{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "86ee2abb",
   "metadata": {},
   "source": [
    "# Lecture 23.2: Theory of stress and strain — deformation: strain\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45347](https://nanohub.org/resources/45347) — [video](https://nanohub.org/resources/45358) · [slides](https://nanohub.org/resources/45357)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- Two vectors describe a deformed crystal: the reference position $\\mathbf{x}$ of an atom and its displacement $\\mathbf{u}(\\mathbf{x})$; strain is the change of distances, so only the gradient $\\partial u_i/\\partial x_j$ matters.\n",
    "- Rigid translations and rigid rotations move atoms but produce no strain.\n",
    "- In one dimension a uniform stretch $a' = a(1+\\varepsilon)$ means a linear displacement $u = \\varepsilon x$ and a constant strain $\\varepsilon = \\mathrm{d}u/\\mathrm{d}x$; a nonlinear $u(x)$ gives a local strain.\n",
    "- In three dimensions the strain tensor $\\varepsilon_{ij} = \\tfrac12(\\partial u_i/\\partial x_j + \\partial u_j/\\partial x_i)$: diagonal entries stretch the cell, its trace is the volume change, off-diagonal entries are shear.\n",
    "- Simple shear and the origin of the factor 2: the right angle of the cell closes by $\\theta \\approx 2\\varepsilon_{xy}$.\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "You compute displacement gradients of translated, rotated and stretched grids of atoms and see which of them carry strain; build a one-dimensional chain with a strained inclusion and read the local strain off its atoms; deform a GaAs unit cell with `mechanics.strain_structure`, recover the strain tensor from its bonds with `mechanics.atomic_strain`, and compare the trace with the exact volume change; and check the shear angle $\\theta \\approx 2\\varepsilon_{xy}$, including the internal relaxation of the atoms that continuum theory does not see."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a7aecdc5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:06.993817Z",
     "iopub.status.busy": "2026-10-25T17:27:06.993457Z",
     "iopub.status.idle": "2026-10-25T17:27:07.456873Z",
     "shell.execute_reply": "2026-10-25T17:27:07.456502Z"
    }
   },
   "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",
    "from opennemo.models import mechanics as M\n",
    "from opennemo.solvers import elasticity as E\n",
    "from opennemo.structures.structure import Structure\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2eb1bbdc",
   "metadata": {},
   "source": [
    "## 1. Where atoms sit and how far they move\n",
    "\n",
    "Strain is geometry. Take a crystal in its unstrained reference state and label every atom by its\n",
    "position there, $\\mathbf{x} = (x, y, z) \\equiv (x_1, x_2, x_3)$. (The points could equally be the nodes\n",
    "of a finite-element mesh; the definitions are the same.) After the crystal is deformed the atom that\n",
    "started at $\\mathbf{x}$ sits at\n",
    "\n",
    "$$\n",
    "\\mathbf{x}' = \\mathbf{x} + \\mathbf{u}(\\mathbf{x}),\n",
    "$$\n",
    "\n",
    "where $\\mathbf{u}(\\mathbf{x})$ is the *displacement*: how far that particular atom has moved. Strain is the\n",
    "change of *distances* between atoms. Two neighbouring atoms separated by $\\mathrm{d}\\mathbf{x}$ before the\n",
    "deformation are separated afterwards by\n",
    "\n",
    "$$\n",
    "\\mathrm{d}x_i' = \\mathrm{d}x_i + \\sum_j \\frac{\\partial u_i}{\\partial x_j}\\,\\mathrm{d}x_j .\n",
    "$$\n",
    "\n",
    "Only the gradient $\\partial u_i/\\partial x_j$ enters. A constant displacement moves every atom by the same\n",
    "amount, a rigid translation: its derivative is zero and there is no strain. A rigid rotation changes\n",
    "the directions of the bonds but not their lengths, and is not strain either.\n",
    "\n",
    "![Slide 3: reference positions x and displaced positions x' = x + u(x)](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3. Open circles: the unstrained reference crystal; filled circles: the strained crystal, every atom\n",
    "moved by $\\mathbf{u}(\\mathbf{x})$. Here $u$ grows linearly with $x$, $u(x) = \\varepsilon x$, with the strain\n",
    "$\\varepsilon$ exaggerated so that it can be seen.*\n",
    "\n",
    "The three cases of the slide can be checked on a small grid of atoms. The cell below applies a rigid\n",
    "translation, a rigid rotation by 2° and a uniform stretch of 2 % along $x$, and computes the gradient\n",
    "$\\partial u_i/\\partial x_j$ numerically from the displaced positions."
   ],
   "attachments": {
    "slide_003_crop.png": {
     "image/png": "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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "09ed371d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.458183Z",
     "iopub.status.busy": "2026-10-25T17:27:07.458085Z",
     "iopub.status.idle": "2026-10-25T17:27:07.461521Z",
     "shell.execute_reply": "2026-10-25T17:27:07.461190Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "translation by (0.3a, 0.2a)  du/dx = [[0.0, 0.0], [0.0, 0.0]]   strain = [[0.0, 0.0], [0.0, 0.0]]\n",
      "rotation by 2°               du/dx = [[-0.0006, -0.0349], [0.0349, -0.0006]]   strain = [[-0.0006, -0.0], [-0.0, -0.0006]]\n",
      "stretch along x by 2 %       du/dx = [[0.02, 0.0], [0.0, 0.0]]   strain = [[0.02, 0.0], [0.0, 0.0]]\n"
     ]
    }
   ],
   "source": [
    "a = 1.0                                         # grid spacing (arbitrary length unit)\n",
    "X, Y = np.meshgrid(np.arange(6) * a, np.arange(6) * a, indexing=\"xy\")\n",
    "th = np.radians(2.0)\n",
    "fields = {                                      # displacement (u_x, u_y) of the atom at (X, Y)\n",
    "    \"translation by (0.3a, 0.2a)\": (0.3 * a + 0 * X, 0.2 * a + 0 * Y),\n",
    "    \"rotation by 2°\": (X * np.cos(th) - Y * np.sin(th) - X, X * np.sin(th) + Y * np.cos(th) - Y),\n",
    "    \"stretch along x by 2 %\": (0.02 * X, 0 * Y),\n",
    "}\n",
    "\n",
    "def gradient(ux, uy):\n",
    "    # du_i/dx_j at the central atom, from finite differences on the grid (rows y, columns x)\n",
    "    g = [np.gradient(u, a) for u in (ux, uy)]          # np.gradient returns (d/dy, d/dx)\n",
    "    return np.array([[gi[1][2, 2], gi[0][2, 2]] for gi in g])\n",
    "\n",
    "for name, (ux, uy) in fields.items():\n",
    "    du = gradient(ux, uy)\n",
    "    eps = 0.5 * (du + du.T)                       # symmetric part: the strain tensor\n",
    "    print(f\"{name:28s} du/dx = {np.round(du, 4).tolist()}   strain = {np.round(eps, 4).tolist()}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee2de07a",
   "metadata": {},
   "source": [
    "The translation has a zero gradient. The 2° rotation has a large gradient, $\\pm0.0349$ in the off-diagonal\n",
    "entries, but it is antisymmetric, $\\partial u_x/\\partial y = -\\partial u_y/\\partial x$, and drops out of the\n",
    "symmetric combination that defines the strain (Section 3). What remains on the diagonal, $-0.0006$, is\n",
    "$\\cos\\theta - 1 \\approx -\\theta^2/2$: linear theory is exact only to first order in the gradient, and a\n",
    "finite rotation leaves a second-order residue. Exact measures of strain built from the deformation\n",
    "gradient $F = 1 + \\partial\\mathbf{u}/\\partial\\mathbf{x}$ remove the rotation completely.\n",
    "`elasticity.finite_strain` provides them; the Green–Lagrange strain $\\tfrac12(F^\\mathrm{T}F - 1)$ of the\n",
    "rotation is zero to machine precision:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d2274a0c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.462488Z",
     "iopub.status.busy": "2026-10-25T17:27:07.462417Z",
     "iopub.status.idle": "2026-10-25T17:27:07.465018Z",
     "shell.execute_reply": "2026-10-25T17:27:07.464635Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "infinitesimal   ε_xx = -6.09e-04   ε_xy = +0.00e+00\n",
      "green_lagrange  ε_xx = +0.00e+00   ε_xy = -1.08e-18\n",
      "biot            ε_xx = +0.00e+00   ε_xy = +0.00e+00\n"
     ]
    }
   ],
   "source": [
    "R = np.array([[np.cos(th), -np.sin(th), 0], [np.sin(th), np.cos(th), 0], [0, 0, 1]])   # F of the rotation\n",
    "for measure in (\"infinitesimal\", \"green_lagrange\", \"biot\"):\n",
    "    e = E.finite_strain(R, measure)\n",
    "    print(f\"{measure:15s} ε_xx = {e[0, 0]:+.2e}   ε_xy = {e[0, 1]:+.2e}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4836b4ad",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.465853Z",
     "iopub.status.busy": "2026-10-25T17:27:07.465792Z",
     "iopub.status.idle": "2026-10-25T17:27:07.554389Z",
     "shell.execute_reply": "2026-10-25T17:27:07.553921Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1100x396 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 3, figsize=(10, 3.6))\n",
    "for ax, (name, (ux, uy)) in zip(axs, fields.items()):\n",
    "    scale = 5 if name.startswith(\"stretch\") else 1               # exaggerate the 2 % stretch\n",
    "    ax.plot(X, Y, \"o\", mfc=\"none\", color=style.CONTEXT, ms=7)\n",
    "    ax.plot(X + scale * ux, Y + scale * uy, \"o\", color=style.OPEN_NEMO, ms=5)\n",
    "    ax.set_title(name + (\" (drawn ×5)\" if scale > 1 else \"\"), fontsize=10)\n",
    "    ax.set_xlabel(\"x (a)\")\n",
    "    ax.set_xlim(-0.5, 6.2)\n",
    "    ax.set_ylim(-0.5, 5.7)\n",
    "    ax.set_aspect(\"equal\")\n",
    "axs[0].set_ylabel(\"y (a)\")\n",
    "fig.suptitle(\"Open: reference positions x; filled: x + u(x)\", fontsize=11)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d719d91b",
   "metadata": {},
   "source": [
    "## 2. Strain in one dimension\n",
    "\n",
    "Stretch a chain of atoms of spacing $a$ and length $L$ uniformly to the length $L' = L + \\Delta L$. Every\n",
    "spacing grows in the same proportion, $a' = a(1+\\varepsilon)$, with the strain\n",
    "\n",
    "$$\n",
    "\\varepsilon = \\frac{\\Delta L}{L} = \\frac{L' - L}{L}.\n",
    "$$\n",
    "\n",
    "The atom that started at $x$ moves by $u(x) = \\varepsilon x$, a linear displacement, and\n",
    "$\\varepsilon = \\mathrm{d}u/\\mathrm{d}x$ is the same everywhere. A positive strain is *tensile*\n",
    "(stretched), a negative strain *compressive* (squeezed). Strain has no unit; it is quoted in per cent.\n",
    "Typical epitaxial strains are 0.1 % to a few per cent, and anything beyond that counts as very large.\n",
    "If $u(x)$ is not linear, $\\varepsilon(x) = \\mathrm{d}u/\\mathrm{d}x$ varies from place to place. That is the\n",
    "situation of a quantum dot, where the strain changes from atom to atom.\n",
    "\n",
    "![Slide 4: stretching a chain of atoms](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4. A uniform stretch: the spacing grows from $a$ to $a' = a(1+\\varepsilon)$, the length from $L$ to\n",
    "$L'$, and the displacement $u(x) = \\varepsilon x$ is a straight line.*\n",
    "\n",
    "A one-dimensional caricature of a quantum dot shows a nonlinear $u(x)$. A chain of 41 GaAs-like\n",
    "atoms is clamped at both ends; the 10 bonds in the middle belong to an \"InAs\" inclusion whose natural\n",
    "length is 7.2 % longer. Treat each bond as a spring of natural length $\\ell_k$ and stiffness $k_k$ (taken\n",
    "proportional to $C_{11}/\\ell_k$ of the material, with the measured $C_{11}$ of 122.1 GPa and 83.3 GPa).\n",
    "With both ends fixed all springs carry the same force $f$, and the total length $L = \\sum_k(\\ell_k +\n",
    "f/k_k)$ fixes it: $f = (L - \\sum_k \\ell_k)/\\sum_k k_k^{-1}$."
   ],
   "attachments": {
    "slide_004_crop.png": {
     "image/png": "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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fd429941",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.555608Z",
     "iopub.status.busy": "2026-10-25T17:27:07.555515Z",
     "iopub.status.idle": "2026-10-25T17:27:07.558475Z",
     "shell.execute_reply": "2026-10-25T17:27:07.558138Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "strain in the inclusion (own reference): -2.30 %\n",
      "strain in the GaAs arms:                -1.57 %\n",
      "du/dx in the inclusion, against GaAs:   +4.70 %\n",
      "displacement at the two ends of the inclusion: -1.329 Å and +1.329 Å\n"
     ]
    }
   ],
   "source": [
    "a_g, a_i = 0.56533, 0.60584                     # nm; one spring per lattice constant\n",
    "c11_g, c11_i = 122.1, 83.3                                       # GPa\n",
    "N = 40                                                           # bonds; 41 atoms\n",
    "inclusion = (np.arange(N) >= 15) & (np.arange(N) < 25)\n",
    "ell = np.where(inclusion, a_i, a_g)                              # natural bond lengths\n",
    "k = np.where(inclusion, c11_i, c11_g) / ell                      # bond stiffness (arbitrary units)\n",
    "L = N * a_g                                                      # ends clamped to the GaAs chain\n",
    "f = (L - ell.sum()) / (1 / k).sum()\n",
    "xp = np.concatenate([[0.0], np.cumsum(ell + f / k)])             # strained positions x'\n",
    "x = np.arange(N + 1) * a_g                                       # reference: the unstrained GaAs chain\n",
    "u = xp - x\n",
    "eps_ref = np.diff(u) / a_g                                       # du/dx against the GaAs reference\n",
    "eps_own = np.diff(xp) / ell - 1                                  # each bond against its own natural length\n",
    "print(f\"strain in the inclusion (own reference): {100 * eps_own[inclusion][0]:+.2f} %\")\n",
    "print(f\"strain in the GaAs arms:                {100 * eps_own[~inclusion][0]:+.2f} %\")\n",
    "print(f\"du/dx in the inclusion, against GaAs:   {100 * eps_ref[inclusion][0]:+.2f} %\")\n",
    "print(f\"displacement at the two ends of the inclusion: {10 * u[15]:+.3f} Å and {10 * u[25]:+.3f} Å\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "25931648",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.559691Z",
     "iopub.status.busy": "2026-10-25T17:27:07.559611Z",
     "iopub.status.idle": "2026-10-25T17:27:07.619578Z",
     "shell.execute_reply": "2026-10-25T17:27:07.619172Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 825x572 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(7.5, 5.2), sharex=True)\n",
    "ax1.plot(x, 10 * u, \"o-\", ms=3, color=style.OPEN_NEMO)\n",
    "ax1.set_ylabel(\"displacement u (Å)\")\n",
    "ax1.set_title(\"A clamped chain with a 10-bond 'InAs' inclusion\")\n",
    "xm = 0.5 * (x[1:] + x[:-1])\n",
    "ax2.step(xm, 100 * eps_own, where=\"mid\", color=style.OPEN_NEMO, label=\"against its own bond length\")\n",
    "ax2.step(xm, 100 * eps_ref, where=\"mid\", color=style.CONTEXT, ls=\"--\", label=\"du/dx against GaAs\")\n",
    "ax2.axhline(0, color=\"k\", lw=0.6)\n",
    "ax2.set_xlabel(\"reference position x (nm)\")\n",
    "ax2.set_ylabel(\"strain (%)\")\n",
    "ax2.legend(fontsize=8)\n",
    "for ax in (ax1, ax2):\n",
    "    ax.axvspan(x[15], x[25], color=\"0.9\", zorder=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "efd37f6a",
   "metadata": {},
   "source": [
    "The displacement is piecewise linear and its slope, the strain, piecewise constant. The inclusion\n",
    "needs more room than the clamped chain offers, so the whole chain is under compression: every spring\n",
    "carries the same force, and the softer inclusion takes the larger share, $-2.30\\,\\%$, against\n",
    "$-1.57\\,\\%$ in the GaAs arms. The displacement falls along the left arm, reaching $-1.329$ Å at the\n",
    "inclusion, rises across the inclusion to $+1.329$ Å and falls back to zero along the right arm. The plot also shows\n",
    "that the number depends on the reference. Measured against the GaAs chain, $\\mathrm{d}u/\\mathrm{d}x$ in\n",
    "the inclusion is $+4.70\\,\\%$ (its bonds are still longer than GaAs bonds); measured against the\n",
    "inclusion's own lattice constant, which is what decides its forces and its band edges, it is\n",
    "compressive. Lecture 23.5\n",
    "returns to this distinction for a thin InAs layer on GaAs.\n",
    "\n",
    "## 3. The strain tensor in three dimensions\n",
    "\n",
    "In three dimensions the gradient $\\partial u_i/\\partial x_j$ is a 3 × 3 matrix. Its symmetric part is the\n",
    "strain tensor\n",
    "\n",
    "$$\n",
    "\\varepsilon_{ij} = \\frac12\\left(\\frac{\\partial u_i}{\\partial x_j} + \\frac{\\partial u_j}{\\partial x_i}\\right),\n",
    "\\qquad\n",
    "\\boldsymbol{\\varepsilon} = \\begin{pmatrix}\n",
    "\\varepsilon_{xx} & \\varepsilon_{xy} & \\varepsilon_{xz}\\\\\n",
    "\\varepsilon_{xy} & \\varepsilon_{yy} & \\varepsilon_{yz}\\\\\n",
    "\\varepsilon_{xz} & \\varepsilon_{yz} & \\varepsilon_{zz}\n",
    "\\end{pmatrix};\n",
    "$$\n",
    "\n",
    "the antisymmetric part is the local rotation, which, as in Section 1, is not strain. A diagonal entry\n",
    "$\\varepsilon_{ii}$ is the relative stretch of the cell along $i$: the edge $a$ becomes\n",
    "$a(1+\\varepsilon_{xx})$. The sum of the diagonal entries is the relative change of volume,\n",
    "\n",
    "$$\n",
    "\\frac{\\Delta V}{V} = \\varepsilon_{xx} + \\varepsilon_{yy} + \\varepsilon_{zz} \\equiv \\mathrm{Tr}\\,\\boldsymbol{\\varepsilon},\n",
    "$$\n",
    "\n",
    "so a uniform expansion by $\\varepsilon$ along all three axes changes the volume by $3\\varepsilon$. The\n",
    "off-diagonal entries are shear: they tilt the cell edges and change angles, not the volume.\n",
    "\n",
    "![Slide 5: normal strain, shear strain and volume change of a unit cell](attachment:slide_005_crop.png)\n",
    "\n",
    "*Slide 5. A unit cell of edge $a$ under normal strain $\\varepsilon_{xx} > 0$ (the edge becomes\n",
    "$a(1+\\varepsilon_{xx})$) and under shear strain $\\varepsilon_{xy} > 0$ (the top face slides by $\\Delta x$).*\n",
    "\n",
    "The cell below takes the 8-atom conventional cell of GaAs, applies three homogeneous strains with\n",
    "`mechanics.strain_structure` (letting the atoms relax inside the strained cell with the Keating force\n",
    "field), and then reads the strain tensor back off the deformed bonds of every atom with\n",
    "`mechanics.atomic_strain`, which is how strain is extracted from atomistic simulations (and from\n",
    "NEMO 3-D). The exact volume change is $\\det(1+\\boldsymbol{\\varepsilon}) - 1$."
