{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simulating FRB Populations with astropath\n",
"\n",
"This notebook demonstrates how to use the `astropath.simulations.generate_frbs` module to generate synthetic FRB populations with realistic properties for different surveys (CHIME, DSA, ASKAP).\n",
"\n",
"The generated FRBs have the following properties:\n",
"- **DM**: Extragalactic dispersion measure (pc/cm³)\n",
"- **z**: Redshift\n",
"- **M_r**: Host galaxy absolute r-band magnitude\n",
"- **m_r**: Host galaxy apparent r-band magnitude"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"\n",
"# Set up plotting style\n",
"plt.rcParams['figure.figsize'] = (10, 6)\n",
"plt.rcParams['font.size'] = 12"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/xavier/Projects/FRB/FRB/frb/halos/hmf.py:51: UserWarning: hmf_emulator not imported. Hope you are not intending to use the hmf.py module..\n",
" warnings.warn(\"hmf_emulator not imported. Hope you are not intending to use the hmf.py module..\")\n"
]
}
],
"source": [
"from astropath.simulations import generate_frbs, SURVEY_GRIDS"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Available Surveys\n",
"\n",
"The module supports several FRB surveys, each with its own P(z,DM) grid that captures the selection effects and sensitivity of that instrument."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Available surveys:\n",
" - CHIME\n",
" - DSA\n",
" - ASKAP\n",
" - CRAFT\n",
" - CRAFT_ICS_1300\n",
" - CRAFT_ICS_892\n",
" - CRAFT_ICS_1632\n",
" - Parkes\n",
" - FAST\n"
]
}
],
"source": [
"print(\"Available surveys:\")\n",
"for survey in SURVEY_GRIDS.keys():\n",
" print(f\" - {survey}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Usage: Generate FRBs for a Single Survey\n",
"\n",
"The simplest usage generates FRBs by sampling from the survey-specific P(z,DM) grid."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Generated 1000 CHIME FRBs\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DMeg | \n",
" z | \n",
" M_r | \n",
" m_r | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 445.0 | \n",
" 0.25 | \n",
" -21.681575 | \n",
" 18.889973 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1175.0 | \n",
" 1.38 | \n",
" -20.278551 | \n",
" 24.743318 | \n",
"
\n",
" \n",
" | 2 | \n",
" 710.0 | \n",
" 0.63 | \n",
" -18.475358 | \n",
" 24.456045 | \n",
"
\n",
" \n",
" | 3 | \n",
" 585.0 | \n",
" 0.45 | \n",
" -19.330649 | \n",
" 22.723243 | \n",
"
\n",
" \n",
" | 4 | \n",
" 215.0 | \n",
" 0.11 | \n",
" -18.918085 | \n",
" 19.690382 | \n",
"
\n",
" \n",
" | 5 | \n",
" 215.0 | \n",
" 0.11 | \n",
" -19.709010 | \n",
" 18.899457 | \n",
"
\n",
" \n",
" | 6 | \n",
" 225.0 | \n",
" 0.05 | \n",
" -19.538448 | \n",
" 17.269064 | \n",
"
\n",
" \n",
" | 7 | \n",
" 850.0 | \n",
" 0.94 | \n",
" -18.647786 | \n",
" 25.346529 | \n",
"
\n",
" \n",
" | 8 | \n",
" 1225.0 | \n",
" 0.45 | \n",
" -21.433325 | \n",
" 20.620566 | \n",
"
\n",
" \n",
" | 9 | \n",
" 930.0 | \n",
" 0.59 | \n",
" -20.513442 | \n",
" 22.245471 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DMeg z M_r m_r\n",
"0 445.0 0.25 -21.681575 18.889973\n",
"1 1175.0 1.38 -20.278551 24.743318\n",
"2 710.0 0.63 -18.475358 24.456045\n",
"3 585.0 0.45 -19.330649 22.723243\n",
"4 215.0 0.11 -18.918085 19.690382\n",
"5 215.0 0.11 -19.709010 18.899457\n",
"6 225.0 0.05 -19.538448 17.269064\n",
"7 850.0 0.94 -18.647786 25.346529\n",
"8 1225.0 0.45 -21.433325 20.620566\n",
"9 930.0 0.59 -20.513442 22.245471"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Generate 1000 CHIME FRBs with a fixed seed for reproducibility\n",
"df_chime = generate_frbs(1000, 'CHIME', seed=42)\n",
"\n",
"print(f\"Generated {len(df_chime)} CHIME FRBs\")\n",
"df_chime.head(10)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" DMeg | \n",
" z | \n",
" M_r | \n",
" m_r | \n",
"
\n",
" \n",
" \n",
" \n",
" | count | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
"
\n",
" \n",
" | mean | \n",
" 599.490000 | \n",
" 0.472650 | \n",
" -20.223130 | \n",
" 20.900058 | \n",
"
\n",
" \n",
" | std | \n",
" 476.539431 | \n",
" 0.435738 | \n",
" 1.556904 | \n",
" 3.054551 | \n",
"
\n",
" \n",
" | min | \n",
" 30.000000 | \n",
" 0.010000 | \n",
" -23.336626 | \n",
" 10.759040 | \n",
"
\n",
" \n",
" | 25% | \n",
" 280.000000 | \n",
" 0.160000 | \n",
" -21.465300 | \n",
" 18.925289 | \n",
"
\n",
" \n",
" | 50% | \n",
" 470.000000 | \n",
" 0.350000 | \n",
" -20.384238 | \n",
" 21.014704 | \n",
"
\n",
" \n",
" | 75% | \n",
" 770.000000 | \n",
" 0.650000 | \n",
" -19.179283 | \n",
" 23.037714 | \n",
"
\n",
" \n",
" | max | \n",
" 4455.000000 | \n",
" 3.760000 | \n",
" -15.189843 | \n",
" 30.037022 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" DMeg z M_r m_r\n",
"count 1000.000000 1000.000000 1000.000000 1000.000000\n",
"mean 599.490000 0.472650 -20.223130 20.900058\n",
"std 476.539431 0.435738 1.556904 3.054551\n",
"min 30.000000 0.010000 -23.336626 10.759040\n",
"25% 280.000000 0.160000 -21.465300 18.925289\n",
"50% 470.000000 0.350000 -20.384238 21.014704\n",
"75% 770.000000 0.650000 -19.179283 23.037714\n",
"max 4455.000000 3.760000 -15.189843 30.037022"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Summary statistics\n",
"df_chime.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Comparing Different Surveys\n",
"\n",
"Different surveys have different selection functions, leading to different redshift and DM distributions. Let's compare CHIME, DSA, and ASKAP."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/DSA_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CRAFT_class_I_and_II_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n"
]
}
],
"source": [
"# Generate FRBs for three major surveys\n",
"n_frbs = 5000\n",
"seed = 42\n",
"\n",
"df_chime = generate_frbs(n_frbs, 'CHIME', seed=seed)\n",
"df_dsa = generate_frbs(n_frbs, 'DSA', seed=seed)\n",
"df_askap = generate_frbs(n_frbs, 'ASKAP', seed=seed)\n",
"\n",
"surveys = {\n",
" 'CHIME': df_chime,\n",
