{ "cells": [ { "cell_type": "markdown", "id": "2254839c", "metadata": {}, "source": [ "# Tutorial 6: Stellar populations\n", "\n", "Everything a semi-analytic model knows about stars enters through a small\n", "set of `functionClass` families: the initial mass function (IMF), stellar\n", "astrophysics (lifetimes, remnant and ejected masses, yields), and the\n", "supernova rates built on top of them. All are driven directly from Python\n", "here.\n", "\n", "This tutorial needs the Galacticus *datasets* (the stellar-properties\n", "compilation) — see the setup cell." ] }, { "cell_type": "code", "execution_count": 1, "id": "34837fc3", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:02.306748Z", "iopub.status.busy": "2026-07-05T19:40:02.306545Z", "iopub.status.idle": "2026-07-05T19:40:02.514284Z", "shell.execute_reply": "2026-07-05T19:40:02.512796Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Galacticus library interface loaded.\n" ] } ], "source": [ "import os, sys\n", "\n", "# Locate the Galacticus library interface (see Tutorial 1 for details).\n", "root = os.environ.get('GALACTICUS_LIBRARY_PATH',\n", " os.path.abspath(os.path.join(os.getcwd(), os.pardir)))\n", "os.chdir(root) # galacticus.py loads galacticus/lib/libgalacticus.so relative to here\n", "for candidate in (root, os.path.join(root, 'galacticus', 'python')):\n", " if os.path.exists(os.path.join(candidate, 'galacticus.py')):\n", " sys.path.insert(0, candidate)\n", " break\n", "else:\n", " raise RuntimeError(f\"galacticus.py not found under {root} - build the library \"\n", " \"(make GALACTICUS_BUILD_OPTION=lib libgalacticus.so) or set \"\n", " \"GALACTICUS_LIBRARY_PATH\")\n", "\n", "# This tutorial also reads Galacticus's static datasets (the stellar\n", "# properties compilation): clone https://github.com/galacticusorg/datasets\n", "# and point GALACTICUS_DATA_PATH at it.\n", "if 'GALACTICUS_DATA_PATH' not in os.environ:\n", " raise RuntimeError(\"set GALACTICUS_DATA_PATH to a clone of \"\n", " \"https://github.com/galacticusorg/datasets\")\n", "\n", "import numpy as np\n", "if not hasattr(np, 'trapezoid'): # np.trapezoid is NumPy >= 2.0;\n", " np.trapezoid = np.trapz # fall back to the pre-2.0 name.\n", "import matplotlib.pyplot as plt\n", "import galacticus\n", "print(\"Galacticus library interface loaded.\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "a4b456ab", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:02.517795Z", "iopub.status.busy": "2026-07-05T19:40:02.517662Z", "iopub.status.idle": "2026-07-05T19:40:02.522220Z", "shell.execute_reply": "2026-07-05T19:40:02.520775Z" } }, "outputs": [], "source": [ "plt.rcParams.update({'figure.figsize': (7.0, 4.5), 'font.size': 11,\n", " 'axes.grid': True, 'grid.alpha': 0.3})" ] }, { "cell_type": "markdown", "id": "407f0424", "metadata": {}, "source": [ "## Initial mass functions\n", "\n", "`phi(m)` returns $\\phi(m) = \\mathrm{d}N/\\mathrm{d}m$ per unit stellar\n", "mass formed — each IMF is normalized so $\\int m\\,\\phi(m)\\,\\mathrm{d}m\n", "= 1$. We compare the three classics; the Chabrier (2001) parameters shown\n", "are Galacticus's defaults (lognormal below $1\\,M_\\odot$, power law\n", "above)." ] }, { "cell_type": "code", "execution_count": 3, "id": "54531d1a", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:02.524731Z", "iopub.status.busy": "2026-07-05T19:40:02.524648Z", "iopub.status.idle": "2026-07-05T19:40:02.739319Z", "shell.execute_reply": "2026-07-05T19:40:02.738482Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Salpeter 1955 : integral of m*phi(m) dm = 1.0000\n", "Kroupa 2001 : integral of m*phi(m) dm = 1.0000\n", "Chabrier 2001 : integral of m*phi(m) dm = 1.0000\n" ] } ], "source": [ "imfSalpeter = galacticus.initialMassFunctionSalpeter1955()\n", "imfKroupa = galacticus.initialMassFunctionKroupa2001()\n", "imfChabrier = galacticus.initialMassFunctionChabrier2001(\n", " massLower=0.1, massTransition=1.0, massUpper=125.0,\n", " exponent=-2.3, massCharacteristic=0.08, sigma=0.69)\n", "imfs = (('Salpeter 1955', imfSalpeter), ('Kroupa 2001', imfKroupa),\n", " ('Chabrier 2001', imfChabrier))\n", "\n", "masses = np.logspace(-1, np.log10(124.0), 300)\n", "for label, imf in imfs:\n", " plt.loglog(masses, [imf.phi(m) for m in masses], label=label)\n", "plt.xlabel('stellar mass $m$ [$M_\\\\odot$]')\n", "plt.ylabel('$\\\\phi(m)$ [$M_\\\\odot^{-1}$ per $M_\\\\odot$ formed]')\n", "plt.legend(); plt.title('Initial mass functions')\n", "plt.show()\n", "\n", "# Verify the unit mass normalization by direct integration of phi.\n", "for label, imf in imfs:\n", " grid = np.logspace(np.log10(imf.massMinimum()), np.log10(imf.massMaximum()), 8001)\n", " norm = np.trapezoid([m*imf.phi(m) for m in grid], grid)\n", " print(f\"{label:14s}: integral of m*phi(m) dm = {norm:.4f}\")" ] }, { "cell_type": "markdown", "id": "074a2a4f", "metadata": {}, "source": [ "Astrophysically the differences live at the extremes: Salpeter's unbroken\n", "power law puts far more mass into (invisible, long-lived) low-mass stars,\n", "while the turned-over IMFs put relatively more into the massive stars\n", "that drive supernova feedback. `numberCumulative` integrates the count —\n", "here, core-collapse supernova progenitors ($8$–$125\\,M_\\odot$) per solar\n", "mass of stars formed:" ] }, { "cell_type": "code", "execution_count": 4, "id": "f858b31a", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:02.741645Z", "iopub.status.busy": "2026-07-05T19:40:02.741559Z", "iopub.status.idle": "2026-07-05T19:40:02.744564Z", "shell.execute_reply": "2026-07-05T19:40:02.743602Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Salpeter 1955 : 0.00743 SN II progenitors per Msun formed\n", "Kroupa 2001 : 0.00761 SN II progenitors per Msun formed\n", "Chabrier 2001 : 0.01179 SN II progenitors per Msun formed\n" ] } ], "source": [ "for label, imf in imfs:\n", " print(f\"{label:14s}: {imf.numberCumulative(8.0, 125.0):.5f} SN II progenitors per Msun formed\")" ] }, { "cell_type": "markdown", "id": "00a87d78", "metadata": {}, "source": [ "## Stellar astrophysics: lifetimes, remnants and yields\n", "\n", "`stellarAstrophysicsFile` interpolates the standard compilation of\n", "stellar-evolution models shipped with Galacticus (the\n", "`%DATASTATICPATH%` token expands to the static datasets path). Three\n", "textbook results in three plots: the steep lifetime-mass relation and its\n", "weak metallicity dependence, the main-sequence turnoff mass as a clock,\n", "and how much of a star's mass is returned to the interstellar medium." ] }, { "cell_type": "code", "execution_count": 5, "id": "5edf163e", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:02.746643Z", "iopub.status.busy": "2026-07-05T19:40:02.746561Z", "iopub.status.idle": "2026-07-05T19:40:03.184030Z", "shell.execute_reply": "2026-07-05T19:40:03.183129Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Solar-mass, solar-metallicity lifetime: 10.3 Gyr\n" ] } ], "source": [ "stellarAstrophysics = galacticus.stellarAstrophysicsFile(\n", " \"%DATASTATICPATH%/stellarAstrophysics/stellarPropertiesCompilationStandard.xml\")\n", "\n", "massGrid = np.logspace(0.0, 2.0, 60)\n", "fig, axes = plt.subplots(1, 2, figsize=(11.5, 4.3))\n", "for Z, color in ((0.0004, 'C0'), (0.004, 'C1'), (0.02, 'C2')):\n", " axes[0].loglog(massGrid, [stellarAstrophysics.lifetime(m, Z) for m in massGrid],\n", " color=color, label=f'$Z={Z}$')\n", "axes[0].set_xlabel('initial mass [$M_\\\\odot$]'); axes[0].set_ylabel('lifetime [Gyr]')\n", "axes[0].legend(); axes[0].set_title('Stellar lifetimes')\n", "\n", "ages = np.logspace(-2.5, 1.1, 60)\n", "axes[1].loglog(ages, [stellarAstrophysics.massInitial(age, 0.02) for age in ages], color='C2')\n", "axes[1].set_xlabel('population age [Gyr]'); axes[1].set_ylabel('turnoff mass [$M_\\\\odot$]')\n", "axes[1].set_title('Main-sequence turnoff as a clock')\n", "fig.tight_layout(); plt.show()\n", "\n", "print(f\"Solar-mass, solar-metallicity lifetime: \"\n", " f\"{stellarAstrophysics.lifetime(1.0, 0.02):.1f} Gyr\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "f7719335", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:03.186204Z", "iopub.status.busy": "2026-07-05T19:40:03.186115Z", "iopub.status.idle": "2026-07-05T19:40:03.239583Z", "shell.execute_reply": "2026-07-05T19:40:03.239064Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "massGrid = np.linspace(1.0, 60.0, 60)\n", "ejected = np.array([stellarAstrophysics.massEjected(m, 0.02) for m in massGrid])\n", "yieldMetals = np.array([stellarAstrophysics.massYield(m, 0.02) for m in massGrid])\n", "plt.plot(massGrid, ejected , label='mass returned to the ISM')\n", "plt.plot(massGrid, massGrid-ejected , label='remnant mass')\n", "plt.plot(massGrid, yieldMetals , label='newly synthesized metals')\n", "plt.xlabel('initial mass [$M_\\\\odot$]'); plt.ylabel('mass [$M_\\\\odot$]')\n", "plt.legend(); plt.title('Mass return and metal yields ($Z=0.02$)')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "88845a5a", "metadata": {}, "source": [ "## Type Ia supernova delay-time distribution\n", "\n", "Type Ia supernovae trace *old* populations: after a minimum delay for the\n", "first white dwarfs to form, the rate falls off roughly as $t^{-1}$.\n", "`supernovaeTypeIaPowerLawDTDDifferential.number` gives the cumulative\n", "number of SNe Ia per solar mass formed by a given population age (the\n", "$2\\times10^{-3}\\,M_\\odot^{-1}$ normalization and $t^{-1}$ slope follow\n", "Maoz et al. 2012)." ] }, { "cell_type": "code", "execution_count": 7, "id": "e4a39d5c", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:40:03.241507Z", "iopub.status.busy": "2026-07-05T19:40:03.241432Z", "iopub.status.idle": "2026-07-05T19:40:03.334644Z", "shell.execute_reply": "2026-07-05T19:40:03.334114Z" } }, "outputs": [ { "data": { "image/png": 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8KP5nh6EwGAzK559/rpQvX15xcXFRihUrpgwePFiJjo7O8LkqiqLcuXNH6dOnj+Lt7a24ubkpDRo0UP744w/lzTffTHPIj4yeT1rDAWQ15hddkxfZtm2bUqNGDcXFxUUBlKZNm6Yb49Pru2fPnlTllCpVyrTvs9LbxxrXPjPX57/nk5ycrEyYMEGpW7euUqhQIcXZ2VkpUaKE0qVLF+XQoUMZfp+e95487z3M6O+IoijK5cuXlVdffVVxd3dXChQooLz66qvKuXPn0hyG4nmxpjdERXR0tDJixAilVKlSilarVQoVKqT06NFDuXDhgtl2zzvX9H4nhONSKYoNnqsXQmTJ+PHj+fzzzzlx4gTVqlVLtX758uX079+fPXv2mEbfFrb1omsihBBZIX3AhMghEhISWLp0KfXr15cv+hxCrokQwlakD5gQdnb69GmOHz/O6tWriYqKSnNeO5G95JoIIWxNWsCEsLP169fTt29fjh8/zhdffEHbtm3tHVKeJ9dECGFr0gdMCCGEECKbSQuYEEIIIUQ2kwRMCCGEECKbSQImhBBCCJHNcvVTkEajkTt37lCgQAG7zckmhBBCiLxDURTi4+MpVqyY2byz/5WrE7A7d+7g7+9v7zCEEEIIkceEh4dTokSJdNfn6gSsQIECwJM3wcPDwybHMBqNREZG4uvr+9xMV1iXwWDgzJkzAFStWtU00XJeIfVOZDepc8IeHLHexcXF4e/vb8pB0pOrE7Cntx09PDxsmoAlJSXh4eHhMJUjN0hJSWH37t0A1KlTB2dnZztHlL2k3onsJnVO2IMj17sXdX3K1QmYyL3UajXly5c3vRZCCCEciSRgwiE5OTnRq1cve4chhBBCZIk0HQghhBBCZDNJwIQQQgghslmOTsC2bNlC3bp1KVCgAEWLFqVbt25cvXrV3mGJHECn0zFv3jzmzZuHTqezdzhCCCFEpuTYBGzv3r107tyZKlWqsHHjRubMmcOJEydo1aoViYmJ9g5P2JmiKERHRxMdHY3MJy+EEMLR5NhO+KGhoZQqVYply5aZHuX08/OjefPmHDlyhMaNG9s5QmFPTk5O9O/f3/RaCCGEcCQ59ptLp9OlmkLI09MTQFo8BGq1mpIlS9o7DCGEECJLcuwtyH79+nH27FkWLFhAbGwsV69eZeLEidSoUYOGDRvaOzwhhBBCiCzLsS1gjRs3ZuPGjfTq1YuhQ4cCEBwczI4dO9KddiY5OZnk5GTTz3FxccCTkXSNRqNN4jQajSiKYrPyRdqMRiPnz58HoFKlSnluMFapdyK7SZ0T9uCI9S6jsebYBOyff/6hb9++DBgwgHbt2vHgwQM+++wz2rZty19//YWbm1uqfWbMmMGUKVNSLY+MjCQpKckmcRqNRmJjY1EUJc8lAfak0+nYsGEDAG+99RZardbOEWUvqXciu0mdE/Zgi3qXpDPiqrVdHY6Pj8/Qdiolh3aoqlWrFqVKlTJ9yQLcunWLkiVLsmjRIt59991U+6TVAubv709MTIxMxp3L6HQ61qxZA0DPnj3zZAIm9U5kJ6lzwh6sWe8MRoVZOy/yx/kINgyuT34X27RBxcXF4e3tTWxs7HNzjxzbAnb27Fk6duxotqxEiRIUKlSIK1eupLmPi4sLLi4uqZar1WqbfmCoVCqbH0OYc3FxoV+/fvYOw66k3onsJnVO2IM16l304xTeX3OM/ZejANh1LoLXapawVohmMhpnjk3ASpUqxdGjR82W3bhxg6ioKAICAuwTlBBCCCEcyunbsQxcGcbth4m4aTV83qUaHaoXs3dYOTcBGzRoECNGjGD48OG0b9+eBw8eMHXqVPz8/OjWrZu9wxNCCCFEDrch7BYTN54iWW8kwCcfi/qGUKmIbbokZVaOTcDef/99XFxcWLhwIUuXLqVAgQLUr1+fdevW4ePjY+/whJ3pdDqWLl0KwNtvv53n+oAJIYRIX4reyNRtZ1lx4AYALSr5Mbt7MJ5uOee7IscmYCqVikGDBjFo0CB7hyJyIEVRuH//vum1EEIIARARn8SQVUc5ciMGgOEtyjO8RXnUatUL9sxeOTYBE+J5nJyc6NOnj+m1EEIIEXYjhsGrwoiIT6aAixNzegTTonJhe4eVJvnmEg5JrVZTtmxZe4chhBAiB1AUhVWHbvLpL2fQGRTK++XnuzdqUbqQu71DS5ckYEIIIYRwWEk6Ax9tOs36sFsAvBpUhC+7VMfdRuN8WUvOjk6IdBiNRi5fvgxAuXLlZFwiIYTIg27FJDBoVRinb8ehVsG4VyrxbpMyqFQ5q79XWiQBEw5Jr9ebRsKfMGECzs7Odo5ICCFEdtp/KYr31hwlJkFHQXdn5vWsQcNyhewdVoZJAiYckkqlolixYqbXQggh8gZFUVi87ypf7DiPUYGg4p4s6htCca/Uc0TnZJKACYek1WoZMGCAvcMQQgiRjR4l6xm7/gTbT90DoGtICT7rFIirVmPnyDJPEjAhhBBC5HhXIx8xcGUYlyIeodWomNyhKr3qlHTYuyCSgAkhhBAiR9t17j6jfjpJfLKewh4uLOgdQkgpb3uHZRFJwIRD0ul0rFy5EoC+ffvKVERCCJELGY0KSw7cYemhuwDUDvBmfu+a+BVwtXNklpMETDgkRVEIDw83vRZCCJG7xCbqGBF6jD0XIgF4s34pPmxbBWen3DHsUKYTsBUrVmRq+zfeeCOzhxDihZycnOjevbvptRBCiNzj/L04Bq4M48aDBFw0KqZ1DqJLLX97h2VVmf7m6tevn9nPTzu/PdsK8WyHOEnAhC2o1WoqVapk7zCEEEJY2ZYTdxi3/iSJOgPFvdyY1qYUTYKK2zssq8t0AhYTE2N6ffnyZbp27Urfvn3p0qULhQsX5v79+6xbt45Vq1bx008/WTVYIYQQQuROeoORz3ecZ8lf1wBoVK4Qc7pXR//4oX0Ds5FMJ2Cenp6m1+PHj+fdd99l/PjxpmV+fn4EBQXh5ubGuHHj2L17t3UiFeIZRqORmzdvAlCyZEmZikgIIRzYg0fJDFt9jANXHwAwqGlZxrSuiAqFiMd2Ds5GLPrW+ueffwgJCUlzXUhICAcPHrSkeCHSpdfr+eGHH/jhhx/Q6/X2DkcIIUQWnQh/SPt5+zlw9QH5nDUs7F2T8W0qoVE75vheGWVRAubn58fatWvTXBcaGoqvr68lxQuRLpVKha+vL76+vg47CJ8QQuR1Px0Op+viA9yJTaJMIXc2D21Im6Ci9g4rW1j0+NjEiRMZOHAgV65coVOnTvj5+REREcHGjRvZt28fixcvtlacQpjRarUMGTLE3mEIIYTIghS9kSm/nOHHQ0+6krSsXJjZ3avj4Zp3xnS0KAEbMGAARYsWZerUqYwZMwa9Xo+TkxM1a9Zk8+bNtG/f3lpxCiGEECIXuB+XxKBVYRy7+RCVCka2rMDQl8qhzuW3HP/L4gGU2rVrR7t27TAajURGRuLr6ysdooUQQgiRyr/Xohny41GiHiXj4erE3B41eKmSn73DsgurjGC5Y8cODh8+THh4OB999BElS5Zk3759lCtXjmLFilnjEEKY0el0hIaGAtCjRw+ZikgIIXIwRVH44Z/rTN12Dr1RoVKRAizuG0IpH3d7h2Y3FiVgkZGRdOrUiYMHD+Lv7094eDiDBg2iZMmSLFu2DHd3d+bPn2+tWIUwURSFq1evml4LIYTImRJTDEzceIqNx24D0L56MT5/PYh8znl7FhOLzn7EiBFERkZy+vRpypcvj7Ozs2ldy5YtmTp1qsUBCpEWJycnOnfubHothBAi57n5IIGBq8I4dzcOjVrFhDaVeLtRaXl6HQsTsG3btrFkyRIqV66MwWAwW+fv78+tW7csCk6I9KjVaqpVq2bvMIQQQqRj74UIhoceJzZRR6H8zszrWZP6ZX3sHVaOYVECptfrcXdP+/5tTEyMWYuYEEIIIXI/o1Fhwd7LfPX7RRQFgv29WNinJkU93ewdWo5i0eOKdevWZdmyZWmuCw0NpWHDhpYUL0S6jEYjt2/f5vbt2xiNRnuHI4QQAohP0jFoVRizdj5JvnrW8WftwHqSfKXBohawqVOn8tJLL9GkSRO6dOmCSqVi06ZNzJgxg23btrF//35rxSmEGb1ez//+9z8AJkyYIK2tQghhZ5cj4nl3ZRhXIx/jrFHzaceq9KhT0t5h5VgWtYDVr1+fPXv2oFKpGDVqFIqiMG3aNO7evcvu3bupWbNmlstu1qwZKpUqzX9Phx8QeZdKpcLT0xNPT0/pzCmEEHa24/Q9Os3/h6uRjynq6cpPg+pL8vUCKsVKz/AnJiYSExODl5cX+fLls7i8s2fPEhcXZ7Zszpw5bNiwgbt371KoUKEXlhEXF4enpyexsbF4eHhYHFNajEYjERER+Pn5yQC0IttIvRPZTeqcSIvBqDD79wvM33MFgLqlCzK/d00K5XexSvmOWO8ymntY7fl9Nzc33Nysd4+3SpUqqZb9+++/tGrVKkPJlxBCCCFs52FCCu+HHmffxUgA3m5UmvFtKqHVOEaiZG8WJ2Dh4eFs2rSJ8PBwkpKSzNapVCrmzp1r6SEA+Oeff7h27ZqMLSaEEELY2dk7cQxcdYTw6ERctWo+f70aHYOL2zssh2JRAvbTTz/Rt29fjEYjfn5+qTpCWzMBW716Ne7u7nTs2DHdbZKTk0lOTjb9/PQWptFotNmTckajEUVR5Em8bKbX69mwYQMAr7/+ep4bjFXqnchuUufEU5uO3WbiptMk6YyULOjGwt41qVzUwyZ1wxHrXUZjtehba+LEiXTq1InvvvsOT09PS4p6Lr1ez08//USHDh3SHXcMYMaMGUyZMiXV8sjIyFStc9ZiNBqJjY1FURSHuT+dG+h0Oi5evAjA/fv389xckFLvRHaTOif0BoW5f4Wz7viTW471SnkwpU1pPDVJRETId+xT8fHxGdrO4rkg3333XZsmXwC///47kZGR9OrV67nbTZgwgZEjR5p+jouLw9/fH19fX5t2wlepVPj6+jpM5cgNDAYDbdu2BaBIkSJoNBo7R5S9pN6J7CZ1Lm+LjE9mxOpjHLkRA8B7L5Xl/Rbl0aht+xS6I9Y7V1fXDG1nUQL2yiuvcPDgQVq0aGFJMS+0evVqfHx8aN269XO3c3FxwcUl9ZMXarXaphdOpVLZ/BjCnFqtplatWvYOw66k3onsJnUubwq7EcPgVWFExCdTwMWJ2d2DeblK4Ww7vqPVu4zGaVECtmjRIrp3705CQgItWrTAy8sr1TaWjAUGT4a32LRpE3369Mlzt5mEEEIIe1EUhVWHbvLpL2fQGRTK++VnUd8Qyvrmt3douYJFCVh8fDwJCQnMmDGDmTNnmq1TFAWVSpVqku7M2rJlC48ePXrh7UeRtyiKQmTkk34Ivr6+MhirEEJYUZLOwEebTrM+7BYArwYV4Ysu1cnvkrceeLIli97JN954g5s3bzJv3jwqVKhgk+lgVq9eTcmSJWnUqJHVyxaOS6fTsXDhQkCmIhJCCGu6/TCRQSvDOHU7FrUKxr1SiXeblJE/dK3MogTs33//ZfXq1XTq1MlK4ZiLiYlhx44djBgxQi68SMUaMy4IIYT4P/9cjmLYmmNEP07BO5+WeT1r0qi8DH5uCxYlYOXLl0ev11srllS8vb3NxvUS4ilnZ2fGjBlj7zCEECJXUBSF//11jRm/nsOoQGBxDxb1CaGEt/yhaysWJWCzZ89m9OjRBAYGUqlSJWvFJIQQQohskpCiZ+z6k2w9eReA12uWYFrnQFy1eWt4n+xmUQI2YsQI7t27R2BgIMWKFUv1FKRKpeLEiROWHEIIIYQQNnI96jEDV4Zx4X48TmoVn7SvQt96paTbTzawKAHL6+MwCfvR6/Vs2bIFgA4dOuS5qYiEEMJSf5y/z/DQ48Qn6fEt4MLC3jWpFVDQ3mHlGVn+1kpJSaF9+/YEBwdTpkwZa8YkxAsZjUZOnToFQLt27ewcjRBCOA6jUWHeH5eZs/siigIhpbxZ0LsmhT0yNoK7sI4sJ2DOzs706tWLHTt2SAImsp1GozHNjJDXpiESQoisik3UMXLtcXafjwCgb71SfNyuCs5OjjHKfG5i0X2bSpUqcfPmTWvFIkSGaTQa6tWrZ+8whBDCYZy7G8egVWHceJCAs5OaaZ0C6VrL395h5VkWJWAzZsxg+PDhVKlSRfqDCSGEEDnU5uO3GbfhJEk6I8W93FjcN4TA4p72DitPsygBGzt2LA8ePKBu3br4+PhQuHBhsycn5ClIYSuKohAbGwuAp6enPLEjhBBp0BmMzNh+nmV/XwOgcflCfNOjBt7uMnuIvVmUgIWEhEjLl7ALnU7H3LlzAZmKSAgh0hL1KJmhPx7l0LVoAIY0K8uoVhXRqOUP1pzAogRs+fLlVgpDiMzTarX2DkEIIXKkE+EPGbQqjLuxSbg7a/iqWzCvBBaxd1jiGVYZPOnMmTPs37+f6OhofHx8aNSoEVWqVLFG0UKkydnZmYkTJ9o7DCGEyHF+OhzOR5tPk6I3UsbXne/6hlDOr4C9wxL/YVEClpycTN++fdmwYQOKouDi4kJycjIqlYouXbqwcuVKuTUkhBBCZINkvYEpv5xl9aEnoxO8XKUws7tVp4Cr3C3IiSwa+GPixIls27aNRYsW8fDhQxITE3n48CGLFi1i27Zt0kIhhBBCZIN7sUn0+O4gqw/dRKWCUS9XYHGfEEm+cjCLWsBCQ0OZMWMGAwYMMC3z8PBgwIABJCQk8MUXXzBr1iyLgxTiv/R6Pdu3bwfg1VdflamIhBB51r/Xohny41GiHiXj4erE3J41eKmin73DEi9g0bdWdHQ0lSpVSnNdpUqViI6OtqR4IdJlNBo5duwYAK+88oqdoxFCiOynKArL/7nOtG3n0BsVKhUpwOK+IZTycbd3aCIDLB4Jf+XKlbRq1SrVulWrVqWbnAlhKY1Gw0svvWR6LYQQeUliioEPN57i52O3AehQvRgzXw8in7PcDXAUFl2pjz/+mK5du3L9+nVef/11ChcuTEREBOvXr+fAgQOsW7fOWnEKYUaj0dCkSRN7hyGEENkuPDqBgSvDOHs3Do1axYQ2lXi7UWkZkNrBWJSAvfbaa2zcuJEpU6YwatQoFEVBpVIRHBzMxo0bad++vbXiFEIIIfK8fRcjeT/0GA8TdPi4OzOvVw0alC1k77BEFljcVtmhQwc6dOjA48ePefjwIV5eXri7y/1nYVuKopCQkABAvnz55C8/IUSupigKC/ZeYdbOCygKVCvhycI+IRT3crN3aCKLMj0MxWuvvcbly5cBWLFiBQ8ePADA3d2d4sWLS/IlsoVOp2PWrFnMmjULnU5n73CEEMJm4pN0DFoVxpe/PUm+utfy56eB9SX5cnCZTsC2bNliSrr69+/PlStXrB6UEEIIIeByxCM6zf+b387cx1mjZsZrQXzepRquWnn4yNFl+hZk8eLF+eWXXyhcuDCKonDv3j1u3ryZ7vYlS5a0KEAh0uLs7MykSZPsHYYQQtjMb2fuMeqnEzxK1lPEw5WFfWpSo6S3vcMSVpLpBGzEiBGMHj2aGTNmoFKp6Ny5c5rbPe2QbzAYLA5SCCGEyCsMRoXZv19g/p4nd5jqli7It71q4lvAxc6RCWvKdAL2wQcf0L59e86fP0+HDh34/PPPqVChgi1iE0IIIfKUhwkpDA89zp8XIwF4q2FpJrxaCa3GopkDRQ6Upacgy5UrR7ly5XjzzTfp0qULpUuXtnZcQjyXXq9n165dALRs2VKmIhJCOLyzd+IYuOoI4dGJuGrVfP56NToGF7d3WMJGLPrW+v77760VhxCZYjQaOXToEADNmze3czRCCGGZTcduM/7nkyTpjJQsmI/FfUOoXNTD3mEJG5JmA+GQNBoNjRo1Mr0WQghHpDMYmb79HN//fR2AZhV9mdu9Bp75tPYNTNhcjr+p/MMPP1CjRg1cXV0pVKgQbdq0ITEx0d5hCTvTaDS0aNGCFi1aSAImhHBIkfHJ9P7fIVPy9V7zcix9s7YkX3lEjm4BmzZtGp9//jkTJ06kfv36REVFsXv3bnmyUgghhEM7ejOGwavCuB+XTH4XJ2Z3q06rqkXsHZbIRjk2Abtw4QKTJ09my5YttGnTxrT89ddft2NUIqdQFMU0Ar5Wq5WpiIQQDmP1oZtM2nIanUGhnF9+FvcNoaxvfnuHJbJZjk3Avv/+e0qXLm2WfAnxlE6nY8aMGQBMmDABZ2dnO0ckhBDPl6QzMGnzGdYeCQegTWARvuxanfwuOfarWNhQjr3qBw8eJCgoiKlTp/LNN9/w8OFDateuzezZs6lbt26a+yQnJ5OcnGz6OS4uDnjyxJzRaLRJnEajEUVRbFa+SNuz77ctr29OJfVOZDepc5a5/TCRIT8e49TtWNQqGNWqAoOalEGlUsl7+hyOWO8yGqtKURTFxrFkSaVKlbh9+zZFixZl+vTp5MuXj+nTp3Pq1CkuXbqEn59fqn0mT57MlClTUi2/ePEiBQoUsEmcRqOR2NhYPD09Uatz/DMNuYaiKOj1egCcnJzy3C1IqXciu0mdy7qw8Hg+3H6Vh4l6PF01fNqmDHVLyRATGeGI9S4+Pp4KFSoQGxuLh0f619kmCdjhw4cZP348Dx8+pGDBgsyYMYNatWplqowKFSpw6dIlTpw4QbVq1QCIjo4mICCAESNG8Omnn6baJ60WMH9/f2JiYp77JljCaDQSGRmJr6+vw1QO4fik3onsJnUu8xRFYen+63z+2wUMRoXAYh4s6F2DEt757B2aw3DEehcXF4e3t/cLEzCr34L87bffmD59Oj/88AMBAQFcv36dvn378vHHH9OqVasMl+Pt7Y2Pj48p+QIoWLAgNWrU4MyZM2nu4+LigotL6rmy1Gq1TS+cSqWy+TGE+C+pdyK7SZ3LuIQUPWPXn2TrybsAvF6zBNM6B+KqlWFzMsvR6l1G47R6AvbJJ5+wefNmihR58jhtQEAAoaGhdOzYMVMJWNWqVbly5Uqa65KSkqwSq3BcBoOBvXv3AtCsWTMZC0wIkWNcj3rMwJVhXLgfj5NaxaT2VehTr1Se6yohns/q6eTjx48pUqQIN27cQK1W888//1C8eHEePXqUqXLatWvHgwcPOH78uGnZgwcPOHr0KCEhIVaOWjgag8HA/v372b9/v4wLJ4TIMfacj6DDt/u5cD8e3wIuhL5bj771AyT5EqlYvQVMo9EQHx+Pv78/d+/excfHh9jY2ExPltypUydq165Nly5dmDZtGm5ubsyYMQMXFxeGDBli7bCFg1Gr1aanYR2lWVoIkXsZjQrf7rnM17suoigQUsqbBb1rUtjD1d6hiRzK6gnY6NGj6du3L6tXr6Zw4cI8fvyYPn36MG7cuEyVo1ar2b59Ox988AEDBw4kJSWFxo0bs2/fPtPtTZF3OTk58corr9g7DCGEIC5Jx8i1J9h17j4AfeqV5JN2VXF2kj8ORfqsnoD17dsXNzc3GjVqhFarxWAwMGHChCyNYF+oUCFWrlxp7RCFEEIIq7h0P56BK8O4GvUYZyc1UzsF0q2Wv73DEg7AJgOxdunShS5duqAoitz3FkIIkSttP3WX0etOkJBioJinK4v6hlCthJe9wxIOwqYj4UvyJWwlJSVFpiISQtiF3mDky50XWPznVQAalPVhXs8a+ORPPQySEOnJsVMRCSGEEDlN9OMU3l9zjP2XowB4t0kZxrauiJNG+nuJzMl0AtarVy+qVatGtWrVqF69OsWLF7dFXEI8l1arZfTo0abXQghha6duxTJoVRi3HybiptXwRZdqtK9ezN5hCQeV6QQsNDSUtWvXmn729vYmKCiI6tWrmxKzwMBAXF3l0VthOyqVCnd3d3uHIYTII9aH3WLixlOk6I2U8snH4r4hVCoi8zmKrMt0AhYYGMi1a9fo3LkzzZo14/Lly5w8eZKff/6Zb775xjRlQLly5ahevTqhoaG2iFsIIYSwuRS9kc+2nmXlwRsAtKjkx+zuwXi6Scu7sEymE7ATJ06watUqJk2axB9//MHHH3/MZ599hkaj4eHDh5w8eZKTJ09y4sQJTp06ZYuYhcBgMPD3338D0LBhQ5mKSAhhdffjkhjy41HCbsSgUsGIFhV4r3k51Gp5wExYLtMJmEqlom/fvvTo0YOFCxfyySef8NVXXzF16lS6detGkyZNaNKkiS1iFcLEYDCwZ88eAOrVqycJmBDCqg5fj2bIj0eJjE+mgKsTc3sE07xSYXuHJXKRLD+2odVqef/997ly5Qq9evViwIABhISEsHPnTmvGJ0Sa1Go1NWrUoEaNGjIVkRDCahRFYcWB6/T87iCR8clULFyAX4Y1kuRLWJ3F31z58+dn8uTJXLlyhZCQENq0acOIESOsEJoQ6XNycqJDhw506NAh0/OMCiFEWpJ0BkavO8knm8+gNyq0rVaUn4c0IKCQPPAjrC9L31yxsbGcO3cu1b/r16+jVqtJTk62dpxCCCGEzYRHJzBoVRhn7sShVsH4NpUY0LiMDCgubCbTCVixYsW4f//JhKP+/v5UrVqVwMBAunfvTmBgIJUrV8bFRUYDFkII4Rj+uhTJ+2uOEZOgo6C7M/N61qBhuUL2DkvkcplOwO7du4eHhwedOnWiUaNGVKtWjaCgINzc3GwRnxBpSklJYdasWQCMHj1apiISQmSaoigs+vMqX/52HqMC1Up4srBPCMW95PtM2F6mE7APP/yQkydP8ueff7JixQpUKhUqlYoyZcqYBmJ9+q9MmTK2iFkIAHQ6nb1DEEI4qEfJesasO8Gvp+8B0DWkBJ91CsRVK09Ui+yR6QTss88+M72Oi4szjfv1dOyv3377jcePH6NSqcifPz+xsbFWDVgIePIU7vDhw02vhRAio65EPmLgyjAuRzxCq1ExqX1VetctKf29RLay6PExDw8PGjVqRKNGjcyWX7lyhePHj8tArMJmVCoVXl5e9g5DCOFgfj97n5FrjxOfrKewhwsL+4RQs6S3vcMSeZBNnt8vW7YsZcuW5fXXX7dF8UIIIUSmGIwKc3dd5Js/LgNQJ6Ag3/augV8BmbdY2IcMoCQcksFg4PDhwwDUrl1bRsIXQqQrNkHH8LXH2HshEoB+DQL4sG1ltBoZxFnYjyRgwiEZDAZ+++03AGrWrCkJmBAiTefuxjFwZRg3oxNw1aqZ8VoQnWuUsHdYQkgCJhyTWq0mKCjI9FoIIf5r8/HbjN9wikSdgRLebizuG0LVYp72DksIIBMJ2KNHj/jyyy9RqVSMHTuW+fPns2LFCoKCgvjmm28oVEgGrRPZx8nJiddee83eYQghciCdwcjMX8+zdP81ABqXL8S8njXwyifjBYqcI8NNB2+//TaPHj3i3r17tGvXjsjISEJDQ6lYsSLvv/++LWMUQgghMiQyPpk+/ztkSr6GvlSW5f3rSPIlcpwMt4CdO3eOtWvXYjQaKVy4MLt370alUlG1alWqV69uyxiFEEKIFzp2M4bBq45yLy6J/C5OzOpanVcCi9g7LCHSlOEEzMnpyaZqtZrg4GCzAetk8DqR3VJSUpg7dy4Aw4cPl6mIhMjjVh+6yeQtZ0gxGCnr687ivrUo55ff3mEJka4MJ2Curq48evSI/Pnz8/vvv5uWP3jwwJScCZGdEhIS7B2CEMLOkvUGJm0+Q+jhcABaVSnMV92qU8BVZsgQOVuGM6e///473ZauFStWWC0gITJCq9UyePBg02shRN5zNzaRQauOciL8ISoVjG5VkcFNy6JWy10ZkfNlOAFLL/ny8fHBx8fHagEJkREqlQo/Pz97hyGEsJMDVx4wbPVRHjxOwdNNyzc9a9C0gq+9wxIiw7J87/DevXvs3LmT8+fPEx0dDUDBggWpVKkSrVq1okgRyzo+Ll++nP79+6daPm7cOGbOnGlR2UIIIRyToigs3X+NGb+ex2BUqFzUg+/6huBfMJ+9QxMiUzKdgOl0OkaNGsWiRYswGAwULVoUb+8nE5nGxMRw9+5dNBoNgwcP5quvvrK4f9iOHTvw9Py/gfOKFy9uUXkidzAYDBw/fhyA4OBgGQlfiDwgIUXP+A2n2HLiDgCdaxRneucg3Jzl9184nkxnRx999BErV65k/vz5dOvWzSw5AoiLi+Onn35i7NixuLm5WdxaFRISIoO8ilQMBgNbt24FICgoSBIwIXK5Gw8eM3BlGOfvxeOkVvFR28q82SBAnsIXDivTCdiKFSv4+uuv6devX5rrPTw8eOedd9BoNEycOFFuFwqbUKvVVKxY0fRaCJF77TkfwfDQY8Ql6SmU34X5vWpQt4z0PRaOLdMJWHx8PCVKvHgi0xIlShAfH5+loJ5VtWpVoqKiKFWqFAMGDGDs2LHptnYkJyeTnJxs+jkuLg4Ao9GI0Wi0OJa0GI1GFEWxWfkibWq1mm7dupl+zmvvv9Q7kd3sUeeMRoX5e68wZ/clFAVq+Hsxv1cNini6St3PIxzxsy6jsWY6Aatfvz7Tp0+ndu3aqW4/PhUXF8f06dNp0KBBZos3KVq0KFOmTKFu3bqoVCq2bNnCRx99xO3bt/n222/T3GfGjBlMmTIl1fLIyEiSkpKyHMvzGI1GYmNjURRFWmJEtpF6J7Jbdte5R8kGpvx2jb+uxgLQOagQHzT1R50cR0REnM2PL3IGR/ysy2jjk0pRFCUzBV+4cIHmzZsTHx9Py5YtqVSpEl5eXgDExsZy/vx5du3aRYECBdi9e7fpNpE1jBkzhq+//prw8HCKFi2aan1aLWD+/v7ExMTg4eFhtTieZTQaiYyMxNfX12Eqh3B8Uu9EdsvOOnfxfjyDVh3l+oMEnJ3UfNqhCt1q+dv0mCJncsTPuri4OLy9vYmNjX1u7pHpFrCKFSty5swZFi5cyI4dO1i6dCkxMTEAeHt7U6lSJSZMmMCgQYNMiZm1dOvWjVmzZnH8+PE0EzAXFxdcXFxSLVer1Ta9cCqVyubHEOZ0Oh3z588HYOjQoXlyMFapdyK7ZUed23byLmPWnyAhxUAxT1cW9Q2hWgkvmx1P5HyO9lmX0TizNEaEl5cXEyZMYMKECVnZXQiLKYpCbGys6bUQwrHpDUa+3HmBxX9eBaBBWR/m9ayBT/7Uf1QLkRs41CSOoaGhaDQaatSoYe9QhJ05OTnxzjvvmF4LIRxX9OMU3l9zjP2XowB4t0kZxrauiJPGMVo8hMgKm31zRUVFcfbsWZo0aZKl/Vu3bk3z5s0JCgoCYMuWLXz33XcMHz7c4lH2heNTq9UyKK8QucDp27EMXBnG7YeJ5HPW8EWXarSrVszeYQlhczZLwP7880+6deuGwWDI0v6VKlVi6dKl3Lp1C6PRSIUKFZgzZw7vvfeelSMVQghhDxvCbjFx4ymS9UYCfPKxuG8tKhYpYO+whMgWOfbezdy5c5k7d669wxA5lNFo5PTp0wAEBgY6TOdMIQSk6I1M23aWHw7cAKBFJT9mdw/G0y3vPUwj8q5MJ2DVqlXL0HZPB0EVwhb0ej0bN24EnrSWOjs72zkiIURGRMQlMeTHoxy58eTp+eEtyjO8RXnUaplSSOQtmU7Azp07R9WqVV/YEf7GjRuEh4dnOTAhnkelUlGmTBnTayFEzhd2I5rBq44SEZ9MAVcn5nQPpkXlwvYOSwi7yHQCFhgYSPny5fn++++fu92GDRv4888/sxyYEM+j1Wrp27evvcMQQmSAoiisOniDT7eeRWdQqFA4P4v71qJ0IXd7hyaE3WQ6Aatbty6//vprhraV8ZmEECJvS9IZ+HDjaTYcvQVA26CifNGlGu4uObYLshDZItO/AWPGjOHVV1994Xavvvoq165dy1JQQgghHF94dAKDVoVx5k4cahWMb1OJAY3LSLcBIchCAla2bFnKli37wu3c3NwoVapUloIS4kV0Oh1LliwBYMCAAXlyKiIhcrL9l6J4b81RYhJ0FHR35tueNWhQrpC9wxIix5A2YOGQFEUhMjLS9FoIkTMoisLifVf5Ysd5jApUK+HJwj4hFPdys3doQuQokoAJh+Tk5MSbb75pei2EsL9HyXrGrj/B9lP3AOgaUoLPOgXiqtXYOTIhch755hIOSa1WExAQYO8whBD/39XIRwxcGcaliEdoNSomta9K77olpb+XEOmQBEwIIYRFfj97n5FrjxOfrKewhwsLeocQUsrb3mEJkaNlOQFLSUlh69atBAcHmwbEFCK7GI1GLl68CECFChVkKiIh7MBgVJi76yLf/HEZgNoB3szvXRO/Aq52jkyInC/L31rOzs706tWLmzdvWjMeITJEr9ezdu1a1q5di16vt3c4QuQ5sQk63v7hsCn56tcggNUD6knyJUQGWXQLslKlSpKACbtQqVT4+/ubXgshss+5u3EMXBnGzegEXLVqZrwWROcaJewdlhAOxaIEbMaMGQwfPpwqVapQq1Yta8UkxAtptVreeuste4chRJ6z+fgdJmw8RZLOSAlvNxb3DaFqMU97hyWEw7EoARs7diwPHjygbt26+Pj4ULhwYbPWCJVKxYkTJywOUgghhH3pDEbm/BlO6LEIAJpU8OWbHsF45XO2c2RCOCaLErCQkBBp+RJCiFwu6lEyQ388yqFr0QAMfaksI1+uiEYtt/+FyCqLErDly5dbKQwhMken05nqX79+/WQqIiFs5NjNGAavOsq9uCTyOav5qmt12gQVs3dYQjg8q4wDtmPHDg4fPkx4eDgfffQRJUuWZN++fZQrV45ixeQXVVifoijcuXPH9FoIYX1r/r3JpM1nSDEYKevrztQ2pahbqYi9wxIiV7AoAYuMjKRTp04cPHgQf39/wsPDGTRoECVLlmTZsmW4u7szf/58a8UqhImTkxM9e/Y0vRZCWE+y3sDkLWdY8284AK2rFuaL14NIjIuxc2RC5B4WfXONGDGCyMhITp8+Tfny5XF2/r/OmC1btmTq1KkWByhEWtRqNRUqVLB3GELkOndjExm06ignwh+iUsHoVhUZ0qwsiqKQGGfv6ITIPSxKwLZt28aSJUuoXLkyBoPBbJ2/vz+3bt2yKDghhBDZ58CVBwxbfZQHj1PwdNPyTc8aNK3gC8itfiGszaIETK/X4+7unua6mJgYsxYxIazJaDRy7do1AEqXLi1TEQlhAUVRWLr/GjN+PY/BqFClqAeL+4bgXzCfvUMTItey6Furbt26LFu2LM11oaGhNGzY0JLihUiXXq9n1apVrFq1SqYiEsICCSl6Rqw9ztRt5zAYFTrXKM6GwQ0k+RLCxixqAZs6dSovvfQSTZo0oUuXLqhUKjZt2sSMGTPYtm0b+/fvt1acQphRqVQULlzY9FoIkXk3Hjxm4Mowzt+Lx0mt4sO2lenXIEB+p4TIBhYlYPXr12fPnj2MHz+eUaNGoSgK06ZNo379+uzevZuaNWtaK04hzGi1WgYNGmTvMIRwWHsuRDB8zTHikvQUyu/C/F41qFvGx95hCZFnWPz8fv369fnzzz9JTEwkJiYGLy8v8uWTpmshhMiJjEaF+XsuM3vXRRQFapT0YmHvEIp4uto7NCHyFKv1XHZzc6NYsWI2S74ePXpEiRIlUKlUHDlyxCbHEEKI3CwuScfAVWF89fuT5Kt33ZKEvltPki8h7MDiFrCoqCi+/vprDh06xN27dylatCj16tVj+PDh+Pr6WiNGAD777DPpbC1MdDodP/74IwC9e/eWqYiEeIHLEfG8uyKMq1GPcXZSM7VjIN1q+9s7LCHyLItawA4dOkT58uX59ttv8fT0pGnTpnh6ejJv3jzKlSvHoUOHrBLk+fPnmT9/PlOmTLFKecLxKYrCjRs3uHHjhoxPJMQL7Dh9l47f/s3VqMcU83Rl3cD6knwJYWcWtYANHTqUqlWrsn37djw8PEzLY2NjadOmDcOGDePw4cMWB/nee+8xaNAgKlasaHFZIndwcnKiS5cuptdCiNQMRoVZOy+wcO8VAOqX8WFerxoUyu9i58iEEBZ9c505c4Z169aZJV8Anp6ejB8/nu7du1sUHMD69es5deoUGzZs4OjRo8/dNjk5meTkZNPPcXFP5s0wGo0YjUaLY0mL0WhEURSblS/SV7lyZdPrvPb+S70TLxKTkMLw0OPsv/wAgHcalWZs6wo4adRZqjdS54Q9OGK9y2isFiVg5cqV4+HDh2mui42NpUyZMpYUT0JCAiNHjmT69Ompkry0zJgxI83blJGRkSQlJVkUS3qMRiOxsbEoiiKjsYtsI/VOPM+FiATG/XKFe/EpuDqp+fDlUrxcsSDRD6KyXKbUOWEPjljv4uPjM7SdRQnYl19+ydChQ/H396dp06am5Xv37mXy5Ml8++23lhTP1KlTKVy4MP3798/Q9hMmTGDkyJGmn+Pi4vD398fX1zdDCVxWGI1GVCoVvr6+DlM5cgOj0cjt27cBKF68eJ5776XeifT8fPQ2H266QLLeSCmffCzqXZOKRQpYXK7UOWEPjljvXF0z9lSxRQnYmDFjiI2NpXnz5nh6euLr60tkZCSxsbF4e3szbtw4xo0bBzwZrfzEiRMZLvvGjRt89dVXbNy4kdjYWODJUBRP/3/06BH58+c328fFxQUXl9R9G9RqtU0vnEqlsvkxhDm9Xs/y5cuBJ4l3XuwHJvVOPCtFb2TqtrOsOHADgOaV/Pi6ezCebtZ7QljqnLAHR6t3GY3Tom+tkJAQm01Zce3aNVJSUmjbtm2qdS+99BJ169bl4MGDNjm2yPlUKhUFCxY0vRYiL4uIS2Lo6qMcvh4DwPAW5RneojxqtfxuCJFTWZSAPW2BsIXg4GD27Nljtuz48eN88MEHLFq0iNq1a9vs2CLn02q1vPfee/YOQwi7C7sRzeBVR4mIT6aAqxNzugfTonJhe4clhHiBHHvfxsvLi2bNmqW5LiQkROaZFELkaYqisOrgDT7dehadQaFC4fws7luL0oXc7R2aECIDcmwCJoQQIm1JOgMfbTrN+rBbALStVpQvXq+Gu4t8pAvhKBzqt7VZs2Yy6rkAnnTC/+mnnwDo1q1bnuyEL/KmWzEJDF51lFO3Y1GrYHybSgxoXEb6QgrhYORbSzgko9HIpUuXTK+FyAv+vhzFsNVHiUnQ4Z1Py7yeNWlUvpC9wxJCZIEkYMIhaTQaOnbsaHotRG6mKArf7bvK5zvOY1QgsLgHi/qEUMI7n71DE0JkkSRgwiFpNBqCg4PtHYYQNvc4Wc/YDSfZdvIuAF1CSjC1UyCuWvnDQwhHZnECtnLlShYvXszFixfTnO7n6XyMQgghMuda1GMGrjzCxfuPcFKrmNS+Cn3qlZL+XkLkAhYNK7tq1SoGDBhAYGAgUVFRdOvWjddffx1nZ2f8/PwYPXq0teIUwozRaOTevXvcu3dP+oCJXGn3uft0mLefi/cf4VfAhdB369G3foAkX0LkEhYlYF999RUff/wx8+fPB2DIkCF8//33XLt2DV9f31RTBQlhLXq9nsWLF7N48WL0er29wxHCaoxGha9/v8jbPxwhPllPrVLebH2vEbUCCto7NCGEFVmUgF26dImGDRui0WjQaDSm240FChRg3LhxfPPNN1YJUoj/UqlUFChQgAIFCkiLgMg1YhN1vLPiCHN3P3nC9836pVg9oB5+Hhmb3FcI4Tgs6gPm6elJcnIyAMWLF+fs2bOm0esNBgMPHjywOEAh0qLVahk5cqS9wxDCas7fi2PgyjBuPEjAxUnNtM5BdAkpYe+whBA2YlECVqtWLU6ePEnr1q3p0KEDU6ZMwWg0otVqmTlzJvXq1bNWnEIIkWv9cuIOY9efJFFnoLiXG4v7hhBY3NPeYQkhbMiiBGzChAncuHEDgE8//ZQbN24wYsQIjEYjtWvXZvHixVYJUgghciO9wcjnO86z5K9rADQuX4hvetTA293ZzpEJIWzNogSsXr16plYuLy8vNm/eTHJyMsnJyXh4eFglQCHSotfr2bhxIwCdO3eWqYiEw4l6lMyw1Uc5eDUagEFNyzKmdUU0aunTKEReYPVvLRcXF1xcXKxdrBBmjEYjZ8+eBTCNiC+Eozh2M4bBq45yLy4Jd2cNX3WrziuBRe0dlhAiG0mzgXBIGo2GNm3amF4L4SjW/HuTSZvPkGIwUtbXncV9QyjnV8DeYQkhslmmE7DMPPavUqmIjY3NdFBCvIhGo6FOnTr2DkOIDEvWG5i85Qxr/g0HoHXVwszqWp0Crlo7RyaEsIdMJ2CjRo2ScZeEECIT7sUmMWhVGMfDH6JSwZjWFRnctKx8lgqRh2U6AZs8ebINwhAicxRFITr6SeflggULyheZyLH+vRbNkB+PEvUoGU83LXN7BNOsop+9wxJC2Jn0ARMOSafT8e233wJPhkNxdpbH9kXOoigKP/xznanbzqE3KlQqUoDv+taipE8+e4cmhMgBJAETDkuethU5VWKKgYkbT7Hx2G0A2lcvxuevB5HPWT5yhRBPyKeBcEjOzs6MHz/e3mEIkUp4dALvrgzj3N04NGoVE1+tzFsNA+Q2uRDCjCRgQghhJXsvRDA89DixiToK5Xfm2141qVfGx95hCSFyIEnAhBDCQoqisGDvFWbtvICiQHV/Lxb1qUlRTzd7hyaEyKGskoDt2LGDw4cPEx4ezkcffUTJkiXZt28f5cqVo1ixYtY4hBBm9Ho9W7duBaBdu3YyFZGwm/gkHaPXneC3M/cB6FnHn8kdquLiJAMECyHSZ9G3VmRkJJ06deLgwYP4+/sTHh7OoEGDKFmyJMuWLcPd3Z358+dbK1YhTIxGIydOnADg1VdftXM0Iq+6HPGIgSuPcCXyMc4aNVM6VqVnnZL2DksI4QAsSsBGjBhBZGQkp0+fpnz58mZDAbRs2ZKpU6daHKAQadFoNLRs2dL0WojstuP0PUb9dJzHKQaKeLiysE9NapT0tndYQggHYVECtm3bNpYsWULlypUxGAxm6/z9/bl165ZFwQmRHo1GQ8OGDe0dhsiDDEaFr3ZeYMHeKwDULV2Qb3vVxLeADIsihMg4ixIwvV6Pu7t7mutiYmJkcEwhRK4S8ziF90OP8delKADeblSa8W0qodWo7RyZEMLRWPSpUbduXZYtW5bmutDQUGmhEDajKApxcXHExcWhKIq9wxF5wOnbsbT/dj9/XYrCVatmbo9gPm5XRZIvIUSWWPTJMXXqVLZu3UqTJk2YP38+KpWKTZs20bVrV7Zs2cKUKVOyXPb27dtp2rQpvr6+uLi4UKZMGUaOHElsbKwlIYtcQqfT8fXXX/P111+j0+nsHY7I5TYeu8XrC//hVkwiJQvmY+OQhnQMLm7vsIQQDsyiBKx+/frs2bMHlUrFqFGjUBSFadOmcffuXXbv3k3NmjWzXHZ0dDR169Zl0aJF/Pbbb4wcOZIVK1bQtWtXS0IWuYharUatltYHYTs6g5HJW87wwdoTJOuNNKvoyy/DGlG5qIe9QxNCODiVYqX7N4mJicTExODl5UW+fLaZbHbJkiW8++673L59O0Pji8XFxeHp6UlsbCweHrb5wDQajURERODn5yfJgMg2Uu9sLyI+iWE/HuPf69EAvN+8HCNaVkCtzptTCkmdE/bgiPUuo7mH1UavdHNzw83NtqM++/g8mdIjJSXFpscRQuRtYTdiGPJjGPfjking4sRX3arTqmoRe4clhMhFMp2AlS5dOsOTyqpUKq5cuZLpoJ5lMBjQ6XScPXuWTz/9lA4dOhAQEJDmtsnJySQnJ5t+jouLA55k0Eaj0aI40mM0GlEUxWblC5EWqXe2oSgKq/8N59OtZ9EZFMr75Wdh7xqU8c2f599rqXPCHhyx3mU01kwnYB07dnxhAnby5ElT3zBLlSpVitu3bwPwyiuvsHr16nS3nTFjRpod/yMjI0lKSrI4lrQYjUZiY2NRFMVhmkdzA4PBwD///ANAgwYN8txgrFLvrC9Zb2TWnpv8cuYBAM3Le/HhywG4KwlERCTYOTr7kzon7MER6118fHyGtrNaHzCA48eP8+mnn7J582bKlCnDhAkTeOuttywq8+TJkzx+/JgzZ84wdepUypQpw++//57mF25aLWD+/v7ExMTYtA9YZGQkvr6+DlM5coOUlBQ+//xzAMaNG5fnxpyTemddtx8mMuTHY5y6HYtaBaNbVWBgkzJW+SMyt5A6J+zBEetdXFwc3t7e2dMH7MiRI3z66ads27aNChUq8MMPP9CrVy+rvFnVqlUDnjxxWbt2bYKDg9m4cSNdunRJta2LiwsuLqlHo7b103IqlUqeyMtmWq2Wpk2bml7nxfde6p11/HM5imFrjhH9OAWvfFrm9axB4/K+9g4rR5I6J+zB0epdRuO0KAE7ePAgU6ZMYefOnVStWpXVq1fTrVs3m/3VWK1aNbRaLZcvX7ZJ+cJxaDQamjVrZu8whANTFIX//XWNGb+ew6hA1WIeLOoTgn9B2zzFLYQQz8pSArZv3z4+++wzdu/eTY0aNVi/fj2dO3e2dmypHDp0CJ1OR5kyZWx+LCFE7vU4Wc/YDSfZdvIuAK/VLM70zkG4avNWX0IhhP1kOgFr1qwZf/31F3Xq1GHr1q28+uqrtoiL1157jVq1alGtWjXc3Nw4ceIEX375JdWqVaNTp042OaZwHIqimPr7ubi4SF8dkWHXoh4zaGUYF+7H46RW8Un7KvStV0rqkBAiW2U6Adu3bx8Ap0+fpkePHs/dVqVSZXnqoDp16rB27VpmzpyJ0WgkICCAAQMGMHr06DzX4VqkptPpTJ3wJ0yYIHVCZMjuc/cZsfY48Ul6fAu4sLB3TWoFFLR3WEKIPCjTCdikSZNsEUcq48ePZ/z48dlyLCFE7mY0KszdfYm5uy8BEFLKmwW9a1LYw9XOkQkh8qocm4AJ8TxarZaPPvoIyPgTJyJvik3UMXLtcXafjwCgT72SfNKuKs5OUm+EEPZjtamIhMhOKpUqzw2+KjLvwr14Bq48wvUHCTg7qZnWKZCutfztHZYQQpDpPwGjoqI4efJkquUnT56kS5cuVK1alRYtWvDLL79YJUAhhMiKrSfv0Gn+31x/kEBxLzc2DGogyZcQIsfIdAvYhAkTCAsL4+jRo6ZlN27coHHjxiQkJFC9enVOnz5N586d+eOPP2jSpIlVAxYCnkxFtHv3bgBatGghrWHCRG8w8sVvF/hu31UAGpbzYV7PmhR0lwc1hBA5R6ZbwP7++2969+5ttuzrr7/m0aNHbNu2jSNHjnD9+nXq1atnekpNCGszGAwcOHCAAwcOYDAY7B2OyCEePErmjWX/mpKvgU3L8EP/OpJ8CSFynEy3gN2+fZvAwECzZb/88gvBwcG0atUKADc3N4YNG8aYMWOsE6UQ/6HRaKhfv77ptRAnbz1k0Mow7sQmkc9Zw5ddqtO2WlF7hyWEEGnKdAKmUqnMBiy8f/8+165dY8SIEWbblShRgqioKIsDFCItGo3GlPAL8dPhcD7afJoUvZHShdxZ3DeECoUL2DssIYRIV6ZvQVasWJFdu3aZft66dSsqlSrVl+Hdu3fx9ZUJbYUQtpOiN/LhxlOM3XCSFL2RlpULs3lYQ0m+hBA5XqZbwN5//33eeOMNYmJiKFKkCAsXLqRcuXK0bNnSbLvffvuNoKAgqwUqxLMURcFoNAJPxgGTaWTynnuxSQz5MYyjNx+iUsHIlhUY+lI51GqpC0KInC/TCVjv3r25ffs28+bNIyYmhpCQEBYsWICT0/8VFRERwS+//MKUKVOsGqwQT+l0OmbMmAHIVER50b/Xohny41GiHiXj4erE3B41eKmSn73DEkKIDMvSQKxjx45l7Nix6a738/Pj/v37WQ5KCCHSoigKy/+5zrRt59AbFSoVKcDiviGU8nG3d2hCCJEpMhK+cEharZZx48aZXovcLzHFwIcbT/HzsdsAdKhejJmvB5HPWT7GhBCORz65hENSqVS4uspEynlFeHQCA1eGcfZuHBq1iomvVuathgHS908I4bAkARNC5Gh/Xozk/TXHiE3U4ePuzLe9alK/rI+9wxJCCItIAiYcksFg4K+//gKgcePGMhhrLqQoCgv2XmHWzgsoClT392JRn5oU9XSzd2hCCGExScCEQzIYDPz5558ANGjQQBKwXCY+ScfodSf47cyTh3l61PZncoequGrlOgshcgerJGA7duzg8OHDhIeH89FHH1GyZEn27dtHuXLlKFasmDUOIYQZtVpNrVq1TK9F7nE54hEDVx7hSuRjtBoVUzoE0qtuSXuHJYQQVmVRAhYZGUmnTp04ePAg/v7+hIeHM2jQIEqWLMmyZctwd3dn/vz51opVCBMnJyfatm1r7zCEle04fY/R607wKFlPEQ9XFvSpSc2S3vYOSwghrM6ipoMRI0YQGRnJ6dOnuXz5MoqimNa1bNmS3bt3WxygECL3MxgVvvztPINWhfEoWU+d0gX55b1GknwJIXIti1rAtm3bxpIlS6hcuTIGg8Fsnb+/P7du3bIoOCFE7vcwIYX3Q4+z72IkAP0bBjDx1cpoNXJrWQiRe1mUgOn1etzd0x6BOiYmRqaHETaTkpLC559/DsC4ceOkrjmoM3diGbQqjPDoRFy1ama+Vo1ONYrbOywhhLA5i/7ErFu3LsuWLUtzXWhoKA0bNrSkeCGey2g0mibkFo5n07HbvL7wH8KjE/Ev6MbPgxtK8iWEyDMsagGbOnUqL730Ek2aNKFLly6oVCo2bdrEjBkz2LZtG/v377dWnEKY0Wq1fPDBB6bXwnHoDEambz/H939fB6BpBV/m9gjGK5+0Ygoh8g6LWsDq16/Pnj17UKlUjBo1CkVRmDZtGnfv3mX37t3UrFnTWnEKYUalUuHh4YGHh4dMR+NAIuKT6L3kkCn5eq95OZb1qy3JlxAiz7F4HLD69evz559/kpiYSExMDF5eXuTLl88asQkhcpGjN2MYvCqM+3HJ5HdxYna36rSqWsTeYQkhhF1Y1AK2ZMkSHj58CICbmxvFihWT5EtkC4PBwN9//83ff/+d6glckfOsPnST7osPcD8umXJ++dk8rKEkX0KIPM2iBGzYsGEUKVKEDh06EBoaSmJiorXiEuK5DAYDu3btYteuXZKA5WBJOgPjN5xk4sZT6AwKr1QtwqahDSnrm9/eoQkhhF1ZlIDdu3ePefPm8fjxY/r06YOfnx+9evVi69at6PV6iwJbt24dHTt2pESJEri7uxMcHMyyZcvMBnsVeZdaraZ69epUr15dpiLKoe7GJtL9u4OEHg5HrYKxr1RkYZ+a5HeRKWiFEMKiT0Jvb28GDBjAgAEDuHfvHmvXrmXt2rV06NABb29vunTpwuLFi7NU9uzZswkICOCrr77C19eX33//nQEDBhAeHs6kSZMsCVvkAk5OTnTq1MneYYh0HLz6gGGrjxL1KAVPNy3zetagSQVfe4clhBA5hkqxQZPSzp07eeutt7h7926Wbw9FRUVRqFAhs2Xvvvsua9euJSYmJkOtHnFxcXh6ehIbG4uHh0eW4ngRo9FIREQEfn5+0hIjsk1OrXeKorB0/zVm/Hoeg1GhclEPFvcJoaSP9A11dDm1zonczRHrXUZzD6udza1bt5g1axa1atWiTZs2JCcn8+6772a5vP8mXwA1atQgLi6Ox48fWxKqEMIGElL0vB96nKnbzmEwKnSuUZyfBzeQ5EsIIdJg0S3IyMhI1q1bx5o1azhw4AD58uWjU6dOfPbZZ7z88ss4OVm3r8f+/fspXrw4BQoUSHN9cnIyycnJpp/j4uIA246YbjQaURRFRmTPZikpKcyZMwd4Mil8XpuKKKfVu+sPHjP4x2NcuBePk1rFh69W4o36pVCpVDkmRmGZnFbnRN7giPUuo7FalCEVK1YMJycnXn31VUJDQ2nXrh2urq6WFJmu/fv3ExoayldffZXuNjNmzGDKlCmplkdGRpKUlGSTuIxGI7GxsSiK4jDNo7mBTqczJduRkZF5bjT8nFTv/rkWy6Qd14hPNuCTz4lpbcsSXDwfkZGRdo1LWFdOqnMi73DEehcfH5+h7SzqA/bDDz/QuXNnm/WveurWrVvUrVuXypUrs3PnznQvQlotYP7+/sTExNi0D1hkZCS+vr4OUzlyA0VRiI6OBqBgwYJ5bjT8nFDvjEaF+XuvMGf3JRQFapb0Yn6vGhT2sM0fYcK+ckKdE3mPI9a7uLg4vL29X9gHzKIWsDfffNOS3TPk4cOHtGnTBh8fHzZs2PDcC+Di4oKLi0uq5Wq12qYXTqVS2fwYIjVf37z9VJ09611cko6Ra0+w69x9APrUK8kn7ari7CS/A7mZfNYJe3C0epfRODOdgFWrVo3Vq1cTGBhItWrVnrutSqXixIkTmT2ESWJiIu3atSM2NpYDBw7g6emZ5bKEENZx8X48A1eGcS3qMc5OaqZ2CqRbLX97hyWEEA4l0wlYSEgI7u7uANSsWdNmt370ej3dunXj3Llz/PXXXxQvXtwmxxGOyWAwEBYWBjypkxqNxs4R5Q3bTt5lzPoTJKQYKO7lxsI+NalWwsveYQkhhMPJdAL2/fffm14vX77cmrGYGTJkCFu3buWrr74iLi6OgwcPmtbVqFEjzVuNIu8wGAz8+uuvAAQHB0sCZmN6g5Evd15g8Z9XAWhQ1od5PWvgk19+D4UQIiss6gP21ltv8fHHH1O6dOlU627cuMGUKVNYtmxZlsreuXMnAKNGjUq17tq1awQEBGSpXJE7qNVqqlSpYnotbCf6cQrvrTnK35cfADCwSRnGtK6Ik0bedyGEyCqLnoJUq9UcPHiQOnXqpFoXFhZGnTp17DpRsoyEL3Kr7Kp3p27FMmhVGLcfJpLPWcMXXarRrloxmx1P5FzyWSfswRHrXUZzD4tHSk2vD9ilS5fw8fGxtHghhJ2sD7vFxI2nSNEbKV3IncV9Q6hQOO1BkIUQQmROphOwhQsXsnDhQuBJ8tWrVy/c3NzMtklKSuL69et07drVOlEKIbJNit7I1G1nWXHgBgAtKvkxu3swnm55a7BbIYSwpUwnYMWKFSMkJASA06dPU7FixVTjMTk7O1O5cmXefvtt60QpxH/odDrmzZsHwHvvvZfnRsK3lftxSQz58ShhN2IA+KBlBd5rXg61Om8NdCuEELaW6QSsY8eOdOzY0fTzJ598kmYnfCFsSVEU03QPFnRjFM84fD2aIT8eJTI+mQKuTsztEUzzSoXtHZYQQuRKFvUBe3ZICiGyk5OTEwMHDjS9FlmnKAorDtzgs61n0RsVKhYuwOK+IQQUcrd3aEIIkWvJN5dwSGq1miJFitg7DIeXpDMwceMpfj56G4B21YryRZdq5HOWjwYhhLAliz9lV65cyeLFi7l48SJJSUmp1sfFxVl6CCGEDYRHJzBoVRhn7sShUasY/0ol3mlcOs9NbC6EEPZg0aAaq1atYsCAAQQGBhIVFUW3bt14/fXXcXZ2xs/Pj9GjR1srTiHMGAwGjh8/zvHjx+061pyj+utSJO2/3c+ZO3H4uDuz8u06DGhSRpIvIYTIJhYlYF999RUff/wx8+fPB55MH/T9999z7do1fH19yZ8/v1WCFOK/DAYDmzdvZvPmzZKAZYKiKCzYe5k3l/3LwwQd1Ut48st7jWhQtpC9QxNCiDzFogTs0qVLNGzYEI1Gg0ajMd1uLFCgAOPGjeObb76xSpBC/JdaraZ8+fKUL1/eYUZHtrdHyXqG/HiUL3ZcwKhAt1olWDuwPsW83F68sxBCCKuyqA+Yp6cnycnJABQvXpyzZ8/SrFkz4EkLxYMHDywOUIi0ODk50atXL3uH4TCuRD5i4MowLkc8QqtRMaVDID3r+MstRyGEsBOLErBatWpx8uRJWrduTYcOHZgyZQpGoxGtVsvMmTOpV6+eteIUQmTR72fvM3LtceKT9RT2cGFhnxBqlvS2d1hCCJGnWZSATZgwgRs3nkxX8umnn3Ljxg1GjBiB0Wikdu3aLF682CpBCiEyz2BUmLvrIt/8cRmA2gHezO9dE78CrnaOTAghhEUJWL169UytXF5eXmzevJnk5GSSk5OfOwO4EJbS6XQsWrQIgEGDBslURP8Rm6Bj+Npj7L0QCUC/BgF82LYyWo30lxNCiJzA6qMturi44OLiYu1ihTCjKArR0dGm1+L/nLsbx8CVYdyMTsBVq2bGa0F0rlHC3mEJIYR4RqYTsKCgoAx33FWpVJw4cSLTQQnxIk5OTvTv39/0Wjyx+fhtxm04SZLOSAlvNxb3DaFqMU97hyWEEOI/Mv3NFRISIk9OCbtTq9WULFnS3mHkGDqDkZm/nmfp/msANC5fiG961MDb3dnOkQkhhEhLphOw5cuX2yAMIURWRT1KZuiPRzl07ckt2aEvlWXkyxXRqOUPJSGEyKnk3o1wSEajkXPnzgFQuXLlPDsY6/Hwhwz58Rj34pLI7+LErK7VeSVQJikXQoiczqIEbN++fS/cpkmTJpYcQog06fV61q9fDzwZDsXZOe/datt0KpLZe8NJMSiU9XVncd8QyvkVsHdYQgghMsCiBKxZs2aoVCqzp9D+2z9M5ukTtqBSqShVqpTpdV6SrDcwafMZQg+HA9C6amFmda1OAVcZikMIIRyFRQnYsWPHUi2LiYnht99+Y8OGDTIQq7AZrVZLv3797B1Gtrsbm8igVUc5Ef4QFTCqVQWGNCuHWvp7CSGEQ7EoAatevXqay5s1a0a+fPlYvHgxL730kiWHEEL8fwevPmDoj0d58DgFTzctU1qXokOdspJ8CSGEA7JZz+UGDRqwfft2WxUvRJ6hKApL91+j9/8O8eBxClWKerBlaAPqBcj4XkII4ahs9hTkpk2bKFiwoK2KF3mcTqdj6dKlALz99tu5diqihBQ9E34+xebjdwDoXKM40zsH4eKkIiLikZ2jE0IIkVUWJWAdOnRItSwlJYULFy5w8+ZNvvjiC0uKFyJdiqJw//590+vc6MaDxwxcGcb5e/Fo1Co+aluZfg0CUKlUGI1Ge4cnhBDCAhYlYHFxcameQHN1daVly5Z06dKF1q1bWxTc5cuXmTVrFgcPHuT06dNUqlSJ06dPW1SmyB2cnJzo06eP6XVus+dCBMPXHCMuSU+h/C7M71WDumV87B2WEEIIK7Hom2vv3r1WCiNtZ86cYdu2bdStWxej0Sh/9QsTtVpN2bJl7R2G1RmNCvP3XGb2rosoCtQo6cXC3iEU8XS1d2hCCCGsyOKmg/DwcDZt2kR4eDhJSUlm61QqFXPnzs1y2e3bt6djx44A9OvXjyNHjlgUqxA5WVySjlE/neD3s09urfauW5JP2lfBxUlj58iEEEJYm0UJ2E8//USfPn1QFAU/P79Uo5FbmoDl1ellxIsZjUYuX74MQLly5Ry+rly6H8/AlWFcjXqMs5OazzpWpXttmWxcCCFyK4sSsIkTJ9K5c2e+++47PD3lkXiRffR6PWvWrAEcfyqiX0/dZfS6EzxOMVDM05WFfUKo7u9l77CEEELYkEUJWGRkJO+++26OSb6Sk5NJTk42/RwXFwdg0/5jRqMRRVGkf1o2UxSFokWLml474vtvMCrM2nmRxfuuAlC/jA/f9KiOT36XF56P1DuR3aTOCXtwxHqX0VgtSsBeeeUVDh48SIsWLSwpxmpmzJjBlClTUi2PjIxM1T/NWoxGI7GxsSiK4vC3wRzN02FQYmJi7BxJ5j1M1PPxr1c5fDMegF41CzOkUXEMCbFEJLx4f6l3IrtJnRP24Ij1Lj4+PkPbWZSALVq0iO7du5OQkECLFi3w8vJKtU3NmjUtOUSmTJgwgZEjR5p+jouLw9/fH19fXzw8PGxyTKPRiEqlwtfX12Eqh7Cv07djGbz2LLcfJuKm1fD560G0q1Y0U2VIvRPZTeqcsAdHrHeurhl7at2iBCw+Pp6EhARmzJjBzJkzzdYpioJKpcJgMFhyiExxcXHBxcUl1XK1Wm3TC6dSqWx+DJE7bAi7xcSNp0jWGwnwycfivrWoWKRAlsqSeieym9Q5YQ+OVu8yGqdFCdgbb7zBzZs3mTdvHhUqVHDojtDCseh0OlauXAlA3759c/xURCl6I1O3nWXFgRsANK/kx9fdg/F0y9lxCyGEsA2LErB///2X1atX06lTJyuFYy4hIcE0ofeNGzeIi4tj/fr1ADRt2hRfX1+bHFfkfIqiEB4ebnqdk0XEJTHkx6McufGkr9rwFuUZ3qI8arXqBXsKIYTIrSxKwMqXL49er7dWLKlERETQtWtXs2VPf96zZw/NmjWz2bFFzubk5ET37t1Nr3OqsBvRDF51lIj4ZAq4OjGnezAtKhe2d1hCCCHszKJvrtmzZzN69GgCAwOpVKmStWIyCQgIyPGtG8I+1Gq1TeqctSiKwqqDN5jyy1n0RoUKhfOzuG8tShdyt3doQgghcgCLErARI0Zw7949AgMDKVasWKqnIFUqFSdOnLDkEEI4nCSdgY82nWZ92C0A2lYryhevV8PdJee21AkhhMheFn0jhISEoFJJPxaR/YxGIzdv3gSgZMmSOebpmFsxCQxaFcbp23GoVTC+TSUGNC4jvydCCCHMWJSALV++3EphCJE5er2eH374Acg5UxHtvxTFe2uOEpOgo6C7M9/2rEGDcoXsHZYQQogcSO6JCIf0dGC+p6/tSVEUFu+7yhc7zmNUIKi4J4v6hlDcy82ucQkhhMi5LErA9u3b98JtmjRpYskhhEiTVqtlyJAh9g6Dx8l6xqw/wfZT9wDoGlKCzzoF4qrV2DkyIYQQOZlFCVizZs1QqVRmTyr+tzUiO0fCFyI7XY18xMCVYVyKeIRWo2JS+6r0rlvS7i1yQgghcj6LErBjx46lWhYTE8Nvv/3Ghg0bWLx4sSXFC5Fj/X72PiPXHic+WY9fARcW9qlJSKmC9g5LCCGEg7AoAatevXqay5s1a0a+fPlYvHgxL730kiWHECJNOp2O0NBQAHr06JFtUxEZjQpzdl/im92XAKgTUJBve9fAr0DGJl8VQgghwIad8Bs0aMCXX35pq+JFHqcoClevXjW9zg6xCTpGrD3GnguRAPRrEMCHbSuj1eSMITCEEEI4DpslYJs2baJgQbklI2zDycmJzp07m17b2rm7cQxcGcbN6ARcnNTMeC2I12qWsPlxhRBC5E4WfXN16NAh1bKUlBQuXLjAzZs3+eKLLywpXoh0qdVqqlWrli3H2nLiDuPWnyRRZ6CEtxuL+oQQWNwzW44thBAid7IoAYuLi0v1xJerqystW7akS5cutG7d2qLghLAnvcHIzF/P87/91wBoXL4Q3/Sogbe7/Qd9FUII4dgsSsD27t1rpTCEyByj0cjdu3cBKFq0qNWnIop6lMyw1Uc5eDUagCHNyjKqVUU0ahliQljOYDCg0+nsHUamGI1GdDodSUlJOWbqL5H75bR6p9Vq0WisM86jRQnY7t27uXnzJv3790+1bvny5ZQqVUqeghQ2odfr+d///gdYfyqi4+EPGbwqjLuxSbg7a/iqW3VeCSxqtfJF3qUoCvfu3ePhw4f2DiXTFEXBaDQSHx8vY92JbJMT652XlxdFihSxOB6LErAPP/yQTp06pbkuMjKSJUuW8Pfff1tyCCHSpFKp8PT0NL22ltB/b/LJ5jOkGIyU8XXnu74hlPMrYLXyRd72NPny8/MjX758OeYLJSMURUGv1+Pk5ORQcQvHlpPqnaIoJCQkEBERATy5+2IJixKws2fPMnXq1DTX1axZk2nTpllSvBDp0mq1jBgxwmrlJesNTN5yljX/3gSgVZXCfNWtOgVcs2d8MZH7GQwGU/Ll4+Nj73AyLSd9EYq8I6fVOze3J3P8RkRE4OfnZ9HtSIsSMJVKRWxsbJrrYmJiZBoi4RDuxiYyaNVRToQ/RKWCUS9XYEizcqilv5ewoqd9vvLly2fnSIQQlnj6O6zT6SxKwCzq0Va3bl3mz5+faiBMRVFYsGABdevWtaR4IWzu4NUHtJ+3nxPhD/F007K8fx2GNS8vyZewmZzwV7wQIuus9TtsUQvYlClTeOmll6hWrRr9+vWjaNGi3LlzhxUrVnDx4kV5SlLYjF6vZ/369QB06dIl04OxKorCsr+vM337OQxGhcpFPVjcJ4SSPtI6IYQQwvYsSsDq16/P7t27GTt2LOPGjcNoNKJWq03L69WrZ604hTBjNBq5cOGC6XVmJKYYGP/zSTYfvwNAp+BizHitGm7O1nm0WAghhHgRiwfVaNiwIX///Tfx8fHcunWLuLg4/vrrLxo2bGiN+IRIk0ajoV27drRr1y5T9+BvPkig84K/2Xz8Dhq1ikntq/B192BJvoTIJs2aNaNdu3aZ3i8gIIBhw4bZICL7Cg4Opl+/fpna5/r166hUKtNdgOxSp04d5s+fn+a6W7dukT9/flQqFVFRUWbrFEVh5syZlCxZEjc3N+rXr8/BgwdfeLzJkyejVqsJCAhI8w/thg0bolKpMv3+pef69eu4u7tz/fp1q5T3IlabRM/Nzc30dIAQtqbRaAgJCcnUPnsuRDAi9DixiToK5Xdmfq+a1C3jeE+jCeHIFixYkKWOyxs3bsTb29sGEYmM2LhxI9evX+ett95Kc/2oUaPInz8/jx8/TrXu888/Z9KkScycOZNq1aoxf/58WrVqxfHjxylTpsxzj6vVaomKimLfvn1m44reuHGDAwcOkD9/fstO7BkBAQF06dKFSZMm8cMPP1it3PTYf1hZIWzMaFSYt/sSby0/TGyijmB/L7a+11iSLyHsoEqVKlSsWDHT+9WoUYOAgADrByQyZM6cOfTs2TPNhpY//viDXbt2MWbMmFTrkpKSmDFjBqNGjeKDDz6gRYsWhIaGUrBgQWbNmvXC4zo7O9O6dWvWrFljtjw0NJSqVatStmzZrJ/UMxITEwF4++23WbNmDZGRkVYp93kkARMOSVEUIiIiiIiISPUU7rPiknQMXBXGV79fRFGgV92SrB1YjyKertkYrRC5S79+/QgMDGTXrl1Uq1YNNzc3mjZtyvXr14mOjqZbt254eHhQtmxZ1q5da7bvf29BTp48mfz583Pq1CkaNWpEvnz5CAwM5LfffjPb77+3IC2JIa3bmZs2bUKlUpluPz29zbdy5UoGDRqEl5cXfn5+zJ49G3iSAFSsWBEPDw9ee+21DM1u8M8//xASEoKrqyuBgYH8+uuvaW534MABmjdvjru7O56envTq1cs0+Gd6VqxYQaNGjShYsCDe3t40a9aMf//917T+1KlTqFQqfv/9d7P9DAYDxYsXZ+zYsemWfe3aNf766y+6dOmSap1Op2PYsGFMmTIlzfHt/vnnH+Li4ujWrZtpmbOzM6+99hrbt29/7jk91b17dzZs2GA2fdfq1avp1auX2XYZPcende7ff/+lfv36uLq6mm6tNmrUCB8fH1avXp2h2CwhCZhwSDqdjoULF7Jw4cJ059S7HBFPp2//5vez93HWqPn89SCmdw7CxUn6e4mcJSUlhZSUFLM/JgwGAykpKej1+mzZNrPu3bvHqFGj+PDDD/nxxx+5cuUKvXv3pnv37gQFBbFhwwZCQkLo06cPN27ceG5ZOp2O3r17069fPzZu3Iifnx+vv/46Dx48yLYY0vPhhx/i5ubGunXr6Nq1K6NGjWLChAnMnTuXL774gvnz5/PHH388N4F5Gmvr1q1xcXHhp59+YsyYMQwePJjbt2+bbXfgwAGaNWuGp6cna9eu5bvvvuPw4cN07NjxueVfv36dN954g3Xr1rF69WpKlixJkyZNuHjxIgBBQUHUrVuXZcuWme23Y8cO7ty5k+6tRXgy7aCTkxN16tRJtW7u3LloNBoGDx6c5r7nz58HoFKlSmbLK1euzM2bN00tT8/Trl07kpOT2blzJ/BkEPiTJ0/So0cPs+0yc44pKSn06tWLPn368Ouvv9KqVSsA1Go19erVS5XE2YLV+oAJkd2eN6Dlr6fuMnrdCR6nGCjq6cqiPiFU9/fKvuCEyIQZM2YAMHr0aNzd3QH4+++/2bNnDzVq1KBDhw6mbWfNmoVOp2P48OF4eXkBcPjwYX777TeCgoJ47bXXTNvOnTuXhIQEBg8ejJ+fHwDHjx9n69atVKxYMdUXWGZER0fz559/UrVqVQDu3LnDe++9x7hx4/j4448BqF27Nj///DObNm1i+PDh6ZaVkpLCzJkzefXVVwGoWLEipUuX5tdff6VPnz7ZEkN66tevz9dffw1A8+bN2bBhA/PmzePGjRumFp8TJ06wdOlSvvvuu3TLmTNnDiqVil9//dU0jZq/vz8tWrQw2278+PHUqlWLn3/+2TTeVFBQEIGBgWzfvt30Hv3XJ598YnptNBp5+eWX+ffff1m+fDnTp08HYMCAAQwbNoyYmBhTf7ply5bRoEGDVAnSsw4fPkyFChVwcXExW37nzh0+/fRTNm3alG6/vpiYGFxcXHB1Nb/r4O3tjaIoxMTEvLD/eL58+ejYsSOhoaG0bduWNWvWUL9+fUqXLp1q24yeo06nY9q0aXTv3j1VGdWrV0/3YQNrkhYw4ZCcnZ0ZM2YMY8aMMZuI22BU+HzHeQb/eJTHKQbql/Hhl/caSfIlhJUVK1bMlPgAVKhQAYCWLVualj29bRceHv7cstRqtdl+AQEBuLm5cevWrWyLIT0vv/yy6bVGo6FMmTIEBweb3W6rUKECDx8+5NGjR+mWc+jQIV566SVT8gVPErqCBQuafk5ISODvv/+ma9euGAwG9Ho9er2eChUq4O/vz+HDh9Mt/9y5c3Tu3JnChQuj0WjQarVcuHDB1AIG0KNHD7Raren2WlRUFL/88gtvv/32c9+Du3fv4uvrm2r56NGjefnll2nevPlz97eGHj16sHnzZhITEwkNDaVnz57pbpfRc2zbtm2aZRQqVIioqKh0765YS45uATt//jzvvfce//zzDwUKFOCNN95g6tSpZl+4QjwV8ziF90OP8delJ49AD2hcmnGvVMJJI39niJxtwoQJwJMnvp5q2LAh9erVQ602r7+jR49OtW3t2rWpWbNmqm2ftvg8u21wcDBBQUGpts2sp61vTz39XE5reVJS0nPLcnNzS/W5npH9rBlDZo7x3yfvnh43KSkp3afy7t69S7ly5VItf9oyCf83hd8HH3zABx98kGrb9JLI+Ph4WrVqha+vL7Nnz6ZUqVK4urryzjvvmJ23u7s7PXv2ZOnSpQwdOpRVq1bh4uJi1j8rLUlJSalavw4cOMD69es5dOiQqf9bQkICAHFxceTLl498+fLh7e1NcnIySUlJZq1gMTExqFSqDD/Z2rp1a7RaLZ988gnXrl1LN+aMnmO+fPnSvVZPzzUpKcnsd8facmwCFhMTQ/PmzSlfvjw///wzt2/fZuTIkSQkJPDtt9/aOzyRw5y+HcvAlWHcfpiIm1bD512q0aF6MXuHJUSGpPVHpUajSfO2jq22zUtcXV1JSUkxWxYTE2PTYxYtWjTNjvTPLvPy8kKlUjFx4kQ6deqUattChQqlWfaBAwe4desWW7dupXr16qblsbGxlChRwmzbAQMG8N1333HixAm+//57unXr9sKhHAoWLJhqbKwLFy6g0+moWbNmqu3Lli1L9+7dCQ0NNd32u3Dhglls58+fN40LlhFarZbXX3+d2bNn06JFCwoXLpzuthk5x+dNJ/Tw4UOcnZ0pUKBAhmLLqhybgC1atIi4uDg2btxoaqLV6/UMGTKEiRMnUqyYfLnmZXq9ni1btgBg9K/Jh5vPkaw3UsonH4v7hlCpiIedIxRC5FQlSpTg3LlzZsuedvC2lTp16rBw4UJiY2NNtyH/+OMPoqOjTdu4u7tTv359zp07x9SpUzNc9tOO7M8m3P/88w/Xr183u0ULUKtWLYKDg3n//fc5efIkCxYseGH5FStWZM+ePWbLXnnllVTLduzYweeff86mTZsoX748AA0aNMDDw4N169aZEjCdTsfPP/+cbn+29LzzzjtEREQwYMCA526XlXN81vXr1023s20pxyZgv/76Ky1btjS7P96tWzcGDRrEzp07rTbyrXBMBoOBU6dOAbDyXyf0aGheyY+vuwfj6Wa7JmMhhOPr0qULgwcPZsqUKTRo0IDt27dz4MABmx5zxIgRzJ8/nzZt2jB+/HhiYmKYNGlSqqEbvvzyS5o3b0737t3p0aMH3t7e3Lp1i99//53+/fvTrFmzVGXXq1eP/PnzM3ToUMaPH8/t27eZNGkSxYsXTzOWAQMGMHToUCpWrJihWWsaNmzIp59+yq1bt0wtakWKFKFIkSJm2z1tJWvYsKGptc7V1ZUJEyYwefJkfH19CQoKYsGCBTx48MB0Oz2j6tSpw6ZNmzK0bWbP8VlHjhyhcePGmdonK3JsAnb+/PlUj8V6eXlRtGhR02Ot/5WcnExycrLp57i4OODJEyGZnS8wIxJS9Lyx7DA6nQ6t9grWmR9dPE+S3siDR8lEP06iHP4AGFDxfvNyvN+8HGq1yibXOqcxGo0oipInzjW3eHrNnv5zRP+N+9mfn75O6/zSW5bW/8/b73nlZCaGt99+m8uXL7Nw4UK+/vprunfvzvTp0+ndu3eqa5Te9crocZ8qUqQI27dvZ/jw4XTt2pWyZcvy7bff8tFHH5mVUb9+ff766y8mT55M//79SUlJoUSJEjRv3pyyZcumGZufn59paIuOHTtSoUIFFi1axBdffJHme9upUyeGDh1K//79M1QXmzZtio+PD9u3b39u61N678PYsWMxGo3MmjWLyMhIgoOD2bFjB6VLl37u8TNSR/67bUbO8XnlRUREEBYWxvTp09M93tPzSy+3yOjnskrJoZ8EWq2Wzz77jPHjx5stDwwMpEGDBmk+7jt58mSmTJmSavnFixdtci/3cbKBFguPW71ckXGFC2gZ/VJJGpfxsnco2cpoNJpuZVjamVpkD51OR2xsrKmDtKNRFAWDwYBGo3lu/xmR8y1fvpwhQ4Zw9erVVK1Y6Rk7dizHjx+3+a3a/8pqvcvKOQIsXLiQb775hrNnz6Z7vKSkJG7cuIGnp2eanfTj4+OpUKECsbGxeHik3x0mx7aAZcWECRMYOXKk6ee4uDj8/f3x9fV97puQVTqDkYW9gomNi8PTwwOVfBHanLNGjU9+Z3zcn/xz0ebNzsRGoxGVSoWvr68kYA4iKSmJ+Ph4nJyccHJy3I9eWz4VJmzr+vXrXLp0ienTp9O9e/dUHfSfZ8yYMZQvX54zZ86YdabPLhmtd5aco9Fo5Ntvv+Xjjz9+7vGcnJxQq9X4+Pik+cdURv/AyrGfAt7e3sTGxqZaHhMTY9Yv7FkuLi6pHpWFJ2PM2OJLykWtpnVgUSIiNPj5+ckXYTZSFIXY2FiSE8HT0zNP/kWuUqlsVreF9anValQqlemfo1EUxRS3I8YvYMqUKaxevZoGDRrw1VdfZeo6FitWjOXLlxMVFZWt1z+z9c6Sc7x79y79+vWjb9++z93v6e9wep+/Gf1MzrEJWKVKlVL19YqNjeXu3bvPHbFX5A06nY65c+cCT1o+ZWw4IYR4vuXLl7N8+fIs79+1a1frBWMjlpxjiRIlmDhxonUDeo4c+6dzmzZt2LVrl9kEp+vWrUOtVpvmbBJ5m1arldshQgghHFKObQEbNGgQ8+bNo1OnTkycOJHbt28zZswYBg0aJGOACZydnbP1LxUhrCWHPvckhMgga/0O59gWMG9vb9MM7J06dWL8+PG88847zJ49296hCSFEpj1trX06XYsQwjE9/R229A5Mjm0BA6hcuTK7du2ydxhCCGExjUaDl5eXaeqZfPnyOVRndkVR0Ov1ODk5OVTcwrHlpHqnKAoJCQlERETg5eVl8ZReOToBEyI9er2e7du3A/Dqq6869GP9Iu94Oh5RWnMC5nRPB558+jSnENkhJ9Y7Ly+vTI0tlh751hIOyWg0cuzYMeDJnGRCOAKVSkXRokXx8/NDp9PZO5xMMRqNPHjwAB8fHxn6RGSbnFbvtFqt1SazlwRMOCSNRsNLL71kei2EI9FoNA5Xb41GI1qtFldX1xzxRSjyhtxc7yQBEw5Jo9HQpEkTe4chhBBCZEnuSieFEEIIIRyAtIAJh/T0aRRwvKfJhBBCCGkBEw5Jp9Mxa9YsZs2a5XCdmYUQQohc3QL2dLTauLg4mx3DaDQSHx+fKzsI5mQpKSkkJSUBT65vXpsLUuqdyG5S54Q9OGK9e5pzvGjEfJWSi+fFuHXrFv7+/vYOQwghhBB5THh4OCVKlEh3fa5OwIxGI3fu3KF58+YcOXLkudvWrl2bw4cPZ3p9XFwc/v7+hIeH4+HhYXHM2e1F553Tj2dJeVnZN6P7ZGS7rNY5kHpnz+NZWlZm98/M9rasd45e5yB765181mV8m9z2WacoCvHx8RQrVuy5rXa5+hakWq2mRIkSODk5vfDCaTSa527zovUeHh4OUzme9aLzyunHs6S8rOyb0X0ysp2ldQ6k3tnjeJaWldn9M7N9dtQ7R61zkL31Tj7rMr5Nbvys8/T0fOE2jnFD1UJDhw61eJuMlOGIsvu8rH08S8rLyr4Z3Ufq3PM5cr2ztKzM7p+Z7aXePV92npt81mV8m9xc554nV9+CzA5xcXF4enoSGxvrUNm5cGxS70R2kzon7CE317s80QJmSy4uLkyaNAkXFxd7hyLyEKl3IrtJnRP2kJvrnbSACSGEEEJkM2kBE0IIIYTIZpKACSGEEEJkM0nAhBBCCCGymSRgQgghhBDZTBKwbPbgwQPatGlDxYoVCQoK4q233iI5OdneYYlcbuDAgRQvXhyVSmXvUEQude7cOWrXrk2FChVo3rw5d+/etXdIIg9w5M82ScCymUqlYsKECVy4cIETJ06QmJjIt99+a++wRC7Xu3dvjh49au8wRC42aNAgPvroIy5evEjHjh0ZP368vUMSeYAjf7ZJAgZcvnyZQYMGERwcjJOTE4GBgWlud/78eV5++WXc3d0pUqQIY8eOJSUlJVPHKliwIE2aNAGeTJVUq1Ytbt68afE5CMeSnXUOoEmTJhQuXNjSsEUuY616eP/+fS5dukTHjh0BePvtt9m4cWO2nINwPNb8/HPkz7ZcPRdkRp05c4Zt27ZRt25djEYjRqMx1TYxMTE0b96c8uXL8/PPP3P79m1GjhxJQkJClluwkpKSWL58OV9++aWlpyAcjL3qnBDPslY9vHXrFv7+/qZ98ufPj6urKw8ePMDHxyfbzkc4Bvn8+/8UoRgMBtPrN998U6latWqqbaZPn664u7srDx48MC1bvHixotFolNu3b5uW1ahRQ/Hx8Un1r3Xr1qmO2a1bN+W9996zwRmJnM4edU5RFEV+5cWzrFUPjxw5otSpU8dsP19fXyUqKspGkQtHZs3Pv6cc8bNNbkHy5Fbgi/z666+0bNmSggULmpZ169YNo9HIzp07TcuOHj1KVFRUqn87duwwK2/o0KGo1WrmzJljtfMQjsMedU6I/7JWPSxRogTh4eGm9Y8ePSIpKUlav0SarPn558gkAcug8+fPU6lSJbNlXl5eFC1alPPnz2eqrLFjxxIeHs6KFSsyVBFF3mTNOidEVmWkHhYuXJhy5cqxefNmAJYuXUqnTp2yO1SRi+SFzz/59s+gmJgYvLy8Ui339vYmOjo6w+WcOXOGL7/8kitXrlC7dm2Cg4MZM2aMFSMVuYW16hxAv379KFGiBPCktaJv377WCFHkARmthwsXLuSzzz6jfPnybNq0iZkzZ2ZjlCK3yWi9c+TPNumEn82qVq2KIvOfi2y2fPlye4cgcrmqVaty5MgRe4ch8hhH/myTFrAM8vb2JjY2NtXymJgYs3vUQliL1DmRE0g9FPaQF+qdJGAZVKlSpVT3nWNjY7l7926q+9RCWIPUOZETSD0U9pAX6p0kYBnUpk0bdu3axcOHD03L1q1bh1qtplWrVvYLTORaUudETiD1UNhDXqh3KkU6JJGQkMD27dsBmD9/PleuXGH27NkANG3aFF9fX2JiYqhatSoVKlRg4sSJpkHhevfunXsGhRPZRuqcyAmkHgp7kHr3/9l5HLIc4dq1awqQ5r89e/aYtjt79qzSokULxc3NTfHz81NGjx6tJCcn2y9w4bCkzomcQOqhsAepd09IC5gQQgghRDaTPmBCCCGEENlMEjAhhBBCiGwmCZgQQgghRDaTBEwIIYQQIptJAiaEEEIIkc0kARNCCCGEyGaSgAkhhBBCZDNJwIQQQgghspkkYEIIIYQQ2UwSMCGEXVy/fh2VSsX69esztd/evXuZPn16quWTJ08mf/781grPYahUKtO//fv3m63T6XTMnz+f+vXr4+npiYuLC6VLl+aNN97g77//tloM48ePN8XQrl07q5UrRG4mCZgQwqGkl4C988477Nmzxw4R2d97773HgQMHqF69umlZUlISrVu3ZtSoUdSpU4cff/yRnTt38uGHH3L9+nUaNWpEcnKyVY4/dOhQDhw4QI0aNaxSnhB5gZO9AxBCCGsoUaIEJUqUsHcYdlGyZEnq1atntuzjjz/mzz//ZOfOnbRo0cK0vGnTprzzzjt8//33qFQqi46bmJiIm5sb/v7++Pv74+HhYVF5QuQl0gImRC7Xr18/AgMD+fXXXwkMDMTV1ZWQkBAOHjxotp3RaGTq1KkEBATg4uJCpUqVWLx4sdk2T2/zHT58mDp16uDq6krlypXZunWr2XYBAQEMGzbMbNmmTZtQqVRcv3493VhXrFhBo0aNKFiwIN7e3jRr1ox///3X7PhTpkzh8ePHpltezZo1M4vtWTdu3KBLly54enri7u5O69atOXXqVJqxzp8/n1KlSuHp6UmnTp2IjIx87vt69+5d3nrrLcqUKYObmxvly5dn4sSJqVqVYmNj6dOnDwUKFMDPz4+JEyfy1VdfpUp+Hj58yJAhQyhatCguLi6EhISwc+fO58aQnsTERBYuXMjrr79ulnw9q3///jg7OwPw+uuv07Bhw1TbLFy4EFdXV6Kjo4EntztnzpzJuHHjKFKkCH5+flmKTwghLWBC5Al3795lyJAhTJ48GW9vb2bOnEnr1q25dOmS6Ut0zJgxzJ07l48++ogGDRqwdetWBg0ahE6nM0umdDod3bt3Z9SoUZQuXZqFCxfSuXNnjh49SlBQkEVxXr9+nTfeeIOyZcuSkpLCmjVraNKkCSdPnqRChQq888473Lp1i9WrV/PHH38ApNvqEh8fT7NmzVCr1SxatAhXV1emTZtmKs/f39+07ZYtW7h06RLz588nKiqKDz74gPfee4/Q0NB0Y42KiqJgwYLMnj0bb29vLl68yOTJk7l79y7ff/+9abv+/fvzxx9/8MUXX1CqVCmWLFlCWFiYWVkpKSm8/PLL3L9/n2nTplG8eHFWrVpF27Zts/S+HjlyhMePH9OqVasMbT9gwADatGnDhQsXqFixomn5smXL6Ny5MwULFjQtmzt3LvXq1WPp0qXo9fpMxSWEeIYihMjV3nzzTQVQdu/ebVr28OFDpUCBAsr48eMVRVGUyMhIRavVmn5+qmfPnoqvr6+i1+sVRVGUSZMmKYCydOlS0zZ6vV4pXbq00qNHD9OyUqVKKUOHDjUra+PGjQqgXLt2TVEURbl27ZoCKOvWrUszboPBoOh0OqVixYrKhAkTTMsnTZqkuLu7p9r+v8vnzp2rqFQq5ezZs6ZlDx48UNzd3ZWRI0eaxVqiRAklKSnJrCytVqsYDIY0Y0uLTqdTfvzxR8XJyUl5/PixoiiKcubMGQVQVqxYYXZe5cuXV579+F22bJni5OSknDlzxqzMunXrKl27dn3ucQHlyy+/NFsWGhqqAMqOHTvMlj99T5/+MxqNpuUlS5ZUxo4da9r21KlTCqDs3LnT7FhVqlQx7fdfTZs2Vdq2bfvceIUQT8gtSCHyAE9PT5o3b272c8uWLTl06BAAhw4dQqfT0bVrV7P9unfvTmRkJBcvXjRb3rlzZ9NrjUZDp06dTGVZ4ty5c3Tu3JnChQuj0WjQarVcuHAh1fEz4q+//iIwMJDKlSublhUsWJCXX3451dOCTZs2xcXFxfRzlSpV0Ol0REREpFu+oijMmTOHKlWq4ObmhlarpXfv3uj1eq5evQrA4cOHAejQoYNpP7VaTfv27c3K2rlzJ0FBQVSoUAG9Xm/69/LLL5vKyIr/3uZ8//330Wq1pn8bNmwwxfT222+zYsUKU6vWsmXLKFWqVKpbmG3atLG475gQQvqACZEn+Pr6plpWuHBh7t69C0BMTIxp2X+3AUx9gAC0Wi3e3t7plpVV8fHxtGrVihs3bjB79mz++usvDh8+TPXq1UlKSsp0eTExManO52msz54PgJeXl9nPT/tGPe+4c+bMYdSoUXTs2JHNmzfz77//Mn/+fLP97t69i1arxdPT02zf//adioqK4tixY2bJkVarZerUqYSHh2fshJ9RrFgxAG7dumW2fOzYsRw+fJgtW7ak2uett94iMjKS7du3o9PpWLVqFf369UOtNv+aSOs9FUJknvQBEyIPSKtD+f379ylatCiAqY9PREQExYsXN9vm2fXwpA9YTEyMWRL2bFkArq6upKSkmB3vaZKXngMHDnDr1i22bt1qNpxCbGxslp5uLFiwIBcuXEi1/P79+2bnk1Xr1q2jQ4cOzJgxw7Ts7NmzZtsULVoUnU5HbGysWRL235a1ggULUq1aNZYuXWpxXAC1atXC3d2dnTt38tZbb5mWlyxZkpIlS6b5IESJEiV45ZVXWLZsGXq9nqioKPr3759qO2n9EsI6pAVMiDwgNjbW1Gn96c+7du2ibt26ANSpUwetVsu6devM9vvpp5/w8/OjQoUKZss3btxoem0wGNi0aZOpLHjyZX7u3DmzfV70RF9iYiLwf61PAP/880+qZMHZ2TlD41c1atSIU6dOmSVhMTEx7Nq1i0aNGr1w/xdJTEw0ixXgxx9/NPu5Vq1aAGzevNm0zGg08ssvv5ht17JlS65evUqxYsWoVatWqn+Z5ebmxuDBg1m/fj179+7N8H4DBgxg27ZtzJo1ixYtWlCqVKlMH1sIkTHSAiZEHlCwYEHefvttpkyZgpeXFzNnzkRRFEaMGAFAoUKFeO+99/jyyy9xdXWlXr16bN++ndWrVzNv3jw0Go2pLGdnZ6ZOnUpSUhKlS5dmwYIFhIeHs2nTJtM2Xbp0YfDgwUyZMoUGDRqwfft2Dhw48NwY69WrR/78+Rk6dCjjx4/n9u3bTJo0yaxFDqBy5cro9Xrmzp1LgwYN8PDwMHty76n+/fvz9ddf07ZtW6ZOnWp6CtLJycl03pZ4+eWXmTt3Lt9++y0VKlRg1apVXL582WybqlWr0rlzZ95//30SEhIoVaoU3333HYmJiWYtSW+88QaLFy+mWbNmjB49mgoVKvDw4UOOHTtGSkqKWStbRn322WeEhYXRpk0bBg4cyMsvv0yBAgWIiIgwzT7w32E72rZti6+vLwcOHGDNmjVZeFeEEBlm76cAhBC29eabbypVq1ZVtm7dqlSu/P/au39Q+uIwjuPPjXMS98ZJulkYJPeXUlJsDLLIIBkUw11QSnJTIoNsShmuwU42gz+xmPwpdU2yWZSySkzn5n5+Eznd+/v5d53f8Hu/5uc8329neur7fZ7vL7muq9bWVp2dnQXinp+ftbS0pLq6OjmOo8bGRq2vrwdiXjoNz8/P1dbWJtd11dTUpJ2dnUBcNpvVzMyM4vG4KisrNT4+rq2trXe7IA8PD9Xc3KyysjK1tLTo4OAgr7Mum81qYmJC8XhckUhEXV1dgb29dXNzo4GBAcViMZWXl6unp0eXl5eBmI90bBby+PioZDIpz/PkeZ5GR0e1t7cnM1Mmk3mNu7+/1/DwsCoqKlRdXa1UKqWFhQVVVVUF8j08PGh6evr1/9fW1qq3t1f7+/t/3INUuAvyhe/7SqfT6ujoUDQaleu6qq+v18jIiE5PTwt+MzY2Js/zAl2hH1lLogsS+IyIJP3LAhDAz0omk3ZxcWFXV1ffzrW4uGgrKyv29PRUhJ39vzo7O62kpKQoTydFIhFbXl62VCplpaXfO9TI5XLW0NBgfX19lk6nP/VdLpez7u5ui8VieYN5AeTjDhgA/KDt7W1bXV21o6Mj293dtaGhITs5ObGpqamirTE7O2uO4+SN1/go3/ctk8nY3Nyc3d7e5r1i8J75+XlzHMeOj4+/tD7wP+IOGAD8oGg0ahsbG3Z9fW2+71sikbDNzU3r7+8vSv63c8ISicSXctzd3Vl7e7vV1NTY2tpawTt1fzM5OWmDg4Nmlj/SA0BhHEECAACEjCNIAACAkFGAAQAAhIwCDAAAIGQUYAAAACGjAAMAAAgZBRgAAEDIKMAAAABCRgEGAAAQst8OqNqcbbRbOgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "SNe Ia per Msun formed within 10 Gyr: 7.522e-03\n" ] } ], "source": [ "snIa = galacticus.supernovaeTypeIaPowerLawDTDDifferential(\n", " timeMinimum=0.04, exponent=-1.0, normalization=2.0e-3)\n", "ages = np.logspace(-2, 1.13, 120)\n", "number = np.array([snIa.number(imfChabrier, 1.0, age, 0.02) for age in ages])\n", "plt.semilogx(ages, 1.0e3*number)\n", "plt.axvline(0.04, color='gray', ls=':', label='minimum delay (40 Myr)')\n", "plt.xlabel('population age [Gyr]')\n", "plt.ylabel('cumulative SNe Ia per $10^3\\\\,M_\\\\odot$ formed')\n", "plt.legend(); plt.title('A $t^{-1}$ Type Ia delay-time distribution')\n", "plt.show()\n", "print(f\"SNe Ia per Msun formed within 10 Gyr: {snIa.number(imfChabrier, 1.0, 10.0, 0.02):.3e}\")" ] }, { "cell_type": "markdown", "id": "05f45294", "metadata": {}, "source": [ "## What about full spectra?\n", "\n", "Simple-stellar-population *spectra* (`stellarPopulationSpectraFSPS`) are\n", "exposed through the same interface, but constructing that class triggers,\n", "on first use, a download-compile-run of the\n", "[FSPS](https://github.com/cconroy20/fsps) package to tabulate the spectra\n", "— too heavy for a tutorial that executes in CI. If you have a Galacticus\n", "installation that has already built its FSPS tables, the class works from\n", "Python like any other; spectral evaluation per-wavelength additionally\n", "requires an `abundances` object, which the library interface does not yet\n", "construct from Python.\n", "\n", "## Where next\n", "\n", "These classes are the atoms from which Galacticus builds its chemical\n", "evolution and feedback: `stellarPopulationProperties` integrates them over\n", "star-formation histories, and `stellarFeedback` turns them into energy\n", "injection. Combined with Tutorials 3 and 5, you now have the full chain\n", "from the power spectrum to the stars." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }