{ "cells": [ { "cell_type": "markdown", "id": "6ef6a8d6", "metadata": {}, "source": [ "# Artificial Scattering for Ray Effect Mitigation\n", "\n", "Discrete ordinates (S$_N$) only transports particles along a finite set of\n", "directions. Around a localized source in a weakly scattering medium, the flux\n", "streams out along those directions and leaves unphysical streaks between them.\n", "These are called *ray effects*.\n", "\n", "ANTS can reduce ray effects with artificial scattering (as-S$_N$), following\n", "Frank, Kusch, Camminady & Hauck (2020), \"Ray Effect Mitigation for the Discrete\n", "Ordinates Method Using Artificial Scattering\", *Nuclear Science and\n", "Engineering*. A forward-peaked scattering term is added to the transport\n", "equation:\n", "\n", "$$\n", "\\Omega_q \\cdot \\nabla \\psi_q + (\\sigma_t + \\sigma_{as})\\, \\psi_q\n", " = \\sigma_s \\phi + \\sum_p M_{as}[q, p]\\, \\psi_p + q_\\text{ext}\n", "$$\n", "\n", "Each row of $M_{as}$ sums to $\\sigma_{as}$, so the added out-scattering and\n", "in-scattering balance and particles are conserved. The kernel only couples\n", "nearby ordinates, which smears flux into the gaps between directions.\n", "\n", "Artificial scattering is enabled through two `SolverData` fields:\n", "\n", "* `sigma_as`: the artificial scattering strength (default `0.0`, disabled)\n", "* `beta_as`: the kernel width (default `4.5`; larger is wider)\n", "\n", "This example solves the same problem three ways:\n", "\n", "1. standard S$_N$ with a coarse quadrature,\n", "2. as-S$_N$ with the same coarse quadrature, and\n", "3. a fine quadrature as the reference." ] }, { "cell_type": "code", "execution_count": 1, "id": "55e28334", "metadata": { "execution": { "iopub.execute_input": "2026-11-07T00:44:06.305719Z", "iopub.status.busy": "2026-11-07T00:44:06.305358Z", "iopub.status.idle": "2026-11-07T00:44:06.887514Z", "shell.execute_reply": "2026-11-07T00:44:06.887134Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from matplotlib.colors import LogNorm\n", "from scipy.interpolate import RegularGridInterpolator\n", "\n", "import ants\n", "from ants.datatypes import (\n", " GeometryData,\n", " MaterialData,\n", " SolverData,\n", " SourceData,\n", " SpatialDiscretization,\n", ")\n", "from ants.fixed2d import fixed_source" ] }, { "cell_type": "markdown", "id": "b88b09b1", "metadata": {}, "source": [ "## Problem setup\n", "\n", "A 6 cm x 6 cm pure absorber ($\\sigma_t = 1$ cm$^{-1}$, no scattering) with a\n", "small isotropic source at the center and vacuum boundaries. With no physical\n", "scattering to redistribute particles, this is a worst case for ray effects.\n", "\n", "Step differencing is used because it keeps the flux positive near the\n", "localized source, which is needed for the log-scale plots below." ] }, { "cell_type": "code", "execution_count": 2, "id": "affaafd4", "metadata": { "execution": { "iopub.execute_input": "2026-11-07T00:44:06.889077Z", "iopub.status.busy": "2026-11-07T00:44:06.888950Z", "iopub.status.idle": "2026-11-07T00:44:06.892557Z", "shell.execute_reply": "2026-11-07T00:44:06.892097Z" } }, "outputs": [], "source": [ "cells = 100\n", "length = 6.0\n", "delta = np.repeat(length / cells, cells)\n", "centers = (np.arange(cells) + 0.5) * delta[0]\n", "\n", "mat_data = MaterialData(\n", " total=np.array([[1.0]]),\n", " scatter=np.array([[[0.0]]]),\n", " fission=np.array([[[0.0]]]),\n", ")\n", "\n", "# Isotropic source in the central 4 x 4 cells (0.24 cm x 0.24 cm)\n", "external = np.zeros((cells, cells, 1, 1))\n", "middle = slice(cells // 2 - 2, cells // 2 + 2)\n", "external[middle, middle] = 1.0\n", "\n", "sources = SourceData(\n", " external=external,\n", " boundary_x=np.zeros((2, 1, 1, 1)),\n", " boundary_y=np.zeros((2, 1, 1, 1)),\n", ")\n", "\n", "geometry = GeometryData(\n", " medium_map=np.zeros((cells, cells), dtype=np.int32),\n", " delta_x=delta,\n", " delta_y=delta,\n", " bc_x=[0, 0],\n", " bc_y=[0, 0],\n", " geometry=3, # 2D slab\n", " space_disc=SpatialDiscretization.STEP,\n", ")\n", "\n", "\n", "def solve(angles, sigma_as=0.0, beta_as=4.5):\n", " \"\"\"Return the scalar flux for a quadrature with angles per dimension.\"\"\"\n", " quadrature = ants.angular_xy(angles)\n", " # The lagged artificial scattering source needs more than the default\n", " # 100 iterations for the larger values of sigma_as below\n", " solver = SolverData(sigma_as=sigma_as, beta_as=beta_as, max_iter_angular=1000)\n", " flux = fixed_source(mat_data, sources, geometry, quadrature, solver)\n", " return flux[..., 0]" ] }, { "cell_type": "markdown", "id": "6c4f25c7", "metadata": {}, "source": [ "## Solving with and without artificial scattering\n", "\n", "`angular_xy(4)` gives 16 directions, which is coarse enough to show strong ray\n", "effects. The reference uses `angular_xy(32)` (1024 directions). At that\n", "resolution the flux changes by less than 0.2% from `angular_xy(24)`." ] }, { "cell_type": "code", "execution_count": 3, "id": "5cebecb9", "metadata": { "execution": { "iopub.execute_input": "2026-11-07T00:44:06.893640Z", "iopub.status.busy": "2026-11-07T00:44:06.893574Z", "iopub.status.idle": "2026-11-07T00:44:08.601870Z", "shell.execute_reply": "2026-11-07T00:44:08.601458Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Standard SN relative L2 error: 0.117\n", "as-SN relative L2 error: 0.082\n" ] } ], "source": [ "coarse = 4\n", "sigma_as = 7.5\n", "\n", "flux_ref = solve(32)\n", "flux_sn = solve(coarse)\n", "flux_as = solve(coarse, sigma_as=sigma_as)\n", "\n", "\n", "def rel_error(flux):\n", " return np.linalg.norm(flux - flux_ref) / np.linalg.norm(flux_ref)\n", "\n", "\n", "print(f\"Standard SN relative L2 error: {rel_error(flux_sn):.3f}\")\n", "print(f\"as-SN relative L2 error: {rel_error(flux_as):.3f}\")" ] }, { "cell_type": "markdown", "id": "5875a4aa", "metadata": {}, "source": [ "The flux falls off by several orders of magnitude from the source, so it\n", "is plotted on a log scale. All three panels share one color scale." ] }, { "cell_type": "code", "execution_count": 4, "id": "9fdf3735", "metadata": { "execution": { "iopub.execute_input": "2026-11-07T00:44:08.603264Z", "iopub.status.busy": "2026-11-07T00:44:08.603174Z", "iopub.status.idle": "2026-11-07T00:44:08.921058Z", "shell.execute_reply": "2026-11-07T00:44:08.920656Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "panels = [\n", " (flux_sn, f\"Standard: angular_xy({coarse})\"),\n", " (flux_as, f\"Artificial scattering: angular_xy({coarse}), $\\\\sigma_{{as}}$ = {sigma_as:g}\"),\n", " (flux_ref, \"Reference: angular_xy(32)\"),\n", "]\n", "norm = LogNorm(vmin=1e-4, vmax=flux_ref.max())\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4.6), constrained_layout=True)\n", "for ax, (flux, title) in zip(axes, panels):\n", " mesh = ax.pcolormesh(\n", " centers, centers, flux.T, norm=norm, cmap=\"Blues\", shading=\"auto\"\n", " )\n", " ax.set_title(title, fontsize=10)\n", " ax.set_xlabel(\"x (cm)\")\n", " ax.set_aspect(\"equal\")\n", "axes[0].set_ylabel(\"y (cm)\")\n", "fig.colorbar(mesh, ax=axes, label=\"Scalar flux\", shrink=0.9)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5545d0a0", "metadata": {}, "source": [ "With 16 directions the standard solution is a set of distinct beams with\n", "almost no flux between them. Artificial scattering spreads flux into those\n", "gaps. The beams are still visible at this strength, but the flux between\n", "them is much closer to the reference.\n", "\n", "A sharper test is the flux around a circle centered on the source. Without ray\n", "effects it should be close to the reference profile at every angle. The\n", "reference profile is not perfectly flat because the source is a square on a\n", "Cartesian grid." ] }, { "cell_type": "code", "execution_count": 5, "id": "c5e04048", "metadata": { "execution": { "iopub.execute_input": "2026-11-07T00:44:08.922394Z", "iopub.status.busy": "2026-11-07T00:44:08.922300Z", "iopub.status.idle": "2026-11-07T00:44:08.979561Z", "shell.execute_reply": "2026-11-07T00:44:08.979146Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Mean flux on the circle / reference: standard 0.99, as-SN 0.86\n", "Total flux / reference: as-SN 1.010\n" ] } ], "source": [ "radius = 2.0\n", "theta = np.linspace(0.0, 0.5 * np.pi, 361) # one quadrant, by symmetry\n", "\n", "\n", "def on_circle(flux):\n", " points = np.column_stack(\n", " [0.5 * length + radius * np.cos(theta), 0.5 * length + radius * np.sin(theta)]\n", " )\n", " return RegularGridInterpolator((centers, centers), flux)(points)\n", "\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4.2))\n", "ax.plot(np.degrees(theta), on_circle(flux_ref), color=\"#52514e\", lw=2,\n", " ls=\"--\", label=\"Reference: angular_xy(32)\")\n", "ax.plot(np.degrees(theta), on_circle(flux_sn), color=\"#2a78d6\", lw=2,\n", " label=f\"Standard: angular_xy({coarse})\")\n", "ax.plot(np.degrees(theta), on_circle(flux_as), color=\"#eb6834\", lw=2,\n", " label=f\"Artificial scattering: $\\\\sigma_{{as}}$ = {sigma_as:g}\")\n", "ax.set_xlabel(\"Angle around source (degrees)\")\n", "ax.set_ylabel(f\"Scalar flux at r = {radius:g} cm\")\n", "ax.set_xlim(0, 90)\n", "ax.set_xticks(np.arange(0, 91, 15))\n", "ax.grid(alpha=0.3)\n", "ax.spines[[\"top\", \"right\"]].set_visible(False)\n", "ax.legend(frameon=False, loc=\"upper center\", bbox_to_anchor=(0.5, -0.16), ncol=3)\n", "plt.show()\n", "\n", "ratio_sn = on_circle(flux_sn).mean() / on_circle(flux_ref).mean()\n", "ratio_as = on_circle(flux_as).mean() / on_circle(flux_ref).mean()\n", "total_as = flux_as.sum() / flux_ref.sum()\n", "print(f\"Mean flux on the circle / reference: standard {ratio_sn:.2f}, as-SN {ratio_as:.2f}\")\n", "print(f\"Total flux / reference: as-SN {total_as:.3f}\")" ] }, { "cell_type": "markdown", "id": "0d611922", "metadata": {}, "source": [ "Artificial scattering reduces the oscillation, but it also lowers the flux\n", "on the circle relative to the reference. This is a bias of the method in an\n", "absorber. Each artificial scattering event redirects a particle slightly, so\n", "the particle travels a longer path to reach the circle, and more particles\n", "are absorbed on the way. The total flux, which is proportional to total track\n", "length, is slightly higher than the reference for the same reason." ] }, { "cell_type": "markdown", "id": "d3007662", "metadata": {}, "source": [ "## Choosing $\\sigma_{as}$\n", "\n", "Artificial scattering trades ray effects for added smoothing. Too little\n", "leaves the beams in place. Too much over-smooths the solution and acts like\n", "a real scattering medium. The sweep below tracks two measures:\n", "\n", "* the coefficient of variation (CoV) of the flux on the circle above, which\n", " measures how strong the ray effects are, and\n", "* the relative L2 error against the reference over the whole domain.