{ "cells": [ { "cell_type": "markdown", "id": "7b3bb7f8", "metadata": {}, "source": [ "---\n", "aliases:\n", "- /2026/04/spt3g-d1-planck-comparison\n", "categories:\n", "- cosmology\n", "- python\n", "date: '2026-04-21'\n", "description: Load and compare the SPT-3G D1 high-ell TT power spectra with the Planck 2018 CMB power spectrum, illustrating primary vs. secondary CMB anisotropies.\n", "output-file: 2026-04-21-spt3g-d1-planck-comparison.html\n", "title: SPT-3G D1 high-ℓ CMB power spectra vs. Planck 2018\n", "---" ] }, { "cell_type": "markdown", "id": "ai-provenance-001", "metadata": {}, "source": [ "> **AI-generated notebook** — This notebook was created by [GitHub Copilot](https://github.com/features/copilot) (Claude Sonnet 4.6) from the following prompts:\n", ">\n", "> 1. *\"read https://lambda.gsfc.nasa.gov/product/spt/spt3g_d1_high_ell_info.html and the relative paper, then create a jupyter notebook based post that loads the spectra and compares them with the latest spectra from planck. cite stuff properly. be didactic. run it using a uv venv. find a way of specifying requirements inside the notebook itself. the most standard way.\"*\n", "> 2. *\"I look at the band powers. In the original paper, the error bars are a lot larger. They are increased by a factor of 10, do that also here and mention it.\"*\n" ] }, { "cell_type": "markdown", "id": "5e48e441", "metadata": {}, "source": [ "# SPT-3G D1 high-ℓ CMB power spectra vs. Planck 2018\n", "\n", "## Background\n", "\n", "The **Cosmic Microwave Background (CMB)** temperature anisotropy power spectrum\n", "is usually expressed as $D_\\ell = \\ell(\\ell+1)C_\\ell/(2\\pi)$ in units of $\\mu\\mathrm{K}^2$.\n", "It encodes the statistical properties of tiny temperature fluctuations imprinted\n", "on the CMB at recombination ($z \\approx 1100$) and provides our most precise\n", "probe of cosmological parameters.\n", "\n", "The power spectrum can be divided into two regimes by the physical processes\n", "responsible for the signal:\n", "\n", "### Primary anisotropies ($\\ell \\lesssim 2500$)\n", "\n", "These arise from density and velocity perturbations in the primordial plasma.\n", "The characteristic acoustic peaks at $\\ell \\approx 200, 500, 800, \\ldots$ are\n", "perfectly measured by **Planck** (Planck Collaboration 2020).\n", "\n", "### Secondary anisotropies ($\\ell \\gtrsim 2000$)\n", "\n", "At smaller angular scales, primary CMB fluctuations are exponentially suppressed\n", "by Silk damping. A rich variety of physical processes contributes instead:\n", "\n", "| Effect | Abbreviation | Physical origin |\n", "|--------|-------------|----------------|\n", "| Thermal Sunyaev–Zel'dovich | tSZ | Inverse Compton scattering off hot ICM electrons |\n", "| Kinematic Sunyaev–Zel'dovich | kSZ | Doppler shift from bulk motions of ionized gas |\n", "| Cosmic Infrared Background | CIB | Cumulative emission from dusty star-forming galaxies |\n", "| Radio galaxies | RG | Synchrotron emission from AGN |\n", "\n", "The tSZ effect has a distinctive frequency spectrum (decreasing below 217 GHz,\n", "rising above), which means multi-frequency observations can separate it from\n", "the CIB. The kSZ effect has the same frequency spectrum as the CMB and can only\n", "be separated statistically.\n", "\n", "## The SPT-3G D1 data set\n", "\n", "The **South Pole Telescope** (SPT) is a 10-meter microwave telescope at the\n", "South Pole, operated by a collaboration led by the University of Chicago.\n", "The SPT-3G receiver observes simultaneously at **95, 150, and 220 GHz** with\n", "~16,000 detectors.\n", "\n", "Chaubal et al. (2026) present the SPT-3G D1 TT high-ℓ power spectra using\n", "observations from **2019 and 2020** of the 1646 deg² SPT-3G Main field.\n", "The measurements span **1700 ≤ ℓ ≤ 11,000** across six frequency\n", "auto- and cross-spectra:\n", "95×95, 95×150, 95×220, 150×150, 150×220, 220×220 GHz.\n", "\n", "> **Citation:** Chaubal P. et al. 2026, *SPT-3G D1: A Measurement of Secondary\n", "> Cosmic Microwave Background Anisotropy Power*, arXiv:2601.20551.\n", "> Data hosted at [LAMBDA](https://lambda.gsfc.nasa.gov/product/spt/spt3g_d1_high_ell_info.html)\n", "> and [UChicago SPT site](https://pole.uchicago.edu/public/data/chaubal26/).\n", "\n", "In this notebook we:\n", "\n", "1. Download and parse the SPT-3G D1 band powers.\n", "2. Download the Planck 2018 (PR3) binned TT spectrum.\n", "3. Compare the two datasets to visualise how SPT-3G extends the CMB power\n", " spectrum into the secondary-anisotropy regime." ] }, { "cell_type": "markdown", "id": "1d0e2a46", "metadata": {}, "source": [ "## Requirements\n", "\n", "This notebook uses only the standard scientific Python stack.\n", "The cell below installs the dependencies with `pip` (the standard way to\n", "declare and install notebook requirements).\n", "\n", "To run this notebook in an isolated [uv](https://github.com/astral-sh/uv)\n", "virtual environment:\n", "\n", "```bash\n", "uv venv .venv\n", "source .venv/bin/activate\n", "uv pip install notebook\n", "jupyter execute 2026-04-21-spt3g-d1-planck-comparison.ipynb\n", "```\n", "\n", "The `%pip install` cell below is the standard Jupyter mechanism for\n", "embedding package requirements directly inside a notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "a3370c43", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:17.823339Z", "iopub.status.busy": "2026-04-22T00:19:17.823143Z", "iopub.status.idle": "2026-04-22T00:19:18.177501Z", "shell.execute_reply": "2026-04-22T00:19:18.175269Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/home/zonca/p/software/zonca.dev/posts/.venv-spt3g/bin/python: No module named pip\r\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "%pip install numpy matplotlib requests" ] }, { "cell_type": "code", "execution_count": 2, "id": "3b8d1a6b", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:18.181849Z", "iopub.status.busy": "2026-04-22T00:19:18.181557Z", "iopub.status.idle": "2026-04-22T00:19:19.677180Z", "shell.execute_reply": "2026-04-22T00:19:19.675977Z" } }, "outputs": [], "source": [ "import io\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.ticker as ticker\n", "import requests\n", "\n", "# Consistent, publication-friendly style\n", "plt.rcParams.update({\n", " 'figure.dpi': 120,\n", " 'axes.grid': True,\n", " 'grid.alpha': 0.3,\n", " 'font.size': 11,\n", "})" ] }, { "cell_type": "markdown", "id": "4cea681c", "metadata": {}, "source": [ "## 1. Load the SPT-3G D1 band powers\n", "\n", "The released text file `dls.txt` contains 144 rows (24 per frequency\n", "combination) with four columns:\n", "\n", "| Column | Meaning |\n", "|--------|---------|\n", "| index | Band index (0-based within each spectrum) |\n", "| ℓ | Effective multipole of the band |\n", "| $D_\\ell$ | Band power $\\ell(\\ell+1)C_\\ell/(2\\pi)$ in $\\mu\\mathrm{K}^2$ |\n", "| $\\sigma D_\\ell$ | $1\\sigma$ uncertainty (diagonal covariance) |\n", "\n", "Rows are ordered: all 95×95 bands, then 95×150, 95×220, 150×150,\n", "150×220, 220×220." ] }, { "cell_type": "code", "execution_count": 3, "id": "3cef3441", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:19.679157Z", "iopub.status.busy": "2026-04-22T00:19:19.678881Z", "iopub.status.idle": "2026-04-22T00:19:19.909614Z", "shell.execute_reply": "2026-04-22T00:19:19.907326Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape: (144, 4) → 144 rows, 4 columns\n", "Rows per frequency combination: 24\n" ] } ], "source": [ "SPT_URL = \"https://pole.uchicago.edu/public/data/chaubal26/dls.txt\"\n", "\n", "resp = requests.get(SPT_URL, timeout=30)\n", "resp.raise_for_status()\n", "raw = np.loadtxt(io.StringIO(resp.text))\n", "\n", "print(f\"Shape: {raw.shape} → {raw.shape[0]} rows, {raw.shape[1]} columns\")\n", "print(f\"Rows per frequency combination: {raw.shape[0] // 6}\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "a2b62069", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:19.913838Z", "iopub.status.busy": "2026-04-22T00:19:19.913527Z", "iopub.status.idle": "2026-04-22T00:19:19.919954Z", "shell.execute_reply": "2026-04-22T00:19:19.919105Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "95×95: ℓ = 1751 – 10379 (24 bands)\n", "95×150: ℓ = 1752 – 10402 (24 bands)\n", "95×220: ℓ = 1751 – 10411 (24 bands)\n", "150×150: ℓ = 1752 – 10430 (24 bands)\n", "150×220: ℓ = 1751 – 10449 (24 bands)\n", "220×220: ℓ = 1752 – 10436 (24 bands)\n" ] } ], "source": [ "FREQS = [\"95×95\", \"95×150\", \"95×220\", \"150×150\", \"150×220\", \"220×220\"]\n", "N_BANDS = raw.shape[0] // len(FREQS) # 24 bands per spectrum\n", "\n", "# Split into a dict keyed by frequency label\n", "spt = {}\n", "for i, name in enumerate(FREQS):\n", " chunk = raw[i * N_BANDS : (i + 1) * N_BANDS]\n", " spt[name] = {\n", " \"ell\": chunk[:, 1],\n", " \"Dl\": chunk[:, 2],\n", " \"sigmaDl\": chunk[:, 3],\n", " }\n", "\n", "# Sanity check\n", "for name, d in spt.items():\n", " print(f\"{name}: ℓ = {d['ell'][0]:.0f} – {d['ell'][-1]:.0f} \"\n", " f\"({N_BANDS} bands)\")" ] }, { "cell_type": "markdown", "id": "939ce723", "metadata": {}, "source": [ "## 2. Visualise all six SPT-3G D1 spectra\n", "\n", "Each panel shows $D_\\ell$ with $\\pm 1\\sigma$ error bars **multiplied by 10**\n", "(following the convention of Fig. 2 in Chaubal et al. 2026, where uncertainties\n", "are inflated by a factor of ten to be visible on a log scale). The colour coding\n", "follows frequency: blue → 95 GHz, green → 150 GHz, red → 220 GHz.\n", "\n", "Key features to notice:\n", "\n", "* **Declining slope at low ℓ (~2000–3000):** residual primary CMB power\n", " (the damping tail).\n", "* **Minimum near ℓ ≈ 3000:** tSZ has a null at ~217 GHz and suppresses\n", " the 150×150 spectrum, creating a local minimum.\n", "* **Rising power at high ℓ (>4000):** CIB dominates the 220 GHz channels;\n", " radio galaxies (flat or rising spectra) appear in lower frequency channels.\n", "* **Cross-spectra help separate components:** the 95×220 cross-spectrum,\n", "\n", " for example, is sensitive to the CIB without the noise penalty of a 220×220 auto-spectrum." ] }, { "cell_type": "code", "execution_count": 5, "id": "e52cf168", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:19.921560Z", "iopub.status.busy": "2026-04-22T00:19:19.921393Z", "iopub.status.idle": "2026-04-22T00:19:21.645475Z", "shell.execute_reply": "2026-04-22T00:19:21.644625Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Colour map: one colour per unique frequency pair\n", "palette = {\n", " \"95×95\": \"#1f77b4\", # blue\n", " \"95×150\": \"#2ca02c\", # green\n", " \"95×220\": \"#9467bd\", # purple\n", " \"150×150\": \"#ff7f0e\", # orange\n", " \"150×220\": \"#d62728\", # red\n", " \"220×220\": \"#8c564b\", # brown\n", "}\n", "\n", "fig, axes = plt.subplots(2, 3, figsize=(14, 7), sharey=False, sharex=True)\n", "axes = axes.flatten()\n", "\n", "for ax, name in zip(axes, FREQS):\n", " d = spt[name]\n", " ax.errorbar(\n", " d[\"ell\"], d[\"Dl\"], yerr=10 * d[\"sigmaDl\"],\n", " fmt=\"o\", ms=3, lw=0.8, color=palette[name], label=name,\n", " capsize=2, elinewidth=0.8,\n", " )\n", " ax.set_title(f\"{name} GHz\", fontsize=12)\n", " ax.set_yscale(\"log\")\n", " ax.set_xlabel(r\"Multipole $\\ell$\")\n", " ax.set_ylabel(r\"$D_\\ell\\;[\\mu\\mathrm{K}^2]$\")\n", " ax.set_xlim(1500, 11500)\n", "\n", "fig.suptitle(\n", " \"SPT-3G D1 high-ℓ TT band powers (Chaubal et al. 2026, arXiv:2601.20551)\\nError bars ×10 for visibility\",\n", " fontsize=13, y=1.01,\n", ")\n", "fig.tight_layout()\n", "plt.savefig(\"spt3g_d1_six_spectra.png\", bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "10a18c26", "metadata": {}, "source": [ "## 3. Load the Planck 2018 TT spectrum\n", "\n", "We use the **Planck PR3** binned TT spectrum, which covers\n", "$47 \\lesssim \\ell \\lesssim 2500$ with five columns:\n", "\n", "| Column | Meaning |\n", "|--------|---------|\n", "| ℓ | Effective multipole |\n", "| $D_\\ell$ | Measured band power ($\\mu\\mathrm{K}^2$) |\n", "| $-\\delta D_\\ell$ | Lower 1σ error |\n", "| $+\\delta D_\\ell$ | Upper 1σ error |\n", "| BestFit | Best-fit ΛCDM model |\n", "\n", "> **Citation:** Planck Collaboration V (2020), *Planck 2018 results. V. Power\n", "> spectra and likelihoods*, A&A 641, A5.\n", "> DOI: [10.1051/0004-6361/201936386](https://doi.org/10.1051/0004-6361/201936386).\n", "> Data: [Planck Legacy Archive (IRSA)](https://irsa.ipac.caltech.edu/data/Planck/release_3/ancillary-data/cosmoparams/)." ] }, { "cell_type": "code", "execution_count": 6, "id": "78c800e1", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:21.647216Z", "iopub.status.busy": "2026-04-22T00:19:21.647030Z", "iopub.status.idle": "2026-04-22T00:19:21.677844Z", "shell.execute_reply": "2026-04-22T00:19:21.676833Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Planck PR3 TT spectrum: 83 bins\n", "ℓ range: 48 – 2499\n" ] } ], "source": [ "PLANCK_URL = (\n", " \"https://irsa.ipac.caltech.edu/data/Planck/release_3/\"\n", " \"ancillary-data/cosmoparams/COM_PowerSpect_CMB-TT-binned_R3.01.txt\"\n", ")\n", "\n", "resp_pl = requests.get(PLANCK_URL, timeout=30)\n", "resp_pl.raise_for_status()\n", "\n", "planck = np.loadtxt(io.StringIO(resp_pl.text), comments=\"#\")\n", "pl = {\n", " \"ell\": planck[:, 0],\n", " \"Dl\": planck[:, 1],\n", " \"err_lo\": planck[:, 2],\n", " \"err_hi\": planck[:, 3],\n", " \"bestfit\": planck[:, 4],\n", "}\n", "\n", "print(f\"Planck PR3 TT spectrum: {len(pl['ell'])} bins\")\n", "print(f\"ℓ range: {pl['ell'][0]:.0f} – {pl['ell'][-1]:.0f}\")" ] }, { "cell_type": "markdown", "id": "9de19af3", "metadata": {}, "source": [ "## 4. Full ℓ range: Planck + SPT-3G D1 (150×150 GHz)\n", "\n", "Planck's **143 GHz** channel is the closest match to SPT-3G's **150 GHz** band.\n", "Although the two instruments use slightly different effective frequencies and\n", "source-masking thresholds, the 150×150 SPT-3G spectrum is the most natural\n", "counterpart to the Planck TT spectrum for a direct comparison.\n", "\n", "The plot below shows:\n", "\n", "* **Grey shaded region (Planck PR3):** primary CMB spectrum measured with\n", " full-sky coverage and multiple frequencies for foreground separation.\n", " Plotted up to ℓ ≈ 2500 where Planck signal-to-noise remains adequate.\n", "* **Blue curve (Planck best-fit ΛCDM):** smooth theoretical prediction\n", " continuing into the damping tail.\n", "* **Orange points (SPT-3G D1 150×150):** SPT-3G measurements at 1700 ≤ ℓ ≤ 11,000,\n", " showing both the damping tail region *and* the foreground-dominated regime.\n", "\n", "> **Note on error bars:** Following Fig. 2 of Chaubal et al. (2026), all\n", "> plotted uncertainties are **inflated by a factor of 10** to be visible\n", "> on the logarithmic scale. The actual $1\\sigma$ errors are 10× smaller.\n", "\n", "\n", "Note the transition near **ℓ ≈ 3000–4000**: below this range, SPT-3G roughly$D_\\ell$ above the pure-CMB prediction.\n", "\n", "follows the Planck best-fit damping tail; above it, foreground power (CIBfrom dusty galaxies, SZ effects) begins to dominate and push the measured" ] }, { "cell_type": "code", "execution_count": 7, "id": "75e42c4e", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:21.680032Z", "iopub.status.busy": "2026-04-22T00:19:21.679798Z", "iopub.status.idle": "2026-04-22T00:19:22.621615Z", "shell.execute_reply": "2026-04-22T00:19:22.620814Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 5))\n", "\n", "# ── Planck PR3 band powers (error bars ×10 for visibility) ──────────────────\n", "ax.errorbar(\n", " pl[\"ell\"], pl[\"Dl\"],\n", " yerr=[10 * pl[\"err_lo\"], 10 * pl[\"err_hi\"]],\n", " fmt=\"none\", ecolor=\"#aaaaaa\", elinewidth=0.6, alpha=0.7,\n", " label=\"Planck PR3 TT (2018)\",\n", ")\n", "ax.scatter(\n", " pl[\"ell\"], pl[\"Dl\"],\n", " s=5, color=\"#555555\", zorder=3,\n", ")\n", "\n", "# ── Planck best-fit ΛCDM (extended to high ℓ as reference) ──────────────────\n", "ax.plot(\n", " pl[\"ell\"], pl[\"bestfit\"],\n", " color=\"royalblue\", lw=1.4, ls=\"--\",\n", " label=\"Planck best-fit ΛCDM\",\n", ")\n", "\n", "# ── SPT-3G D1 150×150 GHz (error bars ×10 for visibility) ──────────────────\n", "d150 = spt[\"150×150\"]\n", "ax.errorbar(\n", " d150[\"ell\"], d150[\"Dl\"], yerr=10 * d150[\"sigmaDl\"],\n", " fmt=\"o\", ms=4, color=\"#ff7f0e\", elinewidth=0.9,\n", " capsize=2, label=\"SPT-3G D1 150×150 GHz (err ×10)\",\n", " zorder=5,\n", ")\n", "\n", "# ── Annotations ──────────────────────────────────────────────────────────────\n", "ax.axvspan(1700, 2500, alpha=0.05, color=\"green\", label=\"Overlap region\")\n", "ax.annotate(\n", " \"tSZ minimum\\n@ 150 GHz\",\n", " xy=(3200, 32), xytext=(4200, 60),\n", " fontsize=9, color=\"#cc4400\",\n", " arrowprops=dict(arrowstyle=\"->\", color=\"#cc4400\", lw=0.8),\n", ")\n", "ax.annotate(\n", " \"CIB + radio\\ngalaxies rising\",\n", " xy=(7000, 180), xytext=(6000, 450),\n", " fontsize=9, color=\"#cc4400\",\n", " arrowprops=dict(arrowstyle=\"->\", color=\"#cc4400\", lw=0.8),\n", ")\n", "\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(r\"Multipole $\\ell$\", fontsize=13)\n", "ax.set_ylabel(r\"$D_\\ell = \\ell(\\ell+1)C_\\ell / 2\\pi\\;\\;[\\mu\\mathrm{K}^2]$\", fontsize=13)\n", "ax.set_title(\n", " \"CMB TT power spectrum: Planck 2018 PR3 + SPT-3G D1 (150×150 GHz)\",\n", " fontsize=13,\n", ")\n", "ax.set_xlim(30, 12000)\n", "ax.set_ylim(10, 1e5)\n", "ax.legend(fontsize=10, loc=\"upper right\")\n", "\n", "# Secondary x-axis showing angular scale θ ≈ 180°/ℓ\n", "ax2 = ax.twiny()\n", "ax2.set_xlim(ax.get_xlim())\n", "tick_ells = [100, 500, 1000, 3000, 6000, 11000]\n", "ax2.set_xticks(tick_ells)\n", "ax2.set_xticklabels([f\"{180/l:.1f}°\" for l in tick_ells], fontsize=9)\n", "ax2.set_xlabel(r\"Angular scale $\\theta = 180°/\\ell$\", fontsize=11)\n", "\n", "plt.tight_layout()\n", "plt.savefig(\"spt3g_d1_planck_comparison.png\", bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "339fd877", "metadata": {}, "source": [ "## 5. Zoom into the overlap region\n", "\n", "Planck measures up to $\\ell \\approx 2500$ and SPT-3G D1 starts at $\\ell = 1700$,\n", "giving a **~800-multipole overlap window** where both experiments should agree\n", "on the primary CMB power.\n", "\n", "Any systematic offset between the two would signal calibration differences\n", "or residual foreground contamination in one (or both) data sets." ] }, { "cell_type": "code", "execution_count": 8, "id": "ad5e7592", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:22.623226Z", "iopub.status.busy": "2026-04-22T00:19:22.623062Z", "iopub.status.idle": "2026-04-22T00:19:22.964406Z", "shell.execute_reply": "2026-04-22T00:19:22.963576Z" } }, "outputs": [ { "data": { "image/png": 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bb7whAIhdu3YZluubtAIQM2bMMBuXuS4emZmZ4v79+yZlExMTRZMmTYSHh4dIT083WlezZk1D89nMzEzD8ri4OFG7dm0BQBw5ciS/02M2pmbNmomYmBijdWq1WtSpU0eoVCqT5tbh4eHC399fVK1a1SgG/bl59913jcqfP39e2NnZmW3uau68bNmyRQAQrVq1EikpKYblqampok2bNgKA2Lx5s9E2+vM/YsQIo7/ZlStXhFwuF40aNcr3+IvTtUG/n7wOHDhg6OIRGhoqhMi/iXZYWJjRedPbv3+/kMlkYuzYsUbL9c3BYaZJ8erVq802qZ8xY4YAIPr27Wuyr8zMTBEdHW34PW8XjwMHDghXV1fh5+cnzp8/X+D5yK2gLh5DhgwRAMQTTzxRaHkhhBg5cqQAIPr06ZPv/s6cOSPmzZsnZs2aJYYOHSo8PT2FXC4XK1euLHLM9evXF3Z2diIuLs5oeWZmpvDw8BC+vr5CrVYLIYT46aefBAAxadIkk3qysrJEcnJykfdrzsCBAwUAUbt2bbF48WJx8uRJkZaWVuA2BXXx8PX1FQDExo0bzW5bmi4eeosXLxbz5s0TkyZNEp07dxYARPPmzY2uL7VaLZRKpQAgbt26VeJ9mVNYFw+9r7/+WgAQXbp0ybdMabt4VKlSRbi6ugqdTldo2eJ08TD31a1bN3H37l2j8qmpqQKAcHZ2NltfTEyMACB8fX3Nrk9JSRGPP/64ACCmTZsmhBDixo0bolq1akKhUIitW7cWely54y5KFw9zXy1atBAXL140Ke/t7S0AGP2vzs3JyUkAKPQ1I4QQtWrVEgDEwYMHi3RMeelfO/379xfz5s0z+6V/bRbWxSM7O1v06NFDABBLly41WZ+YmCgAiMcee6xEsRKREExQEJHFNWrUSAAQe/fuLbTstGnTTB7YNm/eLACIqVOnGpU9c+aMACCee+45wzKtVis8PT1F1apVDQ8muSUkJAhJksQLL7xgWKa/IatSpYrZB08hij8GRUhIiNlkgz5BcfToUZNt9Dfrw4YNK9I+9DHlTrbo7dq1y+w501u6dKkAIH799VchRM4DmoODg3BzczP7oKZ/4CxKgkLfV33//v0m9Rw8eFAAEN27dzdaDkA4OjqKpKQkk226dOkiABglO4QQ4u7du+Lq1atFuqHNvR/9ccybN0/MnDlTDBw4UMjlcgFAvP3224ayJelD3qxZM1GrVi2jZfqHGXM3/NnZ2UKhUIg2bdoYlmk0GuHm5iYcHBxEeHh4ofvMnaD49ttvhVKpFI0aNTJ5ACqM/vpr0aKF4fxMmjRJtGzZUgAQDg4O4sSJEwWWf/vtt0Xbtm0FAOHv7y+uX7+e7/5WrVpl9GDj4uKS78N4fj744AMBQCxfvtxo+bZt20z+nvoERX5JyNKKj48Xzz//vJAkyXBMMplMNG/eXMyaNUs8ePDAZBv962fo0KFi3rx5Yu7cueKNN94Q7u7uAoBo166dyM7ONrs/SyQo9ONc6L+efvppkzijoqIM682NXXH48GGTh7sff/yxSPsvaoJi7969AoDZRGXuOEqaoMjKyhIARL169YpUvij7ioqKEnPmzBF//fWXSEhIEAkJCeLIkSOie/fuAoCoW7euSE1NNZQPDw8XAERAQIDZ+rKzswUAYWdnl+8+U1NTDe+Xb7zxhvDz8xMKhUL88MMPRTouIYqeoJg8ebI4fvy4iImJESkpKeLMmTNi0KBBAoDw9vYWYWFhRuX1SS5z/5eFEMLf318AKNL4Mw4ODgKAuHr1qsm6v//+2+R6zPsa0b92ivJVWIJi+PDhAoCYMGFCvmXs7e1FlSpVCj0uIjKPXTyIyOY899xzcHNzw+bNm/HRRx8Z+snmbcIN5IwPEB8fj3r16mHhwoVm63NwcDDbD7dFixZQqVTFiu3KlStYvHgxjh49isjISGRmZhqtNzd1qkKhQMeOHU2W67sp5O1nXZh27dqZLDtx4gQA4O7du2anSdP3Mb969Sp69+6N69evIyMjA23btoWLi4tJ+c6dOxd5Pvdz585BJpOZ7XbRtWtXyOVys8dYr149s11q9P3dExIS4OzsbFheo0aNIsVjjr6JtCRJcHd3x+OPP44RI0YUaYpCIQQ2b96M9evX48KFC0hISIBWqzWst7OzM7td3nFSgJwuEFWqVEFCQoJh2bVr15CUlIT27dvD39+/yMe0bNky7N69G506dcJPP/1k1Ie9OC5cuGCYIlSpVMLPzw+DBw/G9OnT0bhx4wLL69WoUQPHjh0r8G80duxYjB07FpmZmbhz5w5Wr16NIUOG4Pjx40Xuiz5kyBDMmTMHGzZswJtvvmlYbu69oWvXrggICMBHH32Ec+fOoXfv3ujUqRNatmxpkb73Hh4e2LFjB0JDQ7F//36cPXsWZ86cwcWLF3Hx4kWsWrUK+/btw2OPPWaybe5pFp2cnFCvXj0MHDgQkydPLlY3GSBnvAFz0yeaex948OABgJyxOf78809Mnz4drVq1wi+//ILWrVsXaX+///67SZeDoUOHmp25oqREGXd30U+tWtLXjDm+vr5GXS0AoEuXLvjtt9/QuXNnnDp1Cl9//bXZrosl5eTkhL1796JXr1745ptvAORMjzpw4ECL7UMvJCTE6Pe2bdti27ZtGDRoEHbs2IFPP/0Un332mcX3W5jz58+bXI9du3Y1O9vIunXr8p2S97333jOpJ68PPvgA69atQ9++fbF06dJ8y3l6eppMMUxERccEBRFZXNWqVXH16lXcv3+/0LL6MrkfzBwcHPDiiy/iq6++wm+//YZnnnkG2dnZ2Lp1K3x8fAz9V4GHN5o3b94s8ObC3LzkRenLmtvJkyfxxBNPQKPRoEePHujXrx9cXV0hk8lw/vx57N69G1lZWSbbeXt7m30g0u8/KSmpWHGYi1t/HrZt21bgtvrzoN+nuSkQC1puTlJSEjw9Pc0+qCsUCnh7eyM6Otpknbu7u9n69P2HcycBSkv/wFMSkydPxtKlS+Hn54devXohICAADg4OAHIGUbt7967Z7Qo6vtzHlpiYCABmx7EoyNGjRyGEQI8ePUr1oDV06FCzD7iFlRdCIDo6GmvXrsXs2bPRt29fnDhxAo6OjgVub29vj0aNGmHZsmXIysrCmjVr0LNnzyJNN1ytWjX06NEDBw4cwNWrV9GoUSNER0dj3759aNmypVFff1dXV5w8eRLz5s3DTz/9hP379wPIeT2OGzcOs2fPLnYywJzAwECMGTMGY8aMAZAzUO24cePw888/Y9SoUTh//rzJNpYaRwXISVCYe+8zl6DQq1KlCp577jm0bt0a9evXx5AhQ3D58mUAOQ9XSqUSarUaERERJuN0vPfee4a6Dx48iCeffNIix5FbREQEAMDHx8fidQMwvH7zJpjLgkKhwMiRI3Hq1CkcPXrUkKBwc3MDkP/7v355fu8jenfu3DEa5PTQoUN4/vnny20sk7Fjx2LHjh04evSo0XI3NzfExsYiKSkJXl5eJtvpj09/HgpStWpV3LlzBxEREWjYsKHRumHDhhmSDrdu3SpwrJ7S2Lp1K+bMmYM2bdpg69atkMnyn2cgIyPDcI0RUfFxFg8isjj9oGP6Qcjyo9VqDbNm5B0FXj9Aov6Txl9//RVxcXF49dVXjR4q9Dc3zz33HEROtzWzX3fu3DHZf3Fv4BYuXIiMjAz89ttv2Lt3L5YuXYr58+fjvffeQ/v27fPdLjY21uzDtv7TzKLcoBUWt76O3bt3F3ge9AN+6Vsu5PcpT3E+/XFzc0N8fDzUarXJOo1Gg9jY2AIHH7Vl0dHR+Pzzz9G0aVNcv34dmzZtwscff2x4SCtuCxxz9A8g5lrfFGTt2rVo37493n//fcydO7fUcRSXJEmoUqUKZs6ciSlTpuDixYuYPXt2serQJxsLmj0nr7zvDZs3b4ZGozE7m0a1atWwdu1aREdH4/Lly/j888/h5eWF+fPnm3zabSnVqlXDd999Bzs7O1y4cAHx8fFlsh+9bt26mX2tF0XNmjXRuHFjXLlyBbGxsQByHqj172f/+9//yizughw+fBgACnxfLQ13d3fY2dkZErtlTZ9oSUtLMyxzcnJCQECAYaDVvPRJh/r16+db76VLl9C9e3ckJydj9+7d6N27N1auXIkxY8aUKilbHOaODYBh4NsbN26YbBMZGYm0tDRUq1at0IQm8PD+wFrX47FjxzB8+HBUr14dP//8c4EDx+p0OiQmJhoGryai4mOCgogsbtiwYZDL5fjxxx9x5cqVfMt98803iIiIQIMGDdC1a1ejdZ06dUK9evWwe/duJCUlGR5G8j6ENGzYEO7u7jh58qTZB2RLunXrFjw9Pc1+8nnkyJF8t9NoNGanltQ/lFlilHr9SOrHjh0rUvmGDRvCwcEBFy9eREpKisn6P/74o8j7btWqFXQ6ncknaEDOp/xarbbIzcdtzb///gudToennnrKpCtMWFhYqaaq1NNfwxcvXjR8clwU7u7uOHDgAB5//HEsWLAA7777bqljKam5c+fCx8cHy5cvN5sMzI8+KVOcUfeff/55uLq6YtOmTdDpdNiwYQMUCkWBUwtKkoQmTZpgwoQJhun/du3aVeR9FpdKpTK0KCqvB8WS0l9zuVt56WcjCgkJQXp6ernGc+3aNWzbtg2SJFlsukhzmjVrhsjISCQnJ5fZPvROnjwJACatUZ544gkAwL59+0y20U9drS+T1/nz5/HEE08gLS0Nv/zyC/r164cff/wR/fr1w1dffYU33njD7BTPllYWx5aX/nr88ssvy73rxI0bNzBgwACoVCr8+uuvhc7Yc/36dQgh0LJly/IJkOgRxAQFEVlc7dq1MXPmTKjVavTr1w///POPSZldu3Zh4sSJkMvlWLVqldnmkkOHDkVmZiZWrlyJPXv2oHnz5iYP8wqFAhMmTEBkZCTeeustZGRkmNQTGRlpNobiCgwMRHx8PC5evGi0fO3atYbm4/mZMWOGUfeP+Ph4w5gZw4cPL3Vs/fv3R506dbBixQrs2bPHbJkTJ04YHjbs7Ozw0ksvISkpyWTsjgsXLmDjxo1F3vcbb7wBIOcYcz/MpKenY/r06QCAESNGFOt4zLl37x6uXbtWrg9MgYGBAHISNrlbwaSmpmLUqFHQaDSl3odcLse4ceOQkZGBsWPHmnQTys7ORkxMjNltXVxcsG/fPvTo0QOLFy+2aP/24nBxccG0adOgVqtNuhacPn3a7Da3b9/GokWLAADPPvtskfel7wIWHh6Ozz77zDDFat5PLK9cuWL2YUa/LO8nt9euXcO1a9eKFENaWhoWLFiQ78PS0qVLkZqaisaNG5tt3l6ebty4YbYbgU6nw6xZsxAdHY2OHTsadRN6/fXX0aNHD1y/fh19+/ZFWFiY2br13ZMs5ciRI3j66aeRnZ2N4OBgtGjRwqL159atWzfodLp8r8/iOnfunNmEwP/+9z/D2Ax5x7wZO3YsgJyxDXKPSxMaGooVK1ZApVKZ/f9w7tw59OjRA5mZmdi7d6/hQd/Ozg7bt2/H888/j/Xr12PIkCEW6Sp38eJFsx8AXLx4EbNmzTJ7bMOHD4dKpcLy5csRGhpqWJ6QkGB43euPvzD6MSViY2PRq1cvs2NKAZa/HmNjY9G7d28kJydj+/btaNq0aaHb6BM23bt3t2gsRJUJx6AgojLx3nvvIS0tDUuWLEGLFi3Qq1cvNGnSBGq1Gn/++SdOnToFBwcHbN26Nd9/5IMHD8bcuXMxb948qNVqs024AWDOnDm4cOECVq9ejZ9//hlPPPEEAgICEB0djZs3b+L48eP44IMPzA74VxyTJk3C/v370blzZ7z44otwc3PD2bNn8ccff2DQoEHYvn272e38/PyQlZWFpk2bol+/flCr1di+fTsiIyMxbtw4dOnSpVRxATmDG+7cuRO9evXCs88+i44dO6Jly5ZwdHTE/fv3cebMGfz777+IjIw0PJh99NFHOHToED755BOcOnUKHTt2RGRkJH744Qf07t0bu3btKrCfrd6rr76K3bt344cffkCTJk0wYMAASJKEXbt24c6dO3jppZfw2muvlfoYhwwZgiNHjli0/35hqlatipdffhnfffcdWrZsiaeeegpJSUk4cOAA7O3t0bJlS7NjDBTXvHnzcOrUKfz888+oX78++vTpAxcXF9y/fx+//fYbFi9enO/gbo6Ojvjll18wcOBAfP7558jMzMTq1avLrQ+63rhx4/Dpp59i06ZNmD59Oho1agQAeOqpp+Dr64tWrVqhevXq0Gg0uH37Nvbt2weNRoMJEyYUexyDoUOH4uuvv8aMGTMMv+d14MABvPPOOwgKCkL9+vXh6+uLsLAw7N69GzKZDO+8845ReX28RWnxoFarMXfuXLz//vto164dWrZsCQ8PD8THx+P48eO4dOkSnJycijz4Z1nas2cPZsyYgc6dO6NWrVrw8vJCVFQUjhw5gn///RdVq1bFV199ZbSNXC7Hzp07MWTIEOzevRu1a9dG165d0bRpUzg6OiImJgZXrlzBn3/+CTs7u2J3xTh//rwhkZWVlYWoqCicOnUK//zzD2QyGSZPnoxPPvnEZLtdu3YZWr7ou8idOHHC8Nrw9vbGp59+WqQYBg4ciJCQEOzfvx89e/Ys9b4mT56MmzdvomPHjqhWrRqAnAf4Q4cOAQAWLFhgMlhyx44dMXnyZCxZsgTNmzfHoEGDkJ2dje+//x7x8fH44osvDEnS3DZt2gSNRoP9+/eb1KlUKvH999/jtddew549e3D79m2TbiJ//PGHYRBk/bhEN2/eNHqPyT0uzZIlS/Dzzz/j8ccfR/Xq1aFSqXDt2jXs27cPWq0Wo0aNwiuvvGK0j1q1amHx4sV466230LZtW7z00kuGBEpYWBimTJmCoKAgk2PLz5o1a2BnZ4cvv/wSTZs2RceOHdGqVSu4uroiLi4ON2/exO+//w6ZTGboZlpac+fOxe3bt9G6dWscP34cx48fNykzadIko3FCfvvtN8jlcvTv398iMRBVSuUzWQgRVVanTp0SQ4YMEYGBgcLe3l44OTmJJk2aiClTpoj79+8Xur1+vnGFQmF22j49nU4nNm7cKJ544gnh4eEhlEql8Pf3F506dRIffPCBuHfvnqFsUaaTzG+a0Z9//lm0b99eODs7Czc3N/Hkk0+KI0eOGKbPyzu9Wc2aNUXNmjVFYmKiGDdunPD39xd2dnaiYcOGYtmyZUKn0xV6DgqLKbeoqCgxbdo00aRJE+Hg4CCcnJxE3bp1xcCBA8W3335rMuVbWFiYGDJkiPD29hb29vaiRYsWYv369YZpGz/77LMixaDVasWKFStEmzZthIODg3BwcBCtW7cWy5cvF1qt1qQ8ANG1a1ezx6CfEu7OnTtm93348OECz0He/RT1X11+10VaWpqYOXOmqFOnjlCpVKJatWpi3LhxIjY21uz50E9JmN90dfprIi+1Wi2++OIL8dhjjwknJyfh6Ogo6tatK0aNGiVu3rxpKJd7mtHcsrKyxHPPPWc4BnPnPbeiTvlYnPKff/65ACCef/55w7Jly5aJZ599VtSoUUM4ODgIOzs7Ub16dTFo0CCxb9++Iu3bnLp16woAwtPTU2RlZZms/+eff8Tbb78t2rRpI7y9vYWdnZ2oWbOmGDhwoDh+/LhJ+eJcK1qtVuzdu1dMnjxZtGvXzjC9o7Ozs2jWrJmYOHGiyfUrRMmuYb2STjN66dIl8eabb4oWLVoILy8vIZfLhaurq2jbtq2YN2+eiIuLK3D7gwcPisGDB4s6deoIR0dHoVQqha+vr+jevbv44IMPivQ+rqe/hnJ/OTo6ioCAANGjRw8xd+5co2s9L/21n9+XuddVQVq2bCn8/PyERqMp9b6+/vpr8eyzz4qaNWsKJycnw3X+4osvmp1mOu95adu2rXB0dBTOzs6iS5cu4ueff863vE6nEzdu3CiwTo1Gk++5NPd3yPuV248//iiee+45UadOHeHi4iKUSqWoWrWq6NOnj9i9e3eBcfz000+iS5cuwtnZWTg6Ooq2bduK9evXF7hNQc6cOSNGjx4tGjVqJFxcXIRCoRBeXl6iY8eOYubMmeLatWsm2xTltaP/e+d+3y7K9KS5X+eJiYnC3t5e9O/fv8THR0RCSELYeOdIIqIKTP/pV+4mrhXBrFmzsGjRIuzbtw+9evWydjhERBa3detWvPrqq9i5cyeee+45a4dDFdwXX3yBt956C8eOHbNYKw6iyogJCiKiMmTrCYqIiAijKV6BnJHhO3bsCDs7O4SHh8Pe3t5K0RERlR0hBIKCgpCRkYHz58+Xe7coenRkZGSgTp066NixY77dPYmoaDgGBRFRJda2bVvUrVsXTZs2hZOTE27evIlff/0VOp0Oa9asYXKCiB5ZkiThyy+/xM6dOxEREYGAgABrh0QVVGhoKEaPHp3vWEFEVHRsQUFEVIZsvQXF+++/j127diE0NBQpKSlwd3dHhw4dMHXq1HIbiJKIiIiICGCCgoiIiIiIiIhsQOHzxxERERERERERlTEmKIiIiIiIiIjI6pigICIiIiIiIiKrY4KCiIiIiIiIiKyO04xWEImJiThy5AiqV68OlUpl7XCIiIiIiIiogsvKysL9+/fRtWtXuLu7WzscJigqiiNHjmDAgAHWDoOIiIiIiIgeMbt27UL//v2tHQYTFBVF9erVAeRcOHXr1rVyNDnUajWSkpLg5uYGpVJp7XBsVlJmEpKykuBi52LtUGyWVqtFanIqnF2dIZfLrR0OVXC8nshSeC2RJfF6KpqU7BS4qdzgZu9m7VBsFu/ByZKuXbuGQYMGGZ43rY0JigpC362jbt26aNKkiZWjyaFWqxEXFwcvLy++ORYgISMBcRlxcLd3t3YoNkuj0SA5IRmuHq5QKPi2RKXD64kshdcSWRKvp6JJzEyEl4MXPBw8rB2KzeI9OFmSWq0GAJsZRoCDZBIRERERERGR1TFBQURERERERERWxwQFEREREREREVkdExREREREREREZHVMUBARERERERGR1TFBQURERERERERWxwQFEREREREREVkdExREREREREREZHVMUBARERERERGR1TFBQURERERERERWxwQFEREREREREVkdExREREREREREZHUKawdAFduiRYsgl8shSZLR8iVLllgpIiIiIiIiIqqI2IKCLEKr1SI5ORlardbaoRAREREREVEFxBYUVCozZ86El5cXHjx4gClTpmDevHmoXr26tcMiIiIiIiKiCoYtKIiIiIiIiIjI6tiCgqiScF/7dJHKJY7YV8aREBERERERmWILCqJKSp54F/LEu9YOg4iIiIiICABbUBBVGnlbRuhbVLDFBBERERER2QK2oCAiIiIiIiIiq2OCgoiIiIiIiIisjgkKIiIiIiIiIrI6jkFBZOMWzFxgdvmcRXPKORIiIiIiIqKywxYURBWEVqdFSkoKtDqttUMhIiIiIiKyOLagILJx+pYSEeERWDhrISZNnwT/AH8rR0VERERERGRZTFCQTZo8ebLZ5UuWLCnnSIouv5jnfMCuGERERERERIVhFw+yaVqtFsnJydBqK063hooYMxERERERkbWxBQXZJH1Lifv372PKlCmYN28eqlevXup6y7JlRn4xJ2QklLpuIiIiIiKiRx1bUFClxFYOREREREREtoUtKKhSKauWGRVRTHQMAOCjPNOYcvpSIiIiIiKyBiYoqMRCQkIQEREBuVwOjUYDAPjkk0+gVCpRpUoVTJs2zcoRUlFodVqkp6XD0ckRcpnc2uEQEREREVElxQQFlVhUVBQePHhgsowqBh9fHwDA6CGjOX0pERERERFZHcegICIiIiIiIiKrYwsKIrKoBXnGtNDj2BZERERERFQQtqAgojKh1WmRkpICrY4zpRARERERUeHYgoLKRGqGDkIISJJk7VConOlbSkSER3BsCyIiIiIiKjK2oKAyEZuoxfQVMXgQp7F2KERERERERFQBMEFBJValShVUrVoVAQEBqFKlimGZu6c/JDtvnPknE28sjMRPR1OsHCkRERERERHZOnbxoBKbMmUK4uLi4OXlhQcPHmDKlCl49913Ub16dcQnafHFtgQcOZeO9Exh7VCJiIiIiIjIxrEFxX90Oh06dOgASZLQs2dPk/Xp6emYPn06AgMDoVKpEBgYiBkzZiA9Pd1sfXfv3sWrr74KHx8fODg4oGXLlvj666/L+jBshqebHPNGeuOTCT54oYeLYfmNe9nIVjNhQURERERERMbYguI/S5cuxZUrV8yu02q16N27N44cOYLBgwejS5cuuHDhAhYvXozTp0/jwIEDkMke5nrCwsLQoUMHJCUlYdKkSahVqxZ2796NUaNGITw8HPPmzSuvw7K6to0cDD/HJ2kxdVkUvNzkmPKaF5rWUVkxsspNykyClJkE6DTwvPUTnGRqa4dERERERESVHBMUAP7991/MmTMHixYtwqRJk0zWb9iwAUeOHMGECRPw+eefG5YHBgZi6tSp2LRpE4YMGWJYPnPmTDx48AA7duzA888/DwAYNWoU+vXrh4ULF2Lw4MGoXbt2mR+XrUlI0cLdRY67DzSYuCQK/bs4Y2R/dzjasyFPuRECDieWw/HEKkjaLABAtVOLsaa+DPGX1gP+MwDOvEJERERERFbAJ0PkJA+aNGmCCRMmmF2/ceNGADljLuQ2btw4ODg4GNYDOV1Btm/fjlq1ahmSE3qTJ0+GRqPBli1bLHwEFUOdanb4epYfXu3lCkkCdh1JxRsLInHycoa1Q7NZq5auwoKZC7Bg5gKsXrYaALB62WosmLkAq5auKnZ9DieWw+mPpcB/yQk9paRD1Ytr4XBiuSXCJiIiIiIiKrZK34Liq6++wtGjR3H27Fmjbhp6QgicOXMG/v7+qFmzptE6/dgSZ86cMSy7dOkSMjIyEBQUZFJXUFAQJEnC6dOnLX8gFYSdUsLI/u7o3sYRizfF48a9bMxcGYPXn3HFG33dAQAff/wxoqKiAABqdU7Xg08++QRKpRJVqlTBtGnTrBV+uYuNjkVkRKTJspKQMpPgeGIlBIC8bSQkCRAAHE+sQmbrIRD2biXaBxERERERUUlV6gRFREQE3nnnHUyZMgUtWrQwWyY+Ph7p6elo2rSp2fXVqlXDiRMnkJycDFdXV4SFhRmW56VSqeDt7W0ok5/o6GjExMQYLbt16xaAnAd2/UO7tWk0Gmi1Wmg0Gmg0GsOyosRXo4qEpZM8sfNIGjbtTUXbhkrDdg8ePEB4eLhReX3CQghhkeMvbryFCQkJMUmqfPzxx1AqlfD09sSLo1407LM4BPIfUFRAFKtOh39+haTNzne9BADaLCiu7kFGsxeKEaV5Wo3W8L2wOLUaLbRarWEbotLg9USWwmuJLInXU9Ho7xts5X7XFuW+BycqLa3Wtt6TKnWCIjg4GN7e3gUOWqmfpUOlMj+go729vaGcq6trkcrnN/OH3sqVK/H++++bXZeUlIS4uLgCty8vGo0GKSkpEEIgMTERAJCYmAgHB4eCN8zliRZAu/oKODukQH9YSan5v9lqtdoSH/+XX36J2NhYQ+wAsHjxYigUCnh7e2P06NElqhfISXY9ePDAaFl0dDQAQK1RIz0pHVJGwWM7ZGQBCSkSklIlJKYASakSEpJ0+ZZPS9fhwpUU+HoKONkXHqMiruDEmJ46NgzJCclFKluQ1ORUw/dkx4Lr02q1SE/NeV3I5fJS75sqN15PZCm8lsiSeD0VTXp2OuQZcmhVtvXQZEty34MrFJX6cY4sQP8cZysq7RX93Xff4aeffsKBAwcKfKB2dHQEAGRlZZldn5mZaVSuKOW9vb0LjG3cuHF44QXjT7Bv3bqFAQMGwM3NDV5eXgVuX140Gg0kSYKnp6chy+3u7l7s+HKXPns1C4mp+V+Ycrm8xMefkJBgkkTQJyxKU69++/xIMhnSdU5ISnJGYrJAfBKQkCKQkASMfF4Oe1VO4uKLr9S4ctu4xYR7ppTvuUhIkfDxtzmJMGdHoKq3hKpeEp57Qg4/n5w6tVoBuTznZ6WXaasec5Te1eDq4VqksgVJS0/Lic3VudD69J8mubq7Qq7gTRuVDq8nshReS2RJvJ6KRmQKuDm4wd3e3dqh2Kzc9+BMUFBpubu7WzsEI5Xyis7KysJbb72Fp556CoGBgYbuE3oZGRm4desWXFxc4OvrC0dHx3y7ZYSFhcHV1RWurjkPYPquHebKZ2VlITY2Fh06dCgwPl9fX/j6+ppdp1QqoVQqCz3G8iKXy6FQKAxvjgqFolTxNagpg5O9hKw08+slSSpx/VIBs1OUpt7UdB3UBbSwC48WmLPMHoBpoRd72cHZKWfsEz8fHeKTtfB0leDhJsHTVcLFgxJSE83X62gPuPlLeBArkJoO3LoncOuewPM97KBQ5NT59Y9ZOHNZi6reMtTy7Imp0kLIRZbJGBRAzhgUkKugadTbIv/s9DdfcoW8SPXJ5fIilyUqDK8nshReS2RJvJ4Kpz8/tnS/a4v09+A8T1Rattaiq1K+O2ZkZCAmJga//fYb6tWrZ7L+zz//RL169fDSSy/hu+++Q9u2bXH06FHcvXvXaKDMjIwMnD9/Hh07djQsa9asGezt7XHixAmTek+ePAkhBNq1a1c2B/YI8HSTw8dDgbB8EhR68UlanLicAV8POap4KuDjIYeDqmwmpRFCIClVB3eXhy/eVTsScPl2FsJjNEhO08E9QZPvi0kC4OEm4O0uh4drTuLB002Ch6sEV+eHqYLRg+xMtl3wZ/4JCi83GeZMdsjpYpMCRMbo8CBOwNfrYZ1xCQIpaUBKmg437zrD13Ek3nBeASGMZxPV/54WFMwBMomIiIiIyCoqZYLCyckJ27ZtM7vuhRdeQLNmzTB37lxUr14dADB48GAcPXoUISEh+Pzzzw1lV61ahYyMDAwePNiwzNHREQMHDsTmzZuxc+dOo6lGQ0JCoFAo8Morr5TRkVUeN8OyEbI53miZq5MMvh5y+HoqMPlVT3i65iQUwmPUsFNKBQw3mSM1Q4db97MRHqNBeIwGETFqRPz3c0aWwK+fVTMkQW6HZeNqaM6AkyqlBDuFBF0+XSWrVZFhwjtquNs7Ffs4vX0fdgdSa9SIjY6Ft683lAqlYZ0kSfBwBTxc5Whcx3j7maNUSEgWeBArEBkrEBn9Jn67J0O3tC9hh4fdkNRCju8yxyI2ZjSeTdTBy50zEBMRERERUfmqlAkKpVKJQYMG5bve19fXaP3w4cOxceNGfPHFF0hKSkKXLl1w4cIFrFy5Et26dcPrr79utP2iRYtw8OBBDB48GH/99Rdq1aqF3bt345dffsGcOXNQp06dvLukXKpUqWL4Wa1WIyoqCr6+VaBQKA3r3JxkeKq9E6ITNIhO0CImIaclQ3KaDrfC1Jg57GHzgM+2xOPc9Sx4JKhRUAOmS7eyMGtVjNl1Tg4S4pK0qOab8+A+rI87hjwr4O+tgJebHFOmKFDI5CwlEjwp2PBzRHgEFs5aiLETx8I/wL9I20tSTmsNTzf8l7xQAJiEZZ8JVI88AFd5NuIVvjgQ4Y0UpAD3PsLRX73Qpuco9OumRIAvExVERERERFQ+KmWCorjkcjn27NmD+fPn4/vvv8fWrVvh5+eHKVOmYO7cuSb9dmrUqIETJ05g5syZWLNmDVJTU1G/fn2sWbOmVDNFVBbTpk0z/Hz//n1MmTIF06a9a2jRAgANA1WYHvhwphSdTiAxRYeoBA1iE7VwtH/4YO3sKIOHiwwioeD9Vq+iQJPadvD3ViDAV4kAHwX8vRXw91HA1UlmNIZF0zrGs7SYS6pUqVLFMM2orQmLScWZ6MBcSzRQIOq/n4DDp7X4/YwWjzWRY8ATCtStYVt904iIiIiI6NHDBEUeQpjvCODs7IxPPvkEn3zySZHqqVWrFrZu3WrJ0KgAMpkETzc5PN1MH6TfG+UDAPjwo2qIiFBAqwWysjVISk6Bp4cLnB1zWmZU81Xii6lVS7R/c0mVd9/NSaokZCQgLsM2poYtCj9vCW0fU+D3MxqcvqyFkyNsIkGxYOYCs8vnLJpTzpEQEREREVFZYIKCKo0Z002TCHNmLTBqmUGAQi5h9CA7vPCUEnuOqdHtsYdvE5dvapGcJtC+mdwwfWl50+q0SE9Lh6OTI+Qy6ydOiIiIiIjIMpigICKzPFwlvPbsw5lFhBDYvEeN2/d1qOIloW9XBbo9poCd8mGiYtXSVYiNjgWQM6gnAKxettowqGfuMTWKS99SQj8Wx6Tpk4o8FgcREREREdk+JiioVBYtWgS5XA6NRgMA+OSTT6BUKrFkyRIrR0aWJgTQo70CqelqRMUJfL1TjW0H1Hj2cSWeClLA0UFCbHQsIiMijbbTJyyIiIiIiIgKwgQFWYRMJoOrqytkMs768KiSyST07KDAE+3kOHlRi92H1bgTLrBljxo//k+N6SNUhVdCRERERESUDyYoqFRmzpwJLy8vKJVKa4dCxeDt6w1Z4l0AQJazP2KjY+Ht623oilEQmUxCx5YKBLWQ4+INHXYdUiM0QodAfyaniIiIiIio5JigIKqEgicFw33t0wCAf56ej4WzFmLsxLHFGtNBkiS0aCBHiwZyJCYLONhbZ9BMIiIiIiJ6NPAjTyIqNXdXJieIiIiIiKh0mKAgonKh1Qlrh0BERERERDaMXTyIyGJyj1+h1qgRHZMCyN2hE0BUsieu3NKiSV25FSMkIiIiIiJbxQQFEVlM8KRgw88R4RFYOGsh3pw6Gj8c8sDVf3XIzLZicEREREREZNOYoCCiMuXhIjBvrAoXb+jQsuHD1hOZWQL2Ko5dQUREREREOTgGBRGVOZlMMkpOXA/V4s1FGTh5UWPFqIiIiIiIyJYwQUFE5e7YOS1S0oAlG7Px5fZsZKs5gCYRERERUWXHBAURlbsRzykxfIASCjlw8KQGc5ZrEBHD7h5ERERERJUZx6AgmzR58mQAgFqtBgB88sknUCqVWLJkiTXDIguRJAnPdFaiUS05lm7Kwv0ogQ832mFIXy2e6iiHJDFZQURERERU2TBBQTZNJpPB1dUVMlnlbeyzYOYCADnTdgLA6mWroVQoMWfRHGuGZRGBATJ8NMkea3dm4chfOny/X4ugFoCrs7UjIyIiIiKi8sYEBdkktpQwJZPJ4Ozi/Mgla+xVEsa8oEBd/1S4ezjC1bl8W0/oE0B60112AQB8fH0K3C5xxL6yComIiIiIqFJigoIqlbLsOpJf3XM+KF1Lh0ehpURRPNZYB1ePh8mXn39XQ60FBnRXQCYr+6SFVqdFelo64CyAXF1M5Il3c9a71yzzGIiIiIiIKjMmKKhSKsuuI+yWUnpxiTps2auGVgtcvqnF+Ffs4OlWNudTnwCKCI/AwlkLETP9F/gH+CPxv/Xua58GwBYTRERERERljQkKqlTKsutIfnUnZCSU2T4fVV7uMrw7TIUV32Xh8i0d3lmSifEvq9CqkdzaoRERERERURlhgoKoktC3BNDTd12o/8tghNSOgc8vg6FQKG2mpUCrRnIsnuKA5VuzEPrX11j1aRxcHCU42WsAPBws1NvXG8GTgq0cLRERERERlRYTFESVlGFMhf9mB7FFHq4SZo1SYdo/8UhLikJGCpCRkrMuNjrWusEREREREZFFMUFBVEnk1zJCP/bC7BGz4R/gX85RFU4mk+DqJCEtydqREBERERFRWWKCgqiS0k+vqf6vBYW+y0RlmTWEiIiIiIhsC6cZIKrkZDIZnF2cK+ysIwkpAlqtsHYYRERERERUSmxBQVRJPSotJVLTBT76Jgtvv66Co4Nk7XCIiIiIiKiEKuZHpkRE/5HJgAvXdZi9PBPRcTprh0NERERERCXEFhREZPO8fb0NP6s1asRGx8Lb1xtKhRIu7l64J0kIixKY8Xkm3hmmQsNacitGS0REREREJcEEBRFZVFkMvhk8Kdjws37WkbETxxpmHUnPEPhsUxYuXNdhyx413h8ngySxuwcRERERUUXCBAURlYnyHHzT0UHC9DdU2H5Ajac6KpmcICIiIiKqgJigICKLstbgm3K5hJeetjP8rtMJ7PlDgyc7KKCyY8KCiIiIiMjWcZBMInok7Tiowcaf1HhvZRYSkjkNKRERERGRrWOCgogeSUHN5fD1lHA7TIeZyzIRGs4ZPoiIiIiIbBkTFET0SKpWVYZFb9mjQaAMcUkCc1Zk4uwVjbXDIiIiIiKifHAMCiJ6ZLk6S5g7VoU127Jx9C8tFq/PxmvPCvTtqijSQJpSZhKkzCRAp4HqwnfIbvAMhL1bkfatn80kL2uN0UFEREREZOvYgoKIHmlKhYQ3X7bDy88oIQRw9ooW2sJ6ewgBhz+/gOeKIMjToiHPiIfL/lnwXBEEhz+/AETRx7TQ6rRISUmBVqct3YEQERERET3i2IKCiB55kiTh+R5K1KgqoX6gHAp5wa0nHE4sh9MfS2GShtBmwemPpQCAjI4TCqxD31IiIjwCC2ctxKTpk+Af4F/CIyAiIiIievQxQUFElUbbJg/f8nQ6gVkzVkKJOCjlEtQaNQBgw+fL8JHnTggJyJvGkAAIAI4nViGz9ZAid/cgIiIiIqLCMUFBRJXSr0c1iIuNhUIbZbS8ftY/UEr59wGRAECbBbvr+5DV4qWyDZKIiIiIqBKplGNQxMbG4o033kCLFi3g5eUFe3t71KpVCy+//DLOnTtnUl6j0eDjjz9GgwYNoFKp4O/vj+DgYMTFxZmtPy4uDsHBwfD394dKpUKDBg3wySefQKPhDAJEtuLJIAUcVKbL3RXZRdpelhZj4YiIiIiIiCq3StmCIjExEdeuXUPPnj1Rs2ZNODk5ITQ0FOvXr0f79u3xyy+/oFevXobyw4cPx6ZNm9CnTx9MnToVd+7cwdKlS/HHH3/g5MmTcHJyMpRNSUlBly5dcP36dYwbNw7NmzfH0aNHMW3aNFy9ehXr1q2zxiETUR72Kgle7hIepBsvT9TYFWl7nZNPGURFRERERFR5VcoERd26dfHnn3+aLA8ODkaNGjXw8ccfGxIUhw4dwqZNm9CvXz/s3r3bULZNmzYYNGgQQkJCMHfuXMPyxYsX459//kFISAgmT54MABg5ciTc3NywfPlyDB8+HF26dCnjIySiopBMRpkATiZXxfCq16CUdDA3E6kAALkK2Q2eLvP4iIiIiIgqk0rZxSM/VapUgYODAxITEw3LNm7cCACGZIPewIEDERgYaFifu7yjoyOCg4ONlk+ZMsWoPiKyTWk6JX6MrQ1JgsksHgI5Y1CkBwVzgEwiIiIiIgur1AkKtVqN2NhYPHjwAKdPn8arr76K1NRU9OnTx1Dm1KlTkMlk6NChg8n2QUFBuH37NuLj4wEAUVFRuHv3Llq2bAkHBwejsoGBgfDz88Pp06fL9qCIqNR2xNbGrxmtAHmeQSrkKqR1noSMoPHWCYyIiIiI6BFWKbt46B0/fhzdu3c3/O7m5oZp06YZddkICwuDt7c3VCrT0fSqVatmKOPp6YmwsDCj5ebK37p1q9C4oqOjERNjPACffju1Wg21Wl1oHeVBo9FAq9Vy8M9CaDQaaDU8TwXRarTQarXQarRFKqv/Xtpz6uXjBfFfOwmNWoPYmFh4+3hDoVTgrEsz/K5ajjkZA+Co0iKt82Rk1nsqp+WEtvA4yyJeKpriXE9EBeG1RJbE66lo9P8vbeV+1xbxHpwsSVuM+9ryUKkTFC1atMCBAweQlZWFGzdu4Ntvv0VKSgqysrKgUOScmvT0dHh4eJjd3t7e3lAm93dzyQx9eX2ZgqxcuRLvv/++2XVJSUn5zh5S3jQaDVJSUiCEMJwvMpWalYr07HRIGWYGNCAAOW+M6ak5rw25XF5g2dTkVMP3ZMfkUu335ddfNvwc9SAKX4R8gVeGvIIqVavgXpSETzfbId7FFclagVCnp+GbIYCM4u3TkvFS0RTneiIqCK8lsiReT0WTnp0OeYYcWpVtPTTZEt6DkyXlHt7AFlTqK9rDwwM9e/YEADz77LMYNmwYWrRogX///Rd79+4FADg6OiIrK8vs9pmZmYYyub8XVF5fpiDjxo3DCy+8YLTs1q1bGDBgANzc3ODl5VWEoyt7Go0GkiTB09OTb44FkGfKoc3QwtXe1dqh2Cz9p0mu7q6QK8zftC2auwhATksHANi6cSsUSgVmzp9pkRjS0tMAAM6uznD1cEVTD2DheB0UmwCNVsJHG1UIflGBNo2L1zMub72lpT8PeVnqPDwKinI9ERUFryWyJF5PRSMyBdwc3OBu727tUGwW78HJktzd3a0dghFe0bl4eHigX79+WLFiBUJDQxEYGIhq1arhxo0byMrKMmkZkbdLR+4uH+aEhYXl2/0jN19fX/j6+ppdp1QqoVQqi3xMZU0ul0OhUNhUTLZGoVFArpDzH0gh5HJ5gedJP+OGTC6Ds4szZHIZJEgWO6/6m8XcMQQGAK5eEhKSBNLjgZCNGgx4QoGXn1ZCJitaixhz9ZaG/jxodVqkp6XD0ckRchmvr7wKu56IiorXElkSr6fC6c8P7y0LxntwshRba9HFd8c8MjIyAAAJCQkIDAxEu3btcO3aNZw6dcpketATJ06gTp068PT0BJAzC0iNGjVw/vx5ZGRkGA2UeffuXURGRqJ3797ldzBEj5A5i+ZYZb8ySYKXO/B6ayU271Fj1yEN/Lxl6N7OOm+f+vMQER6BhbMWYtL0SfAP8LdI3QtmLihwn0REREREZalSJiiioqJQpUoVk+WhoaHYtWsX3Nzc0KhRIwDA4MGDsXHjRoSEhBglKHbu3InQ0FC89957RnUMHjwYH3zwAVatWmU0NWlISIhhPRFVNBL6dVeidnUZfj+jQde2tpVptrS8rTMqGyZqiIiIiKyjUiYoPvzwQxw4cAC9e/dGYGAgJEnC1atXsXHjRqSmpmLDhg2GATB79uyJV155BVu3bkXfvn3Rv39/3LlzB5999hkaN26MKVOmGNX97rvvYvv27Xj33XcRGhqKFi1a4MiRI/j2228xePBgdO3a1RqHTEQW0LSuHE3rPnxgT0gW+PuqFt3bySFJFX8Q1LJsnVEW8kskzJg/wyL1V/ZEDREREVF5q5QJij59+iA8PBzbt29HdHQ0NBoN/Pz80KdPH0ycOBHt2rUzKr9hwwY0a9YM69atw5tvvglPT09DSwlnZ2ejsq6urjh27Bhmz56Nbdu2Yc2aNahZsyY+/PBDTJ06tTwPk4jKkE4n8Nm3Wbh2R4d//pVj1EA7qOwqfpKiIrJ0IqGiJWqIiIiIHhWVMkHRs2dPw+wdRaFUKjFjxgzMmFG0T+V8fHywZs0arFmzpqQhEpGNk8kkPBmkwJ2wbBz9S4u7EZmYMlSFqt7Fm+WDSi6/RALnhSciIiKqmCplgoKIyBIeb61ATT8ZPt2QhbuRAtOXZmLCqyq0aczuALlxTAciIiIiKgomKIiISqGGnwwfTbTHiu+zceayFh9/k4VBTyrwYi87a4dmcyr7mA5M1BAREREVjAkKIqJScnSQMHWoHXYf1mDrXjUuH/0a14/EAQDUGjUAYPWy1VAqlPD29UbwpGBrhlvuOKaDMUsnapj4ICIiokcFExRERBYgSRIGPKFE8/pybFoZi8iIB0brY6NjrRQZ2YqyTtRU9hYqREREVPExQUFEZEG1q8kgofLM5uG+9ukilUscsa+MI6m82EKFiIiIHhUcbp6IiCxGnngX8sS71g6DiIiIiCogtqAgIipHCSkCKWkCLk6PRiuLvC0j9C0q2GKCiIiIiIqLCQoionKUmi7w1kcZCH7JDu2a8i2YiIgo92C/WqGFXJJDLpNjyZIlVoyKiKyBd8dERLnU/2UwFAql4Xd9d4W8Yy2UtIWAvR2QlAn4erCHHRERUW5anRZpqWlwdnbmYL9ElRQTFEREBdC61yz2Nt6+3oaf1Ro1YqNj4e3rbZhmdPIL9ggMeJig+PF/anRsKUcVLyYtyHZw+lIiKi95B/udOmMqmtRrYuWoiMgamKAgIsrlRp9vSz0DQvCkYMPP+putsRPHmq333FUttu5VY/sBNfp0VeC5J5SwVz0a41NUdvnNcOKsUSOkdgx8/mutY+vjdXD6UiIiIiovTFAQUaWm/5RYrVEDAFYvWw2lQllunxIH+kvo0kaOo39p8eP/NPj9jBav91Gicys5JImJikeJvruQxrliTAHK6UuJiIiovDFBQUQEQCaTwdnFGTJZ+Xaz8HSTYfwrKjwVpMW6XWrcDtPhiy3Z2H9chuEDlKhTnZ9YV1T5zXBy4+lvsHDWQsweMZsP/ERERES5MEFBRJWarfSnrx8oxwdvyXDkrBZb9mbjxl0dTl7UMkFBRERERJUGExRERDZCJpPQvZ0C7ZvL8csRNfp2fTibSNgDHap6S1Ao2O2DiIiIiB5NTFAQEdkYR3sJL/ayM/yemSWw4MssKKLXwk0VDweVZDJmhrevt9HgnEREREREFQ0TFERENi4uScBBBaRnxCExNQqJudbFRsdaKywiIiIiIosq39HgiIio2AJ8Zfh0ij3cXdi9g4iIiIgeXWxBQURUASgUElwcJaQmlk39q5auMrTGKGn3ESkzCVJmEqDTQHXhO2Q3eAbC3q1sAqYKSz+1b162MmAtERERWQ8TFEREj4gbd7X4ekc2OrRQIKi5HH4+RW8kFxsdi8iISJNlRSIEHE4sh+OJVZC0WQAAl/2zIA7OR3pQMDKCxgMSW3+QMa1Oi/S0dDg6OUIu42w1RGWJiUEiqiiYoCAiekScvqRFaIRAaIQa3+1Vo6afZEhW+PuWXY8+hxPL4fTHUoi8K7RZcPpjKQAgo+OEMts/VSz6B6KI8AgsnLUQk6ZPgn+Av5WjIqocmBgkIlvHBAUR0SPixV5KNKwlw8mLWpy5osXdSIG7kWp8v0+N5vVlmD3a3uL7lDKT4HhiJQSAvG0kJAACgOOJVchsPcTi+yYispaK1iKBiUEiqiiYoCAiqiC8fb0NP6s1asRGx8Lb19swToSdUkLbJgq0baKAWiNw6YYOJy5qcOayFlW9H7agSE0X2PuHBkHN5ahWtXQtK+yu74Wkzc53vQQA2izYXd8HeD9eqn0REdkatkggIrIsJiiIiCqI3ANV6j8FGztxrNlPwZQKCa0by9G6sRwajUBmrhzCmctabPtNjW2/qVGtioQOzeVQa0w6aBSJLC2m6OW8Cy9XVAUN6unl44WXX3/ZcjuzgNwDiHre+glOMrW1QyKiUmCLBCKissEEBRHRI06hkOCc692+elUJ3dvJcfqSFmFRAtsPaOCeIEr0D0Hn5FOkcj/9dgrH0qMBFH92EHMKGtRTmI6GUWSWmM3EiJkBRKudWow19WWIv7Qe8J/BAUSJiIiI/sMEBRFRJVO3hhx1a8gxaqDA5Vs6nLygwd+HvaDJBlRKwMNVi9joWHh5eyMxVY7kbE9s2ZMNb3cJ3u4yeHtI8HaX4Ogg5UwlenA+oM0yGYMCAIQA1EKG3+7ZI02X8+Bf5NlBrKBUs5mYkd8AokpJh6oX1yLN1YUDiBIRERH9hwkKIqJKSiGX0LKBHC0byKEZ+Cb+ua2DTAI8HaOwcNZC9H3tTXy62QUAcPeQxmT7OWNUaFbPDelBwYaH8NxJCoGcxgE/xtRGmk5ZLsdkSwocQFQyHkBU2LtZIUIiIiIi28IEBRERQSGX0Lx+zgBvEeE5y3zctXgvWIWYBIHYRIHYBN1/33O+vNxzHrszgsbj1EUtOiV9CZWUZagzW6jwY3wj7Iz1NbvP5DSB7QfUkKSHD/Dtm8sR8N+UqDdCtbh6R5ez7r8CEnIe7lMz8u/GkZYhcPyCHI7OWigUQA0/GWoF5NSZmCJwPVQLmZRTj0ySIJP997MMEKLk3UPyKs4AolktXrLYfomIiIgqKiYoiIjILJUdUCvA/Kj0Rg/ykoTMTuOx9vZreP1WX0CnxSb1W9if1BPyuC+hQJTZOpJSBX7YbzxYZEAVyZCguHRLh+/3mR9M0jNVIL/5RxKSgW/3KQFoAWjxXA8FagXYAQBCw3UI2ZB/0qBRAYPwP4jT4cOvM+HlLkP9mjJ0eyznX6gQAmoNYKc0bidRrAFEiYiIiIgJCiKisrBg5gIApgMt6kd+r+ikPAM7tmumQLtmPnBc6w4AeHHEYDyvEVgwS0KM+fwEXJ0kPNFDYRifQQjA3+dh2qF+TRn6dn24HiKnW4QQwOX/SUjPZyIMJwegcTMNFEo7QJJQy/9hna7OEh5rKocQgE4ncr4LQKfLqVcXmv8xqzXA39d0AHRITpUbEhQJyQJjF2TC1Qnwcpfg5S6Dt7uEjmpPdM6/OoOiDjRKhdO/7vJ6VF53RLaGrzkisjQmKIiIypBMJoOzizNksvw+7390KRQSFPL8Z6hwc5bw8jN2+a5vVk+OZvXMN2lYdccHsdE5das1asRGx8Lb1/vhNKO9NXD1cIRCYfxvrnY1Gd4Zpsp3nwtm5h9vFS8Jo4faITZRwNv9YbmkVEAuA5LTcrqt3AnXAgD+kJ7AY94fwE7KZwBRAEKuQnaDp/PdJ5WMVqdFelo6HJ0cIZcV0CyGiCyCrzkishQmKIiIygA/Pcrh7ett+DlvIiH3uuLKPd1nRHgEFs5aiLETx8I/wB8ajQbJCcllEm/bJqb/NmsFyLD5IwckpgjEJeZ8xSYJxCZ44WjYaDyZ9oXpAKIiZ9yL76IaYfc736J1j9Fo21huGAeESkb/utNfE5OmT4J/gL+VoyJrqYif7le0mPmaIyJLK1WCQi4v/Y3UvHnzMHfu3FLXQ0REtqegRIItKmm8MpkETzcJnm5AvZq5VoiJSDshh92xL6CUtIbFaiHDjzG18WOsLzTyOOz7Q4PkVGFIUGRmCdy+r0P9QBmUivxbdRA9Csr6obwifrpfEWMmIrKEUiUohBCoWbMmAgMDS7Tt0aNHS7N7IiIi2yZJyOg4AQt+jUJg2kW4K7KQqFHhVHIVw9Srvp4SevZUoG71hw8hl29p8cm6bNgpgUa1ZYbuLjX9JMhkTFjQo8nSD+UV8dP9ihgzEZEllbqLx/Dhw0vcAqIy9skmIqLKJ0OocCixmtl1KqWEF3sZj8Wh0wE1/CTcixS4cF2HC9d1ANRwcQSa1pNjwqt2UMglrFq6CrHRsQBMB2T19vU2ahFCJbdo7iJIZkYSsdVm9xUNH8qJiEiPY1AQERHZmJxZURRITBa4fEuLize1uHRTh7hEgbAonWHw0djoWERGRBptq09YkOVV9mb3FW18BCIiqnhKlaCIiYmBo6Oj1bYnIiJ6lLm7SujcWoHOrRUQQuBBrEBSqmHiVWi0ooCtyVJmzp8JhULBT/j/U9kTNUREVHZKlaDw8vIq1c5Luz0REVFlIUkS/Hwk+PnkXpZ/+fhkHZJSBNxcOGYFWQa7YhARUVljFw8iIqIy5u3rDVniXQBAlrO/xaZblRcwYGZGJqDKNbSFTic4wCYRERHZNCYoiIiIyljwpGC4r30aAPDP0/PLZbpVDzcJ9qqchERWtsDbn2SidSM5egYpEOjPQaqJiIjI9pQ4QZGYmIjjx4/Dw8MDQUFBkHK1M01LS0NISEiJZ/coazdv3sTmzZtx4MAB3L59GykpKahZsyZ69uyJGTNmwM/Pz6i8RqNBSEgIvvnmG4SGhsLLywv9+/fHwoULzXZTiYuLw+zZs7F7927ExcUhMDAQI0aMwOTJk6FQMCdERERlz1H18P/ypZtaxCYK/HZCg99OaFCvhgw9OyjQsaUcKju2qrCWshp0koNZEhFRRVWip+UrV66gZ8+eiImJgU6nQ+vWrbFjxw7UrFkTAJCamor333/fZhMUa9euxfLly9G3b1+8+OKLcHBwwMmTJ7Fy5Ups2rQJf/75Jxo2bGgoP3z4cGzatAl9+vTB1KlTcefOHSxduhR//PEHTp48CScnJ0PZlJQUdOnSBdevX8e4cePQvHlzHD16FNOmTcPVq1exbt06axwyEVGZ0LcK0JP/140h7/LEEfvKLabKJHf3ELVGnW/XkbZNFPh0igwHT2lw9KwGN+/pcPNeNjb8BHRpo8DgvkooFdZNVOS9ZvLzKF5LZTXoJAezJCKiiqZECYoZM2YgKCgI3377LZKTkzFx4kR06tQJhw8fRr169Swdo8UNGjQI06dPh7u7u2HZ6NGj0aFDB4wZMwZz587FDz/8AAA4dOgQNm3ahH79+mH37t2G8m3atMGgQYNMWoosXrwY//zzD0JCQjB58mQAwMiRI+Hm5obly5dj+PDh6NKlS/kcKBE9cvSfjKo1agDA6mWroVQobeaTUa17TWuHUKkETwo2/KwfuDC/riM1/GR4Y4AdXuutxJ/ntTh4MidRcT1UC6Xi4WAVGo2AwsrJCuBhsutRvqbKatBJDmZJREQVVYkSFCdPnsThw4fh5OQEJycn/PDDD5g8eTK6deuGw4cPw83NzdJxWlTbtm3NLn/55ZcxZswYXLx40bBs48aNAGBINugNHDgQgYGB2Lhxo1GCYuPGjXB0dERwcLBR+SlTpmD58uXYuHEjExREVGoymQzOLs6Qyaw7lsCj+Gn2o05lJ6F7OwW6t1MgNEKHzKyHU5WGRekwd0Umqmavg0LEQSmXTJJh3r7eRokRS8l7LelbVPAaIyIiqjxKlKDIysoyGnMCAJYsWQIhBLp164YtW7ZYJLjyFh4eDgCoUqWKYdmpU6cgk8nQoUMHk/JBQUHYunUr4uPj4enpiaioKNy9excdO3aEg4ODUdnAwED4+fnh9OnThcYRHR2NmJgYo2W3bt0CAKjVaqjV6mIfW1nQaDTQarXQaDTWDsWmaTQaaDU8TwXRarTQarXQarTWDsXmzZg/w+xyS15f+r+Dpa/b8qrXUtdTaeP12vCs0e/yxHsAgHo/D0ZI7Rh4/zwYCqUCcUN/LVWceiWJt5pvznd9+TOXtUhNB2ITYqHQRhmVjY2OBQAICIv8/QqLV0AYxWbJuotTT+5rqaK/Nliv5f8XF6fu4rw3VbRzYcnXHABotBqbud+1RbwHJ0vSam3r/rtECYoGDRrg7NmzaNy4sdHyzz77DDqdDv3797dIcOVtzpycJpHDhw83LAsLC4O3tzdUKpVJ+WrVqhnKeHp6IiwszGi5ufL6RENBVq5ciffff9/suqSkJMTFxRVaR3nQaDRISUmBEIKDfxYgNSsV6dnpkDKs32TaVmm1WqSnpgMA5HL2k7a21ORUw/dkx+QKV6+lrqfSxuuR5x9+tksAAED33w24TqeDTqtFcoJlzoUlzm/X5kCgj4QNawSy08yX0Wl1Fom5sHj1568k+7LUtZb3Wqrorw3Wa9l6i1t3cd6bKtq5sFS9hnqSUm3mftcW8R6cLCkxMdHaIRgp0RX93HPPYevWrRgyZIjJumXLlkGj0WDVqlWlDq48LVq0CDt27MCAAQMwdOhQw/L09HR4eHiY3cbe3t5QJvd3c8kMfXl9mYKMGzcOL7zwgtGyW7duYcCAAXBzczM7c4g1aDQaSJIET09PvjkWQJ4phzZDC1d7V2uHYrP0n5i4urtCrmCCwloWzV0EANCocz6R2bpxKxRKBWbOn2mR+tPSc554nV2d4ephuddD3notdT2VNt6EN8x3TYgMj8SH8z7EjKEz4BfgB0udCUud32YegKebDA/ySVDI5DKL/P0Ki1f23wNcSfZlqXOR91oqr2uY9VaMeotbd3HemyraubBUvYZ63Jxt5n7XFvEenCwp97iMtqDEg2TOmGG+mTEArFixAitWrMh3/dWrV9GoUaOS7LpMLFu2DLNmzUK3bt2wefNmo+4rjo6OyMrKMrtdZmamoUzu7wWV15cpiK+vL3x9fc2uUyqVUCqVhdZRXuRyORQKhU3FZGsUGgXkCjn/gRRCLpfzPFmZhJz3Ppn8v/Et5DJIkCz2N9HfkFv672yuXktcT+UZr63Vq78W8lt36aaEy7e06NtVCXfXkrUOKyxefQwlORZLnovc11JF+Nux3vKrtyR1F/W9qaKdC0vVq69HIee9ZWF4D06WYmutl0v9zjR79mwsXLiwyOVv3bqFnj17GsZ7sLYlS5ZgypQp6NGjB3766SeTBEK1atVw48YNZGVlmbSMyNulI3eXD3PCwsLy7f5BRGRttjITCNk2AYFtv6lx674O+45r0KO9Av26KeDtYd0BW4mIiKjiK/XdxKJFi4rcnePevXvo0aMHHjx4UNrdWsTHH3+MKVOm4Omnn8Yvv/xitnVDu3btoNPpcOrUKZN1J06cQJ06deDp6QkgZ3DNGjVq4Pz588jIyDAqe/fuXURGRqJdu3ZlczBERETlQIKEkQPt0K6pHGoNsO+4BhM+ysTqbVl4EKuzdnhERERUgZU6QVGrVi289dZb2LlzZ4HlwsPD0b17d9y/fx8zZ1qmP3NpLFq0CNOnT0efPn2wa9cuw3gSeQ0ePBgAEBISYrR8586dCA0NNazPXT49Pd0kaaPfPm95IiIiW+Pt6w0/fz/4+fvB29fbaJm3rzdqV5Nh6jAVPp1ij06t5NDpgEOntJj4cSbOXin9qPJSZlLOV3ocVBe+g5SZVOo6iYiIyPaVuovH/v370alTJ7z22mvYv38/unTpYlImOjoaPXr0wJ07d/D2229jwYIFpd1tqaxYsQKzZs1ClSpV8Pzzz2Pbtm1G652dnTFgwAAAQM+ePfHKK69g69at6Nu3L/r37487d+7gs88+Q+PGjTFlyhSjbd99911s374d7777LkJDQ9GiRQscOXIE3377LQYPHoyuXbuW12ESERGVSPCkYMPPEeERWDhrIcZOHAv/AH+jcjX8ZJj4mgovPKXDrkNq/H1Vi8Z1HvZlTU0XcHYsxhgVQsDhxHI4nlgFSZsznpPL/lkQB+cjPSgYGUHjAYkzIhERET2qSp2gqFu3Lvbs2YNu3bphwIABOHLkCJo1a2ZYHx8fj549e+LGjRsYO3asSUsEazhz5gwAICoqCm+88YbJ+po1axoSFACwYcMGNGvWDOvWrcObb74JT09PDB48GB988AGcnZ2NtnV1dcWxY8cwe/ZsbNu2DWvWrEHNmjXx4YcfYurUqWV6XERERNbg7yPDuJdUyMwSsFflJBCysgXe/iQDtavJMLCnEvUDCx+Ey+HEcjj9sRQi7wptFpz+WAoAyOg4wbLBExERkc2wyIhWbdq0wc6dO5Geno5nnnkG9+7dAwAkJSXhySefxOXLlzF06FCsXLnSErsrtfXr10MIke9XaGioUXmlUokZM2YYBsuMjIzEmjVr4O3tbbZ+Hx8frFmzBpGRkcjKysKNGzcwffp0zk5ARESPNH1yAgD+DdMhMwv4+5oOs5dnYf7qTFy+pYUQJukHADndOhxPrIQATOYQkQAIIKdlBbt7EBERPbIs9sT85JNPYt26dXj99dfRq1cv7N27F6+88gr+/vtvvPTSS/jmm28stSsiIqpAFszM6dan1qgBAKuXrYZSoeSsIY+4RrXlWDHbAXuOqrH3uAaXb+lw99wqOMri4OIkQSHPGatCfz086RWBPtrsfOuTAECbBbvr+5DV4qXyOQgiIiIqVxb9SP+VV15BdHQ03n77bTRs2BDZ2dno168fNm3aBIl9RomIKjWZTAZnF2fIZJaZjjK/xMeM+TMsUj+VnquThJefsUPfbkrsP67Bb9/HQZsZhcTMh2Vio2MBAJIqBnAovE5ZWkwZRUtERETWZvE+BxMnTsSDBw/w8ccf4+mnn8a2bdsglxfe75SIiB5NZd1SwtKJD7I8JwcJz/dU4tL/JERFmi+TLMzPppWXzsnHgpERERGRLSl1giK/5IMkSdi/f7/Z6TslSYJGU/ppyIiIqPLKL/HB/y+2S1ZAa8rfHtTAi3XPQabLMhmDAsgZgwJyFbIbPF1W4REREZGVlfrjpoIGm8zvS6fTWSJ2IiIiekQkqVXYkDzSMCBmbvqBM9ODgiHs3co/OCIiIioXpW5BwWQDERE9Sjiop3V4ukk47DwWSAVec/oaKinr4Uq5CmlBwcgIGm+9AImIiKjMscMuERGRGRzbonw52UsImeoAn4FvYbL8EGK1PlCrPJHSaxHi3zyBjI4TAA64TURE9Eiz+CCZREREFRlbSpQdb19vw89qjRqx0bHw9vWGUqGEt683ZDIJQS0U6NC8ChzXuEFSSoYpRT9dn4Wa/jI801kBZ0cmKoiIiB5FFk1Q9OzZE23btkWrVq3Qpk0b1K1b16TM6dOnUaNGDVStWtWSuyYiIiIbFzwp2PBzRHgEFs5aiLETx8I/wN+onCRJsFM+TELcCdfh9GUtTl/W4pcjavTqpECfLkq4OjNRQURE9CixaILi0KFDOHToEKT/mmC6uLigVatWaN26Ndq0aYNmzZrhk08+wf3793Hq1ClL7pqIiIgeUbUCZHgvWIUdB9W4dFOHXYc02HtMg55BCvTtqoCnG7vhEBERPQosmqBITEzEuXPn8Ndffxm+jh49iiNHjhiSFkIIODk5WXK3RERE9IhrXEeOxnXkuHFXi50H1Th3VYdfj2pw9C8NVs9xgFLB1hREREQVnUUTFK6urujWrRu6detmWJacnIzjx49j69at2Lx5M6pWrYp33nnHkrslIiKiSqJ+TTmmj5DjTrgOOw+q4ecjGZITao1AXGLeSUqJiIiooijzQTJdXV3xzDPP4JlnnkGfPn0watQodO3atax3S0RERBWI+9qnjX6XJ941uzxxxD4AOd0+pgxVQYiHCYkjZ7X4akc22jRwhEZuPK4FERER2b5yncXjxRdfxIoVKzBt2jQcOHCgPHdNRERkVQtmLgCQM3sFAKxethpKhZKzhuRD616zSOX0XUhXLV2F2//GwD1N4NaJnHWL5n8JFycZqlf3wbi3gwuohYiIiGxBuU8z2qJFC6xbt668d0tERGQTZDIZnF2cIZNxYMfc9C0jSio2OhbpyQ8gz7VMpwWSsoDEFIH/ndKgR3vOrk5ERGTLLPqfev369WjTpg2aNGmS741XXFwcHBwcLLlbIiIim8eWEtaj1QHKXHc8mVkCdkpAJqs4A2vm7eqSn9ImeoiIiKzJogmKN954A5Ikwd7eHs2bN0ebNm0MXwEBATh27Bh+/PFHjB8/3pK7JSIiIsqXr6eEDs0ftq3Y9Isal25p8VSQAt0eU8DJoeIkKvT0Y3QUtSsMERFRRWDRBMWyZctw7tw5w1Sjp06dMvQN1atSpQpq166Ns2fPolmzZlCpVJYMgYiIqFLh2BaFUykl2Clz7kd0OoErt7WIjBHY8JMaW/eq0bm1HE93VCIwwHa73eRtGaFvUcEWE0RE9CixaIJiwoQJhp+zsrJw8eJFQ8Li3LlzuHTpEh48eIA333wTACCXy9GwYUO0atUKGzZssGQoRERElQrHtigamUzCp1Ps8ddVLfYf1+DSTR0OndLi0Ckt6teUYUg/JerXlBdeEREREVlcmY0WpVKp8Nhjj+Gxxx4zLNNoNLh8+bJRK4tLly7hypUrTFAQERGVAFtKFJ9cLqFdUwXaNVUgIlqH305o8PsZDW7c1RlaWgCARisKqIWIiIgsrVyHs1YoFGjZsiVatmyJN954AwCg0+lw7dq18gyDiIiIHjHevt6Gn9UaNWKjY+Ht6w2lQmm0Li9/XxmG9bfDy08rceGGFoH+D1ugLPpKg5Tbm+EgS4C9KueDFuBhNxpvX28ET+L0pURERJZSqgRF48aNMX78eIwbN67E20+YMAHBwfznTkRERCWXO1EQER6BhbMWYuzEsfAP8C/S9vYqCe2bPbwtik3U4eZ9AZfkeGRpo4zKxkbHWiboEpIykyBlJgE6DVQXvkN2g2cg7N2sGhMREZEllKqj6rVr1xAbW/J/0teuXUNMTExpQiAiIiKyOG93GZZPV8LF0Ya6eQgBhz+/gOeKIMjToiHPiIfL/lnwXBEEhz+/AIQNxUpERFQCpe7i8fvvv5d427wzfBARERHZCjcXCS6OQEZKweWO/qWBr6eE+jVlkMnK7t7G4cRyOP2xFCZpCG0WnP5YCgDI6Dgh79pKQz+zSV7OGjVCasfA55fBUCiUnPmEiMiGWSRBUZokBREREVFFpdYIrN2ZjYwswMUJaNNIjrZN5GheXw57leWSFVJmEhxPrIQAkLdWCYAA4HhiFTJbD2F3j//IE+8CADTORevmQ0RE1leqBMXhw4dLHUBgYGCp6yAiIiKyhqxsoEd7Bc5c0SIqTuD3s1r8flYLpQJoVk+Gl5+2Q2BA6ad+tbu+F5I2O9/1EgBos2B3fR+yWrxU6v1VRHlbRuhbVNx4+hssnLUQs0fMLvKYJEREZB2lSlB07drVUnEQERERVTjOjhKG9LPD4L4C4VECZ65ocfYfLW7d0+HcVR1e7/Ow7NV/tXBykFC9qlTsbq6ytKKN2VXUckRERLaoXKcZJSIiIqpIPL08IZPLIEEqcPpSSZJQraqEalVleK6HEonJApduaRHg+zARsX53Nu6EC/h6SmjbJKcrSMNaRWtdoXPysWi5R13umU48b/0EJ5na2iEREVERMEFBRERElI/Xh78OVw9XKBSKYk1f6u4q4fHWD2+ztFqBwAAZ4hK1iI4X2HNMgz3HNHByABrWdIRGHlBgfdkNnoE4OB/QZpmMQQHkjEEBuQrZDcwPFFlpCAGHE8vheGIVJG0WAKDaqcVYU1+G+EvrAf8ZAAdpJyKyWUxQEBERkYkFMxcAANSanE+eVy9bDaVCiTmL5lgzrApLLpcQ/KIKOp3Ajbs6fPvlaiTGxUKdANyOAGS6RMM5ltl7waPBCNQKkKFWgAw1/WRwsHdDelCwYRaP3I/Y+t/TgoIr/QCZ+c10opR0qHpxLdJcXSr1TCdERLaOCQoiIiLKl0wmg7OLM2Sy0g/0SIBMJqFhLTnspXiI7CijG7HY6JxP/FXOOlxI1uL3M1oAOR/4V/WSEOg/Ci/W0KF5+Brgv9YBAAC5CmlBwcgIGl+OR2J7CpzpRLLcTCerlq5CbHQsANMEnrevN4InBZe4biKiyo4JCiIiIjLBlhLW4+wo4Y1+StyJ0CE0XId7DwQiY3O+0uuPwew3h+XMUKHTYIdsIpJq9oK/iwdqxQv4eKLYA3AWRUV4KC+vmU5io2MRGRFpsoyIiEqPCQoiIiIiG2KnkPB0Z6Xhd41GICxK4E64Di5OgLC3h7B3Q7ZaYPWt54E7AJDzYO6R+g3spDjYKSTY22kA5CQSFAoFfHx9SpxIKKuHcksmPjjTCRFRxccEBREREZENUygkBAZICAyQ5VkOTHrdDqEROtwJz2ltIRLioNVGIQNAxn/l9AmAyBiBmcsy4eEmwdNVgqdbzleAr4S6NeTle1C5YrNU4oMznRARVXxlmqAYO3YstmzZAn9/f3Tq1AnPP/88nnnmGaN+rFu2bEGnTp1Qs2bNsgyFiIiIqMJyX2s8O4c88S7kAHr/1SdngQxAdYFJmZ0Q/cB8HVodcOu+DrhvvLxdMzmmDs1JUMQn6fD+6ixDAsPjv+/pWXmHnbQ9nOmEiKjiK9MERXp6Ot566y0888wzOHv2LJYsWYJx48ZhypQpGD16NOzt7dGqVSuMGDECBw8eLMtQiIiIiB4ZWndzH+xIkMvyH3/Cz1vClGAV4pMEEpIF4pNyvurVfPjBUVyiQGRMzldu7oki35vGmAQdlmzMgqMD4GQvwclBgq+XhM6tHm5x/4EOTg6Ao70ElV3ZjJMhCprpROQMlPlramOcW73FJsbMsKb6vwyGQqEstFziiH3lEA0R0UNlmqD47LPPMGfOHAwYMAANGjRAhw4d8Nhjj2H16tUICQnBRx99BDs7O0RERJRlGEREREQ2xdvX2/CzWqNGbHQsvH29DWMv5FXkB8X/poc1RyGX0CCw4K4cgQEyhEy1N0pgxCcJXPofoE43v01mNnDyotZoWYNAmSFBka0WmPJppmGdXA442QNODhK08bp8Y0nPFLhwXQsnh5yBQ50cJLg4FZzY0M9kYnfsCyilhzGphQw/xtTGjlgf+PlzQMu85Il3AeSX+CIiKj9lmqDw8vLCypUr8fnnn+PkyZM4duwYzp49CwcHByQnJ2PGjBm4f/8+Nm3aVJZhEBEREdmU3J/gR4RHYOGshRg7cSz8A/ytGBWgVEioXlVC9arGyxf8JUNkPgkKHw8Jw163Q3omkJYhkJYh4On2MJGQrQYCfCWkZwKp6QJqDZCcBiSnCbir878ZjUsS+OCrh9OpquyAbxc5Gn5fvD4L6RkCTg4SnBxzEh7ODhKcHMbiXPwD1Mu6BHdFFhI1KpxKroI0XeEtBoqiuMklW3Sjz7dG15q+CxFbTBCRtZXLIJkKhQKdO3dG586dTdb98ssv2LhxI1555ZXyCIWIiIiIiqmwh/KOLfO/pXR2lPDZuw6G37PVAumZQHqGwMrFEuLzmVTD0R6oXk+G1HSBtIycBEVu1+9okZxmftsa2SrcT65mdl10vA4hG7Lg4Zozxkavjgo4OkiG2JSKgrug2GpyqaSkzCRImUmATgPVhe9yxvKwd7N2WERUSVk0QXH37l2cPHkSiYmJ8PLyQoMGDdCsWbMCt+nTpw969+5tyTCK5KOPPsLff/+Nc+fO4fbt25DJZNBoNPmW12g0CAkJwTfffIPQ0FB4eXmhf//+WLhwIby8vEzKx8XFYfbs2di9ezfi4uIQGBiIESNGYPLkyVAoOHkKERERWV5ZfbpvyYdyO6UEOyXg7iIhIMAHKqWUb7zBY+zzrWfWaHukpAmkZwikZjxsvZGaDoSeAPJp8IEsNXDq0sPuH091fHhftnhdFv75VwdPNwnuLg8HCfVwlVCnmgxN6+V0kRHC9gcN1ct/KlcFnvO6ha44C0mb01LFZf8siIPzkR4UnNNdpgzGCiEiKohFnpTT0tIwYsQIbNu2zWSdv78/xo8fj/Hjx8PJycns9rln9SgvM2bMgLu7O1q1aoXU1FTExBQ8J/bw4cOxadMm9OnTB1OnTsWdO3ewdOlS/PHHHzh58qTRsaWkpKBLly64fv06xo0bh+bNm+Po0aOYNm0arl69inXr1pX14REREVElVNE+3S9NvLXyTLuae6aTdzKqIRF2eTcBAPh6Shj2mh0SkgUSUwQcc+VA0jIAtQaIihOIijNOQnR7TG5IUIRF5UzZ6urkgiTXkdhx2AF1A9Xw85bBz0eCj4cEWQEDlpan/KZyHeh9G920t2CSatFmwemPpQCAjI4TyiVGIiI9iyQo+vfvj0OHDsHR0RFBQUHw8vJCUlISbty4gTt37mDmzJn46quvsHv3bjRp0sQSuyy1W7duoU6dOgCAbt26FZigOHToEDZt2oR+/fph9+7dhuVt2rTBoEGDEBISgrlz5xqWL168GP/88w9CQkIwefJkAMDIkSPh5uaG5cuXY/jw4ejSpUsZHRkREZHtWvDfII7Gn+QqMWfRHGuGRZWISinl2yVl0UR7ZGQKJKQIJCYLxCcLJPw360ndGg8TIgnJAllqICZRDtg1xLHzwLHzasP6TybbI9A/J0Fx8qIGyakCPh4CLnaAs5v1W184ydR4zvtfw+wmuUnImZLV8cQqZLYewu4eRFSuSp2g+Omnn3Do0CF0794d33//Pby9jZsP3rx5Ex999BHWrVuHbt264a+//kKNGjVKu9tS0ycnimLjxo0AYEg26A0cOBCBgYHYuHGjUYJi48aNcHR0RHCw8RRWU6ZMwfLly7Fx40YmKIiIqFKTyWRwdnG2SitKejTlHuDRM2UVdLm6NRSnq4uDvQQHewn+PvmXaVZPhvULHHD1RhRWrtiB7s++jLRsZzyIFYiMFajq9fCp/8AJDS7d1M9WYg+lQo2qXhr4+cjQsqEcPTvk3I7ru42UxRSseXVwfQA7Wf4zqEgAoM2C3fV9yGrxUpnHQ0SkV+oExdatW2Fvb4+tW7eaJCcAoF69eli7di26d++OoUOHYvDgwThy5Ehpd1uuTp06BZlMhg4dOpisCwoKwtatWxEfHw9PT09ERUXh7t276NixIxwcHIzKBgYGws/PD6dPny5wf9HR0SYtOm7dugUAUKvVUKvV5jYrdxqNBlqttsCxO+i/86TheSqIVqOFVquFVqMtvDBRIXg92bYZ82eYXW7J90j937607715ryVL1WtuP6zXsvWOGj/K8HNkeCQ+nPchRr05Cn4BfgAsc73ZKQFfdzVU2VfQtWU6/AJytzTQQr+Ldk0leLnJEBGjQ2SMDinpMtyPErgfpYWTg0C3tjnlwqIE5qxQo6qXBHcnB6Q7PInz1+XQydXw9USJu4wI004ccFdkF23jlKginStLvuYAQKPV2Mz9ri3iPThZklZrW/dLpU5Q/PXXX+jevTt8fX0LLPf666/jwoULWLJkCU6ePGn2Yd9WhYWFwdvbGyqVymRdtWrVDGU8PT0RFhZmtNxceX2yIT8rV67E+++/b3ZdUlIS4uLiihN+mdFoNEhJSYEQggN/FiA1KxXp2emQMmyjL6ot0mq1SE/NGc5MLpdbORqq6Hg9UWpyquF7smNyievJey1Zqt68WG/FrLeodT9WP+dLfz1JSkfEJysQnSDBw0UgOSEngRB6T4asbDvcjRS4CxXg1Avr9wDYo4ZKKTBjaDaqeuWUjUmU4Ggv4JT/GKIGOq1pS4lEjfnxOfJKk5yRnFD4ObPUOTbUk5RqM/e7toj34GRJiYmJ1g7BSKmv6AcPHqBv375FKjtjxgysWLECO3bsqFAJivT0dHh4eJhdZ29vbyiT+7u5ZIa+vL5MfsaNG4cXXnjBaNmtW7cwYMAAuLm5mZ01xBo0Gg0kSYKnpyffHAsgz5RDm6GFq72rtUOxWfpPTFzdXSFX8IGSSofXE6Wl58w96ezqDFePkr/35r2WLFVvXqy3YtZb3LpzX0/+AabvTZ0fA1o2EXgQK3D1RgJ2/XQWNRt2QlSiHZJSJQTWdIbdfzOefLFdjSu3BbzcgOpVJdTwk1CjqoTqVSX4+UhQyB9+KCKTm3ajOplcFcOrXoNS0pmdqEMAgFwFqUX/It2/WOocG+pxc7aZ+11bxHtwsiR3d3drh2Ck1Fd0WloaXF2L9kbk6emJoKAgnDx5srS7LVeOjo7Iysoyuy4zM9NQJvf3gsrry+TH19c33xYpSqUSSqWySHGXB7lcDoVCYVMx2RqFRgG5Qs5/IIWQy+U8T2QxvJ4qN31iyhLXQO5ryZL1Gu2D9VbIektSd0HvTXmnA3VKjwXCTqGaQolmVbzh6PBwbDOlQgM7pUBcEhCXJHD++sNuHD07KDB6UM59WXKagMrRG75VAZks58E2NjoWDt5+OJDVAs86/A2B/8ac+I/+97SgYMidi5YksNQ51tejkPPesjC8BydLsbXWpqV+lxZCFGswnyZNmmDnzp2l3W25qlatGm7cuIGsrCyTlhF5u3Tk7vJhTlhYWL7dP4iIiIiocspvOlBzZo6yh04n8CBO4F6EDvce6HA3UuBepA41/B7el/9zS4u/EocBAFycgKpV1EhN+xO9nmwLvyaeSL2zEk4nVwHaXB+syVVICwpGRtB4ix8jEVFhyv2jJQ8PD5vr51KYdu3a4dq1azh16pTJ7BsnTpxAnTp14OnpCQCoUqUKatSogfPnzyMjI8NooMy7d+8iMjISvXv3Ltf4iYiIiOjRIpNJ8PeR4O8jQ4cWD5frZwMBAKVSQqNaMtyN1CElDUhJUwIOXbF5P7D1QBY2fjAeWW2GwH3t09CoNbjXbDIc2jwDextr8k1ElYdFEhTz58/Hd999hzZt2qBt27Zo06YNWrVqBScnJ5OyMpkMGRkZlthtuRk8eDA2btyIkJAQowTFzp07ERoaivfee8+k/AcffIBVq1YZTU0aEhJiWE9EREREZGm5Wza3aSxHm8ZyCCEQlyTw96VYbN5yDF/XWQ1IErw35oxPIctMhKQRUJ5aB82pdciUA0ol8FOLXxHoL0PdGjK4OHGwbyIqe6VOUPTs2RPnzp3DtWvXcO3aNWzZsgVAzptj/fr1DQmLNm3aoHXr1qUO2FK+/fZb3L17F0BOywYhBBYuXGhYP3v2bMPPPXv2xCuvvIKtW7eib9++6N+/P+7cuYPPPvsMjRs3xpQpU4zqfvfdd7F9+3a8++67CA0NRYsWLXDkyBF8++23GDx4MLp27Vo+B0lERERElZ4kSfB2l9CktgaOGf+Du4sOCsXDsQs0bjWQmCKgVANqDaDR5nxt3Zsz1efwAUo80zmn/L1IHcKidAj0l6Gqt1Ti6U+JiMwpdYLit99+AwDcuXMHZ8+eNXzlTlps3rwZQE7rCXOtKqxh7dq1OHLkiNGyOXPmGH7OnaAAgA0bNqBZs2ZYt24d3nzzTXh6ehpaSjg7OxuVdXV1xbFjxzB79mxs27YNa9asQc2aNfHhhx9i6tSpZXdQRERERESFuNHnW/gH+BstkwFQAZBrBMKiBULDdegdoUNouA51qj+cCeTEBQ12HNQAAFR2QE0/GXzcHJBh3wGhkXL4B5TjgVRyijWdYJiGRacFslIAnQaQKQCVCyD7b/DDN09ZL0iiYrLYGBS1atVCrVq1jKbHvHnzplHS4u+//0ZycnKxBtUsK7///nuxyiuVSsyYMQMzZswoUnkfHx+sWbMGa9asKUF0RERERETlT6GQEOgvIdDfdHpSAAjwlaFNYzlCw3WISxK4cVeHG1ABzoPw3W9adGybU04IgR//p4Gfj4SafmxtUWaEANLjcr7wcPwRpEYBjl45X0QVSJkOklmvXj3Uq1cPr7zyCoCcN6pr167h7NmzZblbIiIiIqIKxdvX2/CzWqNGbHQsvH29oVQojdZZW+fWCnRunfMIkZwmcDdChwv/JGL/gStoWqepoVxiCvDdPrXhd6UCqF5Vhhp+Emr4ydChmRzeHuaTIFQ0mjHHofzzM+DwB2bWCiA9Fmg/ptzjIiqNcp3FQ5IkNGrUCI0aNSrP3RIRERER2bTgScGGnyPCI7Bw1kKMnTjWpCuGrVi1dJVhGlS1Rg2X1FiE/eWNBRdyEiqvvDEWA55Q4F6kDvciBWITBf4N0+HfMADQonaADN4eOXUdOavB3QgdXOztICC32jFVOBmJwNFPCy5zLARoNwpw8CiXkIhKq9ynGSUiIiIioootNjoWkRGRJsv03F0lvNrbzvB7WobA/Qc63I3Q4W6kQA2/h60nTl3S4uwVLZRyB7jm7qZABZKu/QRoswoupMkE/vkJaDO0fIIiKiUmKIiIiOiRsGDmAgA5n+YCwOplq6FUKDFn0ZyCNiOicuDkIKFhLTka1jJtIdG7swJ1q8sQE5uCC/t0VoiuYpJSo4tWsKjliGwAExRERET0SJHJZHB2cYZMxv7tRBVB03pyNK0nR0R4Ji7ss3Y0FYdw9i1awaKWI7IBTFAQERHRI4EtJYioMpGfXAlAAgrsFiMBjfuVU0REpcePFoiIiIiIiCoambzwaUQdvThAJlUoTFAQERERERFVMJoxx4F3bgHdZwEKe+OVCvuc5e/csk5wRCXELh5ERERERFQs3r7ehp/VGjVio2Ph7esNpUJptK4weacrBYCVy1ZCZadClSpVMG3aNMsG/qiRJKDruzlTif7zU86AmM6+Od062HKCKiAmKIiIiIiIqFiCJwUbfo4Ij8DCWQsxduJY+Af4F6sec9OVxkTHWCTGSsXBg1OJ0iOBXTyIiIiIiIiIyOqYoCAiIiIiIiIiq2OCgoiIiIiIiIisjmNQEBERERVg0dxFkCAZBvBbvWw1lAol5iyaY+XIiIiIHi1sQUFERERUBDKZDM4uzpDJePtERERUFtiCgoiIiKgAM+fPhELBWyaismBuulIfXx/DNKNEVLnwvy0REREREVmFuelKx00chyb1mlgxKiKyFrZRJCIiIiIiIiKrY4KCiIiIiIiIiKyOCQoiIiIiIiIisjqOQfEIEUIgJSUFycnJUKvVEEKU6f50Oh2ys7ORmprKEc0LkK3NRrY2G2qZ2tqh2CwhBNTZamgyNZAkydrhUAVna9eTJJOgtFPCxdOF75VEREREBWCC4hGh0WgQHh6O9PR0AIBCoYBMJivTm3NJkmBnZ2cTDwC2TCFTQC7JeZ4KoZQpIcl4jsgybOZ6EoBWq0VmaiY02Rp4VPVgkoKIiIgoH0xQPCISEhKQnp4ONzc3+Pr6lst0aDqdDlqtFnK5nDfcBdDoNNDoNJBLcmuHYtO0Gi3kCp4jsgxbup6EEIiNiUVCQgJS4lPg5u1m7ZCIiIiIbBKfKh8RqampkMvl8PPz41ztREQ2RJIkePt4Qy6XQ53Nrl5ERERE+WGC4hEhhIBCoWA3AiIiGyRJEhRyBYSubMcGIiIiIqrI+FE7ERFReWD+mPJYMHMBAECtyWlZs3rZaigVSsxZNMeaYREREVkNW1AQERERWZFMJoOzizPHcyIiokqPLSiIiIiIrIAtJYiIiIwxVU+PlN9//x2SJOH333+3diiQJAnjx48v0bZ2CjtMfGuihSOyvNTUVIwZPQbVA6rDTmGHKZOnIDQ0FHYKO2zcsNHa4RERERERUQXCBAVVCOvXr4ckSYYve3t71K9fH+PHj0dUVJS1w3sknPjzBOa/Px+JiYlF3uajDz/Cxg0bMXrMaKzbsA6vvfaa2XJ79+zF/Pfnlyiujh06wk5hhzWr1xRY7vbt2xgXPA4N6jWAi5MLvDy80PXxrvji8y+QkZFhKFevTj3YKexgp7CDSqmCj5cPWrVsheCxwTh96rTZuvXlx4weY3b9nNlzDGViY2NLdJxERERERJUdu3hQhTJ//nzUqlULmZmZ+OOPP7Bq1Srs2bMHly9fhqOjo7XDq9BOnDiBhQsWYsjQIXB3dy/SNr8f/h3t27fHnLkPmykLIZCcmgylUmlYtm/fPqxauQpz580tVkw3b97E2bNnYWdnh61btmLMWPMJgj2/7sErL78ClUqF1we/jiZNmiA7OxvHjx/H9GnT8c8//2DV6lWG8i1atsCktycBAFJTUnHt2jXs2L4Da79ei4kTJ2JxyGKTfdjb2+PHnT/ii+VfwM7OzmjdD9//AHt7e2RmZhbr+IiIiIiI6CEmKKhCeeaZZ9C2bVsAwMiRI+Hl5YUlS5Zg9+7deOWVV6wcXeUTExODRo0aGS3Tt3CxhC2bt0CpVGLa9GlYuGAhQkNDERgYaFTmzp07eP2111GjZg38duA3+Pn5GdYFjwvGrVu3sHfPXqNtAvwDTFp7LPpwEQa/PhjLli1D3Xp1TZIhT/V6Cr/8/Av27duHfv36GZaf+PME7ty5g+eefw4/7vzRIsdNRFQanB2EiIgqKnbxoArtiSeeAJDzkJqfY8eO4YUXXkCNGjWgUqlQvXp1vP3220bN/gFg2LBhcHZ2Rnh4OAYMGABnZ2f4+Phg6tSp0Gq1RmV1Oh2WLVuGZs2awd7eHj4+Pnj66adx9uzZAuNd9MEiqJQqrFi+okjHt2XLFjRp3AQuTi5o3649jh09ZlImPDwco0aOQjX/anB2dEaL5i2wft16k3Irlq9Ai+Yt4ObiBl9vX3Ro3wFbt24FAMx/fz6mT5sOAKhft76hu0JoaKjZuI78fgR2CjvcuXMHe/bsMSqfdwyKEW+MwKqVOa0X9OXsFHZm683r++++R8+ePTFy1EhIkoTvtn5nUibk0xCkpqbiyy+/NEpO6NWtWxcT3ppQ6L4cHBywfsN6eHp64qMPP4IQwmh9QEAAHn/8cZMYtm7diqbNmqJJkyZFOiYiovLC2UGIiKiiYQsKqtBu374NAPDy8sq3zLZt25Ceno7g4GB4eXnh9OnT+OKLLxAWFoZt27YZldVqtejVqxfat2+PTz/9FAcPHkRISAjq1KmD4OBgQ7kRI0Zg/fr1eOaZZzBy5EhoNBocO3YMJ0+eNLTwyGvunLn4+KOPsXLVSowYOaLQYzt69Ci2/bANb45/EyqVCmtWr0GfZ/vg+InjaNq0KQAgKioKj3d6HJIkIXhcMHx8fLBv3z6MHjUaycnJeGviWwCAtV+vxduT3sbzA5/HhAkTkJmZiUuXLuHM6TN45ZVXMOC5Abh58ya+/+57fBryKby8c86nj4+P2dgaNmqIdRvW4Z0p7yCgWoChu4SPjw9iYmKMyo4aNQqREZE4ePAg1m1YV+hx650+dRq3bt3CjFkz4Ofnh8cffxxbt27F9BnTjcr9+suvqF27NoI6BhW57vw4Ozuj/4D+WPfNOvzzzz8mSYeXX3kZk9+ejNTUVDg7O0Oj0WDH9h2YOGkiu3cQkc1gSwkiIqqomKCgCiUpKQmxsbHIzMzE8ePHMX/+fDg4OKBPnz75bvPxxx/DwcHB8Pvo0aNRt25dzJw5E/fu3UONGjUM6zIzM/HSSy9hzpycm7uxY8eidevWWLt2rSFBcfjwYaxfvx5vvfUWli1bZth2ypQpJp+6601/dzq+WPYFvlr7FYYMGVKkY71y+QpOnjqJ1m1aAwBefOlFNG3cFO+/9z62bc9JrMydMxdarRbnzp8zJGlGjxmN1197HQvmL8Co0aPg4OCAPXv2oHGTxvjue9MWCADQvHlztGrVCt9/9z369e9n0o0irypVquC1117De3PfM+kukTdB0SGoA+rVr4eDBw/mO4imOVu2bIFKpTJ0p3jxpRfx5rg3cf78ebRs2RIAkJycjPDwcPTt17fI9RZGn5T4999/TRIUzw98HhPfmojdu3fjtddew4HfDiA2NhYvvfwSNqzfYLEYiIhsEbuOEBFRWWOCopJ4Yty9fNdNftUTfTo7AwB++SMVS7bE51v20MqHD/PBH0fh5n212XLPdnLClNdyHphv3MvG2I8eGG1bUj179jT6vWbNmti8eTMCAgLy3SZ3ciItLQ0ZGRno2LEjhBD4+++/jRIUQE5SIrfHH38c3377reH3HTt2QJIkzJs3z2RfkiQZ/S6EwFsT3sJXX36F9RvX4+WXXy78IP/ToUMHQ3ICAGrUqIG+/fri119+hVar/X979x0WxdW2Afxelt6LCAIqFuwNxIoNxY4oimLvPfYeG1h5RcXYsWPXKPaSaFRsUWMsMRqNYkOwAgIiIOzufH/w7YZ1lybggt6/6+KKe+aZmTPLCTvz7CnQ0tLCwQMH4dPVB4IgKK0e0apVK/y892fcunkLDd0awtzcHFGRUfjz+p9wraO+h0dhIpFIsO/nfWjVuhXMzMwAAN6dvTF2zFjs2bVHKUEBACYmJvl2bmPj9P8XPnz4oLLNwsICrVq3ws97fkavXr2wZ88eNGjQAKVLl8638xMRFXYcOkJERAWFCQoqUlavXo0KFSpAW1sbNjY2qFixYrY3SBEREZg9ezaOHDmC9+/fK22Lj49Xei2fTyIjCwsLpf0eP34MOzs7WFpaZlvfbdu2ITExEStWrchVcgIAyjuVVylzcnJCUlIS3r17By0tLcTFxWHjho3YuGGj2mO8ffcWADBp8iScPXMWDRs0RPny5eHR0gPdu3dHQ7eG2dYjNjYWqampitcGBgaKpEFBOX3qNN69e4eu3boqyooVKwZ3d3fs3bsXC/+3EFpaWjA1NQWgPpnwpRITEwFknvTo3qM7BvQbgIiICBw5fAQB/wvIt3MTERVm7ClBREQFjQmK70ROey94NjJW9KbIztqpNpBKpRCLxVkmCSqU0s2X3hMAULdu3UzneFBHKpWiZcuWiI2NxdSpU1GpUiUYGRkhKioK/fv3h0wmU4oXi8X5Uk85Nzc33L59G8Frg9GtW7ccJTVySl73nr16ok+fPmpjqteoDgCoXLky7v5zF8ePH8epX0/h4IGDCF4bjBkzZ8DPX7UnSEbdfLrhwoULitd9+vbBps2b8ukq1Nu9e7faoTvdfLthyOAhuHD+Apq5N4OpqSns7Ozwz71/8u3c9+7dAwCUK1dO7fYOHTpAT08PgwYMwqdPn+DT1Sffzk1ERERE9D1jgoK+aX///TcePnyIrVu3Ks39cPr06S8+Zrly5fDrr78iNjY224RD+fLlsfB/C+HR3AOe7Tzx6+lfczwcIfxRuErZo0ePYGhoqOjlYWJiAqlUihYeLbI9npGREbp164Zu3bohNTUV3Xy64X8B/8PUaVOhr6+vMjxFLnBxoFIPkhJ2qitlZCezY6vz8eNHHD1yFG3btVUMt5Dr2Kkjfhj5A3bv3o1m7s0AAO3at8PGDRtx9cpV1G9QP9d1yygxMRGHDx1GyZIlVZZPlTMwMIBXRy/s2rkLbdq0QbFixfJ0TiIiIiIiSsfBgwXowIEDqF+/PoyMjGBhYQEvLy/cvXtX09X6rsh7RGScvFIQBKXJLXOrS5cuEAQBc+bMUdmmbpLMGjVq4OCRg3jw4AG8O3qrLG+amatXr+LWzVuK1y9evMDRI0fh0dIDYrEYYrEY3p29cfDAQbXtKuNklTExMUrbdHV1UalyJQiCgLS09HlEjIyMAABxcXFKsS61XdDCo4Xip0qVKjmqf0aGhoZqj63OoUOH8PHjR6XhHXLm5ubwaOmBgwcO4tOnTwCAiZMmwsjICMOGDcObN29U9nn8+DFWrliZ7XmTk5PRv19/xMbGYtqP07JMqoyfMB4zZ83E9BnTsz0uERFlbd70eZg3fR6ClwcDSJ98Uz4hJxERfV/Yg6KAbNq0CYMHD0a1atWwaNEipKSkYOXKlWjYsCEuX76M6tWra7qK34VKlSqhXLlymDRpEqKiomBqaorQ0FCVuShyw93dHX369MGKFSvw6NEjtGnTBjKZDBcvXoS7uztGjRqlsk+9+vUQeiAUXh280L1bd+w/sB86OjpZnqdqtapo36690jKjADDbb7YiZsHCBTgfdh6NGjbCoMGDULlyZcTGxuLWrVs4e+Ys3rxLf2Bv17YdbG1s0aBhA9jY2ODB/QdYs2YN2rZrq+jR4eKSPiGn3yw/dPXtCh0dHXh6eioSF3khn+xz/LjxaNmqJcRiMXx9fdXG7tm1B8bGxmjXrp3a7d18u+HE8RM4ceIEvL29Ua5cOWzbsQ29evRCjWo10LtPb1StWhWpqam4cuUKQveHom8/5ZVTol5GYefOnQCAj4kfcf/+fYTuD8Xr168xfvx4DBk6JMvrqVmzJmrWrJnbt4GIiLLAyTeJiIgJigLw/v17TJgwAQ4ODrh8+bJiIr9u3bqhSpUqGDt2LM6ePavhWn4fdHR0cPToUYwZMwYBAQHQ19eHt7c3Ro0alacHzC1btqBGjRrYtGkTJk+eDDMzM7i6uqJhw8wnnXRv7o5de3bBt6sv+vfrj+07tmd5E9akSRPUq18P8+fNx4uIF6hcpTI2btqIGjVqKGJsbGxw+cplLJi/AIcOHkLw2mBYWVmhSpUqWBiwUBE3ZMgQ7N61G8t/Wo7ExEQ4ODjgh1E/KPUAcK3jCv85/tiwfgN+/fVXyGQyPAx/mC8JCm9vb/ww6gf8vPdn7Nq5C4IgqE1QvH37FmfOnEHnLp2VVl/JqEOHDjAwMMCunbvg7e2tKLtx6waClgbh6JGjWBe8Dnp6eqhevToCFwdi0OBBSsf46/ZfGNBvAEQiEUxMTOBQ0gHtPdtj4MCBqFO3Tp6vl4iIco6TbxIRkZxIUNcnnfIkJCQEAwYMgL+/v8pSlP3798fWrVsRERGBkiVL5viY9+7dQ7Vq1XD37l1UrVpVZfuTJ08AAGXLls1b5XNBJpPlaJLM751EJoFEJoFYlL8TcH5rpBIpxNp8jyh/FMb29PzZc6RJ02DtYJ19MBUKEokECe8TYGphCm1tfqdTVL2Meon5M+Zj5oKZsLO309ixc9OeCqrOhf248uP4LfBDVSfV+11Kl5aWhpiYGFhZWWXbI5coO7dv34azs3Omz5lfG58qC8C1a9cAQO236fKy69evf9U6ERERERERERVm/DqgAERGRgIAHBwcVLbJy+Qx6rx9+1ZpgkMACA9PX9EhLS1NMalhRjKZDCKRSGXZzIIm74Dztc9blAiCAAgAcr6QxXdHEAQIECAIQq5W/CBSpzC3J0EQIJFINF0NyiGpRAqpVAqpRKrpqlAeyH9/Uok03///y82xc9OeCqrOhf248uNIpBK197uUTiKRQCrN//ZM3yeptHB9xjFBUQCSkpIAAHp6eirb9PX1lWLUWbNmjdoVIgAgPj5eZUUGAEhNTYWuru5XbWCCICjOV9geAgoTqUwKmSADmMPJlAABMmn6GyRiJofyqLC2J0EmIC01DQnvEzRdFcohqVSKpMT0z2v5qlBU9CQmJCr+m2CYv///5ebYuWlPBVXnwn5cxXHiE9Xe71I6iUSCDx8+QBAEDj+jPMvJKntfE1t0AZAvqShfBjGjlJQUpRh1Ro4cia5dlZdYDA8PR6dOnWBmZgYrKyuVfRITEyESiTRyA8U/jNnQAiADxFq8uc2MvCeOWCxmsovyrLC2J5GWCDq6OjC1MNV0VSiH5N/mmpqbFro5TSjnPiZ9BAAYmxrn2/9/C2enT0QtSUv/Bnv3tt3Q1tHG9LmZLz+dm/ZUEHUuCsdVHMfMWO39LqWTSCQQiUSwtLTkfTjlmbm5uaaroIQtugBkHMZRuXJlpW1ZDf+QK168OIoXL652m46OjtrJcOSTVH7NySrlw0q+9nmLGplMxuEd2RCJRBBBVKgeJqnoKsztSSQS8WayiBGLxRBri/l7K4LmTZ8HAEiTpA8V2LB6A3S0dfJl1RB57ywt8f8vjSrWggjZ//+d0/YkT2Dkd9sr7MeVH0dbrM3JH7MhFqe/13yfKK8KWw9BftoWgLp16yI4OBhXrlxBy5YtlbZduXIFAFCnDpcyJCIiIipoWlr/n0TIxy9TuDQqEVHBYIKiAHTq1Aljx47Fhg0bMG7cOJiapnd1i4iIwL59+9CsWbNcLTFKRERERLnDJAIRUdHDfvkFwMLCAosXL0ZkZCTc3NywatUqLF26FE2aNIFIJMJPP/2k6SoSERERERERFSpMUBSQYcOGYd++fTA0NMSUKVMwb948VK9eHZcvX0bNmjU1XT0iIiIiIiKiQoVDPAqQj48PfHx8NF0NIiIiIiIiokKPPSiIiIiIiIiISOOYoCDKByEhIRCJRHj27Jmmq5Ij58POQ1dbF+fDzhfqYxIRERER0feDQzy+AwmfEiCVSfP9uDKZDFKpFGKxOEdLd4m1xDDVM83TOe/du4eAgACcO3cO0dHRsLKygru7O6ZPn46qVavm6dhERERERESkOUxQfAekMinefnwLsZY4X4+bmwSFVCZFcaPieTrfgQMH0KNHD1haWmLQoEEoU6YMnj17hk2bNmH//v3Ys2cPvL2983SO70XjJo2RkJgAXV1dTVeFiIiIiIgIABMU3w2xlhjm+ub5eszcJCjiUuLydK7Hjx+jT58+KFu2LC5cuABra2vFtrFjx6Jx48bo06cP7ty5g7Jly+bpXLnx8eNHGBkZfbXz5RctLS3o6+truhpEREREREQKnIOCioTFixcjKSkJ69evV0pOAECxYsWwbt06fPz4EYGBgQCA/fv3QyQS4fx51fkQ1q1bB5FIhLt37yrKHjx4AB8fH1haWkJfXx+urq44cuSI0n7yeSbOnz+PkSNHonjx4nBwcMi0zocPH0b79u1RyqEUzIzMUKlCJSyYvwBSqfJwG4/mHqhVsxZu3riJJo2awNTYFBXKV8D6deuzfV+6+nRF3Tp1lco6dewEXW1dHD16VFH2x7U/oKuti19O/gJA/XwR8nr8888/aNmiJcxMzOBYyhFLFi9ROW9kZCS6dO4Cc1Nz2Jewx6QJk/Dp0ye1ddy/fz/q1a0HU2NTlLApgX59+yEqKkqx/ejRo9DV1sXff/+tKDtw4AB0tXXR1aer0rGqV6uOnj16Zvu+EBERERFR0cMEBRUJR48ehaOjIxo3bqx2e5MmTeDo6Ijjx48DANq3bw9jY2P8/PPPKrF79+5F1apVUa1aNQDp81rUr18f9+/fx7Rp07B06VIYGRmhU6dOOHjwoMr+I0eOxD///IPZs2dj2rRpmdY5JCQExsbGGDd+HJYELYGzizPm+M/BjB9nqMTGvY+DVwcvuNR2QcD/AmBvb49RP4xCyJaQLN+XRo0a4c5fd5CQkAAAEAQBV36/Ai0tLVy+eFkRd+nSJWhpaaGhW8Msjxf3Pg4d2ndAjZo1ELg4EBUrVsT0H6crEhsAkJycjNatWuP0qdMYMXIEpv04DZcuX8KPP/6ocrxtW7ehZ/eeEGuJMX/BfAwcNBCHDh6Ce1N3xMXFAQDc3NwgEolw6dIlxX6XL12GlpYWfr/8u6Ls3bt3+PfBv5m2ASIiIiIiKto4xIMKvfj4eLx8+RIdO3bMMq5GjRo4cuQIPnz4ABMTE3To0AH79+/HihUrIBanz7/x+vVrnD9/Hv7+/or9xo4di1KlSuH69evQ09MDkJ6EaNSoEaZOnaoyr4WlpSXOnDmjOGZmdu3aBQMDA0hkEkhkEgwfPhw/jPwBwcHBmDNvjuJcAPDy5UsELg7EuPHjAABDhg6BW0M3zJwxE71694KOjo7aczRq1AgymQy/X/4dbdq2wd27d/H+/Xt08emi9MB/6dIl1KhZA6amWU9S+vLlS2wO2YzevXsDAAYMHIDyZctjy5YtaNO2DQBg44aNePTwEXbt2QUfHx8AwKDBg+Dq4qp0rLS0NEz/cTqqVquKs2FnFUNK3Nzc0KljJyz/aTn8/P1gaWmJylUq4/Llyxg1epSivt6dvRG6PxQPHjxApUqVcPlyesLFrZFbltdARERERERFE3tQUKH34cMHAICJiUmWcfLt8t4Evr6+ePv2LcLCwhQx+/fvh0wmg6+vLwAgNjYWZ8+eRbdu3fDhwwdER0cjOjoaMTExaN26NR49eqQ0HAEAhgwZkm1yAgAMDAyUriE6OhpujdyQlJSEBw8eKMVqa2tjyNAhite6uroYMmQI3r59i5s3bmZ6jlrOtWBsbIyLFy8CSO954ODggN69e+PWrVtISkqCIAj4/fLvaNSoUbZ1NjY2Rq9evZTq4VrHFU+fPlWU/XLyF5QoUQJdunRRlBkaGmLQ4EFKx7rx5w28ffsWw4cPV5rvol37dqhYqSJOnjypKGvUqJEiAfHhwwfc+esOBg8ejGLFiuHypfTyyxcvw9zcXNHzhYiIiIiIvi1MUFChJ088yBMVmfk8kdGmTRuYmZlh7969ipi9e/eiVq1aqFChAgAgPDwcgiBg1qxZsLa2Vvrx8/MDALx9+1bpPGXKlMlRve/duwdvb29YWVihuGVx2NnaoX/f/gCAhPgEpVg7OzuVyTadnJwAAM+eP8v0HGKxGPXr11c8xF+6dAlujdzg1sgNUqkU165ewz///IPY2Ngc9Tywd7CHSCRSKrOwsEDc+zjF6+cRz1GuXDmVuAoVKyi9fh7xPL28gnI5AFSsWBERzyMUr90aueH1q9cIDw/Hld+vQCQSoX6D+nBr5KboCXLp8iU0bNgwR0vaEhERERFR0cMhHlTomZmZoUSJErhz506WcXfu3IG9vb1iGIOenp5iHok1a9bgzZs3uHz5MhYuXKjYRyaTAQAmTZqE1q1bqz1u+fLllV5n7BmRmbi4ODRt2hSmpqbwm+MHxzKOMNQ3xK1btzD9x+mK8+aHhm4N8b+A/yElJQWXL13GtB+nwdzcHFWrVcWlS5dgY2MDADnqQZFZzxBBEPKtvuq4uaUnTy5dvIQnT57A2dkZRkZGaNSoEVavWo3ExETcvnUbc+fNLdB6EBERERGR5jBBQUWCp6cnNmzYgEuXLql90L548SKePXuGYcOGKZX7+vpi69atOHPmDO7fvw9BEBTDOwAoliTV0dGBh4dHvtU3LCwMMTExOHDgABo2agiJTAKxSIxnz56pjX/58qXKkqWPHj0CADiWdszyXI0aNUJqair27tmLqKgoRU+Jxo0b4/KlyyhuUxxOFZwUiYq8Kl2qNO7duwdBEJR6UTz896FKHAA8fPgQ7s3dlbY9fPgQpUqXUrwuVaoUSpYsiUuXLuHpk6eK33Hjxo0xedJkhO4PhVQq5QSZRERERETfMPaVpiJh8uTJMDAwwLBhwxATE6O0LTY2FsOHD4ehoSEmT56stM3DwwOWlpbYu3cv9u7di7p16yoN0ShevDiaNWuGdevW4dWrVyrnfffu3RfVV94TIWPPg9TUVAQHB6uNl0gk2LB+g1Lshg0bYG1tDZfaLlmeq269utDR0cHixYthaWmJqlWrAkgfNnHt2jVcvHAxR70ncqpN2zZ4+fIlQkNDFWVJSUnYtHGTUlxt19ooXrw41q9fr7QE6S8nf8GD+w/Qtm1bpXg3NzeEnQvD9evX4dY4PclSs1ZNmJiYIDAwEAYGBtm+F0RERKRq3vR5mDd9HoKXp9+HBC8Pxrzp8zRcKyIiVexBQUWCk5MTtm7dil69eqF69eoYNGgQypQpg2fPnmHTpk2Ijo7G7t27Ua5cOaX9dHR00LlzZ+zZswcfP37EkiVLVI69evVqNGrUCNWrV8eQIUNQtmxZvHnzBleuXEFkZCT++uuvXNe3YcOGsLCwQL9+/fDD6B8gCAJ279qd6VAJOzs7LFm8BM+fP4eTkxP2/bwPf93+C2uD12a6goecoaEhXFxccO3aNbT3bK/o1dC4cWN8/PgRHz9+zNeVLwYNHoS1a9ZiYP+BuHnjJkqUKIGdO3fCwFB56IuOjg4WBizE4EGD0cK9BXy7++LNmzdYtXIVHB0dMXbcWKV4Nzc37NmzByKRSDHkQywWo0GDBjh16hSaNm0KXV3dfLsOIiKi742WlhaMTYw5nxMRFVpMUHwnpDIp4lLi8vWYMpkMUqkUYrE42w86qUya5/N17doVlSpVQkBAgCIpYWVlBXd3d0yfPj3T1R18fX2xceNGiEQidOvWTWV7lSpV8Oeff2LOnDkICQlBTEwMihcvDmdnZ8yePfuL6mplZYVjx45h4sSJ8JvlB3MLc/Ts2RPNmzdH+3btVeLNLcyxefNmjBs7Dps2boKNjQ2Wr1iusjJGZuS9JeQP9gBga2uL8uXLIzw8PF97UBgaGuKXU79g3NhxWLN6DQwNDdGjZw+0bt0anu09lWL79usLA0MDLA5cjOk/ToeRkRE6duqIhQELYW5urnINAFCxUkVYWVkplZ86dYrLixIR0TdP3qshTZIGIL2ng462DmYtnJWn4+Z1fyKir0UkFPTsd5Qv7t27h2rVquHu3buKLvwZPXnyBMB/cypklPApIV8SBJ/LTYICAMRaYpjqmeZ7PQo7iUyimINCHY/mHoiOicbtv25/3YoVMlKJFGLt7JdvJcqJwtienj97jjRpGqwdrDVdFcohiUSChPcJMLUwhbY2v9OhvMlJe5InKKQyKZI+JsHQyBBiLXGhTzC8jHqJ+TPmY+aCmbCzt8vzcfwW+KGqk+r9LqVLS0tDTEwMrKyssu1pS5Sd27dvw9nZOdPnzK+Nn7bfgYJKCuQ2QUFEREREmSvsiQgiooLGp0oiIiIiIiIi0jgmKIiIiIiIiIhI4zjEg0jDfjv7m6arQEREREREpHHsQUFEREREREREGscEBRERERERERFpHBMURERERERERKRxTFAQERERERERkcYxQUFEREREREREGscEBRERERERERFpHJcZpSxNmDBBbXlQUNBXrgkRERERERF9y9iDgnJEKpUiISEBUqlU01UhIiIiIiKibxATFJSloKAgBAUFYdKkSUhISMCkSZMKde+JsLAwiEQihIWFaboqEIlEGDVqlKarUSTJZDLUqlkLAQsDNF2VXPvnn39goGeAu3fv5vlY1/+4DiMDIzx//jwfavZtaNSwEaZNnabpahARERFRAWCCgoqEkJAQiEQixY++vj4qVKiAUaNG4c2bN5quXr5zKucEXW1dxY99CXu4N3XHoUOHlOI8mnsoxZkam8LF2QUrlq+ATCZTik1OTsbQIUNRq2YtFLMsBgszC9R2qY2VK1YiLS0tV/XJ7Cencdu2bsvyfHv27EHki0iM/GGkouzP639i7JixqFmjJsxNzVGuTDn06N4DDx8+VHuM+/fvw7OdJyzMLGBjbYP+/frj3bt3KnEBCwPg3ckbDnYO0NXWxdw5czOt15nfzqBli5YoYVMC1lbWaFi/IXbs2KEUU6VKFbRt1xZz/OdkeY05MXvWbPh290Xp0qXzfCxNOH3qtKLN6evqw6mcU6axMpkMSxYvQYXyFWBiZAIXZxfs2bNHJW7SlEkIXhuM169fF2TViYiIiEgDOAcFFSlz585FmTJlkJKSgkuXLmHt2rU4ceIE7t69C0NDQ01XL1/VrFUT48aPAwC8evkKGzdsRDefbli1ehWGDhuqiHNwcMC8BfMAADHRMdizew8mTZyEd+/eYd78eYq45ORk/HPvH7Rp0waOjo7Q0tLClStXMGniJPzxxx/YvmN7pnVZErQEiYmJite/nPwFe/fsxZKlS2BVzEpR/u7tO1gXt842rkGDBllee9DSIHTz7QYzMzNF2eLFi3Hl9yvo4tMF1atXx+vXr7F2zVrUq1MPFy9fRLVq1RSxkZGRaOHeAmZmZpg3fx4SExOxLGgZ7t69i9+v/A5dXV1FrN9sP9ja2qJWrVo4depUpnU6evQofDr7oH79+pg1exZEIhH279uPgf0HIiY6BmPHjVXEDh06FF4dvPD48WOUK1cuy2vNzO3bt3HmzBlcuHjhi/YvDPbs2YN9P++Ds7Mz7OzssoydNXMWFgcuxqDBg+Dq6oqjR46ib+++EIlE8PX1VcR5eXnB1NQUwWuD4T/Hv4CvgIiIiIi+JiYoqEhp27YtXF1dAQCDBw+GlZUVgoKCcPjwYfTo0UPDtctf9nb26NWrl+J17z69UbliZSxfvlwpQWFqZqoUN3TYUFSvWh1rVq+B/xx/iMViAIClpSUu/X5J6RxDhw2FmZkZ1qxeg8VLFsPW1lZtXTp27Kj0+s3rN9i7Zy+8OnrB0dEx02vIaVxGt27dwp2/7iAwMFCpfNy4cdi+Y7tScqFrt65wqeWCxYGLsXXbVkX5ov8twsePH3H1j6soVaoUAKBOnTpo26Yttm3dhsFDBitiH4Y/hKOjI6Kjo2Fnm/lD9NrVa1GiRAmc+u0U9PT0AABDhg5B9arVsW3bNqUERQuPFrCwsMD2bdu/+CF629ZtKFWqFOrVr/dF+6vz8eNHGBkZqZTLZDKkpqZCX18/031PnzqNipUqKt7PjBITE3Hs2DF0795dqXze/HkIXhcMHR0ddPLqhHv37qk9dlRUFH5a9hNGjByB5SuWAwAGDhqIFu4t8OPUH+Hj46Nox1paWujcpTN27tgJP38/iESiHF8/ERERERVuHOJBmVq0aBEmTJiACRMmKB4WAwMDMWHCBCxatEjDtUvXvHlzAMDTp08zjbl48SK6du2KUqVKQU9PDyVLlsT48eORnJysFNe/f38YGxsjKioKnTp1grGxMaytrTFp0iSVyUFlMhmWL1+O6tWrQ19fH9bW1mjTpg3+/PPPLOu7cMFC6OnoYfWq1bm+VltbW1SqXAnPnj7LMk5fXx+1XWvjw4cPePv2bbbHlQ8fiIuLy3WdCsKRw0egq6uLxk0aK5U3aNhAKTkBAE5OTqhStQoePHigVH7wwEG0a99O6WG6hUcLOFVwwv59+5Vic5o4SUhIgLmFuSI5AQDa2tqwsrKCgb6BUqyOjg6aNG2Co0eP5ujY6hw5fATN3JupfQD/5eQvcG/qDnNTc1iaW6Jjh44qD/+DBg6ChZkFHj9+DC9PL1iaW6Jvn74AAF1tXYwdMxa7du1CzRo1YWxojF9//TXTushkMowbNw7t2rZTGSaTmpqKrl26YsSwESrb7OzsoKOjk+21Hj1yFGlpaRg2fJiiTCQSYejwoYiMjMTVK1eV4lt4tMDz589x+/btbI9NREREREUHExSUqTdv3iAyMhKRkZGKeR7kZYVl3ofHjx8DAKysrDKN2bdvH5KSkjBixAisXLkSrVu3xsqVK9G3b1+VWKlUitatW8PKygpLlixB06ZNsXTpUqxfv14pbtCgQRg3bhxKliyJRYsWYdq0adDX18fVq1dVjik3e9ZszPGfgzVr1+CHUT/k+lrT0tIQ+SIyy2uVe/78OUQiEczNzVW2paamIjo6Gi9evMChQ4ewLGgZSpcujfLly+e6TgXh6pWrqFqtao4ebAVBwNs3b1HMqpiiLCoqCm/fvkXt2rVV4uvUqfPFD7VNmjbBP/f+gd9sP4SHh+Px48dYMH8Bbty4gYmTJ6rEu7i44N7de0hISMj1uaKiohAREQFnZ2eVbTt27EBHr44wNjbGwoCFmD5jOu7fvw/3pu549uyZUqxEIoFnO09YF7fGosBF8O7srdh27tw5TJ44GV27dkXQsqAs57nQ0tLC/tD9iImOQft27RXXJJVK0ad3H1y4cAG79+yGtbV1psfIyu3bt2FkZITKlSsrldepU0exPSMXFxcAwJXfr3zR+YiIiIiocOIQDypS4uPjER0djZSUFFy+fBlz586FgYEBPD09M91n0aJFMDD47xvuoUOHonz58pg+fToiIiKUvmVPSUmBr68vZs2aBQAYPnw4XFxcsGnTJowYMQJA+oNdSEgIxowZg+XLlyv2nThxIgRBUFuHaVOmYeXyldiwaYPaxIg6aWlpiI6OBgC8fPkSgYsC8ebNG5XkhlQqVcTFxMRgy+YtuPHnDbRr107puuUOHjyIPr36KF7Xdq2N9RvWQ1u7cPw5+Pfff1Gnbp0cxe7atQtRUVHw8/dTlL1+lT55om0J1eEqtra2iI2NxadPn5R6QuTEjJkz8OzZM/wv4H+K1UUMDQ2xd99eeHl5qcSXKVsGMpkM/z7I+fXI/fvgXwCqvTsSExMxYdwEDBw0EGuD1yrK+/Ttg2pVqmHR/xYplX/69Amdu3TGgoULVM7x8N+HuHn7JqpUqZKjOlWuXBlHjx1Fq5at4N3RG8dOHMP4ceNx6OAhbN2+FW3atsnVNWb0+tVr2NjYqPQWKVGiBID09p+Rvb09dHV1cf/+/S8+JxER5d286elzXaVJ0ifbDl4eDB1tHcxaOEuT1SKiIqxwPJEQ5ZCHh4fS69KlS2Pnzp2wt7fPdJ+MD+kfP35EcnIyGjZsCEEQcOvWLZUx9cOHD1d63bhxY2zf/t8EkqGhoRCJRPDz88PnPn/AEgQBY0aPwYb1GxCyLURljH5WTp8+rTQnglgsRq/evbAwYKFS3L8P/lWZO8GzgyfWb1Du9SHXrFkznPzlJOLi43Du7Dnc+esOkj4m5bheBS0mJgYWFhbZxj148ABjR49F/fr10afvfwkX+dAddQkI+RwLycnJuU5Q6OnpwcnJCZ27dEYn706QSqXYtGET+vftj5O/nFSZK8LCPP0a5Mmj3IiJjUk/xmfvw2+//Ya4uDj4+voqHVcsFqNu3bo4H3Ze5VgZh01k1KRJkxwnJ+Rc67hif+h+dPTqiOpVqyMiIgLLVyzPVbtWJzk5Gbp6uirl8t9XSkqKyjYLC4svem+JiCj/aWlpwdjEGFpa7JxNRHnDBAUVKatXr0aFChWgra0NGxsbVKxYMdsPw4iICMyePRtHjhzB+/fvlbbFx8crvZbPJ5GRhYWF0n6PHz+GnZ0dLC0ts63vtm3bkJiYiBWrVuT6Ia5u3bqYM3cORCIRDA0NUalyJbVDNhwdHbE2eC1kMhmePHmC/wX8D9HvojOd8NDGxgY2NjYAgC5duuB/Af9D2zZt8c+DfzKdJPNry6wnitzr16/RyasTzMzMsOfnPYoJFIH/ElKfPn1S2U/+oKuuZ0l2xo4Zi2vXruGP638o2lzXrl1Rs0ZNTBg/AZevXFZ7DXmZxPHz9yH8UTgAoFXLVmrjTU1NlV5ra2vDwcFBbaxjGccvqlPzFs3RtVtX7Ni+A7Wca2WaAMkNAwMDpH5KVSmX/77UtWVBEDhBJhGRhrGnBBHlNyYoqEipW7euYhWPnJBKpWjZsiViY2MxdepUVKpUCUZGRoiKikL//v0hk8mU4jM+6OYHNzc33L59G8Frg9GtW7ccJTXkihUrhhYeLbKNMzQyVIpr0LAB6tWph1kzZ2HZT8uy3b9zl86YPWs2jh45iiFDh+S4fgXFyspKJZGUUXx8PDp4dkBcXBzOhp1VWb5SPrRDPtQjo9evX8PS0jLXvSdSU1OxZfMWTJw0USkhpqOjgzZt2mDN6jVITU1VmsTzfVz6NRQrVkzleNmxskyfZ+Tz90HeXrds3QJbG9Vk0ufDdPT09DJN4H1JkgYA1gWvw47tO+Dh4YEzZ85gzOgxWLV61RcdS862hC3CwsJUkg6vXr0CALVLlMbFxX3Re0tEREREhRf7YdE37e+//8bDhw+xdOlSTJ06FR07doSHh4faB56cKleuHF6+fInY2NhsY8uXL48Tv5zAq5ev4NnOEx8+fPji8+ZUjRo10LNXT2xYvwERERHZxsuHRHzem0RTKlasqDLZo1xKSgq8O3rj0cNHOHT4kNohCvb29rC2tsaNGzdUtl2/fh01a9bMdZ1iYmIgkUhUVnMB0ucKkclkKtuePX0GLS0tOFVwyvX5KlaqmH6Mz96HsuXKAgCKWxdHC48WKj9NmzXN9blyY+/evRg7ZiwGDByAE7+cwJKlS7B+3XrMnDEzT8etWbMmkpKSVOaU+OOPPxTbM4qKikJqaioqVaqUp/MSERERUeHy3SYoTp8+jREjRqB+/fowNDSESCTCjh07stznwoULaN68OUxMTGBiYoLmzZvj4sWLmcZv2LABNWvWhIGBAaytrdGrV68cPTAWFjY2NnBwcICDg4NiSIC8TP66sJP3iMjYVV4QBKXJLXOrS5cuEAQBc+bMUdmmbmhCjRo1cPDIQTx48ADeHb1VljctCBMnTURaWhqW//TfdUZHR6ut35bNWwBA7aoXmlCvfj3cu3tPZYiGVCpFzx49cfXqVezesxv1G9TP9Bjenb1x4vgJvHjxQlF29sxZPHr4CF18uuS6TsWLF4e5uTkOHz6M1NT/hiIkJibi+LHjqFipokqPhJs3b6JK1SowMzPL9fns7e1RsmRJlSRLq1atYGpqikX/W4S0tDSV/T5f5jM/nTxxEgP7D0Qn705Ys3YNAGD0mNGYMXMGAhcFYllQ9r11MtPBqwN0dHSwLnidokwQBGxYtwH29vZo0LCBUvzNmzcBAA0aKJcTERERUdH23Q7x2LlzJ3bu3IkqVaqgevXqim/qMvPrr7/C09MT9vb28PPzg56eHtavX4/mzZvj5MmTKpM3zpo1C/Pnz4ebmxt++uknvHv3Dj/99BPCwsJw/fr1PH2D/7VMnTpV8e8XL15g4sSJmDJlCkqWLAkAKsMjCqNKlSqhXLlymDRpEqKiomBqaorQ0NAshxBkx93dHX369MGKFSvw6NEjtGnTBjKZDBcvXoS7uztGjRqlsk+9+vUQeiAUXh280L1bd+w/sD9Hy2h+qSpVqqBt27bYvGkzps+YDisrK+zauQvr16+Hl5cXypYtiw8fPuD0qdP47bff0N6zPdybuxdYfXLDy8sLCxcsxIXzF9CyVUtF+ZTJU3Ds6DG092yP2Pex2Llzp9J+vXr1Uvx76rSpCN0filYerTBq9CgkJiYiaGkQqlWvhn79+yntt2PHDkQ8j0BSUvpEoZcuXsLCBekTkfbq3QulS5eGWCzG+Anj4TfbD43cGqF3796QSqXYsmULIiMjEbItROmYaWlpuHjhYp7mZ+jg1QGHDx1WGvZgamqKlatXYkC/Aahbpy66desGa2trRERE4OTJk2jYsCGWr/jy5FtmZDIZJk2ahGbNmmHb9m1KQ6H8/P0QFxeHuXPmonef3kpzuNy5cwfHjh4DAIQ/Dkd8fLziva1RowY8O6SvvuPg4IDRY0YjaGkQ0tLS4OrqiiOHj+DSpUvYun2rytCrM7+dQalSpVDLuVa+XysRERERac53m6BYsGABgoODoa+vj5CQkCwTFFKpFMOHD4eenh4uXLigWPWhb9++qFq1KkaMGIF///1XMdb74cOHCAgIgIuLC8LCwhTjwtu0aYO6deti5syZ2Lx5c8FfJEFHRwdHjx7FmDFjEBAQAH19fXh7e2PUqFFf1NVfbsuWLahRowY2bdqEyZMnw8zMDK6urmjYsGGm+7g3d8euPbvg29UX/fv1x/Yd2wt0tusJEyfgxIkTWL1qNWb7zYabmxuuXLmCn/f+jDdv3kBbWxsVKlbA4iWLVZYu1SSX2i6oXqM69u/fr5Sg+Ov2XwCA48eO4/ix4yr7ZUxQlCxZEr+d/Q1TJk3BjOkzoKuri7bt2iJwcaDK/BMhm0Nw4cIFxeuwsDCEhYUBSJ9DpHTp0gCAH6f/CMcyjli1YhXmz5uPT58+oXr16tjz8x507txZ6Zhnz5xFbGys0uoiudWvfz+sWb0Gv1/+HW6N3BTlPXr0gF0JOywOXIygpUH49OkT7O3t4dbIDf369cviiF9OS0sLhw4fUizv+bmgZUEYMHCAygSzt2/dhr+fv1KZ/HWfvn0UCQoAWBiwEBYWFti