{ "cells": [ { "cell_type": "markdown", "id": "16ae3441", "metadata": {}, "source": [ "# 02 Components and parameters\n", "\n", "A `Simulation` is a `Telescope`, a `Sensor`, a `Scene` and a `Coronagraph`. This notebook builds each one, looks at what it holds, assembles them by hand, and changes parameters with `update()` and `reset()`. It also covers the two choices that most affect the numbers: the photometric aperture and the filter curve.\n", "\n", "> Requirements: an editable install (`pip install -e .`), as in notebook 01." ] }, { "cell_type": "code", "execution_count": 1, "id": "23915bb4", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:12.593524Z", "iopub.status.busy": "2026-10-13T04:03:12.593427Z", "iopub.status.idle": "2026-10-13T04:03:16.116782Z", "shell.execute_reply": "2026-10-13T04:03:16.116410Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import astropy.units as u\n", "import matplotlib.pyplot as plt\n", "from esc_etc import (Telescope, Sensor, get_scene, Coronagraph, Simulation,\n", " FILTERS, use_lazuli_style)\n", "use_lazuli_style()" ] }, { "cell_type": "markdown", "id": "37688139", "metadata": {}, "source": [ "## 1. Telescope\n", "\n", "The collecting area is the Lyot-stop area, which is smaller than the 3 m primary. `resel` is the solid angle of a disk of diameter lambda/D at the design wavelength; it is the default photometric aperture." ] }, { "cell_type": "code", "execution_count": 2, "id": "3ac62064", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:16.118671Z", "iopub.status.busy": "2026-10-13T04:03:16.118510Z", "iopub.status.idle": "2026-10-13T04:03:16.136082Z", "shell.execute_reply": "2026-10-13T04:03:16.135668Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "primary diameter : 3.0 m\n", "collecting area : 5.725552611167399 m2\n", "f-number : 36.7\n", "resel : 0.0014735970287905057 arcsec2\n" ] } ], "source": [ "t = Telescope.from_default()\n", "print('primary diameter :', t.diameter_primary)\n", "print('collecting area :', t.surface)\n", "print('f-number :', round(t.f_num, 1))\n", "print('resel :', t.resel)" ] }, { "cell_type": "markdown", "id": "8615b419", "metadata": {}, "source": [ "## 2. Sensor: detector and bandpass\n", "\n", "The sensor holds the detector noise properties and the full non-coronagraphic throughput curve (`bandpass`). `num_psf_pixels` is the photometric aperture in detector pixels and `ee_fraction` is the fraction of an unaberrated Airy pattern that lands inside it. Both follow from `aperture`:\n", "\n", "| `aperture` | what it is | pixels | encircled energy |\n", "|---|---|---|---|\n", "| `\"resel\"` (default) | disk of diameter lambda/D | 19.6 | 0.46 |\n", "| `\"optimal\"` | disk of radius 0.7 lambda/D | 38 | 0.68 |\n", "| `\"box\"` | square of side 2.44 lambda/D | 169 | 0.85 |\n", "| `\"matched\"` | PSF-weighted sum; the matched-filter limit, not what a pipeline delivers | 70 (effective) | 1.00 |\n", "\n", "The SNR barely moves between them for this scene because it is speckle limited, so the choice matters more for faint planets where read noise and background count. You can also override `encircled_energy` directly; it must be a fraction in (0, 1]." ] }, { "cell_type": "code", "execution_count": 3, "id": "abf93817", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:16.137683Z", "iopub.status.busy": "2026-10-13T04:03:16.137570Z", "iopub.status.idle": "2026-10-13T04:03:16.415672Z", "shell.execute_reply": "2026-10-13T04:03:16.415387Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gain : 0.9239970596457494 electron / ct\n", "read noise : 1.832077426554004 electron(1/2) / pix(1/2)\n", "dark current : 0.0026523364364736 electron / (pix s)\n", "well depth : 15260.992347242305 electron / pix\n", "aperture : resel | 19.595181216030333 pix | EE 0.456\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "s = Sensor.from_default(t)\n", "print('gain :', s.gain)\n", "print('read noise :', s.read_noise)\n", "print('dark current :', s.dark_current)\n", "print('well depth :', s.well_depth)\n", "print('aperture :', s.aperture, '|', s.num_psf_pixels, '| EE', round(s.ee_fraction, 3))\n", "assert np.isclose(s.num_psf_pixels.value * s.plate_scale**2, t.resel.value)\n", "\n", "fig, ax = s.plot_aperture()" ] }, { "cell_type": "markdown", "id": "bf304110", "metadata": {}, "source": [ "## 3. Filters\n", "\n", "`FILTERS` lists the ESC filter set. Passing `filter=` to `Simulation.from_default` uses that filter's measured curve as the whole bandpass and moves the telescope's design wavelength to match; `lifetime=\"eol\"` (the default) or `\"bol\"` selects the end-of-life or beginning-of-life curve. The default is `DEFAULT_FILTER` (`F630N`, end of life). `filter=None` is the legacy option: the generic configuration chain, which is wider and a little more transmissive than any real filter.\n", "\n", "When you build the components yourself, the telescope and the sensor must be built for the same filter. Mixing them raises a `ValueError`, because the pixel geometry would be computed at one wavelength and the throughput at another." ] }, { "cell_type": "code", "execution_count": 4, "id": "cc384a9d", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:16.417728Z", "iopub.status.busy": "2026-10-13T04:03:16.417606Z", "iopub.status.idle": "2026-10-13T04:03:17.130645Z", "shell.execute_reply": "2026-10-13T04:03:17.130337Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['B1', 'B2', 'B3', 'B4', 'B5', 'B6', 'F400N', 'F425N', 'F425W', 'F450N', 'F450W', 'F475N', 'F620N', 'F630N', 'F656N', 'F659W', 'F685N', 'F725.9N', 'R1', 'R2', 'R3', 'R4', 'R5', 'R6']\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mismatch refused: filter='B1' (4000 Angstrom) does not match the telescope built for 6300 Angstrom; pass the same filter= to Telescope\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(sorted(FILTERS))\n", "\n", "fig, ax = plt.subplots()\n", "Simulation.from_default(filter=None).plot_bandpass(ax=ax, label='generic chain (filter=None)')\n", "Simulation.from_default(filter='F630N', lifetime='eol').plot_bandpass(ax=ax, label='F630N end of life')\n", "Simulation.from_default(filter='F630N', lifetime='bol').plot_bandpass(ax=ax, label='F630N beginning of life')\n", "ax.set_xlim(610, 650);\n", "\n", "try:\n", " Sensor.from_default(Telescope.from_default(), filter='B1')\n", "except ValueError as err:\n", " print('mismatch refused:', err)" ] }, { "cell_type": "markdown", "id": "fe29a199", "metadata": {}, "source": [ "## 4. Scene and coronagraph\n", "\n", "`get_scene` builds the star, planet, zodi and exozodi elements. The star and planet magnitudes are Vega magnitudes in the ESC band by default; `hoststar_band=` and `mag_system=` change that. The coronagraph carries the raw dark-hole contrast, the post-processing gain and the planet separation." ] }, { "cell_type": "code", "execution_count": 5, "id": "0fb0d685", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:17.132327Z", "iopub.status.busy": "2026-10-13T04:03:17.132187Z", "iopub.status.idle": "2026-10-13T04:03:17.239886Z", "shell.execute_reply": "2026-10-13T04:03:17.239607Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "star mag : -0.353 vega\n", "planet dmag : 20\n", "contrast : 1e-08 | ppgain 10 | separation 0.2 arcsec\n" ] }, { "data": { "image/png": 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lWPFiqvn8QJ0qmPlXKWzCj4pbH8fVBQAAQEAhwPISaWlpio+Pd26Jib6zrlT9Jg104KZumfYVT03V+ldG6sypMx4rFwAAANwnOTlZv//+u5588kmtXr3a7y5tYmKisy1uflbTPncFAZaXSEhIUFRUlHOLiYmRL+lxXx+tqxmVaV9U0lF9P3ykx8oEAAAA9zh+/Ljeeecd3XHHHRo5cqQOHz7sd5c2JibG2RaPi4uz7XNXEGB5iYiICG3bts25DRo0SL6m+yvPaHfRopn2Ra9aq1mTpnqsTAAAAMi94sWL6/nnn9edd97pNZfzzJkzmjrVfe1M0/52tMVr165t2+euCHZbiZArBQsWVGRkpE9fxZLhJVX52Ud1Ztg7KpSe7txfdNwkbW5UT7Xq1fJo+QAAAM4nPS1NqceO++RFCipRXAWyzInPC4ULF5a3eO655xQeHq7rr7/eLecz5zKbERIS4vJ5CLDgVo1bXabJ13VWzZ9nOfeVMPOxhr6rSl+8q6LFMvdwAQAAeAsTXK3v84h8UYPxHys4rKQCxRdffKH3339fQ4YMkbdhiCDc7saH+2l9ZLVM+yKPHtOPg9/iagMAAHiZU6dO6b///a+uvfZaff311/b/DRo0UJEiRXT55ZdfVEKLb775Rv369bMBj+lRMnO1Dh486Hx84cKFevzxx9WwYUOdPHnSDscrXbq0qlevru+++y7b+WbNmqUbbrhBLVu2VIUKFfTAAw8oKSnJPrZq1SqNHTvW+bo33XSTRo0aJW9BDxbyZLjjda/9U/Pvf1pVTpx07o/euFk/ffZf3XD/HVx1AAAALzFjxgx9+OGHWrx4sU6fPq3LLrtMw4YN0/z58+3+q6++2iZ9cAyfy2rcuHH6xz/+oRUrVqhJkyY2YDOBU9++fTVz5kydPXvWzpcaP368Da4efPBBGzxdc801uv/++9W/f3916tRJpUqVsuebMmWKJk6cqAkTJtgg75dffrHB35YtW/Tbb7/Z8r3yyiu66qqrdPvtt2vo0KHyJvRgIc/mY0W++LhOZhkLXOGH6Vq1dAVXHQAAwEv07NlT9957r/1/586d7dC7W265xd4OGDBAhw4dsv8/l+XLl9vbAgUK2FsTFNWtW9cGaEZoaKgNhurVq6cTJ07o7bfftufv1q2bDbZMhsKlS5faY00gZtLAv/rqq/Y8hgnE6tSpo9mzZ2vlypXydvRgIc80aBKtabfeqKLfTHbuK5yerr1vfqxqn76lUhF/f0sBAADgLYkizFwmXy17bgQH/x0WVKlSJdN+E2CZXixHsJQT09tlAibTs2SY3i4zPND0ZGUd5WSYIX8Ojtfbv3+/vf3111/tc1966aVMzy1RooQN2g4cOCBvR4CFPHXdXb01fu0GRa+Nde6reOqUZj7/um751xvONxoAAICnmSx8gZQo4mKYniOTOXDnzp3nPCYsLEzt27e3Q/l+/vlnNWvW7JzDCbNy9Ho5FvWNjf27zThp0qRcZfLzJFq3yHO9hj2trVneZPV37dF3737K1QcAAPByJlgyPUjncvToUXXv3t3OsXrvvffsnCpX07mb+VrGvn375KsIsJDnChUppCbDn1bS/7qeHWrOma8FM3+nBgAAALxUamqqHbLXqlWrcx7z6KOP2qF9o0ePdg41dFXlypXt7Y8//pjj4yb5hbcjwEK+iKwVqdT7++rvzt+/mbdf8qgx2rF1B7UAAADghUzWvvT0dJvt71wmT56sYsWKOZNSZJxTZQK0S2EyFgYFBdnMgJs2bcr0mJmXVahQIft/x61JmuFtCLCQb67s0UUb27bMtK90crKWD35TJzOkcwcAAIBnmHWlHEGLye5ngprBgwfb9OuGYy0qk87dwSStOHLkiJ599lmblv2JJ56wQZnx+eefa+7cufb/x44ds7fJycnO5yYkJGQ6n0l6YTILmv3NmzfXfffdZ8/bpk0b7dixQzfeeKM9Lioqys7lnzZtmk0P/+abb15yMJdXCLCQr25+foA2ViifaV+NxCT9+OKbzsmNAAAA8IxatWrZtO1mseAePXrYAMdkCTQZAd9991275pVhAhrHML5PP/1UNWvWtIv9vvfeezbl+4gRI2yvllkQuGrVqnrjjTfsAsHGwIEDtX37djus8OOP/87aaIYXmjTshnmuSdNepkwZu/Dx1KlTdeutt9pgLWNQZwIvE3SZ3jWTyt30fHmDAumO8BIeEx0dbW/XrVvn0Vow30iYLDB57dD+Q1r+8D9VIcM3H8bmbler12N35/nr+7P8qkPkHerQ91GHvo869G3Un2tMIHT33XdrzJgxNklFoNdhdC7a5/RgId+VKV9GFV54LNsixJHTfyPpBQAAAHwaARY8onGLy5TYp1emfSbpRcqoMdq+JZ5aAQAAgE8iwILHXNv3Jq1v8feESYdSyclaOfhtkl4AAADkI0diC5OsArlDgAWPuvmlQdqQJelFVFKSfnzhDZJeAAAA5NP8q5EjR9r/v//++3rrrbd8eqFfT8vdSmBwG5NBLz4+PtOK2Wbzd8Ehwbr6zRe07KF/quKpU8790XFb9cNHY9Vr4D0eLR8AAIC/M0ktPJ3YwhskJibazZFK3tWshPRgeQmT69/k83dsMTExChQRZSNU+cWB2ZNezJitP6bN8Vi5AAAAEDhiYmKcbfG4uDjnGl2XigDLS0RERGjbtm3ObdCgQQokDZs1UlLfm7N1rxYYPVYb1270WLkAAAAQGAYNGuRsi9euXdu2z11BgOUlzErUkZGRzi0QhgdmdU2fG7S+dfNM+0qmpmrr0Hd1+NBhj5ULAAAA/i88PNzZFg8JCbHtc1cQYMGr3PLiQMVWqZRpX+WTJ/XbMyOUfDbZY+UCAAAALgYBFrxKUHCQur01WNtLlMi0v+7+A/r2pbc9Vi4AAADgYhBgweuUDC+pRq8+p8MhIZn2R69Zr8mjvvJYuQAAAIALIcCCV4qsFakiTzygMwUKZNpf/edZZBYEAACA1yLAgtdqfWVbHbjlhkz7yCwIAAAAb0aABa/Wvf8tWt+yabbMgtuGvquEg66tTQAAAID8l5aWpl27dvn9pSfAgte75aVBiq1SOdO+SidPas7Tr+jMqTMeKxcAAAAubOnSpbrvvvtUpUoVDR482Ln/7Nmzaty4sa655hq/uowEWPCRzIIvZsssWOfgIX3/3Kv22xAAAAB4pxYtWqh3797au3dvpv1nzpzR1q1btXHjRvkTAiz4VGbBhKyZBTdv1aTXPvJYuQAAAHB+BQsWVP369bPtL1GihDZt2qTly5f71SUkwIJPZRYs+cwjOpVlVe36C5dq6piJHisXAAAAXFOpUiWVLl3ary6fScoG+Izml7fUr/1vV+iX/1VQhv0Vv52i+RXL6/JrO3qwdAAAwJelp6cp/ewx+aICoSVUoIBv9p2kpKQoONh/whL/+UkQMDrffJ2+37NPtWbMdu4LSU/X6VFfan2FMmrQJNqj5QMAAL7JBFeJ0/rIF4VfN14FCoW5/PyoqChVrFjR3hYoUMAGPRMnTlR6eroWLFigdu3a6ciRIxoxYoR2796t0NBQO7SvU6dOGjp0aLZeqD/++ENvv/22ypYtq+TkZDVr1izbay5btkz//ve/9c0332j//v3yFwRY8Em9Bt6j8Xv3K3rVOue+Eqmp2j18pMLff0WVqlb0aPkAAAB8SZcuXfTpp58677/77ruaMGGC+vXr5wyuzG2vXr1sQGSYQOvyyy/XzJkztWjRIpUqVcru//XXX3XPPffYfZUrV7ZB2gMPPJDp9bZt26aVK1dqzJgxOnbMN3sNz8U3+xEBk759+DOKrVIp07Uof/q0lj43QsePHecaAQAAXKS77rrL+X8TODl6pUygZbzwwgt2f8Y06yZ4Mo+bLID//Oc/nZkB//GPf9iAyjxumB6xgQMHZno901NmUrebNO3+hgALPis4JFjd331Z28Iyd4fXSEzSz08OV0pyisfKBgAA4EtMT5TDoEGDdPz4cb355pt2iJ9ZEsf0WtWqVUtFihTJ9LwbbrhBRYsWtb1d5rgff/xRe/bsUceOHbNlDMyJP829cvC/nwgBpXiJ4mr51mCte/wl23vlUH/3Hk3652u67e3BNjUoAADAxSSKMHOZfLXs7jBjxgx9++23at++ve69916778CBA0pMTFShQoVyDJDq1Kljh/uZ45YuXWr3ly9fXoGKAMtLmIg/Pj7eeT88PNxuuDAz3yrx5Sd05KW37Dwsh+jYTZr06oe67aXHuYwAAOCCTBa+3CSK8HWnT5/WY489ppCQEH3yySd2aJ8RFPR37mYTQOXE9GAZ5nlJSUn2/4cOHbKBly8xQaTZDJOYw/FzXyq+2vcSCQkJdiyqY4uJifF0kXyKzRw44B6d+d8HgUP9RX/qh4/HeaxcAAAAvuKNN97Q5s2b9dRTTyk6+v+zMoeFhdkeKZOYwgROWZkMgGY9q4iICJUrV87uW7VqlXyNaX872uJxcXG2fe4KAiwvYX4hzS+tYzNjX3Fp2l/TUYfvvFlpWfZXnzpTMydO4XICAACcgwmsTIBlgouXX34502Mffvih+vfvb7MB/uc//8n02N69e7V9+3abNdDo3LmzvR09erRSM4wsMskvDJP+3VuZ9rejLV67dm3bPncFAZaXMPOEIiMjnRvDA11zTZ8bte26v9/YDqZzN/yriVr063y31BUAAIC/GTBggA2CRo0alSmRRWxsrA4fPmyDLrOWlVkHywRUDq+99prd/+KLL9r7V111la677jqtWbNGt912m/766y+brt1kIXSkcH/vvfecAZdjSKHj1pNM+9vRFjfDHV2dx88cLPidngP665uEI2qw5C/nvsLp6Tr2/mdaEx6mRi0aebR8AAAA3mTq1Kn65ZdfVKxYMX311Vd2M71VZu2rhQsX6vXXX7fzrObOnathw4apR48eatq0qT2matWqmj17tgoXLuw836RJk2xAZTIPmuyEHTp00PDhw21g1rdvX91+++0294BJprF69Wr7nEcffVRPPvlkjgsS+5oC6ebKwKMcY1zXrfv/RXM9wXxzYMbY+kvSkAlPDVf0xs2Z9h8KDVXNd19W9ZqR8kf+VIeBijr0fdSh76MOfRv15/uSvKA9k5v2OUME4ZdMl+7Nb76o2EoVM+0vc/as1v3zNR3an32CJgAAAJBbBFjwWyGhIeo+coi2lMqc7r7KiZOa/+RQHU086rGyAQAAwD8RYMHvFyK+4r2h2lXs7/UZHGocSdTMQUN08sRJj5UNAAAA/ocAC36vTPkyin7jBTv/KqM6Bw5qyhNDlXw22WNlAwAAgH8hwEJAMEktKgx9SknBmRNn1t+1R98+NVypKf+/TgMAAADgKgIsBIwGTaJV9J8DdCLLmgbRW7Zp4otv2syDAAAAQG4QYCGgNG/XQmkD79PpAgUy7Y9es14TX3nfY+UCAACAfyDAQsBp37WDjt/XVylZ9puFib995xMPlQoAAAD+gAALAalTz2u1r09PZR0UWGf2H/rxX//2UKkAAADg6wiwELCu69db8T2uyba/+k+/aNq/v/NImQAAAODbCLAQ0G56uJ82dro825uiwvjJmvnNTx4rFwAAAHwTARYC3i1PP6T1rZplug4mmXvEvyfp1++mBfz1AQAAwMUjwAIk3fryIK1r1CDTtQhJT1f4l+M158dZXCMAAABcFAIswLwRChbUba//U+vq18l0PULT01Xs03H6/efZXCcAAABcEAGWlzCL3MbHxzu3xMRETxcpIIOsW998Uetq18y0v3B6ugqNHqsFM3/3WNkAAACQt0z729EWT05Otu1zVxBgeYmEhARFRUU5t5iYGE8XKSAFBQfplnde0roakZn2F0lLU9AHn2vJ3EUeKxsAAADyjml/O9ricXFxtn3uCgIsLxEREaFt27Y5t0GDBnm6SAErOCRYN783ROurV820v2hamlLf/ZeWzV/qsbIBAAAgb5j2t6MtXrt2bds+d4VJlgYvGZ4WGZm51wSeExIaol4xQzX5sZdVf9du5/7iqak69uYoLS8YpGbtmlNFAAAAfiI8PNxuRkhIiMvnoQcLOIfQQoV00/vDtaFihUz7S6Sm6tTrH+iv+X9y7QAAAJAJARZwHoWKFNL1HwzXxvLlsgVZp9/8SEt/X8L1AwAAgBMBFnABRYsV1XUfvqJNZctkC7JS3v6YxBcAAABwIsACLkKx4sXUbdSr2XqyzJys9HdGa/HsBVxHAAAAEGABlxJkdf9ohDZWKJ8tu6De+4R1sgAAAECABVzqcMHuH76SLfGFCbKCP/hc82fM44ICAAAEMIYIAi4EWT0+ekWxlSpmW4w49KMv9Me0OVxTAACAAEWABbigSJEiuunDEYqtUinT/sJpaSo06kvN+XEW1xUAACAAEWABuUjh3vPDV7S+apVM+wunp6vkp+P0y/ifuLYAAAABhgALyOVixL0+GKb11atm2h+Snq6y/56oqWMmcn0BAAACCAEW4IYgq/f7w7WuRmSm/cGSqkz6SZNHfcU1BgAACBB+FWDNmDFD7dq1s/NjwsLCdMMNNyg2NjbbcRMmTFCvXr00aNAgXXvttXrnnXeUnp6e7bjNmzfr9ttvt8fdcccd6tOnj/bu3ZvtuDNnzmj48OG66667NGDAAHXp0kU///xznv2c8D4hoSG6NWaY1tWvk+0NVvPnWZr09r88VjYAAADkH/Mlu1/49ddf1bt3b1199dXq3r27Fi5cqClTpmj+/PlasWKFqlevbo8bMWKERo0apTVr1qhMmTI6fvy4WrRooW3bttn9DuvWrbPB2scff6y+ffvafYMHD1bbtm31559/qmzZsnZfamqqbrzxRhugTZ8+XQULFrTPbd68ucaNG6dbb73VQ1cE+S0oOEi3vT1YEwa/reiVazI9VnfOfH1z6pRuHfy4/R0BAACAf/KLlp4Jbp5//nkbSP3000/69ttvFRcXp2uuuUZHjhzRyJEj7XErV67Uyy+/rMcee8wGV0bx4sX13HPP2UBq3rz/X8OoX79+qlChgjO4MsxrHDx4UM8++6xz30cffaRffvlFQ4YMcTaco6Ojddttt+mhhx6yr4/AYX4HbhvxjGLbtsz2WIPFf2nCi28pzSxMDAAAAL/kFwHWkiVLdP/996tOnf8fnlWsWDG99dZb9v8bNmywt++//74Nxrp165bp+abHy3AEYibQMsGaGT6YkTlnx44d9fXXX+vQoUN2X0xMjB2OaHq2sp7TBFdffcX8m4AMsl56XJs6XZHtsehVazXhqeFKSU7xSNkAAACQt/wiwKpZs6buvvvubPtr165tbytV+nutojlz/l4AtkGDBpmOK1eunN1mzpxph/w5jjM9UVk1atRIKSkp9tj4+Hi7mfMVKFAg23HGtGnT3PZzwrfc/PSD2np9V2Xtr4reuFnfDnxZZ06d8VDJAAAAkFf8Yg6WYz5UVgcOHLC3N910k06fPq3t27erdOnSKlSoULZjK1asaI/funWrs8fL7MvpOMPMszLnupjjLsaWLVtyDOgu5RzwPjc9cpd+LlpEFSf+mOnN1mD7Dv30yPO6ZuRQlQwv6cESAgAABK7oc7S/TdvcdOIEbIB1vqyCLVu21PXXX6/9+/fbfUWLFs3xWDP8z0hISHDOm8rpWFeOuxhm6OK55uYkJSUpPxw7dixfXifQXN6zq+YVlCpN+EmhGbJV1t1/QLMf/qcaDXtKZcr/PScwt6hD30cd+j7q0PdRh76N+vN9x/KxTXqu9ndOGcYV6AGWSZ3+2Wef2TlQZk6Mo9cq61A+B0eCCnMxz3esK8ddjFq1anlFT5WZTwb3u+GuWzSvVCmlfDJORTO8kWskHdWmF95UwdeeV1SdKLe8FnXo+6hD30cd+j7q0LdRf74vLJ/apDkt6XS+nq2AmYOVk5deesmuTeW4OGY4X2hoqE6dOpXj8SdPnnQeZ7IHGjkd68pxgNGxR2cFPfuokoIzf69R+eRJbXv2Fa1dnjm1OwAAAHyPXwZYo0ePtkkmrrvuukz7q1ataofsJScnZ3vOvn37bI9UjRo1VK1aNee+nI4zTGKLiz0OcGjZobXKDH9WB7LMAyxz9qwSh7yjxbMXcLEAAAB8mN8FWP/973/t8DyzjlVWZhFiM2TPkcTC4fDhw9qzZ49NwR4SEmKPM9avX5/tHGaBYjMksFOnTqpSpYpNDX+u44zOnTu78aeDP6jfpIHqvDtEu/43T8+hZGqqCr73iWZPnuGxsgEAACB3/CrAmjx5svbu3asHH3ww23C9t99+W/fdd5+9bxYGzmj69On29oEHHrC3Zk2rhg0bZjvODAWcO3euXeOqcuXKdp9Zf8sEaMuWLct2TjMk8R//+Ece/KTwddVqVFOrj17VllLhmfYXTktT+Gdfa+qXEzxWNgAAALiuoD9lDDSB1Z9//qnbb7/dud166602WGratKnNKDhw4EC74LAju58Jvl5//XXdcMMN6t27t/N8n3zyiU3POHHiROc+E6QFBwfbxYUdzPnMeYcOHepMaLFx40a7GLE5r2MNLiArkzmwy7/e0IaK5TPtNzO0qn07RRPfHHXOzDYAAADwTgXSc5OD0EssWbJEV1111TkTWERGRtr1rRzZ/j766CNNnTrVDu/bvHmzWrVqpRdffNEOD8zI9EqZRBkmSDLraB0/ftwGTY4FjB3MfpNUw6yzZXq2zBBEs/DxHXfccVHldyTi8HQWQZMOnqw7+e/smTP67ukRit6yLdtj6+rX1c2v/1MhoZl/N8+FOvR91KHvow59H3Xo26g/35fkBW3S3LTP/SLA8nUEWEhNSdXEl99W9Mq12S7GhkoV1O29oSpRsrhPfCAhd6hD30cd+j7q0LdRf74vyQvaM7lpn/vNEEHAlwUFB+m2Ec9qU6crsj1Wb88+zX7wWe3ZudcjZQMAAMDFI8ACvITJfnnz0w9qd9/eOpNl8eqopKNa+/hLil2d82J4AAAA8A4EWICX6da3p1KeeFBHg4Iy7a9w+rQODX5Ti36d77GyAQAA4PwIsAAv1Lbz5Yp45TntL1w40/6wlBQFj/xE0/8z2WNlAwAAwLkRYAFevCBx9PuvaFtYyUz7C6Wnq/J/vtOkd/5FGncAAAAvQ4AFeLFKVSuq0ydvaUPFCtkeqzt7viY8OVxnTp3xSNkAAACQHQEW4OVMevaeo1/Xuvp1sj0WvWmzpj74rA7tP+SRsgEAACAzAizAB5iFhm97e7A2dmyX7bHahxK07JHntWHNBo+UDQAAAP+PAAvwoTTutzz3iPb2u0WnC2Z+61Y6dUqHXnhdS2Yv9Fj5AAAAIAVzEbxDWlqa4uPjnffDw8PtBmR1TZ8b9VfVSkp4Z7Qizp517i+Zmqqin/1HP+4/pBsf6seFAwAAuASJiYl2M5KTkxWUZcmci0UPlpdISEhQVFSUc4uJifF0keDFml/eUjXfG6r4kiWyfWMS9dMvGv/iW0pJTvFY+QAAAHyNaX872uJxcXG2fe6KAunp6eluLx0uSXR0tO3Bmj59ukd7sJKSkhQWFpavr4ncOZp4VNOfGaH6u/dkeyy2ckV1e/sllQzPnOYd3o33oe+jDn0fdejbqD/fl+ShNmnGHqyuXbvaHqzY2NhLPg89WF40vyYyMtK5MTwQF8METzebDIPNL8v2WP3de/X7A89qy4YtXEwAAIALMO1vR1s8JCTEts9dQYAF+Lig4CD1eeUZbbupm7IOCqx2/Lj2PPuK/pg2x0OlAwAACCwEWICfuPGBvkp44E4lBWfOXROWkqJiH32h797/wg5FBQAAQN4hwAL8SKur2qr8Gy9oV7FimfabkKv2L3M04YlhOnXqlMfKBwAA4O8IsAA/U6dBHbX/7C3FVq6U7bHouC365b5ntGv7bo+UDQAAwN8RYAF+KCw8zCa/WN+mebbHahxJ1KbHX9LS35d4pGwAAAD+jAAL8OPkF7e//IT29rtVJ7NkwSlz9qwKvvmRpnw+3mPlAwAA8EcEWICfu6bPDSo69CntK1w40/7Q9HRV//5njX/uNZ05dcZj5QMAAPAnBFhAAGjc4jI1Gf26NpUtk+2x6DXr9fP9T2tn/C6PlA0AAMCfEGABAaJc+bK68bO3te6y6GyP1Tp8RFsef0kLZv7ukbIBAAD4CwIsIICEhIaoz+vPa3uv7jpToECmx0onJ6tIzKf69p1PWC8LAADARQRYQADqcV8fBb04SPuzzMsy62XVmf2HJj7ygpISkzxWPgAAAF9FgAUEqGbtmqvp6De0sUL5bI812LFLC+9/RutXrvNI2QAAAHwVARYQwMqUL6Nen76l2DYtlJblsconTuro4Dc14z8/eKh0AAAAvocACwhwZr2s214epMMP9NPRoKBMjxVNS1Ol/3yr8c+/QSp3AACAi0CABcDqdNM1qvj2y4ovWSLbFYletVbT731K2zZt42oBAACcBwEWAKea9Wrq6s/f0braNbJdlRqJidrz1FDNmjiVKwYAAHAOBFheIi0tTfHx8c4tMTHR00VCgCpWvJhuGzlUW6/vmi2Ve4nUVJUf+w1DBgEAgN9JTEx0tsWTk5NdXraGAMtLJCQkKCoqyrnFxMR4ukgIYAULFtRNj9ylkJee1N4iRbI9zpBBAADgb2JiYpxt8bi4ONs+d0WB9PT0dLeXDpckOjraRsjTp0937gsPD7dbfkpKSlJYWFi+via8vw4TDydqxotvqcH2HdkeOxYUpJP9blGXW69362sGMt6Hvo869H3UoW+j/nxfkofapKYHyzGKrGvXrgoKClJsbOwln4ceLC/qMYiMjHRu+R1cAecSXjpct44aoS3duzBkEAAA+K3w8HBnWzwkJMS2z11BgAXgwh8UBQuq56P/uMCQwSe1ecNmriYAAAhoBFgALlqTNk3V+rO3tb56tWyP1UhM0sGnh+vnsZO4ogAAIGARYAFw25DBYmlpqjrxR41/7CU7dwsAACDQEGAByNWQwT05DRncsk1L73taf/6+hKsLAAACCgEWgFwNGWz7Rc4LE1c4fVpBb3yoiW+MUkpyClcZAAAEhGBXn7hjR/aUze4QHBysSpUq5cm5AbhfWHiY+rw/XNPGfafwST+peGpqpg+Yer8v0g+xcWo19ClVi6pKFQAAAL/mcoBl0hcWyDL/wh2qVKmi7du3u/28APLWdXf11tY2TbVq2HuqeSTz/Ks6Bw9p++MvacOdvdX11h5UBQAA8Fu5GiJo1ijOiw2Ab6pRp4auHzNS69s01//3Y/0tLCVFFcZO0PinhuvY0eMeKiEAAICXBlhFihTRsmXLlJaW5rZt9erVCg0Nde9PCCBfhYSG6PaXn9CpJx7UgUKFsj0eHbtJC+9+QkvnLqJmAACA33E5wKpXr56aNWvm1sI0bNhQZcuWdes5AXhGuy5XqOmnb2l9tSrZHqt46pRC3hqlb4aN1NkzZzxSPgAAAK8KsEyaZgA4n4iyEbr149e07cZrdSrLZ0aQpAZL/tKMfzyhdcvXcSEBAIBfcDlKuuaaa5QXunTpkifnBeAZ5suYGx+8U6XeGqytpcKzPR559KhOvvSGvhv5uVJTss7cAgAACJAAa8SIEcoLw4cPz5PzAvCsOg3qqPuYkdpweRtlXRWrUHq6as+aq8n3PqXtW+I9VEIAAAAPBlivvPKKG15eeu2119xyHgC+kQDj1hcGKH3wIO0qVjTb4yad+65BQ/Tz2Ek28Q0AAEDABFijRo3K9YubBtQHH3yQ6/MA8C3N27VQxzEjta5xdLbHSqSmqurEHzXx4ee1Z+dej5QPAAAg3xcaPnDggO6991717NlTJUuWvKTnmrWujhw5ogkTJujgwYOuFgGADytWvJj6vPG85v38m1I+/4/Knjmb6fEGO3dry6PPa+UtPXRt354k1gEAAP4dYBljx461m6tMoFWgQIHcFMFvmN68+Pj/n3sSHh5uN8Dfdex+tQ63bqpfhr6n6K3x2RYnDhs/WRPnL1WHwYNUqWpFj5UTAAD4t8TERLsZycnJCgoyOY8vXa5zrZsgydUN/y8hIUFRUVHOLSYmhsuDgFG6TGn1+WiEdt/RS0nB2b/3cfRmTfv3d8zNAgAAecK0vx1t8bi4ONs+d0WBdBcjnVKlSikpKUnBwcG68cYb7SLBF8u8pIkOZ82apQ0bNig1NbBTM0dHR9tG4/Tp0z3ag2XqMywsLF9fE+7lD3W4d/c+zRseowY7d+X4+Pqqlf26N8sf6jDQUYe+jzr0bdSf70vy0N/CjD1YXbt2tT1YsbGx+TdEcM+ePfr666/18ccf67vvvtPhw4c1YMAA3XTTTRc97O/EiROqWNE/G0murBUUGRnp6WIAHlexcgXdOvo1zfjPZJWYNMUOE8yIuVkAACAvZOzgCAkJcfk8Lg8RLFKkiO6//36tWLFCv//+u8qVK6fbb7/ddqm99dZbNuC6kGLFiumyyy5ztQgA/PgLh+v69Vat0W9ofdUq2R43QVcVMzeLTIMAAMDL5HoOlnH55Zdr/Pjx2rFjh+6++26ber1q1ao2y+DKlSvP+9w//vjDHUUA4Ke9Wbd/8oadm5V4jrlZWx/5p3767L/MzQIAAP4TYDmUL19eQ4YM0fbt2212wS1btqhZs2Y2ADMp2QN9rhUA13S7s5dqm96satl7s0qmpipy8jR9f/eTilsfxyUGAAD+E2A5mAlht9xyi+bOnavVq1fbBBj33XefqlWrpldeeUX79+/Pi5cF4O+9Wf96Q7v79s6xN6vOwUM68sxwTXr7X0o+m+yRMgIAAORJgJWRCa7+9a9/affu3XrmmWf0xhtvqHr16rrzzju1ZMkSagDAJenWt6ftzVoXWT3bY4XT01V3znxNv2ugli/8iysLAAD8L8Ayjh8/ri+//FIfffSRTp06pbNnz9o5W+3atdOVV16ZH0UA4Ge9WX0+flUH7+urA4UKZXs88ugxacRIjR/8lo4fO+6RMgIAgMCUpwHWtm3b9MQTT6hKlSp66qmn7H0HM1zQZBv88ccf87IIAPzY1b26qeWY97SuUQOlZXnMDCKMXr5aC/8xSL//PNtDJQQAAIEmTwKsefPmqWfPnqpTp47NKHj06FG7uLDZ2rdvr0mTJtkEGCboYkFNALkRFh6mPm++oDPPPqpdxYple7zC6dMKH/Wlxg98Wfv2MP8TAAD4SICVnJyscePG2ayBnTp10k8//WSzBpqgyizU1bdvX/355582LXvv3r3tOjcA4C6tr2yrq8d9oNh2rXQ2h8XOozdv1eYHn9UPo/+t1BQymgIAgLyRPRXXJTp48KBGjx5tE1k4sgOaoMooW7asHnzwQT3yyCOqUKFC7ksLAOdRqEgh3TZ4oNavXKcN7/xLtQ4fyZbSveSUX/TT/CWq+fj9atyKhc4BAIB7udyNZNKv33PPPTYj4LBhw7Rv3z7nMMBGjRrp888/twsPDx8+/LzB1TXXXONqEQAgRw2aROvGsTHa3O1qnciht7zmkUSlDH1b4194U0cTj3IVAQCA53uwmjRpogIFCjh7q8z/u3fvrkGDBtkhghcjKSlJCxYscLUIAHBOQcFB6vXY3drZo4sWvPmxGmzfkT0Jxso1+vPuQUq97SZ1vvV6hi4DAADPDxE0gZUZCvjAAw+oVq1a2rVrl52LdT5nzpyx62J9//33Nm07AOSVqpFVdPvo1zR3yiydGTtRFbN85pQ9c1YaN1HfzvpdzZ95WDXr1aQyAACAZwIs03tVqlQpFSlSRP/+978v+jmnT59WQkKCTYJhAjQAyGtX9uiik53aa8q7n6rmkr8U+r/ed4d6e/cp4elh+qt9K/UYdK/9XAMAAMi3AMsERnPmzFGHDh1czjr4ySef6PHHH3e1CABwSYoWK6rbXh6kDWs2aO27n6jOgYOZHi+clqZ6fyzWvGWrVOiuW3TVjV25wgAAIH+SXNSoUcPl4MowqdsHDBigSpUquXwOAHBFvUb11OvLd7Xztpt0OCQk2+OVTp1SxCfjNOH+Z7R5w2YuMgAAyPsAa8iQIXKHwYMHu+U8vi4tLU3x8fHOLTEx0dNFAvyaWYuv+z9uVuMv3tW66HpKy+GY+rv36shTw/TNsJE6fuy4B0oJAADyi2l/O9riZrSdaZ/na4B15513yh1MunfIzkmLiopybjExMVwWIB+ULlNafd4erNQXHtfW8LBsjxdKT1eDJX9p8V2Pa8Z/fnD5wxYAAHg30/52tMXj4uJs+9wVBdIdedY9YP78+erYsaNNdhHIoqOjbaNt+vTpzn3h4eF2y08mbX5YWPYGJnwHdZg7qSmp+nnMBIVNnalSySk5HrOpbBnVf/x+RTeLVl6gDn0fdej7qEPfRv35viQPtUlND5ZjFFnXrl0VFBSk2NjY/OvByo2DBw/qxRdfZJHhjBVRsKAiIyOdW34HVwD+XjvrhvvvUKMv3tO6xtHKKcSqc/CQzgx+XeOff0NHEo5w2QAA8BPh4eHOtrjJF2Ha567I1wBr+fLl6t+/v6pVq6Y33niDNbAAeO+wwTeeV8jw5xRXJiLb43aR4lVrtfqeJ/XD6H8r5Ry9XQAAIPDkeYBlhv998803at++vVq2bGnXyzILDXtwZCIAXJRGLRqp59iR2n1HLx0sFJrt8VLJyaox5RfNuHOA/pg2h6sKAADyLsA6cOCAXnnlFVWvXl19+/bV4sWLbVBlNpPi/Z///Kd9HAC8mRke0O3OXmr11Qda36qZzuawOHq1Y8cV9tEXNq27WWMLAAAELpcXGj6XP//8Ux9++KEmTZqks2fP2n2O3qqrr75agwYNUvfu3Z3Hjx071t1FAAC3K1GyuG4f+qQ2rd+kFe99pvp79uaY1v3kcyM0/rJodX3yAUWUzT68EAAA+De3BFgpKSmaOHGiDayWLl2aKagqUqSIbr75Zq1cuVKzZs3K9twJEya4owgAkC/qNKijOp+/rXk//6bjX01S1ePHc5iftU7r731KBzt30PUP9lVooULUDgAAASJXQwT379+vYcOG2aQV/fr1s8GVYxhg48aNbcC1Z88effXVVypWrFiO52jWrFluigAAHtGx+9Xq+vWH2tK9i46EZP+uKiwlRbVmzNZvdz6m2T/84pEyAgAAH+rBMvOqvvvuO7vKsaO3ygRRt99+u+6//361atXKneUEAK8TEhqino/+Q0duv0EzYj5X7eWrFZolgU/lEyelT/+tST/+oroP/0ONW13msfICAAAv7sG65ZZbdMUVVzjv9+jRQ7t27dJnn31GcAUgoJSKKKU+rzyj8HeHaH3VKjkeU3f/AaUNfVvjH39Z27fE53sZAQCAlwdYN910k51TtXHjRpu4Yv78+YqOjtbLL7+s+HgaDwACT616tXT7J2/o2KAHFF+yZI4fuNFxW7V/4Esa/9LbOnzosEfKCQAAvDhNe61atfTee+9p9+7dNu36jBkz7L4uXbrYxBdmCCEABJL2XTuo+9cfKr7ndUoIzb5+VuH0dEX/tUrr7nlS3777KYuuAwDgR9y2DlbhwoV1991320QXZs2rqlWr2vuVKlXSk08+ec4GxJIlS9xVBADwGkHBQbrh/jvUfGyMYtu10smCBXNMhFHnt981v+9j+nnsJKWmpHqkrAAAwMsXGm7RooW+/PJL26v1wgsvaNq0aVq3bp3uueceu05WRnfeeafbX//YsWN2qOLy5csvKdW8I8U8ALhLyfCSum3wQFUb/abWNainlByOKX/6tKpO/FE/3zlAi3+dz8UHAMCH5UmA5RAeHq4nnnhCGzZssEHW0aNH1a5dO5ua/c0339SQIUO0detWt72eWdj4/fffV40aNexwRfN6OTl06JCKFi2qAgUKOLeQkBDFxsZmOs4835TfZEV86KGHdO2112rRokU5ntOs59WrVy87H80c98477zizKwJApaoV1eedwSr65uBzJsKIPHpMFb8Yr0l3P6kVi//iogEAEKgLDV+Mzp07281kGvzoo49sgJWYmGiDG3dZs2aNTRO/YsUKu/bWuZj1uRo2bKjSpUs795UsWVK33nqr8/7x48fVoUMHtWzZ0mZGNExSjyuvvFKzZ89W+/btnceOGDFCo0aNsq9fpkwZ+1zTi7dt2za7HwAc6jWqp3qfvKElcxdp9+fjVevw4RwzDmr4SH1Tvaoue/gu1W9cnwsIAICPyLcAy6FKlSp644037NBB0ytken7cpXnz5vY2MjLynMecPHlSkyZN0l9//aUiRYqc87iXXnpJq1ev1tSpU537TOKONm3a2Lll69evV3BwsFauXGmHI5ogywRXRvHixfXcc8/ZIZEmaOvYsaPbfkYA/qH1lW2V1qG1fvtumpIn/qQqZr2sLBps36nT/3xV4+vUVJtH+iuqTpRHygoAALxkiOD5mB6jsWPH2mAkP33xxRf2NadPn66DBw+eMwgzvVaNGjWyAWFG3bt3V1xcnDPwMkMSzVDAbt26ZTvOGDlyZJ79LAB8W8GCBdXlluvV5T+jtLXHNTlmHAwyqd03bVHCEy9r/HOvac/OvR4pKwAA8NIerDNnzqhQoUL2/6GhoXZ+Vn5JTU21KeXNOl29e/e2jZtOnTrZIMgMGXQwyS5OnDhh1/XKygRdhplTZtYCmzNnjr3foEGDTMeVK1fObjNnzrSvGxRkmknntmXLlhxfzzAJQgD4r5DQEN30cD8d69tTU97/XNWXrlCJ1MwZBUNNavc167Xz4ef0e7PG6vLY3YooG+GxMgMA4A+iz9H+Nm3zmjVr+kaAZYISk7L96quvtlvr1q3z7bVNT5PpwdqzZ48WLFig8ePH69dff7XzrH755Rc758pwBH0VK1bMdg7HPhP0nD59Wtu3b7dzuRxBY9ZjDxw4YBN51K5d+4JlS0tLy/GxpKQk5QeTfRG+jTr0fR3uvlkpfW/S/C8nqvbKtSqS5XPB3G+wbKU23POktrdqqg79b1GJkvk7EgDnx/vQ91GHvo36833H8rFNeq72d26S1eV7gGWG5pnhdWb+1dChQ+1wvfwKIMycKdNj5UgPb+aCmax/ZqjiLbfcYnu2zLysI0eO2GNMpsGsihUrZm8TEhLOe1zWYy8UYJnFmb2hpyosLMzTRUAuUYf+UYeRI561wwHnfTRGtdfG2h6sjEwPV8NFy7Rl2SodurK9uj1wh4oWy/mzCPmP96Hvow59G/Xn+8LyqU2aNYv4hXq2vHYO1vXXX28z8ZleH5Nxz5MVN2bMGJuIwvQ0OeZVOXqjcspwaIYVOqLa8x2X9VgAcCm1+5svKGLkcK2rU1M5LUNcKjlZtWfN1eK+A/T9B1/qZA7JMgAAQAAkuahTp47uu+8+eYN//vOf9takVTcqVKhgb81QxpwSYBhmWKDZzDyynI7LeiwAuMpkD+wTM0yFX3tB66tXzfGYMmfPqtaM2X8HWh+OOefnEgAA8NMAy7juuuvkDerX/3uNGUfa9mrVqtnbffv2ZTvWsc+R1KJq1ap2CGBycnKOx5peLrPwMQDk+rOqSQPdPvp1pb78hDZULH/uQGv6b1p4x6Oa/NFYAi0AAAIpwDrfelX5ySS9MJo1a2ZvW7VqpRIlSti1rrIyiwkbZtFkwyTqMEMAs2ZDPHz4sD2vWQMrJCQkH34KAIGiaZvmuvWLd3XiyYe0qezf6+9lVfbMWdWc9qsW3DFAk0d9RaAFAEAgBFgmiMlPJhAyaeKzMkkuTFDVrl07e98M+7vrrrvsIsL79+/PlqSjbNmy6tmzp73vGOZoshBmPc544IEH8uznARDY2na+XDd/FaNjj9+vuDI5p2wvd+aMav48yxlonTmV/TMQAAD4SYCVV0zCCiPrHASz9pUJ6kzmQEf6R7Oe1eTJkzVhwoRMySqGDx9uhwoOGzbMuW/evHl23auPP/5YhQsXtvtMiveBAwfaBYfNUEHH3KvXX39dN9xwg31NAMhL7a/pqN7j3tfRgfcrLqL0eQOtP+54RD98PI4eLQAA8ojLadqvuuoq5yK7rjIL8LqTGb5ngqVx48bZ+y+++KJdp8oEOabXqX///oqLi9O//vUvTZkyRW3btlWLFi20ePFiZ0p1B5OYwux/4YUX1LdvX4WHh2vz5s02IOvatWumY01wZdKwm+NM8g5z3M0332xfHwDyy+XXdpSu7ag/ps/Rwf9OVq2EwzkGWuWmztSimXN1pGM7XXPf7SpegnW0AABwlwLpLuYQNwGI6bE5V4ryi7F8+XLbA+TuQMvXOPLse3odLLMeGetG+Dbq0Pe5qw7NwokLZsz7O9A6nD3QcjgSEqz97Vqq6/19FV46PNevC96H/oDPUt9G/fm+JC9ok+amfe5yD1ZiYqIdAnfttde6NJfKBFVmWB4AwP3MOnxXXHeV0q7tqPnT5+rQeBNo/b04ekalklNUat4irZu/VDtbNlGnB+9UufJlqRIAAFzkcoBlmOFyZnOV6TzLTQ8YAODCgVaH7p2U1u1KO3Tw0ISfVPvQ3/NFMyqRmqoGi//S1qUr9NtlDdXhoTtVuWolLi8AAPmd5MIESa5uAID8C7Q6dr/aJsMw6d03Vsh5Ha2iaWmKXrFaex56TuOfGaH4zfFUEQAA+dWD1b17d3Xp0sUOEbzUniiT4W/p0qX66quvclMEAIAL6d3V+XL9Nf9PbR73rerv2p3tmELp6Ypet0GHBw7Woto11fS+PqrXqB7XGgCAvAqwIiIi9NNPPyk3HnroIe3duzdX5wAAuKb55S3ttmbZGq0d843qbduuoBz+SETHbdHp50bom6qVVaNvL7Xq0JpLDgCAu4cImjTk7nD99de75TwAANc0atFIfUa9qmLvvKx1dWspOYcRCeaPRYOdu1X4jQ/1Xb+B+u376TZTIQAAcFOa9g8++CDT/TZt2qhVq1aunCrgkaYd/pTWFL5fh9u3xGvhp/9VzbWxKnyePxE7ixdX2jVX6po7eyq0UKF8LaM384Y6RO5Qh76N+vN9SYGapn3QoEEKCgpSr169bG9WjRo1XD0VAMCLVK8ZqepvvqA9O/dq3qdfq/rKtSqew3qFVY8fl76bqt+nzlLiFW3U5Z5bFRZOYAEACGy5SnIxevRo3Xfffe4rDQDAa1SqWlF9XnlGiYcTNevLbxQxf6nKnD2b7bhyZ86o3K/ztHbOfO1sfpk63NvHPhcAgEDkcoBVtGhR3X333e4tTQAzcxni4/8/HXJ4eLjdAMDTwkuH65anH9KZR+/WL19/p+CZc1XlxMmc19Jauly7/1yheXVrq8ldN6t+kwYeKTMAAJcqMTHRbkZycrIdrZevSS6qV6/u8otm9Mgjj+T6HP4gISFBUVFRzi0mJsbTRQKATAoVKaQb7r9D14wfrf13367NpUvleIVsivcNm5T8wmuaeO9T+v3n2STEAAB4PdP+drTF4+LibPs8X5NcmIQWZh2r3KpSpYp27dqlQGYm0ZkerOnTp3u0B8sbJhQid6hD3+drdbh49gJtH/+D6u8+/5IbO0oUV1rnDupyZ08VKVJE/szX6hDZUYe+jfrzfUke+hzN2IPVtWtX25kUGxubf0MEz549q507d8rF+EzHjh3T5MmTWQfrfwoWLKjIyEhXqwMAPKJNp/Z2W79ynVaNnag6cVsVksPfhWrHjkuTp2nJ1Fna36qpOt59mypUKu+RMgMAkJOMHRwhISFylcsB1urVqwkIAABWgybRahAzTDu27dTCMRNUZcUalcwh82Dp5GSVXrBUOxb+qTl1a6nxnTcrutnfqXABAFCgZxF0tfcqowI5LGgJAPBN1aKqqtrwp3Xs6HH9Ou5bFZmzQJVOncp2nFlfK3pDnFIHv65JFcqrXM9uuqJ7J9ubDwBAQAZYERERuv766116rplvZMZWLl68WAcPHnS1CAAAL1WiZHH1HNBfqQ/105wff1HiTzNV5+ChHI+tu2+/NHqspo+bpLNXtlPnfr3t8wEACKgAy8wXGjNmTK5e/PDhwzbJBQDAPwUFB6lz7+uk3tdp5eIViv3P96qzNT7HeVpVT5yQfp6l1TNma0fD+mrRr7dqN6jtkXIDAJDvAZY7hgeWLl1aNWvWzPV5AADer0mbpnbbtX235o+ZoMrLVyssJSXH9bSiV63ViVVrNbFiBZW94Rp16N7JBmsAAHg7lwe7u5oXPqvvv//eLecBAPiGKtUr6/ahT6rpfz7Slu5dtLtY0XP+gaq3d58iPvlKs25/WN/FfK7Ew3+nzwUAwO8CLJOife/e8697cjFq12b4BwAEouIliqvno/9Q1/GjlfDgP7ShUgWlnePYSidPqvbMudpw10CNf2aEYleuz+fSAgCQxwGWSVRx1113aceOHa6eAgAAO/Tvqhu76NbP31Gxd4ZoXZOGOhaU83DAomlpil63QckvvKZJ/Z/QrElTlZKcfZghAACekqt8uL/99puioqLUunVr/fTTT+4rFQAgIJmkFn1e+6ca/2eUHT64s1ixcx5b98BBlR/zjebe+qAmvvaRdu/ck69lBQDArUkuTA8WAAB5lub90X8o7eF+WvDLPO3+YYbq7tytnPq1yp05o3LzF2v//MX6o1pVVb6hq9pf25E1tQAAvrfQcE6ZBVesWKH58+dr9+7ddq2rkiVLqmLFimrfvr1atGjBHzwAwEUzCw9f0e0qqdtVit8cr8XjvlXllWtzzD5o/qA12LFT+ugLzfxyvI63a6kr+/ZUmfJluOIAAN8KsExgNXr0aL399tvnnZNlAq2nnnpKAwYMUEhIiDteGgAQICJrRSpy+NM6cfyEfhv/o/TbfEUePXrOpBj6dZ62/fa7ZtWIVI3e16llh9Z8yQcAyHMF0nO5oNW+fft022232V4r40KnK1CggFq2bKlJkyapatWquXlpvxEdHW1v161b59FymB7HsLAwj5YBuUMd+j7q8NKGqi9fuExx3/6smpu3qfAFhq5vL1FCKR3aqFPfmxQWnnefddSh76MOfRv15/uSvKBNmpv2ea56sBITE9W5c2fFxsbawMoM5WjSpIkaNmxoFxEuXry4jh07Zi+SOWb16tU6ffq0li5dap+3aNEiexwAAJfK/M1pcXkruyUcTNDc/0xWkQVLVeXEyRyPr37smPTzLMVO/03b6tZSnZ7d1LRdc3q1AABulasA67777tP69etVq1YtO/TvjjvuUIkSJc55fEpKin744QeNHDnSBlf33nuvJk+enJsiAACgiLIR6j3oPqUNvEeLfp2vnT/MUO3tOxWSw6gKm+o9dpMUu0k/lyih5PYt1bHPjfYcAAB4bIjg4sWL1a5dO91555367LPPVKhQoUt6/quvvqqXX35ZCxYsUJs2bRTIGCIIf+pSR+5Qh+6zd/c+zf/6e4UtWa4Kp0+f99jTBQpoS1R1VevRRW27XJGrXi3q0PdRh76N+vN9SV7QnslN+9zlAGvgwIGKi4vT9OnT5arHHnvM3n744YcKZKYCzVyCjNcyPDzcboH2y4zcoQ59H3Xofqkpqfr95990YOqvqrN7T46p3jPaU6SIjrVqqnZ33KTKVStd8utRh76POvRt1J/vS/JQm9RMfzKb0bVrVwUFBdlpTvk2RHDOnDmaMGGCcmPw4MG28JASEhLsos0OQ4YM0dChQ7k0AJBLQcFBuurGrtKNXbV9S7wWj/9JEX+tsutn5aTSqVPSvIXaP2+h5leppDLXXqUO13dWSCjZbwHAn8XExGjYsGHO+2XLlnXpPC73YJlkFitXrlRutWrVyia9CGT0YMFd+NbO91GH+SMlOUXzZ8zRvp9nq/bOXTnO1croUGioDjRtpJa33aCa9Wqe91jq0PdRh76N+vN9SYHag8U6Vu5lxvtHRka6+awAgJwEhwTryh5dpB5dtG/Pfs0f/6OKLl52zgyEZc6eVZklf+nEkr/0XZkIhXZoo443d1fJ8JJcYADwExmn6OQm1nE5wDp58qTNChgc7HoiwtTUVJ04ccLl5wMAkFsVKpXXzU89oLS0+7R07iJt+3GmamzZpiLnWFer9qEE6fuftf6H6dpWI1JVr7tabTtfbociAgDgcnRUpUoVu1hwnz59XL6KJmU7iw0DALxlJEGbTu3tlng4UXO/+UkF/liiqKSkHI+36d43b5U+2KrZn/5bCU2i1eLWHipb0bUx+wAA/+ByHtpu3brpiSee0JYtW1x6vslAaLIIdu/e3dUiAACQJ8JLh+umR+7SjeNHKX3oU1rXqIGOBp27h6r86dNqsPgvnXxyqGY9Olg/ffZfJSXmHJgBAPyby0kujh49qho1atghgh988IFuvfXWi37uN998o0ceecQ+1wRo51ucOBCwDhbchYm9vo869F6nTp3SvO9/0dHZ81Vr774LDgE5VbCgtkZVV5VundSuaweGEPoQ3oe+jfrzfUmBug6W8eWXX+q+++5TgQIFVL16dRtktW3bVo0bN1aZMmVUvHhxHTt2zGbjWL9+vRYuXGiDK0ev11dffWUXKg50BFjwpw8k5A516Bt279yjRROmqMiS5ap6EXOJDxQqpEOXRavxTdeoQZO//2jDe/E+9G3Un+9LCuQAy7GW1WuvvWaDrIvheLlXXnlFL774Ym5e2m8QYMGfPpCQO9ShbzGLxK9YvFybfvhFVTbEKSwl5YLPiS9ZUmdbNVWb3tepSvXK+VJOXBreh76N+vN9SV7QnslN+9z1FID/M2LECDVo0EADBw7U4cOHL3i8WbBr9OjR6tWrV25fGgAAjyfGaN6uhd3MEMLff5ilI7/+rjrnGUIYefSo9Os8Hfx1nhaVL6fCl7dSh97dFBbOlyMA4A9y3YPlYNKtf/7555oyZYoWLVpk/9A4lCxZUu3atdMNN9yg/v37q3Dhwu54Sb9BDxb86Rsf5A516B91eOLoSS2cOEWFlyxXtePHL/ic0wULaku1qirX+XJd0b2TQgsVypeyIme8D30b9ef7kgJ9iOC5mLlXZjOLdRUtWjQvXsJvEGDBnz6QkDvUoX/VoRlCuHLxCm2cMksV1m9URHLyBZ+fGBys3fVqq+Z1ndSiQ2vbS4b8xfvQt1F/vi/JC9ozuWmfu/yp/e233573cZMZsFKlShcMrj755BNXiwAAgFczwVGzds3V5/V/6vJJn+rIw/21rmaUTp4naApPSVH02lgVfmuUZt3yoCYMj9GGNRvytdwAANe53IN15ZVXau7cucotk31w+/btCmT0YMGfvvFB7lCHgVGHx48d1++Tf9HxeYsuKuW7IznGmeaN1eLGaxRVJ8pt5UV2vA99G/Xn+5ICNcnF/PnzbbIKE2gVK1bMpXW0JkyYoF27drlaBAAAfFLxEsV13V29pbt6a9+e/Vr47c8quGS5ahxJPOdzbHKMOfN1bM58TS4VrrSWTdS6ZzcyEQKAl3E5wDLjygcMGODe0gAAEGAqVCqvXgPvkXSPNq3fpBXfTVfYyrWqlCFZVFY1TSA2c64OzZyrxWXLKLh1M7XteY3KVyyfr2UHAORBmvbc5si42PWzAADwd3Ua1LGb+RLzr/l/avPPv6nShjiVOkdyDDOTq87BQ9LUmdo9daZ+r1Behdu10OU9r1WpiFL5Xn4AQC4DrMqVK6t169YqXrx4jo///PPP6t69e45BWWJiohYuXKiEhATqAQCALMkxWnZobbfks8laNOsP7f71d1XdvE0lU1PP+Qe97r790vc/a8vkadpSqaJKXNFaV9x0jUqUzPnvNADAiwKs8uXLa+PGjSpSpMg5j2nbtq3GjBlzzscPHTpkk1wAAICchYSGqEP3TlL3Tjpz6owWzJij/bMXKHLbdhVLS8vxOaHp6aq/e4/0zWTFTvxRWytXUsn2LdX+hs4saAwA3hpgdezY8bzB1cUM/ytTpoxq1qzpahH8ihkOEh8f77xv1g8zGwAADoWKFFKnntdKPa/VieMnNH/Kbzry+yLV2Llbhc8RbJn9DXbukr7ZpY0TftC2yhVVvF1LtevRmWGEAJCBGWFnNiM5OVlBQUHK1zTt5kVDQkLOe0y7du3sMMALBRaBvoiiSQN58OBBuzkMGTJEQ4cODbiUmMgd6tD3UYe+zxN1eDTxqP74caaOz1+iWnv2KeQi/rSfLVBAWyuWV5E2zdXuxq6KKBuRL2X1BbwPfRv15/uSPNQmNW3vYcOGOe+XLVtWBw4cyL8A62JcTICFvwMsE2hOnz7doz1YfCD5PurQ91GHvs/TdXj40GHNnzxDZxYuU839By5qqEqKpC0Vyiu0dVO1uaFLwGcj9HQdIneoP9+X5KH3YMYerK5du9oerNjY2PzPIgj3ML14kZGRXE4AQK6ULlNaN9x/h3T/Hdq/d78W/zRLZ5esUM19+8/5R9+ZIOPHGdr94wz9Ua6sgsw6Wzd0VaWqFakRAAEhPEMHx4VG6p2Py2Pzvv32W7nDp59+6pbzAACAzMy6WDc+eKdu+fJdVf/qfW3v1V0bKlWwwwN1nmCrzoGDqvnzLO1/8Bl9d9fj+nbkZ9q6aSuXFwDycohg+/bttWDBglwPETRZBLdv365AHyJorFu3zqPloEvd91GHvo869H2+UIdHEo5o4ZRfdXzhn6qxe68KXWRTYHuJEjrZqL7qd+2ohi0a+e0cal+oQ5wb9ef7krzgPZib9rnLQwQXLVqkd999V9dee61KlCiR4zFnzpzRzp07c1yM+OjRo/r++++1a9cuV4sAAABcYBYh7t7/Fqn/LUpKTNKCKb/q6II/VWPXnnNmIzSqHzsmLVxqt18LF1ZCvVqqflV7tbqyrYJDmHUAALnqwTLfWl0oDfvFSj3HoomBgh4s+NM3Psgd6tD3+XIdHjt6XAt//k1H/liiyB27VPQ8wVZGR0KCtScqUmWvaKV2116posWKypf5ch2C+vMHSYHag+WQ2ySE7grSAABA7pQoWVzX9LlR6nOjXWdr4fQ5OjT/T1XZtl1hKSbXYM5KJaeo1KbN0qbNWj3mG8VXqaQSbZqr7fVX26QbABBIchVgmflTLVu2VNGiRS85KDNDBBcvXqz9+/fnpggAACAPFCteTF1uuV665Xoln03W0jkLtWPuQpXZsFnlz5w55/NMr1eDHbukHbsUP/FH/VaurAo2baim3a5SjTo1qCsAfs/lAKty5crauHFjrlIYmjzzVapUcfn5AAAg74WEhqj9NR3tZtZtXL10lTbOnKdi6zao2rHj53yeTf9+4KD0yxwd/2WOfi5eXMfq1VJUp/Zq3r4l87YA+CWXA6wOHTrkKrgyTJ75mjVr5uocAAAg/5g52E3aNLWbsXnDZq38ebYKrlyrGgmHz7v+S9Xjx6VlK+22wMzbiqym0m1aqE23jgoLZ84TgAAPsMaNG5fp/okTJ3T8+HGVKVPGrnp8sZYtW+ZqEQAAgIfVqlfLbsbe3fu0dOqvOrN0paL27T9v+nc7bytuqxS3VXFfT9I2s7ixGUp47VWKqhOVjz8BAHhJgOUIoqZOnarBgwdrzZo19n7hwoV1/fXX69VXX1WtWn9/4J5PbnvBAACAd6hYuYJd2FgP3mnTvy/6eY6OLP5LVbbvPG+SjND0dNXdf0CaMVvHZszW1OLFdbx+bdW4qp2aX95KQcEX/8UtAPhsmnZj0qRJ6tOnj01akfE0JjOgSa04a9YsNW/e3F1l9VukaYc/pTVF7lCHvo86zC4lOUXL/liibXMWKmzDZlU5ceKir+eRkBA7lLBUq6ZqfW1Hu4ZXXqMOfRv15/uSvKA9k5v2ucsBlskCGBkZaRNVGMWLF7cX4vDhwzp16pTdV61aNa1du9Y+hrypQH/7ZUbuUIe+jzr0fdThhZl5W6umz1X6qnWKOnhIIRfZFDF9YNsiSiu1YV3Vu+pyNWzRyM4Jczfq0LdRf74vKVDXwRo7dqwNrvr27asXX3xR9erVs/tNdqEFCxboueee05IlSzRmzBg99thjrr4MAADw43lbRxKOaPGMuUpcvPyCQwlNo6V2wmFp3iK7zQ0N1f6oairdqplaX9NB4aXD8/GnAAA392D16NHDRpZff/11jo+npKToqquuspkCp0yZ4spLBAx6sOBP3/ggd6hD30cd5m4o4Z/zFit+3iKFbYhTlRMnL/65pnerTITSGtVXvavaK7pZtMu9W9Shb6P+fF9SoPZgrV69WtOnTz/3iYOD9frrr+vRRx919SUAAEAACQ4JVtvOl9vNiFsfp9W/zFPa6vWKPHDwvFkJbe/WoQRpznylz5mv2YUK6WBUdZVp00ytu3ZQyfCS+fiTAAhkLgdYZihggwYNzntM+/btlZycfN5jvv32W918882uFgMAAPip2g1q2804dvS4lsz6XQcXLVeZrfEqf/r0eZ9b7swZlduwSdqwSXFfTbC9W+mN6qluh7Z5NncLAHIVYF1Mt53JJliiRInzHmNSvBNg/R2wxsfHO6+LGVppNgAAIJUoWVyde18n9b7O/s3cuHqD1s1eIJnerYOHbKr3czFJNOocPCTNnm+3eSEh2letiko2b6ymV1+uSlUrcokByOSXcCTwM51El7K2r1sCrDNnzlzUcampqed87K+//tKWLVtcLYJfSUhIUFTU/y+sOGTIEA0dOtSjZQIAwBuZ3qf6TRrYzTiaeNT2bh1avEJlt8bb3qvziUhOVsSWbdKWbTo08Uf9VaKEjtepoSptW6jFVW3y6acA4G1iYmI0bNgw5/2yZcvmb5IL8+EWERFxwR6qPXv2qFKlStn2nzhxQocOHbpgEBYIzCQ6821cxjltnujB8oYJhcgd6tD3UYe+jzr0LPP3NHZlrNbP/kMF1mxQ1KGEi04Db5wuWFDbypZRUOP6qt+xneo3qc9wQh/De9D3JXmoTZqxB6tr1662Bys2Njb/erAMs+aV6Xm50DDBjEPfcnocfwesZl0xAACQu7+nJoOg2YykxCQtmTFPCX+uVJltOy44d6twWprq7z8gzTqg1FnzNKdQqA5Ur6qw5o3VomsHlSvv2jfaALxfxg6OkJAQl88TnNsPsXLlyik0NPSSnmc6zY4fP24DNAAAgLwSFh6mrrffIN1+g+3dMoscr/1tgZJXr1f1vftVNC3tvM8ve+asym7aIm3aoj3jJ2tRWJhO1Y5SpdbN1OLKNiparCiVB8A9AdZll12mOXPm5GoYm0n13rJlS5efDwAAcClfDNdpUMduxtkzZ7Ts96XasXCZCm/crMjEJJ0vt6B5LCopSVq20m7rPh6j7WbtrXq1FNm+pZq2aaaQUNe/9QYQ4AFWr169cj1HqHHjxqpd++/0qwAAAPkptFAhtetyhd2MA/sP6q9Zfyhh6QpV3Lnb9l6dTyFHdkKz/bFYS4OCtKtCOQU3rKd6V7Rh/hYQoFwOsAYOHOiWAkybNs0t5wEAAMgNM7+q2529lNTjapvEy6SCXz9noVLXxqr6/oMqcoHhhCVSU1V/915p916l/jJH80JDta9KJRW7rIEaX9VOkbWYaw0EApcDLDM88Kabbsp1AapVq5bp/o8//qgbb7wx1+cFAABwVyr4U6dOadmcxdq9+C8V3rxN1ROTdKEVciLOnlXE1nhpa7yOTp6mX4oU0eHIqgpv1kjNOrVT+YrlqSDAD7mcpr1Vq1ZaunSp2wvUrl07LVy4UIGWpt1Yt26dR8tBWlPfRx36PurQ91GHgVGHhw8d1rLZC5SwbLXCtm1XlRMnL+k1TF/YTrP+Vo3qKtOsoZpd2VYRZSNyWXIYvAd9X5IXLB2Um/Z5rrIIAgAABKLSZUqr6609JLOZYCl+l1bNWahjK9eq7I7dF1zs2CTMqH7smLRqrd12jvlGC0qW0IkoAi7A17kcYO3YsUMpKSkKDnZfjHbgwAEdPHjQbecDAADID1Ujq6jq3bdKutWmg49bH6f1cxfpzJoNqrx3n8JSUi4YcEUezRpwldSJGtVUtlljNbuyjQ3qAHi/4NwEQyYDYFRUlFsKYj6MTBdckSJF3HI+AAAAT83fqtuwrt2M1JRUrVq6UlsW/Cmt36RqBw9dMGHG3wHXUWnlWrvt+PK/mk/ABfiEXHU/bd++3W7uVKVKFbeeDwAAwJOCgoPUrF1zuzkSZiz/40/tWrpSQXFbVf1Qgk35fj4EXEAABFhjxoxRXihWrFiuz3Hs2DG9/fbbNsths2bN3FIuAAAAdzCjddp37SCZTdLJEye1YsGyXAdcC0zSDJOlsHF9Ne7QWpWrVqLCAF8KsP7xj3/I25w9e1ajR4/WiBEjdOjQIXXq1CnH43799VeNGjXKDm/ctGmTGjVqpGHDhik0NDTTcfv27dOLL75oPwhPnjxpz/nWW2+pXr162YY3mtf9/fffVb58ecXGxqpv377q379/nv68AADA9xUtVtQtAZdNmrFmvd0S/vOd1pq08GYdroZ1Va99C9WqV8sOXwSQt/wqi+CaNWt0++23a8WKFfrqq69yPObf//63HnzwQa1atcrOITOJOjp37qzevXvbNbgcHzx79+5V69at7bEmyDI+//xztW3b1qanN891eOCBB+y+JUuW2GDMPLdx48Y2YcczzzyTTz89AADwB+4IuIyKp06pYtwWKW6LTk+eZhc+3l+xvELr11bNNk0V3bSRgkP8qikIeAW/elc1b/732ObIyJxXSjc9UiYY6tevnzNAMlkQhwwZYnu7TPDl6Jl75JFHbA7+p556yvn8e++9V6+++qo9h1lo2TBB2RdffKH//Oc/zgQdFStWtM83gVnPnj1Vq1atPP/ZAQCAf3JXwGUXPt6+UzLbjNlaEhSk3eXKSHVqqFrLJrqsbTOSjQFu4FcB1oV88sknOn36tLp165Zpf8eOHVW8eHGNHDnSBljbtm2zgVOPHj1UuHBh53EFChSwzzXDAVeuXKkmTZooJibGPnbttddmOmf37t01fPhwffTRR85jAAAA8iLgWrnwL+1atkoF4rapyoGDKnaBLIVGidRU1du7XzLbvEVaU6CAdpYupeSakSrftJGaXN5CpSJKUWHAJQqoAMvR6+RYmdnBDAts0KCBHea3Z88ezZs3T+np6dmOM8x8LWPatGmqX7++Fi5caHusSpcufc7jCLAAAEBeBlztulwhmU1SSnKK1vy1SlsXr1By7GZV3LdfpZKTL3iewunpqp1wWDLb0uXa/slXWlC8uI5VrawS0XVUt00z1axXk3lcwAUEVIC1YcMGe2sCoqwc+8xaXBd7nOnpMok1cjrODBcMCwvTli1bdObMGRUqVOi8ZTPH5RTQOV4LAADgYph5VU3bNLebIxnXpnWbtHHhMp1ct0kRu/aowunTFzyPmZVe7fhxKXaj3U59O0W/h4Rof/lyKlgnStVaXKbGrZswrBA+Lfoc7W/TNq9Zs6ZL5wyoAOvIkSP2tmjRoudMD5+QkOCW4xzHmnlc5rgKFSqct2ymx8x8AObEnCM/mPT28G3Uoe+jDn0fdej7/LEOK1arqIrVejjv796xR5uWrtTx9XEK37lbVY6fsAHVhZROTlbpXbsls82er3UFCmhHeJhOVq2ssAa1Va/VZSpXsZw8yR/rL9Acy8c6PFf727TNXRVQAZbpRTI9TmYuVVaO7IHmYjp6m3JzXNZjL8QkwvCGnirT6wbfRh36PurQ91GHvs/f6zCsUZgaNKrvvJ9wMEErfl+igyvXqfDW7aqamKTQi2i/mGNqHUmUzLZ6nU5984MWm/TwlSqocL1aqtW6mRo0aWAXW85P/l5/gSAsn+rQLK90KT1bFyOgAizTi2QiYrOCetYFjc06V4aZS+XobTLHZXWxxzmONcFXqVJMEAUAAN4romyEOve+TjLb/xJnrF6yQjv/WqO0uK2qsP+ASiWnXNS5bHr4LdukLduU/vMsLQ4K0p4yEUozyTMuq6/GbZurdJnMc9cBf+LRAMv07JhFezdu3Jgvr1etWjXFxcXZdO1Zx1SafYZJdmHWr8q471zHlStXzmYZzOk401NmhgaaxYwzZiIEAADwhcQZbTq1t5tjGNXmDZu1cdFyHV+/SSV37lHl48cvalihyVZYd/8ByWwLl2rX6K+0pFhRJVasoMJ1ayqyeUM1bNZYIaEhef5zAT4ZYA0YMMCmJr8YL730kjZv3qz8cvXVV+u3337T+vXrMwVYJtAzw/Pq1KmjqlWr6qqrrrI9T+a4nBYzNszixGYNrQ4dOmjWrFk6evSoSpYs6Txu7dq19rzmOAAAAF9mpj3UaVDHbg6HDx3WqgV/af+qtQresl1VEg6r6EWkhzcqnzipypu3Smb7eZaWFyyo3aXCdaZ6FZWOrqv6bZqpWlTVPPyJAB8KsD777DM9++yztrfoXPbv368HH3xQP/300znnL+WFu+66S0OHDtUvv/xi17hyMKnWTSIJE/AZlStX1nXXXWfTupueqNDQUOexM2bMsCnY27Zta+/ff//9mjlzpt1uvvlm53HTp093Pg4AAOBvzDC/q27sIplNUvLZZK1bvlZbl67QmY1bVGbvfpW/iGyFRpG0NNVypIhfvlqJ/56kzaGhOlC+nIJqRapyk2g1btNUxUsUz+OfCvDCACs5Odkuxvvdd9/Z4X9ZjR07Vk899ZQSExOVVw4cOJDj3CgTOL3xxhs2kHryySdVo0YN2+Vtgq4WLVrosccecx77/vvvq1WrVnYNKxMwGuPGjdPOnTttL5iDCapuvPFGvfbaa7r++uvtcEDz+h9++KEGDhxozwsAAODvzBC/Jm2a2s1hZ/wurVuwTEfWblDhHbtUJTFJhS4yO1uZs2dVZucuyWxz5muTpF0lS+hE5UoqXr+WarW4THUa1s33BBrAhRRIz00OwhyY3h7TOzVx4kQ999xzNpAxduzYoQceeMAOpzMvWaVKFd1777168803nYkjcssM35s8ebLeeustnThxQk2bNrWv2bt3b5UtW9Z53DfffKMxY8aobt26tlyRkZF65ZVXVKJEiUznM/O1XnzxRRUvXtwOB9y9e7cNxlq2bJktqHz99df1559/2jlXZh0t00NmhkteTA+dI0uJp7MIml48su74NurQ91GHvo869H3UYd45c+qMXQR5x/K1OrNpq0rv3W+TYrjqWFCQ9kaUVkq1yirdoI7qtWqiEqVKkGDMxyV5QZs0N+1ztwdYpifnhRdesMHIoEGDbG9O9+7dNWLECB0/ftwGHCboMUGQCWhGjx6thx9+WIGMAAv+9IGE3KEOfR916Puow/y1f+9+rV20XAfXbFDQth2qlHDYJsZwVUJIiA6ULSNFVVW5hvXUoNVlKl+xvFvLDP9/D0Z7U4C1evVqNW7c2P7fBFmdOnWyiSzMy9SuXVuffvqpOnbs6M6X9HkEWPCnDyTkDnXo+6hD30cdelZqSqo2rt2gzX+u0okNm1V8115VOXZMuRkIuK9wYR0uV1ZBNaurYqP6atSmicLC+XvprbzhPZib9rnb52Bde+21WrRokcaPH2/nO5l1p0xPlcnMt2fPnkxD9QAAAICMzJyqBk2i7eZwNPGo1ixZoT2r1ittc7zKHTioiLNnL/rCVTh9WhV27JTMNme+tn0g7SlWVEkVyqtQ7ShVaRKths0b2fT0QG65PcAya0KZ5BGG6bUy2fg++eQTm2BiypQpNgC777777DBCM6/p119/JZU5AAAAzqlkeEm1v6ajZLb/rcu1c9sObVi6SofXb1LIjt2qdPiIil/k0EKzfleVEydV5X8LImvGbG2wSTRK6kTlCipaO0rVmzRU/csaqFCRQtQMPL/QsAmsSpcurZEjR6pfv37O/SbxQ5s2bewcrCZNmtgEEibTnmNhXwAAAOBi1uWqXjPSbhmHFm5av0mxi5bpzNadKrxrryonJqrwRc6GMY3iyKNHJbPFbpJ++kVrChTQ7pIldNIsilyzuqpd1kD1m0bT04X8D7DMHCszRLBChQrZHjNDBE2mvy+//NKuEZU1lToAAADgytDC+o3rq1L1Ss75O2ZtrvUr1yp++Vqd3LRNxfbsVZWjxy66ARyanq6opKOS2TZssosim56u3SVK6HjFcipUM1JVGtVTg+aNWKMLeRdgmZ6radOmqUiRIuc97p577lH9+vV1xRVXuLsIAAAAgF2b67JWTe3mcOL4Ca1btlo7V63X2c3xCtu3X5VOnLTDBi+28Vz92DHJbJu2SNN/s2t07S1eXEfLl1Vozeqq1LCeols0tkMbEXjcHmCZLIEXCq4c2rZtq8GDB7u7CAAAAECOihUvplZXtrWbQ+LhRK1dukp718Qqdct2lT5w0CbGuJQGddXjxyWzmTldM+dqqwm6ihVVYrmyCqlRXRWi6yq6ZWOViihFzfg5t6dpvxR//fWXmjdvrkBHmnb4U1pT5A516PuoQ99HHfo2d9VfwsEErf9ztfat36jUrTsUfuCQKp08mevz7i1SREfKllHB6pVVpl4t1W7aUJWrVbLzyuA970GvStN+sc6cOaOHHnpIf/75p6eKAAAAAOQoomyErrjuKslsGXq6zPDCves2KnnLdoXtP6iKJ05c0hpdFU+dUkVHyvg/FuuIpK0hwTpQqpRSqlRUyVpRimzcQHUa1rFDHOF73B5gmYWFL8Sk1tyyZYtdF4teLAAAAPiC8NLhat+1g2S2/zl29LjWLVulPWs36syWeJXYd0CVjh2/pEZ2qeQUlTpwUDLb8tVKnfijVhQooL0lS+qkSaYRWVWVGtZV/WYNWSA5EAOsuXPnqkCBAjZV+8UYNWqUzSgY6EzQGR8f77wfHh5uNwAAAHivEiWLq02n9pLZMiTSWL98rXat2aDTm7ep2N4DqnzsmEIuYWaOSS8flZRkxstJG+LsWl3bnUMMI1SwWhVF1KtphxhWqV6ZIYZukJiYaDcjOTlZQUGX0jeZx0MEzeLCTZs2PWehduzYoWXLlmnIkCEqVqxYXhTB5yQkJCgqKsp531yboUOHerRMAAAAcC2RRssOre3mcObUGa1bsVY7V6/Xya07VGjPflVMTFSxtLRLOvffQwx3SWabv1gmHIgPDtaB0qWUXLmiStSKVLXouqrbqB6LJF+imJgYDRs2LNPyUl6R5KJixYrau3fvBY9788039fvvv2vKlCkBH3GbSXSmB2v69Oke7cHyhgmFyB3q0PdRh76POvR91KFv86X6M4sjb920VVtXrdeRTVtVcOduRSQcVtkzZ3N97hRH6viyEQquVlkRdWqo1mUNVCWyite3vZM8VIcZe7C6du1qO4tiY2M934P1/PPPX9RxTzzxhF5++WUbaF3sc/yZ+UWPjPz/1cgBAADg/4sj125Q224ZHdh/UBv/Wqv9sXFKjt+pEvsPqtLxS5vXlSl1/Lbt0ryFtrdrZ1CQ9oWH6WzF8ipi5nY1qK16TaJZs0uZOzhCQkJ8M0171apVbeG3bjUrBQQu0rQjEL+1Q86oQ99HHfo+6tC3+Wv9nTxxUhtWxWrn2g06uWW7Cu3Zp4pHLn2I4bnsK1xYR8qUVnrligqvFaXqjeqqdv3aCg4JDsg6jPbFNO2zZ8/W7t27VaJECU8VAQAAAPAJRYsVVbN2ze2WcYjhts3btGWFGWK4RQV27lHphMMqf+bMJZ/fLKxcYdceyWxL/lKypOUFC2pvieI6aRZLjqyicnVqqk7TaFWoVN7NP51/cXuAdc8991zwmP3792vWrFk222CTJk3cXQQAAAAgIIYY1qpXy24ZHT50WBtXrte+DZt1ettOFdp/QBUTky65t6twWpqiko5KZovbIs2apwOSNoSE6FB4mJIrlFOR6lVUoV5N1b2sgUpFlHLzT+ib3B5gjR079qLTtBcvXlzvvfeeu4sAAAAABKzSZUqrbefLJbNlXBJoc7y2rt6gw5u2Km3nHpU8dEgVT5y8pIWS7fmTk1X64CHJbGvWS1OlnabHq1CoDoeHK6ViORWLqqaKdWuqbuP6ATe/K0+GCNarV0/NmjVTcHDOpw8NDVXNmjXVr18/m3UQAAAAQN4mVKtRp4bdss7t2rgmVrvWbtLxrTsUvGefyh5JtEHUpTLZD8vuPyCZbeVau8+s8rrfzO8qFa7USuVVIqqaKjeopToN69l09v7I7QFWmTJltHLlylxl3gAAAACQP3O7mrZpbreM9u7ep7iV63Vg4xYlb9+lYgcOqsLRY3YB5EtV/vRpld+7TzLbX6vsvk0mW2KRIkqMKKX0ShVUskZ1VWlQS3Wj68nXuT3AmjhxIsEVAAAA4MMqVq5gN3Xv5NyXkpyiuNg47Vi3SYlbtit9116VTDisCidOXHJQEeRYNHnXqb8TayxdbvebnH37ihbV0TKldcO7L9sAUIEeYF155ZWXdPxVV12lOXPmuLsYAAAAANzIpGyv37i+3TI6c+qMNq3bpJ2xm3R06w4V2L1PYYePqPzJS5/fZYKTKidPKnHPWRUuUtgn689jadqN+Ph4LV261JNFAAAAAJALhYoUUqMWjeyW0YnjJxS3dpN2xcbp+LYdKrhnn8IPJ9qU8BdyMDzMzhsLmADr5MmTNr16SkqKyy+cnJxs07Wnpqa6fA4AAAAA3qlY8WJq0qap3TI6mnhUm9Zu0J7YzTqxbaeC9x1QqSOJKpdh/a6z5cvKV7kUYBUtWlRVqlTR3Llzc10Ak9IdAAAAQGAoGV5SLS5vJZktgyMJR7RpzQbtWLVeUY18N9mFy0MEe/TooU2bNumJJ56wmQMv1alTp/Tzzz9r2rRprhYBAAAAgJ8oFVFKra9sq3pNGygsLEwBF2B16dJFBw4c0FNPPeXyi99zzz2qVKmSy88HAAAAAG/i8syxhg0b2iArN8yCwyNHjszVOQAAAADA53uwevXqZW8/+ugjO4/qmWeeUZs2bS75PP369XO1CAAAAADgHwHWDz/8oEKFCmnEiBE2SCpXrpx7SwYAAAAAgbQO1r333pttDtZNN92klStX6ujRo859ERERaty4sb777rvcvJxfS0tLs+uCOYSHh9sNAAAAQN5LTEy0m2NJqaCgS10m+W+5Wr2rdevWOfZsxcXF6f7777cFfPLJJ7Vx40aCqwtISEhQVFSUc4uJiclN1QAAAAC4BKb97WiLm3jGtM9dUSA9PT3dlSealZWnTJmi7t27nzMNu0nfboKskJAQlwoXKKKjo20P1vTp0z3ag5WUlOTTKTFBHfoD3oe+jzr0fdShb6P+fF+Sh9qkGXuwunbtanuwYmNj83eI4PkCpyJFiqhevXoEV5cQsEZGRuamOgAAAAC4KGMHR246iHI1RPBCTBIMAAAAAAgUeRpgXYzevXt7uggAAAAA4PkAy8XpW05m3tG8efNydQ4AAAAA8Ba5moP12Wefad++fXah4ZwcPHhQ48aNy/GxEydOaMaMGTpy5EhuigAAAAAA/hFgTZ482W7nc/fdd5+3B+xcwRkAAAAABFSAldshggAAAADgT3IVYN1www02R3yxYsUuOTAz+e3NEMGZM2fmpggAAAAA4PsBVkREhH744YdcvfiAAQNUvnz5XJ0DAAAAAHw+i+DNN9+c6xc3qyObXjAAAAAACOgAa/To0W4pwJdffumW8wAAAACAAn2hYQAAAADwFwRYAAAAAOAmBFgAAAAA4CYEWAAAAADgJgRYAAAAAOAmBFgAAAAA4OmFhuFeaWlpio+Pd94PDw+3GwAAAIC8l5iYaDcjOTnZrtnrCnqwvERCQoKioqKcW0xMjKeLBAAAAASMmJgYZ1s8Li7Ots9dQQ+Wl4iIiNDSpUud9+m9AgAAAPLPoEGD1L9/f/v/rl27utyDRYDlJQoWLKjIyEhPFwMAAAAISOEZpuiEhIS4fB6GCAIAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmwS760TInbS0NMXHxzvvh4eH2w0AAABA3ktMTLSbkZycrKCgIJfOQw+Wl0hISFBUVJRzi4mJ8XSRAAAAgIARExPjbIvHxcXZ9rkr6MHyEhEREVq6dKnzPr1XAAAAQP4ZNGiQ+vfvb//ftWtXl3uwCLC8RMGCBRUZGenpYgAAAAABKTzDFJ2QkBCXz8MQQQAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwKsLDZv3qz9+/e76/oCAAAACCDBCmDPPPOM3nnnnUz7atSoYYMsh19//VWjRo1SVFSUNm3apEaNGmnYsGEKDQ3N9Lx9+/bpxRdfVJEiRXTy5EkdOnRIb731lurVq5dvPw8AAAAAzwrYACspKUmTJk3SNddc49xXoEAB9e/f394a//73v/Xggw9q1apVql27tlJSUtS5c2f17t1bP/74owoW/LsDcO/evWrdurU91gRZxueff662bdtq6dKl9rkAAAAA/F+B9PT0dE8XwhPefPNNBQUF6emnn87xcdMjZXqt+vXrp08//dS5f86cOerUqZPGjh2rf/zjH3Zfz549NXv2bDu0sHDhwnafuaymNywyMtI+53yio6Pt7bp16+TpoDMsLMyjZUDuUIe+jzr0fdSh76MOfRv15/uSvKBNmpv2eUDOwTp79qzef/99e/vnn38qLS0t2zGffPKJTp8+rW7dumXa37FjRxUvXlwjR46097dt22Z7s6688kpncGWYXjDz3Llz52rlypX58FMBAAAA8LSADLC+/vprO6zPDOdr1aqVKlWqpDfeeMMOAXRw9Do5olcHMyywQYMGdtjgnj17NG/ePNtblfU4w8zXMqZNm5bnPxMAAAAAzwvIOVimt2nKlClav369fvjhBy1atEjPP/+8Fi5cqMmTJ9uhgxs2bLDHVqxYMdvzHftMl+HFHnchW7ZsyTFIu9jnAwAAALg052p/m7Z5zZo15YqADLDM3CizXX/99Xr22Wc1c+ZMO5/KBF0xMTF66qmndOTIEXts0aJFsz2/WLFi9jYhIeGij7sQ0wuW01BFxzjU/HDs2LF8eR3kHerQ91GHvo869H3UoW+j/nzfsXxsk56r/Z2bNBUBGWBl1bVrV/3yyy9q0aKFvvzySxtgFSpUyM7RcmQUzMiRPdBceHOccaHjLqRWrVpe0VPl6QmFyD3q0PdRh76POvR91KFvo/58X1g+tUljY2MvqWfrYgTkHKycNG7c2CalMEkrjAoVKtjbU6dOZTvWrHNllC5d+qKPAwAAAOD/CLAyqF+/vl0o2KhWrZozXXtWjn0m2cXFHgcAAADA/xFgZWCyAjZr1sz+/+qrr7a3JhFGRma4nxnKV6dOHVWtWlVXXXWVHR6Y9ThjzZo19tYsTgwAAADA/wVkgJXTcD6TiGLq1KkaNGiQvX/XXXcpNDTUzs3KyGQaNEknHnjgAXu/cuXKuu6662xadzNnK6MZM2bYVO1t27bN058HAAAAgHcIuABrxYoVKlGihB2251jrymQqMVkETXKL7t27OwMnszbW2LFjtXXrVmeWkaFDh9pkGI899pjznGbRYtOLZTIQOowbN047d+7Uv/71r3z/GQEAAAB4RsBlEaxdu7b69Omj6dOn254nM8TPDPVzBE4ZPfHEE3Ytq4cfflh169bVjh07bEaRV155xfZuOZgc+YsXL7YLF99zzz0KDg7W7t279fvvv6tly5Ye+CkBAAAAeEKB9NwkeYdbONJAejpNuxn6SFpT30Yd+j7q0PdRh76POvRt1J/vS/KCNmlu2ucBN0QQAAAAAPIKARYAAAAAuAkBFgAAAAC4CQEWAAAAALgJARYAAAAAuAkBFgAAAAC4CQEWAAAAALgJARYAAAAAuAkBFgAAAAC4SbC7ToTcSUtLU3x8vPN+eHi43QAAAADkvcTERLsZycnJCgoKcuk89GB5iYSEBEVFRTm3mJgYTxcJAAAACBgxMTHOtnhcXJxtn7uCHiwvERERoaVLlzrv03sFAAAA5J9Bgwapf//+9v9du3Z1uQeLAMtLFCxYUJGRkZ4uBgAAABCQwjNM0QkJCXH5PAwRBAAAAAA3IcACAAAAADchwAIAAAAANyHAAgAAAAA3IcACAAAAADchwAIAAAAANyHAAgAAAAA3IcACAAAAADchwAIAAAAANyHAAgAAAAA3IcACAAAAADchwAIAAAAANyHAAgAAAAA3IcACAAAAADchwAIAAAAANyHAAgAAAAA3CXbXiZA7aWlpio+Pd94PDw+3GwAAAIC8l5iYaDcjOTlZQUFBLp2HHiwvkZCQoKioKOcWExPj6SIBAAAAASMmJsbZFo+Li7Ptc1fQg+UlIiIitHTpUud9eq8AAACA/DNo0CD179/f/r9r164u92ARYHmJggULKjIy0tPFAAAAAAJSeIYpOiEhIS6fhyGCAAAAAOAmBFgAAAAA4CYEWAAAAADgJgRYAAAAAOAmBFgAAAAA4CYEWAAAAADgJgRYAAAAAOAmBFgAAAAA4CYEWAAAAADgJgRYAAAAAOAmBFgAAAAA4CYEWAAAAADgJgRYAAAAAOAmBFgAAAAA4CYEWAAAAADgJgRYAAAAAOAmwe46EXInLS1N8fHxzvvh4eF2AwAAAJD3EhMT7WYkJycrKCjIpfPQg+UlEhISFBUV5dxiYmI8XSQAAAAgYMTExDjb4nFxcbZ97gp6sLxERESEli5d6rxP7xUAAACQfwYNGqT+/fvb/3ft2tXlHiwCLC9RsGBBRUZGeroYAAAAQEAKzzBFJyQkxOXzMEQQAAAAANyEAAsAAAAA3IQACwAAAADchAALAAAAANyEAAsAAAAA3IQACwAAAADchAALAAAAANyEAAsAAAAA3IQACwAAAADchAALAAAAANyEAAsAAAAA3IQACwAAAADchAALAAAAANyEAAsAAAAA3IQACwAAAADchAALAAAAANwk2F0nQu6kpaUpPj7eeT88PNxuAAAAAPJeYmKi3Yzk5GQFBQW5dB56sLxEQkKCoqKinFtMTIyniwQAAAAEjJiYGGdbPC4uzrbPXUEPlpeIiIjQ0qVLnffpvQIAAADyz6BBg9S/f3/7/65du7rcg0WA5SUKFiyoyMhITxcDAAAACEjhGabohISEuHwehggCAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbEGABAAAAgJsQYAEAAACAmxBgAQAAAICbBLvrRIHu6NGjGjJkiI4fP66goCDFx8fb+23btvV00QAAAADkEwIsNzBBVYcOHdSyZUt99tlndt+sWbN05ZVXavbs2Wrfvr07XgYAAACAlyPAcoOXXnpJq1ev1tSpU537unTpojZt2ujuu+/W+vXrFRzMpQYAAAD8Ha3+XDp58qTttWrUqJGqVKmS6bHu3bvrueees4HXTTfdJG91fNnbSjmySWlpaUosyLQ8X0Yd+j7q0PdRh76POvRt1J9/1OHxUjVVvNUL8kUEWLm0dOlSnThxQtHR0dkeM0GXMW3atAsGWFu2bMnxHMa6deuUl9JOHVLa8d1//z9PXwn5gTr0fdSh76MOfR916NuoP9+XWqhkvrzOudrfpm1es2ZNl85JgJVLGzZssLcVK1bM9phj38UESOnp6TZaz0lSUpLyUmpKSp6eHwAAALgUqamped4GNs7V/jZtc1cRYOXSkSNH7G3RokWzPVasWDF7m5CQcMHz1KpVK897qs7laHCwCLEAAADgLYKCghQWFpbnrxMbG3tJPVsXgwArlwoVKmRvCxQokO2xgv+bz5SbCDg/FKl/p9LPHLXzyXIKFOE7qEPfRx36PurQ91GHvo3685M6DC8nX0WAlUsVKlSwt6dOncrxl8MoXbq0vFlImb/nip1KSlJoPnxTgLxDHfo+6tD3UYe+jzr0bdSff9RhiA+3SUkZl0vVqlWzt/v27cv2mGNfgwYNcvsyAAAAAHwAAVYutWrVSiVKlLBrXWW1Zs0ae9u5c+fcvgwAAAAAH0CAlUuhoaG66667tHLlSu3fvz/TY9OnT1fZsmXVs2fP3L4MAAAAAB9AgOUGw4cPt0MFhw0b5tw3b948zZkzRx9//LEKFy7sjpcBAAAA4OVIcuEGJonF4sWL9cILL6hv374KDw/X5s2b7QLDXbt2dcdLAAAAAPABBFhuUr58eX3xxRfuOh0AAAAAH8QQQQAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAAAAAHATFhqGFR0drbS0NMXGxnJFfBR16PuoQ99HHfo+6tC3UX++L9oP2qQEWF7C/CLFx8c774eHh9sNAAAAQN5LTEy0m5GcnKygoCCXzsMQQS+RkJCgqKgo5xYTE+PpIgEAAAABIyYmxtkWj4uLs+1zVxBgeYmIiAht27bNuQ0aNCjH40xUPXToUGd07Qvyqsx5eS189dx5hTrM+2uR16jDvL8WeckXP5N8scx5yRevhy+WOS/54vXwxTLnpQuV2bS/HW3x2rVr2/a5S9LhcQ0aNLDbxdi2bVu6qTZz6+4y1KtXLz0v5FWZ8+q8vnpu6jB/rnNe/m5Qh/lzrX2xDn3xM8kXy2xQh/lznflbmD/Xgzp0/XpcSvs8K3qwAAAAAMBNSHLhBXbs2GEn0pmsKRdijjO6du2qkJAQt5Vhy5YtpjfzospwqfKqzHl1Xl89N3WYP9c5L383qMP8uda+WIe++Jnki2U2qMP8uc78Lcyf60Edun49zGeBq3VBgOUFihUrphMnTlzUsSabSdmyZV3OanIuNWvWVF7JqzLn1Xl99dzUYf5c57z83aAO8+da+2Id+uJnki+W2aAO8+c687cwf64Hdej69TDBlWmju6KAGSfo0jMBAAAAAJkwBwsAAAAA3IQACwAAAADchAALAAAAANyEAAsAAAAACLAAAAAAwLuQph0AgIt0+vRpLVy4UNu2bbPrqFStWpVrBwDIhCGCgI8YMmSIrrzySk8XA26wefNm7d+/n2vpQ3bt2qX+/fvr8ssv18GDB9WvXz+CKwBAjujB8mPr1q3T888/r0WLFsksd9axY0e9++67ioyMzHTcr7/+qlGjRikqKkqbNm1So0aNNGzYMIWGhmY6bt++fXrxxRdVpEgRnTx5UocOHdJbb72levXq5fNPFnhWrlyp1157Te3bt8/2GPXn3Z555hm98847mfbVqFHDBlkO1KF3mz17tm666Sb17NnT9l5l/Ww0JkyYYLdq1appw4YN6ty5s5566ikVKFAg03Gm3gcPHqwKFSrowIED9rP5vffeU8WKFfPxJwoM5u/fG2+8cc7Hf/rpJ/Xo0cP+n/eg91q1apVtu5QsWVJJSUmKj4/Xgw8+qDvvvDPTcbwH4VXMQsPwP+vWrUuvX79++muvvZb+3//+N33QoEHpwcHB6fXq1UtPTk52Hjdu3Lj0IkWKpG/atMneN4917Ngx/frrr09PTU11Hrdnz570qlWrpo8YMcK577PPPksPDw93Phd54+zZs+nXXnttepkyZWzdZET9ebfExMT06tWrp19zzTXOzdTlN9984zyGOvRuf/zxR3poaGj6TTfdlJ6WlpbjMa+88kp6hQoV0g8ePGjvHzt2LL1u3brpjzzySKbj1q5dm16yZMn0r7/+2rnvxRdftL8jBw4cyOOfJPA+NytVqmTfb/fee2+mrVOnTulFixZNP3HihD2W96D3WrhwoX3PrFmzxrlv48aNtv6++OIL5z7eg94tLi4uvW/fvul33XVX+g033JDeu3fv9C1btmQ7btasWfaz9oknnkjv3r17+j//+c/0M2fOZDtu79696ffcc0/6o48+mn733Xen9+jRIz02NjbdmxBg+Snzh33fvn2Z9g0YMCDdxNSrVq1y/oIWLlw4/f7778903OzZs+1xY8eOde4zv/DmQ+7UqVPOfaaxERkZmX7llVfm+c8TyIYMGZL+ww8/2EZYxgCL+vN+b7zxRvrbb799zsepQ+929OjR9MqVK6eHhYWdMwBasWJFeoECBdJfffXVTPu//PJL+zk6d+5c576mTZum16lTJ9Nxx48ft43F/v3759FPEZgmTZpk6yAnjz/+uG3gGbwHvdvtt9+e3rx582z7TYO6devW9v+8B73b5s2b08uWLZv++++/O/eZL//NPvOYg7990UGA5YdSUlLSN2zYkG3/qFGjbENg+/bt9v7QoUNtA+D777/PdJz5RS5evHj6ZZddZu9v3brVPs9865DVww8/bM9hPuDgfua6mm98jKwBFvXn3cy3bhUrVrQN76VLl2b6A+FAHXq3N998036+mQb5uZjAyByzfPnyTPv3799v99944432vgm0zP2BAwdmO0e3bt3sCANHDxhyb+fOnTnuN18MmqDZjOwweA96N9OLERERkenLXcd+R4DFe9C7de3aNb1Zs2bZ2qmm179z585++0UHSS78UFBQkOrWrZttv5mL9dBDD9k5AsacOXPsbXR0dKbjChYsqAYNGthxz3v27NG8efPsPIGsxxlmvpYxbdq0PPppAldycrKee+45O/Y8J9Sfd/v666+1d+9eO2+xVatWqlSpkp0PkpKS4jyGOvRu48aNs7elS5dWly5dFB4erjJlyuiee+6xc1Az1qH5zMyoXLlydps5c6ZSU1PPWdeOz1Hze2GOhXtUqVIlx/0LFiywdde9e/dM9cffQe9kEjslJCRo4MCBth1imAyeZl7kgAED7H3eg95r586d9nOtYcOG2dqpZp6qmfu4fv16ffLJJzZDa7du3TIdZ3IHFC9eXCNHjnTW/Y8//mh/LwoXLuw8zsx1Nc+dO3eunbPuDQiwAoRJYmEyX3344YfOfWYitpHT5GrHPpMo42KPg3uZpBb333+/bdDlhPrzbuYPwJQpU/Tmm2+qbdu2NmugmXTfq1cv2+A2qEPvZRp1js+1Y8eO2YB5+/btevbZZzVmzBibov3o0aN2nwnAChUqlOPn46lTp7R161Y+R73EpEmTbMPOJEwweA96NxNEtWvXTp999pn9kuPbb7+1yS3Mlx/m1jTKeQ96r+XLl9tb8wVjVo6OgN9++80vv+ggwPJzplHQokUL+yH1yy+/6Oqrr7ZZeIwjR47Y26JFi2Z7XrFixZyNjIs9Du5jPkxMRsebb775nMdQf97NZAq8/vrrbYPcZJ4z7z+TOc4EXTExMfYY6tB7mbTshvnm9e2331b58uUVFhZm67NPnz5asWKFJk+efM7PRoPPUe9iGmamgd67d2/nPt6D3s30UpjPTtM7YRrit9xyi6655hpnHZ6v/gzeg551/Phxe+tod2bk+PLYZFb1xy86CLD8nGkImA+nqVOn2kDLRP8vv/yyfczxjWvWNMKObw0cf5Au9ji4hxkq9PTTTzu7xM+F+vMtpsfDvBdDQkL05Zdf2n3UofcyS1EYOX1T6vji47vvvjvnZ6PB56h3McMDTWr8G2+80bmP96D3S0xM1NmzZ/Xwww/bJRLMmpCmDk3v1fnqz+A96FnlypWzt3FxcdkecwzxM738/vhFBwGWnzPjXCMiIux4cxNcmXHpZvyqYb5Nd/xyn6txYYa+XOxxcA8zT8d8Q2f+oJhv0R2bGVZ25swZ+3+zJhn153saN25sv4k148gN6tB7Oeomp4ZbnTp17K1p4JkGX06fjQafo95l4sSJduhuxr9XvAe9mxn+16ZNG7vu1ccff6y//vpL9evXtyMBHn/8cVuXvAe9V9u2be0cKjME0DEqIGPgbGQcYu1PX/gTYAUQE/HfcMMNzujekezCNNazcuwzY18v9ji4h5n0aRanrVq1aqbNfDgtXrzY/t/8waH+fJNpHJjFug3q0HtVrlzZ9jaauXNZOf7Im29gzfvRfKaapDQ5fT6aY81wUT5HPcs0ukyPY8bhgQbvQe9mRtyYxrQZGugYsmu+LDbvzy+++MImLOE96L2KFy+uYcOG2S+I+/XrZ+dRmS+Pf/75Z3300Uf2mOrVq/vlFx0EWAHGNBgcEwvNfCzDZHDJ+ofIjGE139KaD66rrrrKfsBlPc5Ys2aNvTWThuEer7/+uv12LutmutrNHxfzfzPEjPrzTeYPTLNmzez/qUPvZb4VNz3J5jMu6zeijgyC5oslU4fmccfcAIfDhw/bujZZsMzn7rnq2jCvYT5jO3XqlKc/UyCbP3++DXh79uyZaT/vQe/2559/ZssIWbZsWdujZRrtW7Zs4T3o5Z588kmNHj3afllVr149+/fPzDM3Izoc70G//KLD03nikX/MOjxmbSvHegK7du1KDw0NtSthZzR//ny77sA777yTac2JUqVKZVtRu3bt2umNGjXKp58gsGVdB4v6824nT57Mtu/QoUP2fTR16lR7nzr0bhMnTrSfhfPmzcu0//3337drA5p16swaZ+aYrAtKf/3113b/t99+69zXsGHD9Ojo6Gy/JyVKlLCLaSLvPPbYY+lXXHFFtv28B72b+Ztn1ksy6xxlFBMTY99fZr0z3oO+59ChQ3ZR4RYtWjgXHjb1+dNPP2U6ztS7WejdsUC7eb+az95evXrl+B4351i4cGG6NyDA8kNmwbYyZcqkX3vttenr1q1zLur21FNPpd9zzz2ZFjx977330osVK5a+ZcsWe988ZhZ+M7/0GYMps9p26dKl7cKbDl999ZVdGG7BggX5+vMFqqwBlkH9eSez6GxQUFB6/fr17UKJxtGjR+0XFRlXnzeoQ+9l/rh36dIlvVWrVuknTpyw+8ziliZIMp+nDmbx4CpVqthGg2GONcdkXZzdfFaaz8wJEyY49w0bNswG3eYzFnnD/F2rVKmSbZTnhPeg9/rll1/sZ+kHH3zg3Gfeg6aNYhYYduA96FueeuopGwxNmzbNb7/oKGD+8XQvGtzLJEK44447nAtcdujQwc4BMEMjzDoSWX3zzTd2XRczdHDHjh2KjIzUK6+8ohIlSmQ6zmSBMYummjG1wcHB2r17t4YOHaqWLVtShfnA1IvZzEJ61J/3p6Y1Ga+mT5+uEydO2GG2ZritWdfMZPPMiveg9zKJLMw8EDP/0cyfM+sJmiEtjzzySKaJ1mY+gcnWaoZWm7TDZnFp83lphgdmtGzZMg0fPtyuC2PObX5XzLDg2rVre+CnCwx//PGH/Tto/r6Z92FOeA96r6VLl9p5PGbOo1kuwQwFM9MSHnjgAdsWceA96DvzzLt162aHDpp1Ih1M5uSXXnpJq1evtm3WtLQ0O0zbJMMwGUDNsG3DDAs1n6/PPfecXTbDMOuimWGjJpW/WTfNGxBgAQAAAMhTU6dOtR0AgwYNskFz1myA/vRFBwEWAAAAALdLT0+3yUref/99GwiNGDFCl19+ud9faQIsAAAAAG43YcIEG2RdccUVNr1+oCDAAgAAAAA3YR0sAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAAAAAHATAiwAAAAAcBMCLAAAAABwEwIsAIDfOn36tNLS0uRvTpw44ekiAADOgQALAPzM5ZdfrgIFCmTawsLCdO+999rHP/vsM5UpUybbMREREXrssccynSsxMVF16tTJdq4///xT3mrXrl0aM2aMbrnlFvtz7tixQ/5g1apVGjp0qBo3bmxv3SUyMtLWa1BQkBo1aqQWLVro2muvlbf56KOPbNmaN29ufwcdv49z5871dNEAIBMCLADwM/Pnz9eECRMy7duyZYu++OIL+//7779f+/btU79+/ZyPd+zYUQcOHNCHH36Y6Xnh4eHatGmTxo0bZ+/36dNH+/fvV8uWLeWNtm3bptGjR9vt22+/9ZuentjYWBs0vv3221qzZo3S09PzJIAx5162bJlmzJghbzNgwABbtr/++stej9DQUE8XCQByRIAFAH7o1ltvVY8ePZz3TVCUUXBwsF5//XXba2EkJSU5/5+TypUrq2DBgnrzzTdVuHBheauoqCi9+uqr+vjjj+XrQXJG9evXV0xMjK677ro8e03zGr6iUqVKqlChgqeLAQA5IsACAD/18MMPO/8/ceLEHIMmx1CwlStXKi4u7pznWrhwoa666ipVrVpVvsAMDfRVhw4d0m233ZbjY8WKFcv38ngrMzwQALwRARYA+KmuXbuqXLly9v9miF9Ow8ruuusu5//Hjh17znP98MMPuuOOO/KopHAwCTnM0M09e/ZwUQDARxFgAYCfMkP+TKIHIz4+PsdkAN26dXP2BJggLKeMe2a+y9q1a9W7d+98KHXgSklJ0X333eeV858AABePAAsA/Fjfvn3P20Nlgi5Hz5bJvjdz5sxsx3z99dd27o/J3JaTjRs36sEHH1Tr1q112WWXqXz58urVq5cNzDIy58iYjbBEiRI2o6GDyfZn5tY4Hn/xxRczPX/79u32dcxQRTO80QxXfOihh7LNL7sY5mf+6quvbIBpEnaULl1a7dq1y5YcxEhISNC7776runXr6uTJkzpy5IgeeeQR2ztorsk999xj9+fEBKzvv/9/7d0PTFVVHAfwSxshiDbDFKYCCpSKTqQmlkxdpjhFKzcbNkLbKi0nln+wLCjTmdOZyvzLivyXNdFKp9TyD/MPza1cU0eyJn8sKzfEoVgmpL/2Pds5u/e+xwPxFf++n+3F4/45795z2Xy/fuf8zjr1GUOHDrWioqJUEIViDW4rVqywiouLze+omIfX7NmzG7yPTz/91EpISLCCg4NV2x9++KHlbzdu3LDy8vLU9eOZovQ9nk3v3r3VkEU866qqKo+/idzcXCs1NdXM7dq/f781evRoq2vXrqrf0tLS1Nw/QCEV9COeK+b4jRw50ueQVSKiVk2IiKhd69u3LyIo6dy5s9TW1jr2Pffcc/LEE0+o/Xjhd7s7d+5IVFSUFBQUeG370KFD0qlTJ5k0aZL8/fffaltxcbEEBgbKgw8+KL/88ovj+IULF5rP2rdvn0d7aOOBBx6Qd955x7H95MmTEhcXJz/88IO5ruzsbNVOr169PD6noqLCfA7e2/3zzz/qPl999VWpq6tT28rKytR94vicnBxz7LJly9R96LbOnz8vsbGx0qNHD+natavZnpmZ6XEvuMZp06ZJZGSk/P7772rb6dOn1XPAOWgjKSlJvbSioiLTpjfTp09X++bPny/vvfee3HfffdKnTx/V3/q8HTt2yN3Q943PdtuyZYtqX7eNZzts2DDp1q2bhIWFme2TJ08259y6dUu2bt0q48aNU/t69uyp+mfWrFly5MgROXHihCQmJpq/N3zGSy+9JMeOHZPvvvtOpk6dqvYNGjRI9WFzrpuIqCUxwCIiaufefvtt80X4k08+MduvXbsmwcHBUlhYKMnJyWp/UFCQVFdXm2PwpReBxM2bN722PXz4cHXeBx984Niuv1wvXbrUsf3GjRvSvXt3tW/JkiUe7VVVVUmXLl2kpqbGbLty5Yr6ku4OHBAoIUhBWxkZGU0OsHBNjzzyiNTX1zu25+bmquMRtFy4cMFs//bbb01bI0aMMIHh7du3TcATEhLi0Uc7d+70CNggKyvLBFhow66pARaCjzFjxkh5ebnpt4EDB6p9I0eOlLvRWKDy888/m2saOnSo5Ofnm+vWQW5AQIBUVlY6ztu/f7857+DBg459CLT0vjfeeMOxD/8TAP2JfadOnWr2dRMRtRQOESQi6qDDBPfu3WuFhoZaY8eOtWbMmKG23bp1y9q1a5djeOCzzz7bYGl2XdUOQ9TsIiIi1M9ff/3V43hd3RDrOrkLb+DzUGLePhwR5ckxTA/X4Z5jhqFkUFBQ0KS+wJA0lJpHWyhVb/fkk0+aYX3oG61fv37mPYYKTp48Wb1H2Xo9jBFDBN0LGuu1wzCUzi49PV39xLpjGBrXHBhm9/XXX6uy9Lpqoh5KePbsWcuf7Pe/aNEi68UXX1T3Dm+99ZbqRzxHDAu0wxBQzV1eHsMNNd2fGv4mY2NjTXVLIqK2xvmvCxERtTuYA4MvtD/++KN1/PhxtRgvvphj/g7KgeMLMoKazMxMFSjk5+erRV0RbGGx3s8//7zBthGIoAAG5i9pV69eNcFGXV2dxzmYN4U1uFB4A3O+UlJSzD4EXfZ5WTp4whf6MWPGeLRVU1Oj5u3o91gY2RcEJZhThLL1RUVFjn0IrHRbOEazrw+G+WV20dHR5j0Wb3744YfN77g/XXbdLj4+XvU5ilpgPldzxMXFWYGBgY5tMTEx6qee1+Qvvu4fgTXmoqHqIe6/qRp7Tno/AmsioraGARYRUQfJYiHAQqYBmZWXX35ZBRhLly412QYUK0AGCcedOXPGKisrU1+uvQU2GjJNI0aMMNkGBEdBQUFmv7fS8Chk8fTTT6vgDMfrAAuFH1DcYtiwYeZYBHzIjOCcU6dO3XM/4N7gzTffVH1wr+xBjrsCI7JKyFCVlpY6tiNYxD4EJO7s1r3Q/e6tz/9Lug+8VaBs7hpWer+3AJ2IqLXjEEEiog5g2rRpZlgXAixkr5B9efzxx80x06dPd2SSduzYYT3zzDOODIY3CCImTZqkhvItWbJEVbKLjIz0eQ6q8OnKchgqB8icvfLKK47jdIbn+vXrlj8gu+bP9nzRQxq/+OILx+f9+eefKquFqottZeFmIiJqOgZYREQdADJAKG8O5eXl1vLlyz0WDsYcJJ1RQXBVWFjY6NpXR48etR599FErLCxMze9CZqYp8Fn9+/e36uvrVTCH0t8ItuzzxexZGQzZ++2336x7pdtzZ5X+C6+//rpahwzXjnlLtbW11u3bt9W8JfQT7puIiNofBlhERB2EPaDCfCV3MIMMl96GTA8KUvgaHojhe5jDhQBi3rx5d309utjFRx99pLI8KLbhXmsL61PpYgnIujUEc4BWrVrV6GfqOVNfffWVyiQ15P333zfZrubCPCvM9cJwyAsXLljJycnW8OHD1XYUotDrQxERUfvCAIuIqINANkpncBITE1UGye2FF15wVHdzF1KwwxwuXcDBXbRAL/6LjE1DMCQRQRyCj4ULF3oMD9RBn868IeuGAh1uN2/eVEMg9XG+6IAR17148WKvxyCTdvr0aRXc3QvMhcrKylIBFua04fX999+rIZQPPfSQ13Ps/Y3sHhERtT0MsIiIOghkh8aPH6/eu7NX9gp3CQkJ6n1jwwNRBU/bsGGDCijwwvBCXZBCD8XzVmEO16Ozaghm7PPB3EPtdHW80aNHqwAIwQdexcXFarghMlOPPfaYI+jyFqigmuKoUaPU+9zcXJVF0xUPMRdsxYoVKshElUPNV5CISouau7gEMmrr169XwwFRaRF9oV8YpumtXVTk0/SQSBSP0PegC0l4Kyhhb+9uCk40xtf92/vAff8Y9qm599mfibdMoj7Xn/dBRPR/YYBFRNSBpKWlqawQfjYEwRfWWRo3bpzPtlCkAWsWwcqVK1UJbwQTmLul14dCZcDw8HBr8+bNPotdeMteachMYd4SIBhCRgjrcuGFYXf333+/tXHjRsc5GAKouasPYu6TLseO64qKilKZI1z/u+++a3388cfWwIEDPcqtQ1VVlaMt+zpW7jli586dU4EeMoGDBw9WQwL1CyXV0XcoCmKH7bpACIYpIuM1Z84cs57YpUuXTD+42bdhyKS/+Lp/FCHRWUz3/Z84ccLRF3YlJSXm/eHDhx37EOieP39evdeVL4mI2pQWW+KYiIj+d7W1tZKamurzmEuXLkl6enqT2vvmm29k8ODBEhwcLPHx8bJp0ya5c+eOXLlyRRITE6VLly4yd+5cqaura7CNKVOmyLVr1xr9rN27d0tycrKEhoZKp06dJCEhQdasWSP19fXmmJKSEomMjMQ3cvMKCAiQuLg4qaioMMddvnxZXnvtNenTp48EBgZKjx49JC0tTc6ePev4zLy8PImNjTVt9e/fX1avXq327dy5UwYMGGD29e7dW1atWmXO/euvv2TixImSkpIiQ4YMke7du0tISIi6Hvv1bd++3fGZR44ckZiYGOncubNMmDBBSktL5aeffpLnn3/ece7UqVOluLhYrl+/LllZWRIWFmb2DRo0SL788ssmPcOoqCh1TlFRkce+PXv2qOeo2+3Vq5fk5OS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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scene = get_scene(t, hoststarmag=-0.353, planetdeltamag=20, bg_flux=22.5, exobg_flux=21)\n", "c = Coronagraph.from_default(t, raw_dh_contrast=1e-8, ppgain=10, separation=0.2)\n", "print('star mag :', scene.star.mag, scene.star.mag_system)\n", "print('planet dmag :', scene.planet.deltamag)\n", "print('contrast :', c.raw_dh_contrast, '| ppgain', c.ppgain, '| separation', c.separation, 'arcsec')\n", "\n", "fig, ax = scene.plot_spectra()" ] }, { "cell_type": "markdown", "id": "8b8b652a", "metadata": {}, "source": [ "## 5. Assemble by hand\n", "\n", "`from_components` gives the same object `from_default` would have built." ] }, { "cell_type": "code", "execution_count": 6, "id": "9af02cff", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:17.241601Z", "iopub.status.busy": "2026-10-13T04:03:17.241476Z", "iopub.status.idle": "2026-10-13T04:03:17.486539Z", "shell.execute_reply": "2026-10-13T04:03:17.486212Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SNR: 9.747\n" ] } ], "source": [ "sim = Simulation.from_components(t, s, scene, c)\n", "base = sim.get_snr(3600, 100)['snr']\n", "print('SNR:', round(base, 3))\n", "assert abs(base - Simulation.from_default().get_snr(3600, 100)['snr']) < 1e-9" ] }, { "cell_type": "markdown", "id": "220ac94d", "metadata": {}, "source": [ "## 6. Change parameters\n", "\n", "`update()` changes a parameter in place and the next calculation sees it. From the simulation, nested parameters are addressed with double underscores, so `sim.update(coronagraph__ppgain=100)` is the same as `sim.coronagraph.update(ppgain=100)`. An invalid value is refused and leaves the object unchanged. `sim.reset()` puts every component back to its initial state.\n", "\n", "Two changes below, one at a time. A fainter host means a fainter planet, because the planet is defined relative to the host, so the SNR drops and the curve is no longer near its plateau. Raising `ppgain` then lifts the plateau from 10 to 100 and the SNR climbs back most of the way, but not above the default scene's: the fainter planet is photon-limited rather than speckle-limited, so a higher plateau helps less than it would for the bright host." ] }, { "cell_type": "code", "execution_count": 7, "id": "9bfc0c50", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:17.488413Z", "iopub.status.busy": "2026-10-13T04:03:17.488283Z", "iopub.status.idle": "2026-10-13T04:03:17.785995Z", "shell.execute_reply": "2026-10-13T04:03:17.785684Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "host 2.35 mag fainter : 6.731\n", "... and post-processing gain 100: 9.064\n", "refused: encircled_energy must be in (0, 1], got 1.7\n", "after reset: 9.747\n" ] } ], "source": [ "sim.update(scene__star__mag=2.0)\n", "faint = sim.get_snr(3600, 100)['snr']\n", "print('host 2.35 mag fainter :', round(faint, 3))\n", "sim.update(coronagraph__ppgain=100)\n", "faint_pp = sim.get_snr(3600, 100)['snr']\n", "print('... and post-processing gain 100:', round(faint_pp, 3))\n", "assert faint < faint_pp < base\n", "\n", "try:\n", " sim.update(sensor__encircled_energy=1.7)\n", "except ValueError as err:\n", " print('refused:', err)\n", "\n", "sim.reset()\n", "print('after reset:', round(sim.get_snr(3600, 100)['snr'], 3))\n", "assert abs(sim.get_snr(3600, 100)['snr'] - base) < 1e-9" ] }, { "cell_type": "markdown", "id": "ec663fcf", "metadata": {}, "source": [ "Notebook 03 looks at what the three coronagraph parameters do to the SNR curve." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }