{ "cells": [ { "cell_type": "markdown", "id": "31dc6c7b-6f08-4dc3-9f22-558683da5ce9", "metadata": {}, "source": [ "# Instrument Systematics Example\n", "\n", "This notebook walks through the built-in instrument-systematics support that\n", "was originally shipped as the standalone ``taurex-instrumentsystematics``\n", "plugin and is now part of TauREx 3. It covers:\n", "\n", "- convolution-aware binning with `FluxBinnerConv`;\n", "- the ``OffsetSpectra`` loader (per-spectrum offsets, slopes and error scaling);\n", "- the ``OffsetSpectraCont`` loader (offsets plus instrument response-function\n", " binning);\n", "- the equivalent input-file workflow through the ``spectra_w_offsets`` and\n", " ``spectra_instr`` observation keywords;\n", "- a retrieval that fits those systematics together with the atmospheric\n", " parameters.\n", "\n", "The example relies on the JWST transit data of WASP-39b NIRSpec-G395H,\n", "published in Carter et al. 2024, Nat. Ast. 8, pages 1008–1019. The data is\n", "available at: https://doi.org/10.5281/zenodo.10161743\n", "\n", "Additionally, the Instrument Line Shape functions are required. These are\n", "available at STScI: https://jwst-crds.stsci.edu/\n" ] }, { "cell_type": "code", "execution_count": 22, "id": "805055a8-3453-415c-aae4-751723d94801", "metadata": {}, "outputs": [], "source": [ "import importlib\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import _shared\n", "\n", "_shared = importlib.reload(_shared)\n", "build_transmission_model = _shared.build_transmission_model\n", "## Enable if you need the opacity data.\n", "#_shared.ensure_opacity_data(download=True)\n", "\n", "# Use a coarse setup so the documentation notebook runs quickly.\n", "context = build_transmission_model(\n", " include_cia=False,\n", " include_rayleigh=False,\n", " download=False,\n", " nlayers=40,\n", " )\n", "tm = context['tm']" ] }, { "cell_type": "code", "execution_count": 23, "id": "69f572fb-5c76-4872-ad2e-211525ad8ac8", "metadata": {}, "outputs": [], "source": [ "tm.build()" ] }, { "cell_type": "code", "execution_count": 24, "id": "44ba35b2-3e16-4b96-8f5b-842650a6d5b7", "metadata": {}, "outputs": [], "source": [ "out = tm.model()" ] }, { "cell_type": "markdown", "id": "c926cf1d-687c-4412-9480-5c4b5338c618", "metadata": {}, "source": [ "## How the pieces fit together\n", "\n", "Fitting several spectra with instrument systematics involves two sides:\n", "\n", "**Data side (the observation object).** The data are corrected *before* they are compared with the model:\n", "\n", "$$d^{\\mathrm{corr}}_{i} = d_{i} + o_i + s_i\\,(\\lambda - \\bar\\lambda_i), \\qquad \\sigma^{\\mathrm{corr}}_{i} = e_i\\,\\sigma_{i}$$\n", "\n", "Where: \n", "- `Offset_i` ($o_i$) is the instrument's offset.\n", "- `Slope_i` ($s_i$) is the instrument's slope.\n", "- `EScale_i` ($e_i$) is the instrument's error inflation factor.\n", "- `WLShift_i` ($\\bar\\lambda_i$) is the instrument's wavelength shift.\n", "\n", "**Binner side (the class, `FluxBinnerConv`).** For each spectrum *i*:\n", "\n", "1. the native model is binned onto a fine grid at R = `wlres`, padded beyond the first/last bins (this is to save compute time if the run is done at much higher resolution than the data);\n", "2. that fine-grid model is convolved with a Gaussian line-spread function (LSF) of width σ(λ);\n", "3. it is binned onto the data bins.\n", "\n", "The binned spectra are concatenated (same order as the files), and the χ² compares corrected data with binned model point by point.\n", "\n", "**Choosing the LSF per spectrum** (`path_broadening`, one entry per spectrum):\n", "\n", "| entry | when to use | fitted parameters `Broadening_i_k` |\n", "|---|---|---|\n", "| a FITS/text file (`WAVELENGTH`, `R`) | calibration of LSF exist | departure: σ = σ_file · exp(Σ c_k T_k(x)) |\n", "| `function` | LSF not calibrated | ln R(λ) = Σ c_k T_k(x) |\n", "| `none` | do not account for LSF | none |\n", "\n", "* $T_k$ are Chebyshev polynomials, and *x* ∈ [−1, 1] spans that spectrum's convolution grid.\n", "* `broadening_order` gives the order per spectrum: 0 = a constant factor, 1 = a linear trend in ln σ, …; −1 = not fitted.\n", "* With a file and no `broadening_order`, the calibrated LSF is used as is.\n", "\n", "**Other functional forms.** `broadening_basis` selects one form for all spectra of the observation: `chebyshev` (default), `sigma_poly` or `resolution_poly`. The default is recommended.\n", "\n", "**Convention:** R = λ / FWHM (as defined in the STScI files), so σ = λ / (2.355 R). Use `fwhm_to_sigma` if you want to use another convention." ] }, { "cell_type": "markdown", "id": "33341570", "metadata": {}, "source": [ "## Convolution-aware binning with `FluxBinnerConv`\n", "\n", "`FluxBinnerConv` bins a model onto one or more wavelength grids and,\n", "optionally, convolves each grid with a wavelength-dependent instrument\n", "profile. It is the building block used by the observation loaders below and\n", "supports a per-grid wavelength shift (`wlshift`) to absorb wavelength\n", "calibration offsets.\n" ] }, { "cell_type": "code", "execution_count": 25, "id": "ec57526a-39e5-4bf4-9dcd-7fb86afc3263", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## EXAMPLE OF A BIN DOWN TO R = 15k WITH A WAVELENGTH SHIFT\n", "\n", "from taurex.util.util import create_grid_res\n", "RES = 15000\n", "high_res_grid1 = create_grid_res(RES, 1, 3)\n", "high_res_grid2 = create_grid_res(RES, 3, 7.8)\n", "from taurex.binning import FluxBinnerConv\n", "fb = FluxBinnerConv(wlgrids= [high_res_grid1[:,0], high_res_grid2[:,0]],\n", " wlgrid_widths= [high_res_grid1[:,1], high_res_grid2[:,1]],\n", " broadening_type= 'polynomial',\n", " wlshift = [0, 1],\n", " max_wlbroadening = 0.1,\n", " broadening_coeffs=[[3000, 10], [3000]], ## These are the polynomial parameters.\n", " broadening_basis = \"resolution_poly\",\n", " factor_cut = 5,\n", " wlres = RES,)\n", "\n", "x = fb.bindown(out[0], out[1])\n", "\n", "plt.figure()\n", "plt.plot(10000/out[0], out[1])\n", "plt.plot(x[0], x[1])\n", "plt.xlim(1, 7.8)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 26, "id": "c2d4d29a-d4d5-4a68-93ad-5d15afec4403", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Now using real profiles\n", "\n", "from taurex.util.util import create_grid_res\n", "RES = 50000\n", "high_res_grid1 = create_grid_res(RES, 1, 3)\n", "high_res_grid2 = create_grid_res(RES, 3, 7.8)\n", "from taurex.binning import FluxBinnerConv\n", "fb = FluxBinnerConv(wlgrids= [high_res_grid1[:,0], high_res_grid2[:,0]],\n", " wlgrid_widths= [high_res_grid1[:,1], high_res_grid2[:,1]],\n", " broadening_profiles = ['../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits', \n", " '../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits'],\n", " broadening_type = \"stsci_fits\",\n", " wlshift = [0, 0.2],\n", " max_wlbroadening = 0.1,\n", " broadening_coeffs=[[0], [-3000]], ## These are the polynomial parameters.\n", " broadening_basis = \"resolution_poly\",\n", " factor_cut = 5,\n", " wlres = RES,)\n", "\n", "x = fb.bindown(out[0], out[1])\n", "\n", "plt.figure()\n", "plt.plot(10000/out[0], out[1])\n", "plt.plot(x[0], x[1])\n", "plt.xlim(1, 7.8)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "def5422a-7968-47a8-9a7e-2b1d3086d1b2", "metadata": {}, "source": [ "### What is inside an LSF file?