{ "cells": [ { "cell_type": "markdown", "id": "99327698", "metadata": {}, "source": [ "# Island Jacobian Analysis: Periodic Orbits and Monodromy Matrices\n", "\n", "This notebook demonstrates the full Jacobian/monodromy analysis for magnetic island chains\n", "in an analytic stellarator equilibrium, ported from the Julia MCF_scripts approach.\n", "\n", "## Scientific background\n", "\n", "A **periodic field-line orbit** (cycle) is a field line that returns to its starting\n", "point after exactly $n$ toroidal turns: $X(\\phi + 2\\pi n) = X(\\phi)$.\n", "\n", "These are fixed points of the $n$-th iterate of the Poincaré map $P^n$.\n", "For a resonance $q = m/n$ (with $q = B_\\phi r / (B_{pol} R)$, the orbit period is $m$ turns.\n", "\n", "The **Jacobian matrix** $DX(\\phi)$ evolves as:\n", "$$\\frac{dDX}{d\\phi} = A(r(\\phi), z(\\phi), \\phi) \\cdot DX, \\quad DX(\\phi_0) = I$$\n", "\n", "where $A_{ij} = \\partial(R B_{pol,i}/B_\\phi) / \\partial x_j$.\n", "\n", "The **monodromy matrix** $M = DP(\\phi_0 + 2\\pi n)$ gives the linearized $n$-turn map.\n", "Eigenvalues of $M$:\n", "- $|\\lambda| = 1$: elliptic (O-point, stable)\n", "- $|\\lambda| > 1$: hyperbolic (X-point, unstable)" ] }, { "cell_type": "code", "execution_count": 1, "id": "d6873b2a", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:20.765155Z", "iopub.status.busy": "2026-03-15T05:01:20.764414Z", "iopub.status.idle": "2026-03-15T05:01:21.968536Z", "shell.execute_reply": "2026-03-15T05:01:21.967303Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Imports OK\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import sys\n", "sys.path.insert(0, '../..')\n", "\n", "from pyna.toroidal.equilibrium.stellarator import SimpleStellarartor\n", "from pyna.topo.toroidal_cycle import (\n", " poincare_map_n, poincare_map_n_trajectory,\n", " jacobian_of_poincare_map, find_cycle, find_all_cycles_near_resonance,\n", " ToroidalPeriodicOrbitTrace as PeriodicOrbit,\n", ")\n", "from pyna.topo.monodromy import (\n", " compute_Jac, build_A_matrix_func, build_delta_b_pol_func,\n", " orbit_shift_under_perturbation, monodromy_change_under_perturbation,\n", " MonodromyAnalysis,\n", ")\n", "\n", "plt.rcParams['figure.figsize'] = (10, 7)\n", "plt.rcParams['font.size'] = 12\n", "print('Imports OK')" ] }, { "cell_type": "markdown", "id": "bdf8e07f", "metadata": {}, "source": [ "## 1. Setup: Build SimpleStellarartor with q=2/1 island chain\n", "\n", "We use `m_h=2, n_h=1, epsilon_h=0.02` to create a q=2 resonance.\n", "In this model, `q = m_h/n_h = 2`, and the island chain has period 2 (2 toroidal turns).\n", "\n", "The q profile: `q(r) = q0 + (q1-q0)*psi = q0 + (q1-q0)*(r/r0)²`\n", "- At r=0: q = q0 = 1.5\n", "- At r=r0: q = q1 = 3.5\n", "- q=2 surface at: psi = (q-q0)/(q1-q0) = 0.5/2.0 = 0.25 ?r/r0 = 0.5" ] }, { "cell_type": "code", "execution_count": 2, "id": "67b01543", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:21.972194Z", "iopub.status.busy": "2026-03-15T05:01:21.971620Z", "iopub.status.idle": "2026-03-15T05:01:22.290357Z", "shell.execute_reply": "2026-03-15T05:01:22.288860Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q=2/1 resonance at psi=0.250, r_res=0.1750 m\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "q profile plot saved\n" ] } ], "source": [ "# Build the stellarator\n", "epsilon_h = 0.02 # helical ripple amplitude\n", "stellarator = SimpleStellarartor(\n", " R0=3.0, r0=0.35, B0=1.0,\n", " q0=1.5, q1=3.5,\n", " m_h=2, n_h=1, epsilon_h=epsilon_h,\n", ")\n", "\n", "R0, r0 = stellarator.R0, stellarator.r0\n", "field_func = stellarator.field_func\n", "\n", "# Domain limits\n", "RZlimit = (R0 - r0*1.5, R0 + r0*1.5, -r0*1.5, r0*1.5)\n", "\n", "# Find q=2/1 resonant surface\n", "psi_list = stellarator.resonant_psi(2, 1)\n", "psi_res = psi_list[0]\n", "r_res = np.sqrt(psi_res) * r0\n", "print(f\"q=2/1 resonance at psi={psi_res:.3f}, r_res={r_res:.4f} m\")\n", "\n", "# q profile plot\n", "psi_arr = np.linspace(0, 1, 100)\n", "q_arr = [stellarator.q_of_psi(p) for p in psi_arr]\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 4))\n", "ax.plot(psi_arr, q_arr, 'b-', linewidth=2)\n", "ax.axhline(2.0, color='r', linestyle='--', label='q=2 resonance')\n", "ax.axvline(psi_res, color='r', linestyle=':', alpha=0.5)\n", "ax.set_xlabel('Normalized flux ψ')\n", "ax.set_ylabel('Safety factor q')\n", "ax.set_title('q profile of SimpleStellarartor')\n", "ax.legend()\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.savefig('q_profile.png', dpi=100, bbox_inches='tight')\n", "plt.show()\n", "print('q profile plot saved')" ] }, { "cell_type": "markdown", "id": "d4b2b870", "metadata": {}, "source": [ "## 2. Poincaré Section and Island Chain Visualization" ] }, { "cell_type": "code", "execution_count": 3, "id": "4a288f8b", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:22.296932Z", "iopub.status.busy": "2026-03-15T05:01:22.295845Z", "iopub.status.idle": "2026-03-15T05:01:26.619494Z", "shell.execute_reply": "2026-03-15T05:01:26.618028Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Poincaré section (this may take ~30s)...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Field line 1/8: 101 points\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Field line 2/8: 101 points\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Field line 3/8: 101 points\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Field line 4/8: 84 points\n", " Field line 5/8: 3 points\n", " Field line 6/8: 2 points\n", " Field line 7/8: 2 points\n", " Field line 8/8: 2 points\n", "Poincaré section computed\n" ] } ], "source": [ "# Compute Poincaré section\n", "print('Computing Poincaré section (this may take ~30s)...')\n", "\n", "# Trace field lines from various starting points\n", "n_field_lines = 8\n", "n_poincare_turns = 100\n", "\n", "poincare_points = [] # (R, Z) lists per field line\n", "\n", "for i, r_frac in enumerate(np.linspace(0.15, 0.95, n_field_lines)):\n", " r_start = r_frac * r0\n", " R_start = R0 + r_start\n", " Z_start = 0.0\n", " \n", " Rs, Zs = [R_start], [Z_start]\n", " R_curr, Z_curr = R_start, Z_start\n", " \n", " for _ in range(n_poincare_turns):\n", " R_next, Z_next = poincare_map_n(\n", " field_func, [R_curr, Z_curr, 0.0], n_turns=1, dt=0.15, RZlimit=RZlimit\n", " )\n", " if np.isnan(R_next):\n", " break\n", " Rs.append(R_next)\n", " Zs.append(Z_next)\n", " R_curr, Z_curr = R_next, Z_next\n", " \n", " poincare_points.append((np.array(Rs), np.array(Zs)))\n", " print(f' Field line {i+1}/{n_field_lines}: {len(Rs)} points')\n", "\n", "print('Poincaré section computed')" ] }, { "cell_type": "code", "execution_count": 4, "id": "1f56d0a0", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:26.626130Z", "iopub.status.busy": "2026-03-15T05:01:26.625228Z", "iopub.status.idle": "2026-03-15T05:01:41.412712Z", "shell.execute_reply": "2026-03-15T05:01:41.411365Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Finding X/O points...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Found 2 O-points and 4 X-points\n", " O-point: (3.1237, -0.1237), k=-0.1045\n", " O-point: (2.8763, -0.1237), k=0.3026\n", " X-point: (3.1237, 0.1237), k=0.3024\n", " X-point: (2.8763, 0.1237), k=-0.1042\n", " X-point: (2.8383, 0.0169), k=2.0324\n", " X-point: (3.1587, 0.0546), k=2.0320\n" ] } ], "source": [ "# Find O-points and X-points using Newton-Raphson\n", "print('Finding X/O points...')\n", "\n", "# Known approximate locations from scan (for epsilon_h=0.02, q=2/1)\n", "# X-points: near theta=±0.79 and ±2.36 at r=r_res\n", "# O-points: near theta=±2.32 at r=r_res (for small epsilon)\n", "cycle_seeds = [\n", " # X-point candidates\n", " np.array([R0 + r_res*np.cos(0.79), r_res*np.sin(0.79), 0.0]),\n", " np.array([R0 + r_res*np.cos(-0.79), r_res*np.sin(-0.79), 0.0]),\n", " np.array([R0 + r_res*np.cos(2.36), r_res*np.sin(2.36), 0.0]),\n", " np.array([R0 + r_res*np.cos(-2.36), r_res*np.sin(-2.36), 0.0]),\n", " # O-point candidates (scan found dist? at theta?.02, r=0.1625)\n", " np.array([R0 + r_res*np.cos(3.02), r_res*np.sin(3.02), 0.0]),\n", " np.array([R0 + r_res*np.cos(-2.32), r_res*np.sin(-2.32), 0.0]),\n", " np.array([R0 + r_res*np.cos(2.32), r_res*np.sin(2.32), 0.0]),\n", " np.array([R0 + r_res*np.cos(0.25), r_res*np.sin(0.25), 0.0]),\n", "]\n", "\n", "found_orbits = []\n", "for seed in cycle_seeds:\n", " orbit = find_cycle(\n", " field_func, seed, n_turns=2, dt=0.15, RZlimit=RZlimit,\n", " max_iter=30, tol=1e-8, n_fallback_seeds=4, fallback_radius=0.02,\n", " )\n", " if orbit is None:\n", " continue\n", " dist_axis = np.sqrt((orbit.rzphi0[0]-R0)**2 + orbit.rzphi0[1]**2)\n", " if dist_axis < 0.05:\n", " continue # skip axis fixed point\n", " # Deduplicate\n", " dup = any(np.linalg.norm(orbit.rzphi0[:2]-fo.rzphi0[:2]) < 1e-4 for fo in found_orbits)\n", " if not dup:\n", " found_orbits.append(orbit)\n", "\n", "o_points = [o for o in found_orbits if o.is_stable]\n", "x_points = [o for o in found_orbits if not o.is_stable]\n", "print(f'Found {len(o_points)} O-points and {len(x_points)} X-points')\n", "for o in o_points:\n", " print(f' O-point: ({o.rzphi0[0]:.4f}, {o.rzphi0[1]:.4f}), k={o.stability_index:.4f}')\n", "for x in x_points:\n", " print(f' X-point: ({x.rzphi0[0]:.4f}, {x.rzphi0[1]:.4f}), k={x.stability_index:.4f}')" ] }, { "cell_type": "code", "execution_count": 5, "id": "01d13f9f", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:41.416892Z", "iopub.status.busy": "2026-03-15T05:01:41.416257Z", "iopub.status.idle": "2026-03-15T05:01:41.889912Z", "shell.execute_reply": "2026-03-15T05:01:41.888297Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Poincaré section saved\n" ] } ], "source": [ "# Plot Poincaré section with X/O points marked\n", "fig, ax = plt.subplots(figsize=(10, 8))\n", "\n", "colors = plt.cm.tab10(np.linspace(0, 0.9, n_field_lines))\n", "for i, (Rs, Zs) in enumerate(poincare_points):\n", " ax.scatter(Rs, Zs, s=0.5, color=colors[i], alpha=0.6)\n", "\n", "# Mark O-points (blue circles)\n", "for o in o_points:\n", " ax.plot(o.rzphi0[0], o.rzphi0[1], 'bo', markersize=10, \n", " label='O-point' if o is o_points[0] else '', zorder=5)\n", " \n", "# Mark X-points (red x's)\n", "for x in x_points:\n", " ax.plot(x.rzphi0[0], x.rzphi0[1], 'rx', markersize=12, markeredgewidth=2,\n", " label='X-point' if x is x_points[0] else '', zorder=5)\n", "\n", "# Mark resonant surface\n", "theta_arr = np.linspace(0, 2*np.pi, 200)\n", "ax.plot(R0 + r_res*np.cos(theta_arr), r_res*np.sin(theta_arr), 'k--', \n", " linewidth=1, alpha=0.5, label=f'q=2 surface (r={r_res:.3f})')\n", "\n", "ax.set_xlabel('R (m)')\n", "ax.set_ylabel('Z (m)')\n", "ax.set_title(f'Poincaré Section ?q=2/1 Island Chain\\n(epsilon_h={epsilon_h})')\n", "ax.set_aspect('equal')\n", "ax.legend(loc='upper right')\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.savefig('poincare_section.png', dpi=100, bbox_inches='tight')\n", "plt.show()\n", "print('Poincaré section saved')\n", "\n", "# Note: For interactive Plotly version, use:\n", "# import plotly.graph_objects as go\n", "# fig = go.Figure()\n", "# for Rs, Zs in poincare_points:\n", "# fig.add_trace(go.Scatter(x=Rs, y=Zs, mode='markers', marker=dict(size=1)))\n", "# for o in o_points:\n", "# fig.add_trace(go.Scatter(x=[o.rzphi0[0]], y=[o.rzphi0[1]], mode='markers',\n", "# marker=dict(size=10, symbol='circle', color='blue')))\n", "# fig.show()" ] }, { "cell_type": "markdown", "id": "9ac8001a", "metadata": {}, "source": [ "## 3. Monodromy Analysis for O-point\n", "\n", "The monodromy matrix $M = DP(\\phi_0 + 2\\pi n)$ encodes the stability of the periodic orbit.\n", "For an O-point (elliptic), eigenvalues lie on the unit circle: $|\\lambda| = 1$.\n", "\n", "Greene's residue: $R_G = (2 - \\text{Tr}(M))/4$\n", "- $0 < R_G < 1$: elliptic (stable)\n", "- $R_G < 0$: hyperbolic (unstable, standard)\n", "- $R_G > 1$: hyperbolic with reflection" ] }, { "cell_type": "code", "execution_count": 6, "id": "3fc2bf12", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:41.895898Z", "iopub.status.busy": "2026-03-15T05:01:41.894992Z", "iopub.status.idle": "2026-03-15T05:01:41.993041Z", "shell.execute_reply": "2026-03-15T05:01:41.991989Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analyzing O-point at (3.1237, -0.1237)\n", " stability_index = -0.104476\n", " eigenvalues = [-0.10447603+0.99401493j -0.10447603-0.99401493j]\n", "Computing monodromy (variational equations)...\n", " Monodromy matrix M:\n", " [[-1.95431995 1.21064224]\n", " [-3.64518199 1.74639332]]\n", " det(M) = 0.99999999 (should be ?1)\n", " Tr(M)/2 = -0.103963\n", " Greene's residue = 0.551982\n", " Eigenvalues = [-0.10396332+0.99458113j -0.10396332-0.99458113j]\n" ] } ], "source": [ "# Pick the first O-point for analysis\n", "if not o_points:\n", " print('No O-points found ?using first found orbit for demo')\n", " opoint = found_orbits[0] if found_orbits else None\n", "else:\n", " opoint = o_points[0]\n", "\n", "if opoint is None:\n", " print('No orbits found to analyze')\n", "else:\n", " print(f'Analyzing O-point at ({opoint.rzphi0[0]:.4f}, {opoint.rzphi0[1]:.4f})')\n", " print(f' stability_index = {opoint.stability_index:.6f}')\n", " print(f' eigenvalues = {opoint.eigenvalues}')\n", " \n", " # Compute full monodromy analysis\n", " print('Computing monodromy (variational equations)...')\n", " monodromy_O = compute_Jac(\n", " field_func, opoint, dt_output=0.1, rtol=1e-8, atol=1e-9\n", " )\n", " \n", " print(f' Monodromy matrix M:')\n", " print(f' {monodromy_O.Jac}')\n", " print(f' det(M) = {np.linalg.det(monodromy_O.Jac):.8f} (should be ?1)')\n", " print(f' Tr(M)/2 = {monodromy_O.stability_index:.6f}')\n", " print(f\" Greene's residue = {monodromy_O.Greene_residue:.6f}\")\n", " print(f' Eigenvalues = {monodromy_O.eigenvalues}')" ] }, { "cell_type": "code", "execution_count": 7, "id": "b4d9e2ef", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:41.997298Z", "iopub.status.busy": "2026-03-15T05:01:41.996789Z", "iopub.status.idle": "2026-03-15T05:01:42.716095Z", "shell.execute_reply": "2026-03-15T05:01:42.715110Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Monodromy O-point plot saved\n" ] } ], "source": [ "if opoint is not None and 'monodromy_O' in dir():\n", " phi_arr = monodromy_O.phi_arr\n", " \n", " # Compute eigenvalues and det along orbit\n", " DP_eigvals = np.array([np.linalg.eigvals(DP) for DP in monodromy_O.J_arr])\n", " DP_dets = np.array([np.linalg.det(DP) for DP in monodromy_O.J_arr])\n", " \n", " fig, axes = plt.subplots(3, 1, figsize=(10, 10))\n", " \n", " # Plot |eigenvalues| of J along orbit\n", " ax = axes[0]\n", " ax.plot(phi_arr/(2*np.pi), np.abs(DP_eigvals[:, 0]), 'b-', label='|λ?φ)|')\n", " ax.plot(phi_arr/(2*np.pi), np.abs(DP_eigvals[:, 1]), 'r--', label='|λ?φ)|')\n", " ax.axhline(1.0, color='k', linestyle=':', alpha=0.5)\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('|eigenvalue of DP|')\n", " ax.set_title('O-point: Eigenvalue evolution along orbit')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " # Plot det(J) ?should stay ?1\n", " ax = axes[1]\n", " ax.plot(phi_arr/(2*np.pi), DP_dets, 'g-', linewidth=2)\n", " ax.axhline(1.0, color='k', linestyle=':', alpha=0.5, label='det=1 (area-preserving)')\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('det(J(φ))')\n", " ax.set_title('Area preservation check: det(J) ?1')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " # Plot Greene residue evolution (Tr(J)/2)\n", " ax = axes[2]\n", " Tr_half = np.array([np.trace(J)/2 for J in monodromy_O.J_arr])\n", " ax.plot(phi_arr/(2*np.pi), Tr_half, 'm-', linewidth=2)\n", " ax.axhline(0.0, color='k', linestyle=':', alpha=0.3)\n", " ax.axhline(monodromy_O.stability_index, color='r', linestyle='--', \n", " label=f'Final Tr(M)/2 = {monodromy_O.stability_index:.4f}')\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('Tr(J(φ))/2')\n", " ax.set_title('Stability index evolution along O-point orbit')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " plt.tight_layout()\n", " plt.savefig('monodromy_opoint.png', dpi=100, bbox_inches='tight')\n", " plt.show()\n", " print('Monodromy O-point plot saved')" ] }, { "cell_type": "markdown", "id": "5213d694", "metadata": {}, "source": [ "## 4. Monodromy Analysis for X-point\n", "\n", "For an X-point (hyperbolic), eigenvalues are real and $|\\lambda| > 1$.\n", "Nearby orbits diverge exponentially ?the inverse Lyapunov exponent is $\\lambda_{max}$." ] }, { "cell_type": "code", "execution_count": 8, "id": "6dc19c41", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:42.722729Z", "iopub.status.busy": "2026-03-15T05:01:42.722163Z", "iopub.status.idle": "2026-03-15T05:01:42.836914Z", "shell.execute_reply": "2026-03-15T05:01:42.836230Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analyzing X-point at (3.1237, 0.1237)\n", " stability_index = 0.302378\n", " eigenvalues = [0.30237795+0.95326544j 0.30237795-0.95326544j]\n", " det(M) = 1.00000000\n", " Greene's residue = 0.348881 (< 0 ?hyperbolic)\n" ] } ], "source": [ "# Pick the first X-point\n", "if not x_points:\n", " print('No X-points found')\n", " xpoint = None\n", "else:\n", " xpoint = x_points[0]\n", " print(f'Analyzing X-point at ({xpoint.rzphi0[0]:.4f}, {xpoint.rzphi0[1]:.4f})')\n", " print(f' stability_index = {xpoint.stability_index:.6f}')\n", " print(f' eigenvalues = {xpoint.eigenvalues}')\n", " \n", " monodromy_X = compute_Jac(\n", " field_func, xpoint, dt_output=0.1, rtol=1e-8, atol=1e-9\n", " )\n", " \n", " print(f' det(M) = {np.linalg.det(monodromy_X.Jac):.8f}')\n", " print(f\" Greene's residue = {monodromy_X.Greene_residue:.6f} (< 0 ?hyperbolic)\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "756c3bd0", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:42.842376Z", "iopub.status.busy": "2026-03-15T05:01:42.841585Z", "iopub.status.idle": "2026-03-15T05:01:43.719698Z", "shell.execute_reply": "2026-03-15T05:01:43.718304Z" } }, "outputs": [ { "data": { "image/png": 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bqTPJ0K9PggZp/JXA0dD3LKb7fVT7vpzIy7hqCZ7kwo6QfU0ueshYVn1ygUfGzsr41ho1aqj9UhI0ydhuCVzkeGEo+Vpc6epBxrXKLbb18Lm60C2PLMA2tO/HZj+WcdsSBMoYXqljGSMs9SJjrOUCmjxHAmypD7mXBFaxCbBjui9ERsYES93LcUnydMh2kAs8Qi4ARafO4/J9j+6xPDp1G11xKa+xjpFEFDUG2ERkESSLqSTDkuQr0ootSa+k9UCSB0mLoK4VV660RycL7ZMnTwwuf/z4sbrXJRTS3euWR6TLMGtL05XIybUk2JLgTrITS3IzCWwia82VFm452YwYZEfc1vr/lxM5Q62dUYmYYdkc61x3Qh6dlrWo6N5bWpOLFi0a69fRbWPZNhKk6JM6kwBS/2KA7n2l9V3XkhZfJJmWJE2ToFr2OWk9u3DhggqkIvbakPUkOJQM7BII6pMLP7rM1p8jAbnQZSfXZyhg0W0PaTnv2bMn4kK/LiS7enT338j2/djuxxIwy8UCCaAlwJbvti6zuDwmycMkcD1w4IAqZ8RkgglF6lqCa0n2JWXS720hrdiSMC46EuIYr1+3hkRVt8Ysr7GOkUQUNU7TRURmT6bAkazL0nIlXXOlhaJw4cL49ddf1QmBrnUrJiQ4kC6UEem66em670p3OWkNk4DI0PQn0s1aRCdbc2xIUGpurdqSPVu6SkoWabnwId2RJSuurhtvRBKsyIn657a1rluykJN3YzMUZMm2le6U+uXQ3ctyQ4FWXOpcWlVl35X9NibDCiIy1nbS/6wRSVbwiJ9furNKUHXp0iX1vYxP0tVWAjrJBC3Z5nVDFgx1UZWu0NIVPmJwLYGWoc8WGd0+LBnjIzI0fZox99eo6kKychsqU1Rie+yS1mohAbZ0A5fu+hJk6x6Tepfs2jLcQbeuPt2FtPg+bkmdC8miHXEog2TAlyFFMdnuhrpoy/6vq9u4HOOjqlvp3SDZ3GP6WpF1KY/L8Sm6v4uW9ptFlNAYYBOR2fvxxx/VdC4yx65+a51M0yPjZGXKGQm8Y0JaSHXTfemfQMsYT7lKL1M56ci0N9IqLnO26p84SMusBPm6deKDdNGVrpqRnSxKGaTbvNwnFGnlk+mcZJyr7nNLHUVF5gjW764pJ+lSn0IunujI/MtyIUXmQNaNI9Yn42pjG8xIsCDT8eibPn266uouU9bIOFchU09JN2PpjhtxnLEEezJdjQRi+vtITOhaOqVlNWKXSwkIDc27G5FsM2kNl27aEkxEJK8TnTGdul4HMu2afllkOw8ePNjgc3766Sf1uNS9oVZd6UZurNZt3VjrBQsWqHm3peXa0PRoMkWQBJH686TLd1aGhsjY3OjSjVGN2PVeWs6llToi6UUjxyCZGk2GrBgiz5XvyudIt3cJFKdNmxYumJbPId+f2AQtsTl2SWAmx0CZ7kkupOgH0bru4DIlmP7f+nTDCmSatPikm/or4n4u21qmI4su3ZzPsn/JRSV98v2XqauklTwu4/el14VsU/l9kV4n+uQ4GJPhJtKbQKbyk2Bdfvv0yd9yfJQx8obGexvzdzG2v1lEtoBdxInIrC1dulQlM5NkLRJQRwz0pFVLgu4ePXqo7uESHEWHvJ7MqywBk5yw6Ob7lMBEkubod0/u16+f6oIoJ5wyX2ndunVVsicpl5zMydjw2JzMRIec3EqyL0nmJmWW1nspg27cuQSICTUPtr7vv/9enYhJ65h025fkSJGRMYESXEvLrbQ2SWIiORGUbd61a9dwiXgkGZMEKnLSLy2l8rnlZFGeIyfscvIoc0bLRYWYkm0mJ4hykwRL0mok9Son1zNnzgy37uzZs9V+IYGJtNJLIKWbB1v2O2m9j878upFtO/kcsm9L4i85+ZbPJMGhXASQz/65upSTWNmG8lmkFVX2E9le0gVUyinJt6R7t8wp/LnEb3KxRLr5y/MlcZ1c4JDkYnJCLXNj67pN60j5ZI5g2WbSQipj8iX4kIsmEozs379fXQCQbRhX8vnkuyiBjuwD8j03lHhOLsjIRR5pYdN9Bkl6JsG11Lt8nuiQupA6kWBL5hQvV66c2u/kuy+PrV69+pPnyAUXCTQ7duyIqVOnqufIxQ95/vnz59UQFqmPz3Wllm0p3ym5sCHfcRlfrJsHW7atLJPXi4nYHLukBVKOpfIcoR9gy0UoKadclJL1DCUOlPXl9WWOdnk/SZomz9OfP9sYZJ5n+Y7KxQ1pZZfPIT1D5PNKACr7bnRIrww55jRt2lR9HrmX/Vn2cfnuy/hj+U2IC9mHZYiTbAMpq/482BJwy/tKD5uI3zVD5Dsuv3tyEVD2Edkv5bgpvTxkLnE5Li1ZsiRarxWX38XY/mYR2YQoMowTEZmUTIsi04bIdCu6KZQMkalSdHOVyvQsUdGfQsvb21vToEEDNUVK4sSJNRUrVtRs377d4PNkDugxY8ZoChUqpOa1TZo0qZrbefny5VG+R1zn2H379q3mxx9/1GTOnDlsmh79143LPNjynpHRlTXiFCwRp8yKaqoo/SlbZJ7irl27ajJlyqTmgpV5XKdMmRJpfckcx1IGmSpL1k+ZMqXa9jI/8u7duw1+nsjoTycj8yqXL19eTRkl+1ajRo3Cph2KSObhlm0vZZC5uWX6qYYNG2qOHz8e5XsY+vyGyPRAMkWV7N+JEiVS0wHJPOIy/VF0yb7UrVs3NR2TvEayZMnUHLgyldg///wTrf1P5sudNGmSep5sa5k3WupK6kz2c5nL2RDZlvXq1dOkTZtWbZ/06dOrKZ2GDBnyybRQhqbE+ly5Ik4lJreTJ09Gui1k20tZpW6lrmT/lP1I9x2JuL9HViaZg7pZs2Zqn5PveunSpTXr1q2L9DsqZGojOT6ULFlSzUEuz5P6lDm7Zd5z+R5H15IlS9S0W1KfMid269atNQ8ePFD7v+yz+qIqU2yOXTpTp05Vryv7ZsR5pnVzlMvUXYbI+oMGDdLkyJFDTecWcTtH9Z2IrK4i8+LFC02XLl3U68n2kjm55b3fvXtn8H0i+54K+V7LPiPbXPZnmeNavv+y7SOKzbFcbN26VU2vJb838rsjvz/yXZHvkTzH0NR3kbly5Yr6nmfIkEFtZ7mXfUWWx3S7xuZ3MbJt+bnfLCJbYCf/mDrIJyJKKNLtN0eOHGocp6HpvCh6pEVDWoGlxUhaOSJr2dB144ws+zGZL+lyLb0HWrRooVp0yXT8/PxUhmeZzkk3NRhZB+m6LwkGZdhFdIaHEJH54xhsIiKKMemeLN2BZQxvTLN9k3mRDMH6cwcL6Ubcu3dv9f/YjjWnmJOxq9IVPmKiLRkeI939WReWS8ZZy/dKn7RxyRhsGYbAuiWyHhyDTURE0SbTcsl4UBmzKxmxJfkSWTYZ3ywt1DLuVsaFSsAtGaRlDHGdOnXUmFRKGOvWrcPw4cNVUi3Joi7fNRnTLgn/pPVaxqCTZZIEajJmumbNmqpnj2QPl2WSC0LqOiFzaBBR/GKATURE0SYBtSSQkimRxo8fH6fMumQeJFmSJFqShE4S0Ekma+kaLtnOpRX7c3PnkvFIgjRJ1iVBtSSpEzKkZciQIRgwYIBKGEaWSRKvSQZ8Sb63detW1TNBknLK90wS25lqPnEiMj6OwSYiIiIiIiIyAo7BJiIiIiIiIjICBthERERERERERsAx2FZIssE+fPgQyZIl49g5IiIiIiKiOJBR1W/evEGmTJlgbx91GzUDbCskwbVkpCQiIiIiIiLjuHfvnkpQGBUG2FZIWq51O4C5zU8rresyz2fatGk/e/WH4gfrwPRYB+aB9WB6rAPTYx2YB9aD6bEOTC/UjOvAz89PNWDq4qyoMMC2Qrpu4RJcm2OA/eHDB1Uuc/vi2ArWgemxDswD68H0WAemxzowD6wH02MdmF6oBdRBdIbfmmfJiYiIiIiIiCxMrFuw3759iytXruD58+cqkk+TJg3y5s0brWZzIiIiIiIiIpsOsH18fLB48WJs3LgRFy9eVM34+qQpv1ChQvj666/Rtm1b5MyZ09jlJSIiIiIiIrLcANvb2xvDhw/HP//8gxQpUsDT0xNNmzZVAXTKlClV2vJXr16pAPzUqVOYPn06fv31V3zzzTfqvkCBAvH/SYiIiIiIiIjMPcAuVqwY6tWrhy1btuDLL7+Eo2PUTwsODsauXbswe/Zs9dzAwEBjlZeIiIiIiIjIcgPs8+fPx6gVWgLw2rVrq5uM0yYiIiIiIrIFISEhCAoKMnUxLE5oaKjabpJJPKGyiEvc6uDgEK3s4NF+zeisFJcu3vnz54/1c4mIiIiIiCyBDJt9/PgxXr9+beqiWOz2Cw0NxZs3b4wa8H6OBNjp0qWDm5ubUd43TvNgBwQE4PTp03j69CkqVaqkMokTERGZwofXH+B7+xXe3H2FD0/9EPz2A564l4U/kuD9eyCp93G43TgJhGo+PkODDx8C4OKSSGa2xN0yjYAMGeHiAqT0vY1UL2/AMakLEqVOCtcsKZHcPSWSZUoGO/uE+9EnIiLLoQuuJVhLkiRJggaJ1hJgBwcHq1blhNh2uvfz8/PDo0eP8P79e2TMmNF0AfbUqVMxcuRI+Pr6qr937tyJ6tWrq2m7pNV63Lhx+O677+JcQCIisl0BfgF4dOwuXl96gHfXHyL47kNsy9EVd58nwcOHQKPLo9Hs+Uy4hb5CYnyAC4D0es/Pj8u4Cm1Pql+wGcPxa6TvVXZNGZyA9oe1H9ZgPPp/sk4I7OFrlwI9Mq3HzSweyJABKG9/HOV9d8AhS0a45MiIZPkyIUP57EiRI2U8bBEiIjLXbuG64Dp16tSmLo5F0iRwgK0j00wnSpRIxbFSf9KineAB9sKFC9G7d2+0aNECNWvWDBdISyu2BNorV65kgE1ERJ/l/9wfl31ccOWaPW7dAjJvX4CSl5Yi7dtbyBhyH9mha3HW+gENcB151f+/QAAy4NEnAfBbBzcEOiRGoVxAmpRQrdLOr4rgyJPGgJ12XJe8amhICOxl7JVGg+IF0yGlHfDhA+B2NxWuPS4C55D3SBLyRgXwiRAIB4QileYlrj9IjBMPtO+ZG/vhieGffK7XdinwyCUnlpafgZAy5SEzVxZI/xIFcgchTcF0bAknIrIiujHX0nJNlsfV1RXPnj1T9WiSAHvixIlo2LAhli9fjhcvXnzyeKlSpVQLNxERkU7g20D4bPHGs93nEXzuEpLc9kaGl5eQJfg2muIGfJBTrTcMD/Ad9oU97x2S4IlzVvgmyQh/t0z4roYDnAsAmTIBWTSdcDn0GyRzT4Vk2bRduFM52iPVx+euC1eCph9vWjLOS4Y4ydVqSaZSIdy6HT/etDShGvi/fK+6oL+99wqTk+XE07fAo0eA64HC2H/6eyR++RBJ3z5Cmg8PkFbzFCk0r5Hi/Wls3euCc3u1r9MLSzAZffDSLhXuJSsI30wFoSlQEMkqFEaORiWQMpeu5EREZInYLdwyJXiSs4hu3LiBnj17Rvp4qlSpDAbeRERkO127L3rb49R5J5w6BeTdNgXd7/VHPgQin4H1yyW/gizFciJ3biBzkm9wSJMbbiVyIn2FnEhTIC1y6rX2Vgr3zKwfb/FLWpuTpEmibiidGXn0H+xSG4Dc/u/d03d4dOQ2Xp68hR+S58W1+8DNm0D+Q08Q+tpOtYKn8jsIyE0m2/gHkB7pX2c6DscKZVCqFFDB/SGKlHJG6nzMb0JERGQpYhVgp0iRQvVRj4y3tzcyyMA0IiKyCc8vP8PNJYfwftchpL5yCHnfnkJ/bMUefKEeb470qou1dJv2cSsOv6yFYFeoEJKXL4gsNQtiRYG0eq9W5OPNcrmmc0XuhoWAhoVQNtwjv+H9y+G4s/MaXuy/hKBz3nC5dQkZn51XLfk7HxaE/zpg3TpgKn6DJ6bjtlNu3M9WCaEVKyFTk0rIWTc/7B0TZvoSIiIikT17drRv317l4BJyP2bMGBQrVgxLlixBwYIFY/W6q1evxo8//oi7d++qbtoxIQ262bJlw5o1a1C3bl2DrdIytFnKbfYBtnyAuXPnomvXrp88dunSJcybN4/jr41ExgLITuHl5YUsWbJg5syZ+OIL7QkrEZGpSIKxU4svIsXCSchy+yByBF1HxHbWConPwaHyF6o1tmz+urjrfhNZq+ZACRsfe5w4VWLkb14MkJueV3f8sOmmq2rxP30ayLn5GfAWyB50A9lv3gBuLgaWAq/sUuJ62oo40n05KtdNjuLFZYoRk30cIiKyQY0aNVK9locNG6YC5P3798cqMdyIESPQo0cPJE2aVCU5iwlJJvf999+rMhgKsE0lVgH26NGjUa5cORQuXBj169dXVwcWL16Mv/76C+vWrVPpzYcP/zThC8Vct27dVG8ACbR37dqFZs2a4fr162qHJiJKKK99XuHKbC/sv5UFCy+WwZUrQGm8xwksDFvnRqKCeJijEuwrV0LWFpXwa7VcunxiAJJ/vFFkUronR3V3oHp13ZKVeO0zC9eXHMG7nYfhdukQ8r0+hpSaV8j49Bx6D08Gya2WMiUwKctE5CiYGFnbfYEctfIygRoREcWrokWLqptMcSUB7p07d+Du7h6j19i0aROuXr2KTp06xbocEtxL7q89e/aoRNsWG2BnypQJp06dwuDBg7Fq1Sp1tWHp0qUqxXnLli3x+++/c05sI3j79i02bNiAW7duqYyEDRo0QJEiRbBx40Z06NDB1MUjIismSb2urDyLxwu2IM3xLSj09hjKQ4NL+A5XUAaSC8S+ZEnsdh6C5DUrIPe3FZA7VyrkNnXBrYxM9VVmRF1AbpKl1j8I3mvO4sqhF6j/2A5eXsDrV6Go/2osUl94CawCHjhkxc28deHSuB4K96yOJGlj1uWOiIgouiT2kwBbunr//PPPMXqudN+uVKkSMmfOHOv3L1CggGr0XbRokdkE2LEexCVZV+fPn4+XL1/iyZMnanLuV69eqVZseSwuQaV0Fahdu7ZqpZXWcdlg0SHd05s2bYqcOXOqgFSC/KpVq6qrI/EtpuUOCAjAgAED1MWKxIkTqx4BMpe4Pmmplu4S0jVcRwJs+ZxERMb29i2wcU0g9uf/AY+dsqBA65KotmcYirw9CntocNM5P9KXzY7162XcE3DspAO+ODwaZUbWY/brBOKUxAkF25VBo7m18e+/wMuXwJG9Abjw5U84nbI6PiARMofcQ9XLc1B2dAPYp0uNDdl7Y/p04PZtU5eeyDBfX0Amn6lUCWjcGFi8GIgi1Q8RmRGJZSTukkbXmPjw4QO2b9+OL7/80uBjMiV0//79cfLkSeTNm1flAJPYSbqVR1SjRg0V78W0i3l8MUqWlLRp0yJ9+vRqmpO4kuRpo0aNwuXLl9Wg+ZiQrglv3rxBu3btMGXKFHU1RUjLr4wZj08xLbeMq540aRJat26tyirzrcnYgYMHD4YL2pMnD9+lUv6W5URExur6vWPwPjRsCEjHo6+bOSPN1UPIGPoQb+GKYxkaYv+3c/Ho+D3kCriMr44NwzffaLslk+k5OgLlPBPDc+cQlHy5G5oXr3Dyly3YX7gr7ju4wwUBuHAnGXr0AHLkACoW98feL8fg5iZvUxedCNJeIOl8pPGqVy/g8GGoC3iSjyh9esDDQ6aGldlrTF1SIoqMBNb+/v6qd7P0uo0uWT8wMBAlS5b85LFvvvkG06ZNUy3T0oAZHByseu+OGzcOffv2NThF9OvXr82mETJaXcQlcIwpacHVBbgxIeO3pTVcxh3LFYsyZcpE+7kSoEYc4N69e3e10SWYjap/v7S+7927Vw3YN2TFihUqUI8su11Myn38+HGsXLkS48ePR79+/dSytm3bqp1IrtQcll8YQLVey7gGffK3LCciikvGb+/fNiDJ1nUo9mI3KiERvsYzBCAxcuYEDhX4De8rJUbhbh4olzyRqYtLMUygVnp4XWB4XWhCp+PmZm+kOeYGj0OAXL/NcG47qmEosHuo6pFwr0xjZOjWGPmaF+e4bUoQoaHAhg1QvSr2fpwfXkgC4s6dtS3XGzcC588DkjNJbnKqJMG2BN9MQUOWRhpV/f1hNpIkkTjNeK83a9Ys1Xv56dOnqpv4wIEDo/W8K5LMBXLxN0e45QcOHMCOHTvQp08fFR9J7q/KlSvjzz//VI2pM2bMwKBBg1Tjro70XtbNZCXxlMlposHOzi7GN3t7e01cnThxQtr5NQsXLozT63z11Vea9OnTR7nO6NGjNQ4ODpr169d/8tj8+fNVOWbMmGGUcv/888/qvXx9fcMtHzt2rHre3bt31d9v3rzRODk5ae7fvx+2jqenp+avv/6K8v3ldeV1Ir6+OQgJCdE8evRI3ZNpsA5ssw78HvhpDvywWHMidS1NEBzk9z7sdi1RIc2Urlc0585pNKGhGptha9+FZ880mi0/79UcT1tHEwCncPvALae8mr2eIzW3Dj9K0DLZWh2Yo4Sugy5d/r/ryalio0YazZ49nx57fHw0milTNJrq1TUah4+HrOLFNZrnzzVWid8Fy6+D9+/fa7y9vdW9vrdvwx1uTX6T8sSGu7u7ZsSIEeGWnTp1SsUcEydO1JQoUULd9G3YsEFTsGBBFc9EfO4ff/yhnqsf54SGhmqGDRumll+9ejXsfdu1a6f+/++//6rH1q5dG+61Ll++bDBWi0kcGVn9xSa+ilaf7tDQ0BjfDPWPTyjv3r1TXbZv3ryprnZs27bts1NbSZ/+evXqqYH6u3fvDlu+fv16dO7cGW3atEGXLl2MUr4zZ86osQQRu3+XLaudLfXs2bPqXlqqGzZsqLpGvH//Hps3b8b58+fVMiKizwkMhBqn27w5MNF9CirPa4fSL3bAESHwTlIKXjXH4tbWK8jz4SJ6zsiHokWNe1WbzIsMAag7zhNlnm7F+zvPcKjL3zia8Ru8hwtyBF2Dp9dI1Kroh3LlgClTgMcPQ01dZLIyy5dLa5f2ODNgAODjo53zvVq1T4892bMDPXsCckomrdnSWCWnR5LDiOOzicyDtF5LLinpvt28eXMV41y/fj3s8RIlSuDff/9V8VVkIo6blh7BMuxY1yqtT9faLesYeg3pQW2xWcTNnfTNnzNnjvq/VJB0+54ufZGi4OjoqMYQSJKyr7/+Wk2JJWOdW7VqhTp16qgsd8aqNNkppEt5RLplD2WC2Y9k3msZUy7zvEmyMykjp+gioiizf684g6d//IU5PrWw4m19tTwnWuJb52W4W6kVcg5piYJf5EZBUxeWTMYtmxsqzWwNzGyNNw/f4OCoDXix7QRu3s+L0OMylAnI2LslcqTxQ/C336HkyAZIxOECFAdXr2q7gIuhQ2X4YfSfK93HJWO+BOISbEuQLYF32rTxVlwio3bJNqf0SVIeY/D19VVDaCVWSpkypZpKWLqHr169GkOGDFHrZMuWTd0biqEkttEN09VP6BxVvOXk5KTuI+b9ktcQ5jKLlVUG2JJ1rkmTJipQlUqW1nQZRP85Li4u6ipLtWrV1FhueY5k95bXkADcWKQ1OlGiRAbfX/e4fgK5rVu3Rut1ZUyC3EzZe4CITOPl9Re4MHAZMmz9CwU+nEMBSWCGe/DKWB9y4bhVq1zIWcIbuTjOliJIlikZKs/+FsC3ePgEWL0aWLfkHeqf/BeJn38A/tyOl5NT4WjRNsgw+DvkaxazBKREclrTrJk2yPD0BEaMiPlr5M///yD7wgXt/Z49MqtNfJSYyHgkXowkhZNFW7Jkieo13K1bt7DWZemNu1ovwI5KfvlSQ3qy+KhZknRkLm3pDS3L8+TJE+45uiRqEcdty7q6KbvMQazTfktX5R9++EElEMudO7dqxte/5cqVC6YiFSYp32VgvHSrlpbo+vXrRyt1u3TbnjBhgpp+TJ43efJk1fXBmOT1ZJouQynpdY/HhuzgMrj/xIkTcS4jEZm/0BANTv2+E4ezNYdr3kzwWN8L+T6cU1M1Hc7WApl/74l797RZeEuVApNY0WdJN1zJOO51whVPd12AV6UheGSfGak0L+FxbqpKhubtWhr/fb8aEXJwEkWqd29ty7MEw9JN3MEhdq+TL582yM6USZuBXILsJ0+MXVoiio7Zs2ejQoUKqhu4jnQTP3/+fFgCs6hIDOns7KySQ+uT3sRCpoPWJ3GczAqVLFkyNQ1zxIzkbm5uKFSoECw2wPby8lJXKCR4lbnP5GqCBNXyf8nuJmOHI35wU5LWbAk6r1279tl15bPI1FkSpMsVlMaNG3/Szz+udBnHI9Itk+1IRBQZmft40iRtiw4GDUTFe6uRCIG4nLgk9jWdjvc3HqLinRUoPeCLWJ/IErl/kRueB0cj3fs7OPnrNhzJ0hSBcEJB/1P4b8FdNbWSpCY5f8485h0l8yQBtcyUKq14y5bJOVDcXi9vXmDfPkB6lHp7a1vEX7wwVmmJKDr27dunGvV0rdc60k3czs5OtWJ/jvTcrVmzphqWq69o0aL49ttv1WxLkklcGjyvXr2Kr776Chs2bFBZxSPO6rRz507VmGouY7BjFWAPHz5cBdTyYWVsshg8eLCaw1mmmLp//77awOZC1+VaxgpERQJcmahc+vdLRclNuj5I5UuLtrEUL15cBfsRp+A6duxY2ONERBF5Lz4Br3ydkD+TH2QayOs37DAzcV/sK9INV1eeQQH/U/BY3Q0pczFPAxmPg7MDSg+tjQr3VuPNlYfY981kHMrTQXX3nT0b+KP4cpxPXgmHui5DgN+nvbPItsdd62ZIlZlbv/zSOK+bO7e2JTtrVpnqB4hGb1QiMnJyMxnG2rRp03DLZSx1xYoVwwJsmXJLejpL0uipU6eq/+snQfvuu+9w9OhR3JPudnrmzZuHn376CX///TdevHihYqTLly+rnFo9JfuhHmktv3jxItq3bw9zEasA+/Tp0+jYsaPqTu3wsXlEN+5XxixL1u3YzIEdEzKhuWxQyRauI/OvRRQUFKTGCEi364KSJSMSMji+Vq1a6iqJXEmRHUT6/cs8bFLpkmFcgm1jtajL9pJuDjrSZVwuVsj2yyq/GEREkgn8baAKXLxdy6Bg+7LwvDYPTQOWolgxQHI5TnnaCh7np6uuu0TxLXW+NGoowuGrqdUcxnJu9SPmoOibw6g0qw3epMgCryrD8OSscXt+keWRtg3ZP+TUSVqZhw837uvLSERpERdyOvVxAhYiSgArV65UcZd08Y7o4MGDKuAVVapUwY0bN1SjojRWyv/1x1U3aNBA/a0fEwl5XRmy++zZM9WjWIb9Si/jiC3muq7q0k29umQ/NBOxytwlCb+k/7tIkSKFavHVD26ldVu6DcSWXJ14/fp1WDbtTZs2qVZx0aNHD9XH/vjx4yoZmUxhNXLkSPWYBPZSgdI9PXPmzHj8+DGWLVumAvGJEyeqruuRkWzdEkhL93f9ipfWZOkKL63YixcvRteuXeNUbiFBtFzxkUnSZbvJ1Rx57du3b2PBggWx3m5EZD1e3niJ893mIN+u6agUqj2mBMAZJ3I0Q+fhFTC9HafUItORfU+CJrk9ObsKXn3nI5/XHGQMfaC6lQeW+AMHc7ZE2rF9ePHHRvXrp01GFtdx11GpUkU7DeGqVdopvaTrOI+LRJbDwcEBo0aNUlMhy5TJEbt+f460bstYbWkxN5fu4YomFkqVKqXp169f2N9FixbVNG7cOOzvhg0banLkyKGJLZlQXIpm6Obj46PW2bt3r/pbf9LyFStWaL788ktN+vTpNY6OjpqUKVOqvzdu3PjZ9wwKCtJcvHgx0sfPnTunJj+Pa7l1ZBJz2YYZMmTQJEqUSFOmTBnN9u3bNcYQk4nQE1pISIjm0aNH6p5Mg3Vg3nVw+bJG07v9K40fkkpaRnV7bJ9Bs/eLXzXPvJ+apLzWit8F4wp6H6Q5/NMazblkFcP23X2oovHw0Gg2bJDt/elzWAemFx918PKlRuPsrN0NduzQxKu7dzWaxIm177VypcZi8btg+XUg5/be3t7q3hpJnKMfd8WH0NBQTWBgYLiYS963Xbt2sXo9iYcWLlxolPqLSXwVqxZsmcLqr7/+wm+//aZas6WPvEwwrmv5vXnzpnostqQl93M8PT0/yQreokULdYsN+RxRZZ6TAffGKLf+wH4ZvC83IqIza25g5N+58e+/8lcKVEZNFEp8Cy++7YPS45vDk3MQk5lzdHFEhYlNgIlNcGnhcbz+ZTL+vNdCtSrKrWzul5hQ6R+UndqGc2pbubVrAZkdVWbeqVkzft9LRtUNHKid+uvnn4H69Y03zy8RUWzEKsCW8dW9evUKG3/drl079f9169ape5n7zJwGmhMRmSNNqAYnft0Kpz//QFHfg7iIa7Czy4UGDYD0nRchX62knFqLLFKhDmWBDsvhfh/IP0ObDK3mjRmocmM4Hi0djqt1f0KpOZ3gmsEKJ4elsLHRrVsnzPtJYC0j7O7eBcaNAz6OHCQiI4pJQ6K5vG90pmg2myRnMuY6derU4fq6t2nTBv/88w/Wrl3L4JqIKArBH4JxYdAm3EhWEmVG1kNx3/0IgQMGVT2My5eBDRuAynWSMbgmiydTKUmHNgl8qjbNgEf2mZAx9CE8N/dDSJZs2FdlGF5d5RxL1kTqWnosiFatEuY9EycGJkzQ/v+PP4A7dxLmfYmIjBZgSxY4mUQ8MhcuXFBZuYmI6P+C/INw4LuFeORWEDUWdUK+D+fxBknhVaovXpzwwff7vkW+fKYuJZHxSV7UGqt/QKpXt3Cg/QLccs6HFJrXqHZ4LNw9y2BvuUF4/IjzaVsDSWgmPDy03bcTSpMm2vf88EHbok1EZFEBtkz63Uk3saEBks27n6SPJCIiNRZx/nygdIF3KLKwD9yDb+K5XRrsrT4KwTfuwPPkBGQsndnUxSSKdzL2usrC7+D+5hKO/rwO3klKIwne4+7Jp8iR0w69ewMfJ+IgCyS9Mf/+W/v/Nm0S9r2lU+XUqYC9PbBmjXaebCIiiwmw9+zZo+Yti0z9+vXVXNJERLY+h/XOzmuRN48GP/wAnL+bAhOTjoRX3T/w5twxeOwcgpS5Upm6mEQJzsHZAeXHNUI+36PY2381Nhcfqloep0wB6mb3xr5iPfDo5ANTF5NiSDo3Xrokc9hqW5QTmuSj7dxZ+/9evYDg4IQvAxFRrAJsmfQ7TZo0kT4u47P158UmIrK1MdYHOvyFpynyosbcpsh7dycyZAAmTQIGPemNqpv6IXFaprklkjwDBfpUweqTOfDff0ClSkD/oNHwOD8dqcrkxL4SvfHs4hNTF5NimNzsq6+AFClMU4ZffwVSptQG+3/9ZZoyEJFti1WAnTFjRpw5cybSx0+dOoW0adPGpVxERBYnNDgUh3uuxL3khVBlUUdkCbmDx/YZ0avDG9y6JcNrOH0MUWTde2vUAA4cAApM+B5n3aoiEQLhcXYKkhTJCa+Kg/Hah7ldzFlIyP/HXydU9nBDUqeW2W60/582TdttnYjI7APsr7/+GgsWLMC/2glbw9m4cSMWLlyIb775xhjlIyKyiOm2jg/bhOvJSqDitJbIEXRNjbH2ajARbs9uot5fjVWWWyL6fKBdom91FHvphdN/7MQl1zJwhT88j/wGu5w5sKPeFLx5Y+pSkiH79wMPHmhbruvWNW1ZOnQAXFyAixel0ce0ZSEi2xOrAHvkyJHIly+fCqJLliyJtm3bqpv8v1GjRsibNy9++eUX45eWiMgMTyorVwxFstH9VVZwXySHV/VRSHT/Fjw3/oTEqRhZE8Wm63jJ/l+ioN8xHBu0AdcTFYYbfOG11R+5cmmTWUnyQDIfuuRmMvZagltTkiBf187DbuJEZBEBtpubG44ePYqhQ4ciKChIzX0tN/n/sGHDcOzYMaQw1eAbIqIEcONfb3xTN0BNC3P4mANGOv8Gr/IDEXrDB567hyFZpmSmLiKRVQTa5cY2RK6353Cox0psydkTz55pE1i1zb4fh3utQmgI+wCbmiSoW7vWNNnDI/Pdd9r7FSuA9+9NXRoiy5c9e3bVyKoj/3dyckLp0qXh7e0d69c9fvw4nJ2dcScWE9hL7Jk1a1bMnDkzWmU26wBbuLq6qlZqmfPa399f3eT/8iHkMSIiaySZjQ/k+x45GhZBtm2z4eAA/PgjMOXO16obK7OCExmfvaM9Kk1tjlNXXDF7NpApfQgGPuqJilNb4Erysjgzaa+pi2jTNm8G/Py0815XqQKzUL06kC0b8Po1sGGDqUtDZH2k1/LEiRNx/fp1/CgnQrE0ZMgQtGzZEu7u7jF+rgT4P/30E8aMGYMPcqXPTMQ6wDbk1q1buHz5sjFfkojILPjd94NXpSFwK5MHVa4tgANC8VX2i2pKmlmzoLKEE1H8cnLSTsN01TsEr6s3xhskRUH/k2rc9ol09XD9n4umLqJNZw9v1Uo7D7U5kHK0b6/9/8KFpi4NkfUpWrQoevbsiZ9//hkHDhyIVQv02bNn1dTOcQnQO3TogOfPn2O5LsuiGYjVYXDq1Klo0aJFuGXt27dHnjx5ULhwYdVVgNN0EZE1CAkMwf628xCQLQ88D49FErzH+WSVcGH2IdTwmYd8+UxdQiLbkzSVsxqK8eHiTewr0g1BcESZZ1uRs1Ex7C/UBc8vPzN1EW3Gy5fAli2mzx5uiC7A3rULuHvX1KUhsk7S+ixWr14d4+cuXLgQ2bJlQ/ny5WP9/jIsuWbNmli0aBEsOsCeP38+0qdPH/b3jh07sGTJEnTq1AnTpk1TLdlMckZElm7PHmBNpp6ourQT0mqewscpL44N/AdFXh9Akc4VTV08IpuXtlA6NWf2g/+8cSRTY9WzpKr3bPQt5YUJE4CAAFOX0PrJ2OugIGnNAooUgVnJkQOoVk07VdfixaYuDZF1ypQpE5IkSYJVq1bF+LkbNmxA9erVYSdTSOgJDQ3FqFGj8O2338LHx0cl0k6aNCk6duyohiVHVKNGDRw8eBAv5YqfpQbY0gWgQIECYX/LFYscOXJg1qxZ6Nq1K7p3746tW7cas5xERAnm+nWZjhD44gtg9Isuasqtfd9MRuaXF1Dut69V4iUiMh/Za+RBhQdrcXbKPqxN3RlL3jfBzz8DhQoB2+feVVPpUfxmDze31mv9Kbt03cRDQ01dGiLrI4G1BL2nTp1SjazR9eDBA9y9e1cFzxFJPDlixAg1a9WECRPU6/bt2xeLFy9GKxmLEkGpUqWg0Whw+PBhWGyALR9A33///Yc6deqEy9j2+PHjuJeOiCihx1mX7oct+X/Cxo1QCcyq9ygMu3v34LG+F5yTOpu6iEQUheI9q6LR09lYuNBO5UV4dtMXJTuXxtnU1XFt3QVTF8/qPHkCHDignb/8Yy9Rs9O4MZAsGeDjo51Wkchk3r2L/BYxQVdU60ZMix+TdeOBNLCmS5cuxt3Er1y5ou6lkTZiQ+68efPUdNAyY5UkUZPx3tI7WsZ8b9y4UQXz+nLmzKnu45LN3OQBtsxz/c8//4R1D3/48GG4APv+/fucpouILEZocCgOdlqC9+754HlqIrqHTkW7andw4YJ2vt3UmU08qSsRxTi5lfREmdLiKJLhDUq89kLOJiWwr1hP+N5+ZeoiWo0bN7T32bNrM4iboyRJAF3aIM6JTSaVNGnkN7kSpE8C1sjW1Yu5wr6Aka1btWq8fqTTp0+rabYGDBiAEiVKfBJgT5w4ERUqVEDVqlVRrFgxbJYpBz568eKFuk+ZMmW45+zbt0815uoSnwUGBsL+Y/ZESWgmvLy8wj1H9xqS7MxiA+x+/fph586d6sPUr19fdRevVatW2ON79uxB8eLFjVlOIqJ44b3sNC6lrIzK89ohfehj3HLKizO/bMKiPe7QGwlDRBZGzi3br6iFFwev4EjmxnBECDzOT0NQzrw40G6+urBGcXPvnvY+SxaYNd2c2DJeXKYTIyLjtV4nTpxYBb7NmzfHmTNnVIuzToMGDXDo0CHs379ftUA3a9bsk+m0IvaMfvTokbqX5NkR6Vq7detEfI2IY7ktKsCWDOLSci2Zw2Xusr1798LR0VE9JoPLU6VKpRKeERGZqxfXX2J/gc7I36Y0irw9grdwxd46fyDziwsoMzzC1WEislhZKrmjwv21OP3HTtx0LoA0mueosuQHeKeogOP7zWfeVEt0/7723lxbr3XKlQPy59f2lo1FHiYi43j7NvLbunXh15XZmCJbd9u28Ovevh35uvE4LsLX1xcrVqxQY6Kl0VWCZ7FarxVbgmRd67NwkLF3H6VOnVrdv3oVvleRLkiOGHjr5r0W+q+p/xpp0qSBOYj1bIWSre3PP/9UA9DTpk0btlyC6/Xr16t+80RE5kaS3MydC1QsE4RiV1bCHhoccm+FNyeuotrW/kiUjOOsiaxRyf5fIturc/BqOAm+SI6T7wqgnIcLpD3gY09FstIWbDlf1092RmQSrq6R31xcor9u4sSxX9eIZAapd+/eoVu3bmGty2XLljU4DluGE0sS7LFjx8Ll42fNL1e9IPkRfMKt6+7uru5v3rz5yevokqhFHLetew39JNwWGWATEVmaS5t9ULEi0LkzcM03PcZmm4OzU/ej0u1lyFg6s6mLR0TxzCmJEzw39EHAuas41Xy8WjZvHlAjz20c/O4vdhu30hZs8e232sSVR44Aly+bujRElm/27NlqfLWMvdaRbuLnz58PS2CmG2stuboaNWqEHj16hC3PnDkzsmbNipMnT4Z73S+++ALOzs5qWmhD7ymt1/q5v4QkPZOWbymPOWCATUQ2kR18X4neyF8/N1Ie26bGZv75JzDmZgsU71HF1MUjogSWrmgGTFuZVmXALlwYGPmqJyov7IiLqari2trzpi6exbCUFmyRMeP/c0OxFZsobiQRmWTs1rVe60g3cTs7u7BWbEk6JgGz5OqaKlljI2jYsKHK3aXfHVy6effv31+9hgxHlvHWcpM5seU1evXqpWas0ie5wSpVqhTW7dzUGGATkdWSuW8P91oFf/f88Dg7BQ4IRdd8eyAXVnv3Bj6mjiAiG1W5MnD6ZCiSf+Wh8jAUfXMIOZuWhFfpvnj7+K2pi2f2LKkFWz/Z2cqVMr7T1KUhsuzkZjJEuGnTpuGWZ8mSBRUrVgwLsCUAv3btmso07unpqW76XcK/++47NR+2JELTJwnRpDv5rl271PPlJoG4DE2WebEjjgWXKaMlGDcXPL0kIqt0b78PHjfuiorPt6u/bzvlxotfZqD+oJqmLhoRmRGnRPbw3NQXD481w8VGvVH+4Xp4npqEB1nW4NLgmSg36itTF9EsBQYCjx9bTgu2kAlvJEeStLzLOf7HqXOJKIZWylWqSBw8eDDs/6s+k1VQupdXr14dc+bMQWW54vmRtIIPGjRI3SQoNzQ1l87ChQtVy7UkWzMXbMEmIqsSHAxsb7YAqTwKo8zz7QiAM7yq/YIMTy+gFINrIopEpnJZUf7BOpwYuQV3HXMgc8g9lPu1PqaUW4YIM8KQmiZH2wrs7Azo5bo1azIndpky2v9Hcq5ORAls7NixKhC/c+dOjJ8bFBSESZMmYejQoWq6MHPBAJuIrIbkyShbFpi1Jg1c4Y+zbh54sPU8PPcMh0uKCBk6iYgMKDOiLtI8ugivsv1xBfkw8HgjSGLaOXO0sxBQ+PHXmTPLlDmwGB8bw7Bvn6lLQkSiXLlyCAwMDMseHhMybdfdu3fRtWtXmJNYdRGX/vJRkWZ9ScEu/fClWd9cMrpZmmfPnqnxBNIlQrblzJkzVaIAIgpPxkrO730RfdeUVyfAt1M2xPYO/6HW+C9hZ6+dT5GIKLqSpEkCz2N/4NzxUSjcLZG6eNf1xxCkG9kDReZ0R+4GBWHrLG38tY6Hh7SYMcAmIjMLsGWQ+fv371UAKGRycf1JvmXQe2hoqErLLsG2ZI5bu3YtkkjfHIo2SQyQIUMGtZ1lkL9k5rt+/bqaa5yItE799h/SD+uEtiF+GIsrqNEqncoQni5dDVMXjYgsXLGyiXD0KDBjBnD355n45vEsBDRcAK/qQ1Fx4wA4J3WGrbdgW1qALVM1ynRd0htVbrFoNCOySbdv3zbJ+3rFYTyHqcocq04927ZtQ6JEiTBy5EgVROtukopdsrtJH3jJBicB97Bhw7B9+3Z1T9H39u1bbNiwQWXRkwsTDRo0QJEiRbBx40ZTF43ILLy69QoH8nRAqcG1kCXkDvwdkmPDtPtYtkyCa1OXjoishQRjPXsCfbwa4ni6ekiEQDXs5Hba0vBefAK23oJtKQnOdGSaxtKltf9nKzYRmU2A3b17d9StWxfDhw8Pa70W0rIqAXbt2rXVOm5ubioIb9GihWrBjm5gqXsNeT1pAV+0aNFnn3fixAn1noUKFYKrqyuyZcumWnwlrXt8i2mZAwICMGDAAGTKlEldjJCxBzJ/mz5pqU6aNKnqGq4jAfalS5fi9bMQWYIjP69HYJ6CqHJjEUJhh33FeiLF/Yuo2L2kqYtGRFYqc4VsKPNoEw53X47ndmmQ98MF5GtfXo3V9n/uD1tjqS3Yum7iggE2EZlNgH306FEUK1Ys0sflscOHD4f9XaVKFTx58iRary2t4KNGjcLly5ejfI+I/vjjD6xbt06NUZ4yZQo6deqE/fv3o2TJkrh48SLiU0zLLOOqJeNd69atVVkdHBzUBQv9tPYStCdPnjzc8+RvWU5kqx4/CMHhLM1QYUJjpA99jJvO+XFp9kE1x3XSDElNXTwisnKS06HitJbAJW8ccm8FB4TC88R47M3RweaCNUttwdYPsJlJnOKDhpOsw9brLVYBdooUKdSE3pGRLuHSeh1VsBiZjBkz4tGjRypV+/jx46Ndpp9++kk9Z+rUqfj+++9VuvYDBw4gODgYv//+e5TPla7s69evj/TxFStW4N27d0Yps0y0LnPH/fbbb2pduRAgY9olc17//v3D1pPWaz8/v3DPlb9lOZGtkWOedP0uWMQBpx+kQxAc4VVpCDI/OYMinSuaunhEZGPSFEiLSreX4fjQf3HHIQcGvR2islN37y7nPLAJltyCLdPtSubzW7f+f6GAKK4ko7Xw97e9Hi3W4N27d6oXsq4eEzzJ2Q8//KBabJs0aYIuXbogd+7cavmNGzcwa9YsbN68OdyY661bt6J48eLRem0Z2y2JvWKqomStiCBPnjyqy7i0LEdFsnNLF+81a9bgm2++CffYggULVMA+Y8aMSFPAx6TM0lVeWqwlsNaRjOsdO3bE4MGDce/ePWTNmlWVXS5MPHjwAJllDgxAtcS3bds2Wu9DZC2enHuMwT8H4a+d2rO4lUV/w5eDf4Bn8+j3cCEiig9lf60P3951UGGwIy7M1SZDS7NiGr4eVgTFe3+cD8oKBQYCuo6JltiCLW0+JUtqp3aUngetW5u6RGQN5PxeGiGfPn2q/pYcShKwUcxakaVx1NHRMUG2ne79pBFTblJ/Uo8mCbAlGJUs4n/++Sf++eefcI9JoaQ1WdYRHz58UF2iixYtioQmG026pkuQHRUZDy0tyy1btsSWLVvCpsKSVu3OnTujTZs26kKCMZw5cwZ58+b9pEW/rEzeC+Ds2bMqwJaW6oYNG6rtOG3aNOzevRvnz59Xy4hsgSZUo8Y6FpzdA200xfC3424MHW6PgQOTwcmJwTURmQe31I5qjuymTYE/vz2NoY/7wLFPCPb91R2l/vvNKoevPHyo7Vnk7Cwzx8AiSTdxBthkbLoGN12QTTGP3WQmKnt7+wS9OCHxq/RI1u+BneABtnxgGfPct29fNX2UTPAtpJuzBKfp9FL4Sutsu3btYArLli1TLcDS2h4VuUqyatUqlaTs66+/Vp9JWo9btWqFOnXqYOHChUarZOlKLhUYkW7ZQ/nV0mtZl22XOnVqlexMysgpusgWPD3/GD61fkSlx9qs+RkS++H01hco5GmhZ3JEZPW+/BIoeyI3DtfoiKpX5sLjwnTczboFN8b/ZXWt2bru4dJ6bakNdBJgT5zIRGdkXBIvyDm9xEJBQUGmLo7FCf04zbPEPhJkJwSJAyXANmZAH6sAW0d2HglCzdGVK1fUPNIVKlSIVoAvFwL+/fdfVKtWTSUcCwwMVNm9V69erTa8sUjLv3QpN/T+usd1ZD5x6V4fXdKNXW4hISFGKi1RwjvcaxXyT+uKcpqXCIQTDlUfjsqbBsApSdzHxBARxafkWZKj6uU5OPV7E2QY2hHZgn2QrU817FvYA2V2/44kaZLAGujGLVvi+GudKlW0FwdksplHj6Shw9QlImsiAZsxuhrbYoDt5OSk4qKECrDjQ5xKvm/fPpWYq3nz5uom/5dlpvb48WPUq1dPNfPrxjxHh3TbnjBhAl6+fKlasCdPnqym0TImeT2Zpisi6Uqvezy25IKCt7e3mrKMyNK89PHF4WzNUXFqC6TSvMTlxCVwe81JVNs9lME1EVmUUgNrINnti9ifX5tvxeP8NPhkqYyjh0KsrgXbUqVIAejSA5nBqSsRWZFYBdjSutu4cWNUr15dBaQyh7Pc5P+yTJKfmapbhK+vr+rW/fr1a5XNXOaajq5bt26pqbPy58+vurvLZ5Qu3cakyzgekW5ZTMpLZC22bAFKVkiE5PcuIRgO8PIYgdzPjyFvk4TP3UBEZMzW7JOjt+ORfWbMCvgOlao6YMgQbZIwS2YNLdiC82ETkdkE2L/88otKbiZjsCUwlBZfuUnLcb9+/VRysM+Ne44P0gpcv359XLt2TWUyL1iwYLSfK5+jRo0aqluC7oKBpGuvWbOm+mzGItnUpXwRp+A6duxY2ONEtsLvvh9+6BCMr74C7jxxwbAcy3Bt8VF4eo1kqzURWYXSQ2rB5dYl+LbqitBQYOxYoEOh47i29jwslTW0YAsG2ERkNgH28uXL1bjmcePGIX369OHGZEvyM5lKaunSpYhPMsecjLN+/vy5+lvGHUs39SNHjqjptmTsdXTJPNi1atVS3cIlwZkkFJNpsnbs2KGmzZLu5lHNgx0T0rovZZ07d27YMukyLonUZMy3ZBAnsgVnp+yDX/aiSLtonBoH99NPwPJLxVCwbWlTF42IyKhSurth6TJ7rF0LuKd6g19vtED2pqXhVft3hARaXrdxa2nBlnHYQmZzZdJnIjKWWGXvktZeCQYjI4+tXLky1oWaPn266uKty6i9adMm3P94NO/Ro4caWy3TaklCMpnGauTIkao1XZKUSQu2tDj//fff4V5TptqKjGTrlkDay8tLBdY60posLeHSir148eJI58GObpl126Zp06YYNGiQSuEvc4jLa9++fVvNuU1k7QL8AnDki6GoenIi7KFBR6clqLOtH6p84WzqohERxavGjYEqBQPhU70ocj72geeOQTifZjNS/LsE2TxzwtJasC09wE6dGihSBLhwAdi/XxpBTF0iIrIKmljIlSuXpnnz5pE+Lo/JOrHl7u6ukaIZuvn4+Kh19u7dq/4eMWKE+tvDwyPS53zuYwYFBWkuXrwY6ePnzp3ThIaGxrnMOu/fv9f069dPkyFDBk2iRIk0ZcqU0Wzfvl1jLL6+vup95d7chISEaB49eqTuyfbq4Oqac5qrLkVk+lR125fve43fAz+NreH3wDywHkzPVusgNCRUc6DjQo0vkqljoR+Sava3X6CWm3sdBASEHcI1T59qLF6PHtrP0r27acthq98Fc8I6ML0QM66DmMRXseoiLt3DZfqqH3/8EVevXlVdniWtuvy/S5cuqot2+/btYx30S2uuTDRu6JY9e3a1jqenp/pbWq+FtD5H9hy5RUWm4SpUqFCkjxctWvSzc6NFp8w6knp+/PjxqieAjBuX1njpok5kraQLpNdXE+DetAzyfriAZ3ZpcWzwRlS9Mg/JMiUzdfGIiBKUnb0dKs9vD99953AueWUkw1tUWdQRxzN/g2d3/GHOHjzQ3suMo2nSwOLpxmF7eZm6JERkLWIVYA8ePFiNs5ZxxJJITAJGmdtZ/j9nzhz1mKxDRHTnDvBtZR+U3zIUiRCIYxkaABcuotyYBqYuGhGRSWWtmgOFn3nBq87vCIQTHj/WoHCZxNi8GWY//loSnH2m7cEiVK2qvb94EfiY1oeIKOHHYMu80osWLcJPP/2ErVu34o6cQQNqaqu6deuqFl8iouXLgS5dAD+/3EjrPBlNWjqh8l/fqdYbIiICHJwd4Ll1AK6uqoWJIzLh6VU71K8P9O74BmN+d0CSNElgTqxl/LVO2rSATDrj7Q0cOAB8842pS0RENhlg60ggzWCaiCLyvfMa5z17YsrtbvBDOUhS/55Lf0SuXKYuGRGRecrXvDj+awg1T/akSUDJBV3xaOlJBC1ajvwtS8AcW7CthXQTlwBbputigE1EJukiTkQUmXPTD+BNrmKocnspFqMdfhkeorKzMrgmIoqaiwswcSKwd9VT1LDfjVyBV5CzVTl41R2H0OBQmANra8EWnA+biBI8wLa3t1fdwmNyk8RhRGQ7gvyD4FV5KAr38ESWkLu445gTwXMXYvgvcjwwdemIiCyHZ7N0cL5yAUczfgNnBMFz2wCcS/slHh77GN2akLW2YItz54BXr0xdGiKydNE67R0+fPhns2gTke26s/sG3jRsDc93x9XfB3K3R/F9U+HODOFERLGSKk9qlLu/Dge++wslF/dEidd78bpCURzpMw8VJppuwmZrbMHOkEF7wUAuHly/DpQta+oSEZHVB9i6qbCIiPTJDHgbf7+MLwaXhTve4pVdSlzpPQdVJjU1ddGIiCyeJISU6btut66K29+0RqF3J5B9Ug90f1Ebf8xIClfXhC+TNbZgi0yZtJ/t4UNTl4SILB3HYBNRrLx+DbRqBXwzOD8OoArOunng/ZFzqMDgmojIqLLXyIO8Tw/Bq8JAtMdizFicFKVKAWfOJGw5AgKAJ0+srwVbF2CLR49MXRIisokAe8WKFdBIU1UMyXPkuURkXc7PPYpKRd9g5UqZts8O3sNWosjT3chUzsrOuIiIzIRTEid4Hv4NA/fURObMwNWrwMQyK7GvwcQES4Cma92VZGypU8MqA2y2YBNRggTYvXv3Rt68eTFu3Dj4+Ph8dv0bN25g7NixyJ07N/r06RPnQhKReQj+EAyv6qNQqHMl9LvXEzlyAIcOAf1GJVdzuRIRUfyqVk2bjKtD7UeYGdIJHpv64XSGOnh6/nGCjb+W7uHWlponY0btPQNsIkqQMdi3bt3C5MmTMXHiRAwaNAjZs2dHyZIlkSNHDqRMmVK1VL969UoF3ydPnsS9e/eQOnVq9OzZkwE2kZWQ7LXParaGp98B9XeeHME4ezIYyVMxRTgRUUKS1uMFWzLgQNsJKL2sN0q/+A/PihfFyVFLUHpo7Xgff21t3cMFW7CJyFiidWbs6uqKIUOGYMCAAdi0aRM2btyIw4cPY/369WFdxyXLeK5cueDh4YGGDRuifv36cHJyMlpBich0jg74B/nGd0QxzSu8QVKc/3EWKs9qY+piERHZdAK0qn93ws0WVRDctAXyfTiPtMPqwGtDX1T0GgvnpM7x2oJtbTgGm4iMJUZNTzK39TfffKNuIiQkBC9fvlT/T5UqlZr/moisx/uX73Gial9UvTRL/e2dpDRcN61Epeq5TF00IiICkOurAvjw6Bj2Vf0ZHhemw/PURFxKvx+Jjh9A7kKJjPpe1jhFlw67iBORWWQRl4A6bdq06sbgmsi6XLoE1Knkh3yX1qm/vcr8jNxPDsGdwTURkVlxSeECj/PTcGzQBry0S4Xt/lVQonwiLF1q3Pex1im69Fuwnz0DAgNNXRoismScpouIwpFRH/PmAWXKAPuupEf3FMtwcswOeB4fFy9dDomIyDjKjW2ID8fOY1uV3/D2LdC2LdC98SO8efjGKK9vzS3YMq5dN7JRNxUZEVFsMMAmojC+d31xxL0F/uu0Bu/fAzVrAtOvfInSg2uaumhERBQNmcpkxo69zhg1CnC2C0Kr9Y3xPHspXFkR90mzrbkF294eyJBB+392EyeiuGCATUTKpYXH4ZurBCreW4WZ6Io/R7/Dtm1A+vSmLhkREcWEjNobNgw4uPwusjvcQ46g68jRqjz2NZ4KTag2OW1MBQQAT59abwu2YCZxIjIGBthENi40OBRe9Sci73eVkC3YB/ccs+PJ/M3oPcRVXdEnIiLLVKZFLrhcPotjGRogEQLhsb4Xjmf+Gi+vv4jxaz14oL13cZHEtrBKzCRORMbA02ciG/b88jOcyvQVPDf3gxOCcSRLUyS/cQaFO5YzddGIiMgIUuVJjbIPNqjW6wA4o9zjf/GhQHGcm34g1uOv7exgldiCTUTGwACbyEYd3PwaQYWLo8yzbXgPF+xvPQfl76yCm3sKUxeNiIiMPGe2x9oeuPX3Efg45UGmkPsI7tEbY34NRUhI9F7Dmsdf63CqLiJKsHmw7969a5Q3y5Ytm1Feh4hiT06mJk50xaRJSTExtCnqO/+HkOWrULVxEVMXjYiI4lGB1iXxptop7PX4CV1u9MXV4fbYu0+DSZPskS6d7WYQ12EXcSJKsAA7e/bssItDfyCNRqOeHxLdy6REFC8en36IHt1DsfaItgnicrs/8MO4MXBN52rqohERUQJIlikZql2fh0GLga5dgd277bCy4nI0GloQpQfWtOkWbHYRJ6IEC7D37t1rlDcjItM5OXo7sg//Fj01+fFfkt2YPtsR336bCIDciIjIlrRrB5QtC4z56jB+vdUXdoM08No8GJV3jYSji6NNtmCzizgRJViA7eHhYZQ3I6KEF+QfhEPVhsLz+Dj1d9rEb7FzxTWU/qqgqYtGREQmVKAAMOdYMeyr2AHVry+A56ExOJd+H9L+txyZymU12IJtzQG2rgX7+XMgMBBwdjZ1iYjIEjHJGZEVe3D4Dq6mrxoWXO8r0g3Z7h9CtrJpTF00IiIyA4lTJUbB/aNxqMdy+CEZivkdhEuF4jgxcovBFmxr7iKeOjXg5KT9/+PHpi4NEdlEgD137lwUKFAALi4uyJw5M/r06YOAgID4Kx0RxdrxIRuRpHIJFH57FL5ww5F+a+FxfjpcUriYumhERGRmKkxujle7z8A7SSmk0rxEmV++wq7yQxEUBHz4ADx7Zv0t2JJuiN3EiSjBAuwNGzbgxx9/xP3791G0aFGEhoZi6tSpahkRmQ/p1ta3VzBcxg5DSs0rXHItA799Z1BhfGNTF42IiMyYe/VcyPXoEPYV66n+XnMsK6pUAQ4f1j6eODGQMiWsGhOdEVGCBdiTJk1Crly5cOPGDRw/fhz37t1Ds2bNsGzZMvj5+cW5IEQUdz4+QOXKwKSpjmiOVdhTuj/yPD6IrFVzmLpoRERkARIlTwSPs1Ow74+jWO3WCceOAbVqAcngp1qv4zCpjEXgVF1ElGAB9tWrV9G5c2ekT59e/e3o6IhBgwYhODgYly9fjnNBiChujvy8DnMKTsGJE9oWhnH/FkD1E3/AOSmztBARUcx49C+HM2ftUK4ckDT4Fc6hGL5zWAxrxy7iRJQgWcTFs2fPkEl3We8jGYct/P3941wQIoqdD68/4FjVfvC4MANl4ICnRSph5ObSyJbN1CUjIiJLlj07cOAAsK/qROQ4ehuNQ1bJBF+wZuwiTkQJmuTMztr7BZkhubBRr149uLq6Il++fNi9e7epi0Rm5M7uG/DJVFEF1+JAuX6Yc7QYg2siIjIKyar95bCK6v+5k1h/v2l2ESeiBGvBFhMmTMCKFSvC/g6S1JIAhgwZgjRp0nwSjG/cuDHOBbR13bp1Q4YMGVSgvWvXLjXu/fr160iVKpWpi0YmdrjXKhSe+gPc8QbP7dLAZ+QSVBtex9TFIiIia+03bQNzV7EFm4gSLMDOli0bXr58qW763N3d8ejRI3XTx9buuHv79q3K3n7r1i0kSZIEDRo0QJEiRdSFiw4dOpi6eGQi798Dh8v2xhcXp6i/zyWvgrS7VqBMGe2QDSIiIqPKkEF7//QpEBICODjAWnEMNhElWBfx27dvw8fHJ9o3CQpjG1SOGDECtWvXVq20EqgvWrQo3p8bVzF9b5k/fMCAAWpce+LEiVGuXDns3Lkz3DrSUp00aVJkyZIlbJkE2JcuXYrXz0Lm6+pVoHx5YN3FvAiFHbwqDUGhJ3uQicE1ERHFl3TpAHt7IDT0/xNiW3kL9osXcq5m6tIQkdWPwU4Iz58/x6hRo1Rm8mLFiiXYc+Mqpu/dvn17NfVZ69atMWXKFDg4OKBu3bo4ePBguKA9efLk4Z4nf8tysj2r57xCqVLA+fPA2jRdcGzGKXgeHA1HlxiN9CAiIooZabFOm9YmuonLCDxnZ5v4qEQUT2J1Zv7mzRsVCN68eVP9P1myZMidOzcqV66sWlzjImPGjKq7uYw7PnnyJMqUKZMgz3316hX27t2LRo0aGXxcxp5LF21JNhbX95Z5xFeuXInx48ejX79+alnbtm1RuHBh9O/fH4cPH1bLZFtGnGNc/o7rNibL4v/cHycr9UTpa3vgiNPw9EyB5cvtkDFjCVMXjYiIbIX0nZYxSr6+sGYywlE+6p072m7i7u6mLhERWXULdkhIiJr7Wro1f/XVV+jZs6dKcCb3kulagsyhQ4ciVLoQxVKiRIlUkJrQz505c6ZKIPbPP/988tiCBQvQqlUrLF682CjvvXbtWtVi3alTp7BlLi4u6NixI44cOYJ79+6pZXny5FGt1Q8ePAhb7+LFiyhUqFAMPx1Zqhv/euNBlrKoem0BsuM25jbdhV27/j9GjIiIKEEcO6YNrj08YO2YSZyIEqwFW7ozr169GgULFkTLli1Vi6u0pkoQeOHCBSxfvhy//fabGq/9999/w5LIeGhpWZbPtWXLFnzxxRdq+fr169G5c2e0adMGXbp0Mcp7nTlzBnnz5v2k+3fZsmXV/dmzZ5E1a1a1bRs2bKjGdk+bNk1N0XX+/Hm1jKybJlSDQ50Wo8SCbnCFP57YZ8DDccvQrG91UxeNiIhska7ftA1gJnEiSpAAW6aIkuBapo2SMcP2kuxCjwR9gwcPRo8ePTB79mx89913qF7dcoIBR0dHrFq1SiUp+/rrr9XnlQsH0nJdp04dLFy40GiZ0aUrubT2R6Rb9lDviC4t6+3atUPq1KlVsjMpI6fosm5vH7/F2UpdUfnWUvX3qVRfItu+v1GicHpTF42IiMjqMZM4ESVIF/ElS5YgV65cmDp16ifBddiL2durltacOXNG2Z3aXEk37X///Ve1LkvCMQm0Jbu3XFiQANxY3r9/r7qUG3p/3eM6adOmxdatW+Hv749r167hyy+/jPR1Z8yYoXoXxGTsOZmXc+eAjQUGqOA6BPbw+uJXFH+8A2kZXBMRkSnt3g3UrStd/mDt2IJNRAkSYEv3aUkA9rlWXAmyZb1jMlbHAkm37QkTJqj5vqUFe/LkyWoaLWOS15NpuiL68OFD2OOxIb0LvL29ceLEiTiXkRKWRgPMmQOUKwf0ev0LTjuVw8VpXvDcNRQOTmaX7J+IiGzNq1fAtm3Ax0Ss1oxjsIkoLuxj0q1ZMoVHh6wn61simb9bxprnz58f7u7uaNy4sdE/iy7jeES6ZZJEjmyH711fzC8zBz/+qJ1zs1zdNMj24AiKda9i6qIRERFp6RK52sDcVewiTkQJEmBLa25kU1RFlCRJEoucq1kC3Bo1asDJyQk7d+5Ut3fv3qFmzZqqRdtYihcvrrp7R5yCS9fqL4+TbfBechKvc5XED6d+RHv7JZgwAdi0CUiT1jjj/YmIiIwaYFtoA0pMsIs4ESVIgK3RaIyW5MsYZEzylStX8Pz5c6O8nsyDXatWLXVhQBKcSUIxmSZrx44datosmYZMgm1jaNKkiZrybO7cuWHLpMu4JFKTMd+SQZysP0u419d/Ine7inAPvoX7Du7oOzcf+vaVYRamLh0REVEkAbacC1lgI0psAmxpWzEwoo+IKEoxytw1cOBANQ3X5/jKPIlxMH36dLx+/Tosm/amTZtw//599X/JUu7m5qbGhFerVk1NYTVy5MgYPdcQydYtgbSXl5cKrHWkNXnz5s2qFVsSt3Xt2jVO5RYSRDdt2lTNKf706VPVpV5eW6Y3kzm3ybq9vP4CNyq3h+fTzervo5kaIf/B+ciSI6Wpi0ZERGRY0qTamwTX0oqtd65kbVKmBCQXrQTX8lGzZzd1iYjIkthppGk6Gjw9PWPcgr13795YFSp79uy4c+eOwcd8fHzU4xIIGwqwo/NcQ4KDg3H16lUUKlTI4OMy/3SRIkWi3AYxeW9JaDZs2DA1X7i0nhctWhS//vqrakWPK+l6LsG8XOiIONe2qYWGhqqLCunSpYs0G701OzfzENL2bIFMIffxAYlwrPkkVF3eBXb2Cdc7xNbrwBywDswD68H0WAcWVgcSVN+4AezfD1Sx7jwhOXIAt28Dhw4BFSvG//vxu2B6rAPTCzXjOohJfBXtFmwJaBOKtORGJ+A3dG0gOs81RKbhiiy4FhIAf05M3lum5Bo/fry6kfULCQHGjgUOj3iLbZr78HHKi8Clq+DRnOPtiYjIgrJ/PXsGvHkDayfdxOW0zgaGnBORkRlvcmciMujhvRC0aecAbYeOWpjmsQYdVtZG0gxJTV00IiKimM2F7eQEW8BEZ0QUW+bV9k5kZY6P3IoP2fPj9t5bkCT8ixYBPbyaMLgmIiLLYyPBteBUXUQUW2zBJooHAW8CccRzEDxPT1J/T0o1GgUO/4V8+UxdMiIiIopuCza7iBNRTLEFm8jI7uy+gZsZKoYF1/uK9USdWzMZXBMRkWU7eBCoUwfo3h3Wjl3EiSi2GGATGdGhLn8j1ZclUND/FF7apcKxwRvhcXYKErm5mLpoREREcSNTdG3frg20rRy7iBNRvAbYjRo1woEDB8L+3r9/P55JFkkiUvz8gJmVl6PS7G+RDG9x1q0qAo6dQ7kxDUxdNCIiIuPIkMFm+k2zBZuI4jXA3rhxI+7evRv2t8w/vXPnzli/KZE1OX4cKFEC6HOoMY6jDLw8R6LI0z3IWCaLqYtGRERk/GZdaWQJDoYtBNivXgEfPpi6NERkdQF25syZcebMmbC/Zf5pOzu7+CwXkdkLDQ7F5qaLUbViMG7dAjJkS4Rgr0Pw3DsCDs4Opi4eERGRcaVJA9jby4kg8PQprFmKFECiRDbTYE9ECZ1FvEWLFpgwYQJWr16NFHLEATBw4ED89ttvkT5HAvBz584Zr6REZuTx6Yd4+GVbfPVqNwbjJi41G4U5c+QH2XamMCEiIhvj4ACkT6+NOB8//n8zrxWSdiT5eD4+2m7iOXKYukREZFUBtgTSuXPnxt69e/H06VMVPLu6uiJ16tTxX0IiMyOJy3L/3hElNS/wDklQrX12DPtL+2NMRERk9eOwJcC2gWZdXYBtAx+ViBI6wHZwcECnTp3UTdjb22Po0KFo1aqVMctCZNb8n/vjZNWfUPXyHPX3lcTF4bxuJarU4fxbRERkQ+OwJer094e1Y6IzIoq3ADsiHx8fpE2bNlZvSGSJvFddgEvbpqgaeFX97VW6HyrsHo1EyT8O0CIiIrIF//6r7SpuAzhVFxElWIDt7u4eFmhv27YNd+7cCVtep04d5OBAFbISoaHAxInAksFOOBZ8F4/sM+HRb4vh2f9LUxeNiIgo4dlIcK3fgs0u4kQU7wG26Nu3L6ZMmYJQiUD0SPfx3r17q6RoRJbswbV3aNfVFbt3y1/5Ma7iBvRcVAol8zD3ABERkbVjF3EiirdpuiKaOHEi/vzzTzRq1AhHjhzB69ev1U3+36RJE/WY3Igs1eHeq5Eof3YE7D6AJEmAuXOBEQdrIhWDayIismUnTwJ16gAdOsDasYs4ESVYC/a8efPQoEEDNW2XvnLlymHlypX48OED5syZgz59+sSqUESm8vqOLy56dkfl23+rv0emnIIsR6ogH/OYERERAQEBwPbtQM6csHbsIk5ECdaCffv2bdSqVSvSx+UxWYfIkpyZvA9vcxVVwXUI7LG38jBUvb+CwTUREVHEZl2JOjUa2EKA/eoV8P69qUtDRFYdYKdLlw7nzp2L9HF5jFnGyVIE+AXAq2x/FOtTDVlC7uKOY054zz6AagdGwSmJk6mLR0REZF7zYAuJON+8gTVzcwNcXLT/Zys2EcVrgN20aVPMnz8fv//+O969exe2XP7/xx9/qMeaN28em5cmSlBynWhwkU3wPDEe9tDgQN6OSHXnLIp0rmjqohEREZkfSUySPLlNRJ12duwmTkQJNAb7119/xdmzZzF48GAMHz4cmT4efR4+fIjg4GBUq1YNo0aNis1LEyWI4GBg/HhgxAggKKgxSiTqiDx9vkKV3742ddGIiIjMvxXbzw94/BjWPo5KTnFv3WKiMyKK5wA7SZIk2L17NzZu3BhuHuzatWujbt26qF+/Puzksh+RGbq98zp8WgzEuJfzEYSUaNjQDjXmzEf69KYuGRERkYWMw752zSaadbNk0d4fOCA9OE1dGiKy6nmwRcOGDdWNyBJoQjXY32oWSq/6Gdnhj8lOqSQlPtq21XYDIyIiomi2YKdIAXz4AGvXvj2wciUwaxbQpQtQoICpS0REVh1gE1mKB0fu4vFX38Pj5U719+mUX+DLLcOQuYKpS0ZERGRhli0DHBxgC2TSnPr1gU2bgN69tTOU8aI8ERk9yRmRRbVat52HZBULo9TLnfBHYuxrPBXFn/6HzBWymbp4RERElsdGgmudSZMAZ2fgv/+0gTYRUVQYYJPVunsXmJ9/Aqou7YTkeIPzySrh6X/n4LG2B+wduesTERHR5+XODfTtq/1/nz420TOeiOKAUQZZHY0GmD8fKFwYGHC9I27Z5YRXg4ko9HwfstfIY+riERERWbaLFyWzrU1l/Ro8+P8ZxaVFm4goMgywyarcP3QHS/KOxg8/aPDmDZC/QioEnbsMz40/wcHZtrq0ERERxYvQUGDHDsDLC7YiaVJg3Djt/8eMAe7fN3WJiMhqA+xHjx7h3LlzePfunXFKRBQLocGh2NdsBtwqF0a7G8PQwelvTJignVYjXxFnUxePiIjIuqbpEs+fA0FBsBWtWgEVKwL+/sCAAaYuDRFZXYAtc2Dnz58fWbJkQcmSJXHs2DG1/Pnz5yhRogQ2bNhgzHISRerWtqu4kNoDHmu6Ixne4lzyyhi6sawaL2VjeViIiIjiX+rUgOPHiWiePIGtkOzh06Zp75cvBw4eNHWJiMhqAuxNmzahUaNGSJMmDUaMGAGNDHr9SJZlzpwZCxcuNGY5iT4R5B8Er9q/I1PdYijmdxBvkBT7ms9AkRf7kLNOPlMXj4iIyDrZ2wPp02v///gxbEnJksD332v/37MnEBJi6hIRkVUE2KNGjULVqlVx8OBBdOvW7ZPHK1SogDNnzhijfEQGnToFeGVuBc8dg+CCAJxIUxt+hy/BY2VXZggnIiKKbxkyaO8fPYKtGTMyCN8mWYv+Z1pgQ8tVakg6EZFOrCKRixcvolmzZpE+nj59ejx9+jQ2L00UpbdvtVNklC0LjHndDS/sUuNg5yUo/WQr57UmIiJK6HHYttSCfe8eMGwY0pbKhiX+TdECq7BmjQYeHsDly6YuHBGZi48DaGImSZIkUSY1u3XrFlLL+BwiIzo+fDPWzHiKyS+/U39naumJkNG3UTlnUlMXjYiIyPYC7JQprT/JmQyD/O8/YOZMYPNmbQZ1WZwhAy6518PmC83x7iBQrBjwZ/tz6DguH1xSuJi61ERkaS3Y1apVw+LFixEcHPzJY48fP8a8efNQs2ZNY5SPCI9PP8SRLE1R9tf6GPmyBypnuY1t27QJRtIxuCYiIkp4s2cDL18CXbvCqv36q3bO73//1QbX1aoBq1fD7u5dFD46H96X7fDVV0DSoJdoMq8mHqUrhjOT9pq61ERkaQH2mDFjcP/+fZQpUwZz5syBnZ0dduzYgaFDh6JIkSIq6ZkkP6PYefbsGerVqwdXV1fky5cPu3fvhi0KCQxRU28lLlUAFR6sRTAccKJsN+w4nVb91hEREZEJE53Zgp9+AiSv0M8/a/uB79kDNG0KODmph7Nl08bea3+/CY29A3IEXUOJvtVxMHd7PLvE4ZJEtihWR0cJ+iTBmXQDHzZsmAqox48fj7Fjx6oA+8CBA8iePbvxS2sjJHFchgwZVKAt21XGu7+Uq8Q25NKCo7ieooyaessNfrjkWgY3V56E57FxSJLW1dTFIyIiIluQNClQvDgwbhyQP7/BVWTaruoDyiCxz2XsK9wVobBD5ZuL4VQkH/a3nKUaDIjIdsT68mOhQoWwa9cuNe+1zIF95MgRPHnyBHv27EGBAgWMW0ob8vbtWzWH+C+//KLGujdo0EBdtJB5x23BixdA32+fItf3nsj//gxeIwX2NZ2O/C+PIF/z4qYuHhEREYmbN4FatYA6dUxdErPhls0NHhdmwHv+EVxOXAIpNK9RdWVXXElZAScPfjB18YgogcS5f0/KlClVV/Fy5cohbdq0sMWAWLrD165dG6lSpVLd5RctWmRw3YCAAAwYMACZMmVC4sSJ1TbbuXNnuHWuX7+OpEmTIkuWLGHLJMC+dOkSrFloiAbz50vvCGDS3+kwEX1xMFc7BF28Co/V3eDg7GDqIhIREZF+F3FJ/rV3rzYRmDV6/Rro3FnGRsboMxbuWA55X5/AvibT4As3HPUvgrJVXfDjj9ph60Rk3WKVRXzJkiXRWq9t27awdtKCL/OCZ8uWDcWKFYOXl1ek67Zv3x5r165F7969kSdPHhWI161bF3v37kXlypXDAvbkyZOHe578/UKadq3UpYXHEdKzD2a9nYoXKIUiRYCq00ejclU7UxeNiIiIopoHOyAA8PUFUqSA1fHxAebOlflngSFDYvRUaRiQYW7PLjbFqV8doVkNzJkDnF59AxPq7kGlvzqy8YDISsUqwJZAMTLSgmtLAXbGjBnx6NEjNWb65MmTqjXfkOPHj2PlypVqTHW/fv3Ctk/hwoXRv39/HD58WC2T1ms/P79wz5W/Zbm1eXruEa42GYwqN7Qt/hMcBuDs+F3o3l1yhzC4JiIiMluJEwNubtrg+tEj6wyw797V3mfNGuuXSFs4PWauAlp00yZcH3rpJ1RdtglX1s9CwLipKNa9ivHKS0SW20Xcx8fnk9uNGzfUmOxvvvkGpUqVwsWLF2ELEiVKpILrz5GWawcHB3Tq1ClsmYuLCzp27KjGr9+7d08tk5ZtacV+8OBB2HqyLWXMu7UI8AvA/q/GI3HxvGHBtXQHL3hyKfr0CUvMSUREROY+F7Z4/BhW6eO5mUoVHkdVqwJnTmvg1uhLvLZLgfzvz6JYj6o4nK0FHh77+D5EZLsBtru7+ye3nDlzonr16iqQlLHY06dPN35pLdiZM2eQN2/eT7p/ly1bVt2fPXtW3UtLdcOGDdW47vfv32Pz5s04f/68WhZTgYGBKsO7TkhIiFoWcf5yWRYf6wYFBanloTJvJLTDl478sg0BBb9ApW0DkQxvcdG1LC7OP4pyl+chZcHUYesK+b88X14nqtc11rpSflkunyc268o20W2f+FrX0HaPybqmqvuYrpvQdR/X/SQh6j4m65qy7uO6n1ha3ZvbfsJjhOnXtaljxMcGhsB796zzGHH3LuSvwMyZjXKMcHK2g8e6ngi+dA178v8ASXtW7t4qpCifD/u++BX+z9/xGBFFHZntfsJjhNHWveX9AcuWOZjtMSJeu4h/zldffaWm75oxY0Z8vLxFkm7k0p08It2yhw8fhi2bOXMm2rVrp6ZBk2Rnq1atUgnUIiPJ0+Smo+tiPmHCBAwZMkTNpy1k+jQZ712iRAmVnVxn3Lhxakfq1asXUnzs4iWZ4WVuc+nC3rhx47B1//zzT/j7+6NLly5Ily6dWnb69Gl1IUCmb2vRokXYunKR5fXr1/j++++ROXNmTJsG7B91DEVwE6nt3FC842RUmNEG9o726jPLtGTyuXVTvF25ckV9dtkG0tKvs2DBArU9W7ZsqS5aiJs3b+Lvv/9G+vTp8aNkEflo6dKluHPnDpo0aRLWC+Du3btYuHCh2qY9evQIW3fFihWqJ4ZczCguU3Koi/KP1VzvyZIlw08yF+ZHciHp8uXLqFOnTthFEhknL59ZeiZIMjudf//9F+fOncOXX36JSpUqhdWRbEt7e3v1XdHZtm2bGmrg4eEBT09PtezDhw/4448/1P9lrnnpCSEkQZ70fqhQoQJq1qwZdgCSeeqFlEHKIvbt26dupUuXVmWWg5YcKH777Td136dPn7CLPzJcQXqjSE6Br7/+OqxsEydOVGXp3r272jfFiRMnVJll5gCZTk5nypQpePPmDTp37hzWw0O2gWTDz507N1q3bh22rtS9TEPXoUMHlctASFI/2cZy8U5/SMq8efPUbAVt2rRBrly51LJr166pupPvkn4PEclxcP/+fTRv3hz5P06tcvv2bSxevFhdBOwqffU+WrZsmeqJIz1wihYtqpZJL5L58+er74R8N3RWr16Nq1evquOc9NYRT58+xaxZs1Tm/59lrtSP/vnnH9UDpVatWihfvrxaJt+JyZMnqwP36NGjw9aV75BciKtWrRqqSlMHgHfv3qnvsZCLbjr//fef+o5K7oYvvvhCLZPXk/oUgwYNgrOzs/q/zOwg0ypKUkVJxqij209kyIq5HCOEXFCU7ZYjR45ww4zke2jsY4Ts++vWrVP7X9OmTXmM+HiMqFevXtj7xfcx4ocfflDllfeQuucxQnuMkO3j5OSEwYMHx/sxQr7z8l2WRhLZX2NyjLDLkAEyoGvcihUIunnT6o4RdnfuYJn03LxyBU0uXTLaMSJVvtR4OqI6+q6xQ4Udx9Hm3VlU8xqJvhUccKN6IMqVS4yBA3mMSOjzCHkfKa8ukOIxIuHOI6oXr4aLzUfD/cwGDLHriJs3gzB8eFezOkZI/Zo0wJaDlH7AR1Ct0dKdPCLdgUse15Ev7datW6P92vJlkGm9IpIvlexIci9evXql/u/r66u+yDrSJV2uCMm6uitcUa0rZZXkbjpyUJN15WCvv64cGGW5rCsHgS++sMMot4awS3oQZTvVRp5OtfH85fNw68oJqBxchPxflsljhl5XHtct/9y6UkbdcimPLJMy6a8r5Y9sXcktYGhd2U665brtINtSf13ZhhHX1ZVLfhgNrSsHC91y+THS1aEs0/0wyjoR15UfRv11dfuXbl1dfcq9BNmyTH5IpO7lfT5X9/K9lnV1Vzx160ase1lXV/fyGaO7n+jKq1s3qrqXk5XY7ifyPtGte9ne0V1XtuXn6l63TLef6LaPoXXlJFS/PnUM1b18d/XX1f0wGlpX6NY1p2NEdNY15jFC6ku3jXmMCH+M0N9P4vsYIb+NcjziMSL8McLR0fGz6xrjGCGvJ3Ubm2NEMjc3JE6ZEgEfPuD9x3MOazpGpPp4Qv3BxSVejhGJcyRDqlVjsGvDYyRdsgjT33ZA4L/zcOxYKApmvovytbT7u60fIxLyPEI+pxyP5D15jIj/8whf33dYs+YD3FvWh0fIUbXcI9VZfPiQw+yOEfK60WWn0W9/j6b9+/cbXC4bXh6bOnWqugIkV2hsiS7JmVzVjJgITq7OyFXR3bt3h1vu7e2trojOnj1bXaWLDUMt2FmzZlVX6OQKoS7xnBzM5CYHDflS6uh2dNkxjbmuXKmS3UuW6Q6Ofn7B8PV9pK5I6V9wMLSuHGTkyyjvo/vSxOe6skwekwOh7scnJuvK++i6mOgOSsZe19B2j8m6sg3kJgc4uZCj62qTEHUfk3UTuu7jup/EtD51JxhytVX3fvG9nyTU9z6u+0lC1qcsk95DadKkUduXx4iEr3tZLicwcjySv81xP4npuqaq+9juJ7JMWlnlHEX/NaJVn3IKaWdntccIO3d3BN+/j5D9++FYoUK8HiP8/aVX2TtMn+6Ct34hOIeyeJ/WHSnm/QH3Onlt9hiRkOcRslxiGTkeyWM8RsRf3WtCNVi9MgiDh9nh9m0HNMRmjHMZjteDf0f6toVUHUicYE7HCNk3JK6SiwcRh/waJcCWN9LPFq4jLyWVJF3tpk2bFtb9w1ZEFWDXqFFDdRWRgFqfBNzS5Ue6/9SvX98o5ZAA283NLVo7QELTXZmTAFu3w1LCYh2YHuvAPLAeTI91YHqsgyi8fatNdCbdSSVregLUg719OizrfhTd13jACcEIgT0O5e+IPEuGI2OZLPFaBlvH70LCODvZC45DB2Luu1aYhp4qV+LoXzVo920o7BztzLYOYhJfxaqLuPStj0gC7pQpU6qxDuYW1JkDGYsj200qR3/7yPgD3eNEREREZCZkitQCBRL0LdOkAfqsrojb/13C4w4DUf7hP6h6ZR4+lF0Cr1LdUGTZIKTOlyZBy0RkDN5LTuJ9n8Eo9XKn+ruv3WOkG94VfX52hKurNNxq83FYg1hdGpDECRFvMpi+SJEiDK4jIUm2pGvD3Llzw5ZJN1Fp7ZakAdKlm4iIiMhiyJSiNWoAFStqu4uT0WSvmRflH6zH+ZkHcdatKlwQAM9Tk+CUPyem9rqJN29MXUKi6Lm5+TKOZG6Cgu3KqOA6EE7YV6QbEp89iqEjJbiG1YmXJGe2RpfBTpcJfNOmTSrroJDsktKdQIJo6TovWfmk64NkQJQshJKNUDLVEREREVkUaW49cEBaDCTDLZA7N6yGl5ekBQeqVAHatDFZMYp2qQRNZy+cHLsDrmMH48X7JOg1NSd+XQ4MHAh06RyKJEnNqystkbh1CzjUagZaHeuJXAhFKOxwJGcbZFv4Czyq5oA1i1aALWnODY25joqsL9nEbYGkv5epoHTWr1+vbkKmAZAAWyxZskRNpSBTR0nmPEnjLynndan0iYiIiCyGJCstXRo4dAg4eNC6AmwZwie9DmWWFxMG2MLO3g6lh9ZG6MCa2LT4BfKOs8O1a8Dofq/w9YByuFe7E8r81QWu6aywKZAszs0bGowZa4clS4ACIVXRCsDRjF8jzazRqNRQO9WdtYtWgC1dwGMaYNsSaYWODknpP378eHUjIiIisniVK/8/wI6Q4NWi3b2rvTejIXz2jvZo2DEt6rUDFi8Gnv48H7leXUeuLT/jWYZxOFHnZ5RZ2JWBNpnEnd03cLfzGFy65YKFmllqWaaaRXCh0zWUb6ydc9xWRCvAlonWiYiIiIg+CbD/+EMbZFsTyR4usmWDuZFZijp2BIJa9saBbqmR7e8xcA++Bc+t/fFcAu1a/VByXhckz8K8SBT/bm27iofdx6DCrWVwRyjKwxH7q41Az7EZUL68rGFbwbXgoA0iIiIiih1JcCauXAGePYPVtWCbYYCt45TECVUWfodMvldwsONC3HHMhTSa5/DcPhAB2XJjeD9/PH5s6lKStbq44BiOZmqE7HULoPKtpZIDHCfS1sW1vw5h+R5dcG2b4pTkTCbhvnLlipoPzFBadY4tJiIiIrJiqVIBBQsC3t7A4cNAw4awCmbYRTyqQLvy/PYInt4GB3suQ6bFv2FfYAX8OjEJxk3X9twf0PYRclTMaOqikoWTyQK2bwfO9VmEgVc7hC0/lqEBkv0+FGXalTFp+Sw6wJZgWrJhz5w5E/7+/pGuJ9NSEREREZEV++ILIGVKwMkJVuHtW+DVK7NvwY7I0cURlee2Q+jMb+G9+i3KTwOOHgUOzbmArHNK4HCWRkg+si8Kdyxn6qKShQl8G4gt8x9h5EJ3nD8PpEQDdEJKXMrdEBkn/oxyDQqauoiW30V87NixKlGXZMiWzNgajQa///47Zs+erTJjFytWDDt27DB+aYmIiIjIvEydqk1yVrcurMLHqVaRPLn2ZmEkGdpXrZKrDgX79gG98v8HR4Sg4v01KPx9eVxMWg6Hui1XQRNRVJ5dfAKv6qPwys0d6fu0VMF10qRAh59S4f3Ve6hyfSFyM7g2ToAtSc+aNWuGWbNmoXbt2mpZqVKl8MMPP+DYsWMq4/iePXti89JERERERKaTPz/w5g1w+jQsmUwAJKM1v7/cF9fWnsfBXO0QAGcUfncclWa2xku37Nj7xWg89Xln6qKSmbn89ym1vyQvkg2ee0cgfehj5LS/jUkDn6rRExMnApnzMlu9UQPs+/fvo3r16ur/iWQORAAfPnxQ987OzqplW+Z6JiIiIiIb4ev7/67Vlk6a6XJZT/bjvI2LoPKNRfC7cFe1SD6xz4AMoY+Qf88M5MznhLZttZ0QZIwt2SaZ8n3XoN04n7wyCnxbGpVvLUEiBOJC0vI43GMFUvndQZ/f0qnRIBQPAXbq1KnxVsanqONPUiRPnhy3bt0Kt84raznAEhEREVHU+vXTjsOePdvUJaEopC2cHp67hyGl7x0c6roM83L8hndBzpB2MY8qITicrCb2fTMZL6+/MHVRKYFcPBeCXr2ATJmAWb+/RtE3hxAIJxzK3hqX/jqGIm+OoOLUFnB2tZIcC+aa5KxEiRI4ceJE2N/VqlXD5MmT1XJJgDZ16lQ1DpuIiIiIbIBk25bmT2kGtXR//qmddkyadStVgjVyTuqMSjNaQT5drWPA3LnAq2XbUendTmDDTnzYMBCH3BvDtfcPKNq9qhrXTdbj3dN3ODN4DdxWzcXqt3UwFcPU8nPZGmB3gT9Q+PdvUak4s87HVqy+LZ06dUJAQIC6iTFjxuD169dqWi4PDw/4+flhonTOJyIiIiLrV7my9l4yaxmYutWibN6sjThv34YtKFcOWLAAWHitMva3mIkriYvDBQGodGc5ivephocuOeBVaTCu7/2Y/I0sUvCHYJwcswMHc34LTfr0qLygA4q8PYJ2WIzGjTRq+q1rPk74Ynt/pGdwnfAt2A0aNFA3nYIFC+LmzZvw8vKCg4MDKlasiFQyLyIRERERWT/puejqCrx+rZ0Tu3BhWCwLmgPbmNyyuaHqii7QhP4I779P4flvc1HsyipkCbmLLId/Q8nqTWBfKgvatAFattAgfQY7UxeZPkM6lZw5AzzrNhLFj89B6dDHYY/ddsqN29U7ouC49lhblHVp8gBbpuWSTOH63Nzc0LBhQ2OVi4iIiIgshaMjUL48sHu3tpu4pQbYEpHcu2dxc2Abk529HQq2LQ20LY33L6fg8K+b8PofL1y4XwLBp4BTp4CkfTqhVIqb8KvRGPkGfoMMJTOZutj0kSZUg8srz2H5xaJYu94eV68C83AftfAYL+xS42LhFkjd61sU6lAW2e0ZWJtNF/HMmTOjV69eOCzdgIiIiIiIdN3ELXkc9rNngAyBlIakzJlh6xKnSoyKfzZD3dsz8fCRHaZNA6qU+YBmWIUSr/fCY013pCuVRWWe9vr6T9w/dMfURbZJocGhuDDnMLxK98P9RDlRsHUJ7PzthAquZcKnyzV74fjQf5HszSN4nJ+Owh3LqQspZEYBtoyz/uuvv1ClShVky5YN/fr1w/Hjx41fOiIiIiKyrAD70CFYfPfwjBkBJ2ZN1pc2LdC9O7D/uAte7z0Lr3rj1RRO9tCozNOeG39ClsrZsSlVWwweDBw4AAQHm7rU1uv1vTc48tMaHMj7HZ4myoIiP1aC56mJyBp8G++QBG1KX8Hy5cDTp8DEHUVQ9tf6zARuzl3EV6xYgffv32Pz5s1YtWoVZs2ahT///BPZs2dH8+bN0axZMxQvXtz4pSUiIiIi882WJQN0JfO2JDqzt7fcANtGu4dHVzbPnMjm2U/mZ8OjE/dx7Y9/4LZrHYr4HsCpVznx229Qt6xufliZ7AeE1KiNPN1rsSt5HFupLx73x5Z9SbFtGxB66CIOhjYLe9wXyXHR/Ss4NGuMov1ro0eaJCYtry2LVYAtEidOjKZNm6rbu3fv8O+//6pgWwLtP/74A3ny5MEVmeKAiIiIiKxfsmRQEypbskePbDLBWVxkLJMFGdf2ANADzy8/Q6E9GrQ6DOzYAZR+sQsVfVcDC+UG+Djlwb2cHnCo5oEc7T2QqRy3c2RCAkNwfd15PFm9D4mO7UPex/txVNMYgzFXPW6PsjiTuAL8CpRHsuZ1UejHKqiUPJGpi02Sx0AjGcuM5O3bt1i0aBGGDBmi/h8SEmKsl6YYkGnSJOmcr68vkidPDnMi86Q/ffoU6dKlg70lXtm2AqwD02MdmAfWg+mxDkyPdWDA27fA+/faPtEJxBrrQcKAC+uu4fX0v5Hu1Dbk8z8NB4Sfwq13umXwrdsKZcsC5Yu8Q6HiTmqOblMwdR1IAv6TJzSwnzQermcOIt/TA0iheR1unat2+dGv3mXUrQvUqQNkzw6rEmrG34OYxFexbsHW8ff3V63Xq1evxvbt29Xc2Lly5ULPnj3j+tJEREREZEmka/ilS9qpupo3h0VKmlR7ozhxcACKN8sLNBsFYBR87/ri2l8H8W6LF9Je3of8705h09NyuLUIWLQI+AmzMQZDcNG1GF7kLAOHcmWQpnpRuNfKr5KtWZMXV5/j3vZL8N17Gs9v+mJQwEhcvy6P2OEClqAwLqn1/JAMV9NWxrtSHkjT2AP5WpXCJvb8NnuxCrA/fPiALVu2qC7hW7duVUG2jL+WoFrGYJcoUcL4JSUiIiIi8+9iXbSodvy1NLGZWU86Mu0822VG1gPkJsHjfT9MP58Mhw4DJ04ApbwuwiUwAIXfHQcuyA3AfCAUdrjjmBOjPXchTensKFQIKJjyEbJmd0CaAmnNNhu2JHi7fx/w8QEC/14NlxP7kfzeJWTxvYS0mmdI/XE9fyRGcwxVYVnOnMDRlN3xPOM7pGtSFXmbl0AZlzi3h1ICi1WNpU2bVgXVmTJlQqdOnVRQXU4SWxARERGR7ZKpraTf6u3bwNGjQM2asCgtW2rHko8aBWTIYOrSWLXkWZKjThagTl3t35rQv3DHaygebDiBoEPH4XbzFLL6XUJqzQtkCfbB0l0ZELBLu+4CDEFJLFTZsh85Z8dLt+x4ny47NJmzwD5Teryp3xppMidSvfzTpQyCq5uj0QJx6aTx8iXw6uwd+F++A//bTxH08BlCHz6G44M7SPr8NpK9e4T8oZcRHKrt5rwWq1AL68O9zj3H7HiYugjeFyqD7T0DUKKyI1KrqPtHo5STLCzAbt++vQqqK+umYyAiIiIiEnJ+KAG2TNdlSQG2zH+9cqX2/6NHm7o0NkcCYPfqudQNaKGWaUI1eOb9FHf33sQEO5ew0QfpTrxB6Hs7uMIfuQO9gWdyAz72rIbTom+hmyFsKTqgCdbC384V7+1d8cHBFQGOrghyTIJAZ1f8WmYTQu0dodHYocH1hSjuexh20MAhOBBOQe+QSG4hcvNH8aQ38fytiwqyl2MgWuLj/mJAGjzBS+eMKiG9T9JG8HLODceiBZGqSiG41y6ArOlcwRRv1ilWAfY0mWWeiIiIiCgimabr77+BgwdhUR480N4nSpSgCc4o6qA7beH06lYq3CNrEOAXgMcn7uHFqdt4d9EHITd94PjkIfDuHYpnccKzZ9o5oNO+fwYXBMBFEwCEvAQkB3Pg/19p2zbNx2DcDq1wEeWwOdLyBPu9Qyhc1P8fJcoBn9C8eOOSFv5J0yEwRTqEZHWHc57sSFY0O07VSIUM7rrZ6lp/vJEtiFOnfm9vb9y6dQuvXr2CoWTkbdu2jcvLExEREZGl0fVwlC7iQUGAkxMswr172ntpcrQzz3G99H+JkieC+xe51S2iE3r/f/d0Pe5ff44PL94h8JX2FvT6HYJ83yH0jT/mlHeQOa9UBmvnMy2x/1012NnZw97FGQ7JXeGYPAmcU7rCKYUrDhdNjmSpgDRpAGfnsQDkRmSEAPvmzZto06YNjh8/bjCwFnZ2dgywiYiIiGxNwYJAihTaeYeOH9e2aFuCu3e195wD26q4pnNVt8joBrxKt++nT0ub5RRRZAMBdufOnXHhwgVMnjwZVapUQcqUKY1fMiIiIiKyPBKc1KsHLFsG/POP5QTY+i3YREQJGWAfOnQIgwcPRo8ePWL7vkRERERkrfr21WbktqQkZ7oWbAbYRJTQAXaaNGng5uZm/NIQERERkeUrUUJ7syQvXmjv2UWciOIgVgMMfvzxR/z9998ICZE0fEREREREFm7NGuDNG23LOxFRQrZg582bVwXXxYoVw3fffYesWbPCwcHhk/UaNWoU23IRERERkSV7/x4YNQrYtAk4dgxwjTzRlNlImtTUJSAiWwywmzdvHvb/fv36RZpFnC3cRERERDbKxQVYvRq4dUsbZLdoYeoSERGZZ4C9d+9e45eEiIiIiKyHzCXdqhUwerQ2o7g5B9jXrwM9ewKFCwPjx5u6NERkawG2h4eH8UtCRERERNZFF2Bv3w48fy6ZcmG2AbaU8fFjU5eEiCxcnGZRDwgIwJEjR7Bx40Y8l4MmEREREZFOgQLabOLBwdokYuaKU3QRkakD7KlTpyJjxoyoXLmySmZ2/vx5tVwCbZnG66+//jJWGYmIiIjIUrVurb2XbuLm6t497T0DbCIyRYC9cOFC9O7dG7Vr18aCBQug0WjCHpPgunr16li5cmVcy0ZERERElk7GXst47EOHgNu3YdYt2JwDm4hMMQZ74sSJaNiwIZYvX44XL1588nipUqVUCzcRERER2bjMmYEmTYDUqWG22EWciEwZYN+4cQM9JdNiJFKlSmUw8CYiIiIiGyTTdZmzO3e092zBJiJTdBFPkSJFlEnNvL29kSFDhriUi4iIiIgo/vn5AUmTAo6O2qRsREQJHWDXrVsXc+fOxevXrz957NKlS5g3bx4aNGgQl3IRERERkTWRnD0yDvuff2BWkicHLlwArlyRbpimLg0R2WKAPXr0aISEhKBw4cIYOnQo7OzssHjxYrRp0walS5dGunTpMHz4cOOX1gbNmjULJUuWhJOTE0aOHGnq4hARERHFzpYtQOXKgAwzDA2FWZEkbLlymboURGSrAXamTJlw6tQplUV81apVKov40qVLsWnTJrRs2RJHjx5V2cQp7mQqNAmsGzdubOqiEBEREcXel18Cbm7A/fvA/v0wCw8eAO/emboURGRFYj0PtrRSz58/Hy9fvsSTJ0/w6NEjvHr1Ss1/LY+RcXz99dequ72MeyciIiKyWC4uQNOm2v9PmgSz0LcvIHmDzHmObiKyjQBbX9q0aZE+fXrY2xvl5SKlazVPnjw5kiVLhpo1a+Ls2bPx+p5v377FiBEj1PtKdnTpDr9o0aJI1w8ICMCAAQNUK3/ixIlRrlw57Ny5M17LSERERGQR+vUDHByATZuAw4dNWxbJJbRhg5zsAfnzm7YsRGTb03SNGjUqysclCHVxcUGWLFlQtWpVZJb5D+Po9OnTqFy5MrJmzaoC3tDQUMycORMeHh44fvw48uXLh/gg2dLl82bLlg3FihWDl5dXlOu3b98ea9euRe/evZEnTx4VjEtSuL1796ryExEREdksOV9r3x5YsAAYPBjYu1c7/tlUU4cFBACFCwMlS5qmDERkdWIVYMuYYAmihYy/1hdxuYODA3744QdMnz49Ti3cw4YNUy3CR44cQerUqdUySaqWN29eDB48GOvWrTP4POm2LsFto0aNDD6+YsUK1QXb1dU10jHQ0v1dph07efIkypQpE2kZJdBfuXIlxo8fj35yhRZA27ZtVTK4/v3747DelVoJtg9JJk0DhgwZohLJEREREVmdESOAv/8G9u0D/vsPqFXLNOXQ9Uhs1850QT4RWZ1YRbz3799H0aJF0a5dO9Vt29fXV90kAJWAsnjx4rh27ZpqdW7dujXmzJmDsWPHxqmgBw4cwJdffhkWXOuCX2nB3rx5s+rKbYi0cjdr1gz/GJgSYsGCBWjVqpXKgB6ZRIkSRXtOb2m5lgsKnTp1ClsmLfkdO3ZUFwbu3bsXtvzgwYPqIoShG4NrIiIislpZswJdu5o2a/e1a8CRI9ru6q1bm64cRGR1YhVgd+3aFfnz51cJzUqUKKHGQ8tNppNauHCh6ho9cOBAFWhLF+latWphyZIlcSqojG2WFuyIkiRJgsDAQFy8eNHg82Q8dL169VR28927d4ctX79+PTp37qxawbt06QJjOHPmjGpRlzHi+sqWLavuYzNePDg4GB8+fFDToun/n4iIiMhiyXDDy5dN13qta1yR98+Y0TRlICKrFKsAe8+eParlODLymH5iLxmDfPfuXcSFjLGW6b/0g0sJrI8dO6b+/0CmWTDA0dFRTSVWvnx5lZFb1pdAW1qu69Spoy4I6Lq1x5V0JZdW9Yh0yx4+fBjj15TWbLmwIBnbx4wZo/4vU6IRERERWaykSQEnJ9O8twxjlC7qQsaDExGZOsCWbtO6wNYQCYSdnZ3D/paW16RyII0DaTWXbufS3drb21u1WEt3dAlqxfv37yN9rnTT/vfff1XrsgT7EmhLdu/Vq1erANxYpAyybQy9/+fKGNV494hdyCWRmiEzZsxAwYIFoxwnTkRERGQ2AgNlPB+wZk3Cvac0rEjSWhmSV79+wr0vEdmEWAXY0t1aunxLIq+bN2+qjN5yk//37dsXf//9t1pHR5KMSeAXFz/++KNKZrZ8+XIUKlQIRYoUUe8nycPE5wJ46bY9YcIENW+3jNeePHmywS7ncSGvJ13ZI5Ju3brH41O3bt3UxYcTJ07E6/sQERERGcX8+XICo52+y8A5VLzJkUOyymrn5iYiMnWAPW7cODRp0gSTJk1SrcLSais3+f+ff/6pMnbLOrrgslSpUhg+fHicCytdpJ88eaISnp0/f14FkhLYC3nvqNy6dUslXJOx4+7u7mjcuHFY67ex6DKOR6RbJnNjExEREdFHHToAMp2rDCWcPdvUpSEiirNY9Y+WLs8yrlkSmW3fvh137txRyyVwlYRmkuxMf11jBNc6KVOmDDef9K5du9R82xI4R0YC3Bo1asDJyUmNDZeu2vIaNWvWxL59+5AqVSqjlE2SuklrvZ+fX7hEZ7ru9PI4EREREX0kvfvkPLFzZ2lJAb77DkiWLP7eT5Lurl0L9OwJfPll/L0PEdms2E9MDagM4oMGDcLs2bPVTf6vH1zHNwnypRW7d+/ekc6xLfNgS9Av3cJ1wbhkOd+xY4eaNksyjL97984o5ZFWfUnCNnfu3LBl0mVcEqnJmO+sMi0FEREREYVvxc6dG3j2DJgwIf67pG/aBJw8Gb/vQ0Q2y3gZvuLZ/v37MWrUKNXqLHNhSyI1CVxr166NXr16Rfo8mQdbAmkvLy8VWOtIa7LMny2vJ/NgSxK1yEyfPh2vX78OywK+adMmNRe46NGjB9zc3NT/JYhu2rSputDw9OlT5M6dW7327du31ZzbRERERBSBZBOXhGMtWmjvJVnrV18Z/31k3usDB7RJztq0Mf7rExFJHkWNpKX+DGkdlpu/v7/KDi7//9zUVvK4ZA83FkloJkHw6dOn8ebNG+TIkQPt2rXDTz/9FC5jeURShqtXr6rEaIbIWG5JmBbV58mePXtYN/iIfHx81OM6MuZ82LBhKtGbtJ4XLVoUv/76q2pFTyjSRV2Cfl9f30/m5DY1GTMvFx/SpUsXaa8Dil+sA9NjHZgH1oPpsQ5Mz2zqQE5Hv/8e+OsvQHr8Xb8u09YY7/VlOtfSpYHHj4FWrYBly2BOzKYebBjrwPRCzbgOYhJfRasFW8ZQSwCqm9JK93dCypUrl+rWHVNS5siCayEB8OdIC3R0yZjz8ePHqxsRERERRYOcV0qSMzmplozixgyuZZrUr7/WBteFCwNz5hjvtYmIYhNgy1zMUf1NRERERBTnruLz5hm/ZbxTJ+2Ya0lqu3GjzO1q3PcgItJjXm3vRERERERi1y6gWTMgKCj2rxEYCLx5Azg4AGvWADlzGrOERETGC7Dv3r2LH3/8Efny5VNTZ0kSMvH8+XP07NkTZ86cie1LExEREZEte/1apmfRBsXdumlbomNDupqvXw8cPAhUr27sUhIRGSfA9vb2VlN0yTRZkmxMBn3rEpqlSZMGBw8eVJm3iYiIiIhiLEUK7ZzVMjZbuo3L8MSYtGS/ePH/oFzGdZcvH29FJSKKc4Ddv39/pEiRAteuXVPZsiMmIpe5pQ/INAhERERERLHRoAEwZYr2/6NGScZbYNIkbZfvyMg5qfSirFQJaNtWm+CMiMjcA2zpDt6lSxekTZvWYDbxbNmy4YFMh0BEREREFFs9egDSKzJ9euDePaBvX6BChfBdxt+90yYvk2RmWbIAJUsCV68CXl4yt44pS09ENsg+tnOUJUmSJNLHnz17hkTGnF6BiIiIiGyTjMGWKVOlq3i+fEC7dtqu40JauFOn1k7DJY8/fAi4umr//u8/bWBORGTuAXbJkiWxZcsWg4/JWOyVK1eiPMe6EBEREZExuLgA338viYCAXr3+vzxHDiAgQJsdXFq7d+zQjr/+5x+gQAFTlpiIbFS05sGOaNCgQfjqq69UN/EWLVqoZU+ePMGuXbswduxYXL58mUnOiIiIiMi4JGGZs/P//65RA7h8WduybWDYIhGRRQTYderUwaJFi9CrVy/MnTtXLWvTpo1KdpY8eXIsWbIEVatWNXZZiYiIiIj+L3FiIH9+U5eCiChuAbb49ttv0ahRI+zcuRPXr19X47Jz5cqFWrVqIVmyZLF9WSIiIiIiIiLbCrCFq6srvpYkEkREREREREQ2LlZJzoiIiIiIiIgoFi3Yo0aNgjEMHz7cKK9DREREREREZJEB9sKFC+P8RnZ2dgywiYiIiIiIyLYDbB8fn/gvCREREREREZEF4xhsIiIiIiIiIiNggE1ERERERERk6mm6yDxpNBp17+fnB3Mj86W/efMGLi4usLfn9R1TYB2YHuvAPLAeTI91YHqsA/PAejA91oHphZpxHejiKl2cFRUG2FZIdkyRNWtWUxeFiIiIiIjIauIsNze3KNex00QnDCeLu/rz8OFDJEuWTGVvN7erPxL437t3D8mTJzd1cWwS68D0WAfmgfVgeqwD02MdmAfWg+mxDkzPz4zrQEJmCa4zZcr02dZ1tmBbIan0LFmywJzJl8bcvji2hnVgeqwD88B6MD3WgemxDswD68H0WAeml9xM6+BzLdc65tW5nYiIiIiIiMhCMcAmIiIiIiIiMgIG2JSgEiVKhBEjRqh7Mg3WgemxDswD68H0WAemxzowD6wH02MdmF4iK6kDJjkjIiIiIiIiMgK2YBMREREREREZAQNsIiIiIiIiIiNggE1ERERERERkBAywKcYCAgIwYMAANdF64sSJUa5cOezcuTNaz33w4AGaNWuGFClSqPntGjZsiFu3bhlcd8GCBShQoABcXFyQJ08eTJs2zcifxPbqYP369WjevDly5syJJEmSIF++fOjbty9ev379ybrZs2eHnZ3dJ7cff/wxnj6VbdTByJEjDW5X2c8N4ffA+HUQ2b4tN9nG+iJb7/fff4/HT2Y53r59qxLS1K5dG6lSpVLbZtGiRdF+vhx7OnXqhLRp08LV1RXVqlXD6dOnDa7777//omTJkuq7kC1bNvW+wcHBRvw0tlkPu3fvxnfffYe8efOq3wX5ffj+++/x6NGjT9b19PQ0+H2Q97V1cakDWS+yY83jx48/WZ/fBePXQWT7ttycnJzCrcvzo8idOHEC3bt3R6FChdQxXfZPOe+/du2aTf0mOJq6AGR52rdvj7Vr16J3797qZFQOXnXr1sXevXtRuXLlKA988kXx9fXF4MGD1QHrzz//hIeHB86ePYvUqVOHrTtnzhx1oGrcuDF++uknHDhwAD179oS/v786obZ1sa0DOWhJMNKmTRt1MLpw4QKmT5+OrVu3qgOYBCn6ihcvrgJwfXISRrGvA51Zs2YhadKkYX87ODh8sg6/B/FTB5MnT1bHI3137tzB0KFDUbNmzU/Wr1GjBtq2bRtuWYkSJYz4SSzX8+fPMWrUKHU8KVasGLy8vKL93NDQUNSrVw/nzp3Dzz//jDRp0mDmzJnqRPfUqVPhLnZs27YNX3/9tXpMLjLJsWv06NF4+vSp+i7ZurjUgxxLXr58iaZNm6ptLhe95Xdh8+bN6rc5Q4YM4dbPkiULfvvtt3DL5HfF1sWlDnTk+Tly5Ai3TBok9PG7ED91MGTIEHVhSd+7d+/Ub7Ch3wWeHxn2xx9/4NChQ+p4UrRoUXWBSI4nEggfPXoUhQsXto3fBMkiThRdx44dk6zzmvHjx4cte//+vSZXrlyaChUqRPncP/74Qz33+PHjYcsuX76scXBw0AwaNChsmb+/vyZ16tSaevXqhXt+69atNa6urpqXL19qbFlc6mDv3r2fLFu8eLF6vXnz5oVb7u7u/kkdUNzrYMSIEeq5z549i3I9fg/irw4M+fXXX9XrHTp0KNxyWdatWzejlNkaffjwQfPo0SP1/xMnTqjttXDhwmg9d9WqVWr9NWvWhC17+vSpJkWKFJqWLVuGW7dgwYKaYsWKaYKCgsKWDRkyRGNnZ6d+R2xdXOph3759mpCQkE+WyWvINtbn4eGhKVSokBFLbj3iUgeynqwvz/scfhfipw4MWbp0qXqNZcuWhVvO86PIyW9oQEBAuGXXrl3TJEqUSJ2/2MpvAruIU4xIa5G0tElLqI50zejYsSOOHDmCe/fuRfncMmXKqJtO/vz58cUXX2D16tVhy6T16cWLF+jatWu453fr1k1dTdyyZQtsWVzqQK70RfTNN9+o+8uXLxt8TmBgoNruZJw60JHYzc/PT90bwu9B/NeBvuXLl6uWo4oVKxp8/P379/jw4UOcy21tZK7SiC2cManD9OnTo1GjRmHLpFugdCfcuHGjGgIgvL291U3q2tHx/x3v5Lsh3x95HVsXl3qoWrUq7O3tP1kmXWwj+12QbpgRe4HYurjUgb43b94gJCTE4GP8LiRMHej/Lkg3ZRnOaAjPjz4lv6HOzs7hlknLs3QZj+x4Yo2/CQywKUbOnDmjusDI+Gl9ZcuWVffSnSyybh/nz59H6dKlP3lMnnvz5k31o6J7DxFx3VKlSqmTAN3jtiq2dRAZ3fgu6YoT0Z49e9SYPOnKLGOOpkyZEqeyWwtj1IGMc3Rzc0OyZMlUl/0nT5588h6C34P4/x7Ia8kPf6tWrQw+Ll3P5SRLhlAULFhQnXRR3Ml2l26DEYM7qUMZBqEbsxfZd0G6JUt3ZVv/LsQHCZ7lZuh3QepFvg9y7JJgZtiwYQgKCjJJOa2NDKOTY5r87jZo0ADXr18P9zi/Cwnn2bNnKqeHdEOW/T0inh9Fn0ajUec4ho4n1vqbwDHYFCOS9CRjxoyfLNcte/jwocHnyfguufL0uedK0i15D2mZSpcuXbj15IqYjNOO7D1sRWzrIKrxMrK9mzRpEm65jJ2RcaxSJ9KSKkGGjHWV15fn2LK41EHKlClVApAKFSqoq+0yrnrGjBk4fvw4Tp48GRYw8nuQcN+DZcuWqfvWrVsbvBovV8+ldVteU+pK1pNcEl26dInTZ7B1UofSUhpVHRYpUiQs2VZk9W3r34X4IHkKpHVOkmLqy5UrlwoCpV6k5U5aimTco5z4rlq1ymTltXQSqElOCV2ALeNNJ02apI4/kh8la9asaj1+FxKO7M/SU8PQ7wLPj2Jm2bJlKsmxjI+3ld8EBtgUI9JNUoKCiHQZkOXxyJ4novNcuY/YvUR/3cjew1bEtg4MkZY4yVLdv3//T7InS3ZGfR06dECdOnXUj36PHj3UVUJbFZc66NWrV7i/JYGZXJ2VH3FJ5jFw4MCw1+D3IP6/B9K7ZuXKlSppmWRrj0iSteiTbMvSi0ASNcoJccTEgGT8Ovzc74cMtSDj2b9/P3755Rd1Yal69erhHpPfC33ffvut6qY5b9489OnTB+XLl0/g0loH2dZy05FW01q1aqlgY8yYMZg9e7Zazu9CwpHzI+meLEkuI+L5UfRduXJFDW2TRoV27drZzG8Cu4hTjMjJpG4MhD7d2MTITjZ1y6PzXLmXK+eGyLq2fkIb2zqISFpOZbyq/IjLD/jnyBQUcgIlV3Rjkx3VmhirDnSka7J0tdy1a1e49+D3IP7rYN++ferKuqFWCkPkoof0QJCpRKSVieK/Dj/3+2Hr3wVjnwxLXg7J9Dt//vxoPUeXSVn/+EVxJy2kMvVgxN8Fwe9C/JJM+pLLQ3pw6I/xjQzPjyIfglivXj01HE6XN8VWfhMYYFOMSNcLQ3Nj6pZFNlWHJEuRK03Rea68hyT4kFT7+iTYkK44tj4dSGzrQJ9MgSDju+QkSg560fkBEbpuatLl35YZow4MbVv97crvQcLUgXRdk/FeLVu2jPZ783uQsHWo6wYY2bq2/l0wFkkMKNMRycmwTN0oY6yjg9+H+GPod0HwuxC/dHk2onvhVfB7EJ6vr69q1ZeL0du3b4/WvmlNvwkMsClGZN4/GWsVsfvFsWPHwh43RE5gZdyEjDGNSJ4rCZ90P+a614i4rvwt3Tkjew9bEds60JGEcrVr11Zje+UkSn8u5uhc1RXSbcqWxbUODCUAuX37drjtyu9B/NeBXP1et26dyq4fkx9kfg+MQ+pIxpfK/hyxDmVMqm5O2ci+CzLO7v79+zb/XTAGuWgnwbV8J3bs2GFwbGNk+H2IP7Jto/O7wO+C8QNsyTcQkyEP/B6Eb0WuX7+++o3evHmzSg5qc78Jpp4njCzL0aNHP5l7VuYdzJ07t6ZcuXJhy+7cufPJPHS///77J/M8XrlyRc2DPWDAgHDz/6ZKlUrz1VdfhXt+mzZtNEmSJNG8ePFCY8viUgcyP2TOnDk1mTJl0vj4+ET6HrKNg4ODwy0LDAzUVKpUSePs7Bw2z6StiksdyJyOEc2YMUO93qRJk8KW8XsQf3Wgs379evUaCxYsMPi4obry8/NTc22nSZPmk7k+bV1U884+fPhQ1YMcR3RWrlz5yZynMj+8zHnavHnzcM/Pnz+/mvNU/7g0dOhQNeept7d3vH0mW6iHt2/fasqWLatJliyZ5uTJk5G+rq+vr/qO6QsNDVV1Je936tQpI38S26kDQ8eaLVu2qNfo2bNnuOX8LsRPHeicPn1aPW/YsGEGX5fnR1GTbdOgQQONo6Oj2ocjY+2/CQywKcaaNm2qvjg///yzZs6cOZqKFSuqv/ft2xe2joeHh/qSGDoxTZcunWbcuHGaP//8U5M1a1YV7EX8cdEFHE2aNNHMmzdP07ZtW/X3mDFjEuxzWmMdyMFIlvXv31+zdOnScLf//vsvbD35QZK6kgsfs2fP1owdO1ZTuHBh9Vz5P8W+DhInTqxp3769ZuLEiWo/b9mypfpBKF68uObdu3fh1uX3IH7qQKdx48aaRIkSaV6/fm3w8REjRvyvvbuAjuJ62wD+xEhCIIEEd3d3d3cp7lpoixb5Y0UKRVushkOxIsXd3a24W3APBEJ0v/NevtlGNiEhm8wm+/zOGcLend29O3dmdt65po4Z+dGePXu2YfTo0YaMGTOq8lqyZEmMfa+4ZubMmYYff/zR0LNnT7WtmzRpoh7Lom3bDh06qOeC39iTC6NSpUoZEiVKpLat7O958+ZVgZ7cfA1u48aNartXqVJFlYUEHba2toZu3brF+veNb+XQsGFDlda5c+cwvwtr1641rrd3715DqlSpDP369VNlNWXKFBVUyGu7d++uy3eOL2UgNwblfDZx4kT1myvbU85lco305MmTEJ/BYyFmykDz/fffq+dCn4M0vD6KWJ8+fdS2qF+/fpjziSya+P6bwACboszHx8cwYMAA9UMrF6fFixc3bNu2LcQ64V3Uenp6qmDB1dVVHUBSO3fjxg2TnyMHTM6cOdUdQTmZSUAud8vpy8tAHoe3yPoaqcWQk2PatGnV9peyKleunGHlypWx9h3jaxl07drVkCdPHvWD4eDgoC6s5IdabkCZwuMgZs5FUhvn5OSkLr7CIzedqlevrt5fykruoteoUcOwe/fuGPk+cZXcdAjvvKJdPIV3Qfvq1StDly5dDB4eHqplhpRX8FZOwUmwJzeipKzTpUunbnyYqoGyVl9aDhG9Tp7T3L59WwWBmTJlUseOlFfRokVVkMFzUvTKYNiwYWrfdnNzU+eaDBkyqAAxdHCt4bEQM+ejwMBAdd1TpEiRcN+f10cR035zEc6iie+/CTbyj97N1ImIiIiIiIjiOg5yRkRERERERGQGDLCJiIiIiIiIzIABNhEREREREZEZMMAmIiIiIiIiMgMG2ERERERERERmwACbiIiIiIiIyAwYYBMRERERERGZAQNsIiIiIiIiIjNggE1ERERERERkBgywiYiIKMZ5e3sjRYoUWLp0aYx+TqlSpTBo0KAY/QwiIqLwMMAmIiIis3r9+jXs7e2xcuVKY9r06dOROHFitGzZ0pi2e/dudO7cGTly5EDChAmRJUsWdO3aFY8fP/7izx48eDB+++03PHnyJNrfg4iIKKpsDAaDIcqvIiIiIgrH33//jXbt2uH58+dIkiQJ/P39kTZtWvTr1w9DhgwxrlesWDG8evUKzZo1Q/bs2XH79m38+uuvKtg+d+4cUqVKFeXPDgoKUp/VrVs3jBkzxszfjIiIKGIMsImIiMis2rdvj/v372Pfvn3q8dq1a9GkSRPcvHkTWbNmNa534MABlCtXDra2tiHSKlasiGHDhmHs2LFf9Pm9evXCxo0bcefOHdjY2JjhGxEREUUOm4gTERHRZ0mwLP2bHz58iB49eqjm3kWLFsXp06fD1CBv27YNdevWNaatW7cOmTJlChFciwoVKoQIrrU0d3d3XLlyxZgmr5VAObxFng+uevXquHfvnqoFJyIiik0MsImIiChCBw8eVEHrx48fce3aNcyaNQsdOnTAu3fvULVqVRXMak6ePKmahtepU8eYduTIERQpUiTSg6HJkixZMmPatGnTkCtXLqRLlw6LFy82LrJOoUKF1PPBSeAvDh8+bIZvT0REFHkMsImIiChCI0eOhIODA7Zv324cPKx///5YtWoVvLy8MGXKFOO6mzdvRsaMGZE3b171OCAgALdu3ULmzJkj9VkSLPv5+aFFixbGtEaNGiFlypRwc3ND27ZtjYuLi4vqby3PBydpCRIkwOXLl820BYiIiCKHATYRERGFS4JdqQnWglx5LKRpd8GCBVXNtNbXWmzZsiVE83AZxEyGe0maNOlnP0v6X48ePRrNmzdHlSpVopVv+bwXL15E6z2IiIiiigE2ERERhevly5cqqJZRvk2RmmltWi2p3T5z5kyIAFvzuTFVr169isaNGyNfvnyYO3dutPMtn8cBzoiIKLYxwCYiIqJwaUFqeAGyNB3XBirbunUrnJycULlyZePzMmCZvIfMjR0eT09P1KhRQzUBlxpwGUAtut68eROiHzcREVFssI+VTyEiIqI4KXny5Kqvs/SjNkXmrtb6V0v/awmunZ2djc/b29ur0cNlyqzwasgluPb19cXu3buROnXqaOdZRjqXWvfcuXNH+72IiIiigjXYREREFC47OzsVAK9fvz5Mn2aZouvUqVOqSbi/vz927txpsnl46dKl1XqhvX//Xo02LgGx1FyH1ww9PFJ7HhgYGCZdmzqsTJkyUXo/IiKi6GKATURERBEaM2aMmt9aBh7bsWOHSps5cyaqVauG9OnTo2/fvjh06BDevn1rMsBu2LChagZ+/fr1EOlt2rTBiRMn0KxZMzXv9ZIlS4yLzJ39OTLo2vHjxzF79mwVrGsk0M+QIQMKFy5slu9PREQUWTaGz406QkRERFZP5rKWqblkEDOprU6YMKGaA3vGjBnIlCkTBg4cqGqhL126FOa10lxbps7q06cPhg8fbkyX1wWfQzs4merr7t27xseVKlVSNegXL140pq1YsQI9e/ZU/bslgJd5suVGgPzt0qULfvzxR7NvByIioogwwCYiIqJIW7hwITp16qT6VEuArMmTJw/q1auHSZMmmXydBLsLFizAjRs3VLPzmCI1361bt1Z9xs3Rn5uIiCgq2ESciIiIokVqqFu0aKEC7/D069cP3t7e+Pvvv2M0LxMnTsR3333H4JqIiHTBUcSJiIgoWhIkSICRI0dGuE6iRInw7NmzGM/L0aNHY/wziIiIwsMabCIiIiIiIiIzYB9sIiIiIiIiIjNgDTYRERERERGRGTDAJiIiIiIiIjIDBthEREREREREZsAAm4iIiIiIiMgMGGATERERERERmQEDbCIiIiIiIiIzYIBNREREREREZAYMsImIiIiIiIjMgAE2ERERERERkRkwwCYiIiIiIiIyAwbYRERERERERGbAAJuIiIiIiIjIDBhgExEREREREZkBA2wiIiIiIiIiM2CATURERERERGQGDLCJiIiIiIiIzIABNhEREREREZEZMMAmIiKycPv27YONjQ1GjRqFuGjhwoUq//I3vm1Pf39/jBw5EtmzZ4ejo6N633Xr1pkln/HZ3bt31bbq2LEj4hP5TpUqVbKaY5uIwmKATUQUw8aNG6cuoGS5du2a3tkhCxRfgw1r8PPPP2PMmDFIkyYNBgwYoILtXLlyxWoe5s2bp/af2rVrh7tO3bp11Tq///474ptMmTKpJT6RIF3Ki4jiHnu9M0BEFJ8ZDAbMnTtXXSjJ/+fMmYMpU6bonS2KY0qUKIErV64gWbJkemeFQtm0aRMSJUqEnTt3IkGCBLrkoUuXLtiwYYNafvvtN3z77bchnv/jjz+wZcsWFYB/8803sARp06ZV+7SbmxusGY9toviHNdhERDFox44dqnayQ4cOSJUqFRYtWgQ/Pz+9s0VxTMKECVWtKC/CLc+jR4/g4eGhW3CtkZt3yZMnx6BBg0K0lLl+/bqqWZc8zp8/H5bCwcFB7dOpU6eGNeOxTRT/MMAmIorhi17RrVs3tGnTBi9evMDatWtNrit98KSmW/rkLVu2DCVLllQ1Y8GbPn748AHjx49HoUKF4OLiop4vXbo0li9fHub9JJD/9ddfUadOHWTMmFH1D3V3d0e1atWwdevWKH2P4HmTmwSFCxeGs7MzUqRIgc6dO+PJkyfhNnGUfEgT2pw5c6o8BG8G/eDBA3z33XfIkiWLek6CgAYNGuDkyZNh3u/du3f48ccfkS9fPri6uiJx4sTImjUrWrRogdOnT4dZ//jx4/jqq6/UjQ0JftKnT4+vv/5aBURRyeuECRPUc9OnTze5beT97O3tUaxYsRBp8j5ly5Y1fr40IW7dujUuX74cZttmzpxZ/V+2rdadIHif5Yj6ad64cQPt27dXNYLa58hjSY+oHFevXq1qz+QCX/aLli1b4uHDh4iqFStWoGrVquo9nJyc1P7aqlUrnDp1yuT6e/fuVdtbyk/KUZouSw2eKVHZ34Pf1Kpfv77aN6UMpdwbNmyIXbt2ffa7fPz4Ue0zso2kFjgoKCjcdWXfkPXu3LmDe/fuGcssdFPllStXokKFCqqmVo6Z/Pnzq+/k6+sbblPnt2/fon///ur/EohGpn+ufF8538g2a9u2LQICAtQi/5e02bNnq30xql0Wrl69ikaNGqnylTIoV66c2samyHeS40W+o+xXUr7ly5dX2yCizzC1XeX5WbNmqfeS/SplypTo3r07vLy8jOtqx4Vs/+BlEJXuFo8fP1ZlLdtajh+5SdGkSROT55TgYwls27ZN7cdSrqaacss5oF27dqpcpNyLFi2qzuuhhT62te2yf/9+9Tj4d4pK324i0g+biBMRxZCnT5+qJps5cuRAmTJl1MWm9NeUC10JCsMj60hzUwkSKleubLygfPPmDapUqYKzZ8+iSJEiKrCVAGD79u0qcLt06RLGjh1rfJ9Xr16hT58+6rOrV6+uLhzlYnLjxo0q6JaL8a5du0bpO02dOlVdXEv+a9WqhUOHDmHBggXqIlECWvmM0Jo2baoCZmmeKhfqcsEpzpw5gxo1aqh81qxZU13Uyg0IGSBKLuLlRoTkU0jzevm8I0eOqABL8i1BrQToErDJRbxcwGqkpk4uxiXAkoBdgiwJOKW5vnz/Y8eOIUOGDJHKqwSew4YNw19//aW2Z2hLlixBYGBgiAv6AwcOqEBDyk/eUwJD+XwJamWfOHz4MAoWLKjWlYtmKVsJ4CVNPlcjgWVEJK9yw0RuPsj3zJMnjwqIJE/r169XQWXx4sXDvE764Uo+5DUVK1ZUZSeB8r///otz586p7fY5UiadOnVSNwWk9k3KT8pfKxO5SRH8poPWnFryJdu3R48e6maDNF2W7yH/D16LF9X9XUj/Z7mxIdtbtqOUuwQ6st/INpFtFZ7Xr1+r7SFlIwHw//73vwi/v7y/BGXTpk1Tj/v27av+JkmSxLjO0KFD1XvJ95I8S77k5paky/eQYyl0zbfc5JHvLceFHB9y3tBuwHyO3EiQ7ST7v2wHIdtW9k0pn6iSmwdyvEmQKzen5Pwh+4mUnwSLwc9jkm85jiUwlBpZCVolsJd9XtaT/eqnn36K9GdLTbxsIzkPynaQfUrOWTdv3sSePXvUOrL9pcxDl0Fkjh3t+8m5RvYR2eZyY8jT0xOrVq3C5s2b8c8//6BevXphXiffSQJsbT+W4D70viTnXdkX5BiRfVluMshNVrmJNXDgwHDzJK+R7yRBvLyv/F8T3/qZE8VbBiIiihHjx483yGn2p59+MqYVLVrUYGNjY7hx40aY9UeOHKnWT5gwoeHMmTNhnu/QoYN6fuLEiSHSfXx8DDVr1lTve/bsWWP6x48fDZ6enmHe582bN4a8efMakiZNavjw4UOkvouWNwcHhzB569u3r3quc+fOIdIrVqyo0vPnz294/vx5iOf8/f0NWbNmNTg6Ohr27dsX4rmHDx8a0qRJY0iVKpX6DuL8+fPqvRo1ahQmb4GBgYZXr14ZH1+7dk3lU97/wYMHIdbdtWuXwdbWNsz7RJRXUaNGDfX8hQsXwjyXJ08eQ4IECQwvXrwwpj19+tTw9u3bMOueO3fO4OLiYqhVq1aI9Dt37qj3lzI2Ze/evep5KQdNUFCQIVeuXCp9yZIlIdb/+++/VXrOnDnV9gldjokTJ1bbNLhWrVqp51asWGGIjFmzZqn1ixcvrvap4AICAgyPHj0yPl6wYIFa187OTpVBcP/73/9M7tdR3d+3b9+u1s+cOXOYchfBj4XQ2/Pu3buG3Llzq/0m9Lb8nIwZM6oltCNHjqjPSJ8+veHx48ch9v169eqp58aNGxfmvSS9atWqBm9vb8OXkP1OtoFsa1kyZcpkcl+MiLY/yjJgwIAQz508edJgb29vSJIkicHLy8uYLuc5Wb927drqOwY/FrTvdfjw4c/u81q5y3a7d++eMV3es3z58uq548ePR6oMPkc7rseOHRsiXfIp287d3d3w7t27MPux7Htbt241+Z7admvWrFmIY+/27dvqnCv72K1btyI8toOfk4go7uGRS0QUAyT4kQBPgrngF/szZ85UF02DBg0K8xot+JGANTQJ3uSCr1ixYiY/TwI3ee3AgQMjlb+ff/5Zrb9///5Ira/lLXQQLSS4cnNzMzg5ORkD4uAXiOvWrQvzGkkzdfGumTZtmnp+8+bNIQJsCQI/Rwv4N23aZPJ5Ca5lWwYPOiLKq1i6dGm4wYakN27c2BBZ9evXVzcW/Pz8ohVgHzp0SKWVLl3a5GvKlSsXpoy1chw2bFiY9ffs2aOe+/777yP1PfLly6fWN3UzKDQtMGnTpk2Y5yTwkOeaNm0arf1dC1rXrFnz2fwE354SpKdOndrg6uoaJviPjPCCu65du6rPkBsRoclNIDk3SCAc+r3kNfL9okPb3rKEFwhGRNsf5bg2FZxrQfDChQuNadmyZVOB55UrV8KsP3fuXLV+p06dIh1gz5kzJ8z7zJ8/Xz0n59HoBthyw0XeK0OGDCGORU3btm3V84sWLQqzXU3d6NNoN5Jkvw5NO/5GjRplTGOATRT/sIk4EVEMkCaMt27dUk0mpW+sRpqJfv/996r5nzRvlf6VoUm/2NCkmac0Qw6vH67MxStC92WVZrSTJ09WTZaleaf0MQ0uqn1upTlxaNIHUZpjStNQ+fzQTTNNfZ+jR4+qv9IEMrx+xdr3kWbi0vRZ3lf63sprpCmsNO2UJsihm9hq7y35MdWX+9mzZ2pbyuBPwZuVh5dX0bhxY/U9ly5dqpp+29nZqXRpHi1M9feUJqZ//vmn6ossTd+lP2xwkhadAZ6kib2Qpq2mSLo04Zcm1tIHOLjQTbeFNKfWmrd+zvv373Hx4kXVL1b640dWZD/3S/Z3afYv60tXgsiS7fPLL7+o/uByjGjN9s0hovKRbiPp0qVTTZSlC0jwkbSlv3GBAgW++HN9fHwwceJE42Np7hx6m0g/X1Nzkofe1tI0X7ZNaNKtQfZ92bdkAEfpoiBNt+VcZ2qKMm0byPqRFd199HO0vEj3ElPnYcmzdCuQ9WRMg8icJzTS/cRUs37ZbqNHj47SdiCiuIcBNhFRDJB+1qYCLxkoSPoUSt8+6YsqAyqFZmogopcvXxoDD1NBo8bb2ztEwCEXiRLYySBU0r9U+nPa2tqq/pDy+aYGWoqIBFSmaHkOPgBRZL6PXPxHRPs+EtDKTQvpVyr9HwcPHqzS5eJfLvCln6v0bw3+3nJjITLv/bm8ChmkqHnz5qoPqPSblb6X0udUAn7pdxx6/mHpTy39QZMmTar6v8sFtwz6JAGg9DGXvs5R3fahads6vCBdS5f+n6EF7yeskT7tQgLbz9HeM/jNo8iI7Od+yf4ueZLtLWUVWRLoSHAo/WXNPXd1ZMrn/v37Kt/BA2zp9x+d+Y+l77L0w5fxAuQmk/THlv7ict4JHmBLoPe5ADuyx3t09sXwRHcf/Zzo5Plzg8V9yXmSiOIPBthERGb2/PlzFUQJGTRHlvCCcFMBtqmLa+0CvF+/fqrGLTKkhlxqs7RRm4OTgFQC7C8ZuM0UbRRxU3PaRvR9JA8S+EeGBE8yyJosUlsmwYOMMiwjpctF8OLFi0O8t1zEyg2FqIgosJFAXgJsqbmTgFpqqCUQlEAmeA2Y3NCQQEUupqUWM/QFvFbDHl3a9zQ1gruQFgvB1zMnLfj5klHHI+NL9nfJk5SH7PORDbJlBHtp0SAtDWQ/lOM2KgF6ZMtHRruPbPlEJ7iWmz8yD7YMSia12NISRGqCZRYDaXGgDSIn54NPrZnNc7zruS9+qejk+XNl9CXnSSKKPzhNFxGRmWlzXUvz4y5duphcpNZTRniWJqKRIU0Speb54MGDkc6HBKFSY25qahdtCpioMvU6CWSlRlyatubOnTtS71OqVCn1NyrfJ7hs2bKp7Sj5kZrr4DcLovve4ZEpt7Jnz64+S76z1jxcAu/QTb8l4Jda0dDBtdS4ak2Hg9OanEelZk5rmi0juJsiN1a0Zr7mJtM1yXRpEkjERHPXL9nfpdwlaJTRnSNLAqU//vhDtTaQ4FSmDJPm7+YQUfnIsSmjrUszYlM1tV9CRh2XEavlZo80bZaR4KWMZGo7KaeePXtG+T1lX5Ua/tC076R9R23KPLnhYmp6uJjcF7XjJ6q12lrepZtA6O4b0c2ztEyQVgKf224R+ZJzAhFZBgbYREQxNPe1TIUk00KZWmTKGwkG5P+RIc1GZYoX6c8rF8ymLrqkz3fwgF2mdJGL7vPnz4dYb968eWr6my8htcShAyqprZWAU2rqIzO9k5A+1HJBLrVtMk2TKVLTK9P8CPlet2/fDrOO9MWUptbBax2lVlKCDKn9lH7WocnNjy8NviWYln7sUraSb+krG/piWcpKmoPLPLrBmzBLv2Gp7ZYA3FTtvAR7cmEelYBfpsKSAEGazQcnj+U7Sl9f6aseE3r37q3+yr4cusmrTKel1QB+iS/Z33v16qX+yhgHpmrWI6ptl1YRQ4YMUUGVjJsg81BHl0yXpbUkkVYtGvkuAwYMUNtIbhKZi0wXJdNNyecF78Mt20P6Gcs+IYF3VEi5atN9aaRMZCwCqYWVsQmCf185p8kUVMHLS/Z3KUNtnZjg4eGhtrG0Xogs6QMv3TckENam+dLItHUyDZkcl8G/Y2TJ95duLMHnUZd9dcaMGaqZu8xNHpnvJKJyTiAiy8Am4kREZiQ1FBLUSRPNiAbCkQvrcePGqTmkpS+k1rcwItIUWmqHfvjhBxXoSuAkff3koloGe5K+qtInWBtcR2rlJJCW9aT/sFwQy8WxBGTSND10UBYZ0jRaAjt5P6mdlfeSRYJ5GfwrsiQAXrNmjQpmpNZQantlEDMJTGUeWvkuElBLkCZp0mdZ5vGVOZ2lljxNmjTqglpqkyVw1fpkC+lLK/1O5WI+b968aoAnCTRlPblYlcBTWhBIP9Woateundr+MjetvF/o2mshNa8SfMr2kP1AbiZIUC/Bm9zwkLmxtdoxjdTClyxZUuVNAkvJr9RgSbPl8Aa8koBcatElSJB5huVz5Ltfu3ZNNXWWWkWZu1vyExNkLnLJr+yLUrMvny/bVfZH6S8v29/UAGWRFdX9XeZKHj58uAowZR/R5sGW2lvZR6WG29TAXhqZo1laYUjZyjaVmnAJsL6U7NPSH3rSpEmqJlmOOan5l3mwpbm2fJ+I5kOOCtk+Mp6BDGYnAXVwUv6yn8h+JDchpEWLBJeRIe8nNwEl4JTjXpsHWwJH6Z4RvAuG3DSQ7ybHpAwWJ4MTyg0yyZc0w5dtEVM3e2SMCdkf5FiXPMuNPslD8H7npkjXAPleUg7SgkGa02vzYMt2k/OzqUHePke2tWwzacUk+6U2D7b8lf3BVJcBU99J8iHnPdmWchMxY8aM6hxERBZO72HMiYjik9atW6upVaZPn/7ZdatXrx5iWiFtCheZtiU8vr6+aooamZpJphWS+ZdlvtgqVaoYpk6dGmIuZrFx40ZDyZIlDYkSJVJT7shnyrRN2nQz8jcygudNXlOwYEE1LVeyZMkMHTt2DDHncVSmmZE5cgcPHqzm5XZ2dlZzRMt0PzJl0+LFi43z6cqUOkOGDDGUKVPGkDJlSvW906ZNq+aT3rJli8n3lqm9ZMofmYZH1pc5aOVzunfvbti9e3eU86qROYplXZkL+MmTJybXkXzLVGgyt7JsJ8mzTPsj8y1r0xDJNEXBydzoMtWUzL0r0x0FL5/wpvIRV69eVe8t84ZLnuSvTIcl6aFFtI99bqqw8Mi80RUqVFD7o0w/JvMuy3Fw+vRp4zqf29/kOSmD6O7vQqZ2k3mypbxl/XTp0qlplYKXeUTbc9KkSeq5woULm5wTPbTPTRG1fPlyQ9myZdUxKNtH5k2XeZdlPu+ovpcpMle0HNuyfWT/Co9MeyXfS84BMo1gRILvC5cvXzY0aNBAzXstx6gcg9u2bTP5OvlOMre3HGey38t3lu++bNmyCD8juPCOj4jKTeYM79GjhzonyBRZUdmPZRpFea2cJ2SOag8PD0PDhg0NJ06cCLNuZM6b2r788OFDdRwmT55clbvsTzLdX2S/k8wlL+c8mcpNjuvwjhEisjw28o/eQT4REVk2qYmUmnZTA6YRUfwizaalZYC00Iio1p+IiMJiH2wiIiIiIiIiM2CATURERERERGQGDLCJiIiIiIiIzIB9sImIiIiIiIjMgDXYRERERERERGbAAJuIiIiIiIjIDOzN8SZkWYKCgvDo0SMkTpwYNjY2emeHiIiIiIgozpJe1e/evUOaNGlgaxtxHTUDbDPz9vbG5MmTcfz4cZw4cQKvX7/GggUL0LFjx0i9/vTp0xg5ciROnTql3itLlizo2rUrvv32W9jZ2UXqPSS4Tp8+fTS/CREREREREWk8PT2RLl06RIQBtpm9ePECY8aMQYYMGVCwYEHs27cv0q+V4LpMmTLInj07Bg8ejIQJE2Lr1q3o06cPbt26henTp0fqfaTmWtsBXF1dYWm168+fP0fy5Mk/e/eHYgbLQH8sA8vActAfy0B/LAPLwHLQH8tAf0EWXAZv375VFZhanBURBthmljp1ajx+/BipUqVStdDFixeP9GtnzZql/h44cADu7u7q/19//TUqVqyIhQsXRjrA1pqFS3BtiQH2x48fVb4s7cCxFiwD/bEMLAPLQX8sA/2xDCwDy0F/LAP9BcWBMohM91vLzHkc5ujoqILrL70z4uTkhCRJkoQJ2p2dnc2UQyIiIiIiIooJDLAtSKVKlVSQLbXWV65cwb179/Dnn39izZo1GDJkiN7ZIyIiIiIiogiwibgF6datGy5duqSais+dO1elycBmv/76K3r06BHu63x9fdWikSBda2YhiyWR/MgofJaWL2vCMtAfy8AysBz0xzLQH8vAMrAc9Mcy0F+QBZdBVPLEANuCSDCdNWtW1KxZE82aNVPNxZcvX45evXqpZueNGjUy+brx48dj9OjRYdJlkADpx2BpO6eXl5c6eCy1b0V8xzLQH8vAMrAc9Mcy0B/LwDKwHPTHMtBfkAWXgUzRFVkMsC3IhAkT1EBmN27cQKJEiVRa8+bNUblyZTVNV7169WBvH7bIpPl4//79w4xyJyPwWeIgZzI4gCWODmgtWAb6YxlYBpaD/lgG+mMZWAaWg/5YBvoLsuAykIrPyGKAbUF+//13VKlSxRhcaxo0aKAC6Lt37yJbtmwmB1aTJTTZMS1t5xRy4Fhq3qwFy0B/LAPLwHLQH8tAfywDy8ByiD9lEBgYCH9/f7Ply5oC7ICAAPj5+cXacSCVl9KK+HOjg0clPwywLcjTp0/VARmadoDKDkdERERERJZHmjY/efIEb9680TsrcZLh//tfS3PsyEyHZS4SYKdIkQJubm5m+VwG2DqRubKlj4H0uXZwcFBpOXLkwM6dO/Hy5Ut4eHioNAm4V65cqSY1l3WJiCiswKBAPPZ+DE8vT3i+9cRT76d46/sWXr5e8Prohbd+b9Vfbz9vBBn+G6jEz98PCRwSqP87OzjDzdENro6uatH+75HQA+ld0yO9W3qkc02HhA4JdfymRERkqbTgWoK1hAkTxmqQGF8C7ICAAFWrHBvbTvs86V4rsZmPj4+aHjm6GGDHABn1Ww6uR48eqccbN27EgwcP1P9lwDK5OyL9phctWoQ7d+4gU6ZM6rn//e9/aNu2LUqWLInu3burua9lkLPTp09j7NixxkCciMgaSWB85/UdXHp+CZeeXVJ/77y5o4LqR+8eIdAQtgVQTHB3dlcBdwa3DMidLDfypsiLvMnzInfy3Ay+iYislFSKacG1VlFGlh1ga6QiU7rbvnjxQpWf1GhHBwPsGDBlyhQ1h7VG5rGWRUgALQG2KW3atEGyZMnUqOCTJ09Wd1Ny5syp5sKWubGJiKypRvris4s44nkEJx6dwIWnF3DlxRV88P+gd9bwyueVWv59+i82Xt9oTLeBDTInzayC7WJpiqF0utIoma6kqgUnIqL4TevSKTXXFPe4uLioGZikHBlgWyAZjOxzFi5cqJbQZIouWYiIrIk05z50/xCOeh7FkQdHcOLhCdWcOzKSJ0yumm5LE27VlNs1PVInTo0kTklUM283p09NveX/iR0Tw87m0w+n9PN69uyZulttY2ujgnfJh2paLs3K/7+J+bP3z4xNzx+8faD+Pnz7EP5BIQewMcCA269vq0ULvCXolhpuCbZlqZCxArK6s7sPEVF8xWbhcZM5y40BNhER6dLc++zjs9h+azu23dyGow+OIiAo/IEcJVCVwDRfinyqhlgW+X8292yq7/SXkPe0s7VTi4wOqvW9jmz+JdjWmqprzdYvP7+M9/7vQwTdUhMvy5wzc1Ra1qRZUTNrTdTMVhOVM1VWQT8RERHFDwywiYgoVkiN8Kbrm7D5xmbsvLUTzz88D3fdtInTokz6Mp9qftOXRsGUBb84kI4Jtja2qg+2LLWz1w4ReEsN9rEHx1RtvNw4OP/0fIj+4bde38Lvp35Xi4Otg/qetbPVRpPcTZDdI7tO34iIiCjqRo0ahdGjR6v+0/QJA2wiIoox0tRamkuvurwK229uh2+gr8n1srtnR42sNVQTagmqpbl3XCSBt9Sqy9K2QFuVJk3dTz48icOeh7Hr9i71V6utl2bm++/tV8v/dv9P3UholqcZvsrzFXImy6nztyEiIooZy5YtU920+vbta7b3HDduHI4fP64Wee+RI0eqGwCxjQE2ERGZ1Xu/91hzZQ1WXl6JHbd2wC/QL8w6iRMkRtUsVT81lc5aUw0OFl8lSpAIlTNXVsvwCsPxzvcd9t7dq244SBN5qdHWyMBpsgzfOxz5U+RXwXabAm2QJWkWXb8DERGRuQPsixcvmjXAHj58OFKlSoXChQtj+/bt0AsDbCIiijZpGibNouefnY+/L/1tcoCy1IlSo2nupmiapynKpi8LBzvrnHpQ+lw3yNlALeLmq5tYd3WdquWXwd00F55dUMsP+35QfbU7F+6smpFzKjAiIqKwtOmPZbqt5MmTQy+2un0yERHFeU+9n2LKkSnI+3telJlfBnPPzg0RXKdJnAa9SvTCgY4H8KD/A8ysMxOVMlWy2uDaFGlOPqDMABzvehx3+9zFzzV+Rql0pUKsIzXe7da2Q+qfU+PrjV/j+IPj7O9GRESx6tChQyhevDicnJyQNWtWzJo1y+R6S5YsQdGiReHs7Ax3d3e0bNkSnp6exucrVaqEzZs3q2mNZfRuWSQwji5zvIc5sAabiIiiRAI7mZ96xokZqil46NG/pfl3i7wt0L5ge5TNUFb1S6bIyZgkI/qX7q8WmRps2YVlmH9uPq6/vG4cKG72mdlqKZCyAHqX6I3W+Vtb1ABwREQU/1y4cAE1atRQNcPSrzkgIED1cU6ZMmWYftAjRoxA8+bN0bVrVzW39MyZM1GhQgWcPXsWSZIkwbBhw+Dl5YUHDx5g6tSp6nWJEiUyvofUQEdm2qzEiRPD0dERloYBNhERRYr0pV5xcQWmH5+O049Ph3leBijrXKizGqDLJYGLLnmMT2Sgt8HlBmNQ2UHqhoY0v19xaYVxGjAZnbzrxq4YvGswvi76Nb4p/g3SuqbVO9tERBQP/fDDD+oG+8GDB5EhQwaV1rRpU+TPn9+4jtRIjxw5EmPHjsXQoUON6U2aNFH9on///XeVXr16daRNmxavX79G27afBgQVWsusFClSRCpPCxYsQMeOHWFpGGATEVGEnr1/hj9P/Yk/Tv2BJ95PQjyXwiUFuhTugk6FOnGKqRgid/GlJYAs02tPx6pLqzDr9Cwcf3hcPf/S5yV+OvQTJh2ZpPq49yvVDyXTldQ720REFIyf36cBPx0cHIy1s4GBgWqxtbWFvb19jK/7peS9ZNCwRo0aGYNrkTt3btSsWRNbtmxRj9esWYOgoCBVey210BoZeCx79uzYu3dviMA7PDt27IhUDXbevHlhiRhgExGRSQ/ePsDkw5Mx58wc+AT4hHiuSOoi6FOyj2oK7mhvec2z4vOI5J0Kd1KLDIgmrQlWXlqpmunLIjXcssigaMPKD0OVzFUidZFCREQx66efflJ/Bw4cCBeXT628Dh8+jD179qBIkSJo0ODTwJdi8uTJ8Pf3VyNsS5NqcfLkSWzbtk3VGEvNsWbatGn48OEDvvnmG2PN77lz57Bx40bkypVL9X+OLmnm7ePjo4Lk0HLmzGkMsG/cuKFqoU2tp90EiIxq1arF6d8uBthERBTC7de3MeHQBCw8t1DN06yRvtQyirUE1jIKeFz+8YsPSqQtgaVNlmJy9cn44+Qfqlb7+YfnxkHRZJHB0iTQrpu9LsuLiIhilNRe29jYYOvWrbCzswvzfPB+1hF58uRJpH6z3Nzc1EBqloYBNhERKVeeX1FNjZdfWI5AQ6AxXaaFkj6+fUv1RQa3/5qGkWWQkdp/rPIjhlUYhqXnl2LC4Qlq6i8hU6fVX14fBVMWVIG2TJHGQeeIiGKf1jQ6eC1u2bJlUapUKdWUOzip5Q69rozeLTXdodfV5pEOvm6hQoVUTXfodb+UDGwmgazUUId27do14/9lZHGDwYDMmTMjR44cEb5nRAF0mjRpIpUv9sEmIiKLdOf1HYzcNxJLzi+BAf9N/eTq6Irvin+nAuvkLvrNJ0mR42TvhC5FuqBjoY5qTu1xB8fh4rOL6rl/n/6L5qubq5HHf6ryE+pkr8MabSKiWJQgQYIwaVLLa6qmN6bW/VLyXtLXet26dbh//76xH/aVK1dU3+zgg5kNGTIEo0ePVlN1Bf+dkcD71atX8PDwUI+lmbyMJG4K+2ATEVGcncN67IGxqmlx8Kbg7s7uaqCs70p8hyROn/p+UdxhZ2uHlvlaonne5th4baMKtE8+Omkcebze8nqqif/4quNRPmN5vbNLRERxgATN0ge8fPnyqr+3TNMl029JkHv+/HljDfbYsWNVkH337l01KJpMpXXnzh2sXbsW3bt3x4ABA9S6Mk/2ihUr0L9/f1U7L83H69WrF60+2IsXL1YjmUufdHHgwAGVH9GuXTtkzJgRscHGoI2HTvHG27dvVZ8EuSvk6uoKS+ub8ezZMzUIg7marVDUsAz0p3cZvPn4BlOOTMG0Y9OMUz6JpE5JMbjsYHxb4ls1mFZ8p3c5xBb5md9xaweG7x2OU49OhXhOarLHVRmHQqkK6ZI3aykDS8YysAwsh7hfBh8/flSBpDSPdnJyQnwkAasExDIndrp06TBo0CA8fvxYBd/BQ8o1a9ao+a1l3muRPn16VK1aFb179zY2HX///r0KuGWAtDdv3qjgV7afBO4y8vmXBNiVKlXC/v37TT4nI5jL819aflGJrxhgx0MMsCkiLAPrLQP/QH/8fvJ3jN4/Gq8/vg7Rx1pqrAeUGWBVNdbWdizIz/2aK2tUoH31xdUQz7Ut0FbVaKdzTRerebK2MrBELAPLwHLQHwNsy/idCohGgB0d5gyweQQTEVmBrTe2osCfBdB3e19jcO1g64BeJXrhdu/bGFtlrFUF19ZILlZkkLMLPS9gfoP5IQask/73OX/NiTH7x+CD/6emdURERBR1DLCJiOIxqamss7QO6iyrE6LWUmosr313DTNqz0DKRCl1zSPFLntbezWP9vXvrmNqzamqz72QwFoGu8v1ay78ffHvEM39iIiIKHIYYBMRxUOvfV6j77a+yP9Hfmy9udWYXiZ9GZzoegKLGy9G5qSZdc0j6cvR3lGNEH+j1w30LtEbdjafRpz1fOuJVv+0QvkF5XH60Wm9s0lERBSnMMAmIopHpNZRmvvm+i0Xph+fjoCgAJUufWuXNVmGQ50OoXja4npnkyyI1GBPrz1dNR2vla2WMf2w52EUn1Mc3235Dl4fTU+lQkRERCExwCYiiiekCXjVv6qi3dp2ePb+mUpztnfGqIqjVHPwVvlbce5jClfu5Lmxtc1WbG69GTk9cqo0mRf9t5O/qRs2yy8sZ7NxIiKiz2CATUQUx/n4+2DEnhEo8EcB7L2715jeNHdTFViPrDRSjRROFBkydZfUZk+uPtm43zzxfoLWa1qjxpIauPHyht5ZJCIislgMsImI4rDtN7cj3x/5MPbgWPgH+au0TEkyqVrI1c1XI71ber2zSHGQg52DmrbtyrdX0ChXI2P6rtu7VL/+0ftGwzfAV9c8EhERWSIG2EREcXQQs47rOqLW0lq4/fq2cdqtoeWG4tI3l1QtJFF0yVRea1usxfqW643TevkG+mLU/lEoOrsoTjw8oXcWiYgsCrvSxE3mLDcG2EREccz6q+uR5/c8WPTvImNahYwVcK7HOYyrOo7NwcnsGuRsgMvfXMagMoPUNF/i0vNLKD2vNAbtHKS6KRARWTMHBwf198OHD3pnhb7A+/fv1Tg1WjlGx6dfSSIisngvPrxAr6291BzFGldHV/xc42d0KdyFA5hRjHJJ4IKJ1SeiTYE26LS+E848PoMgQxAmH5mMdVfXYX7D+SiXoZze2SQi0oWdnR2SJEmCZ88+DTKaMGFC/i5/QS1yQEAA7O3tY2XbaZ/39u1btUj5STlGFwNsIqI4YNWlVfh2y7d4/uG5MU2agc+qN0tNwUUUWwqkLIDjXY9jypEpGLlvJPwC/XDj1Q1UWFAB35X4DuOrjlfBOBGRtUmVKpX6qwXZFPWANygoCLa2trF6c0KC6tSpU8PNzc0s78cAm4jIgr3yeaUC6+C11kmdkmJG7Rlok78N746TLqSZ+P/K/Q8NczZE5w2dcezBMTWl18wTM7H15lYsbrwYpdKV0jubRESxSn6TJVBLkSIF/P0/DTxKkSfB9cuXL+Hh4aGC7NggteUSYJvzeooBNhGRhdp5ayc6ru+IR+8eGdOa5G6C3+r8hlSJPt0lJ9J77uxDnQ6pwHro7qHwCfDBzVc3UXZ+WQwrPwwjKoxQI5ITEVkTCdjM0dTYGgNsBwcHODk5xVqAHRPibs6JiOKpD/4f0HtrbzXnsBZcJ3FKguVNl2N1s9UMrsmi2NnaoW+pvjjf87yx1lr6Zv944Ec1CNqV51f0ziIREVGsYYBNRGRBTj06hSKziqgaQU31LNVxsedFtMzXkk3CyWJlc8+Gg50OYmzlscaRxk8/Po0is4tg5vGZKugmIiKK7xhgExFZgMCgQPx08CdV43ft5TWV5mTvhBm1ZmBb221I65pW7ywSfZYE1sMqDMOxLseQK1kulfYx4CN6b+uN2ktr44n3E72zSEREFKMYYBMR6UyagUtz8GF7hiEgKEClFU1dFGe/PoteJXvB1oanaopbiqYpijPdz6B3id7GtB23dqDgnwXVXyIioviKV21ERDrafH2zCjr23NmjHtvARg0OdbTLUWMNIFFc5OzgjOm1p2NH2x1InSi1Snv2/hlqLqmJQTsHqem9iIiI4hsG2EREOvAN9MX3O75HveX18OLDC5WWJnEa7OmwB2OrjOXIyxRvVM9aHf/2+FfN266ZfGQyys0vh9uvb+uaNyIiInNjgE1EFMtuvLyB+uvqY9rxaca0+jnqqyCkUqZKuuaNKCYkd0mOja024pcav8DB9tPNo5OPTqoB0NbeXKt39oiIiMyGATYRUSxadWkVis8tjgsvLqjHCewSqIHM1rdcj2QJk+mdPaIYI2MJ9CvdT3V/kBHHxTu/d/hm9zfoubmnGgyNiIgormOAbWbe3t4YOXIkatWqBXd3dzWlzsKFC6P0Hrt27UKVKlXg5uaGxIkTo2jRolixYkWM5ZmIYp70N+2ztQ+ar26uggqR0yMnjnc9rgYy4/RbZG0DoLUr0M6YNvvMbJSdX5ZNxomIKM5jgG1mL168wJgxY3DlyhUULFgwyq9fsGABatSoAQcHB/z000+YPHkyKlSoAE9PzxjJLxHFvPte91FhQQXMODHDmNYkWxOc6HoChVIV0jVvRHpI7JgYfzX+C3Prz4WTnZNKO/P4jJoDft3VdXpnj4iI6IvZf/lLyZTUqVPj8ePHSJUqFU6dOoXixYtH+rV3797Ft99+i169emH69Okxmk8iih1bb2xF27Vt8crnlbFJ+LSa09AoXSMkSpBI7+wR6apToU7I7JgZPfb0wI1XN+Dl64XGKxpjQOkB+KnqTxzsj4iI4hzWYJuZo6OjCq6/xJ9//onAwEBVA641NzcYDGbOIRHFhsCgQIzYMwJ1ltUxBteZk2TGkc5H8HXRr9kknOj/5fHIo1pzNMvTzJg25egUVPmripojnoiIKC5hgG1BpO91rly5sGXLFqRLl071v/bw8MCIESMQFBSkd/aIKJIkoK67rC7GHhxrTGuYsyFOdz+t+p8SUUiujq5Y8dUKNeCfNsr4ofuHVJNx+UtERBRXsIm4Bblx4wbs7OzQqVMnDBo0SPXhXrNmDcaOHYuAgACMHz/e5Ot8fX3Vonn79q36K0G5pQXmkh+plbe0fFkTlkHM+vfJv2i6qinuvLmjHtvZ2GF81fHoX6q/qrXWjkuWgf5YDpZVBra2tvi2+LcolqYYWqxuAc+3nnj6/ikqL6qspvf6ptg3bPkRA3gcWAaWg/5YBvoLsuAyiEqeGGBbEGkSLoU3YcIEDB48WKU1bdoUr169Un2yhw4dqmq1Q5PAe/To0WHSnz9/jo8fLWvaE/l+Xl5e6uCRiymKfSyDmPPPjX8w4MAA43RDHk4emF19NsqkKaOORw3LwDKwHCyzDDI7ZMaWRlvQc1dPHHp0CAFBAei9rTcO3j6IieUnwtneWe9sxys8DiwDy0F/LAP9BVlwGbx792kGmMhggG1BnJ2d8f79e7Rq1SpEujzetm0bzp49q0YUD23IkCHo379/iBrs9OnTI3ny5HB1dYWlHThSAyF5s7QDx1qwDMzPP9Afg3cPxvTj/w1OWCJNCaxqtgrpXNOFWZ9lYBlYDpZbBimQArs77cbQPUPx89GfVdqq66tw6+0trG62GhmTZNQx1/ELjwPLwHLQH8tAf0EWXAZOTp9mvIgMBtgWJE2aNKqZeMqUKUOkp0iRQv19/fp1uAOryRKa7JiWtnMKOXAsNW/WgmVgPs/eP0PzVc2x/95+Y1rXwl0xs85MONmHfzJmGVgGloPllkEC2wSYUmMKiqcpjs4bOuOD/weceXIGxecWV/21q2apqlue4xseB5aB5aA/loH+bCy0DKKSH8vKuZUrWvTT4EcPHz4Mkf7o0adRVOVuDhFZjnNPzqH4nOLG4FoGZ5pVbxbmNJgTYXBNRJHXIl8LHOtyDFmTZlWPX/q8RM0lNTHj+AzOtEFERBaHAbZOZK7sq1evwt/f35jWokUL9XfevHkhmkosWLAA7u7uxgCciPS3+vJqlJ1fFve97qvHaRKnwf6O+9G9aHe9s0YU7+RPmR8nu51Enex11ONAQyD6bOuDbhu7wTfgv0E+iYiI9MYm4jHg119/xZs3b4w1zxs3bsSDBw/U/3v16gU3NzfVb3rRokW4c+cOMmXKpJ5r2LAhqlatqgYte/HihRpFfN26dTh06BBmzZplshk4EcWuIEMQRu8bjTEHPs1XL0qmLYm1LdYideLUuuaNKD5L6pwUG1puwLA9wzDx8ESVNu/sPFx9cRVrWqxBCpdP3amIiIj0xAA7BkyZMgX37t0zPpaptmQRbdu2VQF2eH0OJKAePnw4VqxYgYULFyJnzpxYsmQJ2rRpE2v5JyLTvP280WFdB6y58ul4Fu0KtMPs+rPZJJwoFtjZ2mFCtQnInyI/um7sqkbsP+x5GMVmF8OGVhtQKFUhvbNIRERWjk3EY8Ddu3dVvzBTi1ZbLcFz8MeaRIkSYdq0aaoJucxtff78eQbXRBbg7pu7qkm4Flzb2thiSvUpWNRoEYNroljWpkAbHOh4QHXNEDJndpl5ZbDq0iq9s0ZERFaOATYR0Wcc8TyCEnNK4PzT8+qxq6MrNrXahO/LfK9anhBR7CuetjhOdTulumgInwAfNF/dHGMPjOXgZ0REpBsG2EREEVh2YRmqLKqC5x+eq8fZ3bPjeNfjqJ29tt5ZI7J6Mu7Bvo770L5ge2PaiL0j0G5tO9V8nIiIKLYxwCYiCmcwsx/2/oA2a9rAN/DTKMVVMldRwXWuZLn0zh4R/T/porGw4UJMqDrBmLb0wlJU/auqmqeeiIgoNjHAJiIKxcffB63+aYUfD/xoTOtWpBu2tdmmRjImIssiXTUGlxuMf5r/A2d7Z2PXjpJzS+LSs0t6Z4+IiKwIA2wiomCeeD9BpUWVsPLSSvXYBjb4pcYvmFVvFhzsHPTOHhFFoEnuJjjY6aBx8DMZnLDM/DLYfnO73lkjIiIrwQCbiOj/XXx2UdV4nXh4Qj12cXDB+pbr0a90Pw5mRhRHFE1TFCe6nkDhVIXV47e+b1FnWR38eepPvbNGRERWgAE2ERGAXbd3qWm47nvdV4/Tu6bH4c6HUT9nfb2zRkRRlNY1rarJbpSrkXFMhZ6be2LQzkHq/0RERDGFATYRWb35Z+ej9tLaqqZLFEtTDCe6nUDBVAX1zhoRfSGXBC6qT/aA0gOMaZOPTEaL1S3UOAtEREQxgQE2EVktmSt3+J7h6LKhCwKCAlRaw5wNsa/DPqRKlErv7BFRNNna2GJyjcn4o+4f6v9i9eXVaoTx5+8/Tb1HRERkTgywicgq+Qb4qim4xh0cZ0zrU7KPqvGSmi8iij96FOuBja02qnEVxNEHR1FqXilce3FN76wREVE8wwCbiKzOK59XqL64OpZfXG4cKXx6remYVmsa7Gzt9M4eEcWAOtnrhBhh/Pbr2yg9rzQO3juod9aIiCgeYYBNRFZFpu2RwcwO3v90US1z5q5tsRa9S/bWO2tEFMMKpy6M412Po0DKAurx64+v1c22VZdW6Z01IiKKJxhgE5HVOPv4rKqxuvriqnqcwiUF9nfcj4a5GuqdNSKKJelc06ma7JpZa6rHvoG+auCzqUen6p01IiKKBxhgE5FV2H5zOyosrIAn3k/U45weOXGsyzEUT1tc76wRUSxzdXRVfbI7FeqkHhtgQP8d/dFvWz9O40VERNHCAJuI4r2F5xai7rK68PbzVo/LpC+j5rjOnDSz3lkjIp042DlgXoN5GFlxpDFt2vFpaLm6JT4GfNQ1b0REFHcxwCaieD0N14/7f0Sn9Z0QaAhUaU1yN8GudrvgkdBD7+wRkc5sbGwwqtIozKk/B3Y2nwY4XHV5leqXLYMhEhERRRUDbCKKl2Re6x6beuCHfT8Y03qX6I2VX62Es4OzrnkjIsvStUhXbGi1AQkdEqrHh+4fQrn55XDf677eWSMiojiGATYRxTs+/j74auVXmH1mtjFtSvUpnIaLiCKcxksGPZTBD8WVF1dQZl4ZXHx2Ue+sERFRHMIAm4jiFWnWWW1xNay/tl49drB1wLImy/B9me9Vc1AiovAUS1MMR7scRTb3bOrxw3cPVU32gXsH9M4aERHFEQywiSje8PTyRPkF5XHE84h6nDhBYmxtsxWt8rfSO2tEFEdkSZpFDYJYPM2nGQa8fL1QY3ENrLmyRu+sERFRHMAAm4jiBWnGKXNcX35+WT1O6ZJSNfesmqWq3lkjojhGmonv6bAHtbLVMs6VLd1O/jj5h95ZIyIiC8cAm4jivIP3Dqqaa2nOKbK7Z8eRLkdQOHVhvbNGRHFUogSJsKHlBrQv2N44V/Y3W77BD3t/UDMUEBERmcIAm4jitPVX16spdd58fKMeS7NOad4pzTyJiKI7V/bChgsxuOxgY9qPB35UMxQEBn2a+o+IiCg4BthEFGfNPzsfTVY2Uc03Rc2sNVWzzuQuyfXOGhHFEzI44oRqEzCt5jRjmsxQ0Hx1c3wM+Khr3oiIyPIwwCaiOEeaZ044NAFdNnRBkCFIpbXJ3wYbW21UzTqJiMytT6k+akYCmZlAyKBntZfWhtdHL72zRkREFoQBNhHFKRJQ99/eH0N2DzGm9SvVD381/ks15yQiiikyI8Gm1pvg4uCiHu+7uw+VFlXCE+8nemeNiIgsBANsIooz/AL90H5te0w7/l9TzQlVJ+DnGj/D1oanMyKKeTWy1lBdUTycPdTjc0/Ooez8srj16pbeWSMiIgvAK1IiihPe+71Hw78bYumFpeqxBNTzGszD4HKDVR9JIqLYUiJtCRzqfAgZ3DKox7df31ZBtgTbRERk3aw6wPb29sapU6ewbds2bN++HadPn8a7d+/0zhYRhfLK55UaKXzbzW3qsZO9E9a2WIvOhTvrnTUislK5kuVSMxbkSZ5HPX76/ikqLqyopg0kIiLrZQ8rc+fOHSxatAjr16/HxYsXERT0aYAkja2tLfLmzYtGjRqhffv2yJKFU/0Q6enh24eouaQmLj2/pB67ObqpwczKZyyvd9aIyMqlc02Hg50Oot6yejj64Cje+r5FjSU1sKrZKtTLUU/v7BERkQ6spgb78uXL+Oqrr5AtWzbMnDlTBc6jR4/G0qVLsWXLFmzevBlLlixRaVmzZsWvv/6K7Nmzq9dcuXJF7+wTWaUbL2+g3IJyxuA6pUtK7O+4n8E1EVkMd2d37Gy3E7Wy1VKPZequRn83wl///qV31oiISAdWU4NdsGBB1K1bVwXS1apVg719xF89ICAAu3btwp9//qle6+fnF2t5JSLg7OOzqLW0Fp69f6YeZ06SWV3EZnXPqnfWiIhCcEnggvUt16Pjuo5YfnE5Ag2B6LCug+re0rdUX72zR0REschqAuzz588jd+7ckV5fAvBatWqp5erVqzGaNyIK6cC9A6i/vL5qbinyp8iP7W23I3Xi1HpnjYjIpAR2CbCkyRJVo/3byd9UWr/t/fDiwwv8WPlHDsZIRGQlrKaJeFSC69By5cpl1rwQUfg2Xtuo+lxrwXWZ9GVUs3AG10Rk6WR2g5m1Z2JkxZHGtHEHx6Hn5p4IDArUNW9ERBQ7rCbAJiLLt/jfxWi8orHqwyhqZ6utmoUndU6qd9aIiCJFaqpHVRqlAm3NrNOz0GZNG/gFsrsZEVF8ZzVNxIP78OEDdu7cicOHD6vBz168eKF+EJMlS6ZqusuWLav6abu4uOidVSKrMeP4DPTZ1sf4uFW+VljYaKFqdklEFNd8V+I71Vxc+mIHBAVgxaUV8PL1wupmq1WfbSIiip+sqgb7woUL6NixI1KlSoXGjRvjt99+w82bN1VwbTAYcP36dTV6uDwn68i68hoiijly7I3aNypEcP1t8W9VX0YG10QUl7XO3xrrWqyDk72Terzt5jY1jddrn9d6Z42IiGKI1QTYLVq0QOHChdWAZaNGjcK///6Lt2/fqsdHjx7FsWPHcO3aNbx79049J+vIY3lNq1atIv053t7eGDlypBoczd3dXQXvCxcu/KI8d+vWTb2+Xj3OpUnxU5AhSAXWo/ePNqaNqDBCNa2UvoxERHFd3Rx1saPtDrg6uqrHRzyPoOLCinj87rHeWSMiohhgNVewtra2OHXqlAqk+/fvj/z588POzi7MepImz33//fcq8JbXRIU0Nx8zZoyaO1um9/pS8rkSmDs5fbrrTRTf+Af6q6aTM0/8109xas2pGFN5DEfbJaJ4pXzG8tjXYR+SJ0yuHl94dgHlF5THndd39M4aERGZmdUE2MuXL0ehQoWi/Dp5jbw2slKnTo3Hjx/j3r17mDx5Mr60yWzv3r3Rvn17pEyZ8oveg8iS+fj7oMnKJlhyfol6bGdjh4UNF3K+WCKKtwqnLoxDnQ8hg1sG9fjW61soO78sLj67qHfWiIjIjKwmwI4tjo6Oqv92dCxevBgXL17EuHHjzJYvIksh02/VXlobm65vUo8d7RzxT/N/0KFQB72zRkQUo3J45MDhzoeRK9mn6T8fez9WzcWPPziud9aIiMhMrDrAlv7WU6dORcOGDVGiRAmUKlVK9bdeunQpgoKCdMvT4MGDMXTo0GgH6kSW5vn756i8qDL239uvHidKkAhb22xFw1wN9c4aEVGsSOeaDgc7HUSxNMXU41c+r1D1r6rYfXu33lkjIiIzsMppusSdO3dQtWpV3L17V03PlTFjRtVPe9++fVixYoUaTXzLli1ImjR259+V/tvOzs7o169fpF/j6+urFo0M3ibkJoFeNwrCI/mRJvCWli9rolcZeHp5otbSWrj68qp67OHsgc2tN6N4muJWtz/wOLAMLAf9WWsZuDu5Y2fbnWi8ojH23duH9/7vUWdZHSxvshyNcjWK1bxYaxlYGpaD/lgG+guy4DKISp6sNsDu0qWLmg97/fr1qF+/fojn1q5di9atW6sg90tHAP8SMk3Y9OnTVZ9vaWoeWePHj8fo0f+Nwqx5/vw5Pn78CEvbOb28vNTBIzc0yDrK4LbXbTTf1BwPvR+qx6ldUmN53eXIaJ8Rz549g7XhcWAZWA76s/YymF9tPnrs6oEd93bAL9APzVc3xy+VfkHzHM1jLQ/WXgaWguWgP5aB/oIsuAyklXFkWW2AfeLECTWaeOjgWsg82AMGDFC12LGpT58+KFOmDJo2bRql1w0ZMkR9l+A12OnTp0fy5Mnh6vppWhBLOnBkhGjJm6UdONYitsvg3JNzaLyxMZ69/xRIZ02aVU1ZkylJJlgrHgeWgeWgP5YBsKHNBnTZ2AVLLyxFoCEQffb2gSGBAb1K9IqVz2cZWAaWg/5YBvoLsuAyiMrMTlYbYFevXh1jx4797EBiwafykgIPCAiIkfzs2bMH27Ztw5o1a1SzdY18no+Pj0qTebVNBcxS222qxlt2TEvbObXtaKl5sxaxVQaH7h9CvWX14OXrpR4XSFkA29tuR6pEHF+Ax4FlYDnoz9rLwNHWEX81/gtJnZLi15Ofbuz33d4Xbz6+wQ8Vf4iVaQutvQwsBctBfywD/dlYaBlEJT9WG2CvXLlSNQ+/ceMG/Pz8TNZw79y5E8OGDYuV/Ny/f1/9bdKkSZjnHj58iMyZM6sB2fr25TRGFDdsu7kNTVY0gU+Aj3pcOl1p1ec6qXPsjmtARGTpbG1sMaP2DLg7u2PMgTEqbdT+UWoAtKm1pqrniYgobrDaALtkyZKq+cGGDRvC1P7KgGFSw507d26MHDkyRj5f5sqWPgZZs2aFg4MDqlSpovp+h9a9e3c1AJsE+vnz54+RvBCZ28pLK9F2TVv4B/mrxzWy1sCa5mvgksBF76wREVlsrc3oyqPVTch+2z8NdDrjxAzVAmhug7mwt7XaSzYiojjFas/W0m+5RYsWyJEjB9q3b49s2bKpDvW3bt3CkiVL8ODBA6xbt+6L3lv6br958waPHj1Sjzdu3KjeT/Tq1Qtubm7q8xctWqRGM8+UKRMyZMigltCkxjplypRo1Ch2RxUl+lJzTs/B15u+hgEG9firPF9hSeMlcLSP/MB9RETWqm+pvnBzdEPXjV0RZAjCon8XqSB7edPlcLKPfB9AIiLSh9UG2M2aNVP9m4cPHx6mH3bhwoUxZ84cVKtW7Yvee8qUKbh3757xsfSrlkW0bdtWBdhE8dGkw5MweNdg4+MuhbtgVr1ZsLP9bywDIiKKWKfCneDm5IZW/7RSo4uvu7oOdZfVxboW65DYMbHe2SMiogjYGKTa1spJ/2epbZbmWVKbLDXGcZmMIi5BvDRBt8RRxGVaphQpUljc4AXWIibKQE4jQ3cPxYTDE4xpA0oPwKTqk2JlgJ64hseBZWA56I9lELFdt3eh0d+N1DzZokTaEtjSegs8EnqY7TNYBpaB5aA/loH+giy4DKISX1lWznUiTbNLlSql+mXH9eCaKLYFBgWi5+aeIYLrcVXGMbgmIoqmalmqYVf7XWqEcXHi4QlUXFgRj9596oJGRESWx2oC7OXLl6tatqiS18hriSgsabrYZk0bzDo9Sz22gQ1+r/M7hpYfyuCaiMgMSqUrhf0d9xunN7z0/BLKzS+HW69u6Z01IiKy5gBbBguTAc0mTZqkBhb7nJs3b+Knn35Sg5/16/dpNE8i+s8H/w+q6eKKSyvUYxnhdkmTJehZvKfeWSMiilfyp8yPQ50OIXOSzOrxnTd3UG5BOVx4ekHvrBERkbUOcnb79m1MmzYNP//8sxrBW/paFylSRM0vnTRpUlVT/fr1axV8nzp1Cp6envDw8EDv3r0ZYBOF8ubjG9RfXh+H7h9Sj2Vk29XNVqNujrp6Z42IKF7K6p4VhzofQo3FNVQt9hPvJ6q5+JY2W1QtNxERWQarCbBdXFzUXNKDBw9W02atX78eR44cUaN7a03HpUmrzEtdsWJFNGzYEPXr11dzVBPRf556P0WtpbVw7sk59djV0RUbW21EhYwV9M4aEVG8liZxGtVcvM6yOqo/9uuPr1H1r6pqdPHqWavrnT0iIrKmAFtjb2+Pxo0bq0UEBgbi1atX6v/u7u6ws+N0QkThuffmHqovro4br26ox8kSJsP2tttRJHURvbNGRGQVZATx3e13qy46u+/sVt116i2vh2VNlqFpnqZ6Z4+IyOpZTR/s8EhAnTx5crUwuCYK35XnV1SfPy24Tu+aHgc7HWRwTUQUyxIlSITNrTejca7GxgEnm69ujvln5+udNSIiq2f1ATYRfd6pR6dQfkF5PHj7QD3O4ZFD9QXMlSyX3lkjIrJKjvaOWNlsJToW6qgeBxmC0GVDF0w5MkXvrBERWTWraiJeoECBKK0vNdoykXjevHnRrl07lC5dOsbyRmSp9t7ZiwZ/N4C3n7d6XDhVYWxruw0pXFLonTUiIqsmszfMazAP7k7u+OXYLypt4M6BePnhJX6q+hOnSyQi0oFVBdjSxzoqPzYy+Nm7d++waNEizJo1C4sXL0br1q1jNI9ElmTd1XVosbqFan4oZCCzDS03wM3JTe+sERGRNEW0scWUGlNU3+xhe4aptAmHJ+CVzyv8Xvd32Nmy+xsRUWyyqgB73759X/Q6b29v1KxZE+PGjWOATVZjwdkF6Lqxq2p2KOrnqI8VX62As4Oz3lkjIqJgpPJgaPmhSOqUFN9u+RYGGDD7zGw1yviSJkuQwC6B3lkkIrIa7IMdCYkSJVJNxK9fv653VohixS9Hf0HnDZ2NwXW7Au3wT/N/GFwTEVmwnsV7YlnTZarpuFh1eRXqL69v7OJDREQxz2oCbE9Pz2i9tkmTJti1a5dZ80RkaaRbxNDdQ/H9ju+Nab1L9MbCRgvhYMc54YmILF3LfC1VVx5n+083RHfc2oFqf1VT/bKJiCjmWU2AnS1bNnTu3BknTpyI9GuOHDmC9u3bI3v27EiRIgUqVqwYo3kk0lNgUCC+3vQ1xh8ab0wbVXEUptWapvr4ERFR3FA7e23sbLcTSZySqMfHHx5HhYUV8PDtQ72zRkQU71lNH+yDBw9i+PDhKFWqFDJmzIgqVaqgSJEiyJw5M5ImTapq7l6/fo07d+7g1KlT2LNnDx4+fIjKlSvjwIEDemefKEb5BviizZo2+OfKP+qxDWzwa51f8U3xb/TOGhERfYGyGcpif8f9qLmkJp54P8Hl55dRZn4ZFXjLVItERBQzrCbALlGiBHbs2IFz585hwYIFWL9+vfortJHFJcgW6dOnR6NGjVSNd6FChXTNN1FMe+f7Do1XNMbuO7vVY+m7t7jxYtXMkIiI4q4CKQvgcOfDqLG4Bm69voX7XvdRbn45bG2zFUXTFNU7e0RE8ZLVBNgaCZinT5+ulkePHuHq1at4+fJTvyQPDw/kypULadKk0TubRLHi+fvnqLOsDk49OqUeJ3RIqAYzq5Wtlt5ZIyIiM8iSNAsOdT6EWktq4d+n/+L5h+eovKgy1rdcj8qZK+udPSKieMfqAuzgJJBmME3WSmoyai2thWsvr6nHMr3L5tabUTp9ab2zRkREZpQqUSrs67gPDZY3wMH7B/HO7506/y9vuhyNcjbSO3tERPGK1Y5clCVLFmzYsCHc5zdt2qTWIYqPrr26hnILyhmD6zSJ0+Bgp4MMromI4ikZ8Gx72+2on6O+euwX6Idmq5phzpk5emeNiChesdoA++7du/D2Dn9eSHnu3r17sZonothwxPMIGm1ohIfvPo0mm909u+qjlzdFXr2zRkREMcjZwVl1A+pQsIN6HGQIQo/NPTD1zFTjODRERBQ9VhtgBx/czJSTJ08iSZJP01sQxRebr29GjSU18Mb3jXpcNHVR1TcvU5JMemeNiIhigYOdAxY0XICBZQYa0yadnIQ+2/uogJuIiKLHqvpga4ObacF13759MWzYsDDreXl54c2bN2jdurUOuSSKGYvOLUKXDV0QaAhUj6tmroq1LdYisWNivbNGRESxSK6BJlWfhBQuKTBw56dA+7eTv+Glz0ssarQICewS6J1FIqI4y6oC7BQpUiBv3rzGJuJp06ZVS+gfHRcXFxQtWhTffMM5gCl+mHx4MgbtGmR83DBrQyxvvhzOCZx1zRcREelnQJkB8HD2QLeN3dTN178v/o2XH15iTYs1SJQgkd7ZIyKKk6wqwG7VqpVaROXKlTF8+HBUrVpV72wRxRhp7jdo5yD8fPRnY9q3xb/F0MJD4WjvqGveiIhIf9If297PHl/v+ho+AT7YeXunmsZLZpWQGm4iIooaq+2DvXfvXgbXFK/JCLHt1rYLEVyPqTQG02tOh62N1R76REQUSvWM1bGj7Q410rg49egUys4vi9uvb+udNSKiOMeqr7Lfvn2LCRMmoGbNmihcuDBOnDih0l+9eoVffvkFN2/e1DuLRF/kne871FtWD8suLFOPJaCeVW8WRlQcEeHgfkREZJ3KpC+DQ50OIZ1rOvX45qubKD2vNM48PqN31oiI4hSrDbAfPHigguoffvhB/f/8+fPGabvc3d0xa9YszJw5U+9sEkXZU++nqLSokmrmJ5zsnbCm+Rp0L9pd76wREZEFk+kaj3Q+gjzJ86jHz94/Q8WFFbHr9i69s0ZEFGdYbYA9cOBAvHv3DufOncP+/fvDzP/YqFEj7NrFHxSKW6TGocz8MsYah6ROSbGr3S40zNVQ76wREVEckN4tPQ52OohyGcqpx95+3qiztA6WX1iud9aIiOIEqw2wd+zYgd69eyNPnjwmm8xmyZIFnp6euuSN6EucfnQ6RJ+59K7p1RzXZTOU1TtrREQUh7g7u6s+2Q1zfro56x/kj9ZrWuOXo7/onTUiIotntQG2j48PkidPHu7zUrtNFFdsvbFVNeOT5nwib/K8ONLlv2Z+REREUeHs4IzVzVeje5H/uhd9v+N79NvWT81QQUREplltgC011wcOHAj3+XXr1qk+2kSWbv7Z+ai/vD7e+79Xj8tnKK+a92kD1RAREX0Je1t7/FnvT4yuNNqYNu34NLRc3RIfAz7qmjciIktltQF237598ffff2PixInw8vJSaUFBQWrk8Hbt2uHo0aPo16+f3tkkCpeMGzB632h02dAFgYZAlfZVnq+wo90OJHVOqnf2iIgoHpBudD9U/AFz68+FnY2dSlt1eRVqLqmJ1z6v9c4eEZHFsYeVatu2Le7du4fhw4dj2LBhKq1WrVoqaLG1tcVPP/2kBjojskQBQQHouakn5p6da0zrU7IPfqn5C+e4JiIis+tSpAtSJ06NZqua4YP/Bxy4d0CN+7Gt7TZkcMugd/aIiCyG1QbYQgJrCbTXrFmjaq6lBjtr1qxo0qSJGuSMyBLJiK4tVrfAlhtbjGk/1/gZ/Uv31zVfREQUv9XJXgf7O+5H3WV11ZgfV15cQam5pbC1zVYUTFVQ7+wREVkEqw6wRcaMGdkUnOKMJ95PVH/rU49OqccJ7BLgr0Z/oUW+FnpnjYiIrECxNMVwtMtR1FpSCzde3cBj78cov6C8GhCtRtYaemePiEh3VtOWVJp929nZRXkhshSXn19WNQVacO3m6IbtbbczuCYioliVJWkWNVNFybQl1eN3fu/UXNky6CYRkbWzmhrsH374Icx812vXrsWlS5dQs2ZN5MyZU6VdvXpVzZGdL18+9sEmi7H3zl40XtEYXr6fBuST/m5bWm9B3hR59c4aERFZoWQJk2FPhz1os6YN1l1dpwbblEE3b7++jR8r/xjmmouIyFpYTYA9atSoEI9nz56NZ8+e4eLFi8bgWnPlyhVUqVIFadKkieVcEoW1+N/F6qLFP8hfPS6Sugg2tdqkBpshIiLSS0KHhFjdbLWaH3v68ekqbdzBcbj75i7mNZgHR3tHvbNIRBTrrKaJeGiTJ0/Gd999Fya4Frlz51bPTZo0KUrv6e3tjZEjR6rRyN3d3dXd24ULF0bqtbt370bnzp2RI0cOJEyYUA2y1rVrVzx+/DhKeaD4Q0a0H7N/DNqva28Mrutmr6sGmGFwTURElsDO1g7Tak3DtJrTYINPtdZLLyxFraW1OI0XEVklqw2wHzx4AAcHh3Cfl+dknah48eIFxowZo2rACxaM2miagwcPxr59+9C4cWPMmDEDLVu2xMqVK1G4cGE8efIkSu9FcZ9foJ+qtR65b6QxrWexnljXch0SJUika96IiIhC61OqD9a0WANne2f1eN/dfSgzvwzuvL6jd9aIiGKV1QbY0sf6999/x8OHD8M8J4G1PJc/f/4ovWfq1KlVjbPMry015FHxyy+/qKnCJk6cqGquZR7uTZs24enTp/j111+j9F4Ut8kdfxmddcG5Bca0ydUn47c6v8He1mp6dRARURzTKFcj7O2wF8kTJlePr764ipJzS+Ko51G9s0ZEFGus9mp96tSpanAzaZIttcbZsmVT6Tdu3MC6detU89wlS5ZE6T0dHR2RKlWqL8pPhQoVTKZJU3OpESfrcPPVTdRbVg/XXl5Tjx3tHLG48WI0y9tM76wRERF9Vsl0JXGs6zE1qrj8lj3/8ByVF1XGokaLOOsFEVkFqw2wy5Urh+PHj2PEiBFqNHEfHx+V7uzsrALv0aNHR7kG29ykT7csyZIl0zUfFDsO3T+ERn83wkufl+qx1ABsaLUBpdKV0jtrREREUZrGS+bKbrqyKfbe3QvfQF+0/Kelmjd7WPlhHGGciOI1qw2wtWbiElwHBQXh+fPnKi158uRqzmxLMG3aNPj5+aFFi4jv+Pr6+qpF8/btW/VXvpcslkTyI60DLC1fepMBYbpu7Kr6Xos8yfJgQ8sNyJw0s9m3FctAfywDy8By0B/LIP6WgZujm5pO8pst3xi7PI3YOwLXX17HrLqzOMJ4KDwW9Mcy0F+QBZdBVPJk1QG2RgLqlClTwpIcOHBA1aI3b95cTRkWkfHjx6t1Q5ObBh8/foSl7ZxeXl7q4LGUGxl6ku3w8+mf1aKpkK4CZlebDRd/FzWVnLmxDPTHMrAMLAf9sQzifxmMKzEOaRzTYNzxcerx4vOLceP5DcyrMQ/uTu5m/7y4iseC/lgG+guy4DJ49+5dpNdlgG2Brl69qvqFSw373LlzP7v+kCFD0L9//xA12OnTp1e18a6urrC0A0eahllSSwG9+Pj7oMvGLlhxaYUxraNw6yMAADZFSURBVFuRbphZayYc7MIf4T66WAb6YxlYBpaD/lgG1lEGY2qMQYF0BdBhfQd8DPiIY4+PocGGBljfYj1yJ88dI58Z1/BY0B/LQH9BFlwGTk5OkV6XAbaF8fT0RI0aNeDm5oYtW7YgceLEkRpcTZbQZMe0tJ1TyIFjqXmLLY/ePVL9rU8+Oqkey9yhU2pMQb9S/WKlbxrLQH8sA8vActAfy8A6yqB5vubIlDQTGixvgKfvn+LW61sos6AMVn61EjWz1Yyxz41LeCzoj2WgPxsLLYOo5Meycm7lXr58qYJr6U+9fft2Ne0XxT+nHp1C8TnFjcG1i4ML1rZYi/6l+3PgFyIiirdKpC2BE91OoGDKgurxW9+3qLOsDqYfm66ahBIRxQcMsHUgc2VLM3B/f39j2vv371GnTh01L7fUXGfPnl3XPFLMWHlpJSosqKBqsEUGtww40uUIGuZqqHfWiIiIYpz87h3qfEjNmS2CDEHou70vemzqAf/A/66LiIjiKjYRN7Nff/0Vb968waNHnwKojRs34sGDB+r/vXr1Uk2/pc/0okWLcOfOHWTKlEk916ZNG5w4cQKdO3dW814Hn/s6UaJEaNTo0w8RxU1yZ37M/jEYtX+UMa1s+rJY02INUrik0DVvREREsSlRgkT4p/k/GLFnBH469JNKm31mNq6/uo7VzVbDI6GH3lkkIvpiDLDNbMqUKbh3757x8Zo1a9Qi2rZtqwJsU86dO6f+zp8/Xy3BZcyYkQF2HPbe7z06re+EVZdXGdM6FOyAWfU4TQkREVknWxtbjKs6DnmS50GXDV3UXNn77u5DibklsL7leuRLkU/vLBIRfRE2ETezu3fvqtpKU4tWW71w4cIQjz/3OnmO4qY7r++gzPwyxuBaBjObVG0SFjRcwOCaiIisXpsCbbCv4z6kdPk0Xert17dRam4prL2yVu+sERF9EQbYRDFk7529ajCz80/Pq8eJEyTGhlYbMLDsQA5mRkRE9P9KpSuFk91OokjqIurxe//3aLKyCUbtG6X6aBMRxSUMsInMTFodzDw+E9UXV8dLn5cqLbt7dhzvehz1ctTTO3tEREQWJ71behzsdBCt87c2po3ePxpNVzbFO993uuaNiCgqGGATmZFvgC+6buiK3tt6I9AQqNJqZaulpiXJnTy33tkjIiKyWAkdEmJJ4yWqK5V0qRLrrq5D6XmlcevVLb2zR0QUKQywiczk4duHqLSoEuaf+2+QukFlBmFTq01I4pRE17wRERHFBdKFSrpSbWmzBW6OnwaGvfT8kupyte3mNr2zR0T0WQywiczgwL0DKDK7CI49OKYeO9k7YVmTZZhYfSLsbO30zh4REVGcIq2/pF927mSfWn+9/vgadZbWwdgDY9kvm4gsGgNsomj2t552bBqqLKqCZ++fqbQMbhlwuPNhtMrfSu/sERERxVnZPbLjWNdjaJizoXpsgAEj9o5A4xWN4fXRS+/sERGZxACbKBrzW7dZ0wb9tvcz9reulqUaTnc/bRwJlYiIiL6cq6Mr1rRYg7GVxxr7ZW+4tkE1Gb/07JLe2SMiCoMBNtEXuPnqJkrNK4XlF5cb04aUG4JtbbYhWcJkuuaNiIgoPrG1scWwCsOwtc1WJHVKqtJuvLqBknNLYuWllXpnj4goBAbYRFG0/up6FJtdDBefXVSPEyVIhH+a/4Ofqv7E/tZEREQxpGa2mqqVWKFUhYzzZbdY3QL9t/eHf6C/3tkjIlIYYBNFkvx4D9o5CI1WNIKX76e+X7mS5VKDsDTJ3UTv7BEREcV7mZNmVuOctCvQzpg29dhUVFxYEZ5enrrmjYhIMMAmiuQUXFX+qoLJRyYb077K8xVOdD2hgmwiIiKKvfmyFzVahN/q/AYHWweVdvTBURSeVRjbb27XO3tEZOUYYBN9xu7bu9WP9qH7h9Rje1t7TK81HSu/WonEjon1zh4REZFVzpf9TfFvVG12RreMKu2lz0vUXlobo/aNQmDQp8FHiYhiGwNsonDIPJsy32b1xdXx/MNzlZbeNT0OdjqI3iV7qx93IiIi0k/xtMVx5uszqJu9rnEqr9H7R6PW0lrG6TOJiGITA2wiE556P0WtJbXUfJvyYy1qZaulfsRLpSuld/aIiIjo/7k7u2NDqw0YX3W8GnFc7Lq9S7U+23d3n97ZIyIrwwCbKBT5US74Z0HsvL1TPZYfa5l/c3PrzZyCi4iIyALJb/X/yv0Pu9vvRkqXlCrt0btHqLKoCkbuHckm40QUaxhgE/2/gKAADN09FDUW18DT909VWqpEqbCz3U41/6Z2V5yIiIgsU6VMlXCuxzlUzVxVPZZWaGMOjFEDlcqApUREMY0RAxGA+1731RQf4w+NNzYJr5m1Jv7t8S+qZK6id/aIiIgokuTm+Pa22zGuyjjY2diptAP3DqjWaZuvb9Y7e0QUzzHAJqu39spaFPqzEI54HjGOEj6p2iRsabMFKVxS6J09IiIiiiI7WzsMLT8U+zruUwOUaqOM11teD/2394dvgK/eWSSieIoBNlmt937v0X1jdzRZ2QSvP75WaZmSZFKjhA8sO5BNwomIiOK4chnKqSbjDXI2MKZNPTYVJeeWxOXnl3XNGxHFT4wgyCqdenQKRWYXwZwzc4xpTXM3xdmvz3KUcCIiong2yvi6Fuswo9YMJLBLoNL+ffovis4uit9P/g6D4VPXMCIic2CATVZFRhEdf3A8Ss8rjesvr6u0hA4JMbf+XKxqtgpJnJLonUUiIiIyMxsbG/Qq2Qsnup5AnuR5VNrHgI/4dsu3qL+8PufMJiKzYYBNVjWQmYwiOnTPUDViuCiepjjOfX0OXYp0UT++REREFH8VTFUQp7qdwnfFvzOmbb6xGfn/yI8tN7bomjciih8YYFO8J02//vr3LxT4o4AaRVTYwAbDyg/D4c6Hkd0ju95ZJCIiolji7OCMmXVmYnPrzcbBTKUGu+6yuuixqQe8/bz1ziIRxWEMsClee+r9VA1i1mFdB3j5eqm0DG4ZsL/jfoytMhYOdg56Z5GIiIh0UCd7HVzoeQF1s9c1ps06PUtN53Xw3kFd80ZEcRcDbIq3/rn8D/L9kQ/rrq4zprUt0FbNbV0+Y3ld80ZERET6kxrsja024o+6f6gxWcTt17dRcWFFDNgxQPXTJiKKCgbYFO+89nmNtmva4qtVX+HFhxcqLXnC5Pin+T9Y3HgxBzIjIiIiIxmDpUexHjjf4zzKpi+r0gww4OejP6PIrCJq5hEioshigE3xyqbrm1St9dILS41pjXM1xsVvLqJJ7ia65o2IiIgsV1b3rKoL2eTqk43TeV15cQWl5pbC8D3D4Rvgq3cWiSgOYIBN8YLUVLdZ00ZNtfHo3SOV5ubopmqspeZaG8SEiIiIKDx2tnYYUGYAznQ/gyKpi6i0QEMgxh0ch8KzCuPYg2N6Z5GILBwDbIrzI4SvuLgCeX7Lg2UXlhnTa2atqWqtpc81p98iIiKiqMibIi+OdTmGURVHwd7W3libXWZeGfTb1g/v/d7rnUUislAMsCnOkprqxisao+U/LfH8w3OVJv2rFzZciK1ttiKdazq9s0hERERxlMw0MrLSSFWbXSxNMWPf7GnHp6HAnwWw584evbNIRBaIATbFOUGGIMw9M1fVWq+/tt6YLn2sr3x7BR0KdWCtNREREZlF/pT5cbTLUUyqNglO9k7Gkcar/lUV3TZ0wyufV3pnkYgsCANsilMuPbuECgsqoNvGbsZ5raV/9apmq1Rf61SJUumdRSIiIopnpJn4wLIDP031meG/qT7nnp2LXL/mwpLzS1S3NSIiBtgUJ3zw/4Ahu4ag0KxCOOx52Jgufawvf3MZX+X5Stf8ERERUfyXwyMH9nXch9/q/IbECRKrNOmm1m5tO1RfXB03Xt7QO4tEpDMG2GTxtt7Yiny/58OEwxMQEBSg0rK7Z8fOdjvVKOEeCT30ziIRERFZCVsbW3xT/BvVLa1p7qbG9N13diP/H/kxZv8YTulFZMUYYJPFuu91H81WNUOdZXVw580dlSbzUv5Q4Qec73ke1bJU0zuLREREZKXSuqbF6uarsbHVRmRwy6DSfAN9MXLfSBT8syB23NqhdxaJSAcMsMnifAz4iLEHxqo+TasvrzamV8pUCed7nMfoyqONg4wQERER6alejnqqu9rAMgNhZ2On0q69vIaaS2qq2U7uvP5USUBE1oEBNlkMGRxk47WNyPt7XozYOwI+AT4qPXnC5FjUaBH2tN+DnMly6p1NIiIiohBcErhgUvVJON39NEqnK21MX3d1HfL8ngej9o2Cj/+n6xoiit8YYJuZt7c3Ro4ciVq1asHd3V1NF7Vw4cJIv/7Nmzfo3r07kidPDhcXF1SuXBlnzpxBfCeDgtRdVhcN/m6gpr4Qche4T8k+uN7rOtoXbM+pt4iIiMiiFUxVEIc6H1IVAyldUhpb5o3ePxq5f8uNNVfWcLRxoniOAbaZvXjxAmPGjMGVK1dQsGDBKL02KCgIdevWxbJly/Ddd99h0qRJePbsGSpVqoQbN+LnqJQyd2S/bf1UrfXWm1tDNAc/1+McptWahiROSXTNIxEREVFUBkGTigGpIPi+9Pdqii9xz+semq5siip/VcGZx/G/8oTIWjHANrPUqVPj8ePHuHfvHiZPnhyl165evRpHjhxRNd5SC/7tt99i3759sLOzU4/jE79AP0w9OhXZZmTDtOPT4B/kr9LTuabDiq9WqObg+VLk0zubRERERF/E1dEVU2pMUePHBB+Ydd/dfSg2uxg6rOuAB28f6JpHIjI/Bthm5ujoiFSpUn3RayXATpkyJZo0aWJMk6bizZs3x/r16+HrG/enfJBmUZtub0K+P/Kh/47+eP3xtUp3tnfGiAojcPXbq2ietzmbgxMREVG8kDt5buxouwNrmq9B1qRZVZoBBvz171/IMTMHRuwZAW8/b72zSWQR3vu/R1zHANuCnD17FkWKFIGtbchiKVGiBD58+IDr169H6f38/PxC9PMJDAxUaQEBAWHWi4l1/f39Vbo0fRcnHp5AxQUV0W1rN9x6cUul2cAGHQp2wKUelzC87HAVaGvkdfJ6eZ+I3tdc60r+JV2+z5esK9tE2z4xta6p7R6VdfUq+6iuG9tlH939JDbKPirr6ln20d1P4lrZW9p+wnOE/uvyHGG+dePTOUKea5y7MS5/exlTa05FEockQADg4+eDsQfHIsevObDw0kK893nPcwTPEbqvq0fZP373GN9t/Q7FFhXDw9cPLfIcEVmfOoWQRZCm5RUqVDDZ7Fw8evQI+fPnD/O81GwHr91++/at+jtlyhQMGzZMDZYmDh48iL1796Jw4cJo0KCBcX3p6y07Up8+fZAkyaf+zsePH8f27duRL18+NG3a1Lju1KlTVbDfs2dPpEiRQqXJIGybNm1Czpw50bJlS+O6v/76qxq0rWvXrkieKrmaquLRjUfAFQBJgUoNK2Fy9ckokroIfv/9dzx//hwdOnRApkyZ1OuvXr2KFStWIF26dOjSpYvxfefNm6e2VatWrZAjRw6VduvWLSxZskS1AOjRo4dx3cWLF6vm+l999RXy5s2r0u7fv48FCxaoQeh69eplXHf58uW4efMmGjZsiEKFCqm0J0+eYNasWUicODH69+8forWB9LOvXbu2ugEiXr58qb6zk5MTBg8ebFx3w4YN+Pfff1GtWjWULVvWWEayLeVmyogRI4zrbt26FadOnULFihVV33vx8eNHTJw4Uf1/+PDhqsuA2LlzJ44ePYrSpUujRo0axhPQuHHj1P8lD5IXsX//frUUK1ZM5VlOWnKiGD9+vPrbr18/uLq6qnWlm8KuXbvUGAKNGjUy5u3nn39WeZHxATw8PFTayZMnVZ5z586tWlpopk+fjnfv3uHrr782tuiQbSAtMbJly4Y2bdoY15Wyf/XqFTp16oQMGT7NI3rp0iW1jTNmzIiOHTsa150zZw6ePn2Ktm3bImvWT7UAcuNJyk6OExkgUCNdLR48eIAWLVogV65cKu3u3btYtGiRahnyzTffGNddunQp7ty5g8aNG6NAgQIq7eHDh5g7d646JuTY0KxcuRLXrl1DvXr1ULRoUZUmYyX88ccfSJgwIQYOHGhcd+3atbh48SJq1qyJUqVKqTQ5JqZNm6ZO3GPHjjWuK8eQ3GSTgQ2188D79+/VcSyCdxPZsWOHOkbLlSuHqlWrqjR5PylPMWTIECRIkED9f8+ePTh06BBKliypBl/UaPvJgAEDLOIckTZtWpV2/vx5td0yZ86M9u3bG9eV49Dc5wjZ9//55x+1/zVr1ozniP8/R8hYIJqYPkd069ZN5Vc+Q8qe54hP5wjZPg4ODhg6dGiMnyPkmJdjuUqVKmp/1fAcETPXEfY29uhdojcSXU+EuTvm4pTLKQSmCcTT908xZMcQTJoyCdVzVMfSX5aqvtzWfo6IzesI+RzJrxZI8RwRO9cRmXNkxtUUVzHjxIxPMwgdAppdaYZ1P6+zqHOElG9kMcC2ID4+PqqJeWjayU2eN0UOhtGjR4dJl4NKdiT5K16/fq3+7+XlpQ7k4COfyx0hWVe7wxXRupIPGcxNIyc1WVdO9sHXlROjpMu6chIYUGQA+t/oDzdHNzTL3wxjao5RTcHlNdq6cgEqJxch/5c0ec7U+8rzWvrn1pU8aumSH0mTPAVfV/If3rpaPkOvK9tJS9e2g2zL4OvKNgy9rpYv+WE0ta6cLLR0+THSylDStB9GWSf0uvLDGHxdbd/R1tXKU/5KkC1p8kMiZS+f87mylxs5sq52x1NbN3TZy7pa2WstMiKzn2j51daNqOzlYuVL9xP5nMiWvWzvyK4r2/JzZa+lafuJtn1MrSsXocHLU2Oq7OXYDb6u9sNoal2hrWtJ54jIrGvOc4SUl7aNeY4IeY4Ivp/E9DlCfvfkfMRzRMhzhL29/WfXNcc5Qt5PypbniNi9jgj6GIRyqcqhW8luWOOzBlvubPm03XxeY+Wllbj4+0X8r8T/UC1DNas/R8TmdYR8TzkfyWfyHBGz1xGPnj/C7pu7cebmGfjk+C/Gsbezh53BzuLOEfK+kWVj4FwBMUbuIBYvXlzd5Qx+9yw8iRIlUnfJ5K5JcFu2bFF3C7dt26buYEWmBjt9+vTqDp3cIdT6M8vJTBY5achBqdF2dNkxzbmu3KmS3UvS5LnAoED8de4vVPSoiLSp0oa4mRB6XSEnGTkY5XO0gyYm15U0eU5OhNqPT1TWlc/RmphoJyVzr2tqu0dlXdkGssgJTu6+ak1tYrrso7pubJd9dPeTqJandoEhd1u1z4vp/SS2jvvo7iexWZ6SJi2DkiVLprYvzxGxX/aSLhcwcj6Sx5a4n0R1Xb3K/kv3E0mTWlapuQ3+HjxHmKfsI7vuUc+jGLx9MA57Hv60wv9vhjLpymBU+VEon6G8VZ4jYvM6QtIliJTzkTzHc0TMlL1foB/mnJmDsQfG4vm759JfFLADEtglwNdFvkbHLB2RK0MuFSdY0jlC9g2Jq+TmgdZaIzwMsC0owM6ePbtaJKAOTgJuafogTR5MNREPTQJsNze3SO0AsU27MydNPkL3NafYwTLQH8vAMrAc9Mcy0B/LwLLK4bz3eQzfOxwnH50M8XyFjBXwQ4UfUCVzFQ4EG0N4LMQsH38fzD0zFxMPT8TDdw+N6dIVomPBjvih4g9I75reYssgKvGVZeXcykl/HeljELoTvfRRkKYMWh8AIiIiIop/ZDqv412PqxHH8yTPY0w/cO8Aqi2uhvILymPHrR0hBoAismQf/D+oqXmzzMiC3tt6hwiuv8rzFS59cwnzGs5DxiQZEV8wwNaJdJyXjvXBR62TATSkWfeaNWuMadKnYNWqVahfv77J/tlEREREFH9IDbWMOC7zZy9uvBg5PXIan5Mm5DWX1ETpeaWx5cYWBtpksbz9vDHlyBRknp5ZTc37xPuJ8bmGORvidPfTWNVsFXIl+zSAXHzCQc5igDainfTtExs3blSjEAoZbVKaF8jofDIKoYxIp41kJwG2jBAooyBevnxZ9QuUkRGlz4GpQcyIiIiIKH6ys7VD2wJt0SpfK6y6vAo/HvgRl59fVs8df3gcdZfVRf4U+TGwzEC0zNcSDnb/9SEl0stT76eYeWImfj/5O15/fB3iuaa5m2J4heEolOrTKPvxFQPsGCDD4cuUDhqpkdZqpWVaAAmwTZFBBqT/tQzPP2PGDDXKpvThlmkCZFh6IiIiIrK+QFsC6OZ5m+Ofy/9gzIExuPjsonruwrMLaL+uPYbtGYZ+pfqha5GuSOz4aXRsoth0/eV1/HzkZyz6dxF8A/8bfNkGNmrflcA6X4p8sAYc5Cwe4iBnFBGWgf5YBpaB5aA/loH+WAZxrxyCDEHYcG2DGizq2INjIZ5L4pQEPYv1xLfFv0Va10/zAlPk8FiIOgkjjz44qpqCr7u6Dgb8F1Y62Dqgdf7WGFR2UIjxBOJqGXCQMyIiIiKieEhGXW6UqxGOdD6Cg50Oon6O+sbn3nx8g/GHxiPT9ExosboFDt0/xH7aZHYfAz5i4bmFKDanGMrOL4u1V9cag+vECRJjQOkBuN3nNhY2Whjp4Do+YRNxIiIiIqI4OBhauQzl1CJ9s6V57uLzi+Ef5I+AoACsvLRSLdLftVeJXqovt7ODs97ZpjjM08sTf5z6Q81j/eLDixDPpU6UGn1L9cXXRb+Gm5Pp7rDWgjXYRERERERxmNQSylRHd/vexfDyw5HCJYXxuXNPzqHLhi5IPzU9Bu4YiKsvruqaV4pbAoMCsf3mdjRd2VSNCC4tJIIH10VTF8XChgtxp88d1RzczcqDa8EabCIiIiKieCBN4jT4scqPakApqb2W0ZxPPjqpnnvp8xJTjk5RS/kM5dWAaDIPcUKHhHpnmyzQfa/7WHB2Aeafm6/+H5z0r26Wtxm+K/4dSqUrpVpT0H8YYBMRERERxSOO9o5oV7CdWk48PKECbQm4/QL91PMH7x9US6+tvdAmfxt0LtxZ1UQyULJuvgG+2HR9E+aenatqrYMPWiZSJUqFHkV7oHvR7kidOLVu+bR0DLCJiIiIiOKpEmlLYHHjxZhacyoW/7tYBU/afNpvfd+qPrWy5PTIqYLtNgXaIEvSLHpnm2KJjEp/4N4BLD2/FKuvrFYD5YUeVK92ttroVqQb6mSvw/nWI4EBNhERERFRPJcsYTL0K91PDUQl03vNPTMXf1/6Gx/8P6jnr728hh/2/aCW0ulKq2Bb5i9O7pJc76xTDDj/9LwKqpdfXA7Pt55hns+UJBO6FO6CjoU6Ip1rOl3yGFcxwCYiIiIishLSDLx0+tJqmVprKlZcXIElF5aoWkyNzG0sS59tfVApUyU0yd0EjXM1ZrPgOEymazv75CzWXFmjlisvroRZx8XBBY1zN0b7Au1RNUtVVXtNUccAm4iIiIjICrk6uqJb0W5qkYGsll9YroLti88uqucDDYHYfWe3Wr7b8p0KypvmbqqC7cxJM+udfYrECOByo0QLqu953Quzjr2tPWpmralaLDTI2QAuCVx0yWt8wgCbiIiIiMjKZXDLgMHlBqtFaz686vIq3HlzRz0vA14d8Tyilu93fI+8yfOqvrnSL7dshrJIYJdA769AMlr8h5fYfms7tt7cqgYqe/7heZh1bPBpDvWW+VqqbgDSfYDMhwE2EREREREZFUhZAAWqF8CEahPw79N/jTWgl55fMq4j/5dFpv1KlCARqmWppgLuGllrqP67FDsCggJw9vFZFVDLIqPGy8Blpmqqq2SuologNMzZECkTpdQlv9aAATYREREREZnsr10oVSG1jKk8BtdeXFOB9obrG3D8wXHjNE7eft5Yd3WdWkRGt4yq73blTJXV34xJMur8TeJXQH3uyTnsu7tPLTLdmowGb4p246NJriaol6MekjonjfX8WiMG2ERERERE9Fk5k+XEkPJD1CJNkXfc2oEtN7dg281tePHhhXE96eu76N9FahGZk2RGhYwVUDJtSZRMVxL5U+TndE+R5PXRCycfnVQ3NKQ/dUQBtdCa7tfOXls1A2fT/djHAJuIiIiIiKLEI6EHWuVvpRZpknz60WkVaO+7t0/10/4Y8NG4rvTjlkULuJ3snVA0dVEVcMs83VJDns09G+xs7WDNZMq0S88u4fTj0zj+8LgKqq++uGpsKWBKSpeUqpWANP+ula2W6ktP+mKATUREREREX0ymcyqetrhaRmAEfAN8VYCoNWOWgNs30Ne4vgTfhz0Pq0UjQXe+FPlQIEWBT33AUxZQNeapE6VWTdXjE/9Af9x9c1f1YZcB5bTl5qubEQbTIoVLChVQV8pYSf3NlSxXvNs+cR0DbCIiIiIiMhtHe0fVJFyWHyr+oAJu6TcsQfexB8fU39uvb4d4jQTdpx6dUkvouZmldluW7O7Zkd0juxpELZ1rOqRNnNYip5WSOadf+bzCg7cP1HLr9S3ceHkDN1/fVH8luJYp0D5HBiYrmLIgSqUrZWxeL9uAAbVlY4BNREREREQxGnBLcChL75K9Vdrz98/ViNfSHDqiGtz3/u/VSOaymJLUKSnSuqZVAbfUdns4e8Dd2V01YVd/nT3U4F4JHRLC2d75018HZ1VjLjXvn6tp9gnwgY+/j/GvDOj20uelCqBlkb7o8veFzws8fPtQBdQP3z0M0UQ+MkLX4EtrgMKpCqu8UtzCAJuIiIiIiGJVcpfkqJujrlo07/3eG5tNX3x2ETde3VA1vtJ/W0bPNuX1x9dqkfWjytHOMUS/b6l5ltph+esf5B/uZ0aHjOwttdBSI5/TI6exOTz7oMcfDLCJiIiIiEh30txbBj2TJXRNsoxMLjXcEnB7vvU01hRrzbD9Av2i/HmqX/jnW2pHiZuj26fm61KrnvjTXxlFXZq2SxAtg5KxiXf8xgCbiIiIiIgslkzppfXDlpGyQ5MaZ5km7Nn7Z8bm21rTbXn82uf1pybeAT5qpG6tybf8X16rCQgIgL29vfEzpUm5NNHWmpfL/6VPuNYMPXhTdFnSJE6jaqjJujHAJiIiIiKiOEtqhKXJuSxfKigoCM+ePUOKFClgaxtx32yiiHDvISIiIiIiIjIDBthEREREREREZsAAm4iIiIiIiMgMGGATERERERERmQEDbCIiIiIiIiIzYIBNREREREREZAYMsImIiIiIiIjMgAE2ERERERERkRnYm+NNyLIYDAb19+3bt7A0QUFBePfuHZycnGBry/s7emAZ6I9lYBlYDvpjGeiPZWAZWA76YxnoL8iCy0CLq7Q4KyIMsOMh2TFF+vTp9c4KERERERFRvImz3NzcIlzHxhCZMJzi3N2fR48eIXHixLCxsYGl3f2RwN/T0xOurq56Z8cqsQz0xzKwDCwH/bEM9McysAwsB/2xDPT31oLLQEJmCa7TpEnz2dp11mDHQ1Lo6dKlgyWTg8bSDhxrwzLQH8vAMrAc9Mcy0B/LwDKwHPTHMtCfq4WWwedqrjWW1bidiIiIiIiIKI5igE1ERERERERkBgywKVY5Ojpi5MiR6i/pg2WgP5aBZWA56I9loD+WgWVgOeiPZaA/x3hSBhzkjIiIiIiIiMgMWINNREREREREZAYMsImIiIiIiIjMgAE2ERERERERkRkwwKYo8/X1xeDBg9VE687OzihZsiR27twZqdc+fPgQzZs3R5IkSdT8dg0bNsTt27dNrjtv3jzkzp0bTk5OyJ49O2bOnGnmb2J9ZbBmzRq0aNECWbJkQcKECZEzZ058//33ePPmTZh1M2XKBBsbmzBLjx49YuhbWUcZjBo1yuR2lf3cFB4H5i+D8PZtWWQbBxfeehMmTIjBbxZ3eHt7qwFpatWqBXd3d7VtFi5cGOnXy7mne/fuSJ48OVxcXFC5cmWcOXPG5LobNmxAkSJF1LGQIUMG9bkBAQFm/DbWWQ67d+9G586dkSNHDvW7IL8PXbt2xePHj8OsW6lSJZPHg3yutYtOGch64Z1rnjx5EmZ9HgvmL4Pw9m1ZHBwcQqzL66PwnTx5Et999x3y5s2rzumyf8p1//Xr163qN8Fe7wxQ3NOxY0esXr0affv2VRejcvKqU6cO9u7di3LlykV44pMDxcvLC0OHDlUnrKlTp6JixYo4d+4cPDw8jOvOmjVLnaiaNm2K/v374+DBg+jduzc+fPigLqit3ZeWgZy0JBhp27atOhlduHABv/76K7Zs2aJOYBKkBFeoUCEVgAcnF2H05WWg+eOPP5AoUSLjYzs7uzDr8DiImTKYNm2aOh8Fd+/ePQwfPhw1atQIs3716tXRvn37EGmFCxc24zeJu168eIExY8ao80nBggWxb9++SL82KCgIdevWxb///ouBAwciWbJk+P3339WF7unTp0Pc7Ni6dSsaNWqknpObTHLuGjt2LJ49e6aOJWsXnXKQc8mrV6/QrFkztc3lprf8LmzatEn9NqdKlSrE+unSpcP48eNDpMnvirWLThlo5PWZM2cOkSYVEsHxWIiZMhg2bJi6sRTc+/fv1W+wqd8FXh+ZNnHiRBw+fFidTwoUKKBuEMn5RALhY8eOIV++fNbxmyCjiBNF1vHjx2XUecPkyZONaT4+PoasWbMaSpcuHeFrJ06cqF574sQJY9qVK1cMdnZ2hiFDhhjTPnz4YPDw8DDUrVs3xOvbtGljcHFxMbx69cpgzaJTBnv37g2TtmjRIvV+c+bMCZGeMWPGMGVA0S+DkSNHqtc+f/48wvV4HMRcGZjy448/qvc7fPhwiHRJ+/bbb82S5/jo48ePhsePH6v/nzx5Um2vBQsWROq1K1asUOuvWrXKmPbs2TNDkiRJDK1atQqxbp48eQwFCxY0+Pv7G9OGDRtmsLGxUb8j1i465bB//35DYGBgmDR5D9nGwVWsWNGQN29eM+Y8/ohOGch6sr687nN4LMRMGZiyePFi9R5Lly4Nkc7ro/DJb6ivr2+ItOvXrxscHR3V9Yu1/CawiThFidQWSU2b1IRqpGlGly5dcPToUXh6ekb42uLFi6tFkytXLlStWhUrV640pknt08uXL/HNN9+EeP23336r7iZu3rwZ1iw6ZSB3+kJr3Lix+nvlyhWTr/Hz81PbncxTBhqJ3d6+fav+msLjIObLILhly5apmqMyZcqYfN7HxwcfP36Mdr7jG5mrNHQNZ1TKMGXKlGjSpIkxTZoFSnPC9evXqy4A4vLly2qRsra3/6/hnRwbcvzI+1i76JRDhQoVYGtrGyZNmtiG97sgzTBDtwKxdtEpg+DevXuHwMBAk8/xWIidMgj+uyDNlKU7oym8PgpLfkMTJEgQIk1qnqXJeHjnk/j4m8AAm6Lk7NmzqgmM9J8OrkSJEuqvNCcLr9nH+fPnUaxYsTDPyWtv3bqlflS0zxCh1y1atKi6CNCet1ZfWgbh0fp3SVOc0Pbs2aP65ElTZulzNH369GjlPb4wRxlIP0c3NzckTpxYNdl/+vRpmM8QPA5i/jiQ95If/tatW5t8Xpqey0WWdKHIkyePuuii6JPtLs0GQwd3UobSDULrsxfesSDNkqW5srUfCzFBgmdZTP0uSLnI8SDnLglmRowYAX9/f13yGd9INzo5p8nvboMGDXDjxo0Qz/NYiD3Pnz9XY3pIM2TZ30Pj9VHkGQwGdY1j6nwSX38T2AebokQGPUmdOnWYdC3t0aNHJl8n/bvkztPnXiuDbslnSM1UihQpQqwnd8Skn3Z4n2EtvrQMIuovI9v7q6++CpEufWekH6uUidSkSpAhfV3l/eU11iw6ZZA0aVI1AEjp0qXV3XbpV/3bb7/hxIkTOHXqlDFg5HEQe8fB0qVL1d82bdqYvBsvd8+ldlveU8pK1pOxJHr27Bmt72DtpAylpjSiMsyfP79xsK3wytvaj4WYIOMUSO2cDIoZXNasWVUQKOUiNXdSUyT9HuXCd8WKFbrlN66TQE3GlNACbOlv+ssvv6jzj4yPkj59erUej4XYI/uztNQw9bvA66OoWbp0qRrkWPrHW8tvAgNsihJpJilBQWjaCMjyfHivE5F5rfwN3bwk+LrhfYa1+NIyMEVq4mSU6kGDBoUZPVlGZwyuU6dOqF27tvrR79Wrl7pLaK2iUwZ9+vQJ8VgGMJO7s/IjLoN5/O9//zO+B4+DmD8OpHXN33//rQYtk9HaQ5PBWoKT0ZalFYEM1CgXxKEHBiTzl+Hnfj+kqwWZz4EDBzB69Gh1Y6lKlSohnpPfi+DatWunmmnOmTMH/fr1Q6lSpWI5t/GDbGtZNFJrWrNmTRVsjBs3Dn/++adK57EQe+T6SJonyyCXofH6KPKuXr2qurZJpUKHDh2s5jeBTcQpSuRiUusDEZzWNzG8i00tPTKvlb9y59wUWdfaL2i/tAxCk5pT6a8qP+LyA/45MgWFXEDJHd0vGR01PjFXGWikabI0tdy1a1eIz+BxEPNlsH//fnVn3VQthSly00NaIMhUIlLLRDFfhp/7/bD2Y8HcF8MyLoeM9Dt37txIvUYbSTn4+YuiT2pIZerB0L8LgsdCzJKR9GUsD2nBEbyPb3h4fRR+F8S6deuq7nDauCnW8pvAAJuiRJpemJobU0sLb6oOGSxF7jRF5rXyGTLAhwy1H5wEG9IUx9qnA/nSMghOpkCQ/l1yESUnvcj8gAitmZo0+bdm5igDU9s2+HblcRA7ZSBN16S/V6tWrSL92TwOYrcMtWaA4a1r7ceCucjAgDIdkVwMy9SN0sc6Mng8xBxTvwuCx0LM0sbZiOyNV8HjICQvLy9Vqy83o7dt2xapfTM+/SYwwKYokXn/pK9V6OYXx48fNz5vilzASr8J6WMamrxWBnzSfsy19wi9rjyW5pzhfYa1+NIy0MiAcrVq1VJ9e+UiKvhczJG5qyuk2ZQ1i24ZmBoA5O7duyG2K4+DmC8Dufv9zz//qNH1o/KDzOPAPKSMpH+p7M+hy1D6pGpzyoZ3LEg/uwcPHlj9sWAOctNOgms5JrZv326yb2N4eDzEHNm2kfld4LFg/gBbxhuISpcHHgcha5Hr16+vfqM3bdqkBge1ut8EvecJo7jl2LFjYeaelXkHs2XLZihZsqQx7d69e2HmoZswYUKYeR6vXr2q5sEePHhwiPl/3d3dDfXq1Qvx+rZt2xoSJkxoePnypcGaRacMZH7ILFmyGNKkSWO4c+dOuJ8h2zggICBEmp+fn6Fs2bKGBAkSGOeZtFbRKQOZ0zG03377Tb3fL7/8YkzjcRBzZaBZs2aNeo958+aZfN5UWb19+1bNtZ0sWbIwc31au4jmnX306JEqBzmPaP7+++8wc57K/PAy52mLFi1CvD5XrlxqztPg56Xhw4erOU8vX74cY9/JGsrB29vbUKJECUPixIkNp06dCvd9vby81DEWXFBQkCor+bzTp0+b+ZtYTxmYOtds3rxZvUfv3r1DpPNYiJky0Jw5c0a9bsSIESbfl9dHEZNt06BBA4O9vb3ah8MT338TGGBTlDVr1kwdOAMHDjTMmjXLUKZMGfV4//79xnUqVqyoDhJTF6YpUqQwTJo0yTB16lRD+vTpVbAX+sdFCzi++uorw5w5cwzt27dXj8eNGxdr3zM+loGcjCRt0KBBhsWLF4dYduzYYVxPfpCkrOTGx59//mn46aefDPny5VOvlf/Tl5eBs7OzoWPHjoaff/5Z7eetWrVSPwiFChUyvH//PsS6PA5ipgw0TZs2NTg6OhrevHlj8vmRI0eqY0Z+tGfPnm0YPXq0IWPGjKq8lixZEmPfK66ZOXOm4ccffzT07NlTbesmTZqox7Jo27ZDhw7queA39uTCqFSpUoZEiRKpbSv7e968eVWgJzdfg9u4caPa7lWqVFFlIUGHra2toVu3brH+feNbOTRs2FClde7cOczvwtq1a43r7d2715AqVSpDv379VFlNmTJFBRXy2u7du+vyneNLGciNQTmfTZw4Uf3myvaUc5lcIz158iTEZ/BYiJky0Hz//ffqudDnIA2vjyLWp08ftS3q168f5nwiiya+/yYwwKYo8/HxMQwYMED90MrFafHixQ3btm0LsU54F7Wenp4qWHB1dVUHkNTO3bhxw+TnyAGTM2dOdUdQTmYSkMvdcvryMpDH4S2yvkZqMeTkmDZtWrX9pazKlStnWLlyZax9x/haBl27djXkyZNH/WA4ODioCyv5oZYbUKbwOIiZc5HUxjk5OamLr/DITafq1aur95eykrvoNWrUMOzevTtGvk9cJTcdwjuvaBdP4V3Qvnr1ytClSxeDh4eHapkh5RW8lVNwEuzJjSgp63Tp0qkbH6ZqoKzVl5ZDRK+T5zS3b99WQWCmTJnUsSPlVbRoURVk8JwUvTIYNmyY2rfd3NzUuSZDhgwqQAwdXGt4LMTM+SgwMFBd9xQpUiTc9+f1UcS031yEs2ji+2+CjfyjdzN1IiIiIiIioriOg5wRERERERERmQEDbCIiIiIiIiIzYIBNREREREREZAYMsImIiIiIiIjMgAE2ERERERERkRkwwCYiIiIiIiIyAwbYRERERERERGbAAJuIiIiIiIjIDBhgExEREREREZkBA2wiIiKKcd7e3kiRIgWWLl0ao59TqlQpDBo0KEY/g4iIKDwMsImIiMisXr9+DXt7e6xcudKYNn36dCROnBgtW7Y0pu3evRudO3dGjhw5kDBhQmTJkgVdu3bF48ePv/izBw8ejN9++w1PnjyJ9vcgIiKKKhuDwWCI8quIiIiIwvH333+jXbt2eP78OZIkSQJ/f3+kTZsW/fr1w5AhQ4zrFStWDK9evUKzZs2QPXt23L59G7/++qsKts+dO4dUqVJF+bODgoLUZ3Xr1g1jxowx8zcjIiKKGANsIiIiMqv27dvj/v372Ldvn3q8du1aNGnSBDdv3kTWrFmN6x04cADlypWDra1tiLSKFSti2LBhGDt27Bd9fq9evbBx40bcuXMHNjY2ZvhGREREkcMm4kRERPRZEixL/+aHDx+iR48eqrl30aJFcfr06TA1yNu2bUPdunWNaevWrUOmTJlCBNeiQoUKIYJrLc3d3R1XrlwxpslrJVAOb5Hng6tevTru3bunasGJiIhiEwNsIiIiitDBgwdV0Prx40dcu3YNs2bNQocOHfDu3TtUrVpVBbOakydPqqbhderUMaYdOXIERYoUifRgaLIkS5bMmDZt2jTkypUL6dKlw+LFi42LrFOoUCH1fHAS+IvDhw+b4dsTERFFHgNsIiIiitDIkSPh4OCA7du3GwcP69+/P1atWgUvLy9MmTLFuO7mzZuRMWNG5M2bVz0OCAjArVu3kDlz5kh9lgTLfn5+aNGihTGtUaNGSJkyJdzc3NC2bVvj4uLiovpby/PBSVqCBAlw+fJlM20BIiKiyGGATUREROGSYFdqgrUgVx4LadpdsGBBVTOt9bUWW7ZsCdE8XAYxk+FekiZN+tnPkv7Xo0ePRvPmzVGlSpVo5Vs+78WLF9F6DyIioqhigE1EREThevnypQqqZZRvU6RmWptWS2q3z5w5EyLA1nxuTNWrV6+icePGyJcvH+bOnRvtfMvncYAzIiKKbQywiYiIKFxakBpegCxNx7WByrZu3QonJydUrlzZ+LwMWCbvIXNjh8fT0xM1atRQTcClBlwGUIuuN2/ehOjHTUREFBvsY+VTiIiIKE5Knjy56uss/ahNkbmrtf7V0v9agmtnZ2fj8/b29mr0cJkyK7wacgmufX19sXv3bqROnTraeZaRzqXWPXfu3NF+LyIioqhgDTYRERGFy87OTgXA69evD9OnWaboOnXqlGoS7u/vj507d5psHl66dGm1Xmjv379Xo41LQCw11+E1Qw+P1J4HBgaGSdemDitTpkyU3o+IiCi6GGATERFRhMaMGaPmt5aBx3bs2KHSZs6ciWrVqiF9+vTo27cvDh06hLdv35oMsBs2bKiagV+/fj1Eeps2bXDixAk0a9ZMzXu9ZMkS4yJzZ3+ODLp2/PhxzJ49WwXrGgn0M2TIgMKFC5vl+xMREUWWjeFzo44QERGR1ZO5rGVqLhnETGqrEyZMqObAnjFjBjJlyoSBAweqWuhLly6Fea0015aps/r06YPhw4cb0+V1wefQDk6m+rp7967xcaVKlVQN+sWLF41pK1asQM+ePVX/bgngZZ5suREgf7t06YIff/zR7NuBiIgoIgywiYiIKNIWLlyITp06qT7VEiBr8uTJg3r16mHSpEkmXyfB7oIFC3Djxg3V7DymSM1369atVZ9xc/TnJiIiigo2ESciIqJokRrqFi1aqMA7PP369YO3tzf+/vvvGM3LxIkT8d133zG4JiIiXXAUcSIiIoqWBAkSYOTIkRGukyhRIjx79izG83L06NEY/wwiIqLwsAabiIiIiIiIyAzYB5uIiIiIiIjIDFiDTURERERERGQGDLCJiIiIiIiIzIABNhEREREREZEZMMAmIiIiIiIiMgMG2ERERERERERmwACbiIiIiIiIyAwYYBMRERERERGZAQNsIiIiIiIiIjNggE1ERERERESE6Ps/uQvU50+HHNMAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if xpoint is not None and 'monodromy_X' in dir():\n", " phi_arr_X = monodromy_X.phi_arr\n", " DP_eigvals_X = np.array([np.linalg.eigvals(DP) for DP in monodromy_X.J_arr])\n", " DP_dets_X = np.array([np.linalg.det(DP) for DP in monodromy_X.J_arr])\n", " \n", " fig, axes = plt.subplots(2, 1, figsize=(10, 7))\n", " \n", " ax = axes[0]\n", " ax.semilogy(phi_arr_X/(2*np.pi), np.abs(DP_eigvals_X[:, 0]), 'b-', label='|λ?φ)|')\n", " ax.semilogy(phi_arr_X/(2*np.pi), np.abs(DP_eigvals_X[:, 1]), 'r--', label='|λ?φ)|')\n", " ax.axhline(1.0, color='k', linestyle=':', alpha=0.5)\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('|eigenvalue of DP| (log scale)')\n", " ax.set_title('X-point: Hyperbolic eigenvalue growth along orbit')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " ax = axes[1]\n", " ax.plot(phi_arr_X/(2*np.pi), DP_dets_X, 'g-', linewidth=2)\n", " ax.axhline(1.0, color='k', linestyle=':', alpha=0.5, label='det=1')\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('det(J(φ))')\n", " ax.set_title('Area preservation check for X-point orbit')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " plt.tight_layout()\n", " plt.savefig('monodromy_xpoint.png', dpi=100, bbox_inches='tight')\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "7126ff81", "metadata": {}, "source": [ "## 5b. Stable and Unstable Manifolds from X-point\n", "\n", "The stable manifold ^s$ (blue, cool) contains trajectories that **converge** to the X-point under forward iteration. The unstable manifold ^u$ (orange, warm) contains trajectories that **diverge** from the X-point. Together, they form the separatrix skeleton of the island chain." ] }, { "cell_type": "code", "execution_count": 10, "id": "7931acb1", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:43.725214Z", "iopub.status.busy": "2026-03-15T05:01:43.724896Z", "iopub.status.idle": "2026-03-15T05:01:45.582395Z", "shell.execute_reply": "2026-03-15T05:01:45.581499Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Growing manifolds from X-point (3.1237, 0.1237)\n", "Monodromy eigenvalues: [0.30223845+0.95323235j 0.30223845-0.95323235j]\n", "|lambda_1|=1.0000, |lambda_2|=1.0000 (product~1: 1.0000)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\dell\\AppData\\Local\\Temp\\ipykernel_14112\\2470546809.py:26: ManifoldWarning: X-point does not appear to be hyperbolic: |λ| = [1. 1.]. Manifold growth will likely produce straight lines. Ensure n_turns matches the orbit period (e.g. n_turns=TARGET_N for q=m/n).\n", " sm = StableManifold([R_xpt, Z_xpt], M, field_func_2d)\n", "C:\\Users\\dell\\AppData\\Local\\Temp\\ipykernel_14112\\2470546809.py:27: ManifoldWarning: X-point does not appear to be hyperbolic: |λ| = [1. 1.]. Manifold growth will likely produce straight lines. Ensure n_turns matches the orbit period (e.g. n_turns=TARGET_N for q=m/n).\n", " um = UnstableManifold([R_xpt, Z_xpt], M, field_func_2d)\n", "C:\\Users\\dell\\AppData\\Local\\Programs\\Python\\Python313\\Lib\\site-packages\\IPython\\core\\interactiveshell.py:3546: ManifoldWarning: Manifold branch appears to self-intersect at turn 12. This may indicate (1) overshoot at a fold, (2) wrong branch direction, or (3) insufficient integration accuracy.\n", " exec(code_obj, self.user_global_ns, self.user_ns)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Stable segments: 2, Unstable segments: 2\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Manifold figure done.\n" ] } ], "source": [ "# === Stable/Unstable Manifold Visualization ===\n", "from pyna.topo.variational import PoincareMapVariationalEquations\n", "from pyna.topo.manifold_improve import StableManifold, UnstableManifold\n", "from pyna.toroidal.visual.tokamak_manifold import _manifold_line_collection, manifold_legend_handles\n", "\n", "# field_func_2d wrapper: stellarator.field_func([R,Z,phi]) returns unit tangent\n", "# We need (R,Z,phi) -> (dR/dphi, dZ/dphi)\n", "def field_func_2d(R, Z, phi):\n", " tang = stellarator.field_func(np.array([R, Z, phi])) # [dR/ds, dZ/ds, dphi/ds]\n", " dphi_ds = tang[2]\n", " if abs(dphi_ds) < 1e-15:\n", " return np.array([0.0, 0.0])\n", " return np.array([tang[0] / dphi_ds, tang[1] / dphi_ds])\n", "\n", "if xpoint is not None and 'monodromy_X' in dir():\n", " R_xpt, Z_xpt = xpoint.rzphi0[0], xpoint.rzphi0[1]\n", " print(f'Growing manifolds from X-point ({R_xpt:.4f}, {Z_xpt:.4f})')\n", " \n", " # Use the Jacobian from monodromy_X (2x2 monodromy matrix)\n", " M = monodromy_X.Jac\n", " eigvals = np.linalg.eigvals(M)\n", " print(f'Monodromy eigenvalues: {eigvals}')\n", " print(f'|lambda_1|={abs(eigvals[0]):.4f}, |lambda_2|={abs(eigvals[1]):.4f} (product~1: {abs(np.prod(eigvals)):.4f})')\n", " \n", " # Grow manifolds\n", " sm = StableManifold([R_xpt, Z_xpt], M, field_func_2d)\n", " um = UnstableManifold([R_xpt, Z_xpt], M, field_func_2d)\n", " sm.grow(n_turns=12, init_length=5e-5, n_init_pts=6, both_sides=True)\n", " um.grow(n_turns=12, init_length=5e-5, n_init_pts=6, both_sides=True)\n", " print(f'Stable segments: {len(sm.segments)}, Unstable segments: {len(um.segments)}')\n", " \n", " # Combined figure: Poincare + manifolds\n", " fig_mf, ax_mf = plt.subplots(figsize=(9, 8))\n", " ax_mf.set_facecolor('white')\n", " \n", " # Replot Poincare scatter (from existing results_n variable)\n", " try:\n", " R_pts = results_n[:, 0]; Z_pts = results_n[:, 1]\n", " psi_n = np.clip(((R_pts - R0)**2 + Z_pts**2) / r_res**2, 0, 1.4)\n", " from matplotlib.colors import Normalize\n", " import matplotlib.cm as cm\n", " colors_sc = cm.plasma(np.clip(psi_n / 1.4, 0.05, 0.95))\n", " ax_mf.scatter(R_pts, Z_pts, s=0.5, c=colors_sc, rasterized=True, alpha=0.5, zorder=2)\n", " except NameError:\n", " pass # Poincare results not available, skip\n", " \n", " # Manifolds with arc-length coloring\n", " for seg in sm.segments:\n", " if len(seg) > 2:\n", " lc, _ = _manifold_line_collection(seg, cmap='GnBu')\n", " lc.set_linewidth(1.3); lc.set_alpha(0.92); lc.set_zorder(6)\n", " ax_mf.add_collection(lc)\n", " \n", " for seg in um.segments:\n", " if len(seg) > 2:\n", " lc, _ = _manifold_line_collection(seg, cmap='Oranges')\n", " lc.set_linewidth(1.3); lc.set_alpha(0.92); lc.set_zorder(6)\n", " ax_mf.add_collection(lc)\n", " \n", " # X-point marker\n", " ax_mf.plot(R_xpt, Z_xpt, 'r+', ms=14, mew=2.5, zorder=8, label='X-point')\n", " \n", " # Also plot all found O/X points\n", " for op in o_points:\n", " ax_mf.plot(op.rzphi0[0], op.rzphi0[1], 'go', ms=7, mew=1.5, zorder=7)\n", " for xp in x_points:\n", " ax_mf.plot(xp.rzphi0[0], xp.rzphi0[1], 'r+', ms=12, mew=2.5, zorder=8)\n", " \n", " # Resonant surface circle\n", " theta_c = np.linspace(0, 2*np.pi, 300)\n", " ax_mf.plot(R0 + r_res*np.cos(theta_c), r_res*np.sin(theta_c),\n", " '--', color='tomato', lw=0.8, alpha=0.6, label='$q=2/1$ surface')\n", " ax_mf.plot(R0 + stellarator.r0*np.cos(theta_c), stellarator.r0*np.sin(theta_c),\n", " 'k-', lw=1.2, label='LCFS')\n", " \n", " # Legend + labels\n", " mfld_handles = manifold_legend_handles('Oranges', 'GnBu')\n", " ax_mf.legend(handles=mfld_handles + [\n", " plt.Line2D([0],[0], marker='+', color='r', ms=10, mew=2, lw=0, label='X-point'),\n", " plt.Line2D([0],[0], marker='o', color='g', ms=7, lw=0, label='O-point'),\n", " plt.Line2D([0],[0], color='k', lw=1.2, label='LCFS'),\n", " ], loc='upper right', fontsize=9, framealpha=0.9)\n", " \n", " ax_mf.set_xlim(R0 - 1.3*stellarator.r0, R0 + 1.3*stellarator.r0)\n", " ax_mf.set_ylim(-1.3*stellarator.r0, 1.3*stellarator.r0)\n", " ax_mf.set_xlabel('$R$ (m)', fontsize=12)\n", " ax_mf.set_ylabel('$Z$ (m)', fontsize=12)\n", " ax_mf.set_title('Stable ($W^s$, blue) & Unstable ($W^u$, orange) Manifolds ?$q=2/1$ X-point', fontsize=12)\n", " ax_mf.set_aspect('equal')\n", " plt.tight_layout()\n", " plt.savefig('island_manifolds.png', dpi=150, bbox_inches='tight')\n", " plt.show()\n", " print('Manifold figure done.')\n", "else:\n", " print('No X-point or monodromy available ?skipping manifold visualization.')\n" ] }, { "cell_type": "markdown", "id": "17a04733", "metadata": {}, "source": [ "## 5. Effect of Perturbation: Orbit Shift Under δB\n", "\n", "We add a small extra helical perturbation $\\delta B$ with amplitude `epsilon_pert`.\n", "The orbit displacement satisfies:\n", "$$\\frac{dX_{cyc}}{d\\phi} = A \\cdot X_{cyc} + \\delta b_{pol}$$\n", "\n", "where $\\delta b_{pol} = [R\\delta B_R/B_\\phi - R B_R \\delta B_\\phi/B_\\phi^2; \\text{same for Z}]$." ] }, { "cell_type": "code", "execution_count": 11, "id": "d208ea95", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:45.588954Z", "iopub.status.busy": "2026-03-15T05:01:45.588050Z", "iopub.status.idle": "2026-03-15T05:01:45.684240Z", "shell.execute_reply": "2026-03-15T05:01:45.683499Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing orbit shift for O-point under epsilon_pert=0.005...\n", " Initial orbit displacement: dR=0.000000, dZ=0.000000\n", " Max |displacement| along orbit: 0.000000 m\n", "Computing orbit shift for X-point under epsilon_pert=0.005...\n", " Initial orbit displacement: dR=0.000000, dZ=-0.000000\n" ] } ], "source": [ "epsilon_pert = 0.005 # perturbation amplitude\n", "\n", "# Build perturbed stellarator (slightly different helical phase to create delta B)\n", "stellarator_pert = SimpleStellarartor(\n", " R0=3.0, r0=0.35, B0=1.0,\n", " q0=1.5, q1=3.5,\n", " m_h=2, n_h=1, epsilon_h=epsilon_h + epsilon_pert,\n", ")\n", "\n", "def delta_field_func(rzphi):\n", " \"\"\"Perturbation field: difference between perturbed and unperturbed.\"\"\"\n", " f0 = np.asarray(field_func(rzphi))\n", " f1 = np.asarray(stellarator_pert.field_func(rzphi))\n", " # Note: field_func returns unit tangent vectors, not raw B fields.\n", " # For the orbit displacement, we use the difference in the phi-parameterized field.\n", " # The perturbation in terms of dR/dphi, dZ/dphi:\n", " g0 = np.array([f0[0]/f0[2], f0[1]/f0[2], 1.0])\n", " g1 = np.array([f1[0]/f1[2], f1[1]/f1[2], 1.0])\n", " return g1 - g0\n", "\n", "if opoint is not None and 'monodromy_O' in dir():\n", " print(f'Computing orbit shift for O-point under epsilon_pert={epsilon_pert}...')\n", " orbit_shift_O = orbit_shift_under_perturbation(\n", " field_func, delta_field_func, opoint, monodromy_O\n", " )\n", " \n", " print(f' Initial orbit displacement: dR={orbit_shift_O[0,0]:.6f}, dZ={orbit_shift_O[0,1]:.6f}')\n", " print(f' Max |displacement| along orbit: {np.max(np.linalg.norm(orbit_shift_O, axis=1)):.6f} m')\n", "\n", "if xpoint is not None and 'monodromy_X' in dir():\n", " print(f'Computing orbit shift for X-point under epsilon_pert={epsilon_pert}...')\n", " orbit_shift_X = orbit_shift_under_perturbation(\n", " field_func, delta_field_func, xpoint, monodromy_X\n", " )\n", " print(f' Initial orbit displacement: dR={orbit_shift_X[0,0]:.6f}, dZ={orbit_shift_X[0,1]:.6f}')" ] }, { "cell_type": "code", "execution_count": 12, "id": "4007dcd9", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:45.689778Z", "iopub.status.busy": "2026-03-15T05:01:45.689062Z", "iopub.status.idle": "2026-03-15T05:01:46.178901Z", "shell.execute_reply": "2026-03-15T05:01:46.177667Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if opoint is not None and 'orbit_shift_O' in dir():\n", " phi_arr_O = monodromy_O.phi_arr\n", " \n", " fig, axes = plt.subplots(2, 1, figsize=(10, 7))\n", " \n", " ax = axes[0]\n", " ax.plot(phi_arr_O/(2*np.pi), orbit_shift_O[:, 0], 'b-', label='δR(φ)')\n", " ax.plot(phi_arr_O/(2*np.pi), orbit_shift_O[:, 1], 'r-', label='δZ(φ)')\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('Orbit displacement (m)')\n", " ax.set_title(f'O-point orbit shift under δε={epsilon_pert}')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " if xpoint is not None and 'orbit_shift_X' in dir():\n", " phi_arr_X = monodromy_X.phi_arr\n", " ax = axes[1]\n", " ax.plot(phi_arr_X/(2*np.pi), orbit_shift_X[:, 0], 'b-', label='δR(φ)')\n", " ax.plot(phi_arr_X/(2*np.pi), orbit_shift_X[:, 1], 'r-', label='δZ(φ)')\n", " ax.set_xlabel('φ/(2π)')\n", " ax.set_ylabel('Orbit displacement (m)')\n", " ax.set_title(f'X-point orbit shift under δε={epsilon_pert}')\n", " ax.legend()\n", " ax.grid(True, alpha=0.3)\n", " \n", " plt.tight_layout()\n", " plt.savefig('orbit_shift.png', dpi=100, bbox_inches='tight')\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "f1106a71", "metadata": {}, "source": [ "## 6. Stability Diagram: Greene Residue vs Perturbation Amplitude\n", "\n", "Scan `epsilon_pert` from 0 to 0.02. For each amplitude:\n", "- Find O and X cycles\n", "- Compute Greene's residue $R_G = (2 - \\text{Tr}(M))/4$\n", "\n", "The transition $R_G: 0 \\to 1$ marks island destruction (KAM-like transition)." ] }, { "cell_type": "code", "execution_count": 13, "id": "4351d709", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:01:46.184745Z", "iopub.status.busy": "2026-03-15T05:01:46.184222Z", "iopub.status.idle": "2026-03-15T05:02:25.718663Z", "shell.execute_reply": "2026-03-15T05:02:25.717002Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing stability diagram (scanning epsilon_h)...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.005: R_G(X)=0.0024, R_G(O)=0.0024\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.008: R_G(X)=0.0325, R_G(O)=0.0325\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.011: R_G(X)=0.0852, R_G(O)=0.0852\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.015: R_G(X)=0.1612, R_G(O)=0.1612\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.018: R_G(X)=0.2615, R_G(O)=0.2615\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.021: R_G(X)=0.3873, R_G(O)=0.3873\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.024: R_G(X)=0.5402, R_G(O)=0.5402\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.027: R_G(X)=0.7220, R_G(O)=0.7220\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.030: R_G(X)=0.9348, R_G(O)=0.9348\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.034: R_G(X)=1.1812, R_G(O)=1.1812\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.037: R_G(X)=1.4640, R_G(O)=1.4640\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " eps=0.040: R_G(X)=1.7865, R_G(O)=1.7865\n", "Computed 12 data points\n" ] } ], "source": [ "print('Computing stability diagram (scanning epsilon_h)...')\n", "epsilon_arr = np.linspace(0.005, 0.04, 12)\n", "\n", "greene_O = [] # O-point Greene residues\n", "greene_X = [] # X-point Greene residues\n", "valid_eps = []\n", "\n", "for eps in epsilon_arr:\n", " st_eps = SimpleStellarartor(\n", " R0=3.0, r0=0.35, B0=1.0,\n", " q0=1.5, q1=3.5,\n", " m_h=2, n_h=1, epsilon_h=eps,\n", " )\n", " ff = st_eps.field_func\n", " \n", " # Find X-point near known seed (2.8763, -0.1237)\n", " orbit_x = find_cycle(\n", " ff, np.array([2.8763, -0.1237, 0.0]),\n", " n_turns=2, dt=0.15, RZlimit=RZlimit,\n", " max_iter=30, tol=1e-8, n_fallback_seeds=6, fallback_radius=0.02,\n", " )\n", " \n", " # Find O-point near known seed\n", " psi_r = st_eps.resonant_psi(2, 1)[0]\n", " r_r = np.sqrt(psi_r) * st_eps.r0\n", " opoint_seed = np.array([st_eps.R0 + r_r*np.cos(-2.32), r_r*np.sin(-2.32), 0.0])\n", " orbit_o = find_cycle(\n", " ff, opoint_seed,\n", " n_turns=2, dt=0.15, RZlimit=RZlimit,\n", " max_iter=30, tol=1e-8, n_fallback_seeds=8, fallback_radius=0.02,\n", " )\n", " \n", " rg_x = None\n", " rg_o = None\n", " \n", " if orbit_x is not None:\n", " M_x = orbit_x.Jac\n", " rg_x = (2.0 - np.trace(M_x)) / 4.0\n", " \n", " if orbit_o is not None:\n", " dist_axis = np.sqrt((orbit_o.rzphi0[0]-st_eps.R0)**2 + orbit_o.rzphi0[1]**2)\n", " if dist_axis > 0.05:\n", " M_o = orbit_o.Jac\n", " rg_o = (2.0 - np.trace(M_o)) / 4.0\n", " \n", " if rg_x is not None or rg_o is not None:\n", " valid_eps.append(eps)\n", " greene_X.append(rg_x)\n", " greene_O.append(rg_o)\n", " rg_x_str = f'{rg_x:.4f}' if rg_x is not None else 'N/A'\n", " rg_o_str = f'{rg_o:.4f}' if rg_o is not None else 'N/A'\n", " print(f' eps={eps:.3f}: R_G(X)={rg_x_str}, R_G(O)={rg_o_str}')\n", "\n", "print(f'Computed {len(valid_eps)} data points')" ] }, { "cell_type": "code", "execution_count": 14, "id": "85ceb27c", "metadata": { "execution": { "iopub.execute_input": "2026-03-15T05:02:25.723294Z", "iopub.status.busy": "2026-03-15T05:02:25.722442Z", "iopub.status.idle": "2026-03-15T05:02:26.117026Z", "shell.execute_reply": "2026-03-15T05:02:26.115403Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Stability diagram saved\n" ] } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 5))\n", "\n", "# Filter valid entries\n", "eps_X = [e for e, g in zip(valid_eps, greene_X) if g is not None]\n", "rg_X = [g for g in greene_X if g is not None]\n", "eps_O = [e for e, g in zip(valid_eps, greene_O) if g is not None]\n", "rg_O = [g for g in greene_O if g is not None]\n", "\n", "if eps_X:\n", " ax.plot(eps_X, rg_X, 'rx-', linewidth=2, markersize=8, label=\"X-point Greene's residue\")\n", "if eps_O:\n", " ax.plot(eps_O, rg_O, 'bo-', linewidth=2, markersize=8, label=\"O-point Greene's residue\")\n", "\n", "ax.axhline(0.0, color='k', linestyle='--', alpha=0.5, label='R_G=0 (elliptic boundary)')\n", "ax.axhline(1.0, color='k', linestyle=':', alpha=0.5, label='R_G=1 (hyperbolic boundary)')\n", "ax.fill_between([0, 0.05], 0, 1, alpha=0.1, color='green', label='Elliptic region')\n", "\n", "ax.set_xlabel('Helical ripple amplitude ε_h')\n", "ax.set_ylabel(\"Greene's residue R_G\")\n", "ax.set_title(\"Stability diagram: Greene's residue vs perturbation amplitude\\n\"\n", " f\"(q=2/1 island chain, m_h=2, n_h=1)\")\n", "ax.legend(loc='best')\n", "ax.grid(True, alpha=0.3)\n", "ax.set_xlim(0, 0.05)\n", "\n", "plt.tight_layout()\n", "plt.savefig('stability_diagram.png', dpi=100, bbox_inches='tight')\n", "plt.show()\n", "print('Stability diagram saved')" ] }, { "cell_type": "markdown", "id": "0949e7fb", "metadata": {}, "source": [ "## Summary\n", "\n", "This notebook demonstrated:\n", "\n", "1. **Periodic orbit finding** using Newton-Raphson on the Poincaré map\n", "2. **Jacobian evolution** along the orbit via variational equations\n", "3. **Monodromy matrix** $M = J(\\phi_0 + 2\\pi n)$ with det(M) ?1 (area preservation)\n", "4. **Greene's residue** $R_G$ as a stability indicator\n", "5. **Orbit shift under perturbation** using the periodic boundary condition\n", "6. **Stability diagram**: how island chain stability varies with perturbation amplitude\n", "\n", "Key results:\n", "- O-points have $0 < R_G < 1$ (elliptic, stable)\n", "- X-points have $R_G < 0$ or $R_G > 1$ (hyperbolic, unstable)\n", "- det(J(φ)) ?1 throughout, confirming area preservation (Hamiltonian structure)\n", "\n", "This analysis port from Julia (W7-X EFIT) to Python (analytic stellarator) demonstrates\n", "the same physical algorithms without proprietary equilibrium data." ] } ], "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }