{ "cells": [ { "cell_type": "markdown", "id": "614f92d5", "metadata": {}, "source": [ "# 3. Transits and binning\n", "\n", "Two knobs control the precision of a simulated observation.\n", "\n", "- `n_transits`: how many transits are co-added. The noise tables store a\n", " single-transit depth uncertainty per detector channel; `observe()` scales it\n", " by 1/√N.\n", "- `R`: the resolving power the model and noise are binned to. Coarser bins\n", " average more channels, so each bin is more precise and resolves less.\n", "\n", "This notebook shows both, then opens the `lazuli_exo.binning` module that\n", "implements them, including the instrument response and the two resolution\n", "limits." ] }, { "cell_type": "code", "execution_count": 1, "id": "051987b5", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:11.645339Z", "iopub.status.busy": "2026-10-12T13:30:11.644815Z", "iopub.status.idle": "2026-10-12T13:30:12.309455Z", "shell.execute_reply": "2026-10-12T13:30:12.309189Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lazuli_exo (dev)\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "try:\n", " plt.style.use(\"gks\")\n", "except OSError:\n", " pass\n", "\n", "import lazuli_exo\n", "\n", "print(\"lazuli_exo\", lazuli_exo.__version__ if hasattr(lazuli_exo, \"__version__\") else \"(dev)\")" ] }, { "cell_type": "markdown", "id": "3e244919", "metadata": {}, "source": [ "## √N scaling\n", "\n", "`depth_err` is the single-transit error divided by √N. Nothing else changes; the\n", "model `depth` is identical." ] }, { "cell_type": "code", "execution_count": 2, "id": "77a41b02", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:12.311125Z", "iopub.status.busy": "2026-10-12T13:30:12.310943Z", "iopub.status.idle": "2026-10-12T13:30:12.660611Z", "shell.execute_reply": "2026-10-12T13:30:12.660268Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " N median sigma (ppm) sigma_1/sigma_N sqrt(N)\n", " 1 106.72 1.0000 1.0000\n", " 2 75.46 1.4142 1.4142\n", " 5 47.73 2.2361 2.2361\n", " 10 33.75 3.1623 3.1623\n", " 20 23.86 4.4721 4.4721\n", " 50 15.09 7.0711 7.0711\n", "\n", "OK: errors scale exactly as 1/sqrt(N).\n" ] } ], "source": [ "PLANET = \"WASP-39 b\"\n", "n_grid = np.array([1, 2, 5, 10, 20, 50])\n", "\n", "obs1 = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=100)\n", "errs = []\n", "for n in n_grid:\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=int(n), R=100)\n", " errs.append(np.median(o.depth_err))\n", " assert np.array_equal(o.depth, obs1.depth), \"model must not change with N\"\n", "\n", "errs = np.array(errs)\n", "ratio = errs[0] / errs\n", "\n", "print(f\"{'N':>4s}{'median sigma (ppm)':>22s}{'sigma_1/sigma_N':>18s}\"\n", " f\"{'sqrt(N)':>10s}\")\n", "for n, e, r in zip(n_grid, errs, ratio):\n", " print(f\"{n:4d}{e * 1e6:22.2f}{r:18.4f}{np.sqrt(n):10.4f}\")\n", "\n", "assert np.allclose(ratio, np.sqrt(n_grid))\n", "print(\"\\nOK: errors scale exactly as 1/sqrt(N).\")" ] }, { "cell_type": "markdown", "id": "4ddd8608", "metadata": {}, "source": [ "The statistic is linear in 1/σ, so the template S/N inherits the same scaling.\n", "This is the clearest illustration of what the model leaves out: there is no\n", "per-transit systematics term and no red-noise floor, so the curve never\n", "flattens." ] }, { "cell_type": "code", "execution_count": 3, "id": "fbaa4d08", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:12.662444Z", "iopub.status.busy": "2026-10-12T13:30:12.662287Z", "iopub.status.idle": "2026-10-12T13:30:13.265691Z", "shell.execute_reply": "2026-10-12T13:30:13.265342Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8.5, 4.5))\n", "\n", "for planet in [\"WASP-39 b\", \"GJ 3470 b\", \"K2-18 b\"]:\n", " snr = [lazuli_exo.observe(planet, scenario=\"clear\", n_transits=int(n))\n", " .detect()[\"template_snr_diagonal\"] for n in n_grid]\n", " ax.plot(n_grid, snr, \"o-\", ms=4, label=planet)\n", "\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(\"Number of transits\")\n", "ax.set_ylabel(\"Template S/N\")\n", "ax.set_title(\"Pure sqrt(N): no systematics or red-noise floor\")\n", "ax.legend(frameon=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7d7f26f7", "metadata": {}, "source": [ "## What `R` does to the error bar\n", "\n", "`obs.plot_noise(ax=ax)` overlays the per-bin error of several binnings. Coarser\n", "bins combine more channels in inverse variance, so the whole curve drops as the\n", "bins widen; the sawtooth at high `R` is real and comes from bins being whole\n", "numbers of pixels. R = 200 also triggers a `UserWarning` about the instrument\n", "resolving power, which the section on resolution limits below explains; the\n", "warnings are left visible in this notebook." ] }, { "cell_type": "code", "execution_count": 4, "id": "503d1a7a", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:13.267458Z", "iopub.status.busy": "2026-10-12T13:30:13.267311Z", "iopub.status.idle": "2026-10-12T13:30:13.464450Z", "shell.execute_reply": "2026-10-12T13:30:13.464143Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/0t/mnkwbhz90sv50nypf2rcl8cr0000gp/T/ipykernel_40131/2291477036.py:3: UserWarning: requested R=200 exceeds the instrument resolving power (R_instr = 101-369 over the binned range); bins narrower than a resolution element are correlated by the LSF\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 4.2))\n", "for R in [30, 100, 200]:\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n", " o.plot_noise(ax=ax, label=f\"R = {R}, {o.wavelength.size} bins\")\n", "ax.set_title(f\"{PLANET}, 1 transit: per-bin error vs binning\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "73c385f2", "metadata": {}, "source": [ "## Choosing `R`\n", "\n", "Coarser bins mean fewer, more precise points. The total template S/N is roughly\n", "preserved as long as the bins still resolve the features, and only degrades once\n", "a bin is wide enough to average a band's peak against its continuum.\n", "\n", "Above R ≈ 100 the cells below emit the same `UserWarning`. That is the first of\n", "two resolution limits, explained further down: the requested bins are narrower\n", "than the spectrograph's resolution element, so neighbouring bins are correlated\n", "by the line-spread function and the error bars are no longer independent." ] }, { "cell_type": "code", "execution_count": 5, "id": "e1fa02af", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:13.466171Z", "iopub.status.busy": "2026-10-12T13:30:13.466039Z", "iopub.status.idle": "2026-10-12T13:30:13.588604Z", "shell.execute_reply": "2026-10-12T13:30:13.588302Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " R bins median sigma (ppm) template S/N\n", " 30 44 58.58 65.9\n", " 50 73 74.87 67.8\n", " 100 145 106.72 68.6\n", " 150 217 135.93 68.9\n", " 200 290 156.10 69.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/0t/mnkwbhz90sv50nypf2rcl8cr0000gp/T/ipykernel_40131/1743028282.py:6: UserWarning: requested R=150 exceeds the instrument resolving power (R_instr = 101-369 over the binned range); bins narrower than a resolution element are correlated by the LSF\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n", "/var/folders/0t/mnkwbhz90sv50nypf2rcl8cr0000gp/T/ipykernel_40131/1743028282.py:6: UserWarning: requested R=200 exceeds the instrument resolving power (R_instr = 101-369 over the binned range); bins narrower than a resolution element are correlated by the LSF\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n" ] } ], "source": [ "R_grid = [30, 50, 100, 150, 200]\n", "\n", "print(f\"{'R':>5s}{'bins':>7s}{'median sigma (ppm)':>22s}\"\n", " f\"{'template S/N':>15s}\")\n", "for R in R_grid:\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n", " print(f\"{R:5d}{o.wavelength.size:7d}{np.median(o.depth_err) * 1e6:22.2f}\"\n", " f\"{o.detect()['template_snr_diagonal']:15.1f}\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "a520ce07", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:13.590488Z", "iopub.status.busy": "2026-10-12T13:30:13.590328Z", "iopub.status.idle": "2026-10-12T13:30:13.974686Z", "shell.execute_reply": "2026-10-12T13:30:13.974360Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/0t/mnkwbhz90sv50nypf2rcl8cr0000gp/T/ipykernel_40131/3644761460.py:4: UserWarning: requested R=200 exceeds the instrument resolving power (R_instr = 101-369 over the binned range); bins narrower than a resolution element are correlated by the LSF\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n" ] }, { "data": { "image/png": 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Rg2bOnEn//vuvHKsCAABGQkYWgHYoqwAAAEvYKozlDPGzyzeyxPH5tBu2XhVw9owsX19fql27ts4glqaxY8eKDC0AALCfrJNyBdK3wfUgYAUAAPaakRV3I5scBZcDAjhcIGvIkCFiQqGxSkpKtJ7/3XffkSNRKBQUHx+vPmRlVUSPAQAcATKyALTD13EAALC1bw8eJ0dxJOm65LeJz2LnkJWVpY6XlJaWihiK3QSyPv74YyorKxOTCw05efKkaASvzezZs8mRZGRkUFRUlPowd+5cW68SAIDREMgC0E6iIVEAAABVfLHrEJWWlzvso6LUEV7S9X8qKi2jSX9vpJ2Xrxp9H+gv5lzmzp2rjpfExMSIGIrd9Mjy8fGhH3/8kSZPniz6ZIWFhWld7saNGzRp0iSaOnUqJSQkqM8vKiqiHTt2UGxsLDkS/n9yM3uV0NBQm64PAIC5O+vICAdXpCtgpeuLOgCAqUrKyum76BM0sl0LahwajAfQRbjrKC3kyYEHEpLpjqhGst6/pZWNUpXec5+rtPxC+nLPYerXrLEktwmOZcqUKTRx4kTx9+DBg8nDw8N+AlnPP/88rV69WvzdrVs3g8uPGzeOnIG7uztFRkbaejUAACzOyEKPLHBFCFgBgNx2xF2lzZeu0MmUdPp+1GA84C5CXxyJv31dSLtBDYID6dV1O0Rwy57gpxyQEif7qBJ+vLy8zL4dWUoLn3zySRG1tfQAAADWg9JCcHX46gEAcistr+gHU1BaWuX87KJiOpyYgifASenLiOLn/vUNO2ny2m2UkpevczlL9o7dLJybqKu8z9TbxQ9GIBVZMrKGDh1K4eHhov6xR48eJqeLcdOvnTt3GjX1EAAApIFAFoB2CHABgNze2LCTknPz6buRg0Rmjqm4J5GXmSU6YFv5JRVBzYyCQtnuw9IAkq4kE83btTRYBmDzQBaX2E2YMIEefPBBs5uztWjRgr788kvJ1w0AALQr05gagh5ZADfhF2QAkBsHsVhusfZp7vrsjkukL3Yfoo8G9qYuDcJlWDuwB252sH0C2AtZSgvZrFmzdAaxzp07Z9Rt8ERDAACwjnKN6JVmdhaAq0DACgAcEffcYrvjE7VefigxhTILi6y8VqDJVtlKbhLc/+74a7QvIcmiz1DO6Hpzw07aFBNv9noAWCWQxbg88MUXX6Qnnniiyvn79u2j22+/XUwm1MeS5l8AAGCacqWSvNwrPhYQyAJXpHNqIeK6AOCgUnLz6cNt+0UTcXBs5nwUJWTnWny/a8/HWnwb3AfsXNoN2nvFcECsOhQsgtVKC9njjz9Ov/zyi/i7YcOGVS7jwFbHjh1FL60PP/xQBLsAAMD2pYXeHh5UqlBQufJmmSGAq0OmFgA46vtJXklFqWK6jP2XwL63CZ6IaI+2xSZQ/+ZNjF4ew+BA9oyshQsX0pIlS9QbG/fMqo6bwM+cOZOmTJlC+/fvl2M1AADABOUKBXl6ICMLXBcCVgDgyJA8ar+Ky8ttdt/X8wqscj+mli8evJos27qA85MlkLVo0SK69dZbae3atZSVlUX169fXuty4ceNIoVDQF198IcdqAACAGaWF/DUEzd4BbkJpIQBIBZPdXNPp6+kuvU2YOwAOwKqlhfHx8RQTE0NhYWF6N9yQkBDy9PSkPXv2kL3hbLL+/ftTv379aPr06bZeHQAAqzR7d3dzEwcFIlngghCwAgBH5uaiQRJXzgaOvppM3RtF2H2gCGWB4BAZWW3atFEHsfS5cOEClZWVUV5enmT3vXHjRurVqxf5+fmJQNm9995r9JRETQsWLDDYjB4AwOlKC93dKwJZ2KMHUEPJIQA4ApQWup6Pth+gnXHap1Wq8DTLDJl6pOn6uphVVExbYuJp4cETstzv8pPn6ez1DLOum1tcQun51im3BAcLZNWtW5cKCgxvHO+++644btLE+CZv+mzdupVGjx5NderUoeHDh1NAQIAob+zduzdduVIxltYYcXFxtGzZMknWCQDAkUoLPdwrM7IQyAIXpGu7x8sBAADsVXJuRVLItweO01+nLtS4/MDVZDqTal7Qx9wffb49eILm7T9G6y5cFqeNzRhLzSug40mpVc6rft38klL69fg5emvTLrPWc/zydfT435vMui44eSDrySefpAkTJujMtEpOThYBp5UrV4oNc8yYMZKkK06dOpWOHTtGa9asoRUrVojyxiFDhlBmZiZ99dVXRt/OK6+8Qp9//rnF6wQA4GhTCz0qSws5qAXgarDVA4CtoQTL9Uj1lWv9xTj65dhZsiapKxqfWLmJ3t+6l8rKFRa9RvA6cn6y9Mi65557RFleVFQUDR48mBITE+n999+nnJwcOn/+PO3cuZNKS0vFsu3btxcBKEsdPHiQnnrqKWrVqpX6PM7I4kbymzZtEvdrjG+++YaGDRtGjRs3tnidAAAcrUeWpzdKC8F16c7IQogLAKSBUmWobkfcVeO2HRf6LNL2eWzs/z4hK4deWPMfTe3Xg3o1bSj5uoETB7LY7Nmz6ZZbbhEBLA5kffLJJ1Xv2NOTHn74YZozZw4FBgZafH/Nmzenrl271ji/ZcuW4rhBgwZGNanfsmUL/fPPP+JvAACXKy1UNXt3oS9LAK64kwDSmrPnMLUIC6V727bAQwtGkas59+HEFNoUE09T+/Ukd3f7bgAOFZJz8y16KGzZ0N+Yj03+bN1x2bhgnfo6FuRI76rsGbbsxHkEspyYbIEs9sgjj4hgVXR0tCj5u3HjBvn4+FBkZCT17dtX9NKSiq7bSk2tqLEdOXKkwRfYyy+/TF9//bXZ6xAbGysyzLQ5c+aM2bcLAGCtZu8e7u6iTxb/DeBqdH1tRngLDNl++ao4IJAFxgYd5Aic55WU0oxt+8Xf8VnZ1Kx2qOSlX2A7F9IzHTLLb19CEv1w+JStVwNsSFeMhOMnnJBkd4Es1a8NPXv2FAdtVq9eTffdd59s989TDLt3704jRozQu9zChQtFGSQH2czFH0gKHTt/2dnZZt9ubm6u2dcFADBWUXEJlZWUUHlZGRUWFZv0voX3KXAGPGVJ1fqAt3/V37x9Z/vI/pVJfV/geDS3G2eC7VF6+QX5YnspdXersr2o32/y8kx+vykqKhLX3xV7c7hVbm4eZXu4UU5OruTbJ7YL46keezkVFBRW+czS/FuX8rJyi++X70e17bGc3Dyt95uQlqH1fL5u9W3y5v8hh3w8PcTfMdfTxPnFxRXfTTlgq2+bLiwsrLK8q7xfW4O5r31dMRJLAvrW+VamB08H5PK/du3aSX7bvPF+//33tGTJEnJ3193XnssI161bJyYcWqJFixayZV6FhITIcrsAACrunh7k7+dHAWUKcvf0NPl9B+9T4OjKvArJy8tLvT2r/g4MDLLq9o3XkuPR3G74izmPdw/29SFngO1RWgH+AWJ74QM/ttzU2tPDXb0NBQUGmvyY+/n6qq+vEhRUcTtBZcoq26dUsF0Yp/rzIocAf/8qn1maf8u5bnw/vhrb3sJj57TeZkCAv9bz+brVt6Ob/4dg8vGsCFWcz8wR53NlFy/vUVyid5v296+4P29vb62Xy/F6cCUhZjxu586dMylTS9ZAFmcw/fnnn2QJLjU8ffo09ejRQ5ZAFvfn+vDDDw0+QM8++yy9/fbbdO3aNfV5KSkp4pgb1HOPL24cX6tWLcnXEQDAXpRxs3d3N/LycKdSlBaCC9L1y6C9l22AfVl48ISYHrbwvoHUMCTI1qsDduzg1WT6ePsBmj6gl/o8c95t9F0HpYUgl1VnYqhAI9OKM6XsCT65nZvZgSyeDsiTCbl0UNsXP1UDQ2PSxTgb6rXXXiMpffvtt9SxY0cxgdAQnmrIB22++uorcXjsscfo559/lnQdAQDsBb9Xl5SXk7eHB3m5u1NBaZmtVwnA6hQ6vrKgBzyYgoNYLC4zG4Es0GtLTEUp4E4jp9aB/SsuK6NX1u2gh7u0pd5OPjHvpyOnZbttbZ+7GMgCkgSy+vXrJ9LKevXqRd26datSuldWViamFnIg6c477xTpfdqcP39elOI99dRTJHW5Iq/PhAkTjFpeW0khN4l/4okn6KGHHqLx48dT48aNJV1HAAB7UlaZgSUCWZyRVYxm7+B68CUZAKR+P6k+nVCqDE/VD1Cq8iuwD+dSb9DV7Fz6bGc0rX30fluvjt2LzciiP06ep9f6dCNfr6rbMg8e4t6VKpmFN/82VWFpKf185AyN6dDKovUF+2H2O5+HhwcNGjSIli5dKupVNX3++ef03HPPiWCWIU8//bSk42dXrVpFycnJNTK8CgoKaMGCBfTGG2/QoUOHKD8/XwTZmLZG8Nw3S5V5ZqhRPACAoysprwhccRDLy8ODSsstbwIK4GgUGj8BI6gFAJYYv3wd1QsMoLkj7tJ6ua79H2P3it7ZvIdOX08XwRIMJgRN8ZmO08R82n/7KLuomHbEXaWhraKqXMZlt4evXVefTsnLp+NJqdQiLNTk+1lzLlZkyybm5Emy3mB7FoXwP/rooxpBLMa9szhYZAwu2Xv99ddp3LhxJMWEwmeeeYb69+9f5fa4S/7hw4dp0aJFYjpBnz59xLQCbjrWunVri+8XAMDRqQJXnJHl6e5OpZWBLQBXopknUa5RZ4geWQBgKu4XlHcjq8b5bpVhJ909+YzDQSz2zqbd5KFnqBW4nk93HCRHwcMOtPnx8KkqQSzN7d6cQFZR5ZTGfDvr4wU2CmTpCgLxLwz6pgRq4jfxU6dOkaUOHjxIo0aNEuM2ly9fXuPyyMhIGjBgAJWXl1Pnzp0pKyuLwsPDLb5fAABnoMrI8uaMLA5kodk7uCDNHcuq2Vk2WiEAcGpSBMlPXU+nLvWxTwPaf4ixZ/qKsjbGxJt/uxp/F5WW0Q+HTyGA5YRkKarmHlmXL1+mZs2aGVyWs6SkGEvas2dPUT5oiKenJ0VHRxtcjgNfKCsAAFfLyOKyQi4v5J5Z/B4oZek3gL3TDF5p/g0AYA+Bh5Kycprw13p6qHObKucb+0mtUCjJ3R2f6+C4TPlk5u+yU9Ztp2soJ3RKsuShPvLII6Kv1LFjx3Quk5ubS5MnT6bffvtNNIsHAAA7ycjycK/SAB7AFb8gV8nIwhBvAJDRrvhEo5ZLys0TU4V/PGx4Wpy2WDymIzqn6r85puYbTu6wB7yNyvn5mpybjyCWE5MlI+uVV16hf//9VwSobrvtNtGTqlGjRmJ6YUZGhghwbdiwQQSz2FtvvSXHagAAgJF48pF6aqG7h/ib+2RxhhaAq9AMXpWjtBAcCGfQJmbnUqOQIGTS2jnNHXdVvyxrsWTqG9gve08g1teXigOzpjqUmKL+e/2Fy9QuPIwia4WYvX7gmGQJZPFEQw5U8URCzrg6cOCA1g9cLvObM2cODRw4UI7VAAAAI5VWmVpYkZGFPlngyjsDKC0ER7IrLpG+3HOYJnRpRw90wiAjR8Cl+9bI9rR2sAygumUnzmt9UMzpXsETDv88dUF9+tuDJ8QxT+809Xb3XblGvZo2NH0lwC7INuLCz8+Pli5dSvv376eJEydSixYtyNfXl7y9vSkqKoqeeOIJOnLkCL344otyrQIAAJiRkcXlhZp9swBcheZOJQJZYCmpegwWlpYa7Nt6NjVDHB9LTpXkPsFJM8AQ03JKjvq8FpWa/j2z0IwMLl1m7jTcNxtcLCOrehN2PgAAgP1SZV/xxEJVOaEqSwvAFRsuo0cW2IMbBYX02IqNNLhFU5rc69Yal688HUMRQf42WTew7wwpbdlehkrQTqek09rzsfTGHd3Js/JHLahwLjWD3ty4i2YN7UttwsOcLqhkC3klJbZeBXBgeIcCAAAxCYl5e3qQpzuavYNrqpKRpRHUsvf+I2CfpJh+nZidJ443X7qi9fLFR09XySrAxG37tfDgCfrx8ClZnit9wRNTAmdTN++mfQlJdPp6ujQr5kT+OXtJHK8+F6t3OXxemOdieqZF23oZfnx1OQhkAQBAtWbv6JEFrklXjyzEscBVyhhBPusuXFYHQ2yl+mZSXFZG22IT1D9mgePS/PHFUWhm/m+5dIUu38gy+7Y+3LbfqOXwVuk8ZC8tdCUKhYLi4+PVp0NDQ8UBAMDeFVcGsjiI5eNZUVpYjC+24GI0g1fokQWOBJlYrs3cLCBuwr3yTAxdz8unhzq3vXl7CN+bzRaBkl+Pn6Pfjp8jR3M5M7vK6bT8QrNvS7M/oL4sRGTM2V5WVpY4sNLSUjEo0BzIyJJQRkaGaGSvOsydO1fKmwcAkI2qeaa/tyf5KxTkVVZGhXn5pCgqqnEAcLmMLHzzBTMgSwq0vs+YESRKzy+gDRfiTLqO6m1LW2Ble2yC6K92rbJ0NSknH0+Wg3O8fKyaNKcRgvOaO3euOl4SExMjYijmQEaWhMLCwig6+mafAmRjAYCjBbL8PD2p3psf0nQ+sWI1ndaybKf1v1p79QCsAhlZ4KgQNHPu5+zdzXspKTeP7m3bXMdt6b6utjj8nL1HxHHPRvUrlnGKMIj9ySkqtvUqOGWfLDmtOhNDfl6eNLRVlK1XxWlNmTKFJk6cKP4ePHiw2RlZCGRJyN3dnSIjI6W8SQAAyWnLqiouKBBZWD6VJYYArkhzZ64cPbIAwBbvQ1piShzEYmsMNBrX9NXeIzT/ngF6l0G/IBOeFyOX0yxre/jP9SbcA9iDn45U/ISLQJZ8NNsveXl5mX07Ng1klZSU0IkTJ6h79+62XA0AAJdyetSTNc7rXnlIWbGa3Bd+TvNWbqJJ8VfI/2Lll2Y3Nwrq2okiHh1j/RUGsHFpIfplgTn+u5RAvZs2tOjBQ6DBuclZtXw1O5fOp90QLQNMhWpq8yG7zb7hPdV5yNIja/To0UYt5+3tTStXrqxSjgcAALblm5NLk3bsvhnEYkol5R4+QZff+YyKribZcvUAZFOuvDlBCYEssNShaylWfxBRICa/3OISi6b86WtEXR3fz4tr/pM9qILAFbgKbOvOQ5ZAVkJCgtHLjhkzht566y05VgMAALTosPIHajnvIwq8taP6PKWbG8U0iBDnly1fQ/4lpVofu/K8fEr+6Xc8ruCUyjTGl2sGssoVNwNcAODaxi9fR5NWbrL4dniIhKHsEM6oupKVY8F96L8cvdWkZ0qgEkyXV6z9+ykrK1fQnvhEKjXxM/tSRiZtjonXetmhxBS6kHbD5PUE+UlSWpiTk6Meoagao3j16lW9U354mWvXrtEXX3xBhw8flmI1XBL/UvPa+h00ukMrurNZY1uvDgA4gJK0GyKzioNSKm5KJbVMSqHYqTNJUVCg9/q5h45TWXYueYYEWWFtAaxHM2ClqBLUwrMA8kjLK6DvD5+iZ3p0ojB/P4tvD7vQ1pFtQRPvjRdNmz5oDWUKBf10+JStVwPAoCNJ13Ve9s/ZS7Tk2BmTH8VX1u0QxwObN61x2Yfb9ovjtY/ej2fHGQNZHLQaP348nT59c76VKU3PO3a8mRUAponLzKb4rByavecwAlkAYBTOqNIMYmlS5OsPYlUspKSyzCwEssDp8M6ctuAVMrJADhzQWHkmhpJz88nfy5Om9O5q8W0i5mr/+Hu7KutTqjInc7OAVNfal1C1ZQC2I3BEiTm5tl4FcLTSwvbt24s+V0888YTIwjL2wHr16kVLly6VYjUAAMCAsuwcyo0+btnj5O5GnrUqpo0AOJNyXaWFaKoBEissLaUFB46LIFb17c0cyMSyX/GZ2VrPz9NRwq/Z18rYxtRoMC4PfdVF4JgyC2tO7lbB68ixSDa10MfHhxYtWkQRERG0evVqWrNmjd7ledRi3bp1LRq5CAAApinjL9QWfjEL6t4F2VjgAhlZmj2ysDMDxvn9xDmjlqu+TWF/2Xm9sWEX/TX+HqOX3xxzhdrXqyPLumBim/Hm7j1C/8UmoKTMydzQE8gCFw1kqXz44YcUFRVFTZvWrDEFAADb8qwVIjKqLGn6U3/SQ5KuE4C90My8qpqRhWbvYJyNF7U3DAbXVVRWZtLy2y4n0Ct9uspSWoiAqfE4iAXOD1l3jkuWqYWPP/64Sctv2bJFjtUAAIBqPEOCRUaVJXwbN8DjCk6fkaU59cjSsi8AlRsFhWKylrHT4jABzbHkFpfQNweOi+dZ02N/bSB7hAwtafGEu3e37JH4VsFYp1LSTX6w7lv6j/pvfNS7eEaWOVHQiRMnigmGAAAgv4iHR1HBmQtUnlezsbtHoD81+3QqLYhLon1Xk+jXu/sR5eSSZ61g8gzGlEJwbprlXiXl5VrPB6j+PdbYUpXisjJ6bMVGahlWiz4a1NvsBzIxO1f0eekYURdPho3xdNO5+47QyHYtqFntUPr9xHnacDFOHKQoZ5I6kInAlbz+OnVB5nsAfbLMmCaKT3cXDWSlpaXR7t27adCgQRQUdHMHZ+PGjZSammrw+sXFxbRr1y5KSUmxZDUAAMAEMS+9r/MyDm75tYiiwIwcKvX0pKKQIKpdPxyPL7hcRlZR6c1yIGRkgS7LT16g34zsi1VYuU3FZGRa1GT4udVbdY6DR5mM9dzzyyqqHxQgGvZvv3xVPB8FpdobuNsrXYEybEfgiDR/gALnZ1Eg64477qCYmBgaOnQorVu3Tn3+tm3baPbs2VKsHwAA2ECor484zi4qodr+fngOwCVoZl4VlSEjCwzbGZdoFw+TsaWKIC3V1ElHCf6gVFVe9r8FADgPT0s/NPlNu6xaE8MHH3yQvvzySzGRsF69euTh4aH1+kVFRUZlbgEAgHQ6rPyhyum/Tl2k5acu0KyhfSmqdog4L9SvIpCVVcTlEBXnAbhURpbGdxs0ewdd8g1k4By9dp1ubVgPD6ALWHzktM0CRboywaZu3k2v9u5aJfMvRSP4Bobxvi4Cxa7BlMxYcPBAFpcF8mHgwIFVzu/atSu1bduWdu7cSXXq6B8fGxsbSx07drRkNQAAwATuvr5VTqeUlIkywnphtcjdx1ucF1aZhZWeX7VhLYCrTC1ERhYYg3tV6TPtv300d/hd1DwsVNYH1BGygZzdP2cv0YDmtpnafi7ths7LNl+6UuU0AlkA2mm+jV7JzKHEnFw8VM4ayKpbty6NHj1a62UPPfQQhYYa/tBu3rw5tWjRgpyBQqGg+PibY5f5/2/MYwAAYEup+QXk5+lJAd5e6vMiAv1rlE0AuFJGFjfm1hbgAjAVN/pubqOHLa+4hPZeSaKBLZqQh7ssw8rBgVxMz6QLaTd7tOmqSHW1d7zzqRnk4+mpzko3FwLKzuPFtf/ZehWcVlZWljiw0tJSndV7hsj2ifbee++Rp6dxcbL9+/eTM8jIyKCoqCj1Ye7cubZeJQAAg9LyCyg80L9K6ny9wABRIIFAFrhqIEvVmJuh2TvIrbT85rZnDl2lT//bf4zmHzhG/8UmWHT74LjNqzWDK7vjr9GeK649KZ4fD54ueC37ZrbNGxt30Uv/brPoduNuZNOF9JqDHACgKo6RqOIl3G+dYyhWz8gy15kzZ+js2bPUrFkzUYYYEBBAziAsLIyio6PVp5GNBQD2rrS8nFLzCqhbw4gq53t7eojyQgSywFWDCQUagaxyjQAXOC+eVHn4Wgr1atKQ3N2t2+toX0KSLLebkFWxs55RgDJxR7M9NoHm7D0i630cSryu9XxnHh1wPu0G/XLsLK08E0O/jxth8e0pFEraFZ9I51LN2xkHcDVTpkyhiRMnir8HDx5sdkaWLIGsefPmqf/29vamZ599Vn168uTJ9M0331RpDL906VKz/wP2xN3dnSIjI229GgAARkvMzhNlU5G1gmtc1iA4UJQhoNEpuGL2Q37JzebJKC10Dd8ePEHbLifQS7eX0aCWzvV9DtWx1iHl8Mgt1XpbyUFzqIWrlBYWV06kzdN4j7fE9ssJNHffUXI2Xhrbhn9xMQUWFVOerw8V+FQMA+Leqq7a7J0HO7SpW5tub9JA9nVyRqEa7Zd4OKC5POWKsnF20owZM2j8+PHq8xcuXEgLFiwQ6c8PPPAAhYeH07Jly2jmzJmiFBEAAKwrPjNbHGsLZPF5J1PS6HpeAUUEOUfmLIAxOzjVp4CVK5x5tw5UYm9U9Ozg9zxjsreiE1PMfvCslfGCZsWAiXvySnPSoTjTV6zWe/m747T3yXYFnM3H1j56v61XxaV5yvWGuXbtWrrtttvU5yUlJdGbb74pLps9e7YIdrFnnnmG7r33XgSyAABsID4rRxw3DdUSyKo8j4NdCGSBK2dkcQkuOD9TGjV/F32StsZeseuAwuXKwBw4JoTP5Xpc8chKoU5ODqUH1/zu6EqZqyVl5aIVB9iGLM3emzZtWiWIxThwlZeXR507d1YHsVi7du3IpzJFEQAArIvHC3u5u4sywupU03viKrO2AFwhkOWmpUdWKXpkObV15y/T6ZR0kwJOut4XlRJPNPvr9IUqp7mnobE0l8WuOwCY4kL9qr1Tqxt6/LTTPaAJ2RU/7hpr9LI1tOPyVdnWB2wQyOKSQU0bNmygFStWiC8G2ib53bhxQ47VAAAAAztVMRmZ1LRWsNax7E1CgsnT3V30yQJwBSXlCgr09q7RP0Wz5BCcz8LoEzR1826TAk5yJFf9d+kKrTxdUbKicjQptcrpJ1Zukv6Owe6YE/TU5fT1m0FaqOmGxiCEJUfPUG5xics/TP5FxdQyWX/pdOukZNE7y5lcvmH6D7ez9xyWZV3ARoGsevXq0fz586mwsJC2bNlCDz/8sAhicdP3vn37Vll23bp1lJpa9UMaAADkl5STRznFJdQuPEzr5Zwu3SIsVEz4kfJLNYC94oCVr5cH+Xh4VGmCrDnNEEAfY+Nb2gJh3DB68VHpshzwru24nvlni10FoHjqZYFEzdHtzWMrNqr/XnH6Ii09drbK5a749SewqMhgkIAvDywsImey4MBxcmaZhUX00+FTVKjRA9SRydIj6+OPP6ZevXrRyy+/LE7zDtDIkSOrTDMsKCigxYsX09tvvy3HKrikvOISCvSp+CUZAMCQs5WjonUFsljburVFICsxO5caa+mjBeAsFEVFVF5YSP5KpfjxLVMjkFVW5Fxf1kE/Y0oL3azWrt00ysq+LW9v2k1NQoNsvTpgpuTcfJs+dtV/vJq4YiP5eXrSn+PvIWeHjCyiPF9f4p9v9AWz+PI8P18rPjNgqQX7j9PBxGTy9vCgR25p5/APqCyBrI4dO9Lx48dFoCo7O1tkYY0dO7bKMh988AHl5+fTI488IscquKTsomIEsgDAaGcqA1kcrNKFxwuzc2k3EMgCp3Z61JP0hL4Fht9lvZUBm1DKfBtSN3ufueNgjfP4h4dH/lxPhWVlonRcl1MpafTz0TP04cDeFOBt/vhzsMyha+ZPvrQ23qbANRT4+hjMyIqpH0GlHh7kpWW7KPWUJcQAFsqpLAXV7AHqyGTbypo3by4ys3T58ssv5bprl+WCma8AYGFGVv2gAKrt76dzmfb16ojj48mpNLhlJB5vAAAJslyk6Lu2LyHJ7IDDh9sOiPLZfVeu0SC8t4MLMbVUMC2/gOoFBei+PRfdA2udnELTV6zWetm740ZbfX3A9cjSI8tUa9eutfUqOAX0sAEAY3GpIJcudI6oq3e5EF8fahlWi45eS6Uy9AkCJ9Zy3kdU6KU9M6XI25uKrmoPGgCY4/Ndh/DAAdjAZzujTVr+yVWbyRVNH3MfzR/cX0wvVHWJVBgxzRDAZQJZ165do5kzZ9p6NZyCa/4eAADmOJCQLI5va9LA4LLdG9Wj/NJSdU8tAGeU/Ovf5KejAapvSQkl//Q7OeqPXPihS3qWVgma08ibywGlXh98dwRD20W+EU3ej167Tm9u2EnFDlB+KHWJpL32y7MUlwcm165Fv/TrTTPvH0FfDx0ojvk0B7h0/fDD59fJybH6+jqDotIySs0rsPVqOAzZAlmrV6+mQYMGUaNGjcjT05M8PDy0Hpo0aUIHD9as8QfTueJUDQAwz4GrSaJxa6eIitJBfW6vDHbtjk/Eww1mu56bT59sPyCm5tibsuwcyjt0Qu8yuYeOU1l2LjkabtL8wpr/bL0aTqFcoRDT28xlaY+sdzbvMfu6CGaa7/KNLFpz7hK5qnF//GtwmWn/7RO9NI8n6w62OitXKC0s8PGh1NAQccwGnD6n84cfPn/ocemmr7ratNInVm6iVWdibL0qrhvI4v5Xo0aNom3btlFSUhIpFAr1L4LaDiANV3gjBQDL8Y7YhfRM6taoHnl5eBhcPrJWCDUNDaaNMfEO8Wsr2KdvD56gA1eTadnxc2RvyjKzDf8apFBSWWYWOZobhUV01QEDcPbo0x0HRWDwhonBLG7A/viKjZQi4yQ6c79OO2cuibRe/nc7fX/oFGXZYRDe3tjrfh0HobkfHE/0NGTPlWuUno+sGF38i4qpdVJFVr8ufLl/ZWNxZyPnNs6f1+ynI/IEApXkXGRp9j537lzxJHfq1IlefPFFioyMJC8t6YfFxcV04cIFmj59uhyr4XLs9LMDAOzMttgEcdynaUOjr8OBrCtZOTRv3zF6o293GdcOnFV55YeUwg4/rDxrhVTUZulbN3c38qwVas3VAjsTnVgxYS4tv9CkANCfpy6I43UXLhu1PO9E1wnwJ6ldycwRkwwHtmiqXn/7ezXa/3uYPggMkgj4/XX6Ij3UqY3dTFNffyGOFh06Sfe2bW7U8osOnTL6tqX6SNOc/sdBoMCiYsrz9VFnQUk9CZDvz6syS9SU+wssKjKYCcOXBxYWqW8LwGECWbm5ueTj40M7duyg0FD9X/oGDx5M6emm9wmwR5x5Fh8frz7N/3dD/38pISMLAAy+TyiVtOXSFdHEvUej+kY/YBNvbU+74hMpFb9SghPyDAk2uDfi37UzeYYEWW2dwDHp6ydk7A7v439vorWP3m/SL/+Gqhb5ll5cW1Fiin6HxuPeT+rHmFyPOdknnL3G3xf4qk/36ET2MuCGxd3INmp5bZlbbjp6Gv1+8jxJQdcEQH2TAC0Jfn2yer3J98fyfH1F03d9wSy+PM/PV+/tg/W52cmDnpWVJQ6stLRUtJuym0BW37596dSpU0YHcWbMmEHOICMjg6KiotSnp02bZtVsMzv8kRsAbERRpL0E4lDidUrPzKZ7OrclTw/jq8vrBvpT1wb16EjSdTqelEpdGoRLuLYA9s9//P22XgVwgC/7JeW6S5dMbZF179J/SA78Ywb3SATjgjLGcqav4dsvJ1DjkCDy9fSoUaLn4e6u9zHIKykRfxfo6KHkCIxNDlhtxd5p3EA9PTjY4uCXJffHCnx9DGZkxdSPoFIPDxFos0Z2GTjWexRX72nGf+rW1T9BXRdZtqLPPvuMevXqRefPn6c2bdoYXH7t2rV0zz33kKMLCwuj6OibI12tmY3FkJEFACqnRz2p9cHw4y8+RNT4IdPfcwe3bCoCWe9v3SuyBQCcSfLn79Pf/+2l55OSyP3MhYpfh9zcKLdVM1rStClNrWt4MAKAvcorrgguaCs1H9wy0urrA/Zt75UkcZg9rJ/JP5qrlrHmNL/knDzy8nCXpSRXH2MmOhrrQv0Iap1cUb6szbBjp+j33j0lCUaxcxHh1DYlVed1uWH7r317kTn4/6EvyGZJgM1WOPvO18v+A3CnU9JpZ9xVev62LjoHjFg6dddSU6ZMoYkTJ6qr8+wqI6t9+/a0atUqev7552ndunXk58e7TtqVl5fTggULnCKQ5e7uLvqB2QoysgDAWLXMSPnupdFT62pWDjUODTY6E0zF3Rep5mCfeFg4jxoPnHA/RXp6isbu3BNrY3IqJUefVGcZAEgxgdDa1l+M03r+mdQMq6+LIzH1ad586Qo5k9fW73SIZu9P/7NFHDvqj2zcQL2lniCWMcEhQ8EvzcwocXt6gliaDdu19bmaPuY+qpOTS4NOnRXr7V5ZTsiZWFs6tqMXN28zO8Bmr3bEXaWhrW5WXslt/YXL1DA4kDrXN60CYurm3eJ4eJtmYliTNtpepjzMaVdcIvWLakze1TIxpabZfklbH3WbBrKGDRsm+l5du3ZNBHYCAgJ0LpuZmUk5Ofz1Ecyh+YGBjCwAUOmw8gcqTkym5J//pLyjFaURCjei2PoRdMcrT5v9QD3fswt9c/A4fbn7MH19T3+jM8FUOq3/FU8S2KWcyoyVYB8f8gz0V/fDCkjPFOUR+bn5pAjV3iMLAVr7dT03nxKyc6l7owiDy5oy3dGxwlg1FWr01uHvko4WmANwJsY0UDeHOcEvYxq2c2kg//DzS7/eFQGywiLRE0u1rKHsMkuyvWylTMGhOutOerYkOKswMaj8+4nz9PeZGErOzadHb21PjkCWQBaXE3Lto0paWpre5fHhaT7NTRQZWQCgUpJ2gy6/8xmV590c9+6uJGqZlEJpM2ZT8Oxp5Nu4gckP2NBWkbT02Fm6nJlN51MzqE14GB50cAo3CiqyCUN8q07Z4qlbYkdgxWrSNRAbAVr79eSqzeL47/H3yv4rsyHWLLUCsPW+ib7YqEKhpKyiIqrtr7tqxxIbLsTRjcIierhLW7Oub+19KmMaqFubsQ3bOXilGewyKrtMR7aXtSc3mqJcoRSlpP46ygv/PHmBNsbE0Q/3DyF3d/t+r3fTsnpJuRX7CxzIchSybA3PPfcczZ8/n958801q1qyZzrpHLiuMi4uj//3vf3KsBgCAy0r+6fcqQSxNfD5fHjXtNZNvl394eLNvd9En642Nu2j5uBHk7+2lNxOMPzGDunaiiEfHmP8fApBZWn6BmObpU+2LcqC3Fzluy2JQKVfybplxgSy5kpO2XU6Q7QmxZMebr6tQKsSxKUNAXFGujl5jYJovdkeLHlyLRw+Rpa8VZ44zcwNZ1mZMA3Vz8NuCuW9nFxrU15qNJUV2ma5sLzmb11tq1dlL9MPhU/TJoD5aL196/Kw4zi8tpSCfqj+IWcPhxBSKqq29lNCUzwtHSs6VJZDVsmVLmjBhAn388cdGLc8BLTCP5oZoq7p0ALAvZdk5lBtd8SVOl9xDx6ksO1ddPmUs7oHVqXaw+lez9//dRrOG9SNFUTEpfIq0ZoLxG1Xu4RNUcD6Gmn06lXwa1dd62yjPAltKzS+kcC07VBzcmj64Pz27ay95FhXXuNwj0J+KriaZleEI8uHvRD8duZlD5+xfkdaejzX7ulyCMvHvjSJIw4EFLw8Pm+yIOYL3Nu8hVybVTi4HsVhKboFVG7SjCsh4G7t0kC27jC8v9vKkkPz8GllX9tpbK6OgUBwfS9bfW8wWMguLaMa2/RTkbf77tiPGEWTLz9MsLdQlNTWVNmzYQB9++KFcq+FSHG/zAwA5lGVmG95rUygrmlmbGMhS9cCarnneD0vF8VUiCup5i55MsAKKeel9nbeN8izHx1+Evos+SXc1a0yt69YmR1FWrqAbBYXUuk6tGpfV8fejAafPaQ1iqbZrczMcQZ6JTQ1DAkWp6D9nL+EhNlJ25fb92IqNDt00W25cVg9VHU+yvx17R6SrgbolmVrGxB3j6oRR0/SMGg3bzQ0YGZNdxpe/ubbivcYUjthb62L6DUrMzqP+zZuYfRtZhUWirLGhju/shaUVPy7nGjmURltAWtu0UQ7eHUhIpmGto+wyCCxbICsoyPDOUXh4OL399tuUnJwsjsF0mg3eHTCQCgAy8OQpJVyfr9DzpuDuJiaySc1QJhg4t4vpmbTuwmVxcKQd4et5+eLTtF5gzcwA9/x8apOULEuGI0iroKRUTGwK8PKihzq3kfXhtccv9ebCsCAwelup9rUir7hEtBrQxpFfIUoze39ZQlsDdYW7G728fovB7KbL9epSs+tpVYJRu1u3oEk79hi87rI7bhd/V2/Ybo+4txZncTFb9c/aGcc/25o++fO34+eob1QjesyMRuoT/togjnV9r3LTcp4UcYHpW/dRfFYORQQFUNeG9cjeyPaM5+fn0+rVq+nq1atUUlJSI12NywnPnTtH169fpzlz5iCQZSbNh9XU6QQA4Jw8Q4LJo3N7Kj+mqzU1UVD3LmbtdGudhsi/6DWoT3c8cj8lffGNwdvwb9uSCs7FVJxA/yyn4qifQ5dvVGRZNKsdqjXD0eB+i5kZjiCtkspWFdyjhHuZaDJly3S1puwO+rK1OmcKXlqCs1dVbWGKq7WHUTpoiZK2/6MtaTZQdzeilxVnKWmbHmjMdVXLShnA0pVdxgE2n9JSikzPMOt29WVy8X3qImWQKy3fvG0jNb+AVpy+aFYgy5rcNN7mrmTlqAPW9kiWQFZSUhL169ePLl++bNTyoaHSZwUAALiqcoWCvq4bTk94eZFfaanWnj71Jz0k3TREImqelEyxX31Pvm5u5GbgS6w6iFWlf9Ylam7mJEUAqcqFmmlplMoZjkpD27VMGY5gv9ys1I/FGvYlVPQrgpqKNKaoQcWPFVx+Ws/Ph34YO8ziwJ+1sgHXX4wzafmE7FySE0/246bo3E+KS/Gk6GVVfXqgKde1RnaZmICoJJr6z7+y3Ke+RvG2bBLvKJSVr0VH+iFHlkDW1KlTKTY2llq1akX169entLQ0cnd3p7Cwm2PaORMrMTGRnnjiCXrxxRflWA3XKy1ElywAp8PN1XVfVkzu1b4AlZUr6et9R+jFzdt0Xo97+pgbMNI3DZGDZnk+PhRYrL2XkD6WTFIEsNSljCzy9vCghsGBWjMcs1s1p9ALlyTPcATQ17fNWlLzCvBESJx94axKFRXbZWJOns5+Wdd0XKaNEyRvGY2H5KiylFolp4hwgWZPKg78mJrdZKiXlb7rrm/byiqN0zUDbOFZ2bJMZ7Q3J5PTaMPFOHr9jm5GX6fUxsPvlMqbE5yTcvKogZbvQy4RyNqyZQv99ddfNHp0RfSTe2AtWLCgxhTDL7/8ktLT06l58+aS3v/GjRtFA/ljx46Rt7e3yA77/PPPqW1b/SNYORX266+/pm+//Zbi4uJE4G3kyJH02WefUUiIceMsbTu10JZrAgByUDVXN8UQG05DNCeIpYI+Q87N1uUmmkFh7mdVlpVDnqHB5B4USPHJadS8bi3ycNf+Fdvz/rupcPZCyTMcwXHJXWZmzTI2/BBqnKPXrsv8TDi+jTHxVbLZuG+dv7eXTdfJXmjLGOJPnNbJKeLw1bBBWgNLurKbjMm+0nfd0tJSsvYzY8xEQ3PxNwxt75qFXl5Wn3b47paK6aYj2jQz+jrczN2U71Nz9x6lno0jqFfThiZdT7MJfb3AADGZWdOZ1Ax65p8toh8Xfw7xdZSuFMiqXbu2OojFOCuLJxQWFBSQv//NRqpTpkyhOnXqUI8ePWjUqFGS3PfWrVvFfQ8YMICGDx9O+/bto7Vr19KePXtEYKtp06Y6rztt2jT6/vvvqW/fvtSsWTPatWsXLVy4kI4cOUL79+8nDw8Psud+JPa7mQGALXA/K6tPQ7QE+gyBjYLCb/BI7Y+n6rw88LP/yZLhaIkTyanUvHYoBfqYP24b7JetA79Q09x9R/GwmGBnXKI46Bv8EXsjizrVr4vH1ciJfOaUD0pxXakYM9Ewrm4dKvH0rJJBdqVOGEUZ6KulK/TPP0BZc9rhnD2H9V7+5oad9MXd/Sz68SKvpJS2XU4QB12vL31xgeKyctGEPsjbm5aNG06OSpZAVrCWiOeECRNElhRnN6nv3NOTAgICaNasWZIEsvhDn8saOWDFZY2qpvMc2Nq0aRN99dVXNHfuXK3XvXTpEm3fvl0c8zqxK1euUO/evenQoUMiGMbZWfamXDOQhe88AE5HW3N1VYP08AfvJXcfb7ry4+9UcuKsuIh7+QR37UQRj44hd19f609DdHOj41Oepn+upohf/9r7etNrw+8SP5Wdn/Sq/jcqNzdy9/fVWk4p9f8F5KH/6bXvvgsdFLZN6zfFlcwcem/LXmoZVovmDL/T1qvjlIGh+MxsSs7Np9ubOH/fPnx/rOnyjSzacdm06WSu+DqyNOD605HTdH/7luTsuCeWrowhzYl8/L3J1sEmW/un+y0ie0pbby1zM7ms+dge1sjczNXSJP1c2g2yFbfK72GqwSi5JSW0PTZBrJMjJsTIEsiKioqiF154QZT0+fr60r333kt33HEHvffee/TRRx+JTKzAwED67rvvRNlhdnZFk1VLHTx4kJ566il1EItxUOqLL74Qgazz58/rvO6qVato0aJF6iAW4+ytN998k15++WW917WXjCxHnRYFAKY1V1c1SM8/e7HidV94M/DjJmPzdO4VFHRrJ3H7ugT16EKPDrqDru04KBoI7+PpP0fO0qu9u4rLcg8e030HSiWdn/iK1os6rf9Viv8CyIj7O3y0fb9VMpFuFBTRXc2bmHS9oG6d9W67oWs3E3XrpDOgPG/fMdoVn0jfjRxEYf62DaxmVr7mYzIyJbvNXXGJFFUrmBqHWq/8wh7o2hGfvLaiz6C+bBI5TfuP3z2tA98fa3r53+1We/wdFb8Xa+srWN2BhCT689RF+mzIHeTtaV/VLYVaysWNpVAoaZNGKaU+3Njd0E85HKThwI2zB7KM7flVPYPMknJEvm6tvHzRpyywqJjyfG/etpQTDauLz6yY+ic1NzN/KFRWft5d1RhmMGfvEXHcrWE9g/djb2R55l555RW67bbbRFkei46Opq5du4qeWH369KEZM2aIMr2ysjLxwDdsaHxtpz7ca4vvp7qWLSsi/Q0a6N6hGz9+vNb1MOa69lNaCADO1tA9+fvfdDZXV+iZaiVX83R9gQCm6hU09c6etCUmnubtP0bn027Q0/9soW/vH0YeZy6IUixwPidT0kW6u7nWnosVPVXGdmytdznORGKmBLJEf7cjJ/Uuk3/khOidpa1pO2cEdo1qTP8lptDR9Cwa0iqSbKlQ4klqJWXlNGv3IZsGbqAqUxpmW+r3k/b5Yy3YH2W19+LFow135fxkx0FxzN8Ftly6Qr2aSrdPNeO/fZRuQUP+glLj3kuLtCy3M+6q0dc3pjcUXy6yj5ycJT2/LPH8lu12OdHwWnYupeQVUIsw+ScfX0jPVA+4qU5fPoy9Tm+VJZDVrVs3+vHHH+ntt98WmVdNmlR82ezevTstXryYJk2aRCUlFal2PM2Qe1NJoW5d7TXW3J+L6SsN1BVM4+tyw/hhw/SPmGU8qbF9+/ZaLztz5gzJobxyegjDL2oArtPQ3V6bp2tmgA1qGUld6ofTpJWbxOkbb3+i97ot532ktYSSyyTB+S06VBFoMhTIkq2/m4Eebbc0CCd3Nzc6fC3F5oGsTyt3DKVSrrRsQl5idi75enpQnYCbfVDtjdQ/9tl6whSALeyOTzT7utlFxbQj7qo4yFHGZQ5jM06+r/x80pRZWCxpb6gLDeo7fTaWJX279GVycbN8c8nZCP6/2ASDyzy7eqs4/vUBw7EGlaXHKtqJ6CNlodaCA8dpaKsoi25DV4yE4yfmDv6TLZfuscceEwdtmU/cTH3NmjUiI+uuu+6ijh07kpx4iiEH0UaMGGHWdSdPniya0huTrqfQCCxpsqR8Mjf3ZvpfdTl5eWLqhGq57Gw/s+8HAJyMQkmZVxPJm6T79bPx4jnqv8tz86g8O5c8QoKo0I3EDxfV3+u4DfXSe++i97Yb3vGOnTqTFPkFNUsoz8VQxIzXyKthhGT/D5BensbnEau+LRQVFYnLC4uKtH4mqq5r6PPS2OU0lXu4icCooR5tBR7uVKzndpsFB1D0lWuUkp5Bfl7yfIXS95mvou9x1rWsvuUKS8vMelxVnlxREaxePkaumanG7yhrPjZVLsvOJoWWxvj83a36dXg4kbbHQ/P71unkih9JnZXq/23M9uhMEiqDsrq2I1c3r7KRdXlZRSA3JyfX6McqLz9f67KW7CNVvz3VbVV//apOFxdXfA6p5OTkGLX+51PSKJZ/EKn8LOPbLSi8+T4hhX/bt7Hqdqd6Dh0FPzIJQYH0Y68eIpMrqKiYcitLBL/4e43Ztzv06An6tWc38bfIECsuoTwfb5NKD3l70PbcXc3M0rm8+v+l2lZ1bIuat6263uozF6tcnpNXc1sUcQGvquFTfdtXUbXXBt8ux2rKKmMbln4m6IqRWNJnT5ZvYdxP6t9//6UhQ4ZoDVI1atSInn/+ebKG4uJiMYlwyZIlIvvLFBcuXKCYmBiRXWaMFi1ayJZ5FRISovV8v4wc8vKqGJ4aEBioczkAsM/SQX0N3QM6taP8k2fN/1nF3Y1qNW4kbUaW5ltMvXD1n/wBp+/9Z/79Q+h01w70wdabfV/uimpCz9/WSZSYX/n0fzrLFjm4lfvHGmr6zmStl+trBG/osUcTeekE5hWpP49Y9e2Be2by5X6+vlq3FdV1DX2OGbtcFSEhlN3VcH+32o31tzoY0raF+GXyVGauyDiUi7GPgSnL6lvOm8ewm/O4mnAf1qD0rroNauJ1C9IRyKp+nXNZuVr/T6rzgoKCdN6Ps9D8f9v6ebWmd1ZX9EZz9udXCvwYrb18zejHKjAgQOuylmxf1W+Pb4sb9Vd//apO+/hUfA6pHNPYj9LHx8dHvRx/lvHtBvj7m7SdGOoNlVW7Fll7q3PU7bzUy4tuBFb0Z/PS89heDg+n5qmpejPv2qak0ier1+u83JjSQ94eTHkstX2uhAQH63x96NqeVecVunvWuC5/TlV/belbR81tXHW7fNqtMgBl6WfCuXPnTMrUslkga+jQoXT16lVauXIl7dtnvWaV2rz//vtiWqKpDxIHwHgC4t9//03+/vabKq9ZTqhZZmhL2HEEMK10sNV3X2ht6J5/4gyRhweRmSUsQd27WLWs0JAOTRrSXxNH04+HT9Pa87G0+WoSbU1Mpjl3dKN8A/2LOACh63HU1wje0GOPJvLWY+l0K2v1d9PnjshGtCj6JG27fFUdyLL2Z16elilIIC3u5QMAhm2NvWJ3D9MvRw2XXWlOTTRG9fYtGQWFdCwp1SF6Q7kCXY8tH7+8saJ0zx5LD8vKFSaXuXLmsaM1ZZeLLIEsTrlkzz33nFHLcwq3HMGib7/9VmSEGdPfqvqXbW5Yz03peXKhPSu3w2bv2HEEMA03ZdfV0J2DWOVubuShJQjg5ucrspm0NX33CPQ3asfc2jzc3enpHp1ocMumYioYfzn8dM1WetlGQQ59QQhka7kWYyZ8Bnh7UZ/IhrT98lWKzcii5mGhVv3M23n5Kn1ZWdoDNSeIzd9/HA8LAEgu9kbVErFnVm2hYgv65JnSGwoseGyVFZlZ+mqylAYCQUOPn6Zf+/aS/GmIu5FNL/1bkQFqyuTBaRqVDVKy8W+N9hPIevfdd+mjjz6iCRMmGN0c/uxZ46Pnxli2bJkoJTR2HTS99dZbNHHiRNl7d0lBUVgsRokyZVFxjZ0y7IgB2B43Mb/8zkyt0/rcA/woN1r/zpe2IBZTFhbpDGDzfRmzY24rkbVCxHS0fVeu0debdhv8osECOrWl/JPnTGoEr6tsk6+rL8uLIVtLWsZ+SZMLbwsq/xw8QZuPnqZ7e3ShoV1Ny9ge2a6FCGT9fuI8vdf/NrKmfQlJVr0/R3IyJY0OJibrXWbFqYt0a8NwalZb/ulQAFDVF5WTUZ2BJUEssB5jmuwb0jopWWR5SR14rJ7RZ2zWevWgqi7JufnUsk4tSsjKoYjAAPL29CB9HDCOJU8gi5uje3p60htvvEEzZ84Uf+sSFxdHly9flvT+V61aRcnJyfTaa6/VyPxasGCBWK9Dhw5Rfn4+3XnnnVWWee+990QGV48ePWr0yzp69Cg99JD1MxwUHKDy0Z41EPHWhzRddWLFajqt54u7NnIEulT3yet9dvwL4u92yxaQu69Pxf8FGRDgYlJ+W6k1iMUUFoyNdga9mjak2596kHaePkO1L8XpXtDD42YQS6MRfMH5S9R89jSdQbuStBtayzYNlZkxlElbB5fF771ifIBG9eONrudH1+ea6nweo/5P6g0qiahH/Xt0JncTm7ZzEKRXkwYiqHQh7YbeQDVnRhZdTbKLoPLac7FinT8d3IeKy8rJV6Zm9faQoa5Nal4BLTl2Rhw4iO7Iv0Jb63XJGbS68I8QIb4+1L6e4WFIAAD2ytBPbPwuyCWKcmfQKSX+oXDW7kPUMiyUXljzn5gg/tGg3npv47gDDjCR5VvMSy+9RCkpKaKpF2dG6RqpWFhYKJaRckIDTxl85plnqH///jRu3LgqnfIPHz5MixYtEk2J+/TpI+6X779164pR3x988AEtX76cLl26RAsXLqzSLys6OlpnkzK5XX38VbrqQGV+2nYiOIjF56PsEJyRvoBHWXauwYwrQ2nNnEHUZvEc8gyu2u+KA8P82nJ0/AGsN4jFdPz6yQEqLs2Mmlb1hwujyjZ5Qk371uTu410jW4szvfB+ZR2bY67QNweNLwmbvmK1OD5deWzq5xp/qcssLKJne3Q2O5jzSJe2Iij0+oadNO/yZZ2Baj5f3/ZpTYsqx8d/c+A4bYyJp8Wjh1CdAPvtAWqMSxmZ9Mq6HfTRQP1f0Jlq8hIYZ8Xpi/RgpzY6L5+5M1ocawYFHVlyTh4l5er+rAD5nE/NoDbhYXiIQRb6muzvbt2CJu3Yozdri5flflum9q0yZPFR4/qzacovMS1mklb5Y7m5QSo3VwxkBQcH0/z589WnOTvKGuUGBw8epFGjRokAGQekqouMjKQBAwZQeXk5de7cmbKysig8vGLq1rx580Q5JONAVnWPPvqo+H/Z6wuUf6F+9591VbKfmKEdMQCwnKWvM0PvgDxNzTu8bo3zUTpcgQOFJalpNQJ9xgQRC85cqHqGRqYXWEdybl6N8zjFXvO7wZaYeHFsyaTAhQdP0LoLNzPAh7Yy/7YahwZT09BgSktJo5xDx/S+hnMPHRfbor0MXuAgFruSlevwgaxNFyv+L3+fiREln/pc1xFsBO3Opma41EPz9D9brH6fquxSJhpUFxVTnu/N/j7cwNoVcKm2lIEszd1KzsQMD3Ts9zmwjKEm+4ZKDy80qG8wG+uRP3VPPdRGWxmhMaWFs3ejR6YmWd4hn3rqKfrss89o/PjxFBUVJXpVacMZUXv37qVdu3ZJcr89e/YU5YOGcKkjZ1hVzyLjgz1qvHgOhYQEay3V4x4dpRfitGY/GSrzsyb+Eu/t62s36wNgVe5uPPJG58WiPxT/2lNY5DBN26WmWQZdlpNLZZk5RMFBtP/0Bar71Xf6r6xU0vmJr0i6PpzFxdlaxVeu2n3JmLNZdSZGTJJaOvZuCvXzpeKyMpq3/5g6kDV/cH96Yvtu8tOSza3vedEMYo3v3EZv2ZQx3r2zJ7338wpyM/TdU6GksswsuwlkqUz/bx/d17Y5Pdm9U5Xz0/MLaMq6HfR6n27UpUHFj33a8JduDg56eljagcRyxuwAcJmFVKpPMHNG/JG17vxlcisroWFmjFoH47NLdXl33GiXeBjl7J/4xMpNTpM1CJYzp8n+fx3aqoPOUgWc/z4dU+O8P09dNHi9C+mYqCt7IIsn/T388MO0ZMkSg8ty4EmVFQXaaQamqp9X7OFhdpmfJQz1juG+NMnf/6Y+fX7SqyKrhHfIq+9gSLE+ANaga7vnYKyKKkDbauFn5B1e0TvkyucLKPdgxY64NmI3UEsQyxGatktF8z2Ag96qDLR+/r501kAgUP8Nm3/dGtla1UvGvv+Nmr4zueZd4v1MKCkrN9hcVN849Al/baBFIwfRR9sPVLl8wOlzWoNY+kr5uN+Ppoc6tyVL1Q8OpLG9u5Ji41b9v+i6u5FnLWmai2vbkr/YFU0ZBUX0+dC+NS7beFF/ye7qc7E1AlmcHcFlEgsOHKfvRw3Wed2dcYm03sDt2yveHtzIjdz5/cEAfgyHtoqqct7X+46SK1gYfUL86Dysg+4SQ5BPnZwcSjejGsTRMr0u38gSpZ38nuoIsotKbL0KdsPfy5MKSm9ub85WerilYzt6cfPNyYJSBZz3XLlW47xtsQkGr5dTXHPb2xITT2dTXTPAJds72euvv27Ucv7+/rR48WK5VsPplZQr7LKUyiMwoGZz5YPHqODMRdGY2btubflXEsDK231Qt87qvy8+N5WCuneh3PuG0I6WLann0dM6M0h09dcBIs+Q4IrHUU8gMKVBPQoLCSavczE1+lxxo31917WErqmHmHZYYfW5SzS2Y0UPSnP9b/8xupqdqz5dlp0jJgiRCaV8nNE1Ztla9eV/jBtBUhlyawdaUT+CWien6FyGt98kpZLe/2sDfdD/dmoeJu3EvN3xNb8Qq3AwSi7XcmqWhNqKqaHqscvWikbli8cMJaWBa/Nj2K1hvSplmPb0f5eLK2Sd2doFA+8dQ4+fpl/79nL6TK9zaTdEaadUmVMcpNY33dRSUtyGs/j2voH02IqN5Mylh3IEnKVMQpxXmbHuiiwKZNWuXVudEtq2bVuaOnUqDR8+XJzXsWNHo29n7NixlqyGSysxY/yrqsxPzolcuporqxozN32rImsFwJlUmYTHwdvoY1Rw/DTdqac5IwexDE0XdXURD48S2VHaAn5Fnp4UmpZBXknXtfa5avTyEzqvC/L65dhZiwNZ1Rt0l2VmGx6lrVBSSUoquft4iZMPLVtLXpVfVt+5sycFeFecLwX+/qNvR5RxJvI3py/SjcIi+u34OfpgwO1kzxwpfqFZkmTs6HJWqlBQekGh3f9oCM7Lv6hYZH/ow0F73rGWelqauZletlZYWkqHE69T76YNjcqmBPnxDwLOXnooR8D5UkYWuXrZr80DWdws/bbbbqPvv/+e2rdvL8kKgfTTC7hfiLYyP0NZCvqyCnT1ulIUl4jb1/dNWPxanpNbI7AGYA2WBHB5uy9OTKbkn/+sMuXOIziIyrNztF7H34jXKErR9It56X2dl/lqlFBoC5xf+WQeWYVGFhjc9N+lK5Scm0+P3NLOrIfFvdqXKM9aIRU95Qxc79Ir09R/T688XvTs43R7E+uX6XIGsuelBFHu41ZSUuM9yB5e/+YEr+z7661pUzOhJmRkySuwqMjg+xhfztkhpgay5Mr0soXc4hIK9PYSO9TfHjwhSp9fKiuzaPAHSMfSXpP2zpYBZ82BBbagdIBftSwuLfz9999FTyywLlXwh9/gPap90dcMDHEQK/a1GVrL/Cyhq/dWWVaO4W/ECiUlzFpoVP8sAGuXB+oL4HLvt8vvfFbj9aQriKXm5kZtFs+pMVUP7FtAp7aUf/KccQtrZIFx+TTeyyrMrewlxIGs6zoydfU5U21yGpea8gShtgbKC7WZf+8AkoPqh53FR07T9pPnq/Sj+XPcCPGecyeROLDT//verktRjf0BVtty3OsmJTefejVtqHMCpZQ0b9Wc++AfA785eNxlgnamqN5XDqSVx5URBoLyfHmxl2eVnleGelzZw463VC6k3aDXN+wUwzm4ryEHsViKiTv2y0+el2kNwdnJGXA21ue7qg6oM4XS5ML7m/YnJJFTB7IaN24sSRDr5MmT1KlT1WajYFxWlXtkJLUsL6cee6O1Boa4jE9XmZ+qp0/jV5+WbIIg/1puTHPlKk2Uq/XPwg4g2CtDryedlEpSFBSRe2UDczCNrtLLoivXqmTe6PLNoLsoNaSijKJVWCgNbdWM+kY1NBjUbPDkeLr8zkyTyhJV5dPVm40Dicws8RhZ+CsfTxCKTEvX2nNOqSPoIOeUSdUPO0/07kans3KrlAyUeUlXxmgK7gu26swlo5fXfEZ0PT1nrqfThbRMGtWhpc4+NC//u10cq3rdcBDr3qX/0F3NGtOrfbqRvf16vOK04SlRjqB6oKM6c5p7c98ilWXHz9GYDq20Dm/4YMteeqtfD0lLdl1BAQ86MrAMX/7m2o1am1PrauZeKz/f5jveUjlzPUOdNWlJNu2vx438QQrAzIAz99SylK6g08X0TJs8L9ccoBekRYGssLAwSVaCJxyeOlVZpgM1lF5LocTpc7RmVd179LQovfAuKalxWf7pC6Qw0AMi9+hJUmhc19IJgsY0ZtYFO4BgDbrKAw2VhZ2PvULF0cfM+2VewqllrkjXe5J3RF3DgXN3NxrXvxftvZFNB64m05nsPDpz6CQtvxBH/Wa8Qbc1akABPl4UUlZKZZk55FkrWJ05ZyjQZWyzcZCWvglCul6fuqYZSu2r4XfRrF2HaFd8ojg99ve19PPs6XTp7U90DnuQI8C2+mws/XZC2p23tzftFsf3tm1Onh7GlZOoYkucSSFnIMvcEgiezugM5G7u/fvJ8yJQdV+7FlRQUlpld+tYciptuRRPI9tVBDjtzc7LVykuM5smdu1AzsLQ822tHW85lZUrqvQBTssvNPp6tuJo0yItxT9QODtjAs6cJS5FUNjRpz/agkWvKE8JXpAZGRl06ZLxvxraM4VCQfHx8erToaGh4mCpzGX/6MwC8dUxglysT74RWQQKpdh5k4KqpJEzwTi7ypzMFewA2oZcjf/lHChgLl3lgRVlYTHU7NOp5NOovtgxOnwtlc5cT6N9CSnkmXKdnjczkYSDuwhqSE8Ezm/tVLXJvpbHvlPntqKsi7/gbr+cQH+fiaGsoiL67dxlcVD5bMgdVNvXlyJ8fCwrhRLvq1ku95xHXzWu3E8Vc1AolFZt2Gutz5c3+nan4rJyOphY8Xhsnf0dtdXxWS11gO10SjqdSEmjAj3fDQwxtOnnl5aSr9JD0qlLrtCU1tFlVQb9Hvzj3xqX2XMrlS/3HBbHtghkGQpscGZVnZxcGnTqrCgH5B1mDsNcqVOb6mflaO0BWejlpTUorulK3ToUlZYu+4631LbExKt7Xz3+90b1NpdTXGL0j4jJubbLInG0aZGW6tYwwtarYBc4S1xXVqw9BS+VJr5R8w8A5gyVM7bPOh9YaWkpeXjUzPY1hkWPblxcHE2aNMns6+fm5tLevXupRDObyIFxUC4qKkp9etq0aTR9uqrNrHl41HjhsdMkG5EpEmzWRENd5Y4cyOISQb5MvYPp5kb+HVpTwSkDdeouugPoyH2jbHG7+hjadvWVB/JOpWZjcT/+oK48MKWbG7mZ+EHAGRf8mgB56AtiMc3HnrNI+EsyHzioxZkEH27bXyPjRMVLo3xD5Y/hdxocaMHbibu/7vdRWzX3/vHwKYoMDaYBLUxrCfD36Yvk7eFB97RtrnOZkrJyWn8xzqjb23Y5gV7p05Xu+/Uf6lI/nI4np5q0PpplNSrh2Tn0/JaKsjZ7+Hx5r/9t9PuJc/TPwROiH40+udHHqTQrh7xCDU8R4+CfPlM3V2zDA5o3IXNpbtpFpWWih9TYDq3U5z3y53rydHenhzq1kbU/hynMvRcOODpDZsb8wf3pie27tQY4OPAhxZS60vJy0ZfVnhrD8/bJ7032OsHOmMBGcu1a9Eu/3hXbSWGRyJQadfCIzkEm/Bzn+fhQYLHubEJ9QSy2sUsHq5apGmve/mMU6udLu+IS1UEspmtn+ly1Hooq9hrTdtRpkbp46HjdTeragX46IuO+q5XpCjjHVA5V0Jcl7sjBy93x12S77blz59KMGTPUp+vWNa/1iqelgZslS5ZYchOyNgG1Ni61jI6+2atKimwsHjUu509d/h3a0LX5P5s80bDVd1/obCKv6nXV9J3J6kAGN7p29/Ghsw+/YLAMCCVY5rPHDChrM1gOZsH7TbARrw1twTH0fbMdXY89B7W6N4oQvXx4B23DxTj6/tApg1/Y03x9RRmqvgAaBzvPT3xF5+W2au79z9mK7GdjA1lf7TlC9YMC1CVq+gJZ5UrzyjlMDWLpel4yAwIMTzO08ucLNyfu7elOWf/UzGCpQqmkzUdO0fABvfUudi07V53lZUhGgf7PgpqroP1z+aPtB+hkShrFpFcdFV7mJI3AVSWgUv+abSiAoS0Ya0mQYMDpczqzdPh8qabUPfbXBq3nb7l0hUZXBjuXHD1DzWuHUJ/IRiQ3Lt3l4Pz/ZBrkYM3ABgc5+cDN2g0FvwP0BLGMoS+YYuusIs0flwzZesm+Jo4607RIY/APGtoE+XiTM+H3ZW0BZ369fvLH37ZePYc0ZcoUmjhxovh78ODBtsnIcpTRjNbi7u5OkZHSjoPdmZFNEWZkgai5Ebn7+2stM3T396OiS/FV+2gZOdFQf1ZLRbPjpm9VNJBn3HOGgyiG+mfJVYLlKgEeczOgVM20FUXF6sb/rRZ+Rt7hdSxaH0O3a5PnxZjXUotIokvxNfpnufEXTTPLZkH+RvBlObk1+lwZw8vDg+5t20Ic+DNtZ1wiza4sR6nu2dVb6RMDWWDOgjOnpFL9u4LU3x2M6WNhixLfBo3qUxYHz/X8fzkkFJ2bT8MN3NbRpFS9mRNlBYXq885cTeL+D2ats2asn4NYrLi8zKwfKa35FVHOKXtc2hQRFCDZ7ekKFuhr4q0r0GVM4EOKKXX8VJbqeIw1mwKrGuhXD2TdKCgkfy8v8vWSNqMnnqdl2ylzAhvGTEkz5uc41ZATbduR5rbD98cNrfk91BnYaq/UmaZF6sOBY9VrTvU5/t3IQbT67CV1VrZzpKdopwo4WzMb1hKxGdlkjzTbL3lZMBTHok+Tjh070po1a8zuJ5WdnU3r1q2jDz74wJLVcGpbrqdTt4hwapd83azru3XuQA2fHE9ZPy+vUubHWVeKwiK9o+V1TTTk8kNRWmOgVKJEI+WXAxks4uFROgMBHoEBspVg2aLEzZFoKxW9+NxUdamovowiQ8Eo7kml63YvPvOm5M+LtuBZg68/phjeDi7FU/f5P5K7ob0rVRCrSv+sS9Ts07fFoXqj+MBbOlC9h0aSX3PLp7iCaTSDnVwW7W3hZEje+b6zWWNxYBsuxInSKlPwF5uX9x3QOu2Qv9hs23OI+vfpTvaCywJzioupToC/bPchVenRPb+sMvu6tijx5T5uhqI53K+msPKLsejjFpdIIzoGiaxBzfdX95KSKsGr6sGQsytW03QzMyeMmVpoCr4NOZLtfzt+jrzc3emBTq3FaVVGf2pegcgek8vrG3bS6kdGShbAkDIbxlrj4S3dLh5bsZECvb3o93EjyBWYG9gwZkqaIXz9zMAAEfjM5kPAzSAsv4fUv5EpyqRaJaeIoIOqTGpLx3Z2u2OuWb3DJa4cRNG2Se67kkTRiaa/9ixlrdehrX0+tG+NPnkNggOpYUgguSJrZcOaa/FR5ynxlDyQ5ePjQ02bWrbj1qVLF1q4cKFFt+HM3rmzJyXVDSHFF98S6ciqYtqmExZ4e9F3DepT+p4jFN6mDb1cGcg689qzFBIcRA2nzdIbNdc10VDBv9Aa+kajVNLFZ99Sn1QFFFRlidX7ZxkTMAHDzM2s4iCWoVJRXc+NoSAhByh13a4l9AXQ8hOSKO7H39WnE19+jxIa1Kd9XTpQnUYNqPlV0+u++f+g2T9LTakUQS0+uHpA1Bnd3TpKHFQTzrg/kKGsiQf3RWsNYqm+2CQtXUFkRiBLrgzGV9fvoCtZObTq4fuMnkZnquplm0v2HzXYi0UfzcyUn0YNobqB/qR44G4xkTTllxWUe+SkOpqiyqi0188X7lcTqlDQtweO07m0G3QxNZ2yFUSP3dq+yvsrh1Yt67oprf9iE/QGLt1l+F3+j5MVfTbVgazK81ONGW5joRuFhZIFMLQxpom3tiCCtcbDc7DQUnkl5g8hsFe6+qHxsTmBDWOySw3R18xdW7CU748Dr3yIDa9j1zvmjFsBhPlr356lntZqLGu9Dq3ttT7dqmSo+3hqLwEb0Lxpjc95Z2etbFipHLJBgNeuA1lFBr5UG+uBBx6Q5HacUW1/P/Jo1Yx85kzXGfxh1S8L7N6ZFPcMoeHePpSQnUMp6Znq2/wrPolq5eXTy4aCUQol7Tp+nsIrT6bmFVJtTy/yrBVieOS9HrwzUb1/liqLQq4dNW0BHlWGmTMxN7PKmFJRc6dq6btdzvrjbUFb4I3P07c9GOyFpYG/WLRNSqZ22dnU+OUn6Nq8H3UGGgB0CfH1ET21VE23v9xzSDTD1Py125gvNlGJSTqn51myzZsbSOUgFisuL6fT19Opfb0wUW5pCkMfJ+su3JwOyW79+Cu6lczHmSmP3dKeRndoqf6lnt///FpEUdSHb4jHVzR2rxVq8+Eh/PlTPcDGAwEuRtQTGRAcmEjPyKJLGTf7UCVm54pSLHODH3w+Z12kBwcZLFE7eu26mOSpkmfkAJ4kPdPBVLkS1mr2bg2f7bzZA9XSzAxzm3hrCyJYazy8of5s22MT6C6NIQPWnkpqK4ay6EiGwMavvXvS6OijOl/7+pq5G9IsNd2oHfNsHf2RrGXrpQTqGGFZ+wspWet1aG2hGvtJg1s0JQ8dz3uAt/nlYY7K0bLwPpIxa9khA1lXrlyRpFn77NmzLbq+K9AX/GG6LutUuVMkAgWLKhrzfz2wF2Vm55Jy0396e2/xB+zPsVdIVfz1+l/rxA6br6cnPdKoIUUl6G6S6ndrR2r27ktGbRuavWzM3VEzJwCmKC4hz9AQh+utpW+deGfp8jufmZRZxZMxuRTU3LH1urLAuLm/oelunPVXePkqpf7xT43Am6lN1Y2hzC+ghE//Z9FttPhqBvk2bSjZOoFj4h20N/v2oDf7VvSJSMjKpRfX/mfcFxul7ul5pgRopbY5Jl5MGhrToZXIBqqebaDtvafcy0v0x9l++apV13X5uBHkr+eLMz+2tg5gqegKsHUKDqQt/2whyq0Z7L98I1uUYtUf3J9e2LOf3LQEtcrd3PRmThg7SWnaf/uqXLaqciiArgl1xuC3/eKyMvpwm/N8cb6g8YOgPpaUhhlq4m3ur/u6xsNLOYFuzt4jVQJZH23fT9MGOE9jaznoCmzom5LGwW9uPL0wJFgENnmbUF3Ot8dBLF2lf/xDC38j0/fN3M3IHfNsGUvR7ZmhiaT6WBJgtBV3jf24yb2q/vyk69u9uXGBr0fcRS//a2D6sB1x1iw8R2LRJ1hubi4tX76cxo0bJ90agVH0NTI2FBjKrCz5M/Q2492uJb0Rf3MiyBv/bqK05pF0tHdPir69O0WkpJKfll9uuaTxq4gIyvhrI9Xy8xUHLjOIrBVMDX28KdjHm0I4a6xy+aK8QrL0JW5MAKx6ppJqQqO+TCV77K1l7o6urswqoyZj6hlbrysLzL9Da6NuN+6DL8waOKAq7/JTKOitlWsrzpw6meiz+fJN+nR3I++IcKcZDgDS4C9tTWsFi2wtDgyf3fSfwebej23ZW+WL718P3WNUE2SPQH+t2YR8Pr8Otb2XqQJQqi/gmgEpDkCrzo9PSRN/X0q6Top2zcXfmtkGp7VkHujrw6TvC//CAf3osV37dGYU/N3jVp0ZB/x/db+eRmSnpYL6VA+wLbp/MBWUlNboOaIqleP+G9qCWMzDgvc5Y/rc5Bsoc9OHP/P3JySpm8W7Es7MUI1lN5UxQQTOqC/18Kjymvpk5HAKy82ju85eqBL4UO1g6QpqyjmB7vA183q72iN972UXI8KpVYrp01f1BTb0TUlT4dcvZ+fpulwb/qHF0hw5W+2Y83RhTSl5+RRVov/HaFtk4HGPMV0BSFs2/TbHPW2aU4PgiozzO6Mq+obKqVlt600VtocsPEPtFaT8ocFZWfwIPfbYY7RlyxYaM2YM9e7dm4Id7EXq6mr0L9LovaWIT6zyBZqzt8IvxdHwlFSR2UP9b6dri36lfC6V4PiDmxsVt2tFiYPupK5BgZRVWExZRUV0o7CI0vILKS4zW+uY0kuPTlb//efzk6iWrw/V9nCnrrMWiPNKZ0+n0JAgCvXzNTsD0JIeUM5EW2aVUaWiesbW63psC05V9DIxRFt/N5XMFlG0smd3euK3P8Xpr+4eSAVBQdSqTi0a06g+dVCUU8Cq9aS+55n/syir6sqn/7tZomsnU8/AsRjT3Ju/1PKOqOaXmPFLV9FdUU1o/Mx3KOWTudpLXz08dJbE8vm6SoBVwe/pOgJSmn2XVEPsT3/zk8X9mMwtueHg1X2Hj+vMNtL3f3VEnFnGQVAuJeQsLFPKVM2lr8+Ntp12r/IQyqrcro35cm2tkkJLKwLkYk4QixnKlmHPb9GdscCBKc3AxrurqgZIwTblg5fr1aVm19PMCmxUn5Jm6uWapGgkr94xtyDQbY5PdhyscR4Hy+1NqaeH3gCko/B0d6ene3QSf//6wDCRhFBd9enDfJ0yCafHdo6oSycc/McQfVl45gz3AAkDWdOmTVP/HR0dTQEBAdS3b19LbhJkHE2vb6KcKRMNNTN7ot59Sb2T1LaypLGHluvwmx03+YzTEsjSdDmvkHJvZIsv0l0rz/tk/zH1F2eeVsQZXtyrhuu2g329xenan75D/56/TE38feiehRUllG1/m08efr5UVq6kq18sMKsHlLnN0y1hqJxR1W+l+uQ8/3YtDTdQVyipJCWV3H1uluS4+3hT0K2dzA7g6OuvZamQS3F0p8Ztv7LxP9H/rcGA28VpDqDlm3rferKquCF0wfkYnRkvtph6Bs6Hd3J1fYHRO4ag2i/SppQAm0vfBKsib2/ZJljp6xMk1//VHnpickDrcvJ1ennLPrN7LRlDX4maFF+u+XcRew0y2TNLHzHV61H1vBqaQKfqo8YM9VKTEjeO5wybhk70+tWFX8PrbuksAhq2DmxI0Uiey1RD8vPJJy+figMDZN9W7I2hiaSqHwlMCTDaIx+NPpm8z2ULI9o0s/tAlqEyYEfLwnPZQBbIRzS99ikSx5rnqY65Ybm2y5ihEihtvbe4t5HmlEF9OxGaARF95Y78hTbIx9tgYG2Zr68YBZ/FDeorv0w/17YFZfj7UXZ2DqUVFIrJYVk5eZSYllEl8s8fonz5PZWnn/lzA93w9yOfwiKaeui43g9vXTtF5jZPNxSMsqR0kKc+auuDZewUwEuvTDMpO4/Pj3h4lNb/Ez9mhvpr6VLk6Um+BtJq+TlrrpmyzwHR6OMUezaGfJs1MSuApi8op3UqYSUObrlC1h7I09xbc3qevu3MIjpKgFvO+4hip84khZbJbm7+frT0lk7UIzZOXR7D2bVpUU3ozxbN9Y6W9i0p0ZvZY+gLv0U79HrKnR1N9ffWWu5utPqBuyn/RhbFbtwqSzDLkga0xgQvRfY0uS5dk03fXHsz484ccXXrUFSa7mbc1V+PhkbD6+ujJmdGwBMrN4lj1fAMW4i+mkz1gwKocajhHU1L3stUpXiOEtjg4CervmNuyzJVe2HMRFJ7mlJXXb1Af7qeV0ARgQGiNJPNHtaPXlu/U/z9wm1daMGB4zV6YxnL2Gtoy9xqpGUfMjxQdx+2SV07iJ6etmZMGbAupvzQUP0+oQIeCQdw9fFXqXobXX2BJs3LTO3hxMGoEo5+G9HbiDN7vOvVMSmAZkxvIUXydcrXCBzV+3gOtTCi+fe+px+lJhtvfsC+vGY9XWwQQQebRRreEVAo6cNVm8izcUMK9fOhMH8/CvLxojrZORQ4eyGR5g6gESWJcjZslisDqtmnb9fI8pJzx5uDWOamuPP/X1fGoD7IqgJrMDQ9jwNLl9+ZKf3kTB0lwCm/rdQaxGLKgkJ6aF90lX5Looz88hWadPXa/9m7D/gm6vcP4E936aCFQtlQKHvLVECGICCIKDhRFHHiAkRRXIA//eMCUcG9kCWKIBsEkb03hbIKZbWlg+498n8933LhmmZcksv+vF+vUJpcLtfkMu7JM6hKcYnJD+387bzuhzb+QGfqA79VjJQ7uxp97xfSe76tMrKM9blRmnFgskTODhlZzpr0JT/QyPT11U42Nf3tfajBy7e3aEpjt+xQfBCtRmkqBy0Tq1QhV8ODBjILioweCEsTvEwF05QEL1xpUp2SRvJM98DcVJmq0imprszVptTpmtCjs3jNjKoWRg/f6MvYvEZ17eV1Q0Osem1VWlD+0q0dafauQxXO+2xIH709sz4Z3Fsck0nBb8ldzRs7RSBLztxgtaVfNHhC0Fgp93hlAau+BdbN5vLmD7f8CmYimKWb2WNNAE1JLytTbl/0V4Xr8cFYi6uJ1Cojk8pM/D18eZqfHyUkJlf4luCxbbuolYEDQL6tPTO/o4QxD99oah8gfspH1VqT0aGvnJEPisUkQAtwEKf++Kcpbd1/lYJVXFZYKVjF9/uBo0ZLDq0V1u0Wyt6n/nRCS7OqTGUMAphL3/Q8DiypHsTi2+rYlnyq3vwgWlamofjLV0XWpLHPpIaahgeZCGJJH9qtzTLRu01hVak0M8vg5ehXZx1DB9dqZRzo9k7xtMllhg7clXx7b+jyyIxMsw6i1ShN5aDlL7d1tfj68w6doBFtmomMfHt6ZdV/lJCdQ8sfvZkZZylr70dnm1RnTgaJ/MDcVIBb6ZRUV+YOU+rayBIQjLHmiwj5NbvWq037r1beb5pFVKOzaeWTYFvUqEbBBqYQt4qM0Hu+JRljzsSWPTANccfm8q63xR6owS+zKIwbCOshlRaq9S2wqZJCWzOVbRTapQM1ePVZ7Xa2XjRX/P3GmnRzJoJPeFUqzTB8UBTWrSPNfXS4tpdXOo8WTr5OZUuWGd3e8DNx9OPug5U+APjdO5R8AwMpwsebnl74pzhv98RxVDUsRAS6Sss0YqpT6/AQynvxrUq9t6TeZbrljNUH9VM0kS+oTQvKO3G6Qt+ziCH96fKn31QOEioIVFX54TNK5+b9mVlU+92PtY3X+VvmR3buNfrhJqVJFDV+6xVqVC200hsj/515J8/YrMeWuTCNEGyNpxpaWo5ryuwaNalgwQoqLiujwhv9tCIzs+gFK4IKSppPG2JNU2FjQSzmTv3qjGXoeQcHUYMJT9P1DVsrlanuatua/rpxHd1giqk+V9znRt+H2mq5uapkHLh3GEudPmLmNvE29yBayfKmnt9S0LLYT/9BZqX16bzWLI05Q9mFRfTSbbeQPXEQi/HnLFNKSssoxcAXlmo0SHfmHjlKM0iszUqzVS9FZ5xIqnYG3qMdWtHCo8oqEG5tUIf2XE6scF3uM/XIkjVm366PSoEiQwGnTnUjtYGsz4b0JU9jaYBcXnIYZGb2ozs2l0cgywVwoMaaUj1LGeuZxGVoAfXr2P0AL/vQMSorKtL+LvqDFRaVf8A3cVDEBwT6ymv475EOiqReXnwqyMikMyY+BBnLRvhz4jjKycrW/r793AVteYH0xl54+Di1uPH7qXFv0uk6dehUmxY0dNtu8pc3O76RlZZ5LFZsI2ebGeTlRWHPPkZ548szrGrMnEY+NapTwqzvjAaMclo0pXMP3kMZBUViHHxafj5l5BeJn8X/7hbbO+Twcap9Y/nx6zaJN+zdzZpQg7Q0Cioq1nvf9nzjBQqsG6n3Nv1rVtdb0hjcvjXlHjupKGhnLOjJ/d8AnElJeqZV+7UxpvrdWMLUR9lSLy+9GV38YSspPMxoPx9ruFO/OmMZevyedX3Tdr1lqo35QIWIrmRm07gVmyq8vxgrH+KDMGP7ihoZBxxA2Hmx4ugCDmjYOzPHUWxx4G7uqHcly5t6fvP1QwsK6XrIzUxPY+6Z/3el8/hxNySnsIhCTOwTHGj6eNs+GtYymtrXqUlqW3biLF2RfVaz6H6vU5sW9+yu98DSHViblcafHfn+cZUsEGMZl6Z6pVmagTf/gbto9J/rTC7HpXaT12+rdP7gZlH0XLcOdN/C8mAFT/e+q0XjCs8vQ9NkuaSQg7/y12djGVlVfH0pv6SEfLy9jQatGhroYSlfdyMFPer0r4OcnrH9qNDP16IAuanehm+7YDDKGs736gFOP9HQWJNzmx/giQa/N7+p5w/2PGHR5PU0RA0nPUdpazcr/nt8q4WJPixi/JIF3m7ZuPz+u/H75NUbyPeWtlQyYqh4w6j++SrRLFnirSFqlZAoDjp8Dfw93vkFlB0QQKHGJnppNJR4I4jFUl9VNpQh6PQ5WhNzRrzA8vsD16SHVw2mRrVq0KVT5+i5zdvIT94HjVN+ExKpbVYm1X99nN6SRe6vZWxf0dtLTKOh3KMnTG9vmxZUePGy4QmDzzyKDCtwOta+rkiv2yVZHNTIIt9qVUVvQ1v25SMLyhL5w5apIBZnIvEXIrp/iy5Tl7syRV/gyIaR6GtuXz8sVPT54VLSl1b9S5czs42WD31oYnqwGhkHnJmz61JChfPe+WcHfTGsvJG0Whx1LKNGHzFbMPcgWknQMtuGE8s+236Apg0wfj/FpqSJLBM+mdscPkf2GUsMINBz9HvuegYF+Vl3OLT2lnbiOSfvh+ZOrM1KMzap1xkPvE1lrhhjaQA7vEog/d/AXvTWPxX74OkG/+Wldh/c2ZPe2bhT/H9Q8yjy9fGmh9q1EC1SxnSu/Fpg6FDpo8G308nkNGpcPYye7NSWfjkUY/S1lZdfc+o8da5bq8L5vP1Ljp2mHo3qUtf6tSnQ15c+27G/0vW9VChD9zKwhTMG3k5T/tlOrr4fWaqOkUm03/bvQ09s22Wyubwr9blzzq0Cu7BkoqF/pPrfhpl1gOdFlDTvD+2v3C8q+JY2pnt6eXmJKXfyssTm33ApX4Th7QmrKvqwGOvPZajUkSeW6ev1VXLoOPmcOU/NmjSkXNkHrAq3a+JFncfSl1UJFEEtNfEHlM963EIRzZpQFT/fCh/4LmzfSdmyIJYcB5Iufvilwf5alvZLM5UVqC2dNLBN7pSxAe5D6esKv/bqC+BIr9v+gYEVXo9t1kDehrghvr6/RZepy12Z8i9wTE9o9Pb2oq+HD6Di0lL6N+6SdvqUbvmQqUlJamQc5Ovpr3ae/1Y34MjJZeaOeje1vKksTiloqaywUD/d2BFnWElirqVSQXEJBVoZSJL8efy0aIMgkaaxSY4lplCjalUpTBacS83N15Y4qXW/uxslJXWuxlS/IGP4NdTQAb812tWu/D53W8M6IjD144EbXxTLdKgTWSkb6rFbWldarmZwFUrJzacQ2aR5Oe7v27NRvQrluMZ6UHET9pd7dKp0foua1em9/reJ/wfceEo/3aUd7bxY8UuNtrVq0NWs8vJfSxnavLa1lfUAc1cvWZiZ76qZXghkqaisrIzi4+O1v4eHh4uTu7D1N+FKDvDI24dyjpyomL1zKIbIx4foRk8YvTQaOjVmYoWzzjz/hvb/hoItnK3F0wkNBVPKs35uvnlxmaNveNiNUpFcVSfuSfi1u9H4p+n6P1srZUBFPnQPVYluVOk62ibxxg6YvL2oTv265KvTcNGWPX2MZQVy/7fi1Ot2naQIYA+1Hx0hArGmsgnNCeDYqoF8ky/ep4B6dcjH26tCYI1/6g780Kfp59MpsFE9t86qsvkXOGZOaPTz8aHBzRuLU2ZBIX2+4yAdTLimeFKSKUoO2p9fsYnclSMnl5k76t2a0fBqNSrng1ieIigp1dwMZHEvvwcWrzI708qQ3w6frPB7al6+9v/c+/TtjTuoepVA+vX+wdrzTQWx1Lgf3YE1QSxDvdg4cO6o/lnWZMvwayhnXNoyA29I88aUV1wigkzDWzcVgSz+v65PB/embfFXqTG/lxgpRzyWlCoCUKZEBJXfRpPqhtdnjhrBQRW2o7i0jGrKponqZkn6entXGLplbkaWMzGVuXv6RiBcN0DOf5mz/XU1soz3LTVXRkaGOLHi4mLy4eN4CyCQpaK0tDRq3Lj8G2Y2depUmjZtGrnTRENb9+YyFjgyGqzi8w1cbiirRwnO6omeOdVgiSXjRvO6GWK5h02Xxlnj0kdzzMqA4gNi3majWSBdO+r9xl9pTx/pgNUcxvYjQ2WH0t+JCYPgqowFYS3JJlQUbPbyElm1YnkzShJDmjXR/l8eWPPmAzgFARj/2pFmB+U8iaIMPQOvzUpw5gmXbnFAi3tWzdu6z+SkJP4g/dmwweIgXe2MA87G4fIXV+Ysk8vMHfWub3lFmUYKgpum8EG0JCHLvM9j8gPWhKwcsU8bmnBmDAcF2HUrs9nNvd/B8EE5B84dVYZrDVtlXEq9rc6kpov+VlGy4NSyR+/RmyXVMjJCnEwFk+6Ibqjo9vs0biACj90bqNsHWZpUaOr1/43eXenDLXstysh6oXtHcqXMXb586a1dKgXI316+mpzN4CMxqq5v9uzZNH36dO3vNWta9vkQgSwVRURE0L59+7S/u3I2lqmJhtaUi1kSOFIUHCorpZCObW5mbMkCTtxU3ODVCgq1gTt9l/F19ZUkcvng+bc+qlQ+KDLEnJDJ7DIDU8CUZgxIB6z2ggmDAGYEmzUaKssroMCoBhUCSvKAsDlZUyIA06m90amn1gRgPInJDD0VJjTywf+QFk3ojgA/OvO38Q/JfJgRUFwiMg3UzjjgRsQrR98rvpXnEhZTJWVFJaXk72vZN7W2Ym7TdWfmiEyjV1ZbPpTiub83UtUAf1r40NAK559LS1fwEujuszRti4OeEt5XAnJyqZDbPCiYkuqooJAxxkqsyUEZl2x6/x50Li2jQhBLyrS1By5RVxr0skWDdiWTRiWcXSkFpkd1aCmCf5Z4rlt7+m6f8aFhts7cVStArrFRNhc/T6VenWqYMGECjRkzRvx/4MCByMhyBt7e3hQVFeXozXB5+npz8QHYmRemGL+ihqj2Ew/SuSNTzerpZW6TZHlJos0YyS6zdGKkoQmBppqy2zpjwBBkXIG7UnvftqY8TR4QNjdrylgQi6kRgPEEamfoWbuvGMsmMtVXxlhDWOm6xXkF9MTSdaKsbOmoYQa/nDiVnEavr99G47p3EEE4fYxN1nIkNUry7M1ZM40u6PRWy9IzBXHimi123CLPJH9uc4C72N+f/Pz8jGb2XawRQY1T04yul5etlpNLxT4+qjeZNjY1jrfVkiCWmhmXHJTV3Z95ymBHA5O+1TRrSF/KzbGuT5W5jPXd0p1ieGfTym1SdF/7+f6TAlm9ZBUht9SJpMOJyYq3i5d3psxdU1OHjfEi2+BtUNKrUyl5+yXpdcQSyMgCpwoi6Ctp9Pb3vxFiNt3Q3Vv2gsDXk9bnbNk7Qe1bUeH5Swayo4Ko/vinDU4BlBokm8tUqZ6xLDt7ZAzocrbHDMBZ921nzY7CwAXno2RfMZZNZCrzwlhDWOm6p5auIOlrqRjZ+nTfgw4mlB+IbDh+mgY3Kg/mheXmioPRS2fjqX6D2uRjYGiKrXlK828RCCgpIT8vL6uCDNZkQ225cNni61bYBtn/uXQLbJ/Zx3f6lL9Xm8xMeWHjfzZpMm2rqXFqZlyOaNPM7Ov8NGKQ6FtpjWY1qlGmn+PKvDvWiaQlx09Tf53sr3phoTTv/sF6+4Hpeqtvd1p16jyN6dSmQubu9AE9qKi0lO5ftIpcMXPXmqnDZVZMFzW1XnN6ddoLAlngVEEEUyWNRmk0FbKllJZCSkE7Dp5pywe/5fLBGuI8eTN3ScHFq4oaHevDWVX1nh4l/q8vO4oPMGw1BdAVMgYAwHyOyI6ytCwRDN+PLDMzi8LCbBcIMbWvBD86guhykuoZEJZ66ueFFPPzQvH/yTfOy9j4H3GbWJ6btVJW8qTLViPDPaX5tzWBS2f22rqK0wzBdpl91h5UO6oZvL0yLp/sbP66ImXN0l2JPIOWpwv+/vDdevvdVQ+qomh9daqG0LPd2uu9nQAbvfbbez/SfT5ZO4n2Qs0aVOTrW+m6AcXFFGUke5KDbh2dsFWE8z/KACo1bjcWtCu4nCD6cknOjJui7a8VGF55coc/j8g1VcrDBwTtW92cUGhq4t6NYJWtoFQPwHPZIthsTVki6L8fxe+FhQ7NSL273210Nw+wycunMUvXK+4rwxPITAU+eBl91+XMXn4flu+nShMOjN2mqUCLocAblzkZC4TJz3fWkjx7UBpkOJFsvLzMGH27wcIjsXRv66ZmrQctspwTH1g3Trk5DECXNc3gTU2NM4YP8M/XqklNrqXYLOMy0AWCLbZkydAGqSzSFdgic9faL1H+7nqLuF1zM7046PYQOR/PfgaB0zEVbClKua53giCXvlnSN4rxh+e4SdMrNW3nnlDcHJ2bz+seBCrpG8W0QSydrCpHBJ2sOTBCEAzAuSE7CtTeVyKCqtCqx+8T/197+jx9s/eoGDtvqK+Mkn4zhpbhzN7EnxdT46mTKKugUBzgSdPqLjaoR40uX7XJA2xp6ZGrZiKpHQhQGmQ4lpSiaKIl97vZHHeJHmzXQjSdNuT3Y6do96UEMoemQnGh6Ylj3KyZ+9xwiRDY5mB+e4umNHbLDpNNprmkmJlT2qpkapwxnIHC+7YtMy6n9b+NPMEng3vTpYxs1dbHZZFqslWvRVtn7uZZOonWgi9gnC0rUoJAFjgVU8EWfY3grc0C4A/PhrK8+Hzpw7U5UwCtDQw5W38oZ9seAKgI2VFgy32Fm60PrF2DTi5ZZrOJSVn7jlBRcgqNWV3euPv2RvXEAWxDE0EsQ7fJ2V91rqdT6o0AnVqljp5CSSBA6cQ5nsJmzK8HY+ivE2cp1N+fsouKKD2/QEwg053cJncxI4vUxNl50gFg88QksU/JDwD5gNTRutSrRQeuXiNXYuxgPjIjU9Fkt8mrKmaGKgkoK5kap6Tsy1YZl9HVw6nBjcbm7q5VZIQ4qeH5bh3Mvs5Xw+6g2iHl03dXxsbR/CMnyd7slblbbGHwTHcqqau8VyKQBS7DUCN4axq6l2RmUfa+I0aXyd5/RO/IUWNTACMfuoeqRBueuIHAEAAAuJISnh5noj7Lmu+1vTQaOjVmIk2TnddfyfWMZH+Z6hdiSekRB8icsW+P2pSOj+eJcxwEsmbaHAexGAex2NozF8RJyghUw6ZzF83OzuO/j/cPPn0+5E63f8ztfTDPGW/WMPY8VLJue5QP6pKCta1VCux4mqEt9U+wNUYeEH+wfYtKgaxaLtpzTM3gme5U0szg8sCfs0MgC1yGqUbwljRBV/LBnPtg6Rs5as0UQAAAAFfiywcDCnpDqq2MJxLbqMERZ96YiwNk1vTtcRVKxscbmzinRvllUUmpamU/K2LjrLq+MzzmUrmtu7C2bNPYY6Jk3fYoH9R1e1Q9EaTtWAc9JZ3BK7fdQj7ejpveCNbBIwceTfvB3BhvL6ccOQoAAGAvojdkp8oTomyJs59sFcRiloYFpJI6d6ZkfLypbBlrbTgbT/Yqo9S4wGPeoqb55Y0zh/QhZ8YDJPh5ro+1j4mxdfP58vLB5PAwu5RR3d2yCc1/4C7q1sCyvr6e6of7BtqkyXvnerVUXyfYDzKywGXYouG4kqbtfLluNpattgcAAMBZmRpWEty2BeXGnFbt9pQ0kLemZ5elPb04wMMZHM7eP8SRpGwZaxqnb4+/QvbA2+flAo95r0b16NYGdUUPsXc37TS43OiOrUX5VO+o+tS8RnUxPKFANqFT0rluLTqY4NieW9zP59s7+4r9hQNTUolffM0a1MTINEMlpa2G1s2ZWBzEckSpaEiAP4VXQd9Zc9UODRYnNUzr34Pyi4upV1R9k8ve2qAO7bmcWOE8fx8f8vby0vucAvtCIAtchq36Shlr2u4TEiwut+f2AAAAuCI1g1gSPvD8uW8vuv30uUpTmOr4+lBVI83gvWyUkcW3z2VI7o4bAIddT6chsWcq3PfnIyMpOjnZ6P3HgYMn/9tG0ddSLG6cHptyXfQUcoYySns85tWrBNKkXl3o7Y2VJ/l9PrQv1bvxpWqjalVpzrD+9NKqf7WXrxx9L90z/2/x//vbNqcOdWpS8xvT3QwVHjzTtR0dXOH45vEcUNIt8eMo85S/V1td2qpv3Y4KRnJ2XDUPeN1wFk/c0kY8V8zNwhrTqQ39eugEBfv56e0+89KtHWndmQvi9QkcC4Es8HjGmrbXfvx+MSkRAADA08kzkUuysqkkPYt8q1Ul3xuTAfX2jpRpuOhrmrR2KxVmZooMisCiIhq71XBmCeMD2dzAQL1TmD78/S+j11XS48kSnNHhCdlYIqulWnil+55/jl+/yeh1+X5vei1Fb+N0LvkyNk1S3nhYagDv6DJKezzm8x64i+K5d6seTSMqBv90D9DlvcS8vb2oRc3qNy/TE3Kc3t90v6/+0Q3p37hL5Kjm1NaWtsozruw1Nc4QDopwdhzYz/3tmlt0PW7Ez1mNPRvVpV8Onqh0ead6tWjN6fNkK/2aNKD/zl/We9mEHp3otoZ16aHfV1c4f0SbZrTsxtAMc4UFBtA9LaONTnP88M5e5IwQyAKPh6btAAAApskzkf0DA8k/sqZZgS6+/k+jhon/ZxUU0jO/LTcrE8bcg1FbNYKVeut4kgr3vca6IKGpaZJqNIp31ce8bmiIKAUc1aEl/XwwRpV1vnBrR/p0+37t78sevYf8fHzoamZ2pWXlmV73tIq2ayBLTc7QnF9Oyo4D5+d1Y7qhPhFBVUTgR56o9XSXdvTjgRuJECrgQBUHsjg49WTntqTRaLTZln0aNyBfH296oXtH2nLhMp1MTqOxndvSfW2aUfvaNWnav7tMrr9rvdq0/+rNQScfDbqd6oeFUkhAeT+5qgH+9PG2m68XdzZtRO1q1yBnhEAWAAAAANg80CVXNTCAljz7MF24ctlo7y1jmTBc+ibRl9kzbekKo9trKDOo2MeHIrJzqN/J05XKGbk0zpLeOjzi/VpOHrkDaxvBm5tNYw+8L9XIyqY7j59U7TG3hL+vD/15I9hrbiCLJ7D56pnA1rtxfXH6/egpSs3LF0EsQ83UVRoSadPHRGlpKz+nnSVzcnLvro7eBFDI2KTUGkHl73HyksMoPeWL1vDz9halwtJ28E8OJm08d5F8btQJ39WiMQ1uHkVXMrNFEEq3ZLJBWCgNahZFGtJQ9SpVxHlSMPu9/reJn8N+W049GtbVXn9Iiyba63erX0e8Fjk7BLJUVFZWRvHxNyeshIeHixM4NzRtBwAAcM4G8sYyYeQlaJm+vpQZHGxWcELeq0n3+nminLGGar11XuvVhV5fv83i63sSR2TTSM3B9ZWwOkoVX1/KN9JQ+tmu7WnhkVh6pcct4vc7m0UZXd/DHVpW+J0zPXTJD+F9vLxFU+syG04OteQxUVra6ujm/LpN3sF5cfYTl/UG+/tRM50yXnZ7VD1qGFaVBjRtKH5vFVmdzqali/9zJhRnUe2+lFDpeo91bCWCQq+s1p+F2jQinM6lZYjsx5WxceI8bmqvG0x7pUcnevm2Wyqc7+XlRQ3CKwfROKPq6+EDKp1fI6iKNhDG5MEyXbYOYmVkZIgTKy4uJp8bwXVzIZClorS0NGrcuLH296lTp9K0adPUvAmwATRtBwAAcE6/vPQEFZWU0rWcXHp17VazJkWpEZxQq7cO9zTiEo43N2wnd2AsW6ZJcrLRjC1T0yIdnU2jZj+lwc2iaP3Zm19ym1N6Nvee/vThlr3Ut4n+6WrDWkWLk9o+u6uPmBjZMLzyxG5XKW31lIEMoA4u4TOGg7ryQDA3hJcCTxwMeqtvdyor04jgFjf0f/ufHdQovCo91L5i8FjqNyUNdLi7RRO6I7qhyPBqVbM6hQcGajOkzMkUk/z5yDC9WZmsda0Is9dnK7Nnz6bp06drf69Z03D2tjEIZKkoIiKC9u3bp/0d2VgAAAAAhpnqqyV9O8zfPHPJFWeRJGTl0PMrjGdk6HJUs+cH2janmGupou+RvOk2f1O/4Eis3beH+7tkFhRavR5jQUJTTfhNHT7xYVi1nFzyKykx2gjeFTzRqY0IZBkqLY0MDqLk3Dxx0KurZkgQzb67n822jct7WVR4VRreuin9ffIc1QkNET14pGbxvJ/+drhyE2g+WM8pKa1w3lNd2tJPB9Tp6+UKzfnBc0nluRx80jdk4YcRAw1et32dm0Gbno3qiYASx5R6RekPWJsj0M81Xh8nTJhAY8aMEf8fOHAgMrKcgbe3N0VFGU/rBQAAAADz+2ox/tBfLyyUVj1+n/a8s6np9OraLeTv40NFpRUPrh1taMsm9HinNuL/8i/ApXKtelVD6GpWjtF+KcVlnF9iOZ6+tfNiggiq/XPuIqnN3CChkkbxL2z8z2UawZsqKZP21Vk7DlCH2jXph/3HKbe4WJQK3dGkIe24eJVubVDHIUHNL+7uR7VDginI348GNG1UaZkH2rWg+1o3o/sW3uw393D7ltSrTgTFpOfQ9/uPaffle1s3o7i0TNGE2tGcaSADl4CCa+Im53uvJFIbnWwmtvzR4RVK9Yz534Ce9O6mnaJ3lfR71UB/lwk8qU3efsnPr7zJvCU8894DAAAAALfQrEY1bbCgtKyMLmVk0yfb9tOVrMpT2exNfpgjlYw82K4FhfiX98zhTB1jgSw1uhO92ae7yGTjIKAtAlm6TPUmMzW10Nkawavl1V5dxM/oiHBad/oC9Y9uSD7e3tS3SQOHbVOT6qZ7+XKG1qwhfWnflSQxTZH3o8zMTBraMlKU/C4/eU677KTbu1QIZPGB+2U90xHdpTm/ErYo/wT74N5VHerU1Jsxyc8LpTrWjRQ9qeS/g/UQyAIAAAAAt8CBgcbVw+ibeweI4E1hSanI0jqamEKf3JjaZKusC85O0SXvVxIa4E8rHrtXlKBw36/84hIa2KyRKC2btHarWIYnTT3cvgXlFZfQiyv/pUfat6Q/jp+mQhOZZr0a1ROZPXJBfr5iPfbuh2LLxumOaARvDi41ik25Lv4/umNrvctEVQujcbd2JFcLFvNJX28heSBL3yRF3SEH3IPrtXXl+7s7NeeXvNqzM3VvUIfyiospq7DI0ZsDVuDXTX6+qsGRPancFQJZAAAAAOB2+MCBSzf4dHvj+tQrqh699c8O0bPKFlkXUiBrUq8utOX8ZTEOXepDJOEgltT368H2LcT/w6sEipKzo0kp4vcawUHa0hX+1r9+WAjN2HqzB6u+A2cuYdMNZC18cKjBUsvG1cLoQnom2Zq+skNjjeKjk5MVN4IPKiikkIICygkMFH2TnAHfrxN7dqbIkCARVHV30sF5iL/+8qCmEdVEMGvrhSs0rnsHqhFchQJ8fUUG5bDflquyDY7qf6fr/QE96L/zl6lP4wbiec7lmtJzGQDUh0AWAAAAAHjEQfeMQbdTXlGx6Oszef02VcqeeFIUGxDdiPx9ykvFLC0X4ywy3dIVHu3+fwN70eydh0T2ltzSUcNEYGD/laRK6+Lr65a/cMbQnsuJNPqW1qK597EbwTN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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 1, figsize=(9.5, 9), sharex=True)\n", "\n", "for ax, R in zip(axes, [30, 100, 200]):\n", " o = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=R)\n", " o.plot(ax=ax, seed=0, label=f\"R = {R}, {o.wavelength.size} bins\", title=\"\")\n", " ax.legend(frameon=False, loc=\"upper left\")\n", "for ax in axes[:-1]:\n", " ax.set_xlabel(\"\")\n", "axes[0].set_title(f\"{PLANET}, clear, 1 transit: resolution trade\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8ce48e36", "metadata": {}, "source": [ "## The binning module\n", "\n", "`observe()` builds its grid with `lazuli_exo.binning`. The edges are geometric,\n", "so every bin has the same fractional width 1 + 1/R, and only complete bins are\n", "kept, so the grid can stop up to one bin short of the requested `wl_max`." ] }, { "cell_type": "code", "execution_count": 7, "id": "7bab55e3", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:13.977083Z", "iopub.status.busy": "2026-10-12T13:30:13.976922Z", "iopub.status.idle": "2026-10-12T13:30:13.979946Z", "shell.execute_reply": "2026-10-12T13:30:13.979670Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "145 complete bins over [0.4000, 1.6930] um\n", "edge ratio: 1.010000 (expected 1.010000)\n", "fractional width: constant at 0.009950 (spread 9.47e-17)\n", "shortfall below 1.70 um: 6.99 nm (< one bin width of 16.76 nm)\n" ] } ], "source": [ "from lazuli_exo import binning\n", "\n", "edges = binning.constant_R_edges(0.40, 1.70, 100)\n", "centers = binning.bin_centers(edges)\n", "\n", "print(f\"{len(centers)} complete bins over [{edges[0]:.4f}, \"\n", " f\"{edges[-1]:.4f}] um\")\n", "print(f\"edge ratio: {edges[1] / edges[0]:.6f} \"\n", " f\"(expected {1 + 1 / 100:.6f})\")\n", "\n", "frac = np.diff(edges) / centers\n", "print(f\"fractional width: constant at {frac.mean():.6f} \"\n", " f\"(spread {frac.std():.2e})\")\n", "print(f\"shortfall below 1.70 um: {(1.70 - edges[-1]) * 1e3:.2f} nm \"\n", " f\"(< one bin width of {np.diff(edges)[-1] * 1e3:.2f} nm)\")\n", "\n", "# bin_centers is the geometric mean of the edges\n", "assert np.allclose(centers, np.sqrt(edges[:-1] * edges[1:]))" ] }, { "cell_type": "markdown", "id": "9c019709", "metadata": {}, "source": [ "## The instrument response\n", "\n", "`observe()` does not simply average the model into bins. `bin_observation`\n", "snaps the constant-R edges to detector channel edges, convolves the stellar\n", "photon flux and the in-transit flux with the Gaussian line-spread function\n", "(sigma 1.15 px), integrates per pixel, and then combines the per-channel depths\n", "with the channel 1/σ² weights. `obs.meta[\"instrument_response\"]` records what\n", "was done." ] }, { "cell_type": "code", "execution_count": 8, "id": "949c7748", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:13.981624Z", "iopub.status.busy": "2026-10-12T13:30:13.981527Z", "iopub.status.idle": "2026-10-12T13:30:13.988543Z", "shell.execute_reply": "2026-10-12T13:30:13.988281Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'lsf_sigma_px': 1.15, 'resolution_px': 2.3, 'R_instr_min': 100.59561419775318, 'R_instr_max': 368.7306328000536, 'photon_weighting': 'star table R=10000', 'edges_snapped': True}\n", "\n", "525 native noise channels over [0.4000, 1.6993] um\n", "instrument resolving power (2.3 px per element): 369 at 0.40 um, minimum 101 at 1.02 um, 165 at 1.70 um\n", "\n", "plain bin average minus instrument response: median |diff| 5.7 ppm, largest +255 ppm at 0.768 um\n" ] } ], "source": [ "from lazuli_exo import tables\n", "\n", "tdir = tables.resolve_tables_dir(None)\n", "wl_n, err_n, meta_n = tables.load_noise(tdir, PLANET)\n", "\n", "print(obs1.meta[\"instrument_response\"])\n", "print()\n", "R_inst = binning.R_instr(wl_n)\n", "print(f\"{wl_n.size} native noise channels over [{wl_n.min():.4f}, {wl_n.max():.4f}] um\")\n", "print(f\"instrument resolving power (2.3 px per element): \"\n", " f\"{R_inst[0]:.0f} at {wl_n[0]:.2f} um, \"\n", " f\"minimum {R_inst.min():.0f} at {wl_n[R_inst.argmin()]:.2f} um, \"\n", " f\"{R_inst[-1]:.0f} at {wl_n[-1]:.2f} um\")\n", "\n", "# the LSF smooths the model: a plain bin average differs from the instrument\n", "# response in the line cores, where the model has structure narrower than a pixel\n", "edges100 = binning.snap_edges_to_channels(\n", " binning.constant_R_edges(wl_n.min(), wl_n.max(), 100), wl_n)\n", "plain = binning.bin_model(obs1.model_wavelength, obs1.model_depth, edges100)\n", "d = (plain - obs1.depth) * 1e6\n", "i = np.argmax(np.abs(d))\n", "print(f\"\\nplain bin average minus instrument response: median |diff| {np.median(np.abs(d)):.1f} ppm, \"\n", " f\"largest {d[i]:+.0f} ppm at {obs1.wavelength[i]:.3f} um\")" ] }, { "cell_type": "markdown", "id": "20e1a15e", "metadata": {}, "source": [ "## The two resolution limits\n", "\n", "Both are set where the dispersion makes the pixels coarsest in resolving\n", "power, which for Lazuli is near 1.0 µm rather than at either end of the band\n", "(the cell above printed the numbers).\n", "\n", "1. The instrument resolving power (minimum about 100). Above it the call still\n", " runs but warns: bins narrower than a resolution element are correlated by\n", " the line-spread function.\n", "2. The native channel sampling (minimum about 230, one pixel per bin). Above\n", " it the call raises a `ValueError`." ] }, { "cell_type": "code", "execution_count": 9, "id": "9e17b744", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:13.989979Z", "iopub.status.busy": "2026-10-12T13:30:13.989848Z", "iopub.status.idle": "2026-10-12T13:30:14.024269Z", "shell.execute_reply": "2026-10-12T13:30:14.023982Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R=150: UserWarning: requested R=150 exceeds the instrument resolving power (R_instr = 101-369 over the binned range); bins narrower than a resolution element are correlated by the LSF\n", "\n", "R=400: ValueError: requested R exceeds the native noise sampling (bins narrower than one channel; R_px >= 231)\n" ] } ], "source": [ "import warnings\n", "\n", "with warnings.catch_warnings(record=True) as caught:\n", " warnings.simplefilter(\"always\")\n", " lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=150)\n", "print(f\"R=150: {caught[0].category.__name__}: {caught[0].message}\\n\")\n", "\n", "try:\n", " lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1, R=400)\n", "except ValueError as exc:\n", " print(f\"R=400: ValueError: {exc}\")\n", "else:\n", " raise AssertionError(\"expected a ValueError\")" ] }, { "cell_type": "markdown", "id": "6f409463", "metadata": {}, "source": [ "`n_transits` is validated too." ] }, { "cell_type": "code", "execution_count": 10, "id": "5e874a58", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:14.025928Z", "iopub.status.busy": "2026-10-12T13:30:14.025832Z", "iopub.status.idle": "2026-10-12T13:30:14.027708Z", "shell.execute_reply": "2026-10-12T13:30:14.027445Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ValueError: n_transits must be >= 1\n" ] } ], "source": [ "try:\n", " lazuli_exo.observe(PLANET, n_transits=0)\n", "except ValueError as exc:\n", " print(f\"ValueError: {exc}\")\n", "else:\n", " raise AssertionError(\"expected a ValueError\")" ] }, { "cell_type": "markdown", "id": "3d3b91b9", "metadata": {}, "source": [ "## How many transits to reach a target S/N\n", "\n", "A practical use of the √N scaling is to invert it. The statistic is exactly\n", "linear in √N, so the number of transits needed to reach a target follows in\n", "closed form from a single-transit run.\n", "\n", "
\n", "\n", "These are not observing-time forecasts. The statistic is not a calibrated\n", "significance, and the noise model has no systematics floor, so the real number of\n", "transits would be larger by an amount this model cannot tell you.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 11, "id": "00a11c18", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:14.029110Z", "iopub.status.busy": "2026-10-12T13:30:14.028998Z", "iopub.status.idle": "2026-10-12T13:30:14.391946Z", "shell.execute_reply": "2026-10-12T13:30:14.391589Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "transits for template S/N = 100, clear scenario\n", "\n", "planet S/N (1 transit) N needed\n", "HD 209458 b 111.61 1\n", "WASP-107 b 143.06 1\n", "HD 189733 b 74.23 2\n", "WASP-39 b 68.65 3\n", "WASP-121 b 49.61 5\n", "GJ 3470 b 32.65 10\n", "GJ 1214 b 30.96 11\n", "WASP-12 b 27.55 14\n", "WASP-96 b 20.62 24\n", "HAT-P-11 b 17.16 34\n", "TOI-270 d 10.76 87\n", "TRAPPIST-1 e 9.62 109\n", "LHS 1140 b 7.21 193\n", "K2-18 b 4.67 459\n" ] } ], "source": [ "TARGET_SNR = 100.0\n", "\n", "rows = []\n", "with warnings.catch_warnings():\n", " # one bright host warns about residual detector saturation;\n", " # see notebook 05 for what that means\n", " warnings.simplefilter(\"ignore\", UserWarning)\n", " for p in lazuli_exo.list_planets():\n", " snr1 = lazuli_exo.observe(\n", " p, scenario=\"clear\",\n", " n_transits=1).detect()[\"template_snr_diagonal\"]\n", " rows.append((p, snr1, int(np.ceil((TARGET_SNR / snr1) ** 2))))\n", "\n", "rows.sort(key=lambda r: r[2])\n", "print(f\"transits for template S/N = {TARGET_SNR:.0f}, clear scenario\\n\")\n", "print(f\"{'planet':14s}{'S/N (1 transit)':>17s}{'N needed':>11s}\")\n", "for p, snr1, n in rows:\n", " print(f\"{p:14s}{snr1:17.2f}{n:11d}\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "6c8b36fe", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:14.393745Z", "iopub.status.busy": "2026-10-12T13:30:14.393489Z", "iopub.status.idle": "2026-10-12T13:30:14.419102Z", "shell.execute_reply": "2026-10-12T13:30:14.418826Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WASP-12 b: predicted N=14 -> S/N 103.084, actual 103.084\n", "OK: the closed form is exact.\n" ] } ], "source": [ "# verify the closed form against an actual re-run for one target\n", "p, snr1, n = rows[len(rows) // 2]\n", "actual = lazuli_exo.observe(p, scenario=\"clear\",\n", " n_transits=n).detect()[\"template_snr_diagonal\"]\n", "print(f\"{p}: predicted N={n} -> S/N {snr1 * np.sqrt(n):.3f}, \"\n", " f\"actual {actual:.3f}\")\n", "assert np.isclose(snr1 * np.sqrt(n), actual)\n", "print(\"OK: the closed form is exact.\")" ] }, { "cell_type": "markdown", "id": "2ccf147f", "metadata": {}, "source": [ "## Summary\n", "\n", "- `n_transits` scales `depth_err` by exactly 1/√N and nothing else; the model\n", " `depth` is untouched.\n", "- Template S/N therefore grows as √N without limit. The model has no systematics\n", " or red-noise floor, which is its main unrealism here.\n", "- `R` sets a geometric bin grid snapped to whole pixels; the model goes through\n", " the line-spread function before binning, and channels combine in inverse\n", " variance.\n", "- Above the instrument resolving power (about 100, set near 1.0 µm) you get a\n", " warning; above the pixel sampling (about 230) you get a `ValueError`.\n", "\n", "Next: [light curves](04_light_curves.ipynb), the time domain." ] } ], "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 }