\n", "\n", "STScI dispersion files give the resolving power R(λ). The binner converts it to a Gaussian σ(λ) = λ / (2.355 R). The convolution kernel is truncated at `factor_cut`·σ, and σ is capped at `max_wlbroadening`. Only use a file over the wavelength range it covers: outside that range its values are just extended flat." ] }, { "cell_type": "code", "execution_count": 27, "id": "a969aa7e-00a9-437d-8c36-6e16d9a8786d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:9: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "<>:10: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "<>:9: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "<>:10: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "/var/folders/4c/xrxpgpxj13s56gybbsqrpp4w0000gn/T/ipykernel_63297/2942029319.py:9: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", " ax[0].plot(wl_lsf, R_lsf); ax[0].set_xlabel('Wavelength ($\\mu$m)'); ax[0].set_ylabel('R = λ / FWHM')\n", "/var/folders/4c/xrxpgpxj13s56gybbsqrpp4w0000gn/T/ipykernel_63297/2942029319.py:10: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", " ax[1].plot(wl_lsf, 1e4 * sigma_lsf); ax[1].set_xlabel('Wavelength ($\\mu$m)'); ax[1].set_ylabel(r'Gaussian σ (Å)')\n" ] }, { "data": { "image/png": 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49PodZImvblXyYXADdzXaQESGlcHOGl9WcsUXFV1w5v4r/HPyAXZcfYJLvq/xg+9rjN9xHR0ruKBzxbzI7mDHfw8RpYxAr1GjRsidO3eMxy5duqQWiu3atauamCzFUrJkyaIeb9y4cfR2Fy9eRIkSJdT3+tomLra2tupGRJTSBYdFYMKOG1h64oG675wlLaa0LYEK+bMae9eIUj255imfL4u6PQ8srJZokKDvyZsQzNh3C38dvI2mxXOja2VXNdpHRJQiqm7qKlmy5H+qbvbv3x/btm3DmTNn1Ojb/v37VREVKa4i2+pzmw9h5TYiSonO3n+JH9ZcwoMXweq+jA4Ma+SJdLZGnaZtMDx385ikROGRUdh17SkWH7uv1ufTKp03E7pWyYdGRXPCmgWTiFKdt0moumnyrfwvv/yiRt7c3d3h4eGh1sMbOXJkjOBMX9sQEZmTkPBI/L7HG/OP3IV06eXKaIeJbYqjeqG450UTkemQIE5G8eR2+eFrLDl2H1suP8Z5n9c473MBOTPY4YtKLmhfzhlZ0zP7iIhMfERPRteyZcuGYsWKxXhcdlEqc/r5+aFo0aJxzpPT1zYJYa8wEaUUcmE4cPUl3PYPVPel0t+IpoWRMa01Uhueu3lMzIV/QAhWnPLBPyd98DzwfaE5GysLtCyZGz2q5VdLORCReXubhBE9kwr0TB0vFojI1IVFRGHm/luYdfAOIqM0yJbeFuNbF0O9wjmQWvHczWNibkIjIrHt8hOV1nnl0Zvox2u5O+Lr6vlRKX9WLsJOZKbMKnWTiIgS58bTtxi46hK8nrxf87Np8VwY16IoMqez4SEkMiOy1mXr0k5oVSqPmr+34Mg97PJ6igM3n6lbsTwZVcDXuGhOWHEeH1GqxUCPiCiFi4iMwtzDdzF9rzfCIzXIZG+tArxmJWJWNiYi86vWWdY1i7rdfx6EhUfvYc05XzXK993KC5iYKS26V82Hz8s5p5riS0T0/5i6mQRM/yEiU3PnWSB+WH0JF31fq/t1PXPgt9ZFueaWDp67/4vHxHy9DApTC7AvPXEfL4LC1GMZ7KzQuaKLWp4hewaux0eUknGOngkcWCKi5BQVpcHi4/cxaecNhEZEwcHWCqOaF0Gb0nk4NycWnrv/i8ckdVTdXXf+oUrrvPc8SD1mY2mh0j2/rVkA+bKlM/YuEtFH4Bw9IiIz5vMiGIPWXsLpey/V/Wpu2dSyCbkzpTX2rhGRibCztkSnCi7oUC4v9lz3w/zDd3H2wSusOuur0jubFM+N3jULwDMXO66JzBUTtomIUggpkrzitA9+3XYdwWGRsLexxPAmnuhYPi9H8YgoThYWadCgSE51O/fgJWYfuIN9N/yx5dJjdavjkR19ahdE6byZeQSJzAwDPSKiFODJm3cYsvYyjtx6ru6Xz5cFU9qWQN6s9sbeNSJKIcq4ZMHCrlng9fgtZh+8jW1XnqigT26yJEPf2gVRuQCXZiAyFwz0iIhMfBRv/flHGL3lGgJCImBrZYEhDT3wVWVX1VNPRJRUhXNnwMyOpTHwWSDmHLqjzjEn7r5QtxLOmdC3VkE10sdzDFHKxqqbScDJ60RkSM8CQvHThivY4+Wn7ssF2NR2JVAwe3r+I5KA524eE0rYo9fv1By+lad9VHEn4Z7DAb1rFUCTYrm4Fh+RCWHVTRM4sEREn2Lb5Sf4eeMVvAoOh7VlGnxftxC+qZ6fF1wfgeduHhNKnOeBoWotPlmeITA0Qj0m1Tn71S6I5iVy8/xDZAIY6JnAgSUi+hivgsIwYtNVbL38RN2Xini/f1aClfE+Ac/dPCaUNG/ehWPp8ftYdOye6mwS+bOlw3d13NCsRG5YMm2cyGgY6JnAgSUiSqq9Xn4YtuGKStmUCykpfd6vthtsrCx4MD8Bz908JvRxgkIj8PeJ+5h3+C5eawM+x3ToX8cNTYsz4CMyBgZ6JnBgiYgSfW4JCcfYLV5Ye+6hui9z8GQunszJo0/HczePCX0aSeP8+/h9zD/y/wGfnKdkhE/m8HGEj8hwGOiZwIElIkqMo7eeY8jaS3j8JgRp0gBfV8uPgfUKqcWOST947uYxIf0ICAn/X8B3T6V3Crfs6dG/rhsaF83FKp1EBsBAzwQOLBHRh1Kixu+4jn9O+qj7LlntMaVdCZRzzcIDp2c8d/OYkJ4/UyHhWHLsPhYcuYu3IRHRVToH1i+E+oVzII30WhGR0ds0rqNHRGRgp++9xKA1l+DzMljd/7KSC35s5AF7G56Sicj0ZbCzVmmbXSq7YvGxe6pS502/AHyz7BxKOmfCkIbuqFwgm7F3kyjV4zp6ScBeYSL6FCHhkZiy6yYWHrsHjQbIndEOk9qWQFU3XhAlJ567eUwoeUka57zDd7Do6H28C49Uj1Vzy4YhDTxQzCkjDz+RHnFEj4jIxFz0fY0fVl/EnWdB6v5nZZ3wc9PCqmecSNy4cQM+Pj4oUaIEcuTI8cGD4u3tjQcPHsDV1RVubm48iGQ0GdNaY3ADDzXCN3P/bbXw+pFbz3Hk1lE0LpYTP9R3RwHH9PwPERkYa3YTESWjsIgoNYrX5q/jKshzdLDFwi5l1Ugeg7yUyd/fHxMnTkTNmjWRNWtWWFpaqq+1atXCpEmT1M+T+nryWtWqVcO0adNQvXp1zJw5M97tT5w4gbJly6JZs2bq91WsWBF169ZV8zWIjCm7gx3GtiiK/T/UROtSeVSBqe1XnqL+tMMYuvYyHr9+x38QkQExdTMJmP5DREnh9fgtflhzCdefvFX3m5fIjTHNiyBzOhseyBR47pbnjxkzBrNmzULx4sVVQFaoUCH1mvI7ZITt0KFDuHr1Kvr06YNRo0Z98PdpNBpUrlwZ1tbW2L59O9KnT4+IiAhs2bIFrVq1ivM5sl2uXLlQqlQpdf/ly5coV64c6tevj7/++itRfwvbMzKEG0/fYsoub+y97qfuy5qgX1Z0Qe9aBZGF50Gij8LUTSIiI4qIjMKcQ3fwx75bCI/UILO9NX5pWQxNiufi/yUFk1G2wMBAXLlyRQV48bl58yZ+//13/Pnnnxg+fHiCr7l3716cPHkS58+fV0GesLKyijfIE40bN45xP0uWLGjQoAHOnj2b5L+JKDl55MyABV3K4tyDV5i08wZO3XuJBUfvYdVZX/StVVClenIpGSITGdGbMGFCorb78ccfYY7YA0pEH3LbPwA/rL6ESw/fp9FJqfFfWxVTKZuUss/dkZGRKk1Tn9tLILhw4UI8evQIp06dQlhYGIoWLYps2RJfoCcqKgolS5ZUI3x///13nNuEhoaqm+4xcXZ25nJBZDByuXn41nNM3HEDXv/LcsiTKa2q0NmseG6uwUdk7HX0ZF0U6TlMmzZtgts9fPgQ5oiBHhHFJzJKo8qMT9p1U83Lc7CzUmmardQ8Fa4pldrO3fK75Hd+yNdff63SPSWwk+bYwsICFy5cwPjx49G/f/9E/S4JFv/44w+cO3cO7u7ucW4zevRolXYa135yXVgypKgoDdZfeKTmLj99G6IeK+GUET819kSF/Fn5zyDSY5uWpGIsMgcgPDwcjRo1wtq1a1VAF9eNiCg1uf88CO3nncAv266rIK96IUfsHlAdrUs7MchLRaSoytSpU1GkSBFVVCUxbGxscOvWLXTr1k0VWTl27BjmzZuHgQMHwsvL64PPlwBPfqe0yfEFeWLYsGHqokB78/X1TdLfRqQvFhZp0LaMEw4MqolB9QshnY2lyoD4fN5JfL30LO4+C+TBJtKTJAV6p0+fxtGjR9WIXpMmTVRjJvMQnj17pq/9ISJKUT3TS47dQ8M/DuPM/VfqguW3VsXw91flkCtjwpkPZB50C6c4OTlh/vz5aNq0KTp27Jio5xcoUEB97dChQ/Rjn3/+uRrd+9CcO5kzOHToUKxbtw4NGzZMcFtbW1vV86t7IzKmtDaW6FvbDQcH10KnCnlhaZEGe7z8VIXOUZuu4kXg/6caE5GBlleQSmMzZszA48eP8fPPP2Pbtm0qz79t27YfuQtERCmP78tgdFxwEqO3eCEkPAqVC2TFzu+ro2OFvBzFM9M17v755x88ffo0uuCKBFnS/nXu3BnXr1/HgAED1Hay9EJCxVpiF1aR1F4Z1dO6c+eOCvTy5Mmj7oeEhGDjxo2q3dWSyp+DBg1SI3nS8UqUUsn8ZZnHvLN/NdTxyI6IKA3+PvEANScfxNxDd1SWBBF9HKuPfJ7qHWzXrp2qEia5ohs2bPio15HnygR0qWRWuHDh/6SeSCqLNKi6MmfOjBYtWvynV/XIkSPw8/NDsWLF1GhjbInZhogoIXIBvvyUD37bfh3BYZFIa22Jnxp7oFMFFxYTMFMXL15Ubc4333yjAjPJapG2qWrVqqpImbSFsp7dx/Dw8EDfvn3VawwePFgFfZIpU7t2bbUun3j+/LkaMVyzZo3qVF25ciX69euHHj16qHZNgkAh+yXVN4lSIrccDljYtRyO336OX7dfx7XHbzF+xw38e8YXI5p6orZHDmPvIlHqCPRkraBFixap6l729vb46quvPirQk/V+pHGUAE/KSe/fv18tALt06VJ1X8jv2Llzp1pMVkvSY3QDPVlDqF69euqrVCuTie0y32H69OlJ2oaIKCEPXwXjx3VXcPT2c3W/fL4smNy2OFyypuOBM2P79u1TgdhPP/2EFy9eYM6cOaqdkpE8fZB5dpUqVcKOHTtU2ycjg9KuSmEWbQAnbZ52hE86Rps3b67mBC5ZsiT6daSgCwM9SukqF8yGLX2rYt35h5i48ybuPQ9CtyVnUdPdESOaFkYBx/fLkBDRhyWp6ubixYtVgCeVvaR3sXv37qrH8WMrym3duhV16tSJruIpKS+enp4qaGzZsqV67Ntvv1W9mZKeEh/Z5vDhw2oOoYwwygihttHUNnqJ2eZDWHWTKHWS0+SqM76q2EpgaATsrC0wtKEHulRy5SheCvCp5+5r166pImQS7Ek7kjt3brVouYzGSTsoAZ/Ml9NWt0wJ2J5RShAQEo6Z+29j0bF7ak1Sa8s0+KpKPvSrXRAOdtbG3j0i81tewcXFBe3bt0emTJn0vo5eQECAWr5h2bJl6ndoAzRJ3ezVq5f6o0qXLg1HR8fo58juSyqnzBeU+QpaEsTJHAkZEUzMNonBhpEodc7FG7b+/0fxyrhkxpR2JZAvG0fxUgp9nLulovTly5dRuXJl1f7JFABpO6QD9O7du8iRI4fKSJE57ElZa89Y2J5RSiKVOKWjbf8Nf3U/W3pbtf5e29JO7GyjVOdtcgV6rq6uidru/v37iX1JtUjsnj171E7LvIO8efOqCe/W1tbRgd7mzZtRsWJFta30rEopaZkrIXx8fFTwKb2r0uOquzbR+fPn1ehjYraJCxeYJUrdFTWXn3qACTtuICgsErZWFhhU3x3dquZT1eEo5UjuoOb48eMq22X16tVq/rpU3fzuu+/UAuamioEepUQHbvhj3FYv3H0eFL3+3qjmRVA6b2Zj7xqRSZ6/kzRHLykBXGLJnLmDBw+q9Ex5fUnl1M5LEF988YXqIZW1hrTz+vr06YMKFSqgZMmS6o8UsUcYZWRQ+7PEbBMXWbA2rgVmicj818Ubuu4yTt17qe6Xd82CiW2LcxSP4iSjfHKTuXZSMEWCPumgNOVAjyglquWRHVUKZsOS4/cwY99ttf5e69nH0b6cs0qnz5zu/bUiEX3k8gr6JtUvZTK5zNeTipjSUMpisVpVqlSJDvKEpHBKGqYUaBHa+X1BQe97d3TTQLU/S8w2ceECs0SpS2SUBguO3FXr4kmQZ29jiTHNi+DfnhUZ5BGiohIu854uXTp07dpVzeOT9uND2xNR0tlYWaBn9QLYP6iGWnhdSGXO2lMPYtUZH5WNQUQmEujpKliwoJqDJ2WrEyKVPqXymZBUT0nzjD3aKPe1C9EmZpu4cIFZotTjtn8g2s05ruaBaNfF2/V9dXSpzIIr9J5UiR44cKCar5cQmS4wZMiQj15ygYg+LLuDnZovvfbbSvDI6YBXweEYuu4K2s45Dq/Hb3kIiZIa6OXMmTNRt8SQtX+ePHnyn5xTqbwp8+mE9IbKvDxdUi3T19dXzdkTMtonyyasWrUqehuZJC9LNcg8icRuQ0SpU0RkFP46eAeNZxzBeZ/XSG9rhd9aFcPyHhXgnMXe2LtHJkTmdb979051EEqbMnbsWKxYsUJlpMjXUaNGqaWApNNS5nj37NnT2LtMZPbKumbBln5V8XMTT6SzsVTn8aZ/HsHYLV6qaidRapakYiy//PJLjPsjRozAuHHj/rOdVLf8EGkEZfROlmeQdfRev36tqm1KZU9Je5H1gMLDw1GiRAnVcMri5tJLKusX1a9fXwVt2rl8V69eVSmeskyCBIBSBU1SaCQVVFvUJTHbfAgnrxOZl5tPAzB47SVcfvh+rm6NQo4Y37oYcmeKP6WbUh59n7ulLZo/f76aQiAFwiT4k2kAskZrw4YNVUDo7OwMU8b2jMzRkzfv8MvW69h25f1AQnYHW7X2XtPiuT56KTCiVFN18z9PTpNGLV3wsUJCQlQv6IULF1TQJRPX27RpE71YeuxtZG5etWrVVE9qbJKGKRPgZaRO5v316NEDdnZ2Sd4mIWwYicxD+P9G8f7cf0utzZTBzkpdDMh8D14MmJ/kPndLx6Wk+qckbM/InB3yfoZRm67i/otgdb+aWzaVqcEsDTIHKSbQS2nYMBKlfFcfvcHgtZdx/cn7ORx1PXPg11ZFkSND4jt9KGXhuZvHhFKfkPBIzD10F7MO3kZYRBTSWlvih/qF0LWyK6wsTapEBVGytWl8pxNRqhAaEYkpu26ixaxjKsjLbG+NP9qXxPwvyzDIIyIyM3bWluhf1w07+1dDhXxZ8C48UhXbajX7OK49jn9pLSJzwkCPiMzeuQcv0WTGUcw8cFstodC4WE7sHlADLUrmYaomEZEZy++YHiu/rogJrYvBwc4KVx69QfOZxzBhxw016kdkzpK0YPro0aM/+jEiIkMLDI3ApJ03sOzkA0iWebb0NhjboigaF8vFfwYRUSphYZEG7cvnRW2P7Bi95Rq2X3mKOYfuYOfVJ2ruXuWC2Yy9i0TJIklz9FxdXRO1Xez16swF53kQpRz7b/hh+IarePImRN3/rKwTfmrsiUz2NsbeNTKDc7d2LT0np/cLNqc0bM8oNdvj5YcRG6/i6dv/bx+GNy6MjPaJq8JOlFLO30ka0TPXAI6IzMfzwFCM2eKFLZceq/t5s9irJROqsMeW9GjBggXqa+3atXH69GkEBASozlBZXiFXLo4YE5myeoVzoGL+LJi08yb+OfUAq88+VJU6pa2o7ZHD2LtHZJwRPe1aQakVe0CJTJecytaff4Rx27zwOjgcFmmAr6vlx/d1CyGtjaWxd4/M7NwtUxQmT56M4OBg5MiRAzlz5sTjx48RFBSECRMmoF+/fjBlbM+I3jt7/yWGrLuMu8+C1P02pZ0wsllhZEzL0T1KZVU3M2XKhBo1amDMmDFqUfOwsLBP3Vciok/m+zIYXy46jR/WXFJBXuFcGbCpT1UMa+zJII+S1ebNm/H06VNcvHhRrdH6999/Y+jQobh8+TKPPFEKUNY1C7Z/Vw1fV8sHWVN93fmHqD/tEA7c8Df2rhF9siQFerNmzVLzEebNm6cCPlnAvH79+hg/fjxOnTqFiIiIT98jIqJEkgqaC47cRf1ph3Hk1nPYWllgaEMPbOpbBcWcMvI4UrLq3LkzmjVrFmNt2bZt26JTp07Ys2cPjz5RClqKYXiTwlj7bSXkz5YOfm9D8dWSMxi05hLevAs39u4RGSbQ69GjB5YvX45Hjx7hxo0bmDp1qgr2/vjjD1SsWBFZsmRB06ZNP35viIgSSdbCaz37mFoXSdZHkvkWO7+vjl41C8Cai+FSMrO3t4+3czM8PBwWFly9iCilKeOSBdv7V0OPqu9H99aee4gG0w7jwE2O7lEqmKMXH5mXMHv2bMyYMUNNSNfDS5okzmkgMj5Z9+jP/bcw99BdRERp1LpIwxt74vNyzlwTjwx27j548CAaNGiAhQsXomPHjiqwk8Bv2bJl6NWrF86dO4ciRYqY7H+E7RlRws7cf4nBay7h/otgdb9DeWf83KQw0tkmqY4hUcqpuqnl7++vGrkDBw6o2507d1CqVCl88803KqWTiCg5nLr7AsPWX8Hd5+8nzTcskhNjWxRB9gx2POBkUDVr1kTv3r3RtWtXfPvtt3B0dFRz9CwtLTF9+nSTDvKI6MPKuWbBjv7VMXnXTSw6dg8rT/vixJ0X+P3zkiidNzMPIZnfiF7fvn1VgHfr1i2UKVNGBXVyq1KlChwcHGDu2ANKZKTPXkg4Juy4gRWnfNT97A62KsBrWJRl7Mk4I3pat2/fxsmTJ1WQ5+zsrALA7Nmzm/y/he0ZUeIdv/1czdd7/CYElhZp0KdWQfSrXZDTBMjkz99JCvRkonnevHkxaNAgNG7cGAUKFEBqwoaRyLDk9LTtyhO1Lt6zgNDo9JkfG3my9DUlGs/dPCZEn0qKsozcdBWbLr5fo7WEU0ZM+7wk8jum58El81he4ciRI6ogy4YNG1C0aFHVe/nFF1+oOQqSvklEpM8lE7otOYO+Ky6oIE8qoa38uiLGty7OII+IiAxK1tX7o30pzOhQChnsrHDp4Rs0nnEE/5x8YLa1KSgVF2MJDQ3FiRMn1Bw9SeeU1BVJV5G0FZmMbo7YK0yU/CIio9R8iGl7bqlqmjaWFqqSptykBDZRUvHczWNCpE9P3rzDD6sv4fidF+p+bY/smNS2OLKlt+WBppSbuhmXkJAQFeRt374dc+bMYdVNIvpoF31fq2IrsnSCqJAvC35tVQwFszM1hj4eAz0eEyJ9i4rSYPHx+5i48wbCIqLg6GCL6Z+XRJWC2XiwKeVW3QwLC1OLo2srbsqonozuubq6qoVia9Wq9Sn7TkSpUEBIOKbsuomlKgUGyGRvjZ8ae6JdGScumUBERCbHwiINulfNhyoFs6Lfigu45R+IzgtPoXfNAvi+biEWaiGTkKRAr27dujh+/DjevXsHJycnlaYp6+fVrl1bBXpEREkhCQW7rj3FqM3X4Pf2fbGV1qXyYHgTT2RlCgyZOFkYfdeuXXjw4IH6XlfFihXVjYjMm0fODNjctyrGbr2mlmCYdeCOWoZB5vI5ZbY39u5RKpekQE/WCZL1gWTUzs3NLfn2iojM3qPX7zBq01Xsve6v7rtmtccvLYuhqhvTXsj0BQYGokKFCrh79y5cXFxgZRWzObWxsWGgR5RKpLWxVIXCJG1z2LorOO/zGo3/OIKJbYqjUTEuA0QpJNBbuXJl8u0JEaWaYitLjt/H73u8ERwWCWvLNPi2RgG1LhGLrVBKsWbNGlhbW+PJkyfIlCmTsXeHiExA0+K5UcIpE/qtvKDmnPdafh4dK+TFyKaF2b6RUSRpeYXYPZaynh4RUWJdefgGLWcfwy/brqsgr6xLZmz/rhp+qO/ORpBSlNevX6N+/foM8ogoBucs9ljzbSVVKVqsOOWDFjOP4bZ/AI8UmXagFxkZGeP+1KlT9b0/RGSGAkMjMHaLF1rMOoqrj96qNYgmtC6G1d9UglsOB2PvHlGSlS5dGufPn9fbkVu7dq2aB1+oUCF06tQJvr6+CW4vKaNDhw5FgQIF0K5dO73tBxF9OmtLCwxt6IFl3curJRdu+gWg+cxj2HLp/WLrRIaS5KqbRERJsft/xVaevAlR91uUzI2fmxRWpaiJUqo8efLA398fX3zxBVq0aIH06WMuAVKwYEF1S4xJkyZh3Lhxag68FDm7fPkyRo0ahUWLFsW5/cuXL9VoYvfu3VGiRAk8e/ZML38TEelXNTdH7OhfDd+tvIATd1+olM5zD16pqtI2VkkaayH6KElaRy9NmjSqSl58980d12IiSrzHr99hzJZr2HXNT913zpJWFVupUciRh5FS/Ll77Nix6hafkSNHqtuH+Pj4qFG5uXPnolu3btGPR0VFwcIi7gtBbbsrbXCPHj1w+/ZtHDx4MEn7z/aMyLBz02Ve+uyDd9T9ks6ZMLtTaeTOlJb/BjKtdfRGjx6d4P34HiOi1CE8MgqLj93D9L231Dw8K4s0+Lp6fnxX201VJiMyB4kN5D5k/fr1sLS0RMeOHWM8Hl+Qpw3wiCjlsLK0wJCGHijjkhkDVl1UhVqazDiCP9qXQnV2flIySlKgJyWklyxZEu99LQZ6RKnT2fsvMXzDVTUfQZRzzYxxLYuqdYaI6L+8vb3h7u6O1atXq9TNsLAwlCtXTrWj0sbqS2hoqLrp9ggTkWHV8cyBbd9VQ6/l59R89S6LT6N/HTfVESoLsBMZNdC7f/8+koOkqMgtdlXP2EJCQmBnZ2eQbYgo8V4GhWH89utYc+6hup/Z3hrDGnuibWknNl5k9iIiItS6erqkjUlMOyMLrd+8eRPLli3D/Pnz1Uje8OHDUaNGDTVXT1+ppuPHj8eYMWP08lpE9GlVOdd+Wxljtnhh5Wkflf0i6+798XlJZE5nw0NLemXUmaDSiLVu3RpZs2ZFunTpULhwYfz777//2U4mpcs6RTLZXRZq37lzZ7JtQ0SJFxWlwb+nfVB76sHoIK99OWfs/6EmPivrzCCPzNqOHTtUMZS0adMic+bMMW4TJkxI1Gtkz55djbRJ4ZUyZcqgVKlSKlPmwYMHOHDggN72ddiwYWo+h/b2oaqeRJR8ZM3Y8a2LYWq7ErCztsBh72doPusorj/hSDuZUaAnC7D37NkTjx8/RlBQEHr37q3mKZw9ezZ6mz///FOls2zduhXBwcH46quv0LJlSzX5XN/bEFHiSYPUds5x/Lj+Cl4Hh8MjpwPW9aqECW2Ks1eSzJ5kuLRv3x5du3ZFly5d8PXXX2PTpk1o0qSJKq4iRVISo2LFiuqrbtVO+V7m4b17905v+2tra6tGB3VvRGRcbco4YUPvKqpYme/Ld2g9+zi2X3nCfwuZR6AnqSQNGzZUvaGStimBnkxKl5E+LQnOpMGsWrUqbGxs8NNPPyFnzpyYM2eO3rchosStiffLVi80/fOoSjdJZ2OJn5t4Ymu/qijjkoWHkFKFPXv2oHHjxhgwYACcnJxUe9K8eXNs3rwZ2bJlw8WLFxP1OtIGytp5klYpKaCyXq3Mz5NATNI3xdOnT9Xv2L59ezL/VURkaJ65MmBzn6qo5pYN78Ij0Xv5eUzedQORUamnqj2Z8Tp62rkNMjF83rx5qoGUhk88f/5cLQpbrVq1GM+pXr06Tp06pddtiChhUtJ9x9WnauHzp2/fr4nXuFhOjGhaGLkyskQ0pS6SiSJTAIQEZffu3VPfyxw7aWuuXr2Kpk2bfvB1rK2tVaaJjAzK68hInowISsCYK1eu6Hby0aNHKhtFq1KlSir98tWrV+rnEgiKhw/fp1ATUcohc/MWdy2HSbtuYt7hu5h14A68Hr/F9PalkDGttbF3j1JLoLdhwwbUq1fvPwvDfopDhw6hTZs2CAgIUI3c8uXLkTt3bvUzWYxWSPAXe06DNkDT1zZxYZUyovcevAjCyE3XcMj7/cLMebPYY2yLIqjpnp2HiFJtx4d2CQQPDw/VUSmBmGSlHD16VC1mnlgSMB47dkzNnZPAz97ePsbPJeCToE7ms+u2xxLgEZH5LMEgC6kXyZ0BQ9ZexoGbz9Bq1jHM+7IMCmZ3MPbuUWoI9KQSWIcOHVQ6ifRUyi1fvnyftAN16tTB69evVUlpqTgm8+YkJUabsiKkIqcuadxiryOkr210sUoZpXahEZGYe0h6F28jNCIKNpYW+LZmAfSuWUBNJidKrXQ7Dhs0aKAKfUn6pkxDkE7Ltm3bJvk1ZQHcuEjwqB2x05LfRUTmp0XJPCjgmB7fLDuHu8+D0HLWcfzRvqRamoEoWefoeXl5qZvMS5C0EunFLFKkCIYOHYojR46ouQUfS+bN9enTB6VLl1ZlpoV2ZM/Pzy/GtjJCp/2ZvraJC6uUUWp29NZzNJx+BL/v8VZBXpWCWbHz+2oYWK8QgzxK9fr27atu2kDs4MGDWLFiBebOnYtLly6pwI+I6GMUzZMRm/tWQcX8WdS8+B5Lz2LBkbsqk4AoWYux5M+fH/3791ejbjL3bezYsSpgateunUqF7NSpk6qmKfMGPoakcErQJ6ShLFq0KPbt2xdjVG7//v2qqIo+t4kLq5RRauT/NgT9Vl5A54WncO95EBwdbDGjQyn8070C8jvqL22byJzImnmS5SJtYXwjc0REiZU1vS2Wda+ADuXzQuK7X7Zdx08briA8MmZ2GlGyFWNxcHBQ8+vkJr0Mp0+fVpPKJ02ahC+//FItBBsfWU5B0jRlNFDWz5P0zZkzZ6rlDv7+++/o7aQ6pkxSl8ntMvl88uTJau5cr1699L4NUWomFb6WnbiPqbu9ERAaAYs0wJeVXDGwfiFksONkcCJtVou0WUK+j49so92OiOhjWFta4LdWRVEwe3r8uk0WWPfFgxfBmN2pNDLZc3F1MmDVTZnrVqFCBXUbN26cqhCWEFkgXRYwl6DwwoUL6r4sFHvy5En1VUvmBMpaQhMnTlSpl8WKFVMjcdpqZPrchii1OvfgFUZuuoprj98v1lrCORN+bVlUpY8Q0XsyZUEWQv/xxx/V/YQWRZdtGOgRkT6ur7tXzYd82ezRb8UFHL/zAq1mH8fCLmWZZUMflEbDhN9EkyUgJCVHKqNxsVkyB88DQzFxxw2sOfe+JHsGOysMbuiBjuXzwlKG9IjMAM/dPCZE5uDG07fovuQsHr1+p5Zd+KtzaVQuELOiPJm/t0mIR4y6YDoRGTdNs/aUg9FB3mdlnXBgUE18UdGFQR7RR5C182RRc5maQESkbx45M2BjnyoolTcT3rwLx5cLT2P1WV8eaIoXAz2iVJim2XzmUYzYdA1vQyLUmj3relXGpLYl1ORvIvowqTJdq1YtVWFTSIBXokQJtGjRAtWrV+cad0SULKRA2sqvK6J5idyIiNKoNff+2HuLFTkp+QO9p0+fYtq0afp8SSLSkxeBoRiy9hLa/HVczcWTNM1xLYpgc9+qKOOSmceZKAkksMucObMK7sT06dPVnD2pHC0zIrZt28bjSUTJQtaxlbX1ZE1bMW2vN35cx4qclAzFWCRFZePGjWrtu71796p16QYMGPCpL0tEekzTXHHqASbvuqlG8ES7Mk4Y2sgD2TiCR/RRrl+/jkKFCqnvw8LCcOzYMSxfvlwts1CvXj14e3vzyBJRshZpGdLQA7kzpVXF1Fad9cXTtyGqImc6W73VWqTUOKInKSu7d+9WSyjkyJED3bt3V2vVSQ/m/fv39b+XRPRRzvu8QotZ/5+mWTjX+zTNye1KMMgj+gTS9p09e1Z9L8sKFSxYEI6Ojur+48ePWdGZiAyic0UXzPuiLOysLXDI+xk+n3cC/gEhPPqU9KqbMhdBRu5WrFiBJ0+ewN3dHf369UPHjh1VCou5Y+U2SklpmhN33sDqs+8LrThINc0G7uhUgYVWKPVJjnO3vJanp6daGkgCu6lTp+Lbb79VqZuyRNCJEyeiAz9TxPaMyLxc9H2N7kvO4EVQGJwyp8WSr8qr9ffI/CRL1c0RI0ZEN14y2Vx+gYzeXb58GS9evNDHfhORPqppnnyAWlMORgd5kqYp1TRl8XMumUCkH9IGyhqww4cPx6ZNm1SQJ6RdlLnqphzkEZH5KemcCet7V4ZrVns8fPVOzcc/9+ClsXeLUsqIXpYsWfDPP/+gcePG6n5gYCAWL16MP//8E3fu3EGbNm0wdOhQlClTBuaKPaBk6mmakqd/9dH7Rc8lTXNcyyIo45LF2LtGlCrO3bK8go+PD2rUqKFG+kwZ2zMi883o6bH0LC74vFbpnHM6l0FN9+zG3i0y9RG9mjVrRgd5In369Cpt8+bNm6oYi4zqlS1bVk1CJyLDntSHrr2M1rOPqyBP0jTHNJdqmlUY5BElEy6vQESmSJZJWtGjImq6OyIkPAo9/j6LzZceG3u3yEgSHeitX78+3qo/zZo1w759+1QaZ968efW5f0T0gTTN2lMPqWpbom0ZJ+z/oSa6VHaFlSWXySRKLlxegYhMVVobS8z/sixalHy/1l7/fy+o6wVKffRaf7VYsWJYuHChPl+SiOJwwecVRuikaXpKmmaLIijryjRNIkPg8gpEZMqsLS0w7bOSyJjWGktPPMCIjVfxKigM/WoXVIM0lDpwoQ2iFOR5YCgm77wZPYInaZqD6ks1zbwcwSMy8PIKssxQfMsrSMcnEZExWVikUVM5MtnbYMa+W/h9jzdeBYdhRJPC6mdk/hjoEaUAEZFRKu1CTtIB/1v0vE1pJ/zYyAOODrbG3j2iVKdly5YYNmwY3NzcopdXELK8glSn/v333429i0REavRuYL1CyGxvjTFbvLD42H28eReOiW2Kq1E/Mm8M9IhM3PE7zzFmsxdu+gVEV9McyzRNIpNYXmHHjh1wcnJC3bp11eNcXoGITNFXVfIhk701Bq25jPXnHyEwJAJ/diwFWytLY+8amcqC6akdy1GTIT16/Q6/bbuObVeeqPvqBF3fHR3K5+V6eERJwHM3jwkRvbfvuh96LT+PsIgo1HJ3xF+dy8DOmsGeubZpHNEjMjEh4ZGYf/guZh28rUojSxp9pwou71Mv0tkYe/eICFBVpuUWn+LFi6sbEZEpqeOZAwu7lMXXS8/iwM1navkFqdAplTrJ/Fh9Ss6vdjBQ93si+jjyGdp73R/jtnrB52Wweqyca2aMbl4ERXJn5GElMiFSiGXKlCkxHgsMDERQUJBaLH306NEM9IjIJFVzc8SSr8qj25IzOHr7ObosPo1FXcshvS3Hf8zNR6dupsZAj+k/lFzuPAvE2C1eOOT9TN3PkcEWPzX2RPMSuVkGmSgFnbt37tyJH374ASdPnoSDgwNMFdszIjr34CW6LjqDgNAIlM6bCUu6lUcGO2seGBOXlPM3y+0QGVFgaATGb7+OhtMPqyDP2jINvq1RQC163qJkHgZ5RClMw4YNUbFiRbWgOhGRKSvjkgXLv66g1to77/ManRecwuvgMGPvFukRAz0iI5AR8A0XHqL2lIOYe/guwiM1alL07gE11JIJ6Zg+QZRi2dvbw9f3/VqXRESmrLhTJqz4ugKypLPB5Ydv0GH+KbwIDDX2bpGeMBmXyMCuPnqD0Zuv4eyDV+q+S1Z7jGxaWE2QJqKUQdbOk5uuiIgIXLx4EYsXL8aWLVuMtm9EREkhdQD+7VkRHeefwvUnb9FpwSks71EBWdNznd6UjoEekYG8CgrDlN03seK0D2RKa1prS/StXRDdq+ZjaWOiFGbevHkYM2bMfx7Pli0bfv75Z9SqVcso+0VE9DEK5XDAqm8qosO8k7jxNIDBnplgMZYk4OR1+hiRURqsOPUAU3Z74827cPVYsxK58VNjD+TKmJYHlSgFnrtDQkLUTZe1tbWquJkSsD0joviKw0mw5x8QCo+cDljarTyyZ7DjwTIhXEePyEScvvcSozZfU6kQQk6aslxCxfxZjb1rRPQJ7Ozs1I2IyJwUcEyPlT0rov3/RvZazDqm1tkrmofLPKWq1M0qVarE+T0RAU/fhOC37dex+dL7OTwZ7KzwQ313dKqQF1aWrIFEZE5kbp6sofcpgaCMDsrSDD4+PihXrhwqVar0wefIfMDDhw+rUcSmTZsiRw7O8yUi/QR7a76phG5/n8HdZ0FoN+cEpn1eEg2L5uThTWE++orz6NGjcX5PlJqFRkRi9sHbqD31oAry0qQBOpTPi4ODa6FLZVcGeURmZMeOHShRogTSpk2LzJkzx7hNmDAh0a/j5eUFT09PjBs3Dvfu3cOIESMwZMiQBJ/z22+/oWrVqjh37hxWrVqFQoUKqbX7iIj0wTVbOmzoXQXV3LLhXXgkvv3nHGYduJ0q1s02Jx89Ry814pwGio98jPbf8Me4rV64/yJYPSaLj45pXhTFnJjuQGRu5+779++rIG/06NG4du0aLCws1KiaFGm5ceMGDh48CCcnpw++Tnh4OAoXLozSpUvj33//jV47UwK4MmXKxPkcb29v9RwJ8Nq0aaMe69ixI65evYrLly8nav/ZnhFRYkRERqlrm79PPFD3W5bMjQltirOInBGlmDl6soMLFizA8ePHYWVlpXone/bsCVvb/y/n+vvvv2Pz5s0xnpcvXz5VvlrXqVOnMHv2bPj5+aFYsWKqN9TR0THJ2xAl1W3/AIzdeh2HvZ+p+9nS22JYIw+0KpUHFhbvL9qIyLzs2bMHjRs3xoABA1SwFxUVhebNm6tgr3LlyiqtMjGBnizDcPv2bezatSs6yBPxBXli/fr1atSwVatW0Y9J2ymVPm/evAl3d3c9/IVERFCZSGNaFEXB7OkxeosXNl58DJ+XwZj7RVk4OnD5BVNntMlCkZGRqjf06dOn6NSpE5o1a4aZM2eiUaNG6me6PZcyWiINqfbWu3fvGK8lqaPVqlVTQdvXX3+tekJl3mBQUFCStiFKijfB4Riz5RoaTD+igjwbSwt8W6MADgyqgTZlnBjkEZkxWUPPzc1NfS89qq9evV8XU0b2pK2R0bXEOHHiBPLmzasCt0WLFmHOnDmqfUrI9evXUbBgQfW7tLTBnfwsLqGhoaoXWPdGRJRYX1Ryxd9flVc1B877vEbLWcfg9ZjnEVNntBE9S0tLXLp0SQ09ahUpUkSlr5w5cwYVK1aMflyCs5o1a8b7WsOHD0eLFi0wZcoUdb9BgwbIlSsX5s+fj++//z7R2xAldrmEf8/4YOpub7wMClOP1SucA8Mbe6qcdiIyf9IBqQ20PDw8VMpmcHCwatukY7F79+6Jeh0JEOW1ZBRQ2j15zcGDB6NLly6q8zMuUvhFt+0UmTJliv5ZXMaPHx/nun9ERIlV1S0bNvSpgh5/n8W950FoO+c4/mhfSl0DUSoZ0UvKlL/4GippLHVJ76akyHTo0EGlXkqFMy3ZVhpVSZnRSp8+PerWrYvdu3cnehuixDhx5wWazDiC4RuuqiDPLXt6LOteXpUeZpBHlHrIwuhy03YcSvuVM2dO1YH45MkTtG3bNlGvIxUzfX191TQFmZKwcOFCNV1h1qxZOH36dLzPiT0iJ1MhtD+Ly7Bhw9Q22pv8TiKij6nIuaF3ZVQpmBXBYZHouews5hy6wyItqWFEb9++fWre24fSTuIzadIkZM+eHRUqVIh+TMpTt27dGjVq1MCjR49UJbM1a9ao3yU9nw8fPlRzI/LkyRPjteT+gQMH1PeJ2Sa+VBe5aTHVJfXyfRmM8TuuY/uVp+q+pC4MrFcInSq6wJrLJRClOn379o3+XkbxpPjK3r178e7dO9SvX/8/HZnx0aZcShunJamfMl9P0jDLly//n+dIhU3ppJSOVe28Ppnnp/1ZXGTuu+78dyKij5XJ3gZLviqP0ZuvYfkpH0zYcQO3/ALxW+uisLWy5IFNySN6q1evVikl7du3x4YNG9Rjd+7cUXPrZITMxcXlo3Zk7ty5qjDL33//HaNHUkpIT506VY3G9erVSzVusm7Q2rVr1c/Dwt6nzkl5a1329vbRP0vMNvGlukhjrb05Ozt/1N9GKVdwWAR+330TdX8/pII8qa3SueL75RK6VsnHII+IojslpRBLu3btEh3kCWnbbGxsVLEwLZm+IEGcNggMCAhQnZxSaEW0bNkS/v7+at09LRkNlCBPpkAQESU36eT+pWVRjGleRF0brTv/EJ3mn8LzwP8fIKEUNqInqSTSiylFVISMtE2ePBm//vqrKvUsk8p159YllgR3/fr1wz///IOGDRv+JxjTJQ2fq6urqmj22WefqQns4sWLFzG2k/vanyVmm/hSXQYOHBhjRI/BXuogF1myDt747Tfw9G2IeqxS/qwY2awwPHPppzw7EaXcQizW1tbRVZulcrTctEqVKoU6deok6rWkMufEiRPVMgldu3ZVI3RLlixRRcO07amkWkp7JAVYpA0sWrSomscn0xnkObI/Ur1z+/btyfQXExH9l5yvZI3gfNnSoc+K8zj74BVazDyGhV3LwiMnr5VSXKAn8+Nk1E07yVwKmUhJZ2lwpKHSLQ2dWMuWLVOvsXTpUnz++ecf3F4qcr58+VL1nmrTLyXd8/z586o3VbdHtFKlSoneJi5MdUmdrjx8g9FbruHcg/dV9Jwyp8XPTTzRoEjOj3qPE5F5kXZERtC0gZ5kmsjUA23HpIODg0qllJTOxJCCYJKuKUssyFJDGzduVPe1pKrn0KFDVdEXLWlzJZNGMly0waIsPUREZGjVCzmqxdW7/30GD14Eo83s45jRoRTqeLJIi9FpkiBt2rSaoKCg6PuBgYFSeUXz+vVrzcf4559/NDY2NpqVK1fG+fOwsDDN9OnTNeHh4ep+ZGSkZtiwYRpLS0vNlStXorcbMmSIxtnZWfP06VN1f/PmzWq/jh8/nqRtPuTNmzfqOfKVzI/f23eawWsualx/3KpxGbpV4/HzDs3M/bc078IijL1rRPQJ9HnuPnnypKZy5coxHhs1apS6aVWoUEGzb98+jSlje0ZE+vYyMFTz+dzj6hpKrqXmHbqjiYqK4oE24vk7SSN6MslcN5VSO5cuKfMRtCQVReb6yXNl3SC5ackIYZMmTVRvqBRSyZ07t5r7J8VYJF1m3bp1KnVFS9bW064rJD2at27dUhXMdEfrErMNpU6hEZFYcuw+/tx/G4Gh7yu6ymLnQxt6IGfG9yPHRERC1sf70Dy4cuXK4cqVK6hduzYPGhGlGpnT2WBptwoYtfkqVp72xa/br+OWfwB+aVkMNlZGW7o7VUty1U0JmD70WFzbxCYBo1Qoi4t2ArpU1ZQ5gLL2jwRpMp9OAr7Y6TBSZEXKUd+9exd+fn7q+VmyZEnyNpT65uHtu+6PX7Z54f6L90t6lHDKiJHNiqCMS/xzN4ko9ZL2I3bnZu/evWPcl9TNoKAgA+8ZEZHxSUD3W6tiKJjdAb9u88Lqsw/VNdaczmWQJZ2NsXcv1Ukjw3qJ3ViKoCTG/fv3YY6kGIs08DIaKXMmKOW67R+AsVuv47D3M3Xf0cFWjeC1LpUHFlI+iojMhj7P3TI3fevWrdi0aVO828h883r16qFHjx4wVWzPiCi5Hbjpj34rLqhsKecsabGoSzm45XDggTfg+TtJgV5qx4Yx5XsTHI7p+7yx9MQDREZpYGNpgW5V86Fv7YJIb6vXZSWJyAzP3d7e3ihevDguXLgAT0/P//z83r17amqBVIZ2c3ODqWJ7RkSG4O0XoIq0+L58BwdbK8zoWAq13LPz4Bvo/M2EWUoVJKhbfuoBak09iMXH7qv79QrnwO4B1fFjIw8GeUSUKLJWnSwtJOvGLly4UE0HCAkJUV+lKnWVKlXUUgmmHOQRERlKoRwO2NSnKsq7ZkFAaAS6LzmDhUfvqekzlPw4hEFm7+TdFxizxQvXn7xV992yp1fr4VVze18anYgoqembss5d7NRMWX6lY8eOMYqLERGldjI3758eFfDzxitqzt64rV5qCs2Y5kVZpCWZMXUzCZjqkrI8eBGkFjzfee2pup/BzgoD6xVCp4ousLbkYDZRapFc526p3nz06FG1tqsU95K176Syc0rA9oyIDE1G8WQ0T6pxyoBexfxZ8FenMqpaJyXP+ZsjemR2AkLCMfPAbSw+eh9hkVGQ2iodK+TFwHrurPhERHoj6ZlM0SQiShzJeuhRLT/yZUuH71ZewMm7L9Fy9jEs7FIOBbOn52FMBhzWILMh8+5WnvZBrSkHMffQXRXkVXPLhh39q6s1XFjWl4iIiMi46njmwPreVeCUOS0evAhGq9nHoqugk34x0COzcPz2czSZcQTD1l/B88Aw5HdMh0Vdy2Jpt/Jwz8lSvkRERESmQq7NNvapgrIumREQEoGui09jyTEWadE3pm5SinbveRB+234de7z81P2Maa3xfV03dOY8PCIiIiKTlS29LZZ/XQE/rb+KdecfYvQWL9zyD8To5kVYS0FPGOhRivTmXTj+3HcLf5+4j/BIDSwt0uCLii7oX8eNk3qJiIiIUgBbK0tMaVcchXKkx4SdN7D8lI/qxJ/dqTQy2bNIy6dioEcpSkRkFFae8cW0Pd54GRSmHqvl7ojhTTxRMDtTNImIiIhSWpGWb2oUQH7H9Oj/7wUcv/MCrWYfx4IuZVHAkUVaPgXn6FGKIRN1G884ghEbr6ogTyo0LfmqHBZ/VZ5BHhEREVEKVq9wDqzrVRl5MqVVo3qtZh3D0VvPjb1bKRoDPTJ5d54FotuSM/hy0Wl4+wUik701xrYogp39q6Gme3Zj7x4RERER6YFnrgyqSEvpvJnwNiQCXRafxrIT93lsPxJTN8lkvQ4Owx/7bmHZiQeIiNLAyiINulR2xXe13ZDR3trYu0dEREREeuboYIsVX1dUldQ3XHiEEZuuqSItI5sWhpUlx6iSgoEemZzwyCisOOWDaXu98To4XD1W1zM7fmrsqfK3iYiIiMh82Vlb4vfPSqhpOpN33cTSEw9UOufMjqVVhXVKHAZ6ZFIO3PTHL1u9cOdZkLrvnsMBPzf1RDU3R2PvGhEREREZsEhLn1oFVUGWAasu4sit52px9YVdyiFftnT8PyQCAz0yCbf8AvDLtus45P1M3c+SzgY/1C+Ez8s6c5ieiIiIKJVqWDQnnDJXwtdLz+LusyC0nHUMf3UujcoFshl710weE13JqF4FhWHUpqto+McRFeRZW6ZBz+r5cWBQTXSq4MIgj4iIiCiVK5onIzb1rYKSzpnUWspfLjyN5aceGHu3TB5H9MgowiKisOzkA/yx11tVVRL1C+dQ8/BcORxPRERERDqyO9jh354VMWTtZWy+9BjDN1zFbf9ADG/syYGBeDDQI4PSaDTYf8Mfv267jrvPg6JL6Y5o6skheCIiIiJKsEjLH+1LolCO9Jiy2xuLj91XdR1mdiyFDHYs0hIbAz0ymBtP36oATybTimzpbTCovjvalXWGpUUa/ieIiIiI6INFWvrWdntfpGX1RRz2fobWs49jYZeycMnKIi26GOhRsvMPCMG0Pd5YdcYXURrAxtIC3armQ59aBeDA3hciIiIiSqJGxXLBOYs9evx9VqVwtph1DHM6l0HF/Fl5LP+HxVgo2YSER2LWgduoNfkgVp5+H+Q1LpYTewfWwI+NPBjkEREREdEnF2kp4ZRRrb3cecEprDrjwyP6PxzRI72LitJg06VHmLzzJh6/CVGPlXDOhBFNPFHWNQuPOBERERHpRY4Mdlj1TSUMWnMJWy8/wdB1V3DLLxDDGnum+qlBDPRIr07fe4lftnnh8sM36n6eTGkxpKE7mhXPDQvOwyMiIiKiZCjS8meHUiiYPT2m772FBUfv4c6zQMzoUCpVZ5Ax0CO9ePAiCBN23MCOq0/V/fS2VuhdqwC6VcmnPnxERERERMlZpOX7uoVUsPfD6ks4cPMZ2vwlRVrKqbl8qREDPfokb4LD8ef+W/j7xH2ER2ogg3bty+fFgLqF4Ohgy6NLRERERAbTtHhuOGe2x9dLz8Lb7/+LtJTPl/qmDxk90Lt16xZOnjwJKysrVKxYEfny5fvPNu/evcPOnTvh5+eHYsWKoUqVKsm2DSVOeGQU/pEFz/fdUpNfRY1CjhjexBOFcjjwMBIRJXJt0Tdv3qe660qXLh2srT+cbhQaGgobGxvVk01ERIiuDbG5b1X0WHoGVx+9RacFJ/Fbq2JqSa/UxMKYjVurVq3QrFkz7NmzB+vWrUPhwoUxceLEGNs9ffoUJUuWxMiRI3Hs2DG0aNECXbt2TZZtKHH/t93XnqLBtMMYs8VLBXmyaOXf3cqrG4M8IqLEk47HzJkzI2/evHB1dY2+7dixI8HnzZ8/X3WMZsyYUd1++OEHREZG8tATEf1Pzox2WPNNZVXxXbLOBq+9jPHbryNSysCnElbGDBi6dOmiAi5tT+S///6Ljh07ok2bNihYsKB67Mcff0TatGnVqJ+dnR0uX76MUqVKqSBRnqvPbShhVx+9UYVWTt59Gb3g+cB67visrBOsLLlSBxHRxzp+/DiKFi2aqG2lY7RXr15Ys2YNWrZsiXv37qlOU1tbW/z222/8JxAR/U9aG0vM7FAa0x29MWP/bcw9fFcVaZnevpSqJ2HujHZ1bmFhoRoo3XST2rVrqwDQ29tb3Y+KilINmoy8SXAmihcvrlIuV69erddtKH5P34SoSa3NZh5VQZ6tlYVa7Pzg4FroWCEvgzwiok8kbZ+kYSaGtGe1atVSHZXShubPnx8DBw7ErFmzEv0aRESphYVFGgys744/2peEjZUF9l73R9u/juPhq2CYO5Mahtm4caOaqycplsLHxweBgYHw8PCIsZ3c9/Ly0us2cZEG8+3btzFuqUlQaAR+3+ONmlMOYN35h9BogJYlc2P/oJoY3MAjVfSEEBEZQrly5eDg4KBSOCdPnpxgGqalpeV/Ajpte3Xt2jUD7C0RUcrTomQerOpZURULvPE0AC1nHcO5B++z1MyVyQR6V65cwaBBgzB06FDkzp1bPRYQEKC+ZsqUKca2Mp9B+zN9bROX8ePHR89/kJuzc+qYwCm5y6vP+KLWlIOYse8WQsKjUM41Mzb1qaKGumVtPCIi+nQStMnccV9fXwQHB+PPP//E2LFjE0zB7NSpE44ePYoZM2bg0aNHOHjwIKZOnRo95y8uqb3jkohIlMr7/nq2cK4MeB4Yhg7zTmH9+YcwVyYR6EmqZv369dG6dWuMGzcu+nF7+/drXsQOxqSB0v5MX9vEZdiwYaoamvYmDbG5O3b7OZr+eRRD1l2Gf0Ao8maxx1+dSmP1N5VUBSMiItIfR0dHjBkzRn2VjBaZMz5gwAAV8MWnYcOGatrBqlWrULZsWdVB+ssvv6ifyWvEJbV2XBIRxZY7U1qs7VUJDYrkQFhkFAauvoSJO28gygyLtFiYQpAncw3q1auHRYsWxZizJyksMrn8zp07MZ4j993c3PS6TVzkORkyZIhxM1e3/QPRfckZdFpwCtefvEUGOyv83MQTewZWR6NiuVi6m4jIQGRawbNnzxAUFBTvNm3btlUVpJ88eYJTp06p5RiEtpBZbKmx45KIKD72Nlb4q1MZVXNC/HXwDr7955yatmROjBro3b59WwV5derUwZIlS1SBFl2yhlDjxo2xYsUKVVBFO99O0lSkkIs+t0mtXgaFYeSmq2gw/TD23fCHlUUadK3sikODa6FHtfywtbI09i4SEaUqZ8+eRdasWaMzTqRQy+vXrxEe/n7N0rgsW7YMpUuXjnMt2tTWcUlElNgiLYMbeGDa5yVUkZbdXn5oO+cEHr1+ZzYHMI1GWhAjkMXL3d3d1bwBSTvRDfJkdK9IkSLRC6pXrlxZNWAVKlRQwZqsMbRr1y41t0Gf23yIpHpKyov0hqb0RjI0IhJ/H7+PP/ffRkDI+96LeoVzYFgjD+R3TG/s3SMi0htTPndLSqW0f02aNFHFWDZt2qTmq//6668YPHiw2ubhw4cq1VKWU5CRvBcvXuC7777DkCFD1NzzuXPn4o8//sD+/ftV+5bSjwkRkaGde/AK3yw7q+btZUtvi3lflkHpvJlN8h+RlPO30QI9SUkZPnx4nD9r3749KlasGH1fJpcvX75cfS1WrJj6eex5CPraxtwbRvl3b7/yFBN2Xofvy/c9FkVyZ8DwJp6oXCCbsXePiEjvTPncLRWhpZDKhg0bVAAn0wn69Omj1pPVevz4MQoXLoylS5eiefPm6rG1a9diwoQJ6mdSsXP06NFqbVhzOCZERMbw8FUwevx9VlXklBG+yW2Lq0qdpiZFBHopUUpvGKWE7K/bruO8z2t1P0cGWzVk3bpUHjV8TURkjlL6uTs58JgQEf2XzNHr/+9F7L3+voJx31oFMbBeIZO6Tk7K+ZsLoaUC958HqWpCO64+VffTWlvimxr50bN6fjUZlYiIiIgotUtna4V5X5TBpF03MefQHcw8cFsVLPz98xIp8po55e0xJdqroDDM2H8L/5x8gPBIDaQz4rOyzqpnInsGOx5JIiIiIiIdMnr3YyMPFMyeHj+tv4Kd157Cd04wFnQpi1wZU9Za0gz0zFBI+PtCK9ILoS20UtPdEcMaecI9p4Oxd4+IiIiIyKS1LeME16z2+GbZOVx7/BbNZx7D/C/LomQKWlfa6Ovokf7IQo+bLj5CnamHMH7HDRXkeebKgH+6V8CSr8ozyCMiIiIiSqSyrlmwsU8VuOdwwLOAUHw+9wQ2X3qMlIIjembixJ0X+G37dVx59Ebdz5nBDoMauKNVqTywNKEJpEREREREKYVzFnus610Z/VdeUGtOf7fygpq3930dN5Mq0hIXBnop3G3/AEzYcQN7r/ur++ltrdCrZgF0q5IPaW242DkRERER0aeQ6+t5X5ZVxQ3nHb6LGftu4Y5/IKa0K2HS19sM9FIoGT6evtcb/57xRWSURo3adSyfF/3ruqmFHomIiIiISD/kWvunxp4o6JgewzdewbYrT+DzMljN28uZ0TSLHDLQS2HehUVi4dG7+OvgHQSFRarH6hXOgaEN31cHIiIiIiKi5PFZOWe4ZLXHt/+cU1OmWsw6qoK94k6mV6SFxVhSCBm1W3PWF7WmHMSU3d4qyCvhlBGrelZUby4GeUREREREya9C/qzY1Kcq3LKnh9/bUHw29wS2XX5icoeeI3opwJFbz/Drtuu48TRA3c+TKS2GNHRHs+K5TX4SKBERERGRucmb1R7re1dGv5UXcPDmM/RZcR53nhVCv9oFkSaNaVyfM9AzYTeevsVv22/gsPczdT+DnRX61i6ILyu5ws7adCd+EhERERGZOwc7ayzsUk5Vvl949B5+3+ONW/6BmNy2uElcqzPQM0F+b0MwdfdNrD33EFEawNoyDb6o6Kp6CDKnszH27hEREREREd4XaRnRtLBK4/x541VsufQYPi+C1NSq7BmMW6SFgZ4JCQyNwLxDdzD/yD28C39faKVJsVwqTdMlazpj7x4REREREcWhffm86nq91/JzuPRQirQcU8Fe0TwZYSwsxmICIiKjsOKUD2pOPogZ+2+rIK+MS2as61UZszqVZpBHRERERGTiKhXIio29q6CAYzo8eROCdnNOYOdV4xVpYaBnRBqNBvtv+KHhH0fw04YreB4YCtes9virU2ms/baSCvaIiIiIiChlcM2WDut7V0H1Qo5q8Obbf85j5v5b6rrf0Ji6aSRXH71RlTRP3H2h7me2t8Z3ddzQqYILbKwYfxMRERERpUQZ01pjUZey+GXbdSw5fl8tjXbbPxAT2hi2SAsDPQN79Podpuy6iQ0XHqn7EtR9VcUVvWsWVG8KIiIiIiJK2awsLTC6eRG11vWozdew8eJjPHgZjLlflEF2B8MUaWGgZyBRURpM2nUTi47dQ1hElHqsZcncGNTAHU6Z7Q21G0REREREZCCdK7ogfzYp0nIeF3xeo+XMY1jQpRwK586Q7L+bOYIGIguby5CtBHkV82fB5r5VML19KQZ5RERERERmrHLBbNjYp4oK+B6/CVFTuAyBI3oG9FNjD7Qv54w6ntmRJk0aQ/5qIiIiIiIyknzZ0mFD7yrYcfUJPivnbJDfyUDPgPI7plc3IiIiIiJKXTLaW6v19gyFqZtERERERERmhoEeERERERGRmWGgR0REREREZGYY6BEREREREZkZBnpERERERERmhoEeERERERGRmeHyCkmg0WjU17dv3ybX/4OIiPRMe87WnsOJ7RkRUWpo0xjoJUFAQID66uxsmEUOiYhIv+fwjBkz8pCyPSMiShVtWhoNuzgTLSoqCo8fP4aDgwPSpEnzURG4BIm+vr7IkCEDUhruP48/3zv87KbEc480c9Ig5s6dGxYWnLGgj/ZMH/8XY0vJ+5+S911w/3n8U+v7560e9j0pbRpH9JJADqaTkxM+lfxjU9obUxf3n8ef752UKTV/djmSlzzt2af+X0xBSt7/lLzvgvvP459a3z8ZPnHfE9umsWuTiIiIiIjIzDDQIyIiIiIiMjMM9AzI1tYWo0aNUl9TIu4/jz/fO/zs8txDbBOMj+0xjz/fPynzetrWwLEAi7EQERERERGZGY7oERERERERmRkGekRERERERGaGgR4REREREZGZ4Tp6evb8+XO1CKKrqysyZ86c4LYhISE4e/bsfx4vWrQoMmXKBGPw9/fHo0ePkDdvXmTNmjVRz3nx4gXu3r2rFoDMmTMnjOnevXsIDAxEvnz5kD59+gS3vXPnDp48eRLjsXTp0qFUqVIwpocPH+L+/fvw8PBAtmzZPrj9jRs38O7dOxQpUgQ2NjYwtuvXr6v3RLly5eKdbCyLfR47duw/j7u5uSFHjhwwpDdv3uDKlSv/ebxMmTJImzbtBxc+9fb2Rvbs2dVnxhjkfPPgwYMYj1lZWaFixYp6fU5yCwsLg5eXl3rPJ3Z9N/kMv379Gp6enrC3t0/2fUxtIiIi1PtbPsfSpllaWia4vWwrbYguWSeqePHiMIbw8HDcvHlT7b+0CfIe/xA5N8n7UP52Oacm5jnJJSgoSB1TaYs/dH6Rv/XUqVP/eVw+G4lty5PLiRMn1P+gdOnSH9xWPs+3b99W1xL6WufxU/8HFy5cUO2StE/xkfOpnFd1yd8s7aChSXsm7ZouR0dHuLu7f/C58n6Tayh57xur0IlcG8jnUFf+/PnV4uD6fE5yk2vpZ8+eoXDhwom6NpP3mlzPZcmSRZ2v9EZDenH69GlNzZo1NdmyZdOULFlSkzZtWk2XLl00oaGh8T7n1q1b8q7UlC1bVlOlSpXo28mTJw3+X7lw4YKmRo0amty5c2tKlSql9v+zzz7TBAcHJ/i8kSNHamxtbTWFCxdWX7t3766JjIzUGNqmTZs0Hh4emkKFCql9sbe314wYMSLB53zzzTearFmzxjj2X3zxhcaYXr9+rSlQoIB6X6xcuTLBbX18fDQlSpRQf0O+fPk0jo6Omr1792qM6dKlS+rYy/7fu3cv3u3evXuntilWrFiM479lyxaNoe3Zs0fti+5+yO3BgwcJPm/WrFnqcyLvO/mbW7Ro8cHPS3IYN26cxsHBIca+N2zYUO/PSU5z587VZMqUSR1Ld3d3Tbt27TRBQUHxbv/y5Ut1vpK/wc3NTZMhQwbNv//+a9B9NmcRERHq3C7nFDmfOjs7a1xdXdVnJSGdOnXSZM+ePcb7qmfPnhpjGD16tNoXOUc6OTlp8uTJ88Hzy82bN9V7UJ4nf7M85/jx4xpDk/d3jx49NFmyZNGULl1afZXrCi8vr3if8+TJE3Uek/Zb9/gfOHBAY0x//PGHxsLCQn2uP2Ty5MkaOzs7jaenpzq3fv755wleQxlCx44d1f7L9VxChg4dqsmYMWOMY9+qVSuNMcjvlvev7r6MGjUqwefI+6d8+fLqPJw/f371ntu6davGGCwtLTVFihSJsf+rV6/W+3OSy6NHjzR16tRR7we5vpfrs+3btyf4nKVLl2rSp0+vrmHla926dTVv3rzRy/4w0NOT5cuXaw4ePBh9/86dO6qRTCjY0AZ6CV0QG8qGDRs0Z86ciRFESAAhF4Tx2bhxo8ba2lpz7Ngxdf/GjRvqjS0ndmNcKOpemO/bt08d24QuTCTQa9OmjcaUSHAtDUZiAj3pWJCbtiGU52XOnFnz6tUrjTHIhblcFA4ZMiTRgd6RI0c0xqYN9JJCPitp0qTRrF+/PrqRlIvJwYMHawxNPqMVKlRI9uckFwnQrKysYlxUyHF9/PhxvM/p3LmzpmjRotEN4Z9//qmxsbExiXOpOQgICNCMGTNGdTyJqKgozaBBg1RAndD5RQK9D10QGypQnThxoiYwMDB6/+W8JB0yISEh8T5PgqRmzZqp52vbCOn8lPOVIUlAJ+d/baep7HO9evXUxeuHAr0rV65oTIV0IEvA0bVr1w8GenL9JOfUXbt2qfvSnkvALe9DY1m4cKGmcuXKmqpVqyYq0JOLe1OQmMAutqZNm6o2QdtZKW2EBBx+fn4aQ5OgbceOHcn+nOQQFhamKV68uKZ+/frqPCpevHiR4PWcXDtLG7ho0aLojh7pwPz666/1sk+co6cnHTt2RI0aNWIMGTdo0ABHjx5NVLqhpAYEBATAWFq2bImyZctG35c0zAIFCqih5/gsWrQIderUQeXKldV9SQto166detzQevbsGSO1pVq1airlJqH916bPnj9/XqWARUVFwZjmzZsHHx8f/Pzzz4l6zxw8eBA//vhjdEqAfC8pFxs3boQx9O3bF7Vr10ajRo0S/Rz5/5w7dw6vXr2CsUmK1+XLl1Ua7IcsXrxYpba0atVK3Zc0ox49eqjHY6ePGIKkmV26dEn9DfJ9cj0nOYwYMQJffvklmjRpEv2YHNdcuXLFub28x1evXo3vv/9epQWKXr16qe//+ecfg+23OZO095EjRyJjxozqfpo0afDtt9+qVGX5jCREPj/ymZZzlLHOqZJiOmTIEJWKr93/mjVrIjg4WKUGxkXaYLkNHz48OkVVzsWS3r9z506D7r+kW7Zv3x4WFu8v0SSFrlKlSh9sz4S0IdKmxU7dMzT5nMrfMHv27ESl48t1Q4UKFVC/fn11X9pzOS8Y43pCSAqdvBfknPKhlGXd9HN5D926dQuRkZEwJvmsnjlzRk0F+RA/Pz9s27YNgwcPjp6u8MMPP6i2TM61xiCfO5naJNNAkvM5+rZmzRqVOivXc9rpQ5KKKZ+F+CxdulRdQ3z11Vfqvkz76tOnD5YvX47Q0NBP3icGeslEGjg52RYsWPCD23bu3FndJI9eApbEXGgmBzkxSWC6d+9eFTTICaJfv37xbi8nNJnHpKt8+fK4evWqmi9gaNKAy/5v374dHTp0QIkSJdCmTZsEn7Nr1y507dpVNaIuLi7qucYgc0LkglcalcTMCZFjL3SPv8zrlDkE2p8Z0r///qvmh0yaNCnJwaGc3OQkJ50EL1++hLFIgNq2bVt1kv3pp58SDNjie+/LHN3ENKz6JvsjnU3S8SLHctmyZcnyHH2TOS1yUdSsWTP1v5cAQeY0fOizIhdUusdfLsRk/o8x3vuphVw0SsAknZgJ2bBhA7p166bmJkn7t3//fhiLBJtHjhxR5ye5iP3uu+/iDTq07x3deWQyR0w6HIz1vpKg+tChQ5gzZw7mzp2LMWPGfPA5cuwlQJI5WV26dFEBlzHIhap0/DVt2jRR28d3TpW5b4buCJSL688//xwTJ05M0lyp48eP44svvkD16tWRJ08erF27FsYi75mvv/5adUjKtdDFixfj3VY6/KS90z3+EvDJc4313h80aBC6d++ujmPz5s3/M/dXX8/Rt3379qk5ydJRce3aNdVh8KHr4fje+9IxJXMmPxUDvWQyduxYVVBDekXiI72NmzdvVr108oaQi5z169cnakQnOUiAKQGefFj+/PNP1VgkNPlYLsxiT/KW+xIwSm+SocnIhOz/wIED1cVF7969EyzIIiOucuylMZWeIAkOJdiQ0T1DH3dtoyKjqImhDYikpyj28Td0sCTHSzoEVqxY8cHiJVrSUy2jX3IiluMvJ0M52cnIjKHJhZ9M5JaCQnJSld7733//HTNnzkzye1/7M0OSC2rZdzmHSJAp5w/pvDh58qRen5McHj9+HN04yoR1uTCRDhf5PMhoe1y0xzeu42/MjgJzJv8nOa9Kp0xCBTIkM+Tp06fqwlHOqY0bN1ajs8bo/BBbtmzB0KFD1b7LOadTp07xbivvHRkVtra2Npn31axZs9TI5LBhw9SFoHTKxEdG/WT0RY6/dLbKqIJ02iZ0DZJcpMPy9OnTmDp1aqKfY0rnVHm/SDE0uQZKLMkikqBUjr18XqRNlI60D42AJwcZfZdORwnuZF/kukI+m/EF/aZ2Tv3rr79Uh5+cR6Qwj1xjaEe79Pmc5CDHW67tJdPts88+Ux3IHxpESPb3vl4SQCmGv/76S80XkQIhSSV51TInwNju37+vyZs3r+b777+PdxuZtPvbb7/FeOyff/5R8wTevn2rMSaZgC7/g6QUaJB5GTLH8Pfff9cY0rBhw1TBAJmvJjft/EIpJnDx4sU4n7NkyRK1TeziHzLxt1u3bhpDqlWrlpqbo93/GTNmqH1bs2aNmquaWPPnz1d56saefC9kPobMzYiPzA/r3bv3f+aYyN+dUMEEQ5H5MAMHDkz253yqc+fORRek0p4zZG6OzG/++eef43yOFByS53h7e8d4vGXLlmpeBOnXs2fP1Ptd5gMntdiQzC2T8/C8efOM+m+ROXpyPk2XLp0qlBCX6dOnq32NrWDBggb/XMQ1/1kKe8gc6KQUO5PiJtKmGdLz58/V3C5pB7RtgrQPcj0h38v8o7hIsR+ZR6lL5u3KZ11qBhjKoUOH1FzOzZs3R++/FMJp1KiR+j48PDzR7zmZty1FjYxN5i7Lcdy9e3ecP1+7dq36ub+/f4zH5TMvdQOMTea3yf4lpTjJxzxHH2SOr/zeFStWxJi/KfOb43vvyxxQKfqjS6795HX0UQyKI3p6Nn/+fPTv31+lisjQ8ceMLkhPqLHni0kPhPRG7NixI8FtYs8ZkPuSQujg4ABjkvkYMvSd0P7HJulf0ouSmHkQ+iSjYDLyKKORcpMUTrFy5Uo1shrfsRex91V6kwxd5l+WFpDRa+3+S266kBHKTZs2Jem9L3PFjJFuEde+JPQ+iO+9L6ltMr/V1PdfX8/5VNr3sfR8a88Z8v6VXlBJuUvoOXEdf2MtcWGuZK5L3bp1VebA1q1bEz1irzvKJO2Bod9XscnnUjJVpHz54cOH431fSUqwjIRoSXaKzF8y9vtKlg6RVEhJW5Y5eEn5TMtcPUOmb8pIvKQKrlq1KrpNkPRTGW2R72X5naScU2WE1ZDLNsn+yxJL0n5p91+yHyTjSr6X91Bi33PSNhr7vS+06crx7Yupn1O1+6/NAEmu5+iDLEMjmQGSIab1zTffqCw3GW1Myntf6OX4f3KoSDFGJKRHcN26dXEeFekNlR4hbdUybUWw2L3SUiLW0OLbF91RjadPn6r91/YoShU2KRurrVAmZHspjW5Isj+xq6JJ5SPpQdTtiZUqp+fPn4/ubYvdOy0jBFK5afHixRpj0lakjF2lSfZd/gYh+y6l5adOnRpjiQ95nrYKqjFHU2NX3ZT/kbx35D0U3/utb9++qqSz7vvJEGLvi+xrmTJlNE2aNIl+TD6zsv/a94z0/svx132u9HxWqlRJY2ix9196ZaX3ULdiroySnThxIknPMRQZzfvhhx9iPFa7dm1N27Zto+9fvXpV3bTkvDNgwIDo+76+vqoE+qpVqwy01+ZPKsXJSEb16tXj/Lxqq8XJkipCRjpiV7TU9krL6L4hxbW/2n3RHdWQc6b2PCV/r7TfUmlRS7aV51y7dk1j7P2fM2eOap+01w+S+SDnJBlBi+85Up3WxcVFY2wyohG76qbst+y/NoPjl19+USP5uu+hxo0bq2qjxiZLucSuuinvG3n/aMU+/nJOkiUipk2bpjEkaaNij/pKhXR5H+tWVpfPrXx+tZ9dWRpMt8KpZKbIc7RVUA0lrvfxjz/+qEbjda/z5L2jHZ1P7HMMQUahJTNJtzrx4cOH1bHUtmGSvSL7r81ikQwtqWAv2RNasiyNLDOiDwz09EQuyqU0sAQW2uF+uUlqktb169fVP1tbAnb48OEqzU4uTiRN4Msvv1T/bGOsXSJraEmKgawzJCmnsoaPvFl11/6QQFb2X1syVsqfS/ljuSCT/ZdS1JLyYOjyznJik+BYTqhyUpLjKWWO5cR19+7d6O1kjT9tEC2Ni3yIJFDauXOnSi2S1JFy5colWH7bmIGe7Lv8DVqy73K8ZT03+ZulHG/z5s01xhZXoCfvGXlM3kNC9lk6BCTVV95j/fr1U+837c8NSUp/S4qyLDEiZf0lwJPUo7Nnz0ZvI59Z2X/5DGsbFjne8j6TRlTSb2X/9+/fb/D9l/fsr7/+qo6jrMUjaXaSbiYXrrop4bopXIl5jqFIqrIcb0kzk8+vnEPlWOqmrDRo0EDdYi/JMH78ePU/k2BR/iZDdxKYKzmnyvptso6cnB912zTdixFZ50y7TIcsxSDvI+kEkefIFAZ5frVq1RKd7qYv8vtlHSopVy7Lp8i+SOeABK267xHZP91OBlkOSaYkyHlIlkyS1Dtplw1NOlzkvCRtgHwm5LMqHTG6+yqBhG4QLdMoJLCT58g1hJRml8+IKXR+xBXoyX7L/svfISStTTpnJbiT6wk5D0jgrdtBZUqBnvwv5P2jJWvCTpgwQbUV0lksf6+02YaexiKdEnIulI4Bee9MmTJFLbvUoUOHGNvJ51Y+v7pLVMlayPL5lf+N7Lt0uBmaBD2yJq20S3Is5TjLdbHsly5572iD6MQ+xxBkEEGuC+Q9I+9j+TzK2niyfIWWvKdl/7Xvbbkelek7MlAi1yFjx45VnTpybaEPHy7vR4kiQ/sy+VIqD8pNd0hWSqRq0y+qVKmiqvqJcePGqfQGKYcv6RWFChVSxRESKoCSXNatW6eqNC1YsECljcq+SJqI7r5I+oTsv7bUsFQjk+INUmlx2rRpaohZqk4VLVrUoPsu6US7d+9WxTOkiqZMhK1Vq5Y6troTXOVvkdQcIUsSSAEISY2cPn26+p/IpHcpkR97Mr6hSdEAOc5SNU2XVIPT/X/IhHH5H0iasBR0kYnHAwYMgLFJSXbZfzs7u+jH5D0jj2lTcKRQjnw2pHiApEZJJT+ZvC8pM4YmqaZSwlsKCMj7o1ixYioFW7e8v7w/ZP/lMyzkPSYVXidMmIAZM2aoFB0pACQT8g1N3vPy3pfCDbJ/UmlPjq92X4V8NqWybFKeYyhSmU/2R8qwy1d5L0jFYvk/aMU+p0ixFkmPWbhwoSo4ISXZ5fOb2DLolDBpj+S8KmlI0k7pksqP2qIgUrBCuwSDfJWCA3JOlZR5OffKtlLkx9D/Fym0JSmjUvBJikTJeWfUqFGqGIvuvkh6v25VRdlfuS/toaSRyzlWKgMbmhRHkn2QCqaS8iifX6ngWK9evRhpsXJOypYtm7ovBVu0z5GUW2krJFVMihwZm7yPYlcVlP2W/Ze/Q3uOlesHSZmUNlnOv5JmK0suGJuci2Iv9yLvE3n/aMn5X9770h5IGroURJHiYtq/z1Dk/71kyRJVnESK+8l+SxsnFaV1SXqt7t8kFd/lfyLVlyXVV6buGKOQj7RFUjVTrptlGpMcZ0njj/0+kPeObJeU5xiCpOxKESi5JpY2Vq4VJO1a3g9a0nbJ/muXB5Lr0QMHDqj3vjxHUuXlHKr7ef+kfZJoTy+vRERERERERCaBxViIiIiIiIjMDAM9IiIiIiIiM8NAj4iIiIiIyMww0CMiIiIiIjIzDPSIiIiIiIjMDAM9IiIiIiIiM8NAj4iIiIiIyMww0CNKoX755RcMHz4cpsDb2xtly5ZVCy0n1dWrV9G0aVNERUUhOT1+/Fgtzh0UFJSsv4eIiJLG399ftSEPHjwwiUM3aNAgTJ48+aOe+91332Hjxo1IbmPHjsX8+fOT/fdQysZAjyge27ZtQ8WKFREaGhrj8UaNGqFly5YxHgsMDET58uWxa9cugx3P+/fv486dOzCFADM4OBjnzp1DeHh4kl+vf//+aNiwISwskvd0lDt3bmTPnh3jx49P1t9DRGSKWrRogdmzZ8d4bMOGDSrA2r59e4zHp02bhjZt2hhs38LCwlQb8u7dO4P9zoQCzNu3b39U0Hn48GF1TKVNS27t2rXD0KFD8fz582T/XZRyMdAjioe7uztOnTqFkydPxgiuDhw4gJ07d+Lp06fRjx89ehRnzpyBp6en2R9PfQaYp0+fVse4a9euMIRevXph5syZHNUjolTHwcEBa9asifHYpk2bVFCzZcuWGI+vWrUKGTNmhLnTd4A5YcIEdO/eHXZ2dkhucr1RokQJzJ07N9l/F6VcDPSI4lGwYEE4OzurwE5LvpdRPhm9O3jwYIzH8+fPj7x586r7X375peolLFeunOpF/euvv6JTEx8+fKh+JumOuuT1KlWqpEbHhKQY/vrrr6hTpw4aNGigRtJCQkI+OAopvbDVqlVDt27d4OXlFSOokt975coVfPXVV6hRo4YKfPz8/GK8hvwtss9169bFjz/+iNWrV6NJkybqZxIkyYXB7t271WvJTRpJLblg6NmzJ2rWrKl+v4+PT4L7u3jxYjVCmj59+ujHZFSwQoUKMV5XtG7dOjodRlJjJk2apBpVSfuUfV2+fLkaff3tt9/U72/evDn2798f4zWqV68OGxsbg6TVEBGZEkldP3HiRIx2RM73cj7VbecCAgLU+bdWrVrRHZna872cQ+Ucf+vWrejtR44cqVIdY+vYsSNmzZoVfV9eRx6rWrUqOnfuHKMTNS4vXrzATz/9pNoqaYP++OMPREZGRv+8R48eaoRy6tSp6udyW7lyZYzXkHZ02LBhqk1s3769artatWql2jEJ8rRtW9u2bdXf980330Q/V6PRqLZb2hJpgz+UJimdv9IJLCNtuubMmRPjdYVs17hx4+jpC/K7Dx06pNpNOcbyt8nrSbst+y2PDR48OPr6QEv2e8mSJQnuF6VyGiKK15dffqmpXr169P0vvvhCM2rUKM3PP/+s6dmzZ/Tj5cqV0/To0SP6vpeXl+bMmTOa06dPa1asWKEpUKCA5scff4z+ebFixTQjR46M8bvktZs0aaK+Dw0N1VSoUEHTtGlTzfbt2zW7du3S1K5dW920unfvrvn888+j78+aNUuTJ08ezYIFCzSHDh3SjB07VmNvb6/2RezZs0cjH/kiRYpo/v33X83evXs1VapU0VSrVi36Nc6dO6extrbWDBo0SLNv3z711dbWVr2uePjwoaZFixaa+vXrq79Pbm/fvtVcuHBBvXb+/Pk1S5cu1ezfv1/TsGFDTdGiRTWRkZHxHl8PDw/N5MmTYzx28eJF9Vr+/v7RjwUFBWksLS01x48fV/cbNGig9rNv376aAwcOaMaNG6eeU6pUKc3AgQPVY8OHD1f77uvrG+P1mzVrpunWrVu8+0REZI7u3r2rzpNyfhZ37txR58iXL19qbGxsNI8fP1aPb9u2TW0n53vx+vXr6PO9nFu/++47TcaMGTV+fn7q5+vWrVNtTUBAQPTvkteW15DniPXr12uyZs2qmTFjhmqfpk2bpkmfPr16PSHnadn++vXr6v6rV680bm5uql2Utmvz5s2a0qVLqzZZS9ov2f/vv/9evc4ff/yhsbCwUG2XVuvWrdXryO+Xm7u7u2o75s+fr4mKior+W9euXav29caNG+p50s7Ja0s7K683b948jZ2dnWbVqlXxHl9pVx0cHNTr6mrZsqWmT58+MR6T6wFpR8WJEyfUPhQqVEi9hrT30nZ6enqqr6tXr9bs2LFD/Tz260ibLc/18fFJwjuBUhMGekQJWLx4sWoAg4OD1X1nZ2fVoEjDI42HePPmjQpCJKCLz+7duzUZMmSIvj9x4kQV/OkGMtLorVy5Ut2XYE1+Hh4eHr2N/B5peLTBjm6gJw2sPF9+j67OnTtHBzXaQE8aFS1tAyONqmjbtq0KhHRJsKkN9GL/Xi1toLdly5box27duqUek6/xkb9H+zdrLVmyJMbv0+6nNOCBgYHRgV7VqlVjbCONYL169WI8ljt3bvU/1NWrVy9NjRo14t0nIiJz5eLiohkxYkR0O6M9F0rQtHz5cvW9dPDJ+TQhlStX1vz+++/q+5CQEE2mTJk0y5Yti/65dDRKUCUk8MmbN69m0aJF8QY7sQO90aNHq33Sdfv27RhBjfxc2gJdcr9///7q+6tXr6rtJRjSOnv2rHpMAr24fq+WBHplypSJ8VinTp3ULT6//fZb9N+sy9XVNfr36e7nkCFDYrTD0vmqJf8LeezYsWPRj82dO1f9/3RJsC3baQNmotisjD2iSGTKJHVF0jsk3cXFxUVN3JbUTUnDlLlqjx49wsWLF1U6iTbNRdy9exczZszAtWvX8Pr1a5X///btW5WKkjVrVpW+IukkMj9N0hQ3b96MNGnSqJRJbRrny5cvVYrL/zpk1OPy9caNGyrFU5ek2UhBGHnNESNGRD9H9s/V1TXGtpIiopUnTx71VdI3M2XKhPPnz6s0Hl2SOnrhwoVEHa/4XlvSYGOTYyjHVlIpdcnxLFWq1H8ek9dIly5d9GNlypSJsU2uXLlQunTp/zwWOzVV5k58KAWWiMgcSTulnXYgXyXNXUh6pNyXtkm+6rZn0pYsW7ZMpTtK9WJJr5c2Tm7C1tZWpRBK+rykZArd72U7SeOXAi8yn0zbPj179izeasuyDzIVQNpb7fbadlDaQJlWEbvN0bY72nO+tGfSrum2C9JuJHbuYVyvLa8ZH5k6ELs9k0rUcq0QV5vWpUuXGI/ptmlSPEzo7rs8Fld7JtimUXwY6BElQIK7fPnyqfkL8r00OtoTqzQC0hhJECSTonPmzKkelwCtcuXKqF+/PgYMGKACu3v37qFDhw7RE76dnJxUzr00hhLoyVeZg5Y2bdroeQUlS5ZU89Di2qfYtEsGyPYZMmSI8TPd4Eh96K3+/2MvwaXQNqASLNrb2yf4/IQk9NqxSZVNR0fH/1QMkwZQ5lPEfkwmncf3uxJ6LPbvl9+n/V8REaUmEsCtWLFCzfWSdk0Kh2gDvT59+qjARNo0mQ+mJZWKZa7d6NGjUahQIdUmDBkyJEYBEwnqpFNQOkN9fX3VHPROnTrFaJ9kvl3sTj9ra+s491OeI0FoXHP/3Nzc4j3nS7uTUHuWlDYtodeOS44cOeJsz+R1ihYtGv2YzL2TgO1j2rS42jPBNo3iw0CPKBET2LWBnrb3U9swyuPSKOr2fsronzSif//9d3SwE1dREmkEZZkCafxkWQbd8tbSkEnVM+kFtLS0/OD/SNvwyQhZ7F7IpJCCMjdv3ozxmPSexg7QEmrskkKK1UhDqOvSpUtqIrquPXv2RF+QfCr5f2kvQIiIUlt7Ju2EFPCQIEE6L0WVKlXUcgLS6SijbLptnSwXMHDgQHz99dfRj0lAJ+2FlnRcyojXv//+qzo2pbNTOkmFfJWARQKvxLZP0qZJdedPbc8koJLgVTuKJxk2uqNi2mV99NGmSXv25MkTdWxkKR8h7Ztk1ciop5YUhJFOXansrY/2TIqZ6QaSRLpYdZPoAySIk8pXe/fujdH4yfcSnMmJXBpPrSxZsqhAT1vxUnrvZGHT2KQylzRA0njKyJbua0igI42FrJGjrTImqRmygKuku8TVKMq6PdL7qbv2j1TxWrt2baL/x7LMgVwAaCuCylcJWHVJz6H02OqDVD+TIE5L9v3Vq1eqMqi28ZVqo5L6o4+lKyTt6Pr16/9ZB5GIKDWQbBIZVZPqxLoZKjLKJamD8niRIkWiAxVtmybTA7TBkFRflmkJuqRTU7JWJMVTOim1aZvaZR2kbZERQakwqRukSOXluMjooixZJBU1tWT6w88//5yktluCT5nOoFshVLdyp7S9Euzpo02TNEvpEJZATkuuDySw1Lbb0sbJcZA2OzGduB8i1yVSeTqu0UAiwUCPKBGNhcxJkKBM2/up7QGVk7c0froBoMyfkxLJ0mgWLlxY9drFnjsmpIdRSjtv3bpVNZC6C4ZLIyCPy5wISf308PBQAZb0wMY3v0DScSQYktQa+Z3yPAkwkxIgyaiZBIzSOyivIb20ko6j24jIaJgEXgUKFPjP8gpJJfNB5LjKIrPaRlFST+W+HANppOVvlosQ2TfZ9lMsXbpU/T1yPImIUmubJvO3ddstbZaKPK7b6ShkmR+ZpiDz4uQm8+x020ItCe7Onj2r5qJ/9tlnMX4mc9ZlOQFpMyTQlDRHWaYhvnOxjAjK6ODvv/+ObNmyqXZN2py4UjHjI/Pl5JwvgafM15abLG8kQay2TZPU0X79+qlliaSdjr0MQlJIGy6vtWjRoujHpE2TkT75O+V6QKZ0yN8mAa8EfJ9CUmflb5PfSRSfNFKRhYeHKGHS8ygNQuz0iMuXL6tAL3auvZBePBmV06atyIldttOdkyDbSE+iNGCZM2eO83dLGoxM8pbGUTfgkp5B6ZnUTZ/RpqbIa8qafrpBoayNJGmZuqkwEsBKqqT8XboLvEpjL6OS8tpjxoxRvYbHjx+P/rmk/sh+yWtKQCj7JT28Mq9Qu49yXCQIlAZOd5282ObNm6fW6pPfof1dMhIp+yoNs0ym107al4sDIWs4SeqL9E5ryfbSc6ydxC5k9E6OqwTJMudDgkcZhZX9JCJKjbTtjpzfZbROSzrVpHCIjErJSJcuOedLKqW0E9KmSWefjEjFnjMubaUEWDIqGBdJ35S2Q87tEsB9qC2SdkSKssiIoeyvbodoXOf8uNpF2XfJTpH2Ql5bOhOlI1WCLt1jIhkfEkhKmyZ/q7TV2rVxte2itCMSdMZHMm8koJMAU+bfS9snbY60/ZKtIm29tg2TNl2OobymtFUSaGr/vrjaa+nolP3SdhxLho+sRbhu3bp494eIgR4RRZMGUnojJXVUGlaZnye9vDI/Q9JIk4MEcHJxIPMRpVdVRvEkNUjfJO1HenOlESYiIvMnAZ0EWTISKe2bTG+QIEwC3aSMDiaFtDNCRjalU1E6KnWDWn2R9lk6MaUzlCg+TOolomjSuyijcLJMg/T0Su+upExK9dDkIj2Y2rLSkuYi6azJQXpxGeQREaUekqYpKarStkngJVkuMiUiuYI8oc002bdvn+q4TI4gT3AKAiUGR/SIKM70GunxlGph2iUfDEGCTEmvjL1EBBER0ceQ9E/ptJRUTN10/+QmFTgl3ZIBGRkTAz0iIiIiIiIzw6qbREREREREZoaBHhERERERkZlhoEdERERERGRmGOgRERERERGZGQZ6REREREREZoaBHhERERERkZlhoEdERERERGRmGOgRERERERGZGQZ6REREREREMC//B/I94s4giYX2AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy.io import fits\n", "\n", "with fits.open('../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits') as hdu:\n", " lsf = hdu[1].data\n", "wl_lsf, R_lsf = lsf['WAVELENGTH'], lsf['R']\n", "sigma_lsf = wl_lsf / (2.355 * R_lsf)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(9, 3))\n", "ax[0].plot(wl_lsf, R_lsf); ax[0].set_xlabel('Wavelength ($\\mu$m)'); ax[0].set_ylabel('R = λ / FWHM')\n", "ax[1].plot(wl_lsf, 1e4 * sigma_lsf); ax[1].set_xlabel('Wavelength ($\\mu$m)'); ax[1].set_ylabel(r'Gaussian σ (Å)')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "e84150d4", "metadata": {}, "source": [ "## The `OffsetSpectra` loader\n", "\n", "The simplest instrument-systematics loader combines several ASCII spectra and\n", "applies a per-spectrum offset, slope and error-scale factor.