{ "cells": [ { "cell_type": "markdown", "id": "96cbdc26", "metadata": {}, "source": [ "# Clock Model: Temperature Sweep and Discrete Symmetry Breaking\n", "\n", "The $q$-state clock model restricts the continuous XY angle to $q$ equally spaced orientations $\\theta_k = 2\\pi k/q$, with the Hamiltonian $H = -J \\sum_{\\langle i,j \\rangle} \\cos(\\theta_i - \\theta_j) - A \\sum_i \\cos(q\\,\\theta_i)$, where $A$ is a crystal-field anisotropy strength that favours the discrete directions. For $q = 2$ the model reduces to the Ising model, while in the limit $q \\to \\infty$ it recovers the XY model. The intermediate case $q = 6$ (the default used here) displays rich phase structure: for sufficiently large $q$ the system undergoes two Berezinskii-Kosterlitz-Thouless-type crossovers rather than a single sharp phase transition. The lower transition is a discrete locking transition at which spins select among the $q$ preferred axes, and the upper transition is a vortex-unbinding crossover analogous to the XY BKT transition [[1]](#Bibliography) [[2]](#Bibliography).\n", "\n", "This notebook presents a thermodynamic temperature sweep that records magnetization, energy, susceptibility, specific heat, entropy, and integrated autocorrelation time across these regimes. The high-temperature entropy reference for the clock model is $S_{\\mathrm{ref}} = \\ln q$ per site, reflecting equipartition over the $q$ allowed orientations [[2]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 1, "id": "e0e61b2f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Clock states q = 6\n", "High-T entropy reference S_ref = ln(6) = 1.7918\n", "Repository root: /workspaces/vibespin\n", "Primary sweep path: /workspaces/vibespin/results/clock/temperature_sweep_data.npz\n" ] } ], "source": [ "from __future__ import annotations\n", "\n", "from pathlib import Path\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from models.clock_model import ClockSimulation\n", "from utils.exceptions import ZeroVarianceAutocorrelationError\n", "from utils.statistics import (\n", " DEFAULT_CONFIDENCE_LEVEL,\n", " calculate_autocorr,\n", " summarize_derived_observable,\n", " summarize_entropy_observable,\n", " summarize_primary_observable,\n", ")\n", "from utils.equilibration import (\n", " convergence_equilibrate,\n", " estimate_relaxation_time_two_start,\n", " _detect_quasi_steady_stuck,\n", ")\n", "\n", "\n", "def _find_repo_root() -> Path:\n", " cwd = Path.cwd().resolve()\n", " for candidate in (cwd, *cwd.parents):\n", " if (candidate / 'pyproject.toml').exists() and (candidate / 'results').exists():\n", " return candidate\n", " return cwd\n", "\n", "\n", "REPO_ROOT = _find_repo_root()\n", "Q_DEFAULT = 6\n", "S_REF = np.log(Q_DEFAULT)\n", "CACHE_PATH = REPO_ROOT / 'results' / 'clock' / 'temperature_sweep_data.npz'\n", "PALETTE = {\n", " 'mag': '#4878CF',\n", " 'eng': '#6ACC65',\n", " 'chi': '#EE854A',\n", " 'cv': '#D65F5F',\n", " 'entropy': '#956CB4',\n", " 'tau': '#8C613C',\n", "}\n", "\n", "plt.rcParams['figure.dpi'] = 120\n", "\n", "print(f'Clock states q = {Q_DEFAULT}')\n", "print(f'High-T entropy reference S_ref = ln({Q_DEFAULT}) = {S_REF:.4f}')\n", "print(f'Repository root: {REPO_ROOT}')\n", "print(f'Primary sweep path: {CACHE_PATH}')" ] }, { "cell_type": "markdown", "id": "ec0fac01", "metadata": {}, "source": [ "## Ordered and Disordered Configurations\n", "\n", "Below the lower transition, all spins lock to a single preferred axis and the snapshot is nearly uniform in color. Between the two transitions the system exhibits quasi-long-range order with slowly varying patches (similar to the XY quasi-ordered phase). Above the upper transition the field becomes short-range correlated and the angle distribution fills all $q$ states. The snapshots below use an HSV colormap on the local angle $\\theta_i$ after equilibration with checkerboard Metropolis updates on a $48 \\times 48$ lattice." ] }, { "cell_type": "code", "execution_count": 2, "id": "e1ea0e13", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "convergence_equilibrate: detected quasi-steady stuck state before max_steps=6000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=6000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=6000; stopping early without convergence.\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def _equilibrated_state(*, temp: float, size: int = 48, seed: int = 0) -> np.ndarray:\n", " sim_random = ClockSimulation(\n", " size=size,\n", " temp=temp,\n", " q=Q_DEFAULT,\n", " update='checkerboard',\n", " init_state='random',\n", " seed=seed,\n", " )\n", " sim_ordered = ClockSimulation(\n", " size=size,\n", " temp=temp,\n", " q=Q_DEFAULT,\n", " update='checkerboard',\n", " init_state='ordered',\n", " seed=seed,\n", " )\n", " convergence_equilibrate(\n", " sim_random,\n", " sim_ordered,\n", " chunk_size=120,\n", " max_steps=6000,\n", " )\n", " sim_random.run(n_steps=200)\n", " return np.array(sim_random.spins, copy=True)\n", "\n", "snapshot_temperatures = [0.3, 0.7, 1.2]\n", "snapshot_titles = ['Low $T$ (locked)', 'Intermediate $T$ (quasi-ordered)', 'High $T$ (disordered)']\n", "snapshot_states = [\n", " _equilibrated_state(temp=float(temp), seed=300 + idx)\n", " for idx, temp in enumerate(snapshot_temperatures)\n", "]\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(13, 4.5))\n", "for ax, spins, title, temp in zip(axes, snapshot_states, snapshot_titles, snapshot_temperatures):\n", " angles = np.arctan2(spins[:, :, 1], spins[:, :, 0])\n", " ax.imshow(angles, cmap='hsv', vmin=-np.pi, vmax=np.pi, interpolation='nearest')\n", " ax.set_title(f'{title}\\n$T = {temp:.2f}$')\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", "\n", "fig.suptitle(f'Equilibrated $q = {Q_DEFAULT}$ clock model snapshots (spin angle)', y=0.98)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9b19b30d", "metadata": {}, "source": [ "## Load or Compute Sweep Data\n", "\n", "The notebook first checks for precomputed data at `results/clock/temperature_sweep_data.npz` (produced by `scripts/clock/temperature_sweep.py`). If the cache contains a sufficiently dense temperature grid with all required uncertainty fields, plots are built directly from those arrays. Otherwise a lightweight fallback sweep runs inline on a small lattice with reduced measurement steps. The fallback results are noisier but show the qualitative shape of each observable curve across the two crossover regions." ] }, { "cell_type": "code", "execution_count": 3, "id": "bee7e0ea", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=12000; stopping early without convergence.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Computed a lightweight checkerboard-Metropolis fallback sweep because cache exists but only provides 2 temperature points.\n", "Temperature points: 15\n", "retained seeds = 1 / requested seeds = 1, confidence level = 0.68\n", "Excluded points in thermodynamic plots: 0\n" ] } ], "source": [ "REQUIRED_KEYS = {\n", " 'temperatures',\n", " 'avg_m_value', 'avg_m_ci_low', 'avg_m_ci_high', 'avg_m_n_eff',\n", " 'avg_e_value', 'avg_e_ci_low', 'avg_e_ci_high',\n", " 'susc_value', 'susc_ci_low', 'susc_ci_high',\n", " 'spec_h_value', 'spec_h_err', 'spec_h_ci_low', 'spec_h_ci_high',\n", " 'tau_int',\n", " 'undefined_autocorr_flag', 'tau_interval_unstable_flag',\n", "}\n", "\n", "fallback_meas_steps = 1200\n", "\n", "\n", "def _run_local_sweep_point(\n", " *,\n", " temp: float,\n", " size: int,\n", " meas_steps: int,\n", " eq_probe_steps: int,\n", " eq_max_steps: int,\n", " seed: int,\n", ") -> dict[str, float]:\n", " sim_random = ClockSimulation(\n", " size=size,\n", " temp=temp,\n", " q=Q_DEFAULT,\n", " update='checkerboard',\n", " init_state='random',\n", " seed=seed,\n", " )\n", " sim_ordered = ClockSimulation(\n", " size=size,\n", " temp=temp,\n", " q=Q_DEFAULT,\n", " update='checkerboard',\n", " init_state='ordered',\n", " seed=seed,\n", " )\n", " convergence_equilibrate(\n", " sim_random,\n", " sim_ordered,\n", " chunk_size=eq_probe_steps,\n", " max_steps=eq_max_steps,\n", " )\n", "\n", " mags, engs = sim_random.run(n_steps=meas_steps)\n", " mags_arr = np.asarray(mags, dtype=float)\n", " engs_arr = np.asarray(engs, dtype=float)\n", "\n", " mag = summarize_primary_observable(\n", " time_series=mags_arr,\n", " confidence=DEFAULT_CONFIDENCE_LEVEL,\n", " )\n", " eng = summarize_primary_observable(\n", " time_series=engs_arr,\n", " confidence=DEFAULT_CONFIDENCE_LEVEL,\n", " )\n", " chi = summarize_derived_observable(\n", " magnetization_series=mags_arr,\n", " temperature=temp,\n", " L=size,\n", " observable='chi',\n", " confidence=DEFAULT_CONFIDENCE_LEVEL,\n", " )\n", " cv = summarize_derived_observable(\n", " energy_series=engs_arr,\n", " temperature=temp,\n", " L=size,\n", " observable='cv',\n", " confidence=DEFAULT_CONFIDENCE_LEVEL,\n", " )\n", "\n", " return {\n", " 'avg_m_value': float(mag['value']),\n", " 'avg_m_ci_low': float(mag['ci_low']),\n", " 'avg_m_ci_high': float(mag['ci_high']),\n", " 'avg_m_n_eff': float(mag['n_eff']),\n", " 'avg_e_value': float(eng['value']),\n", " 'avg_e_ci_low': float(eng['ci_low']),\n", " 'avg_e_ci_high': float(eng['ci_high']),\n", " 'susc_value': float(chi['value']),\n", " 'susc_ci_low': float(chi['ci_low']),\n", " 'susc_ci_high': float(chi['ci_high']),\n", " 'spec_h_value': float(cv['value']),\n", " 'spec_h_err': float(cv['err']),\n", " 'spec_h_ci_low': float(cv['ci_low']),\n", " 'spec_h_ci_high': float(cv['ci_high']),\n", " 'tau_int': float(mag['tau_int']),\n", " 'tau_int_ci_low': float(mag['ci_low']) if not np.isfinite(mag['tau_int']) else float(max(0.0, mag['tau_int'] - mag['err'])),\n", " 'tau_int_ci_high': float(mag['ci_high']) if not np.isfinite(mag['tau_int']) else float(mag['tau_int'] + mag['err']),\n", " }\n", "\n", "\n", "cache_loaded = False\n", "cache_reason = ''\n", "requested_n_seeds = 1\n", "retained_n_seeds = 1\n", "\n", "if CACHE_PATH.exists():\n", " cache = np.load(CACHE_PATH)\n", " if REQUIRED_KEYS.issubset(set(cache.files)) and int(cache['temperatures'].size) >= 10:\n", " temperatures = np.asarray(cache['temperatures'], dtype=float)\n", " avg_m = np.asarray(cache['avg_m_value'], dtype=float)\n", " avg_m_ci_low = np.asarray(cache['avg_m_ci_low'], dtype=float)\n", " avg_m_ci_high = np.asarray(cache['avg_m_ci_high'], dtype=float)\n", " avg_m_n_eff = np.asarray(cache['avg_m_n_eff'], dtype=float)\n", " avg_e = np.asarray(cache['avg_e_value'], dtype=float)\n", " avg_e_ci_low = np.asarray(cache['avg_e_ci_low'], dtype=float)\n", " avg_e_ci_high = np.asarray(cache['avg_e_ci_high'], dtype=float)\n", " susc = np.asarray(cache['susc_value'], dtype=float)\n", " susc_ci_low = np.asarray(cache['susc_ci_low'], dtype=float)\n", " susc_ci_high = np.asarray(cache['susc_ci_high'], dtype=float)\n", " spec_h = np.asarray(cache['spec_h_value'], dtype=float)\n", " spec_h_err = np.asarray(cache['spec_h_err'], dtype=float)\n", " spec_h_ci_low = np.asarray(cache['spec_h_ci_low'], dtype=float)\n", " spec_h_ci_high = np.asarray(cache['spec_h_ci_high'], dtype=float)\n", " tau_int = np.asarray(cache['tau_int'], dtype=float)\n", " tau_int_ci_low = (\n", " np.asarray(cache['tau_int_ci_low'], dtype=float)\n", " if 'tau_int_ci_low' in cache.files\n", " else tau_int\n", " )\n", " tau_int_ci_high = (\n", " np.asarray(cache['tau_int_ci_high'], dtype=float)\n", " if 'tau_int_ci_high' in cache.files\n", " else tau_int\n", " )\n", " undefined_autocorr_flag = np.asarray(cache['undefined_autocorr_flag'], dtype=np.uint8)\n", " tau_interval_unstable_flag = np.asarray(cache['tau_interval_unstable_flag'], dtype=np.uint8)\n", " low_effective_sample_flag = (\n", " np.asarray(cache['low_effective_sample_flag'], dtype=np.uint8)\n", " if 'low_effective_sample_flag' in cache.files\n", " else np.zeros_like(temperatures, dtype=np.uint8)\n", " )\n", " entropy = (\n", " np.asarray(cache['entropy_value'], dtype=float)\n", " if 'entropy_value' in cache.files\n", " else np.asarray(cache['entropy'], dtype=float)\n", " )\n", " entropy_ci_low = (\n", " np.asarray(cache['entropy_ci_low'], dtype=float)\n", " if 'entropy_ci_low' in cache.files\n", " else np.asarray(cache['entropy'], dtype=float)\n", " )\n", " entropy_ci_high = (\n", " np.asarray(cache['entropy_ci_high'], dtype=float)\n", " if 'entropy_ci_high' in cache.files\n", " else np.asarray(cache['entropy'], dtype=float)\n", " )\n", " confidence_level = float(cache['confidence_level']) if 'confidence_level' in cache.files else DEFAULT_CONFIDENCE_LEVEL\n", " requested_n_seeds = int(cache['requested_n_seeds']) if 'requested_n_seeds' in cache.files else int(cache['n_seeds']) if 'n_seeds' in cache.files else 1\n", " retained_n_seeds = int(cache['retained_n_seeds']) if 'retained_n_seeds' in cache.files else int(cache['n_seeds']) if 'n_seeds' in cache.files else 1\n", " n_seeds = retained_n_seeds\n", " data_source = (\n", " f'Loaded cached sweep from {CACHE_PATH} '\n", " f'using {retained_n_seeds} retained seeds '\n", " f'out of {requested_n_seeds} requested.'\n", " )\n", " cache_loaded = True\n", " else:\n", " n_cached = int(cache['temperatures'].size) if 'temperatures' in cache.files else 0\n", " cache_reason = f'cache exists but only provides {n_cached} temperature points'\n", "else:\n", " cache_reason = 'cache file not found'\n", "\n", "if not cache_loaded:\n", " temperatures = np.linspace(0.1, 1.6, 15)\n", " avg_m = np.empty_like(temperatures)\n", " avg_m_ci_low = np.empty_like(temperatures)\n", " avg_m_ci_high = np.empty_like(temperatures)\n", " avg_m_n_eff = np.empty_like(temperatures)\n", " avg_e = np.empty_like(temperatures)\n", " avg_e_ci_low = np.empty_like(temperatures)\n", " avg_e_ci_high = np.empty_like(temperatures)\n", " susc = np.empty_like(temperatures)\n", " susc_ci_low = np.empty_like(temperatures)\n", " susc_ci_high = np.empty_like(temperatures)\n", " spec_h = np.empty_like(temperatures)\n", " spec_h_err = np.empty_like(temperatures)\n", " spec_h_ci_low = np.empty_like(temperatures)\n", " spec_h_ci_high = np.empty_like(temperatures)\n", " tau_int = np.empty_like(temperatures)\n", " tau_int_ci_low = np.empty_like(temperatures)\n", " tau_int_ci_high = np.empty_like(temperatures)\n", " spec_h_samples = np.empty((temperatures.size, 1), dtype=float)\n", "\n", " for idx, temp in enumerate(temperatures):\n", " point = _run_local_sweep_point(\n", " temp=float(temp),\n", " size=32,\n", " meas_steps=fallback_meas_steps,\n", " eq_probe_steps=150,\n", " eq_max_steps=12_000,\n", " seed=2_000 + idx,\n", " )\n", " avg_m[idx] = point['avg_m_value']\n", " avg_m_ci_low[idx] = point['avg_m_ci_low']\n", " avg_m_ci_high[idx] = point['avg_m_ci_high']\n", " avg_m_n_eff[idx] = point['avg_m_n_eff']\n", " avg_e[idx] = point['avg_e_value']\n", " avg_e_ci_low[idx] = point['avg_e_ci_low']\n", " avg_e_ci_high[idx] = point['avg_e_ci_high']\n", " susc[idx] = point['susc_value']\n", " susc_ci_low[idx] = point['susc_ci_low']\n", " susc_ci_high[idx] = point['susc_ci_high']\n", " spec_h[idx] = point['spec_h_value']\n", " spec_h_err[idx] = point['spec_h_err']\n", " spec_h_ci_low[idx] = point['spec_h_ci_low']\n", " spec_h_ci_high[idx] = point['spec_h_ci_high']\n", " tau_int[idx] = point['tau_int']\n", " tau_int_ci_low[idx] = point['tau_int_ci_low']\n", " tau_int_ci_high[idx] = point['tau_int_ci_high']\n", " spec_h_samples[idx, 0] = point['spec_h_value']\n", "\n", " entropy_bundle = summarize_entropy_observable(\n", " temperatures=temperatures,\n", " specific_heat_samples=spec_h_samples,\n", " specific_heat_err=spec_h_err,\n", " confidence=DEFAULT_CONFIDENCE_LEVEL,\n", " method='blocking',\n", " )\n", " entropy = np.asarray(entropy_bundle['value'], dtype=float)\n", " entropy_ci_low = np.asarray(entropy_bundle['ci_low'], dtype=float)\n", " entropy_ci_high = np.asarray(entropy_bundle['ci_high'], dtype=float)\n", " undefined_autocorr_flag = (~np.isfinite(tau_int)).astype(np.uint8)\n", " rel_width = (tau_int_ci_high - tau_int_ci_low) / np.maximum(np.abs(tau_int), 1e-12)\n", " tau_interval_unstable_flag = np.asarray(\n", " np.isfinite(rel_width) & (rel_width > 1.0),\n", " dtype=np.uint8,\n", " )\n", " low_effective_sample_flag = np.asarray(\n", " np.isfinite(avg_m_n_eff) & (avg_m_n_eff < 20.0),\n", " dtype=np.uint8,\n", " )\n", " confidence_level = DEFAULT_CONFIDENCE_LEVEL\n", " n_seeds = 1\n", " requested_n_seeds = 1\n", " retained_n_seeds = 1\n", " data_source = (\n", " 'Computed a lightweight checkerboard-Metropolis fallback sweep '\n", " f'because {cache_reason}.'\n", " )\n", "\n", "exclude_from_thermo_plots = undefined_autocorr_flag > 0\n", "\n", "avg_m_plot = np.where(exclude_from_thermo_plots, np.nan, avg_m)\n", "avg_m_ci_low_plot = np.where(exclude_from_thermo_plots, np.nan, avg_m_ci_low)\n", "avg_m_ci_high_plot = np.where(exclude_from_thermo_plots, np.nan, avg_m_ci_high)\n", "avg_e_plot = np.where(exclude_from_thermo_plots, np.nan, avg_e)\n", "avg_e_ci_low_plot = np.where(exclude_from_thermo_plots, np.nan, avg_e_ci_low)\n", "avg_e_ci_high_plot = np.where(exclude_from_thermo_plots, np.nan, avg_e_ci_high)\n", "susc_plot = np.where(exclude_from_thermo_plots, np.nan, susc)\n", "susc_ci_low_plot = np.where(exclude_from_thermo_plots, np.nan, susc_ci_low)\n", "susc_ci_high_plot = np.where(exclude_from_thermo_plots, np.nan, susc_ci_high)\n", "spec_h_plot = np.where(exclude_from_thermo_plots, np.nan, spec_h)\n", "spec_h_ci_low_plot = np.where(exclude_from_thermo_plots, np.nan, spec_h_ci_low)\n", "spec_h_ci_high_plot = np.where(exclude_from_thermo_plots, np.nan, spec_h_ci_high)\n", "entropy_plot = np.where(exclude_from_thermo_plots, np.nan, entropy)\n", "entropy_ci_low_plot = np.where(exclude_from_thermo_plots, np.nan, entropy_ci_low)\n", "entropy_ci_high_plot = np.where(exclude_from_thermo_plots, np.nan, entropy_ci_high)\n", "\n", "print(data_source)\n", "print(f'Temperature points: {temperatures.size}')\n", "print(\n", " f'retained seeds = {retained_n_seeds} / requested seeds = {requested_n_seeds}, '\n", " f'confidence level = {confidence_level:.2f}'\n", ")\n", "print(f'Excluded points in thermodynamic plots: {int(np.sum(exclude_from_thermo_plots))}')" ] }, { "cell_type": "markdown", "id": "5cbba93d", "metadata": {}, "source": [ "## Convergence Diagnostics\n", "\n", "The two-start protocol runs pairs of random-start and ordered-start simulations until their smoothed magnetization traces overlap. In the locked phase the ordered start is the natural ground state and convergence is fast. Around the intermediate quasi-ordered regime the two traces take longer to merge because the energy landscape has multiple shallow basins associated with different orientational domains. The three panels below show the convergence behavior at representative temperatures." ] }, { "cell_type": "code", "execution_count": 4, "id": "15a6e904", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diagnostic_temps = [0.3, 0.7, 1.2]\n", "diagnostic_titles = ['Low $T$ (locked)', 'Intermediate $T$', 'High $T$ (disordered)']\n", "diagnostic_steps = 1500\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4.5), sharey=True)\n", "\n", "for ax, t, title in zip(axes, diagnostic_temps, diagnostic_titles):\n", " sim_r = ClockSimulation(size=32, temp=t, q=Q_DEFAULT, update='checkerboard', init_state='random', seed=42)\n", " sim_o = ClockSimulation(size=32, temp=t, q=Q_DEFAULT, update='checkerboard', init_state='ordered', seed=42)\n", "\n", " m_r_list, _ = sim_r.run(n_steps=diagnostic_steps)\n", " m_o_list, _ = sim_o.run(n_steps=diagnostic_steps)\n", "\n", " m_r = np.asarray(m_r_list, dtype=float)\n", " m_o = np.asarray(m_o_list, dtype=float)\n", "\n", " tau_est = estimate_relaxation_time_two_start(m_r, m_o, smooth_window=60, dwell_window=60)\n", "\n", " smooth_r = np.convolve(m_r, np.ones(60) / 60, mode='valid')\n", " smooth_o = np.convolve(m_o, np.ones(60) / 60, mode='valid')\n", " is_stuck = _detect_quasi_steady_stuck(smooth_r, smooth_o, lattice_size=32)\n", "\n", " ax.plot(m_r, color=PALETTE['mag'], alpha=0.3)\n", " ax.plot(m_o, color=PALETTE['eng'], alpha=0.3)\n", " ax.plot(np.arange(59, diagnostic_steps), smooth_r, color=PALETTE['mag'], lw=2, label='Random start')\n", " ax.plot(np.arange(59, diagnostic_steps), smooth_o, color=PALETTE['eng'], lw=2, label='Ordered start')\n", "\n", " status_text = 'Converged'\n", " if tau_est < diagnostic_steps:\n", " ax.axvline(tau_est, color='0.2', ls='--', lw=1.5, label='Convergence achieved')\n", " else:\n", " if t < 0.5 and is_stuck:\n", " status_text = 'Stuck (Quasi-steady)'\n", " else:\n", " status_text = 'Not converged'\n", "\n", " ax.set_title(f'{title} ($T = {t:.2f}$)\\nStatus: {status_text}')\n", " ax.set_xlabel('Monte Carlo steps')\n", " if ax is axes[0]:\n", " ax.set_ylabel(r'Order parameter $|M|$')\n", " ax.grid(alpha=0.25)\n", "\n", "axes[0].legend(fontsize=9, loc='lower right')\n", "fig.suptitle(f'Equilibration Traces: Random vs Ordered Starts ($q = {Q_DEFAULT}$ clock model)', y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "10a7444b", "metadata": {}, "source": [ "## Magnetization and Energy\n", "\n", "The clock-model magnetization $|M|$ transitions from near-unity in the locked phase through a gradual decay in the quasi-ordered regime to near-zero in the disordered phase, with two inflection regions corresponding to the two crossovers. The energy per spin approaches the ground-state limit of $-2J$ as $T \\to 0$ (the same ground-state energy as the XY model, since at $T = 0$ all spins align and the anisotropy term is maximized) and increases smoothly as thermal fluctuations excite spin-wave and vortex modes [[1]](#Bibliography) [[2]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 5, "id": "eb82f7f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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FQlFv+ZNPPomysjIsX74cCxYsiKh78803w0mlaCmVSgBVz3l9bDZbg6/phvrY0s/TvHnzMG/ePNhsNmzZsgWrV6/GK6+8ghkzZuDAgQPh0YsXXHAB1qxZg7Vr12LLli3Q6XSYOHFiuO6TTz6Bz+fDpk2bMGTIEKSlpZ1Vn5t7nrFcP+2tOefY0tdoLJrz3g/E/pxEc02ezeugodcWAFx55ZVISEjAv//9b/zlL39BWVkZPvnkEwwfPhzDhw+PaNvc5+Jsr9HmnHu0r3MiIqKOSNneHSAiImqMJEmQJCk88udMDz30EAA0OVL26aefxpIlS6L+99577zW6v+nTp0OhUGDfvn31jiLbs2cPAKBXr15NnuO5554LAPjkk0+abFuf6kT7hg0b6tTl5ubi5MmT6NWrV0SSrLnHvO+++/DUU09h586dmDp1aoMfwltbrOdcfX1s3LixTvvNmzcjGAzWKa+O0aZNm1qo15Gqv+Je37Hb4vjR+u677+BwOOqUV8e+9h96WrrPubm5AIBZs2bVqavvuWwqptV/5Dlx4kS9x2rOKNnWep6sVisuvfRSvPjii1iwYAHKy8vx5Zdfhuurp5lZu3Yt1q1bh/POOw86nS5cV15ejueeew4ul6vOlDTN6XNzzzOW66e9NeccY71GW1Jz3vuB5j8njV2TrfU60Ov1uPrqq1FYWIgvvvgCb7zxBmRZrnfaieY+F2d7jZ7NuTf1OiciIuqImEwmIqIOTa1Wo1+/fsjPz8f69evD5UIIPPTQQ3jnnXcANP1hLy8vD6Jq4dmo/r366quN7q9Hjx647LLLkJ+fj7///e8RdZ9//jk+++wzWK1WXHzxxU2e46233gqVSoWHH34Y+/btq1Pf0Fy21a6//noAwCOPPIKSkpJweTAYxN13341QKIQbbrihxY65cOFCPPfcc9i7dy+mTJmCwsLCRvvXGmI95+pRan/+859RXl4eLvd6vbjvvvvqPcbtt98OtVqNO++8E4cOHapT7/f7zypxkpiYCIVCgfz8/HY5frTsdnv4jzbVvvnmG7z++uuwWCy48sorW63P1VPInJks++yzz/DSSy/Vad9UTAcOHIiEhAS8//77KC4uDpd7PB789re/jbpftbXkOa9fvx5CiDrl1X01GAzhslGjRsFiseD999/H3r17IxLG1VNaPProoxGPz6bPzT3PWK4foGo07YEDB1ps+otYNOccY71GW1Jz3vuB2J6TaK/J1ny/qn7/fu211/Daa69BpVLhuuuuq9Ouuc9FrNfomWI991he50RERB0Rp7kgIqIO75577sH111+Pn/70p/j5z3+OpKQkfPHFF3A4HBg8eDD27dt3VnP4Ntc///lP7Ny5E7/73e/w0UcfYeTIkTh27Bjee+89SJKEl156KaqvcA8ePBjLli3DLbfcgpEjR+KKK65Av379UFZWhh07diAhISEikX6m8847D/fccw/++te/YujQoZg9ezaMRiM++eQT7NmzB5MmTcLvf//7Fj3mLbfcAp1OhxtuuAHnn38+1q1bh5ycnOiDd5ZiPeeJEyfiN7/5Df7xj3+E26vVarz//vtITEysd87RgQMH4pVXXsH111+PIUOG4OKLL0b//v0RCASQn5+PTZs2ITU1FQcOHGjWOZhMJowfPx6bNm3Cddddh/79+0OSJFx++eU455xzWv340Tr//PPx0ksvYdu2bZg4cSJOnTqFt99+G6FQCM8//3zE17pbus+33XYbli9fjjlz5mD27NnIysrCnj178Omnn+Lqq6/G22+/HdG+qZiq1WrccccdePjhhzFy5EhceeWVkGUZa9asQVZWVnjBtli05DlfeeWVMJlMOPfcc9GzZ08IIbBp0ybs2LEDo0ePxk9+8pNwW0mSMHXqVLz//vsAEJFM7tGjB/r06YMjR45AkqQ6C082p8/NPc9Yrh+g6tsPK1asqHeqgtbWnHOM9RptSc157wdie06ivSZb8/1q4sSJ6Nu3L9555x0EAgFcdtllEdO2VGvucxHrNXqmWM89ltc5ERFRhySIiIjiwBNPPCF69uwpNBqN6Nmzp7j77rtFRUWFSE5OFhkZGe3Wr+LiYnH77beLnJwcoVarRXJyspg5c6bYtm1bzPvasmWLuOqqq0RqaqpQq9UiMzNTzJgxQ7zzzjvhNseOHRMAxPz58+ts/+abb4qJEycKk8kktFqtGDx4sHjkkUeEx+NptWO+8cYbQqVSiR49eogjR440en6N7UcIIQCIKVOm1FvXo0cP0aNHjzrlsZxzKBQS//jHP8TAgQOFRqMRmZmZ4rbbbhM2m63B/QshxO7du8X8+fNFTk6O0Gg0IjExUQwZMkTcdNNNYu3atVGfX30OHz4sfvazn4mkpCShUCgEALF8+fJWOX6s8a29v3379onLL79cWK1WodfrxXnnnSc+/fTTBs+rJWP21VdfiWnTpgmr1SpMJpOYOHGiWL16tVi/fr0AIB588MGI9k3FNBQKiUcffVT07t1bqNVqkZ2dLX7/+98Ll8vVZBwaE+05N+a5554TM2fOFL169RJ6vV4kJiaKESNGiMcff1xUVlbWaf/MM88IACIhIUHIshxRd9NNNwkAYty4cS3a5+Y8t7FcP/Pnz6/3ddCQ1nhfiTUusVyjTfV3ypQpItaPaNG+DzbnOYn1mowldrG8Zz788MMCgAAgVq1a1WC75j4X0cajsT5He+6xxpSIiKijUQhRz3dsiIiI4sCJEyeQk5ODSy+9FB999FF7d4eoU8nLy0OvXr0wf/78Jqd9IToTrx8iIiKizolzJhMRUdzauXMngKYX3yMiIiIiIiKis8dkMhERxa3qZHJTi+8RERERERER0dljMpmIiOIWRyYTERERERERtR3OmUxERERERERERERETeLIZCIiIiIiIiIiIiJqEpPJRERERERERERERNQkJpOJiIiIiIiIiIiIqElMJhMRERERERERERFRk5hMJiIiIiIiIiIiIqImMZlMRERERERERERERE1iMpmIiIiIiIiIiIiImsRkMhERERERERERERE1iclkIiIiIiIiIiIiImoSk8lERERERERERERE1CQmk4mIiIiIiIiIiIioSUwmExEREREREREREVGTmEwmIiIiIiIiIiIioiYxmUxERERERERERERETWIymYiIiIiIiIiIiIiaxGQyERERERERERERETWJyWQiIiIiIiIiIiIiahKTyURERERERERERETUJCaTiYiIiIiIiIiIiKhJTCYTERERERERERERUZOYTCYiIiIiIiIiIiKiJjGZTERERERERERERERNYjKZiIiIiIiIiIiIiJrEZDIRERERERERERERNYnJZCIiIiIiIiIiIiJqEpPJRERERERERERERNQkJpOJiIiIiIiIiIiIqElMJhMRERERERERERFRk5hMJiIiIiIiIiIiIqImMZlMRERERERERERERE1iMpmIiIiIiIiIiIiImsRkMhERERERERERERE1iclkIiIiIiIiIiIiImoSk8lERERERERERERE1CQmk4mIiIiIiIiIiIioSUwmExEREREREREREVGTmEwmIiIiIiIiIiIioiYxmUxERERERERERERETWIymYiIiIiIiIiIiIiaxGQyERERERERERERETWJyWQiIiIiIiIiIiIiahKTyURERERERERERETUJCaTiYiIiIiIiIiIiKhJTCYTERERERERERERUZOYTCYiIiIiIiIiIiKiJjGZTERERERERERERERNYjKZiIiIiIiIiIiIiJrEZDIRERERERERERERNYnJZCKiZsjLy4NCocCCBQvauytERERERNQBxcNnhnjoIxF1LEwmE1Gn8M033+BXv/oVevfuDb1ej4SEBAwbNgy///3vUVBQ0N7dow5kwYIFUCgUyMvLa++uEBEREXU4CoWiyX8bNmxo725SK+M9MxE1RNXeHSAiOhtCCCxatAh//etfoVKpcOGFF2LOnDnw+/3YsmUL/va3v2HZsmVYsWIFZs+e3d7dJSIiIiKKCw8++GCDdT179my7jlCr6tatG/bv3w+LxdLeXSGiOMFkMhHFtYcffhh//etf0bNnT3z44YcYMmRIRP27776LX/ziF7jmmmuwZs0aTJs2rZ16SkREREQUPxYvXtzeXaA2oFarMXDgwPbuBhHFEU5zQURxKy8vDw8//DDUajU++OCDOolkAJg1axaeeuopBINB3HrrrQiFQuG6V199FQqFAq+++io+/fRTTJ06FRaLBQqFItzG4XDgd7/7Hbp37w6dToeBAwfiySefjNjPmdxuNx599FGMGDECRqMRJpMJEyZMwJtvvlmn7YYNG6BQKLB48WJs374dP/3pT5GUlBTVV8oWL14c/prhihUrMHLkSOj1eqSlpeH666/H6dOn62zz7bff4o477sDw4cORlJQEnU6Hfv364a677kJFRUWd9tHE6L333sMvfvEL9O/fH0ajEUajEaNHj8YzzzxTb5yqvzJ37NgxPPvssxg8eDB0Oh169uyJv/zlLxBCAADeeecdjBs3DkajEWlpabj99tvh8XjqjcWBAwewYMECZGdnQ6PRID09Hddeey0OHjwY0U6hUGDFihUAgF69eoW/qnnm6Jry8nLcd999GDRoEPR6PSwWC6ZPn47PP/+8WTEiIiIi6qxq35OuWrUK48aNg8FgQFJSEq655poGp5xr6fstu92OhQsX1rlvP3r0aJ05gX/+859DoVBg48aN9fbt3XffhUKhwO233x5VDNryM8P333+Pn/70p7BarTAYDJgyZQq2bNlSb58efvhhDB06FAkJCTCbzejTpw/mzp2Lb7/9NtyuvjmTm7pnnjBhApRKZYOfV5544gkoFAr87W9/iyJ6RBRvODKZiOLW8uXLIcsyrr76agwbNqzBdr/+9a/x0EMP4eDBg9i4cWOd0cmrVq3Cp59+iksuuQS33HILjh8/DgDw+XyYPn06duzYgeHDh+O6666DzWbDww8/3OCNp81mwwUXXICdO3di1KhRuP766xEKhfDZZ5/h2muvxd69e/HII4/U2W7r1q149NFHMWnSJFx//fUoLS2FRqOJKg5PPfUUPv/8c8ydOxcXX3wxNm/ejOXLl2PDhg3Ytm0bUlNTw21ffPFFrF69GlOmTMFPfvIThEIhfPvtt3jyySfxySefYNu2bTCbzXWO0VCMAGDRokVQKpUYP348unXrBrvdjnXr1uGOO+7Ajh07sHLlynr7fffdd2PDhg247LLLcNFFF+GDDz7AH//4R/j9fiQlJWHRokWYOXMmJk+ejDVr1uCf//wngsEgnnvuuYj9fPrpp7jqqqsQCARw2WWXoW/fvjh58iT++9//4qOPPsL69esxatQoAFVf13zvvfewa9cu3HHHHbBarQAQ/h8Ajh8/jqlTpyIvLw+TJ0/GxRdfDJfLhQ8//BAXX3wxnn/+edx4440xxYiIiIios1u2bBk++OADXH755ZgyZQq2bduGt99+G7t27cL3338PrVYbbtvS91terxcXXHABvvvuO4wcORLXXXcd7HY7/vznP2PTpk119nPrrbfirbfewgsvvIApU6bUqX/++ecBALfcckuT592Wnxm++eYb/PWvf8WECRPw61//Gvn5+Xj33Xcxffp0fP/99xgwYACAqqkAL774YmzZsiXcVqVS4eTJk1i/fj0mT56M0aNHN3hOTd0z33rrrfj666/x4osv4s9//nOd7V944QVotVou6kfUWQkiojh1wQUXCADihRdeaLLttddeKwCIhx9+OFy2fPlyAUAoFArxySef1Nnmz3/+swAgrrrqKhEMBsPlR48eFYmJiQKAmD9/fsQ28+fPFwDE448/HlHu8XjEjBkzhEKhEDt37gyXr1+/XgAQAMS//vWvKM+8yoMPPigACLVaLb777ruIuoULFwoA4vrrr48oz8vLE7Is19nXSy+9JACIxx57LKK8qRgJIURubm6dsmAwKObNmycAiK+//jqirjpGPXr0ECdPngyXV1RUiOTkZGEwGERKSorYt29fuM7r9YpBgwYJjUYjioqKwuXl5eXCarWK5ORksXfv3ojj/PDDD8JoNIqRI0fWe/xjx47Vez5TpkwRCoVCvPnmmxHlFRUVYvjw4UKn04nTp0/HFCMiIiKieFF9b/rggw/W++/RRx+NaF99T2o2m8Xu3bsj6n7+858LAOLtt9+OKG/p+62HHnpIABDXXHONCIVC4fL8/HyRkpJS7337kCFDhFarFaWlpRHlR44cEQqFQpx33nlNB0u0/WeG5cuXR2zzr3/9SwAQt956a7hs9+7dAoCYOXNmnf4Gg0FRXl4efnzs2LFG+1jfPbPH4xHJyckiIyNDBAKBiLrqvl577bV1tiOizoHTXBBR3Dp16hQAIDs7u8m21W0KCwvr1F1xxRW4+OKL65QvX74cSqUSf/3rX6FU1rxd9urVC7/97W/rtC8rK8O///1vjBkzBvfcc09EnU6nw+OPPw4hBN544406244YMQI333xzk+dRn1/+8pcYOXJkRNnixYthsVjwxhtvwOfzhct79OgBSZLq7OP6669HQkICPvvss3qP0VCMAKBPnz51ypRKJe644w4AaHCfDzzwALp16xZ+bLVacfnll8PtduPWW2/FoEGDwnVarRZz586F3+/H/v37w+WvvfYabDYblixZgsGDB0fsf+jQobjxxhuxc+dO7Nu3r94+nGnXrl3YuHEjZs2ahWuuuSaizmq1YsmSJfB6vXj33XfrbNtYjIiIiIjizZIlS+r999hjj9Xb/re//W2dbwtWjy7evn17uKw17rdWrFgBpVKJRx99NGLqi+zsbCxcuLDe/t56663w+Xx49dVXI8pffPFFCCGivjdvy88MEydOrDPa9/rrr4dKpYqIcTW9Xl+nTKlUIjExMapza4hOp8OvfvUrnD59Gu+//35EXfWo7uZ+tiGijo/TXBBRlzdu3Lg6ZQ6HA7m5ucjOzq43WTp16lQsWbIkomzHjh0IBoPh+czOFAgEACAiGdpYH6JV31fzLBYLRowYgY0bN2L//v0YMWJEuA/PP/883nrrLezbtw92uz1iLreG5rRrrH9lZWVYunQpPv74Yxw9ehQulyuivqF9jhkzpk5ZVlYWANT7tbvqxPPJkyfDZVu3bgVQ9aGkvpgfOnQIQFXMz0w216d6f3a7vd79lZSUhPd3prN5DomIiIg6GvHjOhbRqu/ernpAR+21OVr6fquyshJHjhxBdnZ2nXUwAGDSpEn19nfevHlYtGgRXnjhBdx1110Aqu6VX331VSQmJuLqq6+ud7va2vozQ30xVqvVSE9Pj4jx4MGDMWLECLz55ps4fvw4rrjiCkyaNAljxoyJeiq9ptx666144okn8Pzzz2PWrFkAgNLSUqxevRqDBg3C+eef3yLHIaKOh8lkIopbGRkZ2L9/P06cONFk2+o21cnKM/dzJrvdDgBIT09v8NhnKisrA1B1g7hjx44G++J0OqPaX7Sa6mP1uQDA3LlzsXr1avTu3RtXXHEFMjIywvPXPf300xGjmKPpn81mw9ixY3Hs2DGMGzcO8+bNQ1JSElQqFWw2G/7+9783uE+LxVKnTKVSNVlXfYMN1MT8xRdfrPcY1eqLeX2q97dmzRqsWbMmpv2dzXNIREREFO9qr0FRrfr+LRgMhsta+n6rsrISQMP3xA2Vm81m/OIXv8C//vUvrF+/HtOmTcMHH3yA06dPY+HChdDpdA32rVpbf2aoL8ZAVZxrx1iSJKxbtw4PPfQQVq1ahXvvvRdA1TnPnz8fjz76KEwmU4PHjkbv3r0xY8YMfPbZZzhy5Aj69OmDFStWwOfzcVQyUSfHaS6IKG5VjzL44osvGm0XDAaxYcMGAFVfDTtT7a/CVatOZhYVFdW7z9OnTze4zZ133gkhRIP/1q9fH1UfotVUH6v79c0332D16tX4yU9+goMHD2L58uV49NFHsXjxYvzpT3+C3+9v8BgN9e+ll17CsWPH8OCDD2Lbtm1YtmwZHnnkESxevBhz585t9jlFq/rcdu3a1WjM58+fH9P+/v73vze6v+XLl9fZ9myeQyIiIqKuoqXvtxISEgA0fE/cUDlQNboWqJmaofr/m266KaZzaavPDLFITEzEU089hRMnTuDw4cN46aWXMHDgQDz77LPh8z5bt956K4QQ4YEdL7zwAnQ6HebNm9ci+yeijonJZCKKWwsWLIAkSVi9ejX27t3bYLtXXnkFhYWFGDBgQL1TQtTHbDajb9++KCgowJEjR+rUVyenaxs3bhyUSmW9K0a3pvpWibbb7fj++++h0+nCcw/n5uYCAC6//PLwKJFq27dvh8fjifnY1fus/mpbU/1qaeeeey4AxBTz6jmja4/eOJv9EREREVH0Wvp+KyEhAb1790ZBQQHy8vLq1G/evLnBbc855xxMnDgRq1evxrZt2/DFF1/g/PPPj1i7ozHx8pmhb9++uOGGG7Bx40aYTKY68xzXp7F75mo/+9nPkJOTg+XLl+Pzzz/HoUOHcPXVV5/1nMxE1LExmUxEcat37974wx/+gEAggMsvv7zeRdbee+893HHHHZAkCc8991zEohhN+dWvfoVQKIR77703Yl7hY8eO4ZlnnqnTPi0tDddddx2++eYbPPzww/XeeB05cgTHjh2Lug/RWLlyJXbu3BlRtnjxYtjtdvz85z8PT2NRPYfcmTe1xcXF+L//+79mHbuhfe7cuROPPvpos/YZi1/96lfhhVrqW3QkFArV6VtycjIAID8/v077MWPGYPLkyfjvf/+LV155pd5j/vDDDyguLj77zhMRERF1Qa1xvzVv3jyEQiHcd999EXM9nzhxAk8//XSj2956663w+/2YNWsWhBC45ZZboj4u0DE/Mxw7dgxHjx6tU15RUQGfz1fvwnxnauyeuZpSqcRNN92E4uJiXH/99QAQc/yIKP5wzmQiimuLFy+Gy+XCk08+ieHDh2PGjBkYMmQIAoEAtmzZgm3btkGv1+PNN9/EtGnTYtr3XXfdhffeew/vvvsuRo0ahRkzZsBms+E///kPzj//fHzwwQd1tnn22Wdx+PBh/OlPf8LKlSsxadIkpKeno7CwEPv378eOHTvw5ptvolevXi0VAlxyySWYOHEirr76amRmZmLz5s3YvHkzevbsGbHa9tixYzFx4kT897//xXnnnYdJkyahqKgIn3zyCQYMGFDvfNJNmTdvHpYuXYqFCxdi/fr16NevHw4fPowPP/wQV111Fd5+++0WO8/6JCcnY9WqVbjyyitx7rnnYvr06RgyZAgUCgVOnDiBrVu3oqysDF6vN7zN9OnTsXTpUtx4442YNWsWzGYzrFYrbr/9dgDAG2+8gQsuuAA33HADnnnmGYwfPx5WqxUnT57E7t27sWfPHmzduhVpaWmtem5ERERE7am+xeGqzZw5M7zAc3O09P3WPffcg/feew9vvfUWDh48iIsuugh2uz183/7ee+81OKhkzpw5uPPOO1FQUICUlBRcddVVMZ1LR/zMsGvXLlx11VUYO3YsBg0ahKysLJSUlOD9999HIBAIz6HcmKbumav9+te/xkMPPYSCggIMGzYMEyZMaFafiSh+MJlMRHFNqVTiiSeewNy5c/HPf/4TX375JdauXQtJktCzZ0/cddddWLhwIbp37x7zvrVaLb744gssXrwYb7/9Nv7+97+jZ8+euP/++3HllVfWe2OYkJCAjRs34oUXXsAbb7yBd999F16vF+np6ejXrx+eeuopXHjhhS1x6mF33nknrrzySjz99NN4++23YTKZsGDBAvzlL3+JuAGXJAkffPAB7r//fnz88cd45pln0K1bN/z617/G/fffj8GDB8d87KysLGzatAmLFi3C5s2b8dlnn2HgwIFYtmwZfvKTn7R6MhmoutHdvXs3/va3v+Gzzz7Dpk2boNFokJWVhQsuuKDOFBwzZszAE088gRdffBFPP/00/H4/evToEb4x7t69O7799lv84x//wLvvvovXX38dwWAQGRkZGDx4MH7zm99g2LBhrX5eRERERO1pyZIlDdb17NnzrJLJLX2/pdfrsX79evzpT3/CqlWr8NRTT6FXr174wx/+gMmTJ+O9994Lz618Jo1Gg+uuuw5PP/00FixYEP5WX7Q64meGMWPGYNGiRdi4cSM+/fRTVFRUIDU1FaNHj8Zvf/tbXHLJJU3uo6l75mrp6em49NJL8d5773HhPaIuQiFqfweEiIjixuLFi7FkyRKsX78eU6dObe/uEBERERF1OC+++CJuuukm/Otf/2ow2Tl16lR8+eWXOHjwIPr169fGPYxvoVAIffv2RVFREU6dOtVg0p6IOg/OmUxEREREREREca2wsLBOWX5+Ph5++GGoVCpcdtll9W63fft2bNy4ETNmzGAiuRlWrVqFY8eOYd68eUwkE3URnOaCiIiIiIiIiOLarFmzEAgEMHr0aFitVuTl5eHDDz+E2+3Go48+Wmd9kOeeew4FBQVYvnw5lEplo9N6UF2PPfYYysvL8cILL8BoNOK+++5r7y4RURthMpmIiIiIiIiI4tovf/lLrFy5Eu+++y7sdjtMJhPGjx+P22+/vd5F9R5//HGcPHkSvXv3xsqVKzFu3Lh26HX8uu+++6BWqzF48GAsXboUOTk57d0lImojnDOZiIiIiIiIiIiIiJrEOZOJiIiIiIiIiIiIqElMJhMRERERERERERFRk5hMJiIiIiIiIiIiIqImcQG+ZrLZbNi4cSOys7Oh1WrbuztEREREVIvP58OJEycwZcoUWK3W9u5Ol8b7ZiIiIqKOK9b7ZiaTm2njxo2YOXNme3eDiIiIiBrx3nvv4YorrmjvbnRpvG8mIiIi6viivW9mMrmZsrOzAVQFum/fvu3cm/YhyzIcDgfMZjNUKl5KjWGsYsN4RY+xih5jFT3GKnqMVfTaOla5ubmYOXNm+J6N2g/vm/leEQvGKjaMV/QYq+gxVtFjrKLHWEWvo98389lrpuqv6PXt2xdDhgxp5960D1mWYbPZYLVa+UbQBMYqNoxX9Bir6DFW0WOsosdYRa+9YsVpFdof75v5XhELxio2jFf0GKvoMVbRY6yix1hFr6PfN3MBPiIiIiIiIiIiIiJqEpPJRERERERERERERNQkJpOJiIiIiIiIiIiIqElMJhMRERERERERERFRk5hMJiIiIiIiIiIiIqImMZlMRERERNSJnDp1CosWLcK0adNgNpuhUCiwYcOGmPZRUFCAq6++GlarFQkJCbjiiitw9OjR1ukwEREREcUNJpOJiIiIiDqRgwcP4vHHH0dBQQGGDRsW8/ZOpxPTpk3Dxo0b8Yc//AFLlizBzp07MWXKFJSVlbVCj4mIiIgoXqjauwNERERERNRyRo8ejbKyMiQlJWHVqlWYM2dOTNsvW7YMhw8fxvbt2zF27FgAwCWXXIKhQ4fiiSeewF/+8pfW6DYRERERxQGOTCYiIiIi6kTMZjOSkpKavf2qVaswduzYcCIZAAYOHIjp06fjP//5T0t0kYiIiIjiFEcmExERERERACAUCmH37t24/vrr69SNGzcOn3/+ORwOB8xmc73bFxcXo6SkJKIsNzcXACDLMmRZbvlOxwFZlhEMBrvs+ceCsYoN4xU9xip6jFX0GKvoMVbRa+tYxXocJpOJiIiIiAgAUF5eDp/Ph8zMzDp11WWFhYUYMGBAvdsvW7YMS5YsqbfO4XDAZrO1WF/jSTAYhNPpBABIktTOvenYGKvYMF7RY6yix1hFj7GKHmMVvbaOlcPhiKk9k8lERERERB1UKBSC3++Pqq1Wq4VCoTir43k8nvC+zqTT6SLa1Oe2226rM0dzbm4uZs6cCbPZDKvVelb9i1fVI34sFgtUKn4EawxjFRvGK3qMVfQYq+gxVtFjrKLX1rFq6BtnDeGzR0RERETUQX355ZeYNm1aVG3379+PgQMHntXx9Ho9AMDn89Wp83q9EW3qk5aWhrS0tHrrVCpVl/7wKElSl49BtBir2DBe0WOsosdYRY+xih5jFb22jFWsx+CzR0RERETUQQ0cOBDLly+Pqm19U1PEKikpCVqtFqdOnapTV12WlZV11schIiIiovjEZDIRURuQgwLHizxIs2pgNvCtl4iIopORkYEFCxa02fGUSiWGDRuGb775pk7dtm3b0Lt375i/CklERERETQuJENxBNyq9dtg8NpgtZqg6YOpW2d4dICLqClzeIOwuGeWVgfbuChERUVh+fj4OHDgQUTZ79mzs2LEjIqF88OBBrFu3rs58yERERER0dvwhH8r9ZTjhPo5813EUeE7CG/IhKILt3bV6dbz0NhFRJ+T1B+HxhWBTykjzBaHXcvVaIiJqPY888ggAYO/evQCAlStXYvPmzQCA+++/P9xu3rx52LhxI4QQ4bLbbrsNL774In7605/i7rvvhlqtxpNPPon09HTcddddbXgWRERERJ1TSITgkl1wBhxwBh1wyW6EEIRBaYBWqYOMjplIBphMJiJqdR5fEM++dxLFNj8uHpuMjCQNk8lERNSqHnjggYjHr7zySvjn2snk+pjNZmzYsAF33nknHnnkEYRCIUydOhVPPfUUUlNTW6W/RERERF2BN+iFU3bCEaiEO+iCL+iDRqmBWWWGWqkGAMhBezv3snFMJhMRtbL3virBN4ccAID3t5RiYI4BKQkaSJKinXtGRESdVe2Rxo3ZsGFDveXdu3fHO++804I9IiIiIuqagkKGs3oUsuyEO+gGBGBQ6WHSmKFQVOUGQiKEQk8B9tn34rgzD7ck/x8MGkM7974uJpOJiFrZd4cd4Z+LKvw4dNKNjEQtEs3qduwVEREREREREbUGIQS8IQ+cshOVAQc8P45C1ip1sKgsUCmrUrIu2YVjriM44jyCY66j8IW84X0ccOxHN1P39jqFBjGZTETUiuSgwKECd0TZjoMODO9tZjKZiIiIiIiIqBMJhAJwyS44ApVwBZ3wBD1QQAmDpIdZkwABgdPeUzjqPIKjrlyc8p5qcF8HHPswPfPCNux9dJhMJiJqRUcK3fAHIr9qvO+4C2WVAaQlamDg3MlEREREREREcUsIAU/Q/eMo5Ep4gh74Q37oJR2s6kT4Qz4cdR3FUWcujrqOwhN0N7o/jVKDbqpsjLSObqMziA2TyURErWjPMVedMo8vhJ25DmSlaJlMJiIiIiIiIopD/pAfLtkJR8ABl+yCJ+iGSqGCTqmHJ+TGbscuHHUdQaGnAAKNr2eRqk1DH2Nf9Db1gVlphuwMYaB1YBudSWyYTCYiakU/HHPWW77riBMTh1iQZuFCfERERERERETxICRCcAddcP6YRPYE3QgIGZJQosRXgmOuozjmOgKnXH8uoJpGqUFPQy/0NvVBL2MfJKgTwnWVPjuAUCufSfMxmUxE1EqEENifXzMy2aBVwu2r+oVw5JQHBWU+pCdpkcS5k4mIiIiIiIg6LF/QV5VAlivhll1wy264ZCcKvYU47spDgeckQk0kgJM1Keht6oM+xr7obsiGpIjPbyozmUxE1EoKSn2odAfDj386PgXvfFkMABAC+OagA70z9UwmExEREREREXUwQRGEW3bBEXDAKTthD9hx0nMCpz2FOO4+Dodc2ej2KoUKPQw90cfUF72NfWDRWJs8ZkiEEBQdd1QywGQyEVGr2ZNX87UWhQIYM8CE7484cLjA82O9CzOcMlzeIIy6+PyLJBEREREREVFn4g16q5LHfhtOeQtx1JmLAk8BTnkLERTBRre1qhPDyeMcQw+olPWnXoUQCIogZBFAIBSALGTIQoZSIUGpUEKllKCEsjVO76wxmUxE1Ep+OFozxUW6VYP0RC0mDrWGk8lllQEcPOFGepKWyWQiIiIiIiKidhIUMpyyC+W+Mhx0HMARZy5OuPObHH0sKSRkG3qgj7EPepv6IkmTVKeNEAIBEYD8Y9I4EAoghBAkhQpqpRpqpRp6pQEGyQC1UgMppIRH9jSYiG5vHbNXRESdwL7jNcnknhk66DQSJg214K31RfD6q762suuYE+f0MSHNqoGKC/ERERERERERtQkhBDxBD06487HHvgu5zlwUeE42Ofo4QZVQNfrY1Bc5hh7QKDXhuqAIQg4FEBBy1f+QoRCAWqmGSqGGVtIhQW2BVtJBo9RAo9RUJZQVaigUVTkBWZYhKxvvQ3tiMpmIqBWUOwI4XeEPP+6TZYBeo4RWrcaIPiZ8vb/qr5v7j7tQVhlApUtGUgLnTiYiIiIiIiJqTV7Zgz2VP2CP7QfkOg+hIlDRaHsllOhuyEZvY1/0MfVBsiYFQFXiOCACqAxUhqepkBQS1EoVVAo1jGojdEo9tJIWaqU6nDyWFPGdjo3v3hMRdVB781wRjwdmG6BRV813NHV4YjiZ7AsI7D7qRLdkLRLNqvBfIomIiIiIiIio5fiCPrxfsBpbSjcjIPyNtjWpTOj949QVOfoekJRSeMRxmb8MAiGofkwaa5QamJQm6FQ6qBU1o401Sg2Uio457/HZYDKZiKgV/HCsZvE9q0mFrBRt+PHQnkakWdUotgUAVCWezxtihdsX4tzJRERERERERC1sn30v3sz/N8r9ZfXWK6BAN3139DL2Ro4hBxa1NTzy2B10QSWqEsc6SQer2gqtpP0xaVyVPFYpus7gMCaTiYhawd68mmRyj3Qd9Jqav0aajSqMG5iAD7+u+iV27LQXJ0q8SLdqmEwmIiIiIiIiaiFu2YVVJ/6DbeVb69TpJQN6GHog25CDDF0m1Eo1lAoJaqUakkIFnVIPvVIPTcQ0Feq4n6bibHXtsyciagVuXxDHTnvDj/tk6qHX1iSJNSolpg5PxMfbyhASVWV78pzok6lHqlUNtarzfQ2GiIiIiIiIqC19V/EtVp14C/aAPaI8VZuGcUnnopu+W9Xid0o11AoN9Cp9OGmsVmh+TC7z8/mZ4ioiPp8P9957L7KysqDX6zF+/HisWbOmye169uwJhUJR779+/fq1Qc+JqCs5kO+GEDWPB2QboFVHft2lW4oOA7IN4cd7jrpQ6ZZR6e64K7YSERERERERdXR2vw0vHvkXXj76fEQiWVKoMDZpPOZmX4vRSWPQw9gLPY290NPYGz1NvZCuy0CSJhkmlRlaSctEcgPiamTyggULsGrVKixcuBD9+vXDq6++iksvvRTr16/HpEmTGtzu6aefhtPpjCg7fvw47r//flx00UWt3W0i6mL21JovWa9Ronemvs7cSWa9hHMHW7A/3w0AqHDKOHzSjVSrBklciI+IiIiIiIgoJiERwrayrVhd8C5ccmQeMFOXhUkp56OnsRdSdKkwqUzt1Mv4FzfJ5O3bt+Ott97C0qVLcffddwMA5s2bh6FDh+Kee+7Bli1bGtx25syZdcoeeeQRAMB1113XKv0loq6r9uJ7OWlaGLR150GWJAXOHWjB2xuK4PaGAAB7j7sxtJcJTm8QZn3cvD0TERERERERtasSXzH+k/8m9lXujShXK9QYkzQeo6yjkaxLRrImBSolP2+fjbgZr71q1SpIkoSbbropXKbT6XDDDTdg69atOHHiREz7e+ONN9CrVy+cd955Ld1VIurC5KDAoQJ3+HHvTAN02vrfahPNKozsYw4/3n/chbLKACpdnOqCiIiIiIiIqCmBYADri9fi8f1/rpNIztbn4Kpuc3BeykR0N2YjXZfBRHILiJsI7ty5E/3790dCQkJE+bhx4wAA33//PbKzs6Pe1/79+/HHP/4xqvbFxcUoKSmJKMvNzQUAyLIMWZaj2k9nI8sygsFglz3/WDBWsYnneB066YY/UDNhct8sDVSKEGRZ1GmrVQmcN8iMr/ZWzeEUCAocyHci3apCokkBTRQL8cVzrNoaYxU9xip6jFX02jpWfE6IiIiIOi8hBAo8J/HOibeQ6zwcUadVajEu+VwMTTgHSZokpOhSoVFq2qmnnU/cJJNPnTqFzMzMOuXVZYWFhVHv6/XXXwcQ/RQXy5Ytw5IlS+qtczgcsNlsUR+7MwkGg+G5qCWp7tf4qQZjFZt4jtc3+yvDP6skoLtVRmWlvcH23ZP8yEyUcKqiajTy7iMODM8WKJTcsJrUTR4vnmPV1hir6DFW0WOsotfWsXI4HK1+DCIiIiJqe17Zi/XFX+Dzok/hD/kj6noZe2N80gRk6rOQok2BRW3lmkQtLG6SyR6PB1qttk65TqcL10cjFArhrbfewsiRIzFo0KCotrntttswZ86ciLLc3FzMnDkTZrMZVqs1qv10NtUjfiwWC1SquLmU2gVjFZt4jteRoprEcbdkLdLSEmFNaPgvoBpdEGMHyvhgazkA4GSZjBK3FukKEywWXZO/9OI5Vm2NsYoeYxU9xip6bR0rs9ncdCMiIiIiihtBEUSe8xhWnfwP8t15EXV6SY8JyZPQz9y/ajSyNhU6Sdc+He3k4uZTj16vh8/nq1Pu9XrD9dHYuHEjCgoKcOedd0Z97LS0NKSlpdVbp1KpuvSHR0mSunwMosVYxSYe4yWEwIETNfMl98rUw6TXNHoOZqOEicMS8fH2CsjBqqkwDpzwomeGEd6AAmZD0+cfj7FqL4xV9Bir6DFW0WvLWPH5ICIiIuo8KgOVWFe0BhuK1yEgAhF1/U0DMCZpHNJ06UjSJCNRkwilIm6WiYs7cXOXnZmZiYKCgjrlp06dAgBkZWVFtZ/XX38dSqUSP//5z1u0f0REBaU+VLprFs/r180Avabxr3IrFApkJmoxINuAvXkuAMCuI05MHGqB3SVHlUwmIiIiIiIi6owCoQAOOw5h9clVKPRG5gWNkgmTUiajp6kXrOpEpOpSoZcM7dTTriNushQjRozA+vXrUVlZGbEI37Zt28L1TfH5fHj33XcxderUqJPPRETR2pPnDP+sUACDcgyQpKbnZjIbVDh3YEI4mezwBHG8yIfkBA3SrCFo1PyLKhEREREREXUdIRFChb8Ca4o+w5bSTQiKYET9kIRhGGEdhWRtMpK0SUjSJENScA2TthA3GYrZs2cjGAzihRdeCJf5fD4sX74c48ePR3Z2NgAgPz8fBw4cqHcfH3/8MWw2W9QL7xERxeKHY67wz+lWDZIamSu5Np1GiVH9zEgw1Pzi23PMCadHht0lt3g/iYiIiIiIiDoqT9CNXRU78ezhp7CpZENEIjlBZcHPMi/HeSkTkaXPQjdDd6Rq05hIbkNxMzJ5/PjxmDNnDu677z4UFxejb9++WLFiBfLy8vDyyy+H282bNw8bN26EEKLOPl5//XVotVrMmjWrLbtORF3EvryaZHLPDB30muj/Xmc1qTGirxlf7rZV7SvfhenORFQ4ZSQnqKFUcvVZIiIiIiIi6ryCQkaJtwRrij7D9rKvEUIoon6EdRTOsQxHgtqCJG0ykjXJUCnjJrXZacRVxF977TU88MADWLlyJSoqKnDOOefgww8/xPnnn9/ktpWVlfjoo4/w05/+FBaLpQ16S0RdSbkjgNMV/vDjPlkG6LTRJ5NNBgkTBlvCyeRQCDhc6EGqVQOnJ4gEY1y9XRMRERERERFFRQgBp+zAXvsefHTqA5T7yyPqE9VJmJp6AZK1ybBorEjRpiJBndDA3qi1xVV2QqfTYenSpVi6dGmDbTZs2FBveUJCAjweTyv1jIi6ur21RiUDVfMla1TRJ5M1KiX6ZOqRk6ZFfrEPALDzsAPDexlhd8lMJhMREREREVGn4wv6UOQ5jTVFn2Gn7VsI1Mw0oIACYxLHYbBlKIwqI5LUSUjWpUCjjG5KSWodzE4QEbWAH47VLL5nNamQlaKNeR9mgwqj+5vDyeRT5X6UOmRYzTLSEkPQciE+IiIiIiIi6gRCIgRboAK7bbvw+elPYA/YI+pTtWmYmjodZrUZFrUFKdoUWNRWKBScArK9MZlMRNQC9ubVJJN7pMc2X3I1s17C2AEJ+OjrMvhl8eN+XchI1MDukpFm5V9fiYiIiIiIKL65ZBdOeQqxpugz7LHvjqhTQolzk8/DwIRB0EpaWNWJSNGmQifp2qm3dCYmk4mIzpLbF8Sx097w4z6Zeug0sa8kK0kKpFu1GNTDiF1HqpLT3+c6MHmoBRWOAJIT1JC4EB8RERERERHFITkko9hbjD3O3Vhb9DmcsjOiPlOXiQvSfgKdpIdZnYBkbTKs6kQoFfyWbkfCZ4OI6CwdyHdD1EzrhIE5RmjVzUv6mg0Sxg2oWUjA7QvheLEXTncQTk/wbLtKRESd3KlTp7Bo0SJMmzYNZrMZCoWiwTVF6vPf//4Xc+fORe/evWEwGDBgwADcddddsNlsrdZnIiIi6txCIgS7344Tnny8U/Am3i/4b0QiWaVQYUrqBfhZ5hUwqROQqk1Dd0N3JGmSmUjugDgymYjoLO2pNV+yXqNErwxds+dxMuokDMoxIMmsQrlDBgB8n+tErww9bM4ALFyIj4iIGnHw4EE8/vjj6NevH4YNG4atW7fGtP1NN92ErKws/OIXv0BOTg5++OEHPPvss/j444/x3XffQa/Xt1LPiYiIqDPyBD0o85ViZ/m32Fi2Hh7hiajvrs/G9LSfQFKqYVAZkKRNRqImCZIi9m/7UttgVoKI6Cz9UGu+5Jx0LQza5v/SUyoVSEpQY3hvE9bvsgEADp5wwxsIweaUkZ4YbNYUGkRE1DWMHj0aZWVlSEpKwqpVqzBnzpyYtl+1ahWmTp1aZ5/z58/H66+/jl//+tct2FsiIiLqrIJCRoW/AoWek1hz+nMcdR2JqFcr1JiaegH6mPoiiCASNYlI0abBqDK2U48pWkwmExGdBTkocOikO/y4d6YBOu3ZfQ3HpFdh3CALNuy2QQhAADhw3AWTToLdxWQyERE1zGw2n9X2ZyaSAeDKK6/E/PnzsX///rPaNxEREXV+Qgg4ZQdKvaXYaf8WX5VshjcUORq5p7E3pqf9BACgUqqRps1AsiYZKiXTlPGAzxIR0Vk4UuiGP1AzYXL/bnro1GeXTDZoleieqkWvDB2Onqpa2O+bQw6M7GdGhSOAFAsX4iMiorZz+vRpAEBKSkqTbYuLi1FSUhJRlpubCwCQZRmyLLd8B+OALMsIBoNd9vxjwVjFhvGKHmMVPcYqeoxVJI/sRnmgHKc9p7G+dC1OeI5H1GsUWkxNnoZext4IhAKwqhORrEmGSWUGQlUL9FHbX1exHofJZCKis7DnmCv8s0pSYEC2EcqzTPQqFApYDCqM6mcOJ5NL7AGU2QPQaZRwuGVYTeqzOgYREVG0Hn/8cUiShNmzZzfZdtmyZViyZEm9dQ6Ho8su5BcMBuF0Vk2LJUn8hlFjGKvYMF7RY6yix1hFj7Gq4g/64Qw6UOmvxF7PHnzv+RZ+4Y9o01PTC6MV46GVNfA7AzCrzDCGTJADQdhga5+Od1BtfV05HI6Y2jOZTER0Fn6otfhetxQtTIaWeaM3G1QY0ceMj7aVweMLAQB2HnEiKUENu5PJZCKiriAUCsHv9zfdEIBWq2324q+NeeONN/Dyyy/jnnvuQb9+/Zpsf9ttt9WZpzk3NxczZ86E2WyG1Wpt8T7Gg+oRPxaLBSoVP4I1hrGKDeMVPcYqeoxV9Lp6rAKhAOwBGyr9duyp3I2d9m9hk20RbfSSHtNTL0I3dTdUVjqRkpiCFF0qEtQJrXLv0hm09XUV6zRpXe9KJyJqIUII7M+vGZncK0N3Vovv1abTKJGcoMagHCO+O1z1V8Lvjzjwk1GJsLlkpPmC0LfQsYiIqGP68ssvMW3atKja7t+/HwMHDmzR42/atAk33HADZsyYgT//+c9RbZOWloa0tLR661QqVZf8oF1NkqQuH4NoMVaxYbyix1hFj7GKXleMVVDIsAfsqPDbcMC+FzsqtqHEV1Kn3aCEIZiWOh0B4QcEkKxLQndjNoxaLrLXlLa8rmI9Rte50omIWlhBqQ+V7mD4cb9uhrOeL7m2BIMKY/qbw8lkf0DgSKEH/boZYHfJTCYTEXVyAwcOxPLly6Nqm5mZ2aLH3rVrFy6//HIMHToUq1at6lIfkImIiKh+IRGCQ65Eha8CR5yH8XXZVhR6C+q0S9IkYVrqdHQzdIcr6IJZlQCrZIUIAlpJ2w49p5bEu0Iiombam1czKlmhAAbnGCBJLfc1HZNBQt8sPdITNSiqqPqa8zeHHOjbzYAKZwCpFk2LHYuIiDqejIwMLFiwoM2Pe+TIEVx88cVIS0vDxx9/DJPJ1OZ9ICIioo5DCAFX0IkKXwXy3MfwdelXyHPn1WlnVpkxMeV8DEkYCofsgC/kR6omDSm6VKiFGja3rc37Ti2PyWQiombaXWu+5HSrBkktnNzVqJSwmtQY1ssYTiYfKfTAFwjB4Qmi0i3DrOccU0RE1Dz5+flwu90R02OcPn0aF110EZRKJT777DOkpqa2Yw+JiIiovXmCblT4KnDSfQJbyjYj13kYAiKijU6px4Tk8zDCOgp+4YctUAGTyoQkbTISNUmQFFJ4HmCKf0wmExE1075aI5N7Zuig17TcFBfVzAYVRvc3Y/33FQhWrcOH3UedGN3PDLtLhlnPhfiIiCjSI488AgDYu3cvAGDlypXYvHkzAOD+++8Pt5s3bx42btwIIWo+EF588cU4evQo7rnnHmzevDm8HQCkp6fjwgsvbItTICIionbmD/lQ4bfhlLsAW8q+wv7KvQghFNFGrVBjbNJ4jE0chyCCsMs2GCQj0nTpSNIkwaDi3MidEZPJRETNUO4I4PSPo4UBoG83A3StkUzWS0izatCvmwEHTrgBANsPVGLC4ATYXTKSzS1/TCIiim8PPPBAxONXXnkl/HPtZHJ9du3aBQD461//WqduypQpTCYTERF1cnJIhi1gQ5H3NL4u+wo/2HYjIAIRbZRQYmTiaJybNAEKhRKOoBN6SYd0XQasGiuMkgkKBb9F21kxmUxE1Ay150sGgEHZBqhVLZ/YlSQFrEY1hvU2hZPJNqeMU+V+pFk0sLtl6Pg7moiIaqk90rgxGzZsaPa2RERE1LmERAj2gB0l3mJsL/8aOyu+hTfkrdNuaMIwTEyZDI1SA1fQDZ2kQ5o2DVZNIkwqJpG7AiaTiYia4Yda8yVbTSpkpbTeirRmg4ShPY34ZLsEpycIAPjmoAOXjkuG3SFDbeQHfyIiIiIiIoqdEAIO2YEyXwm+qfgGO8q3wSU767TrZ+qPSSnnw6QywxV0QYKEVG1qOImsVPBbs10Fk8lERM2wN6/ml2uPdB10GqnVjmXUSUgwqDCslxFb91UCqJo3+WfnJsPhDUKvCiK51Y5OREREREREnZFLdqHcV4Zdtp3YWrYFtkBFnTbZ+hycnzoVydpkuGQXZMhI1abCorHCrDIzidwFMZlMRBQjty+IY6drvu7TJ1MPvbb1foEqlQokmlUY3tsUTibLQYH9+S70ydDC6eaquERERERERBQdb9CLCl859lb+gM2lX6LEV1KnTbo2HeenTkOGLhOukAsBEUCyNhlWTSLMqgQmkbswJpOJiGJ0IN+N2lNKDsoxQqtu3V+kJr0KOel6ZKdqcaLEBwDYtr8SQ3qkw+0Lwe0NIsHEt3QiIiIiIiKqnz/kh81vwyHHAWwsXo9Cb0GdNonqJExOnYKehp5VSWQEkKyuSiInqJlEJiaTiYhitqfWfMl6rRK9MnStfkyDVgmzQcKQnsZwMjm/2AeHOwQpGILdLSPB1HrzNhMREREREVF8CgoZNr8dR1252Fi8HsdcR+u0MalMmJgyGf1NA+AOeeAXASSpk2HVWGFWJ0BStN7UjhRfmEwmIorRD7XmS85J00Gva/1fqgqFAhaDCuf0NmHtzgoE5Kqh0d8edmB8HwVsDhkZSSGoVfwrMREREREREQEhEUJloBL5rjxsLNmAg479EIhcwF2n1OHc5PMwNGEYvCEvAiKARHVieCQyk8h0JiaTiYhiIAcFDp90hx/3ydRDr2mbBK7ZoEKSWY1BOQbsPuoCAHxzyIlJAxPg9AXhcAeRlMBkMhERERERUVcmhIBTdqLQcxIbSzZgj303giIY0UatUGNM0lgMt4yCLGQEEIBFY0ViOInMlCHVj1cGEVEMjhS64QvU/CW3X3c9dG2UTNZplLAYVRjcwxhOJjs9QeQVyeieHkKFM4BEswoKhaJN+kNEREREREQdi1t2o9hbhC9LNuC7im8QEIGIeiWUGGEdiTFJ4yAgEFIEkaC2wKq2wqK2QKVkqpAaxyuEiCgGe/Jc4Z9VkgIDs41tmrxNMKjQv7sBiSYVKpwyAOC7Iz706yHB7grC5Q3CpOdbOxERERERUVfiC/pQ6ivBV6WbsK3sa3hDnjpthiQMxbikCVApVRAAzOoEWNVWJKgtUCvVbd9pikvMOBARxeCHWovvdUvRwqRv2/mjTAYJZn3V3Mkbd9sAAAdO+iGCAu5AEJUuJpOJiIiIiIi6ikAogAp/Ob4u24KvSjfDKTvqtOlj7IvzUiZBL+khIGBSmWDVJMLCJDI1AzMORERREkJg//Gakcm9M3XQa9s2maxRKWE1qTC4hyGcTA4JYOcRF87pa0aFM4BUq5oL8REREREREXViQRGE3W/DNxU78GXxelQEKuq06a7PxsSUybCorQghBIPKiERNIixqK5PI1GxMJhMRRamg1IdKd82iBX2zDG02X3JtJr0Kmcla9M7U4egpLwBg24FKTBhqgdMjw+6SkWLRtHm/iIiIiIiIqHUJIVApV2K37XusL1qLIt/pOm1StWmYlHw+UrWpCCkEDCoDrBorLGorNEp+VqSzw2QyEVGU9taaL1mhAAbnGCAp236xO7NeglEnYVgvUziZfLoigBKbDI1KAZtLRnKCmgvxERERERERdSJBEcRe2w/45PRHyHcfr1NvVVtxXvJkdNdnI6QIwqAywqK2wqqxQKPUtkOPqTNiMpmIKEq7a82XnG7VIKmdRv9KkgJWoxr9uhmgUyvgDQgAwLb9dlw8NhmVLhlObxBmzp1MRERERETUKfhDPqw5/Rk+OfURBEREnVEyYkLyRPQy9YEQIRjUeljUVSORtRKTyNSymGkgIorSvlojk3tl6KBvhykuqpkNEqwmFYb2MuKbQ1VJ7m8POXDZhBTYXTLsTpnJZCIiIiIiok7AEXDgg4LV2FK2OaJcq9RhXNJ4DDAPhICAQTLAorHCorZAJ+naqbfU2THTQEQUhXJHAKcr/OHHfbq1z3zJ1Yw6CSa9hME9DOFksscfwr7jLvRI18HmlJGWGIKGC/ERERERERHFJSEEyvyleCf/beyp3B1RNzZpPIYlnAMoFFXTWWgssKoTmUSmVsdkMhFRFGrPlwwAg7INULdjolapVMBqUqF7sgYpCUqUVoYAAF/vr8SQnqbwQnypXIiPiIiIiIgo7gSFjEJPId7Ofx3HXMfC5ZJCwoVpM9DN0L0qiayywKq1Qi8Z2rG31JXE1ZA1n8+He++9F1lZWdDr9Rg/fjzWrFkT9fZvv/02JkyYAKPRCKvVivPOOw/r1q1rxR4TUWexp9Z8yVaTClkp7T/vlEmvgkGvwjk9avpy6IQbbl8QAVnA5pARColG9kBEREREREQdjTfoRa4jF8uPvhiRSNYqdfhp5uXobe6LDF0mcgw9kGnIYiKZ2lRcJZMXLFiAJ598Etdddx3+/ve/Q5IkXHrppdi8eXOT2y5evBg///nPkZ2djSeffBKPPPIIzjnnHBQUFLRBz4ko3u3Jq0km90zXQa+V2rE3VQxaJcx6Cf27q6BUVJUJADsOVMKgl1DpluHyBtu1j0RERERERBQ9R6AS+yv3YkXeKyjyFYXLzaoEXJE1E9mGbKTr0pGpz4JBxSQytb24meZi+/bteOutt7B06VLcfffdAIB58+Zh6NChuOeee7Bly5YGt/3666/x0EMP4YknnsCdd97ZVl0mok7C7Qvi2Glv+HHvTH27Lr5XTaFQIMEowWqQ0L+7HgdOeABUTXVxwahElNoCsLtkmA1x81ZPRERERETUJYVECOX+chyo3If3C/4Ld9AdrkvVpGJGxiWwaKxI06UjWZMChULRjr2lrqz9syFRWrVqFSRJwk033RQu0+l0uOGGG7B161acOHGiwW2ffvppZGRk4I477oAQAk6ns8G2RERnOpDvhqg1W8SgHCM06o7x9mnSqaBVKzGslzFcVlYZQN5pLzRqJcodMnyBUDv2kIiIiIiIiBoTCAVw2nMK35Zvx6oT/4lIJGfrc/DTzMuZSKYOo2NkQ6Kwc+dO9O/fHwkJCRHl48aNAwB8//33DW67du1ajB07Fs888wxSU1NhNpuRmZmJZ599tjW7TESdRO35kvVaJXpldpzVcXUaJUx6CT1StTDqat7St+2vhEknweWVUemS27GHRERERERE1BBP0INCz0lsKfsKHxZ+gIDwh+sGmAfiovSLYVQbmUimDiNuvvt86tQpZGZm1imvLissLKx3u4qKCpSWluKrr77CunXr8OCDDyInJwfLly/Hb37zG6jVatx8882NHru4uBglJSURZbm5uQAAWZYhy10zUSPLMoLBYJc9/1gwVrHpaPH64Zgj/HNOqhZalegwfZNlGToVoNcCw3sbsWVfVV+/z3XgqonJCARklNl9sBgUUCq79k1HR7uuOjLGKnqMVfTaOlZ8ToiIiKijswdsKPYWY2vpV9hWvjWibrR1DEYnjoVaUjORTB1K3CSTPR4PtFptnXKdTheur0/1lBZlZWV46623MHfuXADA7NmzMWzYMDzyyCNNJpOXLVuGJUuW1FvncDhgs9miPY1OJRgMhuMrSe2/GFlHxljFpiPFSw4KHDpZ8/6SkwL4PZWwyR3jeQwGgwjKbkihAAZmAVv2VZX7ZYEd+0owOEeNsnIX9EodjPqO0ef20pGuq46OsYoeYxW9to6Vw+FouhERERFROwiJEMr8pSjxlODL0vX4wb47on5KyjQMMA9kIpk6pLhJJuv1evh8vjrlXq83XN/QdgCgVqsxe/bscLlSqcTcuXPx4IMPIj8/Hzk5OQ0e+7bbbsOcOXMiynJzczFz5kyYzWZYrdZYT6dTqB7xY7FYoFLFzaXULhir2HSkeB066YZfrpkweVDPRKSmJHaYX+TVsVIbdfCKALql+FBQWvW1qJ3HZEw8Jw3FNj+ESgerteNMz9EeOtJ11dExVtFjrKLX1rEym82tfgwiIiKiWAVCARR7i1DiK8b64nXIdR4K1ymhxCUZP0V3QzZUShUTydQhxc2nnszMTBQUFNQpP3XqFAAgKyur3u2SkpKg0+lgtVrrjIJJS0sDUDUVRmPJ5LS0tHDbM6lUqi794VGSpC4fg2gxVrHpKPHaf8Ib/lklKTCohxlqtbode1SXJEmw6LQocwKj+iWgoLQUAHD0tBflzhB0WjUqPYAcUkKniZup8ltFR7mu4gFjFT3GKnptGSs+H0RERNTRuGUXir3FKPKexvritTjhyQ/XqRVqzOw2C0maJCaSqUOLm6zCiBEjcOjQIVRWVkaUb9u2LVxfH6VSiREjRqCkpAR+vz+irnqe5dTU1JbvMBF1Cj/UWnyve4oWZkPHTE6YdBJMOgn9uush1ZobeduBShj1EpweGZVuzh9KRERERETU1oQQsPkrUOApwAl3Pj49/VFEItkgGfHznF8gSZMEiYlk6uDiJpk8e/ZsBINBvPDCC+Eyn8+H5cuXY/z48cjOzgYA5Ofn48CBAxHbzp07F8FgECtWrAiXeb1evP766xg8eHCDo5qJqGsTQmD/cVf4ca9MfYcd2StJCliMaujUEob2NIbLtx+ohFpSIBQSKK8MIBgSjeyFiIiIiIiIWlJQBFHsK0ahpxAF7hP45PSHKPYVh+sT1Ym4Lmce9JIeklKFdCaSqYPrmEPs6jF+/HjMmTMH9913H4qLi9G3b1+sWLECeXl5ePnll8Pt5s2bh40bN0KImoTJzTffjJdeegn/93//h0OHDiEnJwcrV67E8ePH8b///a89ToeI4kBBqQ+V7mD4cd9uHTeZDABmowSDVonhfUzYdbRqRLXdJePACTdy0nRweoJwuIOwmuLmrZ+IiIiIiChu+UM+FHuLUeYvRam3BJ+c/gieYM0C75m6TFzV7WrIIsBEMsWNuMoovPbaa3jggQewcuVKVFRU4JxzzsGHH36I888/v9Ht9Ho91q1bh3vuuQevvPIKXC4XRowYgY8++ggzZsxoo94TUbzZm1czKlmhAIb0MEZMIdHRGLUSTHoJ3VK0sBgl2F1VifBt++0YmG1AUYUfdleAyWQiIiIiIqJW5pSdKPYWocJfgWJvET47/TECIhCu723sg8uzroQn6GYimeJKXGUUdDodli5diqVLlzbYZsOGDfWWp6Wl4dVXX22djhFRp7S71nzJ6VYNkswda+G9MymVClhNKpTaAxjd34x1O20AgN1HXfD4Q9BqlLA5ZaQnBqHTSI3vjIiIiIiIiGImhEBFoByl3lI4ZAdOuPPxRdFnEKj5Bv0wyzm4KP0SOGUHE8kUdzru97WJiNrZvlojk3tl6KDTdvy3TJNeBYNOwrCepnBZMCTw7aFKmPQSnN4g7C4uxEdERERERNTSgkJGke80TnkK4ZKdOFi5H2uKPo1IJE9InoiL03/KRDLFrY6fGSEiagfljgBOV/jDj/t0M0AfB6N5DVolzAYJBr2EXhm6cPnX+yuhUSkhBFDhkLkQHxFRJ3bq1CksWrQI06ZNg9lshkKhaPDbe9G48MILoVAocPvtt7dcJ4mIiDoZb9CLAncBTntOIRQKYUf5dnxVtimizUXpF2NyyhRUynYmkiluMZlMRFSP2vMlA8DgHANUUsf/Ba9QKGAxqqCWFBjd3xwuP1niQ0GpDyadBIdHhsPN0clERJ3VwYMH8fjjj6OgoADDhg07q33997//xdatW1uoZ0RERJ2TM+BAgeckSnzF0CjUWFu8BrvsO8P1kkLCld1mYYR1FOwBGxPJFNeYTCYiqseeWvMlW00qZKVo27E3sTHrVTBoJfTrZoBaVXNjsm2/HXqdEm5fCDYnk8lERJ3V6NGjUVZWhkOHDuF3v/tds/fj9Xpx11134d57723B3hEREXUeIRGC3W9HobcQ9oAdOqUe7xWuxmHnoXAbrVKHa7KvQz/TACaSqVNgMpmIqB578mqSyT3TdXG1YJ1Oo4TFWLW+6og+NXMn7zjoQCgE6DVK2F0yPL5ge3WRiIhakdlsRlJS0lnv569//StCoRDuvvvuFugVERFR5xIIBVDkPY0yfyl8QR8kSHjrxOso8JwMtzGrEvCLHvPQTd+diWTqNFTt3QEioo7G7Qvi2Glv+HGfLD30mvj621uCQQWtRomRfc3YcdABAHB5g9ib58TgHkZUOGTYXTL02vhJkhMRUdvJz8/HY489hldeeQV6vT7q7YqLi1FSUhJRlpubCwCQZRmy3DW/GSPLMoLBYJc9/1gwVrFhvKLHWEWPsWqaJ+hBia8YZZ4yIAj4ZC9Wn1wFZ7BmUFKKJhWzsubAJJlR4S2HpFQhRZUCi9KKYLDrDezhdRW9to5VrMdhMpmI6AwH8t0QtdanG5hjhEYdX8lkk0GCUSshI0mD5AQ1yioDAKoW4hvexwwBoMIRQKpFAykO5oImIqK2ddddd2HkyJG45pprYtpu2bJlWLJkSb11DocDNputBXoXf4LBIJzOqgSDJPEPuY1hrGLDeEWPsYoeY9U4p+yEzV8Bt+yGTqHHSfcJrLevgV/ULOCepc7CJQmXQelWoUQugVIhwaxJgDIowe6xt2Pv2w+vq+i1dawcDkdM7ZlMJiI6Q+35kvUaJXpl6NqxN82jUSlhNalQ7ghg7AAzPt1RDgDYf9yFSpcMk16CwxtEpVtGolndzr0lIqKGhEIh+P3+phsC0Gq1LfKV2fXr1+Pdd9/Ftm3bYt72tttuw5w5cyLKcnNzMXPmTJjNZlit1rPuXzyqHvFjsVigUvEjWGMYq9gwXtFjrKLHWNUvJEIo85XB5XdCVgWQpkrDIcdBrPF/ghBC4Xb9TQNwafplkBQSKgN2GJQGpGnTkKRJ7tJTW/C6il5bx8psNsfUns8eEdEZas+XnJOugyFOp4Iw6VXQa5U4p5cJn+0ohwAQEsCOg5W4YGQiKl0yKpwBJpOJiDqwL7/8EtOmTYuq7f79+zFw4MCzOp4sy/jtb3+LX/7ylxg7dmzM26elpSEtLa3eOpVK1aU/PEqS1OVjEC3GKjaMV/QYq+gxVpH8IT+KvUUol8sBBZCqS8O3FTuwtnhNRLvRiWNwQdqFUEABe8AGtVrDOZJr4XUVvbaMVazH4LNHRFSLHBQ4dNIdftwnUw+9Nr6muKhm1ksw6ST4ZYH+2QYcPFF1Xl/vr0om67RKVLqCcPuCcZswJyLq7AYOHIjly5dH1TYzM/Osj/faa6/h4MGDeP7555GXlxdR53A4kJeXh7S0NBgMhrM+FhERUTxwyy4UeYtg81dAJ+lhUBmwoWQdtpd/HdFuauoFGJd0LgBwsT3q1JhMJiKq5UihG75AzYTJ/bsboI2z+ZKrSZICFqMapZUyxvY3h5PJRRV+HC/yoluqFhWVVQvxMZlMRNQxZWRkYMGCBW12vPz8fAQCAUycOLFO3WuvvYbXXnsNq1evxsyZM9usT0RERO1BCAFbwIZSXwkcgUokqC2QFBI+PPUB9lXuCbdTQokZ6ZfinMThEEIwkUydHpPJRES17MlzhX9WSQoMyDbE9S9/s1GCQatE32566DVKePxVc3l9vb8S12SkA4qahfhUXIiPiKjLyc/Ph9vtDk+Pcc0112DEiBF12l155ZW49NJLceONN2L8+PFt3EsiIqK2FRRBlPpKUeYrgS/oR6ImCXJIxjsn38Zx97FwO7VCjRkJl2JgwiAmkqnLYDKZiKiWH2otvtc9RQuzIb7fJo1aCWaDCkUVPozqZ8ZXe6tWDv7usANXTUqFSSfB4alaiC+JcycTEXUajzzyCABg7969AICVK1di8+bNAID7778/3G7evHnYuHEjhKj6Vs7AgQMbnHe5V69eHJFMRESdXiAUQJH3NMr8pZAgIUmTBFfQhVUn3kKRryjcziAZcVXWHCT4EphIpi4lvrMkREQtSAiB/cdrRib3iuP5kqsplQpYjBJKbAqM7l+TTPb6Q9h11Ikx/c2wu2TYHAEkmlS84SEi6iQeeOCBiMevvPJK+OfayWQiIiKqERIhFHuLUOIrhkEyQC8ZUO4vw39OvAV7wBZul6hOxJzsnyNBSoDL50ZlwM7F9qjLYDKZiOhHBaU+VLqD4cf9uumhi9P5kmsz6VUw6iRoVAqkJ2pQVOEHAGzbX4mxAxJg0Eqwu4Nw+0Iw6jh3MhFRZ1A90rgpGzZsaNH9ERERxbNSXynK/WXQKfXQSwYUegqw6uR/4AnWLNKeqcvErO5zYVQZIcsyXLITBqWBiWTqMuI/S0JE1EL21povWaEAhvQwQqmM/xsBg1YJk0GCJxDCuYMSwuWHT7pRVhmAUS/B6QnC7pLbsZdERERERETtx+a3ocxXCgjAqDLiiPMw3sp/PSKR3NvYB9fk/AJGlRFCCFQG7FAqJKRp05hIpi6DyWQioh/trjVfcrpVg8SEzjGHsEKhgMWoglpS4Jw+JlTnxwWA7QcqoZIUkJRVC/EF5FC79pWIiIiIiKituWUXSnzF8IQ8SFBbsNv2Pd49+Q4CIhBuM9RyDq7qPgcapSZijuQkTSKSNMlMJFOXwWQyEdGP9tUamdwrQwe9pvO8RZr1Khi0EiSlAoN7GMPl2/bbERICph9HJ5dVBhAM8qvMRERERETUNfhDfhR7i1EZsMOqsmJr2Vf45PRHEKj5XDQheSIuzfgZJIUUkUhO06YhQW1hIpm6lM6TKSEiOgvljgBO/ziXMAD07WaAXtN55g/WaZSwGFXw+UMYV2uqi3KHjNwCD3QaJQJBgfxiLw4XuFFq90NmUpmIiIiIiDqxoAii2FuEcn8ZLGorvirbhE2lGyPaXJg+A+enToVCoYhIJKfr0jkimbokJpOJiBA5XzIADO5hhCR1rpuCBIMKWo0SfTL1EQvtbdtvh0KhQJpVDY1aiRKbH0cKPcgtcKPE5ufUF0RERERE1OkIIVD244J7BsmA72078XXZlnC9pJAws9ssjEocE25fO5HMOZKpq2IymYgIwJ5a8yVbTSpkJmvbsTetw2SQYNRK8MsCYweYw+XfH3HC4w9CoVDAqJOQkayFTqtEqd2PI4VuHC5wo6jCDz+TykTUxf373/9GWVlZe3eDiIiIWoAtYEOprxQKKHHUdQTri78I16kVaszNvhYDzAMBMJFMVBuTyUREAPbk1SSTe6V3rvmSq2lUSlhNKvgDIYwbWDPVRUAW2HnYGdHWoJWQnqSFQS+h3CFXJZVPunG63AdfgEllIuqa5s+fj88++yz8WJZl5ObmtmOPiIiIqDlcsgulvmL4gl4Ue4vw8akPw3VKKHFl99nINuQAYCKZ6EydL1tCRBQjty+IY6e94ce9s/TQaTvn26NJr4Jeq0SiSY3s1JrR11/vt9fbXq+RkJ6oQYJBBZtLxpFTHhw+6UZhmQ9ef7Ctuk1E1CEIETmXvN1ux4ABA7Bu3bo6bffs2YPXX3+9rbpGREREUfKHfCj2FqEy4IBTduKDwtURi+39LOsK9DL2BsBEMlF9Ome2hIgoBgfy3aidHxiYY4RG1TnfHs16CSadBJcviPGDLOHyvNNeFNVagPBMWo0SaVYNrEYVKj0yjp3y4NBJDwpKfXD7mFQmoq7rzARztV27dmHevHlt3BsiIiJqTNWCe8Uo95fDH/JhdcEqyEIO11+YPgODEgYDYCKZqCGdM1tCRBSD2vMl67VK9M7UtWNvWpckKWAxqhEKASP6mCApa26GtjUwOrk2jVqJVIsGVrMKbl8QR38cqXyyxAuXl0llIiIiIiLqmIQQKPWVosxfiqCQsfrkKvhCvnD9xOTJXGyPKApMJhNRl1d7vuQeaToYtFI79qb1mY0SDFolFArgnN7GcPn2A5UIhuofYXcmjUqJ5AQ1ki0qeP0hHDvtQW6BG8eLPHB45KZ3QERERERE1IZsgQqU+krgk/14v2A1XEFXuG6UdTQmpkwGwEQyUVOYTCaiLk0OChw66Q4/7p2ph07TuZPJRq0Es0EFlzeIc2tNdVHpDuJAvquRLetSS0okJaiRYtHAFwghv8iL3AIP8k57UOmSG/z6NxFRvLLZbO3dBSIiIoqRU3agxFsCl+zAJ6c/hC1QEa4baB6Mn6TPgEKhgBACNiaSiRrFZDIRdWlHCt3wBWoSngOyDdCqO/fNglKpgMUoQalQoHemDlaTKlz32TflKCj1NbJ1/VSSAolmNVITNZCDIeQXe5Fb6MaxUx7YnDJCUY54JiLq6H7zm98gKSkJ06dPx5/+9CcoFAoUFhZClvmtDCIioo7IF/Sh2FuMCn8F1hWtRbGvKFzX09ALP8u6PJxIrghUQKPUIF2XwUQyUQNUTTchIuq89uTVjMRVSQoMyDZ2iRsGk14Fo06C1y8wbkACPv+2HEDVQnyPv3UcfbL0OP8cK87pZYIkRR8PSamA1aRGgkHA4QniZKkPFU4ZFpMKyWY1LEYVlMrOH18i6pw+/fRT7Nq1C7t378auXbuwefNmCCEwf/583HDDDejVqxcGDRqEgQMHoqSkpL27S0RE1OUFhYxibxHKfWX4qnQTTnjyw3WZuixc2X02JIWEkAihwl8BvUqHNF06EtVJXeJzIVFzMJlMRF1a7cX3uqdoYdZ37ikuqhm0SpgMEgrLfDhviAUbdlXAL9eMHj5S6MGRQg8sRgkTh1px3mALEozR/8qoGv2sgtkgwekJorDUB5tDhsWoQnKCGhaTKmLxPyKieHDRRRfhoosuCj8OBALYt29fOLm8e/dubN26Fe+//z4A8EMoERFROxJCoMRXglJfCbaVf40jrsPhuiRNMmZ3nwuNUoOQCKE8UA6jyoh0XTqsmsR27DVRx8dkMhF1WUII7DteMzK5V6YeOm3XmP1HoahK9pbY/DDqJfx+bg+s31mBHYcqEaiVVLa7gvh4Wxk+21GGEX3MmHyOFb0ydFEnSJQKBRIMKpj0ElzeIE6V+1DhCsBqVCPJrEKiSR3TyGcioo5ErVZj+PDhGD58OH75y1+Gy4uKisLJZSIiImof5f5ylPlK8W3FDuyr3BMuN6vMmJt9LQwqA4IiiIpABcwqE9J0GbCoLY3skYgAJpOJqAsrKPWh0h0MP+7fTQ+dumskkwHArFfBoK1K8qYnanDNBem4/LwUfL2/Ept+sKGsMhBuGwwB3x524NvDDnRP1WLyMCtG9zdDo4ouXkqFAma9CiadBLc3hKJyHyqcAVgMASQnqJFoVkPFpDIRdRLp6el1RjETERFR23EEHCjzleDb8m+w0/ZduFwv6XF19rVIUCdADsmoCFQgQZ2ADF0GzOqEduwxUfxgMpmIuqy9teZLViiAwT2MXWo+X51GCYtRBXuxF0IIKBQKGHQSLhiZiKkjrNh/3IVNP9iw77g7YruTJT68ua4I739VggmDLZg0zIrkBHVUx1QoFDDqJRh0Snh8IZTY/bC7Akiwq5CUoEGiWRV1gpqIiIiIiOhM3qAXxb5i7Kz4DtvKt4bL1Qo1ZnefixRtCgKhAOwBGyxqCzL0mTCpTO3YY6L4wmQyEXVZP9SaLzndqkFilAnRziTBqIJWo4TXH4JeWzNftFKhwJCeJgzpaUKJzY/Ne+z4er8dHl8o3MbtC2Htzgqs21mBwT2NOH+YFQNyDFBGMQVGdeLaoJPg8QVR5pBhc8lIsFfNqZxkVkPThUaJExERERHR2ZNDVQvu7bbtxKbSjeFyJZS4svtsZOm7wR/yozJgh0WTiExdJgwqQzv2mCj+MJlMRF3W3trzJWfooNd0veSlWS/BqJXg9AYjksm1pVo1uHJSKi4dn4xvD1Xiy902FJb5w/UCVaO89+a5kGpRY/I5VowbmABDA/s7k14rQa+V4PWHYHPKsLtklNoDSPoxqazrgs8LERERERHFJiRCKPEWY699D9YXr4NAzVowP8u6Ar2MveEL+lAp25GkSUaGPhN6Sd+OPSaKT3H1Cd3n8+Hee+9FVlYW9Ho9xo8fjzVr1jS53eLFi6FQKOr80+l0bdBrIuqIyh0BnC6vSYj27WaAXhNd8rMzUauUsJpU8AdCCIVEo221aiXOG2LFvdf0wB1XZWNUPzOUZ/wWKbEH8N9NJfjTq0fx9voiFJb6ou6LTqNEWqIGCUYVKt0yjp3y4NBJNwpKffD4gk3vgIiIiIiIuqxyfzkOOQ/g86JPEBRyuPzC9BkYlDAY3qAXlXIlUrQpyNRnMZFM1ExxNTJ5wYIFWLVqFRYuXIh+/frh1VdfxaWXXor169dj0qRJTW7/3HPPwWSqmQdHkrpe4oiIqtSeLxmomi9Z6qILwJn0Kui1VXMYG/VNvy8qFAr0ydKjT5Yedmcqvtprw5a99ojFDP0Bga/22vHVXjv6Zukx+RwrzulliirGWrUSqVYN/HIIlS4ZlS4ZpXYJyQlqpFjU0HXBpD8RERERETWsMlCJI87D+F/hB/CHagYNTUyZjFGJY+AJeuCWXUjVpiJDnwGNUtuOvSWKb3GTTN6+fTveeustLF26FHfffTcAYN68eRg6dCjuuecebNmypcl9zJ49GykpKa3dVSKKA3vyauZLtppUyEzuujcTZr0Ek05CuVOOKplcm8WkwqXjU3DRmGTsPurEl7ttOHrKE9Emt9CD3EIPLEYVJg21YMIQCxIMTf/60aiUSLFoEJBDqHQHcey0Fx5fCP26c04zIupYnE4nKioqIETdb3jk5OS0Q4+IiIi6Dk/Qg2POI1h98l14gjWLh4+yjsHE5Mlwyy54Ql6k6tKQrsuAWtn11sohaklxk0xetWoVJEnCTTfdFC7T6XS44YYb8Ic//AEnTpxAdnZ2o/sQQqCyshJmsxmKKBaIIqLOa8+xWvMlp+tg0MbVrD8tSpIUsJjUKK2UEQyKZo3QVkkKjOpnxqh+Zpws8WLTDzZ8c8iBgFyTWLG7ZHy0rQyf7ijDyL5mTB5mRc8MXZPvx2qVEskJSlQ4AvD4Q/AHQlycj4jandfrxZIlS/Dyyy+jrKyswXbBIKfpISIiai2BUAAnXcex6uR/4JArw+WDzIPxk/SL4Aq64A/5qkYk6zKhUsZNGoyow4qbV9HOnTvRv39/JCQkRJSPGzcOAPD99983mUzu3bs3nE4njEYjZs6ciSeeeALp6elNHru4uBglJSURZbm5uQAAWZYhy3J9m3V6siwjGAx22fOPBWMVm9aOl9sXxLHTNaNne2XqoFKG4vL5aalYGTQCOrWA3eWDxaA6qz+4ZSWpMXdKKn42PgnbDziwea8dZZU1/QuGgG8OOfDNIQe6p2gweZgFI/uaoFE1niBWSwJeXwAujx9KRey/vvg6jB5jFT3GKnptHavWPs5tt92GFStWYObMmZg8eTISExNb9XhEREQUKSRCOOUuxFsn3kS5v+YPuz2NvfHTrMvhlB0IIog0bTrS9emQmvEZgojqiptX0qlTp5CZmVmnvLqssLCwwW0TExNx++23Y8KECdBqtdi0aRP++c9/Yvv27fjmm2/qJKjPtGzZMixZsqTeOofDAZvNFv2JdCLBYBBOZ9VUAZx/unGMVWxaO14/5HlR+5vIvVJkuJyVDW/QgbVUrEIhAY3wodIj42SlgEatgF4tQa1qflJZCeDcfgqM62vBoYIAth704FBBIKLNyVI/3lxfgve+KsXYfjqcO0CHRFP95xEKCbjcQZSWexH0x/7VNL4Oo8dYRY+xil5bx8rhcLTq/v/73//i17/+NZ5//vlWPQ4RERHVr8RXjLdPvoHT3lPhskxdFq7sNgsu2QkBgVRtOtJ0aZAUvE8jailxk0z2eDzQauvOaarT6cL1DbnjjjsiHs+aNQvjxo3Dddddh2XLlmHRokWNHvu2227DnDlzIspyc3Mxc+ZMmM1mWK3WKM+ic6ke8WOxWKBSxc2l1C4Yq9i0dryOlxaFf9ZrlRjYKwVWq67Fj9MWWjJWCRYBh0eGwyWj0hOC2yvD7RfQayQYdEqopeZPLTFyQNW/EnsAm/fYsf2AAx5/KFzv8Qt8udeDTXs9GNLTgElDLejfXQ/lGSOknQEfVFpds54vvg6jx1hFj7GKXlvHymw2t+r+FQoFRo0a1arHICIiovrZ/DasOvE28lzHwmXJmhTM7n41PLIbCqUCadoMpGpToVRwijyilhQ3n3r0ej18Pl+dcq/XG66PxbXXXou77roLX3zxRZPJ5LS0NKSlpdVbp1KpuvSHR0mSunwMosVYxaY147Uvv2ZRhh5pOpgMurh+XloqVioVoNOqkWoFvP4QHB4ZdpcMhzsIuysIgSAMOiUMWgmSsnkjltOTJMw6X4efTUjFt4cq8eVuGwrLalZbFgD25LmxJ8+NNKsak4dZMW5gAvTaqpEEao0KXj+gVEpQNqMPfB1Gj7GKHmMVvbaMVWsf44orrsAXX3yBm2++uVWPQ0RERJE8QTdWn1yFfZV7w2VmVQLmdL8GvpAfKqUKqdo0pGhTmEgmagVx86knMzMTBQUFdcpPnar6OkNWVlbM+8zOzkZ5eflZ942I4occFDh0siaZ3DtTD30XXnyvITqNEjqNBikJarh9ITg9MiocMlzeIEpsfkhKBYw6CTqtss7o4Who1UqcN8SKCYMtOHrKg00/2PH9EQdCNYOVUWwL4N1NJfjf16UYNyABk4dZYdRJ8AYEfIFQOMFMRNQeHnjgAVx99dW46aabcPPNNyMnJ6fe6TuSkpLaoXdERESdUyAUwIcFH+Cbiu3hMr2kx9Xdr0EQQWiVWqTq0pCsST6rdWCIqGFxk0weMWIE1q9fj8rKyog5jrdt2xauj4UQAnl5eRg5cmRLdpOIOrgjhW74AjUTJg/MNkBzFvMCd3YKRVXS2KiTkGrRwOUNotIdhM0ZgMsXhN0lQ6tWwqCToNPEnpRXKBTok2VAnywD7M5UfLXXhi177ah0B8Nt/AGBzXvs2LzHjlH9zLjs3GR4/UwmE1H76tevH4CqRaJffvnlBtsFg8EG64iIiCh6IRHC2tOfY0PJunCZWqHGrG5XQ6FQQCdpkaZLR5ImuR17SdT5xU0yefbs2fjb3/6GF154AXfffTcAwOfzYfny5Rg/fjyys7MBAPn5+XC73Rg4cGB425KSEqSmpkbs77nnnkNJSQkuvvjitjsJImp3e/Nc4Z9VkgIDso38i3WUlEoFzAYVzAYV0hM1cLhlVLpl2F1BuDwyKhwCeq0SRp0EtSr2xLLFpMKl41Nw0Zhk7DriwKYfbDh6yhvR5rvDDgzpaUSPjNimNiIiaml/+tOf+PuDiIioDX1Vuhkfnvog/FgJJWZ2mwWtSgujZESaLh1WTWI79pCoa4ibZPL48eMxZ84c3HfffSguLkbfvn2xYsUK5OXlRYwGmTdvHjZu3AghakYe9ujRA3PnzsWwYcOg0+mwefNmvPXWWxgxYgTnuSPqYn445gz/3D1FC5OBo1ubQyUpkGhWI9Gshi8Qqkosu2RUuoOocMoIhQSMOqlqfmUptmSLSlJgdP8EjO6fgJMlXmz6wYZtByrDU2AUlvrg9nKkHxG1r8WLF7d3F4iIiLqM7yt24p0Tb0KgJtdzaeZlSNBYYFaZkKbLgEVtacceEnUdcTVR6GuvvYaFCxdi5cqV+O1vf4tAIIAPP/wQ559/fqPbXXfdddi+fTsWL16MhQsXYseOHbjnnnvw5ZdfwmAwtFHviai9CSGw73jNyOTemXromzE1A0XSqpVIsWjQO8uA/tkG9M0yID1RCyGAEnsAxTY/XN4gQrX+yBet7qk6/PyCDPSqNRK5qMIPty+EgBxqZEsioq7r1KlTWLRoEaZNmwaz2QyFQoENGzbEvJ+3334bEyZMgNFohNVqxXnnnYd169Y1vSEREVELynUcxoq8VxAUNQNKpqddhDRdOswqMzJ0WUwkE7WhuBmZDAA6nQ5Lly7F0qVLG2xT343yiy++2Iq9IqJ4UVDqi5iLt193PbRqJpNbkkFbNRo51aKGyxeEwxWEzRWommvZKUOjUcKgU0KnVsb09fAe6TocKfQAAArLfPAHQvAGQs2aToOIqDny8/MBADk5ORGPm1Ldvi0dPHgQjz/+OPr164dhw4Zh69atMe9j8eLFeOihhzB79mwsWLAAgUAAe/bsqXdBbCIiotZS6CnEC0eWwR/yhcsmJE9ED2MPWDVWZOgyYVQZ27GHRF1PXCWTiYjORu35khUKYEgPI5RKznfZGpRKBcx6Fcz6H+dX9shwuIOwuWS4vTJsDhm6H+dX1kSREO6Rrgv/XO6QUeEIwOsPwcypk4mojfTs2RMKhQIejwcajSb8uCntsQDf6NGjUVZWhqSkJKxatQpz5syJafuvv/4aDz30EJ544gnceeedrdRLIiKixtn8Ffjn4b/DFaz5HDfCOhKDzINh1SQhU5cJg4rfNidqa0wmE1GXUXu+5PREDRLN6nbsTdchSQpYTWpYTWqkB0JweIKwuwJwuIOwO2UEQwIGnQRjI/Mr90jTRTw+UeLDwByOQCCitvPKK69AoVBArVZHPO6IzGbzWW3/9NNPIyMjA3fccQeEEHC5XDCZTC3UOyIioqa5ZTeeOfwUbIGKcNkA00CMso5BkjYZGfpM6CWOLCFqD0wmE1GXsafWyOReGTrotVx8r61p1Eokq5VITlDD4wtWJZadMhweGSX2AJRKwKiVoNcqI0aNJ5pVMOklOD1VI/xOV/jh9AQhhOiwyRwi6lwWLFjQ6OPOZO3atTjvvPPwzDPP4JFHHkFZWRkyMjLwxz/+Ebfffnuj2xYXF6OkpCSiLDc3FwAgyzJkWW61fndksiwjGAx22fOPBWMVG8YreoxV9No7Vv6QH88eeRpF3tPhshx9D4xLnIBEdRLS1OlQC3WHeC7bO1bxhLGKXlvHKtbjMJlMRF1CeWUARRX+8OO+WQbouPheu9JrJeir51f2BlHpDsLuDMDlDaGowg+NWgmDVgmdpmp+5R5pOuz9cQHF0+V++AIh+AICOg2TyUTUfvbs2YOPP/4YeXl5AKqmw7jkkkswbNiw9u1YM1VUVKC0tBRfffUV1q1bhwcffBA5OTlYvnw5fvOb30CtVuPmm29ucPtly5ZhyZIl9dY5HA7YbLZW6nnHFgwG4XRWfUNKkvjH7MYwVrFhvKLHWEWvPWMVFEG8UbwSx7154bJUVRrO006E2WeGHgZ4/B544GnTfjWE11X0GKvotXWsHA5HTO2ZTCaiLqE6CVltSA8jJM6X3CEoFAqY9CqY9CqkWzVweIJwemTYnDJc3iBsThk6jRLdUrXh57Gg1AuvPwivP8Q/ChBRu/D5fLj55puxcuVKCCGgVFa9F4VCIdx333247rrr8NJLL0Gj0ZzVcUKhEPx+f9MNAWi12rP+tkb1B5eysjK89dZbmDt3LgBg9uzZGDZsGB555JFGk8m33XZbnTmac3NzMXPmTJjNZlit1rPqX7yqHvFjsVigUvEjWGMYq9gwXtFjrKLXXrESQuD1EyuQ6z0ULktUJ+LC9IvR3dAdadp0qJUda6pCXlfRY6yi19axinWKND57RNQl7MmrmS/ZalIhM0Xbjr2hhlTNr6yC1aRCWmIITnfV/MqV7iCSE2p+Zbm8IZTYAuiZEQR/lRFRe7j33nvx2muv4bbbbsNvfvMb9OnTBwqFArm5uXjmmWfw3HPPISkpCU8//fRZHefLL7/EtGnTomq7///Zu+84uep68f+vc6b32dm+KZueTaeHXoIQikBQEGyIyg8V9F69+sCrV7ig+L0qXi8qIiIQqYI3gEi5FOkhkFCTkL4pm2R7n15O+f0xycwuSTabZHdny/v5eOzjMedzzpn57GdnZ855n/d5fzZsoKam5ohez+XK1p+02WxcdtlluXZVVbniiiv4z//8T3bu3MnEiRP3u39ZWRllZWX7XWe1Wsf0yaPFYhnzY9BfMlaHRsar/2Ss+q8QY/XE7mW827kqt+y1ejmv8tNUe6qpcFZiVYfn303eV/0nY9V/QzlWh/oa8tcTQowJH/eYfG9yuROXZLMOe3arSsivEvLbSKZ1bFaFv77Skltf355iTlIvYA+FEGPZQw89xJe//GXuuOOOXu0zZ87kD3/4A+FwmIceeuiIg8k1NTUsXbq0X9tWVlYe0WsBhEIhnE4nwWBwn9sq9waJOzs7DxhMFkIIIQ7HS00v8HLzi7llp+rkgsqLmOKZQrmrHIsi4Sshhgv5bxRCjHrxlM72pmRueco4l5RGGGGcdgsVIQdFXiud0ewtP82dGeIpA103sVikZIkQYmhlMhlOPPHEA64/+eSTefrpp4/4dSoqKoZ0sj9VVTnqqKN49913SafTvcp0NDQ0AFBaWjpk/RFCCDH6vd22gr/XP55btio2Lqi8iJn+Gsoc5aiKnLsJMZzIf6QQYtTbuDOOaeaXZ0/wYLPKx99I47SrTCh15pYbO1KkMgbJjFHAXgkhxqrFixfzwgsvHHD9888/z7nnnjuEPTo8O3fuZOPGjb3arrjiCnRd5/7778+1JZNJHn74YWbPnk1VVdVQd1MIIcQotbZrNY/UPZBbVlE5v/IC5gbnSyBZiGFKMpOFEKPeuh71kt0OlcmVzj62FsOVw6YyqcLJmj0lSxraUiRT2Un4PE6ZDVgIMbR+9rOf8bnPfY7PfOYzXH/99UybNg2ALVu28Ic//IG6ujoee+wxOjo6eu0XCoWGpH+33norAOvWrQPgwQcfZPny5QD85Cc/yW131VVX8frrr2P2uOr6jW98g3vuuYfrr7+ezZs3M3HiRB588EHq6uoGJNtaCCGEANgS2cw92+7GIJ8cck7FYo4NHU+xvUQCyUIMUxJMFkKMemt71EueWO7E5ZCPvpHIoipMG+fKLac1k8aONNUVkpkshBh6s2bNAmDt2rU89dRTvdbtDczOnj17n/10fWhqvd944429lu+7777c457B5P1xuVy88sor3HDDDdx3333EYjGOOuoonn32WRYvXjwo/RVCCDG27I7v4q7aO9DMTK7tzNJFnFxyGsX2YhRFytgJMVxJREUIMappusnm3fHc8pQKFy6HXOEeqWaMc6Mo5MqWNHamicskfEKIArjpppuG9Yluz0zjvrz22mv7bS8rK+Mvf/nLwHVICCGE2KMt1codW35L0sjPa7MwdBJnV5xDyF5cwJ4JIfpDgslCiFFta0OcVCZ/Ql0zwY3DJsHkkcrvsVIWtNPcmQaguSNNIm2QzhjY5e8qhBhCN998c6G7IIQQQow43Zlufr/5f4ho4VzbgsBRXFR1CUX2oSkFJYQ4MnLmLYQY1dbtiOUeWy0KMyd4CtgbcaScdpWJZY7ccmN7ilQmWzdZCCGEEEIIMXxFtQh3bP4f2tJtubaZvhoun/h5ihwSSBZipJBgshBiVOtZL3l8iQOvWyZqG8nsNpXq8vwEio2daWIJnWRGgslCiKH10Ucf8de//rVX2wsvvMDpp5/OwoUL+e1vf1ugngkhhBDDT0yL8fvNt9OQbMi1Vbsn8eXqr1JkLypgz4QQh0qCyUKIUcs0TdbX5TOTp1S6cEu95BHNoirMHO/OLRsGNHSkJTNZCDHkbrjhBh577LHc8vbt27n00kvZvn07AP/2b//G3XffXajuCSGEEMNGQo9zx5bb2Z3YlWurco3j/5vyTYocEkgWYqSRqIoQYtSqb0sRjucnZ5s+3iX1kkeByZUurJb8pFfNnWkiCQ3D6N9kU0IIMRBWr17Nqaeemlt+4IEHsFgsfPjhh6xcuZLLLruMu+66q4A9FEIIIQovqSf5w5bfsTNel2urcFbyranfltIWQoxQElURQoxaPeslKwrMqfagKEofe4iRwOO0UFVszy03d6RJZ0wpdSGEGFLd3d0UF+dnnH/uuec455xzKCkpAeCcc86htra2UN0TQgghCi6lp/hj7e/ZHtuWaytzlPOtad8h5CjuY08hxHAmwWQhxKjVs15yeZGdkN/ex9ZipHDYVCaU5usm17enSGcMKXUhhBhSlZWVbNiwAYDGxkbef/99zj333Nz6aDSKqsqhthBCiLEpbaS5a+sfqI1uybWV2Eu5btp3KHGUFLBnQogjZS10B4QQYrB83CMzeXKFC6ddTupHA4dNZVKlk7fWdQPQ1p2hO6ZJMFkIMaQuueQSfv/735NMJlm5ciUOh4NLL700t3716tVMmTKlgD0c2wzTQFXke18IIQohY2S4e+sf2RzZmGsL2Yv51vTvUOosK2DPhBADQYLJQohRqSOcobkznVueNk6CyaOFqirU9JiED6CxI8WUKleBeiSEGItuvfVWWltbefDBBwkGg/zlL3+hvLwcgHA4zLJly7j++usL3MuxKabF6Ei3U+GsxKbaCt0dIYQYUzRD455tf2JDeF2urchWxHXTvk2Fs6KAPRNCDBQJJgshRqV1dbFey3MnebCoUi95tBhf6sDlUEmkstnILV0ZEimDjGZgs8pFAyHE4PN6vTz88MMHXLd7927cbvd+14vBpZkaaSNFUk9KMFkIIYaQbmrct/3PfNy9JtcWsAX51vTvUOkaV8CeCSEGkpxxCyFGpY935OslF3mtVIYcBeyNGGhOu5VxJfm/aWN7inTakEn4hBDDgqqqBAIBbDYJZBZKWs+QMpKF7oYQQowZuqlz//b7WN31Ya7Nb/XzranfZpxrfAF7JoQYaBJMFkKMSh/3mHxvUoUTp0M+7kYTp11hYll+Er7drSmSGV3qJgshhAAgrseIZqIH31AIIcQRM0yDh3bcz/ud7+XavFYf35x2PRM8EwvYMyHEYJAyF0KIUSee0tnelM9GmlrlwmW3FLBHYqDZrSpTKpy8smc5ktDpiGikJJgshBBjVlJP8lLT86wPr2N3fBefHf85qtzjsKv2QndNCCFGLcM0eKTuQVZ1vJNr81g8fGPq9VR7JhewZ0KIwSKpekKIUWfjzjimmV+ePdGD1SL1kkcTVVWYMcHTq62lK00koWH2/OMLIYQYM2yqjddaXmFnvA4Dg7r4dlK6lLoQQojBYpomj+38K2+3v5Vrc1ncXDv1eqZ4pxSwZ0KIwSTBZCHEqLOuR71kt0NlcqWzj63FSFUWtBPw5DPOmzvSpDMmKambLIQQY5JFsTDNNyO3vCu+i6TUTRZCiEFhmibLdj/G8rbXc21O1cn/N/VbTPNNK2DPhBCDTYLJQohRZ02PesnV5U5cDqnoMxo5bCrjS/MXChraU6QyhtRNFkIMung8zrHHHstdd91V6K6IT5jhm5l73JxsJpwOyx0rQggxwEzT5Mn6x3mt5ZVcm0N1cM3UbzKzx+ewEGJ0kmCyEGJU0XSTzbviueUplS5cdvmoG42cdpXqnpPwtaVJpSWYLIQYfG63m+3bt6MoUkJpuOkZTDbQqYttJ2OmC9gjIYQYfZ5peIqXm1/MLdtVO1+bfC2z/LML2CshxFCRCIsQYlTZ2hAnreUzkGZOcGO3yUfdaOSwKUyqyAeTUxmDtu4MiZRewF4JIcaK8847jxdeeKHQ3RCfMM41HpfFlVveEd9BUk8VsEdCCDG6/F/jMzzf9Fxu2abY+Ork/4+5wXkF7JUQYihJhEUIMaqs2xHLPbZaFGZ+YpI2MXooSvbv2zMxsLk7TTxloOtyS7MQYnDdeOONbN68mS9/+cssX76c+vp6Ojo69vkRQ0tVVCZ7puaWd8d3kZRJ+IQQYkC82PQ8zzT8I7dsVaxcPfnrzA8uKGCvhBBDTQqJCiFGlbU96iWPL3Xgc1n62FqMdEGvlRK/jdbuDABNHels3eSMgccif3shxOCZM2cOAOvXr+eRRx454Ha6LndLDLWp3mmsD38MQGuqhe5MJ6WOUilLIoQQR+CV5pd4qv6J3LJFsfDlSV/lqKJjCtgrIUQhSDBZCDFqmKbJ+rp8ZvKUShcuh9yAMZo5bCrjyxy5YHJ9W34SPo9TgslCiMFz0003SXBymJrmm5F7bGCwPbqdie5JOCyOAvZKCCFGrtdbXuXx3f+bW1YVC1+q/grHhY4vYK+EEIVyWMHkn/70pwPy4jfddNOAPI8QQkA2kBiO5zPApo9z4ZB6yaOaw5adhO/DLdmM9Mb2FImUTMInhBh8N998c6G7IA6g2lWN2+Imrmcn5N0Z30HSSEowWQghDsNbrW/yt11/zS2rqHxh4pc4ofjEAvZKCFFIhxVMXrp06RG/sKIohxxMTqVS3HTTTTz44IN0dnYyf/58br31Vs4555xDep5zzjmHf/7zn1x//fXccccdh7SvEGL46lkvWVFgTrVHssZGOYdNYUplfhI+3YDW7gzjS+W2ciHE0EilUnzwwQe0tLRwyimnUFJSUugujXk2i41qzyQ2hNcDsDuxm5SeBFugwD0TQoiRZVXHO/x110O5ZRWVKyZ+gZNKTilgr4QQhXZYweTt27cPdD/65eqrr2bZsmV897vfZfr06fzlL3/hggsu4NVXX+XUU0/t13M88cQTvP3224PcUyFEIXzco15yeZGdkN9ewN6IoaAoCtOqPFjUbCAZoKUrTSKlk84Y2CUzXQgxiH73u99x8803093dDcBLL73EokWLaGtro6amhl/96ld87WtfK3Avx6Zp3hm5YHJbqpXOVCeljjK5yCyEEP20Nraax9v+hkl2YmsFhcsmXMmppacXuGdCiEIbMWfZq1at4tFHH+W//uu/uO2227j22mt55ZVXqK6u5oYbbujXcySTSb7//e/zwx/+cJB7K4QohLU9MpMnV7hw2kfMR5w4Ah6XhcpQ/tblxvYUac0gIaUuhBCDaOnSpXz3u9/lvPPO495778U0zdy6kpISFi1axKOPPlrAHo5tNf5ZuccmJtviW0kb6QL2SAghRo6Puj7gibb/zQWSAT4z/nLOKDuzcJ0SQgwbhx1pOeaYY/jqV7/K7bffzquvvkp7e/tA9msfy5Ytw2KxcO211+banE4nX//613n77bfZtWvXQZ/jV7/6FYZh8IMf/GAwuyqEKICOcIbmzvxJ4vRxLlwSTB4TnDaV8aX5YHJ9W4p0xpS6yUKIQfXf//3fXHLJJTzyyCNcdNFF+6w/9thjWbduXQF6JgDGu8bjtXpzy7tidSSNZAF7JIQQI8Pqro+4v+4+DPLH0kvGfYZF5Z8qYK+EEMPJYZW5APjoo49YvXo1AKZpoigKlZWVLFiwgAULFjB//nwWLFjAzJkzUdUjD+h8+OGHzJgxA7/f36v9hBNOyPVnwoQJB9x/586d/OIXv+C+++7D5XId0mu3tLTQ2traq622thYATdPQNO2Qnm+00DQNXdfH7O9/KGSsDs3hjNfabeFeyzUTnBiGjjHK44ny3gKLajCxzM47G7LLLV0ZovE0sbgFzZf//pGx6j8Zq/6Tseq/oR6rwX6d2tpa/uVf/uWA60Oh0KAnW4gDs6o2Jrmn8HF4DQC7E7ukbrIQQhzEx91ruXfbn3oFkj9ddQmfKl9cwF4JIYabww4mT5o0iYaGBi688EIWL15MXV0dq1evZs2aNfzf//0fkK1l6XA4mDNnDgsWLOCee+457I42NjZSWVm5T/vetoaGhj73//73v8/RRx/NlVdeecivfeedd3LLLbfsd10kEqGrq+uQn3M00HWdaDRbo9ZisRS4N8ObjNWhOZzx+mBzZ+5x0KPisyXo6hr9wR15b2UvaI4L9P5bN7V1E3Kn8NiSWNRsfUwZq/6Tseo/Gav+G+qxikQig/r8wWCQtra2A65fv349FRUVg9oH0bfpvum5YHJ7up32VLvUTRZCiAPYEF7Pn7f+Ed3MT2S9uOwCzqu4QD43hRC9HHYwedOmTdx11138/Oc/54033uDHP/4xTzzxBHa7na6urlxgec2aNaxevZpHH330iILJiUQCh8OxT7vT6cytP5BXX32Vxx9/nJUrVx7Wa1933XVcfvnlvdpqa2tZsmQJPp+PYDB4WM870u3N+AkEAlith/1WGhNkrA7N4YzXlsb8Cf2kChelxUV4XKN/rOW9lTW92onD1k0qk63r1hazodp9uD0uXI5s0ErGqv9krPpPxqr/hnqsfD7foD7/BRdcwN1338111123z7p169bx5z//WSbfK7Aa/2yofzy3vC22lcneKTgtzgL2Sgghhp/NkU38qfYPaGY+QeN035mcX3GhBJKFEPs47CN5m83Gd77zHb72ta/x61//mptvvpnbb7+dn/70p1x11VWcccYZnHHGGbnte05KcjhcLhepVGqf9mQymVu/P5qm8S//8i98+ctf5vjjjz+s1y4rK6OsrGy/66xW65g+ebRYLGN+DPpLxurQHMp4xVM6O5rzdRCnjXPjcTuwWsbGgY+8t8DrdlBV4mB7Y/Z90NSRQdMhY6j4eoyLjFX/yVj1n4xV/w3lWA32a9x6660sXLiQuXPnctFFF6EoCvfffz/33Xcfjz/+OJWVldx0002D2gfRt0pXFX5rgLDWDcDO+A5SRlKCyUII0cPWaC1/rL2DjJnJtZ1Zsogz3WdLIFkIsV9HXMzY4/Hwn//5n2zdupUlS5bwjW98g3nz5vGPf/yj13ZH+iFUWVlJY2PjPu1726qqqva73wMPPMCmTZv4xje+wY4dO3I/kL39cceOHcTj8SPqmxCisD7cEqHn9ao51Z4xE0gWWQ6bysTSfHBgV2uKtCaT8AkhBk9VVRXvv/8+5513Ho899himafLggw/y9NNP8/nPf5533nmHkpKSQndzTLMoFiZ7puSW6+O7Ser7JqcIIcRYtT22jTu3/I60kf9sPL30TJZUfVYCyUKIAzrymfH2KCkp4be//S2bNm3imGOO4bOf/SynnHJKbpK+I3XUUUexefNmwuHek2ztLV1x1FFH7Xe/nTt3kslkOOWUU5g8eXLuB7KB5smTJ/Piiy8OSB+FEENP103e25T/XHA7VCZVHNokm2Lkc9pVqsvzweTumEYkrhFP6X3sJYQQR6asrIx77rmHjo4OmpubaWxspLOzk/vuu++Ad7WJoTXdNyP3uDPTSWuyGcOUC41CCLEzXscftvyWpJG/w/OU4tO4fPyVEkgWQvRpwILJhmGwefNmPvroI2bNmsWCBQt4++23eeqppwbk+S+77DJ0Xefuu+/OtaVSKZYuXcrChQuZMGECkA0eb9y4MbfNlVdeyZNPPrnPD2Rr3T355JMsXLhwQPoohBh6TZ0pVvUIJleXO3E7ZBKsscZmVZhS2fsiQkt3hnjSIKNJ0EAIMfhKS0spLy9HVQfs8PqwNTY28u///u+cddZZ+Hw+FEXhtddeO6Tn+Oc//8lZZ51FSUkJwWCQE044gQcffHBwOjyIZvln9VreHttG2kgXqDdCCDE87I7v4o7Nt5PQ83NPLQydxJUTvzgsvseEEMPbYReT+9vf/sb69evZsGED69evZ8uWLaTTaRRFYfLkycydO5fzzjuPiy++eEA6unDhQi6//HJ+9KMf0dLSwrRp07j//vvZsWMH9957b267q666itdffz1Xo7mmpoaampr9PufkyZNZsmTJgPRPCDH04imdv7/VRkckP1HE/ClenA45ABprFEVhXIkDn9tCJJ7NRm7uSJPJGCTTBjarvCeEEIPj448/5rnnnsuVUZs0aRLnn38+8+bNK1ifNm3axC9/+UumT5/OvHnzePvttw9p/3/84x8sWbKEk046iZtvvhlFUfjb3/7GVVddRVtbG9/73vcGqecDr8xZQZEtRGemA8hm4iV1qZsshBi7GhIN/H7L/xDTY7m244qO54vVV0kgWQjRL4cdTL7yyitxuVyceuqpnHvuufzbv/0bc+fOZc6cObjd7oHsY84DDzzAjTfeyIMPPkhnZyfz58/nmWee4fTTTx+U1xNCDF+GYbK1Ic4/P+jItZUFbZw8J4BdAodjksOuMq7YwcY9dfDr21OktGww2Tc4X0tCiDEslUrxjW98gwcffBDTNHMn4IZh8KMf/YgvfvGL3HPPPdjt9iHv27HHHkt7ezuhUIhly5Zx+eWXH9L+d9xxB5WVlbzyyis4HA4AvvGNb1BTU8Nf/vKXERVMVhWVyd4pdHZmjxfqE7tJ9bilWwghxpLmZBO/2/wbolo013ZU8BiumvQ1LKrc3SmE6J8jmuY6kUjw3nvvkUqlyGQy6LqOoijMmTMHl2vga5Y6nU5uu+02brvttgNu099b+Myes3UJIUaczqjGE2+29ppg7exjQvjcR/SxJkYwp01lQpmTjbuyweTdLSkye4LJQggx0H74wx/ywAMPcN111/Gd73yHqVOnoigKtbW1/O53v+OPf/wjoVCI22+/fcj75vP5jmj/cDhMUVFRLpAMYLVaR+yEgjO8M/ig8z0AujPdNCWaKHWUoSpy8VkIMXa0JFv47ebfENHyJQLnBRbw1cnXSCBZCHFIDjvq8vzzz7N69WrWrFnD6tWr+dOf/kQmk0FRFFRVZcqUKcyfP7/Xz96J74QQ4kikMgYfb4+wamP+QGjWRDc1E9y47HJiOFY5bCqTK/K3LSfSBuG4TjSpyQVEIcSAe+ihh/jyl7/MHXfc0at95syZ/OEPfyAcDvPQQw8VJJh8pM4880x++ctfcuONN/KVr3wFRVF45JFHeO+99/jb3/7W574tLS20trb2aqutrQVA0zQ0TdvfboNqmmdGr+WtkVqmuKfisgzdhL2apqHrekF+/5FGxurQyHj131geq/Z0O7+r/Q3dma5c2yzfHK6e+HUwQDN6j8lYHqtDJWPVfzJW/TfUY3Wor3PYweRzzz2Xc889N7ecyWRYv359Lri8Zs0a3nzzTR5//HEgW89S1/XDfTkhhMhp6UzzxPJWjD3xQVWFMxcU4XZYZPK9McxuU5la1Tsw0NyVZmKZk1TGQKqfCCEGUiaT4cQTTzzg+pNPPpmnn356CHs0cG688Ua2b9/Oz3/+c2699VYA3G43jz/+OJdcckmf+955553ccsst+10XiUTo6uoa6O4elMW0UmQJ0alnS13UhbfTbmvDazuyDO5Does60Wj2tnKLRY5V+iJjdWhkvPpvrI5Vt9bF0uY/06V15tqmOqZxWfBzRMPR/e4zVsfqcMhY9Z+MVf8N9VhFIpFD2n7A7ge32WwsWLCABQsW8OUvfznX3tzczEcffcTatWsH6qWEEGNYV1Rj5cZuNu/Ozzx80uwAxX4bxQEbdptEDMeykM9Gsd9GezgDQGN7mtSeSfi8TqXAvRNCjCaLFy/mhRde4Fvf+tZ+1z///PO9Ei8Ol2EYpNPpfm3rcDhQlCP/rHM4HMyYMYPLLruMz3zmM+i6zt13382XvvQlXnrppT6D6Nddd90+NZpra2tZsmQJPp+PYDB4xP07HFPD03ivaxUATVoTNp+NoHPo+rI34ycQCGC1SkmuvshYHRoZr/4bi2PVnenigdqldPYIJE/zTOebU76NTbUdcL+xOFaHS8aq/2Ss+m+ox+pQS6QNeo/Ky8tZvHgxixcvHuyXEkKMchnNoLE9yTNvt+XaXA6VE2f5CXishHwHPiASY4PDrjKuxJ4LJte3pUhlzD3BZLn6LYQYOD/72c/43Oc+x2c+8xmuv/56pk2bBsCWLVv4wx/+QF1dHY899hgdHR299guFQof0Om+88QZnnXVWv7bdsGEDNTU1h/T8+/Ptb3+bd955hw8++CA3seDnPvc55syZw7/+67+ycuXKA+5bVlZGWVnZftdZrdaCnTzODNTkgslRPUJzpoVKT9WQ1k22WCwFHYORRMbq0Mh49d9YGqtwJswftv2OtnS+9NAUzzSum/4vOCyOPvbMGktjdaRkrPpPxqr/hnKsDvU1DqtHP/3pTw9nt33cdNNNA/I8QoixobU7w2urO2nuyuTazj6mCJfDQnHAhkOyksc8p12luszJmm0xIBtM1jWDeEoHJJgshBg4s2bNAmDt2rU89dRTvdbtrdM+e/bsffY71LJvNTU1LF26tF/bVlZWHtJz7086nebee+/lhhtuyAWSIXsX4vnnn88dd9xBOp3Gbrcf8WsNpRrfrF7L26NbmeWfNaR1k4UQYqhEtQi/3/wbmpNNubZJnsl8e/q/9iuQLIQQfTmsYHJ/D2j7oiiKBJOFEP0WTWjUtyZ55aOuXFtJwMbcSV6CHivFkpUsyE7CV12RDwxouklHTKMkaaDrMgmfEGLg3HTTTQNSUuJgKioquPrqqwf9dfZqb2/PTfrySZlMBsMwRuQ8KEX2EGWOclpSzQDsiteR0pMSTBZCjDoxLcbvN99OQ7Ih1zbRXc23p39XAslCiAFxWMHk7du3D3Q/hBDigHTDpKkzzYvvdxBN5E9gLzihGJtFodgvtZJFlt2qMrnCiUUF3ci2NXemqd4zCZ8QQgyUm2++udBdGBA7d+4kHo/nymOUlZURDAZ58skn+elPf5rLQI5Gozz99NPU1NTgco28AKyiKEzxTs0Fk+sT9ST0BEGKCtwzIYQYOPWJ3Szddg+NPQLJ413j+c7078rFMyHEgJEiJUKIYa89nGF7Y4KVG8K5tqlVLiaUOaRWsthHwGOjrMhOY3t2wqqGthTpqQaJtC6FLoQQY8att94KwLp16wB48MEHWb58OQA/+clPcttdddVVvP7667nSHBaLhR/84Af85Cc/4cQTT+Sqq65C13Xuvfdedu/ezUMPPTTEv8nAmeGr4Z32FQDE9Rj1id2UOyuGtG6yEEIMBsM0eL3lVf5e/ziaqeXaK51VfGfGv+G2egrYOyHEaCPBZCHEsJZI6bR0pnnp/Q4yPcoUXLiwGFVRKAlIVrLozWFTGF/iyAWTd7elyGjZSfg88q0nhBgjbrzxxl7L9913X+5xz2Dy/vzHf/wHkydP5re//S233HILqVSK+fPns2zZMj772c8OSn+HQo2vBgUFk+zxxPboNuYE5uKyuAvcMyGEOHzdmS4e3HE/G8LrerVXOcfxLzP+Da/VW6CeCSFGKzmtFkIMW6Zp0tKZYX1dlLXbY7n242f68LutBDxWiiQrWXyCw64ysczJu5siADR3pNF0k3jSwO2RuslCiLFhb6bxwbz22mv7bf/CF77AF77whQHsUeH5bQEqnBU0JhsB2JnYSVJPSTBZCDFiren6iIfrHiCqRXu1n1xyKpePvxK7ZWRNliqEGBkkmCyEGLa6ohotXWle7THpns2qcM6xIRQlOwGf3SpZyaI3p01lUo9J+EygrTtNkVftld0uhBBibMnWTZ6eCyY3xOtJagmwS91kIcTIkjZSPL5rGcvbXu/V7rX6+PzEL3FU0dEF6pkQYiyQYLIQYljKaAYd4TSrt0bZ0ZzMtS86ughFUQh6JStZ7J/NqjKh1IHDppDKZIPHTZ1pqsvtpDMSTBZCiLFspm8mb7W9AUDSSLAzUUeZqxyLIlX1hRAjw854HX/Zfi/NyaZe7TN9s7hq0tUE5QKZEGKQSUqfEGJY6opqtHVneG1NV67N77Zw6twgFhWK/XbJShYH5HVZqQw5cssNbWkyGZO0ZhSwV0KI0WTlypWF7oI4DDN8Nag9ToF2RLeT0lMF7JEQQvSPYRq81PQCv974i16BZJtiY8m4z3L9tH+RQLIQYkhIJEYIMeyE4xpdMY0PtkZpD2dy7ReeWEIybRDwWAn55MYKcWBOu8q4knwweWdrEt0wSWckmCyEGBgnnXQSM2bM4Gc/+xnbtm0rdHdEP/lsPqpc43LLO+N1pIxkH3sIIUThdaY7+f2W2/l7/ePopp5rr3RW8q8zvs85FYuxqHKHhRBiaEgwWQgxrGh6dtK99nCGN9eGc+3jShzMn+LJZSXbJCtZ9MFhU6gud+aWOyMaqYxBIm2gG1LqQghx5B566CGmT5/Oz372M6ZPn84pp5zCXXfdRUdHR6G7Jg5iqnda7nFjsoF4Jl7A3gghRN8+7Hyf/7f+FjZHNubaFBROLTmdf5v5QyZ7pxSwd0KIsUiiMUKIYaWtO01HJM27tWkS6XwW6ZJTSokmDIKSlSz6wWFTmVzp6tXW3J0ho0l2shBiYHzhC1/g2WefpaGhgd/+9reYpsl1111HVVUVS5YsYdmyZaTT6UJ3U+zHDF9N7nHKSFEX39Er008IIYaDpJ7koR33c8+2PxHX8xe9fFY/V0++hs9N/Dxuq7uAPRRCjFUSTBZCDBuxpE5LV4a2cIb3tuTrF86d5GFimQOrCsUByUoWB2ezqlSE7Hhd+dv9mjsyaLpBMi3BZCHEwCkpKeHb3/42K1asYMuWLfzHf/wHGzdu5IorrqCiooJrr72W5cuXF7qboocZvpm9JtzbEdtOSpdSF0KI4WNHbDu/2PAz3m5/q1f7LN9svjfzBxwXOl4mDhVCFIxEZIQQw4JhmDR3pOiKZnhjTZi9lQhUFS45pZRwTCPgsVLklaxk0T9uu4XKkD23vLsthaabEkwWQgwal8uF2+3G6XRimiaKovDUU09xxhlncPzxx7N+/fpCd1EAbqubca7xueVdiZ0kpW6yEGIYMEyD5xuf5b83/pLWVGuu3a7aubhqCddM/SblzooC9lAIISSYLIQYJtoj2Yzk5s406+ryt3GdOjeI323BalEokaxkcQgcdpUJpflJ+Ha1pDBNk3hKgslCiIETiURYunQpn/rUp6iurubHP/4xkyZNYtmyZTQ1NdHQ0MBjjz1GS0sLX/3qVwvdXbHHNO/03OPGhNRNFkIUXnuqnf/ZdBtPNzyFQf54tdJZxTenfodPVZyL0+Ls4xmEEGJoSIqfEKLgkmmDls40ybTBC+/lJy5y2VXOP76YcEyjOGCjyGcrYC/FSOO0q0zsMQlfPGUQTZkk0gZpzcAuFyaEEEfgqaee4uGHH+aZZ54hmUxy/PHHc/vtt3PllVdSXFzca9vLLruMzs5Orr/++gL1VnzSTH8Nr7T8E4CMmWF7bBuV7kosipweCSGG3nsdq/hr3UO97pJQUDip+BTOr/w0RfYiFEUpYA+FECJPjpaEEAVlmibNnSk6IhpbGxPUt+VrJS8+rghFBZtVocRvx2qRAyjRfw6byuSK3pPwtXQZVJUapNISTBZCHJlLL72UCRMm8L3vfY+rrrqKmTNn9rn9ggUL+OIXvzhEvRMHM80zA5tiI2NmAKiLb+dY/TjcVjk9EkIMnYQe59Gdj/Bex6pe7X6rn0vGfYYFRUfjsrgOsLcQQhSGHC0JIQqqK6rR1p1BUUyeX9Weay/2qZw6N0BHVKM0YJesZHHIrBaFkN9GyGelI6IB0NipM0vLTsLnk8mvhRBH4JVXXuHMM8/s9/YnnHACJ5xwwuB1SBwSp9XJePdEtse2ArAznq2b7MZT4J4JIcaKrdFalm6/h850R6/2Wf7ZXFJ1KZWucVhVCdkIIYYf+WQSQhRMWjNo7kwTS+l8sDlCOK7n1p1/rCdXiqA4YJOsZHFY3A4LVcWOXDC5oV1Dl0n4hBAD4FACyWJ4muadngsmNyebiGVihOzFB9lLCCGOjG5qPNvwNC82PY+JmWu3qw7OKV/MySWnELAFpayFEGLYknt8hRAF09qVoT2SQUHhlY86c+1TK53MnmAnEtcIeKwUeSUrWRwep01lfI9J+Oo7NBQFogkNwzD72FMIIfqmqioWi6XPH4/Hw8yZM/nmN7/J1q1bC91l8Qk1/lm5x5qpsS22Fd3UCtgjIcRo15pq4dcbf8kLTf/XK5Bc5RzH1ydfw5lliwhKfWQhxDAnmclCiIKIxDVau9JYVIUX320no+UPppacUkIqE8dmVSmRrGRxBBx2leoek/BpOnTGdPwek7Rm4LRbCtg7IcRIdtNNN/HUU0+xbt06zj//fKZNmwbAli1beP7555k3bx6LFi2itraWpUuX8te//pU33niDBQsWFLjnYq8p3inYVTtpIw3Ajth2jgudgEfqJgshBphpmrzdvpz/3fVY7jMHQEXlxOKTOKvsU5Q5y6WshRBiRJBPKjEgMppBY0easqBNgjPioHTdpKkjTTiukcwYrNoUzq07Yaaf8SV2GpoiVJRJVrI4Mk6bSnWZE1WBvYnIzZ1pKkJOkmkJJgshDl9VVRVtbW1s3LiRKVOm9FpXW1vLmWeeyezZs7ntttvYsmULJ510Ej/+8Y959tlnC9Rj8Ul21cFE9yRqo5sB2BXfSVJP4rFK3WQhxMCJazEe3PEX1nSv7tUesAW5sPLTzA7MJWiTbGQhxMghZS7EgIgkdNq6M7SH5dZAcXBt4TQdkTQ+t4V/rGjLtdusCheeVEw8bWC1KRQHrFgkK1kcAYtFIeCxUlZkz7U1tKVJZ0wSUjdZCHEEbrvtNq6//vp9AskA06ZN4/rrr+e//uu/AJg+fTrf/OY3WbFixVB3UxzEdN/03OOWVDORTLiPrYUQ4tBsDK/nZ+v+c59A8iz/bL466RqOLjqWIntIAslCiBFFgsliQMSTOpG4RkckQyojARpxYPGUTnNnBs2ArQ0JtjYkcuvOPrqIoMdKNKbhdVoIeiQrWRw5555J+Pba2ZIC0ySR1PvYSwgh+rZ7926sfZRDsFqt7Nq1K7c8adIkUqnUUHRNHIKZvnzdZN3U2RbbimZIcoQQ4shohsb/7nyU32+5nbCWv0jlVJ2cX/lpPjPuciZ5J+OWOyGEECOQBJPFEdMNk7buNGndIBLX6IpmCt0lMUwZhklTR4ruaAaf28JTPbKS/W4LZx8dIp4ysNlVAh6bZCWLAeG0q0wozWcmN3Vm69TFUwaaLpPwCSEOz5w5c/jjH/9Ic3PzPuuampr44x//yJw5c3Jt27Zto6KiYii7KPphkmcyTjVfW78utoOkkSxgj4QQI11Dop5fbLiV11pf6dU+zjWeL1VfzUnFp1DhqsSmSuKMEGJkkprJ4oitr4vx04d2ks4YfOa0Moq8Vor9dpk0TeyjI5KhPZzB7bLwzvowbd35Cw+fPrEEu02hozNDmd+G1yVZo2JgOGwq1eWu3LJpQms4g9tpIZnW8brkq1AIceh+/etf5ybeW7JkSW4CvtraWv7+97+TyWS47777AEgmk/zlL3/h/PPPL2SXxX7YVBuTPJPZGNkAZOsmp/QkXqu3wD0TQow0pmnySss/+Uf9k2hm/g4Hi2Lh+KKFnFJyGmWucvl8EUKMeHIGLY7Y48vbSO6pPfrPDzqYVe2mO6ZR7JcrrSIvlTFo6UqTSht4XBaef7c9t25ciYMTavzEkwZOm0rIb0XV5WKEGBhOm8r4Egd2q0Jay2YiN3akqAzZSaYNvK6DPIEQQuzHmWeeyYoVK/jP//xPnnjiCRKJbNkmp9PJpz71KW6++WaOOeaYXFtDQ0Mhuyv6MM07IxdMbk210J3ppthRUuBeCSFGku5MF/dvX8qmPZ8le4XsIT5Vvpjp3hmUOsskG1kIMSpIMFkcEU03+Xh7LLfcFdVYszVKqd9OkdeKqkpAsL9iSR3DMPG5R9+/pWmatHSm6QhrFPlsPP12G4lUvrb2paeWoigQTmhUFDkIeKxEZP4bMUAsFgWPy0JFyJ6tlwzUt6aYV+3NXQgTQojDcfTRR/OPf/wDwzBoaWkBoKysDFWVSnIjSU1gFs80PgWAgcG26FYmuCdK0EcI0S8fdL7Po3UPEdNjvdrn+OdyRukiyl0VhOwhVEW+G4QQo4N8mokj8nFdklSmd83R9zZH6I5liCSkTEF/6brJrpYkW+rj7GxOjLoAV3dMp7U7jd2u0BnVePPjrty6uZM9zBjvJpY0cNpVSvw2LHIRQgwwl8NCZShfN3lnSwqLRSGa0DFNqZsshDg08XicY489lrvuugsAVVWpqKigoqJCAskj0ERXNW5LfhKsHbFtpKRushDiIBJagge2L+XebX/qFUh2W9wsLj+f8yovpNpbTYmjRALJQohRRT7RxBH5oDaxT1t9W4qNu+J0RWQivv7qiml0xzUSaYOdLSm2NsRp7UqjGyM/yJXRDJo7U0QTOgGPladWtGLsiZWrKlxycimmaRKJaxR5bAS8oy8zWxSew6YyodSRW24PZ8joBqmMkSt9IYQQ/eV2u9m+fTuKIhc/RwOLamGSZ3JueXdiN0k9VcAeCSGGu9rIFn6x4VZWdrzdq73aPYnLJ1zJMaHjGO8ej9fqK1APhRBi8IyoYHIqleKHP/whVVVVuFwuFi5cyEsvvXTQ/Z588kkWL15MVVUVDoeD8ePHc9lll/Hxxx8PQa9Ht7V1+z/Qfm9zhK6YRiwp2ckHoxsm7eEMqYxBacBGkd9KZ1RjW2OC7Y0JInHt4E8yjLV2ZyfdC3qt1NYnepVFOW1ukPIiezYr2aFSHJCsZDE4nHaV6nJnr7bmzjQpzRh1dwIIIYbGeeedxwsvvFDobogBMt03I/e4LdVKZ6qjgL0RQgxnLzU9z++2/Ia2dGuuzapYOaX4VC6qWsIU71SqXOOwq44+nkUIIUauERVMvvrqq/nNb37DF7/4RX77299isVi44IILWL58eZ/7rV27lqKiIv71X/+VO++8k29961t8+OGHnHDCCaxevXqIej/67GxO0hbOB4vLi/K3kG/aFWd7U5Ku6MgOhA6F7phGVyyDz2VFURTsVpXyIjsOm0pDe4rahgS7W5OkMyMv4BVNaLR2pVGUbGbok8vzB1wuh8p5xxf3zkr2SFayGBwOm0pZwIrHkb9Y0dieJpMxSablopcQ4tDdeOONbN68mS9/+cssX76c+vp6Ojo69vkRI0ONf1busYnJtthWMobcZSeE6O2Zhqf4e/0T6Gb++LHUUcbFVZ9hYckpjHePp8RRKmUthBCj2oiJ3KxatYpHH32U2267jR/84AcAXHXVVcydO5cbbriBFStWHHDfm266aZ+2a665hvHjx/PHP/4xV+9OHJq3N+RnSFMV+OxppfzpmXr0PTHP9zZ1M63KRWnAht0mX6b7YxgmHZEMyZRBMNT739HjsuB0qHTHNOqak4TjGmVBOyGfbURMbKgbJk2dabpj2X6v2himvi2fyX7e8cV4XBYiCQ2XZCWLQWZRFTxOCxVBC1ubsxe5drWmOGa62WsySCGE6K85c+YAsH79eh555JEDbqfrcsFqJBjnzN6OHtUiANTFt5MykjIJnxAi58XG/+P/Gp/t1bYgcDTHFy+k1FFKqaMMh0WykYUQo9+ICSYvW7YMi8XCtddem2tzOp18/etf58c//jG7du1iwoQJ/X6+srIy3G43XV1dg9DbseG9zZHc44nlTqZWuZg7ycvqbVEAVm+LccaCFKVBe6+sZZEXjut0RzS8Lst+6y5aVIWQz0YqY9ARzhBN6HTHNMqL7Hhdw/vftz2cob07g89tRdNNnnmnLbeuNGDjtHlBTNMkGtepDDkISlayGGROh0pFyJoLJtc1J7FZFWJJHd0w5WKGEOKQ3HTTTVIzeRSxqBameKawpjt71+Lu+C6SekrqnQohAHit+RWeangyt2xRLCwqP4eZ3hqKHSUUO4qxKJYC9lAIIYbOiInefPjhh8yYMQO/39+r/YQTTgDgo48+Omgwuauri0wmQ1NTE7fffjvhcJizzz77oK/d0tJCa2trr7ba2loANE1D08ZeKYdIXGPz7vzke1MrHTisJmcu8OeCyZpu8u6mbsaFbATdChbL2D3h0jQNXdd7vVdM06StM0k0kaasyI7RR+aSTYUSv4VoUmd3S5xwLE2J30ZxwIbdOvyyvhMpnab2JJmMRtBj5/9WtROO53+/i04MoWIQjms4bVDkVTAMPTcx3/7GS+yfjFX/WVWDcaH851AsqRONp7FZIBZP43bKCcBe8r7qPxmr/hvqsRrs17n55psH9fnF0Jvum5ELJren2+lItVPiKClwr4QQhfZW25v87+5Hc8sqKovKPsW8wHxKHWX4bf4+9hZCiNFnxASTGxsbqays3Kd9b1tDQ8NBn+PEE09k06ZNAHi9Xn7yk5/w9a9//aD73Xnnndxyyy37XReJRMZkdvNb66IYZn55RrmBxYgzsUhncpmV7S3ZE7gPNkc4abqCU3XhH8OZp7quE41mg+wWSzZgFUvotLQnsZqQiCXoihoEvSpqH1lOVsBnM4mEdbq6oNVtIei14XVZhk3pC9M0ae5M09aVxu+20tQS5ZWPOnPrJ5dbmVamEYt10R3WKAnYMNIaXV35/u9vvMT+yVj1XyqRptLfu/7l7uYwDsVKW3tyTH9GfZK8r/pPxqr/hnqsIpHIwTcaAKlUig8++ICWlhZOOeUUSkok+DhS1fjnAP+bW94a3cJk7xQpdSHEGLaqfSV/rXsot6ygcEbpWSwIHk2lqwqnxdnH3kIIMTqNmDPnRCKBw7Fv/SGn05lbfzBLly4lHA6zbds2li5dSiKRQNd1VLXvzM7rrruOyy+/vFdbbW0tS5YswefzEQwG+/+LjBJrduXrJYd8ViaPL6GizE0yrXPGUQrbX2wGIJYyWbtTZVyFh0DAOWZvB92bHRUIBLBas/923akEGcVCsc/GXc82srUxSXmRjc+fWcakir4PSjw+SGYMuiMZtLgFw2KlLGgfFpmVnZEMCT2J1+/G57by1LvNZHokXX/mtArcXgeRhIbPD+MqnAS9vU/S9jdeYv9krPrP5c5Q1JmmyBuhM5p9U7ZELEwZ58XmdBEMSo27veR91X8yVv031GPl8w1+eYLf/e533HzzzXR3dwPw0ksvsWjRItra2qipqeFXv/oVX/va1wa9H2JgVDorCdiCdGe6ANgR30FSl7rJQoxVH3Z+wIM7lmKSz6I6teR0jgkdR4WrUgLJQogxa8Sc9bhcLlKp1D7tyWQyt/5gTjrppNzjK6+8klmzsrM2//rXv+5zv7KyMsrKyva7zmq1jrmTR90wWb01llueWukk6HPgdNhw2K0cN9PPc6s6aOnKZgC+tyXKSXODJNLKmM78s1gsufdLNKERToDbaeP9rTG2Nmbfx82dGX7793rOOqqICxYW91nCwm2x4HJYicR1Gjs04mmF0iCUBuxYC1RSJJ0xaAvrJDNQHrKzqyXFe5ujufUnzPRTXeHGME3iKagqcRDyO/ebVd1zvETfZKz6z+O0URmy0xnNXoDc1ZrmlLlWkhlFxu8T5H3VfzJW/TeUYzXYr7F06VK++93vcuWVV3Luuef2ChqXlJSwaNEiHn30UQkmjyCKojDZM4WPuj4AoD6+i5SRxIfUTRZirFnXvZal2/+MQX6i5pOLT+X44hOpdFXishw8/iCEEKPV8Cu2egCVlZU0Njbu0763raqq6pCer6ioiEWLFvHwww8PSP/GkvV1MWLJfKppzUQ3nj0ZsYqiUOx3cNq8YG59a3eGtduidEYzn3yqMasjnCES13DZVV54t6PXOtOEVz7s5FeP1rGtse+Me0XJBuhLgnaiSY3tjQlq6+N0RjKYptnnvoOhpStNR0SjyJfN4HnyrXytcZtV4cKTigGIJnQ8DgslftuwKc8hxga7VaGqOJ+BvKsliUWFRNogrRl97CmEEL3993//N5dccgmPPPIIF1100T7rjz32WNatW1eAnsHLL7/M1772NWbMmIHb7WbKlClcc801+z2WPpD6+no+97nPEQwG8fv9XHLJJWzbtm0Qez08zPDNzD3uzHTSmmztY2shxGi0KbyRP2+9C93Mn/OeEDqRE0tOptJZgcviLmDvhBCi8EZMMPmoo45i8+bNhMPhXu0rV67MrT9UiUQid1ui6L8VH3flHjusMGO8C48rX17B77Zwypwg3h5t722O0BXViKcOPMncWBFL6nRGNRx2lZUbI3RG8xME9awC0tKV4beP7+LJ5a2kM30HuawWhdKAHa/LQkt3mm2NCXY2J0kM4Xh3xzRauzNYrQoOu8qabVG2NuSD4WcfXUSR14ZhmkTjOgGfFb9bsvjE0LLbVCaU5YPJac2kO6aRzhik0hJMFkL0X21tLeeff/4B14dCIdrb24ewR3k//OEPee2117j00kv53e9+x5VXXsnf/vY3jj76aJqamg66fzQa5ayzzuL111/nxz/+MbfccgsffvghZ5xxRsF+p6Eyyz+n1/LW6BbSRrpAvRFCDLWt0Vr+tPUPZMx8ItSxRcdxcsmpVDgrcVs9BeydEEIMDyMmmHzZZZeh6zp33313ri2VSrF06VIWLlzIhAkTANi5cycbN27stW9LS8s+z7djxw5efvlljjvuuMHt+Cj03ub8hDaTym0E3VYctvxbSVUVyorsnDgrP6vt9qYkW3bH6YrIbPedkQzhuI7TrvLie/kTsnElDv79ymqqy/O1t0zg1Y86+eWjdb0CswficlgoL7JjmrCzNUltQ4LmzhS6PrhZypqenXQvEtcIeqxkdIOnVrTl1vvdFs4+OgRks5K9TgslfrtkJYshZ7MoTChz0POt19iRJqUZJCWYLIQ4BMFgkLa2tgOuX79+PRUVFUPYo7zf/OY31NbW8stf/pJrrrmG//f//h/PPPMMzc3N3HHHHQfd/84772TLli0888wz3HDDDXzve9/jxRdfpLGxkf/+7/8egt+gcEodpYTsodxyXXwHKT1ZwB4JIYZKXWwHd275HSkjX15zQfAoTis9k0pXJR4JJAshBDCCgskLFy7k8ssv50c/+hE33HADd999N4sWLWLHjh386le/ym131VVX5Woh7zVv3jy+8IUv8Ktf/Yo///nP3HDDDRx77LFkMhl+8YtfDPWvMqI1daTY3Zb/cp1WacPr3nfSt6DHyqKjirBb8xGblZvCdEYzY/pW8mRapyOiYbMqvLM+TDiezxy+YGExlcUOvvvZCVxyckmvuset3Rl+98Qunniz5aBZyqqiEPBaKQ7YCMezpS+2Niboig5eIL+tO017OE3Aa0VVFd5c001bd/5q/qdPLMFhVzFMk1hCJ+izEvAUfrJAMfbYrCpep4WyoD3Xtrs1haaZJCSYLIQ4BBdccAF33303XV1d+6xbt24df/7zn7n44ouHvmPA6aefvs8E06effjqhUIgNGzYcdP9ly5Zx/PHHc/zxx+faampqOPvss/nb3/424P0dTrJ1k6fllnfHd5M0JJgsxGjXkKjnji2/7fX/Psc/lzNLz6bCWYnXKrXThRBirxF1j/kDDzzAjTfeyIMPPkhnZyfz58/nmWee4fTTT+9zv29961s8++yzPP/880QiEcrKyjj33HP58Y9/zLx584ao96PDinX5siAKMGuCPVcvuSeLRWFcqZOjp3lZuTGbybx+R4xdrUlKg/ZegZyxpDOqEYlruJ0q//wgXyt5YpmDuZOyV7otqsLZx4SYM8nDwy83U9ecPaAxgddWd7FuR4wvnF3O1Kq+a3XZLCplQTvxpE5TR4poQqPEb6OsyIHTPnDXkWJJnZauDCbgdliIJnReeLd3xvUJNdks9Whcx+O0UOy3oyiSlSyGnqoqeBwqFSE7TZ3Z25brmpPYjlaIJTQMw5SMeSFEv9x6660sXLiQuXPnctFFF6EoCvfffz/33Xcfjz/+OJWVldx0002F7mZONBolGo1SUlLS53aGYbBmzZr9Thx4wgkn8OKLLxKJRPD59h9YaWlpobW1d53h2tpaADRNQ9OG/11q093TeL9zFQBhrZuGWANFltBB9uqbpmnouj4ifv9Ck7E6NDJe/XegsWpJNvO7rb8hrucnmZ/hreGs4k9RaivDpbjG3PjK+6r/ZKz6T8aq/4Z6rA71dUZUMNnpdHLbbbdx2223HXCb1157bZ+2m2++mZtvvnnwOjaGrNqUr1k9rsROyGc9YGAy6LWy6OgQqzZFME0wTFi5IcykchfFfhuWMRawSWsGnTENRYUV68JEEz2zkkv2Ca5WhBx877MTePWjTp5b2U5mT6mKbJbybk6fH+TTJ5X0KjGyP26nBaddpTuusbMlRSShUxa0ExqAv4FhmDR3pOiKZijdc4Hg+Xfbe2V4XnpqKaqqYBgmsaTO+BKHZCWLgnI6VMaVOPhoaxSAxvYUqgKpjEkqY+ByyPtTCHFwVVVVvP/++/z4xz/msccewzRNHnzwQXw+H5///Of5xS9+cdDA7VC6/fbbSafTXHHFFX1u19HRQSqVorKycp91e9saGhqYOXPmPushWyLjlltu2e+6SCSy30zu4abSHNdreVPrRsq0Mmzq4SdD6LpONJr93rFY5HumLzJWh0bGq//2N1admQ7ua76biJ4v5TjZPoXTHGfgSrvRDZ0uugrR3YKS91X/yVj1n4xV/w31WEUikYNv1MOICiaLwkqmddbtyF+tnVblwuNQD5hhareqTB/vpmaCmw074wB8WBvlrKOLKCuyE/LZhqTfw0U0rhGOW3DYrbzyYT4reUqlk1kT959lrO7JUp472cvDLzexoymfpfz6mi4+3pOlPH1c31nKqqpQ5LVlA9oRjWhCpzumUV5kx3cEk+C1RzK0hTN4XRasFoXmzjTL13bl1s+d7GHG+GzfIok9WckByUoWheWwqUwsy9cmN8zsRZqyIoVkWoLJQoj+Kysr45577uGee+6htbUVwzAoLS3dp8TEkTAMg3S6fxPAORyO/X7HvvHGG9xyyy187nOfY9GiRX0+RyKRyD3XJzmdzl7b7M91113H5Zdf3quttraWJUuW4PP5CAaDB/s1Ci5IkJK2UtrS2QzrRhpw+lz4bId/m/vejJ9AIIDVKqdgfZGxOjQyXv33ybHqSnfxQO19hPV8wtQk12TOq7iQSmclAXuwQD0tPHlf9Z+MVf/JWPXfUI/Vge44OxD564l++2BLBK3HRG5zJrlxHiRBo2hPdvLeYHIqY7BqQ5iqYgdFXuuYCSqmNYPuPfWR314fJp7KZ+7uLyv5k8qL7Hz3MxN4bXUXz77TlstSbg9n+P2Tuzl9XpCLTsrWJe6L3apSXmQnltBpaM9mKZcGbJQF7dgPkuH8Scm0QUtnmrRmEvRmP0qeeqsVY89bRFVhycmlQDaDOZ7UGV/qwL+fGttCDCWHLZuZbLMqZLTsG7ahPUXQayN5kJrkQghxIKWlpYPyvG+88QZnnXVWv7bdsGEDNTU1vdo2btzIpZdeyty5c7nnnnsO+hwulwvITnT9Sclkstc2+1NWVkZZWdl+11mt1hFz8jjVO422jmwwuSFZT0bJHHHfLRbLiBqDQpKxOjQyXv23d6wSZoI7tt1ORyaf5DPBPZELqj5NlWs8RfaiAvZyeJD3Vf/JWPWfjFX/DeVYHepryF9P9FvPeskBj4XqMgcOe6aPPcBpt3DUVC/jSx3sbs2elLy/JcIZC4JEg0eWFTuSdMc04kkdu0vh1Y86c+3Tx7lymbuGmQ1qqQcILKuqwqKji5g7ycMjrzSxrTE/OcQba7tYVxfjC4vKmT6+7yxlAI/LgtOh0h3TqGtOEo5r2dIXPlu/6sWapklzZ4qOiEbIn70osGlXnI97ZK6fNi9IWVH2asPerOQSqZUshgG7VcXlUKkM2dnZkv1c2tWSYna1h0RSP8jeQgixr2g0SmdnJ6Zp7rNu4sSJR/TcNTU1LF26tF/bfrI0xa5duzj33HMJBAI899xz/co6CYVCOBwOGhsb91m3t62qqqpf/RnJZvhmsrLjbQCiWoTGRD2ljlI5jhFiFIhpMX6/9X9oTbXk2sa5xnNhxcVUuqokkCyEEAcxNiJ54oiZpsn7W/I1VKZWufB7rFjUgxfpLvLZOHN+EQ+93ARAV1Tjg80RKoocYyKYrOkmHd0ZDDNbKznZo57whSdmaymapklLVxrTyNaa7us2+7IiO/9y6QReX9PFM++05TIr28MZfv/33Zw6L8AlJ5UeNEvZoiqEfDZSGYOOcKZX6Quvq++/S1dUo607g9OuYLeqGIbJ39/KT7bjdqicd3wx0Dsr2SdZyWIYUFUFj9NKRciRCybvbElit6rEUgaabmK1SLBACNG3ZDLJLbfcwr333kt7e/sBt9P1I7tIVVFRwdVXX33I+7W3t3PuueeSSqV4+eWX91sDeX9UVWXevHm89957+6xbuXIlU6ZMOeRbIUeiWf45vZa3RbcyKzAbu7Jv+Q8hxMiR1JPcvfWPNCYbcm0VzkourLyYKvc4QvbiAvZOCCFGhtEfyRMDYmtDnK5oPnA8a6IHr8uC2XdiMgAep4WTZvt5dmUbnXueY9WmMAtn+SkJ2EZ9fdLOaIZwQsMw4Y21+ezuWRPdTKnM3iYaTeg4bSo+l5X2cIZk2iDgtfaZpXzWUUXMmeThkZeb2daYr124fG0363fE+MLZFbms5744bCplRXaiSZ36thTRhE5pwE5J0Ibdum9AOq0ZNHemiaV0yvdkHq/cGKa+LX877OLji/E4s3/XSFzH65KsZDG8OO0q44rzAYHW7gyaYZLOGCTT+kEvqAghxHXXXcf999/PkiVLOO200ygqGj6ZbLFYjAsuuID6+npeffVVpk+ffsBtd+7cSTwe71Ue47LLLuPf//3fee+99zjuuOMA2LRpE6+88go/+MEPBr3/w0HAHqDcUUFzKpsMUZeoI6mnsKsSTBZipEobaR5s+Qv16V25tlJHGRdVXcw493hC9lABeyeEECOHnC2LfnmrR4kLq0VhdrUHl8NCvB/BZICSgJ1T5wZ4+p1s5k5De5r1dXHKihyjOpis6ybt3RkymsnKTSnSWv721wsWZrOSDcMkmtCpKnEwsdSJ12WhuTNNS2eaYr8N234CunuVBe38y2fG8+aaLv7xdj5LuSOiccffd3Pq3AAXn1yK8yBZyoqi4HNZcdstdMU0tjcncqUvgl5rr9IXrV0Z2iMZirw2VEUhlTZ49p223PrSgI3T5gWzv79hEk/pTCh1SlayGFYcNpXq8t4BgebOFBVFDpJpA++By4EKIQQATzzxBNdccw1/+tOfCt2VfXzxi19k1apVfO1rX2PDhg1s2LAht87r9bJkyZLc8lVXXcXrr7/eq0THddddx5///GcuvPBCfvCDH2Cz2fjNb35DeXk53//+94fyVymoqd5puWByfXwXCS2B3+YvcK+EEIcjY2T407Y/sDu9M9dWbC/moqpLGOeeQLG9WBJfhBCinySYLPpl1cYeM9yWOyn2ZbNW4/3c3+e2cOZRRbz0QWeuzMPKjd0smOqlJLD/DNjRoDumEY5rGMDbm/LZw3Mne6guz86IHo5reF1WygLZSfDGlThwOyw0dqRo787gcVvw9ZElqSoKZywoYna1h0deaWZrQ48s5Y+7WV8X4/OLKpg54eBZyhaLQrHfRjJt0NqVJprQCfmtlBc58DgtROIarV1pLKqSC1D/88MOwvH8LbyXnFKaKxEQ3ZuVHLDJwZkYVpx2hfIiO26HmpsQs741RYnf3qsUjRBCHIiiKBxzzDGF7sZ+ffTRRwDcd9993Hfffb3WVVdX9wom74/P5+O1117je9/7HrfeeiuGYXDmmWfyP//zP4M20eBwNMNfw4r25QDE9Tj1yV2UOcvkmEaIEUY3Nf609U5qY1tybUFbEZ+uuoQJ7mpK7FIPXQghDsXojOCJAdUZyfSa7K1mghvvIdY6VhSFipCDE2ryNfa27E6woylBd/TgdZdHIsMwsyUrMgZvfRxG61Ey8cI9WcmabpJMGxT7rbnMXUVRCPltTKl0Ma7EQSZj0NqdRjf2ndSnp9Kgne9cOp7LTi/Fbs0fDHVENP7w1G4ee7WZRLp/dRuddpXykB1FyQbYtjYkaOxI0dSRJhzXCHqzf//OSIZXPsxPKDitysW8yR4gn5Uc8tnwuiQrWQwvDpuKw6ZS1aPUxc6WFBZVIZrQ9zuJlhBC9HTJJZfwz3/+s9Dd2K8dO3ZgmuZ+f3bs2NFr29dee22/n3njx4/nf//3f+nu7iYSifD0008zbdq0IfoNhodZvlko5I+ptkW3kTbSBeyREOJQGabBPVvvZkN4Xa7Nb/VzUdUlTPJMpsRRIoFkIYQ4RBJMFgf1zobuXsvzpnjxOA/9rRPwWPnUMSEse3Y1yZbP6IxqBw2UjkTdMY2uWAZNN3l7fT6z+6hpXsaVOHLb+N1WSoP71hN2OSxUV7ioLnfhcVho6UwfNGNSVRROn1/Ev3++mmnjet+n/9a6bn7x1zo27oz1q/+KouD3WCkJ2okmNbY3JmjtTu+ZeDHb154TACrApafmr+pH9mRcF/slK1kMP4qi4HFZqQjZc211LUnsVoVUxiCVGX2fSUKIgXXjjTeybds2rr32Wt5//31aW1vp6OjY50eMXF6bj0pnVW55Z2wHSSPZxx5CiOHEMA3+sv0e1nR/lGvzqB4urLiYyd4plDhKURUJiQghxKGSMhfioN7pEQgtL7JTVeLAabegaYeWUWxRFSZVuJg/xcuHtVEA1m6P0dCepDRgo8hnG9B+F5JpmrRHMiRSBsvXdqHviQErwPknZGcITmUMdN2kNGDHfYC60RY1m9HtdlhoaE/tmZxPIeCx9hmgLQnY+faS8bz1cTdPrWglvScw1hnRuPMf9Zw8O8Alp5T0q1611aJQGrCTSOtoupmbWG9nc5J3N0Vy2x1f42dCWbZ0h26YJFIG1WV2yUoWw5bDpjK+JJ+ZHInrxNM6pgLJtHHQWuNCiLFt76R2H374Iffee+8Bt9P1/t0VJIanqd5pNCTrAahP7CapJQjYAgXulRDiYEzT5JG6B3i/871cm9vi5hzf+UxyT6HUUSaBZCGEOEwSTBZ9SmsGq7dFc8vTx7v6rN97MEGPlU8dU5QLJmu6yVsfdzOx1EnQ23eAdCQJx3W6oxqpjMHKHvWmj5nupTKUDV51RTWKvFZKAgcPovs9VpwOFbdDpaUrQ0tXhpDfis1y4AMgVVE4bV4wW0v55Sa21OdrKa9Y3836nTE+f1Y5s6o9/fqdXPZ8UNg0TZ58qzW3bLMqfPrE4h6/v4bPbSUktZLFMOa0q0yscPZqa+xIM6HESSqjI1+RQoi+3HTTTfIdNwbM9M/izbbXAUgaSXbGd1LmLJe/vRDDmGma/G3Xo7zdviLX5lRdnF/+acbp4ylzSiBZCCGOhJwpiz6t3RYllcmXVpg7yXNEmaY2q8qcSV6mVrlyE8V9WBvlU8eEKC2yH1GgergwTZP2cJpoUufNtV0Ye4ZPVeC844oAiKd0rGq2zrHd1r8DGbtVZUKZE7fTQlNHmrauDH63Fc9B/h7FfhvXLxnPinXdPPVWa+72/a6oxh+frufE2X4uPaW0X1nKe63ZFu010d/ZRxcR9GaD4rpukkoZlJeNjr+nGL0cNpWQ10aR10rnntrtu1tTVBU7SKRkEj4hRN9uvvnmQndBDIEafw0qKgbZ74VtsVrmBefjtDgPsqcQolCeqn+CN1pfzS07VAfnV17IdM8M7EmHBJKFEOIIyaeo6NPb6/P1kj1Olenj3LiO8NbvoNfGoqOKcsuxpM6qjd2jZiK+aEKnK6oRT+q8tzlfBuKYqQ5Kg3ZM06Q7phH02ggdYmkPRVEoCdiZUuWiqsRBIq3THs5gHKTmtKoonDo3yL9/fhIzxrt7rXtnfZj/90gd6+v6V0s5oxs8taItt+x3Wzj7mFBuOZzQ8LqtFPcj41qIQnLYFOw2hcriHnWTm5PYrSqxpD4qa7kLIY7MqlWr+l0Hefv27TzwwAOD3CMx2FwWN+Nc43PLu+I7SUndZCGGrWcbnual5hdyyzbFxuKKC5jln02ZswyLIiX4hBDiSEkwWRyQaZq8uylfomFqpZug14aqHtltfQ6bygk1fsqC+WDjqk0R2sIZkumRX1ewI5whmtBZ/nEXeydHt6iwaH42iBtN6LjsKmVBO1bL4Y2l22Fhcnl2cj6nTaW5M90rg/xAiv02rr9kHFecWYbDln/t7pjGXU/X8/DLTcRTff8N3lzTTVt3Jrd80UklOPZkV+/NSg75rHglK1kMc4qi4HVaKS/K103e1ZLEqmZrmh9swkshxNhz0kkn8fzzz+eWOzo6cLvdvP766/tsu2LFCr761a8OZffEIJnqm5Z7XJ+oJ6El+thaCFEoLzW9wHONT+eWrYqVcyvOZ05gLuXOCiyKnJ8IIcRAkGCyOKDdrSlauvJBw9mTPHidA3MlN+S3ccaCfHZyW3eG1bWR3K3mI1UsqdMZ1eiOa3y4JV9remGNnyKvBcMwiSZ0Qj4bQe+RHcxYLApVxQ4mVbgoC9rpimh0xzRMs+9sSkVROGVukB99fhIzJ/TOUl65Icx/PbKDdTui+903mtB54d323PL4UgfH1/hzy3trJRf7JStZjAwOu8qE0nwwOZUx6YpppDMGKQkmCyE+4ZPfsaZpkkwmZZK9Ua7GNyv3OG2k2BHbftDjLSHE0Hq95TX+Xv94btmiWPhU+bnMDy6gwlmJVZVAshBCDBQJJosDWtGjxIWqZuslewYomOx2WDhjfrBX/eV3NobpjGTIaCM3gNMRzhBJaCxf08XeUwyrReHcY7OB8+6EhtdlpTRgP+IM772CXitTKl1MKHVgmCYtXRk0/eAnOCG/jesuHseVZ5XnMosBumM6f3qmgYf+2UQ82fvk+Pl320n0CLAtOaUUdc8ENLpukkwbFElWshhBHDaViWUOes6j1NieJq2Zvd7rQgghxq7pvpm9Mhq3x7aRMlIF7JEQoqe3297ib7seyS2rqCwq+xRHBY+h3FkhgWQhhBhgEkwWB7RyQz6YPLHUSXmRHcthlmXYn7KgnVPmBHLLO5qSbN4Voys2MrOT4ymdjkiG9u4Ma7bn6w+fMjdA0GtFM0zSaYNivxW/Z2APaOy27OR8k8tdBDxWWrvS+wSC90dRFE6eE+BHX6imZmLvLOVVG8P8v0d2sHZ7Nku5uTPN8rVdufXzJnt61V8OxzUCHislATtCjBROu4rXZe1VdmdnSxJVVfr1PySEEGL0c1qcTHBNyC3vjNeR1KVushDDwXsd7/JwXb4+vYLC6aVncUzRcVS4KrGpcsekEEIMNAkmi/2KJDQ27Yrnlmuq3bgHKCt5L6/LwqeOLsJmzQeol38cpjOiHXRCueGoM6IRjuu8+XFXrs1mVThnz+R0sYSO32OjNDg4wVZVVSgN2plS6aIy5CCW1OkIZzD6cRtmyGfjWxeN4/OLynH2mGAxHNf587MNPPhSI4+/2cLeP4uqwiUnl+a203STVMagyGsdsOx1IYaC3argsKlUhvKlLrKT8Ckk0gbpftQiF0IIMfpN9U3PPW5MNJDQ+zdxsRBi8Kzu/JD7t9+LSf5857SSMzih+AQJJAshxCCS+z3Efr23KUzPeO78yb4Bq5e8l6IojC9zcux0H+9syE70t2FnjF0tScqCNoLekfPln0wbtIczNHemWF+XD8KfPi+I32MlkcxgmFDss+J2DG6w1eO0MLnShdtpobkzTUtnmpDPht3W97UjRVE4aXaAmgluHn21mQ0787/Hu5sivbY9bV6QsqJ8UDwc1/C7rRRLVrIYYRRFweO0UBGyw9ZsW317ClWB9J5J+A72vyOEGFt27NjBBx98AEB3d/Yuri1bthAMBnttt3379qHumhhEs/yzeLn5RQAyZoZt0W2UOytRFfmOEKIQ1nev497td2OQv/B/cvEpLCw+iQpnFXZVzkuEEGKwSDBZ7Nfb68O5x8V+K5PKHYMSUPG7rSw+rpiVG8OYJhgmvLm2i8mVTgIeK4oycGU1BlNHJEMkrvFmjzIQDpvC2XuykrtjGl6XZcgmprNaFMaVOHA7VBo7UrSHNdxOFb/74P/yRT4b37xoHCs3hHlyees+dWPdDpXzji/OLWu6STpjUBVySFayGJGcdpXxPSbhMwxoC2v43BaSGQN/H/sKIcaeG2+8kRtvvLFX23XXXbfPdqZpjpjjGHFw07wzsCk2MmZ2curtsW0cGzoep8VZ4J4JMfZsiWzi7q13opv5kmQLQydycslpVLgqcVgcfewthBDiSEkwWexD100+2JLPRJ0xzo23H0HIw6GqCtPHu5k10Z3L6P1oa4TFncWUBe0jYiK3dMagI5xhV2uSzbsTufYzFxThdVmIJ3WsFgh6rEOe4Vjks+FyWHDZU7R2p2npSlPssx209rWiKJw4O8DMiW4ee7WF9XX5WzkXH1/cK2gcjmWzkkNDFCgXYqA5bCrjShxYLUpu8srdrUlmjHeTlEn4hBA9LF26tNBdEAViU21M9FSzNVoLwK74TpJ6UoLJQgyx7dFt/LH2jtyFHYBji47jtNIzqXRVyf+kEEIMgeEfqRNDbsOuGLEeE0/Nnewd8BIXPQU8Vs45NpQLJqcyJivWdTGh1DEigsmd0QzdsUyvrGSXXeWso4owTZPuuEapz4bfVZiglNOuUl3uzJe96EoT9Fpx9aPcRpHXxjc+XcW7myK8vb6biWVOzpgfzK3P6AZpzWRciU2yksWI5bCruOwWKovt7GpJAVDXkmT2JA+xRLaGu6pKdqEQAr7yla8UuguigKZ5p+eCyU3JRuJalKA9WNhOCTGG7Irt5I4tt5MyUrm2+YGjOKPsbCpclRJIFkKIISJFvsQ+3l7XnXvstKnMnujpNSnbQLNaFI6e5mdCj9vM390UobU7M+yzAjNatlbytsYk2xrzs3qfdXQRbqeFaELHbbdQEjx4NvBgUlWF8iI7kyudVIQcRBI6nZH+Tc6nKAon1Pj5189M4NJTS3sF1SIxHb/bIlnJYkTb3yR8O5uTOKwqyUx2ckkhhBBipn9W7rFmatRGt2KY8h0hxFBoSDTw+y3/Q9LIn3PN9s/l7PJzqHRW4rK4Ctg7IYQYWySYLPaxamO+XvKUKhdF/sGvXVzktbLo6KLccndM491NYbqimT72KrzOqEZ3NMPyj7tybR6nyhkLguiGSTShE/JZCQxSmZBD5XNZmVzhpLrMiUVVaOlMk9YO7yRob1Zysd826JMKCjGYFEXB67JQ0WNSyZauDLph5ibhE0IIIaZ4puJQ8xced8S29cqQFEIMjpZkM7/b/Btier703kxfDeeWn0eVqwq31V3A3gkhxNgjwWTRS3Nnit1t+YPi2dVu3ENQvsBuUzl1bpAibz7ounJDN+3hdK6G6XCj6SYd4QybdiXY2ZIfs7OPCeGyWwjHNbwuK6VB+7C6Rd5mzdaHnVzhIuSz0RHOEEloh/w8YclKFqOIw6Yyoaz3ZC1NnWlSGZOkZCYLIYQgWze52jMpt7wrXkdKTx54ByHEEetItfPbzf9NRMsnPE3zTue8igupdFfhtnoK2DshhBibJJgselm5If8lrSiwYIp3yLJOSwI2Tu9Rj7ehPc26HfFhm53cFc3QFc2wfF1Xrs3nsnDavCAZ3SCVNij2W/ENk6zknhRFIeS3MbXKxbgSB5mMSWtXGt3oX+A+oxtkJCtZjCJOu0p50I7Lkf9a3NWSRFFM4j1qyAshhBjbpntn5B43p5qJaJE+thZCHInudBe3b/41XZmuXNskzxQuqLyIKncVXqu3cJ0TQogxTILJope31+frJY8rcVBZnC2HMBScdgvnHBvqVZ95+bouOiPZCbCGE90w6YhofLw9Rn1bOtd+znEhHDaV7qhGwGOjNGjv41kKz2m3UF3uorrcicdpoaUzTSJ98MBZOKYT8FgplqxkMUo4bCp2m8q44h51k1uS2K0q8ZRB5jDLwQghhBhdavyzc491U6c2Uit1k4UYBFEtwu2bf017uj3XNsE9kYuqLqbKVYXX6itg74QQYmyTYLLISaR0Pt6Rr0NVM9GNZwhKXPRUXmTnxFn+3HLt7gTbGuKE48MrM7A7qtERTbO8x2SFAY+VU+YESGUMDDObaT0SsnYtqkJFyMGUShflRXYiMZ3OaAbzAJPzZTQDbU9WsmsE/H5C9IfdpuJyWKgI5S8A1TUncdjUbN1kKXUhhBACqHZP6jXRV7ZuspS6EGIgxTIxfrvpv2lJteTaqlzjuLjyUipd4/DZ/H3sLYQQYrBJMFnkfLQ12qs+8YLJXjzOoX2LeF1Wzju+GMuelzWB19d2DatSF4Zh0h7O8NGWKM2d+azkc48LYbOqdEU1irxWSkZY1q7PbWVypYsJpQ4sZCfn2182Zjiu4/dYKfYPv/IdQhwJt0PtNQlfd0wnkdJJySR8Qggh9rCoFiZ5JueWdyV2ktRlEj4hBsqO6HZu3/xrGpINubZyRwWXVH2GcZ5xBGyBAvZOCCEESDBZ9NCzxEXAY2H6eDc269C/RSZVuFgwNV//au32GPVtKWLDpG5pOK7REcnwVo+s5JDPykmzA8STOjYLlATs2G0j79/LblWZUOZkUqWLIp+N9u4MsUR+3HtmJTvtkpUsRheHfd9J+OrbU2i6SUqCyUIIIfaY1qNuckuymUimu4+thRD9sSu2i7tq/8CvN/2ChmR9rr3UUcqScZ9hvHs8AVuwcB0UQgiRM/KiXWJQGIbJu5vyk+/NHO/G5ypM5qnPZWHx8cW5ZU03eWNNF11RrSD96ck0s1nJ724K09adz5ZevCebujuuUeSzU+wbWVnJPSmKQrHfxuRKF1UlDpJpnbbuNIZh0h3TJCtZjFpOm0qxz07Qm39/72xJYbEoRBP6AUu/CCGEGFtm9aibbGKyJbpZ6iYLcZjq47u5e+ud/HLjraztXo1J/ngrZC/mkqrPMsEzkaC9qIC9FEII0ZMEkwUAWxsTvYK1cyZ5cQ9xveS9VFVh7iQv06ry9eje3xKmuTNFqsB1SyNxnfZwhhU9srhLAzZOqPETSei47RZKAjYslqGZtHAwuR0WJpW7mFjuwmW30NyZxjCgRLKSxSjlsKvYbCpVxZ+om2xVSWUMUhkJJgshhIAJrol4LJ7c8o7oDpK61E0W4lA0Jhr489Y/8l8bfsbqro96BZFVVGb5ZvOZcZcz0VNNkT1UwJ4KIYT4JEkvFAC80yM4arMoLJjiwWkv3LWGgMfKp44porYhAUAsafD2+m7GlTgoL3IcZO/BYZomHZEM72zopjOSD7yfd0I2izqW0Blf4iDoGT3/VhaLQlWxA4/TQmN7Ct0wCY2wWtBC9JfdquKyq1QUOVhfFwdgZ0sSq5Vc3eRCfi4KIYQYHlRVZbJnCh+H1wLZuskpI4kbd4F7JsTw15Ro5JnGf/BR5we9AsiQDSLX+GczNzCfCmcFJY4Sih3FB3gmIYQQhTJ6ol7iiKzcmC9xMbnSSZHf3sfWg8+iKpw0O8CTb7XS3JktJ/HO+jBnLghS7LdjLUDmbzSp09KVYUWPWsnlRXaOne6jO6bhc1spDdpR1ZGflfxJAY8Vl0NF000JpolRzeVQqQjlP/+SaYPumI5FUUhldORrUwghBMAM38xcMLkt1UpnqlOyJ4XoQ0uimacbn+LDzvf3G0Se6athfvBoKpwV+O1+/NYAbqtcoBFCiOFoREWFUqkUP/zhD6mqqsLlcrFw4UJeeumlg+73xBNPcMUVVzBlyhTcbjczZ87k+9//Pl1dXYPf6RGgI5xh654MYIDZ1V48BSpx0VORz8aio/K1sdrCGT6ojdIdK0zt5I5whrc+7qI7lp+Q7oKFxeimSSpjUuyz4nOP3kCT3aridhT+fSHEYHLaVcaXOuh5SWh3awrDNIkPk0lAhRBCFF5NYE7usYlJbWwzuinfE0J8Ukuyhfu2/Zmfrr+JDzrf26ecRY1vFldM/AKLKy9gVmAWEz3VVDgrJZAshBDD2IiKfF199dUsW7aM7373u0yfPp2//OUvXHDBBbz66quceuqpB9zv2muvpaqqii996UtMnDiRtWvXcscdd/Dcc8/xwQcf4HK5DrjvWNBz4j2Ao6d5cTsKf53BZlVZdHSIZ95pJ5LIHpy/9XE3J9YEKPJahzQDOJbUae1K83aPciBVxXYWTPXSEc4Q8GSzkoUQI5vDruJ3WSkN2mjpyt4VsbM5ydQqF/GUga6bo6ImuhBCiCNT5azCZ/UR0SJAtm5yqiQlATAh9mhNtfBsw9O81/EuJr3nvVFRme6bwbFFJ1DpqiRgC+K3+bGpUk5PCCFGghETTF61ahWPPvoot912Gz/4wQ8AuOqqq5g7dy433HADK1asOOC+y5Yt48wzz+zVduyxx/KVr3yFhx9+mGuuuWYwuz7s9QyQVoTsTChzoijDI1hSErBzytwgz7/bDmQnw9q0K0ZZkZ3AENYm7oxkeH1NVy6oDXDBwhIyGRPDhJKADZdk7Qox4jlteyfhc+SCyXUtSew2JVs3OWPgscj/uhBCjHWKojDFO43VXR8CsDuxS+omC0E2iPxcwzO827Fqv0Hkab4ZnBA6kSpXFQFbAJ/Nh0UZMWEJIYQQjKAyF8uWLcNisXDttdfm2pxOJ1//+td5++232bVr1wH3/WQgGeDSSy8FYMOGDQPe15EkrRl8tDWaW541wY1nGAVFnXaV808oxmbNB7dfW9NFVyQzZH1IpHQa2lOs6BF0n1jmYN5kD10xjSKvlRKZlE6IUcG2dxK+HnWTd7emsCgK6T2T8AkhhBAA070zco/b0220J9sL2BshCqs11cIDO5by049vYlXHO70CySoqM7wz+VL1V/js+MuZG5jLBPdEgvYiCSQLIcQINGI+uT/88ENmzJiB3+/v1X7CCScA8NFHHzFhwoR+P19TUxMAJSUlB922paWF1tbWXm21tbUAaJqGphWmhu9A+Kg2QiqT/6KfN9mNw2r263fSNA1d1wf9968IWjhuhpe312dvI9xQF2N7U4wir4p7CGo7t3WlePXDDuLJ/Didf3yIWCKDRTEIeVVUxUDTDhxkGqqxGi1kvPpPxqr/+jtWDptJRTD/9agbJs0dSZw2hVgiTcA9PO7cGEzyvuo/Gav+G+qxkr+JGGyzA3Ngd355S3Qzk31TsCjDJzFDiMHWlmrl/xqfZVX7Oxj7K2fhncFJJacw3jUBvz2A2+IeNnfBCiGEODwjJpjc2NhIZWXlPu172xoaGg7p+X75y19isVi47LLLDrrtnXfeyS233LLfdZFIZERP5Pfm6s7cY49DYWIoQyTS3cceebquE41ms5otg3zb9xmzbbyzHkzAMOGVD1qp8KUpCQxuneJ0xmB7Y4J3NubrSleXWpkQStHRESfkt6FoOl1d8T6fZyjHajSQ8eo/Gav+6+9YZRIZSr0pLCroe86Jtu7uoma8jY6OJG6Lcyi6W1Dyvuo/Gav+G+qxikQig/4aYmwrd1YQtAXpynQBUBffTkpP4rZ6CtsxIYZAW6qN5xufZWX72/sEkRUUZvhmcnLxqUz0VOO3BXCOgeMnIYQYK0ZMMDmRSOBwOPZpdzqdufX99cgjj3Dvvfdyww03MH369INuf91113H55Zf3aqutrWXJkiX4fD6CwWC/X3s4MU2TNTuac8szJrgpLw0R9PavZMPejJ9AIIDVOrhvpQUOL7Ork6yrywZt1+xIc9FJLiZ6PNhtg1etpakzxVsboyTT+VmHLzyxFMNix+eHCZXOfo3XUI7VaCDj1X8yVv3X37GyOTQ6kgkqixPsbk0D0NitcnSNH2wW3B7XoH7uDAfyvuo/Gav+G+qx8vl8g/4aw9HLL7/Mww8/zPLly9m9ezcVFRUsWrSIn/3sZ/tNzPikJ554gscee4x3332XpqYmJkyYwKc//WluvPHGEXvMO5imeKfxQed7AOyK7yJpJHEjwWQxerWl2nih8TneaV+x3yDyTF8NJ5ecziRPNT6bH7sqk5QLIcRoM2LOelwuF6lUap/2ZDKZW98fb775Jl//+tdZvHgxP//5z/u1T1lZGWVlZftdZ7VaR+zJY11zMjfBFMC8yT78XgdWa/+DJBaLZUjGIOC1cP4JxblgcipjsnxdmIkVHspdg/Pa6YxBY7vGyo35zKZp41xMn+ClpTPN+BIHIb8TVe3fbVpDNVajhYxX/8lY9V9/xsrtUnE6NKqKnblg8s6WFC67jbRmoBkq7jEw1vK+6j8Zq/4byrEaq3+PH/7wh3R0dHD55Zczffp0tm3bxh133MEzzzzDRx99REVFRZ/7X3vttVRVVfGlL32JiRMnsnbtWu644w6ee+45Pvjgg34fc48VM3wzc8Hkrkwnbck2QvbiAvdKiIHXlmrjhabneKftQEHkWZxWcjrV3sn4rD6s6tj8DBZCiLFgxHzCV1ZWUl9fv097Y2MjAFVVVQd9jtWrV3PxxRczd+5cli1bNmZPMvZatTFfzsKiwtHTfNgPIZA8lBRF4ZjpfiaUOdjVkr2osHJjmHOPK6bEb8NiGfi6W51RjRfe7yCV6ZGVvLCEcEzD57ZSGrT3O5AshBg5bFYV5ycm4WvpTGOYJumMSTJj4O9jfyGEKKTf/OY3nHrqqahq/pjuvPPO44wzzuCOO+7g1ltv7XP/ZcuW7TN59bHHHstXvvIVHn74Ya655prB6PaINds/t9fy5sgmpvqmyqRiYtRoT7XxfB9B5BrfLE4vPTMXRFaV4Xk+KYQQYuCMmE/6o446is2bNxMOh3u1r1y5Mre+L1u3buW8886jrKyM5557Dq/XO1hdHTHe2ZAPJk+qcFIS6F95i0Lxe6ycc0wot9wd01m5sZvu2MBPsJPRDOqaE6zqUSu5ZqKbieUOUhmTEr8Nn1tOEoQYrTwOCxVF+WCyCTS0p9ENk2T6wJNtitEtntJ7TVorxHB0+umn9wok720LhUJs2LDhoPt/MpAMcOmllwL0a/+xpthR3CsTuS6+g6S+792UQow07ak2Hql7kJs//gkr2pb3CiQrKMzyz+FbU7/N1VOuYV5wAQFbQALJQggxRoyYaNhll13Gr3/9a+6++25+8IMfAJBKpVi6dCkLFy5kwoQJAOzcuZN4PE5NTU1u36amJs4991xUVeWFF16gtLS0IL/DcBKJa2zYmZ80bna1F49zeE8cZFEVzpgf5Mm3WumMZAPIy9d2c9q8IEU+64DOCtwV1Xj+3XYyWs+s5GK6ohoBj3XYB96FEEfGYVcpL7LhtKu54HFdc5KjpnmJJDQMw5Q7E8YQ3TBp607T3JnBaVeZVO4c9XWzxegSjUaJRqOUlJQc1v5NTU0A/dq/paWF1tbWXm21tbVAtm723trZo8kU91Q60u0A7I7vIpaK4aD3XC+apqHr+qj8/QeajNWhGejx6ki381LzC7zTceBM5DNLzqbaMwmXJVv2Rtf1AXntwSbvrf6Tseo/Gav+k7Hqv6Eeq0N9nRETTF64cCGXX345P/rRj2hpaWHatGncf//97Nixg3vvvTe33VVXXcXrr7+OaeaDgOeddx7btm3jhhtuYPny5Sxfvjy3rry8nHPOOWdIf5fh4L3NEXoMEUdP8+K0D/8T45DfzlkLgjyxvA2Axo40a7ZGKQ868HsG5u2s6ybbGhO8uylfK3nuZA8VRQ664xqlQRsux/AOvAshjozTruKwWRhf4qC2ITvB687mJAtr/LlSF275HBgTEimdxo4UrV0ZMrpJOAZWC1SXuQalxJIQg+H2228nnU5zxRVXHNb+v/zlL7FYLFx22WUH3fbOO+/klltu2e+6SCRCV1fXYfVhOBuvTuA9VgEQ1rqpa9uB6ul9XK3rOtFoFMjWDhcHJmN1aAZqvLq0Tt7ofo0Pox9g0Ds4rKAw3TmDU3ynU+UYh92wk4qkSDGysvDlvdV/Mlb9J2PVfzJW/TfUYxWJRA6+UQ8jJpgM8MADD3DjjTfy4IMP0tnZyfz583nmmWc4/fTT+9xv9erVAPzqV7/aZ90ZZ5wxJoPJK3uUuCgJ2JhS6R7QzN7BYrUoLD6uhOdWdeSyBV9f08VxM/0DFkzuimk8t6odTe9dK7krphHyWSn2S1ayEKOdw6Zit6lUFtvzweSWJA6bSiypk0xLMHm0M02TjohGU0eKjnAGj8tCyG8jmtBp6khjt6pUFTsO/kRCHAHDMEin0/3a1uFw7PdY7o033uCWW27hc5/7HIsWLTrkPjzyyCPce++93HDDDUyfPv2g21933XVcfvnlvdpqa2tZsmQJPp+PYDB4yH0Y7o7xHMPfOx7PLderu5nnn99rArK9GT+BQGDMz9tyMDJWh+ZIx6sj3cFLLc+zsuNtdHPfIPIs32zOLjuHavdkbOrIPg+S91b/yVj1n4xV/8lY9d9Qj5XP5zuk7UfUX8/pdHLbbbdx2223HXCb1157bZ+2nlnKIpt5+97mfC3gWRPdeJzDPyt5r4qQnZNnB3jlo04AausT1NbHKQ3ajzi4oxsmtfVx3u8xPkdN9RL0WkmlDUoD9mE7SaEQYuBYLQouh0pZMF83uTOqEU/rpDWpmzzapTMGTXuykRNpneKADduez36vy0JGN2joSGG1KJT45aKCGDxvvPEGZ511Vr+23bBhQ68ybwAbN27k0ksvZe7cudxzzz2H/PpvvvkmX//611m8eDE///nP+7VPWVkZZWVl+11ntVpH5cljsbWUMkcZLakWAHYl6tBUDafV2Ws7i8UyasdgoMlYHZrDGa+OdDsvND7P2+3L9xtEnu2fy+LK85jkmYJFGT3fdfLe6j8Zq/6Tseo/Gav+G8qxOtTXkL/eGLR+Z4xYMh8IWTDFN6Iy7Ow2lQsXFvP6mk50Izsx1isfdTFroveIf4/umMbT77Sh7xkeBVh8fIhwTKMi5CDkG9lX44UQ/ee2W6gqtvdq292aojRgI54aGbUBxaHrimazkdu6MzjsCmVF9n2yPYMeK23hDA3taSyKleF/X48YqWpqali6dGm/tq2srOy1vGvXLs4991wCgQDPPffcIWecrF69mosvvpi5c+eybNkyOek7iCneablg8u7ELlJ6Eq9VJvwWw09Mi/F0w99Z0bb/IPIc/1zOq7yQas8kmVBPCCHEfslR4RjUs8SF064yf4p3xE0kNbnSxVFTfby/JVvXZc22KLtbk5QEbYedOWwYJpt3x/hwS75WzLEzfPhcVjChNGCT+phCjCFOu0rIZyPgsdAdy55s1TUnGVfiIJEyyGhGLltVjHy6btLcmaa5K00krhHy2XAcYC4BRVEo9tto7UxT324QcuoEh7a7YoyoqKjg6quvPuT92tvbOffcc0mlUrz88sv7BJoPZuvWrZx33nmUlZXx3HPP4fVKUPRgZvpm8U77CgCiWpTGRAPFjsOb8FCIwbIzXsc9W++ifc+EkXspKMwJzOWCyouY6K4eEeUPhRBCFI4Ek8egVRvzJRxmjHcNWK3hoeRyWLjwxOJcMFnTTV5d3cmkSlev29IPRTiu848VbRh7qqKoCpx7XIhYUmd8qYOgd+SNkxDi8Dns2brJ40ocdMfiQHYSvrMWFJFOGyQzEkweLWJJnYa2FK3daVRVobzIftCLrKqiUBKw09yRQE+mKSrS8UnmphgGYrEYF1xwAfX19bz66qt91jneuXMn8Xi8V3mMpqYmzj33XFRV5YUXXqC0tHQouj3izfLP6rW8JbqFGv/sXnWThSikt9ve4tGdD6OZWq5tbzmLT1ddzERPdQF7J4QQYiSRo5sxprEjxa7W/Ky78yZ78ThHTomLnuZN9jJ9nIst9dnJsd7dFOaCE4op9tuwHGKmtWmabKiL8tHWaK7t+Bp/dhIuq0ppcN/bnIUQo9ve///KkIP1ddlgcl1LEpsV4imDZNrA5ypwJ8URMQyTtnCGpo40XdEMAY8V9yF8J1osCiGfjda2CA1taSY7Dv/uGCEGyhe/+EVWrVrF1772NTZs2MCGDRty67xeL0uWLMktX3XVVbz++uu95hc577zz2LZtGzfccAPLly9n+fLluXXl5eVjcuLq/vDZ/FQ4K2lKNgJQF9tB0kjiVSWrWxRWxsjwv7se5a22N3u1T3JP5vPVX2a8e3yBeiaEEGKkkmDyGNMzK1lR4LgZfqwjtHSDx2lh8fEhttTXAxBLGixf1824Uuch1zaOxHX+vqKVvedSqgpnH11EKmNSGbJlS10IIcYUq0XB7VApK8p/niRSBl0xHU03SckkfCNaMq3T0J6itTuDppmUBu0H/D5s6Uzz/Lvt7GxJcsrcIGcuCOYuMNptKm6XhdbuNA6HlQllzkO+oCnEQProo48AuO+++7jvvvt6rauuru4VTN6f1atXA/CrX/1qn3VnnHGGBJP7MM07PRdMrk/sIqklpG6yKKj2VDv3bLuLnfG6Xu2nl57JZeOvwKKOzKQiIYQQhSURsjGmZ73kiWXOwy4JMRwoisLJs4Mse72Vps40ACs+7uZTxxRR5LUeUibx2u1R1myL5ZZPmh3AYlHwOq2UBGTSPSHGKqfDQmXI0autrjlJdbmTSELDNE25a2GEMU2TzohGY0eKjkgGt9NywAuQ3VGN/3u3nXfWd+dKID25vBXDMDn7mFBuO6dNJaOqNHWksFlVqorlbhZRODt27Oj3tq+99to+bT2zlMWhmemvYXnbGwDE9Tj1id2UOKVMiCiMDeF1LN12DzE9f47jUB18vvpLHB9aWMCeCSGEGOkkmDyGxFM6a7fnDybmVHvwuEb21eiAx8rZxxTx8MvNALSFM7y3KUJFkQOfu39v72hC48m3WnPLVovCGfOLspPuBW24HCN7jIQQh89pV/G7LZQFbbR0ZQDY2ZJkxjg36YxJKmPitEvQcKRIawbNHWlautLEUzoh//7LUsSTOv/8oIPX13SR0fYNrD21og2vy8LCWYFcm99lpStu0NiewmZVRvTFWiHE4anxzUZBwST7uVEb3cLswFxsqiQmiKFjmAYvNv0fzzT8I/deBCh1lHHt1G9R5RpXwN4JIYQYDSSYPIZ8WBtB0/MHFMfO8OKwjezajqqqcO6xIf6xoo1IQgfgjTVdnDo32O9g8oe1EdbtyAfZT5kTQMEk6LVR7JeDfyHGModN3ZNp6sgFk+uak9jtCsmUQTKt47SP7M/RsSIc02hoT9EezmCzKZQV2VE/kT2c1gzeWNPFP9/vIJ7qXcZEVUEB9D3Nf32lGa/LwqwJ+cLZRV4rrd2ZbEDZolB0iCWXhBAjm9vqpso1jvrEbgDq4jtIGUkJJoshE9fiPLDjPtZ2r+nVPjcwn6snfx2XRSZ7EEIIceTkDHgMWbUhXy+5yGtlWpW7gL0ZOMV+O6fPD+aWdzQn+XhHlERKP+i+saTOE2/ms5JtVoVT5gaw7Zl0TyZSEmJsc9pUHDaVyuJ8qYvdrSksikI6Y5KUusnDnq6bNLSn2NaYoKUrjd9jpchr6xVI1g2TFeu6+dmDO/jHirZ9AsnHTvfxH1+cxJfPqWTvXoYJS59vZEdTMredoiiU+G2EYxr1bSmiCW0ofkUhxDAyzTs997g+vpuEluxjayEGTn1iN7/c+PNegWQVlYuqlvCNKddJIFkIIcSAkczkMcIwzF6T79VM9ODtZ+bucGexKFy4sIQX3+/I3Y78yoedLJjqO2iJivc3h9m4K55bPm1eENOEIp+NkFeySIQY6ywWBZddpTyY/zzQdJPmzjQ2i9Kvi1aicGJJncaOFK1d2br6ZUX2XpPjmabJ6q1RnnmnLZd53tOsiW4uOqmE8aVOAEoDdqIJjWVvZC9CpjWTu59r5BuL/VR7svuoqkJx0EZbVwarRWFShSrZ60KMITP9s3i99VUAkkaSXfE6SqVushhkq6Mf8vTOv5Mx899lXquPqyd9nVmB2QXsmRBCiNFodEQTxUFtqU/QFctnSB011YtrFJ3cjit1sLDGz/KPsxMMrq+Lsb0xQUlg//UwAZJpnWVvtOSWHTaFhTV+PA4LpQEbFovUQRVCgMtpoTTowKLmSxzsbElSM9FDPGWg66Z8XgwzhmHSHs7Q1JmmM5rB77bicfa+uLh5d5x/rGhlZ0tqn/2ry51cfFIJ08fvewfP6fOLCMd1XnyvA4B4yuC+f4b53mcDhALZ17BZVEI+G63daaxWhUnlLqzyHhFiTJjpq0FFxSD7hVEb3cK84AIU5DNADLyMkeF/dz/KW+1v9mqf6K7m/5vyDUKOkgL1TAghxGgmweQxYtXG7txjm1Xh6GneUTXTvN2q8umTSnhrXTemmb39+JWPOpgx3k3pASZBemdDmC31idzy3lIZRX4rQa/8awghshw2FY8zW+pid2s28FjXnGT+VC+pjEEyY+CxyESdw0UybdDUkaKlO006Y1IasPcK5O5qSfL022297krZq7zIzqdPLGb+lL6/Iy9cWEw4rvHO+uwdP91xg7ueaeC7n52Ie0/Q2mFX8bmtuSz2CaVOVHX0fO8KIfbPaXEy3j2BnfE6AHbG60jqSVyKlBgQA6sz3ck92+5iR2x7r/aTi0/l8olXYldlIlghhBCDQyJmY8TKHiUuple5CI7CEg4zx3uYM8nDx9uzk+m9vzlCY0eakN/W67ZmyGYl/+/rzblll13lmOk+/G4rpUH7qAq0CyGOjNOenYRv3CeCyQ6rSjiukUwb+2S9iqFnmiadUY2mjhTtYQ23Q6UsaM19nrd2pXl2ZTsfbInss2/AY+WChcWcUOPf5/tifxRF4Yozy4km9Nx3TlNnhrufbeC6S8bl7ojxOC1ouklTRxqbVaUyJN8vQowF07zTc8HkhkQ9CT2OyyrBZDFwNoU3ct/2PxPV8t9pdtXO5ROu4KTiU+W7RgghxKAaPXUOxAG1dafZ2pDPwJ07xZvLnBpNnHaVTy/M38qVypi8trqDcGzfCZBWrOtmW2N+QpQzFgSxqiolARs+l1xjEULkOWwqDptCRXE+w6epM41hmGQ0mYRvOMhoBvVtKbY3JmjvzhDyWfF7soHkcEzjb6818/NHduwTSHY7VC45uYQbvzyJk2YH+hVI3suiKly9uJIpFc5c27bGBH95oRHdMHNtAY8VE2hsT9EW3rcusxBi9Knxz8o9ThkpdsR2FK4zYlQxTZMXm57n91v+p1cgOWQJ8e0p3+XkktMkkCyEEGLQSTB5DHh3U++T5xNm9i/zaiQ6bqafiWWO3PJbH3fT1p3GNPMn9qmMzt9ez9dKdjtU5k/xEvBaKQmMvoxtIcSRsahKNsu1x+eDacLuthSqqhBLyiR8hRSJa2xvSlLXnEQ3TMpCduw2lURK55l32vjpg9tZ/nE3Ro+Yv82qcM6xIW66ajJnHxM6YG39g7FbVa65oILyYP4C7cfbY/ztteZe3ztFPiuJtEFDW4ru/VzgFEKMLtO9M7Eq+eSEbdFa0ka6gD0So0FCj/PnbXfxVP0TmOS/Y2p8s7mm4ptUeyYVrnNCCCHGFEnBHAN61kseV2JnXImjj61HNo/TwvnHF/OnZxsACMd1VqwLU1HsyGUcv7Gmi7rmnlnJRThs2axkp330ZWwLIY6cy2Gh2G/HYVNJZbJRybrmJMfM8JFI6aQzBnabXJ8dSrph0tqVprkzTXdMI+i14nJYyGgGr63t5MX3OoinemeNqwqcNCfAeccVEziE2vimaZJIGyRSBjaLgt+T39ftsPDVs/3c9UKErmg2UPz2+jB+t5ULTyzZ87oKJQEbLV1pdrcmsVlduB3yfSPEaGW32Jngnsj22DYA6uI7SOv7TvYpRH81JOr589Y/0pLKJ8SoqJxbcT7nlC4mGo4WsHdCCCHGGjnzHeXSGYMPa/OZybOrvaO+tueZC4oI+fIn+m+s7aQrkr21OKMZvbKSfS4Lcye5KfJaKfZLVrIQYv8cNhWnXWV8af5iXF1Ltm5yWjNISKmLIRVP6exoSrCjKUEspVNWlM1Gfnt9Nz97aAd/f6ttn0Dy0dO8/PiLk7jizPJ+B5JTGYPOSIamjjTJtIHPlQ1Wd0d7ZxcHPBa++elK3I78YdUL73XwxprO3LJFVSjx22gPZ9jdmiKdkfeMEKPZNO+M3OPGRANxPVbA3oiR7L2OVdy28b96BZI9Fi/XTPkGn666GKsq+WFCCCGGlnzzjHJrtkVJZfK3QR0/w4ftMG/nHSkCXiuLji5i2f8BcfEAAFJbSURBVButADS0p/mgNkpp0M5rqztzE2gBnD4/iMdlpSRoP+zbnIUQo5/DrmK3qVQV23M16Hc2J3HYVKIJnWTaIOApcCfHANM0aQtnaO5I0xHJ4HNb8ThV1m6P8fTbbTR37nsb+cwJbi46qYSJZc79POO+NN0kntSJJ3UsFgWP00JZ0I7fY8XjtNDUkaKhPUU4pvXKUK4osvONi8Zxx993k9Gy37uPv9GKz23l6Gk+AGxWlaDPSktnGqsFqstcWCyjs+yUEGPdLP9sXmp+HoCMmWFHfAcz1JoC90qMJJqh8WT9Ml5reaVX+3jXBK6efA2VrsoC9UwIIcRYJ8HkUW7VxnDusc9lYVb16I92KIrCBSeU8Ow77blswVc/7OSY6T7+9lr+in7AY2F2tYeQ10bIJ1nJQogDc9hU7FaFilA+M7kjohFP6eiGSTIldZMHWypj0NSeoqU7TSpjUhK0saMpydMr2tjRo3TRXhPLHFx0UikzJ7gP+tyGYZJIGcSSOqYJbqeFipCDoNeKz23Fac9fbBxf4gQT6ttThOMaXkc+GDy5wsXXzqvkz882YJhgAg+82ITHaWHG+Gw/XHYLuguaOtLYrSrjShwyWZIQo9BU7zRsio2Mmb07blt0K5O9UwvcKzFSdKW7uHfbn9gW29qr/YTQiVw+4Urc1oN/twkhhBCDRYLJo5hpmqzsUS951kQ3XtfoLnGxV1mRnVPmBvnnBx0AbNod54k3W2jsyGetnT4vSMBjpTRoG7UTEgohBoZF3ZOh+olJOne2JCkvshPdE1SWz5LB0RXN0Nieoj2s4XSoZDSde59rYH1dfJ9ty4I2LjyxhKOmevsM0pqmSTJjEE8apDMGboeFkN9K0GvD77bidqj73d9iURj//7d353FOlff+wD9ny8mezGQyGwz7LgIugCgFRUEEETcUq0Wr1d6rVu2Vq7e9P1u1ttrS2mq9tnVDQVttWVyprQhqrRTcqBvIOjAMA7Mv2ZNzzu+PzGQmzMBk1kxmPm9evGby5JzkyZNM8s33POf7eM0wEE8oG4aRFEydNMyOq+bk4YW3jwKI13Z+8o3DuO3SwSjyxmdH2y0SopqOw9VhyFLyQQoi6h9kUcZQ2zDs8e0GAJQEDyBq5SJ81L7dDbvw9L4n0BBrnhSkCAoWD7oUs3JnQxL4FZ6IiNKLn0T92IGjIZTXRhOXp4xyDJgF5iRRwKIZHmzaXg29sSzlmx9WJ67PcsgYN8SGLIcMl41/BkTUPrNJhMsmw2mVUB+Iz0Q+cDSEolwzIlED4caEJHWfaEzH0ZoIymsj8DXOGn7lnxX4eFdDi3Xs45xWCRdM8+CM8a4Tlo6IxOIzkENhHaoiwm6W4M5R4bDKsFuklA4INCWUdcPA4YogJEOHpcWJP9PHu9AQ1PDqB5UA4rOqf/9aKb5/WRFyXCYAgNsmo7I+irLGGcrZrNtP1O+Mto9JJJPLwmUIaK0PgBE1MQwDb5e/hVcOrYOO5rr62aZsXDP0WoxxjOOZLERE1Ccwi9aPtSxxIYnAaaOdaexN7xtRYMVpox348OuGVtd942Q3sh0Kct0mBmVElBKzSYTJJGKw14yvDsQXUjrYuAifPxRDKMJkcndqCMZQVhVBZV0EwbCOrTvr8MGXddCOWbfOYhJx3mnZmD3JDZPSdu17TTPgDzfWQW6cZZ7jVOC2KbBbpU7VzJclAUVeM3RNQ0lZA/xhDQ5r8/N/7ilZqPfH8M6/a+OPJ6Dh8VdLccdlRXBaZQiCAI9TQUVNBKVVYSiyAIeVYRlRfzLONQF/PfIGAEAzNBwMHcRIY1Sae0V9UUgL4fniZ/Fp7SdJ7WMcY3HN0GvhUXPS1DMiIqLW+K2lH2tZ4mJkoQUe18Ca9SRLAi46M6dVMtnjVDBhiA05LgV2C/8EiCg18brJIgqyTYlk8oGjIcgyEIkZCEX0dm6BUqHpBirrIjhSHZ+RvH2vD+9/UYtINHkusiIJmDXZjfNOzYbN3DqJrxvNdZB1HbCZReRnqXDZZTgsEizdkPhXGmse+30y6gMaJFGDtbEvgiDg4pleNAQ1fLwr/jlUWRfF718rxW2XFMFsEiEKAjwuEypqI5BFYHiBZcCcQUQ0EIywjYQqqgjr8cWfSyIHEDUiUDCwYnI6sSPBMjyx93c4Gj6SaBMg4Jzc87CwYBHMcmoLyBIREfUWZtL6qTp/DDsPNp9Kd/JwOyymjs+8ynQnD3dgzGALdh0KJtpmTnQh26kgZ4Al14moa1RFhEkRkJ9tSrT5QzpqGmIAgAAX4euyYFhDWVUYZdURbNtZh39+WQ9/KHlcRQE4Y7wL50/LRpa99ft4KBJPIEciOixmEVn2eB1kh1WCTZUgdnNda0UWkZtlgiViQnmtBghIzFAXBQFXn5sPf1DDzpL4Z/KhijCe2nAY311UCEUSIUvxGcqVdVHIkoih+eZOzZQmor5HFEQMsw3H1w07AQClkUMIaxFY0f8XxKbUfFLzMZ4vfjZxwAEArJIVS4qW4rTs01kfmYiI+iR+OvVTH++qh95iEte0cc5u/wKdCVRFxCVn5eIXfz4AwwAKPSomDrPB61I4+4uIOkQUBdhUCd5jDkQdOBrC8AILAiEd0ZgOhYnADonGdPiCGuoDMdQ0xPDPL2rx/hd1qPXHWm07eaQdF56Rg7wsU6vb8Ic0BMM6VEWAVZUxyKPCYZXgsMgnrKHcHRRJxOAcFYIQw5GaCAQgMfNZlgRcf0EhHnu5BAfL48mCXYcCeGHjUSyblw9REGBSRDjtMsprI1BkAUW5Zi7mSNRPjLaPTSSTK2LlaIg2IMuSleZeUbpphoZXStfh7aNvJbUXmgfhmmHLMMQ6jKX4iIioz2IyuZ/a2qJecq5bwbA8Sxp7k17TxjvxnQsKcaA8hInDrPA4FXi40BERdYJFFWEzy/C6FFTUxRc4PVgexrgiG6JRHaEok8mp0HQDvqCGhkAMdf4YfMEYPt/vxz8+r01aOLbJ6EEWXHRmDoa2+CzTdAOBkAZ/SEsk+j05Cpw2GU6rfNz6yT3FpIgYkhc/FflITRiCIMDceEaQ2STiuxcOwm/WliReN5/sboDDIuHSb3ghCAKsqoSYZuBIdRiKLKLQw5r+RP3BBNdJeL3sFQCADh37AntQ5Cji3/cAVhetw8p9T2K3b1dS+6lZp+PyoivgUtzp6RgREVGKmEzuh2KagY93NSeTJw6ztVlPcqCwqhJOG+OAx6nArIrwuk1M9hBRpzSVuhjkVRNJwQNHQzCZBNQ2aAiFdTgG7rG7E9L1+CJ4DQENdb4o/CEd/lAMxUdD+MfndSitDLfaZ7BXxaIZORhXZIUgCNANA6HGOsiaDlhVEbluE9x2GQ6rnPYFEFVFRFGuGQaAo9VhZDkUqI0JZYdVxs2LB+PXaw6iPhAv3fHuZ7Vw2mTMPS0bAOC0yqiuj+JI44J8uW7T8e6KiDJEkXUILJIFQS1ecm2/fx9m6GdBldQ094zSYa9vD57a9wfUR5vXtpEFGQsKFmF27jkwS6yPTEREfR+Tyf3QVwf88IeaF4KaOtbZ46f49nXZTgW1vhisqoQsB2clE1HnmE3xRfgKs1Vshw8AUFIRgigIiGlchO9YhmEgENbhC8ZQ54/PRA6EdQiCgUPlYWzaXoOSitZJ5ByXgoXTPThltAOiICAciSeew1EdZpMIly1eB9lplWAzd38d5K4wm0QMyVWh6wbKayPIdipQG2dJe5wK/vOiwXhkXUnitfLalko4LBLOmOACAGQ5ZFTURlFWFYZJFuBuoy40EWUOURAx3DYCX9V/CQAoCR5ESA8xmTzAGIaBdyo2YV3JX6CjOVZwK25cOeRqnOQ6ifWRiYgoY/ATqx/atrP5SLdFFTFxuD2Nvekb7GYJ+dkqbGaRdSiJqNNMcnxmcl52c4IvGjNwpDoCkyzAF4qh1heF2SRBVYQBexpzKNI4AzkQQ0NAQyCkQTcMWFURFbUR/O2jqkT94JacVgnnT/XgzAku6DDQ4NcQiGhQJAE2s4z8LBOctvgsZLkPHyQ1myQMbSx5UV4bgcepJMpuDMpRceOCQjz+aim0xsUNXtx8FHaLhInD7RAEATkuBeW1EZRWxkteDOSzi4j6gzGOcYlkcnn4KBoidXAprjT3inpLWAvjjwdW46OabUntI22jcOWQq1FoKRyw8QIREWUmJpP7oZb1kscV2eC08mkWBKHVgk1ERB2VqM3rUCCKgN44uejA0RAmj7CjojaKhoAGVRFhUSXYzRLMqgirKkJVxH79ZTES09EQ0FDvj6I+EK9lHNMMWFUJbruEPYdDeOHtKhw4Gmq1r9MqYe5p2Zg23omYZqCyPgoBgNUsodCjwtVYB1nt5TrIXWFRJQzJM8MwDFTWRZHtUmBqLLE0erAV187Lx8o3y2AA0A1g5d/KcMviwRhRYIEoCvC4FFTWRiGJAoblWxL1l4ko84x3TsDLpWsBAAYM7PbtwiAr6yYPBEdDR/Hk3t+hLHQ40SZAwEzvbCzIvxBOkzONvSMiIuocZhn7mcOVYRxqccrwKaPsvb4IERFRf2ZWJZhNEgqy1USd34NHQzjzJBcsqohwVEc4qqMhqOGoYcAkizCb4slku0WCVY0nmM2K2KfKM3RGTDPgC8ZQH9BQ548hENISpSicNhkmWcCOgwH8ddvxk8jnnZaNGROciEQN1DbEYFMl5DiVFnWQMzcJb1UlDMmzwABQWRdFjktJ1OyfMsqBJWdr+PM75QDiM9yfeL0Ut19WhIJsFYokItuhoKIuAkUWMDTP0qdnYxPR8Q2yDIZNssGv+QEA+/z7MEOfyfq4/dz2mk+xqnglwnrz559ZNOPiQZdhqmc6n38iIspYTCb3M9u+bp6VLAjA1HE82k1E1J1URYQiCxic05xMPlAe/6IoigIsqgRL40JwumEgEjUQjurwBaMor41AVQSYFAlmRYDDKsNsis9iNpsyowyPphvwBzU0BDXU+qLwh+MLD5oUEVaziCxHPLTY2ZhELm4jieywSjjv1GycNdEFAUB1QwwmWcBgr4ocpwk2i5QRY5EKm1nCkFwzDKMxoexWoEjxhPLMiW7U+2N488NqAEAgrON3r5bi+5cVJRbvc1hlHKmJQJYEFHnNGX8AgmggEgQBw20j8UX9ZwCAksBBhPUQk4n9lGZoeK30Fbx19M2k9jw1H1cO+SZG2kdBFvk1nIiIMhc/xfqZlvWSh+ebkceV4ImIupXZJEBVRBR4mt9fy6rCiET1VmeCiIIAs0mIlyiwxRfgicQMhCM6anwaKuqiUGQBqiJBNQlwWGRYVBEWkwiLSeozi6cahgF/qDmBHAjqCEQ0SFK87IfLJkMUBBiGgZ0ljUnkIydIIp/kgiILqA9oCIY1ZDsU5LpN8DiVfpkstVtkDGmsoVxZG4XXbUrMMr5gmgf1AQ0ffBn//K71xfD4q6W447Ii2MzxBQZjMQNHaiJQZBGFHi7aRZSJRtvGJJLJleEK1Ebq4FLc6e0Udbu6aB1W7nsKu31fJ7VPck3GxYMug9ecC1HgWaNERJTZmEzuR/whDZ/v9ycuTxpuZ41FIqJuZpJFmOTkOuy6ARyqDGNEgeWE+wqCAFURErV/DcNANBafuVzn11BVF4Usxa83m0TYzRIsZqkxwSz1epmDYFhDoEFHvT+GhmAMgZAOQYjXMs51mxKJX8MwsPOgH3/dVoX9bSWRLRLOPTULMye6YVJERKI6jtZEYDFJKPKakZ9tgtnUvxeZc1jkxAzliroIvK54QlkQBFwxOxe+oIbP9vkAAEdrInji9VLcsngwTIoIl11GVX0UR6rDMMkCclw8UEyUacY7x2N9Wfx3AwZ2N3yNIdYhGVvGh1rb3bALT+97Ag2x5jNFJUHC3Lz5ODt3DhyKI429IyIi6j4ZlUwOh8P40Y9+hNWrV6OmpgaTJk3CAw88gLlz555wv6+//hq///3vsXXrVnzyyScIh8PYv38/hg0b1jsd7yWf7mlATDMSl6ePdzJAJSLqZqIowGaR4bbJMCkCItH4++6Bo6F2k8nHEgQBJkWASRHR9BUzGtMRaqy5XFUfhSQJMMsiVJMIm1mE1SzHZy6rYqL+bncKRXTU+iI4WhmCJsoIRgFdN2A1S/C4lKSEtmEY2HUoiL9uq8S+stZJZLtFwrmnZGHmyW6oigjdMFDriyIUMeBxKsjLUpHtkAfMZ5XDKqMo1wwD8YRyrssESRIgigKunZePx18txd7DQQDA/iMhrPxbGb6zoBCSKCDLIaOiNorDVfEZyi5bRoVwRANerpoPu+iAT28AAOz370VI/wYsUsc+N6jv0Q0dG4/8Ha8dfhk69ES7U3bissFXYKJ7EkuaEBFRv5JR30Suu+46rFmzBnfccQdGjx6NZ599FgsWLMDmzZsxc+bM4+63ZcsWPProo5gwYQLGjx+P7du3916ne9G2nc1HwT0OGSMKGZwSEfWEeN1kEUU5Zuwtiyf/2lpgrjMUuTFJ3PgWHtV0RCIGfCEN1b4oJCECVRFhUkTYzSKs5niNZotJ7PSCq5GYDl9AQ30gvpieLxBG0B+F3anDbTfBdEzS2jAM7C4N4q/bqhLJz5ZsZgnnndqcRAaAcERHtS8KmyphSK4J+dlq4rqBxGWTUeRtnKFcG4E3ywRJFKDIIm5cWIhH15XgcFUEAPBlsR8vbj6Kb87JgygIyHEpKK+JQJYARbbAqvbv2dxE/YkgCBiiDsVXwS8AAAcDB3EkWIYc1csZqxksEPPjueJn8EXd50ntw20jcdmgJSiyDWF9ZCIi6ncy5pNt27ZtePHFF7FixQosX74cALBs2TJMnDgRd911Fz744IPj7nvRRRehtrYWDocDv/zlL/tlMlnXjaRk8oRhNtjMGfP0EhFlFLNJhKIIGOQ1dXsy+ViKJEKxADZLPHEY0+JlMYIRDXW+aHx2s0mAWYmXw7BbpMaZy9IJk7WaZqAhqKEhEEOdPwZ/WEM4okM1ibBbZFglBRabAlFKvo1dhwInTCKfe2oWvjHRDbWxzJKuG6j1xxCLGch1mZCXZYLbPnBmI7fFbZdhGPHaxxW1EXjd8YSyVZXwn4sG49drD6K6IQYA2LqjHk6rjEUzciCJAjwuBZX1UciSiGF55k4fQCCi3jfcPDKRTK6OVOFw8DDCehge3YNskweSwANEmeSAvxhP7vs9aiLViTYBAmbmzMJ5efOQrXpYH5mIiPqljMk2rlmzBpIk4aabbkq0mc1m3HDDDfjhD3+IkpISFBUVtblvdnZ2b3UzbXYdCqDOH0tcnjrWBakfLmJERNQXqIoIVRZRkN28GFpVfRT+oJZI+vYUWRIgS/GF2QBA0+PJ5VBEQ50/CsMQEosEWtX4dha1uSxGIKShIaCh1h+FP6QhGI4vHGhVRWQ1Jnl1TUMwkny/uxuTyHvaTCKLmHNKNmad3JxEBuI1l2t9MdgtMgZ5FORmtZ7lPFBlORQYiM/yrmxMKIuiAJddxn9eNBi/WXsQ/lD8dOm3Pq6G0yph9uQsmGQRbrucmKE8NNfSZxZqJKITG2UZBdQ0X/bFGuCQHSgLHkYoFkKO2cuyFxnAMAz8o+JdrDn0EjRDS7TbJBsWDboYU9ynwKE409hDIiKinpUxyeRPP/0UY8aMgdOZ/ME8bdo0AMD27duPm0zuqvLyclRUVCS17dmzBwAQi8UQi8Xa2q1X/eur2sTvJlnApOGWHu9XLBaDpml94vH3dRyrjuF4pY5jlbruHCtJMCCLOrzO5MRx8ZEAxg+xdvn2O0IAYJYBsywCEKHrBsIxHaFIFPX+CAzDgCLHF/STRQGhqI5gWIckAhazBK9Lgtg4S9jQdRgAdE2DrmvQNQ17Dgfx5ofV2HO49cxrm1nEOZPd+MbJrsZZ0AZ0TYOmG6jzx6DrBrxOBblZSmONXx2xmN7qdjJZV15XTouAgmwZuq6hvCaEHKcCURTgdUq4aUEB/u/Vw4jE4jW51/2jAjZVwKmjHVAlwKwaKKsMQhJ0FHrUjJjp3dvvVwP5ffHtt9/GCy+8gPfffx+HDh1Cfn4+5syZg5/85CcoKCjo8O3NnTsXGzduxC233ILHHnusB3o8MGQrHriVLNRG4xnlj2s+xMWDLoUkyKiIlCOkh5Cj5sCluDmjtY8KaSH88cAqfFzzUVL7IMtgXDrocgyzj2B9ZCIi6vcyJplcVlbWZvDb1Hb48OEeu+/HH38c9913X5vXNTQ0oLa2tsfuO1Utk8mjChQY0QbU1vZsEKppGny++MrzksTT8k6EY9UxHK/UcaxS191jJcQiMCEEm1mAPxRP+O09VIdhnmiXb7s7qABUBdBhIBYDAg06YroBRRFgV8R4AjkGhNvIt+m6jt0lPry3swH7jrbewGISMOskC2aMM8cX1os0JGYyhyI6/CENNrMEj12G26LBiEbQBz4qe0RXX1ciAKcSRTgQxZEKHS67BBECcu3AN2c7sGpTPXQDMAC8sKkcCkIYVWiCDCAYjaHkcAPCQROyHaZufVw9obffrxoaGnr8Pvqqu+++G9XV1ViyZAlGjx6Nffv24bHHHsPrr7+O7du3Iz8/P+XbWrduHbZs2dKDvR1YRtlG46PabQCA0uAhPLP/SZyfvwAjbaNQF61DRA8jGAsix+yFSez7f9cDSVnwMJ7Y+zuUh48mtU/Nno65efORZ85jfWQiIhoQMubTLhgMQlXVVu1mszlxfU+5+eabsWTJkqS2PXv24OKLL4bD4YDb7e6x+05FVX0UByqakxenjXUjx9PzpT2aZvy4XC7Icsa8lNKCY9UxHK/UcaxS191jFRUiqA4GMSQ3hh0HAwCAw7WAxebq8m2n097Gmci7D7dOilvV5pnIZlPyAUtNM1Djj0KQgMH5JuRlK7Bb+v9rsjteV243YHNEcKgygkBEg8epQBQETBkDxGDG82+XAwA0HXj+3QbcungQirwqzFYDVfVRNEQlZEkqshxKdz2sHtHb71cOx8Bd1Ozhhx/GzJkzIYrNf6fz58/H7Nmz8dhjj+GBBx5I6XZCoRDuvPNO3H333fjRj37UU90dUOblXYCdvq/gi8UPrAS1IF4uXYuJzkk4N3cuYojiaOgIQnoIXtXLcgl9xNaqLfjTgecRNZo/G82iGfPzF+LU7NOQZcrmbHIiIhowMuZbnsViQTgcbtUeCoUS1/eU3Nxc5ObmtnmdLMtpT+B8vKc26fKMCVm91idJkvrEGGQCjlXHcLxSx7FKXXeOldUMqGoUg7xqIplcUh6GIIoZUXLgWHsPB/HXbVXYdSjQ6jqrKuKcU7Iwa5IbFlPrGaW+YLwOs8tmQm6WCbku04Cq49sdr6t8jwxRknGoIoQan44clwJBEDBtvBu+kI6X/1kJAAhHDfzhjTJ8/7IieN0m5GRJKK+J4EitBrNZgaOPJ/B78/1qIL8nzpo1q8227Oxs7NixI+Xb+cUvfgFd17F8+XImk7uJV/XiW8Oux9/KNmCff0+i/Yv6z3AwcAAXFl6EPHM+aiM1CGtheNQceNRsSMLAfT2nU1SP4qWDf8SWqn8mteeqeVg86FKMtI+CQxm4B66IiGhgypiopKCgAKWlpa3ay8rKAACFhYW93aU+Y9vO+sTvRV4VBZ7WM7iJiKh7mU0iTLKIgqzm99yGoIZtO+uR4zLBbokvfmdVRYh9eEHUfWXxJPLXJa2TyBaTiDmnZGHW5LaTyFFNR019DLIkoDBHRX6WaUDMRu4puW4TDMPAoYowKuujyHHGE8pzTslGfUDDpk/jdVZ9QQ2Pv1qK719WBKdNRo7LhIraCGQRGJZvgUVlyRtqzefzwefzIScnJ6XtDx48iIceegjPPPNMhyZtZMJaI+nQVDNc13RkSW58I3sWxtnH4+2KvyOsxyfM1Mfq8MeDqzEt6wyckX0WQtEASmMl8Ed8yFEHzuJ8fWU9iMpwJZ4u/gMOh5K/g050TsLc3PORby6AWTCnvZ99ZbwyAccqdRyr1HGsUsexSl1fX2skY77xTZkyBZs3b0Z9fX3SInxbt25NXD8QhaM6tu9prgk4eaS91anHRETU/UyyAFUR4XUnlxZ44e3kWoqCAFhVKZFctlvExp9y408JNrMIu0VObKMqQo/Pbm4viXzWBDPOPTUXNmvrmp2GYcAX1OAPanA7FOS6TchxKZD6cNI8U8QTysChijCqG2LIdsgQBAEXnZmDhkAMH34d/8yvqo/id6+V4rZLB8NikuBxKqisiyKmA7IIKIoIRRIhiYAsCZDExv+SAEnEMZf5vA0Ev/nNbxCJRHDllVemtP2dd96JU045BUuXLu3Q/WTCWiPp0LJmeFSPwggDg8UiXJH1TWyqfwul0UOJbbfV/At7G/bgPOf5cIgOlGllqJPr4FScsMuOfl9OoS+sB/GV/wusr1qLiNF8ZqwiKJhpm42TrZPhiDgRioYQQuvFaXtbXxivTMGxSh3HKnUcq9RxrFLX19cayZhk8uWXX45f/vKXeOKJJ7B8+XIAQDgcxsqVKzF9+nQUFRUBiM+iCAQCGDduXDq722v+vdeHcNRIXJ42LrNrdRIRZQpBEBoTvyIKsk0oq460uZ1hAP6QBn9IS/m2ZUlokWhOTjgf2243S7Ba4onDVOxvTCLvPE4S+ewpWZg10QHEfG3OcI3GdFQ3xGCSBQzyqsjPVmHlTNhuIwgC8rJM0A2gtDKE6oZYoobyN+fkwx/S8NWB+HNXWhnGU28cxn9cNAgmRUSWQ4E/pEEzDOg6oOtN8YEASQIkARAbk8iiKEAU4q81UQQUOT7TPp5kRlKiuSkh3bQvk8+9S9d1RCJtv78cS1XVNg9Evffee7jvvvtwxRVXYM6cOe3ezubNm7F27drEpI2O6OtrjaRLy5rhNsGGcDCM+mg9smQ3lmZdjY9rP8Q/qt6FZsQ/K6pilVhT8yK+4ZmNU7JPQ32sDj6xAYqiwKN6YBL775mI6VwPQjM0vHx4Ld6rfCepPVvx4ML8RRhuG4UsU1afKmfF9TNSx7FKHccqdRyr1HGsUtfX1xrJmGdv+vTpWLJkCX7wgx+gvLwco0aNwnPPPYfi4mI8/fTTie2WLVuGd999F4bRnGCtq6vDb3/7WwDAP/8Zr3f12GOPwe12w+1249Zbb+3dB9ONtu2sS/zutEoYP8Saxt4QEQ0sZpMISRJw6Tdy8coHFSivjSDS4gBfZ8U0A3X+GOr8qZ9upCpiPLnclGg2S7C1uKwqArburMfOg8dPIs+e7IZVlaBrGoLH3LVhGKgPaAiGNWQ3zkb2OJU+XcIjUwmCgIJsE2AAhypDqK6PItupQJIEfHt+IR57+RAOHI3PhttdGsTqt47gunkFUE0i1DbOTjIMA1pjcrkp0azpBmKagVAk/rtuNCefBSGeYJZFQBAFSELLRDIgioAqi5Abk8+y1JykltuY/czXSNe89957OOecc1LadseOHa0mVOzcuROXXHIJJk6ciKeeeqrd24jFYrjtttvwrW99C1OnTu1wf/v6WiPp1FQz3CybMVgqQmW4HDWRWkSMKKZ6pmOEYyReO/wKKsKNi24aGt6p3IT9gX24IP9CSKKEimg5IkIUXtULZz9enC8d60HUhGvw5L7f4UCgOKl9rGMc5uUvwCDLoD5bH5nrZ6SOY5U6jlXqOFap41ilri+vNZJRz96qVatwzz33YPXq1aipqcGkSZPw+uuvt7nISEs1NTW45557ktp+9atfAQCGDh2asclkwzCS6iVPHG6HzczZYUREvUVVRJhkAUVeFXddORQAEInp8ZnIQS1eCiKU/NPXeF3Ly7re9b6EozrCUR1V9dH2N25kNok4e7IbZ0/JOuHs4khUR3VDFBaThCKvGfnZJpjbqKFM3UcQBORnm2AgnlCuaYgiy6FAVUR898JB+M3agyivjT/X2/f4sNZSjstn5bY5W04Q4glfpLgoot5iZrOmNyafDQPRqJ7U3nTcXmxMPkstks9NSeSmpLJJFiAKOiKhCFyurh9wGUjGjRuHlStXprRtQUFB0uWSkhLMmzcPLpcLGzZsSGnWyapVq/D111/jD3/4A4qLi5Oua2hoQHFxMXJzc2G1cgJDV9hkG1SxCBbJiupIFaoiVXDKLiwb+m28X/ketlZvSWx7IFCMlcVPYl7efIx2jEVdtBYRLYyg6kGO6uHifN3gy7rP8dz+Z+DX/Ik2WZBxVs43MMNzFrzmXJglcxp7SERE1HdkVORhNpuxYsUKrFix4rjbvPPOO63ahg0bljRTub8oPhJCRV1z0uD0sY4+dcoVEVF/pzYuwheJ6bAinlw1ySJMdhFZdqWdveMMw0AoordOMjf93pSMbnFdINy17HMiiTw5C9YTHITUDQP1vihCEQMep4K8LDVRw5d6nijGZygbhoHSyjBqfFFk2RXYLRJuvmgwfr32IOr88VPi//F5HZw2Geef7un6/QoCRAnQG59mAwYEDYARf03EdAOaZiRmN0djBiIxHdGY0fxf0xHVDMRiRuNPHdGYDsGI4tzTzDhzYnaX+zlQ5Ofn47rrruvwflVVVZg3bx7C4TDefvvtVonm4zl48CCi0SjOOuusVtetWrUKq1atwvr163HxxRd3uE+UTBZl5JrzYJGsqAxXoDZaC0VQMNt7DkbaR+H1w6+iPhY/CzGsh/Fa2SsY75uAuXnnI2pEURY8jLAWRI6aC6vM5H5n6IaO1w6/greOvAkDzd8XXYob8/MvwBjnOHhVLxP2RERELfBTMYNtbTErWZYETB3Tf091IyLqi5oW4fMFU6+HfCxBEGBRJVhUCd4Uy95ruoFAqO1Zzv6WP1skpCNRA1ZVxDcmxZPI7Z3JEo0ZqKuNwG4xYUiuCfnZKlSlfy/61BeJooBCT7w26qGKEOp8MbjsMrKdCv5z0WA8sq4EwUj84MIb/6pCVX0UqiJC0+KJ3lhjwrdl8jemATFNh6aj8XLzdVqLfXrqOPyg3ACTyT3M7/djwYIFKC0txebNmzF69OjjbnvseiNLly5tc2HrSy65BAsWLMCNN96I6dOn91TXBySH4oBZMsMasaI6XI2qaBXyzPm4fvh3sPHoW/ii/rPEtjsavkJJsAQLCxYh31yAinAFwnoY2aYcZJmy+v3ifN2pPlqPp/c9gT2+XUntw20jMD9/AQosg5BtyuYBVCIiomMwmZzBWtZLHj3IkvIsOCIi6h6CIMBukXC0NrXFsbqLJApwWGU4rKl/jEdiOhRJaPdLsa4bqPZFEQppyMsxoSDHAreds5HTSRQFFHhUaLqBw1Vh1PtjcNpkFOaouHFhIR5/tRQxLZ75/ddX9e3cWvo19ZV6ztVXX41t27bh+uuvx44dO7Bjx47EdXa7PWlW8bHrjYwbN+64C1kPHz6cM5J7iCIqyFWbZynXRWphElUsKLgQo+yj8bejGxDUggAAX6wBL5X8EadlTcXMnFnwxwII6aUIagF41VyoUv9dnK+77GrYiZX7nkJ9rPk9U4SI6Z4ZOMNzFvItebDLfbM+MhERUboxmZyhan0x7CxpXkTp1NEOSCnWQiQiou6jKiIUSUBU06FIfXdGmEluv2/BsIZaXwxWVYQ7y4ShBWZYzTxQ2RdIooDBOWbAAEqrwqgPxOC0yhg1yIrrzi/A03893GMziTuqaVE+WWpclE+K/wcASdDhtjP87Gnbt28HADzzzDN45plnkq4bOnQoE8J9lCAIcCpOmCUzLKIFNdH4LOUR9pG43nojNpS9jv3+fYntP675EMX+/VhUuBiqaMfR0FGE9Qhy1Bw4ZScPArbBMAy8eWQDNhx+DTqaS0bZZQfOzT0P450nIdecx4Q8ERHRCTCaz1Af7apP+tI4fRxLXBARpYO5sW5yNGpAydA16TTdQK0vBl03kJdlQo5TghGNpZSApt4jSQIGe80wEE8oC0IMDouMSSPsuO78AmzeXgNNMyBJAuTGJK7UmMiVxeTfm66TRECWxDaTv1LL2+jA7TUlsAzDSJTRiGkG/MEoFMOPk8d0va4zndixC+edSFvrjbSlP64/0leZRBPyLQWwyFZURSpRF6mFWbLg8kFXYnvdJ9hc/jZiRgwAUBWpxKrilZjpnYVT3aejLlqDiBZGSA3CY8qBLPLrXhNfrAHP7X8GX9V/mdReZBmCufnzMNg6BDlqDusjExERtYOflBlqW4t6yQXZJgzNt6SxN0REA5eqiFBkAeEWi/BlkkBIQ50/BpdNhtdlgtetQICO2tp094zakkgoG8DhqjAEaLBbJJwyyoFTRvX+KdnNdZgNhKJ6Un1moHGGsixAFsV4WZaoCFnkbEmi9giCALfJDYtkgUW0oDpajZpoDSa5pmCodTjeKHsFZaEyAIAOHe9VvIO9vj1YmL8ImqGhLHgYIS0Ir5oLq2xL86NJv72+PVi57ynURKsTbQIEnJp1Os7yzITXkosshfWRiYiIUsFkcgaKaQY+3tWcTJ480s7ZY0REaWJSRJhNXVuELx00LV4bWQBQkK0iP9uUqMEci+kn3pnSSpYEDPaqMGCgrCoCQUC7Cyp2lmE0L8jX8r/WuEBfoqSFGD+oYjGJUOT434QiC1AkAYoc/x2GBn9DhGW5iDpAldTELOXKcAVqozWwSlZcPfRafFD5PrZU/RMG4rPGS4OH8OyBp3Fu7lyMsY9FZbgSYS0Cj+pBlil7QC7OZxgGNpdvxMul66E1zuYGAKtkxWzvHExwnYRccy7rIxMREXUAk8kZ6MtiHwLh5i/601jigogorWxmCUdrencRvq7wBTU0BOKzkXOzTMh1mZjgyzCKLKKocYZyWVUEAgBrJxPKehvJ4lhidjESZS9kSYBZkSCbAbMiwqSIiURxPHEc/106zszjWMxAgLP+iDpMFERkmbJgkSyoDFegJlqDULQOZ+bMxAj7KLxx+BXURGsAABE9gr8eeQN77LsxL+8CBLUADgfDCDbOUh5ItYD9MT9eOLAK/679NKm9wFyIObnnocg6hPWRiYiIOoHJ5AzUssSFzSxi0gh7GntDRESqSYQsCYjGdCh9+EyRqKajpiEGWRRQmKMiP8sEu4WhQKZSZBFFufEaykeqIoAAWNXWCWXDMKDpaJEo1hO/GwYgCk0L5sVfx02lW8wmqVWiuGm2MU8FJ+p9ZsmMQssgWCQrqiNVqIlUI9uUheuGfwebyzdie4uk6W7fLhwOluKCgoUoMBeiPFSOsB5uXJzP1e//hov9xXh2/1OoCJcntU92TcGMnJnINeeyPjIREVEn8dMzA21tkUw+aai9zS+ORETUe8yKCFUWEYkZUNLwyarpBnQ9njDUdQOaYUDXEP/Zol0QAJdNiS+y51KOO4OUModJFjHEa4ahA0dqIvHyE0BSOQpBAESxebE8kyzCahZgScwuPjZZLHKmOlEfJQoiPKoHVtmCylAlaqI1MIww5ubNxyj7aGwoewMBzQ8A8Gt+rDn0Z0xxn4JZOWejLlqLsBZGsHFxPkVU0vxoup9u6Hi/4j2sL12DiN58xpAqqviG92yc5JyIHHMO6yMTERF1AZPJGeZQRQilleHE5dPHOhkIERGlmWoSoSgiQhGtW2rXtk4INyeMdSNe71gzDMBAPFEoCBCE+OJskiBAFAFFFqCKIkQRMEkiTIoAWRKR5ZB5ELKfMSkihuSZAQB1/hgkSYBVFaFIAiyq1KJ2cWP94saSFSIPJhBlLItkRaF1ECwRK6rDlaiKVGKQpQg3DL8Rbx7ZgN2+XYltt9d+igP+YiwsuAgmRUVZsAyhWAg5Zi/scv85wzEQ8+PPJS/iw+qtSe25ai7O9p6LItsQ1kcmIiLqBkwmZ5gPv26elSwKwLRxDIaIiNLN1LjgWH0g1ub1umE0JoPRegZxi0SxES9RC7ExISyJzT8VSYAgi5AkxGeRSvEyB6IoNC6CJkBq3FaS4m3x/+BBxwFAVUQMyzcjFNEhNy56J3N2MVG/JgkSctQcWFvUUhYMEYsLL8WX9Z/j7fK3ErNza6I1eOHgKpzpmYlTs05HVaQKET2MbNWDbJMn4xfnK/EfxHPFz6AsdDip/STnyZjumYFcNZf1kYmIiLoJk8kZpmWJixGFFnhdpjT2hoiImlhVEbpuoKo+2pgwbk4OC0JTohcQxPjsYUkUoIhiIgFsUhrLCySSwUgkiY9NGDM5TG2JL4aX2QkhIuo4q2zDIEmFORyvpVwdrcZYx3gMsQ7F62WvojR4CABgwMA/q/6Bff49WFCwCEEthLLgYYS0EHJUL8ySOc2PpOM0Q8PWqn9hbclLCOmhRLsiKJjpnYXxzpOQo+awPjIREVE34idqBvGHNHyx35e4fNpoB09RJSLqI6xmCR5nvP6kKAKqLEKWRciiAElqrFnbNFtYap41HJ99zPdyIiLqPEmQkWvOTaqlrAgyriq6Bttq/oX3K96DDh0AUBYqw3PFz2BO7nkYYx+H8tDRxoRyDlyKO2MOWAZiAaw/tAYfVL2f1O4xeTDbOwdF1iHwmr1wK1kZ85iIiIgyAZPJGeST3Q3Q9ObLZ0xwpa8zRESUJNuhwGGRErOIiYiIeptddsBstTTWUq5CTbQap2VNxXDbCLx++FVURSoBADEjhr8ffRN7fLsxN28+6mP1iOhhBGNB5Ji9vbI4n27oMGDAMIz4T+jQDQNRLYqQFoQ/pkA0xMR1hmFAb/xZH6vHSwf/iJLAwaTbHOsYh2nZM5Brjpe16E81oYmIiPoKJpMzyNYddYnfvS4FowqtaewNEREdiyUGiIgo3WRRRp45r7GWciVqozWwSTYsG/ptvFf5Dj6u+TCx7T7/Xqw68AzOz7sAhZZBOBI+gpAegtfshVWytZnsjbfp0I+5run3piSxfsx1uqFDMzTohh5PCjfeHoCkRLGu6QgGg6iWqxARIgjGgghqAQS0IIJaECEtgK/qv0RACyQehyRIOMszC2OdY5GjepFrzoVJZH1kIiKinsBkcobQdAMf7mqulzx5pJ0L6xARERERUZscihNmyQJz2IKaSDXqtTrM9p6DkfZR2FD2GnyxePm8oBbEy4fXYaJzEr6RMxvVkWqE9TAUUU5K9jYnhhH/2fTPQFKyGYkkMyAAMBD/Rdd1hLUQwnoYIS2EsB5CSAsh1PSzMVkc1IIIxoIIV4UQv5UTcykunOM9D4Osg+BRvY31kaWeGlYiIqIBj8nkDLGrJIB6v5a4PG2cM429ISIiIiKivk4RFeSb8+O1lMNVqIvUwKt68e1hN+Kto3/DzoavEtt+Uf8ZDgYOYGHBIqiiiogWgSAISPxr+TskRPRIYzI42CIRHEJQCyCkBRHQAi1mFAcQ0SPd/vhG2EZhhucseM05yFFZH5mIiKg3MJmcIbZ93TwrWVVEnDLKkcbeEBERERFRJhAEAS7FDYtkgUU0oyZajaAewMKCRRhtH42/H30TYT0MAKiP1eFPJc/j9KxpcJvcCMQCCCYlhgMINrY1LejXmxRBgUWywi7bMcYxFsNtI+FRPfCac1kfmYiIqJcwmZwhtu1srpc8YagVdgufOiIiIiIiSo1JVFFgKYRVtjbWUq7FUNtwXD/8JrxR9ioOBg4ktv2oZluv9MkiWWGVrLBIlvhP2QqLYIEUleCyuWFTbDBLZphEFapogiiI0AwdMSMKQRDgMeWwPjIREVEvY0YyA1TURrCvLJS4PHUsS1wQEREREVHHCIIAtykLZsmCynAFaqM1iBkxLBm8FJ/Wfox3KzZDM7T2b6gNsiAnksNW2ZqcKE66HP9plswQIEAztKT/sVgUwYYgJFWCKEkQBRGyIAFCvNSGKqqwClbYZQc8qof1kYmIiHoZk8kZoGWJCwHAGRNc6esMERERERFlNLNkRqFlEKyyFVXhKtREq3GS82QMsw3HxqN/x6FACUyiCqvceuZwy4RwPFFsg0WywCSaWt2PbuitksWaoSGgBeDXfBAhQhRFSIIECTIUUYYiK5BkGW6zGyZFhSxKkAQZsiBDEiQoogwREmsjExERpQmTyRlg247mZPLQPDPys1oHakRERERERKkSBRHZJg8skhVVYQtqItWQBRlXFF0FEWK7yVrDMFokiGPwxcLQmpLH0ADDgChI8USxIEKEBFVSIQkSTKIJiqg0Jokbk8WNSWNoQH2sHm6LG7LMr6tERER9DT+d+7hQRMf2vQ2Jy5NH2nkUnoiIiIiIuoVFsqDQMggWyYLqSBVqItWwyXaoogrN0KA3lZ9o8bsOAwIQTxaLEiTEE8GKKEIRFJhEE2RRTkoSyy1mF5/o+0xMj/XegyciIqIOYzK5j9MNA9edX4D3Pq/FrkMBTB/PEhdERERERNR9REGER82BRbKiUqxAbbQWAc0PSZDiCWNIUCUTREGCSTBBkZTGxHDrmcWsYUxERNS/MZncx1lVCZfMzMXC6Tkoqw5jcA5XKiYiIiIiou5nla0YJA2GI+qAbuiNSeLmGcXx5LKY7m4SERFRGjGZnCFMioiheZZ0d4OIiIiIiPoxSZCQZcpOdzeIiIioj+JhZSIiIiIiIiIiIiJqF5PJRERERERERERERNQuJpOJiIiIiIiIiIiIqF1MJhMRERERERERERFRu5hMJiIiIiIiIiIiIqJ2MZlMRERERERERERERO1iMpmIiIiIiIiIiIiI2sVkMhERERERERERERG1K6OSyeFwGHfffTcKCwthsVgwffp0vPXWWyntW1paiiuuuAJutxtOpxOLFy/Gvn37erjHRERERERERERERP1DRiWTr7vuOjz88MO4+uqr8cgjj0CSJCxYsADvv//+Cffz+Xw455xz8O677+KHP/wh7rvvPnz66aeYPXs2qqqqeqn3RERERERERERERJlLTncHUrVt2za8+OKLWLFiBZYvXw4AWLZsGSZOnIi77roLH3zwwXH3ffzxx7F7925s27YNU6dOBQBccMEFmDhxIn71q1/hZz/7Wa88BiIiIiIiIiIiIqJMlTEzk9esWQNJknDTTTcl2sxmM2644QZs2bIFJSUlJ9x36tSpiUQyAIwbNw7nnnsu/vznP/dov4mIiIiIiIiIiIj6g4xJJn/66acYM2YMnE5nUvu0adMAANu3b29zP13X8dlnn+H0009vdd20adOwd+9eNDQ0dHt/iYiIiIiIiIiIiPqTjClzUVZWhoKCglbtTW2HDx9uc7/q6mqEw+F29x07duxx77u8vBwVFRVJbXv27AEAxGIxxGKx1B5EPxOLxaBp2oB9/B3BseoYjlfqOFap41iljmOVOo5V6np7rPicEBERERF1v4xJJgeDQaiq2qrdbDYnrj/efgA6tW+Txx9/HPfdd1+b13322WcDdmazpmkIBAKwWq2QJCnd3enTOFYdw/FKHccqdRyr1HGsUsexSl1vj9X+/fsBAOFwuMfvi06s6TlomowxEMViMTQ0NMDhcECWM+YrWFpwrDqG45U6jlXqOFap41iljmOVut4eq6YYLdW4OWOePYvF0uaDCoVCieuPtx/Q9oC0t2+Tm2++GUuWLElq27RpE2677TYsW7as/c4TERERUVqUlJTg1FNPTXc3BrSmtU0uvvji9HaEiIiIiI4r1bg5Y5LJBQUFKC0tbdVeVlYGACgsLGxzv+zsbKiqmtiuI/s2yc3NRW5ublLboEGDMGTIEBQVFbU563kg2LNnDy6++GK8/PLLGDVqVLq706dxrDqG45U6jlXqOFap41iljmOVut4eq3A4jJKSEsyePbvH74tObPbs2Xj55ZcZN/O9IiUcq47heKWOY5U6jlXqOFap41ilrq/HzRmTTJ4yZQo2b96M+vr6pEX4tm7dmri+LaIo4uSTT8ZHH33U6rqtW7dixIgRcDgcHe6P2+3G4sWLO7xffzRq1CicdNJJ6e5GRuBYdQzHK3Ucq9RxrFLHsUodxyp1vTlWnJHcNzBubsb3itRxrDqG45U6jlXqOFap41iljmOVur4aN4s92I9udfnll0PTNDzxxBOJtnA4jJUrV2L69OkoKioCABw8eBA7d+5ste+HH36YlFD++uuvsWnTplblK4iIiIiIiIiIiIiotYyZmTx9+nQsWbIEP/jBD1BeXo5Ro0bhueeeQ3FxMZ5++unEdsuWLcO7774LwzASbTfffDOefPJJLFy4EMuXL4eiKHj44YeRl5eHO++8Mx0Ph4iIiIiIiIiIiCijZEwyGQBWrVqFe+65B6tXr0ZNTQ0mTZqE119/HbNmzTrhfg6HA++88w6+//3v44EHHoCu6zj77LPx61//Gl6vt5d6T0RERERERERERJS5MiqZbDabsWLFCqxYseK427zzzjtttg8ePBh/+ctfeqhnA5PX68WPf/xjJuRTwLHqGI5X6jhWqeNYpY5jlTqOVeo4VjSQ8fWfOo5Vx3C8UsexSh3HKnUcq9RxrFLX18dKMFrWgyAiIiIiIiIiIiIiakPGLMBHREREREREREREROnDZDIRERERERERERERtYvJZCIiIiIiIiIiIiJqF5PJRERERERERERERNQuJpOJiIiIiIiIiIiIqF1MJlMr4XAYd999NwoLC2GxWDB9+nS89dZb7e63bt06XHnllRgxYgSsVivGjh2LO++8E7W1tT3f6TTp7Fgda+7cuRAEAbfeemsP9LLv6Op4vfTSS5gxYwZsNhvcbjfOPPNMbNq0qQd7nD5dGauNGzfinHPOQU5ODtxuN6ZNm4bVq1f3cI/Tw+fz4cc//jHmz5+P7OxsCIKAZ599NuX9a2trcdNNN8Hr9cJms+Gcc87BJ5980nMdTqOujNXbb7+N66+/HmPGjIHVasWIESPwne98B2VlZT3b6TTp6uuqpRtvvBGCIODCCy/s3k72Id0xXhs3bsScOXPgcrngcDhw2mmn4aWXXuqZDhN1I8bNqWPc3DGMm1PHuDk1jJtTx7g5dYybO6a/xM1MJlMr1113HR5++GFcffXVeOSRRyBJEhYsWID333//hPvddNNN2LFjB6655ho8+uijmD9/Ph577DHMmDEDwWCwl3rfuzo7Vi2tW7cOW7Zs6cFe9h1dGa97770XV111FYqKivDwww/jgQcewKRJk1BaWtoLPe99nR2rV199FfPmzUMkEsG9996Ln/70p7BYLFi2bBl+/etf91Lve09lZSXuv/9+7NixA5MnT+7QvrquY+HChfjjH/+IW2+9Fb/4xS9QXl6Os88+G7t37+6hHqdPV8bq7rvvxjvvvINLLrkEjz76KJYuXYo///nPOOWUU3DkyJEe6nH6dGWsWvroo4/w7LPPwmw2d2Pv+p6ujtfKlSsxb948KIqCn/3sZ1ixYgVmzZqFkpKSHugtUfdi3Jw6xs0dw7g5dYybU8O4OXWMm1PHuLlj+k3cbBC1sHXrVgOAsWLFikRbMBg0Ro4cacyYMeOE+27evLlV23PPPWcAMJ588snu7mradWWsWm4/bNgw4/777zcAGLfccktPdTftujJeW7ZsMQRBMB5++OGe7maf0JWxmjt3rlFYWGiEQqFEWzQaNUaOHGlMmjSpx/qcLqFQyCgrKzMMwzA+/PBDA4CxcuXKlPZ96aWXDADGX/7yl0RbeXm54Xa7jauuuqonuptWXRmrd99919A0rVUbAON///d/u7uradeVsWqi67oxY8YM4/rrrzeGDh1qLFy4sAd62jd0Zbz2799vWCwW47bbbuvBHhL1DMbNqWPc3DGMm1PHuDl1jJtTx7g5dYybO6a/xM2cmUxJ1qxZA0mScNNNNyXazGYzbrjhBmzZsuWERzvOPvvsVm2XXHIJAGDHjh3d3td068pYNfnFL34BXdexfPnynuxqn9CV8frNb36D/Px83H777TAMAz6frze6nDZdGav6+npkZWVBVdVEmyzLyMnJgcVi6dF+p4OqqsjPz+/UvmvWrEFeXh4uvfTSRJvX68UVV1yBV155BeFwuLu62Sd0ZaxmzZoFURRbtWVnZ/fL9/eujFWT1atX44svvsBPf/rTbupV39WV8fr9738PTdNw//33A4if+mcYRnd2j6jHMG5OHePmjmHcnDrGzalj3Jw6xs2pY9zcMf0lbmYymZJ8+umnGDNmDJxOZ1L7tGnTAADbt2/v0O01ncaRk5PTLf3rS7o6VgcPHsRDDz2En//85/0yWDlWV8br7bffxtSpU/Hoo4/C6/XC4XCgoKAAjz32WE92OW26MlZnn302vvzyS9xzzz3Ys2cP9u7di5/85Cf46KOPcNddd/VktzPOp59+ilNPPbVVsDdt2jQEAgHs2rUrTT3LDD6fDz6fr1++v3dVQ0MD7r77bvzwhz/scnDd323cuBHjxo3Dhg0bMHjwYDgcDng8Htxzzz3QdT3d3SM6IcbNqWPc3DGMm1PHuLl3MG7uGsbNx8e4OXV9KW6We/XeqM8rKytDQUFBq/amtsOHD3fo9n7+859DkiRcfvnl3dK/vqSrY3XnnXfilFNOwdKlS3ukf31NZ8erpqYGlZWV+Oc//4lNmzbhxz/+MYYMGYKVK1fie9/7HhRFwXe/+90e7Xtv68pr65577sH+/fvx05/+FA888AAAwGq1Yu3atVi8eHHPdDhDlZWVYdasWa3aW47zySef3Nvdyhi/+c1vEIlEcOWVV6a7K33O/fffD4vFgu9///vp7kqft3v3bkiShG9/+9u46667MHnyZKxbtw4PPPAAYrEYHnzwwXR3kei4GDenjnFzxzBuTh3j5t7BuLlrGDcfH+Pm1PWluJnJZEoSDAaTTvNp0lQEvSMLgvzxj3/E008/jbvuugujR4/utj72FV0Zq82bN2Pt2rXYunVrj/Wvr+nseDWdmldVVYUXX3wx8QF8+eWX4+STT8YDDzzQ74Lirry2VFXFmDFjcPnll+PSSy+Fpml44okncM011+Ctt97CGWec0WP9zjTd+X430Lz33nu47777cMUVV2DOnDnp7k6fsmvXLjzyyCP405/+1Obri5L5fD7ouo6HHnoId999NwDgsssuQ3V1NR555BH88Ic/hMPhSHMvidrGuDl1jJs7hnFz6hg39w7GzZ3HuPn4GDd3TF+Km1nmgpJYLJY26x2FQqHE9an4xz/+gRtuuAHnn39+v61709mxisViuO222/Ctb30LU6dO7dE+9iWdHa+mdkVRkmbqiKKIK6+8EocOHcLBgwd7oMfp05W/w1tvvRWvvfYaXnzxRSxduhRXX301Nm7ciIKCAtx+++091udM1F3vdwPNzp07cckll2DixIl46qmn0t2dPuf222/HmWeeicsuuyzdXckITX9nV111VVL7VVddhWAwiE8//TQd3SJKCePm1DFu7hjGzalj3Nw7GDd3DuPmE2Pc3DF9KW5mMpmSFBQUoKysrFV7U1thYWG7t/Hvf/8bF110ESZOnIg1a9ZAlvvnBPjOjtWqVavw9ddf47vf/S6Ki4sT/4F4vaDi4mIEAoEe63e6dHa8srOzYTab4fF4IElS0nW5ubkA4qf09SedHatIJIKnn34aCxcuTKpnpigKLrjgAnz00UeIRCI90+kM1B3vdwNNSUkJ5s2bB5fLhQ0bNnDG6DE2bdqEN998E7fffnvS+3ssFkMwGERxcTHq6+vT3c0+penvLC8vL6m9v76/U//CuDl1jJs7hnFz6hg39w7GzR3HuPnEGDd3XF+Km5lMpiRTpkzBrl27Wv3RNp1WNmXKlBPuv3fvXsyfPx+5ubnYsGED7HZ7T3U17To7VgcPHkQ0GsVZZ52F4cOHJ/4D8YB5+PDh+Pvf/96jfU+Hzo6XKIqYMmUKKioqWgV0TTXQvF5v93c4jTo7VlVVVYjFYtA0rdV10WgUuq63ed1ANWXKFHzyySetFivYunUrrFYrxowZk6ae9U1VVVWYN28ewuEw/va3v7VZn3Cga5rtdemllya9v5eWlmLTpk0YPnw4nnnmmTT3sm857bTTAAClpaVJ7f31/Z36F8bNqWPc3DGMm1PHuLl3MG7uGMbN7WPc3HF9KW5mMpmSXH755YlaUU3C4TBWrlyJ6dOno6ioCED8D3/nzp1J+x45cgTz5s2DKIr429/+1u8ClWN1dqyWLl2K9evXt/oPAAsWLMD69esxffr03n0wvaArr60rr7wSmqbhueeeS7SFQiG88MILmDBhQr87Et7ZscrNzYXb7cb69euTvkD4fD689tprGDdu3IA9Ba2srAw7d+5ENBpNtF1++eU4evQo1q1bl2irrKzEX/7yFyxatGjA1u1qa6z8fj8WLFiA0tJSbNiwoV/W8+yMY8dqzpw5bb6/e71enH766Vi/fj0WLVqU5l6nT1uvraZ6nk8//XSiTdd1rFy5EtnZ2YmgmagvYtycOsbNHcO4OXWMm7sf4+bUMW5OHePmjunrcXP/PI+KOm369OlYsmQJfvCDH6C8vByjRo3Cc889h+Li4qQX7LJly/Duu+/CMIxE2/z587Fv3z7cddddeP/99/H+++8nrsvLy8PcuXN79bH0tM6O1bhx4zBu3Lg2b3P48OG4+OKLe6P7va4rr63vfve7eOqpp3DLLbdg165dGDJkCFavXo0DBw7gtddeS8fD6VGdHStJkrB8+XL8v//3/3DGGWdg2bJl0DQNTz/9NA4dOoTnn38+XQ+pRz322GOora1NHJF97bXXcOjQIQDA9773PbhcLvzgBz/Ac889h/3792PYsGEA4kHxGWecgW9/+9v46quvkJOTg8cffxyapuG+++5L18PpUZ0dq6uvvhrbtm3D9ddfjx07dmDHjh2J27Tb7f3yfaszYzVkyBAMGTKk1W3dcccdyMvL65fj1KSzr63Fixfj3HPPxYMPPojKykpMnjwZL7/8Mt5//3384Q9/GLBfTikzMG5OHePmjmHcnDrGzR3DuDl1jJtTx7i5Y/pF3GwQHSMYDBrLly838vPzDVVVjalTpxpvvvlm0jazZ882jn35ADju/9mzZ/fiI+g9nR2rtgAwbrnllp7qap/QlfE6evSoce211xrZ2dmGqqrG9OnTW+3bn3RlrF544QVj2rRphtvtNiwWizF9+nRjzZo1vdX1Xjd06NDjvvfs37/fMAzDuPbaa5MuN6murjZuuOEGw+PxGFar1Zg9e7bx4Ycf9v6D6CWdHasT7Td06NC0PJae1pXXVVu3tXDhwp7vdBp1ZbwaGhqM22+/3cjPzzdMJpNx8sknG88//3zvPwiiTmDcnDrGzR3DuDl1jJtTx7g5dYybU8e4uWP6Q9wsGEaLw5hERERERERERERERG1gzWQiIiIiIiIiIiIiaheTyURERERERERERETULiaTiYiIiIiIiIiIiKhdTCYTERERERERERERUbuYTCYiIiIiIiIiIiKidjGZTERERERERERERETtYjKZiIiIiIiIiIiIiNrFZDIRERERERERERERtYvJZCIiIiIiIiIiIiJqF5PJRERERERERERERNQuJpOJiIiIiIiIiIiIqF1MJhMRERERERERERFRu5hMJiI6hiAIKf1/55130t3VtPvggw9w7733ora2Nt1dSVJSUpLy87hv3750d5eIiIgoIzFuTh3jZiLqL+R0d4CIqK9ZvXp10uVVq1bhrbfeatU+fvz43uxWn/TBBx/gvvvuw3XXXQe3253u7iSoqpr0fAWDQdx0000455xzcP311yfaBUHAiBEj0tFFIiIioozHuDl1jJuJqL9gMpmI6BjXXHNN0uV//etfeOutt1q190d+vx82my3d3ehyP3Jzc5Oer48++ggAsHDhwgHxPBIRERH1BsbNjJuJaOBhmQsioi4qLS3F9ddfj7y8PKiqipNOOgnPPPNM0jb33nsvBEHArl27cM0118DlcsHr9eKee+6BYRgoKSnB4sWL4XQ6kZ+fj1/96ldt7r9z505cccUVcDqd8Hg8uP322xEKhbrUp6+++grf/OY3kZWVhZkzZwIADhw4gJtvvhljx46FxWKBx+PBkiVLUFxcnLT/f//3fwMAhg8fnjj9rbi4GNdddx2GDRvWql9N95lqP1J9LO357LPPAAAnn3xyh/YjIiIiou7DuJlxMxFlPs5MJiLqgqNHj+KMM86AIAi49dZb4fV68de//hU33HAD6uvrcccddyRtf+WVV2L8+PF46KGH8MYbb+CBBx5AdnY2/vCHP2DOnDn4+c9/jhdeeAHLly/H1KlTMWvWrKT9r7jiCgwbNgwPPvgg/vWvf+HRRx9FTU0NVq1a1ek+LVmyBKNHj8bPfvYzGIYBAPjwww/xwQcfYOnSpRg8eDCKi4vxu9/9DmeffTa++uorWK1WXHrppdi1axf+9Kc/4de//jVycnIAAF6vt1Nj2VY/OvpYjqcpKJ40aVKn+kZEREREXcO4mXEzEfUTBhERndAtt9xiHO/t8oYbbjAKCgqMysrKpPalS5caLpfLCAQChmEYxo9//GMDgHHTTTcltonFYsbgwYMNQRCMhx56KNFeU1NjWCwW49prr020Ne1/0UUXJd3PzTffbAAw/v3vf3e6T1dddVWrx9W0TUtbtmwxABirVq1KtK1YscIAYOzfvz9p22uvvdYYOnRoq9tous+22trqR6qPpT3nnHOO4fV6U9qWiIiIiDqHcXMc42Yi6s9Y5oKIqJMMw8DatWuxaNEiGIaBysrKxP/zzz8fdXV1+OSTT5L2+c53vpP4XZIknH766TAMAzfccEOi3e12Y+zYsW2ulnzLLbckXf7e974HANiwYUOn+/Qf//Efre7HYrEkfo9Go6iqqsKoUaPgdrtb7d9dju1HZx7L8Xz++eecXUFERESUJoybuxfjZiJKJ5a5ICLqpIqKCtTW1uKJJ57AE0880eY25eXlSZeHDBmSdNnlcsFsNidOdWvZXlVV1er2Ro8enXR55MiREEUxUZOtM30aPnx4q22CwSAefPBBrFy5EqWlpYnT5wCgrq6uzdvtqmP70ZnH0paysjJUVlay7hsRERFRmjBu7l6Mm4konZhMJiLqJF3XAcRXsb722mvb3ObYo/qSJLXapq02AEmB6PEcuyhHZ/rUcjZFk+9973tYuXIl7rjjDsyYMQMulwuCIGDp0qWJ++hIv5pomnbcfY7tR2ceS1tY942IiIgovRg3p96vJoybiaivYjKZiKiTvF4vHA4HNE3Deeed1yv3uXv37qSZCHv27IGu64kVoLurT2vWrMG1116btDp2KBRCbW1t0nbHC36zsrJabQvEV7tOVXc9ls8//xwAg2IiIiKidGHczLiZiPoP1kwmIuokSZJw2WWXYe3atfjiiy9aXV9RUdHt9/l///d/SZd/+9vfAgAuuOCCbu2TJEmtZnj89re/bTVDwmazAUCrAHjkyJGoq6tLzG4A4qfNrV+/PqX7b+pDdzyWzz77DJIkYcKECSnfNxERERF1H8bNjJuJqP/gzGQioi546KGHsHnzZkyfPh033ngjJkyYgOrqanzyySfYuHEjqquru/X+9u/fj4suugjz58/Hli1b8Pzzz+Ob3/wmJk+e3K19uvDCC7F69Wq4XC5MmDABW7ZswcaNG+HxeJK2O+200wAA//u//4ulS5dCURQsWrQIS5cuxd13341LLrkEt912GwKBAH73u99hzJgxHVqIpDsey2effYZRo0a1eVoiEREREfUOxs2Mm4mof2AymYioC/Ly8rBt2zbcf//9WLduHR5//HF4PB6cdNJJ+PnPf97t9/fSSy/hRz/6Ef7nf/4Hsizj1ltvxYoVK7q9T4888ggkScILL7yAUCiEs846Cxs3bsT555+ftN3UqVPxk5/8BL///e/x5ptvQtd17N+/H8OGDcP69evxX//1X7jrrrswfPhwPPjgg9i9e3eHguKuPpZYLIYdO3Zg8eLFKd8nEREREXU/xs2Mm4mofxCMVCrVExFRWt1777247777UFFR0WoFayIiIiIiimPcTETUs1gzmYiIiIiIiIiIiIjaxWQyEREREREREREREbWLyWQiIiIiIiIiIiIiahdrJhMRERERERERERFRuzgzmYiIiIiIiIiIiIjaxWQyEREREREREREREbWLyWQiIiIiIiIiIiIiaheTyURERERERERERETULiaTiYiIiIiIiIiIiKhdTCYTERERERERERERUbuYTCYiIiIiIiIiIiKidjGZTERERERERERERETtYjKZiIiIiIiIiIiIiNrFZDIRERERERERERERtYvJZCIiIiIiIiIiIiJqF5PJRERERERERERERNSu/w/G2L2ha3v5XgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n", "\n", "axes[0].plot(temperatures, avg_m_plot, color=PALETTE['mag'], lw=2)\n", "axes[0].fill_between(temperatures, avg_m_ci_low_plot, avg_m_ci_high_plot, color=PALETTE['mag'], alpha=0.2)\n", "axes[0].set_xlabel('Temperature $T$')\n", "axes[0].set_ylabel(r'$|M|$')\n", "axes[0].set_title('Order parameter')\n", "axes[0].grid(alpha=0.25)\n", "\n", "axes[1].plot(temperatures, avg_e_plot, color=PALETTE['eng'], lw=2)\n", "axes[1].fill_between(temperatures, avg_e_ci_low_plot, avg_e_ci_high_plot, color=PALETTE['eng'], alpha=0.2)\n", "axes[1].set_xlabel('Temperature $T$')\n", "axes[1].set_ylabel(r'Energy per spin $E$')\n", "axes[1].set_title('Energy density')\n", "axes[1].grid(alpha=0.25)\n", "\n", "fig.suptitle(f'$q = {Q_DEFAULT}$ clock model temperature sweep: mean observables', y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "13afd4af", "metadata": {}, "source": [ "## Susceptibility and Specific Heat\n", "\n", "The susceptibility $\\chi$ and specific heat $C_v$ for the $q = 6$ clock model can show two distinct humps corresponding to the two BKT-like crossovers, although finite-size effects and the smoothness of the BKT mechanism often cause these features to merge into a single broadened peak at small lattice sizes. The lower-temperature feature reflects the discrete locking transition where spins commit to their nearest clock axis, while the upper feature corresponds to vortex unbinding [[1]](#Bibliography) [[2]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 6, "id": "7f178fba", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n", "\n", "axes[0].plot(temperatures, susc_plot, color=PALETTE['chi'], lw=2)\n", "axes[0].fill_between(temperatures, susc_ci_low_plot, susc_ci_high_plot, color=PALETTE['chi'], alpha=0.2)\n", "axes[0].set_xlabel('Temperature $T$')\n", "axes[0].set_ylabel(r'Susceptibility $\\chi$')\n", "axes[0].set_title('Magnetization fluctuations')\n", "axes[0].grid(alpha=0.25)\n", "\n", "axes[1].plot(temperatures, spec_h_plot, color=PALETTE['cv'], lw=2)\n", "axes[1].fill_between(temperatures, spec_h_ci_low_plot, spec_h_ci_high_plot, color=PALETTE['cv'], alpha=0.2)\n", "axes[1].set_xlabel('Temperature $T$')\n", "axes[1].set_ylabel(r'Specific heat $C_v$')\n", "axes[1].set_title('Energy fluctuations')\n", "axes[1].grid(alpha=0.25)\n", "\n", "fig.suptitle(f'$q = {Q_DEFAULT}$ clock model: critical fluctuations', y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "afef590a", "metadata": {}, "source": [ "## Entropy\n", "\n", "The relative entropy is reconstructed by thermodynamic integration of $C_v(T)/T$ from the highest sampled temperature downward. For the $q$-state clock model, the entropy at infinite temperature approaches $\\ln q$ per site. At low temperature the entropy is reduced by the discrete symmetry breaking; the residual configurational freedom comes from vibrational (spin-wave) excitations around the chosen clock axis. Comparing the low-temperature plateau with the $\\ln q$ limit gives a measure of how much entropy the locking transition has removed." ] }, { "cell_type": "code", "execution_count": 7, "id": "bb3d87d2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7.5, 4.8))\n", "\n", "ax.plot(temperatures, entropy_plot, color=PALETTE['entropy'], lw=2)\n", "ax.fill_between(temperatures, entropy_ci_low_plot, entropy_ci_high_plot, color=PALETTE['entropy'], alpha=0.2)\n", "ax.axhline(S_REF, color='0.5', ls=':', lw=1.2, label=rf'$\\ln {Q_DEFAULT} = {S_REF:.3f}$')\n", "ax.axhline(0.0, color='0.4', ls='--', lw=1.0, label=r'Reference at highest sampled $T$')\n", "ax.set_xlabel('Temperature $T$')\n", "ax.set_ylabel(r'Relative entropy $S(T) - S(T_{\\max})$')\n", "ax.set_title(f'Entropy from thermodynamic integration ($q = {Q_DEFAULT}$ clock model)')\n", "ax.grid(alpha=0.25)\n", "ax.legend(fontsize=9)\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c74c176b", "metadata": {}, "source": [ "## Critical Slowing Down\n", "\n", "The integrated autocorrelation time $\\tau_{\\mathrm{int}}$ rises near both crossover temperatures. Near the upper crossover the slowing mechanism is the same as in the XY model: large-scale vortex fluctuations become hard to decorrelate with local updates. Near the lower crossover the slowing is caused by domain walls between regions locked to different clock axes. The effective sample size $N_{\\mathrm{eff}} \\sim N_{\\mathrm{meas}} / (2\\tau_{\\mathrm{int}})$ drops accordingly, and flagged points indicate temperatures where the autocorrelation estimate is undefined or unreliable [[3]](#Bibliography) [[4]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 8, "id": "3ad5e188", "metadata": {}, "outputs": [ { "data": { "image/png": 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4lpqaivr16+usU6lUyMzMNDqopjk/Q8dSKpXIyMhAvXr19LY3pd+AmtN35ansuZn6/issLERqamqZo4/Pnz+P5ORkDBs2rNzjfPPNN1IQ1RiRkZE6k5g9qHHjxgDKDtxrgtsPjvY0xJTPirKY+nxUps4hQ4agcePG+OCDD9CnTx/s3LnTpD/ImFNlXn+Vff/m5uYaNXFkZZjaJnN/V1THdw8RERFVzLipjYmIiKhKXnjhBdja2mL9+vW4ePFiudtWdXSV5pZjlUpl0n6dOnUCAPz5558VbhsXFwcAGD58uN66ffv2mVRvRdzd3TFw4ED8+OOPGDt2LLKysrB///5y99EE8/bu3au3Li4uDomJiQgLC9MJrmluh9+9ezf+/vtvdOnSBQ4ODtK6rKwsLFq0CHfv3q30rfPG0LT94MGDeuuOHDkCpVJp9LE0ozINPScHDx7Ue41Upt+AmtN35ansuZlKLpdDLpdLo0UfNGvWLACocMTsN998g5kzZxr9b9OmTeUer0+fPpDJZLh48aLBEd/nz58HAISFhVV4jqZ8VpTF1OejsnVOnToVX3/9NU6dOoWePXsiNTW10m2uisq8/kx9/2r66MCBA2ZqtT5T22Tqd0VF31/V+d1DREREZWNAmYiIqBqEhoZixowZKC4uxqBBgxATE2Nwu7/++qtKeUmB+yMNZTIZbt68adJ+r732GhQKBf773/8aDHpr5wPV3DL/YHBk+/btWLJkicltftCePXsghNArT0tLA3D/Fv3yjBs3DgAwe/ZspKenS+UqlQpvv/021Gq13kjxNm3awM3NDZs3b8aFCxd0Ap+aFA2ffPKJzrIlPP/88wCAjz/+WLq9HACKi4vxwQcfmHQszQi+jz/+GFlZWVJ5YWEhpk6dqrd9ZfoNqDl9V57KnpupbG1tER4ejps3b2LPnj1SuRACs2bNwq+//goA5eZPBu7nUBb3J9A26t/y5cvLPV5ISAiGDBmCmzdv4ttvv9VZt2PHDmzfvh3u7u7o379/hedoymdFWUx9PqpS55QpU7Bo0SJcuHABUVFRSE5OrrB95laZ15+p79+JEyfC1tYWb775Jq5cuaK3vri4uMrBZlPbZOp3RUXfX5b+7iEiIiLjMOUFERFRNfnggw+gVCoxc+ZMtG/fHl26dEG7du3g7OyM1NRU7N+/H1evXq0wP3BFnJ2d0bFjRxw4cADPPvssGjVqBLlcjieeeAItW7Ysc79mzZph4cKFePXVV9G6dWsMHToU4eHhyMzMxPHjx+Hq6ioFyCZMmIBly5Zh5MiRGDFiBAICAnD+/Hn89ddfeOqpp7B27doqncOTTz4JZ2dndOrUCaGhoRBC4MCBAzh+/Djatm2Lxx57rNz9u3TpgnfffReff/45mjdvjhEjRqBOnTr4888/cf78eXTr1g3vvPOOzj5yuRw9e/bE5s2bAUAnKBoSEoIGDRrg2rVrkMvlBiekMpeoqCiMHz8eP/zwAyIiIjB8+HDY2tpiy5YtcHNzQ0BAAGxsjBsT0LVrV0yaNAnz58+X+sHW1habN2+Gh4eHXj7XyvQbUHP6rjyVPbfKePfddzFu3DgMGjQITz/9NDw9PbFr1y7k5eWhWbNmuHjxYpVy+lbWd999h1OnTuGtt97CH3/8gdatWyM+Ph6bNm2CXC7HkiVLyswJrM2Uz4qymPp8VLXOV199FQ4ODnjxxRfRo0cP/P333wgODja+86qoMq8/U9+/TZo0wdKlSzFu3DhERESgf//+aNSoEUpKSnDz5k0cOHAAdevWxaVLlyp9Hqa2ydTvioq+vyz93UNERERGEkRERFStLl68KCZOnCgiIiKEi4uLsLW1FX5+fqJ///5iyZIlorCwUAghRHx8vAAgxowZU+axytrm6tWrYvDgwcLT01PIZDIBQCxbtsyo4x46dEgMGzZM1K1bV9ja2gp/f3/Rr18/8euvv+ps988//4hevXoJd3d34ezsLLp27So2btwo9uzZIwCI6dOnV9jOsixatEhER0eLsLAw4ejoKDw8PERkZKT47LPPxJ07d4w+7urVq0XXrl2Fs7OzsLe3F82aNROzZ88WBQUFBrefN2+eACBcXV2FUqnUWTd+/HgBQHTo0EFvv7LaUVH7oqKihKHLMZVKJb766ivRuHFjYWdnJ/z9/cWECRNETk6OcHZ2Fq1atTJ4PEPUarWYP3++aNKkid6xQkJCREhIiN4+pvabEObvO42y+qgsFW1v7LmZ+pp90JdffilCQ0OFnZ2dCA0NFW+//bbIzs4WXl5ews/Pr1LHNIe0tDQxceJEERwcLGxtbYWXl5eIjo4WR48eNflYxnxWmPs9WtU6f/nlF6FQKERISIi4du1auedXUdsBiKioKIPrzPXeqsz79+zZs2LMmDEiODhY2NnZCQ8PDxERESHGjx8vdu/ebdI5mqNNpnxXCFH+91dljkdERETmJxPCwP2kRERERFTjXL16FY0aNcLo0aOxevVqazeHTHTr1i0EBwdj4MCB+OOPP6zdHCIiIiKiSmEOZSIiIqIa5vbt23oTp927dw9TpkwBcD8lCNU+p06dAlDxhHxERERERDUZcygTERER1TDffPMNVq9ejZ49e8Lf3x+3b9/G7t27kZiYiAEDBmDkyJHWbiJVgiagXNGEfERERERENRkDykREREQ1zOOPP44zZ85gx44dyMrKgkKhQKNGjfDGG29gypQpkMlk1m4iVQJHKBMRERHRw4A5lImIiIiIiIiIiIjIKMyhTERERERERERERERGYUCZiIiIiIiIiIiIiIzCgDIRERERERERERERGYUBZSIiIiIiIiIiIiIyCgPKRERERERERERERGQUBpSJiIiIiIiIiIiIyCgMKBMRERERERERERGRURhQJiIiIiIiIiIiIiKjMKBMREREREREREREREZhQJmIiIiIiIiIiIiIjMKAMhEREREREREREREZhQFlIiIiIiIiIiIiIjIKA8pEREREREREREREZBQGlImIiIiIiIiIiIjIKAwoExEREREREREREZFRGFAmIiIiIiIiIiIiIqMwoExERERERERERERERmFAmYiIiIiIiIiIiIiMwoAyERERERERERERERmFAWUiIiIiIiIiIiIiMgoDykRERERERERERERkFAaUiYiIiIiIiIiIiMgoDCgTERERERERERERkVEYUCYiIiIiIiIiIiIiozCgTERERERERERERERGYUCZiIiIiIiIiIiIiIzCgDIRERERERERERERGYUBZSIiIiIiIiIiIiIyCgPKRERERERERERERGQUBpSJiIiIiIiIiIiIyCgMKBMRERERERERERGRURhQJiIiIiIiIiIiIiKjMKBMREREREREREREREZhQJmIiIiIiIiIiIiIjMKAMhEREREREREREREZhQFlIiIiIiIiIiIiIjIKA8pEREREREREREREZBQGlImIiIiIiIiIiIjIKAwoExEREREREREREZFRGFAmIiIiIiIiIiIiIqMwoExERERERERERERERmFAmYiIiIiIiIiIiIiMwoAyERERERERERERERmFAWUiIiIiIiIiIiIiMgoDykRERERERERERERkFAaUiYiIiIiIiIiIiMgoDCgTERERERERERERkVEYUCYiIiIiIiIiIiIiozCgTERkBJlMhp49e+qUzZgxAzKZDHv37q30tlWxfPlyyGQyLF++3GzHJCIiIjKHhIQEyGQyjB071tpNqXa18dz37t0LmUyGGTNmmOV4q1evRuvWreHi4gKZTIYpU6aY5bi1Tc+ePSGTyazdDCIis2NAmYhqFJlMVuE/cwZliYiIiB41mmsqevhYYhCDqQ4fPoxnn30WeXl5eO211zB9+nT079/fau2xpLFjx0ImkyEhIcHaTXloGBqcQ1Vj7j8YEQGAwtoNICIyZPr06WWuCw0Nrb6G/E9sbCycnJzMvm1VPPnkk+jUqRP8/f0tXhcRERERPbw6dOiA2NhYeHt7V/lYf/zxB4QQ+Omnn9ClSxcztK72+umnn3Dv3j1rN4OIyOwYUCaiGqmm/fW0SZMmFtm2Ktzc3ODm5lYtdRERERHRw8vJycls17DJyckAgICAALMcrzYLDg62dhOIiCyCKS+IqNZLTU3Fiy++CF9fXzg6OiIyMhIrVqwo89ae0NDQMkc5m5IXuSwVbbtixQq0bt0ajo6O8PHxwbhx43D79m297TQ514qLizFr1iw0btwY9vb2Uj6+snIol1e/odvytPP8Xbt2DSNGjICXlxdcXFzQt29fnD9/HgCQnp6O8ePHw9/fHw4ODmjfvj327NljVJ9Yqh6lUomFCxeiU6dOcHV1hZOTE1q3bo0FCxZArVZbvP7c3FxMnToVjRs3hoODAzw8PNCvXz/s2rVLb1vt1+OxY8cwaNAgeHp6QiaT4dq1awgKCoKrqyvy8/MN1jVp0iTIZDL89ttvRvc5ERGRsbS/JxMSEjB69Gh4e3vDwcEB7dq1w9atWw3ul5eXh7feegv16tWDg4MDmjRpgq+++krve1jbvXv38MknnyAyMhJ16tSBs7MzOnfujNWrV+ttq/39efjwYTz22GNwc3ODi4sL+vXrh5iYGIN1VPYaoaae++nTpzFo0CC4u7vDyckJUVFROHTokM72oaGhmDlzJgCgV69eOinjKlLWdbPmelSpVGLOnDkIDw+Hvb09goKC8N5776G4uFjaVnNtumzZMgBAWFiYVL/2teeJEycwfPhw+Pj4wN7eHiEhIZgwYQJSUlL02qW5dr1+/Trmz5+Pli1bwtHRUbrW1ayPj4/HggUL0KxZMzg4OCA0NBRz5syBEAIA8Ouvv6JDhw6oU6cOfHx8MHHiRBQUFOjVt2nTJvzrX/9Co0aNUKdOHdSpUwdt27bFvHnz9J5XmUyGFStW6J2r9u+MsnIoq9VqLF68GO3bt4ezszPq1KmD9u3bY9GiRQZfP5rr+4yMDOk61d7eHhEREVJ/G0vzWyg3NxcTJ05EYGAgHBwc0KxZM8ybN0/qswcdPXoUI0aMgJ+fH+zs7BAUFIRXXnlF+gOCtop+xxiief0AwL59+3Revw++LivTlpKSEsyaNQsNGjSAg4MDGjdujB9//FHabvHixWjRogUcHR1Rr149TJ8+vdzPikuXLiE6Ohqenp6oU6cOunXrhh07dpR5fqtXr0avXr3g7u4OBwcHNG3aFLNnz0ZRUZHetprn+/bt23jppZcQGBgIuVwu/e67cuUK3n//fbRr1w5169aV3kfjx49HYmKizrHGjh2LXr16AQBmzpxpMJVkealyysoJX9F7EwCysrIwdepUNG3aFI6OjnBzc0OfPn3K7SeqPThCmYhqtYyMDHTp0gXXr19Ht27d0K1bN6SkpODVV19F3759rd08PV9//TV27NiBUaNGoX///jh48CCWLVuGvXv34ujRo6hbt67ePsOHD8fx48cxYMAAREdHw8fHxyJtS0hIQMeOHdG0aVPpB9XGjRvRs2dPHD58GP3794erqytGjRqFrKwsrFmzBgMGDMCVK1dMGn1hrnpKSkowZMgQbN++HY0bN8YzzzwDBwcH7NmzB5MmTcLRo0fx888/W6z+nJwcdO3aFRcvXkT79u0xZcoUZGRkYN26dejbty8WLVqEV155Ra/+w4cP45NPPkG3bt0wbtw4ZGRkwNHRES+//DKmT5+O1atX4+WXX9bZp6CgACtXroSfnx+GDh1qdF8TERGZ6saNG+jQoQPq16+P5557DllZWVi7di2GDh2KXbt2SYEJACgqKkKfPn1w/PhxtGrVCs8++yxycnLw3//+F/v27TN4/JycHPTu3RunTp1CmzZtMG7cOKjVamzfvh3PPPMMLly4gNmzZ+vtd/ToUXzyySd47LHH8PrrryMuLg4bNmzA/v37sWPHDnTv3l3atrLXCDX13GNiYvD555+jc+fOeOmll3Dz5k2sX78effr0wenTp9G4cWMAwJQpU7Bp0ybs27cPY8aMMWuauGeeeQYHDhzAgAED4Orqim3btuHzzz9HWlqaFNCMjIzE9OnTsWnTJpw5cwaTJ0+Gu7s7AEj/b926FcOHD4cQAiNGjEBISAhOnDiBRYsWYfPmzTh48CDCwsL06p88eTIOHDiAQYMGYeDAgZDL5Trr3377bezduxdDhgxB37598fvvv+PDDz9EcXExPD098f777yM6Ohrdu3fHzp078d1330GlUmHRokU6x3n//fdhY2ODjh07IjAwELm5ufj7778xefJkHD9+XOd1U9G5lue5557DL7/8gqCgILz00kuQyWTYuHEjJkyYgIMHD2LVqlV6+2iuPe3s7DBixAgUFRXh119/xbhx42BjY4MxY8ZUWK9GcXExHnvsMeTk5GD06NEoLi7G+vXrMXnyZFy+fBnfffedzvZLly7F+PHjYW9vjyeeeAJBQUG4evUqlixZgi1btuDIkSMGfw+Y8jtG8/qZOXMmQkJCdAKY2kHKyrZl9OjROHr0KAYOHAhbW1v89ttvGD9+PGxtbXH27FmsWLECgwcPRp8+ffD7779j1qxZcHJywnvvvad3rPj4eHTu3BktWrTAK6+8gpSUFKxduxYDBgzAL7/8glGjRulsP27cOCxbtgz16tXD8OHD4e7ujiNHjmDatGnYvXs3du7cCYVCNzyXlZWFTp06wdnZGcOGDYONjQ18fX0BABs2bMDixYvRq1cvdOnSBXZ2drhw4YLUBzExMQgMDAQAREdHA7g/qCkqKkqnL83xGVHWe/PGjRvo2bMnEhIS0L17d/Tv3x93797F1q1b0b9/f3z//fd6v3molhFERDUIAAFATJ8+3eC/Tz75RGf7l19+WQAQU6ZM0Sk/fvy4UCgU0rG0hYSEiJCQEIP1T58+XQAQe/bs0WtXVFRUlbe1tbUVJ0+e1Fk3ZcoUAUCMGzdOpzwqKkoAEC1atBDp6el6bV22bJkAIJYtW1Zh/RpjxowRAER8fLxUFh8fL/X77NmzdbafNWuWACA8PDzEK6+8IlQqlbTup59+Mtj3ZTF3PZo+nThxolAqlVK5UqkU48aNEwDEpk2bLFb/+PHjBQAxfvx4oVarpfIrV64IV1dXYWdnp9PPe/bskepfvHixXv8kJycLhUIh2rZtq7dO81x/8MEHeuuIiIhMpfk+0qb9PTljxgyddX/99ZcAIAYMGKBT/vHHHwsAYtiwYTrfndevXxceHh4CgBgzZozOPpprkc8++0ynvKCgQPTr10/IZDJx6tQpqVz7+3P+/Pk6+2zatEkAEA0bNtSpvyrXCDX13B+83lu8eLEAIF577TWd8rKuTyuiqevB62bN9WibNm1EZmamVJ6fny8aNGggbGxsREpKisHz1L4OEkKIvLw84enpKWxsbMT+/ft11n366acCgHj88ccNHisgIEBcv35dr92a9SEhISIxMVEqz87OFl5eXsLJyUl4e3uLixcvSusKCwtF06ZNhZ2dnUhNTdU5XlxcnF4dKpVKPP/88wKAOHLkiFHnqqHpP22//PKLACBat24t8vLypPL8/HzRtm1bAUCsWrVKZx/N6+DFF1/UeU1fuHBByOVy0bRpU4P1GxISEiIAiK5du4rCwkKpPDMzU9SvX18AEPv27ZPKL1++LGxtbUWDBg10+lgIIXbt2iVsbGxEdHS0wfMu63dMecr7LVOVtrRr105kZ2dL5deuXRO2trbC3d1dhIaGGnz9eHt7i5KSEqlc+7Pi7bff1qlH8/vT3d1d5ObmSuWa6/gnn3xS3Lt3T2cfzfv1m2++0esDAOK5557TqV8jMTFR57nT2L59u7CxsRGvvvqqTnlZ7+8H22Hoc0NzzmV9npX13oyKihIymUysXr1apzw7O1u0atVKODg4iNu3bxtsD9UODCgTUY2i+fIs65+bm5u0bXFxsXBychIuLi4iJydH71iaL7maFFB+MGgshBA5OTnCzc1NODg46FwYaC5+tH/waDN3QDk0NFTnAlUIIW7cuCEACCcnJ3Hnzh2ddUqlUigUCtGzZ0+DdT3InPWoVCrh6ekp/Pz8DF5kZWdnC5lMJkaOHGmR+ouKioSTk5NwdnbW+XGl8Z///EcAEDNnzpTKNBdykZGRZfbRiBEjBAARExOjU96pUydhY2NT5o8VIiIiU5QXUA4JCdH7nhRCiODgYOHl5aVT1rBhQ2FjY2MwCKe59tEOQmRkZAi5XC7atWtnsF2nT58WAMQ777wjlWm+Px8MGmtorpf27t0rhKjaNUJNPfeuXbvqbV9cXGzwD9GWCijv3LlTb5+PPvpIABBbtmzRKS8ryLpy5UoBQDz99NN6xyopKRGhoaECgLhx44besR4MuD24fsmSJXrrXnjhBQFATJs2TW/djBkzdF43FTlx4oTetZ12/aYElB977DEBQGzfvl1v+127dgkAolevXjrlmutU7UClRo8ePQQAneB0eTQB5QeD+kKU/r4YO3asVKYZ/LJ161aDx4uOjhZyuVznGrqi3zHlKe+3TFXasmvXLr3te/XqJQCI//u//9NbN3bsWAFAJCQkSGWazwo3Nze93wxClL4eli9fLpVFRkYKhUKhE8zWUCqVwsvLS7Rv316nHIDBP3gYo0WLFiIsLEynzJIBZUPvTc3n2YgRIwzWp/lj4HfffWfUOVHNxJQXRFQjiTJyd2m7dOkS7t27h+7duxucnK5nz55SXrOaIioqSq/Mzc0NkZGR2LdvH2JjYxEZGamzvkOHDtXStsjISL3bBzWTqTRq1AguLi466+RyOXx9ffXydFVHPVeuXEFWVhbCw8MN3hoKAI6OjoiNjbVI/ZcvX8a9e/fQtWtXeHp66tXRu3dvzJ49G6dOndJbV97zOWHCBPz222/4/vvv8cMPPwAAzp07hyNHjmDAgAFmvXWViIjIEEPfkwAQFBSEw4cPS8t5eXmIi4tDUFAQGjRooLd9z549pXy+GsePH4dKpTKYExW4n6oCgMHv7+7du8PGRn8KoJ49e2Lfvn04deoUoqKizH6NAFj/3Nu1a6dXZmtrC19fX2RnZ+ufoAUYakNQUBAAGN2GkydPArh/nfQghUKBHj16ICEhAadOndJLWVDR9bCh9mmu79q2bau3TpMO4MHr2MzMTMydOxfbtm3D9evXcffuXZ31SUlJ5bbDGCdPnoSNjY3BOU+ioqIgl8sNXkOGh4fD1dVVr1z7eXB2djaqDQqFAl26dNEr17RJu37Na3/fvn04fvy43j5paWlQqVS4cuWKXl+b+3dMVdpSlddISEiIzro2bdro/WYASn9/njp1CmPGjMG9e/dw5swZeHt745tvvjF4Tvb29gbf96GhoWWmCBFCYNWqVVi+fDnOnDmD7OxsqFQqab2dnZ3B/SzB0HOseZ5yc3MNft6lp6cDMPx5R7UHA8pEVGvl5uYCgJRL6kF+fn7V2RyjVNRWzTkZWmdphoLymlxehtZp1mt+AFVnPZmZmQCAq1ev6v1g02Zogjtz1K95nvz9/Q1urynPycnRW1fe89mrVy80bdoUq1evxpdffgkXFxcpsGwoHzMREZG5lZX/VaFQ6ExQVZnrMM339/Hjxw0GgzQMfX8bew1VlWuEmnru5bVLO4hkSYbaoLl+MrYNlrp+Aky/vtOs076+y8nJQfv27REfH48OHTrg+eefh6enJxQKBXJycvDtt98anEDNVLm5ufD09DQY9FMoFPD29kZaWpreuvJeB4DxzwMAeHt7G/zjiaHfJJrX7ty5c8s9pqHXrrl/x1SlLeZ4jWgY+3mUnZ0NIQTS09PL/Twq71iGvPXWW/jmm2/g7++Pfv36ITAwEI6OjgDuT25448YNk+qqivI+73bu3ImdO3eWuW9Zk5FT7cCAMhHVWpov/tTUVIPrb9++bbDcxsZGZ0ZqbYYuYM2porYaupgxZmbuB7dXKpUG11n6/KqLpp+efPJJbNiwwWr1l/Ua08xSXpnn89VXX8XkyZOxatUqjBkzBitXrkRgYCAGDx5cxVYTERGZT2WuwzT7vPnmm/jqq69Mqs/Ya6jquEao7nN/WFjy+skclixZgvj4eEyfPl1vVOXhw4fx7bffmqUeNzc3ZGVloaSkBLa2tjrrlEolMjIyDI5ENqeMjAyoVCq9oLKh3ySax7m5uSa3y9zPW1XaYk6mfh61bt1aGqFvrLL6Li0tDfPmzUPz5s1x6NAhvZHSq1evNqkeANLdH4Z+Q1b0+9FQOzXn/e233+KNN94wuT1UO+jfM0REVEs0adIETk5OOH36tMGRvXv37jW4n4eHB1JTUw3+tTkmJsbczdRhaNbv3NxcnD59Gg4ODmjatGmV6/Dw8MCtW7f0ylUqFU6fPl3l49cETZo0kWZHNnWEtDk0btwYTk5OOHPmjMGLrD179gC4fzucqcaMGQMnJyf88MMPWLt2LXJycvDiiy8aHEVCRERkLS4uLmjYsCGSkpJw7do1vfWGrsM6dOgAGxsbHDhwwOT6Dh48qDNK+MF6WrduDaB6rhGq+9xNobleqK6Ry6bQPEeG+kepVEp9U5nrJ3OIi4sDAAwfPlxvnaFreKBy/d26dWuo1Wrs379fb93+/fuhUqks3gdKpRKHDh3SK3/w/QQAnTp1AgCLv3Y1bGxsyuzP6m5LWU6ePIm8vDy98gf7z9nZGREREbhw4QKysrLMUvf169ehVqvRt29fvWByYmIirl+/rrdPRa9TDw8PADD4G7Iyv49ryvNElsWAMhHVWra2tnj22WeRl5enN4ogJiYGq1atMrhfhw4doFQqsWzZMp3y5cuX459//rFUcwEAP//8s15OtBkzZiA3NxdPP/007O3tq1xHhw4dcPPmTezYsUOnfPbs2dV6+5MlKRQKTJo0CSkpKXjjjTdQUFCgt01KSgouXrxokfrt7Oyk1960adN01l27dg3z5s2Dra0tnnvuOZOP7ebmhmeeeQanTp3Cf/7zH8jlcrz88svmajoREZHZvPDCC1Cr1Xjvvfd0gr3x8fGYN2+e3vY+Pj549tlnERMTg//+978GgxvXrl1DfHy8XvnVq1excOFCnbLNmzdj3759aNiwIbp37w6g+q4RqvPcTeHl5QUAuHnzZpWOYwnR0dHw9PTE6tWrceTIEZ1133zzDeLj4/HYY4/p5U+uLpq5Kh4MeJ86dQqffPKJwX0q09/jxo0DAEydOhX37t2Tyu/du4f3338fAPDiiy8afbzKmjp1qk4Kj6ysLCnv+AsvvCCVT5w4Eba2tnjzzTdx5coVveMUFxebNXDo5eVlMLBpjbaUJTc3F7NmzdIp0/z+dHNzw5NPPimVv/XWWyguLsa4ceMMDkTJzs42afSy5nV68OBBnc+R/Px8vPzyywZHGVf0OtXkQV62bJnO/rdu3dI7T2O0a9cO3bt3x4YNG7B06VKD25w7d85gaheqPZjygohqJEPJ+zWio6OlievmzJmD3bt345tvvkFMTAy6deuGlJQUrF27FgMHDsTvv/+ut/+kSZOwbNkyvPbaa9i9ezeCgoJw+vRpHD58GIMHD8bWrVstdFbAgAED0LVrVzz11FPw9/fHwYMHcfDgQYSGhuLTTz81Sx1vv/02tm/fjqFDh2LUqFHw9PTEoUOHEB8fj549e5Y5cru2mTZtGs6cOYPFixdjy5Yt6N27NwIDA5GWloarV6/in3/+wccff4xmzZpZpP5PP/0UBw4cwIIFC3D8+HH06tULGRkZWLduHfLy8rBgwQKEhYVV6tgTJkzAkiVLkJSUhCFDhqBevXpmbj0REVHV/fvf/8amTZuwfv16tGnTBv369UNOTg7WrVuHHj16GLwOW7BgAa5evYqPPvoIP//8M7p16wZfX18kJycjNjYWx48fx+rVq/W+Q/v3749///vf+PPPP9GqVSvExcVhw4YNcHBwwNKlS3Um7KuOa4TqPHdT9OrVCzY2Npg6dSrOnz8vjTz8z3/+U+ljmouzszOWLl2KkSNHIioqCiNHjkRwcDBOnDiBHTt2wM/PD99//73V2vf8889j7ty5mDJlCvbs2YPw8HBcvXoVW7duxbBhw7B27Vq9ffr06YO5c+fi5ZdfxvDhw+Hi4gJ3d3dMnDixzHqeeeYZbN68GevWrUNERASio6Mhk8mwadMmxMfHY9SoUXj22Wctearw9/dHUVERmjdvjieeeAIlJSX47bffkJKSggkTJqBHjx7Stk2aNMHSpUsxbtw4REREoH///mjUqBFKSkpw8+ZNHDhwAHXr1sWlS5fM0rY+ffpgzZo1GDJkCNq0aQNbW1v06NEDPXr0qPa2lKVHjx5YsmQJjh49iq5du0q/P9VqNb7//nuddBzjxo3DiRMnsHDhQjRo0AD9+vVDcHAwsrKyEB8fj/379+OFF17A4sWLjarbz88Po0ePxpo1axAZGYm+ffsiNzcXO3fuhIODAyIjI/XuSm3cuDECAwOxZs0a2NraIiQkBDKZDM899xxCQkLQsWNH9OjRA/v370eHDh3Qu3dvpKamYsuWLejXr1+ZAf7y/PLLL+jduzdefPFFzJs3Dx07doS7uzsSExNx9uxZnD9/HocPHy5z4kGqBQQRUQ0CoMJ/y5Yt09knJSVFvPDCC8Lb21s4ODiIVq1aiWXLlok9e/YIAGL69Ol69Rw4cEB0795dODo6ChcXFzFw4EBx5swZMX36dAFA7NmzR69dUVFROmWV3XbZsmWiVatWwsHBQXh7e4uxY8eK5ORkvTZGRUWJ8j6mly1bZrA/hBBi8+bNom3btsLe3l54enqKUaNGiYSEBDFmzBgBQMTHx0vbxsfHCwBizJgxBusxdD4aISEhIiQkpMw2arNEPWq1Wvz000+id+/ewsPDQ9ja2oqAgADRtWtX8fHHH4ubN29atP7s7Gzx7rvvioYNGwo7Ozvh5uYmHnvsMbF9+3a9bct7PRoSGRkpAIitW7catT0REZGxNNdU2ir6nizruiQ3N1e8+eabIiAgQNjb24vGjRuLL774Qly7dq3M4xUVFYn58+eLzp07C1dXV2FnZyeCgoJE7969xddffy0yMjKkbbW/Pw8dOiT69OkjXFxchLOzs3j88cfFsWPHDLbXnNcINeHcDSnr+uTnn3+WrjUNPdeGlFVXedejZV2LGrre1Hbs2DERHR0tvL29ha2trQgKChKvvvqqSEpK0tu2omOVt76sa/Xy2n7hwgUxZMgQUbduXeHk5CTatGkjfvzxx3JfI19++aVo0qSJsLOzEwB0npOy+k+lUonvvvtOtG3bVjg6OgpHR0fRpk0bsWDBAqFSqfS2L+86taI+epDmdZOTkyMmTJggAgIChJ2dnWjSpIn49ttvhVqtNrjf2bNnxZgxY0RwcLCws7MTHh4eIiIiQowfP17s3r1bZ9uKfseUJzU1VTz99NPCx8dH2NjYGHxdmqstpr5+tF8HFy9eFE888YRwd3cXjo6OokuXLuKvv/4q87y2bNkiBg0aJOrWrStsbW2Fr6+vaN++vfjwww9FbGyszrblPd9CCHH37l3xwQcfiAYNGgh7e3tRr149MWHCBJGRkVHm+R47dkz07t1buLq6CplMpndu2dnZ4qWXXhJ169YVdnZ2IiIiQnz//fdlvvaNed3duXNHfPzxx6JNmzaiTp06wsHBQYSGhoqBAweK77//XuTn55e5L9V8MiGEMEdgmoioptm7dy969eplcGINoposLy8PAQEB8PT0RHx8vM6oKyIiokcJr+eIzEuTMiEhIcGq7aiNEhISEBYWhjFjxmD58uXWbg6RVfEXKhERUQ2zaNEi5OfnY8KECQwmExERERERUY3CHMpEREQ1QG5uLhYtWoSkpCT8+OOP8Pf3x4QJE6zdLCIiIiIiIiIdDCgTERHVANnZ2Zg6dSrs7e3Rtm1bzJ8/Hy4uLtZuFhEREREREZEO5lAmIiIiIiIiIiIiIqMwMSMRERERERERERERGYUBZSIiIiIiIiIiIiIyCgPKRERERERERERERGQUTspnRjk5Odi3bx+CgoJgb29v7eYQERER0f8UFRXh1q1biIqKgru7u7Wb88jhdTIRERFRzVSZ62QGlM1o3759iI6OtnYziIiIiKgMmzZtwtChQ63djEcOr5OJiIiIajZTrpMZUDajoKAgAPefgIYNG1q5NdajVCqRl5cHFxcXKBR8iZWHfWU89pVx2E/GY18Zj31lPPaV8aq7r+Li4hAdHS1dr1H14nUyPx9Mwb4yHvvKeOwr47GvjMe+Mh77yni14TqZz6AZaW7fa9iwISIiIqzcGutRKpXIycmBu7s7PyQqwL4yHvvKOOwn47GvjMe+Mh77ynjW6iumW7AOXifz88EU7Cvjsa+Mx74yHvvKeOwr47GvjFcbrpM5KR8RERERERERERERGYUBZSIiIiIiIiIiIiIyCgPKRERERERERERERGQUBpSJiIiIiIiIiIiIyCjMgk1ERERERERERETlUqvVSE1NRVFREdRqtcn7lpSUICcnBzY2HN9aHnP2lY2NDezt7eHr62vWfmdAmYiIiIiIiIiIiMqkVqtx8+ZNFBQUQC6XQy6XQyaTGb2/TCaDra2tSfs8qszVV0IIFBcXo6CgAEVFRQgODjZbUJkBZSIiIiIiIiIiIipTamoqCgoK4OnpCR8fH5ODnUIIKJVKKBQKBpUrYM6+EkIgLS0NWVlZSE1Nhb+/v1nayDHmREREREREREREVKaioiLI5fJKBZPJemQyGXx8fCCXy1FUVGS24zKgTERERERERERERGVSq9Ump7mgmkEmk0Eul5uc97o8DCgTERERERERERFRuRhMrr3M/dwxoExERERERERERERERmFAmYiIiIiIiIiIiIiMwoAyWczdO1m4GXsSKmWJtZtCRERERERERFTr3S1U4cSVOygqMV8+XCJTMaBMFnEvNwsrp7+AX+dOxpaFH1m7OUREREREREREtVpxiRoT513Gf5Zdx7s/xEEIYe0m1Upjx45Fu3btrFL3m2++CZlMhuHDh+utGzBgAPr162eFVpmOAWWyiCvHdqLw7h0AwLXTB5GdesvKLSIiIiIiIiIiqr3OXs/H7exiAMCVxHu4lV5k5RaRqc6dOwd7e3vs3LkTJSW6d/SfPXsWLVu2tFLLTMOAMpmdEALxp/bplF2J2WudxhARERERERERPQTibxfoLCdn1p6AcklJCcaMGYOtW7eWu93WrVvxr3/9Sy/Y+rA4d+4cnn/+eeTn52P//v1SeVZWFpKTk9GiRQsrts54DCiT2aXduII7GSk6ZZeP/W2l1hARERERERER1X7xtwt1lpMzak9Aedy4cVi9ejVGjBhRZlB569atGD58OFatWoUXXnihWtu3bt06tGjRAvb29ggKCsKHH34IpVIJANizZw9kMhmSk5Ol7Tt37gy5XI6cnByprEWLFvjwww/LrCM1NRVpaWno06cP2rVrhz/++ENad/bsWekYtQEDymR2l47u0itLvxWHOxm3rdAaIiIiIiIiIqLaLz6l9o5QHjVqFOzs7FBcXIzhw4frBZU1weTi4mLY2dlh9OjR1da2HTt2YNSoUWjTpg02b96MSZMm4YsvvsDEiRMBAB07doStrS0OHDgAALh37x5OnDgBOzs7/PPPPwDujzC+cOECunfvXmY9586dA3A/aDxo0CCdgPK5c+egUCjQrFkzS52mWTGgTGalVqtw5bjh0chXTuwzWE5ERERERERERGUrVqpxK/2BEcq1KKA8ePBgrF271mBQ+cFg8vr16zF48OBqa9tHH32Enj17YsWKFejfvz/effdd/Pe//8WPP/6IxMREODk5oW3btlJA+ciRI3Bzc8PQoUOlsoMHD0Imk6FLly5l1nPu3DnY2dmhUaNGGDhwIK5cuYK4uDgA90coh4eHw97e3vInbAYMKJNZ3Yo9hXt3sqRlhzqu0uPLx3Zbo0lERERERERERLVaYnoRVGrdsuTMYus0ppIGDRqE3377TSeo/Nprr1k1mKxSqXDy5EmMHDlSp3zUqFFQq9U4fPgwAKBHjx5S8Hj//v3o1q0boqKidMpatWoFV1dXlOXs2bNo2rQpFAoF2rVrB19fX2mU8rlz54xOd7FgwQI0adIEvXr10nlcnRhQJrOKPbJDeuxQxxWdnyjNeXM7/hLyczKs0SwiIiIiIiIiolrrwXQXAJCeU4xipdrA1jXX4MGDsX79eimovHjxYqsFkwEgIyMDJSUl8PX11SnXLGdl3R802b17d5w/fx45OTk4cOAAunfvju7duyMmJgaFhYVSWXnOnTuHli1bAgBkMhn69++PP/74A0IInD9/XlpXke+++w6bNm3Cnj17dB5XJwaUyWxKiotwVSutRVjLzmjUrqfWFgJxJw9Ue7uIiIiIiIiIiGqz+Nv6AWW1AFKzatcoZeB+UHncuHE6ZePGjav2YDIAeHt7w9bWFmlpaTrlqampAABPT08AQNeuXQEAe/fuxZEjR9CjRw9ERETA2dkZu3fvxsmTJ8sNKKvValy8eFFnFPKgQYOwb98+nD17Fnfv3tVZd/DgQfTo0QNt27ZFjx49cPHiRQDA888/j2vXrmHYsGEYOXKk9Pidd94xT4cYiQFlMpv4s4dQXHhPWm7efQicPbwR0LC5VGZowj4iIiIiIiIiIipb/O1Cg+VJtSiPssbWrVuxdOlSnbKlS5fqTdRXHeRyOdq2bYtff/1Vp3zdunWwsbFB586dAQAeHh5o3rw5vv76a8jlcrRu3RoymQzdunXD559/DqVSWW5A+erVqygoKNAJGvft2xdqtRpfffUVAEjrsrKy8N5772Hz5s04ceIEPvnkE7z44osAgJ9++gkBAQHYtm0bfv31V+nx3LlzzdovFWFAmcwm9vBO6XEdd2/4N7g/M2V42yipPDnuPO7l5VR304iIiIiIiIiIai1DI5QBIKWWBZQfnIDv1VdfNThRX3WaOXMm9uzZgxdeeAHbt2/HF198gWnTpuHll19GvXr1pO26d++O/fv3o0uXLpDL5Tpl4eHhemkztJ07dw4AdALKbm5u6Nq1K3755Re4uLggNDQUAHD48GHExcWhd+/eiIyMxOuvv46kpCQLnHnlMaBMZlF4Nw/x545Iy8EtukAmkwHQDSgLoca1UwervX1ERERERERERLVRTn4JsvOU0vL/wi0AgKSM2hNQ/uOPPzBixAidnMmLFi3SyalsjaBy3759sWbNGsTExGDIkCH45ptv8O9//xsLFizQ2U4zArlHjx56Zd26dSu3jnPnzsHDwwOBgYE65YMGDYJSqUTz5s2lOJparUbnzp1x6tQpnD59GqdPn8bNmzerfJ7mxIAymcWVE3uhUpZIy407PC49dvP2h29IY2n50rHd1do2IiIiIiIiIqLa6sF0F02D60iPkzNrRw7lrVu3YtSoUQYn4Htwoj5LB5WXL1+OmJgYnbJRo0bh3LlzKC4uRmJiIj7++GMoFAq9bYQQ+OCDD6Syjh07Qgihl8LjQTNnzpQm+NP2zjvvQAiBQ4cOSWVdunTByZMncerUKQD3A8wnT540+TwtiQFlMotLR0pzI3v6h8DNt57O+vB2paOUEy+dQuG9vGprGxERERERERFRbRWfUpruwtHeBpENnKXl5FqS8mLt2rUGg8kaDwaV16xZY6WWWp+XlxdWr16NiRMnolWrVoiIiMDGjRut3Swdioo3ISpfXnY6bl0+JS03at9bb5vwtlE4uP4HAIBarcL1M4fQrHO/amsjEREREREREVFtpJ0/OczPEYHe9tJyek4xipVq2Clq9pjRpUuXQq1W4+mnn9YLJmtogspr1qzBsmXLqrmFNUvXrl3xzz//SGkwtCUkJBh8XJ1q9quNaoVLR3cBQgAAZDIZIroN1NvG0y8Y3oH1peXLR5n2goiIiIiIiIioItopL8L8HBDgVRpQVgsgNavmp72wtbXFihUrygwmawwePBgrV66Era1tNbWMKoMBZaqyS0d2So99Q5vA2d3b4Hbak/PduBiD4sJ7Fm8bEREREREREVFtpVIJ3EgtDSjX99cdoQzUnrQX9PBgQJmqJDM5AWk3r0rLzbqUncZCO4+ySlmC+HNHLdo2IiIiIiIiIqLaLDGjCEqVkJbD/Bzh4qSAs6NcKmNAmaobA8pUJdqT8dnIFeXmRfYOrA93n9LJ+i4fY9oLIiIiIiIiIqKyaOdPBoAQPwcAQKBW2ovkzOpJeSGEqHgjqpHM/dzVqoByfn4+pk+fjv79+8PT0xMymQzLly83uO26devQqVMnuLu7w8vLC1FRUfjjjz/0tlOr1fj8888RFhYGBwcHtGzZEqtXr7bwmTwchBCIPVqa7qJe40jYOzmXub1MJtNJexF/7iiUJfwrGhERERERERGRIQlaAWU/Tzs42d8fmeyvFVBOyrB8bMXGxgYqlYpB5VpICAGVSgUbG/OFgWtVQDkjIwOzZs1CbGwsWrVqVeZ28+fPx6hRo+Dt7Y1PP/0U06ZNQ25uLgYPHowNGzbobPvhhx/ivffew+OPP4758+cjODgYzzzzDNasWWPp06n1Uq5dQG56srTc3MBkfA9qpJX2QllciITzxy3SNiIiIiIiIiKi2i4+RXtCPkfpcaC3nfQ4pRpSXtjb20OlUiEtLY1B5VpECIG0tDSoVCrY29tXvIORFGY7UjXw9/dHSkoK/Pz8EBMTg/bt2xvcbv78+Wjfvj22bNkCmUwGABg3bhwCAwOxYsUKDBs2DACQlJSEL7/8Eq+//joWLFgAAHjppZcQFRWFd955ByNHjoRcLjdYB0FndLKtvaPO6OOy+IY2gYuXL/IyUwEAl4/9jYatu1msjUREREQPi+PHj2PFihXYs2cPEhIS4OXlhU6dOmH27Nlo1KiRzraxsbF48803cfDgQdjZ2WHQoEH46quvULduXaPq+v333zFjxgxcvHgRPj4+eOGFFzBt2jQoFLXq5wMREVGtp53yIux/6S4AIEBrhHJaTjFKlGrYKiw3btTX1xdFRUXIyspCbm4u5HK5FHMzhhACQgjIZDKT9nsUmauvNCOTVSoVHB0d4evra7Y21qoRyvb29vDz86twuzt37sDHx0en011dXeHs7AxHx9K/5mzevBklJSWYMGGCVCaTyfDaa68hMTERhw8fNu8JPERUSiUuH/tbWg5t3gEKW7ty9rhPJpMhvE0Pafn6mX+gUpZYpI1ERERED5PPPvsM69evR58+ffDtt99i/Pjx2L9/P9q0aYPz589L2yUmJqJHjx6Ii4vDnDlz8Pbbb+OPP/7A448/juLiinMs/vnnn4iOjoa7uzvmz5+P6OhozJ49G5MmTbLk6REREdED8gqUSM8tjZmE+ZfGtLQDymoBpGZbNo+yjY0NgoOD4e7uDjs7O5MDnUIIlJSUcHSzEczVVzKZDHZ2dnB3d0dwcLBZU148lEMMevbsid9++w3z58/HkCFDUFhYiPnz5yM3NxeTJ0+Wtjt16hTq1KmDpk2b6uzfoUMHaX23boZHz6alpSE9PV2nLC4uDgCgVCqhVCrNeUo1TsK5oyjIy5GWm3UbKJ2zUqmESqUqsw/qR3bHyZ2/AgCKC+8h4cJxhER0sHiba6KK+opKsa+Mw34yHvvKeOwr47GvjFfdffUwPCdvvfUWfvnlF9jZlf4Rf9SoUWjRogU+/fRTrFy5EgAwZ84c3L17FydOnEBwcDCA+9e3jz/+OJYvX47x48eXW8/bb7+Nli1bYseOHdKIZFdXV8yZMweTJ09GkyZNLHSGREREpE073QWgm/JCO6AM3M+jXK+uAyzJxsYG/v7+ldpXqVQiJycH7u7uvOOpArWhr2pmq6po3rx5yMjIwBtvvIE33ngDAODt7Y3du3ejc+fO0nYpKSnw9fXV+6uK5s2RnJyMsixcuBAzZ840uC4vLw85OTlVPIua7dw/f0qPHZzd4OrfQDpnlUqF/Px8ADCYMsTJKxCOLh4oyMsGAJw/tANugY30tnsUVNRXVIp9ZRz2k/HYV8ZjXxmPfWW86u6rvLw8i9dhaV26dNErCw8PR0REBGJjY6Wy9evXY/DgwVIwGQAee+wxNGrUCOvWrSs3oHzx4kVcvHgR3333nc4PmAkTJuDjjz/Gb7/9hv/85z9mOiMiIiIqj3a6C3tbG/h5lv5R2bWOAs6OcuQXqAAAydWQR5lI46EMKDs5OaFx48aoV68eBg8ejLy8PHz99dcYNmwYDhw4gIYNGwIACgoKDCakdnBwkNaXZcKECRg5cqROWVxcHKKjo+Hi4gJ3d3fznVANU1JUgFsXjkrLDSK7wtPTS1rWjAByc3Mr8y8pDdt0x7l9vwMAEi8eg6urC2xsHr0f3sb0Fd3HvjIO+8l47Cvjsa+Mx74yXnX3lYuLi8XrsAYhBFJTUxEREQHg/hwhaWlpaNeund62HTp0wLZt28o93qlTpwBAb/+AgADUq1dPWl+eR/1OvrLwDgbjsa+Mx74yHvvKeOwr41m6r64n35Meh/jaQ6hVUKpL1/t72uFq0v3YVWJ6YY1+zvi6Ml5tuJPvofylM3LkSCgUCmzZskUqGzp0KMLDw/Hhhx9i7dq1AABHR0cUFen/BaewsFBaXxYfHx/4+PgYXKdQKB7qH5FxJ46ipKj0tovIXtF65yuXy8vth8bte0kB5cK7eUi9fhFBTVpbrtE1WEV9RaXYV8ZhPxmPfWU89pXx2FfGq86+elifj1WrViEpKQmzZs0CcP8OPAAGb0f19/dHVlYWioqKypzlu6L9y7uDT+NRv5OvLLyDwXjsK+Oxr4zHvjIe+8p4lu6ruKR86XGAh43ed6i3C3D1f49vpd6t0d+xfF0ZrzbcyffQXVlfv34df/31F3744Qedck9PT3Tr1g3//POPVObv7489e/ZIMydqaC6kAwICqqfRtUzskZ3SYzdvf/iGmp5HL6hxJByc3VCYnwsAuHz870c2oExERERUGZcuXcLrr7+Ozp07Y8yYMQBK77Cr6C68sgLKFe1/586dCtv1KN/JVx7ewWA89pXx2FfGY18Zj31lPEv2lUotkJSZJC03DnbV+w4N8SvC4Uv3v7vT7qhr9HcsX1fGqw138j10z2BqaiqA+9H8B5WUlOgM446MjMSSJUsQGxuLZs2aSeVHjx6V1pOue3k5SDhfmu4ivF1Pk2f2BAAbuQINI7vh/ME/AABXT+xHn2ffhMyMM04SERERPaxu376NQYMGwc3NDb/99ps0ekVzh11l78KraP/y9tV4lO/kqwjvYDAe+8p47Cvjsa+Mx74ynqX6KjWjCEUlQlpuEFhHr44gn9Lv5fScEgjYwFZRc+MqfF0Zr6bfyVdzX2WV1LBhQ9jY2GDt2rUQovSNl5iYiAMHDqB169JRsEOHDoWtrS0WLlwolQkhsHjxYgQGBhqc+ORRdzVmL9RawfqWUU9U+ljh7aKkx/fuZCElPracrYmIiIgIAHJzczFgwADk5OTgr7/+0rmrTpOqQnPHnbaUlBR4enqWOTrZmP15Bx8REVH10J6QDwBC/Rz0tgnwKv1OVwsgNbvY4u0iAiw8Qnn16tV4+umn9crXrFmD0aNHV+qYCxYsQE5OjpS/bcuWLUhMTAQATJo0CXXr1sW4ceOwZMkS9OnTB8OGDUNeXh4WLlyIgoICTJ06VTpWvXr1MGXKFMydOxclJSVo3749Nm3ahAMHDmDVqlXM6WKAdroL78D68PCtV+ljBTdtCzvHOiguuAsAuHJ8DwIaRFS5jUREREQPq8LCQgwZMgRXrlzBrl27dO6yA4DAwEDUrVsXMTExevseO3aswjvwNOtjYmLQoUMHqTw5ORmJiYkYP358lc+BiIiIKhafUhpQrutmCxdH/RCedkAZAJIzi1Cvrn7gmcjcLDpC+ZVXXjFYPmHChEof84svvsC0adOwaNEiAMCGDRswbdo0TJs2DdnZ2QCARYsWYf78+cjOzsbUqVMxZ84chIeHY+fOnejRo4fO8T799FPMmTMH27dvx+uvv46EhASsXLkSzzzzTKXb+LC6k3EbSVfPSstNOj1WpeMpbO3QoFXpKPArMXt0RpUTERERUSmVSoVRo0bh8OHD+PXXX9G5c2eD2w0fPhxbt27FrVu3pLLdu3fjypUrOrmNS0pKcOnSJZ3RyBEREWjSpAl++OEHnRRyixYtgkwmw4gRIyxwZkRERPSg+NuF0uMwP8Mpp1zrKODsWDoYMilDP2UVkSVYZITyoUOHAABqtRqHDx/WCRImJCSgTp06lT52QkJChdsoFApMnDgREydOrHBbGxsbTJ06VWfkMhkWe3SX9Fgms0GL7oOrfMzwtj2lUc95WWlIu3kVviGNqnxcIiIioofNv//9b/z+++8YMmQIsrKysHLlSp31//rXvwAAH3zwAX799Vf06tULkydPRn5+PubOnYsWLVrghRdekLZPSkpC06ZNMWbMGCxfvlwqnzt3Lp544gn07dsXo0ePxvnz57FgwQK89NJLaNq0abWcKxER0aNOe4RymH/Zo44DvOxxJfEeACAlkykvqHpYJKD87LPPArg/S7T2SF+ZTAZfX1/MmzfPEtWShV3SSnfhX78ZnFw9qnzM0OYdoLBzgLL4/l/ersTsYUCZiIiIyIDTp08DuJ/ybcuWLXrrNQHloKAg7Nu3D2+99Rbef/992NnZYdCgQfjyyy/LzZ+sMXjwYGzYsAEzZ86UUsp98MEH+Oijj8x6PkRERGTY3UIVbmvlQw4tY4QyoBtQTsrkCGWqHhYJKMfHxwMAXn75Zfz444+WqIKqWXriNWQkXZeWm3Xtb5bj2to7oH7LTrgSsxfA/TzK3YcbTpVCRERE9Cjbu3ev0dtGRERg+/bt5W4TGhpaZrqx6OhoREdHm9A6IiIiMpcbqYU6y2WlvACAAC876XEyA8pUTSyaQ5nB5IdH7OHS0clyhR2adnzcbMcObxslPc5JS0JmUrzZjk1EREREREREVJvE3y5Nd2GrkKGed9l3GAVqrUvLLkaJUm3RthEBFhqhrC0+Ph7nzp1Dfn6+Tjknvas9hFqNS8dK8ycHNWkNO0cnsx2/fssukCvsoFLev53jSsxedA4MM9vxiYiIiIiIiIhqC+38ySE+DpDLZWVu6+9VGlBWCyA1uxj16padc5nIHCwaUP70008xc+ZMtGzZEk5OpQFImUzGgHItkhR3DnmZqdJyix5Vn4xPm52jE0Kat8f10/8AAC4f/xudh75QwV5ERERERERERA+f+NulKS/C/MtOdwEAgV66o5eTM4sYUCaLs2hA+auvvkJMTAwiIiIsWQ1ZWKzWZHx2jnXQILKr2eto1DZKCihnJicgJy0J7j6BZq+HiIiIiIiIiKimEkLopLwI8ys/OOziJIezgxz5hSoAQHJmcbnbE5mDRXMoOzs7o379+pasgixMpSzBleN7pOWwFp0gV9iavZ4Gkd1gI5dLy5pJ+oiIiIiIiIiIHhVpOcUoKCrNgxxazoR8wP0sAAFaeZSTMzgxH1meRQPK7777LsaOHYvTp08jOTlZ5x/VDgnnj6Hw7h1puWXUEIvU41DHBUFN2kjLl4/ttkg9REREREREREQ1VXxKoc5yWAUBZQAI8LKTHidnMqBMlmfRlBcTJkwAAPz666865TKZDCqVypJVk5nEHtkhPa7j5omgxq0tVlejtj1x48JxAEDazau4k5UKV09fi9VHRERERERERFSTaKe78HBRwN254tBdgFYe5SQGlKkaWHSEslqtNviPweTaobjgHq79L68xADRs3R0yG8u9ZBq26Q6ZrPT4V2P2WawuIiIiIiIiIqKa5nqKdv7kikcnA7oB5bTsYpQo1eVsTVR1Zh+hfPToUXTs2BEAcOjQoTK369Kli7mrJjOLO7UfyuLSv2y17DnUovU5uXogsFFLJF4+DeB+2ou2fZ+yaJ1ERERERERERDVF/O3SlBcVTcinoZ1DWS2A1Oxi1Ktr3L5ElWH2gPKLL76I8+fPAwCeffZZg9vIZDJcv37d3FWTmcUe2SU9dvcJhE9wuMXrDG8bJQWUU67H4m5uJuq4eVm8XiIiIiIiIiIiayosVuvkQK7MCGUASM5kQJksyywBZSEEZDIZAEjBZACIj483x+HJCu7dycaNizHScqN2vaql3vC2Udjzy7f/WxKIO3kArXpFV0vdRERERERERETWciO1EEKULtf3Ny6g7Ookh7ODHPmF91PMcmI+sjSzJMR1dXXFtm3bzHEoqiEuHdsNoS7Ndd0y6olqqdfFoy78G0SUtuPo7mqpl4iIiIiIiIjImhK0JuST2wD16tqXs3UpmUwGfy87aZkBZbI0swSU7969i5ycHHMcimqIS0dL0134BIfDra5/tdUd3jZKepx09SwK8nOrrW4iIiIiIiIiImuI1wooB/k4wFZhfNguUCuPcnIGA8pkWWYJKFckIyMDt27dqo6qyAxy0pKQcu2CtNyk4+PVWn8jrYCyEGpcO3WwWusnIiIiIiIiIqpuuhPyGZfuQsNfK48yRyiTpZktoHz27FnExcVBaCd7+Z8tW7YgNDTUXFWRhWmPTpbZyNG8+8Bqrd+tboDOBICXjjHtBRERERERERE9vIQQiE8pHaEc5mfapHqBWgHl1JxiKFX68TkiczHLpHwAMHfuXMydOxcODg5o0qQJmjdvjiZNmqBu3bpYunQp6tWrZ66qyIKEEIg9slNaDmgYAUdnt2pvR3jbnki7eRUAcOvSKRQV3IW9Y51qbwcRERERERERkaVl3ilBXkHpXFamjlAO0Aooq9VAanaxThoMInMyW0D5o48+QlhYGM6fP4/z589jz549+PnnnwEAcrkc3333nbmqIgtKu3kFWSk3pOWIrtU7OlkjvF0U/tn4IwBArVLi+plDaNqpelNvEBERERERERFVB+10FwAQ5m9iQPmB4HFSRhEDymQxZgsoh4eH45lnntEpu3v3LlJTU+Ht7Q1XV1dzVUUWFHukNN2FwtYeTTr0sUo7vPxD4BUQiszkBAD3014woExEREREREREDyPtdBeuTnJ4upgWsnN1kqOOgw3uFqoBACnMo0wWZNFJ+erUqYP69eszmFxLqNUqXNbKnxzcrC1s7U3L2WNO4VqT8904fxwlRQXlbE1EREREREREVDvF39bOn+wImUxm0v4ymUwn7UUSA8pkQWYJKC9atAhNmzY1x6HIihIvn0Z+Toa03LzHYCu25n4eZQ2Vshjx545arzFERERERERERBainfLC1HQXGtoBZY5QJksyS0D5lVdeQevWrc1xKLIi7cn47J1c0KBlZyu2Bqgb1ADuPoHS8uVju63YGiIiIiIiIiIi8ytWqnErXSug7Fe5u8W18ygnZTCgTJZj0ZQXVHsoS4pwNWaftFy/ZWfYyM2WYrtSZDKZTtqL+HNHoCwptmKLiIiIiIiIiIjM61ZaIdTq0mVzjFBOzSmGUiWq2jQigxhQJgBA/NmjKCrIl5Zb9hxqxdaU0g4olxQV4saF41ZsDRERERERERGReWmnu7CRAcE+lRuhHKgVUFargdRsDsojy2BAmQAAsUd2SI+dPeoiMLyFFVtTyi+sKVw8faTly8f/tmJriIiIiIiIiIjMS3tCvkBve9jbVi5c568VUAaAZOZRJgthQJlQdC8f188clpbD2/QweTZRS5HJZAhvUzpK+drpf6BSKq3YIiIiIiIiIiIi84lP0c6fXLl0FwDgVkeOOg6lob5k5lEmC2FAmXD1xD6olKW3QbSMesKKrdEX3q40oFxccBe3Lp+yYmuIiIiIiIiIiMwnQWuEcqh/5dJdAPcH5WnnUeYIZbIUswaUi4qKcPjwYWzevBkZGRnmPDQAID8/H9OnT0f//v3h6ekJmUyG5cuXG9xWrVZj0aJFiIyMhKOjI7y8vNC7d2+cOXNGb7vPP/8cYWFhcHBwQMuWLbF69Wqzt70miz2yU3rs4RcM73r1rdgafQENm8PJ1VNaZtoLIiIiIiIiInoYZOeVIDu/9E7sqoxQBsCAMlULswWU582bB39/f3Tr1g3Dhg3D2bNnAQAZGRnw9vbG0qVLq1xHRkYGZs2ahdjYWLRq1arcbceNG4c33ngDbdu2xfz58/HRRx8hODgYaWlpOtt9+OGHeO+99/D4449j/vz5CA4OxjPPPIM1a9ZUub21QX5OBm5eOiktN+7Q24qtMczGRo7wNt2l5bgT+6FWq6zYIiIiIiIiIiKiqtOekA9gQJlqB4U5DrJs2TJMmTIFo0ePRt++fTFu3Dhpnbe3N3r37o01a9bolFeGv78/UlJS4Ofnh5iYGLRv397gduvWrcOKFSuwYcMGPPnkk2UeLykpCV9++SVef/11LFiwAADw0ksvISoqCu+88w5GjhwJuVxepTbXdJeP7QaE+N+SDC16DLFqe8oS3rYnzuzdDAAovHsHyVfPoV7jSOs2ioiIiIiIiIioCrQn5KvjYAMfd9sqHS/AuzSgfDu7GEqVgEJeM+bJooeHWUYof/nllxg6dCh++eUXDBmiH5Bs27YtLly4UOV67O3t4efnV+F2X331FTp06IAnn3wSarUad+/eNbjd5s2bUVJSggkTJkhlMpkMr732GhITE3H48GGD+z1MYg+XprvwDW0MV08fK7ambPUaR8Khjqu0fPn4Hiu2hoiIiIiIiIio6uJTSgPKYX6OkMmqFvzVHqGsVgNp2cXlbE1UOWYZoRwXF4c33nijzPWenp7IzMw0R1UVunPnDo4dO4YJEybggw8+wPz585Gfn4+wsDB8+umneOqpp6RtT506hTp16qBp06Y6x+jQoYO0vlu3bgbrSUtLQ3p6uk5ZXFwcAECpVEKpVBrarUbJvn0TqTcuS8uNOz5mlnYrlUqoVCqz90H9Vl1w8dBfAIArMXvR46nXIbOp3fNKWqqvHkbsK+Own4zHvjIe+8p47CvjVXdf8TkhIiKimkg75UVV010AugFlAEjKLNIZtUxkDmYJKLu7u5c7Cd/FixeNGllsDteuXYMQAmvWrIFCocDnn38ONzc3fPvttxg9ejRcXV3Rv39/AEBKSgp8fX31/vrj7+8PAEhOTi6znoULF2LmzJkG1+Xl5SEnJ8c8J2RBZ/b/IT22kcsR2KyTWdqtUqmQn58PAGZNGeLfuK0UUL53Jwtx52NQN7iR2Y5vDZbqq4cR+8o47Cfjsa+Mx74yHvvKeNXdV3l5eRavg4iIiMgUSpXAzbTSgHKov0OVj+lWRw4nexvcK1IDYB5lsgyzBJQHDhyIH374QSd1hMaFCxfw448/Vjl/srE0P0wyMzNx5MgRdOzYEQDwxBNPICwsDLNnz5YCygUFBbC31/8rjYODg7S+LBMmTMDIkSN1yuLi4hAdHQ0XFxe4u7ub43QsRgiBhDMHpeWAhi3h4x9olmNrRgC5ublBoTDLSwwA4NyuBw6s/gbFhfdTmNy+fALhLTuY7fjWYKm+ehixr4zDfjIe+8p47Cvjsa+MV9195eLiYvE6iIiIiEyRlFEIpUpIy+YYoSyTyRDobY+rSfdjWskZDCiT+Znl6n327Nno2LEjmjdvjiFDhkAmk2HFihVYunQp1q9fD39/f3z00UfmqKpCjo7333xhYWFSMBkAnJ2dMWTIEKxcuRJKpRIKhQKOjo4oKtJ/YxUWFuocyxAfHx/4+BjON6xQKGr8j8iU6xeRm146ArtFt0FmbbNcLjd7PygUCtSP7IJLR+7nfb56Yh96jp5Y5fxC1maJvnpYsa+Mw34yHvvKeOwr47GvjFedfcXng4iIiGqa+JRCneVQ36qPUAYAfy+tgDJHKJMFmCUBbUBAAE6cOIH+/ftj7dq1EELg559/xpYtW/D000/jyJEj8Pb2NkdVRrUFAHx9ffXW+fj4oKSkRJqkz9/fH7dv34YQQme7lJQUnWM9jGKPlE7GZ2vviEYdelqvMSZo1DZKepyXlYr0W3FWbA0RERFR9crPz8f06dPRv39/eHp6QiaTYfny5XrbyWSyMv89/vjjFdYTGhpqcN9XX33VAmdFRET0aIq/XXpnvL+nHRztzZMGLFArjzIDymQJZhuq4ePjgyVLlmDJkiVIT0+HWq1G3bp1YVPNk6YFBATAz88PSUlJeuuSk5Ph4OAg3fIYGRmJJUuWIDY2Fs2aNZO2O3r0qLT+YaRWKXH52N/SckhEOyhsa0eC9tDmHaGws4ey+P4H4pWYPfAJDrdyq4iIiIiqR0ZGBmbNmoXg4GC0atUKe/fuNbjdzz//rFcWExODb7/9Fn379jWqrsjISPz73//WKWvUqHbPX0FERFST6EzI51/1dBca/loB5dvZxVCqBBTy2n13N9UsFrn3r27dupY4rNFGjRqFb7/9Fjt37pRGYGRkZGDz5s3o3bu3FOQeOnQo3nzzTSxcuBALFiwAcD+38OLFixEYGIguXbpY7Rws6WbsSdy7kyUtt+gx2IqtMY2tvQPCWnTC1RP7AACXj+1Bt2HjrdwqIiIiolIbN27Ek08+CQDIzs6Gh4eH2Y7t7++PlJQU+Pn5ISYmBu3btze43b/+9S+9sr1790Imk+Hpp582qq7AwECDxyEiIiLzuJ5SOkI5zM886S4AINC7NKCsVgNp2cUI8K4dAwmpdjBbQPngwYNYunQprl+/juzsbL00EjKZDGfOnKlyPQsWLEBOTg6Sk+/n/92yZQsSExMBAJMmTYKbmxumTp2KdevWYfjw4Xjrrbfg5uaGxYsXo6SkBHPmzJGOVa9ePUyZMgVz585FSUkJ2rdvj02bNuHAgQNYtWrVQzs7u3a6CwdnN4Q271jO1jVPeNsoKaCck5aIzOQEeAWEWrdRRERERP8zduxYKaAcEhKCO3fumO3Y9vb28PPzM3m/oqIirF+/HlFRUahXr57R+xUXF6OkpAR16tQxuU4iIiIq2527SmTeKZGWzTEhn0aAl53OclJmEQPKZFZmCSh/9dVXeOedd+Dg4IDGjRvD09PTHIc16IsvvsCNGzek5Q0bNmDDhg0A7o/EcHNzg6+vLw4ePIi3334bX3/9NUpKStC5c2esXLkSrVq10jnep59+Cg8PD3z//fdYvnw5wsPDsXLlSjzzzDMWOwdrKikukoKxANCgVRfY2NSuwHn9Vl0gV9hCpbz/wXslZi86PzHWuo0iIiIi+p+QkBD85z//QbNmzVBSUoLVq1frDbYAUK3Xm9u2bUNOTg6effZZo/f5+++/4eTkBJVKhZCQELz55puYPHlyhfulpaUhPT1dpywu7v68F0qlEkql0rTGPySUSiVUKtUje/6mYF8Zj31lPPaV8dhXxqtKX11LztdZDvaxNVuf17EHnOxtcK9IDQBITC9A6wZOZjl2ZfF1Zbzq7qvK1GOWgPLcuXPRtWtXbNmyBW5ubuY4ZJkSEhKM2q5+/fpSoLk8NjY2mDp1KqZOnVrFltUO10//g5Ki0lsqWvYcasXWVI69Yx2ENGuH62cPAwAuH/ubAWUiIiKqMdatW4e5c+fi6NGjKCkpwQ8//KC3jUwmq9aA8qpVq2Bvb48RI0YYtX3Lli3RrVs3NG7cGJmZmVi+fDmmTJmC5ORkfPbZZ+Xuu3DhQsycOdPgury8POTk5Jja/IeCSqVCfv794MHDeiekubCvjMe+Mh77ynjsK+NVpa8uxudJj+1tZbCX3UNOTkE5e5jGx02OhLT7AeX45Dzk5Fj3ueTrynjV3Vd5eXkVb/QAswSU7927h2effdbiwWSqutijpekuXLx84V+/WTlb11zhbaOkgHJmcjxy0pLh7hNg5VYRERERAU2aNMH//d//AQAGDhyIbdu2WbU9d+7cwR9//IGBAwfC3d3dqH1+//13neUXXngBAwYMwFdffYVJkyaVmzZjwoQJGDlypE5ZXFwcoqOj4eLiYnQbHjaa0T9ubm5QKCwylc1Dg31lPPaV8dhXxmNfGa8qfZV65670ONTPAZ5mnHMBAIJ88pCQlgsAyMqH1b9/+boyXnX3lYuLi8n7mKVVvXr1wrlz58xxKLKggvw7iD97RFoObxsFmax2zvLZoHU3yFbIIdQqAMCVE3vRYcDDmaaEiIiIahftSflWrVpl5dYA69evR2FhoUnpLh4kk8nw5ptvYvv27di7d2+5k/X5+PjAx8fH4DqFQvFI/4iUy+WPfB8Yi31lPPaV8dhXxmNfGa+yfXUjtUh6XN/fyex9HVjXAcD9gHJKVnGNeC75ujJedfZVZeqwMUfF8+fPx+7du/HFF18gKyvLHIckC7gasxdqVWlelFZRtS/dhYajsxuCmrSWli8f223F1hARERGVGjt2rPQ4JCTEeg35n1WrVsHNzQ2DBw+u0nGCgoIAgNf7REREVaRSC9xILU1vEebnYPY6ArxKJ+FLzS6GUqU/nwNRZZklzB0UFIRXXnkFb7/9Nt577z04ODjo5fiQyWTIzc01R3VUSdrpLrwCQuHpH2zF1lRdo7ZRuHkxBgCQduMK8rLS4OJpeDQMEZku9shOZCXfQKve0XB297Z2c4iIao2aNClfSkoK9uzZg7Fjx8Levmqzu1+/fh0AULduXXM0jYiI6JGVklmEopLSa4MwP0ez1xHgZSc9VqmBtOxiBHhX7VqASMMsAeWPPvoIH3/8MQIDA9GuXTvmUq6B7mSlIvHyaWm5cYfHrNcYM2nYpjt2rfwK+N8PtKsn96PNY8ZNNENE5btxIQbbfpgFALh56QRGT11Ya1PkEBFVt5o0Kd+aNWugVqvLTHdRUlKCa9euwc3NDf7+/gDuj0B2c3PTGSBSUlKCTz/9FHZ2dujVq5fF201ERPQwi79dqLMcaoERyoEPBI+TM4sYUCazMUtAefHixRg0aBA2bdoEGxuzZNEgM7t0dJf0WCaToWVU1W55rAnquHkhMLwlkq6cAQBcPrqbAWUiM7l+5pD0ODnuPFITLsEvrKkVW0REVHtYelK+BQsWICcnB8nJyQCALVu2IDExEQAwadIkncEdq1atQkBAAHr27GnwWElJSWjatCnGjBmD5cuXA7g/Id/s2bMxYsQIhIWFISsrC7/88gvOnz+POXPmwM/Pz6znQ0RE9KiJTylNd+HjbgtnR/PnyXWro4CjvQ0KitQAgKTMIrQzey30qDLLK7a4uBiDBg1iMLkGu3SkNKDsF9YUddy8rNga82nUNkoKKKdcv4B7d7Lh5GremVGJHkWpN6/oLJ/eswn9GVAmIjLZtm3bkJ6ejj///BO3b9/Gu+++i8TERKjVagQHVy792BdffIEbN25Iyxs2bMCGDRsAAP/617+kgPLly5dx4sQJvPXWWyZdp7do0QLNmjXDypUrkZ6eDjs7O0RGRmLdunUYOXJkpdpMREREpeJvlwaUQy2Q7gK4P5gw0Mseccn360rJLKpgDyLjmSUCPHjwYBw4cMAchyILyEiKR/qtOGm5WZf+VmyNeTVs20N6LIRA3Em+DomqSqjVSLuhG1C+fHQXigruWqlFRES11/bt2xEREYEtW7Zg9uzZAICEhAS8+uqrlT5mQkIChBAG/4WGhkrbNW7cGEIIfPnll2UeKzQ0FEIIaXQyALRt2xa///47EhMTUVRUhLy8PBw4cIDBZCIiIjPRTnlhifzJGtoT8yVlMKBM5mOWgPL06dNx8eJFTJgwASdOnEB6ejqysrL0/pF1XDpSOhmfXGGLpp37WrE15uXq6atzG/6lY7vK2ZqIjJGdmoiSogKdMmVJMWKP7LBSi4iIaq+33noLW7Zswa+//irlJO7QoQNiYmKs3DIiIiKyhruFKqRmF0vL9f3Nnz9ZQztnckpmcTlbEpnGLCkvGjduDAA4ffo0vv/++zK3U6lU5qiOTCCEQKxW/uR6jSJh71jHii0yv/B2UbgdHwsASLxyFoV38+BQx8XKrSKqvVJvXDZYfnr3RrTqGc3J+YiITJCamooOHToAgPT5yc9RIiKiR1fCbd3BO5YdoWwnPb6dXQSVSkAu53UIVZ1ZAsofffQRL4xrqOS4c7iTkSItN+8xyIqtsYxGbXviwK+LAQBCrcK10wcR0XWAlVtFVHulPpDuQiMzOR6342PhX79ZNbeIiKj26tSpExYuXIjXX39dKvu///s/dO3a1YqtIiIiImvRTndhp5DppKUwN+1jq9RAak6xReujR4dZAsozZswwx2HIAmK1JuOzc3BCw9bdrdgay3D3CUTdoIZSnuhLR3czoExUBWlaI5SDmrRG6o0rKP5f/uQzezYxoExEZIJFixZhyJAhmD9/PvLz8xEZGQm1Wo0//vjD2k0jIiIiK9CekC/E18GiI4YfDB4nZxQxoExmYZaAMtVMKqUSV47/LS2HNu8Iha1dOXvUXuFto6SA8s3YEyguuAc7Rycrt4qo9hFqtc4I5cBGreAVEIbTf28AAFw+thu9nn4D9k7O1moiEVGtEhQUhFOnTuHYsWO4efMmAgMD0bFjRymfMhERET1aErRGKIdaMN0FALg7K+Bob4OCIjUAIDmTE/OReVQqoHzz5k0AQHBwsM5yRTTbU/W4cfE4CvJzpeUWUUOs2BrLatQ2Coc2/R8AQK1S4vrZQ2jS8TErt4qo9slJT5ZGIwNAYHgL1HHzkgLKypJiXDy8A637DLNWE4mIaozg4GC0bNkSrVq1kv5v3LixXio4mUyGjh07omPHjlZqKREREdUEarXQGaEc5me5CfmA+9cgAV72uJZ8v04GlMlcKhVQDg0NhUwmQ0FBAezs7KTlinBSvuoVe2Sn9NjJ1QMhTdtasTWW5RUYBk//EGSl3AAAXDq2mwFlokpIeyB/sl9oUzjUcYF/gwikXLsAADj99wZE9n6SufOJ6JHXqlUrnD17Ftu2bQNw/0ebvb09IiIi9ALNHh4eVm4tERERWVtaTrE0WhgAwvwtO0IZAAJ1AsrFFq+PHg2VCigvXboUMpkMtra2OstUcxQX3kPcyQPScoPIbpDZ2FixRZYX3jYKR7f+BABIOH8MJUWFsLW37F/7iB422ukunN294VDHBQDQMuoJKaCclXIDKdcvIqBBhFXaSERUU2zZsgUAkJOTgzNnzuDs2bM4c+YMzpw5g9WrV2PZsmUA/jc6KCAArVq1wtatW63ZZCIiIrKi6ykFOsuhvpYPKPtr5UxOzuAIZTKPSgWUx44dW+4yWd+10/9AWVyal6dl1BNWbE310A4oq0qKkXD+GMLb9rByq4hql1StCfm8AsOkx43b98be1fNRVJAPADizZyMDykRE/+Pu7o6oqChERUVJZWq1GleuXJGCy1u2bEFycrIVW0lERETWFq+VP9nTRQF3Z8tPbRboXTqX1u3sIqhUwqITAdKjwSxDVm/evImCgoIy1xcUFBidZ5nMI/bIDumxW90A+IY2tmJrqodPcDjcvP2l5cvHd1uxNUS1jxBCJ+WFb2gT6bGtvQOadukrLV8+vgeF9/KqtX1ERLWFSqXCvn378MMPP+A///kPfv/9dygUCvTs2dPaTSMiIiIr0s6fXL8a0l0AuiOUVWogNYdpL6jqzBJQDgsLw8aNG8tc//vvvyMsLKzM9WRe9+5kI+H8cWm5Ubuej0RKEplMhvB2pSODrp85DGVJ7f6gzM1IgVqltHYz6BFxJ/M2Cu/ekZbrhbfQWd8qaqj0WFVSjNjDO0BERPdlZ2dj1apVGD16NLy9vdGnTx+sXLkSXbp0wdq1a5Geno7du/nHbiIiokdZQkrpCOVQv+oJKAdqBZQBIIUT85EZmGVsvRCi3PUlJSWwecjz99YkV2L2QqhLJ0B8FNJdaIS37YmYv9YAAEqKCnAz9gTqt+xs5VaZ7k7Gbfzxwywkx52Du089PDnlM3j6BVu7WfSQe3BCPu0RygDgXa8+Aho2R3LceQDA6b83IrL3sEfiD1ZERIZcunQJW7duxZYtW3D48GEolUq0aNECEyZMwODBg9GpUyd+RhIREREAoLBYheSs0mBumF/1zPnk7qyAo50NCorvTwaYlFGEto2qpWp6iFU6oHznzh3k5ORIy5mZmQbTWuTk5GDNmjXw9/fXW0eWoZ3uom69BnD3CbRia6qXf1hTOHvURX52OgDg8rG/a11A+eqJ/di+7BMU3bufqzYnLRHrPn8Do95bAA/felZuHT3MUhNK8yc7uXrCydVDb5uWUUOlgHJWyg0kXzuPwIYt9LYjInoUNGvWDHK5HP369cO8efMwaNAgBAUFWbtZREREVAPdSC2E9njMsGpKeSGTyRDgbY9ryffTbSRzhDKZQaWHDX/99dcICwtDWFgYZDIZpkyZIi1r/2vdujW2bduGV1991ZztpjLkpidLwR4AaNLxMSu2pvrJbGwQ3qZ0Ir5rpw/WmpQRypIi7F71NX7/7kMpmKxxNycT6z5/AzlpnMyHLCdVa4SyV2CowW0ate8FeydnafnMnk0WbhURUc2mUqnwzz//4JdffsHcuXOxZMkSHD16FPfu3bN204iIiKgG0Z6QTyGXoZ63fTlbm1eAVtqL5MzanRqUaoZKj1Du27cvnJ2dIYTAu+++i6effhpt2rTR2UYmk6FOnTpo27Yt2rVrV+XGUsUuHd0lPZbJbNC8+yArtsY6wttF4dTu9QCAonv5uHX5NEKa1ezXX3ZqIv76cRbSbl7VKXfx9EFeVhoAID87Hes+n4RR7y/QmXyQyByEEEi9UTpC2a+MiTxt7ezRrEt/nNr1GwDgyvE96P3MFDjUcamWdhIR1SR//fUXzpw5g7Nnz+LMmTP4/vvvUVJSAplMBplMhvr166Nly5Zo1aoVWrZsiZYtW3JeESIiokdUfErphHxBde1hq6i+1LC6AWWOUKaqq3RAuXPnzujc+X4qgbt372L48OFo3ry52RpGphNCIPbITmnZv0GEwVvWH3aB4S3h5OqBe3eyAQCXj++p0QHl66f248iGxSgpKv1yUdjZI+qp19GixxBsXTwdcSf3AwDystKw7vPJGPXefLh6+VqryfQQys9OR0FejrQc0LBlmdu2inpCCiirlCW4eGg72jw+wtJNJCKqcfr27Yu+fftKyyUlJbh48aIUYD579iwOHjyIDRs2ALg/2EKlUpV1OCIiInqIxd8u/c0fVk0T8mkEeNlJj29nFUGlEpDLOc8DVZ5Z/hwyffp0BpNrgPRb15CZnCAtR3Ttb73GWJGNjRwNW3eXluNO7odQq63YIsNKigqx66e5OLD6a51gsodfEJ6d9gMiez8JuUKBwa/OQP3IrtL6OxkpWPf5G9LIZSJz0B6dDAD+9ZuWua1XYBgCw0sDzqf/3lDh5KxERI8CW1tbtGrVCs899xy++OIL7NixA7dv30ZKSgr+/PNPfPbZZ9ZuIhEREVmBEALxKaUpL6orf7JGgFZ6DZUaSMtl2guqmuobX08Wpz0Zn9zW7pHLn6wtvG2U9LggLwdJWnmla4KMpHismj0eFw5u0ylv0vExPD9zGbwD60tlcoUthrw2S2dywdz0ZKz7fDLyszOqrc30cNPOn+zo4o46bl7lbt8yaoj0ODv1FpLjzlmsbUREtZ2vry/69euHt99+29pNISIiIivIyC1BfmHpXUphfg7VWr92ygsASM5g2guqGgaUHxJCrcalo7ul5aAmbWDn4GTFFllXUJM2OjldrxzfY8XWlBJC4NyBP7Dqvy8jMyleKre1d0S/Fz/AoFemQ2Grn5hfYWuHIa//F6HNO0plOWmJWPf5G8jPYVCZqi4toXSEspd/SIXbh7frpfMeO83J+YiIiIiIiAzSTncBVH/KCw9nBRztSkOAzKNMVcWA8kMi8eoZ5GeXpkBo0X2wFVtjfXKFAg200kRcObHX6rfkFxfcw7Yf/4sdyz6Fsrj0w9vdLwRPf/g9mncdUO7+Clt7PDHxY4REtJfKslNv4de5U3A3N8ti7aZHg/YIZd/QJhVur5mcT+NKzB4U5N+xSNuIiIiIiIhqs/jbpeku3Ooo4OFS6SnNKkUmk8Ffa5RyEkcoUxUxoPyQiD1cOhmfvaOzTjD1URXetqf0+G5OBlITLlmtLak3LuPnmS/iktakiQAQ0W0ghkz+Ah5+QUYdx9bOHkMnzkFQkzZSWVbKDfw6d7I0CSGRqfJzMnA3N1NaDmhoXE78llFPSI/VSiViD283e9uIiIiIiIhqu/gU7Qn5HCCTVf+EeIFaeZRTMplDmarG7AHl/Px83Lp1Czdv3tT7Z45jT58+Hf3794enpydkMhmWL19e7j4lJSVo1qwZZDIZvvjiC731arUan3/+OcLCwuDg4ICWLVti9erVVW5rdVKWFOPqib3ScliLTpArqvevXTVRSEQ72NqX3kZy2QppL4QQOLV7PVZ//Bpy0hKlcnsnZwx+bSYee/4d2MhNe65s7R3w5ORPUa9xpFSWmZyAX+dOwb28HDO1nB4laVqjkwHAv0GEUft5BYQisFEraZmT8xEREREREenTHqFc3ekuNAK87KTHSUx5QVVkloByYWEhpk6dCh8fH7i5uSE0NBRhYWF6/6oqIyMDs2bNQmxsLFq1alXxDgDmz59fbjD7ww8/xHvvvYfHH38c8+fPR3BwMJ555hmsWbOmyu2tLgnnj6Lwbp603LLnE+Vs/ehQ2Nqjfqsu0vKV43uqNdhVeDcPv3/3H/y96huolCVSuU9wIzw/Yykat+9d6WPb2jviycmfITC8pVSWkXQdv33xJtMOkMlSb5TmT3ao4wJnd2+j922lNUo5OzURSVfPmrVtREREREREtVlxiRqJGVoBZf/qnZBPQ3tivtTsYqhUHAxElWeWYawTJkzAihUrEB0dje7du8PDw8Mch9Xj7++PlJQU+Pn5ISYmBu3bty93+7S0NMyaNQvvvfcePvroI731SUlJ+PLLL/H6669jwYIFAICXXnoJUVFReOeddzBy5EjI5XKLnIs5aae7qOPmhXqNjAu2PwoatYvC5WP3Jyu8k3kbGYnXUDeoocXrTb52AX8snoE7mbe1SmVo3WcYeo6eaPKoZEPsHJwwbMpcrP/630iOOw8ASL8Vh9++eBMj3/lGZ8I0ovJo50/29A816far8HZRcPjlWxTevf+HjNN/b+RnEBE90oqKinDy5EmkpaWha9eu8PY2/o90RERE9PC5mV4Itbp02XojlEsDykqVQFpuMfw97cvZg6hsZhmhvGHDBrz00ktYv349pkyZgjFjxhj8V1X29vbw8/Mzevv3338fjRs3xr/+9S+D6zdv3oySkhJMmDBBKpPJZHjttdeQmJiIw4cPV7nNllZUcBfXz/wjLTds0x0yG6bG1ghr0QkKu9IPyMsxey1an1CrcezPVVj76es6wWQHZzdEv/EJej87xSzBZA07RycMe/ML+NVvJpWl3byC3758C4X38srZk6hUms6EfI1N2ldha4+IrqWT8109uQ8F+blmaxsRUW0yb948+Pv7o1u3bhg2bBjOnr1/10ZGRga8vb2xdOlSK7eQiIiIqlt8SunoZBsZEOxjpRHK3rrB42ROzEdVYJbIlkwmQ5s2bSresBodO3YMK1aswMGDB8scbXfq1CnUqVMHTZs21Snv0KGDtL5bt24G901LS0N6erpOWVxcHABAqVRCqVRW9RSMcvn4HihLSpOpR3QfXG11l0WpVEKlUlm9HQAgk9siJKIDrp06AAC4fGw3Og0Za5G67uXlYMfST3DjwjGdcr/6zTDo1ZlwdvfW6xNz9JXc1h7Rb3yGjV+/LaUuSE24hN++/DeenDIX9o51Kn3smqQmva5qMlP76V5eDvKy0qRlv7BmJvdxs66DcGLHOgD3J+c7d2Ab2jw+0qRjWANfU8ZjXxmPfWW86u4rS9ezbNkyTJkyBaNHj0bfvn0xbtw4aZ23tzd69+6NNWvW6JQTERHRwy/hdumEfIF17WFna51BgB7OCjja2aCg+P5w6eTMIrS1SkvoYWCWgPLQoUOxa9cuvPLKK+Y4XJUJITBp0iSMGjUKnTt3RkJCgsHtUlJS4Ovrqxdw9vf3BwAkJyeXWcfChQsxc+ZMg+vy8vKQk5NTqbab6sKh7dJjV+8A2Dp7VVvdZVGpVMjPzweAGpEyJKBxWymgnJOaiBtXLsDNJ9Csddy+dh77V3+NgjtZUplMZoOInk+iTb9noISNwefFnH3V64X/YMeP05GVdB0AkBofi/Vf/RuPvzgdtg7WuaXGnGra66qmMrWfki6f0ll28g40+TPExtEVvvUjkHr9AoD7k/OFtXvMKjMXm4KvKeOxr4zHvjJedfdVXp5l79z58ssvMXToUPzyyy/IzMzUW9+2bVvMmzfPom0gIiKimud6SmlA2VrpLoD7g0H9veyl9iRnFlewB1HZzBJQnjZtGp566imMHz8er7zyCoKDgw3+MPD09DRHdRVavnw5zp07h99++63c7QoKCmBvr58vxsHBQVpflgkTJmDkSN0ReHFxcYiOjoaLiwvc3d1Nb7iJ7uZmIUVrAqzGHXpXS70V0YwAcnNzg0JhvvQOlRXRqQ/++XUB1Kr77Uq9ehIhjSLMcmy1WoVjf6zEsa0/QYjSpEhOrh7oN+5DBDcr/+99Zu0rd3eMfPtrrP/q38i4dX+0fPqNy9j70ycY+sZnsKvlQeWa9rqqqUztpyuZSdJjO8c6CAwNr1QguHXvJ/HX/wLKeZm3cS/9JgJreC5lvqaMx74yHvvKeNXdVy4ulp1bIC4uDm+88UaZ6z09PQ0GmomIiOjhJYTA9ds1I6AMAAFedqUBZaa8oCowy9V7eHg4gPspIv7v//6vzO1UKpU5qivXnTt3MHXqVLzzzjsICgoqd1tHR0cUFem/gQoLC6X1ZfHx8YGPj4/BdQqFolp+GF07uU8niNmq59Aa8+NVLpdXWz9UROHqjpCIdog/ewQAcPXEXnQZ+kKVj5ufnYFtP/4Xty6d1Cmv1ygSQyb8F06u7kYdx5x95ezmiZFvf41fP5+MjP+NVE6OO4ct332AYVM+h6197Q4q16TXVU1mSj9p/vgAAF7+IbC1ta1UnY3b98LeNfNR+L/8yef2/46QCv6gUhPwNWU89pXx2FfGq86+snQd7u7uyMjIKHP9xYsXTZoLhIiIiGq/7Hwl7twtjYXV97dO/mSNQK08yslZDChT5Znlyvqjjz6qMbc2f/HFFyguLsaoUaOkVBeJiYkAgOzsbCQkJCAgIAB2dnbw9/fHnj17IITQaX9KSgoAICAgoNrbb4rYIzulxz7BjeDmzR8pZQlv21MKKGckXkduejLc6lb++Y0/dxR/LpmNgrwcqczGRo5OQ8ag0xNjrfp+cHJxx8h3vsG6z99AZnICACDx8mls/PZ9PDn5M9jaW/cLjGqWVK0J+XxCGlX6OApbO0R0HYAT29cAAK6e2I97eTlwcnGvahOJiGqFgQMH4ocfftCZ7FnjwoUL+PHHH5k/mYiI6BETn6J757u1Ryj7e5UGlG9nFUOlEpDLa0Y8j2oXswSUZ8yYYY7DmMXNmzeRnZ2NiAj9lAZz5szBnDlzcOrUKURGRiIyMhJLlixBbGwsmjVrJm139OhRAEBkZGR1Ndtk2am3cDs+Vlpu2vlxK7am5mvYuht2rpBDqO//ZfDKiX1o3/9pk4+jUirxz8YlOP7nKp1yZ4+6GPTKdNSrIbf4O7l6YOQ732Ld528gK+UGAODWpZPYPH8qhr7xKWzt9FO90KOnIP8O7mSkSMuB4S2qdLyWUUOkgLJapcTFf/5Cu/6jq3RMIqLaYvbs2ejYsSOaN2+OIUOGQCaTYcWKFVi6dCnWr18Pf39/fPTRR9ZuJhEREVWj+NuF0mNnBzm83Sp3R6i5BGoFlJUqgfTcYvh5Mj5AprPO1JIW9MYbb2Djxo06/77//nsAwNixY7Fx40aEhYUBuD+ZoK2tLRYuXCjtL4TA4sWLERgYiC5duljlHIxx6egu6bGNjRwRXQdasTU1n6OzG4IaR0rLl4/tNvkYdzJuY+1nk/SCySER7THmvz/VmGCyRh03Tzz17rfw8CtN/XLjYgx+X/AhlCW8tYWANK3RyQDgX79qucU9/YIR1KS1tHx6z0YIIap0TCKi2iIgIAAxMTHo378/1q5dCyEEfv75Z2zZsgVPP/00jhw5Am9vb2s3k4iIiKpRglb+5FB/B6vf3R/gpRs8TmIeZaoksyeTy8/Px61btwAAQUFBcHZ2NuvxFyxYgJycHCQnJwMAtmzZIqW0mDRpEtq0aYM2bdro7KNJfREREYHo6GipvF69epgyZQrmzp2LkpIStG/fHps2bcKBAwewatWqGj07e8L549LjoKZt4OjsasXW1A7h7aJwM/YEACA14TLystPh4lHXqH2vntyP7Us/QdG9fKlMrrBF1ydfQrv+T1v9S6Esddy88NQ787D2s0nISbv/Pkk4fxRbvpuGIa/PhsLWzsotJGtKvXlZemxr71ilNDAaLaOewK1LpwAAuenJSLx8WifITET0MPP19cWSJUuwZMkSpKenQ61Wo27durCxeejGcBAREZER4mvQhHwA4OGigIOdDQqL78/HlZJZbOUWUW1ltqvb48ePo1evXvDw8EDz5s3RvHlzeHh4oHfv3oiJiTFXNfjiiy8wbdo0LFq0CACwYcMGTJs2DdOmTUN2drbJx/v0008xZ84cbN++Ha+//joSEhKwcuVKPPPMM2ZrsyU89e48DHvzCzTt3A+RvZ+0dnNqhfA2PQCtwG/cyf0V7qMsKcbfq77B7ws+1Akmu3n7Y/QH36H9gGdqbDBZw9nDG0+9+61OsPD62cPYumg6VMoSK7aMrC01oXSEsqd/iFleyw3b9ICjs5u0fHrPxiofk4ioNrCxsYG/vz/2779/fVG3bl34+vpKwWRzDVbIz8/H9OnT0b9/f3h6ekImk2H58uV6240de39Ohwf/NWnSxOi6fv/9d7Rp0wYODg4IDg7G9OnToVQqq3wOREREjwKlSuBmWukI4JoQUJbJZAjwKh1YlpTJEcpUOWYZoXz06FH07NkTdnZ2eOmll9C0aVMAQGxsLFavXo0ePXpg79696NChQ5Xr0ow2NkVoaGiZt13b2Nhg6tSpmDp1ahVbVr3kCgXCWnREWIuO1m5KrVHHzQuBDVsg6epZAMClo7vRus/wMrfPTk3E1sXT9dICNGjdDQNfngY7ByeLttecXDx98NS787D204m4k3kbAHDt9EFsXTwDg1+dCbnC7DcrUC2g/dr2rcKEfNoUtnaI6DYQMX+tBgDEnTyAe3ey4eTqYZbjExHVZIWFhXjssccwd+5cTJ482SJ1ZGRkYNasWQgODkarVq2wd+/eMre1t7fHkiVLdMrc3NzK2FrXn3/+iejoaPTs2RPz58/HuXPnMHv2bKSlpUkDO4iIiKhsiemFUKpKY1Fhfg5WbE2pAC97XE+5n9s5mQFlqiSzRJE+/PBDBAYG4uDBg/Dz89NZN2PGDHTt2hUffvghdu7caY7qiCotvG2UFFBOuXa+zEBX7JFd2PXTXBQX3pPKFLb2iBo1AZG9h1Vbe83J1csXT703D2s/nYS8rFQA90dpb/thJga9Mh02cgaVHyVF9/KlNCgA4N+gavmTtbWMGiIFlNUqJS788yfaD6jZd30QEZnDN998g2PHjuHNN99ETEwMfvzxRzg4mPfHo7+/P1JSUuDn54eYmBi0b9++zG0VCgX+9a9/Vaqet99+Gy1btsSOHTug+N8fnl1dXTFnzhxMnjzZpJHOREREj6LrKaXpLmQyIMS3ZgSUA71L8ygzoEyVZZaUF0ePHsUrr7yiF0wG7ueSGz9+PI4cOWKOqoiqJLxtlPRYCIG4Uwd01pcUFWLH8s+w7YeZOsFkD98gPPvRD7U2mKzh5u2Pp96dBxcPH6nsSsxebPtxNtQq3sL6KEm7eVVnOaBhc7Md28M3CMFNS3PZn9mziZPzEdEjwdbWFt999x2WL1+ODRs2oGvXrrh586ZZ67C3tzd4zV0WlUqFO3fumFTHxYsXcfHiRYwfP14KJgPAhAkTIITAb7/9ZtLxiIiIHkXxtwulx/6ednC0rxnzdPlrTcx3O6sYKjV/q5HpzBJQtrGxKTefmkql4mQkVCO4evnCL6yptHzp6G7pcWZSPFbNHo9z+7fq7NOkQx88P2sZvAPrV1s7LcndJwAj3/0Wzu6lM81fPrYbf/7fHPw/e/cd19T5/QH8k8HemwRBhoIDt1Jxb3EPtHW1tXX+7PLbVmu1VVutnXY5q1ZtHXVvba3V2jpxT1BEGQKBsDcJSe7vj5SbRGSH3JCc9+vlq3ly7+UengZIzn3uOSqVksPIiCGlJ2g15LO0hotnE71+/ba9R7GP8zIlePrghl6/PiGEGLNXXnkFFy5cQG5uLjp16oTTp09Xf1ADKC4uhqOjI5ycnODq6oo33ngDhYWF1R5386a6uWrnzp11nheLxWjSpAm7nRBCCCGVSzCyhnzlfLQSygolg4xcasxHak8v97h369YNa9aswaRJk9C0aVOdbUlJSVi7di26d++uj1MRUm/NO/VGWnwMACA59jZKiwrw6Ma/OLPjOyjkmts9LKxs0G/yXIT2GMpVqA3GxasJxs//AXu+fBtFeVkAgAeXT4HP42PwtA/B5xvHlVPScNKTNPWTXbz9wNPzRb9mHXvCxsEZJQW5AIBbfx+CX8tOej0HIYQYs/bt2+P69euYNGkSIiIi0LNnT4OeXyQSYf78+ejYsSNUKhX++OMPrF27Frdv38bZs2d1Vh4/SyKRsF/jeV83NTW1ynNLpVJkZGToPBcXFwcAUCgUZtvYT6FQQKlUmu33Xxs0VzVXk7kqKyvD7NmzMW7cOAwZMqTS/X7//Xfs27cP69evh4WFRUOEyyl6XdUczVXNVTVX2iUvmnpZGc18ejrrft5/Ki2Bu2PD5wDodVVzhp6rupxHLwnlFStWoFevXmjRogXGjBmD4GB1c6eHDx/i8OHDEAqF+Pzzz/VxKkLqrXmn3ji3bz0AgFEpsfvLN5GZ/ERnHzdxAEa++RlcvX25CNEgXL39/ksqv4Xi/BwAQPSlk+AJBBg89QO9JxiJcdFeoezp10zvX18gtEBoj6G4+vtOAMBjas5HCDFDzs7OOH78OJYuXYrly5cb9NzPvveeMGECgoODsWjRIuzbtw8TJkyo9NiSEvUHYCsrqwrbrK2tqy2hsXbtWnzyySfP3VZQUIDc3NxqojdNSqWSXSEuENDF+6rQXNVcTebqs88+w40bN3DnjrqXTHh4eIV9Ll26hMWLF0OhUGDhwoVYtGhRwwXNEXpd1RzNVc1VNlcFxUpkF2iSdB72SqP5+8djGFhZ8CArU5e6eJyciwD3hk9c0uuq5gw9VwUFBbU+Ri8J5Q4dOuDy5cv46KOPcOTIERQXq2vP2traIiIiAsuXL0erVq30cSpC6s3Fqwk8mgQhI/kxAFRIJof2HIYBL78HgdD0rso/y03UFC/O+wG7v3qbXUl6//wJ8Pl8DHxlHiWVTZS8pBg56U/ZsT7rJ2tr02sEm1BWqZS4d/4EwoZObpBzEUII1+Lj4+Hh4VHheR6Ph08++QTjx49HVlYWB5Fp/O9//8PHH3+Mv/76q8qEso2N+rZcmaxio57S0lJ2e2XmzJmD8ePH6zwXFxeH0aNHw8HBAc7OzrUP3gSUr/5xcnKqcoU4obmqjZrMVb9+/fDzzz9DLpdj8uTJ2LFjh85K5d9//x2TJ0+GXC6HpaUl+vXrZ5I/p/S6qjmaq5qrbK6SsnVLTIUGucHZ2dKgsVVF7JbF1njOLREY5GeeXlc1Z+i5cnBwqPUxeouqdevWOHjwIFQqFXuLm4eHB9VOJkapWafebEK5nJWNPQa88j5avNCfo6i44eYTwCaVSwvzAAB3/z0GPl+A/i+/Bx6Px3GERN+kT+MArSZ54qCGSSi7eDWBX6vOSIq+BkDdnK9LxES6UEEIMUnPln17Vmhow/yurQ0bGxu4ubkhOzu7yv3KS11IJBL4+urerSWRSBAWFlbl8Z6envD09HzuNqFQaNYfIgUCgdnPQU3RXNVcdXM1YsQI7Ny5E5GRkSgoKMC4ceOwf/9+DB8+HMeOHcO4cePYZPLOnTsxfPhwA38HhkOvq5qjuaq5581VUkYZ+9jGkg+xuw34fOP5bO3jbsUmlCXZZQb7/0yvq5oz5FzV5Rx1+lSflJSk07G6fJyUlITk5GTIZDLIZDIkJyfrbCPEWIR06QtoJUo9/Zrj5aWbzS6ZXM69SSBenPc9rO00V6Vunz2MMzu/B8NQx1dTI03UlLsQWFjCReTXYOdq23sk+zg/Kw1J1JyPEGIiqno/XNU/LhUUFCAzM/O5K6m1tW/fHgBw7do1nedTU1ORnJzMbieENB7Dhw/H/v37YWlpCZeAnli2IwVT3vkRkZGRbDK5PMlMCKm/eK2GfP7e1kaVTAYAsVZjPklWxTuSCKlOndLc/v7+4PF4KCkpgaWlJTuujlKprMvpCNE7N7E/+k/5H+6dO4GmrTqj+5hp4AvM+wqZh28zjHv/e+z9ei5kxer6ObdOHwCfJ0CfiW/RSmUTkp6oacjn6uXboE0Ym3XoAVtHF7ZO960zB9G0VecGOx8hhBiKMb8fLi0tRVlZWYXbF5ctWwaGYRAREcE+V1ZWhsePH8PJyYldmdy6dWu0aNECGzZswKxZs9jafevWrQOPx8O4ceMa/HsghOjf8OHDsWPXAWy44AaBhTWyANh6tgKk0ZRMJkTP4rUa8gV4V10qigtid62EcrYcShUDgZElvYlxq1MGbfPmzeDxeGzn1/IxIY1J+75j0L7vGK7DMCpeTYMx/v3vsOfrdyAvKQIA3PhrL3gCAXq/OId+zk1EutYKZQ+/5g16rvLmfFdO7AAAPL51AUV52bBzcm3Q8xJCSEPj8v3w6tWrkZubi9TUVADA0aNHkZycDAB46623kJOTgw4dOmDixIlo0aIFAODkyZM4ceIEIiIiMGrUKPZrpaSkoGXLlnj11VexdetW9vmvv/4aI0eOxKBBgzBhwgTcu3cPq1evxvTp09GyZUuDfJ+EEP1r2qonBFc0PWSCwqeji9s9SiYTokdKFYPE9FJ2bJQJZa0Vygolg8w8ObxcKjbjJaQydUooT506tcoxIaTx8vIPwbj3vsW+b/4Heam6web1k7vA5/PRc9xsSio3cmWyUmSnJrJjcWDrBj9nm14j2YQy819zvheGTWnw8xJCSEPi8v3wN998g8REze/yAwcO4MCBAwCAKVOmwNnZGcOHD8epU6fwyy+/QKlUolmzZlixYgXef//9GvU4GT58OA4cOIBPPvkEb731Fjw8PLBw4UIsXry4wb4vQkjDO3r6JgAnduwR1B17t2/AsGHHKKlMiJ6kZsogV2hKR/qLrDmM5vl83HSTxymZlFAmtaOXe/yTkpLg4eFRacfnkpISZGRkwM+v4ep0EkL0RxTYCpHvfYt9K99F2X9J5au/7wSfL0D3sTMoqdyIZTyNA8Oo2LE4uE2Dn9PZU4ymrbsg8f5VAMDts4cQNmQSNecjhJA6SkhIqHafbdu21ehr+fv7V9ovYfTo0Rg9enQtIiOEGLNjx47h938S4B7YQ+d53y6vIDIykspeEKIn2vWTAeNcoeziIIS1JR+lcvVnw9QsGTo2d6jmKEI09PJpPiAgAAcPHqx0+5EjRxAQEKCPUxFCDEQc1BqR//saFpaaq6lRx7fh0uEtHEZF6ku7frJAaAE3UVODnFe7OV9BVjoSY64b5LyEEGIot27dwm+//abz3MmTJ9GrVy+88MIL+OGHHziKjBBC1MnkyMhIOHi1qrDNO6Q/LByaIDIyEseOHeMgOkJMS3yaptyFl4sl7KwbrmdNXfF4PIjdLNlxaiY15iO1o5eEcmWrGsqVlZXV6NY6Qohx8WneFmPf/QZCS82tL5eObMGlI1u5C4rUi3b9ZGfPJgZrRhnUvgdsHTV1k2+dqfwiJCGENEbz58/H7t272XF8fDzGjBmD+Ph4AMC7776LDRs2cBUeIcSMlSeTBTZusLJ7fh+L5t2nQy6XU1KZED3QXqEc4G185S7KibTKXqRmU0KZ1E6ds7z5+flISkpCUlISACArK4sda/+7c+cOdu3axXaNJoQ0Lk2C22Hs3K8htND8sbl46GdEHa/ZrbTEuEi1Vih7+DUz2HkFQiFCew5lx09uX0RRXpbBzk8IIQ3t9u3b6NFDcxv5r7/+CoFAgJs3byIqKgrjxo3D+vXrOYyQEGKudu3aBblcDjff9jrP92rjzD4WtYqAo4c/5HI5du3aZdgACTEx8RLthLLxlbsop11HmVYok9qqc0L5u+++Q0BAAAICAsDj8TB37lx2rP2vQ4cOOHHiBGbPnq3PuAkhBuTbogNGv/MFBBaaW2LO79+Aq7/v5DAqUluKMhmyUuPZsSiw4i2PDaltrxHAf/W3GZUS986dMOj5CSGkIeXl5cHNzY0dnzhxAgMHDoS7uzsAYODAgYiLi+MqPEKIGduyZQsmT56MKTM/ZJ8TuVri9SEilN9IzICH6Qu3YfLkydiyhUrcEVJXRaVKSHPL2HGAyHgTymKthLIkWw6lqurqA4Roq/O9zoMGDYK9vT0YhsH8+fMxceJEdOzYUWcfHo8HOzs7dOrUCZ07d653sIQQ7jRt1Rmj3/och35cAKVC/Qfy373rwBcI0GnQSxxHR2oiM/kJVEolO/Zp1vAN+bQ5eYjh37oLEu5dAfBfc76hk6k5HyHEJIhEIsTExAAAJBIJrl+/jtdee43dXlhYSCXgCCGcsLCwwPbt2zHvp0cAigAAIb628HKxQr/2LvjrRg4AIDbTAVvWbIaFhQWH0RLSuFVsyGe8JS/E7pqEskLJIDNPDi8XqyqOIESjzgnl8PBwhIeHAwCKiooQGRmJ0NBQvQVGCDE+/qFhGPXmChxa/SFUCgUA4Oyu1RAFtoa4Gf38G7v0BE39ZL5ACPcmgQaPoW3vUWxCuSBbisToa/APDTN4HIQQom+jRo3CqlWrUFpaiqioKFhZWWHMmDHs9tu3byMw0PC/dwkhBACUSgaPUjSJruAmtgCAl/p44fTNHDCMOqG0/1wGZg334SpMQhq9BImmIZ+lkKdTp9jYiJ+JLTWLEsqk5vSyTGLJkiWUTCbETAS07YqRc5brNHN7cOU0hxGRmkrXqp/s7OkDgdDwq08C23WDnRM15yOEmJ7ly5dj7Nix2LZtG6RSKbZu3QovLy8A6t4j+/btw6BBgziOkhBirpKkpZCVqdhxiK8dAKCJhzV6hDqzz/9+JRO5hQpDh0eIydBeodzUyxoCPo/DaKrm6iCElYUmLZhCdZRJLdR5hfKzSktLsX//fty4cQN5eXlQqVQ623k8Hn7++Wd9nY4QwqGg9t0R0qUvYi6fAgCkPLrLcUSkJtITNSuU3ZsEcRKDujnfcEQd+xWAujlfYW4m7J3dOYmHEEL0xd7eHjt27Kh0W3JyMmxtbQ0cFSGEqD1MLmYf8/lAkFhT1/WlPp44dzcXACArY3DoQgamDhYZOkRCTMIT7YZ8Rlw/GVDn6cRulohPU6+qlmRRQpnUnF4SyomJiejbty8SEhLg7OyMvLw8uLq6Ijc3F0qlEu7u7rC3t9fHqQghRsI7sBWbUM5MfgylooyTFa+kZpSKMmQmP2HHoiDDNuTT1rbXCEQd3wYwDBhGhXvnjqPriFc5i4cQQhoan8+Hk5MT12EQQszYw6eahHKAt43OqsQgsS3CQhxx5WE+AODopQyM6+UBexu9rT8jxCyoVAwS0jUlLwK8jTuhDKjrKJcnlFMooUxqQS8lL+bNm4e8vDxcvnwZsbGxYBgGu3fvRmFhIb788kvY2Njg5MmT+jgVIcRIiINas49VSgUynj7mMBpSncyUJ1ApNbcvGrohnzZHd28EhL7Ajm+fPQzmmbtaCCGEEEKI/sRqrVAOaVLxbokJfb3Yx8UyFY5ezjRIXISYkrQcOUrlms81xtyQr5x2HeVUSiiTWtBLQvnMmTOYM2cOwsLC2O7VDMPAysoK8+bNQ//+/TF37lx9nIoQYiQ8fJtBILRkx6mP73EYDamOdv1kHl8AD19uSl6Ua9N7BPu4MCcDCfevchgNIYQQQojpKpWrkJCu1ZDPt2JCuWVTO7QL1NxVfOh8BkrlSoPER4ip0K6fDDSOFco+WgllSZYcShXDYTSkMdFLQrm4uBj+/v4AAEdHR/B4POTl5bHbw8PDcf78eX2cihBiJARCC3j5B7Pj5NjbHEZDqiPVbsjnIYbQgtvuvUHtuunUTabmfIQQQgghDeNxajG0bwYLfs4KZQB4SWuVcn6xEr9fyWro0AgxKQkSTbkLN0cLONoZf9kYkVZCWaFkkJlXxmE0pDHRS0LZz88PycnJAAChUAgfHx9cvnyZ3R4dHQ1ra+Nf6k8IqR1RoKYOb9qTaA4jIdVJT9BqyMfx6mQA4AuECO05jB3H37mEwhy6tZIQQgghRN+0y11YW/Lh5/n8z+btg+wRorV6ef+5DMgVVJaMkJrSXqHcGMpdAICPu+5CIyp7QWpKLwnlfv364fDhw+x46tSp+O677zBjxgxMmzYNa9aswYgRI6r4CoSQxkgUqKmjXJAtRXFBLnfBkEopFbo1rkUBLTmMRqNNz+EAjwcAYBgV7p47xnFEhBBSfzKZDJcuXcLhw4eRmUkXyggh3NNuyNfMxwYCPu+5+/F4PJ1ayln5ZfjrenaDx0eIqdBJKIuMv9wFALg6CHWadFJCmdSUXhLKCxYswKJFiyCTqV94CxcuxKuvvop9+/bh8OHDmDRpEr799lt9nIoQYkREWo35AFqlbKyyJQlQKuTsWNy8LYfRaDi6eyOgjaY5352zh6FSUa0+Qkjj9eOPP0IkEqFHjx4YO3Ys7ty5AwDIzMyEu7s7Nm/ezHGEhBBz9LCahnzaXmjhqLOycu8/UiiVVFOVkOqUyJSQZGs+czWG+smA+kKS2E2rN1ImJZRJzeit5EVkZCSsrNRL5a2trbFp0ybk5OQgMzMTW7duhaOjoz5ORQgxIg6unrBzcmPHKXF3OYyGVEanIR+PB0/fZhxGo6tt71Hs48LcTCTcu8JhNIQQUndbtmzB3LlzERERgZ9//hkMo0nAuLu7o1+/fti1axeHERJCzFFekQJpWkmuEF+7Kvfn8Xg6tZTTcuQ4ezunweIjxFQkSWXQ+tPfaEpeAIBYq44yrVAmNaWXhLKhFBYWYsmSJYiIiICrqyt4PB62bt2qs49KpcLWrVsxcuRI+Pr6ws7ODqGhoVi+fDlKS0uf+3V//vlntGzZEtbW1mjevDlWrVplgO+GkMaPx+Pp1FFOib3DYTSkMumJmvrJTh5iWFgZz5ubwLZdYe/iwY5v/03N+QghjdPKlSsxatQo7Ny587ml3jp16oT79+9zEBkhxJxp108GKm/Ip61HqLNOXdXd/6RDpaJVyoRUJSFdk28SCnho4mE8n7mqI9b6eU+hhDKpoTollJOSkur0r74yMzPx6aefIiYmBu3atXvuPsXFxXjttdeQkZGB2bNn4/vvv0dYWBiWLFmCIUOG6KwWAYCffvoJ06dPR+vWrbFq1SqEh4fj7bffxpdfflnveAkxB9plL6RJj8CoqHGHsZFqrVB28wnkMJKKKjbni0JBTgaHERFCSN3ExcVhyJAhlW53dXVFVlaWASMihBAgVqt+srO9EJ7OFtUeI+Dz8GJvT3b8VCrDxei8BomPEFMRn6ZJKPt5WkEoeH6tcmOkvUJZkiWHki4gkRoQ1uUgf39/8Hi1/+FQKutXG1MkEkEikcDb2xvXrl1Dly5dKuxjaWmJCxcuoFu3buxzM2bMgL+/P5YsWYLTp09jwIABAICSkhIsWrQIw4YNw759+9h9VSoVli1bhpkzZ8LFxaVeMRNi6kRBmhXKZbISZEsS4eYTwGFERJtKpYQ0KY4dewe04DCa52vTaziijv4KhlGpm/P9ewzdRr3GdViEEFIrzs7OVTbhi46Ohre3twEjIoQQ3frJwU1sa/w5vl8HV+w4nQZpbhkAYNff6eje2qlOeQBCzEGCVkK5sdRPLqedUFYoGWTmlcHLxbKKIwipY0J58+bNnPwhsbKyqvaNuKWlpU4yudyYMWOwZMkSxMTEsAnlv//+G1lZWZgzZ47Ovm+88QZ27NiB48ePY8qUKfr7BggxQd7+LcDj8cEw6pXJqU+iKaFsRHIkSVDINW9umhhJQz5tjq5eCGjbFU9uXwQA3PnnCLqOeAV8voDjyAghpOaGDh2KDRs2VHhfCQD379/Hxo0b8frrr3MQGSHEXDEMo1PyorqGfNqEAh7G9fLE2iMpAIDHqSW4FluALiHUG4mQZzEMo1Pywr/RJZR1k8epWTJKKJNq1SmhPHXqVD2H0fDS0tIAqJuilLt58yYAoHPnzjr7durUCXw+Hzdv3qSEMiHVsLCygXuTQGQ8Va+CTY69jTZaJQwIt7TrJwM8eDYN5iyWqrTtPZJNKBflZiLhbhQC21W8OEgIIcZq+fLleOGFFxAaGooRI0aAx+Phl19+webNm7F//36IRCIsXryY6zAJIWZEmitHXpGCHYf41jyhDACDOrvhtzPpyClUf41df6ejc7ADrVIm5BlZBUoUlWpKPwaKGldC2c3RAlYWPMjK1KUuUrNk6NDMgeOoiLGrU0K5MjKZDDdu3IBUKkX37t11krdc++qrr+Do6KhT204ikUAgEMDT01NnX0tLS7i5uSE1NbXSryeVSpGRoVvnMy5OnVBTKBRQKBTPO8wsKBQKKJVKs56DmjKVufIKaMkmlCWP7zXI92Mqc9XQnp0nSbwmoezo5gW+0NIo59C3ZWfYu3ig8L/6yTdPH4Bf67AGPSe9pmqO5qrmaK5qztBz1dDnEYvFuH79OhYuXIjdu3eDYRhs27YNDg4OmDhxIr744gujem9MCDF9D5/qNuRr7lO7hLKVBR9je3ri59/Vn4ujE4twN74IbQPt9RYjIabgaUaZzjjAu/E05AMAHo8HkZsVW7YjNZMa85Hq6S2h/OOPP2Lp0qXIy1MX6z916hT69euHzMxMtGjRAl999RVnt/mtWLECf/31F9auXQtnZ2f2+ZKSElhaPn8Zv7W1NUpKSir9mmvXrsUnn3zy3G0FBQXIzc2tT8iNmlKpRGFhIQBAIKBb1qtiKnPl5O3PPs5JT0ZGmgQW1vq9Kmsqc9XQnp2n1CfR7DZHL1+j/t0U1Lk/bp/aBQBIuH8FKQlxsHNuuOQLvaZqjuaq5miuas7Qc1VQUNDg5/D09MSmTZuwadMmZGRkQKVSwcPDA3x+nfpgE0JIvWjXTxa5WsLRrvYf/4e+4IbdZ9NRWKLuh7Tr73RKKBPyjKeZmoSys70QLg7VN780Nj7aCeUsSiiT6uklobxlyxbMnTsXEyZMwKBBg3QSx+7u7ujXrx927drFSUJ59+7d+OijjzBt2jT83//9n842GxsbyOXy5x5XWloKG5vKE2Jz5szB+PHjdZ6Li4vD6NGj4eDgoJO4NjflK4CcnJwgFOp1EbzJMZW5CmzdGRfKBwyD0tw0eLTooNdzmMpcNTTteRLw+chJjWe3NWkWatS/mzoNGIs7f+1R1+NmGDy9cx5dR05tsPPRa6rmaK5qjuaq5gw9Vw4Ohr1108PDw6DnI4SQZ8VqrVCubbmLcrZWAozu5oHtp9UlJG/GFeDh0+I6fz1CTFGS1grlxrY6uZxIqzFfCiWUSQ3o5d37ypUrMWrUKOzcuRNZWVkVtnfq1Ak//vijPk5VK6dOncIrr7yCYcOGYf369RW2i0QiKJVKSKVSnbIXcrkcWVlZEIvFlX5tT0/PCqUyygmFQrP/ECkQCGgeasgU5srDxx9WtvaQFatXmqUnxCAgtIvez2MKc2UI5fOUn5GKMpnmTosmwW2Neu5cPEQIaBeOJ7fUlyfunTuGbqOmgi9ouJjpNVVzNFc1R3NVc4acK32fIykpqU7H+fn56TUOQgh5HqWSwaMUzfvA4Fo05HvWyG7u2H9OihK5ukbs7rNpWPxyYL1jJMRUPNVJKDeu+snlfNw1CWVJlhxKFQMBn+qlk8rp5Z11XFwc3n777Uq3u7q6PjfR3JCioqIwZswYdO7cGXv27Hnuh4j27dsDAK5du4ahQ4eyz1+7dg0qlYrdTgipGo/Ph3dASyTevwoASIm9zXFEBADSE2N1xt7+LTiKpOba9R7JJpSL8rIQfzcKQe27cxwVIYRU5O/vX6fGVEqlsgGiIYQQXUnSUsjKNE3CQnzt6vy1HGyFGNbVHfv+lQIALkXnIz6tpNEmzgjRJ3mZCpIcTZ8G/0b6cyF205SDVSgZZOaVwcvl+SViCQH0lFB2dnZGZmZmpdujo6Ph7e2tj1PVSExMDIYNGwZ/f38cO3as0tIV/fr1g6urK9atW6eTUF63bh1sbW0xbNgwQ4VMSKMnCmrNJpTTEh6AYRjqAM2x9ERNQz4HV09Y2Rp/vTv/Ni/Awc0LBVnpAIBbZw5QQpkQYpQ2b95Mf+cIIUZLu34ynw8EieuX5BrbwwNHLmZArmAAAHvOpuODCf71+pqEmIIkqQwMoxkHiBpnyQuxVskLQF1HmRLKpCp6SSgPHToUGzZswJw5cypsu3//PjZu3Ki3+smrV69Gbm4uUlPVnWaPHj2K5ORkAMBbb70FPp+PwYMHIycnB/PmzcPx48d1jg8KCkJ4eDgAdQ3lZcuW4Y033sD48eMxePBgnDt3Dtu3b8dnn30GV1dXvcRMiDkQB7ZmH5cW5iM/Kw1O7iIOIyJSrRXKbuIADiOpOT5fgDY9h+PioZ8BAIn3ryI/Kx2Obl4cR0YIIbqmTp3KdQiEEFKph1r1kwO8bWBlUb/moC4OFhjcxQ1HL6kXkv17JxcvD5BB7G5VzZGEmLaE9FL2MZ8P+Hk0zoSyq4MFrCx4kJWps+OpWTJ0aGbY/hOkcdFLQnn58uV44YUXEBoaihEjRoDH4+GXX37B5s2bsX//fohEIixevFgfp8I333yDxMREdnzgwAEcOHAAADBlyhQAwNOnTwEACxYsqHD8q6++yiaUAXVzPQsLC6xcuRJHjhyBr68vvvvuO7zzzjt6iZcQc+Ed2FJnLHl8nxLKHGIYRieh7B1g/OUuyoX2HIZLR7aCUSnBMAzu/nsU3cdM5zosQgipkXv37uHEiRNISEgAoC6NMWTIELRp04bbwAghZiU2uYh9HFKP+snaxvXyxImoTChVgIoB9vyTjrmRVBeemLf4NE1CuYm7NSzrefGGK3w+DyI3KyT89/2kUmM+Ug29JJTFYjGuX7+OhQsXYvfu3WAYBtu2bYODgwMmTpyIL774Au7u7vo4FfvmvCqM9v0GNTBjxgzMmDGjjhERQgDAxt4JLl5NkJOuvmMgJfYOWrwwgOOozFdeRipkJYXs2Ce4LYfR1I6DiwcC24Xj8c3zAIA7/xxB+MiGbc5HCCH1JZPJMGvWLGzbtg0Mw4DPV3+gVKlU+PDDDzF58mRs2rQJlpZ0+yghpGGVylU6qyaDffWTUPZ0tkT/jq7481o2AOD0zRxM7u8ND2f6vUbMl/bPWmAjLXdRTqydUM6khDKpmt4unXh6emLTpk3Izs5Geno6JBIJcnJysHnzZnh6eurrNIQQIybSKnuR+vgeh5GQjKRHOmOvpo1nhTIAtOs9in1cnJ+DJ3cucxgNIYRU74MPPsCvv/6K//u//0NMTAxKS0shk8kQExOD2bNnY/v27Zg/fz7XYRJCzMDj1GKoNP349LZCGQBe7O0F/n/l4xVKhm3UR4g5YhhGZ4VyY29UqV1HOTVLzmEkpDGod0K5uLgYnTp1wvr169nnPDw84OXlxa7MIISYB1GQJqGcmRIPRRn9EeJKepKm3IW9szts7B05jKb2moZ2gYNW3eRbZw5yGA0hhFRv+/btePnll7F69WqEhIRAKBRCIBAgJCQEa9asweTJk7F9+3auwySEmIFYrYZ81pZ8+Hrqb9Wkj7sVerZxZsd/XM1CTkGZ3r4+IY1JToECBcVKduxvQgllSbYMKlXt7v4n5qXeGV9bW1vEx8dTl2tCCERBrdjHKqWiwipZYjgZiZq5bywN+bTx+QK07TWCHSfev4r8zDQOIyKEkKqVlZWha9eulW7v1q0bFAqFASMihJgr7YZ8zXxsIODr97P6S301F/3lCgYHL2To9esT0ljEp5XojAMaeckLH3dN+ZoyBYPMfLpYRCqnlyXEEREROHnypD6+FCGkEXP3CYLQQvNHKPXxfQ6jMV8Mw0CqtULZqxE15NMW2mMYeHzBfyMGd/49ymk8hBBSlcGDB1f5fviPP/7AoEGDDBgRIcRcPdRaoazPchflArxt0LWl5u63Y5czUVBCF8yI+dEud2FvI4C7owWH0dSfSGuFMgCkUB1lUgW9JJQ//vhjxMbG4uWXX8b58+eRkpKC7OzsCv8IIaZNIBTCy1+TvEx5dIfDaMxXUW4GSovy2bFPs1AOo6k7exd3BLXvzo7v/nMUKiV9WCGEGKdly5YhPj4eY8eOxenTp5GYmIjExET89ddfGDNmDBITE7Fs2bJ6vz8uLCzEkiVLEBERAVdXV/B4PGzdulVnH5VKha1bt2LkyJHw9fWFnZ0dQkNDsXz5cpSWlj7/Cz+jT58+4PF4Ff5FRETUOmZCiOHkFSmQlq0pOxfia9cg55mgtUq5RKbCkYuZDXIeQoxZvESzQtnfy6rR37nv5mABKwvN9yDJooQyqZxQH1+kdWt13dTo6Gjs3Lmz0v2USmWl2wghpkEU1IpNJEueRHMcjXnKSn6sM/YOaMlRJPXXtvdIxN34FwBQXJCDx7cvonnHXhxHRQghFbVsqf5de/fuXRw+fFhnG8OoaxC2atWqwnG1fX+cmZmJTz/9FH5+fmjXrh3Onj1bYZ/i4mK89tpr6Nq1K2bPng1PT09cunQJS5YswenTp3HmzJkafeht0qQJPv/8c53nxGJxreIlhBiWdv1kAAhugBXKgDpR3aGZPW7GFQIADl/IwNgeHrCxElRzJCGmQ7vkhb934y53AQB8Pg8iVyskpKsvPqdQQplUQS8J5SVLlujjyxBCTIAoUNOYrzAnA0V52bBzcuUwIvOTlfKEfWzr6ApbRxcOo6kf/9Zd4OguQn6mBIC6OR8llAkhxmjx4sUGWZkkEokgkUjg7e2Na9euoUuXLhX2sbS0xIULF9CtWzf2uRkzZsDf359NKg8YMKDaczk5OWHKlCl6jZ8Q0rBiteonO9sL4enccLfgT+jrxSaUC0qUOB6VhXG9PBvsfIQYkzKFCk8zNAlXf6/Gn1AGALG7JqFMK5RJVeqdUC4uLsaRI0cwY8YMzJ49Wx8xEUIaMVFQa52x5Ek0mnXowVE05ik7RbNC2U3clMNI6o/H56Ntr+E4f2AjACAp+jryMiVwchdxHBkhhOhaunSpQc5jZWUFb2/vKvextLTUSSaXGzNmDJYsWYKYmJgaJZQBQKFQoLS0FPb29nWKlxBiWNr1k4Ob2Dboha42AfZo1dQO0YlFAIAD56UYGe4OSwu9VNYkxKglZ8igUDLsOMAEVigDgFirjnJKpryKPYm5q3dC2dbWFvHx8Y2+VgwhRD8cXDxg7+KBwhx1t+fUuLuUUDYghmF0Sl54N9KGfNpCew7DxcOboVIqATC4+89R9IicyXVYhBDS6KSlpQEA3N3da7R/bGws7OzsIJfL4eXlhRkzZmDx4sWwsKh6xaNUKkVGRobOc3FxcQDUCWqFwjzr4SsUCiiVSrP9/muD5qrmtOeKYRg8fFrEbmsutm7wORzfyx2fbFOfM6dAgd+vZGDYC24Nes66otdVzdFcVS8uRfOzxgMgdhWaxHx5u2jShJJsGeTyMvD5+sn30euq5gw9V3U5j15KXkRERODkyZOYNWuWPr4cIaSREwW2wqPr/wCgxnyGVpibqdOQTxzUhsNo9MPOyQ1B7Xuwr6k7/x5F+KjXIRDq5U8YIYSYja+++gqOjo4YMmRItfsGBQWhb9++aNOmDYqKirBv3z4sX74csbGx2L17d5XHrl27Fp988slztxUUFCA3N7cu4Td6SqUShYXq8gACAdWZrQrNVc1pz1V2IYP8Yk1ddrGLqsF/3oI8GDT1tECitAwAsO9fKV5oxodQYHwLzuh1VXM0V9V7kJjLPvZw4kFWUgCFvPHPlYOlZlVymYLBk+QsuDvq53MXva5qztBzVVBQUOtj9PKq+PjjjzF+/Hi8/PLLmDVrFgICAmBjY1NhP1dXqqNKiDkQBbVmk3/SpEdQqZTg8+kPhiFkJMbqjEVBFRtANUZte49kX1MlBbl4cvsCmnfqzXFUhBCi6/z589i8eTOePHmCnJwcthlfOR6Ph9u3b3MS24oVK/DXX39h7dq1cHZ2rnb/n3/+WWf88ssvY+bMmdi4cSP+97//oWvXrpUeO2fOHIwfP17nubi4OIwePRoODg41Or8pKl/94+TkBCFdFK0SzVXNac9VdGqRzrYOwe5wsG34+ZvYl48vdj8FAGTmK3ErERjQ0bnBz1tb9LqqOZqr6qVpXazx87QymbkK5pUByGTHRQprNHPWT9krel3VnKHnysHBodbH6CWq1q3VNVOjo6Oxc+fOSverbRdrQkjjpN2YTyGXISs1AR5NgjiMyHykJ2kSyjb2TrBzMs5bDmuraavOcHIXIU+7OR8llAkhRuTbb7/FvHnzYG1tjZCQEKNaSLF792589NFHmDZtGv7v//6vzl/nvffew8aNG/HXX39VmVD29PSEp+fzG3MJhUKz/hApEAjMfg5qiuaq5srnKk5Syj4ncrWEi6Nharr2bOuKHWekbIOyfecyMbCzOwR6uk1en+h1VXM0V1Urb1wHAE09LE1mrjxdBLAU8iBXqC+Kp+co9Pp90euq5gw5V3U5h16iMlRXa0JI4+DVNBg8vgCMSn0RSfI4mhLKBpKR9Ih97Cb25y4QPePx+WjTewTO798AAEiKuYG8jFQ4eYg5jowQQtS+/vprdO/eHUePHoWTkxPX4bBOnTqFV155BcOGDcP69evr9bV8fX0BANnZ2foIjRCiZ7FPNQ35QnxtDXZePp+HF/t4YeXeJABASqYMF+7loldbF4PFQIgh5RYqkF2gqTnr61F1b4HGhM/nQexmxSbMU7NkHEdEjJVeEsqG6mpNCGkcLKys4eEbBOl/5RdSYm+jbe8RHEdlHqRaJS88m4ZwGIn+hfYYiouHfmab89355wh6jpvNdViEEAIAKC4uxuTJk40qmRwVFYUxY8agc+fO2LNnT71XuDx58gQA4OHhoY/wCCF6pFQyeJRSwo6DmxguoQwAfdq5YPtfaUjPUddf3X02HT3bONPCM2KSEtJLdMamlFAGABEllEkN8LkOgBBimrTLXqQ+vs9hJOajMDcTRXlZ7NineeNvyKfNzskNzTr0ZMd3/z0GJXUIJoQYib59++Lu3btch8GKiYnBsGHD4O/vj2PHjj23v0m5Bw8eICkpiR3n5+dDJtP9AMkwDJYvXw4AGDx4cMMETQips6QMGWRlKnYc4mtn0PMLBTyM760pdfNEUoorD/KrOIKQxiteokko21jx4e5oWv2CfNyt2MepWfIq9iTmTO+FOAoLC/H0qbogv6+vL+zt9VO8mxDSuIiDWuH23wcBALnSFMiKC2FlS78PGpJUq9wFAIgCTaMhn7a2vUch9tpZAEBJYR4e3zqP4M59OI2JEEIAYNWqVRg0aBC++eYbvP766w1aQ3n16tXIzc1FamoqAODo0aNITk4GALz11lvg8/kYPHgwcnJyMG/ePBw/flzn+KCgIISHh7Pjli1bonfv3jh79iwA4MaNG5g4cSImTpyIZs2aoaSkBAcPHsSFCxcwc+ZMdOzYscG+N0JI3cQma8pd8PlAkLjyi0gNZWBHV+w8ncaWAtj1dzrCWjjSKmVicuLTNPWT/b2swTex17jIzZJ9LMmSQaViwDfCmuiEW3pLKF+9ehXz58/H+fPnoVKpr4zy+Xz07NkTX331FTp37qyvUxFCGgFvnWQmg7T4B2jamn4PNKT0hIfsYys7B9i7mN4tyX4tO8LJQ4y8DHUS5daZg5RQJoQYBV9fX8yaNQvvv/8+PvjgA1hbW0Mg0F2xxOPxkJeXV+9zffPNN0hMTGTHBw4cwIEDBwAAU6ZMAQB2gceCBQsqHP/qq6/qJJSf1bRpU/Ts2RMHDx5EWloa+Hw+WrZsifXr12PmzJn1jp8Qon/a5S4CvG1gZWH4m5EtLfiI7OmJjSfU79MePC3G7SeFaB/kYPBYCGlI2iuU/b0M0/zSkHzcNCuU5QoGWfll8HC2rOIIYo70klCOiopCnz59YGlpienTp6Nly5YA1Lfa/fbbb+jVqxfOnj2LsLAwfZyOENIIuHj5wtrOAaVFBQCA1Mf3KKHcwLTrJ7t6NzXJ1SA8Ph9te4/EuX3qxlJPH9xArjQFzp4+HEdGCDF3ixcvxmeffQYfHx907ty5QWspJyQkVLsPwzA1/nrP7hsQEIA9e/bUNixCCIdikzUJrhAD10/WNvQFN+w+m478YnVz7l1/p1NCmZgUpZJBolRrhbK3VRV7N05iN93vKSVLRgllUoFeEsqLFi2Cj48Pzp8/D29vb51tS5cuRffu3bFo0SKcOnVKH6cjhDQCPB4PosDWiL97GQCQHHub44hMX3qiZoWyZ9NgDiNpWKE9huLCwU1QKdW3U9755yh6jafmfIQQbq1fvx7Dhg3DoUOHwOdTmxJCiOHIylQ6Ca5gX+4SytaWAozu7oFfT6UBAG4/LkRMUhFa+hm2pjMhDSUlS4YyheZCbIC3DQDTqjPs5mgBSyEP8v++z9QsGV0YIhXo5d1uVFQUZs2aVSGZDABeXl6YOXMmLl++rI9TEUIaEVGQpuxFesKDWq2WIrVTnJ+DgmwpOxYFta5i78bN1tEFzTr2Yse3zhyAhBo/EkI4JpfLMWzYMEomE0IMLlFaBpWmHx+nK5QBYES4O2ytNL8Ld/2dzmE0hOhXfFqJzripp+mtUObzeRBprVJOzZRVsTcxV3p5x8vn86FQKCrdrlQq6c01IWZIuymcrLiQrXtL9E+aFKszNsWGfNra9x3NPi6TlWDvyneR8ugOdwERQsze8OHDce7cOa7DIISYocdpmtWR1pZ8+HpyW9PV3kaIEeGaXh5XHuTjiaSkiiMIaTziJZq7AbxdLGFrLahi78ZLu+xFapZprcAm+qGXLG+3bt2wZs0aneYg5ZKSkrB27Vp0795dH6cihDQi3gG6SU3Jk2iOIjF96Vr1ky2sbeHg6sVhNA3Pt0UHdBwwnh2XlRZj/8r38PThTQ6jIoSYsyVLliA6Ohpz5szB9evXkZGRgezs7Ar/CCFE355INMmeZj42EPC576MxuruHTmPA3bRKmZgI7RXKASLTa8hXTuymqZmcmkUrlElFeqmhvGLFCvTq1QstWrTAmDFjEBysrt358OFDHD58GEKhEJ9//rk+TkUIaUSs7RzgKmqKbIn6YlNy7G207DqQ46hMU3qCpn6yk5evSTbke1afiW+Bx+fj+p+7AQBl8lIc+HYeRr/zBZq2ogaQhBDDCgkJAQDcunULP/30U6X7KZVKQ4VECDETT7RWKHNd7qKcs70QQ8LccOhCBgDg3L1cvJxRiiYeppuAI+YhQSuh7O9tw2EkDUvsrlmhLMmSQaViwDeCi1XEeOglodyhQwdERUVh0aJFOHLkCIqLiwEAtra2iIiIwPLly9GqlWnffk0IeT5RYCs2oZwad4/jaEyXVGuFsptPIIeRGA6Px0Pvl96AQCjElRM7AACKMhkO/vABRr25AgFtXuA4QkKIOVm8eLFZXMwjhBiXvCIFpHmaC1UhvsbT/C6ypweOXc6EQsmAYYA9/0jx7jg/rsMipM4KSxSQ5pax4wBTTihrlbyQKxhk5ZfBw9myiiOIudFLQhkAWrVqhYMHD0KlUiEjQ30V0sPDg2onE2LmREGtcf/C7wCA7NQEKMpkEFqYXuMCLpUU5iMvU8KOPfxCOIzGsHg8HnpEzgJfaIHLR7YCAJRlchxatQAj5yxHUHsqt0QIMYylS5dyHQIhxAw9StGtTRxsJCuUAcDdyRIDO7ni9ytZAIAzN7Mxub83vFwoKUUap4S0Up1xgLfprrj3cdP9zJ6aJaOEMtGhl2yvQqFAfn6++gvy+fDy8oKXlxebTM7Pz6+yaR8hxHRpN4dTqZSQJj7iMBrT9GxDPo+mwRxFwg0ej4fuo6eh+5gZ7HMqhQJHVi/Co+v/cBgZIYQQQkjDepSsSSg72wvh6WzBYTQVje/tifI1ZkoVsO9fKbcBEVIP2s0lrSx4ELmZ7kIpN0cLWAo1d16lUB1l8gy9rFB+++238e+//+Leveffzt69e3f069cPP/zwgz5ORwhpRNx9AiC0tIZCrr6amxp3D+JmoRxHZVrSEzX1ky2sbODg6s1hNNzpOuIVCIRC/Lt3HQD1BYyj6xZj6MzFaBHWn+PoCCHmoLS0FPv378eNGzeQl5cHlUqls53H4+Hnn3/mKDpCiCmKTSlmHwc3sTW60jsiVyv0aeuCM7dyAAAnr2VhYl8vuDoaV+KbkJqI11qh3NRL3QBToarigEaMz1cnzBPT1d+zJEtezRHE3OglofzHH3/glVdeqXT7uHHjsH37dkooE2KG+AIhvANaIPnhLQDqxnydIyZwG5SJ0a6f7OLtZ3QfJAypy5BJEAgt8PdvPwIAGJUKJ376FCpFGVp1i+A4OkKIKUtMTETfvn2RkJAAZ2dn5OXlwdXVFbm5uVAqlXB3d4e9vT3XYRJCTAjDMIjVWqFsLA35nvViHy82oVymYHDgvBTTh/pwHBUhtRev1ZDPlMtdlBO7WbIJ5ZRMWqFMdOml5EVqaip8fCr/gyAWi5GSkqKPUxFCGiFRYGv2cVp8DIeRmKb0BE1C2dOvOYeRGIeOA8ej/8vvsmOGUeH3n1fg7rnjHEZFCDF18+bNQ15eHi5fvozY2FgwDIPdu3ejsLAQX375JWxsbHDy5EmuwySEmJD0HDnyi7Ub8hlnQrmplzW6t3Zix8ejspBfRCUxSeOiUjE6NZQDRKbbkK+cdmM+CZW8IM/QS0LZzc0NDx8+rHR7TEwMHB0d632ewsJCLFmyBBEREXB1dQWPx8PWrVsrPWdERATs7e3h6uqKl19+mW0WqE2lUuGrr75CQEAArK2t0bZtW/z222/1jpUQoqFdR7koLwuFuZkcRmNaZMWFyJUms2Pt5L05a993DAZN/QAoX63NMPhzyxe4/fchTuMihJiuM2fOYM6cOQgLC2P7iDAMAysrK8ybNw/9+/fH3LlzuQ2SEGJSYpOLdcbG1JDvWS/19WIfl8pVOHyx4mdzQoxZWrYcsjJNfYsAb/NKKKdmyaBSMRxGQ4yNXhLKERER+Omnn3Dz5s0K227cuIENGzZgyJAh9T5PZmYmPv30U8TExKBdu3aV7pecnIxevXohLi4OK1aswPvvv4/jx49j4MCBkMt1674sWrQIH3zwAQYOHIhVq1bBz88PkyZNwq5du+odLyFETTuhDACSJ9EcRWJ6pEm6TQ5FQa0q2dP8tOk1HEOmLQSPp/lT99e2lbhxah+HURFCTFVxcTH8/f0BAI6OjuDxeMjLy2O3h4eH4/z58xxFRwgxRQ+1EsoiV0s42OqlomWDaO5ji87BDuz4yMVMFJUqqziCEOOiXe4CMJOSF+6ahLJcwSCroIzDaIix0ctfnGXLluGPP/5AWFgYRo4cidat1Svk7t27h6NHj8LT0xPLli2r93lEIhEkEgm8vb1x7do1dOnS5bn7rVixAkVFRbh+/Tr8/PwAAGFhYRg4cCC2bt2KmTNnAgBSUlKwcuVKvPHGG1i9ejUAYPr06ejduzfmzZuH8ePHQyAQ1DtuQsydvYs7HNy8UJCVDgBIeXQHzTv24jgq06DdkE9oaQVnzybIy8/nMCLj0qpbBPgCIU5sXAbmv+ZYf//2A5TKMnQYMJ7j6AghpsTPzw/Jyeo7RoRCIXx8fHD58mWMHTsWABAdHQ1ra9P/8EkIMZzYp5qEcnMf418t+VJfL1yLLQAAFJYqcTwqEy/29qrmKEKMg3ZC2d3Jwqgv4OiL9gplAEjNlMHDyZKjaIix0csKZbFYjGvXrmHSpEk4ffo0li9fjuXLl+PMmTOYPHkyrl69iiZNmtT7PFZWVvD29q52v/3792P48OFsMhkABgwYgODgYOzZs4d97vDhwygrK8OcOXPY53g8Hv7v//4PycnJuHTpUr1jJoSoaZdiSH10l8NITIt2Qz5Xbz/w+Hr5tW5SWrwwAMNnfwI+X3OB8N89a3HlxHYOoyKEmJp+/frh8OHD7Hjq1Kn47rvvMGPGDEybNg1r1qzBiBEjOIyQEGJKlEoGj1I0Ca7gJsafUA71t0dogB07Png+Q6eEACHGLF67frIZlLsAAHdHC1gINQ3fU7PkVexNzI3eLqmIRCL88ssvYBiGrVXs4eEBHo9XzZH6lZKSAqlUis6dO1fYFhYWhhMnTrDjmzdvws7ODi1btqywX/n2Hj16PPc8Uqm0Qk3muLg4AIBCoYBCYb5NBhQKBZRKpVnPQU2Z01x5+Ycg9uoZAID0aRzkMhn4tbgDwJzmqjbSEjQrlN19m9E8VSKwfQ8Mm/0Jjv+0FCqlem4uHfoZhQX56Dl2BsfRGT96XdUczVXNGXquGvo8CxYswNWrVyGTyWBlZYWFCxciNTUV+/btg0AgwKRJk/Dtt982aAyEEPORJC3VScYac/1kbRP6eOGj+CcAgNxCBf64moVR3Tw4joqQ6sVLNBdwzKHcBQDw+TyIXK2QJFUn01OpMR/Rovc1+kVFRcjKygIA2Nrawt7eXt+nqJJEIgGgTnA/SyQSITs7m32jL5FI4OXlVSHpXX5sampqpedZu3YtPvnkk+duKygoQG5ubh2/g8ZPqVSisLAQAKhkSDXMaa7sPTR3DCjL5Eh4eAeu4oAaH29Oc1VTZbIS5KQ/ZcdO3gHIy8ujeaqEq39r9H11Af7+9UuoFOr6X3dP74VKqUCnIS8b/AJoY0I/fzVHc1Vzhp6rgoKCBv36fn5+OnfHWVtbY9OmTdi0aVODnpcQYp606yfzeUCgqHEkuDo2d0BzHxt2dfW+f6UYGuYGCyHdZUeMV7FMCUm2ZnWuuaxQBgAfd0tKKJPn0ltC+erVq5g/fz7Onz8P1X91Kvl8Pnr27ImvvvrquSuGG0JJifoPk5WVVYVt5XXrSkpKYGVlxf63qv0qM2fOHIwfr1t/My4uDqNHj4aDgwOcnZ3r+i00euUrgJycnCAUmn5dofowp7myb9UBfIGQXR1amPEUga061Ph4c5qrmkp59BRgNJ12g9p0gZOTEwCap8o4d+0PR0dnHF2zEIoy9ZvC+2cPwtJCiJ7j/o+SypWgn7+ao7mqOUPPlYODQ/U71cOtW7cQExODiRMnss+dPHkSn332GWQyGSZNmoR33nmnQWMghJiPh1r1k309LGBl0TgSsjweDxP6emHZ9gQAQGZeGc7czMHgLm7cBkZIFRK1yl0AQEAjuYCjDyKtOsqpmZRQJhp6efceFRWFPn36wNLSEtOnT2dLSMTExOC3335Dr169cPbsWbaUREOysVFfKZLJKr7QS0tLdfaxsbGp0X7P4+npCU9Pz+duEwqFZv8hUiAQ0DzUkLnMlVAohKdfc6TFxwAAJHF30bH/2Fp9DXOZq5rKSn7MPhZYWMKjSQBUKobmqRqBbV/A2He/wYHv5kMhV/++v3lqLxiVEv0mzaWkciXodVVzNFc1Z8i5auhzzJ8/H7a2tmxCOT4+HmPGjIGbmxvEYjHeffdd2NjYsM2hCSGkPmKTi9jHQd6Nq0lW15ZOaOpljcR09fuwPf+kY0BHVwgE9B6MGCfthnxCAQ8+7uaTUPbRSihLsmVQqRjw+fSzSvTUlG/RokXw8fHBw4cPsW7dOrz99tt4++23sW7dOjx8+BBisRiLFi3Sx6mqVV6uorz0hTaJRAJXV1d2VbJIJEJaWhoYrRV+2seKxeIGjpYQ8+IdqKlXLnkSzWEkpiE9UVM/2dXLV6fpHKmab0gHjJn7FYRWmguHt04fwF+/fgNGRc1hCCG1d/v2bZ3eG7/++isEAgFu3ryJqKgojBs3DuvXr+cwQkKIqSiVK5GQrlkxGdjIEsp8Pg8v9fFix6lZcpy7m8tdQIRUQ7shX1MvawjN6OKH9gplWRmDrIIyDqMhxkQvCeWoqCjMmjUL3t7eFbZ5eXlh5syZuHz5sj5OVS0fHx94eHjg2rVrFbZduXIF7du3Z8ft27dHcXExYmJidPaLiopitxNC9Ecc2Jp9nJeRitLihq1naeqkibHsYw+/ZhxG0jiJm7XBoBlLYWmj6TZ+558jOLnlC6hUSg4jI4Q0Rnl5eXBz09yyfeLECQwcOBDu7u4AgIEDB7INnAkhpD7iUkugff07UNS4EsoA0KuNM0Sumrh3n02HSsVUcQQh3NFeoWwuDfnK+bjrlomVUB1l8h+9JJT5fH6VnbOVSiX4fMPVdIqMjMSxY8fw9KmmWdXp06cRGxurU/d41KhRsLCwwNq1a9nnGIbB+vXr4ePjg27duhksZkLMgSiotc447UlMJXuS6pTJSpGVmsCOxYGh3AXTiHn4BWPsuythbaeprXr/wu/4Y9NnbL1vQgipCZFIxC5SkEgkuH79OgYNGsRuLywsNOj7YUKI6Xqk1ZDP2pIPH9fGV2JJIODhRa1VygnppYh6kM9hRIQ8H8MwiJdoJ5TNpyEfALg7WsBCqFmRnZIpr2JvYk708penW7duWLNmDSZNmoSmTZvqbEtKSsLatWvRvXt3fZwKq1evRm5uLlJTUwEAR48eRXJyMgDgrbfegpOTExYuXIi9e/eib9++eOedd1BYWIivv/4abdq0wWuvvcZ+rSZNmmDu3Ln4+uuvUVZWhi5duuDQoUM4d+4cduzYQd3ZCdEzJw8xbOydUFKYBwBIibsL/9CGr61uijKSH4NhNEtTxM0poVxXXk1DMH7ej9j7zVyU/vfajLl8CkqlEkNnfAwB1cElhNTAqFGjsGrVKpSWliIqKgpWVlYYM2YMu/327dsIDAzkMEJCiKnQbsjXTGzdaOuZ9u/ggh2n05CZp76Fftff6eja0pH6WRCjIs0tQ7FM87krQGReCWU+nweRqxWSpOqyH6m0Qpn8Ry+fklesWIGePXuiRYsWGDNmDIKDgwEADx8+xOHDhyEUCvH555/r41T45ptvkJiYyI4PHDiAAwcOAACmTJkCJycn+Pr64p9//sG7776LBQsWwNLSEsOGDcPKlSvZ+snlvvjiC7i4uOCnn37C1q1b0bx5c2zfvh2TJk3SS7yEEA0ejwdRUGs8uX0RAJASe4fjiBqv9ARN/WSB0AJuYn/ugjEBnn7N8NIHq7D363dQnJ8DAIi9egYqpQLDZy+FQGjBcYSEEGO3fPlyZGRkYNu2bXB2dsbWrVvh5aVefZefn499+/bhjTfe4DhKQogpeKi1Qrm5jy2HkdSPhZCPcT09sf5YCgAgNrkYN+MK0bG5QzVHEmI42uUuAPMreQEAYjdLSiiTCvSSUO7QoQOioqLw0Ucf4ciRIyguVv+Bs7W1RUREBJYvX45WrVrp41RISEio0X6tW7fGyZMnq92Pz+fjww8/xIcffljPyAghNSEKbMUmlNMTH4JhGFqFUAfa9ZOdPZuAL6BVtPXl7hOAlz5YjT1fv42i3CwAQNyNf3FkzUcYMedTCC2sqvkKhBBzZm9vjx07dlS6LTk5Gba2jTfxQwgxDnlFCqRla245D25iA6Dx1h4e3MUNv/2djrwidamxXX+nUUKZGBXthLKLvRDO9ua30ESsVUeZEsqknF4KuSUlJSEwMBAHDx5Efn4+JBIJJBIJ8vPzceDAAQQEBCApKUkfpyKENHIircZ88pIi5EqTOYym8UpP1KxQ9vAN4jAS0+Iq8sNLH6yGg4sn+9yT2xdxeNVClMnpzRMhpG74fD6cnJxgYWF+H0IJIfoVq7U6GShPKDde1pZ8jO3hwY7vxhfhfkIhhxERoitBUso+9jez+snlxG6ahLIkS0YNNAkAPSWUAwICcPDgQfUX5PPh5eUFLy8vtvHIkSNHEBAQoI9TEUIaOe+AFoDWimTJ4/scRtM4KcpkyEqNZ8fPNjsk9ePi1QQvLVgFRzdv9rmEe1dw8Pv5KJOVVHEkIYQQQkjDitWqn+xsL4SHU+O/UDW4kxN4Kk3Sbtff6c/d79ixY5gyZQrKysoMFRoheKK1QjlAZH7lLgDdhLKsjEF2Af0MEj0llBmm6qsTZWVl1NWaEAIAsLK116n3m0x1lGstM/kJVEolOxY3o4Z8+ubkIcZLC1bDyUPMPvf0wQ3s//Z9yEuKqziSEEIIIaThaNdPDm5iaxKl4974v+l4dOlXdnwttgBxKbrvt44dO4bIyEjs2LEDr732mqFDJGaqVK5CaqbmLsUAWqEMgMpeELU6Z3nz8/ORlJTElrLIyspix9r/7ty5g127dkEkEuktaEJI4yYK0NRUpxXKtZeuVT+ZzxfAowmVvGgIjm5eeGnBarh4+7LPpTy6g33fvgtZMd2KSQghhBDDYhgGD5OL2HFIE9Ooyz5hwgSk3t4LhVyTRN51VrNKuTyZLJfLYWlpiQkTJnARJjFDSdJSaFd3MMeGfADg4WQBC6Hm4lVqlryKvYm5qHNC+bvvvkNAQAACAgLA4/Ewd+5cdqz9r0OHDjhx4gRmz56tz7gJIY2YKEiTUM6SJKJMVlrF3uRZ6Qma+snOXj4QCBv/rY7GysHFAy99sAquWqvqJY/vY+83/0NpUQF3gRFCCCHE7KTnyJFfpLlLLcTXNBLKw4cPx+4dW5B65yD73IV7uUiSllZIJu/fvx/Dhw/nMFpiTrQb8gn4gK+neSaU+XweRK6aVcopmbRCmQDCuh44aNAg2Nvbg2EYzJ8/HxMnTkTHjh119uHxeLCzs0OnTp3QuXPnegdLCDEN2jV/GZUS6YmxaBLclsOIGhep1gpl9ybNOIzEPNg5ueGl+T9i7zf/Q2byYwBAesID7P36HUS+9y1sHZy5DZAQQgghZuFhhYZ8ppFQBtRJ5SI5Hz9fkkEgtALAw7tfHsHR1S9TMplwJl6iSSj7eljDUmi+pVzFbpZIkqoXgkmo5AVBPRLK4eHhCA8PBwAUFRUhMjISoaFUx5MQUj03sT8srGzYBmepj+9SQrmGlIoyZKY8YceiwJYcRmM+bB1d8OL8H7Dvm3chTVIn9KVJj7D3q3cwft73sHV04ThCQoixkMlkuHHjBqRSKbp37w53d3euQyKEmIhYrYSy2M0SDrZCKBQKDiPSr5fGDsW1p+dxL029ErJAGAiBjTsskUnJZMKJhDTNnbT+Zlo/uZzYXWuFMiWUCfTUlG/JkiWUTCaE1BifL4B3gCYRmkKN+WosMyUeSoWmq65Pc0rEG4qNvRPGz/9e57WbmfIEu798C4W5mRxGRriQn5mG3V+8ib1fz0V2WhLX4RAj8eOPP0IkEqFHjx4YO3Ys7txR/33LzMyEu7s7Nm/ezHGEhJDGLPapdkM+Ow4jaTjvv9IFYFQAAD5fCFHroXj99dcpmUwMjmEYnZIXASLzLHdRTrsxnyRLBoZhqtibmAPzXa9PCOGUdh3ltPgHHEbSuGiXu+DxBfDwpYZ8hmRt64Bx738HcTPNRdRsSSJ2f/EWCrKlHEZGDO3vXauQHHsbSTHXsX/leyjOz+E6JMKxLVu2YO7cuYiIiMDPP/+s80HL3d0d/fr1w65duziMkBDSmCmVDB6laJJbwU1Mc7Xk1QunkPHkPDv2DhmAzZs349ixYxxGRcxRdoEC+cWamuUB5r5CWSuhLCtjkJVfVsXexBzoJaHM5/MhEAiq/UcIIeVEgZo6ysX52ZSMq6H0RK2GfB5iCC2sqtibNAQrGztEvrsSTULas8/lSpOx+8u3kJ+Zxl1gxGDK5DIk3Itix/lZaTi06kMoyuj2P3O2cuVKjBo1Cjt37sSIESMqbO/UqRPu379f7/MUFhZiyZIliIiIgKurK3g8HrZu3frcfWNiYhAREQF7e3u4urri5ZdfRkZGRo3PdeTIEXTs2BHW1tbw8/PDkiVLTOr2ekIakyRpKWRlKnYc4mt6K5TLG/BJYk6xzzl6hUBo543IyEhKKhOD0q6fDAAB3rRCWVtqlpyjSIixqHMNZW2LFy8Gj8fTeU6pVCIhIQGHDh1CSEgI3aJCCNEhCmylM5Y8iYaDqydH0TQeug35AjmMxLxZWtti7NyvcWjVh0iKvgYAyMtIxa4v38SL836Es6eY4whJQ3r64AYUct3kseTxfZzc/AUGvb6Qo6gI1+Li4vD2229Xut3V1RVZWVn1Pk9mZiY+/fRT+Pn5oV27djh79uxz90tOTkavXr3g5OSEFStWoLCwEN988w3u3r2LK1euwNLSssrz/P777xg9ejT69OmDVatW4e7du1i+fDmkUinWrVtX7++DEFI72g35+HwgSGxaqyXLk8lyuRy5iZfA5zFQMeocg0+rQXh0YRMiIyOpljIxmCda5S4cbARwc7TgMBrueThZwELIQ5lCfQdWapYMbQPtOY6KcEkvCeWlS5dWuk0ikaBr164IDg7Wx6kIISbCzskVju4i5GdKAAApj+4guHMfboMyciqlAhlP49jxs0l5YlgWVtYY/fYXOLJ6EbtatSArHbu/fBMvzv8BLl6+HEdIGsqT25ee+/yDqL/g5OGDFr1GGzYgYhScnZ2RmVl5PfXo6Gh4e3vX+zwikQgSiQTe3t64du0aunTp8tz9VqxYgaKiIly/fh1+fn4AgLCwMAwcOBBbt27FzJkzqzzP+++/j7Zt2+LPP/+EUKj+yODo6IgVK1bgnXfeQYsWLer9vRBCau6hVv3kAG8bWFmYTvVK7WSypaUldu/ciqgMR1yLLQAAdI2YgcSrv0Iul1NSmRhMvETTkC9AZFNhEaW54fN58Ha1xFOpelFFKjXmM3sN/ldIJBJh9uzZWLZsWUOfihDSyGgnRFPj7nEYSeOQJUmEokxza5G4WRsOoyEAYGFphVFvrUBg++7sc4U5Gdj9xVvISk3gLjDSYBiGwZM7F9mxb0gH2Dq6sOOoY7/gyc1/uQiNcGzo0KHYsGEDcnNzK2y7f/8+Nm7ciJEjR9b7PFZWVjVKTJcnXMqTyQAwYMAABAcHY8+ePVUeGx0djejoaMycOZNNJgPAnDlzwDAM9u3bV/dvgBBSJ7HJRezjkCa2HEaif7t27WKTyeW/u3q0cWa3ZxRZYsuOQ7C0tIRcLqd69MQgErQb8pl5uYtyPlplL1IzKaGsL2VlZZgyZUq1ZX2OHTuGKVOmoKzMOOpX62WFcnXs7OwQHx9viFMRQhoRcVBrPLxyGgCQ8fQxlAoFBEKD/FpqlNITNPWTeTwePP2acxgNKSe0sMTIOctw/KdP8Oj6PwCAorws7P7yLbw47wcqTWJiMlOeoCArnR236z8Wji4e2P3V21D+d8Hnwp5V8PYNgF+LDlyFSTiwfPlyvPDCCwgNDcWIESPA4/Hwyy+/YPPmzdi/fz9EIhEWL15skFhSUlIglUrRuXPnCtvCwsJw4sSJKo+/efMmAFQ4XiwWo0mTJuz2ykil0gq1muPi1HfYKBQKs63DrFAooFQqzfb7rw2aK12lchUS0jWrJZuJrdm5MYW52rhxIwQCAcaNG4eIiAgoFAp0CbYDnw+o/isbLXTvgH379mHfvn1Yv359nb5fU5grQzH3uSpTqPA0Q/Mz19TTqtK5MKe58nbRlP1IyZTV+ns2p7mqjenTp2Pfvn04cuQIduzYgSFDhlSYq99//x2TJ0+GXC6HQCDAzz//rNcY6vL/pMEzN/fu3cOPP/5IJS8IIRVor1BWKuTITHkMr6YhHEZk3LTrJzu6i2BhRVfKjYVAaIHhs5fixMbl7EWSkoJc7P7yLYyf9z0l/03Ik9ua1ckCoQUC23SFhZU1hkz/CMfWqZOFKqUCR9d8hMkfb6R62mZELBbj+vXrWLhwIXbv3g2GYbBt2zY4ODhg4sSJ+OKLL+Du7m6QWCQSdTkpkUhUYZtIJEJ2djZkMhmsrJ7f2LW641NTU6s8/9q1a/HJJ588d1tBQcFzV3GbA6VSicLCQgCghuXVoLnS9TBZxiZWAcDbScH+HJnKXK1cuRIAdH4/tPK1wr1E9SrIf+9kY+mkcISHh6OoqOh5X6JapjJXhmDuc5UolUOp9TPnZldW6d8uc5orZ1sl+zg1S4acnJxalQIxp7mqjXHjxuHOnTtQKBTs4oOwsDB2rq5cuYLFixejadOmEAqFGDdunN7fSxUUFNT6GL0klAMCAp77IsrNzUVeXh5sbW1x6NAhfZyKEGJCPPyaQyC0gFKhvmUjNe4+JZSrkJ6oWaHs3iSIw0jI8/AFQgyd+TEEAiGiL50EAJQW5WPv13Px8ieb4ejqxXGERB+0E8peAS3YCzshXfoiN30Gzh/YCED9//7gD/MxcdE6WNs6cBIrMTxPT09s2rQJmzZtQkZGBlQqFTw8PMDnG7bWaUmJ+jbd5yWMra2t2X0qSyhXd3x+fn6V558zZw7Gjx+v81xcXBxGjx4NBwcHODs7V/s9mKLy1T9OTk46pURIRTRXuiT3NfXZrS35aBXoDgFf/fnblOeqdzsV7iWqL2A9lshRxrOFh1PVDUWrYspzpW/mNFdlZWWYPXs2xo0bhyFDhgAAbiTksNv5PKBVoDv+Pn2SXSFvYaFZqWtOcxXURAggFwAgVzBQCexr1azQnOaqNspfd+UrkCdPnozt27cjLCwMUVFRmDJlClsWqHwFs745ONT+84pe/g/27t27QkKZx+PBxcUFQUFBmDBhAlxdXfVxKkKICRFaWMLTrzkkT6IBqBvzdeg/luOojJNKpYQ0SdOQzzuAmiEZIz5fgMHTPgRfKMS9c8cBqBOLJzZ8ihfn/wg+n67EN2bFBbmQPI5mx0Hte+hsDxv2MrIkSYj574JCtiQRR9d8jLH/+4bK+ZiB6OhotGqlufPGw8ODs1hsbGwAADJZxfqGpaWlOvvU5fiqjgXUiXVPT8/nbhMKhWb9IVIgEJj9HNQUzZVGXKrm1vvmPjawstRN4JjqXPVo44J1R1OhYtTjqAdFGN29fvWjTXWuGoK5zNXUqVOxY8cO7Nq1i63hnSTV6lvjboWzZ/7EuHHjIJfLoVQqsX37dp2vYS5z5eup+/OXnquEl2vV7wmeZS5zVVsjRozAzp07ERkZiaISOT749ne0CrfDqbWvoqCgAJaWlti5c2eDNSSty/8Pvfwf3Lp1qz6+DCHEDIkCW7MJZcmT+xxHY7xyJElQyDUfJnyoIZ/R4vMFGPTqfCjkMjyI+gsAkBJ7B1HHfkX4yNc4jo7UR8K9KDCM5v7HFmH9dbbzeDz0m/IustKeQhqv/r2WFHMdZ3Z+jwEvv2f23cFNXWhoKEJDQzFhwgS8+OKLaNasGWexlJeqKC9doU0ikcDV1bXS1cnPHu/r61vh+LCwMD1GSwipzsPkYvZxiK8dh5EYlrO9BUID7HHnifq27/P3cjG6O3cX64hpmjBhAvbu3Qu5XI7IyEjs378f8dKW7HYrVQ4iIyPZFaITJkzgMFpuuTtZQCjgQaFUX+WRZMnQNtCe46hMx5Chw7B87e84cbMM1g5eKAbgHjwYsjsH2YsdxsSw998RQsgzREGa1Vz5mWkoKczjMBrjlZ4UqzXiUWkQI8fj8zHwlXlw9vRhn7t0eAuSY+9wGBWpL+1yF86ePnB0q1jGRGhhib6vfAAnD83/+ztnD+PGqT0GiZFwZ926dfDw8MDixYsREhKCTp064euvv0ZiYqLBY/Hx8YGHhweuXbtWYduVK1fQvn37Ko8v3/7s8ampqUhOTq72eEKI/uQVKZCWrVktGdykfit0G5seoU7s4+jEImTll3EYDTFFw4cPx/79+2FpackmlR8k5LLbTx35lU0mG2NSz5AEfB5EbpqyMylZFe9kIrXHMAyuPszHm6se4kycK6wdNJ8x/MNnYOrrM4zydae3hHJpaSl27NiB9957D9OnT8frr7+u82/atGn6OhUhxISIglrrjNOexHAUiXFLT9DUT3Z084KljXl9mGiMLG1sMWzWUvAF6puBGIbB8Z+WoqSw6tqjxDgpFQok3L3Cjv1bV75C09rOEaPeWgErW82KjbO71yDu5vkGjZFwa9asWTh9+jRSUlLwww8/wM7ODgsWLEBgYCDCw8Pxww8/VNvMTp8iIyNx7NgxPH36lH3u9OnTiI2N1alvXFZWhgcPHuisZm7dujVatGiBDRs2QKnUNOBZt24deDwexo0bZ5hvghCCWK3VyYD5JZS7tXZG+Q0+DANcvJ/LaTzENGknlSG0Q3GZpkxdjuQBJZO1iN00dzilUkK53h6lFOPDnx9j8dYnSEgr1dkmy3mE+8cWYuvmjTh27BhHEVZOLyUvEhMT0bdvXyQkJMDZ2Rl5eXlwdXVFbm4ulEol3N3dYW9Py+AJIRU5unnD1tEFxfnqxgcpcfcQ0LYrx1EZH2miZoWye5NADiMhteEd0AI9I2fhnz1rAACFORn4c+uXGPnGcip/0Mikxt2FrKSQHYeE9atyfxdvP4x84zPsX/kuVColwDA4/tMnmPDhGng1DW7ocAmHvLy88Oabb+LNN99ESkoK9u7diz179uC9997D+++/j7Ky+q+uW716NXJzc9kE9dGjR5GcnAwAeOutt+Dk5ISFCxdi79696Nu3L9555x0UFhbi66+/Rps2bfDaa5ryOykpKWjZsiVeffVVnTJ2X3/9NUaOHIlBgwZhwoQJuHfvHlavXo3p06ejZcuWIIQYRuxTTULZ2V4IT+eaN8AyBW6OFmjV1A73E4oAAOfv5WFEOJW9IPpXnlSevWC1zvOy3ARKJmvx0U4oZ1JCua7Sc2TYejINZ2/nVNhWlJ2Ep1EbMXFoW1zLjNEpx2JMr0O9rFCeN28e8vLycPnyZcTGxoJhGOzevRuFhYX48ssvYWNjg5MnT+rjVIQQE8Pj8SAK1KxSTnlEJQGexahUkCY9Ysde/tSQrzHpNOhF+IdqVrPG3fgXd84e5jAiUhdP7mjKXVjZ2EPcvPo65n4tO2LAK++zY4W8FAd/+AAFORkNEiMxPiKRCK1bt0bLli1ha2sLlUpV/UE18M033+Djjz/GunXrAAAHDhzAxx9/jI8//hg5OeoPJr6+vvjnn38QFBSEBQsW4KuvvsLQoUNx6tSpKusnlxs+fDgOHDiA7OxsvPXWWzhw4AAWLlyINWvW6OV7IITUjHb95OAmtmZ5QbpHqDP7+F58IXIKqOwFaRjdew9G+2Efs2NZUTYmjhtiVEk8rol0VijLwTAMh9E0PgXFCmw8noLpKx9USCbLi7MR/efnuPLrBPy4bCbeffd/2LFjh045FmNaqayXhPKZM2cwZ84chIWFgc9Xf0mGYWBlZYV58+ahf//+mDt3rj5ORQgxQdp1lKWJD8Ho6QO3qciRJkNeqvkw4VODRBYxHjw+HxHTFsHW0YV97u/fViEz+QmHUZHaenL7EvvYJ7gt+HxBFXtrtOk1HF2GTGLHRbmZOPTDByiTleg9RmIcGIbB33//jdmzZ0MkEiEiIgKHDx/GhAkT8Oeff+rlHAkJCWAY5rn//P392f1at26NkydPoqioCDk5Odi+fTu8vHRrf/v7+4NhmOc22R49ejRu3ryJ0tJSPH36FMuWLYOFhXmtjiSESwzD4GFyETsOMbNyF+W6t9bUUVYxwKVo6rlC9E+pYjB/zXUo+ZrGl48vbsSWzZuNKonHNR93TUJZVqZCdoGCw2gaD3mZCvv+leL1r2Nw4HwG29gQAIR8FeIvb8Y/60ci7d4h7Nu7B0OGDAEADBkypEKNb2N5PeoloVxcXMy+eXV0dASPx0NenuaXfHh4OM6fp7qBhJDn016hLC8tRnb60yr2Nj/a5S4AwJtWKDc6dk6uGDL9I3asVMhxbP0SlMlKqziKGIuc9GRkSzSN1Zp36l2r43tGztI5Rpr0CMc3LKOLZybm3LlzeOuttyAWizFgwADs3r0bQ4cOxfHjx5GWloYNGzagf//+XIdJCGlE0nPkyC/S1DEP8TXPhLKHsyVaaH3v5+/lchcMMVnLfvoXyXnW7NhWHo+0uweMLonHNbFWUz6A6ihXR6VicOZmNmZ8G4Off09FYanmdzqfBwzu7Ar75A14eHYVBCh7blmLZxtH7tq1y9DfxnPpJaHs5+fH1m0TCoXw8fHB5cuX2e3R0dGwtrau7HBCiJnz9m8BaN2+l/YkmsNojE96oqYhn4Orp06jL9J4+IeG6axUzUpNwD+7V1dxBDEW8Xc0q5N5PD6adexZq+N5fD6GTP8IXk1D2Oce3zyHf/et11uMhHu9e/fGL7/8gn79+uHgwYNIT0/Hli1bEBERAaFQL21LCCFm5qGZN+TT1qONM/v49pNC5BfRqkiiPz/t+BOXEzSfsRysFNi6fITRrgzlkruTJYQCzWd3qqNcuZtxBXhrdSy+3pMEaa5uqZ6wEEeseTsEcyP98OumVZg8eXKVNZLLk8qTJ0/Gli1bDBF+tfSSUO7Xrx8OH9bUg5w6dSq+++47zJgxA9OmTcOaNWswYsQIfZyKEGKCLG1s4e4TwI6TH97mMBrjo71C2U3sz10gpN66j5kO7wBNM6vbZw8j9tpZ7gIiNfL4tqZ+sqdfc1jbOtT6a1hYWWP021/A3kXTSOjaH7/hzr9H9RIj4d7evXshlUqxY8cOjBw5Ut0pnhBC6kG7IZ/YzRIOtuZ7cUqn7IUKuBRDZS+Ifuw5cAK7L/PA+6+cGZ/HYNm0lnCwEVZYGUpJZUDA50HkqnmPQyuUK3oiKcFHmx9j4c+P8USiW+auuY8NvpgehE+mBsLf2wYAYGFhge3bt1dbq3v48OHYvn270ZQf08tfpAULFuDq1auQyWSwsrLCwoULkZqain379kEgEGDSpEn49ttv9XEqQoiJEgW2ZmvKpj6+x3E0xoNhGKRrJZS1k5Gk8REILTBs1hJsW/o6Wxf7zy1fwDugJRzdvKo5mnBBXlKM5Ie32HFgu/A6fy17F3eMeedL7Pp8Dlvu5PSvK+HkLkLTVp3rGyoxsKSkJADqO/UAoEuXLpBKpdUeV74/IYRUJ1anIZ9dFXuaPm9XKzT3scGjFHVy5vzdXAzu7MZxVKSxU6kYbP9XBit7Mfvc9KE+CPHV/LyVJ5UjIyPZcgPm3qRP7G6FpxnqRHIKJZRZGbly/HpKgtM3c/Bsr0JvF0u8OliEXm2cweebRnNVvSSU/fz8dN4cW1tbY9OmTdi0aZM+vjwhxAyIglrj7n8r9XLSklAmK4GFlQ3HUXEvL0MCWXEhOxZTQ75Gz9nTBwNeeR8nNnwKAJCVFOH4T0vx0gerwBeY78ojY5UYfRUqpea22pCw+tXA9fRrjmGzluLQqg8BhoFKpcTRNR9j4kfr4SZqWt9wiQH5+/uDx+OhpKQElpaW7Lg6SqWy2n0IIUSpZNjkKWC+9ZO19Qh1Zufk1uNCFJQo4GBD751I3e35R4oyG82dsuGtHDG6u0eF/cqTyrt27TKacgNcErtqGvNRyQugsESBPf9IcehCBsoUuplkBxsBJvbzwrCu7rAU6qVIhNGg376EEKMgDmzFPmYYBmkJD+Ab0oHDiIyDdv1kAPD2pxXKpqBl14FIvH8V9y/8DgBIjbuHS0d/QffR0ziOjDxLu9yFvYsHXPWQ9A1q3x19XnoTZ3etAgDISgpx8Pv5mPTRT7B1cK731yeGsXnzZvB4PPa2w/IxIYToQ5K0FLIyTfNWc66fXK57qDO2nJQAABRKBlEx+RjQ0ZXjqEhjdTe+ENtOSdixp7MF/jfOr9K/5cOHDzf7lcnlxO5aCeUsORiGMcv3QHKFCscvZ+K3M+koKNFdMGAh5GF0dw+82NsT9iZ64cs0vysAjx49wscff4zz588jOzsbfn5+mDRpEt5//33Y2mr+GF+8eBHz58/HjRs34OjoiBdffBErVqyAvT01vSLEkFxFTWFpYwd5SREAIDXuPiWUAUi1Esp2zu6wsXfkMBqiT/0mz0Vq3D3kpD8FAEQd/QV+LTvS696IMCqVTkO+pq066+3NcseB45GTloTbZ9U9KPIyUnFk9UKMe/97CC2o9m5jMHXq1CrHhBBSH9oN+fh8IEhMd+75uFshUGSNJxJ12ajz93IpoUzqJLdQgS93JUL132JSAR/4cKI/rXivIbGbJqEsK1Mhu0ABN0fjqOtrCCoVg3/v5uKXkxKk5ch1tvF4QP8OLnh5oAiezqb9nt601lv/5+nTpwgLC8Ply5fx5ptv4vvvv0d4eDiWLFmCiRMnsvvdunUL/fv3R3FxMb799ltMnz4dGzZswPjx4zmMnhDzxOPzdeoDpzyixnwAdOonu4sDqtiTNDaW1rYYNnsp+EL1my+GYXD8p09RUkhNZoxFWsIDFOfnsOPgLn319rV5PB76TpqLpq27sM+lPLqLU1u/AvNs0TXSKCQlJaGkpKTS7SUlJWzdZUIIqc5DrYZ8Ad42sLIwyY/utdYj1Jl9fD22AEWlVEaI1I5KxeCbPYnIyi9jn3s9QowWfuZdp7w2fNx1E6Xm1JjvzpMCzF0biy93JVZIJndq7oDVb4XgvfFNTT6ZDJhoQnnbtm3Izc3F8ePHsWDBAsycORNbtmzBK6+8giNHjiAnR/3hcOHChXBxccHZs2cxe/ZsLF++HKtXr8Yff/yBP//8k+PvghDzIw5szT5OexJj9kmVZxvyefmHcBgNaQheTYPRa9xsdlyUm4mTmz83+9e+sXiitTpZaGml98Z5AqEQw//vE7iJ/dnnoi+dRNSxX/V6HmIYAQEBOHjwYKXbjxw5goAAujBICKmZ2OQi9nEIlbtgaSeUFUoGVx7kcxcMaZT2/SvF9UcF7PiFlo4Y06Ni3WRSOXcnSwgFmrv2zKGOcmJ6CZZsfYIPNj7WqW8PAIEiG3z2ehCWvx6EQJH53E1ikgnl/Hz1HxUvLy+d50UiEfh8PiwtLZGfn49Tp05hypQpcHTU3EL+yiuvwN7eHnv27DFozIQQQBSkqaNcUpiHgmwph9FwryArHaVaq1V9qCGfSeo4cDwC24az48e3LuDWmcqTUsRwnmjVTxYHhUIg1P+tfNa2Dhjzzpew0aqdfOHgJjy8ckbv5yINq7oLQWVlZeDzTfKtNyFEz0rlSiSkl7LjYGrIx/L1tEZTL2t2fOFeLnfBkEbnXnwhfnmmbvJ7VdRNJs8n4PMgctWswDXlFcqZeXJ8vz8Jc354iCsPdS9geThZ4P3xflj1ZjA6NnfgKELumGSBmD59+uDLL7/EtGnT8Mknn8DNzQ0XL17EunXr8Pbbb8POzg4XLlyAQqFA5866q40sLS3Rvn173Lx5s8pzSKVSZGRk6DwXFxcHAFAoFFAoFM87zCwoFAoolUqznoOaornS5e4XrDNOeXQXtk5uAMxzrlLjY3TG7n7B1X7/5jhPdWVMc9X/1flI/3Q6ivKyAAD/7F4N78BW8PBtxnFkasY0V4ZSmJMBqdYdAgHte9To+6/LXNm5eGL4nGU4sPJdKBXq2y9/37Qcts7uEGk1LDU1hn5dNcR58vPzkZuby46zsrKeW9YiNzcXu3btgkgk0nsMhBDTE5daApWmHx+tUH5G99ZOSPwv4X71YT5KZErYWAk4jooYu7wiBb7Ylcj+bAn4wIIJ/nCwNcm0WIMTuVnhaYY6kZxiggnlolIl9v0rxcHzUsjKdBcN2FnzMaGvN0aGu8PSjMsRmeRPTkREBJYtW4YVK1bgyJEj7POLFi3C8uXLAQASifqq1PPe2ItEIpw7d67Kc6xduxaffPLJc7cVFBTofLgwN0qlEoWFhQAAgYD+sFeF5qoiBzdvFGSlAQCe3L8Gj2btAZjnXCU9vMM+tnZwhlwJyKv53WKO81RXxjZX3V98G39uWgowDJSKMhxbvwTD31kJC0vrao9taMY2V4YQe+VvnbFXs/Y1+tte17mydWuCbuPfwrnfvlV/HUUZjqz6EMPe+hr2rp41D7wRMfTrqqCgoPqdaum7777Dp59+CkBdF3vu3LmYO3fuc/dlGIZ9H0oIIVWJ1aqfbG3Jh68n9+8FjEmPNs7YeSYdACBXMLgWW4CebZy5DYoYtefVTX4tQoyWTalucl35aDXmkxh5QrmsrAyvvfYaJkyYgOHDh1e637Fjx/Dbrj0YN/sr7Dqbgfwi3RrtQgEPI8Pd8VIfLzjamWQ6tVbqNAN8Pr9OtwQolYYrmO/v749evXohMjISbm5uOH78OFasWAFvb2+8+eabbNMUKyurCsdaW1tX2VQFAObMmVOheV9cXBxGjx4NBwcHODs76+17aWzKVwA5OTlBKKQfsqrQXFUkbhaKh/8llLOTH7E/S+Y4V/nSp+xjd3FAjX6vmOM81ZWxzZVzl17ITp6Ia7/vBADkZ6Ti9h/bMOCVeRxHZnxzZQjpcZrGoG5if4h8/Wt0XH3mqmPfEZAXZiPq6FYAQGlRPv7+9XO8+MFqWNmY3gceQ7+uHBz0fyvioEGDYG9vD4ZhMH/+fEycOBEdO3bU2YfH48HOzg6dOnWqcGccIYQ8z8NkTUK5uY8NBHy6HV+bv5c1fNytkPJf3dbzd3MpoUyqtO+cFNdiNReWw1o4YizVTa4XsVZCOTVLDoZhjLZ0yGuvvYYdO3Zg79692L9//3OTykePHsP/fbgGgd3/DxuOp1XY3qedC14d5A1v14o5RHNVp3fvixcvrvBCOXjwIO7fv4/BgwcjJETdOOrBgwf4888/ERoaitGjR9c72JratWsXZs6cidjYWDRp0gQAMHbsWKhUKnzwwQeYOHEibGzUhbJlsopXUkpLS9ntlfH09ISn5/NXDAmFQrP5wF0ZgUBA81BDNFe6fJqF4mHUXwCAzOQn4IFh65aa01wxDIOMJM3t9t7+ITX+vs1pnurL2Oaqx5gZSIm9Dcnj+wCA++dPICD0BYSE9eM4MuObq4akKJMhKeYGOw5o07VW33d95qr76NeRl5GCB5dPAQCyUxPwx8ZlGPPOF+ALTG/uDfm6aohzhIeHIzxcXQO9qKgIY8eORZs2VO+eEFI/sVoJ5RBf07ugWF88Hg89Qp2x+6x6lfKVh/kolatgbWm+t56Tyt1PKMQvf2rqJns4Ud1kfRC7axKrpXIVcgoUcHXUf78RfZgwYQL27t0LuVyOyMjICknlDTv/xNaTOWgz4vMKx7YLtMe0oWI096HSQ8+q0zvrpUuX6ow3bNgAqVSKe/fuscnkcjExMejXrx/EYnGdg6yttWvXokOHDmwyudzIkSOxdetW3Lx5ky11UV76QptEIjFovIQQDe16oSqlAhlPH8M7oAWHEXGjMDcTxfk57NineVsOoyGGIhAKMWzmYvy65HXIS9Xd3f/85St4B7aEkzvVXjWUpw9uQSHXaoZkwIQ+j8fD4Nc+QH6mBKlx9wAACfei8Pdvq9B/yv8MFgepvUWLFqG4uLjS7fn5+bC1tTWLizKEkLrLK1IgLVvOjoOpfvJz9WjjxCaUS+UqXH+Uj+6tnbkNihid/GfqJvP5wIKJ/lSuQA/EbpY645QsmdEmlIcPH479+/cjMjJSJ6ncLmwAPv/lJuKzPeEk1l0w6u9ljdeHiNE52IEuPlRCL5fwvv76a7z55psVkskA0LJlS7z55pv46quv9HGqGklPT39ueY2yMnW9HIVCgdDQUAiFQly7dk1nH7lcjlu3bqF9+/aGCJUQ8gwP32YQCLU6xj6+x2E03NFuBgYA3oEtOYqEGJqThxgDp2rKXMhLinBs/VIozaghHtee3L7IPrZxcIa3v2EvagktrDDqzRVw1LqIcOvMAdz4a59B4yC18/bbb6Nbt26Vbu/evTvee+89A0ZECGmMtFcnA5RQrkyQyAberprPDOfv5nEYDTFGKhWDlXuTkJmnVTd5sBitqG6yXng4W0Io0CRaU428jnJ5UtnS0hIM3wYfro3CzG+jEZ+tW53AzdEC/4v0xeq3Q9AlxJGSyVXQS0I5OTkZFhaVX4mwsLBAcnKyPk5VI8HBwbh58yZiY3UTMr/99hv4fD7atm0LJycnDBgwANu3b9dp0rJt2zYUFhZWqI9MCDEMgdACXv7B7Dg59nYVe5uu9ISH7GMbeyfYO7tzGA0xtBZh/RHacxg7TnsSjUuHN3MYkflgGEYnoewb0oGTN5K2ji4Y+86XsNSqnXz2t1U6sRHj8scff2DcuHGVbh83bhxOnDhhwIgIIY2RdkM+Z3shPJ2Nc8Uf18rLXpSLepAHeZmKu4CI0TlwPgNXHuaz4y4hVDdZnwR8ns5FndRM404oA+qk8q87D6LrK7+gSbtIgKdJiVoIVHh1kAib3muJQZ3dqHZ9DegloRwaGoq1a9ciJSWlwrbk5GSsXbvWoPXk5s2bB6VSiZ49e2LZsmVYu3Ythg4dikOHDuH1119ny1l89tlnyM7ORu/evbF+/Xp89NFHePPNNzFo0CBEREQYLF5CiC5RYGv2cdqTaA4j4U66Vv1kV7E/d4EQzvSb9A5cRX7sOOrEdiTFXOcwIvOQlZqA/CxNI47gzn04i8XNJwAj5ywHj69+u8YwKhxbvxQZT+M4i4lULjU1FT4+PpVuF4vFz32vTAgh2rQb8gU3saXVcVXQTiiXyFS4EVdQ+c7ErEQnFmHLyVR27O5kgffG+4FPSUK90m3MZ/wJ5cw8OU7FB8DOtSn7nEpZBgfZXfy6oC0m9PWiWuy1oJeZ+u677yCVShEcHIwpU6Zg6dKlWLp0KSZPnoyQkBBIpVJ8++23+jhVjfTq1QsXL15Ep06dsHbtWsydOxePHz/GZ599hnXr1rH7dezYEX/99RdsbGzwv//9Dxs2bMC0adOwbx/dUkoIl7TrKBdkS1FckMtdMByRaq1Q9mpasZwQMX0WVjYYNusTtiklGAbHN3yqU1ub6J/2CmC+QIjAduEcRgM0bd0ZA6ZoyiSUyUpw4Pv5KMrL4jAq8jxubm54+PBhpdtjYmLg6OhowIgIIY0NwzB4mFzEjkOo3EWVgpvY6KzgvnAvl7tgiNHIL1Lgi98SdOsmT2gKJ6qbrHeNKaGckSvH/A1xSNGKMzvpOs5vjMThNdNx/uwfHEbXOOklodyjRw9ERUVh0KBBOHjwID799FN8+umnOHToEAYPHoyoqCj06NFDH6eqsbCwMJw4cQISiQRyuRwPHz7EwoULKzRC6dGjBy5cuICSkhJIpVKsXr0aDg4OBo2VEKJLFNRaZ2xuq5SL8rJQmJvJjn2aG+4OD2JcPP2aofdLb7Dj4rxs/LH5czAMw2FUpk07oezt3wIWVjZV7G0YbfuMRKdBL7HjwpwMHPxhAcpkpVUcRQwtIiICP/30E27evFlh240bN7BhwwYMGTKEg8gIIY1Feo4c+UWaXkAhvpRQrgqPx9NpxHc5Oh9lCip7Yc4YhsHKfUnI0Kqb/OogEVr723MYleny0Ukoy432M4o0V475G+Mg0Wp4mp0YhfaOt6AoTmcb9R07dozDKBsfva3lDg0NxcGDB1FQUACJRAKJRIKCggIcOHDAoOUuCCGNn4OrJ+yc3NhxStxdDqMxvPRnGvJpr9gm5qd9v7EIaq+5KBt/5xJuUnO2BlFSmIfUOE0j0KAOhr0YXpVeL/6fzusgPeEBft/0GRgVfXA2FsuWLYOjoyPCwsIQGRmJxYsXY/HixRg7dixeeOEFODk5YdmyZVyHSQgxYg+pIV+t9WjjzD4uLFXi9uNC7oIhnDtwPgNXHmjqJncOdsC4np4cRmTaRG6aGsqlchVyCoyviXh6jgzzN8QhTSuZnJVwGR++5IOf1q1iG/VRUrn29FocRCaTISoqCpcvX4ZAIACfT7VHCCG1x+PxdFYpp8Te4TAaw5NqJZStbB1g70LNI8wZj8fD4NcX6LwO/tmztsKFB1J/CXejwDCaBG1wl74cRqOLzxdg6MyP4eHbnH3u0fWzOH9wI4dREW1isRjXrl3DpEmTcPr0aSxfvhzLly/HmTNnMHnyZFy9ehVNmjThOkxCiBHTbsgndrOEgy3dol+dFr62cHPUlL04T2UvzFZMUhG2/KGpm+zmaIH3X2xKdZMbkI+7lc7Y2MpepGWrk8npOVrJ5PiLWDixCUaPGg5A3aiPksp1o7eM748//giRSITu3btj7NixuHNHnQDKzMyEu7s7Nm+m7vSEkJoTBWlW5UqTHpnVKrx0rfrJbuKm1IyFwMbeCUNnfAz891pQKRU4tn4J5KXF1RxJauPJnUvsY2dPHzh7iDmMpiJLa1uMeecL2Dm7s89dOb4d986f4DAqok0kEuGXX35BTk4O0tLSkJaWhpycHGzdupVtCk0IIZXRbchnx2EkjQefz0P31k7s+OL9PCiUxnnbPWk4BcXquslK7brJE6luckPzcLKEUKD5rJpiRAnl1Cx1Mlmaqyl/kvnkAhZO8sPokcN19n02qbxr1y5Dh9so6SWhvGXLFsydOxcRERHYvHmzTt0Ud3d39OvXj/6HEEJqRbvMQ5msBNlpSRxGY1jpSZqVp55NgzmMhBgT3xYd0HX4K+w4Nz0ZZ3Z8z11AJkalVCD+7mV27NeqM4fRVM7B1RNj3v4CQktr9rlTv3yNpw8r1u0l3JDJZLh8+TIuXboEPp9PFwUJITWiVDKISylhx1Q/uea0y14UlChxN57KXpgThmHw7b4kncThKwNFCKW6yQ1OIODB21VT9kJiJAnl1EwZPtgYpzi/LeYAAHbYSURBVFNL26IkDh9NblohmVyuPKk8efJkbNmyxVChNmp6SSivXLkSo0aNws6dOzFixIgK2zt16oT79+/r41SEEDPh7d8CPJ7mV5S5NOYrLshFQVY6O/ZpRjXoiUb4yKkQa70m7l/4HTGXT3EYkelIjbsHWbHmA2hIl/4cRlM1L/8QDJ2pu2L98OpFyEl/ynFkhO7YI4TUVZK0FLIyzR15IVQ/ucZaNbWDi71mJer5u7ncBUMM7tCFDFyO0dRN7tTcAeN7Ud1kQxG7aspepGRyn1BOzijF/I1xyNRKJoe3csT+b8ZiVCXJ5HLDhw/H9u3bYWFhUeV+RE0vCeW4uLgqu1a7uroiKytLH6cihJgJCysbuPsGseOUR+ZRR1n6bEM+rVrShPAFQgybuRhWtpoVF6d++Rq50hQOozINj29fZB9b2tihSbBxX8xp3rEXeo2bzY5lRQU48N08lBTmV3EUaUh0xx4hpD60y10I+ECg2IbDaBoXAZ+HblplLy7cz4NSRWUvzMGDpCL8/DvVTeaSWKuOcmqWvIo9G95TaSk+2BiHrHxNMrlbayd8ONEfFkLq8aZveplRZ2dnZGZmVro9Ojoa3t7e+jgVIcSMiLXKXpjLCuX0RE39ZEsbOzi60e9OosvR3RuDpn7AjstkJTi2fimUirIqjiLVeaKVUG7SvB34AuOvudc5YiLa9NKstMiVpuDI6kX0WuAI3bFHCKmPh1oN+fy9bWBlQcmP2uge6sw+zitS4H4Clb0wdQUlCnyuXTeZB3wwoSmc7Y3/PZwpEbtpSl6kZsl0LqgbUtJ/yeTsAgX7XI9QSiY3JL3M6tChQ7Fhwwbk5uZW2Hb//n1s3LgRI0eO1MepCCFmxFsroZwrTUZZaUkVe5sG7RXKriJqyEeeL7hzH7TtM4odpyc8wIWDmziMqHHLlaYiW5LIjpt36s1hNDXH4/HQf8p78GvZkX0uOfYWTv36DWdv5s0Z3bFHCKmP2OQi9jGVu6i9tgH2cLQVsOPz9/I4jIY0NIZh8N0zdZNfHihCmwCqm2xoYjfNCuVSuQo5hYoq9m4Yiekl+GBjnM65e7VxxgcT/HWaBhL90ktCefny5VAqlQgNDcVHH30EHo+HX375BVOmTEHnzp3h6emJxYsX6+NUhBAzol3ugWEYZCbHcRiNYaQnaFYoe1FDPlKFPi+9CTefAHZ89fedSLh3hcOIGq8ndzSrk3k8Ppp17MlhNLUjEAoxYs5yuHj7sc/dP38CV3/fyWFU5onu2COE1FWpXImE9FJ2HEwN+WpNIHim7MW9XKio7IXJOnwxE5eiNWW+OjZ3wIu9qW4yF7RLXgDqhniGFJ9Wgg82PkauVjK5TztnzH+pKSWTG5heEspisRjXr19HREQEdu/eDYZhsG3bNhw9ehQTJ07E5cuX4e7uro9TEULMiKuXr06tWGniAw6jaXilRQXIy5SwY1FQKIfREGNnYWWN4bOWQmChuc3s943LUZSXzWFUjZN2uQsP32awtnPgMJras7ZzwJh3voS1nSP73Ll96xF77Sx3QZkhumOPEFJXcaklUGn68dEK5TrqoVX2IrtAgZikosp3Jo3Ww6fFOnWTXR2EmPeiH9VN5oink6VO4jY1y3AJ5XhJCRZsikNekSaZ3Le9C94f3xQCSiY3OL0VEvH09MSmTZuQnZ2N9PR0SCQS5OTkYPPmzfD0pCtFhJDa4/H5EGmVvZDGx3AYTcPTrp8MAGJqyEeq4d4kEH0mvMmOiwty8MfPn4HR/lRKqiQvKUbyw1vsOKBtV+6CqQcXryYY9dYKndrPv29chjQT/71pTOiOPUJIXcVq1U+2tuTD19Oaw2gar3ZBDrC3obIXpqzwv7rJCqV69bm6brI/nO0tOI7MfAkEPHi56NZRNoTHqcVYsCkO+UVK9rn+HVzw3ng/SiYbiF4SyklJSSgp0dQ29fDwgJeXF/h89ZcvKSlBUlKSPk5FCDEz2nWUs5LjTLouqHb9ZAsrGzh7+nAYDWks2vUZjWYde7HjhHtXcP3PPRxG1LgkRl/TaWLXIqw/h9HUT5Pgdhj8mqZho6JMjoM/LEBavGnf3WEs6I49QkhdPUzWJJSb+9hAQCst60Qo4CG8labsxXkqe2FSGIbBd/ufIj1Hzj43ZYA32gZS3WSu+WjVUU7Nklexp37EpRTjw02PkV+sSSYP7OSK/43zo9+fBqSXhHJAQAAOHjxY6fYjR44gICCg0u2EEFIZcaBmla6suAAFWekcRtOw0rUb8nn7UUM+UiM8Hg+Dpn4AB1fN3UDn9v9EScQa0q6fbO/ioVOXujFq1S0CXYe/yo6L87OxY9kM7Pr8DcReOwuV0vCNUkzVnTt3kJenu/qN7tgjhNSF9grlEF87DiNp/HqEahLKmXlliNVK1pPG7cjFTFy8r/m726GZA17s48VhRKScyE2zQjmlgWsoP/ovmVxQokkmD+7sirljfSmZbGB6SShXt2KwrKyMXa1MCCG14R3YUmcseRLNUSQNT6pV8sKTGvKRWrCxd8TQmYvB46n/1qqUChxbvwTyEvoQVRVGpUL8nUvs2K9FR5O4kNNt9OsI7tJP57mUR3dwdO3H2LRgAq7+8RtKiwo4is50dOjQAcePH2fH/fr1w+nTp9nxs3fsGdrUqVPB4/Eq/ZeSklLpsUuXLn3uMdbWdBs+IfqWV6RAmtaKy2Cqn1wv7Zs5wNZK83v3/L1c7oIhehObXIxNWnWTXf6rm0wJROPgo9WYT5Ila7C7ih8+LcaHm+JQWKpJJg8Jc8PbY3yphjYHhNXv8nz5+fk6TUeysrKeW9YiNzcXu3btgkgkquupCCFmzMbeCS5evshJfwoASI27g9bdBnEclf7JSoqQk57MjsXUkI/UUpPgdug6ciouHd4MAMjLSMVf27/F0BkfcRyZ8UpPjNVpYhgc1q+KvRsPHp+PIdMXwtHNC7fOHIRCXspuK8hKx7971uLioc1o3X0IOg4YB1eRH4fRNl42NjYoLtZctDl79iymT5/OYUS6Zs2ahQEDBug8xzAMZs+eDX9/f/j4VF9Wad26dbC319xKLBAIqtibEFIXz66gDfGlhHJ9WAr56NrSCWdu5QBQ11GeNkRsEheMzVVhiQKf73ymbvJLTeHiQHWTjYVYq+RFiVyFnEIFXPX8/+dBUhEWbX6MYpmmV8ywF9wwZ2QTSiZzpM4J5e+++w6ffvopAPXttnPnzsXcuXOfuy/DMFi+fHldT0UIMXOiwFZsQlny+D7H0TQMaVKszljcjBLKpPa6jngFT2OuIzn2NgAg5tJJ+LfujFbdIjiOzDg9ua0pdyG0sELTVp05jEa/hBZW6P3iHHQd/grunT+O63/uRUG2pmSQQl6K238fxO2/DyKgTVd0HDgeTVt3oQ/ctdCuXTt8++23EAgEcHJS32J99erValfxjh071hDhITw8HOHh4TrPnT9/HsXFxZg8eXKNvsa4ceOo7jMhDUy73IWzvRAeTpQkq6/uoZqEcnqOHHGpJWjuQ4n6xohhGHx/4KnOKv5J/b3RLsiBw6jIs8RaK5QBdWM+fSaUYxKLsGjLY5RoJZNHdHXH/430ofeuHKpzQnnQoEGwt7cHwzCYP38+Jk6ciI4dO+rsw+PxYGdnh06dOqFzZ9P5kEYIMSxRUGtEXzoJAMhKTYCiTA6hhWU1RzUu2g35hJZWcPFqwmE0pLHi8wUYMvNj/Lr4NciK1SUN/tr2LURBreHi5ctxdMZHO6EsCmptcr9XAMDK1h6dBr2EDgPG4fGtC7h2chdSH93V2Sf+7mXE370MV1FTdBw4Hq3CB8PCikobVOf777/H+PHjMW3aNADq970//PADfvjhh0qP4fF4UCqVlW5vaDt37gSPx8OkSZNqtD/DMMjPz4eDgwN9YCOkgWg35AtuYks/a3rQKdgR1pZ8lMrVyacL93IpodxIHb2UiQv3NHWT2wfZY0JfqptsbDydLCHgA8r/8r2pmTKE+uunWeL9hEJ8vOUJSuSaZPKobu6YNZySyVyrc0JZe9VDUVERIiMjERpKK+oIIfonCmrFPlYpFchIegRRUOsqjmh80hM09ZNdvf3Ao7rzpI4cXb0w+PUFOLJ6EQCgTFaCY+uXYtKi9RAIadVTucLcTKRr1S1v1rEnh9E0PD5fgOYde6F5x16QJj3C9T/34EHUXzpN+rIlifjr129wfv9PaNNrJNr3HwNHV/rQVpkuXbogLi4Ojx8/Rnp6Ovr06YOFCxdi4MCBXIf2XGVlZdizZw+6desGf3//Gh0TGBiIwsJC2NnZYfTo0Vi5ciW8vKp/TUilUmRkZOg8FxcXBwBQKBRQKMyzOaRCoYBSqTTb7782zGWuGIbBw6dF7Li52LrW37O5zFVtCHhAl2AHnPsvEfnvnVxM7ucBpVJJc1VDxvC6ikspwcYTmrrJzvZCvDuuCRiVEgpVFQcamDHMlTHwdrFESpZ6JXlyRulz56O2c3U/oQhLtyWyF4cAYFQ3N0yL8OL0Ar0hGPp1VZfz1DmhrG3JkiX6+DKEEPJc7j5BEFpYQVGm7hib+vi+6SWUtVYoe/g15zASYgqad+yFdn3H4PbfBwGoV8Cf278BfV56g+PIjEf8ncs64+DOfbgJhAOefs0xZPoi9Br/f7h99jBund6PkkLN6p/SogJc/X0Hrp3cheadeqPTwPEQBbWmVSDPuHPnDpo2bYqQkBCEhITg1VdfxYgRI/DCCy9wHdpznTx5EllZWTUqd+Hi4oI333wT4eHhsLKywrlz57BmzRpcuXIF165dg6OjY5XHr127Fp988slztxUUFOj0YTEnSqUShYWFAKgedXXMZa6keQrkF2uSImIXVa1/PsxlrmqrfYAA5+6pH0uy5bgblwEfVwHNVQ1x/boqlqnw+W/pbN1kHoDZQ5zBUxTC2P6EcD1XxsLdkY+ULPXjxLRC5OZaVdinNnMV81SGlQczISvTNPgb2tkekV2tkZeXV8WRpsHQr6uCgto37NZLQhkASktLsX//fty4cQN5eXlQqXQvGfF4PPz888/6Oh0hxIwIhEJ4+ocg9dEdAEDKozvoNOhFjqPSH3lpMbLTNE1NxSaWLCfc6P3SG0h5dBuZyU8AANdP7kLTlp0Q0LYrx5EZB+1yF65if9g7m1+dWDsnV3Qb9RrChk5G7NUzuPbHLmQkP2a3MyolYq+eQezVM/AOaImOA8cjuHMfWun+nw4dOmDbtm1s+YjExET2jb8x2rlzJywsLPDii9X//XznnXd0xpGRkQgLC8PkyZOxdu1aLFiwoMrj58yZg/Hjx+s8FxcXh9GjR8PBwQHOzs61jt8UlK/+cXJyglCot49hJslc5uruU92kSIdgdzjY1u77NZe5qq1e7R3x0x85kP+XjLqTxKBVgLrePc1V9bh8XTEMg/W7n0Kap7nYMrGvJ7q39TRoHDVFP4NqTb1LcDte3Qg6s4B57t/6ms7VnSeFWHkwRSeZHNnTHa8O9DKbBQ6Gfl05ONS+LrleokpMTETfvn2RkJAAZ2dn5OXlwdXVFbm5uVAqlXB3d9fpEE0IIbXlHdCSTShLnkRzHI1+ZTyNAxjNH0txszYcRkNMhYWlFYbPWortn85gV/f/vmk5Xl32C+yc3DiOjluKMhkSo6+xY//QMA6j4Z7QwhKtukWgZfhgpDy6i+t/7sLjm+fBaP1eSouPwYkNn+Kf3WvQvt9YtO09AraOLhxGzT0bGxsUF2tqn549exbTp0/nMKLKFRYW4vDhwxg8eDDc3Or28z9p0iS89957+Ouvv6pNKHt6esLT8/kf/IVCoVl/4BYIBGY/BzVlDnMVl1rKPha7WcLFsW71681hrmrLXgh0CXFk6+9ejM7HlP5eNFe1wNVcHbuUiQv389lxuyB7TBoggoBvvIlEel0BPu6a31+SLDkEAsFzk7/VzdXNuAJ8uj1RJ5n8Uh8vvDrI22ySyeUM+bqqyzn0EtW8efOQl5eHy5cvIzAwEJ6enti9eze6d++OH3/8EatXr8bJkyf1cSpCiJnyDmjJPi7MyUBRXjbsnFw5jEh/0hM05S4EQku4ivw4jIaYEjefAPSd9DZO/fI1AKCkMA8nNizDuPe+Nes63ckPb6FMVsKOW4T15zAa48Hj8dAkuC2aBLdFfmYabpzej7v/HIG8VJM0LcrLwoWDG3H56C9oGT4QHQeOh0eTIA6j5k67du3w7bffQiAQwMlJvert6tWrsLauOiE0duxYQ4Sn49ChQyguLq5RuYuq+Pr6Ijs7W09REUJ0G/LZcRiJaeoR6swmlJ9KZUiSlsLR9PrvmpS41GL8dDyFHbvYCzH/paZGnUwmaj7umhIXJXIVcgsVcHGo3V1t12Pz8em2eMgVmmTyxH5eeHmA+SWTGwO9JJTPnDmDOXPmICwsjH2TyTAMrKysMG/ePMTExGDu3Lk4fvy4Pk5HCDFDosBWOmPJk2g069CDo2j0S5qkaQzm4u0LPt98a28R/WvTawQS719D7LW/AQBJMddx9eRvCBtSv8RSY/bk9iX2sbW9E7z9W3AYjXFydPdGn5feQLdRryH64klcO7kLeRmaxjhKhRz3zh3HvXPH4deyIzoOfBGBbcPN6kLFDz/8gHHjxmHatGkA1An5H374AT/88EOlx/B4PE6ayOzYsQP29vYYOXJknb8GwzBISEhAhw4d9BgZIeZLqWQQl6JJKIf42nIYjWkKa+EICyEPZf8lpy7cz8eQDpRRNlZFpUqs2JGgqZvMA+a91BSutUxKEm6I3HRrJqdkyWqVUL72MB+fbo9nf14BYEp/b0we4K23GIl+6SWhXFxczHaLdnR0BI/H0ymSHR4ejvfff18fpyKEmCl7Fw/YOrmhOE9d6T/l0R2TSShrr1D29GvGYSTEFPF4PAycOg9p8THIz0oDAJzfvxG+we1NrrllTTAMo1M/2TekvVklQWvL0toW7fuNQbs+o5Bw7wqundyFpJjrOvskxdxAUswNOHv6oEP/cWjdYwisbEx/pV3nzp0RFxeHx48fIz09HX369MGiRYswYMAArkPTkZGRgb/++gsTJ06ErW3FhFVSUhKKi4vRokULnWM8PDx09lu3bh0yMjIQERHR4DETYg6SpKU6t3SHNKGEsr7ZWgnQqbkDLseoyydcvJ+HIR08qjmKcIFhGPx48Ckk2XL2uYl9vdChWe3ruhJueDlbQsAHlP+1U5NkyRDqX7PSt1ce5GPZ9nj2YgIAvDzAG5P6UzLZmOkloezn54fk5GT1FxQK4ePjg8uXL7O39EVHR1d7+x8hhFTHwy8YiXfVKwtT4+5yHI1+lMlKkZWawI5FgeaX4CMNz9rWAUNnLcbuL94Eo1KBUSlxbP1SvPLJFljZmlePg+zUBORlSthxcOe+HEbTePD4fAS07YqAtl2RlRKP66f2IvrSSSjLNB/8cqUp+Pu3H3Dh4EaE9hyGDv3HwdlTzGHUDU8oFCIkJAQhISF49dVXMXz4cLzwwgtch6Vj9+7dUCgUlZa7eOWVV/DPP//o1Mxu2rQpXnrpJbRp0wbW1tY4f/48du3ahfbt22PWrFmGCp0Qk6Zd7kLABwLFNhxGY7p6hDqzCeWEdBkk2WUw076gRu3ElSz8eyeXHbcNtKdkYiMjEPDg7WKFlCx175aUTHk1R6hFxeRhudbKdAB4dZAIE/p6NUicRH/0siSnX79+OHz4MDueOnUqvvvuO8yYMQPTpk3DmjVrMGLECH2cihBixtz9gtnH0qRHUKkMf9uwvmUkPwbDqNixT3NqyEcahk+zNug2aho7zs9Kw6ltK3WSSObg8R3N6mS+QIjAduEcRtM4ufkEYNDU+Zi18iB6RM6q0ORRXlqMG6f24ucPJ+DQqg+RFHPDZF9nV65cYcu9bdmypcpkcnx8PH799VdDhcbasWMHPD09a7VyevLkybhy5QqWLl2KuXPn4urVq5g/fz7+/fff565yJoTU3sOnmoSyv7cNrCzobpmG8EJLRwgFmtqrVx+VVLE34cLj1GL8dExTN9nZXogPqG5yoyTWqqMs+S+xXJVL0RWTya9FUDK5sdDLX60FCxZg0aJFkMnUL5iFCxfi1Vdfxb59+3D48GFMmjQJ3377rT5ORQgxYx5aCWWFXKazsrexkiZqyl3wBUK4ivy5C4aYvLBhk+HbQlP/9GHUX7h/4XcOIzI87frJXv4hsLSm5Fhd2dg74oVhUzDj630YPvsTneapAACGweOb57H363ewbclruHfuOBRl1X+4aEzCw8Pxxx9/sOPs7GzY2trin3/+qbDvxYsX8dprrxkyPADApUuXkJ6eDoHg+fX5z549WyHhv3HjRty/fx/5+fmQy+V49OgRvvjiCzg40K3HhOhLbHIR+5jKXTQcexuhTtmEq7GUUDa0srIyTJkyBceOHauwrahUic93Jmrq5jIM/jfWB66OVDe5MRK7aWqUp1STUL5wPxef7dAtczFtiBgv9qZkcmOhl4Syn58fIiMjYWWlvhphbW2NTZs2IScnB5mZmdi6dSscHR31cSpCiBlz8wnSaViXGnefw2j0Iz1BqyGfly8EQr1UIiLkufh8AYbM+BjW9pq/yae3f6vTbM2UlRTmIzXuHjsOatedw2hMh0AoREhYP0z+eAMmffQTQsL6g/dMc9GM5Mc4ueULbHh/HC4c2ITC3EyOotWvZxOxDMOgtLSUk8Z7hJDGo1SuREJ6KTsOpoZ8DapHqBP7OEFahrTsmt2KT/Tjtddew44dOxAZGamTVGYYBqsOPtVJPMZd3IQfP3uLizCJHoi1GvOlZskqvUPtwv08fL4zga23DAAzh4kxrpdnQ4dI9KjeCeXi4mJ06tQJ69ev10c8enXjxg2MHDkSrq6usLW1RWhoKH788UedfS5evIgePXrA1tYW3t7eePvtt1FYWMhRxISQqggtreDeJJAdpz66w2E0+pGepFmh7OEbxGEkxFw4uHgg4vWF7Fghl+Hc/p84jMhwEu5dAaNVKic4rB+H0ZgmUeD/t3ff4VFV6R/AvzOTTHohjSQQICGFLr1JB5ESBAklCEpT9EdXWd1VqYuAi4Ai0hQQKYYSWCUUARGVKr1IIAkEQgokIaSXyczc3x/ZTDImhJtkWibfz/Pk2bnn3jv3ncM4e+adc9/TDMHvLMBby/eg0+DXYWWrPaM1Lysd5yK24pt/jMTPm5Yg9WGMkSIlIjKemMQ8qEslUjhDWb+6NHOCrFTm48ytDOMFUwuFhoZCLpdDoVBoJZUPX3iC30rVTU6Lu4iHf25BaGiokSKl6iqdUM4rUCM9W1nmmPN3cvGf3Q+1kslvB9fDq92YTK5pqp1QtrW1RWxsLCQS06pvc/ToUXTp0gXJycmYO3cuvvzySwQHB2sWDwSAq1evom/fvsjNzcXKlSvx5ptvYuPGjRg5cqQRIyeiinj6NdM8Trxbs2coKwsVeJJwT7PtVeq1EelT49YvokW3wZrtO3+ewKPY20aMyDDulaqf7OTujToe9YwYjXlzqOOObiFT8PbK/eg/4UO4eDXU2q9WKXH7/DEc/Oof2P3ZDCTHMbFMRLVHVKn6ydZyKXw8uIC9PjnYWuCFxiU/cJ7+K9OI0dQ+wcHBCA8P10oqf7frZ6w/UFI3uSAnDbcOz8fevbsRHBxsxGipOkrXUAaKZimX9vv1dKw9mKb1g9r/DamHYS+6GyI80jGd3Fs9YMAA/Pzzzyaz6nNmZibeeOMNDB48GHv37oVUWn7e/KOPPkKdOnVw8uRJTUmORo0a4a233sLRo0fRv39/Q4ZNRCJ4+jbD9ZNFi4CmJyegIDcbVrb2Ro6qalLj70Fd6rZoby7IRwb04qtv4vafv0CpKLrl9uSurzD6wzUm9wOxrqhVSty/cU6z3bBZeyNGU3tYyq3QskcwWnQfjIe3L+PikTDE3jgPoOQWyEext2Btz9q8RFR73IkvSSgH1LPh4mMG0K2FMy5HZwEAouLz8PipAnXryJ9zFulKcVI5JCQEMht3bD6RDzuXorGAIKgReWQBfvh+A5PJNVxdZzlkUmhmHyc+KUDzRkXf1U9cScOKvfFQl6qCMW1ofQR3djNCpKQLOqmhPHfuXERFReH111/HqVOnkJCQgLS0tDJ/hrJz5048fvwYn376KaRSKXJycqAu/RMIipLOx44dw7hx47TqO7/xxhuwt7fH7t27DRYvEYnnqTWLV6jRsyq1FuSTyuBWz6+Co4l0y76OG9q/PFqznRB1HfeunangjJot8e5fyM/J0mwHdexrxGhqH4lEggZN22H4u8sxaelOtO4bAgt50Yw83xe6wtGl5i7Acv/+fVy+fBmXL1/G9etFpZiio6M1bcV/sbGxRo6UiExF6RnKQT52Royk9ujSzAml8/Zn/ko3Wiy1Vc8+A/Du58fRfcp+2LmU3Ln04M+t+GblB0wm12DFCy8ePnwQnnVK11Euqlf+y+U0rNgTp5VMnvEqk8k1nU5mKDdv3hwAcOvWLezcufOZxxlqgZLjx4/D0dERCQkJGDZsGKKiomBnZ4fXX38dq1atgrW1NW7cuAGlUon27bVnKMnlcrRu3RpXrlyp8BrJyclISUnRaouJKbpdU6lUQqksWyumtlAqlVCpVLW6D8RiX4lX3FeOLnVhbeeI/JyiW9Xio6+hXlBr4wZXRUmxkZrHTh71AIm02u8FvqfEY18BbV4ahWsnf0Je1lMAwMlda+DTtD2kMu0F1cyhr2KuntY8llvbwtOvuV5ejzn0lb45uHqi5+jpaD/odVw58V/4tWhvkP7S1zXmzp2LuXPnarVNnTq1zHGCIJjtHQBEJF56thKPnpYsChfI+skG4WxvgRaN7HA9NgcAcOpmBmu2GohCqcbBc6nYeeIxsvMcUHrd3rS4S+gZVMhkcg1XvPDinj17MOHfJwHYAAASUwtw7NITrAp/iOL1+QRBDceMXzCo4z+MFS7piE4SyvPmzTOpAXJ0dDSUSiWGDh2KyZMnY+nSpTh58iS++uorpKen44cffkBSUhIAwMvLq8z5Xl5e+OOPPyq8xtq1a7Fw4cJy92VlZSE9Pb3ar6OmUqlUmoUNZX9LSpA29pV4pfvKtb4/Eu5cBgA8iLyCoG5DjRlalSWVml3tVLeBTj43+J4Sj31VpFW/UTi/v2hRvvTH8bhwbC+COr+sdYw59NXdK6c0jz18myEzK6uCo6vOHPrKUFQqFXxa94KVvb1Bxk1Zevg337Jli86fk4jMW3RCrtZ2kA8TyobStbmjJqF860EOUjMUcHNi2Qt9EQQBp25mYPORRDxKU2jvU6sQf20/bv/6Ba6iEMGDBzGpXIOFhoZiz549UCgUOP3LT/BpW3QX5MWoTPxxM10rmZx5cwumvc3ysuZAJwnlBQsW6OJpdCY7Oxu5ubl45513sHr1agDA8OHDoVAosGHDBixatAh5eXkAACsrqzLnW1tba/Y/y9SpU8ss3hcTE4Nhw4bBwcEBzs7OunkxNVDxDCAnJydYWOjkLWa22Ffile4rn6BWmoRyWsJdODk5mdSPWmKolIVIf/RAs+0T2Eonnxt8T4nHvirS4aURiDpzCE8fPwQAXDsWhja9XoHc2kZzTE3vq4zUJKT/7/UBQFD73nr7/+ma3leGZOi+cnDQfZ3m8ePH6/w5ici8lS53UcfeAu5OlkaMpnbp0swRGyKSNFX8z/yVgVe6cjEwfYh8kINvDiUgMi63zL7kmD9w79TXCB3WG9G/FmoW6gsPD2dSuYYqXSM768l9TXtuQUnpWUFQI/qXZfhi3usYOHCgEaIkXTPLbzo2NkVfgseMGaPV/tprr2HDhg04e/YsbG2LfgkuKCgoc35+fr7mOZ7Fw8MDHh7l3yJjYWFR679EymQy9oNI7Cvxivuqnn/J4nUFudnIeZoMZ496Roys8tISY6FSFmq26we20tl7gO8p8dhXRf+f1WPU/+HHrz4CAORlpePq8T3oOmyS1nE1ua/i/vpT81gikSCoQy+9vo6a3FeGZsi+4r8HEZkCrQX56tvWuEkRNZmLgyUC68lxJ6Fotuypm+lMKOtYUloBvjuShN9vpJfZl5Uchdu/rERW0hVN8njw4MEICQlhUtkMFCeV33p/eZl9glqFWz8vwtf/fhNdunQxQnSkDzpZlE8qlUImk1X4Z2dnh6CgILzzzju4e/euLi77TN7e3gCAunW1F3gpTgA/ffpUU+qiuPRFaUlJSZrnICLT4+nXVGs76d4tI0VSdY/uldRPlkik8Gjgb8RoqLZr3Lob6gW+oNm+cHgnstNTjRiRbt27dlbz2K2+P2zsHSs4moiISD8EQcCd+BzNdhDrJxtch8CSiWM37+fgaVZhBUeTWFm5SnxzMAFTVt4uk0y2kytx68hCnN4yRiuZDJQkIeVyuSapHBERYYRXQLoQHByM5Yv/qdUmqFW4dWQB1i5+izOTzYxOEsrz5s1Dq1atIJPJEBwcjNmzZ2P27NkYPHgwZDIZWrdujalTp6JZs2bYsmUL2rZti2vXruni0uVq164dACAhIUGrPTExEQDg7u6OFi1awMLCAhcvXtQ6RqFQ4OrVq2jdurXe4iOi6rG2dYCLV8nKwPFR+vs80Yf4qGv4fc86zbaThzcsLMuW3yEyFIlEgp6jShYRUxYW4Mx/NxkxIt1R5Ofi4e3Lmm2/Vp2NGA0REdVmj58qkJlTslA96ycbXoeAkoSyIABnbmUYMZqar1Cpxv5TyZj0eST2nUqBUiVo9lnLpXjjJU9Y3VuDuKv/hdzSotwZyH9PKoeFhRn6ZZAOjQkZAEvVEwCAWq3EtZ8+wuCu9Tnz3AzpJKHs7e2N1NRU3L59Gz/++CNWrFiBFStW4KeffsKtW7fw+PFjNGvWDPv378fNmzdhaWmJjz76SBeXLteoUaMAAJs2aX8Z/vbbb2FhYYFevXrByckJ/fr1w/bt27UWadm2bRuys7PL1EcmItPi5ddM8zgx5qYRI6mcmCunEL7iPRTkZWvagjr2NWJEREW8/JohqGMfzfbNPw4iNSHWiBHpRlzkJa3yMvzvjYiIjKV0uQsACOQMZYNzcbBAE5+SpPKpckoz0PMJgoA/bqTj7VW3sfFgIrLzSn4okUqAQR1dsWlOU4zp44nvNn+DsWPHVljOojipPHbsWC54W8MdPnQQJzdNQOSx/+DM5tF4dPsoNm/ezJnnZkgnCeXly5dj2rRp8PPzK7PP398f06ZNw9KlSwEAAQEBeOedd3DmzBldXLpcbdq0waRJk7Bz506MHj0aa9euxahRo/DDDz/gH//4h6acxaeffoq0tDT07NkT69evxyeffILp06ejf//+GDBggN7iI6Lq82rcXPP4SeJ9FCrK1kM3NTdPHcJPX38CZWHJKsdNO7+EF4dOquAsIsPpNvxtSGVFdWYFQcDvu9caOaLqu3etZLxh5+wGt/plxypERESGUHpBPm9XORxsWdvdGF5s7qR5fD02G+nZSiNGU/NEPsjB++ujsWTnfSSlKbT2dQhyxNpZQZjxqg9cHIoWnLS0tMT27dufO0M1ODgY27dvh6UlF6qsqSIiIooW5kuLR9KNcIwb0V+rnMnhw4eNHSLpkE4SyvHx8RUudGJhYYGHD0tWV2/UqFG5i+Hp0vr167FgwQKcP38es2fPxpUrV7Bq1SosWbJEc0zbtm1x/Phx2NjY4N1338XGjRsxefJk7N27V6+xEVH1efmVJJQFtQrJcVFGjOb5LhzeiZ83L4WgLvn1vl3/URj41lxIpDr5KCaqNmcPb7Tu86pmO/bGOcRFXq7gDNMmCIJW/eQGTdty8SMiIjKa0jOUA+vbGTGS2q1Ls5K1FNRq4Fwky16IkZRWgKU77+O99dGIjNOebe/nZY0lkxtj0QQ/NKxr84xnIHNWnExWKBSQy+UIDw/HunXrtMqZjB07FmfPnn3+k1GNoJMsRvPmzbFu3To8fvy4zL5Hjx5h3bp1aN68JPlz7949eHp66uLSz2RpaYn58+fj/v37UCgUiI6OxuzZs8sc161bN5w+fRp5eXlITk7GmjVr4ODgoNfYiKj63Oo1goXcWrOdFPOXEaN5NkEQ8NvutVo1kwEJuoW8jV6hM5jcIpPTech4WNnYa7Z/27UGglptxIiqLjkuCjkZTzTbge17GS8YIiKq1VQqATEJJUk41k82nrp15Aiox7IXYmXlPXvBPVdHS7w3wgerpwehjT/zKLVVecnkZy28OG/ePM5UNhM6SSh//vnnSExMhL+/P15//XUsXLgQCxcuxOuvv46AgAAkJibi888/BwDk5+fju+++Q+/evXVxaSKqpaQyC3j6NtFsm+LCfGqVEj9vWYaLR37QtEmlMvSf8A90GjzOiJERPZuNvRM6Bb+u2U6Oi8adCyeMGFHVlS53IbOUo1GLjkaMhoiIarMHyfkoKCxZsCyI9ZONqltLZ83jq3ezkJXHshd/p1QJ+PFMKiYtf/aCe9++3xQvtXOFTMpJMrVZWFhYucnkYqWTykqlklUBzIROijb16tULZ86cwfz587Fv3z7k5eUBAKytrdGvXz8sWLAAbdu21bQlJibq4rJEVMt5+TVH/J2rAIBHsZHGDeZvChUFOLhhAe5eOaVps7C0wuC358O/bXcjRkb0fG36heDqif3IfPIIAHB63zcYNqeVkaOqvNLlLrz8msPC0sqI0RARUW0WVarchUwK+HmzLIAxdWvujC1HkgAAKjVw7lYmXmrnYuSoTIMgCDh9MwObf36E5HSV1j6pBBjQwRVj+3lqaiQTFS+kGBoaWuHCizt27MCJEye0StFSzaWzVQDatGmDn376CWq1GsnJyQAADw8PSFkblIj0xKtxM83jnIwnyE5Phb2zmxEjKlKQm43/rv6n1qxpK1t7DJuxFPWDWhsvMCKRLCyt0G34Wzj0zb8BANlPkxF55hC6DZ1g3MAqISfjidYPTf5t+EMOEREZz51SC/L5etrAypLfk43J280Kfl42uJdUNBnu1M10JpRRtODeN4cSytRIBooW3Js80Is1kqmM4oUXn2fgwIHo0qULF140EzpfVlYqleq9PjIREQB4+TXT2k66dwsBbXsYKZoiORlPEL5yDlIexmjabB1dEPL+Cnj4+BsxMqLKadKpHy4e3YXkB0ULXl7/ZQ/a9xsOe6ea8WXr3vVzWttBHVhqi4iIjCcqPkfzOJDlLkxCt5ZOmoTy5egs5OSrYGctM3JUxpGUVoDvjiSVqZEMFC249+ageqyRTERadPqzaEFBAc6ePYsff/wRqampunxqIqIy7J3d4OBaV7OdEH3diNEA6cmJCFs6TSuZ7OTmhdc+Xs9kMtU4EqkUPUdN1WwX5ufiz4PPn3lgKmKvl5S7cPFqAPs6xr97gYiIaqd8hQr3H+drtgO5IJ9J6N7CWfNYqRJwPjLDeMEYSUUL7tWxl2LWq/W44B4RlUtnCeXVq1fDy8sL3bp1w/Dhw3H9elFiJzU1FW5ubti8ebOuLkVEpOHl11zzODH6htHiSHkYg7Cl/4f05ARNm1s9P7z2yQY4uXsZLS6i6mjQtB18W3XWbF/7dT8yUkx/HQRloQL3b/6p2W7UopMRoyEiotouJjEPanXJNhfkMw313a3RqK61ZvvUzdqTUC5UqrH/VPIzF9wb19cDyyd5ol/bOlxwj4jKpZOE8pYtWzB79mwMGDAAmzZtgiCUfBi5ubmhT58+CAsL08WliIi0eJeqo5z8MAZqleFXaI6PuoZdy2YgJyNN0+bVuDnGfLwOto51DB4PkS71GDkVEknRcEGtUuKPvRuMHNHzxUddQ2FBnmY7qGNfI0ZDRES1XVSp+snWcil8PKwrOJoM6cUWTprHF6MykVugquBo01RYWIhx48YhIiKiwuMiIiIwdtw4nLyairdX3cbGg4nIzit5vVIJMLCjKzbNaYrRvTxY55uIKqSTT4gVK1Zg6NCh2LlzJ4YMGVJmf7t27fDXX3/p4lJERFpKz1BWFSqQmnDfoNe/e/U0wle8h4K8bE1boxYdMfrDryC35uwTqvnc6vmi2YsDNdt3LpzQWuzOFN27dkbz2NrOEV6+TY0YDRER1XZ34ksSygH1bDjj04R0K1X2olAp4MKdTOMFU0UTJ07Ejh07EBIS8sykckREBCZOn4+7kpfw2a54JKUptPZ3CHLE2llBmPmqD1wcuGAaET2fThLKMTExGDhw4DP3u7i44MmTJ7q4FBGRFo+GAZDKStYXTbp702DX/uv0Yfy45mMoC0sGZE06v4Ths5dDZsGBGJmPzq9MgIWllWb717A1WncjmRJBELQSyj5BrSGRcoYNEREZT+kZykE+dkaMhP6uYV1r1HcvGeOcKmdROlMXGhoKuVwOhUJRblJ5x97DmLc5Eu3HbEKd+i9o7fP1tMaSyY2xaIIfGta1MWTYRFTD6eQblrOzc4WL8N26dQuenp66uBQRkRYLSyt4NAjQbMdHXTPIdS8eCcORTUsgqEtuE2vbbyQGvTWXySsyO/bObmjW4xXNdmL0ddy9etqIET1b2qM4rTrPAe17GS8YIiKq9dKzlXj0tGTyQSDrJ5sUiUSiNUv5wp0s5CvUzz7BBAUHByM8PLxMUjkrT4l/fvUHvv/TDXWDXtI6x9XREu+N8MFXM7jgHhFVjU6yHoMGDcLGjRuRnp5eZt9ff/2Fb775Bq+88krZE4mIdMDLr6SOctK9W3q9liAI+H3Pevy2++tSrRJ0C5mC3q/NhETCWxjJPLXo+SpsHEpqgv++e61RapY/T+nZyVKpDI1feNGI0RARUW0XVarcBQAE+TChbGq6laqjXFCoxqWomlf2onRSubBQhVmLdyN0wUVcS3SAVFZy56S1XIrX+3ni2/eb4KV2riy/QkRVppOE8uLFi6FSqdCiRQt88sknkEgk2Lp1K8aNG4f27dvDw8MD8+bN08WliIjK8GpcUkc5IyUR+blZermOWqXE0S2f4cLhHZo2qVSGl8b/A50Gv66XaxKZCktrG3R+ZYJm++njh7jxx0HjBfQMpRPKdRsFQW7DL+5ERGQ80aUSynXsLeDuxLJopsbPywZeLnLN9qmb6cYLphqCg4OxY9c+tB+9BoG934NaWrL4owSCZsG91/p6wlouM2KkRGQOdJJQ9vb2xqVLlzBgwADs2rULgiBg27ZtOHDgAMaMGYNz587Bzc1NF5ciIiqj9AxlAHh0T/cLhikLC3Bg7TzcPFWSQLOwtELw/y1Eq55lFyMlMkctug2Gi1dDzfbp/d9CkZdbwRmGlZ+ThYToG5ptP85OJiIiIyu9IF+gjy3vZjNBEokE3Vo6a7bPR2ZCUVizyl4AQFxyPg7H+MK1UWetdpvCOKyd1YQL7hGRTukkoRwXFwcHBwd8++23SEtLw+PHj5GUlISnT59i8+bNcHBwQFxcnC4uRURUhpO7N2zsS25VS4i5UcHRlVeQm43wlXMQc+UPTZuVjT1C3vscAe166vRaRKZMKpOh+4h3NNt5Wem48PMPRoxI2/2b57Xqmgd17GPEaIiIqLYTBAF34nM024H1eNeMqSpdRzlPocblaP3c8agv5yMzMHttFBKflNTrzk2Px4Wwd3Dwq5G4efEXI0ZHROZIJwllX19f7N+/X7Pt7u6OunXrQvq/hal++ukn+Pr66uJSRERlSCQSrbIXCVHXdfbcORlp2PWfmYi/c1XTZuvoglH/XI36Qa11dh2imqJx6xdRP7BkhfCLh39A9tNnL8xrSPeun9U8dnTzRJ269Y0YDRER1XaPnyqQmVPqh07WTzZZAfVs4OFcMnu3ppS9EAQBu04+xsJtscgrKJlVnRZ3AUGS48hKvKK1UB8Rka7oJKEsCEKF+wsLCzXJZSIiffDyK0koP35w57mfS2JkpCQibOk0pMRFa9qc3Lww5qN18PAJqPbzE9VEEokEPUZN1WwrCwtw5sdNRoyoiFqtQuz1c5rths06GDEaIiIi7XIXABBYnwllUyWRSLRmKZ+LzIBCadplL/IVanwW9gDf/ZyE0l99Hl7ehY9DvbBx7ReahfqYVCYiXatyljczMxNxcXGaUhZPnjzRbJf+u379OsLCwuDl5aWzoImI/q50HWVFXg7Sk+Or9Xwp8Xfxw5KpWs/j6u2L1z7ZAGcP72o9N1FN5+XXTKucxM0/DiI1IdaIEQFJd/9Cfk7JquxBHVjugoiIjCvqYUlC2dtVDgdbCyNGQ89TOqGck6/G1Zhs4wXzHMnpCszZEI3frqdr2tSqQkT+vBjLZryIV4YEAyhaqI9JZSLShyonlFetWgVfX1/4+vpCIpFg9uzZmu3Sf23atMGhQ4fwzjvvPP9JiYiqyNO3CVBqkZOku39V+bnio65j17LpyMl4omnz8muOMR+vg61jnWrFSWQuug1/G1JZ0RdjQRDw++61Ro3n3rUzmsdya1uWpCEiIqPTWpCvvp0RIyExgnxs4epo+mUvbt7Pxqyvo3A3MU/TVpCdisu7/w9rFk1AcHCw1vF/TyqHhYUZOmQiMkNV/om0f//+sLe3hyAI+OCDDzBmzBi0bdtW6xiJRAI7Ozu0a9cO7du3r3awRETPYmVrD1fvRnjyv1mS8VHX0azrgEo/z92rpxGxbh6UhSULWjRs3gGvzvoMMguuikxUzNnDG236Dselo7sBALE3ziEu8jIaNG37nDP14961kvrJ3v4tILPgLDAiIjIelUpATEJJQpn1k02fVCpBtxZO+PFM0doQ525lQKkSYCGTPOdMwzn85xOs/SkeSlVJjQt/b2ukXgzHe2sWlEkmFytOKoeFhWHLli2GCpeIzFiVv2116dIFXbp0AQDk5OQgJCQELVq00FlgRESV5eXXTJNQTrx7s9Ln/3X6CH7esgyCumTxlCad+mHgW59AKpXpLE4ic9EpeDxunjqEgtyiW0JPhn2F1+dvgsTA6yZkpj5CasI9zXZAu54GvT6RKTp58iR69+5d7r6zZ8+ic+fOFZ6fkJCAd999F0ePHoVarUbv3r2xatUq+Pn56SNcIrPzIDkfBYUlSb8g1k+uEbq1cNYklLPyVLh+LxttAxyMHBWgVAnYGJGAA+e0F0Lu9UIdzA7xgZXluuc+R3Bw8DMTzkRElaWT6Tvz58/XxdMQEVWLl18z3PzjIAAgLSkOhQX5sLSyFnXuxZ/D8Nuur7Xa2vQbgd5jZkIiMZ1ZCUSmxMbeEZ2C39CUu0h5GIPb54+jaZf+Bo3j3vWS2ckSiQT+bXsY9PpEpmzmzJno0EF7kUp/f/8Kz8nOzkbv3r2RkZGBjz76CJaWlli1ahV69uyJq1evwtXVVZ8hE5mFO6XqJ8ukgJ+3jRGjIbGaNrRDHQcLPM1SAigqe2HshHJGjhJLdt7H9XslNZ0lEmDiy14Y0cOD31WIyCh0fj9odnY2nj59CqH0MqP/06BBA11fjohIw6txc81jQa3C4wdRqB/YqsJzBEHAqfAN+PPQjlKtErz46pvoPOQNPUVKZD7a9B2Oq7/sQ+aTRwCAP8I3IKB9T1hYWhkshtL1k93qN4atg7PBrk1k6rp3744RI0ZU6py1a9ciOjoaf/75pyYZPXDgQLRo0QIrVqzAkiVL9BEqkVmJKlU/2dfTBlaWhr17h6pGJpXgxebOiPjfTOAzf2Vg2iv1ITNS2YvYR3lY+H0sHj8tKcdnayXFh6GN0LGJo1FiIiICqrEoX2n5+fn417/+BQ8PDzg5OaFRo0blLtBHRKRPrt6NYGlVMvsj8e6NCo9Xq5Q4tvU/WslkqVSGl96Yw2QykUgWllboNvwtzXZWWjKu/LLPYNcvLMhDXORlzbZvy4pv4yeqjbKysqBUKkUfv3fvXnTo0EFrZnOTJk3Qt29f7N69Wx8hEpmdqPgczeNA1k+uUV5s4aR5nJGjxM372RUcrT+nb6bjvXXRWsnkem5W+GJqIJPJRGR0OpmhPHXqVGzduhXDhg1D9+7dUadOHV08LRFRpUilMnj5NdUklxKirgMDx5Z7rLKwAAc3LELM5d81bRaWVhg4ZS4CWX+VqFKadOqHi0d3IflBFADg3IGtaNFtMGzs9f9l58GtS1ApS75oBXXso/drEtUkEydORHZ2NmQyGbp3747ly5dXuFi2Wq3G9evXMWnSpDL7OnbsiKNHjyIrKwsODs++BTw5ORkpKSlabTExMQAApVJZqeS2OVEqlVCpVLX29VdGTe+rfIUa9x/na7b9vaz19lpqel8Zkti+alrfGo62MmTmFq2r8vv1p2je0HAlS9RqAWEnk/HDr9qfo20D7PGPkT6wt5Hp/d+b7yvx2Ffisa/EM3RfVeU6Okko79u3D2+++SY2bNigi6cjIqoyL7/mmoTyo9jb5R5TkJeDH7/6CA9vl8xqlNvYYej0JWjQtK1B4iQyJxKpFD1HTcOe5bMAAIq8HJw7sBW9x8zQ+7VjS9VPtnNygbtPxbVhiWoLuVyOkJAQDBo0CG5ubrh16xY+//xzdO/eHWfOnEGbNm3KPS8tLQ0FBQXw8vIqs6+4LTExEUFBQc+89tq1a7Fw4cJy92VlZSE9Pb3yL8gMqFQqZGcXzXSUybjYb0VqUl8plUp89tln6NOnj2bR+jvxBVCrS47xdFLi8OHDOHHiBD788ENYWOiu8mRN6itjq0xftW1sjZM3imaZn/4rHaNftIFUqv+yF/kKNTYcTsPFmHyt9kHt7TG6uxOUBVlIL9B7GHxfVQL7Sjz2lXiG7qusrKxKn6OT/yeTSCRo25ZJGCIyPk+/ZprHuZlpyEpLhoOLh6YtJyMN+1bNQXJctKbN1rEOQt77HB4NAg0aK5E5adC0LfxaddEskHf1RDja9A2Bs4e33q4pCIJW/WSfpu24MA3R/3Tt2hVdu3bVbL/yyisYMWIEWrVqhX/96184cuRIuefl5eUBAKysytZBt7a21jrmWaZOnYqRI0dqtcXExGDYsGFwcHCAs7NzZV6K2Sie/ePk5KTThKI5qkl9NXnyZOzatQubNm3Cjh07MHDgQCT9larZby2XIi7qIl4fNxYKhQJpaWnYtGmTzq5fk/rK2CrTV73byjQJ5YwcNZIy5WjeyE6v8T1KU2Dxrgd4kFySMba0kGDG0Hro3dpZr9f+O76vxGNfice+Es/QfVXRnWfPopOohg4diuPHj+Ptt9/WxdMREVWZV6mEMgAk3bulSShnpCRi74r3kZ4cr9nv6OqJEXO+QJ269QwaJ5E56j7y/xB74zwEQQ21SoU/wtdjyP8t0tv1kuOikZ1e8qU9qENvvV2LyBz4+/tj6NCh2LdvH1QqVbkzXmxsim7rLigoOwUuPz9f65hn8fDwgIeHR7n7LCwsavWXSJlMVuv7QKya0lcjR45EWFgYsrKyMGLECISHhyM6q4Vmv4t1HkaNHAGFQgG5XI6RI0fq/DXVlL4yBWL7qm2AM+xt4pGdV1T24mxkFl7wd6rwnOq4djcLn+64j6z/XQ8AXB0tMXecL4KMVIOb7yvx2Ffisa/EM2RfVeUaOlmUb+7cubh37x6mTJmCS5cuISUlBWlpaWX+iIj0zc7JBU5uJbfpJkRfBwCkxN/FD0umaiWTXb0bYewnG5hMJtIRt3q+aNF9kGY76sKvSLp3S2/XKz07WWYpR6MWHfV2LSJz4ePjA4VCgZycnHL3u7i4wMrKCklJSWX2Fbd5e+vvzgMyvMLCQowbNw4REREVHhcREYFx48ahsLDQQJHVDMHBwQgPD4dcLodCoUBISAiu3in5sfPsL7s1yeTw8HAEBwcbMVoSy0ImQZdmJQnk039lQK0WdH4dQRDw05kUfLT5rlYyuYmPLVZPCzRaMpmI6Hl0klAOCAjAlStX8O2336Jjx47w9PSEu7t7mT8iIkPwatxc8zgx5iYSoq9j17LpyMl4UnKMXzOM+Xg9bJ1cjBEikdnqOmwyLOTWmu2Tu76GIOj+CxigXT/Z07cpLCzL3qJPRNru3bsHa2tr2Nvbl7tfKpWiZcuWuHjxYpl958+fh5+fX5VuiyTTNXHiROzYsQMhISHPTCpHREQgJCQEO3bswMSJEw0coekLDg7GjrB98GkVjCYvz0dmQclMr7T460wm11DdWjhrHqdmFOJOfK5On79Qqcbq/Q+x7kCCVs3tl9q54LMp/nBxtNTp9YiIdEkn86bnzZtn0jULP/30U3zyySdo3rw5bt68qbXvzJkz+OCDD3D58mU4Ojpi1KhRWLJkyTMH2URk+rz8muH2+eMAim6J37viPSgVJbfuNmzWHsNmfQYLS7mxQiQyW/bObmg/IBTnfvoOAJAYfR13r56Gf5tuOr1OTkYakmIjNdv+bbrr9PmJarqUlJQyEzquXbuGn376CQMHDoRUWjSvJC4uDrm5uWjSpInmuBEjRuCf//wnLl68iPbt2wMA7ty5gxMnTmDOnDmGexFkEKGhodizZ49mdu3fE5/FyeTiWbahoaFGjNZ0CIKA2Ef5+PN2Ji7cycTtuHpoPujfZY7LTb3DZHIN1drfHnbWUuTkF2V7T91MR9MGuqmj/DSrEIt33MetByV3i0glwFuD62FoVzeTzq8QEQE6SigvWLBAF0+jF/Hx8ViyZAns7Mp+8F+9ehV9+/ZF06ZNsXLlSsTHx+Pzzz9HdHQ0Dh8+bIRoiUgXStdRVquUUKuUmu2gjn0waMo8SKVcVZZIXzoMGIPrJ39CbmZRuavfd6+FX6vOkMp0V/8r9sY5oNTM56COfXT23ETmYPTo0bCxsUHXrl3h4eGBW7duYePGjbC1tcWyZcs0x73xxhv47bfftO4kmDp1Kr755hsMHjwYc+bMgaWlJVauXIm6devi/fffN8bLqVBhYSEmTpyI0NDQCpN2ERERCAsLw5YtW2BpyZl/xYpLNhQnjUsnlf+eTK7tidF8hQpXY7Lx552iJHJqRsXlP5Iif8bYkYNrdZ/VZHILKTo3dcIvV54CAE7dSMebA72rneyNTsjFom2xWu8fexsZPnqtEdr48w4QIqoZqvzN7vLly5U+p23btlW9XJXNmTMHnTt3hkqlQmpqqta+jz76CHXq1MHJkyfh6OgIAGjUqBHeeustHD16FP379zd4vERUfe4NAiCzsIRKqT3Ib9M3BL1fm8Vf/In0TG5ti67DJuH4958DAJ4+fogbv0fghd7DdHaN0vWT63g2gEMdltYiKm3YsGHYsWMHVq5ciczMTLi7u2P48OGYP38+/P39KzzXwcEBJ0+exLvvvovFixdDrVajV69eWLVqlUmWsSsu2bBnz55nJjxLJ0YBYPv27YYO06SVTior1VK8u3Q/vj/xFOd/3Q+5ow+QlYDwvXtqZWI08UkBLtzOxJ93MnH9XjaUqorLOGWn3kVyzB9IuXsKTx9eQqRcjsGDmVSuqV5s4axJKCenFyI6IQ+B9ate1/jktadYtTcOCmXJ+6iBhzXmv+4LbzeW7iKimqPKCeX27duLTsoIggCJRAKVSvX8g3Xo999/x969e3HlyhXMmDFDa19mZiaOHTuGd999V5NMBopmabz77rvYvXs3E8pENZSFpRweDQORdPev/7VI0HXYJHR5ZYIxwyKqVVp2H4zLx/YgLekBAOD0/m/RtHN/yG2qv7iMSlmIB39d0Gw3at6h2s9JZG5mzpyJmTNnPve4kydPlttev3597NmzR8dR6QdLNuhGcHAwVm8+gJ2nCmDr7IMsAM0GtAQAWEjVOJnggMSIBATUt0VAPRt4u1pBKjW/H+kLlWrcvJ+DC7czcSEqE/EpBRUeL7eQ4IXGDrApfIBlH01EZuoDyOVyTJo0CZs333jm+5JqhrYBDrCRS5GnKCl7UZWEskot4PujSdj9W7JWe+emjpgzqiHsrHn3JBHVLFVOKG/ZskWXceicSqXCjBkz8Oabb6Jly5Zl9t+4cQNKpVJTF66YXC5H69atceXKlQqfPzk5GSkpKVptMTExAAClUgmlUlneabWCUqmESqWq1X0gFvtKvMr2VfuBY3Fw3TzILCzRfcT/oWXPIbWin/meEo99JV5V++rF4VNw4OuPAQB52Rk4f3gHurxS/cWc4iIvQ5FfsjCOf7ueJvPvyPeVeIbuK/6bmK/ySjbs2hOOYa+wZINYuQUqbD6ciIM3PWDrXHa/Ui3FX/dz8Nf9knqvdtZS+NezRWB9WwT87389nC1r5J1gaZmFuPC/MhaXY7KQV6Cu8HgPZ0t0bOKEDkEOaOXngONHD5X7Phs8eHC5pUSo5rCylKJjE0f8dj0dQFHZi4kve1XqfZ6Tr8J/wh7gzzuZWu1jetfFuH6eZvnDDBGZvyonlMePH6/LOHRu/fr1ePDgAY4fP17u/qSkJACAl5dXmX1eXl74448/Knz+tWvXYuHCheXuy8rKQnp6euUCNiMqlQrZ2dkAAJmMv7RWhH0lXmX7yqVBU4TO/x6QSmApt641/03yPSUe+0q8qvZVnQZNUde3GR7H3gIAXPo5DA1f6AlbJ5dqxXP7wm+ax3Ibe9i41DOZ/8b5vhLP0H2VlZWl92uQ8ZROKls5N8JXv9hizy9fIXzDh0wmP8elqEys3v8QyenapcIKslMht60DyTPWncjJV+Pa3Wxcu5utaXOys0BAPRsE1C9KMAfWs4WLo+nVq1arBUTF5xbVQr6diZjEvAqPl0qBZg3t0DHIER2bOKKBh7UmoVjRjxYV1aemmqNbS2dNQjkpTYF7SXlo7C1ulnJCagEWfn8PD0vNdLeylOL9kQ3QvaWzHqIlIjIM3a2OY0KePHmCefPmYe7cuc+s85aXVzRosLIqW6fI2tpas/9Zpk6dipEjR2q1xcTEYNiwYXBwcICzs3PVgjcDxTOAnJycYGFhlm8xnWFfiVe1vnLWWzymiu8p8dhX4lWnr3qNmYFdS/4PAKAqVODWyXD0G/+PKsciCAIS71zSbPsEtUYdl+olqHWJ7yvxDN1XDg5c6MjcBQcHY+/ecCzZnQK5rQvS0B3txn6HmN++wKYvPmIS72+y8pT45mAijl1K02pXFebh7qn1eKmNHb7/eies6vjCtX4rDBrxNnKFOkh48uwSEBk5SlyMysLFqJIfcFwdLRFY30Yzizmgni0c7cT/N6+rRRez85S4FJ2FC7czcTEqCxk5Fd+14GRngfaBDujYxBFtAhzgYFN+zGFhYRX+aPH3pHJYWBjfizVM+0BHWFlKUVBYNHP99M0MUQnlS1GZWPbDA2Tnl5T+9HC2xLzXfUUnpImITJVZftP55JNP4OLiUqZucmk2NjYAgIKCsgOi/Px8zf5n8fDwgIeHR7n7LCwsav2XSJlMxn4QiX0lHvtKHPaTeOwr8araV/X9WyCoY1/c+fMXAMCtM4fRfkAo3Or5VimOtKQ4ZKQkaraDOvQ2uX8/vq/EM2Rf8d+jdmjYvCec69/VbDt6BKLtyLW4muGE9mkF8HTholcAcPZWBtb89yHSsrSTqk8eXEDU8aXYvnk1goODETx4EEJCQpAefxUbLochPDwcvfoOQHRCHqITchEVn4vo+Nwys5u1njOzEGdvFeLsrZLb/T3ryDWzmAPq2cC/nu0za8hWddFFQRDw4HE+LtwpWlDv1oMcqCuuZIGAejZoH+SIjkGOCKxvK6oUQXEpyIoS3sVJ5eKEN9Us1nIpOgQ54NTNDADAHzfT8fpLns8seyEIAvadSsHmw4lQl1rDsUUjO3w8thGc7U1v1j4RUWWZ3cg6OjoaGzduxBdffIHExJIvnPn5+SgsLMT9+/fh6OioKXVRXPqitKSkJHh7exssZiIiInPWPWQKYi7/DpWyEIIg4LddXyPkvc+r9Fz3rp3RPJZKZfBr/aKuwiQiMxB36zdc278CjXvMhL1ryQ9Xp29m4M/bmQjp7oHRvTxgLa+dJWnSs5VYfyBec/t+MWVBDu78ugqPb0UgPHyvqJINbfwdSj1vYVGSOT4XUf9LND/NevYM4EdPFXj0VIE/bpTEUd/dCoH1bBFQ3xaNvazgYlOU/a3MoovWtg7o3H8C1vz3IS7cyaww0Q0ANlZStPV3QIcmjugQ6Fil8hyWlpbYvn37c48LDg7mzOQarFtLZ01COT6lAHHJ+WhYt+wkNEWhGqv3P8QvV55qtQ/q6Ip3htSDpYXUIPESEemb2SWUExISoFarn7myta+vL2bNmoWFCxfCwsICFy9exKhRozT7FQoFrl69qtVGREREVefk7o3WfYbj0tFdAID7N88jLvISGjRtV+nnunf9rOaxR8NAWNnY6SxOIqrZSicW0x78ieFvL0eKtBUsrOwBAIVKAWG/PsaxS2mYNMALvVvXqZELyFWFIAj4/UY61v4Uj8wcldY+y7xYnNwyFer8tCqXbHC2t0SHIEt0CHLUtKVmKBCdkKeZxRwVn4usPO1rlxafUoD4lAKcuFqUiJNKgAYeaQj0aYWFa47g83/PRlpipFZSOSIiAmMnTodni2HwCOiJuo274GCkBMCTZ16nvrsVOgY5on2QI1o0smOCj0TpEOQIuYUECmXRlONTNzLKJJSfZBbi39ticSe+ZOFgmRT4v1fqY3AnN4PGS0Skb2aXUG7RogX2799fpv2TTz5BVlYWvvzySzRu3BhOTk7o168ftm/fjrlz52rq6m3btg3Z2dll6iMTERFR1XUKfgM3Tx1EQW7R4k0nw9bg9fmbIJGK/yKfn5uFhOhrmm2/F7rqPE4iqpn+vjDa3j27EBwcjN37DmHxpuPwbvkKJJKiz5snmYVYvjsOEedS8XZwfQT5mHct07TMQqz58aFWyQkAsLeWYUpwPfRs2QyTUvvqvGSDm5Mcbk5ydGnmBKAoqf34qaIowVycaE7IRV5B+XUo1AJw/3E+7j/OB1AHHcZuhVqpQFZKNP619jy2/fIEidkO6PrmfzXnqMp5KguZBK387NExyBEdmjjC25VlT6hyCgsLMWXyRNR7YRpi04qSyKdupmNsP0/NMbfjcvDxt7eRW1hy94OjnQwfv+aLVn72Bo+ZiEjfzC6h7ObmhmHDhpVp/+KLLwBAa9+nn36Krl27omfPnpgyZQri4+OxYsUK9O/fHwMGDDBMwERERLWAjb0jOgW/gd93rwUApDyMwe3zx9G0S3/Rz/Hg5gWoVSWz24I69tV5nERU8/w9mVx6lu2o4YNgK1dj/Dvj4d/rXbj4tNWcFxmXi9lro/BSOxdMeNkLLg7mVddUEAQcv5yGjRGJWouCAUCXZk6YPrS+psSDIUo2SCQSeLpYwdPFCj1a1QEAqNUCEp8UIOp/M5ijE/JwNzEXBYVCuc8htZDDyas5nLyaIxOAvXX513J1tETHJkW1kFv729faEiekG8V1vH1uZqH5wIUAin7seJicDx8Paxy7lIYvwh9ALZS8z/y8rDHvdV/UrcMfMIjIPJldQrky2rZti+PHj+PDDz/Eu+++CwcHB0yePBlLly41dmhERERmp03f4bj6yz5kPnkEAPh973oEtO8JC0txX7ZK1092dPWEi6ePXuIkopolLCys3GRyseDgYGxdD4SEhMDFrxfaBn8MtUVJaYZjl9Jw6kY6xvSpi6EvukNuBiUQktMVWL3vIS5FZ2m1O9lZYOor9dC9pbNJlPuQSiWo726N+u7W6NPGBQCgUgm4l5SD69FPkPBUgpjEPMQ+yodSVX6SGSgqj9GkgR06NnFEhyBH+Hpam8TrI/NQXMc76fYJNO3/CaSyoh9ifr+ejpx8FfafTgFQ8n5r7JqLz99pyR8yiMis1ZqE8smTJ8tt79atG06fPm3YYIiIiGohC0srdAuZgkMbFwEAsp+m4MrxcHQY+Npzz1WrVbh345xmuyr1l4nIPBWXYBBbsmH9gk748exT7Pn9sWYmbJ5Cjc1HknD4zyeYMrgeOjV1rJEJSbVawOELT7DpUCLyFNr1H3q94Iy3g+vD2d60vwLKZBL4elqjjrUdnJ2dYWFhAYVSjfuP8rHv8Hn88NMfcPBoAgsrezyNv4qnD85i5YL/w4hXBxk7dDJTpeuIp8aehYd/DwDAjhOPIPztd45ODTIw/50eNfLzg4ioMkx7NEFERERmpUnHvrj08y48fnAHAHDuwFa06D4YNvZOFZ736F4k8rMzNNtBHfvoNU4iqjksLS0rXbJhbD9PvNTeBZsPJ+K36+maY5LSFFi4LRZtAxwwZXA9NKz7jJoKJigxtQBf7IvDjdgcrXYXBwvMGOaDzs0q/pw1ZXILKaKunsD86SWlTSZNmoTNP2+GQqHA2NCjsC5ndjqRrhQnlafN3axJKJdOJisVORjSKg8zx/czUoRERIZV8+/nIiIiohpDIpWi5+hpmm1Ffi7OHdj63PNKl7uwtLKBT5O2FRxNRPR8Hs5y/HNMIyyf4o/G3jZa+y5HZ2Hq6ttYfyAeWXlKI0UojkotYP+pZExdfbtMMrl/exdseLdJjU4mA+XXyV63bh3Cw8Mhl8uhUCgQEhKCiIgIY4dKZiw4OBgr5k2GWqX9mZCXHo9xHbOYTCaiWoUJZSIiIjIonyZt4PdCV8321RP7kJ6cWOE5pRPK3gEtIbPgTVZEpBstfO3x5bRAzBruAye7ks8WtRr48Uwq3vw8EhHnUqGqoIavscQl52PO+mhsPJiotZCdh7MlFk/0w7shDWBvU7M/LytadLF41iiTymQoI14dDHvVA8126v3zCJQcx/jRA4wYFRGR4TGhTERERAbXY8Q7kEiKhiFqlQp/hK9/5rGZTx4jJf6uZjugbQ+9x0dEtYtMKsGADq7YNKcphnd3h6zUt6TMXBW+/jEeM9bcwbW7Wc9+EgNSqgTsOvkY01bfwe2HuVr7hnR2w7rZTdAu0PEZZ9csYhZdLJ1UDgsLM1KkVBtERETgyLfvIPr3tbhxaCEu7ZqGrZvW8YcMIqp1mFAmIiIig3Ot54sW3QdrtqMu/Iqke7fKPfbe9TOltiRMKBOR3thZy/DWoHpYP7sJOgRpJ2RjH+Xjn9/exeIdsXiUVmCkCIG7ibmYvTYK3/2cBGWpWdPernL8Z4o/pg6tD1srmdHi07UtW7Zg7Nix5SaTixUnlceOHatZpJFI14pny+dmpuLhxa0Y0tUTlpYyzo4nolqJCWUiIiIyiq7DJsHSqqRu6cmwNRD+vlw6gNhrZzWP3er7wdaxjkHiI6Laq767NRZN8MPC8X6o726lte/0zQxMWXUbW48mIV+hMlhMCqUa3x9Lwqyvo3A3MU/TLpUAw7u74+uZTdDS195g8RhK8aKLz1twLzg4GNu3b4elpaWBIqPahHW8iYi0MaFMRERERmHv7Ib2L4dqthNjbuDu1VNaxxQW5CMu8pJm27dlZ4PFR0TUsYkj1s4MwpTB3rC1KvnqVKgUEPbrY7y54jZOXEkr98cwXbrzMAcz10ThhxOPoVKXtDfwsMaKdwLw1qB6sJbzqx2RPrCONxFRWRx1EBERkdG0HxAKOycXzfZvu9dCpSxZPT0u8hKUhQrNdpOOfQ0aHxGRpYUUr3bzwKY5TTGggyskkpJ9TzILsXx3HN5fH407f6tlrAsFhWp8eygB762LxoPH+Zp2qRQY07suvpoRiCYN7HR+XSIqwTreRERlMaFMRERERiO3tkXXoZM12+mP43Hzj5KZPfeul5S7sHV0gXsDf4PGR0RUzNneErOG+2D19EC0aKSdxI2MK6prvHJvHNKyCnVyvZux2Zj25R2E/5ECdakJ0H5eNvhyWiDe6O8FuQW/zhHpG+t4ExGVZWHsAIiIiKh2a9F9EC4d2420pAcAgNP7v0XTzv1haW2De6XqJ/s0aQNJ6amBRERG4O9ti/9M8cfvN9Kx6VAiUjJKEsjHLqXh1I10jOlTF0NfdK9SwjevQIUtPyfhwNlUrXYLmQSv9a2LkT3qwkLGz0IiQymu4/08wcHBz631TURkLviTNhERERmVVGaBHiP/T7Odl52BC0d2IuXhXWQ/Tda0B3bobYzwiIjKkEgk6NmqDja+1xTj+nrCyrIkwZunUGPzkSS8s+o2zt3KgEKhwLhx43D48OEKnzMiIgKjJn+Ed764XSaZHORjizUzgjCmtyeTyURERGR0nKFMRERERuf3QlfUD2qN+DtXAQAXj4QhLztTs19mIeeCfERkcqzlUozt54mX2rtg8+FE/HY9XbMvKU2BhdtiYZkXixNHzuKnn37Cjh07MHDgwDLPE/7fg1j07SV4txyFrPSSGc9yCwnG9/fC0BfdIZMykUxERESmgTOUiYiIyOgkEgl6jpqm2VYWFuDar/s1255+TWEptzJGaEREz+XhLMc/xzTC8in+aOxto7Wv0MYXL07ehQZdp2H+omVlZiqv+f44vv7FEt4th2q1t/C1w9pZTTC8uweTyURERGRSOEOZiIiITIKnbxM06dQPt88fL7OvcesXjRAREVHltPC1x5fTAnHsUhq++zkJGTlKAIBUagGfNqOhUgzC+0s2QoAEPfsMwLwN5xGV4gYr+5LnsJFLMWmANwZ1coWUiWQiIiIyQUwoExERkcnoNvwtRF/6DSploVZ7UMc+RoqIiKhyZFIJBnRwRfeWzth54hF+PJ0Clfp/++QOaNzrfSz/KQYbTv0JtdRO69y2AQ6Y+aoP6taRGyFyIiIiInFY8oKIiIhMhpO7N1r3Ga7VVqeuDxxd6hopIiKiqrGzluGtQfWwfnYTdAhy1Npn7+YPtdRWsy2XqfFuiA8WT/RjMpmIiIhMHhPKREREZFI6Bb8BK9uS+78btehoxGiIiKqnvrs1Fk3ww/zXG8KrTtkbRG0K72PzBy3Rv70rJBKWuCAiIiLTx4QyERERmRQbe0cMmPwxbOyd4OrdCJ2HTDB2SERE1dY+0AGvBMUi9tRXyM9KQV5GIq7++E8c/Go0zv7+s7HDIyIiIhKNNZSJiIjI5Pi36YbGrQ8AAGfsEZFZOHz4MBYumIf7kZGI/XM7Jk6ahLN3f4VCoUBISAjCw8MRHBxs7DCJiIiInoszlImIiMgkSSQSJpOJyCxERERg7NixUCqVkMvlCA8Px/p16xAeHg65XK5JKkdERBg7VCIiIqLnYkKZiIiIiIhITyIiIhASEgKFQgELCwvs2LFDMxM5ODiYSWUiIiKqcZhQJiIiIiIi0pOwsDAoFArI5XIsWrQIAwcO1Nr/96RyWFiYkSIlIiIiEoc1lImIiIiIiPRky5YtAIDRo0ejS5cu5R5TnFQOCwvTHE9ERERkqphQJiIiIiIi0hNLS0ts374dSqUS6enpzzwuODiYi/IRERFRjcCSF0REREREZubChQuYPn06mjdvDjs7OzRo0ACjRo1CVFTUc8/97rvvNIti/v3v0aNHBoieiIiIiEwZZygTEREREZmZzz77DKdPn8bIkSPRqlUrPHr0CGvWrEHbtm1x7tw5tGjR4rnPsWjRIvj6+mq1OTs76yliIiIiIqopmFAmIiIiIjIz7733Hnbu3Am5XK5pGz16NFq2bIlly5Zh+/btz32OgQMHon379voMk4iIiIhqIJa8ICIiIiIyM127dtVKJgNAQEAAmjdvjsjISNHPk5WVBZVKpevwiIiIiKgG4wxlIiIiIqJaQBAEPH78GM2bNxd1fO/evZGdnQ25XI6XX34ZK1asQEBAwHPPS05ORkpKilZbTEwMAECpVEKpVFY+eDOgVCqhUqlq7euvDPaVeOwr8dhX4rGvxGNfice+Es/QfVWV6zChTERERERUC+zYsQMJCQlYtGhRhcfZ2tpiwoQJ6N27NxwdHXHp0iWsXLkSXbt2xeXLl+Hj41Ph+WvXrsXChQvL3ZeVlYX09PSqvoQaTaVSITs7GwAgk8mMHI1pY1+Jx74Sj30lHvtKPPaVeOwr8QzdV1lZWZU+hwllIiIiIiIzd/v2bUybNg1dunTB+PHjKzx21KhRGDVqlGZ72LBhePnll9GjRw98+umnWL9+fYXnT506FSNHjtRqi4mJwbBhw+Dg4FBrF/Yrnv3j5OQECwt+DasI+0o89pV47Cvx2Ffisa/EY1+JZ+i+cnBwqPQ5/BckIiIiIjJjjx49wuDBg+Hk5IS9e/dWaaZLt27d0KlTJxw/fvy5x3p4eMDDw6PcfRYWFrX6S6RMJqv1fSAW+0o89pV47Cvx2Ffisa/EY1+JZ8i+qso1uCgfEREREZGZysjIwMCBA5Geno4jR47A29u7ys/l4+ODtLQ0HUZHRERERDURfxLQoYKCAgAli47UVkqlEllZWXBwcOCvTs/BvhKPfSUO+0k89pV47Cvx2FfiGbqvisdnxeO12iA/Px9DhgxBVFQUjh8/jmbNmlXr+e7duwd3d/cqnctxMj8fKoN9JR77Sjz2lXjsK/HYV+Kxr8SrCeNk/gvq0MOHDwEU1ZkjIiIiItPz8OFDtG3b1thh6J1KpcLo0aNx9uxZ/Pjjj+jSpUu5xyUlJSEjIwONGzeGpaUlACAlJaVM4vjQoUO4dOkSZs6cWaV4OE4mIiIiMm2VGSdLBEEQ9BxPrZGeno7ffvsNPj4+sLKyMnY4RlO86Mp///tf+Pv7Gzsck8a+Eo99JQ77STz2lXjsK/HYV+IZuq8KCgrw8OFD9OzZs1YsCjd79mx8+eWXGDJkiNYCe8XGjRsHAJgwYQK2bt2K2NhYNGrUCAAQEBCANm3aoH379nBycsLly5exefNmeHl54cKFC6hbt26l4+E4mZ8PlcG+Eo99JR77Sjz2lXjsK/HYV+LVhHEyZyjrkLOzM4YOHWrsMEyGv78/mjdvbuwwagT2lXjsK3HYT+Kxr8RjX4nHvhLPkH1VG2YmF7t69SoA4MCBAzhw4ECZ/cUJ5fKMHj0aBw8exNGjR5GbmwsvLy+89dZbmD9/fpWSyQDHyaXx80E89pV47Cvx2Ffisa/EY1+Jx74Sz5THyUwoExERERGZmZMnT4o67rvvvsN3332n1bZ48WIsXrxY90ERERERkVmQGjsAIiIiIiIiIiIiIqoZmFAmIiIiIiIiIiIiIlGYUCadc3d3x/z588usDk5lsa/EY1+Jw34Sj30lHvtKPPaVeOwrqm34nhePfSUe+0o89pV47Cvx2Ffisa/Eqwl9JREEQTB2EERERERERERERERk+jhDmYiIiIiIiIiIiIhEYUKZiIiIiIiIiIiIiERhQpmIiIiIiIiIiIiIRGFCmYiIiIiIiIiIiIhEYUKZiIiIiIiIiIiIiERhQplEKygowIcffghvb2/Y2NigU6dOOHbs2HPP27dvH0aPHg0/Pz/Y2toiKCgI77//PtLT0/UftJFUta/+7qWXXoJEIsH06dP1EKVpqG5f7dq1C126dIGdnR2cnZ3RtWtXnDhxQo8RG0d1+un48ePo3bs33Nzc4OzsjI4dO2Lbtm16jth4srOzMX/+fAwYMAAuLi6QSCT47rvvRJ+fnp6OKVOmwN3dHXZ2dujduzcuX76sv4CNqDp99csvv2DSpEkIDAyEra0t/Pz88OabbyIpKUm/QRtJdd9Xpb311luQSCQIDg7WbZAmQhd9dfz4cfTp0wdOTk5wcHBAu3btsGvXLv0ETFRNHCOLxzGyeBwji8dxsngcJ4vHcbJ4HCeLZ07jZCaUSbQJEyZg5cqVGDt2LL788kvIZDIMGjQIp06dqvC8KVOmIDIyEuPGjcPq1asxYMAArFmzBl26dEFeXp6BojesqvZVafv27cPZs2f1GKVpqE5fLViwAGPGjIGPjw9WrlyJxYsXo1WrVkhISDBA5IZV1X766aef0L9/fygUCixYsACffvopbGxs8MYbb2DVqlUGit6wUlNTsWjRIkRGRuKFF16o1LlqtRqDBw/Gzp07MX36dPznP/9BcnIyevXqhejoaD1FbDzV6asPP/wQJ0+exKuvvorVq1cjNDQUu3fvRps2bfDo0SM9RWw81emr0i5evIjvvvsO1tbWOozOtFS3r7Zs2YL+/fvD0tISS5YswfLly9GjRw88fPhQD9ESVR/HyOJxjCwex8jicZwsHsfJ4nGcLB7HyeKZ1ThZIBLh/PnzAgBh+fLlmra8vDyhcePGQpcuXSo899dffy3TtnXrVgGA8M033+g6VKOrTl+VPr5Ro0bCokWLBADCtGnT9BWuUVWnr86ePStIJBJh5cqV+g7T6KrTTy+99JLg7e0t5Ofna9oKCwuFxo0bC61atdJbzMaUn58vJCUlCYIgCBcuXBAACFu2bBF17q5duwQAwp49ezRtycnJgrOzszBmzBh9hGtU1emr3377TVCpVGXaAAgff/yxrkM1uur0VTG1Wi106dJFmDRpktCwYUNh8ODBeojU+KrTV7GxsYKNjY0wc+ZMPUZIpDscI4vHMbJ4HCOLx3Fy5XCcLB7HyeJxnCyeOY2TOUOZRNm7dy9kMhmmTJmiabO2tsbkyZNx9uzZCn8N6dWrV5m2V199FQAQGRmp81iNrTp9Vew///kP1Go15syZo89Qja46ffXFF1/A09MTs2bNgiAIyM7ONkTIRlGdfsrMzESdOnVgZWWlabOwsICbmxtsbGz0GrexWFlZwdPTs0rn7t27F3Xr1sXw4cM1be7u7hg1ahR+/PFHFBQU6CpMk1CdvurRowekUmmZNhcXF7P8bK9OXxXbtm0bbt68iU8//VRHUZmm6vTV+vXroVKpsGjRIgBFtwUKgqDL8Ih0imNk8ThGFo9jZPE4Tq4cjpPF4zhZPI6TxTOncTITyiTKlStXEBgYCEdHR632jh07AgCuXr1aqecrvs3Dzc1NJ/GZkur2VVxcHJYtW4bPPvvMbAcyxarTV7/88gs6dOiA1atXw93dHQ4ODvDy8sKaNWv0GbJRVKefevXqhb/++gtz585FTEwM7t69i3//+9+4ePEiPvjgA32GXSNduXIFbdu2LTMA7NixI3JzcxEVFWWkyGqG7OxsZGdnm+Vne3VlZWXhww8/xEcffVTtAbc5O378OJo0aYJDhw6hfv36cHBwgKurK+bOnQu1Wm3s8IjK4BhZPI6RxeMYWTyOkw2H4+Tq4Tj52ThOFsfUxskWBr8i1UhJSUnw8vIq017clpiYWKnn++yzzyCTyTBixAidxGdKqttX77//Ptq0aYPQ0FC9xGdKqtpXT58+RWpqKk6fPo0TJ05g/vz5aNCgAbZs2YIZM2bA0tISb7/9tl5jN6TqvKfmzp2L2NhYfPrpp1i8eDEAwNbWFuHh4Rg6dKh+Aq7BkpKS0KNHjzLtpfu6ZcuWhg6rxvjiiy+gUCgwevRoY4dichYtWgQbGxu8++67xg7FpEVHR0Mmk2HixIn44IMP8MILL2Dfvn1YvHgxlEolli5dauwQibRwjCwex8jicYwsHsfJhsNxcvVwnPxsHCeLY2rjZCaUSZS8vDytW4GKFRdLr8zCITt37sSmTZvwwQcfICAgQGcxmorq9NWvv/6K8PBwnD9/Xm/xmZKq9lXxrXtPnjxBWFiY5v+UR4wYgZYtW2Lx4sVmNViuznvKysoKgYGBGDFiBIYPHw6VSoWNGzdi3LhxOHbsGDp37qy3uGsiXX7W1Ta///47Fi5ciFGjRqFPnz7GDsekREVF4csvv8QPP/xQ7vuLSmRnZ0OtVmPZsmX48MMPAQAhISFIS0vDl19+iY8++ggODg5GjpKoBMfI4nGMLB7HyOJxnGw4HCdXHcfJz8ZxsnimNk5myQsSxcbGptyaSPn5+Zr9Yvzxxx+YPHkyXn75ZbOtjVPVvlIqlZg5cyZef/11dOjQQa8xmoqq9lVxu6WlpdYMHqlUitGjRyM+Ph5xcXF6iNg4qvPf3/Tp03HgwAGEhYUhNDQUY8eOxfHjx+Hl5YVZs2bpLeaaSlefdbXN7du38eqrr6JFixb49ttvjR2OyZk1axa6du2KkJAQY4di8or/GxszZoxW+5gxY5CXl4crV64YIyyiZ+IYWTyOkcXjGFk8jpMNh+PkquE4uWIcJ4tnauNkJpRJFC8vLyQlJZVpL27z9vZ+7nNcu3YNr7zyClq0aIG9e/fCwsI8J8hXta++//573LlzB2+//Tbu37+v+QOKagrdv38fubm5eovbGKraVy4uLrC2toarqytkMpnWPg8PDwBFt/yZi6r2k0KhwKZNmzB48GCtWmeWlpYYOHAgLl68CIVCoZ+gayhdfNbVNg8fPkT//v3h5OSEQ4cOcfbo35w4cQJHjhzBrFmztD7blUol8vLycP/+fWRmZho7TJNR/N9Y3bp1tdrN8bOdzAPHyOJxjCwex8jicZxsOBwnVx7HyRXjOLlyTG2czIQyidK6dWtERUWV+Y+5+Laz1q1bV3j+3bt3MWDAAHh4eODQoUOwt7fXV6hGV9W+iouLQ2FhIV588UX4+vpq/oCigbSvry+OHj2q19gNrap9JZVK0bp1a6SkpJQZ6BXXSXN3d9d9wEZS1X568uQJlEolVCpVmX2FhYVQq9Xl7qvNWrdujcuXL5dZ1OD8+fOwtbVFYGCgkSIzTU+ePEH//v1RUFCAn3/+udwahrVd8Uyw4cOHa322JyQk4MSJE/D19cXmzZuNHKXpaNeuHQAgISFBq90cP9vJPHCMLB7HyOJxjCwex8mGw3Fy5XCc/HwcJ1eOqY2TmVAmUUaMGKGpKVWsoKAAW7ZsQadOneDj4wOg6APh9u3bWuc+evQI/fv3h1Qqxc8//2x2g5i/q2pfhYaGYv/+/WX+AGDQoEHYv38/OnXqZNgXo2fVeV+NHj0aKpUKW7du1bTl5+djx44daNasmVn9Ql7VfvLw8ICzszP279+v9aUiOzsbBw4cQJMmTWr1rWlJSUm4ffs2CgsLNW0jRozA48ePsW/fPk1bamoq9uzZgyFDhtTaul7l9VVOTg4GDRqEhIQEHDp0yCzrfVbF3/uqT58+5X62u7u7o3379ti/fz+GDBli5KiNo7z3VXG9z02bNmna1Go1tmzZAhcXF81AmshUcIwsHsfI4nGMLB7HyfrBcbJ4HCeLx3GyeDVhnGye91ORznXq1AkjR47Ev/71LyQnJ8Pf3x9bt27F/fv3td7Mb7zxBn777TcIgqBpGzBgAO7du4cPPvgAp06dwqlTpzT76tati5deesmgr0XfqtpXTZo0QZMmTcp9Tl9fXwwbNswQ4RtUdd5Xb7/9Nr799ltMmzYNUVFRaNCgAbZt24YHDx7gwIEDxng5elPVfpLJZJgzZw4++eQTdO7cGW+88QZUKhU2bdqE+Ph4bN++3VgvSe/WrFmD9PR0za+1Bw4cQHx8PABgxowZcHJywr/+9S9s3boVsbGxaNSoEYCigXLnzp0xceJE3Lp1C25ubli7di1UKhUWLlxorJejV1Xtq7Fjx+LPP//EpEmTEBkZicjISM1z2tvbm+VnVlX6qkGDBmjQoEGZ55o9ezbq1q1rlv0EVP19NXToUPTt2xdLly5FamoqXnjhBfz3v//FqVOnsGHDhlr7ZZVMF8fI4nGMLB7HyOJxnFx5HCeLx3GyeBwni2c242SBSKS8vDxhzpw5gqenp2BlZSV06NBBOHLkiNYxPXv2FP7+tgLwzL+ePXsa8BUYTlX7qjwAhGnTpukrVKOrTl89fvxYGD9+vODi4iJYWVkJnTp1KnOuuahOP+3YsUPo2LGj4OzsLNjY2AidOnUS9u7da6jQjaJhw4bP/NyJjY0VBEEQxo8fr7VdLC0tTZg8ebLg6uoq2NraCj179hQuXLhg+BdhIFXtq4rOa9iwoVFei75V531V3nMNHjxY/0EbSXX6KisrS5g1a5bg6ekpyOVyoWXLlsL27dsN/yKIROIYWTyOkcXjGFk8jpMrh+Nk8ThOFo/jZPHMZZwsEYRSP2cSERERERERERERET0DaygTERERERERERERkShMKBMRERERERERERGRKEwoExEREREREREREZEoTCgTERERERERERERkShMKBMRERERERERERGRKEwoExEREREREREREZEoTCgTERERERERERERkShMKBMRERERERERERGRKEwoExEREREREREREZEoTCgTERERERERERERkShMKBMRERERERERERGRKEwoExEREREREREREZEoTCgTEYkgkUhE/Z08edLYoRrdmTNnsGDBAqSnpxs7FC0PHz4U/e947949Y4dLREREZPI4RhaPY2QiMicWxg6AiKgm2LZtm9b2999/j2PHjpVpb9q0qSHDMklnzpzBwoULMWHCBDg7Oxs7HA0rKyutf6+8vDxMmTIFvXv3xqRJkzTtEokEfn5+xgiRiIiIqEbhGFk8jpGJyJwwoUxEJMK4ceO0ts+dO4djx46VaTdHOTk5sLOzM3YY1Y7Dw8ND69/r4sWLAIDBgwfXin9HIiIiIl3jGJljZCKqnVjygohIDxISEjBp0iTUrVsXVlZWaN68OTZv3qx1zIIFCyCRSBAVFYVx48bByckJ7u7umDt3LgRBwMOHDzF06FA4OjrC09MTK1asKPf827dvY9SoUXB0dISrqytmzZqF/Pz8asV069YtvPbaa6hTpw66desGAHjw4AGmTp2KoKAg2NjYwNXVFSNHjsT9+/e1zv/HP/4BAPD19dXcHnf//n1MmDABjRo1KhNX8TXFxiH2tTzP9evXAQAtW7as1HlEREREVDUcI3OMTETmgTOUiYh07PHjx+jcuTMkEgmmT58Od3d3HD58GJMnT0ZmZiZmz56tdfzo0aPRtGlTLFu2DAcPHsTixYvh4uKCDRs2oE+fPvjss8+wY8cOzJkzBx06dECPHj20zh81ahQaNWqEpUuX4ty5c1i9ejWePn2K77//vsoxjRw5EgEBAViyZAkEQQAAXLhwAWfOnEFoaCjq16+P+/fvY926dejVqxdu3boFW1tbDB8+HFFRUfjhhx+watUquLm5AQDc3d2r1JflxVHZ1/IsxYPlVq1aVSk2IiIiIhKPY2SOkYnIjAhERFRp06ZNE571ETp58mTBy8tLSE1N1WoPDQ0VnJychNzcXEEQBGH+/PkCAGHKlCmaY5RKpVC/fn1BIpEIy5Yt07Q/ffpUsLGxEcaPH69pKz7/lVde0brO1KlTBQDCtWvXqhzTmDFjyryu4mNKO3v2rABA+P777zVty5cvFwAIsbGxWseOHz9eaNiwYZnnKL5meW3lxSH2tTxP7969BXd3d1HHEhEREdHzcYxchGNkIjJ3LHlBRKRDgiAgPDwcQ4YMgSAISE1N1fy9/PLLyMjIwOXLl7XOefPNNzWPZTIZ2rdvD0EQMHnyZE27s7MzgoKCyl1Zedq0aVrbM2bMAAAcOnSoyjG98847Za5jY2OjeVxYWIgnT57A398fzs7OZc7Xlb/HUZXX8iw3btzgzAsiIiIiA+AYWbc4RiYiY2PJCyIiHUpJSUF6ejo2btyIjRs3lntMcnKy1naDBg20tp2cnGBtba25Fa50+5MnT8o8X0BAgNZ248aNIZVKNXXbqhKTr69vmWPy8vKwdOlSbNmyBQkJCZrb6wAgIyOj3Oetrr/HUZXXUp6kpCSkpqayNhwRERGRAXCMrFscIxORsTGhTESkQ2q1GkDRitfjx48v95i//+Ivk8nKHFNeGwCtAeqz/H3xjqrEVHqmRbEZM2Zgy5YtmD17Nrp06QInJydIJBKEhoZqrlGZuIqpVKpnnvP3OKryWsrD2nBEREREhsMxsvi4inGMTESmjAllIiIdcnd3h4ODA1QqFfr162eQa0ZHR2vNUoiJiYFardasFq2rmPbu3Yvx48drraSdn5+P9PR0reOeNSiuU6dOmWOBopWxxdLVa7lx4wYADpaJiIiIDIFjZI6Rici8sIYyEZEOyWQyhISEIDw8HDdv3iyzPyUlRefX/Prrr7W2v/rqKwDAwIEDdRqTTCYrM/vjq6++KjN7ws7ODgDKDIwbN26MjIwMzcwHoOi2uv3794u6fnEMungt169fh0wmQ7NmzURfm4iIiIiqhmNkjpGJyLxwhjIRkY4tW7YMv/76Kzp16oS33noLzZo1Q1paGi5fvozjx48jLS1Np9eLjY3FK6+8ggEDBuDs2bPYvn07XnvtNbzwwgs6jSk4OBjbtm2Dk5MTmjVrhrNnz+L48eNwdXXVOq5du3YAgI8//hihoaGwtLTEkCFDEBoaig8//BCvvvoqZs6cidzcXKxbtw6BgYGVWrBEF6/l+vXr8Pf3L/e2RSIiIiLSPY6ROUYmIvPBhDIRkY7VrVsXf/75JxYtWoR9+/Zh7dq1cHV1RfPmzfHZZ5/p/Hq7du3CvHnz8M9//hMWFhaYPn06li9frvOYvvzyS8hkMuzYsQP5+fl48cUXcfz4cbz88stax3Xo0AH//ve/sX79ehw5cgRqtRqxsbFo1KgR9u/fj/feew8ffPABfH19sXTpUkRHR1dqsFzd16JUKhEZGYmhQ4eKviYRERERVQ/HyBwjE5H5kAhiqtcTEZHJWbBgARYuXIiUlJQyq10TEREREdVGHCMTEekfaygTERERERERERERkShMKBMRERERERERERGRKEwoExEREREREREREZEorKFMRERERERERERERKJwhjIRERERERERERERicKEMhERERERERERERGJwoQyEREREREREREREYnChDIRERERERERERERicKEMhERERERERERERGJwoQyEREREREREREREYnChDIRERERERERERERicKEMhERERERERERERGJwoQyEREREREREREREYnChDIRERERERERERERicKEMhERERERERERERGJwoQyEREREREREREREYny//D05aNkETclAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "flagged_tau = (undefined_autocorr_flag > 0) | (tau_interval_unstable_flag > 0)\n", "flagged_neff = low_effective_sample_flag > 0\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n", "\n", "axes[0].plot(temperatures, tau_int, color=PALETTE['tau'], lw=2)\n", "axes[0].fill_between(temperatures, tau_int_ci_low, tau_int_ci_high, color=PALETTE['tau'], alpha=0.2)\n", "if np.any(flagged_tau):\n", " axes[0].scatter(\n", " temperatures[flagged_tau],\n", " tau_int[flagged_tau],\n", " color='black',\n", " marker='x',\n", " s=45,\n", " label='flagged point',\n", " )\n", "axes[0].set_xlabel('Temperature $T$')\n", "axes[0].set_ylabel(r'Integrated autocorrelation time $\\tau_{\\mathrm{int}}$')\n", "axes[0].set_title('Equilibrium memory')\n", "axes[0].grid(alpha=0.25)\n", "if np.any(flagged_tau):\n", " axes[0].legend(fontsize=9)\n", "\n", "axes[1].plot(temperatures, avg_m_n_eff, color=PALETTE['mag'], lw=2)\n", "if np.any(flagged_neff):\n", " axes[1].scatter(\n", " temperatures[flagged_neff],\n", " avg_m_n_eff[flagged_neff],\n", " color='black',\n", " marker='x',\n", " s=45,\n", " label=r'low $N_{\\mathrm{eff}}$',\n", " )\n", "axes[1].set_xlabel('Temperature $T$')\n", "axes[1].set_ylabel(r'Effective sample size $N_{\\mathrm{eff}}$')\n", "axes[1].set_title('Independent information per temperature')\n", "axes[1].grid(alpha=0.25)\n", "if np.any(flagged_neff):\n", " axes[1].legend(fontsize=9)\n", "\n", "fig.suptitle(f'Critical slowing down for $q = {Q_DEFAULT}$ clock model data', y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "54852cf6", "metadata": {}, "source": [ "## Autocorrelation Function at Three Temperatures\n", "\n", "The autocorrelation function $\\rho_M(\\tau)$ reveals how the Markov chain decorrelates its magnetization signal at different temperatures. In the locked phase the system sits in a deep minimum and the decorrelation is modest (relatively few active modes). Near the intermediate crossover, decorrelation slows as the system fluctuates between orientational domains. In the disordered phase the chain is relatively free-moving and $\\rho_M$ decays quickly [[3]](#Bibliography) [[4]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 9, "id": "e23de26f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "convergence_equilibrate: detected quasi-steady stuck state before max_steps=9000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=9000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=9000; stopping early without convergence.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "autocorr_temperatures = [0.3, 0.7, 1.2]\n", "autocorr_labels = ['$T = 0.3$ (locked)', '$T = 0.7$ (intermediate)', '$T = 1.2$ (disordered)']\n", "autocorr_colors = ['#4878CF', '#D65F5F', '#6ACC65']\n", "\n", "fig, ax = plt.subplots(figsize=(7.8, 4.8))\n", "\n", "for idx, (temp, label, color) in enumerate(zip(autocorr_temperatures, autocorr_labels, autocorr_colors)):\n", " sim_random = ClockSimulation(\n", " size=40,\n", " temp=float(temp),\n", " q=Q_DEFAULT,\n", " update='checkerboard',\n", " init_state='random',\n", " seed=6_000 + idx,\n", " )\n", " sim_ordered = ClockSimulation(\n", " size=40,\n", " temp=float(temp),\n", " q=Q_DEFAULT,\n", " update='checkerboard',\n", " init_state='ordered',\n", " seed=6_000 + idx,\n", " )\n", " convergence_equilibrate(\n", " sim_random,\n", " sim_ordered,\n", " chunk_size=120,\n", " max_steps=9_000,\n", " )\n", " mags, _ = sim_random.run(n_steps=1_600)\n", " mags_arr = np.asarray(mags, dtype=float)\n", " try:\n", " corr, tau_here = calculate_autocorr(time_series=mags_arr, max_lag=160)\n", " except ZeroVarianceAutocorrelationError:\n", " corr = np.array([np.nan])\n", " tau_here = float('nan')\n", " lags = np.arange(corr.size)\n", " ax.plot(lags, corr, lw=2, color=color, label=f'{label} ($\\\\tau_{{int}} \\\\approx {tau_here:.1f}$)')\n", "\n", "ax.axhline(0.0, color='0.4', ls='--', lw=1.0)\n", "ax.set_xlabel(r'Lag $\\tau$')\n", "ax.set_ylabel(r'Autocorrelation $\\rho_M(\\tau)$')\n", "ax.set_title(rf'Checkerboard-Metropolis autocorrelation of $|M|$ ($q = {Q_DEFAULT}$ clock model)')\n", "ax.set_ylim(-0.05, 1.05)\n", "ax.grid(alpha=0.25)\n", "ax.legend(fontsize=9)\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4e881d02", "metadata": {}, "source": [ "## Synthesis\n", "\n", "The full temperature sweep reveals the three-regime structure of the $q = 6$ clock model. Below the lower crossover, the system is locked into a single clock direction with high magnetization and low entropy. In the intermediate quasi-ordered phase, correlations decay algebraically and the magnetization softens without vanishing. Above the upper crossover, the system is fully disordered. The susceptibility, specific heat, and autocorrelation time all reflect these two crossover regions, although finite-size rounding may blur the double-peak structure into a single broad feature on small lattices. Comparing these curves with the XY Temperature Sweep notebook illustrates how discrete symmetry breaking modifies the BKT crossover and introduces the lower locking transition that has no analog in the continuous-symmetry case." ] }, { "cell_type": "markdown", "id": "c983ddf5", "metadata": {}, "source": [ "## Bibliography\n", "\n", "[[1]](#Bibliography) C. M. Lapilli, P. Pfeifer, and C. Wexler, \"Universality away from critical points in two-dimensional phase transitions,\" *Physical Review Letters* 96, 140603 (2006). [arXiv:cond-mat/0603308](https://arxiv.org/abs/cond-mat/0603308)\n", "\n", "[[2]](#Bibliography) S. K. Baek and P. Minnhagen, \"Non-Kosterlitz-Thouless transitions for the q-state clock models,\" *Physical Review E* 82, 031102 (2010). [arXiv:1005.3maximum](https://arxiv.org/abs/1005.3maximum) [APS](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.82.031102)\n", "\n", "[[3]](#Bibliography) A. D. Sokal, \"Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms,\" lecture notes (1989), reprinted in *Functional Integration: Basics and Applications* (1997). [Springer Link](https://link.springer.com/chapter/10.1007/978-1-4899-0319-8_6)\n", "\n", "[[4]](#Bibliography) M. E. J. Newman and G. T. Barkema, *Monte Carlo Methods in Statistical Physics*, Oxford University Press (1999). [Lecture notes summary](https://arxiv.org/abs/0905.1629)" ] } ], "metadata": { "kernelspec": { "display_name": ".venv (3.12.12)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }