From 4d409f83e4a1433a650c08368db29ad52f9cc629 Mon Sep 17 00:00:00 2001 From: pulipakaa24 Date: Fri, 1 May 2026 12:28:17 -0500 Subject: [PATCH] post-paper --- ...l_Engineering_Sp26_Team3_Final_Report.docx | Bin 0 -> 1225405 bytes ...al_Engineering_Sp26_Team3_Final_Report.pdf | Bin 0 -> 672749 bytes Final Project/overall_analysis.ipynb | 616 +++++++++++++++--- Final Project/riemannian_discriminability.png | Bin 0 -> 59274 bytes .../riemannian_drift_offline_to_online.png | Bin 0 -> 75692 bytes .../within_session_mi_trajectory.png | Bin 175793 -> 175770 bytes 6 files changed, 517 insertions(+), 99 deletions(-) create mode 100644 Final Project/Neural_Engineering_Sp26_Team3_Final_Report.docx create mode 100644 Final Project/Neural_Engineering_Sp26_Team3_Final_Report.pdf create mode 100644 Final Project/riemannian_discriminability.png create mode 100644 Final Project/riemannian_drift_offline_to_online.png diff --git a/Final Project/Neural_Engineering_Sp26_Team3_Final_Report.docx b/Final 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- "text/plain": [ - "
      " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Saved: avg_within_session_mi_trajectory_by_pair.png\n" - ] - } - ], - "source": [ - "# Creating an aggregated view of trajectories by Calibration Pair\n", - "# Averages all subject trajectories under each condition/pair, padding with NaNs for uneven lengths\n", - "import warnings\n", - "\n", - "fig, axes = plt.subplots(1, 2, figsize=(13, 4.5), sharey=True)\n", - "fig.suptitle(f'Cross-Subject Average MI Trajectory split by Calibration Type (window = {WINDOW})',\n", - " fontsize=13, fontweight='bold', y=1.02)\n", - "\n", - "traj_groups = {}\n", - "for r in lr_results:\n", - " key = (r['pair'], r['cond'])\n", - " if key not in traj_groups:\n", - " traj_groups[key] = []\n", - " traj_groups[key].append(r['traj'])\n", - "\n", - "for i, (pair_name, sub_label) in enumerate(PAIRS_TO_PLOT):\n", - " ax = axes[i]\n", - " for cond in ['FES', 'NOFES']:\n", - " key = (pair_name, cond)\n", - " if key in traj_groups:\n", - " trajs = traj_groups[key]\n", - " max_len = max(len(t) for t in trajs)\n", - " \n", - " # Pad uneven trajectories with NaNs to average them step-by-step\n", - " padded = np.full((len(trajs), max_len), np.nan)\n", - " for j, t in enumerate(trajs):\n", - " padded[j, :len(t)] = t\n", - " \n", - " with warnings.catch_warnings():\n", - " warnings.simplefilter(\"ignore\", category=RuntimeWarning)\n", - " mean_traj = np.nanmean(padded, axis=0)\n", - " # Compute standard error of the mean for the shaded variance area\n", - " n_present = np.sum(~np.isnan(padded), axis=0)\n", - " sem_traj = np.nanstd(padded, axis=0, ddof=1) / np.sqrt(n_present)\n", - " \n", - " x_vals = np.arange(max_len)\n", - " ax.plot(x_vals, mean_traj, color=cond_color[cond], label=f'ONLINE_{cond} (avg)', lw=2)\n", - " \n", - " # Add a shaded semi-transparent region to show confidence interval / Variance\n", - " ax.fill_between(x_vals, mean_traj - sem_traj, mean_traj + sem_traj, \n", - " color=cond_color[cond], alpha=0.15, edgecolor='none')\n", - " \n", - " ax.axhline(0.5, color='gray', linestyle='--', lw=0.8, alpha=0.6)\n", - " ax.set_title(sub_label, fontweight='bold')\n", - " ax.set_xlabel(f'Sliding window start (trial index)')\n", - " ax.grid(axis='y', alpha=0.3)\n", - " ax.spines[['top','right']].set_visible(False)\n", - " \n", - "axes[0].set_ylabel('Average MI Accuracy within window')\n", - "axes[0].legend(loc='lower left')\n", - "\n", - "plt.tight_layout()\n", - "plt.savefig('avg_within_session_mi_trajectory_by_pair.png', dpi=150, bbox_inches='tight')\n", - "plt.show()\n", - "print('Saved: avg_within_session_mi_trajectory_by_pair.png')" - ] - }, - { - "cell_type": "code", - "execution_count": 44, + "execution_count": 16, "id": "ddedb148", "metadata": {}, "outputs": [ @@ -1809,7 +1727,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 17, "id": "cf55268e", "metadata": { "execution": { @@ -1909,6 +1827,506 @@ "print('\\n* = 95% bootstrap CI excludes zero (suggestive at this n).')\n", "print('Sign column: number of (subject × pair) comparisons where FES > NOFES.')" ] + }, + { + "cell_type": "markdown", + "id": "ee6e054e", + "metadata": {}, + "source": [ + "## Riemannian Generic Recentering & Discriminability\n", + "\n", + "To investigate whether discriminability changes resulting from FES feedback are hidden by pure accuracy levels, we replicate the robust transfer learning baseline (Riemannian Generic recentering, e.g., Zanini et al., 2018). \n", + "\n", + "Here we calculated a parameter-independent discriminability metric mathematically isolated from the fixed CSP projections. For each session, covariances are calculated and trace-normalized. We define the global reference point $C_{ref}$ as the Riemannian mean of the resting state trials and calculate discriminability as the native distance between class centers: $\\delta_R(C_{MI}, C_{REST})$ upon the Riemannian manifold of SPD matrices.\n", + "\n", + "By projecting each session's testing data to the identity $C_{ref}^{-1/2} X$, the identical offline decoder is evaluated on harmonized session distributions." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "4cb58a3b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "<>:157: SyntaxWarning: invalid escape sequence '\\d'\n", + "<>:157: SyntaxWarning: invalid escape sequence '\\d'\n", + "/var/folders/98/qwcfyxcd0c12f9zp2wjlf1x80000gn/T/ipykernel_41885/1640400890.py:157: SyntaxWarning: invalid escape sequence '\\d'\n", + " ax.set_ylabel('Riemannian distance (MI vs REST)\\n$\\delta_R(C_{MI}, C_{REST})$')\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.9375691313508494e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.669963803608868e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.645524816095128e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.663373071280961e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.6914791949032847e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.6459381005574144e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.574740959007683e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.6370933350269555e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.5834058892971734e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.619226858195733e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.802433522130159e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.223125920536493e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.7162919724570517e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.9009604106934567e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.750509135686626e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.913175562960757e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.7225637711028584e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.0329918184869934e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.8006281048873087e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.0723573088052246e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.7691939412319846e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.007728608121999e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.422868575242497e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 3.0645254120286126e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.8596526698824483e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.2336790648652972e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.8526260428090153e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.2948400779817427e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.850686253077868e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.826465184871438e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.8727151431041065e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.793714914157437e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.3041236094301544e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.7244569473274707e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.2527220293745332e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.714964358671654e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.275182870324487e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.455653261686123e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.308158695654615e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.796099171627302e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.3019580157253367e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.711078152814985e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.3069898990797965e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.646265488710886e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.4338975954189277e-13\n", + " return f(*arrays, *other_args, **kwargs)\n", + "/Users/adipu/ECE374N/Final Project/venv/lib/python3.13/site-packages/scipy/_lib/_util.py:1181: RuntimeWarning: logm result may be inaccurate, approximate err = 2.5362700984456297e-13\n", + " return f(*arrays, *other_args, **kwargs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Riemannian Alignment & Discriminability Metrics ===\n", + "\n", + "Metric FES NOFES paired Δ 95% CI (boot)\n", + "-----------------------------------------------------------------------------------------------------\n", + "Riemannian MI–REST Distance 1.702 ± 0.588 1.687 ± 0.422 +0.016 [ -0.395, +0.371] \n", + "Aligned CSPLDA test acc 0.690 ± 0.147 0.705 ± 0.197 -0.015 [ -0.101, +0.070] \n" + ] + }, + { + "data": { + "image/png": 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IvE8UUYTQPco8aotD7u+8806D6yEomz17doN8y1ChxiVqXhqeeuqpgDWNkQaAuqv++WyRMj92NHL/gh3Wvfvuu33OQw3kQLWAgwUFOBxvHkW+6aabGtT8dblceuj+/PPPlwULFkis+T8+0muMfE2MUt1yyy06WtjWtPXnhffA+PHjNV/UgLxSc/5/U1AP9pNPPtEUCED+MwJcHM3AjzpzoG044YQTGgQ0P/30k895WKfG8tMTkfn9hs86at4annnmGQ2IQ4XrPvfcc/V/Y26AOY3AmI/REsLdtyI33JziZ647jhrJ/vdHoeEIMFGYsCPGKOXZZ59dv5PG4biBAwfqRAvAiBAmeyHwai7ksiHfEEEFlJSUaJMHjJhidBiPi9xjjAggpcA8OScajMleBkzUwyQM7GwxyofmEtGASR7IvTVGaPDDASN0f/vb30K6PYrGI3AwUhswSo4vOhTxxyFTBBYY6TEuN163WMLkHrxGRm44RrbRYAUTb/BFjAlTGAVqa4ds29rzQrpNsFbIgKMH//nPf3y6wDUFE9ref/99nbiJ962RO4z7N+f6GpPMjIAXuZvGBC+sBw5t4z3aq1cvfY9iBBkTAtEkg2phgpzRcAdpN9imOA/vOzQjCfe9hpFTDCTgdccPYXMqD+ZitFTLYv99K94b+OwY6SFopIL3hQHP8y9/+YtOZvXHyW/NxwCYqBlQKQDdgzByZIxSYAeGxV8keY0YzUS3n4cffrh+R4+RC//KBmCexBcNmMSD4NuYyIQgwsid9M/jiwR27jfffLPPCDa6OyFoCCUwwZcJghgcxi4oKNDzcPq///0v4PWjvZ2CwUx/BPfG64YOc0ZXQVTw+O9//xtwMla8a0vPyzhsHMjYsWPl1Vdfrf/RGi78oFq0aFHAyzBSaU6zwI9Z5AafeOKJ9aOWSBdBHqc5l5N84ccsAlNjYhzSHfD+MkZFkZJjTpNoDHKHMQEWXTf9IdgMp9NbpPCDEe+/hQsX1r8XzJ018aPeHAADqgthf2zuWocBEf+JuxQ6pkAQNRN+kWNkEYEaShohDxLBLkaGcLgKQQICuUDtQ8MJDjGZBjttjMBi9BejF3gcjMJitjZGjTAaG+zLuLmQTztnzhz9osFkk1jmIJ522mk+h/gQXKAVaKgOOeQQLbmF2+ALE4EzAl0EIsjrwyStu+66S0eN8KXREhDsIOjB+uA9gdFovE9Qpu2JJ56QtqqtPS+8D/CZwfsArz0m8SEwxghgc4Jf/FhD69ojjzxSWxgjBxOfRzwGPp+4fwS1aJFthkAF52M7IW0HaVRIH8E2ROoEPgPRTmNq61AmD2lfaK+N/R0+z9iOOAL37rvvhjW4gNcf+9GrrrpKj5Yh/QqvAUZVse+M9hG0pqD1M6qFINAN5Uc5nrt/uUyO/kYmCcWAI7wPIiIiIooh/Lh68skn64/CYXDFnBdN4WEKBBEREVEcQg1g5NzjCBcmOxswks3gNzIcASYiIiKKQ0g1mjt3boMc4u+//57VHyLEHGAiIiKiOIY8YZTbw9wTzM1g6bPIcQSYiIiIiBIKR4CJiIiIKKEwACYiIiKihMIAmOIe2j6iHi4W1NxEYwgz4zJjMbpUtQQ8lvmxMWGBmoZuYubtRg0hzw9dwbp27ar5fy3xHsN9t9ZnKRrQTMC8/ueee26D66ChC2r5ogsbavCar280IzCfh/cqNV9b3Zbx+lnA9x++B431MrdFpvAwAKa4hjLV11xzjU/pF3z4iVorgGoJ6GJ32GGHadcrtMlFpyiKDjR2ufvuu7WbYmVlJTdrgmmrAbkB339XXnll/d+YFMd2Ds3DOsAU1/7973/Xt4tEzUNzMEzUXv3zn/8Uj8dT/zdmf48ePVo7X6H7HwWGDoAnnXRS/d9jxozxuRxtiM0lpTCyjpE+dHE0bg/m+8jLy+PmjkBb3ZYTJ07UDpgGHC2IFwh60SG0urpaOxriexKt6yk8DIAprv3973/3Gbnp2LFjq64PUUvYvn27z98ff/yxT6toCgw/DhAMhLpd0a78jTfeaHC9xu6DwtNWtyXaXccrfA8iPcrYto8++igD4GZgCgTFraVLl8p3331X//dZZ50VlUNeOJz89NNP6+gQftWjxzwON6PnfDDvvPOOHHTQQZKZmamHoHB9HKYOFUaerr76ai1gjsdDH/qePXvqTuuLL74IeJvbb7/dZ91ffPFF+fXXX+WMM86Q/Px8HREfNmyY3H///VJTUxP0sbGeZ555pvTv31/S09N1GTx4sPaVx3qFmv/2+eefy1FHHSW5ublag3LPPfeU559/vtHX78QTT9SWnXjMvfbaS7d7qIfrioqK5J577tHtjvuw2Ww6IoNtj8d1Op0hpTAgZ27GjBkyaNAgsdvtOgqF99KmTZsa5HJPmjTJ5/7QeSmSlIgNGzbI9ddfL/vss4++b/AcMMqI7fvwww9rPqoZ7t+ci2oYOnSoz/sgHJ999pk+Xzx/vH/xvunVq5cceeSR9W1VQ/XYY4/J1KlT9bXs0aOHvg+wTbt166avy+OPPy4OhyPgbfH5mjJligwYMEDfD/gMIL8Z76Np06bpuvi/j8O9TbAUFuP19c+ffvPNNwMeDg/lMDna0N544426H8FnAuuGzyUCk7fffjvg+xyvnfm+8Rlfs2aNnH322dK9e3cd4Q/1KFegPPpXXnlF9t9/f32dMap9+OGHN3gvmbeHOa+8tLRU36vG5wTb2Gznzp1y5513ygEHHFD/eUQghsfD+QUFBQHXM1bb0rxe2E9MmDBBP1u4LdYLOd7mfZyxvfw/n8HWL5QcYHx+H3nkEd1vGI+Nz/nee+8tf/3rX4PmDQd67dDxDc8B3w94r2O7fvDBB0Gft/n7EJ8T7G8pTF6iOHXbbbdhr6dLcnKyt6ysLOD1jOsYy/r164Nenp+f7z3ssMMa3AZLSkqK97vvvmtw/3fccUfA6yclJXmvvfZan/MmTpzY4PaPPPKI12q1BrwPY7n44ou9Ho8n6PPHMmXKFG9qamrA2x9xxBHempoan9vjb9ymscfFc37++ecbrDOeh/l6Z511VtD7ePDBBxvc/tNPP/Xa7faA1z/ttNO8PXv29DnP35w5c7xdunRpdN33339/b2FhYYPbma9z0EEHefv06RPw9r169fLu2rVLb4f3TGOPZSznnHOON1Qvv/yyNy0trdH76927t3fx4sX1t8H9N7UOL7zwQkiPj8/L8ccf3+h9Yds09rr7f5YyMjKaXL9Ro0Z5i4uLfW732muv6eelqdvu3Lkzotv4v/7G6xXK62veFo1tI3jzzTeb3BbY9lVVVT63w2tnvs5xxx3nzcrK8jnv6quvDun19X9fn3/++QHXA9vQ/z3jvz1Gjx7tHTFiRIPzzJ/njh07Nvp8cTmu5y9W2xLef/99b25ubkifl2D7gWDr19RnAZ9bfH4buz98/rEfaOq1C7Z/xWs3e/bsgK9/aWmpfi8a17399tuDvFMoGAbAFLfMOyB8qQYTTgBsLD169PAefvjh3pycHJ/zDz30UJ/bfvXVVw2+hPv3768BZ+fOnRvcr38A/PrrrzcIOHGdo48+usHtEWg3FgBjQQCM2++zzz4NLrvzzjt9bn/RRRc1+II68sgjvYcccoiuh3G+xWLxfvnll0G3vbFkZ2fr9vHf6eP8ioqK+tsWFRU1eG6dOnXS7Y1tF+j1MFu5cqU3MzPT5/K9997be+yxx3oHDBjgcz6ei5l/AGQsw4cP1+fk/0Pkrrvu0tsVFBR4TzrpJO+ECRMafCHifGN5/PHHvaHA9sR2Nd/XwIED9X2DH2Hm8/Py8vTxAfePx/Hffni/GOuA5xgKbC//7YDtd8wxx+jzTE9Pb1YAjNd733331ddz8uTJ3oMPPrjB5+jKK6/0ud2gQYN83m/48YKgZty4cd7u3bsHDGabc5tgAXAor++ll15afz/BgiKYN2+ez/sIQQjW7U9/+pPuV8y3nTZtWqMBsLHgM4XXGJ/rv/zlLyG9voECum7duul7zLx9sODH6KpVq+pvG+wHAYJJfMbxPthvv/30uitWrND3ivl6+AGLfYn/vgDXw/XNYrUtMVhhs9l8roP3J26P9z4+b+YAGK8vXmf/9TV/vs3vgcY+C3g/4XNrvhw/2LHtBw8e7HN+oP1roNcOn3l8pvzvF88jmJEjR9ZfD59DCg8DYIpb5iDojDPOCHq9cANg7Byrq6v1MnwpmINB/N88kopgwf+Xusvlqg/0EJgHC4DdbrfPSCe+nMzrVl5eroGdeWeM+wwWAOPyn376qf7yf/7znw0CXIfDoZf99ttvPoE7vtQqKyuDBpnGl12wnX+/fv28mzZt0ssQ7CKgNF+OHwqG+++/3+cyjCwZzwvbJNAop5l51BrP4ZNPPqm/DKPkGC033/bjjz9uNACeOXNm/eUvvviiz2X+XxrBAqhwYXua7wdBjTHCj5FZ/+17/fXXN7r9/d/TTfniiy8afAnjx5gZ1sN/dKqpx/3555/r3//+94X3iHE7BPlm5kDF+NFhtnbtWg3+8ZmI5DZNvX6hvr6NBW0HHHCAz2fyxx9/rL/M6XRq8GZ+/5oDwkAB8IwZM/RzYTD2TU3xD6LMn3GMliKYMl9++eWXNxoAI3jbvXt3g/XAERvz9U455ZT6fSROTz/9dJ/Lcf2W2JY4umO+70mTJnm3b9/uc/+LFi3yLly4MOT1CfWzgM+r+bLx48friCzgc37dddf5XO6/f/V/7fCD0jhqsmPHjgZB8O+//x5wHfG9aFwH+3MKDwNgikv4UmtsRMks3AAYwWGwX9FYtm7dqufji95/5GPjxo0+t8Vh2mABMHa+5sv69u3rM9qAxX+0wHy4yz8AvvDCCxs8d//bz58/X89/4IEHfM4fM2ZMg8c2HzrEl4sxChlo5//000/7PC5eD/Pl5uAKX6Tmy/yDrC1btjR4TQwIBDDCaB7R8V/vAw88MOgXu3+Agx8g+CI1IBA3X47tF+0AGF9g5vvAczAHafD111/7XAc/KKIZAF9xxRU+tzePbDWmqcdFgHHrrbfqKBtGrPxH4MyLkV4CxmgcliFDhngfffRR72effaZf7P6pP5HcJtYBMD4j5h+WGPXzf3/utddePrfHZzFYAIz3X6AfFKHwD6K+/fZbn8vxt/lybMNgATB+IAV6j+Hz6J+i4X89/DA2X47rmwP6WGxL/9tiFHnz5s0hbbdg6xPOZ2HYsGE+l/kflcEggXm7+e9f/V878498QGqM+fJAqXmBPufmI3HUNFaBoLjk3+wCEwOiISsrq8FseqMEksGYxFNYWOhTJxS3xeQhsxEjRgR9rPXr1/v8jQkRTRVT979NU4+FWe+rVq2q/3vjxo0ybty4BvezaNEiXYLB9wLWzSgD5W/fffcNaZsZ6+C/jmaY7IOJLsXFxQEnvmEyjqGiokInwTR3m2EiD0pdhbLe0YKJNWYoYeZfQgkTdEJ9Ds2xbt06n78xuSZSK1as0NJQ+FyEAq8jXmfAZC9M9ML7zJgQan5NMOHoiiuu0Il0hubcJtbwGTFPyMIErEjen+PHj9eJb9Hgv3/w/9v/c+k/KSvQBDV8Hs0TNbEP9L8eJvOaGxTh+rhdsH1JNLal/20xSRKTMluK/37c//OMSWxYp59//jnq+9fGvhfxGuCxKTSsAkFxyb/ZhTkoikSgMmrR+gKKBgR88fjYmPXdFrdZa6y3/4z19tLp7v/+7/98gl980WL2O+q8YjHXTPXfDqhC8v3338t5552n1UjM26SkpETef/99rVgwe/bsiG4Tjxp7f+LHYDwIth7x1mChNfePsfyMN3c/5f+9yCZR4WEATHEJI2bmUTOMKLQ07JRQ5smAkQ2U6zFbvnx50Nv7j5ScfvrpuuNsbMGoVzCBHgujcma9e/cO+NhG+bHGlmi12PUfJfdfx23btgUc/TW2OUaZDCivhYYQja13oDJPzRWNYNV/22M01v+L+5dffmn0NpHCqLPZvHnzIr7Pb775pv7/KJOFUdkvv/xSa5Fi8f8S9zd27Fh57rnnZO3atXpkBUcuUGbO/HqjjFqkt4mlPn36+PyNoy1Nfa4aK1uXnBy9r2D//YP/38a+IZz1wI8alFQz7wP9j3Bgn2g+YofXpqn3QqTb0r+kGd4fW7ZskZbi//ny/zxXVVXpOjX2fKPB/L2I14mjv+FhAExxC7VTQwk0Y8XoEmV200031Xfowk4fNXgbW3/zyAoO76GesD98qWAU6+ijj250fV577TWfWo/4MjDX8cXhZtSfBNTPNH9BzJw5U2sI+9u6das88cQTPq01I+V/SBrbyAh4se2wDRv7Ij7mmGN8gmVc37/mr8vl0sD3/PPP105I0WL+wQPN+VJFnWEEbgYEv7fddlv9qBH+vvXWW31ug9crmk444QSfv5999lmteev/JY33VKjMrwFeJ9QTNjzzzDNBa0ob9YMRhBstnXFb1Js97bTTfA4LmxtVNOc2sYbXdr/99qv/GyPU+PyYu/YBOnR99NFHcuqppzb40RwreI/hcY3H92/kcOihh4Z9n/6fR0CtYOO9gM8h/jbDfiyUwD6SbYnXH/WIDVgP1KdG23CzJUuWNEj9Mn/GEUA2Jw3K//OKz3N5eXn93xjIMKeOYH8Qiy545sDb/H1JIQohT5ioVZgngWGShv9EIkM4k+ACTXpobLLD//73vwb3H04ZtFdeeaXBdTC5ByWPsGACnrkMULDn718GDbOG/S/zrwPpXxcUEzFQZgkTLDBD3Dxr33+9m5oM5b9u5jqjqM3rXzMU2wrbzL+MWaDn/euvvzaoC4pZ0ZjljnUfO3asz+XmCSihTHJq7P2AiVvm2ppYUHbLmJTzww8/eEPx+eefN7gflPVC6Sj/MmiY/IOJc+Fs/1Dg/RXovYfKJqh+gUk64ZRBw238X1PM0jcmkfqXCzTfFjVlcV6HDh3qy5lhPVAZxXwblFWL5DYtUQUC9+Ff4g41pfHaYntg4pa5BrZ5O/hPgsPnqLkCldJC+TOsh38JMayPefKv/yS4QPXLDcuWLWtQzxrP96ijjmqwDrgert8S2/Kbb75pUNYQ+wVUlsB+Yo899miwbwL/iXWYiHjCCSfo5/ull14K6bOAz6v//h/7KKy3/8Rk7AewP2jstfPnXyknUOlD1gGOHANgiltLlizx2Ql88MEHAa8XywAYbrnlloBBm1GbsqkvkocffrjR2fLGgi+CxoJM1PX1r49rLAgO/RthoCRaU40wzLePVgAMH330UdBGGPiS8A9i/OGHh38poGALKipEKwAGlHkK9ljB3oOBoMFIsMYl5ioVqBbiLxoBML4g/cv4+S/hBMCoMBLsNUXA4V+WKlAA3NiCqiT4zEdym5YIgOGNN94I+ln0X8yVY2IZAE+fPj3g4+OHCUommoUTABufZ/wQaex54nJcr6W2Jbz99tsNalD7L/77pieeeCLodbENQ/0M4nPr39DHf8HnP1DjmmgEwO+++67PdZYuXRr09aPAmAJBcQttgw888MD6v1999dVWWQ+0+USKAg65IccKOW6YVY9JOP6HsgP5y1/+oikc06dP1xQFzPDFJAfkOKMixcknn6x5jE0dKkVrTMwqRmtYHE5D203c/t5779VDhGhNaobLcYgbqQLnnHOOtj/GY+KxMVkCFRKQQvDGG2/If/7zH4kmHAadP3++TJ48WR8Lh68xK/2hhx6SDz/8UNetMYcccoj89ttvmj6BNBQc8kRKCu4HuYxHHHGE3HXXXXoIEK2SowltlvFaYRZ3U+vZGLTqRf7zddddp62DMWMbzwH5kZj9/8ADD8iyZcsazACPFrxP//vf/8rHH3/s004Y+buYMY9WyGjXGirkaKLl6p/+9Cd9LkYr7vvuu0/efffdRifuoF0sWt1i0hzyJ7FuuD4+C0bbWLyW+MxHcpuWgnx+pHwg7QCfS0yuxbrh8Dom7B133HH6+iL/2z8nPlYefPBBbaeL9cHnHDmhSHtAq3V8ziP9POPziEP7SFvAZ9rYj+DwPvaDSLHyT+Pyb23tv4+KdFui1Tpui30Bvivw2cJnDOuF/c0ll1yi92l22WWXaQttfCYjyZnF5xafX2x3fB8Yj43PBvat2Idgvx9u+/RQmb8PsQ/0r0RBTUtCFBzC9YhaBSbXnHLKKfp/7BCRk2mUVmrv8GVjzuN74YUXYrYzJaK2BRPBzBPS4vGrHHMWRo8eXf83AsW5c+e26jq1B8hdxo9YI38Z35OoxELh4QgwxTV8qI2JEpi08/e//721V4mIiBoxZ84cHdHFxDUzHHWgyOHoiBH84sgMg9/mYQBMcQ2VDPBhNzz66KMNmmQQEVH8QHoYUsfMlUGQgoXGJRQZfP+hQorh4Ycf5iZtJnaCo7iHHK54PLxHRETBIZcXh+qRx4uUrmh19ExkyG9GIxiKHHOAiYiIiCihMAWCiIiIiBIKA2AiIiIiSigMgImIiIgooTAAJiIiIqKEwgA4DlVXV2sHGZwSERERUXQxAI5Da9eu1TaOOCUiIiKi6GIATEREREQJhQEwERERESUUBsBERERElFAYABMRERFRQmEATEREREQJhQEwERERESUUBsBERERElFAYABMRERFRQmEATEREREQJhQEwERERESWUhA2AV69eLbfffrsceOCB0rVrV8nIyJBhw4bJVVddJdu2bQvpPl588UVJSkoKuOy7774xfw5EREREFD6rJKjnnntOHn/8cTnuuOPk1FNPlbS0NPn+++/lySeflFdffVW+++47GTp0aEj3deONN8oee+zhc16nTp1itOZEREREFImEDYBPPvlkueGGG6RDhw7151100UUybtw4ufjii+XWW2+Vf/3rXyHd1+GHHy4HH3xwDNeWiIiIiKIlYVMgkKJgDn4Np59+up4uXbo0rPsrLy8Xh8MRtfUjIiIiothI2AA4mC1btuhpfn5+yLeZPHmyZGVlSWpqqgwaNEjuv/9+cblcMVxLIiIiImquhE2BCOaWW27R02nTpjV53fT0dM0fPuyww6Rbt24aPL/yyity/fXXy9dffy3vv/++JCc3/hujoKBAdu7c6XPemjVr9NTpdOpCRERERMHZbDYJR5LX6/WGdYt27J577pGbbrpJTjjhBHnnnXe0mkO4sDmnTJkib775przxxhv1KRXBoBLFHXfcEfCyr776SoYMGRL2OhARERElkq5du4Z1fQbAdR599FG55pprdDLbf//7Xx3dba7ffvtNq0KceeaZWlGiOSPACMJ/+uknGT58eLPXgxIbfozhCAJ+FTfnxxwREVF7HQFmCoSIPPzwwzJ9+nQ59NBD5T//+U9EwS/069evPrhtSl5eni7BXsxwX1CiyspKmTdvnixcuFB2796tkz3Hjh0rEyZMiPi9TURE1B4kfAB83333aTm0o446St59912dyBapVatWNWs4nihSCH5nzZol8+fP18okaPCC9+OKFStk5cqVcuGFFzIIJiKihJec6Dm/CH6PPfZYee+994IGvwgqkNbg3yGuqKiowXVR/WHGjBn6f6QxELUkjPwi+MVI76hRozSHfJ999tG/0egFkzOJiIgSXcKOAD/xxBM64Q3lzk488USZPXu2z+WZmZn1ASwOJU+aNEnOOeccbX9sGDlypBx00EF6iioQW7du1clvv/76q05++/Of/9ziz4sSO+cX71WM/CLw3bRpk1RVVdWn0uD9+fnnn2s6RHZ2tlgsltZeZSIiolaRsAHwokWL9HTHjh1y3nnnNbi8T58+TY7gotrD3Llz5csvv5SSkhI93IxRtxdeeEGDZU48opaECW/I+cX7EO891KZG4IsGLQiEPR6PTrCcM2eOno9RYVzHvOCHHwNjIiJq7xI2AMZIrnk0tzGoDBGoWtyDDz4YgzUjah4EtZjwhpxfvF9zc3PrL0Pwu2vXLm3UgsoiGCUuKyvTiZr4EWhA4BwsMG6qpjUREVFbkbABMFF7g+AV6Q2Y8Ib0h169eul5CIY3b96sATGatphrSyMwrqio0GDYvCAo3r59u899MzAmIqL2ggEwUTuCUmeo9oAJb4sXL9Z0CAS4GMUdN26cjB8/3uf6GNU1RnnNEBgbo8RNBcZ4DP8RY5zHEWMiIopXDICJ2hGM0qLU2dChQ2XBggX1dYD3228/DX5DrQOM4BUT5bCEEhijQoq5SgoCY6RN+AfGeHwGxkRE1NrYCS4OLV++XEaMGCHLli1jJzhqE53g3G53wMAYJQTNEPwGGzHmpFEiImopHAEmaqcQUKakpLTIY6FyRE5Oji6hBMYoyeYfGAcbMWZgTERE0cYAmIhaPDBGw5hAgfGWLVuC5iibl7S0NAbGRETUbAyAiajFWa1WzU3G4h8Y+wfFWFBn2z+wDjRizMCYiIhC+h7iZiKieAqMUa7NXMMYkMscaMQ4UGAcbMSYiIjIwACYiOIeJvIFC4wDjRij+oV/YB0oME5NTW3hZ0JERPGAATARtenAuGPHjrqY1dTUBAyMi4uLG9w+UCoFA2MiovaNATARtTuoftGpUyddmhsYBxoxttvtLfxMiIgoFhgAE5EkemDscDgCBsa7du1qcHuMGKNBiDkwbqlyc0REFB0MgIko4WFkF0vnzp19tkV1dbVPQGxMxAsUGAcaMWZgTEQUnxgAExEFgVxgLF26dGk0MDYqUhQVFflcD0F1oMAYKRZERNR6GAATEUUpMK6qqgqYX1xYWNjg9uaA2JiIx8CYiKhlMAAmIooS1BvGkpeXV3+e1+sNGBgjjWLnzp2NBsbGgjJuREQUPdyrEhHFUFJSkqSnp+uSn5/fZGCMNAr/wBhBtX9QjFFjBsZERM3DAJiIKM4C48rKygaBMdIoCgoKmgyMsaAjHhERBccAmIgozgLjjIwMXbp27dqswBhBdaARYwbGRES1GAATtVMImNAqGBOrEFRR+w2MKyoqGgTGCIp37Njhc/tggXFycnIrPSsiotbBAJioncEo4bx582ThwoWye/du6dChg4wdO1YmTJigARC1LwhsEcRi6datW/35Ho8nYGCMoHj79u0+t2dgTESJhgEwUTsLfmfNmiXz58/Xpg0YLVy1apWsWLFCVq5cKRdeeCGD4ASBUV1jlNcMgbHR0KOpwBjvH/8RY5zHEWMiausYABO1Ixj5RfCLEb0hQ4ZoEIND5Js2bZLvv/9ehg4dKkceeWRrrya1IgSvaOWMJZTAeNu2bbr4jzj7B8Z4zzEwJqK2ggEwUTuBQBdpDwhiEPxu3ry5PgcYy/r16+WLL76QMWPG6CgeupQRNRUYu93ugIHx1q1bG9w+2Igxc9CJKN4wACZqJxDsIufXCDhSUlJ0VM/hcGhqhMvlktWrV8tXX32lATEqAhhluAItrDFLgPdJTk6OLs0NjIONGDMwJqLWwgCYqJ1AUIsJb8j5xWiwubYsgl90Hhs0aJCMGjVKA2JjQdMFBMr+EEAjmA4UHKP+LIOXxBYsMMZ7LVBgvGXLlqA5yuaF7y0iagkMgInaCQSkqPaACW/I+e3Vq1d9DjBG5Tp27CiHHXaYDBw40Od2uLy6utonKDYvxcXFAR8LgYo5KDYHywieKTHhyAF+iGHxD4z9g2IsJSUlDQLrQCPGDIyJKJoYABO1Iyh1hmoPmPC2ePFiDUpRCgsBxLhx42T8+PFBg1ksnTp1anA5DnWjZS/uxz84RsoFGjEECoICjRxjffA4bMiQePCeyM3N1cU/dSfQiHGgwDjYiDERUbgYABO1IwgyUeoM1R4WLFhQXwd4v/320+C3OXWAjRE5LIHU1NTUB8T+QTJKa2GE2V9qamrQ3GNcxvSKxErdCRYYBxoxxnvaP7AOFBjjfUREFEySN9C3E7Wq5cuXy4gRI2TZsmUyfPhwvhrUZjvBYR0wehwotQLBMoJnf8gNNadX+Och4/lQ4sJ7JlBg7P9ewvskUCoFA2MiAo4AE7VTRiWI1l4HI3ANBHmhwXKPMWkPE/T8IbBpLL2CtWjbN7ynkarjn64TLDD2z2HH+yfQiDHLAhIlFgbARNR6OyCrNWDtWYNRwi1QikVpaWnQ9Ipg1SsQ5DC9IrECY7yHAgXG+IHlf3uMGOO9aA6MW/tHJBHFBgNgIopbCFix+OeHAkq3BUqvQJCM4LioqKjBbTA6HKxyBWsft+/3UOfOnX3OR+UTc0BsTMQLFBgHGjFmYEzUtjEAJqI2yeg8hiUQ5D8Hq16ByhXBah8Hm5zH9Ir2BUcKsHTp0qXRwNioSOH/gwpBdaDAmDnqRG0DA2AiapeMFtCB0iuQOmFOr/APkv0rDQSrfeyfXkHtNzDGj6lA+cX+ZQBxW3NAbEzEY2BMFF8YABNRwkEwawQ6aBDiD6PDgVIrGqt9bG4tbUzIM6dYsPZx22bUys7Ly2tQ5SRQfrH/BE7/wNhY2HKcqHUwACYiCpBe0VjtY6RXBEqtwFJQUBBwch5GiINVr2Dt47bJXOXE3Ho8WGCMNAr/wBhBtX9QjPcdA2Oi2GIATEQUJhzODtTu17+1dKAgOVhr6WCpFWwt3b4CY7wH/ANjHFHAD6emAmMsPJJAFB0MgImIoiiU1tLBGoMEq33s31rav3oFax+3nfeGMXGza9euzQqM8XoHGjFmYEwUHgbAREQtCIGKEbiEUvu4ua2ljSCZtY/bdmCMH0b+gTGCYrwXzLcPFhjzxxFRYAyAiYjaUO1jpFcgKPIv8YY6tv41bM2tpYM1B2F1gviFwNbIRe/WrZvP+yBQYIygePv27T63Z2BMFBgDYCKiNsLcyCPU1tJGkBys9rG5tbR/kMzax/H7Pgh0FAGvr9HQo6nAGK+1/4gxzuOIMSUKBsBERAnQWtq/9rF/kIxmD8HKxfmnVhgjyqx9HF8QvAZ6/YMFxtu2bdPFf8TZPzBmnjm1RwyAiYgSQCi1j43W0v7VK4K1ljbXPg60sJRXfAfGmJAZKDDeunVrg9sHGzHG+yoS+GGGsoI4EhHpfRGFgwEwERH5tJb274IGCFICpVZgQeWKxlpLB8o/xigyA57WhR8wOTk5ujQ3MA42YtzUa4v3zbx582ThwoXaXAYlBceOHSsTJkwImuJDFE0MgImIqEkYoQsULPnXPg60hNNa2giWETxTfAXGyDEPFBhv2bIlaI6yeTF+9OA9MWvWLJk/f77eH17zVatWyYoVK2TlypVy4YUXMgimmGMATEREMa997F+1whwcB2ot7V/72H9h3duWh9ckUAMYBMb+QTEW/7xyvGYYMV66dKl8/vnnGhSPGjWqvhLJpk2b5Pvvv5ehQ4fKkUce2aLPjRIPA2AiIoopI/AJ1lq6pqYmYGpFY7WPMQHPPCHPHByztXTLB8Yo2+dfug9pM/4jxsgnx8gvXle8H9avX68jxn369JFevXrJ4sWLZcGCBXLEEUcwRYZiigEwERG1KqQ7YAnWWtqYnOe/NFX7OFj3PNY+bhnYzv6BMX7sfPTRR/r6oekH/sZiTILD64SjAgiemQZDscQAmIiI4pbRzCGc2sfGEqy1tLn2caASb6yFGzvY9qhCsmbNGs0xNk+WMzrf4YcQf6RQrDEAJiKidln7GPxrH5tTLHA4vrHW0oGqV7C1dGQQ8KLaAya8IecXaQ84D68D/kZe8H777cf0B4o5BsBERJSwraUDpVcYbYaDpVcES61g7ePQoNQZqj1gwhtyfrENsc0R/I4bN07Gjx8fhVeeqHEMgImISBK99nEgyEMNVr0iWGtpo/ZxoIXpFbWwLVDqDNUeMOHNqAOMkV8Ev6wDTC0hyRvo+A+1quXLl8uIESNk2bJlMnz4cL4aRERxxr+1tH+QjLrIwbrxBUqtMNIrEg07wVFr4QgwERFRDFpLB5qYh0A5WO1jc2vpQCXe2mPtY2xHVnug1sAAmIiIKMqMNsHBah8jvSJQagWWgoKCoLWPg1WvYO1jovAwACYiImphKPMVqKuaf2vpQEFycXFxo+XiAi0cZSXyxQCYiIiojbWWDpZeEaz2sX9raf88ZNY+pkTDAJiIiKgNQS4wSoZhCaX2cSitpY3ax4GC5FjWPuYkOGotDICJiIgSqPaxkV7hn2LRVGvpYNUrmtO1DY83b948WbhwYX0ZNDTIQI1glkGjlsAAmIiIKEGYG3mE2lraCJKD1T42t5b2D5ID1T7Gfc2aNUvmz5+vQTdus2rVKu0OhwYZqBHMIJjaRAC8bds2nbWKQyR5eXnStWvXaNwtERERxUlraf/ax/5LSUlJ0HJx5qAYo75z587VFI4hQ4b4tEJGdzg0yDjyyCNb6BlTompWAIwE/HfffVfeeustfRMXFRX5XI6k/UmTJsmpp54qJ5xwQrusXUhERJRIQql9bLSW9q9eUVpaqrECAt2PP/5Yg90BAwbImjVrdAS5R48e0qtXL22NjO5wRxxxRMzyjonCDoDxxn366adl5syZOuqLQxtjxoyRQYMGadCLy/EGX716tXz44Ycye/Zs6datm9xyyy1y8cUX881MRESUAK2lu3TpErD2MfJ9//vf/+rRYuQo4zwsGChDwIvb4jo4j6XbKG4C4FGjRmlwe/LJJ8s555wjhxxySNDRXeQR/e9//5OXX35ZrrnmGnnyySdl6dKl0VpvIiIiakMw0tu5c2cd7d2yZYsGweZRXgyiYeQYE+KaM7GOKBy+melN2G+//TQAfvXVV+Xwww9vNLUBeUTI4Xnttdc0qR2zO4mIiChxIeBFPIAOeUiDMEqyGTnAyAtGrMH0B4q1JG+ggoDUqpYvXy4jRoyQZcuWyfDhw/lqEBFRu2FUgcCEt7KyMk17wMgvgt9x48axCgTF5yS48847T/N58QuNiIiIKByoBIFSZ6j2gAlvRh1gxBXjx49nCTSKzxFgJLkjBWLKlCmxW6sExxFgIiJKBOwER62FjTCIiIioVSDXl9UeKO4nwRERERERJWQAzNmZRERERJRQOcAocI1ZmyE9QFKSrF27trnrl5CYA0xEREQUZznAO3fu1IWIiIiIKCFSIFAFAj2/Q12IiIiIiOIFJ8ERERERUUJhAExERERECYUBMBEREREllLAD4IkTJ0p+fn5s1oaIiIiIKN4C4Dlz5sihhx4a9PKtW7fKokWLtLd3PFu9erXcfvvtcuCBB0rXrl21rNuwYcPkqquukm3btoV8P5WVlXLDDTdI3759xW636+mMGTP0fCIiIiJqBwHwkiVL5OGHH5aioiKf8wsLC+Xoo4+WXr16ybhx43SUeObMmRKvnnvuOXnwwQeld+/eGrA+8sgjut5PPvmkDB8+XH777bcm78Ptdssxxxwj9913n0yYMEGeeOIJOe644+SBBx7QU1bAICIiIopD3jBdfPHF3l69ejU4f/Lkyd6kpCRv//79vSeddJI3Pz/fm5yc7P3ggw+88WjRokXe4uLiBuc/88wzaAziPeWUU5q8j+eee06ve+WVV/qc/+CDD+r5L730UrPWbdmyZXp7nBIRERFRdIXdCW7PPfeU/fbbT5555pn68zZs2CD9+vWTESNGyMKFCyU1NVUKCgpk7733lr322ks++OADaStKS0slJydHhgwZ0uQo8MEHHyxz586V33//Xfr06VN/flVVlXTq1EkOOOAA+eKLL8JeB3aCIyIiIoqjFAjk+A4ePNjnvC+//FJPL7/8cg1+IS8vT8466yxZvHixtCVbtmzR06Ym+uF3A3Kdu3fv7hP8Qlpamv5QwOVERERE1MZbIZeVlUmHDh18zkOgl5SUpCOiZgMHDmyQKxzvbrnlFj2dNm1ao9fbtWuXTnTDqHcgPXv2lPnz5+uIcnZ2dtD7wUi5f1vpNWvW6KnT6dSFiIiIiIKz2WwS0wAYI55GgGb49ttvNchD2oAZJoGlp6dLW3HPPffI22+/LSeccIKcc845jV7XqPKAyg+BGCPhuF5jATAm3d1xxx0BLyspKWlzPyCIiIiIWhoqesU0AB41apS8/PLLWi6sW7duOsr5yy+/aNUDfytXrtTrtAWPPvqo3HTTTTqK/dprr+mIdmOMwN7hcAS8vLq62ud6wVx22WVyyimn+JyHHxgIwpGLjFxiIiIiIoqesAPg6667TsaPHy9Dhw7VEV9M2EKweMkllzS47scffyz77ruvxDuUdZs+fbrWN/7Pf/4T0qh1x44d9XqbN28OeDnOx8hvY6O/Rq40lmDD+eEO6RMRERFRlCfBoXHEU089JRaLRX744Qc9Rd1b1AD2b5iBKgqHH364xDPU8EXwe9RRR8mHH34YcsoGgn4E95gUiCoYZqgC8fPPP8uYMWNitNZERERE1GIBMFx88cU6cQsd0zDJ69prr21wHZQAKy4uljPPPFPiOecXXdyOPfZYee+99+rzdv0hjxfBvH+HuLPPPltPH3roIZ/z8QMBQbBxORERERHFj7DrALcX6Np2xRVXaLmze++9t0GqQWZmpubhwldffSWTJk3SiXEvvviiTyc4nP/111/L1KlTtRscOuVhYhvSRFADGCPk4WIdYCIiIqI4ygH+7LPPZPTo0U3WyTUmwX366ac6YS7eGDV6d+zYIeedd16Dy1Hb1wiAg0Fw+9FHH8mdd94pb731lrzxxhs66Q8pFbfeemuzgl8iIiIiirMRYAR1r7zyikyZMkX/RpkuTOL6/PPP5ZBDDvG5LqopYGQUI6UUOo4AExEREcVRDnCgeDlBsyiIiIiIKFEmwRERERERtVUMgImIiIgooTAAJiIiIqKEwgCYiIiIiBJK2GXQ4LnnntPauOBwOLQrGtoJv/nmmz7XW7t2bXTWkoiIiIiotcqgJSeHN2iM4Jhl0MLDMmhEREREcTQCvH79+tisCRERERFRPAbA6JBGRERERNRWxXwS3BdffBHrhyAiIiIiav0A+JtvvpGDDz5YjjzyyFg9BBERERFRy1SBWLNmjTz22GOyevVq6dSpk0ydOlUOP/xwvWzFihVy7bXXyueff64T4E499dTmPAQRERERUXwEwL/++qvsv//+UlpaWn/e66+/rgtMmzZNampq5LTTTpNbb71Vhg4dGt01JqKQoMCL0+kUm82mP0aJiIiomQHwzJkzpaqqSh555BE57LDDdDT4qquukuuvv1527typwTFGh4cNGxbuXRNRFFRWVsq8efNk4cKFsnv3bunQoYOMHTtWJkyYIOnp6dzGRESU8MIOgPHFeu6558rVV1+tfw8fPlzr/J588smaBvHJJ59wtImoFYPfWbNmyfz586W8vFwyMjJk1apVmpq0cuVKufDCCxkEExFRwgs7AN6xY4eMGTPG5zzj7/PPP5/BL1Erwg9UBL8Y6R0yZIh+HpEKsWnTJvn+++81JYkTU4mIKNGFXQXC5XI1GEEy/u7cuXP01oyIwoJAF2kPGPnt1auXpiRt375dc/Lxd1lZmSxYsECvR0RElMiaVQUi2IQaTrQhaj2Y8IacX6Q94LPocDg0JaKkpER/pKKNeXFxsV4vJSWFLxURESWsZgXA06dPl9tuu63+b4/Ho1+4KIeWlpbmc12cj9xDIootVHvAhDfk/GKUF6O+1dXVGvSiasvWrVslNzdXfv/9d+3oaLfb+ZIQEVFCCjsA7t27twa1GEXyPx/8zyeiloHPJao9YMIbcn4RAKempkrXrl01EMYpcoDxgxQ1vLt37y79+vXToJmIKNowST6ali9fHtX7o8QWdgCM0SMiik8odYYAFxPeFi9erOkQFRUVkpWVpVVaMFEVo8Hr16+XzZs364JR4b59+2pAjDQJIqKWgrQto145f4xTS0ryckZM3MGv3BEjRsiyZcui/gua2j/k/X799dc64c2oA7zffvvJ+PHjfSawGoHwli1btJQhUiKQGoEFI8dERLF28MEHy9y5c2XixIny1VdfcYNTfOcAE1H8QpCLUmdHHHFEo53gsrOzZfTo0dq0ZuPGjXp0B/nDSI/o1q2bpkd07NixVZ4DERFRLDEAJmqnEPSGUu0BAfKAAQOkf//+WucbgTAmzGFBkIxAuEePHmKxWFpkvYmIiGKNATBRGxSLySUImDFRDgtqCRt5wkuWLNGJdUiNQK6wf6UXIiKitoYBMFE7FcnkkszMTBk5cqTsscceWlECwfCaNWtk7dq1kp+fr6PCbHxDRERtFQNgojYolHJA0ZhcYrVaNdjFyG9hYaEGwuguhwVBMi7r2bOnXo+IiKit4LcWETUJ6RFdunTRBWXVkCeMkeFffvlFfv31V60DjiAZZdeIiIjadQCMVqv4MjTPFC8qKpInnnhCT88880wtzE9E7QeCXOQgo6kGcoQxKrxu3Tpd8vLydFQYgTJboxMRUbsMgC+77DJZuHChjgIZAfG4ceM0TxCefvpp+fbbb2XfffeNztoSUdxAVQijbjB+8BrpEQUFBRokY0QY3eiQg0xERBRPImr7hOD22GOPrf979uzZGvw+9dRTWoQftUQffPDBaKwnEcWxTp066Q/dQw89VAYNGqST75Cn/Pnnn8vSpUulrKystVeRiIgoOiPA27Zt08Odhk8//VRnjV988cX694UXXijPPvtsJA9BRG0ISqQhNWLw4MHaYQ6jwhs2bNAFVSMwKowya0yPICIwmtGyKS21qQAY7VPN0H71T3/6U/3f3bt318OhRJRYkpOTNf0BS3FxsQbC+MGMShIIkhEIY+JcKI06iKh9tmyfN2+e/jgGnH7yyScyYcIEn5btRHGZAoHcP6RBAA5zop0qSi8Z8IWHTlJElLgjK7m5ubL33ntresSQIUPE4/Fo5QikR/z8889SUlLSqutHRC0f/M6aNUtefPHF+vQonOJvnI/LieJ6BPj000+X2267TUd1kO+HYvtHHnlk/eX4ckOLVSJqOfE6spKamqqpEQMHDtQfx0YpNSyoJINRYcwbwOgxEbVf2D/Nnz9f90eYMLtr1y49xd/ff/+9plGZYwmiuAuAr7/+eh31feeddzT4ffnll+tHfNGF6oMPPpDp06dHa12JKMSRFXy5+I+srFy5UvPyW/vwIgLcHj166ILRX6RHIF/4xx9/FLvdXp8egYCZiNoXHJFC9Sh89jEXAClSUFpaqpWkEDtgEv0RRxzBuQIUvwEw8vfwZYvFHwJhlERq7S9bokQdWcGCkRWc4rOKdCUckcHICr54EIjitDUnpOXk5Miee+4pw4YN0x/TGBVGoL569WodDcYkW6RQEFH7gAoxO3fu1M87UqEQ9AJOlyxZomUTcVQZ1+McAYrbAHjOnDkyadKkgJfhyxVfbkTUsiMr5eXlmmuLLxDji6WmpkYbVbzxxhuag2sOes3BME7D/X80bocFR5H22msv/XJEWgSCYJRVxH7E3HLZfFsialsw8osfuUiDwmceR32MYBef7x07dugoMOuHU1wHwJjUgsOV55xzjkydOtWnJBoRtSx8ieCLA7l0CBDxZQL4IkGdXlyG5hWozoLLEAhjQeBsPvU/Hwvu2/88/D+WE+zwHPAluWzZMq0wg3VGpzl0mcOXpnGdcILsSIP2aD4OUSJB19gVK1boZ9rlcunnOSsrS0d7idpcAHznnXdq3u8dd9whd911l4wfP16mTZsmJ598MlMfiFoYAl2MqKxatUoDU3MAjBq8mAyHCWj77LNP1AIwIwgOFDQ3FVg3dTsso0aN0hFsfGmi7TJynJEvjIAe9YQxOtzYfaNUY7D7bm2RBNPRHoEP93ZEoUKwi6M5OAKFzx1+xPbv318/08j7raqq0uvhc47r5ufn6+eaKRAU1wHwzTffrMs333yjk2z+/e9/y9y5c+WKK66QU045RUeGMfOciGIPgcnYsWN1lAUpBOYyaPgboy377bdfVAMYI4c41ukIo0eP1ueB9AhMmkN9cXxxIsg30iMwuh2OcALxSK/bnPMRvAe779bWWkF7pPfB4L3lGPud3377TYNb1P/GD1ekaOGzi6M4+HFufk1wdAfnGadEcRsAGw466CBdHnvsMa0IgWD4pZde0lP80sOvPyKKPfzgRH4dSgnhiwaML5xx48bpUZq2Cl+UGD3CgsOpmDCHiTSoQY7JNGi6gZQspICEen/hBs3xIpqBerSD+WCj7vEQvJt/sMUyaI/FaH1bCt4x+RapSzjFUZvMzEzdB+EoDj5zOAqFzy32Tfgbo714fvhMY9IrfvC2pedLCRwAG/AL78wzz9TlX//6l1x00UV62IOIWgYqPqDUGepoohoEvoAw8nvuuedq8NteqrIgyB0+fLhO9sOXKr44sa/BgkOoGBVG2kd7/RI1gve2GMDHU9Du/3//UXf/y1tTY0F0SwXtTd03RnrxYxQ/wjHZDRPbjNreGNXFkRp8PjEp1xj9NR+paq+fV0qAABi5ea+88oqO/iIPESZOnBjNhyCiJiDIRakzdGpE3i9O22tReaRAYNQXCybTID0Cs8ixIEhGIIyRYSMfmlqfkS7T1oJ3c757NPLbo516g+C9NSarAh4bFVvWrFmjeb2o4Y0foGhwgyAYqQ9FRUVa8/eXX36Rd999V19/fD6RzoTAGSkR+++/v/5oRzm0448/ngExxVTE3wp44xppD19++aV+EPCFe8stt2gOMCtDELUOYzQlUUZV8IWLBYdcEfhjwWFY5CBi5An7IhyKJYrnfPeWCt6jEbSjyQ4CWgSsSGdAELvvvvtqvXGjWov/7TD6W11drUem8OMUn1GkNGHi26BBg3QEGRVrOAmO4joAvvjiizXVAb/4kP4wZcoUPdQarDYwEVFLjIDvscce2nYZR6UwKowUCSz4UsZoMQ7DJsoPA6JoBu8Y9MLnCmkOCH4R+CJvF53bxowZ02TjGgTDmCyPmuUYLEPsAFg3XIZgGNVsOAmO4joARge4Aw88UEufnXrqqRxdIaK4gUOsaKmMBYdVEQij9BIqSSBINlou84uWqHEoT4bOrsi337p1q04+xSgtgl2kLWCCbahd21qjWg1R1ANgVHfAoQ4ioniGXEQsOPRqpEfgC9icHoH27URUC+kK+LGIoBc59UhdQL4uRmgR+GK0F3W6EbCGqz1Xq6EECYAZ/BJRW4LJOagcgVxDjAZjVBijWVgQICMQRoONtpjnSRQNOFqCFAeM9CLoNYJhBL7IsUczHVRgQRpRcyVKtRqKb5waTUQJBwFujx49dMGhXATC+MJfvHixBslGeoTRcpmoPcNkNgS9WDCJFBCQImcelRtwHio5IK8en41o/EBMpGo1FJ8YABNRQsOEm7322kuGDRumI8GYLIfUCJRy7N69u44K4zrUumpcXtlY5OTLECWO6mrZvn2LbN+6RcrLS/U8uz1V8rv2lo6dOkvBjm2ycvnvkiRJ0r1nb+k9cIh4UlJk3U5XVF+Daucfp2t21I44U/vRu5NNUqzxmc/NAJiISL/87ZoagUO8mPCDUWHkP2JBAIxAGAEx0yNaB4LfyY9t43s1Al63U1zlBeIs2y7uymI9L8liFWtmnlizukpyao64SjaLo+gnEY9bLOm5Yu8ySCwrs0T+VxSTbf/7FoeeLtvi4OvbDr1/ZTcZmB/aBMmWxgCYiMgEs8/RvQoLSjwiEMah4Z9++kknziE1AoeBkSpBFO+8Xo+4KwrFWbpdXBWFIl6PSFJyfdBrzUTHxGQNjKs2LhBPTaUk2dLEnj9IbFl5rb36RDHDAJiIKAhUhhg9erRPegSq36DjFQJkjApj8hxRPNG2zlW7xVW2TQNbr7s2bQEjujYNevMkyWLT89yOcnEUrhJ3xS6RZIvYOw8UW25vDYqJ2jMGwERETUCtYFS96d+/v5aCMibNYUGQjEAYE+raWntfal/cjjJxlW7XFAevqza1INmeKSkdu4k1K1+SrX8ctfC6a8RRtE6cJVsQMYstu5ukdB7gcx2i9izsAPiee+4J+3DijBkzwn0YIqK4g/0Zyj9hQd1SjAijeD9awZrTI1jGiVqKx1ktrjIEvdvE46iofZ/aUiWlY19NcbDYMxukRCDorSlaqyPDlrQOtXm+qTl80SihhB0A33zzzWFdnwEwEbVHmZmZMmLECK1liiAYwfDatWt1QS1hBMIoI0UUi8lszvIdOtqLVAdjMpstp4eO5GIyW6BOasgBduxcVZvna7VLatehYsvuyheIElLYAfCcOXNisyZERG2Q1WrVFAgEvIWFhZoegSoSWBAk4zJ0m8P1iJrL63FrAIvRXldF0R+T2bLyxZaVL5aM2slsgXhqKsSxc3XtJLhki6R06i8puX0kKZkpO5S4wt4jT5w4MTZrQkTUhmHEDSO+WNA4ACPCmDj3yy+/yK+//iq9evXSYDgjI6O1V5Xa0mS2yl21KQ7lBVqaTJKSfCezJVsbHSl27Fovzt2bNM8XKRGY5JZsY54vEYckiIiiDDnAqByBtssooYZRYWNBgIxAOC8vL+BhaiJ3dalOZHOV7fhjMltqdm3Qm5XX5EQ1BM7O0i1SU4g8X6feNrXLYM33JaJmBsDfffdduDeRAw44IOzbEBG1dagKgYlxWIqKiurTI3bu3KlBMgJhjAyjygQlNo+zSpyl23S0Fzm6kJySLrZO/TTwTU4J7ciBq3JXbZ6vo7wuz3eYWLO68ccWUaQB8EEHHRT2B8ntdof7MERE7UqnTp10qaqqkg0bNuiyfPlybbuMHGHkEKOkGiUOlCJzlu3QoNddVaLnoT6vrUMvDXotaTlhBdAIfF3lOzU3GFUgsDSWIkGUyJr1yUAHpBNPPFFbhhIRUejS0tK0csTgwYO1jjBGhY2AGAEyRoVRRYLpEe14Mlv5Ti1bhvxe5OZiYhryc1GRwZLeMawmFF6PS2p2/S41xRt1YhzyglHWLNmWFtPnQZRwAfBZZ50lb7/9trz++us6Ie6CCy6Qk046Sex2e2zWkIioHUpOTtaRXyzFxcUaCG/btk1TJRAk9+nTR5eUlJTWXlWKymS2orp2xDtNk9k6ii2rm1gzu4RdkQH3iU5vjsI14nXVaMMLe5chYk3P5etFFIsA+OWXX5bHH39cXn31VXnuuec0IL7yyivlzDPPlPPPP1/bhlLb4nXWiHPHxtZeDYoyr6Oq/rRm8xpu3ziG7M4RedkyKMcuG7ZslY2bN8svm9bK8u+SpUfXfOnbq5fkZGfVX9+W31uSbAyM4x3SGmons23XyWiAtAYd7c3KlyRL815D1P6t3rlSPNVlmjJhz0c93x48akAU6xQI5Klddtlluvz444/yz3/+U1555RV54oknZK+99tJR4SlTpjCfrY1A8LttxuTWXg2KMse63+tOl/H1bUMQ5u7h9crOKpdsKnfK0hq3LBWRnBSL9Mq0SV6aVXr87T+S0pMpaPEIE9iQ3oAKDj6T2eryevH/Zt+3s1pHfBFQYwQZtXw1z9fCSZRE4Yo4O37vvfeWJ598Uh5++GGZPXu2/v/yyy+XgoICufXWW5t9v6WlpTJv3jytoYn7Qj4cygaNHDlSJkyYIFlZf4yGEBG1J8louZxu06W0xi2bK5yyvcIpy3a5JSU5SfZcu04Gde6p8zGo9XlcDg14MdrrqS7V85KsKWLL7V07mS01O+K84Zriujxfj1usGZ3F3mVwRME0UaKL2vRQFHpfsGCBzmhGblJzZzN/9NFHGkR/+umn4vF49L7MEAgjd+6oo47SEeijjz46Ss+AiCj+ZKdYZFiKRQZm22VrpVM2l9fI6nXrZUNZjXTv3l2rR3Ts2LG1VzPhYPKZq7xAg153ZXH9ZDa0IkaKQ+1ktsjrPCNv2FG4WusBJ9szxN55sFgzOkXlORAlsogC4N27d8trr72mucBLliyRDh06yNlnn92sXGAEz9dcc42eYlLItGnTtH7woEGDdGY0AmFMDlm9erXWIv7kk0/k2GOPlbFjx8qjjz6qp0RE7VWKJUn6ZqVIn0ybJI8eJVscok02sOTk5Gj1CATEqD1MseH1esRdUVSb14tyY0Y74ozOGvTiNFrthd3VJVrWDHnESRar2POGiC2nR1gVIogoygHwl19+qUHvu+++Kw6HQw4++GCdFIfSaM2tBrH//vvLkUceKZ999pkceuihQX85ow4xgmMExF988YU89NBDelvWGiaiRIB9Y9e8LtK750ApKyvTlsubNm2Sn3/+WVasWKFNNzAqjEoSFDl813iqS2qbVJTvEK/bpeejq5o1u6vYMvOjmoPrcVVrBzc8HvJ8kTts79Sv2RPmiChKAfCAAQN0h4uRhunTp8t5552nIw+RQr4vgttwvgQOP/xwXb755puIH5+IqK3BXAjMi0BdYQTB2DevWbNG1q5dK/n5+bpv7ty5c2uvZpvkdpTrZDOM9nqd1XoeUhBScvvqaG+yLTXqo8s1xRu0pi/yfC0ZHTXdwWLPjOrjEFEzA2DUqsTIAoq4I10BS1OBKvJ5m9JU8Iv0iL///e/Nui0RUXuGVsr9+/fXgBdtlo2Wy1gQJOP8Hj16iNXKrmBNjb7qZLbSbdpKGNBOGNUWMNprscdm8rWzrKA2z9dZpRPb7J0HaW1gIoqdZu0N0cpzzpw5IV03Wt2Mnn/++aABMBERSX21HCwVFRU6Irxx40ZZunSpTlTu1auXpkdkZKDyMAHq8/pMZtN2xFax5XQXa1Y3TXWIVVc+t6OsNs8Xj5ts0Q5uSHlgni9RHAbAqMzQGvyrQRARUXAIcocPHy5DhgzRiXIYFV63bp0uCJAxKtylS5eEbJ6AdANXeaGmOLgqCv+YzJaZV9uOGJPZYjjZDGXTaorWirNkq/6NyW0pnfpLspUdVYlaSps6HlZZWSnp6ax7SEQUKqQ9GG2VCwsLNRDesWOH1ldHkIwRYYwMI42i3bcjriquDXrLC/6YzJaeq7V6EfzGuqEEAm/n7k3iKFpXm+ebnqv1fGOVWkFE7SAAxuE81BZG7vE+++yjy7777qud53g4j4ioaZgQhwVpbEiP2LBhgyxfvlzrtxvpEe2tyRDSDFyldZPZXA49L9meKSkdUa83X5KtLdNMBGXTkOeL7nBJtjSx5w8SW1Zeizw2ETUU1jGe+++/X6qra2fDhgM72/vuu08igZHfuXPnyiWXXKKNMGbNmqXl11D/ctiwYTJ16tSI7p+IKFFgIvMee+yhVXT23HNPyczM1ID4q6++kvnz5+vkubacdqYtg3etl4oN86VywwKtroAUB7QNTu8zTjL6jNOJbS0R/KKaROWWH6Vq6xJNfUjpPEAy+u7P4JeoLY0AP/DAA9p0Ah3YEHBixKAxyDV7+eWX5ZlnntE6vddff32zVxRB74EHHqiLOSXip59+kh9++EF+/PHHZt83EVEiQtMM7Mex7Nq1S4PgrVu3aqoEgmSMCKOucEpK/Neg9bprxFleoKO97qrdeh5SGmwdeta2I07r0MLr49RUB2fJZu0Shw5xCH5basSZiKIYAKML22233SZ33nmnnmKCxbhx42TgwIEBu7XhsBryzy699FK5/fbbJRKBRiMwKuwfFBMRUfjQThkLjqghNQILKkesXLlSu3Ni0lxzW9zHitfj1klsLjSpqNxVO5kt2aKpDRr0ZnRq8YoK+K5C0ItJbsgztqTl1Ob5pua06HoQURQDYLQ6xgjwjTfeKM8++6z861//0lSEQBAc33HHHXLhhRdqQfZIvfTSSxJtf/vb33QEGaPHKByPUWaXq3ZiRKhefPFF7UwXCPKUMTpNRNRWpKamauUItKHftm2bTppDKTUsCJARCHft2lX3l602ma1yV22TivICnUyGjmm1k9m6af3cpOTWmd7iqigSR+Eq8TgqtH5watehWlUiUa195vAmr1ODEXKkSm5b2uT1B1z8edTWjahZewkEtLfccosuOFSGSRQovg4oq4PgN9rdh7AT/vjjj+Xoo4+uPw9tQJGTjMdsjhkzZmhQj4l05eXl9c+hOfCjADl1ZhgVJyJqixDgonkGlt27d2t6BMqpLV68WINko7KE3d4ypbtKS3ZL9c5VGvh6XTW165iaXVvBQSeztV4JMUxsQz1fLamGXONO/bRjXFKypdXWqa2w2LPFa0uTpOT2XYWE4k/EP5MR6E6cOFFiDSPOr7zySv3fs2fPlrPPPlucTqecdtppehny2cKBlqFo7QyYUBdJAIzJJLgPonhhpA215clMFB8wUIDJckZ6BIJhpEYg3a1bt246KpybmxuT6j8Iujdv3iyrt+wWZ3Gxdkqzdeqho734f2tCni9aF9fs3qTpF2iRbO88MOptktsqjthSPGszZdBwKA4jtebR29NPP10mT54st956qzz99NNy+eWXh3WfRvAbLRhFRi3NlhoRIQqkyuWRBQWVsqXSqX/j9Kut5bJfXrqkWVvnsDW1D5gMh9QIzPtApQgcmUOAigVBMgLh7t27R5Qe4XA4dCIe7rO4uLYzG/apvXr1k/TeA+Mil1bzfEu3SE0h8nydkpyaJaldhrT4RDsiSoAAGLV+jZ0qRh1QYQIT7dDRCIfoMNEu3AA4mhCIl5aW6v/x5YDc52uvvVYnARK1ZPD7xupi+bGwSiqctV0bcfrvtbtlXYlDzhiUyyCYIobucRj5xYL9HkaEMUqLORVIiUNqBCpIIFUiFJh7geYcuA8ciUOAiSN6mHyH/TvS3NYWOMXyxbZWf/VclcXi2LlSPI5ySbKmSGrXYdoyORE76hG1ZW0mOhs9erR8+OGHGmh+/vnnMnLkSA1+YcyYMboDbg2oRHHqqafKYYcdpl8GGLVAOgZKvn399dfy/vvvNzoagm5M/qkXSM0ApHdgiTWX2y1ua/yXOaKmzd9eKouLHJJms4jdUvuFnGZJklSbRX4scki/jjUyoUd8zeSn5n1mk1pg3xBOTWH88N+0aZPui1E9AlWAMFkOgXCg+RAej0fnkGCfidFklMpEEIn9OkaRcVsjrQ0BstvtkpRkdys8w7r1dVZJ9c7V4izfKclJyZLWqZfYOyHPF1+jtT82icgXPrdOZ8v8OAy3m2WbCYBvuukmOf744+XEE0+Ujz76SGsRm+sBY+fZGhD8YjG76KKLZMqUKfLmm29qpQykagTz5JNParWMQEpKSrSsXKw5yyqlvEv/mD8OxRZGzX5Y/ZuUJtulZ5cO4tpaid2POMQirtQs2V5SKd+UWmXPUX1bbQY/RUdRWaXYWmDfEC40Jho1apQGtqgasWrVKl3QaAP1hDFIgMnLSGlD0Gv8wMftMNqLCdZGzWFMvDOrLHVK/6zyFn9OHrdLKoo2SXnRJsnwesSe11my8weINSVNRMJvDEWUSCpLi6SohSY44kdzuwyAx48fL6+99prm+h511FHyl7/8pf6y77//vsmmHC0Joxiok4wAGKPWjQXACORPOeWUBiPAJ5xwgn4ptEQlCaejRJw718X8cSi2atweqS7eKdkep9grd4tNan8UJnvd4q4oFa+jRjZsrZFFPzmlS7pNOtgtkmu3SqYtmYdv25hOWZgIFr9VZjA5eujQoTovAiPCSFtDhzmkS6DVMkZ5cR2jygSOpDWlxOOUdWXOFs7z3abNLNDBzWLvJKldBklVekfZjY7KtV2ViagR6dmdpFOn+Kzw0WYCYIwUHHPMMbr4W7hwoQaM8QSTQYwUh8bgi8BI5Qg0nB/ukH5zeC0WsdSVFaK2K9XrlQ7WJPm9xi2CAvx159uTk6RvukWKq0R6pFmkg8Uju8qrpKhuMM2WnCS5GgzXLpk2lm6Kd1aLpUX2DZFAiUpMYsOIL0Z1kSqB84y0BvzAR24vTkNhsXilxtMy7010kkPJNU91qXaTS+kyTGzZPcSTlCQ1zHYgCpnFYo3bfVXUAmDM3MVhL+zQYtE2E4fOcP/m9ABjx4mKEPEGh/2aMyRPFMmRh1Gd02RViUO2Vbp8yqBtr3LpaO8hPbNkbH6GuDxe2V3jluJqt+xyuKSgqnaBFFNA3DHVKumsHEEhQq4u0huQ14v9Nd57mAiMPOCDDjpIj2jhfIwKIwUCE9+QHoHLcRSvtScNe5zV4ihco7WG0VzDlttb7B37aRBMRO1LxHubn3/+WaZPn64TvpCHiwlqhxxyiI58nnHGGRqcYoJYNAJss/79+/vkx957770xDYSRZ4ycNgTdCMYNWAf/NAV8CRjrEm8j09S+odQZqj38VFglle7aABin1W6v7NU5Tcbm1R5qtiYnSedUqy4idnF6vFLscMtuh0t2Odyyo8qlC47zYjJdbopFclOt0tFuYRUJajCZDft7YzIb/kaOOfJ5kd6AU3ONdgySYME+FYEw9qvLli3TSXMIghEMIyhu6ZbKNcUbdEFnObRQTu0yWJJTMvhqE7VTEQXAv/zyi/6qR3vMqVOnygsvvFB/GQ7rYwf38ssvRyUA9i8xg52sWXMCYFRrQFF3wClGK2bOnFl/+c033+yTZjFp0iQ555xztP2xAdUosA1wisAY9SuR+4tZ0Mj9/fOf/xz2cyVqLtT5RamzATl2+bGwUnbXeCTDliwnD+igwW+wOsBIg8hLs+oCNW6vBsPFNW7ZVe3WEWQskIqA2G6tHSG2WySVI8QJB/tKpDegbBn2ecZkNgwGIOhFFYemDnsi7xeNNdB2GcEzagobCwJkpJHheyTW5cWcpdvFUbRGvM5qbaxh7zJYrBnR7WRKRO0sAEYDChzi//HHH6Wmpkaef/55n8sPPfRQ7dgWC/47xeZ0u3ruuedk7ty5PuehvXOgADgYVHvAfXz55ZealoF6xZgFjR8DCJZZG5JaGoLcid0zpUe6TbZUuPQUf4cjxZIkeek2XcDh9shuB9Il3DpSvK3SqYs+HgLiutFhTKxLtbDCRHuFfF4EvQhYq6qq9Lzs7GwtgYbAF3m+4cLoMCpEYNm1a5cGwEijQHlIBMkYEcZl0eauLhHHztWa75tksYo9b4jYcnpIUhLfv0SJIKIAeN68efLXv/5Vd4CBynVhp4UdWTRgxBejtCiwHkhzAs2vvvoq5OuizXGgIPvBBx8M+3GJWoLxmYjGjzC7JVny07HUBsTV5oC42iVbK5y6AHKGjdFhBMS4LbVdCHSNbm9Gsx8EukbQi/1/tOBoIhZMlkN6BPb5K1as0LbL7tQ8cTtSxWLPiugxUNGhpnCNVnjQPN8OPcXeqb8kWVgLnSiRWCPt095Y/3dc7p+q0FxohYm8X+SGjRgxQnfKKIs2duxYbc1JRC0Ho7xd07HUBcQuT/3ocLHDJVsqnLpAhk9AbNXRZYpvSGnA4AVGe43BDaQ0YFAD9XoRpMby6BY6yKGM2uDBgzXFAqPCK37fKJUbisWSniu2nF5izewS1jp4vR5xFm8Ux671tXm+6bliR/tie8vmGxNROwiAcWhqyZIlQS/HxDjswKIBO2HsBH/44QddsIO84oordEQCE9OMw3FE1PKQB9wdS4atviWzMTqMPOLNFU5dAHWHjWAYgTHyj6n1YbDCaEeMSW3GZDbMbUDQi3zclm6ggsfDY2PJyC8Q69xF4iorEHdlsSRZ7Tp6m4K0hSZGb13lBdrFzeusqs3z7TxQrJmBy08SUWKIKAA+6aST5NFHH5Vp06bV1701fpFj8hvaAN9zzz1Rra2Lxdw4AgXWFy1aJIsXL47a4xBR5HnIPbDUBcSVCIgRDNeNEm8sd+qSVB8QWyU31SIdUixaoYJaBtK6MLiA9AaM+BqT2dCkAkEn5njESw3P7JwOktZ1hHg6O8RZulWcuzdLTeFaqSlaL9asPEnp0Essqb41hd2OMnHsXKUBsyRbxN5lkNg69GKeLxFFFgCj6sIHH3ygVRD2339/DX7vvPNO7dKGChF77723XHPNNTHdzEh/wILJaEQUn5AXnJ6ZIj3rjjaXO410idplQ3mNbCgXDYizUXKtrg4xAmILA+Kow4RdI68X+baAI2lGZzYcYYtXyVa71uZNye0jrvKd4ty9SVyl23WxpOVoeoQlvYMGxgiUxesVW053Sek0QG9LRBRxAIx83G+//VarQSAfF6MJqIjQoUMHufzyy+Xuu+/W3N1oQPH022+/XQ/NIdg119fFJAlUm0D7YSKKf+g2h6VXZu0oZLnT80dAXOOWkhq3/F4mklwXEGMyHdImchgQNxvKUhpBL6o5AKosYAABo70tXXs3UqjWYMvK1wUjvQiEa0q2imPnGnFVFmkwjKAXo8aW1OhN1COi9iHiRhjo6/7II4/ogiAVeWOo4RjtCRLnn3++zgRGvd0zzzxTA961a9fKM888owEwSo8xACZqe7CvyEqx6NI7qzYgLqsLiNGlDtUmdpsC4hxT22YExMkxrhPblqE8JSaRIehFiTFAp07M38BILyaztQeoDOHNzBNXeaG4k7xa1izZmqY5v2huoekRaR1aezWJKI5Ete8k8sZiBRPqEAAjuH7vvfe08QYqUFx55ZU6GhyLOpFE1DoBMUZ9sfTJStGAuLTGU9eUw6WjwwiOAQUlcD2MDqM5R3ZKcsIHxOjIiY5sCHpxxAzbD7V2jfQG7ENbejJbLHlqKqQaeb4VRZrnm95nf02D8FTtkpqSzeIq26FLsj1TA2FrVldJSv6jMx0RJaaIAuC33npL/vvf/+qEN3/Y6aIRxOTJk3WyXKTQXhg7bjj22GNl9+7dWoECO3Qiat8BMUZ9sfTNShGPERDXtW0uqUudEKnRgBjpEkanumxbckI0o8H+FkfgUMEBwS/2l3je5slsVmtUxztandftFEfROnGWbNY8X2t2V63ukGytzV9OzszTSg8IkGt2b9K6v9U7fpWkwtViy+mpS7ItfnOdiSi2ItojPvHEE/XVH/xh54tRh8cffzwqAbC5EQZ25Ci+zuCXKPEg5QFBLhbsfRAQl9S1bEaqRHG1W4qq/xghRjBsNOXIamcBMQYCjLxeh8Oh52EOBoJetCOO1hyMeAv2EfTWFK0Vr9ulub72zoP1NJDklAxJzRsq9k4DxFm2vTZXeNfvmhqBlseoCmFNbx+pIETUQgHwr7/+KieeeGLQy/faay/56KOPJJqNMNBrfsyYMbqz/+yzz2T06NGSn58flccgorYZENeO+NbuztyeuoAYucMOBMMuKax26WUosZaLlIm6kmuZbTAgRkm5VevWS8GqjdpsCNCC3cjrxf/bK1dFkTgKV4nHUaF1gFO7DqlNaQjhNUyy2DQFAiO/7soiLaOGKhJYku0ZtaPC2d0kKbl9jZQTUWARfdIxkxgTKoLBCDDK7cSiEQZK95x22mnaCAMB8J577hm1YJso3h3+wdomr7O5vEZPlxZVNXn9z48bIO0FyqZ1TLXqAq66gNiYVIdgeGddQIwmHMaEOtQizrDFZ26sw+2RgiqXbKt0avpH7tp1ktmjti46Rnsx6tueIdBf+tMSqdryq0hSsqR0Qhm0vs3K5UWwjJFfLJ6ayto84dKt4ihYKY7CNWLL6SEpSI9ISY/JcyGidhAAY+LZggUL5LLLLgt4OS7DYbhoYSMMotBhcliax5vwndYw6tsp1aqLiF0D4uK60WEExAgssYg4JAXBc126BAJo1C9uLVjPnVUu2V7l1PQOb11KR9d0q+y5957SfdTYNjd6HS7kMq9atUoHP3bucog1K1/snQdFLXcXQW5ql8Hi1fSIbZoegXbJWCwZnWqrR6R3avfbmSgRRRQAYzLaP/7xD02DwGQ3s//85z/yxhtvBA2OAykvL5cLLrhAJkyYEPLt2AiDElF7GrFtjYC4S5pVFwTEzrqAGJPqcLpdg87agNhuMUaIa/OI0eEulpDPjPzlHZVOHaV2e2ubgyB4R+DbJdWqI9xdOrXvoAx5vps2bZLffvtN093QpGOfAftI2sraPOdow0gyRn2xuCqLa5trVOyUqooiDZLr0yMs8dEVj4haOQC+8cYbtR4vAuCDDz5Yc37hp59+kq+++kpHf2+66aaQ7+/pp5/W+zvvvPMiWS0iopAhDSIvzaoL1Li9sruuwgSW7ZUuXSBVA+LaYBitm1Mt0QmIMRq9vdIpO6pcGpADcpTz062Sn2aTFAz9Jgikuy1fvlzT5zD3A/M8evXqJWsL0KZ5W8wf35qeq4vHWa2T7ZwlW7SdsqNordiyuuqkOYu9bTUNIaIoB8AosfPdd9/JpZdeKh9//LHMmTNHz8fIxDHHHKNVIvLy8kK+P9T3RVvlI444otHrocMc6gI/9dRTQatQEBE1B4LNvHSbLkb+rbltM/JwsQBSJIwudTgNJyCucHr0fjDaW4Wh3rr7651pk67ptpiPNsdjpzpMrEbjDtQpHjhwoB7ha63ybUizQFm1lE79xVW2vbaUWskWXSzpubXpERnRb/pERC0j4j0Lfpl/+OGHUlxcLGvWrNHzsONCk4pw4Vf/DTfc0OT1EHDfc8898vbbb8t1113XrPUmIgqF3ZIsXdOx1AbE1QiIq2tbNhdXu2RrhVMXI4CtbcpRmzbhP3KL2xZU1k5mQ7e72vtPkj6ZKTrai7ztRIM8X3x3oLMnyl2iZvGwYcPippqFtlzO7q6Lu6pEA2FX+Q6pqiyWJFuqpk3YcrpLkiX4hHAiij9R+2mNgBflySJRVVUV0ogx2ndihPnTTz9lAExELQqjvN0ysNQFxC5PXbpEbdvmzRVOXSDDmqzd6ZDVgPJlRtCLuLh7hk26ptU27EjEUUTk+aJ+MUZ9UdUnKytLRowYEdOOopFCreG0tBzxuAaKs2SrpkigcgQactiy8mvTI1KzW3s1iaglA2AcvkLuFnZq/kJtU4wdH7oYhWK//faTJ598Muz1JCKKplRrsnTHUhcQI9BF7eH1pTWyqsQhRVUuQdiLhAaM8vbPTpH+2XatMoH840SEI4Y44odTlNIcOXKkNjlqKz8E0G3O3qm/pHTsK66ygtpc4dJtuljSOuikOWtWno4eE1E7DIAR7D7wwANaCWLbtm2N9qYPxahRo+STTz6RGTNmNHldNMQINVgmIoo17A/RiQ4T5jCZDWXMemTYZEB2iubzItZFDd8Kl1d+2VWt1R2yUpIlN8WqE+ow6Q0VKtozjPRixBctmxHsornR4MGDxWZrm9UVatMjuuriri6tLaNWtkPcVcskqdCuNYWxJFvbX0c+ooQOgG+++Wa59957ZY899tBKEAhKI/HnP/9ZLrnkEp1Qd/TRRzd6XQTcbXWnSUTtR1mNWwNeVHGorpvMhg5zXbNSNMUBI8Rm5c4/JtQhdaK0pkY2lNeWO0MOsNGYAwExSp61BxgEQY4vcn3xf6S6DR8+XDIz2081BaQ+WLoOF3uXQZoegQYbNUXrtO2yNTOvdtJckHbNRNTGAuCXXnpJDj/8cB21jcahq2nTpsmDDz4oZ555ppZDO/TQQ4NeF485ZMiQiB+TiChcyPvVesGVTimvy+tFibS+WSmSn2aVrEYms2Xa0ILZIr0ya0eNcXsjGMYIMrrW/V5WmzJhBMRo3ZyTYtG2z20NqjqsWLFC53gg4EXgG051oLYGk+GQGmHL7aNtlp0lm7SKBJbk1CwNhGvbNzM9gqjNBsDI+cXIb7TytlDu5t1339VGGEcddZQ2xbjqqqt0hNmA0YM777xTvv32W60EQUTUElCft6Au6EXAqvus5CRNc0CTCozYhrsvxPURLGPpnVUbEJc6PfVd6nbXBcXr6wLinLrRYXvxbsnr7tFyYfEKdXyXLVsmu3bt0qN1CHz79u0b1+scTXhtbVl5urgd5XXpEdulevsKSdq5ui49omfUutoRUQsGwMjd2rlzp0QTyt988803csYZZ8gzzzwjzz77rE6iw2iv0+nUiRN4TATFCI6JiGLZma2wCmXLXDqxrX4yW5pV8tNt0jk1uqOyCJow0oulT1aKPn5ZDapM1Hapw+iwpk/8sFhSNxVoRRyknmECcYcOHeJiEhk6t6GD28aNG3V9MLlt6NChOtktUaFxhiV/D60rrJPlkB6x63epKd4g1owuWj0CzTeIqI0EwKjBe8stt2ggmp0dvdIv2FkuWrRIXn75ZW128eOPP8qGDRv0MovFIieffLI8/vjjkpaWFrXHJCICjMLWNrxwSUGVs74dMUZeUQsYHeNaarIagmuM+mJByx8ExJhIZxnQX8psmXoUzhiEwBE0BMQIhhEUo31wSwbEqOG7bt06Wb16tdb2xXpg1Dea3w1tHVopp+T21oDXXVGoecKu8gJdku2ZYuvQU2xZ3bQ1MxHFeRUItDvGaOz555+vXdkQoPqbOnVq+CtmtWpLZCy7d+/W0QSkPwwYMIA7VCKKutKaP9oRO+oms2XZkqWbdoWzRq3tcaQBMTrOdevfT1J6DtSgE6XECgsL65eCggK9LtIOjIAYC+rsxiogRkUe5PlWVFRIenq67LXXXtrQggLD62DN7KKLp6aytstc6VZx7PhNagrXiDW7u+YKJ9s4yEMUlwHwueeeW///mTNnBv2gNycANsOhPSxERNFUhcls2trYpfV7Ia1uMhsC3wxb6we9jUE+LUZ7sSBNDIMEyLnFyLARDO/YsaM+IDbSJYyAOFKlpaWalobHwqAFBkNQ2ixR8nyjITklXVLzhoi984Da9AgEw8UbdbFmdK5trpHeMS7SW4jak4gC4Dlz5kRvTYiIWkCN2ys7qpyyo9KlE8wADSl6Ztg06EW6QVuFI3BdunTRBZCKYA6IEQwb9dORk2ukS+A0nJJkNTU1snLlSk1Nw5FAzNNA6prdznq3zZWUbNVRXyyuyl0aCLsqCnVBkIxA2JaN9Iio9a8iSmgRfZImTpwYvTUhIooRt8crO6tRwaF2Mpu3rh0x6vR2zbBJR3vbLDHWFIzKouSYUXYME4kRECMYRlCMEmVYIDU1tT4YxmlGRkaD+0PKxe+//y6rVq3S+0KKBdoXI9+Yovi6pXfUxeOsEmfJltqWywUrte0ygmBNj0hp+PoQUej4U5KI2iWMTKK27rZKp+ysctVPZkNN3a5pNunSgpPZ4gXSIPLz83UBBLHG6DCWLVu26AKYZGxOmSgrK9N0h/Lycr0MnTsxB4RiBznAqByR0rGf1hHWXOHdm3WxZHSUlJyeYsnowvQIotYKgBcvXiwLFizQkQWMEJghbwmVIoiIWkKJMZmt0iU1ntrJbCgrhlq9qOBgj4PJbPEUEGOymjFhDakNxugwTtGyGFUdMAkZbYwxFwOB7z777BNwhJhiA1UhjLbK7qrdGgijckRVxS5JsqVJCqpHZHfXKhNE1AIBMHaIKEmG1sUYbUGwi1Mw/h+rABi5bj169NDJd5FOsiOitg0T2LZV1FZwMCazpVuTpWcmmlTY9P/UNOQFY1QXC0aHf/nlF11wPnKEkVuMBhdffvmlBsDmHGLm/7YMS1oHSUvrIB5XdV16xBZx7FwtjqJ1YsvKr500Z498giNRexdRAIzgE8HvjTfeKIcddphMmjRJ2yNjZ3jvvffqaAJq+cZCr169tOQOKlE8+uijOgpNRInD4fboKO/2KqfWxoWU5CTpnWnTJhUY9aXwYeACI75oZoF9OKo6IM83NzdXBz2MdAmMEmMSnFGjHQGykS6BoDiRG1+0hGRrqtg7DahLj9ihecLOkq26IEjW5hqZSI/gjz+iqAfAs2fP1lbId911l+4MAaOyhxxyiAbEOEz2yiuv6OXRhokY8PPPP8unn34a9fsnovjjwmQ27cxW2464fjJbulUrOGAyG8tFNR8CW+T5orwZJsWhni/26cY2xXk9e/bUBSorK31yiLFfNvbNaIBhnlSHdAuKPgS4mBiHxV1dUpseUVYg7m2/SJLVXttcI7u7JFtZoYMoagEwfvkb7YiNuo8YMQDs7KZMmSKzZs2KSQBs2HPPPXUhovYJ3c+Kqt2yA5PZqv+YzNYpFUGvVTqnWsWSYJPZog1H09DIAiXSsC8fNGiQDBw4UKtINAZNL7DgiJxxP+aAeP369boAKkWYA+Km7pvCZ0nNkbSuOeLp7NDGGpgsV1O4VmqK1os1K0+rR+A6RBRhAIwcMGNkAEXVseM0uhABdnJGiR0ionDsdvzRmc1ZN5mtQ4pF8tOtkp9mkxQM/VJEUCcYk9zQwhgTmLt16ybDhg3ToLa53wlYUBcYUDHCPKkOj4MF3xsIiI2UCaRXMCCOHoz22jv2k5TcPuIq36npEa7S7bokp2ZrIGzNymd6BCW0iALgvn37ypo1a2rvyGqVwYMHy0cffVQ/Ke2zzz7THWo0vPnmm7LvvvvqqAQRtU/lTgS9Lh3traprR5xhTda8XkxmS+Nktqjl+W7atEnzfB0Oh6YrIM8XgxbRhLxgLPiuwGMaAbERFKPNPb5DEBAjCDZGiPF/THSmKKRHYGJcVr64HWW1XebKdkj19uWSVLhaUyOQIoF8YqJEE1EAjElv77zzjjz88MP69znnnCMzZszQw2jY2X3zzTdy/fXXR2VFr7jiCu15j1GDvffeW4NhY8HOlYjapmpjMlulU8qctZPZ7JYk6ZOZorm9WZzMFlUoV7ls2TKt5oCJaqNHj9YUhljnTuP+caQQS79+/fQ7ArnGxugwTrFuGJHG0UT/gJgig8oQlvxhYu88SNMjapAeset3qSneINbMuvSItA7czJQwIgqAp0+fLocffriOIKAEzv/93/9p8IvKD/j1fskll8itt94alRU1Dp+h2sMPP/wgixYtkmeeeUZ3oOhGhEAYFSmIKP4hpaGgqjboxWQ2QFOK7hk27c6Wy8lsUVdVVaV5vkhLQ4A5YMAAzfVtrclpRhoEFlSaQECMoNwIho0FXeewvpWSJY5dHrGm5ephfFY3aOZ2t9g0NcLWobe4K3ZKDdIjynbokmzPrEuP6Kq1h4nas4gCYKQ3mFMcsJN65JFHdIkF7CSxnHLKKfXnYbQAwTDLoBHF/2S2wuravN7CKpdgrBdTZ7sYk9nSrO2yHXFrc7vdmmaABXm+aHqBPN94a2SBgBiNNrAg1Q3rag6It63dITWFhaLTrJMtYknLEWtaR7HUB8R874S7vTHyi8VTU1HbZa50m1Tv+LUuPaJHbXqELS1WLzlR2w2AMdI7YcKEoCkIKIczb968qDSqOP300+tTHlBeDYfRACMYWFBxgojiC0b1dtegHbFLR3xRxgwwwoucXnRms7GCQ8ygrTFGfVG/F/vM4cOHazOLtsBIg8CCfXzHPtWS/uNKcVXuEndVsbgrd4u7YlfdlREQdxBrel1AbM9iQBzOtk7JkNS8odp2GUEwcoWRGlGbHtFFbDk9xZoR3fxwojYdAE+bNk3r/AYLgNEeGdeJRgD8r3/9S7777jsdDUCpNYwQmPOAkRfc3JnLRBRdZTVurd6A0d7quslsmbZk6ZaVIvlpVknlZLaYwuQy5Pli3gRSHEaOHCl9+vRp00EhAmIEuUaeqtfr0bbAtcFw3VJRW48+yWLVQFiX9FxJTsls08+9pSQlWzUFAgGvu3KXBsKoIoElOSVdm2ug3jCuR9TWRfQuNtoeB4NWmkZ94Ejdcccd8vjjj2tbZeQdL1myRNMeXn/9dZ14h3I+eDwiah3VLo9sR5OKCqdU1LUjTrUkSd+s2slsmTbmFMb8Naiull9//VU2b96sAR8mmw0ZMqRdNqFADjBGfLFIJxGvx/1HQFxVLK6KQg3c9LoWW30wrKf2zNZe/fhPj8jopIunprK25XLpFnEUrBRH4RqtHoFAGUExUVsV8c+4YL+qMQLx3//+N2pl0BD4YiT56quvlldffVWeeOIJOf/88/UyBL4Y7SCilp/MhpJlKF2GVAdjMluPDJt2ZstJSebIWwvl+WKSMOZE4P9Ic0C6g5EqlggwacsI2sDrcdUGxJXF4tKAGCOZtXXqk6wp9QEx8ogZyAWHbWPvMkhSOvUXZ1lteoSxWDI6SUpOT7FkdObnnNp/AIyR2DvvvLM++D3rrLN0aaxSRLTgEN57772ntYYvuugiTXvAhDsE2WjZSUSx5/ZgMhvSG1xSVP3HZDakNuSn26RzqoWT2VrQtm3btH0xqjxgYhsC3/z8fEl0OExvzeisC5oAe91ODYgRDOPwvlH5wKEBsV0DYitGiNM7cuJXwO1p0WAXi6uyuDY9omKnVFUU1aZH5KDlcjcdbSdqlwEw2g5jJBbpD5gEN378eK3MYIbAGMXPx40bJ2eccYZE2zHHHCOHHXaY3HDDDXp4D7nBKOJORLGBz/su7cyGyWzO+nbE5slsGPmlloMSkDjyhQoJSHFA4Iv5GNFKO2tvEJhhQhcW8LprxFVppEwgIN6ui17Xlqrl1mpTJhAQs1GEGX4oYPE4q7XLHFIkHDtXiaNordiyumquMNNMqN0FwJMnT9YF5s6dqyO8xx9/vMQa8tqWLl3qs6Bo+qhRo7jDJ4qR0po/2hE76iazZWEyG4LedKukWhhstTSH2yNLV/wq2xy/6mADjowNHTpUm1pQ6JIsKWLLytMFPC5HXcpEbZUJrYZQuq32ura02tFhlF1L78DOaXXwwwCVI5AegR8PWkoN+cIlW/THgy2nl/7g4AREanc5wOvXr5eWghFe1K7805/+pCkXGIlG62V+sIiiqwqT2SqdWrqssm4yW5olSfrpZDabZNgY9LZWHeVN5U5ZV+qQ7C1bpeuQkbpfRBtjilyy1S7JdW2DdXu7qmtLrVUhIN4tzpKtuuh1U9LrcohRdg0BMZIsErzlMtoqZ3cXd1WJBsLIt0b+NUbTbTk9JCWnh/7oCDiZ3uNENM3vc2o7AfCOHTu0q5A5/xZde/72t7/pYblzzz1X/vznP0djPbU4OvLcUNYH/esx2WPMmDFaExitMomo+WrcXtlRVTuZraRuMhvq8/bKRGc2m+TYWcGhNe2scsnqEof+IMGPkX1GjZQ++xzQquvU3iVbUyU5u6vYsrvq3zjcX1tybZfmERsjnXpde0Zd2TVUpegQMNBLFGhQkpaWoyPqxjaqKVwrNUXr9ceFpkekZovHWSWVGxdI1dal4q4uEUtqjqR1HyXpvfdjDjbFfwB87bXXanch1Ps1ctKQE7xzZ23pmQ8//FA+//xzOeSQQyJeUQTUGHFGG2Qsc+bMkYceekgfE33sUQv43//+d8SPQ9ReYGTF6UEgG7haCyaz7ax2ybZKp+yqdgsSHCxJoq2Iu2bYpKOdk9laW7nTLat2OzT/Gq/NgOwU6ZOVIt3yaw/bU8se7k+2ddOJXoAAzgiGMdLp3L1ZF72uPVNHh61atzg3ISeGYVTc3qm/pHTsK66ygtpc4bq0EowKV25aLI7C1eJ1VmqKSc2u9XV5xOskd68zGARTfAfACHzPPPPM+r/feOMNDX4/+eQTHRVG4IsgNRoBMKCmJRa2QiZqPIVhQUGlLC2s0tHcnBSLjOqcJvvlpWtd3iKdzObUUUVjMlvHVIvm9XZO5WS2eBmRR6rDlgqn/jDBazMgJ4U513EELYKTc3ro4X1AvVwX0iXq0iacxRt1kaQkDYi1bbPmEXdIqEYStekRtSPp7upSrR5RuuoLqVj/jQbCKbl9xZKWjaRscZVuk6otP4m90wDJHDCxtVed2rmIUyB69+5d//f//vc/LU12xBFH6N/nnHOOlikLVXl5uVxwwQXaXvmyyy4L6TZshUzkG/y+sbpYfiyskkqnR9KsSbK+tEaW76qSBdsrZO8uafWjwQiM0aACFRzsnMwWN3m+CHrXltZo2+gOKRYZ1MGurxXFN+QFp6AxRE5P/dtTU1Hbthkd6qqKpaZ6g0jxBg2IkQJQ36lOA+LEeH3xvJPzh4ms/FSfsyW9k3iqd4unukR/SFizu4lj2y9StXWJZPSfwJxgit8A2GKxaFtiw9dffy1Tpkyp/7tjx46auhCqp59+WmbPni3nnXdeJKtFlLAw8ovgF3mivTJSpMLl1bbEBVUu+WFnpWTbLXJkryydzJbOdsRxBTWVV+6uzfO1W5JkaMdUfZ2obUpOyZCUlAyRDr00HclTU14fDNcuJSLyOwrs1gXEHWon1aXmtO+A2OPUHwdoomHP7SMeZ4WOnmvedJJIUkq65gTrxLgEzqWmOA+AUf/3448/lksvvVTmzZsnBQUFMmnSpPrL0Y4zNzc35PtDk4uDDjqofgQ5mLvvvluD7aeeekpTIoioNud3ad3Ib/8su2yucGmnNuSO9s2yycZypzjdXq3mwOop8QMBL/J80VwEr1V/5PlmpoiFdZXbDXzeLPYsXSS3d21A7Cirm1RX26kOlSZkV11AnJZjGiHO0TSCdiPZpkE+cn694tUfClgA28VbU6mX43pEcRsAT5s2TVsToxTPli1btCMbGlQYFi5cKHvssUfI94cqD2hu0RQE3Pfcc4+8/fbbct111zV7/YnaE0x4Q84v0h7whYu8XnxtptWN9O6u8ejluB6PqLc+/DhZX+rQ0mbI88Xkw4E5dknlyHy7pwExRn1Ts0Vy+9QFxKV1wTDKrpXo/xVSBXBdnVSXK8mp2W06IMZzR7UHTHhDzi/SHnAetgH+Rr50WvfR/JFO8R0AX3nllVqF4Z133tHc33vvvVdSU2s75hQWFuokuf/7v/8L+f7QyjMvr+nZzUitQDe4Tz/9lAEwUR1Ue0CuKHJ+8WWSYQqk8Hely6uXs4xv6/Ka8nwRBGenJMvgnFTpwFJzCR4Q5+iSIn3F6/WIp7q0vm2zERDXGAFxWk79pLpkOwLittWFEaXOUO0BE94c25dpFQiM/Grw22MvSe89trVXkRJAxFNRb7rpJl38oTavUQ4tVLjN9u21rSibst9++8mTTz4Z1v0TtWf4EkS1h1UlDm1i0S3dWj+ygr8zbckyuvMfk+Co5RU7avN8y50eSUlOkmG5qfWvE9Efn2WkQaCEWgeRjv00INYg2MgfRqWJil21V0621LVtrmvKYc+K+/cTKmig1BmqPWDC2x91gEdr8IvLiWItrmqxoK0xSqjNmDGjyet26tQp5GCZKFGg1Nm6Eof8VFgly3Y5NB0CI78IfvfqnCZj89JbexUTtjoHGllgMiLG5ftmpehiZZ4vhRgQoxUzFvB63Bo01o4O7xZXZZG4Kgprr2ux+napS8mMy4AYQS5KnaHaAzvBUdwHwC+//LKenn322fqBMv5uytSpU0O6HrrGXXLJJTqx7uijj270utu2bRObjUnyRGbI9z1jUK4MyLHLElMd4NF1wa+RD0wtA6XMfi+rkY1lNYKm0ig5NyjHzteBIoIqEVbkBKd3/CMgrtpdP0KMYNhVXnsEFk04agNiBNAd6yecxQsNzlntgVpBklcbcYcmOTlZ36zI1U1JSan/u7G7wOVud21r1aa4XC4ZPny4pk6gHNqhhx4a9LqoFVxdXa0T7dobTAbExMJly5bp9oi1ms1rZNuMyTF/HIqvTnAU222PtJM1JQ6p8dSOwA/pYJdce3QOunW7931J6TlQEsmaHTUy+bFtrb0abYLX46oNiOsm1Xmqy+ovS7KmaMtmS3oHzSNG/WKiWHn/ym4yMD8+y9mFtTdG+2FA8Gv+O2orY7XKu+++q8HtUUcdpU0xrrrqKp9KEgim77zzTvn222+1EgQRBYagl9UeWt5uh1tWlVRLaY1HbMlJMrSDXXpk2PgjhFoMOs1ZMzrrYkdA7HbWjgxrULxLXGXbdXFoQGyvHR2uS5tg/i0lirAC4IkTJzb6dzQMGzZMvvnmGznjjDPkmWeekWeffVa7zQ0ZMkScTqeOjmKEGEExgmMionhQ7fLoiO/2Kpe2l+6daZN+2XYNgolaE9IgrJl5uoDXXSOuupbNGhiXbtdFr2tLNU2qy5VkW21lJ6L2Jq4mwRmGDh0qixYt0hxjNLv48ccfZcOGDfXd504++WR5/PHHJS2NM0WJqHW5jTzf8hpxe0U6p1plcAc7O+1R3ELXNVtWni7gcTnqUiZqA2Jn6TZdACkStRUpatMmkq0MiCmBJ8GFK9RJcP7pEGiJjGX37t2yceNGTX8YMGCAZGdnN2s9iIiiaXulU6s7ONxeDXiR59spNS7HFYiCSrbaJTkrX2xZ+fq3x1VdW2qtape4KovFWbJVl/qAuG50GFUptIUxURsU1p763HPPbTDpzTy5xjjff8JNcwJgsw4dOuhCRBQPUF1j9W6H7K5xaymzIXV5vsmcbEjtAEZ5k7O7ii27q/7tcVbXpkvUtW127t6si17XnqGjwwiGERQj3SIcGjd4nNr6mJN1Ke4nwZmrNqB18datW+Xyyy+vr1iA6gVoUtGjRw/529/+FtJ933///ZrTa3SSCxUqUvzjH/+Q66+/PqzbERGFq9rtkbUlNbKt0ql5vr2Q55tllxQL83yp/UIecLKtu9iyu+vfHmdV7WS6ytqya87dm3TR69oz69s2I3UiWECM+6jcuECqti41NcIYpV3iOBGP4n4S3MyZMzU9ARPTzCO0kydPlksvvVTGjh0r33//vRxyyCFN3vcDDzwgjz76qFx22WU6YtyrV69Gr79u3TpNycBEOaRGMAAmoljxeL2yoaxGc32R59vRbtE830ybhRudEg4C1OScHmLL6aF/e2oqtdya2wiIizfqIklJ2pmudlJdXUCcbNXgt/inN6Rq84/icVZqK+SaXevFsXOVtkhGlzgGwRRrESWrPf/883LRRRcFTE/o2LGjnH/++fLPf/5Tbrzxxibva/Xq1XLbbbdpiTOcYjR53LhxMnDgQO36hsMkRUVFer3vvvtOfvvtN80TRqB9++23R/I0iIiCKqjL862qy/NFI4suaczzJTIgLzgF9YRzeurfbkd5XctmBMS7pKa6VKR4gwbEltRscexcLRUbvtf/2zv1r0+tdJVuk6otP2mLZHSJI4qliPbiSH2w21FlMDBctmXLlpDuC0E0RoARLKP02b/+9S+ZNWtWwOsiOL7jjjvkwgsvlPz82qR9IqJoKqtBPV+HFDvcggwHBL5IeWCeL1HjLEiDsGeKdOilga2nprx+dNhVuUsqNizQYDfJYtdTHVFOzRZrdjdxbPtFqrYu0RbJzAmmuA2A+/btK2+++aZcccUVDdoS19TUyBtvvCF9+vQJ6z4R0N5yyy26FBYW1tf9hS5dumjw27lz50hWm4goqBq3V9aWOmRrhVMwrbd7hk0GZKeI3cI20kThQhBrsWfpIrm9teRa2eovxZLRWUeOvag44arW0WCMECelpGtOsE6MY4UJitcAGPm611xzjeYGX3fddfUd21asWCEPPvig1u995JFHmn3/CHRj0WyDiChQnu/mcqesK6sRl8cruXaLjvpms50eUXRrEGd2EVfpFrFm5UuSJGljDkm26Gixt6ZSJ8ShKgRR3AbAqNqANAgEu6ecckqDy6dPn85ubUQU93ZWuTTPt9LlkTRLkgzrmCp56fwCJorFiDCqPWDCG9IfkPaQZE2pzwFGFYm07qOZ/kAxF/FMDpQ5Qy7uu+++K2vXrtXz0KzihBNO0Als0YJ0CEx2KygokClTpuj9GzDiPHv2bJ08R0QUqnKnW1btdsiuujxfpDr0yUphni9RDKHUGao9YMKbY/syrQKBkV8NfnvsJem9x3L7U8xFZSozAl6kQMQSKkqsXLlSRo4cKWeeeaYGvAi4UQYNAfCoUaMYABNRSJwer6wrdWjKA/J8u6ZbZWCOXVKZ50sUc5j0hlJnqPaACW9/1AEercEvS6BRS2gztXy+/vprDYAxEe69997TWsG5ubly5ZVX6mhw7969W3sViSjO4TDr5gqnrC2tzfPNSamt54tTImo5CHJR6gzVHtgJjlpDmwmA0XUOwS8ce+yx2oBjyZIl2m2OiKgpRdUuTXeocHnEbkmSoR1TpSvzfIlalZY6Y7UHagVtJgD2eDyyYcMGLauGBhjZ2dkMfomoSZjYhsC3sNolKGTWLytF+maliCWZ7YuJiBJVmwmA0VSjf//+2hVuzJgx4nA45LPPPpPRo0ezGQYRBczz/b20RjaV14gHeb5pdXm+VtbzJSJKdG0mAEYb5PXr18sPP/ygS3V1tZx22mlSWlqqAfCee+4pH330UWuvJhHFQZ7v1kqXrClxaBCcZUuWIR1SpYOdeb5ERNTGAmDo16+fLuaaw6tXr5ZFixbJ4sWLW3XdiKj1FTtcsnK3Q8qdHklJTpJhuanSLd3KmqJEROQjro4FotYvRnTDMWjQIK0L/NBDDzWrhjFGkXEfycnJmlvcHJWVlXLDDTdoa2ikauB0xowZej4RxV6VyyNLi6pk8c4qqXR6NMf3gK4Z2sZYJ9kQERFFcwR44cKF8o9//ENWrVqlaQo4/GiGLx+jQUZTLrjgAqmoqJDPP/+8fnT3vPPOk/nz54vNZtMawBj9veSSSyQrKyvSVdcgtUOHDrLXXntJeXm57Ny5M+z7cLvdcswxx8jcuXPl7LPPlgkTJmh1igceeEC3DZ4Lgmsiij6UMvu9rEY2ltXm+XZJtcqgDnZJZ54vERHFKgB+/fXXNejDyOmQIUMirsWLQNdoqIHA8qSTTpLly5frRDen0ylLly7V/N8nnnhC3n//fT0/EmvWrNEmHnDwwQc3KwB+6aWXNPhFPWL8EDBgFBjP5dVXX9WaxUQUPfihvR15vqUOcbi9kmlLlsE5dumY2qayuoiIqJVE9G0xc+ZMbXf8v//9T3r27Bnxyuzatau+osO8efNk8+bN8tNPP2mXN0B6xGuvvaYjt0cddZSOtObl5TX78YzgNxIvv/yynk6fPt3n/Msuu0xuueUWvZwBMFH0lDjcsrKkWkprPGJLTpKhHezSg6kOREQUhoiOza9bt04DvWgEv4Davmh4AZ9++qlceOGF9cGvcfmll14q3333nZSVlcn9998vrT0KhQl43bt31/rEZmlpaVqZApcTUeSq3R5ZVlQli3ZWSlmNR3pn2jTPt2dmCvN8iYio5UaAu3btqg0qoqVXr16a8gBffPGF3HrrrQGvN2zYMM0XRhrEgw8+KK0FI9aY6DZixIiAl+OHAdI6MHKN4D2QgoKCBqkXSM0ApH1giTWX2y1ua0rMH4eoOdwer2wsc2iur8cr0ikjVQZ1SJUMW21ZM3cCblZ8ZpNaYN8QT9xul6QkJ+KrTdS2P7dOZ8tMRMZcsRYLgHFo/+2335a//OUvEg2TJ0/Wag4bN27U1Idvv/1Wjj/++IDXHTp0qDz99NPSmowqD6j8EEhqamr99YIFwE8++aTccccdAS8rKSnRiYWx5iyrlPIu/WP+OEThKiivknWFZVIt6ZLeySoDO2VpAIyptuUJvDmLyirF1gL7hnhSWeqU/lmJ/KoTtT2VpUVSlBxeYBrJoGyLBcCYAIeR2uOOO06DYNTotVgaFpsPdXIccnsxYoqgGqOqmzZt0jzjm266qcEhzq+//loyMzOlNaWnp+sputIFgmYd5usFghQSc11jYwT4hBNOkJycHO18F2tOR4k4d66L+eMQhaqsxi0ri6ukpMYttqQkneDWMzVFkivLRFhdUDplpYutBfYN8aTE45R1ZYk16k3U1qVnd5JOnVomAA5XRAEwKj8gMEUubGNd2FDRIRQYMUV7Y0x+QySP0mQoK/b8889rRYjhw4fraCse680339TzWlPHjh01uMX6BoLzMfIbbPQXMIkv2EQ+DOeHO6TfHF6LRSyumpg/DlFTHG6PrC2tka0VTsFP3t4ZNumfbZcUS5KIm8GPwWqxtMi+IZ5YLF6p8bCbH1FbYrFY43ZfFVEAjBzdWBSZNybVoUYvSoxh4tvDDz9cfzkCbowqt/YkODz3fffdVytWbNiwwWciXFVVlfz8889ywAEHtOo6ErUFHq9XNpY7ZX2pQ9xekVy7RYZ0sEtmXZ4vERFR3ATAt99+u8Rabm6ujvbee++98s033+ikMUyWQ9oFKi20FOTxIjcZaQndunXzSQNBAIzcZXMd4KeeekqDYFxORMEVVLlk9e5qqXJ7tYHFwBy75KWxni8REcVOm/mWQX4xlmh65ZVXdOQWcIqRZeQcG26++eb6/6Or26RJk+Scc86RF198sf78adOmaa3fxx57TCetGZ3gMLkNzTXOOuusqK4zUXvK811V4pBih1uQ4TAoxy69Mm2SzNbFRETUFgJg5PiuXLlSy4IFKouGoDAePffcc5piYYbmFYEC4GAw6Q85yXfeeae89dZb8sYbb+gIMRpjIEUk0KRAokRW4/bK2lKH5vmimkP3DJsMyE4Ru4Utw4mIqI0EwKjDe8899+joZ6ST4FraV199FfJ1MZqLEeJAUI0C+citnZNMFO95vpvLMZO/Rlwer3RIscjgDnbJTuGPRCIialkRDbkgFeCvf/2rjBw5UlMHECBec801ct1112nu7pgxY7SCAxEltsJql3y/o1JTHqxJIiM7psq+eekMfomIqO0FwMhzRZCLNIKLLrpIz/vTn/4k9913nyxdulTWrl0brfUkojaowumRnwor5efCKi1xhlSH/fMzJD89PsviEBFRYogoAF6xYoWceuqp+n+jHJqR7tC9e3cNih999NForCcRtSFOj1dW7a6W73dUSFG1W7qmW2X/rhnSL9suluSWaYtJREQUsxxglAUzdzsrLi6uv6x///46OY6IEgPSoDZXOGVdaY0GwTnI882xS46deb5ERNRORoDRsMIoI4Yubqh+8MMPP9Rfvnz58ka7oBFR+7GrLs935W6HYJB3eG6q7NsljcEvERG1rxHgAw88UD7//HO566679O/JkydrM4iMjAwth4ZmECeeeGK01pWI4lClyyOrdztkZ7VLf1H3zUrRxcpUByIiao8B8CWXXCLvvvuudjxDVzYEwgsWLJA77rhDLx8xYoROiCOi9gelzH4vq5GNZTWC6t/5aVZtZpFqZT1fIiJqxwEwKkBgMXTq1EkWL14sv/zyizaAGDp0qCQn88uQqL3l+W6tdMnaEofUeLySZUuWIR1SpQPzfImIKJFbIaMuMBG1P7sdblm5u1rKnB5JSU6SPXJTpXu6tb4KDBERUcIGwETUvlQjz7fEITuqmOdLREQJFgD369dPUxp+++03sdlsWuasKRgZYkMMorbJ7fHKelOeb5dUqwzqYJd05vkSEVGiBMB9+vTRgNY43Nm7d28e+iRqp3m+2ytdsqbUIQ63VzKsyPO1S8dUHjQiIqK2L6xvs6+++qrRv4mo7StxuGVViUNKatxiS07SwLdnho0/domIqN3gcA4RqWq3R9aUOHTkF8d4emfatHUxgmAiIqL2hAEwUYJDnu/G8hqt6ev2inRKRfviVMmwsYQhERG1TxEHwAsXLtTub6tWrZKioiLNHTTjJDii+LWj0qnVHardXp3YNriDXTozz5eIiNq5iALg119/Xc4++2yxWq0yZMgQnRRHRPEBP0adHhEM5PrX6S2tccuq3Q7ZXePWlsWDc+zSM9MmyaznS0RECSCiAHjmzJkycOBA+d///ic9e/aM3loRUbNVuTyyoKBSlhZW6US2nBSLjOqcJvvlpQvSedeW1sjWCqfm+fbIsMmAbLukWJjnS0REiSOiAHjdunVy3333MfgliqPg943VxfJjYZVUOj2SZk2S9aU1smp3tSwuqJThHe1iTU6WXDvyfO2SlWJp7VUmIiJqWwFw165dxeNBeXwiigcY+UXwm2ZJkv5Zdk19KHe6ZU1JjXy/o0LSrUly0oBcyUvj/FciIkpcEU3znjp1qrz99tvRWxsiiijnd2ndyG+3dKs4vSLbKp1SUIU0iGSxJCeJw+OVLqkc9SUiosQW0TAQJsB98cUXctxxx8lf/vIXbZVssTT8cuXkOKLYw4Q35Pwi7QEjvzsqavS8rJRk6Wi3iNtbI2U1Hj2PmQ9ERJTIIgqAUfkBX7QYefroo4+CXs/tdkfyMEQUAlR7wIQ35PziM4lyZqjqYLfUfkYrXV69nOV9iYgo0UUUAN96661sj0oUJ/BjFNUe0MZ4W6VL0yCMH6j4O9OWLKM7p/EzS0RECS+iAPj2229P+A1IFE9Q6mxdiUN+KqySZbscmg6BkV8Ev3t1TpOxeemtvYpEREStjlPBidqRNGuynDEoVwbk2GWJqQ7w6LrgF5cTEREluqgEwFVVVbJ+/fqArZBhwoQJ0XgYIgoBgtyJ3TNlQreMoJ3giIiIEpk10sB3+vTp8vzzz4vT6WxwOYJhfPFyEhxRy8Nnj9UeiIiIohwAo/TZs88+K0ceeaQcfvjh0qlTp0jujoiIiIgovgPgd955R0455RR56623ordGREREREQxFNGMmPLycjn00EOjtzZERERERPEcAI8ePVo2bdoUvbUhIiIiIornAPi2226TZ555RjZs2BC9NSIiIiIiitcc4IULF0r//v1l+PDhcuKJJ0q/fv3EYrE0mIl+yy23RLqeRERERETx1Qnu1VdfDXgdBsBERERE1G4CYDS/ICIiIiJKmAC4T58+0VsTIiIiIqJ4nwRHRERERJRQI8CANsfvvfeeLFiwQHbt2iUej6dBDvBzzz0X6cMQEREREbV+AFxcXKyNMJYsWSJer1eDXZyC8X8GwERERETUblIgbr31Vlm2bJnMmjVL1qxZowHvJ598IitWrJBTTz1Vxo4dq6PCRERERETtIgD+8MMP5eyzz5bzzjtPcnJy9Dyr1SpDhw6VN954Q2w2m9x8883RWlciIiIiotYNgLdu3aqjvEbgCw6Ho/7yP//5z5ofTERERETULgJgjPpWV1fr/zMzMzUIRlBsSE9Pl6KiosjXkoiIiIgoHgLgAQMGyKpVq/T/aIE8YsQImT17tv6NahD//ve/pXfv3tFZUyIiIiKi1g6ADzvsMHnnnXe0FBpceuml8tlnn2lgPGjQIJkzZ45ccMEF0VhPIiIiIqLWL4N2/fXXy1lnnVVf+uzCCy+UyspKefnll3VE+JJLLpHrrrsuOmtKRERERNTaATDyfocMGeJz3tVXX60LEREREVE8YitkIiIiIkooEbdCBjTBwGQ4VHww0iHMpk6dGo2HISIiIiJq3QB4x44dcu655+rENwgU/KIVMgNgIiIiImoXATAmuX3xxRdy1VVXycSJEyU3Nzd6a0ZEREREFG8B8Oeffy5XXHGFPPLII9FbIyIiIiKieJ0El5qaKkOHDo3e2hARERERxXMAfPjhh8t3330XvbUhIiIiIornAPjBBx+UefPmyUMPPSQ1NTXRWysiIiIionjMAe7Ro4fce++9cuaZZ8oNN9wg3bt31w5w/lUg1q5dG+l6EhERERG1fgD8yiuvaBm0lJQU7QjHKhBERERE1K4D4JkzZ8rIkSO1DnBeXl701oqIiIiIKB5zgDdu3CgXXnghg18iIiIiSowAuH///lJaWhq9tSEiIiIiiucA+Oqrr5Z//vOfDIKJiIiIKDFygNEIo3PnzrLHHnvI+eefL/369WtQBQKmTp0aycMQEREREcVHAIwKEOYJcYGgDBoDYCIiIiJqFwHwnDlzorcmRERERETxHgBPnDgxemtCRERERBTvk+DMHA6HbNmyhS2RiYiIiKh9B8A///yzHHrooZKVlSW9e/eWb775Rs8vKCjQ87/44otorCcRERERUesHwL/88oscdNBBsnr16gYT3dAZrrKyUl5++eVI15GIiIiIKD4C4FtvvVW6du0qy5Ytk7/97W/i9Xp9LscI8IIFCyJdRyIiIiKi+AiA582bp62Qs7OztdyZP6REbNu2LZKHICIiIiKKnwC4oqJCcnNzG73c4/FE8hBERERERPETAPft21eWLFkS9PKvv/5aBg8eHMlDEBERERHFTwB80kknyUsvvSQ//PBD/XlGKgQmv73//vty2mmnRb6WRERERETxEADPmDFD+vfvr5UgTj75ZA1+77zzTtlzzz1l2rRpsvfee8s111wTrXUlIiIiImrdADgzM1O+/fZbufTSS2X58uVaBWLu3LmyceNGufzyy+XLL78Uu90e+VoSEREREcVDK2RAA4xHHnlEl8LCQp301qVLl4BVIYiIiIiI2nwAbNa5c+do3h0RERERUesGwEhtMOr7mv9uinF9IiIiIqI2lQOMsmeY9FZTU1P/d79+/Zpc4tk777wj48aNk4yMDK1pfPzxx2tnu1C8+OKLmuoRaNl3331jvu5EREREFOMRYLQ+RnBntVp9/m6rnnvuObngggtkxIgRct9990l1dbU89thjcsABB+jkvpEjR4Z0PzfeeKPssccePud16tQpRmtNRERERC0WAN9+++2N/t2WFBcXy7XXXis9e/bUYBftnOHUU0+VYcOGydVXX61VLEJx+OGHy8EHHxzjNSYiIiKiVi+DFgqXyyXxCE06SktLdQTYCH6NfGXUNJ4zZ45s2rQp5PsrLy8Xh8MRo7UlIiIiorisAmGGcmjoEjdz5kxZu3atxJsFCxboKdId/OE8rPuiRYukV69eTd7X5MmTNZiGgQMHyoUXXqijy0aqSGMKCgpk586dPuetWbNGT51Opy6x5nK7xW1NifnjEFH0PrNJLbBviCdut0tSkt2tvRpEFObn1ulsmVRZm83WMgHwTz/9JKtXr9Zc14kTJ/oEe2+++aamR6xatUrrBMejzZs36ylSIPwZ5xnXCSY9PV1TJg477DDp1q2bbNmyRV555RW5/vrr5euvv9ZR5uTkxgfZn3zySbnjjjsCXlZSUiJFRUUSa86ySinv0j/mj0NE0VFUVim2Ftg3xJPKUqf0zypv7dUgojBUlhZJUXJ4gWlzde3aNbYBMCaKnXjiifLpp5/Wn4dqEJ9//rmkpaXJ6aefLt98841WVbjhhhtk+vTpEo8qKyv1NFCnutTUVJ/rBIPgF4vZRRddJFOmTNEfAf/61790ezTmsssuk1NOOaXBCPAJJ5wgOTk5LTKZzukoEefOdTF/HCKKjk5Z6WJLsIm2JR6nrCtLrFFvorYuPbuTdOrUMgFwuMIOgB944AH55JNPZO+995ZJkyZpsIaRTrQ+xogp/v6///s/+etf/yodO3aUeIXRWwiUt4sg33ydcKAqxm233aYB8IcffthkAJyXl6dLsOH8cIf0m8NrsYjFVVvajojin9ViaZF9QzyxWLxS47G09moQURgsFmvc7qvCDoBnz54t+++/vx7iNw7voxwacn27d++uqRFDhw6VeGdOc/AvYdZYekQojNrHyO8lIiIiojZeBQIT2nDY35zbikP+gNzXthD8wtixY/V0/vz5DS4zzhszZkyz7hu5z83JRyEiIiKiOAyAq6qqpEuXLj7nGX8PGTJE2grk2GKC3qxZs+orOBjtnTHKjbq+RgUI5AL/9ttvsm3bNp/7CDRBDWXfZsyYUf8YRERERNSOy6CFUvYrXqDtMfKZL7nkEjnwwAPl4osv1nxgdIJDHu/f//73+usuXLhQ853POeccbX9sQKe4gw46SE9RBWLr1q2a+/vrr79q7u+f//znVnp2RERERBRMsyJWTHr7/fff6//GCCmCxtdee02+//57n+vifGNENN4g6EWVBQTCmLSXkpIi48ePl7vvvltGjRrV5O2R+jF37lztGIeSZah8gdu98MILGiy35TbRRERERO1Vktfr9YZzg6bq2jZ4gKQkcbtZvDwcy5cvlxEjRsiyZctk+PDhEms1m9fIthmTY/44RBQd3e59X1J6DkyozblmR41Mfsw3DY2I4tv7V3aTgfkp7WMEGC2CiYiIiIjaqrADYHR9IyIiIiJKmCoQRERERERtGQNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSCgNgIiIiIkooDICJiIiIKKEwACYiIiKihMIAmIiIiIgSSsIHwO+8846MGzdOMjIyJDc3V44//nhZtmxZyBuwsrJSbrjhBunbt6/Y7XY9nTFjhp5PRERERPEnoQPg5557Tk466SSpqKiQ++67T2666SZZsmSJHHDAAfLLL780eXu32y3HHHOM3nbChAnyxBNPyHHHHScPPPCAnno8nhZ5HkREREQUOqskqOLiYrn22mulZ8+e8u2330p2draef+qpp8qwYcPk6quvli+//LLR+3jppZdk7ty5cuWVV8o//vGP+vMxCnzdddfJq6++KlOnTo35cyEiIiKi0CXsCPD7778vpaWlcsEFF9QHv9C7d285+eSTZc6cObJp06ZG7+Pll1/W0+nTp/ucf9lll0laWlr95UREREQUPxJ2BHjBggV6inQHfzgPo7uLFi2SXr16Bby91+vVy7t37y59+vTxuQzB75577qmXN6WgoEB27tzpc96KFSv09LfffhOn0ykx53aJa+p9sX8cIoqK4h27RQp/Tqit6fKI3Heoq7VXg4jCsHtLsfy8TVqEzWaTAQMGSGpqakjXT9gAePPmzXqKFAh/xnnGdQLZtWuXTnQbMWJEwMtxH/Pnz9dRZvMIs78nn3xS7rjjjoCXYSSaiIiIiJqGIgbDhw8P4ZoJHAAbVRpQucGf8euhsUoOjd3e/z4aC4CRLnHKKaf4nIegedWqVTJy5Mig90/UlDVr1sgJJ5wg7733ngwcOJAbjIjiDvdTFE0YAQ5VwgbA6enpeupwOBpcVl1d7XOdcG8f6n1AXl6eLv7233//Rm9HFCoEv6H+IiYiag3cT1FLS9hJcI2lOTSWHmHo2LGjBrfB0iRwPkZ+Gxv9JSIiIqKWl7AB8NixY/UUebr+jPPGjBkT9PZJSUmy7777ytatW2XDhg0+l1VVVcnPP//c6O2JiIiIqHUkbACM3MisrCyZNWuW5twaNm7cKLNnz5aDDz64vgIE8nhRkWHbNt+pjGeffbaePvTQQz7nP/XUUxoEG5cTERERUfxI2BxgtD1Gx7ZLLrlEDjzwQLn44os1n/exxx7T0d2///3v9ddduHChTJo0Sc455xx58cUX68+fNm2a1vrFbUpKSrQbHDrJobIDAuizzjqrlZ4dkUiXLl3ktttu01MionjE/RS1liQvCtomsH//+98aCKP1cUpKiowfP17uvvtuGTVqVP11vvrqq4ABMJSXl8udd94pb731lo4Qd+vWTU4//XS59dZbJSMjoxWeERERERE1JuEDYCIiIiJKLAmbA0xEREREiYkBMBERERElFAbARERERJRQGAATERERUUJhAEzkB3WfURlkv/32kw4dOkhqaqr0799fLrjgAvn1118Dbq++fftq+by99tpLPB5Pg8tnzpypl6OiiAH/x3m4rDG///67Xg+PH63HbGxBzeumGI8daEEJQAOqpjT1eEbbcHC73fL6669rScHu3buL3W7XU5Qq/Otf/yqFhYVNrhtRW8L9Tej7m3D2ddHYvty/tW8JWweYKJB169bJ0UcfLatWrZJjjjlGpkyZouXsli9frsEc6j4/88wzWgM6EHQAfPXVV2Xq1KkttoGb85gnn3yyTJ48OeBlCDhDkZ+fLw8++GDA8/1deumlcsABBwS8H5QfNKB29ptvvqllCK+44gq9L3RbRJnCp59+Wk499VTp3LlzSOtHFO+4vwl9f9OcfV0k25f7t/aPATBRHYxEHnfccbJmzRqt64xgywwjkIceeqiOHPTr189npNO8I7/55pv1thhpiLXmPubo0aMjbtSSmZkZ8n0g+G3quosXL9bgFy3Ev/32W7HZbA1qbhO1F9zfxHZfF+n25f6t/WMKBFGd559/XlasWCFXXnllg50loMkJDs/jEBx2nv7S0tK0KcqmTZvk0UcfbZHt2hqPGSurV6/WU6Q/+Ae/xhcSFqL2gPub2O7rIt2+0cb9W/xhAExUZ/bs2fWH64PZc889Zf/995dFixbJxo0bG1x+7rnnyvDhw+Xee++VoqKiFtm2zXlM5MUhn9Z/KS4uDvlx8cUR6D6Qx+sPo7eBrosW4oYBAwbo6YcffqhpD0TtGfc34e1vwt3XRbp9uX9r/xgAE9VBnmlWVpYMGTKk0W2yzz776OnSpUsbXGaxWOT+++/XwO6uu+5qkW3bnMfEF0iXLl0aLJhkEqr169cHvI9AE0vwJRTouuY8ZKQ+4JDlypUr9ZAkRoIxMvP222/L7t27Q14voraA+5vw9jfh7usi3b7cv7V/zAEmqoOdateuXZvcHjk5OfXXDwSTLSZNmiRPPfWUXHXVVTrjONbCfUyMpJx55pkBDzOGk5P30ksvNTgfwau/G264QfPt/OXm5vr8jWB31qxZOtHl+++/l6+//lrPRzWIq6++Wu655x79EiRq67i/CW9/E+6+LtLty/1b+8cAmKhOdna2lJaWNrk9jB2lseMMBGV3MKI5Y8YMnYDREsJ5TKQbHHbYYRE9Hr68Qr0PHLYM5brI/b3ssst0cTgcOuv7s88+05w/jPygjBGeH1Fbx/1NbPd1kW5f7t/aP6ZAENUZOXKk7jBRMqepagWAUl2NHVY744wz5F//+pcsXLiwRbZxazxmLGHUF7U7b7nlFvnmm2+0Judzzz3X2qtFFBXc38R2XxfN7RsL3L+1PgbARKbauIB6s8EgT2z+/Pk6+tC7d+9Gt93dd9+tO7nrrruuxbZxazxmSxg6dKimS2zZsqW1V4UoKri/ie2+LtrbN5a4f2sdDICJ6px//vm6I/rHP/6huaj+duzYoYXUk5OT5b777mtyu6GbEJo5II/1P//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      " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Saved: riemannian_discriminability.png\n" + ] + } + ], + "source": [ + "from scipy.linalg import sqrtm, logm, eigh, inv, norm, expm\n", + "\n", + "def riemannian_mean_cov(covs, tol=1e-5, max_iter=30):\n", + " \"\"\"Compute Riemannian mean of SPD matrices using iterative fixed-point algorithm.\"\"\"\n", + " covs = [np.asarray(C, dtype=np.float64) for C in covs]\n", + " # Add small regularization to ensure SPD\n", + " for i in range(len(covs)):\n", + " covs[i] = covs[i] + 1e-5 * np.trace(covs[i]) / covs[i].shape[0] * np.eye(covs[i].shape[0])\n", + " C_mean = np.mean(covs, axis=0) # Init with Euclidean mean\n", + " for _ in range(max_iter):\n", + " C_sq_inv = inv(sqrtm(C_mean))\n", + " tangent_sum = np.zeros_like(C_mean)\n", + " for C in covs:\n", + " tangent_sum += np.real(logm(C_sq_inv @ C @ C_sq_inv))\n", + " tangent_sum /= len(covs)\n", + " \n", + " C_mean = sqrtm(C_mean) @ expm(tangent_sum) @ sqrtm(C_mean)\n", + " C_mean = np.real(C_mean)\n", + " if norm(tangent_sum) < tol:\n", + " break\n", + " return C_mean\n", + "\n", + "def riemannian_dist(A, B):\n", + " \"\"\"Riemannian distance between symmetric positive-definite matrices A and B.\"\"\"\n", + " A_reg = A + 1e-6 * np.trace(A) / A.shape[0] * np.eye(A.shape[0])\n", + " B_reg = B + 1e-6 * np.trace(B) / B.shape[0] * np.eye(B.shape[0])\n", + " evals = np.clip(np.real(eigh(A_reg, B_reg, eigvals_only=True)), 1e-12, np.inf)\n", + " return np.sqrt(np.sum(np.log(evals)**2))\n", + "\n", + "def recenter_data(X, y):\n", + " \"\"\"\n", + " Riemannian Generic Recentering (Zanini et al. 2018).\n", + " Calculates reference covariance C_ref from resting state (y=0)\n", + " and transforms X -> R @ X where R = C_ref^{-1/2}\n", + " \"\"\"\n", + " # compute trace-normalized covariances\n", + " covs = np.einsum('ijk,ilk->ijl', X, X)\n", + " covs /= np.trace(covs, axis1=1, axis2=2)[:, None, None]\n", + " \n", + " covs_rest = covs[y == 0]\n", + " if len(covs_rest) == 0:\n", + " return X, None, np.nan\n", + " \n", + " C_ref = riemannian_mean_cov(covs_rest)\n", + " \n", + " # Alignment transformation R = C_ref^{-1/2}\n", + " R = np.real(inv(sqrtm(C_ref)))\n", + " X_aligned = np.einsum('ij,kjl->kil', R, X)\n", + " \n", + " # Riemannian discriminability (Distance between MI center and REST center)\n", + " covs_mi = covs[y == 1]\n", + " if len(covs_mi) > 0:\n", + " C_mi = riemannian_mean_cov(covs_mi)\n", + " dist = riemannian_dist(C_mi, C_ref)\n", + " else:\n", + " dist = np.nan\n", + " \n", + " return X_aligned, C_ref, dist\n", + "\n", + "MIN_TEST_TRIALS = 10\n", + "ra_results = []\n", + "\n", + "for subj in subjects:\n", + " subj_ses = sessions[subj]\n", + " for pair in PAIRS:\n", + " needed = (pair['train'], pair['online_fes'], pair['online_nofes'])\n", + " if any(k not in subj_ses for k in needed): continue\n", + " \n", + " train = subj_ses[pair['train']]\n", + " if set(np.unique(train['y'])) != {0, 1}: continue\n", + " \n", + " # 1. Recenter Training data\n", + " X_train_r, _, _ = recenter_data(train['X'], train['y'])\n", + " \n", + " # 2. Fit CSPLDA on recentered offline train data\n", + " clf = CSPLDA(n_csp=N_CSP).fit(X_train_r, train['y'])\n", + " train_acc = (clf.predict(X_train_r) == train['y']).mean()\n", + " \n", + " for cond_key, cond_label in [('online_fes', 'FES'), ('online_nofes', 'NOFES')]:\n", + " te = subj_ses[pair[cond_key]]\n", + " if len(te['y']) < MIN_TEST_TRIALS or set(np.unique(te['y'])) != {0, 1}: continue\n", + " \n", + " # 3. Recenter Testing data (Online sets)\n", + " X_test_r, _, riemann_dist = recenter_data(te['X'], te['y'])\n", + " \n", + " # 4. Evaluate decoder on recentered test data\n", + " res = evaluate(clf, X_test_r, te['y'])\n", + " \n", + " y_true = res['y']\n", + " y_pred = res['pred']\n", + " acc = (y_true == y_pred).mean()\n", + " mi_acc = (y_pred[y_true == 1] == 1).mean() if (y_true == 1).any() else np.nan\n", + " rest_acc = (y_pred[y_true == 0] == 0).mean() if (y_true == 0).any() else np.nan\n", + " \n", + " ra_results.append({\n", + " 'subject': subj,\n", + " 'pair': pair['name'],\n", + " 'condition': cond_label,\n", + " 'train_acc': train_acc,\n", + " 'test_acc': acc,\n", + " 'mi_acc': mi_acc,\n", + " 'rest_acc': rest_acc,\n", + " 'riemann_dist': riemann_dist\n", + " })\n", + "\n", + "print(\"=== Riemannian Alignment & Discriminability Metrics ===\\n\")\n", + "hdr = f'{\"Metric\":<28} {\"FES\":>18} {\"NOFES\":>18} {\"paired Δ\":>9} {\"95% CI (boot)\":>24}'\n", + "print(hdr); print('-'*len(hdr))\n", + "\n", + "def fmt_ra(arr):\n", + " if len(arr) == 0: return ' -- '\n", + " return f'{np.mean(arr):>8.3f} ± {np.std(arr, ddof=1):6.3f}'\n", + "\n", + "metrics = [\n", + " ('riemann_dist', 'Riemannian MI–REST Distance'),\n", + " ('test_acc', 'Aligned CSPLDA test acc')\n", + "]\n", + "\n", + "for m_key, m_label in metrics:\n", + " fes_vals, nof_vals, deltas = [], [], []\n", + " for subj in subjects:\n", + " for pair in PAIRS:\n", + " fes = next((r for r in ra_results if r['subject']==subj and r['pair']==pair['name'] and r['condition']=='FES'), None)\n", + " nof = next((r for r in ra_results if r['subject']==subj and r['pair']==pair['name'] and r['condition']=='NOFES'), None)\n", + " if fes and nof and not np.isnan(fes[m_key]) and not np.isnan(nof[m_key]):\n", + " fes_vals.append(fes[m_key])\n", + " nof_vals.append(nof[m_key])\n", + " deltas.append(fes[m_key] - nof[m_key])\n", + " \n", + " if len(deltas) > 0:\n", + " mean_d, lo, hi = boot_paired_ci(deltas)\n", + " marker = ' ' if lo < 0 < hi else ' *'\n", + " print(f'{m_label:<28} {fmt_ra(fes_vals):>18} {fmt_ra(nof_vals):>18} '\n", + " f'{mean_d:>+9.3f} [{lo:>+7.3f},{hi:>+7.3f}]{marker}')\n", + "\n", + "# Plot Riemannian Distance (Discriminability) distribution\n", + "fes_dists = [r['riemann_dist'] for r in ra_results if r['condition'] == 'FES']\n", + "nof_dists = [r['riemann_dist'] for r in ra_results if r['condition'] == 'NOFES']\n", + "\n", + "if fes_dists and nof_dists:\n", + " fig, ax = plt.subplots(figsize=(6, 5))\n", + " means = [np.mean(fes_dists), np.mean(nof_dists)]\n", + " sems = [np.std(fes_dists, ddof=1)/np.sqrt(len(fes_dists)),\n", + " np.std(nof_dists, ddof=1)/np.sqrt(len(nof_dists))]\n", + " ax.bar(['ONLINE FES', 'ONLINE NOFES'], means, yerr=sems, \n", + " color=[cond_color['FES'], cond_color['NOFES']], capsize=6, edgecolor='white')\n", + "\n", + " # Paired lines\n", + " for subj in subjects:\n", + " for pair in PAIRS:\n", + " fes = next((r for r in ra_results if r['subject']==subj and r['pair']==pair['name'] and r['condition']=='FES'), None)\n", + " nof = next((r for r in ra_results if r['subject']==subj and r['pair']==pair['name'] and r['condition']=='NOFES'), None)\n", + " if fes and nof:\n", + " ax.plot([0, 1], [fes['riemann_dist'], nof['riemann_dist']], color='k', alpha=0.3, lw=1)\n", + " ax.scatter([0, 1], [fes['riemann_dist'], nof['riemann_dist']], color='k', alpha=0.5, s=20, zorder=3)\n", + "\n", + " ax.set_ylabel('Riemannian distance (MI vs REST)\\n$\\delta_R(C_{MI}, C_{REST})$')\n", + " ax.set_title('Inherent Riemannian Discriminability\\n(Independent of classifier projection)', fontweight='bold')\n", + " ax.spines[['top', 'right']].set_visible(False)\n", + " ax.grid(axis='y', alpha=0.3)\n", + " plt.tight_layout()\n", + " plt.savefig('riemannian_discriminability.png', dpi=150, bbox_inches='tight')\n", + " plt.show()\n", + " print('\\nSaved: riemannian_discriminability.png')" + ] + }, + { + "cell_type": "markdown", + "id": "09f20fd7", + "metadata": {}, + "source": [ + "## Nonstationarity: Drift from Offline Calibration to Online Session\n", + "\n", + "This analysis measures the covariate shift (drift) by calculating the Riemannian distance between the class manifold in the offline calibration session and the class manifold in the subsequent online session. \n", + "- **FES Drift:** Distance from OFFLINE_FES to ONLINE_FES\n", + "- **NOFES Drift:** Distance from OFFLINE_NOFES to ONLINE_NOFES\n", + "\n", + "This is done separately for the MI state and the REST state. High distances indicate that the brain state during the online task has drifted significantly from what the classifier learned during the offline phase." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "17f73b20", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "<>:112: SyntaxWarning: invalid escape sequence '\\d'\n", + "<>:112: SyntaxWarning: invalid escape sequence '\\d'\n", + "/var/folders/98/qwcfyxcd0c12f9zp2wjlf1x80000gn/T/ipykernel_41885/2712111310.py:112: SyntaxWarning: invalid escape sequence '\\d'\n", + " axes[0].set_ylabel('Riemannian distance (Offline vs Online)\\n$\\delta_R(C_{train}, C_{test})$')\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Offline to Online Nonstationarity (Riemannian Drift) ===\n", + "\n", + "Metric FES NOFES paired Δ 95% CI (boot)\n", + "-----------------------------------------------------------------------------------------------------\n", + "MI Drift (Offline->Online) 2.470 ± 1.075 2.248 ± 0.935 +0.222 [ -0.245, +0.869] \n", + "REST Drift (Offline->Online) 2.534 ± 1.087 2.354 ± 0.987 +0.180 [ -0.375, +0.836] \n" + ] + }, + { + "data": { + "image/png": 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ujOhz2WWXOa7jrKVZRc4clgVnJJFZZM42wZlGY4hqZFM88sgjTo/59ttvvXpuZAGlpaU5ruPMLM78GjDCTlUVjfV1ZC+8Z2SUGPB5mgs5VyUU3D7adVwnnOmuLMZZ6+rmggsucMpsQcF3T98bZC6Y3ydGdrriiiv0OTBNnjxZP28Dzq6bRy+s7PWJ0fmQfYfsCGQUIasS30ecqf/rr78c90NG3oYNG6SyPPTQQ5pZBVgGZDWYlZWlg6wHZCsiG9CA5bd6f1nRfcH333/vdNu0adMcnzkun3zySaf5uH9Z+5CnnnrK8f6Q5dW+fXvHPGS8GJloVsJ27Pp5IRsEsC6nTJniuO7vdmzldu7Ld7Um7yceffRRLZ6OjDBPsM29/fbbmkFovs38G4zvEgYVMJYL2T/IQDQz39+cOfv+++9rm+eXX37RjDS8X2QyI7vKnHlakceUBdlJ5tFL8ZmgILo5oxrZZJ7eQ6DbTURUM7HrHBFZDo1NNJQ2b94su3btctyOAz10GynPrFmztIuMueHkSXnDFePAy8x8oAZ5eXliJXN3B0BXFtfGous62LJli1fPbXQ/MXf5MAJYhs6dO0tVcH2f6LaAA1xPKjOYU5Vcuzju2bOnzPu7jiqHIberA1++N67bL7r5lDUqHg6k0BXJm+6iDRo00G6Rnra78mD9o0sa9kXeqMzhz12/m67XXb/fZuhG5Kn7p5X7y4pAF70jR444riMY47qsOPivVauWHD58WK/j/nicu20AjzcHlqpivw3YJsvaTyMAgeC+0T3Ml+0Y9zF/vlbuN6r6Ny4Y9xMGnHi56qqrtIsbvhfo8jV37lyn7dMI7qArK54b26H5e4EuZuauyu6Y3wsCxgiYYXnXrVvndDIN6wO/fQjyDB482K/H+LPt+truCOQ2RUQ1BzOaiMj6HYvNVursmVG/yRs4k2c+aMIBymmnnab1NjD5MjRxnTp1nK57qiFUWWeiXQNBNYVrBgNqTJS1blHroiZAPRHXBr45mOrKnDHj7vHBqrK/N0a9EG9qr5S13ZUH2YTmIBMyJlAz5vzzz9d9iTmzIJgz0Mr6/li5v6wIq9eZu4B1Ze+3K3vf7fq9Rz0iT3bu3FkqoFrWfqOqf+OCcT/h2v5AcBl1IL/77jsNJCGL1bxs+KyNmlv+Lhcyf/755x8ZO3asnmAzbzeoLfb111/LkCFD5LPPPvPrMVW57QZymyKimoOBJiKqFGhAoZuYObPn3HPPLfdx6BpmzmDAARYO5n/66Sf5/PPPtQhlMHM9k4+DXNfG8sqVK8t8jCfNmjVzum4ufm1YvXq1VDZ8Puh+YHbJJZeU+ZjK7iZXVQE9ZKGgG4KZuSi6a1aC6/Z63nnnSU3juv2++uqrTl0T3U3eZrih8K75s12xYoVTMWF3zGfbXQ/oEfhDhgMyFrA/MXfnrGyu303X6+ji5+v3x9/9pRXfGxQQN+/rkT3iGihB8MTIZjKyllwPZiuLt+8Rv1Fl7acRzDOKQhtcA5WemLsxAT4X16wlA7pRmWF/421R9lDdTyA4Yy5Eb4bg8ujRo6Vr166lbgdsh+Yukehei+50ZS0XsqVcT7S89dZbun1gORDEevfdd52eF4X4/X1MRbddd7dZNUAGEZEnDDQRUaVAqjXqIKARh+mWW27xKtiA0Wdcu2QZtTrQwMOIQ54alMEAXRzQgDQgyPTAAw84zjji+v333+/0GNe6Fp5gBBhkKxg2btyoDVUD6khgdLfKgvfw5ZdfahdI82eAbi7mWlGBYNS+MZSVZXTllVfqwacxuR40lAefpxm6YKA2iOuBNYJK5i4bWE8XX3yx1DTYfs0H86jH5S4IiroeL7/8so7u5i0cHJprhRhBbNRQca3xgxHNnnjiCQ1OedqfmLuxItvBm9HLrILtxhgpDpeo+WM2aNAgn5/T3/2l6/emIrVXsF93HQ1w0qRJjmXDSGC4bobR3aqqRpu3+wbX/TD20+b6VujuZP4+Yz/vbVdYfO/N3QHxPAg+YT9hhjpc2J+Utb+pripzP4EgCoJ+9957r9vnxHxzfTJk6LRr187t9otujciGcv1uYTvGbwW65pnrMGKkN4zkZowyi/prqCs2cuRIp25/5sBiRR5TFuw78BwGLKd5BE2c8MI6rUi7g4ioolijiYgqDQrAuhaBLQ8a7jjTZtQcQF0LNAhR6Bq1DBBcQWM1WLu4GEVJTz/9dMeBMA4c0OhDijzqe2DobgMalbfddptXz4sDSHQ/RJFaw7hx4/TMMDIK0Pj1pk6LLyZOnKgHaqhhgSHWXYuz4uwviooaB7eB4pqZgi5Ts2fPlqSkJEdNDnND3B8Y1vn333+Xd955R6/jc77mmmvk8ccf14wnrCt0i0DRYgOWAxkmCATUNBguHsEfI+iJg2dkYBjDgyOogu+tURPEXDzYG9i+cZBoDFGPjKWrr75aDwbxGshMwGviYBIHbubn79Wrl9OBJ4rcouscikmjPkxVdm1FsV/U+EGtFASFzQEP47vtK3/3l3g8uqohSAcohn788cfrcuJx2L+cccYZ5S4HgjIo9mzsf5Cxg/o42A6w/s0ZTtifuAbbq3LfgO8t1ouRUfXss89qtij2w8jUNAqNIxCA9dCtWzfdds1drRCcwH7eW/je4/t/0kknOYJV2F/j+bFNYv+AbcK11g6+VzVlGPnK3k/gc8NngglF8PF6yA7C7y2+6+bANLqUmk/aIIiI3zEj+xj7ciwnvqvoeornQAaiMR/1lQy4H34b8Xx4TfymIyi1dOlSp1pcmOfPY8qC7/Cdd97p1DYYPny4npxC2wCF1c2Z1Vi3CPYSEVWmmtfiJaJqD4EZjPZiHBzt2LFDJyPwgUwEX4sCVyUU8HzzzTd1WY0MBhzAuY5ohQK5yBDypUA0Dq7R/QejzBiMA3AcrKILm3mUP3/98MMPHufhABQHbWjUBxpq0qDrkVFwF8EIHNgbUKPDSvh88XqPPfaY48w3DhJdDxQBwScceKN4e001ffp0DTIY3drw3cUoiZhc+RpsQxYSztCjYC62N+OAEUFPdBFzZc6UQUYPgrxGIAUH+cY2jYK36HLibR0Uf+EgG4EM16whBHSQbeBaALuq9pfI0DCfEMABMCbwtusSAgbojohRL40ucublMODAGttIVXYFQ9AN2Uc42AYEI81ZjAgyINCE/TC2DRygG5lGGEXUdRtDwPqVV17xulCzeT+AADSyVoxRzBCMRkDLFYKnGIWtKgNy1Xk/4RowRiaQp2wgBFJds3sQjMR+Ar+f+MwBl+bf2fKWDds9ipC7k5KS4hQE8ucxniDzDftEbJuA/aS7YuuoX1VesXMiIiuw6xwRBR0U6kWQAAc5OMjEGUWc9UR3GdcGYrAaM2aM1k65/fbb9Yw4zlijcYqz6Keccooe2OFgw3V0l/JgKHMUREYXITSOcR01UnCgicY6Ai5Ww3Jj+XFQjm5zOPOPzCwclAVDkMk4+EOWEbqoYJkqu3gpghk4QEV9DRwMIksGB6o4QMRZdNRVQZcvZDHgoL0mB5kA2yG6beIAHvVQkFWD7y4+BwQXcHCHgAaCoOYuHd7CcyG4h+yYu+++WzNDjPWNzx5ZPagBh/2D+SAKWYTIHMHBPb57WE5kkdx1112a8VbZhbLNkMWAQBkKO+N1kWmALi/ovod1E6j9JTJA0I0J26g/WX/IkEDmGb4XyCTD5258/gj04HuCzy8QmRTItkL3XgSUygpgYH+M/fJTTz0l/fr1023G2P9hG8a+D5kt6H5bEVjH2B9gG8X+AfsJ7C+wHWN7xn4EwVHsV7Aeq6p7YXXfTyB4gmygqVOn6vcB6xnd942upE2aNNHtDt8JBBzxm+lq4MCBuv1OmzZNv0vIMsLj8Z3ASQX8tiJTFpmT+JwMyIhDUBC/jfiNxOeJ94PXx/cQmUZ4DAKe/jymPNhWEMhDXTqsW2xb2BdgnSPzGF3lEODDfq+q6qMRUWgLswdz/xMiIiIiIiIiIqo2atapEiIiIiIiIiIiChgGmoiIiIiIiIiIyBIMNBERERERERERkSUYaCIiIiIiIiIiIksw0ERERERERERERJZgoImIiIiIiIiIiCzBQBMRUQgICwsrNT399NMe73/99deXun/Lli2rdJmptCuvvNLpM5k1a5bXq2nGjBlOj33wwQeDYhVjOdxtn5hiY2OlefPmMnToUHnrrbeksLDQ7XMMGDDA6XFbt26t8vcRSqrr+nZdbkyRkZGSmJio29nJJ58s1157rfz4449it9sr5XtIREQUChhoIiIKUS+//LIUFxeXuj09PV3efffdgCwTkVlubq7s2LFDfvjhBxk3bpz069dPsrOzuZLIMgheZmZm6nY2b948ee211+TMM8+UDh06yPz586tsTVfX4B0REZE7EW5vJSKiGm/Lli3yv//9T8477zyn25E5ggMvokBo0aKFnHjiiZKfny+rV6+WzZs3O+b9/fff8uyzz8o999zj9Jj+/ftL3bp1Hdfj4+OrdJlDTU1Z39jOsL1hf7dx40bZtGmTY9769evllFNOkY8++khGjBjh9LgePXo47SPr1atXpctNREQU7BhoIiIKYS+88IJToAkZTi+99FJAl4lCGzI70M3P2B4vu+wy+fjjjx3zv//++1KBpilTplT5coaymrK+r7vuOu0GZ1i2bJl2nTMymQoKCuSKK66QTp06SceOHZ0eh4mIiIjcY9c5IqIQk5KSorVv4Pfff5dVq1Y55n3zzTea6QRNmjTx6vlSU1Plsccek759+0qdOnW05gmyHQYPHixvv/22Hqy5ysvLk6lTp8rFF18sxx13nDRq1EhiYmJ0uZo2bSpnnXWWdt9z17UPvv32Wxk+fLhmI+AxeCyWFxkK11xzjSNQ4akOkOt81FgxzzcffHqqyfLLL7/IaaedJrVr19bbvvrqK6fH/PbbbxokOeaYYyQuLk6ndu3ayYQJE2TdunUe1+eBAwe0RlazZs0kOjpaHz9p0iQ5cuSIWG3fvn26PFjnxmtNnjzZKVsDXdXweRrvvW3btm7r12AZzesIdW78ZbPZZOTIkaW2t4p0O8rKypIXX3xRBg0aJPXr15eoqCj9LmC7RZaUuy55eB7z8+J1Dh06JDfddJN+Ptj2jj32WKfg7IIFC3T7xXMj0wd1f7777ju37w/LM2rUKOnWrZtuv3g+fA74PuD7g+fFd8WVu+318OHDcvfdd+vng+fAe7z88su1S5grd98HZPCMHj1aXxvrplWrVvp86L7o6/oO1Pvy1/HHHy9//PGHdO7c2XFbTk6O3HfffT7VaML6wDbSpUsXSUpKkoiICN03ojsesqOw79u1a5fTc82ePdvpObD+3a1jXGJ5zj77bGnfvr1mU2Gfm5CQoPsXrBtPNaPcLfeiRYt0mfA8WL9YxmnTpnnc98LPP/+sr4PPBK+L/S++D6effrpMnz7d7WMquj8kIqJqyk5ERDUedvfG1KJFC/u4ceMc18ePH++4X//+/R23P/roo6Ue5+qPP/6w16tXz+l+rlOfPn3sBw8edHrcgQMHynyMMQ0ePNiel5fn9NjHH3+83MfFx8c7PeaBBx5wmv/OO++Ueh/m+aNHj3aaj+vm+Zdeemmp1/zyyy/1vvn5+W7nm6eoqCj722+/XWp9btu2Tdezu8d07NjRPnToUKfbsNzewnt2fQ+NGjVy+1rdunWzHz582PHYe++912n+jz/+6PTcxcXF9mbNmjnmt2zZ0l5UVOTVcrl+Nq7r/osvvnCaf+qpp5Z6DvN2i2nLli1O81esWGE/5phjyvxMOnToYN+0aZPT4/A85vt06tTJ3qZNG7ePv/nmm+2ff/65PSIiotS8sLAwfR+usJ2Wty136dLFnpaWVub22rdvX4/bDT6XQ4cOlbnOR4wYYY+NjXX7+HPOOcfn9R2o91Ue1+V23Q8Y8F12/b5mZmZ63B+Yv4dr1qyxJycnl/v+P/vsM7fP5Wky1jEe583977vvvlLvy/W1LrnkErvNZnP7+Ouvv77U448cOWI/99xzy3xd198Jf/aHRERUfTGjiYgoBN14442O/z/44ANJS0uT5cuXO86q4wz11VdfXeZzIAPinHPO0QwcwwknnKBn2lu3bu1UV+eiiy5y+xzIlEG9E5wJP/fcczX7w8i2gl9//dUpWwR1ex599FHHdWReoEA0lgPZTFVVK+XDDz/UjABkY2FENPP7RTYS5huQ8YT3N3DgQF1e432MHz9esydcMw62bdvmuI7PAfVwunfvLmvWrNFuY1a+h/3790ufPn10QtaFYenSpXLrrbc6vSdkO5gLyZvNmTPHKcME7w3ZSP4qKipy6jYHyGTzBTKgsP7NtZ7QFQrbqTlzZe3atZqJ5C7TxvDvv/9qLR9s5yeddJLTvOeff16zPMLDwzXjx7xNINZ71113uX1OZLxg2x0yZIh2Y8Vjk5OTHfNXrFgh999/f5nv8c8//9TtBtlV2F7MnyU+F9fPy9UXX3yhmYd4T8jqMUMdNzy/r4LhfVUUMhXxORrwfV28eLFXj33mmWd0QAXztob9E5a/TZs2pb4X2P8ho8hc8wpQkBy3G5NrHSxkc+LzwnaM7RbZY+bnfvjhh2XJkiVlLivqT+F7jc8G2UVmyEzavn27022XXHKJZr2aYTvHPhD7YWQpufJnf0hERNVYoCNdRERU+dydcR44cKDjtqlTp9rHjBnjuH7VVVd5fJzBfJYaGRvmLBdkuFxzzTVOj//hhx8c85GltHLlSr2fq71799oTEhIcj+vZs6dj3q5du5ye87333iv1eDzviy++WKkZTcha+eabb5zug/e0du1aXRfG/QYNGmTPzs523GfdunVO761Xr16OeQsWLHB6DWSYLF261DH/zTffLJUJ4E9Gk+tn9ssvvzgtO97jnj17HPOxTRjzkAWxdetWx7yrr77a4+PK4/rZYDtDhg0yaVq1auU07+yzz7bn5ub6lGEzefJkp3mvvfaa02Mfe+wxp/mvvPKKx4wmTA8//LBj/sUXX+w0D+tlzpw5Og+fe5MmTZzmI2PNbNmyZfbCwkK3mSPm996gQYMyt1dMjzzyiGP+jBkznOYNGDCgzHWOz2zWrFmO+eZ9AaYHH3zQ6/UdyPdlVUYTYNnM9/3000+9ymgaMmSI0/ffFbI7P/zwQ91P+bJODfv27bPv2LHD7bzvvvvO6TnuvPNOp/muy12rVi3HcuDzQgapeT7Wt+HXX391mhceHq7vw/XznTlzpuO6P/tDIiKq3lgMnIgoRKGGCGo0GUXBzbVvMK8sqN+BOkkGnMl+4403dDLs3bvX6TG4/xlnnKH/40w2HnPHHXdonRBkm6AGEYYad4VMEwPO+uNxRj0d1IJB7R2cjUe9ksaNG2uWijlTpTKglg2yFMzwnpD9Ya5flJGRocWEzVBPxVzPBxlhyMRC9pZr9oA5u+Sqq67S2inIJLMCauUgs8B8HRNqTwE+C3w2qKMFt912m9bcwvvD5//qq6/K448/rtkIn332meN5kL3SsGHDCi8XMljMWV2ATJann35aCzCbM0288fXXXzv+RxbaTz/9pDVmDK61r7CdoiC0O4mJiXL77bc7rvfu3dsp4wpZGhipDJCZ16tXL/m///s/x3zU5WnevLnjOtbTQw89pOt8w4YNmgnjrqYZamkh6xB1n9xBjS3UyDK4bpu7d++WslxwwQWacWNAlsw777zj9eNdBcv78kdZNYrKgkwjw8KFCzWzqGvXrlrPCNk/qNWE73ZFoUbV3Llz5d5779X9BzK7sD90t7zmfac72M6NfSW+V8iiMu+HzOvXtQYdMl5d3wfqNZn3d/7sD4mIqHpjoImIKEThYBKFWRHkMQrTwqmnnqpdwsqCoBQOGgwI9qD7TVmMIuOAAAa6W6DQbnnMr4NgDkYcM0Ydw4EJJnMgCl110O0L3XYqC7qalPcejQNNTJ7gIAzFfXFg5dpNBd2FXOE2qwJN7oJxuM0INIF5mTDqFg5Eje57b731lhaVRtFvBAsMKMZuNQS9UAAZy4DP1xfmzwTr2xz4Ke/+rvB9QXdGc+CprM/Mdb65Wx664SG4c/DgQS/eRcn3wFNABgFJc7cycxc119d1x/W74uvjzYLpfVUUiuGj6LtZgwYNvHrsLbfcooFXBNfw3szdA7H/6tmzpxZKHzt2rM9BU0Cw2Rx883bf6e/nbu56CugqVx5/9odERFS9sUYTEVGIQj0P1M8oq36TlRCMMiAzxRxkqlWrltZFMeqRuKv1YcCoaMhIwdl0ZDyY4eAWdUdQuwS1oTxxzZxCrSJfIHOqMtZLsDNn8yDzAAfU5vorCMQgK8rfbDEccCL4ac4swkEzMm/MQdHKUNbnge3UzLXejuv8siCbzxyMwTaPIK/xHXCt2eNupD8DsmTMfA1g+Pv4YH1fFYWsN9QHMweIUCfNG6jJtHLlSg0GIVBm1CECZP+h7hSygcrLGnVnz549jiC7OYMKNZqwbhEI9nbdBnL91pT9IRERecZAExFRCMNZdXR3MA+pjaLc5cEBijlbA8OWo+sGDmw8TcaQ28h+QdaDOWiDs9g4uPv888/lk08+Kff1kdWCAAe6jeDAZPXq1dqNzjhQQjcddO0ymA/2wNxNEHwtduyp0HXLli2drmMZylonmIzsKAwPbmZeR2XdVlFYZ+XdZu7mBQgYoBC2Ad3Z0D3GgIK+6J5mBWwXr7zyilOXLgSbMNS9L8yfCbYDPEdZn4cxjHxlM29zKMiMId7RlRXfAUyuQYDqorq/L+xPXIuUo8ueazHusuC7/MQTT2hRfXRrw37qu+++c8oiRDfj3Nxcx3Vvvjf//POPU5AcASZkDaG7J9ZtecXV/YHfBtcBAMrjz/6QiIiqNwaaiIhCGLpKIGsEB3+Y0O3Dm9HCcB90fXM90+5ah8Wo84P6QvPnz9fbXO+DrjHGiGY40EAXKaMGkzuoC7Ro0SKnjAlkEVx22WVO3ZrMNaJcM5A+/fRTR20edBV78803xaruiOYDxkceeURHi3OF2icYMeuGG25w3OaaCYTMLIzMZZgxY4YetFsF79tcjwXBAHO3OQTtzEEeA2o1GZYtW+bITEOtlTFjxojVnnzySafrGCXR3Tr1xFzXBxklyOJz3b6w3aEL5s033yxffvmlVAXz9wDfJ/O2+9prr1n6WVel6vy+EBhCMNUc0EWtLdRZ8ha2H3TPNDJz8D1C5iX2l126dHHaFs1dTs2jbYK7zD3XfSf2fcb+Bt39sO+sLMOGDXO6/vrrr5caERL7Anw/rdgfEhFR9cYaTUREIQ4H8q4H895AfR6cSTcOqBAAQt0e1HfCARAK/SJDxphvFIFFMVuc6TYyR1AHCMW8cRCGg1AMH4+DE0/dPqZOnard51DHo0OHDjpcNjIDUPvD3O0C9XwMOHjEQa9RMBfDfqNgMQJtCJJZBa+JLDGsB9i5c6fW7UEWEIJdWE68P6N2iTmQg9otqHtiZAogGIJi0ig4jYNIc3DNCli/6GqD1wUEWszrHJ8XMtVcXXTRRXLXXXdplobrgai3dWx8geHfUUQetaAAn+GUKVNKHeSW1d0PQTpsjzBz5kwtEI7h4JOSkjS7bdWqVY4h6c0F2CsTPlsjyw8H6Nh2cBu+D+h6VdZ3IJhVp/eF4Ab2YfiuoWg5vptmyIBD4MS8LynP7Nmz5fnnn9fgOR6H7z2C6XhucwALgX3sCw3Yl/3www+O68OHD9f1hudBEXHs9/BdMK8/dF1FofEmTZro/sHbulgVgUA49hfGMqJrIbovI7iF/TfW4eLFi3V/jKC/v/tDIiKq3pjRREREFYIDo2+++cbpYAm1jn777TftToXAhTnwYy7qiy5X5jPdRtcSHHRMnDixVJctd1AjCKMvIWiAbnfm4r3ounLnnXc61THB85rhwAhBJiyXlQWsp0+fLpdeeqnjOg4KcQCGdYKMIXOBXPM6MYIg5i50OBDDQTsOIvEeEDCzCkaHQ6Bl3rx5Opm75CDo9+yzz7p9HJbZXX2ZyigCbnDtEoQDbHdd/9xBTSDU9EL9KAOCSliv2H7/+usvR5DJ3WdSWRCYNTL5AEECfAcQjEEW1sknnyzVUXV6X/heYRADBE9cg0wInmD/goBPRaCQNjL+UDwf25k5yISgN/aB5ppIqE1m3vawf0MQDMuHfarRfc21hh6yHrH8CJg+9thjUpnQrdmcyQpYb3iP+D65juDo7/6QiIiqLwaaiIiowjCcO4bQxkhIqK2BLCMcLKC7DIJFKPCNbic4yOzbt6/jceeff74eZOAxqH2CDCic5UbdEmQZlAXBGHTfwgErXgOPx2viTHqfPn10WPXly5eX6i6HLAMsJwJkyFRARgEOIpEJdfHFF1u2FRhZEDjwwsEjDlixjDioRLFoZMygKyG6xuEA1AzBJCzPhAkTdPnRHQ3vEQeXyMLyJgDnLSwHDoTR3Q2ZS1huZJqhiDHq7JRV2Bq1mMy1vdq0aaPbQmXB52ruWoisJmTUeQuBM2yDqPl0+umnazYb3i8mrGdsh8iSQw2cyy+/XKoCMtUQ5EKdHQT88J1BF1BkrqD7VTAUZg6F94XlwfcT3duw7OPGjdPAGPZrRrafL9AVGe8Vte7w3cd+yXiN9u3b6/cN3YixbzBDZhKy9gYNGqTfPU81mxAARvAGmaPYfnFf1Kz7448/LN2PuYO6fFg3CGwheIRMK+y7EVhEVhW+W+YAv7/7QyIiqr7C7MGSv0xERETVAurHILvCqBmDrpfmEemIiIiIKHQx0ERERETlQvdGdJ1B9xjUR1q/fr3enpKSIps3by4zA4qIiIiIQgc7QxMREVG5Nm3aJHfccUep21988UUGmYiIiIjIgTWaiIiIyCfIXsIIeSgCbIwwRUREREQE7DpHRERERERERESWYEYTERERERERERFZgoEmIiIiIiIiIiKyBANNRERERERERERkCQaaiIiIiIiIiIjIEgw0ERERERERERGRJRhoIiIiIiIiIiIiSzDQRERERERERERElmCgiYiIiIiIiIiILMFAExERERERERERWYKBJiIiIiIiIiIisgQDTUREREREREREZAkGmoiIiIiIiIiIyBIMNBERERERERERkSUYaCIiIiIiIiIiIksw0ERERERERERERJZgoImIiIiIiIiIiCzBQBMREREREREREVmCgSYiIiIiIiIiIrIEA01ERERERERERGQJBpqIiIiIiIiIiMgSDDQREREREREREZElGGgiIiIiIiIiIiJLMNBERERERERERESWYKCJiIiIiIiIiIgswUATERERERERERFZgoEmIiIiIiIiIiKyBANNRERERERERERkCQaaiCggBgwYIGFhYTo9+OCDTvNyc3PlgQcekPbt20tsbKzjfsuWLbPktfPz86V169b6nN27dxcrlbfsZc3HejCuY/0YZs2a5bgdE/mnZcuWjnU5Y8YMx+1XXnml43b8X9VGjBihr52SkiKpqalV/vpEROSd8n6X//77bzn99NOlQYMGjvsMGzbMstX75ptvOp73f//7n6UfW3nLXtZ88zrBOvKmzUe+QbvFWJdozxi2bt3qtP5xvSqtWLFCbDabvvZ9991Xpa9NwYmBJqJq8ENiTN99912p++3Zs0eioqKc7mf+EXf94TEfWHt7MI4pIiJCEhMTpUWLFnLqqafKlClTZOfOnVIZ7rnnHnnooYdk/fr1GpgxO3z4sL4/Y8J1X7344ouyefNm/d/Tj+G///4r119/vXTu3FmSkpJ0HTdq1EiGDh0qb731lgarfF12b+aHquLiYvnss89k+PDh0qxZM4mJiZGEhAQNyF111VUyf/58qemMbRHbNLYRIqLKbldgwv62efPmcv7558svv/xSblDF0+T6e7xx40a5+uqrpU2bNnpiBVOTJk30BA+C+Z9++qnHNkd5U3nBCtf3igPg6OhoqVu3rnTp0kUuu+wy+fbbb/W3x2q7du2SM844Q37++WfZv39/qflfffWVow2D/32VmZnp+L04/vjj5Zxzzil1n7y8PG2rnHnmmdp2QRsmOTlZ2zRo26CNU5FlL29+KNu+fbtMmjRJt2+cMMI6r1+/vgwcOFCee+45/dxqMnyvzj33XP3/mWee0W2FQpydiILSO++8Y8dX1DwNHjy41P3uueeeUvd74IEHHPO3bNniNA/P640WLVqUel7XKTo62v7CCy9U6P2tWLHCPnfuXJ22bdvmNK958+aO17jqqqvss2fP1vtlZmaWej+47ovc3Fx73bp19bF4neLi4lL3eeSRR+w2m63M9965c2f7hg0bSj22rGUvbz4+N2Ne//79Hc95+PBhx7rCVNPs27fPfsopp5S7vV133XX2wsJCv1/PvG2bvw/r1693rGP8HwjGeoiKitL1QkRUme0Kd5NrO+GPP/7w6nFpaWmOxyxcuNCekJBQ5v1PP/10n9ocnto5/rzX3r17l2qDeKOs3+W3337b8fwpKSn2r776Su/z77//6vzRo0c75uN/Xz399NOOx7/55pul5qNtgjZKWe87PDzc/uijj5Z6bHnLXt5882tgu/GmzVcTYL3ExMSUuc6bNWtmX7Bggd+vZd628b0xt2/N2ySuV7XffvvNsWw33XRTlb8+BZeIQAe6iMh7v/76q6xevVqOPfZYvY6MmNdee63SVyHOiE2ePFnPxixdulReffVVPXODM2Y33nijnhG86aabvHouPAcyVY477jiP99mxY4fjf5x17Nevn+P6gQMH/HovyJo5ePCg/n/ppZeWSnlHttO9997ruI7Xvu6666ROnTry559/yrRp0yQ7O1tWrVqlZ/UWL16sZwm9WXZv5ruD5+/bt68Eq3nz5mmGGFLn8dn6orCwUM/GLliwQK8jc+6GG27QdYv1/M4778g333yj815++WU98/7UU09Vyvto27atToGEbWLu3LmaMff222/LXXfdFdDlIaKaC7+H9erV0+wWZGIcOXJEb3/88cfL7D78wgsvSLdu3Urdjqxnwx133OHI4DjllFP0dxRdrdLT07WLDfbr5t/fzz//3CnLF/s/7P8N2C+aIQOrIu8VWRZ4bWRTIS7yzz//aMYJsmbxO1+egoICfVxZv8vm33m0dc477zyxCl77lVde0f/xe3jBBRc4zUdWGbq1GVnb8fHx+llgWdEl+6WXXtJ1WVRUpBnWyNhGhpO3y17R91ZWmy8YPP300zJ48GDp2rWrz4/9+uuvNfO6JM5Wktlz++23a/YeyiI89thjuu6x7tCeRrsRvQOshoy9QLcV0UWycePGsnv3bpk5c6buS5DJSCEq0JEuIir/jAXOPMXFxen/48ePd9wHZ7KM+yQlJVVaRpPrGTecyevevbtjPs7i7Ny50zEf2TjmZXnvvffsxx9/vGZAnXfeeW7v43qWz3XC8pgf481ZWHfOOussx/3//PNPp3mHDh2yJyYmOub36NHDXlBQ4HSfL774wuk17733Xq+Wvbz54CmjyfVsspn59l9//dX+1FNP2Tt06KAZMU2aNNHlc5cFtGTJEvuoUaP0tfG54H336dPH/tprr9mLiorsFdlWsY2OHDnS/vXXX9vz8vK8euwbb7zh9B6ef/75Uvc555xznL4L69at85idhMnY1urVq2efOHGiPTs726uMJk9nmV3PHm7fvl3XHTLj8DonnniirntXWI947MCBA+21a9e2R0ZG2hs2bGi/8MIL7YsWLXK7PvA9Ml6ra9euXq1DIiJvuGb5mDOCkTFq3I79mpnrb5A5U8WT2NhYx/2XLVvm9j4ZGRkeH2/+PazI4UpZ7xXQLjHPv+GGGzy+3927d+tvAn5TwsLC7EuXLnX7u+za3nLXRilrvjk7xRNkivmS5Y7fY7P8/Hz7CSec4NR2RNvH32U3fks9bSfu2nzu2j2rV6+2Dxs2zF6rVi1tWw4YMEDbK66QrfPcc89puyU5OVl/X5ExNGbMmAplJBvtgk6dOmlW+6ZNm7x6HNqILVu2dLwHZK27btf4zLDdGPe5/PLL/WpfeMpoKivjvyJtJSM7bsKECfa2bdvq54F2Xrdu3exTp071mDE1btw4x2t9+eWXXq1HqplYo4moGkCWx6hRo/T/999/31Eo+Pnnn9fLE044we3ZxcqCM3nob27AWciPPvrI7X0//PBDueKKK/SsDjKgAgmZV8hKgsjIyFKFwFEDyzijC3fffbeuezPUsECNA8PHH38swWLChAl6Fm3t2rWaEYMzt4888oieqXMtItqzZ08927Rt2zb9XPC+UeDzmmuu0cwkZBp5q2PHjlonAhlIn3zyiZ7hbNiwodbmQG2PsmpgmNcfzjbj9V3df//9jv9xFhZnpt3BWcMxY8Y4tjVkv02fPl1uu+02sUpaWpr06NFD1x0y4/A6ixYtkrPPPluz/Ay4HfW8sDy///67HDp0SM+E7927V5e/d+/e8sEHH5R6fpwBbdq0qf6Ps/54HBFRVfI1W8gdc6YvMjNR0wfZTJ4yoKra5ZdfLoMGDXJcxz7d0+9e//795d1339XfFCNrJVBmz57t+L9Pnz5l/qaaa+YY0PZB28aQkZEh33//vQQD1K7s1auX1q1CZhbalmhDIMPZXN8Iv8N47zfffLO2W7Bd4fcVGUPIgkN7GL+7vsBvOLK7kN2HrHYMGIPXQJZ7WbWokBFnLrqNZXLdrk888URtDxi+/PJLt3U+vW1f+MvbthK2C2R4IYNuw4YN+nmgnYeeDciAREa+u7pTaN8Y/vjjD8uWm6ofBpqIqgl0TUOaeU5Ojrz++uv6I7py5UrHvKp20kknSVxcnOP6woUL3d4PP04nn3yyBiAQyLn44os9PifSuF3T45Gij9uQVo8ffNcgA65jPibzD7k7+KE2GrpIW0baudny5ctLNQ7cMd+OYqf44S1v2cubbwWkymNEOxQ4RcPYYA4KrlmzRq699lpHgxrd1H788UcNYB5zzDF6G0awcQ1OlQUNQzQ80Eh89NFHtWGCBtMbb7yhheNx0IIA2JIlS0o91rzOkVqP1G9XaDSaA36un5N5W8P7wXZm7k6A5cjKyhIroFGOrggIrKJBaxxMoQGGLqUGFMv/6aef9H8E3dBQQ5FdFH9FUVqsf6Tau2s8ogA64IDG+I4TEVkNB7EIXKBN8d577zlux/66LNivuxbnNo+UCuYC1fiNQXcuFEhG9+SxY8dqKYBAGzJkiON/tA3wG+IO9tMYoAH7dKwrFBR3B0W38ZuOg3gDTsIYbRSsN1yi+5QB/xvzvWkLmH8TjN8KA37nNm3aVG4bBsEMM/ymlrfsxnJ6ml9e+8sbGNwG7+n//u//tN2CoBgg0IOTlgZ0w0SbA7A9IQiIQKbRBRDrAW1NX4pvo0shXgdBLpRVQLAIQSSUh0BXMGy/eB3zyUhf2o3mdY7lQ9uxou0Lf3nTVkKg65JLLtH2LWB94v7YRnFyG1DyAN0yXZm3S5wwo9DFGk1E1USHDh30hw4NNtSqMYIWqHmAHwDUM6hKOFhGo9H4EUJgwR1kaKBB6RrU8bZGDoIP5j7n7s4UmYd3LYu5vpO7WgyuI+ZgtBB3sM5dH+fNspc331/IBjJG4kFD2DirhMYbGkdYd9hOkBUEyGq66KKL9H80bkaPHq2BKkDtL5yxAiMLzHUduL4fXEctL0xoyKAGBgKBaIghcIUJ2zG2XaOhbl7nntZ3eHi4fl779u0r9RgzNHQRvANkqxmNdgR1EISzqkYEzhgbjUbU9TAagOvWrXMEiDDaj/lzMbLgcAb9hx9+0MfhTCJGRjJnbLlumxzVh4gqy4UXXuh0HScbcLKgrBNC3kI9QwQ9zJkl2DfiABsTDqSR7YzsjUBxbQd4asc8+eSTemBu5i5QYNTIMQfRXGs54SSX+bcO//vSDiirHeNPG8abZcfjyprvLwSWUO8I7UZAexeT+fcVAUHzCUdk4RgnyUaOHKknypCpjfWEgBV6AyBQ6O6kDn7HzSe38D8ysjEhuIPXxmvhORHIwoQTdQg6GgEWf9Z5RdoXVvCmrYSTwwh8AU4WIrgHyPpCm8bIPkfwDUFB83pkG4YMDDQRVSPIXMIPH7pEGcOGorsUhlCtaghWmLv1IOjk6QfNmyBTVXOX/l6rVi2n6zjIb9asWan7GQEPT48LFHM3ANcGKD4rBJpQTN6As1Eo0urOli1b9MwWAlDu7oOgFIIkniDohCyuW265RZ599lltmCFVHN36cJbRCDRh3RnF2T0FVbCtGd1FjcdU5P1bAevQfGbS/DrGa6CBa34vyG7C5I67jKVAd80gotCEA3RPw96XVwzc3FXO2E//9ttv8tdff+mBOgaNQBFk4+QUIIsKGRWu3buqiuvgIp7aMSNGjJBg5Ppb4a4N406wtmFwIsoIMnn6fUXAxdzFEYEfT4zfV5xgc/cbjHaOpxOVaLeijAAmZGOjFAC2XwSgzO0od+vcNdPM23XuTfvCCt60lczvEUE6T21F9LJA0NUYpAjYhiEDu84RVSPIaEI9HAPOICDQFAjIcsEPjKdUbAPSsYMFagCV9aONegau3QrcQWPD0KZNG6cuhIFUu3Ztx/+utaWMH37XUfbK4kvauRkCVMhmwtlyrHPUO0CQCesJZxzNy2le52gUuqtbgDoC5oalp1FhvHn//jK/huvrWLWOzUE1T2dHiYj8hQNtZC0YWZUI6j/88MMeay66ZuOaJ08Zo+g6/8QTT8icOXM0YwgZIuaTT6ixEyjIUDEHyjyNOlpd2jE4MWRk97i2Vcpq21RkpLXKUBW/r95CoAUZ4gigIOvHWJedOnVy6vrobbvRfDvaQmg7VuT9V4e2ItswZGCgiagawY4f/cUN6D8diANRpPyi4KEBjUYsizu+/Fh522XPrKxC066Q/mucdTWKYJudddZZTl3zpk6dWqo4KPrvm7NQrOhiUJXMgUoELtGocDeh4WCkerub75rNhOASUq1xdhoNYQSUkI6NAp3IasOZa5zRQ1o4Uq8N5u0GZ5dR/8IVCpqbu9G5DuccbJCtZT4YwEGbu3WI7Q/DbLsyUuTx3TEXnicishp+85DtMXDgQMdtd955p9+DdyCLCft/M2RfY/9tzvjw5TfcSvgNQ6FpA7pYuR50V0U7xtf3bw7ouetOZf5NRbd11Gw0Q5sGgT/z529FfaWqgmAg2gHmQKWnNgxqIwICRu7u45rNtGrVKi0fgGASfnvxvUCGH9qO+E7gpBcCUGjfGFAwHN0hDRikx7UmJDKiUN/IPKhMIHoiVLStiPWBILSn9Yw6nWbIXDdYVbKAqid2nSOqZtAYwgE7dvCXXXZZlbwmUoGRwYQfT/xg4scbo3sY0GgxpztXJpyJQaPPOOuC/usYkQMNN9QcKuvHG/dB+i8aXmgAo5ikeXQMPDe6eKG7l9E/HsVCJ06cqPOQ+o/gk6FVq1aWjmhWFVDIE13Z0LhFYVNsQ8g8SkhI0O6YaLiihhDSxY16TeVBAwrPYWS44fPBGW4U1EQNKHf1sMxd8FAPyjjbd+utt+oILgiCoYsFDgYQ3DOgToa7tPRggvePYrfGtoKsQwQ20dUEB2/47uD9IsiES3Njd+fOnY5usTiTWta6IyKyCjKZjHpK2A9hv2w+sWWGky3ugjI4qDRO5mBfjX04fksweAi6oeN3F93/zQWUMa8qYF+L/TD2r6gDhKxbA0YY8/b3zgrm/TpqFuI3FOsNA0e4y3QxMxddR/d3V2iTYERTYyQ0BJ4QJMF6RgYUil6bs2vwuXvqMhiM0OUMwUqc2AL8j3qSCIwg6IFuXgg+YZ0aNYa8gQFUkHVnPmGEdg3aMcjK8xRsxPcAbSp0r0S7FNsY7o+C+mgXIziFUd6MNivWNdqZwQ5tN9TbRH1PBNtwIhbtR2y7GD0X3eUwwAkCf6i3Zoa2s8E8MA2FHgaaiKoZpNxWZYMIEHjA5Apd95566inHSB9VAQERNJhQ98Eo0okJcABvDA3vCTKQjDN8OONqDjQBMrVQbBINAQRjcMbTfNbTfIYHQ9QGS20DbyF4gWLy+MxwhgojuZhHczGgGKa3kImEIBPS79EoQ8PWXW0rT8U/8XngDB8CeTgQMQqHu0LxSWxv1QHOoKIxjxolyADE8N7ewDZp8JQlSERkNfyuIqvJCDbhBNL48eMlNja21H09BaAwlLk5EILfBoxkhckdnFCoqvpMroXPzRkpyLStyqA+3rfxW4aAEE6WAUYiffPNN8t8LEb8ateunY7yisAIginmLGEEMnASCQE+jDKL4IvrgBPGiTe0JQMxarG/0IbBe8OIZggcetoefYEAEdqXWG9ox+Ako6cMN1fDhw/XbGy0q3AyCYFUFLp3hcDTF198oScpgx16S2A0YrSZ0b4zF2Y3cw2Mot38/fff6/9oH5u7GVLoYdc5IvJuZ2Gzaf9/pBBjiF6cBcOIMlUZZDKgGxaGTnYtPuoNo2sXIMDirt87Gl9oKCCTCQElND4QEEFXMjQQ0aBAZhcae9URimfijBOy49DgQcAQ7xFnprBecSbbGGHE2wMUnPHCmTucOfU2yGTAekWDGV3MEODCUMLITDPqGFx55ZUaWET2mjllPpihOynqf6AIKQ7ecBCDRiu2PQTk8BmgMea6roygH7Y3HHQQEVUVc0ACo5UaXY8qAsEbtBNOO+00/W3B77Uxgmi/fv00WICTDFZ3S/MEr4P9Kl4fmVfI5sXrI1sb7ZqqNHjwYO1ihTaEt8EM8/swRvxCAACBC1d4XrRR0FbB+sdvLN47fufRpkHbBm0cdwGo6gCfIdowyCRC9hACGnh/yAhDPSVkRrs7QVgWrCtk76N9ieCIr5/LuHHjtMsYMpmOP/54Df7hOZAZhawenDxDO8m1m1kwQxAY2wmysrFNoV2DdhnqgGG7MgZ6cQ02Y98BaGMGSw1TCowwO0vDE1GIeeaZZxxd3tAty5fsHaLKggMDNJIBZ2hxIEJERGSGMgYI3uGAHl2y8dtBFAzQnkZZAASYkHVXVWU1KDgxo4mIQg6ysIyRWXDGlSgYGEXPcXa2up5pJiKiyoXscqPtglqT5i7XRIGCrozGtoisMgaZiBlNRERERERERERkCWY0ERERERERERGRJRhoIiIiIiIiIiIiSzDQRERERERERERElmCgiYiIiIiIiIiILMFAExERERERERERWYKBJiIiIiIiIiIisgQDTUEoNzdXVq9erZdEREREgcD2CBEREVUEA01BaNOmTdK5c2e9JCIiIgoEtkeIiIioIhhoMikuLpbevXtLWFiYDB482OuVmJqaKhMmTJDGjRtLdHS0tG/fXqZNmyaFhYUV+lCIiIiIiIiIiKqjiEAvQDB57rnntMuaL44cOSL9+vWTdevWycSJE6VLly4yZ84cmTRpkqxZs0beeeedSlteIiIiIiIiIqJgwoymozZv3iz33XefPPLIIz6twCeffFL+/fdfzWB64YUXZNy4cTJz5ky5/vrrZcaMGRp0IiIiIiIiIiIKBQw0HTV+/Hg59thj5YYbbvBpBSKoFBcXp13nzG677TbHfCIiIiIiIiKiUMCucyLyxhtvaObRokWLxGbzPva2b98+2bZtm5x00kkSGxvrNK9ly5bSqFEjWbBggfWfGhERERERERFREAr5QNPu3bvljjvu0Aykrl27+rTydu7cqZdNmzZ1Ox+3b9y4sczn2L9/vxw4cMDpNuMxBQUFOhEREVHoioyMrPTXYHuEiIiIrGqPhHygCV3e6tatKw888ID4Kjs7Wy8x0pw7MTExjvt4Mn36dJkyZYrbeenp6TqiHREREYWuhg0bVvprsD1CREREVrVHQjrQ9PHHH8s333wjv/zyS6mub95AbSbIy8tzOz83N9dxH08wUt2FF15YKqNp2LBhkpycLHXq1PF5uYiIiIh8wfYIERERWSVkA00IDt14441y2mmnaT0l1y5uOTk5eltiYqI0aNDA7XMYXeaMLnSucLunbnWG+vXr6+QpNa0q0uWJiIgotLE9QkRERFYJ2UATAkmojfTzzz9L27ZtS82fN2+e3j5y5EjNfHIHAajmzZvLsmXL9PnMWVEoEr5nzx4ZOnRopb4PIiIiIiIiIqJgEbKBpvj4ePnss8/czkNXtuOOO07uv/9+adasmaNeEgJHqOeEyXDFFVfIo48+Kq+88orceuutjtuffvppx3wiIiIiIiIiolAQsoEmdEm74IILykwhN8//8ssvZcyYMVo0/MEHH3Tcfuedd8rnn3+ul1u3btWR62bPni3vvfeeBpn69+9f6e+FiIiIiIiIiCgY2AK9ANVdUlKSzJ07V6666irNkEIxzX/++Ucef/xxefvttwO9eEREREREREREVSbMbrfbq+7lyBurV6+Wzp07y6pVq+TYY4/lSiMiIqIqx/YIERERVQQzmoiIiIiIyAnORefn5+slERGRL0K2RhMRERERETnLzs6WOXPmyIIFC+Tw4cNSq1Yt6dmzp/Tr10/i4uK4uoiIqFwMNBERERERkQaZ3njjDfn7778lMzNTR2lev369/Pvvv7Ju3ToZP348g01ERFQuBpqIiIiIiEgzmRBkQuZS69atxWazade5Xbt26e3t2rWTM888k2uKiIjKxEATEREREVGIQ0AJ3eWQyYSA0oYNG5zmbdy4Ud5//30pKCjQAFRYWJhO5v9dr5c1z8rHVsXrEIU67Afw/Y+MjOR3gsrFQBMRERERUYjDASRqMqG7HAIrKSkpjkLguKxdu7beXr9+fQkPD9fbjKm4uLjM/z3NN65XB8EU9GJwjaoS67ZRRTDQREREREQU4pClgMLfqMkECCgZEBDauXOnZjr16tXL8mwGT0Erd9e9CWx5c9/KeiyDawyu1SSs20YVxUATEREREVGIQ/AIo8uh8PeOHTukWbNmehuCJ7iemJhYKUEm47WN50W2VChgcC04BVNGWTBkrpnrtrVv395pn/DPP/9Ihw4d5PTTT6+yz4eqDwaaiIiIiIhI+vXrp6PL4QBy8eLF2o0uKytLg0y9e/eWU045hWvJIgyuMXMtWHgKRsHHH38sW7du1WzGbdu2SVJSknajRSAa+4j58+fLaaedxppNVAoDTURBhoX2iIiIKBCQtTB+/HjNUsABJGo2oTsdMpkQZMJ8oopicK16Bdfy8/O161xsbKxjBEqjbhs+SwSisY9AfbeoqCh+McgJA01EQYKF9oiIiCjQEExCVxhkKXCEKaLQDa4hqDR37lwdjbJFixZOWUuYh2xHBKJR343IFQNNREGAhfaIiIgomOCgklkKRKErkHXbqPpjoIkoCJgL7aEPtJGeykJ7REREREQUCKzbRhXFQBNRgCGghJTUzMxMadOmjWzYsEEDTUYxPhTe++KLL7TwHlJTMUVEROhk/t/ddZ5hICIiIiKiimDdNqooBpqIAgz1D1BIDwX1EBhCGiqK8BkTgkcHDhzQ7CZf+0B7CkL58j/6kzNgRUREREQUeli3jSqCgSaiAENAB4X01q9fr1lMjRs3dsp2OnjwoHTr1k2GDRumgafCwkINTuHSl/9zcnIc131VXvaUN/9jIiIiIiKi6od128gXfh/5ZWRkyOrVq2X//v268dWvX186deokSUlJ/j41UUjwttCe0Z0OAZuYmJgKvx6e1wg4uQakvAlcIWCF/4uKinx+n94EqsoLXFW3ETuIiIiIiIhCSYUCTWlpafLWW2/JJ598IsuWLdMsCzMcDCMDY+TIkTJmzBitLUNEwVFoDwEfo9aTP8wBq4pkWOH94X9/AlYV7Q5odAkkIiIiIiKiAAaaUKz44YcflhdffFFyc3O1cPFll10mbdu2lTp16uiBZ2pqqhYzxghad9xxh9x3331y4403yr333isJCQkWLz5RzVAdC+2ZA1axsbEVfh4EqhFsqkiwCpd5eXn6v2vA29vl9zfDCoF1IiIiIiIiqkCgCYElHMzdeuutMnr0aA0wlQU1Z95991154403ZMaMGbJ3715fXo4opIRqoT2jS6C/GVZG/aqKZlkheI5LXwNWRnfGitatMq4zYEVERERERCEXaLr++uvl5ptv9jozqV27dvLoo4/KXXfdJc8//3xFl5EopLDQXsUgUBMVFaWTP/wpuG4UXcclMjx9Xf6KZlWZ78eAFRERERERVZtAE7q/VQTqzFT0sURE1TVgVdHugLjMzs7W/30NWKH2VEWzqsz/h0I2HRERERERWY/jjRMRVVLAKjo6Wid/oH5VRbsDon6VUXS9IgGrimRVuT6GASsiIiIiotDid6AJZ+0/+OAD+emnn2Tfvn0ybdo0HXEOI9P973//k0GDBkmTJk2sWVoiohCDgA8mKwJWvgaqjOtGwAr/+8qbQFV5gSu8/1AOWCFIGEp124iIiIgohANNqEVyxhlnyNy5c7WQMa4jwARJSUkyadIkGTdunI5UR0REgQ9Y+Rvw8CfDCr8Rxv++sqLgenULWKH75Jw5c2TBggWOkSh79uwp/fr1C8qRKImIiIiI/A40PfTQQ/LPP//IF198IX379pUGDRo45qFBf/7552umEwNNRETVH4I0RvDGioCVu+wpb/73J2Dlb8F1I8OqKoJMGLH177//lszMTImPj9eRXP/9919Zt26djB8/nsEmIiIiIgpKfh0tfPrpp3L11VfL8OHDJTU1tdT81q1by+eff+7PSxARUQ1jZcDKm0CVp3kI5uB/BL0quvz+Zlh5gkwmBJmQudS+fXt9TbzfHTt26AmeDh06yOmnn+7X+iMiIiIiqgx+tfJ37twpXbt2LXO0ufT0dH9egoiIyC0EXxC0wWRVwKoiIwWihhX+r2jAyl3GFGoc7t27Vzp37qzd5mJjYyUmJkaaNWsmixcvlvnz58tpp51WrboCEhEREVFo8CvQhHoRKADuydq1a5260xEREQVzwAoBHX8Gx/CUReVN4AoBKyNwtWvXLg1cGdnCdevW1UATlhXd6BB8wn2joqIsXBNERERERAEONJ1yyikyc+ZMLfrtCgGod955R4YNG+bPSxAREVULNptNAz/+Bn8QYFq+fLkWAW/evLlmXBlZW/gfIwDiRI+/mVxERERERJXB5s+D77nnHtm+fbuOgGPUYlq4cKE899xzcsIJJ0h+fr7cddddVi0rERFRjYeuc3369JHk5GQ5cOCAZlkhqGTUaEK39F69erHbHBERERHVvIymbt26yZdffiljx46VCRMm6G2TJ0/WxjC6zH311VfSrl07q5aViIgoJOAEDkaXQ+Fv1GRCdzlkMiHI1Lt3b80oJiIiIiIKRv4N+SMiZ5xxhmzZskV+/fVXWbNmjdaoQHAJo+H4U+uCiIgoVGG0ufHjx+vocij8jZpM6C6HTCYEmTCfiIiIiKhGBpogOjpazjrrLJ2IiIjIfwgm4aQNRpdD4W90n+Moc0REREQUEoEmIiIiqhwILnF0OSIiIiIKmUATRsV54YUXZP369ToMM+ozuTaQN23a5O/LEBERERERERFRTQ40ffjhh3LFFVdIRESEtG/fXodhJiIiIiIiIiKi0ORXoOmRRx6RNm3ayG+//SZNmza1bqmIiIiIiIiIiKjasfnz4M2bN8vEiROrZZDp4MGDMnbsWOnatavUqVNHYmJipFWrVnLxxRfLkiVLvHqOGTNmaNdAd9OJJ55Y6e+BiIiIiIiIiKjGZDQ1bNhQiouLpTrCUNFr166VwYMHS4sWLSQ+Pl62bt2qwSMMH/3tt9/qaD/emDx5snTs2NHpNgSviIiIiIiIiIhCiV+BplGjRskXX3wht9xyi1Q36PI3b968UrdPmDBBa01NnTrV60DTkCFDZMCAAZWwlEREREREREREIdJ1DoXAkdF0zjnnyO+//y5btmyR7du3l5qqkwYNGkhsbKxmPPkiMzNT8vLyKm25iIiIiIiIiIhqdEYTRppDPSK73S7ff/+9x/sVFRVJsCooKJD09HQpLCzUoNjTTz+tQaOzzz7b6+c477zzJCMjw5EpNX78eLn11lt1ND4iIiIiIiIiolDhVyTk/vvv10BTdfbXX3/Jqaee6rienJwskyZN0vdWnri4OLnooou0zlOjRo1k165d8t577+nj586dK19//bXYbGUnje3fv18OHDjgdNvGjRsdQTBMREREFLoiIyMr/TXYHiEiIiKr2iNhdqQjhbC0tDRZvHixdntbv369Bor69Okj06ZN0wLhvsLqvPTSS+Xjjz+Wjz76SEexK8uDDz4oU6ZMcTtv1qxZmjVGREREoQuDr1Q2tkeIiIjIqvZIyAea3AWeunbtKscee6z88MMPUhEYzQ6j0F122WXy/vvvV+gM4rBhw2Tp0qW6HERERBS6ApnRxPYIERER+doe8anrnFHYG6Oyma+Xx7h/dZCSkiLnnnuuvPzyy7J161Zp2bKlz8/RqlUrR6OtPPXr19fJ0wdZFY1LIiIiCm1sjxAREZFVfAo0IeiCmkPZ2dkSFRWl172p0RTMxcDdycnJcWQ3VSTQhC54VZXqTkRERERERERULQNNRvFvYzS16lwMfN++fdKgQYNStyOL6auvvtKi4Oj+BgisIXsLt6HotyE1NVXq1Knj9HiMXnf33Xfr/0g3JyIiIiIiIiIKFRG+Foos63p18vjjj8svv/wiQ4cOdWRmrVmzRmbOnCmZmZny7rvvSkxMjN53wYIFOjLd6NGjZcaMGY7nOO6446Rv3756iQDU7t27tQg4ngdFwIcPHx7Ad0hEREREREREFMSBpprk7LPPll27dsnnn3+utZSQiYRgEW6/6aabpGfPnuU+B0aXmz17tvz++++Snp6uo9R16dJF3nnnHQ1KVddsLyIiIiIiIiKiigjZQNPgwYN18saAAQPEbreXuv2pp56qhCUjIiIiIiIiIgqBQBMKgfuapYP7I1uIiIiIiIiIiIhqNp8CTaNGjWJ3MCIiIiIiIiIi8j/QZC6ETUREREREREREZGZzukZERERERERERFRBDDQREREREREREVFwBJo+/fRT6du3r9SvX1/Cw8NLTRERITuwHRERERERERFRSPErCvTss8/K7bffLrVr15Y+ffpInTp1rFsyIiIiIiIiIiIKnUDTiy++KCeeeKL88ccfEhcXZ91SERERERERERFRaHWd2717t4waNYpBJiIiIiIiIiIi8i/Q1KJFC8nMzORqJCIiIiIiIiIi/wJNEyZMkPfff18KCwu5KomIiIiIiIiIQpxfNZq6desmiYmJ0qNHD7nhhhukVatWOtKcq379+vnzMkREREREREREVNMDTaeeeqrj/3HjxklYWJjTfLvdrrcVFRX58zJERERERERERFTTA03vvPOOdUtCREREREREREShG2gaPXq0dUtCREREREREREShWwyciIiIiIiIiIjI70BTfn6+vPrqqzJ48GCpX7++REdH6yWuv/baazqfiIiIiIiIiIhCR4UCTVu3bpUTTzxRrrvuOvn9998lNzdXg0y4xPWJEyfqfNyPiIiIiIiIiIhCg8+BpuzsbDnjjDNkzZo1ctNNN8m6deskIyNDduzYoZe4fvPNN8vatWvlzDPPlJycnMpZciIiIiIiIiIiqt6BppdfflnWr18vn376qTzzzDPStm1bp/m4/vTTT+t8BJ1wfyIiIiIiIiIiqvl8DjR9/vnncu6558rw4cPLvN+wYcP0fp999pk/y0dERERERERERDU10IQsJRT89gbuh/sTEREREREREVHN53OgKS8vT2JjY726L+7H0eeIiIiIiIiIiEKDz4GmJk2ayKpVq7y6L+7XuHHjiiwXERERERERERHV9EDTqaeeKu+++67s3bu3zPthPu43cOBAf5aPiIiIiIiIiIhqaqDp9ttvl6ysLBk0aJCsWLHC7X1Wrlyp9Zlwv1tvvdWK5SQiIiIiIiIioiAX4esD2rdvL6+++qqMHz9eunXrJr1795YePXpIcnKypKeny6JFi+Tvv/+WsLAwee2116RDhw6Vs+RERERERERERFS9A00wZswYadWqldx5550aVMJk1r17d5k6dSq7zRERERERERERhZAKBZpgwIABsmDBAtm+fbt2lUM2U1JSkhx33HHSokULa5eSiIiIiIiIiIhqbqDJ0Lx5c52IiIiIiIiIiCi0+VwMnIiIiIiIiIiIyB0GmoiIiIiIiIiIyBIMNBERERERERERkSUYaCIiIiIiIiIiIksw0ERERERERERERMEx6hwREREREVUfxx57rKXPt3r1akufj4iIQjijae3atfL111873fbnn3/KwIEDpWvXrvLcc8/5u3xERERERFTFDh8+LAcOHNBLIiKiKstouueeeyQtLU3OO+88vb5//34588wzJT8/X+Lj4+W2226TZs2ayYgRI/x5GSIiIiIiqsIMpAEDBsjs2bOlf//+MmvWLK57IiKqmoymRYsWafaS4cMPP5ScnBxZvHix7Nu3T3r27CkvvfSSBKODBw/K2LFjNfOqTp06EhMTI61atZKLL75YlixZ4vXzZGdny1133SUtW7aU6Ohovbz77rv1diIiIiIiIiKiUOJXRhPSaZs0aeK4/vvvv0ufPn2kc+fOev2SSy6Rxx57TIIR0oDR9W/w4MHSokULzcDaunWrzJgxQ3r16iXffvutnH766WU+R1FRkQwdOlTP9lxxxRXSr18/Wb58uTz55JOyYMEC+eWXX8RmY711IiIiIiIiIgoNfgWaYmNjJTMzU/+32+3y119/yTXXXOOYHxcXJ+np6RKM2rRpI/PmzSt1+4QJE6R58+YyderUcgNN7777rgaZbrjhBnnhhRcctyOr6fbbb5f3339fRo0aVSnLT0REREREREQUbPxKt2nfvr18/vnnUlxcLF999ZVmCQ0aNMgxf/v27dotrTpp0KCBBtC8KXw4c+ZMvUQtKrOJEyfqcxjziYiIiIiIiIhCgV8ZTdddd512Gatdu7bWJGrbtq0WDjTMmTNHunTpIsGsoKBAs64KCws1MPb0009rltbZZ59d5uOQwbVw4UJp3Lixdr0zQ5Dp+OOP1/lEZhxOmIiIiIiIiGoyvwJNl112mV7+3//9n9SqVUtHoQsPD3cU2z5y5EjQdx1Dd79TTz3VcT05OVkmTZok999/f5mPO3TokAbXjHpUrpo2bSp///23ZGRkSFJSksfnwUh9qHVltnHjRkcQDBPVHAhQlgeBT4zcGBUVpdtjWbh9EBHVfJGRkZX+GmyPkKc2Cy7Z3iAiokgf2iN+BZqMYJMRcDKrW7eujj4X7DDqHIp25+Xlyfr16+W9997TABmuR0R4Xj3GqHIYac4djGJn3K+sQNP06dNlypQpHgMOqampPr4jCmYomF+e888/X4OUKKyPIG5ZuH0QEdV8DRs2rPTXYHuEXBnBJVyyvUFERA19aI/4FWh64IEHZMyYMVr8urpKSUnRkefgrLPOkiuvvFKDT5s3b5YffvjB4+NQ6BwQkHInNzfX6X6eoJ7ThRdeWCqjadiwYZrNUt1qXJF1kWJc8vMnIqKqwPYIsT1CRERW8SvQ9PDDD8sjjzwi/fr10wDNBRdcIPHx8VKdIfB07rnnyssvvyxbt271GERDXSoEkXbu3Ol2Pm5HJlNZ2UxQv359ndxBoKEq0uUpuISFhTku+fkTEVFVYHuE2B4hIqKgGHUOxb6R0bR06VK9RCrV2LFj9fbqLCcnRy/T0tI83gdBgBNPPFF2794t27ZtK/X4ZcuWSY8ePSp9WYmIiIiIiIiIakSgqW/fvvLmm2/Knj17ZObMmdKrVy+9RHHt1q1ba8aTaxAmWOzbt8/t7chi+uqrr7TbWseOHR11ltauXavv0wwj7gFGqjN75ZVXNNhkzCciIiIiIiIiCgV+FwOH2NhYufzyy3XasWOHBpswoYbTQw89FJQjVTz++ONaBHzo0KHaPQ4ZSmvWrNHlzszMlHfffddR0HvBggUaPBs9erTMmDHD8RzI4sL9X3zxRS3cjS6Ey5cv14KaAwYM0PVBRERERERERBQqLAk0mTVr1kwDMDabTaZOnaojuAWjs88+W3bt2iWff/65DulbWFgojRo10ttvuukm6dmzZ7nPER4eLt9//70G0z755BP56KOP9Dluu+02uf/++3U+EREREVF1Y7fbnS6JiIiqPNCE0dcwFDsygX777TcpLi6WFi1ayC233CLBCCPNGaPNlQfZSZ5+ZBMSEmTatGk6EVmBDTsiIiIKFJSMQL1Vo/wFLn/88UfN3C9vNGUiIiJLAk1///23dif79NNPJSMjQ7vRXXrppZrVhAANEXmHDTsiIiIKdFvkjTfe0Pa90SsBl2jrr1u3TsaPH89gExERVW6gqUOHDrJhwwbNwEBhcASXLrzwQs3yISLvsWFHREREgYZMJgSZkLmEk8eAdj2u//PPP9r2P/300wO9mEREVJNHncPB8eTJkzXYhB8mBJoYZCLyr2FnfIfMDbu5c+dytRIREVGlwYljDICDQXEaN24s+fn5ejsG9WnYsKFmNs2fP581m4iIqHIzmtBnG6O1EZE1Dbv27ds7RmnEdwvF9RcvXqwNu9NOO43fNyIiIqoUaH8cPnxY4uPjdVCfqKgovR0D5mzdulXrse7du1fvZ8wjIiKyPKOJQSYiaxt2OHuIBh3k5uZKVlaW3o75RgCKiIiIyGqRkZFSq1YtbXugjR8RUXI+Ojo6WrvRpaWlSXp6up782r17tw78Q0REZHmgiYisbdjhDGFMTIzejgbczp07NXMQZxbDw8O5uomIiKhSILjUs2dP7bq/Y8cORxc5tEHwf8uWLbUmKwb/QbY1RpneuHEjT4QREZH1o84RkTUNu3///VcbdkamIAJOyGLCmcTExET5/fffpXXr1tK8eXPHWUYiIiIiq/Tr109Hl0N9SHTpB1zm5OTIKaecIqNHj9Y2CE6CbdmyRdasWSPr16/Xrv6tWrVirVaiaurYY4+19PlWr15t6fNR9cOjVaIgbdgZGU7nnXeeDBkyRPbs2aM7bTTo0JjDxBoJREREZBUMQjJ+/HgdXQ6DlBw6dEhPdl155ZUaaMJ8aNu2rZ78Qhe6zZs3aw0nTPXr15djjjlG6tWrxw+FqIYxSnkYvTGIysJAE1E1adjhTAMynpCmjmDTpk2bpEWLFtqgM4YgJiIiIvK3TXL66adrGwOZS7jEdVfoUte0aVOd0G5BwAnFwvfv369tGLRPmjRpwq7/RNWANxlIAwYMkNmzZ0v//v1l1qxZVbJcVH0x0ERUTRp2aNDhNnSdQ3bThg0btFGH1HU08tq0acOUdSIiIrKE0ZXfm8F/ateurVN2dra2S7Zv3y7Lly/XrnVou6C+k1GDkoiIaj5LAk1Ilf31119l3759ctlll+mPCUbPwlmNhg0bsnsPkYUNO9zeuHFjnQ4cOKABJ2Q6YcL3DQGnlJQUrnMiIiKqUkYGdvv27bVdghNiaKcgCxvtFmQ5JScn81MhIqrh/A40TZ48WZ588kkpKirSA+A+ffpooAlDs3fq1EkeffRRuemmm6xZWiJyghoImDDkMLrUIbiLqU6dOlo/gTUSiIiIqKqhYDhqSeKYACeiEXDCSLqYkPmEgBNOjnmTLUVERNWPzZ8Hv/XWW/LEE0/IhAkT5KeffnIMgwpJSUlyzjnnyP/+9z8rlpOIyoAMph49emjfaYz8gloJKCyOftQo1Gn+bhIRERFVBQSSEFA66aSTtK4L2igoKLxo0SIdTRcBKBQXJiKimsWvjKaXX35ZR8R64YUXJDU1tdT8Ll26yPTp0/15CSLyAYpvHn/88ZqyjsYbaj0tXrxY4uPjdXQYNPBQ64mIiIioKuEkNNooHTt2dIxShwLEGHUX7RNkQKG9QkREIR5oWrt2rVx99dUe52OIU9SQIaKqhVHoUCMB3edQlBPTihUrtDGHdHWksiOtnYiIiKgqRUdH6wkxtFF27drlGNgEE7Kf0E5BCQAiIqq+/DrSjIyMlJycHI/z0Q8bZy+IKDCioqK0MYdsJowAg2KcGAEG9ZwQbMLZQzT4iIiIiKoSMqyRyYTp4MGDGnAyak3i+AEBpyZNmjATm4ioGvKrD023bt3ku+++czuvsLBQPvroI+nVq5c/L0FEFkD2EhpsgwYN0rR1BJcwCgxGi1y5cqUOR0xEREQUCHXr1pWePXvKwIED9SRYVlaWLFu2TNsp69evl7y8PH4wREShEmi64YYbtJDfrbfeKnv27NHb8vPz9YcBhcBxIHvjjTdataxEZNHZQxQNR/FwnDFEjQR8j5csWSIZGRlcx0RERBQQqNHUuXNnGTJkiI5ejXYLuv0j4ITjC7ZTiIhCoOvciBEj5L777pNHHnlEnn/+eb3trLPO0kuMcoXb8UNBRME5CgwmpKujKx3qJGBCbTXUTcDww0RERERVDeU50O0f2djoSodudTt27NAJ2U/IemrQoIG2Z4iIKPj4XQ14ypQpMmzYMPnggw+0OHhxcbG0a9dOrrjiCunevbs1S0lElQYNNkzp6ekacNq9e7fs379fA01t2rTRwBMbckRERFTV0P5o1KiRTocPH9aAE9opOEmG7CcEnJCpzQFOiIiCiyXDTqFWEyYiqr6Sk5M1ONyhQwcNOKGY/4IFCyQxMVEDTo0bN2ZBTiKLYXRIK2GocCKimqhWrVpywgknaJc6dPvHtGrVKu1a17x5cx3kJC4uLtCLSUREVgWaiKjmwBnCrl276mh1OHO4bds2Wbp0qWYsIo0djbnw8PBALyZRyMBZ/IKCAu1KggMtIqJQFhMToyfF0M0fJ8XQVsGourhESQB0t2P3fyKiah5owqgQGF0OI0KkpqZqbSbXlNe33nrL35chogA05HDWEA05nDVEAw5nDvFdR6o6Jhz4ElHlZiCheP/s2bOlf//+MmvWLK5uIiIRPenVokULnQ4cOKDtFAxOhAlBeQSc0OUOBcWJiKgaBZoWL14sQ4cO1X7SrgEmAwNNRNUbgkkINqHBhiKcOGuINHV0r0PjDllOCEoRERERBUK9evV0yszM1IATMp0wmi7aJ+hSh/ZKVFQUPxwiouoQaLr11lslNzdXPvzwQx1djmmqRDX7zKHRWEMhTgSa0JhDtlPTpk014JSQkBDoxSQiIqIQhXZIly5dpGPHjtr1f8uWLdr1H9nYaKvgpBlqTxIRURAHmhYuXCiTJk2SkSNHWrdERBTUkKXYpEkTnfbt26cBp+3bt+uEFHUUDmcdGSIiIgpkNjbaIwgsoSsdTowZbRVkPuF2XHJUXSKiIAw0YWSHBg0aWLc0RFSt4PuP6dChQxpwMmoj1K1bVxt4aMQRERERBQLqMxknx9LS0hx1nFDTCdlPCDgh04mDnBARBVGg6cwzz5Q5c+bItddea90SEVG1g26zPXv2lIyMDK3htGvXLq3dlpycrPWdMAoMzxoSERFRoKSkpEj37t0lJydHu9Qhu2nFihWyZs0aLQuA8gCxsbH8gIiILODXMAxPPfWULFq0SKZNmyb5+flWLA8RVWNJSUnSrVs3GThwoDbYjhw5ovuIP/74Qxt0xcXFgV5EIiIiCmEIJmFU3cGDB8txxx2nRcKRlf3bb79pAXFkPhERUQAzmvr06SNZWVly9913yz333CONGzculXqKLAZkOBBR6EC3WjTe2rVrp2cNUTB8+fLlOlod0tRx5jAiwq/dDxEREVGFoR1iDHKyf/9+ba8gIxsTsp/QXkHtSWZkExH5zq8jvebNm3PnS0QeRUdHS4cOHbReE0Z/QW2Ef//9VzZs2KCNOzTiONwwERERBQoCSUbNSZQAQMBp586dsnjxYs1+MoJRKDBORERVEGiaNWuWVBbs6FH/aeXKlXqWAT8C9evX1yyJfv36cWhSomp21rB169bSqlUrbbwhRR3BJgSeELBGwAlZUERERESBLAHQtWtX6dixo54gQ9AJNZzWr18vzZo103YMiogTEVHZgq7vyvfffy/Tp0+Xn376Seu52O12p/kIOGEEiTPOOEMmTpyoBcmJqHrAdxeBJTTW9u7dq8Emo2sdRoRB5lNiYmKgF5OIiIhCGLKtMZgJTpLt3r1bT4yhrYIJJ75xgowj6xIRVYNA0/z58+Xmm2/WSwwzOmbMGDnppJN0J1+nTh0NOKWmpuqB6bx58+THH3+Us88+W0e6ev755/WSiKoHBIxR9wAThhhGhhMynTAhdR0BJ4xkR0RERBTIE2Q4LsF06NAhrTuLE2XobYETYwg44USZa41aIqJQ51OgCemi2OGuXbtW+ylj51oeb4uBo7D46aefLj///LMMGjTIY+2nvn37ahAKgadff/1Vnn76aX1sUVGRL2+FiIIEzghiOnz4sAac9uzZI/v27dNAEwLNOHNIREREFEhol2DKzs7WbGyMpouBTtC1DjWcUMspJiaGHxIRka+BJuxEEQAygkBWFgNHPSYEkbyF1x0yZIhOf/75pyXLQESBU6tWLTnxxBMlMzNTg9PIbkKGI+olIMMJo1py5BciIiIKJNSUPPbYY6V9+/YabELQCT0u0HZBWwUn4pOTk/khEVFIi/Cn+LeVxcC9DTJ98cUXMmLEiAo9loiCH4psohAnGnBotKEY55IlSzSTErUSUN+JKepEREQU6IFOEFRCjw9kYqOOk1EGAJlPmNewYUOeJCOikGSTagbd5txZuHBhlS8LEVUepJ/jjOHgwYM16FRYWKijUP7222965rCgoICrn4iIiAIK2dYIKKG2LEbGxgkxlANYtGiR/P777xqAYpuFiEJNtQk0vfLKK9qNxhPUdfIFDlQffPBBOfnkk/XHIT4+Xjp16iQ33nij1ojxxowZMxxdCV0ndAEiImtGfmnXrp0GnDp37uyoE4cabaiLkJuby9VMREREAYcuc8cff7y2WdB2wUmy1atXa5sFl1lZWYFeRCKi4Os6N3DgQJ9fAEEXZCD4C13m7r33Xt1BI7uhe/fujgmFwZG+6ou33npLXnrpJTnnnHPkoosuktjYWPnnn39k+vTp8v777+vIdh06dPDquSZPniwdO3Z0ug0j5RGRddBdDunpqBWHoYZROBwTzhTi7CG61SFgTERERBRI0dHReryCQU127dqlbRVjwgludKvjsQIR1WQ+RWewcwxUMV6cCQAcSD7zzDOyePFiLSD+3HPP6fDod911l0/Pd8EFF+hjUIDYcPXVV0vv3r3lmmuukfvvv18+/fRTr54LBckHDBjg4zsiIn+GGsZwwqiJgGAT6jihIGejRo20cDiLcBIRBT97Qb4U7Nse6MUgD+x5OY7L/J0buZ4qqEGYSIPWTeTgoVjZsm2H7Fi1RKekhARp1aK5NGnYQNs2vops0FzCIqP4uRBR9Q80bd26VQINB5M4A3DWWWf59TyeurZdfPHFGmhasWKFT8+HkbIiIyP1DAYRVV1NBEypqakacEKmE6Z69erpWUSeLSQiCl4IMu25+7xALwZ5kLe5pN2ft3kVPyeLNBWR2oXFsiMzX3ZmFcg2u0iULUyaJkRKk/hIiQ73PuDU6PGvJappG6sWjYjIUjZfu86Zu8HNnDmzyoNPKAa8d+/eSnt+pLdCgwYNvH7MeeedJ4mJiVq8GAe306ZN0z7ZRFQ1EFDq1auX9O/fXzOdDh48qN1f//zzT91foHstERERUaDFRdikfa0Y6dsoQdomR4stTGRzRr78tSdLVh/KlSP5RYFeRCKiqs1omjVrlowbN85pBLj33ntPWrZsKVUF3du+/PJLzWLAQeSECROkR48e8uKLL1pSn+W+++4rc3Q7s7i4OK3vhIJ/6LKDIBXWx6RJk2Tu3Lny9ddfl5sKu3//fu36Z4bMDMAIFRylIvQYQRFc8vP3DWqtHXfccVr7YNOmTTrEML5fCQkJWsMJQaiKpKcTBRL3CYSM6coWiPZIYVGRFEWw60/QMsplhIXxc6oEaI00jYqWJrXsciCnULYfyZNdeUWyKy9fUqIjpHlilNSJifBYtgTfnzCOwEtViO0RivShPeJToAnBlC1btpTa2KoSRoTDkOfw0EMPyemnn64ZCwjuoLi3Px577DEtOj5s2DAZPXp0ufdHkAmTayDs0ksvlY8//lhrPKErXllQfHzKlClu56Wnp2uXIAotRmMel/z8Kw5Bpbp162r9ph07dui+A11bERjHPF8HECAKFO4TCCfXKlsg2iMFR7Ils94xlj8vWaMoaqeIZElRVCw/p0oWJyIYgigjN192pWfJnsxc2Z0vEmsPlybJ8dIwKVYiXE6UpR7JlkgeJ1AVYnuEGvrQHvHpSGvQoEHyyCOPyKJFiyQlJUVve/311x2Fut1BFB4jvFkFXdTy8vJ0SHMUBP/uu+8kOztbsxj8CTQ9//zzcs8992hR7w8++KDCRc/xuAceeEADTd9++225gaaJEyfKhRdeWOoMIoJdKGjMGjOhGynGJT9//zVu3FhrsiHghEA5ajjhrD0CThjFLiqKZ9MpuHGfQFUhEO2Rgrx0KTiw2fLnJWuE5+c4LhP4OVWJBLRbbCJ5ccWyE3WcDuXLrlS77AsLk8YJUdIsIUpiIkoCTnUS4ySSo1xTFWJ7hHzhU6Dp2Wef1UAKAkvIIsL/GPkNU1UFmk477TQNCBUXF2tQCBs8gk+HDh2q8HNiFLvbbrtNA2nffPONdonzBw5ejTT08tSvX18nd/DeqiJdnoKLEeTEJT9/a2A9duzYUdq1a6fd6XDwhKATBhdo0aKFdrVDtzuiYMR9AlWFQLRH7OHhEl6Yb/nzkkWMngt2Oz+nKoYjkXYJNmkdFy17sgtke2aB7DycJbsOZ0m92AhpnhAlTcPD2U6kKsX2CFVaoAlns959913HddQ6ef/997WrWFV5+umn5dprr5X169c7lmXt2rUVPtM2depUueuuu+SMM87Q2k8o6O0vLFtVpbpXBIcTDm4cTrhyNQoXadiuuezeu082bd0m6xbskPUL/5KmjRpK65YtJKGcWm8cTpiIiIiqQriOSBelU2puoWzPzJf9OYU6pc5fKO3DYrW0CetPElG1DjRhlLl+/fo5in+jjhEK7FYlBJQ+++wzp9vWrVsnI0eOrFBNJmRHnX322fL5559r/RZ30DUPmQ9IHcfO3IB6Ba4BLow2d/fdd+v/SDcPRhxOOLhxOOGqgcTztiJyMLdQth3JlxV5RbJCROrFREjLxChJjg53+zgOJ0xERERVDYXBMWUWFMmOzAI5kpUlS5Ys0ZPkODZDhjbLARBRtQw0uY4yh8DTkCFDdFjxqoQaK9ixoovbwIEDZfjw4Tr54uWXX9YgU4MGDeT8888vFbzCKFVGoGjBggVy6qmnamBtxowZjvugLlTfvn31EgEoLBdqM61Zs0ZrM/m6TERU9erGROiUnlckW4/ky4HcQp1SosM14IRGHREREVEwSIgMl44p4VKn70mytzhKSwGgdwd6VDRr1kxLeKCsCBFRIPl0BBUfH6/ZPYEcdQ4BoauuukprrWCnmpmZKStXrtR5CPh4a+HChXq5b98+GTt2bKn5OCtQXkYSugzOnj1bfv/9dx2RBeunS5cu8s4772hQqqIFxYmo6iGDqWt0rJ4pRMBpX3ahLM3LkcRImwac6sd6HmKYiIiIqCohe6lN0zZaZxIj627evFkHPsFUr149vR2XbLsQUdAHmo499lh58cUXdadljDqHYE9ZxcAB3e2sgiykr7/+WjOMjGVAYfBbbrlFAz7eQmaSOTupLCg67i6o9tRTT/mw5ERUXc4Udq4dK22SimVbZr7sziqQlYdyJS7CJs0TIqVBcXGgF5GIiIhIoT5TkyZNdEpLS9OAEwJPGGEXPTQQcGratKmEh7svCUBEFPBAE2oajRgxQruaGR599FGd3EFwBlH0oqIiscrBgwc1yARGhB6jSRlZTUREVsDwwe1rxUirxGjZkZkvO7IKZO3hPDk89y9p38umXYgjItitjoiIiIIDTsJ3795dcnJyHKPrrlixQst6oLcGutVZMfAREVF5fDpKQoAHUXJ0O0Ok/Morr5Srr75aevfuLVWlQ4cO8tdff8nJJ5/syDLCkLt5eXlVtgxEFDqiwsOkdXK0tEiM0uymI2Fh2mDbuHGjBpvQaPM0kAARERFRVYuNjZVOnTppqZGdO3fq8RvaLZs2bZLGjRtrllOtWrX4wRBRpfH5dDx2SigADgg0nXLKKVqrqKrcd999ctFFF8lbb73lyGj66aefpHnz5lW2DEQUeiJsYdI8MUoa9D1J9kuMNtY2bNigl9j/YARODFBAREREFAyQeW2MSLd//34NOO3atUsnZD8h4IQBjVjHiYis5le/D9RGqmpnnnmmPP7443LZZZdpAe4+ffrIqlWr5PXXX6/yZSGi0KyF0Lxpcx3ZZe/evXqGcOvWrVp8E2cJ27RpI0lJSYFeTCIiIiKFQBJG2saUkZGh3eqQ6bR48WLNfkJ2Nk6aoZcIEVHAA02HDh2S77//Xvv+IuiTnJyso64NHTpUateuLZXhiy++kFGjRskFF1ygI76hZhP6IiM9lIioKhttOAuICfshBJyMs4T169eXtm3bVtp+kIiIiKgicDKsa9euWo4EJ8lwsuzff/+VdevW6Uk0ZDlhJG0iooAEmlAA/IknnpDs7GynEdlw8IXuI3fffbdMnjxZrDZmzBgtSI7XQHaTAXWjevToYfnrERGVp27dujoh4I6A0+7duzVFHYEmZDgh8MS0dCIiIgoWqC+JGk5op6Ddgm51CDphQuYTspww0jgRUZUFmq699lrtqoZhNG+88UbNKEI2Ew6yFi1aJO+9957WUtqxY4e88sorYgU8zwknnOBx/qBBgzQVlIgoULAfxP4QZwkRcEJa+oIFCyQxMVEbcuhah653RERERMEA7ZKmTZvqlJqaqgEnlAbYt2+ftl+Q4YRjvvDw8EAvKhHV5EATCm8jyDRy5Eh5++23tV+v2fnnn69BpquuukrvN3z4cDnttNMs6TJ37733SlZWlrRv314P5owJGVUcZpyIggVSzpGWjn0VGmxITV+6dKmsXbtWi4ajDgIbbERERBRM6tSpoxN6rKCO0/bt22X58uU62q5RVDwmJqbSXj+/0C7bUwsq7fnJPzn5dsflxn35XJ1BpnmdSImKKBksrVoGml599VVNs0TWkqfgDoJPM2fOlCVLlmgmkhWBpl9//dVxAPfMM89o8bo5c+bIc889JwcOHJC77rrL79cgIrISGmOoH4d6TUhFR9AJgxesX79ezxCi0cbCm0RERBRMUKLk2GOP1RNmCDYh6IS2C7K1kZ2NNgyyuK2GINN5L+6x/HnJGlt35enlql15/JyC0Nc3NJI2DaKk2gaa5s+fLxMmTCg3gwjzMTLc9OnTxUrY2SHSftZZZ1n6vERElQXBJASb0DBDl2I01JDdhEucHcTtlXmGkIiIiMhXOJ5DGwX1mtCVDifMUBYAE47HMA/1nFiHkoj8DjSh7y5GJPAG7peWlub1c2dmZsq4ceOkX79+MnHiRLf3wU6NiKg6Qnc5ZDGh69yePXtkw4YNsmnTJj1TiNoI6FaXkJAQ6MUkIiIickAgqWHDhjqhJi8CTiggjsGYkP2EQBTaNixlQkQVDjQhTRIF4ryB+2EITV+65X322WcyduxYXxeLiKhaFd5EYU1MOEOIzCZka2Jq1KiRFg6vVatWoBeTiIiIqNSxYLdu3bQ0gDFK3erVq2XdunUabELQCcEnIgptPg9/hOLbn376qVf3xf3KGinO1VdffSV9+/Ytt6bTo48+KmeccYZmARARVWdIOT/55JN1wv/IdJo7d678/fffcvDgwUAvHhEREVEp0dHRWsNpyJAhOgAKgkvIdPrtt9800wm9YIgodPkcaLryyitl2bJlcuutt5Z5v9tuu01HKRgzZozXz41o+NChQ8u9H2pE4UAMI9EREdUEtWvXlp49e0r//v010wkNNASbsK9D8AmjaxIREREFW5Y2MpnQfunTp4+eNEOvlnnz5unATajnVFxcHOjFJKJg7zo3cuRI+eCDD3S0tz///FOuvvpqOfHEEzWNEn12Fy1aJK+//rqOCoegEe7vrZycHKlfv75XB2R47p9++kluv/12X98CEVHQQndjZIJ26NBB6zehOx32qxhxE13qUMsJjToiIiKiYFK3bl2dsrKyNLsJA6AsXbpU/v33X61RiQFQkAlFRDWfz4Emo0scinW/++67cs0115SajzPvo0aNkldeecWn58WOydv6T7169bJ8RDsiomCBFPTjjjtO2rVrp92EUQMBWaKogYBRXtBYY9FNIiIiCjY4OYY2DE6a4YQZ2jFov2AQFJwwQx0nX+r4ElGIBJowDPfbb7+t3ePQfW3lypWazYQdBnYqI0aMkM6dO/v8vF26dJEff/xR7r777nLvi9HnvA1KERFVVzjzh4Yaspm2bdumWU44M4jGGhpqmKKiogK9mEREREROIiMjdURdnCBDGQAEnIzBT5BggNvRmwWj2hFRzVKhQJPh2GOP1ckqw4cPl2uvvVZ++OEHOfPMM8u8L3ZW2HkREYUCZC+hsYbAEuodYKS69evXa+AJtREwLzY2NtCLSUREROQEgaTGjRvrdPjwYe1Wt3v3bh30BNlPaNs0a9aMa42oBvEr0GQ1FA5/6qmn5LLLLpPPPvtMBg0a5PG+yHzCSAdERKFYdBMNMgTcEXAyutahiDgynxITE316zvxCu2xPLai0ZSb/5OTbHZcb9+VzdQaZ5nUiJSqCZ+OJiLxRq1YtrUXZqVMnbbtgWrVqlXats8c1kuKCGLFFxnBlEoVSoGnatGly4403atc5X6DI9wsvvCCTJk0qe2EiIuTLL7+Ufv36yRlnnCHjxo3T1+vYsaPjPkVFRfLQQw/JX3/9JY899phPy0FEVBPPDh44cEADTsh0woQRXxBwwsAJ3kCQ6bwX91T6MlPFbN2Vp5erduXxcwpCX9/QSNo0YPdVIiJf4HgSpQHatm2rbRdkOa3ftkmyth6WiPh6EpXSXMJja3GlEoVCoOnJJ5+U559/XguBo9h3eSmO2GHMnDlTXnvtNQ0QlRdoAkS3MZrdJZdcoo/DCHY4e4/spYKCAlm9erUeVCH4hCAUEVGoq1evnk5paWkacEL9un379mmgCQ04b0bzJCIiIqpq4eHhOsAJjvfiVu+S8N8XSmHmfp1sMUkSVau5RCSijhNH3CWqsYEmFJ994IEHNKMIl6jP1Lt3bz1zjuLcGG0uNTVV7zdv3jxZu3atZilNmDBBHnzwQa9fB9HthQsXapAKI9ctWbJEi+AaO6MLLrhAXnrpJdYjISIySUlJkR49ekhmZqYjw2n+/Pk6UAP208h+YsFNIiIiCjZon9SpV1/impwgRXmZUnB4hxQc2Su5e1dJ2MFoiazVVKKSm0hYODNIiWpcoAl9apHRNHnyZM00+vTTT+WNN95we18EoaZMmSLjx4/Xbhw+L1hEhIwdO1YnFI3D6ATIikLBWw6HSUTkWUJCghx//PGaCYrMUgTqEbBH8B/7UGSjImhPREREFGzCoxMkvEFHia7bWvLTd0nB4Z2Sf3CT5B/aKpGJDbVbnS0qPtCLSURWFwNH4Oi+++7TCaMFGN3ZAN03EGTCkJVWQYALExEReQ+j0GF/jO5zKLaJoNPKlSt1tDqM8NKyZUuO3klERERBCdlL0bVbSVRKCyk8sl/yD2+XAgSe0ndJeHztkm518dYdcxJREI06h4BS//79rVkaIiKyXFRUlLRr106zmZDdhIATspvQvQ7BpuK4JlzrREREFJRQnykyqaFORTmHJf/wDq3hlJN1SGxRcRKZ0lwiExtJmI3Z2kQ1JtBERETVA7rLHXPMMRpc2rVrlwaatHh4+jrJ3RejZwzRYCMiIiIKRhiJLja2lhQX5JbUccrYJXn71kr+wY0SmdxUaznZInwbIZ2IrMdAExFRiLHZbFqnqWnTpjo63awFa6QgfbMUZOyWiIT6GnAKj0kK9GISERERuWWLjJHoem0lqk4rKcjYo0En1HDKT9smEQkNJCqlmYTHJHPtEQUIA01ERCE8wkvDhg3lxF61JXZWiuSnbZHCI/t00toHKa0kIi4l0ItJRERE5FaYLUKiajXTbKairINax6nwyF6dkP0UWauZnkTjqLtEVcsm1bgLSPPmzWXmzJmBXhQiomoPASUMKRzXvKdEJDaQouw0ydm5WLJ3LNQ6CHa7PdCLSEREROQWAkkRCfUkrml3iWvRSyKTG0tRbobk7lkpWVv/0kwne1EB1x5RFam2gSZ0+8jJyZErr7xSunfvHujFISKqEdBlLrbRcRLfoo9EJjeRotwjkrN7hWRv+1u71tntxYFeRCIiIiKPwqMTJaZBJ4lvdbJE1TlGxF4seQc2SOaWPyV3/1opzs/m2iOqZNW26xyG6oZly5bJTz/9FOjFISKqUVAUPKZBx5LaB4d36ggvuXv/lbDUzTqcMIJQHN2FiIiIgpUtIlqi6xwjUbVbalkAZDWhTYMpIr6ujlYXEVc70ItJVCNZFmjKy8uTgwcPSr169XQo7apy/PHH60RERNbDyC3RddtogfCC9F1a+yDvwHrJP7RZIms1l6haTSUsvOr2+URERES+CAuzSWRSI50Ks9OkAHWcMg9IYdZBsUUnaI2niKRGej8isobf3yZkFA0aNEgSExO1ZtKff/6pt+/fv19v//XXX61YTiIiCqCw8Eg9Ixjf8mSJrt8ew71Ifupmydzyl+QeWK/DDBMREREFe03K2MZdtVsdMpqKC3Ikd98aydo8V/JSN0lxYV6gF5GoRvAr0LRy5Urp27evbNiwQUaNGuU0r379+pKdnV0pxboXLlwoCxYskKysLMufm4iIPEN3OZz5i295ksQ07Cy2yFgpSNuuhTZz966W4nzul4mIiCi4of0SU6+dJBxzikTXa4cUbslP3SJZW/6SnL2rtJA4EQWo69z999+vQ2MvWbJE8vPz5e2333aaj4ymzz77TKyE4t94ztjYWDl8+LC0a9dOTjzxRC0IftNNN1n6WkRE5Hl0l8ikhjoh9VzrHmTs0QmjvkSltJTw2GSuPiIiIgpaYbYIiUppLpG1mklR1gGtSVmYsVen8LgUPbkWHl9P2z1EVEWBpjlz5sidd94pSUlJkpqaWmo+utLt2bNHrPTFF1/I6tWrpWXLlrJ7925ZtGiRTr/88gsDTUREAYCCmpiKcg5rwEnrHmQeKGmgpbSUiPg6/FyIiIgoaCGQFJFQXydkM6EmZeGR/ZKTnSZhkbEacIpMbqyBKSIqn1/fFHRdS0lJKXN+cbG1Q2Ejg6pJkyb6f+PGjeXcc8/ViYiIAis8tpbExtaSorxMyU/bqiO85GQvFVtMYknAKaE+zwgSERFRUAuPSZLYhp2luG6uDoSCUeowEApqOGHUXQSd0PWOiCqpRhOyipYvX+5x/ty5c7Vrm5VuvPFGef311y19TiIisk54dII20FA4HKnoxfnZkrtnpWRv+1vy03eK3W7tCQgiIiKiShl5t05riW/VV2IadBRbZExJXUrUcdq9XEewI6JKCDSNGDFC3n33Xe26ZjD6r6II+Ndffy0jR44UKz377LNy++23y+jRo+X//u//ZOfOnRV6HhQwf/DBB+Xkk0/WLKn4+Hjp1KmTBrJ86e6Hgud33XWXBt2io6P18u6779bbiYhCGRpkMfXbS0KrkyWqTiuxF+VL3r61krXlT8k/tFXsxYWBXkQiIiKicgdCQSZTfIs+Etv0BC0XgBIBOTsXS9b2+VqfkifRiCzsOoeAyv/+9z8dea5Pnz4aZHrooYfklltu0RHpTjjhBLn55pvFStOnT9fi45juuOMO2bJlizRo0ECLgX/77bdeP89bb70lL730kpxzzjly0UUXaXHxf/75R5///fffl3nz5kmHDh3KfI6ioiIZOnSozJ49W6644grp16+fZng9+eSTOioe6kbZbH7F8oiIqr2w8Cg9IxiV0kIK0ndrHae8gxu1e11kclPNerJFRAd6MYmIiIjKFBFXWydka6OOE4JMGHU37OAGbdNE1Wqq7R6iUOdXoCkhIUH++usvHX3ugw8+ELvdrkGXWrVqyXXXXSePPvqoZvlY6YwzztDJkJ6eLosXL5Zly5b59DwXXHCBZiJhWQ1XX3219O7dW6655hp9T59++mmZz4FsLrzfG264QV544QXH7chqQtYVAlajRo3yabmIiGr+yC5NpTBjjwackNmUn7ZdC2wiEMWaB0RERBTsbFFxElO/g55IK8jYraPV5adu1naNjsqL0eqiEwO9mEQB43e6TWJionZn279/v0579+7VEegQeME8K3z00Uce5yUnJ8vAgQPl1ltv9ek5TzzxRKcgk+Hiiy/WyxUrVpT7HOgeCLfddpvT7RMnTtQMKWM+ERH9JyzMpinocS36SEyjLmKLjtdCm1lb50nOnlVSlHeEq4uIKMBwAtl8SUSlhYVH6oky1KWMaXSchMckavZ29rb5kr1zsXax43eIQpGl4zPWrVtXKsObb74pl1xyif7fokUL7SaHbnnGJbrOWWXXrl16Wd5zYoexcOFCHfkOy2SGINPxxx+v84mIyD10t45MrK9TYfahoyPV7dUpPL6ORNdupSPZERFR1ckpLJb5+7NlV3aBXsflrN2Z0qt+nMRGsCQEkec2TQOdinLSNcOpMBOj76Zp9hMynCKTGml2N1Eo8GtL/+STT+S7775zm7mDQAwKdp933nlaNNwfv/32m1PQyajRhK5rmzdv1mLeCDihXpS/7rvvPr0cM2ZMmfc7dOiQFvzu3Lmz2/lNmzaVv//+WzIyMiQpKcnj8yAL7MCBA063bdy4US8LCgp0slphUZEURbDvcNA6WlAfl/ycgg++P2GV8L0MpKKiQomyFQV0GaISkiUuoasU5mZo2nlB5gHJ33VAwmOTJTqlpUTE13EMNhHCu4SAf07k/vtTUFC522ZkZGSlr3q2R8gIMn28OVWW7s+SrIKSEUJx+dnmDNmUWSQj29VhsClIsD0SxOITJDa+oxQXHiP5aTskP32XFB1cI8WHNkgUSgWgNmVkjFQ3bI8Et6Iga4/4FWh6+eWXpVWrVm7n4YAgPDxcC277G2gyGzJkiE7FxcVaaBuBHCPw5K/HHntMvvjiCxk2bJgGycpijCrnqQZVTEyM435lBZpQfHzKlClu56H+FLohWq3gSLZk1jvG8uclaxRFYSTFLCmKiuXnFIRSj2RLZCV8LwMpO6NAjknMlKCQaBOpd4wU5jeUzIM7JCd9n0jaXonIjpf4Os0lNqmehIXYIAs7w4skC9my4UXB8zmRQ3ZGqqTaKjcQhBNqlY3tkdAy/O1f3N6enV8oR/LyJUzCJDu/JNCUkV8ss3dnalbTG2sOSVxU6cOHL8cOqfRlJmdsj1QTKQ3FXlxP2zNZqTulMHedyN71EpNUT+JrN5GouGSpLtgeCW7ZQdYe8SvQtGbNGjn//PM9zu/WrZt8//33YiVkLSHbCEGY9u3ba60lTCeddJJfz/v888/LPffcIwMGDNDC5uWdOY+Li9PLvLw8t/Nzc3Od7ucJ6jldeOGFpTKaEOxC/ak6deqI1Qry0qXgwGbLn5esEZ6f47hM4OcUdOokxklkJXwvAym9uEA2Hwm2LK0EkcT6Uhybp8XCcTbQfnir2CL2akFxnBHEcMOhIKco3HG5+UhCoBeHXMQl1ZE6dSo/46iysT0SWsKLCtz2RsjPLxR7sV2ibHaJtImgOpMNYafiIim0i2TnFUukvVBsR9vJ+jcsTLK3rRNbmEiELUzCcbI5TEou9XrJCWiyFtsj1UxEstjrt5XC7FTNcircd0hk31oJj0nSDCeUEUANy2DG9khwiwuy9ohfgaYjR45IVJTnLljIaEJAyEqTJk2SO++8Uy699FLp2LGjnHXWWXoddZEqmv3zzDPPaEHvQYMGyTfffFNucAhq166t99u5E9knpeF2ZDKVlc0E9evX18lTalplpMvbw8MlvDDf8uclixhFN+12fk5BKCI8vEq6sVSl8HC75BcHadDGFie2Oh0kulZryU/fKQUIOu3bKGEHt0mkBpwwjHDN+jzK2CUE7+cUwsLDI2rEPoHtkdDyy9mlM9vzi+wydek+2ZtdIK2To2VnZoHYxS7F9pL9z+7sAkmJDpcRx9TSgJLZ6v0ZZb4egk0ITkUYl0cDUI6glA3zwhzBKr00zTPfD5fGfUM5gMX2SDUV20AiYxuILS9TCg7vkLyMPZKXvUbCIjaXBJxwIi08OEucFGNncPSS7ZHgEx5k7RG/Ak3NmzeX+fPn61kwdzAPxbKttGPHDrnjjjv0hyUiIkKmTp0qrVu3rnA1fzz+rrvukjPOOEO+/PJLR5e38uD1kUk1Z84c2bZtm1NB8JycHFm2bJnfWVZERHR0nxseqcXBo2o1LxlGOG2b5B/cpPWcEGyKTGkmtojqV++AiChYIIMpOSpctmTka2SpWcJ/ByxoZx8pKJJOKTHSv1G8FEuYFNoRhLJLYbGUXNpFiortUmTHJHr537ySgFWhzhfJLSouuU8xQlkVZwSrzMEpmyObyghWlfxvBKtK7vtfwOq/ef8Fs4gqW3h0goQ36CjRdXEibZeOvpt3cKPkHdoikYkNNXvbFhUfFB9EcUGOZG+fLwXpJYNm4TJz0yyJa95LbJGxgV48ClJ+BZrOPvtseeGFF7T7HIp+myEz6KOPPvIYhKqolJQUrXsUHx+vE7quoZ5Sly5d5JprrvG5JhO6y+F9fP755x7rLeH1tm/frl3ZGjVq5Lj9iiuu0EDT008/revB8Morr2iwCfOJiMg66C5XcsaviRQe2acj1WnQ6fAOiUxCw6ylju5CREQ+7l/DwqRL3VhZn54ne7ILpVFchN6GIBOuJ0SGywn14iQ20trMSudg1dEgVXFJ4KrY6bpzsKokoGWXomJxzMspLnbMryiEmczdAG0eAlJOWVlH/zeytpwzrxAIK5lHVGp7C48qOZGW0kIKj+yX/MPbNZCDCSPw4gQbBkQJZJApbelHkrNziRTno2Kk6OXh5Z9LXupmSel2CYNNZH2gafLkyfLZZ59poAm1jVCTCZYuXSqzZs3SbCYEcqzUr18/HenuoosukuOOO07mzp0rvXr1kl27SiKsvhQyx7I1aNBAlx/vwywhIUHrJMGCBQvk1FNP1YDWjBkzHPdBrSiMuPfiiy9qF0Es2/Lly7WgJtbH5ZdfbtG7JiIiM9QxwDDBEYkNpSjroAacCtJ36xSRUF+iareQ8JjqU2CTiCgY9KofJ5vT82TpwRxZdShPYiPCJLvQLgmRNulWN1Z61rc+kI8ATJTGrqwNxJRkVxmZVUeDVKbAlTnzCsEqvZ/pf8f90U3ICGr5GcAyAlDO2VXOASnXGlf/dTc0AlklQS+MTB1xdHAkqintmoY6FeUc1vqUhVkHJCcrVU+goVxAZGKjKq9PiUwmBJnCImMlLDJOJPewXuJ6zq6lEl2ntSS07l+ly0QhEGiqW7euzJs3TyZMmCA//PCD/PHHH3o7zn4MHTpUgzme6g9VFAI9Rt2nW265RWs1oWC2r93UFi5cqJf79u2TsWPHlpqPrnBGoKmsGlQodv7QQw/JJ598ohlcyHhCvaf7779f5xOZDfnfpnJXyM7MkvpZK1Jzyr3/L+e05gqmkKbdqBPq6YSGGVLOCzP36xQeX1sznCLiagd6MYmIqoXYCJtc0jZFazQtP5gj6flF2p2u69EgE+ZXFxrUEWsDWMju+i+byjmYZfzvnHnlfD/zPEy5RSXdDysSwEqZNUci627UQBOOOVBSxPXS3W3l3de4Hsr1rwItPLaWxMbWkuKCXK3jVJCxS/L2rZX8gxslEuUCajWtknIBxcVFkrV9gRYwj0xpKVKU91/bK6mR5O1ZKTm7l0v8Mf24vZC1gSZo1qyZfPvtt5KWlqajpUGbNm20i1tlwI7PGInttNNO0+ymJUuWyMiRI30OWJmzk8qC7CRPNaCQ+TRt2jSdiKyQFBUuscUY7YU/8ES+NszimnSTorwjkn9omxRm7pOcrENiw4guCDgl1GNDiIioHAgm9W+cIP0axUtBcUntJgYd5L8DbGQgWZx9ZQSwzIEoI6MKhZe1/pVxH51nl5QmjcVWt4kUFhZKUVGR4xJlRYz/i4uLK7xMCGD5G7RyvcTEbcmHzyAyRqLrtZWoOq2kIGOPBp1QmxIlAyISGkhUSjNLs7fRTa4oN0OKctOlODdDCrMOSd6BDWIvKhB7fqbTffE5hkXF6X2luEAkSAuYUzUONBkQWOrRo4dUJuwwu3btql3zjIrqeM3Kfl0iqzADiajyhUcnSmyjzlJc0FobY+hOl7tnhaaeowYCzsIF+xDCRESBFubo0kbBGMBq1KmjRDVtU+Z9EGjC8ZM5EGW+dHebp/ug/qxxW0UHYYKyglS70+2Su++QhNkiEOk6eongVHhJlzG9NM0LK7ms6u5kVQ3vsaQ+ZdOScgGHt0vhkb064SRbJOo4+XgyDcEjDSrlZUhxTrpe2k2jkoeFR0h4Qh0dBc9ekK2vERax5L/H2+1iz88uCXTZgmekM6qBgSYUzE5NTXW748HodFbADgiv4090noiIQgNGQomp30GiarcqOQt4eIfk7lsjYambNeCkQwijoRrkjN9Vfxr2REQUepCVhMnqIc+NAJavQSt3983Pz3dc35uWLwXpaRV8syXBKHMASgNSYf8FptzNC0ONK8wLCzc9R/jR22zBWy4g78jRbnV7pWjPCgmLjCkJRiU11pF6zez2YinOy3RkKullfrb5icUWnaA1LhE4Co9JKqnDhMEA8o7I4axULUmA5zGerzBjjz4mtnFXZqmRW361sNHoffLJJ3XEtT179ni8H3YcVrn++uvlueeek0mTJln2nEREVHPZIqIlum4bDS5hFBecCcw7sF7yD22WyFrNtGGGUV+CDYcTJiKiUApgrd+TK8//u0PsxUU6CS7tuCwUe3Gx2O2FiHKJvbhQxF5yqf+7mVdckO14jgpDhpA5a+podlVJQOpoIMpl3n+ZV+bAVYTzbRYEsJC9Hd6gk0TVaX10lLqd2s0NI8GFx9XWgJG9KP9oYClD14njbUXG6mAqCChhskUneswKi2veS3L3r5MjG3+X4pxDehsu0ZZKbDNQ4pr39Pu9UM3kV6Dp3nvvlccff1w6duyoI7cZtZMq07PPPqsFvDES3CWXXCK9e/eWpk2bVvrrEhFR9YYzfFG1W+rILQUZu6Ugbbvkp27RkV1wBhCBKNRDCAYcTpiIiEINglc48YNYjpVKAlf/Baf+C0iVBLRKgllFTvMctznmFYm9CLfnWRDAQvAKxc9M2VNOQSzXYJVLUOvoPEzILkJpgIikxlJwaKueSCvOO6IvgyASygVEJjeR8GgElZK1biVOwPm8yOgqdzSxGpe4TlRpgaZ3331XhgwZIj/++GOVpcy98847snjxYi0Afvfdd8vmzZt1ZLvu3btrUXIiIqKyoLEWhVFbkppoKnh+2taS9PP0nRKRiOKaLSU8OqFKV6Kmo6PRhkawvVgyt/wp2TsWSlhEjE663BxOmIiIyGeO7nAW0u7sRwNVpQJSuM1e6DTP8b/Ocw58IfPIXmDM81wiBu0De2GudntDxhYucd30RsUWFS+2mFpiL8qTorxsKT68S4py0jXYFJGQJ2E5adoOctS/0sBVSRfCUl0LbRGStW2+5O5ZKZE4GZe2Q4oz94gttrZez927SrK3L5CE1v0tXbdUM/gVaEJNJmQyVeXoAenp6U7d5jIyMjTwhALhREQU2krqGJUEbEqCNvj/6HXB2biS23Eb5qERFV37GCnMLkkDz937r+TuXa1p58hy0oCT3fQ4R1DI+XncPb+71zPuV3rZnN9Dxr/fSsHhndqQQwMUOJwwERFRcNDjXw3QWFvrUdsGRzOqivOypSjnkBRmH5biPEyZJQEqLQsQI7aoBM1mQk1KnIyyoQxAWEkGF54DgaiCzH1SmHlAC4cjIyoivo6Ex9cVm0sB7z0/3ud2WYox2hxGlQuLEHthjt5enH1Ajqz/VYNZWVv/kvDY2qXiAa2v+cXS9ULVj1/fjHbt2smBAwekKo0ZM0ZGjBjhuJ6UlCSnnnqqJCRU7dlnosqCnTqHE6Zg4AiMOAVRSoIjJQUhjfnmecVuAiruAy+uz1MyT3PcS66Ly/0c93V9vaOBGsfrVEyYhGk6ObKckOGUu3v5f8Uxo5O8eAIdA/xo4xP1F47WdnDUeMA83OdobQad53q/sJIGIoaBjqstEXEpOvKL4yU4nDAREVGN480ocOj+X5EucHjufNSoTNsmxflZIsV2CYtNkKjkJhqw0u53R5/Lru2skv/+a1Md7eoXHuU4SWe0bVA7i8jyQNPtt98u9913n9x4440a8KlMr7zyipxwwgke5w8aNEizm4iqq5zCYpm/P1tWHMyR9PwiSY4Kly51Y6VX/TiJjQiuUS+oYiO06Jmh4uJS/5uve7q9vHll3be859iRmieZmw+WmWVT5VyDNo6gjFHb4Gi9gqPBmTAx/i8J3JgfV/I8/83HvUvdLsZrlDx/cUGuBpsKs46eTEF3u5SWEpHUsKSxpa/h8vwWwWcQndJScnIOiy02RcJMZx05nDAREVH15hgFzggqlTkKXElgyRgFrqI1KqNrt9RalEVZB7Q2ZVHOYcnbv07C41J0UJTWE/4o9fxocxz880XJ2b1Moht2dpqPeXl7Vkpsk25St+8NHHmOrB91rnHjxloM/KqrrpJWrVpJeHjp/q+jRo0Sf33xxRdafDwrK0vat2+vNZmMCcsRERH8Q1QTlRVk+mhDmiw5mCPZBcUSGxEmWzLyZX16nmxOz5NL2qYw2GQ+0Ebg5ugJl+KjxQk11wWXCKToHXGb3XQ/58fq44zHHH0e3C6m/43n1ODM0f93LF0mETsP+hzwCRTNgEGD5egIMVpo0+V6VFS02CLjXII2piCOU9bNf7c7Z+SYs3WcM3Rc7+f6PObndzwuCETVaqoBJ3Sp09HqDm2WgiN7JCqlecnwwRbXezDg/cc27qIFPTF8cEl3wJLtkMMJExERVS9oSyCYpAElzVo64lRMvGQUuAYaUCpvFDh/aBf8hPo6IXsK7ZvCI/slJztNlwEBp8hktG8i3LZHIhIbSZi2rm1SeGSPBsNiG3cNmnYbBRe/ojNXXnml4/9HHnnE7X2w4VkRaPr111/1Mj4+Xp555hmtyzRnzhx57rnntPveXXfd5fdrEAUKMpkQZIoND5NjEqP1e4ODyj3ZhbL0YI60To6W/o2t7x7qHHgpCcyUBGjcB3DcBmxKPY/5fiUpuMb9MO+/53cO9hhBIyMwZAR3nK4b2bwBgp9Re9phiY5McArWGP9jmF93gRzjelkBn/KCQZ7uW95zePPjv3FfvsQt3FMl67C6wSh0MfXa6ZnAfBQMP7xDzwDmH9oikbWaaVFxnCm0GoYTxhDFObuWlqS547uQn6VFP3H2kMMJExERBWkXuLwj/wWVctOdusChAHd4bLLfo8D5CwGt2IadpbguMrh36gk1BJTyUjdp4XAEnVD7Ce2R3P3r5MjG3yV75yJHQzwisb4kthnI9ghVTqDpjz/+kKq2fft2qVOnjpx11llV/tpElQEBlBVHM5laJUTLkQIN9ygEnrZn5svvO49Io9gIsYe5yeQxX3dk6BwNyrjMcwR3jOBNAD9SzWHRhJYwx/8ll2FiM243/nfMN1//739c4r5i+t/x/HpbGY/TTJqS18b9/luOo9eP3s94bKOBAySqaZsArjkKBAy3HF2ntaadF6Tv1joH+Qc3Sf6hrSVnANEgs7ChiMZdcudhGlw6snFWyY32Yomu105vx3wiIiIKHD0JiqBSFXWBqwyo0RRdt41E1W6lBcM1izttu55Yi4ivK+Hx9fR+YeYamGgX+1ETk0KDX4Gm/v2tHcowMzNTxo0bJ/369ZOJEye6vQ+CTEQ1CQp/oyYTusvZw8LkYO5/qbRQZBfZnV0gm4/kSwQiHl4EbVwDL3icVqYxBV4cARQ3ARXn+aZAkOl2rUhzNGjjCNI47ne0sHKYS7DH9DxE1RHSybXrXK2mJQ2yQ1tLprTtEpnUSANRGAHGX8UFOZK+6ivNnkJNKDTncInruD2l2yUMNhEREQWgC5yRqVS6C1xMlXSBqwxYTmQyYSrMSi2pU5l5QI5s/EOyt8+X8IT6EtOsp7bj7RImRUf2Su7eVZK9fYEktLY2JkA1Q1AVNnr11Vfls88+k7FjxwZ6UYiqTKRNtPA3ajKFiV0axZWM5KDdtOx2Sc8vlPa1YqRfo3ixmQJGRkApmM6KEIUK1JVCnSbUK0BhzbxDWzXtvCBjt565RMAJjcyKQqMuZ+cSrZkQFhkvkpuul7iO7nTIrmLDjoiIqHLYiwtLRoEL8i5wlSEivo5ORXmZcmTzbM3SCo+rI4UZOyU8NkXbN2FJjbQYeM7u5RJ/TD8ej1DlBJpQL2n+/Ply6NChUkVvcRCMkem88dVXX0nfvn3ltNNOK/N+jz76qMydO1dHokMBcqLqDN8RjC6Hwt97swsdgaaSGk0YfS5CetSPk7jI6nFGhCiUmAtrFmanSX7aFik8sk+n8PjaEpXSSiLiUjw+ftNrQ0rdhu9+Uc4hPXMqtkix52fq7UVZ++XI+l/FXpQnWVv/kvDY2qUadq2v+aUS3iUREVEIdYHDZV5JfUSnLnDx9UqCS0HYBa4y2CKixBYepVlOGnjKzSipy2EMNhMVpwE4KS4QCY8K9OJSTQo05ebmygUXXCA//PCDfkGNg2Mw/vcl0LR69WqvinpPmDBBHnvsMR2J7vbbb/fnLRAFhV7143R0ORT+XnUoT7vRZRfaJSHSJt3qxkrP+v53xSGiyoWAEiYdySVtmxRm7pecrEPaKNUMp/h6bocO1mpp9mJtvGHIY3txkRQX5On/YfYitPT05xrd9kpG8rOJPYAjGRIREVVnNbkLnKVskboOMACKTddFsmOWDgSETCfcZrN+UBQK8UATRppDkGny5MkyePBgOfXUU+Xdd9+VunXryuOPPy75+fkyc+ZMr58vJydH6tevX+79ateuLUOHDpWffvqJgSaqEWIjbHJJ2xQdXW75wRyt2YTudF2PBpkwn4iqBx3JpdFxmmqOgFNBxh7J3rFYxGaTiIR6YouM19HjUOi7waDJJUEmE3uYTY6s+0EbdtH1OuoZxbCIaB3dDg07pKpj5Lm6fW+o8WdTiYiIKr0L3NFC3RpUQje4GtIFzl9oY8Q27qKj0RVm7JGIpEaOZBJcR5ZXbOOubIuQ9YEm1FM6//zz5eGHH5bU1FS9rUmTJjJw4EANPHXv3l3ee+89ne8NBKj27t3r1X179eol06dP92fxiYIKgkn9GydoLSYUCEftJh5EElWvxiyCR8X5OVJc8N8lbi/MOqiTIEMJaegJ9bWgeERcbbFFxUtYVKwGoGy4jIgRm80mh5d/rgGpsLgUNuyIiIi86QKXn1kSVGIXOEvENe8leambtT5k3t5VWisSmUwaZGrSTeKa9+R2SdYHmrZt2yY33nij/o9GMSCLCSIjI+XSSy+VN954w+tAU5cuXeTHH3+Uu+++u9z7YvQ5b4NSRNUJgktRIZidS1QdaNe2gpySgJLLpdMZ0qOQiYS6BlG1mklYRJQU5hyWouxD2lsOafooHhpVq6mEudQ2YMOOiIjIqi5wRwt2h2oXOD/YImN1pFsMQoLC31jPWJfIZEKQCfOJLA80xcfHOzIuEhMTNdi0f/9+p2DQ7t27vX6+4cOHy7XXXqvd8c4888wy77tnzx4NZhEREVlJ6w4U5h0NImX/F1DKz9YMI6MQpiEsPKIkK+lodpItMk5sUXF66dqgRTI+ajBhdLr8tO2Sn7pZu9eh0GZUSnPNZnJt2GXvXiZFOWk60ktc4+PZsCMiopDDLnCBgzYJRrrF6HJa+NsWyV4XVLmBppYtW8rGjRtLnigiQtq1ayfff/+9jBo1Sm/7+eefpVGjRl4/35gxY+Spp56Syy67TLvlDRo0yON9kfnUvn17fxafiIhCmL0o39TNLbtkQmApP7tU3SQU4Ea3NhT01iDS0UASLl2zkcqD4BMynCKTm+rodPlpW6UgbbsUHN4pkYkNJKp2Sw1YHV3KkuwnYyr5Q0REFBpd4Iz6SmWMAmeLTio54cO6hZVK1y9Hl6OqCDSh+Pf//d//yTPPPKPXR48erd3e0KUNO4g///xTJk2a5PXzIVj15ZdfSr9+/eSMM86QcePGade8jh07Ou5TVFQkDz30kPz111868hwREZEnJSO4ZZsCSlmOrm/2osJS90ftgfC4WkfrJRnBpPiSYtwWN2DxfJFJDXVC/ab8Q1u1cDgmdKnL3rFQ8vat0eXHchUc3i75BzdorQRkOzFdnYiIagIMCHX48GHZsGG/ZO/YyC5wRKEeaLrttttkyJAhkpeXJ9HR0XLHHXdokAkjzYWHh2s3uPvvv9+n5+zUqZMGqC655BJ57bXX5PXXX5fmzZtr9lJBQYGsXr1aDhw4oMEnoz4UERGFeFc3BI+OZiOVXJbUTrIX5Ja6P2ol2aISnLOSjMuwwIzwGBFfV6einMMacDqyaZZkbflLbDGJElW7tYRHxzlGeUFBTnSpQxo7ERFRdVJYWKhBpbS0NL3ElJtb8lu9+3CBBpk4ChxRiAea0C3O3DUONZqeffZZnfzRoUMHWbhwoQasXnnlFVmyZIkWHgcEsC644AJ56aWXJDaWxceIiEJFsdZNyhZ7qYBSbumubrZwDRyFx9QqGcnNGNENdZPCg7e+X3hsLYlp3FUy1v8iEmbX5S7K3Cv2wmQtKo6hhfP2rNSCnKiVwG4CREQUrHCC5MiRI46gEi5x3YDfMNT5bdCggaSkpEiz/DhJWHuEv21EoR5oQiAI3dxQq8mdrVu3ypw5cxw1m3xasIgIGTt2rE7YMW3fvl27zbVu3VqSkpL8WWwiIgriYp8lhbeNrm7/1VAyjyTjqNEQGSsRR4twh5kDSkeLaldLxQVadDwioYEWCNcRXqISHI3ysKg4vU0LcrJWAhERBVkXOHO2Eo7fDEgSQJICgkqYkpOTNYnAkLcvX8LCMgO09EQUNIEmFO9+7733PAaa5s+fr/epSKDJrFatWjoREVH1Z7cXO+okOUZ0M+omFeaXuj/qIyGN3qiXhOCSBpYiYwLW1a1S2SJ16OD8Q1s0MwuZTE7dBPOzdT7uR0REFMgucObAktEFzkgaMAJKxrFcTEw1PglERFUXaEKDtyyoqYTudN6YNm2a1lzydQeEyPkLL7zgU9FxIiKqXBoQ0a5uCCJl/xdI0lpKObiD0/3DwiNKgkdHs5OM2kkIKoXZ/PqpqnaQtRTbuIvkHVivNZnQXQ63GTWaMNJObOOu7FpARERB1wUOASUElxISEvg7RRTC/G69e6oPgZ3Qd99951TDqSxPPvmkPP/88zJx4kTNgGrWrFmZ99+8ebN23UPBcKRkMtBERFT17EX5Tt3bHLWTEEwq1dXNpt3aMByxBpHMxbjZBcxJXPNeOrocCn/n7V2lo84hk0mDTE26SVzznlX6ORMRUehAZhKCSRXtAkdE5HOgacqUKfLQQw85gkyXX365TmWNTOeNDRs2yAMPPKDPjctjjz1WevfuLW3atJE6depoJD01NVXvN2/ePFm7dq2mZE6YMEEefPBBfpJERJXEXlx0tPB2SUDJbirEbS8qLHV/BEXCY5OP1ksygknx2gWOxau9g0yulG6X6OhyKPytdZpikjWTCUEmzCciIqqqLnBGphK7wBFRpQSajj/+eM04QuAHGUWnnHKKHHPMMU73wYEE0iURKLrkkku8el7stJDRNHnyZHn99dfl008/lTfeeMPtfRGEQsBr/PjxmqJJREQWdHXTbm2uI7rliB2jurkIi4gSW1SCc1aScVkT6yYFAIJJCa376+hyWvjbFslAHRER+d0FzggqYcrMzHSUQ2EXOCIKWKDpvPPO0wlmz56tGUvnnnuuZQuEwNF9992n08GDB2X16tVy4MABnVevXj0NMtWtW9ey1yMiCiV5eXnaqMzKynJcrtueJpkbdyF1yfnOtnANHCGTpiSgdHREt0h0dWMh6qqiWWDsWkhERJXQBa5hw4ZOBbvZBY6IAl6jacuWLVKZEFDq379/pb4GEVFNTIM3AkmuQSXMM9Mi0xIpEUeLcIdpIOloQCmCo8MQERFVB+wCR0Q1JtC0b98+2b17t3Tr1s1x2/r16+WJJ57QekpXXnmlDB8+3IrlJCIik+LiYsnOzi4VSMIlspZcYURPnKmMj4/Xrs3GJc5mbj5QKLFL93D9EhERVQPo6pZx5Ihkb9/OLnBEVPMCTbfeeqts3LhR5s+fr9czMjK0ZpPR1e3bb7+VX375RQYOHOj3gqIbHYp+79+/Xy699FIZNmyYY96///4rn332mRYRJyKqSQ1JpL0bQSRzQAlBJqOmgiEyMlKDR+hmbA4mxcXFaTFPIiIiqn5yi4olI69I0vOLJaOgSDLyiyTpnwUSWbex42QSu8ARUTDx68gDAabLLrvMcf2jjz7SINOPP/6oWU4IMD399NOWBJquuuoqWbdunRx33HH6mggsbdq0SV577TUNNHXp0oWBJiKqlvLz80tlJRmBJXMtBbDZbBpAQoPSNTspKioqYO+BiIiI/FdYbJcjBSVBpfS8Ig0s5RX9d2IpPEwkKSpcWrdsIQ06Hs9R4IioZnada968ueP6b7/9JieccIKcdtppen306NHy7LPP+r+UIjJ37lwNNOFM/VdffaUj36Fw3Q033KDZTeblICIKNggYuWYlGZcINLlCFlLt2rWdAkm4RFc3LQ5NRERE1RoykzMLkKVULOn5JZlKWQXFYoSV8GsfH2mTOjERkhwVLslRNomPsGk7oFHbNhLVsGGA3wERUSUEmjAqgfkACcEgdGsz4CAJtZqsKnCHIBOcffbZOmrC8uXLpUmTJpY8PxGRFQ1GdGlzzUrC/zk5OaXuHx0drQEk12ASJmQuERERUc3rAmcOLJmSlSQ6PEzqxZYElZKibJIYGS4RNp5cIqIQCzQdc8wx8sMPP8iECRNkzpw5Wj/p1FNPdczfuXOnZh1ZVfh227Zt0qJFC601kpS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+ "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Saved: riemannian_drift_offline_to_online.png\n" + ] + } + ], + "source": [ + "drift_results = []\n", + "\n", + "for subj in subjects:\n", + " subj_ses = sessions[subj]\n", + " \n", + " # We want to measure the drift from offline to the corresponding online session:\n", + " # 1. FES Drift: OFFLINE_FES -> ONLINE_FES\n", + " # 2. NOFES Drift: OFFLINE_NOFES -> ONLINE_NOFES\n", + " drift_pairs = [\n", + " ('FES', PAIRS[0]['train'], PAIRS[0]['online_fes']), \n", + " ('NOFES', PAIRS[1]['train'], PAIRS[1]['online_nofes']) \n", + " ]\n", + " \n", + " for cond_label, train_key, test_key in drift_pairs:\n", + " if train_key not in subj_ses or test_key not in subj_ses:\n", + " continue\n", + " \n", + " train = subj_ses[train_key]\n", + " test = subj_ses[test_key]\n", + " \n", + " # Internal helper to calculate regularized trace-normalized covariances\n", + " def get_covs(X):\n", + " c = np.einsum('ijk,ilk->ijl', X, X)\n", + " c /= np.trace(c, axis1=1, axis2=2)[:, None, None]\n", + " # Add small regularization to ensure they are SPD for the Riemannian distance\n", + " for i in range(len(c)):\n", + " c[i] = c[i] + 1e-5 * np.trace(c[i]) / c[i].shape[0] * np.eye(c[i].shape[0])\n", + " return c\n", + "\n", + " train_covs = get_covs(train['X'])\n", + " test_covs = get_covs(test['X'])\n", + " \n", + " # Pull out the MI and REST manifolds\n", + " train_mi, train_rest = train_covs[train['y'] == 1], train_covs[train['y'] == 0]\n", + " test_mi, test_rest = test_covs[test['y'] == 1], test_covs[test['y'] == 0]\n", + " \n", + " if len(train_mi) == 0 or len(train_rest) == 0 or len(test_mi) == 0 or len(test_rest) == 0:\n", + " continue\n", + " \n", + " # Riemannian mean for each phase/class\n", + " C_train_mi = riemannian_mean_cov(train_mi)\n", + " C_train_rest = riemannian_mean_cov(train_rest)\n", + " \n", + " C_test_mi = riemannian_mean_cov(test_mi)\n", + " C_test_rest = riemannian_mean_cov(test_rest)\n", + " \n", + " # Calculate Riemannian Drift (distance) between offline and online centers\n", + " mi_drift = riemannian_dist(C_train_mi, C_test_mi)\n", + " rest_drift = riemannian_dist(C_train_rest, C_test_rest)\n", + " \n", + " drift_results.append({\n", + " 'subject': subj,\n", + " 'condition': cond_label,\n", + " 'mi_drift': mi_drift,\n", + " 'rest_drift': rest_drift\n", + " })\n", + "\n", + "print(\"=== Offline to Online Nonstationarity (Riemannian Drift) ===\\n\")\n", + "hdr = f'{\"Metric\":<28} {\"FES\":>18} {\"NOFES\":>18} {\"paired Δ\":>9} {\"95% CI (boot)\":>24}'\n", + "print(hdr); print('-'*len(hdr))\n", + "\n", + "drift_metrics = [\n", + " ('mi_drift', 'MI Drift (Offline->Online)'),\n", + " ('rest_drift', 'REST Drift (Offline->Online)')\n", + "]\n", + "\n", + "for m_key, m_label in drift_metrics:\n", + " fes_vals, nof_vals, deltas = [], [], []\n", + " for subj in subjects:\n", + " fes = next((r for r in drift_results if r['subject']==subj and r['condition']=='FES'), None)\n", + " nof = next((r for r in drift_results if r['subject']==subj and r['condition']=='NOFES'), None)\n", + " if fes and nof and not np.isnan(fes[m_key]) and not np.isnan(nof[m_key]):\n", + " fes_vals.append(fes[m_key])\n", + " nof_vals.append(nof[m_key])\n", + " deltas.append(fes[m_key] - nof[m_key])\n", + " \n", + " if len(deltas) > 0:\n", + " mean_d, lo, hi = boot_paired_ci(deltas)\n", + " marker = ' ' if lo < 0 < hi else ' *'\n", + " print(f'{m_label:<28} {fmt_ra(fes_vals):>18} {fmt_ra(nof_vals):>18} '\n", + " f'{mean_d:>+9.3f} [{lo:>+7.3f},{hi:>+7.3f}]{marker}')\n", + "\n", + "\n", + "# ── Figure ──\n", + "fig, axes = plt.subplots(1, 2, figsize=(10, 5), sharey=True)\n", + "fig.suptitle('Manifold Drift: Offline Calibration to Online Session\\nMeasured by Riemannian Distance', fontweight='bold')\n", + "\n", + "for ax, (m_key, m_label) in zip(axes, drift_metrics):\n", + " fes_dists = [r[m_key] for r in drift_results if r['condition'] == 'FES']\n", + " nof_dists = [r[m_key] for r in drift_results if r['condition'] == 'NOFES']\n", + "\n", + " if fes_dists and nof_dists:\n", + " means = [np.mean(fes_dists), np.mean(nof_dists)]\n", + " sems = [np.std(fes_dists, ddof=1)/np.sqrt(len(fes_dists)),\n", + " np.std(nof_dists, ddof=1)/np.sqrt(len(nof_dists))]\n", + " \n", + " ax.bar(['FES Path\\n(FES Calib -> Online)', 'NOFES Path\\n(NOFES Calib -> Online)'], means, yerr=sems, \n", + " color=[cond_color['FES'], cond_color['NOFES']], capsize=6, edgecolor='white')\n", + "\n", + " # Paired lines\n", + " for subj in subjects:\n", + " fes = next((r for r in drift_results if r['subject']==subj and r['condition']=='FES'), None)\n", + " nof = next((r for r in drift_results if r['subject']==subj and r['condition']=='NOFES'), None)\n", + " if fes and nof:\n", + " ax.plot([0, 1], [fes[m_key], nof[m_key]], color='k', alpha=0.3, lw=1)\n", + " ax.scatter([0, 1], [fes[m_key], nof[m_key]], color='k', alpha=0.5, s=20, zorder=3)\n", + "\n", + " ax.set_title(m_label, fontweight='bold', fontsize=11)\n", + " ax.spines[['top', 'right']].set_visible(False)\n", + " ax.grid(axis='y', alpha=0.3)\n", + "\n", + "axes[0].set_ylabel('Riemannian distance (Offline vs Online)\\n$\\delta_R(C_{train}, C_{test})$')\n", + "plt.tight_layout()\n", + "plt.savefig('riemannian_drift_offline_to_online.png', dpi=150, bbox_inches='tight')\n", + "plt.show()\n", + "print('\\nSaved: riemannian_drift_offline_to_online.png')" + ] } ], "metadata": { diff --git a/Final Project/riemannian_discriminability.png b/Final Project/riemannian_discriminability.png new file mode 100644 index 0000000000000000000000000000000000000000..2c52d3e8a6780555aec9e3ee20abdfcd5eccf90e GIT binary patch literal 59274 zcmc$`Wmr^S_%=#+30ot{y(F&i34X54^mcJ=`Tl#KlD9gt?u3 ze30JqqM~m9_Z1=@UXG&e7QWxWD&$DGxi=mj6BPFw-!Xp#-0Rn&uBO_pfamBJqyZKy z2R*6RzWkmuSVVKEo7tsSkwfl8s82zzG*X^FcuJ?ej(4Nb=*pAZ1%eMqC_bu&i)rML zr{PTnPZ~63XB~vi@!4o)Rl0u3dUtUC`;p=O!MAT4=P=LrUQ$&~Y+h0)(E$$JKdxTCe%<8G9sZ@>)a)o4d3fl_X#UsYROPF_zP@(N zM{C2yjZFgQ2A80|)9_!uoLj!Er`B=oUhulr`Ih-r;?AY(;!y-C5OwHrN7v@T4L!ZY zcNTR9bD>zb&kM0^_eV-}y^d!6Y5P{`p|pyesUPd=^xWLuzq9;oqI|le5qP@WyHb=W zl3~{w`z40S`iiu)^r{?rww&B3rYpNdasTxTzY(>JXCa4E zIyw#Fh=CmUX%&;JT!G7UpBEnsNfEf=RU;P@1isR$oN`Z1O<7rc1Ci;y$tauFzFN5l zC!dSOQlzeSQI#4&Gq__$%8rir@-Kw3TXp$Qo;+FW?u#a;-;aFt=FQc`A@dLS6UGzg z?a45=@7=qq!|oZ~v_GO}*Bp9&`sa5|{+a&hldt{#mxYA%sEH3}ybVA9%5!NLjE%Es 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