlWwLwYLOPQEz7DqypsDOnwEKly0yXL0bzUJT508CA7Gnz89NXewnEJJwWA6G4TDyeTAXMQmqiVmtmP9Uf5jcH+iiyG+jyJTDoBN62sohci4EN1aMX9XTgFJcUvvZyBz3+OAuLrHziskrCcYlPPNXKwa4AeRaRxpCBYJOPt6QmQ6eSXifww1vnT/j7NM+u0R2h1TO945BNJr2W7er1x/n1wb4p2wO8MYW2gIrRqAGjBUEAVctiXr6gAFEQeMsaAz/Z00OHrpwrF+TyQv0Qu06E8Ma04FkvwvJCPVfMcbCqOi8Dnf3xbfMoS7V9vHVFMX85PkQ4IeOy6Hn6zDDHekLk2wzcvalc+/6Yddx4UT7+mJyyBZPwRCTcoQSRpILDpJtWL2D68/jDYQ0MfOvSQt67dmbDTWO1vsrBS40e9ncGzzuAA+2aFozL/P5QP9/c1sn/vK6WhcUz+8wFQeC2pYUU2Y3cu7OLoVASWYWmodHtLmlI8qGuIPe+fm7Wns+RSiNsHA4H5eWaB7EkSZlz3ufzjULYjDzvzxdh879Jmzdv5uDBg/z617/m85//PE888QQvvfTSrB7rNRfAqapKb28v9fX1M0ZujFUaqrmk1M68wumXJKbLfvN6vZw6dQqdTsfGjRtxOGY/UXchdfncPH5/oJddLV4+uKkCKRFLTcKGaIzZEEVYVZGDUR/SJhx94ydowuEwNXlmVFXlwZTFzaIciV986u7MbSwWC4888giVlZXjFnZRFNFbHJmSymAwCrjY1uxFVTX223SboyfTljkuIkmFH+/uwZdibW1r8fPedVpzfHWumSZ3hG5/nNq87FmXuKTwyada6PTGkBSt6VwEbGYdty0t5ETqe5QNJaKqKj/c1cNQOIndpCOWYp7pRAHTJNia29eVcKQ7yPP1Hsyp43DnxtJpwYEFQeCO9aV88qkWEpKCiIbwiCoiubm5eL1e/H6txzDd+6aosL8zgC967nPu8sXY2uTFqBN564qpWVBmsxmz2UxRkXbbkTt2v99Pc3MzkUgks2N3Op20hg38vlEllFQ0rp0IF6d6uzbW5NB1LMbe9sCkgUsgJvGzV3szINiNNU4+uLGMZ88O88v9fVgNIooKBoPA+ioH1y/K52BnkANdAdo8MeKyikkR+MyzbaypcLC20sHKcs2vU1FVPvdcK1UuE55IkvrBCOVOE5+/qhqjTuAnhwZYW6kt4i80+nDoFYbDSU71j/fanK3SPLtG98wDuC5vjFyrHrtJnxm+eObMMAsKrZOW6Kqdei4uEdjj1oa8jHqRWFIZNYF8cY2Tn73ay572AMd6w2jxkY75JXaurMthZaFIMqJlaU+e7BnFpuuPnGPT/eEdC7EbdbR7Y3zyqZZMZjKN0inLMfGBLAGnqmql1GhiZsDaq+fn8fipIV5s8PCWFYUzQgyN1bIyOya9yJmBMMG4lJWrOFPdtrSAYFzmsZNuvvJSO1+/fs4o1uV0tbnWSb5Vz+eebcUdljR7rKScafkRBIFOX4zeQJxjvSE2ZClDTyW9Xk9eXt44hM3IXrr6+np0Oh3PPfcciqKwfv368y4dvhYVCoU4deoUJ0+ezPxJJBJ0dXXN+jFfUwHcSOTGkiVLMuyb2WpkADddJeWp2W+yLHPmzBl6enqYO3cu1dXV/7Cs28sNQ3gjEpfNy6Nwgl1pkcPIsnIHx3uCPHmwCWeok7KyMqzl8xk820C+WeADm84xiQ4das0ewOUWEU4ohBMKS0tt7Pju7RlYMsC3v/1t5s2bBzDhwm4QB0koKvvOtFESbuOZZiuyLLCuVI+iKBfkuL1uQR7hhMwDe3qISipdvgQNgxEWFtuozjXR5I7Q5olNGMCZ9KKGpFBUBkIJVFVBNOioyTOzuMRKX1DrLck2ifrE6WEOdgVwWvQEY5IWgCkqVoNu0uC/0G7kLSuKeGBvD8G4zOsW5M0IqTG3wMKVc108V+8hJsmAgC8qaZ6aqorP58Pn82UyZIUZR4lz7yEQkymyG9hU6xyFbZiusu3Yk8lkJpjf2TzMnxplUlQKRMCsE5mfq0NVVTZW5/DIsUH2dQQm9HXd3xHg/r1acO4w6blrYymba7VBjVuWFPD0mWHcYS0Lp8haRmt1hYPVFQ6u8+TykceaMepV6vLNdHrjbG/2sr3Zi14nsKTExpw8bZjiRG+YaFLDV3zh6mpyzHpah6PsavWjqCqFdiMDwTiBpIjBCNubfRcsgFuY4tnVD0a4cQbN7YGYxAcebSQqyXxwQxlvW1XMf2yu4DvbO/nxnh6qc80TBgZNniR7+lUEHdy1sQyTXuREX5iV5Xb6gwmer/ewrclLMC6TVLSyZkWOCX9c4sObykaAk88NSEzGpjPbHNx7RCsTv3FZIUtKp95QC4KAzagb5SIyHVW4TKypdHCoK8i2Jt+sBwZAuzasqnDwarufw12hC8KZEwSB96wpJhCT2Nrk5csvtvONG+YQDCd4acBM2WCEBdP0DF5UbONHt83jM0+38olLK8ZtANdX5XCsJ8T+zsCsArhsrz0bmy49uLd161Yef/xx+vr6ALjrrrvYsmUL69evZ9myZTMmMbwW1NnZyeWXX05bWxuqqmIymVi8eDErVqzgtttuY/369bN+7NdEAKeqKp2dnTQ2Ns4auZFNJ/vTAdz0F0aDTuS7t8zndF8oK/tNlmVOnjyJzWZj06ZNo/Abf29JssJ3tnXgjUo8eXqQP7xz2YS3vbjSysG2YbY2xvjaTavJy8vj/t3aTmBtiWFcz9HYEmo4HKa0yES6cy2v6VlOnziW+f3NN9/Mu9/97qzPPXJhr84L0huIs6SuGtUJvjNuiswKoa4GdrSfHsUqcjqdWVlF09FtSwvxRRL85uAAkqLy01d7+cEt81JBm3ccDmWs3raqiC8+10pSVim0G/BFJa6Zr2Vg0+WbU31h/nLczfwiC3PzLViNOgpsBmxGHRfXOHn27DBrKx3s7wxk7X8bq4VFViRFG5qoy5/5Dvydq4vZ3e4n6JcBNWPX5HRqKAG/34/X60UQBBwOBzajDm8kmZkEXVxi4ye3zR81YHK+MhgM5Ofnc8qn468dYUSDDpOQ1EyzVTAKMgONx/G26XE4HLiMIj3+GC3uEHOLzp2nobjML/f3sb1Z65dcV5XDhzaVjepBtBp1XLcwjz8eHSSWlNGJIiOrmg8eGUQUNMbYu1aXMBxOcrAryMGuAMd7wxzrCXGsJ4SsqJj0AjFJIJpU+P6Obu7aWMq8Aitfu76We3d0MxhKkJRVJAUSCZm97X7u2lh6XtmdtNJZtwZ3ZIpbnlNcUvj8c22EElp0nLai21zrpGGwgCdPD/HNbZ187+a6cQFQpzfGT4+GkFV4x4oirk1NmV4+VyuXd/viPHbSTUJSKHcaGQwlMekFavJMHOxKZDLdIzURmy7dR/n7Yx46vDLFRok5iXbOnPFMi003W928uIBDXUGeOjPMtQvzZoyqSasvEEdA1XiDKT/gluEoV87LnVXWLC1BEPjQxeWE4jL7OwPc80I768otHPUZKar3TDuAA6hwmnnwHRdl/d26qhx+9movB7uCSIqaGSS5kEojbO6++27uvlur0Gzfvp3Xv/71VFVV8cQTT/C5z32OeDzO6tWrWb9+PZ/97GdnTWf4V5Ner+eWW25hxYoVrFixgkWLFl0wPMu/fAB3oZAbY+WJJOnxxXCa9VS6ZlaCrc61UJ07OqBJJBLU19eTSCSoqalhwYIF//Ca/9Onhwim0hkVzuwXD0VRaG1tRe1txaTPpTtuQrQ4SEgKrzRrgxlrS8Z/Lcb2LSUS2tRVpcvEYDDGj3/4g8zvcnNzuffee6f1/n/z1oWZf9+7owudTsfNK0vZsjifaDSaydZ0d3dz9uzZUdDZdE/VVCfDH4/081Kjj9vXFjHXnqApZMosWumL7GQBnKyo3L+nhx5/gjmpTI1BJ3LFPBdwDubb7o3ReVjjtImCQFWuiXkFVt62soinz2pl98vqXDgt+nGL5vZmL6vKHRmTcUlR+cX+PmxGEUlWefzUENfMz5uRCXmu1cBbVhTx493dJGQNE6OqaqZ0qqoqgUAAj8eDIAgU2g2EPTJD4WSmR0mzy5rZ9zgpKzx+aogr5uZmzdypqsquVj+yorK42Mbxbj+lDj3DMVhX4+SyS5cTCmmw4YtcHl7pkfnTjhNcXakjJyeHjriFP52N4I8p2Iw6PrChlMvqsg9l3HhRPn89OUQoLqOiZBbqswNhDnQGcJj03JYyRs+3Gbh2YR7XLswjllT4wa5umt0RBkNJYkkFvaix+A50BjjaE2RNhYNPXFrJD26ZywN7e9nZ4iOaFFAVFU9EYl9HgMvn5maO+WxVZDfgsugZDCbwRiYelElLVlTu3dnNmRQE16IXWF99DhPznjUlNA9HOdMf5t4d3XzuqqrMhs0TSfKVlzqIJFVWF2p9gWO1stzOtQvyeLbegz8ms6rczom+MO5U9nYmtmBOp5OmgMgBtw+HRc8918/HTizDpmtpaUFV1cxGLn3Ony/CZlmpjZo8M+2eGIe6glmnWKejXx/oY3ebn3BC4aVGre+03RtjSYntvAI40AYSbl1WQCgucXogwgFVQUDr9bxjfWlWt5aZqsBmYG6BheahKPUzRPacj9Il1M9//vPk5OSgKAqNjY3s37+fffv2YTbP/Nj19PTwne98h7Nnz1JRUcF//Md/TIrr2LZtG1/5ylfG/fyJJ54YhVU6X5WVlfG9733vgj3eSP3LBnAXGrkxVqdHlE/P50KgqmpmEjadISoqKprRY4biEr/d38sHLy5HP8tpFF80yYOH+pAVDcDrzIKo8Pv9nDqlTYdesmk99UYv25s97Gj2kmfVmr7n5erJt4zf7Y499rIsa03yKgSjEpXv+Q7ND9yNmozzzW9+MzO5lE19gTi+qAbuTSMNwgmZve0BdKKQWYytVitWqzWzY5dlObOw+/3+UdDZsayi9I69xx/ntwcHtD64vX3cXhGheski5pdoJ+hIIPFEC+1DRwY41BUk32bggxvLePL0MGaDmOl3cZp1md3rG5cX0uiO0uSO0u6J0e7R+uYCcRm9KPDM2WEWFlmZX2jNLMbtnhg/2NmN2SBy/aJ8bl1SwM5WP23DUebkW6hwGtnbHuD3h/tnDCG96aJ8/nLcTacvrvHnklrQkx5iUFWVYDDI8PAwuWaRdrRScNl5sAX/eHSQv51w0+6J8anLq8b9XhAE/vuKSl5s8PDrA/3oBKjIMTAcS7Ks1IZOp8uw6V5vymfv0y0M6OyUVbv47WE3+3p8qKrCHJvEG+v0VDKM253M0ORHKtdq4Kp5Lh455kZStOBGVVV+f0hzTHjj8sKsJTizQaQvEMcdTmqwXp2AKoOIiqRCXFLZ0x5gaYmHd64p4ROXVrCsxMwPd3TgT+qISQq/OdDPqb4wZwYi/OjWebOeIBUEgQVFVvZ3BGh0R1lRruOlBg8/39/HvTfXjbPl+9WBPna1+pAUbdCm3GkaNW2p1wn892WVfPzJFg52BfjrCTdvWl5EJCHz5RfbcYcSLC40cFutlPV80IkCd19cTpHDyO8P9XN2MIqkaH63AuDJYgsmyRozMqmooyzKvNEkP0rx9O5YX0pNgR2wZ2XT+f3+C4awEQSBGxbl861tnTx+cnBWAdyp/jB72wOggl6EmKRyrDeEosK3X+nkIxeXs74qB+sMS7xpDYWSfPG5doodBgpsBnoCCURBJSErbG/2XpChCdDKqM1DUQ50Bv5hAdxYiaLIwoULWbhwIe95z3tmfP/h4WE2bNjAihUr+OAHP8iLL77Ipk2b2Lt374RB3ODgIEePHuWJJ54Y9fO/h2PC30v/kgFcGrmhKMrfDblxchb9b2MVi8U4e/YsHo+HRYsWUVpays6dO2f0GLKi8tmnm9nf4efhY/3s+ui6Wb2WPxzswxdNohe1i9PIopcsyzQ3N9PR0THKneLK+QLbmz1sbfSQmzKJX1+WfXc/dsw5mUwyEEzQ5QmjCiJGZzF6aw6XrFk2JW360eNutjZ5+e/LqzLG5bvb/CRkhfXVObgmyDKNXNgrKzUvyzR01u/3Mzg4SHNzM6qqart0m4P7jiWIpSC/K8vs6IQBake4H9hNOgrtGvvLG5XGeTvubPXx1xNujDqRz15ZxbwCK58qso1iyd23S+tT0wla8PM/19YiKyo9/jiN7iiPHB8k4o5iFIXMBGRaRXYjlS4jVblm2oZj/O2Em6fPDBNJyIgC3LWhjJIcI0d6QrzcqHHhFs6gfGLQidy9qYzPPtuGpKj0BeLMTS34giCQm6tliEKhEDYS2kDJDHxds5H4b1lcwAv1Hna3+blmQShrL5hBFNjXEURWVDaVwNoqMyV5jnEuD/MLLeRZDbQOx/j89mECMYUcq4nb15ewscyYydBOtLDn5ORw69JC/nLCjaLAcETiUFeQMwOaZ+n1iyaeZL59fSneiEQoLhNK2YKFEjLuUJJ2Twx3KMEblhVkjuVlc5wE20M84yumcShGVFIyTeKnB85vqGF+gYU9bX5+f7ifb25LMBROogIff7KFJ96/NHO7J04P88yZ4dTnornLLCoevyjnWg389+WVfP65Nh46MkhtnpknTg/T7olRl2/hjmVGYiH/uPuN1G1LC3CHkjxXP4ysaJlXURCyllCbh6N8+ukWFhZZ+daNdYAWnKWHizZU53B1FmzQRNDZ9Oeezs7H4/EZIWyGQkn+cHiAuKyyuz1Ikzsyom9vap3oC7Gr1Y9ZL2Yyj3DOXWIgmOTeHV2Y9DrWVDq4ZI6T1ZUOjCN60F5p9rG2yjFhD58/JlGaY6TTG0NFy8onZK2Z8/kGDzdelH9BqjzrqnJ46MgABzqDvG9tyWtyWvSHP/whiqLw17/+FaPRyK233kp9fT333HMPjz/++IT3MxgMXHbZZf+w13mh9S8VwCmKgiRJ7Nu37++O3EgPMCydxUVVVdXMdE1hYSFbtmwZV2Kcrn57oJdjPRrctdgxu6xH63CE5+uHCCcVUMGoEzJcteHhYU6fPo3RaBznTrG83EGe1UCjOwwI2IwiK4oMwPiprrG7W0mSqLRKxCJBREsO6HTY8kq47777prwApH89Msjc3uwD4Op5MwvWJ6LJ+3w+fnZwmHaPhKqCDjDEvWDWMpG5ubmZoLQmV6Pvt3tiowK45qEoP9rVA8BHNpczb0SmY+R7nFdg4UVBc/FIg3p1okBVrpmSHCO/OdhHjlnHfbfMJRiXM5ZgTe4og6HEiIBJJZJQ8UYlFBXMepHdbT7esaqYt6wo4ncH+7l/Tw+Liqw0D/h515zpHaPNtU6umOfksjkuqsfYXAmCZoKuKAp5lhiKLNPni07wSKP12Ek39+3qYVW5ne+/fm7m506LnnetLuanr/by83293Pf68dmnXW1+TvZpuIjLyySqC01ctax03HPEkgoGnUAwISOrKhuqc/jIxeWZAR273U5ZmTahmI1Nl0wmsdls5JkMDEbBHYzx+8Na9u3tq4pHLahjNdbjdzrKNSr89A3z+eupId66oojHTw1lvH1nE8CF4jI7Wnw83+AlEJM52RfOuEsYdQKfvKwyc9tdrT5+c6APSUlPjmrDIBP1Sy0qtvH+daX8/NUevvh8O3pRoCTHyBevriY03M/kXaHad+cDG0rxRJLsbvcTjSsIgoAnMn6Ypy5/PM9uf2eQQ11B8qwGPnxx+bQDB51ONyOETfp3LpcLo9HIoa4g39jWwUBQe506AZ4+M8x/XTr9AK7DE+O5sx5ikjLOEkwALq5xYDcZONobZG+7n73tfqxGHRuqc9hS6yQpq9y7s4sih5FPXlqZ9TOqK7Dwg9fP5ZUWHw8dGWAwmCChaHP79YMRTveHzysBkVZ1rolih5G+QJxOX3zcNeK1oBdffJFrr7121Dp8yy238PnPf37SFoZwOMxtt92GoigsX76cj33sY5mJ2teC/mUCOK/Xy4kTJ1AUhU2bNv1dkRvBuESHJ4rNqBvXyzaVIpEIp0+fJhQKsWzZssxk5WwUTsjsafOSlLXehuXTnDJUVJWTvUFt+ktW+e3+HqIJDReRVDVw7dl+rXewt7eXefPmUV1dPe5LrBMFLp+Xx4OHelFVuGZhPiZdDFke/5zZArgffO+7hP3lOBasR9AZeNt7bqeqanzJbKx0I9wf0vrMFVXsbvOfl3k5nNux7+yMcdwjIOh0GAUVvSBQ4DBDEurr6zMLe05ODvkGbaFr98RYlQJneiNJvr61g4SscOvSwkmRC/MLrYgCSGgZqZE60BkkFJdZWmqnJjXlurT0HHtvOCxxoj/ESw0euv0JBoOJTGQbkxQePDLIKy0+fvuWRTx7xkO7J0pvIEE8KdFfMr3hAkEQ+MrrJo72BEEASw7FjjAQpXMoQDJZNOmgUI8/zs/3acHC2cHxzfXXLMjjpSYvLUNRnjg9xBuWnSupRxIyvzmg9Qresb4Uk7c163OoqsqXXminxx9HQLMau+eamgkvxmPZdKqqZmjy/2n0IkVDnB708myfmRKrSJUwzNCQnJVNdz7S6wTeuqKIaFJmY7WT3x7sZ19HgDs3zMzX9cUGDz/f10dSVkjIKipkEDYOk44vXl3Nxhotg93ojvCDXVop0mXRE4rLFNj0uEPJCaHEADcsyuPJ00OcHYxg1ot87soqcq0GQsPTe406UeATl1Xie15if0cASVFp944P/Qw6kbo8jWeY5tmtr3Jw54YyKlym8/Zyngxh09raysDAAG0dnezz2dkzZCCdNHMYRcwGHbva/Lx7TcmU09bhhBZQP1vvQVI0KLfIuS2vKGifzXvXlbGwyEowLvFqe4CdrX5O9YfZ1uRlW5M3Mz3b64/z2WdbeefqYm5ZUjBueEwnClw5L5fNtU7+dryfPx7qxZfUEZc0htvIjdNsJQgC66tyePL0EPs7A6/JAK6jo4Orr7561M/Ky8sJh8MMDQ1lbekRBIEbb7yRN77xjSiKwv3338/PfvYzjh49msn2/qvrnx7ASZJEY2MjPT09lJeX09/f/3fnpZ0diKACi0vt076gqqpKR0cHTU1NlJWVsWLFivOehLUZdbxrTRlfeq4ZRWXajCcB+PRTTZn/K4qKrCgkRwREQ4EQkYiBiy++eNKa/uVzc/nVPi3LdMXcXAj3Zb3d2BJqfX09P/3pT3GsvE4L4ESRLVfeMK3Xn75IKSPKkC6LfkaIhJGSFXXU59jmifLLA32oaKU6VDAZROrKi4i397Bu3ToURcns2K1JP8kk7DndSq3cjc2RwwMnEgyHJVZXOHjX6slxNfMKLKmgVCUhjw6qtqZcJa5MDTyMlCAIFNgNrK/K4b6d2uJrNogadFdRSMpagD63wMJ3dnQyHNGAnNGkDCqc9MC1szpi5+SNJvnW1i5e7fDz1hWFCILAUERmYGCAkpKSrH1FCVnh29s7iaQmHKuyDAHpRIEPbizjv59u5eFjg1w6x0VBatjjT0cH8USSrCx3sLE6h2Pe7K9NA5IWYNAJtA5F8UUljvdq05GLi21TgkcFQRi1sCdkhT/+pRGDIcEbl9hJJmKj2HRje6pmm/1XVZWvvNTJrlYfd28qozbfQtuwlnW9KEs5cyJV5ZpRVBWnWc/QiDKdXidw00X5mc0GQHWumTUVDpKyyuHuINW5JnoDSfQ6gTn5Ewdwz9V7NNCzKGAUBZ454+Ejm8sz72M6AxgmvcgXrqrmjocb6A0maJtgIGhBkZUGd4SGwQjzC61aH9osz/mBYIJC+/hp+bRGTrr39fVhKyjn8RNhznjCRCUFUdD6GTe4wiRFE0e9Oh4+2MF715WNg86qqsrpgQgvN3rZk2r1AC0ojUsKTovmAjMYShCXtHPWkLoeOUx6rlmQxzUL8vBEkjyachcZCGkbtaSiEkrI/HRvL3vbAnz+qqqsQyomvcgtF+Xi9DZyRKnh5ECYb95QO6tjl03pAO5AZ5A3L599UuKfpUQiMY6UkF73JvIovummm3jLW96S+f9tt93GRRddxP/8z/9w//33//1e7AXUPzWAc7vdnDhxAovFwqZNm7S+qoGBv/vznk71IC0pmV76ORQKcfLkSZLJJKtWrbqgEMJ9HX5AwKgXKHNOr4QqCAIbapyIgoBBJ2DQiQSiSV5u9JCUVVRUjAYja9asnvLiKykqgqDt7CfDYY4N4D73uc8BEGo+hKooiDodvcEsqbusr1/7+3zpFAlZ4Ye7emgeivKT2+ZlgrgKp4lr5ufR6Y1xqj+M3aQnmpRxmnUMMn5htxTG+VtXIzGDjYICG78+4qXBLeHSS2y2BKk/G550YbcadRQ5jHR448ST547iUDjJ0Z4QFoOOTTUTTzVZDSK3Li0kx5yyAUvZgqX/2I06fn2wH0XVLKFQtUbmE8NkFthoUqZlKIZJL0yrl0dRVV5u9PKr/X30BRMoKuxo9SOKIt64iizLDA4OUlxcPO6z/9X+Po3qLmgXkInsiOYXWrl6fi4vNnj41YE+Pn1FFW2eKE+fGUavE7hzY+mU38/FJTaO9YYYCieJBhP8YFc33ojEva+fO2lgkk3PnfXgDie5qMTO9StrM889kk3n8Xhob29HkqRRCJs0dHaq16uq8Iv9fWxr9qKo8EKDl6vm59I2HOXV9sCMArhQXMJh0uGLSph0wrnzVFV58swQLzV5WV3hYF2VgzUVDj62pYIP/60RgHetLqEq10yPPz4hEHtfR4Cf7+tDEAQ+cVkFDx4e5KVGD/MLLQwPx3ihReYLZTHmFkx9nHPMer514xx+tLubj19amfU2C4qscBoa3FFumvZRGK/9HQG+v7OLNy0r4o3LJx6WSqvBB0+dGSIiQVJB871WVUocJj50zTw63X6OvjLEy80B6uQurEZt0h2TnRM+Hbu74vSnjOB1ouavevX8XFqGojx+aoj3rC3hsjonH32smdMDEWKSknVgJc9qAEHAG5XQiyIJWUFWQFYgoijs6wzw/kcaeOy9SyZ8Lxadyheuqsmc9/2BBAe6Atx8ngMNC4utOEx6mtwRhsPJWXEf/5nKzc1leHh02jj9/5GOMyM1NrFhMpm47LLLOHbs2AV9bZ2dnfz0pz/lzjvvpKam5oI+9j81gIvFYtTV1VFRUYEgCPh8vn/I86abyKfqf0sjN1pbW6murmbu3LnjFrM+f4zSCZAdUymckNnXroFATTrdhOiPbPp/r6vL/FtVVX6xoxGdKiOIIrcsK+Ida6bXU/JyoweTTkRWFR491s/GfIm5zvH3myjbmPD0IioS6PQ0DU2PU5VOlp2npzxGnUiPP05fID6KfG9I+Yl+9DEtS2kzikSTmlXPYJbHKXEYMepF+kISR/xmjgwLuGxmvn5tFQ4hnlnY29rakGU5K5uuNs9MhzdOYkRUuj3lKrFljnNSVwlBEKa09PnAhlKiSYVtTVovlAoMRrXm8HkFVo73hvnG1g421Tj59BWTl7HTfq6n+8MEYnKqbxI+fmkF39neTSChgiCSTCYzQVw6aN3d5uf5eg+yomLRi4Aw6ZTdu1YX82p7gL3tfg51BXj0uFvzdF1aNK1J12hSYWuTT8s6QgaTk61RPq1nzgyzo9XHW1cUZbJU4YTMoyfcALx7DBQ4zaZLb8xUVR2FsOnq6iIUCo1D2DgcjlHnhaKqvDho4VhwGEXVPDjfurKIeQUW/nhkgH0dAd6/buom8UhC5lcH+ni5UUtNzi+0cLArhID2ObksBrxRCUFQONAZ4ECKP+Y06xkIJVhUZGN1hR1RFMcZrKeHTuoHI3zvlS5UVeXODWXcsCiffKuBb2zt5Of7+lhZKOKOat/h6QRwALX5Fr7/+nkT/n5+qpQ7E55dNjnMOpKyykNHBphbYJnSx7g/KhBKKJgMOlRFy86ZgDctL6LQ5aDQ5WBtq8TRniCJkiWYdTKPNno4PqCVhFFV8s2wqczIZXU5VBblYrPZWF5q5+r5uZmM2eeuquI9f2og36rPuKeM1YoyOwadQCAm44tKBGIS7nASdyhBOKFwcc30pmEFQetz/txzrQyHkywqss5oCGOs9KLAmkoH25u9HOgMcN2i15ZTwsqVKzly5Mionx08eJD58+fPiMXqdrtnhTCZTHq9nt/97nd861vf4rrrruPuu+/muuuuuyD9/f/UAK6yshI5W8PV31FxBVqHY5j1InWT7OD9fj8nT54EYP369Vm5MIPBOLf86jiiAE/dsYKCGQ4h7G3zkZQV5hZYqSuwarZVM1QsptlgHWqLYTGZ+Mgl1dy4eOpdKZBhvxn1IpIM25u8DHn1/Nfq8cdlskWn0mWmKwztnvi0njdbCXW2unyui9bh6DjyfetwjE5fnCK7kUXFVnr8cVwT9NnoRIGaXDOn+8P86kA/oqD19aSRBpMt7Gk2nUvRnltWVJLJJHq9nq1NPgCunOFgRjaJgsBHNpcTSWo9OJGEQkyGnS1+5hVYp8WzAzjaE+SrL3cgyVo2z6gTSKDx8FZX5FBgN9Drj6N35KGEPCQSCdxuN0VFRfQHE/x4d0+qNC2CoCKmaPgTKces591rivnJnh6+90o3kaRMscM4qiduMhU7jNy6tIBHjg0SSSrEJQmrQYc/NnEA54kkaRjU7NHSAdzjp4YIxiTWVuZMmQWbDcLG7sjhj2djHPMZialaic5h1LGy3E6uRU+500SPP54JuCfS8d4QP9zVzVA4icWg4/3rSrhqnosP/62JxqEoekHL2DhMOj6yuRyzXuRAV5CDnQE6vDEUoGkowl1/bWJtpYN1lTksKbGh1wm0e2J84bk2rlmQywsNHhKywm3LCrnhonyGQkkeOjLI5lonu9v8nHLLqCrsbPXzvrWls0agjFShzUCe1TBtnt1YHe0OsqLczkXFNt63toRf7u/juzu6uPfmugldZwA2Fau0RPV0B2XybEa8UYkiu3HUBPIlc3LY2+7nvl292FKQbZPRwJW1Li6fY6fMlM7SDnOkuy3DpnM6nSRTQX11roVn71g66YZmfXVOVmSJqqra5PkMeiR1osB1C/N48PAAT5we5pOXnR/+Yn2VFsDt7wy+5gK4973vfdx0003s2rWLLVu20N7ezh//+Ec++clPZm7z0ksv8bWvfS3DefvZz37Gm9/85kzP7NNPP82zzz7Lj3/84wv62srKyujo6ODJJ5/kgQce4KabbqKqqoq77rqL22+//bz66P/pPXD/aMVlgXVVDkwGPfosE2iyLNPU1ERnZ+co5EY2/eX4ACpaKdA8C9bPtiYNnHv7hnK21M1skVdVla6uLhobGykoLGJI0aHXKVw2d/qPc7grQCgus6LcTlJW2N3mp8UnE5fGB1aKkr3Aeuutt7JuXhGPHB/M0N6nUrrUKU8RwN27o4vFJVYurnFim8BjcMscrUl8LPl+a4rQf/lcF29fpfWwSdLEi36h3UA4IWM16vjAhhJWV4zvw5xsYVc6hnm8TcumvrJzFx7VRpfHSKnDQJlZuiC2YHpRmzqMJBR2tfqQVW167n3rSiiyG7AYdPQFE8SSyoT9YQuLrBRYDeSY9TQMhtGJAna9mKHRF6UCOF8c5hYVMTAwQCwWo2/AzXf2B4gmZealwJ/VuRY6vDEsU/SiXTU/l+fqPRzpDmI2iHxgfemMfG7fsLSQrU1ewl6NO5iQ1UkzcOnFfKS1Wbpp/F1rZme/NxnCZtjr4yf73JwYVlJuEiqKIFBm12EVZQTBwMaaHP5y3M2+9kDWAC6alPndwQGeq9fKPsvK7PzH5vKMy8d71pbyja0dhBMKwbiEzaTDatBxca2TLXNc/PZAP4+eGKTIbsSk1xh2z5zRkCJWo45V5XYUFQJxid8c7EdVYXNtTqa/88VGD53eGJ3eGE6LnuFgHEHQ7LiO9gRZW3VhbJbmF1rY15GkwR1lQ/X0A7jtzV6++Hw7NqPIg29bxI0X5dPgjrKr1cc3t3XyjRvmZJ0oVlWV57oEugISBXYTX3ldDbva/FS4TBh1Ivs6AjxXP8zx3jAJWUVWVSosRvwxmVyrgf+85Bx3Md0In550T9uCTYawGVuxmezYTHSNm0yvW5DHI8fd7G33MxQqyfSZzkYryzXMycn+EJHUtfC1ouuuu44vfvGLXH311SxYsIDm5mZuvvlmPvGJT2RuMzAwwI4dOzJ2jzabjRUrVuByuYjFYvT09PDlL3+Zu+6664K/Pr1ez2233cZtt91GU1MTP/3pT/nud7/LPffcw2233caHPvQhtmzZMvPHveCv9F9cOQaVz15RnXXqLI3cMBgM45AbY5WQFF5IXWz1OmHClPlEGgonONETxGrUsa564v6obIrH4xw4cIBoNMqKFSvwqBZiUgN1BVbsM7gIrK9x8s2b5hGMSXz5hVZQIS6rtPplVo65bbbgRxRFPv/5zzNvXhkfTjU+T0eZHrhJmu5O9YX428kh/noS7rmmmqvmZx/tzrUYWFlu51BXkFc7AlwxNzflV6sxrC6fpjdhsd0IgtY/d+uS6feTpBf2zUtysO87gVkvsmHjRu7f3Y0ghFnqTHL06NEMm25kCc5kmjk2xqgT+fxVVXzk0TANniTucJKdrT4uq9Ose84OhOnwxiZER1gMOt67toRvbe9CFAUMghZQX5XKEhbatPPiocMDrK/OoTrHjl0OIEUjzHWKyIo5E3jPK9QCuKlswcSUy0N6s1M1wyk3s0HkPWtK+Na2TkIJBRUFf2zizH1RahEbGMGzu2VJAdctzJtR4DiVjEYjObl5/PRomPqgHrtFwB+JYzKIyIpKmSHK3r17MZlMFIoOZFlhZ4uHt60oGDUccrIvxI929zAQTGDSi7x3bQnXLswb1aC/rspBudNEw2AEBRVJPje444kkeaZ+GKNO5CvX1lDhNNHtj3OgM8jBriD1gxF2t2nng6pqpe9oUuFYb5gf7urhPWuLedvKIpxmPb892I8vKpFQtM9Kpypsa/ZdkAAOtD64fR0BGtyRaXtv1g9G+NY2zeYvKavk2gwIgsBHLi6n0xujeSjKL/b18eGLx1+DHj3h5tCQgN0s8qVraqjMNfP2Ed+/A50BjnYHSSqwosxG01CUcqcJfyyCPyplHeIYyaabDGGTSCRGsemcTidWq/WCctZyzHqumOvi+XoPT58dnrIVYzKZDSLLy+wc7ApwpCfEib4QOkHgro1lF+z1/j31pS99iQ996EM0NzdTXl4+johw9dVXs3379kw17Z3vfCdvfetbaWhoAKCuru6Cl0+zad68eXzwgx8kGo3ywAMP8MQTT/DnP/+Zyy+/nAcffDDznZqO/s8FcNmUTCZpaGigr69vQuTGWO1q1XqRQFtUZ+qlt6PZiwpsqnVNe1FRFIVIJMLQ0BBVVVUZd4qdJ7TBj6UzZAKJgsCyMi3TdHGti2fPDJFU4OSQxBvG3DZbqfttb3sb8+fPn9Fzas+r/T1R/k1WVB7Y24uauu1UpZbL5+ZyqCvI9mYfV6T+HYxLLC6xUTpNR4E1lQ7+cmKQQrthVhdYnSjw/J3LAa2H6XB/AqNBz7suW0CuRZ9BGozcsZtMpnE9VZPt2BVV5Y5HGiiw6XnvMhtf2eVDFQREtNdbmwrg2icJ4Lp9cX64uwdVVVlflcP+zgDrqnIy/LsiuwFFVTncE+T0gNYrKgpQahWodepYVmTmifoQBTYDm2udGHXiKLCwLyqxt93P1fNzM8bZTe4IBzqDWA069KI2BPG5q6pndHwvmePkqTM29ncESMoq7klgw2lrs5EZOGBWwVu3L862Zi/vWl2c9Xvhj0q0DEfJtRpQFYWQAFW5Vrr9ca5dU8eacivBYBC/34+r0Uu3N8rfXt5DTZ4Fk83B1l4dr3TGEASBxSU2Prq5gpIsrRSiIHDr0gK++0oX0aSKpKikq5p/PjpIQlK4al4ulS5tAap0mal0mXnDskK6fTG+ua0Lf0xiKJxEkhUEQXvtj51083y9h9ctyOUjm8tZUmrje6900eQOE0oAqcz8h+MydpNu3MT3TLUg7euaBT2TTT3+OF9+sZ1wUtZQS2X2jF+n2SDy6Suq+ORTLbzYoA1fXD1io7e1yctDhwfQCfDhNa6s1lY3Lc4nEJM42BUkklRwmfWc6g9jM+oIJ2SiSWVamaixCBuYnE030jnmfBE2Ny8u4Pl6Dy82eHjLisJZ+e+GEzIPHh5gcYmVg10B9ncG2NPmRy++dgI40LKkE7kAFRcXU1w8OgOv1+tZvHjxP+KlIUlSpoy6detWli1bxs9//nPe8Y53cObMGT7+8Y/zsY99jEcffXTaj/l/PoAbHBzk9OnT2O32KZEbIxVPjaILaBeSmS7621Pl0yvmTQ8amHaniMViVFdXs3DhOQ/RDJT4PKCO711XxsuNw8QllSMD47NtIwO44ivfh6V8Pu/64HiIxbNnh5EVhRsuGs80SisbB26ktjZ5aU3Z8hhEAWWKcdW1lQ6sRh0n+8IMhZOz6j3rC8QJxWX2dQT4/o6uCSfpxup4bwhFVUfx6/a2B4hLCmsrzwVGdrt9Quis3+8fBZ0dWYYZuWN/9JibJneURjcscNj5/CrYuHopJr12wa7OnbwPLpyQ+drWDiIJmWsW5LG+ykEwIXPtAu07qKoaAFaSVVZXOJhbYKHRHaVlKEp3SKYzIBGVYiRkbQDlqdPDzCvUECrBuITDpOfxU0M8dtKdsWe6vM7FA6/2oqoq71xdzAsNHvZ3BjjYFWBt5fSzOoIgcNeGUg53B0jK0OieGDacziKODeBmKllR+Z+X2ukPJpiTb2Fz7fhMeaHdyP9cW8szZ4Z4tt5DmUliOJJEFASWltrQ689BZ68YNPHEqSES+XNJOlR+cmgYd1hGh8plxQkuLZGIDMFQIifrwn5ZnYtf7u8jnEiQTGXgevxxXm7yYtCJvG1l9vKwokKXT/tOGHUCgiCCrAWBsgqhhMxjp4a4a2MZ1blmvntzHT/a2sjzrVGikhaU/2JfD33BJFUucwYzMhvNLbCgEwWahqIZZ5Bf7uvj9ECYv7xn9PSlN5pMWXsl0QlaC8HYgYVyp4n/3FLB17d28LNX+6jNszC3wMLRniA/2aPhkW6tUVhUmH0jV5tn4dNXVHHPC+2piXWNCZl2b/FGpXEBnCeSpH4wwpx8CyWOiYOvydh0fr9/FMJmZEA3U4RNudPEmkoHh7qCbGvyzQrN8uDhAZ49O8yyVB/xoc4AsqLOuLL0b41XJBLh29/+Nr/4xS9wu9284Q1vYOfOnWzevDlzmzVr1nDffffxzne+c0aP/X82gEskEpw9exa3283ChQspL58+CRzg+osK+duJAU72hrHOcMfT7onSOhwl32aYMuhSFIWWlhba2tqoqanBaDSOCjIVVc34ul40TSxKNlXnWdhY4+SVZh+DEZVgTMIxouk/7aEKYCyowFaxkLzC0bDDLl+Me3d0E5UUtjX5uPeW7BNp5zAi4wOz9E4wIWvm4QadiDRFr5xJL3JxjZOXGj08d3aYIz1BTHqRjTPwNzw7EEFRNaZep296wxgAX32pA1lV+duI0f+X0+y3+a4J7zcZdNbv99Pb20tDQ0OGZ9Uv2/jtkSgqmu/inDwDLlnIBG/ApIMMsqLy3Ve66PXHuajYxl0bytDrBNaMCKLiksovD/QTSijUD0a4rM7F+9eVIskanPVw+xC/PjyMpKioqsLh7mDGeQKgzGki36o1qg8Ekzywt4dfHegjGJOozTPzlhWFlOYY+eGubn6xr49lpXZMenHa08jzCq0sK7FzuCdEp2/iYQ2zQcRp1uOPSUST8rQyEpGEjEk/OpOuEwXevaaEb2/v5Ff7+1hVbs+ajRFFeLHJiyjAlcVRCuvm4g5L44Y7Nlbn8PhJN0+c9Wm4H1Vkabmd/7i4DKdeyvRUDQ4OTsimu3VJAT/e06tNR6ItvLKicvPSggn7nwpsBr5ybS3BuGYHFk7IqX9L9AUTNLuj5Fr1mfdm1Im8eZGNKnOcX5zVJoFBoGEwQm8gwQeVskwWbKYy6UUqnSYa3BE++lgTje5oJlj6ye6eTCtGNCnzPy910BtIoKqaz7DFoMtk8EZqfXUOb1ym2aV9a1snH9lczre2dSErKu9ZW0JVvGPS12TQiXzuqmo+80wrHd4YkaSCmlSwGXR4U57NI/XYySGePD3EHetLZ+RHOpJNV16uvc+ZIGwm082LCzjUFeSpM8OZftaZ6G0ri9jXEeBEb4hcqx5PWGNOzvZz/rfOqbOzk1/+8pfcdddd3HnnnZn+6bGqrq4eNXQxHf2fDOD6+/tpamoiLy+PzZs3z6runZAUev0JBIHM1NJ0lc6+XTZ38hPN6/Vy6tQpdDodGzZsICcnh8OHD4+6TYcnRjAuU51rxjmBh+h09dFLqtnR7EMBnjg1yDvXnEud/+IXvzh3Q1nGbrdnFhHQmp2/+lJH5mK8tnJiGHM6A5dt3X7k2CDDkSQJSUUUNBSDPBmgLqXL57p4qdHDM2c1xMUlc1wzasJdWeHgsVNuZJlJy3NjJYqQHJGwdIcSnB0Ik2PWs7ZiZhmmiXbs7QMefrPLSyypOXYYBIj53MQMmiek3a4hI6pzTQiCQLs3Nq535w+HBzjSHaTAZuDTV1RlnSo0G0SqXCZORLUsUrdfC2T1OoG5BRYGgzmY9F4W5Il8cKUNn+CgI6BZgzW6I/T64/T646gpXl0krpBIGZsPhpI8fWaY6xfl8UKDlYbBCA/s7WEwlCRfgbdPE3z+8Usr+NPRQd4zxTBCod2APybhDiWpyp38e6CoKrc/3MBQJMk7VxXxnrXnXsymmhxWlNs51hPi4WODvG/d6Beqqio/f7UPSVa5YWEuJTE3l83LzZ5BESCSVPHGEhRYDbxnbQk3Ly7IXANGAszHLuxphE2FxYGIDhU42aNZNNmMuownazZZjbpZ2XgtzBX57Vvn0e6JsanWRU8gQZNbs3Ca6eOpqkqjO8rLTV4ah6KEEwqn+sMoqlbFqHSZeN+61LCRovKd7V20DEXRCWA1CAii1igwkavE21cV0zQU5Uh3kE8/3YpJL3D9onxuXVLA4cOTB3CgDbn8v6ur+e+nW4kkFCRZISYoWYdlLhTPDqZG2HR3dxMMBtHr9dhsmgfz8PAwOTk5oxA2y0pt1OSZaffEONgVnHZ/YVo5Zj0f3VLOPS9oGU9UlYTCBZk+/r+uOXPm0N7enhWKPlJ5eXm8733vm9Fj/58K4GIxbdfe3NzM4sWLJ4yEp6MuX0zjt+nFGdnAqKrKrlYfMHH5VJIkmpqa6O7upq6ujpqamglT6uc8Xc/fvaLCZabYJuCJqqPKlv39/fT29p57D4qMwWAYNUXa5onRF0wgoGWIJssGjhxi8ESStAxFSSoqvojEX064SUiabZCsQiAm0+2PAZMPeiwqtlJkN9A0FMNu1HFFFueDybQi1Vsz1YTjWImCgKoqmYCp0G7kJ7fNpy8QP++LnyiKWKx2/lA/SEzVodMJKLKCySCSaxVJRmIcO3ZsFJsuzwRDMZmBYIKSVP/f9mYvj510Y9SLfP6qalyTBPoXFds42RdGUbSG8ZHa1uxDEAQur8vBZlCxEWblwiIsK4tRVZW+YIIdLT72dQToCySIS+fK7gOhJN/b0Y2qwusXF/DtwU62N/tQVMgzwNummYarzrPwmSsn7p8LxWWSskKR3UjzUJTBUHLKoYm/nnDTE4ijqBrhf6QEQeDODWV89PEmnjozzBXzckdZDb3aEeBoj+bn+eZl+Rw5kP05un1xPvdMG4IAekHgxovyuHXpxCiVyRb2L+m92OUQv27oIZHQc0WpjqHeLpKpbN1UC8VMVOY0k2PWo6gqG6tzaHJH2NcRmHEA9/9eaOdEr3atikuKtnlTwSBCXYGV799ch9Wove7fH+rncHcQm0lHMCZhNemJJhWKHMYJ+2F1osBdG8p475/rickKFS4rd6yfGhQ9UoV2I//vmmo+9VQr/cEEUUkZ4VN8Tukgcrp9fDPRZJPuw8PD+Hw+GhoaRiFs0lnaGxfl8eM9vTx5emjGARxoU6g3LS7giVNDBOMyqnBus/1vzV5dXV3ceeedbN26ddzvWlpaJvzddPR/IoBLIzfS0ybr16/HZrPxwJ4u5hda2TLHhVE/szJo63AUURC4bVkRH7t0+g3ZgiDw/Vvmc7grQG0WDt3Q0BCnT5/GbDazadOmKSGE6QDuQpgaA3x9iwMRlYsuOtfn8sQTT4y6japoC/PIHrblZXaWldrY1erHpNdR5py4N2QkB+50f5jvvtI1+vFHLOYq07uIiILAslI79e4oOhGWlEwf3ghgN2m+uGcHI0STyqQojtHPq/0tq6BP/bvCZaIii73UVFJVrS/JMAKH8KejAzQMRrAYRFRFQRBELAY9FcVOhoZg+fLlo3bsebo4fQl4Ztdh1lTY8GHjR0cigMDHtlRM6V6wqNiKIGh9U2mrLNAC7cPdWmn6msVlRAJeIpFIhhFnNpspyzHhsugzJVy7SY9ZUUnKmi2YpEBFrpEf7uzFpBeJJiRkBNxR6A7KnG+r9OHuIF94rg1QuSLlXTtVNvXMQJjfHRpAVTVT87lZEB/lThO3LCngL8fd/PzVXr56XW3G/eKX+zXrufevK5k041vhMnHFPBeyorKtycvZgQjHekKoqNPy/x27sB/pDtJ/up1Ch8gNC+2Ew8FxbLr0wm6z2WaNsPFEkrzjobOY9CIfv0S7JuzrCPCBDaUT9rhm05w8M23DMWJJGZMOrY8SLfPz3rXFo47dtQvztOycohKOy6ypcLC7zZ+1fJpWXFL40Z4eTHoBBYHBYJwj3efwJ9NlTtbmWfji1dV87PEmJAWOdIe4bUygXZDm2YUSeCLJTJ/rbKSqKt3+eGb4JJvSk+5Go5GOjg42bdqUQdj4/X4GBwdpbm5GkFVM5HCiJ8CBxh6WVeXPuLr07jXFnOgNaZZ1CqOqLP/W7JRMJunp6cn6u1gsdl7uU//rA7hwOMypU6eIRqMsW7aMo0ePYjAY6A/E+M1+Lav01B3LKc6ZWQDXNqw1Uc/Jnzk80WUxcOX80Y2myWSS+vp6+vv7WbBgAZWVldOw7VE5mQrgFp9H/9tIGXTiqIGFRCLB008/Pfp5FRlBEEcFcOGETH3KY9ZqFCe0V4KRQY9Kkd3IljkuzRJM1KzBjnYHOZ3qSVM5R9+fSmkvWFXVsnviDIex1lY5ODsYQVJU/DEJs2Hq6bD0IqYFnbPfrZ4dCPPA3l4Wl9hGTX1dtzCfpqEoA6EEkYScIvHrM9+NsQv72sggTUcG0OUVIFpUfrrXSzShsj43imGwnrOxc3012Rb2eQUWxFQAN/K4v9LiQ1FVNte6sJn0WAsKGBwcJBaLMTg4mAniFhXZeM/aEuxGHQ6zZguWY9JhT9mCxSWVfJueNk9MQ1UoWln4YG+MdQu05+rxx2keirKszEauZerF0RtN8qv9/bzc6CWUCjrDKUuzwfDEgwyBmMR3X+killTQi5qdnc2U/UvzpmVF7GjRDMl3tvq5tM7Fw8fcDIeTLCuzs7nWmeFLTaTL6lz8/NU+jHodDe4IX3y+jQqXiQfeMLPsuaKq/P6wdtF/x5pS5taey+QnEolRvXTNzc2zRtj44irfebyZYFzrmUsoaqZM1zgYZWHx9Ae+EpJKMK5hOQw6HaBluaNJha++1EG+zcDayhzWVjpYWW7nbSuK+OrL2s8/srmct60snjAIkxWVe3d2c3YgTFWumdctyOXXB/q5d2c3X7++lr+0Cfhah3jgTUXTysgtL7Nz+zqNVfj6LEih0Ty7CBtniIFKS1FVfrCzm73tAb55w5xpO16AhrApKCigoEB7fWk2XauulycaQvz1WB+h7oZRk+7TYdMZdSIfv7SSOx9tIJLMXkL+t6YnSZLo7+9nYGAASZLo7u4e9ftkMslf//rXGWFDxup/bQCnKArt7e20tLRQUVHB6tWrR/3+lRToVQD004QtjlSbRwvgso2mz1T9/f2cPXuWnJwcNm/ePGXDalq9/ji+aJLSHNN5e9f5I0ni0vhms8cffxyvd4zbuKIRw0cOF+zrCBCTFAw6gbIc06S78yPdQXxRiYOdAd62sngc8uIjf2vEoBPIsxr4xGUVLJtGdjEpKxzpDqEXBSRF4dcH+rh5ScGkU2JjdckcJ78/NICiapy+sTZE2ZQORs93o+qy6OnwxvBGJW5fd458X2A38N61JfzXE804zXqCcZncSUqgNanyXm8YzgzLRBQ9F8/J4ZOXlBBMZekmW9grXCb0ooikKBm3AzXlmwpwRWqyVxAECgsLcbvdo4K4mjzzpOeEQQf3XFPDZ59to8MbI64oKCoc6I3xoVQZ+k9HB9nV6uO/L6/i4iyTn2mpqsrLTV5+c6Aff0wikrLbKnUYuGZ+Hkd7QhNOoiqqyn0pxwNSvZYmvTihq4TZIHLHeg2m+5uD/RQ7DDx5egi9TivdTScw6PbF6fTFtJ43VSWpaCiPyd7fl1/swB1O8KNb52XOqd1tftqGo5Q5TeMmrY1G4yiUgqqqoxA2bW1thMPhKRd2d0Tmp6dkeiLaNcFhFNlS68IdStLuifFqh39aAVz9YIT7dnXT649j1ImU5hg52qudpya9gIA2PBOMSWxv9rK92YtOhKSslfBvXJSPxaCjwjX6c0lTAPSiwK8O9PFqu59cq4EvXVNDoU3LAm9r9vH9HV14IwK+pMTZwci0vWjftWby9poMz24wOusAThQECm0GkrLCt7Z18r2b62bUjjNSaTbdW9bV8mJ7A00RlY+vWYxRjo1i06Un3Sdj09XkmbnxonyePD3ERdMM0v+t8WpubmbRokWZ/6cB4CNlMpn485//POvn+F8ZwKWRG7Iss2bNmsyk30gY7e5UH5pOHF2ym45UVc1k4LKVQaereDzOmTNn8Hg8LFq0iNLSmfVsnMz0v51/9u0729t5scFDrlng3svOPd7PfvazcbfVMnDCqOGCV1p8CAJcMsc1ZfnSHZaQVegNjC9vBWISXb44xXYj994yN0Oin0pp9tucPDOd3hgPHx+kNMc4oymx+YXWzNDE8d7wtLKaF8oWrDTHxMIiK/WDEY70BFk3Apy6vdkHwMZqJ/6YRJnTBGTPStbkmVFVlf0pf8xKl5mPX1qB2ajDPM2F3aa3EpNgMBDTnEmG4/T445TmmFg84oIuimLWIG6qsk2u1cBXrq3hM8+00jYcRVWhN6gNQywoslKbZ2ZXK7R7Y5MGcD/e08PLjZppvKqCUQSdTtQC9xRLLVsPE2jWWoe6ghh1IqqqYjcaiCTlSV0l1lc5WF3h4FBXgP95qQNZUXnDssJpl8uvXpDH8w0emtxR5JQpfTih9ewZsrgICIJAX0AzUvdFJfKsBiRZ5aFU9u1dq4unnBIUBGFChI3f78+KsImIVr63389AitSiF7QhH22y28mfjw6ytyPAe9dO7OuakBX+eGSQJ04NoagqC4qsfGxLBXoR3vOn+oyNm6JCjlnkl29ewKHuIIe6guzvCOKPS+gE+O3BPna0+lhXlcO6Sgd1BRbEVJC/vzPAoiIrW5u8WAzaEEKxw8gzZ4bpCSSodJro8MZx6bRzc3uzb9oB3FRKl3Mbz9PXNT18cbw3xPd3dPPFq6vPi7PntOi5fK6LFxs8vNDo591rSnC6tNK9XhQyk+5Tsek+srmcuzeVZf1e/lvTU1VVFdu3b6ezs5MvfOEL/P73vx/1e7PZzLx58zJ9rrPR/6oAbixyo66uLmu62B+VMg2oOkGYcfbEmzIhLrAbZ+R8kJaqqvT09NDQ0EB+fj5btmyZFczRZdGzqiKHVTOYdswmWVE53KXhIEZWkJqbm9mzZ8+4258L4LQDNxxOcrIvjN2k5zNXVE0JTJ0sa5WGxy4usU07eAMypPlbluTzo929JCWFIz2hmY35CwIlDiOe8PTLBsI0MnD9wTj37ujmpsX5bK51TXi7y+fmUj8YYXuzLxPASbLKKy0+AG5ZWpBBGkzUU1FkN6Ai4EvhDz53VVXW3qzJFvbiji6GYzLD4Tg7d+5k67ADSdKzpkgkEomM2rFnC+IKCwunzCIX2Y185XW1fPKpFrr9caKSyrNnh1lQZJ2SZ5c5XnW5HO8No6gqQ6EEsk7EYtBxzfy8TCYtWwaufiDCg4cH0ImaQ0SvXyHfZiDik7FNghwRBIEPbCjlQGeQLl+c6lwzb14+fR9DvSjw/nWl/L/n24jEFEBFNYj4YzIFtuznTKHdSH8wwWBI67WKSQqLim04LfoZYXJGvY5JEDZne7z8+KibQFybJBZVEZNeYK5TIJFIUJ1roizHRG8gTpsnlrWnsskd4b5dPXT5Yuh1Au9aVcLrR0zbXrMgj61NXuKS9hwms0ih3ch1C/O5al4ud/+1CcWvsrzMTo8/TrsnRrsnxiPHBsmzGlhVYedUX5ieQILT/WGMOoH/TPV3SorKCw0eOrwxDQsjCAxEBVRBZU+bnztmaOM2kUbx7GR11gNLupQ93sefbOFoT5CHjw1mrP9mq5suyufFBg/P13vIs+r59YF+bl1awLtWl0w46Z4uu49k041F2FwI8/X/S7JarVx22WVEo1GWLFnCqlWrLvhz/K8J4LIhNybSoe4gsqIiop1A6oSeANnVns6+5c08+xaJRDh9+jShUIilS5eel5HthhoXG2pcs75/Wgc6/QTjWtCSb9ZOUkmSuO+++7LeXhS0XpvGpmZKJAevuvUoisLG6um5SqQ3ddmSVmf6tcB68QyHED52SQUba5z0BeJIqbLckdTnPJMd7cPvmhmVWzeNDNwDe3vZ067RzV/50FiTsnPaXOvkF/t7OdAVyIBxD3cHCcQkFhZZx/GoskkQND9Tf0zirSuKKJumEwWcW9gvWRin58ggy0pzWLl2Eff/pRlBUJhj8HPwYDeiKI4rvxUVFY3qicvPz5/Uig6g3Gnk69fXctcj9URleOrMMP+xuZzaSXh2I7W4xMrcAjOvtgdwWgwEYhKryu0UO4yaZZRBhzuc5N4dXSwssjK/UAsOC+0GFqYyfU+fGcZl0WeApVPZguWY9VrWHrAatOBmJlpeZmdjjZOXG70kZJWEpE09T9QzWpRxlUiwsMiK3aTjPy+pQJLHWzzNVmmETU9I5RdnhklgIMeiEIrJmA0iCVkhJzbI7t1tWCwW5lhsdHlVtjcMUrOhMrOwJ2WFPx8b5LGTQ8iKytwCCx/bUjFuCvi2pYW80uIjlOqxFIVzy9ALDV7coQRLSm18/fpaFBWahqIc7AxwoCtIpzfGy41eVFXVsq46ARD4yd4ePFGJ1y8u4Js3zOEX+/vY1uQlqWg4DAStr/VgVzArkHmmMulFavLMtAxF6fDGqJtB/9pY5Zj1fPrySj7zbCsPHxtkXoFl1tZlTUMRnjo9nEHfNLujyIqKN5J9UzqSTZfWRAibbGy6C2kL9r9VFovl7xK8wf+CAG4myI20Ntc62dcZ5KX6YURx5hm41kz5dPr9b6qq0tnZSWNjI6WlpaxYsWIUx+cfqeM9QfwxiXVVTswGkadOuZFVFQFwmUWi0Si7du3imWeeyXp/o16HwWgkL9+BKCbZ2eYnmVTJDXVw7NjQqFR8tvd4jgM3/sCf7j+XgZuJjDqRzbVOQnGZPx4ZxB1O4o/JtHliM2oOnqky2cQJWHWtw1H2dWjlTOsUU612k451lTnsbfezu83PdQvz2Zrq1ZyJq8S6qhwGQ4lZZxreuaqEd67SeoC2NXtJKAJrqlxcsbEGRVEIhUKZC3waOmuxWMjJyckEbcPDw8iyTE5OTtaLfJc3xgf/2shldS5uXwA/OaM5ScQkhTyrHodZz2AoQTghT9iX9ugJtxa8mfU4LXoCMYnXpVwl0oGsdzDJtmZfJotp1IvMzbcwt8BMt09Dh1xW56LEYeSiEusoxMr+jgAGncDKcnvmPTx0RCtfOkw6+gJxtrdo9m0z0XvXlLCnzU9MUojLkzeKp23BBsdkEmea8VFUla1NXkRBmPC71BdMEErILC6xcbw7gMUgIAsiDouBWy5fgSpLBAIB4l0eXukJsb1hkDnxVhwOBwHBziPNMr1hBYMo8M7Vxdy6tDBribcmz8zqCgfbm7zI6rnrQCQh8/CxQQDevUYrz+oEWFhkZWGRlXetKeHJU0M8c3YYX0zCG5EQAElRGAgq/Gh3D3843M/t60r52JYKVpXbeWBvL4NJiYQMQUXmhXoPm2udSIp2vTtfW7CWoSj1g5FRAVw2/9SpNK/Qyl0byvjJnh7u3dnN926um7YNYFqKqvKjXT10eGMsKdWYcUd6tDabmQwjTMWm6+rqIhQKodfrx5VeLyTC5rWslpYWrrzySurq6vj5z3/OlVdeOeFt6+rq/m9iRIaGhjh16hQWi2VayI20THoRo06zv9I4XjN73vQAw3QnUEOhEKdOnSKRSLBq1arzqnlfCP1sbzftnii/efti9DojLos+cwx0UoyhoSDRaHQU+22kjAY9AmBz5GDItzKcbKI018BNm+YSSvXWDAwMEI1GMwt7+gS32+2ZsuPY4x5OaAGXxaCb9XCI3aTjzcsLuX+vRqvf3eabMIALJ2Q+92wruRYD97yuZtTvVFXl61s7uWFRHsvL7BNekCfrgVNVlV/s78vw1KaDqrl8rou97X5eafaxqdqZ6dOarBdspCIJmS6fBnf+8e4erEaRS+a4pryfJ6JN1BVYDcwbgWvYmhpeuGq+tuiPzL6lNXLH7vNprDin04nP52N4eBir1YrT6cRsNiMIAnFJ4f+90IY/JvPUmWF+sBF+dn0hF82pyDxmTa6Zk30h2j2xrMH8gc6A5nMpCnzy8kpah2Mc6gqyOgWQjqcGanQC3LasgISk0uiO0OaJcWYgzOn+EP6YjILmnLGkxMb8Qiud3jh1BQJ6UeBn+3oZDidZUGTl7SuLcZhEnjvrwaAT+dCmEu7f28vvDvazvipnwiAzm0pyjNy2tIBfHegnKav0B+JA9knUdBvB+dqCNbmj/Hh3DzajjtUVjqwswM21TnJMOu7f04MgCCzLh6MeDcmjFwUQtYX90rw8/tDQwFA4Scn8uexqGebpxhCSrFBolLi5PMFcZLo7I5nvytiF/dalBexq8SHJKlLq/Hj81BCBmMSaSseEfbT+uER/itVnNoiaowUqsqIgKSpDYYlHj7u5aXEBW+a4WFBk5YuPn6IxAEkFdrb5+N3BPl5u8vFfl1SwqmL2/MyFRVaePTtMozvCNXIuu9v8/Gh3D8tKbdzzutoZP97V83NpGIzwcpOXb27r5Ns31s1oEyYKAv99eRWffqaFU31hzAYdnkgSRQVPlgBOVVUaBqO0eaNct3DiNWkyNl0aZfL3QNi8luVyubjjjjsoKCjI/HsipSeJZ6PXZACXSCRoaGiYEXJjrAZDCW36TMieCZpM6QGGmilKqIqi0NbWRmtrK5WVlcybN2/SEe5/lNIXhZik4RPesKyIZ08PEpdVDKJKaWkpv/zlLzO3FwSBefPm0djYCIDNogVXsqKyIzUMcskcFy6nE5fTSUWFthCnF3a/38/Q0BCtra1aBifgAESSkkw0Gs0s7JqdlcqiYut5Wbi8fkkBvznYTySp8GKDl/eunRjz3+6JEbKNHwh45Jib5+o9PFfv4QevrxtlOTVS6WtTtizunvYAp0fQ5qeTNFlV7iDHrKd+MMJTZ7RS1MV1zmkHCEa9SP1gFEmBcFKesHQyVo3uKN/c2slldS7+61ItgOsLxDP+kOuqJl7osu3Yh4eHCYfD6HQ6QqHQqGbpJ7oMdHi1RbjQZkAQkuRaRr+/2ryJA7hOb4zv79BG8j+woZRlpXaWldq5ZQTyYU+7nxN9YRKSwq5WP/9zbS3lzjLikkLbcIznGzw8dWYIgyhkPHDTmVJREKh0GSmwGgjFZc4MRPjSC20oqvadf+fqIl63MJ+DXSEOdgV48PAAd20sm9DbN5veurKIBw8PEJdVDnUHuXGCXs10adUdnr47iDeSHAe8XVCk8S53tfr4/aF+PrqlIut96wcj9AUT1Lh0XFEus3Z+WaaMm5YgCGyscfLYSTdf2d5HJCGj1+t52+pCblucTyx6rqeqt7eXWCw2avIxJyeHxUVWyl0mWoZjRJMK3miSJ04PIQgC71o98QTodQvzWVnuGGMJJhOMSXT6YtQPRnnzinNtKUV2I+9foHA47OJPp4KYdCJxSSUQk3i1I3BeAdz8Qq3nbmern1c7AgwEE8gqbG3y8eFNCQpnMAGfPq53biyjzROjZTjK/Xt6+M9LKma0tlW4THzhqmq++Hw7gbiMqigklYkzcN/a3oknkmR9Vc6MeHZpNp3T6cxMV2Zj042cdO/r66OiooLa2pkHt6815efn84UvfCHz/5H/vpB6zQVw/f39nDlzZsbIjbFyhxI4TDp+87YlMzrRJFmh2xfTcBmT9CT5/X5OnTqFqqqsW7cOp/P8+y4ulNIBXFxSiMVibD18BkVR0Ot0uBxmRFHkySefzNx+xYoVoxhXNqt2zCVFYWeqNHVZCpw6UhOl4v821Ab+BJIss2/fPgwGAzk5OewZMKCqKouKzg/NYjXquHlxPn8+5qbLHychyVmzXxMNU7za7ud3h/oBzVVi0SSTaxNl4OKSwm8P9hNOyKk+vOlNqup1AlvmOHnmzDBPnxkG4MoZlOj0osCqcjvP1XuQlOm7SqSDy5HmC6+mAppL5rgwzmAaTRAECgoKsNlsDA0NYTAYqK2txWKx8GKDl309oUzWJUeMEw5H8Xq9OBwObDYbgiBkMrBtY/rggnGJr2/tJJqUuXZh3oSZgwWF1gzPrtsXJ5ziw5n0IguLrfztlBu7Ucfdm8pZX+Wg0R2lwR2h0R2leShKh1ezEVNVLUMUTCrIqvad2dnqpzbPwh0bSjneG+L5eg+KovJqh58bc0cfJ61XS81Muqf/bRAEPrSpBLvJwCVzcjQeniCMW6yLJiihTqRuX4x3/PEsDpOOH90yb9SU/PvXlXCoK8jWJi9Xz88d973uDyZ49LgbURB46yIbTjXEJVmM0SVFzQRPkYTCsjIbH91ckSkjmozOUde7kZOPIxf2FY4cWoYFQOVPh/uJJRUun5s7afa9wGaYlDGZTToB3nhRDqtqC1lcYiOSUHjm7DD7OwJ8cGPZjMuokYTM7jY/LzZ6CcVlZFVGexdaf++7VhfPOHhLy6QX+fQVVXziyRZeafExv9A6Y3P6RcU2PnFpBd/c3ok3rKUnhsPJcf3AgiCwoMjKq+3+8+LZpZWNTTdy0v2+++7j5ZdfJjc3l3nzNJ/sPXv2cMkll0y7evZalaqqJJPJUcOK2X42U71mArhYLMbZs2dnjdwYqbik9Z3kmPWUTqMxfNTrkBSunJ+HlBrLHqu068PAwABz5sxhzpw5/3Ip5HTjdVdPP51DbbhjuZrXnkmP3SBy6tQp+vv7M7e/9NJLeeSRRzL/t9rsxBSVDm+MoXBySvZXWulUfLHTjjDgwWkzcckllxAMBgkEAtSf9pBMysR7Gtgf7xiXip/J533H+lL+dnKIPKsef0ym0D4+gEt/fmNp4w3uKPEUIyXXYpg0+zUyCDw7EGYwlERSVA53B+nyxbQSPZoLgScqkZQUDFOURS6f6+KJU0P0B5PMyTeztHRmF7e1VQ6eb/CgqNCXBdWSTeljOxKpc+uSAhYWWSflzk0mi8VCSUkJbrebZDLJmV4/jzZEUQQRs0EDOZflWhBFbYFP+/w6HA5EwaZlsIfPYRrSHpl9gTiLS2x8YP3EAMzSHCNWg45wQkFR1VHZMV9UypSmt8zRspvrqw2sT011yopKly/OX04M0uTW7LhiKTCwosKp/gifeaaVJ989n9VlZvZ0hNje7CGaVOjNy6e/vx9FUVAUZVJE0RoXQJzBFA4ItBJ1+k9XUKbSqQ1kDATihEIhDAYDer0+ayY/Linc82I7sgL+qMzYy1Oe1cBbVxbxmwN9/PTVXr5389xR17Bf7usjIStcvyifaqeMz5f9dT96fJBtTV4EAQw6gU9eWknlJHZlJpMpK5uuzudjbZmfYCjEj08PICCw0uKhs1PJTD5eyIrFhmon7pDGd6wrsNAyFOXsQIQlMzi/unwxPvFkC3FJGefRbDOKvHVF0Ti/3Jmq2GHk45dW8JWXOvjVgT7q8i3ThiantbHGyQfWl/HDXd1EkgrhhEwgJo3LzM4vtGgB3Hnw7CbS2En3v/zlL/h8Pvbu3csLL7zAvn37eP/734/b7Wbp0qWsX7+eDRs2sH79ehYsWPAvt26ej+655x5EUeRLX/pS5meKonDJJZdw//33z3rI4V8+gBuL3Ni8efO0KOKTaShFZ58JpiItu0k/oXWWx+PJ7DY3btw4arLn76nTfUGeOzvExbW5bJwEU5GWqCokkknau3q4ecNytu33YTYE+doNczEFe/n+37aPuv2WLVv46U9/mvm/5KzAH5NpGY7xwBvnTwojzabPX13N568+dwxdLhdmWw4D8QB2q4HbrlhMJKQFdf39/TQ1NQHawj5ytH2y74HZoOOlu5ZPurtOZ8/Glr7etLyQR44NkpRl5kwxqCKMyMD97eQQB1L8NTU1FCKNuMorCkww6zBKc/MtmPUigbjM4mLbjDMEK8sdWsZPhr5gfFr3yZaNFARh1tysWFLBqBcwGAyUlpYy5PHym909JGUFu0EglAS9TqTEZcNiiVBSUkJJSUlmx673+lBkmcZ+P7t278HlzOGlPgPHehIUOYx8+vKqSRv5RUFgTr4ZdziJNMYS6JUWH7KisnmC0rROFKjONeEJJ+kLJkBVsZtEJEXLxiUVcJoE/nSom93tmqVeICqhCALHh+GWRGLCzUa2QHmkFEUhmpD5W2OUZ1pi1Ll0WHUKoYRCZ78bW2oQRhTFTDBnMBgwGAz8+vAw7Z44AmAxCNiyII5uXJTPtiYv7Z4Yz9d7uDGV3TnQGeBgVwCXRc87VxfjGcje/wpw8+IC6gcj6EU41BViW7OP2nwzlS7TtCbzRy7slRUVfG9HF3qDj6vm2KguFPH5fHR2do5i06XP+bHQ2ZnohXoPX9vaweJiK1vmOGkZirK3wz+jAK7caSLXokdSVPqDCUQ0IqMgaC4ml9W5ZjXEMFarKhy8bWURfzwywLe2d/L919eRvhJNF1ty40X5dPliPHRkkKSsMhBKjAvgFqYg6g3nybObrlwuF9dffz0VFRX85je/ob6+nkAgwL59+9i/fz+/+tWvuPvuu2loaKCqqmrGj3/q1CnOnj1LRUUFGzZsmNbnMJv7zERpokNfX9+on+t0Oj71qU/x7W9/e9Yw33/pAO5CIjdGKg33LJplmnusJEmioaGB3t5e9Ho9F1100T8seAN48HA/Wxs9PHd2mK0fXjPh7RRFoaOjA4+7H1EwM3/RYgoL82n3aF+s2jwLvUF45ZVXMvdZtWoVOTk5xGLnSlmyyY4KeCISZTmmGaEqJlKDO4KsqCwusWGzmLFZzON27Om+mtbW1gx0diyraOSOfarARydqJavxJdRAyvJHGGVcnk0jA5+V5XZyLXrNFkwnohPhT0cGkROyxtQSIJKUp2xMHulBOBsvwgKbgTyLgYFQMissOZvSx0o+TyAxwB+PDPDE6SG+eHUNS0q0zGlhfh4fuhgeOdrPGXccoyhoKA79uecbu2Of09hEpzdGflUVJ7p9bG0Po0PhaoeXhpOBKRf2xcU29ncGUxk47WdqahoTtMleVVVRFIVEIkEymRz1Z32hwhKXCZtBSP0RsRm1fxt0Iu0BlZfa40SSKjLa59YfShLWO5lbaEVRBU4PRvFGJa6af246dqRGllYVReFQV4CfHxygzRNHBTqDMksKTYR9SUKynhyzgCzLKIpCPB4nHtcC9EN9CZ6rD5OUtY2DUScgSHFkWRx1Tuh1Wp/V559t5aEjA1xck4PVqOMX+7RrwHvXlmAz6vBM8vma9GKqgd+TOZ7+kxJvWVE0Y7RS63CUnS0+LAYd715fhTOV7U2z6Ub20jU0NGRF2EynBLW3K8qPD/oyWJLPX1XNw8fc7OsIcMf66fu6tntiGPUC/d4EOhFEUQBZQ5o0uSN8+G9NlLtMrK10sK4yRxsAmSUj7k3LC2lyRznYFeC727u4ZZGT37Tb6LAP8N61kztFpHXXxjKCMZm3rizM6rdal6/x7JrPk2c3WwmCQGVlJZWVlbzpTW8CtN7pmU6zqqrKXXfdxcMPP8zmzZs5evQo8+fP55lnnpmwPDub+8xGXV1d2Gy2rO1elZWVGY/22ehfMoBTVZWOjg6ampr+LsiN9ETXbDJwYzU4OMiZM2ew2WxcfPHFHDx48O/OxmnyJNg12MfGWidz8q00pOC3E/k4AgSDQU6dOkUymaSytISmthCSKuCNJDMcKodZT09PDx0dHZn73XTTTXg8oy/nBp0OZFBm6R/1w13dNA9F+Y/N5ZmJxzQ+JJt1y8iFvbxcM9SWJGnU5GN6x2632xlWrcwrdlJamDclq0gnjg+SXmnxIatkrH8mU8NAhGBCptUT5fpFo3tVWoejPHJsEItBZFNNDh++uBzXNKxyjvQEUVSNgL+/M8Bfjg/yxhkAYwGWlNoYaPJNe4ghAySeTopwCpkNIrGkwvZm76hpwrU1eZwcjNPgcVNmE+gOyuilKE6nE1mWkWV5VLBRnau5apzwwKNNCfR6PZ+6vJLVJabMZz/Rwu50OllWpj23omrOALIsc7Y/SIcnSr5VR6EQpLvbizLBm15RbByV4TIajZmslyiKVAGO3CBffbkDX1TrNYpLmi3Y4opcJFnlG9u1wZ/L5+ZlXRzT301fTOJX+/vZ1eojklCQVRWdAG9aXkQ4odAR8KGYnVRUaP1ykiSRTCaRJIlOT4Q/nfWTVMCs0/oYBVQC3iFCPgG9Xo/JZMr8WVxs5bI6F6+0+PjtwX4K7UYGQwkWl9iy9rKOlU6AMwMRAjEJRdU2xEadmLFey6azA2Hu39vLomIrH9pUnvn57w9pWJZblxZkgrf0cUlDZ4uLNbDtVAib9Odut9tHld8OugWe7PIRlzTf3cvn5lLhMlPpMtPli9GUcgCZTJKs8teTbh4+NoisqFTnmmj3xkkoKnpRQwQlFTCKAoPBBM+cGeaZM8NYjTpWldtZW5nD6ko7jixZUV9UwmnWjbtOiYLARzaX8ZlntGGiXLOAO65jR4uPd60unlZmXhQE/vuKiTNZJr1IbZ6Z5qEo7d6/L3JpuprNWv/oo4/yu9/9jsOHD7NkyRLcbjcrV67k61//Ol/72tcu2H1mo+LiYtxuN62trcyZM2fU73bt2kVp6exL7v9yAZyiKOzfv//vitxINwQXnkcAl0gkOHv2LG63m4ULF1JeXv4Pgxq+0BKhLxIlz6bHYdJnSsKOLOWgbO4Uzz/XSiAmcbQ7kLloppud9+3bN+r+11xzTaY3KS2zyQiR2Wdrun1xOryxUTYtZwZmBvDV6/Xk5eWRl6dlNlRVJRaL4ff7+exjfcTkQdbndvP6ykTm4p4NLKsThFEB3FA4mZm8vGFR/pS2YJGkBg0ezmKafmYggigIXL8wj49sLp92KVTjdUFdgYUmd5RfHejninm5M5oSu6zOydYmX1Z/22xKZyBmOpGdTZfOcfH7QwPsbQ9w5wYlk3GUZJUdLRpm5MqFRZzpC1Bq1zJEsizT3d2NyWTCYrFgNpupyTWxQ1X5U4q99pYVRRknC4vFMuHCnmbQYbRkmsubu/opVk08czaCoiisLTaSTJzLTo4M1NLBWjpQm0wryx184tJKvrmtE29EQkX7/N6ztgS9TqDKZaZ1OEpPID5hNjeckPnoY80EUgGQKGhZtByznpsuKsiwAN2pyoEoihiNRoxGIwlZ4ZfbB0mqmndwJCGTlFUNMmw0ZoI8SZIIh7VNkk6n46Y6I/s6BO27JmrYlLs2Ts/TVRAE7lhfyn890Uw0qQVFCXnygRm9TqDTG8M+YpN5oi/E0Z4gLouemxdPfZ2fCmEzPDxMW1sbiqJgt9vJycnhwLCepzoForKCXtSmtNMT1Ztqcnj4WIxXOwKTBnAd3hj37eqmZSiKThR4y4oi3ry8iCdPD/HA3h5MehFZVTHpRS6tc/KWFUUc7ApyoDNI/WCE3W0a11EnCiwssrKuKoe1lQ7KnSbiksKnnmqhKtfEHetLR7HfJFlDGdXlmxkKJ9jZHsKuV/BENOebFeXnb6EImoVg81CUhsHIv0QANxs99NBDXHXVVSxZsgSAwsJC3vnOd/LQQw9NGIzN5j6zkdVq5fWvfz1veMMb+MlPfsKaNWuIRqM89thj3HPPPaPak2aqf5kATlEUuru7SSaTuFyuvytyI9MDN4sSqqqqmUnY3NxcNm/ePKX341i98TfH8UWT3HNtHZvnzAwCCtDhT9Lhl2hyR0nKama60TTGBsjn83Hq1CkEQRjlTpGQNGbScCQ5DokyMoDLzc1lxYoV44C+NrMJIvKsDdzdqeM/cppsWaoPZUHh7MyTBUHAYrHQ7JM18joCGxbXsGKONTPanh7MOHToUKb8JqA1uKf7Vna2+lBVlcvn5XL7+mnsjFLrXbZSZzqruLrSMe3gLZZUON4bxqgTed2CPJqHekhICif7wlw6jexIWhfXODHpBexGHfGkPO67MVaT2ZuN1G8P9tHjT3Db0nwWFWdfQPJtBpaV2jjeGxpFvj/aE8QXlVhQZOVNK4phRTGKolBfX4/dbs+UzdJlQWMiQTCuNeNvrrJyTbUer9ebeZ502VFRtOwagM1mG1X+0Isekgp0h2QSssqhPi0I2lRhyUy9GgyG82qY3lTj5GNbKvjWtk4iSZkuf5yzAxEWl9ioydMCuHZPbMIAzmbUcVmdi5bhKGcGwoiiiM2onRMVLhNFtoknUX9zoJ92T4yyHBM9/hh2k55wQsZhMVJWVjaq1Jr+I8syBmSuqzHwu1MRVOCNi52UWIVp929V55p53YI8njg1RDSpWev5Y9n9eQGKbON5dlaDjkXFNrbUOrFM8f2cSBNNuvv9fh47NczTrSESsooeFRURg6BSbdUC2o01OTx8bJB9HQHes6Z43PuWFJUnTg3xx6MDSLJKpcvMxy4pZ16Bdo26flE+fzs1xEAggSBoz60XRSpT2b3blhbij0oc6g5ysCvI0Z4gp/vDnO4P85sDfZQ7TcwrsBCMSxzqSnC8N8xtSwt4w7JCTHqRNo/2vWkYjOA064kmk/iTIkajBti+UAHcSJ7dDfxzGaWz1cmTJzMl2LSWLl3Kt771LYLBYNaWptncZ7b6yU9+wg033MDFF1+MIJw7zz72sY/xjne8Y9aP+y8RwKWRG5IkYTAYWLhw4d/1+dI9cMUzzMDFYjFOnz6N3+9n8eLFFBePP+mno15/XEM8RGYH5/TFtKxKpcvMq+3+DGfMmCrRTOVOYdSJqEA0odDuSbtKWDLZz7Quv/xydDrdqIlUURSxWMxAeEbcq7QkWcUblTAbRGwjbIvevKKIN6+Y8cON09NnhjPHozTHnNmxV1RUIEkSO3fuZM6cOYTDYYaGhkjGJRKywMFDR8h15fDS2QQqWhZpOkp/+pI8+lioqjrCVWL6QanZIPKLN8+neSjK7w8NICsgo3KwKzCjAM6o17H1gyumffvJgMRphROay0UkqdDjj3P/G+ZPeNvL57o43htie7M3E8Bta/YBjHIuEEWReDxObm4uBQUFRKNRYrEY8XiccocOUQAReMdCE+FQKMszZVc6k7aoIMJgRGJxeR7tMYjJfua6RJL+QY73tKLX60f10s2GJq+qKlfMdeENx7hvdx+yAj/e08MDb5hPTe45HMqldRM/xrUL8/j0M62oqjaF6I0ked1CLbucrhQc6AoQkxQWFFqZX2ihwmXi4honx3pDLCmx0huIs74qh23N3sy5pZ2vlkz/TTpTHYvFcFllVDSgtkFO0N/fjyiKWK3WSadn03r7qiJ2tPoIemVAzZqFTivHrMOoF/FEkpkJ/rkFFr6Rssu6UEpv5B6rD/JCl4rJaIREAlXQLLfyTDDU2Ux3Ywyr1YZTb6LHF+VMj4eLyvMy1/NuX5wf7uqmwa1l0W9bVsjbVhaNwumYDSI3LMrj94cGiCZl9KI4bvLXadFz5bxcrpyXS0JWONUX5mBXkP2dAXr8cXr8cRRV84SNJCX+cHiArU1ePrixjLVVOXz/5rl8b0cXrcNRJEXr5QzHZfa2B/jgRjmrz/FMld40N7ij5/1Y/yz5/f6Mt29a6eqM3+/PGozN5j6zVVFREfv37+eVV17h9OnTmM1mLrnkEhYsWHBej/tPDeBkWaahoYGOjg7mzJlDXl4ex48f/7s/b6YHbpoZOFVV6e7upqGhgaKiIjZv3nxe7BaDTivbOWdQEhupj6x10hU3s7rSwVXz8zjeE2Q4nMSgExgaGsp8QTZu3Ji1bNgbiKOq0O2PZXAZtfkWGhoa8Pv9mdtdccUVAKMCuLKyssxFbDYXXm80iaqqFNiM511yDidkDnUFsRpF1lbmMBRKZthlOlGbRM2mvLy8TPnNcfYsUiRJUWkBbQN+Orxx7DoZX8sxTgyd66txOBxZF/ZMADfmYHT74/hjUmpqbWafs8OkZ2W5g0hC4XivlkHY3xGc0WPMVNPJwP356GCmJDvVcMeG6hzMBpGjPSG8kSQ6UeBAVwBDCt2RTemgK50pLpUkSg/W44/L2Bw52AzCqMBCEIQMckOn06HT6TJlz/R36/43F2Zu/6UX2hBFkVtXVbK2zpWhyacb5Xt6eojH46Ogs06nc0qEzTe3dbK/M8A7VhSwNCfB6ZCJ1eXaxb9mGr6u0aTMt7d3EoxJrCx3cLQnSI75nFl9mgXX5YvTH0jwYoPWk2o16phbYGFdlZ3n672oaI4ZFS7TKE9XVVX549FBttQ6qco1Y7FYUHVGnmgewGbUISsqL3cm2VRhJseklaNBm/p2u91YrVYsFsu4LKXDpOcdK4v53o5OEjIMhCYemElbm3X74ngiyUz/cdouaybyRJL84fAAb1leREmWHlUV7Rpv0InU5Zs52ZOgNtdIT1BhQ10emzaVZ2gBK/xuXm6P8di+RoYKE9jsDo74zTzXLqEgUO408dEtFZlpzbG6fmE+jx53p3xdlUkz7UadyKoKB6sqHNy5oZQvv9hOuyeOPy4RjGnl90hCodEd5VNPt1LlMvGFq6v59o1zePDwAI+ddBNLaueAN5Jkb7ufq+bnEU3Ks85gAhQ7DDjNevoCcfxRaVQv4mtFFosl871NKxgMZn53oe5zPhJFkSuuuCKzrl4I/VM/qfr6erxebwa54ZsIPHQBJaswHEli1Is4p9FQHg6HOX36NJFIhOXLl2cmI89HBp1AXAL7LHdPy4vN3JQasU5ICrKiIgoQDoU4erR7SncKcwpFkJAUurwx9KJAudPMg0/sH3W7jRs3AqMDuMrKykzv2mw2zunydf4sg9eRGg4n+f6OLhYUWVlbmUMkKVOWY8IfldCLIsZpGI2nJ1GLiop5pU/EYJC4bkkJy+ZbM701Yxf2kWy6tOQx1aPT/TPr6cumjTU51OaZaHDHGAwlcIcSE/ZtvtLs409HB3jdwjxuWzr6O9rji/ODXV385yUVlDuzB16ZDNwEEVy3L57JbopM7etqMejYWO1ke7OXna1+9KKAJKsZ7tp01DycIKEKBOIKdz/Vw2PvXTKtKbnT/WEGQgmWl9rJTzsZhLQSlc2oY0MqMBpJk09rJHR2YGCA5uZmgIyRd/qzTyNsTvSFeLHRS1JWeb7Rx9vLI3xj0yqcFu1zqk0HcN7sAZyiqvxwVw/tnhh1+Rbu2ljKCw1m7EZd5jyTVZW4pOAw6/jA+rIMcLjLF+dEb4jDXQGCCQW9IHDfrm7mpzJ09YMRLYDpC/PIsUEePe5mc62Tt64o4qVGD55IkjWVDvIserY1+3i+R+QjGwqJRqMEg0EEQSASiRCJRDKZLZvNhtlszgRzr1uYx8PHBmn1xAjEZOKSMuGUdaHNSLcvzmAoeV4DZI+fGmJbk5dgTOYLI3BEaWnN/+UsKLLw0729mHXgNOnoCSosK9M2tGk23fUrbezoaWFA56B8fgE/3ttH03AcVVVZ7YpxZVGA5ECczpgz66S706LndQvyeOjwAJIyHkk0kQRBoDeQwBvVrocWg06zBVO01hRJUWn1xBgIxplfaOV960q5qMDIt7a2MRTXEZdVfrm/j61NPrr8cX77loWzniAVBIH5hVYOdgVodEdYW5XddeZfWXPmzBk1fAfQ0dGB0+mcsI9+Nvc5H3V3d/Pzn/+choYGbDYba9as4fbbbz8vLNo/NYCbP39+Vvr431NhSUBWVEqdk2eA0siN5uZmysvLWbVq1QUz6k2f49MJMKaSO5xITdFpfoDTcaewpnZr0aS2Y6wrsKAXBQ4cOJC5jcPhyJSyu7q6Mj+vqanh69fXzvozG8rS/zZbGUc4SgBU5ZrZUJ1Dw2BYa1iehntAesecVBR2pmzBLp+bh8tlxuVyZW6XXtjTvXRpNp2qOgABfyhEPB7PnIynU5PBUw1BTCZRELhrYzmfeLIFWYWXGr28fVVx1ttGkzL9wQSBMX1I0aTMZ55tpc0T4+if6nl5grLqVBm4Xx/oI5KUMei0C/50RiMun+tie7OXV1p8mSnXK+a6pnFPTeGkjC8qoaqQlFUCcWlagxzPnh1md5ufL15dkwngtjVrvY2b5zgnxbhMBJ1Nf/YjETaCJYf7TmpsOAFYU25HSDBq0jDHrCfPasCTmvYe60H6yDE3e9v9uCx6PndlNQV2wzhExIOHB4gkFKJJhVc7AnzpmhpAcwRoGorywN4emoai5Jh0DAQTDAQT7Ep9l/U6gSqnmapcMx3eGDtafOxo8RGTFGxGkTs3lGEz6tjfGWR3m59rFuSxvCwPXyBINByirKyMSCSCJEnjgjm73Y7ZbOYjm8v5+JMtmhdpKE65K/v1J51J1IYxpj4vJFnBE5XGBXtvWVHEjhYfB7sCHOwMZA84VM45mZSprJ/nYE3UmOm1TWt+oYU8q55Gd4T/fqEHWVGpzLPx0S3lzM83ZZ10H8ume/3ifP50dABFOTdoMh3d87oaAjGZYFwiHFcIJbR/+6MyzcNRuryxzNAOwLJSK7fXhHg5Us7BrhBFdiOSohCMSZzqP7+hhoVFWgBX/xoN4G644Qa+853vZHrXFEXhkUce4frrr8/cpq2tjT179vCmN70Jk8k0rftcKD3//PO84Q1vwGw2s2jRIiKRCA899BA/+tGP2Llz56wTQ//UAM5gMGSaj/9R8ie1i/dk/W9p5IYkSaxZs2Zcnfx8lS4DzcSeKJvi8Th7j55BliQ2Vdr4+usXT9msDvChzRVsqXMRiEo8fGyA2jytPDCy/23NmjXodDo8Hg9utzvz8wULFpwXqDLbAMNslXaUiEvnoo42TxQEAZ0oZH4/mXSp93GqP8zwJK4SEy3swhktkBv2eNmzpxOz2YzD4eBop8aGWlh4frZgaysd5Fn1DEckHj81NGEAl+G4jYjAFFXl+zu66fZrQwF1k0yYZaDGWXqfDnUFOdQdJJaauDXrhWllGpaU2Mi3GWh0a4t+oc3A8rLpLzJLSmyYdALRpJaR8MemF8Blg+Ue7NJKI1fNm9m5PJZNB1qPqcfn56vb+/BEJARURCDm7QeblrF2Op0ZNl1tnhlPJEmHN4bLcu79v9rh509HB9DrBD5zRRUF9uzvbX6hla2NXmR1dCnWatRRm6fBinMtBn79lvlEkypNqYnCBneE1uEYrak+V1VViSUVYpI2aywrKvfv6eG9a0t45+pifvZqL/fv7aHQZmTQH+YjFynk/n/23jtMkqs+9/9UVec0OezszOzO7GyO2tVqg7JAwjJCyEZkCxEMxoCvjTEX32tsX665NsYEG/gZMMEiGzA5CpRWebWKGybnnDvHSr8/aqqme6Z7pntmJK2E3ueZR9qZ7urqU1XnvOcb3reigvLycjKZDIlEgng8jqqqFpkTRZE2n5e3Hq7mloN1VHsLz6s1FoErrvb3Mw+O8aNzs2yvcfPV1y/WRXsdErcfreff7h/lP05PcKDBt4yU/+TCLKOhNNuq3BytSdNcZufS7csXyemoTFrRSSw4bbzmQA1vOVJvZSnydbrnk7CpcvqZTkIybegJFiOFYWhoFjUUFjw2nU/d3MYTo1EubQrw4/OzdM8YgsTrIXA7ao25ofsFWgf33ve+l69//etcf/31vPnNb+buu++mv7+f73znO9ZrHnroIW677TZ+7/d+D6fTWdR7Ngrvec97+OM//mM+/vGPW5v80dFRXv3qV/NP//RPfOpTn1rTcV94ye51YrNb5Y437EIXl3/1fJIb+TphX3fHM+g6fP9tB9d0Dn6nDQGVas/a0gimO0VnZydBuRyn08G2+oqiyBtAW42Xthov5ydizCWNuptEIkF7e7v1mqNHjxKJRPjBD36Q+962NhTFkAswa5DM/xaDuY0kcFJuBA5gKJhGFIzJ0Z3H/3QpVE1H0XSeGjFqIYptFDAX9oDLxnxCYUdrE1cdqDaEhieDBJMR/DaV9iceYXhB0sBMwa2mTbf0c/7oSB2ff3h8RVcEk8Bl1+IlMhqzCx6IAnBoBfJkRuB0fUHuoz9ERtUW9K9mScoaC5qlJBe6YleDJApcva2cbz4xhYDONW3lJblKGL6lXh4diqBoGuFkcZu9fL6u//T7LTwzHmf7Bsgk2Gw2ftaXYSiqY7NJaKg4bCJb6sogFmV8fJzu7u5F2QscaLpO70zcIrCD8yn+9f5RAN59omFFv90dNW5EERTVsPLLxv39YRRV54qWAAGXnYDLaIIwG0cUVefcRIzvPj3NRDTDbFwmpRjjmFF1TvWHGQun+ddb2vjRuRkmwmlm4zLpjMpkQuAAxj1oasiZZC4ejxOPx9E0jWg0yvWbIROeJaL68Hq9OfOmoul0TSesSFoxvq7nJ+KGUDD5jdiv3VbOb7uCtE/F+cHZmZyNzUwsw3efnkYQDGmU6HAo72dous5H7xoinFKQBCOC/67jhe3ZzMhjPgmbf9gcRElEiceCPPDAA5Y2nRmpW6pNtx4IgsClTQbzO74lwH8+NsHpoQh/crx0X1cT26vdiIJAz0xymWfqCwE+n49HHnmEL37xizz99NMcOHCAz372szQ1NVmvaW1t5c1vfrOlGlHMezYCo6OjzM7O8qlPfSrnuWhsbOSf/umf+Ju/+Zs1H/t3jsCJAlR47MuaEEzJDVEUcyQ3lkLX9RULkouBwybi0nTKPKUPv6qqDA8PoygK+/btY2JEQxiaWFNNyb5NPvZtMhaUZ555JidiUVNTw6OPPsr09HTOe/bv348kSZYpd3YE1UyHmz/5JqzVUqj/+dgE4ZTCq/ZUsa165e7NpSnUUFIhmJDZUuHiS68rrrtnOJQikdG4tMnHy3dWUl+itMyP3rY/59+VlZU8NSdgsyU43lbN8aN7c2rpskVns9MwK+3YX3uwllsP1KxI+kxPy+wuUp9T4oYdFZxd8NpcqfFAynq/qut85oFR62+GLZhhIWWiWH25K1vK+OrpCRDgmiI7e7Nx+dYAjw5FUDUIFtm1LeYZC7skcmnT2rrKIinDN9nE+ck4P70wiygKiJqOwybhkAS21FcS7h2yfA1NbbqaUBBVUXjkQj8NiX4kt59/v6CTzOi8ck8V1y+4NBTCjhrPQoRUXzbudy24Srx8R/7Iok0S2FrpomPaqMm0iQIVHpthCaZqyJrOkUYff/frQaZihu2YnNEQ0XlmDm5YcrxsMldRUUEymSQej5NIJJBlmWAwSDAYxOVy4fP5GE/AR34zzFAwxSt2Gec4E185zRhKKnzivmEyqqExtzXPfWuSs7/8aS8/ODfDtW3llobal09PkFY0XrGzkp21Hh4fzv85oiDwjmP1PDQQ5uHBMNPRDHd1z5NWdK7bXl5UY4D5LO/Jo00XDoeZnZ2lv7/f0qbLfuZdLte6y4fq/Q5aq9z0zyXpnE6suebWbZdornAyOJ9iJJQuytv6YkMgEOCDH/xgwb+fPHmSkydPlvSejYCmaQX9ix0Ox7qykL9zBG4pVpPcWIq1SGcshawatWfF2reAsYgODw8TDAYpKyvj+PHj2O12ptuNIsz12oJ1dnbm/DsQCHDkyBHuvPNO63dut5vW1lbu7gnhsosc2ezD5RBRVdUidKY2l4mlZG41Avftp6ZJyhrxjMbfvDy/56wJmyhgkwQyC6GWoYVC8XwTfiGkZA0diMsax1dRYy8WpnzIvnpfwR17dj1dMpnE4/HkSFks3bGvNtHni8ABPDQYAd0guytZnllODLrRZPPKPVU4JBGbKGCXBMbDRhODoumoOrhXaWIwMReXDUKlw3xSZgulLQxHmwKIgnFeQwUaAZbCPLP1PqqJjMqHfzVAMKnwpdfttEjynjoPtx2p59xkjKfHYngcEomMSpnLhtnDnS06e6W3mu/195Bx+2htq+RjpyaYjis0u2XaUj08/vjEigu71yFR5bEzFsnkROD655IMzCUXdPcKR1f9ThvvvXwzfqeEzynhd9oIuIz/N8s4vvv0NEPBFKquI+iQ1HSemV3UR5yNyTw1HqXG67BSdYIg4PF48Hg8Vlo1FouRyWQIx5J8+2yQ3w6kiGaMlO1YyEjlrxSB03SdT98/wlRMNsobBJ2KAhvdrZUuXrm7ip9emOU/Hp3g767fwpNjMR4diuB3GZ6uq6He72AyKuO2S8QzGl97fIpISuFAg5em8o3XpotEIgwPDxOLxTZEwgbgxJYA/XNJHh2KrInA6brOhamEJbL86845av0OjjUH2Fy2fpvE33U0NTXhcrn4xCc+wV/91V9Zv4/FYnz0ox/l2LFjaz727zSBK0ZyYymWpjBKha7ryKqOaxU/zGzEYjHOnz9POp0mEAjQ0NBgRWymY8akuF5bsI6ODuv/RVGkqqqKp59+mvvvv9/6/a5duxAEgTvOjBNJqXzntr2WjIMJTdMsEpdN6ExSZxK4CpdB/H7VFWIsnOZdxzcxGk5bEYbGsuK+j1MSiWdUVE1nYCEyuqWE3eNCYIOUXPp1lVWN27/TSVO5k3++aVHkayX9t+yFvbGxETBcPcwoXfaO3e/305lwc3lrOXWVFSvu2PM1IczGDFcJMDQCV7IFGw2mmU8oJJU4oiAsSyXdcWYSp03EJcBfXt3I1UUKUN/TG8Ipiei6xtcfnySR0bi8Jb+MSD5sLnPgsokkZK1onap8Ebi1wOOQEARDtuLseIzDjUYETxQEbtlfzS86jCJ5+0LOttwlkS/Y01DmxC6JjEUy/KgnQ38EGis8fPymVmy6vGxhN6VUsn9aKp2MRTJksuafu7I8XVdKedkkgRt2rhzle93BGuIZlR+fnyW8kLKcSRq+oTtqPHTNJPjcg2Nc2Vqet9ZKkiT8fj9+v5/Tg0G+8Ng40zGZuLwgMi7CH+128onTaWZimYJ1tD88O8vTYzF0wGkDQZBW1Dp74yW1PDAQ5slRownjW08aGYPbL63LiZoWgtMm0jObWJABMaSJAMJJlaby/O/52uOT3N0d5M+u3MzRptWL2LKJrmmbpKoq0Wi0YKd7sRI2YHSrf+vJKR4ZivD2y+pLjuoNBdP8zS/7sUuGRMnp4SjzCZlNfsdLBG4DIAgCn/zkJ7ntttv46le/ysGDB0kkEjz00EM4HA6++tWvrvnYv5METpZlurq6mJycXFVyYykckoAhCbk2mBE8exEt35qmMTAwQF9fH83NzbS1tS3TyZuOGumItUbgdF1ndnaWRx55xPrd1q1bueGGG5ifn6e7u9v6fUNDA7+5/xHmog6qPDb0TBLN7s0hcOb/Z4eLTQKXkVXCSQW3XcQpGZPYfz01ic8hEYxX8shg2JIm8Rcx+YLhIZnMaEzFMmuKwAkLZksZtfTFfjYuE8+oJLPI32xcZjKaodJjLzod63A4qK6uprq6GjCuSSKR4OmhWT7/yDyff2aSv9nVhd+1uLDLspyT8rblaWK4f8DovDzc6GdPnWfFukNFMyKRhYjshck4dkng72/YahGZ1RBJKTw2EsHjEEkr8MRoDJsolkTgBEGgocxJ72zSKsZfDRaZ3QBf12vbKuidTXJvXyjnez8zHmM+IbO9xsO+ei8zsUyOTVQ2bKJAc7mT9qk4P++Yw+sQ+d8v20LAbQfsRS3sftkP2JBVnVgshsPl5v4+I95XSmdvIQiCwNuO1hPPqPyifd64r1U41RdiR42HlqrV9ewAHhwI8y/3Gul3SZJw2lUUFXZW2mj0CQQcMJdU6BmZYHPVYqMHGPfYtxZs0yTAbpfQdfCukMr0OCTedrSeT50a4VOnRtB02Fnr4WVFNqtUeuy89kAt33hiknhGI60oeOwSoRV8XbWFhprp6NqE2MEYm/Ly8ryd7oUkbNxud16B5aYsX9fe2aTlL10stla62Ffv5exEHFnVmV8oVXih1cFdzHjjG9/I3r17+exnP2vJiPzpn/4pH/jAB3LugVLxO0ngTp8+TSAQKEpyYylEQUAQFlNOpcIkCvZVOlBNdwpd17nsssvyXmRV05lZEPBdKk9Q1LlkMnR2djI1NWUJGAJs2bIFSZIYHR21bI0AXv3qV2OvakQQZqi2K/z41ON8qd+L1y7wmZeXW7vGpdZiZpRuNqGCIFDjc+B0OomnZEbCGYw5SeeRhXSfAEgY9kirNUiomo6i60RTqrW4lFK/YV7HzBoiq3NxY5KvWkKMbt5bjdMmrrm+RRAEvF4v947NAsY9d93VV5KML6Zeg8EgiqJY93Iw7TJqErMI3Km+EAC3X1rPvk0rp1ZWuh8TGZW+uSQuu7hiqm4pzk7EUVSdy7cGGI9keGI0RvtUnJSsWV1+xeDk1gATkTRtVcU9qyt11JrQdZ0//3EvbdUu/uhwPZUFyO2VLWV89bEJHh2KkMgsKt/fsxD9uq6tnN/fbaTKMpnCtV0Bl0RC1vAKAn9xVWPBe7TQwu7on+FXYzOous4TTzxBR8TGfMzNjko7tnSEdDqwLj0pMO6795zcTCKj8cuOOVQdftY+xzuObaLe78BpExlbiJIXkmK5rNnPzloPmqbTPZPAIYq4bAK3HNpEVZWTam+CuWSaiVASpy5bzg843HzivhE0XWdvnZcLU3G2V3vonknkiBLnw1WtZfz0wixnRqK47SLvPtFQUnnKzfuq+E33PP1zKTTdmKPDK/i6mlqMMys4T6wFhTrdzQitqQbw0EMP5aRe/X4/x7cEGAkZvq6lEjiAP9hfw/lJg8DJqorXKZU0hi9hdRw4cIAvfelLG3rM3xkCl06nuXDhAmB0UpYSdcuGGagR1hiDEwWBm/bWFFzAVFWlt7eXoaEhWlpa2LZtW0ECE0wYHYZ1Zc6S6+kmJyfp6OjA5/Nx4sSJHI/J+npDh2qpsf2JEyd4OubCZrNxeHstmwIO5L4BorIR1ezv7ycWi+F0Oi2BVHOikSSJuYRZ/+ZAFEWm4iroRoRCF230zqUWxsgQCV5a3Gl2vGaTOkkwXhxOygyHUtgkgc0r1HothTlqa43AGd9ncfGv9tqL81BdBZGUwulhw1XCKQk47TacWQv72NgYU1NTNDU1EQ6HCU8GkWWd0fEJnnpqjpjopX82SY3PwZ4irLxWyuh3zSRQNZ39m7wliYVe0VJGW9VOJqJp/uaXA4Z9m6zRMR3nks3FNxS863jDit2BS1HMo3BfX4inxmI8ORbjxNayggSuzG3j8GY/Z0YiPDIU4WXbK4ilVR4djmCThIKuEkvRVu3mvr4we+o8nNhSfAQSjIX92I4G6k6HqPTYuPLKQ9z1634kKc7hGiFHm27pwl6qn7QOfODqJkZmIzw9LTOfULi7O8j1OyvZWuGiaybBSChd0PTcIYlc2VLGl09P4LJLJGUNr0PiqtYKXHaRpio/PfMy3+xIs6tCYUtAZGuZTJUrwtWNNgYiEiMRY9PYWukyCFwRzQS2rGjRSjp/hc75bZfV8w+/GSKa1gBtxQhcrp7ds4dsCZvNmzeTTCZ55JFH2L179zJtuoDoQ1HsnOqZ5Q93+YpKvWbjSKOPLRUuLkzG0XSjM3+dKlcv4TnAi57A6brO+Pg4nZ2dlp5PfX3pdQImDNcDoagUaD647CLvuSJ/m/L8/Dznz5/Hbrdb7hQrwfR0LaTOnw+pVIr29nbm5+fZsWMHmzZtQhTFnG5Tk8Ddfffd1u9qa2tpaWnhJ/cbor5bK11WtMwuCezZswcwmkLMKFEoFGJoaAhZlvH5fHx70EkwoRJJGErnbTUe/ub6rYSSCrV+F//zumb+z68HQACbzY7T6bTSr4UaJBKy4efYOWNEe1qq3CWRDCsCt0EEbq3omUnQM5tkd52Hlko3d/UErXrLQpZgoihaO/aEN4ZjYIDyyjJqa93c9cw8qqrSJAR59JFHcupqfD7fsoXdctfIMwyWq8QKUheFUB9wUB9wcE1bOT+7MIes6jw6FCmJwJUKU9uvUMNRStb48ukJdAzJkdXqUa9tK+fMSIR7e0O8bHsFD/SHUFSdk1vLckR7V8KBBh8Bp4jHLpBRtZI1IO2SyA/eug8wGkPOT6XwOu287vJduOyi9dyZC/vQ0BCKohhSN0VK2KQVjdd9/QJlbhu37XLRF5RxOWxW+nRrpUHgBudTBQncM+Mx/vPMJKIgcKTRz8ODYa7ZVm5tWGt9djQdhsMy0/EFL1ZNw2sX2Fom4ZZgPCzTXGbnZKOLhrL6HPmc0VCae3qD3LKv2qpxe3Q4Qud0gnK3DV3X+eIj43zkFVtLmuOPNwe4ZLOP+/vDyKpulabkg1lvXKye3Uo4MxLh/v4w77+qsahNuCAIebXpwuEw/z08xUQkw68eepI6NznXfbVOd0EQ+IP91XROJ8jIhjj1SxG4taOvr4+rr766qNe2tbVx3333relzXtQELplMcuHCBaLRKPv27aOqqorB8Sm++/Q01X4nN+4uXf1Y03XK3Taq19k0kA1FUeju7mZsbIy2tja2bi1u8jEJXDENDJqmWTIWlZWVnDx50kq5mKF6E4FAgFQqxalTp6zfXX/99QiCwMCcUYe0tdLNbCyDIOTueG0227IJJp1OEw6HGT0/iqrrdE5GuO+++ygrK2N7IEBZdRmZTAZFA0kS0HWjGH+1BglN0yx5haE5Y9feXOYoKvVqna9ovH8tU9ViRHH9BO6xkSjfe3qadxzbREulmyqPHceCiG0xHZ9mBEKSbNRvaqDjwSh2O7zluh1USJmCC7s1ua/wEWZTxp51uEr80ZE67uycJ63qPNAf5k9Pbi742o/+dojumQQfvbGF5iX1jP/+0ChJWecdl9VTXkDUdzVXiR+em2E2LiMKxuZjtW7Vo81+vA6JcxMxpmMZ7ukNAXDd9vKV35iF8xNxwimV+/sjfPrUKB+6rnnV9+i6zp1dQSSRHKmRe3tDaLrO5S0Bixjle+6yRWeXStgsXdh1XedzD44xl1CYSyiE0zb+4TKRI4f2WXORmfYdmE8Cy2vMJiMZ/uXeEVRN561HDeLlkAResdBAoag6CVlF0XSu2VbO/k0+uhdswSYiadrnVOIZlYwKA6EMn31onJZyG3IqiaaU0Vrr57+enuaB/hC/7Jjnpj1V/N7OSr786AQA77t8M995appnxmM8NBixtPCKgSAIvPN4A48MRcioOp0Lsiv5YAoST68zhaqoOl9+dILJaIZDDb6i6/ayka1Nd+1OnR+fn0Wu2cGhNo+1kZ6amiKZTK6qTXdlSzn/4Z1gJJRGVl94WnAXEyoqKnjf+95X1GvXY9v1oiRwpuRGd3c3mzZt4uDBg9jtdhRFYTAu8Z2uMSSBNRG4Be93NsAFC4CZmRkuXLiAx+Ph8ssvN+pBikSxDQyJRMIisnv27KG2tjaHIC6t3XE6nTz44IMkEouT2A033ICiaoyE0oZ3asDBaMhMeRYeDEEQcLlcuFwuUtoEoNNcE+DIkd1G6m9hgkkkEjwW8aGpdsuDUdO0VRskTAI3uUBmt1Q4C2rTaXmq2n/9rrWJMcPiDvzZECW+els5X350nHBKLcoz17wGiqZzYWrRVWJbjVGzlm9hD4fDjI6OEo1Gmc1IgBEVm5ubsxb2tKLRPZvALonsqFm7CG5DwMkVrWXc3RNiNJwmnlbwFohexWWVcEpZJonyzHiM7z0za1g2xTP80yu35X2/eW/n60KdjmX40blZY4ESjPTZatJADknkitYy7uyc58fnZuieMaI9pUQRZ+OyEW3SFyO3xeDzD4/htksWgdN13eo+vX574c7SlURn8y3snUkvd/ZoC98XGvw2nFpuHadJ4IaC6WWfl8io/L+7h4imFa7ZVs4t+6oRBIGdWdI8GVXjR+dmiWc0HhwIs7fey19ebWQjIimFZ8Zj/OPdwyBoVLglphIak/E0j4yl4al5nDaRTX471V47ExFDrPc7T00hq0ajzvU7KvA4JP7l3mG++tgEhzf7cNlFMkWWt26tdHGwwcuZkRjjkcIROK9DwuuQCCbkNUVTTdgkgT8+vomP/naIO85Mclmzv+iIbj6c2FLGj8/Pcno4ypsO1+d0uherTfcH+6r5zINjKAv+2i9hbaisrOSv//qvn/XPedERuGzJjcOHDy9jt4q+8LCt8eY0C6PFdd7dZgPB9PQ0O3fupLGxseS0rrkQFIrAZfu51tbWcuLEiWUCxubrsiGKYo6diCRJXHfddYxFMiiaTkulC5skIi+w2WKHIikbxGpLhcuaMEzVa1mWefyeAZxShNe3webkAPfc02PtGM2fpVIan7i5DU3X+PH5WcYiMm01XpxOZ15tOpOQyrKcE6Fbq0L67AZG4EzbLzOVG0kphJIKkgjuVYq4IVvIF04tRIiuyeMqUWhh7xqfh54RdKC7u9vSppvRfWRkld217nVvWt57soF7ekJoOvzg3AxvuTR/rWC+jtqxcJp/unvYcpW4elvhaIW0QgTua2cmiWVUZFW3mpGK0Xa8dls5d3bO85tugzxd21aRU3e1Gg43+vnxuRky+mLkfDUIgqEVqbN4fuMRw01hc5mTnbUlNmDlkbCRZZmzw7P85L4pMooh2CyhE52dQHAITE1NWdp0Znf3wHwyRwZE03X+9f5RhoMpttd4eM/lm/POZR6HRGO5kwuTCeIZLce3N+CyEUurOCSBa7ZV8sFrmxgLpbkwHqZjMkr3bIqxqMqgSR51iKUXxaXPTsT4xH0j/PGxeg40+Dg7HuNTp0bpm0uy2yPQtrW4MfrQtc2cnYhzfQFhZBM1PjvxeZXZuLyivuJqONoU4FhzgNPDEb71xDTvPll8redS7Kh1U+mxMzifYjySzjmvfNp0iUTCitCaEjZVoh1J8CIKMBcMoVQ5N8wD/CUYMJvQtm7duu5jvWiujCm50d/fT1NTE21tbXlvPHOuXutapC0cQCqRbJnIbiAoLy/niiuuWNa1WSz+9PJG3ni4Pm/Rrunnmk6nOXDgAFVVVcsm1R+eneZrZybYWeNBkiQrcjU2NsZPfvIT63WveMUrqKys5FyfsXi1LHQDum3GTrRtFccEE/ICOdmdRzDXbrcTUyXsdjvHD7Sxq9ZjTTDhcJihoSGi0aglfmn+HKg3IkVzCZUKt53Was+y1KuqqoyMjNDf329p6GVr00H+BonVYBLoqiL8OVfDUleJgfkUCFDusq3ooGBC1426lVBSZiaWQRAErirS+UAURWorAtgXhJFPnDhhadM98fQMqiYTyMxz//33W5IG5q7d6XQWvfGo9TvZUeNmLiHTWF540TN5kZq1rwinFFKKiiAYDRetVYXHJFsHbjiY4uxEnIyqEUwo3N0bQtV0KxoWSakMh9IcXSWjuavWQ53PTtdMEr9T4toSpTsONfgM0WlNJ5goXCC/FIKQK4eyuczJHW/YxfTCNV4vUprAF56MoCJht2mg6ngcIpsqncSiy7Xpyh0QTClMR1LUlRnzwH89Nc3p4QgVHjv/67rmFZsI9tR5uTCZQF0olM/G3VmpaVEQaKpw0VTh4vf21qFpGvPhKD9vn+Wh4QTBlEZG1TFjmZGUyk8uzHH51jKubCnj3ESM08MRdEBJC3nlN/KhPuCkfgVCNjiXxGETqfE6GJxPMRNbH4EDeMexTTw1HuPXXfO8bEc524ucT5dCFASObwnwy445HhmM8JoDhTNMZqe71+tdJmHzhc0h1FSM8Nwg9493rUmb7iXkQlVVPvvZz/KJT3yCsbExdu7cydmzZ3nlK1/J97///TVLibwoCFy25MbRo0dXHIzFWvU1NjGsIwJnNhCEQiF27969rmYKMB7CiiXkQVVVi8hu3rw5L5EdD6dpKHNydjzGdEwmrcSoqKhgdtaQrfjsZz+b8/o/+qM/AmBgoUvUJBSiKBhpjSImsIyiWWO/pz6/FEV2Td9KE4yZeh0bGyOVSuH1emkqK2Pf9jIkJYWmSRYJi8fjtLe3k06nOXTokJVKNAncSg0SK9mCpRWNaErB55TydhTrus4Hf95Hc7mLPzm+aVWf2qUp1KFgClEQ+IP9Nbz1aP2K7wUjnR5Jq3TPJPnlHx+gZzaxTN5kJVR5Hdz7nkPWv01tukklit2m8MoTbewoF60d++DgIPF4PEd0tqysDL/fv+KO/cuv27nqPW9GtpSsRXdPnZe2Kg+PxSO4bNKKi2Z2DVzPbJIvPTq+eGwh97hmI8NqEASB7TUeOmaSeBxSUaQ6Gz6nxJYKNx3TCWIZFUXVi2q2EQUBjVzy4XNK+Jylp7PTikZa0XIEbr/5xBTT0QwVbhvBRAYQKHPbqSj3IaCzf//+HG26Wtc80zGVn546w4E6JwNpL9/pVrFLIn99bdOq99zuWg+CYJDnlLwYgRsKpuiZSVDpsedNTYuiSHVFGVXlMtNdCXRdMPQkbTqKZlrAQTQS5gtPhpEEAUVXUXWBuRQMRxTqVjdmKAhF0/nZhVk+88AYomBIl0Dx0dSVUOd38NqDNXzriSm++MgEH7+pdc0NBIcafPyifZYHB8J47CJOu8h1bcXV1q2kTWem3LO16bJTr+uVsHmx4y/+4i/4wQ9+wF/91V9RWVnJxz72MRwOB1dccQWf+9zn+PCHP7ym476gCVy25EZrayutra2rRk9cUvFCunk/c2GNL+Xtuq4zOjpKV1cXtbW1XHHFFXlTmeuBrus5RPbw4cOUl5cvWyzHwmne/f1OLm3yWxExURDYsWOHReCy0djYyI033khG0Tg3EUXTdSsCZ+6gixnLuSz/w9Y8el6arjMbky2vxnwoNMFk19KZwsNmB284HGbTpk0cPnw4t3ZOFIllNH7ePs+uWg+HGnzLGiTykTozUrdaA0PXdJJHh6I8OhTlHZfVs9r0ZqZQ04oxppamXZFEIZYxOvoyqoZNElY0R88HTV/edaYsFHNLosCuWg9uu5SXUJsTfLaafPbknr1jL2bDkq+LdCaWoXsmjiAY4quFRHNhsR5Q0410/60Ha3BIInZJwC4K3Nk1z7mJ+EL6NNf0fiUkFvJ1aVUrmoBl49ImHx3TCRRNJ5JWqCwicisKIK/dKtHCmeEIn7p/lGu2lfMnJxbTdG+5tB5Z1Xl8NIqOgNO2/PnLfu4umXXSHZnGt3kTtjL47qlpVFXjhpoYU52PkxhbeWHfWetBFIwxj6QXv9jdC3V917SVr5iaPtLkp9Jjx++S8DskXKKGpKbJpBKoqkpG1Wj2CfSFFNIq6OiIOjw2luToduMYz4zH6JhKcMPOiqKuQf9cks89NMa5iTjyQgrf1KbbiE5UgD/YV829PSF6ZhLc1R1c1TkjH+7rDfGl0+PYbSI9Mwl6Z5O0VrlWJXArmdevpk23kRI2L1bEYjG+9KUvcfbsWXbs2JFjW3nFFVfw93//9797BK5UyQ0TbsmofVlr4alZGF1sh04ikeD8+fMkEgkOHjxoPQgbCdPPdWRkhC1bttDS0lLw4fnpeUMMsrHMRc+MURMmCnDVVVfx8MMPL3v9hz/8YRwOB/1zSR4bjiIIi6TCrIErZiFrnzI6GSVhMV2YjVDCKFqv9ztK2n06nU5qa2upra0FjAnGJHKqquJyuRgfH2dubm6ZNl3/XJLvPDnFkUY/hxsNS5ylDhLZVmC6rltp5omQMXZVHhuqqjIZlfltT4g6n50bd1dx70K6WRQoSpjMuSSFOhgsTZTYsYIMSDG4tzfElx6d4JZ91bzhEmMse+eSZBSNnTWevMbeKxHqSCTC5OQk3d3dCIJAVAwQFVxc3lpBfXXlihsYKU8N3P39YVTd+J4Nq9isPdAfYj6hcH9fiD/cX5OzYdB1nR+em8VhE2mrcvEPN7YWVcMYS6ucnYjhEAUyisbH7x3mrZfVl5Q+u2pbOd94YhpNh/l4sQROQNO1gtZTxaKp3EUio/JAf5i3X1ZvycZ4HRJXtpZxd0+QhjInU9EMZSu4oLQs3I/98xnu6UujCRKvOVTH247WkUgkVl3YN/l82EQBVdMJLYjlKqrOfQvp05ev0onZEHDmGXMvul5BJpMhkUjw3ktFPv1YmP6QSkrR0RF4ZCTBm0MhPB4Pv+6c5+HBMFsrXRzfUvgapGSN7zw1xc/a50jKGhlFQ8BIpx/fUsaDA5EVfV1LgV0SeefxTXzkN4N8/fEpjm8JFGUFlg1V1y1LMAHDsjG0giCxpuv8yX93E0+rfOvNu4u6v5Zq0wEbImHzYsb09DRVVVXs2LFj2d/Ky8tzRPRLxQuOwK1VcsPEeq3ozUVlNQKn6zqDg4P09vayefNmDh8+vOHFoLquMz8/z4ULF7DZbBw9epRAoLA3XySlcFf3PKIAr9pbzbefnETAKCC+/fbb+bd/+zeSyUW7ope//OW86U1vAmBwPomq6ThtokXAzIJ7RxEEbl+9l9cfqsmpa8rGWjTtlkJVVfr7+xkeHmbr1q20tLQgimJBbbqzcT+yYqPSLhOPx3NsfWBlW7BgyvgilW6DwF2YiPCrjlkONfi4fnsZjy2I8BpG7KvfdeGkQjil8NRYFEXTGQmmkUSBxiK9CE2x07Xe37NxmaSs5kQ/1iIfspRQa5pGPB7ng78Y4vxsiq+fH+ODO9pxuRYbWRRFyYl0LiVwuq5zX18IUYDXHaphxypK8/GMkXScz1NrNhHNMJ+Qaa108alXt+Ulpvlgar/tqffSORXn7t4gBxp8NOwpnsDtrPEgLUSfnh6P0VZEV292OniNSQPA0OPbU++lfTLO46PRHDHhu3tCAFzVWk5a0RY8c/PLaGytNBw/Hh6KYBMFDm32cfvRekSx+IXdLQZIIzIWjJNIJHhmWiacUthV61mz96YgCDidTpxOJ+Xl5Xyksoq//fUQXbNpNB0mYypPD83RUh6mQkyj6Tpdk2GONnoLbnY/eWrEeo7BGH+PQ+LV+6qp85tacBsn5nu40c/JrWU8PBjmG09M8d7LC0vt5MO1beX8qnOe9klDE1PDqA0sFGETBYNIxzMq0bRaMmE0UayEzWc+8xkikQiXXHIJzc2ry+i8WFBXV8fMzAw9PT1s374952/PPPMMra2taz72C4rArUdyw4QA2ARhVXuWQrBq4FaYTBOJBF1dXciyzJEjR6wbeyNh+rlOTEzQ2tpKc3Pziunj+YTMf54eJ61oXNlaQe2CNY6p49bc3Mx//dd/8aEPfYjR0VH+8A//kI9//OPW5HZ+Io4OyJpmLSRWCrWIov+6gIu/uHpLwb+btjSmxlKpCAaDtLe3Y7PZOHbsGD7fYp1doQnm9H1DCMTxyBH+7LvP0BOzs7tC4H+eKLcidUsjRWaDRChlRETqAi4cDgejUYXxqIx9KsFIKMXEggyBJEAmI6PaVm6QsEkCqg6JjMZkJENG1dha6So6TWdfZ4voXB5R4h01bl6xq5JLi/Q+zQdRFLG5PAxEjMjA5govV1110Jrcg8EgsViMrq4uxsfHKSsrI53Sc2zBBoMphoMp6vxO3nFs06oR2kXSs5zOmqR0X723aPIGcGHKIDQ3762icypBRtV4YjTKTXuK13ASBYFt1W5CSYUKT3GfbdbarrQHODcR5V/uHeXlO8oLdvaC0UnbPhnn3t6QReDiGZXTQ4arxM17q6xFfGQkP4Gr8zuQNeN9u2o9/NU1TQVTnoWeu/rJPkJzMvNxmccee4wfjHmQFTv7y+QcCZu1QhAEasu8/L+btvOBn/bSN5ckpQqcGlNorbDT4BPRNY3uyQijoxp2u92SOnK5XNYz+rqDNYRTCmPhNJGUgmYT8S00sGQWdqLr1YJbindctoknRqP8tjvIy7dX5MiwrAZREPjjY5v40M/7SMhG+tiMypUVsFqs9TmYi8vMxOQ1E7ilKNTp7nK5OHXqFE888YTVJHf48GFOnDjB8ePHOXbsGAcOHNjw8qLnG16vl5tvvpkbb7yRf/7nf6ahwShhOHfuHP/wD//Apz/96TUf+wVB4DZCcsOEWzJ8CUutETKxtdLND99+iHyxDk3TkGWZ9vZ2tmzZQltb27NSBxCNRunr68PtdnPs2DG83tW/ywN9IX50fgaHJPIHC91JVkfuwlC+/OUv54knnsj7/guTMcDoijSdAbZWuLhlfw371yHwasLStCsxAmemjycmJti2bRvNzc2r3hvmBDOdErHZbLz8sh3c84s+FD1FVLWRSqUsbTq3252TevX7/Yavq0k4/Q4kSWI6piIAlV47HTMZdBY2C6KIrlNQm84kdU6bCDrImr6YPi2hUN69QODWE4EDqPIuTgn7N/nYX4L3aSGc6gtbtX31Aeeyhf3JJ5+kqqoKp9NJJBIhEYshy3D2/AXcYS/3TDnQdJ0rtvqLSq8v1sAt/5vpKlGqKPEHrm7k5r1VPD0WQ9U1dB2eHI3mrR1cCV99/a6SPtfk76quY8vTeKXrOv/+0AT98ym+dmZqRQJ3eUsZ//HoBE+MRomkFAIuGw8OhMmoWtEpO1EQaCp30jWd4LYjdSXplpnP3Y17a8mcn+N4c4D9h/byr/1duGw6uwNKjoSNGaHNJzpbDMpcEh97ZStv+/YFYgrcN5jkf12/DTwJxGcSTMSNG0SWZWRZtlJZDofh1VzttKNpBgGq8zuZiWW4sqUMr0PCo4s4JJGJcJr//ct+dtR42FnjZmetp6jUeCFU++y8/lAtX398ki8+Ms6/vGpbSYK6u2o9XLOtnF90zJNRdTKKTiilFCRwNT47HVMwHc+wrYC7xkZAFEWOHz/O8ePHATh79ixXXHEFH/vYxzh37hw/+9nP+PCHP0wqleLw4cN873vfsyK5LwZ8/vOf5+abb+bWW28FjGfh4MGDfPCDH+SWW25Z83EvagK3kZIbJhZJy9oIoCgIuOzL3xsKhTh//jyqqrJnzx5L32yjoOk6jw/OE18wNa6rq6O5uRm3u7iH7pcdc+g6bKtyWykouyQgCcKKBeEmRsOG/tLWysXP21XnZdcaifBSlOIqYWJmZobOzk48Hg/Hjx8vKSKraIbEhG0hTRlwGctjTcDNvn07AWNiNxskZmdn6evrM3aSXj8/PiuSUiGdzqDrOn96cjNHGn1Uex0cafLz9HiMOzvnEEUBm92O02nPq01nIpxIo2MIovbPGSRjS5H1bwBuU+x3jQxuI23B7uoOEk4pvGpvFXZR4Jcdc1Y0rCpPg4ogCDgcDurr66mvr6dhZozzkXmatzZQHpB57Kl5VEXDM9fNo48OL5M0WLqwm//MbwtmROD2lkjgBEFgR42HxjIn331mmqmoTDilMjifytuUs1Ew56lCEbjHR6L0Lrij+Fd5jr0OiWPNfh4cCPPgQJjf311lNQ+U4gJwaLOPiXCKcEpZk5Dtaw7U8poDRor9h+dm0BG4qq2SIwcNbTpTwiYSieSIzpoSNubPUk3IbDw+EuGDP+/n4CYv79ql8dl2iWu2lSEIhh+rz2ljLqVSWbcJUZVJpVKkUikURSGTyZBOp/nmhQSdUxnqvRKZjIyu61zb4rUExqt9dvpmFc5NxK37CqDKa2dnjYcdNcZc21btziut8vP2ORySwHVtFTmR9lfvreae3iB9c0l+0zXPjbtLU+p/y6X13NsXIpXQSKsaoaTClgKXt9Zr+rpubCSxWNxwww0WqdE0jZ6eHh599NENrRU/deoUH/rQh+jo6KCxsZEPfehDvOUtbyn4+u9///vcdttty34/Nja2ZteEmpoaHn74Ye6//37OnTuHw+HgqquuYteu0jZ0S3HREriNltxYirXquC2Foij09vYyPDzMtm3bGBkZKSoiVgo0TeOHZ/r57KOz/PEuN4ebaonH43z31FkGYyJ7apxctiVAeXl53oktmVFpn4qj6/DmI4uSFJvLnJQVqSgfXRDdvKz52fGwNIuBa4tIoWYyGbq7u5mZmWHHjh00NDSUfG+Mh9Momr6QphTxOYx0coV78fPtdjvV1dVUV1cDi+KXg1PzJOQpNHQeOtuDd66LQCDAzvJyAt6A1Q1nCrEKgriqLZgpB6NjaE0BNAXsRduCuW0SAqzZgHoxArd+AvffZ2eYiKS5bns5PofEgQYvz4zHEKGoKI+ZknO6XIRsfhJamB31Pm552T5rYZ+ZmVm2sJvF8uYQLJXfmI5lmI5lqPLaqVtjqt7jkHjToTr+9YFRFE3ngYFwQQI3G5d53w97aAg4+NSr23L+Jqsa7/1hDzfsKOemPdWF/W5XSAfLqsZXHptEWahFdRZhuXZNWzkPDoS5rzfEwQYfXdMJylw2DhfpKhFOKlyYiBNOa/zbA2NUuO1cXoRl1WgozZmRCFsrXdZ8o+u6RSCzmxdMCZulz5157YeGhlaUsJlPyPzj3cPIqs7ZiTh/1Ajf+sMGGuoXdUS2VhrG7WNhhV11XmvOVhSFdDrNTy7McnpCxmMXeNchD2NRja55Bb8SZmQkQkQWyGQySILO245UowsSvXMpumYSzMVlHo6HeXgwDBg1nVsqXBah21njocwt8c0npkjKKt8/O8PrD9ZyzbZybJKhxfiu4w383a8H+MYTU5zYWkZ5gQhaPlR57bzhUC3//vA4sqozGUlzsCF/JL1mA31d1wtRFNm5cyc7d+7csGN2dXXxe7/3e/zP//k/+dGPfsRvfvMb3vGOd1BeXs7NN9+c9z2qquLz+RgdHc35/VqDR6qqIkkSgiBw9dVXF+2RWgwuOgKn6zojIyPPmuSGGfPYCP42NzfH+fPncTqdnDx5Mu9FXy9MP9c7Hs+QVCXa0+W8cec2BEHgXzvP0zubYkC2cWmTIWRsim5mp/2entFQFtrfm7IEVK2GjCIGwyYJKJrOjburN/T7mTCLgVeyBTM7TDs7OykvL+fEiRNrfqiGFtKULZWmJIrx+5VqzixtunIRnSlA4BWX7eVAtWhF6kZHR0mlUvSOl4Eu4hR1orEYFZ5cSZelDRL1Zd6F7whDIWMsmssL24ItFSatCzh44H2XrGkskrLhQVnmsq25Ozsb2ZIoFW6RY80Bvvf0NIpWXMNLtpDvqb4QYLhKrLawm9p0sagPsCHLCsFg0FrY2xfSp/vq1ydEetPeKr58epxoRuPXnfPcfml+nT5RMMY2peR27ugLzgXtUwnapxIcbPCxvSb/pm+ldPDP2ucYDafRF7x8i0nlXtLgp9xto2smwY/OGbJBVy8Qh2LgdUpMxWQ03Yhih1PFiRL3zye548wkN+ystAhc10yS0VCaer+DvfWFo+craUIulbBxub18e9jFfMIY880BB6Asq9PbUmEQuIFgkl11i59ts9k4N5Xk+xei2CSJv355M3uqHexMp7k8nSaTyRhNS9MpBkMysgZfe3yav73cz7EdDux7K4gpIoMRlcGQQu98hr65JP0LP7/unAfAYxep8dmZi8NYKM1nHhzlv8/O8NqDNVy9rZyDDT6uaCnjwYEwX398kv9xZSPRdPF6Mq85UMNXH5sgpeh0TCd4xa78kSNzw7wRenYXIz7zmc/Q2trKRz7yEQBuv/12fvWrX/HP//zPBQmcifVm+0z09PRw88038/a3v53bb7/duoc3AhcVgUulUsiyTF9f37MmuWGue2sVSoTcBoIdO3YUVXdVKjRNY3R0lO7ubqqqqthaW8bsaIwzo1H+66kp3ni43prUXQ47u3fvBoyJzZzUwuEwIyMjqOk0f7nXx/moC1c6SCym4fV6rfcXU2Nxz3sOl1zvUwrMhaCQq0EqlaKzs5NQKMSuXbuoq6tb15gPLES5TEFWpcjuYoD5BV9LAdhe66U84MyR0kilUnzumx0EnBp/c0il78JT9F1gmS1YtkbW5jI7X7h1B16nxPt/3EuZ22Yp3S+N1qmqannFyrJsadOt2RJsA9OnsCiJkrFEidMICNhELPmKlWAutmlF4+HByIKrxPIoT6GF/fuz3RBPoaqaJeLs8/l4YMqNpmlsK5fWJcvhtIncsr+abzwxzWgoTVpRcdryyKzk0bMD+NH5Wavz0yEJtFQWJi+FInDBhMz3np4hnlZRNKNWrhhLMJtkOHT85PyM5alaSvrUJgpcstnHrzrnUTWd8AoyFbnfY4GIZp2jaRj/su0VJV+LQhI2X35klP5wFG1hw+pWY8TjSSYnJxEEwdKmM+VQTL1FE+ORNP9y7wiarvP2yzZZ8kLZi7mqqhxxxvjquQEyqk5C0ZFV4/eqqmID2jzGz8sbJBACzKQFhiIaAyGF/mCGsYjMcDBtlFOgE01pdKYS/NPdQ3zhkXF+f1clt19azxOjMe7uCRJMKDw9HuWNm4p7xp02kX/6/Va2VrpW7Ow3m8Yuhgjcs4EHH3yQa6+9Nud3L3vZy3jve9+LLMsFm2VCoRANDQ1omsbBgwf5yEc+YtXvlYqGhgZuuOEGPv7xj/PhD3+YG2+8kbe//e3cdNNN62rWgYuEwJmSGz09PQiCwBVXXPGs+a+tNwI3NTVFe3s7fr+fK664ougaNDAWpJlYhsbylZl9PB63tOP27t1LTU0NV+kzdM0kUTX49pNT1Pgceev5JEmioqKCiorFSTmVShEOhzkUiTA+Pk5nZyeCIDCQCKAoAol4jHQ6vaqa9rNF3gC+/qY9RFLqMo04XdcZGxujp6eHmpoaTp48mTci+74fdDEwn+QdxzbxhwdWl1w3GwVaFiyZNgUc9MxIRdVGjYSM9wpCftmTlC6hIVJX5uSyo3ss8ctQKEQkEqGvr49YLGZJaZiEbl99gISic9ul9Ubr/0J0LrsRxuxwDofDVqohO0oHpduCzcWNRXijCZxlCzaXRBCgudxFnX/1z0jIGrKq0zOTQNV0DmzyFl0YLkkSW6q8dM2laar2cPnll1jadP3dk6iqijLZy/2hnpx6qnwdxyvh7Uc38ePzs2yv9iArOvlq+c2o1lKhYFXTrS7GTQHHitEv85lTdZ0H+kNMRDLIms6FyThzCRmHJCBrhgvBVCyzoiiriWu2lfODszMk0gqHNvuK1ho0cVmznzu75tF0Q5alGJhnlD0Ut+yr5sSWAO4iUr/F4MmJFL/pT6ALIi476AhsrS/Dbp9CURRLm87lcqEKflRVpWcqZqW4EhmVf7xrmHhG5brtFdy8N3/USpIkttUF8NhtJGQZHYGaujrqAzYymYzVFCHLsvFs6ho1DqiphkurJcBNQnbx7fYEw1GVUArSaKgapDSYiGT4+hNTvOlwHXvrPZwZjnBhKo6q6XREin9GjzYXlpQyUeM17vmN7qa9WDAxMWFJGpmora1Flo2O5/r65dFzj8fDP//zP3PrrbeiaRqf+tSnuOqqq3j00Uc5fPhwyecQCAT43Oc+xyc/+Ul+9KMf8Z//+Z/ceuutVFdXc9ttt/GOd7zDCsCUiuedwJmenbIss2vXLvr6+p5V81xdN6aSUmvg0uk0HR0dzM3NsWvXrpLrrv7lnkF+8MwUfqeNX7zrkrxitpqmMTg4SF9fH/X19Rw8eNBi6Ne0VXCgwcd4JM3Xz0yys8ZTtKiw2R6f3dIdj8fpe2IcXY8yPzfL/fcP4HK5lnVcPldq2oIgLOuUSiQStLe3k0wm2b9/v5U6MxFNKyRljVqfg64Fi6KemSTFwKwz21phEHCXXcJhE4tqouifN97rkIS8EgqL9XwO67uZGlkmCmnT+Xw+9i+Mf7Y23UpEtlhbMJPMLSV1q9W/3dMT5MfnZ7l8a4DXX7I6ObZswdRFGRCnTeR/v7zZSlmvhPapONG0ymg4zdfeuKvoNJ2JD13XzIeuW9SZcjqd2H0VzGemqAm4ueXlB3N8dvv6+kgkEjmE2ux8LHT/220iv3rnwRXPYzEVnMvgrtlWzldOT6BqOttX6fwzj6HrcFdPkKfHYovnIAokMovkXdOKE3JurXLhsIlEMyq7V9HUy4dLNvuRBCOtO7bQ3LQazFtuaZCwboWSiZUwHknniH6nFY0vPGJYpvkcItG0jk0SqS3z4JAcNDY2Ultbaz13s8Ew6CH6ZmLcd+p+fD4fPxhxMhTU2VHj5t0nNq04v4uCwNZKF7MJGVXTUfVFHbpsqKqaQ+gURUGWZTwohNIacwnj+nnsAppubFg1Heq8Ip+5p5fHhpOIokAsraDq0Bm1r1vUORsuu0jAZSOSUkjKaknSOs8HvvGNb/DOd75zxdd84Qtf4K1vfav17+VNTqboef6HZWlq9bOf/SynT5/mk5/8JN/61rfWcNYGnE4nb3jDG3jDG97AyMgId9xxB1/4whf4+c9/nuPOUAqeVwI3ODhIR0eHJbmxHkXiYmFesmLvf13XrahVZWUlV1xxxZp83wJOCU2HhKwyFk5bdlQmIpGIRWQPHjxIZWVlzkNa5bVT5bWzvcZQAXfaRCrdNkaCaQJFdJFmQxRF/H4/vkAZdnuKttZmrtlTYS1o8/PzDAwMoCiK5Xln/jwXatq6rjM8PExfXx8NDQ0cOnQoL6n/2YVZvvvUFO86sdkis8Wk6PpmEkxEMpS7Jcs2yHSVKMYWbDhoLFo+R/5xL0YSpZBGVnYtXUdHB6Io4vP5SKVSqKpqNfRkQxRFHh+NMTCX5PjWMprKHMvswMwfE9m2YDMLNmeFInA/OT/Lk2MxBuaTRRE4x0INXEbRUDWd4RJFicNJBR0IJhU8DglPgXEuhIyqYReFnPvU1HHbU2cIt/r9fvx+vyVVYMpImPf/4OCgpSaf7SRQyv2fz1ECDFcJMFwlVovGL6YejUL/gw0+7KJR6C4An75/FE02ZE1cNsO1AVYer4SsGU02GJugUlHttVPhsTEdU4omcFJWJHG9+MwDo9zdE+SjN7ZYMjdOm8j/ecVWfnhulvv7QpS7bSRljQq3DbKChNnPXfPT3YyF07TuO8yv22e4MB/DJ2lc4xnn9MOTOdc9nzbdnjoPj49GUXW94PeSJAlJkpbVU+m6zjttEdIZGbcETlHDJWoImmJF1MeiKmfGIZI2apg1BIKqSO9cku3VHtKKxl3dQeIZldcdqs338UWhxmcnklKYick0V1zcBO5Nb3oTr33ta1d8TfZ1MkV0szE9PY3NZiupo/TQoUM89dRTpZ1sAciyzJkzZzh9+jRTU1Prqol7XglcIBDg2LFjlJWt3sW0UTAfs2IicGYDQTQaZe/evXnDrcViV513QUR4SSOBqtLX18fg4CBNTU20trauGoE0U1Q+pw1BAG8JWkzZMMdCFAXsdjtVVVXWTa3rOslkMqeWznR8WFrLtd48fjZisRgXLlxAURQuueSSnFRwNtKKxi/aZ9F0Y1E2v0sxRfL/fXaaSFqhPuCwFmPTF9ZeRA3c1AJBqyiQ1luURCl+XLLFL837zOxwHh0dtYjDuXPn6O3ttTqOzUjpwwMh7u4JUud3WHV9+WzBsqVMzIViOmoswpVuEVVVeWgwwuOjMV61t4q2Kjf9C3VC5UUKfWanUCejhijxlgpXUeQaFsVriyjpyov/d9cQndMJ/t+NrbQtRLhWkw+x2+0FCXUkEmF0dJRoNIrNZuNszEdDpYfLtlRQW1VR8P7PR1p0Xefe3pBhC2YT2LRKBKpjKk5a1RkMJrmytTznb8+Mx3BKAg7JxusO1fDmw3VFlTk8NGCYvdtEONUfxuca591Z/qjFYHedl+lYOK/bRT6Yp6Wt9aJmwZw/7+0N5egUtlS6rQ7kxnInPTNJo3uzQJa3pdLFWDjN3f1xft2fxO2w89Hfb2FblYtYLJZjCZdPm27/JiN6qemLG8BiIQgCBzbnX/c0TUNRFKqrZf7a6+OfTk0RTGlomk5aF3iwP8z2ag+SIPCVxyaQBIHXHKgpSS8uG7U+B32zSaZjMs0laE8+HzAJcbE4ceIEp06dyvndvffey+HDh0sqmWhvb1/X+g+GcO9Xv/pVvvnNbxIMBrnhhhv4r//6r1WbKVbC80rgKisrl9XvPNsw59KV5rnsTtilqcy1osbnsNT2++aS7KjxEAwGuXDhAoIgcOTIEcrKytZkC7bWeNhiF+ryvwmCgMfjwePxWDsETdOsKEU4HGZiYsKa2LIJ3VpENzXN6KIdHBykubmZ1tbWFR/Ue3uDRFIqBxp8tFS5KXPZSMmZZUbc+dA7m0RbiFiYsAhcESTjg9c088BAiH0FyIBZELweW7BoNEp7ezuKonDkyBGLyBbSpntmJICiiHi1GMmka5mUzNKuVzMap6oq8wtpHNMW7Fcdc4yEM+yudqKrmpWm8xYZCRucTxFKKpwZiVr1X6Vo2tkKFP8Xi7m4QkrWCLgWz9f04i10zZYiH6HWNI1gOMLffWcAuS/BVUNhXl593lrYTSkKUycsu5vWxMB8ipFQinq/gzccqiko72DCbK7J14HYPhVHEARee7CG244Uv7jc3RNEFGB3rYfzkwl+cn6W1x2sKUmA9prWck71hZd12BaCSWY3gL9x9bZyvv74FA8PRviTE5q1YUhkVB4eiiCJAq/cXcVQfZqWShfz4fzH2VLp4r6+ED88N4tdEnjv5Q1sX0gpmyTNRD5tulhGR8CPjsDw5Bw7K+04nc51ZyhEUcThcOBwODjc4uVvXR7+z52DzMSM5qnfdge5/Wg9NskQVR6cN5xfGsvXZkNWY2nBvfg6Ud/3vvdx6aWX8ulPf5o/+ZM/4a677uL73/8+X/va16zXfOc73+Ftb3ubpfP2Z3/2Z9xyyy0cP36cTCbDpz71KR5++GF++ctfrukcpqamuOmmm3j88cfZvn0773//+3nrW99qOTKsB897DdxzjQqHxhsuqaW1Ov/EaUaAUqkUl1xyybK6q7WizG3DLgrIqs758Qjq7BCjo6O0tLSwZcuWNdWaeewiNlGgzL22sLe5sBTbnCCKokXSTGQyGYtQTE9P09vbi6ZpeTsuC01s4XCYCxcuIIriqn6uAE+PRfnOE5Pous4t+4xOZUkUFmzBVh8LM+2TvfZYtmBFRPAuaQpwSVPhc5wuQhKlEDRNo7+/n6GhobxENp82XTQW59/6e5AEjczsGK+8c4KMLvCevSInWiutVFB2ZDe7Hm4+qSAIAvXlHhwOO4OhDKPhNNNxhZlExFp0HZKAoiirNkgIGM1CsYxqdfmV4iphcui1EDhd15mNywiCQOWCpp+u69y0p4qu6STNFWtb5MAYqwvBxfvm2kNtXLHVZy3sc3NzgNH5ZpYeCOgo6qIZvSmLcsPOCl65Z/W5RRAAPX/q0XSVOFCCW0YsrTK5YFh/fEsZ5ycTpBWNcxNxrt5WXvRxrtpWRvkDEvV+h0VYV8KiHMrK1/T//maQ8UiaNx+uWxZxNFHpsXOwwcdTY1EeHYpY5/3QYJiMonFZc4Br2xYj9/MD+T+rzmsnljH8f197sC7nPUtRSMLm493dKBqcG5rBFx4oqE23HhzY5OOvr2vm7349QCxjlOBcmIizv8HH1goXg/MpBoOpNRM4sw7xxdjIcODAAX74wx/ygQ98gA984APU19fzL//yL7zhDW+wXqOqKul02qqJe/vb387f/d3fcf/996PrOvv37+fOO+/k+uuvX9M5mM2In/zkJ7nqqqs25HuZ+J0jcJUOjesuqVsWPs1uIGhsbOTIkSMb2kxR7raztcpN/2yCU2f7adguLvPsLBVbKtwEXDH21a/tGG+9bBO3H61fs/0SGBNbTU2NJflidlyaBtYDAwNEo1EcDkcOoQsEAgiCYKUIW1tb2bJlS1GRu88+MErvXJJtVW6ONC2KgkJxht9mNONoFgm7bnsFe+q9BWVMSoG5k60psaszFArR3t5eNJEFI1IUVmzogsjWag+Xn9xJ+vHH0XTw+PxEo1FLm87r9S6LlAqCYPmg1vocSJJIUjbqo1qqvUa34cId4rCJBRskskmdSTpiKcUicC0lROCkhXtgLfVSCVkjKatUeuxWd6cgCFy/o5Lrd5R8uGX4yflZdEDEkLzJXtgzmQwPPvggR44csTTKNFUhkdF56KGH8AcC3NVpZAGu2FKaIHZGyR0LWdXomk4giQK7SvDL9DklvvK6XYxHUnzi1CiaDpqqc2YkUhKBc9okfv7HB4p+vZVCXeGSTkYz3NsXQlZ1ftY+V5DAgWHc/tRYlHt7Q9Z537MgzXLd9sLvy8auWi9OScQmCbylgJZfIZgSNle1lBNKK/z+0Xr213vyatN5vd6c5hivt3QdwsuaA7z/ino+es8Yqg6feXCML71upxHZ7oOB+SRXFCGonA81z7Mbw7ONm266iZtuuqngRuNNb3oTt956q1WneMkll/Czn/1sw5pFWlpauOOOO9Z9nHz4nSNw+WA2EGiaxqWXXpq37iqczPChn/Uyn5D57u0HSr6wdlTevl3lI7Mq04qLSy89sGbdLhPmAreee0wQhDWnYAsdz+y4NEPES7XpOvpHmIorNHkMI+mWlhZqamqKGtNQUqZ3NoEAvOGSxZoft13CJq5uCxZNKVa07Zq2cuv3L99RubYvnAfTJaZQVVVdE5E1sSiJYtR72UWBjKqzvbmBvQvRGVNKIxwOMzk5SXd3NwA96QCjYaMLLpJIUen38Jk/2E7/XIqDDX6uaC3n1V95hlBSxWmXcDiWN0gsJXXTUcMLdiKSwSYZNVKlSFXYCnQsFoON1LSbi8vc1ROk2mvnZdsr6JtN0jmdsBwvCokee71e/H4/DQ0NeB9vJ5FR2bOnhccH5wmlotQ6VQbOnmbG58upqVppYVe13FRl72ySjKqxs9aT16ZpJdgkgeYKN7cdruP8RJyMqnN6ePUGMt2ab0qfMaQiInB3nJmwoq5bVokmHd8SwG2XeGY8xnxCJq1otE/F8btsHG1cfeMDUOu3U+21E0lmGAun11T/9X9vbMn5dz5tuuxauu7ubkuPrlQJm6taAlxW2c/5mIfbjhjNRIX07EpBzYtczNdEoTlVFMW8or3PdrPeRuB3msBlNxC0tLSwbdu2ghdZ1wWeHDUmuc7pOLvriot6me4B7e3t+Hw+6ss9BJMq80mFau/6HCY2QpT4uUC2Np0sy3z5v8/RG5T5f1d48bkczM3N8aVHx0mpAq9sdbK1brFAf2nH7y/a58ioOl6HyMuySNfmMifhlEJb9crRiMdHIoAhz9C2BgmF1ZDILLoaFLOwzs3N0d7ejsvl4vjx42uyYRuwJFHM5gUBQdNxORY/3+l0Ultba2ki6bpOLBbjqUdG0fQ4iYzGfQ8+TI3PSVlZGdsCAURZJIYbHcEqkF5aSwcs63a1apJklVRSweeU8Nsp2has3G1DFAp3+a6EjSRwwaTCt5+cYv8mHy/bXoHHIbK9xsNTo1Fskmh1264Ek7gEyirojCew2ZK8+kgTJ9sWU68TExPLFnYrSo0RzpSXlMBdyHKVWCsubfKzvdrNhakE09EMszGZ6gKNNz86N8MdZyZ58+G6ZR2PZ4Yj/NsDo/zp5Q1cvrU87/vNKaoQfzs7EeOhgQi6bkTR7as8O06byMmtAe7uCXJ/f5j4Qp3m1a1lRbtKnBmJEk7KRNI67/thDz9++76i5tIH+kOMhtNc11axqgzK0ufOlHAyr322Nl32tS8kYXPTphQfv/q49TyaG6OBdRC46ZhMUtaYjLy4CdyLEb+zBC4YDHL+/HkkSeLEiRP4/SunNNwOCXFB++iu7vmiCFwqlbK043bs2MGmTZvYGxrhwYEQHVMJrmxdH4HTNiAC91xienqaX5/p4ukZNzoSYXcDh7cbJOz9jzyOqsOVO8tJp9P09vZaE1t22u/RwRBgaI1l16sVG400xU+9DulZIb7FdqDKskx3dzdTU1Ns376dxsbGNe/4looSm4ukY4WuNEEQ8Pv9JAUnEMcmibzq5VdbTSqmNt1IVEWW/dgEAVFN52jTmVhK6rwLUdDUQtpv60LdWT5bMFEUl+kxffTG1jWNA2wsgXNmyaEAbAo4aaty88xYDJsoFGU7Zr4kIas8PBhBXHCVcLnsuFyuvAt7OBymt7eXRCKBrpcDAjPz84TDDvx+P6Iocn6VrtpiIAgC7z7ZwP/4US+qDnd2zfPmI/llYszrvTStPRuT+ehdQ8wlFD76m2F+9a7y/OOwgoyIqul85fQEKUXDLoEkiGhF9EZc01bO3T1B7umZJ54x3lCKq4QkCiy8jYyqE8+o+Ivo6D/VF+bMSIS99d6SdexMCadsCZtsTchgMMjQ0FBeCZvs8zZR4bZT7rYxF5eJppWizn8p7uycJylrDAZTfPBnffzLq7aVfIyX8Pzgd5LAdXV1MTk5SVtbW9HpKockWOKVq71a13VGR0fp6uqioqIix7Nzd52HBwdCdE7FV6zxKAaWFdZFzuDS6TRdXV3Mz89zfG8b3xieISmrfPaBETYFnOzKkgHZVFPN3pZywCA5S7XpXl2m0GLz01LtYmpy0tKmszpqV2mlv/VgHbcerCso4rheRFIqDklYsYFhenqajo4O/H4/J06cKMnNIx8G53NFiU1i7yiioWM8bBBOn1PKK6VxX/cMjrFRDtdK3LwpzqOPPprTzGIuMNkpoH/8/W3Ims5D/UG+dHqS1mpv3tSrpmlkMhnS6bQlcLpeW7C5VUSJS4HDEiReZBMmWZZEwSJ4K8G8H88MR0jKKoc2+/J2e+Zb2GVZRuy6AKpONJbg7NmzKIqCx+fn7JgNXRfY4hfWVatzyWY/1V47M3GZH1+YLUjgTMFqJSuvnZI1Pnr3EOGUQcxX9jM1/psvLf7b7iD9cynSiqFnJ9p0lCIY3L56L9VeO72zKURRYFuVq6Ray331XhySQFJe8HVNFkfgzFtzo6aQlTQhsyVsJMmwgBsYGMjRptta6eLpsRiD86kcWZVisaPWzb29QVQdIiWKZr+E5xe/UwRudtYwb47H45w8ebKkdJUgCNglEUXT2FVb+H2aptHV1UUqlcrr2blz4b1zifUXjD6fEbi+2QQNZc4Vlbt1XbfSQ5WVlZw4cQKn08m+TQnOjsdIKjr/584BPn3Ldus92VG1Qtp0e/No04XCPhRFIBoOIXurVpV9ebbqGw40+Pjvt+4ns9Q/iVwia0Zkl56Hruu84otPYxMFfvmuQ6t+XjytMhOTCbgWRYkDLhsZRaOiiO5kk/BUupdPBYIgEM4ISJLEjsZaLju6KUdKxqzrSSQSOVIygUCACr+fvZsCvPGwzt46b97U69TUFJ2dnfh8Pqu7L1+UrhRbsI2NwJl6dsa1VDWdoWAKu2T4gXqKUK1PL4jm9s6mEAShpEYBu91Ovd/BbFzm0M4mrmirIJlMcnZ4jrQ6xyaXyrknz1jajCuJzq6Etx2t40unJ3h1AesoWGwOypZE0XQdt100PJKBSzYXJg/ZpCcpq/zw3CyyqpNWVE71hUnIKqIAim5Ebp/KcpwoeExB4Jq2cr52ZhJRE7iurTRPVadNZFeth9PDURRNJ5RSaGT1Ts5CHrcbhUISNrOzs5bF4sTEBKlUCo/Hg1fxoGk6neMh9tZ5St787KzxWGOfLFIW5iVcHPidIHCZTIbOzk6mpqYAo8tkLW4KLrtIStEYjyxXH9c0jeHhYdLpNLIsU1FRQSKRYH5+nrKyMqujdVu1m2/+0V7KihRFXQna81QD9+qvPMN0TOb3dlXy96/In+5KJpN0dHQQjUbZs2dPjh/dn1/VRLnbxn8+NgHkdms6Vph8VtKm+9b4IHpCpr+vl7HucxuiTbdWCEJudMYksl1dXVRVVVlENhsDc0nq/A5EIb/mVyEMBo3o25aKRYcAAfA4pKIicJGF6ElDWf7IxVJJlEJSMmakdGZmxpKS8fv9HCkro0yCZNJmadNlE9mdO3dSX1+PIAg52nSm2HCptmAzqxC4j/xmgPmEwlsuredI48plE+Y1ND1dJ6MZMorROPAPv9ey0lstGELGOlduK+M1B2tKruv79h/tyfm3x+NhUklgkyRO7KjjqksPEovFcurpzIV9aedjofv/5n013Lwgx1MI+VwlPA6Jw5t9PDYURhRXdpXITqHKqs73np62/qbrOjZBIJ117HwboHw43hzgS49OIApw+Rq6ME9uLeP0cBRV0wkli9tUW/V8JX/acsiqxngkY4lvF4IZoRUEgb179wKLz92gOoc6muDxnjFqor34/f6ca7+aNt32Grchnq3p1r3+El4YeFETuOwGgrKyMk6cOMGDDz645uiLyyYByjICF4vFOH/+PKlUyhL9zW4lzyfhoDt9644CmWnANQpwrxlmOqV3JrnMPNtMH/f09FBXV8f+/fuXRQO2Lvhh/tmVTUiCGd0UyCh60QXIJkxCYXM4sdvh2GUHKHOwbm26jUI2kd27d+8yY2UwFsV/vHuQSFLh/5ZY/3V/XwhF1Wle6NpTNcNL0VWk60FSMQhca1X+NK4lSrxCRKuQRpZ5DQYHB4nFYtjthtBpPB6nrKyMyy67DI9nMe1mEoxvPTmF2y7xyj1VOCVhVVswM+0qCMJiBC5PmlLVdO7rCyOrOjtqwqsSOCuFurComZ1+qy222ZA1HR1IZtSSo4K6rhPLqPgcUq4tWFb9myRJKxJq8/7Xdd3SpjOjdPk67wrBInBLXCVO9YXREXBIApsChcsGFi3BdDx2iXcc24RdMuoIbaJAx1Sc7z0zg7bgBVqsXt9gMIUkCojAcDBV8hhf1uy3apuHgykogpdnf5f1IJJSeM8PepBE+Mrrd+X1VV4J5nN3XPTxna4eZI+fo0c3WWR+cHCQeDy+qjad32mj3G1jMmo0M7yEFw5etAQulUrR3t5OMBhk9+7dbNq0ad2uD7fsr+XrZ8aZXYhKqKrKwMAA/f39bN68mUsuucR6MLKlSApJOGQTilInVHj+InBN5S4mIhlqffYc8haPx2lvbyedTnPw4MFVveayJyybKCALOrYSJRFMmOu5JAg4HPa82nTmNejv7ycWi+FwOHIsqZaK3a4HpptHb29vQSJr4rHhCJORDFsrXfgXGgCKvaI/uzBLJK3QsOAzKpuCxEUuBqYDxb5NhVwlVvd1XQpTI8vr9VpSMqZAdjweN5onkkkeeughfAtSGuZz4PJ4+dG5GTQNbtlXXbDr1fzJjtLpus5sLIMggM8BGVnhP89MMZ9U+F8v20LndMKKIG3yF5EqE42yCbMGbihYuqadeRWKdSzIRjStctu3O9hc5uTfX2OI2Gm6brlK7KnLX3O2EqE2F/ZYLIbN7uDOGR+XN3s51lJJeXl5QUHxfGlD01VCEIzntyFQeEw7puLMJRSeHI1ikwRu3psrYnx2PIbbLuJzSvzfV7Sws0htu3t6QjglER2Nzz88zmsP1nDDzuIlgRrLnDglgaSi0zGdKOo95qO13gxqwGVjU8BB90yCp8diXNpUmjagicYyJzZJYDiYxun2sMnrtTIUpoST+WNq0/mWSNhsqXAxGZVJvUTgXlB40RE4XdcZGxujs7OTmpoarrzySqvA+suPjvPAkJcdoRSttaV3gL56fw3fe3qSmZhMKBTiwoULaJrG4cOHKS8vLxjNKSThYBKKvr4+YrGY1UqeTepWcmjQnqcIXHOFizMjEYZCRiRS0zSGhobo7++nsbGRtra20p0lrIaMtZ2TORb5mhiytenMAvGl2nQjIyPWxJYdpVuL6GapRPZH5wyz5Vv2Gyk2U2dsNWQUjUhaQdfBbTfeoCyQjWIcJQD+4cZWzk/GONSQf/EwU6g1Jfi6ZiObyNbX13P48GGLyObb2MylBeJJP40Bifm52bxSMqIo5qQDTfIWTspkVJ1Kjw1JAF3XuKsniM8hEk2meHgghK4bpGo1vUAToYVjBhPymiJwCyoga0pNmdFEf9a5DgfTxNIqWypcBIosw8hHqBVF4a6OKU49M82p8Rj/mJhCVWVLdFZRFBRFsRokFt0xFo9ruUrsqOBgg7+oMZULsJ4LUwlsosC/vGobzSukYrMxEUnTPhWn0mMjklLomknw2+5gSQROEAQ2BZz0z6fomy1OiqNYV4licM22crpnEtzXF1ozgbNJAo1lpqVWmqas8cuWcDKRT5vOnXQCLjKKxszMTNHadC/h+cWLisAlEgkuXLhALBbjwIEDy9JV33h8Elmzc19fiNba4sQes1HutuGQBCbCCR45/RgtW1b37MwHU8LB7/fT2NgI5LaSmxIOsiwvIxTZEg5XbaugpdL9nBsQNwQcCIKxuA1NzTMx0I2maRw5ciRHxLIUOO0iiq6XLEpqwkjHCEURH8g/sZmdX+FwmPHxcTo7OxFFcVnqtdDEthYi+5VHxzg3EaPaa+Pq1nLDBUEoLqo6Gc2gaQb3dS4U1JsRtWJT0ddtr+S67fkXvJSsEk2rBFwSriIK9pcim8geOnTI6rIzkW9j89v2SaThCerc8OMzvdzRa8clwb9e5bTG3+/354yrSebC6QyCIFDrd+JwOJiPZ5iKyUwLhr/qI0MRy0VBVdWibMFAQEcnkVEZWEcELq2UvtjP5annK3NLvPN4A4617nQWYLPZ+M2AUT9pFwWuuuoKUqmUFamZn58nlUpx//33EwgEmE65ja5hxehSVDWd+/vDALzxkrpV5yAz2p5vFObiMhORNJUeO01lxdcm98+lcNhErmot46mxGOGpBO1TcdKKVtI88rLt5aQ657mytbgaOsvjdgOK4K5sLeOrZyY4PRQhnlGL9hteipZKt2GpNZ/KIXD5kE+bTuqZ5r7fThhe3X19JBKJnIBCIBAoqE33Ep4/vCgInK7rDA0N0dPTQ0NDQ04qMxt2SUDWoHsmuabPmJ+fx6WliKkCW3cfZPvmjfFJhZVbycPhMKOjo3R0dOQUkbcEAhyqL3/Od0pbq9xs8jsJxtP84pFzvGJ/Iy0tLetqEqjy2hEFYc3yD/9+6641f7YJl8swga+rM6QUNE2zIqWRSISenh7i8Thut3tZpDQWi9He3l4SkR0Pp/nmE1PImsbbjtZjk0TkEhoYOqZi6Bgk4dCCKbrLLvK2yzateSHIRqmOEibWGpEVBIGppEGuj7RtQgf03mFkHfx+P8FgkMHBwYIbm+wGBlEUmU0oCBi1bDFVJJg0Oh3NBbiYBgnTFmwqlmE6msHvtFHpKX7aNIV402tY7fM1ZFS47dy0Z+WIbjGYiKRpX6ilc9uNATHv/9raWpxOJ8FgkJaWFiKRCL39QVRVZXRsnIcfHmNa9zMT1WitdNJYtvr9YfXT5BmG7JRwKdHuy1vKuGSzj+Fgmp+1z6FjWKl1TCU4tEJH7FLcfnQTtx/dVPTrzc3VRkgRBVw2jjT6OT0U4eHBMNev0RFmy0LN4MB8iitLlFEURZFj22rZdzZMc4WT48e3Isuy1W0+Pz/P4OBgXm06t9v9rNcRv4TCeMETuGg0yvnz55FlmSNHjizb5WfDZRdJyGrJtiOyLNPV1cX4+DgN5TWE5zWSRbSbrweFWsmzvfZMCQe3252zmJlin4Xw0/PTfPvJabZWuPjYq9pKPredAY1j5TF+m7AhVDazbVtxHXkrwZwLL6bJwIy+ZYtoLtWmu+vcMJVSGp9NJxAIsHXrVkvzbLXvck/PPBlVw2OXuHHB2FzTdGyiUBQBe2zIcJVw20Urnea2S/zhgeWNEmvB9Brq3yKRiEVkL7300pzi+mJgPptbK13MxDIIgMsm0tJi3GOFNjaSJPHlAR9zcRibjyHLMjtrvXzxtbuIZVTqAy4+cG0z/+fX/YCAZLMX1KbLJnVpxXCC7VwgGVsrXSXdo+ZLM+tIoW6EJMqZ4QjnJ+Oc3FrGzloPv+yYxzwljyP/MpCdKWjRAth7Bqmrr2TnTj93PzKJritskYKcOnXK6nwstLDbVpiP1iNK7HFI7KrzcP2OCn5w1pAmeWQovCKBk1UNWdVx2cU11Q+bX2WjVESubSvn9FCEe3tDayZwLZVGhLRrOsFsXC75nnHYRL7w2p3Wv/NpQubTpluvhM1LWB9esARO0zT6+/vp7+9ny5YtRe3yzTohr0MqaoHVdZ2ZmZkcq6OeZ4J0BueYeh5847Kjb01NTUBux9ns7Cx9fX2WhEM2qTMlHACeGosxFEwZnpUliIAqikJvby/j4+Mc3trMfbNx+kIbI/xo1bBdPPwtL7K16QYnZvmvhwfYWebgA5fXkk6neaJ7hJ8NDFDuhDfuztVGWzqx/fTCLJoOl23xWwKigiAQcNloLCKV1LlQdF0KwSoFxXSgmlBVlf7+foaHh9m6deuaI7KLBM5NJKUgCOSkb1fa2IS6+tDRGJ5LcN9991lSMg1lZYTDEEzIOfVLK9mCmVImZofiwIJYclOZvcjUqwGfUyKSUqwoVynYSFHi85Nxfnx+lk0BJztrPVyy2cdPLsySUjS8jtWvk1maoAsivrIKLgSncNjtvPX6vbgFxUq95lvYy8rKEBfITj7OY9qCrcdV4o2X1PGz9jnSipHa/dOTmwu+9oM/72dgLskXbt3BpiWNFx/6eR9pRefPrtzMtgKd2Su5SqwFlzYa9YMXJuNMRTMluzsA3NsXJJTSeHAgTJXXzl9e3bTqe2RV41tPTuOyibzhkpU3fasFFPJJ2JjXfiUJm5ewPrwgCVw4HObcuXMIgsCxY8eK3uU7bSICsKuIUH06naazs5Pp6Wm2b9/O5s2bEUWRWp+xW5yKXhy+caVIOJhkos5lbL3TqkbPbJIdRXiCzs7O0tHRgdvt5vjx49idLj775Hn6ZpPIqoa92OKzAjB3sxc5fwMMItvT08Pnz8wTU5z0JxyU1TZS6bXTrcxw7pkhbCK8r6qKUCjE+Pg4yWTSKhAvKyvD5/dbEZamLA22Yh0lACo9dkZCaQ42rH3hWwlLNeAKIRgM0t7ejs1m49ixY/h8pavBgyFKPB3L4HNKVHpslhbYakNhbmxSCxGlHQ3lXH31IStaYGrTnZm0o6lOAi6RTDxCMunN2diYx4JFUicu5FAno8ZGZUuFs2DqNft3Jn769v1rGgt4tkSJjXM8tNmHQxIMz9kimg+ydeAey3KVqPI6AAcej8da2FVVtbTpwuEwExMTdMzJgB9dFxgbG7O06aJpjZFQCr/LRtMqBvYroc7v4Npt5fy6K8hYOE08reAt4KqQT5QYDCuxR4ciqDp87+lp/tfLtqz4mYX4m6Lp3NMT5Lq2iqJqUe2SyJUt5fyqc45TfaFlXrPFQBKMZL2mL943q0HTjQaqcrdtVQKXDytpQprPXV9fnyVhc+bMGdxuN1deeeWz5oTzu4YXFIFTVZWenh6Gh4fZtm1bybt8U9cpuoJdiKZpTE5O0tnZmdfqqH5hMZu8SAjcUuTrOFNV1apnCIfDZIJRwIGIUbDqSVdYYrdLiW0mk6G7u5uZmRmLyJqv2Vbtpms6Qd9skl116yMRliTKc91SWyKyiey1B1p45sEJkrLO3/26n3++qQ15YVUQEGhubqa5uRkwxnGpNt3/3qHxSDjAVVVxpqamKCsrQ9WN71/MMHz2NTtXf9E6oGq6YQtWIMJnEtmJiQm2bdtGc3PzulLgizIdRvpNXiBExaa5MguNAq1VbhwOxzIpmQfu7MMdifCW3Q42qdM89FB/zsYmn5TMb959CKdN4oM/7UEQMmyvCxRMvYbDRlF/JpPBZrOV5CCRD88KgVu4P6eiGVKyhigIuIoo+M+WEblvofv0mgKuEtnadGamwDUU5I6hQYAcbbphxY+qSrQGHGTS6ZKllLLxpycbuLM7iKbD98/O8NYCdW35NO3OTsT4/MPjqAtWidduq8j73uz3F+pC/Xn7HP/52AS/6JjjvZdvLmqDfE2bQeDu7Q3x2oM1JT9Hhxv9/OjcDLJWfHBho+RQsrFSQGFwcJA777yTP//zP7dI36c//WmuueYajhw5suaN3+8yXjAEbm5ujvPnz+N0Ojl58uSaLrY5iZnefUuRTCZpb28nFAqxY8cO6uvrl02+bdUe3nJpPduLeCgvFkiSRHl5uVVYHw+E+O5wL5IosLXCmVebLhAIIMsyfX19BAKBHD9XE7vrvIwEU8zEZdbbQrAoSvzcEjhN13l8OMJlW1aO4uYjso3RDF85M428YLH0j3cPsn8hDbT0a+QjFPF4nN1LtOliuJBlN+k0lovH89X59fZjDbztsk15J3iTyHo8Ho4fP54jyGvi8w+N8P1nZthR4+ELr139DjHTlFsWujzLnDYCThv7C2jUZUPRdMunc1ft8rlBEASCKQ1Jkrh0bxtbKlzLpGRGR0dJpVI5hdrl5eU4vF5uPVhLz0yC5grXsiidoih0d3db/so2m61glK5YUqfrOrMJGUkUNsS1ZWkEzkxVN5Y5ONCw+lyaUTXSisZULINTEnHYRI41F9/JXxMwNA49dpFLLtlnLexPPTKGrsepIsLDDz+M0+lcVlNV7P1f5XVwZLOPlKJz+dbC55bPVcLvlKwGF6dNpGkFIeFs4nNhMs7Dg2FkTUdRdTKqzmw8gw6cm4jz7v/u5iuv30lL5cp+xztr3DQEnIxH0nTNJNlVpA6eiYMNXkNLU9OZTxZX1iIIKxPRjUB2QOFjH/sYH/vYx4hEInz/+9/n/e9/P0888QT/8R//weTkJPv27eP48eMcO3aM1772tfj9a5NV+V3CRU/gzAaCiYkJtm/fzpYtW9a8y3/z4Tq6pyLLNJk0TWN0dJTu7u6CVkcmav0OXnsov+HzCwUuu2TsqAUI1G9h905njjbd/Pw8IyMjqKqK3W509E1OTlJeXp4j4fCmw3W87bJNG0K6NP2593TtnIrxju92ouvwH6/bxb48RtCmm0dnZ6fl5mES2fqAk8/+4U7K3BJ//+sBXr2vhu7peFGfnU+bTlEUOkZnEfrG0RWF8+fPb5g23VohCEJOXeJKEVkwxuupsRgHG3wMzKdIyhqjoeKahobml8h0CAI2Schr/r4U8bRi1VftLiBwa3bV1i5o2hWSksluEsre2BwrKyMyLyFkadPNzMzkJbLZ0bml/zVhErl8hC6cUlFUnVqfI286XVY13vKdTur9Dj75qtZVCaEpO2JGKU0Hg1fvq+a1B1dPn42F08QzGn2zSX79roPMxmU8JXQ6N1W4+dU7D1j/Nhf24biIzWbjpuO72FJuz6mpGhkZQZYXtenMzWW2lNJS/GuWr3Ih5BMl3lrhotZrZyYm47KJ1K1QV5rtxDAUTPHz9rllr9FUzdhQ6MU5NgiCwLVt5XzrySnu6w2VTOD8TiMF3T2bIpJSjBrPVeaIZyMCVwwCgQBHjx4F4Jvf/CaBQIDR0VFOnz7N6dOnueOOO3j1q1+9YZ8nyzI//OEPue+++3jlK1/JTTfdtOp7kskkX/va1+jo6KCxsZHbb789r4vO842LmsBNT09z4cIFfD4fl19+ed5dfim4ZLMfm5DrNRmPxy2D4L1791JTU3r4+oUGhyQYnVQ6TEXTbC5zWoQiEokwNzdHTU0N27ZtszqPitWmWys0Xbcm1ucKdX6nIVWB4UW6lMClUik6OzsJhULs2rWLurq6Zd+zZaHQ+V9v2YEkCszHZatzslTYbDb8gTJstinKy71cddWRdWvTbRSyiWx5eXneiCwYkhB//+t+9tV7LU26Ygh+PK3y+EgERdMtqzVl4f2OIuorRxZIokD+mr2UohFJKficEu4VNO2ypTTAIGLZLh69vb3E43HLhi2TydDU1ERra2tO6lUURSYjab7z1BQHG3xct71yWcrVbJbIhknoZqKGSHah9Oljw1FGQmlGQmk0DCuplbA0hWo1ixSpIZnIqOhgyaGUmtZNZFQUTcfvXLQFi2dUBuZTuO0SWytdSKKQQ6h1XSedTufU0nV3d1u+oNlyFqXc/5YocRZxGZhPMRZJI4kCDWWOFWvXBAz3D0XVOdTo439c2YhNNOwA7aKApsO/PjCKLihsqXBSWeRYXb3NIHAPDoR5x7H6kuuKjzYH6J5NIas68YxqNUYVwqIcSkkf86ygsbGRxsZGXvOa12zocU+fPs2tt97K8ePHue+++6irq1uVwCWTSa644gpUVeX1r389v/nNb/jUpz7Fo48+ypYtK9dFPte4KAlcOp2mo6OD2dlZdu3atWyXv1Z4HCKioBNOKSiqyvDQEH19fdTX11sepr8L2Fzm5MSWMp4aizIVNaISiUSCjo4O4vE4+/bts1J9Ho+nJG06c1ItlVA8H5NIwGXDLoKsQnXWjtt08+jp6aG6upqTJ0+u+n3MKInHYWiHFeuEsBRmGtDcHa+kTWfW05nadNnjHwgENqzzqxgia8J0lTjaHODe3qDxXYoo6OufS9A1k8AuCpYorFkDV0wh+LkJI/JpE4W8hHEtlmCwaCJuim7rus74+DhdXV04nU7Ky8uZmJhgeHg4h1SUlZXRO5vhnp4giqpz3fbKZalXMxpndrxm24JNRQ2CVeGWUBSF/vk0/312lh01Hm49WMOp/pBxrAWdutXgsBljkpZNWzCDIG4tUpTY2pCs8Tm9pzfElx4d59YDNdx2qdHs0D4VR9d19tR5CjqorESoI5EI09PTJBIJBtJuhtMeXt7m40BT9YpSSqaosJIVerqvL4SqGZvblSzBwLDvmk+q3NUb5FX7qvMK594arqFzOsEHrm7CZS/uOazzO9hb7+Wp0Sh//Yt+/uKqxlVFebNxzbZyvvXkNJoOcwllVQIHxry1Ud20FyM2b97M448/Tl1dHW1txUlmfeELX7AULioqKvjgBz/I0aNH+fu//3vuuOOOZ/eES8RFReDMHemDDz5IZWUlV155ZcFU5logCAJeSSelatz30GnsuszBgweprKx8QUXdRkNJPvfgGAAfu6l0Hbdyt50TW8s4PxlnMppmaIHIbtq0iYMHDxb0A12pldycUCcmJkgmk5aEQ7aB8kqEQtP1dXeylgpJFAi47MwnZM5PxDixtYxEIkF7ezuJRCKHyBaLxblwbfeTuaYU6kLN1qYzC8Sztenm5ubo7+9HUZRlUjKlim5mE9mamppViexEJM3poQhuu8grdlbRN5vgiZFoUcK33TNJNN0ge2Zqy4zgFUOGb95bRb3fTjyTX2+tFEmUQsgmsnv27LGIbL6NTXt7Ow/Pu5FlJz4txuysYQuWvUnMFgw2YUbmQikz0mVD0zTOjkeNCKWqktpVxlOjUcCIJmmWnHNhTEdlgkmFR4YivFtWmYik8TqkoiNpjoWo5VqXerMhIzsdvhb5kGxCbUKWZb763S4GQzJPTkf44K4xVFW1tOlkWSaTWZRMWppCNV0lJBH+/MpGNq9CmkzilyhwrwH84f5qw/WjxHXl2rZyHhuO8PR4jGfG4yURuJ21Hkv25pmxaFHRVUF4dmvgnm+YTkel4Kc//Sk33nijFQm22Wy8/vWv5+Mf//hGn966cdEQuGQySVdXF4qicOjQIYsgbCQ0TcMj6UTTMoLLz/GDOzbMvPy5xFAwzam+EIJgeF/a1kB86v0ONF3nfP8YO+RMXqujYrBSK3kp2nTvPtn4nNfAgaGxNZ+QOT8ZyyGyhw4dWtO9YVh6iSWp9WdDxLBs8xfp1Qm52nRgEK9kMmkRiuHhYUuba2mktFDU2YzIJhIJ9u/fb3WVFcJIKMVn7h9B03Ru2FmJ1ykhigKCUFwKtH0yBhiLqRntsQhcERE8r9POtdsLOxSYEbiaNWhsrUZkC21s7v9VD2IwTpVd4T0/6mM0IbLdr/HBy7zWNfD5fDkEzvz/+ZSKIAjUl3lwOp2MRWRmEgrDoQw9s0kiC2UgkiiSyciIdmnFBgm3XUTHIB/Z0bdiCb3LtMJa42JvErhsT92rt5Xhc0gcXaMHqImoDBMLMi/bav1ceeUhksmkVUuXTqfp6elhYGCAQCBAIm40mWRk4z3nJuIEEzLbazy8YtfqLhfFFP8LC7IepaK10o2mG56xT45GS3LdEAWBI41+UrJKa1VxxE8UhJxawJcAPT09nDx5Mud3LS0tBINB5ufn17ROPlt43tmLaXbd1dVFZWUlDodjw8mbruuEQiHOnTuHzy4wlYb+sWm8WjxnQTPrWi52mFEEXYe+uSQ7a0uT8NA0jVRwCjmTIaY5OH788IZ2Oq5Fm+5YXVmO48FzhatayxmeT9I1EWFoeJZLLrkkp6i9VARcNnxOiW3Va6vXbKvx8I03713z54OxeHg8HjweD5s2GVIKS6VksrXpsiOlXq+X0dHRoiKy2bire56HB8O47CKv2mtELS1pmCIeqY4ZIxpTk1W0f2izj3ef3Exb9codfMVgLa4SgBWRTSaTRRFZE6IoMh4zul6vu3Q33xvoRCeD5HTjcrksbTpN03IK9M2NzWws1xYsqegIGKn+kahB3gSMFKqmr24LZlqCpRTNqn/bUoKHsnNBiHi9EbiqrAhcS6V71e7MYnBn1zzKApmq9dtz7v/6+noikQiNjY243W4ikQha3zyyovL0M2dRJxz8ctKDpukc3+xC07RVSw+ezeL/ZyZihvmaDk+MRotqRsjGp19dWkZGEgQyefQLL1Y88sgjfO1rX1vxNbfddhuXX375mj8jmUwu64A116ZEIvESgTMRi8U4e/YsyWTS8i996qmnNvQzzBb/0dFRtm7dyk7ZxmhviMZtTTSUazkSDg6Hg/Ly8hwpjYsxQue2S5ilL+cmYiURuHA4bFgdqWC3u4hptmddpqKQNp0ZpTMV3E0Jh+zFLJ82XTb+5896OD8R5y+uauKGInbP2dA0jaurk5xyZZiWHdRsP0BFxfqiAWY9ycUmZ7dUSgZytelGJqb47zMD7PWlkSSRmpoaKisrURSlqGfgN13zAFzaGLCU5D12CbtUnL/tzEItZnb33dZKt9XQsF4s7UBdDaa/cn9//5oisvGMylQ0g9chUeWxU+G2Mx7OUF/usWpxCm1sMoKdn7V7UTWYmg+jNHr5i6uaec3BWjx2keYKN0+NRbmzcx5RFHA4nThswoq2YOFE2vAKzWgMLsi1tBRZ/waUZA6fDxupafeNJyYJJ1XefcKYS+7snEfTDEJbKEWenSmo6QdHKMTuvXtp9KhcaJ9A1zS8oX7uv783R8LE3NjnHMsicBvP4F65u4r/emqa8UiGcMqwfWwt4AihajqxtIogYFnplQoh67s81xJOa0FlZSWHDh1a8TVmJmKtCAQChEKhnN8Fg0HrbxcTnld2YipyHzlyBJvNtmzQ1gNd15mbm+PChQvY7XZLIb5ifgKAlG5j8+YaS8JhqSbUyMjI8y7hUAhmagqMRbIYqKpKX18fIyMjtLS0sHXrVr402E4kpZKU1RU7854NlCrhsDRSauLpsRjRtMpd3fMlEbhwOMyFCxcQBIGjbXXc2ROlezbF7vr1EbhFT9d1HeY5galNV1VVxUOjHfx4TKd+fxlXbKskGo1yx0P9tAc1DlbAy7b5clKv2aR/JppmOJhC1+H2o4vR800BB36njT1FiDwnZCOqdHUBcdj1opQIXCwW48KFCyiKsuaI7HBwURJFEAQcNmHZQltoY9M5Oodyfhgd6BoYwTvXZc1DUlkZMXsZoaSCKCw0bOjLHSSAHBJXZUXtdQbmDAK32W8r2haswm3HLhUn+rsUqqYzn5CxSyIB1/rnmXt7Q8zFZd52WT0OSeD3d1fx7w+PAUJR85gZ4RVEGwNJCQWRS7eU8fvXHSIej1upV5NQL9WmE57FCJzTJnLbkTo+fu8IiqZzf3+oIIGbjGZ4zw+62V7j4ROv2ramz7PIqAbi8yM3WRJ27tzJzp3ProD53r17aW9vz/lde3s7jY2NLxG4bOzYsSOv/cx6kclk6OrqYnJykm3bttHU1GRNThVu4ysHl4gdFiIUF4OEw1KIgtFJpesUFX2bn5+nvb0dh8ORY3VU53MQSSWZimY2LNKxHhQr4eByuayx9ztEommVjulEUb6uqqrS29vL6Ogora2tbNmyBWUwwp09UTqnErx63/q+g9WE8EJgcCzY0p2/wDfO28loAmdjPl7f2IgoCHzkzDmGY2lEl5M/CPgIh8OWlIyZei0rK+Pp+YUFUTAaZEyYMg2r2YIpqkq520Y0rXL1Cgr468FMdHUCp2kaAwMDDA4O0tzcTGtr65qj06YosflcmbZNtlXGQpIkBJfHSlX+/smDbK+w5UhpdHZ2MjDpAyTq3TozszPYqiuWR4pE0Zr36gJGZFMQYDicQRCgqTy/LZgoistq3Vqq3Nz7p4fWMBIQTimomk5twLEhm1/nQk1lRtHwOuw0VThxSCKqrlvdtish20kh21UiW5vRJNSKoljadObGPhFzAhKpVJqJiQkCgcCGSCmZ+L1dlXz+4TEiaY1fdwYLOkqYt5KyDiZpadoV0QjzYsVjjz3GV7/6VT75yU/i9Xp5wxvewDvf+U56enrYvn07oVCIb37zm7zhDW94vk91GZ5XArfRkSxTq2olhfgKj51yt23ViRRWlnCIRCL09PRYEg7ZpC5b7PbZgLiwY9Z1nVBSBvKTL1mW6enpsRTim5qacsa8zu+kZ/biIXBLsVTCAYwJ1Rz/+fl5bEoGEHHqac5d6KC6srygNl0hImsKv3YUKcK7Esy0ysXO35YS2QMzMo8NR3hyLMKXHhnnXScaLDLqsNtpaWkBFrW5sjc2rkiED+0SGVX8JGZGmMkYz4FqSaKsPBg2SeIX7zz0rH1XXdfxOCQCql4wAmRGZEVR5OjRo+veaVs6awtpSnMsipl3JiIG2RSA5goXLpctZ2OTkhU+1XeOWg/81WEH40P99LTnbmyWzkP7G/w88ueXMh3N8I7vdlAfcFLh9+TVppNlmXA4bBT6ZzKWNt1abcFmYhuXPoUsSRRTlHhhrG2iUFTDjLm5iqQUnhqL4bSJHNuSP/Jus9mWadN9bayTsVQKHSxJmfVq02XDLom89mAtX3lskrFwmrSi4rQtv2/Ne6kYoeBCMG/HF2sj6tzcHH/zN38DGKLbP//5z5mcnGTHjh385V/+JQDd3d188Ytf5KMf/Sher5c3velN/OIXv+DkyZNcd911nDlzhtraWv72b//2+fwqeXHxFXitEalUio6ODubm5ti+fTsNDQ15J5srW8u5srV8TZ+RLeFgIlvCYX5+noGBgQ2RcFgJkmg8eCrLI4kmTIV4r9e7zM/VxPU7Kznc6LfEaF8IsNlsOR2XTSM9jAyGqQ24cNqlvNp0Xq+X2dlZpqen8xLZaq+DGq8dj0MinlHxlqAwvxSLhfvPPYMbD6eYjsocalw5DZxNZI8fP47X6+VkZJrO6QS6Dj9vn6WpwmmR0ew1MVubq5A23dTUFIlEgr6ID1m2Ew4FCYedq0rJPFsQBIHPvWZn3ghtvohsvnN83dfOMR3L8J6TjbzuktWdWIYsAmc8W80VLkbDaQ4WYVs1spB+lUTy2mjNJ1REUWRTuYu9e410UjHzUCAQwGN38oFrmq1ruzT1GgwG6ejoQBAEdu3aZUXjVmqQWO2aziU2lsAtFSUeCqaRREOofcsKFlgmwimZtKLRO5ekzGVj3yZv0SUkgiCwv8HPVFzhkiY/R45sLahNZxJqc3O/tON4JfzRkTp+3TnPldvKCq4bUh49u1JhzlMv1k5Uh8Nh1cxl186ZEVaAY8eO8fnPf97a0IuiyHe+8x0eeeQROjs7ecc73sF11113UdbDX3xnVCI0TbPSCispxD9beDYkHFZDucvGzXurubNrnvASApfJZOjs7GRubo6dO3eyadOmghPA4VUW+hcCylw2BCCmiFZtRLY23dTUFP39/YARUTUbJgKBQA6h+OLrdm2IDp3+PEXg/vrnvZzqC+F3SvzkHQfyLkgrRWRfsauSV+yqpHc2yXefmuKKlnK+9Mg4sLpZyZl+AAB890lEQVQQbyFtuv6HhxFmQiTjMZ566ikURVnWcbmRG5vVsPRz5ubm6OjowOl0WkQ2G5ORNOGUws5aL7NxmbRi+JOuBl3XrUYBk1CIgoBNFCgvwhbMrFErRCqser4sSZR881AqlSIUClm2VJFIBJvNZo3/7KxmadOtRGTz2YFlN0gAK0bpFjtQ8y8333pikp9emOPk1gB/flXTquOTz9fVIYn8xVWNRdU4dk4niWU0JiIZvvy6nSTl0sp4/seVjfyPKxf1xQpp05m1dCahztamM69BtpRSNuySyHffsnI3uhlJXA/3siJwaz/ERQ2/38+73/3uFV+zfft2tm9fbsF24sQJTpw48Wyd2obgBU3gzBb/SCSyqkL8c4WVJBwikQihUChHwmFpx2UxOzSbJLKj1sPdPUFCCwRO13UmJyfp6uqioqKCkydPbqgI8sWKfDWNoijidrsZGhoiFouxd+9eqqqqrAk1W8JhJW26teD5qoFrLjeutazqRFLLm1Kmp6fp6OjA7/fnjciaqu2XbPZzqMHo/K3x2ZmKZqwxLgV2ux2n24PNFmPrls1cvafqWd/YFAtZlunu7mZqaipvRNbE956Z5rdd8/zJic0WMXcWISr8yGCYYFJhc5kD18J1UBbITjGaduMRQ6ctUEBJf7Eho/A4ZWvTmfNQ9sbGrKdLJpM4nU4URcHhcFji1Uu16e7snKNrOsGNu6vYXrOYes12kcgXpRMEwdLgKxSBu7snxFgkwwMD4eIInLRI4JKyymQ0g8chFS3SHM8YDTPRlIokCvhK0FwEo3nAbTMaMgrNFYU29tk+rx0dHRahXovywUZE4HTdKPtQVA14AXQxvIQcvCAJnKZpjIyM0N3dTW1tLSdOnHjOGwlKQbaEQ3NzM5Ar4TA9PZ2jCbWUUORDxUKxeDApW+njSCTC7t27rdTW7wJ+b1cV9/QGScka8bSKxyFanolLiWxNTY3lrFCMNt1apGSs1NRzvI/YUetFAERBz4l0lBKRNWH+3WkzbMHcRVoBLcVimq44bbqxsTFSqVROg4SZAt+o1OtqRNZEKClzb08QSRA4sbXMIubFuEL8smNuIRWfdR1KcJWYSxibkSpf/vtu0VWidFuwbNFtWZbp6OhgZmaGiooKdF03JIaWzEOBQIAzIxFOD0U4vrXMOhYUtgXLjtbNLhC4cpeIqqr89MIcDw9F+ONjDWyrcjO2QFgr3UW6QkgLhEjWGA6m0XWdrRXFb7zymdmXgk+dGqFrOsG/3bK9aCuypdp0YIxVdk31xMQEqVQqx8UmEAgUvP/NOWY96c/eOcMBZSKSoazI8X8JFw9ecAQuFotx/vx5UqmUJaz5fEfd1gJTwiGbUGR3XJradE6nM2ciLSsrMwjhQlRkfC7Cww/3UVdXx8mTJ19wfq4/eGaaO7vmOL6ljLcfa1j9DUvQVuOhtcpN13SCodkIqakBotHoqkR2NW060xLJ1KYzx7+8vHxFKRlzLn2u78karx2bJKDqRkppW7V7/RFZ87ussTvNXFgKRSPzadOZDRKRSISpqSm6u7vRdb3ojU0hpNNpurq6iiayv+yYQ9F0rm2roMprND7NxOSiSEbfwqKYPWyKReBWJ6Jfff1unh6LsqmAJ2e+FGqpyCayJ0+etIjs0o3NwMAAsViMc4N+ZEXCFp9hfl5ZtrFZyRZsLmFEvKq9NlRV5Z7eIBNRmd6ZKNFUxiK33iIjYb1zKYIplcdHomxbEHkulkgZ52j8V1lj5f5GadpJkpTXxSa7lq63t9e6/z0ej9VE5HQ6LY/gjdCjSyjquo/xEp57vGAInKqqDAwM0N/fT0NDA4cOHXrBkZWVkN3CbmrTKYpihdzNtJOpTZcUPWQyGabDGgeuOVC0QvzFhp+3z9I5nSCYUNZE4MCQQ2mfiHLqzDmu2l7F/v3713RvbIQ23Y4aD39xdROb/M9t+rpsobNa0XTOjoaIjHQSjUbZs2eP1b24lmM6JDHH/qgU+JwStT4HnhKaQpxOJ7W1tdY5F7OxyadNZ0LXdSsiW1lZWRSRvbNzju89NY2u69yyf9ELVxDAVoQOmpkydGaRNVktPoVa7rFzzfbCau8zJYoSZ2M1IptvYxNNZvh0/wW8DhDTUW7+5jyqDu/dpXC4qbBGpknm5pKG1lxDhQ+nQzRsweIyaRVOD0et9LRdNKKC2enXfJEncwyzXSVKIXBm9+ZaIleKphNMKLjsIl7HxjfkFNrYm7V0AA899BBOpxOv34+qaqRlAVVV16V88BJ/e2Hioidwuq4TiUQ4f/48qqpawpovxKhbqbDZbFRWVuZYdyQSCfr6+pgfn0TXy4jJcO7cueddm26tqPE66CRBMLl6cXg+xONx5PA0igq+uib27m3Z0PNbizbdkZoy/P7nrpEGDE/XSzb7eWo0wqnzg+w8XLZmImtiU8CJzynRtkZbsDcerueNh9dni7fSxiYcDhMKhSxtOtPFw3RTEUWRzs7SiKyu63z50XFm4hmONgcsEVVzqV+Nf6mabhXFX9Gy2K3+piP1hJJKjpn7WmFG4EpJoa6FyJoYi8iIosj2Oi+HDrWhnXocgLYtm7FLaUsjUxCEZdkC0WYnmJBxSILl7ysIAiLQUuXlwlTKilqbqfpC2nTmfzVdB92oe51ZiIaVYgu2mHos+i0WQgkFTdep8myMpt1qyL7/KyoqmJmZ4corryQajRIKhdD1EKl0mvvvvz/HFq9YbTrzr8paBuMlPO+4qAmcoij09vYyPDxMc3MzLS0tF2Ur73OFaDTKhQsX0DSNy48d5T8nRsgoGocu2UUsGrHq6UxtuuzJ1FzQLjZUeIxJPa3oTMcyRXtVappmWR1tLq/DMasQ15/9iGw+bbrVJBzMxWylCXU8nOJ9P+gmrWj87J0HS5YhEZU0r6gKcW4MgoKPvXvX56cKz18932pYurFZqk13umuUyXCCNq+M0+m0okyZTGbVjc1IKM1kNIMoCLwxSy7E75CIplQqVrEsGg8vEpLLWxcjuZc2bYyCu6rpzMbkhY7W4ubCZDJJR0fHmiOyA0uiXHZJQFZ1GutraSw3fldoY3M67GUm5sBjFxifmae+qpyvvn43oZRMvd/Joc1+Hh4MEc9o2CQJl8uVV5tOVRdDRMGkgg5MRdLEMgbxKEY+xIRtYR5U15B63EhLsJFQih+em2VLhYtb9hWfQcnWpnM6zht1mif2WnNQtjZdtoPEStp08otURuTFjouSDem6zvz8PBcuXECSJC699NKcOoHfNZjp46GhIbZs2UJrayuiKFLunmAqmgGHh6amshwJB/Nhnpubo7+//1nXplsrvE5DBsTnlIoWpIxEIlax9ZEjR6iOS/x3X78xFs8DCkk4ZNfStbe350g4mD9mhEwSBCYWzr97OsGuIuynIJfINm/eTH2ZSjCpMB+XqVznIvN81fOVimxtOp/Px8ceCTMS8/C5G+vw2EXC4TB//Yt+ErLGm7epbKnJFbvN3th896lJFE2n0m3jaPMi6ar2OYikVTaXrxzpeaA/BBhpumI3I6UglFRQdZ16v2NVkq/rOqOjo/T09FBXV7fmiOyid6oRjRQE4yfbH7XQxubxu/vRiZJUdC6cO0eHvjgPhTNlpEQ3oiAgCcJilHOVBgmzEzieUYlnNOr8dmxoKIpelDZdc7mTgfkUm8tKL3OY3UBNu2ha5Z6eIEca/SURuGxIooCq6XkzBbFYzCrBMbXpTNF5cx4yTbXNGs2X8MLCRUfgzE6osbExWltbaW5uftbN1i9mhEIh2tvbEUWRyy67LEdrqNxtYyqaIZxSqMhKzTwf2nRrhc8hIQjgsYvUFyjaNlGIyCZFo4vt+SJwS5Et4WB2nBWScDA7zmxuvzmXck9vsCgCt5TIlpeXs2dskIcGwnRMx7m8pXxd30O/SCNw+WAS2V89M0RXyJBBGcx4eUVrNU1NTXTe8ziaLlG+qQmPI83s7Ky1scmWcBgPG9Emj0PKad1YdJVY+Tw8Dokyl7RhorVLUaynazwep729nXQ6zcGDB9dl8L20zswMXDlW6ai12+0EMwaRcttErr/u6px5aGRkhHOTcWTZi9cm4tUSzM7O5mxsYHmDRJnbjkAaXTc+f2vFYhQwnzbdUvztDVtZq6b+apIopSBbDmWtkASBzEKUcmn9YSHR+WxtOl0zxGtHxseZDGQ2RErpJTx3uGgInK7rBINBMpkMMzMz7N69m9ra2t9Z8mamj8fGxti2bRvNzc3LdpWby5wkZW3V3dNaJBzWoh6+FpiFwKuJaYZCISsiu5TI1njtCAJMx+Si/FCfDyyVcIBcKZm54CwiOioQn52gqyteUJsum8hu3bqVlpYW6xrtrPXy0ECYzqnEugnc8+kqUQqyieyrTuznx5PDJDIq//7gGFVeB5c2BSzSUVNVwbYF/2Cz4zK7SeiV/ij7Wh00V8PAwID1LCy6Uqw8Frfsr+WW/WtrGikGsqrTVO6kqTz/Zic7ItvY2EhbW9u65tBsUeJmkygV6XELxjMJEHDb8s5Doc5ZXJMjXNnk5MZGlc7OzpyNTT6NzP/v1l0AfPepKb75xCTbarw5qddsbbpYLEYqlUJV1aIaJFaDKfGyIQTOcpRYe/TL7JNRdVjNBjbfxl48/zSaZjQxZGvTZZfelCql9BKeO1wUVyWdTtPZ2cnU1BQ1NTUIgkBfXx8XLlywCpOzH+SLcYHeSMzNzdHe3o7L5cqrEG/i/Vc3r/kzCkk4mIvZ9PQ0PT09GyLhsBJsoogAZFSNjKLhWNLlVwyRtUki/+PKJgIuG5oORUhtXRTI7jjbpuvYTz+Frmrs2FyJpqXzatNJksTw8DB2u30ZkQXYXevB55TYCM79fNXAaZrGTy/Mck1bBeUryHaoqkp/fz/Dw8M5RHZP/Ry9M0lkTedjdw/x76/Zab0n2+w8u+NytY1NMFyGLItMTU7gqqvcUG26UnCgwce/LxCYpcgXkV32moTMK79yFrsocM97D6/6eTMxmYSsUR9w4LZL6LqO3ynhtIlF2U+ZzUmFOmZnEwqiKNLWUM3+BeJbrEbmla1lVPvsbFtoNMlOvWqaxuDgIAMDAzQ0NFhd+is1SJg/K2Eja+DMezGzjghcUtYsDcyyEgW3BUFgZ42HuYTMpTu3cKjRv0ybbnx83NrYZxO65+v+fwm5eF4JnK7rnDlzhmg0ukyPCEqXcHihw1SIn56eZvv27WzevPk5JatOp7NkbbqVJByKwct3VPLz9lmmYxlCKSUnNTQ7O0tHRwdut3tFImse54UMQRBwSAIZFdI2L7t3twKL2nTBYJCxsTGSSSMaIkkSIyMjyyQcdtR6+PYf7d2Q+8aqgVv3kUrDy7/wNElZ44nRKP9w47a8rwkGg1Zd4VIi+/c3tBBwSdxxZpJyly1HL822yrgU2th867+7EGSZudkZpof7rI2N2fG60RubUlCIyGbj8ZEIzeUuZE1F0fSiJTSW1r8pmo4kCrjtYlERONP1oKlA7eB0dLmrxEpSGqFQiIEBQ+vR4XBQXV6Obgswz6LodjaRXVo/nc8WLLtBAoq0BbtIUqjzCRlFg2hKLpnAAXzxtTtz/p1Pm87c2JvajL29vQCWLZi5BrxY1uEXEp43Ajc6OsqJEyeIRCJ861vfyltguxYJB7Mw+YWWep2amqKzs5NAIPCc+7kWwmoSDuFw2JJwyKeeXwyJKHPb2BRwMhuXCSUNApfJZOju7mZmZuZ5IbLPF5w2kVhGZTKatn4nSRKqqjI2Nobb7ebw4cOIopij3p4t4ZC9uVnvhLropPDcjn2Z20ZSzhBOKstS4sVEZM160Hdk6QqanZPFkI6lcDqdiJINm03n8CV78TmkZ31jUyxWIrImUrLKJ+4dJiVrfPj6LSUd/9edc6QVzUrZmqK7tiLD3GnFeP2u2vybL1MGZKWavux5qJDo9sjICOl0GrvdjizLVFdXs23btmXjIYoiH7t7EL/Txh8fb8DlEHO8XVeyBRNFkbn4BtbAbUAK1VT/yKzhGIqmMzifonpBqLoQCm3szfHv7+8nHo/jdDpzCN0LcR1+oeF5IXB33HEH73//+6mpqaG2tpbXvva1OJ1Ojhw5wqWXXsrRo0c5evToMpeF/7+9+45vqtz/AP45SZruvWnpHnRBFy1lqiCCA0RA9LpQHIiC8yqicGWpIG5wXMEfoMj1Kg4uKqBshQ42HXTRSfdKurPO749yDkmTtmlpm6T9vl8vX/eSNumTtDn5Puvz6NrppFAo+A+zuro6FBYW8plQ6hdTfTJxDIGbPq6vr0doaCg8PDyMsp2cniIcuEwobhGtPtl09teiGepb5EZZyA6WR8Z64svkq6hu7PhQ666QtbCw4E+aGKiODWugNXBeduaolMpgJdZchK4+IpuUlAQrK/3z6QQMA4bp+/pI7oNScO3DvDfZdANxHdKnkOUcyq1Hs0yJWG/b6ztH9WgCy7I4fkWCVrmSz1nj1tuK9ThRAri++SPGy0bn1/lMu17u2O0cul1fX4/09HQwDAMXFxe0trYiLS1N6zoktrLF3wUSWImFWDKh43cnEAh0niDR+X/bZHLUtShgaSaAmFGhVabChiOlaJap8O5dukeKuyMWMR3rMGXKPq/dZZiO92lLH0bxaprkeGlvHnwcLfDJHO3D3Lv+mdoFtUKh4JceNDQ0oLi4WKNjb2dnB6VSCU9PTyrq+pFBCriCggLs3LkTd911F1iWhUwmw/nz55GSkoKUlBT89NNPyM3Nhb+/P8aOHcsXdWPGjIFYrBmgKBKJeoxwyMrK0lhE3jnCwRBYlkVZWRlycnLg4uKC8ePHm0z4rjr1CAf1goJbRyGRSFBZWclvYe9cUAgEAjhYicCyLC5m56NVLDWJQlaXV/bmoqi+De/NDoK3g+4zNrszOdAB29PKUdkk61Uh25dsOu6i2l1BoTTQGriRDuY4d7URBbUdux/7Y0SWBXesV9/axG9i6OL+ujo23BKQhoYGXL16VeM6pFFU9PJ935tCVqli8XN6NQDg7ihXOFubgQEg1uOXKm1XolWuxLXcXADXD07X50QJANj/5BhcKGvSeVKCir2eaeeoZ6ZdZ1whW1ZWxhey3N9G545Nbm4ucmvaIJPZwttSgMKiIjjoGCntHGPCPVbdtTNbnbkd/yoV0oobYWshRGtrK8zMzHq1QULAMJC2q9DQpoRMycK8p10I3ZAp+pBpdy0SxbkfwqXVs+kAzb9/bi3dyy+/jMuXLyM8PByBgR0Fb21trcZOWdI7BingVq9ezf9/hmFgbm6OxMREJCYmAuj45dfW1iI5ORkpKSn4448/8Pbbb6OlpQWjR4/WGKXz8/PTeLP0JcJBfch3MBZmtra2IjMzE83NzYiMjOSHpocK9S3s6tl0/I7LTtl0TTVCyGQqNMqESJqSZLJrKU4WSqBkgZSixj4VcE5WZhAywNW6ZmRkViI8bBTc3d37VMh2FyUjlUpRUlICqVTabTbdvNFuuDnIsVfHFPWHEfbmYBigrkWBnKIylBfm3vCIrJWZEG2MChZ6LLzXZaSDBewsFHpPwapfh/rasemst4WsUsVi7cECFNe3IdjFCtEjbFAuab+W49bz8yipvx5KzJ0gIbs2FKnvFKqdpRkmBTrq/FpDiwIKlX6Zdrp0XiPbuZDV1bGpT6+CqOIqfB3M8NOlGnx/pRpmDPBuoqrbjEyBQID6NiUYhoGbrTnEYjEq6lvRKFOiVaGCmZlZt1Ov3GN0JmA6dpC2yVUauXq91daHEbjaftyQ0Zmuv//9+/cjLS0Np06dwokTJwAAAQEBCAwMxLhx45CYmIhx48bxAzWkZ0axC7Uzbhj8zjvvxJ133gmg4+KXk5ODU6dOISUlBZs3b8bFixfh6OiI+Ph4xMfHIyEhAXFxcbCzs9N683V3aHB1dTW/06lz2G1/ZuKwLIuSkhLk5eXBw8MDo0ePHlLnuXbHzMwMLi4uGrvB6urqkJ2dDUbWDoaxRJWkFadOnTJ4Nl1fmQkZKBUsMiubMbeX92VZFhXlZTBXtaGNFSIseiw8HPUL89WHrggHfTo2I5ztYaPnIeP9JcLDBv6O5iiXtOPIhXzMTgjtcyHLsbUQQShT9vm5vHVH76fIOuupY6Mrm457D0gkEmRnZ8Pe3l7vQja3ugVH8urBsh2jbwzDQH5tJFGfl/JiWSOAjlHHUW4dxZGDpQgrpvnBwuzGO7p9nT69kRHZEqkMAoEA0YGeKG1oA66UQyBg4OPj3WNGZkWjDCzLwsXaDAKBAE3tLIRMx4YOc3NznSdIdJVNpzFKxwKN7Yo+bULgnnW7vPeHmfbnjlp9mJubY+LEiZg4cSJuu+02TJw4EQUFBbh8+TJSUlLw22+/4V//+hdaWlqQnZ0NX9/erdfsTnt7O9LT0+Hp6clP+3alvr4e+fn5WrdHR0cbXZyKcbWmGwKBAKNGjcKoUaPw6KOP8hlOZ86c4aded+zYgZKSEoSGhmpMvYaHh2sVAbp2OrW0tPAXU10RDtwbuS+/xKamJmRmZkImkyE6OlrjfNPhhmVZFBcXIz8/Hx4eHhjn4YEjh0vg4O6C6GjHLrPp1DdIGOMWdnORAG0KJfKqW3p1v5aWFmRlZaG5uRm+Li7IqpWjrp2F5wC1k9NTNl1XEQ52dnbddmw+/7sUP12qRpCrFbbMDdX5PV1hWRbujBThFhJUN1pA6OrHj6TfCBUfxGtc0/K6OjZcNl1tfQO+TSmEj1kT7M1YvnPZ3NwMoVDYY8fm98u1kF87VWJKoAOAjg98c5EATnpMWZ4u7SjgbM2FMLu25s3STIgkv/45Fef6Bgb9CgiWZfmlBQ4ODn0akeWPBXO0QJtcAQaAtVgIT0/PLjs2ZWVlaG1txSf59qhtFyCrrB5SqT1GuVvj58dGo/3aqGRXU6/dbZBQqDom92ubZBhhJ+71dY25lv7d1pcp1Guvv6uer/9AcHJywowZMzBjxgwAHb/j3NxcvoNzo6qqqrBp0ybs2rULNTU1eO211/Dmm292e58DBw7goYcewpgxYzRuP3TokMa10hiYTAHXGZfhNHnyZEyePBnA9XVl3NTrnj178Prrr4NlWcTExGhMvY4YMULjA0g9E6qrnU6lpaVoa2vjFyarh9129WGmnkc0cuRIBAYGDutFnLoK2ZxrBY+0XaUzwoEbKa2srEROTs6AZ9P1lYVIAAmUGKHnET3qhaynpyfGjBmDi8nlyKqtQ0WjDBE3Xrf0WncRDhKJBAUFBT12bK5K2iFtVyKrsrlXi7PVC9kpkQE4+Vctcmrae76jHljoN+pkaNx1yMrKCtVNMuwraUSIoyPWTvdBS0sL0orq8J8/q+EgUuCxUUy3HZuD2XVgWeCmIEe+ABMKBLAWC/kzTLtTUNsRIaLP9/YFHyFi2/MIXFtbGy5fvoyGhgaMGtW3pQUdocQdBZyvkwVya1q0jgQDuu7YbMpPB6BCfbMMZ86c0ejYCFp1X4d0bZAArh8Lxj2DmuZ2KBQd91XPpuupoHO3FUPSqoBTH0bv+EiUflgD118YhkFISEi/PV52djZcXFxw/vx5JCUl6X0/e3t7nD59ut/aMVBMtoDThWEYeHl5Ye7cuZg7t2MSS6FQICMjA6dOnUJqaireeustZGZmwsvLC3FxcXxBFxMTo7Wgu/NOJ6B32XQSiQSZmZkAMOzPc1WpVCgoKEBhYaFWIcttYedCP9WZm5vDzc2Nj5IZjGy6vhKLBBAwHR8OPelqRNbdtqP4M6ZjwfSNcOA6Ng5qAaU51a0Idet+t6iuQlYFAUQn65Bb3QKFUgWRnrseu6JUdUx3mQKukP30ohytShFKWoSQi+3g6+qK49ViXG29imqhCEFBI/m1dJ2vQ5Y2tvw2Yh+1g965kUh9Xotwd2s0yxoxOcCh/58kgOprkRyu1l0XcOqbvVxdXW9os1dNsxwtMiU8bDtCibmF//rE5IjFYj7uI2KkM266Ka7H6xD3u9C1QYL7XwuRAK0KFRiBCCKRqNtsOm4UT913D0X06bXgXg9g8KZQDWHSpEmYNGlSn+575coVqFQq+Pv7G+2gy5Aq4HQRiUQYM2YMxowZg8WLF4NlWUilUqSlpSE5ORnJycn4+OOPUVtbi4iICI2p15CQEK1fnL7ZdFx+l7OzM/z8/GBjo3sb/XDQUyHraCmCl705RvRwFirQczZdVxEOXHr4QO5s5UY5GloVXX6PeiHr4+ODgIAAjb8xj2ujEcZSwOnSVceGew8I2yUd3wegKDcTQun1sNvOG1S4QlYul2stLQhwtkROdQvya1sR2kWO2FDSuZCdM9YZV46VokWmwqr9V7DxriDIr03XMQx0dmwaGhoglUpRU1iAFwOaUNBmiRBUoLCwDfb29pApOv6+9NmMsf6OoIF7sgDsLETwcbSAp53ugowrZFtaWvpls1eB2ugbACiujYbpsx9DxbKQXyvggl2sur0OqR/Npt6x0ZWR+ecS3adhdJ56ValUqKqqgkAggEwm02uDRE+uhxIP+TKg12prazFlyhR+On3t2rV47rnnDN0sLcPuN8cFnk6bNg3Tpk0DcH2ak5t63bFjB1544QU+m44bpRs7diycnZ27zaarq6vjz+x0cnJCa2srLl68CIVCARsbG43kdmPNpusvSqUS+fn5KCkpgb+/v9aOYY6ZUIDP5+s+Hkgf3UU4cGvpuAgHfbPp+oI73FvaRQGnz4hsuLs1XrnFlz+g21SoR8lUCOvxfUE+hEIGoSPd0NQo1cqms7OzQ3NzM8rLy+Hr66tVyAJApKc1FCoWbT2ck6sPJcvqnV3WX1iWRZmkDX/m1uORsd0vnG5qakJGRgYUCgVfyDpI22FrXg6RkEFlowybjhTDz6mjAO581VAvKDgKhQJxnTo2pY1KyGS2aGlSoayszKDXoX/EeuAfsdrrBHSNyOpad/yv/fn4M6ceQS5W2PGP8B5/XlGnUyVcbcRwsBQhwafnGItWmYrPRRzlrntEufN1CNDs2PQmI1N96rWlpQWZmZloaWlBREQEf1QYy7JQKK5fa3oz9SpTqiBtU8BaLNTrSDRjUVtbi4KCgm6/x8/Pj19T2hc+Pj5ITk7mUzG+++473H///fDy8sK8efP6/LgDYdgVcLoIBAIEBAQgICAA//jHP/hwWi6bLjU1FXv27EFeXh4CAgI0dr2OHj0aYrEYtbW1uHTpEliWRVBQEEaOHMlfFHVl03Hp6V1FOJi6uro6ZGZmQiwWIzExcVBHIAciwkEfyyZ54/XfrqBNqVlw6FvIAh1H9EwaoCmrwWIuEkDAMGDBwMLRHb4+13dccmsZr1y5AqWyI5ahrq4OSqVSK8Jh4VhPMAn9tQN88I8ESymW4IWf88AACHe3wVgdhUJ3I7KedubY/VAkwADvHS3Gw/Ee+C2zBgDA6PFsdHVs0kvrIbxaCIGA0crIvJFsuv6iPiIbExOjMcoLdCz6P3C5FjcFOaKuWQEVC0jbuh7xVsdvYLg2AqdiOza1WOuxM7m+Vc5n4QW76B8g3VNGZlVVFZqbm2FpaalxNBuXpKBeyHbeBalr16u+x4LVGsEGhr44depUj5sQVq5cidmzZ/f5Z4wfP17j3wsWLMCOHTvwzTffUAFnCrhw2nHjxmHcuHEAOi5+NTU1SElJQXJyskY2nY+PD0pKShAbG4uPP/4Y3t7eWhsk+pJNx22QMMYdl12Ry+XIzc1FRUWFViFrSH2JcOAuqPpGyfg5WUIoYCBtu34RNWQhayhikQBCpiM8t6KxHe7XpoUFAgFqa2tRXl4Of39/+Pr6apziUVJSgoyMDD7CQb2guJGOjaGOBAtwssS1TYL81Kc6fUZkueJi1XR/ANcy8tRu7w2GYWAmNu8479XOFgkJAYPSsdFHT0sLOKcKJfj85FX8XSCBnJsC1aNZNc0ypBVLIFeq+BE4bkrUTI8H4DZaCZi+vfacrq5D3GyBekYmV3T5+PhgxIgRWq/Hlbo2bE0uw3g/e8yKdNXaINHdsWDcBhJTW/+mHi02mEaMGIHz588P+s/tCRVwemIYBq6urhp/QLW1tXjkkUdw5MgRxMfHo6mpCePGjeOz6bhp195m00kkEo1sOu4NPxDZdP2puroaWVlZsLa2RlJSEiwtex9mO5i6i3Dg1rCoFxQ9ZdPZWYjAMB1r4Iy1kB0MwS6WuDnYESlFUlRdOxasq0K2L9l0ve3YcGG0g32ihIOlGcyEgEKpueZMqVQiLy8PpaWlPY7IdiYWCcAw+q1h04U7XYOrWfTp2OTn5w9oRiZXyDIMg7Fjx3aZzM+yLH6+1HGqxG2jnLDrdEXHc9GjDTlVLSiTymBhJuA7FFxRrc+pEvnXduSK+3qURzfUQ7dVKhWuXLmCwsJCODk5wcLCArW1tSgsLNS6DmVXKpFR0cwfc6ZrPVxX2XRVjR2jkQ7mAr5Y1PcEiaGmrq4OV65c4Uc429raNHYTy+VynDhxAgkJCQZspW5UwN0ACwsL+Pj4IDc3FyNGjOALgNOnT/NTr//3f/+H0tJSjBo1SqOoCw8P11rXMdjZdP1FJpPh8uXLqK2tRUhIiFZEi6lQj5LhCgqlUqlRUHSXTScUCGBnLkJ9iwzH/joFRzvTKGQ7u1DWiI2Hi2BlJsSXC8J6fX8bcxGiPG1wuqQRZZKOU0f0LWT7mk3HbZDQ9djczr3BLuDEIgGsxSJI2hRIL29Coq/9DY/Icuuw+vpU1M907UpXHRsuzkf9OtT5d9Cb65B6IRsQEABfX99uC4isyhbkVLfA2doME/zscbJAgvSKZr2mAbMqmzsKeRaQq1gIBYzaCFzPr+YT47xw/xh3VDYN3OYiiUSCjIwMMAyDhIQEjUKWuw5xR7OVlZXheBELmcwCZq21KClhdXZsusqma2jreO4uNuIuR+mGQlEnk8lw8eJFAB2RVGVlZTh9+jRsbW0RGtqRUfnbb7/hoYceQnV1NVxcXHD//fcjOjoa48ePR1tbGzZv3ozKykqsWLHCkE9FJyrgboC1tTU+/fRT/t9cATBlyhRMmTIFgGY2XXJyMn744QesWLECLMsiNjaW3ySRkJAAT0/PXmfTdY5w0LXTaaCwLIuKigpkZ2fD0dER48ePN9ljsLoiFAq7zKZTj3Bg2Y6gVUYGyOWAvbs3YsP8TbKQrWqU4UptGwQM+hzh4W4rhkqlwoXcYkSOEt9QIdtdNl1DQwMKCgrQ2NgIsVissUmI69gIGAarZwT0+RzUG+FkZQZJmwKXypt6Vch2xUoshIVIgBFd7NzsiaWZAKFuVvB20P992tV1SJ+OTVcZmeqF7Lhx42Bt3f0u48yKZmw8UgSFisWsCBeIhAIoWVbv0cj0iuZrz6UjugPoKOQA/aZQAcDGUgSbPuSt9USfQlb9OuTj4wMA2FuXA1FzM3wdzbvt2OjKpqtr7Vh/6mFvya935KZe1UfqOL3ZIGFMamtrsXjxYgCAu7s7zp49i8WLFyMuLg5ffPEFAMDZ2RlxcXH8rMo333yDzZs34/333wfQcQLDzp07+XWMxoQKuAHWVTbdpUuX+BMk1q9fj6ysLD6bLiEhAfHx8b3KpuN6x+Xl5bh8+TK/21b9zdyfxVVbWxuysrIglUoRFhZmlH/cA6VzNp1KpUJRUREKCgpgJbQCwwiRkVeI1ppSg2fT9QV3tBHLdqyzCXHVf9E20NHrlZYXQi6XQ25mg9jYyH4tZPuSTed+7XfQm2Dh/jA7yhVf/F2C7HIJmrwFNzwia2suhJVYCB/Hvj1GsKsVNs0K7vPP5/TUsekqI9PKygrFxcW9LmR/y6pBbnUL7MxFuC2UO9+342v6nK7BBfh6qYVsTwl0QLCLpd7B2wOhtrYWWVlZeheyHJZlUdTQcSzYhKhgWImFemdkWtvYoryxHSzLwvXasWBAz1Ov+m6QMCaenp49BvLOnDkTM2fO5P9tbW2NV199Fa+++upAN++GDWgBx7Iszpw5g5KSEowaNQphYb2fjhmKRCIRYmJiEBMTw2fTSSQSpKWlISUlBadOncJHH32Euro6REREaEy9BgcHd5lNp77TSVc2HRfhoL4wubcFBcuyKC0tRW5uLtzc3DB+/Pghs3O2L9QL2YiICAQzbSjLb0BQRDTCHdFtNp2xRslYizsuxiyAjIomvQs49RFZBxsHiMViSBSCQXl+PWXT9SbCQd1D32SguKENK6b54rZRvYsmkMlkCGUq4GUhR7VcDAff0BueTufW8xnZnwwA3aHb3AaJ/Ip67D5fg3H2TRAKBXB0dOyYymto6LFjw7IsjuU3gAUwNcSR30TgYCGChUigUZR1hQsJj/a6PmXtaWcOTz2yJwfCja6RVQ8lthJ3vB49ZWRKJBIUFRWhulmBw7l2YMEgr7QSgfaM1oxNX44F649sOtI7A1bAtba2Yvbs2bhw4QKio6Nx6tQp3Hffffjiiy+M7gPL0BiGgYODA2699VbceuutAK5n0506dQopKSnYvn07nnvuOVhYWGjEmMTHx/eYTQdo7nSqq6tDQUEBFAqFxsJkOzu7bguK5uZmZGZmoq2tDaNHj76hrB1Tp17Iuru784WsY0EZAEAqU8HJyUUrm049SsbYIhw4QgG3ixR6hSsD2iOybm5usM5IR32LAjKFCmLR4F/Mu+rYcGG3ubm5PXZsyhvbIVOyOJrXoHcB13lpQWKwJ37PbsDlqhaE3GAgsaHW8/UFwzCwtbWFubk59lyswh/lIoR6+2JaiDOkUik+T61BZl0lYh3aMcNP3GXHJquyGbXNcjAM8I8YN/7xnW3MYCUWIsC5+6KYZVn+1IXp10bvDKmqqgpZWVmwtbXt84hs51DiruiKkskoawCbm99xBmtdPVJSinqdTQdojtKp/29fs+lI7w1YAbdhwwZkZGTg4sWLcHd3x8WLFzF27FhMnToVCxYsGKgfO2SoZ9M98MADWtl03FmvXDad+gkSXDadeiGmvtMJuF5QcB9mJSUlkEqlOrPphEIhn0fk5eWFmJgYg26aMDT1QnbMmDH8awpcPxas82kMXUXJGEOEQ2cC5nrkRk8jFF0VskDHGZeFdW2oapIN2HmavaHeseH01LGxNmPQLAMyKvQ717W1tRVZWVlobGzklxZI8uv5Am7WDT4HVS+mDQ2NK2QzsrLxY74NlCyD09XA3ARHODs7I/tII6rbZagWucLPz1Fnx8be3h6X64UQXetRiETqI0LcjtruX4s2uQr+zhZoaFEg3N1wJ3q0t7cjOzsbtbW1CA0N1Vrz3BtF9R0FHBeJoi+GYdCsFHScDQxgemIkfBzM+3Qd6mqUjptu5UbpdE29dj4SjPTNgH0Kf/PNN3jggQf43u/o0aMxbdo0fPPNN1TA9UFX2XTV1dV8QXfgwAG89dZbaGlpwZgxYzSmXjsvjFUvKHqKcGAYBkKhECNHjoSHh8ew7UmpVKoeC9kR9uYIc7eGkx4HRBtDhIMuQoaBgOkoFupb5fDp4lSI7gpZoGMjQ2FdGyobjaOA00VXx6a1tZX/HZizHYW4HdOKM2fPwdHBnt8oob50oHMhGxUVxX991LWi4XJl8w23V2UiI3DqI7KjI8OR0CRBcpEUF8ub8cGxErx0sw//XMyEAnh4eGhlZHKFtXu7BK8Gt6AJVqgsyEbbtfeAQs9zXS3FQux6MHJgn3A3WJZFeXk5cnJy+m2zV+G1WBPfPpzYUtbQDqBjGn6EnXm32XQNDQ0a2XSdr0Nc6Danc1GnK5uutLQUy5cv7/uTJ7wBKeBaWlqQn5+PyEjNN01UVBT+85//DMSPHJYYhoGbmxvuuusu3HXXXQA63jDZ2dk4deoUUlNT8fHHH+PSpUtwcnLSmHqNi4vr2DXZRTadeh6Rm5sbLC0tIZVKcfXqVa2dTnZ2dkabTddfGhsbkZGRAZVKhbi4OI3F2+qS/OyR5KcdyKqvwYpw6I5AwFxL+mch0XEsmHoh6+3t3eWI7L3R7pgd6YqAXo4SGBLDMBrZdJ5Z2SgtaYSrox3cXG00OjbW1taws7ODpaUlqqqqIJfLdRayrtZmCHS2hKuN+Iank6+vgRvc91qbXIk/susgEjKYGdb1VHJXI7IJvkBxfRvaFCocv9KASE8bfhNC5xE09esQV1DIZDK+oOM6NnkVZpDJzFFVWYEKZ4VRZmTqGpHtD4XcCFwP08c671vHZdoJuvxb7KljU1xcjMbGxh4zMtXXwymVSnz22WdYt24dYmJiet1uom1ACjipVAoAGmfCAR3bdRsaGgbiR5JrBAIBwsLCEBYWhscee0wrmy4lJaXHbLq//voLLMvCzMwMiYmJGlNOnbPpCgoKjDKbrr8olUoUFBSgqKgIvr6+8Pf3H9SdpAMR4dATd1sxFsS44X8ZNVpTwfoWsgB6vXvVGNlZiMAAkMrAxzcAHQVFQ0MDiouLUV5ezi/gvnLlCmpra7VGSj+cE9Iv7THUGrgXfs7F+bIm2IgFmBjgAFtz7fd2dyOysyNcMHe0K3KrW3Eguxa3hjhiy18lAPQ7IUMsFmt1bLJOFEEorQPA6szI5Do4hrgOdTciy8mpbkFlowxJfvYQ9eIXKleqUNrQBrGQgYdt79fLFl8bgeM2K+mjc8cG6P46lJWVhbq6OkycOBFxcXEoKCjA4sWLkZubi/feew+LFi1CU1OTxmcL6b0B+cvmhoebmpo0bm9qatLKpCEDq6tsuqtXryI5ORkpKSn44Ycf8NprrwEAbG1tUV1djeeffx5PPvmkVtCosWfT9aeGhgZkZmZCIBAgISHBaC42fY1w4EZKeyISMB1TKwyD+msFXOdCNiAgYFhMpdtbdFwia1s0C9n29nZcuXIFKpUKY8eOhb29fY8RDtzv4kY6AIZaAxfqZonzZU0dZ9x2Wr7ExehcuXIF3t7eiI2N1XqO3EhPqJsVQt06Cnt3WzHqWhRw0WO5QWcMw0AoMoNQKISPtxfGhThpFRSlpaX92rHRV09LCzi7z1bidIkUSyZ4Y2aY/psr9mXWoFmmRIiLVZ9O5Ki6FkbseIOZdl1dh6RSKc6ePYv//e9/2LBhA+RyOVQqFQICArBx40bMnDmTn7YlN2ZACjhuO39xcbHG7UVFRQgICBiIH0l6gWEYeHt7Y968efzhvEeOHMEDDzwAa2trJCQk4LfffsP7778Pb29vPmx47NixiImJ0Vr3oG+EA5dNp/5hZozBvwqFAnl5ebh69SoCAwPh4+Nj9MVKdxEOUqkU+fn5fAeqc1Gnq6BQ34xhrIXsYHggzgPJhRK0KlRolSshFqDLQrarCAf1o9lutGNjqDVwoW7WYFANFcDHVgC9G5HtTChgwDCAeR+nlDu/Fn3t2PTXdahzIdvdZq+ShjacLpHCSizElEAHnd/TlSO59WiRq2DXxwKsTd6xLs19ACJUzM3N4erqimeffRYTJkzAU089hYqKCsydOxcsy+KTTz7BU089BU9PTyQmJmLcuHG47777+Kly0jsDNrZ8++23Y8+ePXj55ZchEAjQ3NyMX3/9Fc8///xA/UhyA8zNzbFy5Uo89dRT/C4hLpsuOTkZJ0+exIcffoj6+npERkZqrKcLDg7WKnAGM5uuP9XW1iIzM5PfMKJvsKax4SIc1Ist9UyonrLp7C1FYFkWxZW1OHMmx2QK2c4+OFqEY/kNuDnIEc9N8en5Dp142pljpKMF8mpakVdWC2lpLoRCoV6FbOcIB+DGs+kMlQPnaiOGSMhAoWRRVNcGP0fxDY/I3ug+xOvnunb9YnTXsZFIJBodG65D4+Dg0OvrkFQqRWZmpt6F7C/pHWe6zhjlpFEQ66O4vg0se70Q6609j45Gs0wBpXJgdoK2tbVh9erV+PzzzzF//nx88sknGp37pqYmfknPqVOncPPNN1MB10cMO0D7efPz85GQkIApU6bg1ltvxa5du1BVVYXTp0/T0KmJUqlUKCgo4I8FS0tLw/nz52FpaakxSqcrm04X9QgH7j99djoNBLlcjpycHFRWViI4OBje3t4mNd3bF52z6SQSCRobGyEQCNAIS2zOFMDLGvjg7pBejawYkwe/SUd+bRv8HC2w++G+7UR8+48CHM+vw92eTbhtjG+/FrKdo2SkUimam5thaWnJFxPcDkGBQICGVjnKJDI4WokGNYQ2r7oFT35/GUoVi2cSXeElK4FIJEJ4eHifR2Rf/zUPKcVSLB7vhXljer+4/+dL1UgrkeLeaDeMGdH3UeHOYbcSiUTv0G2lUokrV66guLhY70J2e2oZdp+rhLlQgK/uD4OLde/WsU3ZfAYyJYu7wl2w4la/3j7dAcOyLP7++28sWbIECoUCn332GWbMmDHkr6OGNGAjcIGBgTh37hy++OILJCcn4/bbb8eSJUuoeDNhAoEAgYGBCAwM1MimO3fuHFJSUpCamorvv/8e+fn5CAwM1NggERUVpVc2nfpOp5KSEmRkZOjMpuvP0x8qKytx+fJl2NnZYfz48cNmnaaubLr29nZkZmaiuboODGOHJjmLtLQ0g2fT9ZWztRj5tW2obZH36f41NTVor6+ASiWC88gg+Pl59Wv7uotwkEgkOiMcHO3tYS/q27FgfT1KzM1WjJsD7XEsrx4nL5fi+UleN1zIOluLYWkmhJd9395vd0e54u4o1z7/fI6usNvuQre5/1iWRU5ODkQikd5LCxQqFv89X4WmdiUmhTn0unhrlSshvzZyNimw77vd+1tjYyNee+017Nq1C4899hg2bdpksrMXpmRAt+f4+Phg/fr1A/kjBo1MJsOvv/6K+vp6PPbYY4ZujlHgsumSkpKQlJQEQDObLjk5Gfv378e6devQ2tqK6OhojanXzh8AunY6dZVNZ2VlpbUwubcfJu3t7bh8+TLq6+sRGhoKDw+PYd1bVC9kb5k0HltLcqFggMmTx/C/A0Nl0/WVo2XH9FSbXIWaZpneH5hyuRzZ2dmorq5GkJc3zkhb0CAbyJZe118RDuoyKxqx9MdcsAD+fDqm15sgZE0NGCMqx1+MBaQie/j5+d3gszTeTLuuQre598DR3DrUScsQYdPGx/nU19fz74nurkMZ5U2QtikgFDC4L6b3o46XK5v5EN44b8MPhrAsiwMHDuC5556DtbU1Dh06hIkTJxq6WcOG6ec8DIK3334bW7Zsgb29PbKzs6mA64aubDqlUons7Gx+1+tHH32E9PR0PpuOG6XrKZuOI5PJ+A+zqqoq5OXlaWXTcQuTdRUULMuirKwMOTk5cHZ2xvjx4w1+fJUhdVXI2lkKUd+igAKiLrPpJBKJ0UU4qLMWd8SAOFmLYKZHgc+yLKqqqvhCNikpCRnVMiCrABWNg1TBddJdhAMXtlpWVqaRTde5Y2MlFqHl2pqp3OoWhOp5pJd6IRsTEgT3CimqmxWoa5HrFVbdHX493w09yuDgrkNt7TL8VtCOqjZLzL83AuYCVa86Nt+cqYCSBdytzRDk0vuYneP5DQA6dvX2du1cf6urq8OLL76IvXv34rnnnsOaNWuMclPaUEYFnB68vLxw9uxZ/Pbbb3j88ccN3RyTIxQKER4ejvDwcD6brrm5mV/Impqaim3btqGsrAyjRo1CXFwcEhISMHbsWISFhWkVAWKxGK6urnB17Zg+4R6P+zArKChAY2MjxGIxv4aIKyrkcnnHFGFzMyIiIvjFzcOReiHr4uKiVcg6WpqhvkWB+lY5f4A4oF82naEiHDqzEgvAMICFSAD7HnbtdVXIul+bGas0UAGni/qOSy6frruODWthey2aGTia19BjAaerkLWwsMAo90KcKpQgu6rlhgKrAbUROGMbgtNBJpMhJycHf+bUobjZCkIBkFqhwJzRbr3q2Jixio4ORR+L33APa/g5WWCEneE6nCzL4vvvv8crr7wCLy8vnDp1ioJ5DYQKOD08/PDDhm7CkMIwDGxsbHDTTTfhpptuAnA9+JIbpfv++++xfPlyMAyD2NhYfpNEQkKC1lQn93g2NjY9ZtMBgJWVFfz8/GBlZdXnNUGmrrW1lS9kIyMj+WJYXaSHNVyszfSabjN0hENXrK+NUrTIut6x11Mh62bT8f+rGmVG/ffSVcdGIpGgvKYBArBQApBXF+DChZouo2TUC9lRo0bB3d2df86j3KxwqlCCy1XNN1zAsQbKtOuNzoXsP26Jxe/f5aK5XYltKWVwtDLDTUEdOyx7ysiUSqWY6SRBlFCGEQ5yZGRk9Lpjc2uoM24N1T8zrr+Vl5dj6dKlOHbsGFasWIFXX33V4KPswxm98sQoMAyDkSNHYuTIkZg/fz6Ajl5veno6f4LE2rVrcfnyZXh7e/NTr/Hx8T1m0zU1NSEzMxMMw2DEiBFQKpWorKxEbm6uRjZdTxEOQwHLsigpKUFeXh48PDwwevToLtdNPZF0Ywv2+xLh0F02XV9wAbKtCiWUKlYrckKfQlYsEmDdzAA4WfffxpnBoN6xcXH3hNlf5wGlCiEBfrCz6Thzl4uS4UZKWZZFZWWlzkIWAMLdrRHiagXXXi6+10VpoDVwV2pb8fXpciyb6A3Hbp5HW1sbLl++jIaGBo1CNsLdGnUtClQ3y/DxiRKMHmHT5YiaroxMY+jY9JZSqcT//d//YdWqVYiMjMS5c+cQEtI/p4uQvhuwGJGhaPv27Xj88cehUGifD0kGHpdNl5qaym+SSEtL08im49bTBQcHQyaT4bfffuPPVAwMDNQoDLhsuoaGBr6XbIzZdP2FK2RlMhnCw8O1jrozhBuJcNDr8ZUqPPX9ZVQ2yvD1AxFwvPZB27mQDQ4O7tedzcaGZVlM++wc2hQqvHyzL+ZEXR+la29vR3V1NQoLC/lRaqFQqHc2XV+tPViA1GIp1t0ecEMxIL01+ZMzkKtY3BTogLfvDNL6eucR2dDQUI3nrlCxEAkY/HixCl725kj0vdGRSM2OjbFdhwoKCvD000/jwoULWLduHZYsWTIkrodDAY3AEZPBMAwcHBwwffp0TJ8+HcD1bLpTp04hJSUFX331FZYtWwaxWAylUglLS0t88MEHiI6O1todJhAItMJu1SMc6urqUFBQYLBsuv6iUqlQWFiIgoICnYWsIfU1wsHOzk6vgkIkFMDRygxVTXJI2hRwtDLTKGSjo6ONopAdaAzDQCwSoE2hQoW0TeNr3Ho5T09PPpRbvaCorKxES0tLv0fJGOpYMEcrEaqa5DATMVpT4i0tLcjKyup2RJY7t/Se0f2zflY9dNvb2xtAR8eGm3atr69HYWFhv3Zs9KFUKvHRRx/hnXfewaRJk5Cenk6Bu0aGCjhi0tSz6R588EGwLItXX30VH3/8MSZPngx7e3usXr0aDz/8MAIDA/lp1/7IplNPbu8uwsGQJBIJMjMzAQDx8fEau3mNUU8RDlKpVCtKhhsp6qqg4I4Fq2uWQdVQbpSF7GB4YfJIfHi8BFVNHZl43RWyXWXTNTQ06Mym60vHhjXQFKqnnTmqm+RQqcC3lWVZFBcXIz8/H56enhgzZoxB13aJRCKt65A+HZv+ysjMyMjA4sWLUVxcjE8//RQPPfSQyXRYhxMq4MiQwjAMAgICcObMGURERAC4vhCZW0v3+++/Y926dfxh0+pFnaGz6fqLUqlEfn4+SkpK4O/vDz8/P5MI3tWlqygZbqS0pwgHR0szqFQqpF7Mwhgn1iQKWV0e+Dod1c1yfP1AONxte78+KmqEDYQCBpWNMly5cgUFBQXw8fFBQEBAj4XsQGTTGWoEztveHJfKm5BX0wKg+0LWWPTUsenqOmRnZ9erkVK5XI633noLH3/8Me68807s379f5ygkMQ60Bk4PR48eRV5eHk6ePIkdO3bgiy++AADcdddd/FmfxLRw2XSnTp1CamoqUlNTcenSJbi4uGiEDcfGxmpl0+miHuHAjRT1JpuuP9XV1SEzMxNisRjh4eGwsbEZ0J9nDDpHOEgkEj7C4US1GMcrhZgVKMaTt4Sb7CaVCR+fhooFVt7qh9vDXXp9f4VShTlfXQSrlGPFaAUiIsL7tZDtHCUjkUg0omS40Wpra2sIBAKUS9vRIlNhhH3HiQyD5auUMnyVUgZLMyHevckGtWXFeheyxo67DqmvK9U3dDs1NRVPP/00GhsbsXnzZsyePZtG3YwcFXB62LZtG06dOqV1+/LlyxEUpL0Ilpge9Wy65ORkpKamIi0tjc+m40boEhISMGrUqB6nV9QjHNQLCnNzc60dl/01VaNQKJCbm4vy8nIEBQVh5MiRw/oCXFNTg4yMDJytN8OBcjHGOcsxwbEJNjY2WmG3pvA6cWdgzo50wfKpfr26Lzciu+JoHZpVZtj1UBSc+mEnaU/a29u1NqmwLKvVsenL8XW6dhXrI7OiGe8fKUBhXSseDFRiTlKYSY7I6qOrjs3nn3+OpqYmxMXFITY2FkePHsU333yDBx54AB9++CEdeWkiqIAbZhobG3H8+HGUl5cjODgYkydPNokPL0PonE2XmpqKs2fP8tl06rte9TmGq3M2nUQiQXt7u9bCZGtr617/Tqqrq5GVlQVra2uEh4fD0tLyRp66SZPL5cjNzUVFRQWCgoJQrLDDhsNFuCXYEUvGuWuNlALGHeHAmfbZOTTLlAh3t8K2+8L1vp/6iOz35Xa4XN2OTbOC9D6NoT/11LHpKptO3b/2X8Hh3HoEu1riq168DsD1Qvb785X4q84K98Z44NHE/j3f1tgplUocP34cR48exeHDh3HhwgUolUr4+/tj6tSpGDduHBITExEWFmbyI5JDHa2BG0Z27tyJVatWISIiAp6enlizZg1GjBiBgwcPUo9Lh66y6S5dusQXdKtXr0Z2djZGjhzJhw2PHTsW0dHR3WbTcdQXJpeVleHy5cv8Aef6RDjIZDJkZ2ejpqYGISEhGDFixLAuyNUL2aSkJFhaWqKxogkAUN+i6DGbLi8vz6giHNSZixg0yzqy2PTRuZAdOXIkTh4vweXqdlQ1yRFqgENI1LPpvLw6CqfOUTJcNh03UsptEuI6Nm1yFRQqFkV1bVCxrN5r6NQL2enxo5B8uAzZ1a0D+XSNklAoRFxcHHbv3o309HQ888wzWLZsGS5cuICUlBTs3LkTy5Ytg1AoxNixY/H111/zwcSGkJqail9//RVjxozBPffco9d9fv/9d5w5cwYuLi6YO3fukF3HRwXcMDJy5EicO3eOLyAkEgkiIiLw9ttv4+233zZw60yDWCxGXFwc4uLisGTJErAsi4aGBqSlpSE5ORl//fUX3n//fTQ0NCAqKkpjPV1QUJDWYmILCwtYWFjwaylVKhVfUEilUuTm5qK5uRmWlpYaRZ2trS2qqqqQnZ0NR0dHjB8/3ihHjQZLd4Wso2XHIvqGVrnW/XqKcKirqzNIhIMuYqEAAgZw1iNQWFchCwDuth0dAUOd66qLrigZ9bDbq1ev8jsu7ezsYIuO59CuUOl1rquuQlamZCFkypFT3QKFUgWR0DQ3+PQWy7LYu3cvXnrpJTg5OeH48eNITEwEAAQGBvIFkkKhQEZGBpKTk/mjwgZbaWkpvw6vpqYGN910k14F3IMPPohDhw5hwYIFOHLkCFauXInjx48jLCxsEFo9uKiAG0ZuvvlmjX/b29sjNjYW2dnZBmqR6WMYBo6OjlrZdFeuXEFycjKSk5Oxbds2LF26FNbW1hqjdPHx8XByctIoArgPKfUR0c7ZdFyEA8MwcHJygpubG5RKpVEf8zRQWJZFRUVFt4Wsg6UI8SNt4W2v3zorQ0c4dMVM2PG7bWjtOkhcvZANDQ2Fp6enxt8EV8BVNrYPWDtvFMMw3XZsrCtrAbAQMyyKMs9BVtl1Nh13DFbnQtZcxCDA2QK5Na24UteGENfeHyxvaqqrq/Hcc8/h4MGDeOmll7Bq1aou/15FIhHGjBmDMWPGDHIrrzMzM8O///1vxMXFYdq0aXrd5/fff8e3336LCxcuICoqqiPAeto0vPDCC9i/f/8At3jwUQE3jNXW1uLEiRP45z//aeimDCkCgQBBQUEICgris+na2tpw7tw5fur1u+++w5UrVxAUFKSxli4qKgpmZmY6s+mcnJxw9epV1NfXw9XVFS4uLmhqaupThMNQ0NbWhqysLEilUoSFhcHNzU1nAWslFuJftwX0+ecMVoRDT8TXCjhJq1Lra/oUsgAQN9IOH9wdDM8+xJAYknrHJqLZCoK8AgiEQkRH+KNRKkVNTQ3fsbGzs4ONjQ0aGxvR3NyM0NBQnUsLEnzt4WYrhnCId3pYlsWuXbuwYsUKBAQEIDU1FZGRkYZuVo/c3d17nfLw448/Ij4+HlFRUQA63rsLFy7Eo48+isbGRo3Q9qGACrhhSqFQ4IEHHoCrqyuWLl1q6OYMaVwBMH78eIwfPx6AZjZdcnIyfvvtN6xZswbt7e2Ijo7WmHodOXIkMjMzkZOTA1dXV4wePVprWoOLcODCVsvKytDa2gpra2utHZemmgfH4TaX5OXlwdXVFePHjx/0QrWrbDpu6rW6uhp5eXl6RzjoY+V0f7y8Nw9tCs0CrnMh292Hnr2FCPYWpn3ZtxQLIWAYKFlAZOWAQNfrx4K1tLSguLgYZWVlEAgEUKlUyM3NRVVVlVbH5r6YoR8BVVpaiiVLliAlJQWrVq3Ciy++aPC1nAMpOztbKxkiODgYSqUSeXl5iImJMVDLBoZpv5NJnyiVSjz00EPIyMjAsWPHhlyvxBQwDAN3d3fMmjULs2bNAtDxe7l8+TK/6/WDDz7ApUuXYGVlhZaWFkyYMAH//Oc/IRaLtaZLhUIhHBwc4ODgAB8fHwCa2XTccUm6sun6EuFgKM3NzcjKykJrayuioqIMtj5HF7FYDFdXV37BdOcIh8LCQj6brvNIqT5RMtw5rtwUKlfI5ubmwt3d3SCFrCGIhQx/ekNFowxO19YEtre3IycnB1KpFJGRkXB3d9fKprt69apGNp36zm9T79ioUyqV+OKLL7BmzRrEx8fjwoULCAjo+yi0qWhubtbakMd1spqbmw3RpAFFBdwwo1Qq8cgjj+DEiRM4evTosHhTmwqhUIiIiAhERERg0aJF/CLempoa3H///aiursbTTz+N8vJyhIWFIS4uDgkJCRg7dqzObDpdBYV6hMOVK1e0Ihy44s7YeukqlYo/6sjLywvR0dEGPepIHwzDwNraGtbW1vwuvs5RMqWlpWhra+M3SKiH3XYepXO4NnJW36pAc3MzMjMz+dNEuPV6w8EYL1vMDHPGiSsNqGyUIczdqstCVr1jw+E2SEilUlRWViInJ4fPpuN2vJpax0ZdTk4OFi9ejJycHGzatAlPPPHEsFkba2NjA4lEonFbQ0MD/7WhxrivgKRfqVQqLFy4EEePHsWRI0cohNjIubq64oEHHsCSJUv4DxOWZVFSUsKP0n333Xd45ZVXIBQKtbLp3N3dNS7c3UU4cEVFcXExZDKZzhEKQ30INDY2IiMjA0qlEnFxcRofxqamqygZ7vWvqKhATk4OAN3ZdFZmAkhaZPj7VDJ8vL0QExNj9IVsZ4dza/HukRLYmQvx3SNRvb6/hUiAAGdL/F0gQXFtI0435PWqkNUVJdNTx6anbDpjoFAosGnTJmzatAnTpk3DTz/9xB//N1yMGjUKp0+f1rgtJycHQqFwSH7eUZDvMLJ8+XJs2LABzzzzjMYfs6enJxYsWGDAlpEbwWXTcSdIpKam8tl06mvpoqOj9Vp/pb7jkhup6E02XX/hdvMWFRXB19cX/v7+Rv0B2l9UKpVW2G1zczPEYjE+yzFHnUyATbe6ISJwpEm+HnvTq/D2oWIIGeDos3EQ9eE0haO5ddhwqADhNm14It4ZQUFB/VrIds6mk0gkRhEl05Xz58/j6aefRmVlJT788EMsWLDAKNrVX6ZNmwZvb29s375d4/bi4mL8+9//xpIlS/hM09tuuw1nz55FTEwMVCoVbr75Ztja2mLfvn2GafwAogJuGNm2bRsuXbqkdbufnx+ef/75wW8QGRBcNl1qaiq/SSItLQ0SiQSRkZF8hMnYsWN1ZtN1ph7hwBV0XDad+uiEnZ1dv60jamhoQGZmJgQCASIiIob1Ok2VSoW8vDwUFxfj+3IHFDUBj/i1wNVMxm+Q4IprYykouvN3QQNe3psHBsDOf4QjqJcRHo2NjdifmoGt2UJEjbDBprsHPt+L20muXtQZqmOjrr29HatXr8bnn3+Oe+65B5s3b+bz9IaCN954AwCwa9cu2NnZ4a677oKjoyNeeuklAMBff/2FSZMmIS0tDfHx8QCARYsWYe/evZg7dy7S09ORl5eHEydOIDg42GDPY6BQAUdMVmlpKQ4dOgSJRIKwsDBMmzbN6D+8DIUbzTp16hQfZXLhwgXY2NggLi6OH6WLj4+Ho6Njj6+jejYd959CodDacdn5NIqeKBQK5OXl4erVqwgICICvr++QWlzeW50L2S2ptfi7QIJV0/0Q6SrWGikViURaBYWxbWy4WNaEp76/DAB4baovZkXql5KvVCpRUFCAoqIiOHqMxKqTLXCzFff6OK3+0rljI5FI0NLSotGx0ZVN1x9YlsXJkyfxzDPPoL29HZ999hlmzpw55K5/69at07rNwcEBzz77LACgpKQEO3bswKJFizSmiw8fPowzZ87A2dkZc+bM0ViyMJRQAUdM0nvvvYetW7diwoQJsLS0xN69e+Hh4YE///xzWI/W6Es9m46bek1LS+Oz6bhRuoSEBERGRmpl0+l6vNbWVo0Ps95m09XW1iIzMxMWFhYIDw+HtfXgn9VpLNQL2cDAQPj4+EAgEODzk6X4NbMWz00eiWkhmiMtnbPpJBKJVjadMUTJXK5sxqL/ZIFhgO3/CEeQS88jcJ0LWRsbG8zfkQ6ZUoUfF0YZzUkKcrlcq6jmsunUN6n0NUoGAJqamrBixQp8/fXXePTRR/Hee+8N6/fKcEYFHDFJqampiI+P5z+Iampq4OXlhc8++wyPPfaYgVtnmliWRWVlJVJSUvj/zpw5o5FNx22QGDlyZI9FQOcIB4lEohHhwH2YicVi5OXlobKyEsHBwfD29h5yIwm90V0hu/tsBb49W4mHx3pi/pieDzNVj5LhRky5KBn1kbobKSh6K7uqBU9811HA/efhSHjadR0q3FUhCwBLfriMkoZ2/PveUd0+hiFxUTLqo9V9Dd1mWRYHDx7EsmXLYGVlhS+//BKTJ08epGdCjJFpbV8i5JqEhASNf5uZmUEgEAzr80BvFMMw8PDwwOzZszF79mwA2tl07733HjIyMuDq6qqxQSI2NhY2NjZdZtNx2tvb+Q+zqqoq5OTkQKVSQSQSwcPDA2KxGO3t7SYb4XAj5HI5cnJyui1kg12tcHOQI3wc9Ps7H+hsur4QMgD3tBpaFV0WXzU1NcjKyoKFhQXGjRunNcrkbmuOkoZ2VDXKjLaAU4+S4ab49Mmma2hoQEhICL+erq6uDi+99BJ++eUXLF26FOvWraNrHaEROGK6uPUPjY2N+OOPP5CUlISPPvrI5GIVTAnLsmhqasKZM2dw6tQpftdrRUUFwsPD+bNeExISEBoa2uXvor29HZcvX0ZdXR38/PxgZmbGF3amGOFwoyorK3H58mXY2dkhLCxsUAvYztl0EokE7e3tWjsu+ytKprCuFY9/lwWFksXbdwYhyc9e4+tyuRzZ2dmoqqrqdkS2XNoOsVAARysRBCY+Ystl03Ejpffeey/q6+sxatQoODk54cyZM/D29sbXX3+N2NhYQzeXGAkq4IjJ4raQ19XV4ddff0VSUhK2bdtG60EGmXo2Hbfj9ezZs3w2nfquV1dXV2zfvh0+Pj5wd3fHqFGjtHbtqUc4cEeDcREO6tN+hsym6y9cIVtfX4/Q0FB4eHgYxXPiomTUCzuGYTR2vHLZdH2xLbkMP6dX4+kJXrg97PppGoYsZI2JQqHAn3/+iZUrVyI7OxsuLi6oqqqCl5cXEhMTMW7cOCQmJiIuLg5WVr3bxUuGDirgyJBQX1+PiIgIPPnkk3jzzTcN3ZxhjWVZyOVyXLx4kd/xmpKSguzsbJibm4NlWTz22GOYN2+eXtl0LMtqjFAYS4TDjWBZFuXl5fyHc2hoqFG3vatsOgsLC60dl/qMlO65UIXtaeW4P9Yd/4j1MNpC1hBUKhW2b9+OlStXIjw8HF999RVCQ0PR2NiI06dP89FAKSkpaG1tRV1dncE2paSnp2PdunXIzc2Fr68v/vnPfyIpKanL7//xxx+xatUqrdvPnj1r1H//xooKODJk3HnnnRCJRPj5558N3RTSyXfffYdFixZh0qRJiIqKQnp6OlJTUyGVShEVFaWxni4wMLDX2XSDGeFwo1pbW5GZmYnm5maEhYXx69NMjT5RMnZ2djqz6f7MqcNHx0swc5QzZvszyMnJMYlCdqAVFhbi6aefxvnz57F27Vo888wzXRbELMuiurqaP1FisBUUFCAmJgbz58/Hww8/jL1792Lz5s04efJkl4fGb926Ff/6179w4MABjdsjIiKGbcF+I6iAIybp3LlzGheJuro6hIeHY9GiRVi/fr0BW0Z0uXDhAmpra3HLLbfwt6lUKuTn52tMvXLZdFxBx02/6ptN13nHJRfhoD5S19tsuv7CTTXn5eXBw8MDwcHBRpfRdiPUo2TUp8B1ZdNdrGjFv/ZfQYitAnePaDHpQrY/KJVKfPLJJ3jrrbcwYcIEfPnll/Dx8TF0s7r1zDPP4MiRI8jIyODfT5MnT4abmxt++OEHnffZunUr1q1bh8LCwkFs6dBFBRwxSRMmTICjoyOioqLQ2NiIH3/8Ef7+/ti3b9+QDW0c6rhsurNnz/JTr6mpqSgsLERQUJBGjMlgZdP1l6amJmRmZkImkyE8PHxIpeV3p6tsujqlObblW8DXlsGGOwPh4OBgdCOlgyUjIwNPP/00CgsL8e6772LhwoUmMRoVHh6OmTNn4r333uNv27BhAzZs2IC6ujqd99m6dSuee+45xMTEQCAQIDo6Gq+99tqwO7O1v9B2PWKS/v77bxw+fBinT5/GiBEjsHv3bkyZMsXQzSI3gGEYWFpaYsKECZgwYQKA69l03Jqfffv24c0334RcLkd0dDTi4uKQkJCAsWPHwtvbW6MIYBgGVlZWsLKy6lWEA7dBoj8KCpVKhcLCQhQUFGDkyJEIDAwc0rtpOxMIBPxrCnQUsunp6WhvaodAIECzomN0lsumUy+qBzObzhDkcjnefvttfPTRR7j99tvx22+/GWw6tC9KSkq0Ci9PT0/U19ejpaVF5+YKoVCIJ554AnfffTfa29vx3nvvISoqChcvXsSIESMGq+lDBo3AEWJEvvnmG6Snp+PJJ59EQECAoZtjlJRKJbKysvjF3KmpqUhPT4ebm5vGKJ2ubDpduA0S6uu5WJbVmvbr7Y5IqVSKjIwMAB2jFVwRMxx1LmR9/QIwb2cGLM0E+O7hSDQ3N2u8/oOdTTfY0tLSsGTJEtTX12Pz5s2YM2eOyRWrlpaW2LBhA5YtW8bf9t133+G+++5DQ0ODzr93hUKh8Ttsb2/HqFGjMHv2bHz44YeD0ewhZWi8GwgZAo4ePYoXX3wR1dXVmDFjBhVwXRAKhYiMjERkZCQWLVrEZ9OdPn2aH6n74osv+Gw69aJu1KhRWiNg5ubmcHNz40c/WJbV2HF55cqVXmXTKZVKXLlyBcXFxfD394efn9+wnR4EAIlEgszMTABAfHw8/8Fuay5EY7sSMiULGxsb2NjY8KMwnbPpSkpKBjSbbrC0trZi1apV2Lp1K+6//358+OGHGkHXpsTZ2Rm1tbUat9XW1sLc3LzL4ww7F+Dm5uZITExEenr6gLVzKKMCjhAjUFNTg4ULF+KTTz7BfffdZ+jmmBSGYWBra4ubb74ZN998M4COIqy4uJgv6Hbv3o2XX34ZZmZmiI2N1Sjq3NzcNIoAhmH4gsLLywuAZjZdQ0MDioqK+Gw69YKuvb0dWVlZEIvFSExMhI2NjUFeE2OgVCqRn5+PkpISnYWsg6UIje1KNLQq4G6rufNUKBTC0dFRYz0rl00nkUhQVlaGy5cv89l06vl0xnhCAcuyOHbsGH8I+6+//oqpU6eaVPHZWVxcHFJSUjRuO3nyJKKjo3vVYSktLTWpqWNjQgUcIUZg4cKFWLRoERITEw3dlCGBYRj4+vrC19cXCxYs0Mim46ZdV61ahZycHPj4+GjEmIwZM0Zr/ZVIJIKTkxO/+aBzNl1paSkkEgkAwMrKCk5OTmhtbYVYLB6WsRh1dXXIzMzstpCdEuiIxnYFzAT6FTEWFhawsLCAu7s7AO1sury8vBvKphsoUqkUr7zyCr777js8+eST2LhxIywtLQ3Wnv7y1FNPYfbs2fjzzz8xbdo0nD59Gj/99BM2b97Mf89///tfrFmzhs95W79+PRYuXMh3jD777DP8/fff+PHHHw31NEwaFXCEGNgHH3yA+vp6rFixAiUlJYZuzpDEMAzEYjFfqAEdRVh9fT1SU1ORnJyMY8eOYdOmTXw2nfoJEp2z6RiG4QsKgUCAiooKODo6wtfXlx8pqqysNJlsuv4il8uRm5uLiooKBAUFYeTIkV2OMi2Icb+hnyUQCGBrawtbW1t4e3vzP58bKa2rq0NBQYFWNt1gRcmwLItff/0Vzz//PBwdHXHs2DGMGzduQH/mYLr99tuxfv16zJo1C46OjqitrcVzzz2HRx99lP+euro6ZGRkQKVSAQBCQ0Nx0003obW1lX9vbN++HXPmzDHU0zBptImBEAM6c+YMZsyYgdTUVPj7+6OwsBD+/v44cuQIbrrpJkM3b9jhsulOnTrFR5lcuHABtra2GqN08fHxaGlpwQ8//IDRo0cjJCQEI0aM0CoK1LPpuI0SXDYdN+3n4OAwJHZcVldXIysrC9bW1ggPDzeKUabOUTJSqZTPplN//fs7SqampgbPP/88fv/9d7z44ot48803h1Tmn7qWlhZcvXoVHh4eWmvf6uvrcfXqVa2g3rKyMohEogGdOlUoFMjKykJUVNSA/QxDowKOEAO64447UF1dzQfcSiQSfP7557j//vtx22234ZFHHjFwC4c39Ww6buqVy6YTCARwc3PDCy+8gAkTJiAyMhIikajHbLqWlhaNBfqGyqbrLzKZDNnZ2aipqemykDUmXWXTWVlZafwObGxsej1SyrIsdu/ejeXLl8Pf3x9fffXVkC4gjNnixYthYWExpHe30hQqIT2IjIzEqlWrcO+992rcvnbtWiQlJWHatGl9fuyHHnpII5Wc60/Z2NjA2tq6z49L+kfnbDqWZTF//nw0NTVh4cKFEAgE2L9/P9avX89n03HTrgkJCfD29tbaIGFtbQ1ra2uDZdP1F5ZlUVFRgezsbDg4OCApKckkDp/vnE0HdBSh3OtfVVWFvLw8rWw6boNEV8Xp1atX8cwzz+DkyZNYtWoVXnrppWGV+Wds2traDN2EAUcjcIR0oampCVlZWUhISMDhw4f5HY5Ax/C8vb09Nm3ahKeffrrffiZNoRq/vXv3YsKECXB2duZvUyqVyMzMREpKCv9fRkYG3N3dNcKGY2Nj9Yq+UN8gwY3Wcdl03JRfX7Lp+ktbWxuysrIglUoxatQorZ28pq5zlIxUKkVjYyMfkfHTTz8hMTEREyZMgK2tLb788kusXr0aMTEx2LZtGwIDAw39FIa9p556Cu3t7di+fbuhmzJgqIAjpAuHDx/GPffcA4lEgnvuuQc333wzpkyZgqioKLS1tWHHjh2YPn06/P39++1nUgE3NLAsi8bGRj6bjpt6raysREREBOLi4vhRutDQ0B5HajoXFFzYrb7ZdP35vK5evYrc3Fy4uroiJCRk2Oyy5bLpSktLsXz5cly6dAl1dXWwsLCAUqnEggUL8MorryA8PNyoRkqHOrlcjmXLlmHkyJFYsWIFf/vSpUtRXV2N//znPwZs3cCiKVRCunDLLbfgsccew759+zBr1iwkJyejrKwMUVFR+P333/liqz85Ojri7bffphBfE8cwDOzs7HDLLbfw6xvVs+mSk5Px7bff8tl0cXFxfFHXn9l09vb2sLKy6pfRsebmZmRlZaG1tRVRUVFwcXG54cc0JerZdL/88gvef/99bNiwAaNGjcK4ceOQkZGBhIQEmJmZYezYsUhMTMSUKVMwffp0g7a7paUFdXV18PDw0Pski77cx1DMzMzg7++PV199Fe3t7Vi9ejWAjpDgoT6NSiNwhHRj/PjxCAsLw7Zt2zRuf+SRR1BQUIDjx48D6JhW27ZtG3744QeUlZXB1dVV51mAQ1lubi4++ugjrdtff/11OqxaB5ZlIZPJcPHiRX7aNTU1Fbm5ufD19dUo6KKjo7tdf8U9XltbG6RSKRoaGvgdl9yaL/X1XL0ZNVOpVCguLkZ+fj68vLwQFBRk9B/qA+nixYtYvHgxysvL8cEHH+D+++/nfy8KhQLp6el8gLRIJMKXX35pkHaqVCq8+OKL+Pzzz/ki/sMPP8RDDz3Ur/cxFps3b8ayZcuwfPlyvPXWW3j99ddx5swZ7N+/39BNGzDD911ISA/kcjnOnTuHhQsXan0tOTkZs2fP5v99+PBhHDx4EIGBgbCxsUFJSQmmTp2KrVu3DpuRiqtXr2LLli346KOPNKaQjDEZ3xgwDANzc3O+SHv22Wf5bDrunNejR49i48aNaGxsxOjRozVOkAgICNDKprO0tISlpaVG2G1TUxM/7drbbLrGxkZkZGRAqVQiLi7OZI996g/t7e1Yu3YtPv30U8yZMweHDh3SWAcJdAQ+R0dHIzo6GosXLzZQSzt89NFH2LlzJ9LS0hAVFYUdO3Zg4cKFCA8PR1xcXL/dx1g8++yzsLS0xJNPPgmZTAZbW1u0trYaulkDikbgCOnC6dOnMXbsWJw/fx5jxozhb6+vr4ezszO+//57zJ07FwCQlJSEiooKnDhxAt7e3qiqqkJ8fDwiIiJgZmaGY8eOgWEYzJo1Cx9//PGQ/CA8evQobr75Zsjl8mE9QtPfVCoV8vLy+KnXtLQ0XLhwAXZ2dnw2HRc67ODg0ON0aedsOolEApVKpRF2a2tri7KyMhQXF8PX1xf+/v7DekflyZMn8cwzz6C1tRWffvop7rjjDqPftBESEoI77rgDH3zwAX9bVFQUkpKS8O9//7vf7mNsdu3ahUceeQTu7u7w9vbWOu5rKKGrLCFduHDhAiwtLREZGalxe2pqKliW5Y+9kslkOHfuHDZu3Mgnwru5uWHcuHH4+eef8fXXX+OXX35BRUUF7rrrLixZsgTffvut1s+rr68f8EXog2Ht2rWQy+UIDw/H/PnzaQTuBgkEAoSEhCAkJAQPP/wwH0579uxZfup1165dKCoqQnBwsMYona5sOjMzM7i4uPAjw1w2HbfbMj8/Hy0tLWAYBg4ODhAIBGhoaIC9vf2wK8xbWlrw2muvYefOnXjkkUfw/vvvm8T5thKJBLm5uUhKStK4feLEiV0WNH25z2CpqqqCWCzWq+P7wAMPwNLSEvfdd9+Qn/2grTKEdKGhoQHOzs5aBVVKSgpGjBjBF2vnz59He3u7RswIABQXF2POnDlYsGABGIaBp6cn5s+fjxMnTmh831dffQVPT084OzvD2toac+fORWlpqV5tbGtrw59//mk0UwWBgYGQyWQQiURYs2YNRo8ejaqqKkM3a0hhGAZWVlaYOHEiXnrpJfz3v//FlStXcPXqVbzzzjsYOXIkfvnlF9x+++0YMWIEpk+fjuXLl+PHH39ESUkJOk+6cNl03MaJtrY2BAQEIDY2Fq6urmhqakJmZiaOHDmCkydPIiMjA6WlpWhsbOSPSBpqWJbFH3/8gbi4OBw7dgwHDhzAF198YRLFG9BxEgQArSleFxcX/mv9cZ+BVl5ejjvvvBPu7u5wdXXFunXr9LrfPffcg9WrVw/5TQxUwBHShdmzZ0OhUCApKQlr1qxBWVkZgI71b+pnGqakpMDGxgYRERH8bTKZDOfPn9fagVZZWQlHR0f+39988w0WLVqEhx9+GE1NTaiqqoKtrS1mzJgBhULRYxt37NiB2bNno7m5+Uaf7g2LjIxEeno63n77baxZswbnz5+HUqnEa6+9ZuimDXlcB2HOnDl45513cOTIEdTV1SE5ORkLFy5ES0sLNm7ciPDwcAQHB+O+++7De++9h+PHj6OpqQk///wzdu7cCalUinHjxiEwMBBOTk7w9fXF6NGjMWnSJEyePBlBQUEQi8WoqKhAWloajh49itOnTyM3NxdVVVVD4gOzvr4ejz/+OBYsWIB58+bh0qVLuOmmm4x+ylQdt55RLpdr3C6Tyboc4e/LfQaKUqlEc3MzbrnlFsTGxuLKlStYs2YNVq5cqXcsiI+Pj8nPZvRkeI2HE9ILQUFBKCgowB9//IETJ07wF7bU1FS88sor/PclJydj7NixGovAuVE5bpqVk5qaipiYGP7f69evx9SpU7Fhwwb+ts2bN8PR0RGHDx/uMoKgoqICr7zyCk6cOIEZM2ZopMobSufpCisrK9xzzz345ZdfDNSi4U0oFCIqKgpRUVF44okntLLpUlJSsHnzZlRXVwMAxo0bhwcffBDW1tY6s+nMzc3h5ubGn1/JZdNxO17z8/MNkk3XX1iWxY8//oiXX34ZHh4e+Pvvv41+4X5XRowYAaFQiIqKCo3bKyoq+JmD/rjPQFAoFJg8eTJEIhEmTpyINWvWAABee+01XLlyBUuXLsW0adN6nB6tqanhI3eGKhqBI6QbFhYWuOuuu7Bx40b4+voC6Nhxqr6t/vTp01qFWnJyMmxsbBAeHs7fplAocPbsWX70Lj8/H5cvX4ZAIMCuXbuQl5cHoOMYLTc3N+Tm5nbZLpFIBFtbWxQVFSEvLw9OTk6YPn260U1ptbe36zWSSAaeejbdihUrsHHjRggEAkyZMgUfffQREhMTsWvXLkyePBne3t6444478K9//Qu//vorKisrdU692tjYwNvbG+Hh4UhKSsLNN9+MyMhI2NnZoaGhARcvXsSRI0eQnJyMrKwslJWVobm5WeuxDK2yshILFizAU089hSVLluDMmTMmW7wBHcX2uHHjcODAAf42pVKJgwcPagSE19TUoLi4uFf3GWgikQhJSUk4ceKExqwGAGzatAlisRjLli3r9jGOHj2Kd955B0uWLBnIphoc7UIl5AY1NjZCJpNprB154IEHUF5ejsOHD/O3nTlzBvHx8Thz5gxiY2ORmZmJiIgIrFy5kt9l2NjYiISEBBw8eBD/93//hwcffLDLn3v77bdDqVTiwIEDaG5uRnFxMcLCwgb0uXbnyJEjmDBhAp8xdvXqVcTExGDevHn49NNPDdYuoptCocCvv/6KWbNm8dOD6tl06idI5OTkwM/Pj9/1mpCQgDFjxuidTae+47WxsVHjPFIun84QJzqwLIvt27dj5cqVCA0NxVdffWXQ91B/+uOPPzBz5ky88847mDx5Mj755BPs378f6enpfMzMs88+i/379/OdR33uMxi4sGg3NzecPHlS42t79+7F7Nmz8b///Q933nmnzvt/+umnCAwMxG233TYYzTUYKuAIGQAlJSWor6/H6NGj+ds+/fRT/POf/4REIoFIJIJSqYS3tze2bNmCe+65BwBQXV3NZ4AtXLgQQUFBOh8/NzcXoaGh2LdvH26//fZBeU492bJlCz7++GNER0cDAA4cOICkpCTs3r17SMamDBcsy6Kurk7jnNe0tDQ0NTUhKiqKjzDRlU2ni0qlQmNjI3+KhEQi6VU2XX8pKirCkiVLcPbsWaxevRpLly41iane3vj111/xwQcfoLy8HBEREVizZg1GjRrFf3316tU4fvw4Dh06pPd9+lNLSws+/fRT7N+/HzY2Nnjssccwa9YsAB0dQi5L87HHHtO433333Yfy8nIcO3ZsQNplKqiAI2SQ5Ofn49y5c5g3bx5/2y+//ILHHnsMb7zxBubOnQsPDw+Ul5ejvr6eL4R0Wbp0KQ4cOIDs7GyjWlxdWVmJEydOQCaTITw8vNvnQEyXSqVCbm4uv5YuNTUVFy9e5LPpuBgTLvy3P7Lp7O3tYWFhccN/70qlElu2bMG6deswfvx4fPnll/zyCNL/pFIpzM3NteKEysrKMHXqVAQEBOCWW27BH3/8gQMHDmDt2rV44403AABPPvkkvv/+e2RlZcHDw4O/b319PczNzYfdaTedUQFHiIGdPXsW77zzDv7++280NjYiLCwMa9eu7XIDg1QqhZeXF9566y0sXbp0kFs7vPz22284fPgwrKys8NBDDyE4ONjQTTJK6tl06lOvxcXFCAkJ0Zh6jYiI0Mqm0/V46tl0DQ0NaGpqgpmZGezs7ODg4MBPvfYmmy4rKwuLFy9GQUEBNm7ciEcffdSoOkBDjUKhQHh4OBYsWIC1a9dqfO2uu+6CnZ0ddu3axd/28ssv4/3338fx48cxceJESCQSREREIDExEXv27Bns5hs9KuAIMTHcGpD6+nqamhwgCoUC8+fPR1paGp566ilYWVnh22+/xY4dO7SCnYluLMuivLycXxKQmpqKM2fOQKlUIiYmhj/rNSEhAV5eXj0WUkqlEo2NjRqjdG1tbbC2ttYYpbOxsdF6LLlcjg0bNuDDDz/EjBkz8Pnnn/O7acnAevfdd7Fv3z4cOXKEnxJXKBSwtLTE7t27NWYklEolQkJCMHr0aPz0008AgP/973+YN28eLl68iNDQUIM8B2NFBRwhJiY3NxdjxozBww8/jLlz52L8+PGwtrY2dLOGlHfffRdr165FRkYGRo4cCaAjNLm5uVkr6JToT6FQIDMzky/oUlJSkJmZCQ8PD8TFxSEhIQHx8fGIjY2FtbV1j0Vde3u7RkEnlUpRVFSErVu3IiYmBuPGjYOjoyPefPNN1NfX46OPPsK8efNo1G0QKZVKVFZW4uOPP8b69eshFAqhVCphbW2NVatWYcWKFRrf/+qrr+KHH35Afn4+f1tJSQn/PiTXUQFHiAnKzc3F9u3bcfLkSezatQsjRowwdJOGlMDAQMyYMQNbtmwxdFOGNC6bLi0tjd8gkZqaiurqaoSHh/PTrvHx8Tqz6XQ9XlFREX788UekpKTgr7/+QkNDA6ysrDB9+nRMnDgRiYmJiI2NHfbrpwZKW1sbLCwsNG67dOkS4uLisG7dOj5Dc/78+fjrr7+QlZWlMZPw4osv4vTp0zh+/PhgNtskUQFHCCFqJBIJHBwcsHPnTiiVSpw5cwYjRozAfffdB39/f0M3b8hTqVQoLi5GcnIykpOTkZaWhnPnzkEsFiM2NlZjk4Srq6vWaBrLsjhx4gSeeeYZqFQqvPfee7C3t0dqaiq/6aKmpgZjxozB448/jqefftpAz7RrNTU12LdvHyQSCcaPH4+xY8d2+/3/+c9/UFhYqHFbSEgIv7t9sOzduxdLly7FuXPn0NTUhMWLF2PFihWYOHEiVq1ahU2bNuHChQsIDg5Gbm4uYmJiMHbsWOzevRseHh7466+/MGvWLOzatQszZ84c1LabIirgCCFETWlpKUaOHIng4GBER0fzh3nv2bMHBw4cwJQpUwzdxGGFy6a7cOGCxihdXl4efH19NQo6Ly8v3H///UhPT8cTTzyBd999F5aWllqPxxWIjo6OXW4WMpQLFy7glltuwejRo+Hn54c9e/Zg6dKlWL9+fZf3mTZtGpqbmzX+NiMiIjQCxwdCfn4+Dh06hCeffBJAR+EZFhbGF2jPPfccli9fDpFIBJlMhpiYGLi6uuLIkSNgGAaHDh3C/fffD6lUCjc3N7S1tWHLli2YP3/+gLZ7yGAJIYTwJBIJC4C97bbbNG6fPXs2O3nyZAO1iqhTqVRsTU0Nu2/fPnblypXsbbfdxlpbW7MAWLFYzP7888+GbmKfjRs3jp0zZw7/73379rEMw7Dnz5/v8j5Tp05lX3311cFonobPP/+cFQgEbHJyMsuyLFteXs5GRUWxANgvvvhC6/tPnTrFCgQC9rPPPuNva2pqYn///Xf24MGDbEtLy6C1fSigo7QIIUSNnZ0dfHx8NEKYASAqKoo/dogYFsMwcHZ2xh133IE1a9bw022LFi1CSUkJZs+ebeAW9k1paSmSk5Px+OOP87fdcccd8PLywg8//NDtfbOysvDhhx9i9+7duHr16kA3FUBHTtuaNWvg6+sLuVwOBwcHLFu2DHfccQfeeustNDU1aXz/uHHjsHTpUrz66qsoLS0FAFhbW2PGjBm49dZbtUZLSfeogCOEkE4efPBBHDx4EDKZDEDH7smDBw8iPj7ewC0jutxxxx24ePEitm7datLxIFlZWQCgFZcREhLCf00XhmFQWVmJvLw8bN26FSEhIdixY8eAtpX7uStWrMDcuXOxdu1aWFhY4PHHH8fnn3+O+vp6vPbaa1r3Wb9+PZydnY1y7aGp0T8BkRBChokVK1bg5MmTiIiIwNixY3HmzBmIRCK8//77hm4a0aGrI+eMwa5du1BSUtLt9yxfvhwA+BEre3t7ja87ODhojWape++99zRGjDds2IDFixfjlltuGfD4DYZhMHv2bLzxxhuYP38+oqKi4O3tjY0bN+Lpp5/GfffdhwkTJgDo6AhZW1tj+/btaGtrG9B2DQe0iYEQQnRgWRZ//fUXioqK4OPjg/Hjx/cq9Z8QAPj888+1doh29s477wAADh48iNtuuw35+fkICAjgvz5t2jTY29vrfRpBU1MT7Ozs8O233+K+++7rc9u70tLSgpKSEvj5+cHc3BxKpRKJiYkQCAQ4deoUhEIhWJbF1KlTUVRUhOPHj+Pvv//G8uXLcfLkSY1jsUjf0dWIEEJ0YBgGkyZNwqRJkwzdlD47d+4cNmzYoPNrb7zxBp0qMQgWL16s9/dyU6d5eXkaBVx+fn6vCjGBQACGYbodtesLuVyO5cuXY+fOnYiMjMRjjz2Ghx56CEKhEF999RXi4+PxwQcf4OWXXwbDMNixYwcmT54Mb29vjB07Fjt27KDirR/RCBwhhAxRZWVlWoGou3fvxsGDB1FWVgZHR0cDtYx0JSYmBuHh4fwZoUeOHMEtt9yClJQUJCQkAAC+/fZbWFhY4J577kFdXR1aWlrg7e3NP8ann36KZ599FllZWf16/NSdd94JANi5cyecnJy0vv7GG2/g/fffx6VLlxAYGAgAaG1tRXV1NXx8fPqtHaQDFXCEEDKMhISEICEhAd98842hm0J0OHXqFG699Vbceuut8Pf3x86dO7FgwQKNU0FuuukmODg44Oeff0Z5eTluvfVWjBkzBoGBgcjMzMS+ffuwdu1a/POf/+y3dp08eRI33XQTJBIJv1u0tbUV+fn5CAoKgoWFBdrb2xETEwN3d3ccPnyYjiwbYFTAEULIMHH8+HFMmTIFR48epUBiI1ZcXIw9e/ZAKpUiKSlJK2z43//+NywtLfmgXplMhr179yIrKwseHh6YOnWqxhRsf7h48SLGjBmDzz77DM7OztizZw/+97//obW1FV5eXjh9+jTc3d1x8uRJTJs2DSdPnkR0dHS/toFoogKOEEKGiUceeQTJycnIzs42dFOIEZNIJNi7dy8aGhowdepUhIeHAwBWrlyJL774Av7+/pg3bx7uvfdemJubIywsDJs2bcKiRYsAALW1tXB2djbkUxgWqIAjhJBhQCqVwtPTE6tXr8bLL79s6OYQI/Xzzz/j8ccfR0BAAKqqqlBSUoKVK1fizTff1Pn9VVVVCA4Oxp9//tnjma2kf1GQLyGEDAO7d++GXC7HI488YuimECOVlpaGhx56CHv27EFqairy8/Px6quvYvXq1VprJlUqFfbt24dJkyZh2bJlVLwZAI3AEULIMJCQkAA/Pz/897//NXRTiJFatGgRampq8Msvv2jcPnPmTKSnp6OoqAgCgQBPPPEEfvvtN/j5+eHll1/GnDlzDNTi4Y1y4AghZIi7dOkS0tLSsH79ekM3hRixmpoatLe3a93+/PPPY8aMGcjKykJERAS2bNkCMzMz2mVqYDSFSgghQ9y2bdvg5+eHadOmGbopJk8mk2H37t38Aez6UKlU+Oyzz/j7fPDBB1AoFAPc0u7b8/vvv2Pbtm0aG1qSkpJw6NAhFBQUaHz/iBEjAIA/iUQsFlPxZgRoCpUQQoa4/fv3w9nZmdYp9YPY2FiEhITA2toae/bsQUNDQ4/3eemll7Bz5068//77MDMzw0svvYSZM2di69atA9/gTq5evYrZs2ejsrKS//dLL72EjRs3QiKRIDQ0FP7+/jh06BCsra0BAC+++CKOHTuGM2fODHp7SdeogCOEEGIS0tPTsX37dhQVFcHR0REzZ87E3XffPaijQRKJBPb29ti8eTPeeOONHgu4iooKeHt745tvvuGPw9q3bx9mzZqFnJwcBAUFDUKrO0J3MzMz8cILL2D69Ol4/fXXAQCffPIJnnvuObz77rt4+eWXcezYMdxxxx1wdnbGrFmzkJmZidLSUuzfvx/+/v6D0laiH5pCJYQQYvRSUlIQFxcHqVSKe++9F0FBQXj44Ye7jLcYKPb29r36/qNHj0KpVPLHUAHAbbfdBrFYjEOHDvV387r05ptvYtq0aUhPT8eKFSvAMAwYhsGyZcvwzDPPYPXq1ZBIJJgyZQouXbqEf/zjH2hqasK9996LCxcuUPFmhGgTAyGEEKP3/fffIzAwEP/+97/52+rr67Fr1y6sXr3agC3rXlFREezs7GBjY8PfZmZmBldXVxQVFQ1aO5YvX44dO3ZAKpWi88TbihUrsGXLFhw5cgR33303/P398fbbbw9a20jfUAFHCCHE6I0aNQrbt29HXV0dnJycwLIssrKy+FMC+urWW29FY2Njl18PDAzkD5bvC7lcDnNzc63bLS0tIZfL+/y4veXo6IgtW7Zg3rx52LVrFx5++GH+a56enrCwsEBbW9ugtYfcOCrgCCGEGL1FixahoaEBkZGRCA8PR1FREaKjozVG5Pri7bff7nZHqJWV1Q09vpOTE+rr68GyrMZaPUMcNzV37lzcc889eOGFF5CUlITg4GAAwP/+9z+oVCpMmjRpUNtDbgwVcIQQQoxeRkYGPvzwQ9x+++2YPn068vPz8d577+HHH3/kz+Dsi/j4+H5spbbY2FgoFAqcP38eMTExAID8/HzU1dXx/x5MW7ZsQXh4OOLi4vDoo4+itbUVe/bswfbt2+Hl5TXo7SF9R5sYCCGEGL3XX38dYWFh2Lp1K+6991689tprePPNN7F06VK0trYaunkaZsyYgS+++AIAkJiYiMjISKxbtw4qlQoAsHr1avj7++OWW24Z9LZ5eHjg/fffR2NjI4qLixEeHo709HTcf//9g94WcmNoBI4QQojRKy8vR2xsrMZtQUFBaG1tRX19PSwtLQelHa+++iqOHTuGyspKNDU1Ydy4cQCAr7/+mp+SPH36ND+yxzAMvv/+e9x9993w8PCAUCiEhYUFfvzxR5iZmQ1KmztbuHAhdu/ejfT0dHz77beD9tqR/kU5cIQQQozes88+i7179+Ls2bNwcXGBSqXCww8/jGPHjqGkpGTQ2pGTk4O6ujqt20ePHs2vlztz5gzc3d3h7e3Nf51lWVy+fBkqlQphYWEQCAw7AVZUVITIyEg89dRT2LRpk0HbQvqGCjhCCCFGr6GhAXPmzOHXkhUWFkKhUGDXrl20+L6PPvnkE7zwwgvIyMhAaGiooZtDeokKOEIIISYjLy8PRUVFcHZ2Rnh4OMRisaGbZLJUKhUOHjyIGTNmGLoppA+ogCOEEEIIMTG0C5UQQgghxMRQAUcIIYQQYmKogCOEEEIIMTFUwBFCCCGEmBgq4AghhBBCTAwVcIQQQgghJoYKOEIIIYQQE0MFHCGEEEKIiaECjhBCCCHExFABRwghhBBiYqiAI4QQQggxMVTAEUIIIYSYGCrgCCGEEEJMDBVwhBBCCCEmhgo4QgghhBATQwUcIYQQQoiJoQKOEEIIIcTEUAFHCCGEEGJiqIAjhBBCCDExVMARQgghhJgYKuAIIYQQQkwMFXCEEEIIISaGCjhCCCGEEBNDBRwhhBBCiImhAo4QQgghxMRQAUcIIYQQYmKogCOEEEIIMTFUwBFCCCGEmBgq4AghhBBCTAwVcIQQQgghJoYKOEIIIYQQE0MFHCGEEEKIiaECjhBCCCHExFABRwghhBBiYqiAI4QQQggxMVTAEUIIIYSYGCrgCCGEEEJMDBVwhBBCCCEmhgo4QgghhBATQwUcIYQQQoiJoQKOEEIIIcTEUAFHCCGEEGJiqIAjhBBCCDExVMARQgghhJgYKuAIIYQQQkwMFXCEEEIIISaGCjhCCCGEEBNDBRwhhBBCiImhAo4QQgghxMRQAUcIIYQQYmKogCOEEEIIMTFUwBFCCCGEmBgq4AghhBBCTAwVcIQQQgghJoYKOEIIIYQQE0MFHCGEEEKIiaECjhBCCCHExFABRwghhBBiYqiAI4QQQggxMVTAEUIIIYSYGCrgCCGEEEJMDBVwhBBCCCEmhgo4QgghhBATQwUcIYQQQoiJoQKOEEIIIcTEUAFHCCGEEGJiqIAjhBBCCDExVMARQgghhJgYKuAIIYQQQkwMFXCEEEIIISaGCjhCCCGEEBNDBRwhhBBCiImhAo4QQgghxMRQAUcIIYQQYmKogCOEEEIIMTFUwBFCCCGEmBgq4AghhBBCTAwVcIQQQgghJoYKOEIIIYQQE0MFHCGEEEKIiaECjhBCCCHExFABRwghhBBiYqiAI4QQQggxMf8PsHUVmam54/oAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_view = view_3d_dropdown.value\n",
    "_t_now = t_3d_slider.value\n",
    "_p = np.sqrt(omega_demo**2 - k_demo**2)\n",
    "\n",
    "# the formula from 3.1 for y, and its derivative for v\n",
    "_t_all = np.linspace(0, 8, 800)\n",
    "_y_all = damped_solution(_t_all, k_demo, omega_demo)\n",
    "_v_all = -(omega_demo**2 / _p) * np.exp(-k_demo * _t_all) * np.sin(_p * _t_all)\n",
    "_done = _t_all <= _t_now + 1e-9\n",
    "_y_now = damped_solution(_t_now, k_demo, omega_demo)\n",
    "_v_now = -(omega_demo**2 / _p) * np.exp(-k_demo * _t_now) * np.sin(_p * _t_now)\n",
    "_a_now = -2 * k_demo * _v_now - omega_demo**2 * _y_now\n",
    "\n",
    "_end_on = _view.startswith(\"end on\")\n",
    "_box = (1, 1, 1) if _end_on else (2.2, 1, 1)\n",
    "# one unit of t, y and v, measured on screen, so that every arrow can be drawn the same length\n",
    "_unit = np.array([_box[0] / 8, _box[1] / 2.2, _box[2] / 3.6])\n",
    "\n",
    "def _arrows_3d(t, y, v, length):\n",
    "    \"\"\"Arrow in the direction (1, v, a) at each point, all the same length on screen.\"\"\"\n",
    "    a = -2 * k_demo * v - omega_demo**2 * y\n",
    "    d = np.array([np.ones_like(y), v, a]) * _unit[:, None]\n",
    "    d = length * d / np.linalg.norm(d, axis=0)\n",
    "    return d[0] / _unit[0], d[1] / _unit[1], d[2] / _unit[2]\n",
    "\n",
    "# a grid of points (t, y, v), with an arrow at each one\n",
    "_Tg, _Yg, _Vg = np.meshgrid(np.arange(0.5, 8, 1.0), np.linspace(-1, 1, 7),\n",
    "                            np.linspace(-1.5, 1.5, 7), indexing=\"ij\")\n",
    "_Tg, _Yg, _Vg = _Tg.ravel(), _Yg.ravel(), _Vg.ravel()\n",
    "_dT, _dY, _dV = _arrows_3d(_Tg, _Yg, _Vg, 0.12)\n",
    "\n",
    "_fig3d = plt.figure(figsize=(9, 6))\n",
    "_ax3d = _fig3d.add_subplot(projection=\"3d\")\n",
    "_ax3d.set_proj_type(\"ortho\")\n",
    "if _view.startswith(\"tilted\"):\n",
    "    _ax3d.view_init(elev=22, azim=turn_3d_slider.value)\n",
    "elif _view == \"side on: position against time\":\n",
    "    _ax3d.view_init(elev=90, azim=-90)    # look down the velocity axis\n",
    "elif _view == \"side on: velocity against time\":\n",
    "    _ax3d.view_init(elev=0, azim=-90)     # look along the position axis\n",
    "else:\n",
    "    _ax3d.view_init(elev=0, azim=0)       # look along the time axis\n",
    "\n",
    "_ax3d.quiver(_Tg, _Yg, _Vg, _dT, _dY, _dV, color=\"#2e86c1\", linewidth=1.4,\n",
    "             arrow_length_ratio=0.35, alpha=0.9)\n",
    "_ax3d.plot(_t_all, _y_all, _v_all, color=\"lightgrey\", linewidth=1.5)\n",
    "_ax3d.plot(_t_all[_done], _y_all[_done], _v_all[_done], color=\"black\", linewidth=2.5)\n",
    "_dt_now, _dy_now, _dv_now = _arrows_3d(np.array([_t_now]), np.array([_y_now]),\n",
    "                                       np.array([_v_now]), 0.3)\n",
    "_ax3d.quiver([_t_now], [_y_now], [_v_now], _dt_now, _dy_now, _dv_now, color=\"#e67e22\",\n",
    "             linewidth=4, arrow_length_ratio=0.3, zorder=10)\n",
    "_ax3d.scatter([_t_now], [_y_now], [_v_now], color=\"black\", s=40)\n",
    "\n",
    "_ax3d.set_xlim(0, 8)\n",
    "_ax3d.set_ylim(-1.1, 1.1)\n",
    "_ax3d.set_zlim(-1.8, 1.8)\n",
    "_ax3d.set_yticks([-1, -0.5, 0, 0.5, 1])\n",
    "_ax3d.set_zticks([-1.5, -1, -0.5, 0, 0.5, 1, 1.5])\n",
    "_ax3d.set_xlabel(r\"time $t$\", fontsize=11)\n",
    "_ax3d.set_ylabel(r\"position $y$\", fontsize=11)\n",
    "_ax3d.set_zlabel(r\"velocity $v$\", fontsize=11)\n",
    "# in a side-on view, hide the axis we are looking along\n",
    "if _view == \"side on: position against time\":\n",
    "    _ax3d.set_zticks([])\n",
    "    _ax3d.set_zlabel(\"\")\n",
    "if _view == \"side on: velocity against time\":\n",
    "    _ax3d.set_yticks([])\n",
    "    _ax3d.set_ylabel(\"\")\n",
    "if _end_on:\n",
    "    _ax3d.set_xticks([])\n",
    "    _ax3d.set_xlabel(\"\")\n",
    "_ax3d.set_box_aspect(_box)\n",
    "_ax3d.set_title(rf\"$t = {_t_now:.1f}$:   $y = {_y_now:.2f}$,   $v = {_v_now:.2f}$,   $a = {_a_now:.2f}$\",\n",
    "                fontsize=12)\n",
    "_fig3d.subplots_adjust(left=0, right=1, bottom=0.02, top=0.92)\n",
    "_fig3d;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "TRpd",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>What to notice</b></summary>\n",
    "\n",
    "\n",
    "- Side on, the 3D curve looks exactly like one of the two plots from 4.4: each of those plots is the same curve seen from the side.\n",
    "- Side on at position against time, every point has a whole **fan** of arrows: the arrows for every value of $v$, stacked behind each other. Knowing $t$ and $y$ is not enough to know which way $y$ is heading; you also need $v$. That is Section 4.2 in one picture, and it is why we keep track of the second number.\n",
    "- End on, time disappears and you see velocity against position. The arrows from every time now land exactly on top of each other, because the ODE doesn't contain $t$: the rule for moving is the same at every time. The curve follows them in a spiral into $(0, 0)$. Each turn is one full swing, and the spiral shrinks because friction takes energy out. With no friction it would be a closed loop, going round for ever.\n",
    "- Chapter 6 of the notes calls a plot of velocity against position a *phase portrait*. It shows how $y$ and $v$ move together without needing the clock.\n",
    "\n",
    "</details>\n",
    "\n",
    "### 4.5 The loop\n",
    "\n",
    "Doing those three lines 80 times by hand (800 times with $h = 0.01$) is no fun, so we put them in a loop, just like `follow_arrows` in Week 4. Read it line by line:\n",
    "\n",
    "- `h` is the step length: the total time divided by the number of steps.\n",
    "- Three lists hold the times, positions and velocities, each starting with its starting value.\n",
    "- Each time round the loop it reads the latest `t`, `y`, `v`, does the three lines from 4.3, and adds the new values to the end of the lists.\n",
    "- `acc` is a function you pass in that computes the acceleration. It is the only place where the ODE appears, so the same loop works for any second-order ODE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "TXez",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.381838Z",
     "iopub.status.busy": "2026-11-13T23:25:52.381695Z",
     "iopub.status.idle": "2026-11-13T23:25:52.386331Z",
     "shell.execute_reply": "2026-11-13T23:25:52.385370Z"
    }
   },
   "outputs": [],
   "source": [
    "def follow_two_arrows(acc, y_start, v_start, t_stop, n_steps=10000):\n",
    "    \"\"\"Step position y and velocity v forward together; acc(t, y, v) gives y''.\"\"\"\n",
    "    h = t_stop / n_steps\n",
    "    t_values = [0.0]\n",
    "    y_values = [y_start]\n",
    "    v_values = [v_start]\n",
    "    for step in range(n_steps):\n",
    "        t_now = t_values[-1]\n",
    "        y_now = y_values[-1]\n",
    "        v_now = v_values[-1]\n",
    "        a_now = acc(t_now, y_now, v_now)    # line 1: acceleration from the ODE\n",
    "        v_next = v_now + h * a_now          # line 2: new velocity\n",
    "        y_next = y_now + h * v_next         # line 3: new position, using the new velocity\n",
    "        t_values.append(t_now + h)\n",
    "        v_values.append(v_next)\n",
    "        y_values.append(y_next)\n",
    "    return np.array(t_values), np.array(y_values)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dNNg",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "First a check: with the same $k = 0.5$ and 80 steps of $h = 0.1$, the loop should reproduce our hand calculation. **This line is equation (4.17):** `return -2 * k_demo * v - omega_demo**2 * y`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "yCnT",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.387850Z",
     "iopub.status.busy": "2026-11-13T23:25:52.387706Z",
     "iopub.status.idle": "2026-11-13T23:25:52.391173Z",
     "shell.execute_reply": "2026-11-13T23:25:52.390456Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y after step 1: 0.96\n",
      "y after step 2: 0.8856\n"
     ]
    }
   ],
   "source": [
    "def acc_demo(t, y, v):\n",
    "    return -2 * k_demo * v - omega_demo**2 * y\n",
    "\n",
    "t_loop, y_loop = follow_two_arrows(acc_demo, 1.0, 0.0, 8.0, n_steps=80)\n",
    "print(\"y after step 1:\", round(y_loop[1], 4))\n",
    "print(\"y after step 2:\", round(y_loop[2], 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "wlCL",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "The same numbers as by hand: 0.96 and 0.8856.\n",
    "\n",
    "### 4.6 Loop against formula\n",
    "\n",
    "Now use 10,000 tiny steps instead of 80 and compare with the formula for any friction $k$. Notice that the loop never asks which case we are in: there is no `if`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "kqZH",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.392901Z",
     "iopub.status.busy": "2026-11-13T23:25:52.392735Z",
     "iopub.status.idle": "2026-11-13T23:25:52.395364Z",
     "shell.execute_reply": "2026-11-13T23:25:52.394719Z"
    }
   },
   "outputs": [],
   "source": [
    "k_check_slider = type('_W', (), {'value': 0.5})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "wAgl",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.397134Z",
     "iopub.status.busy": "2026-11-13T23:25:52.396977Z",
     "iopub.status.idle": "2026-11-13T23:25:52.405254Z",
     "shell.execute_reply": "2026-11-13T23:25:52.404333Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "largest gap between loop and formula: 0.0007444658105107971\n"
     ]
    }
   ],
   "source": [
    "k_check = k_check_slider.value\n",
    "omega_check = 2.0\n",
    "\n",
    "def acc_damped(t, y, v):\n",
    "    return -2 * k_check * v - omega_check**2 * y\n",
    "\n",
    "t_steps, y_steps = follow_two_arrows(acc_damped, 1.0, 0.0, 8.0)\n",
    "y_formula = damped_solution(t_steps, k_check, omega_check)\n",
    "print(\"largest gap between loop and formula:\", np.max(np.abs(y_steps - y_formula)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "rEll",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.406844Z",
     "iopub.status.busy": "2026-11-13T23:25:52.406622Z",
     "iopub.status.idle": "2026-11-13T23:25:52.595095Z",
     "shell.execute_reply": "2026-11-13T23:25:52.594246Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_fig2, _ax2 = plt.subplots(figsize=(10, 4))\n",
    "_ax2.plot(t_steps, y_formula, color=\"#1a5276\", linewidth=5, alpha=0.35,\n",
    "          label=\"formula (Section 3.1)\")\n",
    "_ax2.plot(t_steps, y_steps, color=\"#922b21\", linewidth=1.8,\n",
    "          label=\"following two arrows (10,000 steps)\")\n",
    "_ax2.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_ax2.set_xlim(0, 8)\n",
    "_ax2.set_ylim(-1.1, 1.1)\n",
    "_ax2.set_xlabel(r\"$t$\", fontsize=12)\n",
    "_ax2.set_ylabel(r\"$y$\", fontsize=12)\n",
    "_ax2.set_title(rf\"Formula vs loop,  $k = {k_check_slider.value:g}$\", fontsize=12)\n",
    "_ax2.legend(fontsize=10, loc=\"upper right\")\n",
    "_ax2.grid(True, alpha=0.3)\n",
    "_fig2.tight_layout()\n",
    "_fig2;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dGlV",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "The two curves sit on top of each other for every $k$, and the gap printed above is tiny. Chapter 6 looks at this loop properly (it is a version of Euler's method) and at how to make it more accurate."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "SdmI",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## 5. A pendulum: no formula at all\n",
    "\n",
    "The notes say SHM \"describes small oscillations of a pendulum\". Take a mass on a light rigid rod of length $l$, so it can swing above the pivot. Measure the angle $\\theta$ from straight down, positive to the right and negative to the left. The full equation is $$\\theta'' = -\\frac{g}{l}\\,\\sin\\theta .$$ Because of $\\sin\\theta$ it is **not linear**, so the auxiliary equation doesn't apply. For small angles $\\sin\\theta \\approx \\theta$, which gives SHM (4.14) with $\\omega^2 = g/l$ and the solution $\\theta_0\\cos\\omega t$.\n",
    "\n",
    "For the loop, the angle $\\theta$ plays the part of $y$, the velocity $v = \\theta'$ is how fast the angle changes, and the only new line is the acceleration. Both pendulums below are released from rest at the same angle $\\theta_0$: one moves by the small-angle formula, the other by the full equation, stepped by the loop. Drag the time slider to watch them swing.\n",
    "\n",
    "**Question:** for which starting angles do you expect $\\theta_0\\cos\\omega t$ to be good?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "lgWD",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.596785Z",
     "iopub.status.busy": "2026-11-13T23:25:52.596602Z",
     "iopub.status.idle": "2026-11-13T23:25:52.599772Z",
     "shell.execute_reply": "2026-11-13T23:25:52.598894Z"
    }
   },
   "outputs": [],
   "source": [
    "theta0_slider = type('_W', (), {'value': 20})()  # static default\n",
    "t_pend_slider = type('_W', (), {'value': 0.0})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "yOPj",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.601403Z",
     "iopub.status.busy": "2026-11-13T23:25:52.601228Z",
     "iopub.status.idle": "2026-11-13T23:25:52.619357Z",
     "shell.execute_reply": "2026-11-13T23:25:52.618544Z"
    }
   },
   "outputs": [],
   "source": [
    "g_over_l = 9.81    # g = 9.81 m/s², l = 1 m\n",
    "\n",
    "def acc_pendulum(t, theta, v):\n",
    "    return -g_over_l * np.sin(theta)\n",
    "\n",
    "theta0_rad = np.deg2rad(theta0_slider.value)\n",
    "t_pend, theta_pend = follow_two_arrows(acc_pendulum, theta0_rad, 0.0, 8.0, n_steps=20000)\n",
    "theta_small = theta0_rad * np.cos(np.sqrt(g_over_l) * t_pend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "fwwy",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:52.621020Z",
     "iopub.status.busy": "2026-11-13T23:25:52.620886Z",
     "iopub.status.idle": "2026-11-13T23:25:52.898092Z",
     "shell.execute_reply": "2026-11-13T23:25:52.897074Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VVjU0NBSGROrr66N27dq4f/8+hg0bphBz3bp18eDBgzLFNnjwYIXeZhoaGtiyZQscHBzQt29fhboDBgyArq4uDh48iJYtW0JfXx+JiYnYv38/+vbtqzAP2ru4fv069uzZg6CgIOTk5EAQBGRnZ8t/92/Kz88PBQUFGDNmDJo3b66wzdvbG//88w8aN24MAEhJSZGvNlxQUIBatWrh2LFj8l6Xr/r333+Rl5dXagxlGfoOFPZuHDVqFJ49e4b169crDEHPz8+HmlrxqQh1dfUyxVHRfHx84Ozs/NqVrDU0NMr8fK1atWqx5fn5+QBQbPuoq6sDKFxhu6SelaXt/3LblvR7ePk8JdHV1YVYLMa+ffvQoUMHeU9OsVgsH6ZOlQOTfiouNTMbU1fvwqddm6FTwxolllVWH1KsRFQ6QSaD38G9iLx9EzmpKajRpz9cupR9uFZSYACurPgFTad8CYuatUosU1Uf07US0du5d+8edHR0UK1atWK3V61atcSXzYrm4OCg8PPzBEtx5ampqcjLy1NIeJWVlZVVkRfkZ8+eAQDWr1+PnTt3QhAECIIAAAgPD4dUKkVMTEyxw0qf77to0SIsW7ZMYd+AgAAkJCQgNzcXmpqamDp1Kv766y9MmTIFQ4cOhaGhIUQiEW7evImMjAz5MTdt2oQxY8bA2dkZNWvWRNu2bTFgwAD5ELnn5/znn39w4sQJhXPGxMQAgDypmJeXV+wiLi8nE9+Wg4NDkTnbQkNDAaDYtnJxccG+ffsUyuzs7Iocw8TEBFWrVlVIwD4vfz6EuDTFXd+zZ88glUrl8/c9bzdBECCTyRAREQGgcA69K1euYMCAATA1NUXr1q3RpUsXfPrpp8Umfsti9erVmDFjBsaMGYMBAwbAxMQEYrEYs2bNUvjdv4mwsDAAwKBBg+Tzyj137do16Orqyue6W7hwIbS1teX3c6tWrbBs2TL88MMPxR67PBeoEAQBEyZMwP79+/Htt9/iiy++UNiur6+PrKysYvfNyMh46yHK79O9e/fQsGHD19YRi8VFfi9v6nlSMTMzs8i2jIwMiMVi+ZySb7P/y22rr69fYj0Ar/09WFlZ4bfffsPcuXOxd+9eNGzYEO3atcOwYcOKDHsm5WLST8Xl5hXg3B1/tK9X7bVlldWHFCsRle767yvxYNc2tJw5F7rmFjBxcnmj/XNSUxDidQF1hn362rIPWby/H66vWY5m02bBvLrilx2qdq1EVP7u3r2LOnXqFEmePFcZ5vR77nlvkueerxJZUrlMJnur8xSXtHmePBw4cCCqV69e7H7FrR768r6jR4+Wz933KjU1NcTExGDdunX49ttvFVY4LigoQFpamkL9Hj16ICIiAlevXsXly5dx9OhRrF+/Hl9++SVWrlwpP2fv3r1LTDy4uLjIexIWl1R620TTy4pry+fzgRWXPEhPTy+ScH319wsU/o5LKi/r772k37OpqWmxK71Onz5d/js2MTHB+fPnERgYiAsXLuDixYv46quvsHTpUty5c+eNe/zJZDL88MMPGDJkCDw9PRW2TZo06bVJm9d53vPq1WvNycnBwYMHMWDAAHl7HzhwAL/++ivU1NSgpqaGzz//HL///nuJSb93ndPvZdOmTYOnpyfmzJlTbF03NzccPXoU0dHR8jkvgcKViZOTk+Vz5lUWaWlpCA4OLrLwyKvKY06/59ceEhJSZFtwcDCcnJxKfL6/un+NGoqfI4ODgxXa1s3NrcTzvHyskkybNg1jx47FxYsXcfnyZRw4cADLly+Hp6cnRo8e/dp9qeIw6UdERBXmybFDcO7YBbUGDVV2KJVWdnIiQrwuoO7Iz4psM3F2Q8+1G9nLj4iKJQgCfHx8FFZifFVYWBhOnTpVpuPNnz+/vEKrdJ73hpLJZG/cM6dly5YAChNKr9s3Li4OgiAUSSqeO3cOUqm0SH11dXW0bdsWbdu2xbfffotevXphw4YNWLlyJZo1awaxWIzc3NxS47W1tS12IYTr16+X5fLe2PMk5NWrVxWSDHl5ebhz506pvaPep5YtW+LMmTNo27ZticMhX+bs7AxnZ2eMGzcOhw4dQt++fXH69GkMGTJEnpQs7nf3qpycHKSmphb53QcEBCA0NFRh9es3Oe7zBFlsbKxC+bp165CWloZ58+bJjxUaGgoXlxdfrrq4uCAwMLDEY587dw6JiYmlxlCaWbNmYe3atZg9ezZ++eWXYut07twZK1euxPnz5zF8+HB5+dmzZwGgxJWLleX+/fsQBKHUHmxSqbTMz1dbW9tiy1u2bAkdHR2cP38en3324rNgcnIy7t69i/Hjx7/2uB07doRYLMb58+fRrVs3eXlgYCBCQkIUEpedO3fGggULEBgYqNBT9+zZs5BIJGVajENXVxc9evRAjx49sHDhQlSvXh2bNm1i0q8SYdKPiIgqTEZsDLQMjZUdxgdLy9AQju24GhoRFS8wMBBpaWklzucHVK45/d7F+PHjkZmZiR07drzV/rVq1cLw4cOxYMECNGjQAO3atZNvCw4OxpEjRzBt2rRi9+3SpQvatWuHr776Cq6urgrt/ejRI1y7dg3jxo2Dm5sbDAwMsGfPHgwZMgQSiQQRERFYtmwZjI1f/C1MSUmBp6cnxo8fLx9Ol5eXh8TERHmSx87ODhMnTsTy5cvRrFkzhZWMIyIisHv3bnz11VcAgBkzZmDWrFnYvXu3fO68EydOwM/P763aqjSdO3dG3bp1sWjRIrRv3x5OTk4QBAHz5s1DdHQ0Nm/e/F7OWxbz58/HkSNHMHbsWPz555/y9pVKpdi3bx8cHR3RuHFjbNq0CU2bNpWvgAwAUVFRAF4k2p6v2BsUFFRq8kdHRwc1a9bE4cOHMXv2bOjo6CA1NRUzZsyQH+e5l4/btm3b1x63adOmMDQ0xPr169GnTx+oq6vj2LFj+Pbbb+UJF6Cwx5kgCAqJTh0dHXlP0OKUx5x+33//PVasWIFZs2Zh6dKlJdbr2rUrGjVqhEWLFsHDwwOmpqZITU3FggULUL9+/bdaqftlz+e4fHV+0Lf1fChycb1RX1Yec/rp6OhgxowZWLZsGSZNmoTmzZtDEATMnTsXEokEM2fOlNcNCAjA1KlTMXDgQIwbNw4AYG1tjdGjR2PDhg0YM2YMatSogYKCAsyePRsmJiYKQ60nTZqE1atXY9asWdizZw/U1NTg7++PDRs2YOzYsSX2dgYKE6EPHjxQSIinpqYiMzNTofcmKR+Tfu/B0/BY7L14F+HxSdDX1kJ916oY2K4h1NUKu+FGJaZg7l8HML5na1S1MMbfJ64iNikNzWo6YmSXZpBIxAiOTsDWk9cQmZCCOs62GNejFbQ1FR8yn/78t/z/NdQksDY1QvdmtdDM/d3n63jT87x8TU5WpvA8fgXhcclwtjbH+J6tYGqo2IVdJpPhgLcPLtx7ApFIhK5NaqJn8zr47Jet6Nq4JoZ0bFxqXA+Do3DA6x7CYpOgo62BtnXd0KdlXUgk4lL3JaKKFXj2FB7v/xeCVIrAc6eRHFz4TbPH8t8ReecmfHduQ8dFv0LH9MUwqcz4OJz/YR7qDh8Nu5atyy2WiJvXEXj2FDJio6FlZAynDp3h2FZxHhtpfh4e7duNyFs3oa6tjeq9+8HE2RXnvpuD2kNHwqF1OwBAiPfFMsf+vOw5iaYmDKvaoVqPPjCrVtgzIuyKN66v+w1A4VDo+9sKn7+1Bg+HY9sOJc7pJ8hkCDh1HOFXvZGTlgp9K2tU69EHVWq/eCmJ9b2Pm+vXoOVXcyHIZPDd/T9kJSbAwr026g4bBfUSJvYmog/H80U8GjRoUGKd8prTb9SoUYiNjZW/DP/777/w8fEBAPzyyy+oV6/eO5/jdS5evCifsP5teXp64ttvv0X37t1hY2MDGxsbhIWFQUNDA3Pnzi1xP5FIhEOHDmHmzJlo3rw5nJycYG5ujuDgYJiamuLHH38EUDjsdevWrfjss8/g5OQEa2trxMfHY9u2bRg0aJD8eNra2oiJiYGbmxssLCxgamqKR48ewcbGBrt27ZLXW7VqFUxMTDB48GCYm5ujatWqiIyMhCAI8oQfUDg/XXh4OIYPH45FixZBIpHA1dUVM2bMkCcGypNYLMbRo0cxcuRIuLu7o27duoiKikJGRgY2b978znOcvQt3d3ecO3cOEydOhK2tLWrUqAGZTIbg4GB07txZnpiysLDAp59+isTERDg5OSExMRGRkZFYsmSJPBHXtGlTdOrUCSNHjkTjxo2hqamJ+fPno1WrVsWe29PTEwMHDoSjoyNcXV0RFhaGVatWYc2aNcjJyZHXq169OgYMGIBJkyZh69at0NLSwpdffllsbzctLS2sXr0aY8aMgb29PQwMDBAYGIjvvvtO3svveT1tbW0kJSXJyxITE187TPld5/S7efMmFi1aBE1NTfj6+hb5vb88nFUkEuHgwYMYPHgwXF1d5Qu2uLm54d9//y0y5+Ob8vLyQnx8/Dsd42WtWrVCvXr1MGTIEDRs2BBaWlo4cOBAkUUwymNOP6BwPsbk5GS0b98ejRo1QmxsLDIyMnDw4EGFuStTU1Nx6tSpIl/QrF27FllZWWjQoAGaNGmCkJAQSCQSHD9+XGFKAgsLCxw/fhzDhw+Hk5MTHB0dcfPmTfTr1w+rV69+bYxVqlTBuXPn8OWXX8LR0RFaWlq4f/8+mjdvXuq+VLGY9CtnVx8GYujCTejbuh66NnZHbn4B7jwNxZGrD7Dj+8I/slnZeTh3xx817a1wPzACvVvUgY2ZEX7efgLPIuMxrFMT/PD3EfRrXQ+25sZYtus0/EKi8cfMYQrnGtmlmfz/M7JzcONxCD75cSN+Ht8XI7o0LbdrKst5nl9THScbrDtwAd2b1YaztTlW7T2H49cf4vyqL6H20twD09bsxrFrvvi8dxtUs6sCL58ABEUl4NwdfzhamZYa05+HvfDTtuMY0KYBujWrhYTUDCzYchSHLt/H33M/fec/FERUvsyq1UCtT4YhxOsCzKpVR81+hS87Eg0NpEdFIsTrAgpe+gAMAPnZWQjxugCnDl3KLY6Li7/Ho727UXvIcLh27YGUsBCcmjUNNfoNQttvCue4kebn49D4UYj3f4SGY7+AXhUr+GzfAss69RDidQEOLyUI3yR2DT191PrkxXM8Ny0NwZfOYdcnvdF7/WbYtWgNYydnOLbtiNgHPnBs2xFm1Qq/sTd1KZxTpbg5/WQFBTg6dTwib91Ag88mwLZpc4Re9sK/w/qj9dfzUe+/YcJZiQkI8boAm0ZNEXn7Bly6dENuehpu/LEakbduoM9fW8qtnYlIORo3bowTJ04o9FZ6X8aMGYPs7Oxit5WWVBwzZoxCz7rnRo0ahVatWhWZr2rEiBFo1qyZfF67pKQkBAUF4eeffy41zh9++KHYueYAQFNTE8uXL8eiRYvg6+uLrKwsODo6ws7OTj6P4MtxvczAwACbNm3Cb7/9hocPH6KgoABOTk6wsbFRqNe3b1907NgRjx49glgsRv369aGuro7t27fLEzCamppYtmwZfvrpJzx58gTJycmwtbUtsjCFmpoaFi5ciG+//Ra+vr7IyMiAvb097O3tFT77isVirFq1CnPmzIG/vz9sbGzg5uaG6OhonDhxoshCKa/q2LEjTpw4UWRhjlWrVpX4GdvW1hYXLlxASEgIgoKCoKenh3r16hVZeOWnn34qtrfZwoULi72fXvf7e87Z2RknTpwoMdHctGlT3L17FyEhIQgODoahoSFcXV0VVmHt3bs3evfujYiICAQGBsLIyAhubm4KPeVEIhHOnDmDx48fIzIyElKpFK6uriXG1axZMzx79gyPHj1Cbm4u6tatC11dXdja2haZp3Dv3r14+vQpwsLCUFBQ8Nq5NEeNGoVGjRrhwoUL0NTURNeuXWFnZ1ekXsOGDXH58mX5cHQvLy80atSoxOO+KxcXl9f2cnv1uWBjY4PLly/j6dOniIiIgLW1dYnza76JjIwM+Pv7l+v0BLq6urh79y7u37+PuLg4aGlplbj6cHmQSCT4448/8OOPP+Lx48fQ1dVF/fr1i5zTzc0NJ06cKLJwj7a2Nnbu3InIyEgEBATA0NAQdevWLfbfb/PmzfHs2TPcv38fqampcHV1LfIcK46lpSW2bNmCzMxM+Pn5yRcQYi+/SkigcjVl1U6h7bTlRcoTUzPk/x8QHitY9/9aaDHpVyErJ09evv7QJcFu0Fxh6IKNQlZOrrx84xFvwWbAHCE4OqHU8y/cclSoNuI7QSaTCYIgCLFJaYJ1/6+FzceuyOsUV/amXj2P4jW9iP3aw0DBuv/XwgGve/KyUzcfCdb9vxZ2nr2pcMzF/xwTbAbMERZsOfLaWO88CRVsBswRVu4+o7D/45AowXbgHGH76etvfV1E9H6tcXcUvJf+pFD2YNd2YY27o5AaEa5QnhwaLKxxdxQe7tklL4u8c1NY4+4ohHhffG1ZcfyPHhTWuDsK/kcPKpQHnj8jrHF3FMJvXBUEQRDu/bP5v5+vyevIZDLhyNQJwhp3R+HBru1vFXtJjk79XNg5sKf859Cr3sIad0ch9Kp3kbrFXavP9i3CGndHIfDcaYW6536YJ/xex0VICg4UBEEQgi6cFda4Owr7Rg0RpAUF8nqP9u0W1rg7CjEPfEqNlYioMtizZ49gZWUlZGZmKjsUokpr7969gqGhobBt2zbB09NT0NXVFc6cOVP6jh+4I0eOCGZmZkJaWpqyQyGqFNjTr5zpaGkgMiEFV3wD0bL2i2/HTAyKribVq0UdhSG7Tao7oEAqg7ujNbQ1X3wr1qSGAwRBgH9oDBwsX/SCS07Pwt5Ld+AbFIW0zGzIBAExSWlIz8pFZHwKbC3KPm/WV+v2ID71xYpeHRpUx2iP5m98np4t6ijE3rSmI9QkYviFRqNv63oAgOPXH0JLQx0D2ykOPRncoTH+OHip1Fj/vXAHIhEwrqfiN6417K1Qx8kGJ288wvDO5dfTkYhUg9+BvdAxNUO1Hn0Uyp3ad4KmgSECz56GbZPmeHbmBIwdnWHb5EUvZ5FIBPf+nyD4/Jl3iiE9Ogr+Rw4g6dlT5GVmAoKAlNBgpEdHQZDJIHqLXsoBp45B38oaTh06K5TXHTEaj/buQuCZk2g0fpK8vHrvfhC/1IvGpknhsz7hqb/CcGAiosqqfv36OHPmDHQ4LQFRiQYMGIC8vDxs3boVIpEI27ZtQ6dOnZQd1nvn7u6O8+fPK/TkJPqYMelXzqYN6IAHgRH45McNsDQxQNMajmhXvxr6tqoLDXXF5q76SlLOSK/wg4utefHlCS8l5SLiktFr3jqYGujikw6NYGtuDHU1CS77PsOj4Chk5JQ8SWtxLvsGIiI+Wf6zlanhW53H7pVrEolEMNLTUUgoRiakwNrMUGG4b3H7liQ4OgHqEgmmr9kNABBQuFqdIBQeOyevoMzXTUQfj5SwkMKhsNM+LywQBEAQIAgCZAUFyIiJBlA4ZNfUtVqR/Q2rFh068yZiHvjg4NgRMHevBVePHtA1rwKxRIInRw8hJTQE0vx8qGlqvvFx06MiYWTnUKTcyK5wYvC0qEiFcgNbxeE12v9NJp+VmPDG5yYiUoZXh50SUfGGDh2KoUOHKjuMCvXqUFeijx2TfuXMxswIJ5ZOg19oNK49CsLVh4H4+s992HjUG4d/nqzQs+/VpNfzqUOeL/jxarlMEORlm45dRnJGFs6t+hIm+i96EfqHxbxV3CsmD0R27ovJkG3Njd7qPK9e0/P4ZbIXsWuqS5CVU3RlqKzc0leLAgoXE9HWVMfQTk2KbBuBptDV0ihmLyKqrJ4nuqT5is+AnNTUcj2PRF0d6mbmcO//SZFttQYNlS/EIdHQQH52VpE6eVlFy94k9tsb1kHT0BB9N/4DifqL51TQudNvdiHFxPC6eNU0FBOJ4lfnoHn+R+alvzGkuqRSKY4fP47169fj7t27WLduHQYMGKBQp6CgACtWrMC+ffsQFxcHa2trDB8+HJMnT1aod+LECSxZsgShoaFwdXXFwoUL0aJFi4q8HCIiIiJ6DSb93pMa9laoYW+FMd1b4n9nbuDrP/fjln8I2tQtebLXNxGfkgEzQz2FRBwAeD8IeKvjtartUiHnAYBajja4dD8A0Ymp8h6FAPAgMKJM+zeoZofz956gWtUqsKtS8gpURPRh0LMsnPA3PSoSxg4vJi2Pe3i/XM9jWbcBgs4XDuF93Uq1FjVrI/zaZRTk5EBNS0teHvvAp0jdN4k9MyEehlXtFRJ+MqkUEbduKNSTqP335ZCsbEk48xq1EOJ1AXkZ6dDQezGUJcancBVP85q1StqVPkKrV6/G+fPnMWnSJPTq1avEifP/+usvbN26Fe7u7rh+/TrGjBkDQRAwZcoUAMCVK1fQu3dv/PTTT+jVqxf+/vtvdOrUCXfv3i2XidiJiIiI6N1xidNytvXkNYTGJCqUJaYVrjhlbqRXbuep7WyDmKQ03PIPkZdtP30Dccnp5XaO93We4Z2bQFNdDT/+fQT5BVIAQEpGFnafvwOxWFTK3sAoj+awNDHAjN//RWxymsK264+CcPaO31vHRkQVz7JOfWgZm8B31/8g/LeaXUpoMIIvnCvX8zQcNxGCTMDZ7+YgN/3Fs0MQBARdOIuY+/cAAHWGfYqctFRcW7Mcwn+931LDwxB0oeh8fm8Su0XNWoh75IvU8DD5ea+tWQ7JKysb6llZF54zIqxM11Vv5GcoyM2B97KfIZMWPlOzEuJxbfUy6FvbwLVr9zIdhz4OM2bMwNGjR9GzZ88S61y6dAl9+/ZFjx494ODggCFDhqB9+/a4dOnFvLtLlixBp06d8PXXX6NGjRpYunQpXFxcsGLFioq4DCIiIiIqA/b0K2c6WhoY+dPfkMpkqGphjLjkdMSlpGPx2D6oYV9+y1d/1q0FrvgGYtAPG9DA1Q4JqRmo7WSDL3q3wVd/7K3U56lqYYK/vhqB6b/vRtMvlsDRygzJ6VlYNfUTHL56H5JSJrI30dfFvkVf4Os/96HFpKWoVrUKtDXVERydAGcbC8wfyRdcog+Juo4O2n7zI8599zW29egIHVMziCRitJjxNcKuepfbeUycnNHPczsuLJyPLZ1bwcTZDSKRCClhIbCq3xCtZn0DALBu0AgdfvgZXr8uRNC509C1qIKC3Fy0/no+Iq5ffevYm035EnGPfLGzf3dY1KqD9OhIOHfygGvX7ri5fo28nqFtVbh69IT30sV4dvo41DS1UGvwcDi27VDsdVnWrY8uv/wGryULEHr5EgxtqyLe3w9Gdvbo89dWhd6KROIyLBbj4eGBrVu3IjIyEjY2Nnj69Clu3bqFX3/9VV7H29sbP/zwg8J+Xbt2xeHDh8s9ZiIiIiJ6OyJB4CQ+5U0QBITEJCI8Lhkm+jpwsbWAlsaLufyycvJw5WEg3B2tYG1qJC/Pzs3DZd9A1HSwgo3Zy+X5uOz7DDXtLWHzyiIfzyLjEZ2YCvsqJrCrYoLoxFQ8DI5Cc3cn6GlrIje/AF73A1DdrgqqWhQOhS2urDSlnaekawIAr/sBMDXUhbuDtUJ5dm4+7j8Lh1gsQl2XqkjLzEa9sYsxb7gHpvRvX6ZYY5LSEBgZD3U1MZyszWFmWH69KYmo/AVfPAfDqvYwcS46pUBOagri/R5BQ08fFu61UZCTg4gbV2FWrQb0/+v9lpOaiuh7t2FZpx60TUxLLCtNangYUiPCoKGrByN7R2gZGhapk5uehrjHD6GurQML99rIiInG1q5t0O67Rag9ePgbxw4AgkyGxGdPkZ2cBGNHZ+hZVEFySBBSQoLh0Ka9wuq9SUGBSI+KgKygAKau1WBgY/vaa5Xm5yHe7zHy0tOhZ2lVpI2zEhMQ63sfVvUbKVyvTCpFqPdFGDs5F7sgCKmu56s5jhgxosi2mTNnYtWqVTA0NER6ejp++uknzJkzBwCQnp4OAwMDbN++HcOHv/i3sHz5cixYsADp6cWPBsjNzUVu7osFwGQyGZKSkmBqagqRqPSe/kREREQfI0EQkJ6eDmtr6zJ9gfsyJv2o0jh54xHGLv0HO78fizZ13ZQdDhGRgrTIiBKTfkQfopKSfkuXLsWKFSuwYcMG1K5dG9evX8fEiROxdu1ajBw5EmlpaTA0NMSuXbswePBg+X6rVq3CN998g6xiFr0BgB9//BELFix4r9dEREREpKrCw8Nha2v7RvtweC8pxambj9CkhiOM9Qsn04+MT8avO07C2docLWsVv6gIERERvV+CIGDx4sX47rvv0KdPHwCAk5MTbt++jUWLFmHkyJHQ09ODlpYWEhISFPaNj4+HhYVFiceeN28eZs6cKf85NTUVdnZ2uHHjBtzc+GVfcWQyGRISEmBmZvbG3+x/TNhOZcN2Kh3bqGzYTmXDdiod26hsUlJS4OjoCH19/dIrv4JJP1KKAqkMXWatgoWRPkQiEfxCY+BkbYaNM4dDIuE/diIiImUQBAEFBQXQ1dVVKNfT00NeXh6AwnkBGzVqhMuXL2Py5MnyOl5eXmjSpEmJx9bU1ISmpmaRcgMDAxgZGZXPBagYmUyGvLw8GBkZ8WXoNdhOZcN2Kh3bqGzYTmXDdiod2+jNvM10KEz6kVL0aF4bnRvVwLPIeCSkpsPa1AgutiX3DiAiUjYdUzP0XLsRZtWqKzsUovdGLBajS5cuWLt2Lbp37w4HBwf4+fnB09MTvXv3ltebMmUKRo0ahdOnT6Nz587YtWsXrl69ivPnzysxeiIiIiJ6GZN+pDQa6mqo6WAFoPxWNSYiel/UtLTg2K6jssMgeife3t4YNGiQ/OcpU6Zg1qxZGD58OFasWAEA2LhxI6ZNm4aaNWtCXV0dUqkUQ4cOxbJly+T7DR48GGFhYfjkk0+Qm5sLfX19bNy4EW3btq3wayIiIiKi4jHpR0RERPSRaNq0KXx8fIqU6+joyP/f3NwcO3fuhCAI8kU7ijN79mzMnDlTXofDcoiIiIgqFyb9KrGQmET4h8YgMycXbeq6wtzozSdtVDav+08hCEDbepygm4iUJ+GJH9KjoxR66oVfvwKZVAr7lm2UGNkLz86chImzK0ycnJUdCqkwDQ0NWFpalqmuSCQqMeH3nEQigbGxcXmERkRERETljF/JVlJr919Axy9X4t8Lt3HR5ylSMrKUHdJbWbPvAn7bc07ZYRDRR0yal4tj0yci4am/QvntTetxY90q5QRVjJj793By1lQIMpmyQyEiIiIiIhXAnn6VUGZ2LlbsPoPpgzpixkDOH0VE9C4e7NyG3LQU1B0xWtmhvFbDsZ/jwc5/4HdwL2r2/0TZ4RARERER0QeOPf0qobC4JOQVSOFoZabsUIiIPmiCTIYHO/6Bq0dPaOjoKjuc19I2NoFj2w7w2b5F2aEQEREREZEKYE+/SubG42BcefgMAHDHPxQFBVLo62ihS+Oa8jpxyenweRaO/AIpXG0t4Fa1isIxHoVEwT80Bv3b1EdOXgFu+gUjPTsHPZvXwbk7/tDUUEOr2i6IjE/Gg6BIWJsaoa6LrXz/5+XGejpoUsOhyMTcR689gJWpIRq62SuU3/QLRlJaFjyaur/2Gm/6BSM8LhkAIBaLYKyng7ouVWGsr/Pa/YiI3lT4jatIi4yAq0fPN9ov8dlTJAcHQqKugSq16kDHzPyt6oV4X4REXR1Vm7VEenQkYh/6QsvQEFb1G0Girl7keK4ePXBi5hTEPnyAKrXqvFHMREREREREL2PSr5J5GByFO0/C5P+fnJGFKsYG6NK4JmQyGRb9cxybj19BHWdb6Gtr4qZ/CBpVs8cfXw6DiUFhL5ajV32xZt95OFiZYs76/bAyM0JwdAJ6Nq+DX3achIWRPp6ExWLPxTswN9LH1YeB6N2yDlZOHoS/DnvhgLcPqpgY4OrDQDSp7oDt88coJP7m/nUAHk3ciyT9/j5xFXefhpea9HscEo07TwuvMS+/AIFRCQiMjMP8T3tgbI+W5dmcRPSRi7h+FSKJBFVq1y1T/azEBJyaPR2xvvdhVb8hcjPSEf/4EeqN/AwtZs6BSCR6o3o3fl8JDQMDJAU+w6O9u6BvbYOYBz7Q1NdHrz88YezgpHB+q/qNABQuMsKkHxERERERvQsm/SqZsT1aop6rLS76PMWYHi3Qs/mLl76/DntjwxFvrJk2GAPaNgAAPA2PRb/5f2Lyqp3Y+f04hWP9ddgb+xZ/AUNdbYTFJsnLAyLiUM+lKk4umwYAOHfHH5/+/DfMDPUggginlk8HAFzyeYphizxx9Jovercs2wtzWYzu1gKju7VQKNt68hq+8zyMlrWdUd2ubKsKEhGVJvbRAxjaVoW6tnaZ6p/6ejoSAp7gk92H5Kvo+h3ah7PfzoaOmRnqjxr3RvUAICUkGGkRYRi6/zhEIhGykxKx/7NhODbtCww7cAJiiUReV9fcAlrGJoj1vV9eTUBERERERB8pzun3Adl07DIaVbOXJ/wAwK1qFYzt0QJe9wPwJCxGof6gdg1hqFv4omtXxURenpmTi6kD2st/7tiwOkwNdLH99A18+UkneXnbem6wMNLHJZ+n5X4t2bn5uP4oCIev3Me+S3ehriaBVCbD9cfB5X4uIvp4ZScmQMvIuEx1E576I+LGNdQdPkqeyAOAGn0GwLJuffj88/cb1XsuNzUVTad8Ke/9p21iisafT0Fy0DOEX79SJA4tIyNkJSS88bUSERERERG9jD39PhBJaZmISUpDj+a1i2yr51IVAPAoJBrVXuolV8fZpthjOduYQ0tDcS4pC2MDaKpLoK2pWF7FxADRianvGr6CPRfv4HvPwzDS00F1e0voamnIt8Ulp5XruYjo4yYtKICmWtn+1CU88QeAYofVVqlVFzH37yE7JbnM9bT/SzYa2jtAQ1dPoZ5FrcJneYL/Y9i3bKOwTaKmBllBfpliJiIiIiIiKgmTfh+IfKkUAKCtUXTi9+cJvPwCqUK5qUHxK1Xqa2sVKVNXE0OvmHI1iRh5rxxXLBJBJghF6ublS4uUvSoqMQWz1+/DkA6N8cvn/eTlCakZOODtg2IOS0T01rSNTZCTWrYvLp4n2tQ0iz4LJVqa/9UpKHO959Q0NYvUe77vy/Wey0lJgVn1GmWKmYiIiIiIqCQc3vuBMDPQg46WBoKiig75CoyKBwDYvzSE932yMNJHUlpmkfKQmMRS933wLBL5BVL0a11PofxxSHR5hUdEJGfq7Ir0yAjIpKV/KWFoawcASA4tOs1ASnAw1HV0oW1sUuZ6z6WGh0GQyRTr/bevgY2tQnleZgayEhNg6lKt1HiJiIiIiIheh0m/D4REIkbP5rVx5o6fQuIvJy8fW09cQ1ULYzSqbv+aI5SfWk42uOUfguzcPHmZ1/2nCItLes1ehSxNDQAoJggLpFJsPl50Xisiondl07gp8rOzkPSs9LlJLes1gL6VNXx3bYc0L1denhwchBCv83D16AGxRFLmes/lZ2ch4ORR+c+CIOD+9q1Q19WDQ5sOCjHEPnwAQSaDTZNm73LZREREREREHN77Ifnu0x7wDYxEv/nrMdqjOfR0NLHf6x6iElOx9ZvRUHvpJfN9mtyvLY5ee4AhCzahX5v6iIxPRlhsEjo2qI57AeGv3beusy1a13HBgi1HEZWQAn0dLRy77ouBbRvgzG2/ComfiD4eDu06Ql1XD0EXzsKs2uuHzErU1dH5l5U4Onkc9o78BNV69kFeRgbu7/gHJi5uaPnVvDeq95xl3foIOn8WsQ8fwNDOHiGXziPs6mV0/XUVNA0MFOoGnz8LHVMzVG3WsnwbgoiIiIiIPjpM+lVCpgZ66N+mPmzNFVecNDHQxbGlU3H4yn3cfRqGyIQU9GlVDwPbNoCZ4YtJ4t0drdC/TX2I/1sp8mUdG1SXr+j7sg71qxdZxAMA2tevViSZ6GpbBSeXTsPuC7fxKDgS9Vyq4uuhXfG/MzdQxUTxBbZ1HVfIhBfD2kQiEbZ9Owb/XriNB0GRSMvKwfxPu6O+S1VcfxwMd0ersjUSEVEZaOjookaf/vA/vB+NP58iX0EXAKo2awlpbq5CfZuGTTDi6Dk8OXIQiQFPIVFXR+vZ38K1Ww9I1DXeuN5znZesgN+hfYj1vQ9Tl2poMePrIklIaX4+np44AveBQyBRL/o8JiIiIiIiehMiQeDSCUREpLoy4+OwrUdHdFz0K1y7dq/Qc+/+pDc0DAzQb9P2Uus+3LMT11Yvx8hj56FlaFgB0REpV1paGgwNDeHn54fq1asrO5xKSSaTIS4uDhYWFhCLOStPSdhOZcN2Kh3bqGzYTmXDdiod26hsUlJSYGxsjNTUVBi8MlKoNGxVIiJSabrmFmj7zQ9ICSm68EZlkhYZgXbzFzLhR0RERERE5YLDe4mISOXV6DtQ2SGUqsWM2coOgYiIiIiIVAiTfkRERO+JfZv2UNPSUnYYRERERET0EWLSj4iI6D1pNuVLZYdAREREREQfKc7pR0REREREREREpGKY9CMiIiIiIiIiIlIxTPoRERERERERERGpGCb9iIiIiIiIiIiIVAyTfkRERERERERERCqGST8iIiIiIiIiIiIVw6QfERERERERERGRimHSj4iIiIiIiIiISMUw6UdERERERERERKRimPQjIiIiIiIiIiJSMUz6ERERERERERERqRgm/YiIiIiIiIiIiFQMk35EREREREREREQqhkk/IiIiIiIiIiIiFcOkHxERERERERERkYph0o+IiIiIiIiIiEjFMOlHRERERERERESkYpj0IyIiIiIiIiIiUjFM+hEREREREREREakYJv2IiIiIiIiIiIhUDJN+REREREREREREKoZJPyIiIiIiIiIiIhXDpB8REREREREREZGKYdKPiIiIiIiIiIhIxTDpR0REREREREREpGKY9CMiIiIiIiIiIlIxTPoRERERERERERGpGCb9iIiIiIiIiIiIVAyTfkRERERERERERCqGST8iIiIiIiIiIiIVw6QfERERERERERGRimHSj4iIiIiIiIiISMUw6UdERERERERERKRimPQjIiIiIiIiIiJSMUz6ERERERERERERqRgm/YiIiIiIiIiIiFQMk35EREREREREREQqhkk/IiIiIiIiIiIiFcOkHxERERERERERkYph0o+IiIiIiIiIiEjFMOlHRERERERERESkYpj0IyIiIiIiIiIiUjFM+hEREREREREREakYJv2IiIiIiIiIiIhUDJN+REREREREREREKoZJPyIiIiIiIiIiIhXDpB8REREREREREZGKYdKPiIiIiIiIiIhIxTDpR0REREREREREpGKY9CMiIiIiuby8PCxbtgwtWrSAq6srBg4cCH9//yL1zpw5gw4dOsDZ2RkeHh64ceOGEqIlIiIiopIw6UdEREREcpMmTcLvv/+O7777DkeOHIGbmxtatWqFmJgYeZ1r166hR48e6NSpEw4ePAh3d3d06NABT548UWLkRERERPQyJv2IiIiICACQm5uLrVu34scff0S3bt1QvXp1/Pzzz7CyssLq1avl9ZYsWYIOHTrgm2++Qe3atbFixQo4OjpixYoVSoyeiIiIiF7GpB8RERERAShM+hUUFEBfX1+h3MDAABcvXpT/fOnSJXTu3FmhjoeHB7y8vCoiTCIiIiIqAzVlB0BERERElYOBgQFatmyJVatWoUOHDjA1NcXRo0dx48YNWFlZAQDS09ORlpYGS0tLhX2rVKmCyMjIEo+dm5uL3Nxc+c9paWkAAJlMBplM9h6u5sMnk8kgCALbpxRsp7JhO5WObVQ2bKeyYTuVjm1UNu/SPkz6EREREZHc//73P0yYMAHW1tbQ1taGm5sbRowYgbNnzwJ48cFTTU3xY6S6ujqkUmmJx12yZAkWLFhQpDwlJQVxcXHleAWqQyaTITU1FYIgQCzmAJ2SsJ3Khu1UOrZR2bCdyobtVDq2Udmkpqa+9b5M+hERERGRnL29PU6dOoW8vDxkZGTAxMQEQ4cOhZ2dHQBAX18fmpqaSEhIUNgvISEB5ubmJR533rx5mDlzpvzntLQ0VK1aFUZGRrCwsHg/F/OBk8lkEIlEMDc358vQa7CdyobtVDq2UdmwncqG7VQ6tlHZaGhovPW+TPoRERERUREaGhowMTFBRkYGTp06JU/YicViNGrUCFeuXMHkyZPl9b29vdGkSZMSj6epqQlNTc0i5WKxmB/0X0MkErGNyoDtVDZsp9KxjcqG7VQ2bKfSsY1K9y5tw1YlIiIiIrl///0X3t7eAAqH3o4ZMwZGRkaYNm2avM7kyZNx4MABnD9/HgCwZ88eXL58GZMmTVJKzERERERUFHv6EREREZFckyZNMG7cONy5cwc5OTno1KkTLl68CAMDA3mdoUOHIiQkBH379oVMJoOmpibWr1+P9u3bKzFyIiIiInoZk35EREREJOfg4ICzZ88iLS0NGhoa0NLSKrbevHnzMHv2bCQnJ8PExAQSiaSCIyUiIiKi12HSj4iIiIiKeLlnX0nU1NReu3gHERERESkP5/QjIiIiIiIiIiJSMUz6ERERERERERERqRgm/YiIiIiIiIiIiFQMk35EREREREREREQqhkk/IiIiIiIiIiIiFcOkHxERERERERERkYph0o+IiIiIiIiIiEjFMOlHRERERERERESkYpj0IyIiIiIiIiIiUjFM+hEREREREREREakYJv2IiIiIiIiIiIhUDJN+REREREREREREKoZJPyIiIiIiIiIiIhXDpB8REREREREREZGKYdKPiIiIiIiIiIhIxTDpR0REREREREREpGKY9CMiIiIiIiIiIlIxTPoRERERERERERGpGCb9iIiIiIiIiIiIVAyTfkRERERERERERCqGST8iIiIiIiIiIiIVw6QfERERERERERGRimHSj4iIiIiIiIiISMUw6UdERERERERERKRimPQjIiIiIiIiIiJSMWrKDoCIiIjoY5CdnY2zZ8/iwoULePLkCRISEqCrqwsrKyu0aNECXbt2hYuLi7LDJCIiIiIVwaQfERER0XsUExODpUuXYsuWLUhOToZEIoG5uTlMTEwQFxeHW7duYceOHQCAdu3aYebMmejVq5eSoyYiIiKiDx2H9xIRERG9J3/88QdcXV2xZ88eTJgwARcvXkRaWhqio6Px6NEjBAcHIz09HU+fPsXmzZuhrq6Ovn37okOHDoiNjVV2+ERERET0AWNPPyIiIqL35M6dO/jrr78wZMgQiMUlf9fq6uoKV1dXfPbZZwgKCsLChQsRHByMKlWqVGC0RERERKRKmPQjIiIiek88PT3feB8nJyds2bKl/IMhIiIioo8Kh/cSERERERERERGpGCb9iIiIiCrQmjVrkJGRIf95+vTpMDExQYMGDfD06VMlRkZEREREqoRJPyIiIqIKcuTIEVy4cAF6enoAgMOHD2PNmjVo1qwZCgoKMGnSJCVHSERERESqgnP6EREREVWQgwcPom/fvvKf9+/fjw4dOuD48eNIS0uDjY0NEhISYGZmprwgiYiIiEglsKcfERERUQUJCwuDra2t/OdLly6hV69eAAADAwNUq1YN4eHhygqPiIiIiFQIk35EREREFcTU1FQ+b9+jR48QEhKCVq1aybcnJSXByMhISdERERERkSrh8F4iIiKiCtK1a1fMmTMHSUlJOHjwIGxtbdGgQQMAhQm/7Oxs2NvbKzlKIiIiIlIFTPoRERERVZARI0bAy8sLCxcuhKGhIbZt2waxuHDgxR9//IHx48fLfyYiIiIiehdM+hERERFVEHV1dfz999/YuHEj1NQUP4aNHz8ehoaGSoqMiIiIiFQNv0omIiIiqmBqamoIDw/H9evXkZaWBgCoUqUKtLS0lBwZEREREakKJv2IiIiIKtD169dRt25d2NnZoXnz5njw4AEA4Mcff8Tff/+t5OiIiIiISFUw6UdERERUQQICAtCpUyeYmZlh48aNqFmzpnzbiBEjsHz5ciVGR0RERESqhEk/IiIiogqydu1adO/eHefOncO4ceNgYmIi3+bi4oLExESEhYUpMUIiIiIiUhVM+hERERFVkIcPH+LTTz8tcbuNjQ1iYmIqMCIiIiIiUlVM+hERERFVEE1NTfnCHQAgEokUtoeHh8PIyKiCoyIiIiIiVcSkHxEREVEFadq0KdatW4eCggIAikm/nTt3QiQSwcXFRVnhEREREZEKYdKPiIiIqIJ8/vnnePLkCRo2bIi1a9ciOTkZV69exezZszFq1CjMmzcPYjE/nhERERHRu1NTdgBEREREHwtLS0ucPn0aw4YNw9SpUwEAc+bMgbq6OmbPno3p06crOcKKd8xzKySjRsK1Vs3SKxMRERFRmTHpR3IxMTG4efMmsrKyoKOjgyZNmsDS0lLZYRERVTp8XtK7aNCgAR4/foxbt24hKCgI2traaN68OapUqaLs0JRCenQnTpzYjV02bmg3YyZad+ui7JCIiIiIVAKTfoSHDx/C09MTly9fhiAIEIvFkMlkEIlEaN26NcaOHQt3d3dlh0lEpHR8XlJ5EYvFaNq0KZo2barsUCoFEQCDyADcmT0R0UFz8MnkCcoOiYiIiOiDx0ljPnLnz5/H2LFjcfXqVQiCAACQyWQAAEEQcOXKFYwZMwbnz59XZphERErH5yWVl6SkJEyfPh3Ozs7Q0tLClStXAAAbN26Et7e3kqNTHjEEiCEgav2v8D5xWtnhEBEREX3wmPT7iD18+BDz5s2DTCaDVCotto5UKoVMJsO8efPw6NGjCo6QiKhy4POSyktqaiqaNWuG7du3o3nz5jAzM5Mnkd3c3LBo0SIlR6hcov/+u7h6pbJDISIiIvrgMen3Edu8eTMAyF82SvJ8u6en53uPiYioMuLzksrL2rVroauri8DAQGzfvh2Ojo7ybW3btsXNmzeRmJioxAiVTwwBhhFPEfDwsbJDoQ9Abn4BklPSERsdh6jQcKQnJECan6fssOgDJAgCsnPzkJqZjZi4RCSnpEIqlSk7LPpAyWQyZGbnIiUjG/Ep6UhLTUdOaioyE+KRk5oCaX6+skOkD0h+QfGdDsqCc/p9pGJiYuDt7V3qC+xzUqkU3t7eiImJ4WT1RPRR4fOSytPly5cxd+5cGBkZFbvd0dERQUFBMDU1rdjAKhkRgEMbPDF92RKoa2ooOxyqBMLjkuDzLAK+gZEIevQYFtePQT0jBXp5mdCSFX15lorEyNc1RF6XwajVpQsautnDxtwIIpFICdFTZSKTyfA0Ig4+AeHwu++LuEe+EEWFQis5Fnp5mTAoyIKmrAAXzWrjuml16OtooqqFCRyqmMD99GYYmJvDtlo12DVoCMu69WBo58D76iOWl18A3+BI+AZFwfdZOKKePkViUiqe5Kmh4KWk8bjgkzDLS1fcWV0DWuZVYOboBDMnJ1jUqgPrBo2hb2VdwVdBlUVmdi7uPQvHw6DCeyokJgGZ4aGQxYS/9TGZ9PtI3bx5s8wvsM8JgoBbt26hV69e7ykqIqLKh89LKk/5+fnQ0tKS//zqi2JSUhI0NTUrOqxKRwYg9po3VjepjTy7aqg28St0adcU+jpape5LqqFAKoX3vSfwPnwU10MTcT/jxTZNaR6+TAh57f4SQQZJRjL23fLHH48Ke8/amBmhi5slqj25jAa9esGlbQdoGhi8x6ugyiIrJw9nbj/G+bv+CLp4HqZxwXDKjIFZfibMSthHTSjsWZOelYvHIdEICgxFnZgwZMaE4YnvHTzZuwMAoG5oDOd2HeDYriPsWraGho5uBV0VKUtCagaOX3+Ii/ee4Np9f1gmhsEpMwZOmTFwKMhGgJ41Htm0VNhHKpIUPVB+HnKiwhERFY6IK5cAAA79h6LXwp8q4jKokgiMiseJ6w9x0ecpbj8JLdKrb2DENVinReFtZ31m0u8jlZWVJV91sqxEIhEyMzPfY1RERJUPn5dUnmrUqIH9+/ejT58+ABSTfrdv30Z8fDzc3NyUFV6lIQYgEgRoSvMhhD7B9E1HobntDLo1dcegdg3Ruo4LxGLOUqOKHoVEYd/uQ4g8cxwO8c9gLM1FFSNnoEoDeZ1ciQZS1PWgX5CFXB0DFGjrQSZWg6CmDmlBAZCbA+RkQT8vEynqLxIwkQkp8Am4jSpx93D+6gWck6ihSou2aDZiJKo2awmxpJiXcvpgCYKAy76B2HPxDk7ceIisnDxAEDAm5CYs8tKK3UcmliBH2wBSHX1Y2TugvmVVJKVlIjIhBXq52cgTSaAhKL6Q56cmw//QPvgf2geJlhZcu3RHs6lfQt/KpiIukypIbn4BTt54iL2X7uHSvSewzoxDrbRQjEkPh5asQKGudW4K3B2tYaSrDcik0NbWhiz/GeLTk5BdICA/Lw8asnxoS/NgmJ8F9ZfuqVXXgrH+698xuEMj9G1dD7pqYlxe/jOq9egDy7r12atURaRkZOGAlw/2ed3FvYBwQBDgkBWLthnROGtRD/jv9ywSiZBg7gCbtMi3PheTfh8pHR2dN3qBBQr/cOrq8psrIvq48HlJ5WncuHFo1KgRdHV1MWnSJMhkMmRlZeHYsWOYPHkyRo0apdAT8GMlABCbWiAnJh3BOhYQRGLk5OXjgLcPDnj7oFduEBq6u2LQrC9hZG6u7HDpHclkMpy59Qj7N26B4X1vVM1OgPFL250zY9C8piOa13JGbScb1HKyhrFkLrQMDCH670uZuLg4WFhYyJPBMpkMMUlpqB8ajXsB4bjlH4qbfsFwyIqTH1ckLUCc9zkc9j4HNVMLNBszHu6DhrCn1gcuOzcfB7zvYdOhi8h+5ocwHYsXG0UiPDV1gkW0DyCRQK96bTg2aw77+g1gXsMd2mbmiI+PV7iXgMKepxHxKfANmoh79x7h2d27yAp8CpvsRNhlxckTgdKcHDw+ehD6/T9FMyb9VEJSWib+OX0dW09cQ2JSCmqmh2FUcgAsclOL1BWpq8O6YRNUbdwUX4+bCIhELz2bRsvr5eTlIzQmET7PInDnSQh87j1CVlgQrLMTEaFjhozACNwPjMDCrcfwqbUYJqe2w3fnNpi6uqH+6PFw694LEnVOffEhCopKgOexy9h94Tayc/OhJitA/dRQNEp+CtP8wi7t9h26wL1dO9R2soGLjTlyE2JxZ98eYOqXb3VOkfCmY5ZIJcTExKBXr15vNGRNJBLhyJEjnKOKiD4qfF5Sedu8eTO++OIL5L8yiXfr1q1x/Phx6OnpKSmyipWWlgZDQ0P8Wt0e2pIXL9cyiJBm64rvTp5ETnYObtx9jNOPw3Dw8n2kZGRBuyAXk4KOQV2QIl+sBvVmHTBswY8wtVK9f2/FJbNUiUwmwyGve9i/9g+4BN6CSX6G4naxBHr1mqDJwEGo1bM3RCW0QVnbKSM7FxdvP8Klw8eReOMyqqWGQEequOiHSFsX9Ud8ioajJ0DL0PDdL7ISUfX7KTs3H1tPXsWf+8/DNvwhmiX5w7AgGxsduiLf2AK9WtRBr5Z1UctcF8l+D2HbrEWRBO+btFFccjrO3fHDUe+7CLtxHa7pEaiRHo4QHQsctGmBpjUcMX1gB7Sp64p4v0cwcnBUmYSyqt9LQOEQ3t/3X8D209eRk1fYk88hMxZDIrwU6qnr6MKliwdcuvaATaOmUNfWlm97k3YKjIrHmVuPcfDyffgGvejVNSDyClwzohTq6lpUQf1RY1F78AiofeBfFH4M9xIABETEYtmuMzh+/SEEQYCGLB+NkgPQOCkA2jLFv0O1h4xAu/kLFcpSUlJgbGyM1NRUGLzhtBRM+n3EZs6ciStXrkAqLX0lGIlEgpYtW2LlypUVEBkRUeXC5yWVt5CQEOzevRtBQUHQ1tZGmzZt0LdvX5X+wPuq4pJ+AgqTfg2XrUfrbl0U6ufmF+DcHX8c3eiJ6jcO4eUBTnliNei274nhP3wHfRNjqApVfRkSBAFnbvvhj027UPfWoSKT24strNFo1BjU7TugTIm3t2mnlIwsHLx4B2d37obZs7twzoxR2G7cbQCGL12qUkPpVPV+yssvwM5zt/D73rMwDXmIVomPYJSfJd+u16YLhq76HVoa6qUe623bKDI+Gf9euIOdp64gNSERGWovEj9tatqjnddWSAQZGn8+BbUGDYFE48Oeu1VV7yUASM3Mxp+HvLDp2OXCIeH/EYtF8GhcE03Ob0FORAgs69ZHnaEj4dSxq0Ki72Vv204Pg6Ow69wt/HvhNvKyslAtPQL1UoJgm5OoUE+3iiWaTpyOGn0HQKz2YQ7iVOV7CShchGrF7rPY53UXMpkANZkU9VMC0TzJHzrSXIW6No2aos6wkXBs17HIM4JJP3orjx49wpgxYyCTyV7bg0UkEkEsFmPz5s1wd3evwAiJiCoHPi+pvKxZswYymQxTpkyB2gf6Ab28vJr0k0EEAYDN5LkYNHH8a/e9efk6Tq1ZA12/WwpzIeWqacJu+HgMnDldJeZnU8WXIf+wGMzfdAjXHgVBXVaAz4NOQE+aAwDQqVEXHaZMg0PrtiX26ivOu7STIAi4cO8JtvyzF5o3z8M9LRQFYgn+dOwOd3c3LB7XB7WdVGOYpireT5d8nmK+5yHkP/ND59h7sMhTHHLp0LYDGnw2ATaNmpTpeO/aRnn5BTjgfQ/rD3khIKJwKHmTpCfoEP9AXsfAxhYtZ30D505dP9iksireS1KpDDvP3cIvO04iOT0LThnRsMlOxC2b+hjeuQnG9WgFuyomCL9xFWqaWrCq16DUY75rO6VkZOGfU9fheewKElIzYJOdgKZJT+CaEaXwxZeRoxM6LvgF1g0avfE5lE0V7yWgcPGgNfvO46/DXsj7b2EOx8wY9Ii7C728F/N+iyQSuHXrhfqjxsK8RsnvDkz60Vs7f/485s2bBwDF9mARAEjEEvz66y9o3759BUdHRFR5lPa8FAkCxGpq+OUXPi+pZJ07d8bEiRPRv39/ZYeidC8n/bQkYqTauqHd9JlFevi9zsMHj7F34UIY+d+CBC8+0mYaW6Hrgp9Qv0O79xB5xVGll6G0zGys2HUKf5+8AelL86T2VktA44I4dJk7H7aNm77VscurnW48DsaKDbsQ6/cYz/SsART27hnVtTkGW6vB0skJ5tVrvPXxlU2V7qeIuGQs2HIUXlduoX3cA7inhylst2vRGs2mzkSV2nXf6Ljl1UYymQxHrj7ArztOIS08FK0THqFmeniRGNt88wOMHZze+jzKokr3EgDcCwjHtxsP4n5gBAzzMtEx3gdu/w2pbb/ub9Rq2/atjlte7ZSdm48tJ65i7YELSMnIhlluKtomPHwx7FckwuDdh2BRs9Zbn0NZVO1eEgQBx677YsGWo4hKePElhJGeNibWNIGwbZW8zLVbTzSdPKNMz4B3Sfp93F8xEzp06IDNmzfD09MT3t7eEAQBAgARChN+udpmaNqhG19gieijV9zzEoJQuLqWIMBWlo9hvXrxeUmv1bhxY8TExJRe8SMi6TUU3T4dCddaNd9431p1aqLW3l24efUWDi9agCrhjwEAusnRWLZ4JZomyTCpb1uoq334vf4+ZEeu3sf2JctRO/wetO06IENdGw6Wppj/aXd0bVQDIrG4UvR4alrTEbt/m4tTNx/j5+0nEBgVD5lMwK4jF2AUchKasgLUHf4pmk37SmXmZvvQSKUybDjijeW7z8AsJRrjI7yhKbxYOdWiZi20nPUNbJs0U2KUgFgsRp9W9dCtaS3878xNrNxzFjfiItAu3heOWbEAgLCr3tjRtxsajJmAxp9PgZrmhz3k90OUnpWDn7adwPYzNyCSSdE86QlaJD6GuvDii4m4i6eBt0z6lRdtTXVM7NsWQzs1xh8HLmHTscvYp9kSNtkJaBf/ABo2Dsg2sVJqjFT4ZcTXf+7DpfsB8jJ1NQkm9GyNyf3bwVBXG0cjHkKam4sWM+dW2JdI7OlHcjExMdh39CRW7T4NQSxBrpYJZGpa0NXSgI/nd9DR4gpBRERA4fPy8OZN8Nn9P6hDgKW0AHqQwcjBESOOnK0UL69UOSUlJWHQoEH45Zdf0LhxY2WHo1TPe/r5+fmhevXq73w8QRDw75Yd8F//G8T5Odjk4IECsQS1HK3x25RPUNPhw3sh+tB7QCSmZuDHVVuhfmy7PNHhb2gP1y/n44vebco0x1pZvI92yssvwMajl/HbnrNoEnEXzZP85dt0rWzQ5aelsG3SvFzOVVE+9PspICIWX67dg3sBhT3m1GRSjAs/C6OcNGgaGqHFjNmo2f+Tdxra/77aKCUjC7/uOIVtp67DNT0SHeN8YFjwYt5BYycXdF26+oPpSfqh30sA4HX/KWb9sQ+RCSkwz0lBj5hbsMxNkW/XMTNHq1nz4Najz1t/rntf7RQSk4j5mw7iwr2ngCBAIsigqaONb0d2x6ddmgKCgIuLv0edoSNh5vbuf1/fJ1W4lwRBwLbTN7D4n2PI/G8eSOvsRHTSysTY31fDxebFCuL52dlQ09J643uKw3up3ERFRaHL7DVIzlG8LX6fPgT929RXUlRERJVPRGgo9vXtCnG+4opbg3bsh2WdesoJiiq9H3/8ET4+Pjh27Bhq1KgBBwcH6OjoKNRZsGABqlWrpqQIK055J/2eS0/PxBrPPfjzij9kssLPM2oSMWbUNcfYCSNhYG5ebud63z7kl6GjVx/gn59+RZPwW9CUveiJZdupG/osX12uk86/z3aKjE/Ggk0HkXjqAFom+inMIVl78Ai0+GrOB9Pr70O9nwqk0sLefbvOIDe/8F4SiUQY070FPq1hhvDTx9Bs+ixoG737Ij7vu418noVj3oYD8AsIRfNEPzRNegIJBIg1NDBs//EPZqjvh3ovAYW9+xZtPYb/nb0JsSBD80Q/tEj0k08RIZJIUG/EZ2gycSo09PTf6Vzvs50EQcCJG4/w/ebDiE58MYy0VW0XfGGWjYd/roJYTR1NJk5FgzGfQ6JePl+ylLcP+V4CChfq+OqPvbjiGwig8MsIj8wA1Ip+BAgydF26Gm7de73zeTi8l8qNSCSCq5EabsbkK5Tvu3SXST8iopdINDSQV9UBWkFPFcr9jxxg0o9K9OjRI/j4+MDGxgZpaWl48OBBkTrp6enF7Ellpa+vi29njEaPnuGYuXYPnoTHwiA7Fdi1B3/t34zWPyxBs97v/gGcipeamY35K7dA/chWtM6Kk5dLjEzQ/edlcGjzYU2BYGNujA3zPsOJDo3x8+qtaBZwCXbZCQAA393bEeR1AR6/roR1g4+75+77EhKTiCmrdiLokR/6xd7BaYv6MHJ0wm9TPkGjavYAAJfmLZQcZdnVc6mKo0umYONRbyzdqYXHBnboEX0LfoZ2SPH2x2wbO2io8xX9fbn+KAhT1+xCVEIq9AqyMSjiMqq81LvP1NUNHRctRZVadZQXZBmJRCJ0b1YLbeq6YvE/x7Ht9HUAwJUHAXANP48qAGQF+bj++0oEnjuNLktWwsTZRblBqxBBEPDvhduY73lYvsqzZU4Shqc+gHpKvLye3+H95ZL0exfs6UcKoqOj8du6P7HDPwcv3xlisQi3N3yDKsZvllUmIlJV0dHR2PzzIhhcOKlQrmVkjDEXrkGizikRiF7nffX0e1lufgFW7z2HqNUL4ZwRLS/Xatsdn61cDjVNrfdy3vLyofWAuOUfgiXzl6DZ00vQlr3oBe3Yox86z/8Bmvrv53NkRbVTUlomvt24H5HHDqBtvC80nvf6E4nR+PPJaPLF1HLtwVjePrT76aC3D+b8tR9VYwPgEXsHmrICFFg7YsLBY9DVeT//diuyjZ4PV/Z5GgpABEEkQm0nG6z7cigczAzw5Ogh1Og78I1Wsq4oH9q9JJXKsHrfOfy255y8B7i+phqmpdyCNOwZRBIJGo2biMafT4ZEo/zmVqzIdvK6/xRf/bEXUQmpkMikaJn4GM2Tn0L03/yEalpaaP31fLgPGlqppqH50O4loLC36Ny/DuDgZZ/CAkFAp7wwNA6/C0Fa2BtZrK6BppOno8Ho8eXyd+Fdevp9GK1KFUpXXYzGbnYKZTKZgIPePsoJiIiokiowtYCupbVCWU5KMkIveykpIiJ6maa6Gr4e2hXD16xDjElVeXnOpeNY2ak9QorpaUlvTiqVYfXe81j9+SS09z8jT/hJjEzQ68+/0fPXFe8t4VeRTAx0sf6rkZjw04/YV6sPwrXNCjcIMtzcsgmpsbHKDVBFZOXkYea6PZixchvaBF1Gn+gb8iHiphIZZKlJSo6wfLjaVsHBnyZi7ojuUP+vd59vUCQ8Zq/B31/Nxrnv5+LQhFHIiON99S6iElPwyY8bsGL3WXnCr7m7E86s+grDN3jCqn5DfLJjP5pNnVmuCb+K1qauG86t/BJDOzaGVCyBl3ltbLVrjxRtIwBAQU4OLiycj+PTJyI7JVm5wX7AfJ6Fo+us1fKEn05BDqZnP0CjkJvyhJ9FrToYuvcIGo2bWCm+CGLSj4rVvUnRb9z3ed1TQiRERJWYSAS7Tl2LFD85ckAJwdCH4N69e7h48WKJ/12+fBmPHz9GQUFB6QdTsvPnz6NLly6oVq0aevbsidu3bys7pBI1blIP35w8heTWvVEgKvz4q50ciwMjBuDQyt/AgS9vLzoxFYMXbMTSnacQq/EisWfduj3GHDsLh1bKXfXyfejZvA72r/seod3H4pJZLcggwkGTehj5+wGExiQqO7wP2sPgKHjMXoOLx8/gs5AzqJMWIt9WrVc/DNl7BPpW1iUf4AOjJpFgSv/2OLJkMpytC+cb1UhLQuaFowCA8OtXsLN/dwRdOKvMMD9Yp289RueZq3H9cTBsshJgmZeC2UO7YPcP41HVwgSGtlUx4J9/YeFeW9mhlgsDXW0snzQQnl9/CiM9bcRomWCTbXvcM3KW1wk6fxo7+3dH+I2rSoz0wyOTyfDnoUvo880fCI0t/OLBvSAJM+K8oB3+YqqfBmM/x8Bte2Di7KqsUIvg8F4qVmZ2LuqOXYTsXMW5/c6unIEa9h/e6ndERO9LSmgwtvXoqFAmVtfA2Is3oGVoqKSoqLJq1aoVrly5Umo9Q0NDTJ48GQsWLIBaJfiW+FU3btxA69atMX/+fPTq1QtbtmyBp6cn7t27B1fXsn3QrYjhvcU5uPcI7v/yA0xyUuRlUtc6GLtxI/TNKtciH5V92NPpW48xc90eJKcXrkIqFovwlXYM2nfvhDqDh1fYEDJltZNMJsP6Q174a+s+JEoKF+TR09bEL5/3Q48Ghf8ONHT1Kiye0lTm+0kQBGw5cQ2Lth5FnTg/tIt/IF9YQV1HF+3mL0T13v3eexzKbKOsnDx8v/kwdp67BfvMOPSMuQH9ghz59tpDRqDVrG+gpqX8aQkq870EADl5+fhp23FsPn4VIkFAi0Q/tEx8DB0rG4w6dKLCFt9RZjtFJaZg2urduPYoCADgkhGF3vF3oZGXDQBwHzgEHX78uUJjKk5lv5cAID4lHTN+/xcXfV5K7rnZYWT8TcRe9wZQuNpz55+Xw65F6/cSA1fvpfdi6upd2P9K776Jfdpi/qfdlRQREVHltGf4AMTcV3xetv/hJ9QaNFRJEVFldePGDezfvx+XLl3C0KFDYWdnh7S0NFy7dg337t3D7NmzkZycDC8vL+zcuRNTpkzBqlWrlB12EX369EF2djZOnz4tL3N3d0fr1q3x559/lukYykr6AUBEVCzWTpwCm8A78rJUI0uM2ncUVauYVGgsr1NZX4Zy8vLx88Y9uL3/AO4bFa42amVqiN+nD0Fz94pffVTZ7XQvIBxTVu1EyEu9/CbLAmCdnYRuy1ajSu26FR5TcZTdTiVJTs/CV+v2wPvaXXSPuQWXzBj5Ngv32ui6bDWM7BwqJJbK0EaHrtzHnD/3IT89Dd1jbsMtI0q+zdTVDV2Xroapq3JXeK8M7VSSZ5HxmLjyf3gcEg39/Cz0ir4hX3wHAFp8+TUajv2iQmJRdjtJpTL8fuACVu4+C6lMBr2CbPSJuwMnXTHGHj4FdR2dCo/pVcpuo9J43Q/AtDW7EJ+SAaBwAZXJfdti1pAuyE9Nxs4BPWBeoyY6LV4GHVOz9xYH5/SjcpOQkABPT08kJCRgQDGr9R7wvgepVKaEyIiIKpeXn5fVevUtst2fQ3ypGFKpFE+ePMHVq1cxffp09OvXD6NGjcKff/6Jn3/+Gbt378b48eOxbds2/O9//8P69euRmZmp7LCLuHTpErp2VRza7uHhgYsXLyonoDdka10FPx/YDQyfhiyJJgQAx/Srocus1ThylfP8vU5gVDxGT/wWGht/QrfYO6ieFg6PJu44vWK6UhJ+lUF916o4tXw6BrRtAABwTw2FfoAP0iPCsGfEQNzZ/BcEGT8/F+fG42B0/moVTt16DIvcVIWEX/3R4zFw+54KS/hVFn1a1sWZFTPgXtMV+61b4ESVhsgXSQAAiQFPsXtIX/ju/h+nJXiFIAjYff4WPGavxuOQaLimR2JM6Bl5wk8kFqPplC9Rf/R4JUdacSQSMWYM7Ih9iz6HrbkxMtS08T+rllipWx/fbTulMKovLSpSiZFWPvkFUizZfgLDFnnKE35VdSXY8d0YzBvRDepqEuiYmmHQjv3otc7zvSb83lXlGy9CSpWfn4+IiAjk5+ejVR0XVDHWR2xyunx7TFIarjwMRJu6lWeMOhGRMrz8vHT16AnvXxZDVvDiw1P03dtIjQiHoW3V1xyFPjZr167FqFGjiv02u2PHjpg0aRLCwsJgZ2eHwYMHY8aMGXj69Cnq1y/6RZyypKenIzU1FZaWlgrllpaWiIws+aUhNzcXubm58p/T0tIAADk5OcjOzn4/wZZi3IzPcatVM/y1eiOiRWZATg6m/vY/eN31w9zhHtDRUu4q3DKZDLm5ucjOzq4UPSAOet3FsRUr0CzuEcQABDV19CkIw5iJfSFREyvt91gZ2kkC4NfxvdGypj1+27ALkRkWsM5JhgDgypqVCL52Be2+XwxdJQ4hrwzt9JxUKsOfhy/hj4NekAkC1MVAlpUjjGqZIfvOFbT7fhGqNmuJvAIpUFBx91VlaSMzfW3875tRWHvgIjYcESNG1xw9Ym7BPC8NBVIZLixZCEFdHa7deiklvsrSTs+lZ+Vg4dajOHrtIdRkUnRJeIj6qcGAqPA5pVulCtr/uARW9RogNy+v9AOWk8rSTrXsq+DQ4gn48e+jOHnzEfIk2th19jru+AVhxeSBsEAO9o8aAoc27dFy1rwKnZagsrTRyyLiUzDrjz24HxgJNRGgIeRjcF4wbJNjUct8ssLfOnVjE+S89NnmfXmXv69M+lGJ1CQS9G1dD38d9lYo3+d1l0k/IqKXaBsZw6FNewSdP61Q/uToQTT5YqqSoqLKKC4u7rU99zIyMhAfHw87OzsAgLm5ObS1tSsqvDKR/ddj6dW5BtXV1SGVSkvcb8mSJViwYEGR8t27d0NLyXNUudW2g9vLBYn+WLvGX1nhVGquLesiFYrDVVf89puSoqmcurkbA+7d8PL6mMkAHm3+W1khVVqj3BWfb0HQB9p5YKfXFcCr9PlPPwaj3bUBaAPoqXBPHfD1A3z9lBRV5WMO4LNaz4erNkcymsu3JQPYdvoscPrjXhDFCi+3EQBk4MCOLYX/27Uv4gHcWvdHxQdWCTXQBhootFU9xAD4feMmpcSTk5NTeqUSMOlHrzWgbYMiSb/j1x9iyfh+Sv/2m4ioMqnWq2/RpN+RA2j8+ZQKm8yeKr969ephyZIl6Nq1K8zNFXv8LF26FElJSXBzK0w/ZWVlISoqCi4uLsoItUT6+vrQ1NREYqLiKqUJCQlFrull8+bNw8yZM+U/p6WloWrVqhg8eDCqVVPu/FRA4dCwA94+WLztOGrGPEbbhEcAAHGdphixfBk09d9sDp3yIJPJkJCQADMzM6X1gHgSFoNfFv2Gen7noSMt7M0siESoO3o8Go/9HGKJRClxvawytNOr8vIL8Nueczi3/zA8Ym9Dv+BFTxD3T4ah6eTpkGhoVmhMlaGdzt31x7cbD6FKzDN0iruLq2buaDNmLCb0bA2JRPm/u8rQRsVJSs3AN5sO4dL9ADhlRiNB3RBV3VywfNIAOFiaVng8laGdZDIZ/j55Dav2nEOBVAZNaR7GhZyGpqwAACDW1EDzabNRo99ApX0OqwztVJxnEXGYuW4vAiLjAADV0yPQNfEBJPmFvSBFahI0+nwq6g77FKL3HHdlaaPs3Dws2X4Sey7dLSwQBHQoiEa9iDtAQeEXmmq6Omg1+1u4du1R4fGlpKTgl19+eat9mfSj13J3sEYNO0v4hb2YXyMrJw8nbjyUz1tCRESAY9v20DQwRG5aqrwsJTQEsQ98YFm38gzNJOWaNWsWdu3aBQcHB3Tv3h329vbyhTwePnyIZcuWQV9fHwCwadMmTJ06tdKt3isWi9GwYUNcvXoVkyZNkpdfvnwZjRs3LnE/TU1NaGoWTXJoaWlVmt6Mw7u2QNNarvhz7FiI/huuL9y9jE29u6P3b2vh1rx5KUcoXzKZDJqamtDW1q7wlyFBEPDP8Su4sPQntEx8Ii+XGJmiz6p1sGnUpELjeR1ltlNJtLWBH8f2RZv61TFn5T9oHnAJrpnRAIDHO7Yi7s5N9PXcDm0j4wqLSZnt9Hw11W1HvdApzgd1U4MBAJ3iH2BIfXvo6VXMaqqlqYz3EgDYaGtjy7dj4XnsCn7adhx5BVIkBkWhz/y/sGRCP7Q218CV5UvQcfFSGFjbvPd4lN1OCakZmPH7bly492I11VpuzmjQdjweb1wDExc3eCyrHAueVMb7qbarPQ7/Og2L/jmGrSevwVfXFmHqRhgUfxtmGfFAQT5ur16G2JvX0HnJivc6LUFlaCO/0GhMWrkDTyMKk6A6BTkYk+sPvYgAeR2LWnXgsXQ1DO3slRJj7jsMIa48dx5VCkZGRujXrx+MjIzkZcUl9/Y9z4ATEX2kXn1eSjQ04dq16OrmXNCDXmZpaYkbN25g0KBBOHfuHFasWAFPT09oampi586dmDVrlrzutGnT8MMPPygx2pJNmjQJ+/fvh5eXFwDgwIED8Pb2xsSJE5Uc2btzsTHHT0f2I63HKOSICxOumhnJODFhBPYtWgzZa4Ywq4qk9ExMWL4d55csRMOXEn5VmrfBZ0dPV6qEX2XXoUF1HP19LmI9RuG0RX0UiApfv/xScpGQ+3EsxPAsMh695q3Dkf3HMSr0rDzhBwCuXbrBwMZWidF9OEQiEcb1bIXDSybD0apw0YDMnDx8tep/2DZ+DCJuXsPOAd0RcOq4kiN9v7zuB6DzzFUKCb/JfdvhwOKJ6DB1GtrM/R6f7Dyg9IRfZaetqY6fx/fFpq9HwlBXG6kaeths3QbXTWtA+K9nZPi1y9jZvztCvC8qNdb3RRAEbD15DT3nrpUn/NzyEjEj3lsh4dfgswkYuO1fpSX83pVI4LI/VIqYpDQ0/vxnyGQvbhWxWITbG75BFeOKH+pCRFRZRd29jX2ffqJQpmVohDEXr0OizikRqKjMzExoampWut58ZbFo0SL8+uuvkEgkEIlE+PnnnxV6/pUmLS0NhoaG8PPzQ/Xq1d9jpG/v+MkLuPrDXFTJjJeXSe3dMGqDJ4xtKqY3TVxcHCwsLCqsB8TFe08wc90exCanQ68gG2NCTkMbUrT8ah4ajPysUk5XoIx2elMymQx/HLyEv//+F+1i7+GQVTNoGBph2cQB6NG8doXFUJHtJAgCtp2+gUVbDqNWzGO0SXgINaFwTlB1bR20nb8A1Xv3r1T31IdwLwFAZnYuvt10CHsu3oFJbho+ifSGUX6WfHvNAYPRZs53UNfRec1R3p4y2iknLx/Ldp7GX0e8IZJJ0TLxMbS0tTDm1yVoU9et9AMowYdyP0XGJ2PK6l246RcCALDPjMWAhDvQyHkxB3GzqTPR+PMp5X5uZbVRQmoG5vy5HydvPpKX9c0PRfWgm/KftU1M0WXJSti1bF1hcZUkJSUFxsbGSE1NhYHBm+VgKu+dR0qRmZmJmzdvKkwybmligFa1FecTkskK570hIvpYFfe8tKrfEAa2dgr1clJTEOp9qaLDo0pOEAT4+fnh2rVryMjIUHY4b+W7775DUlIS/P39kZCQ8EYJvw9Fd4/2mHz0OMKqt8Dzrz4loU+xuWdn3DywX6mxlbfs3Dx8u2E/hi/ejNjkdACAmpEpXL/8HkN3HUTDT8dUquTMh0YsFmNK//bYsGIurjTsi2w1TaRmZmPC8u34+s99CLxyGVF3bys7zHITnZiKEYs349e129Dv2Rl0iH8gT/iZ13DH4H8Po0afAbyn3pKutiZWTf0Ev08fglxDM/xt3wWP9avKtz/etxu7B/dBvP9jJUZZfh4ERqDb7DX487AXTHNS8GnoObRM9EOjqPtwzksu/QD0WjbmxtizYAK+HNQRIpEIobpVsN6mI0INX/TCrVKr7muO8GE5fv0h2s9YqZDw+6xbC0wc++KLe7sWrTFs//FKkfB7V0z6kYK0tDScOHECaWlpCuUD2nCILxHRy4p7XopEIlTv1bdIXQ7xpZdduHABbm5uqFmzJjp37oyHDx8CAObPn4/169crObo3o6GhASsrqw+yp2JZWZmb4td//4F4zBykqRXOPaiRn4Mtv63Hnot3oAqDZu48CcW4EZMh+XMhtKSF8wa1q+eGc799if6jh8G8hruSI1QdDd3scWr5dPRqUUdetv+EN/ZN/QL7Rg3B5WU/Iz87W4kRvhtBELDf6x46fvkbgq5expiQ06ia/d+iPyIR6o8ej0H/2wtjRyflBqoi+repj1PLp6OamwMOWzXFMctGyBMVLq6THByIf4f0w411qyDNe/v5wJQpv0CK3/49i17z1iEgPBZNE/0xOvQsLHNTAAAisRgJAU9efxAqEzWJBLOGdMG/P46HpYkBstU0sbNKM5yxqIfEeu2gV+fDn88/JSMLU1fvwvhl25CUVvilvYmBLjbP+RSLx/WBe+9+qNajD1rN/ga9//wbOu9xLsOKxKQflUm3pu7Q1lRXKHscEo3HIdFKioiIqHKqVkzSL/jieeSkphatTB8dPz8/dO/eHTVr1sTOnTtRq1Yt+bZx48Zh1apVyguOSiQWizFl5ufo5Lkb4aYOSFLXw3HTOpjx+78YtsgTYbFJyg7xrWRk5+KHlZux/dOhaOZ3DuZ5aege74PF4/pg+/wxsDThNC7vg6GuNtbPHIZlEwdAS0MdjZOfQjsvCxBkuLd1E7b39UD49SvKDvONRSakYOyv/2Dq6l1IzcxGjJYxcjUKE+UGtnYYsHUXWs2aV+GrFqs6RyszHPppEr7o0xa+ho7Y4tAZMZpGAABZQT5url+DXYN6I97v0esPVMk8CIxAr3nrsHz3GZhkJmFk2Hm0T/CV9xg1cXHDoB37UXfYp0qOVLW0qOWMMytmoHOjGoBIhDvGrtiYbY7201fi6LUHAABBJsPFRd8h3t9PydGWjSAIOHHjITp++Rv2e90DANhkJ+AzSSQurJqJrk0Kv9gSiUTo/MtK1B817r2vWlyRVOdK6L3S1dZEt6a1ipSztx8RkSIjOwdY1lX8NlSWn4dnp44pKSKqTNauXYtBgwbh0KFDGDJkiMLCWQ4ODkhPT0dISIjS4qPXa9qwFr49dhTJg6ch/79FPrzuB6D9jJX445dVSI2OUnKEZXfqui8mDxwFw7+XwCkzRl7etn51fNqpEYddvmcikQjDOjXB6RXTkdeqJy6a1ZYv8pERGY6D40bi7HdzkJ1c+RPKBVIpNhzxRrtpy3Hq1ovhpD3aNkb/39ai1ifDMHT/MVg3KHl1b3o3Gupq+G5UD+xZMAEGdg7YZtcBV02qQ4rCf8fJoSGQaHwYcwunZ+Xge8/D6DF3LfyfhaJDnA9Gh56Fdc5//xZEIjT4bAIG7z4Ei5pF30/p3ZkY6OLvuaPw25RPYKhbmLhPSM3A58v/h3FL/4G350b47v4f/h3SB1dXLUN+VlYpR1SeiLhkjF6yFeOWbkNMUhq0pHnoleCDkWEXUOXxVaTduaZQXxX/9jHpR2U2qF3RLr0HL/tAKpUpIRoiosqLQ3ypJP7+/hg8eLD851c/XFpZWSE2Nraiw6I3YKing1Vzx2HLvNGwMjUEAGhmpCDnf+vg6dEeexYtRkFu5R1K9ywyHlOnfofLk0aiUehNqAv/rUZsYAyPVesxcO2fXHioAjlbm2PP4i/Qa+5c7HTrgXBtM/k2vwN7sKVbe/hs2wxpfr4SoyzZTb9g9Pj6d+z4/S8M8T8K47x0mBvp4a9Zw7F2xlBUb9MG7b9fDA0dXWWH+lFoUcsZZ1fOwNg+7eBtUQdb7TshWtMYXkZu+OmkD+JT0pUdYolkMhkOevug3fQV8Dx+BTq5WRgXfBJNkgMg/m9WVWMnFwzYugstv5oLNU32GH2fRCIRPmnfEBdWz0TXxjXl5SeuP8SJjZ4AAFlBAe5sWo9tvTrhydGDlWq6i5y8fKw7cBHtZqzA2Tt+EAkC6qQEY3L4GbgnvliZ9/HBvUqMsmIw6UcKNDQ04OzsDI1ivglqWculyDCPmKQ0XHn4rKLCIyKqNF73vHTx6AGxmuKUCNH37iA1PKyiwqNKSktLC8nJxU86LggCQkNDYWpqWsFR0dvo3KgGLq7+CmO6t0CbxIdQF6RQl+YjZvdmrGrTDF7bt1eqF6Dk9CwsWLYB6wb0hduF/8Eir3A+UgGAU78h+PzMJbh26qrcID9SYrEYoz2aY//6HxHVewJOVmmAnP96khZkpMP718XY3qcrEp5UnqF0gVHxGLf0H0z86mfU8dqBAVFXYZGXhtEFgbi4+iv0bF6n9IPQe6GtqYEfRvfEoZ8nwsjFDf/Yd8A1k+rYdf42Wk9dhj8PXUJaSioOTxyD8BtXlR0uAOD6oyD0mrcOk1ftRExS4bOpQEcfhlbWAACJpiaaTfsKQ/cdZY/RClbF2ACecz7FHzOHwdRAFxCJsN22LbxNa0L6X+/kzNgYnJ47E3tHDES0j3JHAspkMuy7dBdtpi7Hz9tPIDsnD46ZMZgQfg7dY29DPbewV6K6rh7azP0e3X/7Q6nxVgSRUJk+jVClt2jrMfx52EuhbEDbBlgzbXAJexARfZyOTf8CQedOK5Q1nTwDTSZOU1JEVBn89NNPOHDgAK5cuQJNTU20bdsWP/30E1q1aoXNmzdj/vz5iIyMVMnhJa9KS0uDoaEh/Pz8UL16dWWH806u33mAffO/g224r8I36rlm1mg+cRpaDBr4VvMDyWQyxMXFwcLCAuK3nF8oOT0Lm45ehucxbwx+fBhmeS96+qjbu6DvkqWwrFPvrY5dWZRHO1UWgiDg5M1H+HXDv3D1u4w6aSEAgGyJBqRTFuPzId1gov92vebKo53CYpOw7uBFnD96Ck3iH6N6RqTCdutGTdBzzQZoGnyY80Gq0r0EFC6EseXkVazYfQbpWS96IHfNCED9SB8AgE2jpmgyaTpsmzQr83HLq53uBYRj9d5zOHPbD1VykhGraQSIROjYsDp+GtcHapHBuPnXWrT75kcY2tm/9XmURdXup9TMbPz271lsPn4VUpkMxnnp6Bh3Hy6ZivP827Vqi6YTp8Gybv1Sj1lebSSTyXDmth9+23MOvkGRgCDAPiseLZL8YJ8Vp1DXubMH2sz9HnpVLN/6fBUtJSUFxsbGSE1NhcEbPl+Z9CMFMpkM+fn5UFdXL/Yf3eOQaHT+apVCmY6WBnw2zYeuNrtYE9HHo7TnZeDZUzg+Y6JCmaGdPUYeO/9RJHSoeAkJCahduzb09fUxZswYbNu2DYMGDUJsbCw2bNiAdevW4YsvvlB2mBVClZJ+QOEzYfeuw/D5YyVsUyIUtuUaWaDu6PFoP3LEGw1Je5eXoYi4JGw7dR1bTl1HRnbhy37t1BD0iLkFwcAY7b/+BrV691OJycpV7cUaALJz8/HXES/8u30vWkXehp++He4au0BXSwMjujTFaI8WkIQ/g2XdemUejv0u7eQXGo0/DlzE3dNn0DjRH84vzQMJAIZ2Dmj51Vw4dej8Qf+NU8V7CSicj+3XHSex89xtCDIZhodfeLGq8n+sGzZGvZFj4NiuI8SlrMj+Lu0kCAK8HzzDugMXcflBAByzYtEs0R/22fG4Vr83JsyciHb1q73xNVZGqno/PQ2PxfebD8P7QeGIP8fMGHSM81H4UkmsroEx569C29jktcd61zbKyy/A0Wu+WLv/Ap6Ev5gexSgvA18En1CoW6V2XbScNQ82DZu88XmUjUk/KjfR0dHYsGEDJkyYACsrq2LrdJr5G/xCFf/Qr546GAOLmfOPiEhVlfa8lOblwrNdM+SmKa7aO3D7XljV4/PyY/b48WOMGDEC9+7dk5dpaWnh+++/x7x585QYWcVStaTfc1k5ediwaj0S92+HRZbiS/XdRn3g8elw9Gxeu0xflr7py1B+gRQXr93D6b+3QvP+FZy2qI9IncI54tQkYnzSph56aSSjxaejoaal9XYXWAmp6os1UDiVzrr95/G/09eRK33x2mZQkI2JQcegpm+IuoOHw71vfxjZO772WG/aTtm5eThy1Rf/O3MDDx4/w6dh5xRe6gFA29QcjT+fjFqDhkKirl7CkT4cqnwvAYXJ2xW7z+Dk9YeomRaGFomPYZqfoVBHz9IKtQYNQ7WefWBgY1vscd6mnRJTM7Dn4h387+xNxIaFo3ZqCOqlBsMoP1Nex6p+Iwzc9u/bX2Alo8r3kyAI8LofgGW7TuNeQDjEggy1U0PQItEPhgVZyG/QFr1+/gWutlXk++SkpkDL0EjhOG/bRsHRCdh59hZ2X7iNhNQMqMsK5Ats1XK0xrcjuyPdcwWCzp+GoZ09mk39Cq4ePT7YLyXeJen3+hQ+EYC8vDxERkYiMDAQgYGBkCSHAVD8RnGf110m/Yjoo5eVlSV/Xj579gwJOvowfSXp9+TIASb9PnI1a9bE3bt38ejRIwQFBUFbWxuNGzeGoaGhskOjcqCjpYEZc6cjbeoEbF27ETEHdsAyIw5pato4k6aG0+v24JuNB9CuXjV0qqKBem72qNakcak9a0qSkZ0L70vXcfPYMWTcuQabtCjY/TfpfYOUQMQZVMHgDo0wtV972FoYl+elUgWwNDHAonF98UXfdli7/wJ2n7+N3PwC1E0OhEgQIE1Lwd2N63B34zpo2jnDvUcvuLbvALNqNSCWSN74fImpGbh0/ynOXLyOM/5RyM79bwERiTqyJS8+/+taWqPRuM9Rs98nXFDhA1LD3gqbvv4UvkGRWPnvWWy6aYca6WFomegH0/8Suhkx0bj++wpc/30Fevy1FU4tW7/VuQRBQER8Ms7d8cfx6754cu8BHNOj0DwjErbZCXg19WLk4Iia/QdBEIQPNjHzMRGJRGhbzw1t6rri/N0n+G3PWdwLEMPX0AG1UkMQnKKHFdNXwt3RGr1a1EFzB3PcGDMAlnXrwaVzN1Rt3grGTs5lPp9MJoN/WCxO336MkzcewTcwAmZ5aXDOiEb3jEgY5GfhercvMHVQZ3RsUB0ikQjxk6bD1aMHXLp0e+u/saqAPf1Iwf3793Hw4EFIJBLk5+cjLi4OiYmK31LnChLcllUFXnpUi8Ui3PrrmyILfRARqarLly/j3LlzkEgkyM3NRWxsLFJSUhTq6GdloF6Iv0KZlqERxly8ztUx6aOnqj39XpWZnYs9/+zG+cu3cS5LW2Hb0LCLsM+OR75EHfnWjtBzcoVVteqwrVED5jZWMLOyRGpmJszMLZBXIEV8agbiktPhf/M2oq95ISMkEDrx4TDMzyr23IK9GwZt3QUrM6MKuFLlUeXeNK9KTM3A/87exIk9h+AUcg9uGZHylU1fJtPUhoZzdVi3aAv3QUNhYaQHDTUJEhLiYWZigrTsPCSnpCE0OAzBgcGIfBKA2IAnEMdHwzY7AZrSfKxy7QPhv4n6q9tZYrBpPoyf3kGdwcPg0qW7SvTse9XHdC8BQFBUAracuIrd52/BPDEMDZOfwTkzGiIAOWI1bKwxAPVqOMLdwRo17K2g++Q2JCkJsKnpDkFPD1Vd3aBuaIz03Hwkp2chOCIWQYEheBKTguvBsYhOLPzi0z01FL1ibhYbg12L1qj1yTA4tu/0Vonqyuxjup8EQcCdp2HYfOwKjl33RYFUprC9XkogPGIVF/lQNzKBeZ160KtqD/v6DWBsWxUSIxPkaukhMTUDQVEJCIyKh9+Dx3j2JABqqYkwzUtHldwU2GYlQFuWp3A8jxVr4dq1+3u/VmXg8F4qNzdv3sSJEycQGBiInJwcebmuri4cHR3h7OwMV1dXrDzuA2/fQIV9v/u0O77o07aiQyYiUorjx4/j1q1bRZ6XhoaGcHJykj8vH3zzJdJeWbW3++o/4dyxS0WHTEpw6NAhREdHl17xJX379oWl5YczufTb+liSfs89fyHad+kuTtx4iMyEBEwJPIKyvAbutG2LUF0L+c/1kwPRNa74FRLzdQ1h3rI9Oo0ZDataH8cKqh/Ti/VzBVIpzt99gmOnvBB96Qyck0NgnVN0ZfD7ho44YdlI/rO6rABfBRwo0zn21+yJRu3b4JP2jdCoWuEiCqreA+tjvJeAwh7DJ248xEFvHzy47YNqqaGQCDJcNnNXqDcowrvIfI7FOW1RH3eNXeQ/vzq/mrGTC1w6e6BG34EwrGpXfhdSyXys91NschoOX7mPg94+8HlWOMete2oomif5FZki4FUxmkbY4tBZoWxy4BHoF+SUsEchs+o10XDsF3Dr1vPdgq+kOLyXyo2xceGwj08++QQmJiYwMzODpaUl9PX1Ff7ID8pWK5L023vpHpN+RPTRqFq1Km7duoXBgwfD1NQU5ubmsLKygo6OjkK9vF79cPOP1QplT44cYNLvI7Fs2TJcuXLljfapVavWR5H0+9iIRCI0qmaPRtXssXhsH1y7+xDXduog5aEP9OJCoffaFxrF7+jjNV984JeKJSiwdoRlwyZo1a8P7Bs2UvnEDAFqEgm6NK6JLo1rImvWGHg/CMBV7+uIuOoNrchA2GXHQ0eah3iNNx+FI6hrwLBGbWyfPQo29Ru+h+ipstHT1sSgdg0xqF3D/4Z4B8DrfgAsHwQgJilNXs88N/U1R3lBW5oLbU11NHSzR7OajujSuCYi1qvDrFp1OLbrBBNnl9IPQh+sKsYGGN+zNcb3bI2QmERc9HmKyw8CsMe3GjSSYuCYFQu7rDhUzUqAplCgsG+mWtH5ZrPFmtCH4t9ILUMjWDVsDJtGTeDUrtMHubpzRWFPP1IglUqRk5MDLS0tSF7TvTorJw91xy5CVo5il9rTK6bD3cH6fYdJRKR0ZX1epoaF4p/u7RXKxOoaGHvxepHJjEn1xMTEKPQEBYCNGzciMDAQo0aNgoODA1JTU3H58mWcOnUKixcvRr169aD5EcyR9bH19HudzOxcPLh7H8/u3UfsE3/kxEZDmpEGZKVDVFCAgDodkV+lKsyN9GFmqAc7Q21YxAejRuNGsK9V86OfLuBj7U1TkrTMbPiFROGRjy+i0nIQmwfEJacjr6AA+VkZaHr7MCRiEdTU1aGmbwB9MzOYVa0Kt/r1YFmtGowdnT/a+a94LxUVn5KOxyHR8AuLQeyzZ8gICYQsJgLijBRo5uVAMz8bamIR1MRiaGhpQtfEBI6dPNBm+HCoq6nWcN03xftJkUwmQ0R8Ch6HRONJeCxi/9/efUdHVa19HP+lJ4QUQgJJ6FIMEFogIIQmIAhKx4qKigXkqlgQUeSKiqIiFkQUEBAQvYqggALSMfQeivTQhBBqOqn7/QMzL0MSCJBkwvD9rHXXdfbZ55xndmY2M8/scua8zh8+pLRj0fJKOifnC4lK8y2j5PotVKpkCVUKLK2qwQEyy36T24VEeZevIL/bqqlUlaryrVTZLnafzy+m98ImXvjif/plhfXUkme7tNCwPvY5pBYArtfMR+7Tia2brMpav/Wu6jzQ20YRwVZmzZqlOXPmaMqUKTmORUVFacCAAfrrr7+KPjAbIOl3dXxhzB/aKX9op6ujjfKHdsof2unqaKP8uZGkH60KK2fPntUPP/ygs2fP5no8ISFBO3fu1P79+9WjRf0cx3/9a6syL1u0EwDs0dX6y7Nnz2rHjh06dOiQbu/cLcfxPXN/LdwAUSxNmzZNvXr1yvVY3bp1dfbsWe3du7eIowIAAIA9ujXHbSNPqamp2rt3r1q3bm1VnpaWpmnTpmnx4sXKzMyUJAUGBqq8j6+OxaVa6p08l6DI7fvVqn6NogwbAIpcXv1lYmKiJk6cqDVr1ih7MP1tVSor0M1DTqkplnontm5S3JHDrEFyi0lKStKxY8dyPZaZmamYmBglJSUVcVQAAACwR4z0w1VlZWXp448/1urVq/XSSy/pu+++0+DBg3XmzBnVcjufo/7MFbnvJgcA9u7ChQsaPny49u/fr7feekvfffed+vXrp4PRhxQb2iBH/d3zfi36IGFTLVu21H//+19t2LDBqjwhIUHPPPOMHBwcVLt27TzOBgAAAPKPpB+uas6cOYqKitKrr76qxo0by8PDQw0bNlSzZs2UdCZGLrLecWf+uh1KSknN42oAYL+mTp2qEydO6M0331RoaKg8PDzUpk0b1apVS0fSs3T5Irp75v4qlta9tQwcOFDly5dX48aNFRoaqnvuuUctW7ZUhQoVNHXqVH3zzTdydb21N2UAAABAwSDphytKSkrSr7/+qvDwcNWsWdPqWLly5SRJNQOtF5JMSU3XH+t2FFmMAFAcxMTEaOnSpWrfvr2CgoKsjpUrV05pGRmSn79VedzRw4rZyujoW0nJkiUVGRmpkSNHysvLS1FRUTp58qQ6d+6sdevWqWfPnrYOEQAAAHaCpB+seHl5qX379vLy8pIkrVq1SsnJyWrXrl2e57SoWy1H2eW7+gKAvbm8v1y8eLGysrLUtm3bPM+p1PLOHGW7584utBhRPHl4eGjw4MFas2aNjh49qj179mjatGkKCwuzdWgAAACwIyT9YKVkyZJq2rSpSpYsKUnasGGDnJyc5Orqqr1791r97/jx45KkDk3rydHRweo6kdsP6MSZuCKPHwCKSm79pa+vr5KSknL0l7GxsZKk0Hu75rjOvgW/KzONJREAAAAAFCx274WVlJQUHTx4ULfddpvc3Ny0Z88eZWZm6u233861voODg2rXqKaWdatr+da9lnJjjH79a6v6d2tVRJEDQNG6tL9MS0vTiRMnJElDhw7Ntb63t7dua9JUPhUrKe7IYUt5anycDq1crqrtOhRJ3Char7zyijp27HjFEfOXO336tD788EM9+OCDatiwYSFGBwAAAHtG0g9Wzp8/r5kzZ1p2ELxw4YKaNGmS63S1Tz/9VAEBAXJ3d1fPVmFWST/p4hRfkn4A7NWl/eXp06clSe3bt1ejRo2s6qWlpemTTz5R9erV5eDgoJDO3bVu7GdWdXbPnU3Sz06VLl1anTp1Uu3atdWnTx916tTJ8lq4VFxcnFavXq0ZM2Zo1qxZqlGjhl588UUbRQ0AAAB7QNIPeTpz5owkqXr16qpfv77VsWPHjiklJUX16tWTJN3duLZKuLsq+UKapc7fR2K089Bx1a4cXGQxA4AtZPeXoaGhOfrLLVu2yBhj6S9vv7dbjqTfoRXLdCHuvNx9fIsgWhSlN954Q/fdd5/eeecdvf7663rppZfk6+urihUrytfXVxcuXNCpU6d06NAhGWNUp04djR07Vo899pgcHVmFBQAAANePT5PIU2ZmpiTJ3d09x7FVq1ZJklq2bClJKuHuqk53hOaoN3M5G3oAsH8ZGRmSJDc3txzHVq1aJRcXFzVr1kyS5FOhooIaWE/ZzMpI17758wo/UNhE9erVNW3aNB07dkyTJk1S165d5enpqZiYGKWmpiokJERvv/221qxZo6ioKD3++OMk/AAAAHDDGOmHPPn4+EiSEhISrMoTExP1559/qmHDhqpUqZKlvFerhjmSfL/+tVVvPtpRzk5OhR8wANiIr6+vpJz9ZUxMjFavXq127drJ29vbUh7SubtObNlkVXf33F9V58FHCj1W2I6/v7+eeOIJPfHEE7YOBQAAALcAfkaGFWdnZwUGBsrZ2VkVKlSQj4+PVq9erfT0dEkX16YaM2aMsrKy1LdvX6tzm9W+TYF+3lZlsecTFBm1v8jiB4Cicml/GRISIicnJ61cuVLGGEkXfyD57LPP5OfnpwcffNDq3God7pGji6tVWcy2zTp/5FBRhQ8AAADAzpH0g5WAgAA9++yzCggIkKOjox588EEdPXpUr732mr744gu9+OKLOnjwoN544w35+/tbnevk5KgeLRvkuOYvK7cUVfgAUGQu7S9Lliyprl27KioqSkOGDNHnn3+uF198UUlJSRo6dKhKlChhda67j4+qtLozxzX3zP21iKIHAAAAYO+Y3osratu2rUqVKqVVq1YpLS1N7du3V7t27eTl5ZVr/Z6twvTVryusyuav26GklFR5euRc6woA7MWDDz6o4OBgbd68WZmZmerZs6fatGmT67qokhTSpYcOLF5oVbZn3m9q/NyLOXZ2BQAAAIBrRdIPVk6cOKFvv/1Wffv2VVBQkCQpLCxMYWFh+To/pGKgalcJ1s7o45aylNR0/bFuh+5r3fAKZwLAzSW3/rJly5aWDY6uplKLVnL3LaUL589ZyuKOHlbM1s05NvoAAAAAgGvF9F7kkL1r7/Xq1SpngpBdfAHYoxvpL51cXFX97ntylO+eM+tGQgIAAAAASST9UAi6Na8vR0frqWmrdhzQ8TPnbRMQABRTIZ275yjbt/APZaal2iAaAAAAAPaEpB8KXJlSXmpVr7pVmTFGv/611TYBAUAxVbZufflWqmxVlhofp+gVy2wTEApFVFSU+vbtq3r16qlq1aoKCwvT/fffr1GjRmn79u22Dg8AAAB2iqQfCkXPXKb4/rJii4wxNogGAIonBwcH3X5vtxzl7OJrP1atWqXw8HDNmDFDrq6uCg4OVnp6un7++WcNGjRIdevWVf369TV79mxbhwoAAAA7Q9IPVvz9/dW/f3/5+/vf0HXublxbnu6uVmW7j8Ro56ETN3RdACguCqq/zC3pd2jlMqVcssEHbl6ffPKJbr/9dh05ckQbNmzQX3/9pWXLLo7kfP/99/XFF1/Iw8NDPXr00KOPPqr09HQbRwwAAAB7QdIPVlxcXFSmTBm5uLjc0HU83FzV6Y46OcpnLt90Q9cFgOKioPpLnwoVFRTWyKosKyNd+xbMu6Hrong4fvy4HnroIQUEBOQ4VqVKFT3//PNas2aNFi5cqD///FP/+c9/bBAlAAAA7BFJP1g5f/685syZo/Pnz9/wtXq1zjnF99fIrcq4wd2BAaA4KMj+MrcNPZjiax9CQkIUFRV11Xrt27fXvHnzNGHCBO3fv78IIgMAAIC9I+kHKykpKdqyZYtSUlJu+FrNat+moNI+VmWnzifqryi+zAC4+RVkf1mtfSc5ulgviRCzbYvOH46+4WvDtp5//nnNnDlTX3/99VXrhoeHq3Llylq9enURRAYAAAB7R9IPhcbR0VE9WjTIUf7Lis02iAYAii93Hx9Vad0mR/luRvvd9Bo2bKivvvpKAwYMUPPmzTVjxgwlJCTkWvf48eOKiYmRq6trrscBAACAa0HSD4WqZ6ucSb/563YqMSXVBtEAQPEV0qVHjrI9835j13M78PTTT2vFihVKSkpS7969Vb16dUnSd999pxEjRmj06NEaNGiQGjVqJA8PD3Xo0MHGEQMAAMAeONs6ANi32ysGKrRKsHZEH7eUXUhL1x9rd+j+OxvaMDIAKF4qNW8pd99SunDJrr3xx47oxJZNCr5sow/cfJo3b67NmzdrxYoV+umnn7RixQotWrRICxYskHRxdHyLFi30+eefq1SpUjaOFgAAAPaAkX6w4unpqYiICHl6ehbYNXPb0GPmCnbxBXBzK+j+0snFVdU73pujfPfc2QVyfdieg4ODWrdura+++ko7d+5USkqKDh06pH379ik+Pl7Lly9XvXr1bB0mAAAA7ARJP1jx9vZWu3bt5O3tXWDX7Na8vpwcrV9qq3cc1PEz5wvsHgBQ1Aqjv8xtF9/9C39XRipLItgjFxcXVapUSdWqVSvQH9sAAAAAiaQfLpOamqpDhw4ptQC/YAb4eqlVvepWZcYYzV65tcDuAQBFrTD6y7J16sm3UmXr+8TH69DKpQV2DwAAAAC3BpJ+sHL27Fl99913Onv2bIFet2ernFN8f1mxmQXqAdy0CqO/dHBw0O25jPZjF18AAAAA14qkH4pEh8a1VNLDzapsz9GT2nnJBh8AAOn2e7vlKDu8crlSzhXsjzEAAAAA7BtJPxQJDzdX3dO0To7yn1dstkE0AFB8+ZSvoOCG4VZlWRnp2rdgno0iAgAAAHAzIumHItOzZc4pvr9FblVGZqYNogGA4ospvgAAAABuFEk/WHF0dJSXl5ccHQv+pdG0dhUF+/tYlZ06n6iV2/YV+L0AoLAVZn9ZvX0nObm6WpWdjNqqc4cOFvi9AAAAANgnkn6wUrZsWb388ssqW7ZsgV/b0dFRPVo0yFH+y4otBX4vAChshdlfunl7q0rrtjnK98z7rcDvBQAAAMA+kfRDkcptF98F63cqMSXVBtEAQPGV2xTfPfN+ZddzAAAAAPlC0g9WTp48qdGjR+vkyZOFcv0aFcqqzm3lrMoupKXr9zXbC+V+AFBYCru/rNS8pdxL+VmVxR87qhNbNhbK/QAAAADYF5J+sJKVlaWEhARlZWUV2j165TLabya7+AK4yRR2f+nk4qoaHe/NUb57zuxCuR8AAAAA+0LSD0WuW4v6crps4fs1Ow/qn9PnbRMQABRTuU3x3bfwd2WksiQCAAAAgCsj6Yci5+9TUq3q17AqM8Zo9ko29ACAS5UNrSvfylWsytISEnRoxRIbRQQAAADgZkHSDzbRq1Vuu/huZoF6ALiEg4ODQnIZ7bd77q9FHwwAAACAmwpJP1jx8/NTnz595Of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",
      "text/plain": [
       "<Figure size 1300x460 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import Arc\n",
    "\n",
    "_t_now = t_pend_slider.value\n",
    "_th_small_now = np.interp(_t_now, t_pend, theta_small)\n",
    "_th_full_now = np.interp(_t_now, t_pend, theta_pend)\n",
    "\n",
    "_fig3, (_ax_small, _ax_full, _ax3) = plt.subplots(\n",
    "    1, 3, figsize=(13, 4.6), gridspec_kw={\"width_ratios\": [1, 1, 2.4]})\n",
    "\n",
    "# left: the two pendulums, with the angle from straight down marked\n",
    "for _axp3, _th, _name, _c3 in [\n",
    "    (_ax_small, _th_small_now, \"small-angle\\nformula\", \"#1a5276\"),\n",
    "    (_ax_full, _th_full_now, \"full equation\\n(loop)\", \"#922b21\"),\n",
    "]:\n",
    "    _xb3 = np.sin(_th)\n",
    "    _yb3 = -np.cos(_th)\n",
    "    _axp3.plot([0, 0], [0, -1.15], color=\"grey\", linestyle=\"--\", linewidth=1)\n",
    "    _deg = np.rad2deg(_th)\n",
    "    _axp3.add_patch(Arc((0, 0), 0.7, 0.7, theta1=min(-90, -90 + _deg),\n",
    "                        theta2=max(-90, -90 + _deg), color=\"#555\", linewidth=1.5))\n",
    "    if abs(_deg) >= 15:    # at small angles the label would sit on the rod\n",
    "        _mid = np.deg2rad(-90 + _deg / 2)\n",
    "        _axp3.text(0.5 * np.cos(_mid), 0.5 * np.sin(_mid), r\"$\\theta$\", fontsize=13,\n",
    "                   ha=\"center\", va=\"center\", color=\"#555\")\n",
    "    _axp3.plot([0, _xb3], [0, _yb3], color=_c3, linewidth=3.5, solid_capstyle=\"round\")\n",
    "    _axp3.add_patch(plt.Circle((_xb3, _yb3), 0.09, color=_c3, zorder=5))\n",
    "    _axp3.plot(0, 0, \"o\", color=\"#333\", markersize=9, zorder=6)\n",
    "    _axp3.text(0, -1.42, rf\"$\\theta = {_deg:.0f}^\\circ$\", ha=\"center\", fontsize=13,\n",
    "               color=_c3)\n",
    "    _axp3.set_xlim(-1.3, 1.3)\n",
    "    _axp3.set_ylim(-1.55, 1.2)\n",
    "    _axp3.set_aspect(\"equal\")\n",
    "    _axp3.axis(\"off\")\n",
    "    _axp3.set_title(_name, fontsize=12, color=_c3)\n",
    "\n",
    "# right: the angle over time, with a marker at the current time\n",
    "_ax3.plot(t_pend, np.rad2deg(theta_small), color=\"#1a5276\", linewidth=2,\n",
    "          label=r\"small-angle formula $\\theta_0\\cos\\omega t$\")\n",
    "_ax3.plot(t_pend, np.rad2deg(theta_pend), color=\"#922b21\", linewidth=2, linestyle=\"--\",\n",
    "          label=r\"full equation with $\\sin\\theta$ (loop)\")\n",
    "_ax3.axvline(_t_now, color=\"grey\", linewidth=1)\n",
    "_ax3.plot(_t_now, np.rad2deg(_th_small_now), \"o\", color=\"#1a5276\", markersize=9)\n",
    "_ax3.plot(_t_now, np.rad2deg(_th_full_now), \"o\", color=\"#922b21\", markersize=9)\n",
    "_ax3.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_ax3.set_xlim(0, 8)\n",
    "_ax3.set_ylim(-180, 180)\n",
    "_ax3.set_yticks([-180, -90, 0, 90, 180])\n",
    "_ax3.set_xlabel(r\"$t$ (s)\", fontsize=12)\n",
    "_ax3.set_ylabel(r\"$\\theta$ (degrees)\", fontsize=12)\n",
    "_ax3.set_title(rf\"$l = 1$ m, released from rest at $\\theta_0 = {theta0_slider.value}^\\circ$,   $t = {_t_now:.2f}$ s\",\n",
    "               fontsize=12)\n",
    "_ax3.legend(fontsize=10, loc=\"upper center\", bbox_to_anchor=(0.5, -0.17), ncol=2)\n",
    "_ax3.grid(True, alpha=0.3)\n",
    "_fig3.tight_layout()\n",
    "_fig3;"
   ]
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    "<details><summary><b>What to notice</b></summary>\n",
    "\n",
    "\n",
    "Up to about 20° the two pendulums swing together. By 60° the real pendulum is clearly slower: run the time slider and watch the red one fall behind, because big swings take longer than the formula's period $2\\pi/\\omega \\approx 2.0$ s. Near 170° it hangs near the top for a long time before each swing. The formula's period never depends on $\\theta_0$; the real one does.\n",
    "\n",
    "</details>\n",
    "\n",
    "## Summary\n",
    "\n",
    "- `np.roots([p, q, r])` solves the auxiliary equation $pm^2 + qm + r = 0$. Coefficients go highest power first, and a missing term is a 0.\n",
    "- For the damped oscillator the roots tell you the behaviour: the real part sets the decay, the imaginary part the oscillation. As the friction $k$ grows the roots meet at $k = \\omega$ (critical damping) and split along the real axis.\n",
    "- A second-order ODE can be stepped forward by updating two numbers, position and velocity. This needs no formula, so it also works for nonlinear equations like the pendulum, where the auxiliary equation doesn't apply.\n",
    "\n",
    "**In the lab:** a car's suspension is a damped spring. You will find its roots, code its solution from the formula, and work out how much damping it needs."
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