4YSO2bd2G8k7lEbItBD169FDaXyaT4eCBg+g/oD8nySQiIiL6xoiE7KbL/w6EhIRgwIAB2L59O3r37q2yPSwsDO7u7ujfvz+2bNmitM3f3x9z5szBxYsX0ahRI6WykJAQlQeGZs2a4c8//0RMTEyuJuq7d+8eqlWrhrt376Jq1aoq2588eQIAKFu2bI6PmRvyHhRLly5V6kEhlUohFou5rFQWJDIJJDIJxKL8nYDzWyOVSCHWTn+PduzYgbGjx+Lx08dqVy4p7Lp07gKRSIT9ofvzdJzWLVujhF0JhGwNyZ+KfQMOHz6Mvr374sHDByhRokSmcRnbU2Hx/NlzpEnTYO1gnX0wFQoSiQQJ7xNgamGqMgktUW6xPWXvZdRLzJ8xH34L/FDVSfV+l9KlpaUhJiYGVlZWBdojl74Pt2/fhrOzc6bPmV8bnypz4Nq1awCg9ttxeVnGHhjZxX/8+BH37t0riKrmuwkTJmDChAkIDAwEAAQGBmLChAkarhV963r27ImSpUpi7Zq1mq5Krt2/fx8njp+A/xz/PB9r3vx52PfzPjx//jzvFftGLAlcghEjR2SZnCAiIiKioonp2xyIjIwEkD5O+nPyMnlMbuJdXFzUnu/t27cqk92Fh4cDSM+YqpscTyaTQSQSFdi8EFpaWjAxMVH0lJCfR94BpyjMR6EpgiAAAgD2Rs+UIAgQICjmW9DS0sLtv25rulpfpHLlykj+lD8TodatVxcfkz/my7G+FRcvZz4xsdzn7akwEQQBEolE09WgHJJKpJBKpZBKVFfwIcottqfsyd8biVSi9n6X0slXFuPnCeUHdavUaVKRTlD4+/vnOLZZs2Zo1qzZF51HPnmeuiEZ+vr6SjFfEv+5NWvWqF0hAkhfCjImJkalPDU1Fbq6uvnewBYtWqS2XCqVQhAExfkK20NAYSKVSSETZABzOJkSIEAmTX+DRMzkUB4V1vYkyASkpaYh4X2CpqtCOSSVSpGUmP55/flkrUS5xfaUvcSExPT/xieqvd+ldBKJBB8+fIAgCBwuRHkWFxen6SooKdItOrOH+Mx8aYLC0NAQAFSWPQSAlJQUpZjP4z9felBd/OdGjhyJrl27KpWFh4ejU6dOMDMzg5WVlco+iYmJEIlEGvnA4x/GbGgBkAFiLd6MZEbeE0csFjPZRXlWWNuTSEsEHV0dmFqYaroqlEPyb3NNzU0L3ZwmVPSwPWXvY1J6r0FjM2O197uUTiKRQCQSwdLSkvfhlGeFbb63It2iv9b8nuqGccipG87h4OCAu3fvIjIyEk5OTtnGf6548eIoXry42m06OjpqJ8ORD734mpNVyoeVfO3zFjUymYzDO7IhEokggqhQPUxS0VWY25NIJOLNZBEjFosh1hbz90b5gu0pa/LEjbZYm5M/ZkMsTm9HfJ8orwpbjy4+VeZA3bp1AQBXrlxR2SYvk8fkJN7IyAhVqlQpiKoSERERERERFUlMUORAkyZNULp0afz888948eKFojwhIQEbN25E2bJllVbs6NmzJ8RiMZYvX640ec2ff/6J8+fPo2vXroq5KIiIiIiIiIioiA/xyIs7d+7gyJEjAIBbt24BAA4fPoxnz54BALy8vFCjRg0A6d1e1qxZAy8vLzRu3BhjxoyBrq4u1q1bh9evX+P48eNKQxwqVqyIKVOmICAgAM2aNUOfPn0QHR2NZcuWwdbWFvPnz/+6F0tERERERERUyH23CYqbN29i1qxZSmX79+/H/v37AaTPESFPUABAu3btcPr0acydOxezZ88GANSpUwe//fYbmjZtqnL8BQsWoHTp0li9ejXGjh0LY2NjtGzZEgEBAbC3ty/AKyMiIiIiIiIqer7bBEX//v3Rv3//XO3j7u4Od3f3HMWKRCIMGzYMw4YN+4LaFQKr62UbIgKAoZcKvCpERERERET07eMcFJQzsU/Sf4iIiIiIiIgKwHfbg4Ky8cM15dfyHhUZygWZDJBKv2KliEjTlixegpCQENz5+w6XFwYQExODcmXKYfee3Wjbrq2mq0NERERUpPHukoqMv//+Gz4+PihdujT09fVhb2+Pli1bYuXKlUpxjo6OEIlEip/ixYujcePGOHjwIAAgJCREaXtmP46OjmrrkZycjEGDBqFatWowMzODsbExatasieXLlyMtLU193e/8jcGDBqNC+QowMTKBhZkFXGu7YtrUaXjyJPueKdu2boOutq7ix8TIBKVLlkb7tu2xauUqfPjwQWWfV69eYfqP09GyRUtYmltCV1sX58POZ3uurCQmJmKO/xx4tvOEjbUNdLV1sW3rNrWxgwYOUqqz/Kda1WoqsTKZDEuXLlW8Py7OLtizZ0+e6prR6VOnMXTIUNSqWQv6uvpwKuekNu7Zs2dq66yrrYu9e/eqxN+/fx+e7TxhYWYBG2sb9O/XH+/evctxvT59+oTVq1ajWZNmKF6sOIwMjFC6ZGl4d/LGnj17IM2QAJTXLWhpkNpjzZ0zF7rauoiOjs7x+XMrISEBSxYvweTJk4tscmJd8Dp09+2OcmXKQVdbF4MGDso0Ni4uDiOGj4CdrR3MTc3RskVL3Lp5SynGysoKAwcNhL+/fwHXnIiIiOjbxx4UVCT8/vvvcHd3R6lSpTBkyBDY2trixYsXuHr1KpYvX47Ro0crxdeqVQsTJ04EALx8+RLr1q1D586dsXbtWrRq1Qrbt29Xih88eDDq1q2LoUOHKsqMjY3V1iU5ORn37t1Du3bt4OjoCC0tLfz+++8YP348rl27hl27dinFb9ywEaN+GIVixYqhR48eqFipIiQSCe7du4edO3Zi5YqVSEhMgFgszvZ98PP3g2MZR0jSJHj9+jUunL+AiRMmYvlPyxF6MFRpYteH/z7EksVLUN6pPKpVq4arV69me/zsREdHY8H8BShVqhRq1KiB8+ezTnjo6ekheH2wUpmZqZlK3KyZs7A4cDEGDR4EV1dXHD1yFH1794VIJIKvr2+e671nzx7s+3kfnJ2dYWdnl228b3dftGnbRqmsfv36Sq8jIyPRwr0FzMzMMG/+PCQmJmJZ0DLcvXsXv1/5Hbq6ulme4927d+jg2QE3b9xEq1at8OP0H2FpaYnXr1/j7Jmz6Nu7Lx6HP8aMmTNyf8EFJGRLCCQSCXy75/13oilLFi/Bhw8fUKdOHbx69SrTOJlMho4dOuLOnTuYMHECihUrhuDgYHi08MDVP67Cyem/JNeQoUOwauUqnDt7Du7NczZPERERERGpYoKCspf8HkiOA2QS4EYIUKUjYGDxVauwYMECmJmZ4fr16zA3N1fa9vbtW5V4e3t79O7dW/G6b9++KF++PJYtW4bhw4ejbNmySvHysoz7ZMbS0lLlYX/48OEwMzPDqlWrEBQUBFtbWwDpiZVRP4xCg4YNcPjIYZiYmCjtF7g4EAELA7I9p1ybNm1Q27W24vXUaVNx7uw5dOrYCV28u+DO3TswMDAAALjUdsHrt69haWmJ0NBQXPXNe4KiRIkSiIiMgK2tLW78eQMN6jfIMl5bWxu9evXKMiYqKgo/LfsJw4YPw8pV6b1hBg4aiBbuLfDj1B/h4+OjlLw5feo0KlaqiFKlSqkcKzExEceOHUP37t2VyufNn4fgdcHQ0dFBJ69OuHfvXpZ1cnZ2zrbei/63CB8/fsTVP64q6lKnTh20bdMW27Zuw+Ahg7Pcf0C/Abh96zb27tsLb29vpW1Tp03FjT9v4N+H/2Z5jK9t69at8OzgCX19/Xw5niAISElJUbTZjFJSUqCrq5tlT43t27fD19dXbTLowYMHiIuLg1sjN6Xy387+hlKlSkEkEsHCLPO/Y6Ghobhy5Qp2792NLl26AAB8uvqgauWqmDtnLrbv+C/JWblyZVStVhXbtm1jgoKIiIgoD4pmH136OgQBOB8ILK0EJL4GkqKBo2PTX58PTN/+lTx+/BhVq1ZVSU4AQPHixbPd39bWFpUrV8bTp08LoHbp5ENC4uLiFGVz5syBSCTClm1bVJITAKCvr485c+fkqPdEZtybu2P6jOl4/vw5du38r/eGiYkJLC0tv/i46ujp6SmSLzkllUqRkJCQ6fajR44iLS1NacUbkUiEocOHIjIyElev/JdYkclkGDduHNq1bacylCI1NRVdu3TFiGEjVLbZ2dlBR0cnV/X++PEjUlNTM91+8MBBtGvfTilR0sKjBZwqOGH/vv1ZHvvqlas4deoUBg8ZrJKckKvtWhs9e/bMVZ0z+nxYUMYfj+YeuT7e06dP8fedv9G8RXOVbTKZDCuWr0DNGjVhYmQCBzsHjBwxEu/fv1eKcyrnhE5enXDq11OoX68+TI1NsWH9BpwPO68YRjN71mw4lnKEmYlZlu3m6dOnGD50OPr26QuZTKa0LSIiAp7tPTF50mSV/UqXLg2RSJTt9R4IPQAbGxul34+1tTV8uvrg6JGj+PTpk1K8RwsPHD92HMJX/LtIRERE9K1hgoIyd2ExcG4BIElRLpekpJdfXPLVqlK6dGncuHEDd+/e/aL909LS8OLFC1hZWeVbnVJTUxEdHY0XL17g4MGDWLJkCUqXLo3y5csDAJKSknD27Fk0bdoUDg4O+XZedXr1Tv+2//Tp0wV6ntxKSkqClYUVilkWg421DcaMHoPExESlmNu3b8PIyAiVKlVSKq9Tp45iu5yWlhb2h+5HTHQM2rdrr3iAlUql6NO7Dy5cuIDde3bD2to6T/WeP28+LMwsYGJkggb1G+D0KeX3NSoqCm/fvkXt2rVV9q1Tp45SndU5duwYAHxRAiIpKQnR0dEqP0lJSUpxjRo3wpatW5R+5sydAwCwLp779+fKlSsA0nuXfG7kiJGYNnUaGjZsiKBlQejbry9279qN9m3bq8zL8vDhQ/Tp3QctWrRA0LIg1KxZU7Ft4YKFOHnyJMZPGI958+dlOUymTJky2ByyGYcOHsLIESMV5e/evUPbNm0hQMDuvbtzfZ1yf93+C87Ozio9OOrUqYOkpCQ8fPhQqdy5tjPi4uKy7Z1DRERERJnjEA9SL/k9cCHrBIToUhDgMhAwzr+H/sxMmjQJbdu2Ra1atVC3bl00btwYLVq0gLu7u9pvxtPS0hSTBb58+RIBAQF48+aNylwVeXHgwAH06NFD8drV1RWbN2+Gtnb6/1bh4eGQSCSoWq2qyr6xsbFK3/qamppmO2dBVhwcHGBmZpajCTe/FltbW0ycNBHOLs6QyWQ49espBK8Nxp2/7uC3s78p3qfXr17DxsZG5VvtEiVKAEj//WVUuXJlHD12FK1atoJ3R28cO3EM48eNx6GDh7B1+1aVuSNyQ0tLCy1btkTHTh1hZ2eHp0+fYvlPy9HBswMOHDyAdu3bKeoMALYlVHuT2NraIjY2Fp8+fYKenp7a8/z7b/rQjc/bRkpKilICR1tbW6XX0Nw5czF3ztxsr6Vs2bJKQ5lSUlLQrGkz2NnZYdlPy7LdX6XOD9LrXKZMGaXyy5cuY/Omzdi6favS/w/NmjWDZ3tP7N+/X6k8PDwcx44fQ6vWrRRl8slbP6V8wtVrV9UO+VDH19cX8XHxGPXDKJibm2P6jOnwbO+JmOgY/HbmN5QuXTrX1yn36tUrNGrcSKVc3oPo1ctXqF69uqK8bJn09/r+/fuoVk11IlgiIiIiyh4TFKTeP4cB6acsQ0SSFIgeHAVc+xd4dVq2bIkrV64gICAAv/76K65cuYLAwEBYW1tj48aN8PLyUoo/deqU0rfoYrEYffr0waJFi/KtTu7u7jh9+jTi4uJw5swZ/PXXX/j48aNiu/zbfXWTbVZ0qoj4+HjF64zj3L+UsbExEj8kZh/4lSxYuEDpta+vL5ycnDB71myEhoYqJr9MTk6Grp5qckY+z0FKSorKNtc6rtgfuh8dvTqietXqiIiIwPIVy1XmnsitUqVK4fjJ40plvXr3Qs3qNTFlyhRFgiI5ORkA1CYg5PVOTk7ONEHxISF91ZXP28b6desxaeIkxesqVavg9l+3lWIGDxmstq3s2LEDO3fszPTaRo8ajbt/38WZs2dyPUwHSE+qaWtrq9Q5NDQUZmZm8PDwUFpBxKW2C4yNjXE+7LxSgqJMmTJKyYmMevfpnePkhNzQYUMRExMDv9l+2L9vP2JjY/HrqV9RuXLlXB3nc5n9/hS/35RkpXJzC3MAQEx0TJ7OS0RERPQ9Y4KC1EtUnXhSHdHHnMXlhzp16uDAgQNITU3FX3/9hYMHD2LZsmXw8fHB7du3UaVKFUVsvXr1MH/+fIhEIhgaGqJy5cpq56/Iyrt375SWeTQ2NlZ6OLOxsYGNjQ0AwMfHBwsXLkTLli3x6NEj2NraKuac+HxIAwCEHghFWloa7ty5g6lTpuaqXplJTEz8oq77X9PYcWPh7+ePs2fOKhIUBgYGSP2kOteDPDGR2YSMzVs0R9duXbFj+w7Ucq6FYcOHqY3LK0tLS/Tt1xeLAxcjMjISDg4Oiofoz+chyFjvrB60jU3S21FiYiLMzP5b1cS7szeqVk3vVTFlyhSl9idXvnx5tPBooVJ++fLlTM+3Yf0GbA3ZijVr16Be/XqZxn2J8EfhiI+Ph30Je7XbP5/ENrPlewHAsUzm27IyafIkbNu6DY8fP8ao0aNQp24dSCWq711uGBgYZP371Vf+/crnnsjJ/BZEREREpB4TFKSecfYTTwKAYFQcX/t2XFdXF3Xq1EGdOnVQoUIFDBgwAPv27YOfn58iplixYvDwyP1EgBnVqVMHz58/V7z28/ODv79/pvE+Pj6YMWMGDh8+jGHDhqF8+fLQ1tbGvbuqY9KbNG0CAIphDnkVGRmJ+Ph4lCtXLl+OV1AMDAxgZWWF2NhYRZltCVuEhYWpTC4oXwIys2VB1wWvw47tO+Dh4YEzZ85gzOgxWLV6VYHUu2TJkgDSexE4ODgohnbIh3pk9Pp1+sopmfWeAICKFSsCAO7dvYeGbg2VziM/l4W5BaJjotXunxvX/7iOCeMnYOCggdmuLJIVS0tLSCQSfPjwQWnCV5lMhuLFi2Prtq1q9ytmXUzpdVaJm9z2npCff+CAgXj27BmaN2+ONavXoG69uujq0zXXx8qoRIkSmf5+AaCEXQml8rj3cQAAq2IFP+SNiIiI6FvFBAWpV6UjcHKq6gSZGQja+hAqdfiKlVLl6uoK4L+H2fy0c+dORVd+ACpLk35OHisfumFkZIRmzZrh/PnziIqKQikH1WUx862u/9+1v1Ur9V3nC4sPHz4gOjpaafhNzZo1sXnTZjx48ADVqv83dv+PP/5QbP/c3r17MXbMWAwYOADr1q/DyhUrMXHCRJibm2P+gvn5Xu+nT9JXf5HX297eHtbW1rhx44ZK7PXr19XWOaP27dtjceBi7N69WylBkd/evXuH7r7dUbNmTaxYuSJPx6pYKT2p8vTpU9SoUUNRXrZcWZw5cwYN3Rp+UYIhr8aOGYuf9/6MDZs2oFevXujZoycGDRgEE2MTtPds/8XHrVGzBi5fugyZTKY0UeYff/wBQ0NDVKhQQSn+6bP0NvL5ZK9ERERElHNcxYPUM7AAGk/MMkRoNAEwMP8q1Tl37pza5ftOnDgB4L9vpPOTm5sbPDw8FD/yBEV0dLTaumzcuBHAf0kTAJg9ezakUikG9huodqhHfixJeO7sOSxcsBBlypRBj549st/hK0hJScGHDx9UyhfMXwBBEJTmIOjg1QE6OjpYt26dokwQBGxYtwH29vZo0LCB0jFOnjiJgf0HopN3J6xZuwYAMHrMaMyYOQOBiwKxLCj3E0DKfb48KZC+YkdISAiq16iumLgTSB+OceL4Cbx48UJRdvbMWTx6+AhdfLKeT6ShW0N4eHhg44aNOHLkiNqYvLYNqVSK3j17IzU1FXv37c3TJKwAUL9+fQDAzRs3lcp9fHwglUqxYP4ClX0kEonSsrv5bdbMWVgXvA5Lg5aib9++EIvF2L5jO5o2bYqePXri0sVLX3zszl06482bNzh48KCiLDo6GqH7Q9Hes71KD5lbN27BzMxMMUSHiIiIiHKPPSgoc00mp//34lLlnhTa+unJi0YTgQwrURSk0aNHIykpCd7e3qhUqRJSU1Px+++/Y+/evXB0dMSAAQO+Sj2A9MkIg4OD0alTJ5QtWxYfPnzAr7/+itOnT6NDhw5o3ry5IrZx48ZYvmI5xo0dhyqVqqBHjx6oWKkiUlNT8ejRI+zetRu6urqwtcnZpIW//PILHvz7AFKJFG/evEHYuTD89lv6agWhB0NV5mtYuGAhAOCff/4BkN4rRD5XwfQZ07/o+tesXoO4uDhFr5Vjx44hMjISAPDDqB9gZmaG169fo65rXfh291Ukj06fOo2TJ0+idevWSpOaOjg4YPSY0QhaGgSpVApXV1ccOXwEly5dwtbtWyEWixWxMpkMkyZNQrNmzbBt+zalbX7+foiLi8PcOXPRu09vpV4ad+7cwbGj6Ut7hj9OnzNB/t7UqFEDnh08AQA/TvsRTx4/gXtzd9jZ2eHZs2fYuGEjPn78iKCgIKX3Yeq0qQjdH4pWHq0wavQoJCYmImhpEKpVr4Z+/ftl+z6GbAuBZ3tP+HT2QZs2bdC8RXNYWFjg9evXOHvmLC5evIg2bb58RZL169bj3LlzGDpsKMLCwpS22RS3gUfL3A2BKlu2LKpWq4ozZ86g/4D+ivImTZtgyNAhCFwUiDt/3YFHSw/o6OggPDwcoftDsXTZ0jxPAKvO06dPEbQ0CLNmz8Ko0aMU5bq6utgXug+tW7XG1ClTcfmK8twcx44ew507dwCkr/bz999/K9qCZwdPRe+QLl26YGW9lRgyaAju/3MfxYoVQ3BwMKRSKWb7zVapz29nfkN7z/acg4KIiIgoD5igoMyJREDTKUDdIcDq+oBMArSYDVTxSu9h8ZWSEwCwZMkS7Nu3DydOnMD69euRmpqKUqVKYeTIkZg5c2auJ8DMi0aNGuH333/H7t278ebNG2hra6NixYoICgpSu4zp8BHDUadeHaxasQqhoaF4/fo1dHR0ULZcWfTp0wdDhw/N8dwRc/znAEh/CLO0tES1atWwNGgp+vXvpzQvgJy/n7/S65AtIYp/f2mCYlnQMqW5OQ4dPIRDBw8BAHr26gkzMzOYm5ujXft2OPPbGWzfth1SqRTlypfDvPnzMGHiBKUu8wCwMGAhzM3MsWnTJmzbug3lncojZFuI0uoPQPoyoIcOH4K9vb3aHgFBy4IwYOAApeQEANy+dVvlvZC/7tO3jyJB4dHSAxuebEDw2mC8f/8e5ubmaNS4EaZPnw5nF2el/UuWLInfzv6GKZOmYMb0GdDV1UXbdm0RuDgwy/kn5IoXL44LFy9gw/oN2PfzPsyfNx9JSUkoVqwYXGq7YOv2rejWrVu2x8mMvDfI+nXrsX7deqVtTZo0yXWCAgD69++POf5zkJycrDScY/Wa1XBxccGGDRswa+YsaGtro7RjafTo2QMNGxbMEJYyZcrg8pXLqFWrlso2IyMjHDp0CEnJSSrbDh48iO3btite3751G7dv3QaQniyTJyjEYjGOHDuCaVOnYfWq1UhOToarqys2bdqk0mPrwYMHuHf3HpYuXZp/F0hERET0HRIJ+dHHnArcvXv3UK1aNdy9e1dtF+InT54AyH6ehC+2+v9n/v/hmqJIJpNBKpVCLBarPHDSfyQyCSQyCcQicfbB3zGpRAqxNt+jwiw+Ph4VnSoi4H8BGDDw6/Va+hJfsz1NnDARFy9exLU/rmXZg+L5s+dIk6bB2qFwr7ZD/5FIJEh4nwBTC9N8m9SYvl9sT9l7GfUS82fMh98CP1R14pC5zKSlpSEmJgZWVlbQ0dHRdHWoiLt9+zacnZ0zfc782vjXkdRb/dlShLFPVMpFADD0y8d4E1HRYmZmhomTJmLp0vReO0xMAjExMdi8aTN27d7F4R1ERF9o3vR5AIA0SRoAYM3yNdDT1VMZXklE3z4mKChnLAuoZwYRFSmTp0zG5CmTNV2NQsPKygrv499ruhpERN8ELS0tGBkbMQFO9B1jgoLUyzCUIzOCTAZIpV+hMkRERET0rZq1cJbi33EpcbAysIKFgYUGa0REmsL0JBERERERERFpHBMURERERERERKRxTFAQERF9DVwzi4iIiChLTFB8I0QiESQSCbhqLBFR4SMIAiRSCURaXOmDiIiIKDNMUHwjjI2NIZVK8erVK0gkEk1Xh4iI/p8gCIh+Fw2pVAodXa5XT0RERJQZruLxjbCwsEBSUhLi4+MRHx8PbW1taGlpQSQquG/rBEGAIAgQiUQFep6iTibIFO8TZU6QCfx2mfJNoWlPAiCRSiCVSqGtqw0TSxNN14iIiIio0GKC4huhra2NUqVK4cOHD0hISEBaWlqBD/cQBAGpqanQ1dXlw3cWJDIJUqWp0NHiN6eZEQQBaalp0NHVYVuiPCts7UkkFkHfQB8mlibQ0mLHRSIiIqLMMEHxDRGJRDA1NYWpqelXOV9aWhpiYmJgZWUFHR0+fGfmffJ7xCTHwFzfXNNVKbQkEgkS3ifA1MIU2tr8s0R5w/ZEREREVDTxqxwiIiIiIiIi0jgmKIiIiIiIiIhI45igICIiIiIiIiKNY4KCiIiIiIiIiDSOCQoiIiIiIiIi0jgmKIiIiIiIiIhI47j+WhHx6dMnAEB4eLiGa/KftLQ0xMfHw8zMjMuMZiE+JR6xybEQa4k1XZVCSyqRIiUxBfrG+hBr832ivGF7ovzCtkT5ie0pZ6QyKSwNLGGmb6bpqhRavAen/PT48WMA/z1vahoTFEXEixcvAACdOnXSbEWIiIiIiIjom/L333/DxcVF09VggqKoaNq0KQ4dOoSSJUtCT09P09UBkN6bo1OnTjh06BDKly+v6epQEca2RPmJ7YnyC9sS5Se2J8ovbEuUn/755x9069YNFSpU0HRVADBBUWSYm5ujY8eOmq6GWuXLl0fVqlU1XQ36BrAtUX5ie6L8wrZE+YntifIL2xLlJ1NTU01XAQAnySQiIiIiIiKiQoAJCiIiIiIiIiLSOCYoiIiIiIiIiEjjmKCgL2ZtbQ0/Pz9YW1truipUxLEtUX5ie6L8wrZE+YntifIL2xLlp8LWnkSCIAiargQRERERERERfd/Yg4KIiIiIiIiINI4JCiIiIiIiIiLSOCYoiIiIiIiIiEjjmKAgIiIiIiIiIo1jgoKIiIiIiIiINI4Jiu/E//73P/j6+sLJyQlaWlrQ1tbOdp/w8HAMGDAADg4O0NPTg42NDVq1aoUbN26oxD5//hw9e/aEtbU1DAwMUKtWLWzcuDHTY1+4cAHNmzeHiYkJTExM0Lx5c1y8eDFP10hfT27b09OnTzFkyBCUL18eBgYGsLOzQ+vWrXHixAm18WxP349Hjx7B398fbm5usLW1hZGREapUqYIxY8bg1atXKvESiQSLFi1CxYoVoaenBzs7O4wYMQIxMTFqjx8TE4MRI0bAzs4Oenp6qFixIgIDAyGRSNTG37lzBx06dICFhQWMjIxQv359HDp0KD8vmQpIbtrS+fPnMXr0aNSsWRPm5uYwNzdH7dq1ERQUhOTkZLXHZ1v6vuT2b1NGL1++hLm5OUQiEebPn682hp9z348vaUu8B6fM5LY9Fcl7cIG+CwAEc3Nzwd3dXbC1tRXEYnGW8WfPnhWMjIyEChUqCHPnzhU2b94sLFmyROjZs6dw9OhRpdgXL14Itra2goGBgfDjjz8K69evF9q3by8AEPz9/VWO/csvvwja2tpC6dKlhcWLFwsrVqwQqlWrJmhrawunT5/O1+umgpGb9vT06VPB3NxcMDc3F6ZMmSJs3LhRWLBggVC2bFkBgLBhwwaleLan78vUqVMFIyMjoXv37sJPP/0krFu3ThgwYIAgFosFCwsL4f79+0rxvXv3FgAInp6ewvr164Uff/xRMDAwEKpVqyYkJiYqxSYkJAhVqlQRxGKxMHr0aGHDhg1Cnz59BABC//79Vepy+/ZtwdjYWLCyshLmzZsnrF27VnBzcxMACFu2bCnIt4HyQW7aUr169YQSJUoII0eOFIKDg4UVK1YILVq0EAAILi4uQnJystKx2Za+P7n925SRl5eXYGxsLAAQ5s2bp7Kdn3Pfl9y2Jd6DU1Zy056K6j04ExTfifDwcMW/mzZtmuUDZXR0tGBtbS00b95c5SZNHflNWmhoqFJ5hw4dBG1tbeHx48eKMolEIjg6OgpGRkbC8+fPFeVxcXGCvb29UL58eUEqlebm0kgDctOeZsyYIQBQ+VB98+aNoK2tLbi6uiqVsz19X65fvy68f/9epXzdunUCAKFr166KsjNnzggABC8vL6XY/fv3CwCEOXPmKJXPmjVLACAsXbpUqXzUqFECAOH8+fNK5Y0bNxZEIpFw/fp1RVlqaqrg7OwsmJubC/Hx8V96mfQV5KYtnTt3TkhLS1OJ7dGjhwBAWL16tVI529L3JzftKaPdu3cLYrFYWLp0aaYJCn7OfV9y05Z4D07ZyU17Kqr34ExQfIeye6CcP3++AEC4deuWIAiCkJycLKSkpKiN/fjxo2BgYCCUKVNGZdu5c+dUPpzlZeq+cfLz8xMACBcvXszlFZEmZdee5DfwN27cUCqXSCSCsbGx0KRJE0UZ2xPJxcfHCwCEihUrKsr69esnABDCwsJU4h0dHYVy5coplZUuXVowNDQUkpKSlMqfPn0qABAGDRqkUtasWTOVY2/ZskUAIGzfvj2vl0UaoK4tZebw4cMCAGHYsGFK5WxLJJdVe3r37p1gbW0tTJgwQe1nliDwc47+o64t8R6cvpS69lRU78E5BwWpOH78OExMTJCcnIy6devCwMAA+vr6qFGjBkJDQ5Vi//77byQnJ6NBgwYqx2nQoAFEIhH++OMPRdm1a9cAAA0bNlSJl5dljKeir3Xr1gCA4cOHIywsDFFRUbh58yZ69eoFiUSCWbNmKWLZnkguKioKAGBjY6Mou3btGrS0tFC/fn2V+AYNGuDx48eIjY0FALx58wbPnz9HrVq1YGBgoBTr6OiIEiVKsC19J9S1pdzEsi1RRlm1p7Fjx8LIyAhz587NdH9+zpGcurbEe3D6UuraU1G9B2eCglTcv38fUqkULVu2hJOTE/bt24dVq1YhOjoaPj4+2LlzpyI2MjISAODg4KByHD09PRQrVkwRk128vCxjPBV9np6eCAoKwuPHj+Hu7g4HBwfUrl0bv//+O86fPw8PDw9FLNsTyck/NAcMGKAoi4yMRLFixaCnp6cS//nvO6u2IS9nW/o+qGtL6nz48AGBgYHQ0dFBr169FOVsS5RRZu3pxIkT2LVrF9auXQsjI6NM9+fnHMmpa0u8B6cvpa49FdV78OyXcqDvzocPHyCVStGjRw+lP4QeHh6oVq0apk6dip49e0IkEiEpKQkA1D4wAIC+vr4iBkCW8fr6+kox9O0oUaIEqlatihYtWqBWrVqIiorC0qVL0b59e5w6dQrOzs4Asm4fANvT92LhwoUIDQ1Fp06d0K9fP0V5UlISLCws1O7z+e+bbYmAzNvS5yQSCXx9ffHs2TMsW7YMFSpUUGxjWyK5zNpTQkIChg0bhh49eqBNmzZZHoPtiYDM2xLvwelLZPVZVxTvwZmgIBUGBgZITExU+XagYsWKaNiwIS5cuIB///0XlSpVgqGhIQDg06dPao+VkpKCYsWKKV5nFZ+SkqIUQ9+G4OBgjBgxAidPnlS6cevcuTMqVaqEYcOGKbqAsT3R8uXLMWPGDDRr1gw7d+6ESCRSbDM0NMyybchjMv43q/iMbYNt6duTVVvKSCKRoGfPnjh58iSmTJmCcePGKW1nWyIg6/Y0ZcoUJCUl4aeffsr2OPyco6zaEu/BKbeyak9F9R6cQzxIRcmSJQGkZ9w+Jy+Tj/POqgvPp0+fEB0drdT1J6v47LrRUtEUGBgIExMTlW+VbG1t0bhxY1y/fh0fP34EwPb0vQsKCsK4cePQokULHD9+XOWDzcHBAdHR0Wo/DD//fWfXvTAyMpJt6RuWXVuSS0tLQ/fu3bFv3z78+OOPWLRokUoM2xJl1Z5u3ryJ9evX44cffkBCQgLCw8MRHh6uGA8eGxuL8PBwJCQkAODn3Pcuu79NvAen3MiuPRXVe3AmKEiFfAK6Fy9eqGyTl8knYKlevTr09fVx5coVldirV69CEATUrVtXUSb/t7p4eVnGeCr6oqKiIJPJIAiCyjaJRKL0X7an79eiRYswceJEtGnTBseOHVP7QFm3bl3IZDLFxEwZXblyBeXKlYOlpSWA9L9RpUqVwu3bt5GcnKwU+/z5c7x69Ypt6RuVk7YEAKmpqejatStCQ0Ph5+eHhQsXqo1jW/q+ZdeeIiIiIAgC5s2bBycnJ8VP7969AQDLli2Dk5MTdu3aBYCfc9+znPxt4j045VRO2lORvQf/orU/qEjLblnIsLAwAYDg6ekpyGQyRfmNGzcEkUgkVKpUSSm+V69eWa6ZGx4eriiTSCRC6dKlBSMjIyEiIkJRHh8fLzg4OAhly5blGsxFTHbtydnZWQAg7N27V6n8yZMngqGhocpSbWxP358FCxYo/uZktpyaIAjC6dOnBQCCl5eXUnloaKgAQPD391cql6//vXTpUqXy0aNHq12u1M3NTRCJRMKff/6pKEtLSxNcXFwEMzMzIS4u7ksvkb6SnLalT58+CZ6engIAYcGCBdkel23p+5ST9hQVFSXs27dP5cff318AIHTv3l3Yt2+f8PjxY8U+/Jz7/uT0bxPvwSknctqeiuo9uEgQ1KRU6Juzfft2PH/+HACwadMmREREYM6cOYrtM2fOVIofPHgwNm3ahJYtW6Jjx4548+YNVq5ciaSkJPzyyy9wd3dXxEZERKBu3br48OEDxo0bhzJlyuDw4cM4duwYZs2apbLc1okTJ+Dl5QUHBweMGTMGurq6WLduHR48eIDjx4+jVatWBfhOUH7ITXs6evQoOnXqBLFYjMGDB6NWrVqIjIzE2rVrERsbiwMHDqBjx46KeLan78vq1asxatQo2NjYICAgADo6OkrbjY2N0alTJ8Xrnj17Yvfu3fD09ETHjh3x9OlTLFu2DGXKlMG1a9dgbGysiE1ISEDdunURHh6OkSNHombNmjh//jy2b9+OPn36YNu2bUrnunnzJpo0aQJ9fX2MHz8exYoVw/bt23H58mVs2rQJAwcOLND3gvImN22pa9eu2L9/P9zc3DB8+HCVY5UrV05pqTW2pe9Pbv82fS4sLAzu7u6YN2+eyj0WP+e+L7ltS7wHp6zkpj0V2XvwL0prUJHTtGlTAUCmP5+TSCTCTz/9JFSrVk3Q09MTzMzMhPbt2wt//PGH2uM/efJE6N69u2BlZSXo6ekJ1atXF9atW5dpfc6ePSs0a9ZMMDIyEoyMjIRmzZqpfANFhVdu29P58+cFT09PoVixYoJYLBYsLCyEtm3bZvo7Z3v6fvTr1y/LtlS6dGml+NTUVGHhwoWCk5OToKurK9ja2gpDhw4V3r17p/b4b9++FYYOHSrY2toKurq6gpOTkxAQECCkpaWpjb99+7bQvn17wczMTDAwMBDq1q2r8k0CFU65aUulS5fOMrZfv34qx2db+r7k9m/T586dOycAEObNm6d2Oz/nvh+5bUu8B6es5LY9FcV7cPagICIiIiIiIiKN4ySZRERERERERKRxTFAQERERERERkcYxQUFEREREREREGscEBRERERERERFpHBMURERERERERKRxTFAQERERERERkcYxQUFEREREREREGscEBRERERERERFpHBMURERERERERKRxTFAQERERERERkcYxQUFEREREREREGscEBREREX01z549g0gkQv/+/b/KfnmlqfNmlJKSgqFDh8LS0hKdOnXSWD2IiIgKGhMURERE3zGRSASRSAQtLS08fvw40zh3d3dFbEhISL7XozAkAgqrBQsWYN++fRg0aBAOHz4MiUSi6SoREREVCCYoiIiIvnPa2toQBAGbNm1Su/3Ro0cICwuDtrb2V67Zf+zt7XH//n0EBARorA6aIJFIEBwcjBEjRsDS0hLGxsYa/T0QEREVJCYoiIiIvnM2NjZwdXXFli1b1H47v3HjRgBAhw4dvnbVFHR0dFCpUiWUKFFCY3XQhLCwMERHR6N79+64efMmnJycNF0lIiKiAsMEBREREWHIkCF4/fo1jh07plSelpaGkJAQNGzYEFWqVFHZLywsDCKRCP7+/mqP6+joCEdHxyzP7e/vjzJlygAAtm7dqhhKknE4ibohIBnLHjx4gE6dOsHS0hJGRkZo1KgRTp06lek5f/75ZzRp0gRmZmYwMDBA9erVERAQgE+fPmVZ189du3YNPj4+sLW1ha6uLkqWLIlhw4bh5cuXuTpOZn755RfY2tqievXquHDhApo3b54vxyUiIiqMmKAgIiIi9OjRA0ZGRoreEnJHjhzB27dvMWTIkAI7d7NmzTB27FgAQM2aNeHn56f4qVWrVrb7P336FA0aNEBsbCyGDRuGrl274saNG2jbti327t2rEj99+nT4+vri/v376NmzJ0aNGgVBEDB9+nS0bt0aqampOar35s2b4ebmhpMnT8Ld3R3jxo2Dq6srNm7cCFdXV0REROTqfVDn3LlzcHNzw7Vr1/D27Vt4enrm+ZhERESFFQcxEhEREUxMTNC9e3eEhIQgMjISDg4OAIANGzbA1NQU3bp1w8KFCwvk3M2aNYOjoyOWL1+OWrVqZdobIzMXLlzApEmTsHjxYkXZqFGj0KBBAwwfPhxt27aFqakpAODKlSsICAhAyZIl8ccff8DW1hYAEBAQAG9vbxw7dgxLlizB9OnTszznw4cPMXz4cDg6OuL8+fOwt7dXbDtz5gxatWqFsWPH4uDBg7m6low+fvyIv/76C127dsXOnTtRrlw5NG3a9IuPR0REVNixBwUREREBSB/mIZVKsXnzZgDA8+fPcfr0afTq1QuGhoYarl3mzMzMMHv2bKUyV1dX9OrVC3FxcUpJAvm1zZw5U5GcANInCl26dCm0tLRUepGos3btWqSlpWH58uVKyQkAaNGiBby8vHD06FF8+PDhi6/r1q1bkEqlcHR0xLZt2zB8+HCIRKIvPh4REVFhxx4UREREBACoV68eqlevjs2bN2PmzJnYuHEjZDJZgQ7vyA8uLi4wMTFRKW/WrBm2bt2KW7duoV+/fgCAmzdvAoDauRwqVKgABwcHPH36FPHx8TAzM8v0nFeuXAEAnD9/HtevX1fZ/vbtW0ilUjx8+BC1a9f+ouu6d+8egPR5PnR1dTFixIgvOg4REVFRwQQFERERKQwZMgRjxozByZMnsWXLFtSuXRvOzs6arlaWbGxs1JbLe0jEx8cryuT/zmw1kBIlSiAiIgJxcXFZJihiYmIAQGlYiTqJiYlZbs/Kq1evIBKJsG/fPkyZMgVGRkZffCwiIqKigEM8iIiISKFPnz4wMDDA8OHDERUVhaFDh2YZr6WVfiuhbnlSAIiLi8vvKqp48+aN2vLXr18DgFKiQf5v+bbPvXr1SmUfdeTb4+PjIQhCpj95mTMiJSUFgiDAzMxMMYkoERHRt4wJCiIiIlIwNzeHj48PIiMjYWRkhB49emQZb2FhAQB48eKFyrbw8HCl3gtZEYvFAACpVJrLGqcP21A310NYWBgAKPUAkf9bvi2j8PBwREZGokyZMjA3N8/ynPXr1wcAXLx4Mdf1zSn5sJVly5ZBX1+/wM5DRERUWDBBQURERErmz5+PgwcP4tdff1U7t0NGlSpVgqmpKQ4fPoy3b98qypOTkzFmzJgcn9PCwgIikeiLluaMj4/H3Llzlcr+/PNP7Ny5E2ZmZvD29laUDxw4EED6Nb57905RLpVKMWnSJMhkMgwaNCjbc44aNQo6OjoYP348Hj58qLI9NTU1T8kLmUyGI0eOQCQSoUmTJgDSe1TkZcgIERFRYcc5KIiIiEhJqVKlUKpUqRzF6ujoYOzYsZg3bx6cnZ3h7e0NiUSC06dPw87ODnZ2djk6jrGxMerVq4eLFy+iV69eqFChAsRiMby8vFCjRo0s923SpAk2btyIa9euwc3NDa9evcLevXshk8mwbt06xRKjANCwYUNMmTIFgYGBqFatGnx8fGBkZISTJ0/i7t27aNSoESZPnpxtfStVqoTNmzdj4MCBqFq1Ktq0aYMKFSogLS0NERERuHjxIqytrfHgwYMcXf/nVq5cifv370NXVxerVq3C4MGD0bRpU0ycOBHDhg37omMSEREVdkxQEBERUZ7MmTMHhoaG2LBhA9avXw9bW1t0794d/v7+qFKlSo6Ps337dowfPx6//PILdu/eDUEQ4ODgkG2CokyZMggODsa0adMQHByMT58+wcXFBbNnz0br1q1V4hctWgRnZ2esWrUK27ZtQ1paGsqVK4f58+dj4sSJ0NXVzVF9e/fujZo1a2Lp0qU4d+4cTp06BSMjI9jZ2cHHxwe+vr45vvaMEhISEBYWhvXr10MikWDy5MlYs2YNZs2axeQEERF900SCIAiargQRERFRbj179gxlypRBv379EBISounqEBERUR5xDgoiIiIiIiIi0jgmKIiIiIiIiIhI45igICIiIiIiIiKN4xwURERERERERKRx7EFBRERERERERBrHBAURERERERERaRwTFERERERERESkcUxQEBEREREREZHGMUFBRERERERERBrHBAURERERERERaRwTFERERERERESkcUxQEBEREREREZHGMUFBRERERERERBrHBAURERERERERaRwTFERERERERESkcUxQEBEREREREZHGMUFBRERERERERBr3f2nJuVdLqX40AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 4))\n", "\n", "# Planck points in overlap range (error bars ×10 for visibility)\n", "mask_pl = pl[\"ell\"] >= 1600\n", "ax.errorbar(\n", " pl[\"ell\"][mask_pl], pl[\"Dl\"][mask_pl],\n", " yerr=[10 * pl[\"err_lo\"][mask_pl], 10 * pl[\"err_hi\"][mask_pl]],\n", " fmt=\"s\", ms=4, color=\"#555555\", elinewidth=0.8, capsize=2,\n", " label=\"Planck PR3 TT (2018) (err ×10)\",\n", ")\n", "ax.plot(pl[\"ell\"][mask_pl], pl[\"bestfit\"][mask_pl],\n", " color=\"royalblue\", lw=1.2, ls=\"--\", label=\"Planck best-fit ΛCDM\")\n", "\n", "# SPT-3G D1 low-ell portion (error bars ×10 for visibility)\n", "mask_spt = d150[\"ell\"] <= 2700\n", "ax.errorbar(\n", " d150[\"ell\"][mask_spt], d150[\"Dl\"][mask_spt],\n", " yerr=10 * d150[\"sigmaDl\"][mask_spt],\n", " fmt=\"o\", ms=5, color=\"#ff7f0e\", elinewidth=1.0, capsize=3,\n", " label=\"SPT-3G D1 150×150 GHz (err ×10)\",\n", ")\n", "\n", "ax.axvspan(1700, 2500, alpha=0.08, color=\"green\", label=\"Overlap window\")\n", "ax.set_xlabel(r\"Multipole $\\ell$\", fontsize=12)\n", "ax.set_ylabel(r\"$D_\\ell\\;[\\mu\\mathrm{K}^2]$\", fontsize=12)\n", "ax.set_title(\"Overlap region: Planck PR3 vs. SPT-3G D1 (150×150 GHz)\", fontsize=12)\n", "ax.set_xlim(1550, 2800)\n", "ax.legend(fontsize=10)\n", "plt.tight_layout()\n", "plt.savefig(\"spt3g_d1_planck_overlap.png\", bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ac3baa19", "metadata": {}, "source": [ "## 6. Multi-frequency view: foreground separation by frequency\n", "\n", "A key advantage of SPT-3G D1 is the simultaneous measurement at three\n", "frequencies. The plot below overlays all six spectra on a single panel\n", "to illustrate frequency-dependent behaviour:\n", "\n", "* **tSZ imprint:** the tSZ effect *decreases* the temperature at 95 and\n", " 150 GHz (relative to the CIB) and has a spectral null at ~217 GHz.\n", " The 150×150 spectrum is most suppressed relative to 220×220 near ℓ ≈ 3000.\n", "* **CIB rise:** The CIB has a steep, rising spectrum, making the 220 GHz\n", " channels the most CIB-dominated at high ℓ.\n", "* **Radio galaxies:** They appear brightest at 95 GHz and their power\n", " remains relatively flat or slightly rising toward low ℓ within the SPT range.\n", "\n", "These frequency dependencies allow the SPT-3G collaboration to fit for the\n", "individual foreground components and extract, e.g., the tSZ amplitude\n", "$D^{\\mathrm{tSZ}}_{3000}$ and kSZ amplitude $D^{\\mathrm{kSZ}}_{3000}$." ] }, { "cell_type": "code", "execution_count": 9, "id": "4671cb25", "metadata": { "execution": { "iopub.execute_input": "2026-04-22T00:19:22.966446Z", "iopub.status.busy": "2026-04-22T00:19:22.966233Z", "iopub.status.idle": "2026-04-22T00:19:23.578829Z", "shell.execute_reply": "2026-04-22T00:19:23.577796Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(11, 5))\n", "\n", "for name in FREQS:\n", " d = spt[name]\n", " ax.errorbar(\n", " d[\"ell\"], d[\"Dl\"], yerr=10 * d[\"sigmaDl\"],\n", " fmt=\"o-\", ms=3, lw=0.8, color=palette[name],\n", " elinewidth=0.5, capsize=1, label=f\"{name} GHz\",\n", " )\n", "\n", "# Show where tSZ roughly creates its minimum in the 150×150 spectrum\n", "ax.axvline(3000, color=\"grey\", ls=\":\", lw=1)\n", "ax.text(3100, 8, r\"$\\ell = 3000$\", fontsize=9, color=\"grey\")\n", "\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(r\"Multipole $\\ell$\", fontsize=13)\n", "ax.set_ylabel(r\"$D_\\ell\\;[\\mu\\mathrm{K}^2]$\", fontsize=13)\n", "ax.set_title(\n", " \"SPT-3G D1: all six frequency spectra — foreground separation by colour\\n(error bars ×10 for visibility)\",\n", " fontsize=12,\n", ")\n", "ax.set_xlim(1500, 11500)\n", "ax.legend(ncol=2, fontsize=10)\n", "plt.tight_layout()\n", "plt.savefig(\"spt3g_d1_all_spectra_overlay.png\", bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b0eafc53", "metadata": {}, "source": [ "## 7. Key results from the paper\n", "\n", "Chaubal et al. (2026) use these spectra to constrain the amplitudes of\n", "the secondary signal components. Selected highlights:\n", "\n", "| Parameter | Value | Notes |\n", "|-----------|-------|-------|\n", "| $D^{\\mathrm{tSZ}}_{3000}$ | $4.91 \\pm 0.37\\;\\mu\\mathrm{K}^2$ | Thermal SZ at 143 GHz |\n", "| $D^{\\mathrm{kSZ}}_{3000}$ | $1.75 \\pm 0.86\\;\\mu\\mathrm{K}^2$ | Kinematic SZ |\n", "| Duration of reionization $\\Delta_{50}z_{\\rm re}$ | $< 3.8$ (95%) | From kSZ |\n", "| Duration of reionization $\\Delta_{90}z_{\\rm re}$ | $< 6.1$ (95%) | AMBER simulations |\n", "\n", "The kSZ power provides the most constraining current bounds on the\n", "epoch and duration of reionization from the small-scale CMB power spectrum.\n", "\n", "## 8. Summary\n", "\n", "This notebook demonstrated how to:\n", "\n", "1. **Download** and **parse** the SPT-3G D1 band-power file from the UChicago\n", " public data archive and the Planck Legacy Archive (IRSA mirror).\n", "2. **Compare** the high-resolution SPT-3G spectra with the Planck 2018 PR3\n", " measurements in the overlap multipole range $1700 \\lesssim \\ell \\lesssim 2500$.\n", "3. **Visualise** the frequency-dependent foreground signatures (tSZ minimum,\n", " CIB rise) that allow SPT-3G D1 to separate astrophysical components.\n", "\n", "Together, Planck (primary CMB, large scales) and SPT-3G D1 (secondary CMB,\n", "small scales) map the CMB temperature power spectrum across nearly four\n", "decades in angular scale, from the Sachs–Wolfe plateau at $\\ell \\sim 2$ to\n", "the Poisson-noise floor of extragalactic sources at $\\ell \\sim 10{,}000$.\n", "\n", "## References\n", "\n", "* **Chaubal P. et al. (2026)**: *SPT-3G D1: A Measurement of Secondary Cosmic\n", " Microwave Background Anisotropy Power*, arXiv:2601.20551,\n", " submitted to JCAP.\n", " Data: \n", " (mirrored at LAMBDA: )\n", "\n", "* **Planck Collaboration V (2020)**: *Planck 2018 results. V. Power spectra and\n", " likelihoods*, A&A 641, A5.\n", " DOI: .\n", " Data: Planck Legacy Archive (IRSA).\n", "\n", "* **Sunyaev & Zel'dovich (1972)**: *The Observations of Relic Radiation as a\n", " Test of the Nature of X-Ray Radiation from the Clusters of Galaxies*,\n", " Comm. Astrophys. Space Phys. 4, 173." ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }