{
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"# Differential Expression Analysis of the ALL Chiaretti Microarray Dataset with pylimma\n",
"\n",
"This tutorial walks through a pre-normalised microarray workflow.\n",
"The expression matrix arrives RMA-normalised, so voom is skipped;\n",
"the analysis goes straight from the matrix to `lm_fit`.\n",
"\n",
"\n",
"**R-parity validation**: the sibling notebook [`all_R_vs_Python.ipynb`](all_R_vs_Python.ipynb) runs R limma 3.66.0 on the same input and compares the outputs numerically.\n",
"\n",
"## Dataset\n",
"\n",
"**Chiaretti et al. 2004, *Blood* 103:2771-2778**: Acute Lymphoblastic Leukemia gene-expression profiles from 128 patients on Affymetrix HG-U95Av2 arrays. The shipped matrix is the 12,625-probe RMA-normalised expression set from the `BioBase::ALL` Bioconductor package.\n",
"\n",
"Biological question: B-cell (`B`) vs T-cell (`T`) derived leukemia\n",
"cases.\n",
"\n",
"## Pipeline\n",
"\n",
"1. Load expression matrix + phenotype targets\n",
"2. Per-sample distribution QC (boxplot)\n",
"3. log-expression kernel density (sanity check)\n",
"4. MDS (coloured by BT)\n",
"5. Design matrix\n",
"6. `lm_fit` + `contrasts_fit`\n",
"7. Empirical Bayes moderation\n",
"8. Top table and DE calling\n",
"9. MD + volcano plots\n",
"10. Heatmap of top 50 DE probes (row-ordered by signed t)\n",
"11. Summary\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "608212fb",
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"execution": {
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"source": [
"import sys\n",
"from pathlib import Path\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"REPO = Path.cwd().resolve().parents[1]\n",
"sys.path.insert(0, str(REPO))\n",
"sys.path.insert(0, str(REPO / 'data'))\n",
"\n",
"import generate_data as gd\n",
"\n",
"import pylimma\n",
"\n",
"pd.set_option('display.width', 120)\n",
"pd.set_option('display.max_columns', 10)\n",
"\n",
"# Shared plotting helpers used by every tutorial.\n",
"\n",
"def _log_cpm(mat, lib_size):\n",
" cpm = mat.div(lib_size, axis=1) * 1e6 if hasattr(mat, 'div') \\\n",
" else (mat / lib_size) * 1e6\n",
" return np.log2(cpm + 1e-2)\n",
"\n",
"\n",
"def plot_log_cpm_density(mat, ax, title=\"\"):\n",
" '''Kernel-smoothed log-CPM density, one line per sample.\n",
"\n",
" Matches edgeR/limma's standard density plot (limma User's Guide\n",
" Figure 15.1): a Gaussian KDE per sample drawn on a shared grid.\n",
" '''\n",
" from scipy.stats import gaussian_kde\n",
" arr = mat.values if hasattr(mat, 'values') else np.asarray(mat)\n",
" # Shared evaluation grid spanning the combined range.\n",
" lo, hi = np.nanmin(arr), np.nanmax(arr)\n",
" grid = np.linspace(lo, hi, 200)\n",
" for j in range(arr.shape[1]):\n",
" col = arr[:, j]\n",
" col = col[np.isfinite(col)]\n",
" if col.size < 2:\n",
" continue\n",
" kde = gaussian_kde(col)\n",
" ax.plot(grid, kde(grid), linewidth=0.8, alpha=0.7)\n",
" ax.set_xlabel('log2 CPM')\n",
" ax.set_ylabel('Density')\n",
" ax.set_title(title)\n",
"\n",
"\n",
"def mds_coords(mat, top=500):\n",
" '''Pairwise leading-logFC MDS, matching R limma's plotMDS.default.\n",
"\n",
" Returns the (n_samples, ndim) coordinate matrix and the percent of\n",
" variance explained per dimension. We reuse pylimma's private\n",
" _mds_coordinates for consistency with plot_mds().\n",
" '''\n",
" from pylimma.plotting import _mds_coordinates\n",
" r = _mds_coordinates(np.asarray(mat, dtype=np.float64), top=top,\n",
" gene_selection='pairwise', ndim=2)\n",
" lam = np.maximum(r['eigen_values'], 0.0)\n",
" coords = r['eigen_vectors'] * np.sqrt(lam)\n",
" return coords, r['var_explained']\n",
"\n",
"\n",
"def plot_mds_coloured(mat, groups, ax, top=500, title='MDS'):\n",
" '''MDS scatter plot coloured by sample group.'''\n",
" coords, var_exp = mds_coords(mat, top=top)\n",
" pct = np.round(var_exp * 100).astype(int)\n",
" groups = np.asarray(groups)\n",
" levels = sorted(pd.unique(groups))\n",
" palette = plt.get_cmap('tab10').colors\n",
" for k, level in enumerate(levels):\n",
" m = groups == level\n",
" ax.scatter(coords[m, 0], coords[m, 1],\n",
" s=55, color=palette[k % len(palette)],\n",
" label=str(level), edgecolor='k', linewidth=0.3)\n",
" ax.axhline(0, color='grey', linewidth=0.4, linestyle=':')\n",
" ax.axvline(0, color='grey', linewidth=0.4, linestyle=':')\n",
" ax.set_xlabel(f'Leading logFC dim 1 ({pct[0]}%)')\n",
" ax.set_ylabel(f'Leading logFC dim 2 ({pct[1]}%)')\n",
" ax.set_title(title)\n",
" ax.legend(fontsize=8, frameon=False)\n",
"\n",
"\n",
"def plot_heatmap(E, groups, fit, n_top=50, ax=None):\n",
" '''Heatmap of top-n DE rows showing BOTH directions.\n",
"\n",
" Picks the top n/2 genes with the most positive t and the top n/2\n",
" with the most negative t (by smallest p within each side), then\n",
" stacks them - up-regulated in the contrast at top, down-regulated\n",
" at bottom. Row z-scored.'''\n",
" t = np.asarray(fit['t']).ravel()\n",
" p = np.asarray(fit['p_value']).ravel()\n",
" half = n_top // 2\n",
" up_pool = np.where(t > 0)[0]\n",
" down_pool = np.where(t < 0)[0]\n",
" top_up = up_pool[np.argsort(p[up_pool])[:half]]\n",
" top_down = down_pool[np.argsort(p[down_pool])[:n_top - half]]\n",
" # Sort each block by signed t descending so most-up is top and\n",
" # most-down is bottom.\n",
" top_up = top_up[np.argsort(-t[top_up])]\n",
" top_down = top_down[np.argsort(-t[top_down])]\n",
" ordered = np.concatenate([top_up, top_down])\n",
"\n",
" mat = E[ordered]\n",
" col_order = np.argsort(groups)\n",
" mat_sorted = mat[:, col_order]\n",
" z = (mat_sorted - mat_sorted.mean(axis=1, keepdims=True)) / \\\n",
" (mat_sorted.std(axis=1, keepdims=True) + 1e-8)\n",
"\n",
" if ax is None:\n",
" fig, ax = plt.subplots(figsize=(9, 8))\n",
" im = ax.imshow(z, aspect='auto', cmap='RdBu_r', vmin=-2, vmax=2)\n",
" ax.set_xticks(range(len(col_order)))\n",
" ax.set_xticklabels(np.asarray(groups)[col_order], rotation=90, fontsize=6)\n",
" ax.set_yticks([])\n",
" ax.set_title(f'Top {n_top} DE genes (top {half} up + top {n_top - half} down; row z-scored)')\n",
" return ax, im, ordered\n"
]
},
{
"cell_type": "markdown",
"id": "cea2cef3",
"metadata": {},
"source": [
"## 1. Load the expression matrix + phenotype targets"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8b887c9f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:01.927072Z",
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"shell.execute_reply": "2026-04-20T19:13:02.228021Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"expression matrix: (12625, 128) (probes x samples)\n",
"\n",
"BT breakdown:\n",
"BT\n",
"B 95\n",
"T 33\n",
"Name: count, dtype: int64\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" BT | \n",
" mol.biol | \n",
" sex | \n",
" age | \n",
"
\n",
" \n",
" \n",
" \n",
" | 01005 | \n",
" B2 | \n",
" BCR/ABL | \n",
" M | \n",
" 53.0 | \n",
"
\n",
" \n",
" | 01010 | \n",
" B2 | \n",
" NEG | \n",
" M | \n",
" 19.0 | \n",
"
\n",
" \n",
" | 03002 | \n",
" B4 | \n",
" BCR/ABL | \n",
" F | \n",
" 52.0 | \n",
"
\n",
" \n",
" | 04006 | \n",
" B1 | \n",
" ALL1/AF4 | \n",
" M | \n",
" 38.0 | \n",
"
\n",
" \n",
" | 04007 | \n",
" B2 | \n",
" NEG | \n",
" M | \n",
" 57.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" BT mol.biol sex age\n",
"01005 B2 BCR/ABL M 53.0\n",
"01010 B2 NEG M 19.0\n",
"03002 B4 BCR/ABL F 52.0\n",
"04006 B1 ALL1/AF4 M 38.0\n",
"04007 B2 NEG M 57.0"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = gd.load_all()\n",
"expr = data['expr']\n",
"targets = data['targets']\n",
"print(f\"expression matrix: {expr.shape} (probes x samples)\")\n",
"group = targets[\"BT\"].astype(str).str[0]\n",
"print(\"\\nBT breakdown:\")\n",
"print(group.value_counts())\n",
"targets[['BT', 'mol.biol', 'sex', 'age']].head()"
]
},
{
"cell_type": "markdown",
"id": "b8f45ed0",
"metadata": {},
"source": [
"## 2. Per-sample distribution QC"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "17a11766",
"metadata": {
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"shell.execute_reply": "2026-04-20T19:13:02.424868Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/0x/4309q_jn5xbf3zzq_4hcp2100000gn/T/ipykernel_99358/2015273228.py:2: MatplotlibDeprecationWarning: The 'labels' parameter of boxplot() has been renamed 'tick_labels' since Matplotlib 3.9; support for the old name will be dropped in 3.11.\n",
" ax.boxplot(expr.iloc[:, :40].values, labels=expr.columns[:40],\n"
]
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12, 3.5))\n",
"ax.boxplot(expr.iloc[:, :40].values, labels=expr.columns[:40],\n",
" showfliers=False)\n",
"ax.set_xticklabels(expr.columns[:40], rotation=90, fontsize=6)\n",
"ax.set_ylabel('log2 expression')\n",
"ax.set_title('Per-sample log-expression boxplots (first 40 samples)')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e5a4b147",
"metadata": {},
"source": [
"## 3. log-expression density (KDE)\n",
"\n",
"Kernel density per sample. After RMA all samples should be nearly\n",
"super-imposed - a visible outlier would warrant follow-up before\n",
"differential analysis."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "948198f6",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:02.426889Z",
"iopub.status.busy": "2026-04-20T19:13:02.426788Z",
"iopub.status.idle": "2026-04-20T19:13:04.611911Z",
"shell.execute_reply": "2026-04-20T19:13:04.610907Z"
}
},
"outputs": [
{
"data": {
"image/png": 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RKy2CSxHYi7QC0eMqUlNEL74IagURSJ2okyx6t0UwLY5X9EYuXLjwCV9fBLwf+tCHaj23ImVBtLG49kTJKXFnQJyH39WdEJF7Lo5HHLO47g8cOFC7xkWpuZP94z/+Y62kmcg1FudBlBMTnxkRjIsAV3yeRBs8XeJ6EndKxPkR7SCuffF5FOv/9m//9kmfJ+6oiLb76U9/Wmt3kbYjeotP/rL6F3/xF49f72KyFUk6az3fo80kSfrtym89kf/+7/+ulbMSJaDEiO6+vj7njW98o/Poo48+vo0Y3bx8+fKn1eyiGoIY2S5G64uR4KIKgXj+yZUETryuGP0tthHlj8SIdlGO6/RySWI/L3rRi37tdcR273rXu05Zd2Jk96c+9anH14kR4uK97du3z7noootq71GUhnrnO9/p5PP5U55/etUCQWwjRvCLYxXlmESZJjFyXIxIP7lE2dOpWnCi3JWoRiDWixJiovKCOJaTy1edKIn0vve9r1beSpQz27JlS61txeufPhr+yTzVsYt/F+XWli1bdkr1B0G0rTi+hx9++JRrSpSSEmWwotHo4xUARNWDk/2m6+XptKeosHH11VfXylWJbUQbiNe5//77H9+PqLaxdevWWimvE+XVROmo4eHh31h+S/ja177mrFq16vHXv+666x6vDnD6dXM6Mar/6fwZrFQqtZJXp5+/J7rGRMWAP//zP3d6enpqbS6uz/Xr1zsf+MAHHr9Gn+jaPuHkagMzMzO1sl3ivIrjFxURxHv913/911OqHZxetUAQFStEqS3xmXyy6hii/JcoSSZJZzNF/Of5DqYlSZKeDjFCXdySF72xZzvRkyx6ccUt6xNVF54rYnIB0WMrcnKfLJ1B+sMmenVFRRNRveDp9MBL0plKphZIkiT9nonbzaJclMixFHmdotSUyGkWt4tf9rKXyfaXnjPHjx+vpW6IlAyRK/t0Z5aTpDOVDGQlSZJ+z0QupcgbFXmWopqAyFcUOb1i9P7pJaEk6ffpYx/7WG0gpsj9FVMHP1FFCEk6m8jUAkmSJEmSJOmsJCdEkCRJkiRJks5KMpCVJEmSJEmSzkoykJUkSZIkSZLOSnKw1xMQRb3FFIeiqPQTTc0oSZIkSZIk/X6IyrBiYKyY1vmpJo2RgewTEEFsR0fH7+n0SJIkSZIkSU9FzDj4VLPhyUD2CYie2BMNePoUhJIkSZIkSdLvj5j2W3QonojHfhMZyD6BE+kEIoiVgawkSZIkSdJz7+mkd8rBXpIkSZIkSdJZSQaykiRJkiRJ0llJBrKSJEmSJEnSWUkGspIkSZIkSdJZSQaykiRJkiRJ0llJBrKSJEmSJEnSWUkGspIkSZIkSdJZSQaykiRJkiRJ0llJToggSb9HlmVRKBQolUqPL6Zp1hbbttE0DV3X8Xq9tRlMxOLz+Z5WEWhJkiRJeqGTgawkPctAtVgsks/nawGrWE7+XQSuqqrWgtMTiwhcxSLWG4ZRe/7s7Cy5XK72HLFNU1MTzc3NtLW14fF45DmSJEmSpCcgA1lJegqi91TM+5xOpx8PNk8EqycC1UAg8PgSiURqAeiJx6f3sDqOQ8GwKBkWDk5tnVtTCXldOLZFIpFgZmaG/v5+HnnkEdrb2+nt7aWlpUX21EqSJEnSSWQgK0mnsSybwYlpRiemGZucIZnJ1lIAgqEQgUCwlgbgjUaJt/jwen24f9VjKkJS03KYq5gMZUwKsyXylRyFikW+UiVfsShUTIqGieM8Noe0+qv41rIdRKwb9Oi0Rn0saKxjwYouNvgdxkdH2L59e61ndvny5XR2dtaCZ0mSJEl6oVMc0T0knUL0voletUwmQzgclq3zB04ElnvG0uwdSXJ4dIaR2QyGZRPye4mF/IQCflwuvRZ4irhTBJzit8d+PhaQCuKHrioEPS4CHq0WlPo9OkGPRsCtE/TqhH71bwGPjkdXH3+uadlkyybposFYqsSx2TxHp7OUqjbn9NZxbm8MIz3NoUOHakHsmjVraj21MpdWkiRJeiHHYTKQfZYNKJ29hhMFfrZ3kgMTGXxOGV9phu66AOuX9rFqUTcet+t5PT7xHXNgNs99/XM8OpxibWeUl61tJT0zzr59+2rX6Pr164nFYs/rcUqSJEnS75IMZJ/DBpTOPrO5Mj/aOcHesTSbO/z4MkMEVIuNGzfWBlidiZIFgx/vGmfnSIqrVjRzxZJ6jh45zNGjR1m0aBErV66sDSCTJEmSpLOdDGSfwwaUzi67R1N87YEhNnTFWBOr0r9/N8uWLastIg/2TDeUKPD1B4fwuTT+5IJe1GqxNiCsUqmwefPmWrUDSZIkSTqbyUD2OWxA6ewgbtOLNIJbD07z5q3deLLjtaoA559//hnbC/tkKqbFdx8Z49GRFG8/r4eVbeHae9m7dy9Lly5lxYoVcjCYJEmS9IKIw+S9SOkFEcR+46Fhjk7n+LurlzDRv5/hmRmuuOKK2gflbOPRNd60tZvFzSH+877jvGZjJxcsWVLrjX3wwQeZnp5m69atBIPB5/tQJUmSJOn3Sgay0h+8G3dPcGgyy99fs5TRY4drNVovv/xy/H7/49uIWbZSqdTj9WHL5XKtV1NUBXC73bVtRU1Y8c1QPP5dB9qVgklmrkQmUaSUrVIuVjGKZq0sgqapaC6VUNxLuN5LtClAMOZhS28d8YCbf7tzgFTR4CWrW7nqqqvYvXs3t9xySy3nt7u7+3d6rJIkSZJ0JpFVC56ATC34w3HHoZlaSsHfXbOE3MxYbbS/CGJFT6wIXicmJhgbG2NycrIWUIpAVQSsolaseFwLMiuVx2fqEr+LCQ7E809fnk6AK/aXTRaZGZtnbjrJ/GyadCpD2SijuW1Ut4PmUtBdOrpLw+fzE/AG8XkCeJww5YxTC3iDUQ9ti2O1JVGp8q+397O+K8ZrNnbUgu/x8fFa7VkxMYMIaOVAMEmSJOlsIXNkn8MGlM5coqzWF+85xl9esRhfNcsDDzzAxRdfTF1dHSMjIxw4cKA2xazotRQBn1h/8kQDlmljGhZ2bbICBUVVMIwKuXyOXC5Tu04y2cd+ih5cEeCK2/kulxtdc2GbDka5ilE2yWdL5HMFioUipmXg9rhqEyxEY2HqGmLEGyP4A77apAdi0Jk4LrGI4Flch6K3eH5+vlZqq7WljQANzA4WyMwV6V3TQKgvzGfuGmBTd5xXbnisvqyY+lakGlSrVc477zx5LUuSJElnBRnIPocNKJ2Z8hWTD//0AC9d08bGjiA333wz69atIxqNsm3bttq0s2KWLBHEVgoWyakC6ZkihXSFYtagnK9iW/bTfj3LMak6JQyrgm1Xa48VDdxeFx6vTjDiJ9oQpr4pQmNrHJ//1Glrnw4RLIue46Ghodo0tj09PTTHuxjfm6OQqdCwtp4b+qfYuqCel69rq+1fBMNiENjx48c555xzapMoSJIkSdKZTAayz2EDSmcecfv+y/cOUrVs3n1xH/fdd1+tl1P0uO7fv58lS5bQ1bKA6eNZJgfSlAtVIg0+Ys0BAjEP/rAbX9CNy6uhu1VUMY+s89h+Hfuxn6KX9uR14rH4XQSPuuuxnFZVU55xsPp0JZPJWg3Z0dHRWkDbEOzi2PYETp2bmwo5rlrZwjUrWx7fXmwnUg1EzdlVq1bJqgaSJEnSGUsGss9hA0pnnm3H5/nejlE+et0KZseHa8Gr6InN5XIs6lrF/IBJPlmmqSdC66IodW2BWj7q741ZgXIWKmLJgW2CbT320/nVT1v0/orI2D51saq/WoxfLeL3yq9+N8kUK+ydtpjOOywMVTHm2xjMh7nL4/CWznG21pfA5QXdR9lW6B+eRPVGWLhyHZ5QPXiC4AmBO/TYT/13O5BNkiRJkp4pWX5LesHKlqt86+ER3nZeD6pZZufOnbXc1VyyQKzcyvTOOXpWRGh/UTe6P/S7eVERnOamIT9z6s9S8rEAVgSdovzAiaBRc1PLO1BPLPpjjxUVRA9ubRG/q6C6Httec4HuBU/4sd9r69xEdDcXrHAxl6vw6NFxjIBNX7CL3GH4ynwH4aU+VsSqUC3jrRZZFogzduwQg/f/kK6WOvyq+djxV4uPvRexX3GM3ggEGyHYBOE2aFj82O+/px5mSZIkSfptyKoFT0D2yJ69/mf7COmCwf936ULu/+kNZPfehV4q4hRKoIHHq6GpCn6PQizsIdZQR7S9B7WuB+I9UL8Y3P9XluvXelbTY5AZfexnehQyY1DOPBZghpofC/ZO/PTXgTf82L+5g3DSQLLfB1GFQeTCipxYnyvEkaEge1T4x9eupqfh/2rKihQIMYHCnj17WLNmTS3dQBG9v0b+saC2kodyGvKzjwXlqeHHFpcfWtdCz/nQuPz3/n4kSZKkF6bsM7gzLgPZZ9mA0pljMl3iH39+iA+tzDJ997cZODyM7YoTa1pM75b1RDp7sRywLJvC3BSpsUFSk2O13siWuEYkUMH2OaSifZRivYRiHQQVk6b0AJHEYUgNgTsA0U6IdEC0AyLi9/YnD36fB6JEmCgz1n/kGIenw4y6InzyzetpjvpO2W5ubq5WyaGxsZFNmzbhcrmefKemAclBGHsYRh58rAd5yTWw8ArQPb//NyVJkiS9YGRlIPvcNaB05vjCbftZevQGikODZBwvucAaLnvpH7FwfcuTDrrKGVXuPTrA3gP7KB7vx6U46M1xtJBFXjHIKl4yvkbiPj998WaWtS1kbTRE3HXmzyUiBoRt3/YIP9+TJueu5wt/eh6xkPeUbUqlUq1Elwh+xXS9T+t6F/m9k7th/w+hlIIVL4MFlz2WJiFJkiRJz5IMZJ/DBpTODEcO7ubgDf+MW/VRaFzPeMbNy195PT3Lm59we3F7/e5kju9MJWn3ujgvGmRj8TjFB7/DyMAw00aMut5ldK3ZQNRvMJYYZiA1x341xoC/i+5AgLUNzaxr6qDD5/6tqhM4to1RLlEpFrBNC83tQne58QQCqL+joFC8z4H+43ziB7soK24++Jrl5PzzjGZHmS3OkiglsB2bbCpLIVNgTc8aVnetpjfSS0vgyb8A/GrnML4D9nz7sbSDLX/6WG+1JEmSJD0LMpB9lmQge3YxZ/r52b/8FWakh8Z1L+Phnfu44pqLWbt5xRNuP2+YfG18jslKlbe117NKr8Cj/w0zh2DJi2q3y8smjB3Yx/C+XZTzeVoWLKJtyXIaozqF2SPsnZ1gV77CPncrUV+ALbEIWzsW0BZteMJgspzPkZmd+dUyXVvyqWQtGBTBq6rrWNUqlllF012EGxqJNrXQ3LeQxp4+VO23D2zF6z84sp2P/eJ75NUx1jS0sLlvE72NvdT76tEUDcM2GBweZPu+7eAC0zEJqAFafC20Blupj9TXZjwTJcxEKoIoZ/Z/J8CAAz+EozfD8uth2fUyf1aSJEn6rclA9lmSgezZw8lMcN9n38v+UgOXvu6vuOXnv6Slq5HXvOFlT9ibOF2p8vHBSVYGffxRax2Bse2PBbEtq2D9mx8brX/y/h2H9MwUE0cOMXHkYC0gjbW0UdfeSSgWxWUmGcrO8mimwH7LTQsma3RY6Bc9+UEyifla0Cp6XoOxOJHG5l8tTYTrG2q9ryJwPcG2LQrpFJnpaZJT40z2H8E0DNoWL6Vvw5bac5522zgOO2d28svhX1I2y2xpPI8f/MIhblbZXDdJ3GPS6i1hlvJMZSqkijY+KrirGbyqQS7oY1A3GFeqdClt9KgLqJhBTByaog0sbO+loaEBxaejhT1o1TGU7V+AYDNsffdj1Q8kSZIk6RmSgeyzJAPZs0QxyYEvv5eHJ934r3wvmT27cNwVXvKKq2pTzp5u5ldB7DnRIK9piqHs/z4M3Aab3wkdG59WYCiCzMTYCMmJMQqpJMVshlIuV6sBa4m6rpUiCVVlXndR766ytiHI2kXLiCy/EF3UbX2GxGsmJ8YZ2b+H8UP7aepdwOJzzifa3PKk2zsVi9n5aW4+chOFQp4tTZtZ5gqhp46TnjzMZ/uDdGhJAh6VlKniV130eSIs80QJuB0cchwpTJOr5lgVcmO6C9yrjfEIsyy1PFygrSOnLOR4Xifmq2NxsIOI4cOxHbSAhb/4AzSmUS76S7TOJc/4PUuSJEkvbFk52Ou5a0DpeWLbDH/jvew8lufurj9ifbmE5ZqnuT3GpcvOwylUsYsmdsVC0UVg6fApu8iWSIDXtkXQDv43SuIoXPT3EPn1oPfZmq9UuW9ylLumJ3EV5rg0u5cLgyrBttXQsQnCrc94n6VcloFHtjG8dydti5ez7IJLcDtuqrNFzNkSZrqMla4wk5lmqjxJzOumEwctN4dRtRizvYzZDknRp2oGadLq6K4vMVkZYLCSIIWJK1zBHXNwh4J4qiFKMxpLmlTO8+Uop4e4mQKPKBW26lEurbgZ9ayhvxyna9FKVi9eiZqzqM4W4MjP0Sd/gdH0ctTlV+DpiaDHTx1oJkmSJElPRAayz5IMZM98xR3f587v/4ihdW8jlw8RSx0g7NFZ7e2lo60DLeJBDeiobq0WxH0in6bbqPLqZBHP2NdRtSrVle/D1dmCqyWIFvgNpaeeBdN22JktcMfMLIOpOTaXhrhm7h7aAwFo3/RYUBvrftoTDTiWQ2ZgkgO338rM0DG6GpfRvqgPokXKyji/mLuHhDHGa4sm7XSRKi9jQG9hxDbwRYLEm2NMJo5w/NgE49n1nGMadHvSRF0NmC6FaVKMMY/lZNApUvUq5CsOxQY38ZWNLPUGaMtM8+DUw4xpDtcFF7Aya/BIqYtcsIctF11Jc/NjA+yc8b3Yd32Wqr6MgnkVWjyEd1EMT2+k9uVCkiRJks76QPaLX/win/rUp5iammL58uV87nOfq5UBeiI//vGP+dKXvlQr5C7KBYntP/KRj3DllVeest2PfvQjPvShD9WKw/f19fHxj3+c66+//mkfkwxkz2xOepxt//oejAWX8l/zK1mfHGRFOITH42bVshWIYrGKS8Eq9mNndvJjr8pxReFvZv8HXz6NYplUAlEc1Y9NENtuQfMvx9WyHn3halwdTbUA+HdtrGxweyLDg8kMK+wU1+Z2s3DqgcdySU8EtWJChieYaMBMVygPzFM4Ok7VTGHEJ5kt7Wb80Bg+xyDYOMdPPBU6nACbjR7GiDNV8VKuiEoIKi5dwyiVKOcLaKpJJBhgxrOIR9L1XBgosnl1O4o7TqHsYjJbZVSpMKPksIIaLqtKaWIU3awQadYoxcdo0hTqjTyDs/toR+NVkZVUpgvsLrezdPOlrFh/zmM5yoV5eOCzOGaVctvbKI9otdQH3/J6vItjMqCVJEmSzt5A9nvf+x5veMMbasHsueeey3/+53/yta99jUOHDtHZ+etlfN7znvfQ2trKxRdfTDQa5etf/zqf/vSnefjhh1m7dm1tm23bttUC4Y997GO14PXGG2/kwx/+cK3w++bNm5/WcclA9vlXy0ct9FMqjVCuTGNWs3i8zfjcbWR+8k0OTWiM170O13ieNT5wQiqxviYiDTbVqVtQJgZQTC974hu4IbKY96cNOtRRvNoenKvejq2amNmR2lKd3Yc1148nm8db1MDpQYltQOtYibZwNXpbM4r2u5uaNVU1+WUiw13zObo9Gteqs6ya3YEy+ehjU9mK2bNaVuE0rcBIamR391OenKUcGYTYKBFPBX0mgT07ScIIcn/Kz1i6QDy+mECwl6xZwKXqNHvq8JfyzM/txbRTxNtK1NVpxJS1RDznosZ6+GIpx+3ZAr6YjjukEqwUqTMtlioBWrMaTqnEhJ4i164zk0kwli2RDTXg8bmIO3N4C4cplw+RdRIsVNy82G4gOVePVd9MfOtGYsE6wrqfhuP30DCxF2Xrn2NYfZT2ztVSP/zrm/D0RX6r8mWSJEnSH6azJpAVgeW6detqvawnLF26lJe+9KV84hOfeFr7EL2yr371q2vBqiB+Fw1wyy23PL7NVVddRSwW4zvf+c7T2qcMZJ9fhcIgU1M/oFKZIRBYgMfThK6HawGtdeBOdv5yjOauK0jPbaQayNJ7QTtD87ezvH2G6OFteL2tqKteR7nrRXzg+Cyvb65jU/99VPYdpuK7DDUcxLc0jmdBFEV7rPfTtk0KxWNkZu6mPHwX/mSJUErDnTWw1Rac+DJoXY3atQK9KVYbpa+ozy74KpgWdySz3JbIEnNpXFsXZpMxhjK1l/LRAYrDPqq2GyV8mEB0FrdlUK4oTNgNpDxdRKNbuH1+N4+Ye1g1uwi1aOHVdc7p7KI1kGHo+N1YxizRmJtuUuRDdQy56hgkyJC7iSF3J1lXnESxidycxqKIH1+DRt7K45scoX5yitXJKkvsBjymTWH+AO78JI7pMBqPcaBvEQd6F+KzHFbMzTKv7WI0kmV1OUZvpUpGCzC+pJ5CyKFCBlc5SWt6giVtW1m++i20pusoPjqLGnAR3NIic2glSZKksyeQNQwDv9/PD37wg1Nu+//FX/xFLXXg3nvvfVpzy3d3d/P+97+fd7/73bV1oif3ve99b2054V//9V9rKQsjIyNPuB+RpiCWkxuwo6NDDvZ6jjmOzfjEt0ilttPYcAUNDVeiaScNEKqW2f2pPyGR6MPfuJafuo5x6Yp+dFeJ1kyS3ryJuvx15DquxHTgm4kcFgrvDWXxPPQZuOwjOJEeKsMZSgfmcao2vpX1eBf+X0Ar2LZBJrOLxPzdVLLHaSi1EErquGZGcApiqFQHlnshTnwpNPShRQJoYfdjS8iN4tWfUZBbsW3uTeb4xWwSOz3F+UNjbJpKEAocIKweQvXFyJdMCrkcHkfFrcSYLyncEEqRxM+G8mL8msJK3yR1uUPMpSuYqLgjQVwuLynNx3F/K1OeOrKaj7BZYmVujEW5MWLVeRyqzDgBUoUgvoSb4pxFkRjT9b2MNNUxFFGJeBpYZrWRdWs8FE0yzwhNk4dpSCewmlczXrccvWyx+tgeTGMf8w0RNjqiGJmKElvHg8GlROsM2nxDuOd/zIBm4m5azsUdl7M2sRiO5vGvbcS7vE72zkqSJL3AZZ9BIPu8zbOZSCSwLIumpqZT1ovH09PTT2sfn/nMZygUCrzqVa96fJ147jPdp+j9/ehHP/qM34P0uyO+T42Nf5N8doAFvR/CH/j1GbnyD/+EY0NeNqy5mH/MVml2wOcfx0rMYk9HGdD7UB64iYD9HSqqyirdR3fV4EihSDXciXb/rYQXnkNr7xKifX0YI1mKe+coHUjUgigxsl4EoKrqJhbbUltKpVESibs5Fn4Y35KFNPjWEMoDo/th5ltwvIjl6sBUWzGsJkyzHkePowQitZ5G1e+qDTrTxM/aoqN4NVTFQKkmcfITOHOPsnHoEMuH69nlXcSdHUHuWbuAK7yr6Mno5IdShCwfuuMwVRljWjvOgYbDdBW7WGwGWOkbYUFQJ1vUSBQXk3W8HC6UyFU95ONNtdqvvvE8CyZHaJ6fJZTLUlFtBtw2hq4RqkJMLRIP5vHELFp7K9i2Qm9lL4tnAkxOxZjwNZEKhAn4FvC67DIm/Mv4ec8KBpUyTckJInM7mI36+fn6VdTnFnLFw7eRLz5AtquDiFPh1bn9jGvnMaEs5Ejlr7ne/Bl6eZhHnDu4TbmdC1edx8bDCsZEntD5bbW2kiRJkqSn8rxPGH96bpwIaJ5OvpxIExADvX7605/WZhp6Nvv8u7/7O973vvf9Wo+s9NxIjI3Sf/jfKBaPkzu2lKPWf+INhgjG62hbsoyOZStRjQr7frSbulg3BxfYzDw4y/VdeUKPeomXcmh1RWhsId77eryNfXxhPMkKr8bio1+nik450kd1aifmHT9kzAlhNq4ktuYaGq/ZRHU0T3H3bC2gDaxvwtUWfPx68fk66eh4Ey0tryCVeoip+buZsMrEV55P9LzX4q2qaIl+3KlhSA3gpO+GUhan4sapBnFSbmzbhWOYUDWwjDJKNUPVTmPqFQq6j2plC0rlfNSAl82BPrZkXewoVLjZVWHMq9LZFKExOUfEVWDxwjLm5DEWpRtYFK1jUXQtqWwLt80c5Vj2MEcjNjpp4vkUViGNWZwmUlCwK14OBOrZvyKOHnTwKbBoLE/z6Cx2wMuhpkYmIy3M2E3UASv1Udr8I7So0/SQo1qZp5BVyY+MYBoTdPhCbPVEmauv55eLl7C7Yy3t2QLrJ9KM+t1868o/ZcHkIBc8ciMqQ+zv7GbBsZ/TqF+ErzHJtvbNNMx0cNXu20kuXMsDrj3sbz/Iy0pXYN1UIXxJJ3q9T34EJUmSpDMzkK2vr69Nc3l6T+ns7Oyv9ag+0SCxt73tbbW0hMsuu+yUfxOlf57pPj0eT22Rnlu2ZXHkwXsZOv6/RLssFi/9exqvWFb7t3wySWZumtH9ezh0150sLdQxkU+w9K0d/Pvtk1zrfpjVo49gWOC6+CPUrb+E4eH/oOIaYETdzEggyDsrD9cqAriu/Gdc+q/ObzlL6PijJHf/EuvnH2AEH2p4A6HohVjpBpLfPVrrNXV3hXF3hNBjXvQ6L7o/QEPD5dTXX0Y+f4j5+fsYOP4v6HqIcGgFvp4F+JZdVMvnVS0HtZDAqeSwq3mUSpJqNUnZTFIx5siZKpbdRWDuHNyzHYRXtOJf1oASdDE9N8P+Qwcw54pcX3EzOJlkoiFGuK1I48x2Ro5UyLq7KbZuZG8kz4x1B7iPYjalcZpMvHiIFduo+JtwV+oImjHMiA6OBxxXbZBbuWJScipsb7SgVUPTwaMoeFSVJmwcK8Axcx26cSE5W0cji997lKD/EM0tRzGtekqVEJVqE+1lF2/fdoSCXWJvzM0vl/cQDrbwyukce6J9/PDav2b5wAN0D22jP9xNvXI7KwpXwYiXg+4wt8VewrqD27nSX+Hohk18Ufkfrm27jLW32gTPa8PTJes4S5IkSWfwYK/169fXqhacsGzZMq677ronHewlemLf+ta31n6KQWGnE4O9crkcN9988+Prrr766lqVAznY68xRyud4+Mffw2KO2LJjLF3+UapKE8dn85SqFpqi4NJVWiJelDsPMnDXt5iKHEfvWk51/BjLAxmaQi4O1L+Yi175jloPqmWV6R/+Gh+f7eBdTW2cs+NzcPnHIN6DlTcwhrMY4zmqM8VaLqsaVcjmdpAfv5tgcQBfpBlfx0WYlVWUJ3yoPg014MYpm7X8V1ejH705gKvJjxYUPa0G+fxRcvlDlEtjlMrjWGah9v5U1SPm+sKxzVqNWI+7Ea+vA6/WgXu0A3tQw90eIrC2ETXsZmJign2P7CY/kcIxbCpOlfaWRlZ15IjNP8wDwxl2loI0BHTSjf0MKDMkKgY9aYf2JNSZC/EbnVSq7Xj0PF7vDKq7DF4by6Nhq6B5DRzdxLB08pUw+XKIYslDqeTBrgTRrDAOLky1RIo0OHNEKklCxhwNxgyRMrgrYaJmlTBlNM2iosWoqA0ElB40VwTcfmb1Kttag4wvaECPqBxwQqxLWISHfopaKBItFGmMNBL1X8iEkucQGVbbKZa6HmZ00UbuaS6wxb+JC/pXEFjXhG+Z6COWJEmSXiiyZ8Ngr5PLb335y1/mnHPO4Stf+Qpf/epXOXjwIF1dXbVb/uIP/A033FDbXgSib3zjG/n85z/Py172ssf34/P5am9YeOihh7jgggtqtWNFQCxSDz74wQ/K8ltnWE/s/d/5Jt5QAF/fEXYl1nE02cVcrkJzxEvI68K2HSqFDMZMlvMmxjhWfAClI8rG7C6GaaGtsZ68u4HAkotZvXo1oVAIVVX5+WyKe8cf5S2Jj9Pb8AbU8PVUDo9hzkzjqlNqQairOYgWDoEvBt4IjqIyMznG+CM34Zp8hE5tDn/DAmxtDaXUQvTurtptbqdi1oJgM1Gq5b+6mgK4mv21n2rosZxO2y7VAmrbLoOiomtBNM2PXTApH0lS7k/V9uVf14QW9zCw8xCHdx4kl85i2FVaGppYsKCZHt9RtEM/YS5T5vZCAxWtitVynEc8JcolhaUDDp0DIQaXXEqAFoKmhceXBCeIbsaJ2gG8ioKhZEBJ4LLGsUtzJApZfHVVyvVeMooPV8UmWswSyeXxZyooeS9VO0LZFyPjaaTgqsdQ4lQVN1W1SFlPU9TmQclQVy7SVirTUyoQKpUpF0PYRQ+Oqw4t1AKxLoZjzfSHFQ7UmYRVL+clyhyvPEg0OUNLQXyJuQ5Va+E++yC2oXB59ShGsMLNKxtZ3rCeqwY2EV7djG/FM5/eV5IkSTo7nTWBrCB6Yz/5yU/WJkRYsWJFrcKACESFN7/5zQwPD3PPPffUHl900UVPWM3gTW96E9/4xjcef/zDH/6wFrwODg4+PiHCyYHvU5Hlt36/9t99GzODg+SXt/Lz/Sn6Wjdwzao2FjYECCT2wuh25oYOsnfew3i6HbMyjsI8y12jPGwuZjeLWO8co+hppK+9nlnLS6pqUXb76Pf6uDK7nfPNB/AqVfzFGO5AkEBDA6o/9NgBiEu+WoRK7rG6rcEGiHRAtJOMu4kjk3kKwztZ6JqhyZwFtYNKuQ+naS3upUtrM4FZhSrV6QLmTJHqXAnVq9UCWhGkqsFfDepSwJguUh3PYYzn0Rt8aM0+5rLJ2rU5lZimZFeoj9axYPECFrVk8A7+DHvwQYrlAtvoYiddKPXTjIUnmSqoLOivZ82Yj+m2PhRlGVpVRVFnwS5jOiZFyhQpYSkGjgJuRydW6ySO4HOgpZTEnxrDV8gSVsp4/WVKURcz0QhD/i5S7kYMdwRNdeFTLFy6ge7O4tYqaI6CYrmxDR+VahCjEqRChayeRFEMmo0qmyvDRPNQTNZTnpnH5WjojcuYaV3OjvoAU4rKsqRCwT2EaSVonUzUUjf6us9nb3SI3clBVmd11ql7+UFvlMULL+W64Qvxr6jHv6rh93xlSpIkSWeCsyqQPRPJQPb3Z+LoYR69+WeMLL6AveN7efMF53PeoqUoM/th73cp5tLsUVYwXvLQ7V1AZLCf41PfYnEzDGtb+Jf8Wq6PHefW4iLGcjY+p4hW5+aCwBgLqjMES/O4yhazrm7KQYNieIJH/AuY09006FX6/C4aw148bg8eNMKOQ5Np0litEC/niecTeApJDF8Dk9UQo1mIBT206CUiyUFsw0PVWYjTuBaldSlaPFYLWq10hep8CStZxsoaWDmjVvDf0aDoNpj3FpizMsyWklRtk1AgSF9fJ2ta0nhH78YZexi7kGFKjXCHJ8KoswTbKeNuOMwOw0FLdHDeRBiv48Z2taBkFRR7nrJVoqC6KPkUTFcAWw1haBoGFlo+RyiXIVLOEDBytfSCkttNyeUh7w6S94Qw3D5U3YtXdRHBIuxSKXobqdgR1IrGhA8OOyZxX5pudYqqaVCwXeQdNxF3gXZPjnoqKKZDoRLGLtQTLYdod1I0OTnMYoDy9BSx5AS+ui7GF63lx4si9M3ZNKfmSaozRKaqKFojvkg9DYvquUm7GWU2yOXlg9zePM2mxa/i6sTltUBWphlIkiT94cvKQPa5a0Dp6Svn89z21f+gv/MCxorj/MmWEst7Xg3bvwTT+8h0X8OdI9DY1MzqhStIf+thUtXPoWVmmOy8lE9On0/WLFEfsbBsi4aYxcLcMVZkdxNUi9zp2cCxaoRSIIcvlqLVUyFa8aPldFy+BuaDUQ573GiKwzLFZEEkgCfow3KbZKsZ5ssJUpUEDaqHlXhYakFLPos2N0rOsJmzo7gDUUI6hEtpXJU0jtaIqXVguZow9QaqrhgFj5e8rjBnZ5nJJ2rv3TGKuKoZlohjds0QyB5DSQ7iKDpVbx8HrRjf8ZVosIMoaZ1qKMGxwCzHSwE2zLayYdiFpbnJGFUszUvRF2NnvBO9rg7D52fEglKhRMvMBCsTQyyfGSdSLjDfECLVHiFR38J8oImq4UOxDCzHwKmWUEtZlKqByzRxV8p4jTKq6uC4Xag+HZdXlCNTydsBgrpJyGuSDQSoBFSC5TTBxCyGpZBxhci7PNiBDC7fCMWKh850M5uzflyVZuYrrVSzRXyFNJ5QmGx7J8dDBbqSWSquHK6Zh/EmHfItm4hEVzMYniTpMqhLHma46QE2+8/nGv0tRM7rxNP7WBqRJEmS9IdJBrLPYQNKT9/eO37J948UsFs6eXH3Daxf8Od4tn0dVI3Mmndw5wOP1FJBlq9Yyb4fPMLY/D5iw18j64nwMfe7qFYMmluzlPrCrCgN8MqZB/CV0+x0R/nf8FLm3ctYPraLXm8cw6wn721neXuVBYG7MdLDzKWXM58RJabiHLHipJUgwaqBx7HxisoVXi8er4buTeO4ZjG1CYpMENXdnOuvY52q05iexzM/jFnOUVICmDa1AV0uqrjtCm6njCpG/jtgWTaKbeDRHDyKiUuxUXQPTqwHO7KcsrOG7XM5bnffg9+ex5dbTLrqEGo6wvaqiivr40UDjbizJuWATdK3iFSoh7t6m8l6FWLzOZxsjvr5ac6f38ey2XF8JR8lTxf5SAPptmbMkIPlrYCrgKpkwZ7HcmawnQqWraJVdLSUCzNbxfYpzMSDzBJGtQMYhh/TUnFRwa2YuJ0qXquCyxLTHDg4qlYbyIbiEDLT9FiTtelzd/kXkgi7SNdPk/fMsizn5k1zFfTqEoYLTeSGLEruDgr1C3GCXixrBNVboCE/gzl4N4m6OH1dr2BPPSipBmZLs2Trf8xlVpSV8XfQfc163K1B+dGTJEn6AyUD2eewAaWnX6Xgs//2TRKdG3jHOcfxWdN0HToOjcvILn0td9x9L92dHYztOc7Q4SE22x0MWL9grXsv906dj6F6ub++j78d+jZ6cwFXfY7bg3Xsdi2hFF7DaMu5vG7qZipDbnaFV2PpCu5SglmiGK4wa1szXNz2fUKeGPm0TjrVTspp4HhDLy0trWx1yuQmJ5meT+MLRfFF6jA0HwVbZTA/zvHMAGlrFFyz1HvjrA+0ss4bZqmm4c7PUcnMYeTmMQpicBUEfB78wQiBhk5coYZa5QQ7tIjyjJfKkRmOpXbzS9fNTKtZdGMt1bSbptAwWniOgSkXHbMu+qYDVH1e+ld0Qmo9o1GFI6pNXTJHpDLL4tlRNs4OEisYpCOLyPp7qaoGifoi5bCCp1hCz1fQjAKqVRGj7B6LOxUx85iKo9jk3UXmfWmqSoGmtAdvVUGLmJTjZQreMnFRx6DSxCMspN/uwaiGaPROUKdV0TUPpuamonuxFYVAMU9ddpbO9Ch62cBUVIpRSESLZOIZzqvCdUmTor2SmZExKiNlJjovJt96Lqaoq+uZZEXJRWLyp5ScIrG+K5hbqFLQVzN3qIrl3sdFzgjuhsvY9EfX46uXwawkSdIfIhnIPocNKD09d//iFr580ODDr9uANf+PLBxX8DVvobjgem783//BNXic0N6DjNY3E2/awIOKwlu9X2Eg08iEtpBdoWX0uae5zH8rk47JTHUjvYkIoVSJguMi64/SmJklG/DjeCwsxyat1KF6HOrjaUbqV3JQbWJV2y6uXrsCnBLHjz/M9GwzI7k6Juu6OH/VCq5ojJOYma7VHhbnP51MY1aM2qAwAzczhsWwOceEPUNSmcHQMwSVOM3eFnqjnaxsWcjS1h46ow343LooY4A1USB/eI7K4BRjHOFG/X4OuLJUCksIVoIs1efpCA9TmvQzP5/Hb/rB1c2e5V0E9Rhtx8OkTYtxw6KpPMKy6QGWpEbIhbz0t4UYqa+S80xiakVMt46l6jhixl1F9JvqKI4LDR2XZqNrFrpmomkmumqhao/1rtqKg+3Y+JM6sREfhs9htsWipGs4tk3AyVBF4bi5kGRpEaoVxueaJaKPEVZG0Ko+TN8iCqGlVL2NWKpGy+QIy8cOopUNqnqJipZDjZd5iWPQV21kZr4F49BOZpQgRza9lghxMuokXaUYyvwdWKlDlBeuo7llEdPLu7jvwCw987DGnKfaWMfWN72CxpbfXHNakiRJOvvIQPY5bEDpqeUzaf7iczey9dyNXL3sMJX+H9FSWsIhaxVHb7uLSrFMcDrJL867jOVpmyG7kYvVH7KgfJCd6VeRjdVT9M9wbXUEp7wQj9mEYjlUMKnoLub8HnxGmUghg26W0U0Ty6fjeFQsMTjK9ONzRF1ajYLLR8GrEo1laIlp2N4iU8owx5V69hfrKUTbuaKpjw0lP2a6gl02Md0OpmJTVS2wndrAJsV8rCJAwmWwWx1lwJlmxJ4mYScoOXl0WyFqeYkbOqqjkqTAtGeaop7FwY3fDLG60E6XbRLMp0jOuJmMlJlr6AGll1b3MCGzl9DQArLVCuXCEXrm9lNXneFIV5mBdhWPWkesEKE5kcGvhMi3Lqj1tLrNABEzRNxbwe/NonpKqFoVxfZQMUWdWC+m5qNiuyhaKkVbpEFkUe0UfjWJl3GsdJFKFkKRBC3xLLrLxFdxCFZNDldW8kXzRTSSYsalkFB8+L0JXIEkpquEY+k0q2LwWR+T4Q6wDVaMHcKVqKJ7Bwlli3T6DS5RLcziJipH9zNXKbBz4TlYXZsI5aaIFpoIFQYxp35CsaONRa2Xku9q4wvV7Wyc9LJsvoVK2MPyl25k9boVT2s2QEmSJOnsIAPZ57ABpaf25W/9gh0zJl/4s0s4/ugbaBgLsu94N95H93O0tQ3T8nFwwWKWGtPsLXay1S5xhXIr/cXFqG2NRGfD+EsKhfwUicIUqXAOOop4g3lyXh8DwS66c1MYihdDcWE6OpYJjmlT1t0kAvXMai24pkqsmxxjWSmHma6iNsXpbHcR9jRC0UfZKjCglzmq6XjCYTatX8+qdRtQPb8+AZ4o9uEYFna+WivFZReqmHMljLEcpelZkpVRMspe5l1HuTOYZb+nRMjVQIN7HfVTfuKZJC5jlnxBYaKukWONwzQUGrl8+zjaWp1E7lW4k16MzE6iiUNU3SXGe6AY66bVasddbCaen6azNES1q40SvQTNEGF3Bc2bxhLpAqpByvIxYkcoVHUcR2fe34Dt9hK0crSUJ2k3pmmwcliOj4xSh2kHsBwviuXB65i4jTJVp4ShlQgqRaLuaRr1QZKOxRfLF/NiZxcN5HnE7uYRujFQ6VUmaXZN0+md4Iinmb3eVRyvb6Dg8rAwcYxQfh4q/SxJKKzWMnS7u6ketJkvT3E41suOrdewem6aWKGVQDFDaeZ/MYMajYs3UBe6gP/0PsDKvMWKqQAT+kqaNjRz2fXnoOvP+4zbkiRJ0u+ADGSfwwaUfrNUNs9bPv1TPvjqrfT4tzNy/+fJ3NVD/f4BDqxaian5yWpVepU0o55rWOKtp93ZT87OkTXa8JgWppkl69OpCwapKjCpJZnTihQ0i5QPDI+Oqlfw2A4+U8VlaqiiiKpDrefWssXAJAfNW0b3l6l6wFZ0QokkscE8DUWILXHhXb4IT0HFSQQZToUZq1QI6rCkMcqCJb14lixDbWw95f2JGcMqwxmyBwYxpqexOYjJTvaF53kkEmNI1+ikg47kYsojs1hGFsspkfR7mIgvxuUdZtrayQXbNFanwsytWEl5fgl6YQT/5F2MheJke3zU6114bT9uy0ed46HRLOF3hcnoGkm9SFLPk3IVyKpVCoqfrBrBCtThDQcpV3OUwz4qOPQldrMuu59mc47jTiv9dhtTlSh2USVSKhLAptGsUF/K4SuKSgsWk40RbJ9GNeinHGmlUW1gvZkjYOr0O00kwzZZl0NRLZKsppgsmaQrPrqVWV6l3EmTmmSbvpL93nZ2NrdSdGlcNL2NIXWWZXMGS+cseoMGweMtlAsphrwxfnDJdWxKztGR7cRnpEglf4DfSNG+WCUUeAm3+nTa7QrLE4PsdV2PGg1z5es2UtcsKxpIkiSd7WQg+xw2oPSbffWnD7K3f5Qv/OWr2f//LsS4u4Q/pTK3aiUPLV/Jw711vGRIoWmmjqO+46jVu2men6NU6KulC+QDI0x2+YkHq6TL7VTNeryKmw4rQqdZT9EJUSkdZy6fImtlcFwVFL2CqhqoqlmbJhbbhcvwYds+Cn4xa5UfRVHRqKIrRTxOGr+TwmNU0XUHwhqqW8Mxeihk4pSrRcS8XY14aXC58fg9mC4XjqGhGBqoM9iMkg3bpPwNpA2dYraAp6ShFxwqqkou4qXs1xirq8fxN7Aqmeag9RDTSo4X7e0h6vRQClo4xRDezAEOuh2muhu5RE1RnVlK0BOgydVA2KlipY6wy6dwoMHEF53Cr1RRMmFy5TAVTa/lyTouDVUR717B7Ri02jP0MU5O87Df38vhQA8Vj5+qqmOrGiKlVrNMNDGlLmBqOo7uQtFdiAzbYMWgbfIYkel+xuNejrRFeUVuiK35DHfYl7E6mqAuG8aX78MyXaRDBnvdBR4oZ+g1R+mmyHBoJY5WoqSk2NPZTEuhH0+unzo7z8XHDXD56ZzxE5wvM6T5+dHFV7ConGV1sptSUSdbuoGm5DBdC7M0RRtJqIuoOFGaqv3sbfoTknN+tr5oBYvWt8hUA0mSpLOYDGSfwwaUnlzRMHnLZ37KH6+KsujhHzJ75H702SBGax93r13BcEOQDTNL8OSm+Yn/VpaNV1htpmnVFjFcqpLZkGa8oYFSKopecGFEKrVeR2PWQMlWiSdbaa+20O4OU+cJkNFM9uo5DinzZPQcLq2EVy0QcaWIu1I0ejLEXQaOpZAwAyQqLViFerxmEC8ePBYEnSwhbRo9OIPjK1PAIWd4MQpB1GIQveLD5Sh4HQeXAy5bR0EMsFJrI/dtDSouKHl08kEvhuYhFwhQiHrpLkD7VJERc57+4DiaZXDB0U3ES8coaxamvoJhNc3d9V2sr+unLdVDxG5iiRKiWjXQZ+/HqO5gaIsXf1eJI+YqdqvnMOJppqIrBEp54qkE9TOzdCRHWW8cZaE2i624mKjUM0wbCV8DFY8PQ9HRrSoho0BdMS06r0k0NJNtbseONdJQVokoCtGQi4BPwaNUUEoFKrOTpAeOUMpnyAUVPJER1qslbtBeTEvHBEv141SnVuOZP5c2O0h91E8yWOT+meMcEFnNEQVXoI2W5AgHmz0kQjZdU3fguBxeO5qkmvFRl3fTnPIz5rj40YUX0UyJrbNdZIse5q3v0TVyhGqbgmdhJ1uqRayqguMqcnT5XzF62M3CpV2sv7IXb+CxaYMlSZKks4sMZJ/DBpSe3I+2DXD7L+7kA8ZxJqfuwWg38R3sJPuuP+XB3YfotlZjlA9xp/UQS6dhTSRMR3yST8dfRLrdRzMptMkqgVwR90SS5tEsdZkMFZeLgi9EPhirFe732OA3XbQoYeLeOsLeKHnLYLpSZMIyyehusrqLigoeJ0fInaA5PEGsYxgtXiBZDjORiTOZacKpthCp2ETNIgHLRvcruEIFXKF5POEZLL1EztQpV104loZiqRi2jeaIaqsxStRRMYOYjgvbZxNUDbqTXqoZi6zhBsvhQONewnmHq3fkcDnjzDdsJeFfy20hD5bf4qXeNE3ZBdSrNtWSQjk7QCx9I1NbFI4va+dh9WJmnD4c06IuNUbz1DgNMzNUHTcxPctKZZQlzhjZspdRmpkMLsFxR9BLBnUz80QnJ8ioGsfibYzGWmo9um1mloBmUfF5qXo8mG5Xrde56nZjBQKYoQjVWB3V+gasYAhteIDoow/gmZ8mzDxrIhPcoJ3L8dZxtsSn6VALjMwtxz92Ca2al4UhG3/O4R68PBgeoBxvZuF8jozLYG9XHU3JG1FKCn+amaI0EcCXU+jOx5gzdL5z8YWEdJNLJtsplDxMaj9myeE9pON+dm1cyp+bHdQVbsHwVRnY9HGGDjrUB9rYeE0v8daA/IhKkiSdZWQg+xw2oPTEylWLd37xVt6490YidoLUhgGi9wcI/PGX+fkDd9Cm9JF1jnK3sZPOpIZ7yRousXYxQBvl6Cg5JUZhvBH/TIGu48eZrA8zV+ejGI4TsNpwW0EsNYinkqDoKpIS09F6XATMAPG8m6UlnQWmm4CjMSVKbXkg4Q6gGjp2VcG2XHgtC381jTswgatjHG/LFEnTy+DsQobyXYQqZZYXxwg6NsVwBEV3o6Hg6A6my8LQHQxNoaoolFUXFZcGmonfhO5EhEA+QN62cCwXqu0wGTrOUOR+LtqdYs1gifnuOGMtL+OY3Ua/X+dyX4kNVS9Fp4xi68zkFYLZ+/DEd/LoOcvY69lM2u6mZS5JbPQgDVND+N0awYiO7jJYZh0nUCiQMAL0u9tItXWTao5R8bhpmEnSPDRF3eQc881xpjuayMaCOGWTbMrDVCEGJqwqjrI4J3qLwVbd2JqYElfD1hQMl1ZbRGktTRXfCrzg9WDkU7hKcyzUh3lYX8FMrIlCPMe60HYx4o5jk+cRnl/IutA9dFZbmDK3MqpUeTi6D8dJESvV89CiLlyVm/GnLd6bn6Ay4kXJavSW45TyGt+89Dw0r5srJhqpFDwMen7E2r17SIYC3Hveev7KdS2Nc/+GHpng2Iq/YnimDl+5mSVbWulZXS9TDSRJks4iMpB9DhtQemK3Hpii/1Of4kJXihFPP/G+FGHrr3koq+NTDXx2lZvMXxJNhTlw7kIuzdfz6vH/5RdNdTyYWs6SXJa6VILjvgRWd5BYZQl6rgtMD6W6o4zHIZQepDPRT6ZBIR2BWRWSYvIFRcFb9RCu1rMi086mdBvdRjNWJcdRd46HWsMMtPZSNbx45h38OaivOtTbDvirFJrzJKJVBvUg89UQHsOmwcjitQ0KIR+OC3zlCqFylboKNJc0unIemktu0eFKRsuSVUooVLD1PNPeCaasvSweyrJhwKES9TCzeQ2jmctIKkE6vQqrXSWySpnDcQ+d4wZKZp7mws3sX1vH7V2XYFbrWTYyRc/oduqdJC3tfpSQjZqfZd4IYs/bZCsqY8E4hQVt5FviBFJ5Oo5N0zI0g+XzkljQS76nF2Kx2vSzjl/FdoNhGhSLZaZnLYYn9NqMZJ3xKZoDs7jErGUVG0/BxFNUceU9UPGA6cUxRY3ZCqhV/IUUrnICjzvNnLcNzRMhF2nGrJumM7KH0cwy5ieu5mrfD1BdMNP0atyjFjmnyr5IGi01zEOLF1HiNnypNH+fn8MY07ATGu1OO8q8xQ1XnkPFF+LisQZcRY39/u+x9ZGDzAf87Ljwat7hnE9j5tsEm/Yy0HQds/5zUBINNHWHWXFBG6omMoElSZKkM50MZJ/DBpR4wtJUn/3Hr7Hm4Z+TWhii1bsPd7iXw5V3U1b302e08m339wlMBXn43KWsLazjvcc/x89iEQ5UDFYlPKhuhWMtPuory4gWQwx7ZogVOtG1UZZO7uGG817MX+27AVedzhxNJO16inaIiuPCMhNMePZxLJ4l79XRbTce28eaTBvnZPpoKocp5wYY8/aTiufQogHsXCfHSouYtlpoEcGppuALWKh18xQ0nYFqlETWYs3MURZMH2emuYHJ1g6qoRAhp4q7msapliloRYquPEU9T4EsPUNpFoyLGrfg0r0UNzeTNC9CKXXjd/uIuPM0hu/Gbffjzro4PnMu7kySqLqNdDiAv2AQyRbxlEoojo2papQ0LznFR97xoFUtfEYRQ+TjtrYz749DLk8klSFSNjCizdjxJopBH4ZjYFgVMYEumu5Dd0fQ3CE0PYymh9A9ERRXgGHbZEexiK7abA4WaWOESuEYSnEYv6uCx22guYo43jKmGSKfb2G+0EO+GMBvDBEsDZKqRKiveskGG6gGNFxLjmJ5TY4NX82rzFs57O/k9g2vpWdgjN7ZELZbZa54gF8uaiej34U/Ncvf5dIUJ22sWZUWbSHu2RLfunoDGV8j5w3XE69YbPd/i0sfGiARCDJ5xR9xVaaDBmMb8a5d9LuWUeh7JeZkFI/fxbqrunC5NfmRlSRJOsPJQPY5bEDp1w0MTbH3Xe/FWdpEaGwPofPmmMl9kKyToqfYwI+D96JOTrFryfk0+5dx0YG9NNb9kPtxWN7fRrm9DlcowvDUxeR9YwyEj7Bp+gJ6SjvZMHgLt269gMOtfSwbGSOthii63eS9HoqeEDG7SGsly9KCh8i8wlx2P8PBKfq7FLIBB91y02A0sCbXyeJSC2ohQSp3iB2xcY62etBsC7XiI2m34yr1srKo0uxXcXl9lD0V+vFz1LRpTh1ncWaUrtQcVY9DIqySDCpYikZT0iFWKBAuFJgPiYkZAuh97WTVc4gX+girHtJ6GatpJ5nQOEuODeEZaWXOWUsks5eyPo0RchO3HTS7ynxTnH09bUzUNWPmFXKzARbPTrJ0bB+2RyPduhhXtUzPyAANqRRu1Y3b64e6ZmhuRW1qRm1sRm9uRm1qwva6sIw85Xyacj5FKZuimE1SyqVxeTzEW9sIN7fRb0W5d9KkMeLntZs66QjpTA4cYezgfhKjwzQ3xGgMmpj5QTKZw5SCeYqmn+RMO43ZQY6mW/CVDJr9oVo1h0L9GMHuCabnlnNZqp97lXOwtl7GLFkyu/KcZ8VRS9N8p8/LqPc2YulpPpDJkpxRMKcUGvRl+BJZvnvVBmbCXZzfH6bVLHK3/1tcff8QSX8I3yvfTe9xg3p9lMZF/fTnVNwX/BXpQS+Vosnml/Ti8cl6s5IkSWcyGcg+hw0o/bqb//mLzO16GLvFZtXMfjIXxUhV/gErcYiypvCg8TPS6jomFl/Gyr1JljT8O3PWNOv21zPUtgpNXU7FaOCh+A68ym4unbqMhfmDNE08zGRTgM9c8mdsOfAInYksmupDV72oio7lmBhOlYpi1QZ2mRrYmkmgUqZzroClGAz0tjPZ7iLjylJQy/QarawXvbRFH5XUEfKpQwyH8ozVa0xEHabCblJ6HHelkdZKmKZqmAYjgq1WyWlFjEqZcDpNUyZJQy5F0CgwXecmGYlg+VtxPAuJVNtoIkxU1Rh1Cmht91MffpDm7Vm8Az7Gw5eSjLZyuDXHWBOsmHNoTiaZa4myfVk7dqBKLFFlaqYRvVxhy/B26oqzZHvX0mQqtA3uJ2rbtF54EY0vvhpPTxd2uYw5PU11eobq1BTm9BTVySnMRALV50VvaECLxdFiMbR4DD0eh2CIQrlIJpsiNZ8gNTtNOpmi39PJIaeBTb31vP6iFdRHAxSzGQZ37WB4z04CsTiLN20lqiikD9/OzOhdTFspYhmDA/ml5FImwUqZlmCMaZ+Ff+kRAlWN7lmLn5ZfwXxdE1dd2scX79vNulKM83NwU4eL+8I3UpeZ5mOpFGNzLuxJlXptFVo2zU8vXcdQ3SIuPuilW53nFv27vPj+MZKBGH0vfw+hwX5CAR8NvQc5nirS+opPMrq3RC5RZvN1sqKBJEnSmUwGss9hA0qnKk5Mcfuf/iVHmwJszI/gb5xhbvl1zKcVetIr+Gbw54SmHe5Y+waWHCmw1H0XbtcvOWdfhP6utRiWqB/bwq2tD2BWU7x1ph1X3k/j2N2kW2IMdW3ivmWbeP+BWQwlRVEZo2KnUMoGFFSyBpQqFcLZDBYOqWCAjM9NVa/iLebpnMsTqCrMNy8k2b2ZnKuESp64y09McVFvhChXZsmnj2KnR3HnyzgoFN06ObeK7VTBttG1OG4ljuGpo+KLU/YEMVwBKpqXKh4URyeueWhVXQQck4Q+TlPDTwgag3h3qKiTbmbqltLf9SKGmn1MxY/RmkqzcNoiHdF5dE0fTsQkPFckPduIVdLZMHuY3om9tAUbiUfjVIePQmsL7S++lpZLLkH1eJ7ycnQMg+rMDOZcAiuVxEwmsVJprNrPFHaxiFOt1rZV3G4cjxvDskgVSxzOWkxbHrrqPCxf0ELj8uX4O7uYnJ1iYP9u/OEwS8+/hMbuXkqD/dx9479Rn3uUdNTN8MRCivNVQmWDoCtMefUwy9zjKKk4P02+k6NuL0tWhhisjFOdUXhzzs1QfYwf1t2IPzfMxzNzHJkJok4r1CtrqJgZ7ti6hqHYci4+otDhnuCO6o28aNsE88E4C85/O7HSLvx1awhEbmfKdNH3+s9xdNs8yakCW17aiy/olh9fSZKkM5AMZJ/DBpROtfvjn+GuY9NEXBNsOniY+dfHSPmuRz2qM+e2OZy9hUfbX4mSjXNNZTczTd/h9XdZPLjgckwlRDCzgJ19P2Onr5H3TOros4uon3mA5steRThf5r9WLyOoVunNTtJb30lz3o2pTVLtSFKyxshNj1NJqWRLIZIJjdK0jWkoqNUqnnKBZERHqyboHBshVDSYqW+i2L4BS+/BVh0Cqpt2LUxM5IFSJueMkClOkSkWSGDV8lMtUcpLDOWyLEqWTtl241a8xFw+WpQgPZqPOrcb05pAL+7HyR1FL5bEKDBm3Y0c6llPofFcPBUPOf9hSspBFkwFKPg1Dq7swVdXomtghlJmKUN2nMXFMfqmd9CbLxCORsmWy5QWLqD7pS+lc9263/mIfBHs2qVSLait/SwUH/u9WGBwcIJt+4axMmm6CxM0ORUCmgt/WzvlUICJXAr/mrWsePFLCURj3Pyj/6Hl8H/V0jLSPh+jg51U5i1ChQossNnSvJv5Uit3T76JIXc9IyGLSHOO+USJNxchEO7lZ7FbqFb28cHMPAemIugJlSZzBXO+Mg+uW82MdxnnjVaJe47xUOZWrnl0mkwkTsuKl9IW2Eew9Xqc6n+Tj3bQ+5r/x4H7JpmfLLD1+r5a7qwkSZJ0ZpGB7HPYgNL/Kff388CH/oVftnRw2fBDNJXTzLyth9FDPSwsreVHvlspFBp4KHoxr89tZ6TlNt754CxH69YyG1uElujgWM8dzHjKaFPnc+1MkPryDPqyLbjCMwxrJf69ax2vGqvQNV2CXE6U2Kdq2jiGLUaZ4ag2ilpFcUqodhnVrqCIgvmORlXxUtHC4Ci19SWvRTAzQjQ9Qk7LMt3Qjh3sQ1Ob8dpR3KqnFpA2+3J49RQexxKvRtFxyKNh4kGzNLxVFY/lUKRMUS1RsSfxFPcT1Gdw3DaTVgv7PRsw2rawsOJFn82SY57RwCO0JRXQNPqX9hBrU1gwDKOT3QzpLvqUWdZP7qBrbAQ/KpmeblILFtB39dX0LV6MKkpgPQ9s2+G+gTl+9OgoMafEJnMY/ehuIrZCtGJijo2T1RWiF11E7+vfxM9//n1Wzv2cWbUVjT3Ml0OMjvagJlJ43FXW9h5i1t/IkZHzSdHLg8EAxVgWilVeZJdY6F/BXu82svY9vKWY5choCC3tptXoY7hB5dHla6kYC9iULmL7DtA//gAXH5ynGo1St2gFjc1l4g2vopz+f2grr6b5sj9j9+2jFFIVtry0D5dHDgCTJEk6k8hA9jlsQOn/jH3+C/z3oTQhZYiL9u4hf0kv4wuDRA5uYShk0596gB3hK9igzaH7t3Hp2EEWTajcuPiNhApeBp1DVNqH6ZnajDe1GC8uKj6wFQPdnGd/exOzYQ9X7NgJGFg+DcevgVdH8btqi66r6KqKpolapwqqIyYVSGLm56hm5rDyBeyyF6phFCeCokaw3c04qgdXeRqlOoHhzFHxA+56FLWRghYXk7QSRSXsS+HyT+P151HcBRRfBcdXwdSzaGYFV9FAFVPwWi0MWcuIes9laShOuVhiIp8lXzGZ9B/AX57DayqM9HYSaw/RNlXH4XEXCc1mlTLNppkDtIyM4qoY5NauZXz5MhZu2sTixYtxuVxnzMxtP9szyT1H59jaE2GDL8P80f2kBwdpMG3UQ0egUsF3zUvYpeS4VH2Uqc6Xkzt6E5q2j/HZJSQnI7jzU7TUTVHu8DM3t5Zy0sexaAMPxdz4yrDBk2aVbyUV6zAFbuI8q8hwvw+tGKK92MCh7hh7F63Fm+pgsznPhGcPxUM7WTeSRY02UL9IJb7mPPzlJVjZzxJ90fvxLb6MR28exjIdNr24B02XpbkkSZLOFDKQfQ4bUHqMOT/Po+/+S77et5lLjtzE0uEZpv6uk+MHFrC0uJafee4hkwmxr3kzrzW/h2VNct3OBIeWX0K/soRgYohpv5dmo51i2UMdQRZcEObw4YdYN7eH4LyHf7vilVzjcXHZ+avxLuhF0Z/56PNCYYpDh37B6LF70NMTlEbcWENu/Ckoe5rJh3uw9TiamcWpTmJZM1hKBhUXZTEFreImRIB6JUCD4eAvF3BK89i6h1y0lWysE1e8i4gvgOGxGLXSpMo2lYpO0T2D40yhlwtMtzSjxxsIm50cmzPxpkc5N3+cVaV5InPz6JZNYdkyBtaspm/FCpYvX47X6z0jL7fJdInv7hhjOFHg+rVtrKtXGNm7i9F9u3HPJvAdPUbOG2NyVTPXd8ySWfUn7Nn1CN3Z7zJjaQyOb8admSagjpGPuXE1XU5m3wR5t8YtTXVY1Tp66jKsci2gLT+Oyk9o8BaZ2+1GrTbQkfewd0kXBzrW4ck3cqkxzm73DmKPHmHhfB493ED7ygSNV/4Txb3DeJxvUffaz0HdEh7+2SDeoIu1V3TKSRMkSZLOEDKQfQ4bUHpM+ic/4cc/e4ChjiYuv/dGPE1BBq4N4tlzLvOREAfmt7EvsIXLGx5k3J7nbbsHaQ66+V70LbiKPsq5e/HUqyzIVUlmz6FlaSPegz8nmCvT0NhN4tpX8B99Lfz7ym68v4PC9uVymb17H2Hw2J141EFUe4zSsSj+wxAbTZEJdjBbvxjL3YBumfjKkwTy4wTMPAWPyqzuY9wbZz7QgB4IowR9BHUL3WWS002KtkqgHCZeCGFqBfLWIKY5TyLSQC7cgcvTQkMlS/fBe1mUGKFDVfBHoqiiB7apkcHly2ldvZqVK1cSDAbPitrB+8YzfHfHKB5d4/VbuuiKuhjdv4eB7Q9SPXiQmWkTbbHOK5c7VC/5IPc9spfumR9QcPYzNLqFTMVLM0eZEbOK1W3ENRclmxtie9zPpLaQWIfBIj3GeYksfudnmPEkmQd9aE4bTQWbg8uWcDS+nrI7wktTg2xTH2HhtuM0VA18Pj8tW8t0XP11Erd/h2j0UaJv+E8qSpgHfzBA2+IYizc3P9/NKEmSJCED2WdNBrLPjBjlPviXf80/uxexdm475x7az9y7mzgwtoQ16XXc7zrAuCjF1LeGdeZ3uHzGoHdihsnuF7Hb6cRl3oPlpHi1p8Kuw6sYqz+HjeX7CLdsINIEzZtjfKvvUkzH4e3tDb/TD7n4srJ7924mRgbx2ENYzjHw5eGon/D+AsHJJLPRTiaallL1NKEpQTSnimbn0FwapUCE+UCEFB4qpghebcKGRVUpYtgz2MYAJbdGKRIhJspU2VA/cozQ0GFC+QKB9nbiXd1YswnS0Qgj7R00b97E8hUrCIVCnG0M0+a2Q9P8Yt8UG7rjvGJ9OyGPWqs9e+DWm9l+MMmKyHGuXKjhff2Xuf+R3QSn78eb/SlTqXbG892E3POUXAmSmT6idg+5gsF+bY4B71L8i120qyYvnXLw2ndRbBwke28Yj9ZDqGJybOEShv0bmWr28rqJAbZXtrFh2zEUv59GNU/dazcR7f4zjHv/lfolHrwv/RdyGZOHfnSMlRe10bow9nw3oSRJ0gte9hl0KCqO6EqRTiED2WemuGMHj37pv/jqggt55T1foUMvcPBVS7AOduP19HB3dieD4cUsiz9MqFDkZfuO4Grp5DbfFZjVBBn9Xi42LHyDPvZHX02pOc6rlyxi2NzLGs8v0F/5Vf58KMX7uptZFPj93F6fnp5mz549pOcTuCp5Cpl+PPVl/Mzj7s/jPVzGPV0k5xKlsjpIhZqo6uJYdFBEwdpybbGdIraaRtOq+ByT+qpFzNYJWRq+YhmrYlDSFKKt7cTCEYx8gVRzM2N1dbRs3FBLITgbA9jTJfIVvrdjjMNTWV66po2LlzSiYDO8bw+fuuEeXmLcwppQgdB7fsD+wTGKg9toS32PySrMTC+l5NFxYvNMV7qIj3uoGiF2eecYVheiLfTT5pnhtRNBbGcPVvxR0vfHCbl6cBSV4c4+Rn1bSLdbXD86xIGZBzhn33Hm43EWMUnnJz7L1GGVxoEvEbvgQrTz/oTZkSy7bh2pDf6KNooEaUmSJOlsiMPkFDfSs7/g7r6HHdEOWgrTNGWzpK/zMzMVZoXVxKPOJHrZptjnI2PMc924QTnsZ8q7AhubufZH6Dmq0lbMMeisYCrayUs2dOE7r4nwjz+Fd8NLeNTQCGoaC/1PXSf1t9Xc3MyVV17J1NQUBw4coOIJolcrpKcm8XZFKa4yoDxJeGaaxSNT6BP9aCkDpVDFENUDRLqDpqCqGm7Vhe7yogXC6KEotkujWMrU0hn8Pj91Pb1UWlrp97hJNzbSs2gRly9adFakEDxd9UEP77p4AQcmMnz7kVEeOJbgLed207tmPZ/oW8rffLmL0PDn6PjIFURf/inCa67k+G4Py3M/xmk/TGmijWLCRzGaJbE6Rv1wiDWT87hCAxw9tpjh7kb+t+UIb5paSTETILbxPpI7FGJ6J41zkxSbHiWV2syd7Y2cr2zhcMZg9egUR5sa0T76Nyz4z5vYl3gxyx76Lr76RTQuuYgF65vY9csRznvVQtxe+b9GSZKks4H8v7X0rIhZo9JHjrCj7yrO238TWsQi1bII/4AHRQ1yrDxJMd5Et7OX3oxObHaM8YXrGFZawJ1GKU8TK9djz3kZ6b6QQkuQNS9fytCuO2liHnXZS3hwOs+5seDvfTCO2H9raystLS3Mz88zMDDAkC56A8tUJyq4nQa07o2oGxpwRWJ4fH5UxyEyN4evVMZdLonRZFRFr2s2Qz6ZYHZ+rpYSEVp1Dt7uBcwqCrPFIo0igO3pobOzE/23GLR2tljRFuGjL1leSzX4xM1HuHRpIy9Z08oH3noNn7ixnncd/gdC33sv+9quo+8lr2HfYRfrcjexvzFFPOGjddZgp+km3TVMtf4iVh7ahU89yK7RVQx2r+S7DffzR3NLmbI9xFbcRfLgGA35NkqeWcrOXh6JryPWWGYRWxnP3kFTqsxgzIv2gXfS+nefZuBHMyy9+QsoDQvpW9dKarrA3jvH2HBNtxz8JUmSdBb4w/0LKj0nijt3MRyMofn89M0MYKxzmEw30FmO0O9K407nGV/QQ8x6lIumHDKtASy7Dctd5Zj/p1ycdBM0PUzHl1GMNrFgSyua6N08/HPM7gvJ6wH25eZ5XUvdc3ZGRUBbX19fW9atW8f4+HhtGRkcZCiRRJmcxM7n8GgagVCQQCCIbVvYpkW5WKBYKuIOhHD19aKtXkPFdpi1LJqiUdpbWjinowO//4Vz+9qlqbx0bRsbumN886FhPvKzg7zxnG7ecPEKvub9f/zNyCdYN3YTd39lgrbzL2dX7OWsVW/mUTExQw6unXmQu5y1JP330r/+QvqOJNCzO3l4ZA17Fl6GN/ZDXp48h+nIxYR77mduaJKWpEPZ5WHdsX5+traP11YtWtZfTOXeX+CUvUxPjRP92Q8pbdxEYuc09T/4Zzxv+VdWX9pRG/x1bOcsCzc0Pd9NJ0mSJD0FGchKz0p6+3b2B5tpzs1S5+RJNS4inylSp/TxE5eYSMDB8kyxZNohMj/JA6vX4irFUewpIn4b7/EQdck8+5acS7bVzzkdUcz0JN7ZvQQu+3O2Zwp0+9w0eZ6f2qkej4e+vr7aYp57LslkstZbm0gkyKZS5HJZ0sUiKCqKqqHHAoR7YvgDgVqqQCwWqy3xeLxW2/aFrD3m5++uXsrdR2f597uO1QLbtb3NfCXwEd4b+BRXjx3mtodUrEgD23suYF18B4+YDqgWL555kB11i3DZFscXrKRp8mK2JB9k+8ByHlrwCgKxb3Bl6irmOjYQKO4nMTNFx5yKqbg596CHb6yt508tFW3LVbTf/3PGW0J4br+RxT2Lubd5NZdP34r9w6/ge827WHdVN9t+fIx4a4C61j+cdA9JkqQ/RDKQlX5r1ZlZ8iMj9K9/JYt33QJNFknfOppSM2QVN4VsmnxzPW5rH1dMeinWObiKHRjuIgcad3FRrpl8SqO1u46KFmQi4GJ5a5jCtv8gHV5MW0sfDx2f4tzYmTH4SaQAiJQAsUi/HVVVuHRpE2s6onzjoWGmMiV0VeM7q/+B16v/wrUzh3k42M7Q3l3cX9fM6vo59qZ6UWIGGxIDtNrzhOrTDNStRvWuYvPMAA+MLOGB9lcTCH+HzfMvpriiiNcYJ5OaoDWpYeFlxaCbr/dqvNPqILnuCjr23MZQhxffDV9m1Rv/lG0N53LhzC8o/nIp4WsuYfE5Ley5fZTzX71I5stKkiSdweR0NtJvrbRnD9OhKGnLxbL0PsqNXgZzeRqrUR4KeGkyEiQCJguyeSLpaQ50rwYnhF+r4tGSLBh049NgJH4JRr2bjoYgUbWMfewuqguuYtYwGSpV2BIJyLP0B6Yu6OF9ly/iyuUttQoHdxyd554L/wm1ZTVby/dw6TUXo5YKbD/sUEeZMXUlB+MtNMykuWR+N1vDt+ENzENLAxcUhqjMeNitXs2e4E24pzfiFXnMAQ/l0ih1+WE2jkwRzvj4Rk+WbPtijO7NNM3p9LuLOD+7EbcSZLT3EvRj/03hoWN0rYgTqvNx4N6JWo1cSZIk6cwkA1npt5Z+eDv9sVbqi2nqKxkS/qWohXmiehtD5QSVkBdDmeLKYR3DVyBfWoHjSZD1zLMhuZr0fIbmnnrmS3UUmoO1gUEM3EZCqSPet55t6TyrQmKigRf2Lfk/VCIX+fJlTXzkJctpj/r41G397LrsHzHjG2l99Au88o0voXf1GsanHMx0llFlLQMNTVjDJpumxnhx+Pu0BErYTR4uKRxnJNPOjLOaQ/5bUCfPx7PVh+YLomWOEaiMcO0uMVNbK9/oniax7Bx8wS6CxUb2V6bp3vEIexN+zJ4FqHu+SnnfXC1fdn4yz/jh1PPdVJIkSdKTkIGs9FsxRX7owACjbcuom9gLcYsRfw9NFZ05VxzKoyTrvNRbE3SlDUYWdqAYLjTNJOUboXNQpxAMYHqaMNwGM5qHFc0BzCO3cExfTFNTEw+k8myNyhzFF0Lu7CdfuZrLljbx/hsPcN95f03RtxX1p//A5Vs7uPSNb0fDT2a+wKC9komWRmYPabRMWbzc9S22xsYoNjhcVu7nrvImAmaEI967cU9djHaOiuKJEkwcQHfGuH77FKpdzze6xpldfzWxsguP3U1/Jc3SAwd50FyKpy6FueMm7JEsay7t5OADExSzxvPdTJIkSdITkIGs9Fsp7d5DJhxhuOxmaX4/JU+AdLVKixplm9tFnZkloZW4bNzAqSYZVy9Ed80TUx1aCg140sdwokFmjDUYMQVb0VhgHKZo2Kitaxm3IWtZrA2/cEb3v5CJygYfvHYZL1vbxmfuHuSHq99Oyj4H49YvstDcwSvf/7d0dvSQEVPRGotItjUwvdeikujgvOJtvDV6H/l4jksqx7lBeTELjRyHXI8SmruY0oYqHm89sZndaExywc4SEbvCtzonmN/wMvzpDFa1nbJbx//ADkY6X0zQcyflh/cTtmzaFsXYd9eYTDGQJEk6A8lAVvqt0wrG4k1UckX60qPMehbgqaTxu3sZqUxj+NwY7nE2TajkO3ScTBy3K0VJd6hMqKj1QTz+MCXVRzkeZVlLGP34bUz4l9Hc0sKDqTybIgHcYrIB6QXjvZcv4vKljdx6PMNX+l7O1PQKKgd3E370c1z/1j9iy0WXU1Y8HLC7mW+oJ793itHsZuqKCf7e8zPq6vez3kjw396XsqEyyBHtGA358xhenSfqbSM6vQ+vM86S/Q0EOMyPO+corL4eMz1OJtdE2FDpv2031YUXEQ7+gvwDo/R1h2s9siP755/v5pEkSZJOI6ME6RmzCwVyBw8x17uSpvxxFLfN8fouGgydhFoH1nEyIYuV+Rz+coXhxk0YrllcqkHZtulLjeHEdUyrnoJukPeFWR4xcOaPMWC2Ut/UxPZ0nnNlWsELjq6pvOfyRbUvNinNz5d6rqJ/d5ByJY56x4c5b5GbF7/uLVS9EYa87YxFWlD37mUqsYQZp5c/trZxTfjbxHHzM/+FLKkcYdrO0F3dxPbFs7QG2ggkjhGsDtJ+cCO255fc1ZKBhVczU+gnp/bRNJxg53EPmtsg3L6P0oMTLF/fyJHtUxQylee7iSRJkqSTyEBWesbKR/vJezxMaXV0549QVnwUHWhQIuxwuagz8sz7c1w1lMHUSmSNNbh9I8TQyM0kae5uY85wUVG7KfuKJCyVZaUdlBvXUrJ1pjwBPKrKkoBXnp0XIL9b5z2XLUTM49a5tJcfLbmCXTeOUOx8bW0w4OLkTfzRW95IOdpCIlLPkfgC3PsOUB032KNeziJXkb9WP4HjizDk68BT7adS1VimreSmvmG6vU2401PUlY/Qsfca5gLfZn+8jKvzEg4V90FsE+5bdzFZdzmu2Vvw91VwHZqnrTdSm/XLsWUVA0mSpDOFDGSlZyy3fx/JaJTj0wUWZwaZDHajFbN4/L1MMYXuWFQ8KXrnfKR6olQKbnyKgd+up3lyjLZ1S8mWfXhiYcxQnLBXp2nybqaCK2loaGBbtsjW52BKWunMLs8l0gyOTOdYc+EG9qy7lIf+7UZSS94NgUaa936eN113LkbTAoohP3sbV6DvmyY4vpvDhYuYD/bxDvvL2GEXEV+ZYWOKQLmeDa4FfG/hQVq8dSjFLI2lQ/TteTF7677GnNfC03EhDxe24204l4lvbsPsuQxv8tu4mjy05gwq+SpD+xLPd/NIkiRJvyIDWekZS+/ZS7F7IUZuhub0PINNXYSrFWy1EdM6SiYEG9MZ1EqFsfBWysFjeDAoFjRC3c2Ui7PYxMi7NCrBOpa5Z1HCLYwXPYQbG9mTK8q0AomOuJ/3XLaI2w/PsOxFl5Baew73/8O/MtZ8HWz5M+KDP+XN6124uheiRWz2ta1A2W1SP3sviak2DjjnsML3CJWIi/P8+7mjUqAlv4jz1U6+s3AnQU+QqlGloTzA6ocv5Z7YV9BsB7vnQrYV7icUWMfRmzPg2AQjj6D7dfqCOkcfniafkikGkiRJZwIZyErPiJlMUp6aYrZ5EW3lY7VqBRVNo94JckzTCFSKpPxZLjqWxwhbVIqL0DwTBLFxz87RcfWLGBmYxOOJMW+WyLkDLK3sxe69iJnZWaaCMVo8Ltq8bnlmJBY0BnnXxQv4/qNjtL3sxURWLuPBD/8/dlc64JpPE/T7eG3TIA1dzYTqK/S3L6C6y0dTZhfKbJ7hkZVYjXmm66K8MnwH3zIcunMbuYYWfr54J1WvTtlRiDrTbN2+mge1r9BQVphfeAEPFx/Anelkdm4FypGfElptElKgya+x985RmWIgSZJ0BpCBrPSMlA8fJhcKcTyt0FccZMbfjFYq4A70MaanaoO7iv4cHckAya5mqmUFNyaNlWaMaoIly5YzkXQRaYhiuTQSxTLLzCOkwktr+99vKbI3VjrF8tZILZj934dHcV76Spb2NrP3k1/gpqM5nPPeh/f8d3FpY5JFTQ5tnSXG2tso7ovQmJ0iWJmguC3MTGOIVL2PV8R+wX8ZKr2ZS3mpHWZ73wFSXoWiouP2VVi/t5WR6a+wKK8xsHgLO8o7yO+NUPZuRt35JcIXt9KhKZSmiwztlSkGkiRJzzcZyErPSHr3HvKNjQzOztI3PcFwfTtquYDf3UHeGaTgdVheKKFUq0x5t1AODRCkgj/fhnluN+WRA+Qrbpy6esxgPS3ME+1awUyqgK+hif5imS2yWoH0BMGsmNL2h3umGLv2NWyt05n53+/y1fuOU23bhPflX2TByo0sCiZZtWCWZGc9lUM+xCy2Uc8MnnvSHIovIRrJcl7TfXynqtGVvJ6XODqHuvpJeCCv6VQag7RO+jD2fpl1eQ87l6xkf+UQ0/e3YpVttOGfEb2si163wpH7xmUVA0mSpBd6IPvFL36Rnp4evF4v69ev5/7773/Sbaempnjd617H4sWLUVWV97znPb+2zTe+8Y3aIKHTl3K5/Ht+J3/4xJzzuX37KPcuwS4liBcKFH0+YrabvOrFMObJBvJcdjyBGYRqsY+S7zgRu4SZzbH25W9g4JGD+D0uZqsuSv4Iy+wj0HMhMzMzzETrWRzwEXPpz/dblc5ACxpDvP/KJdx1PM39l7yKC0mgP3gvn729nwI+Qlf8LaFrPkzYp7K19xjWojCeAZPKdANxd57IQ8e4K3ou5+n7iHQf4jbLTUvqNVytmBzpOUbSpZFVVZKdbbiKDp6H/oNz8yHuWNLFUHma2b0rcQ7dhEufofXSTuJVm323jcqJEiRJkl6ogez3vve9WjD6gQ98gN27d3P++edz9dVXMzo6+oTbVyqV2qh2sf3q1aufdL/hcLgW9J68iEBZenaqE5OUcjmmw120VUeZD9SjmVV87g6GXQZeo0jBV6Bzzk+yvQ2t4qApJg0FP9PBCj1NixgdTtPc5CddyJOqGiz1zGM1rWRubo5+3cs50YA8TdKT6qzz86FrlzFZUfjuxpezefowLSNH+MQth0nkK9StvJzAa/+L2dgaNrYdoW41tA8nSCZaiBg2od3HuDF2MX9i3MT0ggn22WHqUq/lWq3Cvr5RsrqHrAITixdhVqv4Hvh3LsxG+Hafh+mMi+z4QpztX8LbHWTxOc2kjiQZP5iUZ0ySJOmFGMh+9rOf5W1vextvf/vbWbp0KZ/73Ofo6OjgS1/60hNu393dzec//3ne+MY3EolEnnS/oge2ubn5lEV69oqHDpKJRBhLpelMTzMebUEtF/EEe8lp47iMEqKllQrM+dZiBI/itzQaim2wsRNjapD5nE2oo5Oq5iaXT7F48TKS6Sw53c2MAxvDMpCVfrNYwM3fXLWExpY6vrL8WjoO7WC1leKfbz7M6HyRpvYeul79SXa1vZHW+gR9G9Ksmhgnn4viy3pwDqX5aXgLHyp8nYcXzTFlNeFNvIyXubMcXJggr/rIOCbHV66kapSJPPRlLsjH+fe2DNPTSzGGZuDITUS3tLK4L8y+nx+nXDDkaZMkSXohBbKGYbBz506uuOKKU9aLxw899NCz2nc+n6erq4v29nauvfbaWm/vbyJ6erPZ7CmL9OtSu3ZhtrczOp+gcybBXDSCu2IR1GKk7SnyPoMLJ+ewNIeCtYDp4BFazRSG0sPmF7+EsUf3oVAk62vD8MfptsfwL7yA6elp5uqbWR3yE9A12fTSU3LrKn98fi8vu3g53+m5gNS2R7isXuH//fIIByYytTs3G657Bw/1vhcrFmTxugnOTY/gKtj4Ug7jQ3Xc717KJ3Kf57aFSQxzAdX/n737AJfjLA++/5+6ve+e3o+OerVkWbIsy73jgsEGQq8OaeCQAvmAAEkIb2ghBEhCD9XY2BjcG7Ity+q9nt7r9l5m5rt2HfzGYHixsX0s6fld11xny+xonplj69az93Pfk1dxg2uCuYUpCrKbbLnI8dWrKRSzNG//DmtLYb4cmmFm+Fwq27+PlJ2k87U9+BSZg3f2i7smCIJwJgWyc3NzGIZBfX39c16vPq8GNi/W4sWLa3myd999Nz/84Q9rKQWbNm2it7f3t37m05/+dG2G91dbdVZY+M382OyJE6iLlpDM5vAZeSxFwUGYqGJRKKdIu3L0DJkkW5twFmUqcoVwrsSsHRqCjQwe7CXoNplIQEGCRT4Dgl21sluDdrdY5CW8INVvXrYsjPCJd5zPYPNCHnt4F5d3evj3x/p4qn+OUCjEhVfewL7u9zMZWk7bolEuM/sJZzLUTU7yWOwc+irNfCr3Ge7riuKtrGS690I2+oaIdM5QlKutcXMcPmsNMTPNqid+TIPl4tsemdRwG+bj/45sU1j9+h6mj8eZODAr7qAgCMKZttjr17s3VQOmP6Sj04YNG3jzm99cy6Gt5tzedtttLFy4kH/7t3/7rZ/58Ic/TDKZfHYbHR190X/+6aoyMUEhm2PO3Ui4MkvMHUQuFVBdbaTUJLZ8GtOm4MorRH2L0NQTuMoughk32bANo2QwM5WkqcVPIhUnWcqwqKsLwzQ5EUtS0HTWeJzzPUzhFNToc/DJP7ualRE7P71vN8vrXfz39mEeOzFDIBDg0iuupr/zTZxouhR3Q5TXOI/QbmRYNHCQb1s3kEv7+WD5s/yyZY52aSN9h87FEZxl3YJBDMVHuZDj2IpV9LoLXLb1HmZ0izu0NRQOHMXqfRB3p4/FGxs48LN+ShmRYiAIgnBGBLLhcBhFUX5j9nVmZuY3Zmn/ENXqBmefffbvnJG12Wy1BWL/exOeK3vyJGmvh8G5GZqSc0z5Q0ilInZ7PTkphlbOsySbw6yYJKQl9PuO01RKUNIXs3DVMmZPjGCU55AaF1ORNDL5ND3L1xKNRmuzsecEfdiVef93lXCK0lSFN//JTfy5e4bhXQewqRLffWqIew9N1v57vuSyy5lpuZyjHddTtltc4TjAUluGlUd38kX3m/DNKtwgfZmj4Um69fM5eGQjgy6TTUuOoFTbeRQLDHT3sK9R5a0PP8ATzgwPV66gfP9XIDtH95UdOD06B390UlQxEARBeAXNW+Sg63qt3NZDDz30nNerz88999yX7M+pzvDu37+fxsbGl+yYZ6L4oUNYzS0MzkzRMjdHzulAKYJfdjFjxshUi8kPZcg0RVBLThJanpbiHHnHYnrWLWds/zEkM0FcbaWsO2h3GTjC7bWyW2OeABsDnvkeonCKk3SdVX/ybv6scIx1s70YpsU3nhzgJ7tHcbvdtWA23byJvqWvJWm52SztZ3MwyeKj+/mX8BvpnimwRPseJdc0XbZz2T14HjsMP+vO3ovDsKEUK/S3BDnRWcctDzzAbS44EuvBePhfkSWJs964iImhFDO7p+f7UgiCIJwx5nUK7NZbb+XrX/863/zmNzl27Bgf/OAHa6W3brnllme/8q9WKPjfqkFpdasu6KqWbKo+Pnr06LPvf+ITn+CBBx5gYGCg9l61KkL156+OKbw4uRMnsS/oYSpVJFDKY8oSihyhIJukzAlyLoPmqEk81E2kMoCn6MFetCjZdJSgg9FjAwQ8JtOJMnmrxKLW+mpeCftmo6h2OyvcDnFrhD+Y4nbR+MG/4OKZI3xIHqAz5OI/tg7w5cf6cDqdXHLpZeQa1jG8+gZipTCL0od4bVOUpr4h/jN0NasSM+jOn9EqJ2jRlrMjdSG/nFnI0vP24C5LOAoqe+rLxDoW8tZH7ufffSuZ3L8fs38rngYXCzY1cfC+IcqporibgiAIp3sge/PNN9dKbn3yk59k9erVPP7449x77721igNV1fqvv15Tds2aNbWtWvHgBz/4Qe3xVVdd9ez7iUSC9773vbVyXtUKCOPj47Xjrl+//hUf3+nCSKUozUwT9YfQygWybmctraCaH5tWMthzaTRNQy+aJNTFzLkPESiZlNRWbF6d6ESWSmaU+pYI8USMVCnDwoWLa4v9dmWKbAz5UOUXnxctCP+bGggQufWDRAaO8tflo7z13HZ+vGuUW287gKbZuPiSSyk2nMXIOdcTL9bhHznK+1qnsabL3OvawMr8ceLuh9hcKlFvNPCU7QIe7t9Az5b9uPIVfDk3j7Yk0MMLuPyXd/OFwOuI3/7PUEiy6LI2cGmcuKNPpBgIgiC8AuY9KfH9738/Q0NDtRJY1eD0/PPPf/a9avWBX/7yl7+RKvDrW/Xzv/KFL3yB4eHh2vGq+bbV2dmNGze+omM63eT7+sjYHYxkEzSkY8Q8HuRSGae9joyVqeXHrowWKOluSlaYfkeS5socWfsSuhYvZurkLHJ5GLNuKRVTIiU7WLhgITPV/FjdyUUN4fkeonA6BrMf/CDG8WNcc3IrX33jag6NJ3nnd3ZRRuHiSy7BaFzD+OYbmC01Ujl8lL9t7GeoWM9ReRFL5G1Mep7gtRmF+qzGkw2buPfYFXRv2YcjX8CbdrO12yLgCLF820N8234RqTs/haLIrL5xAYNDKRJ7Zub7MgiCIJz25j2QFV79EocOUaqvY2huhpZolILDAUWJsORiSh2r1Y9dPJ4n3thBwIrWcmS9xNGUbgKL6pk8PIBRSZHQuyhLCq1hHy67xtMTM7jsNhaLtALhZaAGg9T95V9SGh6h8d7b+O5b1hDPlXnbN3cynSlz0UUXITWuJH7J9UwVm4ju6uNTgUM8pa8hWQjQ4XiYqOsAN8cctEZTPN25lnv6Xkv3hr3YclnIyfQv7CBcLqIeGeehsTiF448Q6fDRtDrC4YeGMUSKgSAIwstKBLLC/1P62HFsXV1MJouE8ikMRcHQGpFlgxlGKDk0IukCKXcHPmsnroqLklRd6+2k6LGRnxnA5ZKYTZXImQUWdj6TOrItnuIcr/MPKrcmCL+L4vcTufVWjGQK9Xvf5FtvWIZNlfnj7+9lIJpnywUXUAkupHzNDUwUG5l4eoR/cuzhQe8VaNkCIc+94JjmqjkviyaH2N2xijun3kDHij0ouRTTxTTJJevpGD/GoXgH2+/4AmYxzfIrOkjJMkP3DIoUA0EQhJeRCGSF38kqlSgODWE2h0nndEy7hlQuoTiaycoF9HwOXdGx5UwychsD9ll8lTw5Wyu6y8bceBa9fIxgYxOJ6AwpRWdRVyeFSoXDRYMLGyPiDggv+wKwyAf+AknXKH/lS3zpig6CTr2WM3tkMsOFF15I1tWKdN1rGCvUM759ko/Ku/h54HrChREk3500agZrZ32sHjvC0ebl3FH6I+ra9yLnEoxWMoysXM663Y/zoLqZJ//9HdgcKsuvaOfkyQTZo1FxhwVBEF4mIpAVfqfiyAgFLCap4MllyXjsKOUKLluIvJXHmcuzIFYm621AUhWiZY2QGsWSe6hrb2ZmKIGUH0RtXEy+ZJCyB+lp8PDE+DQu02RlnciPFV5+ss1G+JZbsC9aTOnfvsD/OcdHvcfG3911mEOT2Vowm7I1Il19GTOFEJM743zQPMwvPJvpKe8n6XmAFZqfjmmN9UN7GYws4xH765Dq92IUY1SMCLtXuDnniW1slXt46u5P07YyjLvDy/EHhjFEowRBEISXhQhkhd8pdeQouWCQ0XiUhmSMvMNOqazRKDuZcvZT1CosmUyTrG8lbA2hGy6cagLd7MTVESY2OEGpnCZp76FoKTTVBfDaNZ6YibHKodaaYgjCK0FSFAJvuBnvlVdS+c+v8qnGVC2Y/eTPjzKYKD8TzNobyVyyhXTBTXRPmreZCR50dLBGeZBZfT9rtW4aZnOc27uT/shq+h2XkwocImtGCSubOFkXp2nfNIeOH+NQ75OsurqTybzB9KOiW6AgCMLLQQSywu+UOHoUrb2DsXiC+nSCiqZTVMI4sRiWhyk4VSLpHGlHB2Z5H6psJ6lD2AyQsavYywNYmo1oMkdBhkUd7ZRMk4OZAueG/OLqC684z0UXEvmzP0V67GE+ltuPX4P/767DzBTkWtWUnKuZ0U2bMHI66QN5LjZt7NY8rPV8m6QyRY+2jkhymk3H93GgbQM5eRVR5zGSRDHqLsSWPMFMopED3/s/FGwpujY1cfxQlMJwUtxtQRCEV0MgOzg4+FKfh/AqlR8YwNbRwGxKQ1MNqJRRbRHyUhkrm0NR7ehFmYJcx3S5iE3NUJQbsWk60WgBW+EgvnCIWDU/1u5nUVOAg6kcSiHPygaRHyvMD1tPD/Uf+TDOQoaPjjyIu5Dh7+48hGHz1DoLVvxtHF1/LnpaQTpu0YqHCVlhsfdLqIpBRN5AJDfGJUcO8dTiSyjKXnLyEJgmexZ3snLfdg77z+Kur/0VXeeEKXt0hh4YwSqb4pYLgiDMdyC7YMGC2tdw3/ve9ygUCi/l+QivIkY6TSUaJeeTSOecWE4ZpWzg1EOU5ByuTIHWuEUm0IqmFygadnx6FMnoxBXwMTeaRs714mjsJpuv5sf6WVTv4YnZGO3FDKFQaL6HKJzBFJ+vtggssm4Nf3fy59imx/noXYcJNzTXGrRUAu30nns2trhCoN9GUdKxaynq7N+gXvHjKnfjKU1wQ+9+di6+iVFPAsOao7ncw45ujTVP7WTEVs+PHvkyyy5vY2AmT2qPaF8rCIIw74HsgQMHah21/vIv/5KGhgbe9773sXPnzpf0xIT5l+vvJ+dwMJZL489lKDp1rKJESHERdw0jWWUWzqRJhVoJl46D4sStJtGMBWj1QSrZFIVCkpyrg5yp0dQQwWFX2BVLcZbLJvJjhVdF3qz/tTfQ9r538VcTW8kfOswn7z7MkqXL6OruZs7ZztzmFWjTTurHnIwoDrpcB1Dkh+nUF2PL2JFLUW5KPE1/8xs5FOmnJCcJyFuIyzECgzFmDhynz9iNt8tL77YJKgnxj39BEIR5DWSXL1/O5z//+Vr7129961tMTU1x3nnnsWzZstrrs7OzL9kJCvObH2vURRiJzVGfjFHWbcSVII2o9GuD5J0aDdkMWa2NUuIERY+DjGoQMcNkbRpBdYi06SKWKpPXnSxqiXA4k0cqFlgeEbOxwquHc80aFn/yo/y5OsLQ40/z7784UOsIWFffwFGlC9uFTWjD9finVIb1AGt8PyEnnaTDfh56vIyVynKNvIvJwAWM+IcoO7LM1W2m8/hhJpytbPvJ96jfYGOqZDK7dUzUlhUEQXg1LPZSVZUbbriB2267jc985jP09/fzoQ99iJaWFt761rcyOTn5Up2nMA8yJ3vR25qYSpQIVNLV/sBYehAJk2Qujqnb0MpODM1BslxG0bOkJS8BPCRKJo7sbmxuD7FkiozDz8J6D7uSWZozSerq6sQ9FV5VtLo61n/qI7yt28bWB3dw/y+eqnX/crg8PKmtofUiJ8qJNpgpkXB62WD/MgU5Rb16PmbcwpuKcR4zHAqHKGmz6Dad4y3tbHriEcYblnDHfV+gdX0dJ47EKI2m53u4giAIp4U/KJDdvXs373//+2lsbKzNxFaD2Gow++ijj9Zma6+77rqX7kyFV5RlWbVGCFKjnZmkD0U3kUsGdi1IQcljy5SIZFUKzkZ0e4ay5MKlRcFoR7XbSUYLkDiMp76VVN4gYfPTXe9mVyxNUzpOOCzqxwqvPpKmcdUH3sGl67r41iPH6fvhnVy4eTNFU2Fb4CKWXOigcriFVMLCDBisk/8dTbUTyS4hFY+wRj7CmpSPR9oymFoGm30ZCQUWHd1PKq9xOH8PeYfGyMMjWIY138MVBEE4MwPZatC6YsWK2ureiYkJvvvd7zI8PMw//MM/0NnZyaZNm/iP//gP9u7d+9KfsfCKMBIJyskkKbdBLm9HsoFUkvCpPjLucRyFCt1zRTLBJnzZIeJBHxEpjq3cAz4vdq1ENpfCdNeTNlw0NgSZtAwoF+nxONF1XdxJ4VXrlrdfSvva5XzuSI7yd77P2gULGEuU6WvbwvLzm0js85LO27CFJumWfkjQ2YV/ws1gaiGvqXuchnQ9+xpSFJ1psv4LaTnRT8IW4MSuPTiW5+ibyJI9LFKwBEEQ5iWQ/epXv8qb3vQmRkZGuOuuu7jmmmuQ5eceqq2tjW984xt/8AkK8yNz8iR5t5vJXIZANk3FXs2P9dIi64zbBijpCs3pJDm9CWPyJAWPA+Q8fquZotNOSB8lVnSSKqnkdA+LG33sTGTpLOWpi4iyW8KrmyRJfObNG8gvXMYXS81Efn4P3bLCzikZq2cBdWcvYXyPHQONiGcPbvkxmt3nYB900m+2816eYsYlkXAVKHrzjEVWs/mJ+xhvW8rjO76JvcnBicfGMAuV+R6qIAjCmRfIPvTQQ/zN3/xNrWLBr38dXQ1uq6ozbm9729temrMUXnHxY8egsZ7RZIq6dAxD00iqPkJIjFSmKdp1HEUbpq5RKOVAzxNVdOrMAEkD3PndlBQ38UyFlN3Hgno3e1JZGlIxIiKQFU4BuqbwpTet5Uiok++3bWLhoYM0jo7yYLSFFT1OZhf3MHzUg+yosFh9gJLSR6u2luTJhcRa7bztxCBPtsQp2UtUfG1Uig4W9+0j5mqgn4eZSJeJbpuY72EKgiCceYFsd7Uszdzcb7wei8VqqQXCqS/XW13oFWQ6quOW8lAxcSg+SlKJUq6Aq6JS1uqw2XLEgn6cSpSsVYfDcpIrGkjxfXjDYaIFk7TNi+XVUAF7bFYEssIpo8nv4KPXLOUhM8jD59/MslQK787dPK6cxw0LZXYFI4zNBjF9Wc6WfkRFq9CdaeRY30W0rZnlnLEye5og704Sj1xA177jpN0Bjo6eRGrNcnznFJVofr6HKQiCcGYFstWZ1+eTyWSw2+1/6DkJ86x6f0vDI0gNOnMpP6rNRCmZeFQ/JccM9lyF5rhJNtCEMzvJbF2AJnMWe3khJZsNj88kk0yie4MkDC+hkI++UpnFsoHb5cLlcs33EAXh93bBojpuWNPMT6fg0A3vpUuWKf/sfsbrXsOmZTZ2puuI4qTiTbFc/g52ZyMLx3R2ZLZwvXIQQ5liyqOQ86WYCazjwsfvZKp9ObuHbiOOyVh14ddv+X+qIAiC8LtVJ8l+b7feeuuz+WMf+9jHcDqdz75nGAY7duyodcQRTm2VmVlK2SxZj0Gm4ETWLbKWizrZQdR3AMecRHsyQy7cgGv0EcrrWvFIKSqVLopuB2HnHDMFjbKpkVF9LGr2sCed44pChrBIKxBOQe/e3EXvdIYf9WZ499tvJfCNf2Hsu/ey5i0XsX3NffTu72R5zwnchTnC0p3o7hvJHKnQv7GdN+2N8o2FdoL5MGqwheBQP2uG93Ik0kVLfg8nT66jfiiFo9M338MUBEE4vWdk9+3bV9uqsweHDh169nl1O378OKtWreLb3/72y3e2wisidfIEBa+X8UwCTz6DadOZVX20ojLCBCVdJVDUkTSZtBnHUorEFAiZQTLIBMr7SZQdxAsKOZsPW9BR+0VzxOdEWoFwSnLqKn9xSQ92TeGHh+co3fJXyLrOkR/u5WZfD48vKzEa6yDrKdBCL5b6NB3aYmIHzya0aJrV0QIHG1XyngSTDVvoeXo/lsvLvvwxUmqavvuHsAxzvocpCIJwes/IPvbYY7Wf73jHO/jXf/1XvF7vy3VewjxKnDiB0lzHWCJHJG9iOhUqihuXZDFeSOJQbJi4sdnzjDWFcRJlTnGzoOJnVpZQ5p5Cc7qZKqkkfR4Sdom1TgexQ3OcvXatuLfCKWlBnYcb17Zw/+Epfngwxk233Er+K59l5oEsl2+U2eb3oypJWpw5erJPckRrZnm+lX2p87kyc5yveMtMeRahlLPMZtZwzWN3cNtFb6D3xINo+WtpPzCL96z6+R6mIAjC6Z8jW21LK4LY01duYBC9xcPMnAu3VEAumzgkJyUtg5mrEMxJ5LyNuHJR5up91JmzlM1WKpaDQJNGcm4Wj89N1PKjOx0MVCospIKiKPh84utT4dR1zcom2oJOWgIO7uwrkX/D25ktG3TtbUJxjzFa2cBkUEbVc3Qpt2PY7CwebKe/08Flk076QtMU7AaJcA/qFKyeOsnhFhcxa4Cjj4xiFkU5LkEQhJclkH3ta19LKpV69vHv2oRTVzVtpDw6CnUys0kful5BKqv4FA85zxjOPDSlKuSd9dhHBzGcHhqtKO7iYgqKStidIJZXkVSNpBWgrtWDiYUvnailFVTzqwXhVKXIEu85v4vpdJEVzT62xr3MXHIlE6ky1x6IcMBzkJR2NgNOlSBZwupt+Bxt2A+uossVpzsb50S4mmIQY7j5IlY99hiGp56Dyn6GYnFmnhTluARBEF6WQLY6k/arIKT6+Hdtwine0SudouAtkig4UTWLmOKjQbYx5xjBUVCpLyoomsW0NItimeTVEv5KI0VNJ0Av8bxKomIja/MhBe2s9jiJzYn8WOH0EHbbeMuGdo5OpljXGWS/1EX/OeeSSXm4cp/JITJkWiKcNN2EiWOpD9CtL2cw3cKlsQgl5SApu0Leb5BwLOOGx3/BSGc3M5X9HHpylEqyON9DFARBOP1yZKvpBM/3WDi9pPv7KblcjOcS6AU/2BRm8HIeCjuMGGVdxW54ULQsx1v96FaCaV2nsxKiYJexzW0jb9lJWQFSdg9lHa73OBifnWXJkiXzPTxBeEls6ApxeDzJTKrIirYQByvLkNZWWLOnTNPRk0SXnY+1ZBfT+70EnP3MqodYlN/AbHArqzM+dkSinF3yM9mwhsW9P2XByhl2tZn4R2YYemCYBTctFHdKEATh5cqRzefz5HK5Z58PDw/zxS9+kQcffPDFHE54lS30khqCTCQs6goJkBRMbHhki/FSEgmVshLGTpbZei9+K0rU8uKs+PHW2UhPDeDxOJixfGSdNgqyRKdkUKlUCAaD8z08QXjJ/NE57cymizT57HQ313HItoCjq9axdKKO2NCTmLbVTNaX0Apu3PI2KnoKz+xKNmYaiRRPMu5TyXnnGGm4gAvvu49cqI1+9RAH9w5TmMiIOyUIgvByBbLXXXcd3/3ud2uPE4kE69ev53Of+1zt9a9+9asv5pDCq0S2fwCtxcnkjBcfWZSyhau60EuPYeUNQmnIu+rQ4zNYLj/N1hSq2UHZ1AmFc8TzCnaHStwM4Gh0sczjIBONEgqFaou9BOF04dCVWr7szw9OcsXyBuobmtipdjC4Zgtrj6jMDhxHXRziZN7EZzhxqT/DbQ9QKfjZlFrGpHMfBd0iFXaSllq5etcvObTYy1xxjCN3nRRNEgRBEF6uQHbv3r1s3ry59vj222+noaGhNitbDW6/9KUvvZhDCq8SpepCr4hMNOHBppUpVisRyE5ynmFcOY2WnIxlk5kpR7GXJTxSEm9hEQVFIahPEMvJFE2VlOzDCtlZ63MxMzMj6scKp6UFdW5es6qJbzw5yB9f2IMz3MyTejtzqy+hedccxpgd40KN/hEHhuFE1u4krHaxJNtNZ6ZAb6RAwZlmpHkjTQd6aSzl2dc4zrHeMZJHo/M9PEEQhNMzkK2mFXg8ntrjajpBtVKBLMts2LChFtAKpyazUMCYm6PkLxEtutE0k1k1WGuEMK1P4yzIeA0nDi1Db0hCMXPMaRKBcpiiouIt7CORk4gqDSQcPjKaxBqPk9nZWRHICqetK5c30Ox38uNdo3zkNSvJO+p4OrCEYvdZGNsO4SpEiJ0nk5sIE7OgqP0SG/Vckr4ItbyduEMmE4gzGd7Etb94iIn2OmalUXbeeUg0SRAEQXg5AtkFCxZw1113MTo6ygMPPMBll11We7068ybqy566MgMDlDSVaTMNRRNZU4ipLlpkhVEjUXtPraYMKDmm6504zTjTih1vOYLdo1OZ3IuiaUzLEaY9dhZ6HTgqJTKZDOFweL6HJwgvi2o1l3dt7mQ0nmP3cIJPvv5shspeDnZeguSsp/zEYUKtCuMNedzRZlLSKCWtl45SDz2pBgaCfZTVMtP1DZRydi48tpcdS0uMTs8ytnVE3DVBEISXOpD92Mc+xoc+9CE6Ojo455xz2Lhx47Ozs2vWrHkxhxReBRLHT0C9j4mkSqj4zEIvw9TwKhYTpSSaKVPSIqhGDsvppd6aJY4fW8VLqMEilq7gdipETT9W2MG5IQ9zc3P4/X50XZ/v4QnCy8ZtU7llSzc/2z9Oumjy0RvWsidpp3f1zZTjFs7tcZznw3RyDiXbhSFvpaDGuS5/M750PxN+k5wnwVDLeax6dD9O3WA4MMvT9x2kki+LOycIgvBSBrKve93rGBkZYffu3dx///3Pvn7xxRfzhS984cUcUngVSPf3oTS7mZz1ETQzSGXwYKdim8EqWETSGobdRqqYxmk6aLEmsBldlEyNcDBKPKciqzwTyPr1Wv1YkR8rnCm6Iu5aJYOvbe2nMezjjy9ayLZ0kL61ryF7eIrQQIXo9V7KAzHGykuQtdvRZZkrEpeRUp6moBrEw2Vm/ct5zYOPsX+pymwhyeE7Ds/30ARBEE6vQLaqusCrOvtazY39lWr1gsWLF79U5ya8woojI0gRhbm4G7taIit7CMs2cu5hnHkb9UUdXU9w0lZANcqYcp5AfgF5SSYo9dVmZDNaPZMeP36XTqdDr+XH1tXViXspnBHO6wmzsTvElx/t46KzFvGaJQGellbRt3gNxcf76ZSSHLsgjG8IjhjtFLQ7WW9tpD0dYDg0S1nPM9SyFNdogbMmj3J4QZYDO/rJzWTne2iCIAinTyCbzWb56Ec/yrnnnlvLl+3q6nrOJpx6rEoFY3KKcnWhV86DphnMqn7aLIVxbQ5HQcJl+nFqOYbqJHQzzYRuI1iqR7Hr6NGnyZUlJrUOpr1O1gfctdqx8Xhc5McKZ5Sb1rXisav81+MDvO2KDayNwLa6Gxn1RNAeHqV70RxDkQqBmRaGrDJJ9XFuyt6Inusjaa+QDsQYbdrE+XfvIR4pMGvLsP07T8/3sARBEE7tzl7/27vf/W62bt3KW97yFhobG59tXSucunJjY5QNg6ieplBSUDWZpOSgWVbZaaQwFAWJMLo2R9FtI1BMMaXYWVkK42tUSMzO4rLLHLP8FP02ttR5a/mxLpertgnCmUKRJf74ggX8073HuPPgNH/8mnP5/O2/5JHud+LZ+680Pz3D9OVBCt8ZwHCsJ+17mLDazrWpy/hpcBvuwgomGgOEY61csuNJHlpzJZ6dc6w4PEXd8ob5Hp4gCMKpH8jed9993HPPPWzatOmlPyNhXiSOH8eKeJhMawRKKSRNxbAUfIrBRDlJuOyjrHnIS1O48dBgnOCQFEAtuwjV5Yj169j1MhNSGMWjs8LrpH90UJTdEs7YxV8fuKSHf7rnGGG3jT/avISfPN3HfQvfwOv2/jcLm4fYev0azrn9KCfsm3Hbf8rC8ps4K7+Ak94M9bLGUOs6Vu65m8ZlJxhrWsbW7z3Njf907XPSuQRBEM50L+r/iIFAQLQbPc2k+/pQmlxMzPkJmSmoSHgtO6ZtGjMvUZ+1o2lJhitlHGWNemkKW7m71vwg7Bkjnq5g2P2MuPwscttxKYqoHyuc0eo8dv784h7u3DdG3tXI5g43y5cv4ZHmCyg8OMfZzqM8vaGT9vEEOyqrKKu/4NzsEkKlJEWrwFxdmqnIWi6+ewe9XVkmc3mO3XdkvoclCIJw6geyn/rUp2oluKqNEYTTQ35oCKleYzbqwakUychewpKNrGsUZ95OuGzHbktxLFhEsQrENYP6bA9lWcZf2l8LZKP2LqZ9TjaGvRiGUUstEAu9hDO9ksF7z++udf7ydSxngS1F+yVXsl9ZiHrfHJ3LJxlwF2mba+IIPmzqHi7Ib6DiiGLKBQbbmrGlA6w++QTHFxo8/cBRygVRjksQBOEPCmQ/97nP1Roh1NfXs2LFCs4666znbMKpxbIsKuMTlAMlYlk3NvWZhV7tVBd6xWoLvWxWEN1WIu6u4LayTKg63kI9Xp9OfvJ4LU96UG4i67ZxSVOgtshLURTRIEM4461u9fO2czv45tNjNCxcTTsxuOpqRsf9hHeMEbvaTyl+BCW1kRl5GpfVy4biUkpqjowvQV/HuWx4YATDdZJZt8mTX3/8jL+mgiAIf1CO7PXXX/9iPia8ShVnZzFyWdJOmVTJhqpKpCQbTbLMbiOFJSlYcgTTlscpOQlZ00zIDlpLAYLNBrGMjNtu0mdrwK+rdLlsHP+f/FixEFAQYENXiELZ4Ed7xriisZV1ngRPbVmP85FtdDec5KnrzuLSnx/mpP1iNtjuwlNysdgWoK+SYbzRTvPMCjY9+ASPXtqNZ98sq0ajBFtD4tIKgnDGe1GB7Mc//vEz/sKdbgu9DL+TybwNdyWLYlcomwpB3WC8nKCpGEaSK0zL4DKdNJtjDEghqDiJhKLMTZsoDgfDDj/L3Y5a8FqtH1sNZAVBeMYFi+rIlwzuOzTJervBdZdcyQOTA0Tuj7Hg5l62r2hhy2COpxo2s17dRsm8gqxWYcrKcbxrKRv2DdAU/SWjzZfzwFe38oZ/vEH8Q1EQhDPei17+mkgk+PrXv86HP/xhYrFY7bW9e/cyPj7+go7zla98hc7OTux2O2vXruWJJ574rftOTk7ypje9iUWLFtVW7n7gAx943v3uuOMOli5dis1mq/288847X+Doziyp3upCLzfj0QDhShLLUPDyPwu9igrhgg2bbY7jeglbRcIlR3EUuymZChHnCWLJEjlXCzNuJ+c1+mqpCiKQFYTfdOWKRi5YXMeOXB0Hjvdzw/v+kpK3RO4+C7pzDErjrM300Ec7lvkYnVYD7opJPBxjoG0z5//8KIn6ccbLJQ4/fFRcYkEQzngvKpA9ePAgCxcu5DOf+Qyf/exna0FtVTVgrAa2v68f//jHtWD07/7u79i3bx+bN2/myiuvrLW/fT7FYrE2y1fdf9WqVc+7z/bt27n55ptrNW4PHDhQ+3nTTTexY8eOM/5m/za5wUGoLvSa9eBWCiQVL3VoZJyjOPIOAhUXNnuecXcGm1VkUpNoTi1Gt8kosX1kCyYnbAvI2zUuaQmSTqdrzRCCwaC45oLwa25Y08w5C+rYW2lh5/6jbPzzv6Y5NUBuB+y5sJnY3B78xQuxyTIT1uOslltRjRIDbQ4kbSErtt3LyQUm2+45QjFbEtdXEIQz2osKZG+99Vbe/va309vbW5tJ/ZVqEPr447//QoTPf/7zvOtd76o1WFiyZAlf/OIXaW1t5atf/erz7t/R0cG//uu/8ta3vhWfz/e8+1SPcemll9YC6mq73OrPiy++uPa68PzKo6MYwTLRjAu7UiGqBmhDYUyN48qDRh2y3cRSLPzkGNd0XMUI4aBCIpHFoZkcdLYTtmQaXDZmZmYIhUK1xV6CIDxXNfXmj85pY3VXA09lQgxOZ2l44+vY2L+d3EmTO89roy4RZ6RyId3SGIP6YVYZ9ZSdaY4uWM/y42WCuV1MhEwe/eaT4vIKgnBGe1GB7K5du3jf+973G683NzczNTX1ex2jVCqxZ88eLrvssue8Xn3+1FNP8WJVZ2R//ZiXX3757zxmdaY3lUo9ZztTVDIZzHicrCdNvORAUyWSaDQrEqNWCtlUQfKQcdtrjRDC5jRzshNb2U8omCOalXA4FUbsAZa7HLVjirQCQfh/B7Pv2NTJqgWt3DuqYDWdhbxmEVedeIB4UuUn9Vk25Ts5YazDYe2hpCdoK9qZqk8xXn8+5/3iCaJNMY4PzTJ+clpcbkEQzlgvKpCtzsI+X7B34sSJ33uBT7XGaLXWaLWE1/9Wff77BsPPp/rZF3rMT3/607UZ3l9t1VnhM0X8xAkMl8ZMxYZeKaPKMhVTJqIaTJZTuIo2bEqUAVXGWbbRYo1QkkKYFRth/1gtP9Zw1zPjcHJek792TBHICsLv18q2WmN2SXcb3z8Qp+u1H0Rz2Hn9+F0c8QbZWR5ibek8bOVWjtoepl3y4sGir6MOu9HGsqfvo7fT5KHvPI1RNsUlFwThjPSiAtnrrruOT37yk5TL5WdnF6p5rX/7t3/LjTfe+IKO9evlmaoLhf7Qkk0v9JjV9INkMvnsNjo6ypkieeIEUqOL0ViIsJHANDU8lh1Lry700giVHOj2OENKBs00KatZgumlKJKCT9pHPF2m172YiiRzYVuw1iQjk8kQDofne2iC8KqnKjJ/fsliOttb+dIvB1j2Z5/BO17gDbnb+e9WP2ahhFI8l3UFhUc997KyFKbiSXO450KWH5uiMX+YETXP7nsPzfdQBEEQTp1AtrrAqzrrVu3alM/n2bJlCwsWLMDj8fCP//iPv9cxqoFONYfy12dKq/mVvz6j+kI0NDS84GNWqxt4vd7nbGeK7MAgUr2tttDLR4646qMejZR9HEfejsf0oNpLxPQUHgxGNZmGdA8ep0xubgQsg+2eRQTLEo0+e+33otrCWNf1+R6aIJwSdFXmr69eSaSuni9sG2fBLR8lsjfBm10/4l8iJivNHqbKq1lemeG4fQ8dZTdzdUXG6i5i/QP3M92cYucTvSRmMvM9FEEQhFMjkK0Gek8++SQ//elP+ed//mf+9E//lHvvvZetW7ficrl+r2NUA51qua2HHnroOa9Xn5977rm8WBs3bvyNYz744IN/0DFPZ6VfLfRKubCrFWJqgHYkRrU4zhwo1FFxa9ix4bdSTGgazmKISLBCLFdthAAjzjBLHXZRP1YQXiS7pvD3r1+P6vTwX0MydVe9icgTc1za8gMeVvOsKZ2LVeghYd+PVokTUKG/ox3FaOSCrb+gr7nCg9/ZjmmIFANBEM4sLziQNU2Tb37zm1xzzTX82Z/9Gd/5zndqQe3ExETtK/wXWv2gWou2erxjx47xwQ9+sJaicMsttzz7lX+1QsH/tn///tpW/fq6OvtXfXz06P+tp/gXf/EXtcC1Whrs+PHjtZ8PP/zwb605eyYzy2XMmWnyvjSxogtdhZSp0qJIjFhpbGUN1aww6fHitFw0WiPEZTdq2UM4ECeWLGN6Q8zpdjY3PlNFQuTHCsKL49RVPv2mTaQrMnfZV+HrPIem7ROUlv8YQ3LhzK9jXTrAE4GHaSkoaJ4C+xZfTsPwKN3RHfSmohx+YlhcfkEQzigvKJCtBqrXXnttrVxWtfHBihUrWLZsGcPDw7VyXDfccMML+sOr9V6rZbGq+barV6+ule6qzuy2t7c/2wDh12vKrlmzprZVKx784Ac/qD2+6qqrnn2/OvP6ox/9iG9961usXLmSb3/727V6teecc84LOrczQbKvH1MxmVN0LNNAk2VKtYVeZWYqadwlG3Z9jhGrjKOsUs8kptEMpk7Y3UssVWTAvwSKFhu6Q7Wc6Xg8Ljp6CcKL5HPa+Oc/Oo+ReJFtq96Eq9zBgmPH2LnwaZbKSxgvreDCQpFdymPUGRpmQKK35RrWPv5LouFpnnzwEPGprLj+giCcMV5Qi9pqUFgNNh955BEuvPDC57z36KOPcv311/Pd7373N2ZRf5f3v//9te23/Xm/7veZ9X3d615X24TfLXHiONRXF3rVEakkMTQbHlPH0ucolzR8FSeaK8WECo2Gmzm9Qn1qGW5NRs4dJps32OVbhLcIHSEXszPTtdQSp9MpLr0gvEh1fjf/9MaN/NX3nsR1+a0svf1jtNfdRn9wGWui53CsGCfs2Uds9iAO73JmW9oIJHt4zYN3cefF7+SXdxzkNe9dj6qJOs6CIJz+XtCM7A9/+EM+8pGP/EYQW3XRRRfVqhZ8//vffynPT3gZpfv6kRtsTM958ZElpvppQCVtm6h19HJYQSSXSU7J45cMhlSJSLoDn9Mkns7h0AxOuprp0W211dfVRXW/b/k1QRB+u/aGEB+/4Sy2jiQZufZvcW/1YEU+i93uw1FcRk+6kRH/YeT8HA5ngWM9F2Bl82w4ei+HZ0c5tu2FtQoXBEE4IwLZamvaK6644re+X+3sVW0LK5waiiMjVIIGsaQLh1IhJvtol2BET+BNVzt6uUn7nLhwETJmGFd17KUg9aEcsYyJ5fWTVO2cW/d/82P/kIoTgiD8X8u6W/nQ5Yv4xXSFyYs/iOvhIrGGn7BcX0Z/eSUXl0r0mduxrCJBj4393dfReeIElnWQp7YeY3Y0LS6nIAinvRcUyMZisd8ZqFTfq+ZICq9+1UV7xsQ4RV+KaN6FXYMUCm2KxZCVxl5ScRgJJuxuHBUHLdYwOdmHXHES8U4QSxQYDy1Azhqc3ROiUqnUmlyIGVlBeOlsWr2E92xo4qd5L9Mr3gl7tlPyDnMuaxgwzmWFa4rZ+HbyahpXuIUj9eu55PGH6Ff7eOqek5SLhrgdgiCc1l5QIFvtxKWqvz2ttloXthrQCK9+2bExqBSI2W2UrWe6DJUqMnWqwWwlg7vswGaPMWLlcRgydiWGLb8Ah6TiVI/WGiEc8C3ClrNY3OIjGo3WSqpVawkLgvDSuWrzOl6/1Mud9oXM+i8nO/l9vE4HDfkW7MXl6L5RYrkTVGxpkt3rmbDVceGuuzg8dZzDj4+JWyEIwmntBS32qi60qlYnqDYQeD7FYvGlOi/hZRY7dgwiDsZT9QQrKQzdjtfUkLQYlaKG23ShuOeY1fIsLIcZ1SwaUwvxaRb5zFitEcIBXzc9SVutBmbf/zTI+EO7sgmC8FzV/6becMV5ZAqPcqd0Ma87Oo7Lfj+LPa/h8ews5+ijbC0fY9JWz0K1k74lF7P64F00D93HTjVMQ6ePxgXPtI8WBEE4o2dk3/a2t9WCFZ/P97xb9b0XUrFAmD/pvr5aR6+JqI8AGaJqgHoUkrbJ2kIvmxWg4papFokIWgUGVPBnWgm4y8TyJpbHS0Z2cHbYXTtedaFX9f4LgvDSq37b9Y7XbGFTo8SdS9/G2EQ/emWQFa7NHDTXscEWxUjsYFCZZYGjhYNdG2idHKU4fj87HhwgnymJ2yIIwmnpBc3IVmuzCqeH/NAwlSaD6KybkBJlUvawVjIZ1hP4UxIO0yLm8+OkTMQc47jqoK3ko745ztRckelQF2raYPXqYC3lpLrQ66yzzprvYQnCaauaunPLDReS/dFD3LHmT3j7oe/S1vh6RtSljJl52hx7OFHYxYDNTlv92RzORFk8cpBe7X72P+xjw3Vd4hsTQRBOOy+qRa1w6qsu9Cr5c8RyDhyKRcpUaFdNBknjKCq4rCijqgNn2UazNIJhtKBbOgHXALFkkROBnlogu2phqLbArzpjVJ2VFwTh5eNwOPjzGy+g3WvwvcU3kIzvYaMVpESYIM3U5ScYtvpJWmkcPecx4myhbfAJju94isH9c+LWCIJw2hGB7BkoNzcH6Tgpt0bOUFAUubbQK6IaxI0cLsOJ5owxYaVxopBVCvhznfgUGcp9ZAoW+wM9tFsaXqf+bFqByI8VhJef1+vl1tduJuRz8I2Gdox8jAushYxJbax0FAmlDnJMHsdf8ZBatJqEN4L72J3sfeAQydm8uEWCIJxWRCB7BooeO4bk1xnLNhAw01QUO25TRVFTlPIqDssHrhIJLY1fkhjSLerS3fh0k2QpTcXpJCN7WB0S+bGCMB/C4TAfun4DWqieH7jzuCtOVpbrOCmvZ5GcQq1sZ780xCKWMFHfStFvx3r6m+y5txejbIqbJgjCaUMEsmegVG8vNNgZjwVqC71iSohGJBL6FO6cG4dlo+Cxo1oaITNeW+jlzjYQdGeJpwrEgs1oaZMVbYFaPdpqfqxY6CUIr6ympib+6vpzmAnU8bg9SZe8lKZ0hpx9CZ2pOGn9APuMEZZ4NzPubiLnMUj8/L849tSEuFWCIJw2RCB7BsoPDj7T0SvqxCWXiUtOuiWDAVsSf9LEU84w4w7jMJw0W0OkCKBVnDR4p2r5sYOhLqykwepFIRKJRO2Yfr8o7yMIr7T2tlb++rUb2eZQGLTBatsWXNk89W4nrbNDzOm9DOQTtDdewHSgg7w1Tf+3/5vpoZS4WYIgnBZEIHsGqoyNUQ7kieacOBWLtKnSrhoMVxd6VTt6yXOMSipuQycgzyCXunDLMna5j7msxRF/F40lmaY6dy0/ttrNS5bFr5IgzIcFXZ381U2b+bkSI2drpFteTLpSR49WwlfYx7h2kmjapK7xbIZ6liBNPM2+r95JMS+a1wiCcOoT0ccZppBOQ3SarE8lZVTzYlWKFYioJslKHofpQnWlmFaSuGSFSd0ilGsloMrkjBkyipOMGmB58JkOXr8KZAVBmD+LF/XwnmtW8ktpCrtzM/VSiRnbQnrSOSr6HkalXgp5B+HAYnauOwt5xx3s+87WWpMbQRCEU5kIZM8wsaPHkNwKY8VGPFaesmL7n4VeWSp5HTtuTLdJXi4StCoMqAahdAd+zSBZSJEMRJCyCsvbArW/BKuBbH19/XwPSxDOeMvP2cCWVbbaNytB2zuJ6P1YgTqWTkbJOo4xlh+FYoCIr5Mn1y4j/aOvMbCt/4y/boIgnNpEIHuGSZ48UVvoNRYPEjLTtYVeTUBCn8adceEyKqQ8ITTLRsScZkRWcRZChN1x4sk8o8EOzLjBygUhkslkrRlCIBCY72EJggCc9bo30Fh/GKlamMD6IC5nlIBbpTtxjLyjj5FEFHelHnvjIo63Rej75D+QnE6LaycIwilLBLJnmPzAAJWwRTTqxiOXSOCkRy7Rr6fwpQx85QQTziDOioN2aZCS0YodlZB9mMk0DATaCRQkFrR7a7Ox1TJA1WYIgiDMP0mRWPNHt2L3PsTCso++ytspeDw0FiU81g5MZy8nZrI0VxqZWrOehFbmqT/+MIYhSnIJgnBqEoHsGaY0MvLMQq9MtaOXSdpSaFMrjEipZxZ6qVHGZHChYSlZ7Pl2/IpExRph1nRR0LwsCXiQFfnZRgiCILx6qBEPCy54D7Ljca7Ot7FL3kSmLsTCWYOivh/d3sfu2SJLio3suPgilOg4j/75x+f7tAVBEF4UEcieQcr5PMxNkvcppCoaiq5RKktEqpULSuVafqzkyRGT43glmRHNIpRvJijLJI0EaY+fct7F0mZ/LT9W1I8VhFcn5/rFNC5cjV3v522ZVRySezCDds6enSbt6CPICE/Giqwrt/DQZZeh7T/Ati98bb5PWxAE4QUTgewZJHr8OJIdxsuN2ClSkh04TQlVLWJmnTgshZLbRlmWCJt5+lUDf6aFoF4ikY4zFu6gnJBYuSBAJpOhWCwSCoXme1iCIDxPioHn8qsINEzhVzJcnz+HYWcjsqpyVuYwGfcwkeIUTyTyrFG72L7xfCo/uYeDP39IXEtBEE4pIpA9gyRPVBd66YwlIoSsDDE1RBsGUW0OT0bDU8kS89RjN2y0WMNMW35shoOQc4rRjMSUvxln1mTpgmAtraAaxKqqOt/DEgTheahBO87N7ydQ9wjtuFie38hMyIs9K9NW2UXFO447E2dHOk9L/QoGFq5k9v98ieM7TojrKQjCKUMEsmeQbH9/baHXbG2hV5EENnrkIgN6Em+6jL8SY9Tux2U4qJfHMctdeGQJTRpgsuymrLlY4POg21SRHysIpwD78gjygvfjCfyCFWY3gcp6ks3QGC2jcQC7Z4JCMs3hbB556WaygSb6P/Ihju0cFzVmBUE4JYhA9gxSri70ChaJZew4VYuModCmlRg309gqNmz2BFNSEaekktBM/LkWQrJMxpol5fJRKnpY0vRMK1qx0EsQXv0kScJzwRLkyJW43E+wsbiesnIuhYjBWclJ8uoADdVvXKIFeosF0huuxS55OPTpP+XotgkRzAqC8KonAtkzRKVYhJlRcl4biYqGrGkUytWOXjL5oowNO4anTErJEcSkTzMIZJsJKxLxQpSJUAu5hM6KrmfyY3O5XK30liAIr26KS8N1wfno4RAORx+XJzcyGlhFQZU5P3+QjH2SHts4R6MGR2WD9MbXEU4oPP3dj3HwsTEsU3T/EgTh1UsEsmeIeG8vqAZjlSZslCioTrwmKFIZI6/jMstkPBEsSabRnGVY0nEVAwRtKQZzFhlPGC0HqxaFmZ6ergWxmqbN97AEQfg92Dp8aCtuwlnXh13P8vq5TRxrC5PL6qwr76LgjLOMQQ5Om+zw6Rhn3UBbf5QD93+NfQ+NYIo6s4IgvEqJQPYMkTh+HKtOZzQeIWymiSoBFlFgSo/hSYG/nGTKXY+r4qBLGiZeacYpybjUASZLLizFTrfHhcujMzU1JdrSCsIpxrW+Eerfg7f+IRyKi9fOXUd/p4UaN2i29mO6c6wsHWfvNGyr9+FYfDWR3XuYvOdr7L67F6MsmiYIgvDqIwLZM0Smt49K2GA27sMnFUiaNhaqJfq1JJ5sGS9RRjQHLkvHUrNo+XZCkkyRKRI2D/myn2XNwVrOXHVGtr6+fr6HJAjCCyCpMp6LF2I434I3fCdBK8TZ+XcxV1+iIz6LKvUi+y1WpvexNa6wqz5CYMHVlI5tp3L759j9zccplwxxzQVBeFURgewZojTUTzlSZi6jYdckchWZVrXCjJFDt+zI7gxRJYVPgmEdwrlGIorMbDnKbLCBWNLD6gVBkskk5XJZ5McKwilI8eo4LzgbnJfgDN/H0kIA3fZ2sg6TjemjlJRxHAGd5bF9/Khi52QwQqTzBo7nBtEe+hb7P/YfFDOF+R6GIAjCs0Qge6Z09JoeI+3xkK6ooOu1rwn9skY+r2NDpuBxk5crhI0MvYqBP19PUC3TVzQw3B70kszyRcHabGy1La2iKPM9LEEQXmS+rLrmCuyuRvTgU1yWbmQ0fAVpU+PS3JOUtDg+v8SKmaP8qz1A0uamqeVaHgpk0KKDHP7Tj5MdmRTXXhCEVwURyJ4BoseOgd1kpNSMhxxp1UODZVKS88g5Fa+RI+6uRzN1OqVRZowIdkvFo44yVbCDbKfL48LpsYn8WEE4DTjPqqfS/mY87iSa9yA3ptbS27ycaM7JlvyjmHqJBk+axbFh/slfh7Mo0xa6hJ+EEyht7Zz8wEdJPPH0fA9DEARBBLJngsSRI5gNGqOJumc6esk+lkh5hvQYvlSFQCnGsCuEv+LAp8YoFlrwSzIVa5SE7iZTCbC8OYhpmrX6sSI/VhBObZJcrS/bSTHwdgK+o7jsh7g2cy1z9c1kMgqrClvBrtCpDlBXTvJFp5eOuTLNjrP5b88QytU3MfCFbzD1X9/GLJXmeziCIJzBxIzsGSBz8iSVujIzMTdepUTK1FmgFhlUUziKFZxqnAm1jFtSmKzmx+ZbiMgyY1aCRCDMdDLA6p4gsVisVmA9EAjM95AEQfgDyTYV9+XrKOg3EozsJ6Qe4RzjzZT9Aey5DM3F/chOL8szT5P369xeLrB8okyTuZhvlXaiv+sDjGw7wdjf/wPlqSlxPwRBmBcikD0DVEb6KAUlYjkF1a5RKEGDKpEryejoVLyQkQuErCJ9cplArp56GQaLZVSXE5ulsXjBM/mx1dlYWRa/NoJwOlD9NpxXv4aSuY5g0xHq5V7atfdQ0T10FAZxVobA38z66Qc53NXFvqk+lk6aNGQb+dbMA7jf/X5GC/WMf/KfyB88ON/DEQThDCQiktNcvjqLmpgl5qynZMlUVDuaUcEh6RRzKi6rRMYTwpIUWqwJpkwfDsOGR4kyU1QxJDsdbg8un8iPFYTTkdbgQrvsvZhZD+GW4wSVUUKe91GwXKwt7kQxYxihbjZM3sNTi9Yyd/QJOuJ2InNuvjlwO+E33MhQ/flMfeU/Sd5zj2hrKwjCK0oEsqe5ueosSUBhKNNIwMoSV/10UySqJrGnLIKlGFPuCL6ygxZlinSpFbcEZWuAhM1NqhxiVWuQSqXC7OwsDQ0N8z0kQRBeYrYFIazzPoCcTNDecBC3Eifgu4VM0c3m4v3IVoFSuIsFyV+yr3Mt5Z33EilGiEyp/Nfx79N09Wb6e15L/JEniP7Hf2IWRIkuQRBeGSKQPc0ljx/HqJMYi4cJkCNmOVkuZRnUq40Q8vgrsww63HhQiengLjTRIKkMSUnyfj8T6TDrFoVqi7wcDgcej2e+hyQIwsvAsXYhxvL3oWZnWRTahqTnCPneQTzr4/zS3ejVUn6RJnTtGLP+NrK7HsRtdROehC8d+DZtFy3lRNeNZGdTTH/mM5SnZ8R9EgThZScC2dNcru8kpUiJ2YQNpw75sky7ViZuGGiWjOStkJKLhKwSfbpJMFdPoywzXC6hO3R8kk5Xd4CJiQkaGxtri70EQTj9VP/bdlx6CZWGy9Ex6PE9RNEhUed5A/GUh7Mr9+Kw7Bh+P9FwlnAxz9Dhnbil5bRFLT69/T/pOL+FY5HLqDR0MfOZz1Colv4TBEF4GYlA9jRWLZdljvWR87qJFSVkm0alXCEgO8gVFBxWhbQnSEEyaDGnGDGdOCsOvFKSWEmigpNFAR8Ot87k5CRNTU3zPSRBEF7mslyO170XS6snaK+jwf1z8m4X9a6ryMcUlpi/xImHYtDGaIODzaP7eGJsEJd5Fouz8LFHv0zbuSGOSKsxz7uSua9+jfSjj4m8WUEQXjYikD2NpUZHkYsZRuUWbFTIaG4arDIVLMy0SaCSZNrTgMew06TMkKnlx0pkGSJpdxMthDirK0wmk6lt1Y5egiCc3iRdRb/575CLcyzwL0Py/Iy8v5mI/Xy0aJYmDuCQ/MSb3EwHPbzp8L3ckYzhLm9gbUXhIw99jrr1Okfm6ild+RZS999H/Ps/wKpU5ntogiCchkQgexqLHjiAGVEYTDYStlJE8bJayjBoj+PO5AgWZxh0BfGaMhmHhJ6vox6FASmJ6XEyW6xnzaJQbTY2Eomg69UsOUEQTneyP4R6/d+iJI9wXmgtU547KIWWEVLPJjI7hl8eQVd8jCxsoKhZvPfAHfygnMVd2MRm080nH/0CnpUZ+iYcpC5+J6XhIWb/9UsY6fR8D00QhNPMvAeyX/nKV+js7MRut7N27VqeeOKJ37n/1q1ba/tV9+/q6uJrX/vac97/9re/Xcv1+vWtcAauok0eOUK5wWAy5sOrlMlUNBaqRSbkIlqlhM1RJKblCVKhT3umfmyTJDFWKWOza9SrDurbvLVAtpofKwjCmUNuW4W6+Q3I8T5eG1zDQe+PKdStJ6SsoGP6MA4pgaV7Obl8CZ7sHO86dBfflorYc5vYUmng809/lWTDEaZmYWLVTUguF9P//M+Uxsbne2iCIJxG5jWQ/fGPf8wHPvAB/u7v/o59+/axefNmrrzySkZGRp53/8HBQa666qraftX9P/KRj/Dnf/7n3HHHHc/Zz+t9Jvj631s18D3TlPqOUIyoxLISul2vtZIMyrZafqzNssj4A+TkZ/Jjh00n7ooTl5UhXoYiHlbUB5EVmJqaEoGsIJyB5LNej764CyVT5K2eBWwPfJ9c+DxCcg89MzuxUyTrttG7/GzaJ07y5hP38C1HBTV7Dlvyi/np4I/Zmf0Z2bxJX91F2Nadw8xnP0v+wIH5HpogCKeJeQ1kP//5z/Oud72Ld7/73SxZsoQvfvGLtLa28tWvfvV596/Ovra1tdX2q+5f/dw73/lOPvvZzz5nv+oMbLXe6f/ezjT5eAIpOsmMq4mKCUXdjssyUCSdUhb8ZoZZdx1ew0adOkeu1IJLgglljJzbw2i2kXU9YaLRKIqiiLa0gnAmkmXkLX+BPTyL3VrMO/QWHo18n3z4QkJmOwtnduA0FSbqVIYXr2dF7z5u6r2Xb/tMrNwazk1u4ojxJD/t/yZlK8mh3EKcN76B6De/Req++8QiMEEQTt1AtlQqsWfPHi677LLnvF59/tRTTz3vZ7Zv3/4b+19++eXs3r2bcrn87GvVhUnt7e20tLRwzTXX1GZvf5disUgqlXrOdqqb2bsH/DK9qVYiZJhTAqwgz7gtiTOVJ5KbYtATxGso5Oxgy9URsRSGrSQOl0LRjLCoJ/hsWoEouyUIZyiHH3nLB3Dbf4lPv5Y/MgPcW/8DSnXVYLaeBdFduCp2jnTpzHUuY92xXVzbdw/fa6xQzC1hw9wVzHiP8/2TPyBR2c+uEy7kN7yPzBNPMvfVr2JksvM9QkEQTmHzFsjOzc1hGAb19fXPeb36vPpV9vOpvv58+1e7TlWPV7V48eJanuzdd9/ND3/4w1pKwaZNm+jt7f2t5/LpT38an8/37FadFT7VxQ8dotJoMRIL41OKZMsqi+UcY0oJvZTGoeeYtpmEpGp+rIEvW0+rZDFbLiGpNjodLgL1TsbHx0XZLUE40zUsR15zIz7XL2jx3cJNRTt3Nf0QI7iFSNlLe/QAnqKHnSt85OtbOf/YTi48+TA/7SiQLHaxZfpa4u4R7pnazlDqJ+zdmyJ9+bvAgulP/xPFgcH5HqEgCKeoeV/s9eszfZZl/c7Zv+fb/3+/vmHDBt785jezatWqWi7tbbfdxsKFC/m3f/u333rMD3/4wySTyWe30dFRTnXF3sMU6yTiKQndoVanwKlTZfLV/FgM8j4/Rcmg1ZhgwvDgsDQkK0tWUomXgpzdESGXz9Wuh6gfKwgCy16L3NhFIPgIi/x/w+syNn7S9kOkwPm0l2w0xk/iyoV4cmOEiifEtb2Ps77/Se7vTjNtRrh85kbithn2m3Psm/suh3ftZaD1chybzmf2i18k/cgjItVAEIRTJ5ANh8O13Mtfn32ttkL99VnXX6nmuj7f/qqqEgqFnvczsixz9tln/84ZWZvNVlsg9r+3U1k5n4eJIeKuOrKGhKHbqt0RsEtuStX6sUaaWU8Er6ETVmPkS224sRhQp5E9GuPlDtYtidRmY6u1Y0XZLUEQqE4WbPxTFDlNoOMIS7wf5nUZFz/o+iGGfyOLChBKDWGLt/HEBSGKso+3DDzA0rEDPNGSYEKDa2ZvZlbOMuGAx7NPcXjfj9g55sXxtveRfvgRol/7GmZWpBoIgnAKBLLV4KhaRuuhhx56zuvV5+eee+7zfmbjxo2/sf+DDz7IunXr0DTteT9TnbHdv3//GbXqfqa6Ithh0Ftowy8VicpellsZZvUiaiZFXW6CAV89PlMi4dSw5SI0WiqTRgqHrhJSvDR1+WuBbHNz83wPRxCEVwvNAed/CDX2FOHVGRbqt3JjysuPen5Ixb2WlZkKvtwY0twytl3oI5EL8p7RO2nLDrPXF2PKOcH10RuZky1SmswTcoETgz/i4Xv2kH/Nu7EMk6l/+EcKR4/O90gFQThFzGtqwa233srXv/51vvnNb3Ls2DE++MEP1kpv3XLLLc9+5f/Wt7712f2rrw8PD9c+V92/+rlvfOMbfOhDH3p2n0984hM88MADDAwM1ALYalWE6s9fHfNMEDt4EKPRYiDRRFDJV7MKWKFkmJBLaKVqsGowbYd6K8cJzcSdC9JiWSRLJYo4WVUfRtas2my3CGQFQXgObxOc+2foI9+ncUuILvPPeV2qgZ8s+RFF92LWJit4ilMYM+vZeaGP1JSfd079CL8jw3EtTlLdy+sSV5FVVEpKgR32MCeNvfzyp9/nsG81josuZe4//4vY97+PeQbW/xYE4RQKZG+++eZaKa1PfvKTrF69mscff5x77723VnGgqrpi/n/XlK02Tqi+/8tf/rK2/6c+9Sm+9KUvceONNz67TyKR4L3vfW+tPFe1wkF1VrF63PXr13OmyJ04QLFOYSYpY7crGMUKdYpGNm/hoEzaH6IiGbRZY0yVwziRmVSTVOwa46VmNiypq117j8dT2wRBEJ6j+SxYej324f+k5YpuWovv5cZ0J3csu4OsK8LauIWrMktxaj3bz63DOOHij/rvotLi4qQ9RyH7AG9IbcROiLwW54TVxB53geP7f8b92/qw3nQLlZlZpj7xSXL79oncWUEQfivJ+tVqKeFZ1fJb1eoF1YVOp1q+bLUSxO43XsXo+UH+48RmlgYzTGTd3GqzeDQdpXNuD9nmML2hIFu0ozxiLWdhtIOiPETemeWEeSVfeN+FHO3bj9PprP2DQRAE4TdU/+p48vNUC1PPet7E9P29pDw/5nbXYS48sA5X3sWukEnJ8GD6T3Lxvl7muiJ8/9xrWXLyMItHMrgC17DNHuWIdhx/roOEBZdKUdwpiUUbLmJVs0767rvQOzvwv/71aHV14kYIwhkg9QLisHmvWiC8tGYPHkSiwJFiFyErTV6ycRZppmwlpFycSHaaPm8An2kw7ZCxZQM0mzLxYgZF1unxBvCEbExMTNTq8AqCIPzWxV8b/gSKaSLWI7jPa8KbvJm3F9ex66wDRF0TrIva0JUs6lwH9y1fTnhohmufvp99CzYwslihMPffnJdzsiW3lpS3l4hkcofRxRGPxLHdD/OLh/dh/dH7UPx+pj/1D8R/fBtGOi1uiCAIzxKB7GlmdudOyi3Qn2wgqJUoFywWqwUmqObHJlGdGjG7SbMZ4wQSzrwfUyljyBITpUY2Lmyo1eStljP7bZUgBEEQajQ7bPlbmNhHe/0g6toAytx1vLW0hrH1UcY9h1g7p6HZDDxzAe5btIrWgSlev+vHPF53Of1r6jEK32JJLslrEheQ8wyyXBtjn9nJ7VojcZLc982vs68cIPiXf4URizL50Y/VuoJVW24LgiCIQPY0kzu8i2KjRjQJDodErizhV1wUchIuiiQCIWyWRUiOUip14pDLDMkxXC6TqNLDksWhWl5ydTZWdPMSBOH/yRWCLX+DdOROFq2oYC5xUpy+hpvKC1DO99MX3s5ZsxKqx4l3zsmjPQup60vz1t3fYpvvIva1bMTwfY/G7DFujF1AWi+xznkIpyzztVIXB+xeBo88ze1f+wGpDZcRfv8fkz9wkKmPfozMk9uwKhVxkwThDCYC2dNIIZ1GGh9kyt2GYUooOuiSglINZNMFIsUZhn0N+A2VvAvs+RAhq5pWEEVTVTptAYJNzlpDiF8tuBMEQfh/CnbCeR9A2vEfLN8SoNSmER+9mkvTHhZetpGd7Y+xYjqH7o/gnnWxs7MF+6DBu7d+g30tC9gtvZ5s6BHc5mO8MbmKQrGD5YHdbJZ7eZwu/ttsYU4p8fDXv8pjD+/H/f4/w3/T60k/9BCTf//3ZLaJgFYQzlQikD2NTO3YgeU12Jfppk5KU6ionC2lGNdKSIVpQsUUg143ESvPoGahp4O4JaiYFWYrEc7raSQWj9ZWCFcbIQiCIPzemtbA+vcgPfE5Vl7djlGvMzV6Dcsmo9x03S1sX/oEC6emcYY7cCQDHG5uwErCLXd9j5MdNna7XkvUGMFw/ZirC34c0Qvxewa50fU0smHxreJCHtfqGerfx4///rP0Z2zU/3//H75rXkP6gQeZ+sQnyG7fjmUY4qYJwhlEBLKnkdjupym3mAzGfIQcJXJ5hQ6tTLIE9koay+Oiohi0m+NMGfXoWEwqWVwui6iyiGXL6mppBW1tbbWOaIIgCC9I5/mw8maUJz7D8psWIQfsTI68BteRJ/ng1R/h8MbjtI4fwR1sw1Zu5pinmZzD4pYf30ZOT7Jz6RZmpz2kHN9jpTTHgvhVJA2N19ZtZ6NxlCNyM98xF3PUNHjyR//BXV/4McW2JTR8/GN4r76a1L33MfX3IqAVhDOJiFZOI6UT+8iEAmSyJl57iajkwKv4yKcrBMwUk9VuXoaC4TCxFZrwYxEtz2HXoMVWR7jNVUsrqAaygiAIL8riq6DnMpStn2bJGxdj87iZGLmO2f1385fn/QnJ61W8M0/j8fjw2FfSJ3XS2+zkTb+4l7beXnae18Ncfjmp3N34nDs5v7ie/sRqNgaO8FrPU/jNLI9Ii7nLtoSjQzu4/dOfZucvDqCtXkfD338c71VXPhPQfuKTZJ/eIWZoBeE0JwLZ00RiZAQ5McNJtRMdk4Kh002GsuImm5+iMTNFb7CBgFlizKXW0go8koJZypAwAmxe1EI09ky1gkgkMt/DEQThVLbyJmjfiPLEP7HozUvwekLER65n38Gf8daOC2h7+9lY+cfQtBTh4CZixlK2tTVzzvH9XHnvExxe5mW6fgOluT3kbT/lEiXERPp6PMUUr697lHOkk2QkNz+zb+AxfDx+95f58af+g/4Ds9jXn/NMQHvlFaTu+QVTn/zUMwGtac73VREE4WUgAtnTxNT27RgNFnsTXSzQZ8kUdNYpaaatEnpxFpumEXNDmzXNgOlGK+nMyfln0grUxSxZFhFpBYIgvHQ1Zte8BVrORn7yH+j+owVE3A1YIzfws95H2ChrXPGed5O1PYZROk5TcDWo63ki1E1JKvHWH/8CqTzD8PLV5ApFEvn/ptM1QcS8luHYci4LPMXV0uMsYIo+rY07fJewbXaEe772UX7+5fuYHEzj3LCBho9/HM9ll5L8xc+fmaHdsVMEtIJwmhGB7GkivX8bxQadqYRKgz1L1HIQUD2ksgYeM0c0UIfbAEsv4yy24JQqREvTuDWDensLoRZRrUAQhJc4mF379toiMPmJf6D15jaa3K20Dd/MV8f24x3fxS3v/z8UmnaTy2wj6HTh81zCCecSdjS0sXLfEdY8sY/EAj9T4Q7U2duJex7gLH0JJ5M306lNc4X9Ma4p7KSOJDu867jLtYmn993NnV/6NI99fx+JuSLuTZto/Pu/fyagvftnTH3yk+R27RIBrSCcJkQgexooFwqY/UcZdrdilQwK2HHLJjY1RCIXoyE/TW+oEZ9pMeW2sGcC6LKCUs4xZTawZXE7M7PTqKpKOBye7+EIgnA6BbPr3gVtG1Ce+hSNr4vQ5G/h0rF38JX4LEee/hJ/+pYv4F+bJF94AlkaodVzPnn3Rp4OL2DScrLp7gN0lMaZWLwSd+oYQ9Y3qXfnKfN24rluNob3cWFqO9fk9yDLFvfXXc69VitPPfxlfvLFr7Hj7pOkE+VnAtpPfALPJZeSuOsupj71KRHQCsJpQLKqtZaEF93j99Vg+NFHmfrmx/nGsmuon5siLQdZLhu4nfUMjuznnNhhfrphPeeUZtkbkQkMb0BVM9gYZNhxMR9546WcGNlPIBBg5cqV8z0cQRBON9W/Zg7dDr0PYGz4a2IPFMnGUtzV/FNs5kHeuPYv6Jsd5tGf/wJHYREefQ1RUyJdOogvPUpHaoYGe4aRs+sZytmpmxtisn4TS1JbGC/N0ab+lERBI51u5aS3id16N1nJRk+6l/WlASJtG1m+fguLz2nCHbDVmihUS3Wl7rsf2eUi8MY3YuvqnO+rJAjCi4jDxIzsaWD2yYcpdUiMx5y0ONMkTRt1qo1UXsJVSZD2B3CbFoqWw5VvxyYVyeSnURWTRZ5m3GGVyclJurq65nsogiCcrjOzK18Py25A2faPhC4s424IcNP4zXTYbuZTu/6FZGGYt/35p8i3HCeT/yVOa4x2x3rygS0crV/AXqWN0KNRNk+PUmnroCG5k332r2J4KpR4H4q0hJ6WA/Qkh3hrajfnlPsZ8ffww8BFbJ0YYtsvvszP/uMeDjwySj5n4t68mca//zjOs9Yw+8UvEvvudzHS6fm+UoIgvEBiRvYUn5GtlErseetrGNoY5hcDi1nljLG30sF7HG52JmbonH2IsZYeyn4Hqn+IXOx89KJMPt9H0dfKmy9+M/gTTE9Pc9FFF833cARBON0NbYMdX8Nc/U6SR1soDibJdha5rfQ5qolRr13/IZ7e9XNiOwawlTpx6StJSjrp0iDOdC/+fIwlxWmKK+0ctIWxJcc4GlrD2fHLcJQzBNSfMlMpk55bTsEns8vRzlG5Ca2QZk22l+VemYaGjfSsXkr3WXW1GdpKNEriJ7dTPHkC77XX4j7/fCRRS1sQ5o2YkT2DTO7YgaRk2Vpcztn2QcZLQTbKCeJIlPNDhHN5JgMOWqwZBpUAVk4nJ+XwOyugLqNtaYiBgQExGysIwiujYxNc8LfIB7+Lv30XjuUh3KMO3lP5FFvcF/LNJz+OGdY4+93vZbL1GMXCL7GVTtBh76ES3MJUcAk7PT3MHbSx6fgwDYEQS9MDHHB9iV2eOBnrHQTMc1nYvRtnaYLzUnO8trSXFo/M7sBKfmR08uDALrZtvY2Hv7uTvQ8Mk7OchG95H8F3vovMI48y/el/pjQ0JH4jBOEUIFILTnHTjz9AoUNmZk4npBSIYadFlUgVTLzlODlvEJdlkreZBLJtKIpBJTOFIcls6uwgV0pSLBZpaWmZ76EIgnCmqF8Gl/8j0vhOvNptuM4JY6YqLB6/nL9t+j/Yp3v52aEvs/bKNxG9OEjKuZ9MZishK0ajZzXZ4LkMhBfytNmD/aksa2cTLNPr6Cr+lJ/U/Yzd9g7Kqfex0h+kqXErDdkU56eHuJhBfH4XR11d3JYJc3f/dnbuu5+tPz7M7nsHKUY6afjYR3GsXsXM5z5P/LbbMAuF+b5agiD8DiK14BROLTAqFXa/9Wp614Y4OR5CVR2cpJ532v3siU/ROfMgQ61L0fwS0cgctolzqRgG9vIQcc9S/uz1b2AkdhxN01i3bt18D0cQhDNNKQvb/hWysxRa/5j0nlItnVZ2yyQdD3NH8mfEfC10Nmxk966fc/ZhJ0W5FY9tIVHZRiY/gz1zEl8xwaLsOPRo7GnsIpaf4Aib2JJawNlWEZd3G33GKNHMeuKSg0FXIwOGG71YpFCxaCbOee31tOiLCTX7WLC2Dq+aJf6971OZmyPwpjfiWLFivq+WIJwxUi8gDlNfsbMSXnKTO3eCleKx0gVcoT/NtvJaNinVr9YilHMDBIsm+0Iyi4woA2YD4YJO3hqlwZ5HdS4i0GLnyf0jXHbZZeLuCILwytNdsOVv4NBPsJ/4B5TV7yTd34RVMfHEL+a93g30p77Fnbmf07hoEcdaCqgnj7HkxBx2ZyuNji4GHH5m0mOkNA+NI3E2DR9mZkkdqn+WvY5+Ho+dw/XJc1mh5umK7GbQmsObX05DsZ4j7kbkYhnLCHD7cJGQvJ3zKiHmxnsINnjpft278Y4eIvatb2FbsoTATTeh+HziN0UQXkXEjOwpPCO7558/Siq+lfs4m2WVaR6SV/M6m0EsHyAffYCwYtHX1YLLOUPBWk1h1oFc6KPir+N1F7wdOZSsLfK6+OKL53sogiCc6Sb2wVNfxqw/m0zxUsozJZSQA2M6g6IPsLfwQ37hyaP6OpiaHWJ5n53ImI+KpwWn0sjJSho9NYq9mKArO0O7Os6RFQvZ5l/EYArqEhGuNQ0WazIF/0FGXbNMJjs5kV3BCcVBm2bgLCqczBdxKEU2NgdYYu/BH/LQ2WPHtusBiseO4rvhtbjO21Rr5y0IwvzHYSKQ/QMv4Hwp5XLse8e17FzTSmtikt3ltSRUH6/VG9iW6GXFxOMcXLyMOnuZw/UpWobPJ2nEaFWmmPNcxV+8+wIe3no/GzdupKmpab6HIwiCALkYPP0VrOQkxcZ3k+23ozU4QZUpD8xhVo7wtPQo9wUTSLYAudgUGw4HsKfCVDwNWKaH4UoUR2oSu2mxMDNFizbE1tXn8IBvDbFpk+XJBFfpFRbIfgqek4xHRphKtLItfQ4zZZnzIjqlKBzOpykrJmfXe1jt6sLv8dLhjqI9fQ9aOEzgj96E1tAg7pogvAxEasEZYPC+ezBdOabyPhpKCdKyzllSnjlTQs8O45RkTBcopAnnlpAzDdT8LBmvg0tXLGY2MYnNZqOxsXG+hyIIgvAMZxAu/Duk3gex7/8CWvuFZLObqcxWcKxvxSo3sWl/D2tGj/OUbQcPR2xsX1/Cmepl4/4YWG20O7yUfB1MVmIclMr00c2inWNsdnyde1Zv5mehDeybzXN2rpcLci4WDlxKo32Straf0Ztt4JHYOhQJrlxQT2KqzP7JOZ6SDrHUr3J2oJP67ptoT+6j8Kl/xHfVFXgvuwxJ08QdFIR5ImZkT9EZ2R3vfyNTzQlIm5zML2aPrY236x56swVc0fswPGGyjV4mA7OEoucSLxaoK08S92/k1ndfy5M7H2XJkiV0d3fP91AEQRB+U2oSdv0XVnKCUvNbyY2FazOzzjV1mMUKxV0nSEz0s8t2gIdC/WSUCvWZCucebKGsdJFUDQq5AkkjgVbM4ZGa6U6NUuc8zu1LtvBzdSP2YpaVxmHOkVOszncjKUXi4X52Si52xJcSUgyubFlMYrTIvsw4QwY0OGTW+OtYVlZpG92KN6ARevObsC9aJO6iILxERGrBK3gB58PskSMMfvzdbDtrGd0z4zyprMOnapytLeSp2ONsHDvI3rXLCCt5DgSCREYWUSqepMVVonvNH7NsY4AdO3Zw3XXXoSjKfA9HEATht7e2HXoC9n4Xy9tBwXcjuX4JxavjWBFG0mWKe44ye6yfg9JJHgseZdaWoSNdZsux5WTUNsbkBEYmRcZIY5kSQauL1vQ4Edcxbmtbz8PqemSHSafWy1nlCc5N1eM2XaTUEZ5waRwoNtPmyHJBYxflsXoOp4c4ms9TUW0sdehsnovRHT2Cf+1y6t9yM2okIu6mIPyBRCD7Cl7A+bD3nz5MPPEkRc1Of7SDXd6FXK0aVEr1xKN301g2GV7UTMKfwptbTiwOEWOamG8Ff/H217P36PZaXuzy5cvneyiCIAi/X5muwz+F3gewWs+noF9Kvr+EZFewLw6iN7spHuljbNcBBjKTPOrfw7hzhrUJlbNHtjCNnUF5DiufoVTOUZFUgpU26rM5gvZjPNDYyUPq2cg+Gac/w5p8H+ckNRbkA2SMcXapOk/rQZYExzirLoJ9djlDiRwHU7OMVHSaMLh4coCl2Rkil1xA8x9dj+oX1Q0E4cUSgexpHMgWMxn2vfMaxpa6UWNldqtnkdLc3KB3sT15iBWj2zi5dAFuh8mueo2u3rXki8dpdpu0LHk7q7aE2blzJ9dee22tfqwgCMIpIz0FB34E47uxOi+i6LiEwmAZI13C1uVD7/BilrIMbdvG2OgUj7l2MmYb4Nx0Gytnz2OonKZPiqMYRSjmKErgL4UJFzw4tF72Rnw8qq5EccnkWr10lCfYFEuwJu3CMuYYttLskP14InHWNmUJVpaSjtdzPJrleDxDpSCxeeIECwtJwhdewpK3XoejPjjfV00QTjkikH0FL+Ar7dj3v0n0kf/AbFI5OL6YQ3VdbJLBaXQwPHs3i3JJTqxoJ+3IEpLWMD1RJiTNkgqs5v1vuY4dBx5n4cKFtU0QBOGUFB+Gw7fD+F6s9s1U6i+jOGOnNJQCWaoFtFqji7GBo4wdPMqeyiHG9IOcnV5DW66L45UZBs0y9nIBuVLBwMRdUvBlW9H0KfqDJk/ZupFlmVhTA6ZH4YLYOOuSZYKlEimpjyEzT1lTaeiI0+B2I+UXks37ODhaIDaRpHN6itZMjOzCNTReczXrtywl4LbN95UThFOCCGRfwQv4Sirn8+x6zw0UWtJMxCMM2hcw4qjjjUor23O9LBjbynRnG5pXZVfIYOHQerL56myszrJz3kHDUpXjx49z1VVXidxYQRBOfckxOPaLZ/Jo65djdV9CWV5EcThNaTiFpCvoLW4KconhvsOcmN7DFMdZkF2BXVbpl+boyznxpROo/1MX1lYu48k0gKIQ90fZ7Q6jWBDzNjPW0EJPMc1F0Vl68hWiyhBp+QTFYpqQouNpyaK7/WgsIZu2M3wogWNolnAyyai/jdiStbScv5FlCyJ0R9zUe22iHq0gPA8RyJ6mgezR7/4nyUf/C6tJZv/wUo61drBKshE0O+iL/oxl8Tn6Vncy4ywSNpYyO12mUUqSC63llve+hke2PlBrRdvW1jbfQxEEQXhp68/2P/rMVtV5PlbreZSzPkrjGcrjGYxsGTVoI1PIMDC5nenCYZzFdopagQnvOL3xdhyxOP5cGsvmQMHClaserIGcrcRwMEnMXsJUA4y711B0hzgvmuTcZAbFmqHXfpSidBx3sUCDAd6ggRmQkct1VNIBKgfTaKMlDFNhuH4hfW3LKXcvZHF7mK6IqxbYVn86ddFwUxBSoiHC6RfIlrJZdr7nWpwtcXZP9jBR18aIFuHNShs78ifonHicTFMj+ZCD3SGZnt5VmKUTRDxuNl35XvAlmZycrLWjFR1pBEE4LZnGMx3CBh+H8T3ga4XW9VjN6zDlOkrj2WcC28ksVrWEV26EkfxOchUXWUVm3N/HqFVPbsZJcHYMZ7mMZXcgKTK2koqhhEjaK0x7Zsk5okSdCrOuBTQXO9gYd7A8a5JUhjjsOsSsfpz6gkF9QaIRE1vQQLJJyKMulCEVfRoKFQezdV3Mti5mqqGD2UAdTQEXXWE33XVuusIumv0OZFl0ERPOLCkRyL5yF/CVsu8/Pw+Pf4vhxhYmx+rZ17GAcyyZkNlF/9xPWZRMMLSynWOBQu1rs/hEjC4HlJsv5Lo3rOWxXz7CpZdeSjAoFh4IgnCGVDoY3Qlju2HqADgC0LCytlmhxVSyGqXJDKWBJMWBCTK53cwoaUpmhAnHLDFHjulCG9bEHJ7YFDargmHXMG12JElBlhwguyjak8SdM0w6E6TtFbpK3azKLCBQdjKlDNHvOEm/oxcXBv6ik4DhJohMqz6NO19EH1BRp3TklEpB9pBu7Cbd3EmsqZMBR5ii001HuDpb66YzXJ25deF36vN9dQXhZSUC2VfwAr4SCokE+95zJY7WPI/3r2R2SSNp08/1ag87s3tZMPo00UUNJDxuJr1+AifrsMvTEOjkzW95I3uPPVVLJ1ixYsV8D0UQBOGVVy7A9BGYPgRThyE5Cq4wBLtqm+XvopSrI38iR/nkPmKZo0zpBcpmfa2yQVaxSBc8KDNTVBJRrEqagt2g4LRRdrqQkFEMO6rpQlcNNHsUXS/gkn34zAiqZWPYNsxxx0kGbUOUlBK6qaGYPjBD+LGzVJ5lQWYK54iEMqWix1WkokbZFabY2kEu0sSUw8+o7EKORKjvaKaj+Zm0hPaQE5sqaoILpw8RyL6CF/CV8MRH/4TIwMM8zNmUbW4O1LVzrRQkV9GIz9xNo2Uy2dPI7kCapRMbKCb6afcGWHbpm1FDGaampmqzsaL5gSAIQq2OIcQHIdr/f39mZ8HuA3c9FTlMYdZHaSLGuDHMmJ4hhQdKEQKlMP6cFyVnUYhPkkkNEldSJF0KSZ+Hok3HMgFDBdOJZPpxqz4a7E6aZBkXJnlplqw6wLR+gmFnH5M2g5iiIps2bKYfp+EhpFToUOI0JzKo4zLatIaStKGWXVg2N5LTQd7uYlb3ELd5sNVFCLQ01ALclu4WmtobkFWRbyucmkQg+wpewJfb4XtuR/raxzne2kFi3MvJ5Z2EjABrWMDT6ftYOd7L1Kp2Tnp0wuVOyiNxOlwOpO5zueS6VTz+xFYuv/xy/H7/vI5DEAThVa2YfqZObXXLTNd+WqlJrOg4RiJBOWsngckhb4wTepaoZccohWiPR1gwWocz40LNZjBzE8T0PHNBPzGvg4xNxcDAqlQoWyqW5MdPIw1ymAbZiSpBigIFKUlBmiGpTJLRkmTUPGm1gCpVcFkyHrlCSM3S4JjEKktYEyrKpI4Ss2OUA5TtYSSPC8ksQypZrUKGEgphi0RwNtbha24g1NqIt7kBNRxGdjrn+4oLwm8lAtnTJJBNTk8x+MdXkmvWONzbxcRZrYwbEd4gd3GgeJS68SeRG/wMNQQZc7ppOuHGp5ch2MONb7uap3ZtZdWqVfT09MzbGARBEE6L1ITcHObcBMbEOJWpCcqz00zlBhmyTzNqyzCqF5gyCtQN+VnU20o46cFekrEVYxR1g3goSDzgJeNyUNBkyqZBxSiiSHbsSgCXHCYsBXFbdpISpOUSJavahSxJ0chRsUzMaiCMhY0SNqmELlWwS2V0PQeOJIqcRC6lULI5cnEn+WyAQtGHKbmohtO2SolgOYdXqqC63SjhMFokgr0hgruxAXdTPZ7mRhzhYK2GriDMFxHIvoIX8OViVCrs/rMrcKYmeDK6ksTCCCecLVxLhLIBc1N30UqFgYWtbA9YLO/rRi/P4gu0ctVb38D+4ztobW1lzZo183L+giAIpzvLtDBSJYqTcwwePcncyDil7ChldZyMfYaoPIcxbcM14ccXs+HMgb2Qx16KU3TaSPp9tS3jdlCw6ZRlCcs0UC0Nm+LBpvhwKX5ckoecpDAjmSTkLBVtFlOepSzFyElZ9ApESna8RTdaKYBU8VCtc2CqBUr2DEVHCsOeQlXiUJ2xLcjIaQklbWGlbZhZHbUIzlIBV7mAoapkXD4yXj85X4ByIIgRCCIH/NgCPrwOnZBdJWLXcNk1PA4dj13Dbdew2Wzoul7rHCnS2YQXSwSyp3ggaxlldv7d6/EeO85TpRXEmkIM1jWw0WogYAU5PnsnizJzjCxrZ4cPFoz2oGcmaAg0cd6b3szg9FHsdjvnnXeeKLUlCILwCotni5zsizJ3cgZrfBpHMo23aFKW5khJE6TzMcxYGTUDWtbCXiyiF5LI1RQDp4Okz0vW4yLnsFOwaxiShGqCbtnQZBea4kJXPLXFZIqkk5ENZtUCSTVBUZ+mqMxiWkU0w8RV1HCU7NhLQZSKB40supwAKUVFypJX8hR0mbymIqsmqmqgmAZauYI9Z2BLVdDjJo5YBUeujIVMVrOTtjlJ6W6SNg9pzUVBtVFSbBiqhqWoSKqGXVFw6Qouh4bL7cDtcxEIeonU+agLuHE5HbW/q361VQNgUR5SqBKB7CkcyBqlLPs+8UYcB3vZWVlKrD7EWFOETrORJVYT+1L30D07wuySNraHNDrHWnGk5mgONrPkyquZzQ/X/iW8ZcsWVJHoLwiCMO8syyKRLTE9kiI9mSY/MoM2FcORK6EYOUwjRtlKU6xkSRWL5PIGRs5AKRqopTwyRSpKhaJNIW/XyDtsFG02DLlaLcFANyVshorT0nFaTpySHU1xoCq22mZVsyOqx7CKVKi25JWooGBYerXCLRZ5LCmJLMeRrBiqPIemlFBU0JUKNsXEIZnYMZEsmTIKRVRKpkLRVGtbtqJQKOmUKwrlskaprGKUQKqYSOUSUqWMYprPPLeqwbKJYhlollHLE67OICtyraEaqmyiKxaaXUVxudDdXvRAGHukHkdTK76FC3HWN6E4HSguHUnU2T3tiED2FbyAL6XcbD8n/vVPUPaOcLi4gMmWekaa6um2GllhNnMweT+tc31EF7WyPeyibbwORzpBY6CZ1ddfw+DMcSKRCOecc474SkcQBOFVzqqYGMkiuZk06fEE2dEYRjQN2RKUixhmjpJZpGSWKFrVULRMqVShWJEpVRSKFlSkEkUlT0mtYCjVYgnPRIWyYaKWK6ilCnrFwG5IaCYokoqkKEiygiJpyLWauBoK6v88rz7WkCQL2TL/ZzOQrApIBsgmyBZUU2gVkBUJSZFQq8erBtaSRO1ollxr7atUi5NVI+ladm+ltpnVzTIx/iesLpoWZVOi+D9byYCCKVExVcqGTtmQscwyUiWPVM4hlao5w3kKmkVatyjadfLV9AyPE8PjRNM1nG47vlCASFMbDc0tBJweInY3Id2GR5HFzO+rnAhkX8EL+JIwDYaf/gHpb3+R4lCZwXwTvau7mXIFWSt102h4OBF7kLrcGLNdTfR5vASHNJyWRDAYYsU1lzA43ltb1FVd3CW+mhEEQTjFc2+zJQqxLNm5NPm5LPlYjlKqVGu1S6mCWu06VjapVEwqpkXFeCZELFsV8laZDGXyUoWiXKYkVSjJZUzJRDJVZKvaUKFamkuttcw1USiZ1KorFBUDQyqhKCVkjNqMr1Iy0IollOrMqlFAMvPIRh7JKiNZFooloZjPpD/IloQpS5RVmbKmUNZVDE1D0nRkTUNWVBRFR5Orf4dpuKzqTxW7peBEwY6CrRoE184qhyJlgDRl6VfBfHV8BjnLIG+aFCyTomlSMVRMU0OqKGiGhV4y0IsF7IUMailDUTbI2nTSdg8Fm4OyTce068h2HYfbQTASoLG9mQXdXTQ1LUBzzH/pzTNZSnT2euUu4Eth708+ifrD20nMOhh2NDK8tp2o1cEFNKGUcozN3ItHt5hqiRCzAngmsnhdTSh1dtpXL6FQybF+/Xqamppe9nMVBEEQXj0pC1Y1gC2VKeWKGKXKM1vFwDQMDMOo7Veb3LCgWCqSTifJZLKUinkKxSLFUqH2eqFUoFwuY1pWLTiVqzOp1YC6GiRa1RlSk6wlU7AUcpZCAZmKZdUWj0lGGaVSRjVKaJUitnKx9ry2GZVnjledDTZBrc4UGyBZ1VOSsWQJU1IwFQ2jtulQS4lwoEkubLITXVLRZQlNttAk0GULmyRhk2R0SaomSSBJOWQph1VNn7AsykgUgLwFeSTypkXBhJIhgWliM/PYK0XUUhG5er6l6mxvHrlYrI2nqCmUdBumTUFx23EGfXg72wgsW0HDsnXUeQNoIqXhVRGHzXu15K985Sv8y7/8C5OTkyxbtowvfvGLbN68+bfuv3XrVm699VaOHDlSC9z++q//mltuueU5+9xxxx189KMfpb+/n+7ubv7xH/+RG264gVer0Tv3oM+EOLxuIXF7A910s8XwMJE9RCp7CLnex5jLQXlGI2BK+IOd2BeGUD0aofoAq1dfWMuLFQRBEM4c1QD1/2/vPoCjKrs+gP/vllQgpEASQJoioQgooFIEHCkCUmygSFH8GB0QQ1FB0YEXBxARpElVsSBlVEJxQEGlV6UJgpSRoSMmhGQ3bdv95jxJ9k1CEuR1ky38f866u/fe3dz38b67Z889z7maSUOQKRhBYcH/+v1cLhdsNluhmwS3EhDLTdaX9tjhdCHT4UB23i3TlgmL9TqsFgsyciR4tsHptAOS5XW4YHBKgPvfm+ZywuDKgOaywCYBtdTU6i5oTgmu8yoaJOvrMsAgWVvJLiMIRunHawiHyRCqnps1HWbdAbPBoR5X0lyIlgBY1d/qMJplUllFaFooXJpMpjPCJoG+ZHd1HTaXDqNLR7jLAZPTDoPTAVeKHRmXM5H10xZctG2AXc+GzeCAbrbDVcEMvUolhNS5A1GNmiD+zoaIiYpCpNnMYLcceDWQXblyJUaMGKGC2TZt2mDhwoXo2rUrjh07pi6pWtSZM2fQrVs3DBkyBEuXLsXOnTsxdOhQVRf65JNPqm12796Nvn374t1331XBa1JSEvr06YMdO3ao2lFfdCC+Hsy1q6G2sypa2UPwV86fOGrbAoQY4IyNQbolCGZLBcRUrAJ7TA7Casbi7vr1kJCQgAoVKnh794mIKABI79j8DgLlkU2W4DcrOwupadeQmpaMVEsq0q1pSM9Mg8WaDktWOqzZVmRmZ8Fmz4EuQbNDgyaBrDuYdcHoyoBRl5uUB2vQNCngVY+guXKzv7K9lD8YnCYY7ZIptsLkcCBYbk4ngnU7zDL1zeBCiFGDwWhUZRCSHdbMwTAGh8BcIRJGrRpMWig0ySLrgNPlzM1aW11wHNJgP3AWZ5x/4pTuUL2C7VLWYbQhJ8QFe2QwzPExqBgfh5iaNVAltipiIsJQWdqYsW73f6bpcjR5iQSW9913H+bPn+9e1qBBA/Tu3RtTpky5YfsxY8Zg7dq1OH78uHuZZGMPHz6sAlghQaykpDds2ODe5tFHH0VkZCSWL1/uk6UFS0d9gFAtBCmOK8hCGgxGB4xOF9JtlRFkjkFQKOCMsaHxfQ+iTp06qF69uurVR0REdDuQUEUmvVltVlizLbBmWmDJTIc1y5L7PNsKi9WKv9PTcC39OqxZ6bBnZ+eWV7iMMOgmmF1mmJwmmJ1GBLnkpsGkazDIzDVNJoBJQYWWG/jKvDZ1LyUWectU1lhX389mXYMJeTeZ5GYwqglvJs2g6n9Nmjw3w6zJYzOMmkx703InuOk2OGHPveKbmu4m907I9DddTYLTVZZb13S4HJL1dsEpZSQyTc7lgktzwil1yMFmOMPCYaociZCq0QiNqYrIqEhERVRGVFRFVAoPR3hIKIKNptzOEFJi4if8orRATlns378fY8eOLbS8c+fO2LVrV7GvkWBV1hckl1/95JNP1OkPOb0u24wcOfKGbaRkoSQ5UieUk1NoAMtThvMPWKWAyRmCLFNVdYrEHJaD6OphaN66He6oVlMF4mynRUREtyMJwoKNwQgODUZ0aDQQeWuvl8ypzWlTmd2cnNy64KysLFy3WpB8LRmpqX8hJfUvXLt+HZbMTDWRzOkCXFItnBfwSvAqwa2UHaiODAXLHdTj3EBRAlbkPYY7eNRg0CRk1qAZ5D4vayzlIQX/ka4SBf4xBOcG1+rfmvz93HsJi2WfNCmDTtGhpSQjW/8bl6Hjsvy5vBylylW685V590Xzl/nP5V52V91J4Jy/Lne5rjvxfzMnwNd4LZBNTk5Wv5RiY2MLLZfnV65cKfY1sry47R0Oh3q/+Pj4Ercp6T2FZH//85//wFua9HwSWmgY7mrQCJXCK6mm0EREROQZkjENNYQi1BwKhJXNqDpcUk5gVwFztj0LNlc2chyZyLbnwObIQXZ2JtIz0pF8PRl/X09BamYG0iRotjtgl+4Tdum5K9GzE0Zdh1kCZnnjvK4QKjMsAaxTssJAkDx2GWDSdWmeBiPyyidU0Czbq0e5QXBeACz3+WUXKlJVgbThv0F3XuZWzw/K1YQ2CWtz98MXeX2yV9FUt/x6KC39Xdz2RZff6nu++eabagJZwYysXN61vLR6pGu5/S0iIiLyPJPBpG6hplBEBEdwiAM9kI2JiVFN+4tmSq9evXpDRjVfXFxcsdvLKffo6OhStynpPYXUm7LmlIiIiMi/5OWTy5+cPm/evDk2bdpUaLk8b926dbGvadWq1Q3bb9y4ES1atHC3nyppm5Lek4iIiIj8k1dLC+R0/oABA1QgKgHookWLcO7cOXdfWDnlf/HiRXzxxRfquSyfO3euep204JKJXTLRq2A3gsTERLRr1w5Tp05Fr169sGbNGvz444+q/RYRERERBQ6vBrLSKislJQUTJ05UF0Ro3Lgx1q9fj1q1aqn1skwC23zSekrWS1eCjz76SF0QYfbs2e4eskIyrytWrMDbb7+tLoogF0SQfrW+2kOWiIiIiPywj6yvKu8+skRERER063GY12pkiYiIiIj+DQayREREROSXGMgSERERkV9iIEtEREREfsnrV/byRfnz36TYmIiIiIjKT3789U/6ETCQLYbFYlH35XmZWiIiIiIqHI9J94LSsP1WMVwuFy5duoSKFStC0zSU168PCZzPnz/Pll8c64DB45rjHah4bHOsA1W6D8QjkomVIFauF2AwlF4Fy4xsMWTQatSoAW+Qg4a9aznWgYbHNcc7UPHY5lgHqkpejkdulonNx8leREREROSXGMgSERERkV9iIOsjgoODMX78eHVPHOtAweOa4x2oeGxzrANVsJ/FI5zsRURERER+iRlZIiIiIvJLDGSJiIiIyC8xkCUiIiIiv8RA1oumTJmCli1bqgsvVK1aFb1798aJEye8uUu31djLxS5GjBjh7V0JWBcvXkT//v0RHR2NsLAwNGvWDPv37/f2bgUch8OBt99+G3Xq1EFoaCjq1q2LiRMnqgu70L+3bds29OjRQzVml8+M1atX39C4fcKECWq9jH+HDh3w+++/c+g9PNZ2ux1jxozBPffcg/DwcLXNwIED1cWLyPPHdUEvvfSS2mbmzJnwRQxkvWjr1q0YNmwY9uzZg02bNqkvpM6dOyMjI8ObuxXwfvnlFyxatAhNmjTx9q4ErNTUVLRp0wZmsxkbNmzAsWPHMH36dFSuXNnbuxZwpk6digULFmDu3Lk4fvw43n//fUybNg1z5szx9q4FBPk8btq0qRrf4sh4z5gxQ62Xz5a4uDh06tTJfalz8sxYZ2Zm4sCBA3jnnXfU/apVq3Dy5En07NmTQ1wGx3U+CXD37t2rAl6fpZPPuHr1qi7/SbZu3ertXQlYFotFr1evnr5p0ya9ffv2emJiord3KSCNGTNGb9u2rbd347bQvXt3ffDgwYWWPfHEE3r//v29tk+BSj6fk5KS3M9dLpceFxenv/fee+5l2dnZekREhL5gwQIv7WVgjnVx9u3bp7Y7e/Zsue3X7TTWFy5c0KtXr64fPXpUr1Wrlv7hhx/qvogZWR+Slpam7qOiory9KwFLMuDdu3dHx44dvb0rAW3t2rVo0aIFnn76aVU2c++992Lx4sXe3q2A1LZtW/z0008qOyUOHz6MHTt2oFu3bt7etYB35swZXLlyRZ1Jyye9N9u3b49du3Z5dd9ul+9MOeXNMz2eJ6VJAwYMwOuvv45GjRrBl5m8vQOUS34UjRo1Sn0pNW7cmMNSBlasWKFOScnpPypbf/75J+bPn6+O6bfeegv79u3Dq6++qr7kpa6NPEfqBuULPSEhAUajEU6nE5MmTcKzzz7LYS5jEsSK2NjYQsvl+dmzZzn+ZSg7Oxtjx45Fv379UKlSJY51GZQsmUwm9bnt6xjI+ohXXnkFv/32m8qkkOedP38eiYmJ2LhxI0JCQjjE5fBrXjKykydPVs8lIysTYCS4ZSDrWStXrsTSpUuxbNkylTk5dOiQmsQoNW2DBg3y8F+j4khWsGhiougy8hyZ+PXMM8+oz5l58+ZxaD1MJuXOmjVLJX784ThmaYEPGD58uDoVu3nzZtSoUcPbuxOw/8e8evUqmjdvrn5lyk0m282ePVs9liwWeU58fDwaNmxYaFmDBg1w7tw5DrOHyak/yUzJF7vM6JbTgSNHjlSdOahsycSugpnZfPJZUzRLS54LYvv06aPKOmSSNLOxnrd9+3Z1DNesWdP9fSlnGEaPHo3atWvD1zAj60Xyq12C2KSkJGzZskW1z6Gy8cgjj+DIkSOFlr3wwgvqdKycmpVTsuQ50rGgaCs5qeGsVasWh9nDZDa3wVA4JyHHM9tvlT35zJZgVgIqOesgbDab+pEsp2apbILYU6dOqcSPtPYjz5Mfw0XnkXTp0kUtl+9NX8NA1ssTj+R04Jo1a1Qv2fxf9REREaofIXmOjG/R2mPpRSgfhKxJ9jzJCLZu3VqVFsgXj9TISsszuZFnSS9IqYmV7ImUFhw8eFC1gxo8eDCH2gOsVitOnz7tfi6ZQCnfkEm5MuZSxiHHeb169dRNHkvfZKndJM+NtZTKPPXUU+p093fffafOouV/Z8r6oKAgDrcHj+uiPxKklaL8aKtfvz58jrfbJtzOZPiLuy1ZssTbu3ZbYPutsrVu3Tq9cePGenBwsJ6QkKAvWrSojP/i7Sk9PV21katZs6YeEhKi161bVx83bpyek5Pj7V0LCJs3by72c3rQoEHuFlzjx49XbbjkWG/Xrp1+5MgRb+92wI31mTNnSvzOlNeRZ4/rony5/ZYm//J2ME1EREREdKs42YuIiIiI/BIDWSIiIiLySwxkiYiIiMgvMZAlIiIiIr/EQJaIiIiI/BIDWSIiIiLySwxkiYiIiMgvMZAlIiIiIr/EQJaIqIx06NBBXcKUiIjKBgNZIiI/smrVKnTq1AlVqlRBpUqV0KpVK/zwww//6LXffvutCq4jIiJQoUIFNGnSBBMnTsS1a9fU+s8++wyaprlv8fHx6NOnj7oOe77atWurdStWrLjh/Rs1aqTWyfsQEZUHBrJERH5k27ZtKpBdv3499u/fj4cffhg9evTAwYMHS33duHHj0LdvX7Rs2RIbNmzA0aNHMX36dBw+fBhffvmlezsJji9fvoxLly5h2bJlOHToEHr27Amn0+ne5o477sCSJUsKvf+ePXtw5coVhIeHl8H/aiKi4jGQJSIqJ6mpqRg4cCAiIyMRFhaGrl274tSpU4W2Wbx4sQoUZf3jjz+OGTNmoHLlyu71M2fOxBtvvKEC0nr16mHy5Mnqft26dSX+3X379qntJHCdNm0aWrdurTKrEhBLlnbQoEHubSWjGhcXp7KxEiSPHz9eBb2nT592b/Pcc89h69atOH/+vHvZp59+qpabTCYPjhgRUekYyBIRlZPnn38ev/76K9auXYvdu3dD13V069YNdrtdrd+5cydefvllJCYmqkyoBJqTJk0q9T1dLhcsFguioqJK3Oarr75SpQRDhw4tdn3BQLmo0NBQdZ+/jyI2NhZdunTB559/rp5nZmZi5cqVGDx48E1GgIjIsxjIEhGVA8m8SgD78ccf46GHHkLTpk1VgHnx4kWsXr1abTNnzhyVpX3ttddw9913q8BTnpdGsqwZGRmqlrW0v123bl2YzeZb2ucLFy6oDG6NGjXU/hQkQavUwkow/s033+DOO+9Es2bNbun9iYj+LQayRETl4Pjx4+q0+wMPPOBeFh0djfr166t14sSJE7j//vsLva7o84KWL1+OCRMmqGxo1apVS9xOgk0pGfgn0tLSVPZWal2lxMFms6kJZkFBQYW26969O6xWq6rZlbICZmOJyBtYzEREVA4kmLxZkFlcwFnS6yR4ffHFF/H111+jY8eOpf5tyabu2LFDlQfcLCtbsWJFHDhwAAaDQZUQlDR5S4LyAQMGqBravXv3IikpqdT3JSIqC8zIEhGVg4YNG8LhcKigL19KSgpOnjyJBg0aqOcJCQlqYlZBUlNbXCZW6m2lq4BkRm+mX79+Kns6b968Ytdfv37d/VgC2LvuukuVItysA4FkYWXSV69evdQENiKi8saMLBFROZDOAhLwDRkyBAsXLlSZz7Fjx6J69epquRg+fDjatWunOhVIS62ff/5ZtcoqmKWVIFY6H8yaNQsPPviganmVPylL+sMWR8oZpNPB6NGjVU2udEOoVq2a6kSwYMECtG3bVk0wu1USgCcnJ6sOC0RE3sCMLBFROZHeq82bN8djjz2mLmQgZQPSDzb/dH+bNm1UYCmBrEwG+/777zFy5EiEhIS430OCYMnsDhs2TLXIyr/dLBCdOnWqyuBKRlg6DsjFC0aNGqUuilCw/datkjrf/M4GRETlTdNLKsAiIiKvkwzuH3/8ge3bt3t7V4iIfA5LC4iIfMgHH3yg+sdKfaqUFUiv1pJqW4mIbnfMyBIR+RDpB7tlyxZ1kQOZcCV1s3KRBCIiuhEDWSIiIiLyS5zsRURERER+iYEsEREREfklBrJERERE5JcYyBIRERGRX2IgS0RERER+iYEsEREREfklBrJERERE5JcYyBIRERGRX2IgS0RERETwR/8PC11dAmKJjm0AAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(7, 3.5))\n",
"plot_log_cpm_density(expr, ax, 'Per-sample log-expression density')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "029b6932",
"metadata": {},
"source": [
"## 4. MDS (coloured by BT)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "ef6c7990",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:04.615630Z",
"iopub.status.busy": "2026-04-20T19:13:04.615358Z",
"iopub.status.idle": "2026-04-20T19:13:10.262091Z",
"shell.execute_reply": "2026-04-20T19:13:10.261261Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(5.5, 5))\n",
"plot_mds_coloured(expr.values, group.values, ax,\n",
" top=500, title='MDS (BT)')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "8cf86194",
"metadata": {},
"source": [
"## 5. Design matrix"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "ab9eb128",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:10.267651Z",
"iopub.status.busy": "2026-04-20T19:13:10.267238Z",
"iopub.status.idle": "2026-04-20T19:13:10.284054Z",
"shell.execute_reply": "2026-04-20T19:13:10.282486Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Design: (128, 2), contrast = T - B\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" B | \n",
" T | \n",
"
\n",
" \n",
" \n",
" \n",
" | 01005 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 01010 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
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" \n",
" | 03002 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 04006 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 04007 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 04008 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 04010 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
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" \n",
" | 04016 | \n",
" 1.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
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"
"
],
"text/plain": [
" B T\n",
"01005 1.0 0.0\n",
"01010 1.0 0.0\n",
"03002 1.0 0.0\n",
"04006 1.0 0.0\n",
"04007 1.0 0.0\n",
"04008 1.0 0.0\n",
"04010 1.0 0.0\n",
"04016 1.0 0.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"design, C = gd.build_two_group_design(group)\n",
"design_df = pd.DataFrame(design, index=expr.columns,\n",
" columns=sorted(group.unique()))\n",
"print(f\"Design: {design_df.shape}, contrast = T - B\")\n",
"design_df.head(8)"
]
},
{
"cell_type": "markdown",
"id": "95dfad96",
"metadata": {},
"source": [
"## 6. Fit linear models and contrasts (no voom)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "38f6a61f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:10.289095Z",
"iopub.status.busy": "2026-04-20T19:13:10.288674Z",
"iopub.status.idle": "2026-04-20T19:13:10.626270Z",
"shell.execute_reply": "2026-04-20T19:13:10.624845Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/John/miniconda3/lib/python3.11/site-packages/h5py/__init__.py:36: UserWarning: h5py is running against HDF5 1.14.3 when it was built against 1.14.2, this may cause problems\n",
" _warn((\"h5py is running against HDF5 {0} when it was built against {1}, \"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"coefficients shape: (12625, 1)\n"
]
}
],
"source": [
"fit = pylimma.lm_fit(expr.values, design)\n",
"fit = pylimma.contrasts_fit(fit, contrasts=C)\n",
"print(f\"coefficients shape: {fit['coefficients'].shape}\")"
]
},
{
"cell_type": "markdown",
"id": "7ccdc4d9",
"metadata": {},
"source": [
"## 7. Empirical Bayes moderation"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "6fea318c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:10.632834Z",
"iopub.status.busy": "2026-04-20T19:13:10.632183Z",
"iopub.status.idle": "2026-04-20T19:13:10.668941Z",
"shell.execute_reply": "2026-04-20T19:13:10.666085Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"s2_prior: 0.0842\n",
"df_prior: 3.03\n"
]
}
],
"source": [
"fit = pylimma.e_bayes(fit)\n",
"print(f\"s2_prior: {fit['s2_prior']:.4f}\")\n",
"print(f\"df_prior: {fit['df_prior']:.2f}\")"
]
},
{
"cell_type": "markdown",
"id": "f08441b6",
"metadata": {},
"source": [
"## 8. Top table"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "9ad0fb3c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:10.674177Z",
"iopub.status.busy": "2026-04-20T19:13:10.673896Z",
"iopub.status.idle": "2026-04-20T19:13:10.704065Z",
"shell.execute_reply": "2026-04-20T19:13:10.703127Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DE calls at adj_p_value < 0.05: 3,024 probes\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" log_fc | \n",
" ave_expr | \n",
" t | \n",
" p_value | \n",
" adj_p_value | \n",
" b | \n",
"
\n",
" \n",
" \n",
" \n",
" | 38319_at | \n",
" 4.655042 | \n",
" 6.041217 | \n",
" 35.302014 | \n",
" 3.665982e-68 | \n",
" 4.628303e-64 | \n",
" 142.887385 | \n",
"
\n",
" \n",
" | 38147_at | \n",
" 3.154743 | \n",
" 4.582970 | \n",
" 26.368452 | \n",
" 8.329164e-54 | \n",
" 5.257785e-50 | \n",
" 111.276776 | \n",
"
\n",
" \n",
" | 33238_at | \n",
" 3.102294 | \n",
" 7.292159 | \n",
" 22.711375 | \n",
" 6.493588e-47 | \n",
" 2.732718e-43 | \n",
" 95.863304 | \n",
"
\n",
" \n",
" | 35016_at | \n",
" -3.214222 | \n",
" 10.337892 | \n",
" -22.347402 | \n",
" 3.433264e-46 | \n",
" 1.083624e-42 | \n",
" 94.239065 | \n",
"
\n",
" \n",
" | 2059_s_at | \n",
" 2.668482 | \n",
" 7.232735 | \n",
" 22.156246 | \n",
" 8.286073e-46 | \n",
" 2.092233e-42 | \n",
" 93.379248 | \n",
"
\n",
" \n",
" | 37039_at | \n",
" -3.265990 | \n",
" 11.072596 | \n",
" -21.343275 | \n",
" 3.694071e-44 | \n",
" 7.772940e-41 | \n",
" 89.669946 | \n",
"
\n",
" \n",
" | 38095_i_at | \n",
" -3.762299 | \n",
" 10.228156 | \n",
" -20.426219 | \n",
" 2.955978e-42 | \n",
" 5.331317e-39 | \n",
" 85.382469 | \n",
"
\n",
" \n",
" | 38833_at | \n",
" -2.966787 | \n",
" 10.144085 | \n",
" -19.764032 | \n",
" 7.473721e-41 | \n",
" 1.179447e-37 | \n",
" 82.217871 | \n",
"
\n",
" \n",
" | 33039_at | \n",
" 1.812889 | \n",
" 3.619621 | \n",
" 19.685785 | \n",
" 1.098739e-40 | \n",
" 1.541287e-37 | \n",
" 81.840104 | \n",
"
\n",
" \n",
" | 38096_f_at | \n",
" -4.248782 | \n",
" 9.169628 | \n",
" -19.055233 | \n",
" 2.522408e-39 | \n",
" 3.184540e-36 | \n",
" 78.766423 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" log_fc ave_expr t p_value adj_p_value b\n",
"38319_at 4.655042 6.041217 35.302014 3.665982e-68 4.628303e-64 142.887385\n",
"38147_at 3.154743 4.582970 26.368452 8.329164e-54 5.257785e-50 111.276776\n",
"33238_at 3.102294 7.292159 22.711375 6.493588e-47 2.732718e-43 95.863304\n",
"35016_at -3.214222 10.337892 -22.347402 3.433264e-46 1.083624e-42 94.239065\n",
"2059_s_at 2.668482 7.232735 22.156246 8.286073e-46 2.092233e-42 93.379248\n",
"37039_at -3.265990 11.072596 -21.343275 3.694071e-44 7.772940e-41 89.669946\n",
"38095_i_at -3.762299 10.228156 -20.426219 2.955978e-42 5.331317e-39 85.382469\n",
"38833_at -2.966787 10.144085 -19.764032 7.473721e-41 1.179447e-37 82.217871\n",
"33039_at 1.812889 3.619621 19.685785 1.098739e-40 1.541287e-37 81.840104\n",
"38096_f_at -4.248782 9.169628 -19.055233 2.522408e-39 3.184540e-36 78.766423"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tt = pylimma.top_table(fit, coef=0, number=np.inf, sort_by='p')\n",
"tt.index = expr.index[np.argsort(np.asarray(fit['p_value']).ravel())]\n",
"print(f\"DE calls at adj_p_value < 0.05: {(tt['adj_p_value'] < 0.05).sum():,} probes\")\n",
"tt.head(10)"
]
},
{
"cell_type": "markdown",
"id": "91590e74",
"metadata": {},
"source": [
"## 9. MD + volcano plots"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "4fe2b750",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:10.709032Z",
"iopub.status.busy": "2026-04-20T19:13:10.707805Z",
"iopub.status.idle": "2026-04-20T19:13:10.915295Z",
"shell.execute_reply": "2026-04-20T19:13:10.915033Z"
}
},
"outputs": [
{
"data": {
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hhBBCCCGEEELiDoPOCUlyds6bJ3sWL5Yup5wi3c85J9HDIYQQQgghhBCS4uxMkvNMOqUISfIPimXXXy+bZ8xQP/E3IYQQQgghhBCSDueZFKUISWKgXGe1aiVNDQ3q594lSxI9JEIIIYQQQgghKcyeJDrPpChFSBIDK6X+oMDPzmPGJHpIhBBCCCGEEEJSmC5JdJ7JTClCkhjU9p789NNKucYHBTOlCCGEEEIIIYSky3kmRSlCkhx8QFCMIoQQQgghhBCSbueZLN8jhBBCCCGEEEIIIXGHohQhhBBCCCGEEEIIiTsUpQghhBBCCCGEEEJI3KEoRQghhBBCCCGEEELiDkUpQgghhBBCCCGEEBJ3KEoRQgghhBBCCCGEkLhDUYoQQgghhBBCCCGExB2KUoQQQgghhBBCCCEk7lCUIoQQQgghhBBCCCFxh6IUIYQQQgghhBBCCIk7FKUIIYQQQgghhBBCSNyhKEUIIYQQQgghhBBC4g5FKUIIIYQQQgghhBASdyhKEUIIIYQQQgghhJC4Q1GKEEIIIYQQQgghhMSdlBWlHnjgAcnKypJbbrkl0UMhhBBCCCGEEEIIIZkgSi1btkyeeeYZGTFiRKKHQgghhBBCCCGEEEIyQZQ6ePCgXHnllfKnP/1JOnbsmOjhEEIIIYQQQgghhJBMEKVuvPFGueCCC+Scc84JuWxtba1UVVX53QghhBBCCCGEEEJI4mktKcTMmTNl+fLlqnzPa+7UvffeG/NxEUIIIYQQQgghhJA0dUpt3bpVbr75ZnnhhRekbdu2np5z5513SmVlpXXDOgghhBBCCCGEEEJI4kkZp9THH38s5eXlctJJJ1n3NTQ0yLvvviuPPfaYKtVr1aqV33Nyc3PVjRBCCCGEEEIIIYQkFykjSk2YMEE+//xzv/uuvfZaGTJkiPziF78IEKQIIYQQQgghhBBCSPKSMqJUQUGBDB8+3O++/Px86dy5c8D9hBBCCCGEEEIIISS5SZlMKUIIIYQQQgghhBCSPqSMU8qJBQsWJHoIhBBCCCGEEEIIISQC6JQihBBCCCGEEEIIIXGHohQhhBBCSIqzbds2+e53v6uyNtu1ayfHH3+86lysaWpqkqlTp0qPHj0kLy9Pxo0bJ6tWrUromAkhhBBCKEoRQgghhKQwFRUVcvrpp0ubNm3kzTfflNWrV8tDDz0kHTp0sJZ58MEH5eGHH5bHHntMli1bJt27d5dzzz1XDhw4kNCxE0IIISSzSelMKUIIIYSQTOe3v/2t9OrVS6ZPn27d17dvXz+X1COPPCJTpkyRb33rW+q+5557Trp16yYvvviiXH/99QkZNyGEEEIInVKEEEIIISnM7NmzZdSoUXLJJZdIcXGxnHDCCfKnP/3JenzTpk2yc+dOOe+886z7cnNzZezYsbJo0SLHddbW1kpVVZXfjRBCCCEk2lCUIoQQQghJYTZu3ChPPvmkDBo0SP773//KDTfcIDfddJPMmDFDPQ5BCsAZZYK/9WN2HnjgASkqKrJucGIRQgghhEQbilKEEEIIISlMY2OjnHjiiXL//fcrlxTK8a677jolVJlkZWX5/Y2yPvt9mjvvvFMqKyut29atW2O6D4QQQgjJTChKEUIIIYSkMCUlJTJ06FC/+4499lgpKytTvyPUHNhdUeXl5QHuKbO8r7Cw0O9GCCGEEBJtKEoRQgghhKQw6Ly3du1av/vWrVsnffr0Ub/369dPCVNz5861Hq+rq5OFCxfKaaedFvfxEkIIIYRo2H2PEEIIISSFufXWW5W4hPK9Sy+9VJYuXSrPPPOMugGU6N1yyy3qceRO4Ybf27VrJ1dccUWih08IIYSQDIaiFCFJws5582TP4sXS5ZRTpPs55yR6OIQQQlKEk08+WV555RWVA/XrX/9aOaMeeeQRufLKK61l7rjjDqmpqZHJkydLRUWFjBkzRt566y0pKChI6NgJIYQQktlkNSHlMkNAO2N0kEFgJ7MRSLIJUsuuv16yWrWSpoYGOfnppylMEUJIEsC5A48DIZnKpEmTZPbs2YkeBiEkzedQzJQiJAmAQ0oLUvi5d8mSRA+JEEIIIYQQQgiJKRSlCEkCULKnBSn87DxmTKKHRAghhBBCCCGExBRmShGSBCBDCiV7cEhBkGKmFCGEEEIIIYSQdIeiFCFJAoQoilGEEEIIIYQQQjIFilKEpDns6kcIIYQQQgghJBlhphQhGdDVb/OMGeon/iaEEEIIIYQQQpIBilKEpDHs6kcIIYQQQgghJFmhKEVIGsOufoQQQgghhBBCkhVmShGSxrCrHyGEEEIIIYSQZIWiFCFpDrv6EUIIIYQQQghJRihKkZSAHeQIIYQQQgghhJD0gplSJOlhBzlCCCGEEEIIIST9oChFkh52kEtvwXHltGnqJyGEEEIIIYSQzIKiFEl62EEuPaEDjhBCCCGEEEIyG2ZKkaSHHeQyxwGH15oQQgghhBBCSGZAUYqkBOwgl54OuE3Tp1vCVOcxYxI9JEIIIYQQQgghcYSiFCEkIdABRwghhBBCCCGZDUUpQkjCoAOOEEIIIYQQQjIXBp0TQgghhBBCCCGEkLhDUYoQQgghhBBCCCGExB2KUoQQQgghhBBCCCEk7lCUIoQQQgghhBBCCCFxh6IUIYQQQgghhBBCCIk7FKUIIYQQQgghhBBCSNyhKEUIIYQQQgghhBBC4k7r+G+SEEIIIYQQQgghJDJ2zpsnexYvli6nnCLdzzmHhzGFoShFSIzhByYhhBBCCCGERO/8atn110tWq1ayafp0OfnppylMpTAs3yMkDh+Ym2fMUD/xNyGEEEIIIYSQyIBDCoJUU0OD+rl3yRIeyhSGohQhMYQfmIFAmFs5bRoFOkIIIYQQQkjYoGRPC1L42XnMGB7FFIble4TEsGSvVV4ePzBtx4VWW0IIIYQQQkikIEMKJXtwSEGQYqZUakNRipAYCi9Q7gdOniyNhw/zA9PFOcYvEUIIIYQQQkg44ByC5xHpAcv3CImx8AJBatiUKfzQpNWWEEIIIYQQQogBnVKExKDGGV0gWOMcCK22hBBCCCGEEEI0FKUIiTIUXkIfH1ptCSGEEEIIIYRQlCIkBlB4IU7B93DRUZAjhBBCCCGEkGaYKUUIIXEIvt88Y4b6ib8JIYQQQgghhFCUIoREGYguK6dNo/gSpOMgIYQQQgghhBCKUoSQKEJXUCAo2dOCFH52HjOG7zlCSFSZOnWqZGVl+d26d+9uPd7U1KSW6dGjh+Tl5cm4ceNk1apVfBUIIYQQknBYvkcIiRp0BbkH3/e7+mr1k5lShJBYMGzYMNmxY4d1+/zzz63HHnzwQXn44Yflsccek2XLlinB6txzz5UDBw7wxSCEEEJI6gSd40rbwoUL5b333pPNmzfLoUOHpGvXrnLCCSfIOeecI7169YrdSAkhKeEK2jR9Ol1BNhh8TwiJNa1bt/ZzR5lzt0ceeUSmTJki3/rWt9R9zz33nHTr1k1efPFFuf766/niEEIIISS5nVI1NTVy//33K9Fp4sSJ8vrrr8v+/fulVatWsmHDBrnnnnukX79+8vWvf10WL14c+1ETQpISuoIIISQxrF+/XpXnYT52+eWXy8aNG9X9mzZtkp07d8p5551nLZubmytjx46VRYsWua6vtrZWqqqq/G6EEEIIIQlxSpWWlsqYMWPkqaeekq997WvSpk2bgGW2bNmirrhddtll8stf/lKuu+66qA+WEJLceVIo34NbatiUKZKM42LpHCEkHcEcbcaMGWq+tmvXLpk2bZqcdtppKjcKghSAM8oEf2Pu5sYDDzwg9957b8zHTgghhJDMJqsJvu4QrFy5UoYPH+5phXV1dWqSM2jQIEk2cJWvqKhIKisrpbCwMNHDISTtAs51mHeyZCcl67gIIalDKs4dqqurZcCAAXLHHXfIKaecIqeffrps375dSkpKrGVw8XDr1q0yZ84cV6cUbuZxgGM+lY4DIaRlTJo0SWbPns3DSAiJ6RzKU/meV0EK5OTkJKUgRQgJLt6snDZN/UyngPNkHRchhMSS/Px8Oe6441RJn86Z0o4pTXl5eYB7ygQlfphAmjdCCCGEkKTqvocrcX/961/l8ccfVxMfQkjqod1Em2fMUD8jEaZQGqeFH/zsPGaMJAPJOi5CCIklcDh98cUXyhmFjCkIU3PnzvVztaNxDUr8CCGEEEJSovteWVmZXHXVVbJ8+XJlBf/LX/6i2glrMSovL0/efPNNOeuss2I5XkJIHNxE4Za46YBzPBfCT7KUyCXruAghJJr87Gc/kwsvvFB69+6tHFDIlIJl/uqrr5asrCy55ZZbVMMaONlxw+/t2rWTK664gi8EIYQQQlJDlMKEB1fWnnzySXnppZdU4DkmNu+++65kZ2fL5MmTZerUqTJ//vzYjpgQEnU30abp01vsJoLgk4yiT7KOixBCosVXX30l3/nOd2TPnj3StWtXdfEQ3ZD79OmjHke2FDopY65WUVGhgtHfeustKSgo4ItACCGEkOQPOgewfiPobvTo0bJv3z7p0qWLfPDBB3Lqqaeqxz/77DOZMGGCmhAlK6kYVkpIPEDJHt1EhBASCOcOPA6EZCoMOieExGMO5dkptXv3buuKW6dOnZTt2wzIhGiFq2+EkNSDbiJCCCGEEEIIIfHGsygFQxVyCTTm74SQzHNWIYsKpX8sjSOEEEIIIYQQElNRCvzqV79SDimAfKn77rtP2bHAoUOHJJY88MAD8vLLL8uaNWtUqDo6xvz2t7+VwYMHx3S7hMSDVBJ5dLc+ZFAhiwpB4sk+5kwkld5ThBBCCCGEkMzEsyiFrnpr1661/oYotHHjxoBlYgVaF994441y8sknS319vUyZMkXOO+88Wb16teTn58dsu4TEmlQTeaLRrY/EllR7TxFCCCGEEEIyE8+i1IIFCySRzJkzx+/v6dOnS3FxsXz88ccxFcMIiTWpJvJEq1sfiR2p9p4ihBBCCCGEZCbZkqIgwV2HrrtRW1urEt/NGyHJKPJo8SAVRB6IG3De9Lv6ajpwkpRUe08RQgghhBBCMpOwMqWSBYSu33bbbXLGGWfI8OHDg+ZQ3XvvvXEdG0kf4pXJo0UeuFkgHqSCo4Xd+pKbVHxPEUIIIYQQQjKPrCYoPCkGsqVef/11ef/99+WYY44J6pTCTQOnVK9evZTLqrCwME6jJameyQOnSbpn8jAUmxBCnMHcAU1dMn3uwONASOYxadIkmT17dqKHQQhJ87lDyjmlfvrTn6oPx3fffTeoIAVyc3PVjZBwyaRMHnsodvGECdLn0kvTdn8JIYQQQgghhCQHKZMpBUPXT37yE3n55Zdl/vz50q9fv0QPiXgQO1ZOm6Z+phqZlMljCnCgfP58JVKl4utGCCGEEEIIISRDRKnjjjtOtm7dKvEq2XvhhRfkxRdflIKCAtm5c6e61dTUxGX7JDL3zeYZM1JS4MikMG8twElWVvMdTU2WOywdBUdCCCGEEEJIasLzkPSjReV7mzdvliNHjkg8ePLJJ9XPcePG+d0/ffp0ueaaa+IyhnQjljlC6VD+Fusw70TmONm3DeGtbNYs2fX22yHdYfZyP7tolyz5VMkyDkIIIYQQQkjLCXUeQlKTlMmUSsE89oz+Bw0hAOvNhPK3SEQSkKgPVLfXHjc8FqpjWzDBMVm+KJJlHIQQQgghhJDokA7GBxLl8r0zzzxT8vLyWrIKkkT/oKNJJpW/RVLOCFdSLI9/pK89XqdhU6YEfb2C5W3F+n3llWQZByGEEAI+XLtLnnprtfpJCCEkMjIp9zeTaJEo9cYbb0hJSUn0RkPS6h+0F4EjU7CLJMhvStQHaktfe7vgCHS+VLJ8USTLOAghhBAIUVNnfSSvLt2sflKYIoSQyKDxIT3JasqguriqqiopKiqSyspKKSwslEzHS6lWOpAM2UJmORlEEi3mJOr4R+u1T7b9so8tGcZBCEltOHfgcWgpcEhBkGpsapLsrCy5aHRfuf68oVF4dxISWyZNmiSzZ8/mYSYpd+5FUmsOlTKZUiR5grz1B02rvDxpqKlJ6g+cZMkW0qq+XSRJ1HGLVoi7U5lcsrjjYh1UTwghhHhhZJ/O8sqSTUqQgjA1ok9nHjhCSFqSLOdeJLWgKEUi+qCR7GyRxkb1M5k/cJIpDC8dRRIG2hNCCCHBOXVwN5l66ShZsWWvEqTwNyGEpCPJdO5F0jBT6t1335X6+vrYjoakzAeNEqRAY2NSB0kzWyi2sK479iKwzusihBCSukCIQskeBSlCSDrDcy8SU6fU+PHjZceOHVJcXBzRhkh6OWNMp1QyB0m7lc2R6B5jHtfoQ/szIYQQQghJJXjuRWIqSmVQHjrx+EGT3batNB4+nPRiT6JEk0wN+cvU/Y42tD8TQgghhJBUgxesSUwzpbKyssLeAEk/+EETmkx1uWTqfscC5nURQgghhBBC0p2wRKm7775b2rVrF3SZhx9+uKVjIikGnTGBZKrLJdX223zvAq8Or3i852l/JoQQQgghhKQ7YYlSn3/+ueTk5Lg+TidV5vHFQw/JhieeCKsLX6qJWKHG6/R4LF0uyXz8ksHd4/X42F1dwIvDK55uMLoSCUlvnn/+eXnqqadk06ZN8uGHH0qfPn3kkUcekX79+sk3v/nNRA+PtJAP1+6Sz7bslZHsuEcIIYRER5R65ZVXGHRO/E7OlSAFfKHnoZwx9hP6gZMnS0NNTVIKLF4ECLfHI3G5eBFTIhVE4iVkJdrdE87xMV1d4itN9uLwCscNlswCIiEksTz55JPyq1/9Sm655Ra57777pAGfRSLSoUMHJUxRlEp9QWrqrI8kOytLXlmySaZeOoqd9wghhBAHssUjdEEROzjZVl34NI2NIZ0xfkJAdrYStTbPmKGEhFi3vcf6V06bFtZ2nAQIr49DhBg2ZYpn0QjHINSxCDWelqw7WoSz39EmnONjtqwVNHJoavLk8PLa6jbex50Qklr88Y9/lD/96U8yZcoUaYXPIR+jRo1SznSS2sAhBUGqsalJ/VyxZW+ih0QIIYSktijF7nvEjsrh8TmkAFxPoYQIPyHA99xwBJZIiVQgCCVAeBUooiWmRLK9SISsRAiA0SCc46NdXf2uvlr9NH8P9j62Py8cRxUhhGhQsnfCCScEHJDc3Fyprq7mgUpxULKnBSn8HNGnc6KHRAghhKR2+d706dOlqKgotqMhKUUkpVrmc7LbtlVOqXjkD9kFgrJZszyVVYXax2iVq3nNYopke/HOeUpkBz6n4xOshM6e2eR1nF6ynpIhX4sQkrwgN+rTTz9VOVImb775pgwdOjRh4yLR4dTB3VTJHhxSEKTwNyGEEEICyWryYIFC+Oapp54qXsDVvc2bN8uwYcMk2aiqqlLCWmVlpRQWFiZ6OMQnYMQjf8gUSlTpoC/UGr/HUzRJ1LGI13EGcEjBkaYFQDiKUM4XS9yEJ/vrHu/XOp7HnRCSWnMHXOxDV+OHHnpIfvCDH8if//xn+fLLL+WBBx5Qv19++eWSTHAORUjmMWnSJJk9e3aih0EISVG8zh08OaW+973vSd++feW6666Tr3/969K+ffuAZVavXi0vvPCCmmQ9+OCDSSlKkeQjXt3FTAfNwS1bZPeCBZ6CqhNxLHTpWzTDsWN9nE1RKJmcWeGEkqdr9zyGrROSnFx77bVSX18vd9xxhxw6dEiuuOIK6dmzp/zhD39IOkGKEEIIISRWeBKlIDg9/fTTqkvMlVdeKaWlpdKjRw9p27atVFRUyJo1a5RD6lvf+pbMnTtXhg8fHrMBExLpibcp+pS//XZCy6rcxvvFQw81dzTMzo576Vs0RaF4duALJjxlegldIkspCSGhwcU+3Pbs2SONjY3scEwIIYSQjMOTKNWmTRv5yU9+om7Lly+X9957T5Xo1dTUyMiRI+XWW2+V8ePHS6dOnWI/YkJaeOIdrRyoaI8X9ytBCvhC4JPFxRVOR8W1jz4qg2+6KeYle5pgwlOiX+tEk2inGCHEG126dOGhIoQQQkhG4jnoXHPiiSeqGyHxAELNllmzJEtEel96qeMJdSQn3l7LqmJR+uQ2XtyvOhlCkAKNjXF19gTLZQp2DLQopMde9cUXSnRzEwejfUy9hNFnqhCT6U4xQpI96DwrC99uzmzcuDGu48kUPly7Sz7bsld1x2P4OCGEEJKCohQh8XYUaXa9/baj0BGrE+9YlT65jdcu7gycPDms7bVE7Anm3gp1DLQoBIcUBCmM3U0cjNUxzWThKRiZ7hQjJJm55ZZb/P4+cuSIfPLJJzJnzhz5+c9/nrBxpbsgNXXWR5KdlSWvLNmkuuNRmCKEEEISC0UpkrQo5xCuIusGkVlZjkKHlxPvSASbWJU+uY23JQJCS8WeYO4t8/6yl15yPI76d7PTnZM4yHKy+EPBjpDk5Oabb3a8//HHH5ePPvoo7uPJBOCQgiDV2NSkfq7YspeiFCGEEJJgKEqRpMVyDmkwiWzb1lVochNhIhVsYln65DZes2uc+bcb+hgcKiuLSEDTz2+Vl2c9V+8rHsN6zft3zZvnehztohqwdxFkORkhhARn4sSJcuedd6puxiS6oGQPDiktTI3o05mHmBBCCEkwFKVI0mGKTRA51j3xhFR+9pkqa0MQeMeRI9VyXoWmSN05iSh9CkdAM5dVIeMwk4UhoJmd/nS5YOPhw9Zz9bpB8fjxShQsX7Ag6HE0Oxw67Ueijmm0c8EIISRW/POf/2TjmBiBUj2U7MEhBUGKpXuEEEJI4sluyZMPHz4cvZGQtAWiABwz+OllWYgZm2fMsPKkOp14YrM4YmQVOQlNbkCMsLuAvIxTixnxzOIJZ7/sy3Y75xzpd/XVnpxgTp3+IEihY55T2V5+794qaN7LcQy1H1i/3k6ssb+fvLwHCSEkHpxwwglW8xjc8HdJSYncdddd6hYpDzzwgApQNzOrmpqaZOrUqdKjRw/Jy8uTcePGyapVqyQTgRB1/XlDKUgRQgghqeqUamxslPvuu0+eeuop2bVrl6xbt0769+8vd999t/Tt21d+8IMfxGakJK6OkEjW5fSccEvnnMQMt5Ivr6V1XjOnzHHCNQTRJtqB3KEIp7zNvmzvSy4JKy8rWKc/p3GE43KKRZlesPek22MtybCiw4oQEksuuugiv7+zs7Ola9euSjAaMmRIROtctmyZPPPMMzJixAi/+x988EF5+OGH5dlnn5XS0lKZNm2anHvuubJ27VopKCho0X4QQgghhLSErCZcPguDX//61/Lcc8+pn9ddd52sXLlSiVKzZs2S3//+9/Lhhx9KslJVVSVFRUVSWVkphYWFkk7YS7FaIqLYy8K8Om+cngPnEVwqWhSAkwcumXDXg/vtYojTfZFiH2fBkCFWJzkc0/7XXBN03NHEbb/cRL+WBKObpXvH3n67p3G0dD+i/Z6M9LFIt5dJUJgjJHXmDgcPHlSOqyeeeEKJTscff7w88sgjyiUFhxScU7/4xS/UsrW1tdKtWzf57W9/K9cbXW7T4TikW7dAhLMjC4ulhiQRTJo0SWbPns2DTwiJCK9zh7CdUjNmzFBX4SZMmCA33HCDdT+uyq1Zsyay0ZIW4VSK1ZJOcZG4S9yeE65jJlhnumD5RfZA7XCxjxPlalW6tKGxUb6aPVuFrNuFm1ic5Dvta7CMpkj2WR/nslmzBKq0zunyMo4ts2ZJlogq5wu27Wh2fQv2ngz2WKQZVuwS6C90x9MtSEi6T868Eq7wc+ONN8oFF1wg55xzjhKlNJs2bZKdO3fKeeedZ92Xm5srY8eOlUWLFrmKUhCucItk7CQ6gtTUWR+pUHaEsyMLi8IUIZkFLw6STCFsUWrbtm0ycOBAx7K+I0eORGtcJAxClWKFSySlV27P8SoKOHXS8yI2RdpZz459nPZjWrdnjyX8RSpM2cfabcKEkMJOqIwmryWWbmLSrrffVusrf/vtkMfOclf5wHPhsGqoqYl5iHiw92So92sk4limdwmMttBNCGmmQ4cOKu8pGHA2YZkGXwMLL8ycOVOWL1+uyvfsQJACcEaZ4O8tW7YEzaa69957+dIlCDikdJdA/EQ4O0UpQjKHaJ3jEJKWotSwYcPkvffekz59+vjd/9JLL6mQThJ/9Am0WYrVkg+tSNwlwZ4TSmRy+tAFurxMZzw5iUEtFWvs+6DHeais7KjIZ7B74cKIRSlzrGDX/PlK2CkaMUJyu3aVPkEEKrtIAtdWsC8qU+QDdjEJy4fjBoJrpmzmzID7w83daklWmdkd0P7+inZHv0R0CUxnoZsQ0sw777wT9UOxdetWufnmm+Wtt96Stm3bui5nF8O0+OXGnXfeKbfddpufU6pXr15RGjUJBUr24JDSwhS6BRJCMge69kkmEbYodc8998hVV12lHFNwR7388ssqKBNlff/5z39iM0oS9KQ+Vifl4a4n2HOCqf1OH7oq6sw4KYb4gRIz+/rtYs3ejz6SjX/9a0gxyw1znKBdnz5yyLiS3HXsWImUVnl5liCl8MW5Va5YoX4GcyuZrzEEqfIFC9Q+qvVlZakyPLdweTiysIzeHn43A+T1erDeoGVcTugxZGfL2kcftcYaTBxzeg+4iVVes50iLRUMtt1oNQ1IRaItdBNCmkHJXLT5+OOPpby8XE466STrPris3n33XXnsscfUHE07ptDdT4Pn2N1TJijxw40kBriiULIHhxQEKbqkCMksMt21TzKLsEWpCy+8UP7xj3/I/fffr66w/epXv1LBmq+99prq5EJiRzBhJ9yT8micdGMdOpOocPDgoGVcfi4hm4hi/9Ct3rJFCgYPDnAqmc9xykaCA6jy88+bHwghZrnhN87sbGndvr2UTJyonFMQpFpSumcG0StMocj3dzC3kr7fDChXNDWpfcc2sIxd5AvYTlOTJV7qLoNYn9ux2v7aa35/45jg+XiNzH1CMDzGpt+X9kwiiGNOziyrLDAry5NgGS1xxO3fE+3SdIoREk8OHTokZWVlUldX53e/vYOeG8j4/Fx/9/m49tprVQc/BJujGU337t1l7ty5lqMd21q4cKEKOifJC4QoilGEZCaZ7tonmUXYohT42te+pm4kvkRygu7Wsa2lNcr2fCG4fEx3kl2gspwXhogC0UIvh+dse+01qdm6VbmA8LjdpaTEFQfsQowfLlk4+rjAvWSO1e4QgdCCwPOW1nHbX7vi8ePV/bvmzTu6EHIjgpRe2NdjgvvKXnrJ2ie9HfzsfcklUlBaqoQ7sWVKVeEKOo5rY2PAOnBc8PPQ1q1+2+r7ve9Z4hxELDikdKdCs4TSnkmE7ZjjOrhli3od1j3+uLX/AGNwEywjvUrk9O9AHQ9jTPp9Ei+7tCnqBivd9CogR9vdFc2gekJIILt371bi0Ztvvul4eLxmShUUFMjw4cP97svPz5fOnTtb96PzHi4mDho0SN3we7t27eSKK67gS0MIIUkK52IkU4hIlCKJwcsJupdyqWicdKvMGbsDxyc+OOUM4VY8YYKUz5/f/BzbcqbopMdVMHBgsyjl2w5K+rQbKNSxUfiEJftxsgQ17TaydRfDTyehpSUn6PbxQSiq+OwzJQo1osNRebnaT6cwdfM1ddpP/TsELv073F3VZWVS7CsVMcvvtCPKEhN96HWYx8Xvp4gUjRzpNza7e0uXATplEuE1hPh4YO1aJTqWv/OO3/aPDqTJb59bepXILbNsl23ftUgWD7u0k6jrJHx6FZDp7iIk9YBQVFFRIYsXL5bx48fLK6+8Irt27VKd8x566KGobuuOO+6QmpoamTx5strmmDFjVAYVBK1k6jaHcG9kKdEdRAghzWR6pATJDMIWpTp27OgYjIn7ELCJznzXXHONuvpH4mvjtJdBQQRyEp+icdLt53zSGCKGk+AFNwhOvs3yOF3OpzAyj5Rwc+ml6qZL83YvWOB68m4/NsA8TuYHeoDbyCY8mUKLGSyOkHa7s8or9vFBkArIafLtvykaoWOePmZalHDaT5Q8wmGmj+cOXHnPzlYuL7dMKXtuV7tevaRm+3a/46JdVHq50smTHffNXgaIv+2ClnbA5SEoV6/XAZQF2oWYYVOmSKS4ZZbZHWfm+yvUvzMn92E4E4YAUdeldNOrgMwwTEJSj/nz58urr74qJ598smRnZ6sGMohBKCwsVJ3vLrjggojXvQC5g7Y52tSpU9UtGYEgNXXWRyrUG+HeyFKiMEUIyXR40ZFkCmGLUsiQuu+++2TixIkyevRodXKHFsRz5syRG2+8UTZt2iQ//vGPpb6+Xq677rrYjDqDCWbj1OVZ+kS3ds8ev3IpLWK4iVvhnFibWU44oUZ5GDqjQbzRDihzmyjVgygBB09eSUnAckD/3u3ss/1KzLyecNuPjVu5IgQTLYqZIpopztmDxf3yoGzOqnBfO1W25dDJziI72xLi7O4xjAcCjblv+DcIIUctb3cnZWVJ1bp1jplSEMZMYQgdAFWpnl6HFk18AlKwsGsIdeZrhPeCPn5+gpmIKtF0A50I4R6z54+BSEvYnERY7Lu9BNLtGNvX79YpMpxy2ABR1/eauC0XSkBmGCYhqUd1dbUUFxer3zt16qTK+UpLS+W4446T5cuXSyYBh5TuMoefCPemKEUIyXR40ZFkCmGLUu+//76ylt9www1+9z/99NPKCv6vf/1LhXM++uijFKXibNU0ZAdF265dpdTF8WEXcMJR4rEsHDyQS7R4BNEJ4y0eN85PzMF9X/37383OHWQYrV5tdcSDGwj5QeITVSBkmM4mOJPMkjXtoArX2WX/QMd2MIbyhQslv3dvJZI5OWL0McI4gjmrwskIspdtafL795fqjRstQQjr8Numw77bO9PpfcIxtkSopiap2bbNKr3DewKlgxibJWL6qFi+XK1Di4tqXUYJI+53e186iSKmCGcJbKY4ZqDzwypXrvR3UPnyx3BzCiQ3x+L2HnZy0Tl2E/Tw/grluvJa6qnHtO6JJ6Ru3z7peeGFIbsuBitfZBgmIanH4MGDVWe8vn37yvHHH6/mUfj9qaee8uuSlwmgZA8OKS1ModscIYRkOrzoSDKFsEWp//73v47dWtD95XZf1szXv/51+X//7/9FZ4QZSKRWTV0ep0/+tfhglQsZ7qFIlXiro5oPiAVwP9lFJ5xAm4KJye6FC61cIp2DhPW4dT9TpWAGcLmEI9jZP9BNl5aXEHN7+LmTs8prRpBjUHlWlrTv10/y+/WT2t27lXAEkc4sdbS7x+xB3fiJrKbBN93kn5dlhJh3PukkvzI4J3kIwpNeBqKhvYTRrUteMFHEctW99FJzZpWtbA3uqEq4ttQAmo9vTqdOUrdnj9/YzPcmsP8bCfYeNkXYAJHRNx6nY2y+vk4h8vo9YH9/aUE11PsT+43nBesS6TXkkmGYhKReptSOHTvU7/fcc49qIPO3v/1NcnJy5Nlnn5VMAq4olOzBIQVBii4pQgjhRUeSOYQtSsFi/tprr8mtt97qdz/uw2Pakp5M4ZmZYtV0Ega8ClxeQ9SdHCa73nknQHQyy7nsDpmuvvBtt/203w/HjplD5RSk7oRbWHa4x9deymc6uoJlBOlOdo5dCG0h4mbpXWV2tiX26bByCBamsGi5j2yOIogq9rJDt9fUEjENTEEF6DwqCJxwx+lt2bvkhXL2+ZUu+koT9bjadumi9tksO8zr0SNAlFKbNoLU7SV+2Hf7e9hLOR/20RRwnd5Hdkea/T2gS1kP797t+f0ZS0s2QzEJSX6uvPJK6/cTTjhBNm/eLGvWrJHevXtLly5dJNOAEEUxihBC/OFFR5IJhC1K3X333Soz6p133lGZUgjPXLp0qbzxxhvKcg7mzp0rY33CA4mvVdP+weV08m4KCboMD84cU4BwC1P2yyzygRN0k64+EcVPfPEBoUW7pNz2034/RBk4mkz3j9014xQ8bbp6VI6UT0xxKwd0O5G3dzTU4pDTa+YnEvk62bmVkmmBC13fELLtFzCena3cZ9rNBbTQgdcpoLzP97c9Dwmvg1lKqd8jep9UNzxf5lR2To6VneXXEdHnurO3NziMjoEumV1uYfD6bzV+X/knMEU5PF+7tJxK/nSQurXvDoKcfk29lPOFEoKcyj+dgtftGWD2f292tOvKyXnXEsLp2Betbi4UwQgJn4ULF/rNldq1aycnnngiDyUhhBBCMoqwRSmElw8dOlQee+wxefnll9WJ/pAhQ9Tk6rTTTlPL6DI+EhnBTppDnfyZj6PMTQVh207ecZ+9+5spCkCAcCLA5eMAcou06AThAIHedRUVats4SUZ+U6j9dLtfjdcQKYKVlNlD3033ir0c0OlEHiVluozOfC5wE1+sDnQmPoHJLp6Zoga2rRxLtpI7qzTPh/7dzyEVpKRQH0tgF41MB5UZ1m2N2dpo8/H7bMoUJfqY265csUKVc/q54kI42UyxUIldvnI5J4ef6h7pE7DK58/3c6FBGMLj+n4nQc4s0wtWzhcKL+KRY1mm8e/Nvi3LdWgIcS0Rhty6S7o5sKLZzSUZOsNQFCOpCDrtde/eXa644gr57ne/K8OHD0/0kAghhBBCkl+UAqeffrq6kdjhdNIc7OQPj617/HElFPg5XRxAuLKV4WPiEuBtjsksU9LbMsvQSn2Cj99JN8QE44Te6QTSnnll7r8SbdDe2kEM2/76682/+AQL7BvGpzrL2XAqB3QKqwbYt0pDrLPKEA0XjOkqgoilxDcnwa6xUfZ+9JFs/OtfHV87U5Sp2bGjOZ8rSCi4RgeXw7HUtrhYdUB0yg5TZXeGu2z7a68FuM20i8wNlNJhf1X+E153H+q+447zy1myjpeIrJo2Ta2701lnqZwUtxJA++sdEOBuK1XE+0iFsRuvD7r8mQJQMMehVxHDq3hk35bG7d+Tk/sqUiyhz/dehBvRKffKvn3rdUK3R4dS01TpDJMMohghkbB9+3aZOXOm/P3vf5cHH3xQiVIQpyBSHXPMMTyohBBCCMkIIhKlGhsbZcOGDVJeXq5+NznrrLOiNTbi8eQvoKObi4tJc2TfPmfxxHeSinIyJ3eHRucBgW7jxwd0zrOPFestOvZYKb3pJvWYvazOFHd0Zz6nE26n8aJjmwnENohJbpgn605h1Y74xDp7MLZ+TG3XEGqsx43l9ON6uzg+Hc88Uwk1KIF17fQXBL2vWB7r1yHi2A+4iJAZBUxBB+s9tHWr39/YfycRzxGfMOc3js8/Vz9bd+0qXY4/XnbMmWM9hm19dMMNUnzXXdJl3LhAoc33t9m5UG3GJthoMVSXlwJTLFL7uWCBX2C+U9c9HF84n9zcXHaxyl7+qkodfdiXdcvycgo+j2Y3FXtZLURNp9wrExwDM8NLNxyIRNRJdGeYRItihEQKcqN+8pOfqNumTZvkxRdflBkzZshdd92l5lLz4QQlpIV8uHaXfLZlr+pwyMwuQgghaSFKLV68WF3F27JlS4C7AifXDR5Opkn44AR438cfO5YRBYRsh6DHhRf6ndDDcdP19NNV9zac1CPfyOweF6w0KL9PHyUi6WUgbqCcy96lTAtSODlX+MaqXDvGCbW9C5ld3GrXs6cSOrwKN6qLm6980C6itGrXTnW8A1pUgLPHFG2Azl3SGVGhRL92xxyjjvHuDz5wdKRh3PV9+8r69eul/tNPpfWmTdLl1FPVGMy8q5Cvp28Ze8kYwOuHG/KnTFEFY6vZvt16Tl6vXuonXjM72Xl50mi7H/uT37+/VG/cGLD8kV27lCBld1OBA/PmSf6YMZI/cKCIcaIFQfPdiy8OWF7tniHq4H2g86fw+6GyMv8gfe1gy86WtY8+qv42HVgBwq3v35CTuGuKM35ZYb6cMCznJK7ac7TgyMvv3dtRALOLWKG6YwYjIM8sO9s190pTtXat7WD7O+fCGUe4GV2REMzZlmhRjJBo0K9fP9W1eOTIkSq7E5EIhERDkJo66yPJzsqSV5ZsUh0OKUwRQghJeVHqhhtukFGjRsnrr78uJSUlSogiscXJCaXLiPAYOrR5FTC0EwnCj3amwFGjXTpmSY/OQTJLgzqeeKKfMAZXFXKF/Fwrvm1h2drdu6VNx44BGVYaPCY2EcgMh7afcBYNHy51+/dL45Ej0mHkSKlYvjzobve+/PLA7fqOVf2BA0oMwf5pscBpnDhWEOysrKcQQNTCc1TJof1laNNG+l57rcjxx0v1kiVSfv/9zcf22WetgG+Tdn36BLjB7PvhSlaWHN6zx08cbF1UJE043r7XqmbbNrX/TjlbdkFK4yRI6fFgOygldHKrQYDb+swz1t8l55/v+J7AuLudfbYSPE3XkZnppUU1P3HSt09VX3zh95oClLa6ud90SenaP/whQKzCY+169bKESn0/3vd6n50yy/TfOqDfLdcKtLT0DMujZM8q+2xsDCrMWBlmJkb5aiSiTiw7w4Qqz4uHKEZILPnggw/kb3/7m/zzn/+Uw4cPy6RJk+R+fDcQ0kLgkIIg1YhmJllZsmLLXopShBBCUl+UgrsDE6eBcDyQuODkhILDaPf77ytRRZfS5RYXSy06ojm4bHBibYZAm2V42hVlL+lBDhJyekx3kCUC+f7Wrio/wca3bWvZrVv986cMup5xRqBLxhA6HfOWfGD9EL7UdsJwigWQlaXW7yRI4fggb8cvXDwUPrcORJWq1av9Hmqqr5dNzzwjvXr2lMNwbBnHDdv2czZB4ILg6BOzmo4cCW+/mpqUswkiCZwxeJ10J7+8nj2VIKXFGV0iB2GyxiYSekWPG+V1yLcyj2VOXZ3s+uMf/Zbf8+mnzq+b728IDPbyOdMZBodf55NOskQUHHMIUk7ZaMotZ6N4/Hg1Vut112PxiUg6B0y9b4HhUFT/Ljxklun3vJvgE43SM4g26t+Fx9B0+zGFAAgXWrKKOl6OEdslk1QEZXrIk0K21DnnnCOPPPKIXHTRRaoLHyHRACV7cEhpYWpEn848sIQQQlJflBozZozKk6IoFf/yFBPl3PCJB/rkVwlSvhPT/L59pXrzZmv5gkGD/NbrdKKnyjEN4QhlbpUhhB5TLAiJEYiOsrGeF17YXDZmE6sgaDidcC688MLAVdbW+pVBQRAwhYltKA8MBa4g+hw5jvtnC0EPik9kwhggAMHBsnfZMjlSWdksKvmOcevNm6X3hAmy0hwfnqs77uljqjsNehWkbK+FFpyabIJhmw4dlPhkiiU4xnAUmaJUVn6+dBw1Smq3bnV3SOnQ9S5drEwouPH2opzTJ0xWQoCyccRWVmmWDOp8KJQCur3HILghWN98X5sB6VoAwr+tnI4d/cW2rCxVWges1923flXyuWePVeap37c6F01vL0CoNErgTEEK7wF0nXQSfMxyTS8uJbcmAcFC0+3PsbsPdQfEZBOjQpUtE5LqLFiwQH72s5/JZZddpvKlCIl2NhSWQ8keHFIQpFi6RwghJC1EqZ/+9KdyOzKEdu6U4447Ttq0aeP3+IgRI6I5vozAS/coBFfX7tkjdfv2OTtZDMEHJ7g1O3f6PYzsHi85LH55Rj4xpnDYMMfMH4WHjKWAcYoolw7EgIE//rH/831d7XQZm3kyXTxuXIDzqF3v3n4n1HiezvrBfgWIETZyioslr3t3qyOdXfjQZW26Cx/G2rqwUOqrqhzX17p9e6mvrrZEMYgRI++7L6D8sgpiXL9+UnDmmXLgvfeOimNt2qhtYjxKePQo+OV06aJEHrtwpjOZ7GW2+NspBNxOU3W17LNnm2RlSU7nzkq40VRv2tScn5WdrRxZdlHUkdpa9aNNz55yBK4to2TQ7IKoj40TENHsXQzNwHTz35aTEGkPCQdqv8z7fEKjKUjhJ1xtfsKULdRe/5uEiwn/fp26/yl3okeB2u1zwhK2fKIN9ivUc1Kh3C1Y2TIh6cCiRYus3+GYQtlefn5+QsdE0i8bCstRjCKEZDJeu26TFBKl/ud//kf9/P73v+93gguXDYPOo1+eYs9rsrrVOWHkOdndEij10wHkOpBZncC/9JJ1Mq1PVnGir06sfcJOdmuXtwmCs33B404gDwkCTpV2nDiMNcDJ5BPC1j3xhCVy6JNpuG8gfuCDRTmHsrLUCX+wToHmWLHu1gUFKktKU1derm5uQOBQIoVPmLDKBV2w1m24OpzKLw98/LEUfuc7ktWhg9/zdXmiFlFUaLjvOGD77RGIfvzxsnvRIr8Q9c4nn+xX2miixL/Jk6XcCBjXwglKOk3hwpMbrKlJuWvM96El0vmEnJCClA9ss3V2tnjygTm5pVaskI9+8hMZ9dhjVgc/syzVLIdUAuvw4dbx1MclQFTVJZW6EcBxx6kyU3sYeXZOTugx686A8+dbZbLA73gbJX7m+O0CtRbQtHPMDHQ3u1iazQLcPluS1RllEvDvBuUnts81QtKF66+/XjnR+/fvn+ihkCSE2VCEEBI78wdJQVEKbYtJdHFyLZkn2KaIg/I01Q1u7VqpWrfOLxcIGTkQTOCmsoOTd8vBYXQM063gsR24OVrl5AS4U1xFmKYmaV9a6tfNzQQB3dlFRe473tQkNV99FXh3Q8NRwcUnDujQdSvMWY8vK0u2zJqlhDTkBsEZZYorel/gHkEAt2touA8sZ574Wm4g81h4cS+hbOv886XjmWcqwdZeflm3fr3s+u1vlXDneGh8IgIykzqNGSPb5s2T1t27S3bnzpJbWiqDRo6Uj264wVreTZDSbH/jDT/3EtaNk36Mb8+HHwZ0OMRPt2NlhuU7dSt0AmLeAXQbNARBvZ9Onf/CceRh3yFMme8NffzsJXW5Xbr47Sv+PQWEyTc1qdcOnQSxjP63Y36ZIYcq1DFXmGWYvqyxtt27+wuARuYU3lVuArVf5ltTk3IN6kB3HEOn50XSmc7tahLex3V1dZKTkxOXBhcBZctNTSlduserdCQY9m7GhJgwG4oQQiIjGvmtJAlFqT4uJ9EkcuzlNMCvbEWDE9FVq9TNyXGBLKaDGzY4ilL29eAEWZes6ZPjgI5cIYCLB5371PNcRIPGSqc+bMFRod4YkxG6DrFId0fz205Tk9+43Ur1UBYWSpBSq/PoFPICRI1D7dtLrUvp46FFi6S9UWrlNJZdCxZYWU51vp+rXntN2tpyt0JxyOZcwroPHD6sGhfU9+vnJ5Ac8gmdbjTU18uS665rXo8OAQ8CAvhVl0UX6vbuDbkOlJAerqmRug0bHB/fu3Spv9Dje18jyBw389+W+X7Vwe8mRd/+thw2s6FsQhfWpV1TwdDisVn6qbPG3ELX9ficRKSA/DWfqxDjcROfwi3Vc7uahBPmjRs3Sk1NjeTl5Sk3R6yFKbMcE68Bjk+qTiIiuUpHEYuQ1MluijXMhiKEkMiI5AItiT9ZTRFenlu9erWUlZWpK+cmyERIVqqqqqSoqEgqKyulsLBQkpWlP/pRyG5vCAof/stfqt9R6gbHlJnxEy+0OOa1a1urTp2kIZRoZnOZeMonSkUQtt2nj+u+5ffvHzRcPBhWJ8YQ5AwcKPV790qjvTud3Q2m//biEoukE6LPoRXUdRVkvTogXX/hdDvnHEvEwEfcqgcflL3vv69yyeDwcnu/5gwaJD3/7/+keskSKUdLdmObet0Qm3TnSycKjztOBv/kJ+p3nRtlZYT51pPXo4ccgkvQJyz1u/pqVUoJlEvSV1arQ8j1/Uqs1sKU76cWOPC4KT55ETW0IxN7CIEZy2+eMcMS4PS4amtrlYCJ44Kukf2/9jXpNXGipAqJFnjwfnM6rm7YS2ppNU//ucP7778vJ598suTm5kqykipzqGhlN6FbXTjZTYSkIzivmz17dqKHQUiLsM+RSfLNHcJ2SuFq+cUXXyyff/65lSUF9FXzBi9OExKUw7t3B4RY4yTWPAnGCTVOWlAWZWYLxRuc0OLE2YsgBVwFKZRa2d87vveWXbSx50KFC3KGUOoXLBsqLjQ1BRXbqj04u9zI6dbNkyjl5jwKEH9snRmDEq4g5ctwUm6qYO+jIOvVAelYB/K1UCLX/JQmWXz33bLn739Xf6PkDeV62fbgcx9tOje3y84fM0banXaacrOZbi1kS6nsJt/nXVZOjhSffbY0nXiiHF65UtoOHy6jrrlGdr/zjmtOF/7uceGFVgaUPZwcoKwWj0Gc1uWSputJl5maX65mTpSZRefmzLEHiZf7tmWWO+qrSSjZq//002ahLjtbPn3tNWljiGGm4JNoASgZswTCvUpHq3lmUV5erj6rli1bJqWlpVJcXJzoIWUszG4ihJD0IxWyVDOdsEWpm2++Wfr16yfz5s1TJRxLly6VvXv3qo58//d//xebUaYpbidzdvJ69pSup5/u6MyIlrASKsDbjVCOLs+EIWZCkGrVoYM07N8ftnuoaPhwaTdggOx65hmJNS0Vz8I5JnYOOIXLeyS7UydpdBAPs3NzLfEnmiArC7h2eAwDuAV1thREgOMfe0z2vfGG3zLByjhz+/aVvX/+s7Q97jhp2LXL7zF0NyxfsMBPIGuqq5Ndc+ZIUfv20vkHP2he/6FDfqKCH1lZSsTqDydVU5NsePLJwHDyDz88GrbuC6rXj5lfqjrjSTeZ0OBzxAqhNzLZ7F/GqizONjYIXU7lflh/602bAmrygSn46MD1lghA0c6uSgaBx6mMMph4R6t55lw9vPHGG2XmzJnWBb1WrVrJZZddJo8//ri6skjiC7ObCCGEkBQQpT788EOZP3++dO3aVbKzs9XtjDPOkAceeEBuuukm+eSTT2Iz0jTDLMXByVvJxInqZNrpRBZOKGTThA1Koo45RhoOHw7qmoFzpLqsTCKlogUCSKSEK0jhhBvHQHWgM7rQxZL6gwcl5YDw5OJmi4UgBep37Ai4L6drV9Up78jevZGJVb5Sw+2vvCKN1dVBF0XJXslppynRbRPEyuxsqXrtNcm25WAFKy2s/Oc/VQC9cli1a3c0pNshA62mrk7eHj9epLb2qPiUlaVEIogTRaNGiTz7rN/6N8+c2dxJ0CfSNDY2ypdffqnK6nTGEwRiiByH8G/Z3G5jY4AzB06qAEHZFyTudjWpy6mnyqZnn/Vz+/iJb9nZUjZzpuX+CiUAOYlPsciuShaBxzyuodxb4WaBkdTkhz/8oXz66afyn//8R0499VT1Xl+0aJG6+HfdddfJLLtwTGIOs5sIIYSQFBClcDWvffv26vcuXbrI9u3bZfDgwSoAfW0kwkmGotu76xNH3cnLLWg7olbojY3SfsgQKX/rrYCHUP7T1NionB5eAsCDUeehTCzhJKKzUZS32bqkRBoPHYooPN4zEEqSgLrdu2UPXElNTZKLUkSba8kTthB8N7pecYV0LSmRdY8+2nyH79+kmbMFkQxjciUrS5XvgcXPPqsyl+DS2vjEEyrcXItkeb17y4H33nMcK0SiHXPnKmEGAlftunXWwygHXHjttTLW143u0xdekAPLlytHl4wZI1/NmSOf/uQn/qK27/Nl4I9/7Cdq+DmpfLTr1UuG/fKXQcUPiGLYp8qPP/Zz95jiG8pidalnMAHILj7BfXvkyBEltuE+gJ8QrSree89TOaCb88he9qjdqIkUery4t2g1T39ef/11+e9//6su7Gm+9rWvyZ/+9Cc5//zzEzq2TBemmCNFCCGEJLEoNXz4cFmxYoW6gj1mzBh58MEH1ZXuZ555Rt1HImx3HiOcBKmIRS6SMHKGDJG6NWs8i1f5KPf85z8lpfGJG3UtKYEMQla7dtLhG9+Qqn/9S7b5BCU36g8d8vu7ba9eyjmmmgv4BBnkS+nMpX2vvCJ5J58sOUOHoiuEtcyRYKIfspruvbfZOebgDoKYtfLBB6XouONk2733qvvg6Op5zz1SuWWLn8jRddw4VUaITom13bv7lfgpUcYWGt/jG98IEEVMJxNQIlKvXpJXWirdfJ/1eM6op55SnTGVm9NXLlh07LFSetNNrsIP1gvRCcHpez//XCpPPFFyTjzR/xi3bSv73n1XPrrhhpDlgF6cRyAa2VL6uGBsuvNhuOtJFvcWSSydO3d2LNHDfR2DdCwlyUcyduwjhBBC0laU+uUvfynVvnKYadOmyTe+8Q0588wz1eTqH//4RyzGmJbgJCbSHCeSeLLgNPMi7GVlKfGjKUQJWShBSurrPS8PUePI9u2SFkDsyc2VJkMUQuZVh3PPlX0t/LxpVVQkFR7LY+wlgIVXXSWdx46VqkWL5MAnn0j744+XgyhdNtyPNR99JDXLlknRt7+tHIkFJ5wgB1etchcLGxuPljK6uOy+evVVOWhzpNa++670uPxyv9K6/AEDpNxXirgVYygqkr7f+IYSpgIEcbi8bMIfhJfP/vY3qfzoI1VOOOTb3w5wMKFLGJY71L+/5F18sRy4/35r+8EEKZ2bc/ijjywRD+Ja8V13qcfQ3Q8OsIFXXikbZs70E9tQ4ghRDSJOp7POskr/vDiPopEtpR1ecPFh7KbApbfhRaRieR7R86nbbrtNZsyYISUlJeq+nTt3ys9//nO5++67eZBSsGPfK0s2sWMfIYQQEmtRCtZyDZxRq1evln379qmretEIpU0X3EpJ9P1oE09BKnXJLipSWV0haWpqkSAFvDqkTFQpmc0Nk1KgLbrPVWSW0am/9+2T1gMGKLGnRW6wCILkswsLpeC881R21OHDh5W7p7Ph8IG4YuEr2asrK5Pe994rAwYMUIIGODBvnjSGm4vm236N7X3XKjvbr7Su6KSTlJhkCWTIepo/X+pKS9UY8Hk04IYb5MunnrLeI51Gj/ZzU6EccOs991iCUadOnaRtaanaZziYtHtKO55wPCAq5W3bJl1PPVU6nnlmQAB78yFpUsvjOFR/+qnfGHFMapYutbZZ0bt3gKMIJY5aCML2uowbp76HvDiPInUnmY4xvb8QzszsrLKXXlIdE8NxYWVqeV60g+xTmSeffFI2bNig4g969+6t7isrK1OC7+7du+Vpn9gJlvMCVtLCjn2EEEJInEUpJ3DCQtxLSdCRqgEnMjt2yI45c3io0oD2Z57Z8vK4tm1FIi2jDCU4tW6duoKUB8Fo/0svSVs4yCIQ3hBsXrd+vdQHy4hyofHAAb9QcxOU60EowdiwfgVEmKVLpe2GDSIDBqiT8U5XXaVuKF3bP3Om1G3a5LwPDvvW4ZJL1E88Vz/e/aKL1Iltba9eIr16yfYlS6QaOVY+sQc/2yI0/sgRWbNmjQwZMkRyv/UtKe7USYmXeOxAnz4qOB2iFYQCJ1Gre2lpgLiAG0QqiFUQiJANtWnTJtm7fr0VVA6w323atFGPaccV3FBKxNPb8ZVrKndcq1ayb+lSGTZlipUHdXDLFtm9YIEVqo6x14wZo9btxXkUiTvJKfsKP/XYrQwvCHBR7vCXjuJNLILsU5mLLroo0UMgUYAd+wghdoJ12CWEREGUQuneb37zG3n77belvLxcBdOaaCdAJqNDzHXgsD1UmKQHECFQohWx+HP4sHL7HHzvPWkIN8jb58LJysvzK23TuHXQSxTIuXLqsudKiHJFiD55I0d6OvaqfBJCiBY9fKKG7nrndgwd8a0DgohdlNKfhZYgZQ0gS3Z/+KFU9+unTso1/S68UMpatZId//u/AZvpf8MNsr+8XFpDeEOJ3qpV0m7ECGmLznwiSvzSglIVHBY+VxnEKl0SB/JGjZKCc87xGyucrdrdZN4PYUmX5VkdAH3Hqc2xx6rH9XLo+rdt2za1HohScHmgAQaEL7PMz1wO68XfGu2uOvLFFzLga1+T+vp6+XTZsgAnk3YUYYKH4Hr9OPYd29bimBfnUbjuJO2M0vuD7z8IU8ccc4zs691bCWd6nNrFFY2MqHDEm1QSr+zHU7/fMpV74EYkKQ879hFCwsm5JIREQZRCC+OFCxfKVVddpTIQ4j0JfuKJJ+R3v/ud7NixQ4YNGyaPPPKIyrRKJlCa59cGnqQdNcuXS4fLL1eZQWaOULggayind2+pibC7nGcxxUfrbt2kPtS2ItgflDOqroDmc31OHghvcAbte/75ZneZgwMIwhEynlSuEro5hhKbsrLUsbNK+Mx16t99Pwu//vXmZXxjyzvxRKmDeO7723rcIG/0aMlq3VoOLVrkv27DeeTEgblzA+9sapL6vn1V51ITiPoQmQLKELOypPbAASm94w7Z5Xut7AKYXVDS6LIy7XBq0717wHIdOnSQqqoqS2TS6LI8iBxdx4+XY6ZOlSp0+Bs+3G8dWA5ocQHrQcmR6STSYpUpQkCQglsKwpW5H+ge2GnQoOZt//GPUrFsmXQ8+WRVknj0EDZJhzPOkBGPPtrsQjrjDJUp9dVXXymXWKxcNxiT3h+se8uWLda2Ss49V9004bqwoiHepJrzyDye+KnLQFtKKglzJD1hxz5CSDQzLAnJNMIWpd58803Vxvj000+XeIMg9VtuuUUJU9g+8hYmTpyocq10HkMigVPi4MGDUltVJRkNSse8BnP7TvizO3YMyA5S4KSlru7on/37S+vu3aX2yy8ly+cGcXPgoEwrwLmSlaUcTjhZR7c0N5EkFBA2tNMDjhVrXXoz+fn+wpHLNpTbY/jwZnHLBfux8XMdZWdLDsrC7O4c3xjseVb5LmWH7U47TVp36aLGAmGj6vXXXYUpCFvWenz71eXGG9Vj2r1j/q4FDQhTKHvzO14+AaXrLbeo5SynTzB829Tr1us0t4v1Q7RyWsbtb2QaAdNZhPEE2ycv4NgGWx7HBZjH80ifPpYgFQ72kjgn8Wzz5s2uJ+74DIPIAQGp4NRTZfD//I8SYkxBrUuXLn5lexoIDRCcIIzg+RCMIFZhWzpfyhSkNBBbIFahfPBw797SqndvwScoxCaUE0JswLrUtvr0kZw+fQQ+wI5NTdb2Y+W6wZixP/hcx3EItq1oZkR5FW/s4hWOB5YPV8QJ9Xe0j6fpmGspqSbMEUIISW/YYZeQ8MlqMutJPIAr4W+88YYce+yxEm/GjBkjJ554ogoH1WAcyGV44IEHQj4f7gB0oaqsrJTCwsKojg0nc1988YWaIHs6sQ4Ty4mSQJTIgZNKQyTyX+CoM8YUPlT3uLo6JSY1+cQqnPgD84Tf6ZhZ6/KdZEMEsp/ghxIO7A4dcx3mc2vXrfNbLkDUyc2V7LZtpeDccy0hwW0c5hjt43MTP/T9cE7Zx4uxwZ0FMQwCilWi5TsmwC/LyHfsnMQW63gYy5n741cC5iBM6ePntr9eCXa8zNBr5W4aPTrgPRPJNmON/d8+BKluv/iF5+dGY9/0enqcdZYKNw/nI75169aqjE4DsR/CkhMQZVDGhvI8LYbg+wHCE7YJUUnTo0cP2e7QERKiB4SnQ4cOWaKPfRtuAgbGhjBo7crCWLC8kyCB8ej1YJsYoym4mI87rcP8fMdj+N7J9oni4aDFHu0YCyb6eBGG9HHWYw82NnPbOtsL+woRB0KlmZulHw91XJNBRMK+rzc+9wYNGhR1cTKWc4dUgseBkMxj0qRJMnv27EQPIyVL+KLlniYkE+YOYYtSL7zwgrz66qvy3HPPSbt27SReYDKN7b300kty8cUXW/fffPPN8umnn6qSwkROqA4cOOB3UqVPrBts7p9WHTv6nVzD0YHuXOYJOBw+WA7ihHZ7OIo2WL5NG2ndqZPkn366n3hjAmdNp2uvbR6nb0zmOEwxBNvzG5ODcOEkAtmdKZGcYJvHTI8vGuKHfczB1mFfLlpCQbTH6/Y4BCctXjkJZ5Gs301IizWJOvbpPm6IEhAB8JkKtDPGCd1xzo2BAwf6rVe7rHSJnylWwQllCky9evVS69eiVrBxODF06FD1HO3K0tsyRQ4tNllOK2N/zSB25dLyPY6x437st9lB0BTZIhE+TDFGj8GL6BNKnML32datW62/0cmtoKAgYB16H+2vqb2kEs+3C4T2cUbqpMLzTNdZNESkeDilKMbwOBCSqVCUIoQkjSh1wgkn+E3yMDnH0/r27asmtCaxaluMq+w9e/aUDz74QE477TTr/vvvv18JZGvXrg14Dk5GzJMgHBScCMXaKRWrE1nTTeMkDkSj1CjcMRFCUg+IDHAvQayBuGB3SDnRrVs3v5JCPAc3CB1YHz4DTbEDghW+N7Rwgce1MGWKViZYn1uZH8C6MA6ILnADYZ379+/3c2FB5MBydjHKCSwLTKeN3o65L+b+hSt8aAHH7h4zMddpCj4gmOCCMWGd5ljRXRHllmYpHi6amI43++utHWl2p5QdJ2eV12PhJMpFS0SKdaYURSkeB0IyFYpShJB4zKFap1rbYvuE07ySbQclfffee2/A/ZdddlmAmBYN9FXgFvHpp7CjhV4Oy7gth3WEu75ojIkQkjLYM6Gc0MIPfuKE31w+2POxPJytujMePqN1SZnuUohOdl7GZXdQQciAqOL0eau3i3JAe2dYpzHmo0TXtp5gji29fi2yuZXwmY9hP/F3KCcYxoLn6OXxO0QgUxzS+67BuEON1elY4H4cY70d/VqZ+4PHsG37c+37occdCqzHfM3t+5LMuImkLQGCKaIIFi1aJDt37lTHFYIrLrrdcMMN6gIaIS3hw7W75LMte2Vkn84qiJ0QQghJVlqnSttihOu2atVKTd7sHawwkXPizjvvlNtuuy3AKYXA9FjkQtizLRLByh2H5Mvdh2VA17YyvKRd0MdBsGUJIdEh3NK0WKBdJF5DpiE0wHXjFzRuAEcNHEp25xOEFDwGV4zp4MH9+PzVpVpmyZwpVMDBhcfsY8e6zLK34uJiR/ePUw4VlofTVju3zDwn++c2nDvYLzfBDQ4wfTywLXz/QJjBts28Jmyza9eufqV19kwsfH+ZZYfYR/t3iBkUb7qLnJa145TlhXEhxwt4yazC8cFxtr+W2lkViVMq1QLJ9VW+aPH++++rJi3493DeeeepG44P3g///ve/5Y9//KNqKpOIhjIkfQSpqbM+kuysLHllySaZeukoClOEEEKSlrAvUy5btkxd8UTouMmSJUuUaDRq1CiJBZg4n3TSSTJ37ly/TCn8/c1vftPxOZg4RzvwNNQYzXboutwjGiekocQmvcz0xbslO0vk3S8PyLWndLWWxWNLNh+U1TtrrMeB07LhjkPf16ZVlhxpaEpJkcvL8Q1nuXC3vXTzQcE7ZEzf9mFtX7+uOLUbbXtuqLG+sapC1uyqkSHd8uTrwzp6fo953f9EHtNkIx6CVKjPGWQC4XGIJl4wP7+cBBq9HnzuQfDBZy3EHt1Jz55FBREDpWZakMB4zHI2ZBlB3NFCiX4+Pkv1fumfGA++b0zBRpejYTvm83XJmc7Rwk/zewHLmkIWRBwt+uA+U1TCctiePh5asHHKZ8IyboIUjgFKEHEzhSHzO0SD7Znldrr7H5YN5lbD+rAv9vcFXivgpdwNj2EbEOLM0kscn3CD2nXnvViW2aUKt956q/zwhz+U3//+966Po9Mw5luERAIcUhCkGuGAzMqSFVv2UpQihBCSPqLUjTfeKHfccUeAKIWw2t/+9rdKnIoVcD1dddVVSvg69dRT5ZlnnlEnBLC6JwP2STfA7x9vrpBPN+6WTq1rPJ+cAy1UlBS2kbfXoUl6s4DUJb+VXHhcp4B14bkQmRqbmsUm/K2FC4hVGjxu/o5TA72s05i06NEqW2TF9hr1uxayANaN+7Ba/diw7nlKJNHjCiV0mMKKfo4WufBzZ9URR9EmXEHMTdQxxTq9X/b16n3Vy+l91OtxcqCZ69lRdSRAPIIwpF9bgHGY69Vjxnuh6nCDbN1fZ21/RI889XpoVu2skaHd89T7Bcdrlcs+YVxl+2qt7W6rPCIb9hyWLfvqgoqUTqIn1vPJV9WSn9NKzhlS5Ddm/Z4z1+d0/PX7B8tNKC1UAlmo187r+yrZxK5YjimU8AWXSiRly6ZQ4iR84TMOgoUWm95btU3eW7HDdR9NUcV03KCEzC58aPeR3Tmlv3Pg5EJ5Gp4PkUyvq6SkRO0vwH3YHpbXHefgFDJLzsx9gsgDwQVjwLJ63zFeLcZEWuaFdcAdo51lpkCjRRy4zEx3GsaA7xD9vjmpb0frOdgPLIPgcHsmmF3Ic+rYF45jSYt2WgQLdsHHzRVlFwQzlZUrV6qmMW5cf/318tRTT8V1TOlMJpaxYV/hkNLC1Ig+nRM9JEIIISR6otTq1avlxBNPdAxDx2OxBFlQe/fulV//+teyY8cOGT58uLzxxhvqCnuyYJ90L9+8X+6d9bE1MXBzJNlP+E0gVJjsqW5Qy9rXhRMWPFcLU+bJuxaNnMD9+2vqHYUeUzAxl9dCFtDb048BCCK4aTAuCCYQlfSYTKFHo5/jNl4cC73fdkHHFMvcnEGmuNe1fWvZfbA+QKB7afleOVjnn6OC5Xt1yPHbV72Pej16++ZznPYFz2nbOku6FbZRQpAdvd72udnSOb91wDJ6+6YgZR4f8/2iBUqIWlinHiPWbYJt4DEnQVOLo8AUPeetqVQiGdh3yP89icdM/vnJXmsMpqil30N6/Xh9enfKDSmI6eNqFwc1zy0pt46PFrvchM2WEK5zzM3J2FJMsQiCRefOndVnZCjRBAJJ+/btLWHJHOvmfUfkrDb75bTB3S2xHQIRfsIBZC+RgwABQeq+Vz6z9vFHZ5TIxDFD1Ph0lz18PsL5o0Uk/I2mGbpzH8ByOoQdAo6TIwiPQYjB+PVz9bpMN5h2Wmn3EZbDvkLQwfHQYpAG69AXFTBurE+HiSPgG6KRlzwuDdYFVxj2H9uGe8kME7eHi+u/NSu2HfR73/Tu1UsGZWX5nWiPKS0N6G5o3399fPRx1a8Zfg8lFNnzv/C3vcOfCdapj7fXbWQSEE2RJTV48GDHxz/88EO1DEmfMrZ4C2PYBvYVDqkRGSTGEUIIyRBRChNLdGDSrbQ1OAGKR2jp5MmT1S1VLdRbKupluG+uiRM8XK1XJ0mGy8krs5bvlbK+tZazBCe4OPlGSRbEDH3CD3Ep1GpxAo8TUbtI5AbWp90/XsdsCiZZhlDltn439H7ZBTM8xxRUTLBv9uVNQcpch12Q0mgBxo5eTzDRz87h+iZHQcrkYG2jHKwNvowX8Pps2VfrNxas222cWB7HC0Klk/Cll9leFTg2feyr6xr87j9Q22gJjlr8e+uL/ep9aue1zyuUe+3A4QYpbNtKCU4QtPRz7ePVIp52WUF8tI87lBst3FJVU1B1cnk5PdfNyegFt+54+Azp3r27X5kYhCZddhVMOIEoAwEEmK4hUzx7Z93Hcs+lJ/m5c3Q2lBbBtNiEda3eUGl83onsPpKrHFAA3xlaODEFKPyE28kuqGjhBOvWnfxwHPRzsT1dpmcKTliXud/IVcIYTbQwpV1Z+lhpF5V2DmnHjxbzsB38jmWwXRw33fnV6TXX68Nz9P5hHRB1TNHG/jcCzPU+rNl+9EIDju3nZRWSlZUdcKJ9SulAv46D2CeIYVoMcuoAaApwwUBZpVkqib+9uuv060SO8rOf/Uw5vD/++GM599xzVS4ZjisyMxFJ8Oc//1keeeQRHrIkLmMLR2RKlDCGbVCMIoQQkgqErSJhAoUA8VdffdUK/kRL7rvuuks9RoJbqE8Zio46zS4SnKjok60zmnbJu19+HpYwVV3XqE62P9h4QE7vX6AcJvg7y1eSZQo/wZxSGpxQ7a0O3hbeRG8rEvRYIDw4EWy8EMPc3F84dnjcLh68umJfyDHlts6S2vrQB78gN1uJLKmEm9DmBpxP+w4FClLmMW9wWCWON459TYjtNfneo7jZ2VNdr24a03EXDO2ygigbCi1kwa008pgCaWhocHTVmYKTvSQSwpZ5PPT2gZMjyu5kxD5+UV4rI3q2D3AwmZlIwBSktDigs5JMV9DaPUfkP6s/kb4dW8uofp38Mo7W7q6T9eU10rdTG8nNyZH3t22UkX27yCmlxdb67AI5Prfe+2yjFB4pVOKC6WjSZVlaoMGYR9aXyytLN1ufd8f2KLSEDFOYMQUoiCcQOexZShrcj7FpoQifmW45TPiJdZmCnHYomZiB76boZc860rlS/u6xCuUew5j0NpxccJNOH67G4zZGt78xdlz40Rx93xwtw3E70dYh5k65TToPS2/HLsAFA+Lbscceq8QzL932mB8VHFxYg5sRmVJPP/209fmDnDRkZ86YMUMuvfRSCQd08sMNbj4wbNgw+dWvfqUC1QFee3QjRuxBRUWFimB4/PHH1XLpTCzK2MIVmZjvRAghhERZlHrooYfkrLPOUiVzKNkDn376qbrS9/zzz4e7urTHbqHGCeDGjc1X9s2TrbOG95J9+/bJ6m1V0q5tG6moay37DtZITlO9dDcypYBdjIHrRp8Q20vpsOzOqjrLRYTHkEmFEkA7m/Z668pl0tL4ZrNsEKCsbEyf9koAQIaSk0MJj8HlYi9z1Ohj5VQKGYw6D4IUqE4iQSreAlmTi5hX3L6NdGzXSol/ELQSBdxXrVt5l0rnrqmSnj16SEfZ7+iqMwUnjf73hfeneTxwbr9i5xHZWVHtWAqJ263nD5K3Pv1KiVvaOehUxmcPCdfAKQQBBSexWrhyEkbe8Q3MnvGFk6h3fA4ndUK1dLPccFZPGdS5tVofRDKIZXrsOInLampQryvEEWzXLP1Cud7q7VV+boFTBhVL9aFqGdWrnXSWSvnyy1opb2gvKzbvlW5t69W2TODmgcgBgUs7fT7atE82V9TLqUN7yVn9j/ETTuwl0k4CiBmirsvWTGHKzFmyi17mMrrTH8ZjHb91HwechDq54LBPep2L15XLZ5sPy9CeHeTM/j39xoy8qLnz1siIPp3kpEHNYfT/fm+Fn+sK75F99XmSl5ujTnBzW7eyBCn7ibY+Pk5OjpaIRdifYCV7dpgfFTqOADeItXv27LG6DEeS+wbwnv/Nb36jPh/Ac889p5rAfPLJJ0p4evDBB+Xhhx+WZ599VkpLS2XatGnqQiKcfuG8rqlGLMrYwhWZmO9ESOawc9482bN4sXQ55RTpfs45MXtOMpNu+0PiQ1ZTBG2hcLX0b3/7m3z22WdqQj9ixAj5zne+E/FkKt5tnSsrK6WwsDBh47B3JTLvP5rJ0jzh0SeMq3bUyJLNB6xcIKcXrUN+juyvDjyZ1cvD2dGzQ1t5a02FJ+dUsoJsp36dc5UjCq4YJ7dNqoBsKYiKTuA16t0pRxobUSJ4xHE5OHiWlSEEPXFCWZf81tKjqI1rqV8qHG8zCF45mHbWePr30adTjpXHpZc3Q//x0xSdIAhM+dtiv9yvPp1ypU/HHL+yL929c/mW/Y4lYdrZs2jNDnnnkw0yoEuuWu79jQcs0ey4nvlyw1nHKNHq9dVVsmDd/maRyRgrBJQz+hfIN0d08hO1sA58Xhzbt1j+uXiLdZ+5L3BlPfPeduuz6vLTB8rMDzYELGsKYljurotHSM+2tUroQTnzmSP7K+eRZtHanX45fOGUuujPVnwXvfreCiXyD+1ZKN88c4S8t3qbfLiqTDnF9D7g4goyqXAslYizeY8M7VkkZwztYWU84bV444sD8uZnO6yT0ItG95XrzxuqtocywKOi1dF9h1MNTiQIUtpVYd8f03GhH2uSJt/+H13Xyf07y676fL/jguNdV9/geKLttF6W8aT+3CFcOnXqJL/73e/k+9//vipjRUe/X/ziF+oxiLS4mIgGNQhWT+fjEG0i+feF5zDfyduxzbRQ+mRn0qRJMnv27EQPI2XEmGXXXy9ZrVpJU0ODnPz00yFFmUiek8yk2/6QluN17hBRCBTs+z/60Y9aMr6Mxu0KMu6H68C8Arerto18fdBAGTq0jeyZs1K+2PWVeswJCFKlJUWyfkel3wl1s0sqSwYe01VtIzurwsr1MU+eTWA2aTDubJfTSg7ZcoISBZxT2yrr1D6cM7hItlX6h2qnCnmts6QmiDsLj0DwKGyb7SpcOQXRxxt7uZ0TZvmbk7BT39Ck8qU65LWWLRW1IfO2ImVAl7ZKEPJzOPnKO+Hwcvq3kJ/bSqprnd/7GKfetx1VdVJxqNk9hfVAqDvv2A5KnNi4v0k27KmVdXvWBZS8Iu8LNx0MPrhrc/7O7oYCmb54fUAZoO4mp5oovLS8+fENzcfYLP39fFu1ciidNKiXnNmmQuavPSpoaLD8wK55jm6f4qJcaWjMcszEw+dXea3/Y8u+LHfMzILjyVwOGUlt+nSS6YvXqr8xLvOkbsWWfQEuBBDqRMXs+LZ+b7089e4269jtb8hTgpl+fXGs/mdUDz9BqvkkU+SVpSI/2rNbBndpvsgCUa+47RFHZ5LugIeMrd69K+STL8ulc5vm/cbz8DoFc1XYH5vzaZnsrmouTdblk3BIQcycO/cLv2UhSEEYc4LlQqkNhM7rrrtO5s+fH9Hz4Wh86aWX1AVEdCqGwIq8qvPOO89aBv+Gx44dqwLX3UQpfNaYDkNMLElk7ivmO6VOKD0hkQJ3kBZj8HPvkiUhBZlInpPMpNv+kPgRPBgiBFC7dNttEh1w0mWe/Izs00VNHlE6ceKAbtZjAFfK4Y7S4P5OBbmWCGXej+ed0L9Yhh3TwTppxHLfPqWPjCkN/NI3BakTerWXy07sFLOXuEfHdjKiZ/DgXDv65PuTr/y7QsUKdNjr1K6VJxfXgG7tlZAUimCClEkiXVDRAo42lFxCDHASdoZ0y5OrxxRLabd2QQWprBZ8cKF0qqyiNkB0wt+65NDpFXETpDS7DjYosc0UpPATghTECbhoHnpznbz20RZ5+r1tVlmqEx9saC4jhKAx55My9bv+97pxT61fNzW4epr/bTdvE8cY7z+NCsXesk99fsCJhM+L/t0K5Mwh/l294MyBswhurKNleyKnDu2tMqfMzyO4mgYNGqScWsfbHoOj03z+GSP6qeXOGtk/QNBxE56cPgNzWrdSJyqvLt2sfuLExQkz8BwOKTMXC4KZPf8LziPtVG0WcY4eawhn5oUDXUJ34Um9Ak6U9EUGHOPJE49TriagA771/jQLTc37Y99X/RhcVRt3VVnvI/25jW3Yj0uwbJxwliXJB4LuFy5cGPbzPv/8cyW04v2IIPVXXnlFhg4dqgQpAGeUCf7WjznxwAMPqKub+gbxlTSDzwCIwhRNooeTmE5IKoFyNS3G4GfnMWNi8pxkJt32h8SPFrXLi6Dyj7TgCpz9MbC5vEoWry+3vsjPP763upnLmOvCa3b+uq3y+VcH5LhjCuSH5wxTJzzTXvpY3lvjPDndsrdG6o40qBNetw50Re3aSOWh4GV0yIty6vrWo2Nb+c7IAlm5o53qsmZ300AQcuqUB8IJZm8J2D5OVoPRphVKKNvIsL7dZOYHXzouY3egxQozWywZSjVRYonypt4dcx3HozPRlpU1d4B0Q2ej9eqYa3UU9MrqbUdzo6LJgcPN7w0tDiFbq3vhUXEITqEs4/Vw+zcEWrVqltvg9Fn6ZXPODMBzS7p1kQVlR6RHO3Rm2yBdc5vdO1g3PorNMla7GAEhp7m0Lks27KyynoNxw/106YRB0qdPneS0WSNfbG8ueTtrWHOWE8QsiDonDyj2K7PTn0dw9zQ2NEpJQZYSbuCQOnNEfzlr+DFqOTzH6TPNLXzY/jnn1fVjholj/GY4OMb+5U4jly9LlGCn9wd5Ts3jaT7WCGjXgeG6mx3EJjiWguUwOWU2Yay6tBFPxc8hPTtYzgn9mAavC5Yb0K1QvntWqbWvwb4b7CUvbAef3Dz66KNBH7d3i/TK4MGDVcYnms/861//kquvvtpP3HLKTQv2fkZTm9tuu83PKUVhisQKZm+RVAeOIJSrwR0EMcaLQyiS5yQz6bY/JEVEKRIb7DZvpxMO0+YMRg/qqsQoPDZ9/lq1PK7IX3v2YL914Ur8nFVwKYhsW7VPOnRYJ7VH6mVYcSvJaSyUT7cdChB63DqxaQZ1L5ArzxqsxhMMJ0EKnNizreoMhpNZuGkQ7A4HVH5OKyktbutXoob8olClYqHAEcuOQBwK1RXxSENzydTn25wFKYh6ECxinb2k3TIFbVtJr0558tGWKs/iXY9O7WT7vuDCkFOmklfgVHLjpU/2qcynUCgXz7HHyBYX4S+eYLQHD5vB4Ef/vaBM8OKTe8na8lolNHhhaN/uMmhQP3l/29FSM83MDzYG5DX96MweMmv5Hr8sucE9imRYr05yXJ9OcmLfDs2uKkPYUev1OYjwd3GXTvLMvDXq8+XisSPlAkNQMcUsiDpaTAFYL0Ka8ZmCx5d+2aTGdfmYntK/f8+gn2mhRBP78l66Z5mC0LBhOdK9e0nA+rUwhP0313NS346WoAbH2NdPGaLcqcG62YVTnl1b3+AqrJmPqef7Xh9TkHI7LsFKXlgulLwg26mkpES9p5xwa3QQCqxPB52PGjVKli1bJn/4wx+sHCm4orBdTXl5eYB7ygTvY6eoAUJiAcV0kg5AhAlXiInkOclMuu0PSQFR6rvf/W5Gh13GA33CgRMV84TD7h7o0THfEqT0VXftDIAwpTGfB+zBxF8f1lE+3CEq3NiraNG2VaMqJQrHkTOwW3vp0T5LnQDixBYuGjxfd8vD7zi579Cujd96vQhSKAfcXuEurGBd8XAraXS3w6/218lWj2adM4d0l+Wb9kjtkQapD6WG2TCdOBBG0KHPCzjO4QhSIJLsp07tc2TfwcDnHaxtkIMezE/5ua1lwartQd9v2OfRfdpLeXWDEgrDoU22yBGPFZPY/l5f6V9+TrYSEw7WHX3yK8u2hrXtuvpGdRKIsjl0xrNjz2vCvx17c4OqQ3VKkOrWulrWr9/T3IzCcgL5h2RDuNZZS04ZHnYx66m3Viln1NeO76XW/96K5twm/Tmk84+8iDdeRRMsc8+lJ8mnG3fL8f27Bn2OKQjZ14/PQYhqTkIYTubhhBpecrQrqtM6Y+EAsD+Gcurzj+/luSyI+VGpBwL2ETB+6aWXOj4Ot9NJJ53U4u1AOEYmVL9+/aR79+4yd+5cq2syhC+4qDAOQpIFiumEEJKZtEiUevLJJ6M3EuKIzpXRJ99zPt2qvrTdTnJQZmPy0Zfl6kRMO63089xOdHFi1tB4OCAQWVPQto0KU1+342i4OFq/9ygpklfCeA1HDSyW8j0VR8ubbAKD/n33oUbPQldpjyK54oxB6nfTtRWs7FDTPifbT0yIJrmt0Rq+wbtbpmdH6VKUJz//5vHqdfv3kk0tKr874OJQs+O2jXDL/7QI54aTICVhbLu6tl7dgj0HnRl3VB2RksI2Ifehf5e2snHPYWsZr4JUpMf5lNJiJepAUPrbwrV+ZYg6b8he8qXfO/rf5ZAezS3cP9oaKCLurKxRXdq0mwrlbCcNOsbRmXTPzGWOny8a/Xmhj83O/TXqBncU1g9RublMzj//KJrgxBoC2Fm9siSvdXXIkqNgmAHj5t9OZXeJKssON6OGJS+pBwSnjz/+2FWUwvsv3HiEu+66SyZOnKjK6w4cOCAzZ86UBQsWyJw5c9T64M66//77VSYcbvi9Xbt2csUVV0RprwghhBBCYihKhco/MLnpppsiHApxJODcqCnoiYw9O6WkQ35AaQdOinFSaRemkAODspuR9eXKpeEkTK3dXmllK0HsQYnY1n118sGWzSp0HS4WCAZ294bdBdRcitS8foStN0mzQGVn137vpW7De3WyjgNO6Bes2ia52Y0ysEtuSFEqVoIUaN2q2UHjldXbKtQNrxf2I1qmrkizpUo8lvR175AnI7q3lbfWOL+WutRzw84DnsehQ/vdOk4W5GTLAdtrp4PLdQkd3m9ueWkAghTG1bkwT/ZU1ajx2UE4+HtrdkhLwetpOhffXrlTtuw7+m8RLiTkxJ1/Qu8AZw8CyS23UGk3eW/VNvl8m7+j0SzN053ydOC24xVol88Xjf6ceeHddSqLygTrv2BoodxwVk/VJRRNGWIR+msGmOMn/o7UuRSsu1M0HFGROgBa4g5gyUvq8etf/1oOHXL/TEU4OTrmhcOuXbvkqquukh07dqhQ8hEjRihB6txzz1WP33HHHerfz+TJk6WiokLGjBkjb731lhQUNAvcJL7YYxkIIYSQTMaTKPX73//e7+/du3erCVWHDh3U3wjVxBW34uJiilJRBjlRpoCEv4OdyOgTXjikRg0odswysa8TnFLazQomVn8PKlYnrHB01B+pl7dX7ZDN5QeUSKQDnSH04CdO/DUQo/QJvBZB4Kxav6PSOt1dv7PST2j4al+NnD+sk8q6shOOiIITd0z04C5D+Lsm3EBsJ04r7SqL1u2O6LlbKyLLBwHLN+0OWY7oFS/HEqHyeFnMMkmvJX3jhvWQlZv8xZ9uRXkyfnhPVSqmhRW4eLwKZPYyMzsQpIK53FRJ4v5DQYUtsH7nAXVDeaoTE0b0VDc4ifYdPCzrtlcG3Qd0k7z49CGSJVlKaMJInEqy7IYc/PvBexc3MxsIrgl0OtVuIbB6+9HAco3ZtU11yuvbMajzJ9jni0aP2Z4Zp9eP/Cb7+qN5wmUGmGuBLVLStdSNJS+pBUSnYKAbJkr8wuEvf/lL0Mfxb3Tq1KnqRhJLMHGcEEIIyUQ8iVLmFbsXX3xRnnjiCTUBQqcXsHbtWrnuuuvk+uuvj91IM5RIroJDmNLi1KK1O42uUk0qa8apNAgnzPbJku7mhwkyTlzVsobjxu2kfMf+aqsrFxboW1zoV+6H8h8TrLu0xD+bLJi7paRDnuS3baNcYEcaIUY0jxPo/K1gwNEVzMnlRENTVkROIy0QhEI7zOyUV9ZIrw5tZLu7+SgAONj6dc6VLp06yPzVu8LaV7PL4eiBXSQ7K1uWbCj35PR6Z+U22VV52H/8VTXqfWZOuu+55ER5edFa2bSnxjX8HkDcxPtYCxz2slF9fAvyc+VgnbOjrslwD9oFHCfcBDi8l++97GRrH5rHtEeQy/5ZWYV6ndrltJbeXdvLhGElcuawnpZQYz7nqbdW+wk1TgKx3i9TMHFyCzmV4up9bl5HaOeP18+Xo532tlr/3tyWjfYJVzRL69xK3ehaIITEi3QVxwkhhJC4ZUrdfffd8s9//tMSpAB+h5vq29/+tlx55ZURD4ZE/yq4vasU/g4W+us0WTJLqHA+2L9boZzYt5O8tHizo1ADh9aabfstIQuuD7tbys66HUa7drTE3letspVQxmanT3GBEgg0+oRyx77qkI4YcMsFI9RPnGCv214RMuMI49GCXChhqU+XAtm+v1oa6uuVMOS10x4EKQiFED9MEalrQa4U52d5Etb0a3HOkCLJzcmRp94NL2TbTtmeahk3rKef6ywYdkFKjFIyc9JdX+8tfBzH8d2VX8l9r3zm+rrinh0VNX75UOjgV13XKCVdiqRv10LVXfKSU/pKfRPyvVor9xmcTsHKEAvb5fgtg/cy3md6H8x/k1qEqTp0RDnaINjoznXaLQTchJrRA7rIxp0VfjlcTYbzD+tAUHk3m1vIT1y2CcXhnOiEEzjuZblYnHBFq7TOSYSja4EkCoSOO4msuA+dH9FJ75prrpHx48cnZHwkNjAHjhBCCGmhKIW8AgT02mloaFCZBiS5sHeVMktf7CeZODnbUVFtnUyaTgLTXXCVr1X5sN5d5Pl31/llWCFsHGKXLvWBjoA5d6eCttJkc7m4gZPqjeVHu/DZpQizxMjsThhMNMIYuhflSZ+uBX77DudKqCBx9ViTuIpkprDUuaCtWgbONAhSXfJbu3YMNDsZ4thu3n1Aiovy/MSmK84qlfc+2+i3fzjGJ/brGlDOpksle5T0kHkrj5ZPRgocbU4lc6Ewt6vfMyi/0y6h1duac8nsTQXtXfmK2jTKeyua990uSJV0bH4t9x2o9XNPIR9Krzs3t1YWrzsq2JzYq730KekS8qCgRBX7bgqpWQ4h4MFEGLsIhXLYYMvY9w+5b/Z1oAMdAsvxbxgimRa8tMiiSxydOry5EQuHULKfcNk/9+haIIni/PPPVw1jjjvuOBk9erQq0/3oo49kxYoVSoxavXq1nHPOOfLyyy/LN7/5Tb5QaQJz4AghhJAWilITJkxQpXoo30MHGVzRwyQKpXuYPJHkwmvpi+kWAKMHFVslfThp09k+pqvKzJrRJ6Dofqc7Bmp0eSBucALhhFovD4EFjhT9NzKIUPKlz9G162P0oK7So2N+QImRvTuho4PIV7a1Y3+NcvOYeT1WdzHfMm6B1ks37G7O6RlSojKxdu4/5Cj6rCgzBQqR2nr38jRTkMLyi9f5i7o45qcN7q5+n7/2Y2u5Tvm5snyjc74VBBo4i2IFXq+GxiY/IdJOXm4rOalfsfTsnK+6Qfbo0M4SS3R4u12QAnbH2vKtB2VEj7yAY4z1nFraXa4/b6jc849lIraXS69bi1VNxvpwcyOndbYcqW/u9ohtdCrIlSbfunEfXh/TLaUFnbVf7bdEJS3CmEIHWLO9eRlTqLEvYxde7WLJ51v2qfeDk7MHxwI4uR81dueWzl6Ldq5Jqp1wJVJEY9lgZrNnzx65/fbblQPdZNq0abJlyxYVRH7PPffI//7v/1KUSjPSLQcuWp9l/EwkhJDMJGxR6q9//atcffXV6qoesoZAfX29fO1rX5M///nPsRgjaSFeSl/sJ8AI17YLTk4nrfYTUGAv94KQo7eBcirfqKzgZ0xCzOebzieIRTrbymmis++gf4i5dhqZIlPXorayfV+1JSyZJUVOJ9DXPvZOQLC4fh7W1aWorby6dLOjmDCid2clauljdiBIZhKWGVRSKPWNTdIqKysgLwlh9RAZ1m6rVCVl2dlZSshasr48pAMqXJdUTraIlwaEEB2dQq9NDtU2WMIe9lHlORnHEOKmUwdI+5gh6u2trg+43xQO3DKZIqFLId4nR0PR8V61r/vF99er93GuS/C6fq9rx6FGC6UQV7XTD+WmqiTWtn84Nvq9rjOjzH0O5uxxO9GxC1lAy9OxyDVxcmHGo9NUJNtJlIjGskEya9Ys+fjjjwMOxOWXX64u+v3pT3+S73znO/Lwww/zYJGkJVqfZfxMJISQzCVsUapr167yxhtvyLp162TNmjXKbn7sscdKaWlpbEZI4nLi5uQW8FrWYp6AokTL7v6AQGF247OHq9tPYM1yJLs7yxz/nsrDAUKOFk3sJ5h4jnaF2N0Q9u337tI+QJTSoopZzmhncI8i+eUlJ8r0+WuVQwhC04adVY7ilR7HWsMlZufLXVWO4o8XsSlYEL1T4DcEqVBClimW2LOM3LCLLrqUz0nwaQo43iKnHdtTZZfZ0Q45J1H0qbdWBYTpBxtnbuts5Wjb6cum0i5BvMfswNUXLI8KLjotSjoBtx8wXYmDbG5Bewc8+9gjcfbYXVlOQp9ZYhlNYSZeJxot2U4iXAssGyTIjVq0aJHKjjLBfXgMNDY2RiVPjaQnyeAsitZnGT8TCSEkcwlblNJAhKIQlXq4nbi5uQXCPfl16wgmxkmwU/i11xNECD5uOUemaBLK0RVswoRugXa314DuhfJdX5YWjiEygvZV1/qJCd85Y5A1PvOkX/+O8WnBAePYXlEtS9c3u7ewTDdfwDYCs3dVHvLU8U5jL4d06zTnVp4IQm3OFEt0d0e4udAFEQ6y3ZWHA9btJLgFy6nSx2po9zw5s7STXHTWUNm671CAgIXXxyzDtL+eppinS0+1yLnmq/1+2WAQpEwnF1yCWB/C+sOlsF0bKa90D9t3EnuPKciW00/pKlsq6uXMkf2DNh0I9m81GHYhy2xegPclREKzxLIlwpH9JCkaJxpeTrxicUITyxO+ZM/eIrHnpz/9qdxwww3KLXXyyScrV/PSpUuV6/yuu+5Sy/z3v/9VgeiEJKuzKFqfZfxMJISQzMWTKHXbbbd5XiFt5slNOKU/bp2qgp2k6eegzMnuKLGX5IU7ccG2gwkaCL3GMno/7WP06oaorT/aBU1jClJmSaOZtQX0+ExJQv9uliDqdakOhb5ldlU2B2xDOFKZVQ7CUq9O+bJ139HOdVh2woie1muE/d6wo8q1LAxOrl/NXKZKAN0wA9g12E+7W02Jb1mi3GB4XLvEIFShA6PON1pZti/A0RbK4dU5v7UM6txaZaEFK9FzCh8PJtpg3C87iKZ6u+b7cnO5f26WPa+sZ8d82VYR+Fq4hZebx9CcwPfp2FqGl7ST4SUig3zdMUNN0MN19jg5yszjYzocWyLoOJ0ktfREw+uJV7RPaGJ9wpdq2Vsk+vzyl7+Ufv36yWOPPSbPP/+81c0YZXtXXHGF+hui1Y9//GMefpK0zqJofZbxM5EQQjIXT6LUJ5984mllbiHaJHkI98TNPPl1O0mzC1XaHbF++9HOZWNKi1XpkltJnhewzmBlWBA+tEMm1Bi9HCO9LVNMsE8CsS86ZBon9m4OJYCQd70OZBJB/MK6IeKgVE91KvSVO6pt+zKxdlUdUu6pQd2LZPv+aj9xDw4lu0Bhvr76WKjfm5pfw4kn9A4qSvXuUqBEKXP/ITCZpV3Wa+HbVwhUWAYOKtzM4408Lyf0uLAf7XNby4HDzV0Ksco2rbKsbpF6oupUlmcPHw8l2riFi9tfa13uaXJcr+a8ML3sdeceq9xUC1dtk4K8HCVIhRJ/9Nj0Msf16STdWldLTY1zd8xoihZOonO0BR2nkyT8+2jJfoRTRhzN4xWPE750Czsm4XPllVeqmxv4XCAk2Z1F0fos42ciIe7snDdP9ixeLF1OOUW6s7kYyURR6p133on9SEhcaMmJm9NJGk7KtWPGFIHskyW3oPJwsItFEGwg0tg7wZmlWBgjCMfxEOwYOU0CtQADoUkLS066FNw+pjNKC1gQQuA2MkUatZ6sZoFK3292/NPL2CehTqKI7niIoHdd8qYzoZzQnRLt4fPm8VP7ansetmN3k+lue6bAo0WuZ+atVuIX9kMLUvr1a1/YQXbV58vcuV/4CYn2jC0sG0wssIuR9tevpEOe7Kxs7vaoRUY38QqvhZszDp0dMTancsJQJarI5dPdMfE66fHi3xayyU4ecLQsNVZES9BxO0lqyYlGOCde0TyhSaYTPpLeoHzviy++UBf2hg4dynI94gk6iwjJHLEG+7js+uslq1Ur2TR9upz89NNpu68kM4k4Uwp89dVXahLVs2fP6I2IxJxIT9zsJ2lwPVnlaj4RpSW5N8Ha1+vfAwSXT8oCRCkzLyecwHYvx0jvF8rGsCUtyun1QyhbUbZXKg8dLfMKla0FkcMMd9cin9ZD7OHU+Dmg29GMq1Bj164mXdKn3SsQhiAkVRyslQOHj0hjo8i4YT0CcrnM0i6M6/l310nXguYQXhMIKj/98/tSVdPc/dB0kzm9F37/nxUB69DbycvNkXtnfRwgJNpLQ3E8cMyccHP22d9Dzcv4l+65ZaNt3n1A7r1slHVcwhHIQnXHdOqQB/T7G69XLANtoyHoxOIkKVEnXjzhI7GmvLxcddpbsGCBdOjQQQnUlZWVMn78eJk5c6ZqLENIqM8pui1JJpMpYg1EN+xjU0OD+rl3yZK03E+SuYQtSqETzLRp0+Shhx6SgwcPqvsKCgrk9ttvlylTpkh2dnYsxkmSAPtJmr2czu7ciXSyZIaF65NzU1iAoGKewOu8n+KiPNfue14cD9qx8vHmClmxZZ/fyb9dJEPZGNannE8+QQPo8i4QrJRPbBlG9mPl5GIyxTY3Qco+ViyDLoXWa2SIOHqb5rHUZXhO7jC9PxBJ7EKgxsyOMrPDzG3pMsARvZvL4TRDe3aUIcd0CCokWqWhOyotIVS7m+wEW4fpUrrhrJ6yeluVDO1ZqHK39LHBe+3pt1YpF5T/q+B/XMxH9HsrkoBst9JCsGDV9qgFkccas9TV/Lul60xUVkqyHmeSHkHnVVVVsmrVKtXFGKxevVquvvpquemmm+Tvf/97oodICCFJTaaINXCBQXTT+9p5zJhED4mQxIpSEJ7+8pe/yG9+8xs5/fTT1UndBx98IFOnTpXDhw/LfffdF90RkqTCKb/IKXspUswwc3vLetOJYj+Br6yus0KoncqnQjkt8D7euHGjLNu4V6Yv3u138g9MBwuEC8s5ZOQqWesy3ExdCtrKkg3ljuKU2dHPBFlTTuIEOusN79UpqFvEqXTO3hHPLuKEcpK5ZTphPJ3at1UCnRPdi/KkT9cCa1xwtaGMz35s4SyDQIWgdBM3IdFrWZWX5SBCIlB9UOdO1t+6/bpTyaDuQKhFJxzfzbsh0GWpkken8kWvApJ9vG5d/RIZaJtKHaEISXbmzJkj8+bNswQpgPK9xx9/XM4777yEjo0QQlKBTBFrILTBBQbRDfuYjsJbIsmEEtC0E6Wee+451a540qRJ1n0jR45UJXyTJ0+mKJVBuIk9LWmjrtxXLg4j0+Xj5FIJFYIcbCwQIxA2vWRzs/vPPPk3HUrNzqyjv+NnaUlRs3PHNlYITkALMfbgcTe3k1vpWHVNvRWqHuz4mWNFiLo948ouzjiVZZqh5vr4oWzOHjSOUjYlOPlyq0zgMNpVeTggMNw8tnYhyouQaD6Gsbo5cryIkchxQpCwPWjcfA/by/3umbnM7zW1iy5OIp++P9i/Cft4URpqdjI0u/olc75RJOWyLfnM8Eo8tkFIuM7zNm3aBNyP+/AYIYmEn5kkFcgksQb7ls77lygypQQ07USpffv2yZAhQwLux314jGQWdrEnXJeEWxC1FqaU4LMzsFTraLZTsxgSTFDxAsSI9XvrZfXOo6KLefLvH9reS/p2LXAVDOCkMoPdnYLHtUrkNOmz75tmW0W1THtpuXQpauu6f4FB3vkqRF2DzKtg4o3OtHLqXqhznDT4W3e+08vorC38h2B1y01mG2e4nR+dHlPH1uW9Zh5XU8izH2/kOfXv398vaNw87k4lo7o80010cRL5vP6bMPcZP9HJUJOIXKV4BITHw1lF9xZJRs4++2y5+eabVZlejx491H3btm2TW2+9VSZMmJDo4ZEMhp+ZJJWgWENaQqaUgKadKAVX1GOPPSaPPvqo3/24D4+RzMZeVqc7srU8iDrwBNcUQ4IJKl6AOLHrcBtf4HXzfRCX3IQlvR0IPngsmGBgCg0YqxbRtIPIabz6OVf/cb6fO0llVvk6HaJ8Dhla9u015yI1l5PZc7/Kqw45inZ6e2aoOXjkdYSRj3DMO7ILMgH7aXOI+Y/Rf9lgDha3x90cOW7vK7f77UHjduAQw7Z27KsO2B8n0cUpey0c55Db/joJwMno/Ak3IDwSZ1W4xGMbhIQL5k3f/OY3pW/fvtKrVy/1WVRWVibHHXecvPDCCzygJGGE85mZrN9FhJDwyNQStkwpAU07UerBBx+UCy64QOUgnHrqqWoStWjRItm6dau88cYbsRklSTqcJiG4Dyfu5kk7BBjtprHjtcwp1AmuPllHWZUODw/3xFONff8hJUgddUT1DtgGMIUbvR04abxsy9xnLRYFE/DGDesZEHquDy+cShBRdDaTzmzS64WbK7d1Kz+X0trtlep5bqKdvXQQOV3YBrKTzDGbIeZeS9F0eD2eD8HMLQMLmVr69Q92tdYcqzkWv2Ps6xZov9/peLsFjeN4bdhRFVB+aTri7P8enLLXvDiHvFydxjIvvrdehcprgTLZcpvCCQgP11kVCfHYBiHhAiFq+fLlMnfuXFmzZo3KNkSm1DkZdDJAkhOvn5ktcVQlg5iVDGMgJBnI5BK2TCoBTStRauzYsbJu3ToVxKknUd/61rdUnpS2n5P0xmkSAsxueJpg4pDXMicvJ7jamaMJ58TT7pAZPajYCq12wj7u7RXVah0g1OQmWJg1BDx0HkTJljlRglCDUkGU4tlDy4EuN9NHvilIBz/9uNvrgr+7d8gLyI5C2aRZ4oe/Q7lg7KVoKHO0i4t2Icjsuojteblaay8PdOoWaAprboKp9Tzb+kyhc/SgrtKjY35AhlqwSXk4zqFg+2uGxVuvpa+sNVwBNpkm4eE6q5J1G4REyrnnnqtuhCQLXj8zI3WhJkN5YDKMgZBkIdNL2FgCmiKiFESnZ599VgoLC2XGjBly2WWXMdA8g3GahJhh4FoMCHWFraVlTm5jspfehUJlPPnRFLS07Gjm01bVeW7p+t1WBlGoyY19n+0igxaS7GWIOlsIolWA2GQca68Ee12c3Fl6Uhqpfd/tcSchSHcvxDGC00u/p+xjdnu/4AYBavZHm+RQ7dFOg+iSd8qgYlmyvtxRmLNna23efUD2HTisHEmme86+f17et16dQ25Xp+15ViZ42cMVYJ2caXpfEiFWheOsSuZtEBIKe/RBMG666SYeUJIwvHxmRupCTYaS6mQYAyHJAkvYSEqIUv/5z3+kurpaiVLXXnutnH/++VJcjNwakom4TULM+3Cyq900IFj4eFMUSmzszzVL70Ji03IqDtaq8eYGyajCT7sQ5lY6GKq0y96d7s1PylzXBXEKjiMdKI79RGmcWbZnx7xf/47Xx008gkgxtGdHWb2tIipXG4M9roUgHO+d+w/5vSQ6I0yNuSlwzMEEHGeXWJacf0Ivv6wrpzwoYAboAziknASpYOOI5tVpt9JCCfJaOuHoTPOVAAJeMU4MyeZeI7Hj97//vaflEI1AUYokO5G6UJOhpDoZxkBSl3TLX/JawpZu+01STJRCZ70777xTxo8fr8r1Zs2apQQqJ773ve9Fe4wkRSYhTvcFEyScHou0xOaoe+loZzuvnH9Cbz9RB7lL630ZQtqh45R5ZZ/QmG4xu8MlWGkXRAVTRKk6VGe5hdyEE/MYmllNTowp7aZUnSUbypvLvURk2ZflStxyE4/s4kewwPpQVxu9XI00BSndJRBj1PuF5+nOi5EKOLokM9h7zF7KqceMkj3gFhLv5X3rVXhwujptf68h5L5T+1xXocwNe2kjMA8TrxjHH5aQZBabNh3N7CMkHcTwSFyoyVBSnQxjIKlJuuYvhSphS9f9JikkSj311FNy2223yeuvv66u3v3yl79UP+3gPopSmYHTJMTpvmCChNNjXgPD3TA723nNBzAnJsiHQjmeFjS0iOOWeWXvyqcdTF72X6PdTy+8u06+3FVl5QQN6FYo3z2r1HMGkb1sEh3utBCDsj/tyMLodM6SeYyCuXGaj0JkVxtDPW7vEGh1GTRK+dyuYnoRcMxAcvM5mJDbRSaUU9oJlncWbBzRFB6iMXnWJyAQQSH44T3ghJcrxqnm7Enm8bKEhIAPPvhARo0apTqBEpIJYngylFQnwxhI6pGp+UuZut8kPmR7Wei0006TxYsXy+7du5VTCkHnFRUVAbd9+/bFfsQkpcBJoBZk7Ce79sdw4g+RQIeGh4tbNz8vYFICQQzihe4yZy93Q1mbk8BkCmk6YwqTPexHsP23bx8ClBaV8DOUIAXM9esSt4tG91UTzHsvOzrJxNizQuRpmevSHP2tyfV10YKJ3q6TWBnscWzXSQbTgtSA7oWuE2Z8HtXW1qqfbtu797KTXR1Rry7dbL1Wth1WIPQd63B67aP93tQiWbDjHKloa+4vnHU9OjQ7v+xg9yFmehHYAo5dkpLs4/X6GUHSm4kTJ8q2bdsSPQySIbRkvkRIpoPSNS3M4CfK3dIBOKFWTpumfmbSfpMU7b4H63nXrl1jMxqSdgRzeNiDpd3ym+KZD6DHZLqWdOmYF8ePk/PLq8MlEjeM1+fosQeS5bouYA9zD/a6NEVwNVI7WFCu59RZEOt0E+cgRG3cuFFqamokLy9P+vfvbzk4Q139dHOnQJTUofXghvOGWetpyXvLqdOk6dKK9VVr+/7u2F/tV8IHjuax9QrqMEo1Z0+yj5clJASYwjohsYZ5SoTEPn8plfBSmpeO+01SWJTq06dPbEZC0pZgAoF+DCfoLT1xDOfkLlg5j5WRZeQr6fUFW7/bJC8ce3ik2QyhnnM0c6tZZNIOMFOAcFqXlxP6SAUVe4YVXF7oeGeOzynEW792Q3sUSiepUfdBmKqrq/Nc+hLstXJ6jVuaGxVKgI21cGLf31EDimXDzirHxgRmXpnT65pqJzNexpvo8j6WkBBC4v2ZwzwlQmKXv5SupXnptt8khUUpQmJBS050nbrbhVoeJ9u661hpSZFcceYgT+HVoQS2RE7yQp1Ym1lKXsfo5XVxE1RCjcf+PIgiKDkMNj4/oaSpSW44q6cM6txaOaVycnKi5uALdvzc8BJq7ybAxlrocdpf5JgFex+4va6Jfp+HS6jxJkO2CiFPP/20dOvG9x2JL/TnEUJ0aR4cUizNI4mCohRJCiI90Y3khFIFaxulS+t2VAaEfsfStRQLwjkO4Tq37CV99nBwJ0HFy3gicZbZhZJdtW3k64MGKkHKqflCqH2LZYmcm9vJab/jIfTY9zfU/ocSylLpZCac91SylfeRzOCKK65I9BBIBkExnqQzKEWD8wdCSzRdPbFabzLA0jySaChKkaQhEpFAC0y6+5yXE0qnfCXIGal4MqrdSDv2VUd8Yh2Ow8pJaHISVLyUYzo9L9RY7ELJyD5dkqZbVThlYk7lcslWwuUmlKXbyUyqlSMSQkhLiVSMT3SpMyHRyEZKpvUmEyzNI4mEohRJWpwmP/b7clu3shxP+Im8nlDgeRAFkOujwSr0yai5DZCsE7Dp89eqfdD5SyDcE+twBAbdqc9pEmsXVLye6JvP8zKWeDiKIp10h1MmhmOSCmKOk1CWbs6iVCtHJISQRIjxibggQRGMxCobKV7rTaS7Kp2dXSTDRanPPvtMXnvtNenUqZNceuml0qVLF+uxqqoqueWWW+Svf/1rLMZJMgynyQ+w31db32CJMvgJ94kXrj17sMrUaRZaslTgt5MbCERzAhatCRbWo0U1ve9jSoulR8d8TyfWlsOqolo9VznNHNxiejmIf2ZXumCT2GBuoGB4FTti6Shq6aQ73DIxfX8k74dETdbT0VmUbC41Qkjm4OUCXDKI8fG+IJFurlySmGyk7LZtZeW0aWELM3ZBJ5LMJbu7qtuECdL70kvjIhBlgrOLZKgo9dZbb8mFF14ogwYNkgMHDsg999wjs2bNkvHjx1vdr5577jmKUiQqOE1+IL5EMyA6lAsEaMHG6wQs2EQymhMsVbZoOKSaO+n1toQ1nfukl7VPdk3Hjga/mU4z+3Km+Dem1PkkXj9Ho8VEew5VPMSOSCb14Uy6w12/ff9wrCN9PyRysk5nESGExPcCXDxyBpPtgkQ8RDA6sdIPMxsJgtSGJ54IW5hxE3T0eiFIeVmP6a4Cu+bPl11vvx0XgShWjjFCYkW21wWnTp0qP/vZz2TlypWyefNmueOOO2TSpEkyZ86cmA2OZC6Y/OiJiJ78ON2nT5AvGt03KhM3cxvAFMJCTcD05PLVpZvVT/ztxSkTCaps0fj7zCElfk4vPQan8diFNw122XSamcupYHjfsWgWwHo57v9Tb63yu+/F99cHPSYmwV5LLbQFe759LF63a+L0HovW+u37B5dfpO+HaL6XIgH7cv15Q3nVmhBCWoDTZ3miP9/diPZ8K1rfx5ES6TyBJD8QX4ZNmSINNTUBwowpPMFBhZ9eBB1zvV7FHbirlCClG/FgPm0bR6zQ22Y3PZJ2TqlVq1bJ888/r35Hl6uf//zncswxx8i3v/1t+fvf/y6jR4+O5ThJhuHmxnC6L5qlN07d5rza20Nd1YvmVUZ72WLXorYBY9CP699feHed4ziA7kZojsm+XLByPLtDSlN1qC6sK51Or2WkHRYjucLq1QXUkvWby0X6fkjHEjpCCMk03D7Lk/XzPZ6lzrF25aZbPiIJpFVeXrMolJ3tV3IXqrQtklI9J7S7quyll2TXvHkRrS/SXCh20yNpK0qhw9X+/fv97vvOd74j2dnZcvnll8tDDz0Ui/GRDMZp8tOSCZFXm7Z9G163F0ooiHSC5TRut205Ck4+cerLXVXN7qlLR6nbnE+3yuJ1u5ofbxIlOtnzLLzmQrm5r8YN66myr1oyuY5k4hjtss5orj8aE26W0BFCSGZdgMtEYimC8eJOegMxB6V7EKSksVEGTp5siTqhStuiKejojnYYT7jra2kuFLvpkbQUpY4//nh555135KSTTvK7/7LLLpPGxka5+uqrYzE+QgJEGXSdW/ZluZw8oFgFlidLBo8XoSDcCZbbuN225eT0gkMKghT0Ii3qoPTKLvbo0r1IusTZJ3enlHazwuMRKN+SyXWwiaOb0GgeB2Q3YRl9fzSIlijUkgk3w7kJIST1ifYFOOL9uFP8S1/swlPj4cNhOaGiKehE6nZiLhTJJDyLUj/+8Y/l3XffdXwMjinwzDPPRG9khDiIMshOem/NDnVsvtxZpX56EaZaYtMOJwgz2hPJYON225bT/abI5Oaq0vdHcqzwOFxVH31ZLqNsYmFLj4nbxDGU0GhdcY6RGMmTBkIIISR14fd4+hJMeIpnaVtL3E4tKSOMVAgjJOlFqYsvvljd3IAwpcUpQqJFgEBS5h/4CRHEiygVqU07Hg6rYKJXLMvE3O6PZJvYB12mt2FnlWwur5LzT2juBhiriaMX8YyZEYQQQgghmUUo4SlepW0tcTtFKp61tOyPkKTuvkdIIgjovtLbXyCBKyeWXWNi3QUnVPeXaHW7ceuW5nR/JNu0Z0otWV8e8242XjrzxLp7DyGEJAMPPPCAnHzyyVJQUCDFxcVy0UUXydq1a/2WaUI59tSp0qNHD8nLy5Nx48apJjYkM4mkq204yxOSaMLtlpeMXfAi2Qe37oGEpIVTStOxY0fVfc8O7mvbtq0MHDhQrrnmGrn22mujNUaSwTi5eZAp5VQm5mVd4Yo6sQ7C9OLkSYS93K0LXihHlwbSVKy72XjN8ErGzIhwSkIJISQUCxculBtvvFEJU/X19TJlyhQ577zzZPXq1ZKfn6+WefDBB+Xhhx+WZ599VkpLS2XatGly7rnnKvEKYhbJHMJ1gUfDNc7vPZKJJKILXrS6BxIST7KacOksDH7/+9/LfffdJxMnTpTRo0erK2/Lli2TOXPmyK233iqbNm2S559/Xv74xz/KddddJ8lEVVWVFBUVSWVlpRQWFiZ6OCRFwEQqVqJGJKHiiRBBvIwTy8z5tEwWryuP+f5Eg2hNkMNdT7xec0JI5s4ddu/erRxTEKvOOussNVeDQ+qWW26RX/ziF2qZ2tpa6datm/z2t7+V66+/Pi2PA3EGjic4tPUFMTij4ZqO1vJ2+L2XukyaNElmz54t6UKmZC1F0u2PkFjgde4QtlPq/fffV1fXbrjhBr/7n376aXnrrbfkX//6l4wYMUIeffTRpBOlCAlGsE5uiXT7tFQQicYVTtPRBaPk8++u83tMbx83LU4pu1SSEq2ssEjWw5wrQkisweQPdOrUSf3EBcOdO3cq95QmNzdXxo4dK4sWLXIUpSBa4WZOLEl6EK4LvKWucX7vkWQgk7KWop2ZlSliHkmhTKn//ve/co7Dm3HChAnqMfD1r39dNm7cGJ0REhIHQmU7xRK3vKdojTkauVg6mwmCFLyVG3dWqW26bR9uqaUbdsf9WHolWllhkayHOVeEkFgCV9Rtt90mZ5xxhgwfPlzdB0EKwBllgr/1Y045Vbi6qW+9evXiC5cmhJsd2dJ8S37vkWTAS9YSxJeV06apn5HQ0ufHal0t2YYW8zbPmKF+xnI8JHMJW5TCVbfXXnst4H7cp6/IVVdXM5+ApBSxDjSPdmgongO3EkSiUGOOxmRQT0j7dysUJMrBBKWT5ezbT8SxDJdoTZAjWU+0wusJIcSJn/zkJ7JixQr5+9//HvCYPRMUApZTTii48847leNK37Zu3coDnkaEe0Es0gtosf7eYwA7iVboeEvFl2iKN/EQgrxug8HpJB6EXb539913y49//GN55513VKYUJjNLly6VN954Q5566im1zNy5c5UlnJBUIdaB5tEsH9PPtcQhnzDlNuZohX3r55l5SMB+zCI5lvEOQI3mMYlkPYkIryeEpD8//elPVf7Lu+++K8ccc4x1f/fu3dVPuKJKSkqs+8vLywPcU2Z5H26ERINYfO9FqxSfZAahQsedxJeWdr2LtNQtmutq6TYYnE6SUpRCTtTQoUPlsccek5dfflldZRsyZIgK0zzttNPUMrfffnssxkpIzIh3l7aW5Cv45TuJyIBuhfLds0qDPj9ak0H7cQL2Y+b1WGohKrd1K5n5wYa4TyqjeUw4CSaEJBLMxSBIvfLKK7JgwQLp16+f3+P4G8IULhqecMIJ6r66ujo1d0PQOSGpCLOqSCS49fhqqfgSTfEmHkKQ120kooMgyTzC7r6XyrBzDEkWWtKJJh262Nj3Qbu+IunqE8424+nGIoSkB6kwd5g8ebK8+OKL8uqrr8rgwYOt+zHuvLw89TvEJ+RETZ8+XQYNGiT333+/ErDWrl3rKXIhFY4DySzSYT6U7KR69z0zoBvooHOIME5B5y3tWhfNrnfx6KDHLn0k1nidO0QkSjU0NMi///1v+eKLL1T5HpxT+NBq1aqVJDOcUJFkm0y1pOterFxd8RBvzPbSOjw9lpNKTlwJIek8d3DLhYIAdc0116jfMd279957VbfkiooKGTNmjDz++ONWGHo6HAeSeaT6fCjZSWVRyuy2BxGq24QJUr5ggVWu1u/qq2XYlCmJHiYhaY3XuUPY5XsbNmxQ3fW2bdumrsZhkrNu3TrVleX111+XAQMGtHTshGQELSn7ilXJWLzyGey5U5efPlDq6htiVjpJiz8hJJ3xcn0RwtXUqVPVjZB0IRrzISfxiXlVyet4gmvI/reXzKTDe/ao3yU7O2YlcYSQyAhblLrpppuU8LR48WKr297evXvlu9/9rnoMwhQhJDWJpngT7ApjvDO84h1kn+5XY1NtvIQQQogTbuITL2Ylp+MJGUgDJ0+WDU88Yf3tVIbnlJlU+dlnSpCSxka1DmYjEZLCohRCMU1BCnTu3Fl+85vfyOmnnx7t8RFC4igiREu88XKFMZ4B4fEWwcIh1a7Gptp4CSGEEDfcxKdkv5iVSZTNmqVaTWvHU/nChZ4706FkT+dEmKV7jYcPx2y8XlxchJAWilJoD3zgwIGA+w8ePCg5OTnhro4QkkQiQrTEm2S8whhMBEuk8ycZj1U6jZcQQkh6OmJbOkY8f0dFtfV9ZopPyXwxK9PK9Ha9/bb1OESl4rFjpWrVqqBd4+x5UnBGqfX4xK1Yle7ZXV1uLi5CiD/ZEibf+MY35Ec/+pEsWbJEZRjgBufUDTfcoMLwYsHmzZvlBz/4gWppjC4yKB+85557VDtjQtIBTIwQ/o2f8RARgoGJF7rftWQChgmi0yQvmUU7BK/jZyxeg2CvcSodq1QcLyGEkOT8XkzkGPXzl67frf4ePag44KJdNOZDJHxBZ/OMGeqnFqgg8CiysqTbOefIsbffrsQeBJVr0QfLrpw2Tf10ypM6sHat37a2zJplLetlXOa6g2HfLlxchJAYOKUeffRRufrqq+XUU0+VNm3aqPvq6+uVIPWHP/xBYsGaNWuksbFRdYwZOHCgrFy5Uq677jqprq6W//u//4vJNglJl3KoRFjQU+kKYzycP8Fe41Q6Vqk43lS8+k8IIYkkFRyxLR2j/fk9OrZzfD6/M+KHKegg+2nto48qV5QWePCz9yWXqGUhRGkHkpM7yZ4nhVYQ1rpFpHz+fCl/++2QTqZwnU/27TJMneWMJEaiVIcOHeTVV1+V9evXK7EITqmhQ4cqsShWnH/++eqm6d+/v6xdu1aefPJJilIk5Yn15M+LiBCLSVc8M6OSSbRzOpahXuNUOVapOl4N87AIISS634uJEm1a+t2tn58l4vp8fmfEFy3o6DDyqi++UGV6KL1DBhQEHidByMmdNGzKFCUg4XctDEGE0vlSuIXKo3Jbd7Dl8Zi53Uwv3WM5I4mZKKUZNGiQuiWKyspKv7B1QlKVeDiZQuUpObl4MuXqYDSdP27HkoGpyUEqXP0nhKQu6fK96fV7MZGiTbS+u+GgcYPfGfFFCzpwSEGQgjClQ8khMoXrTjLdVADrRmg6sqW8OpkicT7Zt5vJhCvqkczFkyh12223eV7hww8/LLHmyy+/lD/+8Y/y0EMPBV2utrZW3TRVVVUxHxshqVYO5ZY5lYwd1mI14Y+W88dtApvo15g0Q3GQEBIr0s1V4+V7MdGiTUu+u72Mnd8Z8UcLFmZIeSghyKs7SYtFcO94dTLFyvmUKR36WM5IoipKffLJJ55WlgVLZBhMnTpV7r333qDLLFu2TEaNGmX9vX37dlXKd8kll8gPf/jDoM994IEHQq6fkEwvh3KadCV6opmqE/5gE9hULXlLJygOEkJidVEkGb83Y00qiDZur5uXsfM7IzFEIgTZ3UnBRJ9wnUzRdj5lUkkbyxmJV7KaEAqVIPbs2aNuwejbt6+0bdvWEqTGjx8vY8aMkWeffVayUXMcplOqV69eqvSvsLAwSntBSOqDSZvp4jEFIEzWkkEAQuc6dNnRE/6LRvdVXXGS/VgSQlIbzB2Kiooyfu6QycfBy3diMn5vZvp3XqjXJJnHnixloWhkNXv2bEkltOijs6mQSYWOffEeg5sohk5+6DCoS9rQRTBYeWKk2yEkleYOEWdKRYMuXbqomxe2bdumBKmTTjpJpk+fHlKQArm5uepGCAmO3cWTjFcHU+GKLKAjihBC0gsvLqhk/N5Mte+8aIsvsW4yEg+xKBVc4vHCqwCDZbQgBTY88YR0HDky4DmxEnRCOaHCLWlzG2cmOa5I+pNQUcorcEiNGzdOevfurbrt7d6923qse/fuCR0bIekafpqME81TSoth8JTzj++VMseREEJIauP1okimX5RoyXd9LMSXWF7MipdYlEllocFEIi8CjH7+4Z07LUFKg4DzWAg6TmMOFe4dTklbsHEyRJykEykhSr311luyYcMGdTvmmGP8Hktg9SEhnsj0q1zR2H+7BR+iFCGEEBIPMtUFFc/v+liIL7F83eIlFqWKS7yl2MUXlNw11NRYYk8oAcZesifIOTbOEdFxD8tEU9BxE4y8OKG85lQFGydDxEk6kRKi1DXXXKNuhKQimXSVK5r7b15xTaZjGOpKcCq64gghhAQn011QoWjp93SsxBc9BozP/Lul6PGCWIpFmSKImuILhCWU3JkCVXVZWfNjWVmOQo/f84GDacF0S4Uj6NjdUPpvjMkuGOmxYMyNhw+3uGNfsHEyRJykEykhShGSymTKVa5o7r/9iuvlpw+0JrrROIaRCkehrgRnuiuOEEJIZtLSuU6sxJdYfy+j73isazbSTRA1RR6A31vl5VnijhamTIFKOaCAS4WMFm/cnFIKo0u8V0HHycGlBTMtgOnfs9u2tZbF39HIeAo1zmh3BiQkUVCUIiTGZMpVrmjuv/2Ka119Q9SOYUsmqKGuBCeTo4sQQghJ9rmO/SJRtL8zY/W97HW9dE8HF3mAFnG0uwjijp/wY4SW6+Wdyu2KJ0xQImF2To7sePPNgNei9yWXhC3o6NB0PY7yhQv93FHF48ZJfp8+SjCKVcYThSeSCVCUIiQOpNtVrljvv9MV12gdw5ZMUN2uBOtJZ27rVlF1dBFCCCGpQrjf05FcJApX5ImVWz3Yes05wcwPNtA97VZm53MuaREHgtSwKVPUfeiWB1FHC1SmMGUvYzOFLjzWbcKEACELglckAhEcXNZ6Ghslv3dvqVq1ytpW70sv9VtvOF31WkKsOgcSkigoShFCXEnUFb5YustaMkF1Gpc9hP3MISWyY3+1jBpQnNFCJCGEEBLNi0SRiFhu39stndu4zVPscwLILnRPu2ckAbe8JC22QKAqe+kl2TVvnmNZnt2hpJaBkOQTpiBIHXv77RG9zghbtwSu7GxpPHLEcmTZBal4ZTxFq3MgIckERSlCiCOJzkeKlbuspYKXfVzmpBqTlPfW7FB/b9hZJUN6dqAwRQghhEThIlGkTmfzezuacxuneYrfnMCnn9A9La7CDQgl4gTrvgeBRoegW+6lSy5Rt0jFIdOFZGVV+YQuCGOmS8pprPaugNF2NMWqTJCQREJRihDiSDrnI0VT8LJPqtW8JQ2PGSGEEJLIi0TRKMWLZG4TjrPKPkY0akEuZiZmirphF268CCpOXehMxxBAvpPpXgolDrndZw8298OXL+VFDIqVoymczoGEpAoUpQiJM6kSepnuXQOj9TqYk+ocIz8iHY8ZIYQQkqiLRHYRCzz11uqwvsfDnduE66zK9OY2scKpNG7ltGl+jiEEjjuJPk7iEHASjOwuJDPYXJfxeRGDsM21f/iDJxErXDdVvMoECYknFKUIyaCSuHBI54lVtF8Hc1KNkr10PGaEEEJIotHft5F+j4c7t4m0yx6//0PjVYzBcltmzQrIcQrmGDLX7VTu1gRnu0MJnH2dxWPH+gWb6w6BwcQgLYKZWVRuIpZdMENIuz2rygl25CPpBkUpQuJIqpXEpevEKpavQ7oeM0IIISRZnN/m9zj4/X9WyJptveXaswdH9Xs6lLMKx2DOJ2WyeH15gECWKs74RGAJN1lZQUvbrOV87Hr7bWtZN8eQKQph3SUTJ/plTmlxyEnQclqn7gTo1ZXk12EwO1uKjj1WSm+6yfG5fsti/+bP99vHSI8tO/ORVIOiFCFxJN1L4lIFvg6EEEJIajq/se0d+6otQQpUHqpT5fPATZiKRCQK5qyaPn+ttU1gXugCqeKMTwRwPil8ryG66zmJMNZyBmYZnJNjCIKMAi4lEdnx5ptKmMorKfETltwELbugE64rye62chOkzGWtVHyfgyvS8HJ25iOpCkUpQuJIOpfEpRJ8HQghhJDUc36bYhjIaZ0tdfXN4gNYuGqboyhlF9EQQF5b3+BJoHJyVmF9piCl0RcccXwwQt2ZN5zjkwkOq+ZXz8AQGIMuJxIy2Hv/Z58F3Adhyu4+cuqUF41g8nAyn/Sy6554Qiox7iClfl5gZz6SqmQnegCEZBqYYFx/3tC0nWhECiZhCCzFz3jA14EQQgiJDAgmWpCKp/PbLoa1y/W/vl7YLifk86BnQVD6NxxMsz5SjqdIxmHnlNJiOXNIiTz/7jpZ+9V+0TILfqIRihe0ePbq0s3qZ7zmRPEGuUkKn7ho/e22nA9kOoXKn6pYvjzwgawsJRKFK+hECsY4bMoU9TsC2TGuYGhBCu6uUPsYDDivnEoVCUl2KEoRQhKO2ySspUJVvIUuQgghJJMcxxeN7hvX0jS7GHb+8b39Hu/YPtfxO998njblaNEIAlW484Rcm8gEMapv10J5b80O+XJnlazeVmE9Bt2lrr45MyjU3MTJgZYuQJjRAo12CPW/9lpvjiSfeIV8p2BYpXt2cDzbto2roKOdV5tnzFA/3YQpLYbpzn4IUo8UfVz7XX11i3KpCIk3LN8jhCQct0lYS/IYUqnTISGEEJJqhBMYHq2SNKfye3S9nfPpVlm8bpcsXb9bFq8rD/jON58H15JZege9A88PZ3wo/TPpWtRWln1ZHrCc3Ummc6ggsegyQrPcMF0zL92Cze2iib3TXrjlaFZGk52sLCmbOVP9euzttzs+F+uFS6l84ULVdQ9ARAvVHdBtf9f+4Q9WOV6wsQfrIhgJ7MxHUhGKUoSQhOM0CWtpXkWqdTokhBBCUhk34SnYRaJIw8ftglOo73yn7ShxyJcvDUErnItYdqcUhK6TBxQrl5RJcVFbGTesp9WNT4thpksLopreXrpmXpbZg81nzXIUpOyd9tw652m+eOghKV+wQIrHjVNikxaWNjzxxNHwcN/Pun37mu93EaawfTyObVWtWqXuiyRfyuz+p8LWQ+REhZNBRUi6QlGKEJJw3CZhLblamK5XGwkhhJBkI5jw5CYYRdPRHOw732k7EIKQAdUcpd2kHFbhXMSCU6r5mc1rQHke8kKXb9wt63ZUWsvt3F9jCU86/Nwe6T3n07IAkU0fN/PvVKbJpRwvoPROC0k+dOe86rIy5V6CYKM75B3euVM9DqpWr7bEJtxQ5geRByV7cEhBkNJs/89/HEUp05Wlx+fVoeW6nuxsKTr22KAd+IK5m+zdAJ26AxKSDlCUIoQkBU5XPltytTAVrjZmQocdQggh6U8wp5KbYNSSDnXhfOfbx6ZL/bRAVFpS5BjaHuw72m2frjhzkBLATPEJ+gbGpZ9jB+WGKOvTZXzpGD/Q59JLpfztty3Rqfcll3grvcvKUsKT6V7SbiYl+hjsXrjQEpvsIo92SIFDZWVWrpUp8tjL6NTmIyips68nlCDlhr0bYNGIEVK5YkWLuwMSkoxQlCKEpEVeRSyeHwv0JBfWf1w9TadJJyGEkMwkmFPJnuekHUD4HoykQ1243/n2se070BwkrbetnU2jBxXL+cf3cnVxAVOkMkUwgPByPIacKLif9lfXNW+nqXnf8JxTBhXLkvXlAc4hXdYHB9aOiuqjnQKVk2prys8PgpWomcIQlln3xBPN3egM15R2HW177bWjf9tp1coSm0wgVO1+/30l6Fj5Ui+9JBWffdYsVmVnWyKPmSml3VbhltRFqxzPz3GFDn2+8Ufi3iIk2clqajI8kmlOVVWVFBUVSWVlpRQWFiZ6OISQDMOc5OrJJj6A8Tc6GMH6TwhJLjh34HEg3r/jgrmT7d+BSqDZUG7F/lw8up/r92BLncXm2CAYwZ1kYv8ehsCEjsDaQQXBSudO4T57LlaAO8r2+8VjmvfNWta/Ss1vHFi/nURduJo0aZLMnj07ZutHJpTpYtLuH/v9nvBlOGEdwF72ZuZVOT232/jxKsdKC0GJdiKZ4fB+bxbf34keHyHRnEPRKUUIIXHCLCHQcwxmXhFCCEkHQrmT7WV04vF70O5aQhbU+cf3DkuksY/NLkrZtx/grjrY7K5yKk+c80mZ+mlKSfbf9bpNh9XuysPy3podR7Opso6WMhbl51hOq1Ru1uKUgeSUCaXRAegH1q4NFGNC4QsVX/f4482uIsMBhXV2mzBBds2f7xd+bj5XvQZGphTcVIkUfbTjCsfEFMu6nX226kxIQYqkExSlCCEkTtgnubD4Ixw1WTOvCCGEkFh9B0JYwi1U9qMpZmlBCbdI3EPacYUcqfU7Kq2g8jGl7rmWWjzSYBx+pYaBmd2W0AQBrW/XQr/QclMg0w4urM/szGcKUqnarMWeiaQdTH6d6WxUfP65LP3Rj5QI44XW7dtLfXX1UYGpsfFomZ5PpNJlbgWDBzev19y273eU7aFcT+VegaYm2TVvnmM5YDzR2VgYB7vzkXSGohQhhMSJVAhfJ4QQQiIhVImd23dgqO9CLWaZJXFe3UPmmIBZPqjX0yyQ9XIcr36OHQhIm3dXWcKa3XmFtZ85pESONDQEzY80BSqsT69Hlwz26NguZecLZiaSzkBCaoxTSLmmrrzcsyAF+n7ve1YulJPIhfuQ6wRRx1xOi1B2ocd0UyVTbpNbdz5C0gWKUoQQEkeSMXw9WrCbICGEZCZeO8ZF8h2oxSzdNU8LSXAX6XDxUBlWuuzPzHTs1iFP+hYXKFEJ3POPZUpNOv+Eo6WBqkOgSxWZdmzBdWUH69eleW5lf3a0uGUKZak8X7B3octu21aV5enyuLBK82xAPEIJG8LK83r1kpyOHSW3a1cpf+cdP3EK4hOWKZs501cf2ajGc2DdOmmoqfErKwRYp3ZT6TE7lSASQqJLdpTXRwghJAPRk38Ew+In/iaExId3331XLrzwQunRo4dkZWXJv//9b7/H4U6YOnWqejwvL0/GjRsnq3zt1QmJBva8KIgv0QTizL2XjVLiFALJUf4OB1Kw75yADCvxbzKyq7JGiUBrtu1X61Ai0/pyv/VB8NIRRG7Verp7n4nOiDJlF2x7e0W16/ejFt+wf+nQkRcCDkShgiFDpGTiROVUKl+woPnBlvTZys6W/D59rO55NVu3qpK96k2bAgQpgGXq9u2zsqQgNqE0b/OMGaqUEKKTfcy69A/PxTJOyxJCogdFKUIIIUl/QkIIcae6ulpGjhwpjz32mOPjDz74oDz88MPq8WXLlkn37t3l3HPPlQMHDvCwkqgA8UZ//scyAwlCDbrY1dY3hPzOsY8JziOIPQO6F/o1G1n2pX/pHUQnc33oEjhmULF6Lm7InwpGaY8iVbpn6i64DyxdvzvohRu9f6kuSAFdMndgzZrmQHOfIBSAT/ErGjky9Ep9bieU3FkCl4/qjRv9/t722msqJNwkOzdXikaMCCgrNIGDCvcrYUoF8me5LksIiQ4s3yOEkCQhlcvf7AG2qRjKSkiqMnHiRHVzAi6pRx55RKZMmSLf+ta31H3PPfecdOvWTV588UW5PlibdEKSNDMx2HeO+V2qy/60Z8nMidLPbWXaoIxueWb5nw5m1+WHeGzOp2V+5XYAa1q3vVLdTDq1z/UrHXzh3XV+4wk1F0jF+YGZKRWsXA8iUenkyWr5ys8/d86GAllZUjR0qJTedJNyNMEpVbV6tev24aCy01hbawWh67HpzCldomcvO7QvSwiJPhSlCCEkhfI4khWGuBOSnGzatEl27twp5513nnVfbm6ujB07VhYtWuQqStXW1qqbpqqqKi7jJalLPDMT3b5z7N+lKPPTOVRmxz4zo2rDzirLzdSpfVsrywl5VXY3lhnOrsUp3I+yPLigtDhlZ+ueg9Zj+P+XO6vUOO3f9U5zAZCK8wMncceJtl27qp+HysrcBSmA4wcHk49jb79ddsyZE+CQspPTpYt6ri7hw3gKhw+Xpvp6KR47Vi1j7xKImw5BB+x8R0hsoShFCCFJWv6WCpPOcE5IUvFKLyGpDgQpAGeUCf7esmWL6/MeeOABuffee2M+PpJZRPN7wOk7x/5ditI8p+9W3OzLDu/VSZXOBXNj2cevb9Pnr1Wil9kh0GTbvkMytGdHWb2tQv2tl4EwZgpqz7+7rrlCzTemF99fL7v216j1ptr8AG4mLe4gMFx1v3MA+U64qc54IYCTCgIS1guUIOVzYeV26ya1uwLLIhFejk57WniCQFb52Wfq96pVq6R4woSAcr5hU6b4hZoz4JyQ2EJRihCSdGSieJHu5W+p7gQjJNVBALqJas1uu8/kzjvvlNtuu83PKdWrV6+YjpGkN/H4HrB/l548oFi5kuzfrRjLjn3VQXOw7G4sgPHjXw22ga57J/bvKpvLq1RAuhabkCfVs3O+vLRogzQYCtXm3YEZbnBq6XwpvW4dko4xmWWAWphKtfkBPmt0mZ4qnYP4ZDqidGlfMJfU0ZWp56999FHJ6979qAsrO9tPkMrv319a5+VJu969VUYU0AJZ9ZYtKo9Ki1DqmPt+j2WJHrv4EeIORSlCSFKRqeJFupe/pYMTjJBUBKHm2jFVUlJi3V9eXh7gnjJBiR9uhKTS94DTd+mQnh38/jbnGWD0oK5WXpS+KJbbupUKU4fIpd1TKOcznVDouufUee+9NTscx3aorj7gPn0csE4zc2pAt0I5ePiI7NzfLKiAwnY5cus3RgQcs2S7kKfFl1Z5ec3uKC06+Y53t/HjpWDwYPVYqNI+swSvbs+e5j8aG5XDCTcLm6DVuqBA5VTBHQVQloeuenBAYXy73n7b2jbGosjKkt6XXBITVxS2aS8RpPuKkKNQlCKEJBWZLF7EM48j3qS7E4yQZKVfv35KmJo7d66ccMIJ6r66ujpZuHCh/Pa3v0308EgGEe3vATcxxv5dav/bPs/o0THfT6wy3UrmxTE9/kjokJ8jVYeO+GVO6TEgj6pv10I/19Z3zyqVNdv2y8wPNljLTzyhWTjzciEvUUKVFl/83FB6n30up/w+fVQeFErq1j3+uFRv2iT1ITqB5vfufVSU8gDK87BuE10+COcUBKrGw4etskItUEGUinXouy4RpChFyFEoShFCkgqKF+lJujvBCEkkBw8elA0bNviFm3/66afSqVMn6d27t9xyyy1y//33y6BBg9QNv7dr106uuOKKhI6bZBbR/B5oiavabZ5hilWmloIue1rYQsmekztK45YpBScWBCa9fgSwo5wP5XsISEceFe6rq2+wjo3en4++LJdRA4qV4+uefyyTfQdqrQ1V1dQF5E1pMUuXGcbTcQ7xJaA8z6Sx0SqPQ/c83QkvFBXLl4c9lqovvgi4TwlTvvHBrRRLsShYRz928SPEH4pShJCwieUVOIoX6Us6O8EISSQfffSRjB8/3vpbZ0FdffXV8uyzz8odd9whNTU1MnnyZKmoqJAxY8bIW2+9JQUFBQkcNclEwv0ecJtvBHNVh5qjuM0z3JxQEIx07lOnglwRh+q8kg55MnZYTxWsjgwru0sKpYAIOt9WUS0jeneWa88eHNDdD4IUSgWxrXtmLlPCE8QsLKtFuGBgPTmtW1nuKuX2Eomr4xwle8GyoUomTlQ/V06bJtteey2mY2k6csT5Ad/4ymbNUiHosRCLvnjoIUsAc+roR5cUIf5kNen0uQwAIZ1FRUVSWVkphYWFiR4OISmJeXUSE6BYXYFLtowEQkhmwrkDjwNJvvmG22Ne5ihO8wszS8ouLEHYGVPaTbma9Ho75efKvuragDGbHfaCgTD0CSN6+o0VLqyDtUdk+75DfsueUlosZXsOBtzvxCmDimXJhnLL5QVaMk+bNGmSzJ49O7zSvSAUjRypSuuCuqk8gIypjscfLwfWr5f66urm0j6XdWa1aSNtioqkbu/eo/Y3H7qLX9lLL6nHIFJFIhiZrijgdxyys6X/NdeoPCtCMo0qj/oLnVKEkKTLfMrUsHNCCCGEhJ5vuLmdQs1RnOYX9uwmCEamKOUr5jsaRJ4ljoIUMAUpOKTa5bRRmVFOYejo0IftozwQbiy3skA85gWMCyWBOlMcP1ESGK/505ZZs45u2AUlSIEWCFKgdX6+FJSWyq5585TLCeT17Ck127YFrBuOKac8Kl2uB+eSXg8C0MMNIbeHmBdPmOB/HIySRUKIM9ku9xNCiCO4shishXI0cJpUEkIIISRzCDXfgNiCcjdTdAn1HPv8AoKQKUhpwcjXKE5KexQp4QhldPo5XmtMzh7eU3p3zXd9XG+3pGO+cmO1FIxrl69b35hBzaIdSv/iAYSZ8rffDipIRZNDW7ZY5XE6DyqnU6dmQUq/eCbZ2dJtwgTp5hObzHI9M1cKy6199FG1P16x51LVQgAzjgNKFlmuR0hw6JQihCRd5hPDzjMXlm0SQggJd75hfncEe459flG2+6Dj+lSjuKwsGd6rk7UO09XkBWwfN7flIZ08/+46yYWgEeFLbjcm4dfmjoLtPGdsRQM/YSeeQITyCVPKheXm1GpstErzIDhphxSoLiuzBCksV7VqlXI+eXVM2UPMc7t0OVpKmJ0teSUlsdhzQtIKilKEkKQLrGbYefoSbHLMsk1CCCHhzjecvjt0YDjCxM3vG3N+YYaC23FyWuG59g59bvTqlB9SzMIa7KHooTA1F6uc0Oj4pzvxbd9XbYWzxyMOwS7M+I25TRv30PEW0vHEE/0787m8Lu369FHB5kcXa1Ld/+C20uV/cFqZZX5Y3osohWXMEHMA1xg77RHiHYpShJCkhJ3a0o9QolM88sq8jJEB+4QQkjq4lfy7fd/o+QUEK1PQAchgGtKzg6vTCkHoOlcK+scppd2kTXa2rCjbK5WH6qzlTh5UHCBm2bcVLhC6cnNaSUmHfDkC4SdLpG/XQiWs6f0vys+R/dV1snTDblm8vlyFpMfjexXCzMDJk2X7a69J3f79Un/ggPVYTseOUltebrmHWhcU+D1uF49QmheKdr17S49vfKO5hM9lPW06dFAvUuWKFWqduCEzCpjlerrsTnUONPGVAZoh5m4iFe43H2OnPULCg5lShBBC4kKorLB45JV5Ec1eXbpZ/dRXmQkhJNPRrqNk/Fx0+u7wkk2J50EkyjIEKWQwOWVVAew7BCAlLvlCxO+9bJTqondszw5+y8KF5bQtO+FkSW3dVy0bdlapzKsl68uV8woCGgS30YO6qmUgSAEtnGEL8fhehXADgejQ1q0BgpMSpNSgGpWzqfPo0c4ryc72JEgBCE6733/f9fFDZWWqnK9t166BGVPIBTPK9bRA1fPCC63HQe9LLrFCzDfPmKF+2rOm8PfKadMC7odAhW57zJIixBt0ShFCCIkLobLCEl22mQxOLUIISTaSvbTa7bsj2PdNsOd5/Y7YvLtK7pm5TDmS7OiyQLegcdORtear/X5d+7ygs6PwfAhoTk4sCGdwccXje3Xd4497Ws6v1M5OkI58rYuKpL7yaHdCuJ+CAlEOZXlOGVO+xyBEIYQcmVLFY8fKsbffLh1HjpSyl16ynmMPMUeJnhaa7F33wu3aRwg5CkUpQgiJAJZ5hY+XE4BElm0yYJ8QQlJTsLd/d3gVnML5zrF/R8CpFMzpZApTyJTS4Pl19Q3Wdldu3SeRoLKjKpqzo/ZUHnZ0YsFVBScXhKtYUlcRnqgWLjmFhX6ilCM6XNz3O4Sk7DZt/BaBCHXMRRcpcSm7bVsrUwrh5hCkwK5589R9KPVDSaIWpHS3Pk0wwYoQEh4UpQghUSUTxJpkv2qczCRzVliinVqEEJKMpKpgH+3vG/M7AkHiyG0KFXiuhSkz5FwfQz2XCIZbMznN0vW7g3YDxPMhiMV6XobSN7d8p2iAssBQFB13XHMHPp84BUGpfMEC//WUlVn5Tyi70+IVfkJUQgC6KTQ1Hj4cEGKO5yF/CutyE6wIIeFBUYoQEjUyRaxJhavGJP1EM0IISQQU7P2PBW7T569VZXuhwsvx+Edflvt17Bvco8gKWg9G29bZcrjevaQNOIliOa2zpc73PDwM0SrW8zKUvumOdQg6l/p6iTdN9fUBglLxuHFStfroce46dqwVXH54586jzqrGRuWcglvK7CIIoUmLWLpcz3Jk4aeIFI8fr/Kn6JIiJHIoShFCokY6iDVenF6petWYEEIIyTTBPtj3utNjoeYBOvBcPHTT09lPpni0dnulTHtpueyqPBSwfJf2ubLnYK36PZQg5cbAbkV+GVUQxmI9L4Ngc2DtWqnbs6dZ0JH40yo316+jnhaUwO6FC5UgBdFJ50CpZbUVLTtbiVhY3q1znlmup/CFpOf37k1BipAWQlGKEBI1Ul2s8er04lVjQgghJPm/01G65uYUcvrOB6HmAeYFOCdKexTJuu1H84/W76x0zHpyYn9Nc/e8SOiQnyPFhXmyr/qwqzAWi3mZ5SDyda2zRJs4o0LUfS6mdn36qPD1LbNmSZ9LL7WcXCi9s4QlW/c9XX6nnVF2upxyinJRmU4plu0REh0oShFCokaqizXhOL1S+aoxIYQQks7Y85rwvQ7NxPxed/rONwUct3mAvgDnVLqnntvY5Cda4UeobChNfUPkHqP91XXqZmdoz44y5JgOMZuXQfjxvIOxxleOd2jLFuuu8rfftjrjaWFJC1HInYJDynRF6fI+LGuKU6aLCqV+9ucRQiKHohQhGUA8w8dTWaxJdacXIYQQQpzdTPg1p3Ur1+98dLLr27XQEqTMQHI9hwL4/fLTB6oOeljf5t1VlhsLzxk1oFg27KyyRCut1/To2E62VwSW7MWawvycmHXf++Khh5Tok9RkZVmd8YKV55muL4hWEK+0mKVxc1ERQloGRSlC0pxMCR+PBqnu9CKEEEJSkWhfPNOCkwlEIghJ5vbOHFIi63ful537a6xOdlpw0hemzDmUSY+O+dLY1CjjhvWU84/vreYOuysPy7Ivy5U7qbahQXJbtZLt+6uVg2lHAgQpsHjdLrn6j/NlUPcO0qWobdSOMQScWHbcixpNTX6d8bSoBDeU+be+zwxL12IWISS2UJQiJM1Jh/DxeJLKTi9CCCEk1YjFxTN9kcnMlDKdT9ieveJMz5MgSMFZhOWef3edFRRuB84qgNBzCFkQpNyyokCo4raCtq3lwOHYdK2D6IYbiNYx1qJOslMycaKfsBTMDWUv7zPFLEJI7KAoRUiak4klafEsVySEEEJI8l080xeZMCcwHdBPvbXaNahcl/FNn79WiU1KuPK5rIKJSrM/2iSHaiMP+G7dKitukUzYl2gcYyv4O8nZ8eabSojSwlOZLwPLyQ3lpbwPz8dLhQB1uqgIiQ4UpQhJczKtJI3lioQQQkjqEOuLZ3YHtBVU7pLNvWRduXJX6cfxc0C3QtlZcUgO1jo7mVoiSOmA84MNsXFJ2cEuR+MYV3z2maQKEJIgIEFU2mVkYDm5odxyo6wugw4B6oSQlkFRipAMIJNK0liuSAghhKQOsb54ZndPm9tDUPlHX5bLl7uqLIHKckY1iV94OZxTkZLbOltq65s7wyUDb6/Y1uLjvP211yRVgBC19Ec/ksO7dx9Nns/Kkm4TJngWlVS5oqlkGgHqhJCWkd3C5xNCSFKBSae9cw4hhBBCkhcIJMhxioUghfyoV5duVj/xt7m9a88eLN89q9RyRIlRqldaUiSjB3VVAlatLyDdpF1Oa+nVKd/TOJJJkALIvtLHIlLadOwoqQSEqcoVK46KSk1N0vuSS8IqV/Sz1tkC1AkhkUNRihCSVugroBeN7stOg4QQQkgG4+Sedps3XDy6nwosH1NarO7fsLNKlfHpC152DtXVy9Z9zWHndiBo+TSupOXF99e36PldzzhDko3stm29LQiXlM/h9P/buw/wqKqtDcArIRACJAGCSA8E6QhIFekiICACioAUQYQrFwsI0kGKFEWaojQLAoqABbGAilJElGpAmhTpJXQIHULO/3zLe+Y/M0ySSZuS+d7nmWRaZvbsM5mzZ+2119kxZowuzUuKWW8K2VX4Wy7dI0o7XL5HRBmOPy1XJCIiotTVq7KOG6yF0M1AVnKyrvPlDJHKUffI3pOXEiyo7g32nrikBd2RLZZcuydNkv3Tp4u3ierW7a52BYWFSVxsrP0dDUNCS5b8t0ZUYKAWbL+vVy8p069foo+fUL0pIkodZkoREZFHYOkABv+pXUJARESUVtnTzsoAmBlXrjh18brWn0LWFZ63Tun8Xrtx0M7k7oORVeSRgJRj/wcG3pX5hKBS3oYN7e4TUb263d+bWU53rl//9zHi/11aidfkSsYUEaU9ZkoREZHb8SiJRETkjdnTCRVe1yP2/a/elKlAruwSc/GaXTYUziGAdSvujtatwuSLN/th69Fk9Q+OZOcRjhln/wsmmYElwzA0qBTZtq0eGc+8HhlRqB2FouSoAWXNdEKGlE1gIAuXE3kIM6WI/AyzU8hX6nwQERF5Q+F1W92pGsU08+m+fGGaCfWfRmVs+zETzuE6HNkPAangoExevRF3HHF9/4ugDwqGe5MsuXPr7zOrV/+7HE9El+Jp0Cow0JbVVW7oULuAFM7r/eB/ASwWLifyDGZKEfkRZqeQr9X5ICIi8uaMKzOrCkEoLIcz83lw3tzHIZD1x74YibvjffWlrtyIkzGf/ynDnqrsvVlSicgUEiIBmTKJceeO/kZGFLKmHK+Ds+vX61H0zOAUlvvlqljRaRYVEbkPM6WI/AizU8hb8CiJRESUETLPAVlVN+PuOM2YwlVr/z7plQEpE9qHoudJubx/v3ibgi1a2IJP+I3gEgJP1utwVD5kUR2aN09/W2tHIRDlmEVFRO7FTCkiP8LsFPImPEoiERFllMxzxzGWWVvKW4++5wiZXaUL5kywvhQCOdcOHxZvg0wnFC53zHayXocMKcfMKQahiLyHzwWlbt68KTVq1JBt27ZJdHS0VKpUydNNIvIZCRXvJCIiIqKUZ54jW8o6xgKc33H0vOw9ccnu75E9hVhVUKYAr8qgSqzouTcu3TOLkzvLdMJlx6Lm1mwqIvIePheUGjBggBQoUECDUkSUfMxOISIiIkr7zHPHMRbOY1mcNSiF+lK34+Nl/d5TcseLAlKANiELzFlg6tSaNeJ1XCxOjuCUs2wqIvIOPhWUWr58ufz000/y5Zdf6nkiIiIiIiJvzTxHrSkzMwq/7wnP6tLSvuzBQXL1Zpy4G16T4+vRGkxx7m+LVVBYmNxTq5acxHfA/3Uojp7naoDJMXOKiLyHzwSlTp06JT169JCvv/5asmXL5vJSP5xMsbGx6dhCIiIiIiLKiHBEt1u3bkmWLFkkICDA5czzhLKqrNc5alI2t+TKlVMWrjsg7nbm0vW7rju8aJF4WlxsrBRq1UpPzHgiyliCfGUn0LVrV+nZs6dUrVpVDh065NLfjR8/XkaNGpXu7SMiIiIioowJ30UOHDgg169fl5CQEImKitLAlCsQuBrRtopsPXBGKkXdYwtkWTOtbt++LV//sVevr140h5TPn02KFCkov2w7ImeuuDdD6WDMeX291teHYFy6y5IFT5TgzWaBch4pjyjjCfTkk48cOVI/8BI7bd68WaZNm6ZZToMHD07W4+P+ly5dsp2OHj2abq+FiIiIiIgyHgRlEJAC/E5OkAYBnnuDrkrdwgH6G5cBwSkUR8fvOuUKSq8GRaRbzbwakMqcObPExMTIoEYFpUKBEAly4ze2Unmz2r0+tDdL3brp/rzZqla1u5z9wQclvE2bfy8EBrJAOVEG5tFMqRdffFHat2+f6H2KFi0qY8aMkfXr10twcLDdbcia6tixo8ydO9fp3+L+jn9DRERERETkKizZQ4aUmSmFyykNaF25ckVy5Mhhl4mE88WLF5cbN27IsWPH7MqPdKmRV38v23lBoo9dlcAAkZDMmSQsaybJFCiyO+a63I63f048cnJLqOOx6t8XJs3K5ZI7d+7YrsfEfvYaNSTvkCFyety4ZD7qvwElFCS3b2CABOXLJ1mKFZO4mBgJqVxZcnfuLFc3bJAbO3ZI1vLlpXSbNppQEFyypF4X1bgxa0IRZVABhhmu92JHjhyxqwd14sQJadKkiXzxxRdSo0YNKVSokEuPg8cIDw/XD9ewsLB0bDERERFlBBw72PfDo48+qlkcn376qQwZMkQOHz4s5cuX14lGlFkA1ADFcqSPP/5YL3/00Ufy5ptvyp49e+S+++6TYcOGaVkG6Ny5s9YKnTVrll6ePn26nsdRlgsXLixvvfWWbQKzbdu2kj9/fnn77bf18pQpU+Szzz6TjRs3St68efXvWrdurbe1bNlSSpUqJRMmTNDLb7zxhnz//feydu1aHQN+8skn8sQTT0hcXJyOKatXry6vv/66LZN/3bp1smLFCp3c/Pzzz6VDhw4aTKhXr540btxYhg4dqvcdNGiQ7NixQ7777ju9/M0338izzz4r586dk5o1a0qbNm2kX79+elvfvn11TIvxKyxevFheeeUVOX78uDzwwAPy3HPPaT9Cr169dLyKfob58+fLiBEjdAlZmTJl9LHQz9CtWzdbP8P7778vkydPlt27d+syM5SyQD8DJnOxHdHP8O6778qHH34o0dHRUrBgQe1T9DOg7UWKFNHHgkmTJmnb//jjD4mIiJA5c+bI448/rrc99thj+j5AP8PYsWP14ERr1qzRAMyCBQvkqaee0mBLo0aNpFatWtrPMHz4cN2GP/74owQFBclXX30lnTp10vdcnTp1pHnz5trP5lG48T5aunSpXl6yZIk8//zzcvr0ad2GTz/9tPYp9O7dW06ePKn9DAsXLpT+/ftroKNixYr6d+hnwPlr165pPwPeu5gU379/v76PBg4cqP0cHx+v2xdBKfQzzJw5U/sR74PIyEgZN26c9jOgPblz59b3If4WqzjQ9r///luDUO+99548+eSTel+8d/GeR98BXseqVatk69at+p7F9S+//LJmLqFfSpcubWvDCy+8IJs2bdJ+xHt24sSJ8uqrr2p/o1+qVaumz2X+f+L58b+AYNg777yj72f0d6VKlaRBgwb6PggNDdX3Mf7nV65cqX+L9wJe39mzZ6Vs2bK6/c1tjtd68eJF28GocD3+V7EN8H+P283/Mbxm/O+Z23H06NH6/kWJFvQBtgeeB0G6Zs2a6XsW/1v8jOBnhLd/RgD2b9hPuvoZERERobcD/h/nzZunq8Wwv8P11s8IfG7g/xvwuYLXif1Vrly5NFGnVatW+lmD/xvsV8zPE/yPrV69Wv+XEVhftGiRtGvXTgPlDz/8sNSvX19ee+01vS8+D7BPWLZsmQQGBmpN7y5dusiFCxf0sxv7V/Qz4HPmn3/+0X4GHJAO+zH0KxKI0OYKFSokGX/xiaCUI3xgFStWTDsLH56u4sCSiIiIkoNjB/YDUWrh6xaCmgjimkqUKHHXig7cD1/wEIzxNASHEKBEMNITEMhC/1iLyxNRxhxDebSmFBERERG5DzJkMLGXNWtWqVKlimZLEFH6QkAFGWPIUICElgCay/gQkMEJ2UjIrPAEZIukV4FzvHa8TmtQDufxuQT4jcvoD9wX7fDBPAoiykhH33NWZ4ofTERERESuQ7p+nz59NDCFFHwsd2vatKns2rVLl2kRUfpBgAXLKZPK/MH1ZnAGzGAWltkgUIPvQHgMLGPCeWv9J2+H14/lQGbACYE3s36WGaCy9k9qjnpIRL7DJ4NSRERERJQ8qAeDukXdu3fXy1OnTtU6PjNmzJDx48ezO4nSGQIqyT0Ik2MwC6znEbDBCUtjsPQPtZq8VaZMmexev2MADqy3OzvqIQ9iRZTxcPkeEZGP+2PPKZn50y79TUTkDL7MbdmyRYt0W+Hy77//zk4j8oFgFn47nseBAlAoGYWVS5YsmawjA7oT2pzctplHPYTkHvWQiHwHM6WIiHwYAlEjF2+WwIAAWbLhoIxsW1VqlrrX080iIi+Do2Vhmc+999p/PuByTEzMXffHkhrrYemtR0EmIu+EpXEooI7/3WPHjmnBdARyULQcQSFkGx08eDDdnh9LCrEkD9laWHqHI0uiDXhu1JBK7tI7V5c8EpFvY1CKiMiHbTt8TgNS8Yahv/86fI5BKSJKkOOXOnxxdPZFD8v5Ro0axZ4k8jHmkjgEgRyDOdmzZ5dy5cppcOr8+fNy8eLFVD0XDlmPQ9Hj8a3PheAUOGtDSl4Pl+wRZWwMShER+bCKkRGaIWUGpipERni6SUTkhfLkyaP1XByzok6fPn1X9hQMHjxY+vbta5cphWwLIvINCQVzzCV/OBUsWFAzmZBZhf9xVzIiccApBLccg0wJPRcDSkSUFAaliIh8GJbqYckeMqQQkOLSPSJyBpkKVapUkRUrVkjr1q1t1+Nyy5Yt77o/vkjyyyRRxoagEWo14ZQzZ06723bs2GE7X758eQ+0joj8BYNSREQ+DoEoBqOIKCnIfOrcubNUrVpVatasKbNnz5YjR45Iz5492XlEZAeBqNDQUAakiCjdMShFRERE5AfatWsn586dk9GjR8vJkyf1y+ayZcskMjLS000jIiIiP8WgFBEREZGf6NWrl56IiIiIvEGgpxtARERERERERET+h0EpIiIiIiIiIiJyOwaliIiIiIiIiIjI7RiUIiIiIiIiIiIit2NQioiIiIiIiIiI3I5BKSIiIiIiIiIicjsGpYiIiIiIiIiIyO0YlCIiIiIiIiIiIrdjUIqIiIiIiIiIiNwuSPyIYRj6OzY21tNNISIiIh9gjhnMMYS/4hiKyP/cvn2b35uIKN3HUH4VlLp8+bL+Lly4sKebQkRERD42hggPDxd/xTEUkX/y5889InLPGCrA8KOpv/j4eDlx4oSEhoZKQECAp5uTYaKfCPIdPXpUwsLCPN2cDIV9y/71VXzvsm8z0vsWwyQMpgoUKCCBgf5b9cBbx1D8vPEd3Fa+hdvLd3Bb+RZ/2l6Gi2Mov8qUQkcUKlTI083IkPAPldH/qTyFfcv+9VV877JvM8r7lpkC3j+G4ueN7+C28i3cXr6D28q3+Mv2Cnch29J/p/yIiIiIiIiIiMhjGJQiIiIiIiIiIiK3Y1CKUiU4OFhGjBihvyltsW/TF/uXfeuL+L5l3xL/J3wVP798C7eX7+C28i3cXn5e6JyIiIiIiIiIiLwDM6WIiIiIiIiIiMjtGJQiIiIiIiIiIiK3Y1CKiIiIiIiIiIjcjkEpSrXx48dLQECA9OnTh72ZRo4fPy6dOnWSiIgIyZYtm1SqVEm2bNnC/k2luLg4GTZsmBQrVkxCQkIkKipKRo8eLfHx8ezbFPj111+lRYsWUqBAAf0M+Prrr+1uR8nCkSNH6u3o7/r168vOnTvZ16ns29u3b8vAgQPl/vvvl+zZs+t9nnnmGTlx4gT7Ng3et1bPP/+83mfq1KnsWx9y8+ZN3W9i223dutXTzSEHhw4dkueee862Ly5evLgeNOfWrVvsKy8xffp03T5Zs2aVKlWqyNq1az3dJErgO1i1atUkNDRU8ubNK61atZI9e/awr3wAvz/bY1CKUmXTpk0ye/ZsqVChAnsyjVy4cEFq1aolmTNnluXLl8uuXbtk0qRJkjNnTvZxKr355psyc+ZMeffdd2X37t0yYcIEeeutt2TatGns2xS4evWqVKxYUfvTGfTv5MmT9XZ8VuTLl08aNWokly9fZn+nom+vXbsmf/75pwwfPlx/f/XVV7J37155/PHH2a9p8L41IVi1YcMGDV6RbxkwYAC3mxf7+++/dTJo1qxZOlExZcoU3TcPGTLE000jEVm0aJFONA8dOlSio6OlTp060rRpUzly5Aj7x8usWbNGXnjhBVm/fr2sWLFCJ18bN26s+znyXvz+7ASOvkeUEpcvXzZKlChhrFixwqhXr57Ru3dvdmQaGDhwoFG7dm32ZTpo3ry50a1bN7vrnnjiCaNTp07s71TC7mTJkiW2y/Hx8Ua+fPmMN954w3bdjRs3jPDwcGPmzJns71T0rTMbN27U+x0+fJh9mwZ9e+zYMaNgwYLGjh07jMjISGPKlCnsVx+xbNkyo3Tp0sbOnTt1+0ZHR3u6SeSCCRMmGMWKFWNfeYHq1asbPXv2tLsO/1ODBg3yWJvINadPn9bPvTVr1rDLvBS/PzvHTClKMUTmmzdvLo888gh7MQ198803UrVqVXnqqac0FfeBBx6Q999/n32cBmrXri2//PKLZpXAtm3b5LfffpNmzZqxf9PYwYMHJSYmRmfsTMHBwVKvXj35/fff2d9p7NKlS7pUiRmVqYcMjs6dO0v//v2lXLlyafCI5C6nTp2SHj16yPz583XpO/nWZ1ju3Lk93Qy/hyWUKBdh3XcDLnPf7Rv/R8D/Je/F78/OBSVwPVGiFi5cqMtGkH5IaevAgQMyY8YM6du3r6ayb9y4UV5++WX9Qo+6MZRyqMODHXbp0qUlU6ZMcufOHRk7dqw8/fTT7NY0hoAU3HvvvXbX4/Lhw4fZ32noxo0bMmjQIOnQoYOEhYWxb9NgmW9QUJB+7pLvQOJb165dpWfPnjqxg7pF5Bv++ecfXUaPUgXkWWfPntWxkbN9t7lfJ+/9DMR3B0zAli9f3tPNISf4/TlhzJSiZDt69Kj07t1bPvnkEy2ASGk/S1+5cmUZN26cZkmh0C5mfhGootTXScD7dsGCBRpUnTt3rkycOFF/U/pA9o7joMnxOko5FD1v3769fm6gMC2lDjIE3n77bfn444/5PvUSOFgCPjMSO23evFmDGrGxsTJ48GBPN9lvubqtrHCAhkcffVSzw7t37+6xtpM97rt9z4svvih//fWXfPbZZ55uCjnB78+JY6YUpWjQfvr0aT0ahwmzKjiiEQrH4qg3yEKhlMmfP7+ULVvW7royZcrIl19+yS5NJSzHQUYJvsQDjl6GrB0cAaNLly7s3zSEouaAmVW8p0347HCcgaWUB6Tatm2rSyVXrlzJLKk0gCNM4T1apEgRu/1bv3799Ah8zL7xzBct8zM7IUWLFpUxY8ZosV9kFVsha6pjx46cfPCibWUNSDVo0EBq1qypB80hz8uTJ4+O4R2zorjv9m4vvfSSlv/Ad7FChQp5ujnkBL8/J45BKUq2hg0byvbt2+2ue/bZZ3VJFJZHMSCVOjjynuPhXFEDKTIyku/WVMJRywID7RNE8X5FlgmlLRxKGoEpHA0GGX9mrQocKQbLoyhtAlL79u2TVatWSUREBLs0DaCWlGOdxCZNmuj12M+RZ74k45SUd955RwNT1oAHth0yZGvUqJHOraTkbCs4fvy4BqQwwTlnzpy79s3kGVmyZNFtgn1369atbdfjcsuWLblZvAyyzxGQWrJkiaxevVrHXuSd+P05cQxKUbKFhobetVY5e/bs+qWIa5hT75VXXpGHHnpIl+/hSydqSmEGkbOIqdeiRQutIYUsCBQwxqGOJ0+eLN26dUuDR/c/V65ckf3799suI2Nn69atWmATfYxDSuN9XKJECT3hPIoPo/YRpbxvCxQoIG3atNElqN99951m8piz2rgdXyoo5e9bxwBf5syZNcBaqlQpdqsXs2a3QY4cOfR38eLFmTngZRAwrF+/vm4zLKE/c+bMXVm25DmoS4RAPLIMzSy2I0eOaL028r6i2ShJsXTpUv1+Zo4FwsPDJSQkxNPNIwt+f05CAkflI0qWevXqGb1792avpZFvv/3WKF++vBEcHKyH4Z09ezb7Ng3Exsbq+7RIkSJG1qxZjaioKGPo0KHGzZs32b8psGrVKj30sOOpS5cuent8fLwxYsQII1++fPperlu3rrF9+3b2dSr79uDBg05vwwl/R6l73zqKjIw0pkyZwm71Meb/SXR0tKebQg7mzJmT4GcYeYf33ntPP/uyZMliVK5c2VizZo2nm0ROJPR/hP8x8n78/vz/AvAjqcAVERERERERERFRWuICbiIiIiIiIiIicjsGpYiIiIiIiIiIyO0YlCIiIiIiIiIiIrdjUIqIiIiIiIiIiNyOQSkiIiIiIiIiInI7BqWIiIiIiIiIiMjtGJQiIiIiIiIiIiK3Y1CKiIiIiIiIiIjcjkEpIvJZq1evloCAALl48aKnm+KTRo4cKZUqVfJ0M4iIiDyqfv360qdPH6/YCuvWrZP7779fMmfOLK1atUqz9hctWlSmTp3q12OGW7duyX333ad97A22b98uhQoVkqtXr3q6KUQexaAUUQbz+++/S6ZMmeTRRx/1dFPIy7366qvyyy+/eLoZREREGc5XX30ljRo1knvuuUfCwsKkZs2a8uOPPyb5d3379tXgz8GDB+Xjjz92S1v9xezZsyUyMlJq1aqlfYuJzcROmPxMKQQKzccJDAyUe++9V5566ik5fPiw7T4IPlavXl2mTJmSRq+QyDcxKEWUwXz00Ufy0ksvyW+//SZHjhxJ1+e6c+eOxMfHp+tz+DPM6KWnHDlySERERLo+BxERkT/69ddfNSi1bNky2bJlizRo0EBatGgh0dHRif7dP//8Iw8//LBm0OTMmdNt7fUH06ZNk+7du+v5du3aycmTJ20nBA179Ohhd91DDz2UquczH+/48eOydOlSOXr0qHTq1MnuPs8++6zMmDFDx9RE/opBKaIMBOm/ixcvlv/+97/y2GOP2c2wYWc7aNAgu/ufOXNG08NXrVplC4IMGDBAChYsKNmzZ5caNWrYzRLh8TBA+u6776Rs2bISHBysMz6bNm3SgVeePHkkPDxc6tWrJ3/++afdc/39999Su3ZtyZo1q/7tzz//rLNHX3/9te0+2GljkJArVy4NlrRs2VIOHTqUrD748ssvpVy5cto2pKpPmjTJ7nYMDpo3by4hISFSrFgxWbBggUsp7Ym1Da8tW7Zs+ljWGVK8VqRmQ9euXTUNf9SoUZI3b16dNX3++eftAk+YVXvxxRd1lhR9iT6FXbt2SbNmzTSIhJm2zp07y9mzZ21/98UXX+hsG14T2vbII4/YUsGx/TALh+2JbYfZQXOWzjEVHwHG0aNH60AY/YfbfvjhB9vteL3YZnhtGFzjNVesWFH++OOPZG0jIiIib3bhwgV55plndJ+PfV3Tpk1l3759dvd5//33pXDhwnp769atZfLkyXZBJIwrMKaqVq2alChRQsaNG6e/v/32W6fPae5jz507J926ddPz5jhuzZo1ui/Hvjl//vw6nouLi0uw/adPn9YAmDnW+fTTT1163ceOHZP27dtL7ty5ddxQtWpV2bBhg9195s+fr+MmjPdw38uXL9tuw5gBYz30A8YjGIsiyJbccURSfQvoxypVquhYKyoqSsdXifUJxqX79+/XMSCgb/Lly2c7ZcmSRZ/P8brUMB8P2+zBBx+UF1544a7xcZMmTXSbYxsT+SsGpYgykEWLFkmpUqX0hJmYOXPmiGEYelvHjh3ls88+s102748gB4JI5mwN1tkvXLhQ/vrrL00zxjJA60Ds2rVrMn78ePnggw9k586dGmDBgKRLly6ydu1aWb9+vQ66EEQxByoIdiAgg50zBjdInx46dKhd2/G4GKAg8ILZRWR64Tye39WMIcxEtm3bVgdJCAYh6DJ8+HC74BwGmSdOnNBgDQJYaAsGb4lJqm2lS5eWiRMnSq9evTTgg8fH7Ngbb7yhwSITlsrt3r1bg4DYFkuWLNFBlNXcuXMlKChIt8OsWbM0iIbtgwDR5s2bdcB36tQpfZ2A259++mkdwOKx8bqeeOIJ3c4YnKHf8ffYnhj0/ec//9EBoTNvv/22BvHwWnB/DJQef/zxuwbi2HZY+rd161YpWbKkPn9iA0EiIiJfgokk7HO/+eYb3Xdin4pxze3bt/V27KN79uwpvXv31n0hJpHGjh2b6GNiLIRxEQI+ziAIg306Jq0Q0MJ5TIZhUgzPjeDWtm3bNKvmww8/lDFjxiTafgSAVq5cqRNX06dPT3Ksc+XKFR0vYAyD143nQlDNmhGPABMmEzE5iRMCKRjrmDAhhok1TFZizINlawgqOWbVJzaOcKVvsQwS49yXX35ZJ+4wXsJYL7FtgPEbngv96wnnz5+Xzz//XCd8rRD4QmAOY2giv2UQUYbx0EMPGVOnTtXzt2/fNvLkyWOsWLFCL58+fdoICgoyfv31V9v9a9asafTv31/P79+/3wgICDCOHz9u95gNGzY0Bg8erOfnzJmDiJaxdevWRNsRFxdnhIaGGt9++61eXr58uT73yZMnbfdBu/BYS5Ys0csffvihUapUKSM+Pt52n5s3bxohISHGjz/+6PR5Vq1apY9x4cIFvdyhQwejUaNGdvfB6ytbtqye3717t95/06ZNttv37dun102ZMiXB1+Nq25o3b27UqVNH+wztsN6/S5cuRu7cuY2rV6/arpsxY4aRI0cO486dO3q5Xr16RqVKleyee/jw4Ubjxo3trjt69Ki2ec+ePcaWLVv0/KFDh+5q97lz5/S21atXO31dI0aMMCpWrGi7XKBAAWPs2LF296lWrZrRq1cvPX/w4EF9vA8++MB2+86dO/U69C0REZEvwv63d+/een7v3r26X1u3bp3t9rNnz+o+f/HixXq5Xbt2us+36tixoxEeHp7gc0yYMEHHAadOnUq0LXgMjLdMQ4YMuWsM8t577901fjDbj7EB2r9+/Xrb/c3xT2JjnVmzZunYDWOHhMYM2bJlM2JjY+3GWDVq1EjwMTH2xPNu377d5XGEK32Lsda4cePs7jN//nwjf/78CbYF/fPwww8neLu1D9MCHi9z5sxG9uzZtd/wGkuWLKl94Kh169ZG165d0+y5iXwNM6WIMog9e/bIxo0bNUsIkG2DGTbUmAIU2sRsk5nCjQKamP1DBhUgnRgzgZhFQhaQecIsmDX1GjM6FSpUsHtuzL5hVgt/i3RunDDjZta0QtswA4gUZhPS0B2znJBWHRoaantuzCbeuHHD7vkTg0whLE+zwmVk+mCtPtqBfqlcubLtdhyFBen5JrwO6+tPTtvQ18gwQl+aBTStMBOGbDHrkkr0E2oMmJAq79gvyKyytgmZWYDnxmM2bNhQM7KQ2YaUdyw7ALQRs6XIeEIaPzKhMPPqTGxsrM6OOus/9KuVdfsjJR2SmoElIiLyBdjnYaxgzWjBUjRkoZv7Q4wnHMcxjpetkB2N7G1kqCPDPLntwXjBOqbAvhnjByy3S6j91vEExg3W5W/OxjrISnrggQcSzOQCLNvDWMg6BrDu/zEu6dChgy6nQ0YSlg6CY43TxMYRrvQtxkYoN2B9DWb9JmS3O3P9+nVd6pdaWMppPifKRSQGY2z0K7LOkGWPMWfjxo3tljyaSwkTajeRPwjydAOIKG0glRupz6gHZUKQCTWjEKRA4AU7R6RDo9Aj6h9hZ4qgBiC1Gkftw44ev63MAYu543QMtiDwgfpUSDfHUU1Q8wADKHPZHdqR0JIxE54ftQGc1T1AQM0Vzp7HulzRej6h+2CQg5TylLQNgw6kriNdPSYmRgoUKOBSu61tRg0Hx+dGQOnNN9+86+8wkMO2WrFihR518aefftJti7R4LJPEYBBLOJHejmV/GAwPGzZM74/aBkm1xewbx+vwnnK8PwveExFRRpDYWMHc5yU13rDCvve5557TpVuo+ZiS9iT0XM7GVondlthYB+O7pFj3/+ZzWPf/GK9gEhITZBgD4bby5cvfVYYhsXGEK32L+6L8AcoVOEoo8IRanWadz9RA+QoEuBxfhzOYpEUgCvAbY3WM3fCeMAuum0v7ihcvnuq2EfkqBqWIMgAEo+bNm6f1gDADY/Xkk09qMAUFtFFfCMW1EaBAUAoFs02YHUM2EWaq6tSpk6znxzp41CtAzQNA5o+1EDdm6DBLhlpIqGEFqDdghewlcwYxpev9UUAdM1FWCNYggwvBG7QDfYUj3yDIBMiAunjxou3+eH7HWUxX2oYBBYJzCAghIIUAIDKmrIM8BK0wkDGvQ/0tBPxQWDwheG7UvsLsJGY+ncHgDbOmOL322msaGES9KtR1MLctToMHD9ZgIba9Y1AKrwsDSPRf3bp17fovsdlfIiKijARjCYwVMLljHn0Nhaj37t0rZcqU0csYTyA73Qo1qJxlSKHmI36bBbZT0h6MA6zBGuybkbFknYg0oY1oP9pj7r+RfZTUWAfZSwi4YDyTWLZUQtBHyNJCfSdzHOk4JnOFK32LsRFekxnwcQXGQajH5cpEaWKc9bmrzElfM6hl2rFjh7Rp0ybFj0vk67h8jygDQLFJZENhJg4zUtYTdnKYmTGzcHDUOBT/xsABKdYmBG4QSEEhcBwVBcv7EDhChg4OZ5wYDApwNBY8JgZxeBxrMAbLBjEDhGLoWN6GIpZmoXNzYIC/wSwW2ocgF54fSweR2eUsPd2Zfv36aWHN119/XQePKBr+7rvv2mYDMdDBLCWKfWPAg+AUzjvL/rJypW1IhcfsIDKRcJQYDHocZyExU4hthKKcy5cvlxEjRmiwEJlVCcGRWjBARBFQtPnAgQOaEYVBLoKI6G8c0QcDNgT+sO2QtYZBKdqJQBSWaaIAO/7OOqh21L9/f93eCMBhsIej+yDtHK+TiIjIH+BgLdjfYzkYgiqYUEJRbQQjcD289NJLOjbC/h4lAhCIwX7dOpZAIApjKkwYYiIIE1Y4Xbp0KVntwUFUMNmH58TRfpcuXarjB0w8ORs/YJkhDsSC9mOMgAx4ZOUklQmFcQbKLGACE+M0jDcQDHP1CLvm0YlxABlM+KHIujk5lhyu9C0m4DAZiyWROOgOxp9mNnhCcMAaZLPj/u6CJXnmdsf7CNsSmVzWCWQUpEcx+5Rk0RFlGJ4uakVEqffYY48ZzZo1c3qbWQgbv+H777/Xy3Xr1r3rvrdu3TJee+01o2jRolqcMV++fFp88a+//tLbUXjTWRHPP//806hataoRHBxslChRwvj888+NyMhIu4KaKGBZq1YtI0uWLEbp0qW1CDra8cMPP9jug0LozzzzjBZox2NFRUUZPXr0MC5duuRSoXP44osvtLA52l+kSBHjrbfesvubEydOGE2bNtXHRxsXLFhg5M2b15g5c2aifZxY2+bOnauFLFEc1bR582Z9rehvs9B5y5YttX8jIiK0QGn37t2NGzduJFlkE4+L7ZAzZ04ttIr+69OnjxY93bVrl9GkSRPjnnvu0XahiOa0adP072JiYoxWrVpp4U+0Ba8Xz28WRnUsdI7rR40aZRQsWFD7D7ehSL3JLFAaHR1tuw59j+uwLYiIiHyR4/73/PnzRufOnXXMg/0u9rPWfTzMnj1b95e4HfvaMWPG6LjJ+pjYPzqeMB5ITqFzwAFLcOAR7MvxHAMHDtQD2iTUfoxZUCwc4wKMhebNm3fXuMwZHDTlySefNMLCwrQ4N8Z2GzZscDpmADweHtd6EJsyZcro81aoUEHbbT2ojavjiKT6FjB+xAF+cB+0t3r16vp3iWnfvr0xaNAgtxU6t273XLly6XUrV660ux8KtuP9ReTPAvDD04ExIvI/mIWrXbu2zqZ5ch09Mp2Q4fTzzz9rwfD0gqV9SJ3HoZSJiIgoY0FmEjKZkFFN3tm3qCmFjCTz4DWedvPmTc3MQ1ad44FmiPwJa0oRkVugxhHqJ2Hni8EAloRhB+zugBTSyXHEGhytDkdpGTBggNZrstZRIiIiIkrMxIkTtTwBSiNgeRlKBqC+Jnlv32LsN2HCBF0yh/OehtIKKGfBgBT5OwaliMgtcPhbBIBQFwH1mTBThToL7nb79m0ZMmSI1krALBmKmKIQfFJHUCEiIiIyoc4jAhwY30RFRck777xjd0Q18s6+RX1Tb4F6rjgR+Tsu3yMiIiIiIiIiIrfj0feIiIiIiIiIiMjtGJQiIiIiIiIiIiK3Y1CKiIiIiIiIiIjcjkEpIiIiIiIiIiJyOwaliIiIiIiIiIjI7RiUIiIiIiIiIiIit2NQioiIiIiIiIiI3I5BKSIiIiIiIiIicjsGpYiIiIiIiIiISNzt/wBBGsWVoTKRpgAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"logFC = fit['coefficients'][:, 0]\n",
"AveExpr = fit.get('Amean') if fit.get('Amean') is not None \\\n",
" else expr.mean(axis=1).values\n",
"adj_sig = pylimma.decide_tests(fit, p_value=0.05).ravel() != 0\n",
"\n",
"fig, (axMD, axV) = plt.subplots(1, 2, figsize=(12, 4.5))\n",
"# MD\n",
"axMD.scatter(AveExpr[~adj_sig], logFC[~adj_sig], s=2, c='lightgrey')\n",
"axMD.scatter(AveExpr[adj_sig & (logFC > 0)],\n",
" logFC[adj_sig & (logFC > 0)], s=4, c='firebrick')\n",
"axMD.scatter(AveExpr[adj_sig & (logFC < 0)],\n",
" logFC[adj_sig & (logFC < 0)], s=4, c='steelblue')\n",
"axMD.axhline(0, color='k', linewidth=0.5)\n",
"axMD.set_xlabel('Average log-expression')\n",
"axMD.set_ylabel('log2 fold-change (T - B)')\n",
"axMD.set_title('MD plot')\n",
"\n",
"# Volcano\n",
"p = np.asarray(fit['p_value']).ravel()\n",
"neglogp = -np.log10(np.maximum(p, 1e-300))\n",
"axV.scatter(logFC[~adj_sig], neglogp[~adj_sig], s=2, c='lightgrey')\n",
"axV.scatter(logFC[adj_sig & (logFC > 0)],\n",
" neglogp[adj_sig & (logFC > 0)], s=4, c='firebrick')\n",
"axV.scatter(logFC[adj_sig & (logFC < 0)],\n",
" neglogp[adj_sig & (logFC < 0)], s=4, c='steelblue')\n",
"axV.axhline(-np.log10(0.05), color='k', linewidth=0.5, linestyle='--')\n",
"axV.axvline(0, color='k', linewidth=0.5)\n",
"axV.set_xlabel('log2 fold-change (T - B)')\n",
"axV.set_ylabel('-log10 p-value')\n",
"axV.set_title('Volcano plot')\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "6f30ed98",
"metadata": {},
"source": [
"## 10. Heatmap of top 50 DE probes\n",
"\n",
"Rows ordered by signed t-statistic (up-regulated at top,\n",
"down-regulated at bottom). Columns grouped by BT."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e65d1140",
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-20T19:13:10.917239Z",
"iopub.status.busy": "2026-04-20T19:13:10.917091Z",
"iopub.status.idle": "2026-04-20T19:13:11.239761Z",
"shell.execute_reply": "2026-04-20T19:13:11.239502Z"
}
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 8))\n",
"ax, im, ordered = plot_heatmap(expr.values, group.values, fit,\n",
" n_top=50, ax=ax)\n",
"ax.set_yticks(range(len(ordered)))\n",
"ax.set_yticklabels(expr.index[ordered], fontsize=5)\n",
"fig.colorbar(im, ax=ax, shrink=0.5, label='z-score')\n",
"fig.tight_layout()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}