{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "fb31f955", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:00.236527Z", "iopub.status.busy": "2024-03-26T15:35:00.235979Z", "iopub.status.idle": "2024-03-26T15:35:00.607211Z", "shell.execute_reply": "2024-03-26T15:35:00.606599Z" }, "nbsphinx": "hidden" }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "id": "52481e9d", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:00.610047Z", "iopub.status.busy": "2024-03-26T15:35:00.609604Z", "iopub.status.idle": "2024-03-26T15:35:00.620752Z", "shell.execute_reply": "2024-03-26T15:35:00.620143Z" }, "nbsphinx": "hidden" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/runner/work/gala/gala/docs/tutorials/nb_setup:2: DeprecationWarning: `magic(...)` is deprecated since IPython 0.13 (warning added in 8.1), use run_line_magic(magic_name, parameter_s).\n", " get_ipython().magic('config InlineBackend.figure_format = \"retina\"') # noqa\n" ] } ], "source": [ "%run nb_setup" ] }, { "cell_type": "markdown", "id": "a455ca63", "metadata": {}, "source": [ "# Integrate an orbit with uncertainties in Milky Way model" ] }, { "cell_type": "markdown", "id": "e25f5828", "metadata": {}, "source": [ "`gala` provides a simple mass model for the Milky Way based on recent\n", "measurements of the enclosed mass compiled from the literature. See the\n", "[Defining a Milky Way potential\n", "model](define-milky-way-model.html) documentation for more\n", "information about how this model was defined.\n", "\n", "In this example, we will use the position and velocity and uncertainties of\n", "the Milky Way satellite galaxy \"Draco\" to integrate orbits in a Milky Way mass\n", "model starting from samples from the error distribution over initial\n", "conditions defined by its observed kinematics. We will then compute\n", "distributions of orbital properties like orbital period, pericenter, and\n", "eccentricity.\n", "\n", "Let's start by importing packages we will need:" ] }, { "cell_type": "code", "execution_count": 3, "id": "23a68a95", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:00.623490Z", "iopub.status.busy": "2024-03-26T15:35:00.622944Z", "iopub.status.idle": "2024-03-26T15:35:01.274740Z", "shell.execute_reply": "2024-03-26T15:35:01.274082Z" } }, "outputs": [], "source": [ "# Third-party\n", "import astropy.coordinates as coord\n", "import astropy.units as u\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Gala\n", "import gala.dynamics as gd\n", "import gala.potential as gp\n" ] }, { "cell_type": "markdown", "id": "8b0a45fd", "metadata": {}, "source": [ "We will also set the default Astropy Galactocentric frame parameters to the\n", "values adopted in Astropy v4.0:" ] }, { "cell_type": "code", "execution_count": 4, "id": "2a9bc702", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.277842Z", "iopub.status.busy": "2024-03-26T15:35:01.277425Z", "iopub.status.idle": "2024-03-26T15:35:01.284217Z", "shell.execute_reply": "2024-03-26T15:35:01.283600Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coord.galactocentric_frame_defaults.set(\"v4.0\")" ] }, { "cell_type": "markdown", "id": "21b97a77", "metadata": {}, "source": [ "For the Milky Way model, we'll use the built-in potential class in `gala` (see\n", "above for definition):" ] }, { "cell_type": "code", "execution_count": 5, "id": "c4251017", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.286823Z", "iopub.status.busy": "2024-03-26T15:35:01.286455Z", "iopub.status.idle": "2024-03-26T15:35:01.294596Z", "shell.execute_reply": "2024-03-26T15:35:01.294008Z" } }, "outputs": [], "source": [ "potential = gp.MilkyWayPotential()" ] }, { "cell_type": "markdown", "id": "5700b980", "metadata": {}, "source": [ "For the sky position and distance of Draco, we'll use measurements from\n", "[Bonanos et al. 2004](https://arxiv.org/abs/astro-ph/0310477). For proper\n", "motion components, we'll use the recent HSTPROMO measurements ([Sohn et al.\n", "2017](https://arxiv.org/abs/1707.02593)) and the line-of-sight velocity from\n", "[Walker et al. 2007](https://arxiv.org/abs/0708.0010)." ] }, { "cell_type": "code", "execution_count": 6, "id": "b16ec8ec", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.296935Z", "iopub.status.busy": "2024-03-26T15:35:01.296618Z", "iopub.status.idle": "2024-03-26T15:35:01.318437Z", "shell.execute_reply": "2024-03-26T15:35:01.317904Z" } }, "outputs": [], "source": [ "icrs = coord.SkyCoord(\n", " ra=coord.Angle(\"17h 20m 12.4s\"),\n", " dec=coord.Angle(\"+57° 54′ 55″\"),\n", " distance=76 * u.kpc,\n", " pm_ra_cosdec=0.0569 * u.mas / u.yr,\n", " pm_dec=-0.1673 * u.mas / u.yr,\n", " radial_velocity=-291 * u.km / u.s,\n", ")\n", "\n", "icrs_err = coord.SkyCoord(\n", " ra=0 * u.deg,\n", " dec=0 * u.deg,\n", " distance=6 * u.kpc,\n", " pm_ra_cosdec=0.009 * u.mas / u.yr,\n", " pm_dec=0.009 * u.mas / u.yr,\n", " radial_velocity=0.1 * u.km / u.s,\n", ")" ] }, { "cell_type": "markdown", "id": "a7c2ef35", "metadata": {}, "source": [ "Let's start by transforming the measured values to a Galactocentric reference\n", "frame so we can integrate an orbit in our Milky Way model. We'll do this using\n", "the velocity transformation support in\n", "[`astropy.coordinates`](http://docs.astropy.org/en/stable/coordinates/velocities.html).\n", "We first have to define the position and motion of the sun relative to the\n", "Galactocentric frame, and create an\n", "[`astropy.coordinates.Galactocentric`](http://docs.astropy.org/en/stable/api/astropy.coordinates.Galactocentric.html#astropy.coordinates.Galactocentric)\n", "object with these parameters. We could specify these things explicitly, but\n", "instead we will use the default values that were recently updated in Astropy:" ] }, { "cell_type": "code", "execution_count": 7, "id": "2de2c257", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.320926Z", "iopub.status.busy": "2024-03-26T15:35:01.320556Z", "iopub.status.idle": "2024-03-26T15:35:01.325415Z", "shell.execute_reply": "2024-03-26T15:35:01.324812Z" } }, "outputs": [ { "data": { "text/plain": [ ", galcen_distance=8.122 kpc, galcen_v_sun=(12.9, 245.6, 7.78) km / s, z_sun=20.8 pc, roll=0.0 deg)>" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galcen_frame = coord.Galactocentric()\n", "galcen_frame" ] }, { "cell_type": "markdown", "id": "343e5c9b", "metadata": {}, "source": [ "To transform the mean observed kinematics to this frame, we simply do:" ] }, { "cell_type": "code", "execution_count": 8, "id": "10693f7d", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.327951Z", "iopub.status.busy": "2024-03-26T15:35:01.327600Z", "iopub.status.idle": "2024-03-26T15:35:01.334945Z", "shell.execute_reply": "2024-03-26T15:35:01.334265Z" } }, "outputs": [], "source": [ "galcen = icrs.transform_to(galcen_frame)" ] }, { "cell_type": "markdown", "id": "740b26bf", "metadata": {}, "source": [ "That's it! Now we have to turn the resulting `Galactocentric` object into\n", "orbital initial conditions, and integrate the orbit in our Milky Way model.\n", "We'll use a timestep of 0.5 Myr and integrate the orbit backwards for 10000\n", "steps (5 Gyr):" ] }, { "cell_type": "code", "execution_count": 9, "id": "1c14cf9f", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.337269Z", "iopub.status.busy": "2024-03-26T15:35:01.336921Z", "iopub.status.idle": "2024-03-26T15:35:01.345781Z", "shell.execute_reply": "2024-03-26T15:35:01.345149Z" } }, "outputs": [], "source": [ "w0 = gd.PhaseSpacePosition(galcen.data)\n", "orbit = potential.integrate_orbit(w0, dt=-0.5 * u.Myr, n_steps=10000)" ] }, { "cell_type": "markdown", "id": "d34a7f0b", "metadata": {}, "source": [ "Let's visualize the orbit:" ] }, { "cell_type": "code", "execution_count": 10, "id": "d81af899", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:01.348364Z", "iopub.status.busy": "2024-03-26T15:35:01.347955Z", "iopub.status.idle": "2024-03-26T15:35:02.113214Z", "shell.execute_reply": "2024-03-26T15:35:02.112421Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 411, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "fig = orbit.plot()" ] }, { "cell_type": "markdown", "id": "29b42e17", "metadata": {}, "source": [ "With the `orbit` object, we can easily compute quantities like the pericenter,\n", "apocenter, or eccentricity of the orbit:" ] }, { "cell_type": "code", "execution_count": 11, "id": "b3e771af", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.116425Z", "iopub.status.busy": "2024-03-26T15:35:02.116008Z", "iopub.status.idle": "2024-03-26T15:35:02.141938Z", "shell.execute_reply": "2024-03-26T15:35:02.141372Z" } }, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " )" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "orbit.pericenter(), orbit.apocenter(), orbit.eccentricity()" ] }, { "cell_type": "markdown", "id": "df453790", "metadata": {}, "source": [ "We can also use these functions to get the time of each pericenter or\n", "apocenter - let's plot the time of pericenter, and time of apocenter over the\n", "time series of the Galactocentric radius of the orbit:" ] }, { "cell_type": "code", "execution_count": 12, "id": "16bc87a2", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.144548Z", "iopub.status.busy": "2024-03-26T15:35:02.144135Z", "iopub.status.idle": "2024-03-26T15:35:02.332353Z", "shell.execute_reply": "2024-03-26T15:35:02.331644Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$r$ [$\\\\mathrm{kpc}$]')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HZgQAkbW1uk3f/uN221ia161ffuIMleVlODSrkXk9bv33zUs0vdhe3P/P2+r1q7UHnZkUAETYyk3VIWtcWV667r9lqTJTY+MEpinN69EvP36Gphnr9ZMbq/TIm4cdmhUSGcEeIIJ6+gP6h9+9rV6fvWDc966dr6VTCod5VWzwuF36r5sWa1Zpjm38iQ1V+v2GIw7NCgAio6PXp3/43dshLXv/4/oFWjQx35lJjVJeRooe/ORS5WfaU4L/ffUObaJgM4AEs7+xU1952r6Rmup16xcfOz0mT8wPlpeZovs+drqyUj228W8/s01bqynYjPAi2ANE0Hee3a7d9Z22sY8tn6SPLJ00zCtiS3aaV/d+bEnIL6Svr9qqPfUdw7wKAOKLZVn6ytNbdbDZXtj4s+dP04pF5Q7Namwmj8vSTz6yyDbmC1j6h99tUptRuBQA4lW/P6h/fGyzuo2yAt+7dr4Wxnhg/j0zS3P0ww8vtI35Apb+8bFNlEtAWBHsASJk9bu1enS9/Ujm3LJcfe2qucO8IjZNL87WD4wOXb2+oP75iXfkM3bAASAePbmxSs+8U2MbWzwpX3deMcuhGZ2ci2aV6AsX2luyV7f2kH4LIGH85192613jBMxNyybqhjMmOjSjk3PlaWX63PnTbGP7Grv076t3ODQjJCKCPUAENHX26asr7TfXmake3XPzYqWneIZ5Vez6wMIJ+vjyybaxd6vbdO/L+xyaEQCER01rj77zjL1OT266Vz+7cbFSYqzA52j882WVWmYUAF25uUar3611aEYAEB5v7GvWfWvs957Ti7P09avjayP1PV+6fJZOK8+zjf3mjUN6eWeDQzNCoom/uxggDnxz1Ta1dPXbxr6zYr6mF2c7NKNT99Wr5mhGiX3+97y0R+9WkV8MID5ZlqV//cO76jDalP/H9QtiuoD+SLwet/7rxkXKSbcXKP3qyq1q7OhzaFYAcGp6+gO666ktGty0KsXj0n/duDhmCzKfSKrXrZ/euEgZxkbwl5/aQvotwoJgDxBmz22p1XPGDur75o3Xh5bER92H4aSnePTjDy+Ux+0aGPMHLX3p95vV7yedC0D8efytI1qzu9E29sEl5Xrf/DKHZhQeZXkZ+s6Kebaxlq5+ffXpd2nvCyAu/edfdulwi72u2pevmK35xsmYeDO9OFtfu3qObayxo490LoQFwR4gjFq6+vWNVfb0rYLMFH332vlyuVzDvCp+LJyYr7836kHsru/UL9eQzgUgvtS19ep7z9lvpktz0/TNq+cN84r4cu2icl0xr9Q29sL2ev15W71DMwKAk7P5SKseeO2AbeyMyQX69LlTHZpReN28bJIumlVsG3vsrSN6Y1+zQzNCoiDYA4TR3at3qtlI3/r2ivkx3wZyLP7h4pmaNyHXNnbPS3t1qLnLoRkBwNh999nt6jTSt37wwQXKM9qXxyuXy6XvX3eaxmWl2sa//cy2kL83AMSqfn9Qdz25RcFBhxJTvW7dff0Cud3xv5EqHV+vze63X3n6XfX66M6Fk0ewBwiTjYeO6vENR2xjV8wr1QcWxHc6gCnV69YPPrhAg3+/9vmD+vqqbaQHAIgLr+xuDEm3vf70Cl00u8ShGUVGUXaavvEBe+HS2rZe/fQvux2aEQCMzUOvH9Cu+g7b2D9eMjOu62AOZUJ+hr78vtm2sQNNXfrZX/c4NCMkAoI9QBj4A0F93ei+lZXq0bevSYz0LdNpFXn6xFlTbGNrdjfq2S10ewEQ23p9AX1ziHTbr145Z5hXxLdrFk7QuTOKbGO/ev2gttVQXB9AbGto79V/vWgPdswty9VnjZblieJjyydr8aR829j9rx7QwSZOz+PkEOwBwuC36w5pe227beyOSys1Pi/doRlF3pcur1Rprj097bvPbld3P+kBAGLXfa/s18Fme5HPf33/bBUY6U6JwuVy6bvXzleq9/gtXyBo6esrt3IaE0BM+/fVO9XVb09j+v5185XiScxHWI/bpbs/tEDeQcfn+wPBkPpywGgl5k8KEEXNnX36sXEkvrI0W588Z4ozE4qSnPQUffMD9kKmDR19+sUr+x2aEQCMrLq1R/f+ba9tbMmkfH349IkOzSg6phZl6e8vnGEbe/twK6cxAcSsDQdb9PSmatvYh0+v0OJJBQ7NKDoqS3P0ybOn2MZe3FEf0jkSGA2CPcAp+tlf96ij136a5bsrEnfXYbD3zx+v82ba0wN+uWafatt6HJoRAAzvR3/epT5/cOBzt0v67rXzE6bI50g+f+E0TRmXaRv7weqdFP8EEHMCQUvf/OM221hOujekpk2i+uKlM1WUbT9t+p1nt8sXCA7zCmBoif80CkTQvsZOPfLmYdvYikUTdOa0cQ7NKLpcLpe+dtVcW7HmXl9Q//GnXc5NCgCGsKWqNWSX+KNnTta8CXkOzSi60rwe/ZtRl6i6tUcPrj0wzCsAwBmrNldrW429PMI/XVqZUN1tR5KbnqI7r5hlG9vb0KmH3zjk0IwQrwj2AKfg7tU75R/UCzLV606aXYf3zBqfo5uWTbKNPb2pWu8caXVmQgBgsCxL3zdqHuSkeXXHpTMdmpEzLp9bqjOnFtrG7n15nxo7+hyaEQDY9foC+vEL9vIIM0uy9fGzJjs0I2d8+PSJOq3cvhlxz0t71NHrc2hGiEcEe4CT9Ob+Zr2wvd42dus5U1Wen+HQjJzzz5dVKifNaxv7/vM7KP4JICb8ZXu93jzQYhv7wkUzNC47OXaJ3+NyufT1q+dqcJPIzj6//pNW7ABixMNvHFJ1q70cwL9dOTspyiMM5na79K1r5trGjnb79L9rqI2J0UuunxogTCzL0v9bvdM2VpCZoi9cNN2hGTlrXHaa/uFie/HP9Qda9OqeJodmBADH+ANB/eBP9vW6PD9Dn0rwIvrDmV+epw8tqbCNPbHhCK19ATiurdun/37ZXkT/zKmFumhWiUMzctbpkwt1+dxS29j9rx3gNCZGjWAPcBJe3NEQkqZ0x6WVyk1PcWZCMeCT50wJOdX04xd2cboHgKNWbq7R/kZ7IOPL75ul9BSPQzNy3p1XzFJ6ir0V+3/9dY+DMwIA6X9e2ae2Hnua0r++f7ZcrsQvoj+cO6+YZauN2d0f0H+/xHqN0SHYA4xRMGiFHHmfMi5TN585aZhXJIc0r0dfvMR+uuedqjb9xUh1A4Bo8QWC+pkRxJg3IVcfWDDBoRnFhtLcdN1itPZdublae+o7nJkQgKTX0NGrh163F4y/8rTxCd9q/URmluaEnMb83frDOtzc7dCMEE8I9gBj9ML2Ou2otXcIuOPSyqTLJR7Kh5ZUhLT2/c+/7FYwyOkeANH35MYqHW6x3xB/6fLKpGi1fiKfP3+6sgfVWrMs6ScvUrsHgDN++cp+9fqOtxb3uF2684rkanoynDsuq1TqoOcMX8DST//Keo0T4+kUGINg0NJP/mLfJZ5enKUPLEzuXeL3eD1u/dNllbaxnXUdevbdWodmBCBZ9fkDusc41bNoYn7S1n4wFWSl6tZzp9rGnn+3Tlur2xyaEYBk1djRp9++aW8rfv2SCk0tynJoRrGlPD8jpBvZqs01OtRMrTWMjGAPMAbPb63VLuOY+x2XVsrDLvGADyyYoFmlObaxn764WwFO9wCIosffOqKatl7b2Jcur0zq2g+mT587VXkZ9lpzP6EzF4Ao++WafbZTPV63S39/0YwRXpF8vnDhdGUMqjUXCFq69+V9Ds4I8YBgDzBKwaCln75o3yWeVZqjq04rc2hGscntdoWc7tnf2KU/b6tzaEYAkk2fPxByE7xsSqHOnVHk0IxiU15Gij57/jTb2F93NmhbDad7AERHY0efHl5nP9XzoSUVmmSUBUh247LT9LHl9vqgT71dpaqj1O7B8Aj2AKP0wvZ67W3otI3902Uzqf0whCvmlWpuWa5t7Ocv76UzF4CoePrtatW120/1/DOneob0ybOnqDAr1Tb2P39jtxhAdPzvq6G1ejjVM7Tbzp+mNO/xx3d/0NIvXmG9xvAI9gCjYFmW/sdYTGePz9Hlc8c7NKPY5nK59IWLptvGttW065XdjQ7NCECyCAQt3bdmv23szKmFWj5tnEMzim1ZaV7des4U29jz79bqQBO1IABEVmt3vx5+wzzVU86pnmGU5KTrpmX20z1PvFWlOiNlGXgPwR5gFN7Y36x3jrTaxv7uwumc6hnB++eXhRTWI7cYQKT9aWtdSKDiC+wSj+jjZ02xdeYKWtJ97BYDiLDfvHFIPb7AwOcet0v/cNFMB2cU+z5/wXRbZ67+QJDTPRgWwR5gFMwj7RMLM6jVcwIet0t/d4H9dM/6gy1af6DFoRkBSHSWZenev+21jc2bkKvzZ1KrZyR5GSn62HJ7p5en3q5SbVuPQzMCkOh6fQE99PpB29gHFpRxqucExuel68NnVNjGHn/riFq7+x2aEWIZwR7gBN6tatOre5psY589f7q8Hn58TuTaxeUqy0u3jf385b3DXA0Ap+bVPU3aVtNuG/u7C6dTq2cUbj13ilIH1YLwBSzd/+oBB2cEIJH9fmOVWrrsAYrPnj99mKsx2OcvmG7rBNzjC+iRNw87OCPEKp5WgRMwj0YWZafqw6dXDHM1Bkv1ukM6vbyyu1G76jqGeQUAnDzzVM/Uoiy9fz6nMEejJCddHzljom3sd28eZrcYQNgFgpb+16itdn5lseZOyB3mFRhsYmGmrjQyDB56/aD6/IFhXoFkRbAHGMHh5m49v7XWNnbruVOVnuJxaEbx58alkzTO6PTy4GvsFgMIr63VbVq3354m+rnzp9l2PzGyzxr/v3p8AT26/oiDMwKQiP60tU6HW+wtwz9vbA5iZLedN9X2eWNHn/64ucah2SBWEewBRvDrNw5qcLfw7DRvSF0DjCwj1aOPGv/Pnt5crabOPodmBCARPbjWHkQuyUnTdUvKHZpNfJpYmBlSj+43bxyULxAc5hUAMDaWZem+NfZT86eV5+ms6XRMHIsFFflaPq3QNnb/qwdkDX5wQdIj2AMMo7PPryfesu9ofmTpROWmpzg0o/j1seWT7J0D/EH9jtxiAGHS0NGrZ96x72h+4qzJSvNyCnOsbj3Xvltc29arP22tc2g2ABLNxkNHtaWqzTb2uQumUVvtJJilEnbVd2iNUWcUyY1gDzCMJzccUUeff+Bzl0u65awpzk0ojpXkpOsDCyfYxn7zxiFyiwGExW/XHZYvcHw3M83r1k3LJjk4o/i1aGK+Tp9cYBt7gNRbAGFiduCqKMjQ++aNd2Yyce7CyhJNL86yjZm1kJDcCPYAQwgGrZBfRpfNKaUd5Cm49dwpts+bOvv0zDu1Q18MAKPU6wvokXWHbGPXLS7XuOw0h2YU/z5tnO7ZfKRVbx8+6tBsACSKurZerTZOCt5y1hQ63J4kt9ul286zn+55bW+T9tTTCAXH8JMFDOHlXQ062GwvHPepc6YOczVGY96EvJDc4gdfI7cYwKn54zs1ajba97Jen5rL55aqPD/DNkZhfQCn6pE3DykQPH7fl5Hi0Q1GF0CMzbWLy0MaoTxsbIAgeRHsAYZgFvqcPT4nJFCBsfv0ufbdh+217XrzQMswVwPAyCzL0q/WHrSNnTNjnGaNz3FmQgnC63HrlrPthfVXb61TTWuPQzMCEO96fYGQeo3XLSlXXia1ME9FeopHH1lqD5j94e1qdQ4qRYHkRbAHMOyp79Davc22sVvPnUrhuDC4ZHaJphipcI9QqBnASXrr4FHtqG23jd3KqZ6w+MjSScpMPV7gOhC09Oh61msAJ+fZLbUhpzA/efYUZyaTYD66fLLcgx5TOvv8evrtKucmhJhBsAcwmMGHcVmpusYoLoyT43a79HGjyPWfttaqsYM27ADG7pE37UfVp4zL1EWzShyaTWLJy0jR9adX2MYee+sIbdgBjJllWfq1UQvz7OnjVFnKKcxwKM/P0KVzSm1jv3njEKUSQLDnPQ0NDXr22Wf1jW98Q+9///tVVFQkl8sll8ulT37yk2N+v9WrV+u6665TRUWF0tLSVFFRoeuuu06rV68e9Xv4/X794he/0Hnnnafi4mJlZGRo+vTp+tznPqdt27aNeU44sZ7+gJ4yIuE3LJ2o9BTa94bLh5aUK817fOnxBSz9fuOREV4BAKGaO/u0+l17oc+PLZ8st5tTmOHy0TPtqVyNHX36y/Z6h2YDIF5tPtKqd6vt7dY51RNenzA2U/c0dGrdfkolJDuv0xOIFaWlpSe+aBSCwaA++9nP6oEHHrCNV1dXq7q6WitXrtRnPvMZ3XfffXK7h4+1NTU16corr9Rbb71lG9+/f79++ctf6te//rX++7//W5/5zGfCMm8c88yWGnX02tut30z73rDKz0zV1Qsm2IJqv3vzsD5//nQe0gCM2pMbq9Q/6JRJqtetDy2pGOEVGKtZ43O0dEqB3jp4vBPXI28e0pWnlTk4KwDxxkwBrSjI0CVzwvPshWPOmTFO04qztL+xa2Ds4XUHddb0cQ7OCk7jZM8QJk2apMsvv/ykXvvVr351INCzePFiPfroo1q/fr0effRRLV68WJJ0//3362tf+9qw7xEIBHTdddcNBHo++MEPavXq1XrzzTf1s5/9TCUlJerr69PnPve5MZ0UwomZhePOn1msiYW0Ww+3jy23B9CqjvbolT2NDs0GQLwJBi39znh4uPq0MhUYHUlw6szTPWv3Nmt/Y6dDswEQb9p7fXrmnVrb2E3LJsnDBl9YuVwufXy5fb3+87Z61bX1OjQjxAKCPf/nG9/4hp555hnV1dXp0KFDuu+++8b8Hrt379aPfvQjSdIZZ5yhtWvX6sYbb9TSpUt144036rXXXtMZZ5whSfrhD3+ovXv3Dvk+v/71r/Xaa69Jkr7whS/oqaee0vve9z4tW7ZMt99+u9auXavc3FwFg0F98YtflN9PtfVw2FbTps1HWm1jHz2TUz2RsGhivuaW5drGHllH4U8Ao7N2X5MONXfbxj66nPU6Et43f7wKjG45FGoGMFqrNteoxxcY+NzrdunDZ3AKMxI+dHpFSGH932+gVEIyI9jzf7797W/r6quvPqV0rp/+9KcDgZd77rlHGRkZtq9nZmbqnnvukXSsHs9PfvKTId/nvYBRYWGhfvjDH4Z8fcaMGfq3f/s3SdLevXv19NNPn/SccZx5qmd8brounk2hz0hwuVz6mLH78NLOelXT1hfAKJjB4dnjc7RkUoFDs0ls6SkeffgMe1vf32+sUu+ghzcAGIplWXrUuL++dE6pSnLSHZpRYstNT9GKReW2scc3HFEwSKHmZEWwJ0wsy9KqVaskSbNnz9by5cuHvG758uWaNWuWJGnVqlUhVdJ3796tHTt2SJJuuOEGZWYOnUI0uGg0wZ5T19nn18pN1baxjyydKK+HH5FIWbFogrLTjpcNC1rS4+wWAziB+vZe/WWHvUjwR8+cJJeLlIBIucmoXdfa7dPqrbXDXA0Ax7xb3abtte22sRuXTRzmaoTDjUvt/3+rjvbojf3NDs0GTuNJNkwOHDigmpoaSdIFF1ww4rXvfb26uloHDx60fe299K0Tvc/48eNVWVkpSVq7du3JTBmD/HFzjbr6j+9Sul38Moq0rDSvrlts3314cmOVAuw+ABjB7zccsa0TmakeXWusJQivqUVZOndGkW3s0TdJDQAwMjPlszw/Q+fNLHZoNslhQUWeZo+3t7R/7C3W62RFsCdMtm/fPvDx7NmzR7x28NffO8VzKu9z5MgRdXV1jXgtRma2/r54dqnK8jKGuRrhYgbUatp69fq+JodmAyDWWZalJzdW2cauWThBOekpw7wC4XKzUcNu/cEWHWzi3gPA0Dr7/Fq1ucY2duPSiRRmjjCXy6UbjNTbP2+t09GufodmBCcR7AmTqqrjN58VFSMXHZs48fgP4JEj9iDDybyPZVm2141GVVXViP/V1ibP8ey9DR3adLjVNnYTp3qiYt6EvJBCzU9sGNv3MoDk8dbBozpoFGY268kgMi6dUxpSqNkMvAHAe555p0bdg07Ne9wu1usouW5xuVIHlaLoDwS1cnP1CK9AoiLYEyYdHR0DH2dnZ494bVZW1sDHnZ329qXhep8TmThx4oj/LVu2bEzvF8+e3Ghf/Iqy03RBJUdMo8XsyPDnbXVq6/Y5NBsAsczsKjKtOEtLJuU7M5kkk+p1hxT+fOptUm8BDO0pIxh80awSjc+jMHM0FGSl6vJ59qZDj791JKRWLBIfwZ4w6e3tHfg4NTV1xGvT0tIGPu7psXcfCtf7YHT8gaD+8Lb9l9EHl5RTmDmKViwqV4rn+JHefn9Qf9xSM8IrACSjrj6/nnvXfur0w6dPpDBzFJnB+dq2Xq3dS+otALsDTV3acOiobewG2q1H1UeMQs076zr0bnWbQ7OBU3iiDZP09OOR6v7+kXMi+/r6Bj4227OH631O5MiRIyP+t379+jG9X7x6dU+TGjr6bGPXn84vo2gqzErVpXPsuw9PbqCQHAC759+ttaUEuF3HgvOInqFSb39PKhcAg7mRWpiVqgtnlTg0m+R0zvQilefbnw8p1Jx8CPaESU7O8arnJ0qpGlxM2UzVCtf7nEhFRcWI/5WVlY3p/eKVWW9gYUWeKktzhrkakWIWknunqk276jqGuRpAMjKDChdUFqs0l5SAaCP1FsBIgkFLf3jbXiJhxaIJSvXy2BlNbndooeZn36lRry8wzCuQiPipC5PBxZRPVCx5cFHmwcWaT/Z9XC7XCYs5I1Rrd7/+sr3eNnY9heMccd7MIpXkpNnGzNocAJLXoeYurT/QYhuj0KczSL0FMJJ1B5pV3WovL/GhJTynOOFDp9tPv7b3+vW3XQ0OzQZOINgTJnPnzh34eOfOnSNeO/jrc+bMOeX3mThxoq1YM0Zn1eYa9QeCA5+net26ZsEEB2eUvLwetz5o3Ag8valavkH/PgCSl3kKMz8zRZfMISXACaTeAhiJuV7PHp+jeRNyh7kakVRRkKkzpxbaxsxTV0hsBHvCZOrUqZow4Vig4JVXXhnx2jVr1kiSysvLNWXKFNvXzj333IGPR3qfuro67d69W5J0zjnnnMyUk95TRj7x5XNLlWe0lUX0mKkBzV39em0PhT+BZGdZlp7eZL85vXZRudK8HodmBHO9fqeqTXsbSL0Fkl1Xn19/2lpnG/vQkgoK6TvIrG338q4GHe0auS4sEgfBnjBxuVxasWKFpGMnbtatWzfkdevWrRs4kbNixYqQxa+ysnLgtM8TTzyh7u7uId/noYceGvj4uuuuO9XpJ539jZ3aUmWvSE9hZmdNL87Woon5trFVm9l9AJLdxkNHVXWUlIBYcv7MYhUbqberNpPKBSS71VvrbIX0PW6XVizm1LyT3je/zFYvyRewQjpbInER7AmjO+64Qx7PsZ3G22+/PaQdek9Pj26//XZJktfr1R133DHk+/zLv/yLJKmlpUVf/vKXQ76+b98+/fu//7skacaMGQR7ToJ5U1qUnaZzZxQ5NBu8Z8Ui+w3BC9vr1d3vd2g2AGLBSiPoO704S/PLSQlwktfj1jUL7ev1qs01sizLoRkBiAVmF67zZxapJIdC+k7Ky0jRZUbqrXlaFonL6/QEYsVrr72mvXv3Dnze1HQ8fWTv3r22kzSS9MlPfjLkPSorK3XnnXfqBz/4gTZs2KBzzjlHd911l6ZPn659+/bp7rvv1qZNmyRJd955p2bOnDnkXG655RY9+OCDWrt2rX7+85+rrq5Ot912mwoKCrR+/Xp997vfVXt7u9xut372s5/J6+WfcSwsy9If37EHe65eUCavh9in065eMEHfe26HAsFjDwzd/QH9ZXu9ViyivTKQjHyBoJ7bYt+BvHZROSkBMWDFogl64LUDA58fbunW5iOtWjypwMFZAXBKfXuv3tjfbBv7EKfmY8J1i8ttp3k2HjqqQ81dmjyOmq+JjijB/7n//vv161//esivrV27VmvXrrWNDRXskaTvf//7amho0IMPPqhNmzbpxhtvDLnm05/+tL73ve8NOxePx6OVK1fqyiuv1FtvvaWnnnpKTz31lO2atLQ0/fd//7fe//73n+BvBtOWqjYdaOqyjZknSuCM4pw0nTOjSGt2Nw6MrdpcQ7AHSFKv7mnUUaOt9zWs1zHhtPI8TS3Ksv0+XbW5hmAPkKSe3VKrwYf7stO8IcXc4YzzK4tVkJli+326clON/vHSoQ8eIHFwlCHM3G63HnjgAT333HNasWKFJkyYoNTUVE2YMEErVqzQ888/r/vvv19u98j/64uKivT666/r3nvv1bnnnqtx48YpPT1d06ZN02233aaNGzfqM5/5TJT+VonFTOGaPC4zpFYMnLPCSA1Ys7tRLRSSA5LSyk329XrxpHx2ImOEy+UKSeV6dkuN/HRRBJKSeWr+8rmlSk+hkH4sSPW69QFjvX56UxWpt0mAYM//eeihh2RZ1qj/O5Err7xSK1euVHV1tfr6+lRdXa2VK1eO6SSO1+vV3/3d3+nVV19VU1OTenp6tG/fPv3yl7/UvHnzTuWvm7QCQUvPbLH/MlqxcAIpATHkivnjlZ5yfGnyBy09t4XCn0Cy6erz6y/b621j13LKL6aYp2KbOvv1+r7mYa4GkKgONXfpnSOttrEPcAozply32P7782DzsdRbJDaCPUgqb+xrVmNHn22MlIDYMtSxX7q8AMnnL9vr1eOzd3W5akGZgzOCaVpxthZU5NnGzILaABLfM8apnsKsVBqfxJhFE/M1tch+MvbZLXTlSnQEe5BUzFbe8ybkakZJjkOzwXDM3fsNh47qSEu3Q7MB4AQzaHDujCIVZacNczWcYqZy/XlrnXoHBekAJD4zhevK08YrhcYnMcXlcukDxobJ8+/WKhgklSuR8VOIpNHrC+hPW+tsY6QExKbzK4uVn5liGzNvJAAkrubOPr26p8k2du1iTmHGog8snKDBmdBd/QH9dUeDcxMCEFU769q1u77TNnbNQu6vY9HVRnC+tq1Xbx8+6tBsEA0Ee5A0/rarUR19/oHPXS7p6oWkBMSiVK9bV55m/7fhqCmQPP60rU6BQbuN6SluXT53vIMzwnBKc9N19vRxtjFSuYDk8Ucj1b4sL11nTKYrXyyqLM1RZWm2bYz768RGsAdJ4/l37YvZsimFKsvLcGg2OJEPLLDvPuyobbe1+AWQuMz1+pLZpcpK8zo0G5zICmMX/5XdjeoctLkCIDFZVmjjkw8snCC3m8Ynseqq0+z318+/W2vbXEFiIdiDpNDrC+ivO+xdXSj0GduWTS1UUXaqbcx8AASQeJo7+/SG0dGJ9Tq2XT6vVN5BD3f9/mDI71wAiWfzkVYdaemxjZl1vBBbzN+nDR19eutgi0OzQaQR7EFSWLO7UV39xwtGulzS++aTEhDLPG6Xrphn/zci2AMkvj9vq9fgTcaMFI8umlXi3IRwQvmZqTrH6Lyz+t26Ya4GkCjM+7JpRVmaNyHXodlgNGaUZGv2eHtzmudI5UpYBHuQFFYbhZmXTilUSU66Q7PBaF1l1O3ZVtOuQ82kcgGJzHx4uHh2iTJSPQ7NBqN15Wn24PzLuxrURSoXkLAsywq5v75qQZlcLlK4Yt0HjNNXq7fWyh8IOjQbRBLBHiS8Pn9AL263Hye/klM9cWHZ1EKNy7Kncj3H6R4gYbV09euN/fYULrNYO2LT5XPHyzMolavPH9TLu+jKBSSqbTXtqjpqT+Hi1Hx8MDdTmzr79eYBUrkSEcEeJLxXdzeFdOF6Pw8PccHrceuK+aRyAcniz0N04bpodrGDM8JoFWSlhnTlYr0GEpf58z2pMFNzy0jhigdTirI0v9z+b0VXrsREsAcJ7/mt9sXrjMkFKs0lhStemLsPW6vbdbi526HZAIikoVK4MlPpwhUvzFNYL+9sVHc/qVxAohkqhev9p40nhSuOXG10vf3ztjpSuRIQwR4ktD5/QH8xUrjeP59TPfHkzKmFKjRSucwAHoD419LVr9f3kcIVz66YZ0/l6vEF9LddjQ7OCEAk7Krv0IEmew1F7q/ji7mZ2tLVrw2Hjjo0G0QKwR4ktLV7m9TRa99VfP9p5BPHE6/HrSvmldrGSA0AEs8LQ6RwXTybLlzxpDArVcunFdrGWK+BxGN225uQl66FFXkOzQYnY+IQaXd/2koXxURDsAcJ7Xnjl9HpkwtUlpfh0Gxwsszd/S1VbTrSQioXkEieN24yL5pFClc8Mtfrl3Y2qNcXcGg2ACLBDAq8bz5duOLRFfPsG+B/2V4vy7KGuRrxiGAPEpY/EBwihYtTPfHorGnjVJCZYhv78zZ2H4BE0d7r0xv7mmxjFNKPT1fMG69BmVzq7ieVC0gk+xo7tau+wzbGqfn4dMV8+8n56tYeba1ud2g2iASCPUhY6w+2qK3HZxvj4SE+eT1uXTbX/gvpBSOQByB+vbKrUb7A8d3EFI9LF82iC1c8KspO05lT7V25XiA4DyQM81RPSU6aTp9U4NBscCpmleZoyrhM2xibqYmFYA8SlnmqZ355rsrzSeGKV5fPte8abTjYopaufodmAyCczODt2dOLlJOeMszViHVmnbWXdjXQ5QVIEKuNJhlXzBsvt5sUrnjkcrlCUrkI9iQWgj1ISJZl6YVt9oeHy+ZwxDSenTuzSBkpnoHPg5b01x2c7gHiXZ8/oJd3NtjGLjeCBYgvlxonMVu7fXrrIF1egHhXM0SaDyUS4tvlRrBnT0On9jV2OjQbhBvBHiSkHbUdqm7tsY3x8BDf0lM8Or+yyDZmnt4CEH/W7W9RZ5+9a+Jlc1iv41lFQabmTbB3eWG9BuLfi8YmW35mipZNLRzmasSDxRPzVZKTZhvjdE/iINiDhPTCdvsiVVGQodnjcxyaDcLlMiOVa82eRvX00+UFiGdmPZfFk/JVkpvu0GwQLmadtb/sqKPLCxDnzKDtxbNK5PXwOBnP3G5XyHr9520E5xMFP51ISOYvo8vnjqclZAK4ZHaJrctLry+o1/Y2Df8CADEtGLSGXK8R/8yHhyMtPSEdfADEj/Zen9btb7aNmSmbiE9m3Z53jrSqrq3XodkgnAj2IOFUHe3Wthp7PjEpXImhICtVS6fYjwvT5QWIX1uq29TQ0WcbY71ODHPLQpsi/IXdYiBurdlt75qY6nHr/Eq6JiaC5dPGKSfdaxszsyQQnwj2IOG8uD00n/iMybSETBRmIbmXdjYoECQ1AIhHZrB2enGWphdnOzQbhJPLFZoaYHZdAxA/zPvrs6aPU3aad5irEU9SvW5dMrvENmY2ukF8ItiDhGPeTF4yu5R84gRyufHw0NzVr7cP0+UFiEfmem3W5UJ8M4M971a3qbatZ5irAcQqXyCol4yuiaRwJRZzM/XNA80hzRMQf3gCRkJp6/bpzQMttjHzZhPxbWJhZkixbVK5gPizr7FTexvs7V1J4Uosy6YWKtdIDTBPBwCIfW8dbFF7r/3B/9I5JcNcjXh03swipXiOF8b0BSy9tqfRwRkhHAj2IKG8tKveltKT5nWHtOtG/DNP97ywvZ4uL0Cc+avRwrc4J02LKvKdmQwiIsXj1sVmagDBHiDumIX0TyvPU1lexjBXIx7lpKfozKnjbGMv7mgY5mrEC4I9SCjmonTezCJlppJPnGjMo6aHmru1r7FzmKsBxKK/Guv1pXNK5HbTNTHRmKl56/Y3q73X59BsAIyVZVl60QjOXzqHU5iJyAzOv7yzQUHqYsY1gj1IGL5AUGt22Y8b8ssoMc2bkKuyvHTbmJlLDiB2tfX4tOGQvdbWxbNZrxPRBbOKlTqobp4vYOnV3U0OzgjAWOyu79SRFnutLUokJKZLjNS85q5+vVPV6sxkEBYEe5Aw3jrYog6jkJgZoUZicLlcunCW/d+WYA8QP17d02hLuU31unXOjHEjvALxKjvNq+XT7f+2L+9ivQbixV+MFtzl+RmaU5YzzNWIZ5PHZWlGib0jJvfX8Y1gDxKGmRKwoCJPJbnpw1yNeGcG8jYcPEpqABAnzJvHs6aNI+U2gV00q9j2+d92kRoAxIuQLlxzSuRykXKbqMwW7ObzFeILwR4kDPOXEad6EtvZ08fZUgP8QUuv7SE1AIh1gaClV4yUW9brxHaRcRKzqbNfW2vaHJoNgNE62tWvTUdabWOXUCIhoZm/j7fXtqu2rWeYqxHrCPYgIexv7NSBpi7b2CXUf0hoWWlenTmt0DbGUVMg9r1T1armrn7bGMGexDalKEvTirJsY6zXQOxbs6dRg5udZqR4tGxq4fAvQNw7fXKBctPtJ21Zr+MXwR4kBHMRKslJ07wJuQ7NBtFiPiCSGgDEvpeN9XpGSbYmFmY6NBtEy0VmlxfjdBeA2PM34+f07OnjlJ7icWg2iAavxx1aF5NUrrhFsAcJ4d1q+3Hwi2fTwjcZDJUaYH4vAIgtpNwmJ3O93lLVqqbOPodmA+BEAkFLr+y2B3suZL1OCmZXrtf2NqmnP+DQbHAqCPYgIfz0I4v04j+fr397/2wtm1pIy/UkMVRqAF1egNhV396rbTXttjEzCIDEtHRqgbJSj58IsCyF1G4CEDu2VLWqxUi5vbCyeJirkUguqCyWZ9CmeZ8/qNf3URczHhHsQUJwuVyaUZKjz10wXU987ixdOpdgT7IISQ0grxiIWebPZ066V2dMKXBoNoimNK9H58woso0RnAdil5lqOZOU26SRn5mq0yfbfzdTtyc+EewBENfMFJB3qtrU2EFqABCLzJvF8yuLleLhViRZmOv1mt2N8geCDs0GwEj+ZgRjzc01JDZzvX5ld6Msi7qY8YY7LABxbemUQltqgBR6gwLAeX3+gF7baz8GfjEpXEnFLPrZ3uvX24dbnZkMgGE1dvRpS5W9BiIpXMnlAuPfu+poT0jnY8Q+gj0A4lqq161zZ5IaAMS6tw4cVfegAo8ul3ThLB4eksn4vHTNLbN3yiQ1AIg9a4zCzFmpHp0xhZbryWT2+ByV5KTZxsyC3Yh9BHsAxD3zqOmru5vkIzUAiClr9thvEhdU5GtcdtowVyNRXTTbHuDjJCYQe8xNs3NnFinVy2NjMnG5XDrfON1jBgER+/ipBRD3zNSAjj6/3jnS6sxkAAzJvEm8wDiRh+RgBud31nWoprXHodkAMPkDwZD1mq6JyclM5Xpjf7N6fbRgjycEewDEvdLcdM0en2MbW7OHFpFArKhv79XOug7bmLljiOSwaGKB8jNTbGOvsV4DMWPTkVa19/ptY+amGpLDuTOKNKgDu3p9Qb11sMW5CWHMCPYASAjnGacEOGoKxI5XjYf5nHSvFk3Md2YycJTH7QppwW6m+AFwjnn/NKcsV+Pz0h2aDZxUkJWqBRX5tjHur+MLwR4ACcE8JbClqlWt3f0OzQbAYObN4TnTi+Sl5XrSOt8Izr+2t0mBIC19gVhgnow+v5KU22RmpnJRpDm+cKcFICEsnVKotEHFA4OW9Pq+ZgdnBECSgkErpOU6KVzJ7dyZ9n//1m6fttW0DXM1gGhp7e7XlqpW29j5M1mvk9kFRtfM3fWd1FmLIwR7ACSE9BSPzpw2zjbGUVPAeVtr2tTSZT9lZ6ZdIrmU52doenGWbcxM9QMQfWv3NssadMguPcWt0ycXODchOG5hRb7yMux11l4l9TZuEOwBkDDM1IBX9zTJskgNAJxkBl2nFWVpYmGmQ7NBrDhvJqkBQKx5ba/95/DMqeOUnuJxaDaIBR63S+ca99es1/GDYA+AhGE+PFS39mh/U5dDswEgSWt2k8KFUGYdkLcPHVVnn3+YqwFEmmVZIes1pzAhhdbteXVPk/yBoEOzwVgQ7AGQMCpLs1Wam2YbI5ULcE5Hr09vHz5qG6PYJ6RjJwZSPMd7+vqDltZRZw1wzIGmLlUbtVjMTTQkJ7NuU0evX+8YtZ0Qmwj2AEgYLpcr5MaEOhCAc17f1yz/oC5LqR63lhu1tZCcstK8IbVAqAMBOMcspF+Sk6bK0myHZoNYMj4vXbPH59jGXtnFeh0PCPYASCjmkeM39jWrzx9waDZAcjNP1p0xpUCZqV6HZoNYQ3AeiB1mCte5M4vkcrmGuRrJxkzBXstJzLhAsAdAQjlvZrEG35v0+ALaeOjo8C8AEBGWZWmNcVKDej0YzEwN2N/UpSMt3Q7NBkhevkBQ6/bbH95puY7Bzplh30zdfKRVHb0+h2aD0SLYAyChFGalav6EPNsYu8VA9B1u6daRFnv9Bx4eMNi8CbkqyLS39DVTSQBE3uYjrSEF0s2HeyS3pVMKlOo5HjoIBC2tP9Di4IwwGgR7ACQcswAsRZqB6Fu7175LXJSdqjllOcNcjWTkdrt0bkgqF+s1EG2vGvdJc8tyVZyTNszVSEaZqV4tmZxvGyM4H/sI9gBIOGYdiG017Wru7HNoNkByWrvPfhN49nTqPyCUWWftNVr6AlG3Zg8t13Fi50y3f1+8vpe6PbGOYA+AhLNkUoEyUz22sXX7OWoKREswaOkNo3jjOTPowoVQ5kNle69f71a3OTQbIPm0dfu0xWijTct1DOUcY73eVd+hho5eh2aD0SDYAyDhpHrdWjql0Db2+j6OmgLRsrOuQy1d/baxs6ezU4xQZXkZmlFib+/8Ol1egKh5fV+Tgtbxz9O8bp0xpcC5CSFmLSjPU06avaMmp3tiG8EeAAnp7On2UwQ8PADRYwZXJxVmamJhpkOzQaw7x1ivzVNhACLHvD9aNrVQ6SmeYa5GMvN63Dpzmn29XkvdnphGsAdAQjK7SBxo6lJNa88wVwMIJ/PmjxQujOQs49TXWwdb1OcPODQbILmYwXm6cGEk5u/ztXubZFnWMFfDaQR7ACSkOWW5ysuwt/RltxiIPF8gGNKOlRQujGT5tEINrt3d5w9q0+FWx+YDJIv69l7ta+yyjZ01jeA8hneuEQysaevVweZuh2aDEyHYAyAhedwuLZ9mr9tjdgcCEH7vHGlVV7/9VMZZ03l4wPDyM1M1b0KubYzUWyDyzE2wnHRvyM8iMNiMkmyV5KTZxmjBHrsI9gBIWOZR5Df2NXPUFIiwtUaxxtnjc1SUnTbM1cAxoS19eXgAIs1M4Tpz6jh5PTweYngulyvk/pr1Onbx0wwgYZlFmms5agpEnHmCjhQujIZ5+mvzkVZ19fkdmg2QHMwTdOZ9EzCUkGDPvmYFgmymxiKCPQAS1vTi0KOmdA0AIqe7369Nh4/axijOjNFYOqVQXvfxwj3+oKW3DraM8AoAp+JIS7eqjtobV5zNeo1RMH+vt/X4tL2m3aHZYCQEewAkLJfLFbJLRZFmIHLeOnhUvsDx3T2P26VlUwtHeAVwTFaaV4sm5tvGWK+ByDF/vsZlpaqyJMeh2SCelOVlaFpxlm2Muj2xiWAPgIRmppC8sb9ZQY6aAhFh5u0vrMhTTnrKMFcDdmcPkRoAIDLMej3Lp42Te9DpOmAkIXXWaIISkwj2AEho5pHklq5+7azrcGg2QGIz6/WYef3ASMyTmFtr2tTW7XNoNkDisiwrJJhK10SMhZnKteHgUfkCQYdmg+EQ7AGQ0CoKMjWpMNM2xu4DEH5t3T5tM3L2Kc6MsVg8KV9p3uO3ppZ17DQmgPDa19ilho4+2xjFmTEWy6bav196fAFtqWpzaDYYDsEeAAmPuj1A5K0/2CJrUIZkmtetJZPzHZsP4k+a16OlU+w1nt4gOA+EnflzNT43XVOLsoa5GghVmJWqWaX2Gk/rCM7HHII9ABKeWQfizQMt8nPUFAgr8ybv9MkFSvN6HJoN4pWZSkLdHiD8hmq57nJRrwdjs3yaPThPsCf2EOwBkPDOmmZ/eOjs8+vdao6aAuH05gH7Td6ZU0kJwNiZdZ72NHSqoaPXodkAiScYtELSI6nXg5Ox3Li/3niIuj2xhmAPgIRXnJOmmSXZtrE3D7Q4NBsg8bT1hNbrOXMaLdcxdvMn5ConzWsbI/UWCJ8dde1qNQqfE+zByVg21f57vrs/wGZqjCHYAyApmA+eb3LUFAibDUa9nlSvW4sm5js2H8Qvr8cd8gCxnuA8EDZm8HRSYaYqCjKHuRoY3rjsNOr2xDiCPQCSgplSsuHgUQWC1jBXAxgL86Tc4on5Sk+hXg9OTkhwnmAPEDZm8NRMdQfGIrRuD+t1LCHYAyApnGnsFHf0+bWjtn2YqwGMhbmTZ+bxA2NhtvTd29Cpps6+Ya4GMFrBoKX1B+0P46Tc4lScOc3cTG2hbk8MIdgDICmUDNFWlKOmwKnr6PVpq5Gjz8MDTsX8CbnKTLWfDHuL0z3AKdvT0BlSr8dMmwTGgro9sY1gD4CkYZ7uITUAOHUbDh7V4IzIVI9bSyYVODchxD2vx63TJ9u/h1ivgVO33uiaWJ6fQb0enJKi7DRVltqboLCZGjsI9gBIGuZpg7cOtihI3R7glKwzHh4WUa8HYWCmAhLsAU7dOuPnyNwEA05GyHpN3Z6YQbAHQNIwizS3dvu0u6HDodkAicEsxkgKF8LBfAjdWdeuNiP9BMDoWZYVUpyZ9RrhYAZ7qNsTOwj2AEgaE/IzNLEwwzbG7gNw8jr7/CH1eijOjHA4rSJPad7jt6mWpZDCsgBG72Bztxo77IXOzWLowMkw6/Z09QdC7g3gDII9AJLKsilmagB5xcDJ2nCwRYFBqZApHhf1ehAWaV5PyPeSWW8EwOi9adRRKclJ05Rx1OvBqSvKTtPMErNuD8H5WECwB0BSMY8srz/QIsuibg9wMsw6Kgsr8pWRSr0ehIe5W0zdHuDkmSlcy6YWyuVyOTQbJBrzVC9FmmMDwR4ASWW5cWS5qbNf+xo7HZoNEN/MmznqPyCczO+nrdVt6uilbg9wMsxgKcWZEU5D1e3xU7fHcQR7ACSViYUZKstLt42xWwyMXVefX+9WUa8HkbN4YoFSPMdPHgQtaeOhow7OCIhPVUe7Vd3aYxs7k/UaYTRU3Z6ddTRBcRrBHgBJxeVyhexmUaQZGLtNh1vlH1Svx+t26fTJ1OtB+GSkerSwIt82RnAeGDszhasgM0UzirOHuRoYu+KcNE0tyrKNmd93iD6CPQCSjtl94s0DzdTtAcboLaMz0rzyPGWmeh2aDRLVUHXWAIzNUPV63G7q9SC8zjA2fDYcYr12GsEeAEnHfHiob+/ToeZuh2YDxCfzJm7ZFE71IPzM4PyWqlb19Accmg0Qn8wTcbRcRyQsnWoG54+ymeowgj0Aks60oiwVZafZxmjBDoyeLxDUpsOttrGlUyj2ifA7fXKBPINOIPgClt4+TN0eYLQa2nt1oKnLNkZxZkSCeR/Q1MlmqtMI9gBIOi6XK+R0z4aDPDwAo7W9pl3dxukK6vUgErLTvJo/Idc29iYtfYFRW2+k3OakeTWnLHeYq4GTN2VcZshmqvn9h+gi2AMgKYXmFRPsAUbLrNczvThL44wbPCBczK5BrNfA6Jn1es6YYj8tB4SLy+XSUiOlewPBHkcR7ImA3t5e3XvvvbrkkktUXFys1NRUTZgwQVdeeaUee+yxUb/P66+/ro997GOaPHmy0tPTNX78eF1xxRV69NFHIzh7IDmYR00PNHWpqbPPodkA8cU8CUcKFyLJDM5vPtIqXyDo0GyA+PKWsV5TrweRZN4PmN9/iC6CPWG2a9cuLVq0SH//93+vl156SU1NTfL5fKqtrdXq1at100036YorrlBnZ+eI7/Otb31L5513nh555BEdPnxYfX19qq+v1wsvvKCbb75ZV199tXp7e6P0twISz+zxOcpM9djGSOUCTsyyrJDizGcQ7EEEmSmC3f0B7ahtd2g2QPzo6PVpV539Z+UMiukjgobaTG3sYDPVKQR7wqihoUGXXXaZdu3aJUn68Ic/rGeffVZvv/22nn32WX34wx+WJL3wwgu68cYbh32f++67T9/+9rcVDAY1ffp0PfDAA1q/fr1Wrlypiy66SJL03HPP6dZbb438XwpIUF6PW0sm2W94NtIiEjihg83daurst40tI9iDCBqXnaZpRVm2MYLzwIltOtyq4KBmSKket04rz3NuQkh4c8pylGVspnJ/7RyCPWH0ne98R0eOHJEkffOb39QTTzyhq666SosXL9ZVV12lJ554Qt/4xjckHQvWPPnkkyHv0dLSorvuukuSNGnSJK1bt0633nqrli5dqhUrVugvf/mLPvCBD0iSHn30Uf3tb3+Lzl8OSEDmbjFHTYETM+v1lOSkaWJhhkOzQbIwTyNspG4PcEJmfav55blKT/EMczVw6rwet5YY99frD7BeO4VgT5gEAgH99re/lSRNnjxZX//614e87hvf+IYmTZokSfrBD34Q8vX7779fbW1tkqS7775bRUVFtq97PB7de++98niOLdQ//OEPw/Z3AJKNedR0W02beowOQwDszGKLS6cUyuWi2Cci64zJZh2IFlmWNczVAKSh12sg0szvMzP1G9FDsCdM9uzZMxCkueyyywaCMSaPx6PLLrtMkrRx40YdOHDA9vWVK1dKknJzc/XBD35wyPeoqKjQpZdeKkn661//qo6OjnD8FYCks2hSvgY3pPAFLL1T1erYfIB4YJ6Ao/4DouF04/usoaNPVUd7HJoNEPv8gaA2H2m1jZknmoFIMO8LttW0q6vP79BskhvBnjBpbm4e+Li0tHTEawd//dVXXx34uL+/X+vXr5cknXXWWUpNTR32PS644AJJUl9fnzZs2HBScwaSXXaaV3PKcm1jpAYAw2vs6NOBpi7bGDvFiIZpRVkqzLLfF7FbDAxvR22Huo3TygR7EA2LJxbIO2g3NRC0tOlwq3MTSmIEe8IkOzt74OP3TvgMZ/DXt2/fPvDx7t27FQgcW5Rnz5494nsM/vqOHTvGNFdJqqqqGvG/2traMb8nEI9CW0Ty8AAMxyyymJXq0ezxOQ7NBsnE5XKFPKhSpBkYnhkMnVaUpXHZaQ7NBskkI9Wj+UYh8PXcXzvC6/QEEsWMGTOUkpIin8+nNWvWjHjt4K8fPnx44OOqqqqBjysqKkZ8j4kTJw58/F5R6LEY/HogmZ0+uUAPvX5w4PONh44qGLTkdlODBDCZKVxLJhfI62HfCNFxxuQC/WV7/cDnBHuA4Zk/H5zqQTQtnVJgSyM060chOrhDC5OsrCxdfPHFkqQtW7bo0UcfHfK6Rx99VO++++7A54Pr7Qz+ePBJoeH+vPd0dnae1JwBhOYVd/T6tbuBOljAUCj2CSeZ6/Xuhg619fgcmg0QuyzLCjnZQ301RJN5f7DpcKt8gaBDs0leBHvC6Fvf+pa83mOHpW655RZ973vf0+HDh+Xz+XT48GF973vf0y233GKrxdPTc7y4YG9v78DHI9XrkaS0tOPHMAe/x2gdOXJkxP/eqx0EJLqyvAyV59vbRrNbDITq7vdra027bYyHB0TT/PI8pXqP37palvT2YdZrwFR1tEf17X22sTMIziOKzO+3Hl9AW6tHLnWC8CPYE0bLly/XfffdJ6/XK5/Pp69//euaPHmyUlNTB9qxe71e/ed//ufAa3Jyjtc6SE9PH/i4v79/xD+rr+/4Ap6RkTHClUOrqKgY8b+ysrIxvycQr5ZOMetAcNQUMG0+3KpA8Hira6/bpUUT852bEJJOmtejhRX2OhAbCc4DIcxmE4VZqZpWlDXM1UD4FWalakaJPVPlbYo0Rx3BnjC79dZb9eabb+q6666zpVp5vV5dc801evvtt3XGGWcMjBcUHH/IHBz4OVFqVlfX8W4oJ0r5AjCy043dhw105AJCmPV65pXnKTOV0n+IrtMnU1QfOBEzhWvJpAK5XNQiRHQtmZRv+5yTmNFHsCcClixZoj/84Q9qbW3V4cOHtXfvXnV0dGjVqlWaPXu29uzZM3DtvHnzBj4eXJR5cLHmoQwuykyxZeDUnGEULaw62qO6tt5hrgaSk3mTZv7cANFgnsR8p4o6EIDJTEcn5RZOWDLJ/n33NpupUUewJ4K8Xq8mTpyo6dOn21K0Nm7cOPDxsmXLBj6urKyUx+ORJO3cuXPE9x789Tlz5oRrykBSqizNUU66/YSCuSsGJLNg0NImI9hj3sQB0WB2FOr1BbXNqCUFJLO2Hp921dsbTRCchxPM9bq2rVe1bWOvNYuTR7AnygKBgP7whz9IOnYi5+yzzx74Wmpq6kDw54033hixbs8rr7wi6Vih5sFpYQDGzuN2hTy4UqQZOG5/U6fae/22sSWT852ZDJJafmZoHQjqrAHHbTp8VNbx8mpK9bg1vzxv+BcAETK9OFu5xmbq24danZlMkiLYE2UPPPCADh8+LEn63Oc+N3CS5z3XXnutJKm9vX0gKGSqqqrSiy++KEm65JJLbLV+AJyckCLNnOwBBpjFPsvy0lWWN/bmAEA4hBbVJzgPvMdcrxdU5Ck9xTPM1UDkuN0uLTJTuajbE1UEe8Ksurp62K+99NJLuuOOOyQdS9n60pe+FHLNZz7zGeXlHYu+/+u//quam5ttXw8EAvrCF76gQCAgSbrzzjvDNHMguZlFP3fUdqi73z/M1UByMXfilpASAAeZ6/WGQ0dlDT7KACQxs2j56dTrgYNON4I9ZjASkUWwJ8zmz5+va6+9Vv/7v/+r119/XRs3btTTTz+tT3ziE7rsssvU09OjwsJCPfHEE7Y6Pu8pLCzU3XffLUk6dOiQzjzzTP3qV7/Shg0b9Mc//lGXXXaZnnnmGUnSTTfdpAsvvDCafz0gYS2cmCf3oEYVgaCld6vanJsQEEPMnTjq9cBJZv2Rps4+VR2lDgTgDwT1zhH7vcsZRnAUiCYz5XtbTZt6fQFnJpOE6JkaZj6fT6tWrdKqVauG/Pq8efP0yCOPaOHChcO+x+c+9znV1NTou9/9rvbt26dbb7015Jorr7xSDz74YNjmDSS7zFSvZo/P1fba44U+Nx1p1ZnTxjk4K8B5bT0+7WnotI2Z7VSBaJo8LlOFWalq6Tpe2/Dtw0c1sTDTwVkBzttZ16Ee40Ga9RpOWjQxXy6XBupI+QKWttW0hZzQRGRwsifM7r//fn3qU5/SvHnzVFhYqNTUVJWXl+v973+/HnzwQW3atGnEQM97vv3tb+u1117TzTffrIkTJyo1NVUlJSW67LLL9Lvf/U7PPffckCeDAJw8c/eBFpGAtPlIq+3zVK9b8yZQ7BPOcblcIQ+wmw63OjIXIJZsMtbryeMyNS47zZnJAJJy0lM0q9ReX5ZUrujhZE+Y3XjjjbrxxhvD8l5nn322rVsXgMhaPLFAv113eODzTUdaZVmWXC7XCK8CEpt5U3ZaeZ5SvewVwVmLJxXoxR0NA59vougnEPJzsHhivjMTAQZZPKlAO+s6Bj6nI1f0cLcGAP/HLDrb2EEdCMB8eDid4syIAeZD7LaadupAIOltNk64UUwfscC8b9h4mKL60UKwBwD+z5RxmSrITLGNmUeigWQSDFqhDw/Uf0AMWDAx31ZU3x+0tLWaovpIXke7+rW/qcs2tngiwR44z7xvYDM1egj2AMD/cblcWmx0GSI1AMlsT0OnOvr8tjE6cSEWZKd5VWnUgaBuD5KZWV8tPcWt2WU5Q18MRNHUoqyQzVSzyycig2APAAxipga8zcMDkph5M1aen6GSXJoDIDaEBOeP8PCA5GVuTi0oz1eKh0c9OO9YUX1zM7XVmckkGVYAABjEzG/fXtNGHQgkLbM4M/UfEEsW05ELGGCmnZs/H4CTzPsHOnJFB8EeABhkQUWeBjff8gUsbauhDgSSk3myh3o9iCXmTnFtW69q26gDgeQzVH01gj2IJeb3447advX0s5kaaQR7AGCQnPQUzaIOBKDW7n7tb7QX+6QTF2LJtKIs5aZ7bWOs10hGextD66uZaY6AkxZW5MszqKq+P2hpS1WrcxNKEgR7AMBg7j5QRA7JyHxoTk9xa05ZrjOTAYbgdru0iKL6QMj3fXl+hkqpr4YYkpXm1ezx9s3UjazXEUewBwAMZqtSdoqRjMwgJ8U+EYvM1EKK6iMZmfcpi0jhQgwyU2/fPtTqzESSCHdtAGBYMjnf9jl1IJCMzOKJi42fCyAWmKkq71a3qd8fdGg2gDPM4LzZWRSIBWYq+OYjrbIsy6HZJAeCPQBgmFaUTR0IJLVA0NKWKnthcnNHDogFiyrybZ/3+4PaUdvuzGQAB7T3+rSnodM2Rr0exKJFRhCyqbNPNW29zkwmSRDsAQADdSCQ7PY3dqrTLPbJTjFiUF5miqYXZ9nGqLOGZLLlSJsGH45I9bg1v5z6aog9k8dlKj8zxTZmdpFDeBHsAYAhmA+21IFAMtl0pNX2+YS8dJVQ7BMxyjx1xklMJBMzuDl3Qq7SvB6HZgMMz+VyaaFxGnPzEYLzkUSwBwCGsGQydSCQvN4xgj0U+0QsM1NWNvHwgCRinjw2O4oCsWShsZn6zpG2oS9EWBDsAYAhUAcCyWyzEewxd+KAWGI+3B5p6VFjR58zkwGiyLKskJOY1FdDLDNPzr9b3SZ/gM3USCHYAwBDyMtM0YySbNsYdSCQDHp9Ae2s67CNmTtxQCypLM1RVqo9bYU6a0gGB5u71drts41xsgexbEFFnu3zHl9Au+s7h7kap4pgDwAMw9x9MLsTAYloW02bAsHj1T7dLum08rwRXgE4y+N2hQQkqbOGZGAGNYtz0lSen+HQbIATG5edpkmFmbYx8zQxwodgDwAMIzSvuNWReQDRZBa3rSzNUVaa15nJAKNknmbYUtXqyDyAaAqprzYxXy6Xy5nJAKPE/XX0EOwBgGGYdUr2N3Wprcc39MVAgnjHOMG2iBQuxAFzvX63qk3BQSfUgETEeo14tNBI5eJkT+QQ7AGAYcwan6NUr32ZfJdULiQ4c4eNej2IB+b3aUefX/ubupyZDBAF/f6gttfYG0dQTB/xwDyJubuhQ519fmcmk+AI9gDAMFK9bs0ty7WNvUNqABJYc2efDrd028Z4eEA8KM1N1/jcdNsYqQFIZLvqOtRvdDE6rYL6aoh98ybkyes+nm5oWWymRgrBHgAYgXkkmqOmSGRmEfKMFI8qS7OHuRqILWaXF4LzSGSbje/vaUVZystIcWYywBikp3g0uyzHNsZ6HRkEewBgBAsn2h8eKPqJRLbJCGaeVp4nr4dbBcSHkKKf7BQjgZkn18xgJxDLzFPDm+mgGBHcwQHACBYYv4zq2/tU19brzGSACAut18PDA+KHeRJzR027+v3BoS8G4py5+UR9NcQTc73mZE9kEOwBgBFMHZelnHR722lSuZCILMsKudlaNLHAmckAJ2F+uT042R8Iamdd+zBXA/Grs8+vPQ2dtjGCPYgnZrCntq1X9e1spoYbwR4AGIHb7Qo5akoqFxLRoeZutXb7bGOc7EE8yctI0bTiLNsYRZqRiN6tapNlHf/c63aFNJQAYtn04mxlp7GZGmkEewDgBCj6iWRgfl8XZaepPD/DmckAJ8kMzlO3B4nI3HSaXZaj9BSPM5MBToLb7Qq5vybYE34EewDgBMyj0VuOtCkYtIa+GIhT5k3Wool5crlcQ18MxKiFZnCehwckIDM4bwY5gXgQUreH9TrsCPYAwAmYN1EdfX4daO5yZjJAhJjBHh4eEI8WGA8Pexs71dnnd2YyQIS8c8R+Yo31GvEoZDO1qk0BNlPDimAPAJzA+Lx0leam2cbYfUAi6fcHta3GXsh20aR8ZyYDnIK5Zbnyuo+fSLOsY/VNgETR2NGn6tYe2xjFmRGPFhvft519fu1r7Bz6YpwUgj0AMAohdSAI9iCB7KwLbVG9gJ1ixKH0FI9ml+XYxiiqj0Rifj9npno0oyTbmckAp6AkN11leem2sc2HW52ZTIIi2AMAo2DumlH0E4nEDF5OK85SXkaKM5MBTlFokeZWR+YBRIJ5/zG/PE8eN/XVEJ/Muj3vVnN/HU4EewBgFMyHh+01oSchgHi1pYr6D0gcIcH5Izw8IHGYwXnzYRmIJ6cZRfW3EOwJK4I9ADAK5i+j/kBQO+vah7kaiC/mTprZDhWIJ2awsrq1R40dfc5MBggjy7JCTqqxXiOeLSjPt32+o5bN1HAi2AMAo5CXkaJpRVm2MVK5kAh6+gPaXd9hG+PhAfFsRkm2MlM9tjHq9iARHGnpUWu3zzbGSUzEs9PKjc1UfzDkngQnj2APAIxSaGpAqyPzAMJpe22bBnc6dbukuWUEexC/PG6X5hsPEATnkQg2G0HLcVmpqijIcGYyQBjkZaZo8rhM2xh1e8KHYA8AjJJ52oFgDxKB2Za6sjRHGcapCCDemHVMWK+RCMzv4wUVeXK5KM6M+Gae7jHrCOLkEewBgFEyT/bsbexUZ5/fmckAYWIWQzRPRADxyAzOb6lqlWVZw1wNxAczHdG8LwHikblev1vd6sxEEhDBHgAYpbllufIOam9qWaGnIoB4Y34PU68HicCsY3K026cjLT3OTAYIg0DQ0tZqe2MIgj1IBKcZRZp31XWozx9wZjIJhmAPAIxSeopHs8bn2Ma2kleMONbV59fexk7bmHmcGohHFQUZKsxKtY2Z9U6AeLKvsVM9PvsDMOs1EsH88lzb576ApV11FGkOB4I9ADAG5o0VReQQz7bVtGtwZovX7dKcstzhXwDECZfLFXJKjeA84plZx2RCXrqKstMcmg0QPjnpKZpWbO94S92e8CDYAwBjYNYz4eEB8cys/1BZmqP0FIozIzGEBOd5eEAcM+83qK+GRMJ6HRkEewBgDMxfRvubutTR63NoNsCpMU+mUa8HiSQkOF/TRpFmxC1zvSaFC4kkpCMXm6lhQbAHAMZg1vgcW5Fm6VgqDBCPzJ2z0wj2IIGYDw8dvX4dau52aDbAyQsELW037jXms14jgSwwiurvru9Qr48izaeKYA8AjAFFmpEoOnp92t/UZRtjpxiJpCwvXeOMIs3UWUM8ojgzEt28CblyDdpLDQQtba9lM/VUEewBgDGiSDMSgdnCN8XjCglkAvHM5XJRZw0JwTyFSXFmJJqsNK9mFGfbxqjbc+oI9gDAGJkPDwR7EI/erW61fT57fK7SvBRnRmIhOI9EYH7fUpwZichMJWe9PnUEewBgjEKKNDdSpBnxx2xrSr0eJKKhTvZQpBnxhuLMSAYL6MgVdgR7AGCMKNKMRBDSiYuHByQgM4jZ3uvX4RaKNCN+UJwZyeI0o0jznoYOdff7nZlMgiDYAwBjlJ7iUWUpRZoRv9q6fSFdiTjZg0Q0IS9dhUaRZrNeFRDLKM6MZDG3LFeeQZupQUshgU6MDcEeADgJ1IFAPDO/X1O97pAAJpAIhirSzHqNeGKmspRRnBkJKiPVo5kl9iLNZso5xoZgDwCcBPMINQ8PiCdbjOLMc8tyleLhlgCJ6bTyXNvnnMREPKE4M5LJAu6vw4o7OwA4CebJngNNXersI68Y8cHcKSYlAIlsqJOYFGlGvDCDk6zXSGTm9/eWqlZnJpIgCPYAwEmYbRRptixpG7sPiBMhnV2o14MEZp6EaOvxqepoj0OzAUYvELRCGkCwXiORmUWa97OZekoI9gDASRiqSDNHTREPWrr6Qx50zWPTQCIpz89QQWaKbYz1GvFgP8WZkWSG2kwl9fbkEewBgJNEkWbEI/P7ND3FrRnF2cNcDcQ/ijQjXpnFaSnOjESXnuLRrPF0vA0Xgj0AcJIo0ox4tK3G/n06pyxXXoozI8GZwXkeHhAPKM6MZDR/gv37nPbrJ4+7OwA4SRRpRjzaVm2/aTJvqoBERJFmxCOKMyMZzTM7KNYQnD9ZBHsA4CRRpBnxyDzZM9+4qQISkXkiorWbIs2IbUMWZybYgyQwz9iE2tvQqZ7+wDBXYyQEewDgJKWneDSTIs2II+29Ph1s7raNmTdVQCKqKMhQvlGkmVQuxLKhijOTxoVkMKcsR67je6kKWtLOOlK5TgbBHgA4BaeZR015eEAM22HsEqd4XJpZSnFmJD6Xy0VRfcQV8/tzfG66inMozozEl5nq1XSjcYR5yg2jQ7AHAE4BDw+IJ1uNm6WZJTlK83ocmg0QXXTkQjwxvz9Pq+BUD5LHvAn2zVQzBR2jQ7AHAE7BaRX5ts/3U6QZMcysKUW9HiQTsxj5Voo0I4ZRnBnJzFyvOdlzcgj2AMApGKpIMy0iEavMmyXq9SCZmA/LR7t9qm6lSDNiTzBohdxLEJxHMjFP9uys7ZAvEHRoNvGLYA8AnIL0FI9mlNjzirdz1BQxqNcX0N7GTtsYDw9IJhMLM5SXQZFmxL5DLd3qMroPEZxHMjG/3/sDQe1t6BzmagyHYA8AnKK5IXnFnOxB7NlZ16FA8HjKisslzSkj2IPk4XK5QgKcrNeIReapnnFZqSqhODOSSF5miioKMmxjBOfHjmAPAJwic/eBhwfEIvMmaVpRljJTvQ7NBnCGuV6TdotYZBajnTshV67BvaiBJEDdnlNHsAcATpGZV7ynoUP9fvKKEVvMmySzMxGQDOaWcbIHsY/6agAducKBYA8AnCIzjcsXsLS7vsOh2QBDM2+SzJsoIBmY3/d17b1q7uxzaDbA0EKDPazXSD7mptT2mnYFg3RQHAuCPQBwinLTUzSpMNM2tr2W3WLEDl8gqJ119gCkeTwaSAbTirOVnmK//WW9RixpaO9VkxGAJNiDZGR+33f1B3Swucuh2cQngj0AEAZmagB1IBBL9jZ0hqQWmifSgGTgcbs0ezypXIhd5vdjVqpHU8ZlOTQbwDkluekqNgqTb2W9HhOCPQAQBuQVI5aZDw8VBRnKz0x1aDaAs+igiFhm3j/MKcuV201xZiQn7q9PDcEeAAiDeeWhJ3vIK0asMDtxkRKAZGZ+/2/n4QExhHo9wHEhHbmqCc6PBcEeAAgDs1NGV39Ah1q6HZoNYGfuhFGvB8nMXK/3N3Wpu9/v0GwAOzpxAccNdbLHsthMHS2CPQAQBiU5aSrKtqfFULcHsSAYtEK+F82TaEAymT0+R4OzYixL2lFLB0U4r73Xp8PGRhH11ZDMzI5cR7t9qmnrdWg28YdgDwCEgcvl0pwy8ooRew42d6mrP2Ab42QPkll6ikfTi7NtY3TkQiwwA/MpHpcqS3Mcmg3gvIqCDOWme21j26q5vx4tgj0AECbmUWuKfiIWmN+HRdlpKslNd2g2QGygbg9ikblezyzJUaqXxzUkL5fLFXJ/TUeu0WP1AIAwCc0r5pcRnLfVrNdDChdAcB4xKSTllhQugOD8KSDYAwBhYv4yaursU0M7ecVwlvnwQAoXEFoHZWddh3yBoEOzAY4x078J9gChdXu20pFr1Aj2AECYTBmXpcxUj22M3WI4ybIs2q4DQzB/Dvr9Qe1v7HJoNoDU5w9ob0OnbWxeOcF5wFyv69p71dTZ59Bs4gvBHgAIE7c7tEgzRT/hpNq2Xh3t9tnGzB0yIBnlZ6aqPD/DNkZRfThpd12n/EF7S2nzngJIRtOKs5WeYg9bsJk6OgR7ACCMQuv28PAA55g3QznpXlUUZAxzNZBczFQuHh7gJPN+Ycq4TGWneYe5GkgeniE2U81TyxgawR4ACCOKNCOW7DBOls0ty5XL5XJoNkBsmWuexGS9hoPM+wWziDiQzMz7a/P+BkMj2AMAYWTenB1q7lZ7r2+Yq4HIMm+GSAkAjhvqJKZlWcNcDUSWebLHPHkGJLO5Zfb7a4I9o0OwBwDCaGZptrxu+8mJHewWwyFmzSgeHoDjzOK37b1+VR3tcWg2SGaBoKUdtR22MYrpA8fNKcuxfX6gqUs9/QGHZhM/CPYAQBileT2aUZJtG6NIM5zQ2efXoeZu25iZtgIkswl56crLSLGNsV7DCQeautTjsz+4ksYFHDdrfI4GZ6EHLWlXfcfwL4Akgj0AEHbmDRp1e+CEncZDq9ftCglEAsnM5XJRZw0xwUzhKslJU3FOmkOzAWJPZqpXU4uybGOkcp0YwR4ACDMeHhALzJug6cXZSk/xODQbIDaZ6/V2OijCAWZxcFK4gFBm3UGCPSdGsAcAwsy8SdtT36E+P3nFiK7tRv0HM98dQOhJTDpywQlm+iApXEAoOiiOHcEeAAizOUawxx+0tKe+06HZIFlRnBk4MfPnoqatV0e7+h2aDZKVeUKB9RoIZQZ7dtZ1KBikg+JICPZESH9/v+6//35dccUVKisrU1pamrKzszVr1ix96lOf0uuvvz6q91m9erWuu+46VVRUKC0tTRUVFbruuuu0evXqCP8NAJys3PQUTSrMtI2x+4BoCgQt7aqj7TpwItOKspTmtd8Ok3qLaGro6FVTpz3ASDF9IJR5H9PZRwfFEyHYEwGHDh3SkiVLdNttt+mFF15QXV2d+vv71dXVpd27d+uhhx7SOeecoy9+8YuyrKGjkcFgUJ/5zGd05ZVXauXKlaqurlZ/f7+qq6u1cuVKXXnllbrtttsUDAaj/LcDMBrmjdqOOh4eED0HmrrU67P/fiDYA4TyetyaXWbWWaNuD6LHbLmemeoJ2TACIJXmpqkg0+ygyHo9EoI9Yebz+XTVVVdp27ZtkqQFCxbooYce0htvvKEXXnhB3/jGN5SVdayS+D333KO77757yPf56le/qgceeECStHjxYj366KNav369Hn30US1evFiSdP/99+trX/taFP5WAMaKInJwkvn9VpKTpqJsOrsAQwmpA8F6jSgy1+tZ43PkdruGuRpIXi6XKyTF0axPCDuv0xNINKtWrRoI9Jx11ll69dVX5fEc735y2WWX6ZprrtFZZ50ln8+nu+++W//yL/8ir/f4P8Xu3bv1ox/9SJJ0xhlnaM2aNcrIyJAkLV26VNdcc40uuOACbdiwQT/84Q916623asaMGVH8WwI4kdlGMdwdtR2yLEsuFzdwiDzz4YFTPcDwzIeHnTw8IIpYr4HRmzM+V2v3Ng98zmbqyDjZE2aDa/H827/9my3Q857TTz9dV199tSSptbVVO3bssH39pz/9qfx+v6Rjp3/eC/S8JzMzU/fcc48kye/36yc/+UlY/w4ATp25U9zW41Nde69Ds0GyoTgzMHpzxtuD8/saO+mgiKgh2AOMnvnzQU3MkRHsCbP+/uMF1qZNmzbsddOnTx/yNZZladWqVZKk2bNna/ny5UO+fvny5Zo1a5akY6eJhqv9A8AZFQUZyk6zH55k9wHRwsMDMHqzjGCPP2hpbwMdFBF5vb6A9jV22cbmGieDARxnbl5Vt/aorcfn0GxiH8GeMHsvACNJ+/fvH/a6ffv2STqWezhz5syB8QMHDqimpkaSdMEFF4z4Z7339erqah08ePBkpwwgAlwul2aPD03lAiKtubNP9e19tjE6uwDDy0lP0cRC+ylq1mtEw96GTgWM1tGzxrNeA8OZXpytFI+9JMJONlOHRbAnzG666Sbl5h5bpO+++24FAqHHgDdt2qTnnntOknTzzTcPXC9J27dvH/h49uzZI/5Zg79upoKdSFVV1Yj/1dbWjun9AIQKOWrKLyNEgfmQmp7i1tSiLIdmA8SHOePNuj2s14g88xTmpMLMkFPBAI5L9bo1s8S+mcr99fBYTcKsqKhIDz/8sG666SatXbtWS5cu1R133KHKykp1dnZq7dq1+vGPf6z+/n4tWbJEP/7xj22vr6qqGvi4oqJixD9r4sSJAx8fOXJkTPMc/FoAkWEGe3h4QDSEdHYpzZGHzi7AiOaU5eqF7fUDn++oY71G5JnB+TmkcAEnNKcs1xbgoUzC8Aj2RMA111yjjRs36sc//rEeeOAB3XLLLbavl5aW6rvf/a5uu+02ZWZm2r7W0XF80c/Ozh7xz3mvhbskdXaSWw7EGvOm7UBTl3p9AaWnhBZuB8KF4szA2JnrNR0UEQ3UVwPGbqj1GkMj2BMB/f39+s1vfjNs4eT6+nr99re/1dSpU3XNNdfYvtbbe7xbT2pq6oh/Tlpa2sDHPT09Y5rjiU4C1dbWatmyZWN6TwB2s8bnyOWS3lsGgpa0q65DCyfmOzovJDYeHoCxM39OWrr61djRp5LcdIdmhERnWVbICTLWa+DEzE2sXfUd8geC8nqoUGPi/0iYdXV16dJLL9W///u/q6WlRV/+8pe1Y8cO9fX1qa2tTS+88ILOPfdcbdiwQddee63+8z//0/b69PTjNxWDu3QNpa/veAFOsz37iVRUVIz4X1lZ2ZjeD0CozFSvpoyz10rZSWoAIqjPHwjpIkRxZuDEJhZkKivVfuqSOhCIpLr2XrV227sIsV4DJ2b+nPT7g9rf1DXM1cmNYE+Yfetb39Krr74qSXrggQd09913a/bs2UpNTVVubq4uu+wyvfzyy7roootkWZbuvPNOvfPOOwOvz8k5fiztRKlZXV3Hv6lPlPIFwBkcNUU07anvlN/o7DKbhwfghNxuV0gL9p11rNeIHPMUZnaaVxUFY9u8BZJRfmaqyvLspy6p2zM0gj1hZFmWHnzwQUlSZWVlSK2e93i9Xn33u9+VJAWDQT300EMDXxtclHlwseahDE7FouAyEJvMDi/sFCOSzJudyePo7AKMlplCw8MDIsnc/Jk9PocaUcAomad7ttewXg+FYE8Y1dfXq6WlRZK0ePHiEa89/fTTBz7euXPnwMdz584dcnwog78+Z86cMc0VQHSYpyp21LYPWcsLCAczmGgGGwEMb6j1GogU6qsBJ8/8eWEzdWgEe8LI6z2+e+r3+0e81uc7nqM7+HVTp07VhAkTJEmvvPLKiO+xZs0aSVJ5ebmmTJky1ukCiAIzjauj16+att5hrgZODQ8PwMmba6zX+xq71OcPODQbJDrWa+DkhZ7EJO12KAR7wqiwsFC5uce+8d54440RAz6DAzlTp04d+NjlcmnFihWSjp3cWbdu3ZCvX7du3cDJnhUrVnDsE4hR5fkZykm3p9Hs4KgpIsCyrJBjzLRdB0ZvlnESLhC0tKd+5PqJwMno9QV0wCgoa24OARieeX/T1Nmnhg42U00RSeT/zne+E4m3DfGNb3wjKn/OaLndbl111VV69NFHVVNTo+9///v65je/GXLd0aNHdddddw18fvXVV9u+fscdd+iXv/ylAoGAbr/9dq1Zs8bWbaunp0e33367pGOngu64447I/IUAnDKXy6U543O1/mDLwNiO2nZdOrfUwVkhEdW09aq9177JwMMDMHrZaV5NKszU4ZbugbGddR2aX57n4KyQiHbVdWhwLX2XSyEFwgEMb3JhpjJTPeruP376ckdth0py0kd4VfKJSLDnW9/6VlROmsRasEc6NqdVq1apu7tb3/rWt7Rx40bdcsstmjZtmnp7e7Vu3Tr99Kc/1eHDhyVJl1xyiS6//HLbe1RWVurOO+/UD37wA23YsEHnnHOO7rrrLk2fPl379u3T3XffrU2bNkmS7rzzTs2cOTPqf08AozenLMcW7KHDCyLBPDGWm+5VeT6dXYCxmD0+xxbsoW4PIsH8vpo6LkuZqRTTB0brvQ6Kmw63DoztqG3XBZXFzk0qBkV0VYlkEdJYTVuaPXu2Vq1apZtuuklNTU165pln9Mwzzwx57cUXX6zf//73Q37t+9//vhoaGvTggw9q06ZNuvHGG0Ou+fSnP63vfe97YZ0/gPCjwwuiYaj6D7H6uxKIVXPKcvXC9vqBz1mvEQnm99VsTmECYza3LNcW7KEjV6iI1uzZunWrgsFgWP/bsmVLJKccFpdeeql27typu+++WxdeeKGKi4uVkpKijIwMTZ06VTfccINWrlypF198UQUFBUO+h9vt1gMPPKDnnntOK1as0IQJE5SamqoJEyZoxYoVev7553X//ffL7absEhDrzGDPgeYudfePXMQdGCvzxBjFPoGxGyo4TwdFhNsOc72mcyIwZmymnljcnReMl13KcePG6ctf/rK+/OUvn9L7XHnllbryyivDNCsATqgszZHbpYH8fMuSdtd3atHEfEfnhcSys87YKab+AzBmZp2ro90+NXT0qTSXOhAID8uy6MQFhIH5c7O/6VgHxTSvx6EZxR6OhQBAhGWkejSlKMs2xu4Dwmmozi4U+wTGbmJBprJS7Q8KrNcIp+rWHnWYxfTpnAiMmXmfEwha2ttAB8XBIhLsefnll/XSSy/ZWoqHy9SpUwfeHwDiBUdNEUl7GzpDOrtUlhLsAcbqvaKfg+2opag+wsf8fspN92pCHifHgLHKTvNqYqG9EcUumqDYRCSN64ILLojE20qSMjMzI/r+ABAJc8ty9dyW2oHPCfYgnMzvp0mFmcpKi7tMbSAmzCnL1dtGhxcgXCimD4TP7PG5OtLSM/A5HW/tSOMCgCgw66fsrO2g6CfCxtzJol4PcPLMk5hmPSzgVFCvBwifkPtrgj02BHsAIArMm7mOPr+qjvYMczUwNubNzWw6uwAnzSzSvK+xS72+gEOzQaIJDfYQnAdOlpl2u5OTmDZRPePd1tam//qv/5Ik3XbbbSorKxvx+traWv3v//6vJOlLX/qSsrKyRrweAGJVWV668jJS1NbjGxjbUduuiYWZDs4KiSI02MPDA3CyZhnB0veKfs4vz3NoRkgUXX1+HWrpto1xsgc4eebmVkNHn4529asgK9WhGcWWqJ7seeSRR/Stb31LjzzyyAkDPZI0fvx4PfLII/r2t7+txx57LAozBIDIcLlcHDVFRDR19qmps882NpuHB+CkZad5NckIxFO3B+Gwu75DgzO43RTTB07JlHGZSvXaQxrcXx8X1WDP6tWr5XK5dMMNN4zqepfLpRtvvFGWZemZZ56J8OwAILLoyIVIMOv1pKe4Qx5UAYyNmVpDRy6Eg7leTynKUnqKx6HZAPHP63FrZkm2bYw6a8dFNdizefNmSdLZZ5896tecddZZttcCQLyaS7AHEWB+H80qzZHHTWcX4FSYqQE8PCAcSLkFws9cr2m/flxUgz0NDQ2SNKoUrveMHz9eklRfXx+ROQFAtMw2dooPtXSrp5+inzg15k2NWawQwNgNdRKTDoo4VSHrdSkpt8CpMoOmOwj2DIhqsCc9PV2S1N3dfYIrj3vvWo+HI44A4tvMkhy5Bh24sCxpTwO/kHBq6MQFhJ95EvNot08NHX3DXA2cmGVZ2lVPcB4IN3MzdU99h4JBgvNSlIM9753o2bBhw6hf8961753wAYB4lZHq0WSjlgpF5HAqAkFLu+tJCwDCraIgQ5mp9o1G1mucisbOPrV09dvGWK+BU2cGTbv7AzpydPSHSxJZVIM95513nizL0r333iufz3fC630+n+699165XC6de+65UZghAESW+QuJvGKcioPNXerzB21j7BQDp87tdoV0SdpF3R6cAvP3fUaKh2L6QBgUZ6ep0Gi1TlH9Y6Ia7PnUpz4lSdqzZ49uvvnmEdO5uru7ddNNN2n37t221wJAPJtFETmEkfn9U5yTpnHZaQ7NBkgs5qmLXXWdDs0EicBcrytLs+WmmD5wylwu1xDrNffXkuSN5h929tln68Ybb9Rjjz2mP/zhD1q/fr1uu+02nXfeeQMpXrW1tVqzZo3uv/9+VVVVyeVy6frrr9cFF1wQzakCQESE/DKq55cRTt5OoxMXKQFA+ISc7KnnZA9OnpkGyClMIHxmjc/R6/uaBz5nvT4mqsEeSXrwwQfV1NSkF198UVVVVfrmN7855HXvdTy47LLL9Otf/zqaUwSAiDFv7ho7juXwm8dPgdEwO04Q7AHCx/x52lPfqUDQkofTGDgJoZ0TKaYPhIu5Xu8kjUtSlNO4pGMduf785z/rpz/9qcrLy2VZ1pD/TZw4UT/72c/0pz/9aaCLFwDEu8mFmUr12pfendSBwEkyHx7oxAWEjxmc7/MHdbC5y6HZIJ5RTB+ILPP+52Bzl3r6Aw7NJnZE/WSPdCyv7otf/KJuv/12bd68WZs2bVJTU5MkqaioSEuWLNHChQvlcrFzAiCxeD1uzSzJ1raa4wGeXXUdOnt6kYOzQjzq7PPrcIu99h1pAUD4jMtOU1F2mpo6j7dc313XoenF2Q7OCvHoEMX0gYiqLM2RyyX9X3KQgpa0p6FDCyryHZ2X0xwJ9rzH5XJp8eLFWrx4sZPTAIComjU+JyTYA4yVuUvscbs0o4SHUCCcZo3PVtPe48GenXUdev9pZQ7OCPHI/D1flJ2qIorpA2GTkerRlHFZOtB0/PTlzjqCPVFP4xqK3+9XY2OjGhsb5ff7nZ4OAERUSF4xwR6cBDMffWpRltJTPA7NBkhMs0rpoIhTR3FmIPJmmUX1Wa+dC/Zs375dX/ziFzV37lylp6dr/PjxGj9+vNLT0zVnzhzdfvvt2rp1q1PTA4CIMYsy7qnvUDBoOTQbxKtddXTiAiKNDooIh5DizKXUVwPCzQyiUhPTgWBPMBjUl770JS1cuFA///nPtXPnTgWDwYHCzMFgULt27dK9996rxYsX65/+6Z8UDAZP/MYAECfMh4eu/oCqW3scmg3ildmJa04ZDw9AuJkPDwebu9Tro+gnxsYMEhKcB8JvThkne0xRr9lz88036/e///1Aa/V58+Zp2bJlKi0tlSTV19frrbfe0tatWxUIBPSzn/1MNTU1evzxx6M9VQCIiJKcNOVlpKitxzcwtrOuQxMLMx2cFeKJZVlD7BTz8ACE28zSbFvRT8s61oL9tIo8ZyeGuNHTHwjp4kYaFxB+5sn5ps5+NXb0qTgneetjRTXY89hjj+mJJ56Qy+XSwoUL9ctf/lJLly4d8tq33npLn//857Vp0yY9+eSTeuyxx3TjjTdGc7oAEBEul0uzxudo/YGWgbFdde26bG6pg7NCPKlr77UFCyVpdhkPD0C4ZaZ6NakwU4eaj3e+21nXTrAHo7anoWMgWChJLtexzkEAwmtSYabSU9zq9R3PCtpV15HUwZ6opnH98pe/lCRVVlbqtddeGzbQI0lLly7VmjVrNGvWLFmWpfvuuy9a0wSAiKNIM06F+f2Sk+ZVeX6GQ7MBEhtFP3EqzPV6cmGmMlIppg+Em8ftClmvk71uT1SDPe+8845cLpfuuusuZWVlnfD6rKws3XXXXQOvBYBEYR7hNttoAyMxO3HNGp8jl8vl0GyAxEaRZpyKkJRbUriAiAkt0pzc63VUgz39/f2SpAULFoz6Ne9d6/P5TnAlAMQP8+Fhf2OX+v0Uo8fomJ24eHgAIqfSDPYk+cMDxiY02EMxfSBSZhs/X8m+Xkc12DN58mRJUltb26hf097ebnstACSCmcYxU3/Q0r7GTodmg3hj7lTNphMXEDFmcL6ho09Hu/odmg3iTch6TXAeiBjz52t3fYcCQWuYqxNfVIM9H/rQh2RZlp566qlRv+bJJ5+Uy+XSddddF8GZAUB05aanhNRYSfbdB4yOLxAMCQzy8ABEzpRxWUr12m+Zkz01AKPT3Nmnps4+2xgnMYHIMX+++vzBkG54ySSqwZ5//ud/1rRp03TffffpiSeeOOH1Tz75pO677z5NnTpV//Iv/xKFGQJA9JBXjJNxoKlLvoB9l4rOLkDkeD1uzSjOto2ZqZTAUMxNnDSvW1PGnbhuKYCTMy47LaT7VjJvpkY12JOXl6cXX3xRS5Ys0U033aRrr71WK1euVHV1tXw+n/x+v6qrq7Vy5Updd911+shHPqIlS5bor3/9q/LyaHEJILGYwR4eHjAa5k1LWV668jJSHJoNkBxC1ut60m5xYuYmzszSbHncFNMHIimk421t8t5fe6P5h3k8x9sMWpalZ555Rs8888yw11uWpQ0bNmjatGnDXuNyueT3+8M6TwCIhtC8Yh4ecGJm5zZO9QCRR3AeJyOkOHMp9dWASJs9Pkev7mka+DyZT85HNdhjWdaIn4/mNQCQKMyHh+rWHrX3+pSbzikNDI82vkD0mT9nu+s7ZVmWXC5OaWB4O+spzgxEm9nxblc9wZ6o+OY3vxnNPw4AYtq0omx53S75B3UJ2F3XoTOmFDo4K8Q6TvYA0Wc+pHf2+VV1tEcTCzMdmhFiXTBoaU89wXkg2maPz1FBZopmj8/VrPE5mluWm7TBeYI9AOCQVK9b04qzbOlbOwn2YAS9voAOtXTbxmYR7AEibnxuunLSveroPV46YHd9B8EeDOvI0W519wdsY5zsASJv3oRcvf31y5IyuGOKaoFmAIBdyFHTJM4rxontbejU4Oxml0uaUZI9/AsAhIXL5Qot+sl6jRGY3x8FmSkhXYIAhJ/L5SLQ83+iGuzZunXrSb/27rvvDuNMACA2mA8PyZxXjBMzg4GTCjOVkeoZ5moA4RRapJn1GsMbqr4aD6AAoimqwZ4rrrhCBw8eHPPrvv/97+srX/lK+CcEAA4zU3B21XVQmB7Dol4P4BxOYmIszO+P2ePpxAUguqIa7KmtrdWll16q+vr6Ub/m29/+tr7+9a9HcFYA4Bxzp7itx6f69j6HZoNYZ578ol4PED3mz9u+xk71+4MOzQaxLmS9pl4PgCiLarCnuLhYBw4c0OWXX67W1tYTXv+Nb3xD3/nOdyRJF1xwQYRnBwDRV56foSwjDWdnXbtDs0Gs223sFFfy8ABEjRns8QctHWjqcmg2iGV9/oAOGt8bnMQEEG1RDfb8+c9/Vm5urrZu3aorr7xS3d3dw177la98Rd///vdlWZYuueQSPffcc1GcKQBEh9vtCnlgJzUAQ2nv9ammrdc2xskeIHryMlNUlpduGyM4j6EcaOqSP2hPyZ5ZSjF9ANEV1WDPokWL9Mc//lHp6el68803dd1118nn84Vcd9ddd+nuu++WZVm6/PLL9cwzzygjIyOaUwWAqAkp0kywB0PYY6QEeN0uTS3Kcmg2QHIyT2ewXmMou+s7bZ9PyEtXbnqKQ7MBkKyi3nr9vPPO0xNPPCGPx6MXX3xRN998s60Y6Ze+9CX96Ec/kmVZet/73qdVq1YpPT19hHcEgPgWUqSZjlwYgvnwMLUoS6neqP8aB5KaGZw3i6YDUmhwfianMAE4wJG7xKuuukoPPfSQJOkPf/iDPvvZz0qSvvjFL+qnP/2pLMvSVVddpZUrVyotLc2JKQJA1JhpXHsbOhUI0pELduYJAur1ANFnFtndyckeDGGotusAEG1ep/7gm2++Wa2trfqHf/gHPfjgg1q/fr22bt0qy7L0gQ98QE8++aRSUjjuCCDxmWkBff6gjrR0awopOhjEPEFAvR4g+syH9qqjPers8ys7zbFbasSgPQ32k5gzS6jXAyD6HD3//YUvfEHf+c53ZFnWQKDn2muvJdADIKkUZaepMCvVNkYqF0xmsIfOLkD0TS/OlttlHzNTdpDcen0BHWymExcA5zme7P+1r31Nd9xxhyzL0vXXX6/f//73BHoAJB1z14+HBwzW1Nmnps5+2xhpAUD0pad4NGWc/dTlHqOeFpLb3oZOWUYmNp24ADghImdOPR7PmF/jcrn01FNPKTU1ddiv+/3+U50aAMSkWeNz9OaBloHPzWK8SG7mqZ40r1uTCjMdmg2Q3GaWZmt/0/GTGxRpxmB7GuzfDxMLM5SZSpofgOiLyMkey7Ii8h8AJCqzUwcPDxhst1Hsc0ZJtjxmLgmAqDBTcnY3EJzHcbvq7N8PlSWcwgTgjIiEmb/5zW9G4m0BIGFVGmlc+xu75A8E5fU4nm2LGGA+TFKcGXCOGZwn7RaDmd8PdE4E4BSCPQAQA8yd4v5AUIdaujW9mDx/hJ7s4eEBcE6lUX+ltq1X7b0+5aZTcxKhDRbM7xcAiBa2jAEgBhRkpaooO802Zj7gIzlZlhXy8MDJHsA5U4uyQtIoKdIMSerq86vqaI9tjE5cAJxCsAcAYoS5+0eRZkhSXXuvOnrtDQo42QM4J83r0ZRx9gLp1FmDdKwT12BulzihC8AxBHsAIEaEFv3k4QHSLuOEV3aaVxPy0h2aDQBpiPWaYA8UmsI1eVyW0lPG3qUYAMIhIsGew4cP6/DhwwoEAmF/70AgMPD+AJBIzIcHin5CCn2InFmaLZeLTlyAk0LXa05iYojizNTrAeCgiAR7pkyZomnTpmnXrl1hf++dO3cOvD8AJBLzpvBAU5d8gaBDs0GsMNv4Uq8HcB4nezAUM/2aej0AnBSxNC7LsiL11lF5fwCINrOdry9g6WBTl0OzQawwHyJ5eACcZwbnGzr61Nbtc2g2iBWhJzFZrwE4J6I1ezhmDgCjl5eRotJce0cuM/8fySUYtLTHqN00i+LMgOOmFGUpxWO/z6XOWnJr7/Wptq3XNsZJTABO8kbyzS+//HKlpKSE9T19PnZNACSuytIc1bf3DXxOR67kduRot3p99lQ+TvYAzkvxuDW1KMu2Ru+u79DSKYUOzgpOMuv1eN0uTS3Kcmg2ABDBYI9lWaquro7U2wNAQqoszdGre5oGPqdIc3IzO3EVZqWqKDvVodkAGGxmaY4t2EOR5uRmbs5MLcpSqpfGxwCcE5Fgzy233BKJtwWAhGfWgaDoZ3ILqf9QQicuIFZUluToOdUOfM56ndyorwYg1kQk2POrX/0qEm8LAAnPLOZ4sLlbff6A0rweh2YEJ+0ydoqp1wPEjtDgPCd7kllocWbargNwFmcLASCGzCyx3xwGgpYO0JErae2uY6cYiFVmcL6ps08tXf0OzQZOM4N9FGcG4DSCPQAQQ3LSUzQhL902ZtZtQXLwBYLa38TJHiBWTRmXqVSP/VaaVK7kdLSrX40dfbYx2q4DcBrBHgCIMZXGAz1FP5PTwaYu+QKWbayyhIcHIFZ4PW5NK7Z3W6KofnIyg3ypHremjMt0aDYAcAzBHgCIMWaqDjvFyWlPgz3IV5KTprzMFIdmA2Aooes1wflktNtYr6cVZ8nr4TELgLNYhQAgxph1e8yHfiQHOrsAsY8OipCorwYgNhHsAYAYY94kHmruUq8v4NBs4BQzyDejhM4uQKwx67IQnE9OZpCP+moAYgHBHgCIMeZDfdCS9vIAkXT2Gukg7BQDscf8uWzp6ldTZ98wVyMRWZYV2nad4DyAGECwBwBiTFaaVxUFGbaxPQ2kBiSToTpxzSzl4QGINZMKM5XmpSNXMmvq7NfRbp9tjOA8gFgQ1WDPxRdfrH/6p3/SunXrovnHAkDcmUXRz6R2qLk7pBMXO8VA7PG4XZpebNRZY71OKmYHtvQUtyYW0okLgPOiGux55ZVX9LOf/UwNDQ3R/GMBIO6E1IFgpzipmP/exTlpys9MdWg2AEZiFmnexXqdVMyTXDNKsuVxuxyaDQAcF9VgT3FxsSRp4sSJ0fxjASDuhHZ4Yac4mZhFXjnVA8QugvPJbRf11QDEqKgGexYsWCBJqqmpieYfCwBxx7xZPHK0W939fodmg2ij7ToQP4ZKu7Usa5irkWjM4B7rNYBYEdVgzy233CLLsvT4449H848FgLgzvThbrkGnwC06ciUV89+atutA7DIf7tt6fGrsoCNXMrAsKyRtzzyZCwBOiWqw56Mf/ajOPfdc/e53v9Pq1auj+UcDQFzJSPVoslHgkVSu5OAPBLW/scs2RhoXELsqCjKUkeKxjbFeJ4eGjj519NpP3c4s4WQPgNgQ1WDP448/ru985zuaM2eOrr/+ev3617+O5h8PAHGFOhDJ6VBLt/oDQdsYaQFA7HK7XSGn72i/nhzMzmtZqR5VFGQ4NBsAsItqsOemm27SJZdcou3bt6unp0e33nqrli9frl//+teqra2N5lQAIOaFFmnm4SEZmA8PRdmpKsiiExcQy2Ya6/WeBtbrZDBUJy6Xi05cAGKDN9p/4OCCdZZl6a233tJbb70lSSovL9fixYu1aNEiLV68WIsXL9bkyZOjPUUAiAnmaQ7SApKDeYKLlAAg9rFeJyezc+IM1msAMSSqwZ4dO3bonXfeGfhv8+bNts5cVVVVqq6u1rPPPjswlpeXNxD8+fGPfxzN6QKAo8yH/OrWHnX2+ZWdFvU4PaIopO06xT6BmDfUSUzLsjjlkeD2Gie4WK8BxJKoPjHMmjVLs2bN0g033DAw1tzcbAv+vPPOO9qxY4d8Pp8kqbW1VX/729/0yiuvEOwBkFSmFWfJ7ZKCgzr47qnv0OJJBc5NChFnpgWYtZsAxB4zON/R61d9e5/G56U7NCNEmmVZISe4KKYPIJY4vj08btw4XXzxxbr44osHxnw+n3bs2DEQ/HnvPwBIJukpHk0pyrJ1ZtpT30mwJ4H5A0Htb6ITFxBvyvMzlJnqUXd/YGBsV30HwZ4E1tTZr7Yen22MtFsAscTxYM9QUlJStGDBAi1YsMDpqQCAoypLcmzBHoo0J7YjR3vU77d34iLYA8Q+t9ulmSXZeqeqbWBsT32HLqgsdnBWiCSzCHd6ilvldOICEEOi2o0LADA2Zh2IvY0U/UxkZjBvXFaqxmWnOTQbAGMRWqSZ4Hwi22vUV5tenC2PmxpNAGIHwR4AiGHTjVMdZltuJBbz4WEGp3qAuEFHruRi/j7mFCaAWEOwBwBi2FAdubr7/Q7NBpFmngQwHx4BxC6zE9Pehk5ZljXM1Yh3ZhoXxfQBxBqCPQAQw6YVZ8ns3LuvoWvoixH3QnaKaeMLxA3zYb+zz6+69l6HZoNI4yQmgFhHsAcAYlh6ikeTCjNtY+ZuIhJDIGhpX6OZFsBOMRAvJuSlKyvVYxszAwJIDC1d/Wrq7LeNkcYFINYQ7AGAGDejODQ1AInnSEu3+sxOXJzsAeKGy+WizlqSMH8Pp3rcIRszAOA0gj0AEONmGA/8ewj2JCTz37UgM0XjslIdmg2Ak2Gm8rBeJybzhO204ix5PTxWAYgtrEphdOGFF8rlco3pv7/97W/Dvt/q1at13XXXqaKiQmlpaaqoqNB1112n1atXR+8vBcBxZirPPh4eEpJZnHlmaY5cZsEmADGN9To5hNZXI+UWQOzxOj2BZOZ2uzVz5syQ8WAwqM9+9rN64IEHbOPV1dWqrq7WypUr9ZnPfEb33Xef3G7idUCiM3eKDzZ3qc8fUJrXM8wrEI/MtADqPwDxx/y53d3QIcuyCNwmmJBOXKzXAGIQwZ4w+tWvfqWurpG75Gzfvl0f+chHJEmXXHKJysvLQ6756le/OhDoWbx4sb785S9r+vTp2rdvn/7jP/5DmzZt0v3336/i4mL9v//3/8L/FwEQU8xgT9CSDjZ1a9Z4dhITCW3Xgfhnrtet3T41d/WrKDvNoRkhEkJO9hDsARCDCPaE0dSpU094zcMPPzzw8Sc+8YmQr+/evVs/+tGPJElnnHGG1qxZo4yMDEnS0qVLdc011+iCCy7Qhg0b9MMf/lC33nqrZsyYEaa/AYBYlJ3mVVleumrbjrfw3dPQQbAngQSCFid7gAQwsTBTqV63+gcVW9/b0EmwJ4G0dfvU0NFnG6OYPoBYRA5QFAWDQT3yyCOSpOzsbH3wgx8MueanP/2p/H6/JOmee+4ZCPS8JzMzU/fcc48kye/36yc/+UmEZw0gFoQU/aTDS0KpPtozRCcugnlAvPG4XZpeTJHmRLa30X4K0+t2afK4LIdmAwDDI9gTRX/9619VXV0tSbr++uuVmWlv0WhZllatWiVJmj17tpYvXz7k+yxfvlyzZs2SJK1atUqWZUVw1gBigVn0c28jDw+JxEzhys9MUVE2nbiAeGQG5/caP9+Ib+Zmy9SiLKXQiQtADGJliqLf/OY3Ax8PlcJ14MAB1dTUSJIuuOCCEd/rva9XV1fr4MGD4ZskgJgU+vBAsCeRmDv/M0uyKegKxCkzBZOTPYklZL0mhQtAjKJmT5R0dnbq6aefliRNnjxZF154Ycg127dvH/h49uzZI77f4K/v2LFjVPWCBquqqhrx67W1tWN6PwCRZd5MHmjqkj8QlJfdxISwZ4i26wDikxnsMetxIb6ZwZ4ZJazXAGITwZ4oeeqppwY6dX3sYx8bcsd2cACmoqJixPebOHHiwMdHjhwZ83wGvx5A7Jth1IDoDwR1uKVb04rZUUwEQ53sARCfzJOYDR19auv2KS8zxaEZIZzMtDzWawCxii3hKDlRCpckdXQc/+WRnT3yL46srOOF4Do72TECEl1BVmpIDRdSAxJDcIhOXLRdB+LX5HFZ8rrtm3pmUV/Ep45en2oGdcaUSOMCELs42RMFVVVV+tvf/ibpWHHlysrKIa/r7T3+yyM1deTCnGlpx1t49vT0jHlOJzoNVFtbq2XLlo35fQFEzoySbDV1tgx8vrehU1fMc3BCCIvq1h71+AK2MXaKgfiV6nVrSlGWLYi7t6FTp08udHBWCId9jV22z92uYwWaASAWEeyJgt/+9rcKBo+11L3llluGvS49PX3g4/7+/hHfs6+vb+Bjsz37aJwoTQxA7JlRkq11++3BHsS/PQ32Hf/cdK+Kc9KGuRpAPJhRnG1bo80OTohPZn21KeOylOb1ODQbABgZaVxR8PDDD0s6dhrnIx/5yLDX5eQcP7Z/otSs9+r/SCdO+QKQGELarxPsSQi760NTuOjEBcQ3M7WHtNvEYP7eNeszAUAsIdgTYRs2bBjosnX11VeroKBg2GsHn7Y5UbeswWlYFFsGkkNI+/WGTgWDlkOzQbiYO/7UfwDi31DrNeIfbdcBxBOCPRE2uDDzSClckjR37tyBj3fu3DnitYO/PmfOnJOcHYB4YtZx6fEFVN069ppdiC1mGpd5ggtA/DGDPdWtPerq8zs0G4TL7pBOXKzXAGIXwZ4I8vl8euyxxyRJxcXFev/73z/i9VOnTtWECRMkSa+88sqI165Zs0aSVF5erilTppz6ZAHEvOKcNOWm20ut7W1ktzieDdWJi51iIP5NL86WmY25j/U6rnX3+1V11L7BQhoXgFhGsCeCVq9ercbGRknSzTffLK935HrYLpdLK1askHTs5M66deuGvG7dunUDJ3tWrFhBbQcgSbhcrtDUAIp+xrWath5199s7cdF2HYh/6SkeTSrMtI2RyhXf9jXYO3G5XAR7AMQ2gj0RNDiF6xOf+MSoXnPHHXfI4zlW1f/2228Paave09Oj22+/XZLk9Xp1xx13hGeyAOICRZoTi1n/ISfNqxI6cQEJYUYxRZoTiZlyO6kwU+kpdOICELsI9kTI0aNH9eyzz0qS5s+fryVLlozqdZWVlbrzzjslHSvufM455+jxxx/Xhg0b9Pjjj+ucc87Rhg0bJEl33nmnZs6cGZm/AICYZO4imjefiC/7zM4updmc1gQSxAyzIxcnMeNaSHFmTvUAiHEj5xXhpD3++OPq6+uTNPpTPe/5/ve/r4aGBj344IPatGmTbrzxxpBrPv3pT+t73/teWOYKIH6YDw97GzplWRYBgjhlPvyZJwEAxC/zJCY1e+JbyHpNcWYAMY6TPRHy8MMPS5I8Ho8++tGPjum1brdbDzzwgJ577jmtWLFCEyZMUGpqqiZMmKAVK1bo+eef1/333y+3m38+INmYwYD2Xr8aO/ocmg1OlVlgm+LMQOIwT34cau5Sry8wzNWIdXtDOieyXgOIbZzsiZC1a9ee8ntceeWVuvLKK8MwGwCJojw/QxkpHvUMemDY09Cpktx0B2eFk2FZoZ24KPYJJI7pxs9z0JIONHVpTlmuQzPCyer1BXS4pds2RnAeQKzjaAgAxBG3e4iOXBT9jEuNnX1q6/HZxmYUkxYAJIrsNK8m5NkD8azX8Wl/Y5eCln1sOmm3AGIcwR4AiDMUaU4M5kNfeopb5QUZDs0GQCTMKLUHcOnIFZ/M37Pl+RnKSiNBAkBsI9gDAHGGkz2Jwfx3m1aULY+bQttAIjHrrJl1XxAfzPWaFC4A8YBgDwDEGYI9iYGHByDxmT/XrNfxyezERXFmAPGAYA8AxBnzJrOps19Hu/odmg1OFm3XgcRnrtcHmrrkCwQdmg1OlpnGNZO26wDiAMEeAIgzkwozleqxL99mC2/EPtquA4nPPInpC1g61Nw9zNWIRX3+gA4a/2YzWK8BxAGCPQAQZ7wet6YWZdnGzFMiiG1t3T41dvTZxmi7DiSe/MxUFWWn2cZI5YovB5u6FTBacbFeA4gHBHsAIA6Zu4o8PMSXvY32lACv26XJ47KGuRpAPDNTuSjSHF/MFK7xuenKTU9xaDYAMHoEewAgDpn1XWi/Hl/M4NyUoiylePiVDCQi8xQI7dfjS0hxZlK4AMQJ7iwBIA6ZN5v7eHiIKxRnBpIHHbnim/nvRQoXgHhBsAcA4pDZCaSmrVcdvT6HZoOxojgzkDzM4MDehs6QGjCIXWawh05cAOIFwR4AiENTijLldtnH9jV2OTMZjBk7xUDyMH+++/xBVR/tcWg2GAt/IKj9TQTnAcQngj0AEIfSvB5NMQr6khoQH7r7/aoyHvSmk8YFJKzi7DTlZdgL+lJnLT4caumWL2B04mK9BhAnCPYAQJyaHlL0k4eHeLDfOIHlchHsARKZy+UaoiMXwfl4YNZXK8pOU0FWqkOzAYCxIdgDAHHKfHigSHN8MINyFQUZykj1ODQbANFgpv7QkSs+7DXW6xklWcNcCQCxh2APAMQpHh7iE8U+geRjnt5jvY4PrNcA4hnBHgCIUzOK7Tedh1u61esLODQbjBbFmYHkM7PUvl7va+iUZdGRK9aZQTmKMwOIJwR7ACBOTTeOk1tWaD0YxB7z4YFgD5D4zLTbzj6/6tp7HZoNRiMQtAjOA4hrBHsAIE5lpnpVnp9hG6NIc2zr9wd1qLnbNsbDA5D4yvLSlWXU5jKL/yK2VB/tUZ8/aBtjvQYQTwj2AEAcM4+UU6Q5th1s7lIgaLTx5eEBSHgulyvkZ52OXLFtb6N98yQvI0XF2WkOzQYAxo5gDwDEMTM1gKKfsc18uCvNTVNueopDswEQTTOM4r6s17HNPHk1syRbLpfr/7d353FSVXf+/99Vve8NTTfQi+zNIqgouEQUHUeNGEXUcVxiNC5xdB5mdCY6ccw3OpPNaGbiT2YmmogkJhG3REliSFyCuLIpGhCBZm8aaJpuoPfuqq77+4Ppou+pqt6o6lt16/V8PPrx6Lp169Tp5nK77vue8zkO9QYABo6wBwASmHmnmIuH+GZePDCqB0geoSN7mHYbzyjODCDREfYAQAIz7xTvPNgiX1cgwt5w2tY6lvEFklW4kZisyBW/Qovpc74GkFgIewAggZl3iv0BS7vqWZErXpnTuCYwsgdIGubIkMOtPtW3dDrUG/TGsqyQGniMxASQaAh7ACCBFWSlqSTPXjCSop/xqStgaZsxsmdiMRcPQLIoH5at9FT7R29W5IpP+xvb1dzht20zR2YBQLwj7AGABBdSt4eLh7i051CrOo1lfKkBASSPFK9HE4yA15zaifhg/h3NSU/R6IJMh3oDAIND2AMACc6828jFQ3wyLx4Ks9NUlJPuUG8AOCHkfF1LkeZ4FFKvZ2QeK3EBSDiEPQCQ4CaONJbzZWRPXAotzswyvkCyYQXFxGCulMaUWwCJiLAHABKc+SF0W12zugKs8BJvzFpKFPsEkk/IyB7Cnrhk/rsw5RZAIiLsAYAEZ34I7fAHVHOozaHeIBLzDr5ZuwOA+5nn6wNNHTrS6nOoNwjHsixtqQ0diQkAiYawBwASXFFOugqz02zbqg5QByKehFvGd5Ix/Q6A+40pylGq1z59c2sd5+t4crC5U0fa7AHcpBLO1wASD2EPACQ4j8fD1IA4F24ZX6ZxAcknLcWrsSNybNs4X8cX82ZJZppXZcOyHOoNAAweYQ8AuMBE464jRT/ji3kxl5OeolKW8QWSkhnOU1Q/vpjn6/EjcpXipZg+gMRD2AMALsAKL/HNvHiYwEpcQNIKCXs4X8cVijMDcAvCHgBwAfPiYduBZlkWK3LFC/NijilcQPKawLTbuGaOtKI4M4BERdgDAC5ghgfNHX7tb2x3qDcwsew6gG5msd+aw21qMWp6wTmh4TzFmQEkJsIeAHCB0QWZyklPsW3jbnH8CAl7WHYdSFrji3NkloDZVsf5Oh4cbu3UweYO2zbCeQCJirAHAFzA4/FoorGUN0U/40NDS6caWjpt21h2HUhemWkpqhiebdvG+To+mMF8WopHY4qyI+wNAPGNsAcAXMIcLbKVO8Vxwbx4SE/xqoJlfIGkZtaB4XwdH8wpXONG5CgthcslAImJsxcAuIS5YshW7hTHhaoDTbbH44tzlMrFA5DUzDowjOyJD6HFmRmFCSBx8WkTAFzCHNljhgxwRrhl1wEkN7MOzFbO13HB/LtJvR4AiYywBwBcwhzZc6jVp3qj0CSGHsWZAZjMaVy7G1rV7utyqDfoxsqJANyEsAcAXKJ8WLYyUu2ndbP+AIaeefFghnIAko8ZIgQsacfBFod6A0lqavdp35F22zbO1wASGWEPALhEitej8WaRZsIeR4W7eOBOMYCcjFSVFmTatnG+dta2OnvY5vUcLdAMAImKsAcAXCRkhRcuHhzFxQOASCaONIo0c752VFWtvV7P2KIcZaSmONQbADh+hD0A4CLmqBGKNDvLDNvGcPEA4P+Y9bu2EfY4imL6ANyGsAcAXISRPfHFDNsmUJwZwP8hnI8vIfXVCHsAJDjCHgBwEbOYZG1jhxrbfQ71Buadeop9Auhmng92HGyRvyvgUG9gTqPjfA0g0RH2AICLjCnKUarXY9vG6B7nmBcPLLsOoJt5PvB1WdrV0OpQb5JbW2eXqg/Zf/eTSvIi7A0AiYGwBwBcJC3Fq7FGAeCttYQ9Tmj3danauHDjTjGAbsNy0jUiN922jXDeGdvqmmVZxx57PEy7BZD4CHsAwGXMu8XUgXDGjoMtClj2bVw8AOjJPCcQ9jjD/L2XFWYpK51i+gASG2EPALiMOXqEiwdnmFO4ygqzlJOR6lBvAMQjztfxgeLMANyIsAcAXCZ0hRcuHpzAMr4A+mKOxCTscYY5AnbSSOr1AEh8hD0A4DJm2FNzuE2tnX6HepO8thoXDxRnBmAyQ4WtB5oVMOd/IuZCiukTzgNwAcIeAHCZCcW58vRYkMuypO11Lc51KEmFTAugODMAgxkqtPm6tPdIm0O9SU6d/oB21duL6RP2AHADwh4AcJnMtBRVDMu2bWNqwNDydwW046A9YOPiAYCpJC9DeZn2Wl5MvR1aO+tb1GWMpuJ8DcANCHsAwIXM4pKsyDW0djW0ytdlXDwwjQuAwePxhAQL2wh7hlRVrf33PSo/U/mZaQ71BgCih7AHAFwopEhzLRcPQ8kcSTUiN13DctId6g2AeBYSznO+HlKhxZkJ5gG4A2EPALiQGfZsrePiYSiFrMTFqB4AEXC+dhbFmQG4FWEPALiQucLLrvpWdfoDDvUm+VCcGUB/hYQ9B5plWazINVS21hL2AHAnwh4AcKEJxTm2x10BSzvrWZFrqJjTAqjXAyCSSSX2cP5Im091zR0O9Sa5hCumb/57AECiIuwBABfKy0zT6IJM27YttRRpHgqBgKVtB8yVuLh4ABBeWWGWMtPsH8lZQXFo7G5oVWeXfdSrWUMJABIVYQ8AuFS4qQGIvZrDbWrzddm2VTKNC0AEXq8npK4X5+uhYdbroZg+ADch7AEAlyLscYb5e87PTFVxXoZDvQGQCDhfO4Ni+gDcjLAHAFzKrDvAxcPQCKnXU5Irj8fjUG8AJAKWX3cGxfQBuBlhDwC4lHmneHtdi/xdrMgVayEXD9TrAdAHll93hhnOc74G4CaEPQDgUuad4s6ugKoPtTnUm+Rh1oDgTjGAvphF3OuaOnSk1edQb5JDIGCFCec5XwNwD8IeAHCpYTnpGpFrLzRZxYpcMWVZlrYa0y/MO/YAYBpTlK1Ur32659Y6ztexVHO4Te0++2jXiYTzAFyEsAcAXMwsNmmOOkF01TZ2qKnDb9s2aSTTAgD0Li3Fq3EjcmzbqLMWW+YUrvzMVBXnUkwfgHsQ9gCAi5lTiLZx8RBT5sVDTnqKSgsyHeoNgERijgKkSHNshRZnzqOYPgBXIewBABczi00ysie2QpbxZSUuAP1k1ouhSHNsmWEa9XoAuA1hDwC4WMgKLweaFQhYDvXG/cwwjXo9APprAiN7hhTnawBuR9gDAC5m3qls83Vp7xFW5IoVszgzy/gC6C8zbKg53KbWTn+EvXE8LCt0JS7CHgBuQ9gDAC5WnJeh/MxU2zamcsWGZVnaYtTsYVoAgP6aUJwrc9bntgMtznTG5WobO9RMMX0ALkfYAwAu5vF4QqdyMTUgJupbOnW41WfbZhbIBoBIMtNSVDEs27aN5ddjg2L6AJIBYQ8AuJw5lYjlfGPDrK+RkepVuXHhBgC9MUcDUrcnNszf60SK6QNwIcIeAHA5c3SJeUcT0WGunDO+OFcpXi4eAPRfuKL6iL7Q4sxM4QLgPoQ9AOByISu8HGiWZbEiV7RtraVeD4DjQ9gzNLYaNz0ozgzAjQh7AMDlzNChqd2vuqYOh3rjXuadYsIeAANlhg67GlrV6Q841Bt3siyL8zWApEDYAwAuV1qQpez0FNs2VuSKvpCLB4ozAxggM+zpCljaWc+KXNFEMX0AyYKwBwBczuv1aEKxWfSTuj3RdLi1M2S0FDUgAAxUXmaaRuXbV4WiSHN0UUwfQLIg7AGAJGAOUTeLCeP4mHU1Ur0ejSni4gHAwJmjTKjbE11mvR6K6QNwK8IeAEgCE80VubhTHFXmxdi4ETlKS+FPLICBCxmJyQqKUWWer6nXA8Ct+CQKAElgYjF3imOJej0AooUVuWKL4swAkgVhDwAkgUkj7fVj6ls61dDS6VBv3Me8eKBeD4DBMsOH7Qdb1BWwHOqN+xDOA0gWhD0AkAQqhmUpPdV+yuducfRsNQpec6cYwGCZI3s6/QFVN7Q61Bt3oZg+gGRC2AMASSA1xavxI3Js26gDER3NHX7tPdJu28adYgCDVZSboeE56bZt5mgUDA7F9AEkE8IeAEgS1IGIjW3G79HrOVqgGQAGizprsUExfQDJhLMbACQJwp7YMO+4jynKUUZqikO9AeAG5gqKnK+jg3o9AJIJYU+M7d69Ww899JBmzZql4uJiZWZmqqKiQuecc46+/e1va8OGDb2+ftmyZVqwYIHKy8uVkZGh8vJyLViwQMuWLRuinwCAW0wy6hKw/Hp0mNPhzFANAAYqdGQP026jgWL6AJJJqtMdcLOFCxfqgQceUEtLi237nj17tGfPHr333ntqbGzU448/HvLaQCCgr33ta1q0aJFte01NjWpqavTqq6/qtttu01NPPSWvl8wOQN/MO5j7G9vV1O5TXmaaQz1yh621LOMLILrM8/XWA82yLEsej8ehHrmDWUyfcB6AmxH2xMh3v/td/b//9/8kSZWVlbr99ts1e/ZsFRQUqL6+XuvWrdMrr7wSMah58MEHg0HPzJkzdf/992vChAnatm2bHn30Ua1bt05PP/20iouL9f3vf3/Ifi4AiWtsUY5SvB7bEr5bDzRr5gnDHOxV4mNaAIBoM0OIls4u7TvSrtLCLId6lPjCFtMn7AHgYoQ9MfDWW28Fg56vfOUrevrpp5WWZr9zfsEFF+gb3/iGOjs7Q16/ZcsW/ehHP5IkzZo1S++8846yso7+cZ89e7Yuv/xyzZ07V2vXrtVjjz2mW265RRMnTozxTwUg0aWnejWmKFvb646NNqwi7Dku7b4uVR+yL4lsTpcDgIEalZ+p3IxUNXf4g9u2Hmgm7DkOFNMHkGyY/xNlgUBAd955pyTp5JNP1qJFi0KCnp7S09NDtj3++OPy+4/+cV+4cGEw6OmWnZ2thQsXSpL8fr9+/OMfR6v7AFzOvItpfvjFwGyra5Zl2beNL+biAcDx8Xg8mmCcr1l+/fiEK6afmUYxfQDuRdgTZa+//rqqqqokSf/6r/+q1NSBDZ6yLEtLly6VJE2ZMkVnnnlm2P3OPPNMTZ48WZK0dOlSWebVBgCEYU4N4OLh+Jgr5JQPy1J2OoNmARw/M5xnRa7jQzF9AMmGsCfKXnrpJUlH78h86UtfCm5vaGhQVVWVGhoaen39jh07tHfvXknS3Llze923+/mamhrt3LnzOHoNIFmErMjFCi/HxVzRjPoPAKLFDCNYkev4mMX0CXsAuB1hT5StXLlSkjR27Fjl5eXpueee04wZM1RUVKTKykoVFRVp8uTJ+tGPfqSOjo6Q12/cuDH4/ZQpU3p9r57Pf/7551H6CQC4mfnhds+hNrV1djnUm8RnhmWTRlKvB0B0mMuvV/3filwYnK11hPMAkgtjzaMoEAho06ZNkqQRI0bon/7pn/TEE0+E7Ldlyxbdd999euWVV/Taa6+psLAw+NyePXuC35eXl/f6fhUVFcHvq6urB9TXnu8Tzr59+wbUHoDEMKE4Vx6PgnVmLOto3ZnpZQXOdixBmdPguFMMIFrMlf0Ot/pU39KpEbkZDvUocbX7urS7gWL6AJILI3ui6MiRIwoEApKk9evX64knntDo0aP1q1/9Sg0NDWptbdWKFSuCdXg++OAD3XLLLbY2mpqO3SXOze39oiEn51gR0Obmgc3jrqio6PXr9NNPH1B7ABJDVnqKyofZi75TB2JwOv0B7ao3Lx4IewBER/mwbGWk2j+qm1NH0T/hiulPKKGYPgB3I+yJopaWY8sZt7e3Kzs7W8uXL9cNN9ygYcOGKSsrS+eee67+8pe/6OSTT5YkvfLKK1q1apXtdd3CrdTVU0bGsTs7bW1t0foxALiceTeTsGdwdta3qCtgv3owV88BgMFK8Xo0oZi6PdFg/p0rK6SYPgD3I+yJoszMTNvj2267LbhiVk9ZWVn63ve+F3z8wgsvhG2js7Oz1/frWfPHXJ69L9XV1b1+rV69ekDtAUgcoStycfEwGOYd9lH5mcrPTHOoNwDcyJzKtYWRPYNihj3m7xUA3IhIO4ry8ux3yy+66KKI+15wwQVKTU2V3+/XmjVrwrbR19SsniOJ+pryZeqrHhAA92L59egILc7MxQOA6Ko0ir5vqSWcHwxWTgSQjBjZE0UZGRkqLi4OPu5ZQNmUmZmpESNGSJLq6uqC23uGMH0VUe5ZlLm39wKAnswPubvqW9XpDzjUm8RFcWYAsWaer5l2Ozgh4TzFmQEkAcKeKDvxxBOD33d19b6ccffzqanHBlhNmzYt+H33yl6R9Hx+6tSpA+ongORl1pXpCljaWd8SYW9EsjXkTjEXDwCia5Ixsqe+pVP1zR0R9kY4nf6AdhrF9CcyEhNAEiDsibJzzz03+P327dsj7tfY2KiDBw9KksrKyoLbx40bp9LSUknSihUren2vd955J/j6sWPHDrbLAJJMfmaaRuXba4yxwsvA+LsC2nHQHpAxjQtAtJ0wPHRFLur2DEy4YvqMxASQDAh7ouyqq64Kfv/KK69E3O+VV16R9X9rQJ5zzjnB7R6PR/Pnz5d0dOTOypUrw75+5cqVwZE98+fPl8fjOe6+A0geZjDB1ICB2d3Qqs4u+9S3icVcPACILlbkOn7m37eR+RkU0weQFAh7ouykk07SJZdcIklasmSJ3nrrrZB99u/fr29961uSji6v/tWvftX2/D333KOUlBRJ0t133x2yrHpbW5vuvvtuSUengN1zzz3R/jEAuJx58cCKXANj1usZkZuuYTnpDvUGgJuxItfxCS3OzJRbAMmBsCcGHn/8cRUWFioQCOhLX/qSHnjgAb377rtau3at/vd//1ezZ88OFl/+zne+Y5vGJUmVlZW67777JElr167V2WefrRdeeEFr167VCy+8oLPPPltr166VJN13332aNGnS0P6AABIeI3uOj/n7YkoAgFhhRa7jY97M4HwNIFmw9HoMVFZW6ve//72uvvpq1dbW6pFHHtEjjzxi28fj8ejBBx/U/fffH7aN733vezpw4ICeeeYZrVu3Ttdee23IPrfeequ++93vxuRnAOBu5p3N7XUt8ncFlJrCPYD+qKplZRcAQ4MVuY4P4TyAZMWn+hiZM2eOPvvsMz300EM6+eSTlZ+fr8zMTI0bN05f/epX9dFHH+k73/lOxNd7vV4tWrRIr732mubPn6/S0lKlp6ertLRU8+fP1x//+Ec9/fTT8nr5JwQwcJXGyJ7OrtDVShCZOY2L4swAYoUVuQbP3xXQdrOYPmEPgCTByJ4YKioq0sMPP6yHH3540G3MmzdP8+bNi16nAEBSYXa6ivMyVNd07IKhqraJO579EAhY2lZn3CmmODOAGOlekavDf6wo/JbaZp2Vm+FgrxJD9aE2dfrtxfTN8AwA3IphIQCQpMzRPRT97J+aw21q9xkrcTGyB0CMsCLX4JlTboty0jWcYvoAkgRhDwAkKbPOzBYuHvrFLPZZkJWmYu6wA4ghVuQaHHPKLaNXASQTwh4ASFLmCi/mHVCEF7qMb648Ho9DvQGQDFiRa3AozgwgmRH2AECSMqdxba9rCaltgFAUZwYw1MyQghW5+sf8PVGcGUAyIewBgCRlFqn0ByztrG+JsDe6hU4LoNgngNgyR/awIlffAgErNOyhODOAJELYAwBJqiArTSPz7bVmmBrQO8uytI1pAQCG2AnDs5Weav/YTt2e3tUcblObr8u2jZE9AJIJYQ8AJLHQOhBcPPRm75F2NXf4bdu4eAAQa6zINXDmqJ68zFQV51FMH0DyIOwBgCRGkeaB2bLf/vvJy0jV6IJMh3oDIJmYddYI53sXrl4PxfQBJBPCHgBIYqEXD4Q9vTF/P5Wj8rh4ADAkWJFrYKqMkU+TqK8GIMkQ9gBAEjOLVe6sb1WHvyvC3thshj0U+wQwRFiRa2BYORFAsiPsAYAkZtab6QpY2nGQFbkiCRnZw8UDgCHCilz9Z1mWttZSTB9AciPsAYAklpeZplKj5gx1IMLrCrOM72RG9gAYIqzI1X+1jR1qMorpE/YASDaEPQCQ5MypXBRpDq+6oVXtvoBtW+Uowh4AQ4MVufrPDOaz01NUWpDlUG8AwBmEPQCQ5CjS3D9mvZ7hOekakcsyvgCGDity9Y9ZnHliSa68XorpA0guhD0AkORCR/Zw8RCOOeKJej0AhhorcvWPWZyZKVwAkhFhDwAkOfPiYWd9i9p9rMhl2myEYKzEBWCosSJX/1CcGQAIewAg6ZkrcgUsaVsdFxCmLftZdh2As1iRq3+2Gn/DJpVwvgaQfAh7ACDJ5WSkqqzQXriSqVx2vq6Ath80VuKiODOAIcaKXH2rb+5QQ0unbZt5UwMAkgFhDwCAIs192HmwRb4uy7atkjvFAIYYK3L1zazXk57qVcXwbId6AwDOIewBAIQsIc6dYjvz9zEyP0MF2WkO9QZAMmNFrt6ZYc+E4lylsBIXgCRE2AMACBmlYi5bm+zMZdep1wPAKeaUJPP8lOy21oYuuw4AyYiwBwAQEl7sbmhVWycrcnWjODOAeDF5VL7t8ZbaJlmWFWHv5BNanJmwB0ByIuwBAGhiSa48PUa5W6zIZbPFGOk0mbAHgEPM88/hVp8ONLEiVzdzWhsjewAkK8IeAICy0lNUMcxewJIizUe1+7q082CLbdukkVw8AHBG+bAsZaen2LZt3s/5WpIaWjpVZwRfjMQEkKwIewAAkij6Gcm2umYFjBkSk7h4AOAQr9cTcg4i7Dlq0/5G2+P0VK/GFrESF4DkRNgDAJAUGmBUMbJHklRlhF7lw7KUm5HqUG8AQJpihj2cryWFhl6TSnKVmsLlDoDkxNkPACApdGQPFw9HsRIXgHhTOYqRPeGY048nj+J8DSB5EfYAACRJk4zl1/ccalNzh9+h3sQPVuICEG+mGCFG1YEmdZnzTZPQpv0U0weAboQ9AABJR1csSfF6bNso0hxmJa5RFGcG4CwzdG73BbS7odWh3sSHQMAKCecZ2QMgmRH2AAAkSZlpKSGFLJN9akBLh1/VDW22beYIKAAYasV5GSrKSbdtS/bzdc3hNrV0dtm2TRmV71BvAMB5hD0AgCDzg3GyXzxsPWAvzuz1HB0BBQBOM0f3JPv52vz5C7LSNDI/w6HeAIDzCHsAAEHmkHdzGdtkYxZnHlOUo8y0FId6AwDHmOfrZJ92a56vJ4/Kk8fjibA3ALgfYQ8AIMi8eNi8v0mWlbxFP0OLMzOqB0B8IJy3ozgzANgR9gAAgswVXg61+lTX1OFQb5y3xZjGxcUDgHhhhj0761vV7uuKsLf7bTbCLoozA0h2hD0AgKCKYdnKTrdPUzLvliYTc2TPJMIeAHHCrNnTFbC0ra45wt7u1ukPaHtdi22befMCAJINYQ8AIMjr9YQEGsla9PNIm0/7G9tt27hTDCBe5GakqnxYlm1bstbt2X6wWf6AfcpxJedrAEmOsAcAYDNlpFkHIjkvHsyLplSvR2OLchzqDQCEMkevJOv52rwpUVaYpfzMNId6AwDxgbAHAGATUqS5NjmLfm7aZ/+5J5bkKj2VP5sA4oc5lcuceposzJCLYvoAQNgDADCYd4qrapvVFUi+Fbk+Ny4eqP8AIN6EW0ExGZkh1+RR+Q71BADiB2EPAMDGvHjo8Ae0s74lwt7uZY7smTKaiwcA8cU8X+890q7Gdp9DvXGOObKHcB4ACHsAAIai3AyNyM2wbdu0L7nuFgcCVsgdci4eAMSb8SNyler12LYl21Supnafag632bZRTB8ACHsAAGGYwcbm/clVt2fPoTa1dHbZtk1lZA+AOJOe6tX4Ynvh+M1JtiJXuGL6E4qp2QMAhD0AgBDmXdFkW+HlcyPcGpadppK8jAh7A4BzzPo0yVa3Z/P+ZtvjcSNyKKYPACLsAQCEETKyJ8nuFJvT1qaMypfH44mwNwA4Z7Kx8lTyhT32cJ4pXABwFGEPACDEFONO8e6GVrV2+h3qzdD7PKQ4MxcPAOJTyMie2iZZVvKsoEhxZgAIj7AHABBi0shc9az5aVnSltrmyC9wmU3GneKpLOMLIE5NHmkPNw63+lTb2OFQb4aWZVkhI09Zdh0AjiLsAQCEyExL0dgio+hnkhRpbunwa1dDq20bxZkBxKvyYVnKzUi1bTNHJ7pVXVOHDrfal5pnZA8AHEXYAwAIK1mLNG+pbVLPGRBez9GRTgAQj7xeT0jAsTFJwh7z71J2eorKCrMc6g0AxBfCHgBAWGbYkyxFP82Lh3EjcpSZluJQbwCgb+bow2QZ2WP+XaocmSevl2L6ACAR9gAAIghZkStZwp6Q4sxM4QIQ35I17DF/zqkU0weAIMIeAEBYZpHL+pZOHWhqd6g3Q+dzI9SaSv0HAHHODDl2HGxRu6/Lod4MHXO6GvXVAOAYwh4AQFgnDM9WljF96fN97h7dY1lW6MgeVnYBEOcmj8qTp8fspYDl/tGYHf4ubT1gXyVyGmEPAAQR9gAAwkrxejTFuFvs9qkB+460q7Hdb9tm/g4AIN5kp6dqnLGCotvP11W1zfIHLNs2pt0CwDGEPQCAiMwh8Rv3uvviYZOxvHxeRioruwBICMlWt8ecwjWmKDtkCXoASGaEPQCAiMwh8W5fztecpjZldJ48HlZ2ARD/zLo9bp92G1KcmSm3AGBD2AMAiGhaqf3D8/a6ZlcX/TSXXadeD4BEETKyZ3+jLMuKsHfiM0eamn+vACDZEfYAACKakmRFP0OXXadeD4DEYIY9Te1+7TnU5lBvYsuyrDDLrhP2AEBPhD0AgIjCFf1061Sudl+Xth9ssW1jZA+ARDG6IFMFWWm2bW6t21NzuC2kmD4jewDAjrAHANCrqaXJUfRz64FmdRkru0wexcgeAInB4/EkTd0e8+fKz0xVaUGmQ70BgPhE2AMA6FVIkWaXrshljliqGJ7Fyi4AEkqyrMgVrl4PxfQBwI6wBwDQKzPs+XxfowIB9xX9NC8eThxd4FBPAGBwwhVpdiPq9QBA3wh7AAC9MusgtHR2qfpQq0O9iZ3P9h6xPT6R+g8AEoy5/Piu+lY1d/gj7J24zJGY5k0JAABhDwCgDyV5GSrKSbdtc9tUrkDACh3ZU8bFA4DEMmlkrlK89ulMm102uqep3afdDfYbDozsAYBQhD0AgF55PJ6Q0T1uW5FrZ32LWjq7bNtOLGUaF4DEkpmWovEjzBUU3VWkedN++8+T6vVo0shch3oDAPGLsAcA0Ce3F/38zBjVMyI3XSV5GQ71BgAGz+3na/PnmViSq4zUFId6AwDxi7AHANAnt6/IZYY9J5YWsLILgIRk1hszz2+Jzvz7wxQuAAiPsAcA0CdzGtfeI+063NrpUG+ij+LMANxiepl9Curn+xrl6wo41JvoozgzAPQPYQ8AoE/jR+QoPdX+J8MtdXssK0xxZur1AEhQZljd6Q9oW12zQ72JLn9XQJuNmj2M7AGA8Ah7AAB9Sk3xavLIPNs2t0zlqm3sUH2LfZQSI3sAJKrC7HSVFWbZtm2occf5esfBFnX47aOUpo7Oi7A3ACQ3wh4AQL+4tW6POYUrNyNVJwzPdqg3AHD8ppfZz9cbao5E2DOxbDDO1yPzM1SUSzF9AAiHsAcA0C8nGhcP611y8WAWL502Ol9eL8WZASSu6cZUVDPUTlTmCKUZZUy5BYBICHsAAP1i1rHZVtes1k6/Q72JHvOOtxlqAUCiMYs0f7a3UYGA5VBvose8yWD+nACAYwh7AAD9Mm10vnoOeAlYR1d5SXThll0HgERmhtatnV3aUd/iUG+iIxAILaZvjmACABxD2AMA6Jes9BRNKrEXwly/J7GnBhxu7VTN4TbbNoozA0h0JXmZKsmz17JJ9Lo9O+pb1NxhH006o5ywBwAiIewBAPSbOWR+fYKv8GLeJU5P9WpiSa5DvQGA6Ak3lSuRmWFVcV6GRuZnOtQbAIh/hD0AgH6b4bIVXsyLn8kj85SWwp9GAIlveqm7ztfmSFKKMwNA7/hECwDoN3PIfNWBJrV1djnUm+NnrlDDFC4AbnGiEYZsqDkiy0rcIs0UZwaAgSHsAQD027TRBSFFmjcmcJHmDWZxZi4eALiEGYY0tvu151BbhL3jWyBghYzEZGQPAPSOsAcA0G9Z6SkhNW0SdWpAc4df2+qabdvMaQ8AkKhKCzI1LDvNti1Rz9e7GlpDizMT9gBArwh7AAADElqkOTEvHtbvOaKeMxpSvR5NHU3YA8AdPB5PyPl6w94EPV8bf2dG5GZoZH5GhL0BABJhDwBggMy7qYl6p3h9zWHb4ymj85SZluJMZwAgBk4sdccKiubfmRll+fJ4PBH2BgBIhD0AgAEy7xRXHWhWuy/xijR/aqzsclJ5oTMdAYAYmW6soLh+z+GELNLMSlwAMHCEPQCAAZk2Ol89b6h2BayELNL81z2HbY9PLufiAYC7nGyE2IdafapuSKwizZZlhUw/YyUuAOgbYQ8AYEByMlI1oTixizQ3tHSGXPDMKCt0pjMAECPlw7I0PCfdtu0TI+iOd7vqW9XUbhRnJpwHgD4R9gAABswcQm8OsY935qiezDSvKkfmht8ZABKUx+MJGbX41+rDznRmkEKLM6drVH6mQ70BgMRB2AMAGDAz7Pk0we4U/9UIp04sLVBqCn8SAbiPWY8s0c7XZtgzvayA4swA0A98sgUADNjJFYW2x1UHmtXU7nOmM4Ngjuw5iSkBAFzqFON8vb7miPxdAWc6Mwif7D5se0wxfQDoH8IeAMCAnViar1TvsTurlpU4U7ksywpZicssYgoAbmGG2e2+gKoONDvUm4HxdwX015rDtm0zjfAKABAeYQ8AYMAy01I0dbR9Sd9EKfq5v7FddU0dtm2M7AHgVkW5GSoflmXb9mmC1O3ZtL9J7T77KCRzZCkAIDzCHgDAoJhTA8yh9vHq02r7qJ68zFSNLcpxqDcAEHtmQJIodXs+MUKpMUXZIauLAQDCI+yJMo/H06+v8847r8+2li1bpgULFqi8vFwZGRkqLy/XggULtGzZstj/IADQh5Cwp/qwLMtypjMDEK5ej9dLsU8A7mWuyGWG3vHKDHuYwgUA/ZfqdAcQKhAI6Gtf+5oWLVpk215TU6Oamhq9+uqruu222/TUU0/J6yWvA+CMU04otD0+0NShfUfaVVqYFf4FccJciYtinwDczqxLtrm2SW2dXcpKT3GmQ/1khj3mTQYAQGSEPTFy55136q677or4fE5O5CkDDz74YDDomTlzpu6//35NmDBB27Zt06OPPqp169bp6aefVnFxsb7//e9Hve8A0B/jinKUn5mqxnZ/cNsn1YfjOuwJBKyQkT3mHW8AcJvpZQXyeqTA/w2+7ApY+mzvEc0aO9zZjvWisd2nbXX2QtKnnDDMod4AQOIh7ImRkpISTZ8+fcCv27Jli370ox9JkmbNmqV33nlHWVlHL5xmz56tyy+/XHPnztXatWv12GOP6ZZbbtHEiROj2ncA6A+v16OTKwr1btXB4LZPqg9r3ozRDvaqd9vqmm3hlCSdUsHFAwB3y8lI1aSSPG2ubQpu+6T6cFyHPX+tPqKeM4PTU7yaOjrPuQ4BQIJhDlCcefzxx+X3H70QWbhwYTDo6Zadna2FCxdKkvx+v3784x8PeR8BoJtZPyHeizR/tOuQ7XFZYZZGFWQ61BsAGDonV9hHMZpTpOLNJ9X28/W00nxlpMb3tDMAiCeEPXHEsiwtXbpUkjRlyhSdeeaZYfc788wzNXnyZEnS0qVLE6IgKgB3Muv2rK85In9XIPzOccAMe2Ya/QcAtzrVmAJlng/jzTrj5gH1egBgYAh74siOHTu0d+9eSdLcuXN73bf7+ZqaGu3cuTPWXQOAsMyin22+Lm2pbQ6/cxz4eLf94ua0MUzhApAczPPdviPt2nu4zaHe9M6yrNCVuAjnAWBACHti5KWXXtK0adOUnZ2tvLw8TZo0STfddJOWL18e8TUbN24Mfj9lypRe2+/5/Oeffz7g/u3Zs6fXr3379g24TQDJpyg3QxXD7dNN11XH593iQy2d2lbXYttm3ukGALeaUJyr/Ex7uc54Hd2z51Cb6ls6bdtmUl8NAAaEAs0x0jO4kaStW7dq69atevbZZ3XFFVfo5z//uQoK7HOn9+zZE/y+vLy81/YrKiqC31dXVw+4fz1fDwDH49QThqm64djd4Y92HtINZ4xxsEfhmSFUZppX00rzHeoNAAwtr9ejU8cM09ub64LbPtp1SJedXOpgr8JbZ4zqGZ6THnJjAQDQO0b2RFl2drauvfZa/exnP9O7776rdevW6fXXX9eDDz6ooqIiSdKrr76q+fPny+fz2V7b1HRshYTc3Nxe36fn0u3NzfE7ZQKA+80ypgas2dXgUE969/Guw7bHJ5UVKi2FP4MAkod5vjantsaLtTvtf0dOqSiUx+NxqDcAkJgY2RNlNTU1KiwsDNl+4YUX6u6779Yll1yidevWacWKFfrJT36ir3/968F92tvbg9+np6f3+j4ZGRnB79vaBj7fuq/RQPv27dPpp58+4HYBJB9z6d7qhjbVNrZrZH58rXJlTlc4lXo9AJKMed77bG+jWjv9yk6Pr0uCNTvt5+vZcbxEPADEK25pRlm4oKfbyJEj9fLLLystLU2Sgkuod8vMPHZh1Nlpn6ds6ujoCH5vLs/eH+Xl5b1+jR49esBtAkhOlSPzlJdhv1BYuzO+7hb7uwIhxT5PpdgngCRzcnmhUrzHRsh0BSz9dc8RB3sU6kibT5v2N9q2zR5LOA8AA0XYM8TGjx+vCy+8UNLROj7dq29JUl5eXvD7vqZmtbQcKzLa15QvAIillP+rA9HT2jibyrVpf5PafF22bYzsAZBscjJSNXV0nm1bvBVp/nj3IVnWscfpqV7NKC+I/AIAQFiEPQ6YNm1a8Puamprg9z2LMvcs1hxOz2lYFFsG4DSzDkS8jewx61KMLcrWiNyMCHsDgHudZqxC+HGchT0h9XrKC5WRmuJQbwAgcRH2OCBSgbmeIdCmTZt6baPn81OnTo1OxwBgkMy6PRv3Naqlw+9Qb0KZ9R9Ych1AsjJHNX60+5ACASvC3kNvzQ77+XoWU7gAYFAIexzQc1n20tJjy12OGzcu+HjFihW9tvHOO+9IksrKyjR27NjodxIABuCUikKlGnUgzBo5TrEsS6u219u2ncbFA4AkZYbzh1t92loXHyu7dvi79Mmew7ZtFGcGgMEh7BliO3bs0BtvvCFJmjBhgsrKyoLPeTwezZ8/X9LRkTsrV64M28bKlSuDI3vmz5/PUpQAHJeVnqITS/Nt29bsjI+6PTvrW3WgqcO27czxRQ71BgCcVVqQqbJC++IeZiDulA01R9TpDwQfezzUVwOAwSLsiaLf//738vsjT1uora3VVVddFVxp66677grZ55577lFKytF5yXfffXfIsuptbW26++67JUmpqam65557otR7ADg+5t3ieKnbY17EjMjN0PgROQ71BgCc5fF4dMY4+/l65fb4COdXG1O4Jo/MU0FWmkO9AYDERtgTRXfffbfGjBmjr3/961qyZIk+/PBDffLJJ3rzzTf1rW99S9OnT9e6deskSXPmzNE//uM/hrRRWVmp++67T5K0du1anX322XrhhRe0du1avfDCCzr77LO1du1aSdJ9992nSZMmDd0PCAC9MJfG/WjXIdsdWqes2mG/iDlj/HBGRAJIauboxlU76mVZztftMYszM4ULAAYv1ekOuM3evXu1cOFCLVy4MOI+V111lZ5++mllZIRfCeZ73/ueDhw4oGeeeUbr1q3TtddeG7LPrbfequ9+97tR6zcAHK/Tx9kvHtp8XfrrnsMhI36GkmVZWmmM7GEKF4Bkd8Z4+3n5YHOnttU1a2JJXoRXxF4gYGmtsTLY7HGEPQAwWIQ9UfSLX/xCK1as0Icffqjt27fr4MGDamxsVG5urioqKvSFL3xBN910k84666xe2/F6vVq0aJGuuuoq/fSnP9WaNWt08OBBjRgxQrNnz9Ydd9yhSy65ZIh+KgDon+E56ZoyKk+b9jcFt32wrd7RsKe6oU37jrTbtp3JxQOAJHfC8GyNLsi0nR9Xbm9wNOzZuK9RR9p8tm3miFEAQP8R9kTR3LlzNXfu3Ki1N2/ePM2bNy9q7QFArJ01ocgW9ny4rV5fv8C56aYrd9hH9RTlpGtiSa5DvQGA+NBdt+fVT/YGt63cXq8vnznGsT69v/Wg7fG4ETkaXZAVYW8AQF+o2QMAiJqzjClSH+0+pHZfl0O9kVZtp14PAIQTWrenwdG6Pe9vs4fzX5jAlFsAOB6EPQCAqDljXJF6Zimd/oA+3u3cqlxmvZ4zxnHxAACSdIYR9tQ1dWj7wRZH+tLpD2iNUUz/CxNGONIXAHALwh4AQNQUZKdpemmBbdtK427tUNld36qaw222bWZRUgBIVmOLsjUy375YyAfGVKqh8kn1YbUZo0DPYmQPABwXwh4AQFSZH9A/3O5M2PNOVZ3t8YjcdFU6WHwUAOKJx+MJGT3zbpUzYY9Zr2fa6HwNz0l3pC8A4BaEPQCAqDLr9qzbfVgtHf4h78e7RtgzZ+IIeb3U6wGAbudMsoc9H26rl68rMOT9+GCbPew5eyKjegDgeBH2AACiava44UrtEar4A1ZI7ZxY83UF9MFW+3ueM6l4SPsAAPFuzkR72NPU4den1YeHtA+tnX6t221/zy9MpF4PABwvwh4AQFTlZqTq1DHDbNtWbKmLsHdsfFp9WE3GaCLzDjYAJLuS/ExNGWWf3vrOEE/lWrWjQf7AsVXAUr0enT6W+moAcLwIewAAUXfeZPsomrc31w3pkr7mxcqUUXkqyc8csvcHgERxbqX9fG1OgY21FZvt73dKRaFyMlKHtA8A4EaEPQCAqJtrXDzsbmjVzvrWIXt/82LFvJgBABxljnr8tPqwjrT6huS9LcvSXzYdsG07f0rJkLw3ALgdYQ8AIOqmjc5XcZ59Sd8Vmw9E2Du6jrT6QmpOnEu9HgAIa/bY4cpIPXZJELCk94ZoCfbtB1u0u8F+I8AcGQoAGBzCHgBA1Hk8npDRPW8PUd2ed6rq1KP8gzJSvZo1dljkFwBAEstMS9EZxiqKb22qHZL3Xm6M6hmZn6Fpo/OH5L0BwO0IewAAMWHenf1wW73afV0xf983NtovUs4cX6TMtJSYvy8AJKq/Mc7XyzcdUFcg9nXWlhsjPs+fXCKPxxNhbwDAQBD2AABiYs7EEeqxArs6/AG9F+NVXnxdgZCLhwunjYzpewJAortgqv08eajVp493H4rpezZ3+LV6R4NtG/V6ACB6CHsAADFRmJ2uWWPsy+f++bP9MX3PVdsb1NRuX3KdsAcAelcxPDtkCfY3N8Z2Ktd7VXXydR0bPZSW4tHZE0f08goAwEAQ9gAAYubi6aNsj9/8vFb+rkDM3u+NjfYw6eTyAo1kyXUA6JMZjL/xeWzDnj9tsJ+vTx83XLksuQ4AUUPYAwCImYumhU4NWLMzNlMDLMsKqdfDqB4A6J+/NaZyba9r0ba65pi8V4e/S29+bp9y+8UTR0XYGwAwGIQ9AICYqRierRNL7SurxGoq14aaRu090m7bduE0Lh4AoD9mlBWoOC/Dtm3Z+n0xea/3qg6quePYlFuPR7qYsAcAooqwBwAQU+YH+Nc/2y/Liv4qL7//617b4xOGZ6tyZG7U3wcA3Mjr9YSMrvn9p7EJe/643h76zx4zXCVMuQWAqCLsAQDElBn27D3Sro92RXcqVyBg6fef2sOeS08azRK+ADAAl51canu8ubZJW2qbovoenf5ASH21S2YwqgcAoo2wBwAQU5UjczWxxD7C5pV1NVF9jzU7G7TPmMI1/5TSCHsDAMKZNWaYRhkjbP5gBOnH692qOjUaqyZ+cTphDwBEG2EPACCmPB6PFswss237w1/3qdMfvVW5fmdcjEwemacpo/Ij7A0ACMfr9ehLJ422bfvdp3ujOvX25Y/22B6fekKhRhdkRa19AMBRhD0AgJi73JgacKTNp7c3H4iw98D4ugL6o1FE9HJG9QDAoJhTuXbWt+rj3Yej0vahlk69aSzpfuWp5VFpGwBgR9gDAIi5iuHZmj12mG3bbz7eE2HvgXljY60Otfps28xwCQDQPyeVF2hsUbZt2/Ord0el7d99ule+rmOjhNJTvbrsJM7XABALhD0AgCFxhTGV683PD6i2sT3C3v3361W7bI9njx2miuHZEfYGAPTG4/HomtkVtm1/+Os+NbX7Iryi/8wpXBdNG6mC7LTjbhcAEIqwBwAwJC47uVRZaSnBx10BS0uO827xjoMten9rvW3b9WeccFxtAkCyu/q0cqV4j61m2ObrCqmNNlCfVh/W+pojIe8DAIgNwh4AwJDIz0zTFTPtw/WfX10tf9fgCzWbYVFhdpoumT46wt4AgP4oycvUBVNKbNue/WDXcRVqXvz+DtvjUfmZOmdS8aDbAwD0jrAHADBkbjhjjO3x/sZ2/emz/YNqq6ndF1JH4upTy5XZY/QQAGBwrjvdPkpyc22T3qk6OKi2ahvb9Ye/2gvp33jWGNvoIQBAdBH2AACGzPSyAs08odC27X+WbxvU3eLnVu1WY7vfto0pXAAQHXMrizWhOMe27el3tw+qrWc/3Cl/4Nh5PiPVq+tP53wNALFE2AMAGFK3zRlve/z5vka9vbluQG20+7r09Hv2KQEXnzhS44tzj7t/AADJ6/Xo9nPs5+t3qw7q0+rDA2qnoaVTP39/p23blaeWa1hO+nH2EADQG8IeAMCQ+uL0URpv3C3+rze2KBDo/+ieX63cpbqmDtu2u86bGJX+AQCOumJmmUbk2kOZR/+8aUBtPLVim1o6u4KPPR7p1jljo9E9AEAvCHsAAEMqxevRnXMn2LatrzmiV9bV9Ov1DS2d+v/eqrJtmzNxhE6uKIxWFwEAkjLTUvS1c+2je97fWq93tvRvNObew236xYc7bduuOKVME0vyotVFAEAEhD0AgCF3xcyykFoQj/55kxrbfX2+9rE/b1aTUavnny+qjGr/AABHfeWssRpdkGnb9u2lG9Tu64rwiqMsy9K3l36mdt+xFRdTvB7d87eTYtJPAIAdYQ8AYMilpXj14KVTbdtqGzv077/b2Ovrlm8+ELLc+uUnl+rUE4ZFvY8AgKOje8yAZmd9q/7rjS29vu73f92nNz+vtW27dnaFxhTlRHgFACCaCHsAAI44f3KJzq0stm37zcd79MKa3WH3rzncqvte+qttW1Zaiv71kikx6yMAQPq70yp0qrGS4k/f2a4/f7Y/7P7b65r1zd/Yz9cjcjN0/8WcrwFgqBD2AAAc4fF49IMrZygvI9W2/cFXNuj1jaEXEHcvWaeDzfaizA9eOlVlhVkx7ScAJDuv16NHrjpJaSke2/avL1mn97eF1u+569cfqbXTPs3r25dNU0F2Wkz7CQA4hrAHAOCYssIs/ccVJ9q2+QOWvvnb9SH77qxvtT0+f3KxbjjjhJj2DwBwVOXIPH3r0mm2bR3+gP7p+U9C9j3Q3Gl7/Henleuyk0bHsnsAAANhDwDAUQtmlusfjNW5+lI5MlePXztTHo+n750BAFHxlbPG6OrTym3bAlbvrzm5vEDfuWI652sAGGKEPQAAx91/8WTdeOaYfu07sSRXv7jldBVkMR0AAIaSx+PRI1fO0OUnl/Zr/5PKC/TsLWcoMy0lxj0DAJgIewAAjvN6PfqP+SfqP+afqOz0yBcFl84Yrd/c+QWNLqBODwA4ITXFq8f//hTd/8XJSk+JfClx7ewKPf+1M6nTAwAOSe17FwAAYs/j8egrZ43VRdNG6dmVu7T9SJvt+advPE1zJ5c41DsAQDev16O7zpuo+aeUafH7O7SnxV6j57nbztDsscMd6h0AQGJkDwAgzowqyNSdYWr4nDqGCwcAiCdlhVn6pwsqQ7ZPGZXvQG8AAD0R9gAAAAAAALgIYQ8AAAAAAICLEPYAAAAAAAC4CGEPAAAAAACAixD2AAAAAAAAuAhhDwAAAAAAgIsQ9gAAAAAAALgIYQ8AAAAAAICLEPYAAAAAAAC4CGEPAAAAAACAixD2AAAAAAAAuAhhDwAAAAAAgIsQ9gAAAAAAALgIYQ8AAAAAAICLEPYAAAAAAAC4CGEPAAAAAACAixD2AAAAAAAAuAhhDwAAAAAAgIsQ9gAAAAAAALgIYQ8AAAAAAICLEPYAAAAAAAC4CGEPAAAAAACAixD2AAAAAAAAuAhhDwAAAAAAgIsQ9gAAAAAAALgIYQ8AAAAAAICLEPYAAAAAAAC4CGEPAAAAAACAi6Q63QHEJ7/fH/x+3759DvYEfQm0NavpcIttW2NNjbxZuQ71CDh+ze1+NdfX2rbV7ClUbiZ/tpC4OF/DjThfw404X2Oo9bzm7nktfjw8lmVZUWkJrrJmzRqdfvrpTncDAAAAAICksXr1as2ePfu422EaFwAAAAAAgIswsgdhtbe3a/369ZKk4uJipabG/1Dcffv2BUcjrV69WqNHj3a4R8DgcTzDTTie4TYc03ATjme4TSIe036/X3V1dZKkGTNmKDMz87jbjP8reDgiMzMzKkPHnDJ69GiVl5c73Q0gKjie4SYcz3Abjmm4Cccz3CaRjumxY8dGtT2mcQEAAAAAALgIYQ8AAAAAAICLEPYAAAAAAAC4CGEPAAAAAACAixD2AAAAAAAAuAhhDwAAAAAAgIsQ9gAAAAAAALiIx7Isy+lOAAAAAAAAIDoY2QMAAAAAAOAihD0AAAAAAAAuQtgDAAAAAADgIoQ9AAAAAAAALkLYAwAAAAAA4CKEPQAAAAAAAC5C2AMAAAAAAOAihD0AAAAAAAAuQtgDAAAAAADgIoQ9AAAAAAAALkLYAwAAAAAA4CKEPXDUeeedJ4/H06+v/tiwYYPuuOMOTZgwQVlZWSouLtY555yjJ598Un6/v9/9WrZsmRYsWKDy8nJlZGSovLxcCxYs0LJly/rdht/v15NPPqlzzjlHxcXFysrK0oQJE3THHXfos88+63c7SHzLli2zHcsPP/xwv17H8Qwnvfbaa3r44Yd16aWXaurUqRoxYoTS0tI0bNgwnXbaafqXf/kXbd68ud/t7dq1S//yL/+iKVOmKCcnR8OHD9fs2bP12GOPqbW1td/tfPDBB/ryl7+sMWPGKDMzU6NGjdLFF1+sJUuWDOjnW7JkiS666CKNGjVKmZmZGjNmjL785S/rww8/HFA7SBw7d+7UwoULddVVV2nSpEnKzs5WZmamysvLdcUVV+j5558f0LmVczSc1NzcrHfeeUc/+tGPdM0112jcuHHBzxljx44dcHscz3CLaH3ecAULcNDcuXMtSf366stPf/pTKz09PeLrTz/9dKuurq7XNrq6uqxbb721137cdtttVldXV6/t1NXVWbNnz47YRkZGhvWzn/1sQL8rJKbm5mZrzJgxtn//hx56qM/XcTzDST6fr1/n5bS0NOsHP/hBn+397ne/s/Lz8yO2U1lZaVVVVfXZzkMPPWR5vd6I7Vx66aVWW1tbr220trZa8+bNi9iG1+u1Hn744X7/rpAYvvWtb1kej6fPY3r27NnWrl27+myPczScdt5550X8Nx8zZsyA2uJ4hltE6/OGWxD2wFHdYc+sWbOs9evX9/rVm9deey14ATBy5EjriSeesFatWmUtW7bMuvLKK4P/wefMmWP5/f6I7Xzzm98M7jtz5kxryZIl1urVq60lS5ZYM2fODD73wAMPRGzD7/dbc+bMCe575ZVXWsuWLbNWrVplPfHEE1ZJSUnwguKPf/zjoH93SAz33nuvJSn4796fsIfjGU7z+XxWQUGBNX/+fOv73/++9fzzz1srVqyw1qxZYy1dutS69957rYKCguBx8ZOf/CRiWx9//LGVlZVlSbJyc3Ot733ve9YHH3xgvfXWW9btt99u+wDW2NgYsZ0nn3wyuO+ECROsRYsWWatXr7ZeffVV6/zzzw8+d9111/X6s1177bXBfc8//3zr1VdftVavXm0tWrTImjBhQvC5p556atC/P8Sf7ovQnJwc68tf/rK1ePFi67333rPWrl1r/fKXv7RdXE6aNMlqamqK2BbnaMSDnjdMhw8fbl100UVWbm7ugMMejme4RbQ+b7gJYQ8c1f2Hau7cuYNuo7Oz0xo/frwlycrPz7e2bt0ass9dd90V/A++ePHisO1s3rzZSk1NDYZPra2ttudbWlqsWbNmWZKs1NTUiKnwokWLgu911113hTxfVVUVTJwnTpxo+Xy+gf/QSAhr1661UlJSgneh+hP2cDwjXvT2od6yLGv79u3WsGHDLElWcXFxxP3POeec4HH2wQcfhDz/6KOP9vl/o76+PhgunXDCCSF3mP1+v3XZZZcF21m+fHnYdt56663gPpdddllIn+vq6qwTTjjBkmQVFhZaDQ0Nvf4OkDjuv/9+64c//GHED/h+v9+65pprgsfHv//7v4fdj3M04sVTTz1lPffcc7Zjo3skcX/DHo5nuEk0Pm+4DWEPHBWNsOeFF14I/seNNJ2gpaUleFEybdq0sPvceeedwXY+/PDDsPt8+OGHvf4RsizLmjp1avAuS0tLS9h9fvCDHwTbefHFF/vxUyLR+P3+4J2sf//3f7eWL1/erz8wHM9IJHfccUfw337Dhg0hz69atSr4/B133BG2ja6uruBxVlhYaHV2dobs88Mf/jDYzpIlS8K2U11dbaWkpFiSrHnz5oXd55JLLgl+EKyurg67z5IlS4Lv9eijj0b60eFCBw8eDE5lmTFjRth9OEcjng007OF4hltE6/OG2xD2wFHRCHuuu+664H/uffv2Rdyv50XJ5s2bbc8FAgGrtLTUkmRNmTKl1/ebPHmyJckqKyuzAoGA7bnNmzcH3+Mf/uEfIraxb9++4H59TTlAYnrssceCQ0Xb29v7HfZwPCORfOMb3wj+269duzbk+QceeCD4/MqVKyO20/PD+5///OeQ588666zgneeOjo6I7Vx88cWWdLSmgzmCo7GxMXgh/8UvfjFiGx0dHcE7x2eddVbE/eBO3aMPsrOzwz7PORrxbKBhD8cz3CJanzfchtW4kPDee+89SdLkyZM1atSoiPvNnTs3+P37779ve27Hjh3au3dvyH69tVNTU6OdO3eG7Utf7YwaNUqVlZVh+4LEt3PnTj300EOSpJ/85CfKyMjo92s5npEo2tratHTpUkmS1+sNHgM9dR9DOTk5Ou200yK21dvx3NnZqdWrV0uSzjrrLKWnp/fZTkdHh9auXWt7bs2aNers7Ax5P1N6errOPPPM4Gt8Pl/EfeE+HR0dkqSUlJSwz3OOhptwPMMtovF5w40IexAXNm3apDPOOEOFhYXBZVDnz5+vZ599ttcP2s3NzaqurpYkTZkypdf36Pn8559/bntu48aNYfcbinaqq6vV0tLS675ILHfeeadaW1t1ww036G/+5m/6/TqOZ8Q7n8+n3bt36/nnn9cXvvAFVVVVSZJuueUW5eXlhezffUxNnDhRqampEdvt7TjcsmWLurq6QvYbaDuDOZ79fn/wZ4T7HThwIHjcTJ06NeR5ztFwE45nuEk0Pm+4EWEP4kJtba1Wr16tI0eOqKOjQzU1Nfrd736nm266SaecckrE/4x79uwJfl9eXt7re1RUVAS/7/7jFg/tWJZlex0S23PPPac//elPKiws1H/9138N6LUcz4hHO3fulMfjkcfjUXp6usaMGaPrrrtOn3zyiSTp4osv1n/+53+GvK69vV0HDx6U1PfxM2zYMOXk5EiKr+M5XDtwr8cee0x+v1+SdM0114Q8H2/HIudoHA+OZ7hFtD5vuFHk2AsYAl6vVxdccIHmzZunk08+WUVFRWpqatLHH3+sp556Sp9//rk2btyo888/X6tXr9YJJ5xge31TU1Pw+9zc3F7fq/s/tnT0bkY8t4PE1NDQoHvvvVeS9IMf/EAlJSUDen28HYccz+jNiBEj9D//8z+66qqrwk55GcjxIx09hlpaWjie4YhVq1bp8ccfl3T0YuHOO+8M2SfejkWOaRyPeDsOOZ4xWNH6vOFGhD1w1G9/+1sVFhaGbD/nnHN011136fbbb9cvfvEL1dbW6p577tFvf/tb237t7e3B73ur4yDJVjelra0trttBYvrGN76hAwcO6IwzztDXvva1Ab8+3o5DjmdIUllZmdavXy/p6LSmmpoa/elPf9KiRYv0D//wD9q2bZseeOCBkNcN5PiRjh1DHM8YarW1tbr66qvl9/vl8Xj0i1/8QtnZ2SH7xduxyDGN4xFvxyHHMwYrWp833IhpXOhT9/D94/n6+c9/HrbtcEFPt7S0ND399NOaPHmyJOmVV15RTU2NbZ/MzMzg992FNyPpLrooSVlZWXHdDmInVsfz22+/rcWLFyslJUVPPvmkvN6Bn17j7TjkeI5/sTw/d0tLS9P06dM1ffp0nXLKKbr00ku1cOFCrVy5Uh6PR//2b/+mW265JeR1Azl+pGPHEMdzchuKY7qnpqYmXXrppcGpII888kjEWmvxdixyTMe/oT6eByLejkOOZwxWtD5vuBFhD+Jaamqqbr311uDjFStW2J7vWRC0r6F4PQu4mUP84q0dJJaOjg7dcccdkqSvf/3rOuWUUwbVTrwdhxzP6M1JJ52k7373u5KkxYsX6/XXX7c9P5DjRzp2DHE8Y6i0t7dr/vz5+uijjyQdHZ15//33R9w/3o5Fjmkcj3g7DjmeMVjR+rzhRkzjQp+iUal89OjRg37ttGnTgt+bI3vKysqC3/dVoK1nEa6eBeIkezGvaLYzYsSIPtvxeDx9FhND9MTieP7tb3+rLVu2KC0tTdOmTdPzzz8f8pqeq0xs2LAhuM8ZZ5yhcePGSeJ4xsA5fX6eP3++7rrrLknSyy+/rIsuuij4XGZmpoqKilRfX9/ncXjo0KHgh6+hOp5nzZo1qHYQW0N1TPv9fl1zzTVavny5JOm2227TY4891utrOEdjoJw+R/eG4xluEa3PG25E2IM+9bX8Yax5PJ6Iz+Xl5amiokLV1dXatGlTr+30fN5cUrVnoBTNdnob4dHdTkVFha3QHGIrFsdz93BQn8+n22+/vc/9f/Ob3+g3v/mNpKMjIrrDHo5nDJTT5+fi4uLg97t27Qp5ftq0aXr33Xe1detW+f3+iMuh9nYcVlZWKiUlRV1dXUP+/yI1NVWTJk3qdV9E11Ac04FAQDfeeKN+//vfS5L+/u//Xk899VSfr+McjYFy+hzdG45nuEk0Pm+4EdO4EPd6jogoLS0NeX7OnDmSpM2bN2v//v0R2+k5Bezss8+2PTdu3Lhg2+ZUMdM777wj6egdkbFjx4btS1/t7N+/X1u2bAnbFyQ3jmckkp6jLcMNh+4+hlpaWoJTZcLp7XhOT0/X6aefLkn68MMPe52P391ORkZGyMid2bNnBws39nY8d3Z2auXKlcHXpKWlRdwXiemOO+4Ijq687LLL9Ktf/arfddY4R8NNOJ7hFtH4vOFGhD2Ia36/X88880zw8bnnnhuyzxVXXBH8PlIRu9bWVr344ouSjia/lZWVtuc9Ho/mz58v6Wji2/1B37Ry5cpgIjx//vyQUUeVlZXBlPjFF19Ua2tr2HZ69nPBggVh90HiuPnmm2VZVq9f3VMFJOmhhx4Kbr/55pttbXE8I5G89NJLwe9nzJgR8nzP43nx4sVh2wgEAnr22WclHS3af/7550dsp7GxMWRVxm579uzRm2++KUm64IILbHP4paN3sS+44AJJ0ptvvhlxqPdvf/tbNTY2SuJ4dqN//ud/1tNPPy3p6HHy0ksvRbwDHA7naLgJxzPcIlqfN1zHAhzyl7/8xTp06FDE5zs7O62bbrrJkmRJsi677LKI+40fP96SZOXn51tbt24N2eeuu+4KtrN48eKw7WzevNlKSUmxJFmzZs2yWltbbc+3trZas2bNsiRZqamp1pYtW8K2s2jRouB7/eM//mPI81u3brXy8/MtSdbEiRMtn88X8XcA91i+fHnwuHjooYci7sfxjHjwyiuvWHv37u11nxUrVli5ubnBY2jTpk1h9zvnnHOC+3zwwQchzz/66KN9/t+or6+3CgoKLEnWmDFjrIMHD9qe9/v91mWXXRZsZ/ny5WHbeeutt4L7XH755Zbf77c9X1dXZ51wwgmWJKuwsNBqaGjo9XeAxPLQQw8F//2/8IUvWM3NzQNug3M04tmYMWOC58n+4HiGm0Tj84bbEPbAMTfddJOVm5trXX/99dZPf/pTa8WKFda6deusd99913r88cetadOmBf9DlpSUWNu3b4/Y1muvvWZ5vV5LkjVy5Ehr4cKF1qpVq6w//elP1lVXXRVsZ86cOSEf7nv65je/Gdx35syZ1vPPP2+tWbPGev75562ZM2cGn3vggQcituH3+62zzz47uO9VV11l/elPf7JWrVplLVy40CopKbEkWV6v1/rjH/94XL9DJI7+hj2WxfEM5910001Wenq6tWDBAuu///u/reXLl1vr1q2zVq5caf3617+2rr322uAxKsn6j//4j4htffzxx1ZWVpYlycrNzbW+//3vWx9++KH1l7/8xfra174WbKOystJqbGyM2M6TTz4Z3HfChAnWM888Y61Zs8ZaunSpdf755wefu+6663r92a699trgvueff761dOlSa82aNdYzzzxjTZgwIfjcU089NejfH+LPE088Efy3LSsrs9577z1r/fr1vX51dnaGbYtzNOJBVVWVtXjxYttXUVGRJckqKioKeW7fvn1h2+F4hltE6/OGmxD2wDE9R+309jVjxgzrs88+67O9n/70p1Z6enrEdk4//XSrrq6u1za6urqsW265pdf+3HrrrVZXV1ev7dTV1VmzZ8+O2EZGRob1s5/9bEC/LyS2gYQ9lsXxDGf19/yclZVl/ed//mef7f3ud78L3o0N91VZWWlVVVX12c63v/1ty+PxRGxn3rx5VltbW69ttLa2WvPmzYvYhtfrTZo7fslk7ty5/Tqme37t2LEjYnuco+G0xYsXD+h4jjTi0bI4nuEe0fq84RaEPXDMxo0brR//+MfWNddcY02fPt0aOXKklZaWZuXm5loTJkyw/v7v/9566aWXer2LYFq/fr11++23W+PHj7cyMzOtoqIia86cOdZPfvKTAQ31fO2116z58+dbpaWlVnp6ulVaWmrNnz9/QHcRfD6f9b//+7/WnDlzrKKiIiszM9MaP368dfvtt1sbNmzodztwh4GGPZbF8Qzn1NbWWs8884x18803W7NmzbIqKiqsjIwMKysryyorK7Muuugi65FHHulzqldPO3futO69916rsrLSys7OtgoLC61Zs2ZZP/zhD62WlpZ+t/P+++9b119/vVVRUWGlp6dbJSUl1oUXXmg999xzA/oZf/3rX1sXXnihVVJSYqWnp1sVFRXW9ddfH3boNxJftMMey+IcDWdFM+yxLI5nuEe0Pm+4gceyLEsAAAAAAABwBVbjAgAAAAAAcBHCHgAAAAAAABch7AEAAAAAAHARwh4AAAAAAAAXIewBAAAAAABwEcIeAAAAAAAAFyHsAQAAAAAAcBHCHgAAAAAAABch7AEAAAAAAHARwh4AAAAAAAAXIewBAAAAAABwEcIeAAAAAAAAFyHsAQAAAAAAcBHCHgAAAAAAABch7AEAAAAAAHARwh4AAAAAAAAXIewBAAAAAABwEcIeAAAAAAAAFyHsAQAAGEI333yzPB5PyNfOnTud7lrMvf3222F/9ocfftjprgEA4CqEPQAAAHHKDEfy8vLU2tra5+va2tpUUFBge+3bb78d+w4DAIC4QNgDAADQT62trUpNTZXH49EPfvCD42qrtLRU69evD36VlZX1+Zrm5ma9+uqrfe63dOlSNTY2Hlf/YmH27Nm2nxkAAMRGqtMdAAAASBQfffSRurq6JB0NLo5HWlqapk+f3u/9MzMz1d7erl/+8pe6/vrre933l7/8pe018SInJ2dAPzMAABgcRvYAAAD00+rVqyVJHo9Hs2bNGtL3vvzyyyVJb7zxhvbv3x9xvwMHDuj111+XJM2fP39I+gYAAOILYQ8AAEA/dYc9EydOVGFh4ZC+90UXXaRRo0apq6tLS5YsibjfkiVL5Pf7NWrUKF144YVD2EMAABAvCHsAAAD6UFxcLI/HoxdffFGSVFVVFbKi1A033BDTPqSkpOi6666TdGyaVjjPPvusJOn6669XSkpK2H18Pp9GjRolj8ejL37xi32+94YNG4I/56OPPhrc/vDDDwe3S9KRI0f0ne98RzNnzlRhYaE8Ho9+/vOf9/dHBAAAUULYAwAA0Iu9e/fq4MGDfe43FLVobrzxRknSunXr9Nlnn4U8v3HjRn388ce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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 434, "width": 573 } }, "output_type": "display_data" } ], "source": [ "plt.plot(orbit.t, orbit.spherical.distance, marker=\"None\")\n", "\n", "per, per_times = orbit.pericenter(return_times=True, func=None)\n", "apo, apo_times = orbit.apocenter(return_times=True, func=None)\n", "\n", "for t in per_times:\n", " plt.axvline(t.value, color=\"#67a9cf\")\n", "\n", "for t in apo_times:\n", " plt.axvline(t.value, color=\"#ef8a62\")\n", "\n", "plt.xlabel(\"$t$ [{0}]\".format(orbit.t.unit.to_string(\"latex\")))\n", "plt.ylabel(\"$r$ [{0}]\".format(orbit.x.unit.to_string(\"latex\")))" ] }, { "cell_type": "markdown", "id": "bce046b9", "metadata": {}, "source": [ "Now we'll sample from the error distribution over the distance, proper\n", "motions, and radial velocity, compute orbits, and plot distributions of mean\n", "pericenter and apocenter:" ] }, { "cell_type": "code", "execution_count": 13, "id": "01b0f92e", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.335010Z", "iopub.status.busy": "2024-03-26T15:35:02.334778Z", "iopub.status.idle": "2024-03-26T15:35:02.341282Z", "shell.execute_reply": "2024-03-26T15:35:02.340726Z" } }, "outputs": [], "source": [ "n_samples = 128\n", "\n", "dist = (\n", " np.random.normal(icrs.distance.value, icrs_err.distance.value, n_samples)\n", " * icrs.distance.unit\n", ")\n", "\n", "pm_ra_cosdec = (\n", " np.random.normal(icrs.pm_ra_cosdec.value, icrs_err.pm_ra_cosdec.value, n_samples)\n", " * icrs.pm_ra_cosdec.unit\n", ")\n", "\n", "pm_dec = (\n", " np.random.normal(icrs.pm_dec.value, icrs_err.pm_dec.value, n_samples)\n", " * icrs.pm_dec.unit\n", ")\n", "\n", "rv = (\n", " np.random.normal(\n", " icrs.radial_velocity.value, icrs_err.radial_velocity.value, n_samples\n", " )\n", " * icrs.radial_velocity.unit\n", ")\n", "\n", "ra = np.full(n_samples, icrs.ra.degree) * u.degree\n", "dec = np.full(n_samples, icrs.dec.degree) * u.degree" ] }, { "cell_type": "code", "execution_count": 14, "id": "7f6e0d34", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.343516Z", "iopub.status.busy": "2024-03-26T15:35:02.343314Z", "iopub.status.idle": "2024-03-26T15:35:02.347525Z", "shell.execute_reply": "2024-03-26T15:35:02.346937Z" } }, "outputs": [], "source": [ "icrs_samples = coord.SkyCoord(\n", " ra=ra,\n", " dec=dec,\n", " distance=dist,\n", " pm_ra_cosdec=pm_ra_cosdec,\n", " pm_dec=pm_dec,\n", " radial_velocity=rv,\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "87f31282", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.349815Z", "iopub.status.busy": "2024-03-26T15:35:02.349451Z", "iopub.status.idle": "2024-03-26T15:35:02.353442Z", "shell.execute_reply": "2024-03-26T15:35:02.352931Z" } }, "outputs": [ { "data": { "text/plain": [ "(128,)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "icrs_samples.shape" ] }, { "cell_type": "code", "execution_count": 16, "id": "8562d6fb", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.355796Z", "iopub.status.busy": "2024-03-26T15:35:02.355414Z", "iopub.status.idle": "2024-03-26T15:35:02.362464Z", "shell.execute_reply": "2024-03-26T15:35:02.361881Z" } }, "outputs": [], "source": [ "galcen_samples = icrs_samples.transform_to(galcen_frame)" ] }, { "cell_type": "code", "execution_count": 17, "id": "ea18bf2d", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.364872Z", "iopub.status.busy": "2024-03-26T15:35:02.364495Z", "iopub.status.idle": "2024-03-26T15:35:02.507412Z", "shell.execute_reply": "2024-03-26T15:35:02.506698Z" } }, "outputs": [], "source": [ "w0_samples = gd.PhaseSpacePosition(galcen_samples.data)\n", "orbit_samples = potential.integrate_orbit(w0_samples, dt=-1 * u.Myr, n_steps=4000)" ] }, { "cell_type": "code", "execution_count": 18, "id": "041ba0ef", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.510239Z", "iopub.status.busy": "2024-03-26T15:35:02.509828Z", "iopub.status.idle": "2024-03-26T15:35:02.514147Z", "shell.execute_reply": "2024-03-26T15:35:02.513517Z" } }, "outputs": [ { "data": { "text/plain": [ "(4001, 128)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "orbit_samples.shape" ] }, { "cell_type": "code", "execution_count": 19, "id": "9cda64c7", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:02.516692Z", "iopub.status.busy": "2024-03-26T15:35:02.516297Z", "iopub.status.idle": "2024-03-26T15:35:04.126504Z", "shell.execute_reply": "2024-03-26T15:35:04.125826Z" } }, "outputs": [], "source": [ "peris = orbit_samples.pericenter(approximate=True)\n", "\n", "apos = orbit_samples.apocenter(approximate=True)\n", "\n", "eccs = orbit_samples.eccentricity(approximate=True)" ] }, { "cell_type": "code", "execution_count": 20, "id": "45c6309f", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T15:35:04.129501Z", "iopub.status.busy": "2024-03-26T15:35:04.129090Z", "iopub.status.idle": "2024-03-26T15:35:04.568678Z", "shell.execute_reply": "2024-03-26T15:35:04.568003Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'eccentricity')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4IM4999z405/+FO+9915cfPHF8cADD9TocRqjlOM9cODAGDRo0Gbj3KdPn/j+978fjzzySJx88snxxRdfxCWXXBInnnhifP3rXy+3v/XlNe5K6kT+8Y9/xMCBA6O0tDRatGgR9913X3To0KHcui1atMiVS0pKKmy37CX2LVu2zE9naXSuu+66WLBgQey6664xfPjwau9vTlIIZedVRMQ555yzSSCzUcuWLTe5euSee+4ptw1zk3xYtWpVHHXUUXH99dfHRx99FJdddlnMnz8/1q1bF59++mk8/vjjccghh8TcuXPjpJNOiltuuWWT/c1JasLxcOvkeMNG+RpLc6JxuP7662Ps2LER8eWbTb/73e+2WHfjmFc23hHGvC6tW7cu96Hxiy66KL75zW/WqB3j3bhV5xge8dUY13Z8u3btGvvss0/su+++ceihh8Yll1wSf//73+P444+PRx55JPr06VPuLbqdc2qnoY13RFR4S9iioqIYMWJEHHnkkRERuaus+VKq8Xa+qT8a2phHVPwa32abbWLs2LG59ykefPDBSr/3eGuS8pi+/fbbV/hBhO985ztx1VVXRUTE6tWrY9y4cZvVqW+vcSF1AosWLYpjjjkmPv7442jatGlMnDgxvv3tb2+x/rbbbpsrV3YJfdkrb6pyeT5bnwULFsT1118fERFjxozZ5BYNVWVOUghl51VExDHHHLPFukceeWQUF395848XX3yx3DbMTfLh6quvjhkzZkRExLhx42LUqFHRs2fPaNasWWy33XZx9NFHxzPPPBOHH354ZFkWQ4cOjb/97W+5/c1JasLxcOvkeMNG+RpLc6Lhu/322+O//uu/IiKiZ8+e8eijj1b4/7eNY16VW+8Z87ozYsSIeO2116Jz585xzTXX1Lgd4924VecYHvHVGBdifFu0aBF33XVXtGrVKt5555247LLLNqvjnFM7DW28q+r888/PladNm5aP7jUKqcbb+ab+aGhjXhXFxcUxePDg3L+9xr9Sn47pERHnnXdeLsgub5zq22vc7b4LbNmyZXHUUUfFsmXLoqioKO68884YMGBAhfuU/XL1LX16baOyX66+8UvMoazRo0dHSUlJ7L777rF69eqYOHHiZnVeeeWVXPnpp5+Od999NyIivvvd70br1q3NSQqiefPm0b59+/jggw8iouL50qJFi2jXrl28++67ufoRjpfkV5Zlceedd0ZERI8ePWLQoEHl1isuLo5rr702DjnkkNiwYUOMHz8+Ro8eHRHmJDXjeLj1cbyhrHyN5b+2065du0rbKSoq2mQ/6s6ECRPiggsuiIiI3XbbLZ544okKxzDiyzF/4YUXYtWqVfHJJ59UeAXMxjFv3779Jrfto/BGjRoVERFHHXVUPPzww+XW2fgG4KpVq3L/Z+/QoUMcccQRuTrGu3Fr0aJF7LjjjvHhhx9Wei74+OOPc3OmUOf1du3aRb9+/eKJJ56IyZMnxxdffBHbbLNNbrtzTu00tPGuqr333jtXdpXlV1KNt/NN/dHQxryqvMbLV9+O6R06dIgdd9wxVqxYUe441bfXuJC6gFasWBFHH310vPXWWxHx5VWsZ5xxRqX7lX2xL1iwoMK6Zbdv/AJ7KGvjLRneeuutOP300yutf+211+bKixYtitatW5uTFMw3vvGNePbZZyMiYv369RXW3bh94xWEEY6X5Nd7770XH330UURE9OrVq8K6+++/f65cdm6Zk9SU4+HWxfGGsvI1lv/azre+9a1K2+ncuXON7rREfj300ENxxhlnxIYNG2LnnXeOp556qkpBzt577x3/+7//GxFfjmnfvn3LrVdaWhpvvvlmRDgG1IWNt1K866674q677qqw7ooVK3L/b+/fv/8mbyAb78Zv7733jhkzZsQbb7wRpaWlm6z1ykp1Xm/fvn1EfHm70BUrVsTOO++8SV/L9sc5p/oa0nhXle+g3rIU4+18U780pDGvKq/xLatvx/SKxqq+vcbd7rtAPv300zj22GPj1VdfjYiIkSNHxoUXXlilfbt27RodO3aMiMpvmzB9+vSIiNhll12iS5cuNe8wVMCcpFDKfvXBxg/0lGflypWxYsWKiPhybm1kbpJPZReQpaWlFdb94osvyt3PnKSmHA+3Lo43lJWvsTzkkENy5Yraeffdd2PhwoUREdGvX7+adJk8euqpp+LUU0+N0tLS2HHHHeOJJ56Ibt26VWnfqo753Llzc1dsGPOGy3g3fhvHeNWqVfGXv/xli/XKjn8hx7js1Vf/eotP55zaa0jjXVUb3wePiNzahi/Vt/GuiPNNfjSkMa8qr/Etq0/j/cEHH+TeNypvnOrba1xIXQCrV6+OE044IV566aWIiLjiiivi8ssvr/L+RUVFuVuCL1iwIGbPnl1uvdmzZ+c+eTFgwACfZKFc48ePjyzLKvwZPnx4rv4zzzyT+/3GN77MSQrllFNOyZUffPDBLdZ78MEHI8uyiIg49NBDc783N8mnHXbYIbbbbruIiJg1a1aFwVHZRVzXrl1zZXOSmnI83Lo43lBWvsayR48euU+433vvvbF69epy2xk/fnyuPHDgwNp2n1qYOXNmDBgwINatWxfbb799PPbYY/GNb3yjyvsfdthhsf3220dExJ/+9Kfc+eFfGfO6Vdn/x7Msi9122y0ivrzV+8bfbbzDykbGu/E76aSTcuUtXRG3YcOGuPvuuyMiom3btnH44YcXpC9LliyJWbNmRcSX87Ls921GOOfkQ0Ma76q6/fbbc+X+/fvnpW+NRYrxdr6pXxrSmFdFaWlp7iurIjb9oD3165h+xx135F635R2L691rPCOv1q1blx1zzDFZRGQRkV100UU1aue1117LmjZtmkVE1rt372z16tWbbF+9enXWu3fvLCKy4uLibOHChXnoPVur4cOH5+bsM888U24dc5JCOe6447KIyJo0aZI9+eSTm21fvnx51qlTpywismbNmmVLlizZZLu5ST6dfvrpuePh1VdfXW6djz76KNt7771z9R577LFNtpuT1JTj4dbF8abxWrRoUW7MBg0aVKV98jWW48aNyz32hRdeuNn2N954I9tuu+2yiMi6d++effHFF9V+fmyuJmM+b968rG3btllEZK1bt86ee+65Gj32L37xi9xj33DDDZttnzlzZlZcXJxFRNa/f/8aPQabqsl4V2a33XbLIiLbbbfdKqxnvBu/Qw89NHesnzlz5mbbb7jhhtwcGD58+Gbbn3nmmQrn52uvvZY99dRTFfbhk08+yfUjIrJf/OIX5dZzzqm9hjLes2bNypYtW7bFNjZs2JBdccUVuTb222+/bMOGDRU+7tao0ONdFc43aTWUMX/66aezjz/+eIvbS0pKskGDBuX68t3vfrdGfWnsCj3eixYtyl566aUK+/Dwww9nzZo1yyIia9my5WbvG21Un17jQuo8O/nkk3ODe8QRR2R///vfs5dffnmLP6+99toW2xo2bFiurV69emUTJ07MXnzxxWzixIlZr169ctt+/vOfJ3yGNEZVCamzzJykMF577bXcG3QtWrTIhg0blk2fPj178cUXs9/97ne5QCYislGjRpXbhrlJvsyfPz9r1arVJgvv+++/P3vppZeymTNnZrfccku266675rYfeeSR5bZjTlITjodbF8ebxmPGjBnZXXfdlfu58cYbc3/3fv36bbLtrrvu2mI7+RjL0tLSrF+/frm6p5xySvZ///d/2QsvvJCNGTMm69ChQ+7DMI8++mgB/hpbh9qO+RtvvJEbi4jIRo8eXeH7Bi+//HL23nvvlduXlStXZj169Mi1dd5552VPP/10NmvWrOy6667L2rRpk3uTat68eYX9wzRS+XqNV6SqoYHxbvxeeumlrGXLlllEZG3atMmuu+66bNasWdnTTz+dnXfeebmx79GjR7Zy5crN9q/sDe6N2/fbb79s+PDh2UMPPZTNmTMne+mll7JHH300u+KKK7Kvf/3ruTb22WefbNWqVeX21Tmn9hrKeA8fPjxr3rx5NmDAgOy3v/1t9vTTT2cvvfRSNmvWrOz222/PDjzwwFwbrVq1yubMmVOIP1eDV+jxrgrnm7QaypgPGjQoa9OmTfaDH/wgu+OOO7Jp06Zl8+bNy2bMmJHdeuutm3xwukOHDtlbb71Vo740dqmO6QcddFB23XXXZVOmTMlefPHF7MUXX8zuueee7Hvf+15WVFSUa+N3v/vdFvtan17jQuo82zioVf2p6OCwfv367Oyzz65w/8GDB2fr169P9wRplKoaUpuTFMqMGTOynXbaaYvzqqioKLvyyiu3uL+5ST498cQTWbt27So9hx9xxBHZRx99VG4b5iQ15Xi4dXG8aRzKXlVQlZ8tyddYfvDBB1mfPn222Ebz5s2zP/7xj/n+M2xVajvmd911V7XfOyjvaouNXn/99WyPPfbY4r7bbbdd9vDDDxfwL9K45es1XpGqhgZZZry3Bg899FDuCuTyfnr06JG9/vrr5e5b1Te4q/JzwgknZO+//36FfXXOqb2GMN5l3zes6GfXXXet8Z1BthaFHO+qcL5JryGMeVXXOvvuu2/2j3/8o0b92FrUh2N6q1atsttvv73SvtaX17iQOs+q8x+Xqp4QpkyZkg0YMCDr2LFj1qxZs6xjx47ZgAEDfAqRvKlqSL2ROUkhrFixIhs+fHi23377Zdttt13WokWLrGvXrtlZZ51V6a1MNjI3yZcVK1Zko0aNyg477LCsffv22TbbbJO1bNky69q1a3bqqadmkyZNqtLty8xJasLxcOvieNPw5TvAysdYfvHFF9nvf//77JBDDsl23HHHrEWLFtnuu++enXvuudkrr7xSm6dLVv9C6izLss8//zwbNWpU1rt376xt27ZZq1atsj333DO75JJLssWLFxfoL7F1qG8hdZYZ763B4sWLs0suuSTr0aNH1qpVq6xt27ZZ7969s1GjRm3xyuYsq/wN7pKSkuyxxx7Lhg4dmh1++OHZHnvskW233XZZcXFxtsMOO2T7779/duGFF1YraHTOqb36Pt6LFy/Ofv/732c//vGPs/322y/beeeds2bNmmWtWrXKdt111+ykk07Kxo0bl61Zs6a2f4qtQqHGuyqcb+pGfR/zV199NRs9enR26qmnZvvss0+20047Zdtss03Wpk2brFu3btn3v//97L777stKS0tr1IetTaHGe+XKldmf//zn7MILL8wOPPDAbNddd81atWqVNWvWLNtpp52yI444IhsxYsQW78BUnvrwGi/Ksi18KzYAAAAAAAAA5FmTuu4AAAAAAAAAAFsPITUAAAAAAAAAyQipAQAAAAAAAEhGSA0AAAAAAABAMkJqgP/f3p3HRVXv/wN/DQMDAgIKbogCFpDpuBIPExNwzd2uqKkpaLmDaZpe/VridS+zvKamlUuZXc30irlhhbgniAtoiga4geEGqKgI8/n9wW/OHZgVBgbQ1/Px4CFwPu8z73Pm+Jg353M+nw8RERERERERERERERFZDDupiYiIiIiIiIiIiIiIiIjIYthJTUREREREREREREREREREFsNOaiIiIiIiIiIiIiIiIiIishh2UhMRERERERERERERERERkcWwk5qIiIiIiIiIiIiIiIiIiCyGndRERERERERERERERERERGQx7KQmIiIiIiIiIiIiIiIiIiKLYSc1ERERERERERERERERERFZDDupiYiIiIiIiIiIiIiIiIjIYthJTUREREREREREREREREREFsNOaiIiIiIiIiIiIiIiIiIishh2UhMRERERERERERERERERkcWwk5qILOrgwYOQyWSQyWQ4ePBgZadDeoSHh0vvk+ZXenq63rZeXl4Wz7O8REVF6TxeXqNEREREptFVSwUHBxtsGxUVZdEcy5OXl5fW8VbnepiIiIiotNT1UHh4eLXaNxFVHeykJiIiIiIiIiIiIiIiIiIii2EnNRFRBXgeRhcDgLu7O5KSkqSvhg0bVnZKFWLChAnSMa5bt66y0yEiIqIX0PMwuhgAxo8fL9VV69evr+x0KkxMTIx0nP369avsdIiIiIh0eh5ntUxPT5eOacOGDZWdDhGZwbqyEyCiF0twcDCEEJWdBpnIxsYGzZs3r+w0KlzdunVRt25dAMCdO3cqORsiIiKi6qtu3bovRP3o6+srfe/i4lJ5iRARERFVEl3LAlaHfRNR1cGR1EREREREREREREREREREZDHspCYiIiIiIiIiIiIiIiIiIothJzVRNRUVFSWtvQEA2dnZmDNnDpo1awZHR0fUrl0bISEh+PHHH03a35MnT/Dll1+ic+fOqF+/PhQKBerWrYsuXbrg22+/RUFBgd5YLy8vyGQyhIeHAwBOnTqF8PBweHt7w9bWVsoRKN06KHv27ME777yDJk2awMHBAXZ2dvD29saAAQOwYcMG5OXl6Y1NTEzEuHHj4OfnB0dHRzg4OMDPzw/jx49HSkqK3rgNGzZI+aWnp0OlUmHt2rVo3749atWqBQcHB7Ro0QILFizQ+frq92Xjxo0AgKtXr0r70/zSxVLvQWU4cOAAHB0dIZPJ8Morr+D69evStpLrd9+8eRMffPABfH19YW9vjzp16qBXr17Yt2+fSa/14MEDfPbZZ+jUqZN0Hp2cnNC6dWtERkbi6NGjFXGIRERE1UpycjLmz5+P7t27w8PDA7a2tnB0dISPjw/CwsJw4sQJg/HlXYump6djypQpaNasGWrWrAl7e3v4+Phg7NixSEpKMmkf5tQAhYWF2LhxI3r37g13d3fY2trC1dUVHTp0wLJly/D48WO9scHBwZDJZAgODgbwv1rm5ZdfRo0aNeDq6oru3btj7969OuPVdZza3LlztWpHdY1X0pUrVzBlyhQolUo4OzujRo0aaNKkCcLDw5GQkKA355I1uUqlwrp16xASEoJ69erByspK72tagkqlwvjx46UcIyIiii0ZVHL97l9//RV9+/ZFgwYNYGdnhyZNmiAiIgI3b9406fWSk5MRGRkJpVKJWrVqwcbGBvXr10eXLl3wySefIDMzsyIOk4iIiEohNjYWYWFhaNKkCezt7eHk5ASlUokPP/wQGRkZRuOPHj2K9957D35+fnBycoJCoYCHhwd69+6NlStXIjs7W29seno6ZsyYgbZt28LV1RU2NjZwc3PDG2+8gaioKKSmpuqNzcnJwaJFixAYGIg6depAoVCgQYMG6NOnD7Zt22ZwWcSSNU98fDyGDBki1e8NGzbE8OHD8eeff+rMWSaTISQkRPpdSEiIVp2puaZzyRo/JycH8+bNQ+vWreHi4qLVvuT9yPI8f/r2LZPJ4O3tLf08cuRIrWNSn682bdpAJpOhadOmBvMDgLt370r3UCdMmGC0PRGVE0FE1dKcOXMEAAFApKamipdeekn6ueTXoEGDxLNnz/Tu68yZM8LT01NvPADx2muviVu3bumMV8eGhYWJ1atXC2tra614tdjYWOl3sbGxOvd3584d0blzZ4P5ABDr16/Xii0sLBRTpkwRMplMb5y1tbVYs2aNztdev3691O78+fMG8wgICBAPHz7U+74Y+qrM98AUYWFhAoDw9PQ0u+1PP/0kFAqFACDatGkjsrKy9MbHx8eLunXr6j0HH3zwgcFcDhw4INzc3Ep9/jWZco0SERFVZ5qfdYa+/vnPf+rdR3nWohs3bhS2trZ64+VyuVi4cKHBYzKnBrh69apo2bKlwbiXX35ZXLp0SWd8UFCQACCCgoLEkSNHDObx6aefasUbqwHVNV5Jn376qbCxsdEbI5PJxEcffaQzZ81rYO/evaJLly4mvaYh6rg5c+aY1TY/P1+8/fbbUpvZs2cbjI+KitJ7DpydncWhQ4f05lFQUGD0bwdTzkVpamciIiIqncePHxerDXR9OTg4iOjoaJ3xeXl5YsiQIUbrLX01jLGaS10H6vLrr78KV1dXg7E9e/YUDx480BmvmdvKlSt13u8DIOzt7UVcXFyx2LS0NJNqfs37q5o1fkpKivDy8jLYXvN+pD5lPX/69m3KManfy5UrV0q/O378uN4chRBi+fLlUtv4+HiDbYmo/FiDiKq9wYMHIy0tDePGjUNoaCicnZ1x7tw5LFmyBCkpKdi6dSvc3d3x+eefa8VeuXIFQUFByMnJgZOTEyZOnIiAgAA0atQId+/eRXR0NNasWYP4+Hj069cPhw8fho2Njc484uPjsWnTJjRq1AjTpk2Dv78/CgoKcPjwYZOPJS8vDyEhIdKImbZt22LMmDFo3rw5bG1tcf36dRw6dAhbtmzRGR8ZGYlVq1YBADp27Ijw8HDpCcuzZ8/iiy++wPnz5zF27FjUr18fffv21ZvL6NGjceLECYSFhWHQoEGoX78+rl27hk8++QTHjx/HyZMnMX/+fCxatEiKmTBhAkJDQzF79mzs3LkT7u7u2L9/v8FjrmrvQXn65ptvMHbsWKhUKnTs2BG7du2Ck5OTzrZ5eXkYOHAgcnJy8M9//hM9e/aEra0t/vjjDyxatAiZmZlYtmwZGjdujPfff18rPjY2Fj169EBBQQHkcjmGDx+Ofv36oXHjxnjy5AkuXLiAvXv3YteuXRV92ERERFVaQUEBHBwc0KtXL3Tq1AmvvPIKnJyckJWVhfPnz+Pf//43rl69isWLF8PX1xcjR440uD9zatHdu3cjPDwcQgg4Ojpi6tSp6NKlC6ytrXHs2DEsWrQId+7cwaxZs+Di4oLx48dr7cOcGuDu3bvo0KEDrl+/DltbW4wePRpBQUHw8vLCw4cPERMTg+XLl+PKlSvo0aMHEhMT4ezsrPM8ZGZmon///rCyssLixYvRoUMHKBQKHDlyBP/617+QnZ2NmTNnokePHmjWrJkUFxMTg/z8fCiVSgDA+PHjtUZv1KpVq9jPn376KaZPnw4AaNGiBcaPHw8fHx+4uLjg0qVL+PLLL3H8+HHMmzcPbm5umDRpkt73b8aMGTh37hz69u2L8PBweHp64u+//0Zubq7emIqSl5eHAQMGYN++fZDJZFi2bBkmT56st/3u3buRkJAAPz8/TJ8+HS1atEBOTg5++uknfP3118jJyUHv3r2RnJyMRo0aacWPGTMG69atAwA0aNAAERERaN++PZydnXH79m2cPHkS27Ztq6jDJSIiIiOEEAgNDcXu3bsBAH369MGgQYPQpEkTWFlZ4eTJk/jss89w7do1hIaG4ujRo/D395fiVSoV+vXrhwMHDgAAfHx8MGHCBPj7+8Pe3h6ZmZk4duwYtm7dqvP1582bh48//hgA4OLiggkTJiAkJASurq7Izs5GYmIitm/frnMGw6NHj6JHjx549uwZ6tWrh8jISLRs2RLu7u7IyMjAli1bsGnTJuzZswdhYWH4+eef9Z6H/fv34+TJk1AqlXj//fehVCrx+PFj7NixA8uXL0deXh6GDx+Oy5cvQ6FQAAAaNmyIpKQkxMfHY9SoUQCAdevW4bXXXiu2bw8PD52vGRoaips3byIyMhJ9+/ZFrVq1cPnyZXh6eurNszzPnz5JSUnIyMhA9+7dAQDz589Hv379irWpW7cuAGDYsGGYNm0aHj9+jPXr16Ndu3Z697t+/XoARbW15jVERBWssnvJiahsSo7Y3bx5s1ab3NxcaVSIlZWVSEpK0mrTvn17AUC0bt1a3L59W+dr7d27V1hZWQkAYu3atVrbNUd/KJVKcf/+fb15GxulOmXKFGn7xIkThUql0rmfp0+fao0qjomJkWK/+eYbnXGPHz8WnTp1kkY6lBzVozmSGoD4/vvvtfbx5MkT0bx5cwFAuLq66hwZVJrRFJZ+D0xRHiOplyxZIuXUu3dvkZeXZzAegLCxsdF68lMIIW7evCk8PDykp2NLjsZ+/PixcHd3l54eNTQC+tq1awaPhyOpiYjoeXf79m2DtcLTp09F165dpc/3goICrTblUYvm5+dLn9+Ojo7i9OnTWvtIT08XDRo0kD7jS9ZK5tYAQ4cOlY4zNTVVZ1xiYqJwcHAQAMSsWbO0tqtHUqv3c+PGDa02hw8flkbrTpo0SefrqPdhbCTy+fPnpdEoc+bM0VkvFxYWinfeeUc6t/fu3Su2veRoel2jlUvL1Pz1tb1//74IDAwUQNHoeV2zJpWMB4pm6tE1+ui7776T2gwcOFBr+86dO6Xtr7/+usH/E8bqR46kJiIiqhhr166V7hft3btXZ5t79+6JZs2aCQAiMDCw2DbN0bFvvfWWePLkic59FBYWatVwiYmJ0r04X19fcf36db15lqwV8vPzpVHIb775pnj06JHB4wMgYmJitLZr1jw9e/YUT58+1Wozf/58qc327du1tpfmPpdmjW9lZSX2799vsL2hkdTmnD9j+9YcJW6oZhRCiOHDhwugaIYdffcmExMTpf19/vnnBvdHROWLndRE1ZRm0dC7d2+97f74449inb6aDh06JG07d+6cwdcbNGiQACDat2+vtU2zg9TQdHpCGC6M7t+/L+zt7QUA0bZtW503RA1Rdz4PGDDAYLsLFy7oLQA1O6n/8Y9/6N3HV199JbU7e/as1nZTb1RVxntgCnM7qWfMmCHlM2zYMINTfGp2UkdEROhtt2XLFqldyaky16xZI2374osvjOZsCDupiYiIipYiUX8eJiQkaG0vj1pU87N98eLFevexadMmqd0nn3xSbJs5NUBaWpqQy+UCgNi1a5fBttOnTxcAhLu7u9Y2zU5qfdNMCiFEu3btpAcTdTG1k3fUqFECgPD399f7QKcQRbW1ehr1kg85atY7vr6+pa67zclfV9tbt25JDzTY2tqKHTt2mBSv7/pU69GjhwCKlvvJzMwstu3111+XHm64efOm0ZwNYSc1ERFR+VOpVNKSMlOnTjXYds+ePVJtkJKSIoQo6nhWD3jw8PDQO6W2PuopwmUymUhMTCxVrPphOTs7O62BFiUFBAQIAGLo0KFa29THZGdnJ/7++2+d8bm5udIye1OmTNHaXtZO6lGjRhlsK4ThjmRzzp+xfZemkzouLk5qu2nTJp1tIiMjBQChUCj0DiAioophBSKq9gxNwRgQECBNJ/jrr78W2xYdHQ0A8PPzk6YX1Kdjx44AiqaTLigo0NmmUaNGeOONN0zOu6Tff/8deXl5AIBJkyZBLpebHJubm4uDBw8CKJqOxpCmTZvCzc0NAHD8+HG97YYNG6Z3W9u2baXvU1NTTc6zpKr2HphLpVJhzJgxWLJkCQAgIiIC33//PaytTVtdwtC1/NZbb8HFxQWA9rX8yy+/AAAcHBwwevToMmRORET04nr69CmuXbuGCxcuIDk5GcnJyRBCSNvPnj1rML6staj6Z5lMJk1BqMvAgQOlKbbLswbYvXs3CgsLYW9vjx49ehhsq67DMjIycO3aNZ1tXFxc0KtXL737UNeP5tSOAKRpywcMGGBwakQXFxepvjRU8w4ePLhUdXd5S09PR4cOHXD27Fk4Ojpiz5496N+/v0mxSqWyWF1ekvq6KigokP5WAIqmeT9x4gSAouN3d3cvc/5ERERUMS5cuIC//voLgPF7fepaDfhf3XPmzBncuHEDQNGSfo6Ojia/tkqlwt69ewEAwcHBaN26dalyV9/vCwoKQp06dUzK3VC91rVrV2kK65Jq1qwJHx8fAObXmZoM3Rc1xtzzV546duwIX19fAP+b0ltTfn4+Nm/eDKBoOnn1PWMisgx2UhM9B0quJVJSQEAAACAlJQX5+fnS7xMSEgAAly5dgkwmM/gVEREBAHj27Bnu3bun83VatGhh1nGcPn1a+r60Ha2nT5+GSqUCAAwZMsTo8dy5cwcAcOvWLb37fOWVV/Ruq127tvT9gwcPSpWrpqr2HpijoKAAQ4YMwddffw0AmD17NlasWGHyujIKhQItW7bUu93GxkYqatVrlqupr522bdvC3t6+LOkTERG9UB49eoRFixahZcuWcHBwgKenJ5o1awalUgmlUlnsRpK6btKnrLVocnIyAMDb29vgzTuFQiHlo45RM6cGUNdheXl5sLa2NliH9e7dW4rTVz/6+PjAykr/n9jq+tGc2vHq1au4ffs2AGDmzJlG60f1MRqqeSuzfvzzzz8RGBiIK1euwNXVFb/99hs6depkcryp1x5QvH48c+aM9CBGZT7gSURERPqp6xgAeP311w3WPJod0Oq6x5z7jGlpacjOzi5TrGbu+/fvN1qvLV26tFjeuhi6RwmUT51Zkjk1ornnr7y9++67AIoGSF29erXYtujoaNy9excADD44S0QVg53URM8BfU/SqdWrVw8AIITA/fv3pd9nZWWV6fXUo51LqlWrVpn2p6Z5A7RBgwalii3vYwFg8Ean5g3IwsLCMr02UPXeA3PcvHkTW7duBQD07NkT8+bNK1V87dq1jY7iUV/LJTvp1ddOaa8bIiKiF1F6ejqUSiVmzZqFc+fOGa1lHj9+bHB7WWtR9ee5sXgAqF+/frEYNXNqgPKuw4x1kqvrR/WDlWVRETVvZdaPW7duRUZGBgBg9erVxTqVTWHqtQcUv3bM+buDiIiILMPcusecz3tza4Wy5G6o5ja1zjTnHmVJ5tSIVa3WCgsLg42NDYQQ2LhxY7Ft69atAwA0bNgQ3bt3r4z0iF5ops2/SkRVmqkjVUtSFy4tW7bEpk2bTI5r2LChzt9X5jSBmkXYmjVr0L59e5PiKvOmHPB8vQf16tXDyy+/jKNHj2LPnj347LPPMHXqVJPjy3odExERUekMHz4caWlpkMlkGDlyJN5++200bdoUderUgUKhgEwmg0qlkuoKzam/dTH3M7yyagB1Hebm5obY2FiT47y9vSsqJaM0a96PP/4YAwcONCnOwcFB77bKrB+7d++OI0eO4NGjR4iIiECzZs3w6quvmhzP+pGIiOj5pVn37Nq1C15eXibFmfIAZEVT596jRw988sknlZxN2VRmjVje6tWrh969e2PHjh3YsGEDPvroI8hkMmRkZCAmJgYAMGLEiOfqmImqC3ZSEz0H/v77bzRq1MjgdqDoJo5mp6yrqysA4OHDh2jevHnFJmkCzTU/MjMzS3UDUH0sQNHThVXheExR1d4Dc9jZ2WHv3r3o1q0bTpw4gWnTpkEul2Py5Mkmxd+9exeFhYUGC0L1taw53TpQdO3cuHEDmZmZZc6fiIjoRXDx4kUcOXIEADBr1izMnz9fZzt9S4voUtZaVP15rt5uiHr6w/KsAdR12IMHD9C0adNqcVNKs+a1sbGp9vVju3btMHPmTPTs2RNZWVno3LkzDh48CD8/P5PijV07mts1r52Sf3cQERFR1aNZ97i4uJS67in5eW9symxDsaXl6uqKjIwM5OfnV/t6rSyqYq313nvvYceOHUhLS0NcXByCg4Px3XffSQ8UjBw5spIzJHoxcbpvoudAfHy8Sdt9fHygUCik36vX9ktNTTW47omltGnTRvr+0KFDpYpt1aqVNJLi6NGj5ZpXWZg6qqOqvQfmqlmzJvbt2yetDzhlyhR8+eWXJsXm5+fj7NmzercXFBTgzJkzAKBV4KuvnYSEBIPTWRIREb3ozp8/L30/ePBgve001wA0pqy1qPrzPC0tTVpnWZdnz55JawqWZw2grsOePn1aquOtTE2aNIGzszOAqlHzloegoCDs2rULNWrUwK1btxASEoLLly+bFGvqtQcUv3Zat24t1eul/buDiIiILENdqwFlq3vMuc/o7e0NFxeXMsUC/8s9ISEB+fn5pY4vT5Ux84y558+YshzTm2++CQ8PDwDA+vXri/37xhtvwMfHp/wSJCKTsZOa6DlQci0NTfHx8UhOTgYAdOnSpdi2vn37AiiawnH58uUVl6CJQkJCpKkIV6xYUap1VOrUqYN27doBADZv3mzwRqcl2NnZASi66WlIVXsPyoOzszNiYmLQtm1bAEBkZCRWr15tUqyha3nHjh3SOpYlr+U+ffoAKFp3aO3atWVJm4iI6IVQUFAgff/o0SO97b766iuT91nWWlT9sxBCukGky7Zt25CTk6NzH+bUAH369JFucH3xxReliq0IptSPcrkcPXv2BADExMTgzz//tEhuFa1Tp07YuXMn7OzskJmZiZCQEPz1119G45KSkqQHGHRRrzEol8sRHBws/b527drS8kCa62ITERFR1dGmTRupU3Ht2rV48uRJqeJbtmwpzfbzzTff4OHDhybHWllZoVevXgCAuLg4g/WGLur7fTk5OQbrXEtQ15iA8fuU5cXc82dMWY7JyspKGi29bds27Nu3DykpKQCAUaNGlWt+RGQ6dlITPQeio6OxdetWrd8/fPgQY8eOBVD0Qaz+Xq1bt24ICAgAAHz66ac696EpKSkJu3btKqestbm4uEg5njp1CpMnT9a7BuKzZ8+QlZVV7HezZ88GAOTm5iI0NBTZ2dl6X+vp06dYuXJlqQtcUzVo0AAAkJWVhQcPHuhtV9Xeg/Li4uKCAwcOSE+OTpw4EV9//bXRuNWrV0tTkGq6desWpk2bBqBoOvewsLBi29955x1pne7/+7//Q1xcnN7XuHHjhsnHQURE9LzRHCGwYcMGnW1Wr16NnTt3mrzPstai/fv3h7u7OwBgwYIFSEpK0trH9evXi9UAJafhM6cG8PPzk9Z0/s9//oNly5YZPM60tDT8+OOPBtuYQ10/GuucnTlzJuRyOVQqFUJDQw3WNoWFhfjhhx+qRf3TtWtX/Pe//4WtrS1u3ryJkJAQpKamGo0bM2aMzgcuNm/ejD179gAoutbU51dtxowZAIoecBg4cKD0IIQu1eH8ERERPW+srKwwa9YsAEUzEI4YMcJgh2Rubm6x2fysrKzw4YcfAij6LB8xYoTeUc0qlUrrobVp06bBysoKQgi8/fbbBuuBktvCwsKkDvJp06YZHU185MgRg3WsOTRrIFMeAiwv5pw/Y1xdXaUZmkpzTKNGjYJMJkNeXp70d0XNmjWlvwmIyPK4JjXRc8Df3x9Dhw5FXFwcQkND4eTkhHPnzmHJkiW4dOkSgKJOwhYtWmjFbt68GQEBAbh37x4GDx6MTZs2YfDgwfDx8YFcLkdWVhZOnz6NXbt24cSJE5g6dao0YqUizJs3DwcOHEBSUhK+/PJLHD9+HGPHjoVSqYRCocCNGzdw+PBh/Pjjj5g/fz7Cw8Ol2J49e+L999/H8uXLcejQITRt2hTjxo1Dhw4d4OrqikePHuHKlSs4fPgwtm/fjvv372t1dpYX9cgMlUqFcePGITIysth6LC+//LL0fVV7D8pLrVq1cODAAXTu3Blnz57F2LFjIZfL9T6dWKdOHdjb26Nr166YMmUKevbsCVtbW5w8eRILFy6U/liYN28e6tatWyzWzs4O33//Pbp164a8vDx06dIFw4cPR//+/eHh4YGnT5/i4sWL2LNnD6Kjoy325CgREVFV07p1azRv3hzJyclYs2YN7t+/j+HDh6NBgwa4ceMGNm3ahG3btiEwMNDkaRXLWosqFAqsXbsWffr0QW5uLgIDA/Hhhx+ic+fOkMvlOHbsGBYvXiw9mLh06dJi9RRgfg2wevVqJCQkIDU1FVOnTsXOnTsxYsQINGvWDLa2trh79y7Onj2Lffv24ffff8dbb72FIUOGlPX0G9S+fXukpaUhOjoaa9asQWBgoDRKxMnJSap/lEolli5diilTpuDChQto3rw5xowZg06dOqFevXp48uQJ0tPTcfz4cWzbtg2ZmZlISkqSRiJVZd27d8f27dvx1ltv4fr16+jUqRPi4uLg6emps72/vz8SEhLg7++PGTNmQKlUIicnB9u2bcOaNWsAFN14XLp0qVZsnz598O677+Lbb7/FsWPH8OqrryIiIgKBgYFwcnLCnTt3kJCQgC1btqBly5Z6H+ogIiKiijNu3DgcOHAAO3bswE8//YTExESMHTsWAQEBcHZ2Rm5uLi5evIiDBw8iOjoadnZ2iIiIkOInTpyIXbt2SftQKpWYMGEC/P39YW9vj1u3buHEiRP48ccfMXToUERFRUmxrVq1wty5c/HRRx8hJSUFSqUSEydOREhICFxdXZGdnY0zZ85g+/btkMvliI2NlWJtbW2xdetWBAcH4+HDh+jUqRPefvtt9O/fH97e3lCpVMjMzMSpU6ewY8cOJCUlYcWKFQgKCir3c9i4cWN4eHjgxo0bWLp0KTw8PODn5we5XA4AqFevHmrWrFnur2vO+TPG2toar732Go4ePYp169ahdevWaNWqFWxsbAAUzZpTu3ZtrTgvLy906dIFBw4ckJZdHDRokDSzJxFVAkFE1dKcOXMEAAFApKamCm9vb+nnkl8DBgwQz54907uvS5cuiebNm+uN1/yaO3euVrynp6cAIMLCwozmHRsbK+0rNjZWZ5vbt2+Ljh07Gs1l/fr1WrEqlUrMnTtXWFtbG413cHAQeXl5xeLXr18vbU9LS9N7HGlpaQbzKCwsFO3atdP72iVZ8j0wRVhYmAAgPD09zW57+/ZtoVQqBQBhZWUlNm7cqDc+Pj5euLm56T32SZMmGcxl3759olatWkbPoSGmXKNERETV2enTpw1+XiqVSpGRkSH9PGfOHK19lGctumHDBmFra6s3Xi6Xi4ULFxo8JnNqgMzMTPHGG2+YVIeNHDlSKz4oKEgAEEFBQQZz1Dxnupw+fVrvedBV461du1bY29sbzVmhUIjLly8Xi62IesfQ9VLattHR0cLGxkYAEN7e3uLatWt64zXPa8kvJycncfDgQb15FBQUiIiICCGTyQyeQ2M1dmlqZyIiIiqd/Px8MX78eKOf1+q6oaRHjx6J0NBQo7H66pIFCxYYvc+orw48fvy4aNSokUl1Zsn7ZUKYXl8Zq0dXrVql93U172saq1dLMuV+ZFnPn7F9//LLL3qvCUPna8uWLcXaHj161KRjJaKKwem+iZ4D3t7eOHXqFGbNmoWmTZvC3t4ezs7O6NixozQaxtpa/8QJvr6+OHPmDDZv3owBAwagcePGqFGjBhQKBRo0aIDg4GDMnj0bp06dwscff1zhx+Pm5oa4uDhs374doaGh8PDwgK2tLezs7NCkSRMMHDgQP/zwg85RLDKZDB9//DFSUlIwffp0+Pv7o3bt2pDL5ahZsyZeffVVDBs2DBs3bkRmZiZq1KhRIcdgZWWFmJgYzJ49Gy1btoSjo6O05qEuVe09KE9ubm747bff0KxZM6hUKowcORI//PCDzrb+/v5ITEzEpEmT8NJLL8HOzg6urq548803sWfPHqPrdnfv3h2pqalYuHAh2rdvD1dXV8jlcjg5OaFNmzaYPHkyTp48WRGHSUREVG20atUKZ86cwbhx4+Dp6QkbGxvUrl0bAQEBWLp0KU6ePKk1NbIh5taiYWFhuHjxIt5//300bdoUDg4OqFGjBl566SWMHj0ap0+fxsyZMw3mYE4NUL9+fRw6dAi//PILhg0bhiZNmsDe3h42NjaoU6cO2rdvj6lTpyIuLk5a47gitGrVCsePH8eQIUPQuHFj2NraGmw/evRopKamYu7cuQgMDISbmxusra3h4OAAX19fDBgwAF999RVu3rxZbBaf6qBPnz7YunUrbGxskJaWhpCQEL3TQEZFRWHfvn3o1asX6tWrB4VCAS8vL0yYMAHnz583OCJJLpdjxYoVSEhIwJgxY+Dr6wsHBwfY2Nigfv366NatG5YtW6ZzJDYRERFZho2NDVatWoWzZ88iMjISSqUSzs7OkMvlcHZ2RqtWrfDuu+9i27Zt+PPPP7Xi7e3t8dNPP+H333/H8OHD4e3tLd1za9SoEfr06YM1a9Zg6tSpOl9/1qxZuHDhAiZPnozmzZvDyckJ1tbWqFOnDoKCgjB//nx8//33OmPbtWuHy5cv46uvvkKvXr3g7u4OhUIBOzs7NGrUCN26dcOCBQtw8eJFjBgxolzPm6bx48fj559/Rrdu3VC3bl2DtXl5M+f8GdKrVy/89ttv6NevH9zd3aVR1Mb0798fjo6OAIBXXnlFmg2TiCqHTAg9C74SUZUWFRWFuXPnAoDedZuJyio8PBwbN26Ep6cn0tPTn5vXMsXBgwcREhICAIiNjUVwcHDlJkRERFQFsRalktQPZM6ZM6fYVJnV/bVMUdXqWSIiIiLS7fLly/D19QUALFmyBNOnT6/kjIhebFyTmoiI9Hr27BmSk5Oln/38/Ex+MrE6ycrKkta7TEtLq+RsiIiIiKqvrKwsqX50cHCAt7d3JWdUMVJSUpCfnw8AyM7OrtxkiIiIiMgk6pmRrK2tK3T0OhGZhp3URESkV0ZGBpRKpfRzWloavLy8Ki+hCrJq1SppNBgRERERld3q1auxevVqAEBQUBAOHjxYuQlVkG7duuHq1auVnQYRERERmSg7Oxtr164FUDTtd/369Ss5IyJiJzURERERERERERERERE9V7KyspCbm4uMjAxERUXh3r17kMlkmDlzZmWnRkRgJzUREemwYcMGbNiwobLTsJioqKgqsZ4hERERUXX1oq1NzrWniYiIiKq+6dOnY+PGjcV+N2HCBLRp06aSMiIiTeykJiIiIiIiIiIiIiIioueSQqHASy+9hNGjRyMyMrKy0yGi/08mXrTHnYmIiIiIiIiIiIiIiIiIqNJYVXYCRERERERERERERERERET04mAnNRERERERERERERERERERWQw7qYmIiIiIiIiIiIiIiIiIyGLYSU1ERERERERERERERERERBbDTmoiIiIiIiIiIiIiIiIiIrIYdlITEREREREREREREREREZHFsJOaiIiIiIiIiIiIiIiIiIgshp3URERERERERERERERERERkMeykJiIiIiIiIiIiIiIiIiIii2EnNRERERERERERERERERERWQw7qYmIiIiIiIiIiIiIiIiIyGLYSU1ERERERERERERERERERBbDTmoiIiIiIiIiIiIiIiIiIrIYdlITEREREREREREREREREZHFsJOaiIiIiIiIiIiIiIiIiIgshp3URERERERERERERERERERkMeykJiIiIiIiIiIiIiIiIiIii2EnNRERERERERERERERERERWcz/A6s01tY+Z+XBAAAAAElFTkSuQmCC", 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" ] }, "metadata": { "image/png": { "height": 371, "width": 980 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4), sharey=True)\n", "\n", "axes[0].hist(peris.to_value(u.kpc), bins=np.linspace(20, 80, 32))\n", "axes[0].set_xlabel(\"pericenter [kpc]\")\n", "\n", "axes[1].hist(apos.to_value(u.kpc), bins=np.linspace(60, 140, 32))\n", "axes[1].set_xlabel(\"apocenter [kpc]\")\n", "\n", "axes[2].hist(eccs.value, bins=np.linspace(0.3, 0.5, 41))\n", "axes[2].set_xlabel(\"eccentricity\")" ] } ], "metadata": { "jupytext": { "encoding": "# -*- coding: utf-8 -*-" }, "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": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 5 }