" 'DSA': df_dsa,\n",
" 'ASKAP': df_askap\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Survey Comparison Summary\n",
"============================================================\n",
"\n",
"CHIME:\n",
" DM: median = 485, range = [10, 5850] pc/cm³\n",
" z: median = 0.350, range = [0.010, 3.760]\n",
" m_r: median = 21.0, range = [10.2, 29.8]\n",
"\n",
"DSA:\n",
" DM: median = 520, range = [10, 6040] pc/cm³\n",
" z: median = 0.400, range = [0.010, 4.400]\n",
" m_r: median = 21.3, range = [10.2, 30.3]\n",
"\n",
"ASKAP:\n",
" DM: median = 265, range = [10, 6055] pc/cm³\n",
" z: median = 0.130, range = [0.010, 1.060]\n",
" m_r: median = 18.5, range = [10.1, 26.8]\n"
]
}
],
"source": [
"# Compare summary statistics\n",
"print(\"Survey Comparison Summary\")\n",
"print(\"=\" * 60)\n",
"for name, df in surveys.items():\n",
" print(f\"\\n{name}:\")\n",
" print(f\" DM: median = {df['DMeg'].median():.0f}, range = [{df['DMeg'].min():.0f}, {df['DMeg'].max():.0f}] pc/cm³\")\n",
" print(f\" z: median = {df['z'].median():.3f}, range = [{df['z'].min():.3f}, {df['z'].max():.3f}]\")\n",
" print(f\" m_r: median = {df['m_r'].median():.1f}, range = [{df['m_r'].min():.1f}, {df['m_r'].max():.1f}]\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Redshift Distributions"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
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LF/M19qmnnlLbtm0VGBgoHx8fNW/eXHPmzNHly/Y3wQoLC5PJZMr28fPPPxfHaQE5I5cCKKSi5Myr/fPPP/Ly8pLJZNK+ffuybI+JidGECRNUtWpV+fr6qmfPnjpw4IAjTgGlCfkKQClWlJz5ySefaOTIkbr++utlMpnUo0ePbPv98ccfuvfee9WwYUP5+PioSpUq6tatm7744gsHnknxYI3c8uLoUWdHAEDSAw88oOHDh8tisTg7lCI5c+aMunXrpoCAAC1YsECXL1/Wq6++qt9//1179+6Vp6dnruN/+eUXde3aVWPHjpWXl5cOHjyol156Sd9//71+/PFHubnZf844adIkdejQwa6tcePGDj8vIFfkUqBEkTOzeuqpp+Tu7i6rNet9OTIyMjRgwAD99ttveuaZZ1SlShW9++676tGjh/bv36/rr7/ekacFV0a+AsodcuYVS5Ys0f79+9WhQwdFRuZ8c+WTJ08qPj5eo0ePVq1atZSYmKj169dr0KBBeu+99zRhwgRHn5rDUMgFgBJkNptlNpudHUaRLViwQAkJCdq/f7/q1q0rSerYsaN69+6tkJCQPBPfzp07s7Q1atRIU6dO1d69e3XzzTfbbevatauCgoIcdwIAAJdHzrT3zTff6JtvvtG0adM0b968LNtDQ0O1a9curVu3zpYzhw4dqiZNmig4OFgfffSR404KAOBSyJlXrF69WrVr15abm5tatGiRY7/+/furf//+dm0TJ05Uu3bt9Nprr7l0IZelFQCUWXPmzJHJZNKxY8c0cuRIBQQEqGrVqpo9e7YMw9Dp06d11113yd/fXzVq1NDixYuz7MNqtSo4OFiNGzeWxWJRnTp1NG3atCwzYaxWq5566ilVrVpVfn5+GjRokM6cOZNlf9mtXbRx40YNGDBAtWrVksViUaNGjfTiiy8qPT3dbmyPHj3UokULHT58WD179pSPj49q166tV155xTEvWAGsX79ed955py25StLtt9+uJk2a6NNPPy3UPuvXry/pytdCsxMfH6+0tLRC7RsAkDtyZvFxRM5MTU3V5MmTNXnyZDVq1CjbPqGhoapevbqGDBlia6tataqGDh2qjRs3ZjuLFwBQcOTM4lPUnFmnTp0s3+7ML7PZrDp16uR4PeoqmJELoMwbNmyYmjdvrpdeekmbN2/WvHnzFBgYqPfee0+9evXSyy+/rDVr1mjq1Knq0KGDunXrJunKVxQHDRqknTt3asKECWrevLl+//13/ec//9GxY8f0+eef244xbtw4ffjhh7rvvvvUpUsXbd26VQMGDMhXfCEhIapQoYKmTJmiChUqaOvWrXr++ecVFxenRYsW2fWNjo5Wv379NGTIEA0dOlShoaGaPn26WrZsqTvuuCPX48TGxio1NTXPeLy8vFQhlzXVzp49q4iICLVv3z7Lto4dO2rLli15HkOS0tLSFBMTo5SUFB06dEizZs2Sn5+fOnbsmKXv2LFjdfnyZZnNZnXt2lWLFi3K9vgAgKIhZ17hajnz9ddfV3R0tGbNmqUNGzZk2+fgwYNq27ZtlgvYjh07aunSpTp27JhatmyZr+MBAPJGzrzC1XJmQSQkJCgpKUmxsbHatGmTvvrqKw0bNszhx3EoA4UWGxtrSDJiY2ON8JhEY3rob8aDK/bm+pge+psRHpNY8sFOnWoYDz105SdwlaSkJOPw4cNGUlJS9h0WLzaM2rXzfgwcmHXswIH5G7t4sf24uLjct+dTcHCwIcmYMGGCrS0tLc247rrrDJPJZLz00ku29ujoaMPb29sYPXq0rW316tWGm5ubsWPHDrv9/ve//zUkGT/99JNhGIbx66+/GpKMxx57zK7ffffdZ0gygoODbW0rVqwwJBnHjx+3tSUmZv2d8PDDDxs+Pj5GcnKyra179+6GJGPVqlW2NqvVatSoUcO455578nw9Msfn9bj6NcjOL7/8kiWOTM8884whyS7unOzevdvuuE2bNjW2bdtm1+enn34y7rnnHmP58uXGxo0bjYULFxqVK1c2vLy8jAMHDuR5jLze31f/Hkfxsr3Wp48axsYnDGPN0Pw/Nj5hGLFnnX0K5FKQM/8/cmbJ5szw8HDDz8/PeO+99wzD+N/r8ssvv9j18/X1NR588MEs4zdv3mxIMr7++uscj5Hne9sgZ5akzNf6r3N/GcE/BRvBPwUb5y+fz/8OyFdwsrKcLw2DnHktV8qZV7vxxhuN7t2759rn4YcftsXn5uZmBAUFGVFRUbmOcfY1JjNyy4uPP5bOnpVq15au+eQFyFVc3JX3Tl7q1MnadvFi/sbGxdk/Nwz7cdduL6Bx48bZ/ttsNqt9+/Y6c+aMHnroIVt7xYoV1bRpU/3777+2tnXr1ql58+Zq1qyZLl26ZGvv1auXJGnbtm3q0qWL7ZPBSZMm2R33ySefzNd6dN7e3rb/jo+Pl9VqVdeuXfXee+/p6NGjat26tW17hQoVNHLkSNtzT09PdezY0S7unCxevFjR0dF59qtVq1au25OSkiQp24X0vby8bH3yWmj/hhtu0HfffaeEhATt2rVL33//vS5fvmzXp0uXLurSpYvt+aBBgxQUFKRWrVppxowZ+vrrr/M8H8BhyKXICzmTnHkNR+TM6dOnq2HDhnb/NjkdK6/joJwgX8HVlYF8KZEzM7lSziyoJ598UkFBQTp37pw+/fRTpaenKyUlxWH7Lw4UcgHkzt//yh+BealaNfu2/Iz197d/bjLZj7t2ewFdvb6OJAUEBMjLy0tVqlTJ0n71nS3/+usvHTlyRFWzOzdJERERkq7c8dLNzS3LmnVNmzbNV3x//PGHZs2apa1btyrumj8oYmNj7Z5fd911MplMdm2VKlXS//3f/+V5nHbt2uUrnrxk/kGQ3Vp7ycnJdn1y4+/vr9tvv12SdNddd+mjjz7SXXfdpQMHDtj9UXGtxo0b66677tKGDRuUnp5eJhb1B1BGkDPJmdcoas78+eeftXr1av3www95rvnn7e1d5NwMACWiDORLiZyZyVVyZmE0a9ZMzZo1kySNGjVKffr00cCBA7Vnz54sr4eroJALIHdTplx5FMamTYUb5+cnZbOAe2FlV+jLqfhnGIbtvzMyMtSyZUu99tpr2fatk90nxAUUExOj7t27y9/fXy+88IIaNWokLy8vHThwQNOnT1dGRkaB485JVFRUvj5d9Pb2VkBAQI7ba9asKUkKDw/Psi08PFyBgYGF+pR0yJAheuCBB7R27dpcC7nSldc+JSVFCQkJ8nfAH2EA4BDkTHLmNYqaM6dNm6auXbuqQYMGthvYZM7eCg8P16lTp2yFhJo1a+Z4HCnvmVAAUGLKQL6UyJmZXCVnOkJQUJAefvhhHTt2LN8F85JGIRcActCoUSP99ttvuu2223L9NK5evXrKyMjQP//8Y/fL/s8//8zzGGFhYYqMjNSGDRtsi99L0vHjx4sWfDaGDBmi7du359lv9OjRCgkJyXF77dq1VbVqVe3bty/Ltr1796pNmzaFis9qtSojIyPLp8PZ+ffff/NcLB8AUHLImdkras48deqUTp48qQYNGmTZNmjQIAUEBNjurt2mTRvt2LFDGRkZdrN39+zZIx8fHzVp0iTP8wEAFD9yZvaK6zqzIDKXd8jPNamzUMgFgBwMHTpUW7Zs0bJlyzRhwgS7bUlJScrIyJCvr6/uuOMOzZw5U2+++abeeecdW5/XX389z2NkfvJ59SedKSkpevfddx1zEldx1NpFknTPPfdo5cqVOn36tO0T4x9++EHHjh3TU089ZeuXmpqqf/75RwEBAbZPWGNiYuTr6ysPDw+7fb7//vuSZHeX0osXL2b5ytFvv/2mTZs26Y477sjza6Zl2eXLl7Vo0SLt2bNHe/fuVXR0tFasWKExY8bkOTYkJERjx47Ndlt4eLhq1Khh17Zp0ybNmTNHhw8fVrVq1TR27FjNnj1b7u78GQHgCnJmzoqSM5cuXarExES7/W3dulVvvfWWXn31VdvXQaUrs4hCQ0O1YcMGBQUFSboye3fdunUaOHBgsc9iAgDkDzkzZ0XJmQURERGhatWq2bWlpqZq1apV8vb21g033FDgfZYUrsAAIAcPPPCAPv30Uz3yyCPatm2bbrnlFqWnp+vo0aP69NNP9c0336h9+/Zq06aNRowYoXfffVexsbHq0qWLfvjhB/399995HqNLly6qVKmSRo8erUmTJslkMmn16tX5+gpLQTlq7SJJmjlzptatW6eePXtq8uTJtqJiy5Yt7QqEZ8+eVfPmze0+fQ0LC9OkSZMUFBSk66+/XikpKdqxY4c2bNig9u3b2y2yP2zYMHl7e6tLly6qVq2aDh8+rKVLl8rHx0cvvfSSw86nNLp06ZJeeOEF1a1bV61bt1ZYWFiB9/HCCy9kmeVVsWJFu+dfffWVBg8erB49euitt97S77//rnnz5ikiIkJLliwpwhkAKEvImTkrSs7s06dPlv1lzsDt3r273YefQUFBuvnmmzV27FgdPnxYVapU0bvvvqv09HTNnTvXYecDACgacmbOipIzJenHH3/Ujz/+KOnKpKCEhATNmzdPktStWzfb7OSHH35YcXFx6tatm2rXrq3z589rzZo1Onr0qBYvXuzS3/x0uUJueZhh5KLrJQO4hpubmz7//HP95z//0apVq/TZZ5/Jx8dHDRs21OTJk+2+ovjBBx+oatWqWrNmjT7//HP16tVLmzdvznN9o8qVK+vLL7/U008/rVmzZqlSpUoaOXKkbrvtNvXt27e4T7HQ6tSpo+3bt2vKlCl69tln5enpqQEDBmjx4sV5zvhp2bKlevbsqY0bNyo8PFyGYahRo0Z6/vnn9cwzz8jT09PWd/DgwVqzZo1ee+01xcXFqWrVqhoyZIiCg4PVuHHj4j5Nl5a5FmKNGjW0b98+dejQocD7uOOOO+yKANmZOnWqWrVqpW+//daWH/39/bVgwQJNnjzZbjYYgPKLnJmzouTMgjCbzdqyZYueeeYZvfnmm0pKSlKHDh0UEhLisuv8AUB5RM7MWVFz5tatW7N8eDl79mxJUnBwsK2QO2zYMC1fvlxLlixRZGSk/Pz81K5dO7388ssaNGiQ40/MgUxGcZTji+DEiRNq0KCB6tatq4YNGyosLKzAhdzsZhgFBQXJy8vL9vyrr77SgAED1KNHD40YMUK///673nnnHU2YMCHfM4zi4uIUEBCg2NhYJRoeev37v3QxPuvd9a5Wv7KPHu3RWGnXLCydGx+Lu/y9PPLumJvrrpPOnr1yl0YHL/CN0i05OVnHjx9XgwYN7P4fAcqCvN7fV/8eL803Tcss5BY0X/7yyy9q2rSpfHx8sr3BweHDh3XjjTfqnXfe0WOPPWZrP3funGrXrq0XX3xRs2bNyleMttf69FH5H3hHunwh3+enCtWlHs9K/k6+UQ+5tNwjZ6Ksys97u6zkzNIg87X+69xf+vD4h5KkR1s/quq+1fO3A/IVnIx8ibLM2deYLjcjt6zPMLJ4mJWUmq6P955SVELed/UL9PXUqM71il7IBQDgGj179tTly5fl6empvn37avHixbr++utt2w8ePChJWXJqrVq1dN1119m2Z8dqtcpq/d+Hm3FxcQ6OHgAAAADKF5cr5FoslixLIBRGfHx8rjOMDh8+rHfeecduGYXHHntM8+fPV2hoaL5nGBVWVEJKnrN3HWrAACkqSgoMLLljAgBcko+Pj8aMGaOePXvK399f+/fv12uvvaYuXbrowIEDtq9qhYeHS1K2NxCoWbOmzp07l+MxFi5cWPbWZCSXAgBKA/IVAJRZLlfIdYTimmHkrNlFDllT9733HLATAEBZMHToUA0dOtT2fPDgwerbt6+6deum+fPn67///a+kK3fNlZTtelReXl655sEZM2ZoypQptudxcXF5ruXl8silAIDSgHwFAGVWmSrkFvcMI2fMLvL1NMtsctP52KR89XfIeroAgHLn1ltvVadOnfT999/b2ry9vSXJ7kPMTMnJybbt2bFYLA69iQ8AAAAAlHdlqpBb3DOMnDG7qCBr6rKeLgCgKOrUqaM///zT9jzzA8/w8PAs+S48PFwdO3Ys0fgAAAAAoDwrU4Xc7DhyhpEzZxeV+Jq6AIBy599//1XVqlVtz9u0aSNJ2rdvn13R9ty5czpz5owmTJhQ0iECAAAAQLnl5uwASkKdOnUUFRVle371DKNrhYeHq1atWiUWW4lp31667rorP4FsGIbh7BAAh+N9fSWvHT16VKmpqba2ixcvZum3ZcsW7d+/X/369bO13XjjjWrWrJmWLl2q9PR0W/uSJUtkMpkUFBRUvMG7GnIp/j9+t6Cs4T3tGGFhYTKZTNk+fv7555ILhHwFF8HvFpRFzn5fl/kZuRIzjCRJ589LZ886Owq4IA+PK0txJCYm5rreJVAaJSQkyGQy2d7nZc3bb7+tmJgY29ruX3zxhc6cOSNJeuKJJxQQEKAZM2Zo5cqVOn78uOrXry9J6tKli2666Sa1b99eAQEBOnDggD744APVqVNHM2fOtDvGokWLNGjQIPXp00fDhw/XoUOH9Pbbb2vcuHFq3rx5iZ6v05FLyz1yJsqqxMRESSqz+bKkTZo0SR06dLBra9y4cckFQL6Ck3l4eMhkMikhIYF8iTLH2Tmz1BZyw8PDFRsbq0aNGtlevIsXL9oVbKX/zTCaNGmSre3qGUYPP/ywzGazpHI8wwjlmtlsVsWKFRURESHpyk0DTSaTk6MCCs8wDKWlpSkuLk5xcXGqWLGi7fd8WfPqq6/q5MmTtucbNmzQhg0bJEkjR45UQEBAtuOGDRumzZs369tvv1ViYqJq1qyp8ePHKzg4WNWrV7fre+edd2rDhg2aO3eunnjiCVWtWlUzZ87U888/X3wnBrgocibKGsMwlJiYqIiIiDKdL0ta165duaZEuWY2mxUQEKCLFy/KarXK399f7u7u5EyUaq6SM12ykMsMI6Bk1ahRQ5JsF6ZAWWA2m1WzZs0ci5llwYkTJ/LsExISopCQELu2efPmad68efk+zuDBgzV48OCCBQeUUeRMlEUVK1a0vbfhGPHx8fL29pa7u0tecgPFrkaNGvL29lZERESON5QHSiNn50yXzCrMMAJKlslkUs2aNVWtWjW7dTSB0srd3V1ms5lP/QE4HDkTZY2HhwczcR1s7Nixunz5ssxms7p27apFixapfS7r1VqtVrsbcVP0QllgMplUsWJFBQQEKD09XWlpac4OCSgyV8iZLlnIZYYR4Bxms9npv5QAACgNyJkAruXp6al77rlH/fv3V5UqVXT48GG9+uqr6tq1q3bt2qWbbrop23ELFy7U3LlzSzhaoGSYTCa5u7szOx1wEP5PAgAAAACgiLp06aIuXbrYng8aNEhBQUFq1aqVZsyYoa+//jrbcTNmzNCUKVNsz+Pi4lSnTp1ijxcAUPpQyAUAAAAAoBg0btxYd911lzZs2KD09PRsZ/JbLBZZLBYnRAcAKG3cnB0AAAAAAABlVZ06dZSSkqKEhARnhwIAKOUo5AIAAAAAUEz+/fdfeXl5qUKFCs4OBQBQyrG0QnnxyitSYqLk4+PsSAAAKJ3IpQCAXFy8eFFVq1a1a/vtt9+0adMm3XHHHXJzK6F5VOQrACizKOSWF/fd5+wIAAAo3cilAIBcDBs2TN7e3urSpYuqVaumw4cPa+nSpfLx8dFLL71UcoGQrwCgzKKQCwAAAABAEQ0ePFhr1qzRa6+9pri4OFWtWlVDhgxRcHCwGjdu7OzwAABlAIVcAAAAAACKaNKkSZo0aVKx7NskU7HsFwBQulDILS/+/FNKS5Pc3aWmTZ0dDQAApQ+5FADgBD7uPjK7mXUh4cKV5x4+8vP0y3kA+QoAyiwKueXFbbdJZ89KtWtLZ844OxoAAEofcikAwAksZouS05IVeixUkjS82fDcC7nkKwAosyjkAgAAAADg4qKt0c4OAQDgZG7ODgAAAAAAAAAAkDsKuQAAAAAAAADg4ijkAgAAAAAAAICLo5ALAABcn4k/WQAAAACUb9zsDAAAuDbPCpLJLMWdK+A4X8kroHhiAgAAAIASRiEXAAC4NncvKTVR2h8iJUbmb4xPZanjeAq5AAAAAMoMCrkAAKB0SIyULl9wdhQAAAAA4BQsOAcAAAAAAAAALo4ZueXFL79I6emS2ezsSAAAKJ3IpQCA0oB8BQBlFoXc8qJmTWdHAABA6UYuBQCUBuQrACizWFoBAIBS6PLlywoODla/fv0UGBgok8mkkJCQfI394Ycf9OCDD6pJkyby8fFRw4YNNW7cOIWHh2fp26NHD5lMpiyPfv36OfiMAAAAAAC5YUYuAACl0KVLl/TCCy+obt26at26tcLCwvI9dvr06YqKitK9996r66+/Xv/++6/efvttffnll/r1119Vo0YNu/7XXXedFi5caNdWq1YtR5wGAAAAACCfXKqQe/nyZS1atEh79uzR3r17FR0drRUrVmjMmDF5jv3hhx+0Zs0a7dy5U2fOnFGNGjXUq1cvvfjii6p5zVdLevTooe3bt2fZR9++ffX111876nRcy9Kl0uXLUoUK0oQJzo4GAFBENWvWVHh4uGrUqKF9+/apQ4cO+R772muv6dZbb5Wb2/++mNOvXz91795db7/9tubNm2fXPyAgQCNHjnRY7KUWuRQAUBqQrwCgzHKpQi6zi4rRCy9IZ89KtWuTzAGgDLBYLFlyW35169Yt27bAwEAdOXIk2zFpaWlKTk5WhQoVCnXMMoFcCgAoDchXAFBmuVQhl9lFAAA4x+XLl3X58mVVqVIly7Zjx47J19dXKSkpql69usaPH6/nn39eHh4eOe7ParXKarXansfFxRVL3AAAAABQXrhUIZfZRQAAOMfrr7+ulJQUDRs2zK69UaNG6tmzp1q2bKmEhASFhoZq3rx5OnbsmD755JMc97dw4ULNnTu3uMMGAAAAgHLDpQq5jsbsIgAA8vbjjz9q7ty5Gjp0qHr16mW3bfny5XbPH3jgAU2YMEHLli3TU089pZtvvjnbfc6YMUNTpkyxPY+Li1OdOnUcHzwAAAAAlBNueXcpvXKbXfTcc8/p448/1qpVq9SpUyfNmzcvz6UWFi5cqICAANuDC1IAQGl39OhR3X333WrRooXef//9fI15+umnJUnff/99jn0sFov8/f3tHgAAAACAwiuzM3KZXQQAQO5Onz6tPn36KCAgQFu2bJGfn1++xmXmvqioqOIMDwAAAABwlTI5I5fZRQAA5C4yMlJ9+vSR1WrVN998o5o1a+Z77L///itJqlq1anGFBwAAAAC4Rpkr5DK7CACA/wkPD9fRo0eVmppqa0tISFD//v119uxZbdmyRddff322Y+Pi4uzWhpckwzA0b948SVLfvn2LL3AAAAAAgJ0ytbTC1bOLfvjhB2YXAQDKtLffflsxMTE6d+6cJOmLL77QmTNnJElPPPGEAgICNGPGDK1cuVLHjx9X/fr1JUn333+/9u7dqwcffFBHjhzRkSNHbPusUKGCBg8eLEk6cOCARowYoREjRqhx48ZKSkrSZ599pp9++kkTJkxQ27ZtS/R8AQAAAKA8K5WF3PDwcMXGxqpRo0by8PCQZD+7aNu2bbnOLrJYLLJYLLa2cjG7qEkTKSBAql7d2ZEAABzk1Vdf1cmTJ23PN2zYoA0bNkiSRo4cqYCAgGzH/frrr5KkDz74QB988IHdtnr16tkKufXq1VPXrl312Wef6fz583Jzc1Pz5s313//+VxMmTHD8Cbk6cikAoDQgXwFAmeVyhVxmFxWTrVudHQEAwMFOnDiRZ5+QkBCFhIQUeJwkNWjQQJ9++mnBAyuryKUAgNKAfAUAZZbLFXKZXQQAAAAAAAAA9lyukMvsIgAAAABAaTd//nzNmjVLN954ow4dOuTscAAAZYCbswMAAAAAAKAsOXPmjBYsWCBfX19nhwIAKENcbkYuisn990uXLklVqkhr1jg7GgAASh9yKQAgn6ZOnaqbb75Z6enpunTpUskenHwFAGUWhdzyYvt26exZqXZtZ0cCAEDpRC4FAOTDjz/+qNDQUB08eFBPPPFEyQdAvgKAMotCLgAAAAAADpCenq4nnnhC48aNU8uWLfM1xmq1ymq12p7HxcUV6JjxKfFKTE2UJPl4+MivQKMBAKUJhVwAAAAAABzgv//9r06ePKnvv/8+32MWLlyouXPnFvqYiamJWnt0rSRpeLPhFHIBoAzjZmcAAKBsMvFnDgCg5ERGRur555/X7NmzVbVq1XyPmzFjhmJjY22P06dPF/jY0dZoRVujCzwOAFC6MCMXAACUPZ4VJJNZijtXiLG+kleA42MCAJRps2bNUmBgYIHXxbVYLLJYLMUUFQCgLKGQCwAAyh53Lyk1UdofIiVG5n+cT2Wp43gKuQCAAvnrr7+0dOlSvf766zp37n8fIiYnJys1NVUnTpyQv7+/AgMDnRglAKC0o5ALAADKrsRI6fIFZ0cBACjjzp49q4yMDE2aNEmTJk3Ksr1BgwaaPHmyXn/99ZIPDgBQZlDIBQAAAACgCFq0aKHPPvssS/usWbMUHx+vN954Q40aNXJCZACAsoRCLgAAAAAARVClShUNHjw4S3vmDNzstgEAUFAUcsuL8eOl2FgpgDX/AAAoFHIpAKA0IF8BQJlFIbe8CA52dgQAAJRu5FIAQAGFhYWV/EHJVwBQZrk5OwAAAAAAAAAAQO4o5AIAAAAAAACAi6OQCwAAAAAAAAAujkJueXHddZLJdOUnAAAoOHIpAKA0IF8BQJlFIRcAAAAAAAAAXByFXAAAAAAAAABwcUUq5N5xxx366KOPlJSU5Kh4AAAoc8iXAAC4FnIzAKA0KlIh999//9XIkSNVvXp1jR49Wt9//70Mw3BUbAAAlAnkSwAAXAu5GQBQGhWpkPvnn39qz549Gjt2rL799lv17dtX1113nZ555hn9+uuvDgoRAIDSrTjy5eXLlxUcHKx+/fopMDBQJpNJISEh+R4fExOjCRMmqGrVqvL19VXPnj114MCBbPtu2rRJbdu2lZeXl+rWravg4GClpaUVKm4AAFwB17IAgNKoyGvkdujQQW+88YbOnj2rLVu2qFevXnrvvffUrl07tWjRQq+88orOnDmT7/1xYQoAKIscnS8vXbqkF154QUeOHFHr1q0LFEtGRoYGDBigjz76SBMnTtQrr7yiiIgI9ejRQ3/99Zdd36+++kqDBw9WxYoV9dZbb2nw4MGaN2+ennjiiQIdEwAAV+Po3AwAQHFz2M3O3Nzc1LdvX61evVqnTp1SUFCQDh8+rGeffVb169fX7bffrs2bN+e5Hy5MAQBlmaPyZc2aNRUeHq6TJ09q0aJFBYohNDRUu3btUkhIiIKDg/X4448rLCxMZrNZwcHBdn2nTp2qVq1a6dtvv9X48eP15ptvasaMGXrvvfd09OjRAh0XAABX5KjcDABAcXNYIVeSdu7cqUceeUSNGzfWunXrbJ9iLl68WBcvXtSgQYP0/PPP57oPLkwBAGWdI/KlxWJRjRo1CnX80NBQVa9eXUOGDLG1Va1aVUOHDtXGjRtltVolSYcPH9bhw4c1YcIEubu72/o+9thjMgxDoaGhhTo+AACuxhG5GQCA4lbkQu7hw4c1c+ZMNWjQQN27d9fGjRs1evRoHThwQP/3f/+nqVOnavLkyfrtt9/00EMP6Z133sl1f1yYFo3J5OwIAADZcXS+LIqDBw+qbdu2cnOz/zOgY8eOSkxM1LFjx2z9JKl9+/Z2/WrVqqXrrrvOtj07VqtVcXFxdg8AAFyJK+VmAADywz3vLjlr06aNfv/9d1ksFt11111699131bdv3ywXhpl69uyp999/vyiHzFVuF6ZLly7VsWPH1LJly0JfmFqtVlsxWJLLXZT6epplNrnpfGxSlm2e/10upVglT4tSrtruY3GXv5dHSYYJAOWOq+XL8PBwdevWLUt7zZo1JUnnzp1Ty5YtFR4ebtd+bd9z587leIyFCxdq7ty5DorYRXz4oWS1ShaLsyMBABSRq+VmhyJfAUCZVaRCbsWKFbV06VLde++98vf3z7P/XXfdpePHjxflkLkq7gtTV78otXiYlZSaro/3nlJUQso1W///uVolfX9lveBAX0+N6lyPQi4AFDNXy5dJSUmyZHNx5+XlZdt+9c+c+ub2geaMGTM0ZcoU2/O4uDjVqVOnSHE7XY8ezo4AAOAgrpabHYp8BQBlVpEKuatWrVLVqlXl7e2d7fakpCRdvHhRdevWlST5+PioXr16RTlkror7wrS0XJRGJaToYrw1744AgBLhavnS29vb7hsmmZKTk23br/6ZU9+czke6kmOzy7MAALgCV8vNAADkR5HWyG3QoIE+++yzHLdv2rRJDRo0KMohCqS4L0wtFov8/f3tHgAA5MXV8mXmjUWvldlWq1YtW7+r26/tm9kPAIDSxtVyMwAA+VGkQq5hGLluT01NzXGNoeLAhWnOmh7drxt/362mR/c7OxQAKHdcLV+2adNGBw4cUEZGhl37nj175OPjoyZNmtj6SdK+ffvs+p07d05nzpyxbS83wsKkb7658hMAUKq5Wm52KPIVAJRZBV5aIS4uTjExMbbnkZGROnXqVJZ+MTExWrt2bbbr0BaXNm3aaMeOHcrIyLBLurldmHbs2NHWL/PCdMKECSUWc0kZtzRYgdERiqpUTc+89qWzwwGAMs9V8mV4eLhiY2PVqFEjeXhcWRM9KChIoaGh2rBhg4KCgiRJly5d0rp16zRw4EDbkgg33nijmjVrpqVLl+rhhx+W2WyWJC1ZskQmk8k2ttwYOVI6e1aqXVs6c8bZ0QAACshVcnOxI18BQJlV4ELuf/7zH73wwguSJJPJpCeffFJPPvlktn0Nw9C8efOKFGBOuDAFALiyksiXb7/9tmJiYmw36fziiy905v9fsD3xxBMKCAjQjBkztHLlSh0/flz169eXdCVf3nzzzRo7dqwOHz6sKlWq6N1331V6enqWm3ouWrRIgwYNUp8+fTR8+HAdOnRIb7/9tsaNG6fmzZsXOGYAAJzFVa5lAQAorAIXcvv06aMKFSrIMAxNmzZNI0aMUNu2be36mEwm+fr6ql27dmrfvn2Bg+LCFABQ2pVEvnz11Vd18uRJ2/MNGzZow4YNkqSRI0cqICAg23Fms1lbtmzRM888ozfffFNJSUnq0KGDQkJC1LRpU7u+d955pzZs2KC5c+fqiSeeUNWqVTVz5kw9//zzBY4XAABnKoncDABAcSpwIbdz587q3LmzJCkhIUFDhgxRy5YtHRoUF6YAgNKuJPLliRMn8uwTEhKikJCQLO2VKlXS+++/r/fffz/PfQwePFiDBw8ueIAAALiQksjNAAAUpwIXcq8WHBzsqDjscGEKAChLiitfAgCAwiE3AwBKowIVcl944QWZTCY999xzcnNzs60vlBuTyaTZs2cXOkAAAEob8iUAAK6F3AwAKAsKVMidM2eOTCaTpk+fLk9PT82ZMyfPMSQ/AEB5Q74EAMC1kJsBAGVBgQq5GRkZuT5H6WMyOTsCACh7yJcAALiW8pKbTeICDwDKsiKtkYvSzdfTLLPJTedjk/LV38fiLn8vj2KOCgAAAABQUD7uPjK7mZVuZMgsKUOG3JwdFADAoRxeyE1MTNTatWtltVrVv39/1atXz9GHgINYPMxKSk3Xx3tPKSohJde+gb6eGtW5HoVcAHAQ8iUAAK6ltOdmi9mi5LRkJaYlyk+SYRjODgkA4GBFKuQ+9NBD2rNnjw4dOiRJSklJ0c0332x7HhAQoK1bt+qmm24qeqQokmde+zLHbVEJKboYby3BaACgfCFflhFnzjg7AgCAgxRHbv7jjz80Z84c7d+/X+fPn5ePj49uuOEGPfPMMxo4cGCxnEd2Fn/2pCTp0daPqnqJHRUAUBKK9E2Lbdu2aciQIbbnH330kQ4dOqQ1a9bo0KFDqlGjhubOnVvkIAEAKM3IlwAAuJbiyM0nT55UfHy8Ro8erTfeeMN2o7RBgwZp6dKlDo0fAFA+FWlG7vnz51W/fn3b888//1zt27fXiBEjJEnjx4/XokWLihQgXAc3RgOAwiFfAgDgWoojN/fv31/9+/e3a5s4caLatWun1157TRMmTChy3ACA8q1IhVxfX1/FxMRIktLS0hQWFqYnnnjCtt3Pz0+xsbFFChCuoaA3RpO4ORoAZCJfAgDgWkoqN5vNZtWpU0e//PJLkfcFAECRCrlt27bVsmXL1LNnT23atEnx8fF2a//8888/ql6dVXlcwaDPl8k76bKSvCto0+DxBR5fkBujSdwcDQCuRr4sI+bOlWJjpYAAKTjY2dEAAIqgOHNzQkKCkpKSFBsbq02bNumrr77SsGHDcuxvtVpltf7vniVxcXGFOm6m7h+EyeuyVb6NEqT5fOMHAMqSIhVy58+fr759+6p9+/YyDENBQUHq2LGjbftnn32mW265pchBoui6/rhRgdERiqpUrVCF3EzcGA0ACo58WUYsWyadPSvVrk0hFwBKueLMzU8//bTee+89SZKbm5uGDBmit99+O8f+CxcudOha+e02HZD/xXil1zpJIRcAypgiFXLbt2+vo0ePateuXapYsaK6d+9u2xYTE6PHHnvMrg0AgPKIfFnKmIp0L1gAQClQnLn5ySefVFBQkM6dO6dPP/1U6enpSknJ+VuNM2bM0JQpU2zP4+LiVKdOnRz7m8TNSwCgvCpSIVeSqlatqrvuuitLe8WKFTV58uSi7h4AgDKBfFlKeFaQTGYp7lzWbUb6/35eu93TV/IKKP74AAAOU1y5uVmzZmrWrJkkadSoUerTp48GDhyoPXv2yJTNHaQtFossFku+9u3j7iOzm1kXEi5IkswmszKMjELHCgAoXYpcyJWk+Ph4nTx5UtHR0TIMI8v2bt26OeIwAACUauTLUsDdS0pNlPaHSImR9tus8f/7GfbS/9p9Kksdx1PIBYBSqCRyc1BQkB5++GEdO3ZMTZs2LdK+LGaLktOSFXosVNHWaNX3q6/e9XsXOUYAQOlQpEJuZGSkJk6cqPXr1ys9PT3LdsMwZDKZst0GAEB5Qb4shRIjpcsX7NsyMv7389ptAIBSpSRzc1JSkiQpNja2yPvKFG2N1qWkS6pkqeSwfQIAXF+RCrnjx4/XF198oUmTJqlr166qVIkkAgDAtciXAAC4luLIzREREapWrZpdW2pqqlatWiVvb2/dcMMNRT4GAKB8K1Ih99tvv9VTTz2lV155xVHxAABQ5pAvAQBwLcWRmx9++GHFxcWpW7duql27ts6fP681a9bo6NGjWrx4sSpUqOCwYxVUfEq8ElMTJUk+Hj7y8/RzWiwAgMIrUiHXx8dH9evXd1AoAACUTeRLAABcS3Hk5mHDhmn58uVasmSJIiMj5efnp3bt2unll1/WoEGDHHqsgkpMTdTao2slScObDaeQCwCllFtRBo8cOVKfffaZo2IBAKBMIl8CAOBaiiM3Dx8+XN99953Onz+v1NRURUVF6bvvvnN6ETdTtDVa0dZoZ4cBACiCIs3IDQoK0vbt29WvXz9NmDBBderUkdlsztKvbdu2RTkMHOBY05tUIT5Gl/0qOjsUACh3yJdlRPOqUrxV8rM4OxIAQBGV5dx8ok19+cQmqnb91vJ2djAAAIcqUiH31ltvtf33d999l2U7d+F2HcseftHZIQBAuUW+LCMev9nZEQAAHKQs5+YNc4ZIkh5t/SiFXAAoY4pUyF2xYoWj4gAAoMwqrnxptVr1/PPPa/Xq1YqOjlarVq00b9489e7dO9dx9evX18mTJ7Pd1rhxY/3111+25yaTKdt+Cxcu1LPPPlv44MsaU5FWqwIAlDCuZQEApVGRCrmjR492VBw2XJQCAMqa4siXkjRmzBiFhobqySef1PXXX6+QkBD1799f27Zts5tpdK3XX39dly9ftms7efKkZs2apT59+mTp37t3b40aNcqu7aabbnLMSZQFnhUkk1mKO1eIsb6SV4DjYwIA5Kq4cjMAAMWpSIXcq4WHhysiIkKNGzeWr69voffDRSkAoCxzVL7cu3ev1q5dq0WLFmnq1KmSpFGjRqlFixaaNm2adu3alePYwYMHZ2mbN2+eJOn+++/Psq1JkyYaOXJkoWMt89y9pNREaX+IlBiZ/3E+laWO4ynkAoCTOSo3AwBQ3IpcyN24caOmT59um/H63XffqVevXrp06ZJ69+6t559/XnfffXe+9sVFafGZ+vKj8o+LUpx/oF6dvsTZ4QBAuePIfClJoaGhMpvNmjBhgq3Ny8tLDz30kGbOnKnTp0+rTp06+d7fRx99pAYNGqhLly7Zbk9KSpLJZJKXl1e+91nmzA+TYpOlAC/puR5ZtydGSpcvlHRUAIBCcnRudhWjn1gp36gEVaz7vbR9p7PDAQA4UJEWdPviiy80ZMgQValSRcHBwTIMw7atSpUqql27tkJCQvK9v9wuSnfv3q3Tp08XKL78XJQmJycXaJ+lVfULp1X73HFVv1Cw1xAAUHSOzpeSdPDgQTVp0kT+/v527R07dpQk/frrrwXa15EjR3Tfffdluz0kJES+vr7y9vbWDTfcoI8++ijPfVqtVsXFxdk9Sr3weOls3JWfAIBSrThys6uofDpS1U5clPnvf50dCgDAwYpUyH3hhRfUrVs37dy5U48//niW7Z07d9bBgwfzvT8uSgEAZZGj86V05WugNWvWzNKe2XbuXP7Xa12zZo2k7L/B0qVLF82fP1+ff/65lixZIrPZrPvvv19LluT+7Y6FCxcqICDA9ijI7GAAAIpbceRmAACKW5EKuYcOHdLQoUNz3F69enVFRETke39clAIAyiJH50vpyrdKLBZLlvbMpQ+SkpLytZ+MjAytXbtWN910k5o3b55l+08//aTJkydr0KBBeuSRR7R//361aNFCM2fOzPUYM2bMUGxsrO1R0G/VAABQnIojNwMAUNyKVMj18fFRQkJCjtv//fdfVa5cOd/746IUAFAWOTpfSpK3t7esVmuW9swlg7y9vfO1n+3bt+vs2bPZfvCZHU9PT02cOFExMTHav39/jv0sFov8/f3tHgAAuIriyM0AABS3IhVye/bsqZUrVyotLS3LtvPnz2vZsmXq06dPvvfHRSkAoCxydL6UrnxbJTw8PEt7ZlutWrXytZ81a9bIzc1NI0aMyPexM7+REhUVle8xAAC4kuLIzQAAFLciFXLnz5+vM2fOqEOHDnrvvfdkMpn0zTffaNasWWrZsqUMw1BwcHC+98dFKQCgLHJ0vpSkNm3a6NixY1nWa9+zZ49te16sVqvWr1+vHj165DvHSldmKUlS1apV8x8wAAAupDhyMwAAxa1IhdymTZtq586dqly5smbPni3DMLRo0SItWLBALVu21I4dO1S/fv1874+LUgBAWeTofClJQUFBSk9P19KlS21tVqtVK1asUKdOnWwfUJ46dUpHjx7Ndh9btmxRTExMjt9guXjxYpa2+Ph4vf7666pSpYratWtXoJgBAHAVxZGbAQAobu5F3cGNN96o77//XtHR0fr777+VkZGhhg0bFqogGhQUpFdffVVLly7V1KlTJeV8UZqYmKhmzZpl2Ud+LkqvjY2LUgBAcXNkvpSkTp066d5779WMGTMUERGhxo0ba+XKlTpx4oSWL19u6zdq1Cht375dhmFk2ceaNWtksVh0zz33ZHuMd955R59//rkGDhyounXrKjw8XB988IFOnTql1atXy9PTs1CxAwDgChydmwEAKG6FLuRarVZ9+OGH+vbbb/XPP/8oPj5efn5+aty4sfr166f77ruvwBd4XJQCAMqa4siXmVatWqXZs2dr9erVio6OVqtWrfTll1+qW7dueY6Ni4vT5s2bNWDAAAUEBGTb55ZbbtGuXbv0/vvvKzIyUr6+vurYsaM++OAD9erVq1AxAwDgbMWZmwEAKE6FKuT+/vvvuuuuu3Ty5EkZhqGAgABVqFBBEREROnDggNatW6f58+dr06ZNat68eYH2zUVp8fhi0EPysiYq2eLj7FAAoNwoznwpSV5eXlq0aJEWLVqUY5+wsLBs2/39/ZWUlJTr/nv37q3evXsXOK4ya8gNUnKa5FXkLzQBAJykuHOzK9g+trs8k1LU+fre4vbcAFC2FPhK5PLlyxo0aJAiIiI0f/58PfDAA6pdu7Zt+9mzZ7Vq1SrNmzdPAwcO1G+//SZfX99875+L0uLxY4+7nR0CAJQrxZ0v4QS9Gjk7AgBAEZSX3Lz/rivLBbZp/QCFXAAoYwp8s7MVK1bo1KlT2rx5s5599lm7xCdJtWvX1owZM/TFF1/o+PHjCgkJcVSsAACUGuRLAABcC7kZAFDaFbiQu3nzZvXp00c9evTItV+vXr3Uu3dvffHFF4WNDQCAUot8CQCAayE3AwBKuwIXcn///fc8E1+mXr166ffffy/oIVAMAmIuqVLUBQXEXHJ2KABQLpAvy6DoJCky8cpPAECpU15yc4VL8fKPiJPb+QvODgUA4GAFXiM3KipKNWrUyFff6tWrKyoqqsBBwfFmvTBGgdERiqpUTc+89qWzwwGAMo98WQbN/v5KEbeSt/T2QMfs01Tgz9QBAIVUXnLzhHHL5H8xXum11kpnzzk7HACAAxW4kGu1WuXh4ZG/nbu7KyUlpcBBAQBQ2pEvkSfPCpLJLMUV8CLb01fyCiiemACgDCM3AwBKuwIXciXpxIkTOnDgQJ79jh8/XpjdAwBQJpAvkSt3Lyk1UdofIiVG5m+MT2Wp43gKuQBQSORmySSTs0MAABRSoQq5s2fP1uzZs/PsZxiGTCaSBACgfCJfIl8SI6XLrGMIACWhvOdmH3cfmd3MupDwv7zj4+EjP08/J0YFAMivAhdyV6xYURxxAABQppAvAQBwLeRmyWK2KDktWaHHQhVtjVYlSyUNbzacQi4AlBIFLuSOHj26OOIAAKBMIV8CAOBayM3/E22N1qWkS84OAwBQQNwqGQAAAAAAAABcHIVcAAAAAAAAAHBxFHIBAAAAACiiX375RRMnTtSNN94oX19f1a1bV0OHDtWxY8ecHRoAoIwo8Bq5AAAAAADA3ssvv6yffvpJ9957r1q1aqXz58/r7bffVtu2bfXzzz+rRYsWzg4RAFDKUcgtJ1595h2ZM9KU7sY/OQAAhTKzu5RhSG4mZ0cCAHBBU6ZM0UcffSRPT09b27Bhw9SyZUu99NJL+vDDD0skjpVvjJJbeoaG3Xi/qpTIEQEAJYWqXjlxoWY9Z4cAAEDpVsvf2REAAFxYly5dsrRdf/31uvHGG3XkyJESiyOy3pXybXqTxiV2TABAyaCQCwAAAABAMTAMQxcuXNCNN96YYx+r1Sqr1Wp7HhcXVxKhAQBKIW52BgAAAABAMVizZo3Onj2rYcOG5dhn4cKFCggIsD3q1KnjkGObxFJAAFDWMCO3nOi0+2t5piQrxdNLezr3c3Y4AACUPj+dlFLSJU+zdAtLFgEAcnf06FE9/vjj6ty5s0aPHp1jvxkzZmjKlCm253FxcUUq5rb89nf5pprkfewzXbh3sMwmszKMjELvDwDgOijklhNB695WYHSEoipVK7FCrokPgAEAZcnH/ydFJ0mVvCnkAgBydf78eQ0YMEABAQEKDQ2V2WzOsa/FYpHFYnHYsXu/+538L8YrvdZP+qBlsgI8A9S7fm+H7R8A4DwUclEsfD3NMpvcdD42KV/9fSzu8vfyKOaoAAAAAKB4xcbG6o477lBMTIx27NihWrVqOS2WaGu0044NAHA8CrkoFhYPs5JS0/Xx3lOKSkjJtW+gr6dGda5HIRcAAABAqZacnKyBAwfq2LFj+v7773XDDTc4OyQAQBlCIRfFKiohRRfjrXl3BAAAAIBSLD09XcOGDdPu3bu1ceNGde7c2dkhAQDKGDdnBwAAAArHarVq+vTpqlWrlry9vdWpUyd99913eY6bM2eOTCZTloeXl1e2/ZcvX67mzZvLy8tL119/vd566y1HnwoAAKXe008/rU2bNumOO+5QVFSUPvzwQ7sHAABF5XKFXC5KAQDInzFjxui1117T/fffrzfeeENms1n9+/fXzp078zV+yZIlWr16te2xYsWKLH3ee+89jRs3TjfeeKPeeustde7cWZMmTdLLL7/s6NMBAKBU+/XXXyVJX3zxhR544IEsDwAAisrlllYYM2aMQkND9eSTT+r6669XSEiI+vfvr23btunWW2/Nc/ySJUtUoUIF2/Ps7g763nvv6ZFHHtE999yjKVOmaMeOHZo0aZISExM1ffp0h54PAADFYe/evVq7dq0WLVqkqVOnSpJGjRqlFi1aaNq0adq1a1ee+wgKClKVKlVy3J6UlKTnnntOAwYMUGhoqCRp/PjxysjI0IsvvqgJEyaoUqVKjjkhAABKubCwMGeHAAAo41yqkMtFKQAA+RMaGiqz2awJEybY2ry8vPTQQw9p5syZOn36tOrUqZPrPgzDUFxcnPz8/GQymbJs37ZtmyIjI/XYY4/ZtT/++ONas2aNNm/erJEjRzrmhAAAAAAAuXKppRVyuyjdvXu3Tp8+nec+Mi9KDcPIdntuF6UJCQnavHlz0U4ChZJN/QAAkIuDBw+qSZMm8vf3t2vv2LGjpP99vTM3DRs2VEBAgPz8/DRy5EhduHAhyzEkqX379nbt7dq1k5ubm217dqxWq+Li4uweAAAAAIDCc6kZufm5KM1rdlHDhg11+fJl+fr6avDgwVq8eLGqV69udwwp94vSnGYXWa1WWa1W2/PSdFEaFxBo99OV+HqaZTa56XxsUr7H+Fjc5e/lUYxRAYBrCw8PV82aNbO0Z7adO3cux7GVKlXSxIkT1blzZ1ksFu3YsUPvvPOO9u7dq3379tnycHh4uMxms6pVq2Y33tPTU5UrV871GAsXLtTcuXMLc2quq6KX/U8AAFzQ5cAKMpncZKleLe/OAIBSxaUKuVyUFp8Xg1c5O4QcWTzMSkpN18d7TykqISXP/oG+nhrVuR6FXADlWlJSkiwWS5b2zJt8JiXl/OHY5MmT7Z7fc8896tixo+6//369++67evbZZ2378PT0zHYfXl5euR5jxowZmjJliu15XFxcnh/Gurx5vZ0dwRUml/pCFQDAxSz9YIIqWSopqEmQ9PsyZ4cDAHAglyrkclFavkUlpOhivDXvjgAAeXt7231LJFNycrJte0Hcd999evrpp/X999/bcqa3t7dSUrL/gC05OTnXY1gslmxzOorIs4JkMktxOX/wnPNYX8krwPExAQAAACgRLlXI5aIUAID8qVmzps6ePZulPTw8XJJUq1atAu+zTp06ioqKsjtGenq6IiIi7L7JkpKSosjIyEIdA0Xk7iWlJkr7Q6TEyPyP86ksdRxPIRcAAAAoxVzqu3k1a9a0XYBerbguSq/GRSkAoDRp06aNjh07lmW99j179ti2F4RhGDpx4oSqVq1qdwxJ2rdvn13fffv2KSMjo8DHgAMlRkqXL+T/UZCiLwAAAACX5FKFXC5Ki88DIQv16DvP6oGQhc4OBQDgAEFBQUpPT9fSpUttbVarVStWrFCnTp1sS/+cOnVKR48etRt78eLFLPtbsmSJLl68qH79+tnaevXqpcDAQC1ZsiRLXx8fHw0YMMCRp+T6lu+T3th15ScAAC7qzle+UP/pK1Rx8nRnhwIAcDCXWlohKChIr776qpYuXaqpU6dKyvmiNDExUc2aNbONvXjxol3BVsr7orR///52fcvyRWmr//tJgdERiqrEnUsBoCzo1KmT7r33Xs2YMUMRERFq3LixVq5cqRMnTmj58uW2fqNGjdL27dtlGIatrV69eho2bJhatmwpLy8v7dy5U2vXrlWbNm308MMP2/p5e3vrxRdf1OOPP657771Xffv21Y4dO/Thhx9q/vz5CgwMLNFzdrqD4VJ0klSpYEs9AQBQkprs+kv+F+OVXuuCNK5xgcbGp8QrMTVRkuTj4SM/T7/iCBEAUEguVcjlohQAgPxbtWqVZs+erdWrVys6OlqtWrXSl19+qW7duuU67v7779euXbu0fv16JScnq169epo2bZqee+45+fj42PV97LHH5OHhocWLF2vTpk2qU6eO/vOf/2S5ySgAACj9ElMTtfboWknS8GbDKeQCgItxqUKuxEUpAAD55eXlpUWLFmnRokU59gkLC8vStmzZsgIdZ/z48Ro/fnxBwwMAAKVQtDXa2SEAAHLgcoVcLkoBAAAAAAAAwJ5L3ewMyC+TydkRAAAAAAAAACXH5WbkAnnx9TTLbHLT+dikfPX3sbjL38ujmKMCAAAAAAAAig+FXJQ6Fg+zklLT9fHeU4pKSMm1b6Cvp0Z1rkchFwAAAAAAAKUahVyUWlEJKboYb3V2GAAAAAAAAECxY41cAAAAAAAAAHBxzMgtJ/Z26iOfhDgl+vo7OxQAAEqnLnWlhBTJ19PZkRSOqRCf3yfHSikJBR/n6St5BRR8HACgyH6/vYUCEg3Vq9fa2aEAAByMQm45sW7YJGeHAABA6XZfKb4g9qwgmcxS3Ln8jzGZpfQUad8HUmJk/sf5VJY6jqeQCwBO8t3EPqpkqaSgJkHS78ucHQ4AwIEo5AIAAJR17l5SaqK0PyT/RdnKjaUb7rrS//KFYg0PAAAAQN4o5AIAAJQXBSnK+lQp3lgAAAAAFAg3OwMAAAAAoJwyyeTsEAAA+cSM3HJi3ox7VTHmkmIqVtGsheucHQ4AAKXP1K+k6CSpkrf06h3OjgYAgGxNHPG2/CIvy63WW1LIyFz7+rj7yOxm1oWECzKbzMowMkooSgBAYTAjt5ywWJPknZwgizXJ2aEAAFA6Jaf97wEAgIvyTEqRJcEqt4SEPPtazBYlpyVr7dG1+vKfLynkAoCLY0YuAAAAAADlWLQ12tkhAADygRm5AAAAAAAAAODiKOQCAAAAAAA73AQNAFwPSysAAAAAAACbq2+CJkm+Hr6q4FnByVEBAJiRCwAAAABAEV2+fFnBwcHq16+fAgMDZTKZFBIS4uywCuXqm6Bt/HujrOlWXUi4YHvEp8Q7O0QAKJeYkQsAAAAAQBFdunRJL7zwgurWravWrVsrLCzM2SEVWeZN0JLTkhV6LFTR1mhVslTSiGYj5Ofp5+ToAKD8oZALAAAAAEAR1axZU+Hh4apRo4b27dunDh06ODskh4q2RutS0qUsyy74ePhQ1AWAEkIhFwAAAACAIrJYLKpRo4azwyh2mcsuhB4LlSQNbzacQi4AlBAKueXE6lHT5ZlqVYqHxdmhlDhTAW+2GpecqkRrWr77+1jc5e/lUcCoAAClzoPtpNR0ycPs7EgAAGWI1WqV1Wq1PY+LiyvS/r585k4FZFh0c4Meko4XaV+5yVx2AQBQcijklhP/16ars0NwCl9Ps8wmN52PTcpXf7ObSSlphtbsOamohJQ8+wf6empU53oUcgGgPGhby9kRAADKoIULF2ru3LkO29+xW5qokqWS2jS5Xfp9mcP2CwBwPjdnB3Atq9Wq6dOnq1atWvL29lanTp303Xff5Tluw4YNGjZsmBo2bCgfHx81bdpUTz/9tGJiYrL0rV+/vkwmU5bHI488UgxnBGeyeJiVlJquVbtP6vXv/8rz8dmBs8owDEUlpOhivDXPR36KvQBQHMiXAACUDTNmzFBsbKztcfr0aWeHBABwUS43I3fMmDEKDQ3Vk08+qeuvv14hISHq37+/tm3bpltvvTXHcRMmTFCtWrU0cuRI1a1bV7///rvefvttbdmyRQcOHJC3t7dd/zZt2ujpp5+2a2vSpEmxnBOcL7Mwm5dAX88SiAYAio58CQBA2WCxWGSxlL8l8AAABedShdy9e/dq7dq1WrRokaZOnSpJGjVqlFq0aKFp06Zp165dOY4NDQ1Vjx497NratWun0aNHa82aNRo3bpzdttq1a2vkyJEOPwdXVe/EEbmnpSrN3UMn6zd3djgAgCIgXzrJ8SgpLUNyd5MaBDo7GgAAslXz6DlVNMXII+H/XOyKHwBQVC61tEJoaKjMZrMmTJhga/Py8tJDDz2k3bt35/oVk2svSiXp7rvvliQdOXIk2zEpKSlKSEgoWtClxMQ3n9HM+eM08c1nnB0KAKCIyJdOsvgnac7WKz8BAHBRI55dq2EPvqHKIx50digAAAdzqULuwYMH1aRJE/n7+9u1d+zYUZL066+/Fmh/58+flyRVqVIly7atW7fKx8dHFSpUUP369fXGG2/kuT+r1aq4uDi7BwAAJc3V86VEziz3TC71JyYAAABQJrjUFy3Cw8NVs2bNLO2ZbefOnSvQ/l5++WWZzWYFBQXZtbdq1Uq33nqrmjZtqsjISIWEhOjJJ5/UuXPn9PLLL+e4P0ffTRQAgMJw9XwpkTPLNc8KksksxRXsfShPX8kroHhiAoAS8vbbbysmJsaWi7/44gudOXNGkvTEE08oIIDfcwCAwnOpQm5SUlK2i7x7eXnZtufXRx99pOXLl2vatGm6/vrr7bZt2rTJ7vnYsWN1xx136LXXXtMTTzyh6667Ltt9zpgxQ1OmTLE9j4uLU506dfIdEwAAjuDq+VIiZ5Zr7l5SaqK0P0RKjMzfGJ/KUqeHKeQCKPVeffVVnTx50vZ8w4YN2rBhgyRp5MiRFHIBAEXiUoVcb29vWa3WLO3Jycm27fmxY8cOPfTQQ+rbt6/mz5+fZ3+TyaSnnnpK33zzjcLCwnK8qQt3EwUAuAJXz5cSORO6UsS9fCF/fQs7i1diJi8Al3LixAlnhwAAKMNcqpBbs2ZNnT17Nkt7eHi4JKlWrVp57uO3337ToEGD1KJFC4WGhsrdPX+nmDlLKCoqqgARAwBQ8siXKHMKM4tXujKTt+N4CrkAAAAoF1yqkNumTRtt27ZNcXFxdjdw2bNnj217bv755x/169dP1apV05YtW1ShQoV8H/vff/+VJFWtWrXggQMAUILIlyizCjKLFwAAAChnXOqWwkFBQUpPT9fSpUttbVarVStWrFCnTp1ss4BOnTqlo0eP2o09f/68+vTpIzc3N33zzTc5XmBGRUUpPT3dri01NVUvvfSSPD091bNnTwefFQAAjkW+BAAAAIDyx6Vm5Hbq1En33nuvZsyYoYiICDVu3FgrV67UiRMntHz5clu/UaNGafv27TIMw9bWr18//fvvv5o2bZp27typnTt32rZVr15dvXv3lnTlxi3z5s1TUFCQGjRooKioKH300Uc6dOiQFixYoBo1apTcCQMAUAjkS+AqJpealwAAAAAUG5cq5ErSqlWrNHv2bK1evVrR0dFq1aqVvvzyS3Xr1i3Xcb/99psk6ZVXXsmyrXv37rYL05YtW+qGG27Qhx9+qIsXL8rT01Nt2rTRp59+qnvvvdfxJ4Qyz2RydgQAyiPyJaDC3ySNG6QBAACgFHK5Qq6Xl5cWLVqkRYsW5dgnLCwsS9vVs41y065dO23atKmw4ZVas+d/IsmQRNXRkXw9zTKb3HQ+Nilf/X0s7vL38ijmqACUB+RLJ1jUj1TqagpzkzRukAagjHt7zeOq5FlRd10/WDrxsbPDAQA4kMsVclE8kr19nR1CmWTxMCspNV0f7z2lqISUXPsG+npqVOd6FHIBoLTy5ve3y+ImaQBgk+JrUYrFS4Zf/m9mCgAoHSjkAg4QlZCii/FWZ4cBAAAAACXKdNVXVeJT4pWYmihJ8vHwkZ+nn7PCAoAyiUIuAAAAAAAoMB93H5ndzLqQcEFmk1mpGan69M9PJUnDmw2nkAsADkYht5zo880aeSUlKNnbV9/2vd/Z4QAAUPps+VNKSr2yxEL/ps6OBgCAbHVeu1sBySZVaBAldS/ehd0tZouS05IVeixUAZ4B6l2/t6Kt0cV6TAAozyjklhO9v/lYgdERiqpUjUIuAACFseWYFJ0kVfKmkAsAcFmd1+6W/8V4pdf6Ter+cIkck+ItAJQMN2cHAAAAAAAAypar184FADgGM3IBFxaXnKpEa1q++vpY3OXvxR3VAQAAADjX1Wvn2tq4+RkAFBmFXKAEmQr4oXSiNU2rdp9UVEJKrv0CfT01qnM9CrkAAAAAnO7qtXOjrdGqZKnEzc8AwAEo5AIlxNfTLLPJTedjk/LV3+xmUnqGFJWQoovx1mKODgAAAAAcK9oarUtJl5wdBgCUGRRygRJi8TArKTVdH+89lecMW0lqWMVXd7SsWQKRAQCAfEmOlVISCj7O01fyCnB8PABQSsWnxCsxNVESSy4AQEFQyAVKWH5n2Ab6ehZovwVdtgEAABRQSoK0d5mUGJn/MT6VpU4PU8gFgKskpiZq7dG1ksSSCwBQABRygTKgoMs2SJKvxV1+rKkLACiPTG6FH5sYKV2+kHe/TJ4VJJNZijtXsOMwixdAGRdtjXZ2CABQ6lDIBcqAgi7bULuit0Z0rKsEa/4Kvz4Wd26kBgAoGwpbWDWZpYz0gh/P3UtKTZT2h+R/Jq9PZanjeAq5AMoUk/L+CuHVSy5ILLsAANeikFtOnKrXVNGB1RTvV8nZoaAYFWTZhvwWfgN9PTWqcz0KuQDQoJJU2Ufytzg7EhRFYQqrklS5sXTDXYU/bkFn8gJAIYU3qamEGoGqeF0TZ4di4+PuI7ObWRcSLshsMivDyMi2X+aSC9HWaFWyVGLZBQC4BoXccuKtyYudHQJcUH4Lv6y/CwCSnr7V2RHAkQpaWPWpUnyxAIADffzKCFWyVFJQkyDp92XODkeSZDFblJyWrNBjoQrwDFDv+r1z7BttjdalpEslGB0AlB4UcgHkqjDr77IUAwAAAIBrsS4uABQNhVwAuSro+rssxQAAgAMU9oZsybFSSkLBxnBjNQBOlJ+1cwEAV1DIBZAv+V2GAQAAFFFRbsiWniLt+4AbqwEoFfJaO5ciLwDYo5BbTjzxxtPyi49WvF8l1ssFAKAwFu+U4qxXbnbGerkoTkW9IVtB1/8t7OxfAC5pxLSP5R9nVcXrNkuzujg7nFzltnbu1UVeSfLx8OHGZwDKPQq55UTdk38qMDpCUZWqOTsUlAPcHA1AmXQ8WopOkip5OzsSlBclcUO2ws7+lViSAXBRNY+Fy/9ivNIjrZJcu5CbKbu1c68u8krS8GbDKeQCKPco5AJwqILeHI0bowEA4ESFnf3LkgwASkh2Rd74lHglpiZKYqYugPKFQi4AhyrIzdECfT01ugs3RgMAwOkKOvtXYkkGAE6TmJqotUfXSpJGNBtBIRdAuUEhF0CxyM/N0Qo6e9dkkjzMZqWkpec7Dl+Lu/woFAMA4FiFXZLBs4Lk5V88MQEoV6Kt0ayjC6DccblCrtVq1fPPP6/Vq1crOjparVq10rx589S7d+88x549e1ZPPfWUvv32W2VkZKhnz576z3/+o4YNG2bpu3z5cr366qs6fvy46tSpo0mTJumJJ54ojlMCkIOCzN6VpIZVfHVHy5r57l+7ordGdKyrBCvLPKBsImcCcJrCLMkQUEdqN6aQ6/FSAEbpUJTcjIJjHV0A5Y3LFXLHjBmj0NBQPfnkk7r++usVEhKi/v37a9u2bbr11pzvEH358mX17NlTsbGxmjlzpjw8PPSf//xH3bt316+//qrKlSvb+r733nt65JFHdM8992jKlCnasWOHJk2apMTERE2fPr0kThPAVfIze1e6shRDQfuzzAPKMnImAKcryJIMPlUKtx5vYQrAJjfJ7CmlJed/TCZu4oYiKGxuRt5MyvmOytmtoyuxli6AsselCrl79+7V2rVrtWjRIk2dOlWSNGrUKLVo0ULTpk3Trl27chz77rvv6q+//tLevXvVoUMHSdIdd9yhFi1aaPHixVqwYIEkKSkpSc8995wGDBig0NArn9qNHz9eGRkZevHFFzVhwgRVqlSpmM8UQEly9jIPhVkSgtnByAs5E0CpVdD1eAtTAK7cWLrhrsLdxK3TwwUv5CbHSikJBRsjMdO4jClKbkburl5CwWwyK8PIyLbftcVe1tIFUNa4VCE3NDRUZrNZEyZMsLV5eXnpoYce0syZM3X69GnVqVMnx7EdOnSwXZBKUrNmzXTbbbfp008/tV2Ubtu2TZGRkXrsscfsxj/++ONas2aNNm/erJEjRxbD2QFwZcW5zENBl4Qo6OzguORUJVrT8tW3uAvQBV2TuCCxs96xPXImgHKnoLN/CzpGKtzavyazlJ4i7fvAxWcaUzQubkXJzcjd1UsoBHgGqHf9rEtVXLtebmbB99q1dE0yydPsKWu61e6/JeW47dp+vh6+quBZoeReAAD4/1yqkHvw4EE1adJE/v72f2B07NhRkvTrr79mm/gyMjL0f//3f3rwwQezbOvYsaO+/fZbxcfHy8/PTwcPHpQktW/f3q5fu3bt5ObmpoMHD+Z4UWq1WmW1/m9WX2xsrCQpLi5OSYaHfJQif3NqrudoyUhWfFxcvvoWtH9ufROUIff//zNzm6P2XZxxu/K+XSkW9u24WJITLsuamHexNSkhQ/FxvvnqX5C+kiQPbyXGX9ZfsXF5djW7mZSSZujbw+d1OTnvgmiNAC/d3LCyvj9yIc/+BekrSVX8PNW7eQ2dz8h+hkRRYi/oviXJOx+zmuPirrzGhmHke7+uotTmzPjLkuEruRVgJm+GlxQXX7BxhRmT5zjT/35eva1YjuXAMRzLeccqDTFyLHtuFaXIC9KxLVJyfP7G+NeW6t8qJSRLSfnI85m8jMIfqyBjJMm3qtTsTikjPP9jTG6S2UNKu/K7PC7+sqTSmTNLSmFzc045Mz4+Xt6p3vI0eSo+Lut/+2X4yTMl6zYZV/JVekZGoca78pjky8ny9MxhjMlPF6MuKuxMmOJT4lXTt6baV2+fZVsFjwpqX719lv++ekxu/TzNnupVp5fOZ5y3/Zt5e3jbZvvGp8QrKTUp1/actplkkofZQynpKVn6ACgdiv0a03AhN954o9GrV68s7X/88Ychyfjvf/+b7biLFy8akowXXnghy7Z33nnHkGQcPXrUMAzDePzxxw2z2ZztfqpWrWoMHz48x/iCg4MNSTx48ODBo4w9/vnnn/ykKZdCzuTBgwcPHs54lMacWVIKm5vJmTx48OBR9h7FlS9dakZuUlKSLBZLlnYvLy/b9pzGScrX2KSkJHl6ema7Hy8vrxyPIUkzZszQlClTbM9jYmJUr149nTp1SgEBATmOK2vi4uJUp04dnT59OsunzWVZeTzv8njOUvk87/J4ztKVGS9169ZVYGCgs0MpMHJm6VAe/98qj+cslc/zLo/nLJXf8y7NObOkFDY3kzPL7/9X5fG8y+M5S5x3eTrv4s6XLlXI9fb2tvtKSabk5GTb9pzGScrXWG9vb6WkZP+Vp+Tk5ByPIV256M0uMQcEBJSbN+TV/P39Oe9yojyes1Q+z7s8nrMkubm5OTuEAiNnli7l8f+t8njOUvk87/J4zlL5Pe/SmDNLSmFzMznzf8rr/1fl8bzL4zlLnHd5Ulz50qWycM2aNRUennXdpsy2WrVqZTsuMDBQFoslX2Nr1qyp9PR0RURE2PVLSUlRZGRkjscAAMCVkDMBAHAthc3NAADkl0sVctu0aaNjx47ZFgbOtGfPHtv27Li5ually5bat29flm179uxRw4YN5efnZ7ePa/vu27dPGRkZOR4DAABXQs4EAMC1FDY3AwCQXy5VyA0KClJ6erqWLl1qa7NarVqxYoU6depku8PnqVOndPTo0Sxjf/nlF7uLzT///FNbt27Vvffea2vr1auXAgMDtWTJErvxS5YskY+Pj/5fe/ceHFV5h3H8CSHNFRIgy9WAQCIKRcCBcCmSRNIGQTSEEKbGKYygpSMWsIBIa7koQ6kibYeL4IwkUBQhmOFSS6tcnMpwCSIyUrkUgiIkhAiBUEkKyds/mKwsubhsbufsfj8zGcy7582+v/1xziNvsicjRoxwe72BgYGaM2dOlW+D8WbU7Tt1+2LNkm/W7Ys1S/aum8y0B1+s2xdrlnyzbl+sWaJuX6v7bri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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
"colors = ['#1f77b4', '#ff7f0e', '#2ca02c']\n",
"\n",
"for ax, (name, df), color in zip(axes, surveys.items(), colors):\n",
" ax.hist(df['z'], bins=40, alpha=0.7, color=color, density=True, edgecolor='white')\n",
" ax.axvline(df['z'].median(), color='red', linestyle='--', linewidth=2, label=f'median = {df[\"z\"].median():.2f}')\n",
" ax.set_xlabel('Redshift z')\n",
" ax.set_ylabel('Density')\n",
" ax.set_title(f'{name}')\n",
" ax.legend()\n",
" ax.set_xlim(0, 3)\n",
"\n",
"plt.suptitle('Redshift Distributions by Survey', fontsize=14, y=1.02)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### DM Distributions"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
"\n",
"for ax, (name, df), color in zip(axes, surveys.items(), colors):\n",
" ax.hist(df['DMeg'], bins=40, alpha=0.7, color=color, density=True, edgecolor='white')\n",
" ax.axvline(df['DMeg'].median(), color='red', linestyle='--', linewidth=2, label=f'median = {df[\"DMeg\"].median():.0f}')\n",
" ax.set_xlabel('DM_EG (pc/cm³)')\n",
" ax.set_ylabel('Density')\n",
" ax.set_title(f'{name}')\n",
" ax.legend()\n",
" ax.set_xlim(0, 2500)\n",
"\n",
"plt.suptitle('DM Distributions by Survey', fontsize=14, y=1.02)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### DM vs Redshift"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
"\n",
"for ax, (name, df), color in zip(axes, surveys.items(), colors):\n",
" ax.scatter(df['z'], df['DMeg'], alpha=0.3, s=5, color=color)\n",
" ax.set_xlabel('Redshift z')\n",
" ax.set_ylabel('DM (pc/cm³)')\n",
" ax.set_title(f'{name}')\n",
" ax.set_xlim(0, 3)\n",
" ax.set_ylim(0, 2500)\n",
"\n",
"plt.suptitle('DM vs Redshift by Survey', fontsize=14, y=1.02)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Apparent Magnitude Distributions\n",
"\n",
"The apparent magnitude of the host galaxy depends on both the absolute magnitude (M_r) and the redshift."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 6))\n",
"\n",
"bins = np.linspace(12, 30, 40)\n",
"for (name, df), color in zip(surveys.items(), colors):\n",
" ax.hist(df['m_r'], bins=bins, alpha=0.5, color=color, label=name, density=True)\n",
"\n",
"# Add typical survey depth limits\n",
"ax.axvline(23.5, color='gray', linestyle=':', linewidth=2, label='DECaLS depth (~23.5)')\n",
"ax.axvline(26, color='gray', linestyle='--', linewidth=2, label='HSC depth (~26)')\n",
"\n",
"ax.set_xlabel('Apparent r-band magnitude (m_r)')\n",
"ax.set_ylabel('Density')\n",
"ax.set_title('Host Galaxy Apparent Magnitude Distribution')\n",
"ax.legend()\n",
"ax.set_xlim(12, 30)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using an Observed DM Catalog\n",
"\n",
"If you have observed DM values from a specific sample, you can use them to constrain the DM distribution via kernel density estimation. This is useful when you want to simulate FRBs that match a specific observed population."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Observed DSA DMs: N=39, median=445 pc/cm³\n"
]
}
],
"source": [
"# Example: DMs from DSA-110 observations (Connor+24)\n",
"dsa_observed_dms = np.array([\n",
" 561.50, 186.30, 335.40, 371.00, 415.90, 429.50, 586.80, 312.40,\n",
" 213.90, 597.00, 572.70, 1019.50, 576.40, 275.10, 387.80, 405.30,\n",
" 1347.10, 359.50, 319.70, 508.30, 662.30, 552.10, 789.50, 571.30,\n",
" 406.90, 1204.10, 412.00, 306.00, 547.80, 591.50, 395.10, 356.50,\n",
" 441.30, 445.20, 1371.70, 317.30, 501.50, 453.20, 723.60\n",
"])\n",
"\n",
"print(f\"Observed DSA DMs: N={len(dsa_observed_dms)}, median={np.median(dsa_observed_dms):.0f} pc/cm³\")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/DSA_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/DSA_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n"
]
}
],
"source": [
"# Generate FRBs using the observed DM distribution\n",
"df_dsa_from_catalog = generate_frbs(5000, 'DSA', dm_catalog=dsa_observed_dms, seed=42)\n",
"\n",
"# Compare with default sampling\n",
"df_dsa_default = generate_frbs(5000, 'DSA', seed=42)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n",
"\n",
"# DM comparison\n",
"ax = axes[0]\n",
"bins = np.linspace(0, 2000, 40)\n",
"ax.hist(df_dsa_default['DMeg'], bins=bins, alpha=0.5, label='Default (from grid)', density=True)\n",
"ax.hist(df_dsa_from_catalog['DMeg'], bins=bins, alpha=0.5, label='From observed catalog', density=True)\n",
"ax.hist(dsa_observed_dms, bins=bins, alpha=0.7, histtype='step', linewidth=2, \n",
" color='red', label='Observed DMs', density=True)\n",
"ax.set_xlabel('DM_EG (pc/cm³)')\n",
"ax.set_ylabel('Density')\n",
"ax.set_title('DM_EG Distribution Comparison')\n",
"ax.legend()\n",
"\n",
"# Redshift comparison\n",
"ax = axes[1]\n",
"bins = np.linspace(0, 2.5, 40)\n",
"ax.hist(df_dsa_default['z'], bins=bins, alpha=0.5, label='Default (from grid)', density=True)\n",
"ax.hist(df_dsa_from_catalog['z'], bins=bins, alpha=0.5, label='From observed catalog', density=True)\n",
"ax.set_xlabel('Redshift z')\n",
"ax.set_ylabel('Density')\n",
"ax.set_title('Redshift Distribution Comparison')\n",
"ax.legend()\n",
"\n",
"plt.suptitle('Effect of Using Observed DM Catalog', fontsize=14, y=1.02)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reproducibility\n",
"\n",
"Using the `seed` parameter ensures reproducible results."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Are the two DataFrames identical?\n",
" DM: True\n",
" z: True\n",
" M_r: True\n",
" m_r: True\n"
]
}
],
"source": [
"# Generate two sets with the same seed\n",
"df1 = generate_frbs(100, 'CHIME', seed=12345)\n",
"df2 = generate_frbs(100, 'CHIME', seed=12345)\n",
"\n",
"# Verify they are identical\n",
"print(\"Are the two DataFrames identical?\")\n",
"print(f\" DM: {np.allclose(df1['DMeg'], df2['DMeg'])}\")\n",
"print(f\" z: {np.allclose(df1['z'], df2['z'])}\")\n",
"print(f\" M_r: {np.allclose(df1['M_r'], df2['M_r'])}\")\n",
"print(f\" m_r: {np.allclose(df1['m_r'], df2['m_r'])}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using a Custom Cosmology\n",
"\n",
"By default, the module uses Planck18 cosmology. You can specify a different cosmology for the distance modulus calculations."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Comparison of apparent magnitudes with different cosmologies:\n",
" Planck18 median m_r: 21.015\n",
" WMAP9 median m_r: 20.980\n",
" Difference: 0.0346 mag\n"
]
}
],
"source": [
"from astropy.cosmology import WMAP9, Planck18\n",
"\n",
"# Compare apparent magnitudes with different cosmologies\n",
"df_planck = generate_frbs(1000, 'CHIME', cosmo=Planck18, seed=42)\n",
"df_wmap = generate_frbs(1000, 'CHIME', cosmo=WMAP9, seed=42)\n",
"\n",
"# The DM, z, and M_r will be the same, but m_r will differ slightly\n",
"print(\"Comparison of apparent magnitudes with different cosmologies:\")\n",
"print(f\" Planck18 median m_r: {df_planck['m_r'].median():.3f}\")\n",
"print(f\" WMAP9 median m_r: {df_wmap['m_r'].median():.3f}\")\n",
"print(f\" Difference: {(df_planck['m_r'].median() - df_wmap['m_r'].median()):.4f} mag\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Calculating Detection Fractions\n",
"\n",
"One common use case is to estimate what fraction of FRB hosts would be detectable given a survey magnitude limit."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fraction of FRB hosts detectable by survey depth:\n",
"=================================================================\n",
"Survey Limit CHIME DSA ASKAP \n",
"-----------------------------------------------------------------\n",
"Pan-STARRS 23.2 78.0% 73.5% 96.6% \n",
"DECaLS 23.5 81.5% 76.9% 97.6% \n",
"HSC-Wide 26.0 96.7% 95.3% 99.9% \n",
"HSC-Deep 27.0 98.8% 98.1% 100.0% \n"
]
}
],
"source": [
"# Survey depth limits\n",
"mag_limits = {\n",
" 'Pan-STARRS': 23.2,\n",
" 'DECaLS': 23.5,\n",
" 'HSC-Wide': 26.0,\n",
" 'HSC-Deep': 27.0,\n",
"}\n",
"\n",
"print(\"Fraction of FRB hosts detectable by survey depth:\")\n",
"print(\"=\" * 65)\n",
"print(f\"{'Survey':<15} {'Limit':<8} {'CHIME':<12} {'DSA':<12} {'ASKAP':<12}\")\n",
"print(\"-\" * 65)\n",
"\n",
"for survey_name, mag_limit in mag_limits.items():\n",
" fracs = []\n",
" for df in [df_chime, df_dsa, df_askap]:\n",
" frac = (df['m_r'] < mag_limit).mean() * 100\n",
" fracs.append(f\"{frac:.1f}%\")\n",
" print(f\"{survey_name:<15} {mag_limit:<8.1f} {fracs[0]:<12} {fracs[1]:<12} {fracs[2]:<12}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Saving Generated FRBs\n",
"\n",
"You can save the generated FRB population to various formats for later use."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loading P(DM,z) grid from /home/xavier/Projects/FRB/FRB/frb/data/DM/CHIME_pzdm.npz\n",
"Sampling DM values\n",
"Sampling redshifts\n",
"Sampling host galaxy absolute magnitudes\n",
"Using Lz values to sample host galaxy absolute magnitudes\n",
"Example of saving to CSV:\n",
" df_sample.to_csv('simulated_chime_frbs.csv', index=False)\n",
"\n",
"Example of saving to Parquet:\n",
" df_sample.to_parquet('simulated_chime_frbs.parquet', index=False)\n"
]
}
],
"source": [
"# Generate a sample population\n",
"df_sample = generate_frbs(10000, 'CHIME', seed=42)\n",
"\n",
"# Save to different formats\n",
"# df_sample.to_csv('simulated_chime_frbs.csv', index=False)\n",
"# df_sample.to_parquet('simulated_chime_frbs.parquet', index=False)\n",
"\n",
"print(\"Example of saving to CSV:\")\n",
"print(\" df_sample.to_csv('simulated_chime_frbs.csv', index=False)\")\n",
"print(\"\\nExample of saving to Parquet:\")\n",
"print(\" df_sample.to_parquet('simulated_chime_frbs.parquet', index=False)\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary\n",
"\n",
"The `generate_frbs()` function provides a simple interface for generating realistic FRB populations:\n",
"\n",
"1. **Basic usage**: `generate_frbs(n_frbs, survey)` - samples from survey-specific P(z,DM) grids\n",
"2. **Custom DM distribution**: Use `dm_catalog` to sample DMs from observed values\n",
"3. **Reproducibility**: Use `seed` for reproducible results\n",
"4. **Custom cosmology**: Use `cosmo` to specify a different cosmology\n",
"\n",
"The generated populations can be used for:\n",
"- Testing PATH analysis pipelines\n",
"- Estimating host galaxy detection fractions\n",
"- Studying selection effects across surveys\n",
"- Planning observations"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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