{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1eac4eb1",
   "metadata": {},
   "source": [
    "id: notebooks/D_noise_sensitivity.ipynb\n",
    "\n",
    "noise and sensitivity: radiometer equation, SEFD, noise of a visibility, S/N against integration time, bandwidth and baseline length, coherence and clocks, image noise"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86cc9593",
   "metadata": {},
   "source": [
    "<!-- notebooks/D_noise_sensitivity.ipynb -- theory D: noise and sensitivity (Interferosim 0.9.3) -->\n",
    "# D – Noise and sensitivity\n",
    "\n",
    "---\n",
    "  DI Erich Schubert, 07925151\n",
    "  \n",
    "\n",
    "\n",
    "*Theory notebook D.* How long must one integrate to see a source? The answer is the chain *system temperature → SEFD → noise of a visibility → S/N*, limited from the other side by the **coherence** of the two station clocks. Every formula is checked against a simulation with the package; the targets are the ones of the project – OH masers and Cygnus A on the 11.5 km baseline, the Sun with two horns.\n",
    "\n",
    "Package: new in 0.9.3 `interferosim.instrument.sensitivity` – `antenna_temperature_k`, `radiometer_sigma_k`, `visibility_sigma_jy`, `integration_time_s`, `image_noise_jy`, `coherence_factor`, `phase_rms_white_fm_rad`, `coherence_time_s`, `random_walk_coherence`, `incoherent_snr`; further `Receiver.sefd_jy`, `quantization_efficiency`, the sky models and `Observation`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "87005fa2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:45.474380Z",
     "iopub.status.busy": "2026-11-01T11:15:45.474105Z",
     "iopub.status.idle": "2026-11-01T11:15:46.755167Z",
     "shell.execute_reply": "2026-11-01T11:15:46.753943Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B210 profile: T_sys = 120 K (with external LNA), bandwidth 2 MHz\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from interferosim.constants import C_LIGHT, HI_21CM, OH_1665\n",
    "from interferosim.instrument import (Antenna, Receiver, Site, Station, Array, antenna_temperature_k, radiometer_sigma_k,\n",
    "                                     visibility_sigma_jy, integration_time_s, image_noise_jy, coherence_factor,\n",
    "                                     phase_rms_white_fm_rad, coherence_time_s, random_walk_coherence, incoherent_snr)\n",
    "from interferosim.sky import SkyModel\n",
    "from interferosim.observation import Observation\n",
    "from interferosim.signal import quantization_efficiency\n",
    "\n",
    "CFG = Path(\"..\") / \"configs\"\n",
    "DATE = \"2026-11-01\"\n",
    "b210 = Receiver.from_toml(CFG / \"receivers\" / \"b210.toml\")\n",
    "site = Site.from_toml(CFG / \"sites\" / \"wilhelmsburg.toml\")\n",
    "ants = {n: Antenna.from_toml(CFG / \"antennas\" / f\"{f}.toml\") for n, f in ((\"horn 15 dBi\", \"horn_15dbi\"), (\"Yagi\", \"yagi\"), (\"dish 3 m\", \"dish_3m\"))}\n",
    "dish = ants[\"dish 3 m\"]\n",
    "target = Array(site, [Station.from_enu(\"W\", site, 0, 0, 0, dish), Station.from_enu(\"X\", site, 11_500, 0, 0, dish)],\n",
    "               receiver=b210, name=\"project baseline 11.5 km\")\n",
    "B, TSYS = b210.bandwidth_hz, b210.t_sys_k\n",
    "rng = np.random.default_rng(11)\n",
    "print(f\"B210 profile: T_sys = {TSYS:.0f} K (with external LNA), bandwidth {B / 1e6:.0f} MHz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e13a900b",
   "metadata": {},
   "source": [
    "## 1. The radiometer equation\n",
    "\n",
    "A receiver measures noise power. Averaging $N = B\\,t$ independent samples of a noise signal of power $T_\\mathrm{sys}$ (real samples: $2Bt$; complex samples at rate $B$: $Bt$ complex values with two components each) gives an estimate whose scatter is\n",
    "\n",
    "$$\\sigma_T = \\frac{T_\\mathrm{sys}}{\\sqrt{B\\,t}} .$$\n",
    "\n",
    "A source raises the power by its antenna temperature $T_A = S A_\\mathrm{eff}/2k$; it is detected when $T_A \\gg \\sigma_T$. Simulated: complex noise at 2 MS/s, the power averaged over $t$; the scatter of many such measurements against the formula."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9dbbbd26",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:46.758596Z",
     "iopub.status.busy": "2026-11-01T11:15:46.758295Z",
     "iopub.status.idle": "2026-11-01T11:15:49.109823Z",
     "shell.execute_reply": "2026-11-01T11:15:49.108174Z"
    }
   },
   "outputs": [
    {
     "data": {
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nXzJYNdhyzdW/5ZZbKrooQc3q1wEREWnGL/lIREREppP5wlYlc21l3q7MozfjsU4UGNcBERG5scebiIgohMkCaBd6NNSzzz7rdX6tWrVCs2bN1ArZ8qxjKz8ejYiIyF84x5uIiIiIiIjIROzxJiIiIiIiIjIRA28iIiIiIiIiE4X84mqy4urBgwdRpUoVzkMjIiIiIiIir8iTuTMyMpCUlAS7vfQ+7ZAPvCXorl+/vnc1S0RERERERORh3759qFevHkoT8oG39HS7KsvzGZjSE56amoqEhIQLfnthBDOPZ3TeRuVX3nz83Ubkm1Bsn0A6Z6uU1Z/lMPtYVrzX8j4b/KzyXvanQDpnq5Q1WO61VrzPGpGPVa4T8r190tPTVSeuK6YsTcgH3q7HnEjQXTTwzsrKUtv8FXibdTyj8zYqv/Lm4+82It+EYvsE0jlbpaz+LIfZx7LivZb32eBnlfeyPwXSOVulrMFyr7XifdaIfKxynVDZ28ebR2eyZYmIiIiIiIhMxMCbiIiIiIiIyEQMvImIiIiIiIhMFPJzvImIiIjIWHl5eTh37pxp8y0lb5lzafX5sFYpqz/LYeaxjM7bqPzKm49VrhM6X0REhGGPnGbgTURERESGPdP28OHDOHXqlKnHkEBFnp1r1AfiYC+rP8th5rGMztuo/Mqbj1WuEypefHy8Ie3CwJuIiIiIDOEKuhMTExEbG2tKECFBSm5uLsLDwy0fpFilrP4sh5nHMjpvo/Irbz5WuU7o/HbJzMzE0aNHVdvUqlUL5cHAm4iIiIgMGV7uCrpr1KhhWo0GUpBilbIy8Da3Xhh4B6+YmBjVvocOHVL3uPJMBeAkAiIiIiIqN9ecbunpJiIKFrH5o3fKu24FA28iIiIiMozVe6GJiCrinsbAOxD88i9g20Igz5zVQYmIiIioeFu3bsXJkyeD7ljF2b59O06cOHHB/TZt2qSGaBNZWWZmJjZu3KiGipckPT0du3bt8kt5GHhbXeYJYMHjwOdXAJOaAVMnAlvnA7k5FV0yIiIiItM4HE5k5uSqnxVp6NCh+P777y17rC1bthi2ivzYsWPxxRdflLrPt99+iwkTJqh50Z5SU1Nx4MABtTp3SY4fP44dO3aUGrR7sw9VLHnsmQS0pbW1FaxduxYXXXQRsrOzS9xHho9ffPHF6pozW8AH3nKz6d+/v0rvvfcegs6WOYAj/8aTdQpY/xnwxVXAK82AKbcDW+YCuSVfTERERESBZPPBdNz37Xq0enwu2jwxT/2U32V7RWjZsiWqV68Oqxo0aBCmTp3ql2PJ4lIPPPAAnnzyyYJt06dPR/v27dGhQwd06dIFSUlJ+Pjjjwv93dmzZ3HVVVep13r16oU6deqcV2Zv9iFrkKBbAlrpLQ50NWrUwM0334xHHnnE9GMFfOAtb86nnnoK7dq1w86dOxF02l0OjP8MaHclEFnZvT0rDfj9C+DL8cCk5sAPfwVSZgPnsiqytERERERlNm39AYx8eymmrDuInDzdmyY/5XfZLq+b5cyZM+qzZNEFlN5++20MGDCg4PeUlBSkpaWpf+/fv1/10LrI30rPmeRVXLBSdPu2bdtKHdot5ZG/k6Hdxe3n6hmWnmbZb/PmzYVel7LJMFoJmIsjPZYllbc4Egjn5ORg+PDhBdukbNJLf/DgQfU4uWeffRa33XabKo/Lgw8+iDVr1mD37t1qn4cffhjXXHON+t2XfYoqa1t4Uz8XqvsLXTfetLer/HJ8Kauct6c9e/act63oEGo5rhxfvrhwkYBYtpXU7t7mLdeW1L+0edF6FcnJyWpfqXuXY8eOYd++fSUe19tyyLElb0nS0Sq97KWRMshjv0pS3Lm4yAiOH374Qb2PQiLwlsoobfx9SapUqaJ6u5s1a4agFBEDtB4FXPkhcP924JovgIuuBiKruPfJTgP++Ar46lo9HP37W4DkmcA59xuQiIiIyMqkR/vur9dDRpbnFRleLr/LJnl98yFje9nk8+ddd92FhIQENdRbfj7xxBMlDv/u3bs3br/9dtSrVw99+vRRPbPy9/LBvWHDhqoHWnrI//WvfxU6jvQQ/vLLL4W2jRo1qtSh3Y8//rgKPq+++mo0btwY3bp1U8GbZ7AqweO///1vtd/111+vtsujj6Tc8jcDBw5EzZo1zyvP+vXr1edn6aVu1KiROoYEXaWRcxw8eDDCwsIKtkmA3Lx584Lfx40bp+rUNW9WAp1PPvlE1ZHUlfjHP/6BqlWrqu3e7lOcsraFq36aNGmCYcOGqfp55513fKp7z+tG8pDOQM/rxpv2lvLfe++9qv7ltf/+979q+8KFC1XZevTogY4dO6pRFytXrjxvCPXEiRNRt25dlU/t2rXVFyN///vf0bRpUzVqoEGDBqqdPXmbt/QAS3327dtX1aFMMXBNKXj00UfVv6WnWOrozTffVMFzz5491bHlb6T+586dW2LbLbxAOeQLCclbktSNXAtyvKJfcCxYsEBdx23atFEjL4YMGYIjR44U2uef//xnsefiIseW9pPRG0EbeMuN4pVXXlGVFRERgZ9//vm8faRy7777bjUMIDIyUn3jKN8OhSQJwluNAK54Xwfh134FtL8GiIpz75OTAWz4Bvj6Oh2Ef3cTkDwDyGVPOBEREVnXR8t3XnD1YHn94+XGLoT0008/4cMPP1S9d7K4mPSaRUVFldpbuGrVKhUkSHApH+KlV1yGX0vQIr1qH330kQqoyrtQ2ueff17Q6yoBjwQot956a8Hr3333HWrVqqV6mWU/6TGWgHDMmDHq87X8jZRx8eLFKpD88ccfC3q6//znP6uATT6PyzlL8HmhRabknGVIeVESJMnxly5dqgJhCeYlQHctGJeRkYHu3bsX7C/PQpZ5tVJeb/cxqi0860fOW44t9SOBpqt+vKl7z+tGAnLpLb3QdVMcCU4lBpLRCvJFilyDl19+OV599VX1BYEEtHJc2Xb69OlCfyu/y3FltIG8fuWVV6ovT+TvZJu070MPPVSwvy957927V+UtPyXQ/utf/6riMglQv/rqK7XPihUrVB1NmjQJL7zwgnrmteuaky8dShqNvN2Lckjs5+rxljaSvJYvX17oSxSJCUePHo0bb7xRXYOSj9Sh5xckpZ2Lp86dO6vzCdrAW94YUtnvv/9+iftI5X3zzTfq2wy5gOTbCvmG6kLfyAW9iGig5aXA5e/qIPxP3wAd/gREx7v3yTkNbPwe9m9vQOInPWGTIHzTVCAnxOuOiIiILEUWUJu+/tB5Pd1F5eXvV5ZRkiWRD/rSuVO5sp7SJ/+WD+eevbpF3XHHHaqnUUhvnCw0Jtuk19HV6ytDY2WIbHlJICdBgwQT0rO6ZMmSYofLukjwsHr1atx0000qAJLAUM5JekBdc6ZlHwkoX375ZXWe8oWGBE7SEVYaCWwkQC9KAm7pmZTASf4tga8EYcI1/FsCKU/yuwxL9nYfo9qipPqRILXonPLS6r4s101xZFi+9Py6vPvuu2jbti1at26tyiYBuRxbhqj/9ttv5/XkutpMzlPK+/TTT6s6kDaVLxg8e7x9yfuZZ55R5yT+9Kc/qS8uJHAtidRHXFxcwaJ7EqBLOxTnXR/KIW0nQ9vlNRm9IT3lLrK+l/SwP/bYYwVf2skXPtKWvp6LjFwobsi7kQovR+hnMjdbeM4L8CTB9X/+8x/1bYh8CyEmT56svtmTYPwvf/mLX8trWeFRQIthOslq57t+1gF2yky9IJt8w5KbCWyeolNELNB8CNBmrP6byEoVfQZEREQUwrJy8wrmdF+I7Jd1zoELxIhek/nK8kFdhhPLMFUZnjx+/PjzgkBPruHQrp5Z6en03BYbG6t+Fu1F9JV8DpagQo4h5ZHASnqrJUCQYcTFkUBGgr+in5Ply4oWLVqof0sgI0NuXcGpiI+PV0O2SyPBS3FB/8iRI1USMjRcgkDpRZbh365ArOjfyUrTrqDRm32Maoui9SP14graXPXjTd0XvW5k6uu1115b7BcTpZG/9yTlky8JpPfakwSYRa+n4s6z6DbPv/ElbwmcXSpV0rGCjEooiYwqkGvANXxf6kcCf6m/opK9KIe0/S233IKvv/5axX4S1MsXNJ7nJ3nISIQLjZTx5lzkeHLtBG3gfSHr1q1TCwX069evYFu1atXUEBf5tkreMNI40sgSvMub9ddff1VDQ1zffBUlleq5pLxrNT55I3kuiS//ljeiv5bJN+x49nCg6SCdRrwG7FoCbJ6qhpvbZS64OCdB+DSVnOExKgh3th6dH4RX9ltZy5uPv9uIfBOK7RNI52yVsvqzHGYfy+j8jciP99ngZ5X3smdZXMkXUWF2RIbZvQq+Zb+ocP1B24iebwn6ZG6n9H4uWrRIfdCXHlsZ4ly/fv2C43geq7hzLOm8S/s71xpHxe0jw2ulx3DOnDlqtKeQ4dNdu3ZVQWBJ+boCVenV9QwkZGitvCb7SW+0fMYuWl7p9Cqt/SRIlIWzSqt3GfYrvefTpk1TgakrmJeRq9LL6SKjXqV+JS9v9ilan54/vWkL17ai9eOqF8/9vKn7otfNl19+qXqbS7tuimtvV2Dq2ubqfZf6K47n3xf9t+fP4rYZkXdJ+0jvtYwMkB5r+dLlnnvuUV9eFDfPO9KLcrz11lsq3pMh5q7AWebQz5gxo+CY0dHRBddsSflc6FxcZGRDq1atSr22i8aLrm1BEXi7JsZL17+nxMTEgtekwl095y6lPfJBbgQyLKMomY/guVqeVKLMFZDKL+6bGqOZdry4i+C4uC3Smt+GxDMpiNk1H9G7FsCepee52HLPAsnTYUueDmdYFLIb9EVWk2HIbjgAzhKCcKPKWt58/N1G5JtQbJ9AOmerlNWf5TD7WEbnb0R+vM8GP6u8l4UEMFIeCS7K8gzmke1rY9rvpQ83D7PbMLJ9LXUcOd6Ferq8IR03EghIsCSdOjfccIPqVZMhra7Fylzn5SLBV9FzLG6b/O6a8yufZyVode0jvXcy3LVo3q7fpVdQeixleK3rdZl66crXtU0+C0unkut3mSctx5T539JzL+T6kG1yrhJsytOA5HOvBDYyj1rI0HP5fF20PJ6kB1s6uVyvy0/XUHUXyVfOTRZAltclaJJe0FmzZhWsDi9DfeXYElx5u4/neQjXMb1tC9c2z/qRhdM883NdC97Uved1I182yBBm+bfruvG2veX4ci27yiELlMnQaPkSQmIez/2kjPI+d+3reR14bvP8G89tZc3b86ck1wgF+fLGNdTeVR/y5YQkWYxOvrSQIeLSW+3Jm3JIG8i1Ka+7ji9fcLhWWxeyMNtLL72krhW53lxcX6Z4cy5C2kTWCpB55sVd+657m5xL0ZEBpY0CCKjAuyRy4q43mzS8DO3wlqy8KN/AePZ4y5tE3hyeF4XrGLLdX4G3Wcdz5R3fchzsXa9QzwV37F4OW7L0hM+ELVPPnbHlZaugXJIE4Wg2KL8nfHihueNGlbW8+fi7jcg3odg+gXTOVimrP8th9rGMzt+I/HifDX5WeS+7Ai75ECqfzVwfzH1xc58mmLr+YKn7yIfum/s0VcHehYYge0uGRs+fP18NE5YhxNJbJ71oEqC5zkPq1vOc5PhFz7G4bfK7q6wjRoxQi1DJMeQ8ZEE01xcmnn/n+l2CF2lf6eUbO3asWkBMOpBc+br+RnoaZ8+erQIdCcJldWdZ2frOO+9UwZ6ch4wMlRGhMgdbFlWTv5E52TLPWaZ0Sl7yfG75WbQ8nuSLCQl25POzdHRJoC7P3pbeYVkZWjqyZIVrOWdZgdqVj/QEyyObZEEzCfqff/55tZK3fMnhyz4unm3vbVu4tkk5PetHFoKT4ePSYy31LPXjTd0XvW4k4Pa8brxtb89rWX7K4nT/+9//cNlll6mRF/Il0IYNG9Sq67IIm6zu7ZpH7nkdeG7zzNtzW1nz9vwpSYaEy6gJuaZkWLmMSL7//vvVlycyVUOuQ+ntlnYsrkP0di/KIT3issC2PFFARkTIs+ElOJYREa7yyCJpsniezO2XxfHky5LPPvtMDXGXbd6ci5g3b5760sC1RkBR0i7SbnIuriH9LnKuQRF4u8bwy4qDnr3e8qaWN0RZyLd8xY3fl8os+j8s1zcu/vofmZnHK5S3PRJoNkAnGY6+Z7meEy6rn585WhCEY8ts2LbMBsIi9dD1NmP0gm5RcYaVtbz5+LuNyDeh2D6BdM5WKas/y2H2sYzO34j8eJ8NflZ5L8vxpSyu5Ku2SfF4fXxH9cgw+XvPnm/p6ZagRV5vUyeuoFfKiB5vmUcqH6jlA7sEqBI8SM+aa8izBGoyx9d1LAlaJdDwPLYEuzJH2nOb/L30Brq2Sc+tBHKyurjMrZYFhCU4kTnBrn08jyXBhgTUsgCaBAbymgQ6skq1fJZ1/Y0EzpKva8VtGer8+uuvq0BcHl316aefqnOSgFICb9ffffDBB2rUqOtRSxIASR14lqcomU8rvcAS7EigJWWUBa4k2JagSQImOa4ESdKL7crnuuuuU2WWfeWRWfI5XgIv1wJs3u7jOR9bfvrSFtIj6trmWT9yLAkkJcCXgE14U/dFrxv5kkCCb9d14017u8rvOh8h18yyZctUGd944w3V2yr1Liu2u/aVfeQ4nqMN5Pxkm+d5Sz1IfZQ3bwk8ZZsEnbJNOiulPuQxdtJGEnzL9SQLZ8sXJjICQ9pPfi/uWqrsRTnkS5hTp06p9b3kdRltIU/DksX7XHlKOWSlc+n1lh50qQP5IkRWOvf2XFyLvcmj4TyvteIUd5/15b5rcxq5LGQZycUqvc7yDaNn77UMX5CLUypTvpUS8s2UXLyyfL+8QcpLvrGTi1KGaRXt8ZaAX4Y3+KvH26zjeZ23Iw/Y+0t+ED4dOF34GXiKPQLOJv2RXm8gqnS7BvZK1c0vl0l/T+YKxfYJpHO2Sln9WQ6zj2V0/kbkx/ts8LPKe9nV4y3zXWUesC+9QMU9z1seGTZt/UE15zsy3I4xHZIwoVdjtEmKKxhq6lq52cqsUlYjyyELWslK3NLbW9yoAzPP2ei8jcqvvPlY5ToJRTt37lRBvsxFLynwlphUFiSUL7CK9niXFEtarsfbNU/DNf7eNffC9W2CnLwE3DI0Q4aByFANGRoi30LJsBYymD0MaNRbp0tfAvatdAfhGYf0Po5zsG1fgPjtC+Bc8jjQpL9eHV2eLx5b9iCciIiISEhwPemqDnjpivZqtfOYiMJziKliSe+vdJYRBYMmTZqo4e3+UKFfjcrQBPlGVIZ3yBAAGaYgv0ug7fLcc8+p+SRXXHGFWmlOJrTL4gYXGgpABgThDS8BLnsZuHszcNM8oPvtQBX3cvw2Ry6wfSEw/U7glebA/8YBa/4LnNHPYiQiIiIq80cRuw2xkewBJKLgUKE93jJU/ELDxWXIxYsvvqgSVRAZutagh07Dnodj3284u+ZLxO5eAFv6Ab2PBOE7ftRp5t1A4z66J7z1KKCSb88zJCIiIiIiCiaWXlyNLBqE178YGVGNEDPmNdgOrQM2TQE2TwfS9up9nHnAzp90mnWPHrouC7PJCumV3Y8MICIiIiIiCgUMvKnsZL5Vva46DX0WOLhWzwnfPBU45QrCHcCuJTrNvh9o2Cs/CJeecAbhREREREQU/Bh4e6wKKsnzd1n8zXObmcw8ntF5l5hfnU46DXoKOPQ7bBKAJ0+D7eRudxC+e6lKztn3w1a/B2IaDISj67VAfN0KPy8yVii2TyCds1XK6s9ymH0sv91r/ZiHVa4TCow2cpXFlczkyt8CD+cJmLL6sxxmHsvovI3Kr7z5WOU6Ie/jRdc2b4Vs4C3PhJPkWlFdng0uj8HwrERZFt71oHuzmXk8o/P2Kr/wJKD9HcBFtyP8eDKid8xVKTx9j3rZBiew7xfE7/sFzuXP41ztTshqMhxZTYbBUbl2hZwXGSsU2yeQztkqZfVnOcw+VoXca03OwyrXCQVGG8mzdqU88oQa13O2zXwqjrD6audWKas/y2HmsYzO26j8ypuPVa4TKv3eduLECbXQt6eMjAx4K2QD74kTJ6rkevZaQkLCec/xlgtftvsr8DbreEbn7XN+tWoBbfoDzhfgOLIRNnk82eZpsB3fVhCERx5eq1LciufhrHcxnK454fH1/HZeZKxQbJ9AOmerlNWf5TD7WBV+rzUhD6tcJxQYbSQdGPIhVBbGlWS24p4hbVVWKas/y2HmsYzO26j8ypuPVa4TOr9d5P5avXr1857jLU/k8lbIBt5FuZ4d7kn+R1bcdrOYeTyj8y5zfkkddBr4GByHNyJz9ZeotGchbMe2uPPe/5tKmP8oUK+bnhMuqWoD48pBfhGK7RNI52yVsvqzHGYfyzL3WgPzsMp1QtZvIzm+lMWVzCK9g678rd47aJWy+rMcZh7L6LyNyq+8+VjlOqHSFXef9eW+y8CbKobcVGq1xeludyF2xLM68N48TS/Olprs3m//Kp3mPwbU7eIOwqs1YssRERFR0A5tjYyMNCQvzhkmsgYG3mQNia116v8QkOoRhB/d5N7nwBqdFjwBJHVSQ9HDavUBErk6OhEREQWPt956iwEzUZBh4E3Wk9AS6PeATse26ceTbZoGHNng3ufgOtgPrkOCfJNbp0N+T/hYoEbTiiw5ERERUbkkJyejVatWrEWiIMPAm6ytZnOg7/06Hd+RH4RPBQ7/UbCL7dDv6vFlWPQ0UPui/CB8HFCzWYUWnYiIiMhXP/74I26++WZWHFGQYeBNgUN6s/vci81Nb8G0xUsRnjIDw2y/or19l3ufwxt0+vFZoFY7d094QouKLDkRERGR16vD+7JSMhEFBgbeFFCmrT+Au79er1Z8zHOMwmSMQj3bUYwM+w2X2n9FB/tO985HNuq0+DkgsY07CE/k8C0iIiJy9zB/8cUXpVbHo48+isaNGxuy0Nmdd96Jhx56CPXr1z/v9WPHjqlHwxX1+uuv49VXXy34vVKlSmjdujWefvpptG/fvmD7uHHj0LdvX9x9993lLisRGYvPBqGAsflgugq6HU4gT/6Tb78zEf/JHYkxOc+id/abONxDVkDvWviPj24GfnoB+Fd3YHJ3YPHzwJHN8n9A/58IERERWUaVKlXQo0cPlbp06YIPP/wQYWFhBdsk1apVy5BjrV69WgX5derUKfb1OXPmYPjw4edtX7JkCTp37oxff/1VJcnj4MGDuOaaawr2ycvLw4IFC9C8eXNDykpExmKPNwWMj5bv1M82LCVYPmRLxKsZnTDplvuBU/uA5Ol6Trg8F9wlNQX4WdJLQM0W7p7wWm31Y86IiIgoZHTr1k0lsX79evXz9ttvR8eOHQ0/1syZM1VgHR5e/Efwo0ePIrGYp7WsWbMGEydORL169dTv8lPy+c9//lMQ0I8ePRpnzpxR88MjIiJw3XXX4aWXXjL8HIiobBh453M4HCp5/i7DgTy3mcnM4xmdt1H5+ZKPw+HE9PWHCvV0F0den7b+IF68vB1scXWB7rfrlH4ASJ4BmzymbN9K2JCfz7GtwJJJKjlrNFOPKHOqILwdg/By8vd7yAoC6ZytUlZ/lsPsY1nxXlvePKxynVBgtJGrLK5kJlf+Rh9n7dq16vnZbdq0MSxvz7JK4C3DwOXfixcvxvvvv18wzD07OxtRUVHnHVeGn+/bt0/1xrte27x5Mz799FMVjMs2Ke8jjzyCZ555RgXhIi4urlBeZtXZhc7Z6nkblV958/Fn+5Ax8aJrm7dCNvCePHmySjIsR6SmpqrFLDwrMS0tTV38drv5I/LNPJ7ReRuVny/5nD2Xh5w87y5s2W/fwSOIjvDMMwJofLlK9jNHEL1zPqJ3zkPEodUFQbjt+HZg2WuwLXsNuXENkdV0GLKaDEduzTYMwk1u32ARSOdslbL6sxxmH8uK99ry5mGV64QCo43OnTunypObm6uSWeRcXZ/f1Eg4A0nPctu2bVW+RpyDZ1kPHz6MP/74A0OGDFF5t2vXDrt371afQatVq6aGiffp0+e84/72mx619+c//1n1lJ89exYZGRl49tlnVRAv+0sP9/79+9V879q1axf8rSsvM+ustHM2+lhG521UfuXNx5/tQ2W/t504cQKnT58u9Jq8F70VsoG3fEMoKT09HfHx8WohC/lm0EUqVy582e6vwNus4xmdt1H5+ZKP9HhHhtm9Cr5lv/pJtUq5cSUCjS8CBt0LZ8ZhOFOkJ3w6sHcFbE6df3j6HlRe955KzmqN3D3hdToyCDehfYNFIJ2zVcrqz3KYfSwr3mvLm4dVrhMKjDaSDgz5ECrBYaGh1O/1B04fNfRYEepL8wsEKJUTgVt/8ilfGWouc6lLGgpeVhIYz507V80Xdw0llzYbO3Ys5s2bp4LqLVu2YOTIkcWWqVGjRmqet8jMzMS7776Lp556Sg0vb9mypdq+ceNGdOjQodSySzn8xcxjGZ23UfmVNx9/tg/51i5yf61evTpiY2MLvebLEwhCNvAuSiqz6P+w5H9kxW03i5nHMzpvo/LzNh95eXTHOpiy7mCpw83D7DaM6ZikFkXxSnwS0P2vOsmHApkTLsPRdy8D8oNw28ndwIq3YFvxFlC1gfs54XU7Mwg3qH2DSSCds1XK6s9ymH0sK95ry5uHVa4Tsn4byfGlLK5UQP7/mnGwYgrlQ++hfInx+++/qyDYqF5H6cl05TVr1iwVWHvmLYH3448/juuvv159dinuuDL8vVOnToVWQX/xxRfxxhtvqF7yVq3001qk7LLYWnF5eJbDHz3eZh3L6LyNyq+8+fizfajsirvP+nLfZeBNAeOmXk3ww9oDF7xxTehVxsd9yDfj3f5Pp9OpQMoMHYTvWgo49fAfnNoLrHhbp/j67oXZ6nbR3w4QERHR+f9/NVD+TFjV420z8LjS4yyLk0mPd3FDTb///ns1tzonJwe33norfvjhB9x2222oXLmy2uejjz7C0KFD1UjKr7/+Grt27VJDvWXutczdXrRoEZ5//vlC+UpvtQw3/+WXX1RwXdLw9wkTJpy3CJt85pEh6kKGwLqGmhORNTHwpoDRJikOr4/v6PEcb2ehnm75H5C8LvuVW+UEoOtNOp05BqTM1EH4zp/dQXjaPuCXd3SShdxcQXi9bgzCiYiIXP76s7F14XSqgFYNqTawd3DdunWq17m44FVWOZe59BIcy1BTCa5l7rXsK8H28uXLMX36dNx0003o3bu3mr/dsGFD1Rsm+0vPtAwtl/njRQ0YMADPPfccpk6det5rElDv2bNHDSF3kTnhUp4GDRqooeZCyiassMgeERWPXXQUUMZ0rIuZf+uDyzvVVXO5hfyU32W7vG64SjWBLn8Brp8C3L8dGP0O0GwwYPf43kpWTf/1X8BHQ4HX2wJzHgT2/CL/BzS+PERERGQ4GdItw7ZjYmLOe016mOVZ3j179sR9992HGjVqqIB52bJlam77/fffX/BoL1mFPCkpCYMHD8YDDzygtslq5sXN3xZjxoxRgXxxc7Olt1v89a9/VY8QkzLIc7pr1qypju1an0jmgF955ZXo3r272u+7774ztG6IqPzY400BR3q0J13VAS+Ma4d9hw6jQVJt7+d0l1dsdaDz9TplngC2zAE2TwV2LAYc5/Q+Mo9t5X90qlwbaDNa94Q36AHY/VROIiIi8ok8F3vYsGHFvibDymVxszlz5qjh4tKD3b9/f9xxxx144okncOeddxasJi7B8o8//qjmYEsv96RJkzB79my1IFpxZMG1qlWrFvtar1691KPEXKT3XBZ4KkpGAn777bdqxWXp/ZbAnIishYE3BSy73YaYiOIXIvFbEN7pOp3OngS2zM0Pwn8E8nL0PqcPA7+9p1PlWkDrUToIb3gJg3AiIiILkR7q4vz8888q4JZ53vKMbNdw8datW2Pnzp0qyH355ZfVNpnbLUPWZeXxDRs2qJ5q+Sm94BKoF0eGo8tzuIsjgXbRVZRLI/PNXXPOichaGHgTGSGmGtDxWp2y0txB+PaFHkH4EWDVBzpVSvAIwnsBYXwrEhERWZE8X1l6pCMjI1WPuDyHW2RnZ6uh35MnTy60v+wrQ81ldfRu3bqpBdm++OILtcAaEYUuftonMlp0PNBhvE5Z6cDWeToI37YAyMvW+5xJBVZ/pFNsTaD1SL04W6O+DMKJiIgsZODAgSp5kmD7008/VUPMXc/lFuPHjy+0nyz82qJFixJ7tIkodDDwJjJTdBzQ/iqdsjMKB+G5WXqfzGPAmk90iqnuDsIb9wPCItg+REREFhMREYHHHnsMo0aNquiiEFGAYOBN5C9RVYCLrtQp+zSwbb4OwrfOB3LP6n3OngDWfqqTDF9vNUIPR5cgPDySbUVERGQB8hxvIiJfMPDOJ8899Hz2ofxbhgf563mIZh7P6LyNyq+8+fi7jQwVEasDakk5Z4DtC2DbPB3YNg+2c5l6H1mwbd1nKjll+HrLEXC2Hg00HQCEWT8ID+j2CYFztkpZ/VkOs49lxXttSN9nQ4SV2shVFlcykyt/s48TTGX1ZznMPJbReRuVX3nzscp1Qt7Hi65t3grZwFvm5kiSBTNEamqqeg6jZyXK4xjk4pfVJs1m5vGMztuo/Mqbj7/byFQ1LwH6XgL0fBJR+5YieudcRO1eDHuuDsJtsmDb71/A9vsXcERWQXajQchqMgzZ9XtbNggPqvYJwnO2Sln9WQ6zj2XFey3vs8HPKu9lIat+S3lyc3NVMoucq+vzW4U92STAyurPcph5LKPzNiq/8uZjleuESr+3nThxQj2yz1NGRga8FbKB98SJE1VKT09HfHy8es5iXFxcwetSuXLhy3Z/Bd5mHc/ovI3Kr7z5+LuN/KZuQ6DHn4FzZ+HY8SNsajj6PNhy9BvbnpOBmK1TVXLK8PUWl8Ipc8KbDgTCo2EVQds+QXLOVimrP8th9rGseK/lfTb4WeW9LKQDQz6EhoeHq+SPedaBwipl9Wc5zDyW0XkblV9587HKdULnt4vcX6tXr37e4/2io73/7B2ygXdRUplF/4cl/yMrbrtZzDye0XkblV958/F3G/lVVCWgjTxybBRwLks/H1yC8C1zgOx0tYtNFmzb8A1sG74BIqsALYfrhdmaDQYiYir6DIK7fYLgnK1SVn+Ww+xjWfFey/ts8LPKe1mO7+qtM7PXTnoH/XGcYCqrP8th5rGMztuo/Mqbj1WuEyqea/h/cfdZX+67DLyJAkFENNDqMp1ys4Edi3UQnjIbyE7T+0iP+IZvdYqsDLQYlh+EDwEiC387R0REZPj/qvJ76zIzMxETU/Ff/hIRGUHuaRJ8l3dEAgNvokATHqV7tiXl5gA7f8oPwmcCMhdc5JwGNn6vU0QloMVQHYQ3HwpEVqroMyAioiAUFhaGqlWr4ujRo+p3GZJpRu+dfACWOeQynN3qvYNWKas/y2HmsYzO26j8ypuPVa4TOr9dJOiWtcBkSLnc48qDgTdRIJNHjElQLSn3DWDXEmDzFCBlll4VXZw7A2yaopOspt58SH4QPgyIqlzRZ0BEREGkdu3a6qcr+DaDaxV3z6HtVmWVsvqzHGYey+i8jcqvvPlY5Tqh4sl6YEa0CwNvomAKwpsP1mmkKwifCiTP1M8HF/Koss3TdJKF2FQQPlYPS5eF2oiIiMpBPpzWqVMHiYmJaiVgM0iAcvz4cdSoUaPC57UHSln9WQ4zj2V03kblV958rHKd0PlkeLnc14z4MpGBN1EwCosAmg3SacRrwO5l+UH4DCDzuN4nN0v/Liksyt0T3mI4EO1e4Z+IiMjn/w2FhZV7WGZpQYp8GJahn1YPUqxSVn+Ww8xjGZ23UfmVNx+rXCdUPF+e1V0aBt5EoRCENx2g02WvAnuWu4PwM6l6n7xsPUdckgThErBLT7jMI4+Or+gzICIiIiIKaAy8iUJJWDjQpJ9Ol70C7Fmhg/DN04EzR91B+JbZOoVF6ueDqyD8UiCmakWfARERERFRwGHgTRSq7GFA4z46XfoysPdXdxB++rDeJy8H2DpXJ3t+z7kE4fJYs5hqFX0GREREREQBgYE3EekgvFEvnYa/BOxbmR+ETwMyDukacpwDts3XaYb0nPfPD8JHALHVWYtERERERCVg4E1EhcmiHg176jTsBWD/KncQnn5A7+PIBbYv1GnmP4DGffOD8JFApRqsUSIiIiIiDwy8iaj0ILxBd52GPgccWOMOwtP2uYPwHT/qNPNuPXRdzQkfwZolIiIiImLgTUQ+BeH1u+k09FngwFpg8xRgkwThe/U+zjxg508q2Wbdg2pJFwMdrgLajAYqJ7KyiYiIiCgkscfb4/lsns9ok387nU7Dntt2IWYez+i8jcqvvPn4u42oiKROOg36J3BoPWz5PeG2U3vUyzanA1EHfgUO/ArnnPuBBpfAKc8Jbz0KqFwrKKszkK5Jq5TVn+Uw+1hWvNfyPhv8rPJe9qdAOmerlDVY7rVWvM8akY9VrhPyvX18abOQDbwnT56sUl5envo9NTUVWVlZhSoxLS1NVbI/HmRv5vGMztuo/Mqbj7/biEoRXhdoPxG46A6EH9uM6J1zEb1jLsLT9xYE4dizDLY9y+Cc8wDO1emKrKbDkdV4CByVgicID6Rr0ipl9Wc5zD6WFe+1vM8GP6u8l/0pkM7ZKmUNlnutFe+zRuRjleuEfG+fjIwMeCtkA++JEyeqlJ6ejvj4eCQkJCAuLq5QBdtsNrXdX4G3WcczOm+j8itvPv5uI/JSrVpA2wFw5D2P1JSlqHF4CWzJ02E7sUO9bIMTkYdWqVRl2bNA/e5wypxw6QmPSwroag6ka9IqZfVnOcw+lhXvtbzPBj+rvJf9KZDO2SplDZZ7rRXvs0bkY5XrhHxvn+joaHgrZAPvoqQSi1akVHBx281i5vGMztuo/Mqbj7/biHyTl9AGaNsftsFPAkc26YXZNk0Fjm8rCMKx71fY9v0KzHtIBeFqYTaZEx5fLyCrO5CuSauU1Z/lMPtYVrzX8j4b/KzyXvanQDpnq5Q1WO61VrzPGpGPVa4T8q19fGkvBt5EZD6bDajdTqcBjwJHk91B+LEt7v3k+eGS5j0M1OvmDsKrNmArEREREVHAYuBNRP4Pwmu10WnAI/lB+DQdhKcmu/eT54dLmv8oULcLIAuzSarWiC1GRERERAGFgTcRVazE1jr1fwhI3eIOwo9ucu8jzw+XtOAJoE5HoK30hI8FqjeuyJITEREREXmFgTcRWUdCS6DfAzod25Y/HH0acGSDe59D63Va+BRQu707CK/RtCJLTkRERERUIgbeRGRNNZsDfe/X6fgO95zww3+495F/S1r0NFDrIqCtDEcfq/+WiIiIiMgiGHgTkfVJb3afe3WSIDx5ug7CpefbRXrFJf34LJDYNr8nfIzuRSciIiIiqkAMvIko8ILw3nfrdGKXOwg/uNa9j8wPl7T4OSChtTsIl7nkRERERER+xsCbiAKXLK7W6+86ndzjDsIPrHbvIyul/yTpBaBmS/eccAnCZYV1IiIiIiKTMfAmouBQrSFwyd90OrXPHYTv/829jzwz/OeXdKrR3B2E12rLIJyIiIiITMPAm4iCT9X6QM+JOqXtB5Jn6CB836/ufY5vA5ZM0ql6U3cQXvsiBuFEREREZCgG3kQU3OLrAT1u1yn9oA7C5Vnhe1YAcOp9TuwAlr6qU/Umej64JHlmOIejExEREVE5MfAmotARlwR0/6tOGYc9gvDlgNOh9zmxE1j2uk7VGuUH4WOBpE4MwomIiIioTBh4E1FoqlIbuPgWnU4fzQ/CpwK7l7mD8JO7geVv6lS1QX4QPg6o25lBOBERERF5jYE3EVHlRKDbzTqdTgVS8nvCdy0FnHm6fk7tBVa8rVN8fXdPeN0ugN3OOiQiIiKiEjHwzudwOFTy/N3pdBbaZiYzj2d03kblV958/N1GFCLtE1sD6PwXnTKPAymzYFNB+M+wuYLwtH3AL++o5JTh663HwNlmDBxJXQLmnK3SPv4sh9nHsuK9lvfZ4GeV97I/BdI5W6WswXKvteJ91oh8rHKdkO/t40ubhWzgPXnyZJXy8vQH6dTUVGRlZRWqxLS0NFXJdj/0Zpl5PKPzNiq/8ubj7zaiEG2fesNVsmWdRPTuRYjeMReRB36BzZGrXrbJgm0r/w3byn/DWakWopL64VTr0cit0wWwWfe8rdI+/iyH2cey4r2W99ngZ5X3sj8F0jlbpazBcq+14n3WiHyscp2Q7+2TkZEBb4Vs4D1x4kSV0tPTER8fj4SEBMTFxRWqYJvNprb7K/A263hG521UfuXNx99tRKHePolAg5ZA3zvgPHsSzi1zYJM54Tt/gs1xTu0RduYIqm/7Btj2DZyVawOtR6mecNTvAdjDYCVWaR9/lsPsY1nxXsv7bPCzynvZnwLpnK1S1mC511rxPmtEPla5Tsj39omOjoa3QjbwLkoqsWhFSgUXt90sZh7P6LyNyq+8+fi7jcg3Qds+lWQ4+p91OnsSB1ZOQdrqb9AsYxUibfk94acPA6veh23V+0DlWioIV3PCG15imSDcKu3jz3KYfSwr3mt5nw1+Vnkv+1MgnbNVyhos91or3meNyMcq1wn51j6+tBcDbyKicpi2JRN3z6sFm+0uxDrOYJB9LUaErURf+++Iyg/CcfoIsOoDnSoleAThvYAw3oaJiIiIgh0/8RERldHmg+m4++v1cDgBOJ3IQCymOnqrVBmZGGhfp4LwIZEbYM/L1n90JhVY/ZFOsTWB1iN1EN6oD4NwIiIioiDFwJuIqIw+Wr5TDT2SoLuo04jFdEcvzEJvXNu8Gp5te0A/J3zbAiA3fyHHzGPAmk90iqnuDsIb9wXCItguREREREGCgTcRURk4HE5MX38Ieaq7u2Ty+jcbT+GZ8VfAdtGVQPZpYNt8HYRvnQ/kntU7nj0BrP1Up5hqQKsRQJtxOggPj2QbEREREQUwBt5ERGWQlZuHnDzvnt2Yk+tA1jkHYiLDgKjKQLvLdco5kx+ETwO2zgPOZeo/OHsSWPeZTtHxQCvpCR8DNBnAIJyIiIgoADHwJiIqg+jwMESG2b0KviPD7YiOKGbVy8hKQNtxOuVkAtsX6CB8y1zg3Bm9T1YasP5znaIkCL9MB+FNBwLhUWw7IiIiogDAwJuIqAzsdhtGd6yDKesOljrcPMxuw5gOSXoueGkiY3VALencWWD7QmCTDEefC+Sc1vtkpwG/f6lTVBzQ8tL8IHwQEOH9cySJiIiIyL8YeBMRldFNvZrgh7UHSt3H6XRiQq/GvmUcEaMfOSbpXBawY1F+T/gcIDtd7yM///hap8jKQIvhQNuxQLPB+u+JiIiIyDIYeBMRlVGbpDi8Pr6jeqSY9Gh79nxLT7cE3fK67Fdm0pMtC61Jys0Gdvyog/CU2boHXEiP+MbvdIqoBLQYlh+ED9E96URERERUoRh4ExGVw5iOddE8sQo+Xr4L09YfVHO+Ze73mI5Jqqe7XEF3UTKnW4aXS5IgfOdP+UH4TD0XXMjc8E0/6BQRCzQfqoNw+SlzyomIiIjI7xh4ExGVkwTXk67qgBfGtcO+Q4fRIKk2wsLCzK1XCcKlZ1tS7hvArp/1I8qSJQg/pfeRVdJlm6TwGKD5kPwgfJgOyomIiIjILxh4ExEZuOBaTETYhRdSM5o851uCakkjXUH4NB2Ey/PBhTwvPHm6TuHRsDUbjOi6A4D4q4CYeP+Wl4iIiCjEMPAmIgomYRF6gTVJI14Ddi/ND8JnAJnH9T65WbClzETVlJlw/vSI3ld6wmWBtmgDh8YTERERkcLAm4gomINwed63pMteBfYscwfhZ1LVLra8bGDLLJ3CIvWjySQIl3nk0ewJJyIiIjICA28iolAQFg406a/TZa/AsXs5zq75ErG7F8J25qjeJy8H2DpHJ3t+0K6C8MuAmKoVfQZEREREAYuBNxFRqLGHAY16IyO2BWLGvQXb/t/yF2GbDpw+rPdxnAO2zdNJgnAJ2F1BeGz1ij4DIiIiooDCwJuICKEehPfSafhLwL6Veji6pIyD7iB8+wKd7OFA4346CG81kkE4ERERkRcYeBMRkWa3Aw176jTseWD/KncQnr5f7+PIBXYs0mnGP4DGffOD8FFApRqsSSIiIqJiMPDO53A4VPL83el0FtpmJjOPZ3TeRuVX3nz83Ubkm1Bsn0A6Z6/KWq+bTkOeBg6sgU2GoidPhS0tPwh35gE7F6vknHmPGr7ubDNG94RXSjCuHAYx+1hWvNfyPhv8Aum+E4rnbJWyBsu91or3WSPyscp1Qr63jy9tFrKB9+TJk1XKy8tTv6empiIrK6tQJaalpalKtksvkMnMPJ7ReRuVX3nz8XcbkW9CsX0C6Zx9LmtkQ6Dj34AOdyLi6AZE7ZyL6J1zEZ5xQL1skyB818+w7foZztn3IadON2Q1HY7sxkPhiK1pXDnKwexjWfFey/ts8Auk+04onrNVyhos91or3meNyMcq1wn53j4ZGRnwVsgG3hMnTlQpPT0d8fHxSEhIQFxcXKEKttlsaru/Am+zjmd03kblV958/N1G5JtQbJ9AOudylbVWLeCiwYBzEhyH1sOmHlE2DbaTu9XLNqcDUQdXquRc+jTQ8JL8nvBRQJXaxpXDR2Yfy4r3Wt5ng18g3XdC8ZytUtZgudda8T5rRD5WuU7I9/aJjo6Gt0I28C5KKrFoRUoFF7fdLGYez+i8jcqvvPn4u43IN6HYPoF0zoaUtV4XnYb8Ezj0e/6c8KnAiZ36GHACe5bDtmc5MOdBoEFPPSe89Wggro5x5fCS2cey4r2W99ngF0j3nVA8Z6uUNVjutVa8zxqRj1WuE/KtfXxpLwbeRERUfjYbkNRRp0FPAIc3uIPw49vzd3ICe1foJEF4/e5AmzGwJ1wCJCayFYiIiChoMfAmIiLjg/A67XUa+BhwZFP+c8KnAce25u/kBPb9Cvu+XyEht1MWcWs7TgXiiK/HFiEiIqKgwsCbiIjMDcJrt9NpwKPA0WR3T3hqins3eXSZpHmPAHW76uHoEoRXbcDWISIiooDHwJuIiPwXhNdqo9OAh4GjKXBsmoK8DT8g4oSrJxzAgdU6zX8MSOrsDsKrNWJLERERUUBi4E1ERBUjsRVQ80Ecbz0BifZTsCdP173hRza69zm4VqcFTwB1OuYH4WOB6o3ZakRERBQwGHgTEVHFq9kC6PeATse2A5un6CBcFmlzObRep4VPAbXbu4PwGk0rsuREREREF8TAm4iIrKVmM6Dv/Tod3+FemE0eV+Zy+A+dFj0N1LoIaDsGaDNO/y0RERGRxTDwJiIi65Le7D736iTPBlcLs00DDq5z73Nkg04/PgsktnXPCU9oWZElJyIiIirAwJuIiAJD9SZA77t1OrnbHYQfWOPe5+gmnRY/ByS01gG4BOKJrSuy5ERERBTiGHgTEVHgkRXOe/1dp1N73UG4PJLMJTUZ+FnSi0DNlrC1Ho3w2n2AhISKLDkRERGFIAbeREQU2ORZ35f8TadT+wDX6uj7Vrr3ObYFtqWTUBOT4KzR3N0TXqudfswZERERkYkYeBMRUfCoWh/oOVGntAPuIHzvrwCcahfb8W3A0ld0qt7UHYTLSukMwomIiMgEDLyJiCg4xdcFetyuU/ohODZPQ+7v3yLi0BrY8oNwnNgBLHtNp2qN3UG4PDOcQTgREREZhIE3EREFv7g6wMW34kSjsUiMccC2ZZbuCd+zHHA69D4ndwHL39CpakN3EJ7UmUE4ERERlQsDbyIiCi1VagMX36LT6aNA8gz9rPDdy9xB+Kk9wIq3dJI55BKEtxkL1O3CIJyIiIjMCbyzs7Nx9uxZrzONjo5WiYiIyNIqJwLdbtbpdCqQMlMH4buWAs48vY+smr7ibZ3i6+cH4WOAul0Bu72iz4CIiIiCJfB+++23cf/993ud6b333otXXnmlPOUiIiLyr8oJQNcJOp057g7Cd/7sDsLT9gG/vKNTXF13EF7vYrYWERERlX+o+Z///Gf8/e9/v+B+n332mbdZEhERWVOlGkCXG3XKPAGkzMoPwn8CHLl6n/QDwK//0qlKEmytRyGiTl8gYTgA9oQTERGRj4F3jRo1cNFFF6Fr164X3HfDhg1ITU31JlsiIiLri60OdL5ep7MngZTZOgjfsRhwnNP7ZByE7bd3UQPvwrmoNtBmtO4Jb9ATsIdV9BkQERFRIATeEyZM8DrDG264AWFh/JBBRERBKKYa0Ok6nc6eArbMyQ/CfwTyctQuttOHgd/e06lyLaD1KB2EN+zFIJyIiChEeT0W7ueff0ZmZuYFe7s5t5uIiEJCTFWg47XAn74G7t8Ox9j/IKvRQDjDotz7nD4CrPoA+O8o4NWWwMy79XD1vPzh6kRERBQSvA68V69ejSuuuALnzuUPqyti06ZNGDRoEHJy9Df+REREISM6Hmg/HqeG/xvO+7YCl38AtBoJhHs84eNMKrD6I+DTMcCrLYDpd+X3lDMIJyIiCnZeB97XXnstUlJScOONN8LpdBZ6LTk5GQMHDkSPHj3w0EMPmVFOIiKiwBAVB7S/Crjmc9UTjis+BFqPBsJj3PtkHgfW/hf43zjglebAtDuB7QuBvOK/3CYiIqIQCbyTkpIwf/58LFq0CHfddVfB9i1btqigu0uXLvjuu+8QERFhVlmJiIgCS1QV4KIrgfH/00H4lR8DbcYCEbHufc6eANb9D/jsCmBSM2DqRGDbgoI540RERBRCjxMTzZs3x9y5c9G/f3/UrFkT1113nQq627dvjylTpiAyMtK8khIREQWyqMpAu8t1yjmjg2tZmG3rPOBc/hoqWaeA9Z+pZIuOR3yDgUDn8UCzQUA4/x9LREQUEoG36NSpE6ZPn47hw4fjzTffVL9PnToVUVEei8kEIIfDoZLn7zKk3nOb2cc363hG521UfuXNx99tRL4JxfYJpHO2Sln9WQ6zj+VT/jLsXIafS5Kge/si2CQI3zYftpzTahdbVhpitk4Btk6BU4avt7wUztZjgKYDgXDv/p/L+2zws8p72Z8C6ZytUtZgudfyMy1VhNKuO1+uc68D77Vr12LJkiUFv0uvt6x0LguqvfvuuwXbZch5nz59YHWTJ09WKS8vT/0uzx7PysoqVIlpaWmqku12r0fkl5mZxzM6b6PyK28+/m4j8k0otk8gnbNVyurPcph9rHLlX6M70Kc70PNJRO1bhugdcxC1ZzHs586ol23Z6cAfX8P2x9dwRFZGdsMByGoyHNn1+5QahPM+G/ys8l72p0A6Z6uUNVjutfxMSxWhtOsuIyPD+MB7xYoVeOqppwptk6HlL7/8cqFtf/vb3wIi8J44caJK6enpiI+PR0JCAuLi4gpVsM1mU9v9FXibdTyj8zYqv/Lm4+82It+EYvsE0jlbpaz+LIfZxzIs/6Q/Ad3/BEdOJk6tm4aqBxbDtm0ubNn6f+72nNOI2TZDJWdkZaDFMDhl3njTQUCExwJuvM+GBKu8l/0pkM7ZKmUNlnstP9NSRSjtuouO9nh6iVGB95133qlSsJJKLFqRUsHFbTeLmcczOm+j8itvPv5uI/JNKLZPIJ2zVcrqz3KYfSxD84+MRU7jQUD3a2FznAN2LNZzwlNmA9lp+ngyLH3j97Bt/B6IqKSCcLQdCzQbov7eiDJZ5TqhkoViGwXSOVulrMFyr+VnWqoIJV13vlzjPs/xJiIiIj+T4eQth+uUmwPs/Ck/CJ8JZOkgHDIsfdMPOsmq6c2HAm3GwBbfkc1FRERUwbwKvDdt2oSzZ8+ia9euhu5LREREPpLVzVsM1Sn3DWDXEmDzFCBlFnD2pN5HFmzbPBX2zVORGB6tg3DpCW8+TK+u7iWHw4mz5/LUzwDoWCQiIgrswHvOnDk4fPiwV8G0L/sSERFROYPw5oN1GukKwqcCyTP188FleFxuFpA8XScJwpsNBtqO08PS5Tnjxdh8MB0fLd+J6esPISfPgcgwO0Z3rIObejVBmyT3eihERERk8FDzb7/9FuvXr7/gfnv37sXo0aO9zZaIiIiMEBahn/ctacTrwO6lcG6aAufm6bBn5feESxAuw9MlhUXpILzNGPWoMkTrgHra+gO4++v1aj5bnsOptknwPWXdQfyw9gBeH98RYzrWZZsREREZHXh3794dx44d8ypD6enu27evL2UgIiIiI4WFA00HwNm4H452fQCJZ7fDnjwNSJ4BnEnV++RlA1tm6RQWqVZFP5A0DE/MqwSHsxLg1EG3iysIl6C8eWIV9nwTEREZHXjL48EC4RFhREREVIQ9HGjcF2jaH7jsFWDPCj0cffN04MxRvU9eDrB1DupunYNVkWFY6miP2XndscDRGekoPCdcesI/Xr4Lk67qwKomIiLyElc1JyIiChX2MKBxH50ufRnY+wuweZoOwk8fVrtE2vIwKGydSjnOMCx3tMNsR3fMz+uKNFRWPd/Tfj+Il69sr4JwIiIi8uJ/wawkIiKiEA3CG/UGLpsE3JOMrOtn4ePcYTjkrF6wiwThA8J+x6SI97A66nb8N+JFXB22GLG5acg656jQ4hMREQUS9ngTERGFOrsdkY174QVnBp7Ovh6dbNtxWdhKXBr2G+rajqtdImx56Bf2h0rPh3+IsK++0o8oazUSqFSzos+AiIjI0hh4ExEREex2m3pkmKxevtbRAmtzW+C53OvQ0bZDBeASiNez6YVWw20OYOdinWbeo3vOZXX01qOBygmsTSIioiIYeBMREZEiz+mWR4a5OGHHOmdzrMttjudz/4T2tp0YEbYSE6r9jsiMffk75QG7ftZp9n1Aw175PeGjgCq1WLNERESc401EREQubZLi1HO67TYgTP7jIcxux0Y0Re0rX0bkPRuAW38Cev0DqNbIvZPToZ4fjln3Aq+2BD4eAax8D8jQC7cRERGFKvZ4ExERUYExHeuq53TLI8OmrT+InDwHIsPsGNMxCRN6NXY/vzupk06DnwIO/wFskkeUTQVO7MzPyQnsWabTnAeABj31cPQ2o4G4JNY4ERGFFAbeREREVIgE1/Kc7hfGtcO+Q4fRIKk2wsLCiq8leaRYnQ46DXoCOLLRHYQf356/kxPYu0KnuQ8C9XvkB+FjgPi6rH0iIgp65Qq8p0yZguTkZDzyyCPGlYiIiIgss+BaTESY98/rlv1qX6TTwMeAo5vdQfixre799v2q07yHgXoXu4PwqvVNOxciIqKADbzT0tKwdavH/0iJiIiIXEF4rbY6DXgESE1xB+Hyb5f9v+k0/1Ggbld3EF6tIeuRiIiCRrmHmufk5BhTEiIiIgreIDyxtU4DHgaOpgCbp+kgXHrFXQ6s1mnB40BSZ706ugrCPRZwIyIiCsXAW4abJyQkoGvXrujWrRsuvvhi9bNWLT5ChIiIiIqR2Eqn/g8CqVvdQbjMD3c5uFanBU8AdTq6g/DqTVilREQUcOzlzWD8+PHYtm0b7r33XkRHR+PDDz9Ely5d8Le//c2YEhIREVHwSmgB9LsfuH05cOcaYODjeo64p0PrgYVPAW91Av7TB1j6KnB8R0WVmIiIqGJWNa9atSoGDx6sksvZs2eNyJqIiIhCRc1mQN/7dJLA2tUTfuh39z7y6DJJi54Gal0EtJU54WOBms0rsuRERETGBt7p6en49NNPMWHCBAwYMAANGxa/+ElMTIyvWRMRERFpNZoCfe7RSZ4Nvnm6DsIPrnPX0JENOv34LJDY1j0cPaEla5GIiAI/8JZh5BJ0nzt3DvXr89EfREREZCKZ1937Hzqd3O0Owg+sce9zdJNOi58DElq7g3BZ0I2IiChQh5p36tRJBd6iUaNGuO2223D//ffDbi/3tHEiIiKi4skK573u0unUXncQvn+Ve5/UZOAnSS8ANVvmB+FjdRDu7TPJiYiIDFTmKPmvf/0r/vjjD6xZswZ33nkn3nrrLYwcORJ5eXlGlo+IiIioeFUbAJfcCfzfQuDuTcCwF4D63Qvvc2wL8PNLwL97Au9008PSD28EnE7WKhERWbfHOywsDJUqVcKbb75Z0LvduXNn3HTTTejevTs++eQT3HzzzWaUlYiIiKh48fWAnnfolHYASJ6he8L3/gogP8g+vg1YMkmn6k3dPeGyijp7womIyEo93omJiXA4HMjMzCy0vVq1arjrrrswe/ZsI8tHRERE5Jv4ukCP24Cb5gL3JAOXTgIa9gLgMcz8xA79WLJ3+wBvd9aPKzu4nj3hRERkjcBberx79+6thpe75ni7SDBeNCAnIiIiqjBxdYDutwITZgP3pgCXvQI06gPYPD4Cyarpy14H3usHvNURWPCEXriNw9GJiKgiF1d7++23MXz4cLRr1w5XX301mjVrhr179+Kll17CI488YlTZiIiIiIxTpTZw8S06nT7qHo6+exngdOh9ZNX05W/qJHPIZWV0GY5etwuHoxMRkX8D75YtW2LdunUqAP/hhx+wceNGREdH47rrrsO9995b9tIQERER+UPlRKDbzTqdTgVSZuogfNdSwJm/UKysmr7ibZ3i6+cH4WOAul0BPsWFiIj88TixqlWr4vHHH1eJiIiIKGBVTgC6TtDpzHF3EL7zZ3cQnrYP+OUdneLqAq1H68XZ6l3MIJyIiMwLvImIiIiCTqUaQJcbdco8AaTMyg/CfwIcuXqf9APAyn/rVKWOOwiXR5nZwyr6DIiIyIIYeBMREREVJ7Y60Pl6nc6eBFJmA5unATt+BBz5C8xmHAJ+e1enyrV0EC7D0RtewiCciIgKMPAmIiIiupCYakCn63Q6ewrYMic/CF8E5OXofU4fAVa9r1OlRKD1KN0T3uASIIwfuYiIQhn/L0BERETki5iqQMdrdcpKA7bM1UH49oVAXrbe58xRYPWHOsXWdAfhDXszCCciCkEMvImIiIjKKjoe6DBep6x0YOs8PSdcgvDcLL1P5jFgzcc6xdYAWo3UQbg8TzwsgnVPRBQCGHgTERERGSE6Dmh/lU7ZGcC2+cCmqcC2BUDuWb1P5nFg7X91iqkOtBqhg/DG/RiEExEFMQbe+RwOh0qevzudzkLbzGTm8YzO26j8ypuPv9uIfBOK7RNI52yVsvqzHGYfy4r3Wt5nK1BEJaDNOJ1yTqvg25Y8XQXjtnOZep+zJ4B1/1PJGV1VBeHO1mOAJhKERwbUe9mfAumcrVLWYLnXWvE+a0Q+VrlOyPf28aXNQjbwnjx5skp5efr5nKmpqcjKyipUiWlpaaqS7Xa76eUx83hG521UfuXNx99tRL4JxfYJpHO2Sln9WQ6zj2XFey3vsxaS0EslW88nEbl3CaJ3zkPUnp9gz9VBuC3rFLD+c9jWfw5HZByyGw1CVtPhyK53SalBuFXey/4USOdslbIGy73WivdZI/KxynVCvrdPRkYGvBWygffEiRNVSk9PR3x8PBISEhAXF1eogm02m9rur8DbrOMZnbdR+ZU3H3+3EfkmFNsnkM7ZKmX1ZznMPpYV77W8z1pU3UZAzxuAc5lwbF8EW/I0NTfcJj3jAOw56YjZOkUlZ1Qc0PJS3RPedAAQHm3J97I/BdI5W6WswXKvteJ91oh8rHKdkO/tEx1d+J5cmpANvIuSSixakVLBxW03i5nHMzpvo/Irbz7+biPyTSi2TyCds1XK6s9ymH0sK95reZ+1sKjKQNsxOp07q58PLnPC5VFlOboXxZadDvzxNWx/fA1EVlFBuJoT3nQQEBFtqfeyPwXSOVulrMFyr7XifdaIfKxynZBv7eNLezHwJiIiIqpoETF6oTVJ57J0EC6PKNsyG5DgW0gwvuEbnSIrAy2GA23GAHHtK7r0RER0AQy8iYiIiKxEerJbXaZTbjawY7EOwlNmAdlpeh8Zlr7xO9g3fofE8FjYWg4D2o4Dmg0BImMr+gyIiKgIBt5EREREVhUeBbQcrlNuDrDzp/wgfCYgC7LJUEdZoG3TFJ0iYoHmQ/VwdPkZWamiz4CIiBh4ExEREQWI8EigxVCdcl8Hdi2Bc/NUODfPgD1bB+GyYBs2T9UpPAZoPiQ/CB+m55QTEVGFYI83ERERUSAG4c0Hw9l0II52fRCJmVtgl+eEJ8/QzwcXuWcBtW26Xg292WA9HL2FBOFVKvoMiIhCCgNvIiIiokAWFgE0HagCcYx4DdizTK+OLkF45jG9T26WHp4uKSwqPwgfqxdoi3Y/TpWIiMzBwJuIiIgoWISFA03663TZK8Ce5XpOuPR6n0nV++RlA1tm6RQWqR9NJkG4PKosOr6iz4CIKCgx8CYiIiIK2iC8n06XTQL2rHAH4aeP6H3ycoCtc3Sy5/ecqyD8MiCmakWfARFR0GDgTURERBTs7GFA4z46XfoSsPdXHYRLOn1Y7+M4B2ybp5ME4dJr7grCY6tX9BkQEQU0Bt5EREREoRaEN+ql0/AXgX0r3UF4xkF3EL59gU72cKBxPx2EtxrJIJyIqAwYeBMRERGFKrsdaNhTp2HPA/tXuYPw9P16H0cusGORTjP+ATTuC7QZA7QeBVSqWdFnQEQUEBh4ExEREZEOwht012nos8CBNfnPBJ8GpO3TNeTMA3Yu1mnWvUCj3vlB+GigcgJrkYioBAy8iYiIiOj8ILx+N51UEL42PwifCpza6w7Cd/2s0+z7gIa93EF4lVqsUSIiDwy8iYiIiKhkNhtQr4tOQ54GDq3XzwmXIPzkbr2P0wHsXqrT7PvdQXgbCcJrs3aJKOQx8CYiIiIi74PwpE46DX4KOPyHOwg/sTN/JyewZ5lOcx4AGvQA2ozVQXhcEmuaiEISA28iIiIiKlsQXqeDToOeAI5sdAfhx7fn7+QE9v6i09wHgfrd3UF4fD3WOhGFDAbeRERERFT+ILz2RToNfAw4ulkvyrZpCnBsq3s/eXSZpHkPA/W65QfhY4Cq9dkCRBTUGHgTERERkbFBeK22Og14BDianN8TPg1ITXbvJ48ukzT/UaBuF3cQXq0hW4OIgg4DbyIiIiIyT2JrnQY8DKRucQfhRze595FHl0la8LieP+4Kwqs3ZssQUVBg4E1ERERE/pHQEuj/oE7HtrmD8CMb3PscXKfTwif1/HEJwtuOBao3YSsRUcBi4E1ERERE/lezOdDvfp2Obc9/Tvg0vVK6y6HfdVr0Tz1/vM1YOFqNxtlzleBwONXjxomIAgEDbyIiIiKqWDWbAX3v0+n4Dh2AS5Jnhrsc3qBS+I/PIMvRAG87eyCn5SiMGtgfbZLiKrL0REQXxMCbiIiIiKyjRlOgzz06ndilAvCTq79DtVPu4eit7XvRGnuB7d9gy9b6SG4zBq0H3aCHshMRWRADbyIiIiKypuqNsbnJTRg5qzmSkIpL7StxWdhv6GR3PSccaGnfB6S8o1NCK/eccFnQjYjIIhh4ExEREZFlfbR8J2w2G/Y7EvB+3kiVknAMl4bpILyLfZt759QU4OcXdarZUq+MroLwNvoxZ0REFYSBNxERERFZkiygNn39IeQ5nIW2H0RNfJg3QqU6OI5Lw37DiPDf0MW2xb3TsS3Akpd1qtHcHYTXascgnIj8jmtBEhEREZElZeXmISfPUeo+h1ADH+Vdiiuyn8TZv20Ehr8ENLgEgEcP9/FtwNJXgP/0Bt7uAiz8p14t3Vk4oCciMgt7vImIiIjIkqLDwxAZZr9g8C0iw+2Irl4P6HGbTumHgOQZenX0PcsB5AfZJ3YAy17TqVpjd094nY7sCSci07DHm4iIiIgsyW63YXTHOgizlz4/W14f0yFJzQUvEFcH6H4rMGEWcO8W4LJXgEZ9AJvHx9+Tu4DlbwDv9Qfe7ADMfxw4sIY94URkOAbeRERERGRZN/VqAucFhoTL6xN6NS55hyq1gItvAf4yUwfhI14DGvcrHISf2gOseAt4fyDwRntg3qPA/tUMwonIEAy8iYiIiMiy2iTF4fXxHSGd3kV7vuV32SSvy35eqZwIdLsZuHE6cN82YOQbQJMBgC3MvU/aXuCXd4APBgGvtwPmPgLs+01WezP47IgoVHCONxERERFZ2piOddE8sQo+Xr4L09YfVHO+Ze73mI5Jqqfb66C7qEo1ga4TdDpzHEiZqeeE7/oZcOTqfdL3A79O1imuLtB6tJ4TXu9iGQtv6HkSUfBi4E1ERERElifB9aSrOuCFce2w79BhNEiqjbAwj17q8qpUA+hyo06ZJ4CUWToI37nYIwg/AKz8t05V6riD8PrdAbuBZSGioMPAm4iIiIgCasG1mIiwwgupGS22OtD5ep3OngRSZgObpwI7JAg/p/fJOAT89q5OlWvpIFxWSG94CYNwIjoPA28iIiIiopLEVAM6XafT2VPAljm6J3zHIiAvR+9z+giw6n2dKiUCrUfpILxBT9YrESkMvImIiIiIvBFTFeh4rU5ZacCWuToI374QyMvW+5w5Cqz+UCVbbE3ENRoEdL4GaNwXCONHb6JQxXc/EREREZGvouOBDuN1ykoHts7Tw9ElCM/NUrvYMo8hdvPXgKSY6kDrkUCbsflBeATrnCiEMPAmIiIiIiqP6Dig/VU6ZWfkB+HT4Ny2ALbcs3qfsyeAtZ/qJMPXW40A2owDmvRjEE4UAhh4ExEREREZJaoKcNGVKjmz0pG2+jvEH/gJtm3zgYIg/CSw7jOdoqvmB+FjgSb9gfBItgVREGLgTURERERkhsjKyGp2GeIu+Yvu+d62QM8Jlx7xc2f0PlmngPWf6xQVD7S6TAfhTQcA4VFsF6IgwcCbiIiIiMhskZX0M78l5WTqueAqCJ8L5JzW+2SnAb9/qVNUHNDy0vwgfCAQEc02IgpgDLyJiIiIiPwpMhZoI8/9Hg2cOwtsX6SDcHlUWU6G3ic7Hfjja50iqwAth+sgvNkgICKG7UUUYBh4ExERERFVFAmiZbVzSeeygJ2LgU1TgS2zdfAtJBjf8K1OkZWBFsN0EN58CINwogDBwJuIiIiIyApkOLkML5eUmw3s/Ck/CJ+lnxsuZFj6xu91iqgEtBiaH4QP1T3pRGRJDLyJiIiIiKxGFlaTnm1JuTnArp91EJ4yUy/IJmSBtk1TdIqI1T3gEoTL38icciKyDAbeRERERERWJo8Yk6BaUt4bhYNweTSZOJep54lLCo/JD8LHAC2G66CciCoUA28iIiIiokARFgE0G6zTyNeB3UvdQXjmcb2PPLosebpO4dGwNRuM6Lr9gfirgZj4ij4DopDEwJuIiIiIKFCDcHnUmKQRrwF7lukgPHkGkHlM75ObBVvKTFRNmQnnT4/qgF16wmWV9GgG4UT+wsCbiIiIiCjQhYUDTfrrNOJVYM9ydxB+5qjaxZaXrRdqkxQWCTQdlB+EXwrEVK3oMyAKagy8iYiIiIiCiT0MaNxXp8smwbF7Bc6u+RKxexbCdvqI3icvB9g6Ryd7fs+5BOGtLgNiqlX0GRAFHQbeRERERETBHIQ36oWM2OaIGfcmbAdW5feETwcyDul9HOeAbfN0mhGhe81VED4CiK1e0WdAFBQYeBMRERERhUoQ3vASnYa/COz/TQfhshJ6xkF3EL59gU4z/wE07pcfhI8EKtWo6DMgClgMvImIiIiIQo3dDjToodOw54EDq91BePp+vY8jF9ixSKeZd+uh6xKEtx4FVKpZ0WdAFFAYeBMRERERhXoQXv9inYY9BxxYA2yaAmyeDqTt1fs484Cdi3WadS/QqHd+ED4aqJxQ0WdAZHkMvImIiIiISLPZgHpddRr6LHBwbX5P+FTglEcQvutnnWbfBzTs5Q7CKzEIJyoOA28iIiIiIio+CK/bRachTwOH1ruD8JO79T5OB7B7qU6z74etQU/ENhgEdPsTEJ/EWiXKx8CbiIiIiIguHIQnddJp8FPA4T/cQfiJnfk7OWHbuwJxe1fAuexZPX+8zVigzWggjkE4hTYG3kRERERE5FsQXqeDToOeAI5sdAfhx7frXeAE9v6i09wHgfrd3UF4fD3WNoUcBt5ERERERFT2ILz2RToNfAyOwxuRufoLVNqzELZjW9377Vup07yHgXrd9JxwSVUbsOYpJARF4J2bm4s//vgDlStXRosWLSq6OEREREREoRmE12qL093+jtgRz8F2bIu7Jzw1xb3f/lU6zX8MSOoMtJWe8DFAtUYVWXoiUwV84J2dnY2BAwciPT0daWlpuPLKK/Haa69VdLGIiIiIiEJbYmudBjwMHE3RzwiXIPzoZvc+smq6pAVP6Pnjqid8LFC9cUWWnMhwAR94f/XVV4iPj8fy5ctx+vRptGrVChMnTkTTpk0rumhERERERCQSW+nU/0Egdas7CJf54S4H1+m08Ck9f9wVhNfg53oKfBUeeJ85cwZffvklUlJScPvttxcbMO/atQvfffcdMjIy0KtXLwwbNqzgtbVr12LEiBHq3zLUvF+/fli/fj0DbyIiIiIiK0poAfS7X6dj23UALunwBvc+h37XadHTev64ek74GABxFVlyojKzowJ99NFHaN68OebOnYtXX30V+/btO2+fpUuXom3btli1ahXOnj2L6667DnfeeWfB65mZmYiOji74PTY2VgXzRERERERkcTWbAX3vA25bBvxtLTDoSaBOx8L7SED+47OwT+6GGt+OBpZM0r3mRAGkQnu8O3bsiOTkZNWT/f333xe7j/SCjx8/Hh9//LH6ffjw4Rg8eDAmTJiALl26oH79+ti2bVvB/lu2bFHBORERERERBRAZUt7nHp1O7Mofjj5NzwHPF3F8C/DT8zoltnEPR5dh7EQWVqGBd+fOndVPCbyLs337dmzatAlvv/12wbZBgwapYHvq1Kkq8L7mmmvU8PNmzZrhwIEDKvXu3bvUxdgkuciibMLhcKjkIv92Op2FtpnJzOMZnbdR+ZU3H3+3EfkmFNsnkM7ZKmX1ZznMPpYV77W8zwY/q7yX/SmQztkqZQ3Ie23VhsAld+l0ai+QPB22zVNhO7DGvY8s0ibppxfgTGgFtB4NpwTiCa31Cut+KivvtcHNUcp14su1U+FzvEsjvdei6LzvJk2aYOtWPbxEHh/27bff4sMPP1RzvBctWoTw8JJP64UXXsA///nP87anpqYiKyurUCXKKulSyXa7+SPyzTye0XkblV958/F3G5FvQrF9AumcrVJWf5bD7GNZ8V7L+2zws8p72Z8C6ZytUtbAv9dGA02vhqPxlThzcAsSj/2CmF3zEXlkXcEeNnlcWWoKbEteRm7VJshqOhxZTYYht3rLEoNwfqYlb5R2nZTUgRxwgbfM3xZxcYUXUZBVzD3ncffv318lbzz88MO45557CvV4Sw96QkJCoeNIBdtsNrXdX4G3WcczOm+j8itvPv5uI/JNKLZPIJ2zVcrqz3KYfSwr3mt5nw1+Vnkv+1MgnbNVyhos91rJO9VmQ6WOfWC3PwRH+gEgeYbuCd+3smC/8FM7UXnNv1Ry1mimFmVTPeG12hUKwvmZlrxR2nXiudZYQAfe0oMtTp06hapVqxZsl9+TkpLKlGdUVJRKRUklFq1IqeDitpvFzOMZnbdR+ZU3H3+3EfkmFNsnkM7ZKmX1ZznMPpYV77W8zwY/q7yX/SmQztkqZQ2We22hvKvWB3reoVP6QRWEY9NUYO8vAJx6/+PbgWWvwrbsVaB6Ez0fXIJweVyZ3c7PtFSua9qXa9zSd6s2bdoUGnIupItfhpm3bt26AktGRERERESWEZcEdP8rcNMc4N4U4LJXgIay7pPHMPMTO4FlrwHv9QPe6gjbwqcQfnSDBBgVWXIKEZYOvBs2bIhu3brhvffeK9gmi6odOXIEV1xxRYWWjYiIiIiILKhKbeDiW4AJs4B7twAjXgUa9QFsHqHPyd2wrXgTNX+4Era3OwHzHwP2r2EQTqap0KHmq1evxldffYXTp0+r3//9739j5syZGDp0qEpCgm5Zybxfv35o0KCBCryfeuop9WxvIiIiIiKiElWpBXT7P51OpwIp+cPRdy8FnHpFatupPcCKt3WKbwC0Ga2HpNfr6tXq6ESWD7xjYmJQu3Zt9e9JkyadN7fb9axvGVo+a9YstWqcLIzWqVOnCikvEREREREFqMoJQNebdDpzDI7kGTi3/ltEHvgVNmee3idtL/DLOzrF1ct/TvgYoF43NSecKCADb+m19qbnukaNGrjhhhv8UiYiIiIiIgpylWoCnW/EyXqXIrFyOGxbZ+ue8F0/A45cvU/6fuDXyTpVSXIH4fW7Mwgnn1l6VXMiIiIiIiJTxVYHOt+gU+YJYEt+EL7zJ8BxTu+TcRBY+W+dqtQBWstw9DFAgx6FF3AjKgEDb4/ns0ny/F1WUPfcZiYzj2d03kblV958/N1G5JtQbJ9AOmerlNWf5TD7WFa81/I+G/ys8l72p0A6Z6uUNVjutX65z0ZXBTr8Saezp4Ctc9RzwrFjMWwFQfgh4Ld3VXJWrgW0GomIOn3hqH4pEB5R4edFxiqtfXxps5ANvCdPnqxSXp6ez5GamoqsrKxClZiWlqYq2R/POzTzeEbnbVR+5c3H321EvgnF9gmkc7ZKWf1ZDrOPZcV7Le+zwc8q72V/CqRztkpZg+VeWyH32TqDVLL1TkfUnh8RvWMuovYtKwjCbaePwLb6Q9TAh8hbWBNZjYcgq+kw5NSROeHhAXWdkO/tI2uQeStkA++JEyeqlJ6ejvj4eCQkJCAuLq5QBcuD0mW7vwJvs45ndN5G5VfefPzdRuSbUGyfQDpnq5TVn+Uw+1hWvNfyPhv8rPJe9qdAOmerlDVY7rUVe59NBOo3A3rfCmdWGpzb5sG2eRqwfRFsedlqj7CzxxC7+UuVnLE1gVYj4JTV0Rv1LjUIt8p1Qr63T3R0NLwVsoF3UVKJRStSKri47WYx83hG521UfuXNx99tRL4JxfYJpHO2Sln9WQ6zj2XFey3vs8HPKu9lfwqkc7ZKWYPlXmuJ+2xsNaDDNTplpcOxdS5y1n2DqH1LYcvVI2htmceAtf+Fbe1/gZjqQOuR+hFljfsCYRGWvU6oeCW1jy/txcCbiIiIiIioLKLjgHZX4lRiXyTGx8C2Y6FemG3bAiD3rN7n7Alg7ac6xVRTPeFoM04H4eGRrPcQwcCbiIiIiIiovKKqAO2u0Cn7NLBtPiDD0eXnuUy9z9mTwLrPdJKF3GQ4eqvROBvdEg6HzCFmMwQrBt5ERERERERGiqoMtLtcp5wzwPb8nvCt84BzZ/Q+WaeA9Z8jbP3nqOGMxQxnV5xsNBw9h1yN1vUT2B5BhoE3ERERERGRWSIr6Wd+Szp3VgXh+5d/iar7FqGyTc8Jj7NlYpxtCbB3CTI+eAb76g9G/d7XAk0HARHeL+BF1sXAm4iIiIiIyB8iYrA5vh9G7rAjwnkV+tr/wGVhKzHYvhZVbHpOuPyssn8G8NUMILIK0HK4DtqbDVZ/T4GJgTcREREREZGffLR8p1olO9sZiQWOripFIQd97BtwadhKDLGvQVx+EI6cDGDDtzpFVgZaDMsPwocAkbFsswDCwJuIiIiIiMgPZAG16esPIc/hLLQ9G5FY6OiiUiTOoZd9I0aFr8S42N9hy0rTO+WcBjZ+r1NEJaDFUB2ENx+qh7OTpTHwJiIiIiIi8oOs3Dzk5DlK3ScHEVjs6ITFOZ1w6cMDEbN/mV6YLWWmXpBNyAJtm6boFBELNB+inxMuQbgs7EaWw8A7n8PhUMnzd6fTWWibmcw8ntF5G5VfefPxdxuRb0KxfQLpnK1SVn+Ww+xjWfFey/ts8LPKe9mfAumcrVLWYLnXWvE+62s+kXYbIsPsFwy+1b5hdkRGRsIhC6xJGvEasGsJbMnTVRBuk+eDC3lUmTy2bPM0OMNj1FxwZ5vRQPNh+hFnZFr7+nLthGzgPXnyZJXy8vLU76mpqcjK0qsKuioxLS1NVbLdDw/UM/N4RudtVH7lzcffbUS+CcX2CaRztkpZ/VkOs49lxXst77PBzyrvZX8KpHO2SlmD5V5rxftsWfIZ0qIq5qacQF7h0eaFhNmAIS2rqRilkLiLgO4XAV0fQOShVYjeMRfRu+bDnnVSvWzLPQukzIAtZQacYVHIrt8HWU2HI7vhADhljjgZ2r4ZGRle5xOygffEiRNVSk9PR3x8PBISEhAXF1eogmXRA9nur8DbrOMZnbdR+ZU3H3+3EfkmFNsnkM7ZKmX1ZznMPpYV77W8zwY/q7yX/SmQztkqZQ2We60V77NlyeeOwdGYk7K81H0kJr9jUCskJrrjk/PUqQt0Hgs4cuHYswK2zXo4uu2MDtZtedmI3r1QJQnC0XQgnDInvMVwIDre9xMNUY5S2jc62vtHvYVs4F2UVGLRipQKLm67Wcw8ntF5G5VfefPxdxuRb0KxfQLpnK1SVn+Ww+xjWfFey/ts8LPKe9mfAumcrVLWYLnXWvE+62s+betWxevjO+Lur9erv/NcaC3MblM9q/K67OcVeyTQtL9OI14F9qwAJAjfPB04c1SXLy8b2DoHtq1zgDDZf6CeE97yUiDGy+OEMFsJ7evLdcPAm4iIiIiIyI/GdKyL5olV8PHyXZi2/qCa8y1zusd0TMKEXo3RJqmUnu7S2MOAxn10uvRlYO+v7iD89GG9T14OsHWuTvYIoOkAHYS3ugyIqWboeZIbA28iIiIiIiI/k+B60lUd8MK4dth36DAaJNVGWFiYcQeQILxRL52GvwTsW5kfhE8DMg7pfRzngG3zdZoRDjTprx9R1mokEFvduLIQA28iIiIiIqKKYrfbEBMRpoYzm3gQoGFPnYa9AOz/rWAldKQf0Ps4coHtC3WaeTfQuG9+T/hIoFIN88oWItjjTUREREREFCokCG/QQ6ehzwEHVruD8LR97iB8x486qSC8jw7CW48CKtWs6DMISAy8iYiIiIiIQjUIr3+xTkOfBQ6s0cPRN0kQvlfv48wDdv6k06x7gEa93UF45cSKPoOAwcCbiIiIiIgo1MlQ93pddRryDHBwre4F3zQVOLVH7+N0ALuW6DT7PqBhLz0nvPVooEqtij4DS2PgTURERERERIWD8LpddBr8T+DQencQfnKXOwjfvVSn2fcDDS/RPeFtJAivzdosgoE3ERERERERlRyEJ3XSadCTwOE/3EH4iR35OzmBPct1mvOAnj/uCsLjklizDLyJiIiIiIjI6yC8TgedBj4OHNnoDsKPb3MH4Xt/0Wnug0D97u4gPL5eyFY0e7yJiIiIiIjI9yC89kU6DXgUOLrZHYQf2+LeT54fvm8lMO9hoF43dxBetUFI1TgD73wOh0Mlz9+dTmehbWYy83hG521UfuXNx99tRL4JxfYJpHO2Sln9WQ6zj2XFey3vs8HPKu9lfwqkc7ZKWYPlXmvF+6wR+VjlOim3hNZAP0kPAUeTgeTpsG2eCltqinuf/at0mv8onEld4JSF2SRZOAgvrX18abOQDbwnT56sUl5envo9NTUVWVlZhSoxLS1NVbJdltk3mZnHMzpvo/Irbz7+biPyTSi2TyCds1XK6s9ymH0sK95reZ8NflZ5L/tTIJ2zVcoaLPdaK95njcjHKteJsWoArSeoFHZyB6J3zkX0jrmIOLG1YA/bwTUqYeETOJfQDllNhiOr6XDkxdWHlZTWPhkZGV7nE7KB98SJE1VKT09HfHw8EhISEBcXV6iCbTab2u6vwNus4xmdt1H5lTcff7cR+SYU2yeQztkqZfVnOcw+lhXvtbzPBj+rvJf9KZDO2SplDZZ7rRXvs0bkY5XrxDSJiUDLngD+CcexbUDyNNg2T4NN5ofni0jdqFKVla/AWacDnPJ4MhmSXr0JKlpp7RMdHe11PiEbeBcllVi0IqWCi9tuFjOPZ3TeRuVX3nz83Ubkm1Bsn0A6Z6uU1Z/lMPtYVrzX8j4b/KzyXvanQDpnq5Q1WO61VrzPGpGPVa4T0yW2BBIfAPo9ABzfAWyequeEy0rp+WyHflcJPz4D1G4P3DwfiIip0GKX1D6+tBcDbyIiIiIiIvKvGk2BPvfqdGKne2E2eWa4S1hkhQfdRmHgTURERERERBWnehOg9906ndztDsLbjg2aVmHgTURERERERNZQrRHQ6+86OZ0IFkE+iYCIiIiIiIgC9lnhQYKBNxEREREREZGJGHgTERERERERmYiBNxEREREREZGJGHgTERERERERmYiBNxEREREREZGJGHgTERERERERmYiBNxEREREREZGJws3MPJA4HA6VPH93Op2Ftpl9fLOOZ3TeRuVX3nz83Ubkm1Bsn0A6Z6uU1Z/lMPtYVrzX8j4b/KzyXvanQDpnq5Q1WO61VrzPGpGPVa4T8r19fGmzkA28J0+erFJeXp76PTU1FVlZWYUqMS0tTVWy3W7+wAAzj2d03kblV958/N1G5JtQbJ9AOmerlNWf5TD7WFa81/I+G/ys8l72p0A6Z6uUNVjutVa8zxqRj1WuE/K9fTIyMuCtkA28J06cqJJUYtWqVREVFYXo6OhCFXz69Gm1zV+Bt1nHMzpvo/Irbz7+biPyTSi2TyCds1XK6s9ymH0sK95reZ8NflZ5L/tTIJ2zVcoaLPdaK95njcjHKtcJ+d4+OTk56qcE5RcSsoF30W8pGjZsWNFFISIiIiIiogCMKePj40vdx+b0JjwP8m8wDh48iCpVqsBmsxV6rVu3bli1apXfymLm8YzO26j8ypNPeno66tevj3379iEuLq7cZSHj+fs9ZAWBdM5WKas/y2H2sax4r+V9NvhZ5b3sT4F0zlYpa7Dca614ny1vPvxMa30lta+E0hJ0JyUlXXC0Qsj3eEsF1atXr9jKCQsL82tAZ+bxjM7bqPyMyEf+noG3Nfn7PWQFgXTOVimrP8th9rGseK/lfTb4WeW97E+BdM5WKWuw3GuteJ81Kh9+prWu0tr3Qj3dLpxEUAqZAx4sxzM6b6Py83cdk3+FYvsG0jlbpaz+LIfZx7LivdYq7UzmCcU2DqRztkpZg+Vea8X7rJH5kDUZ0b4hP9ScApcMy5FvmGSBPCt8k0xEFGx4nyUi4r2WjMEebwpYshL9k08+qX4SERHvs0REgYifaUMDe7yJiIiIiIiITMQebyIiIiIiIiITMfAmIiIiIiIiMhEDbwopJ06cwP79+yu6GEREREREFEIYeFNIrc47dOhQjB07tqKLQkQUdHJycvDAAw+gWrVqSEpKwr/+9a+KLhIRUdD5/fff0bdvX0RHR6Nbt25Yv359RReJvMTAm0LGvffeqxIRERlv7dq1aNiwIfbu3YsFCxbgkUcewfHjx1nVREQG+uqrr/DCCy/g1KlTGDlyJD/bBpDwii4AkZBv61auXInevXujbdu251XKuXPnsGjRIhw+fBjt2rVD165dC15zOBzYuXNnsRXZoEEDREZG4sMPP0T//v3RunVrVjgRhayUlBTs3r1b3WsrV6583uu5ublYt24dsrOz0blzZ8TGxha85nQ6kZeXd97f2Gw2hIWFoUePHirJ/Vr2i4+PVz0yREShRO6Vv/76K7KysjBgwIASR2HKZ1+5D3fs2BF2u73Q51pJRck+kiTodunSpQs2bdpk0pmQ0Rh4U4X3kNx55504ffo0tmzZgldfffW8wFt6TAYOHIizZ8+qm9M999yDyy+/HB988IF6/cyZMxg+fHix+c+YMUN9KJTel2effRbJycnqA+W+fftQv359v5wjEVFFk3vgc889h61bt+LQoUPYsGGD+hLTk9yDL7vsMhV8V6lSBQcPHlQ9KzJFR0yZMgVXX331eXnXrFlTfSkq5AvUSy65RP379ddfR6VKlfxyfkREVvDWW2/hnXfeUYG1cN0bPX377be4+eab0aRJExw9ehTVq1fHnDlzCj6X3n333Zg8efJ5f3fFFVfg66+/Lvh9z549eP755/H555+bek5kHD7HmyrUqlWrVO+IfFCrWrWqCo4lEPd02223YcmSJWpf+RAn3xDKN3w//PADxowZc8FjyDzD1157rWAOotzkJJCfPXu2aedFRGQlH330kfqQJ/fZTp06FRt4y321bt26mDp1qupVefjhh/Hee+9h165diIuL8+l40qt+6aWX4ssvv1RfmBIRhYJnnnkG11xzDaZNm4ZXXnnlvMBbvtBs1qyZCpj/8Y9/qM+l8plUvuyU4Ntbf/zxB+644w7897//RdOmTU04EzID53hThZJFIVy9IyUN15Fv9/7yl78U9JzIh7g+ffqonhhvyI1p+/btKk2fPl192GTQTUSh5KabblLTbUqyceNGNQJJFkdzDXm87777VK+NjBzyxscff4yZM2ciIyMDmZmZ6gOlfLFKRBQqHn/8cTRv3rzE17/55htERESoz6ZCpkPKSM558+ap0UjejmD6v//7P3zxxRdqXY3ipgCRNTHwJkuTbwZl8Yg2bdoU2i6/l2VOS1RUFIeYExEV4VoVV3rDXWrUqKHWyZAVdL0xevRofPbZZ+oeK/+W0Uvy5SoREbnvtfIZVgJuF7nvSkeTjETyhkwbki9KZRSTrKNR3NpIZE2c402W5pojI8MjPcnjalyv+UIWV5N5ikRE5CZfcMoHwaJzsiX4PnnypFdVJft6OxKJiChU77Uyp7vovVN4e6/96aefTCkbmY893mRpMTEx6qcMXfQkQbfnartERFR2EnS7ViP3JEPGPXtmiIiofPdaWSy46H3W9RoFNwbeZGn16tVTw2hkcR9P8rssTkFEROXXqFEjNdRx//79BdvkcTYy3UdeIyIiY+618mQdT677Lu+1wY+BN1laeHi4eryNDF+UD4VCVoiUZ3rLHEIiIiq/Xr16qefJyormLosXL1ZDH4cNG8YqJiIygDz+Vhb79Vyn6Pvvv0ft2rXRoUMH1nGQ4xxvqlCpqanqhiNkBdxly5apYFsejTBkyBC1/YUXXkDPnj0xatQotQK6LN7TuXNn3HjjjWw9IiIvH++VkpKCnTt3qt+XL1+uellkkR9ZQE3mdj/99NPqEWLyHO/4+Hg89dRTuOGGG9C+fXvWMRGRF9asWaM+227ZskV9rp07d67aLk/jkfusPDpMOpQuv/xydb+V+7A8dkwe+eh6ogQFLz7HmyrU3r171bMMi5LA+tZbby34XYY7yrMKpbdbHgcmHwZlhXIiIrow+YLz/fffP2/7xIkT1ZeaLrL45Lfffovs7GwMHjxY3YfDwsJYxUREXnjsscewevXq87Z/8MEHavqkkPvr5MmTsXTpUjXS6M9//jNHFoUIBt5EREREREREJuKYBiIiIiIiIiITMfAmIiIiIiIiMhEDbyIiIiIiIiITMfAmIiIiIiIiMhEDbyIiIiIiIiITMfAmIiIiIiIiYuBNREREREREFJjCK7oAREREVjJjxgy0bdsWTZo0QTCqyPOzUt1+8803cDgciIqKwrhx4y64/9y5c3Hq1Cn178svvxyRkZF+KCUREQULDjUnIiLy8Le//Q0//vijT3Uyffp07Nq1y3L1WFy5ynJ+gXZsb/zpT3/Cf/7zH8yZM8er/RctWoRPPvkE1157LdLT000vHxERBRcG3kRERB5GjRqFpk2b+lQnd9xxB37++WfL1WNx5SrL+QXasb310EMP4b333vNq30mTJuHFF180vUxERBScONSciIjIw9ChQ9GwYcOC36dMmYIuXbqoIcnr169H5cqV0aNHD4SFhanX582bh7Nnz2LlypWIjo5W26+66ir1Wk5ODn799VekpaWhTZs2xQadhw8fVn+blJSEDh06qB5h2a958+aFjm+z2bB27Vo0aNAAnTp1wsKFC3Hs2DG1vU6dOmpblSpVCvItqVxFz09kZGRgxYoVyM7ORvfu3VGrVq1Cr1+oDory9tiufCMiIvD777+jUqVK6NWrF+x2O/bs2aOOVb9+fXTu3Pm8Y3hTt2Uhdbx//35V/61btzYkTyIiIgbeRERERYZDP/bYYwXzkG+55RZ07doV27ZtUwHemjVr0KxZMyxevFgFlPJTgkwJ2E6ePKnm/kqQKUHj2LFjUb16ddStW1cFiVdccYUa3uwZeMqQ544dO6rg8/Tp0zhy5AgefvjhgsBbji/B6ZYtW1RwLfOR5af0JkuZnE4ndu7cib179+L7779H79691d+VVK6i5ydDqK+88koVuEpA/dtvv+G1117DbbfdVlDOC9VBUd4eW/KV4PbAgQNq7vfy5cvVufbv3x8ff/wxWrVqhaVLl2LChAl44403CvL3pm59JV86XHrppdi+fbsK9Hfs2KHaQOpUvtwgIiIqFycREREVaNiwofP9998v+L1GjRrOiy++2HnmzBn1+5EjR5yVKlVy/vDDDwX71K1b1/nxxx8X/J6Tk+Ns1KiR8/XXXy/YdvToUWedOnWcX375pfo9MzPTWbt2beeTTz5ZsI/sL/9rfvvttwsdv127ds709PRSW+m5555T+3kqWq6i53f27Fln/fr1nffdd1/B65988okzKirKuXPnTp/qoKgLHduVb48ePVQ5xKpVq9T59+3b15mdna22LV682Gm3252HDh3yum69ERYW5pwzZ07B7zNnznRWq1bNefr06YJtU6dOdebl5RX8vm7dOlW+1NRUr49DREQkOMebiIjoAm688UbExsaqfycmJqpeWumBLon0+MpQadn3u+++w7fffqu2Sa+y/BTLli1Tvdv33ntvoXnRruN4kh5fz2HkLtLLLcO6v/76a9VjvnHjRmRmZnrdntLDvG/fPtXD7nLDDTeocktvfHnqwFtyPBmOLqS3W3rH//KXvxSsGt6zZ0+1+rj0RHtbt2URExOjer09z2nMmDFq2DsREVF5cag5ERHRBciQZk8y1zkrK6vE/Xfv3q0CR1nZ25MMi27RooX6twS8NWrUKBRQy9/IXO+iZA53UTJsW4Zjd+vWDTVr1lRDu0Vqaup5c7hLIgFs1apVC52fDKuWoeDyWnnqwFvVqlUrdGz5AsFzmxxHuI7lTd2WxcCBA3HXXXepnzLHfdCgQbj11lvVNAAiIqLyYuBNRERksLi4OLX41wcffKDmTRdHAll5LJX05nr2qsqc6KKKzjGWudOTJ09Wc65di4rJPOdZs2apOd/ekoBdFlbLzc1FeLj7I8GJEyfUa4Fat2X1wgsv4Omnn1Zz2L/44gtcfPHFWLdunZp/TkREVB4cP0VERFROEgB69v7K4mDSK1v0UVV5eXlqeLmQnmoJkufOnVto6Pfx48cveDxZCV2GRnv2bMuw6wuVqygpgwTc06ZNK9iWkpKCTZs2FSzSVlYXOnZZeVO3ZSF1KnlIj7us2P7WW2+p0QgShBMREZUXe7yJiIjKSVb8/uijj9QcaAmIZQVvWYVbhoNLICuP6JJHVMkK2c8//zxGjhyphkbL0Obrr78eDz74oAqAJdiTgPVCq2jLvGfZ7+qrr1Z5yWO7ZK6zN+UqOoT9kUceUXPIpZwSaL766qtqxfABAwYYXidGqF279gXrtizkSw/p7ZYV3uWRbTJfXNpBhp4TERGVF3u8iYiIPIwaNarQM6Evv/zy8+ZMDx48GO3atSv4XQLm0aNHq0dzzZgxQ22Tx3HJo7lkSPmSJUvUNgmOPQPDl19+WQW6ycnJ6pncMm9ZAmrPed/FHV/mQMvQcnmk108//aQCRTnG+PHj1bOwSytX0fN74okn8Pnnn6s55/KYrieffFIt1ubJmzooyptjF5evBL716tUrtE3OSwJuF2/q1hvySDbXInLyOLIvv/wS586dU9ulbqU+XGWRkQmykB0REVFZ2GRp8zL9JREREZWLzKX2XLRMAj15RveGDRtKDWqp/K677jo1tFzmjBcdtl6c+++/X305Id5///1iV5knIiIqCQNvIiKiCvKf//wHP/74o+o9lh5v6SWWoc2ysBcREREFDwbeREREFUiGOstw7LCwMPTq1UvN2yYiIqLgwsCbiIiIiIiIyERcXI2IiIiIiIjIRAy8iYiIiIiIiEzEwJuIiIiIiIjIRAy8iYiIiIiIiEzEwJuIiIiIiIjIRAy8iYiIiIiIiEzEwJuIiIiIiIjIRAy8iYiIiIiIiEzEwJuIiIiIiIgI5vl/jFY0v28piM0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "after 1 s: σ_T = 85 mK; after 1 h: 1.41 mK\n"
     ]
    }
   ],
   "source": [
    "fs = 2e6\n",
    "ts = np.array([1e-4, 3e-4, 1e-3, 3e-3, 1e-2])\n",
    "meas = []\n",
    "for t in ts:\n",
    "    n = int(fs * t)\n",
    "    x = (rng.standard_normal((300, n)) + 1j * rng.standard_normal((300, n))) * np.sqrt(TSYS / 2)\n",
    "    meas.append(np.std(np.mean(np.abs(x) ** 2, axis=1)))\n",
    "fig, ax = plt.subplots(figsize=(10, 4))\n",
    "ax.loglog(ts, meas, \"o\", ms=7, label=\"simulated (300 measurements each)\")\n",
    "tt = np.logspace(-4.2, -1.8, 50)\n",
    "ax.loglog(tt, radiometer_sigma_k(TSYS, fs, tt), lw=2, label=r\"$T_{sys}/\\sqrt{Bt}$\")\n",
    "ax.set(xlabel=\"integration time  [s]\", ylabel=r\"$\\sigma_T$  [K]\", title=f\"radiometer equation, T_sys = {TSYS:.0f} K, B = 2 MHz\")\n",
    "ax.grid(alpha=0.3, which=\"both\"); ax.legend(); fig.tight_layout(); plt.show()\n",
    "print(f\"after 1 s: σ_T = {radiometer_sigma_k(TSYS, B, 1.0) * 1e3:.0f} mK; after 1 h: {radiometer_sigma_k(TSYS, B, 3600) * 1e3:.2f} mK\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7018531d",
   "metadata": {},
   "source": [
    "## 2. SEFD and antenna temperature\n",
    "\n",
    "The **system equivalent flux density** is the flux density of a source that would double the system temperature:\n",
    "\n",
    "$$\\mathrm{SEFD} = \\frac{2k\\,T_\\mathrm{sys}}{A_\\mathrm{eff}} .$$\n",
    "\n",
    "It combines receiver and antenna in one number; the smaller, the better. With the B210 profile ($T_\\mathrm{sys}$ = 120 K):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0c824545",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:49.112966Z",
     "iopub.status.busy": "2026-11-01T11:15:49.112656Z",
     "iopub.status.idle": "2026-11-01T11:15:49.121274Z",
     "shell.execute_reply": "2026-11-01T11:15:49.119466Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "antenna       A_eff [m2]  SEFD [kJy]   T_A Sun (quiet, 21 cm) [K]   T_A Cas A [K]   T_A Cyg A [K]   T_A OH maser M1 [K]\n",
      "horn 15 dBi        0.112        2956                         19.3          0.0664          0.0632               0.00284\n",
      "Yagi               0.112        2956                         19.3          0.0664          0.0632               0.00284\n",
      "dish 3 m           4.241          78                          731            2.51            2.39                 0.108\n"
     ]
    }
   ],
   "source": [
    "srcs = {\"Sun (quiet, 21 cm)\": 476_200, \"Cas A\": SkyModel.from_json(CFG / \"skies\" / \"cas_a.json\").total_flux_jy,\n",
    "        \"Cyg A\": SkyModel.from_json(CFG / \"skies\" / \"cyg_a.json\").total_flux_jy, \"OH maser M1\": 70.0}\n",
    "print(f\"{'antenna':<13s} {'A_eff [m2]':>10s} {'SEFD [kJy]':>11s}   \" + \"   \".join(f\"T_A {k} [K]\" for k in srcs))\n",
    "for name, a in ants.items():\n",
    "    ae = a.effective_area(HI_21CM)\n",
    "    sefd = b210.sefd_jy(a, HI_21CM)\n",
    "    print(f\"{name:<13s} {ae:10.3f} {sefd / 1e3:11.0f}   \" + \"   \".join(f\"{antenna_temperature_k(s, ae):>{len(k) + 8}.3g}\" for k, s in srcs.items()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41b5b80f",
   "metadata": {},
   "source": [
    "For all targets except the Sun, $T_A \\ll T_\\mathrm{sys}$: radio astronomy measures tiny excesses over the receiver noise. An interferometer helps here not by more area but by **correlation**: the receiver noises of two stations are independent and average out, only the common sky signal survives.\n",
    "\n",
    "## 3. The noise of a visibility\n",
    "\n",
    "Correlating two stations over $N = Bt$ complex samples gives a visibility whose real and imaginary parts each scatter by\n",
    "\n",
    "$$\\sigma_V = \\sqrt{\\frac{(\\mathrm{SEFD}_1 + S_1)(\\mathrm{SEFD}_2 + S_2)}{2\\,B\\,t}}\\;\\frac{1}{\\eta_Q},$$\n",
    "\n",
    "$S_k$ the source power received by station $k$ (negligible except for the Sun), $\\eta_Q$ the quantisation efficiency (notebook C). Checked with two simulated station streams (receiver noise of SEFD power each, a common source of 5 % of it), correlated over $t$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1beb06d6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:49.124001Z",
     "iopub.status.busy": "2026-11-01T11:15:49.123708Z",
     "iopub.status.idle": "2026-11-01T11:15:50.054880Z",
     "shell.execute_reply": "2026-11-01T11:15:50.053414Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " t [ms]  sigma simulated [Jy]  formula [Jy]  mean Re V [Jy] (true 3906 Jy)\n",
      "    0.5                  1785          1834            3734\n",
      "    2.0                   926           917            3998\n",
      "    8.0                   468           459            3907\n"
     ]
    }
   ],
   "source": [
    "sefd = b210.sefd_jy(dish, HI_21CM)\n",
    "S = 0.05 * sefd\n",
    "fs = 2e6\n",
    "print(f\"{'t [ms]':>7s} {'sigma simulated [Jy]':>21s} {'formula [Jy]':>13s} {'mean Re V [Jy]':>15s} (true {S:.0f} Jy)\")\n",
    "for t in (0.5e-3, 2e-3, 8e-3):\n",
    "    n = int(fs * t)\n",
    "    vis = []\n",
    "    for _ in range(400):\n",
    "        s = (rng.standard_normal(n) + 1j * rng.standard_normal(n)) * np.sqrt(S / 2)\n",
    "        a = s + (rng.standard_normal(n) + 1j * rng.standard_normal(n)) * np.sqrt(sefd / 2)\n",
    "        b = s + (rng.standard_normal(n) + 1j * rng.standard_normal(n)) * np.sqrt(sefd / 2)\n",
    "        vis.append(np.mean(a * np.conj(b)))\n",
    "    vis = np.array(vis)\n",
    "    print(f\"{t * 1e3:7.1f} {np.std(vis.real):21.0f} {float(visibility_sigma_jy(sefd, sefd, fs, t, S, S)):13.0f} {np.mean(vis.real):15.0f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16f1a68f",
   "metadata": {},
   "source": [
    "## 4. S/N against integration time, bandwidth and baseline length\n",
    "\n",
    "For a visibility of amplitude $|V|$ the vector average reaches $\\mathrm{S/N} = |V|/\\sigma_V$ after\n",
    "\n",
    "$$t = \\frac{(\\mathrm{S/N})^2\\,\\mathrm{SEFD}_1\\,\\mathrm{SEFD}_2}{2\\,B\\,|V|^2\\,\\eta_Q^2} .$$\n",
    "\n",
    "The decisive quantity is $|V|$ **at the baseline used**, not the total flux: a resolved source has lost most of its correlated flux. For the 11.5 km baseline the median $|V|$ over a 16 h track (from the sky models) enters, for the Sun the horns at 10 m (with the source term, because the Sun raises the system temperature)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d2481ac0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:50.057536Z",
     "iopub.status.busy": "2026-11-01T11:15:50.057302Z",
     "iopub.status.idle": "2026-11-01T11:15:51.152272Z",
     "shell.execute_reply": "2026-11-01T11:15:51.150921Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "target                         S total [Jy]  |V| [Jy]  SEFD [kJy]  t for S/N 10 (2 MHz, 12 bit)     2 bit\n",
      "OH masers M1-M3, 3 m dishes             135      72.8          78                        28.8 s    37.1 s\n",
      "Cyg A, 3 m dishes                      1556      29.9          78                       170.9 s   220.1 s\n",
      "Cas A, 3 m dishes                      1636       1.3          78                        26.3 h    33.9 h\n",
      "Sun, two horns 10 m                  476200  351658.3        2956                       2.38 ms   3.07 ms\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def median_vis(sky_file, freq, arr):\n",
    "    sky = SkyModel.from_json(CFG / \"skies\" / sky_file)\n",
    "    o = Observation.from_sky(sky, arr, ha_range_h=(-8, 8), t_int_s=300, freq_hz=freq, date=DATE)\n",
    "    q = o.uvw()[0][o.visible()]\n",
    "    return sky, float(np.median(np.abs(sky.visibility(q[:, 0], q[:, 1]))))\n",
    "eta2 = quantization_efficiency(2)\n",
    "rows = []\n",
    "for label, f, fname, ant in ((\"OH masers M1-M3, 3 m dishes\", OH_1665, \"w3oh_masers.json\", dish),\n",
    "                             (\"Cyg A, 3 m dishes\", HI_21CM, \"cyg_a.json\", dish),\n",
    "                             (\"Cas A, 3 m dishes\", HI_21CM, \"cas_a.json\", dish)):\n",
    "    sky, v = median_vis(fname, f, target)\n",
    "    se = b210.sefd_jy(ant, f)\n",
    "    rows.append((label, sky.total_flux_jy, v, se, 0.0))\n",
    "horn = ants[\"horn 15 dBi\"]\n",
    "sun = SkyModel.from_json(CFG / \"skies\" / \"sun_21cm.json\")\n",
    "v_sun = abs(sun.components[0].visibility(np.array([10 / (C_LIGHT / HI_21CM)]), np.zeros(1))[0])\n",
    "rows.append((\"Sun, two horns 10 m\", sun.total_flux_jy, v_sun, b210.sefd_jy(horn, HI_21CM), sun.total_flux_jy))\n",
    "print(f\"{'target':<30s} {'S total [Jy]':>12s} {'|V| [Jy]':>9s} {'SEFD [kJy]':>11s} {'t for S/N 10 (2 MHz, 12 bit)':>29s} {'2 bit':>9s}\")\n",
    "for label, stot, v, se, s_src in rows:\n",
    "    t12 = float(integration_time_s(v, 10, se, se, B, 1.0, s_src, s_src))\n",
    "    t2 = float(integration_time_s(v, 10, se, se, B, eta2, s_src, s_src))\n",
    "    fmt = lambda t: f\"{t * 1e3:.2f} ms\" if t < 1 else (f\"{t:.1f} s\" if t < 600 else f\"{t / 3600:.1f} h\")\n",
    "    print(f\"{label:<30s} {stot:12.0f} {v:9.1f} {se / 1e3:11.0f} {fmt(t12):>29s} {fmt(t2):>9s}\")\n",
    "fig, axes = plt.subplots(1, 2, figsize=(16, 4.4))\n",
    "tt = np.logspace(-3, 5, 200)\n",
    "for (label, stot, v, se, s_src), col in zip(rows, (\"C0\", \"C1\", \"C2\", \"C3\")):\n",
    "    axes[0].loglog(tt, v / visibility_sigma_jy(se, se, B, tt, s_src, s_src), color=col, lw=2, label=label)\n",
    "axes[0].axhline(10, color=\"k\", ls=\":\", lw=1)\n",
    "axes[0].set(xlabel=\"integration time  [s]\", ylabel=\"S/N\", ylim=(0.1, 1e5), title=\"S/N against time (B = 2 MHz)\")\n",
    "bws = np.logspace(3, 7, 100)\n",
    "lab, stot, v, se, _ = rows[1]\n",
    "axes[1].loglog(bws / 1e6, integration_time_s(v, 10, se, se, bws), lw=2, color=\"C1\", label=f\"{lab}: t for S/N 10\")\n",
    "axes[1].axvline(2, color=\"k\", ls=\":\", lw=1); axes[1].annotate(\"B210 profile\", (2, 1e4), xytext=(4, 0), textcoords=\"offset points\")\n",
    "axes[1].set(xlabel=\"bandwidth  [MHz]\", ylabel=\"time  [s]\", title=\"continuum: time falls with 1/B (B210 max. 56 MHz)\")\n",
    "for ax in axes: ax.grid(alpha=0.3, which=\"both\"); ax.legend(fontsize=8.5); ax.title.set_fontsize(10)\n",
    "fig.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95d24475",
   "metadata": {},
   "source": [
    "Cas A, the brightest continuum source in the sky, has almost no correlated flux left at 54 kλ (a shell of 5′); Cygnus A keeps its hotspots. On the project baseline the masers and the Cyg A hotspots need seconds to minutes in 2 MHz – *if* the phase stays coherent over that time (section 5). For the Sun with horns the S/N is reached within milliseconds; there the source itself dominates the noise.\n",
    "\n",
    "## 5. Coherence: the clocks set the limit\n",
    "\n",
    "The averaging of section 4 is coherent: the visibility phase must stay constant. With two independent clocks it does not. For white frequency noise, $\\sigma_y(\\tau) = \\sigma_1/\\sqrt\\tau$ per clock, the phase difference performs a random walk,\n",
    "\n",
    "$$\\sigma_\\varphi(T) = 2\\pi f\\,\\sigma_1\\sqrt{2T},$$\n",
    "\n",
    "and a coherent average over $[0, T]$, with the phase referred to the middle of the interval (as a phase solution per segment does), keeps on average the fraction $4(1 - e^{-\\sigma^2/4})/\\sigma^2$ of the amplitude (`random_walk_coherence`, $\\sigma = \\sigma_\\varphi(T)$); for a fixed Gaussian scatter it would be $e^{-\\sigma^2/2}$ (`coherence_factor`). The **coherence time** is reached at $\\sigma_\\varphi$ = 1 rad. The values of $\\sigma_1$ below are illustrative short-term stabilities of oscillator classes, not data-sheet values of particular devices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d1875b5a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:51.155749Z",
     "iopub.status.busy": "2026-11-01T11:15:51.155467Z",
     "iopub.status.idle": "2026-11-01T11:15:53.092349Z",
     "shell.execute_reply": "2026-11-01T11:15:53.091713Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "clock                           sigma_y(1 s)   coherence time (1 rad, two clocks)\n",
      "TCXO (free running)                    1e-09                           0.00628 s\n",
      "OCXO                                   1e-11                              62.8 s\n",
      "GPSDO (short term = its OCXO)          1e-11                              62.8 s\n",
      "rubidium                               3e-12                               697 s\n",
      "hydrogen maser                         1e-13                          6.28e+05 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x430 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "maser group, one segment of 63 s: S/N 13.1; incoherent after 1 h: 49.3, ideal coherent after 1 h: 112\n"
     ]
    }
   ],
   "source": [
    "f0 = HI_21CM\n",
    "clocks = {\"TCXO (free running)\": 1e-9, \"OCXO\": 1e-11, \"GPSDO (short term = its OCXO)\": 1e-11, \"rubidium\": 3e-12, \"hydrogen maser\": 1e-13}\n",
    "print(f\"{'clock':<30s} {'sigma_y(1 s)':>13s} {'coherence time (1 rad, two clocks)':>36s}\")\n",
    "for name, s1 in clocks.items():\n",
    "    tc = coherence_time_s(f0, s1)\n",
    "    print(f\"{name:<30s} {s1:13.0e} {tc:33.3g} s\")\n",
    "# simulation: random-walk phase of two OCXO-class clocks, coherent average over T\n",
    "s1, dt = 1e-11, 0.05\n",
    "Ts = np.array([1, 3, 10, 30, 100, 300])\n",
    "sim = []\n",
    "for T in Ts:\n",
    "    n = int(T / dt)\n",
    "    steps = rng.standard_normal((500, n)) * 2 * np.pi * f0 * s1 * np.sqrt(2 * dt)\n",
    "    phi = np.cumsum(steps, axis=1)\n",
    "    z = np.mean(np.exp(1j * (phi - phi[:, [n // 2]])), axis=1)      # phase referred to the middle\n",
    "    sim.append((np.mean(z.real), np.mean(np.abs(z))))\n",
    "sim = np.array(sim)\n",
    "fig, axes = plt.subplots(1, 2, figsize=(16, 4.3))\n",
    "Tf = np.logspace(-0.2, 2.7, 200)\n",
    "sig = phase_rms_white_fm_rad(f0, s1, Tf)\n",
    "axes[0].semilogx(Ts, sim[:, 0], \"o\", ms=7, label=\"simulated, phase referred to the middle\")\n",
    "axes[0].semilogx(Ts, sim[:, 1], \"s\", ms=5, mfc=\"none\", label=\"simulated, magnitude (best phase)\")\n",
    "axes[0].semilogx(Tf, random_walk_coherence(sig), lw=2, label=\"random_walk_coherence\")\n",
    "axes[0].semilogx(Tf, coherence_factor(sig), \"--\", lw=1.5, label=r\"$e^{-\\sigma_\\varphi(T)^2/2}$\")\n",
    "axes[0].axvline(coherence_time_s(f0, s1), color=\"k\", ls=\":\", lw=1)\n",
    "axes[0].set(xlabel=\"coherent integration time T  [s]\", ylabel=\"amplitude kept\", title=f\"two clocks with σ_y(1 s) = {s1:.0e}, 1420 MHz\")\n",
    "axes[0].legend(fontsize=9)\n",
    "# coherent up to T_c, then incoherent\n",
    "lab, stot, v, se, _ = rows[0]\n",
    "t_tot = np.logspace(0, 5, 200)\n",
    "tc = coherence_time_s(f0, s1)\n",
    "snr_coh = v / visibility_sigma_jy(se, se, B, t_tot) * random_walk_coherence(phase_rms_white_fm_rad(f0, s1, t_tot))\n",
    "seg = v / visibility_sigma_jy(se, se, B, tc) * float(random_walk_coherence(1.0))\n",
    "snr_inc = np.where(t_tot > tc, incoherent_snr(seg, t_tot / tc), np.nan)\n",
    "axes[1].loglog(t_tot, v / visibility_sigma_jy(se, se, B, t_tot), \"k:\", label=\"ideal coherent (perfect clocks)\")\n",
    "axes[1].loglog(t_tot, snr_coh, lw=2, label=\"coherent with the clock noise\")\n",
    "axes[1].loglog(t_tot, snr_inc, lw=2, label=f\"segments of T_c = {tc:.0f} s, |V|² averaged\")\n",
    "axes[1].set(xlabel=\"total time  [s]\", ylabel=\"S/N\", ylim=(0.3, 300), title=f\"{lab}: coherent and incoherent averaging\")\n",
    "axes[1].legend(fontsize=8.5)\n",
    "for ax in axes: ax.grid(alpha=0.3, which=\"both\"); ax.title.set_fontsize(10)\n",
    "fig.tight_layout(); plt.show()\n",
    "print(f\"maser group, one segment of {tc:.0f} s: S/N {seg:.1f}; incoherent after 1 h: {float(incoherent_snr(seg, 3600 / tc)):.1f}, \"\n",
    "      f\"ideal coherent after 1 h: {float(v / visibility_sigma_jy(se, se, B, 3600)):.0f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d03143a9",
   "metadata": {},
   "source": [
    "Beyond the coherence time the coherent S/N stops growing and falls again. Averaging the power $|V|^2$ of coherent segments still detects the source: with $n$ segments of S/N $s$ each, $\\mathrm{S/N} = s^2\\sqrt{n}/(2\\sqrt{1+s^2})$ (`incoherent_snr`) – always below the coherent $s\\sqrt{n}$, by a factor $s/2$ for weak segments – and the phase, the information needed for imaging, is lost. Hence the GPSDO: it keeps the frequencies on average together, but over seconds to minutes the short-term stability of its oscillator decides. Over the night, a fringe-rate solution per segment (notebook 05) removes the slow drift.\n",
    "\n",
    "## 6. Image noise and the number of baselines\n",
    "\n",
    "A naturally weighted image from $N_\\mathrm{bl}$ equal baselines averages all visibilities; its noise is $\\sigma_V/\\sqrt{N_\\mathrm{bl}}$ for the same time and bandwidth. With $N$ stations $N_\\mathrm{bl} = N(N-1)/2$: three stations already triple the number of baselines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "91e613e5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:53.095233Z",
     "iopub.status.busy": "2026-11-01T11:15:53.095010Z",
     "iopub.status.idle": "2026-11-01T11:15:53.100924Z",
     "shell.execute_reply": "2026-11-01T11:15:53.099661Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "stations  baselines  image noise, 8 h, 2 MHz, 3 m dishes  with 2-bit data\n",
      "       2          1                           230.2 mJy        261.2 mJy\n",
      "       3          3                           132.9 mJy        150.8 mJy\n",
      "       4          6                            94.0 mJy        106.6 mJy\n",
      "       6         15                            59.4 mJy         67.5 mJy\n",
      "(notebook 06 measured 0.15 Jy/beam for 16 h of one-minute integrations of the project baseline at 1665 MHz, where the formula gives 0.163 Jy for B = 2 MHz)\n"
     ]
    }
   ],
   "source": [
    "print(f\"{'stations':>8s} {'baselines':>10s} {'image noise, 8 h, 2 MHz, 3 m dishes':>36s} {'with 2-bit data':>16s}\")\n",
    "for n_st in (2, 3, 4, 6):\n",
    "    nbl = n_st * (n_st - 1) // 2\n",
    "    s12 = image_noise_jy(sefd, B, 8 * 3600, nbl)\n",
    "    s2 = image_noise_jy(sefd, B, 8 * 3600, nbl, eta2)\n",
    "    print(f\"{n_st:8d} {nbl:10d} {s12 * 1e3:31.1f} mJy {s2 * 1e3:12.1f} mJy\")\n",
    "print(\"(notebook 06 measured 0.15 Jy/beam for 16 h of one-minute integrations of the project baseline at 1665 MHz,\"\n",
    "      f\" where the formula gives {image_noise_jy(b210.sefd_jy(dish, OH_1665), B, 16 * 3600, 1):.3f} Jy for B = 2 MHz)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa85fa00",
   "metadata": {},
   "source": [
    "## 7. Summary\n",
    "\n",
    "| quantity | formula | project values (B210, 3 m dishes, 2 MHz) |\n",
    "|---|---|---|\n",
    "| radiometer noise | $T_\\mathrm{sys}/\\sqrt{Bt}$ | 85 mK in 1 s |\n",
    "| SEFD | $2kT_\\mathrm{sys}/A_\\mathrm{eff}$ | 78 kJy (dish), 3 MJy (horn) |\n",
    "| visibility noise | $\\sqrt{\\mathrm{SEFD}_1\\mathrm{SEFD}_2/2Bt}/\\eta_Q$ | 39 Jy in 1 s |\n",
    "| time for S/N | $(\\mathrm{S/N})^2\\,\\mathrm{SEFD}^2/(2B|V|^2\\eta_Q^2)$ | masers and Cyg A on 11.5 km: seconds to minutes |\n",
    "| coherence | $\\sigma_\\varphi = 2\\pi f\\sigma_1\\sqrt{2T}$ | OCXO class: about a minute at 1420 MHz |\n",
    "| image noise | $\\sigma_V/\\sqrt{N_\\mathrm{bl}}$ | 0.23 Jy → mJy range with hours and more stations |\n",
    "\n",
    "## 8. Selector\n",
    "\n",
    "Antenna, source flux density at the baseline, bandwidth, number of bits, clock class and total time; *Run Interact* shows the S/N with ideal and with real clocks. (Needs a running kernel.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "df7f9c3b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T11:15:53.103042Z",
     "iopub.status.busy": "2026-11-01T11:15:53.102806Z",
     "iopub.status.idle": "2026-11-01T11:15:53.185933Z",
     "shell.execute_reply": "2026-11-01T11:15:53.185295Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "093cf586070b4ddd91e5efe6cd18fdaa",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='antenna', index=2, options=('horn 15 dBi', 'Yagi', 'dish 3 m'), va…"
      ]
     },
     "metadata": {},
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    "import ipywidgets as widgets\n",
    "from IPython.display import display\n",
    "\n",
    "def run_sens(antenna, v_jy, bandwidth_mhz, bits, clock, t_total_h):\n",
    "    a = ants[antenna]\n",
    "    se = b210.sefd_jy(a, HI_21CM)\n",
    "    bw = bandwidth_mhz * 1e6\n",
    "    eta = quantization_efficiency(bits)\n",
    "    s1 = clocks[clock]\n",
    "    tc = coherence_time_s(HI_21CM, s1)\n",
    "    t = np.logspace(-2, np.log10(t_total_h * 3600), 300)\n",
    "    ideal = v_jy / visibility_sigma_jy(se, se, bw, t, eta_q=eta)\n",
    "    real = ideal * random_walk_coherence(phase_rms_white_fm_rad(HI_21CM, s1, t))\n",
    "    seg = v_jy / float(visibility_sigma_jy(se, se, bw, tc, eta_q=eta)) * float(random_walk_coherence(1.0))\n",
    "    inc = np.where(t > tc, incoherent_snr(seg, t / tc), np.nan)\n",
    "    fig, ax = plt.subplots(figsize=(11, 4.3))\n",
    "    ax.loglog(t, ideal, \"k:\", label=\"ideal coherent\"); ax.loglog(t, real, lw=2, label=\"coherent, real clocks\")\n",
    "    ax.loglog(t, inc, lw=2, label=f\"incoherent segments of {tc:.3g} s\")\n",
    "    ax.axhline(5, color=\"C3\", ls=\"--\", lw=1)\n",
    "    ax.set(xlabel=\"time  [s]\", ylabel=\"S/N\", title=f\"{antenna}, SEFD {se / 1e3:.0f} kJy, |V| = {v_jy} Jy, {bandwidth_mhz} MHz, {bits} bit, {clock}\")\n",
    "    ax.grid(alpha=0.3, which=\"both\"); ax.legend(fontsize=9); fig.tight_layout(); plt.show()\n",
    "    print(f\"t for S/N 5 (ideal): {float(integration_time_s(v_jy, 5, se, se, bw, eta)):.3g} s; coherence time {tc:.3g} s\")\n",
    "\n",
    "display(widgets.interactive(\n",
    "    run_sens, {\"manual\": True},\n",
    "    antenna=widgets.Dropdown(options=list(ants), value=\"dish 3 m\", description=\"antenna\"),\n",
    "    v_jy=widgets.FloatLogSlider(value=20, base=10, min=-1, max=5, description=\"|V| [Jy]\"),\n",
    "    bandwidth_mhz=widgets.FloatLogSlider(value=2, base=10, min=-2, max=1.75, description=\"B [MHz]\"),\n",
    "    bits=widgets.Dropdown(options=[1, 2, 3, 4, 8, 12], value=12, description=\"bits\"),\n",
    "    clock=widgets.Dropdown(options=list(clocks), value=\"GPSDO (short term = its OCXO)\", description=\"clock\"),\n",
    "    t_total_h=widgets.FloatLogSlider(value=1, base=10, min=-2, max=1.5, description=\"total [h]\"),\n",
    "))"
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