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    "# ECE 606 Lecture 7.2: Band structure in a periodic potential — solutions\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 37112](https://nanohub.org/resources/37112) — [video](https://nanohub.org/resources/37775) · [slides](https://nanohub.org/resources/37774) · [YouTube](https://youtube.com/watch?v=ZGQf-9a61nU)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- the graphical solution of $\\cos kL = f(\\xi)$: $N$ flat lines between −1 and 1 against an oscillating, damped function of $\\xi = E/U_0$\n",
    "- allowed bands and forbidden gaps, and the band diagram $E(k)$\n",
    "- the Brillouin zone $-\\pi/L \\le k \\le \\pi/L$, the spacing $\\Delta k = 2\\pi/(NL)$ and $N$ states per band\n",
    "- comparison with finite superlattices of 30 and 80 barriers (tight binding and transfer matrices in PCPBT) and the periodic model (Periodic Potential Lab), for GaAs and InAs\n",
    "- a finite superlattice with many cells approaches the periodic potential model\n",
    "\n",
    "**In this notebook** solves the Kronig–Penney equation graphically and numerically, draws the bands in the reduced and extended zones, counts the states per band in rings of $N$ cells, reproduces the lecture's GaAs and InAs comparisons of 30- and 80-barrier structures (open-nemo transmission and an analytic transfer matrix) with the periodic bands, and explores how weak barriers open gaps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6edeface",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:37.201703Z",
     "iopub.status.busy": "2026-10-24T22:23:37.201583Z",
     "iopub.status.idle": "2026-10-24T22:23:37.776691Z",
     "shell.execute_reply": "2026-10-24T22:23:37.776180Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "\n",
    "style.use(notebook=True)\n",
    "H2M0 = nemo.core.units.HBAR2_2M0          # ħ²/2m₀ = 0.0381 eV nm²\n",
    "EM = nemo.structures.materials.EffectiveMassMaterial"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bda6d44",
   "metadata": {},
   "source": [
    "## 1. The graphical solution\n",
    "\n",
    "Lecture 7.1 reduced the periodic problem to one equation,\n",
    "\n",
    "$$\\cos kL = f(\\xi), \\qquad \\xi = \\frac{E}{U_0}, \\qquad k = \\frac{2\\pi n}{NL},\\quad n = -\\frac N2, \\dots, \\frac N2 - 1,$$\n",
    "\n",
    "where $f$ is the Kronig–Penney function of the cell (a well of width $a$, a barrier of width $b$\n",
    "and height $U_0$, period $L = a + b$) and $N$ is the number of cells in the ring that closes the\n",
    "periodic structure. The right-hand side takes only $N$ values, \"a set of $N$ flat lines between\n",
    "−1 and 1\"; the left-hand side \"is an oscillatory function with damping\". Each intersection is a\n",
    "state. The structure is the lecture's GaAs example: $a = 6$ nm, $b = 2$ nm, $U_0 = 0.4$ eV,\n",
    "$m = 0.067\\,m_0$.\n",
    "\n",
    "![Slide 3: graphical solution to the energy levels](attachment:slide_003.png)\n",
    "\n",
    "*Slide 3: the flat lines $\\cos(2\\pi n/N)$ (red) and the oscillating function $f(\\xi)$ (blue).*"
   ],
   "attachments": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9d46b5cf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:37.778360Z",
     "iopub.status.busy": "2026-10-24T22:23:37.778223Z",
     "iopub.status.idle": "2026-10-24T22:23:37.862400Z",
     "shell.execute_reply": "2026-10-24T22:23:37.862051Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 8: intersections below 0.93 eV, counted with the multiplicity of their line\n",
      "  band 1: 8 states, [0.0617 0.0655 0.0655 0.076  0.076  0.0892 0.0892 0.0961]\n",
      "  band 2: 8 states, [0.2399 0.2565 0.2565 0.2979 0.2979 0.3501 0.3501 0.3823]\n",
      "  band 3: 8 states, [0.5287 0.5731 0.5731 0.6623 0.6623 0.7677 0.7677 0.8524]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 935x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import brentq\n",
    "\n",
    "M, A, B, U0 = 0.067, 6.0, 2.0, 0.4\n",
    "L = A + B\n",
    "\n",
    "\n",
    "def kp_f(E, m=M, a=A, b=B, U=U0):\n",
    "    \"\"\"Kronig–Penney function: cos kL = f(E), valid below and above the barrier top.\"\"\"\n",
    "    al, be = np.sqrt(m * E / H2M0 + 0j), np.sqrt(m * (E - U) / H2M0 + 0j)\n",
    "    return (\n",
    "        np.cos(al * a) * np.cos(be * b) - (al**2 + be**2) / (2 * al * be) * np.sin(al * a) * np.sin(be * b)\n",
    "    ).real\n",
    "\n",
    "\n",
    "N = 8\n",
    "n = np.arange(-N // 2, N // 2)\n",
    "lines = np.cos(2 * np.pi * n / N)\n",
    "E = np.linspace(0.002, 0.93, 19000)\n",
    "f = kp_f(E)\n",
    "states = []\n",
    "for c in np.unique(np.round(lines, 12)):\n",
    "    g = f - c\n",
    "    for i in np.nonzero(np.sign(g[:-1]) != np.sign(g[1:]))[0]:\n",
    "        e = brentq(lambda x: kp_f(x) - c, E[i], E[i + 1])\n",
    "        states += [e] * int(np.sum(np.isclose(lines, c)))  # ±k give the same line: count it twice\n",
    "states = np.sort(states)\n",
    "bands = [states[(states > lo) & (states < hi)] for lo, hi in ((0, 0.2), (0.2, U0), (U0, 0.93))]\n",
    "print(f\"N = {N}: intersections below 0.93 eV, counted with the multiplicity of their line\")\n",
    "for j, s in enumerate(bands, start=1):\n",
    "    print(f\"  band {j}: {len(s)} states, {np.array2string(s, precision=4)}\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8.5, 4))\n",
    "ax.plot(E / U0, f, color=style.sweep(4)[3], lw=1.2, label=\"f(ξ)\")\n",
    "for c in np.unique(np.round(lines, 12)):\n",
    "    ax.axhline(c, color=style.OPEN_NEMO, lw=0.8, alpha=0.7)\n",
    "ax.plot(states / U0, kp_f(states), \"o\", ms=3.5, color=style.REFERENCE)\n",
    "ax.set(\n",
    "    xlabel=\"ξ = E / U0\",\n",
    "    ylabel=\"cos kL  and  f(ξ)\",\n",
    "    ylim=(-3, 3),\n",
    "    xlim=(0, 2.4),\n",
    "    title=f\"graphical solution, N = {N}: lines cos(2πn/N)\",\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b155ff90",
   "metadata": {},
   "source": [
    "Intersections exist only where $f$ lies between −1 and 1. Every band holds $N = 8$ states: the\n",
    "lines at $\\cos kL = \\pm 1$ ($k = 0$ and $k = -\\pi/L$) cross once each per band, and the other six\n",
    "lines are doubly counted because $+k$ and $-k$ give the same cosine. Where $|f| > 1$ there is no\n",
    "intersection for any $N$: a gap.\n",
    "\n",
    "## 2. The band diagram\n",
    "\n",
    "Turning the figure by 90° and plotting each intersection at its $k$ gives the band diagram\n",
    "$E(k)$. With large $N$ the points merge into continuous curves. Two common ways to draw them are\n",
    "the reduced zone, all bands folded into $-\\pi/L \\le k \\le \\pi/L$, and the extended zone, band $j$\n",
    "placed in $(j-1)\\pi/L \\le |k| \\le j\\pi/L$. In the extended zone the bands follow the free-electron\n",
    "parabola $\\hbar^2k^2/2m$ and break away from it at $k = j\\pi/L$, where the gaps open.\n",
    "\n",
    "open-nemo computes the same bands from the discretized Hamiltonian of one cell (`nemo.lead_bands`),\n",
    "and the 8-cell intersections are compared with it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "441c2ce7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:37.863865Z",
     "iopub.status.busy": "2026-10-24T22:23:37.863767Z",
     "iopub.status.idle": "2026-10-24T22:23:38.764182Z",
     "shell.execute_reply": "2026-10-24T22:23:38.763682Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "largest |intersection − open-nemo eigenvalue| for the 24 states: 0.26 meV\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " band   bottom (eV)   top (eV)   width (meV)   gap above (meV)\n",
      "  1      0.0617      0.0961        34.5           143.8\n",
      "  2      0.2399      0.3822       142.4           146.4\n",
      "  3      0.5286      0.8521       323.5            92.3\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x495 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "DX = 0.05\n",
    "\n",
    "\n",
    "def cell_lead(m=M, a=A, b=B, U=U0, dx=DX):\n",
    "    cell = nemo.Heterostructure1D(\n",
    "        [nemo.Layer(EM(\"well\", m, 12.9), a), nemo.Layer(EM(\"barrier\", m, 12.9, conduction_band_edge=U), b)],\n",
    "        spacing=dx,\n",
    "    )\n",
    "    h = cell.hamiltonian.sparse.dense().real\n",
    "    V = np.zeros_like(h)\n",
    "    V[-1, 0] = -H2M0 / (m * dx**2)\n",
    "    return nemo.Lead(h, V)\n",
    "\n",
    "\n",
    "lead = cell_lead()\n",
    "nemo_states = np.sort(np.concatenate([lead.bands(np.array([2 * np.pi * j / N]))[0][:3] for j in n]))\n",
    "print(\n",
    "    f\"largest |intersection − open-nemo eigenvalue| for the {len(states)} states: \"\n",
    "    f\"{1e3 * np.abs(states - nemo_states[: len(states)]).max():.2f} meV\"\n",
    ")\n",
    "\n",
    "kL = np.linspace(-np.pi, np.pi, 401)\n",
    "Ek = np.array([lead.bands(np.array([q]))[0][:4] for q in kL])\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4.5), sharey=True)\n",
    "for j in range(4):\n",
    "    a1.plot(kL / np.pi, Ek[:, j], color=style.OPEN_NEMO)\n",
    "    # extended zone: band j (from 0) occupies j·π/L ≤ |k| ≤ (j+1)·π/L\n",
    "    kext = j + np.abs(kL) / np.pi if j % 2 == 0 else j + 1 - np.abs(kL) / np.pi\n",
    "    a2.plot(kext, Ek[:, j], color=style.OPEN_NEMO)\n",
    "    a2.plot(-kext, Ek[:, j], color=style.OPEN_NEMO)\n",
    "a1.plot(\n",
    "    2 * np.pi * n / N / np.pi,\n",
    "    np.array([lead.bands(np.array([2 * np.pi * j / N]))[0][:3] for j in n]),\n",
    "    \"o\",\n",
    "    ms=3.5,\n",
    "    color=style.REFERENCE,\n",
    ")\n",
    "kk = np.linspace(-4, 4, 400)\n",
    "a2.plot(kk, H2M0 * (kk * np.pi / L) ** 2 / M, \"--\", color=style.CONTEXT, lw=1, label=\"free electron ħ²k²/2m\")\n",
    "for ax in (a1, a2):\n",
    "    ax.axhline(U0, color=style.CONTEXT, lw=0.6, ls=\":\")\n",
    "a1.set(\n",
    "    xlabel=\"k L / π\", ylabel=\"energy (eV)\", ylim=(0, 1.1), xlim=(-1, 1), title=\"reduced zone (dots: N = 8)\"\n",
    ")\n",
    "a2.set(xlabel=\"k L / π\", xlim=(-4, 4), title=\"extended zone\")\n",
    "a2.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()\n",
    "\n",
    "print(\" band   bottom (eV)   top (eV)   width (meV)   gap above (meV)\")\n",
    "tops = [Ek[:, j].max() for j in range(4)]\n",
    "bottoms = [Ek[:, j].min() for j in range(4)]\n",
    "for j in range(3):\n",
    "    print(\n",
    "        f\"  {j + 1}      {bottoms[j]:.4f}      {tops[j]:.4f}      {1e3 * (tops[j] - bottoms[j]):6.1f}\"\n",
    "        f\"          {1e3 * (bottoms[j + 1] - tops[j]):6.1f}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a4d5f0a",
   "metadata": {},
   "source": [
    "The intersections of the graphical solution and open-nemo's eigenvalues at the same eight $k$\n",
    "values agree to the small error of the 0.05 nm grid. In the extended zone the bands hug the\n",
    "free-electron parabola above the barrier top and fall below it in the wells, as a lower average\n",
    "potential requires; at each $k = j\\pi/L$ the curve jumps across a gap. The intersections of the\n",
    "graphical solution agree with open-nemo's eigenvalues to within 0.26 meV. The first gap (0.096 to\n",
    "0.240 eV, 144 meV) is four times wider than the first band; the second gap (0.382 to 0.529 eV,\n",
    "146 meV), which straddles the barrier top, is as wide, and the third is narrower (92 meV): far\n",
    "above the barriers the electron feels them less and the gaps shrink.\n",
    "\n",
    "## 3. The Brillouin zone and the number of states\n",
    "\n",
    "The allowed $k$ values are spaced by $\\Delta k = 2\\pi/(NL)$, and the zone $-\\pi/L \\le k < \\pi/L$\n",
    "has width $2\\pi/L$. The number of states per band is therefore\n",
    "\n",
    "$$\\frac{k_\\mathrm{max} - k_\\mathrm{min}}{\\Delta k} = \\frac{2\\pi/L}{2\\pi/(NL)} = N,$$\n",
    "\n",
    "independent of the shape of the band. Klimeck's example: four states per atom and $N$ atoms give\n",
    "four bands with $N$ states each. (A factor two for spin is added when electrons are counted.)\n",
    "\n",
    "![Slide 5: Brillouin zone and number of states](attachment:slide_005.png)\n",
    "\n",
    "*Slide 5: the discrete $k$ points of the ring, $\\Delta k = 2\\pi/(NL)$, and $N$ states per band.*\n",
    "\n",
    "The count is checked on rings of $N$ cells built from open-nemo's cell Hamiltonian, without using\n",
    "Bloch's theorem: the eigenvalues of the whole ring are sorted into the energy windows of the bands.\n",
    "A coarser grid (0.1 nm) keeps the matrices small."
   ],
   "attachments": {
    "slide_005.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "25efeddd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:38.765503Z",
     "iopub.status.busy": "2026-10-24T22:23:38.765409Z",
     "iopub.status.idle": "2026-10-24T22:23:40.134814Z",
     "shell.execute_reply": "2026-10-24T22:23:40.134199Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  N cells   ring sites   states in band 1   band 2   band 3\n",
      "      4         320              4             4        4\n",
      "      8         640              8             8        8\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     16        1280             16            16       16\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     32        2560             32            32       32\n"
     ]
    }
   ],
   "source": [
    "lead_c = cell_lead(dx=0.1)\n",
    "h, V = lead_c.h0, lead_c.h1\n",
    "edges = [(bottoms[j] - 0.01, tops[j] + 0.01) for j in range(3)]\n",
    "print(\"  N cells   ring sites   states in band 1   band 2   band 3\")\n",
    "for Nr in (4, 8, 16, 32):\n",
    "    S = np.roll(np.eye(Nr), 1, axis=1)\n",
    "    H = np.kron(np.eye(Nr), h) + np.kron(S, V) + np.kron(S.T, V.T)\n",
    "    ev = np.linalg.eigvalsh(H)\n",
    "    counts = [int(np.sum((ev > lo) & (ev < hi))) for lo, hi in edges]\n",
    "    print(\n",
    "        f\"    {Nr:3d}       {H.shape[0]:5d}            {counts[0]:3d}           {counts[1]:3d}      \"\n",
    "        f\"{counts[2]:3d}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3a9c567",
   "metadata": {},
   "source": [
    "Every band of an $N$-cell ring holds exactly $N$ states, for every $N$. As $N$ grows the states\n",
    "fill the band more densely but never spill into the gaps: the band edges are fixed by the cell, the\n",
    "number of states by the size of the crystal.\n",
    "\n",
    "## 4. Finite superlattices against the periodic potential\n",
    "\n",
    "The lecture closes the loop with Section 6. For the GaAs superlattice it compares three\n",
    "calculations: the periodic model of the Periodic Potential Lab (PPL), and the transmission\n",
    "resonances of finite structures with 30 and 80 barriers computed in PCPBT with tight binding (TB)\n",
    "and with transfer matrices (TM). The resonance energies are placed on a normalized $k$ axis and fall\n",
    "on the periodic bands. The same comparison follows here with open-nemo's transmission (a\n",
    "discretized, tight-binding-like Hamiltonian, as in PCPBT) and an analytic transfer matrix. Lecture\n",
    "6.4 showed why the resonances can be placed on the $k$ axis: for $N_b$ identical barriers, with\n",
    "wells and contacts of the same material, the transmission is exactly one at\n",
    "\n",
    "$$q_jL = \\frac{j\\pi}{N_b}, \\qquad j = 1, \\dots, N_b - 1 .$$\n",
    "\n",
    "![Slide 6: GaAs, 30 barriers: PPL, tight binding and transfer matrices](attachment:slide_006.png)\n",
    "\n",
    "*Slide 6: GaAs, 6 nm wells, 2 nm barriers, 0.4 eV: the periodic model (circles) and 30-barrier\n",
    "tight-binding and transfer-matrix results (lines), on a normalized (extended-zone) $k$ axis.*"
   ],
   "attachments": {
    "slide_006.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "aa5739df",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:40.136505Z",
     "iopub.status.busy": "2026-10-24T22:23:40.136324Z",
     "iopub.status.idle": "2026-10-24T22:23:44.447002Z",
     "shell.execute_reply": "2026-10-24T22:23:44.446402Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30 barriers: peaks per band (open-nemo, transfer matrix) = [(29, 29), (29, 29)], expected 29 each\n",
      "   largest |E transfer matrix − E_KP(q_j)| = 5.1e-03 meV;  largest |E open-nemo − E transfer matrix| = 0.067 meV\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "80 barriers: peaks per band (open-nemo, transfer matrix) = [(79, 79), (79, 79)], expected 79 each\n",
      "   largest |E transfer matrix − E_KP(q_j)| = 5.1e-03 meV;  largest |E open-nemo − E transfer matrix| = 0.067 meV\n"
     ]
    }
   ],
   "source": [
    "from scipy.signal import find_peaks\n",
    "\n",
    "\n",
    "def superlattice(Nb, m=M, dx=DX, lead_len=10.0):\n",
    "    \"\"\"Nb barriers (B wide, U0 tall) separated by Nb - 1 wells (A wide), contacts of well material.\"\"\"\n",
    "    w_mat, b_mat = EM(\"well\", m, 12.9), EM(\"barrier\", m, 12.9, conduction_band_edge=U0)\n",
    "    layers = [nemo.Layer(w_mat, lead_len)]\n",
    "    for j in range(Nb):\n",
    "        layers.append(nemo.Layer(b_mat, B))\n",
    "        layers.append(nemo.Layer(w_mat, A if j < Nb - 1 else lead_len))\n",
    "    return nemo.Heterostructure1D(layers, spacing=dx)\n",
    "\n",
    "\n",
    "def tmm_T(E, Nb, m=M):\n",
    "    \"\"\"Analytic transfer matrix (ψ, ψ') through Nb barriers; contacts of well material at 0 eV.\"\"\"\n",
    "    al, be = np.sqrt(m * E / H2M0 + 0j), np.sqrt(m * (E - U0) / H2M0 + 0j)\n",
    "\n",
    "    def layer(q, d):\n",
    "        c, s = np.cos(q * d), np.sin(q * d)\n",
    "        return np.moveaxis(np.array([[c, s / q], [-q * s, c]]), (0, 1), (-2, -1))\n",
    "\n",
    "    P = layer(be, B)\n",
    "    total = P.copy()\n",
    "    cell = P @ layer(al, A)\n",
    "    for _ in range(Nb - 1):\n",
    "        total = cell @ total  # (ψ, ψ') on the right = total · (ψ, ψ') on the left\n",
    "    # incident e^{iαx} + r e^{-iαx} on the left, t e^{iαx} on the right: solve for t\n",
    "    m11, m12, m21, m22 = total[..., 0, 0], total[..., 0, 1], total[..., 1, 0], total[..., 1, 1]\n",
    "    t = 2j * al / (1j * al * m11 - m21 + al**2 * m12 + 1j * al * m22)\n",
    "    return np.abs(t) ** 2\n",
    "\n",
    "\n",
    "def peak_energies(T, E):\n",
    "    p = find_peaks(T, height=0.5)[0]\n",
    "    return E[p]\n",
    "\n",
    "\n",
    "def band_grid(lo, hi, n=20000, pad=2e-5):\n",
    "    \"\"\"Energies dense near the band edges: uniform in q for a cosine band, E = mid − (W/2) cos θ.\"\"\"\n",
    "    th = np.linspace(0, np.pi, n)\n",
    "    return np.r_[lo - pad, 0.5 * (lo + hi) - 0.5 * (hi - lo) * np.cos(th), hi + pad]\n",
    "\n",
    "\n",
    "def kp_edges(m=M, emax=0.39):\n",
    "    \"\"\"Band edges (eV) of the analytic Kronig–Penney model below emax: pairs (bottom, top).\"\"\"\n",
    "    Eg = np.linspace(1e-4, emax, 20000)\n",
    "    s_ = np.sign(np.abs(kp_f(Eg, m=m)) - 1)\n",
    "    x = [brentq(lambda e: abs(kp_f(e, m=m)) - 1, Eg[i], Eg[i + 1]) for i in np.nonzero(s_[:-1] != s_[1:])[0]]\n",
    "    return [(x[i], x[i + 1]) for i in range(0, len(x) - 1, 2)]\n",
    "\n",
    "\n",
    "def nemo_edges(m=M, nb=2):\n",
    "    \"\"\"Band edges of open-nemo's discretized cell (the same grid as the device), from k = 0 and π/L.\"\"\"\n",
    "    e0, epi = (cell_lead(m=m).bands(np.array([q]))[0][:nb] for q in (0.0, np.pi))\n",
    "    return [(min(x, y), max(x, y)) for x, y in zip(e0, epi)]\n",
    "\n",
    "\n",
    "def kp_energy(q, lo, hi, m=M):\n",
    "    \"\"\"Kronig–Penney energy in band (lo, hi) at Bloch wave number q (q L in radians).\"\"\"\n",
    "    return np.array([brentq(lambda e: kp_f(e, m=m) - np.cos(qq), lo, hi) for qq in q])\n",
    "\n",
    "\n",
    "results = {}\n",
    "for Nb in (30, 80):\n",
    "    dev_h = superlattice(Nb).hamiltonian\n",
    "    counts, dmax, dkp = [], 0.0, 0.0\n",
    "    for (lo_n, hi_n), (lo_k, hi_k) in zip(nemo_edges(), kp_edges()):\n",
    "        En, Ek_ = band_grid(lo_n, hi_n), band_grid(lo_k, hi_k)\n",
    "        e_n = peak_energies(nemo.Transport(dev_h).transmission(En), En)\n",
    "        e_t = peak_energies(tmm_T(Ek_, Nb), Ek_)\n",
    "        e_q = np.sort(kp_energy(np.arange(1, Nb) * np.pi / Nb, lo_k, hi_k))  # predicted: q_j L = jπ/Nb\n",
    "        counts.append((len(e_n), len(e_t)))\n",
    "        results.setdefault(Nb, []).append(e_n)\n",
    "        if len(e_t) == len(e_q):\n",
    "            dkp = max(dkp, np.abs(np.sort(e_t) - e_q).max())\n",
    "        if len(e_n) == len(e_t):\n",
    "            dmax = max(dmax, np.abs(e_n - e_t).max())\n",
    "    print(f\"{Nb} barriers: peaks per band (open-nemo, transfer matrix) = {counts}, expected {Nb - 1} each\")\n",
    "    print(\n",
    "        f\"   largest |E transfer matrix − E_KP(q_j)| = {1e3 * dkp:.1e} meV;\"\n",
    "        f\"  largest |E open-nemo − E transfer matrix| = {1e3 * dmax:.3f} meV\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6180ff13",
   "metadata": {},
   "source": [
    "Both methods find $N_b - 1$ resonances in each of the two bands below the barrier top, for 30 and\n",
    "for 80 barriers. (The resonances next to a band edge are spaced by only about 0.01 meV for 80\n",
    "barriers, so the energy grid is made dense near the edges, uniform in $q$.) The transfer-matrix\n",
    "resonances lie on the Kronig–Penney band at $q_jL = j\\pi/N_b$ to within 0.005 meV (the\n",
    "resolution of the energy grid), and open-nemo's\n",
    "differ from them by at most 0.067 meV, the discretization error of open-nemo's 0.05 nm grid (PCPBT's\n",
    "tight-binding and transfer-matrix curves differ for the same reason). The figure places them on\n",
    "the normalized $k$ axis, together with the periodic bands from the Kronig–Penney equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b2f98816",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:44.448301Z",
     "iopub.status.busy": "2026-10-24T22:23:44.448200Z",
     "iopub.status.idle": "2026-10-24T22:23:45.010700Z",
     "shell.execute_reply": "2026-10-24T22:23:45.010244Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GaAs, 30 barriers: open-nemo peaks per band = [29, 29] (expected 29)\n",
      "GaAs, 80 barriers: open-nemo peaks per band = [79, 79] (expected 79)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InAs, 30 barriers: open-nemo peaks per band = [29, 29] (expected 29)\n"
     ]
    },
    {
     "data": {
      "image/png": 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okNm48hqGOvUYdatZ6Nbuzc7usG3bt9FugNOrT0/8MOsHNfJ65fIVtcRIOq3ZuZ4abdq1UcdOT2b3a+jWXJTlP2mRpUepd9lN6/iv+vdHRKQPdGNETOzTlRde12+gS4euKR47bsJY1UmRDsofC/7E0iXL0uxYSTkBmYGj2TBOOq+aurftO7RTs3gktn715WR1rE0bN2Pil5+ptsh7s6b2/pSvpqF6jWooU7aMeh/XzHJ6HrJSRcoQSDukZv6Sf/9RndhPP/pMJUB/+elXVK5cCR07d1SzXzV0SxuliK2GWR+jl4FGab+oW68OGjdtrGYhy4yl69euq8Rodq6nhsQs3bIUqWV2v8ahg09ngc/7bb76Sk02AZTPBZkd/1X9/oiI8htZfThm/BgVEyUZqJkhqzvp6ejho9qB2noN6qmZpBILZJKSrK6QMjzSJ3N2cda+/4qZ02aiYeOG6v23Zs0acG/j/sLtlVUykqwUUk5PNk+VlR0S42UAUN7ndfcKSF1qUTeG6sbZjEif7O3/VpeWKFlCvY4kVOXYJ0+cUpOTZIBSBlQlnqbev0bICk9NvWINWaEy6esv093gPbP7NQ4deNo3lRm/8pVW3zQrx3/Vvz8iyvuYANYhy0hOnUyeoeN1zStFYJDRSFkiqakvqCH17DTJWwmuToWcYGxkrOoByWwaWWapIQF325bt2p8liSgJTZkNKss2ZSmJBBpZqiHLWD74aDzCwyOwfet2LP77nxSjnZMmf6lNFL/wH4GxMd54cxiWL/0XXte91JJMqVsoy2WdXQrjyn8rbaRzqBGsszFa4cLJI6VZkXp5ilwvSQBLkJWd0n+ftyDL11OXZhZTejK7X0NTIF9e28XFJc3HpNUpT+v4OfX7IyLKy3SXaOrGVlPT5Jk+UgtXknm6li5eiunTnpYkkM6odGICgwLVahkRH5+Q5kY1derW0Q4WVqxUQS0Flc6rDMi1aNlc1Qf2fuCtSgmsXb1WfQnpGL/17gh8OvGT5zpP2S1dk4Tu1aeXdrmqbAKnKQckNfYkAezs7Kx9XsrY+vQ6aGYhZUWhwilja6H/ahELSQJn93pqlMpktUpm9z9tQ1iK89LtwGuk1QlO6/iv6vdHRJTfSKwxNzdL0eeT/qjuig/dGb4NGzbQxs9GjRuqVaHy2E0bNqkSfLK6Zsas6aoe7d49+9SXpt/UuUsntVm6ZgXKi5LVlLJXjgyeapKckgCWvmla8VPib0R4hLavpTuLOCP29vYp2ix9T91+4bGjx/H+e2O0t0kpBVm5IyuWNPWRE9LYeFUS5uYW5um+bmb367YhdexOTXdlbkbHz8nfHxHlTSwBoaNjp47a76X2j6aou8yGldHIEe88rZWksXvXHvWvvBnv99irauccPuGhar6mJh0/3XIJvbv3UUXamzVsrpK/QhKhG/8LxLIhzMzvpqvljcdOHcGKNf+iXv26aqbOV198rTYZ05DN3CRgpy5En5a0lnnK68pxU6tTp472e83mAJoaTRq169ZGVt39b5M9TaD2fpBcbkGCjb2DQ7aup67MRnmzOgrs4uKsvR7rNq3RLpnVfB056YnBwwZn6fjZ+f0REeVX7Tq0U8tKxYH9B3HxwkX1vayKkPfVqTOerYe+e/de7ff/LF+slinKY93c3J55rGxycuF88jHFB2MnaDdrkeRv6jIQ8v7+0acf4vjpo6qEwPrN69Cla2fVKZ7/2+9qIFS3tISmPEVmdDeMkbqJGpGRUc/cLknqtGPr0+9r6zwmM/d0YqtmQ1XdhGt2rqcuw0xW+GR2v4ZLkacJb6mpmDq2ytfnkyZm6fjZ+f0RERVkqVdpajZf1ZCShju379T+LPWCNfFTtyTg+nUbtX1IScru89iryttt2blZ1ZmX92V5/PatO7TPkQlFmvipGRzNTt9UaBK6utKLn9d0ZufWql3zmXNNj8R53fJTuqtkZJLTXp34+eXXX6iSfhKzZLVRRjJbIZvVFbSSyNUYNea9NOPnH/9blKXjZ+f3R0T5ExPAOmQJf5OmjdX3MtO3f+/X1S6ikrS8c/uOtjasLmtrK+0bqjzm5o2bmPjJ58/smCrWr3la/qFQISc180nzJTULNTR1br/47EtVhkDqNEl7ZHM4TSdaOjoBAf7a57Ro2koF6/59BmT6S5d6u+PeH6+SrTdv3lKd8Y8nfKJm1GhGFytWrKC+7/1ab7V8SMjs3OPHTuDggUP4Z/ESdZuNrQ26dU+5hDcj0vmXmcZynWZMm6k2eBONmzRSI9TZuZ6vgszM0pCdVWXUV9rhecgTv8z+Fc0bt0Ro6NMPCRnJzu+PiCi/cnMrpzocQjoZw4e8qcoOSfyRmvi3b91+5jnWOrVwpTMm78PyHizlglKT0kkasnGnbmyVL00naOeOXSoBu2D+Qrz39ii1OkOWlspMXWOTpzNefH39tN8PGTBM2xnOjJQi0Pjn7yU4cvgorly+itk/zNbeXqNGdfVv8iym5E7d2tXrsGP7TjW7Sc5RSKzo//pryCpJ+MpO73JN/1z0l7bermtxV1VGITvX81XH1kkTv1JxUT5byWcKWWrboU1HVQc4K7Lz+yMiovRJmUPNJCSpQZ86fmr6gLJxqWwMJzNG+/cdgHVr1qv3cBtr6xQzUv18n5aW+HrSZG38lHJ4GZHj9+jSE6tWrFL9Uollsmn2kn+e1i2WvqKQmFa/QT31vayclZWjsmn5N5Onax87YFDm/WEN6ZN9OXGSGjyUUg9SE1/IeTVp1hhW//VNNROu5LxlVY9ugvxVknJWmv7jrz/PUSueJIbLZwaZsNavz+tYsyp5lVFmsvP7I6L8iXP8U5m/cB5GvTtaLRWVTVvGjU67ILvJf8sjZJnnt9NnqYTl8KEjtPfLqKNuXSJZvrF37z5tSYkDh/c/szSlbav2KuEpQVKCX1xcvFraKG/uaXU0XV1dn+uXrmYZr9+kDXApzsvEBDO+m67dGE5KUXw95SuVzPTz9UP/Pk/LFkin+tvvZsLewT5bry+7j+qS6/HZF59l63q+KiPeHgGPg544dvSYqkf4et+UHyAkABsaZm1E+VX9/oiI9I1sfhkVFa3eE/39A1RnKy0mxsmxp1ffXti2NblkktSl130P1q2/p+LZhqexbM36VWpmsa53RozErh271ECiZqbT9m071FdqMlu2dp1az3WO9erXU7X9d2zbqeopDuw3KMX95dzK4fX/Sv/IgOePP3+PEW+8rZLSI996L8VjP/z4A1ULMavkusjMLfnSve2rKZPUv1m9nq+K7Cr/Wv++qtMsyeo3hyXXW9RlbJz1/QRexe+PiKig0d0gddYP36Jr9y4p7peBRU1ckX1s6tWri+NHj6uv1CRZ3Kp1q+dqh5GRsRoETG8gsG+/PmjWopn255nfz1QTtaRGsexho6tHr+7o1iPrk5MkDqbVLx73wRhVB1lWmEjdeimXJAOWmg3XNEnZnBhEl03qpH8sJZ3Gj5nwzGP69c/agLGUMXwVvz8i0h9MAKcis4eWrliCvbv3Yevmrbh69ZrqNDo42MPZxQW1atVEh07ttR3Md0a+rUbOpAMaGBCo6tUNeWMI5v46F4/9nqgZskJmkDo6OGpnGqdVl0hqwi76/Q/1/cH9h1T5gJbuLbBj6w6VjJZZpFLLqWmzJnjrnafJUZlFGxcbp77X7EiakfEfjlMbsW3dvE3V+pXzk9q80mkaNGQQyrmVTfH4QUMGomy5slj89+Lk+o0GBqharYpKlsoSm8yYmZupUWQhHUApl3D0yDGVUJYd4WWHbzledq5n6uPa2Dy9/UXul0750hX/YM2qtapzKctqjU1M1CyqBg3qoXff3trHZnb8rP7+iIjyOxlUlITn6wP7Yd2aDWqQU2r3yXunlN6pVKUSOnTsoDZP05Re+m3+HPzzv3/UZjXyGBkglNhx6sQp7catMsNW4p+8F5ev4PZM8lfITNoL/3UqZXBXOrmyEcqm9Ztw8+ZNBAQEwtHRAXXr1cXbI9/Svp9LcvnJ4+TNSDWrgzIz9/ffsGrFahU/7t+9h4TERNX25i2bq83MdGN/8xbNsXnbRiyYvwgXzl9AfFycmtkks6Vbt22d6WsZGRtrY1CzFk1RvUZ1leiW1UouRYtg5HvvaDd1yer1TH1cuS4ZvW527v/+p+/Qpm1rbFi/UW0AmJSYiGKuxVCjVg306dtbnXtWjj9y1LtZ+v0REeV3Uv9d836pmbwj5DYrSys4p6olX6SIiypLJLdL2QMvrxvqsZaWFmjbvu0zx5eNNTU17E8cO6lqrEvZHRnMlZJFfn5+avVm1WrVVIzTvI8LX5/k1Riy141srpYR6Qdu3bkFK5avUHFdc9wKFSuge4/uz2y0LUnRrTs34/f5C1UyU/qyMmmpZ+8e6Nuvb5auneYalShZXLVdM0Ap+/K8PvB17V4t8rli2YolmPPLXDVr1t7eTq3ikcHbDWs3avuEmV37F7lfyjTIBq/Ll67A5UuX1IB6kaJFUKlSRbVpXd36dbN0fGl3Vn9/RJQ/GSTlxLRKeqVkKYiMBkqSVoKhzKglIiKi5ydJ6m6deqiB4R27t6FosaK8nERERJmQSS+1q9VVK0xWrVupkpdERJT7OAM4H7h44RKKFSuKX36bzeQvERHRS3DuzDk1k2bS5C+Z/CUiIsqi82fPq/IJsoqUyV8ioryDM4CJiIiIiIiIiIiI8qmcqV5ORERERERERERERDmOCWAiIiIiIiIiIiKifIoJYCIiIiIiIiIiIqJ8iglgIiIiIiIiIiIionyKCWAiIiIiIiIiIiKifIoJYAAJCQkIDAhU/xIREdHLwfhKRET0cjG2EhHR82ACGEBIcAg+GPmJ+ldf3b/pDX2mz+3X57bre/v1ue363n59bjvlHH2Pr/r+d67P7dfntut7+/W57YLtp/yOsTV36fN7jD63XbD9vPYF9W/nZWECOJ9ITEyCPtPn9utz2/W9/frcdn1vvz63naig/J3rc/v1ue363n59brtg+4nyNv4f5bXn347+4f/b/IEJYCIiIiIiIiIiIqJ8iglgIiIiIiIiIiIionyKCWAiIiIiIiIiIiKifIoJYCIiIiIiIiIiIqJ8yji3G0BERPSqJCUlwcDAgBeYiIjoJUlMSESIbxhCHochxC8MhUs7olglF15fIiKiPIwJYCIiylcJ3yd3AuF15DZuHLmLVm82RJl6JXO7WURERHorIT4Bj6764c7pB3h4xRd+t/wRFx2vvb9+7xpMABMREeVxTAATEZFeS0pMgo/XY3gduYMbR+4g2CdU3V60gnNuN42IiEhvY+uDi49wZf8NFV9jImJhYGiAwmWcULlVebiUKwT7orawc7aBjbN1bjeXiIiIMsEEML2Qo0eOoXLlSrB3sH/uY/j5+uHWrVsoXaEEfxsv0b2795CYmIgyZcvwulK+FBMZizObLuHctssID4hUHdMS1Yqibo/qKN+4NGwKsUNK+unihYtwcHRE8eKuz32MiIgIXLh4gbH1JfP394evjy+qVa/2sg9NlGdi66U913Fm8yUEPwqFsZkx3BqWgluj0ihduzgsbM1zu4lEz+XunbuIjo5GpcqVXmil2YkTJxhbX7KYmBicPnUGTZo2ftmHJiId3ASOlBPHT6hOTXb9+N2PuH37zgsd4+tJkxEVFaW+lzf++/fua+8LCwvDti3bEBwU/FJ/Uzu271TJ0ee1Z9de1a6dO3bh9u1byItMTEzwwdgP1QcVovwkNioOx1edxcI3l8NzyUk4FrdHh7EtMWrpEPSf2Q11ulVj8pfyhMuXrqjBuOxa+s8yHD189IWOMW/OfHg/eKC+v37tOq5cvqq9Lz4+XsVBb++HeJk8D3kiNDR5Bv7zDipLbN2xbQeuXr2aJ+OXtbUNPp7wqfp8QpSfRIfH4PDyU1jwxjLsW3AEpham6Di+JUYvHYJun7ZF5ZZuTP5SniB9xUuXLmf7eXv37MPa1ete6BibNm7GyZMn1PcPHz5U/V9dBw8cwrWr1/AynT93Xr3W85LzlNi6fet2XLhwHtHRMchrzMzMMOfn33DzZt7sVxPlF0wAk7bT5f8k+8nbFz3Gndt3cP/eA1SrljyT5vd5C3DooIf6PjAwEANeG4SrV6690AzjtEgQTEhIeO7nfzzhE/y7bAXWrFqLDz/6CBPGfYS8pphrMRQp6qI+iBDlB3HRcTix9rxK/B5afALOZZ0w4Pse6D+jG2p0qARLO4vcbiJRCpcuXsSdO3dz/BiRkZFYv3Y92rZtp35ev24DVq9crb6Xjt/It0epjmCRIi930yaJ3yEhz58AlkHlRQv+xIb1GzHtm6no17s/4uLikJeYm5uhdRt3rFqRfD2J9F18bDyOrzmnYuuRZadVLd8Bs7pj6C+9Ub1dJZhamuZ2E4lSuHfvHi6cu5Arx/h97gL06NlTfX/i2En88tOv2vumT52hfi5arNhL/Y2dOX0WD19gwHb5kuX46YefsWnDZvzy669o597+uSZtvWqvD+qPRb8vyu1mEOVrTAC/YjLLRmbDyL8vmyRcJUkqs3rOnTunlk7oCgoMgschDxU0dGe7ap4nM4I0o5aNmzRCocKFtI+R5Y0H9h9McxROZiId9jj8zOyX1MeQ15fZQJJsTW+EdfPGLWjbrs0zt8vr9+v9Onr07I4PP5mQbrvFDa8bKsn52O9ximPI60rH8fTJ02pmsa7OXTvDyMhI+/OF8xdw6uQpxMbGqplHWfHl119g0V8L8Mcff2DThk1qWZGQxLKM1EpHWK6Bhsy0kteRc5D7dEdyM7ovo2PKDC7dzrFcg+PHnl6bdu3bqWBPpM/vn3GxcTi79TIWjvgXB/86BqcS9mqmryR+i1cpktvNpHwWW6X8woMH3uo9/dTpU8/EOimtcOzocfWlO4tG8zyZVaQZeKtWvTrKlCn9TFxOKybK+7fcl7pTlvoY8vryPi8JXGlDWvbvPYDadWrD1DRl4kae++bQN+HsXBizf/0JxsbGabZbyG3yOSD17GOJQ3JN5ByOHD6aIga1aNkcdna22p9v3ripHiMJaXme/JuZt98dgd8Xzcfff/8P3g8e4pBOm65euYr9+w7A55GP9jZZISSvER4erj6byGtm5b6Mjim/B92VR3Ld9u3Zp/25XYd2ahYYkV7H1rg4eB2+jb9GrsKhv4/Dxa0wBv/UC32ndkbxakVhYGCQ202lfBRbJaZKn1Vi3cmTJ5+JdfL3KH1Wef/VHUjUPu/xE/U+LH21UqVKoUatGtrHSGyRfqL0+VIPGsqx5JgS03SlPoY87+yZcyq2ykrPtEgMkccVdy2e4nbpZ3/28UQVT5au+EfFwbTaLeS8JdbKY3XJuUv/9/at26q9Erc06tStDVedklDST5THyGcKeZ6UU8xMl26dMX/RPPz5x59wdXVNMYgpcV7ioLy2bt9TVrpKu0+eOIlzZ89n6b6MjimPS/170O3LtmnbGtu37XihSVpElDHWAH6FpDPh6XFYvanJcvxmzZuiaLGiL+34MlNG8+Es0D8If/69CKvXr1azU/bu3ospX09D+fJuKtAYG5tg+aqlanmFPM/QMDn336hJIzRo2ECNVr43eiSatWiGdWvWY+rX01RQvHL5Cnr36YXPJ01Uj1/570rM+OZb1KxVU8321e0Y6x5j187d+GTCp6harQpsbW3RvGVzVKtW9ZlzOHf2HF7r3zfFbdIJ7d93AEaOehcDBr2e4nxTt/vrLyerwFGhYgWVQP1mxjR069FVPWbUu++jpXtLtYT01s1bqsM2eepX6r6xo8fhwpXz6lp9OP5jHDtyFGXLlVX3SWfx1v0bWf49ONg7wNzcHOEREepDxhuDh8PExBiWVpYq8M+Z9ysaNmqglvP+/ef/1HMKOxfGmdNn8L8lf6NuvToZ3pfRMVevWI3EhASV0BbzfpuvZv7KfUKu/2+//JblcyHKa++fUYExCD4ZjRi/eBSt6IwuH7VGqVqu7JgWYK86tkr5BYkZUVHRMEgywOyff8LaDatRpGgRlfQc+95YlChVUpUueuL3GKvWr0ThwoXV86SjI8+T996WrVqomFnOrRyGDR+qkrXvvT1K3Xf//gMVt2QQUeL4Ec8jGPnOKNSsWQN+fo9VYrZe/XqqPbrHkGTtW8PfQfHixVUSt3zF8mjUuGGasbVylcopbgsJDsGg/kPQsHEDTPzisxTnm7rdEo9+nT0H1WtWx6ULlzDinTcxeswo9fjJk6ZoZw77+wfApYgLlixfrH6ePm0mfpj9vTqOxKM/FvyJajWqISQ4GA8fPsKa9atQWieZnREzUzM4FXJSsVU6gzJr+bGfHwoVKqR+D5989jH6vNZblaH65MNP1WMdHOxx7sx5TJ72FXr27pnhfRkd0+Ogp3rsmPHvq7asW71O3d+6bWv1c5WqlXHl0hXV+U2dZCfSi9gaFIPQMzGIehinyij1/rojytYvydhagL3q2CrlFzas24CYmFjYWNtg+oxv8PeSv1C7Ti2VJH1z6AhYW1vD1MxUTfb583+LVK11ed7G9RvV+63EjwaNGqgBRemjzpg1XfUbB7w2ULU1IiJ5kHHVuhWwsbFRK02lTynPCw0JgZWVtUqmCt1jSFJ68IChMDQ0UI+V57Zt/+wEJUkQV66Ssn5wXHw8xowap67bn4v/UH1tzfmmbrcMREp5vuo1qqnPGQ0bNcTsOT+px8vM18CgIMREx6j+bmBAAHbs2Q5zC3MVk1u2aolefVzVRKVPPvpM9cUlfkmlJJks1aFj+yz/LqSvGBEeob7/dsYslfAuXboUrl/3Qvce3fDxZx+pWsljRo1Fgwb1YWRsDK9rXujdt1em92V0TEmg/7HwT/w2P3nWtAxmy4zqjp06qJ/l91/IyQle172e+QxDRC8HE8CviIycShC1sLBArdo1cf2al/q5V5+eqmP3stSpWwcTv/wMd67fx+RpX2PdmnUqaTrx0y/wwYfjtTNx5s6Zj/1796Nj547aBOqEjz545ngygjn5qymqM6eSvP7+aNOyHfoP6I/SZUph5jezsGL1cvWm/OjhI7i3eDY4SsJ14sefY96C39CkWZMM2x8QEAB7B4cUt/31x9+qk6Wb/NXQbbeMnG7dsg37Du1RSWZJ3I4dNVabABaj3n9PJUPlPFo2cdcmgDWktuLRw0ew5+BuWFpaqtFMOU5WeBzyhNf1G9i4dpMqUSHJdkmClyhZXBvIZKRz/tz52oSszNLevnur6jAumL9QfTCQJG9G9y2YtyDdYw55Ywj+XPinSgBHR0WrUdNde5/OYHZ0dMyTS3yIMnv/lP9f0bcS4H8qEomJSXBsaIX+n3WFiakJL14BllOxVeLSmg0LcdfrARYv/RuLFvyBSZO/xNSvpqrkoVv5cupxUktw1b+rMHrsaPWzs4sL5v4+J81jzvxmJr6aMkm1VWYOd+vUHXt371OdTOksffvdDPVeLjOZ2rVKuyM3edJUvD9mlHrvz0iAfwBKlS6V4jaZsVrOraxKcqam224Z2P3xu5+weftGtYnog/sP0LFtZ/Qf0E8lSkXX7l0xcPAA9ftoVK+JShzoJgpkBtn8ub9jx55taqaRdObkGFkhHWzp0B7ce0h13hs2bIAN6zYiJCQE7773jnqMfLb4+adfVLJWSIJ549b1cHJyUp3Ov//8W/2eMrovo2MOHjoIg14fgtFjR6mO+PJlK/Djzz9o2yhxWgaQZZaws4tzls6LKM/E1tuJ8D8ZicSERNjXtsDgL3rCzCI5aUUFU07F1sjIKGzbtQU+9x7j2Kkj+On7n7Dk33/w6+xfUa16VbWKREhfbOHvi/Dr3F/Uz3Fx8diyY3OabZnzy2/o1rMbPvv8U9UHfWfESPzzvyVq0HLunHmqPyl9YunjyiBoWmb/+IvqV02bMTXTfqtDqn7rmVNnYGFpAY8jB7XJX43U7ZYJVj/+/D3atGujVpa0d++gVrXKpCYhG6tLf1706/M6jh07jlbuLVMcc+b0WWqVjGyWJgO77s2f7Yun5abXTbU69uypC+rfJf8uxqWLl7Bty3Z8OvETyJwySc5//ukXGDXmPfWc2JhYfPbFpyoRL58FenXvo03ypndfRseUzw7fz/pBXUeJycuXLscbbw5N0U7ZAJd9V6JXhwngV0Q6cDISKEG0fIXy6raTJ06p2yVZ+bI0a9FU/SsziJo3bwovrxtqGUhwcHCKZZMlS5aAucXT+piNGjdK83iy9MTQwFAlf4V09mrUqI4bN27A3MIMZuZm2hE5GT10c3NL8xhx8XGZJn+FhYUlov/bAE5j7Pgx2LplK376fjYmfJwySa3bbjnXWrVraa+nBEIZ+dUEFVG/QT3teciHAkmy6gbnmzduoHbdOir5KzQfPMStm7dx/drTIv6GRkbaJKw4uP8g7OztVcd56szJ6riXL19BeFi4Km2hUaFCBe33MrtLM1uoRIniKkhmdl9Gx5SZWpKQkNFvGUVt3aY17OzttI+TGWoW/50bkb7wue0Hnx0hiH2SgJI1i6Fit1K4cusyoqKjmAAu4HIstjZPjq2auPDXfys0ZNDQ1s5Ou3RT3rN1Sx+lNRtXQwYMW7RKjjGSPGzarAmuX7+uEsDJ97VQ90k8qlu/bprHkNf9/Y95mbZfOqOpY2u/119TSy8/GDtBlX/QLYOk2+579+6r2cWS/BUlSpZQs5dklrAmAayJrdKpLVq0CIKCglMkgCUmSeJXvoTMdtbMGpbPKKdPnU7RNvc27irxIE6dPK0GmC3MrbB2Y/LM68uXLqvZW7pxUGaNacgKHk3clwFTaU9m92V0zJKlSsLNrZxapmtnZwcbWxs161eXJPHlOhPpC7/7T+C7KwQxfgkoUb0oKnUvhSu3ryAmLoYJ4AIup2KrJDo1/bDmLZth9o8/a2Or3C4JTY0KlZ72n+rVr5tuIlr6g5/26aXtD7u3boXjx45rywQOGDRAfS+Dec2aN0GwzmvoxtaPP/0w0/ZbWlpoNy7XkMSxrNIZPnQE/ln+PzV7OK12y0zgu3fvqVWxwsrKSs0AlmS7JgGsWfkjSpQogeCgp2X/hPRjJT5K2UUhfb4ataqr7+V3dWDfgRSPr9egvornQmbiSl/Y2MgEfy3+A/Ub1FcrjGQ1zJZNT+OgJJylP21lZalWuEqCV7WnpLTnaWxN7z6JrekdU9rSs3cPtYdOv/6vqRKNsmpIl1xfSwv2XYleFSaAXxHpwMnyGXlTF/Kv/KxJNL4sEgQ0vB8+gqODg5q5lJSYhK+nfqU6TmmRcgJpcXB0UCOSUnZAZg9LoJCi805OjmrEUwKz1CSSJRoyWuzn92zNIRm5i4qMSpGITU/FShXU5jZlSjxNJDs6OWL5qmVqAzgYIMVMZd12Ozk6piiIL8uHpE26H1Q0JSM0Um8oLm3VrfsnS1Q1bt68maJjKDMPdRPAUgO4YqWKaoaYJMNVm5ycULduHYz9YEya52uQQXvSuy+jY8oHnYFDBuLf5Stw/OgJzPxueor7pcPOJTSkL+R968zmSzj0v+NISExAkeb2qN2rokqOvYr3T9I/uRJbvR/C0TF5xo+UEnjzreFqwDEt0pb0SGxLjqfJcVFmzFSqnLyU1Om/+ySmiIfeT19flySb79+9r0pOZBZb1TVyf3qbdK4X/bUQb7/5zjNJYN12S2x94u+vEpySqJakgJ+vLxx14vmz8Srpmc8S/k+SY7J0fqVDp0m8+vr6poitomHjhtoEsNQAlpnQEltLVyiR3KZCTura/PJbcrIgNQOD9NuT3n2ZHXPo8KFqs1dbWxsMf3NYivskwS2lL3Q7+kR52fXDt7Hzl4OIjU6AS1N71OldSSXOGFspR2Pro6exTWKeZjatvB/LwOsbqd5rNTKahZy6P/jgwQO1AlLIv1IvV7Pa0tv7EaytrdKMrTL42VRn8DctFSpWfCZ+ianTp2DS519h6MA3UiSBddstA8bWNtbq84WmFJK0VbfUhJSgyKjfKnFcvqRkhcQgoenHhodHPNM2ScxqEsBSA1hmQqeIrU6F1CDnvIVznyn/IvmAZ/vRTxuU3n0ZHVMMHjpYlTaU+/r265Pi84fM0pZropv8J6KXiwngV0Te8CWQyfIZGUHV1FJ6mctohNTNkdHAe7e9VfmHrTs2qw7bkGGDMWzwGxj6xlBV905Ibd7MRnGlA9ate1e8O2KkWgYpdQmlFpOUmpCOYodO7VUNw+49u6uSElJ2IDV5fVkaKm/ug4YMUp2nkqVLpVkDWJbAyDKd1i3aprhdLQtZtRQD+w1WAUICVmrSYZRz//Sjz9SI6YrlK9G3X98MO+DPHKNRAzx+/FjVEq5avSo2rN2gDWhSSyk79ZTEm2+9gYH9B6tRXunYSyAvVbq0qof4vDI75mv9X0Oblm1RsWIFbfJA47DnEbRpq5MBIMqjYiJisO2nA7h57C5K1nRFndcr49zVs2o24Kt6/yT9k1Oxdf26Daq0T3R4DJb/u0y7DFXKBUwY+yHeencEiv0341U2W8tKncSBg15XNeffeudNtcJEyvloygpImaXxYyZg+IhhuHTxMryuX0/zGPLccWM+wNvvvoXChQuppGxas47d27TG4r+X4O03330mPqsk8PC3MWHch/jplx+fea6ci3SWR70zSiVid+/ajbJu5dSM2KySmb/lK1TAuNHj1exeqdUvJL7KCiPZiCY7JM51btdZdbDrNagHE2Nj1WHXzJp6HpkdU2YsTZv8jfp+1g/fphFbk+sBE+Vl8bHx2LfoKM5vu4LCZZzQaHgNXLx5AadOMbZSzsdW2eNkxrSZsLN2wNr1a1Rte/HWOyPw7lsjVVmecuXKqb6OW3k3tXokMwMGD8DETz5XM2AlaSl17VetXaHu6z+wPyZ/OUVNYJKJSbt27FK1alN7c8QbGD1yDIKCglC6dGmVZE2rBrDUD5bNSdPa0FSTBB42aLhKAqdl4KABeP+9sRg6fIiqry+J61atWyE7JGk6euT76nODrKaRhLLEVkn0Zje2yqqkH7//Ce+9MwrtO7RXnxHk3KV//rwyO6ascpWNbef/9jt27d/xTAmoqlWrcnCV6BVib/oVkk6U1E6SICEjqK8iefHp55/g/PkLKom59N9/1EifkDqDMgooNZQ0y0eq16yhEsCNmzRWM191SWF6zTLWWT9+q4KnbFhTsnRJVYtIM0voux9nqeLtp06eUgliWfKiSTDrHkOeI8s7pK6RlC9IbxO45i2aqQ8CAYEBKI0SqtNZqnRJdZ8sNZUk8DdTpqslIqnbLR9O1mxYhf/9uVi1tWev7mo2rEan/+oda0gy18goObkrM3nleznG6nUr8eeiv3D54mXVqZZdWzMjHwrSmvkjS2HWb1qHVStXqXq8skFbq9YtVbK2eIniqBn19ANDkaJFtctNM7ovo2MKmaldtVpVDNI5dyEJY1m+KktoifIy//tB2PDNTgT7hKLFGw3RoG9NNfBTpkqpV/r+SfopJ2Lr+2NHIyw0DDdv3cIPP/+gLWkk77OyqYnUi5e6fzLjRWrASpuq16iuOja65H3apUjyShypE1zM1RVHDh9Rs5I2bktOMgvZbExmQEnHW8oryBJciQupjyGDupJclc1ljh05lu4mcKqDVbYMLl26pGb6VKpUUdUi1E0CfzN1OnZu35lmu39f9Dv+99f/1GeIGjVrYPiIN7T3SakKG2tr7c9ybWz/229AYrrm+4V//Y5Fv/+hOqgyKH3qxKkU5TLSInFe4l9q0rHdtnsblv6zVG1yGxcbh0pVKqlkrXwG0Z2RLbFZ2iEyui+jYwp5D5IksGzMqlsuQ6xfux7Tv01ODhPlVcG+odg0Yzf8bvmjTrdqaPlmQxibGsOtZlnGVsqV2NrntT6qr3rk0FG1cbhmI3CJY7LHjGxEvn3rdjUTtFPXTioBLMnC1BOYpK+ombDTrn1bFde2b92h+nXLVy7Vrn6U/p68l8t7vJQDmvHddNUvTX0MiWOyIZ1sUif9QStrqzQTwDKLVxLIe/fuQZVaFeFavJjq/wp5HakhLGUtZFJS2bJlnmm31Mxd+e8qnDh2As7OztiwZb12lrVMttKNfzVrVVfHT/6+pvZ7WYH6v78W4+SJk2rGsqySy2xVkPQl05oEJucj/UTp93se8lSrdaSshCRrjYyMn5kIpdlLKKP7MjqmRrsObVU8Tt1uyR0MG57xHgdE9GIMklKv2yuAAgMC8cHITzD79+/UEk190bfnayoBLDV8dJdz6BuPQx64e+M+howYlCuvf+b0Wfj6+KjSFv8uW6mS0BJcsyo3r73UtpJaxCv+XYVd+3akWI4jSfN7d++lOdKtS5//dvS57fre/pfVdlmWun32ARgZG6Lbp21RunbKRBTpN32Mr7KqRGb1vj6wv17/H5X4sHn9Nkz4dFyuvL5s/CY7fkspiW1btyMhPl51sLMqN6+9LKmVAdQ5P8/B1p1btIl6IcuJN67fpDaZzYg+/+3oc9sF2w/cOfMAW2btRUJCIjqOa4lKzbM+g5/yPn2MrTLZxvuBtypRqM//R2WT02+nfY8Z30/Ltfh09sxZxMXHq0TyYY/D2LV/p3Yfmczk5rWXTWZlM1bZnG/2rz+qAWgNWdX73czv1Ya7GdHnvx19b78+tz0/tP9l4ZQqPZbWTF591LxFc5Qo8iDXXv/0ydNqSZKllZWa1Sy7xeoLqdF15co1tTw5dS0mSWRral4R5TWy+7jH4hM4sfY8nMsVQs8v2sPOhfU0KfelNSNWH8ks4t69eufa61+7dh3bt2xXm8dKLNIs9dUHkuSVmdozv5+ZIvkrZAZ2Zslfotwi83pOrrugauk7FLNDzy/bw6lEcp1VotyU1kxefSTn8M7b7+RqfJJVvkbGxmpF0qr1q7Kc/M1tsrJqz+69qpyWbvJXSJmIzJK/RPTimADWYx9+MiG3m5AvvD3yLeirrt27qC8ifSGbQgX6BWH/3GO4f/4RqrapgHajm8PEjOGI8obBQ3NnNUp+071HN/Wlj2RfAd3d2In0IbaGhYTh8F9ncPXATZRrUBJdPmoNMyuz3G4akdKaddNR0OOTbJo+9/c5ud0MogKNPW4iIsqxZWv7tx2C755QJIQnov7A6mg5sHGauwQTERFR1mLrwd0e8NsXilj/BFTtVB6dRrnDwJCxlYiIiJ5iApiIiHJkdtLe9QfweF84DGCAkl0K4YnxIyQkJHCDNyIioueMrfu3HMLj/WGIj0hEUXcHRBQOREJiAowN2c0jIiKip1IWDSUiInoFrnjcgO/OUJiam2Dwj71Rp00NxMXFqd2miYiIKPtun72HR9tDgHgD9J/RFQ2712ZsJSIiojRxaJiIiF6pc9uvYM88TxjbGcG1iyOCYwPUBoYmJiawtLTk1SciIsomryN3sOW7/TAyM0CJzk6INo1gbCUiIqJ0cQYwEb00u3buxuPHT3hFSbsb+aHFx7H7Nw+UqF4MvSa3R7xhLE6eOIWoqCg0a96U5R+IiDJx7Ohx3Lx5i9eJUgysbpq5G4VKOqDH5LZINI9nbCUiyoZrV6/h9MnTvGZUoHAGMOUbu3ftQY0a1eFSxAV50d7de1G1WlUUKVokR5+bkxbOX4hPP/8Ezs6Fc7splMsSExKx45eDuLzXC1Val0fHsS1hZGIE19LFVNkHmflrbMwQRJTXnTh+Ag4ODihfoTzyopMnTsLOzg4VKlbI0efmpPVr16N2ndpwcyuX202hPDCwenTFGRxeegola7qi15ftYWppipLlSzC2EukRr+teCAkJQf0G9ZEX3fC6gaCgIDRo2CBHn5uTDnsegfcDb9StXze3m0KUZo3/V9FnZu+b8o0/Fv6J8RPG5dkE8L1791GqTOkcfy5RTouPS8DmWXtw8+hdNOxXC82HNoCBQfJu5BLAbG1t+Ush0hMb1m1ElapV8mwC2NfHD/HxCTn+XKKclpSYhP1/HMHpjZdQsXlZdP6wNYxNjNR9jK1E+uXokWO4dfNWnk0ASwLX55FPjj+XiKD+/3h6HFY1/aVkoqyaLVqs6Eu5NEwA54PRw8uXrsAYpihdoUSKpfgyG1YCS2hoKJq1aAYbGxvt/Q8eeOPM6TOwtrJS95mZmWmfV6tWTdy6dRv+T/zRolUL2NmlnazJ7LEZvYa07fbtO/D390fbdm0QGxuLHdt3qiSR/GxkZPTMOZYoWRz16tdLsy1y/2NfP+zZtUedc+s27rh06TJq1qyhXicyIgJt2rWBxyEP3Lt7H6ZmpqhUqSJq1KyRpfOR5eoHDxxCgH+Amn3Ru28vNRojz3GwdsKjJ97ac5G279934JlzKVWqpLoWGR0vvdt1n5vRNcnu709+D6dPn8bVG5ey/DeS0TXUFR0VjQ3rN6Jdh7bqHNI6L8p/o5QmhibY/O0+3DvrjRbDG6Jh31q53TSibNO8/8VFxqNEuWLa93FZil+ocCGEhYbhwYMHaNS4UYoVDxIHTh4/qb5v0qyp9v1X8zyJRXdu30HDRg3TXdGR2WMze43wsHD1vBatmqv3W3nvDQ0JReu27rDSiSOac3R0dECTpk1SxF3dx9y8cRMRERHq53r16yI4OORp++7cRY+e3XH+3HlcvHBJJaFKliqJxk0aaQd9Mjofed/wOOSpPugmJiaqmCn3yXNiIuIQHBGoPRdHR0ccOujxzLkUKeqiZvFmdLz0btd9bkbX5Hl+f15XbuLC1XNZ/hvJ6Brqkt/pxvUbUbNWTZQoWSLN86L8F1vNzcyxZ+5htaqmZqfKaPteMxgasZIf6ZfAwEAcO3IMQU9CUdi1m/Z9XJbiR4RHwM7eDpel/1arJkrrTHyRGCTPC4+IQMOGDbTvc5rnOTg64ML5C6hWo3q6KyUye2xmr2HnYI+L5y+idh35XGuE06fO4P69+2javGmK93jNOZqYmqJJ08Yp4q5GWFiYKtkifbWl/yyDW3k32Nvbqdexd3DA2TNn0bV7V/j5+qr3eENDQxQp4qL6Y6amplk6H1m9I/EqLi5exe5KlSup59y8ekeVY9Oci1zntM5FVv7oSut46d2e+rnpXZPn+f2FB0fi/OUzWf4buXf3XrrXMLV9e/bBwdFRXZf0zpcoJ+K+JH8tLCxQq3ZNVdtffn6tf9+XcnwmgPXY//5ajN9++U29kZ04dgqHDh/A9z99p12KHxUVDdfirqqz9P23P2Dzjk3qDVc6DnN+mav+oKQj8t2332P95nUqISfPk5EGGWGQTuTPP/2CHXu2qZGH1DJ6bGavER4ejrJly8LHxxdL/rcESDRA0eJF4HX9hip38N2Ps545x7NnzqFBw/rac9QlrxERGane5CWJ2rBRA/U6MTExKOZaDPX/S5I+uO+NK5evqP9Yv89dgJ69emDsB2MyPB/pAHbr1APFS7iiWLFi6rHdenTTPicwIAiVKlfUnou5hQUcHOyfOZe//vgb740eCWcX5zSPJ5239F5H81wJZhldk+z+/uRvxMHeAfEJ8Vn+G8noGuoG+ndHjES3Hl3Vh4D2rTumeV6Uv0YpYyJiEegRhZjH8Wg7qhlqd6ma200jyjbpAHww7kO0aNkc165cx6o1K/Hv6uUqFshS/AvnL6r3eEsrK0z9airWbVqrEnZSTuDTDz9TnZKo6ChMm/wNVm9YBVdXV/U8GbSTTo6VlSWmfDUNu/bvQKFChZ55/Ywem9lrnDp5Wg0MJiUBP3z3I6pUrgJDYwMEBQZh8d+LsWbD6mfO8fatO+p1NOeoSxLdQUHB6nt53y9btgw2btikEpVOTo5qZrAkgKX2u9wvcezfZf+qTtkvv/2c6fm8985oBAUGqtnFkuxs1KSR9jlHDx9DWbcy2nNp0KA+IqMinzmXzRu3oJxbOVXGIb3jpXe77nMzuibZ/f3J34iFmQUcCztm+W8ko2uoIZ9pJoz9UK106t6zO9596700z4vyV2yNjY5F8LEYRN6PRcPXaqH5sKeraoj0hUxeGdhvEGrXrQP/x/74feF8bNy6Xg3uyVL8lf+ugoWlBUqWLIFJX3yN3xfOQ5NmTeDt/RBvDh2hEoMy+WT61Bn4bf6vqryAPG/VilVqAov0eeV5S5b/o/ovqWX02MxeY+nipXAq5AQXFxd89eXXaNumLR4/8YOFpSVmzfgO+zz2qD6S7jlKP2zq19O056hLJj5JcjckJFS970vfSxLfcg2sra1RsVJFdO7aSZWIkPslDm7fuh2zf/xZ9cdkoDCj8/lh1o9qok+durVV4lNit+Ya/P3H/9Tgp+ZcevfppQZ6U5/L8WMn1GvLNUjveOndrvvcjK5Jdn9/cn2MDIzgVrFclv9GMrqGuqQffP3adcyZ/2u650X0qgd6JWcj30s+R/4faFbfyYDRy8IEcDbsmusB/7uByAmFSjui/ejmGf6hyBuVvIHKqOHls9cwdNgQ9cYlQUO079gO4z4Yq74f+fZ7WLNqLYYMG4zJk6Zi9Jj3VKJSLFuyHPv27EfX7l3Uz9KpGPH2m+r7jm07qWM6u7hg145d6rZSpUuieYvm6T5WOoSZvUb/Af0xfMQbKgDWqV4Pn3z8KYa+NQgBAQFo2cRdJU1Tn6OMlrZq2jrFOWq0bNUCZcqWwYh3RqhZMxpdunXByFHvan8eMOh1NTvnwf37qtO3+K/FKZKXaZ2PdMykw7l2w2o1Mp1al85d8OHED7Tn8sPs79Cxc8cU56IrJDgkzePJbRm9Tlq/97SuSVrnUK16tTSPJ38jPbr0UrPHs/o3ktk1vH/vAb76YjLGfzgOHTq2z9J5kf6PUprAFMHHYxHzJB6FmlqjeoeU/0eJ9CG2iu9n/YhZP3yLjp064NbVuxg7fgx2bt+Jzl07q/vLV3DDr3N/SX7stz+o8kNTp0/BN1NnoEPnDipmiMjIKPWeqonDNWpWx4xZ09X3o999H4c9DqNDp45Ys2qNus3e3l4bI9N6bI9ePTJ9DYl/38ycpr7v2LYzSpUshS+nfo6EhAQ0qN0Ivj6+aiBR9xzlvu6de6Y4R40qVSujfoN6Kq4PHjpI3SYJ4KrVqqQYjG3Xvi1cXJzVwKfUq/92+ixt3bKMzkc2X1m3aU2KWTwatWvVxi/zZ2vPxa18OYweO/qZc9GV3vEyep20fu9pXZP0ziEt8jcyYdxHKrZm9W8ks2sondihg95A+w7ttDE+K+dF+h1bzUzMEXUSiLwfBvvaFmgyuC6Tv6SXsXXeb/Mx9I2hqs9w1+sBZv/6Ixb//Q8++HC8ul8Ntm1aqxJuEmd++XmOSu79OvtXVKtWFXXq1VGPkwTJ4r/+0daXlbJiq9evUt//MvtX1V+VxMna1evUpCChiV/pPTaz1yjsXBir1q1U3497f7yaXLVs5VL1c78+r6vkjPRFdc9R81jdc9RwcnJSM3xl1arEBvHnor9UAnztxtXa/+OyytLKyhoXL1xQcfePBX/g0sXL2gRpeucjg8EfffqhihepSeJVM4Aq7ZNyDWmdi670jpfR66T1e0/rmqR3DmmRv5G5c+ahbKVSWf4byewaynutDKzKtV/w5+/qNbJyXkQvfaD3eAyKlymGzuNbq79hmfkr5N+0JvPpRQJYluRv3bwVUZFRaNS4oUqSZUSWue3ZvRenTpxSy5xq1a6lPiBLYNCY8/Nv8Pb2TvE8KeTdr/9ryM/8/PzU8gVJAgoZOaxSrYpajqlJBNatm/wmKKRMgCxjkA6TzKCRsggassxBRjU1qtd4miyUxK8kLGVkTkbPhO71T+uxWXkNeQMWcg6SFCxfvrw2IEqwls5X6nOUNqQ+x8zI34yuEcPeUjN1pTNramqCgMCUH4zSOh9Jnr4+sD9aNG2lRqUlYL/97lva66Bpu+ZcpOOW+lx0Z1XJDKK0jpfe7brXOyvXJK1zSM/z/I1kdg1l1FXOQ5K/GZ2v7nmR/pIERXRoDAKORiMiIAoN3qiGh9H31e2s9ZszZNn6ujXrVIkV+X/Z57XemX5QkKVtnocOq9+TLGuT/5fm5sllXsSqlauf2Rm5ePHiGDP+feR38j4oKyuEvHfXb1hfvcdq1K33dLOQeg3q4a9Ff6nvva55oXx5N+17bvHirmqli0b1GtW138tKEEnoJSYmaGNrkSJFMnxsVl5DE380z9PEJzkPeQ+XklCSNM3sHLMbW+V9f+eOXahXry7MLcxV5zUwMEibvEzvfD7+7CP07dVPlWGQAckx497XPkfTds1zqvx3bqnPRVd6x8vodTQyuybpnUNanudvJLNruGDeQtRvWE+b/M3s+pF+k/fmmKhYhB9JgP/NYFTvVR6B5n6MraS35D1WJgBpSHmcY0ePpehraPoGsnJT3hPF9eteKFy4sDZWyueb5DIMyarqTHKRWa0XL1xU33t5ealVLLrSe2xmr6GJP8LZ2RlFnY1T/CwJ4aycY2akjJ/u7H75LPbdzO/V4K70+eLi4xEYEJDp+Ywe+x6++GwSpkyagpbuLdUeORK3RHk3ndjq7KxKFqV1LrrSO15Gr6OR2TVJ7xzS8jx/I5ldw62bt8HRyVG76jez60f00gd6jc0QeSEJkffC8NjRT90nNX/lPhmQ0dQA1rsEsNR3fX/kGAwcPEB9cJf/VHJSmpkqaXmtVz/1RiD/gaWey1dffI2Vy1fiz8V/aN8cd+3cpZYMtHJvpX1eqVKlXsk5ZDaymZOcnAqpWjeyPF+WIEqS8e6du+qNW/cNV8oEiNu3bqvrJG/ysomEzIqV5YhpSb2sTBLxpUqX0s58yeyxz/MaSPWjHCcr56jLyNAQSYmJKW/TqY8mncUTx0+qmnwSPGQ559o16zI9H00nS2a0yrLXSZ9/hRIlij+dKfXMuaR9DF3pHS/D18ni7z29c0iL/I0UL1Iqy38jWbmGM7+foUpUSG1CmS2c6fUjvRYfkQj/vZFIiEpCoxE1EIwAmCSYMAmRQ65cvop+vfur2RrValRTpV1k065lK5ekWdNVfPrRZ3j0yEd9GLa0ssTC3xdh0YJFakaIpg748aMn1HtC/wH9tM+TD8j5PbYKWV4vs3IcGySf760bN1G1avKgpeZ9U0OuUeH/3n+LFi2CLl07w72Ne5rHffa9Ger/SdZiK57rNdKLR5mdoy75O3o2tqb825KZOBs2r1Mll2RJq8QF3diT3vlIjJC/MVkiKh20Pxf+9XSQIdVzshLb0jtehq/zn8yuSXrnkBb5G2nZ1D1bfyOZXcPxH47Fwf2HMGPaTHw+aWLm14/0mhGMEXgwuaRSrX4VEeMQAZMoxlbS39gqk1LkPVazUlPKDqTstz4dcJP3TWed900ZdNRd0akrdTEUzfvmxC8+y/Jjs/saz8RWJGXpHHVJP0pK/qS+TdfmDZvVahv31q2S67y3bJcytqZzPrJS99CRA6o0oswsnjr5G1USIa22G6RzLrrSO16Gr/OfzK5JeueQluf5G8nsGvbo1V1ddykVJW2XPW+ycl5EL2WgNyIWYWfiEXAnBDV6V0CAma+aQCjlPHv16aldCZa6ZEmeTwDLf7bJX05RsxYmfpn8Ziw1VYYMGIaBgweqJYZpmT1ntkoUacimGwNeG6hqs5VzezrjRab2ywzDgkRmaskH/2GDhqs3rn279qs3Qd3RSqkbK7MzZSRv+9YdamRLZo+OHjsKA/sPxusD+sPewV49VjokMlPzZXhZr5H6HI8ePvrMOeoqVbo0Fv/vHzVzVTaBS01qKtna2uDrLyerDta2Lduy1A6ZqbN50xb1vZRckFl2LjoztbIrveNl5XWye00yI38jt27chaExsvQ3IjOcM7uGsnnO0hVLMXzIm+oNrE/f3i/1+lHeEfI4DGu+2AbEGsCljTXuh97RjlK+zEBF6ZsxbYZaoj93wW/q5+49u6nSM1s2bUl3efr7495PEVtlU4F6NRvA85AnOnXppL1dyv0UtNgqRrw9HOPHTFBLRs+fuaA6Lp26PF2xtGPbTvV3LssF//l7Cf765091+/iPxuOjDz5R10yzU2/zFs3UAOrL8rJeQ/cc5fxSn6MuObYkJ6XTKH9raZG6e99MmY7adWqrAX8jw7QHH3RJB0zKC4no6GhVw+9FBgbTO15WXyc71yQz8jcSGR6NIq7OWf4byewampqa4fc/5mPc6PFqIHXKN5OxfOm/mZ4X6Z+4qDisn7wTsf+VVHpi5KOSv4ytpM/eGD4U7783Fk+ePIGPtx927NyuBr00bnh54aMPPlbl5WRPlQkfT1C3j3r/PQwZOEytUCxXriwMDA3Vakeppf6yvKzX0D3HyIhIrF61JsU56ipdppQqDyTlENJb2VquvBvmzZmnkp3yGS31qsv0SH17WaUiMwxveN1MsTr0eaR3vKy8TnauSWbkb+TbWTNRs06NLP+NZOUaTpr8par7+9bwd7DozwXYvWvPS71+RGnV/E2ISkTA/kjEBiWgzsDKiLIJSzHQK33pV7GaNkd66JcuXoKvry+69Xy68VOz5s1QqJCT2nQjvQSwbgdVSOJIklO2dskzlDQkCSb1M2Rnx1at3bXlBfK7ydO+xqYNm1QdmwYNG2LU2HdTjOJ9NWUSbt64hfi4eFVPSGa3CKk1J0sMjxw+ikePHqnb2rRtrf5t37F9ilE5SaQW+a+TklpGj83Oa8gmYpYWT5csyixxzQio7jm2at0K/V/vl27ts48/+xBLFy/D1StX1SZwqV9Hjrl81TKsXLEKCfEJ+HnOz/jnf/9kej7SsZIlJfK6NrY2mDP/F9T9r8aQPMfJ0SnFuVjr7Paqey5tZHfuDI7n5+uX7utonpvZNcnO70/zN3Li6GkYmRhk6W/EwdAhS9dQdjVf8u9izP7hZ1y9di3d8yL9FREYiV3feiAqNBr9vukKlwqFXskoJaVPrrf8H/1h9vfa26S2qJRzkfJJ6SWAU8fWwIBA7eoNXVKLVAZ7ZOCnUaOGqs5aQSC16kqWKqU+W0gN3Rnff6MGEDXeHzdavZ89ePBAJfZkQFt079FNbRQiHQeJQ3JNpW6sZsmjbM6mIb+j9GZUZ/TY7LyGvP+7OCe/p4uu3bqoOsOpz1FKCsmMUt1z1DV4yCA13VVmmUrHKvXrCNk0RXYyl0G+r6Z8ib2792ljYXrnI23XLNeUMla69fbkOcYwTXEurq7F0jyX+g3qJ69cSed4MgkhvdfRPDeza5Kd35/mbyTwcTAiY8Oz/DeSlWsoAw/yuN9+nYujR46le16kv6LDYnDw9xMI9g5F10/awK1JacZWyheaNm+Kxcv+xq4du9VnxY1b1qv9WzRkg2h5b71w/gKmzZiq+j6aiV5bdmzG5o2b1VJ/eU/X9FcqV66UonyS1Iq3sDBP8/Uzemx2XkPezyNCo7U/N2/RFKX/G4TVPUcra6tnzlGX5EJkvxVZySVJntSvIz6b+AmWLlmmkqfD3hymroms1szsfG7evIknj5+o2ay9+/ZCz949tM8xSjJOcS6alV+pz6VCxfKwsbHO8Hjp3a773IyuSXZ+f5q/kVLFS8Pn8aMs/41k9RpKDJUYvHPHTjWZLK3zInpZNX+jQ2IQcCAK8eGJKNzSBn5JD3NsoNcgKaN59i/Jpo2bMXbUOJy/fDbFJlA9uvRUO9vpdl5TkwSx1EST/4T37t3HF5MmovV/iUTRt+dr6k1EahjKh+mN6zepD+2ywVh6pAaxpii8CA4KxpSJMzD79+9e2RLXV02K6ctmI7rX5dPPP1GdG31svz7R17Zr/kYK2xfRy/br87XX9/YH+4Zi2UcbEB8dj77TOsO1Mmd05wbZ4LFDm05YtW6FdqMS8fGET9R9m7ZtTPe5Ur5FBm+kPt7Fi5fw7nvvaDdJ0RxDSr5IDHn08BH+XbZCLUVKq1xBfo6vqf+PSvkMmaGpLzOj9fU9Rp/brvkbaVSviV62X5+vvb63PyosGqu/2IrHdwLQ7dO2qNjs6WpHotQDtx+M/CTfxFZZZu/9wBtfT/0K+kBf32P0ue2av5Fhg4frZfv1/frre9vzQvvj4+Oxfu0GGMUa49HOEDXg69zKGv3e643Y2Ngcm0SVI9O0ZMajkFEfXTJjITo6JsPnylJxqeki2fLLl6+oZXFSO00z43HegrkpinLLJh1SELxT547PbA6isWPLLmxYvfmZ2x/c9kFoQAT0UWJCovqj1qhXtwFiIxJS3KZP7dcn+tp2zd9Ioo1+tl+fr70+tz/cPxIH5x1DbFQ8WrxbH3FGcXp3DkKfP8A8E1utUs7ctLK2zjS2ymCsJKkCAgLg5XUDO7btUAleicvi408/ShFb27Zvi4H9BqnN4po0bZzucfNbfE39f7RcmfKwMrPRm795fXyP0fe2a/5G9LX9Qp/brq/tj42IxcH5JxDiE4aGQ2rCzNlE784hv8RWynlpzX4l4t8I5beVm1FBMQg+EAYkAs1H18GtxzdU8jcnN07PkQSwzX9L6KSWipPT0+XywcEhmdatk3IOmpIOspy1Tcu26NCxvXbKf+odGbt276KWrMqMpvQSwB27tkfLNs2fmaFUomxRvRxFTWtE47NJH0Of5PaITEFsu+ZvRF/br+9t16f2a2oVxYbEY8fCQ4iPSUSLkQ1Qt13y0mXKHdbWNtrYqiskKDjd5fwaxYu7amexDhk2GK2atlZ16KSOWlqxVZK+Urbp7OkzGSaA81t8Tf1/9J0KI6BP9OU9Jj+1XfM3oq/t1/e261v7Jb4GPg7CwTnHEeobjh6ft4OJk7HetJ/oZSgoJaboxf9G9HFgjCg+Ph5R4dEI9IhCQnQiWoyrB78wH1XaS1PzN18lgCtUTC5sLkW0nRonJ4BjYmJw/959tflMVsnGbxYWFrh7916mM6IyqmwhG7fIFxERZa1WUVRgDPz3RcIwyRD9p3dDjEHGM0zp1StZqgTMzc1x88aNFElZmdGrqSuaFTLqXKJUCbXbcUYkbmdWNIrxlYgo6/H14B4P+O4KQVxwIlq+Vx/lG5dhgoOIiCifkFjvccgTfvtDERecAKsGhrjx8HqubZyevDvVKyaJ26rVquKfv59uFrV65RrExsWiY6cO2tt+mf0rVq1crb6X5LDUMNQlS1SltqCUhBAPHnirwukakvSdN2e+WsLaQE9q3xIR5eXRSkn+GsWZINQzDknxSSjkboXC5fRvJmd+JB8cOnfphBXLV2lLPpw8cRKXL11Gt+5dtY9b+e9KzPn5t6cbx3keSXEcqZ9/7eo1VRJCREdF49BBjxSP+d9fixEWFo6W7i1y4MyIiPJ/fD241wNP9oYjPiQJru2ccC/8trqdiIiI8k9fOuJqPKK941G4vi0cy9uqcrVSeq9osaI53qYcSzd/9+MsDBs0DN0791BlIGT34slTv05x0ju27USVqlXQr/9rKhM+8ZMvVK1f2flYNqGRTWs+mfgx6tarox5vYmyMLydOUt8XL+GKq1euqU1rfpv/K+wdkneHJiKiF6hVFByDUI9wJMQmofnourjp66Vup7xh4qTPMLDfYHRu1xluFcqr5O5b74xIsZxS4u2tm7cwZvz7MDQ0UhtpTJ82Uw3OSimmE8dOoHef3toVOYZGhmrAduY336odmb0fPMQNrxuYNn2KqrNPREQvJsg/GL67QxAflIRun7WFYeEEnDxxivGViIgonyR//fz8EHIrHEGnYlCxeVlU6lUKp06ehpGxUY7P/NXIsVeVOr4HDu/HYc8jiI6KwrSZ01QNQl3jJoyFg4OD+r6YazGs3bgaFy9cxJ3bd+Dg6IgaNaqnSOxKjV/tY+7cxcDBA1GzVg1VJoKIiF5MQkQiAvZFIjEmCc1G1cHjSF9traJApKw7S7mjcOHC2LpzM44cPqp2BZ/w0XhUqlwpxWP6D+iPsLAw9b25uRn+XPwHbt68hSuXr8Daygqzvp+ZYjDW1NQUf/xvEW7euIkrV67CwcEe1apVg4NjcnwmIqLnFxsZi53feSAuMBGubRxV8vf6NS/GVz0UFxeH3Tt348KFi+jStXOWBkllEH3L5q3wfuCN0qVLo0u3zjAzM8uR9hIRUc6VUAzzjUTgkSiY2BujfJcS8Lp+I1fq/urK0bSzbEojG7ilR7cchJDZvzVq1lBf6cnKY4iIKHvC/COw5qvtQJwBnFtbq11Kc6tWEWVMErat3Fume3/jJo2euc3NrZz6yohbeTf1RUREL0dsdBzWTt4O3xtP0HREHTyMvadm/jK+6p8D+w/i808+R/Wa1bF75x6UK1cu0wRwSHAI+vR8TSV8m7Voivlzf8fff/6NlWtX5GpCgIiIXm7ZBxOYIupUBIxMDeHndBenz1rAzMw81/vS7MUTEVEK4YGRWPn5ZoQHRKLvlM4oWtlZzViRzgmTv0RERNkXFx2H9VN2wPuKLzp94I5qbSogPr4246ueKlasKNZvXgeXIi4oV7J8lp4z77f5akPVTds2qM9U740aidYt2uLvP/+H0WNGvfI2ExHRqyV95tiYWISfTkB0SCyavFcHNx9bwb2NO1xcXHK9L50jm8AREZF+iAiOwqrPNyPsSTh6f9UBJaoXU4HK1tY21wMWERGRPoqPjceG6btw/8IjdBjTUiV/BeOr/qpQsYJK/mbHju071eatmtm+UtqwXYe22Ll95ytqJRER5fTKzOCzUfC/GYzqvcsjIO4xzM3N80TyV+R+C4iIKE+ICo3Gqi+2INgnFL2+6ohStYrndpOIiIj0WkJcAjbO2I27Z7zRdlQz1OiQsk47FZxlwffv3Uep0qVS3C4/b9uyLcPnRkVGISoqSvtzcFDwK2snERE9f+3fXf/uR6RXPKLswnAr/BoKWRTK9bIPuvJGK4iIKFc7JUFPgrFt5gEEegej5xftUaZuCf5GiIiIXiC2hoWG48DcY7h98j7c326M2l2q8noWUNHR0UhKSoK1jXWK221sbBAZ+TS5m5YdW3Zhw+rNz9z+4LYPQgMioG8SExJx1+sB9JU+t1+f2y7Yfl77vPq3E58Qj52bdyHqCGDuaAaHBiYIjwpHjaq1EBMe/0KvXbrCy+uXMwFMRFTARyoP7fOEz64QxAUmoMXI+ijXIOXsFCIiIspebPU46InHh0IRdT8etXtXRr2e3LC6ILOwsIChoSHCQsNS3B4aGgpLq4w3gOvYtT1atmmeYgbwlIkzUKJsUTg6OULfSCLkZSY0cpo+t1+f2y7Yfl77vPi3Ex8fr+J+3GVDVWN3wDfdERQToDZ5LVrSWZVSzCuYACYiKqAkWEny98n+cJX8LdbaEfcjbqNufI08s0yFiIhI32KrxyFPBJ+IVsnfQnVtEWT9WN3O2FpwGRkZoXSZ0rh963aK22/fugM3N7cMn2thaaG+iIgob/F55ANPj8N4cjIUcf6JsK1nqpK/1695wcTERFvzPa/gJnBERAVUaHAY/PaFIMo3Fp3Gt0KDrrUQFxendi8lIiKi7IuIiMCTo2EI8YpEw9dqoemguoytBdSRw0fx0w+ztT936doZ27ZsR0hIqPr5yZMn2LN7D7p07ZSLrSQiouchA7uS/E0IMEDEtTiYlzTCrbDrOH7suKrbnpdq/2rkrdYQEVGObUqz79cjiPFLQJHm9jAraZhnRyqJiIj0gdR4PfnvRUTejINDNWsUaewAr+s3GFvzIdnQbfmyf9X3iYmJaiO3W7duoXr16ujSrbO6/fTJ0/hjwZ+Y8NEH6ud3R72DA/sPoFe33mjYqCE8PTxRsVJFDB42JFfPhYiIsk8mTUWHxiDoYAzsi9qi6Xu1cPqsOdzbuMPFxSXPJX9F3msRERG9UgnxCdg8aw/unPZGvf7V4G/mo2oUSfI3L45UEhER6QPPf07i7ObLcGtRCnGlwnDq5GnG1nzKyNhIW9fx488+0t5uYWGu/b5J08Ypfra2tsbajWuwb88+eHs/ROu27mjdxl2VhyAiIv2a/RsbG4egY9GIjYxH43dr4fbd2zA3N8+zyV+RN1tFRESvbAfU7T8dwI2jd9FiWAM07FdbBTAZwZSZv3k1WBEREeVlR1ecwbFVZ1GldXl0/sAdCYkJjK35mKurK0a9/16Gj6lbv6760mVqaoqOnTu+4tYREdGrrvsbcDYcMb7xsKhugBuPruvFgG/ebRkREb1USYlJ2DnnEK4evInGA+qo5K+QIJWXdiclIiLSJyfXnYfnkpOo2KysqqlvYGgAY0PGViIiovxY9zcpxBBhl2JgU9ocdtXN0LFTB9jY2uTp5K/gJnBERAWkLuGe3z1xafd11O9TE00H1cvtJhEREem9M1su4cCfx1CuQSl0+bg1DI3YvSIiIsqPIiMjERMRiyceYbB2tELzt+qrfraUBcrryV+R91tIREQvJC4uDvsWHcGFrddQu2tVtBzeEAYGBryqRERELzAL6MzWizi48ARK1ymO7hPbqg4gERER5U+mpqYIOhmJ6MAENB1dG3ce3NGrjV6ZACYiyuc1ijbP2Y2QC1GwdjNDlW5lmfwlIiJ6wdi645998PcIh5mLMRq9WQPGpuxWERER5evYv3gfou8nINIpGOdvn0GhwoXyfN1fXVyjRESUj2cnbZm3RyV/i9dxQXH3Qjh8+Ii6nYiIiJ4vtu5ctg/+nuFwLG2LUp2dcezEccZWIiKifBz79287hMDjEbAvaYOaPSrBytoK3Xp0RdFiRaEvmAAmIsqnjq89i+CzkShaozD6T+6OSlUqqnIQUruIiIiIsu/a4Zt4cigcdq42GDSrN6rUqMTYSkRElI+Tvz4PffD4UCgMDAzRd1IXVK1eRc36jY2NhT7Rj3nKRESULee2XcGRf87AwtUEdg1McevWLVy/5qVXNYqIiIjykrtnvbFrtidMbI3g3MYaDx7dZ2wlIiLKx2UfPD0O48mpUMQFJMK2vin8wx/rbeznDGAionzm4u5r2D3XA6VquaLnF+0RHRuNkydOISoqSq9qFBEREeUVDy49woZpO2HnYoPuk9ogLimWsZWIiCgfz/z19DiMpGBDRFyNg3kJI9wKvY7jx47rbb9av1pLREQZunLgBnb8chDFqxVFz0kdYGpugl6uPVXZBxmh1LcgRURElNseXfPD2sk7YOlgiX7Tu8KmkBVKupVgbCUiIsqnIiMjERMRi2CPWNgWskazkbVx5rw53Nu4w8XFRS/71ZwBTESUT1w/fBvbftyPohWd0efrjir5KyQ42dra6mWQIiIiyk2+N55gzVfbYGFthv4zk5O/grGViIgo/zIxMUHQiUhEBcegRv8KuHP/DszNzfU2+Sv0s9VERKRdmiKjk76X/bHlu71wLuuEvlM6w9TSlFeIiIjoBWJrhF8U1kzaDhNzY/Sb2RV2zja8nkRERAWg9u+OxfsQ/SABEU7BOHfrNAoVLqSXZR906W/LiYgKOE1R+rD7UQg4FAn7YrZ4bVoXmFub5XbTiIiI9Dq2RvpHw39fJExNTdF/Rjc4FLXL7aYRERFRDgwC799+CIEnImBfwgbl2xVBaFgouvXoqmYA6zOWgCAi0uOi9ImBBgg6HA1TW2PYNDaCiSXH9YiIiF4kthrGGCPEIw4GMIBjK3PYFrHmBSUiIioAwsPD8cQjTH0G6DOpM6pWr6Jm/cbGxkLfMQFMRKSHZGlq+MMoPNwVqJakth7fEInGCep2IiIier7YGhUYg0c7gmGQZIDm79eFgVUSYysREVEBGQg+s/4yYp8koHAjWwREPMH1a16qHrBsqK7vOFWMiEgPBd0LQ8DBSBhbGqHBW9Vwz+devglMREREuSEuLAH++yORFJeEFu/XhV+YD2MrERFRASkBtXf9AfhsD4VxESDaLhQnT5xSnwP0vfavhv6fARFRAfPomh82TNkJSztLOLQ0xSWvi/kqMBEREeW00CfhWDtpOwwTDOHUxhI3fJJn/DC2EhER5f+Zv4f2ecLfMxJm1qYo2d4J0QlR6NCxPWxsbfJNHzt/nAURUQHhe+MJVk/aBjNrMwyY1R1WThZqaarM/M0vgYmIiCgnhflHYOXEzYgMiULfaV1QpEIhxlYiIqICkvz18/PDk+OhiAuNR9+pnRFvE61m/xoZG+WrPnb+ORMionzO75Y/Vn2xBaYWJug/syvsXGzU7ba2trndNCIiIr0UHpCc/A0PjETfKZ1QvEoRdTtjKxERUf4v++DpcRjBt8IRdTseluWNVfI3P9X91cUEMBGRHnh8J0Alf43NjFXy16GoXW43iYiISK9J0nfl51sQFhCB3l93RInqxXK7SURERJRDM389PQ7DONEUkecSYWxrgHsGN3H8mBnMzMzzZQmo/HU2RET5MDA9uPoQW6bvh6GRIfpP7wpHV/vcbhYREZFex1b/RwHYOv0AQh+HqeRvqZquud0sIiIiyiGRkZGIjY1F5LkkJMQkoMUH9XH1niXc27jDxcUl3yV/Rf47IyKifLQkZd+mg/DdGQoYAl0+bgWnkg653SwiIiK9jq0Hd3nAZ2cIEiIS0XpsI5SqVTy3m0VEREQ5yNTUFGHXohF2LQzVerjBN/QRzM3N823yVxjmdgOIiCjt2UmS/PXbHQYTMxOU7u6MizcvqNuJiIgo+ySGSvJXYmtiJFC8QyHcCrjB2EpERFTABoPXLt6AsAuxiLWMwp2YG4iKisqXZR90MQFMRJQHSdkHmflrbGKMQd/1RI3GVREXF6eWqhAREVH2SdkHmfkbH56I3l91RN12NRhbiYiICthgsMcBTwR4RsLE3AQVe5SCtY0VuvXoiqLFiiI/YwKYiCgPbvgmNX/lHdq1kwMCo/3z7U6kREREObXhm9T8lbIPru0d8/Uu30RERJR28tfPzw/+p0IRExiHTuPcUbNBNTXrV+oB53c5Prf51s3biIqKRIWKFVTNjcwkJCTg9q3bMDQ0QomSxdN9TnaPS0SUV5O/qz7fojZ8k5q/Uvbh5IlTqoOa35ek0PPz9n6IwIAAlC1XFtbW1pk+PikpCQ/uP1AzykuWKplu8iO7xyUiyovCAyOwcuIWteGb+5hGuB14g7GViIiogJV98PQ4jJB7EYi4Hg+L0sYwdE4oUIPBOZZJ8PXxxYg33sZD74ewsbVBRHgEfv5tNlq0bJ7uc/5Y+CcW/r4Ijo4OCA+PQFRkFL6a8iV69OrxQsclIsqL/G4+waovt8LI2Aj9Z3aFUwkHuNUsq5J0EpCY/KXUpFbV+yPH4MjhoyjmWgyPHj7CpMlfYuDgAelerG1btuH7b3+AgaEhDA0N1YehkaPexZjx77/QcYmI8qLwgAismLgZYU/C0eurjihduzhqxldlbCUiIiog4hPicdLjOEwNzBB1LhxGVgZ4YHITx4+ZwczMvMBMtMqxM/zog49hZWWJ42eOwszMDD/M+hGjR74PjyMHYe9gn+7s3z0HdsHW1lb9vGD+QkwY9xGat2wOR0fH5z4uEVFe43P9MVZP2goTc2P0n9ENjsWT378kEGneA4lSk0Tu9ete8Dh2EIUKFcKmjZsxbvR41KxVE1WrVUnzggUEBOLf1ctRpGgR9fP+vfsxfOgINGrSEPUb1H/u4xIR5TVh/uFq5m9YQAR6f90RpWoVV7czthIRERUc0VHRqsRD7FUjxITFovmYOvDysYR7G3e4uLgUiORvjtUAlplDMtVaZhhJkla8O+odxMTEYMf2nek+79333kmR+GjUuKFKCvs/8X+h4xIR5SXeV3yx6ostMLU0xevfdtcmf4kykpiYiLVr1mHQkIEqSSu69+iG0qVLYc2qNek+b8iwwdrkr2jUpBEMDAzg6+P3QsclIspLQh6H4d9PN6sZwH10kr9ERERUsJiYmiD8VgwenX+MCu1K4Um0H8zNzQtU8lfkyJlevnxF/VutRnXtbTY2NihbtiwuX7qc4XMlyfvw4UM8efxEzQDu2buHqvP7osclIsoLS1GuHb+JHd8dhKWdBfrP7AY7F5vcbhbpCe8H3ggJDkH16tVS3F6jVg1tfExPcFAwbty4gbDQMCxftgK1atdCu/ZtX/i4RER5IbZ633iELdP3ITo8Fn2ndkbxavl7V28iIiJKm5S727N5LyLPJCHOIgbeuIPCUYUKTNkHXTlyttLRFA6pSjI4ODggODj5vvQcPXIMy5f+C59Hj9Tmbv1e7/fCx5VawlLfMPVxiIhyMhBtX7ELMWcBI0tDtJ7QiMlfyhZNnLN3dHgmBl67ei3D53p5eeG7md8jMCAQQUHB+GrKJJhbmL/wcRlfiSi3Y+vODbsQfdoASfFA+w+bMvlLRERUQMXHx8PjgCdiLxnA2MQIZbo7IzIxAt16dFUzgAuaHEkAm5gkv4yUZpDd9TSio6NhYmKa4XP7vNZbfYnFf/+DoQOHYcfe7XBzK/fcx92xZRc2rN78zO0PbvsgNCAC+igxIRF3vR5AX+lz+/W57frefn1tu8xO2v7vLkSfBcztTGFRzwC79+0BjNrB2Eg/RiH19dprlK5QAvrO2Dg57sVEx6S4PSuxtUHDBlizYbX63uOQB4YPGQErayu079DuhY6b3+Krvv+d63P79bnt+t5+fY6tO9bvQvQpqXFnAJvGxjh89jAsC1nqTWzV5+ufX2IrERHlH7KZesCZcMQHJ6HLxy1hUgw4eeKUqgfMBPAr4lrcVf3r6+sHNzdr7e1+vr5q2nVWDX1jCL6dPguHPQ6rBPDzHrdj1/Zo2aZ5ihnAUybOQImyReHolLy5nL6RD4r6/KFLn9uvz23X9/bra9vP772cnPy1N8PwX/rBx/+hCkTOrk56s+Gbvl77/EQTAyXm6fL19UUx12JZPk7zFs1RpWplHNh3QCWAX+S4+S2+6vvfuT63X5/bru/t19e23zp/FzEnDWBkZIhB3/dCSFyg3sVWfb7+REREeW327/0LjxB+NRZmxQ1V8vf6NS81edTS0hIFUY5sAlejZg3Y2Npgz6492tsuXbqMR4980KxFM+1tly9dwZ3bd9T3UqIhKSkpxXF8fXzV7fb/lXzI6nFTs7C0UB1RzZfmeEREr9rlfV7Y/fNhmNobwbI+VPK3oAciej52draoUbM69uzaq70tNDQUx44cR3OdQdDbt27jyuWr2g9CsmpGV3R0DHx8fFWJh+wcNy2Mr0SUGx5e9cXW6fthYARYNzJSyV/GViIiooJbEmrNsnXY+fMhGFoC0cVC1KCw5BMLYu1fjRw5azMzM0z46APMmvEdLCws1K7iP37/E9xbt0LDRg20j/vog49RpWoV/Pjz9/C67oVpk79Bn9f6oESJ4nj06BEWLfgTlatURoeOHbJ1XCKivODctivYPc8DrpWLoOm7tbFt2w4ViCT5W5ADET2/jz/7SJVvKF6iOKrVqIY/F/2lZum+1v817WN+/XkObt28hc3bN6llUP1690f/Af1Rzq2cqve7bMly9bjBQwdl67hERHnBvfMPsX7qDljYmqPjuObYe2gfYysREVFBrvt7yBPBJ6KQFAOU6l4YjyOS0KlzRzWBtCD3uXPszIePeEMlaDdt3IzoqCj07tMLb70zIsVjqlargjJlSqvva9aqiWkzpuLfZSuwbcs2ODg64I03h6Fvvz4q8Zud4xIR5bYTa8/h4F/HUaqWK3pO6gBTcxO0a9dOLU2Vmb8FORDR85PyDUtXLMHSf5bh1MlTqF69Gt57f6R2QzdRtmxZbdyUZdB///MXFv/vH+zfdwDWVlZo2aoFFv7xO+zs7bJ1XCKi3HbrxD1snLEbtoWt0W96F9g628DQzIixlYiIqIAKCw2D/8UQRNxNQNPB9VC4ri12bN4FI2OjAt/nztGMg+y0J1/p+WH29yl+ltm+U6dPeeHjEhHlFillc3jpKRxdcQZujUqj26dtYGya/NYrm9LoU11CypsaNW6ovtIz9oMxKX4uWqwoPvv80xc+LhFRbrp68Ca2/bgfTiXt8dq0LrBySC6jxNhKRERUcEs/7Nm4H+Hn45BgFYck12hcv+YLY5ZbVDjljIjoFS09iQiPwIl/L+Dcliuo3MoNnT5opUYeiYiI6Pliq5SyuXHwHvYtOIKiFZzRZ0onWNhwdQIREREKeumHA54IOhqtJlyFlfDDunXr0aBhA9StW7fAz/4VTAATEb2CkUePg5547BmGqLtxKN+iFLp82BoGhga81kRERM8bWw95Iuh8BEIvxKBI5ULoN60rTC1MeD2JiIgKOBkg9j8VjpiAOHT7rC1QKA5HPI+iXYe2CPWPyO3m5QmGud0AIqL8NvJ4aL8nAg5FquSvUy0bxJYKQ0JiQm43jYiISK83dAk7F6uSvzZlLGBWJxGGJhxYJSIiKujkc8LdM96IuB4Lu4qWMHJJxM0bt9Smbyy5+BRnABMRvUSBj4PguysEsf4JcH+7MeyqWKjdyGVEksGHiIgo+8JCw/HYI3lVTY0OlVCmfVGcOnWasZWIiKiAkxVCB3d54OGmYBhaAQblolX/28TEBM2aN2XpBx1MABMRvSRh/uHYMm0fYgMSUKy1o0r+Xr/mpYKPpWXy5jRERESUdbHRcdj782HtqpoyHYrC6/oNxlYiIqICTrNCKPBYJJLigVJdnJFgEYsOHdur2b/Gxkx56mIJCCKilyDgQRCWf7QRoX7hcB/TEKbFDdTIY1RUFEceiYiInkNUaDRWfbEFd057o26/qrCpYYpTJ08zthIRERVwkvz18/ND4MVwRDyIQcs3GqJW82pITExUG68z+fsspsOJiF6Qz/XHWDt5O5KSktBvRlcUq+SCWvHV1NJUmfnL4ENERJQ9IY/DsGbSNgT7hqLLx61RpVV51dljbCUiIirYpOyDp8dhhPlEIPRcDMxcjLn6NguYACYiegE3j93F5u/2wsLGDH2ndUGhkg7Jb67Gxqz5S0RE9Bz8bvmrgdXYqDj0mdwJpWsXZ2wlIiIiNRgsyV8zYzP4n4+CkZkBHtncwYkT5jAzM+fq2wwwAUxE9JzObL6EfQuPoFApB9VBtSlkzWtJRET0Au6e9cbG6btgYm6CAbO6w6VcIV5PIiIiUmQlUFxcHJK8TBH+OBKN3q6BuyFWcG/jDhcXF66+zQATwERE2RxxjAiPwOnVl3B6wyWUrlMc3Se2g5mlKa8jERHRc9CUdrhzxBt75h2GfVFb9JnSCfZFbHk9iYiISMvU1BThd6IRciwUZVsUR4hhIMzNzZn8zQImgImIslFr6NB+Tzz2CEX0g3iUa1YSPT5ur4rMExER0fPFVrWD95lwhF2OhXMFJ/Sb2hUWNua8nERERJTiM8P+bYcQcjIGcWax8DN/gMJRhVj2IYuYACYiyuLspIO7PeB/MALRfvEoXN8W8WXCkYQkXj8iIqLnjK0eBzwRdDwKYTdjYetmAYv6STCxYBeFiIiInv3MEHA4QpV5KN3dGVGIQLceXdUMYMqcYRYeQ0RU4D284YtH20IQ7R+Hzh+6o+nAetolq0RERJR9Ab5B8NkVgtCbUWj8eh24j2qE+ETGViIiIkpJ+t0Bp8MR/TgO7d9vgVpNqqtEcGxsLC9VFnF4nYgoE3dOP8DmWXuQFJeEEp2dYFrcANevecHExASWlpa8fkRERNkU8CAIGyfvRmxAAoq2coBLQ3vGViIiInqGTLy6e8Yb4ddiYVfBkv3x58QEMBFROpKSknBm0yXs/+MoHIrZofl7dXD++nmcPHFKJX+bNW/KXUaJiIiy6e5Zb2yauRsGhgZoN6EJbjy+zthKREREadb9PbDTA482B8PQCjBwi+ZnhufEBDARURoS4hKwZ74nLuy8hjJ1S6Dbp21gZmWGstXKqOUnMvNXlpwQERFRNgZWN1/C/kXJA6u9v+oIB1c7VIuvzNhKeicoMAirVq6G9wNvlCpdCv0H9IONjU2Gz/G67oUd23bC398fzs7O6NKtM8qULZNjbSYi0ru6v7JR7NFIIB4o1dUZ8eax6NCxPWxsbdgfzybWACYiSiUqNBqrJ21Vyd+6Paqj99cdVfJXSNLX1taWwYaIiCgb4uMSsGvOIexbcASlarli0I89VfKXsZX00ePHT9ClQ1fs33sAxUsUx9bN29Cjc0+EhISm+5wd23agU7su8PHxRTm3crh96zbauXeA5yHPHG07EZG+JH/9/PwQeC4MkQ9j4P5WE9RsVg2JiYkwMjZif/w5cPoaEZGOJ3cDsX7aToQ9CUeHsS1Qo0NlXh8iIqIXEB4YgY3Td+PRNT/U7Vkdrd5sBEMjzkMh/TX317kwt7DAP8v/B1NTUwwZNhitmrXGnwv/xISPP0jzOcuWLEe7Dm0x87vpyTcMh0oG/7t8JZq1aJazJ0BElMfLPnh6HEbogwiEXoyFeTFjWFc05V4BL4ifvIiowJPRxdDQUFzadx3LJqxHbGQs+k3vwuQvERHRC8ZXr1O38c/YdfC75Y/OH7qj9dtNmPwlvbdn91506txRJX+FlAZr176tuj09RYoWQWBgkPbnhIQEBAUFoVixojnSZiIiffnsIMlfE5gi8kwSjCwN8dDqNk4cP4GoqCjuw/MCOAOYiFDQRxc9DnrC/0Q4Irxi4VTGHn2/7gLbwta53TQiIiK99ejhI+z4ax8CTkTAyNwQ7T5uiqpNK+R2s4heWFxcHB56P1SlH3SVKFkCG9ZtTPd5X371BSZPmoKuHbujfHk3XLlyBXXr1cUHH43P8PWiIqNU0kMjOCiYv0Uiyrdkv53Y2FhEnQdiw+PQ7P068PKxhHsbd7i4uLD0wwtgApiICvToouwoGuAZgSjfWNhXtoJ1HUNYOpjndtOIiIj0VlRENDbO2oXwWzEo5GYPhyYWuOZ9BZXjK7DjRnovJiZG/WtlbZXidisrK0RHR6f7PC8vLxw9cgwtWjVH5SqVkYQkHDxwCIOGDELValXSfd6OLbuwYfXmZ25/cNsHoQER0DeJCYm46/UA+kqf26/PbRdsf8G49jGxMfA9HoTEO8Yo0dwFV+5cRnRMDKJCY+Ed4VPg/nZKVyjx0o7FBDARFVi3ztzFoy3BQLwBOo5vCfNSRjh54pQadZSN3oiIiCh7gh6FYP03OxB+LwZu7iXR44MOuHXrFuMr5RsWFhYwMjJCSHBIitvlZ2ub9FeQffrhZ6oG8LQZU7W3jR09Dl9OnIT1m9em+7yOXdujZZvmKWYAT5k4AyXKFoWjkyP0jSRhXmZCI6fpc/v1ue2C7c//116tzl3ricS7RoixjkCglS8K2xdCx+btUfQFyuXo+9/Oy8IEMBEVOEmJSTi14QIO/n0cRpYGKN65kEr+Xr/mBRMTE1XHjYiIiLLn+uHb2PHzQYm0KNzKGiYVElXyl/GV8hNJ/rqVL4ebN24+M8O3YsW0y5wkJSXh/v0HGFG5UorbZSaw56HDGb6ehaWF+iIiyu+rcw/u9oC/RwQs7M1RrksRhMeEoVuPrjA35wrdl4GbwBFRgRIRHIW1U7bjwJ/HULpOcfT6pj1gnaBmJrGoPBERUfbFxyVg74LD2DRjN+yL2GDoL33QYVBrFVcZXyk/6t6jG7Zu2YYnT56onx888Ma+PfvRrUc37WP27dmHr774Wn1vYGCASpUrYf/e/SoZrNkEbv++A6hcJWVSmIioIIoIj8BjzzAkRCWi1xcdUb1uVVU2SuoB08vBGcBEVGDcPeuNbT/uR1RYNFqNaIR6PWvAwNAAxcu4qrIPMvNXggwRERFlTeDDYGyetRePb/mjRsfKaPNuExibSiy1Q68+PRlfKV8a8c5bOHL4qNrQrXadWjh14hQaN22MAYNe1z7m8qUrWLNqLaZOn6J+/mbmNLz95jvo2LaTSgZfvHAJMdHR+HvJX7l4JkREeWP279nNVxDzKB7OjewQaRTG1UOvADMdRJTvJcQn4PDSUzi+5hzsi9ii99c9UaR8Ye39kvRlzV8iIqKsk1mMl/d6Yc98TxgYGqLbZ21RqXm5FI9hfKX8ytzcDEtXLMGJ4yfx0Psh3n7nLdStXzfFY1q3bZ2iZmWt2jVx6MgBnD55Gv7+/ug/oD/q1qsDMzOzXDgDIqK8Qer+7ll7AL47Q2HsAsQWDlOrh6Q0Y7PmTTlB6yViApiI8u0ooszqjQtLwPafDsDn2mNUbuWGdqObw8zSNLebR0REpLex1TDRCPsXHMW1Q7dQtJIzun7cRg2wEhUkUtahYaMG6d5ftVoV9ZV6A7lmLZrlQOuIiPSt7q8Zind0RHR8FDp0bA8bWxsmf18yJoCJKN9Ru4ce8kTI9UiEnI2BkaEhOk1wR7U2aW/MQURERJnHVk+Pwwh7EIXg49FIjEpE49froPGAOjAyNuLlIyIiomwlf318fOF3KBQJ0YnoP7UTIgxD1exf+VzB0owvHxPARJTvAsmBnYcQdDwaEQ+iYeFsCscmlqjUsmxuN42IiEhvY+uh/Z4IuxCLoEuRMLExQuH2tmg0oDaTv0RERPRcg8r+p0MR65sAm1qmKvl7/ZqXKv0ge/PQy8cEMBHlq3qE53ZcxsONwTBIMkTLNxvCvqolTp06rZasss4vERFR9t0+dw8PNwcjISwRNTpUQolWzjh34RxjKxEREWV7UFmSv4kBBgi/Egez4ka4HXUd1sdMYGZmzrq/rxATwESUL4QHRmLXnEO4deIeTJ2MULxNIThUt+IoIhER0XOKjY6D55KTOL3xIozMDVCikxPKti/G2EpERETPRSZmRYfEIOhgDOyL2qLpqFo4fc4c7m3c4eLiwtIPrxATwESk15ISk3Bp73Uc+PMYYqPi0HxYA5Ro7IwjR45y91AiIqLndO+cN3b+egghfmGo2qYCqnQri5NnTjK2EhER0XPP/o2NiUXQ0WjERsWj8chauH3vNszNzZn8zQFMABOR3gp+FIojizbh4RVfFClfGB3Ht0Th0k7qvl59eqrRRakfxALyREREWRMdFoOtP+zDlf03YOtsjb5TO6NM3RLqvuJlXBlbiYiI6Pnr/p4MQ8zjeFjWNMCNh9dVzd9mzZuyz54DmAAmIr0TGxmLw8tPqyWpphYmaDe6uapJaGhkqH2MJH1Z85eIiChrEhMScWHXNRz46xjio+NRr1cNNB1UT8VZxlYiIiJ60bq/8Y+B8KuxsCtvCZuqJujYqQNsbG2Y/M0hTAATkV5t8ubleRv7Fh1BeEAkStVzRZfxrWHlwF1CiYiInteja37YM98Tfjf94VjKHl0/bAOXcoV4QYmIiOiFhYWGIdg3BBEegFNJBzQeUQNnz5+FkbERk7/5MQEsiZuli5di08bNiIyMQqPGDTFuwtgMZ+hdunRZPefqlavqcW3atcGgIQPVFHGN994ehevXvVI8r0On9vh04iev9HyIKGdGCjVlHALuBuHAX8dx//xDFTS6ftwGCWYJTP5Sgbdzxy4VK/39A1ClahVM+Hg8XF1d070uDx54439//g9nz5yDiakJGjZqgLfffQs2Njbax8ya+R12bt+V4nkVK1bA/EXzCvz1JspP8TUhMglHlp5W5R4sbM3RcVxLWJe0ZPKXiIiIXlrph/17DuLJwQgYx5mgZMdCuHXnlsrrST+f8mEC+Ldf5mLhgkWY/u03KOTkhBnffIu33ngbK9eugIGBwTOPv3TxEiZ+8jkGDx2EAYNeh/eDh5g6eRouXriEH3/+Xvs4b29vtG7jjtcHva69zVanE0tE+l0jKCooBuEXYxFxNxZmVqZo+WZD1O1RXY0W3vV6kNvNJMpVO7bvxPsjx+DzSRNRo2Z1/D5vIfr16o8de7enSOhqREVFYdjAYRg0dBA6d+mEiMhIzPzmW3gc9MTq9Su1I/CP/Z6gbNky+OzLz7TPlc0ZiCh/xNdDez0QdDEC4ddiARiouNpkQF2Y25gxthIREdFLG3D2OOSJ8HNxMIkxQ0TJAGzfvw0NGjZAi5bNOfs3PyaApcM5f+7v+GTix+jeo5u67ec5P6Ftq/bw9PBE8xbNn3lOxUoVsXn7Ju3PNWvVRGxsLD4c/xGmTp8MKysr7X2OTo5wcyuXE6dCRDlAAsXB3R6IuBqHoCsRsoQAtlXMMXBiH9g4WvN3QPSfn3/8Ga/1fw1vvjVc/TxnXlXUq9kAK/9dhbfeGfHMdZIk7q79O1N82HJyckKXDl1x+dJlFWs1rG2sGVuJ8pnoqBhsW7gHIRejkRCdCOvS5rCraY4WbzZgJ4yIiIheKlltFHJdvqLV3gJFmzrgiOdRtOvQFo6OjrzaOezpjkmv0PlzF9QvvmWrFtrb3Mq7oUTJEjh6+Fiaz9Et86BhaPjsTGGxesVqdGzbGW8MGY4li5ciMTHxJbaeiHJSTGQsPJefhPf6IAReDEel5uXQ9ovGsKlpiiRj/t8m0ggKDMK1q9fR0v1pbLWwsEDjJo1w7EjasVVW3OgmfzOKrUePHEPn9l0xsN8g/DL7VzWYS0T6KSE+ARd2XsPfI1ch8GQkbF2sMWBWd7Qd1wSwTFSf04mIiIhe5qQu3xtPEHwqGpZFTVGsqSNu3rilNn3jZu35eAawLDUTzi7OKW4vXLgwfH18s3SM6KhozPttPlq5t0wx+7dkqVJo2ao5KlWupGoFf//tDzh7+ix++vXHdI8VFRmVoiMbHBT8HGdFRC9TRFAkTm+6iHNbryAmIhbmRU1QtIkDKjYrievXvFgjiCiVR5rY6pwqtjoXxoXzF7N8vWb/+AtKly6l6gdr2Nvb4e13RqB+w/p49PARfvjuJ+zbsw9rN67JcJYg4ytR3hIfl4DLe71wfNVZhPiFoVApB1hWN4JjeRtEmYYzvhIREdEryQHKit5HW4NhYAKYVI/H6dNnVJ++WfOmXHWUnxPACQkJac7qNTU1RXxCfJaeP37sB2rnwG+Xz0xx369zf4aRkZH6vkbNGnByKoS3hr+NUWPeU7OM07Jjyy5sWL35mdsf3PZBaEAE9FFiQqJe12zT5/brc9vzQvsjAiJxff9t3DnhjcS4RBSt4oxKbcoi0UaCxGns2LwLxiYmqFu3Lrxv++Sptr8ofW6/PrddlK5QAvouMTE5tpqaPhtbE7IQW8UPs37EYY/DWLFmeYoYLTWFNbFVykJUrVYVLZu6q43hunTrnO7x8lt81fe/c31uvz63PS+0Py46DrePPoDXwTuIDomBXTEbNH6jNlyrF8GTgCcqvt69eS/N+JrbbX9RbH/uyQ+xlYiIXkLd34OeCDwaicQooGTXwki0iUOHju3V7N+MJpPQq5UjV97BwV67XNWliIv29qCgQFSsVCHT5O+EcR/i/NkLqoOaehaxpoOq0aBRffWv13WvdBPAHbu2R8s2zVPMAJ4ycQZKlC2q6gnrI/mgrs8fuvS5/frc9txqf1JSEnyuP8aZzZdw7dAtdVulFuXQ8LVaKFzaSfu4Og1rqmWpsjtoWoGC1z736Pu1zw/sHRzUv4GBQSluDwwMhL198n0ZmfPzb/jrj7/x95K/UL1G9Qxja8lSJVGkSBF4eXmhC9JPAOe3+Krvf+f63H59bntutj/IJwRnN1/GxV3XEBsVh2KVXdBwbC2Ua1AKBv+VeymDkhnGV1773KXv15+IiAo2+XwReC4cEQ9i4f5WY9hVtcDJE6fUJu5M/haABLB0LKXu4NkzZ9Gxc0d1W0hwCG7fuoO333073edJLV/Z9O340RMq+VuqdKlMX0uWqgoZWUiPhaWF+iKinBUVFo0r+2+oOoT+dwNhbGqEmp0qo37vmrAvYvvM4yVAsD4QUdqKF3dVG7hJbJVddDXOnD6LLl3TT9KK336Zq8oq/fXPn2jYqEGWyjAFBAbAxib92CoYX4lyZ8br7ZP3cW7bFdw580B95i7fuDTq9qiO4lWLpvkcxlciIiJ6FbN/5TNJ2KVY2JS1UBu5s5xjAUsAy6zdtu3bYu6ceWjSrAmsra3x4/c/qcROx84dtI97Z8RIlHMri08nfqKSvx998AmOHTmukr+ly5R+5rhS8/f0qTN4rX9fmJmZwd/fH19PmoLiJYqjQcPMO7RElDOzfb0v+eD8jqvwOnwHCXEJqgZh63eaoIp7eVjYmvPXQPQcJMkzYNDrWLZkOXr36aU2Vl3yvyXw8/VDvwH9tI+b+c23uH/vPuYvmqd+lsSvfMnM30aNGz5z3PDwcCycvwhvj3xLJXylZv6XE7+CsZExOnVJHsQlotznfz8Il/dcx+X9NxARGAlLO3M06FMLtTpXgZ1LxoM1RERERC+77u/+LYfwaFswDG0Ao0oxOHXyNOv+5iE5Vnxj1g8zMXbUONSr1QDm5uawt7fHwr8WqGSwxoP7D7Szi454HsG6NevU7KY3h72V4ljyPDe3cqqzu3rlGnVMG2tr+PsHqILSy1YsUQlhIsrZ0T7NclJDA0OV9L1x7C5uHruL0MfhMDEzRpVWbqjRsTKKVnRWySsiejHjJoyFj48vWrdoq+KnDLj8PGe2ipEafn5+8Pb2Vt8/9nuM72Z+Dxsba3z+6RcpjvX5lxPRtn0b9X9YZvK2atpa1ROWmb+VK1fC0hVL4Orqyl8ZUS7FVpm1G/gwGDcO38HVQzfx5E4gYACUrl1cLbEs36QMjE1Slm8hIiIiyonPK4f2euDJwXD1eaVkl0KINYpm3d+CmgB2dHRUnceAgABER0ejWLFizySAJLFrZmqqvq9Trw72HNyd5rFKlCiu/pXk8VdTJuGLrz5XM54KFS6kOqtElPOjfYf2eSL8QRRiHiUgzi8JsRFxMDQyRIkaxdCoX21UaukGM0v+/yR6mWTjth9//h5fT52kSisVLVb0mdpaktiNjYtT30sd3vRiq8t/NfYNDQ3x3uiR6kv+b9s72MPCgmWTiHKa/P+TTVQifKIR65sIg0AThPiEqfucyxVCyzcbolILN9gWfjqZgoiIiCink7++Pr7w8whFbEgC+k7uhHjbGNb9zYNyfPs9mdGbHk1iV8hMB90ZTBmRzWqKuRZ7Ke0joqwJ84/Ao6u+eHDZB5ePXkdsYDyQCBiaGMC8mAnajGwFtwalYW7N2fhEr5qUVEqvXrbu5qmSHM5qbBWSUCainBMXEw+/m09UbD29+xxinsQjMS5JzfQ1KxSP5sPqo2KzcnAoZsdfCxEREeX6YLWnx2H4nwlFzMMEWFc3Uclf1v3Nm3I8AUxE+kOWk0eGRCPYJwTBPqEI9g1F4INgPLrqh9An4eoxMsvXyB4o26w46rSpjhjLKJw5cwYl6xVl8peIiCidjdukPJKUdJC4+uRuAB7fDoD/vSB1nzCyMkDxOkVQo0UVJNrF4vzl86jS0Y2boxIREVGemPkryd/4x0D45TiYFTfCnVgvHD9mCjMzc1WeNfXKRMpd6f42ZMOY9es24OjhY7h7567aFEaWgVaoUB7NWjRDz949VFkHIsp/9i06gvvnH6mEb1xU8tJxDSsHS1XDt1bXqnCt7IJCpR2wecsWmFlAjfbdvHZTLUuXWfxElJKUQdqwbiM8D3nCy+uGKtsgtXtLlS6FJk0bo1efnqq+PRHpv7tnveF92QexUXGIjYxDVEgUIkKiEB4QifCACCQlJmkfa2ZlCueyhVC7W1W4VnKBs5sT9hzaAwsLIxgXS8L1a3cYW4legNTS3rxxMw7uP4TLl68gMDBQ7UtTvHhxNGzcAN17dEeVqpV5jYmIsvG+GhkQjcAD0ShU0gGN3quOU2fM4d7GHS4uLkz+6kMC+M7tO/h2xizs3rkHJUuWQO06tVG3Xh1YWlkiNDQU9+7eU7uHy2P6v94PH3w0nolgonwmLjoeFrbmKtFrX9Q2+atI8r9p1fGV0T0Z/Tt54hR3+SRKJ/H70/ezsXrVGrUJat26ddCtR1eV/I0Ij8CjR4+wZvVa/PzTL2jfsR0mfvGZSgoTkX4ngE+uPQ9DY0OYWpjA0s4ClnbmKFbJGbbONrB1toajqz0ci9vDppDVM3tjMLYSvbioqCjMn/s7/v7jbxgaGaFOndpqUyI7eztER0WrjVL37dmPBfMWon7D+vhi0kTUrFWTl56IKLNNasOiEOQZhcTEJNQaVBG37txWA2tM/upJAjgoMAjdOvVA7769sHXnZlSuUjndZeFHjxzDsiXL0btbHxw4vD+n2ktEOaDDmBbZerzUCZWZi7o7lRPRUz269EKt2rXwz7LFaNiowTOJHo3Ll65gxfIV6NKhGw6f8ISdXdp1fYko72s6qB6aDakPYxOj53o+YyvRi3tnxEgkJiTgp19/gnvrVul+RpXVr6tXrsHQQW9g2YolqFa9Gi8/EVF6m9Qe8oTfvlDEhSTCuqEhrt65wolgeiBFBLSwtMTu/Tsz3fRFOq6yVFW+ZMYwEZF8oE5vEyqigm7J8sUoU7ZMpo+rWq0Kps2YipGj34W5OTdQJNJnJmYvPhjK2Er0YqZ+MzlL8bdkqZL48JMJeOudEUhMTK7DTUREadf9jbgch+iH8Sjc0BbmboZqZYWNrQ0nguVxhro/JCTE4/z5C4iLS1nzMyNZCahEREQF2aWLlxEREZHlx7u6usLMjAlgIiKiF3Hz5i1VhimrpDSEg6MDLzoRURrJXymbE3wzHP5nwlCpRTk06V9XDZoZGRsx+atvCeCIiEiMfOs9NKzTGFO/noarV67mXsuIiIjyia+++Br1azXEh+M/xrGjx1UpJSIiInq1FsxbgEZ1m6hSELt37VEJDCIiyp7HTx5j/doN2LlmL4KORsHY3hBuXYrD6/oNblKrrwlgZ+fCWLtxDTp06qA2qunUrgu6duyOxX//g+Cg4NxrJRERkR5bvX4lhrwxGJ4enni97wC0bOqOX2fPwcOHD3O7aURERPnWnHm/YvyEsbjpdQNvD38Hjeo1wfSpM+B13Su3m0ZEpBdk4Oz06dMwgSmiTiXByNQQfk53cfrMKbXRpmxayz2A9DABLOrWq4OZ303HybMn8Mvcn9USmClfTUWDuo0w+t33sX/fASQkJOROa4mIiPSQW3k3TPziMxw54Yn/Lf0bNWrWwNzf5qF5o5YYMmAoNm7YhOjomNxuJhERUb4ie9uMHjsa+zz2qolO7dq3w4p/V6J9647o0aUnlixeipCQ0NxuJhFRniUbvcfFxCHoSBSiQ2PR9J06qFq3MtzbuKuN4DPbQ4zycAJYQzaf6dGzu9q4Rjqs4yeMw7Vr1zF8yJto2qA5fpn9a862lIiISM8ZGRmhlXtL/Db/V5w4cxxTp09BWFg4xo0ej/q1G+CLz75ETAwTwURERC9b6olOtnZ2+PrLyWhQpyHGjh6Hx36PedGJiFLN/pWvhFtG8L8ZjBq9ysM/9jHMzc3h4uLCmb/5JQGsq0jRIhj1/nvYtW8Hxn84Do8fP1ajpURERPR87OxsMXjoIGzYsg4/zP4eCfEJWLZkebY2iyMiIqLs0Z3o9M+y/8HGxgabNmzGvXv3eCmJiP7j88hH1f1dO2cz4h8YwKy0AZ4Y+7Dsgx4zzuruqWtXr8X6NRvg6+uLChUrYNCQga++dURERPmUn68f1q1dj7Wr1+HmjZsoVqwo3nxrOKytrXO7aURERPmWlHzYvHEz1qxai3Nnz8He3h7Dhg9FObdyud00IqI8QWb9enocRlKQIUJOx8DYyQCFG9miY+cOsLG14czf/JYATh0Ybe1s0a17V7zW/zXUql0zZ1tJRESUD0id3907d2PN6rXwPOQJYxNjtO/QDl9NmaQ2UDA0zNLCHCIiIsoG2cPG45Cn6tvu3rUb8XHxaNaiGX6bPwftOrSFmZkZrycRkU7d36jAGATtj4FtYRuU6V4ET8J8YWRsxORvfkkAJyUl4eCBQ9rAGBcbh6bNmqgaSR06dlDLZYiIiCh7zp45h9UrV2PL5q0IDQlFjZrVMXnqV+jeq4cqBUFEREQvn6xklfi7Yd1GtfKmbNkyGDt+DPr07a3KHBIR0bOzfyNDoxDgEYnEuCTUe6Myzl85D2t7K1haWvJy5ZcE8JMn/nhj8HCUKl0K748ZjT6v9UYx12K51zoiIqJ84M2hI2BkZIh+/V/Da/37omKlirndJCIionzvs48+w7Wr19GlW2cVf+vVr5fbTSIiytN1fz0OesJ3TwjiQxJh3cgQ1+5dRXRMDDo2b8/Zv/kpAWxjY42Va1egYaMGudciIiKifObXeT+jcZPG/NBERESUgz769CPUrFUDFhYWvO5ERFmo+xt6LhYxvglwaWoP09JAh47tEeAXjKLFivL66bkUxQYlMKZO/j58+BBTv56Ggf0GoV/v/khMTMTcX+ciNjY2p9tKRESkl5q3aJ4i+RsSHILZP/6MYYOHo33rjqru/tJ/lsHXxzdX20lERJSfNGrcMEXyV2rx//XH33hr+Dvo2LYzLl28hO1bt+PK5au52k4iotxO/vr5+SHwchiCLoWjVucqaNSntsr/qbq/RuluH0Z6JMPdZvbvOwD35m1w5vRZFC9RHLdv31Eb1EipiFUrVudcK4mIiPKJG1430KpZa2zZtBWursVw/959JCTEq/g677f5ud08IiKifCkgIACd23XGgvkL4ejooAZjo6Ki4OjkhOlTp+d284iIcq3sw/q1G7B92R6EnI6BqbMhSrZ2htf1GzAxMWHd34KSAP7qi6/xxaTPsWHLOrV8RqNDpw7qD4SIiIiyZ9aM71Qtwt37d2LGrOnamUkdO3fAhvUb1YasRERE9HItnL8IriWK49CRA/jux1lwLZ68142sgL165Roe+z3mJSeiAln2wTDaGOEn4mFsY4hHdndw8uRJNUDWrHlTlrDLR9Kdxy0jok8eP8GQYYOfuU9mA/s8evSq20ZERJTvXLx4CV989bma8avL0dER8XHxCA8Ph42NTa61j4iIKD+6eOEi3nzrTZiZmT1znySDHz3ygbOLc660jYgoN0RGRiI6LAahByNUqYeWY+rh0k1LuLdxh4uLC5O/BWUGsJm5OeLi4lQiODU/X1/YOzi86rYRERHlO1aWlnj8+Mkzt4eGhiIhMYHLrIiIiF4BSysrPH6c9ixfP7/HcHCw53UnogI1+zc6MgaBHlGICo5GvWFV8TDAG+bm5kz+FrQEsLm5GerWr4uPPvgYQYFB2ttlaepfi/5GS/cWOdVGIiKifKNp86aYPGmKqv2r64+Ff6JZs6YwMjLKtbYRERHlV7KU+eeffsGF8xdS3L5xwyY1OFuqdKlcaxsRUU7X/V23Zj1WTdmEWP8EWNQywJ2Amyz7kM9luJXf11O+wuuvDUCTBs1QvoIbwsLC0LFtJ8THJ2Dm9zNzrpVERET5xNgPxqBPj9fQukVbVK5SCREREXhj8HA8uO+NNRu4wSoREdGrMGDQ69i8cQt6dOmF8hXKqx3vv/5yCu7euYtFfy3gRSeiAlX3N/xSHKLux6NQPVtYVDREh47tYWNrw7IPBXUTuKrVqmDHnm0Y+sYQ2NnZoWGjhujarSvWb14LOzvbnGslERFRPlG4cGFs3r4J4yeMg1MhJ9RvUE/F1607N6OcW9ncbh4REVG+JLV/l69aiinffK1m+1apUgW1atfEuk1r1OocIqKCUvc3+HoEAs6GoUrr8mg6sC4SExNVDWBj4wzniJKey/S36+rqiolffpYzrSEiIioAZBD1/XGjc7sZREREBS4JPPSNoeqLiKggzv69f/4Rgk9Ew7KoKcp1coXX9RswMTHhPiQFANP7RERERERERERE+bju777NB+GzPQSGloBJzXicOXNGJX+lRjpn/xawEhCyK/nrfQfi5ImTWRo52Lp5Gwa8NuhVto+IiEjv9e87ADu271TLqzJz9Mgx9OvdH4GBgTnSNiIiovxqzKix+HfZCsTExGT62CuXr2Lk2+/h1MlTOdI2IqKcIvm7AzsP4fG+cJiYmqBMtyKwdbJFp84d0atPTxQtVpS/jII2A9jJyRGt27rjzaEjUKRoUVUEulbtWuqPwcrKEqGhobhz5y5OnTiF7dt2wMzUFBO/nJh7rSciItIDAwcPwOQvp2DKpKno1KUj6tari5KlSsDGxgbhERF46P0QZ06fwc5tOxEQGIhx48fA3t4+t5tNRESk1wYMGoDJk6bg2xmz0LlLJ9SrXw/l3MqpUkzR0dHw9fXD+XPnsXf3Xly/7oXhI95A1WpVc7vZREQvNfn74I43fHeHIikGeO3bLogwDMXJE6dY97cgJ4CNjIzwzsi38Vq/vli+7F+sX7sBv/06N+UTjI1VsfxPJn6M7j26w9zcLKfbTEREpFd69OyO9h3aqbi6csUqLP77HyQkJGjvNzAwQMVKFTFoyCD0e/012Nnb5Wp7iYiI8oMmTRtj++6t2LFtJ/5d9i/WrlmH2JjYFI+RDeG6de+KhX8u4Cw4Isp3ZR88DnjCZ3cw4kIS4NDMXCV/r1/zYt3fAijNGsAOjg4YPWaU+vL398e9u/cREREBe3s7NWJqZWWV8y0lIiLSYxYWFmomsHyFhYXh9q3bCAkJhbW1NUqXKQVHR8fcbiIREVG+I5OcunTrrL6io2Nw8+ZNBAUGwtzcHCVKlECRokVyu4lERK9k5q/HIU8EHY9C7ONE2NU1ww3/a7A4ZgwzM3PW/S2AMt0ErlChQuqLiIiIXg4p/VCzVk1eTiIiohwkq1erscQDERUAkZGRCDgZjvCbsWgysC6c69vB8qgJ3Nu4w8XFhZu+FUCZJoCJiIiIiIiI6KmHDx/in/8tgfeDhyhduhSGvTkMzs6FM71EsinsgX0HkJSUhO49uqFp86a8rET00mf/nttyBeHXYmFXyRKF69mqsg+y8oHJ34LLMLcbQERERERERKQvvL0folvHHrh75y5aurfAxYuX0L1TD1U+MT2S8B07ehy++uJruJV3U/WJFy38A7t37cnRthNR/q/7u/THlTi+7DyMnQEDt2icOnkaUVFRLPtQwHEGMBEREREREVEW/fbLb3Ap4oL5C+fB0NAQPXv1gHvzNlj0+x+Y+OVnaT5nzaq1ajO6bbu3ws2tnLqtR68eCAkO4XUnopc283f3yv144hkO+5I2cGlrg8iYSHTo2B42tjYs+1DA5WgCWEZED+w7iKjISDRo1EDteJ6Zs2fO4eqVq7C1tUXjpo3g5OT0Uo5LRESUH8gmrfv3HkBAQACqVK2M+g3qZ/qcG143cPbMWZiYmKJuvTooWarkSzkuERFRQSB9z/4D+6nkrzA1NUW79m1xYP+BdBPAq1euRqvWrbTJXw07e7scaTMR5e/Er9T89fV6gscHwmBdyBKDvu2Fh37eOHniFIyMjZj8pZwrAXHm9Fk1Krp+7XqcPHkKPbv2xh8L/shw2nq3Tt0x9etpuHjhElauWIWWTdyxc8euFzouERFRfvHo4SN0aNMJv89bgIsXLuKdN0fikw8/TffxcXFxGDZ4ON5/b4z6MLhn1x60a90BC39f9ELHJSIiKihiY2Ph6+uLYsWKpri9aLGieHDfO93nyaSmmrVqYMXylRgzaiwmT5qCo0eOZfp6UZFRCAwI1H4FBwW/lPMgovxBcmfr127A+qWbsHnGXjXNs0hbW5X8lbq/JiYmsLS0zO1mUl6eARwUGITvvv0Bg4cOQtVqVV74hT796DO0a9cWP/36o/p53Zr1qjPZoVMHlChZ4pnHGxgYYOZ3M1CtejXtbTOnf4uPJ3yiRlc1o63ZPS4REVFumvjJ5+jWvSuaNGvywseaPnUGChUqhNXrV6oPd5cuXkK3Tj3QuWtntHJvmWb9weEj3khxn8TND8d/pJ5TvLjrcx2XiIgor/tu5veoUbM62rZv+0Iz4f7f3n1AR1W0YQB+03tIIAktdAgQeu+9Su8gHURRQFEsyG9BUUGxA/YOIigKKCK9995776T3XvY/38Rdd1N3k03Z5H3OCSG7987O3jIz97tzZ+RmqnB0cjJ4XQIsCQkJWa4XGxunJo2TJ2q69+iKq1euYcLYiXht7qsYN2Fslutt/Hsz1q5al+H1O9cfIDIkBpYmNSUVNy/fgaWy5Pxbct4F859RckoytmzZAjuNPWIOpEKTqkGKfwzuB93H3XV3YWtnh2bNmuHu9Qfc9pct89iv6me+uGaWNZ+tnS2OHjmKFctXoEnTJioQ3Ld/Xzg6Opj8IZcvXVaPmy5Y+I7utf4D++GN19/Epg2bMGXqlAzrlCtfTv3oa926Fb76/GuEhoaqC9PcpEtERFSY7t27j9Ejx6J6jeoYM240hg0fmqvHP6UH0pYtWzH3zddVkFbITdOGjRti/br1mQZq5RHV9K+3atNSBYZv37ylAsC5SZeIiKiok6GNpk2dAW8fb4waPRKPjh6V4XrTGE5OTqp+jEw3dq/0zC1VKuv6XIY0lOEMl3yxyCB4s/jTJdkGgHv364lO3ToYfM6bc+ajUvXyKF2mNCyNBGHMGdAoaJacf0vOu2D+M4qMjISbqyti9qciNTEBHaY1w7XAK+jdp5e60SU3pvJyw4vbvoQMAeHm5oYtOzZh5e8rUNG3Il5+cQ7aNG+L+W8tULOdmuLqlavqt1zsakmlWblyZVy9es3odDZu2KTyIsHfvKTLx2iIiKiwLF3+IzZu/UfN/v3xB5+gVbM26umW06dOm5TO7dt3kJiQaFAHiho1aqheRcaSCWkkMFzHv06e02X9SkRERdWbb7+B3Qd2YeiwIVi+dDnateqAqVOexJ7de9SNUGPJk6h+tf1w/vxFg9fPnzuPOnWznotGxtOvkm7M/apVq6phHVJSUrJcz8nZSQV6tT8enh5G55WIive4v/Ex8QjdHYvIhzFoPt4fQfEBKiYmN5zkxxzBXyo+cjwaWrdppX6CgoLw24rf8Mvylfjmq2/RvmN7dadShmOQ4RqyEx2T9miKHID63N3dEB1t3GMrf/25Dqt+/R1fffdlntMtbo/RCD4OwW1fEo8dS867peffkvMuCrv3Q526dfD2grfURDEyZtfPS5djQJ9B6tFUeeJGZgV3cMj+iZuY6OjM68BS7qqXkzFOnTyF99/9ADNnPYPSpUvnOd3iVr9a+nFuyfm35Lxbev4tOe+C+S+5dasx5EmXl+a8iGefn6k6F0n9O+7RCahatQrGjBujJnZLX/9lZvDQQVjy6WeY9vRTqFTJVz2VumP7Trw1f55umfXr/sHGDRux+PO0Hr/DRw7DvLlvIzAgED5lfVTw5p/1G9C0WRPY2Njk6/cmouI37u+eXXsRsD0SCUEpcG5ihTvRN1Xwt32Hdgz8UqaMvh3g7e2Nnr174uHDACxf9gtOnjiJfXv2wa92LSz5ckmG2Uz1OTmmjY8UHRVtcMcyKioKvpV8c/zsbVu24YVnX8Qbb72uAs55Tbe4PUYj+DgEt31JPHYsOe+Wnn9LzntR4uLigu49uqmbrLdv3caVy1fx6v9ex8cffIoPP3k/23GC5RFUEf1vwFYrKjJK9RbKycULFzFx7GR1QTr96WlmSbe41a+Wfpxbcv4tOe+Wnn9Lzrtg/skY8uRLp04dERQYhBvXb+Du3Xv49ONFWLxoiRoCaejwIdmuP3HyBJw4dgJ9evZFXf+6OHfmHAYM6m+w3vVr17Fty3bd33Jz98Txk+jepScaNWqIGzduqsezv/zmc+40IjKa3DyS4G/YgTjE30+GT5tScKhuhV69e8LN3Y3BX8p9AFjGAty0YTN+XrYchw4cUr2T3vvgXfQf2B8BDx/i7Xnz8erLr2Hl779kmYb2MdJbt27pArXymMvdO/fwSN9Hsv38Hdt24Kmp0/G/1+Zg/MTxZklXLmCNuTgmIiLKD/Ko6d49e1XPo62bt6neQ7NeeBbDRw5PGw/wkyV4etpMHD11OMunbGS4I3msS+rAVq1b6l6/fesWqlWrmu3nX7p4CaNHjEWffo9g3jtvmi1d1q9ERFTUydMvUv+u+/NvuLq5qrGAZUx+CZws++lnNVlrh04d4OPjnWUaUk9+9tUS1fNXgscytEP6oZP69u+jhn3QkvpchqGY8sRjuHbtuupgJUNGsPcvEZkiJjoGQfujEHs9CW1HN4NPi1I4cvgobGxtGPyl3I0BLDOYymOhbVu0w/PPvYCKFSpgzbrV+OufP1VvIZkMrkrVKpg773Vcv3492w+Rik965MpM41rbtm5HeHg4evbqoXvtj1WrsXPHLt3f8hjNk09Mw5xXXlZ3WXObLhERUVHxw3c/okv7rpgwZhKSEpPw7Y/fYMfe7WriUpkMTiaIeeOtuaoejkg3wYw+RydHdOjYHmv/WKsbu1B6MR07elz1ANC/kSrDTGjJBKoS/H2kb281DEX6ALOx6RIREVkSGZKh/yMDMLDvYFy/dgPvfbAAB47sw/MvzVKTwclTOU9Om6qCsndu3TYqzVp+tdCla+cMwV8hr3Xr0S3D65UqV1ITqtar78/gLxGZJCkpCfuWHlPB39INXeHd3B2XLl5WQz/IEwVEueoBHBERibWr12LSlEl4dMwo3diA6XmVKYPZc17K9kPk4vKdd9/G45OfQEREhJrE7deVv2HqtCdQs1ZN3XLffv0d/Ov5qwpR7qY++fhTqFmzpjrIv/7yG91y8miNXCAbmy4REVFRsezHZWpIJRnrt3K6yWD0SRDY8d/hGLLyytxXMHzQCIwfMxH1G9TDX2v+Uheivfv01i3z59q/cO3qNTVeoQyRNHrkWNja2arPljH9tbp266KrO41Jl4iIyJKs/GWlutZ89/13VfA1KzNmzkClbOpnIqLCGvd33aItiDgTB/sqVkitEoujR45x3F/KewDYy6uMmiU1p0dSpKdQTmMkiU6dO2LjFhkIfxPi4+Lx5defo12HdgbLSDply5ZV/7e2tsH4CePU/2VsJn3JSckmpUtERFRUbNq+UTXUcjJsxNAcl5Hx9zfv2Ii/1q5Ts4j/77X/qZ69+r16u3TrgoaNGqr/S4/ewUMGqf8HBwUbpBUfH29SukRERJbk+6XfGVX/8klSIiqK4/6u/2KrCv76NisL16a2iImN4bi/ZJ4AsLV1lqND5Jo8BjNtxlNZvi/jIWnVqFkdr7z+P7OkS0REVFQYc/FpChlD8LHHJ2f5/sBBA3T/l5nNja1bc0qXiIioJNe/REQFEfiNjY3FmY2XEHY8FuUbeGHk3AG4du0ax/0l8wWAZfbvDxd+lG3PXxmeoXefXmq8JCIiIsrZB+99iJiYmCxnJZex7aVulQAsERERmW8M/ttZjO0rk7qVLVcWPXp2V/PcEBEVhSEf9u7Zh/BLMQg/FA9bb8C9lYMK/nLcXzJrAFiGWTiw/yAuXrgIR0dHNVZgUmIi7ty5i5SUFPjVroXvv/0BH73/Ef7a8Kcak5eIiIiyd+rUaezdvVcNsVSpki9s7exw+/ZtJMQnoEbNGggMCMDCBQux4vcVqF+/HjcnERGRGVy+dAWr/1iNxIREVPStCFdXF9y9c091fJJr3ajIKLw3fyGWfLmYk54SUaH3/JXgb8LtVIQfjodzeXvYNUlGXHys6vkrTzS079BO3bwiMlaW4zx4eHqgeYtmGDJ0MA6fOIjN2zeqWcp37d+BJk2bYMKkCTh4ZD8qVvLFJx9+avQHEhERlWQ9e3ZHi1YtsPfgblWvbtmxCYePHUS/Af3QoWN7HDl5BD1798K8uW8VdlaJiIiKjX79+6BC+fLqulbq4I1bN+DoqSN4cvpUVKlSGcdOH8GMmdPx6pzXkJqaWtjZJaISTIZ9iLgcgwe7wuDrXw5dZ7aGaylX9OjVHf0G9FWTO5evUL6ws0nFJQCclJSEP1atxjvvva3GDNSqWLEiXnvjVSxf9gs8S3vi+Rdn4eSJkwWVXyIiIov287LleP2NV1GufDnda6U8SuHd9+fjt5WrYGdni9fmvoLTJ0+rSduIiIgo7+T69dnnZ6KWXy3da46ODnj5f7Nx9co13L1zF888+7Sqe+/du89NTkSF0vM3MjISNw/dRdiheDj52KPRWD9cu3Fd9fqV2Jz8sOcv5UaW/cVjomOQkpqS6YElFWV4WJj6f9myPoiJic3VhxMREZU0YWHhamil9KRRJzdf4+LiVEBYhohITEyEg4NDoeSTiIiouNW/DpnUv9rr27CwMDUUhIzBH5vFWP1ERPk95m/EtViE7Y9DKV9XlGpnh5OnT3LIB8rfHsBy8VnaszS+WPKlQQ+khIQELFn0Ofxq+6m/T58+g0aNGponN0RERMVc7dp+WLLoMxXc1ZJ6dsmnn8HHxxuurq64fOmymoSGwV8iIiIz1b91/PDtV9+qMX/1rf59De7dv4+q1aqpSVoDAwJRvUZ1bnYiKvAxf5MeaBB+IB6OXnYq+Dtw+AAO+UD53wPYysoKb7z1Op6eNhOrf1+Nuv51kZScjFMnT6mL1pWrflEXrDKRzYyZM8yXIyIiomJs9iuzMXrEGLRv3RENGzWEna0tzp+/oO76f/bVErXMxg2b8NKcFws7q0RERMXGtBlPYcjAYWjToh2aNW8KFxdXXLt6DZcuXsIrr/8PpUq54/ff/sCsF59Tve2IiAoq+BsQEIDwa9GIOJAIn+pl0GxyXZw6kxZ70x+SlSgvsp0ysHef3ti6czOW/fSzqhzt7O0xZtxoTJg4Xo3/KxZ++F6eMkBERFSS1K9fDzv3bseP3/+EC+cvqidrevbqgfETx6FS5UpqmZnPPVPY2SQiIipWfMr6qIlXf/5puZrDJioqCi1aNscHHy9E/Qb11TLDRgwt7GwSUQkc9iHscjTCD8bDzsMGzSbWxY1bN9SNKGdn58LOIpWEAHBoaCimPvYkVq35Da/OfaVgc0VERFRMDRkwDD8s+x6zXniusLNCRERUYsyc8SwenzoFjz85pbCzQkSkG/Yh4XYqIg4lwL60DR6UuYETZ5zg4OCI9h3acbI3KpgAsExQc/7cBfN+GhERUQkXGBioZveVR02JiIioYISHRyA4OISbm4iKhNjYWISfj0H40Xj41iuHRmP9cOyEE7p064KyZcsy+EsFNwmcdDWvUbM69u87YP5PJSIiKqFat2mFbVu2FXY2iIiIShTWv0RUVHr+SmeQ85uvquCvS0UHNB5XG9dvXlcdMRn8pQLvARwfF48mTZvg8UlPYMSo4ahRs4bBHQgnJ0cMHDww3zJGRERUHNWpWwfvzJuPs2fOokHDBnBwcDB4f/DQQRleIyIiorypVq0qFn28GA8fBqBV65ZwdXU1eL9bj67w9vbmZiaifB/zN/RkNCJPJ8Crtgecm1vjxKkTasxfDvtAhRIAjoqOwopfVqr/L//5lwzvS+XIADAREZFpvv3qO1hZW+GvP9epn/R69e7JADAREZGZLf1xGVJSU7Br5y71k16tWjUZACaifJOckozDuw8i5lySCv66VXOCS3NrDBjSH4mJieopfP1Ol0TmluXRJQHey9cvmv0DiYiISrKDx/YXdhaIiIhKnF9+W17YWSCiEiwuJg7BB6MQcyUJdTvVRK3+vjh27LgK/rq7c24QKsQxgNOTcUqCgoLyNzdEREQlSGpqKgIDg9RvIiIiKjghISEq8EJElJ8klhYWGobTf1xSwV9Pfxf4DaiEK1euqmEfpOcvUZEIAK9dvRa9uvVG7ep18UiPvuoideqUJ1WFSURERKbbt2cfhg0ajjo1/NGySSuEh4fjzdfn4dTJU9ycRERE+eT8uQt4bMIU+Neqj2YNW6h697tvvsf6df9wmxNRvoz5+8fKNVj24h+4fzoQNbr6wr2ZA44ePYa4uDiO+UtFJwD82aLP8Norc9GjZw+8+/6CtBWsrdG8eXN8+/V3BZVHIiKiYmPTxs2YNOEx1PWvi08WfwQ3t7RJaDp37awmpyEiIiLzO3f2PIYMGAonZ2cseH8+atfxU6/37N0THy78kJuciMze83fXlj0I3BqFhIAUuDSwRYpvHAYM6o9+A/qqiZ/LVyjPrU6FHwBOSUnBl198jR+Xfo8XZj+PTl066d5r2boFdmzbUVB5JCIiKja+WPIl3pg3F2/Nn4c+/frA1tZOvd6yVQvs2bNXNRaJiIjIvL7/9geMGTcaS75YhIGDBsDNzU29XqmSLxISEnD92nVuciLKM2nLR0ZG4sH1h3iwIQIJocnoP7s7/Lv6ISkpSTfmLyd8oyIzCVxkRCSSk5LRrEWzDO95enqq94mIiMg09+7dQ4eO7TO87uTkBGsra/U4mPailIiIiMzj3t17qtddZjzk+jYyipuaiPI85MPePfsQGxSPkF2xSEnQoHJvL9iUTcWNHdfh6uHCMX+p6PUAdnN3g0ajwcULFzO8d+nSZfhW8s3vvBERERU7Pj4+OH78RIbXb9+6DUdHRwZ/iYiI8qP+LeuNE5nUv/HxCbh9+zZ8K1XkdieiPPX8leBvSpAVQrfHA6lWcG1rDXim4Mjho4hPSOCYv1Q0ewBLd/Q+fR/B1ClP4bW5r6KWX031+sMHD/Hhwo8wbsLYgswnERFRsdB/YD+8/spc9bhpr1491WvRUdGYN/ctDBw8oLCzR0REVCz1H9gf056YrnrfDRk2RL2WmJCId+e/h0aNGsLLy6uws0hEFiw2NhZh52MQcSweZXw90HRCXZy/dg49enVX8bXAeyEc85eK7iRwr7/5mhruYcqkx9G5fVeEBIegTYt2qFu3Dh4dM6rgcklERFRMTHniMbRv3w4vzZqNRvWaICwsDF06dEN4eDhefPmFws4eERFRsdSjZ3c89sRkvDd/IVo2aYVjR49j/JiJ2LV9J9794N3Czh4RWXDPX2nHH/z5JCKOxsOlogNaPdUAd4PuwM7OTo33q8b8tcmy/yVRgcj2CPTw9MDqv35X3djPnzsPa2trNG/RHE2bNSmY3BERERUz0gPgs6+WYMrxkzh25CgSk5LgX88fHTt1UPUsERER5Y+X/zcbw0YMw749+xAdFYVq1auhW49ucHBw4CYnolyN+bt7+14E7opE/P1k+Db3gU2dZJw6c0oFf9t3aMfJ3qjIyPEWhFyMykWp/BAREZF5NGnaWP0QERFRwalZs4b6ISLKa8/fnRt3I2hnDBJCk+HTphRsaiZjwKD+SExMVMPNSMcPoqKCRyMREREREREREZGRrh69gft/R8BKY4VBr/QCyiSpyd4k+CtDPhBZVAA44GEAFr77AU4cO47IqCiD97y8ymDj1g35nT8iIqJiJSYmBh9/8An27N6D0NAwaDQag/e37tishmAiIiIi80lJScFXX3yNf/7egMDAQKSmphq8/+0P36Bxk0bc5ESUba9factf2HQNe5cdhY2zFSr18lLB30sXL6thH6TnL5HFBYBnzngOwcHBGDhkIFxdXQ3e40FNRERkuoUL3sc/6zdg2Iihmc447ujkxM1KRERkZsuXLcfni7/A8JHDUNG3IqysrAzeL1++HLc5EWU/3u+2PQjcG4X4u8mo2KAs2j7WBEeOH1E9fznmL1lsADg+PgFHjxzFwWP7M71AJSIiItPt3rkbiz9fhNZtWnHzERERFZDdO/dgzqsvY8y40dzmRGRyz9/t63YheHcMEiOS4d3CHbZ1kuBbraL6iY2N5Zi/VORlOd24tbUVnF2cGfwlIiIyI1s7O9XziIiIiAqOrZ0t618iMinoGxkZqX6f3nYBD/6JgCYRGPZmH7Qb3Vy9LoFfmehNxvzlhG9ksT2A7e3tUatWLdULuHmL5gWbKyIiomJK6lTpBcweSERERAVf/3bu0ombnYhyHO5h7559SIhJROTJRMRcS4B9GRs13m+yWzzH+6ViNgREXDwaNKyPxyY+jrHjxqBS5UoG7zs5OWLg4IEFkUciIqJio2atGnhz7jxcvnQZfrX9YGNjY/D+4KGD4ODgUGj5IyIiKo58fSuqSVjDQsPQtFkT2NnbG7zfrUdXeHt7F1r+iKhokJ69EvxNDbNG+N4kxIUlwN3fEb2e6owjRzjeLxXDAHBUdBR+Wb5C/f+br7/N8L5UjgwAExERmeabL9Pq1BW/rMz0/V69ezIATEREZGZLf1yGpOQkrF//j/pJr1atmgwAExEiw6MQfDgK0ZcS4e7liqbTm+Bm6DWU9vJUHTU43i8VuwCwBHgvX79YsLkhIiIq5mRyVSIiIipYv/y2nJuciDKlHc83JiAOGz7ehehbiSjl54z2E5vi+q3rsLOz003yJuP9EhWrAHBmJ0RYWBjvihIREZlJamoqgoND4OVVBtbWWc7LSkRERGYWEhICNzc3NfcNEZXs8X53b9+LsNPRiLqQCAdne3R8qjlux9zAyTMnVfC3fYd2nOSNin8AeO3qtfjisy9x9co1eJb2xOHjB/HUE9Mw/713UKZMmVxd7Eow2ZSKNjExEXFx8ShVKuOdlpiYGCQnpxi8Zm9vBycnJ5PzRkREVBD27dmHjz/8BKdPnVF13PEzR7H4kyUYNGQgGjVuZHJ6Go0GCQmJcHQ0fuxgqYtjYmLh6uqSYRziuLg4JCYmGbxma2sDFxcXk/NGRERUVJw/dwEfLvwQB/YfVL39Vq35VdXF5cqVQ9/+fQo7e0RUwJKSkrBx6XaEH49DckwK3Ko5oVRzRzTr3QjN0IjDPVCxkm13o88WfYbXXpmLHj174N33F6StYG2N5s2b49uvvzPpg6SCnfXM86hT0x/+tepjyIBhuHrlarbrXLp4Ca/OeQ3NGjZHI//GKtib3qhhj6Jl01Zo37qD7uedefNNyhsREVFB2bRxMyZNeAx1/evik8Ufwc3NVb3euWtnLPp4scmB3/cWLETDuo1Qz68+unbsjv179+fYy+GD9z5E25btVd166uTpDMu8Oud1NG/UwqBufWzC4yZ+UyIioqLj3NnzGDJgKJycnbHg/fmoXcdPvd6zd08VFCai4k06P0RGRqrfIuBaMFa+vA7Be6Lh5OaIEfP7odszbaCxTVHxK+1wD/KbqFgHgFNSUvDlF1/jx6Xf44XZz6NTl06691q2boEd23aY9EFyMXnyxEls27UVJ88dh2+lipgwdhLi4xOyXOeH736EX+1aeOOtN7JNe+Zzz+DMhVO6n7cXvGVS3oiIiArKF0u+xBvz5uKt+fPQp18f2NraqddbtmqBPXv26hqlxvj6y2/wy88rsPSXpTh/5Sz6DeiLyROm4O7de1mu8+vK39RTOIs/X5Rt2tITSr9uXfn7LyZ8SyIioqLl+29/wJhxo7Hki0UYOGiAGv5BVKrki4SEBFy/dr2ws0hE+UQ6QKz5Yy3+/ms9fl++GmsXbsSyZ1cj7E4ESrdwRsX+Hkh0isWli5d14/0SlZgAcGREJJKTktGsRbMM73l6eqr3jRUaGoo/1/yJmc/PVBWsq6srXnvjVXUSbt60Ocv1pNfx+Inj4fpv76jsxMfFG50fIiKiwnLv3j106Ng+w+sydJG1lbUafsFYP3z7I8aOG4MmTRvDwcEBz86aCfdS7li5fGWW68gyzzz3NMqW9ckxfblJK72MiYiILN29u/fQPpP6V3jI9W1kVIHniYjyn3Su2LtnH2wS7WB/2w13V4fjyq5bqN+jNqZ8Mwp9nuiO+IR4HDl8VLXDOd4vlbgAsJu7m7rou3jhYob3Ll26DN9KvkZ/iIyrJD2KW7ZsoXvN29sb1WtUx8njJ5FXn3z0KRrUbYRG9Zpg1swXEBwcnOc0iYiI8oOPjw+OHz+R4fXbt27D0dFR1yMpJ3IT9eHDh2jR6r+6VYZpatGiuXriJq/++XvDv0NLNMDEcZNw7Sp7RhERkeXyKeuNE5nUv3Kz8/bt2+oJVSIqfq6fvIWH2yNw7deHuHngPio29IFPbxe0ndgEzqWcUL5CeQweOkg9SSe/5W+iEhUAlnFO+vR9BFOnPIWtm7chLjZWvf7wwUN8uPAjDBw80OgPCQkOUb89S5c2eL2MVxk1+2pedOnWBes3rsPlGxexavWvatzgJyY/qQLOWYmLjUNoSKjuJzwsPE95ICIiMlb/gf3w+itz8duvqxARHqFei46Kxry5b2Hg4AFGp6OtP0uX9sxQtwb/W+/mVr36/ljx23JcuHoO23dvhY21DcaMHIuIHJ7+Yf1KRERFVf+B/dUwTF9+/hUCA4PUa4kJiXh3/nto1KghvLy8CjuLRGSGsX1FYlwSLu65huXPr8Wfc7ciISAFpRu4oserbeDWwg7OPo4GwzxwvF8qCbIdzfr1N1/DxHGTMWXS47CyslKvtWnRDoMGD8SjY0aZ/GEaTarB3ynJybp0c2vWC8/p/u9X2w/vvPs2BvUbjDOnz6Jxk8xnUt/492asXbUuw+t3rj9AZEjGieYsQWpKKm5evgNLZcn5t+S8W3r+LTnvlp5/S867qOpXqdA+e8oTj+HMqTN4adZsvITZ6rUuHbqpYRw+WfKxyemlphoO0ZBshrp18pRJuv+XK18OHy/+CM0atsCmDRsxYtSILNcrbvWrpR/nlpx/S867peffkvMumP+SWbcao0fP7njsicl4b/5CvPvOe6quHD9mIipXroRlK5cVdvaIKBfkiTgZ3iExMRGItUY5h4oIvhyBu+ceIDU5Fa5lXNBpcmuUbeSJw8cO49yVs2qMXw7zQCVRtgFgD08PrP7rd3VCnT93Xj1a2rxFczRt1sSkDylXrqz6HRwUjEqVKxn0DG7WPOMYw3lRo2Z19fvO7TtZBoB79+uJTt066P6WHsBvzpmPStXLo3QZw17KlkIa6kW90VVc82/Jebf0/Fty3i09/5ac98ImPQw++2oJphw/iWNHjiIxKQn+9fzRsVMHVc8aq6xe3Zq+Z3DZcjmP72sKmQHZ29sLd27fzXa54la/Wvpxbsn5t+S8W3r+LTnvgvmn7Lz8v9kYNmIY9u3Zh+ioKFSrXg3denRT4+gTkWWRTg/b1uxC3M1kJDxIQVxYPO4jAh7l3dH4EX9Ua14JVRpXhI2tjVq+YtUKiI2NVT1/pT1OVNLkeNTLxahclMpPbjVs3BD2DvbYt3c/Ro0eqV67c+cubty4ieYtm+uWi46Oho2NjZoIJ7ekV5WoULFClss4OTupHyIiosIiPX7lJ7dkLP2qVatg39596N6zm3otKSkJBw8cwhNTp+iWk8ksUlNT4eLikuvPCgwIREBAYLZ1q2D9SkRERV3NmjXUDxFZNgnmxoUkIPJKIqo0rAjXyo4ITLqPQWP6qs4L6WmHeSAqqYzvapQHMqHN+Anj8OH7H+HA/oO4euWqevS1Tt066Nqti2654YNH4tU5r+v+jo+LV+MNascfjoqMUn9rx3Y5dvQ4nn/2RRw7cgwBDwOwfet2zH5xDlq1aWVyL2UiIiJLM+2Zafhl+Qr8/dd63Lp5C/+b/QqsrawxSm+Ypjkv/Q+jhj2q+1sekZO6NDombUiG2JgY9XdCQoL6W8ZQGzd6Avbu3qvG/T965CieeOxJNSGGjF9MRERERFTYpCevew1n1BpXDo3G1kKyTxycShuO7UtE/ymwfu8vvzJb9ex9+cU5qjdSq9Yt8cnij1SPXy1XVxc4OTnq/v74w0/Uha1wc3dDj6691P+XfLEYnTp3VEHe+/fuY+F7H+DmjZsoW9YHI0YOx+NTp+R5/EMiIqKiTuo8mcBm0SeLERoSgrr1/LFi1XKUKVNGt4yTkzNcXFx1f69d8yfeeuNtXd361NTp6v/PzpqJxx6frHpGTH96Gr7+4mucP3dBDQfVuk0rPP3sDLi6/pcOEREREVFhkR69Hbu0V0OWHjl8lGP7EhWVALCcnM+/NEv9ZGXVmt8M/p7z6svqJysS5JXeSOyRREREJdXY8WPUT1YWLHwnQ9BYfrIjAV/5ISIiIiIqquQJtcFDB3FsXyIjcORrIiIiIiIiIiKyOBzbl6gIjQFMRERERERERERERAWPAWAiIiIiIiIiE1y9eg1zXnpFTZz62v9ex53bd4xe9/Chwxg57FF88N6H3OZERFQgGAAmIiIiIiIiMtKN6zcwuN9gJCYmYsy40QgJDsGgfkPw8MHDHNcNCw3D88++qJa9dOkytzkRERUIBoCJiIiIiIiIjLT4089QrXo1fPDxQvR+pBcWf7EIrm6u+OqLr3Nc98XnZ2PkqBHwq+3H7U1ERAWGAWAiIiIiIiIiI+3ZvQfde3SHlZWV+tvGxgbdunfFnt17s13vh+9+RER4OJ6a8SS3NRERFSjbgv04IiIiIiIiIsskwz4EBQahXPmyBq+XK18O9+7ey3K9c2fP47NFn2Ht+rUqYGysuNg4xMXF6f4ODwvPZc6JiKgkYwCYiIiIiIiIyAhJSUnqt4Ojo8HrTo6OuvfSi4mJwdNPPY1X574CX9+KJm3njX9vxtpV6zK8fmDXYdTyq4V9e/ejS9fOOHH8BHx9fWFrZ4srl6+iZasW2LtnL5o0bYKwsHDV87he/XrYvGkLevbqocYftre3R8WKFbBv7z506doFJ06cRMWKFWFvZ4fLly+jZauW2Lt3H5o0aawCz2Hh4aivl8blS5dhZ2+nPld6P3ft9m8aFSrA3sFefUarVi1V+o0ljfBwhIaEqfzr0rh8BXa2tvCtZJhGhQoV4CBpXLyMVq3T0mjUuDEiIiIQFhqK+g3qqzR69OyOK1euwtbWFpVUGnvQtVtXnDxxEuUrlIejgyMuXLyI1q1bqW3VqHFDREZGIiQkFA0kjc1b0KNHd1y9chU2tjaoXLkydu/anZbGyVMoX64cHJ0cceH8RbRuI2nsQ3R0o7Q0gkPRoGF9bNm8Fd17dFMTA9pYW6NylcrYtWs3uv2bRrly5eCkl8b+ffvRoGEDREVFIyQ4WP1f0pBe5NeuXYe1tTWqSBo7d6vXTp08hbLlysLZyRnnz59H6zatsX/fAfXZ0VHRCAoORkNJY8tW9ZnXr9+AdE6vUqUKdu3chW7du+HUydPw9vZGZEQkzp0/jzaSxv4DqF+/PmJiohEUGIyGjRpg65Ztah+oNABUrVYVO3bsRHdJ49Rp+Pj4wMXFWd3QaNO2NQ7sP6COKznG5cZIw0YNVRpyTN68cVPta5XG9p1qG50+dRrePt5wcXHBubPn0KZtGxzYfxD16vsjJiYWgYGBaCRpbN2GLl3S0tAAqF69GrZt3Y4e6I7Tp87A28cLLi6uOHv2LNpKGgcOop6/P2JjYxEQEKj287at29CpcyfcunULGs2/aWzbrvb36dNn4O3lpYZuOXP6LNq2a4ODBw7CX9KIi0XAwwA0atxIfWanzh1x69ZtpKamokaN6mn56NkdZ06fQRkvL7ipNM6gbbu2OHjgEOr610FcXDwePnyIxpLGtu3o1Kkjbt28pY7VmjVrqG2UlsZZlPEqDXd3d7V92+mlER8Xjwf/prF923Z07NQRt2/fRkpyCmrWqqn2d8+ePXDmzFmUKfNvGidPo137tjh48BDq1qmD+IR4PLj/QJ1/kkaHjh1w585dJCcno5aksXmrOg/PnjkLz9KlUapUKZw6eRLt2rfDoYOHUbuOHxISEnH/XtrNre3bdqBDx/a4e+cukpKT4edXS3cup6XhCQ8PD3X+qTQOHUbt2n5ITEjEvfv3VVmiS+PuXSQlJqnhcHRpnD0HTw8PeHh6qHKgfft2atJMPz8/JCYl4d69eyqNHdt3qPTv3buvbsrV1ktDjqtSHh7wlDSOn0D7Du3VdwkLC0NyUrL6XCkX5ZiUbXX/3n0kZJpGKXh6lsbx48fRoUN7HD58RG0zSePO3bto2rQJdu7Yqfb7/fv31XYySOPceZRyd0fpMqVx7Ohx9Z2PHD6CGjVrICUlRe2HtDR2qXPpwYOHSIiPR+06tXVpnD93Hn0G9zJb3Wyl0cipULKFhoTiuSdfwsdfLlQ7xxLdvHwHVf0qwVJZcv4tOe+Wnn9Lzrul59+S804Fx9LrV0s/zi05/5acd0vPvyXnXTD/lN/k8rl29bp45fX/YcKk8brXF328GD/9sBTHTh/JsM72rdsxdcpTaNq8qe61yxfTJoDzq+OHTxd/rHoQG9sD+M0581m3FhJLLmMsOe+C+ee2L6nHjrmwBzARERERERGREWTcX+mdJ73d9EnPRv/6/pmuI73Nlv7yk8FrHy78UP1+dtZM1WMuK07OTuqHiIgoLzgJHBEREREREZGRho0Yho3/bFSP/GuDv7t378HwkcN0y6z+fQ0mjJ2k/i+PRcsjvvo/8ri1/Mj/ZYgBIiKi/MQewERERERERERGGjNutBqbsW+vfqhWrRquX7+O8RPGYcDA/rplZEK4I4cyDgdBRERUGBgAJiIiIiIiIjKSTNK1YOF8zHzuGTUJUaXKleDj422wzOBhg9GqTcss03jhpVnc3kREVGAYACYiIiIiIiIykUzcltXkbb6+FdVPVmSmdyIiooLCMYCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIopBoCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIopBoCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIopBoCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIopBoCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIopBoCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIopBoCJiIiIiIiIiIiIiikGgImIiIiIiIiIiIiKKQaAiYiIiIiIiIiIiIop24L8sH179mHdX38jNjYWrdu0xshHR8DGxibbdU6eOIVfV/yG4OBgLP58ERwdHcySLhERUXFw4fyFf+vJEPjXq4sJk8bDxcUl23VuXL+BFctX4saNm5jzymxUr1HdLOkSERERERFRCe4B/Ptvf2DiuMkoW64sWrRojiWfLsFzz8zKdp3pTz6N1195HUlJidiyaQtSUpLNki4REVFxcOzIMQzsNxhJSUno0LEd/vl7A0YNexSJiYlZrvPpx4swefxjSE5OVnVreHiEWdIlIiIiIiKiEtwDWC4yF7z9LqY/Mw3PzpqpXqtbry6GDRqByVMmo3GTRpmu97/XXkbFihWxaeNmFeg1V7pERETFwbvz30P37t3wzrtvq7+79eiGti3aY+3qtRgxakSm6wwfMQzPPPs0bt28he+//cFs6RIREREREVEJ7gF8+tQZhISE4JE+vXWvNW/RXPXa3bljZ5brSfA3P9IlIiKydNHR0Th65Bh69/2vDvTy8kKr1i2xc/uuLNerULECrKyszJ4uERERERERleAewHfu3FG/y1cob/B6ufLlcOf23QJPNy42DnFxcbq/w8PCc50HIiKiwnD3zl1oNBpUSFcHSp0o4/cWRrqsX4mIiIiIiEpoADgxIW3MQCcnJ4PXXZydkZCQUODpbvx7M9auWpfh9TvXHyAyJAaWKDUlFTcvpwXELZEl59+S827p+bfkvFt6/i0576KqXyVYOu14vI7p6kBnFxck/Fs/FnS6xa1+tfTj3JLzb8l5t/T8W3LeBfNfeIpD3UpERFRcFUgA2M3dTf2OiIhQj5FqhYWFo1r1agWebu9+PdGpWweDHsBvzpmPStXLo3SZ0rBE0lC35EaXJeffkvNu6fm35Lxbev4tOe/FhZtbWh0YmW4St/CwMJQq5V4o6Ra3+tXSj3NLzr8l593S82/JeRfMPxEREVEhjQHs719X/dZ/dFSGYLh54ybq1K1T4Ok6OTupC1Htj4enR67zQEREVBgqV6kMV1dXnE83LMP5cxfyVLfmJV3Wr1QSaVI1SE5KQWJsoup9SkRERERUInsAy8Vks+bN8O3X36Ntu7awsbHB0h+Xqfd69+mlW27e3LdQqXIlTHpsolnTJSpuUpJTEBMWh5jQWESHxiA6NFb9Py4yHgmxiUiITkz7HZOA+H///8R3j8K5lOEj3URkuaTO6z+wP1YsX4mRj45QPXd3bN+Jy5cuY8HC+brlvvvmezx88BCvvP4/s6ZLVNxI8Fbq0+iQf+vVsFjERsQhLiJe1a/x0VKnJiAxNgmJcUlIik9CckIyUpL/C/qO/mAgKtYtV6jfg4iIiIioUALA4oOPF2LC2Eno0qEbPEt74urlq3j/o4Xw9vbWLXNg/0FERETq/paLz+3bdiAwMFD9/cy0mbC2scHTM6ejYaOGRqdLZGlkAqbokFhEPIxE+INIhD/87yfiYRRiw/+bxFCfnZMdHF3s4eDiAAcXe7j7uMG7mvxtDytrqwL/HkSUv15+ZTYmjZus6sBq1arizOmzeHH282jWvKlumTOnz+Da1Wu6v3ft3I2fly5HXGys+vvd+e+hVKlSGDpsMHr36W10ukSWWLdKIDf0XgTC70fo6teIgChEBkargK/05k3PzsEWju6OcHR1gKOrPVw9nVV9a+9kB1t7W9ja28Da1ho2tjZw83ItlO9GRERERFQkAsAyJu+2XVtw8sRJxMXFo1GjhijlUcpgmdfeeBXu/47rKxo3aZTpmIEyE7kp6RIV5YvRqKBohNwOQ/DtMIPf0rtIn4unMzzKu6NqE1+4ebvA1dMFLqWd4VraWf2W9+UilYhKDhmT948/V6kgb0hIKOrWrYNy5Q17Hz72+GTExKQFe0X1GtUxbMRQ9f9xE8fpXvfzq2VSukRFuW6Vp2SCb4Ui+Gaorl4NvRuuevDqk7qzVFk3+NYrB3dvV7h5u6p61bWMi3rPuZQj7BztCu27EBERERGZQ4FGi+zs7NCiZYss32/bro3B33X966qfvKZLVFQeLZVeR4HXghEgP1eDEXg9GAkxibplpKdumcqeqNOxBkpX8oRneXeUKic/brDnBSgRZcLKykr3VExmGjRsYPB3pUq+6iev6RIVBdJjV3ryPrwalFa/Xg9B0PVgxEbE65axd7ZHmUoeqNm6CkpX9ICnrwc8K5SCRzk3BneJiIiIqERgd0EiM0hOTkZsbCycnZ1ha2ureh/J46T3LwbgwaVA9RN0IwRJCclqeWsbaxXordW2GryrloZXldLwquypevJK0IWIiKikS1+3iqjgGDy4FIAHl4Pw8HIgHl4NVpOvCRnqqLSvB6o09oV3tTJp9WvV0nDzcmHdSkREREQlGgPARHkUGBSIQ0cOIjYgHsmhGrimlkLorQjdOL0yLqBP9TKo180PPjW8ULaGl7ogtbWz4bYnIiLKom49fPQgYgPjkRwGuGk8EHYrQgWAtcHeMpU8UbtdNZSt6Y2yNb1UwJfDNRARERERZcQAMFEuyKzg984H4M7Z+zix4wxSo2SMh7T3olwSUKNJFTULePnaPirgK5PEEBERUdakJ++9CwG4feYejm49BU0koElJey/SKQ5VG1ZGk/71UUHq1preahI2IiIissyneoQ8OauGcroSpH4Crgah2cAGqNWmWqHml6g4YlSKyAgyM/idsw9w5/R93DlzHyF3wnU9kOCiQY32lVGvfR0k2sfizKUz6DKgNdzd3bltiYiIsiATst099wB3zjzA3bMP1Pj4Mqavql9dNKja2hf+bWoj0TEO566eRfeBbVm3EhERWZgH9x9g7559SEpKgq2NLWr51Ebk7ThdwFc7J45cW8vTPCnJ//asIiKzYgCYKBMx4XEq0Js+4GtjZ4OKdcvCr311+NYrD58apfHTjz/DvqoG1t4puHXxlpqUUO5sEhER0X8SYhNVoPe21K2n7yPgejCgSbvgK1fTG80HN4RvvXIo5+eNZcuWw7GqFewqAtcv3oG9vT3rViIiIgvs+bt7+16kBANWoU64cyYQtxIP/DuUk0zQWhXlanmrHxm/386BISqi/MKzi0guSmMSVA/f26fu4dap+wi+GZp2gtjboEKdsqjTsSYqNSyP8n4+GYZzaNasGW7dvYEjh4+q4G/7Du0MHmshIiIqiWTi03vnH+L26Xu4feq+6ukjPXxVwNfPG62GNUalBhVQ0b9chuEcWLcSERFZrsT4JFzedwPndl7C7ZOharhEqevL1/NGrFMUBj7WB97lvAo7m0QlCqNUVCIlJyanjTN48h5unbyHh1fTLkplwjYZW7Dt6Gao3LACytcpm+NkbT7ePmjaqlGmYxoRERGVFKkpqSrIK/Wq3FCVejYlKQWwAspW91I9fKVu9ZWAr7N9tmmxbiUiIrKssX1tbGwQcDUYpzdfxIWdV9XY/i6lneFW0wEeNd3QuEt9XL16FXZxzvD08ijsrBOVOIxUUYm5KA28HqIuSm+dvKt6JCUn/ntRWsMLLeSitFFFVKxXDvaOpk8qI0FfjvlLREQliUzcEno3/N+69Z4aMkk7jl9pXw807FVH1a2VG1SAo5uDyemzbiUiIir6Y/tK3Z9wJxWaBzYIuxMJG1tr1GpbDQ161kGVRhXx8OFDtdzx48f5xCxRIWIAmIrlbKIi7EFE2kXpiXvq8dP4qAT1umeFUqjfvTYqN66oeiI5uTkWUu6JiIgsq36NDo1VvXtvnrir6tjokBj1umsZZ9RoVQVVm/iicsOKcPNyKcTcExERUX63E7b/vRuxl5MQeTUOqUmpsCtlg06PtUL9brXhXMpJt2z5CuUxeOggPjFLVMgYAKZiMZuojL3bvHFzJASm4Na/F6URAVFqOWcPJ1RrVkndfazSuCLcfdwKO+tEREQWUb/awBbVvWoh6nasqluDb6WNkS/j+Mn4vTKOr9StpSt5wMrKqrCzTkRERPn89I9M5npw1XHcPxGuxvWv26kmvBq642rAZdTpXh3O7v8Ff7X4VA9R4WMAmCx3NtEde6EJt4ZTnAfunHmA35duUu/JzKG+DcqjSf/66qLUu0ppVTERERFR9hITErF19U4kBwGaUCuE3AzF7dRDsLaxUpOith3TDFUb+6pJ3Gxssx8jn4iIiIrHE0EOdg64su8mjq49jaAboXBwtUep+k7wbuwBv2aVcOniZdjb26snh4ioaGIAmCxuchl59PTasdu4fyFtNlEJ7npUcoN9WSt0HtIeNZtVz3HiNiIiIkrryRN8K0zVrWrytjP3kBSXrDaNV5XSqNGhEsI1wRg4qS/K+JThJiMiIipBTwTt3r4XEZdiEH0xCSmxqWo4xe7T2qNeNz+EhAarJ4aOHD7KsX2JLAADwFSkL0pDbofh1ql7uK0uSh+omUSFZ8VScKvliFJVXdCwkz9u3LqBuDg71GxeDbbskURERJQlGSJJBXtPpwV9Y8Pj1Osybm+tNtUQmPgAntXcUK9pXdWjxy3OGaVKl+IWJSIiKiGiw2Pw92dbEHUxASnxqXD0sUOZli4YPXMo7OzTJk3n2L5EloUBYCpSAd/wB5GqF5KMKyTDOsSExar3XMvIRWlVNZt4lUYV4Oblqhuj8NSZU7zjSERElIXo0Ji0evX0fdw6dR8RDyPV645uDmoyVFW3Nq6oevXIOL7a+pU9eoiIiErWxK8JUYk4uvYMTqw/q54I8q7liS6T2iHBMQZHjxxDXHycLgAsOLYvkeVgAJgKNeArvZDunnmA83uvYOPNXYgKTptN3MndEZUalFcziauL0oppF6X6eMeRiIgoo5jwONw9cx/n9lzGtlv7EXo3/L8x8uuXR+M+dVX96lO9DKxtrDOsz/qViIioZNDe9I2PSEDMpWTEXktESlIqarSqgtgyYfCo5IJEp1hcvnhFdbriGL9ElosBYCrwHr7Ss/fO2bQevlFB0eo9O0dbVGlUEc0HN1Q9kYyduI13HImIqKSLDo3F3X/r1TtnH6jhk4S1nTV8/cuhbueaqm4tX8sbNkaOkc/6lYiIqPj3/N25Ybca3zfyUixSUzVwqWKPIc/3Q7nq3nwiiKiYYQCY8o0mVYOgW6G4d+4h7p57gLvnHiI6JK2Hr4OLPXzrlUezAfVRqUEFxKXEoVqdytwbREREOT098zBKV6/ePfsAYfcj1Hu29jaoUKcs6nSooZ6iSbRORI16Vbk9iYiIyED4w0jsWX4Yd3eGwwpW8O9SC+VaeuLizQtw9nJQy/CJIKLihQFgytMYQdJDSCspIRkBV4P+Dfg+xL0LD5EQk6gb0qGifzlUGtJQBXy9q5Y2eOz05uU73BNERFRiZVW3pqakIuhGCO6dD8Dd8w9w77zcTE0bH9/OyQ4V65ZVM3FXql8e5Wr7wFavhy/rViIiItK2MZJTkhH2IAIHfz2Bc9suQ0ZYdK3ugLLNPVGrla+a+DX9MA98Ioio+GAAmHI1RlBSUhKsEq1RrUwNxAYk4P6FQARcD0ZqcqparlRZNzVukPTylcdPS1fyyDCGLxERERnWrdYpNqhZzg/xgUnqRuqDS4FIik9Wm8nZw0ndTJV6VcbyzWoMXyIiyn8njp/EV198hbt37qFK1SqY8cw01PWvm+XyEeERWPbTzzh44CASExPRsFFDPPHUE/Dx8ebuonxvY8SFxiPkeAxSHlqpoRYb9qqDViOaIDY5mhO/EpUQDACTURJiE3H/4kNsW7MLyWEaJIelIi48AXdxDNa21ihbwwtN+tZTPZEq1C0HNy8XblkiIqJsJCel4OGVQGxatRXJYUBKuAYxQZG4g0OAFeBV2RN1O9VExbrlVODXo4I7b6YSERUBF85fwKjhj2Lc+LGYPGUS1vzxJ0YMGYm/N65TweDMjB8zAR07dcST06bCxtYWSz5dgiEDhmL9xnUo5VGqwL8DlYyevzvW70b0uUREXI1VbQu3mvYY8dIglC7voZYpBTcMHjoo06eQiKh44dlNGSTGJ6nHTQOuBSPgShAeXA5CyJ0wQJP2vpOHA3zrloe9lw0C4h5g4Li+KO1VmluSiIgoCynJKQi5Ha6GSnp4Je0n8EaI7skZO2dbVbc6NLVFUEIA+o99BN7lvbg9iYiKoCWLPkfDhg3w6txX1N8tWrbA0SNH8dUXX2P+e+9kus5vq3+Fg0Pa2KqifoN6aFyvKbZv26ECcETmHEpKJoTd/fMh3NsfDmtrK9VZK9UnEcFxAbB1MXx6iMM8EJUMDACXcHFR8Qi6EYpACfb++xN6N1xN4KadrK2cnw9qta4Kn5plcPzyMbiVcUHtOtXVGEGucU5w93Av7K9BRERUZCTJjdSboSrAG3A1GIHXg1Vdm5KUot63dbBVwzc07uOPsjW9cPr6Sbj5uKBO3VqqbnWLc4Knd1rPHCIiKnoO7j+IyY9P0v0tQ9116doZWzdvzXId/eCvsLGxgbW1NVJT024EEpljKClNtBXsHrrg1tH7sLG1gZufI8o290CV5mWxd8d+uHq4GIzxS0QlBwPAJYRcdMos4XIBGnQzJC3oeyME0SExumVkojafGl6o2aqKGtLBp6YXPMq6qzGCtNyrOXOMICIion8naIsIiELwLalbQxH8b9BX6lvtUzN2jrbwrlZGjbUnwd6yNb3V0A76Y/eWqevOupWIyEIkJCQgJCQEPj4+Bq/LWL737z8wOp0ln36mgsIdO3fIdrm42DjExcXp/g4PC89Frqk49/yV4K9VrA00V6xx/1QQrGwi0LR/PbQa3gRR8ZG6NkZ8QgJ6d+jJYR6ISigGgIuZpIRkhN2LUI98yLANwfL7dhjCH0SqC1XFCvCsUAoV6pSFd7XS8K5aBmVrlIGbt2uOYwuWr1CeYwQREVGJG75B6lF5QibkTriqV6V+lb+TE9ImaBOuZVzgU60M/NpVg091L/V/j/LuOU7UxrqViMhypKSkPc1hb29n8Lq9g70KxhnjzzV/quEiFn32Kby9s58EbuPfm7F21boMr9+5/gCRep15LIVck968fAeWqqjl/96lB7j9TxBSg61hY2+Dcs3KIMwpAGVblEFwcKhapknDZoiPi4eDvQMSopOLVP4teduXpPxbct4tPf9V/SqZLS0GgC00yBsZEIWwBxEq2Cs9jR5cDcTGsF2ICjZsBLj7uKJMZU9Ub1EZZSp5qoCv9DyyczRssJiCYwQREVFxDPJGBkWrQG/4/UhVt96/8hBbw/ch/GGkbmgk4ezhhDKVPFC/ux+8KpeGV1VPeFUpDSc3x1x/PutWIiLL4OTkBAdHB4Sl64krf3uW9sxx/fXr/sGLs2Zjwfvz0bd/nxyX792vJzp162DQA/jNOfNRqXp5lC5jefOwSBDGnAGNkpR//XF+Ay4H48Cvx3Hj6B1Y2VqjTGM3tBzaCDfv3oRjXFnUaVgrQ09fbvvCZcnb35LzXhzyby4MABcxGo0GCdGJiAqJVsHcqKBoRARGIeJhlO53bPh/jwAJOyc7uJR2QoW6ZVXPXs+KHirIW9rXA/ZOuQ/0EhERFadxeaNDYhEZFIWooBhEBEWpm6kRAdGICIhUda5+kNfa1lrVrT5VvVCjVRUV8JV6VX6cSzkV6nchIqLCI09M1q9fHydPnAQwQff6saPH0aBB/WzX3bB+A557Zhbemv8mRowcbtTnOTk7qR8q2WSc3z279yLmXjyizyci/mGymq+n7ehmqNjSG0eOH8Hp86dhZ2eH9h3acZgHIsqAAWAjZtA0R1BXHhGNj05QwduY8DjEhqX9jgmPTXstNFZdfMqYvNLD14AV4FraBaXKuqFqE1/1W348KrirgK+LpzNuXbnLOxpERFRi6lZtr924yATERcYhNiJe1aeqTg2LRXRobNrvEPmJUXVwejL2vTwpU66WD2q3d4VH+VJqyAb5cfd2xe1r91i3EhFRBqPHPopX57yGkydOoXGTRti/d7/6+eKbz3XL/PLzCvy64lf8uX6t+nvjhk2YOeM5vL1gHkaMGsGtSkaTyd02r9iBqPMJiHuYCBtHa3g0ccboF4fCpVTahG6+1SqavZ1FRMULS4ZsZtC0tbFFg1qNUNrDE8lJKUhJTFG/kxNT1KRqSfHJSIxLTPsdm4jEuKS0n9hEdaEpP3FRCYiPStDN/J2ejAvo7OEIFw9n1buoSpOKcPNyhZuXC9zKuKT938cVtnY2BXE8EBERmd2ty3dw4fxFJCcmq4uSJo0bo3TpMkhNTlX1Y1rdmqzq12SpUxOSkBSXrHrtJkj9GpuIhNgkJEjdGpOofkv9Kq9nygpwdneES2mpR11QvraP+i1j9LpL/ertCncfNz4lQ0REuTJ0+BBcu3oNI4aOhKenJyLCI/DcC8+iR8/uumVCgkNw5fJV3d8vznoJ1tbW+Pbr79WPfjB54uT/ehIT6Y9benHPNRxYeQyhd6Lg4GaPzo+1hmstB5w4dQIpVv91HONQUkSUEwaA9SQnp6jgr4zrJHdyL5y5iL/n7oBRrAB7RzvYO9vB3skejq4O6uLSp4YXnNwc4OjqqF6TYK88Ours6QwXDyf1mpV19hOvERERWbIti/bCKvK/Jse9tTuNXtfGzkY94ij1q9SZ0mvXs7w7HN0d4SR/l3JUr6m61cNJ1a3yO6eJ14iIiPLipTkvYtrTTyEoMAjlypdT15D6Ro97FI/07a37e81ff+gmkNNXxqsMdwQZPC1lb2uPCzuu4cgfpxAREIVS5dxQprULvOp5wKO+My5dvKyGepDevkRExmIAWE9cXJzq+SvB31p+tdRYgIGtQ9GsZTO4lXJVs2pKT1y5GLW1t4Wtg43qPSQBXzsHWwZyiYiIMuFSyx61qtVC2fJlERQUiJs3b6Jpi6ZwdXNRdaqqVx1sVR1r52irJiqVm6ryf3mPiIioKHJ1dVU/mSlTpoz60apZq2YB5ows8UnkXVv3IOJCLKIvJyI1XgPvamXQf3Y3+LWrjoCAANVZ7cjhoxznl4hyhQFgPXLXVu6kyR01cfnyFZTyc0GDbnU4jg4REVEuuVVzQmKZGDhXt0V8YrSqWxt2r8u6lYiIiEq80Pth+OujzYi6kgBNsgbO5e3h6u+A0U8PVPEJUb5CeQweOojj/BJRrjEArL8xbG3UjJm8s0ZERGQ+LVs1x5kzZ9lrhYiIiEqs9BPiBlwLVsM8yDi/MnF8hYbe6DqhPaKtIlSbSZ5Q1gaABcf5JaK8YAA4Hd5ZIyIiMi+fsj4Y7MdeK0RERFSyJ5tPTExEcgBg/cABDy8GqyGwGvaug2CHB3D3cVDBX47xS0T5gQHgzDaKrS3c3d3zZYMTERGVRKxbiYiIqKT2/N29fS8Sbqci+lIyYoLjYO0YjTaPNkXT/vXVRLbaADHH+CWiYhEAloLvzOmziIuNRYNGDeDm5pbndY4cPoLIiEiD18pXqAD/enXNnn8iIqKi6ML5CwgJDoFfndrw8fHO8zrnz13Ag/v3DV5zL+WOFi1bmDXfRERERMVZ+MNIHPrjOO5sCYUmCfCpXga1e1TFw5S7aDigNpzdndRyfBKZiIpNAPjWzVuYOHYSEpOS4OHhof7+4OOF6N2nd57WmTf3LcTGxqFKlcq619p1aMcAMBERFXuRkZGYMvFxXL1yDVWqVsH58+cx64XnMPWpJ/K0znfffI99e/YZ1KVVq1VlAJiIiIgoh/F9baxtcPP4HZxYfx7XjtxS7ztXsod3o1Jo3KU+Ll+6Avs4e7WsPj4tRUTFIgD8wnMvwrdyJfy47HvY2Njg8yVfYNbMF9C8ZXN4eXnlaZ2hw4dg2oynCuqrEBERFQnvzV+I4KBg7Ni7HaVKuWPblm14bOLjaNW6FRo3aZSndVq3bYVPFn9cgN+GiIiIyPJoh29IiE5E/O0UJN+2QlRgDBxdHdB8UEM06VcPcakxapmjR46pid1k8nkJ+BIRFRTrgviQO7fvqLFsHp86RQVyxcTJE5CamoqN/2zK8zpBgUHYs3sPrly+ou68ERERFXcpKSn4c81fGD32URXIFd16dEMtv1pY/fvqPK8THRWtegGfPXsO8fEJBfCNiIiIiCxLUlIStq3ZhbBDcQhcF4Owo7FISIlHz6c74MmlY9FlSht4lHPXDfHQb0Bf9Vv+JiIqSAVyy+n8+Qvqd13/OrrX5HEHeZxUxiDM6zp/rV2nlr9+7TrcXF3x0aKPsuz5JOJi4xAXF6f7OzwsPA/fjoiIqODJjdLo6GjU9Tcc816GbciqbjVlnYMHDiEyKkr1apFx+N9+9230fqRXtnli/UpERETFeXgHrYSYBJzfcRUn/jmLkFsRsLa1Rt1ONeHVwB1XAy6jWltf2DkYhls4xAMRFfsAsHaSNhnHV5+np6caizAv60x/Zjq69+imCtOEhAQ1RMS0J6Zh664tGcbU0dr492asXbUuw+t3rj9AZEgMLFFqSipuXr4DS2XJ+bfkvFt6/i0575aef0vOu6jqVwmWTlsXlvLMWE9evHAxT+tI75R577wBFxcXaDQafPT+x3h2xnPYtG2DGjc4K8WtfrX049yS82/Jebf0/Fty3gXzX3iKQ91KlNXwDtLTV2IOnvDG+b+v4tLe60hOSEbpSh7wbO4Mr3qlUKuxLy5dvKyGeMgqFkFEVKwDwPb2duq39LqVwlAr7W/7PK2j3xvJwcEBL738Ajq164JTJ0+jTdvWmabdu19PdOrWwaAH8Jtz5qNS9fIoXaY0LJE01C250WXJ+bfkvFt6/i0575aef0vOe3GhrRvj9Z5oyaluNXadLl076/5vZWWFZ5+fqSaG27ljFyZMGp9lnopb/Wrpx7kl59+S827p+bfkvAvmn4jM2fNXgr+2qfZwjvLA1b23cCs8FLb2NqjdoQYa9a6LCnXL4uGDh2o5GcKS4/sSUYkOAPtWSmtESsHo7p425qB48OABOnXpaLZ1RKlSpdTvoKCgLJdxcnZSP0RERJbKt5KvCs4+uP/Q4PX79x+gUiVfs60jZCx+VzdXNeZ+dli/EhERUXGQlJCMM9vP48HmcCQEpAAawMPXDak+4Rj70lB4l/9vUnrt+L7aYSI4uRsRldhJ4Bo2aqAeL9WfvO3Y0eMIeBiATp076V47fOgwzp+7YPQ6Mo6hPIqhb+uWbep3vXr18v17ERERFRY3Nzc0bdYUGzf8V0+Ghobi0MFD6NTlv7r13NnzOHL4iNHrSG+XqKgog886c/oMAgMCUb8B61YiIiIqHqTNI8NjaSeS16RqcOfMfWxatAufj12GbUsOIDkiFaUbuqLrSy1Rvm8pOFazhae34VBa+uP7MvhLRCW6B7A8BjHn1dl4dc7rqueRl7cXliz6DH379UHTZk10y8199U341/PHh5+8b9Q6MpmNjPk7cPAA+Pr64ty5c/jh2x8xecok1KhZvSC+GhERUaF5+ZWXMGbkOLzx2puo36A+lv20DDVr1sSQYYN1y3zz1Te4dvUa1m34y6h1EhMTMajfEDUOsLx+9+5dfPvVd+jYuSN69OpRaN+ViIiIyNxj+0q7RxNlDY8kL9w59hDRITGwsbNBzdZVUL97bTiUtcH+/Qdw6c5FFaNo1qwZg7xEZJEKJAAsRowagbLlyuGvtevURDNTn3oco8eONlimVeuWqFS5ktHryCzmX3/3JX5d8Rs2/LMRZcv64Idl32c59i8REVFx0qJlC6z+63f88vMKbN2yFd26d8OkKRNhb//feL7yREzp0qWNXkceXfxj7Sr8snwFNm3cDE9PD7z59hvo27+PuiFLREREZMmkx+/2v3cj8W4q4m+nIDooCg+sIlClUUV0GNcCtdpWhYOLg255/eEd7l5/UKh5JyIq8gFg0alzR/WTlTfemmvyOhIwfmH282bLIxERkSWRXrzz33sny/cff3KKyet4eHpg2oynzJZHIiIiosKk0WgQdDMUl/ddx8XdVxF2L1K9XqFOWVRrXxFBmgfoPbKjwfxD6Yd3ICKyZAUaACYiIiIiIiIiyq/evdreujbWNgi4FozL+6/j8t4bCLsfoZYpX9sbns2cUdrPHQ1a+uPSxctwjHNQ6xARFVcMABMRERERERGRxY/ru3vHXkTfiUPig1SkBAFxEQmAFeBbrzya9K8Hv7bV4OblqhsD+Mjho2ps3/Yd2nFsXyIq1hgAJiIiIiIiIiKLFBEQhauHb+LAuiOIf5gETQpgZWsFx3K26D62HWq1rg7X0oa9e8tXKG8wtq8M80BEVJyxlCMiIiIiIiKiIjucg36ANjEuCXfO3MeNY3dw88RdhN1LG9rB2skKVVpWQNOeDZHkHIfjJ0+gRvvKcHXPfGgHju1LRCUJA8BEREREREREVGRoh2hISkqCrbUtavvWRez9RNw6eQ/3LjxEanIqbGytUbFeOTToUQeVGpXH3uO74eRsjVSPRFy9eE0N7cBxfYmI0jAATERERERERERFQnxcArb+vhMpoQDCbXD/RhhuJe9T75X29UDjPv6o1rQSfBuUh72jnW69Dq7tOa4vEVEWGAAmIiIiIiIiokIRHRqL+xcD0n4uBODhlUCkJKXqAr5VWpRHhFUY+o7thfJVymaZDsf1JSLKGgPARERERERERJSvY/eKpPhk3Dl7HwFXg/HwSpAK+MokbsLK2gre1cqgfvfauB99B6WquKF+s7q4dPEyEOcM74plcvxsjutLRJQ5BoCJiIiIiIiIyGxj9yYmJsImxRZ+leogJUKjAr4B14IRei8c0KQt6+TuiPK1fdCwVx1UqFMW5fx8YO9kZ5DOkcNH1Vi+7Tu0yxBMJiIi47EEJSIiIiIiIiKTaTQaxEbEI+x+BAJvBOPw9mNIidQgOSIViTFJuIMDajnnUo4oW9MbPnXKoHbL6ihbyxvu3q6wsrLKNF0O50BEZF4MABMRERERERFRplJTUtU4vZFB0YgMiFLB3rB7EWm/70cgISbxv4WtgVLlXVG1ZXnAJRUBUffRe3gPlK9aTgV7b16+g6p+lYwLVtjawt3dnXuFiMgMGAAmIiIiIiIisiBRUdFwL+Wep2ERpPeuBG9jwmIRGx6nfseEpf2OColBZGA0ooKiERUco4LA+lxKO8OzQin4tauufntWcIdHRXfsPLADzi7O8KtTSY3d6xbnDJ9K3ln29CUiooLBADARERERERGRBdm2ZRvc3N3U2LgyXML9iwEqUJsUn4SkhGQkJySr3zLpmrwWH52AhOhExEXHq9/yt/ykJhsGdrWcPZzg7uOqhm2o1baa+r+7t5v67VneHfbO9pmu18G+PcfuJSIqghgAJiIiIiIiIrIgjRo3xIMHD1WwdfDQQTiw4jiuH72d6bK2DrZwdLWHo6sDHFwdULpiKfVb/pZAr4unE1w8nNN+ezrDqZQjbGxtcpUvjt1LRFQ0MQBMREREREREZEGqVa+mhoA4cvgoYmNj0fmx1mg3tjnsHGxh52irgr7yf1t7W1hZF+zwCxy7l4io6GEAmIiIiIiIiMiC3Lh+Q/UAtrOzg7OzM2zdeWlPRERZs87mPSIiIiIiIiIqYk6dPI24uDg1BnBeJoIjIqKSgTUFERERERERkQXp1qMbKvpWYPCXiIiMwh7ARERERERERBbEzc2VwV8iIjIaA8BERERERERERERExRQDwERERERERERERETFFAPARERERERERERERMUUA8BERERERERERERExRQDwERERERERERERETFFAPARERERERERERERMUUA8BERERERERERERExRQDwERERERERERERETFFAPARERERERERERERMUUA8BERERERERERERExRQDwERERERERERERETFFAPARERERERERERERMUUA8BERERERERERERExRQDwERERERERERERETFFAPARERERERERERERMUUA8BERERERERERERExVSBBYBTUlLw2aLP0Ktbb3Ro0wkvznoJISEheV4nN+kSEREVF7//9gcG9h2Edq064PHJU3H16jWzrJObdImIiEqK3bv2YMTQUWjXsj1GjxiDw4cO58s6REREFhUAfv+9D/D9tz9izqtz8MXXn+HmjZuYOHYSUlNT87RObtIlIiIqDtauXov/zX4F4yaMww9Lv4OLizNGDXsU4WHheVonN+kSERGVFMePncBjE6agU+eO+Gn5j2jUpBHGjZ6Ay5cum3UdIiIiiwoAx8TE4IfvfsSsF59D5y6dUL9BfXzw8fs4c/osdm7fmet1cpMuERFRcbHokyV4dMwoDBsxFH61/bDww/eQmJiIFb+szNM6uUmXiIiopPjisy/RqnVLTH96GmrWqonZc15CzZo18fWX35h1HSIiIosKAJ86cQoJ8Qno0LG97rUqVaugatUqOJTFYy/GrJObdImIiIqD4OBgXL92He316kB7e3u0btMahw8ezvU6uUmXiIioJJGhG/TrSdGxcwccPnTErOsQERGZiy0KwMOHAeq3l7eXwevyd+DDwFyvk5t0RVxsHOLi4nR/hwaHqt+W/GhrREQkQkPSvoclsuT8W3LeLT3/lpx3S8+/Jeddq5RHKdjY2MBS6epAr3R1oFcZnDxxKtfr5Cbd4lq/Wvpxbsn5t+S8W3r+LTnvgvkvXJZetxojPi4eEeERmdSTXggICDDbOlqsW4sWSy5jLDnvgvnnti+px04pM9WtBRIA1mg06nf6DNvY2iIlNSXX6+QmXbHx781Yu2pdhtffnDPfyG9ERESWbsHH81DBtwIs1r91oK2tYR1oa2uL1KzqQGPWyU26/2L9SkRUsll83WoEDbKpJ1NSzbaOFutWIqKSbYGZ6tYCCQCXLlNa/Q4LDUO58uV0r0sE3t+/bq7XyU26one/nujUrYPu7+CAYLwzdyFefftllPFKS9OSSM8qCV7PXfA/eHh6wNJYcv4tOe+Wnn9Lzrul59+S866ffzt7O1iy0qXT6qvQ0DCD10NCQlGmTJlcr5ObdItj/VpcjnNLzL8l593S82/JeRfMf+Fve0uvW43h5OQEZ2fnTOrJkCzrydyso8W6teiw5DLGkvMumH9u+5J47ISbuW4tkABwg4b1YW1tjSOHj6L/wH66yk7GGJzxzLRcr5ObdIWTs5P6SU8uTrVBZUskBzPzz21f0o4dS867peffkvMuLP0R1QoVK8CnrA+OHj6qZhTXPhlz7MgxDBk2ONfr5Cbd4ly/Wvpxbsn5t+S8W3r+LTnvgvkvPJZetxqrYaOGqp6cPGWS7rXDB4+gUZOGZl1HsG4teiy5jLHkvAvmn9u+JB47NmaqWwtkEjgZ26hv/z5Y/OkSBAYEIj4+AfPfehc+Pj7o2bunbrkxI8fijdfnGb2OsekSEREVR+MnjMPyZb/g/LkLSElJwedLvkBoWChGjR6pW+b1V+Zi/JiJJq1jzDJEREQl1YRJ47B1yzbs2L5T3ST9+6/1OHL4iKo/tb775nt0bNvZpHWIiIjyS4H0ABbz33sHs59/Ge1adYCVlRVq1qqJ75d+qx6H0ZJHYqIio0xax5hliIiIiqOnZjypnnwZMmCoGl9Qbox+9e2XqFylsm6ZyMhIhIWGmrSOMcsQERGVVI/0fQT37t7DzBnPIiEhAS7OLnhr/jy069BOt0xsTCyCg4JNWoeIiCi/WGm0M6kVEOmlm5SUCDc3twzvyVi+NrY2cHd3N3odU5bJbmZVGVxfxlfK7NHVoo7557YviceOJefd0vNvyXkvDvnPTFJSkrrQlBli05MAcEpyCjxLexq9jinLFNdtbcl5t/T8W3LeLT3/lpx3wfxz2xe01NRU1YHJzd1NDU2oLzY2Vv3ITVRj1ynux7kl593S82/JeRfMP7d9STx24syc9wIPABMRERERERERERFRwSiQMYCJiIiIiIiIiIiIqOAxAExERERERERERERUTDEATERERERERERERFRMMQBMREREREREREREVEwVywDwj9//hI5tO8O/Vn0M7j8Ux44eN8s6uUnXVAEPA/DU49PQoG4jNG/UAq+/MhfxcfFZLh8XF4dvv/oWfXv1R4M6DdGjSy98+/V3anZZrYSEBNSoXCvDz28rfzN7/tev+wc9u/ZG3Zr10Lv7I9i8aUu2y0ve0+dLtm9e082NmJgYzHnpFTRt0BwN/RtjxlPPIDg4OMvljx45mul2lZ8d23boluvUrkuG9xe8865Z856SkqK2yfgxE1Gram28/+4HRq136OBhDOw7SG3zzu264Oely3O1TF4FBgZhyaefoV2rDmr7PHzwMMd1tm7ehrGjxqFxvaZqPdl3ISEhBsuMGz0hw7Z/8vGnzJ5/2UZPT3sGtWvUNSr9a1evZ3rc7N+732C5q1evqe9Yz68BWjdriw8XfmRwbptDZGQkfvphqTq/JA8HDxzKcR0pnzLL/xuvz9Mt89r/Xs/w/iM9+po171L+fffN9+jXe4Cu/Pvmy29z3EZyvE2fOkN9j2YNW+CVl19VaZm6TEmz8Z+N6NUtrRyW3/K3OdbJTbqmklnYZR/KvpR9KvtW9nF2ZeqaP9Zi2KDhankpx6XclnT0de3YPcNx/vab75g9/9LekHaHlMPSDpH2SHZ279qT6Tl66+atPKWbG3I+StklZZiUZVKmSdmWlbDQsCzrVmnfaE0aNznD+1MmPWH2/B8+dBjPTJ+JOjX8jU7/+rXrqv7Rlt1SJ8sxZeoyeRUdHY1lP/2s2k2yfeS4yMnxYydUO7RFk1Zo2bS1+r/kVZ8c4+m3vZwL5nbh/AV13kr5LnWUMTI7bpb9uMxgmaCgINXGk7aetPmk/SBtQHOStvefa/7E8MEjULOKX4Y8ZEbKm8zyP2bkWN0ykk5my5iTHIfavGvLv/lvLchxG8n1ily3yPWLrCfHjlzXmLpMSXPi+EkMGTBMlcMd2nRS7RpzrJObdE0lc8l/+vEitG3RTpVljw4fg0sXL2W7zq6duzFh7CQ0qd9MrffirJcQGBBosIy0pdMf41JemtvNGzdVXurXbohWzdrgvQULkZycnOXyd+/ey/G6Lzfp5taK5SvRpX1XtY8H9BmIA/sPZru81DWZ5X/2Cy/rlpG2Tvr3pQwwNzlOpCyQctjY9ENDQzFzxrNqHTl+Xnp+NqKiokxeJq8SExPx59q/MGLISFW+//Ddj0Zd+0le2rVsr+odaQuljyX98vOKTPePudsGchxLm0PqeWPTl2u49PmSaz198fEJeOO1N9PK9zoNMXXKk0Zd05ta5uzcsUu1x/yq1cmQh8xIHZ/Zdm3RpJVuGbn+zWyZy5cumzX/xpR/uSlnTSqLNcXMryt/09SuXlezccMmTWBgoOatN97W+Neqr7l3916e1slNuqZKSUnR9OnZTzN6xBjN7dt3NGfPnNO0b91RM2vmC1mus+ynn1Vezpw5q4mIiNBs37pdU8+vgWbxJ0t0y8TFxWuqVKimObD/oCYpKUn3k5qaqjEnSb9G5VoqT8HBwZpvv/5O/X3s6PEs1/nqi681vbv3MchXcnJyntPNjWlTZ2i6duyuuXjhoubWzVuaoQOHaQb1G5LtdtLPt/zMf2uBpkHdRmqba7Vt2V6zfNkvBsvJvjanHdt3ah6bMEXt/26demgWvPNujuvcvHFTU6eGv+b9dz/QBAUFadb9+bemVtXamj/X/mXSMuYgx/h78xdqflu5Sh2r9+/dz3b5q1euqe+7d/deTVhomObSxUuaAX0Gqv2lT86l+W8vyNdtL9to+OARmrWr12omj39MM2XSEzmuc+XKVfU979y5m+U5GR0drWnVtI1m5oxnNQ8fPFTnQSP/JpqPPvjYrPmXffvqnNfUMSR52r/vQI7ryDmqn2/ZD9oyRmvOS//TTJ3yZLbndl798vMKzZuvz9OVf/Id6tdpqPn4w0+yXEf2f/9HBmhGDn1Uc/vWbc35c+c1ndp2VtvZlGVKmsOHDqty96cfflLl8I/f/6SpXqmm5sjhI3laJzfp5sYz02dqOrfroval7NPhQ0aqMiOr8n3Prj2a556epfIRHh6hOX7shKZDm06aGU89bbBcx7adNUt/WJqvZYy0M6S9IfWLlMMb/tmoqVWttiovsyLngmzH9HVUXtPNjQ/f/0jTpH4zzcEDh1RZ9vS0Z1TZJmVcVtLne+UvKzVVK1ZX+05r3OgJqv2Tn9teymhpC6z+fY3m8clTNZPGTc5xnZiYGE2b5m3VsfLg/gN1jMv3l7LWlGXM4ZOPPlVlsbaMluMiJ8MGDddsWL9BtXXv3r2reeKxqZrWzdqqMlbrjdfe1EwcOylfy3fRt1d/dX7NffUNTZcO3YxaR77nrp27s6xb5f/SVpB6W9p6F85f0HRp31Uz/UnDczuv5DySY13qRamXpGwztW6VtpCcx1I+akk6si2yO7fzStoBUt/JcSnl34njJ1Ud+NTj07Jd77lnnldl4rmz59V1zKhho9U+1CqIfN0AAEGTSURBVD8vjVmmJJHzv37tBpp5c99S59zmTVs0ftXraFYsX5mndXKTbm4sWfSZpqF/Y82+Pfs0AQ8DVHu+WaMWBuVF+rxL2b1zxy5NSEiIag9LmSPXgvpliLSlpW2an+V7XGycpl2rDpppT0xX+Tp6+KimWcPm2V5DyTErZYxch2RVxuQm3dz4+6/16prsr7XrVB3+wXsfqljF9WvXjS5j5Fpavs+2Ldt0y7z95juasY+Oz/fyfWDfwZrvv/1B8868+epa2Rgjho5S6924fkNz+dJlTY8uvTJcdxmzTF79sWq1qjOkrGxcr6mKTeTkySlPqXiStCukvSvXL3KNfe3qNd0yEuuQ8jE/y3ch22PRx4s133z1rdr/xnyGbMdvvvwm23PyxVkvqdiVXJfJuTJm5FhNr26PmPX4OXrkmCpDpM0qdbm0cXIi+dTPd3x8vKZl09aa/81+RbeM7EvZFvJefm17Y8u/3JSzppTFxS4ALMGv1/73uu5vKZBlB0twKS/r5CZdU0mDVQ48KbC0pFCv5ltDExAQaHQ6UqD07NorQwBYGnL5SQJyclDrk4NaKsCcAsDmTtdUUhjLNtq6eavuNWmcymty0WoMKSSaN26pLlT0SaVm7gZXTgW0MY0MaRRKJaPv+WdfUDchTFnGnLSFb04B4MxoL3BlX+oHgM3d4MqpcjclAJzd95SbBtJY1w+SfL7kC3UhmZCQoDE3yYuxAeD0np3xnAqu6ZMKWbZHQZOGpNzIyYpUjPI9ZR9o/fP3Pyq4JBWzscuUNBIEkvNJnwTI5fW8rJObdHNzbMu+kxu4WnLTSPax7GtjSRBSLrb0zz8pH6XBnp+knSEBOP0LTGm0SrskpwCwudM1lWwrKbOkrteKjIxU21HKOGNJnT921DiD16RdIBeqBUUu9owJAP+64lf1/eR7an39xTfq5rxcWBi7jDnJhYaxAeD0JHiUPkAgAWBjtoW5SGDclACw3MDJirTpZBm52a+1aeNm9ZoEvPODsQHg9KTOl4COBGHTB4AL2qpff1c36/Q7OOiT6xS5Xlm/br3uNQmSaQPyxi5T0ny48CNNiyatDMrh11+Zm6FNZeo6uUnXVBKwkBtXEkjSio2NVUEtCewZS26wyjEg9bKWtKX1r7vzw++//aGO6fCwcN1r333zvaZuzXoqiJtdAFj/Wt0c6eaG3MRO30lMbtSkvw7NjtT50g7QDz5JvZr+ujs/yfFjTABYbkTJtj918pTuNQmkyWvaIKoxy5ibsQHg9OTclICd1P3pA8AFRTp0mRIAzu57SlBb2p3pO5JJ+tJBLT/IDXpjAsDpbduyTeXrzOkzGWIQ+RFwN7X8M7WcNbUsLlZDQESER+Dqlato07a17jUrKyv197Fjx3O9Tm7SzQ0ZUqB8+fKoWq2q7rV2HdqqxydPHD9hdDrhYeFwcXHN8PqTU6apLuG9u/fB0h+Xmv1R8qNHjhlsI9G2fdsch8q4fv06GtVrguaNW2Ly+Mdw8cJFs6RrimNHj6nfbdq10b3mX68uPD09de/lZMf2nQgKDMLIR0dkeO+9+QvV4zndOvVQj8JmN6xHQTl6NON2bde+Hc6fO6971N2YZYqKsLBw9dvVxSXD4zTax5vlMRE5P4qK/n0GqkdkZIiNv/5cl+G4b9iwAVz0vk+79m0RFRmFK5evoqiQISQ2/LMRo8aMyvCePG4sj7+1ad5OPUJ97969fM9PWFgYXF0Nj4H029Xbxxs1a9bQvda2fTv16Mzxf8tzY5YpaY6pcvi/8lF7PGZXDhuzTm7SNZU80i77Tr8s86vtBy9vL5M+R8oYB0cH2NnZGbwuZboMXyGPwMsjdeYuG6Ucbt2mlWp36G8jaZdI+yQr8kif1KtSv8pjint37zVLuqa4fPmKKrP0t72bmxsaNmpg9LaX4QeOHD6KUaMzljG/rvxN93izDBUgw0cUNik/6tWvp76nfptFhmPQPo5nzDJFhbbOdHF1zTD0kZTv8kjx9Cefxp3bd1BUzJzx3L/t3UfUY+/6j7dKW7t06dKoXae2wXEv8mNot7xYtXIV+vTrg1Kl3A1ev3vnrhr+Sh6zlUdJz549l+95CQ8Lg4ODA+ztDcs/Lakb5bpCvzyvUbM6ypUrp2tHG7NMSSPHY6vWLQ3KYSkLbty4qR5lz+06uUnXVDeu31BptWn3X/nu5OSEps2amHQuybElXNK13dasXqvK9/atO+LlF+dkOyxfbkg5LNd6pTxKGZQFMtTT+fMXsl1XDQ9VpyH6PzJADRdlrnSNJY/anzl9NovrY+POJbkWlWuP4aOGwcbGxvA7HD6qvp+U79OemJ5h+KjCIMe0q6srGjZqqHtNvr8c49rjzZhligo5HhITEjMc9w/uP1DluwxZJkM7njl9BkXF4k+WpLV3O3TLMCzaiWMnVV2rf0xWqVoFFX0rFrlt/+vK31QbrH6DjMOOtm7eVrWb5RyX2E5+y6r8M6WcNbUsLlYB4MDAtPEzyniVMXhdGnoSmMvtOrlJNzckrfSfIQFIKZSN/RwZ70kK85GPDte9JnX/0OFD8ctvP2PfoT14avpULFzwgRonxFySkpIQHh6eIf9lypRWY61lxcPTA2/Nn4dtu7bgj7Wr4F7KHUMHDsedO3fzlK6pggIC1Yni7Oxs8Hpp+Rwjt/2vK35D4yaNUde/rsHrHTt1xHc/fYsDR/fj9Tdfwx+r/sALs15CYZPvXKZMumO6TGkVKAkODjF6maJALpo/ev8j9OzdUx1TWvUb1sfnXy5R2/7jRR+pRtnEcZPNPpaSqaytrPDEk49j1epfsXPfDgwdPgTPPT0Lq379XbdMUGBgxjLn331hzmM/r/5c85fanvId9FWqXAkffvoB9h7cjR+WfYeQ4BCMGDzS7ONw6Tt96jTWrv4TI0ZlvAmjJeV5+mNaLq4lqBcUFGz0MiWJXLDL+Z7xeCyt9mtmNxONWSc36eaG7E97e3u4u7vnuh6RMcy+/uIbDB8xLEPA9Nsfv8HBYwfwxltzsXbNn3h+5gswJ1UOZ1UWZHFBLN939v9ewl/r12LT1g1o3aa1Gj9x/74DeUo3N3kXGeuRMkZve2moy/o9ehmOMVuvvj8++3KxKt8/XfIJTp44hQljJ+bLOIumUOVHJm0Wod+uzGmZokDOwbfefAc1a9VUFxJaFStWwPsfvYc9B3Zh2YqfVB08dNBws904yIuBgwfg55VLsf/wXsx4ZoZq677/3gfZtrXlRqujo2OR2vYy9vT16zfw6JiRGeqiee+8iS07N2H1X3/Ax8cbwweNUBeA+UXGJ/zy868wbMRQWFtbZ3muy/WKfhssfTvamGVKGhmLvoyXl0llgTHr5CZdk/OeZflufN0qQcj3FryP9h3aoWLFirrX69SpjcWfL1Llu5TzMh742FHj1dir5qLa2ZnkXb2XRf6tra0w6bGJ+PWPtPa73JiUcV3150fJTbqmCgkJVuVzxnqkDIICjau//1m/ATHRMRnazOXKl8PCD9/D7v1p5Xt8fLwq3wv7Bqsct9rtqN/WcXN3021XY5YpKhYueF/dVOv1SE/da5JPaUtu3rEJa9evQYUK5TFs8Ihs500oKNJh4Nsfv1bt3bcXvIUN6zfi6aee0b0v7RppH0t8LD9jNnkVHByM7Vt34NF0HZfs7ezw/IuzsPbvNdi8bSM6de6kOibKeMP5Javyz9Ry1tSyuFgFgLOiGisajdnXyU26uSUBt5xI4+/xyU9g0JCBGPnofw1GKVw+/OR91dtBGl0DBw/EUzOeVJMlGZNuXvJnZZX9ITZi5HD14+Xlpe4SffDx+yqPP//0c57SNRfZx8ZsIWlo7dy+M0NDXSxY+I66cJJGe6fOHfH6vNfx919/F0hvSFNJw0bJ5rgwZpmCJBOtyCQicqfjvfcXGLw355WX0b5je7XtmzVvio8XfYiTJ07ikBETneWn6jWq43+vzUG16tVUYT1+4njVAPvqi69zDBwLc5235iA3Pnr07K7OYX1PTX8SvR/ppc7nOnXr4POvPlNBpXV//p0v+ZDeCTIhQL/+fTFm3GiT15dGS07b1ZhlShJVPuaibs1pndykmxtSjxjzORLUmjT+MdVT7aU5hjfv5r/3jipbpIzp2KkD3nzrDXVRdfvW7XzMec7lcNt2bdQ5WKFiBXUxN+vF51RZ+PWXOZQxBVS+y+cYs+0lmLv69zXqBpNcxOmbPecldOjYQW17qWM/XfIxTp86YxDkLiq0QbPsvrIxyxS0ua++gdMnT+OLrz8z6Pk+ZeoU1TPVs7QnavnVUgEaCSSs/mMNCpvcDJAb8dL7rt+Avnjm2afx/Tc/5HhjoKiV7yt/+Q01atZAi5YtDF4fNGQQRo0eCW9vb1SuUhnvvr8A5cqVVZO55oeIiEhV/lWuUkW1qUyVVp7nfZmSRHuNY8rxaMw6uUk3N4ytw+WcnDHtGTW54Eeffmjw3vMvzULnLp1U+d6ocSMs+WKxekJUJlDKT/+Vw5nnX4I0c+e9rtoD0n6X9uaY8WNybr/nkK65WEndatSVK7Byxa/o0KkDfH0NA0+PPT5ZlZ3a8n3xF4uQEB+vOjAVRdZGtOWMWaYgyaRxMoHfos8/NQjaDRw0AKPHPqpu7FWq5KvamL6+vvjRiEnm8pvceGzeork6J6Wn+TvvvoVtW7fjyuUr2a5nVUBtemP9sWo1bG1t1c1ifc1aNMPTz85Q50PZcmXV/7v16IavPs/+3M6t7Mq//L6eKlYBYGkMidAQw0dbpCeRPOqZ23Vyk25uSAAlNCQkw6N30rvOO4fPkdlGZbY/6Y0kd+1y4u9fV3XbN9fMu6p3VSn3jNsoJGPvruzICVnLr6Z6RMmc6eZE9qM8tpv+0V3Zx95GfM7vv/2ueo/0G9DPqG0vbl5P+46FRb5z+sfA5PvKRZB22xqzTGEHf5+c8pR6HHLlql9UYyU78ti39D7RHl9Fib9/HYNHrNLKg4zHvcipPCgo589dwNkzZzMd/iE9uRivWKGCKqvMTYJtjw4fjZatWuKDT97PdtnMjmkZxkJ6lWiD2MYsU5JIA0Lu6Kevn6QskIZrZj3CjFknN+nmhuwz2Xfpe5/L+ZRTHS7Bj7GPjlNPiPyw7Hs4Ojpku3zdenXUb3OWMep4zKT9od4z4XiUuke/3jFXutnRbt/M6hFvIz5DLi7ShlbKeHM1PemlKm2GmzfyryekMTIru7VPzGi3hzHLFLY3X5+nnij7+ddlKgiQHXnktlJl33wp3/NKjns5/+/dvZfltpf2sLT/ikrdKmXVhvUb8OjonI97adP41fHLl3aN1Hvjx0yArZ0tflr+AxydHLNcVo5buV5J3wtcneva496IZUqazK79tG29rMoCY9bJTbq5Lt9DTC/fJfghvQelZ++KVb/Ap6xPtsvLU2VSzpjz2imraxxhTP2k336X6xDtTSZzpZudMqXT2kiZxiaM+Awpqw8fPGxUGSNPSMgNoMK+dpLvFZZuu8qTwhEREf+VMUYsU9iW/fQzFrz9ruoYIx0HsiP7WHrDF8W6VfvEs/a4kONego0yFF9ujsmC8tvKVeoGh/4QXNm2m/Nh25tS/hlTzppaFherALD0NKtevRoOHjyse00OxIMHDqFp86a5Xic36eaGpHX//gODcdSkJ4sE25o0/e/Ru/QkaCTB35atW6g7CMZcNF+6dFldKHl4GD6GlRfNmjXN0LNS8i+vG0sahteuXld3vsyZbk6aNW+mfss+1ZI7zVKBN/33vZzGaes/sL/BeK3ZbXuRU2Mnv8n3ymy7Sm9N7VAYxixTWOSCTnr+SsG88vcVRm3Pa1evqWOssLd9VseFfuNEygPpzaZ/U0K2vZuba44X4wXl1xW/wreSr3p0xZgL2vsPHhic2+Yg5aUEf5s0a4pPFn+UYRyz9KS3pjwqo/+4rLac1T7ibMwyJY0cj/p1oNi/b3+2daAx6+QmXdPznrbPDh3473PkcToJLGZXj6jgx+jxsLW1U8EPufjMyeWL/5bvZjzOZVscOpixHJYnCdI/Sp2dS5cuGZR95ko3p5tust3061YZLuD06TNG7ePfVvyGlq1bqt5WxowVLPWCj0/hlu/Snjh79qz6nvrHtLQPpO40dpnC9NYbb6vevMtXLkP9+vVyXF4CqHfv3DN7+W6uulXqBe1jwXLcSSBMxrrW2r83rdd4UzO2K/Pir7XrVFtlSLqhlTIjj4HLvADm3vZSZ48fPVH9f9kvP+V4sSzXKVJHHtQrU6R99uDBA925bswyJY20Nw4fPGLQS0vKYXkqMqugiTHr5CZdU6m6wsPDYH/K2LQyHGF2+1OCHzOnP6vqAWm/p++Bmhl5alLKS5+y5q1bpSOD1PX620hu+PrX9zc6nUsXL6ub2dKJyZzpZkduxvjX889Qhx/Yf1Dte2OGVpKgkfRwzIlch9y+fbvQr51ku0ZFRRuMeX7wwEF1jGuv1Y1ZpjDJUCFSvy75cjG698x520u+r1yR8r3oXbf+195Ny1uTpo1VDEq/rS3XaHJzxJhjsiDIGNHXrl7LdE6JrNvN5q1bTS3/jClnTS6LNcWMzCots2zKjI8RERGahQveVzPgyaydWi+/+D9N7+59TFrHmGXySmbw69Wtt2b8mIlqplyZGbdL+66ap6c9o1smJiZGzbAoM0iL27dua9o0b6t5ZvpMgxk89f3y8wrN0h+WqtnrZUbADes3qBmJZTZYc9q7e6+a9VRmCo6KitL8vHS5yuvhQ4d1y3zx2ZdqO2o9O+M5zaGDh1S+JH8vznpJU6tabc25s+dNStccZNb5nl17qZldHz54qGai79e7vyYlJUW3jMxSOv/tBZnOKK0/46iWHC8fffCx5tbNW2pm7wP7D2rateqgGTNyrCa/yCydC955N8Prst9lu8l2FjIbqmxrmTFSZiLfsmmr+ltmr9UyZhlz0s7Aef/e/QzvPTp8tGbqlCfV/xMTEzWPTXxcnR+yrzJz5cpVzatzXtNcuXxFzUR/9sw5tT9l9uz8mGVdPDnlKTVzcXoys6ds+3179qm/l3y6RLPmjzVqxlQ5plf+slJTs4qfwUywsr2bN26pzomw0DA1s23TBs01781fmC95l20u2172QXrpy0wh21Bmr9WfcVT/vacen6ZmV5X/X792XTNh7EQ1U67MKG8ud+7cVefktKkzspy1VT5ftr2U4ULKyUd69NWMHTVOE/AwQOWta8fummlPTNetY8wyJY0cF9q6R47ZFctXqr/1j5dvvvxGlQ+mrGPMMuYg+657555qX8o+HT1ijNrH+uW7zLz81htv686/AX0HaQb3H6r+nxmpm2SmdZnlWI4zqcs6tOmk6g5zknpe2hsfvPehysuO7TvV39pjWsgMy7LdJC9CvoeU1+HhEar8kDJHzu/169ablK45SJnVrFELzckTJ1Venn/2BVW26W/XsY+OV2W6PtlP8p1W/74mQ5qyH2Xm58uXLqttL20G2V8yA3pcXP6U79OffFozadzkDK9LW03yuWvnbvW3HMctm7ZWs7OHhoSqtoF8//lv/dd2MGYZcwoJCVH7X/ZxenNfe1PVi1rvzJuvynb92bHTk3pO8izbWto38neDuo0yrbvN4f13PzDIo35ZLdte2rhC2onfffO95t7de5q42DjN5k1bNI38m2hmv/Cybh0556UtIG0KaT9Im0/aTdIGzC/S5v7x+58yvC6zc0v+0xvQZ6A63jIjx4yUj3I9IOfI/2a/otoPcn6ZS3R0tCr75JySa56syD6R40dLrlfkNTkn5Dpm3OgJ6rpG//rEmGVKkrt376rrIiknZVtLOSJ/a49pIa/JcSLbzNh1jFnGHD756FPVtjt6+KgmPCxctRdlNnop67WkbJcyXsh+lmNb2m5ZXUNL3qXte/HCRVW+y+8hA4apdeS4NxdJq3WztpqZM55V5bCUeS2atNLMm/uWbhmpU2XbSx0rvvz8K1XOSFtWzhP5v7R7Fn+yxKR0zWHt6rXqszdt3KzqFMmD/C3XPVrSFpC2jT7ZB5KfzK4VhZSFUp5I+S7tBPm7fu0Gar/kB7mOkH2bGfk+0rYUqamp6jgYPniEqmskb9KOk+sLLWOWMTc5/r/9+rsMr8u5JseOtmyT9q18H6mXsvLCcy9q9u3dr44tKR8lViMxkGNHj+dL3v9c+5dqG2R2DSX1olxHC2nfvjv/PVVfyjkp57tcg0s9Idtc67mnZ2k6t+uirsHlHJk4dpJqe2d1jZZXQwcOU23B9OR6W7a9XH+n3749uvTKNC2J72zcsEmVY/Lz1Rdfq20j1+vmYkz5l77MNLacNWYZrWIXANYGGaVgkx0vQQsJuul76fnZGXZ+TusYu0xeSeEqJ4sUEPX8GqgKUAoBLfm/HIxSiAi5cJO/JU/6P9LY1JKDQBr0bVu00/hVr6Pp1qmHKqjy42SUCzW5AK7mW0NdiK3782+D9z9b/LlBgODI4SMqyOJfq746SCX4ffrUaZPTNQe5GH3umedVXmQ7ycmXPrjYqmkbzdtvvmPwmqwjlUtmpPKU40YKSfneUglLY0x/n5qDFLLafS/HQ9WK1dX/pWDUkgv/9MHVPbv2qIa3LCvfLbMKzJhl8urD9z9S6cv+1T+epXGjNWLoKF1w9fixE2o5WT79sa89L+UiT4JKcq7KtpfjXyqJoKAgs+dfClz5bNnu2m0vr2lJ41XyK9tSSBD+5RfnqCCINMj79Oyn+WPV6gzpXjh/QTNs0HBV+ctFrJzH5j5vJZivf+xot6lUJNmVmWvX/GlwQyE9aZBKw6B29bqq3JQgrTY4ZS4ff/hJpuWf/k0mOQdlmWU//ax7Tc6ByeMfU8eFnO9yQS2NZ33GLFPSyD6XMkyOEfktf+uTxlL6YEZO6xi7TF7JvpN9KPtS9qns2/TBKmmQvfFvMOOvteuyLGPkxoOQRrB8Zwlm1KpaW9VRckGVH8eJlGtSlsnny/kk9Yq+rZu3qvxK41xIoEDOOSmH5MJNzkXtBawp6ZqDlFlSdkkZJmWZlGlStumTgHz64OqSRZ+pQGRmAV0p339buUrVvbI/5Ua4lKnmvMGkJYHZ9OW7fhtLLnTSB1flokMuQLVlt1z4py+7jVkmr6StlFn5Lp0YtF773+u6AIEELvTbEPo/+oEjOZZkP0r5LvWY3PzUBqfMSdow2m2vX9Zr97NsL3ldG1yVQJdcpMq5LO04uXEnARu5aaxP6i1p48kyUiZIOy6rGz25JW3ZzLa9nJda0p6S9/TJuSGvyQ2mzEj7R9rKco0g57e0oeU1c/rn73+yLP/063E5buT40ZK2rVy3SN7kvJTrmfRBI2OWKWkkuCLtQNm+cj5J2adPyhbZH1LWGLuOscvklZTFcl0j13BSlg3qN0Rz5sxZg2WkbJcyXlvuZXVsaesoCSjJdV/fXv3VMSLBVAncZNXhIy8kWCrXF3ITReobaQPolxdSp0p+pY4VEpSTmy5SX8oNU6k/pROHfhDMmHTNRW4iyfaR7SftdOl4pE8+N31wVW4OS5mqbS+kJ2lI3STfT+o/CQDrH3vmIjfhMrv207axhPwt7SwtKfulM5DUPZI/uaEkcQ59xiyTV3LTObPyXdtRSUi9pB9clf2U2TWL/k00CbxLmSjtNmkXSIexo0eOacxNgoOZbXttRyUhbVttcFU6UsnNVYkhSXu3feuOKh6S/gahtCHkhqu2fJe6ypydJfU79qSPeehfp8r1trwn19/6dY9cH373zfeZpivng3SolLJM8j+w72B1LWtOxpR/6ctMY8tZY5bRspJ/UMLI41LytXN6VLiokq7jknd5jEo7k3p68l5R/H6y3SW/RTFvxpBH8mTb6g+zkdlrhSGzCU70jwPZ9pJX7SNKRUlWx7H2OM9sO2c1oYv+OgVF8pa+KE1/Duqft0WJ9rhITztGa1ZlZlEoR40t/4rqti9uilP5ntV5IYpiGVqUy3djaM9j/Xq0KJQxJbF8L+p1q9A/zovqts9qW+pv+8zO26JwLhtb/hWV9m9xVxSOCXOW70WpjDFGUS5jcpJZPVpU2mrGlO+yjBw3xaF8z+r76q9TlK+7i5LcxjxkPdtCLkeNKf8yaxObU4kMABMRERERERERERGVBEUvpE9EREREREREREREZsEAMBEREREREREREVExxQAwERERERERERERUTHFADARERERERERERFRMcUAMBEREREREREREVExxQAwERERERERERERUTHFADARERERERERERFRMcUAMBEREREREREREVExxQAwFTmtm7XFTz8szfLv/PLJR5+iX+8BOS7XoG4jrPr191x9xs0bN9GsYQsEPAzIc3o9uvTCyy/OyVU+npk+E/PfWpCrdUuaEUNHmW1bmTOtgnLj+g11zAYGBBZ2VogoD8Y9Oh6vvPxqln/nl/Xr/oFf9To5Ljd04PBcl48xMTFo16oDDh86nOf0pk+dodbNjSWffoaJ4yblat2SRo49c20rc6ZVUGJjY9GmeTscO3q8sLNCRHkwb+5bqn2f1d/55crlK6puld/ZkWvFvJSPI4c9iuXLfslzenKdLde8ubFp42a0b90RGo0mV+uXJBIzkfZQUUurIEkb7tcVvxZ2NoosBoCpyElISEBycnKWf+eX5KRkJCYm5ric5CclJSVXn/HOWwswYFB/lC1XNs/pSV6TkkzfLvHxCdi2ZTu6dOsCS3H2zFnVyLl+7XqBf3ZigmznpCKXVkGpVr0aOnbqgA8WfljYWSGiPEhMSjKoS9P/nV9SUlNU2ZeTxMSEXJePXyz5ElWrVkHLVi3znJ5sF1k3N9b//Q+6dLWculXaH1K3btywqcA/W469pMSkIpdWQXF2dsb4SeMw7423CjsrRJTH8ke/jkv/d35JTU1VnyO/syPXirktH//6cx3u3r6D4SOH5Tk9uc6WOic3NqzfoK5FrKysYCmko9biT5YU+OfK8Zfb7ZyfaRWk6U8/hfff/UB1DqCMGACmIu/gsf2YOHkCLN21q9exdfNWjB0/tlDzsXf3Xtjb26NlqxawFLpGDu/8Foox40djzR9rERgYVDgZICKzW/bLT3jn3bctfstKT8qlPy3D2PFjCjUfd27fwcULF9GzVw9YCqlSVd2ay5valDcjHx2B82fP49DB/3quE5Fle/3N1/Db6pUoDr76/GsMHzVcXTcWFrmRu33bDvR6pBcsiXTUSk7J/5vslJF0cnNwcMDqVau5eTLBAHAxM3XKk+rxxQ8XfqTuPDWp3wxjR43D1StXDZaTRyi++fJbdO/cE/VrN0SX9l3VXSr9nqjatN6d/x7atWyPOjX88fDBQ/X4htxVeerxaep1eTx8zkv/Q0REpFpWHtFoXK8ppkx83GCoAyFDLEhvk9o16qqhHSaPfwznz13I9jt1atsFPy9drv4veZT10//oP54gBe7HH36Crh27q+/Wu/sj6g6mvpCQEDUMguSzeaMWeHHWS4iIiMjVNpfH91o1a4MFb7+b7aMpq35bhdp1aqNGzepmSS+3Nm3chO49u8HGxibT9+Wxpcy2sfYnLDTMpM/LaX/Ie7IP7ty5q5fHzahbs54KVl84fwHDBo1Qr/fp0VflQY4dLTkmX3juRfWaHJujR4zBubPnde8fO3JMrSOfKe/J8dq5XRd89cXXGfJ6+tRpDB88Ag3qNESHNp3w5edfQaPJeGc9p880Ja30JK3Mtrsco1qXLl7CYxOmqPNbjmH5v7yWm+9szHdp3qI5ypQpg7Wr1+aYf6LiSOrUvr36q7pIfst5N7DvIOzfdyDDsuv+/Bv9Hxmgzv22Ldph7qtvIDo6OkNaP37/E7p26Ab/WvWxZ/ce9cjaS8/PxuwXXlZ1cqN6TTBl0hOqHv3hux9Vfd3Qv7EqV6Rc1Dfrmed1ZYWc7yOGjMTuXXuy/U5SbkjehPQANabMl8dA+/Tsp75bp3Zd/i3X/qunpKfIm6/PQ4smrVT+5TPu6pXtpgZUe3Xrrdoa8XHxWS63acNmFcTs1qObWdLLrU0bNqFhowYoX6F8lsMUZFe35iYImN3++Puv9aoePXjgkG55CVDLMSTHnrT3GvqnPY47c8ZzunwEBaXd6JOeM+/Mm4+ObTuruluO6R3bd+rSioyMVMtLWtJelDpEjnfZ/+l7DN29e08dy/LZLZu2xhuvz0NcXFyG75PTZ5qSVnpyrGe23Qf2G6xbRoY6mjXzBXX8Sn0o59G+Pfty9Z2N+S6lS5dG67at8dvKVTnmn6g4+nPtX+qc2rZlm6oDpV0r16+rf1+TYVkZ4ufR4WPUud+8cUt1HXf/3v0MaW3etAWP9OirzrvvvvleDVkwZuRYvLdgoaoD9OtRqftUfV23EXp374OdO3YZfObnS77QlRWyniz728rfsv1OMvTQ2EfHq//Lk4vGlPny/SVP8hlSrkiZIk9s6pM2vFxPSHkv2+rUyVO52uZSjo0bPQGD+g3JtmOHXAucO3sO/fr3NUt6uXVg/0FVr7Vp2zrLYQqyq1u1MQRTZLc/5KlU2Qf6w2KEhoaqffO/2a+ov+VYun3rthoWSpsPbXtR6l7Zlz279lbHaLdOPfDLzysMPl/qczle5diVOkSO96enPaPiF/qioqJUm7Fpg+bqZ8ZTzyA4ODjD9zHmM41NKz3Zvpltd2nbakkd/fab76h4jXy+tFv+SBecNfY7G/NdpKf4I30fwW+/sm7NlIaKlUnjJmuqVKimeeuNtzX37t7T3L17VzN21DhN9849DZZbsugzjX+t+pq/1q7TBAcHazZu2KRpULeRZsE772ZI65WXX9XcuXNXExcXr16vVa22pnb1upq1a/7UhIaEanbu2KWpVbW2plnD5pq5r76huX/vvubG9RuaXt0e0Tzx2FSDz01ISFDpyI+kOfe1NzVN6jfThIWG6ZZpXK+p5tuvv8v076SkJN368nPt6jX1uU9Pe0a3/JRJT6g0N23crL7bmj/WqPxKPrWGDxmp6durv+bsmXOahw8eat6ZN1991x5deuW4jeX7r1i+Uv1/3Z9/a+rWrKf57pvvc1xvQJ+Bmv/NfsVs6XVs21kza+YLGlMkJyerbbNl09Ysl5F9NGrYaLVNtdv5j1Wr1faR/W2qnPaH5GnE0FGa/o8M0MTHx2tu3bylqV+noeb9dz9Q76empmqOHj6qPv/8ufMqP7KckPy0bdFOrXv61GlNwMMAtS8b+jfW5fXwocNq3U5tO2sO7D+ojrU/1/6lqVqxusF2kLzJ577w3IvqvLly5araDrLuG6+9qVvOmM80Nq2str/+Mb5+3XpNNd8aml9X/Kr7/Eb+TTRPPT5Nc/PGTfUj55m8Zup3Nua7aE17Yrpm3OgJJu9/ouJA6kY5p+Rck3onKChIM+el/6l6MzwsXLecnF9yvn7z1beawMBAdS52aNNJ1afp05owdqIqG+Q8T0lJ0fTr3V+9/uXnX6l1z5w+o2nRpJWq4x6bMEV9rpyj8v8uHbqpslErMTFRV2bIulKH1Kzip8pMLSlnX3p+dqZ/y+frlzty/ksdLnmStMXCBe+r+urnpcvVZ+zdvVfTrFELzTdffqNL89U5r2laNW2j2bdnn9pGP/3wk6Z6pZrqe+VEPktbPh4/dkJ9b0lP6ojsSDk7bNBws6UndZasa6qhA4eptlVWpP3y+itz1XbVbmfZx7JtDh44pPaBKYzZH3KMyjEk70dFRWm6tO+qvp9WRESE+nxpz2nzJGQbDRkwTNUPe3btUfty6Q9LVVtP8izCw9PWlfpiw/oN6piR+kbqPv3tIN9b2qBSB8rxLnWi7DNZd/SIMbrljPlMY9PKavvrH+OnTp5S7eB5c9/Sfb7smwF9B2nOnT2veXD/gebtN99Rx6+0FU35zsZ8F61PPvpU07pZW5P2PVFxsfr3NeqckvNO2qFyTn39xTeqHtWed+LqlWvq/JHrTLm+vXTxkipzpUyTdrN+Wr2799GcOH5SExMTo85FuVaS16U8lHXlOkPavXJtImW9fG5ISIgqC+r5NVD/15L19etFaZNLuSHXa1qv/e91zcC+gzP9W+pp/XInLjZO89jEx1W5HBAQqJaR8lfa53LdI9fQ8r17du2lyjatpT8uU9eH0paXa4wN/2xU5Y58r4sXLma7jeX7a8vH27fvqDJ0/JiJqk7IjtQlUtbptzXykp58P6mzTCX77ZnpM7N8X/bRsp9+VmW1/raWbSOv51Tnp2fM/vjx+5/Ud5HyXOpuuT6SZWJjY9X7ckxK20/S0OZHW8e/OOsldZzJ58i+lOvj+rUbaNauXqtLX9pR8n1kv0v9ceH8BXWsp98OU6c8qdqDx44eV8fT4k+WqO8tbQF9xnymsWlltv31t7ucY+1adVDxJ61pU2do2rZsr+pLaY/I9pPvJ8ezqd/ZmO8ipI6WckQ/xkRpGAAuZuQiUwogffv3HVAnsLaikYs5qUSk0alPKlypXOWCQJuWFF7pL0qkwHvz9XkGr8lJLgFJ/UpCGrtSOeWkaYPmKihoTABYnzTEpdKRBoD2okUbKJSApT65CNRWxnKhJctIA1+fNBhMCQB/tvhz1QjYvGmLxhhSWH3x2ZdmSy83AeB9e/erfa/dXlmRin3mjGd1f0sBLdssOjrapM8zZn8IOTabN26pmf3Cy5o+Pfupizv9Clsu1CQdueDTJ8ewBDnkZoKWHINyDmgDyNpg6NbNhkFv+Xz9YOyHCz/StGzaWteQFHIBKOnrL2fMZxqbVk7ke8v+0r8xI2nLOaFtZAjZL9JI+/D9j0z6zsZ8Fy3Jg1zMEpVEcvzXqeFvcN7JRaKcZxLg0ZLyS26W6JObXbLcyRMndWlJXZu+USoXomNGjjV4TS5Ia1SupYmMjNS9pq3D5MIkO1KOvjv/PaMCwPqk7J04dpJqrGvbDfJdpayY//YCg2Wl7pKbT1LWSYNd8qpfnwtpvJsSAJYLbCn39AOZ2Rncf6jmuadnmS293ASA5YJGLjTS11HpSX6kraElF+6ybeSCyxTG7A8hN0vlu8ixIDcNpU0nbSct7UWybKP0F07y+u5duw1en/7k07oAsjYYKm0XfXJM6QdjJVAix4XUgVrSDpWgp/5yxnymsWnlRG78t2neVgVitG1cSVsu+qUDgz45p+XC2JTvbMx30dIGrXIKnhAVR9rjP30QU4JO+td+UsbLNZ/+daa0XSVg9OvK3wzSSl+eyrWSBJf0ryukU4UsK4FiLamT5bUd23dmm2cJQk8e/5hRAeD0pE6Xa70zZ87qXpO2tdS5+uQ7SJ0iwWohAWP9+lzITSdTAsDyXWW7SmckY4KiL784R5V/5kovNwFg2d9yfZi+jkpP6j45FvTJttF2sDKFMftDzHjqaVWnyo1CucaXm/Tpr9M/+uBjg9fkRobkSzoJ6Fv08WK1vJYcr/rX4ULOB/1g7OVLl1VacvNX36PDRxssZ8xnGptWTuQGx6B+Q9TNVG27VZt2+vjGszOeUwFeU76zsdtPSOBelj165JjR+S8pOAREMVSzZk2Dv0uX9lS/w8PSHuO8deu2GjOvRUvDMWBbtGqhHteXsWq16tStA2vrjIdJzVqGn1HKwwPVqlc1GJy9lKcHoiKjDIaVkMc4xo+ZqB6nkGEg5BEBeWzi7p17Jn1HyefUx55ESnIyvvn+azg6OqjXjx87ofIgQxzok/Fuz587r8aSlUcgXVxc4F+vrsEyzVs0M/rz5ZEgeaxj5e+/oEfP7jkuL58rjwC7urqaJb3c2rxxMzp36aTbXvnNmP0hfHy8seizT7Hyl18RGBiIRZ9/kuUQFenTl/3o61tR95p8ngxZcPr0GYNla/nVynBehIeF6/6+II/GNmpoMM5VufLlUKmSr8mfaWxaOT2uPHnCFLXtZs/5b/gHSbt+w/pwcnLSvaaOZ39/XLxwyaTvbMr2c3NzU8O8EJVUFX0rGpx38vi2CPv3nJLy7MqVK6ou1acdb13qHq0KFcrDw9Mjx7rVw8NDlY9y/v33WimDzxUyC7g8ridDMMlj/2mPlx7K1fALr855HcePn8BPP/+gPlucOX1WjcPXs6fh+LbSjggPD8ft23dw5fJVNWFIsxbNDZaR8sRYW7dsU9/j/Y8WYsrUKUatI4+furq5mi293NiyaauaMLNmzRooCMbsDyFj4H3+1WdqSCLZFp9/tQSlSrnnmL7UDTJJWbv27Qxeb9mqOc6cyr5u9SztaXBsynEv547UgVp2dnZo1KShyZ9pbFrZkbbYxHGT4V3WB4s//1TXxpW0fcr6oGq1qgbLt2jZHBfPXzTpO5uy/bTndm6HISMqDjK2V0tnaKNLXaJ/nSlt1woVK2Q4P+vV98+QvpTP+tcVct0q9Ifl09bJ2utlIUMayPA9MoxaPb8Gqm5d9tPPuHvX9LpVho6R4Qo++2oJ6tevpxuG7d69++iRbuz4Jk0bw9bOVg03INfJMjxN8+bNMpRNxrpy5SpGDXsUo8c+qsb+N+YaKzIi67o1N+nlxvGjx1Ud36lLJxQEY/aH1rvvL4C1lRW++epbLFg4H9VrZD/Eozhx/IT6nX6uAGk33rp5y+A6q1a69mBm54Rolu64aJ7uuDDmM41NKzvSBn5mxrNqG/6w9Dtd3aZNu2UmcacbN24aDMmV03c2Zfu5u6d9fiTr1gxsM75Els4qk4Ct0I4Lp/k36JY+sGtjk/a3/myiWQ36nllQ2Noq+8+9cf0GJoydiKlPPoG33nkTZbzKwNbWDl07dEVSsvGziUp6Mk7i1StXsPqvP1TDW0sGW5f3ZdwYg3VSNepiKTgoWAWkM5tFNLPvlJWmzZqoCz4ZY69BwwY5Li9pS5Auq9koTU0vLwHg2f/7L5iY34zZH3LBpS3UZTvFxsSqAtzbOy3wkB25ASAXwtIgM3w9JUNFnNl5ocF/Y1fKJDhSuaeXfj1jPtPYtLIilZ1coNaoWQMffPy+wfEq529mx6qcv+lnAs7pO5uy/WKiY3SVKVFJlFUdoT2n1FNVqRpYWxvWL1ZW1uocTk3979yzd8j8JlxmdVNOdbo0nkePHIv27dvhux+/Qbny5VXgT8YolVm3TfHZos/wx+9/YNkvSw2C0VJWiEdHjAEymYT7wf37ujZA+u9vSt0qjX/5LBnLUW5+yffIiVxkREfHmC293JBxJHv17omCYsz+0AajL128rBsjNygo5/H8hATyZZ06NQ0DKXJ8y3v6dY1cAKenPy50SmpKpsukbzMa85nGppXd93rqiemqLbZsxU8GN3Qk/czSkeM3/QS0OX1nY76L9ryIiUkbH9zdPefAPFFxlVk9oX9OyRwa6esWYZPJ+ZlZOZ/Zull/7n//lzHjpT3/yZJPUKVKZTg5O+PDhR9i29btMIXMbfLWG29j/ntvq444Wsn/dpKSMcrfeP1Ng3VkbPv79x/oOlKlz6spdauPjw/Kly+HbVu2Y8Kk8Wpej5y4ubupTmPmSi+3dWuHDu3VNXRBMGZ/aMn403KDQPbDgwf/vZ6dlH8nheveJV17QfNf3a29SZvpNZzewSnXmtJmtMqhzWXMZxqbVnbmvfE2Duzbj99W/2owF4I27pQ+bV3cSW9+nJy+synbTzv3BuvWjBgALoGqVK0CB0cHFXBr3aaV7nX5W+7g1TDiDlZuSI8IMevF53QXuTK5zcN0E8XlZOG776tJX6S3bOUqlQ3ea9CgvvoOew/shnuptF5S+qTna+3afqpQkInx9C9wT544aXQeWrdpjYmTJ2Li2EnqzqTc/cypkKxeo5rq1Wmu9EwlkwXIxZ/MjGkqq8yuMI1gzP4QMhGCTIz00acfYM3qPzF96nSs/XuN7uJMbhToVyJa0hNWttdvq38zurGXFb86fvhrzV+qoaW9ky0Dz6ffZ8Z8prFpZUYmknnisanqHPn6u68y3ITxq+2nBrWX5bSNXJmY4ML5i2pGcVOYsv2kt4P0oCCizKn6s2Z1nDh2EuMnpk0Ao61bpAHrl66Hk7lcvXoVQYFBeOa5p3XnqDwlIz0amzZtYnQ6Msnjh+9/jE+WfIxWrQ1v2vnX81d10tJffkLjJo0zrGtvb6fyIMucPH4KFStWzNBjw9j2yVsL5mHsyHFqktivv/8qxws/uVl15/Zts6VnKilDD+4/iOdffM7kdTML+BvDmP0hZHLV5597AU9Nf1LVGTJZ4PpN61SvOWFra5Ph5oSQG9HS8+vAkX26+lefKe0TaXN9+9V3ajIZLy8v9ZrUjfKUiQRUTPlMY9PKikxYfPb0Wfzx5yrd+rp81vFDQECAuqjXbh9x4vhJk89dU7af9NL38vYy6OVPRMjQ9j15wnDSMwm+SW/N/KpbpW19/NhxfPHN52jcJG3CTJH+CbmcSBkyc/qzmDbjKYx8dKTBe/I0kJdXGcx87hkMH5WxDW9nZ6vaFtIT8sSJkwbXcNLWMJYExb767ktMmfgERgwZhZ9XLM1ywlL9unXjP5vMll5uyIR+05+ZhoJizP4Q8iS13Exs274tevbqjv/NflV15tJ/4snW1lbd9NNXv0FaJ69/Nq+Hr2/Gp0IdHDLveJcZv9q1VdtSru9btmppcLyZ+pnSBjAmrax88+W3WL50uer5W9e/boZzV5tWp84dDdL2reSrnpYxlinbTyaMlfZN1eqGT/UQwCEgSiAJKD0x9XF89fnXauZxuVCUANyiT5Zg3ISxmT6Wag5yYSp3z9b8sVY12G/euImnp8/M0GsxO7+u+BVff/ENFn3+KRo1/q8y1mrXoZ0Kaj//3Iu4dfOmKqhjY2OwY9t2NYOnkMJaZuqWWSbl4kgK8cWfLMGpk6dN+j7SGPj1jxXqLvAz059VPVqz06ZtG10Q3BzpmUqC5m3atcnVnTBX17QL5nt37xnMciuz5mbHmP0hM47LLJ8SvBw0ZBA+WfSRGjrklZdfM6iQ5YJJGj/6Jj82Sd2N/fjDjxERHq4ueuXC8OelPxvMzmqMCRPHIzQ0DG+9+Y66oJeG5UuzZqvzw9TPNDatzLzw3IvqkZgff/4h00d1Jz42UfX4k7vT0lM4LDQMr855VV3cy3umMGX7ybHbtl0bk9InKmmmPz0d6/76G7//9oe6eJShGd547Q1V/jczYZghU0iwSm7qymdKOSBl6uznX1Y3WI0ls6u/9PzLePHlFzBgYP8M78sj9+MnjcfcV+fi7Jkz6gZRcnISjh05qspvKZ/LliurynCZxfns2XMqL3+u+RN/rvnLpO8jweNVa39TZejYUeMREZ79o/EyM7h2SARzpGeqHdt2qN5PMuyPqVwyqVtX/fq7eipDZhDPijH7Q+obuZkqQ3nJjfeXX5mtLuinP/m0blvJBWq5cuXUEBH6bbG+/fugUqVKmP3CHNWjRuoGqcv++fsffPT+RyZ9xz79+qj8yjEpdaGkI7OBpx+exJjPNDatzMgwW3/9uQ7f/PBVpo/qyozhVatWwYuzXlJBYGkbSo94uYEz7WnTAhCmbL9jR4+zbiXKgdzEkpuaH33wserEI4+Zy7kqwxQNGTo4X7afdFKRIWfW/fk3oqKi1M/HH36CQwcOGZ2GXGdOmfg4+vR9BM+/NCvD+1JWP//S8/j040XYu3uv6uksLl28iNkvzNbV41OnPYEfvvsRO3fsUmX7/n0H8MVnX5r0fWQYQrm2qFatKoYNHqGuw3OqW2VIIf2hIfOSnqkunL+gyvbuPQyHETSW5E/Kci25gSB169bN27Jcx9j9ITcT4+Pj8eHH72PEqBEYPHQQZjz5jOrsoyXBTRkyQr9tIsOT9O3fV9Vh8iSz3IRNiI/H/r378PKLL5t0U1iG8OvQqQPmvvqm2kdybbj0x6XYtWOXwXLGfKaxaWXVS3vBO++qYTDad2yf4X0JCHfr3hXz5r6l9qlqG679C6t/X4OnZ043+vsa+120jh09pm7s5lfvdEvGAHAJNXPWMyrYO2vmC6hdvS6mPTEdg4cMwpxXX863z5Q7Y6/OfUUVErWq1laVRYsWzVWD21hbt2xXFynTn5yhCnHtT7tWHdT7cuJ/9+O3qN+gHiaNm6w+p2eXXmpohfETx+qWkbu5zi4uakynJg2a4ezZsyb3nhS169TGqtW/qjtmT0yeajCOTXpDhw9RBZ+MUWOO9MSaP9YYbAf5aVK/WZaPH+X2EdWmzZqq/fRIj75qHGchDSEX5+x7UuW0P2Rfyl1xGe5h7rzX1ToypMfiLxZj3Z/r1JjAQm5KyMXrwvkLVRoyhrSQ4SPWrFutKvgeXXvBr1odPDp8tBora8CgjEGM7MhFpTw+vX/vfjTyb4IeXXqq/VHv33G6tIz5TGPTyow8ThUaEoquHbsZ7Fdp6KrP9/HGshVLce3qNbRo0gotm7ZWx5S8ph2v01jGbj8JDjy4/wCDhg4yKX2ikqb/wH548+03sPjTJfCvVQ+D+w9F3bp18dlXi/PtM6Vn0KdLPsHf69bDv1Z9dO3YHTa2NuiQSUM8K7t3pt0Mlovb9HWK3GQSr7/xquq9JEEtGWe4bcv2+PLzrzBp8gRdOvPeeUONUzh04DA1XuLPS5fjyWlTTf5O0jtz5e8r1MXYyGGjVLAvK7379FI9pHZs32mW9MTZM+cybAf5kR4l6UkPqZ69e+SqN68Ep1u1aYVnps9U40oKCW6kpqRmOfaiVk77Qx43lrJ98Wefqu0jwd4lXyxS9YXcwNWl8+ar+Gf9BtUWlO8oNxCko8CKVb+onlAjho5CzSp+6P/IAOzft1+N+WgKSev7n75VAdDWzdqo+luGeXqkT+8My+X0mcamlRkZAzkpMUkNl6K/Twf2G6xL+6flP6onj7p07Ib6tRuqmznSXpT2q6nf2ZjtJ3nft28/hg4falL6RCWNBJG+/eFrFbyTdnXHdp0hRa60fR2dHPPtc5d8sViVmXJt1bJJazWG97ARxp+v8gSMBAWlfk5fn0jnK/HomFGY986bWPzpYjSo0wjNGjZXgbiu3bvqxjt/fOoUjB0/Rt3gq1PDX3UCmWFi8Ewb1P7y2y/U+MFyHS7Xpdk9ySABtA3rN5glPSEdwTKrWzOrvyWwKOPaa+dbMNXAwQOwZNFneP2Vuerv2JgY9fmlPLLvCJXT/pC6esP6jfjsy8Uo9e+cDG+9Mw8enqXw7IzndDdTn3v+Wdy7d083drQE7cUniz9SPWGlB7HUu53bd8UvP6/AhEn/taWMJWlVrlIJvbs/gob+jVWcZFImnYGM+Uxj08rsJrh85/+9/IrBPpX2qNZHiz5S9ajUh3L8vv/uByrmJMHz3HxnY7bfpn82Yegw1q2ZsZKZ4DJ9hyyS9i6TTIqhJbs4ISFRdYvP7AJF/zH1nNIScudGLiT018lsWSkMEhOTMp1wTH/8M7nolP9Lmpmlr/+3fE5KSsYew/K1MhvzSf9zMqP/vnZctqzGPc7u+8s2TEpKVr08svu8CWMnoU7d2pjzyst5Tk+2W/rHNrPaFjLcRY8uvXDo+EGjgoRZ7Xv97dW7ex/0H9AX058xvgGSfn9oj03tI07pv59Ivz9kP8n2MXZ/Z3X8Z/Ud058T6Y9PYz4zt2lpj4fMSmUZKyl9XrXFd/rzOjffObvvIne6JSix+PNFWeabqDjLqn6QXr5ZldNZ1a1ZpZVZ+SBpyPL65V12dbr+OZz+fE+fvv7f8hnJyf9N2Kovpzo8M/plU3ZtgZy+v3bdzOoIfRLQlN7WPyz7Ps/pZdXOEOm3uez/pg2aqcCEPF2Uk6z2vf72nDnjWbX9ZGJUY2W2P6Qu0QZ+038/WT59Haptd5iyvzM7/rNrS6Vvc8n3NLU+yk1a2bWZpPd0TnnNy3fOLi3p0SdPtm3Y8k+uhwMhsmRZ1Q/ZtZezOp+ySsuUa9Ss6vTsrhez+1v7OZnJ7HOyatdnlpecru+z+/7a75rZtYU+ebJo0SeLsX33Vt2+yG162bUzMtsWcp0pnbOMCUJm1lbSvq6t6z9b/Lnqzb1x6z8wVmb7I6vrU20dmn5/aI+BnI4rfZnFBmRZ2faZXf/q5zOrbZHTZ+Ymrez2a1axmazaxqZ+5+y+i3TAemrqdOzev8uoiW9LGgaAiQrQ5UuXMXTQcFWRGjPJmbnkVICaSnrftGvZHnsP7tHd/aTiSR5D7turHzZs3aBmXCYiKmqkJ2XXDt3wzQ9fm9xbMy+0F+A5BbdNIU80ffXtF6jf4L/eM1T8yCRxndp1UcNeGXPzgIiooMn148C+gzBm3BiMGm04fnF+k4CgBJPNNSeOPInaf2B/DBmWP0OGUNExbNBwNVSEMTcPSiIGgIkKmNw5lDtc5p7krSDJRa8ElHPqLU2WT+7Uyg/3NREVZVInSb2aXU9hS6A/wScVX9KOkvYg9zURFWXGPGFhCaS8le/Apy2KP+mNnlPP+JKMAWAiIiIiIiIiIiKiYspyuyASERERERERERERUbYYACYiIiIiIiIiIiIqphgAJiIiIiIiIiIiIkLx9H8wK9EIMKNt7gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1430x462 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def kp_bands_extended(m=M, emax=1.1, npts=40000):\n",
    "    \"\"\"Energies and extended-zone k L/π from cos kL = f(E): band j in [j-1, j].\"\"\"\n",
    "    Eg = np.linspace(1e-4, emax, npts)\n",
    "    fg = kp_f(Eg, m=m)\n",
    "    ok = np.abs(fg) <= 1\n",
    "    kred = np.arccos(np.clip(fg, -1, 1)) / np.pi  # 0..1 within each band\n",
    "    band = np.cumsum(np.r_[0, np.diff(ok.astype(int)) == 1]) - (0 if ok[0] else 1)\n",
    "    kext = np.where(band % 2 == 0, band + kred, band + 1 - kred)\n",
    "    return Eg[ok], kext[ok]\n",
    "\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(13, 4.2))\n",
    "for ax, (m, Nb, label) in zip(\n",
    "    axes, ((M, 30, \"GaAs, 30 barriers\"), (M, 80, \"GaAs, 80 barriers\"), (0.023, 30, \"InAs, 30 barriers\"))\n",
    "):\n",
    "    emax = 1.15 if m < 0.05 else 0.39\n",
    "    Ep, kp = kp_bands_extended(m=m)\n",
    "    ax.plot(\n",
    "        kp,\n",
    "        Ep,\n",
    "        \"o\",\n",
    "        ms=2.5,\n",
    "        mfc=\"none\",\n",
    "        color=style.REFERENCE,\n",
    "        alpha=0.4,\n",
    "        markevery=max(1, len(Ep) // 70),\n",
    "        label=\"periodic (Kronig–Penney)\",\n",
    "    )\n",
    "    if m == M:\n",
    "        peaks = results[Nb]  # computed above, band by band\n",
    "    else:\n",
    "        dev_h = superlattice(Nb, m=m).hamiltonian\n",
    "        nb = len(kp_edges(m=m, emax=emax))\n",
    "        peaks = [\n",
    "            peak_energies(nemo.Transport(dev_h).transmission(g), g)\n",
    "            for g in (band_grid(lo, hi, n=6000) for lo, hi in nemo_edges(m=m, nb=nb))\n",
    "        ]\n",
    "    for bnd, e in enumerate(peaks):\n",
    "        # the j-th peak from the bottom of band bnd + 1 sits at |k| L/π = bnd + j/Nb (extended zone)\n",
    "        ax.plot(\n",
    "            bnd + np.arange(1, len(e) + 1) / Nb,\n",
    "            e,\n",
    "            \"-\",\n",
    "            lw=1.0,\n",
    "            color=style.OPEN_NEMO,\n",
    "            label=\"open-nemo transmission peaks\" if bnd == 0 else None,\n",
    "        )\n",
    "    print(f\"{label}: open-nemo peaks per band = {[len(e) for e in peaks]} (expected {Nb - 1})\")\n",
    "    ax.axhline(U0, color=style.CONTEXT, lw=0.6, ls=\":\")\n",
    "    ax.set(\n",
    "        xlabel=\"normalized k (k L / π, extended zone)\",\n",
    "        ylabel=\"energy (eV)\",\n",
    "        xlim=(0, len(peaks)),\n",
    "        ylim=(0, emax),\n",
    "        title=label,\n",
    "    )\n",
    "    ax.legend(frameon=False, fontsize=7, loc=\"upper left\")\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89c3a05d",
   "metadata": {},
   "source": [
    "For GaAs with 30 and with 80 barriers, and for InAs (effective mass $0.023\\,m_0$) with 30 barriers,\n",
    "the transmission resonances of the finite structures lie on the bands of the periodic model, as in\n",
    "the lecture's slides 6 to 8. Going from 30 to 80 barriers only \"fills in more dots onto this\n",
    "quasi-continuous line\". With the lighter InAs mass the bands move up and widen: the first band\n",
    "spans 0.084 to 0.265 eV, and the second (0.432 to 1.056 eV) lies entirely above the barrier top and\n",
    "is more than 0.6 eV wide, as on slide 8.\n",
    "\n",
    "![Slide 8: InAs, 30 barriers](attachment:slide_008.png)\n",
    "\n",
    "*Slide 8: the same comparison for InAs wells; the lighter mass gives higher and wider bands.*\n",
    "\n",
    "The two pictures, a finite stack probed by transmission and an infinite crystal described by\n",
    "Bloch's theorem, are different approximations to a large but finite solid. Each needs an\n",
    "artificial number, the number of barriers or the number of cells in the ring, and both converge to\n",
    "the same bands.\n",
    "\n",
    "## 5. Exploration: weak barriers and the origin of the gaps\n",
    "\n",
    "For a weak periodic potential the gaps can be estimated without solving the Kronig–Penney\n",
    "equation. A free electron with $k = j\\pi/L$ and one with $k = -j\\pi/L$ have the same energy, and\n",
    "the Fourier component $U_j$ of the potential with wave number $2\\pi j/L$ couples them; the\n",
    "degeneracy splits into a gap of width $2|U_j|$ (the nearly-free-electron result). For barriers of\n",
    "width $b$ in a period $L$,\n",
    "\n",
    "$$|U_j| = \\frac{1}{L}\\left|\\int_{\\mathrm{cell}} U(x)e^{-i2\\pi jx/L}dx\\right| = \\frac{U_0}{j\\pi}\\left|\\sin\\frac{j\\pi b}{L}\\right|.$$\n",
    "\n",
    "With $b/L = 1/4$ the fourth gap should vanish. The gaps from the Kronig–Penney equation are\n",
    "compared with $2|U_j|$ for $U_0 = 0.02$ eV."
   ],
   "attachments": {
    "slide_008.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bb928a49",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:23:45.011783Z",
     "iopub.status.busy": "2026-10-24T22:23:45.011695Z",
     "iopub.status.idle": "2026-10-24T22:23:45.039018Z",
     "shell.execute_reply": "2026-10-24T22:23:45.038584Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "U0 = 20 meV, a = 6.0 nm, b = 2.0 nm\n",
      "  gap j   centre (eV)   width Kronig–Penney (meV)   2|U_j| (meV)\n",
      "    1        0.0926             8.915                9.003\n",
      "    2        0.3558             6.460                6.366\n",
      "    3        0.7943             3.095                3.001\n",
      "    4        1.4081             0.055                0.000\n",
      "    5        2.1973             1.785                1.801\n"
     ]
    }
   ],
   "source": [
    "U_weak = 0.02\n",
    "Ew = np.linspace(1e-4, 2.6, 520000)\n",
    "fw = kp_f(Ew, U=U_weak)\n",
    "ok = np.abs(fw) <= 1\n",
    "starts = np.nonzero(np.diff(ok.astype(int)) == -1)[0]  # band top: allowed → forbidden\n",
    "ends = np.nonzero(np.diff(ok.astype(int)) == 1)[0]  # band bottom: forbidden → allowed\n",
    "ends = ends[ends > starts[0]]  # pair each band top with the next band bottom\n",
    "print(f\"U0 = {1e3 * U_weak:.0f} meV, a = {A} nm, b = {B} nm\")\n",
    "print(\"  gap j   centre (eV)   width Kronig–Penney (meV)   2|U_j| (meV)\")\n",
    "for j in range(1, 6):\n",
    "    if j - 1 < len(starts) and j - 1 < len(ends):\n",
    "        lo, hi = Ew[starts[j - 1]], Ew[ends[j - 1] + 1]\n",
    "        width = hi - lo\n",
    "    else:\n",
    "        lo = hi = np.nan\n",
    "        width = 0.0\n",
    "    est = 2 * U_weak / (j * np.pi) * abs(np.sin(j * np.pi * B / L))\n",
    "    print(f\"    {j}      {0.5 * (lo + hi):8.4f}          {1e3 * width:8.3f}              {1e3 * est:7.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1840e59",
   "metadata": {},
   "source": [
    "The first three gaps agree with $2|U_j|$ to within a few per cent, and the fourth gap, where\n",
    "$\\sin(4\\pi b/L) = 0$, almost disappears: 0.055 meV instead of several meV, a remainder of second\n",
    "order in $U_0$ that the first-order estimate ignores. The fifth gap is again open. The\n",
    "gaps are a Bragg effect of the periodic potential, set by its Fourier components, not by the\n",
    "barriers' ability to confine. (For stronger barriers, such as the 0.4 eV of the main example, this\n",
    "estimate no longer holds and the full equation is needed.)\n",
    "\n",
    "## Summary\n",
    "\n",
    "- $\\cos kL = f(\\xi)$ is solved graphically by intersecting $N$ flat lines with the damped\n",
    "  oscillation $f(\\xi)$; intersections exist only where $|f| \\le 1$, giving bands and gaps.\n",
    "- Plotting each intersection at its $k$ gives the band diagram $E(k)$, in the reduced zone\n",
    "  $[-\\pi/L, \\pi/L]$ or the extended zone; gaps open at $k = j\\pi/L$.\n",
    "- The $k$ spacing is $2\\pi/(NL)$, and every band holds exactly $N$ states.\n",
    "- Finite superlattices of 30 or 80 barriers, computed by transmission (open-nemo or transfer\n",
    "  matrices), have resonances that lie on the periodic bands at $q_jL = j\\pi/N_b$.\n",
    "- For weak barriers the gap $j$ is $2|U_j|$, twice the Fourier component of the potential.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Repeat the graphical solution with $N = 5$. How many intersections does each band have, and\n",
    "   which line is not doubly counted?\n",
    "2. Change the barrier width to $b = 4$ nm (period 10 nm) and predict which gap vanishes for weak\n",
    "   barriers. Check with the code of Section 5.\n",
    "3. Plot the ratio of the first band width to the first gap width as a function of $U_0$ between\n",
    "   0.05 and 1 eV. At which $U_0$ is the band narrower than 1 meV?\n",
    "4. In Section 4, count how many of the 80-barrier transmission peaks of open-nemo lie within\n",
    "   0.1 meV of the Kronig–Penney band computed at $q_jL = j\\pi/80$.\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 7.1: problem formulation](07_1_bandstructure_problem_formulation.ipynb) and\n",
    "  [Lecture 7.3: band properties](07_3_band_properties.ipynb).\n",
    "- [Lecture 6.4: N barriers and the formation of bands](06_4_n_barriers_and_bands.ipynb).\n",
    "- [Benchmark: the Periodic Potential Lab](../../book/15_benchmarks/15_05_nanohub_tools/15_05_01_band_structures_and_barriers/15_05_01_05_periodic_potential_lab.ipynb)\n",
    "  and [Superlattice minibands](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_05_superlattice_minibands.ipynb).\n",
    "- D. Mejia and G. Klimeck, \"Periodic Potential Lab – Kronig Penney Model\" (2019),\n",
    "  [nanoHUB](https://nanohub.org/resources/kronigpenneylab), DOI [10.21981/TT2Y-A185](https://doi.org/10.21981/TT2Y-A185)."
   ]
  }
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