\n", "\n", "Each input spectrum automatically contributes three fittable parameters:\n", "`Offset_i`, `Slope_i` and `EScale_i`. This is the observation class selected\n", "by the `spectra_w_offsets` keyword in input files.\n" ] }, { "cell_type": "code", "execution_count": 181, "id": "036092d9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((1163,), (1163,))" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from taurex.data.spectrum import OffsetSpectra\n", "\n", "# Two WASP-39b NRS1/NRS2 spectra with per-spectrum systematics.\n", "obs_simple = OffsetSpectra(\n", " path_spectra=[\n", " '../tmp/spectra/wasp39b_NRS1_Carter2024.txt',\n", " '../tmp/spectra/wasp39b_NRS2_Carter2024.txt',\n", " ],\n", " offsets=[0.0, 0.0],\n", " slopes=[0.0, 0.0],\n", " error_scale=[1.0, 1.0],\n", " slope_type='linear',\n", ")\n", "\n", "# The systematics are folded into the exposed spectrum and error bars.\n", "obs_simple.spectrum.shape, obs_simple.errorBar.shape\n" ] }, { "cell_type": "code", "execution_count": 182, "id": "e680eec1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Offset_1',\n", " 'EScale_1',\n", " 'Slope_1',\n", " 'Offset_2',\n", " 'EScale_2',\n", " 'Slope_2',\n", " 'WLShift_1',\n", " 'WLShift_2']" ] }, "execution_count": 182, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fittable systematics are created automatically, one set per input spectrum.\n", "list(obs_simple.fittingParameters.keys())\n" ] }, { "cell_type": "markdown", "id": "d11b9169", "metadata": {}, "source": [ "## Response-function binning with `OffsetSpectraCont`\n", "\n", "When the instrument line-spread function is available (here, STScI FITS\n", "dispersion files), `OffsetSpectraCont` adds response-function binning on top of\n", "the offset/slope/error systematics. Its `create_binner()` returns a\n", "`FluxBinnerConv` that convolves each grid with the calibrated profile before\n", "binning. This is the observation class selected by the `spectra_instr`\n", "keyword.\n" ] }, { "cell_type": "code", "execution_count": 183, "id": "086d6d81-e31f-4c86-8405-b485113cda49", "metadata": {}, "outputs": [], "source": [ "from taurex.data.spectrum import OffsetSpectraCont\n", "obs = OffsetSpectraCont(path_spectra=['../tmp/spectra/wasp39b_NRS1_Carter2024.txt', \n", " '../tmp/spectra/wasp39b_NRS2_Carter2024.txt'],\n", " path_broadening = ['../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits', \n", " '../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits'],\n", " max_wlbroadening=0.003, wlres=15000,\n", " factor_cut=3, broadening_order=0,)" ] }, { "cell_type": "code", "execution_count": 184, "id": "5b8bd2bf-e121-4b30-baa8-3f84fef44a7f", "metadata": {}, "outputs": [], "source": [ "obs.broadening_coeffs[0][0] = 0\n", "inst_binner = obs.create_binner()\n", "out_bin = inst_binner.bindown(out[0], out[1])" ] }, { "cell_type": "code", "execution_count": 185, "id": "5f95a8f6-cc07-4fd1-acf3-fb11657ff7d1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([0.]), array([0.])]" ] }, "execution_count": 185, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obs.broadening_coeffs" ] }, { "cell_type": "code", "execution_count": 186, "id": "be3bd4da-4097-4a23-9080-a57d24cba2a2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:11: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "<>:11: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "/var/folders/4c/xrxpgpxj13s56gybbsqrpp4w0000gn/T/ipykernel_63297/348010052.py:11: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", " plt.xlabel('Wavelength ($\\mu$m)')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,3))\n", "plt.errorbar(obs._raw[0][:,0],obs._raw[0][:,1], yerr=obs._raw[0][:,2], fmt='.', label='NRS1')\n", "plt.errorbar(obs._raw[1][:,0],obs._raw[1][:,1], yerr=obs._raw[1][:,2], fmt='.', label='NSR2')\n", "plt.plot(10000/out[0], out[1])\n", "\n", "plt.plot(out_bin[0], out_bin[1])\n", "\n", "plt.xlim(2.5, 5.5)\n", "\n", "plt.legend()\n", "plt.xlabel('Wavelength ($\\mu$m)')\n", "plt.ylabel('Transit Depth')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6bab086f-831b-45c7-b948-e7415071dc12", "metadata": {}, "source": [ "## Per-spectrum LSF choices\n", "\n", "Spectra prepared in different ways can be combined. Here NRS1 uses its calibrated LSF and may depart from it (order 0 = a constant scaling of σ). NRS2 is treated as if its LSF were unknown, and fits ln R(λ) as a straight line (order 1)." ] }, { "cell_type": "code", "execution_count": 192, "id": "3e79475c-9015-48ca-9e3f-f080f25d1282", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WLShift_1 value= 0 default bounds=(-0.004059004, 0.004059004)\n", "WLShift_2 value= 0 default bounds=(-0.003984594, 0.003984594)\n", "Broadening_1_0 value= 0 default bounds=(-0.35, 0.35)\n", "Broadening_2_0 value= 7.901 default bounds=(np.float64(3.912023005428146), np.float64(11.512925464970229))\n", "Broadening_2_1 value= 0 default bounds=(-2.0, 2.0)\n" ] } ], "source": [ "obs = OffsetSpectraCont(\n", " path_spectra=['../tmp/spectra/wasp39b_NRS1_Carter2024.txt', '../tmp/spectra/wasp39b_NRS2_Carter2024.txt'],\n", " path_broadening=['../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits', 'function'],\n", " broadening_order=[0, 1],\n", " max_wlbroadening=0.01, wlres=15000, factor_cut=5,\n", ")\n", "\n", "obs['Broadening_2_0'] = np.log(2700.0)\n", "\n", "for name, p in obs.fittingParameters.items():\n", " if name.startswith(('Broadening', 'WLShift')):\n", " print(f'{name:16s} value={obs[name]: .4g} default bounds={p[6]}')" ] }, { "cell_type": "markdown", "id": "f6f4b07d", "metadata": {}, "source": [ "## Input-file workflow: `spectra_w_offsets` and `spectra_instr`\n", "\n", "The same loaders are reachable from a TauREx input file through the\n", "`observation` key. `spectra_w_offsets` selects `OffsetSpectra`; response\n", "functions are then attached through the `[Binning]` block so they can be\n", "shared with any instrument that consumes the binner. The legacy\n", "`spectra_instr` keyword selects `OffsetSpectraCont`, which wires the same\n", "broadening settings directly into the observation.\n" ] }, { "cell_type": "code", "execution_count": 193, "id": "1274f255", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "('OffsetSpectra', 'FluxBinnerConv')" ] }, "execution_count": 193, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pathlib import Path\n", "\n", "par_path = Path('../tmp/instruments_systematics.par')\n", "par_path.write_text(\"\"\"\n", "[Observation]\n", "observation = spectra_w_offsets\n", "path_spectra = ../tmp/spectra/wasp39b_NRS1_Carter2024.txt, ../tmp/spectra/wasp39b_NRS2_Carter2024.txt\n", "offsets = 0.0, 0.0\n", "slopes = 0.0, 0.0\n", "error_scale = 1.0, 1.0\n", "\n", "[Binning]\n", "bin_type = observed\n", "broadening_type = stsci_fits\n", "broadening_profiles = ../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits, ../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits\n", "wlshift = 0.0, 0.0\n", "\n", "[Fitting]\n", "Offset_1:fit = True\n", "Offset_2:fit = True\n", "EScale_1:fit = True\n", "EScale_2:fit = True\n", "\"\"\")\n", "\n", "from taurex.parameter import ParameterParser\n", "\n", "pp = ParameterParser()\n", "pp.read(str(par_path.resolve()))\n", "obs_par = pp.generate_observation()\n", "binner, wngrid = pp.generate_binning(observation=obs_par)\n", "\n", "obs_par.__class__.__name__, binner.__class__.__name__\n" ] }, { "cell_type": "code", "execution_count": 194, "id": "cab8438d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Offset_1',\n", " 'EScale_1',\n", " 'Slope_1',\n", " 'Offset_2',\n", " 'EScale_2',\n", " 'Slope_2',\n", " 'WLShift_1',\n", " 'WLShift_2']" ] }, "execution_count": 194, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# The observation exposes the systematics as fittable parameters, while the\n", "# binner carries the response-function and wavelength-shift configuration.\n", "list(obs_par.fittingParameters.keys())\n" ] }, { "cell_type": "markdown", "id": "764aa0f5-3ad2-497e-8d56-bb414b2a77e7", "metadata": {}, "source": [ "### Full-feature input file (`spectra_instr`)\n", "\n", "`spectra_instr` is the class that supports LSF fitting, per-spectrum LSF modes and fitted wavelength shifts. Every per-spectrum keyword takes one entry per file, in the same order as `path_spectra`." ] }, { "cell_type": "code", "execution_count": 38, "id": "8bc231e5-cf1a-49da-961f-f588e751c023", "metadata": {}, "outputs": [], "source": [ "# This ccan be done directly in notebook\n", "\n", "obs = OffsetSpectraCont(\n", " path_spectra=['../tmp/spectra/wasp39b_NRS1_Carter2024.txt', '../tmp/spectra/wasp39b_NRS2_Carter2024.txt'],\n", " path_broadening = ['../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits', '../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits'], \n", " wlres=15000,\n", " offsets = [0,0],\n", " slopes = [0,0],\n", " error_scale = None,\n", " slope_type = \"linear\",\n", " broadening_type = \"stsci_fits\",\n", " wlshift = [0.0, 0.0],\n", " max_wlbroadening=0.003,\n", " factor_cut = 5,\n", " broadening_order = [0,0],\n", " broadening_basis=\"chebyshev\",\n", " fwhm_to_sigma = 2.355,\n", " \n", ")" ] }, { "cell_type": "code", "execution_count": 196, "id": "6a9e06f9-36e2-4c18-96a9-c84de1543423", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "('OffsetSpectraCont',\n", " ['WLShift_1', 'WLShift_2', 'Broadening_1_0', 'Broadening_2_0'])" ] }, "execution_count": 196, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Or a similar one in parfile mode\n", "\n", "par_full = Path('../tmp/instruments_full.par')\n", "par_full.write_text('''\n", "[Observation]\n", "observation = spectra_instr\n", "path_spectra = ../tmp/spectra/wasp39b_NRS1_Carter2024.txt, ../tmp/spectra/wasp39b_NRS2_Carter2024.txt\n", "path_broadening = ../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits, '../tmp/InstrumentFiles/jwst_nirspec_g395h_disp.fits'\n", "broadening_order = 0, 0\n", "max_wlbroadening = 0.01\n", "\n", "[Fitting]\n", "Offset_2:fit = True\n", "Offset_2:bounds = -1e-3, 1e-3\n", "WLShift_2:fit = True\n", "Broadening_1_0:fit = True\n", "Broadening_2_0:fit = True\n", "Broadening_2_0:bounds = 6.5, 8.5\n", "Broadening_2_1:fit = True\n", "''')\n", "\n", "pp_full = ParameterParser()\n", "pp_full.read(str(par_full.resolve()))\n", "obs_full = pp_full.generate_observation()\n", "type(obs_full).__name__, [k for k in obs_full.fittingParameters if k.startswith(('Broadening', 'WLShift'))]" ] }, { "cell_type": "markdown", "id": "f3f6f131", "metadata": {}, "source": [ "## Retrieval with instrument systematics\n", "\n", "The systematics parameters can be fitted alongside the atmospheric\n", "parameters. The `Broadening_N_0` parameters correct the calibrated line-spread\n", "function, `Offset_N` absorbs baseline shifts, and `EScale_N` rescales the\n", "per-instrument error bars.\n" ] }, { "cell_type": "code", "execution_count": 39, "id": "4d51e0a5-36d5-450e-89b2-8fd1fd08936f", "metadata": {}, "outputs": [], "source": [ "from taurex.optimizer.nestle import NestleOptimizer\n", "\n", "opt = NestleOptimizer(num_live_points=50, tol=30.0)\n", "opt.set_model(tm)\n", "opt.set_observed(obs)\n", "\n", "opt.enable_fit('Offset_1')\n", "opt.set_boundary('Offset_1', [-1e-2, 1e-2])\n", "\n", "opt.enable_fit('EScale_1')\n", "opt.set_boundary('EScale_1', [0.8, 5])\n", "\n", "opt.enable_fit('EScale_2')\n", "opt.set_boundary('EScale_2', [0.8, 5])\n", "\n", "opt.enable_fit('Broadening_1_0')\n", "opt.set_boundary('Broadening_1_0', [-0.35, 0.35])\n", "\n", "opt.enable_fit('Broadening_2_0')\n", "opt.set_boundary('Broadening_2_0', [-0.35, 0.35])\n", "\n", "opt.enable_fit('WLShift_1')\n", "opt.set_boundary('WLShift_1', [-0.5, 0.5])\n", "\n", "opt.enable_fit('T')\n", "opt.set_boundary('T', [300, 3000])\n", "\n", "opt.enable_fit('H2O')\n", "opt.set_boundary('H2O', [1e-12, 0.1])\n", "\n", "opt.enable_fit('CO2')\n", "opt.set_boundary('CO2', [1e-12, 0.1])\n", "\n", "opt.enable_fit('planet_radius')\n", "opt.set_boundary('planet_radius', [0.5, 2])" ] }, { "cell_type": "code", "execution_count": 40, "id": "3e30e35c-6e0f-4330-b50b-6ca97c18510c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[Kit= 1140 logz=7311.9273642154niter: 1141\n", "ncall: 6857\n", "nsamples: 1191\n", "logz: 7338.058 +/- 0.727\n", "h: 26.418\n" ] } ], "source": [ "res = opt.fit()" ] }, { "cell_type": "code", "execution_count": 42, "id": "137f6006-03c6-4a4f-8e75-15003060d078", "metadata": {}, "outputs": [], "source": [ "for solution,optimized_map,optimized_value,values in opt.get_solution():\n", " opt.update_model(optimized_map)" ] }, { "cell_type": "code", "execution_count": 179, "id": "17c00d3a-882e-4201-94b6-5f4afdcfbee6", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:5: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "<>:5: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "/var/folders/4c/xrxpgpxj13s56gybbsqrpp4w0000gn/T/ipykernel_63297/103401483.py:5: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", " plt.xlabel('Wavelength ($\\mu$m)')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(obs.wavelengthGrid,obs.spectrum,obs.errorBar, fmt='.', label='Obs')\n", "plt.plot(obs.wavelengthGrid,inst_binner.bin_model(tm.model(obs.wavenumberGrid))[1],label='TM', zorder=10)\n", "plt.legend()\n", "plt.xlabel('Wavelength ($\\mu$m)')\n", "plt.ylabel('Transit Depth')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 180, "id": "cfde5100-f91a-419f-87c8-4ab4eaa4a2b7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(res['solution0']['fit_params']['WLShift_1']['trace'])\n", "plt.title('Convergence of WLShift parameter')\n", "plt.xlabel('sample')\n", "plt.ylabel('WLShift_1')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 205, "id": "5f59e12f-add9-4632-bd8b-06a1c16f6acb", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:16: SyntaxWarning: \"\\s\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\s\"? A raw string is also an option.\n", "<>:16: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "<>:16: SyntaxWarning: \"\\s\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\s\"? A raw string is also an option.\n", "<>:16: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", "/var/folders/4c/xrxpgpxj13s56gybbsqrpp4w0000gn/T/ipykernel_63297/206241550.py:16: SyntaxWarning: \"\\s\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\s\"? A raw string is also an option.\n", " ax[1].set_ylabel('Residual ($\\sigma$)'); ax[1].set_xlabel('Wavelength ($\\mu$m)')\n", "/var/folders/4c/xrxpgpxj13s56gybbsqrpp4w0000gn/T/ipykernel_63297/206241550.py:16: SyntaxWarning: \"\\m\" is an invalid escape sequence. Such sequences will not work in the future. Did you mean \"\\\\m\"? A raw string is also an option.\n", " ax[1].set_ylabel('Residual ($\\sigma$)'); ax[1].set_xlabel('Wavelength ($\\mu$m)')\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Offset_1 -1.6992387977442236e-05\n", "EScale_1 1.120949778487453\n", "EScale_2 0.9704244488598507\n", "WLShift_1 0.0009633142673415307\n", "Broadening_1_0 0.013356093137605052\n", "Broadening_2_0 -0.07808122616865237\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# and the fitted systematics\n", "\n", "for name, value in zip(opt.fit_names, optimized_map):\n", " if name.startswith(('Offset', 'Slope', 'EScale', 'Broadening', 'WLShift')):\n", " print(name, value)\n", "\n", "model_binned = opt._binner.bin_model(tm.model(obs.wavenumberGrid))[1]\n", "edges = np.cumsum([0] + [len(r) for r in obs._raw])\n", "fig, ax = plt.subplots(2, 1, figsize=(8, 5), sharex=True)\n", "for i, label in enumerate(['NRS1', 'NRS2']):\n", " sl = slice(edges[i], edges[i + 1])\n", " ax[0].errorbar(obs.wavelengthGrid[sl], obs.spectrum[sl], obs.errorBar[sl], fmt='.', ms=2, label=label)\n", " ax[1].plot(obs.wavelengthGrid[sl], (obs.spectrum[sl] - model_binned[sl]) / obs.errorBar[sl], '.', ms=2)\n", "ax[0].plot(obs.wavelengthGrid, model_binned, color='black', lw=1, label='model', zorder=10)\n", "ax[0].set_ylabel('Transit depth'); ax[0].legend()\n", "ax[1].set_ylabel('Residual ($\\sigma$)'); ax[1].set_xlabel('Wavelength ($\\mu$m)')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "d08636bd-bf2d-4d7b-bd91-af4412b6bfa0", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "taurex34", "language": "python", "name": "taurex34" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 5 }