   ],
   "attachments": {
    "slide_005_crop.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABDoAAAFvCAMAAACciFtoAAAAwFBMVEX///////r+///8///5///7//vz//rf//H//v/+/v/+/v7//f/9/f///v39/f38/v3//vr//P78/P78/Pz+/Pj/+fz5/f37+//7+/v5+/76+v36+vr5+fn4+Pj39/f19vb09PTx8fHc8eTq6url5uTg4ODZ2NnNz87BwcGX0bJXwYqoqKiIn5IjoV4Oo1WNjY17e3thb2heXl1PT08/Pz8zMjInJycbGxsPEA8JCQkFBQUDAgIBAQEAAQMAAAQAAAAGC5aCAACq/UlEQVR42u19CWObyNYs3n3JmMQXx8N3WTtIQIIyoB2Q5vH//9WrOo1sZ7cTa3FCZyaJHVkL0MVZ6lQZRr/69cUKDcM1AkPdfcPhb4Hztce6230rJl7b7c9Iv/r1MpaF7RrdfxnxP/WVh4W+ZRi2tzUIcz0DT+71J6Rf/XohYUdgm9bDHeuqT6KQh0GH8rf2NhjmKLyX/oT0q18vJOgInFDylnvkMOL4K4mNUo5hWlt7I8Nh1J+NfvXrBa18Pp98EmSYk9ki++JhyXQ+CV1za8gxm49N11b9+ehXv17E8qykWreZdV9zMNJqvfwi7LCTZT3bYq1j2LQzKZX2q1/9eiFrsm7LhylMuW4nX3Y6kmU7V9urYg7qdmZFfn82+tWvl7FM28jaajG8+9px51Wdf/nAdLmemra7ReiY2obTnxDjDyqzoSjOQhtCXr8rqLmGZ36lPo8HRbz0kM/aply0xhPuMnbgy5VlSy9x65V4XzMNjFDh5Rz8Z/gOPqeNFqUyvF/fQT6eOwCTwdHNjC+Pl2UZpufgsLIn+h2+g2MaTzuQnyUs2LWzus1dnrgITxVlVTtT/OS+tGoNCTVCE1HHVBmWb3g8eYblSCNVfnfkR0PPNu66q/iWbQsTJHR4ynwzso34YTkWX/GywTvHi3lGvG6njs1XDPWT+HKKA8O27ggooVw8kZwU3ZThGzb4QpZ+SIinG/BlTT44Ng6ndML37jmWI280UHifDg4ODor1Cyfvm3uFe5LHxzO/s3F5Re83QbT5Rg3299zvEYdM07X0JvGNKDRwDK2nvG+5kFzL15/a2kH/3+0+SMC/4zTYzl0f0fGe4ZA77n2P4yt32+57stc85wcY9Cunz1Bl2040RuGzmeO6LQwvwlcRnteO9TbfQIfsWN/nH5YNGFHSfDFkFyjd1I0BL7wmPTw65s9vtoZn3zdoWDWJjdgJ2PHFUw7r1VxeyCMxLLBxpkMv5NNYvitXiuXyn/Fsim+L20/er8X+MvcAn1F1eBEDQAa81g4HOxy/g2pP6bOpr+H7ffNcYaS5uSVs+H3fwLLwAAJey3VMxQvJ0Fex5frOV7c2Ti5pigE/HDv4TzlqruvyRxxeqtYuPhju+vgkbsDL1dH73HY832BUbf86WlsmjoQZIIDxvw63Gjq4A93vXgJ4o27g//zVFxl+WrXVwOG7wB5Vy1U15Gn0s3I6r2bFUFm40d9FHXlZdFzTpChzvLO4KHIjLWbL+TjDGUqLKf8mqMerIC3ni/ksT2V3P/gcgRVnE/zTeIS2r+EOW1Rhs2K6WE7ygVwZFl9hslgs5mU2AJKY/rAsB1bG5y/zCG+R0BKkJZ5+kvpJWQ6FVOYM8+l8PsMPbZOH8jP3It/p8MMwlS0BtB9u9s3zbUiriymC4HtlZ17eTujtNeqQGwyvbYaNJmPsr74dcoytuzetb0TuU5Jb80EusYOUmHdd09Evh61ied7mLfAKeJ4AVt+9uesd+yvn1jQtuU1734cOUxm/EvNiBxrT9WrEKgfTz7xtJrgf2MNJXTUt/qsLfDvaQMdg1kphBC+YL9sx3vdwvppk87aq2nZZGtmybduqrnMEbXZgDCbtqlrjSWa5Mh5Cvulm07qpGzx4ljARwZ/5nD+7amcDI1JAhXLRNjW+07ZTIpuRN1U+wvM3eL6xMiXGKZZV3eJBRVmviFyelc3wXvC8q0liHE7UEW7AXYVyw3esB/G0ZT7nFrYd00QmENg6JvvWHQOHat9YygSERCJXblsINnFdfS2C5iNM7EK8acFc/5PM94crZl4d6gh6N5xD7ltWaLi5ffzN4RtXOiCwn4lAybkN+2ulDCKXa+vA3v0OdEjwboe/UquyjXylG694LX/SVjlLHtO2XU+L8QwwMHkQdQwW7WLg2xaQDUWRSWib8bxd4L/JdAbsKKp6Nplyy8coCRmDadMup2U5r9pFwcLF/QdJ67pdjotysWrJIhm0hInFeAz4WHLTG4Oi4s8W5ZzPwYJJ1raAhdlksgB4FMyXVFG3zawsZvVq2TYZN0verABh5Rg/NVeDA4o5lGnFcRDF3f2IZxhB7N2+ebbaI1IjuysVKes7F5/p6th/fysw/DAvy5Rvw+eN2TTxZfY1jAnjoiykamY4sVRNn4DaZVmwQFeUpUKV1dxFfGlYGV410EEBt3halrnO13+91mIyduETohr6ldKNvQk9B6EVfuf1TP0s2c8jP15luGiqoc3Sop1Uqzk+cThBxyPlvxcLYIlvbqBDzZt5zPdrWdmyGTuWOQQurEqEgkOgTV0hujBw40e9BO973PJZQolQFqlpuHfXcjqr2pKICXSpitiMEbUsi6GFPGmF9AmXxnDRLjPFWmIO4ElwQLK6WS9zBjqozswJCxngh0AXjhB6NBnOWLqoq4LXC95NPXnKFbbdhRveMC+Rj82nZR6zIsGP+nDfPFcSICkQjmvEv9vfi+J/5bp5jg2GbE1NV23OezH+jnNlTRjkfu1jJYv1XLFImiA9tsynRB0xrj1clM68XibuLoCDQUdUImQH2CmN0UZet2Ml+eEvvwMdKGBTjN1vlZYZeETDMg+/m7Hg7eBtlb8wr4o3UzbrghGdERbrms+FiGKe6+sO73GugnvoYMIiCJA17ZhcsUXNKqvHw9O0pYcbqZlX1QzpWNI284Thk2EV+Cf7wVHjC8QDbJp4WLV15KTIVcoAT+M7QC3gT1wAkKRwZkTjdYN2cYCog21jAPlgvmoyPC2gKZdCrYEQpc2QFRd4GhUyXDOBX5lxMMvK8X5WTLYQVeXIWXh51Xf75vmuW55RO07KLIi+c92wv1m062K/CYvpTVueWkIBg3pj0jajL9+qbZuD5Wo2QKyWTtvSlDj80YdM4c6DBDGatXW8i9qOw63rl2uE04luChuyRyebEucvYwev+Lxej1n8ccyvd2BUMsPtGy2E714rRLSffh9SgkirZhZLt3NWVymKUEVbyxlCj8SZ8exuoCOer4AGqFTbSFiaMbrV4bytMylkD5tqmUodJ2nJ0jBKPAtrwRErIu0iju7vglPuGl2iKWcocMZNjZ+NWB4tVk2J50iLcaKbPmHZrPDgKG35LkPWDSStQpZT4+zYCG+CeFkDKCzF6KarKeR49eBgoKNARlUtprP5EiA3z5nn2wie7vfNcyUsBAWVLvDM0fe6EJ4XjOpVuccjgqjaVCizMWy0NBvBmbTtSHDNJTY4XWyBy21YTooI2ySXG4rOOiSqYlnHj7pbbVdCDO8PJ2I6FP4XTHRmuhmwi0/GqxrQ0U5wueqtna9X40j6Wp4u9UnF15VPEUtNDu8UFYpQtxkduSb0XZFFBenZ2K6ucUh/GgH3GEes64t6uF8zT/JJXsBOxgHCzbrQLfpYEy8CHFZyHxiVCqIAutPJNGfRAxGgEeixeb57/zEZYSTHO562Vca3iDc0wYs50xUrB4Z0RxkwGA+jjoEjdaqsWo09DQqJyf4JUoxZzEzLTOoGtHLc95tkc+dD/oCMxQcvhl3Wwaypk64Q7bDBHGM/yZGxcJQZRFmAzpjlEeyDadXmSBgzNpGlrGiUjHPNDLVQqRU4tjlBwmKEaVPP7K71mDT1/GCQY1ihnpSZSMCG+QKIF7PaP17jU1g4lRE5GIG+Y5mfQYEih8ZR+szKtRUYDovbugSMprirrzetvcLr0DE0KLHWHzjyUBTpbCmMWZLRsPBtZJNJLk/peXrXoeEj1BrD3yd0hFovxvY7FAh1B36o+GFxPyjciG1a7psH+YeuKeCnYj0PjudQCIWxPfYFHYgx69yMJLhyEJFP9It7YcgUxvR5/pRsMke4W5Yv1DVpe2gaAi9jUqxsBu6hRJToRposSjoI2zvo8LtYM5QLweSPeshqCtzxmQTyWCrWarsTi+pa6LPRrYhPKpJrzO44FiQc2bItg0d8yoDPOmpxpzcFK3k1WagYJAIcuOwyRNjmg6hjEetrHG9+anJwjYHZ59DRTi08tm0Xs9kcv3CzXa2RWzhS/kVdZNHOEyY5kUfAtBxAx8yx5VAIdITCNEzzYjLjbRodG4GO8QY6GmwNP18hQeLhRiqEzQKwy1FtnaE1O+NvTbsIDyboWIHdz55GIEdsPeKel4RFx7hovHgUSuE5NKOYsVogTAeeAr/DeMVbka2vOb3ZY2G+4CHAWEEWX6pkoOrwaBtyZYTCxrQl4sMTiLKB7usptnp4y7Z53WDThWQQ7Uo25ZtRhyNY4bGy0QXGob0hdKABWGjSFW40diBKMhEvFlxaHY1nIJRBpWUicLXtCzoadgBSzVi0dMJid2yeLo3QsQaDJ99VOiKPSNiwFT+KE20yTk+6JbxJ+JsbvncPHUKNNAZdGopwxvNZHy9WbJvKq8UST7imE7FqKzQ8V2hrMaKTkNxPX1R6AleXSaw7etAP4w7HGGBCBUV5xf4J3yDukVL7Jz5mzWpq30MH75gS9KBMOpWZ13Y+/BI6JoGJr5Hct2yUrth0ze8qu0EC2NH0L/0a7LDMTEuIaTrqiKxBgailatd1hYYsoMPJ2uYT6AjLqi08X8dWKHJkCr+z4cuaaY2m7ro6mObsjPkUI1I3iPEu6wVUUvgpMt+00XTxdcCNcFO6jxKGSj8Rdx0EakKlHXh3yT/ozf5dsd6S8pL8hZTJ2JFUcZ1pykQk0YofOIGrOtotOK24QKX/wmfBjczpguYuT7bt/UIHwvE8IUWoHBeZyQAJEWaWgUKYIdycZBlZdfhgeGBASqTKyklZpOAguiHjTTMtx2WR8faLuGNv0DGeEi/0S6L4P2Gbh9s0y/G5wF6SO7uVprny83EJ5lOWo1iA9z7OyCuIEvwtF6whJzKORyVWkcTcsxYrjV3Cwv2Dq8pIRjgKxZBd4CjJENKOsyyyrBTPhuy/UNJwG47K8aTksRGxjRz0pzAyeHCNjE9PwQ2TGGT/uOQSyEcYo2Bhe7hpY9f6nrFc1bEuXLEg004fJCz1chAI+S+valZ+hvP1fPCVqAPEc7DLxjiJ+r9xmXRoi62AZ5uxextZHqMeKxi065m0qjvoQP0UjV1s/nk5ysq6Qc32E+hgQO7iVs5HIjpygmLdADpG2JSlfjVZB5Ow4CqKTdwNlZ4HQoiFTzFmTKnQkCzyWF9ijlDt8ObzAQHBwy3V4IbBByoSZLF2GAa8FGL8TAZAEGYUrxVvWEzwvaHcgJMMW7DEdYMrDNcErhtNszNSXDdj2VMSFPMfMTWSZio28C7KkQq7oMPcI3QEyk9my3EyIUUIXf8hUTRdVFPfKKualWYUyyUskfDbUMUc9wrcKiaZ0OtsMnvQtK+QjpkI2feWsOSIDBgj8Rzm62Yitzgnm2JUHXfTeQHOIt7XZDVJZ+xNpvGiHifjlsylReYOcSxQwJun+h6R47PX5DQtC37HfAAdPnnbRlLWNeLzVc0s1ChYasHXmYcqcYkGJzJ53ERyVCZaHMN2UcYMR/O6GuMyGzZNnsxJzaqWRaxv7+6PZ3U4auKRpDEWUkcqhad5UyWmVJu8gCSxB2XSZjEILKl1IH8AMxi1jq9AxwoBiQfoiG1fs2ICREaSt7Es4g7mdTWQHJ1lHMWoYzXriOU66ohLckESKdsw/GYhpl3dQwcTK7yDKUpC4C7bPFUZHtKAAsJaIWdjAL4HQyed4r2zHIW3hJ5YonBbCVymo6h8kEw3yw195wdTDtd9W0/zbmpnCKoLQjac8Zk0jNQce2IGmt1iGHaFwchIx7xOVjW2D74aY3fhAqlTY1C1I1w3q4obsJgx9avb9aKQcB7YXwJ2s3qF66aW62akZPRlJ8ypb5dJ0UFbz8csKy/whifMc6NFvVAhQaKtl8t8w6s0ceMo8fmWs9lSiABG4I1AK6rmM/zoUko5+4MO3uGWONMoyYA6NZFMIZ+jBIJ3hxOE3YtEZAp05Mlbxv4SHwM/QSScJ7NVJXTH+ZChOPkO1Xwy5bkck7t/n7DolDZCY7KaTXmK5yhbaqrkssq8CBfFgqzJiXJzHpTpdI5jtSik8SOxQpQAd/HN5YIs0FwXKh4RdXAwwDQVKhZqCHiQ/ax0B0MDD2LE4p4ShlpH0hHJAB0IpgU6viiTAggclElX2eZQpsNYE/sEKNWsxoXNF7fMfDrNNtBh30UdzoK9VeSzyNRwaAEdVtau76GjyV1zyEl9PYLnTvlwHz3euSEZLk5XOjicEZYRro0ykaonsnOgB2JQQMcKicxyvuSpTJhsGtm8Wa7nE1xZoOYioVeDCX5yNpviiquIHWa04LZqtb5JqMvhIal38ylCm3aWhkbJ66ZagsYQr7vrpgwDbKl6iRYPL64R8+gR2TeAjqqaoJ60XJK5i6Nq7hk6PIWrjHfJXIUpbiC4EoMIGfUUvfwhbq3lMNGdia5Mh0NVJGaEtm0zYdi9bKsyscIh6II1onu1L+hYF5bCTp5IaRBMxQk/MVv048xFaLlk+xEpLLbaalki0jTcJXB9kqkBcQKfNw09hguc9hhMkX6kylMpkly0Ii3hcm86LKz75MzkTEdlgBAQPtCdx0kfDg0TtBYMtBY5gpFkjnZ8MojwLHLBYUuBixEHzrBFkDJN3SjDNpolj+TNmN0cMFqied7qUNBQ6IFNBpL0+gPwMrP7qGMKohbAARkort+x00Ud1pcJCx4DssV4IHU7Y4jJkyzYVMKNYNzUhSdZrDNlc7eDjvtaB/ojS1e3inBLXI88NlTuoQOVE88Mps0yd4WajCPJdxnPeKvhAK0R5/VyfDB0UnSmECdMR2kiGS6K6Q6bs6tmVcZxkgEqGJR4yRJXwNAZxiDlk10XMAWbp4MoZmMGNAw7iIE2uGcUk5zVNF2sQqFnnJp+nE2ZwhlDhL2rIsYoUlxzD+LBmZGiiY7rJowznLgZQRXYX2DAmXSZdpIEilfsdChQbO0z6kDFZy5tdyvmTWwFrpCRLJrZcHNx2FKoYeMx4OW3HJFHgFAFMbOLeyCThIilSYCtxYb9nqKOwmWdsGVVw2frkrcNRIdIXMCI5d5fDrE7SKTMdPSIAHQ+YP1yhBrfBNzrwC9IvEAtAttjKOXfmLSnSFPCOujgBYXdiHsxZ0JJtCBhCtdEzlawqpr1POYwOfIHJAOm1vxjS9UIZUs5IFMg/bHZJmZrI3M7wv8PPqXoJVgOaKRNOUHU5DAIdIZEO/mnGAA1je6gI8TJLWz2V4HuzSQ0NHTYX0KHIzk9Oqa8K5p4lpkcH1Mm2xhvATxZPGHiH3vxWqDjrsPi4NtVpHs52GG4xqUX+6BMisSW2DQbsHU/ZDyH3J5Ni9lAJnti3F7zw6GEJRPe/NEvnuapcnVfDjWcipwwaqbUc5w3pBotw1HsBBxeVp9jXE6pJMk2LpYpyf2gNi2GPM04jihtkBOEGG7Anhu6/fXcwzktV3XOohyYL+3UsyyUxErcjIOOyYswGj8+Wq3Z+cdhxf3PRYcmBdMuZfVjJ0eEHFqFRC43ZRID9c7IAClgxKLtnFUgSW/ZmsDfksVqBkKXla/Xpe4SMCe1NddK6WnJsprn7PvNDGlCGcGM19j+EhYQqh1sfXRZQhcneIIzhV22HESmfoQkC8GEfUN0UBE5IB4kKgQ+tp9wpVA05cdBHXiKj+ZKC6UQprZ5n7AIBcSZNk0mqn9OLmVkTwh/2GkRkhBUCs3A9DEXmgljMJAym+y1NWkySaPpUOjF8emdJ906TOZc1T0rtWClAaDPiHFBNQ+QjGZExhFveUNUc7G1K9QV1HCOdIyYhlsmOKSohCo3qeqpbTtgZSGYBK4M8SxMPO+vyYiIBJ65zdtrAdr5SobuPYl41iXuSLibTIl9KQBNqGUhkLsMdSmxxK0GD40R7S3KNCtxl1qxTOqSDT/NGbfyL4lxAII2yJ5YtghHC/Z+0HGqkKAZuA84AECEsyYroXMJIHHJLJJAN1vAp0PYocbzaXeCEFVOI0AGosDC/mSS0p+tccvBBDsq5nmKTr8nZWRcNwNUFTNyixxjNEW+A3IVmmO85eAKGkkmyuI/CMKmbbqB/Ji5IxUP3m4iYZM6Jip2DjcCYoyC5BSc/IzQYfLu+i3ocNiQRerKqIRUBBXrAIzd28hzOnZLuDdKGLQreMdYTzlVSgQ0pOQR6ZNn4XKeobs4WTeF5nQby3WVyiWD9GwpAbMD6Jg65F7E/IiYhw2+gA4cHVT7ChZeWRr0bdDPzcjJ76CjlmdlvxflcBH1QhpctxvowHPgVj/Tt2n36dARkmPS1nd7zSxZNpuz+LQYIbbmxMqUw40pcu/VcolSVLlAczZgKD4bSs6DmtwsZuhpJMic5FaLIKDB2PyC6XVsPNRiSHGDredz9L4rlIusmNURKH2g3YZRlRJvnikISjqzullMyLS3IhSVJ7rjzGRJUHkw5btGZj+Zy3csgYxqPsf+AjRZ1t6hQ3e5qHTkRVk5Y78ab7fkGeQGLx0pVsSz1ZLdOfTBeQAxOMzktWCx15OJLxs/jZgdQR16XA9U3FzGjch8mtmInCnX8UTl5A46mhXrdBJtKIY1CFNM9q7uoANHrGlmwimy3J1Ch3SCp/ruJ+1gVNInzDYYdTTzoaYWIPr6FnRw3+AJWAfrJKOsMMaVwVYTupRlyWTHMvdX6+Bxx/vHXxRnRUm2wOfr3oMTAB9wPqdrHWDgp/ANJX/h2I1sKQtCwTPpdBJQQHNiw/cz6NAaRgn7URgXzTcjdg+ijqWmhg7kUkuyvChnDEXuoANRx2ra3edIQn0adBgB7njV7P5uFuezBokaBy5EbyDDuUv4LjNoAbFpliMhZdGYCcdQECtdYjROSK0pi1oMy0NwM9AwahAJRMamqNPxKzk0i3+bsRvkIWSaERNAdiHRC4ZOaAgsGeOjYcVJ/5SbqSp10BEVTPh4gFQJ8FjNy3hc4wxwMjcdL/gGmyVFQ/bvJucIdpBwISIBw6xcrDnrw7yglAEOaYKjr5La4P+384KXPa778apBqoEPgBQ/BRUA5c52hlhXzZpl9oCVw0IppQ6a5aS7bjb3W0JH3cxlStdRcvCTFJwCpDfNw6ijqaeb+8Vql9BBujl3viYpye7vkATFeN21M78DHZbQ4WZoJNky266VnSYS2QGg1+hJtdV4nwkLpkYNSVkyhHarCYoJ7LuA0UOGmx0tCesu0FIHBYaNgU8OpUnUsdB6PcmymcixyrAdlhU/0xcJiy0EoGy2atbIBJaswoaWeQ8dGOGxOh5GMl4s0a5bs4l7n7DI4Ej3xkdPhg72R5M0CR8QxYYZLuCcJICAxPc0HerHkeNZZrjHpUnC3TtE6c/VfIVkqHsaYSYPdhBfAeTIQYjBHDY/mxFKcuyRPNFCDelwKNJkLPmnMlcdJvjJUYYA3s6GKSI2I00TPgdYYEmSsg3g2qYK42GCx0ixVXQDFGG1QEXhaaoOW1qQXaQ+FVQKCB0Y62MXpcbudx3dYnbBM0fBV6JKwAWb7mu2ULED5sK5yafswLTrNbY46l5Ks3cfnrmAhXsM1uG6IdnH9Oz7qAN0GUdUQFUUY3CX9RZeN3fQwRKSvjp5vTe7hQ4bdABgBTmsUu0OZ82a7zuWIUsEmPaPoMNmrmZ6wtqWCtJMOrUzqj3xV+HsrcPSjoTVDzgENLMBQujAecHxFea5WjY4kTgC6zSQ3MwldDieRB2rhd+piTfTGDfJEcvsTb2AgsUX0OFqA8dBASZMjetnjrPqxflD6EApyArZmFxXYIbMxsW0Xn8KHbNuAgpcqSdCh/BQzU9SdGGwCj2kYyEGGyVQUutJpSdFPnI2o91KKyTpr21Im5i6+RGZWhzLsh+OzsroTze3hO8DDkwRM1Vxp2ch3LcojDlW6uGeGTl6Ok6zNaTXb+RZqun+RjgHhJuOKUGJE2oos6L9Bx0aMJNBFpudgGrM61vCDrmQQIp0LHvWADqcMVQFOhY9/xsHypKGPjruUC5ZNqTRRRRbsj/R0FKb6wZ0jlkhsdhd1IFrAq1glO3DMZWbVpBYg7xJ8wl0bPJAY6dRh3DLZSMwjRKBS5CiGgYhHLIU6HCMrPpOwoLrRk9f6XEWTpBNqiZX6EgF4TBWZuwa++R1+NxTJIbl7LDg7ZeaRy/xUrRslriRTFarVCshEzpsYVfjOMyDTdTBeCBDtRzCd2nsWF/UOuTeoSnVSSZ9eZYVo7uoAxGMbl0qqOm0s1GeJrZ+exo6GIyuddQBMH96rUMT/j31QHSgm1AOmHg4mh7mBJ6u9ouoE6koqOiiEOKZlHHSL2j6yMs1ZNoyi4PvaFtb90EC4WmSndCnZUSeuOG78q04lsk9W2Z2HBE71S18mfP17p8kXGiJscCMsmWNBhDL9Jarr4/AN4z9lzpEcBNRK2lMYeCZouNoFDW6/JEpCYvN/hYK5EC+iF0QRAdKqRh9O8WptRmZf6ALxxaL7fj8UafTdhdzaE6l4ch104ouyqfQoZGfDIlpkSFSdMerO+gwSZfBRWiKoOaOoYNVOdSvQmNDvsdEJXoiXa1DJ7jfgQ5chJZTisKHzd5uUhQZyzUjXBDKFE1yYK+/xw5LJNrRBU+hQAen98bOhukE3Qkk5pOumWKZNmodMlWEhGWlx69M6OdMQ7YDmjIWDXPjy6hDbrO8bASAca+Bhp71oNaxXnhSk47ZkdClEW/SflLr6GqT+PGnRx2mL731B3GwEmK818kBihqcDEoYMXlIMh5xF7E4d+KzfheDcETWtuSts1QiPNKH4t88ML7Vjfdg72xGb1wtlxla3BP8TXPXKQ1ne/ZGXxLUW1wVJvU6pOBoD3lUvE5p0dRjMYZ9AJZQaCHi0EYcvbBl9MdWVuCiqTF22bGuc31Qgyn2jI3GOwOAUCQsgyhSXoitNUPjwCK/WqOjElLeQ4FJgH6kIkngRGQJnYdPEhY5Frj5oBEciX4E6XMddOAxKXr7lkQdu4UOKdSggbKUT4Mt5rto380IJKx1/LhMGvBNIy4fU1+b3Ws079HCrme6YWH6oxnrXfuCjrrUoK0MzmIBIlHkgDbenLdixt/FmgKdjoYO3onN5XopbN4HZVJCB+L+pUjpxVrS5AvowIFIyila7wI3MjjiP4CO1ZwDsVYwrNaVdom1h7NVe5+w2Om6/fkyqbSHHwjSkT4upQdTi8gy9jJ8md+W4MGWTRrrLEvQlTREmRlHguNLKupr5VPtGcfneCjqyuEu3oNFk8HcZESCJhLjO3qQwuQ1FXUcpS4bCmVSVIorGAdA9sdgHSmhVtx0tcCb9zTZ7O3VOjhggtMJaODBCBib2YC8wjd0MVPEfNGkrBAtoEk21wqEdpBNJyCqgOnDhjQKJR4uCbhcUKftIXTg+SHpPCt1yGqThUda/gY61o2QdE3qJM3iQM4jSIUPog6qLI2dfZRJWdYcohUGkrwlnSJ08ZDIBWR31RjDRNcaHXmSo0ILQnbk67h5IwQCXyvk4/wiogflwaFYIbUZXBBhpG9P1RhkClmE8TccVAShc4xF/EAi/NkIgLrJifqezSmjVI8W8E0hJCh4H40AhuBaK5lukjIpZkEBEDFTd0QdzVySOKl1hI6qOzWbAFiLvc3OTV2PdbQpuujk/2QUbqBc6GqMiB4cT6HGhWhRiioPOSILQ+MuUxfmU5kIbKHWUU9d2aIeo47QtKzf0Dje8bS2AWfUDTYsWyk6t+PkEPKTb9AmHQcUUNAqAu1bRE4MycSFkBoizgMiYUlFN4XsZCVjHC2L8SCulFp5ZTCXhEVBjWn5ADogxWAN0X+DIFXgCR8HY1V4Zg4SKGMgqrMMZISiT4UZi0w0NLLdboDB0FoGDPikbmsZO9Lr0Ok55B7QWE7iYTpkg50JqOUOZ9VCSvY2m3V0+iB08M5G3Yt02Il4MKMNSz27ggJfzVafT0YS2YxgvgltxoirGlPhtsGoYxfXiMimQBavFhknF3dD1B1Q5Jw4iNNBOVjnPsYM03lDtoOKJg3KpKHUSZdNFeqIf1ktJP12U6ijIVhFnFgihXedfL4m+8q3BVI9hi/S3neFJ8WaRyojGYaPVgmOlE2lmIXoMoSgnNUl2jGuIvGhgpYI5pdwvflBwiabrsrltZZtc9zfDTmYKynV1WZIux3RkWE6Zj+FgvwH+aZx7+EwAjwghgOV5GNUHRB0hKgRcoOz0BlOhfjIK6vi1vcSzExPE0Wdj+mQAj4chq1x47W1xONDHySXUcwko6QDpekZowszHY/SMz2S8uFFR8pisQzzV2uSfMFPQurrZ1WN7Em2VCHXzafh4faOimlpajYn2hazOeXxwXYMEKQCNxeS6AakukwiD5qzDB08IgmmdYq78TdPqD3oS1MPGz+N0hzrxfOxNLPnQ8auFRsXvOETOrwdXKKmJZTHglGyyVtcCN1t8jqQjkC5H1wCOIKA6yU1jgkZ5HgYtOCXdWWw3Rh6LG2KpAapD6As5JxtQ8ueIya6G5KLvKdU9CSJ53zCYjIe42NXU0RkSh8p1NIYa2hrE5a7SHihODgKIq6xuXug1jHrLL8YLck89m8HHZ7ratXvIOwqGdFgOGQh1QkO1naSIz+FHiEHPQ4N0lqYMFbH6wBP32XCwiQUBhKr+WTMG/CCdXKZKxkXTMk42ojaOOg088S5b7BYKOykGLbET5UYrKzGkFukhR906nPoNvI6QzhvuRyjK0eb6yb3XCtvhHgpUYe0znWJhFest5OonrrGGD+ai2EGR8ynqS6ccbhhyEzXkVoH+/JzDhiEnJMFj4cJVsg7KSOXGH0pGS3mVgQFPUBJUhw2Kijro3MY47bLvhwymcTdSWQK5ZsIUQdmWBzh2kmLGfxqVjmjkVwI9ANJRS6BQ2GeUMxDQIcScRbJsWwZ0Qd0mAwq5jq4no/Usl5imBaJyxgPYWOJ/ys9W0u+Mscs0br0JjgoEOqNqQKs77nxeEnGC66VHIx4XIMuYgxOvydatYtHc1Q3KBo6v6OFq0NZGinGKvAlVGelBn158SI1D/VtI2yA7Guz5mw7mPxSIFZUCWN52jetKXleGEJRaODXVKVgfsP2lJjT0K5mnAjrQrZV8qA3K8oVHMiEPBMo5YhZXJSgOHy9LhSEGBDnS+KajOWa5b2ZJDDJalasuOSicknSGm6JrNuG5o5UjeHjB+yIQZMDEWM2KbKN4mU8KkAUFOuNAYzC2GUrKCQPpeY4H08mIy31jXPue8JSxM9P80RsC4CBaTlFhxs/QEk2hFlFITNlZUGhve0nY7Z7LzdPKT9W8PDiOTuSmDcZwqJkBrUdTUyw4Ik29KRx74KOpCkKqoB2ilzs/PjiawhDtQVsQ4CtYC3JbEcJowIxh3B0lqTyMdgseOJOeTICjXDC+ftyRAF+nuABRPlnuBPhVouXVa7Hp8fm4R+WLkp279uzf0d/7cF4TE0HbzzWEzf+xg7QCv0DDDjuM2BoWWHmfTbOOWpA72Rw7hKMjvD8gx2necKQcZrMkYHlw0jyUw8WeLOpbCuoOKG66eGkDx5YYenOfpyXeGo0X0O5C3mQlJqgvRDSrcPW3SaYOWCHjfPYgvsJxoaowpVagYWeJkcsGaCKuwPemrcjH15gms8CJ4Yq4siEoCClsywtwyltMhYKhN5D+SGc52BTh7F90KpYatcZujeIN9QilPsiTmmQkU+ZVl//BPDQ1M+y9cBYD7NGvoTBlt25Ntn6IwulPB5Srj6M7u/taKqFOopGSdsUIU5X5NM9aR+QWotEvbPmFf1E/cEtOq+xKUDJcDypaGaw0ko360gfP92cd0ORGbTkSDGkUTIY3+GMFsU1MdgaBsKtM63fDTlwWSN/n/phGK9YL+6yFNfBB7bMQ37nitMogwGa715g3hX6dTPbsvSlJU2D0LRVrBk2SmJyN4rZynJxgQRdpyn8JPCXsRWQ8Myo80fGTTZ2QhHbtjiZznFtkqP8WKT5LN7Qad0betrr3BHkQKwPGBaFwd0cEYpj6g9tbzaDGnRIJ80CYf9puwCnE2zYKJjxENpO1wO0pV4s3qSaIqikkeDTgFhtpOmYPagdtWZlSAKnwuoM2OS2EClTuibaH1nOvicCEZRbkMjQocyqHoUzI82uj+RkW6BOibIATpsnfTUcBzsKPc2oQEszwHOh8mMDBND998zuLhqKma+rq6+mnG+P/TrdOQ3YdNDXlJh+Wfqm4TnWbjpRu17sJKHVpFA4l6MKuvKd8aZ/qG9azh3rM9jWnZwkbquO1oCXhrMW5bU3RUpL9rYvHHZyXkLlys6wok9qOtJUl+aKDQKJHwgG3F03WohU6wkqW/u9cLdq45dYunGEEW3BoB+3u9CNnXjPEr1OW2jIlrI6gUMqjuqxlK4Nb2stQX7T2mCqUAAQYtFWPdBcBKIiIEVIKvoGH+hScseUDowdVNJ12hwEZseCDPW5oE1yQD8DcYEDm824lz437E6jV8JUtbEy8OQEW7a/Oc/hRgUf4+nCfrDxNGQLd3693bxn2NkO+3LaXam2hUYniq9dtMVbYdMQEiV2TxSHLamYu78hdOAwpSwho+YDNS1LE+PlzonSqXm4dVIGzjjZke91FwSvHFNqXLbcK01bmzlKcsxTF3Yq16HIYflav1hmj+0HtT5xV9A0Fsbilm5fO5YWe9Yu8iGfXFSxO3auVIqoKQ0ujhQOXbn+cAu0xXDScS2jX/16fPSotJsDImTZkF7HcVb6JmnCKSncTLEjfJJvm8wkFXlhytVCs7j6eCfz+dXgvlJvGxvvK19rbgofMOyCTfGWCJlx6R3k03O5ExSTrMvnNor0d0B94/wyxvTnvA8HllA9TF2y71e/+rXjhX1LATM3YInHvNNx0kVv7MowkuAKN8DBZpOG0GgJ1Sa/E8oa765WLPF3HH1CiwolWAq78Ezp4g0U/hmUW2EXn5ElqD01Helwc4KNGEKbCgzCRebn0CGV6ZAJCzgAqr9Z9qtfO17ixIFti87RdJJDBSynwAacITKP9HhKIih/MBqjq5QaElLkedYVW/KccqA0n4FGVYzxNHTSptMSDg8PPT4ZM0TDbDzB8w8QwPio5kIofVBMJ2MI18KDAgI3Lp/VIWj4Sv+Vc+qwF5iw+RYZX0QdMV9cfBDp75Nn/ZnsV792W0MQJRpV1DR7wKzNuJqjPwxi9DQlsWBFjUcwfVcrsE5mIqkA1lrCOXiVN1Q3N2RUad3ZILQk5cyLT9XkAAzUcIWmgBZapHAVCJWYNABxcgZ3NDQQ8VORK5VleDhgOmhAqUC8rrCGpskX0JEuYSkVeZ3592ran8l+9cvYdQtARWVDVuIME3yazudNqyWIstjacRhBNWy5mICjVi9phVzWVcZEw8IEIHVTDe055no0hJiOp9Dqaoq7aj2LH/DagcT/dEJfgJIFPAcEfgACSZBQPJvaUQTJgrlkKVTbrTkK5WYkFE8ndK6opl8kLJxKZKjBDt64qdL+RParX8aO5XdtSsguc+VZ0PesKUUVhpQHnBegLoGUv+Q/ojmNQIFjwlohBlVPivuPMY7kWVNoEEKVZA22owffx1Zrpd5BE92KSgxE0kkGwzee53HIGu4PFEdbUdLEBmt2EereMp+fCIFApaB2OmSPyPb/HDrApp7q2gzUGReqP5H96pex47kyF5PfS1Q4QCZTdBbiHRwS7YtEjNSypSjwk0MAQvTYFyUj9mTgag/GPeIEKqtCKKCgv7eIDkCD4kHtwYNsPFVZFFgvmZbMHMBUKJWRiaxa11PwGQKIqrNAqhyHU1l0toViLwl6sIgbc2bwc+jApNQyltH/UVUV/XnsV792vHxRmptJ7wTDuPD6SHXUUbLt6UN4jMIRZCNAO6FuMYeFefAMux22lRPkLpzEBPKEmL7EUJXLDu0wT9T90w8wYzOLpHPLQVEMBofUTGKXF5yCcSP6JIw6FBu9WkoAoJKOp7nWH4toOfQ5dPBtrDDdALLLtAEO9Sfy97yv9ct4vOQrbuNCS3PROzB3wAz2MDfJcSib3dmh+IKYIcWC2WiFeCaAgowM0mMxJz0ShwwKak+aGYQXWdWYrqDPQtn4ClbdptsR+mSKg18VTVWGeibBzFntcKGtztGmkBJYdMdygxABjOmKAgGnstiYdTQhNwjicvWVqMOA8BICFYw/0CLb6a+czaiPoYVcHf+lfxRHnBZMvz+pj44CDBl86CZetn+pUa6PCrH6daciu+0RMMg3tMKFmMqQeWgHECErHRFhAXd+DnPIRYPNjPRjQlUilj7XmIMcOr71YACMmiwzzGRBU2A8hr4ZfPSmDV7Q5qCCS7tbS5TV5po5LNBhUkwc+CNmAhgsX40/hw5w0OaN1s2hBWG/jIcz7ZFw8iCb/MIh1fbCHjmeALa0JxHVkJ1oDLhUDkAZEhVHDzoJEwqM0+WCJQ/wO1W9WmgCdCgCIdi83rQGmiRNk5sAGmXmVKcDEnC6G8I2kIXIhw9nLbR/CybI1zDHpX4iDGIrkkR4YUOhYErqNaMOgRszbyg6CYoZ1HqlY7wGdHwRdQTiAFDQnmQN10u7v27ux1dEp9GXu89Ljvi9cDDoT+gTcBYj+ZhfG8SKBEulduEXMqUxvU4PYGe3QDnDwn5MhZIe1fXChYmCjO5o9V0qWGXOCNVT6vOmaM3yRzgjASPHulmhBTsd2KZWukFzFlbKswmoXVgz/FF48ZQ1kkheHs4Tk5AGFOu5z+FN08zEtZoK8OR0QKtgVK6/lrC4sHhGiQaV10nnvN0vfUgBH/FA6Zn1l7zy+WLUt86esoKkXCxgt5Lu5LChiQH3+dwWx1MrYsICuqc2/KXzAayqYj0bHgAzcPs3XYjwllBlhyBqihu/CzO4SAaIueGTnEJXUCkXsx2TzzGBnp1yY6h340aoEEu7EyYsoQiFI9yYYG5FQb7Zo52VrbXPUIVdQsOxGCSRsnIquX4OHTD3Rn00g+JW1VNJH6QrkUjgzJfL+Tg1jJe88xwt8xn0J/VxC0r6YD/Apgu8ijKO1PaJ6DhF0tOIOM4Prij8PEyRzBQdcio7ZloXHYLeq3ZEjVaKvs1XaMFEi9UU5UoqNUNlJtbxJZ2u55wQF/EuizLtpdZZECsy0e0WCVVbm1JMOWMOMbjOj0Ye7qqx9HhEVhwqwF9GHUpkGku4ms9Rwu2vr/sriKJ0+gLKoxf9Sajv3w82PiVMA29qMhqNKfBs76LUEVJsveNwoUY5T6VaSuignXC5akrMmLiITlJoW6a2SQHtZVFV6J16k9UCX8AuwHWK+XRITntAysU8FOigdkCY01LEkQm6oJjNQC+DMuJUabvRohHoCEFkHUqmDk/lZkzv97oauMKUd6btlwkL6iQurGlmMCkpLMuI+utmM1jg4QKCYXCBPHGev+gyaUFXJqMvYz12pSBQ4dZuOKg+ztIdXGqwaAMRrPQZI8AjQjxjFJ2FLPlnUMLmme63kiYq+hEZPOXbxcBns3UFCjn92iD/346U9n5F9kGtI7MzPYV8fKllZgBSFMFUi6YBNQRhDVCmmhLAFut1xr5AgP5NM4bty6LG/IyIpsCt+ssOS0iFOlhVozuUcnK3X0bHhEAKiO4YlOdQLJrGh643S6suLQSox51I5fEs3dED/Ufbw8f857DTzaTAFpvy4l5qdF9QgYR6XI48mR7TjjaOPsbBE7qVTUkX6/uqVeLUVEwyx+qkgdRnujxAjHFEc0az0PXCLV9qvLiSii4XcEOnN+5ygBPADktIyhZkVGn0AJQY4FKc57KZ4/m6Xs1YHklpk0sGF4hblXBS8WzT9gG9M+ycAuAMIOLNpdL11gXdiuEdQStFmgi1nK4zAlHzBQcNRuBtOaBYZUEl8QmtquiGAyH0inwO3bulEDQbNL9BMc3V/lSU3PGtb0s1cfDQSyYj+JnR5x3qU1p97/7fcSRLioZbtCvI9RObh9oN4vwiRQ/lBDpKu3+Jh6hFqxbcZ1yTYmAu5iGhkSjyi0ARU/RlYhFfizpHUx15usrC5atiH5AkKmuHjxxaXTXW42Th92gbgRGN2+U0135P+C0IH8Rk2DIVNyA5T4t2uovuVMLZU3piLIEHCzRncdXNxdbPpFJZgk285Fgb/ii0sA8vT3E8NtFnBXnMYhQQU8uerRQ8cBw/5KnENBTgvwBCIHyP8x8DhpopHzoX6zpTfDbqGb5RjauKJorAm3pWgtUBpjqSGl+8RaaUbVsjzDFFnnKAVIZWV/bLL3XIJ/C06qz1HToPRUxo47MoE61Z6UbKNh4kbGq2ogE2jzx8eqauiFI6hwodEfty4zm8JsrUNbTZXzgs5hB4zmOx1RZ3wKxYYAKziGOqNVNTMx5kkyV6CVBsEA6BFpqJqOSooIuOKvECKtLyEodfLYGCxGy5WExywUL17VPvicsfjX1SIWk6dxKWRuc6SdFSosp0vf3mgaNEZiud4N5OJ4cZjU3DgCYRG+UdNHyEl1ET7ljBUDSDqGEiAY1LJAxS16DrH8tzmLZdL8aZ9UkhVo04TscB+mnqaS3GUkw4mllBNilleYvZCgSOZlGkCwQXCEKLmbwoLLoT9ns8uCsy+EDC0s48YRlGLpyuQGQ1nN8hIYa6Prxa5kUKBcrvNeXhJZDw0FQTqCOYvG17D9OSdAXpVlEstoxFTfMiwztMWx5tRZzCk66um6audEnUp7s77R+q8bgSv5iI1RtaMLYT3OJK0WHm/axqVqiiZbEO3GEMJRnMgMxE0X5oYEsc2Mbhc8p4013BDA/iEv73gI6qxLBFgGlqtZjm4vFqR/c7LWEmr4X3jDEN7XfA6wjpnZVBLydRqDzOB6CHQeM/okuXDM07KXSAxiVR3KViNa0f8oLeZnDlykco5kYmTYQHUOmn20P2yUY2qVybwAgC/5JqrWbGnfAKgPYPMp41nMA5bD/Ai0yLFN3ZQgMm5nYnk3JE5Y4cThp+XOSZY7o+X9HVCtNiheUZv4FlletmYM1WaySM5b0Tw1cfCf3RDLcpmW2OhTz60ECFh8SkJQhCwemaEaHhHmbUEfI6AAaslpMCrmg0ZUW5zcoa8cujVV7T8CrjVFMDK5Ixun8IdumqlorRW1HM6EokSR6UJi3x3USWNp/k+Rj/VI1fRuutpP1SMVuuqjL6nomWJV5QalDgMDSLWZ74n5Ry6LIjctXsWazXxfbLajD6GeJNOCFKNQ796kgeFSV3EZiWiNEOYxV6+qtIx0ihZC7mRi7IF0cD14fWn+natv/g1qKVvtGtjZQPXjGdr1ibhXksUEscEsS42be1w3UX7IQ0tVb+/TRG0Ol5W523AikM6PNkIur78uukA0QSQErgxyKLvz+jIo6T+XQBBRVMDYmBgH9PhqiloynJPw0qXfNQQzLeHW2ppHEAAXUwkYOhEWLJlD9FLtvkMLCDy3Zb4vO4EJ9CwR0i1kOIQI2pZslSMG51ts7dqFeZ0742oOM6PWiHL+HCQG1wkTq+m01QB/wOi8/V910UtsJ8wjvHrGDceQeOebsW32Iq3+fkM2zfTscarpZjqhvTzK/lPUu8O8QAW4pwobuxDWL9DnKhyg5CuC0zwabJSDd8pr46ccX001MOHCKsrvitZbe16wego5l6XaEv8tiXwTB+pCdYBEUQ5bhuKN8JPVfUTZXRScgjcBdlkOA3mH4bcUIZOwcl9O+WfXmwLQFYJJIr8DemeWjcl8ToATkSJxP8KtiisA62UojrAMnJPJOzF2WUbpC9Px5y9s2Aj247wj1mRINLxcuF6k/cHZR0kSSZVqlS7MKHNdlrQRWullo9jK7ncIl3XgClLF2sJxoxvm+fJNvRZtaCeB8nHz2CZfkg4KRrbOdUZXI2fQe8Dg/ELhZVQjmTy4wkDa+7ufta459jSFaH67okJ5Lldy4YHEjBm3at0JKir39/7YuFhN0dE8AO7oKWEvs/+jCZaYMChksmeSxPvan8aAtOQ7sTaV8cYXmozjPLR4JPrvpIgiLrxdc63LG4F7tUeFbftX4NdbBHT7Q4hzJbIwOLd1GJ2Mf6d930Ql+O9mFmLFaxoppkGEoPv22HljlesX0v9iTT1WrEum9doRiKFF5BaKEpIYg5he220g1btPvnkTAE5fKJMC+JOrPYiaIckr6EIhjbIYzcOTgeblxxvhpxipWPJmkTKpYSsd/BDeJNFoICItAuoIPvFGRuJFt5hhEU6uv4kqwI9xxv0gm6un6XOPC9KhCyHG26IBV/Wsj42mara5Q9rKKbvqUvdtPX3imuWO7QBBSnfkWxL303VUyVzFAo7DS+8XUYOmCWxHttF5WKsQkKu2OE+HO0fFzXePluCjYZtvbd7cX7NtTztuPwSDMYVAi8ULH2vYeJcx4RfnwOG62LTU55iEFHiO29zDtjGmdMjjGEpBZJyAvAYdCEQ4LZ6rlrUgECMUaNmNwG5XmeOqyuOV4sKhGG2KvF2rJGh6GDfF5hNOsFVMHCKVnRji7206XvoYQEoi9X+0+6rtS7w0g3pJNi2mAMPboPqnC2S20H5jBhGe/kFLK2hCsQLZAGwWJg7JCcKUT06OlBpQeRspbZ8e+yoIq2SGHZZmlTnI0ZpiU+bt3wvBSNEMaFrqnTOZVxYmj5kDQK7aRcYkFlaPUlwzGCA035XUpKLbDmaM8uWCi1FeLeSEIrKLc0K1DCqBQloStKiFB3KZHk4nY7lx9bzOYVyl1yU/F4z6Ep5hCRBxRyMXUNPUz3JYQdADlYEieGiOzpvQe1Hnsz1EmXQ+1aYmotBXSrxYN8rl0KNtCheWCoM9qGni0xts0noPBwNsXbr1HYHso1t0PomM3HP2X8OJgt6+noN5L4weRPNZvm5t2xsOjebvna2872PKuL4jRj0g9hnT5rWOworAfFkXJVj+hrzFCNUYcjxI6D3EDY8aAENE2nybBCmc8doLhpdGbUabUq7ug8cF811BD8Q5Q8KlIBoWrL3j3mtHNesDxu2nl7Kd9fL3A8U/MFVNA9xAh4x3XWOQA7X0yZ6bBMx+ZwORrk00rO+8B+2ELK1yBdUxAcRwKJ4A46LGLLZqphmqaiC8iKZWjvMOFF5On+hCLSYJBGxm+ksyFUBZb/wk+UWiT9M+/0v1haDiPG5SnpNmyx+J9QJosWBYJIMjhJgnzx1zrQWoexwIRUWRTyP35lRtxUczHL5SesG4EOCF+bUs5iPw79y6yu0Mwc8Qf4U6VMCDvaXhfK3LDpmE+KDG2YJjVeQJnUyjCdvpxNhxsHM10uEP9c+y7jslAvYA00HIznBNupiOJYD0rqKRXC/Yjm13YpgLqLtenwwEOcqLFD5ZzYM7rZhCeDBwy/f6OJ2cFkhdh9WmgwtTs0tToLPemL8zryXcEJlWO6TSJWRiDBPYaaIuRqG2JqjHEorfV2kE0WhuccqPTkvurwjhvBjBwkP9IUQebKV4g6HExJLIT2hcex5+iZ+M58IKbUntIxGnjZvi2wOqVd0IDyDQol5Exo+IeeqmKiq3Qo3hvyZNGZ2KOLtMdGLH28XT21YrFHQXMiViYHHN6J7YcbAFzJuVwkFLrYhRTFhoJhhwGrj6aeSNplgdDsJmmeSAqQ8O33mXsb019CgSPrKrfb6SY4QJH4kQPb0ZhytVO67wxRz67rapqLnk/8sBbI8cGpS6jB/WfRcJzAPtDuLCclpZVMRiELf1lCyTrKQHViC6h1GHY0o8C+L50lhFGl5cSiJuMF0pPP0lRqpJHIRiRNO090wd6fscMSmgd/5nPdfLaju3uF9UkD++7eQXfmcbNezUYDM9Izn+aDNr6DUdKBnHcjWHzSdttavGR54Ya54YZdw9bd3eyG82lL5tHXnRn/TgPZQ95/NXuBEefd5WIancO3nBhHz8ehnQcKJgIKP1Kf3VSteNEs2CZ35Ta0iA73ILGfAGb5bCCUahSvwMOIFNoq41BiCXxjPdLVm1Lsjzk+Ceig2m0z7npq+bKaDEkaYL/Po4nP3NDGxnjq+kU0Z+k5oM2cMfOHVMVidSuK9P9oT3qOzleJlGqymIIxaOkw0yQbMHxQ5qI8OYlUULWYbP3+H3YIh1xS1++lJG3tMO4Ibd0OftrSE4K/j+jtEPn7QPYTN0HkShQP1r0kIxIKRsK1lf5LNp+T0x8JzDjKeTjfhpCd86ZI5uxClE80Zd84SL9jSGKjnkeMNC1ogi1j0xpUmNwiz5Az5Bx/Q8aCHhI/eYxqEJwBMV5dgYhEkYhQgceOTSJhuitz5+t5iD6E4ww5GplpTf4Dhw5aAMRS4c3sQZqRDqHSdIjqo2KfOUsH/PSIsEG1TzGpQaqO5elkxYse1kwQchF2whnJMTuIOniVOs5d1ZRZsrdTGV59l3jqdedJxPK7LLWs2iEZKnZRKGuQkSBnxWmmeP0AQVTCGjZZNJwYzvWkKG5QtqbMPYBQqDWRYmsxNlmmmnh7kPdemUwbock4TuDdA+9SpCeuMOkXmLMcijat9JbRaYR2UYZ5yFq7d8RQtJ4XKg7TSbOuRIbVkYJhAJXsZTk0lcoRsqDWERqH77NBHmYBQcBivlpkoLvR7ixbLgbJYkmibVFNYpk9+HG5DK4j0yyKIPkjjNxDWQwZ2T+PNw3dfj0rhCLrxygsTjtqZnFWzYeY+ZktCjUXcws7XU7VY5hvppB0JmkY0yK8dA5bZwCZFeRYmmq5gGIMdSoZRqJLDZNjsDzQgixcuqkDRdatiDLQBxCbKAF7BSPb4GKjKMrCPu9/YgBEiuViNoO89gwKuIUE/Ye+sONb0lowOjtk5xl9pjkBpKjnMFWraaUYPUKTBrPlOPWrBcagcAEcTlNaM851IhP0tlxbuPdMZTOwfF4g66jGXlhUs0E4bmQYveS19IjgOxSdOT4T3WvSA1c3wtsNEB+Q27GeCz0DMwZRge7jqlrmGecMnNCK4nSCnTUvk1xkbsEmiEd0PJaKj7EpmLusibqITVbr9WpZRmAbzsIXofXDoUf2W3GmA6+sZv6E8hLIueoSpauRpnT8sIYQ3OljLHni3cMSM0oGqQjH9GZrW8COScWzXk1S21ODZZVni9WQLFOmH86iGtK3xnoMdtAQp+XuOfDBUT1yCayDxENOZrkUdfAhY+gt5BDJHgzD0Ojkf5KhckQP29au5kP5qUzmfbrmNYEImV1GgohcrfHQN2Lj8D23bH0EUtn+3rSddmK+ybKayryfq2XBfmiXZ9iJPFN0SIgpY4npcjnW46z9Tt9CyTAb4bR30lbZGnHDCH+NZ1XquSnYPtqa4odPRC+udHMBHXKN0OlGqE09/CQzTH5w9y3ZMa7pmBCSGXYpM8bfUnejqKjI3sAnNLsePbXiSG/sbs+g29rGS5ByMe+ZXTH9AqAtwBoVGhgOukTTgSP6FtZjiDIifKEOLs6yIztpVzOXNIHeMen5NxI1eQI9IMxe+ZjjGgNcDgW41+EY5pjepx3/b0IQn8ESuSk/OGy05KYIZVKjG5DEH6FWSIMBsgi7YEuVVNo2qWSBWb96yPFpNteU0Dc8UtQl5nBY4Lcpy+CrUEs6QLwzfgGnPtIiFwOjI2qAjqP0TM4AvsrWYydDnK5Hza3qHlBpHJV8DDHWDdQ8QHzrq6TbcGfWt+IwEvZGLn1IRq3t3I+XC+4UO3zM9YN7sq3pmbZ52Ik+1YllJNZhl0+obZZjbGSaI4m/AhNNmFnKKhtEsNuxryfaKGqJQ4LqhpC+TMsS4w7H6EL7MNwMLBx8ck0dG2lzGjGdH80CWeuUJI6A/q2ocZnSA31M9PKZGsrB3CNompRlXXWrX8ZzUys5pCKUcl4DgzkMd1OJNKZ1lovp7qPsZjzdt4WDX2AYB+1PQ+aTqUXRTdFUkPlYsIu1NINjaP0em9LZ8wkVrkm4Ff0RIYC5QpEL5HAROKgWR7KDp9lKkt69DJ+NiJEipWjQSQ7T1TybozcEffhiNcmWaLDg8HiP+BxUxbA9U5DmgD63L8LTdier00PH89+BLVOr8ngeb5yTusyrhRBm87YcY5DLse3H3UHtTbRhefZvUkCWHswKnhrpb15nU1Q8yjngNwQxB/TacEQzHVdkjV7qYv3ajLy4Ux/EQGaYJI7mdMoNRHxzglB0ipTwcxz1ZTPa8yOtMcrI1I++vLZtpXxmsMCp8A80dbN0l60gP3u8ZngOjnpVzf5oV6oYKsWz2aSkIr/923b3RMIqnqwm2DajdhYRRCwLhiElt5b5Ym8Dkj0n5QQ8RjPGH7BEXlSLGdvqDsNHkb2zId01TnW9OING71c6Y/lkAlJxaDHixN+/GO/Lx3iKCResX8bJn7dRQtYAEbEiTM2ETugHZVUXxp++woGKTON3LtCbHGLJF9Bihr7RbDkqljN2ltLlPAvUS87FWc+mpBc+RFy1Y7L2SEOYZbpmaolvF8Sd68mAlXIq0OZf4SGAJj2lsDPT2K9NBoNZB4oguIMNXVl+J0WOxy0OLxnDcVvwk4+WS5ltED+tP3g5oW9yJNBmRfW3jToiX6csphIhBTUIuu/K9HP4gtHDst0h6lRMoSEMsIb7UkFJ9xnVAWNxjvGFj99QLkLRIlKU8j5bNJkduGQNRzC4nVlfiUoQb0wQeiw5i/EnEkhiPUbpotNC7WZLpevyT+bgbfZM5D0QyP497xvoJ8nHjUS2I+gmZD3XdcyX/LkdPxyI66sfwq1L7GWjbLFeZQEtmALGJa5EFXNMM0HTfhaaX5PTwKxGIXOOVtF+zaHKE2k8y8/X1SL782odtpgSK7b3rW4sEsNeufWnl5BtypJAXOa3TliEwKE70xTfEj0SmyYRttg/v9jPBULHsIVjBPpHUIUsffGBG1dClGXcwT5agOscvXdFU9QsEvfyz58H/zT3xE5l1lZD90tvM0+bcGC0KVV/XivHtjcOtIHIkAZJUTaz4Z9MpOGukTxO+ka2+o378wZ9yTqj3DgSxwFKJ0bsQFsvmrCUrMQ3OqxXmKiQDiAUjibiwwKmrHZSQBe+wvxSVTia4vc5dIRTCLgySMmq1fhrZWOZLYf0QJV/1wvr962VoXdlWiKEE4mGVL3IjD96iV+iaVkHxVbYCr3D0p6KnpD/pBffebdaLzpjpfeJ1Dh9lEmXSm4BUQbOY2TKGL6vCUiQGmjhnDrpSGRfLrr2EFURnmT2V2Zl6K4Br8C68C1l/JmpvWkId9TgbSceFUnwG2mwkr5lclEeDvfSEKMslv60kUQYHG9zGa872gXR0t/dbC8tDd5JNYec7fBZZ9N8AM0Ng+2YbuFa2hnV7nqEnHjB62Ibil6jngCPDLMfA996e9ZJMBhMw1wK3ptCb8za9Vj06qN70ilMhNqZMoMNjDqf9Gj9IXQTmdks1nDmEWco6wHHTKZy6b9a0r/csfrj/jWS8cv+LKberLZImMuCDaBQITVPyOAgihdAi1XmYiOtC4+ZOHEgDLUJoWk5fLhy7m2N/XsDVkvbDrqbm7UQCALbFJap6WnFJFf/WA8d+4WObmiCqisJ1OzphBfr+8BG4qM7p4FFnW6KSqJKEhi2eTfOoGsdmB10wB6cZsYfSAj79vK93w5GfdEfCRBg2c7dCBxohKLjvJFFVJ7IMm8MrWTK1N/EIOIt6qKofAetrK8Fjq9YZKQ6Gp/ZDUPH7DozFtDDlkRQDwQhDQp66NgzdHTtFN+IKPe+HMnNI9J+Qw+0M/GobMV0BoJPCcMSXgyea5l3JzCkTPY8MUTmsJ/uN+43zY/8jI0XWRjElePSsdhXfmR6m/lzFZhBZGtRZ5MzbMq1lQcbPE+DQhBjIJMTKiaRxbPww1qTO9RHC0cqdJiWRPdcuztDJEkLvW7c3e6hY7/QoZX+CR3wEKIdIGV3Az3G+GkbRdnQI4ghIjnrdArtboKji8z9oq0oqhd4d0YPf3aucn9pm78PdJjinwDjMJghJPjl66wsTRJaiaWdvFmMr/mApKPEDfhP/PdYXyv4yQy/krSbMc/4VBl0gPUo3YBPx5/oWnXdc6daQ8tVWcon7qFj7wmLTi1pZZWA1jH1eU+g9H9gf6KORgGGOs9I6vBEoUJElO82SIygpMksaVJ6fdBx15OEYL1t/j5EDZxgG3p4cP+EGuIa7bTIgRJ4Ml/B+RjapNXAxhBxiKy2AakYV5PihK0a1/W6wXeqApVkW9lLOkji3xepA9KAymo8E37VY0rmmArqxxW6gbQm9sWkdL1aQ+0Y2vO+zIFD8pRSID107Bs6ZLeDLQoxTdgQc+zCEhs8MED88EGfxkqbejJulwOUrrQyieffhxcZNK5zOicy/41Uf9y1l9OD8uJv8XkcjJlnsGprMBILA9Uql8x2OF+39Qo+08uhhKSAjhUEjwEd8sn9MR+Nr6mUjkvDX66biuDB/BaXS0YRdUBFi2EIXHsBCvb1Gk8nJoock+CP4zWX8IpSlg07bPATVQ8de05YdObK9gotdaDrXCUKA7CKEh/eJy1eN5yuFstmTEtuM81h87cpe+FmlC7pzk7E8FXfXulaK/Bj8bX1m/NbRFFEDs/LYeJWSDaSxJm4JmJcY5AkcJJgHuFQf4JuJPj3YaKZlsMkTqFSmqSg56PkScVSfE3FXN3Mw8PxBf7X9dNhOuB/gzRkm9dFwsIfHjK/ifETeQMUGvVRx/6hw6e8Zi1VDp+sDcrx4r5Rz+JPjD8RS+biTy59+xnIY2FXvMIlZUMMe1qMIK1ZjKDUmf3xR/3qyjAuz84v0vTdxdnV8cnJsXH56tX1q8tL/B1fGJeyDOP4WL446A/ji+4doCNGcx4RxSJXgbXz3E8qsaYVlSi3wRA7srXNnrkF1P/kSUOm7zKc4krzMBRONakrOAgPieYAObAXAktGwL7U+DF/yCyLrMOy3sEwzpCUMFBj6YsrZiwhoGLssoNGh+QIiqy1TKiE9oAef2iwcKYlJgPnXvEdkSOU/heh2JPPV/yBqPNHjIbrbmEqtxEC2h+OHGdHhn95fvHh4z8f350fnZ6enhvXb7Gur1/fnt+eAUeur/ENARLz6urq8pDJkjKjQ7tLIxrAbWUGvnAY+zsllJgyKQIlmIRvIJvT23tL0KH96TG6thnZE9abB7mKXJMWhKGSQLzdMzXDbTNn2sGOaaqvAQBusNb3ECSDJIZ5QEwgW4ii1YpD94OqWhgyZG+l4pdp6EabNyzbCppGYkbJcDQ3HGDLPH1IIA4cUbZuS1MQeLZuc0w22VpUzovrzaKnTz0O/nTo8I6cy8vz9x//+efj+4sQ0HFqvAJyRG+vb8/Pz69eXf4vAIy8AnScAjqury8PmceBNrwpsqERPSCnmRUP4sjeHYvVEiIrqCSuGkxX9Dmar0p3W9BhmZ8wlkxx1DZpf4kiL5L1mDPSyOwTsYm/D8wtOtxLqU8KiO7Xgyf7my2ERE8umIdDQ+dNI0aLHQScoRQ/GWcpimnigoCLoy/CsgqUnJjmmOi6D4guwxkFS+7KpCTrGCaUOugkDJEP1KooTUGyHxsIYdStgcKK//gq6dXNUXhsnH/45yPWu4vT/zu2b09Ojxl4vAZ0vH1rADGuX12/NZi+IJU55IzFFHFKJ0SNAmX0cRooaEaF7i4J8MyW0PdTyRxzm0M1gOWEvTXo+Aw7LCYfEBxlUdelmjP2RzzFTnA3yHp3m3ZR+kF/kYTqr0qIm1rG+RurbGE1aVmHNADnRNB319FXTJBkqECNY2pSK5YrFKsaHQlHueKnHBjLuRat3iwckOG8mdqaKxbmdeZ1BB1rE1PqVoLZ+Ub90dDx5o3n3V58+OfDh48f35+f/n15yWgjBHR4Ah3q/PzMu0GmwjKIrnocbsbCWnqI7DZbVlWZDAdAkB0qkXSkOnvgWBSiKpIY5VTaHm0tYeH2NcUI3r7LUNJlm8tgG0U0UzrfpeS1PTQoCe7fsfuV2MLl478DDEG8qArrcChRoa0HTFC88RTjA1dnZMGdhphupEq5Jxh4rj4VJHGwYXKfeHCKWCt1OExY4oUIYbmfj0W6gemqntZx9ebGPGe+8v7dx38+XJxfIqw4Pb84Pz96o87O1dsb/v3s6M2bN1eskx52mTTUFktqxLHo4SAeRvQ22209z6b1d0GqxzBGnyZKgmBr0PGQwIe7oSM5y0SokBZlsHxA6LqqU619dv9gyUVgcJ8KndL70VN/mSAU7WJ4SCfe9fRYPfFMKT2PyAEkmF/4jphwiVuLiMJL4YJnJMjq2dB9eFZA7cvn2hgP85DWrM7vYgtJ4bolZ9L54+mkgI4jFEn/+Zjyt3cXr6JXb2/PL95dXJyHR2cR/u0dOi9HNzdv3ugei3HQQyuWcswEnY15nsRKDXxEHYbaYXvFtP1QxSiQzrNhrBIVKVLLtpWw2FpBoeury+QuyoUN75qmj81fLsU3N3WkqXLPGaYkhRtPFtMQ1cSvqLF6Ueia3+nTm8kS92vnkJS6aUtGWXRWJWwtJWCLa5ntCe830LPPyGDsUObGWVKVavID2Y1yuVwJpUcndWB9xPeTBQ9PX+AbvS321c2bo3MGHO8u3iNjubh6++ptePH+w4f3F+c3Nzfn6YcPo/ScyPHm8vj45LDBw+fIWQKK5yyLwbYYhFB7KneXktugsCJfUhNIQgA5kmEYhRG5AlvssNig2qfpULmb2bxJu1CxwEGKNmNdTld1GlqfDGtRcg/T5gBYCnd8pQwKLoz6jnQJbt/j9TKyDoia5HYCHKb2TQB0CsFLVGkYQMikM64OEWWJtHOXJ2NxD24s/og04wlzH0+6s0L1iUxDq/7c1Toifar7hOWNOhfQuHiHQulFeHN9dXWesfBxAehA03YMEAmjDjpOTg7xQ2jJPN52Te3gRpqWir3Ymq53kbD43kbqA6+VoTA5SdVw6A4ikyU7d3tivsYA8r1LZEezcaRVmdMKZlwWnRSNokHwZbBMyvf18CgwWrGHi3qm7usejvQpfFrgLVbVclp8VwQra6vyvsfzu6y0nE7yP736+ZSE5ewdgOLd+QUyln/en99cnyFhAZggDiFyfHyP5OXm6JChQ+7p6LyBEBan0JArszhGuhDjW6x1bL2g5UpNklIeYQzhytWyTAZ4/aERRV442ObNmTi5Wq1Rk61IlMSRKCom6CHRIZ8XaLGgR/w5dGiKR7wQ3iWBZNMsoZpRvmhhFVCD8vDtagZos4tmEv9ug32er6T30qPCIxOWMwYdKJBeCF5c3FyjsXJONPmA76Dzgnjk/A46DjJh4c6lC6TnD9DZwMaN1WCgQhI6WOvYCXqFrNGhQjeq6qpIA0BXSOhSk8X2HG78eIbUKMcawzlgTCthZ4bpHFsTSpMhMMKd1M0XUQdEa8CVW9RzI/YdWPlZjqaAAQwidLWn+WiyaL+jOhkY/mTz7+ZvR7PvxwYeCR2BFEnfb/AiPRLowN/xzXeSt6DFcvPmsMukpnTunTBf1eCex4PBIA5dNNDi6bKM3F3UR5lCxya554tMIV0iblBikGzSrS0K9w7ldfKqqmjNNaxXM8ORiX8iKvDiawmL5PewGplLKcDuugyoCKAn064mROP0ezMaLt0DV3ln423+PpMwtli59+tx0BGes8bx7ub8/ETCjvMrYoVOWT5I+fT8PDgCdBxwc5YNe9xHB2XdQCcf9VFs3JByDEaW78CbymZ84wfK88YtK7RMluLAxneUNa+LrQXAarysoL6LLMkyUJ+g93hGFXAZWLG04Yo9XdefQ0c6m83ns/mqqab8y7QzIxIIQFs5xw/aD0SLvnZfxpQYGDOmsEp+G+jwrQf6UP368fTb+ft/ABg3Z6f/u0Wn5eOFBB03eqoFTA9+Ddx4c8CUMEd6b1EygZ7+cEjkQO4SyqisFzo7yF1BqKC0fgqt7GkaY/o2iCLXDrn35toUaEuljjQPuzqxTGWECAbWbCk53XhaqKil+Tl0YHYDE72sZ7TNqq6qYaQrp9ROzGBjIiLX/uDbWww0bcgPTAOJWX6n8XM39MweEx4NHVIdvbm5On1ryV8vzknj0FVTpCvnp7f2q1evDpmIznGN0MkmK3iKxrHUR6m0au7QGiFSTpxhNLMcoEDqx3FoQ0UK7GhxhN7muB+ahwG0ylDcrOHFbJftasTsSUIB2dXT9otaRzZbYqG22i7453zgiYirBDLhsl4VKhp+jwxDehmYHfNIPN/N31H4ql+PgY6UWcnN21d/X789e/8P/n729u09dLw75+Qs1iGPv+GW7+ZsrcRQ23BiAAfSdzsStpPrmzsYuwtNP0drpRgkg2AYR5A/cTRha9aOtlhrceO0LGcYl2EMQUkSQEfOWkSn3O74KJPWX5ZJZQRj3k4ZGIUyo7Hxg0DotFo38zI2DP87UZYD6Fgo7/eCDigYQ8f09+VrXJldtRK5A6KBz6OAy1dXl1cclH91KWHC5p/ZVxX5jYcLz3R7MQIJ/eLm7XVwfX3+7h+O3t8EIHSg2MGE5d35uYXht7fXxsnp6clhQYcmCNqQnrDjguIcKeujaLBxDF3bqXjbvItYGh0wOgI3GxQJFjkKtJjVDQNPVwBQKp03xfagIwSHBLpkUCabM+oADiA9yT/lWX4l6kB+Q97tgoz1h5QoEtkNBdFwqAUozp9H+iD73TCZ6FkQUfDlYAlSmHsnNt6vF4AcR2evAQHAhFfXWlfj8pMl35N1xQH6V77B2iZH5rFuX19ddYo9l7gYjr3oVBdJL87e4gdPz7v+rLqRvuzHD7rYcXPD1znGE5xcHlTCQrZfRH/RWMQ50JSN2ZQFcuitayvf2ualzTJhSFkdP6EaRAbqOQaynS5bkr272GaHBWZm9XI2LbOBHhU3HwkdZFtGarGai4FVdP9ozqGDYDYtc09HHTTiRRnJNmFaE1BG3PZ0GjhYtkvGLKbdQ8eLgY4j87WOJ5hGvL1+dXz58BcQ4Mo0r7jXT1DgfPXq+ET6IgIdQI4rQ3AHywlP8E0NFtAHu742pK/CQRYEHdKX5VfvO+y4Nggdrw4qYSEZGBYG4XBct7MUZQ7c8j3LE+TA3qVFykBtr0yqPaFsaBEOYf0zyVQ4GIaQFtJKOWCp2X48nedbizoUjAEmqfSlUY6tqOI9btrc/BF0EE0tRB3NTJiud//ig50yQqV34KC8HIr9lS8qFpbwVjQt1tR1EbZ2A+d3rHX8ztAh8++EAqYgr8/Ojh7+OhIEOD81CCqnJ8d/8XGGVgs0mHlcbqDDBHScn1501A3/5ugMP/hOCqVCQMcsreAKKqXqhj/HJzqohAVXuCi3gEG6miRgkKJIyhEG29qQDQaTZbnVhImS+mGYUR1kAFHSgbLCOHioogGV0629fr6slglEOSiBB+jIULDAyHjh/Ag6TGk/DjjDYtsPe5EQyZmtMD0XRd24OkAG/5lMXvyYY3MRTSSgR+Ig4Jl6tpiU9JvyxcycQOTvWKADGcgtuiGf/Dp6dYIK58X5CSUCEXFQ9wuNEdY8Lokcd9DxyjBO/PNT9mPfYziWC38QOpijaCL6xQZYvJu3Uuu4xM8fUNABVmNsceO2qE8q0CkCpArwVer0WCJDiOjhFplo2FWBkZPCCtgYYlA2Cuz7Sr0tJrXRNhlhyDEguOwX1bpBmVTzOn6YsJj0yRzMYKFo3Xtranu0ZVVz9A1OV4NI7BU9oadL5cYgX0rmdUIDup6lbf6OZNLfGTqur6g5LOgB6Hhz88kvJBYCHQah478oayDYkNRGCiEPog4UvDwIkaKn8s8HKoTJbx+pM/jxnU5XkKh02AHpH/Okkx58dUDQQYsMVWDj5skgTuIocF3/oUqvK9ARbC/qoUh6UsAYKMfLo8yCsdk7IvO97t/WSh345MOQglaIu+AtBLrFsJLa5/ehw5bAw8ryjPOC9/kUE7wJrEowdG9E5XSIj5ZTTispsiArUvGTB8lUmaLY0Y763fjCmqmIOl6xYQr8QPZydHX96Xp7fYoaxwlA4vj29NxBdYP1VFEXZX3k1abWgUg1PDkdlP9wfdzghvz9w7uRAAY4pAw/hKUuCRIFj18dUsICiciC4hxMVuxBFIXeJ7210Jmty23KKNsqHEqFFgHHMFIq4ixN0HlwmnZHFdvWSmaUP4UVBI4BRmdGPCBTeMD8CDoeYGloflI+dSxEMpjBSQtUS+chOG5SQFmXXl4vExNgheE6auiEEzEm6EOOFwUdqHVsUOIthtJ05nK3kFKAlYHaxE2SgUMeYvZEN2KuXusHnGxqHYZ7e3o6GH34yoJcx+ji4nXw9lV0rqU7bgU6WIQ9oITFjO14DBfRdMhBVVC/9RSXdR+VYG603OJtX0GifwJaZRYButBaQdHBoi7mRp8jvBPs3lLGQvOpJZhobQmRkpIZWlmv8x93WBhswGSBzOvIuVdKRywS4vO0YJiCLpbzBRYDBBgz1FOKdhLB4QomBFQjG5IU0kFHDx8vZJlHEkdwvXlzdHR2+tm66db5+/EHFDopDriBDgQPBAANHbjET25RJr3QdY4v1+0lYpWQ2Q8SlluPNVnjMHgdIsiJGzoKpJN1O01kaCXyna8IDhI6nC2MSTFLQLaiSKwYD1mfVSrc9ITvtQadjnuyreMAe7umWi9nGUrF1RTDLEZSrcaeo/XPfcBDUFYLUkMf16NGpzkuFjW8AhZlyuH8SV2m1ZIeaT4ikLydhULviNJ2m03np6griezOYaxDH7t1zl4L5csPKT+sJ07ONShw6S/CSFO6BDzOFYR6gi+jDoPVkrPzzxbm4DRYGFIhkSc8e30snLJjhDyHEHUEgViVg1HdVuOEPCxwz72vQcRWhu4d6eIAF8A9B4V1gxyB/ZVRsHyUbBNCwyTLc3ZYNuOvg0k7H8C4yNdpiS3VTbMjpT/Gx4YahfDjDvXPKlDV65zj+HGKCuo8Y1AHAaNpsxjsfZe4jmHscNjgx++H78Y9XJ7L2dlr/P4XQSJ9/731QQoXGjxCYYMIbHwGHa+PJHZ5fXt7+/o1ertvELAInJxIPeXk9Pb87OyKD+ePmkdHh1EgtdwwCmjvVsSQHUfMgd6K85UtPq1L09mC2ZgkK3FegXtOcRAihw8K66fQASU6Nau2eHcOQ/Fqh4we2fbolSIPyTakMM+KTUdtBnkeQ7+gT5HM7FkRMhorIv0rlZaNSPKhqFMYMhRnxct1aRyEtIaFMUf7QJbvGAe97CvTALEToUHaNUW+sf7Ri+ABJFBHEquAfPopdJywhHqpeerHXf/27c3RLZkhqImenpvoBgvhnR1hsEiOD6E8akG0GsXBRjobQ8lWviYW6UC6dxs8cGxUz3SGxXo1R5kDjBKFAi228OdVQ7RN51vVGrI88N+06BdgxOcGt6CIDljT9iFGV3h5JKfW9cWK2d2IpmNn5ijlgD3DMZ1itWKn2wNKl58UY/fJCTysBIFxkBsdbp0Um/6UWQU7qBuA+PZih+QdIoejN5q4/gV0dNZuksqA7qFZ7Oap2Dhdnp9eveUjXkncQegw9+9F7ZBMAXEOaGMkgyjxgBy2+ZVqP85jnKjnb866EnMkY4yOwL5akhV0dsyvPhAzLFsNkIVUbjgquvsODBSQVojVLL5rh2IuaT06DWcW5Dva/Q25znI5Y1VjQIP4iv0V/nUgeeDeRTypLoBGYXxItQ7joFss2MV/3X4LOrp44/4fINjznnYI6LQQOz6POsAX0/Mtp7pacnL1RgMMSecodZyS6/7KuJRBuuP9QwdUqWzieoopLWhjoLESDnCpW98wBQu2otsSYSAMBdJ6igJtMnDBJ7G/VkugOchiXVjbU3MOQpqeKRH2kZCDWUfZTB0SXjZgGuq/2I/p9JhB5MvEra3ZsiiTwr85o2vivM0y+sp5lAiD4eJBbBXrE6nyPS9X1BdC84DlBJhWOCEKoaxofNFYvftWR9JgsSOK0KR9JZO2x59Bx0nHTL0rtb7WDDKMzWEGlz0VmcEVmR/j6ACgw7YhP4uNu0RnA7rjkPWD99lX35WjyxzOFpqyfjZbU704HGJwBcj1DZ09Z6tRRwdQuliIMVaXfWmLXu25snWwFQYP+F4/Dv8dabaKm5oFtSRgBCygR+zQqnEzNo3xaoIoLp2vc8/Yv+eq3quhcVAzVYe7jhknSE4Bye3kXQrPjK+ujGVSAY537xDVg+nx5liHFp8lLFLGILcMC8h5Ii1cmaKD0f0RwxQdlZwc43GkoO0dORBLiDgHnE4GPnQFlWV9fePaNOLYws0RDgkwCVsWyFVQ54jFWfDr2IGxtFVhbZOK70oi4njWvbwmnOhL/tF9cl/8Jc3H1fAsn7VWjObww1ym6K4ce5fTeuLlLfDDHCxWsD3KpoVhGkZ4CKoL8D84mDWZTorkEI7LN6Dj9e2JnqzHmOhgCOhIupV2v+TvWCMCx/sU5YA4unkbvLk6kdDitBu6vxQND0lL4LzyhusIRNVj/RgNHedHnVCHQMelQMzrO9GPHasNmqaQKWJABcWDc5VQPDiCNMa9od+nS+zgHFYvf21tnh9PhwKp0saQ81E00K0d93td3F+JOmzWWdE4+tn3+4sf+9VVOS/OT6+vB7NpPp7lr48jK59NBsbnz29E7p6gAwZ34MOt79eqW/LFv/9vq+tfeQ2szSu3K+lumYc7Ofsa2HF7G+F+9y5JhsnXV5qMRu/Rn085zum/9aKrVzoxOXlwcTAReSXrSi/zlcyqnJjUCjo5o7TPK3nUyV9/4Vp6ZV6dYWzmij/513+Y1/znrx9dgDKYbtrPkqmxMBfHDpBjmrOzIsjx/an4Z2Vzkt+FWd0EM/7TfKDpJL7rfKfZGf2aXofCR9gb2Rt3KMxSqoglsle38fnr1whj4uDrd1Uv2kOw7jgUkp4vDmTNl7S6tp2DHX87Mo9f/ReZx3kUvxt+uXBF43eAB3EjS4T0ELrPdvmdgP9xxem7Y0OkyH5865SM1A+fATpCI4KtUDJpV9NMsSfLT/bg3vpFxRsDniNMbf3qukNBjoUpvgEYQ8YRkSPy3W+TrVD9N4tx5vxaI9r1f/b9/uLHvg6uLtmk99Sr6+j4BDokMJN/WJbcPDAK97dbSsSfgwNZCYLRkeGbBzx0T3rGf/8Ptsi4dFX86dIfQsBjmEjMQWOBwDKeqQFF7ph1fW3hFiRk+L9+9AMuSNv+c3D+sHUHGGjDzNe6TGkpG4XhvRzXN9asKp/RkNyi+bSus6BAq3lg1rejAnZII/XzPR6wnWjBbOwv6vDCc2aqb33071+/plUWpZW+8W7V7tmbrjluF0mXP93qJuHt7d9///1fLPtmy6uT40NQhgIclpE3iDHtA5b6YYMFN/yjG6hDRLh+v1zxO1kJ/ge8BLb5fKoKIhmkyaWsmbx6VLkjNq3nSFhY1c/Fl9FFcwXJikcN0gdRwVegoy6fI97paggwSIh0gVQTSAld3+U6/hqlBNrEoKv47s++31+GDpbIUfo6Vq9eqbfH6ljGks2vHG9ElvvYMWYI6KjSTUB83yU8OWE38c1219FrTYbCkeqStrxdF0ZwqFHHax6ck/+8euXd3KDleoP988nyQx4/0e159w4hCWcknY0w1PNAx7EukLLGavzYXEFRnNx4FuhwwmyyrNvFBGuM/364JuWymY+fb/FVOeM/HFAG1fbc70+GoN3hWmZg/wLfHkMwxXhfS45ziU9dlpvPj++VXz0s43E+MPbg11bWVdrFt39tRrjw518iNLHddauHvm7P7hLkvAVnznMOFzpOjv/zn8uTs/N3Iu717ger4Lnf5yrz9LkILemyXVOZomUtu8V/P1pN9/9zrlkmjrZxbDk/mClDD8KiLdBPV2U9zAbP63Zfa0WTp3XTrNf46+pffFFVq689EP+yapc7n2rx0Zqe1Mv0PkoSYrT4BZH9+J/TbS9k72ccZSfD+/jYgdhJYR6wSti1yJNDgZi0L7o7fnV9FN9H/FFt49JjJ4rtKPy//uGDl+PIeob2nWmqnECAixcGAvAta+Ut4A1sOnNfAEeNN9o261/9tHfPX3OH5IrZ0gAkzh95JgI4MGTxK9dSSBHB+qff7y+uGgevXjXEjhVg5F95J/Bu+MrzN4Dz2T72w0Po4MYA0QCp1JXUA0+2jRyvqQws64oJ/F/5qoWIdXiw2EE8RQoqQ/U/XkvusGb1fKghV4xAB6+pH0MHr6lfzIS1oAyoesUa6cpTmmXQ3Vs+Z/utaitAR6zn7cxHlFV/iXPJuZwcx3c5w2fZT7txsZghysMf8++/AbhI1bN9OIaO2yWFRUiWfXMnVQPpCA6Av94ucPwFhjbkgLHU2Rlinf/9lberwjjYUZYTcnSY1EE19MP7H630fS3+PvMtXHpzmKt/71nnc+zaGe9cY/PB8fTFbgxlAAgQPxk6cO8rSHfT3JXhDxY60zPoefzwcY9eKTS4qjySebdH2DSzSFqOc+dXoQMt9nSYPOPneOQS1hDms98n8rdvP244pLT0fG/Q4UpZ6OhGUWDiXqzqfCdLvwzD6gOHjlOBjvNbRh0fvibu9ennGtXrtkiTwfNfd4N0NB6l37mesNAkLhGd5J+2DTia5ZPp7D4ROkzIcNe5H2zKkz/ST9hI/TyXHgPnvtplZoNO4juPgA4Q4aJ5U/5y1JF6ttDDd60/ATOOozfnH0SmFlK3MB/++uLQ3WwfCcsD6MDhgRXI+/2sFLIWDiothw0dx9D9QxZ3dQbDR4GO88+azZhQu1tHAQSu2+Fjttmj19vrW1xDb2/OLnhNobn9zX0m3kIQ4FsOH7ZY4IAA6Yec2jPWE6EjFOhwI+exKg0BGFn5842/KUDHapl5YoZtPaKIAbO0XyGi30GHtVWF0283025vN9ABH2I21L5RkUH/eL5azfeZsOBk0DvoE7maj9te/3T/U73XxLY8dOi4InQc3Qh0dFndl+vszPduoqPhYl3P7YdWG8YvN/tfIV26evvmvIOON98Zh/ZpEtZOySRyHniXGMl8AWc078m1DpSh4HEGW2HHfqR+Qqh7nM+lxyDQgW63MGWsH/OkMcOy/vma+13CAkEO09+5/ARKBXD2ktN8fv72LYil3zwuljGvm/1Bh2gNOO86oYkfa9g894KHwPnZwUcdyFVoDnsmUQfu+RQ3friujI29E8dks+bfzQzFM11P2qzh7O2NFFsAHTffeKCDcD0M8hUJdob7IDeJlVfU7Qjid0+HDrRm8/tmzY/GZyJpjIKF/0zLgZE8TNbuFc9/LCbBqCP65ahjP7oUvIzOdNRxAehAle1b43bwwFu0zf4SFs4OG/67fx4agzxGButXEePOfwR2Z+dXhw4dtxo6UOsgdEg76tP1119/dbiBX+W//66gUOuaSj3T9fTq+gF0SNTxzbE3nlB4HQjb70HYMzCgxN/Oh+ajKdob6PAhcYebvomoA7J6zu7HNS1g3jLzrUdCB+Uy5vXI/eWowzFD3NvdnVfkz0/PEHX8o6ED19N3zs98n7UOk31w753oeO+yxLERAf74EUfo9uz1YUPHayYsJM3JTf/sRIxnHyzR6SEx5v/wS82aeqbC5x1sgF7p6evrLmGB2Po3E30o1CFfWU0j5+Em8yMWG1erQj166OFhwgLFKuexUYcBzZowwgzaMy0jKBpcqeZjocOn1E/7DLUOHXV4+4g6NHSw1nH6zagDhTRvr2VSi4Qs+502V+86Bdvvr5zdRDcbsb53tCo6cOi4Iq/jZAMd551p9f3qLFqgBnYcHadQFRhz/MsOjeeMOk5PNrUOdXP1zagDcgpZW7PDYBn3psiBnS7IrZon9lM5DyZOTZ094dREyjCe9WZdMIh6/BvAhMuzQAeoZXu4Io//Ojm+OdK1jqOb69Nvlkl5ruer3Tdnj51jgY5rw4LTobZPBmKwPwBR/9eG+Xq7C3Sws3N6q/7DhOXy0BMWGkFCJPD1JuqA5tcnCxNpr+4keMp/63+zgexb99miDlreH1+/6epnb749wwJzYzR41ikFazYH1PEV5qRpMNYWKtoydHiU/Tefk933NOhwLC/4FTOFPUOHAUnaDjrgZkx5usOCjuPj2+PjDjpO7qDj5C/DOHpzRA7Dq20L9uFGDW4mHd5fQpn06voK7pCXVx10fNeG3YfybjWEMfEzDvNdXlHx+PLVBjq+OTnL6oaat818iL1718kEdGAQhRzT9TyJtx11GH4xzY39RR2IqPM86aGjh46XBR2On1RtM9XUpN1Dh+j60w01osyftRnODrD96haEcnRetp2wgJEFp3vb3R90qAemaj109NDxMqADEgr4JM1IdPYf5Rv4vNABn3cHVUWKNXp30GF5YbrgEBlHq+bJ1qMOmDWXz3kun5iwQJnI07rdPXT00PFioAMlOuYriUtLjefTS3w8dKBIOUVDYkjo2Dii236YjsvJDNqeUAJItw0dLono1h4TFoR+ltknLD10vCjosIx42TQzkdezPXMPCYvNqsYUuOHc9VLtALNjSVJWTZmkg21HHTAygufsc6o2PQ06MOFniTlbDx09dLykWgeUEhvNgradPZRJgRcj0DBGqDh0tRbyMYMoidMEpExAR7yDhGXWPKc26VOjDqYqTtBHHT10vDDoKCGmkXHSwuwGwHcKHYbvjzlnyhapI9QOusWCoQXsACcM47xPFg97MnSEJqBjf7UOmj0NYqevdfTQ8aKgIzAW9Xrx7AOXT4AOd9nWc/9T6zbXUxAzJ3RQq33L0BGhTCrm7HuCDvRXwumy53X00PEyoOOOH52iMzp5dsPVx0OHi9bsqnx4fRE63HvoiLfP61Aokzp7LJPa6gWzSXvo+OOgQ2OHif0JkR1zb9ABb+O2Sc2H1xcyFhfOMQIdNIjZesJiJNnQ8PcGHR61hnro6KHjZUDHhrgZz9bNYvDsn+Px0KGg5b24d33rRtgcOE8NCB10pds2dChUep7VFuPpZVIYR9o9dPTQ8ZKijgSOJdPnt4R4PBE9gxb7+IvxVyuIFKBjvQvoEB6cuUdeh+/48yrvo44eOl5UmRQq/IyV/b1FHcWqWeX2ZzUY0wR0xDuCDszOBI7v7Q062FqZgwnfQ0cPHS8GOnB3h6cyHSr2ViYNQCVdDMPPy7cddEjCEm4ZOkBotZ/3CDwx6ggCd1b3tY4eOl4OdKCmYKMzOlV7TFiS5RqqpPfpwqbzE4Q7gw4YKOFE2nvU61DGoumho4eOFwIdvvhPQTy8LSxvD9BhsrFA27LVV5oLpuWHOmGJt5+w4PmH2cDa2+QsP990nns9dPTQ8SKggyMjPvR0VqLFt/tah2MLdxQqP9QRtfYIHaahxstin7wOZSTJz19LPXT00LHbhAWNhQhUpNVcIVgPdw4dkOQAYA3gWDlDndLZI3RA6haUsP01Z22tzdZHHT10vJRah6NFdsa/IBXx89BBQT90NeiiUH4pa7hj6DAm4LN6e0xYTEt5Tg8dPXS8COhwOKlaQoUrR5nQ2Tl04FaPPWOPofKTud5eocPw4WdY7rFMaka/BFs9dPTQsVPowNUaOLNVuySVNNwDdJi2D6uVVbv4yrz5bmsdAfU6fHOPUj+G40U9dPTQ8TLYpPwvRaVh4v5Knv3ztQ6LtdGsalfjbth+f1EHRkhW5R4pYVD6cX5Bi76Hjh46dgkdLlscedM2hWfYprF76PDFJq2lOyzNffYJHaFFbdK9RR0o+hh5Meyho4eOF1ImBbFjip2bIOTw9wAdDn1XmK8MfAoa7xE6fJE1Np396XX4Cj4sfZm0h44XAR24UO3BYr2aDRCA7IESBjFDWNlTlVRZX97wd5ywqMmyCPcpa2z0eh09dLygMqmTNzBXQ75i7IGIzuTehq1zU1jGF6WO3UIHgNNUhrU/vY7QgTjqqIeOHjpeBnQgwy5hc5KSkmTvY4bFs/zJigb3aBL7ey2TOmFo7tNz1qdeRz9030PHC4EO24xhO75QHP4y9zL+5sULUEnxBr7MmHZd64CmsLnXhGWx6mdYeuh4GdCB/YLOKBsL20COR7BJMf4mhpHCxN5rwqLkcOzPONJxHWNeP9kfs4eOHjr21JwllbTJaJ/gGLvXJsXrB/BZqTJ97e+5TAr08vYZdZh9mbSHjpdDRA9mbVUNOUHhGc/+QR4BHZy9axaxyxffL68D3dHnhc6nes4aQQ8dPXS8FOiwjcGqXU38Lb3+j4norpHCy778lgjRLqEDU3hFtr8yaWhEZlFmvYVTDx0vhBLWqZLuCTrExqH+Vl9hxwmLP632aRwJHA9io486euh4GdARTdumSvcGHRZ8k1bNcngA0OEJm3R/xpGuIaaRfdTRQ8fLgI5k2bSzwNwXdPhGAheFiXcA0IFCB6Fjb3odJhlpyuid7nvoeBkWTjC4R75i7i/qyFdtmzuHkLBY9vRrekM77LB4v8LK66Gjh45dQoeHzug6tY291ToUbByqoXUgtY59Sv1YgRHC1qKnhPXQ8SKgYzBv27ly9wcdyQKjb55xELUOE9Dh7pPXYau+1tFDxwuBjrSlKqnj7gs6vGzd1t+81e826pBah7k/lTAAx3ia9UP3PXQcPHSE+CUiO6Zh7xw6XG20xtk7cFnNg+mw7C/qQMRhgRLm99DRQ8chQ4epJ0ZcqPwsUsPYfdRhaiMHhdm7+cA4hDIp9uxonHlWr9fRQ0cPHd+JOlyXYYd0Rt0vCOC7SFigxGl6Ror+CrxPrMNgkwah4e5R1lg8Z/uoo4eOw4YOR6BjBCZnsb2g49vQ4RiWSTFU7K4mt6yDqHWEQaeVuh/o8E2L429hDx09dBx2rYP71Z9gdyXO9t7/N6Ej5BVEv7UGNg6ucwjQYYmNktULDPbQ0UPH98uklu6MzrYxbP9D6Aj0MUurCgb3xkGUSYOuVLk/p/vIna966Oih49ATFhOQIQb3hrEH6ICYIC/womlk9O0QoMOwo2f2sHoiJayPOnroeAnQAQ3dkCI7daZgHrQHShjsIo0IhpHVUBkHQQnTZdI96nUEBrQey98eOvhOBTosRnqm/R39EvybZZqoAcnNhpJyrtNDx/4TFkiBLjD6Foso+a6hQyuCxcummSrjm5p6O4WO0PbKWa72V+vArkjz+I+BDrzF75oce76tQzHPA2R4picWY2bYQ8d+ocNiQ1T8Gm32SO3dd1gcvKioknbksAOYYTFw099fmdSyg87w/s+AjoAXntTrv74EzqO0GEZ4oLUZ8zF66Ng3dNAwifkKKg1Q8rX2EXWYxrhTJQ0PAzrEOHKPKmHIWXzD/2MSFqZojv/N06o8E+c8rxbF0A0dO2JqE3l9rWPvCQuurmjWrpaJYTrm7suk8oLRvF3Ddu7bBjA71iZVe9br8MNfOREvDTpcsa/Af99YlvCNcpAWlyX4xkEY/VIrsIeO54IO7NZ02a6mlsNgcOcJC3MkK2W+EjJ9NQ8jYdmrSphvKvNXml0vDTocM7LS/EdrvITqdrsshiGrH3T86qFjv9BBuxGqko70uXB2DR0onBtBsV6tqPITfAu6dlsm1XbV4b6gg8fAip0/p8MCJdayWtbfXE1dVYg5YBNUr9t5gZli+BKHfdSx/1oHqKQ1DO5dOsCZ+xh/U7NmtRh+7za7c6mfZo+Ts2gjREmq/phaRxiZ1rht2vU3Vtvgw8har/j7LCVuRD107L05a8eLdjn3TFyqobl7Xodn2cOqIZVU2d+8HnY9dE9aRbBPRfTpMv9jEhYjNuKyaZsVlkDF5wuAQfRYCXQsp1niW57d1zr2DR0oQmXtensuCj+EDtxAclw1eWR43xyc3bVdtZouC2dvUYdre9a8KZw/BjpUqLKiKL+55J+mS4Yd1SyPBxhrDqyfrgX10PF8ZdIxpmazfUEHLwAkTMtMZkfcg4COwEizoWXvkYhu/QlE9HvoUGo4iJNvrzRNkxKl9HqaJ4NEhWEU9ET0/UOHqZbrahnuCzpcvoG2msUSfxwGdGCqxjZss5+c3VFzNvTV4HvQkRI7iqaa5lmWJnioCn+hGdhDx3MlLMhXaqiS7i/q8JEw1VD5IYfyMBIW2w08w92j56zFqOOPqXXYnu3Fw+Hw+9CRT/KM0cdwGEe2dhrtoWOv0OHium7azNpbrcN1ZPaOIoMHAh36dmY6e6t1WK49X/9BtQ4nihTO6+BbKxFYYcSRJMhsIs+y3J8Xceuh47kSlmi2aqvA21vUYat50y68Tc32IJqzoRnb+xy6N01Ax59T6zAjFEpjoMc3FtADQclA4o8BHhoFnuf2tY69Q0e2XLUTY29Rh2lltSRMZjeKdwAqYXBPCp9VYfCplDDT/pNqHTifvheoiEt9ZTEmUYMh8ANVDixfJmkdp4eOPSui5w38GiNjbwmLA4N7zN6ZzvcKXzueYTGGw3B/k7OIxQeT5Z8j9WNZtu04rut1y/9suV4ASGH4oRhwuL3Uz56hQ8l91YaLQl0Nw31Bh0mTxno++EHmumOBQXtWl+H+9DrckO2mP8bCCRI+Ah52tz4furdt1w8lHolC3/1l0f4eOn4VOkJNIACVtIHBvbm3qCMB1Wf6o+Rgp9ARyQzL/hTRuTdwQv4gMwUKgFnWd86+7bgIRjzXsS2zFxjcM3T8p0PvDO2N0thfrQOzd7RxOKSowwiiSbVHvY5I5np880/VJjU/W8YGWyzzOW5xPXT8InT8j5wnoAfmjiqMIu4h6uiugwlmqZMfDYzsY+je3h8lLPyl1/7doMN8gBjmr6NHDx2/CB1gcUJbxYgXVbtQ4daG7b8XdchFMFgyYfrR6+966H4C6Aj3SEQPMIjo/Tm1jh98njvw+BRGeujYH3T4GH2rK7RmjeccE31CwoIkNgch7cfJwY4V0RWG7veoiG5JwSP6czos34eDPuo4LOj4L270vuGWrfif7L5MKufHdP2NKulBJSwmEpb9Tc4avqvyMv1jEhb0VLZ+/fXQ8Zy8Dh8hsZqu2qVyPGXsBToACLO6Xbg/bCfsVq8DTCVEQj7sWOBoiXjMsRGk+XD+oKSajcOGcM0RPxALzKTOCED/btEDIbANPcnnUWXUMbxiVVepyxQEVQybEqyuBBYhQ4uAT2aJurPDLMnmn72FUw8dBwsdFqlHEAVdT+Dd6O0cOrDTQqh+w0VhVQqR4YCiDh8+LCPnbsYGuxl+cKapZ2kpPOgKDLja8coUz2/+7oVep+qOyVvsWs/slIMKtLFSZ4MuxCIHbvad5IRJEphlRn5ke4QQiEuHxrweeT109NBxmFEH7oYQ2WnakfULY4i/Ah0stwANGlBJf9TO2DGvAwQklzvXjXzhhWuyhYf3TKGIri5kEQkCxgz+HR0DFOloMzdHoVXovToQ7ima1RIJiA2qZOB7XkcZxW+BCZ85v/Pv7ETTBGEWTeH30NFDx2FCB7SW0ISs66Glb427hQ6X9RXlzqDyM2QEdFC1jsjocgpuc7Mjp/udlKtgBJpTgb0p2YWS/lHi3zDlsOI/5B5moLs0NqOO5X1BB+5lPsw6dYaiPztm/G3NIHV9uYgWvV11Dx0HHHWwM7qe2Z6//SLVV6CDOyap182UVYWDSlhQ+UG/2vJ9vrAiHOgfjlgS8iKWOHRioxg7ReKaS3IuyyGWcDJsPgcqI4Ed0agM0LHIGGhYASyIOkdb8Ktp8gvE0Uqbtr56vND0nXhe99DRQ8eBQgeJA7zACs809wAdly718EdQqi2MH0807RQ6AAgJWK6bFUphIxp1X2aG8HCTUfeNVEcd2eZrJc1VVeTd1yKJgoSl5BejUaqrHffPrl9SfnqE33WpNF38AXbVPXS8UCI6rnhI2LerVBmG4e4eOkSAfQKtkOQR9i87lvpJpnm8XKKCi1/LnHs9SOsGyR0Uuad8v5Yq+PemBouf0YIfT1E1QqN7VWUhc5AMP81VwwUcCQv+DQQa/HtdRkRKaJSs5AmqTKHF4qRV2+A7ePiAQUxY1n2HpYeOwyWi28N5284Rmuuke8fQwVdMFk0LKqlh2ocEHV4Yz2bRtFouF8v5cp6EBtzY4mqBL/H1xJeLPl8u5nzAojAc9GCdSbXgAxbLgcWqSIp/41rO+IxF09T62WSWnm4N+tEL+HWiDBsmS/3ky5kJVxKVV0xweujooeMQoSNANp7hxjem96+7+/G3V8xX8pXM3rnBvhMWnbIpxhcKIViYJGr3MywidOS5oSqrdp4ZsZ4SfXo22UNHDx3bhI6/ICNc1s0qo26HuTWv2e/UOnCwxlW7SiLTO4yEhdVRByGGR8Nqy9i9NqllxAovPW7aSTaInB46eug4zBkWw5u2zQLhuOEYe4GOUM2QMMVSKziIhAXslhixEHoklmPZOxcYjCX1yabtapLaoQp76Oih4zBnWIwEtbmJb8rFuXu9Du4SvIHS2jAj9g4dIFs4w3ECH3UfslT+Lp3u9USoMqI4m7VVOYyHyuoTlh46DpWIjgu6GckZNK3dz7AALeiikEt35wCgwwLhws8W9cQxodRv+/Yux98oZIOXjN18WVd5GsUD5fo9dPTQcZDQIVTSKpUT6Nq7hw5MzszaBh0GzzL3m7DIBgUxzgiLqq3y2OfsibVL6IAGFsQ5rUgVy3aRU/obUpxmDx09dBxm1BEv29XMd4RWvXvouLQMkhmmrvGY3vDWocPywmiIzsYsjY3Ik1fcYZlUkMNFtlSjtRINof6NKZq+TNpDx4FCRw7SUkEqNGnVe9DrsEmUyrtr3dpzc9aGXv+kaadZqJQMxRq7lPoR3V43nbTtJFFwKRoMyFfvoaOHjoOEDh89wCbFEJZMUDi7n2EJJuBXsqNBQth+JmddGWYjJysCg7StJqk3GBiBjJSYWy+T3hV4MGwLmg0KpG0Ji0R6KPq/on7TQ0cPHVuFjgH8GudusKPX/0qHZbAAqzt+5G7YBnRwYg01DtsHoSN2k9myTGL4i8W+6HCYO+iwmK4H6Q6bUqQqn7fzIkWZA34joWebPXT00HGg0JFVoJK61r6gw3HAtn70oMZWoMPRQ/UggAXkgWV56ilamnrOjqDD7MrTyvCG+RLIgVQF0AWjIsfqoaOHjkOEDh/TbyWGVjPX2Bd0vIKNw7pJ9wkdXSEh8u3A95UK7HgIa0KIZtg/V2N4MnQIcjjQJAwHRdvMMwQ9AxUpzO5bZg8dPXQcInSEmJtFZr1Q/t6g41LN2/U89vcJHSw2uC4451DiCGlpipZo6LiWtRH+23bUgf+CMIzswaStpxmAA28iMsSqqIeOHjoOM+oAlRSTElsXB/s2dFxDlfTxsuNbgw5Ke6VFhtKo4QwiNwg9Zwtw+s0OC8hnpuOkM1ZoiRz0cTfv2KU9dPTQcYC1DqGSmvb+og5K/eb7hQ7bcJQRZpQ/x+BZbKBCanayQ+YOoAMSxmhwuQMUSFGhHdDIXWHoLfhVq6IeOnro2B50/CeYIl9JDHNv0KGm7XqRPHbsbivQAR140/PzRbscxSFEiyPfcVzH2CF0UN80oThHPiSFFD1Zt2sM/4ozSQ8dPXRsDzqiwaJuZ4axM+z4AjpSGEZO1WMP2PNCh2OL2ChsM+2oJPXbC1xHhdv79J9Chyu9FQuipWFoxKSw5nE0HIYqCp6l49VDRw8dW4GO94SO/+UNO6ORsaeo4zagwX1uPha6nhU6pO3qhpxSSTCBN8uUH4fmNptNn0cdpraG9N0wnqzWk1wNkjiIw1C3hXvo6KHjgMuk5b/rOqNz5J6g43Iis3ePZbE+c9Th6KZoBAZpM8k8M47NrbrufgYdejzGdkKVYAJwmpJ5rvzIQyhi9NDRQ8chQ4cKFv+u5jGNDfcAHf8gYVE0uDf2BB20hqT1mpPOV2UaDDFtZjjR7qCDdQw3RLaSLZu6TChn6ECXzHqmq6eHjh46tlfryKDlPTYtdy8JC6DjNl+t0NcI95KwsKgR0JJJ2dkInQ3c8YPtyg58USa1QOcIwtGirkeoj8YRKKT+szXKe+jooWN7tY5yVa9zy9r61Ns3E5YJjAMy49Eu2c8KHZ4ePFPh0HDjCE8YePSDtHZYJgVSOSyQLjK2ViKfWqih8UzNnR46eujYGnR48/rfRWwZG1uz3UMHXBTm3uPlP585YRlQCBTSPgoRB8ZW4pDlyZ11WEKM+MOpha2VDNocgyCG+YphmT109NBx8NCRVc2/k42N+z6gQ6ikT7jRP3PC4htJnhgcF4ni0PMiutLvLmEBcTUKU9hngUE6HEYxBIwNG1KoHZWjh44eOg631jGq//0XqqSBta9aRwnXN1BJdwsd8JCm2yudY0H9noQBCg4hJt8c27a2y2/poEP0oy3Lj/wA4hx1maphAgqpj9bKc75+Dx09dGwt6phW/9YDB5WOaE/QMWvaRWw+1nWOor+hMVTgrhdh6qqfhA79cW08E7jniyLgwrZ1t44cHXRQfB7VWFNZChRWiHPEsUytuK7TQ0cPHS8i6ni3aP6dhYycg/2USdPlGnd9w3hkykLpzigKYkKHCkPzpxMW37QGyojzar3IITkO3IAAqGVbu4EOLZXsR04MbcfFaBjGwwHmZk3btqzntAzvoaOHjm1Bx/v1v01hbLUw+H3oGK3XcFGgst8j0xXHTcqixNzNFH+kPw0dthF6oH43zSKLQs/39N3eMrdNx98kLJ7jYERXjdtqkalkiKkVN4q6YbfnexM9dPTQsS3oGK//XWY6ft/PDMt0TRcFcL/tR+wDig67XrKgVXzdUrT8Z6EDUufKGECDdJ4qtFWeucTwQ+gQQ0ozHE7W7TRJaNMUhbYXbobsrR46eug49FrHfP3vXIEPFmzfMPKr0PGhalYzRZ9G55HQ4QW4VWPBo7Ytf7bWwShrAAZpNR0O/Di2XWdXwKmhgyVaw8hhfzMZigoqnKmxt4ON/1sPHT10HDh0fKzX/44Nid93P8MSEDqaZl3aTP1//PIsQ0AwPIzSRQsK7KpdpD8LHZErezeDNkaUxG6sGaSmtSvoMCBiHOezdllQ9hy/vEhtA7x66OihY0sJy7xZN5mo2+0pYZk1DXYS77POY6EjGgzGK6YsbTkY/nStI/A8bFmMrOCWH7p6TNWydwYdCuogS6iDDP0YTdlQMV/yfeO5Sy37ho6/7qDj7M3N9cmhQYdx7BwbHXQc30HH+e2JKdAB1dyTra7jq6M3N+cXOEAvAzour65wDo9fn5+PPi6bdRWZ3g7sIh9i1+Xx8eUrDR1V3Sz0vn0kdLgwQxtmCyBAW2XDp0KHkyPTyeDKhI9MEpjocUVhYO9oETpAOTciawBnynk2GFBKMNhawHcHHXTchnSQvdv13xPfuOmmHI/eBn+d3n7jgcjUwtlKZGN2u3DVETq4W4+PbQ0dFxe3Z0dH5un21+ubm5vg4uLdh48fP767OL86eOh4dXl8gvd9fp5Pq2Y9Vju+nuxb+y3X2fnFaFY3bXn52H0gxQ5s+DgroTGyKjH18dQPn6NGgobOMB8YylQecAMuTebOjn3kFXWNurQVw95tmimqFytIkm0dOowdajk9uKmfhEYQaUWno7dvL09PvrOJZ3uIOu6gQ1wHPYGOd+/eXexsvbvAy73/8M/HjxcX5zdvDx06Li+NEyLHRY50ocm/GUVuM8F7+/bVKaBj0SB/eBp0eOBAJFnV1ss8HTwZOopVtc6MdLIq48Ab2mBhMegInB0tiTrqDOrFq1qMIYEcob89n98NdGTwhnJD29nx+t/p+fFGDE69fXt8fvvNh4bGHAXzPUIH/uq/++cfbOIPKMHtcCHi+IdRx/nZ24OHjlcIO3TUsVivq/R21xfU+a1EHbfImJAwLYaXj98IkrGAPkXLgXGa/AR0QFYopy9joVgo3T7x/NPlesW6XqTZvGpLfgwiBwUGdxJ17H6dnIbHR7rWgVvq25PvRR3GvN1j1CG2oQ6ijj0tkDN5hF4AdOiwY1St15Pbk91HHZeIOq5PLi7Kul5P3l4+7WT7CPOTbLnIEty0n56wwKwAhgUFkhXXAPHbBZaRw7mbZZqIOqrxAmM7g1R0z0PHNLbHQ3sQdXBMyLF2u1B5BHScS5kUG+P0/PQbD1QYvpyv9hh1OHJjYqtDAg9GAjtBDHkhhh0fLl5C1IGe0yWLHafj9XqNPfR6t9fT69vba0Ydr0/Px6tmXVxfGk8JO2xQILDtxuMBoCN64mf3c7R1q9WyoE8TGB1q1ysuUKVZUPecI/aDKNSmtluHDvLe1O4XR3Pi4Wj8/h0Sw1hdfOtxoauGGGbaX9Thykk4f/9hT+t9enF++jKgg4XS8+m6qrLBsdrTGiQzUEnTt0+DDhOC5WowTNPh4OmTs4QO7N35bL7A/7M9LBhzt/UsTTApG8DTVlis5tYTlsVsT2vK36pq+YOH8VQ07Wqv0IG08QwFwJ2uc7zg+eZvpyfHf70A6EDx++R8/u+6ne1z1ev1VD0x6jAszMeHQ6XgChuGP5GwrBuy2NHaWTWtLMRe7Y7WCv81zWw4xLu3VMxxt2clnn8LOlph7vO/3a5//23XLUrhq2qF3/5tvnWgiecgvMz3mbA4rgFiRZfLYyPvYrlvjvyzs3O9Tk+8lwAdxI6s+nfFi3nXCzt1vVqtsGNxKZXXT4YOxw9iA/NiEPH0n9ScsWwFz5d69zvoAXTUa1o26M7KDtSVQJgA9aza1+cV6FgTm3nC//33mxgtuNaMd74ZUCyftFXa0QYkkf77//4Pm/r//v6bf9/yuj3brBvH/u/f/wV00NjEOdgy6fUrwY5k3tarttkHdMiVxCt6kQbXl0+9U7ieH0bQ9fI996nQEZeTCePofS288qQYCpsDXlFbJ+KZCpON+WR/n/eRiydlOi2TXe8FXD9qvFyk93dV3FdZBzz5zzVx5Hq76/L09Pb29Zl5dHV1dcn2RZDXGGQPD7jDQujAhs0nuJQnk31eMoX0e562LJvgATtp79G37Q10YHolHlD5PNa2rrteLuuGriGtFW8XfWETk/2w040OfEHgMYCJxM73Ag5ONG7r9I444N522cP57f8AHXAP3eYvebFbNPnedutSog7POFxKWLdsGCJ7/mBf18vb4K339tJ98oFicQDRJbuq1hOhI1LgsUcRcgXb3Mexpys2+w7goYHEuv23gPuXE+71WuOd9fr62MC24NDGN28Hxl74ri5esaTjcneZnG0KD/jL0dGbN0dbXq9xRLARX0m0wxt6Xq1yOqcfOHbEOLF4tztPrI658C4ihVcPj49/AjpkPUGXZwMdGB4JlROJBug+VmRYURiBnb0j7NK1ID+297RwI7XPz0H/+y//cuZ8c7bHs7dqnPW9agfYhQi9D2SRrHiolY5P0UP5AI89XFK3mIN6i5oLXAxAOHxqwvJ0Db4NdLjKdKJ7N9c9RB5W4AQqwqjujl7b8+29VuSvLzm8fnJCLunV1fdPq7Vz9KC4bQn9hvU312qbvx6uta4mgyzoHW6xg/d54kaAIJIR5R7eAWJXg6+vjqPT85Ofijp+CjpEEVSFrFDarJjsmF1p2SHkyQzL12WO7WcsBEmkSIG1nyWVRkYdp6A73d6+eXP9jQdivsDb1822WK7u2ox3+/hf6dmv/9+Wl+5CoQ919wbqWXbAIcfxyQY8XjkkYu/8giKh9BbXFVmt6vT0ZPsf+S7qoMiPtZdwY1PsgDe16eqYY/vSQuZO5Iu+G3UcM+o4PkbkgRN9+dnCPeQUFRDz9evz29uz6OZK1rGIWciDt14LwgkZDtNEr+GDlQw/+8Y2VvLZ4ncMKzxc6DjW0GHbKHRc7n4bCR/thJIdykEjLHxG6IB3bsSxNmwZx3T8rxND9ogcO0+PPMoUIPIwxd4POILirL19LUmbkpGGCc4yqFUn12x0XnPk8tWnzUn0QaXHAP2FlITKmzcIU25uXt+SkXX86nrnEfEG0vQuOTnZSdmvW8bV9xO6fm0OmZ7+5/k5fv4o3aLHinG4Xa5doofgBNqOYIe5Mi7obT8QcbX46v/IWb49827eYLF38frqs9X1Qi/ejz9AY+f8LFA3b47OhMyJIcl9JNP9+jPXQA3ZVggxTW9AiND6Vu7ypyxT+rOQgXNInkvySQZWiRhTbnfl89zAK6Ga9fbojmj9lQWVLEGOi3eYHhXwYF8UccfrU52x9Jd0v3azyukkDURo1TWK2ST5Vl/3TzkenkxpeCYZ+4N82lAhzdiBgnXerqd4qau3N8G7d2mavvvBev/+o4hWEDwuwqM3CN2l4HHcX9L92hF0yByEQ4OmAQwZv1ACsncmX3wYyyFKkvdkUH+9bZfZBlG2DB0rSNZP8/hcZPcfszaKNxAFOruBoti16EKc9Jd0v3aUsKyqhReYKHR4eVMXf3yZ1IDsKdSMw7CABleFmSGQn8bjcTne8pquZFh3MnoH6PhnI5vzTfmcuwfgsaN35yyW9tDRr93m9tO6zcUIKZxCeTz68gG2uycO+n5WZGJ4Ns7nMjvbtE21bnYzN7zkWOW6mY3eb0KK7wQbD1SzaCoQ9FFHv3a+EGuM0YPEZA5sJb8CEU5ITb8/53goFjbSKWfaVxo9ZMJ9veVF/Y0aL7qux+8fsz58uMtXUO0Adexaq/b3tY5+7WyrQLxviFzeKWma4D3cQiaaDZaRzVJMTJh/VtpiZJOGSiGrdrlcLJaL5bYXghxosayrcXZz9pkq1mer+weWST++F+A4x+DZldkXSftl7LYsiBFqdhHUrFkOzIdqUJjQ9S1lTZYlcMT6w6DDcTJGHtBEHVBxIBpseeUr2omj23V9fcVmKxebtGefTY523z0/R1rzftObPTo6u71lsnL5qm/O9mtHC1FF1U7RiczqdvIAG+htDwH0yE8rjFjD+cT6s6DDiBTAo1m1GUDU2/5MN5yy6mli/A+DUuHJ1ZsbalG8eQ04eP3JL/PqCPzzM/DFhtT1lTl3LHLCekpYv3a7PGe+qhLkK+sqe2BGGfDvTqx8BO5tacQ+mdl/EDkslkOQTeeZsGy3TgnL6jFq1OHx3/93Is4Zb3XP5AvPVQqB3pp4wBXAQr0lhezmbUcn7aGjX8ZOx8swQz1iyWOmInKh72YqeOcNswrFwmUKoR3rD+OVcu7OtfKhL3/d9kozFJZMw6eAzXXQSWBRHObTRZOnU5oBvjph3QOmgIxPwFm/7aOOfu18gyTLdupkq7bwH7ImzcAIlEOnVyThY3PLzkmHl6/gCEShDPdAr3QHsz0mXsM2Lt++/d/fl4aOO6im/eqzdfn6VI/H3WroYLoC7Dh63dc6+mXsWhvfm8AMs0Ro4TwUpQcxXakI4uCADni/wDPI/LOiDotsF3BaQjlI205YJLCJ3UstEnyu2DQhtfxz7Lh+8/r29RVwxcAIrR9g4OWIfLA3usPSX8/9MnbIY4jyui3mq6nD2+uDaMRAX2G80qr9JXS6/ijoEOq9a2My0I70GP6Wl29S3PCvv4+vfU8P1r/WFK9jUQ6j/LdxxSDDfG0COq4hQ3h7/Pb6NforVzKir4kdfXu2X7tayLCH83bRtJlrOJ98P4wNgEpF45n1MnMM2Ax4j3g6t8Of0D1c2bftCYzJ0I/700P6AI1L6nzTreiE2hyIQG4ZVJycXL86RdP2DWIRDMhqSzFq9Rssnr7SpRE+vr+i+7W7pN4ooShJaw33kxFSc5CUHOOA52xVFUNujUfcfGPYWseQMI/xtz+IhWp3Embur40LYvMzG3l1yn7J5YlAB0yZ35inhI5bQIfxuc/Hsa6b8qfw+D5n6dfOrvkw9DNUNEr1CXSYYHV4g6woJkhZJkWeD6Bh8YjZ8xw+NfQ/4m+zSWb8QTofVhAEoW380qTtyfkpIohraoUBDaATBuUfQMfNkUQd519Ah/HqzreRMmG9Xke/jB3qUwA+5m2TmcYnZVInCsN4iMADOUsxGMZuCCUa64eROHzpweCm0C1znfSPUR27z1Fs8dP+yac5lu7JJTMPUThGS+X2CAqChA589+jm6isKf8ZJhx3IdV71l3S/drN8C0lFOK+p1AEuh3kfgNtBMIBubIkqaTFMBxiCk47tD1ZWcnFMHbOns4H6Yw6kCc12yxH6Pvoyxi+YlF5LonL8tuvPvgb5/A2g4xWh4+gL6LgSydIr8joMVkv7S7pfO8xZwEUvpMx3bw4HnPDdaDAcAjraAlLUsfO4DN5maIKfzqvmzpn0T1n0ODB/WRFdpIsZQTDqAHRwouXsltBxe/YFdJjSX8Hgy9WxwRSnjzr6ZeyuTBqOW1DR2V95WNZ0UOscJCB81NUogVemZfjBI5ADPQZWR4FGdTq4Z6f+7isArFqgkEXk4Jq/BB0GuyrkmmOI5fbkpBuYZdX09RfQcXUkru9H5IURP3qF8H7taoVpmhdtS5FB7xPoAHnUC9VwULQrQIeKYnXvq/jdPUT+lJUuV1Xxhx3KOMtH+cDw0vTn2aekkqNlAtbXm7dvzu6n7EHiQEMWM7WfodLrOwXkM+AG3Hp6Xke/drS8Sb2s23n6NYdrJ4wHQ+BKnWPq3H8kV8FGaBIO5m1dRl3r9zc/gCCCQpPAdkcLNLGXi0m5nIY/PfXCZiuIGlfXN28Cyp6/H404Wv/+/fn5f5DKmPfQgdDO9szbc/7jhw/v36fvOIB/2zdn+7WjpWggOh/5zwUdIRnsPkqk4xgo8vuzT1EdUqTkDqcAy3SYzdFXKk37F9y66NV1jamU84t3Hz5+HI0+YH0cXQA63l6br48ftMbw2iKCzAfgdwzhn7/uo45+7Wql5aRI7a/61P5U1KGMUI3X7XRoOIFh/wGSQIysAiDHPCczJoNGQf4LwZaYC6POEQlyUD7wHbVKAR0n+O7xHdGcBW0c3QuAxvt3F/JYhB3BTc/r6NfObptRaHx1rBwjWaEaDJ4KHdg10B2bJYYZ78C+5ACKRTJZi1kfSK2p0BzUTZ0azi9BB4OO8/MOOURK8ON7DR0nd7LFlrBX7QQ+Tlpv8AOh46ofuu+XscvJizD4BtFUxYMnJyxhAV2xjLdjJON/xAH0vKxeT4aCF2nbzGPj57EDCQvn3ZCuIJ54xwIpfd4AC2fsuZw+JJqjkB1lH4kq6N5eZMhXguueEtavnS2TOhzfGjt/OnRQKq9d5nI39vzf//BxZjA0pm2b6QZUChAxHdf8+TIpfru60jWMi/PoNcIPRBYddHwy3gbNRw0dF+pG0U7y7KZnk/ZrZ8uXVMVW34eOWD066gChQ9qypva//gOCNtNNmnYe26R2GDhchR39Cq8DymBXr891EePm5u3NeSogQui4fgAdpmFhMEBHJKiPii76mx46+rXby98zvxd1rJ8CHcmipYdcqKscf4D3U0y8oCS0JeYTU0q8Oob/09CBzf/q6oyhxseLi5sA0PFekpIjTNYTOkREEJI/f52eBFdHuiKCRebH1TWh41gkTDnacmxeXYFIJhnQpczq99d6v3YzlRE+PurQdVZnMFu187Io+R9W8Qd0Zw3XmVDdVXSQ46quaCCHw6EowMaqsTLcR4chGJs9PWWV9D3cmS7O/nd97V18+AdFj/PLv31MydqKg7WvorfeKdBE3ej+y8dxycHZ078RmPgnp+/Ck/9eX0fgix1FAjfktOMraCGb/WXdrwODDh1iRMPlSkzM6GWG4ZfZHzFur2ZtnRl+BOxAiXgmFRArJH4oCUuUjk0eBx3Y6tAqJl68P7/6+6+AccXHd/je36fnF6/98xOgwYn6zymh40aAg1FHeq6IHcd/3Z5H6oTiYv8Ff0ydnb2OT1UInWQyVK+hTthf1v06POiANW00mNMoraoWC/y3XE7j3/0g+UhSoLLWyIywSRZtgb8N2WKJ8wT/qIxBlj3+MHDe/vi6g443b/9CvfQf9F/hKfvXha5p3IDzIbWNixspiIgB3BnKHDehsNYRadzE+Ausns5u8PXtm7eKZPbzW8QkfcrSr8ODDqFQwmkyCuSLwJdY3fjtaR2RO5g3LVh1SEtwsNBqGfCDxxCKXqLt4kMZehY/ntZB3Y0rX1qz5zfXt2jN/vPP+4ub+O0t2WEAihvgQSrFjfC99F6IHKF6c6OAF3iECiSPef8O+JHgB4A1Mcjq6cWtaJz213W/Dgs6zAdaH45tYYCWfDAv+P0Pk+VGgI6MOUk+n60JF3HgGsWyrOspRohXcNd7tEqrQMeJhg6gw9k5w49/2Gq5Qen0w1hzR9+Lv72EJqkPpWNvY0f7HibWowErq/iX8/P0A7El1tHJBQboXgU9dPTr8KIO8+ForU/1ip+X931JGYvhztoV+9H5ohzD+1slswIzLTlEoathtpylWfZo1bBL6osal2eSsFwIGHzQ1I3k/ByjcMITez/GvNuFCvCgf9Kj67dmN1x7/l6mWd7puZZ35+9GH9idwZ/48v356/9BR6iHjn4dXq1Da90YnmuavuIUnBH8/mxS0/MMp6jW1SgrF2MfFtd5PltmCkyZeLBs0+lMGU/Q70D/5C/ohJ3pwIL9k/cCIu9LzM4i6UA48e7dePTu3TsGGR+Yy3Q89PcXZypNMcyCGIWk9HfEHUER/P/+Apyy19Ftn6/060Chg+RUx6SamGPYv0DHflllUrRY1nCcqCaOKtqmWS8SX0QG3cWynieuJp0+bnVus0eScnx4/2H8nskGgokRo4rT2wtEEfg7Y4ybkLiAMinqGh/G4xQNlxtEIu/5aALLWXgWCymVyEGy+uXJ6f/93V/W/do7dLi0VbRdx9rUC+F2ZAR/2kFyJWVJitlskvuGGZazGXwnbJv8dBsKa5lt6Kn8R0cdb9EI0UR0DtIzCwGIADnw6/TtBasX/DvFjpnOfJQ1yt/5AbR+AglXUGA9u42IQgGjEIYv6oaypceXPdm0X/uGjkCrCXr6dx8DdK7v+safqQxtWLGS7mzo+6KmZgnLBYnMwjeU94QxQIiDUWrUlF4JAooLx7h4r3V8EGicDkkVY5+VnVYQx/Sj8Lgz8MT+F57+L3x38ZFJjH8aXEfR20uZxr+4iG+0vHpvSduvvUOHKckJJ7/Nu8DdMhzjj5w8tu8NfOUoOT6LPmGyrBvtRKMe22ExzyBgTO+mC135PP37FbkaYuWE3+KuaXt6qr0Wjs5DeeDR2wBaHtJkeSfNFDGCAy2d9RBAhwpu3r4RyeQeO/q174TF0t/QyAGPyVBhzN6x/7ij5FINOvR8zw80cAaBAIprDhazWZvHsfEEdstrAsQJW7TEizPz1av/sF1Lq4TwFN+S6gYY6Bo6QAO7IZ3jnEEFfwY/xTTn4tY5ZVKjjrpy6010c3QkSsk9dPRr31EHQcIMEGqEEfMUW3wn/eDPO0yub98P0YIP51lmZAbwzZwuBpMKetHD2Hg0r4MqxafHx8cntwCOMw82ssQIqA2enqtThhTovrJpe37+dgMdAb4wEVHY/K70Y0cigxzza5RIP36Ekgdm8s9u/9PTSfu1f+jwtNaMmAioNC8Xs0SpPzBfcQ0twQqjesezRWuAIDKY5NM2Bbt0maSLPH50JgfoODNYk7hElCDiPoSOmzdgld++Eymw90xA3r87Fc0wapgeHZ15t68jE5QxlD7G6N2O0aPNUER9hy/ZocEPZAQTOsv10NGv/dc6WBqNrSQfz6CpXhfsNZjRn3aQJJxwXK/zoBFxVscJYUGxzmM/rtr5fBY+vk1Npzd6uF2/vTy+/T+GCf+5vLqRtAQBBSKOdyloHmBx3F6+9S8w5BKe/82HX4YAl5Gwx1jsQAM3ItB8+CDSg/iapVWQzXro6Ne+ocMW35a0mC85IbtaLdM4UJFh/YEqa5tededwT90wo1wsoJTm+8ViMRk+ocNydHTzRvwiYZxwcvJ/fwMU/jKPhIb+Hm6c4JBykBblDp9KYqBynELAA4//3+szdTEW5JD27Id3wj6nXum7MX/g4uwWldP/9dDRr31DBxU5Ayubr9o17ANW7XgYxYZlO/1h0yuW7M00Y8V0xnosJezq6ujqlSQs0OY5PubvJycmkpLX52meJyxfJO9H2QX9Vk5Ob68uj48h+/Pq8ji6vU3yUcoqB8xb3oPZof84v71IR3kKgxaM4t+JIverX3vssNjgmnsZRMEqyHM06CTETmj3R824N5I0bdvWPSfL/hWF9G5F3skJWy3nCjhwfCwm95caZfiwU65z+Q3aHef6j1P+YBjebp6jt2np176hQ8GFIVJhNGG+0lSzNB4oL7L6o/aJ/661sbT56ec47tZJ4OJ39zZk7HByG34BHbcaNU7DiH/ehrcaSm4dhz/ubp6nPyv92nfUERjWEKIUKHWsIAlWJnC09gKzDzs+HyVGxGH9gqzfZssf26H72nuN4OLcP38QdVwSOiStOTlVmzCDD7i9vT29lQe+9tyT4x46+nUwMyxRZAzoOkkxwUWWJnEITc6gP2xdxNEBhuP8EnLcQ0cXfKDAwbyjA4HLbhnHQAkJM4gct94mP7k9cT57gv7M9GvvCQuI1hMkK9VstlqNk2QYKmUYfdSxOXikohsbxRLT+lXoiF4f286xrfyA0OF6n0EHPG98pCjnge/ZJ8aJbfNP/HZy7AR47Ough45+HUrUMTSS2app2mmeTZdFOhyyN+v3R+1uWQ86K+ZzFIEsRyPJyQNP6jvoYMYShPCrhX8cfnn838PfEPfQKqMvQvXrcKKObL6u22qcpVkOi/fBkN61qj9q93wPWxc8fq3W8bByYmJexjmG0IF5DwUb6HBQ0GCGYl5eut61lEDw+2UgTS+zR45+7Q86ArsjoHO0PgjMfIEyx7JMuZLhII4jtzf52MW6NB7Suu7Cji63ucthHvxDv/p1ANChQw5lFsu2bpZlIsiRADlU2NPBdoAbnyPCJ984Nj5Hjh46+nUw0DFgmcMo6dM0zxOuIWIOpUKvj4q3iBVfLo0Vn37r8oerP6L92gd0CFMhUkYybtCTneXDROcqAA7f65sru4AOTVK/z1G+xIZPfvXQ0a9DgA40HE0nDA1pyrbTLE2HRA4VhYFn9zHHbqADg3GvNl2V4y+hA4HIw199AtOvA4AOaRZ4bK00VVtPMoQc8RDl0cDzHLsvke4GOq6vN9jxLej4dPXQ0a8DgA4L41wBjIpIBCuBHINhEqnIE+JkDx37hw4mMw/G5WTcrYeOfu2d10HocBx3tMSQfVWgyIHGyn11tIeOXSUsm2KHQMcXDzg++eRXDx392jN0xPBzM3zXUAVwo13kSFZY5oieTB/1jY5z6lP61+2P8qN4HF+UPb8FMsbntY7Pfr4/nP3aNXQouCX4Rlpy2G0mTVkWSIOn730TmnwKrpKRFxuPl/vtV7/69TKhY2BA5DuZoCm7muqYg0mM8/S+imPeeZb0wNGvfv3+UUccGem0XdX1NBumEPZhyPEz0xmhpTD+ieDDNezY9frD3K9+/ZbQMRToGMSDAE1ZZivjlE3ZAYnnoHk8GToghuzTj9U3fGUZvb5Hv/r1W0cdg0FosynbVGUSp8kAvZXQtayfCDqiQZ5nTFeQsCQZ/9qvfvXr94SOdZ2jJFo2LdqyxXCYpaEaGoFr/ZTkpgcj1nURcz4/ma7aoj/M/erXbw0dJQik0pRNh6CQOjELpD+l1uvA3Wg59BB1lO1q1gt89Ktfv2+toyqycaObsjJgr8Lgh3wOG+0TMzSGjk2NIF/0aUQ5SxkQUZ8q287qdpn2TLJ+9es3jTpKQMd4gpCjmeSgkHLCPoICpvODBRqIEXhWPs2MKEYzxbAiClaZgREPmfgYw3q5zvuD3K9+/bbQQcFzuDRVk1x4YHpS1v8RdHhwfI+MqKwqgIcbi6UznUlMz4gyPGMyrdtS9cyOfvXrt01YVvSUrSAlSHGOoaI2h+uyvfLdxUIIKOdFW5MJAj9aXytkghHmOohk5tV6FvfHuF/9+q1rHeBzLGcTvcaPXBP5b14TeapJ5jJjQbEjRH1UDadrerf0dNJ+9eu3hY6kYGsFlQ5CwHq1bh+5mnaNTIeukmJKW09yBTcAWL6HJsog2apqywjQ0WNHv/r1e0JHmpekggE9CAOrO2hY/2CtYCe5Wgl2EENW7TgxhXYeoh8bFeu2ng/Qbem1xfrVr9806kjTKcKGpm6aqqqb+tGrqtYVfq4hdsAiLk9sL7IND/Ie0BkTTJmYZtQf5X716/dblk/oyPJuZU9cKf6fIPRYVdORsEE8lwqmoTFYVnU+q1dFV+swnT746Fe/fqeww4vUIEnvoOBJC/0Y/D6mcjrECDV0ODIv50yqduyBETbP2K61Ok/EfvWrX78LdLihgv5ommrcSJ6yhhBLx8+U1azI+LUe0jfh/G4UdTtDplK2y6liWkTGRy8X1q9+/UbLDqJYsEPjxvBJi+KlST7KGX3QHm4jDJQuMIoLZulg1rYlC6d27+DSr379TjEHw44gAqFUkGCgV/zIxYfih9IBgYf6x6IMhKdV0AsCYkCoI1tiiIXVjr7U0a9+/V7QgRqER/Dolnri4s8w4NDkddcmdMSgmM0z/fzguC+GkbxYDx796tfvghyi42N5fhBGkVIRV/j45SvfB3ioELFHjCdgzGGxv4IUJmGbJbLMuMhzqI8RpPoyab/69VtBBwoRepyNf1CK1H7kMlHNMF0VxASd0LddmsfxKV0QO1Dh4Ch+yHkWqP/0AqX96le/HmCP7bguhmw9F6jTH49+9atfj4UOYIfnuoxWekmffvWrX4+EDsGOn9I+7le/+vVHhx2WZffxRr/61a+nhh2y+gPRr37162fwoz8I/epXv/rVr379mev/A85uJCVGJgeNAAAAAElFTkSuQmCC"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "dbb76bd2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.620570Z",
     "iopub.status.busy": "2026-10-25T17:27:07.620503Z",
     "iopub.status.idle": "2026-10-25T17:27:07.629487Z",
     "shell.execute_reply": "2026-10-25T17:27:07.629166Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "normal  ε_xx = 1 %     recovered (xx, yy, zz, 2yz, 2xz, 2xy) % = [ 1. -0. -0.  0.  0.  0.]\n",
      "                       Tr ε = 1.0000 %,  exact ΔV/V = 1.0000 %\n",
      "uniform ε = 1 %        recovered (xx, yy, zz, 2yz, 2xz, 2xy) % = [ 1.  1.  1. -0.  0.  0.]\n",
      "                       Tr ε = 3.0000 %,  exact ΔV/V = 3.0301 %\n",
      "shear   ε_xy = 0.5 %   recovered (xx, yy, zz, 2yz, 2xz, 2xy) % = [ 0. -0. -0. -0. -0.  1.]\n",
      "                       Tr ε = -0.0000 %,  exact ΔV/V = -0.0025 %\n"
     ]
    }
   ],
   "source": [
    "G = nemo.structures.materials.load(\"klimeck2002_sp3d5s\")[\"GaAs\"]\n",
    "lat = nemo.structures.lattice.from_material(G)\n",
    "cell = Structure(lat.conventional_basis, lat.conventional_species, lat.conventional,\n",
    "                 lat.conventional_sublattice, lat)\n",
    "vol = lambda s: abs(np.linalg.det(s.periods))\n",
    "cases = {\n",
    "    \"normal  ε_xx = 1 %\": np.diag([0.01, 0, 0]),\n",
    "    \"uniform ε = 1 %\": 0.01 * np.eye(3),\n",
    "    \"shear   ε_xy = 0.5 %\": np.array([[0, 0.005, 0], [0.005, 0, 0], [0, 0, 0]]),\n",
    "}\n",
    "for name, eps in cases.items():\n",
    "    d = M.strain_structure(cell, eps, model=M.Keating)\n",
    "    e = M.atomic_strain(cell, d)[\"strain\"].mean(axis=0)             # average over the 8 atoms\n",
    "    voigt = 100 * E.strain_to_voigt(e)\n",
    "    print(f\"{name:22s} recovered (xx, yy, zz, 2yz, 2xz, 2xy) % = {np.round(voigt, 3)}\")\n",
    "    print(f\"{'':22s} Tr ε = {100 * np.trace(e):.4f} %,  exact ΔV/V = {100 * (vol(d) / vol(cell) - 1):.4f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c844b51",
   "metadata": {},
   "source": [
    "The bonds return the applied strain exactly. For the uniform expansion the trace, 3 %, differs from the\n",
    "exact volume change, 3.0301 % $= 1.01^3 - 1$, by second-order terms; for the shear the volume changes\n",
    "only in second order too, by $-\\varepsilon_{xy}^2 = -0.0025\\,\\%$. At the strains of epitaxy, a few per cent\n",
    "at most, the linear expressions are accurate to a few hundredths of a per cent, which is why the whole of\n",
    "continuum elasticity can be built on them.\n",
    "\n",
    "The rotation test of Section 1 can be repeated on real bonds. `atomic_strain` fits a local deformation\n",
    "gradient $F$ to every atom's four bonds; its default (Biot) definition removes the rotation by the polar\n",
    "decomposition $F = RU$, while the `cube_edges` definition (the one NEMO 3-D prints) keeps it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "41f771db",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.630317Z",
     "iopub.status.busy": "2026-10-25T17:27:07.630261Z",
     "iopub.status.idle": "2026-10-25T17:27:07.632736Z",
     "shell.execute_reply": "2026-10-25T17:27:07.632388Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "biot       strain of atom 0 after a 2° rotation:\n",
      "[[-0.  0.  0.]\n",
      " [ 0. -0. -0.]\n",
      " [ 0. -0.  0.]]\n",
      "cube_edges strain of atom 0 after a 2° rotation:\n",
      "[[-0.00061 -0.0349  -0.     ]\n",
      " [ 0.0349  -0.00061  0.     ]\n",
      " [ 0.      -0.       0.     ]]\n"
     ]
    }
   ],
   "source": [
    "rot = Structure(cell.positions @ R.T, cell.species, cell.periods @ R.T, cell.sublattice, lat)\n",
    "for definition in (\"biot\", \"cube_edges\"):\n",
    "    e = M.atomic_strain(cell, rot, definition=definition)[\"strain\"][0]\n",
    "    print(f\"{definition:10s} strain of atom 0 after a 2° rotation:\\n{np.round(e, 5)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b73589cc",
   "metadata": {},
   "source": [
    "With the rotation removed the strain of a rigidly rotated crystal is zero. The `cube_edges` output\n",
    "contains the rotation ($\\pm0.0349 = \\pm\\sin 2°$ off the diagonal) and its second-order residue on the\n",
    "diagonal: when reading strain files produced by other codes it matters which definition they use.\n",
    "\n",
    "## 4. Shear strain and the factor 2\n",
    "\n",
    "Why the $\\tfrac12$ in the definition, and what does an off-diagonal entry look like? Take *simple shear*:\n",
    "the bottom edge of a cell of height $a$ stays fixed and the top edge slides by $\\Delta x$, so that\n",
    "\n",
    "$$\n",
    "u_x = \\frac{\\Delta x}{a}\\,y, \\qquad u_y = 0 ,\n",
    "\\qquad\n",
    "\\varepsilon_{xy} = \\frac12\\left(\\frac{\\partial u_x}{\\partial y} + \\frac{\\partial u_y}{\\partial x}\\right)\n",
    "= \\frac12\\,\\frac{\\Delta x}{a}\n",
    "\\quad\\Rightarrow\\quad \\Delta x = 2\\varepsilon_{xy}\\,a .\n",
    "$$\n",
    "\n",
    "The side edges tilt by the angle $\\theta$ with $\\tan\\theta = \\Delta x/a = 2\\varepsilon_{xy}$, and for small\n",
    "strain, $|\\varepsilon| \\ll 1$, $\\theta \\approx 2\\varepsilon_{xy}$ in radians. The right angle of the cell\n",
    "closes by $\\theta$; edge lengths and volume are unchanged to first order. Engineers often quote the\n",
    "*engineering shear strain* $\\gamma_{xy} = 2\\varepsilon_{xy}$, the angle itself; the Voigt vectors printed\n",
    "above use it (their last entry is $2\\varepsilon_{xy}$).\n",
    "\n",
    "![Slide 6: simple shear, the tilt angle and the factor 2](attachment:slide_006_crop.png)\n",
    "\n",
    "*Slide 6. Simple shear: the top edge slides by $\\Delta x$ and the side edges tilt by $\\theta \\approx\n",
    "2\\varepsilon_{xy}$. The slide's example: $\\varepsilon_{xy} = 0.5\\,\\%$ gives $\\theta \\approx 0.01$ rad\n",
    "$\\approx 0.6°$.*"
   ],
   "attachments": {
    "slide_006_crop.png": {
     "image/png": "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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "31c28d87",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.633568Z",
     "iopub.status.busy": "2026-10-25T17:27:07.633499Z",
     "iopub.status.idle": "2026-10-25T17:27:07.637924Z",
     "shell.execute_reply": "2026-10-25T17:27:07.637650Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ε_xy (%)   θ = atan(2ε_xy) (°)   2ε_xy (°)   rel. difference\n",
      "     0.1             0.1146        0.1146        1.3e-06\n",
      "     0.5             0.5729        0.5730        3.3e-05\n",
      "     1.0             1.1458        1.1459        1.3e-04\n",
      "     5.0             5.7106        5.7296        3.3e-03\n",
      "angle between the a1 and a2 edges of the sheared GaAs cell: 89.4270° (90° − 0.5730°)\n"
     ]
    }
   ],
   "source": [
    "print(\" ε_xy (%)   θ = atan(2ε_xy) (°)   2ε_xy (°)   rel. difference\")\n",
    "for exy in (0.001, 0.005, 0.01, 0.05):\n",
    "    t_exact, t_lin = np.degrees(np.arctan(2 * exy)), np.degrees(2 * exy)\n",
    "    print(f\"{100 * exy:8.1f}   {t_exact:16.4f}   {t_lin:11.4f}   {(t_lin - t_exact) / t_exact:12.1e}\")\n",
    "d = M.strain_structure(cell, cases[\"shear   ε_xy = 0.5 %\"], model=M.Keating)\n",
    "p1, p2 = d.periods[0], d.periods[1]\n",
    "angle = np.degrees(np.arccos(p1 @ p2 / np.linalg.norm(p1) / np.linalg.norm(p2)))\n",
    "print(f\"angle between the a1 and a2 edges of the sheared GaAs cell: {angle:.4f}° (90° − {90 - angle:.4f}°)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df3fdbb2",
   "metadata": {},
   "source": [
    "At the slide's $\\varepsilon_{xy} = 0.5\\,\\%$ the angle is 0.5729° (the linear estimate 0.5730° is off by\n",
    "3.3e-5 of itself), and the two cube edges of the sheared GaAs cell meet at 89.4270°. Note that\n",
    "`strain_structure` applies the symmetric tensor, *pure shear*, in which both edges tilt towards each other\n",
    "by $\\varepsilon_{xy}$; simple shear tilts one edge by $2\\varepsilon_{xy}$. The two have the same strain\n",
    "tensor and differ by a rigid rotation through $\\varepsilon_{xy}$, the antisymmetric part of the gradient:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "066f09fc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.638815Z",
     "iopub.status.busy": "2026-10-25T17:27:07.638756Z",
     "iopub.status.idle": "2026-10-25T17:27:07.678013Z",
     "shell.execute_reply": "2026-10-25T17:27:07.677620Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 704x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "simple shear: ε = [[0.0, 0.05], [0.05, 0.0]], area change = +0.0000\n",
      "pure   shear: ε = [[0.0, 0.05], [0.05, 0.0]], area change = -0.0025\n"
     ]
    }
   ],
   "source": [
    "exy = 0.05                                                          # exaggerated, to be visible\n",
    "square = np.array([[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]], float)\n",
    "simple = square @ np.array([[1, 2 * exy], [0, 1]]).T                # u_x = 2 ε_xy y\n",
    "pure = square @ np.array([[1, exy], [exy, 1]]).T                    # symmetric: both edges tilt\n",
    "fig, ax = plt.subplots(figsize=(6.4, 4.0))\n",
    "ax.plot(*square.T, color=style.CONTEXT, ls=\"--\", label=\"unstrained cell\")\n",
    "ax.plot(*simple.T, **style.series(), label=\"simple shear\")\n",
    "ax.plot(*pure.T, **style.series(\"reference\"), label=\"pure shear (same ε)\")\n",
    "ax.set_aspect(\"equal\")\n",
    "ax.set_xlabel(\"x (a)\")\n",
    "ax.set_ylabel(\"y (a)\")\n",
    "ax.set_title(f\"Shear strain ε_xy = {100 * exy:.0f} %\")\n",
    "ax.legend(fontsize=8, loc=\"center left\", bbox_to_anchor=(1.02, 0.5))\n",
    "plt.show()\n",
    "for nm, F2 in ((\"simple\", np.array([[1, 2 * exy], [0, 1]])), (\"pure\", np.array([[1, exy], [exy, 1]]))):\n",
    "    e = 0.5 * (F2 + F2.T) - np.eye(2)\n",
    "    print(f\"{nm:6s} shear: ε = {e.round(3).tolist()}, area change = {np.linalg.det(F2) - 1:+.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e92439e",
   "metadata": {},
   "source": [
    "Both shapes have $\\varepsilon_{xy} = 5\\,\\%$; the area of simple shear is exactly unchanged, that of pure shear\n",
    "changes by $-\\varepsilon_{xy}^2 = -0.25\\,\\%$, second order again.\n",
    "\n",
    "One thing the continuum picture leaves out appears as soon as the cell holds more than one atom. In\n",
    "zincblende the two atoms of the primitive cell do not simply follow the homogeneous shear: the Ga\n",
    "sublattice shifts against the As sublattice along $z$, which trades bond-length changes for bond-angle\n",
    "changes (Kleinman's internal strain). `strain_structure` relaxes the atoms with the force field, so the\n",
    "shift can be read off by comparing with the homogeneously strained cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "480e4b3b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:07.679043Z",
     "iopub.status.busy": "2026-10-25T17:27:07.678968Z",
     "iopub.status.idle": "2026-10-25T17:27:07.683756Z",
     "shell.execute_reply": "2026-10-25T17:27:07.683357Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "internal shift of the Ga atoms along z: 0.909 pm\n",
      "Kleinman parameter ζ = u_z / (a ε_xy / 2) = 0.643;  Keating (α − β)/(α + β) = 0.643\n"
     ]
    }
   ],
   "source": [
    "eps = cases[\"shear   ε_xy = 0.5 %\"]\n",
    "homog = M.strain_structure(cell, eps)                               # no model: every atom follows ε\n",
    "relax = M.strain_structure(cell, eps, model=M.Keating)\n",
    "shift = relax.positions - homog.positions\n",
    "ga = np.array(cell.species) == \"Ga\"\n",
    "uz = np.abs(shift[ga, 2]).max()\n",
    "print(f\"internal shift of the Ga atoms along z: {1000 * uz:.3f} pm\")\n",
    "print(f\"Kleinman parameter ζ = u_z / (a ε_xy / 2) = {uz / (G.lattice_constant * eps[0, 1] / 2):.3f};  \"\n",
    "      f\"Keating (α − β)/(α + β) = {(41.19 - 8.95) / (41.19 + 8.95):.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f1ef251",
   "metadata": {},
   "source": [
    "The Ga sublattice moves by 0.909 pm, a Kleinman parameter $\\zeta = 0.643$, exactly the Keating value\n",
    "$(\\alpha-\\beta)/(\\alpha+\\beta)$ for the bond-stretching and bond-bending constants of GaAs. The strain tensor\n",
    "of the cell is unchanged by this shift, but the bond lengths and angles are not, and the electrons see\n",
    "bonds. Lecture 23.7 turns strain into band-edge shifts; atomistic tight binding needs these relaxed\n",
    "positions.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Strain describes how far atoms move relative to each other: $\\mathbf{x}' = \\mathbf{x} + \\mathbf{u}(\\mathbf{x})$,\n",
    "  and only the gradient $\\partial u_i/\\partial x_j$ matters. Rigid translations and rotations carry no strain.\n",
    "- In one dimension $\\varepsilon = \\Delta L/L = \\mathrm{d}u/\\mathrm{d}x$; positive is tensile, negative\n",
    "  compressive; typical epitaxial values are 0.1 % to a few per cent. In a clamped chain with a 7.2 %\n",
    "  longer inclusion, $u(x)$ is piecewise linear: the inclusion is compressed by 2.30 % (against its own\n",
    "  lattice constant) and the GaAs arms by 1.57 %.\n",
    "- The strain tensor is the symmetric part of the gradient; its trace is the volume change (3 % for a\n",
    "  uniform 1 % expansion, exactly 3.0301 %), and shear changes angles, not volumes.\n",
    "- In simple shear the right angle closes by $\\theta \\approx 2\\varepsilon_{xy}$: 0.573° at\n",
    "  $\\varepsilon_{xy} = 0.5\\,\\%$. Pure and simple shear share the strain tensor and differ by a rotation.\n",
    "- Atomistic strain is read off the bonds (`atomic_strain`); inside a zincblende cell the sublattices relax\n",
    "  against each other under shear ($\\zeta = 0.643$ for Keating GaAs), which the continuum strain tensor\n",
    "  does not show.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Replace the 2° rotation in Section 1 by 20°. How large is the second-order residue\n",
    "   $\\cos\\theta - 1$ of the linear strain now, and what does `finite_strain(R, \"biot\")` give?\n",
    "2. Make the inclusion of Section 2 twice as long (20 bonds) and then half as long. How do the strains\n",
    "   inside and outside change? What happens when the chain ends are free instead of clamped?\n",
    "3. Apply $\\varepsilon_{xy} = \\varepsilon_{yz} = \\varepsilon_{xz} = 0.5\\,\\%$ (a strain along [111]) with\n",
    "   `strain_structure` and `model=M.Keating`. Do the atoms still shift against each other? Compare with\n",
    "   the biaxial strain `np.diag([-0.01, -0.01, 0.0093])`.\n",
    "4. Compute the Kleinman parameter of InAs with `M.kleinman_parameter` and compare with GaAs.\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Strain along different directions](../../book/03_strain/03_01_strain_types_and_directions.ipynb)\n",
    "- [Benchmark: the strain Hamiltonian of NEMO5](../../book/15_benchmarks/15_01_nemo5/15_01_03_strain_and_phonons/15_01_03_01_strain_hamiltonian.ipynb)\n",
    "- [InAs/GaAs dot strain against NEMO 3-D's published profiles](../../book/15_benchmarks/15_03_nemo3d/15_03_03_dot_strain_profiles.ipynb)\n",
    "- L. Kleinman, \"Deformation potentials in silicon. I. Uniaxial strain\", Phys. Rev. 128, 2614 (1962).\n",
    "- P. N. Keating, Phys. Rev. 145, 637 (1966).\n",
    "- L. D. Landau and E. M. Lifshitz, *Theory of Elasticity*, 3rd ed., Pergamon (1986), §1."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
