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   "source": [
    "# ECE 606 Lecture 6.5: Analytical and numerical solution strategies\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 37110](https://nanohub.org/resources/37110) — [video](https://nanohub.org/resources/37783) · [slides](https://nanohub.org/resources/37782) · [YouTube](https://youtube.com/watch?v=vq93EbAk6oc)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- the analytical route for closed systems: five steps from an ansatz to a determinant whose zeros are the energies\n",
    "- the transfer-matrix method for open systems: simple and appealing, but limited to flat potentials and a moderate number of thin layers\n",
    "- discretizing the Schrödinger equation on a grid: the three-point second derivative from a Taylor expansion, $t_0 = \\hbar^2/(2ma^2)$\n",
    "- the Hamiltonian as a tridiagonal matrix and the energies as its eigenvalues, the same structure as a tight-binding chain with one s orbital per site\n",
    "- closed boundary conditions give wrong answers for devices from which electrons leak out: open boundary conditions are needed\n",
    "\n",
    "**In this notebook** solves a finite well with the five-step determinant, shows where the transfer matrix needs slicing and where it loses precision, builds the finite-difference Hamiltonian by hand and checks it against open-nemo's, measures its discretization error, compares a closed box with the open system, and explores how a position-dependent mass must be discretized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c625ee14",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:10.722069Z",
     "iopub.status.busy": "2026-10-25T17:26:10.721668Z",
     "iopub.status.idle": "2026-10-25T17:26:11.193003Z",
     "shell.execute_reply": "2026-10-25T17:26:11.192605Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "\n",
    "style.use(notebook=True)\n",
    "H2M0 = nemo.core.units.HBAR2_2M0          # ħ²/2m₀ = 0.0381 eV nm²\n",
    "EM = nemo.structures.materials.EffectiveMassMaterial"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18d647d2",
   "metadata": {},
   "source": [
    "## 1. The analytical route: five steps to a determinant\n",
    "\n",
    "For a closed system, such as an electron in a finite well, Lecture 6.1 and earlier lectures of the\n",
    "course followed five steps:\n",
    "\n",
    "1. write the solution in each region of constant potential as a superposition of two exponentials\n",
    "   (plane waves where $E > U$, growing and decaying exponentials where $E < U$): $2N$ unknown\n",
    "   coefficients for $N$ regions;\n",
    "2. require the wave function to vanish at $x \\to \\pm\\infty$, which removes 2 unknowns;\n",
    "3. require $\\psi$ and $d\\psi/dx$ to be continuous at each of the $N - 1$ interfaces: $2N - 2$\n",
    "   homogeneous linear equations for the $2N - 2$ remaining unknowns;\n",
    "4. a nonzero solution exists only where the determinant of the coefficient matrix vanishes; find\n",
    "   those energies graphically or numerically;\n",
    "5. normalize $\\int|\\psi|^2dx = 1$ to fix the last coefficient.\n",
    "\n",
    "![Slide 3: five steps for the closed-system analytical solution](attachment:slide_003.png)\n",
    "\n",
    "*Slide 3: ansatz, boundary conditions at the edges and at each interface, determinant equal to zero,\n",
    "normalization.*\n",
    "\n",
    "For a well of width $W = 6$ nm and depth $V_0 = 0.4$ eV (mass $m = 0.067\\,m_0$ everywhere), the three\n",
    "regions give four unknowns $(D, A_+, A_-, E')$ in $\\psi = De^{\\gamma x}$ (left),\n",
    "$A_+e^{ikx} + A_-e^{-ikx}$ (well), $E'e^{-\\gamma x}$ (right), with $k = \\sqrt{2mE}/\\hbar$ and\n",
    "$\\gamma = \\sqrt{2m(V_0 - E)}/\\hbar$, and four matching equations at $x = 0$ and $x = W$. Step 4 is\n",
    "done here numerically: the determinant of the 4×4 matrix is evaluated on an energy grid and its\n",
    "sign changes are refined with a root finder."
   ],
   "attachments": {
    "slide_003.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a36eb218",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:11.194320Z",
     "iopub.status.busy": "2026-10-25T17:26:11.194222Z",
     "iopub.status.idle": "2026-10-25T17:26:11.293177Z",
     "shell.execute_reply": "2026-10-25T17:26:11.292784Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "zeros of the 4×4 determinant (eV): [0.07823 0.28699]\n",
      "largest |Re det| / |det| on the grid: 1.4e-13\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 825x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import brentq\n",
    "from scipy.linalg import eigh_tridiagonal\n",
    "\n",
    "M, W, V0 = 0.067, 6.0, 0.4\n",
    "\n",
    "\n",
    "def coefficient_matrix(E):\n",
    "    \"\"\"Rows: ψ and ψ' continuous at x = 0 and x = W; columns: D, A+, A-, E'.\"\"\"\n",
    "    k, g = np.sqrt(M * E / H2M0), np.sqrt(M * (V0 - E) / H2M0)\n",
    "    ep, em, eg = np.exp(1j * k * W), np.exp(-1j * k * W), np.exp(-g * W)\n",
    "    return np.array(\n",
    "        [[1, -1, -1, 0], [g, -1j * k, 1j * k, 0], [0, ep, em, -eg], [0, 1j * k * ep, -1j * k * em, g * eg]]\n",
    "    )\n",
    "\n",
    "\n",
    "def det_real(E):\n",
    "    # the determinant is a complex number of constant phase (i times a real function) here\n",
    "    return np.linalg.det(coefficient_matrix(E)).imag\n",
    "\n",
    "\n",
    "grid = np.linspace(1e-4, V0 - 1e-4, 4000)\n",
    "d = np.array([det_real(e) for e in grid])\n",
    "roots = [brentq(det_real, grid[i], grid[i + 1]) for i in np.nonzero(np.sign(d[:-1]) != np.sign(d[1:]))[0]]\n",
    "print(\"zeros of the 4×4 determinant (eV):\", np.round(roots, 5))\n",
    "dets = np.array([np.linalg.det(coefficient_matrix(e)) for e in grid])\n",
    "print(f\"largest |Re det| / |det| on the grid: {np.max(np.abs(dets.real) / np.abs(dets)):.1e}\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7.5, 3.6))\n",
    "ax.plot(grid, d, color=style.OPEN_NEMO)\n",
    "ax.axhline(0, color=style.CONTEXT, lw=0.7)\n",
    "for r in roots:\n",
    "    ax.axvline(r, color=style.CONTEXT, ls=\"--\", lw=0.8)\n",
    "ax.set(\n",
    "    xlabel=\"E (eV)\", ylabel=\"Im det (1/nm²)\", ylim=(-0.06, 0.06), title=\"6 nm, 0.4 eV well: step 4, det = 0\"\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1aa75dd2",
   "metadata": {},
   "source": [
    "The determinant crosses zero at two energies, 0.0782 and 0.2870 eV, the two bound states of the\n",
    "well. (Its real part vanishes identically, to $10^{-13}$ of its magnitude, so the imaginary part is\n",
    "plotted.) The same\n",
    "energies follow from the familiar transcendental equations $\\tan(kW/2) = \\gamma/k$ and\n",
    "$-\\cot(kW/2) = \\gamma/k$ (Section 4 checks them against the discretized Hamiltonian). The method is\n",
    "exact, but each new structure needs its own ansatz and its own matrix, and the size of the matrix\n",
    "grows with the number of regions.\n",
    "\n",
    "## 2. The transfer matrix and its limits\n",
    "\n",
    "For open systems Lecture 6.1 replaced the determinant by the transfer matrix: one 2×2 matrix per\n",
    "interface, multiplied in order. Klimeck calls it \"very appealing\", and it works well \"for simple\n",
    "structures like these, where you have flat bands, not too many barriers, not too thick of\n",
    "barriers\", but \"it doesn't work all that well for realistically large devices\". Two reasons can be\n",
    "seen directly.\n",
    "\n",
    "**Flat potentials only.** The plane-wave ansatz needs a constant potential in each layer. A\n",
    "barrier under an applied bias has a sloped top; the transfer matrix must cut it into $n$ flat\n",
    "slices. Here a 5 nm, 0.3 eV barrier drops by 0.1 eV across its width (the right contact is at\n",
    "$-0.1$ eV), and the sliced transfer matrix is compared with open-nemo, which simply puts the sloped\n",
    "potential on its grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "932f8106",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:11.294253Z",
     "iopub.status.busy": "2026-10-25T17:26:11.294182Z",
     "iopub.status.idle": "2026-10-25T17:26:13.019308Z",
     "shell.execute_reply": "2026-10-25T17:26:13.018870Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " slices n   largest |ln(T sliced TMM / T open-nemo)|\n",
      "     1           2.8e-02\n",
      "     2           1.1e-02\n",
      "     4           3.0e-03\n",
      "     8           7.6e-04\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    16           1.9e-04\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    32           5.5e-05"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    64           2.1e-05\n"
     ]
    }
   ],
   "source": [
    "def interface_steps(E, widths, pots, v_left=0.0, v_right=0.0, m=M):\n",
    "    \"\"\"2×2 matrices S_j with [A_j, B_j] = S_j [A_j+1, B_j+1] for flat layers between two contacts.\"\"\"\n",
    "    k = [np.sqrt(m * (E + 1e-12j - v) / H2M0) for v in (v_left, *pots, v_right)]\n",
    "    d = (0.0, *widths)\n",
    "    steps = []\n",
    "    for j in range(len(k) - 1):\n",
    "        kj, kn = k[j], k[j + 1]\n",
    "        ep, em = np.exp(1j * kj * d[j]), np.exp(-1j * kj * d[j])\n",
    "        Wj = np.array([[ep, em], [1j * kj * ep, -1j * kj * em]])\n",
    "        Wn = np.array([[1, 1], [1j * kn, -1j * kn]])\n",
    "        steps.append(np.linalg.solve(Wj, Wn))\n",
    "    return steps, k\n",
    "\n",
    "\n",
    "def tmm_T(E, *args, **kw):\n",
    "    out = []\n",
    "    for e in np.atleast_1d(E):\n",
    "        steps, k = interface_steps(e, *args, **kw)\n",
    "        total = np.linalg.multi_dot(steps) if len(steps) > 1 else steps[0]\n",
    "        out.append((k[-1].real / k[0].real) / abs(total[0, 0]) ** 2)\n",
    "    return np.array(out)\n",
    "\n",
    "\n",
    "Vb, Lb, DX = 0.1, 5.0, 0.01\n",
    "gaas, bar = EM(\"GaAs\", M, 12.9), EM(\"barrier\", M, 12.9, conduction_band_edge=0.3)\n",
    "dev = nemo.Heterostructure1D([nemo.Layer(gaas, 5.0), nemo.Layer(bar, Lb), nemo.Layer(gaas, 5.0)], spacing=DX)\n",
    "u = -Vb * np.clip((dev.x - 5.0) / Lb, 0, 1)  # linear drop across the barrier, -0.1 eV in the right contact\n",
    "E = np.linspace(0.01, 0.5, 120)\n",
    "T_nemo = nemo.Transport(dev.hamiltonian).transmission(E, potential=u)\n",
    "print(\" slices n   largest |ln(T sliced TMM / T open-nemo)|\")\n",
    "errors = []\n",
    "for n in (1, 2, 4, 8, 16, 32, 64):\n",
    "    centres = (np.arange(n) + 0.5) / n * Lb\n",
    "    T_tmm = tmm_T(E, [Lb / n] * n, 0.3 - Vb * centres / Lb, 0.0, -Vb)\n",
    "    errors.append(np.abs(np.log(T_tmm / T_nemo)).max())\n",
    "    print(f\"   {n:3d}           {errors[-1]:.1e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4d48524",
   "metadata": {},
   "source": [
    "The error falls as $1/n^2$ (a factor of four per doubling) until it reaches the discretization\n",
    "error of open-nemo's 0.01 nm grid, about $2\\cdot10^{-5}$, at 64 slices. Slicing works, but every\n",
    "non-flat region of a device (band bending, applied bias, graded alloys) multiplies the number of\n",
    "layers.\n",
    "\n",
    "**Loss of precision.** Inside a barrier the transfer matrix carries a growing and a decaying\n",
    "exponential, $e^{\\pm\\gamma x}$. Starting from the transmitted wave on the right and multiplying\n",
    "towards the left is stable: the growing exponential is the one that matters. Starting instead from\n",
    "the incident and reflected waves on the left, $[A, B] = [1, r]$, and propagating to the right, the\n",
    "wave function on the right should be the transmitted wave alone, $[t, 0]$. In floating-point\n",
    "arithmetic $r$ carries a relative error of $\\epsilon \\approx 10^{-16}$, and this error feeds the\n",
    "exponential that grows towards the right, by $e^{2\\gamma L}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c8b09699",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:13.020510Z",
     "iopub.status.busy": "2026-10-25T17:26:13.020429Z",
     "iopub.status.idle": "2026-10-25T17:26:13.023326Z",
     "shell.execute_reply": "2026-10-25T17:26:13.022925Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "E = 0.2 eV, V0 = 0.4 eV: γ = 0.593 1/nm\n",
      " width (nm)   γL     |F/E| on the right, forward propagation   ε e^(2γL)\n",
      "      2       1.19            4.2e-16                       2.4e-15\n",
      "      5       2.97            5.9e-15                       8.3e-14\n",
      "     10       5.93            7.6e-12                       3.1e-11\n",
      "     15       8.90            3.5e-10                       1.2e-08\n",
      "     20      11.86            4.3e-07                       4.4e-06\n",
      "     25      14.83            1.1e-04                       1.7e-03\n",
      "     30      17.79            1.8e-01                       6.3e-01\n"
     ]
    }
   ],
   "source": [
    "E0, V = 0.2, 0.4\n",
    "g = np.sqrt(M * (V - E0) / H2M0)\n",
    "print(f\"E = {E0} eV, V0 = {V} eV: γ = {g:.3f} 1/nm\")\n",
    "print(\" width (nm)   γL     |F/E| on the right, forward propagation   ε e^(2γL)\")\n",
    "widths = np.array([2, 5, 10, 15, 20, 25, 30])\n",
    "ratios = []\n",
    "for L in widths:\n",
    "    steps, k = interface_steps(E0, [L], [V])\n",
    "    total = steps[0] @ steps[1]\n",
    "    r = total[1, 0] / total[0, 0]  # reflection amplitude B/A\n",
    "    c = np.array([1.0, r])\n",
    "    for S in steps:  # forward: [A_j+1, B_j+1] = S_j⁻¹ [A_j, B_j]\n",
    "        c = np.linalg.solve(S, c)\n",
    "    ratios.append(abs(c[1] / c[0]))\n",
    "    print(\n",
    "        f\"   {L:4.0f}      {g * L:5.2f}            {ratios[-1]:.1e}                       \"\n",
    "        f\"{2.2e-16 * np.exp(2 * g * L):.1e}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b27bcc84",
   "metadata": {},
   "source": [
    "The amplitude of the wave incident from the right, which should be zero, grows exponentially with\n",
    "the barrier width and follows $\\epsilon e^{2\\gamma L}$. At a width of 30 nm ($\\gamma L \\approx 18$)\n",
    "the spurious wave reaches 20 % of the transmitted one, and the wave function computed this way is\n",
    "meaningless. Lecture 6.1 showed the same loss in $\\det M$. Stable formulations (scattering matrices,\n",
    "or the Green's functions with open boundary conditions that open-nemo uses) avoid multiplying growing\n",
    "exponentials; Klimeck points to his nanoHUB course for them (Further reading).\n",
    "\n",
    "## 3. Discretizing the Schrödinger equation\n",
    "\n",
    "The fully numerical route needs no ansatz. Space is replaced by a grid of points $x_i = x_0 + ia$\n",
    "with spacing $a$, and the wave function by its values $\\psi_i = \\psi(x_i)$. Adding the Taylor\n",
    "expansions of $\\psi(x_0 + a)$ and $\\psi(x_0 - a)$ cancels the odd terms:\n",
    "\n",
    "$$\\psi(x_0 + a) + \\psi(x_0 - a) - 2\\psi(x_0) = a^2\\frac{d^2\\psi}{dx^2}\\bigg|_{x_0} + \\frac{a^4}{12}\\frac{d^4\\psi}{dx^4}\\bigg|_{x_0} + \\dots\n",
    "\\quad\\Rightarrow\\quad\n",
    "\\frac{d^2\\psi}{dx^2}\\bigg|_i \\approx \\frac{\\psi_{i-1} - 2\\psi_i + \\psi_{i+1}}{a^2}.$$\n",
    "\n",
    "![Slide 8: the second derivative on a finite mesh](attachment:slide_008.png)\n",
    "\n",
    "*Slide 8: the Taylor expansions to the left and to the right, and their sum.*\n",
    "\n",
    "The neglected term is of order $a^2$. For a plane wave $e^{ikx}$ the three-point formula gives\n",
    "$-(2/a^2)(1 - \\cos ka)$ instead of $-k^2$, so the kinetic energy on the grid is\n",
    "\n",
    "$$E_\\mathrm{grid}(k) = 2t_0(1 - \\cos ka), \\qquad t_0 = \\frac{\\hbar^2}{2ma^2},$$\n",
    "\n",
    "a cosine band. This is the dispersion of a tight-binding chain with one s orbital per site and\n",
    "nearest-neighbour coupling $-t_0$; Klimeck remarks that the natural grid spacing is therefore the\n",
    "atomic spacing of the crystal, which is what atomistic tight-binding models use. Below, the grid\n",
    "dispersion is compared with the parabola $\\hbar^2k^2/2m$ for three spacings, including one GaAs\n",
    "monolayer (0.2825 nm, half the cubic lattice constant)."
   ],
   "attachments": {
    "slide_008.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6d0b8ed8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:13.024278Z",
     "iopub.status.busy": "2026-10-25T17:26:13.024193Z",
     "iopub.status.idle": "2026-10-25T17:26:13.146609Z",
     "shell.execute_reply": "2026-10-25T17:26:13.146317Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " spacing a (nm)   t0 (eV)   zone edge π/a (1/nm)   E_grid/E_parabola at E_parabola = 0.1 eV\n",
      "     0.1000        56.865           31.42                  0.9999\n",
      "     0.2825         7.125           11.12                  0.9988\n",
      "     0.5000         2.275            6.28                  0.9963\n"
     ]
    },
    {
     "data": {
      "image/png": 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dN6fbm9bYkgmxa2lrZe3YbLYttz6zuO+t8L2CjbOTJvgRd14mst61exds3bQNt27c5rIbVy478n1tHdqITRCUFGG7WUhcUsHypGN2seP0DPojJ8iL71lW+jqj+5bR+ZNO2LP3NoIgcpdCa3xiP9BCF2mXn79EHklJxbjTg2WPW7J8ERYvW8jdZl1cfnFPJhYTPHvGHG4dT/pAEFzHJdmPsJuru8gLRVNLCwZ/Y6qZMer0+ZPcyp5yNkDoNp4UaRnpHGmfEGE7hG1mItaMn0nED5PqKYhrh7h2Cmc+2OcTZmfJLOI+I0Pm7/bsCHfmlOZTlSpVcOfWXb7s9NlJNNPE4vmFVLatnG4fZOUczIgjJCpK4HbMYPH+QsRlPNm7O1FPYeDgAcgO2bkPLCyQbRemWxaGEibNRkQQBEEUPcQ9U9jkGzMUycjK4Oa966lexNmkUXoTQjdu3BRpyTjeuAwDQwMEBQVz8eOUpDFUyZDO3Tpz4xMLfVqyaKloLNHlvy459jlS0qRZE+45zLxlev7XGydOH0NxMZOPaZFsjIbUHzwr7c1Ov7Hzswkwlj2NaVYl1aZk49v0kp9kty9z8jOndV4hbDzH3itYJAMzJgkNQeyziqNXn57YsXUnD+9iQuBC0fL0JodTtpsZclgoo3DiPEvjdDH9kRZZud+51ef/0tfi2pYe7HxMBoWdn8lGCMfqmX1HJAgi+xRazad6DRLjy9mPPks/zzIbJH1BTw8mWslC427duMUfpCyVqPDByR4kfn6pjRrs/IcPHuFClSzsSCi2xwwNzBDUvGVzUV2WBeLJ46f8QcJcZ9etWc+zLgT/Tc+aG+0T0ryFIEabMWfmPHz48JHHjm9cv0m0vVmSOlnB3q4+zyjRtWP68ex5QU5pPnXo3EHkBbR18zauAcF0rvbvOyBKudymbet0+yAr56hT1457DzHu3bnHBRS/OH3Bzm07Redr2KhBsjaye8gMjwwWGpcydDM3YSGBLCTP76+xye/v9z47nlcEQRBE4aZ5q+YiPcFhg0fwzMTspZI9E5ctWc51A9NDRVnwMitMisGej5MnTBZbV1NTUzQ2+v79Bx+fsbC8yIjEyRxxMJkBFvbO2L9X8JxmYWTN/mp05sTnSEnNWjW4XihrL5sg7N615z+HECYlK+3NTr8xj2shw4eM5OFX375956Lb0yZPz7G25dZnzogGDeuLlmdPn8O1uS6evyTKupYSY2NjkWSGMOMxk8zIzPhMqKXEYJmm2aTl7Zu3uV6ScAK4afMmyCmy+3+SW32e1b7OKkk1yFiWcPYb4njZEadOCKILCILIPQqt51P/gf35jxSbaWAC2i2btuLbM0o7LyQmJhanTpxKlpZTCMtSwR4q4pg+ZUaydebOOXXGVL48YNAAHhP/5PETrq3UrVNyAw1rm7S0VK62j7dj8ED+EGBZHVhbkqZYZfTt3we17WqhoJNTmk/MxZ653TODH/My69oxcdaKzd4sXb4kzSwi2TkH85RbtXYl+vbsh4iICAzsNyjZuTp0bI+GjRumSpUrZEA2vZ6yC2s/E2hlhtcNazfy7zYbGHXrnvHsHkEQBFG0GDdhLJ49ecb1MNkECytJySgkiem6sHTqzGtBOI5KyxubSQRUsa3MJ2eYV0Pj+gLj0frN61LpWiaFPYeZBzlLXiP0+G3n0JZ7nefU5xBHqzYt+cQleyFmnhk9uvXiAsopZR2yQ1bam51+GzthDF48f8GzSjNjCcs4Lc6Y8K9ty63PnBFMe8jxylWeffjypSu8ZPRe0bd/X1y9ck20nhmvJ97uieP4+Nzp8xdcc7zGS1ImTBqf6QRKmSG7/ye51efZ6euswM7P7gvzKmOSFULdqpw6P0EQRdD4xDyBTp45jpXLV/FscSw7Q/kK5VGhYnmsXrGW11FTVRWlFRW6rwrDmVhIG/OecrzkyEWXmXeRvr4+j/dPK6Spd7/e/LrMi4gZGFi2sPGTxsGmXFm+n3k/HTy6HyePn+Kx379+ukBWTg7GJsaoXr0qOnTqILq+uDYlJbPtE3ce1o5Dxw7iyKEj/MeXZZ1gWlMlLUpxI0LSmb202sEGYCm3swFTTHSMyHsnI8SdQzgDI9zOtA+EA0vhtpwYhGUVJvLIXMj37dkHZydn7qPM7iszKFaqnBgmJ9RNYhnnmEdQds/BUvVecDyPbZu34c3rt1xXqXhxMzh0cOBiqClj19mAj/WPgaE+mjbL2mxYTtyHuQvm8O8x8+Zj5zh09AAfyBAEQRBFCyVlJdFzQhiOnRQ2Tjp9/hQOHzyMm9dvwtXVDYqKilxQmHmKO3R0SPdcU6ZP5s8npivInn+lSpXk455JE6YgLjYu1bN39bpVfCzIPOBDQ0IF5/2r85JeW7t068yzEIvWk4TcZfVzZKWvWLgWC2dnEzrhYeGYPH4KNm/fLLZuWu1nWjYpt2e1vVntN/bsP3HmOI4dPoZr127A9ddvqKqp8cnMYSOGptsP//qdyInPnNH3lulvslDI1SvXcAMbS2LEkvCw8LJtm7en0spksGtYl7HiRiTWPocO7dLth6T9cebCae51d/PGLe6FxDzMra2teOIkuyRj7Kz0R3pk5/8kJ75n4shKX2d038TtZ575p86dwMrlq/H+3XvR+ZkcyvYtO/7J4EkQRPpIJWRHTIcQwULmWGy+MB3o1OlTimzvnD19FmNHjecGFuZ1lFHWPYIgCIIgCIIoCLRv05FPANpWteUTd8zDa/7cBXzCmcGyEzONWaZxxbYxz5oRQ0dxbyI2Ablo6cL8/giFrq8JgihYFFrPJyLvef/uA4oVM8K6jWvI8EQQBEEQBEEUGpgHEguJFEf/gf1ExhBfXz+u/SlETU0VQ4cPybN2FqW+JgiiYEHGp38ko/C4osSsuTN5IQiCIAiCIIjCBMtUzfTGmIg2y8Kmrq4O6zLWaN+xHera102WIZi9G7CsxyVKlsDY8WNgamaar20vrH1NEETBgsLuCIIgCIIgCIIgCIIgiMLh+cTSyx87cpxbsLfv2saFr1PCUomeP3sB4RHhqFmrJnr27sGzMBAEQRAEQRAEQRAEQRAFjzzLKTlk4FCsXLYSCgryPO1mXFxsqjpHDh3FkIHDUNqqNBo1bojdO/dg9PAxedVEgiAIgiAIgiAIgiAIoqCG3Xl7+0BfX4+nxh0yYCg+Or9PlsYyJiYG1SvXxIBB/TFyzAi+7fWrN2jfpgNOnTvJU2ASBEEQBEEQBEEQBEEQBYs883xihqf0ePfmHQICAtC0eRPRtspVKnHBvrt37uZBCwmCIAiCIAiCIAiCIIhCm+3Ozc2N/zUqZpRsu6GRIdxc3dM8LiI8AhEREaL1uLg4xETHwMDIADIyMrnYYoIgCIIgCEI4/goKDIKGpgaNvwiCIAiCkFzjU3R0DP+rqKiYbLuSkhJiYqLTPM7x4jWcPXEh1fbxk8dBQ0M9F1oKxMfFQ1omz5zGCjTUV9RX9L0quP+Dwb8vwfPVPL5sVHUR1EwSPVOzw6X1D+HyzgPSMlL4b15TaBqqQZKg36vC3V/mlpTqPDdhhqdxQydjzdbl0NbRztFz//7mBjMLkxw9J0H9LsnQd576vihC3/vC3/cSY3xS/2soCgwMhJ5eYogeC8UrZVEyzeOat26Keo3qitYDAwIxb9pimJY0yvHBjxAXZ1caxFJf0fcqH6H/wdzvq4SEeDy6d4gvK2uWQLn6fSAlnX1v0i/PXLjhiVGnUxVUsi8LSYO+V9RfhGQSH58n8qQE9bvEQN956vuiCH3vC3/fS8yUZVkbwYvIxw+fRNvCw8Ph8tMFZcqWSfM4JWUlbmQSFk0tzTxpL0EQRGGEZRl98vgpvJyvIMz/G99mXnPkPxme4mLjcH6DQLtPRVMJjfvUyLH2EgRBEARBEAQh+UiM55OpqQmq16yOndt2ok5dO8jKymL3jj1cN6B5y2b53TyCIIhCj7u7OxYvWILY2BisH6sFFgStoFYMxWw6/dN5H597B+9f/ny5+cDaUFJVyKEWEwRBEARBEARREMgz49OBvQdw/fpN+Pn68fUhA4ZCWkYG4yeOQ6XKFfm2VWtWoE/Pfqhbsx4XrHR3c8OaDauho6OTV80kCIIosjg7OXNvUlOtaCgmCELkzKux32r5bJ8zLCgC13Y/5stGFnqo3qpcjrWXIAiCIAiCIIiCQZ4Zn2rZ1YJpcbNU203NEoWtTM1Mcf32VXz88BEREZEoV94GKioqedVEgiCIIk2DRg3w6NkDPNrfFghzgpySNowr9Pinc17f8wQRIVF8ud3o+gVKoJogCIIgCIIgiAJmfLIobcFLRrAwuwoVK+RJmwiCIIjkxAZ9hlSYE18ubjsQsvLK2e4iz5++eHzuLV8uX88CpSpRtiqCIAiCIAiCKIrQFDRBEAQh4ueTDfyvjLwqTKv0y3bPJCQkcJHx+LgEyMrLoPUwe+plgiAIgiAIgiiiSIzgOEEQBJE/HDl0FJ6enujStjp8f9zg20wr94WcYvazh35+9ANfX/zmy/ZdbaFdTCPH2ksQBEEQBEEQRMGCjE8EQRBFmKioKKxdvQ5enl5Q8lZFSR1AWlYRxasOzvY5Y2PicGHTPb6srqOChj2q5WCLCYIgCIIgCIIoaJDxiSAIoggT4B8AC4tSSIj0QAkdX77NuPx/UFDRy/Y5H556A1+3QL7cYrAdFJSzny2PIIoScXFxePjgEUKCQ9CqTctMHRMeHo7nz14gLjYWtlVtebbg3KpDEARBEASRXcj4RIg4duQYnjx6ijUbVme5V86ePotrjtexefumLB0XHByMmra18d7pLRebz+12EgSRHEMjQxw6dhAPjvRHuOsVSEnLwrz6sGx3U2hAOG7se8KXTa0NUKVZWepygsgEO7ftxJ7d+/izkIXBZsb49PbNWwzoMxB6+vpQUlKC8xdnrNu4Bo2aNMrxOgRBEARBEP8CCY4TImJiYhEZGZmnx7LBLpttLW9dEWVLl+NeGEmxr10f5awqoF0rB3z/9iPDa4mrL2TurHk4fuwEgoKCsXjBEtSza4C6tephzsy5CAsLy3LbCaKwEBnyBxHuAq0no7IdoKRhmu1zXdn+EJFh0Xy57aj6kJaWyrF2EkRhRkFBASdOH8PwkZkz/sbHx2PsyHGo16A+rly/hNPnT6Jv/z6YMHYSQkNDc7QOQRAEQRDEv0LGJyJf2bRN4Cn15OUjPH/zFFraWsn2X715Bfcf30XlKpVx/979DM+XVn2WeevqlWuwt6+Lvbv3Qk9PD/sO7sHufTvx+tVrLJy3OBc+HUEUDFyebkZCfAwAKZjXGJHt87g6eeL55Q98uXITa5iXL5aDrSSIwk2vvr1QzDjz/zNvXr/Fz58uGDi4v2hbv4F9ERISgts37+RoHYIgCIIgiH+Fwu4kHBZidufWXWhqaeHu7TvQNzDA/EVzUaFiBb7/zu27GD54BKSkpKCvrweHjg4YNWYkpKWl+bF3b9+Dto42bt+6g6HDBsO0uFma9YXiw9MmzxB7LcaBfQdxcP9BrkdRt15dzJwzA2pqasnanLRNWlpa6NytU7JrpJzpZVy/egM7tu1AUGAwrz9+4ji+nbn/BwUGce+orv91SXU8MyoxzyUPD09s2Lw+zfrv372Hrp4ODzEaM250snMMGNQfG9Ylhguyfrt54zY0NNTx8P5DaGhqYsXqZbh/7wEO7jsIOTk5zJgzA02aNs72fSWI/IZ9t9ev24ihg7oi7sNBvs3AqjVUdSyzdb74+AScW3cHCQmAvJIcWg2tm8MtJggiKV+cvvDnrKVV4v+sjo4On1xh+9q0a51jdcQRER6BiIgI0XpggEDnLTcIcnuJYweXQdcoElr6cZCVU4CUjDykZeQgLaMAabYsKw8pacFfvs63yyUus/18Oel+wTmkkpxD+u85pKTleL8QBEEQBJEzFHnj08sXr3hHmJgYw8DQQNQx7u7u8PTwgqysDCpWqphMDPTjxw/wC/aBWXFTPjgT4vrbFd7ePpCXl0P5CuVF26Ojo/H+ncAbwLxEcT6oyywsxOzKZUdMmzkVY8efxtkz59Cv1wDcf3IXysrKqGtfh3sMMVx+/sK40eNhXsIc7Rza8mMvX7qCBYvmYcKk8VBVU+UGoLTqM27dvJ3mtS5fvIx1a9Zj09aNfHZ21vRZ3FC1ccv6ZG1O2qZHd59ixcrlya4hjls3bmHXvp3w8fZFr+690aBhA1SuUom/IF+8cBlzF8zhhqWkxMbGYuI4FhYQhk1bN3BDVlr1b1y7icZpGIvYrG8pi5LJ+vz61etYtmopJk2dhA1rN6B7155o38EBp8+fwqOHjzF5/BQ8e/2EG6IIoiCyeeMWPH38FKVVnsPeJopvK1lrbLbP9/r6Z/z66MGXG/WqDg091RxrK0EQqWGeSey5nlIvUVNLk+sp5mQdcThevIazJy6k2u76wwPBfjkbyu7xzQv7zmuiuLIa1OWloK7pyYuGpgcvikpByA07ETNmcSMUL3+XZeQhJSUr+Jt0e6pluYzryAjXWZFNso8ZypjxK/U5ICWTZ0ax+Lh4uDi75sm1COp7SYG+99T3RZH4XPy9N7dMlPMo8sanju068Y6YOXs6Bg4ZKOqYQ/sP85cz5rnz+sNL0XbmGTRipCAsZfGyReje8z/Rvl0792Dvrr0wNi6Gh88eiLYHBQWJrrN2w2o4dHDI0g2zKG2BIcMEac/Z39MnT+Pu7bto0aoFHyyqqKjwfTblymLQkIHckCM09FSoWJ678iclvfrpXevUidPcS6hGzep8/4JF87nG0vJVS5OdP2mbSluUTnUNccyeN4sb/4yNjVHbrhY+f/rMjU9DBg7jBr9zZ86hV9+emDZjqug+DB00HKqqKti6YzNkZQVf5bTqX792AyvXrEh13adPnuHkiVM4eeZ4su3VqldFl66d+XLX7l1x5NBRzJg9HfLy8mjf0QGzZ8yGxx8PmBU3y/R9JAhJgWm81KpdC79/fEQdG0GGO/3SzaGmnz1x8MjwaFzaIghz1THWgH2XKjnaXoIgUsOeR8z7KCXM81foVZxTdcTRvHVT1GtUN5nn07xpi2Fa0oh7XOck+zZE4J6/O+QCpFFb2whl4kwQ6J84mJVXiISGljc3RKlp/IG6hhvk5VN/pqySEB/Ni2QhBWlZgacWM1AlenClKNzTS+j9lbwO9wATeYil9ARL9BDz8Q2CUXETkQeZyENMeE7ZJPWli/wrRY7CXgKTvrAReQf1ff5BfV/4+56eFAWA4ikMHMXNzXmYGYN5Wi2YuwAvn7/kQtqxcbGoXLmyqG5K/YiM6qd3LfbX3Ly4aJ+pmakgK8/f/eKuERAQiPiE+GTXEIeObqI3GPNYErryM+8iFlrHSOpl9PLlK8TGxOLm3esiw1Na9ZkXW3BQEDe2pfR4GjZoONZvWgcra6vk7UninaaoqMhDC9kAXYiComKycAOCKEgwD8iRY0agoY0P3F5t+2evp5v7niLEP1wkMi4rT48Wgsht2POaeQB7eXqJPLeZp7WPtw/MzExztI44lJSVeMkL4vQNuLdPTEI87vq5w106EvaaxaAQI/AAio5ShI+nGS9CtI3UYGylC5PS2jAurQEDcxXIysYhPi4a8XExiI+LQgJbjo1GfPzfv3wf2x4jWhbsj0F8bBTfliDcnqJOQpI6qUsUElidhLgc6I0ExMdG8pIXuD/OZEUp6WQhjtLSAgOVVCojl6COwHDGjGApDFoiA1iSsEmRsU3cuZKeI0UdWQVISZG8LUEQhKRQ5N8QTp07KQq7S0qP3t15imEWdpcUNgu4aeMmGJoa8LC7pAwY2A9t2rbmYXdJ0dDQEF2Hhd1lFaHxR7T+548o3G/JgiXcOHLs1FHuIn/x/CWcOnFKVFcKyV2zM6qf3rX09PXg7v5HtI8NVNmAVd9AP81rMNf7d5/eJLtGVmDhfuKoXbsWylUoh57/9cbRk4ehq6ubZn0WcpcyXfSHDx/Rv/cALF6+CA0a1s9W2wiiIBMd4Q+P9wf4sm7JxlA3TAwvzgo+rgG4f0IQvmxdwxxlapXI0XYSBJEI8+ItVqwYn0ypXrM69zK+dPEy+g/sx/ffvH6TewbXa1CPr+dUnfymf9c6aNmiKoZN2o2v3z3xzccPHmGhmDS4JeytS8H9ixdcP3vizzcfxMXG82P8PUJ4eX/nJ1+XlpGCQQldmJUxgGkZQ5iWMYVBcR3IyOadcSIhXmj8ik5iyPpbmOEqhQEr1f6/hrOEuDSMXLFRf41gQgNZ8v0Jwu0p6iAhPic+XKJRTBDJLRFIsTBFbgBLy8iV6CmWsk4qY5dsCsOZOK2wtPTGkumRsdBNMooRBFH0KPLGJ9uq4sNDWPgXKylhnj42NuXEuqUxTyBWUsI8ZtK6Tmb49PETzp4+i9ZtW+PShUtw+enCdZWEIX1lbcrCxNSEG4YOHTgMRcW03eQzqp/etVq1boH1azeiUeOGXLh78cIlfGCqqqqa5jWeurzIsE3ZZcSo4YiJiUGPrj1x5MRhaGuLd/O/ce0GBg0dJFpnAqp9e/TFvIVz0bxFsxxvF0FIMpGRUfz/8feLHYiLEXgrlawtEPjPDuc33OUve9Iy0mgzqh4J9BLEP2hQMk/dt2/eISE+AefPCfSU6tatI8oEO2vabC4AzoxPzGA0aepELFm0lD93mdfwlk1beXi8MCQ8p+pIAjWrlsbjK/OxeM1ZrN12BWHhUZi79gzsalhh84p+aD+uIWKjY/Hnmy83RP128uR/fX4H8OPj4xLg8c2Hl6cXBDqccoqyMLHUh6k1M0YZwqyMIbSM1HPtd0xKWgYy0kqQkcsbj7GsGcX+GquSeIK5/fgNIxOtZN5iQg+xZIYxkSdY4jmS70+sww1nIi+zFMaxFIY05uX1z58tIQ4JMRGIj5Esb3Wm8ZXUgMUNZEkMVNHRgM8r1RRhkcnDHZN7eiV6nEkl8QRL6SHGdMOSG9qSn4tE9gmCyE2KvPGpIGBXpzb3UJo6aTq0tbWwfvN67rXEGD1uNMaMHIvtW3dw7y27unZcLyktMqqf3rU6demE379c0aFtJ0RGRqJGrepYvnJputcwMDBA/Yb10m3TvzB2/Bgeftejay8cOX5I1FYhoaGh+PjhE2rWqiHatmPbTvj7B2DKxKm8MNTV1fHk5aNcaSNBSAq/XH6hTct26NWzPaooCTLc6ZjbQ7NY9ozjnx//gNMTgVdB3c6VoW+WszovBFGUePf2nSgJSrMWzXDN8TpfrlChvMj41KRZ42Qh5H3790HJUiXheNmR6x0uXroIrdq0THbenKojCSgqymH+tM5o19IWQyfsxmdndzx8+gU1m87GnMkdMKxfE5iVNeTF7u8xESGRcHP2FhikPnvC9ZOnSBA9JjIWP9/94UWIiobSX88oA26MYoYpFU3JMhbljlFMGTJyyb3HFXzloG6YP7pDTEIhIT42bU8vURhkEqNXKk+vRG+xpHVERq5YMSGUqYxgqUMxc+TzxccijpW/k0DiiPRHniPQ70puoEqmLZbCSJboIUaZJwmCyBipBKFATiHB388f44ZOxpqty3Nc8DI/xNAO7j/EM7ht2bGZiwQzrRZxsMEi88pif2OiY6CopMhD4mJj48R6HWVUP71rMVLuF3ctdm7X739gWqqY6BriCAsLEwmUM5irPzt3WpnkxF2LCaMyD7Ok+k8MZki7cukKNm3bmOz87BxJYTM9wpC9lOdn/yJM3ylpSB9bZyGY6fVRViGRPeqr3CDp92ra5OlcPL9NzTi0qSEQ0a3W/Sy0TBKNs5mFeRis6nsAvm6BUNVWxpRDfaGokvMejnkJ/Q9SfxGSOf4S978ZFRWDZRsuYNWmS4iLE4SN1bAthc0rBsDKwijd8wX5hAoMUcLi5IWo8LSFxbWLaXBDlIm1wCBlbKkPecXCn+2WfhPTMorFZMITLMn2NI1cyc+R9JiQoEAoKclk0uNMsL0wkyrcMS3vr1ThjsyQJt4TLNFDLHkoprdH4F+h/b96YinOIdQj4xkq8yjzZFGBfnPyDxIcJ1KRnqFDmCKZ/ZVREiwzQ0xKY0xm62dkVEm5X9y1xF1DHEkNT4z0suukda20tKGatWiKps2bpDp/etdIef6khikhLCyBIAoanbt2hp+3G5pZ3+XrWqa1s2V4Ytw/+ZobnhithtQp8IYngiAKFgoKcpg9sQPaNbfF0Im78P6TK56+/I7aLWZjxjgHjB7cPJVupxANPVWU17NAeXsLvh4fnwBf14BkBqlk+lF/gnh5c/NLGvpRhnmuH0XkD2xMKDR2AMnHr/n5IsiNYmmJ3QuNXpn2BBPj/SUS5U/D4+xvHYGuWJIwy/iYHOkP7nEWF4WckOzPDG4PczjzpMhbLPOZJ1N5nCUxrlHmSaKgQmF3RKEmLe8pgiiKVLGtjKlDq+Lbvev/pPUU5BvKM9wxWHhLlWbJM0kSBEHkFRXLFce9C7OxavNlLFt/HlFRsZi99CTOXXmJzSv7w8bKJMNzSEtLQb+4Ni9Vmwt+z7KnHyUwRnGjlHXu6kcRRCqjGDOEyErWRFACE6LPRLhjnmae5Eax2AKXeTLTJM08mcQTLC8zT6YyxlHmSeIvZHyScLp178q1lgiCIP6V2Ohw/Hq+jS9rGleDtplQFSVrXN72AFERgtlMhzEN+IsbQRBEfiEnJ4upY9qidbPKGDZhN16/d8HLtz9Rp+Vcvn38sJa8TlaQlZcVqx/l+sULbk5eaehHufNSlPWjCCIpLKufjKwiL5JEepknmdC+oYl2+pkn/2aMzFrmyURvsTzLPImClXkyOjoBfm/VUhvOMpt5MokoP2WelEzI+CThpBc6RxAEkVmhcZa1yu3NfsRE+Iu8nrIzI+/y/g9eXRUkEKjW0oa/WBEEQUgC5axNcfvcTKzb5ojFa89yL6gFK89wL6itKweggs2/Ze9TUlOEZdXivGRGPyosKIInZRAmZkiqHyU0ShmXLhr6UQQhSaSXeVLRXxmaxUwlKvOkwACW2ssrU5knk3mTSX7myQhf5G/myXSzSorPPCl+v3wWM0/KJWlD4c08SVYNgiCIQkxwcDD+694NVlYlMKzRV75N3agydMzrZ/lcTBfl3PrbfFlRRR4tBmfPc4ogCCK3YDpPE0a0QqumlTF80m48e/Ud7z7+hn2b+Xz7lFFtIC+fc8NfcfpRPr/9/2bX84KrkycPz0tPP8qwpC5MrUk/iiCKOmllnsxPuJ5YQlzanl45mHkyLDgYCopMaF/MOfMx82R+IJWtzJMpPMGS6Y2lJcov2B/hFwwg942uZHwiCIIoxJw7f45nlNSMe4OEaEGoXKla2fN6enH5I9y+ePPlxn1rQk0798RWCYIg/gXr0sVw/dR0bN59HfOWn0Iky4637jwuOAq8oKpULJErHczCkA3MdXip2sImU/pRf7768JKmflQZQ2gZkn4UQRD5pCcmJQtpbrTPXaNYVoT2M595UrA/u5knU4VN5lHmyYS4aMSxEiMI7c5tpGVVUKZWq1y/DhmfCIIgCjEdO3aEoZEWDAJWMFUSqOmXg26pxlk+D9M6ubz9AV/WN9OGXYdKudBagiCInENGRhqjBjVDi8YVMXzSHjx65oxPX9xRv90CjB3SAtPHOUAxD0Le0tOPcmXeUcwo9ckDIf7haetHaSrxcD0Ta9KPIgiCyKvMk1klMfNkSk+wPMo8KfI2y1rmSRYGmBeQ8YkgCKIQo6ykjOY1lfH5esQ/aT1d3/sEYYGCc7QdXR+ycuJTmBOEkPj4ePgHhsHXLwT+AaEIC48SlLBIhEVE87/MGyU2Lh5xcSwjUjzi4uOxcHqXQqt1QOQPFiUM4Xh8Crbtu4U5S08gPCIaq7dcxsXrr7FlRX/UsBWEzOUlKfWj2AsL049imlFi9aMCI/D58U9ehJB+FEEQhCRnnlRFQck8+eeXR560g4xPRYzIiEi0beWAi47nIS/PLMUEQRRm2EzHz6cb+LKqrjX0SzfP8jm8XPzw8PQbvmxTpxSsqieK7RJFE2Ys8vAKhFtAOH799sEvN1/8dvODq7sffPyC4esfAj//UF4vq8yf2hkyMmR8InIWaWlpDOvXGM0bVsDIKXtx99FnOH/zQOMOizFyYFPMmtgeykoK+frCoqmvxsu/60excD1DmJQxgEFxHcjISufb5yIIgiAkP/Okf5BGnrSDjE+FkGtXr+P+3ftYsHh+qn1x8XFw/uLMBzSSxMcPn7B29Tp4enigeo3qmDhlApSUxKcj/v7tB4YNHi5aP3byCLS0tfKwtQQh+bx8/hLmJc0R/PsSIoPdk3g9Ze0lhM3Gn113m+uSyMrLoM1I+1xqMSGJREXF4JuLFz5/cYfT1z+i8u2nF2Jj4/5ZG0dJUR6ystKQkZaGtIw038YMVixciiBygxLF9XHxyCTsPnQHMxcfR0hoJDbsuIrL119j84oBsKthKTEdL04/KiYqFh7ffXi4Xvr6Ue/5NtKPIgiCICQFMj4VQmrUrAGbcmVRUPD390ePrj3Ru28vDBjUHyuXrcSMKTOxev0qsfWNTYyxYfM6nsWrc/uuiImNzfM2E4QkExUVhRFDRyEkOADLBiZAXgpQ0baAgWXWhQQ/3P+Oby9d+bJ9V1voFNPMhRYTkkBMTCzXw3n59idevXPBq3c/+XpmjEwKCrIwM9GFaTEdGOhpQE9XDXo66tDTVYeuthp0tFWhqqIIFWUFKCsrQFVZkR9D4XVEfsC+dwN6NkDTBswLag9u3vuI7y7eaN5lKYb0aYS5Uzry76skIsf+18oa8fKv+lGmwmJtABUN8RN+BEEQBJFTkPGpAHDuzDkcPXwcKqoq6Nm7BxYvWCIKm7t4/hJevngJA0MD3L51B93+68rrJfV8On/uAo4cPMq39+j5X5au/fTJM8yaPhtMfkNfXx8OHRzQsXOHHP5852FqZoLxk8bx9cXLFqFFk1aYNXemWI8mRUUFWFlbcaNVZmB99OrlK95HN6/fhLq6OiZNncjPIdz/4vkLfq2H9x9CQ1MTs+bMwJs3b3Fw/yHIy8lhwuQJqFyFBJaJggH7Hnt6eqKOTSzkpWISvZ6ks6bTxGbYL2y8K0on3rBHtVxpL5E/BAaF4/FzZzx4+gWPn3/F24+/EBWVtjFfUUEOlhZGPIsYK6ryMqhazQrFTXS5sYmFNRFEQcLUWAdnD0zAgeP3MW3BUQQFR2Dr3htwvPkWG5f3RX27gjGRl6Z+VBLtqOzoRxEEQRBETlJkjU+xUaEI9XXK1rER/l4IdPf65zYw/RVZhfSFyO7cvos5M+dxQ5KOjjYWL1yaLGwuMDAQB/Yd5B5DM2dPh4mJCW5cvwl3N8EM1/1797nxaP6iedDV0cGCeYuy1EbmQcW8jBguLr8wb9Y8aOtoo0HD+sgpPrz/CNuqtqJ1SytLbij79PET7OoK5/WyD+uj/XsPYNiIoZg2cxo35o0eMQZXbzom68MRo4dj6oyp2LF1B7p37Yny5cthytRJePzoCUYMGYH7T+5BRoZElgnJp2Hjhrhw+RR+XunKM9yp6JSGoXW7LJ/nzpEXCPAM5suthtWFgjLpxBVkgkMiuM7N/cdO3OD0/pMrf0kVh5GBJmwrlkDlCuYoZ20Ka8tiMDfVSxYOl5WUyAQhyV5Qvbvao3G98hg9dR8cb72Fi6sPWv+3Av171OcC+OpqBcsrKJl+VL3S2daPYgapUpVMRUYpA3NtHh5LEARBENmhyBqfmOHp2aE22T5eEITyb1TvcQGaxlXTrXPk0BEMGjIAbdq15usz58xAt07JvZdKliqJaTOnij3+0IHDGDhoANo5tOXrs+fO5IaVzKKqqiryEGJ/fX18ceHcRbHGpw8fPmL86AnJtkVHxUBeQZC6cfGyhahaLfXnDQoKgrFJsWTbNDU1+facoqxNGUyYPP7v57BE2dLlEB4eDmVlZZGRbfxEgefV0BFD0L5NRzjeuMw/f5WqVbB54xZ4eHjCxMQ4x9pEELmJVsIHeEiH8OWStcdn2euJvYTcOviML5eoYIxKjQS/A0TBgRmWPnx2xbXb73H97ns8efFNbAgd012qXqUUalS1gG2FEqhSwRxGhqSjRxQtihlq4cSeMTh25jEmzTmMgKAwrgt17fY7bFzWlxunCjLp6Uf9FnpIffaCj2uifpSvayAvQv0oeSU57hHFDFFmZQz4Xy1DdQqfJQiCIDJFkTU+FRTcXN3RsXNH0bqllWAGKynmJczTPN71txs6dEoMk7Mua52l64eGhmLThs1cvJgZg0JDQlHcXHymq1KlSoq8pIS4//KEcXFDvmxiaiL2OAUFBZ6FLynhYWFQVMw5vQVj40SjETM4MQ+m0NAwkfEp6X4VVVVoaGhww5NwBlFZRRlhoaE51h6CyE1Y+tQfTwT/i/JqJWBolXVD+/mNdxEbHcdnvx3GNaCXiwIkEH77wSdcuPoSV2+9h6d3YKo6TMumVrXSqFPDCnVqWqFyeXPIy9NwgCDY875bh9poUMcGY2fuxwXHV3D74w+HXqvRu2tdLJ7ZDZoagnFDYSCpfhTE6Ed9ef4Tvr8DRfpR0RExpB9FEARBZJsiO9pkIW/M8yg7eLh6wcjUIEfakBEaGuoISKJtFOCf+kWCZQlKC01NjWTH+/tlTidJyNJFy+DxxwNjJ4yFlpYmDwNkukni+P79R7Y8n0qUMIeTk8DNmxEYEAh//4B0jWoEQaSG/X/GxsTCUs9NlOFOx3pglr2enJ78xMcH3/lybYeKKFZKj7pbggkLj8L1O+9x7soLrlXDsnelhHkzNa5fHk3rl0fVSiUhK0shxASRFgb6Gji8bSROX3yO8bMOwM8/FPuP3ef/Z+uX9EGLxoVXAzKpflSpGkYoXtokmX4UC9lz+5K+fpSOscZfIfNE/Sh5RcFYkCAIgii6FFnjE9NayijkLS0Cw1yhaZw3Ohf29e156Fybdm2gpKSEndt3Zun4eg3q8eNbt23NvXy2b92RbH+AfwC6dvoPew/sRjHj5KFvjN+/XVGvvj1q29XiYWpMyDgtsuv51LxlM+zcvgtOn51gXcaaLzMPLxZOyPj86TPGjByHK9cvkeYSQaRBXFwc5s+ej9+/fmDlECkoywkM3KrFGmWpz2KjY3Fu3R2+rKqljKb9a1GfS6iH09Xb73DszBMeFhQRKXgRFKKhrsQzeTVrUAEN7ctBX1c939pKEAXVC6pjm+qwr22NibMP4dSFZ/DwCkTn/uvQrX0tLJ/XHdqa6et2Fgayox/l5x7Ey5sbifpRhiV1uTGK9KMIgiCKLkXW+FRQ6NOvN549eYbqlWtCSVkJ9RvU49szO2vdu08vfnyNKrX48Y2bJH8R9fHxgYeHB9Q1xL+Y9BvQF6OHj8a+Pfu58al69WqIjEw9q85gxjGhPpQQBWnlDAVpy5UvhzHjR8OhdQeoqatBTlYW2/dsF+2PiIjkIutCYVz2ks2y4bG/DKaBJSsrK8oASBBFkV8uvxASGgo7mzgoy/3NcGc3AZFSWROHvXvsFXzdBR6WLYfW4bPghGTAfgNZVrqjZx7jzMXnXJMmKbo6amjdtAocWtrCvlYZCqUjiBxAT0cd+zYN44aosTP2w9snmP8P3nrwEWsX9Ubb5okJU4oK2dGP+vPVh5ek+lEmlgL9KIGGlCE0DdQoxJsgCKIQQ8YnCYcZdHbv38WNRMxz6fev37h+9QY3tjDatG2Nho0aJDumafOmqF1H4K2gqKSInXt3iI5n5+vbvw8UFARGmqePn6Jvvz4ifaOUMGHxZ6+fcqFx5hkVERHBvaVyGpaJrkev7jwskHlICT8fo2zZMrh684poG9NrSulhxZCTE+/SLa6PmBeVtraW2P1mZqY4cfZ4svrHTh6FiSmJjROSC/MUvHvvGu5uqwHEB0FVrywMLFvi11dB+F1mCPAKxs39T/lycRsj2DYrGGnGCzuu7n7Yd/Qejp5+zLNwJUVPVx0dWleDQ8uqqF3NMlk2OoIgcg5mZLKrYYUpcw9z4xMzQnUfvJH//61a0JMbqYoy4vSjwkMi4ebE9KM84erkhd+fPJLpR/14686LEBVNJZFnlCBszwAqGgUr0yBBEASRNmR8knCYEPdVx6to174dYmJisHH9ZtStV0e0X0NTg5eUOlGsJEVPL1GzJal3UrOWzaGmlr7bODNYmZoJvJeYkSotQ9W/oq6uzktKmAEtpUdVyvX0ENdHllaWae5n3lMWFqWS1S9lIQgBJAhJxvfrKcjEC7JElrIbD6ksej1d2HiXz15LSUuh/biGfHabyB9YVjqW8n3P4bs8W53Q81OYna5N8yo89KdhXRvSbyKIPEJHSxU71w3mXlCjp+3jYXhMF+ruo89YNb8n387C1AgBykw/qlpxXhjsdyy7+lFmXD/KEMaW+tzQRRAEQRQ86NdbwpFXkMedW3exYN4iREVGwqJ0aWzZvinHzq+vT0LCBFEYiIuNxM8nG/iymr4N9Eu3yNLxzs9/4f3db3y5ZtsKfIBP5D2/3Xyx9+g97D96P1Wmuvp2ZdG9Y21ueFJTJW8AgsgvmOD482qWmL7wKBciZ4LkfUduxamLz7B2YW8uWE5kUj8qLp6H54nC9Zy8MtSPMiqpBxNrA9KPIgiCKGCQ8UnCkZaWxpoNqxEUGITYuFjo6Ojkd5MIgpAgHC874tnT5+jYQBVRoZ58Wym7CVnyeoqNicPZdbf5srKGIpoPrJ1r7SVSw7wBHj37ik27r+Hi1VdczFeIvp46enepi95d7VHSnAyCBCEpaGooY/OK/jzsbuSUvXD7448Ljq/w8MkXLJ/bHV3b1yIvqEwgLSMt0o+qlkn9KPev3ryQfhRBEETBgoxPBYSUYWMEQRDx8fFYtWINXL47w0YmFkwbXE2/HPQsmmepc+6feAWf34KBfcshdaCsTiLjeZWxjmXQYkantx9+J9vXyN4G/XvUR8vGlSAnR49qgpBUGtcrj2fXF2Lm4uPYfegO/APDMHDsDv6/vW5JHxQzFOhLEjmnHyU0SqWnH8WytZqWMfirHUX6UQRBEJIAjWgJgiAKKCHBIVyPzFT5M9QUY/m2UnYTszTbHugdghv7BCLjbJBerWW5XGsvIcA/MBTb993C9v03uWixEDVVRe7hNKRPI/JyIogChLqaEtYv6cO9oEZM3oNfrr64cvMtHjWegSWzuqFXl7rkBZUX+lFOnoiKEGR7DQ0Ix+dHP3kRQvpRBEEQ+QsZnwiCIAqwR+Smzatxe/M9xEf5Q92gAvQsmmbpHJe23Oezxsxe1X5sAxIZz0U8PAOwYedV7D50F6FhkaLtJYvrY2i/xujZuQ5/iSUIomDCdNmeXluAuctOYeveGwgKjsDwSXu4KPmGpX1hakzSCXmqH/XZE3+++fLt6elHJfWQMjDX5qGABEEQRM5DxieCIIgCjNub/dzwlB2vp2+vXPHmpmAQXr11OT74JnKe7y5eWLPlCg6feojoaIGHGqNOTSuMHtQczRpWgAy97BBEoUBVRREr5/dA+1bVMHzSLnx38caNux9QvclMLJzehYfTUka8vNWP+vPNB65O6etHPTn/nm+TV5KDiaW+wBjFsuyVMYSmgRrdM4IgiByAjE8EQRAFDBZuwIiLicDPZ4Lsl+qGlaBbqnGmzxEXG4eza2/xZabx1GJQnVxqbdHl6w9PLFl7DifPP00mIt66aWWMH94K1auUytf2EQSRe9jVsMTjq/OxcNUZbNhxDSGhkRgzfT/3gtq4rC9KFKcEAnmlH1XcxoiXtPSjWAnNpH6U2V8PKdJGJAiCyDpkfCpiREZGYfCAIdi1dwfk5OTyuzkEQWSDq1euYt2aDRjTsySkw3yy5fX04NQbeLkIPKaaD6oNFU0K98opfv7yxtJ153Hk9COR0Yl5NnVpVxPjhrVEWSvjHLsWQRCSi7KSAhbP7AaHltUwdOIuOH/zwN1Hn1Gj6SzMm9oZQ/o05FmNCQnQj/IO5UYophuVGf0oXWNNmJQxgBkTMy9jCGNLfW7oIgiCINKGfiULIffv3cfzZy8wfuK4VPvi4mJx7849xMXFQ5JsT25u7ti+ZTs8PDxRo0Y19B3QF7KyaX89r129jqtXriEhPh4NGjVA67atkr14v3v7DkcOHUNAgD+sy1ij34B+0NBQz9TxP3/8xJxZ85Jdr0ev7mjWPGtaOgSRWxnumOHJ5dsnRP5+A2UFQNO4GnRLNsz0OYJ9Q3F9zxO+zAbMNVqXp5uVA/x288Xy9Rdw8ORDxMbG8W1ycjJcRHz8sJYobqpL/UwQRRDm5fjo8jwsWXsWa7ZeQXhENCbNOYQzl55j84p+sChBIc/5rh9loMZLhfqZ04/ydQ/kJVE/ShpGJXWTeUjpFyf9KIIgiKSQ8akQUrp0aWhpFZzUvqGhoejs0AV169VBq9YtsHnjVri7/8Gc+bPF1l+/ZgM+fPiIJk0bIyYmBvPmzIebmxuGjRjK9391/orOHbry9Xr16+LAvoN49OARjp8+lqnjQ0JC8OnDR6xcu1J0TYvSFnnSFwSRGePTfz264vOtJVBWEIhWW9SZkiWvp0tb7yMqPJovOzCRcdIb+mch8eUbL2LvkbuIiYkTeTr17GyHyaPaktGJIAgoKspxb6d2LapyL6hPX9zx6JkzajadjTmTO2J4/yak/VZQ9KP+huqx0L1E/ah48fpRVgYwtU40SJF+FEEQRRkyPhUAmOHk5PFTUFFVQeeunbBy+WpR2Nztm7fx8cMnmJqZ4PatO2jRqgWUlZW451O58oKU6Y8fPcGJoyf48R06dcjStd+8fovVK9fwF1t9fT20c2iLOvY5qw1z/uwFqKqpYvmqZXy9RMkS6Ny+K8ZPGgc1NbVU9fv0682zfAlhL3l7du0VGY/u33uAChXKY+z4MXzdpnw51K1pj+DgYKirq2d4PENBURH1G9TLVPtF96C4KW5ev8mvMWLUcBgVMxLt//D+IwwM9fHg/kNoampizPjR+Or8DUcOHeH3cfjIYZCGBLmiERIL8wjs1rU17gcuQFw0oG1WB9rF7TJ9/I+3bnh1zYkvV2tpA/NyxXKxtYWbkNAI7sWwYftVREQKjHnS0lLo6lALU8e2RSlzg/xuIkEQEkaViiVw/+IcbrBetekSIqNiMG3B0b9eUP1hXZp+kwuVftQbN16EkH4UQRBFmSJrfIoMj4bnD99sHevp6gdEy/xzGwxL6kJRWT7dOi+fv8TgAUMxZtxoaOtoY+K4yXD+4iwKm2MeQls2bUWTZo3RsnVLlLUpi8cPH+PDuw/8+Nev3mBQv8EYNXYkdHR0MHHcpCy1kRm1+g/sx5d/ufzC6BFjsW3XFlSrXg05xZvXb1CzVg3ResVKFSEvL88NOkm3C0lqOGL4+flDQ1NTtF6ihDn+uP9BZEQkFJUU8f3bdxgYGkBVVTVTxzOCg4IwfPAIKCkro0HD+jwsLy2E96Bl6xZo0bI5Ll28guFDRuLMhVOi/Zs2bEa79m3RvEUzHNh3CD279YaWlia69+yOp0+eYmC/wdi1Y3eW+44omrg83Yy46FC+bFF3SqaPi4uNx5k1t/myoqoCWg4hkfHswELq9h65h0VrzsLHN5hvYwb6Dq2rYfo4B1hZJL6YEERWcPrshBvXbiI2LhZ17evCtmqVDI9hE0/smc8Mn42bNoaVtVWW62xavwmBgUHJtrHnb6MmjegG5gIKCnKYNaE92jW35V5Q7z7+xrNX32HXcg6mj3XAmCHNISv77+NMIn/1o3i4npPAQyoj/ShBdj3mJSXQjyIIgiiMFFnjEzM8bRouCMPKL0Zs7pqh18HePfvQt38fDBo6kK8zA1S/Xv2T1dHV08XqdavEilbu2bUHvfv2wpBhg/k6M3gM6Dso021kBqukHkCxsbHcC0uc8YkZxRbOX5xsW0RYJJRUFPnypCkTUL5Cam2ZgIBAlClrnWyblrYWAvwFYsjpwYxMO7ftEnlNMZiGU9f/uqJB3UbcePbnjwf3FBPXP+KOZ55XG7Zs4AMIpv80d/Y8fP36FeMmjE2zHSamxlixejlfrl3HDpVsKouMX4zi5mZYtnIpXzYwMECn9l3w8t1zaGtro0Wr5rCxLA8fXx+UsDLL8DMTRZO4uDj4ePtAS00av1/t4tt0SzaGpnHVTJ/j8dm3IqN7swG1+AwskXnYb8KVG28xc8lxLhwspEGdslg0oysq2ND/L5F9Lpy7iAljJ6J9RwcoKSmhR9ee3AN48NBBaYbgssklNlHTsXMHhIWFoWO7zpi/aB46dGqf6TqMw4eOolKliqhYuaJom8rfCRsi92C/GXfPz8LqLZd5koKoqFjMWXYSZy+/wJZV/VHO2pS6v5DoR3n/9ofrXw+ptPSjXt9wEoX8aRurw6KSKelHEQRRqCiyxqeCws8fLmjVJtHrpkLF1MYbSyvLNLOl/Pj+k3tECUk6sMwM0dHROHr4KF48f4mgoGD4+vhyA5Y4DAwNRV5SQrzcfWBgrMeXjU3EZ3iSk5VFVFRUsm1sXTYDRXRfX1/07tEX/Qb0ReOmibOzzNvr4IFDGDR4IA+Fu3ThEubPWYDDxw8lEzFP63gW6ic0uDGvJ+ZJNXLYaB7Gl5auDjNYCWHC5ux+BIeEiIxPyfZraUJDQ4MbnhgyMjI87JBpXxFEWlw4dwGTJ0zFjAGmMJL/q/VUd3KmOyzEPwxXdz/my0aldFGrXdZ+C4o6r9+5YPqiY7j/WPBywGBZ65jRqXG9clnS3CKIlLBn3uwZczB81DBRyDiblJk1fQ4c2reDvkFqT4hrjtdw6+Zt3H14G2bFBYbPyraVMXPqTDRt3oR7+2amjpC69eqiW/eudHPyGDk5WUwZ3Ratm1XBsAm78OqdC16/d0HdVvMweVQbTBzRitchCi7MmGRYQpeXtPSj2F9ft0C+jxmlfH8H8pJKP4pl2ONeUobQ1FejZw9BEAWKIvs0YyFvzPMoO3i6esPQVD9H2pARTKcpLDRMtJ50WYisjMw/HZ8eq5av5oYnlu2NGZ2ePXuO50+fi63r5emJ3Tv3pOv5JDS4JMXUzBRuvxPj4ZkRxt/PH2Zmac/4BfgH8FlhZjRiIYVJYQLjzOAm9BZr2qwJKpWrgmdPn6O2Xa0Mj0+JeQlzPlscEREBZWXxniJSSP/FM+V+elElsupxs2HdJqgqREJP5iPfZmDVGuoGmc9Sd2nLfUSGCoy87cc1hIwspffODL7+IZi77BT2Hb3H7wPDUF8Tsya2R8/OdUggmMgR2HM1ICAAHZPoMrZ1aItZM+bg9q3b3Js3JT9+/OTPVKFRiVG5ciWEhITiwb0HaN6yeabqCGGahG6ublyvkE28FDMm7aG8xMbKBLfOzsT67Y48pJd5QS1afRbnHV9i68oBqFhOENZFFA39KKcXP+H7O4j0owiCKFQUWeMT01rKttCufBzMLfNmUFajRnWcOnGK6wUxr52jh7MWKsg0G5Ief/jQkWT7gwKDMGrEGKxcvVzszOrHDx+5yDlzz2dhPyeOnUzzWtn1fGrUpCH69x4Id3d3GBsb49iR47wu8+hifPv2nXsu7T2wm3sUMQ+snv/1hl0dO0ydnlrvhhnJvjh94eEGrD4bTIeHhUNbW5ABMKPjmWh4FdsqPPSPvWweOXQU1mWs0jQ8EURuw4yVW3dsxu39vSEr4wJISaNUnczrt31/44aXVz/zZdtmZVCigvj/RSK5rtOuQ3ewcOUZBAQJjPYqygoYO7QFRg9uzpcJIqf48eMH94I1MTURbWOhd3p6etyAJI7SlqXh7+/Pn3dCDafHjwTejd+//8h0HYb8X09jGVkZXLt6HQvnLcKa9auSGadSEhEewSdlhAQGCLw2iOzDdJ7GD2+FVk2rYNjEXVwH6v0nV9RruwDjh7fElFFtuF4UUfj1o0rVLIbipU3+TT+qjCGMS+tzQxdBEIQkQL9GEs6AQf35rCfTL2JZ1PT0dUUZ2jJ7/J3bd/nxLJzM0DB59iU/Pz88e/IMCgriX6Q6demI6VNm4vSpM/D44wETk8SBcUpYuFnKDHEuzq4wt0xfs6B6jepci6JFk1YwNy8OF5df2Lpji8g7KDgoGPfu3BMZk1YsXcH1pXR0dXjYHENFWRlbdmzmy4OGDESPbr1gX1swc/vpwyf07NMT1mUEulIZHS+vII92rdtDV1eX9w8zQG3auiHDviaI3MRYTxYlNFzBnG+MynaAqo7AOJspkfHVd/iykqoCWg+3pxuVASz9+YTZB/lLn5DO7WrwELtihgIjNkHkJBERkVBWUU7lFcue28zII47GTRqhZasW6NyhK092ERoahh/ff/CMqkxzMLN1GPsP7+NeyEIWL1iCKZOmwb6+fZoTL44Xr+HsiQuptrv+8ECwX9a8rDOChSGx8URRgY3IdizphUNnnmD9nps8I97y9Rdw+vxTLJjYHuWt82YCoaj1uyTB+v7XV0FUgHoxRdgUM4dNI3PExycgwCMY3j8D4PXTH94uAfBzC0R8XEIa+lFS0DHWgH4JbeiX0IJBCW1oGTF5CAoVT6/v6XufP1DfF86+T2oLIOOThMMys525cBqfP32GsrIKEhLieQY8ub+zlA0bNUDlKpWTHVPXvo5IwJsZrE6dPSE6nglfM9d6eXnB8c+fPUe3Ht1SZYAT4tDBATVq1oCrqyvXLWIDY9ckIXI5xbyFc7mwuqenF8/YxwxZQixKl8Leg3v4rDCjZ+8ePFtPSt0oIYZGhrh2y5EbmJiXEzNosW1CMjqeZRi6dusq7zMlJUWUsigl6m9xiLsHew7shubfPk25v1gxo1TGrPWb1kFTNXVIIkEI+f5wJRIS4iAlLYtStSdkumPe3vgKLxeBeH+LIXYkMp4OPn4hWDhmO46eEXiGCHWdVi3oibo1kydFIIichBl4WFi8cJJFSEhwMA+fFwd7Hm/atpGPCZycvkBFRRkNGi1C9So1RM/0zNRhJDU8CSeetm/dgS9OzqhcpZLY6zdv3RT1GtVN5vk0b9pimJY04slRcpLMTGQVRmaXKY4e3etj+KQ9ePj0C765eKPH6O0YM7g5ZoxvD0XF3PWCKqr9Lgmk2/fscdQgcTV9/agE+PwO5OXjXUF90o/6h74nchXq+8Lf92R8knAiI6Pw+tVr1Kpdk6/PnDaLewoJYZ49KXUZmKElqbGFhdslzTKX1DuparVqaNa8WbptYPoPrAhhHkG5ATNuJRXmFsIMaEnbzDyYhF5MacEMVWXKlhG7LzPHKyoqpDngTom4e2Bfr26a+9lLRu06tZPVZ1pUNMtCiBMhvnXjFuyqmcPj0xm+zbh8NyhrmWeqswK9QvD8/Ce+bGptgBqtM68RVZSIi4vHzoO3MXvJCYSFC3SxNNSVMHNCBwzq1YBSnhO5DguPY4YnlmSklEVJvi0kJATe3j6wsLBI91jbara8MJiRKSoyCrZVbbNcJ2XYqTDpSFooKSvxQuQupcwNcOXYZGzffwtzlp7kv1Frtl7BxeuvsWVFf9SsKsioRhRdxOpHBUcmy67328kzff0obWWYWQuEzHmxNoCyukCzlSAIIqcg45OEwzKcbFq/iesvhIeFIT4hAbv3CdKs5wTCQS5BEJIH03ibM3MuJnaTh6VBAqRlFFCy9rhMH39uwx3ERseBRfJ0mNCIZ9whkvPByRWjp+7j2ipCeneti7lTOkFfN9EDkyByk6rVbGFgaIDDBw9j1tyZfBvTP2STRw0a1RfV27B2I8ralEGjJoIMrW/fvEXFSoLMlTExMVi5fDWqVa+abPIkozouP1146L1wkomFmu/dvZd7RpWvUI5uvATAvOGG9m2M5g0rYsTkPbj76DO+fvdEk45LMGJAE8ye1AHKSqRDRyTCDEdW1YvzIvy/Tlc/yj8cnx794EUI6UcRBJHTkPFJwmEePAeO7OdiobFxcbC0LA15efn8bhZBEHnAuTPnYaYfD0uDIL5uUqkXFNUyl+zg8+Of+HDvG1+u5VCRp2gmEomIjMay9RewdusVkZdHaXN9bF0zCDVs0/c0IYichhmZlq9ahqEDh+Hnj59cbPzGjZtYsHh+siyxhw4cRpt2rUXGp32798PHx4dnZX344BE3Iu3Zn3yCKqM6zLtpyMChMDU15QawN6/fwsvLC2s3rKFEGxKGuZkeLh6ZhD2H72LGomMICY3Exp3XcOXGG2xa0R91aghE5QkiJSwEV9NAjZcK9UuLNF68f/vD9bOXyCjl8d2XbxevHyUNo1K63DPK7K+oub6ZNk1sEQRRMI1PoaGhOLj/EF6+eMXDTSwsSqFPv94obl6008uyB0ZGYWIEQRQ+jp48jKubmwHRTpCWU0KJmqMzdRzTfzi79hZfVlJTQPOBycM8izp3Hn7CmGn78N3Fm68rKMhi6ph2cGhgg9I2qUN/CSIvqFffHrfv3+RJQmJjYzFxyoRUoeijxo7kOoRCVq9fhSePn8L5yxc0adYEdnVqi/QRM1uHZZa9cOU8N0yx7LBMp7BGrRpQVVXNg09NZGdM2L9HfTSpXx6jpu7Fjbsf+G9Z885LMaRvI8yb0gmqKhQuRWQMMyYZltDlpVpLm0zoR8XD3dmblyfn3vFtCkpyMLZimfUM/hqkDKGpr5YqeQJBEITEGZ8G9B0EP18/jB0/Bqpqqjh88AgcWneA443LfDaOIAiiKBHm/QYK0YIZx+JVBkBBRS9Tx906+Az+HsF82a5LBSip0YsIIyAwDNMWHMXBEw9EfVWvdhmsW9IbFiUMSXeNyHeYXmO37l3T3N+jV/dU22rWqsFLemRUh3lUN2iYGN5HSD6mxjo4s388Dp18iCnzDiMoOALb9t6E48232LisHxrUKZvfTSSKgH5UVDr6USZCg5S1IelHEQQhWcYnliXl6eOn2L57G5o2a8K31axZA2VK2+DJk6do59A2v5tIEASRZzB9hq93F/JlWXk1mFcfnqnjfFwDcPvwC75cspIJLGua5Wo7CwosLGXU1H3w9BbM4GprqmDJrG7o3smOZmgJgiiQMO+Snp3roFFdG4yZvh+Xb7zBL1dftOm+Av2618OiGV2hrkai8ETO60cFeof8NUZ5ZUo/SsdYQxCu99coZVxaH/K5nK2RIAjJQ2KMT+oa6jzV75tXb0TGp1evXnORxbJpZC0jCIIobLAMV6tWrEG31lYIdH/Ot5nXGAE5Ja0Mj2UDwjNrbiEuJo6703cY3xAR0YLZyaJKYFA49wpg3gFCujjUxLI5/0FPhwTFCYIo+BgZauHYrtE4fvYJJs05BP/AMK4Lde32O+4FxUL0CCInjZ5aBuq8VKhvmVo/6pMH95RKqh/l5x7Ey5sbX/i6tIwUDEvq8qx6gux6hjAw14GMLCVGIYjCjMQYn5iR6ciJwxgxZATq2V3mIpe+vr7Yd3APT0GcFhHhEYiIiEjmQUUQBFFQ2bNzL/bt2oPiUdEw1gHkVfRgZjsoU8e+u+2Mry9+8+V63Wz5QM7Fuegan9iL18gpe/HHM4Cv6+mqY/2SPmjTrEp+N40gCCLHDQJd29dCfbuyGDfrAM5feQl3jwC0772ae0cxT08tTRXqdSJf9KOYdxQzTDHvbEZ8XAL+fPXh5emFD6KQPxMrfZhYJwqaaxtpkHcyQRQiJMb4xFixdAXCwsIxYfJ4qKqo4NjR45g7ez6Onz6aLNtLUhwvXsPZExdSbXf94YFgv7BcaSez4rs4u6IgwrLarF23FuPHj4esTO7f/oLcV3kN9RX1FePXj9+oYZ0AYx3BbKFmqX5wc/Fj84bpdlB0RAxOr7kl0lsoXduY/+8Vxe8VywC1fKsjzji+Em1r0aA8po9sCS0NlTT7oyj21b9Q0PrL3NI0v5tAELmOgb4GDm0dgdMXn2P8rAPw8w/lOndMmJwZ31s2qUR3gcg//aiQSLh9YfpRiRpSwvc1Zqz6+e4PL0KUNRS5VxQzRPG/1gZQ0yYjKkEUVKQSWJyGBPDy+Ut0dOiMi1cvoFw5gcWcZXuxq1EXXf/rgvETx2Xa82netMVYs3U5tHXEG6z+FTbYluRBLOvL9+8/oG//Pqn2hYWFwcayPJy+f4aiokKutyWzfRUUGIRDBw/D08MT1WtUR+u2rdKs6+bmjg1rNyTb1qZta9Sxr4OCjKR/rySJwtxX8XHRuLOlJmLDPaCkWRx2A+5BWkY+w+POb7yL+8cFxpY+i9qiXN1Shb6v0spkN2T8Tj7jz9DVUcPaRb3h0LJqhscWtb76V6i/iKT4+/lj3NDJuTL+ou9a9vDxC8akOYdx8vxT0bau7Wti+dwe0NHKOJsh9Xv+UZT6PsgnlGfWc3MSZNhj+lGRYdFp1tcyVE8M1ytjCGNLfSgqZzxOyixFqe8lDer7wt/3EuP5FPA3XM7IyFC0TVZWFrq6uumG0ikpK/FCJMIGfSVLlSwwXRIVFYVO7bvAxMQY1WtWx6L5i/Hj+w+MHjdKbH1/Pz9cc7yOKdMni7bpG+jnYYsJIvdwe3uIG54YFnUmZ8rwxNzaH556zZfL1C4BmzoF5/8/p4iKisG8FaewfvtV0bYOrath1YKepO1EEESRhOna7d04FB3bVMeY6fvg7ROMY2ee4Nb9T1i9oCfat6qW300kCGjoqaK8ngXK21vw3oiPT4CvW0AyQXP3rz5cz5IR4BnMy7s7X/m6lBSgb67DQ/VMrAUZ9pielKycDPUuQUgYEmN8Kl+hHBQUFbB/7wGMmzCWb3v29Bm+OH3BkOGDUZRx+uyE82cvQEVVhXv4bNqwGYuWLuTGuSePn+Lb128oZVEKd+/cRZ06dlBSUuLGG/t6dfnxrA/PnTnPj2/eonmWrv3502fs3b2Px1vr6+ujRavmKJPDAvCXLlxGZGQkduzZzj9TxUoVMbDvIAwaOpB/FnEoqyinm446KcI+sihtgds3b0NdXQ29+vaCurp6sv1mxc3w8P5DaGhqoN+AvnBzdcPJE6cgLyePPv17c0MoQeQWzAk1LiYcPx6t5utq+jYwLOOQ4XFskHZ69U2unyArLwOH0Q2KnD7Cpy/u6D96Gz58FoSAsdC6NYt6oVPb9NPPEwRBFAWYzp1dDUtMnXcEh089go9vMHoN24x2Lapi9cKeMNDTyO8mEoQIaWkp6Jtp82LbrCzfFhsTB4/vPlzIXBiu5/3LHyx+hxWvn368PL/8kddn46FiFnoi7yjmKaVrosXPTRBE/iExxicDQwOsXrsKc2bOwakTp6GqqoKfP124EaBtuzY5fr2Q0Aj+wpIdPFy94BUS9c9tKGtlDDVVpQwNT53bd0Hnrp2hoqKMfr0H4Pu375i3cB431DCjyZqVa1GmrDWaNm/CPYDevnmHe3fu8bA75y/O6OTQGR27dOIi7oP6ZU64WIiGhgYqV6nMl11cXNCtc3ccOX4YZW1yzgD1/NkL1Klbh38eRs1aNfiL+McPH1G1mvhQmdDQUMyfs4B/pgYN68O2mm2a5xf2UfmK5WBfzx7Xr97gBqcDR/aL9q9YthJVqlTmoXvs+3fvzn1EREagTZtWePHiJfr3HoDzl8/l2GcmiKT8/vUbA/oOwtheJSAX7su3WdhPg5RUxllfXlz5iF8fBJ5SjXvXgHaxovMSwX4ntuy5gVlLjiMqKpZvq1e7DLavGQhjo9wJuyYIgiiIaGuqYvuaQdwLavS0fTw0+dyVF7j/+DOWz+3OxcqL2sQFUXBgXkwCzSdDwKEi3xYZHg13ph/11yDFQvYCvUL4vtjoOPz+5MmLEEVVBS5oLhAzF5yLeV0RBFEEjU+MVm1acgPK71+uPBTLrLgpVFVz50eBGZ4atV+E/OTmmRmoYStwMU2Lndt3ccPT7Hmz+HqJkiUwfMjIZHXk5eWx58BuyMnJ8XVmfBKyY9tObniaO382Xy9uXhyjho/OdBuLGRdL5mGkpqqKwwcPY+GSBanquvx0wZZNW5NtCwkKg5qGQBhwwKD+sLQSpGRNip+fH6ySbGeZD1nooK+P4CU8JSamJpg2Yyp/8fz54yf69OyHKdMmcW+mtFBTU8WuvTshIyODNu1ao3rlmlx8nfUdQ0tTEzv37uD7y9qUxX+du+PRswf887PzlreuCG9vH+jr62Wq3wgiKzDjqMdvZ8S6v4OcAqBlUhO6JRpmeFxYUAQubb3Pl/VMtXiGu6KCp1cghk7cxUV0GfLyspg7uSNGDmzKf0MIgiCI1DRrWBHPbyzCzMXHsfvQHfgHhmHg2B04ef4Z1i3pTYZ7osDAdJ5KVTblRUiIf1gyYxTTjwoPjuT7IkOj8O2lKy9C1HVVRIYoLmpuZZAvn4UgigoSZXxiMANKKYuip1eSFl+dv2Lo8CGi9arVU8fn25QrKzI8pYR5PiU9vkatrIWhMAPP9Ws3uIh5UFAQXH+7Quavh1JKWFif0EtKiK+XP3QNBB4IampqYo+TkZZGbJzAa0FIXGwcpGXEx2qzzIdJDWLlK5THzOmz0jU+WZWx4oYlhp6eHn85ZZ+HLafar6/HQ++Y4YmhoKAAdQ11BAYEkPGJyBXs69tDM+IKlBQEA6TS9aZnagb6yvYHCA8SHOMwrgFk5SXuJz1XuHLjDYZM2AX/gFC+bl26GPZsGILyZc3yu2kEQRASj7qaEs98xzSfRk3ZCxdXHzjeeotqjWdi8cyu6NPNnrygiAIJy4RXtnZJXoTvMX5/ggShen+NUu7O3jyzHiPYNwwf73/nRYimgSpKVjQRGaVY+B7L3EcQxL9TZP+TWMgb8zzKbtidkalBjrQhI5hRKTomRrQeE5M6+0NahifR8dGJxyRdzgyb1m/G2TPn0L6jA/eaYkYbZtASR1hoGF6/EogeJ/N8chd4PlWxrQwjJKZbFWJUzAgefwRhQ4zIyCj4+/ujWLHUddPSC2PZ8lgmPxUV8elXpcWELyXN85hyv/j6EpEYkiiEtGhSDaou4UiIA/QsmkHTOGMRWJf3f/D0gsDrp1IjK1hWLY7CTnR0LOYsO4kNOxJFxYf1a4z50zpDSTHnMt0QBEEUBRrUKYsn1+Zj3vJT2Lr3JoJDIjByyl7uBbVxWd/8bh5B/DNsIk/XWJOXyo2t+ba42Hh4ufj9NUgxDykveP305dqZjECvULy65sQLQ1pGGsUsdGFibfg3ZM+A61Gx7QRBZI0ia3xiWksZhbylhYuaQp6l4KxUuRKuXLqCdg5t+frlC1eydDzzRLrMjm/fjq9fPH8x2f6QkBAsnLcIk6dNgo6OTqrjnzx+gmEjhqJj5w58fdrk6WleK7ueT8zrY9yo8QjwD4CWthZvo6aWpkjYnOnhMJH1JcsXc+PX82fPUb5CBSgqKvD9Vx2vcbHwtAxPBCHpfH+4GglxzDAsBYu6UzOszzwDT628wZcVlOXReoQ9Cjs/f3mj78itePn2J1/X1VHD9tUD0bRBhfxuGkEQRIFFVUURK+b14F5QIybvwdcfnrjz8BNqNJ2FMf0bY+pEYwplJgoVMrLMmKTHS4025fm26MgYuH/15tn1nJ79gL97MPzcg/i++Lh4uH3x5uXJOYG0iYKSHIytDLiQOfOQYkYpTQM18hgkiAwossangsLgoYPQkQmGt+sMLS1N+Pr68e2ZzdYweNggdHbogg5tO/Hj/f0Dku1nBh8msD1l+mSxxzdq0ggL5i7Evbv3uBZXREQEF4MXBwthS5mBzsXZNUNDXf0G9VCjVnW0beXADU6PHjzC8lVLRWFw7DMfO3KcZ/hjxidvLx+0bNoKZcpYw8fXF85Ozti0dUOm+oMgJAXmScc8/jQUw+D+4SjfZmTTCWp6gpm59Lh37BU8fwp+C1oMtoOGbuEWzDx98TlGTtnDZ+UZ9rWtsWvtYBgZauV30wiCIAoFtatb4pHjPCxefRbrtjsiLDwKizdewu2nzti8oj9KlzTM7yYSRK4hryiHEuWNeTGrpMffXZiuJg/VcxJk12OGqdCAcF4/KiIGP9648SJERVMpiZg5M0wZ8m0EQSRCxicJh2Wvu3ztIh4/egIVZWW+3ralg0gou2btmihRwjzZMVWr2fLsgUKD0AXH86LjK9tWxvmzFyAnJ7j1L1+84iF1TEdJHCzbIAuXc3H5hVIWpaCpqYkvnwVuqDnJlu2beRu9PL0wY9Y0HuInpLi5GZauWCIyRjFh+uo1q+HFsxdQVFJCFdsq0NBQT/Pc4vpoyfJFUP/riZVyPxMVFwq8C5k1ZwYMDWngReQcD+4/QN+e/TFvkA70FeIhJSMPizqTMjzO/08Qru99wpfZAKdWu8Lr+RMRGY2p849i18HbIqP7tLHtMHlUG8iQuztBEESOwsKXF0zvAodWVTF0wm58dnbH4+dfUavZbMya2B4jBzaj316iyKCioQTrGua8CCcNA71DkomZs8IMUYywwAh8fvyTFyEsA3FS7yjj0vqQV0pbLoUgCjtkfJJwWNY/5h3RtFkTvr56xRpUrlJJtN/CohQvSWEZ8VgRwsLdhMczknonlSxVAjUzECGvWKkiL0JMTDLWqspOTHZtu1pi97FwwJQeVcyo1qJVi0ydW1wfdenWJc396urq3CCXFGHYIkHkFGtXrYepbgz0FX7xddNKvaGkkb6XIBv4nF5ziwtlSstIoePERoVWc8D5uwd6D9+CD58FWWmMDDSxe8MQ1K2ZsWcYQRAEkX1sK5bEg0tzMGP+Yew8ch+RUTGYseg4zlx6wb2gMqNZShCFDfauomWgzkuF+paikDzv3/4iMXNWPL77cl0p4YQhK29vCfRypaSlYFhCJ9E7qowhX5eRFZ9kiSAKG2R8knCYt8+kCVOgp6uL0NAwLva958CuHDt/UqMSQRB5x+p1K/FoP9Ny84aMnApK1ByT4THvbjvjy1MXvlynUxU+g1YYOXv5BYZN3IWQUEEmv6YNymPb6oHQ00nbw5EgCILIORQU5DCyT0P06dEAwybuxpsPv/DizQ/YtZyDqWPaYvywliIveoIoqrAJQMMSurxUa2HDt7EJQo/vPtw7SmiU8vktkD1JiE/gxilWnl0UJI1hmfSKldZLErJnCB1jDdKPIgol9NSQcGRlZXHs5FE8fvSYiwxXqVo5zRA5giAKDspxX6Gj6M2XzasPg4KKbrr1I0KjcG79Hb6sqa+Gpv1qorARGxvHs9mt2+bI11lo3bwpnTB6cDMSvCUIgsgHypc1w53zs/jv8qI1Z3nW0QUrz/BJgq0rB6BiucKfaZUgsgIzJpmVNeJFSERIJNycvZOF7AX5hIqMVb8+ePAiRFldESZ/daPMyhjwTHvqOpRYiSj4kPGpAMCyujVoWD+/m0EQRA4RHx8L5zsL+LK8ij6KVxua4TFXtj9EiL9A6LL9uAY8y11hwss7CL1HbMHDp1/4ur6eOvZvHo46Nazyu2kEQRBFGllZGUwY0QqtmlbG8Em78ezVd7z/5Ar7NvMxfnhLTB3dlntKEQQhHiU1RZS2NeNFCDM+cTFzYciekxciQ6P4vvDgSDg/+8WLEDbxaFpGEKrHjFImVvpQVBFk/iaIggIZnwiCIPJQw+3ShcuoWioMYX6C+H8Lu4mQlU9/Nuv3Jw88OfeWL5ezt0BZu+QaZgWdR8+cub6Tp3cgX69VrTT2bxpG2ewIgiAkCOvSxXD91HRs3XMDc5ef4kkhVmy4iPNXXmHrqv6oVrlwPZsIIjfR0FOFhp4FytW14Ovx8Qnwcw8UeEYxDyknL/z56o3Y6Di+n4mds/L+7je+LiUF6Jlpi8TMmYaUUSldyMrT6z0hudC3kyAIIo84uP8Qli1cgCUDYqGmCKhoW6BYhf/SPYaF255ccQMJCYCCkhzajS48XpBMQH3zruuYsfg4D7ljjBzYFAumdSYtEYIgCAmEhUOPGNgUzRtXxIjJe/DgyRd8+fYHjdov4r/fMye0h7ISeWMQRFZhGX31TLV4sW1ahm+LjYmD5w9fgYfUZ4GHlJeLHx8TsuL9y5+Xl46fBP+fcjIoZqGXLMOerqkWPzdBSAJkfCIIgsgjQ8u1q9fRuDIzPMXybaXrzYS0dPo/w/dPvObClIzmg+y423VhICQ0gr+4nL74nK+rqijyLEodWlfL76YRBEEQGVDK3ACXj07G7kN3MXPxcYSGRWL99qu4dO01Nq3oTyHTBJEDyMrJwMTKgJdafxNvR4ZHw/2vfpTQKBXgGcz3xcXEibLu4YzAY15RRZ4fnzTDHvO6Ytn7CCKvIeMTQRBEHsAe8nv3rMW9rTWAhFhomtSAnkXTdI9hg4lrex7zZRbbX7t94chO+d3FC10HrIfT1z983cqiGA5tG8FDOgiCIIiCgbS0NAb2aoBmDStg1NS9uHH3A767eKN556UY3KchTxihpqqU380kiEKForI8SlUy4UVIaEA4N0QJQva88NvJE+FBgozBkWHR+PbKlRchTLycCZoLM+yxZWXmkk8QuQwZnwiCIPIIlyfrIJUgEJO0rD873Vkn5il1Zs0txETGQkpaCh0nNuYpfQs6N+99QJ/hWxAYLBBPZ55OzOOJeT4RBEEQBQ9TYx2c2T8eh04+xNR5R/jv+/Z9t+B48y02Lu2HhvaCFPQEQeQOqlrKKFOrJC/CMaS/R5AoVI8Zpli2PTamZAT7heHTwx+8CNE10eRC5kJRc+PS+jxzH0HkJPSNIgiCyAPC/L/D7e0Bvmxg1QaaxaqkW58JSn5+/JMv1+lYibtMF2TYQGjTrmuYvvAYF9Vkhjem7TRmSHNy/SYIgijgsN/0np3roFFdG4ydsR+Xrr/Bbzc/tO25Er271sXimd2gqaGc380kiCLz/6hTTJOXSo0EWYPjYuPh9cvvb1ieFzdIMT2p+LgEvt/XLZCX1zec+Dqb8DQqqSswRnGjlCEMzLULxUQokX+Q8YkgCCIX+er8FevXbsB/dXyREM+8mORQ2n5ausdEhkXh3PrbfJnF5TcdULtA3yOWEWn01H04cvoRX9dQV8LejcPQpH75/G4aQRAEkYMYGWrh6M7ROHnhGSbMOgj/gFDsP3Yf1++8x7rFfdCySSXqb4LIB2RkpVGslB4vNVoLxl/RkTH489WHG6RYqB4L2fN1F2Qejo+Lh/tXb16enH/Pt8kryXGPKIGYucAopWWkTpOIRKYh4xNBEEQusmzxcvx4fw2h5tF83bRybyhrlUj3GMedjxDsG8aXHcY24PH9BZU/ngH4b9AGvHwr8OKytDDCsZ2jUbqkYX43jSAIgsglr4vObWugXu0ymDTnEE5deAYPr0B0GbAOXRxqYvnc7tDVLhzJMwiiICOvKAfz8sV4ERIWFAG3L16ikD1mlAr1F0glREfE4Oc7d16EqGgoJRMzZ55Sqprk5UiIh4xPBEEQuURsbCwMjQxQRVMQYy8rr4aStcamewx70D86/YYv29QphXJ1LQrs/Xn68hu6D94IL58gvt6iUUXsXDcYGuo0KCEIgijs6OuqY9+mYejYpjoPxfP2Ccbxs09w6/5HrF7Qi7KbEoQEwoxJVtXNeRHKJgR5h3Ixc4F+lBc3TkWFR4uMVU5PfvIiRMtQXSRmzoxSxpb6UCjAE6lEzkHGJ4IgiFxCVlYWo/vb4c2ZXXzdvOZIyCvrplmfxeOfWnkTCQkC12aHMQ0K7L3Zf+wexs44gOhogeFt0qjWmDWhPc+ORBAEQRQd2ja3RZ2aVpg2/ygXJff1C0Hv4Ztx6kJVrF7QEwb6GvndRIIg0vFk1DRQ46VC/dKikDwf1wCBZ9RnL7g5eeLPNx8+jhVma2bl7W1nwTmkpWBgriPyjmKGKcOSOpCRlaF+L2KQ8YkgCCKXiI+LgfOdRXxZQdUIxW0Hplv/4ek3PLae0WxAbf6gL2jExcVj1pLjWL/9Kl9XVpLHlpUD+Mw3QRAEUTTR1lTFttUD+bNg1NS9cPcIwLkrL3D/8Wcehte1fS3SjSGIAgITHWfGJFaqthBks4yNjsWfb75cyFwoau7925/vS4hP4OLmrDy//JFvk5WXEelHCY1SzMuKKNyQ8YkgCCIXwu1iY2Lh43QM4QHf+TaLupMhI5d2uFmAVzCu7hIIcrOHsV2HgifKGhoWiQGjt/EsR8L020zfqYKNWX43jSAIgpAAmjaogOc3FmHm4uPYfegO/APDMHDsDpw8/wzrlvSGsZF2fjeRIIhsICsvC7OyhrwIiQiNgvsXL0HInpNAQyrIJ5Tvi42Ow6+PHrwIUVCWg1lZI+4ZZWItEDVX11Wl+1GIIOMTQRBEDnP08DHs2rIRUzr6gQWZqepao5hN5zTrs5me06tucSFH5prccWIjnpWkIOHu4Y/O/dfh3cfffL1a5ZI845GBHoVTEARBEImoqylh/ZI+XPNp5OS9cHH1geOtt6jWeCYWz+yKPt3syQuKIAoBSqoKsLA140VIsG+oyBDFjFJuTl7cSMWICo/B1xe/eRHCsj6zrHpMyJwZpYytDPh5iYIJGZ8IgiBykPDwcKxdvQ51S3tAOl6gd2RZfxakpNOOa39z84tIqLFOp8rc9bgg8ertT3QZsB6e3oL0vCysYuuqAVBSJHFJgsgKp0+egeOVq4iLjYV9fXv06NWda8elRXBwMPbu2of37z9AWloKzVs0R/uODlmuk51rE8S/Ut+uLJ5eX4B5y09hy54bCA6JwMgpe7kX1MZlfWFupkedTBCFDObJZFOHlVKiCVhft0BujPr45BuCPMK4BAXzjGIwT6kgn2/4cP+b6Bz6ZtrcGCUwShmimIUu97wiJB+6SwRBEDmIkpISFswZhQSnKXxdp0QD6JZsmGZ9liXk3Po7ouwgzfrXKlD34+zlFxg0dgciIgVZT6aOaYvp49qRsDhBZBFmtN61fRemTJ/Cf0dWLF2JD+8/YMXq5WLrh4WFwaFVe+jo6mDA4AEICw3DqhWr8e3rN0yaOjHTdbJzbYLIKVSUFbjmU/tW1TB80m58/eGJOw8/oXqTmZg3tTOG9GlIzxOCKOSC5nqmWrxom6vC3NIUcbFx8PzhlyzDnpeLH9eOYjAtKVZeXv3M11m0gJGFHjdGsVA9ZpDSM9PmEy6EZEHGJ4IgiBx+iBrLPISnTAJL7wGrBnPSrX9h0z2EBUbw5Q4TGhWYVLRspmrVpkuYu/wUX5eXl8WWFf25aCxBEFkjKDAImzduwYJF89D1v658m66eLvr06IshwwbDorRFqmOuXHKEq6sbzlw8Aw0Ndb7N0NAAfXr2Q59+vaFvoJ+pOtm5NkHkNLWqlcYjx3lYsuYc1m67gvCIaEyacwinLz7D5hX9UbpkwfIIJggi+7AseMaW+rzUaleBb4sKj4a7s3eykD2WUY/Bsuyx8D1WHp8VnIONp02smHeUwBjFPKU09dUopFeSjU9RUVF4/eoNXH66IDQkBJpaWrC0Ko1y5cvRLARBEIQYAt1fwNPpHF82qdgTqrpWafaT84tfeOn4iS9XbmIN6xrmBaJPo6NjebYiljKboaujhqM7RqFmVUEKXoIgssbTp88QHRWNxk0bi7bVqWsHFRUV3L/3QKwByM/PD6qqqiKjEqOYcTGe8ODB/Yfo0Kl9pupk59oEkRuwUO350zqjXUtbDJu4G5++uOPx86+o1Ww2Zk5oj5EDm0KWUrMTRJGEGZNKVjLhRUhoYDjPqif0jmJ/WUSB0Fj1/bUrL0JUtZVhZm0Ik7/6UcxTSlldMV8+T1FFrPHp44dP2L1zDy5duITIyEi+TV5eHtHRgrAKLS0tdOrSEX0H9IGxsXHetpggCEICYUb6kNBQhL8ReDrJyquhlN2kNOtHR8bg1MqbfFlZQxFtR9VDQSAwKBzdh2zAvUdOfN26dDGc3DOWtDkI4h9wd3Pn4ywdHR3RNhkZGe6BxPaJo2pVWwQEBHCdpuYtmvFtR48c43/dXN0yXSc712ZEhEcgIkIwyGcEBgg03wjiX7GtWBIPLs3Fio0XeYmMiuHZ8c5ceo7NK/vDxirx5ZMgiKKLqqYyytQqwYvQKz/AIxiuTswzSmCMcnP2QkykQIM11D8cnx794EWIjrEG94wSGqVYxml5Rbl8+0xFyvjEPJ1mTpuFc2fPo0HD+li6YjEqV6nMZ8nk5OQQGREJFxcXPH/2AhfOX0Qj+yYYPnIYRo8blX+fgCAIQgKYP2cBQlxvYFALgZG+RK0xUFDRTbP+tT2P4f8niC+3HVmPP0AlHbc/fmjfew0+OwteSBvZ22D/5uHQUJf8thOEJBMTEwMFhdQht0pKinyfOGyr2WLK9MkYO3IcSpQswZMdlClrDV1dHe7ZlNk62bk2w/HiNZw9cSHVdtcfHgj2C0NOEh8XDxfnxNlrIm/I737v0doWVcsaY9aKM/j01QMv3/6EXYu5GNqzHgZ0qwu5QuwFld99X5Shvi/4fa9hoozyJiVQvkkJfs4AjxB4/fSHt0sA/+vvHoT4OIF+lJ97EC9vbnzh6yzrNDNI6ZfQgoG5Nv+rXUwd0jIFKwu1JH3vmY6XWOMTE6ZUVFTEg8f3uA5AShSVFGFdxpqXXn16wvmLM/bt2Z8rjSQIgigoME2V508eYXoXwYuaooYpzGwHpFnf7YsX7h17xZctqxVHlaZlIOm8//QbHfqsgYeXwLuhd9e6WLe4N+TkSDqQIP4VFhYXEhLKjT1ssk9IQEAgNDQ00jxu2Iih6Nm7B/e8VFZWgbGJMcpZlYeevl6m62T32s1bN0W9RnWTeT7Nm7YYpiWNoK2jjZyEDYiTDl6JvEES+p1dv1HjKli3zRGL155FVFQsNu69hbvPvmLrygGoWK44CiOS0PdFFer7Qtj3KYbZMVGxPKNe0nA9lnGPwUTNfV0Defl0T5CJWk5RFiaW+qLsekw/SttIo1DpR7nk0W9OsrcGbW1tLFg8P9MHW1pZYtHShbnRLoIgiAKDqakJDm7sCa83G/m6Zb2ZkJEVH0PORBFPLr/BH27sYdZxQiOJf3jduvcRPYZuREioIAybZbObNradxLebIPKKoKBg5u8PDc20jTXpYVPORiR7UKlyRb7s6eEJby9vlC1XNt1j1dTUUL5Ceb587ep17tFU2652putk99pKykq8EERuw3SeJoxohVZNK2PE5N14+vI73n9yhX2b+Rg/vCWmjm4LBQUKkyEIInPIKcjCvFwxXoSEh0RywXKhmDn7G+IfzvexsL2f7/7wIoRJZgiMUYn6UapaFAmQJeOTt7cPenfvg85dO8GhQ7tk8f8EQRCEeKLCfOD7cQ9f1jSuBgOrNml21f0Tr/hsC6PZgNrQLpa9l9W84uCJBxg5ZS9iY+P4C8DGZX3Rs3Od/G4WQeQrwcHBOHn8FG5cu4FXL1+L9DGZ93gV28pcvJtpY6qrJwp9pwdL5FKmbBmedW7rjs08qcumDZu5d1L9+ol6cMMHj0Atu1rc+5xx/NgJdOzUgWs0eXl6YenCpWjfwQGlLEqKjsmoTmavTRD5DdMYvHZyOrbuucEzrUZERmPFhos4f+UVtqzsj+pVSuV3EwmCKKAoqynyaARWhPpRQT6hybyj2F8mZM4ID4rEl6cuvAjRMlTnxiihhxTzliooWazzxfikoqLMBxuL5i/G0kXL0LBxA3Tu0hn1G9aDrCyFVhAEQYjj2/1liIsRaJxYNpibpkeQr3sgru56xJdNrPRRp2Nlie1Q9tBduu48Fq0W5KxVU1XEwa0j0Mi+XH43jSDyDaZ9uW3rdmzbvB2amhqoZVcbU5o1gba2FiAlBT9fP3x4/xE7tu7EymWrMHjYIAwdNoTLFmTEhi3rMbDPQNSqZscFwJlBa8v2TcmOZYYuFjYnhF2P1TcqZgRnJ2e0bN0ylUd6Zupk5toEIQnIyEhjxMCmaNG4EkZM2YP7j53w5dsfNGq/iGfDmzWxPZSVFPK7mQRBFHDYWF5TX42X8vUE2ZzjeUhegMgzihmj/nzzQVxMHN8f4BnMy7vbXwXnkJaCfnFt7hllYi3wkDIsqQtZucKrV5dF45MKDhzex92tT508jVMnTmNgv0E840mHju25R1RpS0qlTRAEwdi5bSfk471hGHqErxuWaQ/NYlXSNOacWnkDsdFxkJaRQqfJTSAjK5nihTExsRg7Yz/2Hb3P1w31NXF63zhUsDHL76YRRL7CDE/Pnz7Hjt3bULtO7TQNzfHx8Xj88DG2bNqKbVJSGDNudIbntrAohVv3b+LzJyfExcVyfU1mCErKpm0buVh4Uj2n7j3+w48fP2FW3FSsx3pm6mTm2gQhSZQ018elI5Ow+9BdzFpynIeFb9hxFZeuvcamFf1Qt6Z1fjeRIIhChvRfYxIrVZsLwtJjo2Ph8d2XG6KERimf3/4sEp9LbHj99OPl+eWPvL6svAyKWej91Y5i4XoG0DXR4ucuCoh1ZzI0MsSIUcN5efniFXctZ6l5t2/dgYqVK6Jzl05o69Am0+7kBEEQhQ1mpF+5fBWGtgiGoVk8pGUVUbre9DTrv3D8hG8vBVkk6nW15alcJZGQ0Aj0GrYZN+5+4OtlLI254cnUmMKwCaLfgL6ZMiSx0DW7una8sBC9zMKOs0lHZ8m2amrjNtOZqlylUrrnzUydjK5NEJIG+84O7NUAzRpWwKipe/lz68cvb7TosgyDejfE/KmdoKZKumQEQeQesvKyIkNS7fYC3cTIsCi4fREKmjODlBcCvUP4PjYJ/fuTJy9CFFUVuBGKl7/n0tBVLZS3LcNYOjbQYWXO/Nm4dvUaN0TNnjEHmzdsxqPnD/OmlQRBEBJGYGAgGtfUQ1kzQXaM4tWGQEndRGzdEP8wXNh4ly+z9K1N+tWCJOLlE4SOfdbgzYdffN2+tjUObxsFTQ0SUCQIRnYm3WiijiByFzY5cmb/eBw++RBT5h1BYHA4duy/Bcebb7lOIYWLEwSRlyiqKMCiiikvQoL9wuDmxMTMhfpRnogIieL7IkOj8PXFb16EqOuqcCOUMGTP1MoASmoFPxQ+00JOUVFRCAkO4YW5kzNRTYIgiKKKpWUpdGuQgHB/QF5FDyWqj0yz7vkNd0UPmE4TG/MsG5KGy28ftOu5Et9dBGLoXRxqYsuK/pRBiCAIgpB4WAhsj851uKGJhY1fvPYaru5+aNdzFXp3rYvFM7vRRApBEPmGuo4KytqV4kUox+HnHiQyRLGQPXdnb+4ZxQj2DcPH+995EaJnppXoHWVtyMP3JPGdIj3SbW1cXBzu33vAvZ2uX7uO2JhY1K1XB5u2bkSTZo3zrpUEQRAShuvrvQj3/8aXLepMgayCePfYz49/4M3NL3y5WksbWNhKnm7S+0+/4dBrNfd8YowZ0hwLpnXmIQ0EQaTN7Zu3sWPbTvz+7crHSEkZOLg/Bg4ZSN1HEHmIoYEmjuwYhVMXnmHC7IPw8w/F/mP3cf3Oe6xb3Actm6QffkoQBJFXBnNdE01eKjcRaNTFxcbB86efwCDFPKScPPk6045i+PwO4OXVNSe+Li0jjWIWujCxFnhIsUx7+mbafHuBMj59+/YdJ4+fxJlTZ3la3pKlSnKNA5aq18DQIO9bSRAEISEw/RZF2Wh8f7iSr6vpl4Nx+W5i67KY71Mrb/JlVS1ltB5uD0njwdMv6NJ/HYJDIvj6wuldMHZoi/xuFkFIPJ8+fsbgAUPRtFkT1KpdCzKyybPXMI1MgiDy56WuU9saqGdXBhNnH+KGKA+vQHQZsI579S6f2x262mp0awiCkChkZGW4JiwrNdsKtkVHxMD9q3eyDHv+fwSTxfFx8VxbipUn597xbQpKcjC2Yt5RTENKYJTSNFBLM0FKvhqfQkND0bNbb7x5/QZqaqpo1aYVFxe3rWabfy0kCIKQEGJiYuDQugM624WglJZARNi60QJISYtPmXppy30E+YTyZYexDaCsLlnhyheuvkLfkVsQFRXL01dvXt6Phy0QBJExjx48RPOWzbBh83rqLoKQQPR01LFv0zB0bFMd42Yc4N69x88+wa37H7F6QS+0b1VVYl7ICIIgxCGvJIcSFYx5ERIWGCEQMncS6EcxwxTbxoiKiMGPN268CGET4EnFzNmyioZS/hufIiMjoaSkhNXrVqFFq+Z8mSAIghBw7MhxRAd9QwlNgX6TobUDtExriu2eb69c8eT8e75czt4CFeqXlqhu3HvkLkZP24f4+AQoKcpj/+ZhaNGYwhEIIrPIyslBT0+POowgJJy2zW1Rt6Y1pi04ioMnHsDXLwS9h29G2xa2WLOgFwz0NfK7iQRBEJlGRVMJ1jVL8CLUjwr0CknmHeX2xYt7TTFCA8Lx+fFPXoRoF9MQGaSYd1SsVHLpgDwxPunq6uLIiUOpKvn7++Pb128ICgpGk6aNuRaUjIz4mX6CIIjCSuu2raHovgrSUh6QllWEZf2ZYuuxH/sTy6/zZSU1BbQf11BiZlfZA2rlpkuYt/wUX9dUV8bJvWNRs6pkGccIQtKp36Ae+vXqj3ETx0JNjUJ4CEKS0dJUwdZVA7gX1Kipe+H2xx/nr7zE/UdOPAyvW4daEvOcJgiCyArst0vLUJ2Xig0sRSF53r/8uSFKaJTy+O7LtzNY6B4rb285C84hLYV5F4bmeka9dAXHIyIisHDeIhw/eoKHm+jq6aJxk0Zo3bwt1m9ai9KW9LJCEETRIdLjDtRlPPhyiRqjoKie6AKbFMedD0Xx2G1H1ecZLiQBlqmUpaHesucGXzcy0MTZgxNgY2WS300jiAKHeQlzbpBuXL8p7OrYQVU1+f95g4b10aBRg3xrH0EQqWlSvzyeXV+IWUtOYNfB2wgICsOgcTtw8sJTrF/SB8ZG2tRtBEEUeKRlpGFYUpcXlvCIERMViz/ffBIz7H3yhK9bIN+npq2c64anDI1PM6bMxKdPn7Bjz3aYmBijW+fu3LI2cPAAbNuyHSvXrMj1BhIEQUgCcTHhcL4zny8rqpvAvPowsfVc3v/Bg5Ov+bJ1DXPYNisDSSA6OhZDJuzEiXNP+XrpUoY4d2ACzEx087tpBFEgcXNzx+6de/gA76uzM2Rkkg+pytqUzbe2EQSRNupqSli3uDc6tK6GkZP34OdvH1y99Q7VGs/Eohld0fc/e/KCIgii0CGnIIviNka8CIkIiYTrFy+4fRNMrueb8SkqKgoXL1zC3Ye3YVTMCN7ePqJ95SuUw4a1G/KkgQRBEPkdpsa0nioafkNkyB++zbLBHMjIpdbEYzMKJ5ZdR0ICoKAsj44TG0vEADY8Igq9hm3mg2tG1UoleagdZfshiOxz/ep1lLIoiWOnjpJGJkEUQOrVLoMn1xZg/orT2Lz7Os/6ykLyWHa8jcv6wtyMNN0IgijcKKkpwrJqccirS+fJ9dK8SkR4BKSlpWFoZJj6IBkZxMbF5XbbCIIg8p0b129i+fwp+PFkE1/XMq0NA8tW4uvuewLv3/58udWwujy1aX4TGhaJ9r3XiAxPDeva4OKRSWR4IogcCGOtVbsWGZ4IogCjoqyAZXP+w/VT07hHMOPOw0+o3mQmD1Fn/+cEQRBELhufNDQ1oKyszF+8UvLy+QtYW1vlUBMIgiAkl1s3bqNTnVjIySYwNT5YN1og1puJZZW4c+QFXy5V2RQ12pRHfuPrH4IBk/bi4dMvfJ1l9jmxewxUVXI/ppsgCjtlyljj9es3+d0MgiByAJZ04/GV+ZgwvCWkpaUQHhGNSXMOoVnnpfj6w5P6mCAIIjeNT+zlqlffnhg1bDSWLFqKp4+fcnX0SxcuY9niFejdr3dOXJ8gCEKimTiiJapaCjw9TSr2gpp+ah2X2Jg4HF96DfFxCZBTlEWnyY354DU/8fAMQPPOS/HRWRAq2KOTHfZvGgYFBbl8bRdBFBaMTYzh7emF0SPGwPHKVTy49yBZ+f3rd343kSCILKCoKId5UzvjzrlZsLEWJOJ4/PwrajWbjbVbryA2lqI+CIIgck1wfPTYUQgNCcXuHXt4tjvGlIlTMXXGFNjXq/tPFyYIgpB04uNj8eXWbL4sq6gJi7qTxda7ffg5T1/KaDHQDrrGmshPfv7yRpvuK+HiKtDqG9q3MZbP/Y+HUhMEkTOcPnUGLi6/eDl/9kKq/WPGj8a4CWOpuwmigFGlYgncvzgHKzddxPINFxEZFYOZi4/jzKXn2LyyP2WIJQiCyA3jk4yMDGbNnckHUF+/fIWUtDTKli0DRSUK2SAIovALjbu/PYRQn0983aLOJMgrpU7B7PnTFzf3CTLIsewRdh0rIT/57OyOtj1WwsNLkDp1SI96WDFPkKmUIIicY/DQQejRq0ea+1VUlKm7CaKAIi8vi+njHNC2uS2GTdyN1+9d8PLtT9RpOReTR7XBhOGteB2CIAgi82TqV1NdXR221WyzcFqCIIiCy9s3b7FswVz0qyMwPKnoWsGkUupQYxaKfHzpdcTFxkNWXgZdpjbladfzi9fvXNCu1yr4B4Ty9UUzuqBdg3JkeCKIXEBFRYUXgiAKL+XKmOL2uZlYv90Ri9acRVRULBatPouzl19gy4r+3EuKIAiCyBzJ3pLCwsLw5LFgBj+zngG3btzKdH2CIAhJh/2uzZu9AMUVnyMhJphvYyLj0tKpbfX3T7yG62eBEGmTvjWhXzy1Z1Re8eDpF7TstowbnpiX0/olfTBmSIt8aw9BEARBFAZkZWUwfngrPLoyHzVtLfi2j05uqN9uAWYtPo6IyOj8biJBEETBMz7FxcVh1PDR6NG1JxcWj4yIFHuQn58f9u3Zj+aNW2Dj+s151VaCIIhch/0OtmpcFvXKC4RF9S1bQad4ao07H9cAOO58yJeNLfVRr1v+eYdevfUWDj1XISQ0kg+Sd60fjP496udbewiisHPz+k2sXb0Op06cRnBwsNj9rBAEUXiwsjDC1ZPTsHxudygrySM+PgFrtl5B7eZz8OiZc343jyAIQuKRTRled/v+TWzZuBXTp85AeFg4rKytYFTMiGsXBAcFw+WnC378+AlTM1MMHjIQ3Xt1z7/WEwRB5DAyMtIop/0KQZGAtKwSrBrOTVWHDThPLLuO2Og4HmbHwu1kZGXy5V6cvvgc/Udv41l4FBRkcXDLCLRonL+6UwRRmJkxdSYOHTjMdTGZsVpXVwfrNq6FXV07UZ13797zv42aNMrHlhIEkRtjhOH9m6Bl40oYOWUv7jz8hK8/PNGs81IM7tMQ86Z0gqoKaeMSBEGII5U4iaqqKiZNnYgnLx5hzfrVqFylEiIjI/H7lyvf37RFUxw8sh93H95Gr769+OCLIAiisPDnw3EE/XnJl0vWHgsldUG65aQ8PvMWP9+58+WGPauhmIUe8oMjpx6h78gt3PDEBrtn9k8gwxNB5CJOn524t9O+Q3vx1eULHG9cRkmLUujXewAcLztS3xNEEcHcTA8XDk/EpuX9oKGuxEP2t+29iepNZuLWvY/53TyCIIiCJTiupKSE1m1b8UIQBFHY8fjjgYS4cDjfWcDXlbVKwbzqkFT1fN0CcWnbfb5sWEIHjXpVR36w98hdjJq6jw94tTRUcObAeFStVDJf2kIQRYUXz1+iTbvWqFffnq9bl7HG4WMHMWv6bIwcNhor1yyHQweH/G4mQRB5ANNX7NPNHk3ql8fY6ftx+cYb/HbzQ9ueK9GrSx0sntkNWpqUlIAgCEII5QglCIIA+MujsdQN2JURaN1ZN14IaVmFVOF2x5deRUxkLKRlpNB1ejPI5kOq5W37bmLCrIN8WUdbFRcOTUIFGzO6jwSRy0RFRXEP8aTIyspiyfLFUNdQx/gxE3kdgiCKDsUMtXBs12icOP8Uk+Ycgp9/KA4cf4Drdz5g7eJeaN20Sn43kSAIQiLIv5zgBEEQEsKnj5/h/OY6allFikTGdUukFux+ePI1fr77w5cb9qoOEyuDPG8rS/csNDzp66njyrGpZHgiiDzCppwNLl+6wrMDp2TajKmYMGkcpk6ajiuXKASPIIqaF1SXdjXx4uYidGpbg2/z9A5Et4Eb0GfEFvj4pU5MQBAEUdSQlsTQl/lzFqBLx24YPWIMPn74lN9NIgiikFOmrBXmDi0Baem0RcZZdrvL2x/wZSMLPTTqJRhc5iXLN1zA9IXHRDOtV09MQ1kr4zxvB0EUVWrUrA4VFRWMGTkOMTExqfaPGD0CcxfMwVfnr/nSPoIg8hc9HXXs3TgUx3aOhqG+Jt926sIz2DacgeNnH/NQeYIgiKKKRBmfvn39hpZNW8PHxwdjxo5C67atMXPaLERGCLwRCIIgcktkPDbYKU2R8fi4eBxbfFWU3a4bC7eTy7tkC2ywOn/lacxfcZqvm5no4OqJqShd0jDP2kAQhMC7YfvubejZuwcC/APEdkmffr1x5MRhNG/RjLqMIIoorZpW5l5QvbvW5ev+AaHoP3o7uvRfhz+e4n87CIIgCjsSpfk0fcoM2JQriw2b14u2NWhYnzLqEQSRa8REBmYoMn7v+Cv8+ujBlxv3rZGn2e2Y4WnW4hNYu+0KXy9ZXB+Xjk6GqbFOnrWBIAgBjx4+RmxsLOzq1IacnFya3VKzVt57RhIEIVloaihj84r+6NSmBkZO3cPFyK/cfIuHjWZg0Yyu6PufPTdoEwRBoKh7PjHBTBYCl1e4u7vj2dPn6N7zv2Tb2eBOmsXCEARB5DAsxPfukTGIifBPU2Tcy8UPV3c94svGlvpo2KNanhqeJs05LDI8WVoYcY8nMjwRRP7g5emFkcNGoUqFqhg7ahyuXLqC8PBwuh0EQaRJQ3sbPLu+EEP7NubGpuCQCIyauhet/1uBn7+8qecIgigypGnVCQoKRp2a9hjUfwju3rmX6zHKX52/8b+aWlp8QNelQ1dMHDeJCwGnR0R4BPz9/EUlMCAwV9tJEETh4M7tu7hxbhdiva6lKTIeFxuPY0uu8XA7GVlBuJ2MbN6E28XHx2P0tH3YuvcGX2faTleOTYGRoVaeXJ8giNS07+iAl2+fY+OWDVBWVsbsmXNRubwtBvYbjBPHTqYZikcQRNFGVUURK+f3wLWT01C6lCBk/u6jz6jRdBY27bqGuLj4/G4iQRBEriOVkIZVib34XL54BQf3H8KTx09Q3Lw490rq0rUztLRz/uXn2tXrGNx/CExMTTBqzAiYFS+Oyxcv49iR4zh94RTKlbMRe9yZ4+dw9sSFVNvHTx4HDQ115AZM/4XpvhDUV/S9yh9y4n/w/v27iHSajuJ6MZCSVoR54+OQU06uofTyshOenP7Al2t2KAfbltbIC9ggdPaqszh37Q1fL2NhhO3LekNLQyXL56LfK+qr3KKgfbfMLU1z/JxsrPTq5StcvXINVx2vwd3NHdVrVEezFk3RtFkTFDMuhqICmwAcN3Qy1mxdDm0d7Rw9t4uza67cP4L6PT+IjIzBkrVnsXabo8joVMO2FDYt7w/r0oLfDPrO5x/U99T3RRGXPHrOpqn5xELdWrdtxQsTAj944DA2bdiMVStWo3XrVujRuwdsq1bJsYZoaQkyQvTt3wdd/+vKl2vVronnz17gyMEjWLR0odjjmrduinqNBGJ+DOb5NG/aYpiWNMrxwY8Q+lGivqLvVf6SE/+DclGy+OgnyFZVqs44lKyUPJzO84cvnl8QeF6aWhvAYWQj7v2U28TExGLQuJ0iw1PVSiVxZv94aGlm3fDEoN8r6qvcgr5bgrFS1WpVeZkxezr31r7qeBVHDx/FvNnzMXPODAwY1D/X7gFBEAUPRUU5zJvaGQ4tq2HYpN348NkVT19+R+0WczBtbDuMHdI8v5tIEASRK2TqTcqitAXmzp+Npy8fY/SYUTh75hw6tuvEM9MxvYOcwLqMNdd30tNPLuSrp6eL4ODgNI9TUlbiRiZh0fxrxCIIgkiL6HA/ON+Zn6bIeFxsHI4tuYq4mDjIysugKw+3yxvDU9+R23Dy/FO+XqtqaZw/NDHbhieCIPKWsjZlMG7CWDjeuII7D26hZq2adAsIghBL5QrmuHdhNmZOaA85ORlER8di3vJTqN9uAZy+5Z3uLkEQRF6R6bepx4+eYOK4yVi3Zj0PjZs8bRI3GI0eMRYb1m7854aoqamhrUNbHD10DBEREXzbh/cf8OzZc9S1r/PP5ycIghAKBjvfXYiYCIE2S5kmi1OJjN8+9AJuXwQioM0G1IaBee5nlmODzt4jtuDclRd83b62Nc4cGA91NSW6cQQhQZw9fRa7duxGdHQ0X79+7QYvKWFyBSyDb2ZhY59Z02ejWuUaqFJeIGju5+eX7jEfP3xCv179UbVSdVSvUhOzZ8xBWFhYsjpOn50wsO8gvt+2QjV079IDT588S1anYd1GsCxpnawsW7I8020nCCJ7yMvLYuqYtnh4eR73dGa8/fAb3UZsw7wVpxAVJfDQJgiCKPTGJyY6vmfXXjSq14QPVkJDQ7Ft5xY+mzd85DCsXrcS23dvw8kTp3KkMXMXzIaiogJq2Nbi1+zcviv6DeiLLt265Mj5CYIo2ty/dx9929fGn/dH+bpR2Q7QMbdPVufPNx/c2PeEL5vZGMG+S86FF2dkeLrg+IqvN6hTFif3jOUCpQRBSA5PHj/FjKmzuNGnf+8B3GDEJspY+VemTJyKh/cfYu+BPTh59jh+ufzGkAFD00z48sf9D/7r0p3rSl2+ehFHTxzGly/OGD9mQrLMxT269oKikhLOXjgNx5uXYWlthb49+8HTwzOxXnQ0Zs+dhXef3orKhEnj//kzEQSROVhSkZtnZmDJrG5QUpRHbFw8Vmy4iNot5uLZq+/UjQRBFArS1HxiGVtqV68DeQV5dO7SCbv37eSzeCmpULE8lJRy5gWJeT/tObCbeyawUDtTU1Mo5tC5CYIo2rAXuKULF6OrvcCzUkZeHZYN5iarExsdi6OLr/IsdzzcblrTXBdU5oan4Ztx8dprvt6wrg2O7RrNB58EQUgWr1+9RluHNliyfDEuXbiMCWMmwsLSgqdP/xfc3d1x/uwF7NyzQ+QttXDJArRq1hrPnz3nIuYpuXH9BmJjYjFv4VzIyspC30Afs+bOROtmbfDV+StKW5aGm6s7957qP7CfSPx8+Iih2LtrLzdUGRolJllg52ATgARB5A8yMtIYNagZWjaphAEjt+LFOxd8+fYHjdovwvD+TTB7UgeoKNP/KEEQBZc036pk5WQxZ/5sPHnxiAtmijM8MXR0dLi2QU5iYGjAB01keCIIIqdgL4fzxlRHMR2BF4Fl/RlQUEmuMXdtzxN4fPPhyy0G14G+We4kLUjL8NTIngxPBCHJREZGciMPo1WblqhQqQKOHBJ4Uv4LL56/5H9r2SVqRDEjlKampmhfSliWLCZ4LiMjI9omJyuYU3z29Dn/W9zcDGXKlsGJYye493pkZBQOHjiEYsWMULlKpWTnW7F0JcqXqYhmjZpj7ep1vC5BEHlPKXMD7F7ZF2sX9YaaqiKfPNu06xpqNp2Fu48EiVAIgiAKlfGJeSF1694VSkqkN0IQRMEnPMAFgV/282UNoyowqdgz2f6f791x54hAb6lUZRPU6VQ51w1PvYZtEhmeGtcrh6M7yeOJICQZc3NzXoQMHT4ELVo2h/Ffr6Ls4uPlDUVFRaioJE8uoKOrAx9vgUE8JfXq2yMmNoYbjVj4H/NwWr5kBd/n7e0t8mbatXcHXr54hXJWFVDGoixOHD2J3ft3QV1dXXQuuzq1sXXnZtx9eBtTpk3m+ptTJk5Jt80R4RHw9/MXFZZtmCCInIEZlgf2aoDnNxaiaYPyfNvP3z5o1W05Rk3di6DgcOpqgiAKT9gds7IHB4ekeSBzzVZQINdPgiAkH/Z79vnGdMTHRkJKSgZlm62AlFSi7T0qPBpHF11FQnwCFJTl0XVaM0hL/1sYTXowAdFewzbj8o03iYanHaN5+mWCICSX9h0dUm2bv2ie2LqxsbHc+JOVl01x28QrPgElS5XE9l3buMFp545d3HjF9Djfv/8gCgNk4uNMs7N8xfLYtW8nFOTlsXXzNvT8rzcuXjkvCrtbvmqZ6LwNGzfEnPmzMGzwCG6IEobrpcTx4jWcPXEh1XbXHx4I9ksuev6vxMfFw8XZNUfPSVC/SzJJv/OrpnfCheqlsXTzFQSHRGDP4bu4fO01Zo9tg3o1rfK7qYUO+r2hvi+KxOfic9bc0lS0nOaoyMfHF9Ur10j3RKZmphgwqD/69u+Tsy0kCILIIa5dvY4wt1tQ8bvN182qDoaafvIMVBc23YP/nyC+3G5MfWgZJnoE5IbhqceQTXC89ZavN6lfHke2jyLDE0EUMM6dOQf7evbQ0tZKte/9u/c8o9zAwQMydS5dPV2Eh4cjMiIymeSAn68f9HTTzrbJvJ9YYQZ2ZnAKCgzCssXLuWYm4/rV6/j16zcuOJ7nHu0Mpgt19vQ5nDpxCiNGjxB7XptyNvzvzx8/0zQ+NW/dFPUa1RWtM8+nedMWw7SkEbR1cjZkmQ2Ikw5eibyB+l1y+n60lRm6drbH+FkHeVZcL99gjJh5CF3b18TyuT2go6Waj60tXND3nvq+KOKSR8/ZNMPuNDU1MGzkUKipq/GZtM3bNmLdxjX4r8d/kJeX54OXlq1aYMmipXC87JjrDSUIgsgqLHHBgtkzEPt7L19XVCuGUnaJmaAYnx//xNML7/myTd1SqNo886nR/9XwxFzpyfBEEAWTP388MHjAEJ5RLinfvn5Dnx79suQdXsVWkFXzyZOnom1fnL7A398flf/uSw+hp9PFC5cgJycH+/p1RdtZSaoLxdZ5IoV0RNKdv3zlf/X0k+viJUVJWYkbmYRFU0szU5+VIIjsYaCvgUPbRuDg1hHQ1xNMkh078wS2Dafj1IVnaWbGJAiCkBTSND4xA5PjJUee5W7ytElo2bol2rVvhyXLF2HazKl49eIV/8tcsg8dOJy3rSYIgsgELHNmi8qh0Pgro2LdeDFk5RM1VcICI3Bi2TW+rKqljE4TG/9z1qq0iIyMQfchG0WGp2YNK+DwNvJ4IoiCCvP6jo6OxsRxk0Qvfa6ubujZrTcaNWmInr17ZPpcZsXN0LhpY+61xM7h4+OD+XMWcA+kmrUSvdDr2TXAsiXLRetzZ8/Hj+8/EBcXh9s3b/N9Y8aPhp6ewGhUs1ZNqKgoY8HchQgKCubaUGtWreVeSvUb1Od17t29jw1rN/KMeyxU8MXzF5g/dwFq1a4FSyvLHOwxgiByAoeWVfHi5iJ071ibr/v6haDPiC34b/BGeHqR9hpBEAXQ+MQ8Bry8vFGterVU++o3qIe3b9/xZfv69vj9m+LwCYKQPPTVwlC1pGAgpl+6OfRLNxPtYy+Lp1ffRIi/QLSz48TG3ACVe4anDbh6S/C72bxhRRzeNpJC7QiiAMMSsuzcuwOvXr7GymWr4O3tg57devEscktXLMmyIXvV2pWwtCqNxvWbwK56XT4JuHPP9mRaUFGRUYiNiRWtN2zUAMMGD4dVyTLcWDV56iSMGDU8WfbgPQd2c2+sWlVro3I5W9y8fgtbd2zh2fQY1atX4xp3/3XugTIWNhgzchwXUd+xZ1uO9BNBEDmPtqYqtq8ZhNP7xsHYSBD6e/HqK1RtNAMHTzwgLyiCICSSNDWf5OXkuSs5m1FjopZJYWKWwix4wUHBMPibdpggCEJSiI+Pxaerk5iZCTJyyrButDDZ/tfXnfDujiC0pFpLG5SrWyrXDE//Dd6A63cEoX0tGlXkLvMKCiQuThAFHeZhtGf/LnR06IyTJ05xT6F1m9YmC3PLLBoa6li3cS1fFmo4peTuo9vJzm1fry7sbzqmWZ9RtVpVnDhzPM3zMo0ppv3ESnrnIQhC8mjaoAKe31iEWUtOYNfB2wgMDsfQCbtw8vxTrF/SB2YmuvndRIIgiIyNT2ww0rRZE/TvPQBjxo9BWZsyiImNxbMnz7B29ToMHjKI17t4/iIPySMIgpAUfH19EeZyBiHeH/h6qTqToKhuLNof6B2CM2sFAuRMXLztqHq5ZnjqNmg9btwVtOP/9u4CKoqvDQP4I90gZaKI3d0Nih3Y3d2KjQGoqNjt3+5OVMTEVuzuRmy6+ztz92MVCVFpnt85e5i5M7N79+6yO/vOve9t2qActq4awsATUQb1/t17cftV1+5dsG/3PvTo1V2cJ8UMpZNufyOhAFBCeaSSGjD63X4MPBFlPDra6lji0ANtW1TBsPEb8frdV3HeUaXhVNhNbIf+3evHO5smEVFqS3QOYMeFc0WeACmfgZRPQCL1eOo/qB+GDB8srpBJXb5r1JKNOSYiSg95nto1M8ek9n5QUgC0jUsiX8V+8u1RUdHYM+ckQgJCRb7djpMbQU0z6YmBkyo4JAyd+i3FmQuPxDoDT0QZ3/59B7Bk4dIEt/fvPUC+LOVeGm09KpVqRkRZXZ3qxXDtpD1mLjiI5etOIiAwBNZTt4lk5Csce6OwWc60riIRZXEJBp9CQkJx9co1OC6YC5tpNnj75g2UlVVQwMxUPuROUqtOrdSqKxHRb82bOw+tq/hASSFKuo6P4paOUFD48VF39eA9vLgp67lQu0NFFCyXN2V6PP0UeGrWUOrxNBQqKonG+4konRswqD+6dk9aInEp0TcRUWrSUFeFw5ROaNO8CgaP3YAnzz1w5fpzVG80DVOsrTCsnyWUlP58WDARUXJIsA9mUFAgJo+fLM9DULZcWTH07ufAExFRetO/U2mULiAFniB6POnl/jFN+df3Xji2+qJYzlHAAI37JX+vzdDQcHQdtFweeGpuWZ6BJ6JMQlNTE8bGRkm6SfsSEaWFSuXMcOnYdEwc2VIEm0JCwzHFYQ/MW8/Ew6ecKIqI0lnwSVdXVyQc9/f3T90aERH9pbAgT3y8LpuGXE0nLwrVniDfFhkRiV0zXRAeGgFFJQV0tmkMZdXk7YkUFhaBHkNWyme1k4babVk5hD2eiDKRQwcOYf3aDQgLCxPrp06eFjciovREmthE6u108eg0lC9tKspu33+L2s3sMGvhIXHOQkSULoJP0mwqvfr0wuQJNvDxlk1VTkSUnj1ztUN4sJdYLmE5F0oqP3oenN7sBvenX8Ryw97VkadI8s7SGRERid7D/8OxU3dlj1GvtEguzqF2RJnHtatusJk4FY8ePhYTsgQHB+Phg4fiRkSUHpUukQ+uh6fAfmI7qKoqITw8ErMXH0bt5na4de91WlePiLKQBC/7e3p6YtfO3fj29RuOOh2DgaEBlBR/7C6tHztxJLXqSUSUIOmH4NUTa5Evcq9Yz1WiLQzNzOXb3zzwwJmtshmo8pfKhXqdKyVra0ZGRqHfqLU4fPymWK9fqwR2rBnGWe2IMpk7t++gZesWmO3ogGNHnGE9ciwKFSnEWeKIKF2Tht6NGdIMzRtVwNBxG3H15gs8evoB9VvNxIj+jWFj3RrqaippXU0iyqrBJym3U+++vRI8kLkMiCg9iIiIwJQJ49C+3B1AF1BW10dRczv59uCAUOyc4YLoqGioaqigy5QmYthdcgaeBlmvxz4nN7Feu3ox7F4/gidxRJlQSEgIjHPIek02a9EU7u7uYghel26d07pqRES/VaRgLpzYNxFrtpzF9Dn7EBgUisX/HcfRk7exwrEPalYtwlYkotQPPmloaGDIsMEp98hERMnAx8cHNQt/hqFutFgvZm4PFQ0D+fZDS1zh/dlPLFuNrg/93LrJ1u5RUVEYPnETdh64ItarVy6MvRtGitlmiCjzMTWV5U2JMWjIQHz0+Ig8eXKnWZ2IiP6EgoICBvVqgCYW5TBswka4XnqMl2++oFH72RjQ0xx2E9pBW4sTTBFR8vtttt3IyEicdDmJJ0+eIiQ4BBNtJuDypcuoXad2ClSHiOjPKId/QJk8n4FowMC0PnKWaCPfduf0U9w+8UQslzUvggqWxZOteaOjozHKZiu27JbNnlelQkEc2DwaWppqfAmJMimrtq3jlNnP+tHTkogoo8hvYgin7WOxdc9FTJqxC75+wViz+SyOn76H5XN7waJOqbSuIhFlpeDT61ev0a/3AHz6+Akm+Uzg5eWFyVMnYfPGrYgIj0B9i/qpV1Miol9ERYbjkYs1EB0FRWUNlGg0V557RertdGDhWbGsZ6yNNtYWyZaXRQo8jZu+Axu2nxPrFcqY4sDmMbxSSJQFSZOySMPvwsNjzxyVK1dO5MqdK83qRUT0O9J5UY+OddCwbmmMnrIVR0/egbuHJ1p1W4Bu7Wth9tROyK73Y/IWIqJ/kWjik3FjJqBcubJwu30V23ZtlZd36doJmzdt+acHJiL6F+7v3fH2+koEfHss1gvVmQR1XROxHBUZhV2zXBASEAop3tRpSmNoaKslW+Bp8szdWL1JNrV6mZL5cGibNfR0NZLl/oko45BmBC5fuiJaNGmFNi3bxrpJk7YQEWUEuXJmx861w7Fp+SAY6GuJsm17L6GShQ2cXG6ldfWIKLP3fAoMDMSD+w+wfddWqKmrISTkm3xbwUIF8eLZi9SqIxFRLFIvzPGju8G6lRcUFQDdXBWQr3xv+fZzO2/i9T0PsVyvS2UULJc32QJPtnP3YdnaE2K9RNE8osu6vp7sRI2Isg7Xs+fgdOgIFi1dgFJlSkNJUTHWdj09vTSrGxHR3/SCateyKurWLI7xtjuw97AbvnzzRZcBy2HVrDLm23dFDqPky5tJRFmPUmI/sqRbNoW4w1QCAgKhps5EdESUNrZv34rWlaXAUxSQTRElGi9ANgXZDz/3p59xYv1VsZyniDEs+1RPtsd1WHQYC1Y6i+WihXLj6M7xMNTXTrb7J6L07+2bt+Lv82fP0bZ9G7RuEzcPFBFRRmVkoIONywahfctqGDl5Mz598cHBYzdw/vJjONp2QUer6smWxoCIspYEh91paWkhX/58WL5kRZxtzkedUbFShZSuGxFRvDpZGqNI3iixbFZtBLSNionlsOBw7JzhIobdKasqocu0JlBSjt0b4W85LjuC2YsPi+XCZjlxbOc4GBvq8BUiymIOHjgkbsbGxmLGSyKizKhpw3K4cXoWenWqI9a9fALRb9RatO+9BB6fvNK6ekSU2XI+WY8bjWVLlqNFk5ZYtniZmO1u0ngbbNm0RUwvTESU2oJ93eHzfLVY1jQoArPqI+XbnJafxzd3b7HcYlhdGOfTT5bHXLz6OOznHRDLZvmNcWzXeOTMwSE1RFlZ7bq1cOnCJZF/jogoM5LyWS537I0jO8bB1MRIlLmcvYfKDaaISVekUTJERMky213T5k2xYfM6LF+6Ent374OCggI8PDywa98umBU0S/KDEBElh+joKDw6PgbRkcFANgWUaroYCkqqYtvDiy/hduSBWC5R0wzVWpZOlsdcsf4kpjjskU9LLAWecufMniz3TUQZy+GDh+F00EksP7j3AGFhYbA0b4zSZUtDSzP2jFCtrFqilVWrNKopEVHyqV+rBNxOzYCd436s2ngafv7BGDFpM/YdccPyOb1hZmrM5iaifws+ScwbmIsbEVFaunXjFq4dnY3CmpfFummVIdDNVV4s+30PwF7HU2JZW18D7Sc0TJZ8BGu2nMUEu51iOU+u7Di2czxM8hj88/0SUcakrKwMZRUVsayhqYnyFSskui8RUWahqaEqcj61aV4Zg8dtwItXn3HhylNUtZyK6ePbYHDvhlCUZoEhIvrb4BMRUVoLCQnFzKlj0LvWc7GurGWKgjWtxXJUVDR2OZxAkG+IWO8wqRG09DT++TE37jiPMVO2iuWcxnpw3j0BpvlkXc6JKGuSeoSr/3/ClfoW9dO6OkREqa5apcK4etwec5YcxqLVxxEcEoaJ9rtw4OgNrJzXB8UK5+arQkR/F3ySZnW5d+8+/P38Y5VLJ1/SLC9ERCktJDgYbat5Q00FiEY25KwwDYpKamLbuR038OLme7Fcq115FKtq+s+Pt23vJdGdXGJspCOG2hU0zfHP90tEGR+DTkSU1ampKcN2Qju0blpJ9IJ68Ngd12+/Qo0m0zFxZEuMHtQEysrs40BEsSX6qbBty3ZMn2Irhq+oa8iu9MUwMjRk8ImIUkXAuyMw1vgmlgtUGQwV/VJi+d2jTzix/opYzl3YCM0G1frnx9p98CoGj90gkmga6Gvh6I7xKFoo1z/fLxFlfNLEK2rqssB3UgUHB8t7SxERZSblSpviwpFpogfUnCVOCAuLEBO0HHK+iVXz+qBsqfxpXUUiSkcSHZjrOGceptlNxbPXT/Dgyb1Yt7MXz6ReLYkoS89u98zVTixr6hdCwVrjZOX+Idhu54yoyGioqCuj6/SmUFL5t6tsUpfx/qPXisCTvp4mju4YhxJF8yTL8yCijO+/1WswuP8Q3L93/7f73rl9FwP7DcKa1WtTpW5ERGlB6uE0fngLXHa2ReXysgmp7j96jzot7GHruB8hIeF8YYhISPCXWkBAACLCI9Czd4+EdiEiSlGXL12ByofFiAwPFLPblWy6WAy3k4JD++efgfdnP7Ff61H1YZxP/58ey8nlFnoPXy1ySOnpaMBp+1iULpEvmZ4JEWUGvfv2wtJFy9C2VXsUMCuAGrVqoETJ4jDQ14c047iXlycePniESxcv44P7B3EO1adf77SuNhFRiiteJA9OH7DBqo2nYOd4QOSCmr/8qDi/knpBVa1YiK8CURaXYPBJS0sLGhrqCAwMhOYv0wcTEaU0qWfBfzO7oJt5qFjPX2kg9HJXFMtPLr7FPVdZ8vHyDYqhUuMS//RYx0/fRc+hqxAZGQUdbXUc2mYtupITEf1MR0cHU6bbYMCg/tixfSdOnzyDLRu3ICoqSmxXVFREqdIl0aatFTp26QAjI05SQERZhzTb3bB+jdC0QXkMm7hRzIb3/OUnNGjjgMG9G2D6+LZi1jwiypoSHaPSrWc32E61w4xZ9n+c44CI6F/s2bIabWvKAk8q2vlQ6P/D7b689cTFXXfFskEeXbSxNhd56f7W6fMP0HXQCoSHR0JLUw0HNo9GpXKybuNERPExzmGMUWNGiltoaCi+f/+ObMgGA0MDqKryhxURZW1mpsYidcGmnRdgM2s3/ANCsHLDKTifuotlc3uhfq1/u2hIRJks+OTp6YntW3fg29dvOLj/EAwNDWNtl06wjp04khp1JKIsRhpW17qqF7zeyma3K9dyORSV1REeGoFtts6ICIuEopKCyPOkpvn3P/RcLz1Gp37LRIJMDXUV7Ns0SkwhTESUVFKwKU8e5oYjIvqZgoIC+nStB8v6pTFy8hacOHsfb92/oUWXeejVqQ5m2nSEnq4GG40oC0kw+CTNzCLlNkgIh+IRUUrxeLATXm/Pi2XTSgOgl6eyWD6y4gI+v/4ulpsMqAWTYjn/+jEuXnuKDn2WICQ0HGqqytizYSRqVS2aTM+AiIiIiPLmNsC+jaPEbMLjbXfAyycQm3ZdgMvZ+1js0B3NLSuwkYiyevBJQ0MDQ4YNTt3aEFGWFhkZiVC/D3h2ZppY18huhkK1x4vlBxde4uqhe2I5X6kcqN3h709Wrt54gXa9FotkmCoqSti9fgTq1WQXcCIiIqLkJqVH6NSmBszrlMLYadvE7MKfv/qI3udtW1TBPLuuMDbUYcMTZXIKSfkxePzYcSycvwgOM2aLpJoXL1xMndoRUZayZOFiHFzcVD67XalmS6GorAHvL37YO/ek2EdbXwMWfSpDQeHv8jzduPMKbXouRGBQKJSVFbHjv2GwqFMqmZ8JEREREf1MCjBtWTkEO9cOR05jPVG2/8h1VDKfjF0Hroi0C0SURYNPr1+9RsP6jTBm5Fi4OJ/Agf0HxfjdzRu3wvWMa+rVkogyvYcPHuLZpaUw0vQS62bVRojZ7SIjorBzxnEE+4dCyiveaUpjaOj83QQId+6/RevuC0TiSyUlRWxdNQSNLcom8zMhIiIiooS0aFQBN8/MQs9OtcW6NBSv36i1aNtrEdw9PNlwRFkx+DRuzASUK1cWbrevYtuurfLyLl07YfOmLalRPyLKInLqhcOqRoRYVtUrArMao8Xy6S3X8Ob+R7Fcr0tlFKmU/6/u/8Hj92jZdT58/YLFVMAblw1kngEi+iNXLl/FhfMXER4ezpYjIvoHUrLxFY59cGTHOJiaGImyk64PULnBFKzdelaMtiGiLBJ8CgwMxIP7D+AwdxZ0dGKPwS1YqCBePHuRGvUjoiwgKjIML86Mg0K2KGRTUEHFNmugoKiCl7fe48xmN7FPvpK50Khv9b+6/0fPPqB5l3nw9g0Uw/XWLu4Pq2ayJOZEREn15fMXDBs8HBXKVMKo4aNFWoKgoKBkbcDPnz7jwwePJO8vDVP59PGTqFtCpB9x0nYPDw+RTiG5HpuI6F/Vr1UCbqdmYGhfS5EbKiAwBKNttqJxh7l48fozG5goKwSfpJMZ6ZYtnrwqAQGBUFNXT+m6EVEW8eryfPh/fSSWC9edBC3DovDzDMT2GcchDf9X01JF16lNoKik+Mf3/ezlJzTvPA+eXgHipGb1/L7o0KpaCjwLIsrsrNq2xq17N7B81TIxMcu0KbYoX7oi+vUegL2798Hby/uv71sKDLVqbgXzOg3Q1LKZ+Pv40ZNEj3E6fASVy1dF6xZtYGnRGK2bt4G7+4dY+7g4u6BG5Vpo1rgF2rXqgIplKmPr5m3//NhERMlFU0MVc6d3xpmDNihWOLcou3L9Oao3moZFq5wREZFw0JyIMkHwSUtLC/ny58PyJSvibHM+6oyKlTgtJhH9G39/fyyfPQpv3GSfM9lNqiN/pQGIiozCDvvjCPCS9SjoMNES+rl1//j+X775jGadHPHtu59YXz63F7q0q8mXjYj+mrKyMurWqyN6hrvduortu7aiQAFTLFuyHJXKVUHn9l2xacNmfPSQDRdOquGDR0JLUxN3Ht7CnQe3ULZsGQzoOxBhYWHx7i8Fh8aMsMZo61GiHlJQrFjxohjUb7A8aa/0GTti6Ch06NweN+9ex9WblzHRZgKm2UzHy5ev/vqxiYhSQpUKBXHZ2RYTRrYUuTlDQsMxdfZe1Gs5Q6RPIKJMnPPJetxocTLVoklLLFu8DCHBIZg03gZbNm3BoCEDU6+WRJQpOdhNh57/HiA6CgrKmijVdAmyZVPAqU3X8OqOu9indvvyKF2n0B/f95t3X0XgSZrKV7J4Vg/07FQn2Z8DEWVd0iQslSpXgs20ybhw5RyOHHdClWqVsWvHLtSsWhvr125I0v08ffIUt2/dxijrkVBVVYWioiLGjB+DD+4fcPF8/DMMX754GRqaGujavYtYV1JSQv+B/fHo4SPcvnVHlHl+9xQBpLr16sqPq29eTwSnPn/89NePTUSUUlRVlTHV2gqXjk1H+dKmouzuw3eo3dwe9vMPIDSUOfeIMmXwqWnzptiweR2UlVVEd3IpZ4DUNXvXvl0wK2iWerUkokxHStibX+UqjPVkV+iLWcyAuq4Jnl1/hzNbZHmeTIrnRNNBsplQ/sT7D9/RrLMjPD7JhsA42nZBv+71k/kZEBHFVqJkcdETyeX0cZy7dBbVqidtiO+D+w/F37Llfsy+aWKSF8Y5jPHggWzbrzS1NBESEoLg4GB5mbe3bLbQe3fvib+mBUzRrEUzzJszH1evXMOtG7cwfaotqlSrgqrVq/71YxMRpbRSxU3gengKZk7uADVVZTH0znHpEdRoYgu3Wy/5AhBlQEq/28G8gbm4ERElJx/3CzDTeyuW9fKbI0/pTvD9HoCdM2V5ntS1VdHdrhmUlP8sz5PHJy/R4+n9B9lUvQ5TOmJIn4Z88YgoVeU3TfrMnD7ePiLdgYqKSqzy7Nn1Eswj1aiJJRbOW4jhQ0Zi4OD+Ih+nFGRSUVWJdczwkUPF0Lthg4ZDSVkJCtkUsGTFIjF88G8fWxIcFBwr8CXdDxFRcpKG3o0a1ATNG5XHsAmbcOnaMzx7+REN2jhgcO8GmDauDbQ01djoRJkl+ERElNzCgr3w+Li1WFbWMEDZ5ksQFRmNHXbOCPSR/ZjpNLkRsueMPdPm73z+4iMCT2/efxPrtuPbYsSAxnwBiShdkyZTCAuPm18pLDRMDKeLj4GBAQ4eOYCVy1fBYcYcaGpqYNKUCRgxZJQYPieRZrhr17qDSJUwdMQQMenCgX0H0bVjdxw6ehAlS5X4q8eWuBw9iUN7j8Qpd3/9SUwYkZykPIBvn8uGYlPqYbunHbZ9bNIn0Ur7ztjnfAsL1pxEYFAoVm44hcPONzB9dEvUqPjn6RnY9ukP3/eZs+1Ni5jIlxl8IqJU9eTxE4Q+X4jQQNm04CUbzYeqpiGOr72M1/dkU3zX6VgRJWoW/KP7/fLNF007O+LlG9n9Th7dCmOHNU+BZ0BElLxy584lgj2+Pr7Q1ZNNriClOvj+/Tty5c6V4HEm+Uww29FBvi4lOff29kbBQrLUCOfPnRe9kwYM7i8CT5I27axED6kTLidE8OlvH7txc0vUtagdq+eT3SQHmJjlgr6BPpKTdEL888krpQ62e9ph28dvfLH86Nq5HkZO2gKXs/fg8dkHAyZsQY+OtTHLpiOy62my7TMwvu8zf9snmvOJiCg5STnj5k1oha/Pj4r13KU6wrhwYzx1e4uzW6+Lsvwlc6HpwD+bke67lz9adJmH5y9lCXSloNOkUa344hFRhlC5amXRy8j1rKu87Mb1m/D3D0D1GtXlZa9evsbXr7KenTG58362a8du6OnpoZ55PbGuo6uLyMhI+Pj4yvcJDQ1FQIA/dHV1/+ixf6WuoS6CTDE3vex6/9wORES/kyeXPvZuHIkNSwdAP7uWKNuy+yIqWdjAyeUWG5AoHWPPJyJKNdvWLkLrqv5iOZtaDhSzmAmfr/4iz5NEQ0cN3WybiWEgSeXlEyACT4+fyXpNjRrYBNPHtZFf5SciSu+kIXQ9e/fATLtZIveSuro67KbZo3HTRqJ3UoyuHbuhRavmYnY9yaB+g9GydQuRWPyc63msXvUflq5YIo6X1KpdU/SOGjZ4OEaOGg5lFWVsWLcRCoqKaNqsyR89NhFReiGd43VoXR31a5fEuOk7sM/JTfSA7zJgOayaVcZ8+67IYSQLsBNR+sHgExGliqjIcNQp8BD+X4BoZEOVdhuQTVEd2+32Icg3ROzTyaYx9HJoJ/k+fXyD0KrrAjx4LBujLCUWnzG5PQNPRJThTJ46SQxzk4JD0qxOLa1aYsjQwbH2kYbTGRsby9ftZtlh8YLFWL92gwhA7dq7ExUqlpdvlxKJ7z+0F6tX/ocli5chMiISRYoWwaEjB2INqUvKYxMRpTdGBjrYtHwQ2resilE2W/Dpiw8OHruBc5ceY+70zujctgbPCYkySvDpwwcP3HC7Aau2reVl0dHR4uSka7cuUFPn7AJElDSvLs+H/xfZ9N+Fa42DXu4KOLLiAt4++CjK6nephOLVCyS5Of38g2HVYwHuPJDNmNeve31xosEeT0SUUg4fPIzDB52StG8rq5ZoZZX04b+KioroN6CvuCVk++5tsdbz5s2D+YvmJXq/xjmMMc1u6j8/NhFRetXMsjxqVSsKm1l7sGnneXj7BmLAmHXY6+SGpbN7wiSPQVpXkYh+l/Np6qSp0Pt/8skY0g+7kOBgrFi2kg1IRL8VFhYGz/dX8ObaMrGul7cKClQbgfvnnuPCbtnY/AJlcqNRv6TneQoKDkXbnotw485rsd6rUx0snNGNgSciSlHSLHI6ujry28uXr+B69pzIqSRtk/5K61J5zIxzRESU8nR1NLB8bi8c3TkOBfIZibJT5x6gcoMp+G/zGTGRAhGl0+BTSEioSDhZu+6PmUxiNGzUEKdPnUnpuhFRJjBj6mRc3NpV6jcJJVUdlG62HN8++GLPnFNiu5a+xv/zPCkkOfA0xGY7rt58Ida7tquJpXN6QkGB8ycQUcpq3LQxFi9bJG7W461F8u7Dxw7igNM+rFq7UvyV1qXykqVL8eUgIkpl9WqWgNupGRjevxEUFLIhIDAE1lO3oVH7OXj+SjYxDRGljQR/rUVFRYrpeaWx/78KCgpGUFBQSteNiDK4s2dcoe65CxrKspxOxS3nQkE5B7ZMOYLQoDAoKGZDd9tm0DGUzVbyO8EhYejQZylu3pcNtevQuhpWzuvDwBMRpbozp86gQUMLlClbJla5tG7RwBxnT5/lq0JElAY01FUxe2onnDlog+JF8oiyqzdeoHrjaViw4hjCwyP4uhClp+CThoYGzAqaYfPGzbHKZTmfNqBsudgnW0REvyqg645KRWQBbP1CLZGzWCvsm38aX956ibKmA2vDrFzeJDVcSEg4OvdfhnOXH4v11k0rYc3CflBUZI8nIkp90kU4aVhxfKTywMDAVK8TERH9ULl8QVx2tsWkUa2grKyI0NAITJ+7D/VazcC9h+/YVESpLNFfbaOtR2LOrLno06MvVixdgYXzF6F1cyucOnEaQ4cPSb1aElGGE+j1Gq8v2ollVW0TlGs2H5cP3MXd089EWZl6hVGnY4Uk3VdoaDi6DVqB0+cfinWLWsWxcdlAKCkppuAzICJKWMVKFXH4kBNOnpANIY4hrTsdPoJKlSuy+YiI0piKihJsxrTGxWPTUbGsbGKbew/fo04Le9g67hcXN4koHcx217R5U6xep4SVy1aKKXqVlZRRsXJF7D24G0WLFU2lKhJRRhMVGYYHR4cgMjwI2bIpomyrVfjw3B9Hll8Q243yZUf7iZZJShAudY3uOXQVXM7KZspr2qAcZlm3hLJyoh9fREQpqmq1KujVuycG9h0kZpTLkcMYX758xbev3zBgcH9UqVqFrwARUTpRqpgJzh6aghXrT2LG/IMilcP85Udx+PhNrHTsg+qVC6d1FYkyvd/+emvU2FLcUpvdNHtcvnQFEyaNg0VDi1R/fCL6O48ePsa1/SNgov5IrJvVHANFtWLYOn07oiKjoKKujJ4zW0BNQyVJgadew/7D0ZN3xHrDeqWxddUQfHr3mS8PEaW5yVMnoZVVK7ieccWnT59gmSsXzBuYo0TJ4mldNSIi+oWUqmHEgMZoZlkewyZswsWrT/Hi1WdYtpuNgT0tYDuhLduMKAWly64DUjf2mzdu4vmz5/Dz80/r6hBREkk5ThZP74X2Vd3FenaTGshfaTjWjTsMv++y/CftxzdEDlOD396XNNlB/9HrxBUpSf1aJbBjzTCoqirz9SCidKNkqRLiRkREGUNB0xw4tnMcNu+6CJtZu+HnH4zVm07D+fQd2AxrBtMiJmldRaLMH3z6/v076te2gJGhIfYc3C2WEyLtc/bimWSv0Lu37zDL3gE7dm9Dg3qp3+OKiP5eoPcHtKwo65UUlU0TpZuvwMkN1/DqjiwYVattOZSz+P2Q3cjIKAyyXo99Tm5ivU6NYti9fgTU1X7fW4qIKKW8fPkKr16+QsFCBcW6tJwQaZ9C/9+PiIjSFwUFBfTuUheNzMtg1OQtcD59F+8/eGLgxC24eOs1HKZ2hL5e0mZjJqK/CD5pampi7HhrqGuoy5cTIu2T3MLDwzFi6EhYjxsN0wKmyX7/RJRyoqIi8PbCBKgqyRI3Vmy7Bi/vBsB1h6znUv5SudBsSJ0k3E8Uho7fiF0Hr4r1GlWKYO+GUWLaXCKitHTk8BEsWbgUI8eMEOvSckKkfUZbj0rF2hER0Z/KnTO7uMC578h1jJ22DZ5eAdi29xJOnruPhTO6i9mViSgFgk/q6uro2buHfP3n5dQw18EROXPlRMfOHREREZGkY4KDghEcHCxf9/H2ScEaElFCXl9eCJ8Psp5KplWGIEqhLHbN3CnWtbJroLtdcygpK/428DRi0hbxpS+pVrEQ9m8aBU0NBp6IKO1JM/0OGNQfysqy4b/SckJi9iEiovRNmgCnfcuqIsXD0DHrcOzsfXz95idmWm7VpBIWzuiGHMa6aV1Nosyb88nX1w8zbGdg/qJ5f7Ttb7mePYcjTkfhcsr5j45zOXoSh/YeiVPu/voT/DxlOWaSm5Q0+e1z2TAiYltl9fdVWFgYXI8tR4Fsu8W6WvZSiNLpgLXjDiA0OBwKitnQoF9leHt7i1tCoqOjMXPpUew+ckOsly6WB4undYDnx+/wzCRtlRbYVmwrvrdkkiOHh4qKirhJDu4/JP5atW2dYm1MRESpx1BfG3Mnt0OvbvUxcvIWfPzsLXKPXrjyBLOndULXdjWTNFMzEf1h8Ck0NBTnXM/Hvy0kBBfOX0RyOup0DGGhYejYrnOscsfZ83DS5SRWrV0Z73GNm1uirkXtWD2f7CY5wMQsF/QN9JESpB+9TETHtuL7SsZh+iQUxi5AE1BU0UbFduuxe85t+H4JENtbDKuLmi3KJ9pcUuBpvO0OeeCpfGlTHNkxDnq6Gvwf5OdVquFnO9vrT3z58gU+PuxtTUSU2TRpUE6kfZg6ey82bD8Hb99AkYt07+FrWDq7F/KbGKZ1FYmyzmx3jx8/gb5+8gZ2xk2wxoBB/WIlHG5q2Qzde3VDs+ZNE809lRL5p4jo90JCgmEcdgi62WXrJRsvxMX9H/Dk6huxXqlJCdRsU+63gSdpppFVG0+L9dIlTHB4u3WCgSciovSgTNkymDdnvvgM45VwIqLMRVdHA0tn90S7llUxbPxGvH73FWcuPEKVhlNgO6EdBvY0F0nLiegfgk/SjHcN6zUSJ1O+vr4oX6pirO0RkRHw9/OXJ9tMLlKuJ+kmf5z/53zKlSsX8pvmT9bHIqLk8eneBuTLLrvyb1isI759KYozW46KdZNiOdBmjEWiP8qkzxnbufuwdM0JsV6iaB7R44mzixBRepc3bx6Rc7Jvz35o1aYVDH65KJcvfz5xIyKijKtO9WK4dtIesxYewrK1JxAYFIpx07fjwJHrWO7YG0UL5UrrKhJl3OCTNMvdsJFDERgQiDWr14rln0m5DqTpg2vUrJ6a9SSidMb7gxteXpgtlrWNSyJn8fFYMeyAPMF4j5ktoKyaeOdK6Yt8wUpZnreihXLj6M7xYrw9EVF6t3/fATx98lTczp5xjbOds90REWUO0ozLs2w6ok3zyhgybiMePf2AqzdfoHrjaZg0qhVGDWwMZeW/GlBElKXE+S+RZrzr27+PuJqXM3dOdOjYPm0qpqSEE2eOI1duRpOJ0psbV84g8I41oqMjoaisicL1l2L9xBMIEwnGFdDdvhn0jBMPIs1d6oQ5S5zEcmGznDi2cxyMDXVS6RkQEf0baaa7rt27JrhdU5NDh4mIMpOKZc1w8eh0LFh5DI7LjiAsLAJ2jvtx8NgNrJrXB2VLcbQOUWISHKgqBaGkwFNkZCSOHzuOhfMXwWHGbDEV+sULyZtsPCFFixWFjg5/jBKlJ2dPn8GVnT0QFvhFrBdvtACHlj/Ddw/Z8LtWI+rBrGzeRO9j4cpjmDH/oFg2y2+MY7vGI2cOvVSoPRFR8pB6ihsbGyV4k7YTEVHmoqKiJHo7XXa2Q+XyZqLs/qP3qNPCHtPn7EVwSFhaV5Eo3Uo0S9rrV6/RsH4jjBk5Fi7OJ3Bg/0GRWG3zxq1wjaeLORFlblKOputOk1DcJEqsGxTthHuXDPDM7a1Yr9y0JKq3LpPofUjj5afN2SeWTU2M4Lx7PHLn/H/GciIiIiKidE7KU3r6gA3mTOsEdTUVMVmWlEqiRuPpuHL9eVpXjyhdSnRw6rgxE1CuXFkcOnoAISGhYvY5SZeunbB50xbUt6ifWvUkonTg+5uzqJDXXSxn0ywERe3+OLtAlizcpHhOWI02TzTBuDSj3aQZu2T75zEQPZ7y5jZIpdoTESWfwwcP4/BB2dDhX0kX6nT19FCtelVYtW0tUgkQEVHmoqiogGH9GqFZw/IYNmETzl95ghevP8Oy3WwM6GkOuwntoK3FWdmJftvzKTAwEA/uP4DD3Flxhr5JCcdfPHuR0KFElAkF+33Aw6PDxbKyenYUrLkKe+acEeta+hro+ZsE4/9tPiNmB5FIPZ2cd41HfhPDVKo9EVHyUlVVxcuXr3DO9Tx8ff3EuvRXWn/+/AU+f/oEm0lTMGyw7HOTiIgypwL5jXF05zgsn9sLOtqyYNOazWdRpeFUnDr3IK2rR5T+g0/S8Brplk0hbi+GgIBAqKkzikuUVXzy+IB7hwcgPMRb6vOEAjUXYefMawgPiYCikgJ62DeHrpFWooEn66nbxHJOYz0x1E76oiYiyqhKli6F8LBwHHU5gv2H92LV2pXir9Pxw6J8zvw5cDnljEsXLuPmjZtpXV0iIkpBUs//Xp3r4uaZWWjWsJwoc/fwhFWPhRgwei08vQPY/pTlJRh80tLSQr78+bB8yYo425yPOqNipQpZvvGIsgIp99vKyXXg9+mOWM9XaRSOrPWGz1d/sd52bAMUKJMnyYGn43smoFCBnKlUeyKilHHm1BlYNDRHiZLFY5WXKlUS5g3q4+zpszAraIYmzRrjyaMnfBmIiLIAqXf/rnUjsHnFYBgayGZ+3rH/CipZ2IhZ8aTOHURZVaIJx63HjcayJcvRoklLLFu8DCHBIZg03gZbNm3BoCEDU6+WRJRmNi0agtolg8WyUvZyuHOlNN4/+iTW63SsKJKM/0ngqbAZA09ElPEFBQUhLCz+WY2kcil9gURbWxvR4I8NIqKs1AuqbYsquHXWAZ2sqouyb9/90H3wSnQZuByfv8hmiCbKahINPjVt3hQbNq+DsrIK9u7eh6ioKHh4eGDXvl3iah4RZW4B35+hjplsxo6IbNqIUp6I2yefivVi1Qqg2aBaCR7LwBMRZWblK5TH4UNOcD17Lla51OPJ6fARVKgo6yF+4/oNVKpcOY1qSUREacUguxbWLRmA/ZtGIU8u2czOR1xui15QW/dcZC8oynJ+O/2KeQNzcSOirCU8xBd3D/ZBVEQwsikowaDQEuxfdFtsy2Gqj67Tm0BBMf749ZotZ+PkeGKPJyLKTKrXqIau3bqgT4++yJEjB4xzGOHrl2/48uULevftJWa6e/H8BZo0axJnaB4REWUdjczL4sbpWZg2Zy/WbXWFj18QBo/dgD2HrmHZnF4wzWeU1lUkShWc+5eI4ggMDMAzl+EI8n4t1g2KTcOBZa8gDVPX0FFDr9mtoKapmmDgacyUrbECT0UK5mIrE1GmM81uKtq0s4LrmXP4/PkzcubMifoW9VCqdCmxvXCRwuJGRERZmzQL3uJZPdCuZVUMG78RL998geulx6jScApsJ7TDwJ4WUEzgoi5Rlgk+vX3zFvfu3Ye/nyy5cAx1dXW0bd8mJetGRGng27dvWDS2LuqVlGa2A/TNOsFliwJCg8NFT6ceM5rDMI9evMcy8EREWY0UaIoJNiXk69dv4q+xMa9uExFlZbWqFsXVE/ZwWHgIS9a4ICg4DONtd2D/ETescOyDYoVzp3UVidIm+LRty3ZMn2Irkqapa6jH2mZkaMjgE1EmtGJmf3ngCWoF4eZaFd6fZQnGrUbXR8HyJvEet3brjx5POYx02eOJiOj/tm/dLv6Oth7FNiEiyuLU1VQwY3IHWDWrjCHjN+LhE3e43XqFGk2mY+LIlhg9qAmUlTlAiTKfRN/VjnPmiS7l3Xp0haKiYurViojSRKDXK9QyfYiocCAsSg3+vtZ4++Ct2FazbTlUa1kmwcDTaJsfgSdpVjsOtSMiIiIiil+FsgVw8eg0LFzljLlLjyAsLAL28w7gwNEbWDWvD8qXMWXTUaaS4MDSgIAARIRHoGfvHgw8EWUBEaEBsgTj4YFANgVAaw5un5IFngpXyocWQ+vGexwDT0REREREf07q4TRhREtcdrZFlQoFRZnUE6peqxmYNnsvgkPC2KyU+Xs+aWlpQUNDHYGBgdDU1EzdWhFRqgoPD8ej46MQ6PlcrCvoTcb5rR/FslG+7Ohm1wyKSnFj1dKMHT/3eHLezR5PRER/y8/PD9euuiEyIgKVq1aGoaHhb49xd/+Ax48eQ0FBAVWrVYGOjo582/fv30Uy9PhUr1kdefPmEcvOR50RGBgUa3vRYkVQpmz8vV2JiCh5FS+SB6f2T8bqTadh57hf5IKSekQ5udzCcsfeIlcUUUaXaEr9bj27wXaqHUKCQ1KvRkSUqny8fWA7qAq+Pj8m1hV1OuHM7kixrKmnjr6OraGhrRZv4GmUzZZYgaeihTirHRHR37h14xbqVK+HlctWYcumbWLZxdkl0WPmOMyFZf1G2Lt7Hzas3SiOcbt2Xb5dmixGCmb9fNu+dQfGjRkPby8v+X6zZszGrh27Y+337u17vpBERKlImu1uaF9LXD81E/VrlRBl0qx4jdvPEefcfv7BfD0oc/Z88vT0FCco375+w8H9h+JcfTMwNMCxE0dSo45ElIIW2fZG7SKfxXJIdAncdi6CiLAQKKkoopdDSxjk1ks08GRspMPAExHRP4iKisLokdZo3LQR5sybLcqWLFqKcdYTUKNWjVi9mWJcuXQFq1f8h32H9qBS5UqibO3qdRg1bDTOX3GFiooKCpgVwILF82IdN6DvIBQvURyly5SOVd6+Yzt06tKRryMRURozzWcEp+1jsXXPRUyasQu+fsHi3NvlzD0sceiBRuZl07qKRMkbfFJXV0fvvr0SPJBD8YgyvgDP56iV/z6iI4CgUG08e9IJgT4BYlsnm8YwLRV3utc1W37MaicFno7vnsgeT0RE/+DOrTt4/+491m74T17Wo2d3LF20DK5nz6FV65Zxjrl37z4MDAzkgSeJZeOGmDXDAVcuX0W9+nHz9H379g1nT5/FNLspcba9fPESToePIHfuXChVujTU1FT5mhIRpRFptvkeHeugYd3SGD11G46euI0PH73QttdidLKqjjnTO8NQX5uvD2WO4JOGhgaGDBucurUholQTHuyNO/t7IjoiCFHRynjvPg7fP8gCT00H1kLZ+kXiHLNi3UlMsN8plhl4IiKKX0hIqPgbE8Ap80svo189e/Zc/NAoVLiQvCy7fnYYGxvj+VNZLr5fSUEiHx8ffP3yFcY5jEXZ8+cvZPf39Fm8wacD+w5CSUkJraxax9l24fxFeHzwwMOHj8T6spVLUa58wlfXg4OCERwcHGsINxERJa9cObNj55phOOR8E2OmbsO3737YdfAqTl94CEfbLmjfsqr4/iDK0MEnIsq8wsNCcM9pIIJ93iI6Gvj4bTzcn8oCT1Wal0K9Lj+upMdYvPo4pjjsEcu5cujh2K7xKFKQOZ6IKOtYuXyV+PvzxbnDBw+Lv62sWsnLVq2Q7TfaepT4a9HQItH79ff3h5aWZpzZhXX1dMW2+DRu2hj/rVqLLh27oXPXTggMCMShg4fFhDEB/rLP81/t2bUXTZs3ha5u7GF88xbMFcP7YiagGDl0FIYPGYEz50+J4XvxcTl6Eof2xk2/4P76E/w8A5GcoiKj8Pa5e7LeJ7Hd0zO+59n2vypfOCcO/jcE8/5zweGTd/Hd0x99hv+HzdtdMXVkC+Q00kVGx/d95mx70yIm8QefpFlR6te2gJGhIfYc3C2WEyLtc/bimRSpIBGlnC+fv2CDvTkqmsqSzXoFDMKT6+FiuXClfGgzxjzOFRTHZUdgP++AWM6bW18Engqa5uDLRERZSmiorEfTz16/fvPP96umpobg4BBER0fH+vyVZhyWtsVHVVUVB4/sx/69B0RPJw1NDWzaugFNLZtDUyvuLMU3b9zEq5evMGeeQ5xtMYEnibKyMgYPG4QWTVrhxfOXKFlKlvT2V42bW6KuRe1YPZ/sJjnAxCwX9A30kZykE+KfT14pdbDd0w7bnm2fkO2Vi+L0+QcYPnEz3D08cf7ac9x+uAIzJnVAn651xcynGRXf95m/7ZV+zeM0drw11DXU5csJkfYhooxF+mGzbFpb1CkkCzx5+jXG7QuyK+A5Chigu31zKCopxtp/1sJDmLPESaznNzHEsZ3jRSJEIiJKHvny50NERAQ+f/qMXLlzyQNd0qQv0raESAGoLt06y9elIFRAQEC8AaPdO/egYKGCqFyl8m/rI+X9lPh4eye8j4Y6zwWJiNJAg7qlceP0TNg57sfqTWfgHxAiJgLa6+SG5XN7obBZTr4ulC4p/Xqy0bN3D/n6z8tElPF5u19FncJvgWjgq2cRPLxZTupoCS19DfSd2xrqWqqxAk+2c/dhwUpnsW6W31j0eDLJY5CGz4CIKPOpWq2KGC531OkY+g/qJ8pOupwSQ+DqmdeT73fsiDNM8uVFmbJlxPrXr99gbPzjYoA0+52ZWQHUqPmjJ5NECkhJx44ZKxsG+Guvd21tbRHIkj/OUWeoqKqgZKmSKfJ8iYjo32hpqmGeXVe0a1kVQ8ZtxLOXH3HZ7RmqNZqKyaNaY8SARlBWZoYdSl8SfEdKJyp+vn7InSfubFeSkydOwbJRw5SsGxEloyCfd7h3uB8QHYmgoLx4dr8dIsMjoKyqhD6zWyF7Tp1YgafJM3dj2doTYl26giIFnnLnzM7XhIgomUmTvEyaMhF20+zh6eUpLgauW7MeAwcPQN68eeT7zbCdiRatmsuDT+PGjEehQgVhWsAU513P4/atO9iyc3Oc3FFHDh8VPavatG8T57Hfv3PHpPGTYNHAAjlz5cCdW3dF8GnK9MnQy67H15qIKB2rWrEQrhy3hePyo1iw4hhCQyMwfe4+HDh2HSsd+6BsqfxpXUWi3wefgoKC0adnX+w9uEdcEfuZdGVupt0sBp+IMojQIB/cPdBLzHAXEqyN+3d6ICQwAtkUsqHr9KYwKZ4zVuBp7PTt+G+TLKdbscK5xVC7HMYZP5EhEdG/unbVDYsWLI61Lvm1rFr1qn90v127dxGz3bk4uyAoMAiLlixEA8vYuTebtWgqDzxJ/lu3Gnt27cbTJ0/F4zkunAt9/bj5lqTcUdbjx8S7rULF8ti8bRMOH3ISOZ4KFy0Ml1HOMCto9kf1JyKitKGqqoyp1lawaloJQ8dvxK17b3Dv4XvUaWGPUQMbY+KoVlBXi3/yCKJ0EXwyMNCHkZERhgwcho1b1oupeSWuZ89hzEhrzJxtn5r1JKK/9OzJY7iubwkz40CEh6vi0aPB8PeOENvaWlugZK2C8n2joqIwymYrNmw/J9ZLFsuLIzvGwdgw9sxIRERZkZTI9eb1m+L2q1/LatSs/lfD76RbQqbaTom1rqamih69fp8iod+Avoluz5krp+hlRUREGVep4iY4e2gKVm44JSYKCg4JE+kzDh+/heWOvVGratG0riJlcQmmw5e6bK9cs0LMjDV18jRRdt3tOgb3H4Lxk8ahQ6cOqVlPIvoL0uxJ+5e0EYGnyEhFPHrYD16fZdsa9qqGqi1Ky/eNjIwSV0tiAk9lSuYTQ+0YeCIikhk5egRevX+RpJu0LxERUWpSVFTA8P6N4HZyBurWKC7KXr75gsbt52Dk5C3w8w/mC0JpJtG5GKXhdhu2rMfpU2dgM3EK+vbshwGD+//2ChoRpQ9fHm5CJTNfREdnw/37HfHNQzb9dtUWpdCwdzX5fhERkRg4Zh227rkk1iuUMcXRneNgqB97yC0REREREaVvZqbG4lx+hWNv6OrIZjBdv80VlRvY4Pjpu2ldPcqiEg0+SaREl+s2rsGBfQfRtkM7jBk7OnVqRkT/5MtzZzx3tUd0NPDyRSt898grykvUMIPVaAtky5ZNrIeHR6DfqLXYdfCqWK9SoaAYaqevp8VXgIiIiIgoA5LO9Xt2qoObp2ehReMKoszjkzfa91mC3sNX45unX1pXkbJyzidPT080s2wR745R0VE4fuw4XI65iHUDQwMcO3EkdWpJRH/k69treHB0qJQ+HO7v6+Ht8yKiPF/JXOhq2xSKSrK4c0hIOHoOXYljp2RXQKpXLoz9m0ZDR1t2hYSIiIiIiDKuXDmzY+ea4TjkfBNjpm7F129+2HvYDWcuPMI82y7o0Lqa/KI0UaoFn6SpfXv07p6kAzU1ZcN3iCh92b15JZTeOUBbLRKfPpbBswey5LVGJtnRZ3YrqKgpi/XAoFB06rcUrpcei/U6NYphz/qR0NJUS9P6ExERERFR8mrdtJI437eZuVuk2vDyDkDfkWuw+9BVLHHoCZM8BmxySr3gk4aGBoYMG5yyj0hEKeb5k/sIejwLeQyi8P2rKR7fbSzKtfU10G++FTT1ZD2afP2C0K7XYly9+UKsNzYvi22rh0Lt/4EpIiIiIiLKXKS0Gqvm90X7ltUwfNImvHP/jpOuD1C5wRTYTWyH/t3ri5ldiVIC31lEmURUZDj8HziIwJOPd27cv90eUVGAqoYK+s6zgn4uXbHfdy9/NOvkKA88tWleGTvWDGPgiYiIiIgoCzCvUxLXT83E0L6WYshdQGAIrKduQ6P2c/Ds5ae0rh5lUgw+EWUC0dHReHxiHDzfnoe/nxHu3uyMyIhsUFRWRM9ZLZCnsLHY7/MXHzHV6t2H78R69w61sHHZIKioxOoESUREREREmZimhirmTu+MMwdtULxIHlF29cYLVG88DfOWHxWTEhElJwafiDK4wMBAPDk7Ax8f7kZQoB7u3uyK8FBFZFPIhq7TmqBwxXxiv/cfvsOy3Ww8ffFRrA/q1UBMv6qoyI8BIiIiIqKsSJrp+rKzLSaPbgVlZUWEhUXAznE/6rSwx537b9O6epSJ8FcnUQYWHh6OhZNa4MOtVQgJ0cKdG10REqQitrUb1wCl6xYWyy9ef0bDtg54/e6rWB87rDnm2XXhmG4iIiIioixOGgUxeXRrXHa2Q+XyZqLswWN31G1pjymz9iAoODStq0iZAINPRBmY0+bpqJznCcLD1HDLrSOCAmSzUDYfWgdVmpUSyw+fuKNR+9nw+OQt1m3HtxU3TqlKREREREQxShTNg9MHbDB3WmdoqKsgKioai/87juqNpuHC1adsKPonDD4RZVDeH9yg67sDUZHKuOXWDkH+sulRLbpXQd2OFcXyzbuv0aTDXHz95ifW59t3Fb2eiIiIiIiIfiWl5Bjaz1IkJK9fq4Qoe/X2K5p2nIvhEzeJWbOJ/gaDT0QZUMD3Z7izvyciwiJw/1Zb+PvmFuXVW5dBo341xPLFa0/RvPM8ePsGQkEhG1bN7yPyPBERERERESXGNJ8RnLaPxeoFfaGnoyHKNu44j0oWNjh28g4bj/4Yg09EGczNK6dwa09nhAX74cGdFvD8JksoXq5BUbQeZS6G0zmfugur7gvFtKlKSorYtHwwuneondZVJyIiIiKiDEL6XdGtfS3cOuuA1k0ribJPX3zQsd9S9BiyEl+++aZ1FSkDYfCJKAO5duksHh7uhRD/z3h0txm+fi4iyotVK4BOkxuJHk479l1G5wHLEBIaDjVVZexaOxxtmldO66oTEREREVEGlMNYF9tWD8WONcOQw0hXlB04egOVLWzEb4/o6Oi0riJlAAw+EWUQEWFBeHNmOHLpR+Hx/Ub4/FE2Brtg+bzobt8MikqKWL7uBAaMWYfIyCjoaKvj8LaxaGxRNq2rTkREREREGVzLxhVx88ws9OwkG1Hh5RMofntY9ViI9x++p3X1KJ1j8IkoA4iKCMW9Q32gr+aFpw8b4KN7GVGev1Qu9J7dCsqqSrB13I+J9rtEubGRDlz2TETNqrKeUURERERERP8qu54mVjj2wZEd41Agn5EoO33+ISo3mIJVG0+Li+BE8WHwiSidi46KxINjw/D9zXm8eFIPH95VEOV5i+VAX0crKKkqYeTkLZi//KgoNzUxwun9NihTUpYLioiIiIiIKDlJM+G5nZqBEQNkqT8Cg0Ixbvp2WLZzwJPnHmxsioPBJ6J0zMvTCweWtMKXZ0fx6nktvHtdRZTnKmiI/vPbQEFZAb2GrcaG7edEeclieXH6wGSYmRqncc2JiIiIiCgz01BXhcOUTnA9PEX8DpG43XqFmk1tMWeJE8LCItK6ipSOMPhElE75+/tjrW0DaIffwusX1fDmRQ1RbpxfHwMWtkWUItC+zxIcPHZDlFerWEgMtcuZQy+Na05ERERERFlFxbJmuHh0OqZYW0FFRUkEnWYuOIjaze1w697rtK4epRMMPhGlU++uL0N5k09497oSXj2rI8oM8uhiwKK2CEUUmneeh7MXH4lyy/qlcXj7WDEGm4iIiIiIKDVJQaeJI1visrMtqlYsKMoePf2A+q1mYvLMXQgKDuULksUx+ESUDr2/vQEfby0Tgafnj81FWfacOhi4uB38w0Jh2XY2bt6VXUXo0Loadq8bAU0N1TSuNRERERERZWXFi+TByX2TMc+uq/h9EhUVjaVrTqBqw6k4d/lxWleP0hCDT0TpzMeHe/D0tA3evqosDzzpGmmJHk8e3r4wbz0Lz15+FOUDe1lg3eL+UFZWSuNaExERERERAYqKChjcuwFunJ6JBnVLiSZ58/6bGLkxdPwG+PgGsZmyIAafiNKJ6OhoLLPtigfOo0Tg6cWT+qJcz1gbg5a2x+P3n0WPp4+fvUW5NKZ6vl1XKCjw35iIiIiIiNKXfHkNcXDLGKxd1B/6/08PsnnXRVSysIGTy620rh6lMv5qJUonju6YisJqZ/EuTuCpHc7deobW3RfAzz9YXElYNb+PGFOdLVu2tK42ERERERFRvKTfK53b1sCNM7PQtoVs5u7PX33QZcBydBu0Al+++rLlsggGn4jSgS/PnVFU8zTev66CF0/qiTK9HLLA005nN/QatlrMGqGhroK9G0aie4faaV1lIiIiIiKiJMlhpIvNKwaLXLW5/j879yHnm6IX1La9l8QoEMrcGHwiSmPfXp7CfadBePOyEl48/RF4GrioLeavd8FE+12izNBAG8f3TIBl/TJpXGMiIiIiIqI/18yyPG6emYXeXeqKdW/fQAyyXo8BE7fg7ftvbNJMjMEnojT08MpO3D3cD6+fl8fL/weepFnt+syzwtg5u7Fs7QlRZpbfGGcO2qBiWTO+XkRERERElGHp6mhg2ZxecN49AQVNjUXZ1VuvUKXhFKxYdxKRkVFpXUVKAQw+EaWR9Qut8dZ1DF4+rhwr8NRlVjP0nbgO+5zcRFmFMqY4fdAGBU1z8LUiIiIiIqJMoU71Yrh2cgZGD2oCBYVsCAoOwwT7nWjQZhYeP/NI6+pRMmPwiSgNvLjtBOPgHXj7oh5ev6gpynQMNdHapgE6Dl2BC1eeijLL+qXFFQFjQx2+TkRERERElKmoq6lgxuQO2Ll8IEqXMBFlN+68Rs2m0+Gw6JDIe0uZA4NPRKnM8+15vHUdiddPG+Lda9mMD8b59FGqY3G07r8Ej55+EGU9OtYWCfm0NNX4GhERERERUaZVskhuXDgyDdPHt4WqqhLCwyPhsOgwaja1xY07r9K6epQMlJCO3Lp5G9s2b8OTJ0+go6MDi4YW6NWnJ1RVVdO6akTJ4turM7hzoB8e3jbHJ49SoixXQUMUbFMM/ceuE11NJeNHtMBUaysxNSkREWUNd27fxckTJxEZEYk6dWujVp1aie4fFRWF48dc8ODBAyhkU4BlY0uUK19Wvv3d23f4b9WaeI/t0r0LSpUq+dePTURElNyUlZUwblhztGxcEcPGb8TVmy/w5LkHzFvPwpA+DTFtXBtoajA2kFGlm55PD+4/wCx7B9StXweLly3CgEEDsGXjFoy3npDWVSP6Z9LUoZuXjMKtfX1w70YjeeDJpHhOqFY3Rvfhq0TgSUlJEavm98G0sW0YeCIiykL27t6Hjm07ISQ4BEpKShjYbzAWL1yS4P4RERHo2rE75s52hLa2tijr0bUndmzbKd9HXUMDJUqWiHXz8vLCzu27oKuj89ePTURElJKKFsqFE/smYuHM7mIUiPRbasX6kyIhuevFR2z8DCrd9HwqXqI4Djjtk68XK14MgYEBGD3CGrPmzISWllaa1o/oX6ybNwi5wpxx724rfP9aUJSZlsmNt/oRWDVzl1jX1lTDznXDUa9mCTY2EVEWIgV9ZtjNxCjrkRgybLAoK1ykMMaNGY8OHdsjd57ccY5xcT4Bt2tuuHjtPPLkySPKSpcpBetR49CsRTPo6urA2NgI3Xp0jXXcoQOHUKt2TZjkM/nrxyYiIkppCgoKGNDDHE0symLk5M046foA79y/o0XX+ejeoRYcpnRCdj1NvhAZSLrp+SRdafuVNMWiNOxIeuMRZVSfHh9A7vATuH+rrTzwlL9CHpwP/IRVm07L1k0MsW1pfwaeiIiyIDe36/Dz9UMrq5bysibNmkBRSRHnXM/He8z79++RPXt2eeBJIvVsCgoKwqULl+I95uXLV7h54xY6den0T49NRESUWkzyGGD/ptFYv2QA9LPLOqRs3XMJFS0m45DzTb4QGUi6jepIJ08rlq0UeZ80NDQS3C84KBhenl7ym4+3T6rWkygxHg9249b+8bh1rSO8PfOLsrwV82DX88dwPnNPrFepUBCuh6eiYH4jNiYRURb09s1bcREud+4fvYzU1FRhZGQk8jbFp3jxYvD09BRpC2KcPycLFr198ybeY/bs3AMDAwM0bNTgnx5bwvMvIiJKLVKHlI5W1XHr7Cy0b1VVlH395odug1ag84Bl+PyFMYCMIN0Mu/tZeHg4hg8egbCwMDjMnZnovi5HT+LQ3iNxyt1ff4KfZ2CK1C8qMgpvn7unyH1nNlm1raQksF+e7sDXu5tx61oXBAdlF+U6xfWw/OIVfPrqK9Yb1SmJWRPaIMjLN8u21d9gW7Gt+L5Kexnt/9C0iGyYWXoUEhICdQ31OLn+pJQDwcHB8R5T36I+2nVoi45tO8O8gTkCAwJEMErqDRUSEhrvudWB/QfRtn0bqKio/NNjp/b5V0Z7r2UWbHe2fVbE9336b/vpw5uhbuVCmLH4CL5898MRl9s4d/Exxg5qhDaNKzBvbjp73/98/pXugk9SAs0RQ0bi6dNn2L1/FwwNDRPdv3FzS9S1qC1fl3o+2U1ygIlZLugb6KdIHaUXJj2fxKYnWbGtpBP8/2xbIFe2j7jt1hVhobLuoVoVjLDy5GX4B4SIdeshTcVUojHDSrNiW/0tthXbiu+rtMf/w+QjBXoC/APEhYufUw34+fommvNy/qJ56Nu/D549fQYNTU3UqFkdFcpUQnZ92QWPn505fRbfv31Hx84dk+WxU/P8i++1tMF2Tztse7Z9VvQn7/teRUzQxqomps3Zi3VbXeEfGILpCw7j7NXnWDanF8xMjVO8vpnJ21T6HaqU3gJPI4eOwv37D7Br307kzfsjj0FCpKt10o0oPZBmYnDdNhBGEZ64eaMzIiJkszOEltDC6oNnxbI0o92imd3Ru0vdtK4uERGlA0WKFhbfD69evhLJviW+Pr74+vWb2Pa7CVukm+TaVTeEhYahcpVK8Q65q1KtCgoWMkuWx+b5FxERpSUdbXUsntUD7VpWxbDxG/HyzRecv/IEVS2nYupYKwztawlFxXSbZShLSjevRmRkJEYNH4O7d++JwJOJSd60rhLRH4mKisBjF2t8e/gct93ai8BTZHQUXuWMxMbjV8XJvb6eJg5vs2bgiYiI5CpUrIA8efNgy6at8rJtW7dDTU0N9c3ry8vmznbE8WPH5etu167Ll6VZ6+bNmY+atWqgdJnSsVr3y+cvOH/uAjr/lGj8Tx+biIgoPapVtSiunrAXo0qkYFNwSBgmz9wN89Yz8fAph2ynJ+mm59PlS1dw1OkodPV00ald51jbNm3dIL8aR5QeRUWE4v7RIbh75j0e37dCdLQCQhWicF3BGw/dPMQ+xQrnxp71I9kNlIiIYlFUVBRD6Ab0GYDnz19AXV0N1664wXHhXHFeFOPgvkOICI8Qs9FJDh04jLkOjjAtYAq3q9eQI2dOLFmxOE7r7tuzD1raWvLj/uaxiYiI0it1NRXYTWyPNs2rYMj4Dbj38D1u3XuDWk3tYD20GcYPaw5VVeW0rmaWl26CT1WqVMbFaxfi3ZYjB8dsUvr17s1zXNzcHgEfCuLV86aizFchHGf8PEQSPElj87LYsGyg6B5KRET0q+o1quH8lXO4dPEyIiMiMXuuA3LlzhVrnwmTxyO/qWzmVMlsx1litrtnT5+ja7fOqFAp/kSrRYoVxdIVS8Qsdn/72EREROld2VL5cd5pGpaucYHDosMICQ3H3CVOOHTsJlY49kK1SuzQkpbSTfBJTV2NQ+0ow/F4+wynVzaB38e6+OheRlaWLRgnPd6KDzvJqIFNYDexHcccExFRovT19dGyVYsEt1u1bR2nTBpi9+swu181tGzwz49NKUfKseXr6wuTfCaJztIUGBiID+4f5OtFixXly0JE9Aspv+6YIc3QonFFDJuwCZfdnuHZy49o2HY2Bva0gO2EttDSVGO7ZeWcT0QZTbCvO547D8LXV81F4EnK6fQEfnB680IEnlRUlLBmYT/MtOnAwBMRERHFMcveAVUqVoNVi7awqNsQ79+9T7CVnjx+guFDRmJg30FoZBF3CCUREf1Q2Cwnju8ejyUOPaCtJZsEavWm06jcYApOnXvApkoDDD4R/QW/z/dwbk17XDhWDV7fCyA0KhIXw77g3Nu3YruxkQ6O756ALu1qsn2JiIgyGKk30rOnz/D82XP4+cmG0Cc317PnsHf3Ppw+dwq37t9AlaqVYTNpaoL7V6pcCSfPuuC/9auTdP/fv3/H1y9fxfKnj58QHByc4PaPHh9Fz6oY0rp/gP9fPjMiovRBQUEBfbvVx80zs9DEoqwoc/fwhFWPheg3cg2+e/FzLksOuyPKKE7smYfAh3tx+2pzhIZqwyssBOcCP+GLr+zDq2ypfNi9bgTy5jZI66oSERHRX7h65SoWzl8srpRLgRiLhuZYtHShSNCeXFycXUQS+JgZnvsP7I+G9S3h6+sHXV2df77/rZu34fatO2K2w6CgIHh+98TCJfPlieel7W5Xr+PL588ICw+Hj7cPFi1biI3rNuH9+/f49vUb7GfZoVOXjv9cFyKitJQnlz72bBiJfUeuY9z07fju6Y9dB6/i1PkHmGfXFe1bVk102DMlDwafiJIoKioK6+f0gLrnKzy83RaRkSp4FeiLC74fERImy+/UpW0NLJndU8y4QERERLFFhAYg4PvTP2qWYK8v8PH4kmxNqWVYDEqqWonu07hpY3GTBAQEoHvnnmJW5lZWreLs6+/vLwJUCclvahpvsvc3b96iYcMf+bgKmJmKv+/fvfttHq+kenj/IZycD4l8Uvv3HsC8uQtizXoo9e464uKEvHnzYP7cBRjUbzDWb1qL+hb1sW/nQTg4zGLwiYgyBSm4JAWZzGuXxCT7ndix/wo8vQLQZ/h/2HPwGhY7dGfngRTG4BNREkhXPl9cmAOFD564/6gdIqOy4YbPJ9z2/Sb7R1JSxJxpnUQSO0bNiYiI4icFnq5v//PE5u7J2KBVuh6BXp5Kv90vMjJSDEuTgkvSkLhbN2/HG3y6e+cuZtjOSvB+Vq1ZiYKFzOKUh4aGigl3fh4eoqqqipCQECQX8wbmIvAkqV2nFiaMnRhnuxR4klSrXhUHDxwSgSdJuXLl4OXlJYYd6uj8e08sIqL0wCC7FtYs6o8OrathxKTNeP/BEy5n76GSxTMxSVT/7vXF5zElPwafiH4jKjIMD45Z49xeX3x4Z4mQyAic8XLH+0B/eX6nrSuHombVImxLIiKiTODihYsYO3q8uPikq6srAjCVKlWMd99y5cth2colCd5Xnv8Hd34l7tfXN1YwSsrLJJUnF01NDfmykrISIiIiEtyuqKQETU3NH/sryn4m/HoMEVFm0KBuaVw/NRMz5h/Eyg2nEBAYAuup27D30DUsd+yNYoVzp3UVMx0Gn4gS8fH9C7w+MwUXnHLD27M8voUG45TXe/iGhortVSoUxLbVQ5E7Z3a2IxERURKGvEk9j/7EJ/cvyGWSI1nr8DvSELRxE8aiXYe2Yn3hvEV48fxFvPv+bc+nUqVKit5UMW5evwktLS2YFjCVD/f7/PkLChUqmKTnRUREf0ZLUw1zp3dGu5ZVMGTcRjx57oFrt16iRpPpGD+8BcYMbipmMKfkwZYkSoDb+UN4dHga3j5ujeCg7Hjq74WL3h8RERUltkszJzhO7wxVVWW2IRERUVJOPFW1kjTk7Wc+ge7QyyMbOpZapB5AUmCoSNHCePb0ObZs2orqNarFu2/tOrXFLHR/qmPnDmjSsBnWrVmPEiWKw952Brp27wIVFVneyMuXrmDi2Em48/CWvAfSq5ev8PbtO3m+JikBeqHChf7puRIRZXWVyxfEZWdbLFh5DI7LjiAsLAIzFxzEgaPXscKxt9hO/46DGYni8e31WTw9uADP73aBX4Auzn53h6vnBxF4kqLfK+f1xhKHHgw8ERERZUKz5syEt7cXptnYihnjRo4Zgdx5kncIRn7T/Ni4dQMuXriEOQ5zYdnIEmMnWMu3a2tpoVDhHz94vL29MXzISCxwXIgiRYuI5fHWsXM4/czQwAA5chjL1xUVlcRxCW3X0FCX97qKIe0vHUdElNlJv/EmjWqFK8ftULWi7LP38TMPmLeehQl2OxEYJBv5Qn+P3yZEP5FyO7y7uRYn1x/Di8dW8A4LxclvL+AVLvuwyW9iiC0rB6Ni2bjd54mIiChzKGBWAKvXrkrxx6larYq4xadGrRriFsPIyOiPelh179U91rqurk6s43/dXrZcWaxZvzpW2d/06CIiysiKF8mDU/snY82Ws7Cdu1/kglqx/iSOnryNpbN7wqJOqbSuYobFnk9E/xcU4Id7R8Zh/4IbePG4Hp4H+GDfp5fywFNzy/K4dMyWgSciIiIiIqJMSprtblCvBrhxeiYs65cWZe/cv6NVtwUYMHotPL0D0rqKGRKDT0QA3rx8iM029XH4PxV8+FAM575/wJnv7oiIjoKSkiLmTOuEnWuHI7vej1lgiIiIiIiIKHMyyWOA/ZtGY8PSATDQ1xJlO/ZfQSULG+xzchOjZijpGHyiLM/vywOcWToC7x+0wwcvHRz49BJPArzkHzgn903CsH6NkC1btizfVkRERERERFmF9BuwQ+vquHXWAZ2sqouyb9/90GvYanTsuxQen2S/G+n3GHyiLO3D/d3YbuOAZ3db4IlPMPZ9fAHP8BCxrYlFWVw+bosqFTi7ARERERERUVZlqK+NdUsG4MDm0aKDgsT59F3RC2rt1rOI+v+M6JQwBp8oSwoJDsBdp8nYZncJT59WxJlv7jj93R3h0VFQVFTAjEntsXv9COjrybpXEhERERERUdZmWb8Mrp+aIXJCSb2i/ANCMNpmKxq1n4NnLz+ldfXSNQafKMt5/tANG8Y1xP4Vynj8ISf2fnyB54HeYlve3Po4vnsCRg9uKhLNEREREREREcXQ1lLHfPuuOH1gMooWyi3Krt54geqNp8Fx2RGEh0ewseLBX9eUpXx/dwWnFs/C6/ttcPlTKA5+egm/iDCxzapZZVx1sUeNKkXSuppERERERESUjlWtWAhXjtti0qhWUFZWRFhYBOznHUCtZna4de91Wlcv3WHwibKE6OgoPD69GBvGbsfDxzVx+NM7XPf5Aml+Ak0NVaya3wdbVg7mbHZERERERESUJKqqyrAZ0xqXne3kuYIfPf2A+q1mYtKMXQgMCmVL/h+DT5TpeX19hxNLBmCHoy+uvTbEno8v8Ck0UGyrUMZUJBXv3qE2Z7MjIiKiVBcaGgofb58k7x8UFISwMFmv7fiEh4fD19fvj48PCQnFp4+f5Lev374iJFg2CQsRESWuRNE8OLV/Mhxtu4jODVFR0Vi29gSqNpwK14uP2HwMPlFmd2LfUmwdPxrO+wrjmLsPTn57j9CoSBFoGjO4KU4fsEGhAjnTuppERESUBS1bvBxlS5RHtUo10KpZa3z+9DnBfR8+fITO7buiSvlqKF28LAb0HQQ/P79YQacxI6xRqlgZ1KpWG/Vq1setm7eTfPzli5dQt2Z9WLVoK25DhgzBxYuXUvDZExFlLtLEVUP6NMSN0zPRsF5pUfbW/RtadJ2PwWPXw8snAFkZez5RphQdFYlbTnNwe/srXH5YFrs8XuJFoOyqYu6c2eG0fSzsJ7WHiopSWleViIiI0png4GDR+0cKBkVEpEzi2CuXr2LNf2vh5HwID57eQ37T/JgyaWqC+1+6cAkjRg/H/Sd3cf22Gzy/e2LhvEXy7bt37sGNGzdx5folPHhyDy2tWmLcmPFJPl5SomQJXLt1Rdz27d2HhpYNEqyPv7+/vIdVQEBAnGnGf94uLf/cjtK6FCwjIsqM8uU1xIHNo7FucX/oZ5fNnr51zyVUsrDBgaM3EB0tJX/JevjLmzKdED8PHF9mh8unTXD+ixKeBLyVb+vcpgbm2XWFnq5GmtaRiIiI0q+TJ05h9ow5iEY0/Hz90LZ9G9jPskvWmXCPOh1F4yaNUKSobKKTocOHoKllcxGY0dbWjrP/oCED5cu6ujri2LNnXOVlHz58QLnyZWFgYCDWGzS0wH+r1iT5+Bi+Pr7Q0Pz9edK6Nevx6MEjfPv+HW/fvBU/ppYsX4z65vXk2+/cvotvX7/Bw8MDSopKWL5qKTZt3IJrV68hLDQMjgvnomWrFn/QakREGYM00qZTmxqwqFsK4213YO9hN3z95oceQ1aiuWV5LJzZXXSKyEoYfKJMQzrpuXZsFdx238eNZyY4+/0D/P8/k52hvjaWzumJlo0rpnU1iYiIsqyQoDB8fv39j4757O4JhCkmWx1ymhlCTUMl0X1atW4pbhIvLy9069QDLs4uaNq8aZx9pbxI3t7eCd6XoZEhlJWV45S/evUaFg3M5euFChcSvYfevX2HUqVL/fZ5XDh/AWXLl5GvN2/RDH179ceF8xeRO09u/LdqLTp0bJ/k49XU1PDt61c0qG8pAlDVqlbDkpWLkF0/4R9Hbm7Xse/gHhQtVhRbN23FnFlz5MEnyZ3bd3Dg8D4ULlIY9tNnoEfXXli4dAHWrF+NUydPw2biFAafiChTMzLQwcZlg9CxdXWMstmCDx+9cPTkHVy4+hQzJrVH7y51k/XCRnrG4BNlCt8+v8eOmYPx6VlFXPikjft+P6a2bNG4ApY49ISxoU6a1pGIiCirkwJPK4bsTtM6DF3ZEaalcidp38DAQNFDRwoSXXe7EW/w6eqVq5g03ibB+9i6c7MIvvwqJCQEGho/ehgpKiqKAJA05O931qxei/fv3bHiv+XysmLFi4neTH179oO6hjqyZ8+OdRvXJPn4mrVr4vJ1WY4nT09P9OneH9On2mLpiiUJ1qNhwwYi8CSxbGyJGXaz4myPee71zOuJAF5MT6e69erg65evYsielpZsWAoRUWbV2KIsblSdielz92HtFlf4+Qdj5OQt2HPYDcvn9kJhs8yfh5jBJ8rwvr91w95Za3H1bhWc9/wo7+2ko62OhTO6oaNVdc5kR0REREl268YtjLOeIHI+aetoi4BQ7dq14t23eo3qOHhkf6I9n+Kjo60dK+G3NAOd9DjxDbn72fatO7Bx3SbsObALOjo/LqzNd1yA589e4M7DWyKYc3D/IXRq1wUXr52PFeRK6PifSUP3evboCfsZdonWRUv7R9BIWUU5zix6sbYrK0Prp+emoiLrfZbYzH1ERJmJtpb0+7Q72reshqETNuL5y0+47PYM1RpNxaSRrTByYGMoK2feEE3mfWaU6UVFhOL6gcU4tMELp97p4Fngj9xOlvVKY9ncXsiTSz9N60hERESxh7xJPY/+xGf3r8hpYpysdfidmfYO6NWnB7r37C4uYC1dtAxPHj+Jd9+/7flUvERx3Lt7T74u5UdSV1dHAbMCYj0kJBR+vr4wzvHjue/ZvRdLFi3Fzj07YJLPJNb9Pbj3APUt6sl7ETVr0RRjRlrD/b27vHdSYsdLQ/5+HvoRGBggemIREVHyql65MK4et4Pj8qNYsOIYQkMjYOu4HweO3cCKub1RvoxppmxyBp8oQ7rosh339p/G2Tt5cfG7F4KjZDOoZNfVxHz7rujQuhp7OxEREaUzUq6lpA55k1OJhGmRPzzmH0lXnt+/cxf5l549e47NG7egStXK8e5b36K+mB3uT7Xv2A4tmrQSAaESJYrDYeZsUaaqqiq2nz93HhPHThI9mSROh4/AftoMMVROQ0NdzManpKwEIyMjsb1i5YrYtX0XypYrCyMjQ9HDSep1ld/UNEnHSzmZSpQsjgqVKoqA1arVq2DVrvVftyERESVMVVUZU62tYNWsEoaN34Sbd1/j/qP3qNvSHiP6N8bkMa2goS77PsgsGHyiDNfbaZP9EDy6aoQT73XwNviDfFv7VtXgaNtZJHUjIiIi+lvSzHZSMKZPz36ih1KvPj3x8eOnZG1QqTfUqjUrsHTxcnh7eaFu/bqYNGWSfLvU6yhHzh+9nlxPu4peTROsJ8rL8hfIj937dspny4uOihb1Dg4KQqEihbFl+yaoqakm6fgRo4djgeNCrFm9TgzHa92qNcaMG5Vg/bW1tBAVGSVfV1RQRM6cORPcLg2zk4JiP5P2l44jIsqqShUzwZmDNli98TTs5u1HUHAYFv93HE4ut8SEWfVqlkBmkS1amiIsE/Hy9MLoQeOxaLUj9A1SZsjV2+fuMC0Su6sypXxbeb67jd0O63Homg5u+HxFeLTshCZXDj0sm9NLJHHLyPi+YlvxfcX/wYyEn1mUWudffK+lDbZ72mHbs+2zIr7vgbfvv2HEpM04e/GRvF16dqqNmZM7IrueZoZv+6wxpx9laIF+3nDdOBvju+/G3NNRuOL9WR546t/DHLddHTJ84ImIiIiIiIiyLtN8Rji8zRprFvaD/v+DTZt3XUQlCxsccr6JjI7D7ihdO7xpHm4cfA6XF9p4GuAtLy9ZJA+Wzu2FqhULpWn9iIiIiIiIiJJDtmzZ0KVdTVjULYXxtjuw/8h1fPnmi26DVqBF4wpYaN8NuXJmz5CNzeATpUvBvp9xaMEC7DimgCue0QiNkgWeNNSUYTexvejxpKTEHAFERJQ5SDONSQmiTxw/gYiISNSpVxv9BvSVT0cfH09PT/2lohsAACxCSURBVKxZvRYP7z8Us5Q1atIIXbp1jjVjmeTtm7dYv3YDnj19BpN8+TB0+GCYFTSTb+/Xqz++fPkS6xirtlbo0693CjxTIiIi+p0cRrrYvGIwOraujlE2W/DxszeOuNzGhStPxDA8aTjer9/36R2DT5SuREdH4fbRTVi7+CFOvAvBt7Bg+bZ2zSpjrl1X5DDWTdM6EhERJTfHOfOwa/tuTLefBnV1Ncy0d8CTx0+wbOXSePf38/NDq2ZWKFDAFIOGDkRgQCAcZ8/D61evMc1uqny/u3fuoWvHbmjRqjlGjx0tEltbjxqHg0f2y/d58uQp2rS1QsNGDeRlMTOgERERUdpp2rAcalUrimlz9mLdVlf4+gVj+MRN2HP4GpbP7YWCpjkyzMvD4BOlG66HNsN1+xUcfqCGV0F+8vICefSxYmF/1KleLE3rR0RElBK8vbyxfs0GzJk3G1ZtZVPbS7ONdenYTcxgVqx43O8/F2cXfP3yFS6nncUMZhK97NnRpUNX9B/YD7ly54I0p8y4MeNR36K+uO8YFg0t4txfnrx5UKZsGb7ARERE6YyOtjoWz+qBDq2qYeiEjXjx6jMuXn2Kqg2nYvLoVhgxoHGGGBWUsfppUaYU5PMZCwcOhO30e1jiFi4PPKmrKmHGxPa4fWEuA09ERJRpubldR3h4OMwt6svLqtWoJoJKly9difcYHx9fqGuoywNPEmNjIzF8L+aYRw8f4cXzF+javUusY1VVVePc35ZNW9GudXsMHzICx48dT8ZnR0RERMmhRpUiuHrcHuOGNxfBppDQcEybsw91W9rj3sN3SO8YfKI0ExUZBtfNy9GtyVzMPhGFW97eiEQ0sgHo1qY6Hl9bgNFDmkJZmR30iIgo8/ro8REqqirIrv8jgaiUx8HQ0EBsi0+VqlXg5+uHg/sPiXUp6CQFkCQeHh7i74vnL8VfNTU1DB00HB3adsKk8ZPF0Lyf5c+fT+SKsh5vjRIlS4hhefPnLki0zsFBwfDy9JLffLx9/rEViIiI6HfU1JQxfVxbXDo2HRXKmIqyew/fo04Le0x12IPgkDCkV/xVT6lOOkE+vHY+jh/0gMuLMHiFh8i3VS6ZFysWD0KJonn4yhARUZYQEREBFeW4icXV1NXEtviUK18WtjOmY8qkqVi8cAmCgoJQu3YtGBoZIjIiUuwTFhYqZs2xHjUWw0cOQ46cObB31160aNIKziePIr9pfrHfpm0b5YnNq9eoJob8TbOZjt79esHAwCDex3c5ehKH9h6JU+7++hP8PAORnKIio/D2uXuy3iex3dMzvufZ9lkR3/d/RksR2DCvJ7YfvIZlG8+KXlCLVh/H/iNusB3dClXKFUgXbW9axES+zOATpaoHl45j+cz9OPNKFZ9Dg+TlJkbaWDyvLxqZl+UrQkREWYpedj0EBASIoXfKysryci8vb7EtIT1790Dnrp3g/v4DNDU1oKuni1JFy4ggk+x+s4u8T8NGDJXnkqparQpqV6uDfXv2w3r8GFH264x6NWvVQGRkpOg5ZVA9/uBT4+aWqGtRW74u9Xyym+QAE7Nc0DfQR3KSToh/PnnNbKTXKCwsLN7hkD+TApGBgT/OnSQaGuqx3jPJKbO3e3rGtmfbZ0V83/+d6cVN0aOrOUZM2gzXS4/x3sMLfcZuRK9OdTDTpiP0dDXSTdtz2B2lCk/3Z7DvMw4d+h7D9seR8sCTjroy5kzpiAduixh4IiKiLKlUqVLi7/279+Vl0nC7b1+/oVRp2baESIGjgoXMkDNXTriecRW9i2vVrim2lf7/sUbGhvL9FRUVkV1fX8yWl5AvX76Kv1JAKyFSvikpyBRzSyxIRglbv3YDyhQvi5JFSqNz+674/v17gvuedz2PCqUrola12vLbmVNn2LxERFlcgfzGcNo+FqsX9EV2XU1RtmnXBVSysIGTyy2kFww+UYr6+PYJ5g2bCPNGy+F4+jvcg2Vd8dWUssG6XwO8vLsMwzJIdn4iIqKUUKJkcZQtVwZLlywXvVuknjDSULpcuXKiTt0fvYt6d++DDes2yte3bNoiesxI3r97j9mz5qJTl47y4XS58+QWScy3bdku3+/qlWt4+uQpatWpJdZv37qDEy4n5fcpBT/mzJqLQoULifxPWZXUXr6+fokG6f7Vjes3sHDeImzduRUPnt6Djq42pk6alugxpcuUxoMn9+S3xk0bJ7hvSEgoQoJlqQ2kXnV/sl1al96HRESUMWTLlg3d2tfCzTOzYNWssij7/NUHXQYsR9eBK/Dlq29aV5HD7ihlBHh9woyh03Hqvgqe+//I/aCimA292lXHtCldk9QFkIiIKCtYtnIpBvQdhAplKkFFWRlq6upYvW5VrKFYTx4/FUGhGFJsoHqlmqLn0Qf3D2jfsR2m2k6Jdb/zFjli8IChqFqhukho/uXzFzHcrqFlA7HdJF9ebNqwCeOtJ8DQ0BDu7u6oUbM6lq5YLHpJZVVHnY5h+lRbWSMD6NKtCybaTBAn98nl8EEnNGrSSOTvkowcPRItm7ZCYGAgNDVlV67jExoa+tshepJVK1bh2dNn8PXxw53bd6Cjq4PFyxaJ1zdm+8P7D8XMidLMiNmzZ8fy1cuwbfM2HHd2gaKiEhYunY9GjS2T7TkTEVHKymGsi62rhuDoydsYbbMVn7744PDxmzh/+TFmTemIHh1rJ+t32Z9gzidKVoHen7HKfhW2nvDEqwDpKprsSppiNqBtw9KYPbsvchjpstWJiIh+ki9/PricdsbbN28RERkJM7MCYsa7n23cuh56enqxcj517NQB79+/F72ctLS04rSplDB8z/5dYhhfUHAwTEzyxgpcGBkZYekKWcJyaZ9cuXMlGvj4V/4BwXj8TDYbX1J9cv+CL/6hyVYHaVITbS31RPdp085K3CRSu/Ts1huVqlSSB+1+7SUUFBSc4H1paWnGG8h79fI16pnXla8XKVpY5Np68+YtSpUqGWd/JWVl0cOtUtnKiIqKFoEr2xnTRIL4hFw8fwlbd25BhYrlsXb1OsywnYnjp47Jt1+76oYde7ahTNkyInl95w5dYD/TDguXLsCG/zbDdoodg09ERBlQc8sKqF2tGKbO3osN28/Bxy8IQ8dvxJ5D17BsTi+YmRqnep0YfKJk8frJPWxasA0HLgfh7U/JMKWgU4PKJli0eATy5f2Rc4KIiIjiMi0gmzY5PsVLFI93RrwiRYv8timl4FRiNDQ0YvWqSilS4MnCahbS0pmDNqhaMWnPVQoGaWlroUXL5rh86Uq8wadzrucxZqR1gvex98BuFCteLE55UHBQrECfkpIS1NTUEBwUO6l4jLr16uD2g5ti+cMHDwwfPAJ202ZgweJ5CT52w0YNROBJ0qJVc8ybOz/O9rLlZD2vpGDWmVNnxdBNSZ3adTBjhr1Ihh9fYJOIiNI3XR0NLJ3dEx1aV8PwCZvw4vVnnL/yBFUtp8JmTGsM62eZqulvGHyif/LxxSPYWi+H61PgU4gsb4BEWSEbrOoXw8B+TVG1ZuLJUomIiIjSkwf3H2DyBBs8e/ocqqoqCA+PgEVDi3j3rVe/Li5du5hoz6f4aGtpwd/fP1YPquDg4CQFevLmzYMx40ZhxJBRie73c68oFVUVee6v+LZLs+ZJQ/N+Xpf8egwREWUstaoWxVUXe8xZchiLVh9HcEgYpjjswf4j17HCsTd0lFNnGB6DT/RXHl09j7kzD+H0k0D4RfxIUqmikA3tGhTHzDkDYGyoK6ZtJCIiIooZ8ib1PPrTYXe5THIkax1+x26aPZq3bI4DTr1FEGbF0hV4+OBRvPv+bc+nosWK4sG9B/J1abZDVTVVFChQQB6MCgkJgba2drz3GxoSBmUVWYCIiIgoMWpqyrCd0A5tmlfBkHEbcPfhO9x58Ba1m9uhV/uamGPfDepqKkhJDD5RkoWFhmDN7PlwcvHArc/hCI2KlG/TUlaAlUURzHIcCn09ds0mIiKiuKRcS0kd8hbjrbYqTIuYpGpzSjmVAvwD4O3tg+dPn2HTxi2oVKlivPtKQ/Gkmef+VLsObWHVoi2OHXFG8RLFMHe2I6zatBZDKSVnz7hi4thJuPNQNk32TLtZKFe+HCpWqiASw8+eNUcMByQiIkqqMiXz4ZzTVKxYfxIzFxwSvaC27r+K4YObolCBnEhJDD7Rb/l9/4ylM9dh7ykPvPYPwc8T7+bSUcXwvvUxaGhbqKjw7UREREQZn5TIe6rNdOzdvU8EhqRA0ZfPX5P1MaQcXguXzMeSRUvh5eUtcjr9PFuhspIStHV+9HrqN6Av5jo4wmGGgxge17J1CwwaMjDB+5cSy6ur/0isrpBNIdb9/bpdyvvx65A/aX/pOCIiyjyUlBQxcmATtGhUEcMnbkL54nlSPPAkHjfFH4EyrHNOTli35jxcn/jDN/zH0DpJESM1TJnYHlbt6qfZVI1EREREKUGa/e3w0YMp3rhNmzcVt/iYNzAXtxg5c+XEomULk3zfQ4YNjrWul10vVg+tX7dXrlIZB5z2xSr7mx5dRESUMZiZGuPoznF4/fR9qjweg08Ui8/Xz3CYtASnr3vhpW84on7q56SmqIDaJfVh5zAQZcqk/Iw4RERERERERJQypI4kioqp08OVwSdCVFQkDm/ei/Wbr+L6u0AERf7I5SQx0VVFj3aVMHJ8d2ioq7LFiIiIiIiIiCjJGHzKoqKiorB/wzZs234ZDzyAryGxp9GVejmVz6eKkaPboXnrH12+iYiIiIiIiIj+BINPWczVk65Yu+YELj7wxqfg2AEnKXNT8Rya6N6hMvoN6wR19nIiIiIiIiIion/E4FMmFxEWhnWL1uCo80M8/RyFz8GxE4dLcmoooW55Y0yZNRgFzPKmST2JiIiIiIiIKHNi8CkT+uLxEdvX7Mfxsy/wwCMYARERcfbJpakCi8q50XdwK1SuXi5N6klEREREREREmR+DT5lAoK8/Dmw7hL37r+L5pwh8DIyINUtdjNyaSqheyhDDRrdH5RoV0qSuRERERERERJS1MPiUAb1+/hLb1+7Bs+feePwuAG+8wxAeHRVnP2UFBRQ3VkeDWqbo0qc5ipUqlib1JSIiIiIiIqKsK10FnyIjI7F6xWo4HT6CoKBgVKteFRNtJsDAwABZlY+XN66cuYKL5x/g9oNPePE5GN+Cw+Pp1yRLGC7lbyqUUwltrWqgS9920NBST4NaExERERERERGlw+DTvLnzsXfXPixYMh+Ghgawm2aPXt164/CxQ1BQUEBmFhYSijtud3Dr2gPcufMWj1974aNPBDxDIuMdQhcTbDJSV0ZJEy2Y1y2CTr1bI1fenKledyIiIiIiIiKidB98CgwMxMb1mzDNdirq1a8ryuYvmoe6Nevj3NlzMG9gjozMy9MTN6/cxFcPT3xw/4YPH7zxzsMX778Ewis4Gr5hCQeZYqgrKiJ/dhWY5VRB+XJ50W1AB5iY5ku150BERERERERElGGDT/fu3ENoSChq16klL8tvmh+mpvnh5nY9XQSfHt95iJ2bneH+7gOyKShCRU0diorKCA+PREREFDy9/OEbEIrQiGwIj1JEUFgUgsOjEBgeheDIyD96LD0VJRhrAnkMlFC5ohkaNa+NSrUqQ1FRMcWeHxERERERERFRpg0+ff78Rfw1NDKMVS6tf/38NcHjgoOCERwcLF/3+u4l/vp4+yR7Hc+6XMbqo09+KkniYyhKvZbiFqspKEJPNRt01QBDXSWULpUPRYqZoGqdqjDMETfPla+PLzIaX18/eHnKXhNiW/F9xf/B9IyfV5m/vXT1dHkRJwXzdqbU+VdGfK9lBmx3tn1WxPc92z4r8k3h79mY8690E3yKjpYNOfu1Z4+ikhIioxLuNeRy9CQO7T0Sp9xukkMK1BJoWj65ex7FDLULx3uPV+J2+sy5ZH4MIiIiWrTaEfoG+myIFODv55+i519ERESUsc+/0k3wKeZk0NvLGzlz/UiaLUXgSpQonuBxjZtboq5Fbfl6WFgYvD29YWhsBEXF5E9SLl3Rk06sps+eDL3sesl+/5kJ24ptxfcV/wczCn5eZY32kq68UcrImy+veD9o6+gk6/lXRn2vZXRsd7Z9VsT3Pds+K/JJhe/ZmPOvdBN8Kl2mlJjR7sb1m2jRqrko8/T0xOtXrzFsxJAEj1PXUBe3n/0cvEop0gvDq6dsK76v0g7/B9lWfF+lPf4fUgwVFRWYFTLjey2T4f842z4r4vuebZ8V6aVCfCP5uwb9JUNDQzRr0RTLlizH1y9fERISCocZc2BsbAzLxpZpXT0iIiIiIiIiIsrIwSeJw9xZKFSoIGpWrY0yxcviyeMn2LBlHdTVY/dsIiIiIiIiIiKijCHdDLuTaGtrY+WaFaLXU3h4mFhPb6RAWOv2LRgQY1vxfcX/wXSPn1dsK763KKPj5xjbPavhe55tnxXxfZ812j5bdMw0c0RERERERERERJl52B0REREREREREWUuDD4REREREREREVGKYfCJiIiIiIiIiIhSDINPRERERERERESUYhh8SqKvX79h6MBhKF28LCqWqQybiVMQHByccq9MBvbq5WvYT5+BciUroFK5KmldnXQrKioKhw85oUObjihTohzq1KiHmXazEBAQkNZVS5eePH6CYYNHiPdUpbKV0at7b9y/dz+tq5Xu2U61Q8F8hbFw/qK0rkq6NHvWHNE+P9/q1qyf1tVKt75//46J4yahcvmq4v/Qdpo9goKC0rpalEF5eXlh5LBR4juwfKmKGG89Af7+/sl+DMX19s1b9OzWG6WKlkHVitUxd7YjIiIiEmwqX18/LF20DI0sGqN0sTJoatkcu3fuZtP+hZs3bqJ18zYoUbiU+L7ZsmlLko91u3YdRQoUg3mdBmz7v3DsiDMszRujeKGSaNygCU6eOPXbY/i9lzzWr92A2tXrivd9m5btcOf23UT39/H2waTxk1Gjck2ULFJavG5/8r9CMp8/fcaiBYtRrWINcY7r5+eH3wkPD8csewdxrid9R/Tt2Q/u7h+QHBh8SmKQoF+vfvD09ILziaPYtmsLLl+8LP4hKK5JEyYjV65c6NGrOyIjItlECbh18xbOnDqDsROscfHqBSxftRRnz7hizMixbLN4LF+6Ei1aNcfJsy44ctwJOXPmRNdO3eHt5c32SoB0UnXtqhty5DBGVGQU2ym+z/fIKNSoVQPPXj+R385eOM22iocUGO9g1REeHh+xe99OuF46i4IFzXDm1Fm2F/2VwQOG4t3b93A6dgh7DuzC3Tv3fvsd+DfHUGwhwSHo1rkHtDQ1cfrcSaxcvRx7d+3FfMcFCTbV1k1bEREZgaUrluDy9UsYNHQgpk6ezgDUH5J+wPXo0gvVa1bDhavnMHHyeMy0c8DB/Yd+e6x0vmM9aiyqVquCyEieX/8p6XxIClxLv08uuV1A+47tMWTAUNy+dSfBY/i9lzx2bt+F+XMXYLrdNJy/4oqy5cqgR5ce+PL5S4LHjB87Ebdv3cbGrRvgdvsqho8cBvvpM3HU6Vgy1SprmGnvgOjoaAwbOVR8bkRH//6YWTNm48jho1i7YY343ZUtWzb07NITYWFh/16haPqtyxcvR+fPXSD6xYuX8jLno87RpnnMoj99/MQWTMC6Neujy5WswPb5Awf3H4wukLdgdFBQENvtN969fSf+L69euca2iofHB4/oKhWqRT998jS6To160fPmzGc7xWOm3azo7l16sm2SYOH8ReIz3d/fn+1F/+zO7bviM/ze3XvysnOu50XZq5evku0Yimvfnv3RBfMVjvbx9pGXrV+7Ibp4oZLRwUHBSW6yYYOHR3ft2I1N/AccZsyOrlm1dqyyCWMnRjeyaPzbY/v26h+9dNEy8X0ufa/Tn+nbs1+c7/t2rdtHDxkwNMFj+L2XPOrVrB9tO9VOvh4ZGRldsWzl6AWOCxM8plrFGuL9/rMG9SyjZ9k7JFOtspbTJ0+L70ofH99E95PO8QoXKBq9c/suedmXz19E3OPI4aP/XA/2fEqCmzduwcjYCIUKFZSX1ahVU0QRpYgsUXLx9vaBiooKlJWV2aiJkLr/b9qwGXny5kGp0iXZVr+QrmyMGj4aAwcPQNFiRdk+v3Hz+k0xjETqkixdBX339h3bLB4njp+ERUNzaGlpsX0oWYYeSe+lMmXLyMuq16gmrrDeunk72Y6h+NrxFkqULA5dPV15Wc1aNcQQ2sePnyS5yaRhMZpammziP2z7atWrxiqTet8+ffIs0bQLG9dvgo+3N4YMH8z2/oe2lz4vfm37xD47+L337zw9PfHmzVtUr1ldXqagoIBq1auJUSAJadaiKVyOn8D7d+/FMLDTJ8/go8dHNGpsmQy1ooTcv/cAYaFhsf5XjHMYo3CRwom+XknF4FMSfP36FQYGBrHKdHV1RIDg27fv//wiEMneZ9+wcvkqtG3fBkpKSmyUBLr9S+OVy5YoBxdnF9EdlD+E41qycClU1dTQu28vvo9+I2eunHBcMBcXrpzH1p2bERISgrat23M4ZzykE0DpQszAfoNE/oVa1epghu1MBAYG8n1Gf+zb12/QN9CPVSZdfNHW0ca3b9+S7RiKrx3jntfGtGtS2/Hs6bO4eOESOnbqwCb+098UhrHb3kBf1vbfE/hN8ejhYyxfsgKLli2CoqIi2/svSMELHx+fuG1voJ/oe57fe//u65ev/2/r+No+4d/RE20mwNQ0v8iJW9i0KIYMGoqZs2egYuWKyVArSuz7QfLr/4q+fuKvV1Ix+PQPpCttUu8non8lJUuV8orlzpMbU6bbsEET0K1nN5GT55LbRdStXxddO3bDp4+f2F4/uXH9BnZs24EFi+aJzyhKXN/+fdC8ZTNk188uruosW7UUoSEh2L93P5sunvyHa1evQ4OGDXD15mUsX7UMJ1xOirwvRMlFIZvCH59b/c0x9EsbKsh+EiSlHaXJPqTcOYOHDYJ5A3M25T/Klkjbh4SEYvjg4bCZNhkmJnnZ1n8pofd1tmyJ/xTm917Kvu8T+7wZM9Iar169hvPJY3jw9B4WLJov8i2fOsm8nGlBQSF54h4MPiWBoZGhmF3lZ1KmeCnplqGh4T+/CJS1Sd2se3btLZa3bN8MdXX1tK5SuiUFU6ReYXnz5sGsOTMRFR0Fp8NH0rpa6cqN6zfF5AjVK9eUz94mDSNbsWylmGGEEqepqYl8+fOLLuIUm9TtWhou0r5jO+jo6KBc+bIYMKgfjh87Lk7Qif6EdP7k/cu5ldQ7wdfXF0ZGhsl2DCXtvNbzu6f4a/Sb89qHDx6ie5eeIlnzhEnj2bx/SHoPe3nG3/bS6/IrqVfO69dvMG7MePl3uvR9Ln2vS8v8IZ40Ug9JHV2duG3v6Rmnh8fP+L3372Le13E/c74n+Dtaet87HTqCMeNGiyHC2traYtKhBpYNsH7NhmSoFSUk5jWJ738lOb5nGXxKgoqVKogug29ev5GXXbl8VfwQrlCx/D+/CJR1xQSewsPDsHXHFjGck5JGir5HiVkbeLX7Z4OHDsKLt89izd6W3zQ/hgwbLK4cUeKCg4Px/v17ccJJsVWqVFF+hT5GNrB3Hf2dCpUqwN8/AA8fPpKXXbt6TXymV6hUMdmOofjb8fGjJ7Gm3JbOa6WLXyVKlUiwyaR279apB6zaWmGa3VQ27V/+pnC7dj1WmdT2RYoWET+wfyX1dnr57nms73Tp+1z6XpeWGzS04OuQ1LavWAFuV93itL1UnhB+7/07IyMj5MufL1bbSxespP8D6f8hsZ6Yv/bgl3rfKCoyfJGSSpctLYK11665xQoGvnj+Unx3/Cu+eklQo2YNlChZAtNspsuDUPPmzEfTZk3EMCmivyEl9uzdvY8IPG3btS1W4k+K7dnTZ7CdaoeXL1+Jq9weHh6i621ERKT4P6S4vcN+vsWUM1dEXFL+ont374mhDe7v3UWidmke2nYd2vJt9Yu+A/riutt10dswNDQUTx4/wbq1G0RS0JgTRaKkki7eVaxUEfbT7MXwaen/b/bMuahnXjfWBC9FzIph3X/r/ugYSlzzFs3E1W3pvNbby1v0ZpJyTnbp1lne+zqmZ43rGVexLv2/dxeBp9awtZ/GJv5L3Xt2E78lFi9cIlIuSLmzDuw/gH4D+sj3kXozSW3/4YOHWP/1Oz3mB/nPy/R7/Qb0FXnK9u3ZLy7+bt+6A7du3EKf/rLRB5LVK/+L1Uuc33vJo/+Avti5fRcuXrgogt6Oc+YhwD8Anbt1ku8z3noCWjRpKc8PJX3WSzlMX718LUYbSf8XUgJySyYcT3atm7fBmJFjxbLUs71Dp/ai7aXPfanH07TJ08UkT5aN/j3ZO7MaJ4H0g239prWYMmkqalWvA2UlZTRu2hh2M5nnIj79eg8QJyuiZ0pUlPgClRw/dUxc2SGZSxcviyFS0o+2CqVjX7E9efYEChYyY1P9X6HChVC8RDEMHzwCr16+El2npasl+w/vE1dTiP5Wl25dMMveAQ/uPxSzNknvq4NHDyJPnjxs1F+ULFUCq9euwpxZczBmhLUYqiD9iLUeP4ZtRX9M+tG8et1KTJ08DfVrW4j1ho0aYMYs+1j7RUZEIur/PVyTegwlTkNDQ0ywYDNpKqpUqAYNTQ20aWslEvzGkM7hpJlTY4bUbt64Bd7e3tiyaau4xZB64Jy9wBwsSSW114bN62BvOxPLFi8XQ5LGjrNGh58St0ttLrU9e3Ynr5q1a2LeQkcsWrBYBDry5TPBkuWLUblK5VhtHxEZIV/n917y6N6rO/z8/UWAQxrOVax4MWzatiHWuVZkZJS4qBxj1ZoVmD1zDjq27Qg/P3/kzp0L1uPGoEev7slUq6xhpt0sMVtmzOdJzG/O1etWoaFlA7EcGRmBqKgfbT/Vdor4fu3QthNCQ0JRuUolbNm+CWpqqv9cn2zR/GSjZCZ9cMeX/4MzuMUWc2IXH7YVJSfpfSZ9ibB3ChFlxM8v6bOLPTxSX0REhLgAK7V9Qud27FWbcueHCZ0LSq+DtA97M6dM20vty7ZNfXxfp4yEPrtjPttT+3cCg09ERERERERERJRimKSBiIiIiIiIiIhSDINPRERERERERESUYhh8IiIiIiIiIiKiFMPgExERERERERERpRgGn4iIiIiIiIiIKMUw+ERERERERERERCmGwSciIiIiIiIiIkoxDD4REREREREREVGKYfCJiFJU9849YDNxyl8dGxoaCvM6DXDO9XyssqNOx9CzW28UK1gC48aMT/Q+NqzbiA5tOiK1jBlhDcfZ81Lt8YiIiChzqlm1Ntav3ZDoPqWLl0XRgsVRuXxV2E61Q2RkpCg/dsQZRcyKydf/5NgYfn5+KFmkNJ48foLAwEBsXL8JVi3aolzJCmhQz1Kc7wQEBCA1LFu8HIP7D0ny/nt27xXPzf29e7zbpXNLqX3crl3HdbfrqFWtDoKCgpKxxkT0KwafiChFhYWHIyIi4q+OlU64dHV1Ua9+XXnZti3bcfzYcfTq0xN5TfIiPDw80ftwPuqMeub1kFqGjBiC9es2wN39Q6o9JhEREWUuzRu3hMcHD8yeOUcESaSbdAHuVzfvXse9R3exZfsmHD7oBLerbqI8MioSYaFhiI6OTvAxEjo2xplTZ6GXXQ/FSxTH8qUrsGLZSvTp1xuuF8/AYe5MHDvqjD49+ib6GMnh86fPWLl8FYaNHJbkYxo3aYRsyIZ9e/fHu33v7n0wNjZGlaqVUaVqFeTNmxerV/6XjLUmol8x+ERE6VJYWJjotdS1e5dY5X3798GK/5ajvnk9KCgk/hH27ds33L51B40aN0JqKVSoIMqXL49N6zel2mMSERFR5nLAaR8MjQwxZtxo3H98T9xUVVXj7CeVqampQl1dHQaGBihVplSSH+N3x55wOYFGjS3FsomJCZyOHUKLVs2RXT+7CNhMmDQO191u4Mnjp0hJmzdtQbHixVCyVIkkH6Ojo4PGTRvhwL6DcYJjvr5+OH3qNNp1aIts2bKJMul8c8vGrQgJDkn2+hORDINPRJSqpKtXLZq0FFfKEuuq7Xr2HLy9vMWJw986deI0zAqaoWAhM/kQQOtR4zB71hxY1G2ICqUrieF7796+i3WctN/IYaPEcEFp2F/ZkuXRq3tveHh4YMe2nWhk0RhlSpRD6+ZtcO/uvTiP26xFU+zfewBRUVF/XXciIiLKulRUVMRfX19fTLOZhob1LcXwOOn8RDo/+pk0LE4qX7VmhQi6JGThvEWoVK6KGGr2u2OlIMx51wto1ER2HtalW2fkzpM71v1p62jLLxjGiBnuJwV92rRsJ4boSedcB/cfwsuXr8T5n1QmDSlcumhZktpi35794tzqV69evsbQgcPEc5LO1fr1HoD3797Lt7fv0E4Mu7v2S48up0NOoldY2/Zt5WUNGzVEUHAQTp48laQ6EdGfY/CJiFLNo4ePRcBGunr13/rV0NLSSnDfq5evomixoonu8zsux39csYsZArh/734oKylj+66tOHT0AIKDgjBi2KhYx0n7Sd3PjXMYY9e+ndi9bydevniFVk1biyF/K1Yvx5nzp8SwvyEDhsYZ+lepckX4+Pjg4YOHf113IiIiovVrNqBc+XI4eGQ/Nm3diDu372KG3axYwZ7pU+2weu0qFC5SON4Gk4brSQGm/fsOYMfubaharcpvjz1//gI0NDTEOU1Cdu3YA21tLRQrVlReFjPcT+qtNMPBHmcunEKNmtUxdvQ4EXjq0LmDGLY31XYKFi9cglMnTyf6Ir94/gLfvn5DxUqx6yEFmdq0ags/f3/s3LMdx08eE8GzLh27yYcn1qhVA3ny5hHBq59JQ/Gq16gGE5O88jKpB1ipUqVw+eJlvumIUgiDT0SUKs6ePouObTuJbs3zFjpCWVk50f1fvXwFk3w/Tgr+lJQk89qVa2jU5EfwSSKdwI2dYI2cuXIiX/58GDh4AO7duScSaf6sfIXyGDl6BIyNjUSwrE1bK3z/7omFSxegUOFCMDIywqAhA+Dh8RHvfrrKJpHuVyIFrIiIiIj+ViurVqLXkaGhoRh21qlLR1y5dEVskxKEDx00DHdu3UHdWvVFj6PDh5xiHe/t7Y1unbrjzes3OHjkAIoULZKkY08cP4kGlhZQVFSMt167duzGsSPHMH7iOKipq8XZPnuug6ivgYEBho0YKh6vbfs2IheTNGxP+lu6TCn5c0nsfFDy6znhqhWrRU6nFauXicCZ1CvLYe4shISEiHxOEmlInfSY0oXDmPM8qfeVdN7XvmP7OI+VL78Jz92IUpBSSt45EZHk0sXL4qrTnHmz0b5juyQHj4xz5PjrBnQ94wpDQwOUKVsmVnnhIoVirWfX1xd/vb19oKmpKS8vVLhgrP109XTFTQo6/SjTE399vGN3f5fuRzpZk7rKExEREf2tX89b9PX14e0jO++QzjWevnoSa7uKSuyLe21btUeePHmwZcdmkdspRmLHShPFSBcNFy6ZH2+dTp88gymTporJX7r36h7vPj+fR8WcLxUs+Ou5lR58vH1+ez4o0dKSDfGLcfvWbVStXiXWUEGp91LZsmXw4P6DWEPvpJnyjh9zETme9u3ZJ3prxZfWQVtbm+duRCmIPZ+IKMWZmRUQQ9SOOB1FcHBwko6RTgACA/9++l4X5xOw/GnIXYyEkpT/mowyvv0UsiXtWOk5Slf4Esu7QERERPQ78Z2P/HzeIQVcfr79un/tOrXw8OFDPHr4KM79JHSs1HNcSilQs3bNOMdcuXwVQwcPEz2KpttP+6N6Kyhki/tcEP3b80HJr+eEERGRIggWMxNgzE3KGfrx4yf5fib5TFC1WlVxEVTKxXlo/2E0b9k8ViAuRmBAIM/diFIQg09ElOKkrtB7D+zGl8+fRTLvmKtYiZEShbu///BXjxcSEorz5y7EG3xKDR/cZfUuYFYgTR6fiIiISGI30xY9e/VA9849xblRUpxwOYl65vXizK4n5Zvq33sAmjRtjNmODvKZ4lKSdD4o+fWcUBqyZ97AXD4TYMzt8YtH2LB5Xax9pV73btfcxKQxnz9/RrsO8ffC//DhA8/diFIQg09ElCqk5N279+0SV6o6teuC79+/J7q/lAjy2dNnCAoK+uPHunjhojhhikmomdpu3bwtEqWXKVs6TR6fiIiIKIaU63L02FHo32cAnI86J9owUq8qabbgX3NmPn3yVMz8W7deHSxYPD/BnuTJTcpRJaVRkIbZ/UzKI3XtylVs2rAJQUGBUFZWwudPn7BqxSo4Hzsea9+mzZuIlAgz7GaKYFbFShXiPI7U0+v+vQciOToRpQwGn4go1ehl18P23Vuhp6eLDm064aPHxwT3rW9hLro+n3Q5Gatcmh44pmu1NAOK06Ej8vWYQJU05M6ioXmCSTJTmnTS08qqJZSUmFaPiIiI0t6AQf1hP9MOI4eNxp7dexPcT+rd5OXlhfrm9WKVb9qwGb4+vjh96gyKFy4Za6ibNGteSpF6V1m1tRJJw38mTf6y9+Ae3Lx+E7Wr1UWxgiXEbHqKCoowt6gfa19piF2zFk0RGhKaYO7Rs2dcxXnbr0E3Iko+2aJ/TVZCRJSMwsLCxNWxnwMx0sdOaGgYlJQUEw3QSFPwSrkF9uzfJS+TxuuHhYXHu7+Ur0BKklmpbBXMW+SIhpYNklwXVVUVeffx+PaTcjhJ9/1zF/T4jnV/7w6Leg1x/KQzChaSdRUnIiIi+lOhoaHiXOTni2nxnY/EJ+Z8STo3+pl0jiOdvyR0/OxZc0TP801bN8Yqlx5T6r0eHylReUxPqIQeV0qJ8PN+Mb2NJL+bAfnDBw9Y1G2Ao8edxMx2CT3fxHpjSe0WHh4Rpw4xpF5dRYoUweSpkxKtCxH9PQafiCjdkhJ3m9dugHkL56JWnVpJPk46wfk5IJSaxowcCx0dbdjOmJ7qj01ERET0L6SAkHT+lN56b8+d7Yi3r99i1dqVKZIuYUCfgXC9dIYJx4lSEINPRJSupdeToMSuUkpX8FIrFwIRERFRZif11pJ6bf2ux9ffkHpFST2nftcDi4j+DYNPRERERERERESUYnhpnoiIiIiIiIiIUgyDT0RERERERERElGIYfCIiIiIiIiIiIqSU/wG2rqsFv1KuSgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1210x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4))\n",
    "k = np.linspace(0, np.pi / 0.5, 400)  # wave number in 1/nm, up to the zone edge of a = 0.5 nm\n",
    "a1.plot(k, H2M0 * k**2 / M, **style.series(\"reference\"), label=\"parabola ħ²k²/2m\")\n",
    "Ekin = np.linspace(0.005, 1.0, 200)  # kinetic energy of the parabola (eV)\n",
    "print(\" spacing a (nm)   t0 (eV)   zone edge π/a (1/nm)   E_grid/E_parabola at E_parabola = 0.1 eV\")\n",
    "k01 = np.sqrt(0.1 * M / H2M0)\n",
    "for a, c in zip((0.1, 0.2825, 0.5), style.sweep(3)):\n",
    "    t0 = H2M0 / (M * a**2)\n",
    "    a1.plot(k, 2 * t0 * (1 - np.cos(k * a)), color=c, label=f\"grid, a = {a} nm\")\n",
    "    kE = np.sqrt(Ekin * M / H2M0)\n",
    "    a2.plot(Ekin, 2 * t0 * (1 - np.cos(kE * a)) / Ekin, color=c, label=f\"a = {a} nm\")\n",
    "    print(\n",
    "        f\"     {a:6.4f}       {t0:7.3f}          {np.pi / a:6.2f}                  \"\n",
    "        f\"{2 * t0 * (1 - np.cos(k01 * a)) / 0.1:.4f}\"\n",
    "    )\n",
    "a1.set(xlabel=\"k (1/nm)\", ylabel=\"kinetic energy (eV)\", ylim=(0, 10), title=\"dispersion, m = 0.067 m₀\")\n",
    "a1.legend(frameon=False, fontsize=8)\n",
    "a2.set(xlabel=\"ħ²k²/2m (eV)\", ylabel=\"E_grid / (ħ²k²/2m)\", title=\"relative kinetic energy on the grid\")\n",
    "a2.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "560c1473",
   "metadata": {},
   "source": [
    "The grid underestimates the kinetic energy, by $(ka)^2/12$ to lowest order: at 0.1 eV the error is\n",
    "0.01 % for $a = 0.1$ nm, 0.12 % for one monolayer and 0.37 % for 0.5 nm. In this effective-mass\n",
    "model the electron energies of interest correspond to small $ka$, and the grid is accurate. The grid cannot represent\n",
    "wave numbers beyond $\\pi/a$; its band ends at the zone edge with energy $4t_0$ (9.1 eV for\n",
    "$a = 0.5$ nm, the curve that bends over in the left panel).\n",
    "\n",
    "## 4. The tridiagonal Hamiltonian\n",
    "\n",
    "Inserted into $-\\frac{\\hbar^2}{2m}\\psi'' + U(x)\\psi = E\\psi$, the three-point formula gives one\n",
    "equation per grid point,\n",
    "\n",
    "$$-t_0\\psi_{i-1} + (2t_0 + U_i)\\psi_i - t_0\\psi_{i+1} = E\\psi_i, \\qquad i = 1, \\dots, N,$$\n",
    "\n",
    "with $\\psi_0 = \\psi_{N+1} = 0$ for a closed system: the terms that would reach outside drop out of\n",
    "the first and last equations. In matrix form $H\\psi = E\\psi$, with $H$ an $N\\times N$ tridiagonal\n",
    "matrix: $2t_0 + U_i$ on the diagonal and $-t_0$ on the two neighbouring diagonals.\n",
    "\n",
    "![Slide 10: the Hamiltonian matrix](attachment:slide_010.png)\n",
    "\n",
    "*Slide 10: interior rows, the first and the last row, and the resulting tridiagonal matrix.*\n",
    "\n",
    "open-nemo builds the same matrix for a `Heterostructure1D`. The check below builds $H$ by hand for\n",
    "the 6 nm, 0.4 eV well inside 20 nm barriers and compares it element by element, then solves the\n",
    "eigenvalue problem (with SciPy's tridiagonal solver, which stores only the two diagonals)."
   ],
   "attachments": {
    "slide_010.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "389e70a3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:13.147781Z",
     "iopub.status.busy": "2026-10-25T17:26:13.147697Z",
     "iopub.status.idle": "2026-10-25T17:26:13.163708Z",
     "shell.execute_reply": "2026-10-25T17:26:13.163311Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 460 sites, t0 = 56.865 eV; largest |H_hand − H_open-nemo| = 0.0e+00 eV\n",
      "transcendental equations (eV): [0.07823 0.28699]\n",
      " spacing a (nm)   eigenvalues below V0 (eV)          largest error (meV)\n",
      "     0.400        [0.07759 0.2849 ]      2.0876\n",
      "     0.200        [0.07807 0.28647]      0.5207\n",
      "     0.100        [0.07819 0.28686]      0.1301\n",
      "     0.050        [0.07822 0.28695]      0.0325\n",
      "     0.025        [0.07823 0.28698]      0.0081\n",
      "error ratio per halving of a: [4.01 4.   4.   4.  ]\n"
     ]
    }
   ],
   "source": [
    "def well_device(dx, barrier=20.0):\n",
    "    w_mat, b_mat = EM(\"GaAs\", M, 12.9), EM(\"barrier\", M, 12.9, conduction_band_edge=V0)\n",
    "    return nemo.Heterostructure1D(\n",
    "        [nemo.Layer(b_mat, barrier), nemo.Layer(w_mat, W), nemo.Layer(b_mat, barrier)], spacing=dx\n",
    "    )\n",
    "\n",
    "\n",
    "dev = well_device(0.1)\n",
    "t0 = H2M0 / (M * 0.1**2)\n",
    "H_hand = np.diag(2 * t0 + dev.band_edge) - t0 * np.eye(dev.num_sites, k=1) - t0 * np.eye(dev.num_sites, k=-1)\n",
    "H_nemo = dev.hamiltonian.sparse.dense()\n",
    "print(\n",
    "    f\"N = {dev.num_sites} sites, t0 = {t0:.3f} eV; largest |H_hand − H_open-nemo| = \"\n",
    "    f\"{np.abs(H_hand - H_nemo).max():.1e} eV\"\n",
    ")\n",
    "\n",
    "\n",
    "def finite_well_levels(Wd=W, V=V0, m=M):\n",
    "    f = lambda e, p: (\n",
    "        np.tan(np.sqrt(m * e / H2M0) * Wd / 2) if p == 0 else -1 / np.tan(np.sqrt(m * e / H2M0) * Wd / 2)\n",
    "    ) - np.sqrt((V - e) / e)\n",
    "    grid = np.linspace(1e-6, V - 1e-9, 20001)\n",
    "    out = []\n",
    "    for p in (0, 1):\n",
    "        y = f(grid, p)\n",
    "        out += [\n",
    "            brentq(f, grid[i], grid[i + 1], args=(p,))\n",
    "            for i in np.nonzero((np.sign(y[:-1]) != np.sign(y[1:])) & (np.abs(y[:-1] - y[1:]) < 1))[0]\n",
    "        ]\n",
    "    return np.sort(out)\n",
    "\n",
    "\n",
    "exact = finite_well_levels()\n",
    "print(\"transcendental equations (eV):\", np.round(exact, 5))\n",
    "print(\" spacing a (nm)   eigenvalues below V0 (eV)          largest error (meV)\")\n",
    "spacings = np.array([0.4, 0.2, 0.1, 0.05, 0.025])\n",
    "errs = []\n",
    "for a in spacings:\n",
    "    h = well_device(a).hamiltonian.sparse.dense().real\n",
    "    ev = eigh_tridiagonal(h.diagonal(), h.diagonal(1), select=\"v\", select_range=(0, V0))[0]\n",
    "    errs.append(np.abs(ev - exact).max())\n",
    "    print(f\"     {a:5.3f}        {np.array2string(ev, precision=5)}      {1e3 * errs[-1]:.4f}\")\n",
    "print(\"error ratio per halving of a:\", np.round(np.array(errs[:-1]) / np.array(errs[1:]), 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de9400be",
   "metadata": {},
   "source": [
    "The hand-built matrix and open-nemo's are identical. The eigenvalues converge to the zeros of the\n",
    "determinant of Section 1 and the transcendental equations, and the error falls by about a factor of\n",
    "four each time the spacing is halved: the $a^2$ error of the three-point formula. Even the coarse\n",
    "0.4 nm grid is within about 2 meV. The barriers are 20 nm thick so that the hard walls at the ends\n",
    "do not matter: the upper state decays into the barrier with $\\gamma = 0.45$ nm$^{-1}$, and with 10 nm\n",
    "barriers the walls would shift it by about 0.01 meV, more than the grid error at the finest\n",
    "spacing.\n",
    "\n",
    "## 5. Closed systems are wrong for open devices\n",
    "\n",
    "The eigenvalue problem assumes closed boundaries, $\\psi = 0$ at both ends. For a device from which\n",
    "electrons leak into contacts, this gives \"just plain wrong\" answers, in Klimeck's words. A double\n",
    "barrier (3 nm barriers of 0.3 eV around a 5 nm well) with GaAs contacts of length $L_c$ on each\n",
    "side is solved both ways: as a closed box of total length $2L_c + 11$ nm, and as an open system with\n",
    "`nemo.resonances`, which attaches semi-infinite contacts through self-energies.\n",
    "\n",
    "![Slide 11: solving the eigenvalue problem, and why it is wrong for an open system](attachment:slide_011.png)\n",
    "\n",
    "*Slide 11: the closed-system eigenvalue problem; a device with contacts needs open boundary\n",
    "conditions (reference: nanoHUB resource 8086).*"
   ],
   "attachments": {
    "slide_011.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5e5de503",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:13.164657Z",
     "iopub.status.busy": "2026-10-25T17:26:13.164588Z",
     "iopub.status.idle": "2026-10-25T17:26:13.848658Z",
     "shell.execute_reply": "2026-10-25T17:26:13.848258Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " contacts Lc (nm)   closed-box eigenvalues in 0.06–0.12 eV        open system: E0 (eV)   Γ (meV)\n",
      "       10          [0.089]                                        0.0885     4.68\n",
      "       20          [0.0871 0.1089 0.1123]                         0.0885     4.78\n",
      "       40          [0.0793 0.0815 0.0907 0.1171 0.1187]           0.0885     4.62\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 825x495 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def dbl(Lc, dx=0.05):\n",
    "    g_mat, b_mat = EM(\"GaAs\", M, 12.9), EM(\"barrier\", M, 12.9, conduction_band_edge=0.3)\n",
    "    mats, widths = (g_mat, b_mat, g_mat, b_mat, g_mat), (Lc, 3.0, 5.0, 3.0, Lc)\n",
    "    return nemo.Heterostructure1D([nemo.Layer(m_, w_) for m_, w_ in zip(mats, widths)], spacing=dx)\n",
    "\n",
    "\n",
    "Lcs = np.arange(8, 61, 1.0)\n",
    "fig, ax = plt.subplots(figsize=(7.5, 4.5))\n",
    "for Lc in Lcs:\n",
    "    h = dbl(Lc).hamiltonian.sparse.dense().real\n",
    "    ev = eigh_tridiagonal(h.diagonal(), h.diagonal(1), select=\"v\", select_range=(0, 0.2))[0]\n",
    "    ax.plot(np.full(ev.size, Lc), ev, \".\", ms=2.5, color=style.CONTEXT)\n",
    "print(\" contacts Lc (nm)   closed-box eigenvalues in 0.06–0.12 eV        open system: E0 (eV)   Γ (meV)\")\n",
    "for Lc in (10.0, 20.0, 40.0):\n",
    "    dev = dbl(Lc)\n",
    "    h = dev.hamiltonian.sparse.dense().real\n",
    "    ev = eigh_tridiagonal(h.diagonal(), h.diagonal(1), select=\"v\", select_range=(0.06, 0.12))[0]\n",
    "    res = nemo.resonances(dev)\n",
    "    print(\n",
    "        f\"     {Lc:4.0f}          {np.array2string(ev, precision=4):42s}     {res['energy'][0]:.4f}     \"\n",
    "        f\"{1e3 * res['width'][0]:.2f}\"\n",
    "    )\n",
    "res = nemo.resonances(dbl(20.0))\n",
    "ax.axhspan(\n",
    "    res[\"energy\"][0] - res[\"width\"][0] / 2,\n",
    "    res[\"energy\"][0] + res[\"width\"][0] / 2,\n",
    "    color=style.OPEN_NEMO,\n",
    "    alpha=0.25,\n",
    "    lw=0,\n",
    "    label=\"open system: resonance E0 ± Γ/2\",\n",
    ")\n",
    "ax.set(\n",
    "    xlabel=\"contact length Lc on each side (nm)\",\n",
    "    ylabel=\"energy (eV)\",\n",
    "    ylim=(0, 0.2),\n",
    "    title=\"closed-box eigenvalues (grey) of a double barrier with contacts\",\n",
    ")\n",
    "ax.legend(frameon=False, fontsize=8, loc=\"upper right\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1ceddc8",
   "metadata": {},
   "source": [
    "The closed box has a discrete spectrum whose energies depend on the arbitrary length of the\n",
    "contacts: most eigenvalues are standing waves of the contact regions, falling as $1/L_c^2$ and\n",
    "appearing in nearly degenerate pairs (left and right contact). The state of the well appears as an\n",
    "eigenvalue only where it is not mixed with a contact state, and it is mixed more often the longer\n",
    "the contacts are: with 40 nm contacts there are several eigenvalues near the resonance and none of\n",
    "them is \"the\" well state. The open system gives one answer, nearly independent of $L_c$: a\n",
    "resonance at 0.0885 eV with a width of 4.6 to 4.8 meV, a lifetime $\\hbar/\\Gamma$ of 0.14 ps, and a continuous\n",
    "spectrum of contact states at every energy. These are the quantities that a transport calculation\n",
    "needs (Lecture 6.3), and they are invisible in the closed box.\n",
    "\n",
    "## 6. Exploration: a position-dependent mass\n",
    "\n",
    "In a heterostructure the effective mass changes at the interfaces, for example from GaAs\n",
    "($0.067\\,m_0$) to AlGaAs (about $0.092\\,m_0$ for 30 % aluminium). Current conservation then requires\n",
    "$\\psi$ and $\\psi'/m$ to be continuous (BenDaniel–Duke), and the kinetic operator becomes\n",
    "$-\\frac{\\hbar^2}{2}\\frac{d}{dx}\\frac{1}{m(x)}\\frac{d}{dx}$. Its three-point discretization puts the\n",
    "mass on the bonds between sites, $t_{i,i+1} = \\hbar^2/(2m_{i+1/2}a^2)$, and keeps $H$ symmetric;\n",
    "this is what open-nemo does. The naive alternative, $-\\frac{\\hbar^2}{2m_i}\\psi''$ with the mass on\n",
    "the sites, gives a non-symmetric matrix. Both are compared with the exact levels of a 6 nm well of\n",
    "depth 0.3 eV, whose matching condition is $\\tan(kW/2) = m_w\\gamma/(m_bk)$ (even states)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9aac949a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:13.849725Z",
     "iopub.status.busy": "2026-10-25T17:26:13.849650Z",
     "iopub.status.idle": "2026-10-25T17:26:14.874880Z",
     "shell.execute_reply": "2026-10-25T17:26:14.874413Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "exact (ψ'/m continuous):         [0.06535 0.24321] eV\n",
      "a = 0.100 nm  mass on bonds (open-nemo): [0.06531 0.24313]   mass on sites (naive): [0.07715 0.25703]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a = 0.050 nm  mass on bonds (open-nemo): [0.06534 0.24319]   mass on sites (naive): [0.07718 0.25709]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a = 0.025 nm  mass on bonds (open-nemo): [0.06534 0.2432 ]   mass on sites (naive): [0.07719 0.2571 ]\n"
     ]
    }
   ],
   "source": [
    "mw, mb, Vh = 0.067, 0.092, 0.3\n",
    "\n",
    "\n",
    "def f_mass(e, p):\n",
    "    k, g = np.sqrt(mw * e / H2M0), np.sqrt(mb * (Vh - e) / H2M0)\n",
    "    return (np.tan(k * W / 2) if p == 0 else -1 / np.tan(k * W / 2)) - mw * g / (mb * k)\n",
    "\n",
    "\n",
    "grid = np.linspace(1e-5, Vh - 1e-6, 30001)\n",
    "exact = []\n",
    "for p in (0, 1):\n",
    "    y = f_mass(grid, p)\n",
    "    exact += [\n",
    "        brentq(f_mass, grid[i], grid[i + 1], args=(p,))\n",
    "        for i in np.nonzero((np.sign(y[:-1]) != np.sign(y[1:])) & (np.abs(y[:-1] - y[1:]) < 1))[0]\n",
    "    ]\n",
    "exact = np.sort(exact)\n",
    "print(\"exact (ψ'/m continuous):        \", np.round(exact, 5), \"eV\")\n",
    "for a in (0.1, 0.05, 0.025):\n",
    "    dev = nemo.Heterostructure1D(\n",
    "        [\n",
    "            nemo.Layer(EM(\"AlGaAs\", mb, 12.9, conduction_band_edge=Vh), 20.0),\n",
    "            nemo.Layer(EM(\"GaAs\", mw, 12.9), W),\n",
    "            nemo.Layer(EM(\"AlGaAs\", mb, 12.9, conduction_band_edge=Vh), 20.0),\n",
    "        ],\n",
    "        spacing=a,\n",
    "    )\n",
    "    h = dev.hamiltonian.sparse.dense().real\n",
    "    ev = eigh_tridiagonal(h.diagonal(), h.diagonal(1), select=\"v\", select_range=(0, Vh))[0]\n",
    "    m_site = np.where(np.abs(dev.x - dev.x.mean()) < W / 2, mw, mb)\n",
    "    t = H2M0 / (m_site * a**2)\n",
    "    H_naive = np.diag(2 * t + dev.band_edge) - np.diag(t[:-1], 1) - np.diag(t[1:], -1)\n",
    "    ev_naive = np.sort(np.linalg.eigvals(H_naive).real)\n",
    "    ev_naive = ev_naive[ev_naive < Vh]\n",
    "    print(\n",
    "        f\"a = {a:5.3f} nm  mass on bonds (open-nemo):\",\n",
    "        np.round(ev, 5),\n",
    "        f\"  mass on sites (naive): {np.round(ev_naive, 5)}\",\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aea8fcec",
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   "source": [
    "The mass-on-bonds discretization converges to the exact levels; at 0.025 nm both states are within\n",
    "0.01 meV. The naive discretization converges too, but to the wrong answer:\n",
    "11.8 meV too high for the ground state and 14 meV for the excited state, independent of the grid.\n",
    "It describes a well with $\\psi'$ instead of $\\psi'/m$ continuous, which does not conserve current.\n",
    "Refining the grid does not fix an inconsistent discretization.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Closed systems can be solved analytically: ansatz, boundary conditions, a determinant set to zero,\n",
    "  normalization. Every new geometry needs its own matrix.\n",
    "- The transfer matrix solves open systems with flat layers. Sloped potentials must be sliced (error\n",
    "  $\\propto 1/n^2$), and propagating through thick barriers in the unstable direction amplifies\n",
    "  round-off by $e^{2\\gamma L}$.\n",
    "- On a grid of spacing $a$ the Schrödinger equation becomes $H\\psi = E\\psi$ with a tridiagonal $H$:\n",
    "  $2t_0 + U_i$ on the diagonal, $-t_0$ beside it, $t_0 = \\hbar^2/(2ma^2)$. Its error is of order\n",
    "  $(ka)^2/12$, and its dispersion $2t_0(1 - \\cos ka)$ is that of a one-orbital tight-binding chain.\n",
    "- Closed boundaries turn the continuum of the contacts into box states whose energies depend on\n",
    "  the contact length. Devices with contacts need open boundary conditions.\n",
    "- A position-dependent mass must be discretized on the bonds; the naive form converges to wrong\n",
    "  energies.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Extend `coefficient_matrix` to a double well (five regions, 8×8 matrix) and find the splitting of\n",
    "   the ground state for a 2 nm barrier between two 6 nm wells.\n",
    "2. Use the stable (backward) propagation of Section 2 to compute the 30 nm wave function, and\n",
    "   compare it with open-nemo's `spectral_left` as in Lecture 6.1.\n",
    "3. Show that the eigenvalues of the hard-wall box with $N$ sites are exactly\n",
    "   $E_n = 2t_0(1 - \\cos(n\\pi/(N+1)))$, and check this against `eigh_tridiagonal`.\n",
    "4. Repeat Section 5 with thicker barriers (5 nm). How long must the contacts be before the closed\n",
    "   box shows several eigenvalues within one resonance width?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 6.1: the transfer matrix method](06_1_transfer_matrix_method.ipynb) and\n",
    "  [Lecture 7.1: band structure from a periodic potential](07_1_bandstructure_problem_formulation.ipynb).\n",
    "- [Green's functions from scratch](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_01_greens_functions_from_scratch.ipynb)\n",
    "  and [Bound states in open devices](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_02_bound_states_in_open_devices.ipynb):\n",
    "  the open boundary conditions that replace the closed box.\n",
    "- G. Klimeck, \"Nanoelectronic Modeling: From Quantum Mechanics and Atoms to Realistic Devices\"\n",
    "  (2010), [nanoHUB resource 8086](https://nanohub.org/resources/8086): the course cited on slide 11."
   ]
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