\n", "\n", "The sweep is run for the default kernel width, `beta_as = 4.5`, and for a\n", "kernel twice as wide, `beta_as = 9`. Larger `sigma_as` also needs more source\n", "iterations, because the artificial in-scattering term is lagged between\n", "iterations. This is why `solve` raises `max_iter_angular`, and ANTS warns if\n", "the iterations stop at the limit before converging." ] }, { "cell_type": "code", "execution_count": 6, "id": "fb0547a6", "metadata": { "execution": { "iopub.execute_input": "2026-11-07T00:44:08.980855Z", "iopub.status.busy": "2026-11-07T00:44:08.980765Z", "iopub.status.idle": "2026-11-07T00:44:44.556613Z", "shell.execute_reply": "2026-11-07T00:44:44.556232Z" } }, "outputs": [ { "data": { "image/png": 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kz9/XyQgV9ygVIRmQ8rxk4knmlfu10i+UIa/ltYG7HdyZm5LhlZGRoWoGl9Wfq8z7EFUXBruI/CAp1tKhkH/IkvZdekYWSZGWf+I33XST6jTJl3EJHHgXuJQOn3SuJAAkacWSTi8BsrK407xlqFnpNPLK1iXyZ1vuAuuVCUxJME8CMzIkUIKBEgiUzpMEfKStJBDmXUss0CT41rhxY5X+767dVd56QjpVFXEXjy09zFSGH5Qe2ifDN6UuxyuvvKJO4PJaGSZZHduWIKs3CVhJx7+yKtpOVY63qhwzonTHXLZTmW3IvkpAtfSxJan47s4nEREFhwxJki/b8r9dAlMyFM8dnJE+kd1uVxc9ZJiev2T4u/SdpBZnr1691PlMShVUtoj4hRdeqL5Uywy/Uktp2rRpqv8m+1fVffOXXOCSoIbsg9QsLU9l9qOsQFdZy6XPUbq/If1RCc6ULpRf3jbdpB8sQTa5WCeBD1lfgpBS+8xNyldIWQJvpR/7sx1/+jPui3ju/owEWqTfIqUb5KKY1AmVC6DV0R+t6H2lbyJ90LL6JqXrmZVWus1lW3KcuEs9uElwsqLPx9/XlfV+7u867gvWbqUfl9WXlOPVn35hZd6HqLow2EVUyQL1cpVIOlxycpYZ/KRjIsXnJSNGrpy5/6GXDojJ1R0JgEgmjFzBkhN/6WwWN6mnIJ0vec+TPUH7sy0JcMg6cpW0vOmLy7qiKQVFJbglJONNTrASDJTZYaqLdFqkjpQ36ZyVPjFK3Qr3FMxy5VTqepUVqJGTsNS3kKvPUturPO7C7PJ7ec9yI49LF213z/gkV56lNoLUUihdp6Oq266sqlx5rsrx5s8x4w85hiRQKp+dP4FceV+5SikBzRN1yomIKHgF6uWnnB+kzqJcEJJ+jwRZyrpgURE5r0pxdXf9I8nsKl0T059zn1ykkz6CBLmkHyAXl6T+l6jqvvnDXddS+o2SyVRewfJA7Yf0K6SP6k0yuiVIUdk+h2TlSPaUe8IAUfoinfSTS88KLdngld1OVUmASW5ynMhoCplMSNrfn2Okqtl70jeROqZyjFb0+fq7LQlEVvbzP5nXuT+30oGyyvbnhPQLpV5YoN6HqDJYoJ6okiRgJUW5JbjiDmLJiU2uXro9/fTTZb5WMr8kG0o6fXL1yXs4V+kMH8n+kqCRzFbiJum/ElCpDH+2JetIUU65+uW+8iK+//57z31JjZYhmm6SGeVd6FVmqZSUdXeQ70QF6ivTcZYOhPvqmVwNlKGK3mQonBQCleGDH374oQomuj+fskjxc0mznzBhgk+WlAxBlNdLcE2u/kra/WuvveYpfC7Ze9JmMpV46WwxCYjKdqU4akWF6UVltl1ZpT8nf1TlePPnmPGHXOGTK4XyZcid9i9XB0t/xm6ynxLkGjt2rOdqopC/K/fkCEREFHwSsJFzhGQySbBD+krSh5JznwSA3GS4vAQ/yiPZ8t59LHm9O4uksuc+yeSSDCK5MCczy0kfQ1R1305EygFIAXIJdEkfxT0BTnkCsR8S4JOyAzKiwE2K28vFNimmXhnyWUg7u8+/crGq9Ezjkq0lfRp3QX3pZ8nvU9ntVIVk7clQOiFtLdlj0reTm3s4Y0XHiT/rlEUuskr/SfqV3qQPJX2pypDvChLglYu2bjKsVWY4DMTr5MK9lOSQyYK8S1fI8FLp0/pLZt2UCSTkO5C7ZIgEHKVofXW+D1FlMNhFVEly1UeCGnJClYBJRESE+sctQQoZBiYp/BLoiY6OPu61EhCSq0sSKJKhbxWRoItcBZHOiMxqI6n7cpKoylUnf7Yl60hmjZysJDNJTkreVwIlcCXBLXlO7kt2lcyqJ0PHZIhmhw4dVOdTaiUImYFFsqdKZ7hVlgxfkA6fpIHLlSCZrUbey032QzKrJF1dTrISCJH09XfeeUfVdyqL1KeQDoh0rORKlASqpD3kvnQS3J1R6aBLB1vaTd5bti+dCQm4lCbLZeZByRyT7Z1IZbZdGaU/p9JXU6vzeDvRMeMPGVohf0vSGZMvHZKxJZ1v6ZiWt758dtKJlveVlH15nXz+cjWciIhCh5yf5dwg2c9C+k8S/JFzuvSHpJaRDNerqK8gF2KkLyDnJglQSYZ86expuXCyceNGtU0598mMdGWRUhNyrps6daqq4eWtKvsm5KKevKf3Tep2CnkPCXbINq688krP8xUNZazqfpRHsuvkIqtkOMnwSLlgKwEIaYPyLrqWR/opcpFOtinnfTlfuwOGbrL9J598Ul0Qk/6W9Nnc++7uX/mznaqQwJr0X6RPJX1y2Qfpo0vmutTLlQuNMsxWMrDKGoXgzzplkX2XGnAyu6f8TtI3kbpYEnySbVaGjDqQi6YSIJXjVY4B+RvyDvhW5+uE7LtkPrr7c/J3JqNPSg9b9Gc70i+X7wbS/vL+3nVmq+t9iPylkSr1fq9NVM9IvQmZBllOlqX/Ec+dO1fVpXLXVJDCo5K6K1k+kh4vz8vJu3SHTAqTSkHQ0oXIy+PerhSWlI6PXA3zrgEhV0S804FlfyUg0KlTp0ptyzuNXAJVErQrnd4uRSil0KYM3ZT3lKu2ctVSTmSSsiwnLXf6tqwrwUAJhElAsCz+7r8ULJUglGxH2ls6tPKvS67YydVK2SfpnHh32v7880/1s7wisO5OkbxW0vklSCUdlNJ1LeSq4/Lly1VnVjps5dWFkqtXctVUjgkpzOqPE21bjhEJmkrhfTfZXwkqVlTstPTnJBlP/m7Hn2PE32NGfjf5TOS4KO/3cZNhjLK+BLnkc/UepirZYjLhgXsosZD1JLgobSedKfdEEEREFBxSIFsCSXIu8CZ9BKmnKRdz3H0EuRAj5yY598o5wbtAdVnnJ/f6co6WkhGLFi1Sw6G8//dLNs6aNWtUUW55rTwu6zwn/Qm56CjBs9K1pE60b6XJ71ZWVrGc6+TLvlyYKZ2FJuTimpzrKlLRfsjvKVnopfsbcpFP+hJl9VUk80iCgNKXknOqd99M+lmSXVNRn837fC0XtiSAJUMRZT+kX1a6NIf0JaSPJoENeY3032Qf3LVTT7QdyUqSvrQEReRiVnn7KKVEpK/nLogv25VhlNIHkr6k1NJyk76j1HuTAJBkcclFvdJKryP77c/7uvdZXiu/k/wdyDFanhO1ubSVfM4SLJPP37tfJJlRkgEvQV4JHvn7OunjSR+xvIkd5HiTfrl8d5GgpXe/WiZOkL6hd1BS+mHu/rh3+8lxJhl28v7SL67M+xBVJwa7iGqQdHjkSo9kREkqPRERERFRXSJBPinIL8FNuRgoGX4ytFFuREQ1hWFUohpy9913q5O/ZKFIKjsRERERUV0jmTu33nqrygKSbCIpiSAzahIR1SRmdhHVYHq/XOGSegkcm05EREREdZUMp5MyBzIMU4aqse9LRDWNwS4iIiIiIiIiIqozOBsjERERERERERHVGQx2ERERERERERFRncFgFxERERERERER1Rm1ItjlcrmQl5enfhIRERER+11EREREtTrYlZ+fj7i4OPUzUJxOp5o1RH4S2zPU8Phke4YqHptsz1DG47Nq2O+qfXissz1DGY9Ptmco4/FZd9uzVgS7iIiIiIiIiIiI/MFgFxERERERERER1RkMdhERERERERERUZ2hD/YOEBEREdVXmZmZWL16tapN2qNHD+h0uhO+Zu/evdi8eTOSk5PRpUsXaLUl1y4LCgrwyy+/HPeaPn36ICkpqdr3n4iIiCgUMdhFREREFARTpkzB/fffj9NOOw379u1DfHw8fv75ZzRu3LjM9WWdW2+9FVu3bkWbNm2wadMmhIeH44cffkCHDh3UOvv378ell16KwYMHq+fc0tLSGOwiIiKieoPBLiIiIqIatm3bNtx555346KOPcO2118JisaBfv36466678P3335f5mpycHDzxxBMqS0s4HA6cf/75uO+++7Bw4UKfdT/88EM0bdq0Rn4XIiIiolDDml1ERERENeyrr75Cw4YNcc0116jHYWFhuOeeezB79mxkZ2eX+ZrOnTt7Al1Chjx27NhRBcFKW7VqlQqAyZBHIiIiokBzOR2wbV0FzfpF6qc8DiZmdhERERHVsHXr1qnglXe9rdNPP11la/33338+Qa3Sfv31VxUQW79+Pb777jt89tlnPs9rNBo89dRTaljkypUrMWTIEEydOhXR0dFlbk+yyuTmlpeXp346nU51CwTZrsvlCtj26xu2J9szlPH4ZHuGMh6f1cO69neYvn0drpwMSPXRfOmPxCcjauRYGE8/D9XNu/9UHga7iIiIiGpYbm4uGjRo4LPM/bisTC1vMsxxx44d+Pfff9G1a1e0bdvW85wUul+yZAnOPPNM9XjXrl3o3bs3HnvsMUyaNKnM7U2YMAHjx48vs3h+UVERAvXlQtpAAl7+dFiJ7VmTeHyyPUMZj0+2Z6jRbFoC7fQJxfe9ljtzMpA/5TE4rxgH16m9q/U9GzVqdMJ1GOwCYLfbsXHxMmTt24P0Zi3Qse+Z0OvZNERERBQYRqMRZrPZZ5nMpOge0lgRd9DKarXiyiuvxMUXX6wyxURqaqq6ubVq1Qp33HEHPvjgg3KDXePGjcPYsWN9MruaNWumCtrHxsYiUF/WJANN3oPBLrZnqOHxyfYMZTw+2Z6hxOV0IGfBR3CV8Zw78KVf+DHi+w6DRnviGaerU72P6Kz4cS5iF76FJo6jaCItshTYPjMReQPvRc/hF9Xoh0FERET1g8yO+Ndffx0326I7QOVvwEyK21922WU4evQoEhMTy1xPhjNmZGSUux0JrpUVYJMgVCADURLsCvR71CdsT7ZnKOPxyfYMZTw+q866fY0aulgRV3Y6HDv/hbFdN9QkbX0PdLWa/wwSHUd9lstjWS7PExEREVW3Cy+8UGVjbd++3bPs22+/VUMSW7durR7n5+fjhx9+UMMJxZEjR47bjmwjJiZG3cpbZ9asWTjjjDP4IR4bmimzYEph/w4dOqhJAQI1VPNkSU22TZs2nTDDY+3ateq2YcMGz30JfhIREQU6q8uy6hf/1s09vn8SaPr6PHRRMrpcZUT85LGUS41d+DbsFw3mkEYiIiKqVlI0fuDAgRg6dKgaQihBrylTpqh6XG579uzBpZdeqmZVPP/88/HGG29g8+bNGDBggApuLVu2TL3mtddeg8FgUK+RoYoSABs0aBDCw8Mxffp0rFixAj/99FNIfYIOpwtr99tgP5SH5DgDurWMhE7rXemj+tlsNhVklCGaX375JUwmk2pfmRjgpptuQij55JNP1D5JBqB3QLQ0GQrrrtsmmX7uMhzPPvusGt5KRERU3aTepnX9Yph/fBeOgzv8eo0mriFqWr0Ndv331zI0LpXRVTrg1dCRpdbrcu7ZNbpvREREVPeHTMyePRvvv/8+fvvtN1VYfvHixTjrrLM860i9rOHDhyM5OVk9fv755/Hzzz9jzpw5ajbGFi1aYM2aNSpDye2ZZ57BggUL1Lal9lbfvn3VTIwpKSkIFQs35GHC7HSk59mlUplalhKnx7ihKRjYKTA1wsT8+fNVYX9p54iICLWsZcuWKugVSiSg+eSTT+Kaa65Rkw34Qz5jCYzJscJhoUREFCi2ratg+vEd2Heu9/s12oQUGNqcjppWb4Nd5iOZ1boeERERUWVInaz77rtP3crSvHlzNYzR2+DBg9WtIpLVJbdQJIGuB6YdOK6QbUauXS2fOBoBC3jNmzdPZcW5A10S+Fq1ahXeeeedatm+DB3cu3dvhevIZ1pebTVhsVgwatQola0nwxj9DXbJe8uQRgmaun8/IiKi6mLfu1kFuWz/LfNZrm/ZEYaOvVE4d0q5r40aObbGi9PX62BXZMOkal2PiIiIiCoeujhhTnqZMzbJMhnE+NKcdPTvEBOQIY0S2JJMuf/++08NAZVMuZEjR6J79+7Vsv1FixZh/PjxFa5zouGFDz74ILp06aJm2ZRgl7+uuuoqJCQk4PDhwxgzZowa8uqu40ZERFRVjvQ9MM1+H9ZStbl0qa0QefEdMJ52rspW1zdpA9P01+D0KlYvGV0S6Arr2h/BUG+DXR3OPhPbZySqYvRlVemXml1HdQ3UekRERERUvism7cKRfBmWWD6r3Ylss/SwyiYBr8O5dpzzwlYY9SeeQ6lhjB7T7/Zv5kqHw6GCRxKMklpYEuySmmaSRVVdpP6X3KpKsviktpoUmPeXTqfDu+++i5tvvhlZWVlqggKpSybZgh9//HGV94WIiOo3R3Y6zHOnwLJ0DuB0eJZrE1MROfRWhPW60CdbSwJaxtPOgXXrauTs24n4ZmkwtjsjKBldqO/BLingmTfwXjSY/4wKbHl3qeSxXE/MG3gPi9MTERERnYAEuoprcJ284oBY+UGxqpBsrsLCQlXMfenSpWqmy1deeQWXX365Gs4o9c+COYwxNzdXBeEk82vnzp1qWXp6OqxWqwp+tWrVSg1RLE2GLN5xxx1qCKOQ+m2PPfYYHnroITV5gQTDiIiI/OUsyIF5/icoWjQDsFs9yzXRCYgcchPCz74UGoOxzNdKYMvQrhtc8c1gSE6GRnviC1eBVG+DXaLn8IuwAkDcwjfRwJHtWX5Em4iCQfeq54mIiIjoxFlWJ3KizC63hEit35ld/lq9ejVSU1M9hfpliN+dd96phjJKNpQEuyT769ChQ2o4RsOGDVVNNTcJJmVmZqoZHZOSknyeq45hjFIkX2aJlACV3IQMSZSJCK6//npMnDgR5513nl+/a5MmTVBUVKT2t1GjRn69hoiI6jdnkQlFv36Jwl+mwVVUMnGLJjwKEQPHIKL/VdCER6I2qdfBLiEBLftFg5E1tj90tkJkauJxW8obWDTslGDvGhEREVGt4M9wQqnZNfCV7aoYfVl1uzTHZmVc8Eibaq/ZJbNWnnLKKccFpxo0aIDTTjtNPZZhjkOHDlVTqstMlpMmTcJ1112Hb7/9Fvfcc4+a5VBuMntmu3btqnUYY+PGjY8bvvjEE0/g66+/9lku2V4ZGRno3Lmzp6B96cDb77//rrLHJChHRERUEZfNgqI/Z8I8fypcBSUJQDCEIeLcKxAx6Fpoo+NRG9X7YJdqBL0exgaN4Di8CzEuM46aXdhy2IJTG4cH+/MhIiIiqhMkgDVuaIqadVFCWd4BL3do67GhKQEpTi+ZXTJ88YMPPsC5556LdevWqbpWTz75pKdkxemnn449e/aoTC95/qWXXlLBLsn+mjlzJvr06YNgk6wv2a+CggL1WOp1bdy40ROkk1pksuytt97iEEYiIiqXy2GHZflPMM+ZDGd2eskTWh3C+wxHxJCboItPRm3GYNcxmriGwOFdCIcV0S4zlmwzMdhFREREVI0GdorFxNHAhNnpPjW+JKNLAl3yfHWTIJBkR1122WV47bXXVIArLS0Nr776Kq699lq1jgxhlODXtGnTVOF6Ga44ePBg9Zy85v/+7/9UppUMKZQAWE2QYZdSg8ubDEuU2Rrd7r//fpX99emnn+LgwYNo3769yljr3bt3jewjERHVLi6XC9Y1v8M8+z04Du/2ec7YfRCiht0GXXJz1AUMdh2jjW3gaZQGrhws3W7CTeeULCMiIiKikycBrXNPicKvaw/CrotBcpwB3VpGBiSjS2zbtk0VpJfglhSIL8s///yjhif+9ddfKmg0YcIEnH322SqDSoY/SsBrwYIF+OSTT2os2HXXXXepmzeZdVFublJf7KqrrsKVV16phjcmJyeroZZERESlWTcth/nHd2Dfs8lnuaFTH0RdfAf0zdqjLmGw6xitZHYdk+jMxardZhTZnAg3sMNAREREVJ0ksHV6UwOSk2MDHpyRIYxSm6u8QJeQGlgS1LrkkkswfPhwVcBehjtKYXgZ+ih1sSSjavLkyQHdVyIioupm27VBBblsW/7xWa5vfRqiht8FQ9uudbLRGewqI9glmV1Wuwurd5vRu210sD4bIiIiIjpJMiTxhhtuqHCdyMhIfPfdd8ctlyGPciMiIqpt7Ad3wDzrfVjX/eGzXNekLaKG36kyuiRDuK5isOsYjfcwRmeO+rlku4nBLiIiIqJabMyYMcHeBSIiohrjyDoI8+zJsKz4SYp0eZZrk5oiatjtMHYbCE09GPLOYNcx2rgkn8wusXSbCbgwOB8MEREREREREZE/nHlZMM/7BEWLZwIOu88otoiLbkF474uh0dWfEFD9+U1PQBtXktnVKixf/dx8yIKsAjsaRLOZiIiIiIiIiCi0OAsLULjgcxT+/hVgKfQs10TGImLwdYg49wpojOGobxjFOUYbW1Kzq7khD3AU31+23YSLTo8LyodDRERERERERFSay1qEwj+mo/DnT+Ey55U8YQxHRP+rETHwGmgjY+ptwzHYdYwmPBIuYwQ01kIkHqvZJZbtYLCLiIiIiIiIiILP5bCjaMksFM79EM7czJIndHqE970MkRfc4DMBX33FYJe36ATgaCGM5iyExWhgsbuwZJsJLperTs9SQEREREREREShy+V0wrpqIUyzP4Azc1/JExoNwnoOQeTQW6Br2CSYuxhSGOzyFiPBroOAxYwzO2ixaJcDh3Pt2H3EilZJYUH7kIiIiIiIiIio/pHkG9vGJTD9+A4c+7f5PGc87RxEDrsd+iZtgrZ/oYrBLi+u6ES487f6NbZg0a7i5pHsLga7iIiIiGq/WbNmYdGiRerLw4ABA3DRRRcFe5eIiIjKZNu+FqYf3oF9x1qf5YZ23RE5/E4Y0jqz5cqhLe+Jeikm0XO3e0Oz5/7S7aYg7RARERERVZfbbrsN9957L5KTkxEdHY3LLrsMc+fODZkG/vTTT9GvXz+0bNkS5513HhYuXBjsXSIioiCw79uC3HfuR+5rt/gEuvTNT0XsvZMQe/+7DHSdADO7SmV2uTXR5SIxKgFHTQ6s2GmGzeGCQce6XUREREQny+V0QLN7PSx77dDFJ8PQ5nRotLqANuw///yDTz75BFu2bEGrVq3Ust9//x2bN28Oieyut956C+PGjcOHH36IXr164Y8//sAll1yCBQsWoE+fPsHePSIiqgGOjH0wzX4f1n8W+CzXpbRA5MV3wtj1PNYT9xODXaVrdrnlZ6FX646Y928eTBYn1u8rxBktI/1tVyIiIiIqg2XNbyiY/hp0ORlw585r45MRdcWDCOvaP2Bt9v3336Nv376eQJfZbMa6devw6KOPhsTnNHnyZNx888246qqr1OO0tDQ13PK5557D/Pnzg717REQUQI6cTBT+9CGK/v4RcDo8y7UJKYgceivCeg2BRsfwTWVwGKM3r8wuZ+4R9G4b5XnMoYxEREREJx/oyp/8KFw5GT7LnTkZark8HygrVqxAz5491f2DBw9i9OjRaNq0KS644IJq2f6XX36JRo0aVXj75ptvyn19YWGhGlrpTR7/+eefcDqd1bKPREQUWpymXJi+ewvZT12KosXfeQJdmuh4RI14AAnjZyK898UMdFUBQ4NeXF6ZXRLsOuu8kmDXku0m3HV+UlXamIiIiKjek6GLpumvVdgOpm9fVzNLBWJI45o1a3DLLbdg8ODBamhgeHi4CiTp9dXTHb700kvRv3/FmWlxcXHlPjdkyBBMnToVY8aMwSmnnIK1a9fi66+/VkGw7OxsNGjQoFr2k4iIgs9VZEbh71+jcMFncBWV1AjXhEchYsBohJ9/NbThJfEIqjwGuyrI7EqNN6BVkhG7Mq1qGGN+kQMx4YGtJ0FERERU2+RMuBbOvKwK13HZrHCZcipcx5mdjqOPXACNwXjC99TGNkD8uM/82r89e/YgKysLXbt2xfjx49VwwXfeeQcXX3yxquEVGxuLkxUREaFuVfXSSy+pwFa3bt2g0+mQlJSEW2+9VS2XmSOJiKj2k3Nh0V/fwzzvY7jyj5Y8oTci/JwRiLzgBmij44O5i3UGg13eJHKqNwJ2qwp2ibPaRKlgl8MJrNxpRv8OMUH6qIiIiIhCkwS6ZChidZCAWHWHdlavXo2YmBi0adMGbdu2xZlnnqluzZs3x8aNG3HWWWdVyzDGsWPHVrjOm2++iSuvvLLM56KiolRx+ilTpiA3Nxfx8fEq0CVDGRMTSy7IEhFR7cxutqyYD/PsD+A8eqjkCY0WYb2HIXLIzdAlNgrmLtY5DHZ502igjWsIZ9ZBz9VJCXZ9uTTbU7eLwS4iIiKi47OsTsSfzC7VHYuK9zuzqzJDGE877TSfGaz27t0Lo9GIDh06qMcyK+OIESPUOlLLa8KECTj99NOxdetWPPPMM9i0aRNsNhtmzJihhhlW9zBGN3l/CXSJmTNn4sILL4RWyzK7RES1kWTmWtctgnnWe3Ac2unznPGM8xE57DboG7UM2v7VZQx2leIOdrlMuapT1jMtEjotVGYXi9QTERERHc+f4YRyVTv78YsrzACTWacSnv+x2mt2SWaXDFfcsWMHWrdujSNHjuDhhx/G1Vdf7QlANWvWTNXIki8mf//9N8aNG4d58+bhhhtuULW+HnvsMRV0kuywQAxjXLp0KXbu3IkrrrgCDodDDbeUfZ42bVqVt0lERMFj3bwS5h/fhX33Bp/lhg5nIuriO6FvcWrQ9q0+qHSwSzoAK1euVLUPJA1crnidiNVqxbJly5CRkYHGjRujV69eqhZBKNJ4XSWU7K7oBqno0iwCa/YUquGMh3JsqpYXEREREVWij6XVIeqKB9Wsi+WJGjk2IMXpJdglwwQlI0uytg4fPqwysSZNmuRZ57ffflNDCPft2weTyeTJ3ho0aBDeffddnHPOObjxxhurraB9aZ06dVLDGO+66y4UFRWp2l2///472rVrF5D3IyKiwLDt3qiCXLbNK3yW69M6I2r4XTC068amrwGVOlvLifeSSy5RqeDdu3dXV6Aktfrzzz8vN73633//VetIOvapp56qOhsS6Fq4cCFatmwZkpldbs7cTOgapKqhjBLsEpLddVl3FowjIiIiqqywrv2BW19GwfTX4PLK8JKMLgl0qeerWXp6Og4dOoT169cjMjISOTk5aNWqFRISSmbhliGKjzzyCN566y21/IUXXkCPHj3Uc08//TQef/xxfPvttyrYJf3fQJCaYh999JEKrDmdzpPKEiMioppnP7xbDVe0rvnNZ7mucWtEXnwHjF36+QynpxAKdr3++utqGmS5paamqtTqM844A59++qlK8S7LE088odLFFy1apD5YyfKSmgkvvvgiJk+ejFCjjfUOdpUUqX/31+L7S7Yx2EVERERUVRLQ0nfuiyP//IFYrR26+GQY2pwekIwusWrVKhU4kouu5Y0skNkYZbZGmf1QZkG0WCyq2LwUlJdsL+m/SpDMOxMsUMLCwgL+HkREVH0cRw/DPGcyLMvmyph9z3Jtg8aqJldYj8EBO8dRNQW7pGaAzCAjgS7Rvn17lbUly8sLdkkhT0kXd0cwpRBoo0aNYLfbEYq0cQ2OC3Z1bhaBqDAtTBYnlu0wwel0QatlRJaIiIioKqTT72rZGWHJyQEvvi4jErp06VJhCY0mTZpg9+7dKgMsLS1N1c5q0aKFumA7YMAAFYCSmRsZiCIiIjdnfjbM8z9B0Z8zALvNs1wTm4jIC29C+NmXQqNnCaSQD3ZJ0Epmqbn//vt9lnfu3FmlW5dHZrKRQpsPPvigmu1m+fLlOHr0KD7++ONyXyNX0+TmlpeXp35KSrfcAkG2K/XIEFMytbMj94hartMAPVpF4o/NBcg2ObDpYCFObRwekP2oK9ztGajPq75he7I9QxWPTbZnKKup45Mz5YU2GYIotxORIY4S3BLun1JrVm5ERERuzsICFP4yDUW/fgmXxexZromIQcSgMYg4bxQ0YRyKXmuCXQUFBaqz6F3fQCQmJiI3N7fc1yUnJ6sg19y5c7Fr1y6sW7cOffr0OW47pQNkMgNNaZmZmapuWCDI76Z+D7sW7tir+fB+FGQU15Po3MiBPzYXL1+4NgMN9Ax2+dOe8iWDXwKq7/hke1YPtmf1YVtWL7Zn7WxPyVgnIiKius1lLULhnzNQOH8qXCavGIghDBH9RyFi4LXQRsUGcxepKsGu8PBwT9DLW35+foUFNCWrSwJb//33n+poSs0Dmc3mtttuwzfffFPma2SqZ6mT4J3ZJdNBSw0FqakQqA6xDLVs0KghivPIgDBrAWKSk9X9gadb8fYfu9T99Yc1uPfYcqq4PeUzY7Cr+o5Ptmf1YHtWH7Zl9WJ7sj2JiIgotLgcdliWzoF57hQ4vSZXgVaH8LMvQeSQm30muqNaFuySgJbU6tqzZ4/PcnkstQ3K4nA41Iw1UojeHfCQml1Dhw7F22+/Xe57ST2EsmoiyDYCGTiRYIIuJkEdtHA64MzL8rxfWnIYGsXpcTjXjtV7CmF1AOGGwNaYqO2kPQP9mdUnbE+2Z6jiscn2DGWhfHxK/VKZfW/ZsmWIi4vDtddeqyb+qYjUlJJZsKW0hGTPjxgxQs2QfbLbJSIiIl8upxPWNb/CPOt9ODL2ljyh0aii85FDb4MuqSmbLURVqud30UUX4bvvvlNBLGE2mzFr1iy13O3ff//F9OnT1X0pBCoBso0bN/psZ8OGDSpTKxRppEN8rEi9M+9IyXKNBr3bRqn7VrsLa/YUBm0fiYiIqPa79NJL8eqrr6Jr166qb9WrVy/Mnz+/3PWl7unAgQPV0My+ffuqbPmzzjpLBbZOZrtERERUQsofWDcuQc5L1yL/w//5BLqMnfsi/n/TEHPDcwx01aXZGJ966in06NEDw4YNU7MwSlArKioKDzzwgGcdCYa98cYbaviieOaZZ3DnnXeqAvcyE45cZZwxY4ZaL1RpYxvCmZ0BV362SlnU6Iqb6aw2Ufjun+KxuUu2mdRjIiIiosqS4NOcOXOwadMmnHLKKWqZ1CWVPtUFF1xQ5mvatGmjZhY0GEpmdpILjzJR0E033VTl7RIREVEx2451MP34Duzb1vg0ib5tV0QNvwuG1qexqepiZpdkY0knS64Qrl27VmV0rVy50qfYvAS0rrzySs/jm2++GUuWLFFp9CtWrFDbkOwvCZiFKs94W5nBKf+oZ/mZrUuCW0u3+9YuIyIiIvLXTz/9pGa0dgekhPSfZHjizp07y3xNgwYNfAJd7nISzZs3P6ntEhER1Xf2A9uR9+5Y5P7fzT6BLl2z9oi9+03EPfABA111ObNLyLDEp59+utznL7vsMnXzJrUkSteTCGXexeWcuUegiy8uRp8YrccpqWHYfMiCTQctOFpgV8uIiIiIKmPHjh0+QSrRokUL9VOCUuXVQxUPPvigCnJJWYhOnTrhvffeO6ntWiwWdfOeGMg9YYLcAkG2K8NEArX9+obtyfYMZTw+2Z6hzJaxD9rv3kbehj9VsoubNrkZIobeBmPXAarUkZyz5Eah8ffuTy1WRmrKarhY32CXt7PaRqlgl1i2w4Qhp8Wd/CdFRERE9YoMLZQZdr1FR0d7nqvIgAEDkJmZqS5AfvbZZ/j1118xatSoKm93woQJGD9+/HHL5T1OtC9VJZ1gqT0mHeJQnDygtmF7sj1DGY9PtmdIyj8K7Z/fQLP6Z2idxTXJhSumAZznXAX76QNglXJGR3zjARQaf++NGjU64ToMdpVBG18S7HKVCnb1bhOFT/4sHtq4dDuDXURERFR5Ut7h6NGSUgkiKytL/YyPj6/wtUOGDFE/r7vuOqSkpOD222/HyJEj1cRAVdnuuHHjMHbsWJ/MLik7IUGz2NjYgHWGZfIfeQ8Gu9ieoYbHJ9szlPH4PMn2M+ehaOHnKPr9G8BWktWsiYpD+KDrEN7vcmiM4Sf9OdVXzhA6vzPYdcJhjMUdRLczWkbCqNeoGRmlSL1ELOXDJCIiIvKX1DidMmWKTz9i/fr1qmPYoUMHv7cj68oV1JycHFXTqyrbDQsLU7fS5DWB7KjK/gX6PeoTtifbM5Tx+GR7BpvLWoTC379G4c+fwVWYX/KEMQLOM4ejwcW3QBcVmAs89Y0mRM7v7F2caBhjnm9mV7hBi24tI9X9w7l27D5iDfRnRERERHWMDDtMT0/HN998ox5brVZMmjRJZW0lJiaqZfv371frSW0uMW/ePGRnZ3u2Ia+ZOnWqKkYvgS5/t0tERFRfuOw2FC76FkefvATmH94pCXTpDQg/bxTin/0OzvNGQxNRPOSf6g5mdpVBU6pAfWlntYlSQxiFZHe1Sjr+aigRERFReSRA9cYbb+DGG2/E5MmTsXfvXjUM8auvvvKsI9laErSSma2lEL0Ers4880xVpyImJgarV69GcnIyvv7660ptl4iIqK5zOR2wrPwZ5jmT4TxyoOQJjRZhZ16EyItuga5BanEh9cKMYO4qBQiDXWXQxiRI7p2ajcGZm3nc873bRuH1+fAUqR/dm1dKiYiIqHLuvvtuXHLJJfjnn39Ura2zzz4bBoPB87zUzZIgVefOndXj4cOHY/DgwVi1apXK8JJZFt3PVWa7REREdZUM47euXwzzj+/CcXCHz3PG089D5MV3QJ/aKmj7RzWHwa4yaHR6aGIS4Mo7elzNLtG+URgSo3Q4anJgxQ4z7A4X9DrW7SIiIqLKadq0qbqVRQJV7lkW3cLDw9GnT5+T2i4REVFdZNu6CqYf34F953qf5YZTeiJy+J0wtOwYtH2jmsdgVwV1uxwS7MrLgktmFPAqrqbVatCrdRTm/ZuHAosT6/cXomuL4jpeRERERERERFQz7Hs3qyCX7b9lPsv1LTuqIJfxlJ78KOohBrvKoY1PgmP/VsDpgKsgB5rYxOOGMkqwSyzdZmKwi4iIiIiIiKiGONL3wDT7fVhX/eKzXJfaSg1XNJ52rmdmYqp/GOzyc0ZGbalg15ltojz3l2w34c7zkwL1GRERERERERGRBLmy02GeOwWWpXNUcoqbNjEVkUNvRVivC6HR6thW9RyDXeXQxhVP4e2ZkbFpO5/nG8cb0LKhEbuPWPHvvkIUFDkQHc4/KCIiIiIiIqLq5izIgXn+JyhaNAOwWz3LNdEJiBxyE8LPvhQag5ENTwqDXeXQxjX0DXaV4aw2USrY5XACK3aa0b9DTHmbIyIiIiIiIqJKchaZUPTrlyj8ZRpcRSbPck14FCIGjkFE/6ugCWcNbfLFYNdJBLukbtdXy7LV/aXbTQx2EREREREREVUDl82Coj9nwjx/KlwFxd+7FUMYIs69AhGDroU2Op5tTWVisMufml3lBLt6pEVCp4XK7JJgFxERERERERFVncthh2X5TzDPmQxndrrXl3QdwvsMR8SQm6CLT2YTU4UY7DqJzK6YcB06N4vA2j2F2JVpxaEcG1LjDRW3OBERERERERH5cLlcsK75HebZ78FxeLfPc8bugxA17Dbokpuz1cgvDHaVQxvrVaA+r+xgl+jdJkoFu8Sy7SZc2p1plERERERERET+sm5aDvOP78C+Z5PPckPH3ogafif0zdqzMalSGOwqh8zioImKg8uUC2duVrkNKEXq3/21OBi2hMEuIiIiIiIiIr/Ydm1QQS7bln98AxWtT0PU8LtgaNuVLUlVwmDXCYYyOlSw64hKqdRoNMetI8MYo8K0MFmcWLylAHPW5CI5To9uLaWe1/HrExEREREREdVn9oM7YJ71Pqzr/vBZrmvSVmVyGTr1KfP7N5G/GOw6UbDr4A7AboXLnA9NVOxx6xh0GrRqaMSGA0XIL3Li0ekH1fKUOD3GDU3BwE7Hv4aIiIiIiIiovnFkHYR59mRYVvwkRbo8y7VJTRE17HYYuw2ERqsN6j5S3cBgl78zMuYdgbaMYNfCDXkq0FVaRq4dD0w7gImjwYAXERERERER1VvOvCyY532CosUzAYfdJ8Ek4qJbEN77Ymh0DE9Q9eHRVAFtnFeR+pxMIDXN53mH04UJc7ymQvUiMWpJunxpTjr6d4jhkEYiIiIiIiKqV5yFBShc8DkKf/8KsBRP7CY0kbGIGHwdIs69AhpjeFD3keomBrsqIFFm70h0aat2m5GeWxKVLivgdTjXrtbrmRZ1sp8VERERERERUchzWYtQ+Md0FP78KVzmvJInjOGI6H81IgZeA21kTDB3keo4Brv8DXblFs+46C0zr/xAV1XWIyIiIiIiIqqtXA47ipbMQuHcD+HMzSx5QqdHeN/LEHnBDT7fs4kChcGuCmjjkioMdiXF+td8/q5HREREREREVNu4nE5YVy2EafYHcGbuK3lCo0FYzyGIHHoLdA2bBHMXqZ5hFOYkMru6tYxUsy5KMfqSeSRKSM0ueV7WIyIiIiIiIqpLXC4XbBuXwPTjO3Ds3+bznPG0cxA57Hbom7QJ2v5R/cVgl981u44Pdum0GowbmqJmXZTAVumAlzx+bGgKi9MTERERERFRnWLbvhamH96Bfcdan+WGdt0ROfxOGNI6B23fiBjsqoDMCqEJj4KryARn7vEF6sXATrGYOBpqVsbSxeoTInXo1z6aRxkRERERERHVCfZ9W2Ca9R5sG/72Wa5vfioiL7kLhlN6QqORdBCi4GGwy4/sLocKdnkV1ysj4NW/Q4yadVGK0U9dfBT/HSxCttmBT/86ilvPYwE+IiIiIiIiqr0cGftgmv0+rP8s8FmuS2mByIvvhLHreQxyUchgsMufYFf6HsBSCGeRCdrwqDLXkyGNPdOKn2vXKAyXvbULThcw+Y8juKRbHJJjDdX/6REREREREREFkCMnE4U/fYiiv38EnA7Pcm1CCiKH3oqwXkOg0TG0QKGFR+QJaGNLsrJcUqS+nGCXt7aNwnFFrwR8vSwbhVYX3lyQiRdGND75T4uIiIiIiIioBjhNuSj8+VMU/jEdsFk8yzXR8Yi84AaE97scGkMYPwsKSQx2nYA23ndGRknR9Mfd5zfET2tzkVfkxA+rcnHVmQno1DTi5D4tIiIiIiIiogByFZlR+PvXKFzwmapf7Sb1rCMGjEb4+VeXO+KJKFQw2HUCGu8ZGcspUl+WhCg97hiQhJfnpqvHL81Jx+e3teAYZiIiIiIiIgo5LpsVRX99D/O8j+HKP1ryhN6I8HNGqGwubXR8MHeRyG8MdlViGKMz74j/LQvgqrMSMH1FNnZlWrFmTyHmr8/HhV1iK7UNIiIiIiIiokBxOR2wrJgP8+wP4Dx6qOQJjRZhZw1D5EU3Q5fYiB8A1SoMdvlRoN57GGNlGHQaPDwkGXd+ul89fm1eOs47NRrhBm1VPisiIiIiIiKiauFyuWBdtwjmWe/BcWinz3PGM85H5LDboG/Ukq1NtRKDXQEMdol+7aPRp20U/t5mwqEcO6YuPorb+5dsk4iIiIiIiKgmWTevhPnHd2HfvcFnuaHDmYi6+E7oW5zKD4RqNQa7KhXsyqx0A2s0GjxyUQoue2snHE7gwz+O4NJucUiJM1T+0yIiIiIiIiKqItvujSrIZdu8wme5Pq0zoobfBUO7bmxbqhMY7DoBmXECMp2qzVKpAvXe2qSE4cpeCfhyaTYKbS688XMmJlzRuErbIiIiIiIiIqoM++Hdariidc1vPst1jVsj8uI7YOzSj5OpUZ3CYJcfmVna+CQ4M/dXaRij210DGmLO2lzkFToxa02uKl7fpVlElbdHREREREREVBHH0cMwz5kMy7K5Uones1zboLGqyRXWYzA0Wh0bkeocVkqvxIyMrsJ8uKxFVWro+Cg97hqQ5Hn88px0VRCQiIiIiIiIqDo587NR8O3ryH76MliWzvYEujSxiYi68mEkPDMD4b2GMNBFdRYzuypbtysvC7qGTarU2FeemYBvVmRjZ4YVa/cWYu66PAw9Pa5K2yIiIiIiIiLy5iwsQOEv01D065dwWcye5ZqIGEQMGoOI80ZBE8YRRlT3MdjlB21cA899GcpY1WCXQafBI0NScPvUferxxPkZGNAhBhFGJtgRERFR9bDb7cct0+l0rMVCRFSHyQikwj9noHD+VLhMuSVPGMIQ0X8UIgZeC21UbDB3kahGMcpS6RkZq1ak3q1v+2j0bRel7h/OteOTP09ue0RERFQ7rV+/Hn379oXRaETDhg3x8MMPw+FwlLt+RkYGHn30UbRu3Rrh4eHo0KEDpkyZ4rPO5s2bYTAY1PPet99//70GfiMiIgokl9MB29ZV0KxfpH7KY5fDjqK/fkD205fDPPPNkkCXVofwfpcj8bkfEHXJ3Qx0Ub3DzK5K1OwSzryqF6l3e+SiFCzdvhN2J/DRn1m4rEc8GsUZTnq7REREVDvk5eVh0KBBGDJkCH744Qds374dw4YNU4GvF154oczXTJ48WQXFFixYgCZNmmD27NkYPXq0Cm5df/31Puvu3r0bTZs2raHfhoiIAs2y5jeYpr8GZ04GpJx8vgxNjIqFRmf0/Y6q0aii85FDb4MuiecBqr+Y2VXZzK6czJNu9LTkMIw6M0HdL7K51HBGIiIiqj+mTZuG3NxcvPXWW2jQoAF69eqlMrsmTZoEq9Va5mueeOIJtY47s2vkyJEqQPbtt9/W+P4TEVHNBrryJz+qAl3eXKY8n0CXsXNfxP9vGmJueI6BLqr3GOyqdIH6k8/sEncMSEJcRPEUr3PW5mHd3sJ6fzASERHVF0uWLEH37t0RFVVc2kD0799fZXxt2LDB7+2kp6cjPj7+uOWdOnVSAbEuXbpg6tSp1bbfRERUs2SoomR0VUhvQOzYyYi983Xom7atqV0jCmkcxljpml3VE+yKj9Th7oEN8cKsdPX4pTmHMe32ltBqNdWyfSIiIgpdEqRKSkryWZacnOx5zh9fffWVCpp5D3vU6/UqA+zWW29FXFycyvqS+zabDbfcckuZ27FYLOrmJgE34XQ61S0QZLsulytg269v2J5sz1DG4/Pk2LauPi6j6zh2m6rdxf+plcfjs3a2p1Z74rwtBrv8oImKU9Fy+SdysgXqvV3RMwFfL8vGjgwr/t1XhLnr8jCsa1y1bZ+IiIhqD3fHUKM58YWvRYsW4aabbsKLL76Ic845x7O8TZs2eO655zyPZZ1Vq1bh9ddfLzfYNWHCBIwfP/645ZmZmSgqKkKgflcZxikdYn86rMT2rEk8PtmeIUP+Ry6Z49dwrJx9O+GKb1YDO1W38O+9drZno0aNTrgOg11+kE6nNrYBnEcPV1tml2p8nQaPXpSCWz/Zpx5L7a4BHWMQaWSnj4iIqC5LTU3Fzp07jwsu+dOB++uvvzB06FA1M+Njjz12wveSIY2lZ230Nm7cOIwdO9Yns6tZs2Yq8yw2NjZgnWHpX8l7MNjF9gw1PD7ZnqHAcXg3TN+8CvvWf/xaP75ZGgzHMoTJf/x7r7vtyWBXJWZklGCXqyBbpYhqdNXTdH3aReOcU6KxaHMB0vPs+HhRFu4e6DusgYiIiOqWPn36YPr06SgoKEB0dLRa9uuvv6qhhx06dPCsZ7fbodPpPNlef//9Ny688EIVnHr66af9eq9169ap2RvLExYWpm6lSSc1kB1VdTExwO9Rn7A92Z6hjMen/1zWIpjnfYzChZ8DDrtfr9EmpMDY7gxo+P+Ux2cI0ITI+Z29iyoVqa++oYzikSHJ0B/7JD7+MwsHc2zVun0iIiIKLVdffbWahfH222/HwYMH8eeff+KVV17B/fffD6PRqNaRQvUGg0EFwcSyZctUoOu+++7Dk08+qQJhcnM4HJ7tynDEjz76CPv27VOZYu+884567J25RUREocny75/IHn8FCud/4gl0aRs0Rvjg6yp8XdTIsdBoiyc/I6JiDHb5SRvXwHO/OocyipZJYbj6rER132J34fV5JyhASERERLWaZHMtXLhQFaNv164drrrqKtx555146qmnfK6MSlaX+8roe++9B7PZjJdeeknNtOi+devWzfOaO+64Q2Vy9evXD6eccgqmTZumCtnfe++9Qfk9iYjoxBxZB5H33oPIf+9BOI8eKl6o0yPighuR8NQ3iL7kbsTc+jK08cnHZXTJ8rCu/dnMRKVwGGMQZ2T0dseAhpi1Jhc5Zgfm/ZuH0b0T0LVFZLW/DxEREYWGU089VQW8ytOxY0eVueX26aefqltFZEbHt956S92IiCi0uew2FP7yBcw/fQTYSmbFNbTvgahRj0DfqKVnmQS0jKedA+vW1aoYvdToKh66yIwuorIw2OUnbVxSQINdsRE63DMwCc/9eFg9njA7HV/f2RJa7YlnZCIiIiIiIqLaw7p5JUzfvKIK0XsnWERd/gCM3QeWOTOvBLYM7bqpWRelGD1rdBGVj8GuEMnsEiN6xOPrZdnYlm7BxgNFKtPrkm7xAXkvIiIiIiIiqlnyXdI08w1YVv5cslCjRfh5VyJy6K3QRhRPWkJEJ4c1u6pUoD4wwS69ToPHhqZ4Hr/xcyZMFmdA3ouIiIiIiIhqhsthR+FvXyP7mRE+gS59WmfEj/sM0SPHMtBFVI2Y2eUnbWzgCtR7O7NNFM47NRq/bypAZr4dHy46gvsG+RYiJCIiIiIiotrBtnM9Cr56CY79Wz3LNFFxiLr0HoSdNYzDEYkCgMEuP2liElR6KVxOuHKzEEgPD0nB4q0FsDuAqYuPYmSPBDROMAT0PYmIiIiIiKj6OAtyYPrxHVj++sFneVjv4Yi69G5oo1myhihQOIzRT1IMUBubGPDMLtGioRFjehe/l9Xuwmvz0gP6fkRERERERFQ9XE4nipbMQvb4kT6BLl2Ttoh76EPEjHmCgS6iUAx2ZWZmYs2aNcjJyanU67Zv344dO3agttLEFtftcuZlweV0BPS9buvfEIlRxdPIzl+fj1W7zAF9PyIiIiIiIjo59v3bkPv6rSj4/Dm4Coq/L2vCIhE14gFVm8vQ+jQ2MVGoBbtcLhfuuusuNG3aFKNGjUKjRo3w9NNPn/B1ixcvRrt27dC3b19ccsklOOuss7Bnzx7UNtr4Y0XqZShjfnZA3ysmXId7BiV5Hr80Jx1Opyug70lERERERESV5ywyoWDGRORMGAP7jnWe5cZuAxH/zLeIGHA1NDpWESIKyWDXBx98gC+++AKrV6/Gli1b8Msvv+DFF1/EDz/4jkH2tnXrVlxwwQW46qqrcPDgQaxfvx6TJk3Cvn37ULtnZAxs3S5xefd4tGsUpu7/d7AIP67ODfh7EhERERERkf8JIZZVvyDnmZEo+vVL4NgIIF1yc8TeOwmxN78IXTwnHCOqaZUKLX/44YcYMWIEOnbsqB6fffbZGDBgAD766COVsVUWCYa1bNkSzzzzDDQajVrWrVs31EbaY8MYPXW7mrUP6PvptBo8NjQFN364Vz2e+HM6GkTrkF/kRFKsHt1aRqp1iIiIiIiIqGY50veg4JtXYdu0vGShIQyRF96IiPOvgcZg5EdCFOrBLofDgX///Rc333yzz/JevXqpYFd5Fi5ciGuuuQZWqxWbN29GcnIyUlNTURv5ZHYFuEi9W6/WUTi/Ywx+2ZiPrAIn7vh0v+e5lDg9xg1NwcBOsTWyL0RERERERPWdy1oE889TUbjgM8Bu8yw3dDob0Vc+BF3DJkHdPyKqRLArPz8fNpsNiYnFswS6NWjQAFlZWeWmdB4+fFjdpGZXbGysGr4omWFfffUVmjdvXubrLBaLurnl5eWpn06nU90CQbYr+1vR9jUxJb+7IyczYPtSWq+0CBXsKi0j144Hph3A61e7VEAslPjTnsT2DBYen2zLUMVjs3a2p1bLya2JiOoL64a/UfD1K3BmHfQs0yY2QtQVD8HYpZ9nNBMR1ZJgl8FgUD+9g1CisLDQ81xp8oeu0+kwa9YsrFixAm3btlVBs0GDBuGWW27Bzz//XObrJkyYgPHjx5c5C2RRURECQTrCubm5qlNcbqfVqfM0mOnwPuRnZCDQHE4XJv9edq0ud7n6F2cdQscG5pAa0uhXexLbM0h4fLItQxWPzdrZnjJhDxER1W2Oo4dh+vY1WNf+UbJQq0PEwGsQeeFN0IRFBHP3iKiqwa6oqCiVxSVF5r3J4xYtWpT7OnnujDPOUIEuERMTg2uvvRZjx45Vnc+yIt/jxo1Tz3tndjVr1gxJSUkqOyxQHWLZF3mP8jrEDoML7rBTmM2EmOTAFxpcudOMzGNT1pYns8CF/eYY9EiLRKjwpz2J7RksPD7ZlqGKxybbk4iIQovLYUfhr1/CPHcKYC1JvDC064aoUY9An5oW1P0jomooUC/F6GfPno1HH33UU8dr7ty5GDp0qGed/fv3q2GL3bt3V48HDx6MdetKpl4VBw4cUIGz8lI8w8LC1K00CZoEMnAi+1PRe2jikzz3XblZNRLEOVLg8Hu9UAsqnag9ie0ZTDw+2Zahiscm25OIiEKDbdtqFHz1EhyHdvmUtom6/D6E9byQQxaJ6kqw68knn1QF6e+8804MGzYMn3/+OXJycvDQQw/5zNj4xhtvqOVCAmOS2SWZWhIU27hxo3r+hRdeQG2j0emhiU6AqyAbzryaKVAvsy5W53pERERERERUPmdeFkzfvQ3L8rklCzUahPcbgciL74A2MrTqJRPR8SqVctOpUyf8/fffqu7WSy+9hMjISCxduhRNmzb1rCP3e/To4Xksww+XLVsGk8mEZ599FkuWLMGXX36J++67D7V5Rkb5ByjDMAOtW8tINetiRdW4GsXp1XpERERERERUNS6nA4WLZiD7mZE+gS59iw6If/RTRI96hIEuolqi0ulAp59+usroKs/NN9+sbt5at26NDz74AHWBNq4BHAe2qSlmXaZcaKLjA/p+UnR+3NAUNeuiBLzKCq+d2ToqpIrTExERERER1Sa23Rth+vpl2Pds8izTRMQg8tK7Ed5nODRaXVD3j4gqh8WUqpjZJZy5NTOUcWCnWEwc3QTJcWXHJueszcWq3eYa2RciIiIiIqK6wmnKU3W5cl+5wSfQFXbWUCQ8MwMRfS9joIuoFmKhp0rSxnoFu/KygCZtUFMBr/4dYlRQKzPPrmp0Ld5SgI//PAq7E3jwywP49p5WSIrhR0pERERERFQRKUljWf4TTDPfVDWZ3XSNWyN61KMwtO3KBiSqxRgZqQWZXW4yVLFnWpTn8RktIrHxQBGW7zAjM9+Oh786gA9vag69jkMaiYiIiIiIymI/uAMFMmRx25qShWERiBx6KyLOG6UmJiOi2o3DGE8q2JWJYJKg1qujmiDl2EyMK3eZ8cbPGUHdJyIiIiIiolDkKjLD9N1byHlhtE+gy3jGACQ8/S0iz7+GgS6iOoIh61qU2VWWBtF6vH51E1w3eY8azvjJ4qM4rXmEGvZIRERERERU38mQReva32H69jU4s0uSA7RJTRF95cMwduwd1P0jourHYNdJBbuyEApObxGJRy5KwYuz09Xjx2ccQpuUMLRKCgv2rhEREREREQWNI3M/Cr55FbaNS0oW6o2IGHwdIgdfB42B35mI6iIGu2p5Zpfb1WclYO3eQvy0Lg8mixP3TzuAr+5siUgjR6oSEREREVH94rJZULjwc5jnTwVsFs9yQ4czEX3lI9AlNwvq/hFRYDHYVUkS+ddExMBVmA9nXugEuzQaDcZfloqthy3Ynl58e+a7Q3j5ysbqOSIiIiIiovrA+t8yFHz9CpyZ+zzLtPHJiBr5IIxdz+P3I6J6gGk/J5HdJZldMv47VEgW1xujmyAqrPhjnbsuD18tK5lGl4iIiIiIqK5y5GQgb8o45L19T0mgS6tDxPnXIP7p6Qg7oz8DXUT1BINdVWm0uAbFd6xFcBWZEEqkTtfzI1I9j1+em451ewuDuk9ERERERESB4nLYUfjLNOQ8MxLW1b94lutbn474/32BqMvvgzY8ih8AUT3CYFcdqtvlNqhTLK7vm6ju2x3AA9P2I6vAHuzdIiIiIiIiqla2HeuQM2EMTDPfgMtiVss00fGIvvZpxD04GfombdjiRPUQg11VabS4pJAOdokHBieje6tIdT89z46Hvz4AhzN0hlwSERERERFVlTM/G/mfPYvc/7sZjgPbixdqNAjvezkSnpmB8LOGcsgiUT3GYFcdzOwSep0G/zeqMRrG6NTj5TvMeHthZrB3i4iIiIiIqMpcTieKFn+H7GdGwLJ0tme5rtkpiHvkE0Rf/Ri0UXFsYaJ6jrMxVoE21ivYFUIzMpaWFGvA61c1xQ0f7oHDCUz5IwtdmkWgf4eYYO8aERERERFRpdj3bUHBly/BvnuDZ5kmPAqRw+9EeL/LodEWX+gnImJm18kUqJcrCyGa2eXWrVUkHrww2fP4f98exJ4j1qDuExERERERkb+chQUo+Ob/kDPhWp9AV1jPC9WQxYhzr2Cgi4h8MLOrjg5j9HZtn0Ss3VOIBRvykV/kxP3T9uPLO1oiwshYJxERERERhSaXywXLyp+Li8/nZXmW6xq1QtSoR2Bs3z2o+0dEoYvBrirQ+AS7Sv7phiqNRoPnR6RiW7oFuzKt2HrYgmd/OIwXR6ayaCMREVEQ7d27FytXrkRcXBz69esHo9FY4fp2ux1r1qzB/v370bp1a3Tp0qVatktEFGrsh3bB9PUrsG39p2ShMRyRQ25GxICrodEbgrl7RBTiGOyqAm14FBAWAVgKQ7pml7eoMB3eGN0Uo97dhUKrC7PW5KJriwhc0Ssh2LtGRERUL7355pv43//+hz59+mDPnj1wOBz49ddf0aJFizLXnzdvHh544AHExMSgadOm+Pvvv9G5c2f88MMPallVt0tEFEpc1iKYf/oIhb98ATjsnuXG085F1Mix0DVIDer+EVHtwHFsVW24uCT105lTe2Y4bJMShucub+x5/OLsdKzfVxjUfSIiIqqPNm3ahLFjx2Lq1KlYsGABNmzYgNTUVNx5550VDueRgJdkbH3//ffYvHkztm7divHjx5/UdomIQoVl3SJkj78ChT9P9QS6tA0aI/bO1xF7+6sMdBGR3xjsOski9a4ik7r6UFtc2CUW1/QuzuayOVx44Mv9yDaVXDEhIiKiwPv6669VEGrEiBHqscFgwF133YX58+cjK6vsEglDhgxBq1atPI8TExPRt29f/Pvvvye1XSKiYHNkHUTeu2OR//5DcB49VLxQp0fEhTci4alvYOzcN9i7SES1DIcxVpE21rdIvS6pKWqLBy9MwYYDRapo/aEcOx755iDev74ZdFpNsHeNiIioXli/fj06duzoUztThiQ6nU78999/Koh1IoWFhfjrr78wcuTIk9quxWJRN7e8vDz1U14jt0CQ7UqmWqC2X9+wPdmetfX4dNmsKPr1SxTO/xiwlfwf0rfvgagrH4YupQVcsh7/V/jVnlS9xyeFbntqtSfO22Kwq5pmZKxNwS6jXoPXr2qCkZN2IavAgSXbTHjv1yO4e2Dx0EwiIiIKrNzcXCQl+Z53JVPL/Zw/JGNLglQPP/zwSW13woQJPkMh3TIzM1FUFJjsdekEy/5Ih9ifDiuxPWsSj8+aaU/NznXQ/vQeNFkHPMtc0YlwDr4Z9o5no0iC9hkZ1bw3tR+PT7ZnKHPW0Pm9UaNGJ1yHwa5qCnbVNilxBrw6qglu/mgvnC7gvd+OoEuzCPQ7JTrYu0ZERFTnRUREoKCgwGdZfn6+57kTeeSRR/Ddd99h4cKFPh2+qmx33Lhxqs6Xd2ZXs2bNVNAsNjYWgeoMS/aZvAeDXWzPUMPjs/q4nA5Yt62Bdv9OxCENxrZd4crPhvm7N2H9Z0HJihotws69ApEX3QJNBL+P8PisOfx7r7vtyWBXPQ12iV6to3D/4GS8Pr/4ismj0w/g27tboWkipycnIiIKpLS0NPz+++8+y2TmRPdzFZHg1AcffKAK0Pfo0eOktxsWFqZupUknNZAdVekMB/o96hO2J9sz1FjW/AbT9NfgzMlQXzpNAMwR0XDZbb5DFtM6I3rUo9A3ax/U/a1N+PfO9gxlmhA5v7N3UdWGiy0uUC+cebUz2CVu7JeIAR2Kr57kFTrxwLQDsNg4XpmIiCiQLrroIjVTotTR8i4uf+qpp3qK0MswgC+++AKHDx/2rPO///0P7777Ln7++Wf06tWrStslIqqJQFf+5EdVoMubq7DAE+jSRMUh+ponEPfghwx0EVG1Y2ZXPc7sckddXxjZGNsn7caeLCv+O1iEF2YdxrOXNw72rhEREdVZgwcPxsUXX4yhQ4fi7rvvxvbt2/HZZ59h7ty5nnX27duHMWPGeIYqTpw4UdXXcq8vNxEfH6+24+92iYgCPXRRMroqZIxA/FPfQOeVQEBEVJ0Y7KoibVxSnQh2iZhwHd64pgmuenc3imwuzPwnF6c1j8TlPeKDvWtERER11syZM/Hpp59i6dKliIuLw8qVK3H66ad7npcg1ujRo5Gamqoeh4eHq8fZ2dmYP3++Zz2pr+UOdvmzXSKiQLJtX3tcRtdxrIVwHN7NYBcRBQyDXVWkiYwB9EbAbq31wS7RrlE4nrk0FY9NP6gePz/rME5tHIYOTU5cJJeIiIgqT6/X46abblK3sjRt2lQNY3S744471O1kt0tEFEiOQ7v8Ws9VB75DEVHoYs2ukym6dmwoY10IdolhXeMw6swEdd9qd+H+aQeQY3YEe7eIiIiIiCjEuVwuFC2dA9P3b/u1vsarLAwRUXVjsOtkGi+ueIy5y5RbPKtIHfDoRcno3DRc3T+QbcO46QfgdLqCvVtERERERBSiHFmHkDfpXhR8Nh6wmE+4vjYhBYY2HF5NRIHDYNfJNF6sV5H6vCzUBUa9FhNHN0VClE49/nOLCZP/qBu/GxERERERVR+X04nCP6Yj+7krYftvmWe5vnXFgayokWOh0RZ/3yAiCgQGu06m8erIjIylpcYb8OqoJtBoih9P+iUTf28tCPZuERERERFRiLAf3o3c12+F6ZtXAUuhWqaNT0bMHa8h/qEpiLn1ZfW4dEaXLA/r2j9Ie01E9QUL1J+EuhrsEme1icI9A5Pw1oJMuFzAI98cxLd3t0LjBEOwd42IiIiIiILE5bCjcOHnMM/9UE3W5Rbe9zJEXnoPtBHR6rEEtIynnQPr1tXI2bcT8c3SYGx3BjO6iKhGMNhVbcGuTNQ1t5zTAOv2FmLR5gJVqP6BL/fj89taqKGORERERERUv9j3bUH+58/BsW+LZ5k2qSmiRz8OY/vux60vQxUN7brBFd8MhuRkaLT8HkFENYP/bU6m8epwZpfQajWYcEVjNEsszubasL8IL81JD/ZuERERERFRDXLZLDD98A5yXrquJNCl0SLi/GuQ8MRXZQa6iIiCicGuagt21c0i7nEROlWwPkxfXMDrm+U5+HF1TrB3i4iIiIiIaoBtxzrkvDAahT9PBZwOtUzXpA3iHvkYUZffB42xeCZ3IqJQwmBXtc3GWPcyu9xObRyOJ4c38jx+9ofD2HKoKKj7REREREREgeMsMqHgm1eR+9otcKTvKV6o0yNy6K2If+wzGFp2ZPMTUchisOskaKLjgWNT5tbFYYzeLu0ejxE94tX9IpsL932xH3mFxVd2iIiIiIio7rD+txQ5z41C0R/ToWarkmLPLTsh/n9fIPKiW6DRc9IqIgptDHadBCmwqI1tUC+CXeJ/w1LQsUlxmvK+ozb879uDcDqLT35ERERERFS7OU25yJ/6DPLevhfOo4eLFxrCEDXiAcQ9/CH0jVsHexeJiPzCYNdJ0sYVB7tc+dlwHRvDXleFGbSYOLqJquMlft9UgI/+rJu1yoiIiIiI6hPL6l+RPf4KWJbP9SwztO+OhCe/RsSAq9XMikREtQWDXSfbgHFJxXdcThXwquuaJBjx8pWNoSmuV4+3FmRi2Q5TsHeLiIiIiIiqQEao5H3wCPKnPAZX/lG1TBMehejRjyP2vnehS2rKdiWiWofBruqckTEnE/VB3/bRuKN/8e8toxgf/uoADufagr1bRERERETkJ5fLhaIls1Q2l3Xt757lxi79EP/0dISffQk07ivcRES1jD7YO1Db1ZcZGUuTYNe/+wrx11YTjpocGDvtAKbe2gJGPU+IREREREShzJF1EAXTXoRt03LPMk10AqJHPQzjGeczyEVEtR4zu6qpZld9KVLvptVq8PIVjdE4vngmlnX7CvF/P6UHe7eIiIiIiKgcUmO48Levkf3cKJ9AV1jPC5Hw9HSEdRvIQBcR1QkMdp0kjfcwxnoU7BLxUXpVsN6gK87mmrY0G3PX5gZ7t4iIiIiIqBT7oV3Ife1WmL59DbAUqmXahGTE3vUGYm54FtroeLYZEdUZHMZYnTW7cuvfzISdmkbg8YtT8Mz3xVMTP/3dIbRJCUOOyY4dB6xoXWBG97Qo6LQc3khEREREVNNcDjsKF3wG808fAvaSOrvh/S5H5CV3QxsRzQ+FiOocBruqM9hVj2p2eRvRIx5r9xbih1W5KLS5MHLSLjic7mdNSInTY9zQFAzsFBvcHSUiIiIiqkfsezYh/4vn4Ni/zbNMm9wcMdc8DkPbM4K6b0REgcRhjCfbgDGJwLFZSurbMEY3maXlyeGN0Di+OHZaEugqlpFrxwPTDmDhhrzg7CARERERUT3ishbB9P3byHnlhpJAl0aLiEHXIuHxaQx0EVGdx8yuk6TR6aGJSYAr7yicuZmor6Rul9XuKvM5WSrhwJfmpKN/hxgOaSQiIiIiChDbttXI/+IFODP2epbpmrRF9JgnYGjRge1ORPUCg13VQBvbEA4V7MqCy+mERlv/EuZW7TbjSIGj3Ocl4HU4167W65kWVaP7RkRERERU1zkLC2D+4R0U/TmjZKHegMghN6uMLrlIT0RUX/A/XjXV7XLs3wo4HXCZclWmV32TmWev1vWIiIiIiMg/1g1/o+DLCXBmp3uW6dM6I/qaJ6FPbcVmJKJ6h8Guap+R8Qi09TDYlRSrr9b1iIiIiIioYs6CHJhmTIRl+U8lC43hiBp+F8LPHQmNVscmJKJ6iZGHahrG6DsjY1vUN91aRqpZF6UYfdmVu4AIgwanNYuo4T0jIiIiIqpbXC4XrKt/QcHXr8JVkO1ZbjilJ6JH/w+6hk2Cun9ERMFW/4pLBYA2roHnfn2dkVGn1WDc0BR1v3huyuMV2lx45JuDsNhKTddIRERERER+ceRkIv+DR5D/4f88gS5NRAyixzyJ2HsnMdBFRMRgV2CGMdZXAzvFYuLoJkiO800YjI/UwV2z/5eN+bjj030wWcovZk9ERERERMdncxX9/SNynr0C1nV/eJYbTz8XCU9PR3jvi6HRlHfZmYiofuEwxmqgjUvy3LdtXQ1rWhcY2pxeL8fIS8Crf4cY/LPThB0HjqJ1k0R0T4vC8h0m3PvFfhRaXVi+w4wbP9yLD65vhvgoHoJERERERBVxZO5HwbQXYduy0rNME5OI6FGPwNi1P4NcRESlcBhjNbDLTIzH2DYtQ97E25H9+MWwrPkN9XVIY4+0SPRvb1Q/5XHvttH46KYWiI0oPuQ27C/CmMl7cDjXFuzdJSIiIiIKSS6nA4W/fons56/yCXSFnXkREp76BmFnDGCgi4ioDAx2nSQJaJm+eum45c6cDORPfrTeBrzKclrzCHx2awskxRRnc+3MsGLM+3uw54g12LtGRERERBRS7Ad3IPfVm9Vsi7AWqWXaxEaIvectxFz3DLTR8cHeRSKiuhXskvHi+fn5VXrdkSNHqvTaUL3SYpr+WoXrmL59Xa1Hxdo2CscXt7dAs0SDenwwx4YxH+zGpoPFJ3AiIiIiovrMZbfB/NOHyHnxGth3b/AsDz/3CsQ/+TWMHc4K6v4REdXJYNfEiRPRsGFDNGjQAKmpqfjss8/8fu3zzz+PpKQk3HDDDagLbNvXqgyuijiz09V6VKJpohGf394S7RqFqcdZBQ5cP3kPVu02s5mIiIiIqN6y7d6InJeuhXn2B4DDrpbpUlog7sEpiL7yYWjDo4K9i0REdS/YNWPGDDz22GP4/PPPUVhYiJdffhk33ngjFi9efMLX/vXXX5g6dSrOPvts1BUuP2de9He9+kSGMk69tQVObxGhHhdYnLj14734c3NBsHeNiIiIiKhGuaxFMH33FnJfuRGOA9uLF2p1iBh8PeIfn6YmvyIiogAFu95++21ceumlGDJkCHQ6Ha699lqceeaZmDRpUoWvy87OxpgxY/DJJ58gLi4OdYUmrmG1rlffxEXoMOXG5ujTtvgKVZHNhXs+34e5a3ODvWtERERERDXCtnUVsp+/GoULP5c6KWqZrmk7xD86FVGX3AWNoXg0BBERBSDY5XQ6sWLFiuMys8455xwsX768wtdK9tdVV12Ffv36oS6RKyza+OQK19EmpPBKTAUijVpMurYZLuwSqx7bncCj0w/iq6VHq/fDIiIiCjHuLHm5kHj99dfjjz/+OOFrzGYzPvroIwwbNgzPPvvscc/v378fF1xwwXG3tWtZUoEo1DgLC1Dw5UvInXg7nJn7ihfqjYgcfifiH/sU+uanBHsXiYhqreJp8fxQUFCAoqIiVXPLmzzOzMws93WS9bVv3z5Mnz7d752yWCzq5paXl+cJuMktEGS7UkC/ctvXIHLkWBRMeazcNSJHPAAXNHAFaL9DVWXaU68FJoxshOgwDb5dmQuXC3h+VjpyzA7cem4ip1Ou8vFJ1XF8UsXYltWL7Vk721Orrfx8P7JfkikvE/c8/PDD2LZtG84//3zVX7rsssvKfM3BgwfRo0cPDB48GBkZGVi9enWZ/bWff/5ZlZyQGqtuzZo1q/Q+ElHgWNf/hYKvJsCZXVL/V5/WBdFjnoS+UUs2PRFRTQW7NBqN+ulw+M4saLfby+3kbdmyBY8//jh++ukn5OYWD02z2WxqfencJSYmlvnaCRMmYPz48cctl6CaBNwCQTrCso/S+axUp7VxR2iuGAft/MnQ5GV5FrsiY+EcehdyGncEMiouYl8XVaU9bztLAwPC8eXK4s940i9HcOhIPm7vFwHtseOvvqry8UlszwDjscn2DGU1dXw2atSo0q+ZPXs2Fi1ahB07dqBVq1ZqWU5ODh555JFyg10JCQn477//VEmIESNGqD5Yec4991w0bdq00vtFRIHlzM+G6dvXYFn5c8nCsAhEXXI3wvuNgIb9PCKimg12xcTEqFt6errPcnksszKWZefOnTAYDBg+fLhPlpYEzk455RSsWbOmzCuN48aNw9ixY31eI+tJFllsbPFwt0B0iGW/5D0q3SFOvgSuvsNQOO9jFP30oVoU1vMCRJ9zCeqrqrbnuEuAxg2P4v/mFWcLzlxrgU0ThvGXNoJeV38DXid1fBLbM4B4bLI9Q1koH5/z58/Haaed5gl0icsvv1xlxEuWV9u2bY97TUREhLr54/7771dBvvbt2+P2229H8+bNq3X/iahy5O/R+s9CFEx/Fa6CHM9yQ4czEX31/6BrUPb3KSIiCnCwS/Tt2xe//PILHnjgAc+yBQsWqOXetSQk+0qyti688EKVweVt6NChCA8PVzM7licsLEzdSpOOaiA7q9IhrvJ7aLWIHHA1iuZ/AjgdcGxaHnId65pW1fa8oV9DxEXq8fR3h+B0AbPW5KnZGv9vVBOEGepvm57U8UlszwDiscn2DGWhenzu3r37uAt+7kwsea6sYJe/ZKjjgAEDEB8fr4ZFnnrqqaoemCyv3eUjiO1ZM6r7+HTmZMD09SuwrS+ZwV4TGYvIy++HsdcQ9X+qLv8t8O+d7RnKeHzW3RISlQp2PfbYY+jfvz9ef/11VRh16tSp2Lp1K7766ivPOq+88greeOMNlYpf32gjY9RYe/v2NXCk74Ejcz90SRxCUBWXdY9HTLgWD399EDaHC7/9V4Dbp+7D22OaIjpcV+2fHRERUU2yWq0qY95bZGSk57mqatmyJZYsWQK9vriLJxMESYF6yZhfvLjki3atLR9BbM8aUG3Hp8sFzeoF0C78GBqLuWT7HfrAeeFtyI1OkD801HX8e2d7hjIen3W3hESlM7u+//57vPDCC3jttdfUVUcpgtqhQwefjlqDBg3K3YbUmSgra6uuMHY8SwW7hHXjEkSce0Wwd6nWGtgpFu9fr8Pdn+9DodWFFTvNuPHDvfjghmZIiKrUoUtERBRSJOvq6FHfmYezsrI8tbmqSrLnS5NC+FIiojy1rnwEsT0DrDqOT7nobfrqRdi3rvIs08QkImrUIzCefh7qE/69sz1DGY/P6uNwuvDPLhN2ptuQpo9G91ZR0GmDV4qo0hEDGYYot/JIYVW5lWfatGmoy4wde8P847vqvnXjUga7TtKZbaLw8c0tcPsn+5Bb6MDGA0W49oM9mHxjc6TGG6rjIyMiIqpxp59+Ot5++23VyXZ/mZZappKR5X0RsTpIUM1oNNat8hHE9gywqh6fLqcDRb99DdOs9wBbyfDgsLOGIery+6GNCkwAOdTx753tGcp4fJ68hRvyMGFOOtJz3ZPnmJESp8e4oSkqiSUY2LuoZrqm7aCNK57q27ZlJVxeJzmqmi7NIvDZbS2QHFscm92ZacWYD3ZjdybbloiIaqerr74a2dnZ+Pjjj9XjwsJCvPnmm2pSH8n6Env27FFDENeuXev3dr/77jvs37/f81jKTbz77ruq+D0RBZb9wHbkvnoTTDPf8AS6tImpiL3nbcRc+1S9DXQRUd0PdD0w7YBXoKtYRq5dLZfng4HBrgBEhQ0dexc/sFlg27a6ut+iXmqTEoYvbm+B5g2Ks7kO5dgx5oM9+O9AYbB3jYiIqNLS0tIwZcoUNWviGWecoWZllPoW77zzjmed/Px8VS7Ce7KfESNGqADYX3/9haVLl6r7ssy7XMSgQYPUTI+9evVSP2XCoIkTJ/JTIgoQl90G85wpyJkwBvbdG4sXajQIP+9KJDz5NYwdzmTbE1GdHbr44ux0uMp4zr3spTnpar2axsJHARrKaFkyS923blgCY4ezAvE29U6TBCM+v60lbv1kL7YcsuCoyYEbpuzFO9c1Q/dWxUV9iYiIaovrrrtOZXJJ5pYEqWRoo1w08y42P2/ePHTt2tWz7I477oDNZvPZjsFQMqxfZmFcv349Nm/erGpvSX3Vhg2LM86JqPrZdm9EwefPwXFwh2eZrlFLRF/zBAytT2OTE1Gd4XS6sD/bhq2Hi7D1sEXd/t1biIw834wubxLiOpxrx6rdZvRMi6rR/WWwKwAMp/YCtDrA6VBF6oEHA/E29VLDGD2m3tICd366D2v2FKLA4sStH+/F61c3wbmn+s5qRUREFOpkyOK5555b5nPR0dEqc8ubBLNORKfToWPHjtW2j0R0PJe1SNXlkvpccDmLF2p1iBh0HSKH3AiNoe5OyEVEdV+OyY6t6RZsO2zBlsPyswjb0i1q4riqyKwgIBYoDHYFgDYiGvrWXWDftgbOjL1qNhZdUtNAvFW9FBuhw5Qbm+OBafuxeKsJFrsL936xHy+OaIyhXeOCvXtEREREVIdZt/yDgi+eh/PIAc8yXbNTEDPmCeibtQ/qvhERVYbV7lQ1sbcesmBrepH6KUGtirK1vOm1gP1YvL8iScfqb9ckBrsCxNixjwp2Ccnuijj3ikC9Vb0UYdTirTHN8PiMg/hpXR4cTuDR6QfVjI2jeycGe/eIiIiIqI5xFhbA9N2bsPz1Q8lCvRGRQ29FxPmjodHxqxURhSaXy6XqXssQRAlmSVkg+SmTvvkTrBJNEwxo2ygM7dQtXP1skmDAha/tUMXoy8r5kuIMMitjt5Y1X3aI/5EDWLfL/MMkdd+64W8GuwLRxnoNXr6iscr0+npZtlomxfFyzQ7cMaChT90TIiIiIqITcTkdsG1dDc2+nbA1S4Ox3RnQaHWw/PsnTF++BGdupmddfZuuiLnmcehSWrBhiShk5Bc51PDD4rpaxfW1tqdbkF/kX1QrNlyLdqnhaJsShnapYWiXEqaCXFFhujLXHzc0Rc26KN++vQNe7m/jjw1NgU5b89/NGewKEF2TNtDGJ8OZkwHb1lVqXL/GGB6ot6u3tFoNnrg4BXERWnzwe5Za9s6vR1SG16MXpajniYiIiIhOxLLmN5imv6b67/KVLl++rMU1hK5hE9h3rPOspwmLROSldyO87+XQaDm5PREFh83hwp4jVp+C8RLkOpjjO5FNefQ6IC2pOFNLglntG4Wrnymx+koljgzsFIuJo4EJc9KRnlsy/FEyuiTQJc8HA4NdASIHh6HjWbD8/SNgs8C2bbXK9qLAtPW9g5IRF6nDK3Mz1LIvlmQjr9CJZy9PhUHHgBcRERERVRzoyp/86HHLXblHYM894nls6HAWokf/D7rERmxOIqqxIYiZ+XafgNaWw0XYmWFVAS9/NIrTHwtqFQ8/lFvLhmFqtFR1kIBW/w4x+GenCTsOHEXrJononhYVlIwuNwa7AkiCWyrYpYYyLmGwK8CuO7uBGtL41MxDcLqAWWtykVfkwGtXNUG4gVfdiIiIiKjsoYuS0VUhjQZRY55C+JkXsVQGEQWM2erE9sMlxeJlRkT5KSOX/BFp1HqCWW2PZWu1aRSGuIiyhyBWJwls9UiLRIvoAiQnRwZ9lBWDXQFkOKWnmoIYTocqUk+Bd2m3eMSG6/DgVwdUlPuPTQW4/ZN9mHRtU0SHB/4PnIiIiIhqF9v2tWroYoVcLugapDLQRUTVwuF0YV+WFVuOZWoVF40vwv5sm/y7OSGJI7VMMh6rp1WSrdU43hD0IFOoYLArgLQR0TC0OV3V7HJm7oMjYy90yc0D+ZYEYEDHGLx/QzPc89l+FRlfucuMG6bsxQc3NENiNA95IiIiIvIdqlid6xEReTtaUDIE0V1fa0eGBUU2/4YgNozRoV1KuCoWL0Xj26eGIy3JiDCOXqoQv/kHmKFjbxXscg9ljOjPYFdNOLN1FD6+uTlun7oPOWYH/jtYhGsn78HkG5uraDcRERERkUwiZVm/2K+GkGL1RETlsdicKojlydY6Vlsrq8C/IYjhBg3ayAyIKkuruFi8ZG4xYaNqGOyqgbpd5u/fVvdlKGNE/1GBfks6pnOzCHx2Wwvc8tFepOfZsSvTijHv78aUG5sjLTmM7URERERUj1k3r0DBlxPgzNx/wnW1CSlqxAYRkdPpUjMeemdrSWBr9xGrqh19IjLRYbNEgwpoedfWappoCGpB97qGwa4A0zVuDW1CMpzZGSrDS64eaYzhgX5bOqZ1chi+uL0lbv5oL/ZkWXE4164yvGRI4ymp4Vi124zMPDuSYvXo1jKS/1yIiIiI6jhnQQ5MM96AZfnckoXH6uyWJ2rkWGhkHSKqV6QwvMrQOlSk6mpJsXj5KeVy/BEfqfPU03Jna0n2lhSSp8BisCvANBqNGspo+esHwG5VAS9jpz6Bflvy0jjBgM9vb4FbP96LzYcsyDY5MOb9PYgM06r7bilxeowbmqKmTSUiIiKiusXlcsGy/CeYZkyEy5TrWa5v0xXRV4+D4/AuNSujd7F6yeiSQFdY1/5B2msiqgk2uwu7s4oztIpnQCwObkmyhD8MOg1aJxs92VruW8MYPSe2CBIGu2qAsWOf4mDXsaGMDHbVvAbReky9tQXu+nQfVu0uhMXugsXue/UuI9eOB6YdwMTRYMCLiIiIqA5xZOxTQxZtW1Z6lmkiohF12b0I6z0cGq0W+tRWMJ52DqxbVyNn307EN0uDsd0ZzOgiqmNBbwlguetpyRDETftN2JedDbt/yVpokmDw1NNqlxquisa3aGhUAS8KHQx21QDDKT0AnR5w2GHd8DdcVzzE6G4QxITr8O51zdD3hW2w2o8fTC1L5N/TS3PS0b9DDIc0EhEREdVyLocdhQs/h/mnjwCbxbPc2G0gokeOhbZU0XkZqmho1w2u+GYwJCerIBgR1U4FRQ6VnbWtVG2tvCL/olox4drioJZXtpYEtqLDOaS5NmCwqwZow6NgaH06bFv/gfPIATgz9kKX0qIm3ppKkVkZywp0uckzEumXWl4906LYfkRERES1lG3nehR8+SIcB7Z7lmkTGyH6qsc40oKoDrE7XKo+sztbyx3cOpBt8+v1Oi3QKsl3CGLbRuFIjeMQxNqMwa4aYujUWwW7hGR3RTDYFRRSjL461yMiIiKi0OIsLID5x3dR9OcMGbNUvFCjRXj/UYgaehs04ZHB3kUiquIQxCMFDk89rS2qWHwRdmRYK0xo8JYSq/cEs+RnmxQDol25aJKaAi0zOesUBrtqiLFjb5i/e0vdt25ciogBV9fUW5MXmXXRHwZmphIRERHVOpa1f8D0zas+ReZ1zdojZvTj0Lc4Naj7RkT+K7Q6sV2GIKZ7zYR4uHiyMX9EGDVol1I8+6F3tpbMjujN6XQiIyOPH00dxGBXDdGlpqm0aefRw7BtWw2XpRCasIiaens6plvLSDXrohSjryj2/9TMQzBbXRh+RhzrqxERERGFOEdOhgpyWdf+UbLQGI6oYbcj/LwroZH6uUQUcpxOF/YdtXnqaW05XFxja+9RqycxsyJaDVRxeHc9rfZSML5RGJrEG6CVJ6ne4n/9GqLRaFR2V9Hi7wC7VQ1pNHbuW1NvT8fotBqMG5qiZl2Uf33l/f/Mt7jw+IxDmP9vHp65LBWN4gxsQyIiompgt9uxcfEyZO3bg/RmLdCx75nQ69klpapxOR0o+nOmGrboKjJ5lhs69kb0VY9C16Axm5YoRGSb7Co7q7imlsyEaFHZW4U2/4YgNojWqbpaEtRql1qcrdU6OQzhBk4kQcdjz6IGGdzBLlW3awmDXUEysFMsJo4GJsxJR3puSW2uRnF63DMwCcu2mzB7bXEq6+KtJgyfuBOPXJSCy7ozy4uIiOhkrPhxLmIXvoUmjqNoIguWAttnJiJv4L3oOfwiNi5Viv3AdhR88QLsuzd4lmliEhF9xYNqtkW52ExENc9qd6o6WqWztTLz/auLHKbXoE2Ke+hhGNpLgKtRGBpEM3xB/uPRUoOM7XsAkkLtsMO6cYkqsMeTcPACXv07xKhZF6UYvdTykiGOkvl1Sbd4DO4Si/HfH1b/kAssTjz13SHMX5+H8ZelonE8s7yIiIiqEuhqNf+Z47KqEx1H0WD+M1gBMOBFfnFZi2D+6SMULvwccJbU7wnrMxxRl94DbVQcW5KoBsj32YM5MgTR4pOxtfuIFQ6nf9tolmg4VlOrpL5W8wZG9b2M6GQw2FWDZOYXQ5uusG1ZCWfWQTjS90DfqGVN7gJ5kX+gPdOiymyT806NwRktI/HK3HT8sCpXLVuyrTjL6+EhyRjZM56BSiIiokoMXZSMLgl0lR5sIo/lO1Hswrdhv2gwhzRShayblqPgq5fgzNxf0qdLaYHo0f+Doe0ZbD2iAMkrdBQXiXfPhChDEA9bVGKAP+IiZAiib7ZW65QwRIVxCCIFBoNdNczQqbcKdgnbxiUMdoUw+Yf8wojGuKBzLJ7+7hDS8+wwW50Y/8NhleX17GWpaJpoDPZuEhERhbz//lqGxo6j5T4vX3UaOrLUel3OPbtG941qB2dBDkwz3oBl+dyShTo9Ii64AZGDr4fGwD4ZUXWwOVzYnWnxydbacrgIh73Kv1REr4Oqo9VO1dUqrq/VPjUMSTF6JgtQjWKwq4YZO/aBeeab6r51w9+IGHB1Te8CVVLf9tH48YE0vPpTBmauzFHLlu8w45I3d2LsBckY1SuBM30QERFVwHwks1rXo/o1TMqy/CeYZkyEy1ScbS/0bboi+upx0Ke2Cur+EdXmv62MPLtXUKtIZWvtzLTAXjI6uEKp8Xo1/NB7JkSZGdGg4xBECj4Gu2qYrlFLaBNT4Tx6CLbta+AqMqvhjRTaYsJ1KpNrcKcYPP39IRzKsaPQ6sILs9KxYH0+nr08VY0tJyIiouNFNkyq1vWofnBk7EPBlxM8oyKEJiIaUZfdi7Dew6HRcvgT1S8Opwv/7DRjxwErWheY0T0tyq/aViaLU8166J4B0Z2tlVfo3xDE6DCtp56Wu7aWBLdiI3TV8FsRBQaDXTVMCtIbO/VWUyTDboN16z8I69KvpneDqqhPu2j8cF8aXp+fgW+WF2d5rdxlxmVv7sR9g5Mx+ixmeREREZXW4ewzsX1GoipGX1Z4Qmp5ZWgS8XNBK3R0uliYuJ5zOeyq+LwUoYfN4lkuMyxGjxwLbVzDoO4fUTAs3JBXajZ5E1Li9Bg3NEVNvuUOhu3Nsvpka8nPfUdtfr2HTgu0bGj0ZGu5g1uSwcWJ1ai2YbArCAwdjwW7ZEz0hiUMdtUy0eE6PHVJKgZ1ilWzNB7ItqHQ5sJLc9KxYEMenr+8sUrfJSIiomJ6vR55A+9Vsy5KHkHpgJfkJcwOOxef/52HPUedePnKJixaXE/Zdq5HwZcvwnFgu2eZNrERokc9CmNn1nOj+hvoemDageNms5XA1/3TDqBnWrYne8tiL71W2ZJj9So7q12q1NcqztZqnWyEUc+MSaobGOwKAmP7HoDeUJzZtXGJGi/NSHntc2abKHx/Xxomzs/AV8uy1bLVuwtx6Zs7ce+gJIzpk8gr00RERMf0HH4RVqhZF99CwzKK1V9g/RvfhA3B75sKMOaD3Zh0bTM0jjew/eoJZ2EBzD++i6I/Z0gxoeKFGi3C+49C1NDbWPaD6q2jJjue/eHwcYEubyt2mst9LsKgQZtjxeKLi8YXF4+Pj2IogOo2HuFBoAmLUFMj2zYtV7W7HId3QZ+aFoxdoZMkU+U+MbwRBnWOwVMzD6kUYbmaIsXspZbX8yNSkZYcxnYmIiI6FvCyXzQYGxcvQ9a+PWjQpCmarfoUzl3r0dSZjlvtP2CS4QpsOWTBqHd2YdKYZujSPIJtV8dZ1v4O0zf/B2dOhmeZrll7xIx+HPoWpwZ134hqSo7ZgR3pFuzIsKgMLfUzw4Ij+X5Wi0fxEMSS2lrFQxCbJhg4mRbVSwx2BYmxY28V7BKS3cVgV+3WMy0K392Xhjd/zsC0pdnqguS6fYW4/O1duOv8hrj+7AbQc1YSIiIiNaSx8zm9kZHRBsnJyXB2aI6cF0erjPcRhfOwLr43FpuaIqvAgeum7MELI1Ix5LQ4tlwt53I6YNu+Fq7cI9DENYShzelw5h5RQS7ruj9KVjSGI3LYbYg4bxQ0On5Vobonx2TH9gyrb1Ar3aL+550Much+abf4attPotqOZ5Ag1u3CjImeul04/5pg7QpVk0ijFuOGSZZXLJ6ccQh7sqyw2l2YOD8TCzfk44URjVUKMREREZXQp7ZC5IU3wTz7fWicDjzv+gQPt3wOK3YXn0cf/vogdmZY1cUjln2onSxrfoNp+ms+mVsyq6LLbvMpQC/94+irHoWuQeMg7SlR9cmWoJYKZlk9QS25VSaolRClQ3KMHlsOl/ydlKdJAod9E3ljsCtIdCktoG3QGM6sg7BtXwNnkQna8Khg7Q5Vo24tIzHz3laY9EsmPv3rqMry2rC/CCPe3oU7BjTEjf0awMAsLyIiIo+IQdfCsvqX4qLkB7fhrW5/4pWGg/HdP7nq+fd+O4LdR6wqcyHcwOLJtS3QlT/50eOWuwoLPPc1MYmIvuJBNdsiA5pU2xwtkEwtixqC6M7YkvtHTf4HtRKjdGidIgXiw9Am2ajut0kOQ2K0Xs2wOPCV7cjItZdZt0sm+JBZGeU7CBGVYLArSORELkMZVRFOhx22Lf8g7LRzgrU7VM0ijFo8PCQFAzvG4ImZh7Ar0wqbw4W3FmTilw3Ftbzap4az3YmIiKRfpDcg+ponkPvKjTLeDZZ5H+Lpx89DWlIyXpufoS4czfs3D/uPWvH2mKbqC+Cq3WZk5tmRFFv8JU+nla98FGpDFyWjq0LGCMQ/+RV0MYk1tVtEVZJVYPcaemg9FtyyILsSQa0G0ToV0FJBLRXcMqr78j+tPPK/bdzQFDUbo/yX8w54uf/rPTY0hf8DiUphsCuIjJ36FAe7ZCjjxiUMdtVBp7eIxIx7WuGdX45g6uIsOF3AfweLcMU7u3DbuQ1x87kNYdSzc05EVJ+ZTCaEh4dDp9P5/Zrc3FxotVrExMRU63aDydCyIyIGXIXCX6YBdisKvngB14/9AC0aGvHINwdQaHVh/f4iXPLmTvWlznsokGQ1yJfBgZ1ig/o7kC+p0eU9dLFM1kI4Du1isItCgsvlUv9bvOtpqcBWFYJaxcEsd1CrOLCVUMUZEOV/28TRwIQ56UjPtfv875NAF//3ER2Pwa4gMrTvDuiNqkNn3fC3+ufK1O26R4ZbPHhhMgZ2isETMw6qE6bdAbzz6xH88l9xLa9TGzPLi4iovlm+fDluvvlmbNmyRQWuxowZg0mTJiEsrOz6jg6HAzNnzsR7772HP//8E8OGDcMPP/xw0tsNJZHDbodl7R9wHjkA+461KFr8HfqfMwJf3N4Sd326D4dz7cgxO497nQzvkawH+TLIL32hwWWzwPL3j/6tm3sk4PtD5HPMuVw4ciyo5TsDolXNiuivhjE6NdywdFArvopBrYrI/7b+HWLwz04Tdhw4itZNEtE9LYoZXUTlYLAriDTGcBjangHbpmVwZqfDcWgn9I1bB3OXKIC6NItQWV7v/XoEH/2ZBYcTnqnVJcPrtvOY5UVEVF8cPXoUQ4YMUYGolStXYu/evejfvz8ee+wxTJxYPIFNafv27cOMGTPw5JNP4t1334Xdbq+W7YZa3yh69OPIe/NO9dj8/dswdj4bp6Q2wrQ7WuKCV7fDVsb3UBnWI3nSL81JV18GOaQxeKTofNGSWSic9/GJs7qOkdkZiQIW1Mq3+xSJL66vZUVuof9BraQYfcmwQ09QKwzxkTWbOSv/23qkRaJFdAGSkyOh5fBtonIx2BVkxk69VbBLWDcsYbCrjjPqtbhvcDLOV1leh7D1sAV2J/D+b0fw68biWl6dmkYEezeJiCjApk2bBovFgpdeekkNNWzXrh0eeughPPHEE5gwYYJaVlrLli0xffp0dV+CXdW13VBjPKUHwnoPh2XJj3BZzCj46mXE3vk69mZJ/cvyXycBL8n8klpePdM46U8w6nNZls+Dee4UNQGTv7QJKTC0OT2g+0b1I6iVWTqodexnXuHx2aDlSY7Vq0yttGRjSaZWShjiImrHcHAiKsFgV5BJkXrTt6976nZh0Jhg7xLVgI5NIvDNXa0w+fcjmPLHERXw2pZuwdXv7VazNd45QLK8ONsUEVFdtWzZMnTv3t0n+HTOOeeoOlsbNmxQz4XSdmta1OX3wbbxbzhzj8C24S9YVv6MTONZfr12xoocpCWFoWEMu7k1weV0wrrmV5jnTIbj8G6f54xd+kHf9gyYZ75R7uujRo6FRstAAlUuqOUecuipq5VuQV6R/0GtlFh9yeyHKcVF4uUWy6AWUZ3BXkCQaZObQ9uwiapNYduxFs7CAmgjooO9W1QDpDD93QOTMKBjDB6fcVANaZShjVP+yMJv/0mWV2M19FGmG/5npxk7DljRusDMsflERHVAZmYmkpKSfJa5H8tzNbldyQSTm1teXp766XQ61S0QZLvypbXc7YdHIfKKh1Ew5VH10PTta0ge84lf2567Lg/z1+ehb7toXNotFn3bR8Ogq9uTwZywPQNA3k8CkYWzP4DjwDaf5/Sn9FT11/QtO6rH2sRG6uKuy2tYoyYhBVEjHoDhtHNrdL9DtT3rKtWP3WXCzgMWpOUXoHsr/2pMSftn5BVnankXiZef+ZUJasVJppYRaRLUOvZThiLGhJcdYK0NnzmPT7ZnKHPW0P9PqUl6Igx2BZkUpFezMv4xHXDYYduyEmGnnxfs3aIaJMXpJctLMrw++P2IKl4vJ/LR7+3GOadGY+P+InWyL2bijFNERHXk/C8F5725a3D504Grzu3K8Mbx48cft1yCY0VFRQgE6QTLjJLSIS73923cAdoOfaD972+4CnLQfPEbSIq+GZkFMmCxYnLx6I/NBeoWH6HBwFONuKBDGFo2qJsZRH61Z3WRCZV2rYP2ty+gObDF96nmHeA47xrYW3aGOnIyjgW3GncE7pkMzd7/gPyjQEyiWjdHMrrc69TX9qzDFm+34p1FZq+/WTOSojW465xI9G1j9CoU78Luow7syXIU/1T3nTBZT/y37pYcrUGLBjq0SNSpv3P5KbeoMO/AmlXdCvOgbrUVj0+2Zyhz1tD/z0aNGp1wHQa7QmQoowp2yb/fjUsY7KqH5IrznQOScL5keX17CP8dLILTBfz+X8Fx63LGKSKi2q9x48bYunWrz7L09HT1MzU1tUa3O27cOIwdO9Yns6tZs2YqIyw2NhaB6gxLYE7eo6LOsPOax5H7/Ci4zHnQbViEl4YMxM1LmqvnvL8Gu7/OjhuarIY4/bg6Dxn5xUG+nEIXvl1tUbcuzcJxyRlxuKBLTLmZHbWRv+15smw71qFw9vuwb1vts1zX/FREDLsdhlN7VTyzeKOqH9t1sT3rsl825mP83Gyfv1Mhga9n5prQM82FIpsTOzOsKLD4nwGSGq/3zHjo/pmWZER0Hfp7PhEen2zPUOYMof+fDHaFAEO7boAhDLBZYNuwREVBK+woUJ3VrlE4vryzJT5adARvLyx7Gm7OOEVEVPv169cPX375JXJychAfH6+WLViwAA0aNECHDh3UY8nQys7ORlxcHAwGQ7Vtt7SwsDB1K006qYHsqEpf50TvoU1IQtSI+1Hw2bPqcbulb+PNkVPwwoICpOfafYYqPTY0BQM7FQfn7hmUjCXbTPh+VQ5+/S9fZU2Lf/cVqdsrP2VgYMcYXNo9Hj1a1Y0Zzfxpz6qy79kE06z3YPtvqc9yXePWarii8bRz6lzfNZDtWVcVWp04mGPD/iwrnvru8HGBLm8rdpor3FbjeIMKZKki8Z7ZD42ICqs/Qa2K8Phke4YyTYj8/2SwK0Sm2Ta0PUN1IGSKZsfBHdA3aRPs3aIgZnmd0TKywnU44xQRUe02atQoPP/887j++uvx4osvYvv27Xj11VfVrIl6fXH3bNOmTejcuTMWLlyI888/Xy07evSoumpqtVrV8MQjR46ozmRiYqLf261tws4cqgrU2zYthzM7Hb22fIaFjzyiZl3MzLMjKVaPbi0jfeoAyX2p1SW3bJMdc9fm4btVOao+piiyuTB7bZ66NU0w4JJucRjeLV59wfauNVTRe9QH9gPbVeF569rfj6s5GzX0Vhi7nc/i8vWIZGIdzLbhQLZNBbXUT/XYqu5nFVQwXWo5miQUB7U8xeKPzYTIoBYRnaza2eupo0MZ3VfLZCgjg131m3Ss/fHhH1loGK1XxTaJiKj2iIiIwK+//oqHH34YgwYNUtlbTz/9tM9wQglOSUaW0Vhc20b06NFD1cJwO+WUU9Rrd+zY4fd2a+MV4uirxyH7uVGAtQhFf85AWPdB6Nm2q1+vT4jS45o+ieq26WARvvsnB3PW5iKvsHjo1P5sGyb9cgTv/HoEZ7WOwqXd49Ty/5uXcVz22Div7LG6zJGxVwW5LP8sUDW63KTQfORFtyCs1xBodPwaUddYbE4ckswsTxDLK6CVY8WR/MoHsyry3OWpuKx7cQYqEVF141kqREiReplpSFg3/I3IQdcGe5coiOQKsj/+3mbCsIk70TMtEqPOTMB5p8aoWR6JiCj0tWzZEt9++225z0sgSzK3vLmDWiez3dpI17AJoi6+A6YZE9Xj/M+fQ/Soh+Ey5UET1xCGNqf7lWEkk8I8fnEjPHRhMn7fVKACX0u2m1Q8R25yX25lqQ81Mx1HD8M890NYls0BnCWBDU1sA0ReeCPC+1wCjaEk+Eq1i9UuwSy7ysTyDmi5f0q9u6qQEazJMXo0TjCoTEkhWZMn0jTRv+HZRERVwWBXiNAlN4M2qRmcmftg37EOzsICaCOig71bFCQyVEKuIEvH2p95aKTugdwaROtweY94jOyZ4DMUg4iIqLYLP+9KWP5ZCPvuDaq/lPf2vZ7ntPHJiLriQYR17e/XtsIMWlzQJVbdJJNl1ppcfP9PDvYdtZX7Gvf5+IVZh3HuKdEw6OtOLSdn7hGY53+Cor++B+wlbaCJikPE4OsQcc5IVXaDakcwq3iIYfHQwgNHJSurOKBVMrt35SXHFgezmsQb0CTRoIYfNkkwqv6mFI03ev09yBDgFbvM5fZj5bKs9HOlv0tEFCgMdoXcrIzfqCtpts0r/O6wUd0jNUFkqIRcQdaUM+PU8yNSkWN2YPryHOzJkqmUoWolTP49Sw1vlDolo3oloE+7qHpXY4SIiOoeydwydh+kgl2lSc3T/MmPAre+XOn+U2q8Abed1xC3nNMAXyw5ipfnZlS4fma+A73Gb0W7RmFo2yhMFdBue+zWMEZfqwq1OwtyULjgMxTKrOC24npmQhMRjYjzr0F4/1HQhkcFdR+phNXuwuFc7yGGVnXfnaUlM5B6jTqtlKQYvQpgqYDWsZ9NjwW0GsXpVYC4OvuxMqEE+6dEFEgMdoUQY6djwS41lHEJg131nAyRkKESE+akVzjj1HVnJ2L5DjO+Xp6N3/7Lh8MJOF3Aos0F6iYdlpE941VNhAbR/JMnIqLayeV0oOiXLypcx/Tt68UzA/oxpLE0mZHR3/Okxe7C+v1F6uYtLkKHNinGkgBYo3C0STYiPiq0zr8ygqDwl2ko+u0ruIq8hm2GRSDivFGIOH80tFHFtcuo5tgcxcEs76GF3gXg0/OqHsxqGKNDk3ijJ5jlE9iKN1QqmFWd/VgiokAJrTNvPSczMsIQpq6s2TYugcvlqlVXB6n6SUegf4cY/LPThB0HjqJ1k0R0T/PN1JJj5Mw2UeqWkWfDzJU5mLEyB4ePdSykc/TGz5mY9EsmBnaMxZW94tG9VSSPLSIiqlVs29eqDK6KyGyNsp6xXbeA1sxMitGpDK/ScgsdWLW7UN1819er4Fdrryyw1ik1P+Ocy1KIwj++QeGCz+Eye9VU0hsRfs4IRA66DtrY4pk96ysZgvfPTjN2HLCidYH5uH7XybA7XEjPs2H/0VIF4I8NO5SgkFywrAopZSFBq6aJJQEteewOaoVXczCruvqxRESBwmBXCJFaCIb23WHb8DecuZlwHNgGfdN2wd4tCjLpEPRIi0SL6AIkJ0eqK8/lSY414I4BSbjl3Ib4c0sBvlmerYrYy1VAuwOY92+euskUz1f2SsCwrnGIjajZjjYREVFVuHJ9i/WXx5l1KGA1M921hhY80gZFNhd2ZliwPd2CbenFP+Um2TelSeFvuZUufi+BCMkCc2eCyc+0JGOlsmz8Cc64bBYULf4O5vlT4co/WvKEVqeKzkcMuRG6+GTUdws35JXKRDJVahZOCWZJXazyCsBLoEsy8KsiMUpXaoih0XNfgloRRm2t78cSEVUnBrtCsG6XBLuEdeMSBruoSvQ6jbqSJrd9R634dkWOmnEq21R8FXpHhhUvzk7HxPkZGHJaLK48MwEdm0SwtYmIKGTJrIv+MM18UwV3wntfDI2+cpO1VKbWUFSYBp2bRahb6ewud+Br22ELtmcU/5Q6m6W5M3uk7ICbxAJaNCwZCukOhrVoYFTn99LBmZdmH0KjrI1o4MrBXE08DjfoiMeGpargjMthR9GSWSj86SPfrDiNFmG9LkTkkJuhS2qKmiBBuVW7zcjMs6sMOgkshlKGj7SlfO6uCmbhlH6VBDM9QwuPFX93B7RkCGJVg1kJEsw6lonlHdBSwawEAyJDNJhFRBSqGOwKwWCX+5qfBLsiB18f5D2i2q5ZohFjL0jG3ec3xIIN+Srba/Wx4RWFNhdm/pOrbp2ahqtsrwu7xIbs1UEiIqq/DG1OV7Munmgoo8uUA9NXL6nC65EX3aKCOpWp4XWytYakbpcEcrxnmpPSFDKJjDsLTGWCHQuEmSy+0REZxrYr06puCzfkl/z+Og1aJRmP1QILQ36RE1sXzsfbhdOQ7CrJ1sowJ+KdT65G4llRaLXuCziPHPDZvrHb+Ygcehv0jVoieBlTqFTGVKCDcPlFDjXLZlnZfO5lD35Z3I6OKg4zjI/UHVcnqySwJUNa2fciIqpOGpecfUNcXl4e4uLikJubi9jYwJwQnU4nMjIykJycDK02uCeb7KcvhyNjr0otT3x1IbSRMahtQqk964Lqbs9th4vwzfIcNdV66U52bLgWF58Rhyt6JaB1chjqIh6fbMtQxWOT7RkKQrnfZVnzW/Gsi+XQt+gA+57/fJbpGrVUwR1j1/7QVOK9aiITSbrhh3LtKvDlHgq5Lb0IOzOsqgh+RfpaV+I589sqGOP9W7lfVXpPjzY/Cxln3QBXaluEGzSqhpP6adQiXF/8M0yvhUFXXA800BlT7neYOLpJpQNeUshd+i8mi+PYTycKipwwW51ejx0wWZ0wH3tO7svyksfFry20Vs9XodgI7bHgVfHwwtKBrejw+ls2guc2tmco4/FZd9uTmV0hyNCxd3Gwy+mAbfMKhJ0xINi7RHWMzA71xPBGeOCCZPy0Lldle206WDzleF6RE18syVY3qbEwqleCSts36kNnqAEREdVPYV37A7e+DNP013wyvLQJKYgaOVY9b9u9EeZZ78G2abl6znF4N/I/HAdd03aIuvh2GDqd7VcwRwJbPdOiAvr7yH5IIERu/U6J9gm0SRFzCXypoZDHssH2HLHC7gS0LifuLZx2XKBLbbPU45X6Tvgo/HJsymsN/CxL9lW4TzotVNArwqhRP8ONGoSX+nmi590/DVoNxv9QccbUM98fQpbJjiKrO4DlRMGxoJQEs+S+O0jlfs56gkBgoDSO1+PUxuEqE6updzArwYCYehzMIiIKRQx2hSBjp94o+v1rz1BGBrsoUCRlfmTPBIzoEa+mT5eg17x1eZ6rySt3mtVNZvi5vHu8Wlc6dERERMEiAS3jaeeoWRelaL3U8pIhju6hioaWHRF37yTYtq6CadZ7sO9Yp5Y79m9F3rtjoW/VGZEX3w7jKT1D9kOUQJvU7ZLb+R1LlltsTuzbm44Nc2cjOder0Hw53gofjZnhgyv13lJzSjKkzFb1CIGWY3biuR/SUVMkmBdl1CIyTKv6QdFhOlVYfuPBohO+9oWRjQMeACUioiAFu+bMmYMXX3wRe/bsQdu2bfHcc8+hb9++5a6/c+dOvPbaa1i0aBFsNht69OiBZ555Bm3atDnZfa+zDG3PAAxhgM0C28YlKsW9OtPJiUqT46tLswh1e3hICmatzsX0FdmqXoiQOiOT/8jClEVZ6NcuGleeGY+z20WHVGFZIiKqPySwZWzXrcJ1DO26Ie7BKbD9txTmWe/DvneTWm7ftR55b94FQ7vuiBx+BwxpXRBqpMC+I2MfHOl74UjfA0fGHs/9eHMezvZzOz27NEHPro1RZHPCYnOhsNRPWV5U6md5z1e18Hp1kHplxYEp7yBV8U+5RYbpfB4ff9N57svQzdL9asmkG/jK9hPOwuldh42IiOpQsGvx4sW49NJL8fLLL2PYsGH45JNPMGjQIKxatQodOnQo8zXXXXcdrr76atxxxx3Q6XR48sknVXBs3bp1ahwnHU9jCIOhfQ/YNvwFZ+4RdSVS36w9m4pqhBRQvfbsRIzpk4DlO82Yvjwbv27MV8MmpMLfoi0F6iZDLq7oFY9Lu8WjYQyTRImIKPRIUEMm/zF0OAvWtb/DPPt9OA7tUs/Ztv6D3FdvgqFTH0RdfEeN97XkYqYzO12VrlABLc9tL5xHDxWfdE/S+We1QvgpcdWyv1In67igmNWpssGLfzrVUETvgNrODAtmrck74bZv6JuITk0jyg1WGfWBrftSmVk4iYioDhaov+iii9TPuXPnepaddtpp6N69Oz766KMyX1M6K8lsNqtipxIoGzNmTK0vlBoohYu+henrV9T9yIvvROSFN6A2CbX2rO2C3Z6ZeTY1Y+O3K7Jx2GsmJaHXAQM7xqrAV49WkbUiCzHY7VmXsC3ZnqGMx2fV1OV+l8vpgOWfBTDPmQxn5n6f54xnDEDk0FuhT03zrFveUMnKcBYWlApoubO19gLWEw+d8ya1yXQpLaBNbg7TsnnQWU3H1ehS7ykZbNFJSH15dpX2ubr4mzG14JE2IRFIKmvWyEZ+zsJJ5eP/4urF9mR7hjJnCH3PqnRm1/jx432WSWbXjz/+WO5rSn/xLSwsVAGw8PDwyu5rvSJXIU3H7kvdrtoW7KK6JSnWgNv7N8Qt5zbAn1sK8M2ybPy1zaQuOtsdwLx/89QtLdmIK3smqNkcYyNYqJWIiEKLBH7Ce16IsG4DYVk6B+afPlTZVcK6+ldY1/yOsJ4XQN+qEwrnT/Utgh+fjKgrHiwukl+Ky2GHM+tgSSArfQ/sx3668rIqt4/hUdClNFdBLZ9bUjNowiI86xlP6YG8yY+qwJb31wl5LL3vBlc/FNRAV23MmJKAlkzK889OE3YcOIrWTRLRPS0qZPaPiIgCEOzKz89Xt5SUFJ/l8vjQoUN+v+Fjjz2Ghg0bqiBZeSwWi7p5X2F0RwnlFgiyXZVOHqDtV5YmMRXalBZwSmdp13rYC3Kgjaw9V5RCrT1ru1BpT+nqndM+St32H7VixspcfL8qF0dNxQVsZap0uSI68ecMXNglFlf2jEfHpqEX2A6V9qwL2JZsz1BWU8dnsK9cUuVpdHqEn30JwnpdiKLF38P88ydw5R2VdC5Ylv+kbqVJ4Ct/8qNwXHwHtLENPNlZ6qdkiTl8M58rpNVB27BJcVAruTn0XkEtTWwDv7KkJegWe+vLKJj+GlxeQTldQgqij81MGSoBpImjcVzGVEqIZkxJYEtmo24RXYDk5EhoGegiIqrbwS73aEepu+WzAb3e706kFKr//PPPMW/ePJUeX54JEyYcl0EmMjMzUVRUuXRvf8nvIOn68nuGSqdV2+p0aNP3AE4HspYvhKtj+RMBhJpQbM/aLBTb0wjg6q7AiM4x+GuHDbPXW/DvgeJOrNTzkCCY3Nol6zCscxjOa29EhCE0royGYnvWVmxLtmcoq6njs1GjRgHbNgW+TmpE/1EI7zMchX9Mh/nnT4HC/ApfY571nv/bj04olaF1LGOrYRNo9IZqm5nSunU1cvbtRHyzNBjbnRH0jK7yMqZW7TYjM8+OpNjiYu/MmCIioqAHu6Kjo9XQQwk4eZPHSUlJJ3z922+/jccffxzfffcdzjvvvArXHTduHMaOHeuT2dWsWTP1PoGsHSFX0eQ9QuXLr637AOQvKx4iGrF/I6LPuxy1RSi2Z20W6u05qjEwqi+wPd2C6StyMHtNHgosxUHwrRkOvParGZP/LsKwrrG4omc8WieHBXV/Q709axO2JdszlPH4JH/J8MDIwddB17g18t99oHINpzdCl9zs+GGHyc2hjQp81pIEtmTmSVd8MxiSk6EJ0fOaBLZ6pkUFezeIiKie8DvYJV8Ie/Togb/++gt33323Z/miRYvQq1evCl/7zjvv4OGHH8bMmTMxZMiQE75XWFiYupW1D4H8YipffgP9HpWhptQ2hqvipTJttuTEhGoHpja0Z21XG9qzXWoEnhgegbEXpuCndbn4ZlkO/jtYnI2ZX+TEl0tz1E0K2UtB+/M7xsKoD062V21oz9qCbcn2DGU8PqlSitwVUysW9v/t3Qd8U1X7B/BfuveElr3KHoLIRkBQUAEBZak4QREHylARXxfgK4IiiLxuXty8oMAfRUUQHOBgKchSRhktoy3deyT3/3lOmzRJkzYtHWn6+/q5ktyem96ent6c++Sc5/QernJ7qWTxoQ1qVf+MiIioLijXO/Ojjz6KDRs24JtvvoFer1dTEn///XeL4NfixYsRFRVlev72229j9uzZKtBlXM2RHKPz9IJXu57qseSR0MceY9VRreDn5YZxPUPx+fSW+N9DLXDzVcHwMZvCuOdUFp7433lct+g4ln0Xj3PJeTV6vkREREJWXXSEd79R8OrYF+7hjRjoIiIickLlWo1x3LhxiImJwZ133qmS1YeFhWHlypUYMKA4l1RWVhYSE4tXnZk5c6aaRnD33XdbvNaTTz6pNiqdZ6d+yDu4w7Qqo0ez9qwyqlW6NPVV2xMjIvHlH6lYuysZ0QmFwa3EDD3e+zER7/+UiAFt/TGxdygGtAtgDg8iIqoRnq27qVUXzVdhtOYWGqnKERERkYsEu4zBqxkzZiAjIwOBgYElvi4BLBkBZhQbG2tKbm/Oz8+vIudb53h17gfjgPq8Q7/A78bJNXxGRBUT7OuOO/uH4Y5+oWpk15rfk/H94XQUGGQBDODnfzLV1jDEA+N7heKWHiGoH1juSxQREdFl5b/ynzBbrbpoj//4WU6XAJ6IiIgseVQ0/4WtQJcxiGUeyAoPD6/It6AiMjzevUFL6C+eQsGpQzBkpsLN3/5KlkTOTq4fkqBWtoT0Aqzfm4LPdyfjQkrhSo7y7/ItCXjz+wRc1ykQE3qHolcrP4eWYSciIqqMFQ4xdREy1y6xGOElI7ok0KW+TkRERE6NwyZqAc9OfVWwC5oB+Ud3wbvHsJo+JaJKISO3HhhcD/cNCseOfzKwZlcydhzLVCO9ZMTX5oPpamtV30sFvUZ1D1YjxIiIiKqSBLS8ug5C/on90FIvqVxeMnWRI7qIiIhqBwa7agGvzv2Rs+0z9Tjv0K8MdpHLkeXIr+kQqDZJVv/57hQ14ktyegnJ8fXypjiVzP7GK4JUbi/JA0ZERFRVJLClVsYmIiKiWofBrlrAM6ob4O0L5GYj96+f4bn7W5U8lZ8wkitqHOqFGddH4KFr62PbkXSV20tyfImcfA0b9qWqrVNjH0zoHYLhXYPV6o9EREREREREgsGuWkDn6QWPBi1RcOYIkJ2OjFXPqf0S8JIkqswdQa7Iy0OnRnHJdiIuV+X12vhHKtJzDOrrh8/l4Pn1F/HqN/EYdWWwmubYOtK7pk+biIiIiIiIahiHQ9QCuX9uLwx0WZGkqbJakHydyJVJEGvuTQ2wfW4bzL+loRrVZSTBr09/S8boZdG4+90z+OZAKvIk4RcRERERERHVSRzZ5eQ0g16tBlSazM9fU0lUmTSVXJ1MVxzbM0Rth2KzsXZXMr4+kKamN4q9p7LUFubvjlt6hGB8rxA0CfOyeA29QcPe6CycPJeHqIws9Gjlr3KGERERERERkWtgsMvJySpA5ste22JIjlPlmESV6pLOTXzV9vjwSHz5RyrW7E5GdHye+lpSph7v/5SIlT8n4uo2/pjYJxQD2wVg+5F0LNwUh7jUgqJXyURksAfmjozE0M5BNfrzEBERERERUeVgsMvJyXLXlVmOyNUE+brjjv5hmNQvVI3qWrMrBVsPp6FAD2gasONYptpC/NyQklVyemN8agFmfnoOSyeBAS8iIiIiIiIXwGCXk9MF16vUckSuSqfToWcrf7VdSo/Ehn0pWLsrBedT8tXXbQW6hEyAlEmML2+Kw5COgZzSSEREREREVMsxQb2T82zdTa26WHohb7g3aVNdp0Tk9OoFeuD+a+ph8xNRePPuJujatDihvb2A18XUAqz86RKSMoxTHImIiIiIiKg2YrDLyUnSef8Js0svlJ+LtNcegD7xfHWdFlGtIInnB7UPxKR+YQ6Vf33LJQz493EMW3wCj68+hw93JuLPM1nIyefqjkRERERERLUFpzHWAt5XDgGmLlKrMponq9cFhEDLywHycqA/dwIpL9+NoAdeUaPBiKhY/aDyXerOJeer7du/0tRzDzegbQMfdGnqgyua+qqtRT0vuHEVRyIiIiIiIqfDYFctCnh5dR2kVl2UZPSSo0uCWvr4GKS9NRuG+LPQMlKQuuxBBNw+Fz79RtX0KRM5jata+KlVFyUZvUxZtCXEzx2jugfhUGwOjpzLQU5+cckCA3DkfI7aJAG+CPRxU6tBGgNgXZr4qumTRETlcejQIezatQvBwcG4/vrrERgYeFnHpKSk4JNPPilxzJgxY9CkSRP+coiIiKhO4J1ZLZvS6NX2Kot9Hg1aIOTJVUh/fy7y/94N6AuQ8fECFJw/Cf9bHlXHENV1Mp1x7shIteqiJKM3D3jJc/HCzQ1MqzHm6zWciMvFwZhs/FW0RSfkqdUdjdJzDPjtRKbajBqFeOKKpjICrHD0V4dGPvD14mxxqj1SU1Ox6asvceHCebRqFYVbxo6r6VNyafPnz8fixYsxfPhwREdH47HHHsP27dvRrl27Ch9z8eJFTJ8+Hffccw/8/f1Nx2VmFl+riIiIiFwdg10uwM0/CEGPvI7ML5Yi58e1al/Ots+gv3gagVP+DTffgJo+RaIaJ4GspZOAhZviEJdanIReRnw9NTLSFOgSnu46FaiSbULvULUvI0ePQ+dyLAJgl9L1Ft9DVn6UbfPBdPXcXU1/9C4c+VU0+qtVfU5/pMq14+ef8Muvv6jHbm5uCAsNQ7crr0SPHj3L/VpvLF+m/r32uqEIDw/nr6oKHThwAC+88AK++uorjBgxAgaDQY3Seuihh7Bt27bLPmbBggUcyUVERER1FoNdLkLn7oGAiU/AvWErZK55BTDokX/4V6Qunoygh16De31OXSCSgNaQjoHYG52Jk+eSENU4DD1a+auRX2UJ8HFHnyh/tQlN09QKjhL0MgbAZPpjttn0R70BOHo+V23G6Y8B3jL9sWjqY9FWn9Mf6TLExMbg+LFjmPrANBX8OHPmNJa8uhhjxtyCibfeVq7X+vvvo5gxc3aFAmVUPmvXrkXTpk1V0MoYqJw2bRrGjx+P+Ph4REREXNYxmzZtgre3txrx1bdvX+h0ZV/niIiIiFwFg10uxnfgWLhHNEP6e09By0qD/uIppCy6B4FTF5WYAklUF0lgq2crPzQPyEBEhF+Fk8zLjWPDEE+1Xd+lcFRYgUx/jM81C4Dl4GR8rsX0x4xcA34/maU2o4YhHqbE9zL6q2NjTn+k8vHx8Ubv3n3U4759+yEvLw+bNn1lEewqKCjAjz9sx+Ejh+Hl6YlOnTpjwMBBqi3HxcVh1aqVyMnJwfp1n+P777di9Ogx6NChY6nHibNnzuCz1Z9i8uT78M3Xm5CQEI/bbp+EJk2aIjkpCd9t2Yzz584hNCwMAwYMROvWbUznJN8nJSUZHTp0wq7ff0NmVia6de2mXt9ccnIytm79DrExMYiIjMTw4SMQFlY88qys7+OMjhw5gg4dOljsk+cSSP/7779tBrscPcbHx0eN/goJCcGcOXPQunVrfPnll6hXr57Nc8nNzVWbUVpa4eIcEjyVrSrI68p5V9Xr1zWsT9anM2P7ZH06M7bP2lmf8oFfWRjsckFe7XsiZM4HSHtrlprKqGWmIu31hxFw65PwGXBLTZ8ekcvycNehfUMftU3oVTj9MTNXr5LemwfAEtKLp1GKCykFuJCSju/Mpj+2iSyc/mgcAcbpj1Qe9evXR1ZWpgpgyOgevV6PFxfMU4GrawYPUZ2Qdes+x6FDB/HQw9MREBCAwYOHYN/ePbiiaze0bNkKERGRZR4n0tLTsGf3LjWibNjQ61XwJTg4BOfOxeLZZ55WQTgZKSYBtXkvPI/pjz6GXr16mwJlP/ywHX/s26emTmakp+Ptt99Edk4Ohg27XpWJjY1RrxPVug369e2n8ootWDAPS5cuV18v7fs48wi19PT0EsGn0NBQi2BTRY6Rr0sC+6ioKFOgsGfPnpg5cyY+/vhjm6+7cOFCzJs3r8T+hIQEFQCtCtIJlt+ltClHOqzE+qxObJ+sT2fG9sn6dGaGanp/b9CgQZllGOxyUe4RTRGsEtc/jfwjv6lpjRmfLUTB+Wj4j5uhpj0SUdXz93ZH7yh/tQm58MelFU5/LAyA5eBwbHaJ6Y9/X8hV29rdhdMf/c2nPzaRIJgP6gd58ldIJUiAat++fSpfkwS6xA/bt6kRV8teXwFPz8J2063blXhw2v0Yc/MtaNSosWlkWLu27XFl9+7q8fdbt5R5nNFdd92jRpWZ5//q3/9qTLlvqmmfn78fPv30Y1OwS3h4uOPZ516Ar6+vaTXBnTt+NgW7Vv13pQq+PfPMc6Zjrhs6zPT4ww9W2f0+zhzskp9XglfmjAErPz+/Ch8jwS7zgJgEw6ZMmYKlS5faPZe5c+di1qxZFq8p0yUlaBoUVJzPsLI7wzI6UL4Hg12sT2fD9sn6dGZsn6xPZ2Zwovd3RjxcmCSmD3p4KTLXL1cJ60XOj2ugj5PE9S+pxPZEVL3k4t8g2FNtwzoXT3+U6Y7mo79OWE1/zMw1YNfJLLUZNQg2m/7YtHD6ox9Xf6yTJED08ssvQTMYEBMTA08vT5V7y2j//j/V6KxlS5cUrkaqaSrw6u7ujrNnz1oErcyV57jOnbtYdHT++usAWrRoiVcWv2w6VoIoMtVQXtPDo7ALImWMgS4R2aAB9uzZbQrcySiyaQ8+bHFegYGBDn8fZ9WmTRts3rzZYp+srihk2mFlHSMk6Cmfspb2dWNg1Jx0UquyoyrXw6r+HnUJ65P16czYPlmfzozt0zXrk8EuF6dzc0fAuJnwaNgKGatfBvQFyD+6C6mL7y1MXB/ZvKZPkajOk+mP7Rr6qG282fTHw+eM0x8L/41Ps7xxlwT5F1PTseVQ8fTH1kXTH42jv1pFeDuUgJ9qNx8fXzUNUYJDBw/+hV927kB+fr7p65mZmWjYsBEGDrrG4jiZmtg6yn6QpDzHmY9Gkpxh8v27dLkCrdtY5s66CaMtkqUbR4wZyZc0rTDPg7yGBKxkmqUt5fk+zmbUqFFqtNUff/yB7kUj6WSaYbdu3dCsWTP1PCkpCZ999hnGjBmjRuo5cszx48dVUMxI6u9///sf+vfvXyM/JxEREVFNYLCrjvDpP1pNbUx7dw60jBTo488iZdG9CLx/Ibw6FE8nISLnmf7Yq5W/2oziUvOLpj/mqBFgh85lIzvPcvrjPxdy1fZ50fRHGekl0x9l5JcEvyQQFsHpjy6doL5fv/4w6PVYtvQ1vL68cPqhDCWXEUDGMo6q6HGSIF2mv8kIs/Iea+t1JC9Xz569yv19nDn5+TXXXINJkybhpptuUtMMT5w4gQ0bNmDr1q2mMufPn8f06dPRvn17Fexy5Jivv/5aBbeuvfZaVT/r16/HpUuX8M0339TQT0pERERU/ThuvA7xbNNdJa53b1SYtFbLTkfaiseQ/eNaNS2FiJxbZLAnhnYOwuwbI/DB1ObY9Xw7bHisJebd0gBje4agbQNvWA/iysozYHd0Flb+lIjHPjmHwQtP4NqXj2PGp7Fq357oTDVFklzL7ZPuRFpaqlodUQy59jqcPn0KW77bbBEI2r59m8UqfNYqepzx2K83bUJMzFnTvoyMDPz004/l+llkFJm8Tnx8vGnfL7/srPTvUxNkVNby5cuRlZWlEvsfPHgQV199tenr4eHhePjhh1X+LEePmTFjBt577z0VBJTk8pKY/p9//kGXLsXTTImIiIhcHUd21THu9Roj+ImVyPjvs8g7uEMlrs9c8wr0krh+4uNMXE9Ui8j0xLYNfNQ2rigPtwSujpwrHP0lo8AOxWar6Y62pj9uLZr+KAEymf5oPvoryoHpj3qDhr3RWTh5Lg9RGVno0cqfUyadRHBwMEaPvhnr16/DdUOHon37DnjwoUfwwaqV+PqbTSpp+bnYWJVsfuDAQXZfp6LHiVtvvR1pqal48onZKsG8fKiSlJSI8RNuLdfPctttk5B46RJmzpiOqKjWKj9ZixYtVFL6yvw+NUGmWY4dO1ZttjRs2BArVqwo1zFCAlsMbhEREVFdptNqwZAeSTQrHXdJrlqVqwLJp8YRERE1nkitOmgGPbI2vonsLR+Z9nm27aGmNboFhFz269e1+qxqrE/W5+WITyue/ij/Ho7NUSO+SiPTHzvJ9McmxQEwGVlmtPVQGhZuikOcWSAtMtgDc0dGqtFnVH1/67GxMUhMTETXrt0s9svIK0kwL7m1wotW55ORPidPnlDfp1mz5uq91dye3bvQtm07BIdYvg+Udpy8Rx89ekStsGgrR5YEns6cOQN/f380b97CIhH6mTOnkZuTi7bt2pn2xcfH4cKFCyV+nosXL+LC+fMqgX2jRo0c+j68dlYM+121D9s669OZsX2yPp0Z26fr1ieDXU74S6lOOb9/jYxP/w0UFCYydqvfBEEPvgaPhi0v63Xran1WFdYn67MyyYisaLX6Y1EC/NhsHL+YC0MZH31EBnmo0V8+njps2p9W4uvGMMfSSY0Z8Kog/q1XLtZnxTDYVfuwrbM+nRnbJ+vTmbF9um59chpjHefTZ0Rh4vq3n4CWngRDQqxaqTFwyr/h1ZkrNxG5Ipme2KaBj9ok15eQkV5HilZ/LFwBsuT0x7i0AsQdLpz6aIsxVjbv/y6iYYgn6gV6IMzfHV4eDHgTEREREVH1YbCL4NnqCoQ89SHS3poFfexxaDmZSHtzFvzHPgafIbc59dLtRFQ5ZNpij5Z+ajNKUNMfiwNghxyY/iiSM/WY+J/Tpuf+3m4q6BXi544wfw+EBrgj1N8doX6FwTB5LPtD1L/uqjyvO0REREREVFEMdpHiHtYAIbPfR/qHzyNv/4+S1AuZXyxFwfloBNw2BzqP4lw9RFQ31A/yxLWdZAs0TX/8cEcSlmwuXhXPEZI0X7aYpMLp0mXxdNeZgmChEhwrCoIZHxuDY4UBM3cE+7kzMT4REREREZkw2EUmOh8/BN6/CFmb3kH2t/9V+3J/3Qh9/FkETV0Et8BQ1hZRHZ/+2Lmpj0NlB7bzV0Gr5Cy9GumVlKFHarbeoWPz9VrhlMk0mUaZW2Z5WTRSAl7G4JcExUoLlnFqJRERERGRa2Owiyzo3NzgP+pBeDRshfSP5gMFeSg48SdSFt2DoAeXwKNxa9YYUR12VQs/tepifGqBKUeXOZn0LF9fcVfTEqOtCvSaCnip4FdmgfrX+nFyZgGSjI+zClDgQHxMEusbj3cUp1YSEREREbmuWhXskqXPvby8SuyXLP/m+6WcPZIHxnzZc2NZWTVAlmmX58ZVA6zLytc1zfZyZVVVVvj4+FSobF5envq5KlS2yyB4P7ICGSufhiEtEV6XziP1lSkImLwAbh36Qq+3f1Np/rPl5+eXer7yezPWt5Qt7XXLU9bT0xPu7u7lLltQUKC2yi4r31/Owx4PDw+12Str3j6lHkora06+v5xHecvK95M2UdllpS3Iz1EZZcvzd2+rrPXfe1nXCFvq6jXi8WHBmLPmggpsGb+TpvM05dl64oYw5OflwlZr8/cAwiK80VrnXebfp/wceZoHUrI0FQRLSM1FckYekrIKkFIU3ErNKkBSll49T8rWITu/KMCmFUCn2f/ZMnM8iqdWllFW03nA06NodJgvECKb2SgyyUUW4u+mcpDVC/ZBvUAvNdJMM+jLfY2w9V7kyDXCXHnKuvo1wlgPFblG2GPrGmH+t0JERERENa9WBbvum3KPqZNrrnv3q/CvZ54zPZ987112O8CdOnXG/AX/Nj1/cNr9aoltW6KiWmPxK0tMzx979BEkJNjOVdOkaVO8/voK0/Mnn5yN2JgYm2Xr14/A2++8Z3r+7DNP4+TJEzbLBgUFYdUHH5ue//vF+Th8+JDNstL5/mz1WtPzVxa/jD/+2Ad71q3faHq8/PWl+O23X22Uks5/QyyPuADv3Cykv/04Pg7qg53Hzth93f+u+giBgYU5fj784L/47rvNdsu+9fa7iIiIVI8/++wTfLnx/+yWXbrsDTRr1kw9Xr/uC6xd+z+7ZRctehWt27RRj7/++it8/NGHdsvOm/8iOnfuoh5v3fod3n/vXbtln376WVzVo4d6/PPPP+E/K5bbLTv78SfRr1/hipa7dv2OJa8utlv24UcexZAh16rH+//8Ey+9tMBu2fvun4obbxyhHh89egTPP/eM3bJ33nU3xoy5RT0+FR2NOXMet1t2woRbMfHW29Tj2NhYzJwx3W7ZUaPH4O6771WPL11KwIPTptote8MNN+L+qdPUY/lbk79Pe64ZPATTpz+mHsvf8KTbJ9ot27dvPzz+xBzT89LKWl8j5FrCa8TlXSPaWpX9p818RIb44amRkfj7h1V4b/72Uq8RwcHB6vEHq1Zi8+ZvS71GNI+IRPN6XvjwwzV2rxFyxXl/2RuIaNhEBcHWfb4aP3y7zu7r5nWdgURdYzXSLCz5F0Qk2D+Hs03vR5ZflJpWmXvmNyB+I1IAFKfgLxbT+B5kBrRXUysjs/9A8Jnia7K1kZMeRZ++/dXUymN//Y7Xl75qtyyvERW7Rsya/USFrhHl7UeYv08TERERUc2rVcEuqjle3QYDB7bLR+nQnz0qa7fx10FEJm/d3Rj92oerqYt//1BzFePj6YaGIW6oH1j6ohpLb2+iAuIytXLtF4exbo39sh0a+SDdx1sF0Qypjp2HTK3MyjWgMKRn2zs/XMKre0+px4Hp59G4lLJ/nM6C29F0lZg/Pt2xRP9ERERERHWVTittvouTkNEgMgogLi5OjXSqqmmMCQkJqF+/Pqcx2iD1m/PtSmRtehf5GmCADh4tOiFw8otwCwq3KCv1K80qPj4eoaGhnMZYSdMYje2T0xjL/3dvXTYrK6vE33tZ1whb6uo0Rltts0mTJg5PHZafzTjlsTKnL1fHVGcpm5qZp/KKpWQWICVb/jWYplam5uiQkq0V5h1Lz0NKZh6y8mzXsaZzB2RTT/TQafbPwVZZWQAg1M9NjQwL8fMwTa0MC/RGeJB34X5fNwR66dVUyyDfkqtW1oVpjPJeFBERUeo5cBqj7X5XamqqzX5XZZB2YfzdWF+HifVZ09g+WZ/OjO2T9enMDE70/l6rRnbJjZcjeTHKkzvDWFZ+KXIDJs/t/VLMbz7L4gxlbeU3u5yyfiPuh7skrv/geSA/FzhzCDnLHihMXN+0nUVZ48223JQ42silrK1pqtVZ1jzoVJll5QbNeLNckbL22uflvq498j0c/TsqT1kJcFRFWVHesmX9vVfkdeviNcLYNo3BK2f5W67KsvVCZIPDcvINpuT7xUn5i54bV6ss+lpSRgFSs+0HIBWduwp+5WlAXGbhBkhuMGN+sKwqX7WytlwjzAO0VXk9ISIiIiLnUquCXVTzvLtfC/d6jZH21mwYUuJhSI5Dyqv3IfCeefC+ckhNnx4RkdMxTq1sGFJ2QE2CMxcuxsErIBypaoQYV62sKL1Bw97oLJw8l4eojCz0aOVfYmQbEREREbkmBruo/I2mWXuEPPUh0t5+AgWnDwF5OUh/dw70N02D742TAc2A/GN/QBcTjfymreDVtjt0bo6NKCIiquskIBMe4IH6QTKqquyRejKSNiPXgKQM26PFjKPKCkeTFW72plZakxUrTatWOkCmVpY2WqzwedFjP3c10qwqAlBbD6Vh4aY4xKUaR7tlIjLYA3NHRmJo56qZlkdEREREzoPBLqoQt+B6CJ71NjI+eRG5uwtXW8z66m3kHfkNhsTzMKQkQMJb6VI2JAL+E2Zz5BcRURWQ6XyBPu5qk1UrK3tqpWyyaqUjGT7z9ZpatVI2wH4+raqYWmke6Jr56TlYn258aoHav3QSGPAiIiIicnEMdlGF6Ty9EXDPfJXHK2vjm2pfwckDJcrJdEcZ+YWpixjwIiKqZVMrhaxaKQEv61FiEhBLMQuUqcT9WYX7C+zn27dYtdIYUHOUv7ebCnpJ0n01SizAGCzzQIifG17bnFAi0CVkn4whe3lTHIZ0DOSURiIiIiIXxmAXXfaIAr8b7oVbZAtkvPtkqWUzP38NXl0HcUojEVEt4+FeOLVStvJOrTQGv+wGx4qeV/bUSjfNgCsK/kG4loJEXQj+8mgHg84NF1MLsO90Fnq18nf45yciIiKi2oXBLqoUbv5l50CRZPbJ82+FR4MWahqkW0j94n+DCv/V+QdbrOpWlTSDHvkn9kNLvQRdcD14tu7mlIE4dZ7Mgcb6dEJsm+TQ1EoHqyk331A8MizDGBzTIznLMkm/MThW2tTKAXl78Gj2p4jQkkz74nVhWO47CTu8eiJBTbMkIiIiIlfFYBdVCgkYOcIQdxp5cadLaZGeRYGvenALrl+0hRf+awyOBdeHzi/wsoJiuX9uR+baJWqKpZEz5hYzP0/mQGN9OhO2Taps3pUwtfLPM1k4/cMWLMh6o8RUxnpaktr/LKajftBY/gKJiIiIXBiDXVQpZGRUpSjIhyHpgtpK5eldFPgyBsXMRoqZBcZ0Pv4lgmJyk65yiDl5brHacp61BevTdetSpswVDvEx/qt22t2nOVjOfJ9m/ty8XCn7NAfLmX9Pg8EAJCWiIDO+6Npl/7y00s7fzvcrrivrcmqHzX0WP7uDdVbquVmdn+bAOVjvMx7jAw0NNdkKy/XT65GcvVZ9K+s09vJcJkrOyP0MrZvdfjlNjoiIiIicHINdVClkCqCMjDIfKWXNLTQSIfPWQctIgSH1klqx0ZCaAEPKJRjSjM8vqX1SplT5uTBcOqe2Unn5FAW/ikaEBYUh77dNpR6SseYVeLToBJ27/HnoZD5O4SZ0blbPdZD/TPvUfutj5LFbuUaiyfQwGdFV0RxoJW7+1WYweyw3sEX5ceTm2kY50w2u+jpKHC/PLb6PnXIOfZ/SzlVua0s5h8LDbL+26Rz0Bcj68s3Sf+8fL0BBQgx0cktsfD3Jno2yvlfJczcFOUr8zFYBgaLXNH0/6zIGYyCgqJypni3LWgZizF7TOvBi8f2N5Yoeq3q2DpKUfE35XciKq6VJf28uMgLDVNMvPjf7AR7rfcXBD/Nyxp/Hxuu4GLnypNX0SdRifqV8TQJe9fSJMEQfANpeVY1nRURERETVicEuqhQScJEpgLZGexj5j58FN09vIDQS7qGRpb6elp8HQ1piYTBMBcDMgmPGx2mJ0DJTSz+xvBwYEmLUVp4pmclPj0SVMQ+ICTe5/bIKjsmNfX5emTnQEh8dULi8mHUAiMpNy85A9oYVrLnKIEGxtEs2V8Qjqk1T74mIiIiodmKwiyqNmrY0dVHJXFihkSrQVZ5pTTpPL7iHN1RbaTQJZqmgmFUwLNVqpFh2BpyG+UgXYdBX/LX0pa9GRuSQotGHFo/NgrHmoxe1ggIgP6fsl/QPgs7Lt2Rw12oEpK7EPrXDzkhJXeEISfMypq/b36cr9bVt77MYsenAsYXlrYPZpe8zfQ+z15LLQnZODnz9/KCzGkla/HNY1Wcp3+/yzsuqjJ19OgfLme8z/SxuZZ1X0TmV0Y6M+wpijyNr3bLqm3pPRERERE6JwS6qVBLQkql1ecf+QEpMNEKatoJX2+5VtsqhzssH7vUaq600Wm62CnzlHfoFmZ+XPj1QeER1hZt/sNmUKpSc0lViupf5FDfrqVZWU+JM5a2mlBmnnOVklZ23TOIQ9RqrvGSmaZKmTW6Si6Zdmt1QFt48W0/HlK8Xlit+DdvlbB5vCpQUfp/CG+XSvo88tTrexjEW52JxU1xYTmfntW0dXxB3BjlbPy6zPn1H3A+Pxq1LBH9sn6/l9y684S+lnPnrlFLW8ue2Gvln/jq2AlNWr6mzUS82v1855B3bh7Sl08osFzh1Mbw4TazcJGdXZnw8/CMi4Gb83ZHDPNtehZxtn5U5pV6m3hMRERGR62KwiyqdBLbkhkMLaQrPiAjonOCGTeftC/eIpvC5Zjyyt35c5o1Q8Kx3qixA52jOruR/jSrzPEPnravR86wtpD7z9nxXZn36DZ/C+qyk/HwMJpAzT6nndZOIiIjItdV8FIKoBm6ESuMMN0K15TxrC9Yn65Lq1gjjwKmLVFDWOggr+7mKLREREZHr48guqnMqM7dYVaot51lbsD5Zl1R3VPeUeiIiIiJyLgx2UZ2+Eco/sV+tyiXJimXalbPdCPGGjfXprNg2ydk545R6IiIiIqoeDHZRnb4Rqg0JtHnDxvp0VmybRERERETkjPgxJxERERERERERuQwGu4iIiIiIiIiIyGUw2EVERERERERERC6DwS4iIiIiIiIiInIZDHYREREREREREVHdDXbt378fd911FwYNGoT77rsPJ06cqJJjiIiIiFxZamoq5s6di8GDB2PMmDHYuHFjpRxTkdclIiIiqrPBrkOHDuHqq69GQEAAnnrqKWRmZqJPnz6IjY2t1GOIiIiIXJler8ewYcOwfft2zJw5EwMGDMC4cePwySefXNYxFXldIiIiIlfjUZ7CCxYsQLdu3fDmm2+q59KZateuHZYsWYKlS5dW2jFERERErmz9+vXYu3cvzp49i8aNG6t9Fy5cwNNPP41JkyZBp9NV6JiKvC4RERFRnR7ZtW3bNtx0002m5+7u7hgxYgS+//77Sj2GiIiIyJVJ/6h79+6mgJQYPXo0YmJicOzYsQofU5HXJSIiIqqzI7tk+mFiYiIaNWpksV+enzlzptKOEbm5uWozzz0hUlJSYDAYUBXkddPS0uDl5QU3N+btZ306F7ZP1qezYttkfTqz6mqf8tqBgYHlGjUl/SBb/SPj12QUfEWOqcjrst9V+/FazPp0ZmyfrE9nxvbpun0vh4Nd+fn56l9vb2+L/b6+vqavVcYxYuHChZg3b16J/c2bN3f0dImIiIiqjXwwFxQU5HB56QdJJ826f2T8WkWPqcjrst9FRERErtb3cjjYJR0nT09PJCUlWeyXkVvh4eGVdoyQFYRmzZplER2U15BjqirXhEQfmzZtqob5l6ezSqzP6sD2yfp0VmybrE9nVp3t0zrAVJawsDCb/SNhr4/kyDEVeV32u2o/XotZn86M7ZP16czYPl237+VwsEtybV1xxRXYs2cPpk2bZtq/a9cuXHnllZV2jHEkmPVosJCQEFQH+YUw2MX6dFZsn6xPZ8W2yfp0Zs7YPiWv1quvvoqCggJ4eHiY+kfyIWGnTp0qfExFXpf9LtfhjG29NmN9sj6dGdsn69OZBTnB+1G5JlFOmTIFX3zxBY4cOaKe79y5UyVClf1G77//PoYOHVquY4iIiIjqElkZUXKbrlixwvRJ6LJlyzBhwgTTJ5XR0dHo06eP+tDQ0WMcKUNERETk6soV7JLRWXfccYcalSUJTq+77jo19H3MmDGmMrGxsaZOmaPHEBEREdUlMsT/008/VTlKW7VqpVZPrF+/Pt544w1TmaysLDUqy7hQjyPHOFKGiIiIyNU5PI1RSL6s//znP3jhhRdUUKtFixYIDQ21KHPfffdh5MiR5TrGGcgQ/ueff77E9ElifToDtk/Wp7Ni22R9OjNnb5+33HILhg8fjr///hvBwcFo2bKlxdejoqLw22+/oWPHjg4f42iZmubsv5vahvXJ+nRmbJ+sT2fG9um69anTNE2r6ZMgIiIiIiIiIiKq9mmMREREREREREREzozBLiIiIiIiIiIichkMdhERERERERERUd1MUO+KZHnuV199FT/99BP8/f3Vkt233nprTZ9WrXT48GFMmTKlxP4PPvgA7du3r5Fzqk0KCgrw5Zdf4r///S8uXbqE33//3WY5qc/PP/8cubm5anXTmTNnOkUCQGeTk5ODtWvX4pNPPoGPj4+qW2tDhgxRq52Ze/jhh3HnnXdW45nWDt9//z1Wr16N06dPo3nz5njggQfQu3dvizJSl3I9/fHHH9X19LbbbsPtt99eY+fsrCRV5vr16/F///d/uHDhAtq0aYNHH30UHTp0MJWRxOL33HNPiWNXrlyJTp06VfMZ1472KSsQnjlzRq1GeO+99+Kaa66xKCOL5Lz00ks4cuQIGjZsiOnTp6Nfv341ds51mfHanJGRgQEDBuDJJ59U1wwqv1GjRiE+Pt5i31133YWHHnqI1emAAwcO4O2338aff/6JF198UfWrrP3xxx9YunQpzp49i7Zt2+Kpp55Si0dQSTt37sQ777yD48eP23y/WrBgAb7++muLffLet2rVKlanFelvSduU9hcUFIQbb7xR9Qvc3d0tyq1btw4fffQR0tPT0b9/f3U9DQwMZH1akff+d999F4cOHUK9evUwduxYjBs3Ti2mZzR+/HjExMRYHCdxgRkzZrA+rUh/SxYhlGuntLdhw4Zh8uTJ8PLyMpXJz8/H8uXLsXnzZnh4eGDMmDGYOnWqRZ1XtTof7Bo9erTqJMgS3XLTIR1kCTQ88sgj1fZLcBVykZUl0rdv3w5fX1/TfrnxoLJJB0tWKpVAgnVHwLyTIMGE1157Ta2wJR2uvXv34osvvmAVW+nWrRt69uyJiIgIFXyxZffu3XjuuecwcOBA075mzZqxLq0sWbJEvVFJ8Eo+ENi2bZsKEmzYsEHdaJmvACedBGmncXFxanVeub6yk2BJ6uP8+fOq7iToIsHrK6+8Ut0k9OjRQ5WRIIBcT7du3YqAgADTsXJ9IEtyYyXtUzqujRo1Uh9eyfV0zZo1ap9ITk5G3759VT3LjYBcEyQYJv8y4FW93nrrLcyaNQuvvPIKGjdurFZs+vnnn1XfoTo7wK5CboSl7zpixAjTPqlXKtuKFSvUze/999+vggrS/7f2119/4eqrr1Yf5sqHN/KBo1xL9u/fr643VOzxxx9Xq8dKW5RgttwXWDt58iRCQkLwwgsvmPaZv8dRoRMnTqgVdaUfJfV67tw5/Otf/8KOHTtUGzR677331Ac3ixcvVv0DqVd5D5SN19NiUm/yYbb8HY8cORL//POPqlsJdkuQ20gCN9JvuPnmm037pJ9GlqQPKzEUCb7ecMMN6oOAZ599Vr2Xf/bZZ6ZyUsc//PCDer+XQQgyQOPUqVN4+eWXUW20OmzLli2yEqV29OhR074FCxZoYWFhWl5eXo2eW23022+/qfpMT0+v6VOplVJSUtS/H3/8sapHa2lpaZqvr6/21ltvmfbt2LFDld27d2+1nmttqs+FCxdqjRs3tlnG399f27BhQzWfWe1j6296/Pjx2uDBg03Pt2/frtriwYMHTfuk7oODg7WcnJxqO9faWp89e/bU7r33XtPzPXv2qPpMTk6u5rOrfTIzM0vsGzZsmDZx4kTT8/nz52v169fXcnNzTftGjBihXXfdddV2nqRp+fn5Wnh4uOprGUkfTNr65s2bWUUVIO9vq1atYt1dRj9B2qW0wdWrV5coc8stt2iDBg0yPS8oKNCaN2+uPf7446xzO/V5/PhxVZ9yX2Dt7rvv1iZNmsS6K4P0m6RdmluzZo2q18TERFNbjIiI0J5//nlTGWPdb9q0iXVs1U8wGAwWdbJkyRItICBA0+v1pn1RUVEW91lkm8RJrNvnu+++q3l6eprq88iRI6otbt261VRG3qukTEJCglZd6nTOLhmd0Lp1a4spdhKlTEpKUp+UUcVMmDBBfaounzRER0ezGh0kI7VK88svvyA7Oxs33XSTaZ8MVw4PD1dTeKh89Wm0aNEiNcJDPp2QawKVZOtTV9mXl5dnei51J58qdu7c2eJ6mpqaqkYfUvnq00hG0xmvp/JJL5Xk5+dn8TwhIQFHjx5F165dLdrn9ddfbzG8XtqnfPotw+ypeshomMTERIv3MemDydQwvo9d3ggleR+TKfibNm2qlN9VXeBIP0GuHebtVaaQycgltteK1aexPzt48GA1gkamOPEaXJKkJ5FpX7b6DpLGRBw8eFCNnjdvn3Jf27FjR7ZPG/0E65FuUp/S9gwGg8V+GS03aNAg3HHHHWoGA5Xk6elp0T71er36u+7SpQvc3NxM105JTyB/6+b9Lqlz6XtVF7e6PtfUegiy8bl8jcpPOgASNJBpOnIBlrn6MiSUKqe9yoW6QYMGpn3yXIbXsr1WjOSJkOkfMjS8SZMmasj4G2+8weZaBgm6yBQxmXtv3j6tp87weuoY6SDIG795fQrJzyHtU4Z9y/QaCSQycGhfnz591DTFli1bqpv+OXPmlPl+L50uSWFA1cP4XmXrd8H3sYqR3FFynXjmmWdU0FA+cDSflkMVJx/WyMb2WnkkwCDX56efflr1uSQth+T6sQ44kCUJJsjUL8mVapxWx+tpxUmOWcnDJ1MazYM2LVq0UPexMiVPgobSVuXaSrbJ33GvXr3UNVIGuHzzzTemr0n7jIyMtMgxJ+l6JNVRdb7f1+mcXdLJtU7sbcw1xU8Zyk9uMsw/UZQLiHzSOHfuXJVPhS6/vcoF2ToxpbRZtteKkRxJxmvA0KFDVSJ7uUGW5OvmI0ComIzKkFxTElgwz8XF62nFSOdAEqTKJ4jyr5F8OmbeaZAPEmSEl+Tp44gC25YtW6Y6sJL7STqx0gGTTxHZPp2H8b3KVt+L72MVs2XLFlN9GnN/SoBc8tPIY2J7dbYcoOZ//5IzUYIKsoiQ9Qc+VEwWsZHE6pITzYjX04oHDqXPJf0FSbBuTnImm19PJe/vtGnT1Oh6CdyQJWO+SBlNP3/+fDV44P3337d7XyDkXqs63+/r9MiusLAwNWXR+kZOyNQwKh9bDVouFJL8jyqnvcrFQRJXW7dZttfKabPSXmWqqKwiRCXJ9VKCgtLeNm7caPFpGK+nFVtpSVYEleTHsmpVaW3T2D55PbVPArBSnzKqRVajk08cHWmf8jWqHsa6tvW74PtY5b2PyerOsvIYXf60PPmAke216tqrjLCXUeF8b7NPEtRL0m9ZsKZdu3am/byeVizQJf2DPXv2qA/GrANYtq6ncowEGqkkWU1cUupIInpZUVX6ssb3Hlv9LqnLlJSUan2/r9PBru7du6tfiER2jWT1K5kaZp7rgyru4sWLXE68EturkAu0kUwVlRtmGVVHldNehcwxJ0uymp0EuiTvwbffflsi75S0z7///tsiGCvXU+PKmGRJhnBLHgNZfXH16tUlcnPYa59sm46RaR7mK6tJ+zS/dhrbp0xZ4OiX6iPXAsnnYf67kD6Y3Ejwfaxy8H2scvPSyPRxW9cOttfKIbkq5YaY7222yerBMlJGRnBeddVVFl+Te1UJxpq3T1nxTlYQZfssSabK3n333SpthKwQKFPAy8LrqeOM02uNHyRKv0tWZpeVGo2krWqaVr3tU6vDZCWAoKAg0yoWWVlZWq9evdQKTVR+K1eu1KKjoy1WCvTz89P+9a9/sTrLwd5qjKJfv35q9TDjaqGPPPKIFhkZqWVkZLCO7bC3GuO2bdvUCoJGsbGx2hVXXKH17t2bdWljhaWrrrpK69+/v93VVpOSkrSQkBDT33t2drbWt29f7frrr2d9Wjl79qzWsmVLbezYsSVWszFfsebEiROm57/++qtaPXTOnDmsTysrVqzQ4uLiTM9PnjyptWjRQq36ZfTzzz9rOp1O++abb9TzU6dOqdUZzVcFpOoxatQotfqocRXNF154QQsMDNTi4+P5KygnuS58/fXXpufyd9CnTx+tY8eOFiuMUelKW41x+fLlalVh48rtP/74o+bu7q599dVXrFY77K3GKP0HWQHP2IeVf6Uf6+3tbfF+R4Xk/V76Vbt377ZbJbJaaPfu3U33AS+++KLqK1y4cIHVaEauh3feeae6H5D2aYusgr1x40bT80uXLmkDBw7UWrdubbevVld9++236v3HSN7P77jjDtWvMr63y4qizZo10+677z7T6qEjR47UunXrVq3nWqeDXeK7775Tvxj5Zcibmdzo8gJRMRI86NSpk7qJk6VbfX191YWaFwjHzJ8/X7U/qTvpJMhj2fbt22cqIzdoEpAJCwtTF+xGjRppO3furOBvzLVNnz5d1V/Tpk01Ly8vU33GxMSY6lIC2/L3L+1WOltjxozRzp07V9On7nSeeOIJ1SY7d+5sqkfZhg8fblFOlheWZbCN11O5oWV9ljR+/HhVnxJANK/PKVOmmMr88MMPqr4laCMdLR8fH/V7MN4kULEvvvhCXTfbtGmjtWvXTr33TJ48WUtNTbWoptdee019rW3bturvfdKkSazPGiABGQmEy4eNzZs31+rVq2cKQlL5nD9/XgXNw8PD1fVCrhM33HCDxQePZJ8EY4zXX7kmy7VWHi9atMjiJvmBBx5Q1wzjtWPevHmsVhvWr1+v6k9uZqU+pW8lzz/66CPTze5TTz2l+rDSXkNDQ1WdSt+BLO3atUvVofTzzfsJsh04cMBUTj4kkA8i5QMD6S9I3TIQW9K6detUfUodWdenXEeN700TJ05UddilSxfVX7j22mu1Y8eOsXlakToZNmyYGnAh96XS/mRAxt69e0sEEOV9vmHDhuq9vkOHDto///yjVSed/A91nAyhlek3Mj1HlmylyyPDFSXvkayIxSTfjjt58iQSEhJK7JfEnUFBQRb7jh07ppYellwHjkx/qoskWaKsomRNhs6az8mX6XmxsbFqOlNgYGA1n2XtmXJna8U6+fs2Tq81krxyUve8ntonf7/WeQyEtD9ZwdZcTEwMMjMz1fXUVh4vKiRdGZnSLdfF5s2bmxabsZaWlqautbKqrXHIPdUM+T3ItGd5H2Nf4fLIe530vZo1a6byTJHj9SbvV9Ykj49cc81J2gjpK8h+Tn22TepIFl2xJu3SfEVLue+S90HJ28PrsG3p6ek4fPiwza9JP8G6vyr1Lse0b9+efQUbZGqdvXy81vcF0k+Qfm/Tpk0REhJi5zdEQvqycl2UvHv28nBJni65zsr9quSck3RR1YnBLiIiIiIiIiIichl1OkE9ERERERERERG5Fga7iIiIiIiIiIjIZTDYRURERERERERELoPBLiIiIiIiIiIichkMdhERERERERERkctgsIuIiIiIiIiIiFwGg11EREREREREROQyGOwiIiIiIiIiIiKXwWAXERERERERERG5DI+aPgEioqpw6tQp/PXXX7h06RI0TTPtHzVqFCIiIljpRERERJUkNTUVe/fuRUxMDAoKCkz7u3Tpgt69e7OeiajaMdhFRC7nsccew6pVqzBkyBAkJSVhx44dCAwMVEGu0aNH1/TpEREREbmMjRs3YsqUKWjfvr3qa3333XfIzs5Gq1at8NxzzzHYRUQ1QqeZD3kgIqrl3nrrLTz99NP4/fff0a5dO7Vv7NixOHfunNpHRERERJUjOjoa3bp1w8KFC/Hwww+rfatXr8btt9+Os2fPomnTpqxqIqoRzNlFRC5lyZIlKthlDHSJgQMHqmmNRERERFR53nnnHXTo0MEU6DL2u8Tp06dZ1URUYxjsIiKXcfToUZw8eRI33nijxf6LFy+iUaNGNXZeRERERK5o06ZNNvtdgn0vIqpJzNlFRC5DhssL8wT0MlP7yy+/xPjx4037VqxYoaY0+vj4YOjQoZg4caLav3PnTnz++ecqz1fHjh0xd+7cGvgpiIiIiGpP38t64R/J4dWpUydERUWp5/v27cPSpUvh5uaGNm3aYObMmQgICMD58+fx7rvvqtH3er1ejRLz9/evoZ+EiFwNR3YRkcswfoL4448/mvZJDglZkXHatGmmfTLc/oYbbkDPnj3x/PPP48CBA2rlRikj0x+vv/56DBgwoEZ+BiIiIqLa1Pcy73f9+eefKqWEJKY3Cg4OVv2u6667DocPH8ZLL72k9g8fPhweHh5qvzxmoIuIKhNHdhGRy5DlrW+++Wbce++9WLNmDWJjY1Xi1A0bNqBBgwaqjHxyKJ8k7tq1Sy2TLc/T0tIQEhKiHsfFxaFXr17o0aNHTf84RERERE7t2WefxV133aXydIWGhuL777/HnDlzMGHCBFOZ5ORkHDx4UE1vlA8gw8PD1X5vb281MkxGgY0YMaIGfwoickVcjZGIXIrBYFD5I06cOKE+bZTOU2BgoOnrs2fPVsGuwYMHqymOTz75pAqKSZnMzEw1vVES3M+fP1+N8CIiIiIi+2SEvIzukuCVpIcwTl8U0q+aOnUqpkyZooJhsmr2/fffj8mTJ6t+2P79+7Fq1SpkZ2fjvffeYzUTUaXhyC4icimSD2LUqFF2v56YmIjjx48jPT1dPZfcERLoktFg+fn5SEhIUJ86du7cuRrPmoiIiKh26tq1q9psSUlJUX2rn376Cbm5uWohIRkF9uabb+LXX39FVlYW9u7di8WLF1f7eRORa+PILiKqU6SjtWXLFjVtUT55lGWxJXeXTHvU6XQICwvDoEGD4OfnV9OnSkRERFTr7d69GxcuXMC1116LzZs3Y9y4cdi2bZvaJ/0tSR3RrFmzmj5NInIxDHYREREREREREZHL4GqMRERERERERETkMhjsIiIiIiIiIiIil8FgFxERERERERERuQwGu4iIiIiIiIiIyGUw2EVERERERERERC6DwS4iIiIiIiIiInIZDHYREREREREREZHLYLCLiIiIiIiIiIhcBoNdRERERERERETkMhjsIiIiIiIiIiIiuIr/B0Mae+Lle1mGAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "beta_as = 4.5\n", " sigma_as = 0.0 CoV = 0.896 L2 error = 0.117\n", " sigma_as = 1.0 CoV = 0.719 L2 error = 0.102\n", " sigma_as = 2.5 CoV = 0.593 L2 error = 0.091\n", " sigma_as = 5.0 CoV = 0.439 L2 error = 0.083\n", " sigma_as = 7.5 CoV = 0.328 L2 error = 0.082\n", " sigma_as = 10.0 CoV = 0.249 L2 error = 0.084\n", " sigma_as = 15.0 CoV = 0.151 L2 error = 0.096\n", " sigma_as = 20.0 CoV = 0.100 L2 error = 0.111\n", " sigma_as = 30.0 CoV = 0.061 L2 error = 0.144\n", "beta_as = 9\n", " sigma_as = 0.0 CoV = 0.896 L2 error = 0.117\n", " sigma_as = 1.0 CoV = 0.409 L2 error = 0.089\n", " sigma_as = 2.5 CoV = 0.159 L2 error = 0.075\n", " sigma_as = 5.0 CoV = 0.060 L2 error = 0.082\n", " sigma_as = 7.5 CoV = 0.048 L2 error = 0.105\n", " sigma_as = 10.0 CoV = 0.047 L2 error = 0.134\n", " sigma_as = 15.0 CoV = 0.048 L2 error = 0.194\n", " sigma_as = 20.0 CoV = 0.050 L2 error = 0.250\n", " sigma_as = 30.0 CoV = 0.052 L2 error = 0.347\n" ] } ], "source": [ "sweep = np.array([0.0, 1.0, 2.5, 5.0, 7.5, 10.0, 15.0, 20.0, 30.0])\n", "widths = {4.5: \"#2a78d6\", 9.0: \"#eb6834\"}\n", "cov, error = {}, {}\n", "for beta_as in widths:\n", " cov[beta_as], error[beta_as] = [], []\n", " for value in sweep:\n", " flux = solve(coarse, sigma_as=value, beta_as=beta_as)\n", " ring = on_circle(flux)\n", " cov[beta_as].append(ring.std() / ring.mean())\n", " error[beta_as].append(rel_error(flux))\n", "\n", "ring_ref = on_circle(flux_ref)\n", "cov_ref = ring_ref.std() / ring_ref.mean()\n", "\n", "fig, (ax0, ax1) = plt.subplots(1, 2, figsize=(12, 4), constrained_layout=True)\n", "for beta_as, color in widths.items():\n", " label = f\"$\\\\beta_{{as}}$ = {beta_as:g}\"\n", " ax0.plot(sweep, cov[beta_as], color=color, lw=2, marker=\"o\", ms=6, label=label)\n", " ax1.plot(sweep, error[beta_as], color=color, lw=2, marker=\"o\", ms=6, label=label)\n", "ax0.axhline(cov_ref, color=\"#52514e\", lw=1.5, ls=\"--\")\n", "ax0.annotate(\"Reference\", (sweep[-1], cov_ref), xytext=(0, 6),\n", " textcoords=\"offset points\", ha=\"right\", color=\"#52514e\")\n", "ax0.set_title(\"Ray effects: flux CoV on the circle\", fontsize=10)\n", "ax0.set_ylim(bottom=0)\n", "\n", "ax1.set_title(\"Relative L2 error against the reference\", fontsize=10)\n", "ax1.set_ylim(bottom=0)\n", "ax1.legend(frameon=False)\n", "\n", "for ax in (ax0, ax1):\n", " ax.set_xlabel(\"$\\\\sigma_{as}$\")\n", " ax.grid(alpha=0.3)\n", " ax.spines[[\"top\", \"right\"]].set_visible(False)\n", "plt.show()\n", "\n", "for beta_as in widths:\n", " print(f\"beta_as = {beta_as:g}\")\n", " for value, c, e in zip(sweep, cov[beta_as], error[beta_as]):\n", " print(f\" sigma_as = {value:5.1f} CoV = {c:.3f} L2 error = {e:.3f}\")" ] }, { "cell_type": "markdown", "id": "2655c0be", "metadata": {}, "source": [ "With the default kernel width, the overall error is lowest around\n", "$\\sigma_{as} \\approx 5$-$10$ for this problem, but the ray effects fall\n", "slowly. The CoV only reaches the reference value near $\\sigma_{as} \\approx 25$,\n", "where the flux on the circle is far too low. The wider kernel moves flux\n", "further with each artificial scattering event, so it removes the ray effects\n", "with less $\\sigma_{as}$ and less bias, and it gives the lowest error, around\n", "$\\sigma_{as} \\approx 2.5$. Past the best value the extra smoothing costs more\n", "accuracy than it recovers. Once the CoV drops below the reference value, the\n", "solution is smoother than the true flux, which is a clear sign of too much\n", "artificial scattering. The best values depend on the problem, the quadrature\n", "and the mesh, so it is worth running a short sweep like this one for new\n", "problems.\n", "\n", "## Notes\n", "\n", "* Artificial scattering is available in the 2D solvers: `fixed2d`, `timed2d`\n", " (all time discretizations) and `hybrid2d`, and in the 3D `fixed3d`. It has\n", " no effect when `sigma_as = 0`. It is not used by `critical2d` or `vhybrid2d`.\n", "* `beta_as` sets the kernel width $\\epsilon = \\beta / N_q$, where $N_q$ is the\n", " number of directions on the full sphere, as in Frank et al. (2020).\n", " `angular_xy(N)` keeps the $N^2$ directions in the upper hemisphere, so\n", " $N_q = 2 N^2$. Each 2D direction also receives the artificial scattering of\n", " its reflection through the x-y plane, so a 2D problem has the same artificial\n", " scattering as a 3D problem that does not change in z. Frank et al. use about\n", " 4.5 for explicit and 4.0 for implicit schemes, but a coarse quadrature like\n", " the one here can do better with a wider kernel.\n", "* Artificial scattering does not replace angular refinement. It makes a\n", " coarse quadrature more usable, but the converged answer still comes from a\n", " finer quadrature." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.18" } }, "nbformat": 4, "nbformat_minor": 5 }