{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.006327, "end_time": "2026-06-30T01:16:46.737199+00:00", "exception": false, "start_time": "2026-06-30T01:16:46.730872+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Introduction to Potentials\n", "\n", "galpy provides a large library of gravitational potentials. This notebook covers how to\n", "initialize potentials, evaluate them, combine them, and compute useful dynamical quantities.\n", "\n", "See also: [Potential Wrappers](wrappers.ipynb) for time-dependent and rotating potentials,\n", "[SCF and Multipole Expansions](scf_and_multipole.ipynb) for basis-function representations,\n", "[Dissipative Forces](dissipative.ipynb) for working with dissipative forces such as dynamical friction, \n", "[Milky Way Potentials](milky_way_potentials.ipynb) for pre-built MW models, [N-body snapshots](nbody_snapshots.ipynb) for working with N-body simulation data, and [Other codes](other_codes.ipynb) for info on how to use galpy potentials with a host of other codes." ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:46.748294Z", "iopub.status.busy": "2026-06-30T01:16:46.748057Z", "iopub.status.idle": "2026-06-30T01:16:49.063446Z", "shell.execute_reply": "2026-06-30T01:16:49.062615Z" }, "papermill": { "duration": 2.32273, "end_time": "2026-06-30T01:16:49.064832+00:00", "exception": false, "start_time": "2026-06-30T01:16:46.742102+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "from matplotlib import pyplot as plt\n", "from galpy import potential\n", "from galpy.potential import (\n", " MiyamotoNagaiPotential,\n", " NFWPotential,\n", " HernquistPotential,\n", " LogarithmicHaloPotential,\n", " MWPotential2014,\n", ")\n", "from galpy.util import conversion\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.004706, "end_time": "2026-06-30T01:16:49.075420+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.070714+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Initializing a potential\n", "\n", "Let's start by creating a Miyamoto-Nagai disk potential. In galpy's natural units,\n", "velocities are normalized to the circular velocity at the Sun, and distances to the\n", "Sun's Galactocentric radius." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.089594Z", "iopub.status.busy": "2026-06-30T01:16:49.089184Z", "iopub.status.idle": "2026-06-30T01:16:49.094525Z", "shell.execute_reply": "2026-06-30T01:16:49.093422Z" }, "papermill": { "duration": 0.011643, "end_time": "2026-06-30T01:16:49.095126+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.083483+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "MiyamotoNagaiPotential with internal parameters: amp=1.4632953564490085, a=0.5, b=0.0375 and physical outputs off" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=1.0)\n", "mp" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.004557, "end_time": "2026-06-30T01:16:49.104799+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.100242+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Evaluating potential values and forces\n", "\n", "Evaluate the potential at (R, z) = (1, 0), i.e., the solar position in natural units. Calling the potential object directly returns the potential value:" ] }, { "cell_type": "code", "execution_count": 3, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.115450Z", "iopub.status.busy": "2026-06-30T01:16:49.115241Z", "iopub.status.idle": "2026-06-30T01:16:49.119053Z", "shell.execute_reply": "2026-06-30T01:16:49.118194Z" }, "papermill": { "duration": 0.010152, "end_time": "2026-06-30T01:16:49.119704+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.109552+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phi(R=1, z=0) = -1.2889062500000001\n" ] } ], "source": [ "# Potential value at (R, z) = (1, 0)\n", "print(\"Phi(R=1, z=0) =\", mp(1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "9fb04a61", "metadata": { "papermill": { "duration": 0.004502, "end_time": "2026-06-30T01:16:49.128955+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.124453+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Warning**\n", "\n", "galpy potentials do *not* necessarily approach zero at infinity. To compute, for example, the escape velocity or whether or not an orbit is unbound, you need to take into account the value of the potential at infinity: $v_{\\mathrm{esc}}(r) = \\sqrt{2[\\Phi(\\infty)-\\Phi(r)]}$. If you want to create a potential that does go to zero at infinity, you can add a `NullPotential` with value equal to minus the original potential evaluated at infinity.\n", "\n", "
\n", "\n", "
\n", "\n", "**Tip**\n", "\n", "Potentials can be initialized and evaluated with arguments specified as astropy Quantities with units. Use the configuration parameter `astropy-units = True` to get output values as a Quantity. See the section on [initializing potentials with physical parameters](#Initializing-potentials-with-physical-parameters) below.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "5eb10c7e", "metadata": { "papermill": { "duration": 0.004493, "end_time": "2026-06-30T01:16:49.138055+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.133562+00:00", "status": "completed" }, "tags": [] }, "source": [ "To evaluate the forces, use the `Rforce` and `zforce` methods:" ] }, { "cell_type": "code", "execution_count": 4, "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.148531Z", "iopub.status.busy": "2026-06-30T01:16:49.148325Z", "iopub.status.idle": "2026-06-30T01:16:49.151978Z", "shell.execute_reply": "2026-06-30T01:16:49.150949Z" }, "papermill": { "duration": 0.009904, "end_time": "2026-06-30T01:16:49.152607+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.142703+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_R(R=1, z=0) = -1.0\n", "F_z(R=1, z=0.1) = -0.5194918992748312\n" ] } ], "source": [ "# Radial and vertical forces\n", "print(\"F_R(R=1, z=0) =\", mp.Rforce(1.0, 0.0))\n", "print(\"F_z(R=1, z=0.1) =\", mp.zforce(1.0, 0.1))" ] }, { "cell_type": "markdown", "id": "f20c0304", "metadata": { "papermill": { "duration": 0.004667, "end_time": "2026-06-30T01:16:49.162122+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.157455+00:00", "status": "completed" }, "tags": [] }, "source": [ "The azimuthal torque can be computed with the `phitorque` method:" ] }, { "cell_type": "code", "execution_count": 5, "id": "0dd3756f", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.172920Z", "iopub.status.busy": "2026-06-30T01:16:49.172712Z", "iopub.status.idle": "2026-06-30T01:16:49.176255Z", "shell.execute_reply": "2026-06-30T01:16:49.175347Z" }, "papermill": { "duration": 0.009755, "end_time": "2026-06-30T01:16:49.176825+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.167070+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N_phi(R=1, z=0) = 0.0\n" ] } ], "source": [ "print(\"N_phi(R=1, z=0) =\", mp.phitorque(1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "papermill": { "duration": 0.004549, "end_time": "2026-06-30T01:16:49.186261+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.181712+00:00", "status": "completed" }, "tags": [] }, "source": [ "## The functional interface\n", "\n", "galpy also provides module-level functions that work on single potentials or lists of potentials:" ] }, { "cell_type": "code", "execution_count": 6, "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.196656Z", "iopub.status.busy": "2026-06-30T01:16:49.196443Z", "iopub.status.idle": "2026-06-30T01:16:49.200653Z", "shell.execute_reply": "2026-06-30T01:16:49.199712Z" }, "papermill": { "duration": 0.010394, "end_time": "2026-06-30T01:16:49.201301+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.190907+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "evaluatePotentials: -1.2889062500000001\n", "evaluateRforces: -1.0\n", "evaluatezforces: -0.5194918992748312\n", "evaluatephitorques: 0.0\n" ] } ], "source": [ "print(\"evaluatePotentials:\", potential.evaluatePotentials(mp, 1.0, 0.0))\n", "print(\"evaluateRforces:\", potential.evaluateRforces(mp, 1.0, 0.0))\n", "print(\"evaluatezforces:\", potential.evaluatezforces(mp, 1.0, 0.1))\n", "print(\"evaluatephitorques:\", potential.evaluatephitorques(mp, 1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "papermill": { "duration": 0.004666, "end_time": "2026-06-30T01:16:49.211113+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.206447+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Combining potentials\n", "\n", "Potentials can be combined using the `+` operator. `MWPotential2014` is a built-in\n", "composite potential with three components:" ] }, { "cell_type": "code", "execution_count": 7, "id": "b118ea5561624da68c537baed56e602f", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.221960Z", "iopub.status.busy": "2026-06-30T01:16:49.221745Z", "iopub.status.idle": "2026-06-30T01:16:49.225532Z", "shell.execute_reply": "2026-06-30T01:16:49.224740Z" }, "papermill": { "duration": 0.010236, "end_time": "2026-06-30T01:16:49.226118+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.215882+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CompositePotential of 3 potentials:\n", "\tPowerSphericalPotentialwCutoff with internal parameters: amp=0.029994597188218296, alpha=1.8, rc=0.2375\n", "\tMiyamotoNagaiPotential with internal parameters: amp=0.7574802019371595, a=0.375, b=0.035\n", "\tNFWPotential with internal parameters: amp=4.852230533527998, a=2.0\n", "and physical outputs off\n" ] } ], "source": [ "print(MWPotential2014)" ] }, { "cell_type": "markdown", "id": "b454a60b", "metadata": { "papermill": { "duration": 0.004772, "end_time": "2026-06-30T01:16:49.235864+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.231092+00:00", "status": "completed" }, "tags": [] }, "source": [ "You can also combine potentials yourself using the `+` operator:" ] }, { "cell_type": "code", "execution_count": 8, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.246776Z", "iopub.status.busy": "2026-06-30T01:16:49.246548Z", "iopub.status.idle": "2026-06-30T01:16:49.250471Z", "shell.execute_reply": "2026-06-30T01:16:49.249850Z" }, "papermill": { "duration": 0.010759, "end_time": "2026-06-30T01:16:49.251470+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.240711+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phi(1,0) = -4.498828040219292\n" ] } ], "source": [ "# You can also combine potentials yourself\n", "my_pot = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.6) + NFWPotential(\n", " a=4.5, normalize=0.35\n", ")\n", "print(\"Phi(1,0) =\", my_pot(1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "39789e1f", "metadata": { "papermill": { "duration": 0.004722, "end_time": "2026-06-30T01:16:49.261173+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.256451+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Tip**\n", "\n", "To simply adjust the amplitude of a Potential instance, you can multiply the\n", "instance by a number or divide it by a number. For example,\n", "`pot = 2. * LogarithmicHaloPotential(amp=1.)` is equivalent to\n", "`pot = LogarithmicHaloPotential(amp=2.)`. This is useful if you want to quickly\n", "adjust the mass of a potential.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "504fb2a444614c0babb325280ed9130a", "metadata": { "papermill": { "duration": 0.004631, "end_time": "2026-06-30T01:16:49.270758+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.266127+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Physical units\n", "\n", "The easiest way to work with physical units in galpy is to initialize potentials with\n", "the `ro=` and `vo=` parameters. When these are set, output is automatically returned\n", "in physical units. You can toggle this behavior with `use_physical=True/False` or\n", "with the `turn_physical_on()` and `turn_physical_off()` methods." ] }, { "cell_type": "code", "execution_count": 9, "id": "59bbdb311c014d738909a11f9e486628", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.281751Z", "iopub.status.busy": "2026-06-30T01:16:49.281532Z", "iopub.status.idle": "2026-06-30T01:16:49.292920Z", "shell.execute_reply": "2026-06-30T01:16:49.292003Z" }, "papermill": { "duration": 0.017727, "end_time": "2026-06-30T01:16:49.293573+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.275846+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ(R=8 kpc): 220.0 km/s\n", "F_R(R=8 kpc): -6.187408598526455 km/s/Myr\n", "\n", "F_R (natural units): -1.0\n", "F_R after turn_physical_off: -1.0\n" ] } ], "source": [ "# Initialize MWPotential2014 with physical scales\n", "ro, vo = 8.0, 220.0 # kpc, km/s\n", "MWPotential2014.turn_physical_on(ro=ro, vo=vo)\n", "\n", "# Now output is automatically in physical units\n", "print(\"v_circ(R=8 kpc):\", MWPotential2014.vcirc(1.0), \"km/s\")\n", "print(\"F_R(R=8 kpc):\", potential.evaluateRforces(MWPotential2014, 1.0, 0.0), \"km/s/Myr\")\n", "\n", "# Toggle physical output off temporarily with use_physical=False\n", "print(\n", " \"\\nF_R (natural units):\",\n", " potential.evaluateRforces(MWPotential2014, 1.0, 0.0, use_physical=False),\n", ")\n", "\n", "# Or turn it off entirely\n", "MWPotential2014.turn_physical_off()\n", "print(\n", " \"F_R after turn_physical_off:\", potential.evaluateRforces(MWPotential2014, 1.0, 0.0)\n", ")" ] }, { "cell_type": "markdown", "id": "c43dbd17", "metadata": { "papermill": { "duration": 0.004797, "end_time": "2026-06-30T01:16:49.303464+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.298667+00:00", "status": "completed" }, "tags": [] }, "source": [ "Alternatively, you can use the `galpy.util.conversion` module to manually convert\n", "from natural units to physical units. This is useful when you want to keep potentials\n", "in natural units but occasionally need a physical value:" ] }, { "cell_type": "code", "execution_count": 10, "id": "da6bed1f", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.314419Z", "iopub.status.busy": "2026-06-30T01:16:49.314175Z", "iopub.status.idle": "2026-06-30T01:16:49.318209Z", "shell.execute_reply": "2026-06-30T01:16:49.317268Z" }, "papermill": { "duration": 0.010458, "end_time": "2026-06-30T01:16:49.318838+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.308380+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_R at solar position: -1.0000 (natural), -6.1874 km/s/Myr (physical)\n" ] } ], "source": [ "# Manual conversion using galpy.util.conversion\n", "F_R_nat = potential.evaluateRforces(MWPotential2014, 1.0, 0.0)\n", "F_R_phys = F_R_nat * conversion.force_in_kmsMyr(vo, ro)\n", "print(\n", " f\"F_R at solar position: {F_R_nat:.4f} (natural), {F_R_phys:.4f} km/s/Myr (physical)\"\n", ")" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.004829, "end_time": "2026-06-30T01:16:49.328827+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.323998+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Densities\n", "\n", "You can evaluate the density directly or via the Poisson equation:" ] }, { "cell_type": "code", "execution_count": 11, "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.340138Z", "iopub.status.busy": "2026-06-30T01:16:49.339943Z", "iopub.status.idle": "2026-06-30T01:16:49.343608Z", "shell.execute_reply": "2026-06-30T01:16:49.342699Z" }, "papermill": { "duration": 0.010327, "end_time": "2026-06-30T01:16:49.344314+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.333987+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Density (direct): 1.1145444383277576\n", "Density (Poisson): 1.1145444383277574\n" ] } ], "source": [ "# Direct density evaluation\n", "print(\"Density (direct):\", mp.dens(1.0, 0.0))\n", "# Via the Poisson equation\n", "print(\"Density (Poisson):\", mp.dens(1.0, 0.0, forcepoisson=True))" ] }, { "cell_type": "markdown", "id": "be42db2b", "metadata": { "papermill": { "duration": 0.00489, "end_time": "2026-06-30T01:16:49.354450+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.349560+00:00", "status": "completed" }, "tags": [] }, "source": [ "The functional interface also works for densities of combinations of potentials, and so does\n", "the method version:" ] }, { "cell_type": "code", "execution_count": 12, "id": "c3933fab20d04ec698c2621248eb3be0", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.365436Z", "iopub.status.busy": "2026-06-30T01:16:49.365186Z", "iopub.status.idle": "2026-06-30T01:16:49.369005Z", "shell.execute_reply": "2026-06-30T01:16:49.367997Z" }, "papermill": { "duration": 0.010199, "end_time": "2026-06-30T01:16:49.369592+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.359393+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MWPotential2014 density at (1,0): 0.5750860312226487\n" ] } ], "source": [ "print(\n", " \"MWPotential2014 density at (1,0):\",\n", " potential.evaluateDensities(MWPotential2014, 1.0, 0.0),\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "id": "1b946c6b", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.381159Z", "iopub.status.busy": "2026-06-30T01:16:49.380828Z", "iopub.status.idle": "2026-06-30T01:16:49.385683Z", "shell.execute_reply": "2026-06-30T01:16:49.384932Z" }, "papermill": { "duration": 0.011695, "end_time": "2026-06-30T01:16:49.386391+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.374696+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/latex": [ "$0.10112001 \\; \\mathrm{\\frac{M_{\\odot}}{pc^{3}}}$" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MWPotential2014.dens(1.0, 0.0, ro=8.0, vo=220.0, use_physical=True, quantity=True)" ] }, { "cell_type": "markdown", "id": "f22e8533", "metadata": { "papermill": { "duration": 0.005071, "end_time": "2026-06-30T01:16:49.396679+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.391608+00:00", "status": "completed" }, "tags": [] }, "source": [ "## DoubleExponentialDiskPotential density\n", "\n", "Another example: an exponential disk potential, where we can compare the\n", "analytical density to that computed via the Poisson equation and we plot the density." ] }, { "cell_type": "code", "execution_count": 14, "id": "e97454cf", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.408136Z", "iopub.status.busy": "2026-06-30T01:16:49.407924Z", "iopub.status.idle": "2026-06-30T01:16:49.940180Z", "shell.execute_reply": "2026-06-30T01:16:49.939076Z" }, "papermill": { "duration": 0.538945, "end_time": "2026-06-30T01:16:49.940914+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.401969+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Relative difference: 1.342835711223921e-14\n" ] }, { "data": { "image/png": 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zUyiChgogAXHgwAEcOHAAY2NjuH379qIUQLx9Hj58iGPHjuH48eN48+YNAEBBQQFhYWHYs2cPzM3NqQCiAkikiMs+FgpJPz+FImioABIwi9kCNFWfwcFB5Ofn4+DBg+ju7ibt5ubm2LdvH0JDQ6csxDrbNeezX0GvKeg1BLmmKOYT9fz8Ii77WCgk/fwUiqChAkjAfG8CiJdz587h6NGjKCwsxPDwMABAXV0diYmJSElJwZo1a2Y1n6D2K+g1Bb2GINcUxXyinp9fxGUfC4Wkn59CETRUAAkY5oHeunULFy5cgL6+PnR0dCb1E2dR9K0+r169QkZGBlJTU/H48WMAE+fx9/fHvn374OjoyOovbAEkLmJH3IUNFUrfH5J0VgpF0FABJGCYB3rp0iW4uLjg48eP8PT0RGJiIhwdHYnwWcwCiGF0dBRVVVU4dOgQmpubSfvmzZuRnJyMnTt3Qk1NjQogIa65kPOJen5+EZd9iAJJOiuFImioABIwzAOtra3Fr3/9a5w9e5Z8tn79eiQkJCA6OhrLli2bNHaxCSBerl+/jiNHjuDUqVP4+PEjgIlCrNHR0di7dy+2bt064/i5rstvn9n0m+tYcRcsVAB9f0jSWSkUQUMFkIBhHuj169ehqqqKW7duITMzE/n5+fjw4QMAQElJCREREdi9ezc2bdpExoqLVWg+c338+BGnTp3CkSNHWIVYnZycSE4hGRmZSeNms8Zc+ixkP0GNm+9YYc61GNb9GnHZh7CRlHNSKLOFCiAB87UAAiaEzadPn1BUVITjx4+zhIGjoyMSExPh6enJqtDOsNgEENPG5XLR1taGQ4cOoaysDOPj4wAmcgolJSUhMTERGhoac1pjLn0Wsp+gxs13rDDnWgzrfo247EPYSMo5KZTZQgWQgJlOADFwuVx0dHQgLS0N1dXVRBhoa2sjPj4esbGxWLlyJem/WAUQL48fP8bRo0dZOYVkZWURFBSElJQU2NnZgcPhUAEk5LHCnGsxrPs14rIPYSMp56RQZgsVQALmWwKIgcPh4NGjRzhx4gSys7PR398PAJCRkYGvry92794Na2vrBbkWE9b8g4ODKCwsxNGjR3H+/HnyubGxMfbv34/IyEgoKip+cz5+1hSnfoIaN9+xwpxrMaz7NeKyD2EjKeekUGbLdy2ADh8+jD/+8Y948eIFjI2N8Yc//AHm5ubT9v/06ROys7Nx8OBB3Lx5E5WVlXB0dJzVmswD7e7u5jsP0NDQECoqKpCRkcESBlu3bkVycjKCg4NZyQYFLYq+nm+ulpjZjL169SpSU1Nx6tQpDA4OAgCWL1+OpKQkpKSkQFdXd17z8ztW2P0WSuwsNqEkzi9pcd6bIJGUc1IoDN+tAMrMzERycjKOHz8OW1tb/P73v8fJkydx/fr1KfPyAMDf/M3f4NWrVwgICEBISAgaGxvh4uIyq3XnIoAYpKSk0NPTg/T0dBQWFpIK7cuWLUNkZCQSEhKwbt2670IAMW1MIdbDhw+jr6+P7MfHxwd79uyBq6sra39UAAl/rDDnWsg15oo4702QSMo5KRSG71YAGRkZwdHREX/6058ATBT6XLVqFVJSUvAP//APM459/PgxVq9evSACiOHNmzfIyclBeno6STYIADt27EBSUhLc3NzmJAzETQAxjI2NobKyEgcPHkRLSwtpX79+PXbv3o24uDioq6tTASSCscKcayHXmCvivDdBIinnpFAYZiOAJr/FxZR3797h2rVrcHNzI21SUlLYsWMH2traFnBn/LN8+XL87Gc/Q0dHB9LT0+Hq6goAaGhoQHx8PGxtbfGf//mfePv27QLvVDBIS0sjICAA5eXl6Orqwv79+7FkyRLcu3cPf/d3f4ctW7bgz/7sz1j1yCgUCoVCEQWLRgA9ffoUAKCpqclq19TUxLNnzwS61tDQEAYGBlj/gAmLxkz/xsfHJ/2bqh+Hw4GbmxtOnDiB1tZW7N27F0uXLsXDhw/x448/Yvv27firv/ordHd3TzmnMP9xuVyB/mPm3bx5M373u9/h5s2b+I//+A+YmJjgy5cvyMjIgK2tLby8vEg9MkHvYaH+TYWwx/LLfPYhyDUWCnHZh7ARxdeZQlmsLBoBxPD11Y6UlJTAf4B/+uknLF26lPxbvXq1QOfnZd26dfj7v/97XLhwAb///e9hYGCAL1++IDMzE+7u7ggMDER+fj6GhoaEtgdRoqysjMTERLS0tKC2thahoaGQlpbGmTNnkJCQAENDQ/zjP/4jEbwUCoVCoQiDRSOAGMvPq1evWO2vXr2aZBWaL7/85S/x/v178u/Ro0cCnX8qFBUVsXPnTtTW1qKgoAD+/v6QkZFBV1cX/tt/+2+wsLDA7373O4FbuxYKDocDa2trHD9+HNeuXcMvfvELaGpq4vnz5/jpp59gYGCAuLg4NDc3079QKRQKhSJwFpUT9KZNm+Dv749//dd/JW16enqIjIzE73//+xnHCsIJ+sKFC1BRUQEwtRO0oNtevnyJnJwcnDhxAs+fPwcw4VfD5BSysrLiO9mguJTkmKqN+e/h4WGUlpbi6NGjaG9vJ59v2bIF+/fvR3R0NJSVlb85/1SIS0JGcRkraOdYYTvbioszr7jsQxRI0lkp3w/fpRM0APz85z9Hamoqmpub8eXLF/zDP/wDXr58if3795M+f/7nfw4rKyuh7SEzMxMdHR0isUqsXLkS/+N//A90dHTg4MGDsLa2xtjYGE6fPo2QkBB4eHjg5MmT+PTpk9D3Igrk5OQQHh6OqqoqtLe3Izk5GcrKyrh58yZ+/vOfY8uWLfibv/kb3L59e6G3SqFQKJRFzqKyAAHAjz/+iH/7t3/D+/fvsWnTJvzHf/wHPDw8yOcpKSk4e/Ysenp6AEwIln379oHL5eLz589QUFCAtLQ0fvWrX+FXv/oVX2syirK+vh4+Pj4YHh7G+vXrERMTg9DQUKIyBW0BmuovsBs3buDYsWOsnEIqKiqIiIhAYmIi9PX1pxy7GCxAU/H+/XuSU+j+/fuk3dXVFXv37oWvry+kpaWnHT/bvc2lz2z6ictYagGaG+KyD1EgSWelfD98t3mAeBkZGYGsrOyk9qGhIYyPj5PyC6Ojo0Qo8CInJzdlodKpYB5oVVUV0tPTUVJSgs+fPwMAFBQUEBAQQBx4v0bQAojp9/btW+Tm5uLEiRO4d+8e+dzBwQHJycnw9PRkCYPFKoAYxsfHUVdXh9TUVFa9tTVr1iAlJQUJCQlYsWLFtOOpABLcmqKYT9Tz84u47EMUSNJZKd8PEiGARAnzQDs7O6GiooJPnz6hvLwcOTk5uHXrFulnZWWF+Ph4uLm5QUZGBoDwBBDD+Pg4zpw5g4yMDNTU1BBhsHr1aiQlJSE6Ohpqamp8zTXdmgshgGZqe/jwIdLS0pCenk4KscrLyyM8PBz79++HqakpX/NNxVzEmTD6zXWsOAsbSUq+KC77EAWSdFaK+EMFkID5WgAB/xV+f/HiRWRmZqKmpgZjY2MAJnx3oqKiEBkZCS0trUnzCVIA8fZ7/PgxMjIykJWVhXfv3gGYsFAFBwcjMTFxkjBYrAKI4cuXLygoKMDhw4dx6dIl0m5paYmUlBSEhoaSemtUAAlvzYWYayHX4Adx2YcokKSzUsQfKoAEzHQCiJfnz58jNzcXOTk5JJOzjIwMvLy8EBcXBwsLC/KLQlgCiGFwcBDFxcVIS0vDjRs3SLuJiQkSExMRFBQEJSWlRS+AGLhcLrq6uvCnP/0JpaWlGBkZATBRby0xMRF79uyBnp7elGPnsjd+xs2331zHUgEkHi9jcdmHKJCks1LEHyqABAw/AgiYCFEfHh5GVVUVsrKycPHiRfKZvr4+4uPjERQUNCmUe7r55nNtxViourq6kJGRgbKyMgwPDwMA1NTUEBsbi6SkpElJHhejAOLl5cuXyMjIwLFjx0j+JikpKfj6+mL//v1wdnaecR4qgIQ3HxVA3yeSdFaK+EMFkIBhHuiZM2e+KYB4uXHjBnJycnD69GniiL106VKEh4cjJiYGa9asIX2FHUH29u1bklOIVxh4e3sjKSkJdnZ24HA4C2IVEsb8Y2NjqK6uxqFDh9DY2Eg+MzAwwL59+xAZGUkK2852b1Mh7v0ENW6+Y4U512JY92vEZR/CRlLOSVl4qAASMHMVQEy/gYEBFBYWIjMzk5VV2tHRETt37oSLi8uUEW2CFEBMn7GxMdTX1yM1NZVVRHbjxo1ITExEVFTUpG+axSiAeLl58yYOHz6M7OxskjNJVVUV0dHRSElJYUXvUQEk3LHCnGsxrPs14rIPYSMp56QsPFQACZj5CiCGsbExNDc3Izs7G62traRdV1cXsbGxCA8Px7Jly6YcO9u26QQQL7du3cLx48dRUFBAhIGSkhLCw8Oxa9cuIgwWuwBi2t69e4fMzEwcPXoUvb295DM7Ozvs378fAQEBk4SouAsbKoAW17pfIy77EDaSck7KwkMFkIBhHmhTUxNkZGRIMsWv4VecSEtLo6+vD6dOnUJBQQGpNi8vLw9/f3/ExcXBwMCA7zX48RWaaW8fP35EQUEB0tPTWVmWra2tkZycDB8fHxLWP9Oa/LZ9vRdBi52p4O3H5XLR3NyMtLQ0lJWVkei9VatWISUlBbt27RJKTqGF6rdQYmcxCSVxfkGL894EjSSdlSIcqAASMMwDbWxsxJ49e7B8+XJERkbC2dmZJQxmI4AYBgcHUVFRgaysLFbEloWFBXbu3AlPT0/Iy8vPON98BRADl8vF2bNnkZ6ejsrKSiIMdHR0EB8fj507d5LCs4tZAPG2PXv2DGlpaUhLSyOFduXl5REWFoY9e/bA3Nx8zhYrfvch7H5UAC38/PNBnPcmaCTprBThQAWQgDhw4AAOHDiAsbEx3L59G2lpaUhJSSHJBjU0NBAaGorQ0FBoamrOSQAxcDgcXLp0CSdPnkRNTQ1GR0cBAMuXL0dERAR27twJHR0doQog3rmePn2KEydOIDMzE/39/QAmwvr9/f2RlJRECrF+ax/iLoAYhoaGUFhYiIMHD7JyCpmamiIlJQURERFQUlISyj6E3Y8KoIWffz6I894EjSSdlSIcqAASMLxXYAMDAygqKkJxcTEr34+bmxt27twJExMT1g/xXHyFXrx4gfz8fOTm5uLFixfkc3d3dyQmJsLa2pq1hjAEEMOXL19QUVGB9PR0nD9/nrQbGRlh9+7dCA4OnrUwEEcBxEtXVxeOHj2KwsJCDA0NAZiI3ouLi8OePXuwceNGge5D2P2oAFr4+eeDOO9N0EjSWSnCgQogAcM80NraWpLDZ2xsDI2NjSgoKMCVK1dIXwMDA0RFRcHDwwPy8vJTip3pLEBT0djYiKysLJw9e5a0bd68GXFxcQgICJg2oaGgBBBvv56eHhw/fhxFRUVEGKipqSE6OhqJiYlYu3YtX/Px46AtKsfomejv70dmZiZSU1Px4MEDMsbLywv79++Hq6sr2bsohI2wHZ4XQuwI+oUnKUJJXPaxUEj6+SnTQwWQgJlKAPGKmNu3byM3NxfV1dUk2eDSpUsRFBSEiIgI6OrqsubjVwDx+hfduXMHmZmZKC0txeDgIICJUO7g4GDExsZiw4YNrLHCEEAMTCHW9PR09PX1kXFubm5ITEyEq6srOeNiFkBMH6YQ66FDh1BbW0s+27BhA5KTkxEXF4fly5d/cy5+15zPfgW9pqDXEOSaophP1PPzi7jsY6GQ9PNTpocKIAHzLQHE8OHDBxQVFSE/P59cXXE4HNjZ2SEyMhL29vaQlpaekwDiXWOqnEI2NjbYuXMnPDw8ICMjI1QBxPQbGxtDQ0MD0tLS0NLSQj5bvXo1du3ahZiYmCmFwWITQLzcuXMHR44cQWZmJj58+AAAUFRURGRkJPbu3QsTE5NZzTebflQAiX4+Uc/PL+Kyj4VC0s9PmR4qgAQMvwKIaRsdHUVbWxsKCgrQ0dFBPtfR0UFUVBTCwsL4SjY4lQBixAJTBT4rKwtNTU3EMVtLSwuxsbGIjo5miQ9h1x+7e/cuMjMzcerUKVYh1rCwMCQnJ8+YbHAxCSCm7ePHj8jNzcWRI0fQ09NDPrO2tsa+ffsQHBwMOTm5Oa05n/3yO9d8+glyLBVAc0Nc9rFQSPr5KdNDBZCAYR5oeXk5lJSUwOFwphRAUwmWp0+foqioCKWlpSTfj4KCAvz8/BAREYFNmzYB+LZjNMNU/Z4/f468vDzk5eWRiC05OTn4+/sjNjYWRkZGAi+1MZ1oGRwcRElJCY4dO4Zr166Rz2xsbJCUlARvb+9JwmCuoksUbd/qw+Vy0dHRgSNHjqCkpIRE761cuRLJycnYtWsXtLW1Z5xvKgQp2ObTT5BjxcWhWhjziXp+fhGXfYgCSTorZXqoABIwvALoxx9/hLa2NkJDQ7Fu3TpWv6kEECNYvnz5gurqapw6dYqVhdjExASRkZHw9PSclIV4thFkw8PDqKiowMmTJ1niY9u2bYiNjYWvry8UFBRmnF9Q2aeZQqzHjh1DRUUFySmkqamJnTt3Ii4uDqtWrZo0jt/5RdU2GyHy4sULHDt2DKmpqeQKVEZGBn5+fti3bx8cHBymPNdUUAEkuLGimE/U8/OLuOxDFEjSWSnTQwWQgGEe6IEDB/Bnf/ZnpN3U1BShoaFwdHSEjIzMjAKIgcvl4sqVK8jNzUVjYyMRBurq6ggNDUVYWBi0tLQAzC2EnneNzMxMVFdXY2RkBMBExFZYWBh27tyJNWvWCL0AK9OPySmUlZVFkg1KSUnBw8MDKSkpcHBwENtrsbkIkeHhYRQXF+Po0aOs6D2mEGt0dDQpqTIdVAAJbqwo5hP1/PwiLvsQBZJ0Vsr0UAEkYJgHWlhYiDt37qC0tBQdHR3E70ZdXR2BgYEICgpi1fICZrYKvXr1CiUlJSguLsbr16/JZ87OzoiKioKFhQVfwmAmUdTf34/CwkLk5ubi6dOnACZ+Ubi4uCAhIYFUgZ9pfkH5Dw0PD6O6uhonTpxg+Ubp6+sjOTkZoaGhM+YUWoyV6nt6epCamors7Gx8/vwZALBkyZIZcwrNZo259BFGv7mOFWdhI4oXqri8tMVlH8JGUs4pyVABJGCYB1pUVEScoN+8eYPy8nKUlZWRhIiysrJwcXFBcHAwtm7dCg6Hw5dViHGazsvLw4ULF0j7pk2bEBERAR8fH7LuXK1CANDS0oKsrCxWIdYNGzYgJiYGISEhUFVVFaoA4m27c+cOjh07hry8PCIM1NTUEBUVhfj4+Elh/bNZU5wEEMO7d++QlZWFI0eO4O7du+RzDw8PJCcnw8vLi/V1pAJIeGsuxFwLuQY/iMs+hI2knFOSoQJIwEwlgBhhMzIygubmZhQUFODWrVtkzMaNGxEaGgovLy+W3w0wcwRZb28vcnNzUVFRQZINKisrw9/fH5GRkVMKA34EEG+f+/fvIzMzE0VFRaQKvKKiIgIDAxEfH48tW7bMONd0bbMRQAzv379Hbm4u0tLSSE4hAHBycsKuXbtIWP9s1hRHAcTA5XLR0NCAP/3pT6ipqSHtq1evRlJSEnbt2gUNDQ0qgIS45kLMtZBr8IO47EPYSMo5JRkqgATMTAKIl9u3b6O4uBgNDQ0kIaKqqir8/f0REhJCnH75yQ79/v17VFRUoKCgAA8fPiTt1tbWiI6OhpOTExkzWwHE8PnzZ5SUlCArKwt37twh7RYWFoiLi4Onpyfk5OSEKoCYcUxm7YyMDNTX14P5ttTR0UFcXBzi4+NJIdZvrSnOAoi37e7du0hLS8OJEyeIFVFOTg7h4eH44YcfsH379m/Ox8+aoug317FUAInHC1lc9iFsJOWckgwVQAKGeaA5OTl4//49NDU1J1l1gP8SRQMDA6iurkZpaSmeP38OYOIHz8bGBiEhIbCysuJLoEhLS5Noqvz8fLS1tRG/I21tbURERCAwMHDKZINfzzfT1RmXy8X58+eRlZWF+vp6EsqtoaGBmJgYREdHY8WKFd+cb65tX/9S6uvrQ1ZWFrKzs/HmzRsAExXag4KCsHv3bmzbtm3G+QUpWvidfyr4XXNoaAhFRUU4fPgw6wrU2toaP/zwAwICAqbMKTTVfAslgIQtdsTFgVqSRNFUiPPeBImknPN7hAogAfF1NfjMzEz8/Oc/B5fLha+vL7y8vFji42ur0NjYGC5evIji4mKcO3eOtOvq6iI4OBje3t7kC8SPVejp06coLi5GSUkJ3r9/D2BCGHh6eiI8PBxGRkbkB3c2AoiXV69eITc3F7m5uSRiS1ZWFp6enti5cydxzBamAGL6DA0N4fTp00hLS2PVWzMzM0NiYiKphfY1i00A8bZ1dXXh0KFDKCoqItF7mpqaSExMRFJSElavXj3jfFQACXasMOdayDXmijjvTZBIyjm/R6gAEjDMA/3973+PH3/8kZRAkJaWhp2dHfz9/WFsbDwpjw/TBwAePXqE4uJiVFdXE6dfOTk5uLu7IywsbJLfDe/Yr9u+fPmCmpoa5OTksK6utmzZgujoaHh5eU0SBnPJKVRdXY2TJ0+yxIe+vj5iY2NZVeBnWmM+AoiBy+Xi4sWLSEtLQ3l5OREGy5cvx86dO5GQkIA1a9bMON9iEUAML1++RGpqKtLS0khOISkpKXh5eWHPnj1wc3ODlJQUFUBCHivMuRZyjbkiznsTJJJyzu8RKoAEDO8VmIyMDM6cOYOqqircuHGD9Fm3bh1CQkKwY8cOyMvLk/avRcbg4CAaGhpQUlLCSoi4bds2hIeHw9nZmViSvmUV4nK56O7uRmFhIWpra4nfEZPvJzIyct45hQDgxo0byM7OxunTp1mFWMPDwxEXFwc9Pb1pxwpCAPH2e/XqFbKzs5GRkcEK62eiqZycnAR6LbZQAohpGxkZQVlZGY4ePcqqt7Zx40bs378fsbGxUFVVFcjehN2PCiDxWWOuiPPeBImknPN7hAogAcM80OPHjxOrh6ysLO7fv4+qqio0NzeTiC1VVVV4enrC29sbWlpaUzpLy8jIgMvl4vr16yguLkZraytJiLhixQoEBgbCz89vSqff6UTRu3fvUFpaioKCAuJ3JC0tDRcXF0RERMDKyoqvl/tMQmlgYABFRUXIysoihVg5HA5cXFywc+fOKcWHIAUQb9vo6Cjq6uqQnp7OCuvftGkTkpKSEB4e/k1hIEgBNJ+2qZiq3507d5CamorMzExSVkVVVRVxcXFITk6Gvr7+dyGAFkLsiLMz9kLMPxvEaS+iRpLPLq5QASRgphNADB8/fkR9fT0qKirw8uVLABM/GObm5ggICIC5uTlLuHwtil6/fo2KigpWTiEmIWJwcDBMTU2n9e35uo3JKZSbm8tyqF23bh3Cw8MREBBAhMFsBRDD+Pg42tvbceLECZb4WL16NaKjoxEeHk58o4QlgHjH9vb2Ij09Hbm5ufj48SMAQElJCaGhoUhKSoKhoeF3IYCYtg8fPiAnJwcHDx5kXYE6Oztj79698PPzm1J4C2ofc+1HBdDimX82iNNeRI0kn11coQJIwPAKoIaGBujq6sLc3HzKF3lXVxfKy8tx+fJl0r5y5UriNL106dJprULDw8Nobm5GSUkJq5aXnp4ewsLC4OXlxbJqMEwnipicQpWVleTqSkFBAb6+voiOjoa+vv6kcfxelTFt9+/fR1ZWFoqKiohvFFOINSEhAcbGxt9cY74CiOHDhw/Iy8tDRkYGSxjY2NggOTkZ3t7eLOG6WAUQw/j4OJqamnD48GFUVVWRCEEdHR0kJSUhKSmJXIEKch9z7UcF0OKZfzaI015EjSSfXVyhAkjAMA/0d7/7HX71q19hbGwM2tra8PT0hJOTExQVFQGwrULPnj1DTU0NGhsbSbJBWVlZODk5ITAwEOvXr2et8bUD9b1791BRUYG6ujp8+fIFwIRVw9fXl5VTCJhaoPCKrE+fPqGmpgYFBQUkCzEAmJubIzo6Gs7OzmSO2QoghsHBQVRVVSE7O5sl3szMzBAfHw8PDw9yxrlck03XNp1Q6OjoQEZGBiorK8n1ora2NhISEhAbG4sVK1aIjQAShHjq6+vD8ePHkZ6eTsqqyMjIICQkBD/88AMsLS35nktQ/YQtRqhQWvj5+UVc9rFQSPr5RQkVQAKGVwDV19ejtbWVWFQUFRXh6OgId3f3SdXhgYm/0tva2lBeXo579+6RdkNDQ/j6+sLOzg6ysrJTRpDJyMgQ8VJcXIwnT54AmPhhsra2RlBQEKysrKbMEfO1lYnJKXT58mXk5uaiqamJCAMtLS2EhYUhODh4Ur4fZiw/bYxYuHLlCk6ePImqqiqSU0hTUxORkZGIjIyEtrb2lOPm0vYt69HTp0+RmZmJzMxMIgwYC9WuXbsm1VtbrAKIYXh4GKWlpThy5AirEKuZmRmSk5MRHh4OJSUlKoCoABIp4rKPhULSzy9KqAASMMwDPXjwIBQVFTE4OIizZ8+iuroaz549I/0MDQ3h5eUFS0tLImiY/+Vyubh16xbKysrQ0dFBxIeamho8PT0REBAADQ0N1rq8ImZ8fBznz5+flFNIS0sLwcHB8PX1ZRVinUoA8fLixQsUFhaisLCQ5BSSkZGBh4cHIiMjYWJiwrffEcPXYuHly5fIzc1FTk4O+vv7yTg3NzfExsbC1tYWHM78cgrxe33GRFOlpaXh0qVLpN3Q0BCJiYnTCoPFJoB4+1y+fBmHDh1CXl4eiRBctmwZKcT6tRXyW/PNth8VQKKfT9Tz84u47GOhkPTzixIqgATM1wIImBA24+PjuHbtGurq6nD+/HlSvkFNTQ3u7u7w9PScMpLr3bt3qKmpQVVVFcl0LCUlBVtbWwQEBBDxMZ2v0OPHj1FaWorKykridyMrKwtXV1eEhYXB0NDwmwKIafvy5Qtqa2uRn5+Pnp4e8tmmTZsQFRUFX19fqKioTDn2a6YTLcPDw6ipqUF2djbOnz9PPlu3bh3i4+MRFhY2aQ1hlt+4fPky0tPTUVJSQq4Xly5dipiYGCQlJZGw/tmsKY4CiOH169c4efIk0tLS8ODBA9LPw8MDe/fuhaen55Tn5HfN+exX0GsKeg1BrimK+UQ9P7+Iyz4WCkk/vyihAkjAMA/0X/7lX1BdXY2VK1eSqyuGN2/eoK2tDU1NTcSiIi0tDRsbG3h7e2Pjxo3kh4ARJ6Ojo+jq6kJVVRXLb2bNmjXw8/ODu7v7pJIbvMJmaGgIzc3NKCsrYxViNTAwQFhYGFxcXKb1u/l6LgC4efMmioqKUF1dTcL6lyxZgqCgIERERHzT74gfUXTnzh2cOnUKpaWlxDdKWVkZ4eHhiI2Nxdq1a6fdryDrjwET9dby8vJw/PhxUm+NEQa7d++Go6PjvH2RRN02U5+xsTHU1tbi8OHDqKurI5+vW7cOe/fuRXx8PJYuXfrN+aZCkIJtPv3mOlachY0oXp7i8oIWl32IAkk6qyihAkjAMA/017/+NX7zm9+Ay+VCWVkZ9vb2cHFxwcqVKwFMWGFGR0dx/vx51NbWsiKR1q5dC09PT9jb25OCqrw8e/YMFRUVaGxsZDk979ixA35+fiTT8XRWoZs3b6K4uBhNTU0kU/KyZcvg5+eHwMDASX43080lLS2NgYEBnD59Gvn5+Sy/I3t7e0REREwSf7xjv2Y6AfHp0ycUFxcjMzMT9+/fJ5/Z29sjNjYWO3bsmLQ/QQsgZuz4+DgaGxuRlpaG5uZm8vn69euRkJCAqKgoqKmpzXof4iaAeLl79y5SU1Nx8uRJvHv3DsDE91tERARSUlJgamo67dipoAJIePNRAfR9IklnFSVUAAkY5oH+9re/RVdXF1paWsjVFQBs3boVbm5uMDMzY70cHzx4gLq6OnR0dBBRoqysDFdXV3h5ebFECSMoPn36hPr6epSXl5OEhsBEpmh/f384ODhMEhq8QuHNmzcoLy9HWVkZcfqVkpKCvb09QkNDYW5uPskSxQvv3GNjY2hvb0dubi46OztJ+6pVqxAZGYng4GCWxWA2AohhfHwcZ8+exYkTJ9Dc3EyuEbW1tRETE4PIyEjimC0sAcTLvXv3kJaWhvz8fJJTSEFBAUFBQdi1axdMTU2/CwHE8OnTJ5w6dQqHDh1iZTa3tLTE/v37ERISMm0h1vmsO5s+s+k317FUAInHy1hc9iEKJOmsooQKIAHDewWmqKiI8fFx3Lx5E01NTejp6SEvbU1NTbi7u8PJyYkkTJSTk8OHDx/Q3NyMmpoakigRAExNTeHj44Pt27ezymcAE8Kgp6cHFRUV6OzsJDleNDU14e/vD29vbyI+pkt6197ejqKiIly8eJG0rVmzBiEhIfDx8Zl03QFMf7XV19eH/Px8lJaWEr8jeXl5eHt7IyYmBlu2bJmTAOJd89GjR8jJyUFeXh6xSsjKysLHxwcJCQkwMzObNJegBRDT7+PHjygqKkJ6ejquX79OPrewsEBycjL8/f1ZwmCxCiAGLpeL9vZ2pKamoqSkhFWIdffu3UhOTp7SijjfdakAEu1cC7kGP4jLPkSBJJ1VlFABJGCYB/qb3/wGjx49gpaWFrFKvH79Gq2trejo6CCh8fLy8rCxsYGzszPxaQH+S9Q0Njbi6tWrRDitXLkSXl5ecHZ2ZjkDM8Lm1atXqK6uRl1dHcvp2cnJCX5+flMWUuUVRX19fSgrK0NNTQ0pxKqkpARvb28EBQWx9vgtq9CXL19QXV2NgoIC3L59m7Rv374dkZGR2LFjB+t6jB9R9HWfoaEh1NTUICsri1WIddu2bYiNjYWvry8RjIKsSg9MLSjOnz+PjIwMnD59mgiDlStXIj4+HrGxsVi5cqXYWIUEMdeLFy9w7NgxpKWlESskk1MoJSWFRO/NZY259FnIfoIaN9+xwpxrMaz7NeKyD2EjKecUJFQACYgDBw7gwIEDGBsbw+3bt/G//tf/wj//8z9jeHgYpqamcHBwwIYNG8DhcDA0NIRLly6hsbGRFOkEgM2bN8PFxQXm5uas0PgXL16gvr4ezc3NRJTIysrCzs4O3t7eWL9+/SQxMjw8jLNnz6KsrIyV0HDz5s3w9fWFk5MTcZr+eqyMjAw+f/6M2tpaFBUVoa+vj3xmamqK4OBgODo6TnK6BqYXMVevXkVeXh7q6upIWL+6ujqCgoIQHh4OLS2tOQkg3j7Xrl3DiRMnWFXg1dTUEB4ejpiYGFbE1nTzz6bt6184vH1evnyJzMxMZGRkEEuejIwMfHx8kJSUNEkYLFYBxDA8PIyysjIcPHiQlVNo69atSElJQVRUFMlMTgWQcMcKc67FsO7XiMs+hI2knFOQUAEkYJgH+hd/8RfIz88nhUCBCV8VR0dHWFlZQVVVleT7aWpqwpUrV8jVlaqqKpycnODq6kqcpoEJi8qZM2fQ0NDAEiWbNm2Cn58fbGxsWBYVWVlZcLlc3Lx5ExUVFThz5gxJNqiiogIvLy/4+/uzIrYAtiDicrm4cOECSktL0d7eTvaooaGB4OBgBAYGklpewLcjvl6+fInCwkKUlJQQvyOmEGtMTMykZIOzEUAM/f39yM/PR05ODsm9xOFw4OLigvj4eDg4OJAxwhJADExOoePHj7PC+jdv3oxdu3YhIiICqqqqi14A8bZdvnwZhw8fRn5+PrF0qqioIC4uDnv37sXmzZv5mm8ufRayn6DGzXesMOdaDOt+jbjsQ9hIyjkFCRVAAoZ5oH/zN38DBQUFPH36FJcuXcLly5eJVUJBQQHW1tZwcHCAuro6gIl8P11dXWhvbyeh8VJSUjAzM8OOHTuI9QiYECh3795FfX09urq6iEVl6dKl2LFjB9zc3LBs2bJJ0VcDAwNoampCbW0tXrx4QdawtrZGQEAAjIyMwOFMn1Po5cuXqKioQHl5OfG7kZGRgYuLC0JCQmBoaMh3yDsANDc3Iz8/n+V3tGHDBkRGRsLX1xeKiopzEkBMv7GxMTQ3NyM7Oxtnzpwhn+np6SE2NhahoaFTftPPVRR9SyRdv34dJ06cQGFhIbHkqaioICoqCklJSZOSDQr6qoyfumrzEQVft719+xanTp1Camoq6wrUw8MD+/fvh7u7+6xyComzAFoosbPYhJI4v6TFeW+CRFLOyQ9UAAkYXgF048YNaGhoYMOGDRgcHMTFixfR0dFBMh1zOBwYGBjAzs4OW7Zsgby8PMbGxtDd3Y3m5mb09vaSeVevXg0XFxdYWVmxfH/ev3+P5uZmNDU1sarDW1hYwNvbe1J1cxkZGYyNjeHixYsoLy/H1atXyWd6enrw8fGBu7v7pPB7XlE0PDyM1tZWlJaWspx+t2zZguDgYOzYsYN1Pfat+mN3795FXl4eKisrSVi/qqoq/P39ERERwfI7mo0A4uX+/fvIyclBUVERqwp8cHAwYmJiWMVehSWAGD5+/IiCggIcP36c9TV2cXFBQkIC3N3dISMjs+gFENPG5XLR1NSEgwcPoqqqivizbdiwAcnJyYiNjWVZEYWxN2H3owJIfNaYK+K8N0EiKefkByqABAzzQH/+85/j//2//4fR0VGsWrUKNjY22LZtG2RkZHD79m2cPXuWlZBw+fLlcHR0hK2tLREfjx8/xpkzZ9DZ2cmyHjk4OGDHjh2sSBspKSmcP38eNTU1rHlXrVoFT09PODs7Q0lJaZJ159GjR6iqqkJDQwNJaKioqAhXV1f4+fkRq8R0VqFbt26hsLAQjY2NZI8qKirw9fVFcHAwdHV1vymAGD5//ozS0lLk5uaSnELARJh1ZGQknJ2dJ0XAMWf/mumE0qdPn1BaWooTJ06w6q2ZmZkhLi4OXl5efK8xVwHE9BsfH0drayvS0tJQX19PhMGqVatYhVi/NZ+4CyBe7t27hyNHjuDEiRMYGBgAMPE9HRoaipSUFHIFSgWQ8McKc66FXGOuiPPeBImknJMfqAASMMwD/dnPfoa2tjZcu3aNXFEpKCjAwsICtra20NbWxsuXL9HR0YFz584RXwkZGRmYmZnB2dkZa9asgby8PD5+/Ij29nY0Nzfj1atXZC0DAwO4ublh+/btLIvLgwcPUF9fjzNnzhBRo6CgABcXF/j7+0NHR4e1Z1lZWXz8+BENDQ2orKzE48ePyWeGhoYICgqCk5PTlM7SDG/fvkVlZSVOnz5NooE4nIlCrJGRkbC0tGS9gGeKIBsbG8PZs2eRn5+PtrY2Igy0tLQQFRWF0NDQbyYb/JaliMvlorOzEzk5Oairq2MVYo2JiUF0dDSr3powBBAvDx8+xIkTJ5CTk0MseXJycggMDMTu3btJWP9iF0BM28ePH5GXl4ejR4+yrJCmpqbYv38/wsPDJznZUwEk2LHCnGsh15gr4rw3QSIp5+QHKoAEDPNA/+zP/gxSUlIYGRnB7du3ceHCBeLbAwD6+vqwsbHB+vXrMTIygu7ubnR1dbGiwtasWQNnZ2diORofH8ft27fR3t7Oyim0fPly7NixAw4ODqyrq9HRUbS3t6Ouro5ViNXExASenp4wMTGBlJQUy1eIccyuqqrC2bNnWRFbvr6+8PLyIjmBpsrwzOFMhIKXlJSwCrGuXr0aISEh8PT0hLKy8jdD6BlevnyJoqIilJSUEL8jJqdQVFQUNm/ezLff0VQ/+IxvU15eHnJycohjtqysLLy8vJCQkIBt27bxdfUmiJxCX758wenTp3H8+HFWWP/27duxe/duBAQETLJQCVsACbqNFy6Xi/Pnz+Po0aMoKioign3FihUkpxAj2L8HAbQQYkfQLzxhv0DF5QUtLvtYKCTh/FQACRheC1BeXh6UlJRgaWmJDRs24P79+zh//jzr6kVdXR2WlpbYvn07li5dir6+PnR0dODq1atEfKiqqsLa2hp2dnZYtmwZ5OTk0N/fj7a2Npw5c4bUyZKVlYWFhQVcXV2xbt06knyPy+Xi2rVrqK2txZUrV1jJGN3c3ODm5sZKdMiIkzdv3qCmpgbV1dUsp2c7Ozv4+flh27Ztk35IeIUNU4i1qqqKOP0qKirCw8MDISEh2LhxI2vsTEJmaGgItbW1yM3NZV3xbdu2DZGRkXB3d2cJg9kIIIbh4WHU1tYiMzNzUhX4nTt3IiAggCStBIQjgHi5fPkyjh8/jtLSUlKhXV1dHTExMYiPjyclTxazAOLt19/fj/T0dBw5coRcgUpLS8PX1xd79+6Fi4vLgogRKoCEO5+o5+cXcdnHQiEJ56cCSMAwDzQ6Oho5OTmkfcmSJdi+fTtMTU1JHqDLly+Tv3hlZWWxfft22NraQkdHBx8+fMDZs2dx7tw54ivB4XBgZGQEV1dXbN68GRwOB8PDwzh//jxaWlpYIfdr166Fh4cHrKysWFmIGVHDm1NIRkYGtra28PLywubNmydZdkZGRkhOId5onnXr1sHf3x87duyAoqIimetrhoaGUF1djeLiYlb4vpGREUJCQuDi4gI5OTm+LDlSUlK4cuUKTp06hYaGBiIS1dTUEBgYiIiIiGn9jr4lgHjX6O7uRmZmJsrLy4n4UFFRQUhICOLi4rB+/XqhCyCm3+vXr0lOId7rRXd3d+zevXtKYbAYBRDD6OgoKioq8Kc//YkVvbdp0ybs2bMHsbGxU2Ymn8+a8+1HBdDimZ9fxGUfC4UknJ8KIAHDewU2ODiIq1ev4tq1a8THR0pKCoaGhrCzs4OGhgauXr2Kc+fOkbB0YEK82NrawtjYGHJycujp6UFbWxsrYkhLSwvOzs6wsrKCgoICZGVlce/ePTQ1NeH8+fPEp4XJKeTm5gZ1dXUiboaGhtDR0YG6ujqWRWr9+vXw8/ODg4MDSzgxQqG3txcVFRVobm4mwkBJSQmenp4IDAwkVgleGDHC5XJx5coVFBcXo62tjYiXZcuWISgoCKGhoZOcfr8WMrz//fr1a5SUlKCoqIglDBwdHREXFwdra2vWD/FsBBDD27dvUVRUhOzsbJZ4c3JyQmJiIpycnGadU2i2AohhdHQU9fX1SE9PZxVi3bhxI5KSkhAVFUUiBBezAOL97xs3buDIkSPIzs5mRe9FR0dj//79MDQ0FNia8+lHBdDimZ9fxGUfC4UknJ8KIAHDPNCEhAS0trZCVVUVxsbGePnyJbq7u1lFS7W1tbF9+3Zs3rwZL168wJUrV3Dz5k1WQkRLS0tYWFhAVVUVL1++RGdnJy5fvkzEB+NY7eTkRJImMtajM2fOEIdaDocDExMTuLm5YcuWLaxv7sePH6O+vh5nz54lkVxLliwhOYVWrFgxySr04cMHtLS0oKqqipVs0MLCAv7+/qxir1OJjHfv3qGyspJViJVJiBgUFARjY2NwOJwZi7kyMLWp8vPzWVmI169fj4iICPj5+UFZWXnOIfQMHR0dyMzMRFNTE7lGXLt2LWJjYxEcHMxyzJ5pfkEkX7x79y7S09ORm5tLhIGKigoiIiKQmJjICuv/eiw/8y9029f//eHDB+Tk5ODIkSO4efMmaXdxccGePXvg6+tLvjcE7cg9lz6z6SfIseLiUC2M+UQ9P7+Iyz5Ewfd2ViqABAzzQAMDA1FaWkra9fT0YGxsDAUFBfT09ODOnTvEAqKoqAhjY2NYWVlBWloaFy9exMWLF4lvj5SUFAwMDGBtbU1y4ly4cAFnzpwh4gGYuCJwcHCAsbExpKWlIS0tje7ubjQ1NbH8ZrS0tODi4gI7OzsoKSkRS8+HDx/Q1NSE+vp6UsGew+HA3NwcPj4+MDY2nhTJNT4+jsuXL6O8vBwXLlwgn61cuRJ+fn7w8PCYlOMF+C+RMTo6ira2NhQVFeHatWvk8w0bNiAoKAheXl4sv5tvOU8/fPgQubm5KC8vZ9Uy8/PzQ1RU1CS/o7lEkPX19SErKwsFBQVEfCgqKsLf3x+xsbHYunXrjPMLMvs0k1Po2LFjLAuhra0tEhMT4ePjQ76+i1kAMXC5XLS1teHQoUMoKysjfyxoa2tj9+7dSEpKgpaW1pRj57q3ufSZTT9BjqUCSPSIyz5Ewfd2ViqABAzzQOPi4vDs2TPcvHmTldNGVVUV27Ztg76+Pm7fvo0rV66QoqXAhIixsLCAnp4ebt68iYsXL7KuXlauXAl7e3uYmZlBRkYGd+7cQUdHB27cuEGsEkuXLoWDgwOcnZ1J/aUnT56gpaUFnZ2dxO9IXl4etra28PT0hK6uLlmDN6cQb6JDbW1teHp6YseOHVNGcj158gQ1NTWoq6sj4k1OTg6urq4ICAjApk2bSN+pRMa9e/dQXFyM+vp6skemEGtISAjWrl3Ld/TY58+fUVZWhvz8fDx48IC0m5ubswqxzkUAMQwODqKkpATZ2dks36ht27YhLi6OZLPmZ675Xp9xuVy0tLQgPT0dNTU1rJIliYmJiI+PZ5VVmc384iSAeOnr60NaWhoyMjJY0XvBwcHYt2/fpCvQue5tLn1m00+QY6kAEj3isg9R8L2dlQogAcM80KCgILS3t0NJSQlr167Fq1ev0NvbS66upKWlsWnTJhgaGuLjx4+4du0aSygtXboUJiYm2L59O96/f49Lly7h+vXr5IpKXl4epqamsLS0xPLlyzE4OIiuri50dXUR8SEtLQ1TU1M4OjoSgTM+Po6uri60tbWxQuP19fXh4uICExMTVjTV06dP0dTUhPb2duLHJCcnBwcHB/j6+rKEEzDxAhoaGkJrayuqqqpw//591hr+/v6ws7ObspAqI24+fPiA2tpanD59mpUWwNzcHOHh4bCxsWG9vKd6kTNXdkwts4KCArS0tBCrm4aGBsLCwhAWFjbJQsVvWD2zLpfLxcWLF3Hq1CnU1NSQr5G6ujqioqIQExPDEh/CEEC8PH36FFlZWcjOziaFWGVlZREYGIjk5GSYmpryPdd0/RZCAE3XNjQ0hOLiYhw5coSVesHExAT79u1DeHj4lEJ0vv5Jsx03335zHSvOwkYUL1RxeWmLyz5EwWI5KxVAAoZ5oC4uLmhqaiLtTEkMLpeL27dvE98cYMKysnXrVqxcuRLXrl3D9evXiVCSlZXF1q1bYWpqiiVLlqCnpweXL18mV1TAhBOsra0tNm/ejPHxcXR3d6Ojo4MlqPT09GBrawtLS0tSJPXOnTtobW3F1atXWTmFXFxc4ODgwIq0GR8fJzmFeKPNtm7dCg8PD1hYWEBGRmbKnELV1dVob28njtnLli2Dl5cXvL29WckGv7bujI+P4+rVqygpKUFHRwfZo46ODgICAuDr6ws1NbUZBRAv/f39KC4uRmFhISlHIisrC3d3d4SHh8PExGRKvyOAP6uQlJQUXr9+jYKCAuTk5BB/LxkZGXh4eGDnzp3kmvNbc03XNhvRMjIygoqKCqSlpbGuJ7dv346EhAQEBQVNEgaLUQDxcunSJRw5cgT5+fmkrMry5csRHx+P3bt3s+qtUQEkvDUXYq6FXIMfxGUfomCxnJUKIAFx4MABHDhwAGNjY7h9+zYCAwPx/PlzPH36FE+ePCEvb3l5eWzcuBFaWlq4d+8eHjx4QD5TUlKCkZERNm/ejMePH+PKlSssoaSrqwszMzMYGRnh/v37OHfuHO7evUs+V1NTg6WlJSwtLaGsrIznz5+jra2NlVNISUkJNjY2sLe3J+Lj48ePaG5uRltbG8t6xBRi3bRpE7EKMdXla2pqcOHCBbL3ZcuWwc3NDd7e3li2bBnr2cjIyODt27eorq5GVVUVOZOUlBSsrKwQEBAAExOTKUULI4qePXuG0tJSVFRUEL8bOTk57NixA6GhoTAwMGCNm2ouRniMjIygvr4ep06dQk9PD/l88+bNiIyMhJ+f3yRhMNtEiMwamZmZrCrwGzduJE7TzPXkVHNN1zZXq82VK1dw/PhxlJSUEHGtpqaGqKgoJCQkEGGw2AUQQ39/P06cOIEjR46wBLu7uzv27t0LLy+vaZ3d57I3fsbNt99cx1IBJB4vY3HZhyhYLGcVuQAaHx/Hq1evsGTJkinN0osd5oEGBASgrq4OXC6XvFwePHhAHHM5HA709PSwfv16vH37Fjdv3iRXTBwOB+vXr8e2bdsgKyuLK1eu4Pbt20RsqKiowNzcHObm5hgaGsKFCxdw5coVVjmNbdu2wdnZGatWrcKHDx9w7tw5dHR0kISGHA4HhoaGcHJyIs7Nw8PDuHjxIlpaWlih8atXr4aXlxdsbW1ZofHv379HfX09GhoaSJZraWlp2NjYwNvbGwYGBuBw2NXlR0ZG0NnZiaqqKnR3d5P2NWvWIDAwEO7u7qzvi6+tQiMjI2hoaEBxcTHL78bAwAChoaFwdXWFvLz8jAKIlxs3biA/Px/V1dXE70hVVRXBwcGIjIzE6tWrpx3LTx4gaWlp3LhxA9nZ2SgtLSVff2VlZQQHByMuLg6bNm0SugBi+r1+/RrZ2dk4efIkSxg4OzsjJSVlygrti1EAMYyOjqKmpgapqank5xGYiBDcu3cv4uLipozem+3e+Bk3335zHUsFkHi8jMVlH6JgsZxVZAJoYGAAP/zwA0pLS6GmpoaPHz9izZo1+OMf/wgXF5e5Tit2MA/U3Nwc3d3d5K9tKSkpaGtrQ1VVFa9evSJXMMBEyPmGDRugrKyM3t5eVqj88uXLYWRkBB0dHdy5cwfXr19n5RTatGkTTE1NsWrVKty6dQsXLlxgjV+zZg2srKxI6PuDBw/Q2dnJEg8aGhpwcHCAhYUFFBQUICcnh8ePH6O1tRVdXV3Ep0VZWRmOjo5wdnbG8uXLiRgaHR3F+fPn0dDQgDt37pB59fT04OnpCScnJ5ZwAiYsNEwh1sbGRnJdoaysDDc3N/j6+kJHR2fa+mOMJaq0tBQtLS1kj0uXLoW/vz9CQkKgqanJGjvT1db79+9RVlaGgoIC4nfE4XBgb2+PyMhI2NnZTRIGUyVpnG5+YMK3qaSkBDk5OSyBaWdnh/j4eLi4uLD6CzOCbGxsDM3NzcjIyEBDQwMRBuvWrcOuXbsQGRlJrkAXwiokjPnv37+P1NRUZGRkkD8ElJWVER0djX379k2yIs5mb/yME0W/hXKCXmyiSJzW/Rpx2YewEYdzikwA/fmf/zkGBwfx7//+76ReVXV1NWJjY/H48eMpnWIXI8wDdXR0xIMHDzA2NoZPnz6x6oAtXboUq1evxufPn9HX10d8Y2RlZbF+/Xro6Ojg6dOnuHv3LvlMTk4O+vr62LJlCz5+/IgrV66wHIRXrlyJ7du3w8DAAK9fv8aFCxdYOYVUVFRgZmYGGxsbqKmp4fXr1+jo6MDFixdZUWHm5uZwdnYm9Zc+ffqEjo4OtLa2skLjt23bBjc3N2zdupX1gnzy5Anq6urQ3t5OxJ+ysjJcXFzg7u5O5uW10Hz69AmNjY2orKxkOWZv374dfn5+sLa2JsJgqiiwDx8+oLKyEqWlpcTpV1paGnZ2dggKCoKFhQWkpKT48u0ZGxvDuXPnkJubi46ODtKuq6uL8PBwBAYGEovBbAUQA4fDQWdnJzIzM1FfX0++Rjo6OoiKikJkZCTU1dWFHkLP9Onr60N6ejqys7PJ96mioiJCQkKwa9cubNu27ZtzCbpNmPN/+vQJubm5OHToECvK0d7eHikpKQgMDGQJdiqAhDtWmHMthnW/Rlz2IWzE4ZwiE0A7duzA3/7t38LNzY3VvmnTJlRUVLBCpBczzAO1tLREV1cXgImXvYaGBsbGxvDq1SvywpOVlcWaNWsgKyuLx48fE98WYELQbNq0CaOjo7h+/TophwFMWHW2bdsGFRUVcj3G+PjIy8vD2NgY5ubmUFZWxvnz53HhwgXi28PhcLBlyxbY2Nhgw4YNGB4extWrV3HmzBlWpfkNGzbAwcEBpqamkJGRgbS0NK5evYqGhgaW9UhTUxMuLi5wdHSEiooKESiMX1FdXR0rV9G2bdvg7e0NKyurKa+QLl26hLKyMly8eJFYJVasWAFvb2/4+PiwnKYZmDXHxsZw5swZFBYWsiqMM4VY/f39WcVigZmtQg8fPkReXh7KyspYYf3e3t6Ijo5m5fth9j/dXNP1e/LkCckpxFglZGVl4ePjg4SEBOKYPdMa8xVADJ8/f0ZhYSHS0tJYeaMsLS2xa9cu+Pv7E1+wxSyAeGlra8PBgwdRXl7OihBMTExEcnIydHV1qQAS8lhhzrUY1v0acdmHsBGHc4pMAP3mN79BbW0t/vEf/xHr1q3Dx48fkZeXh9TUVNy5c4dvh0Rxh3mgNjY26OvrQ39/P7GwABOh0YqKinjz5g3xBwEmkhNqa2vj9evXePz4Mcvfx9DQEEuWLMGdO3fw8OFDMkZFRQXbtm3Dxo0b8ejRI1y+fJnlNL1x40ZYWVlh3bp1uHXrFs6fP8/KibNixQrY2trCxsYG8vLy6O3tJZXmebNROzg4wNXVlVyJPHv2DC0tLejo6CDXcbKysqSeGG85jPHxcVy/fh21tbW4dOkSOdfKlSvh4+MDNzc3Ikp4rTvPnz9HdXU1amtrifiTkZGBi4sLgoODsXnzZtJ3KqvQo0ePUFJSgurqaiJeFBUV4ePjg7CwMJJQkh+r0ODgIGpra5GXl8fKQmxqaoro6Gi4u7vPO6fQ8PAwKisrkZWVxaoCb2xsjPj4ePj5+UFeXl6oAojpw+Vy0dnZiePHj6OiooJYIdXV1REfH4/ExERiyZtp/vm0idrv6MmTJzh+/DiOHz9OrpClpaURGBiIH374Aba2tqQ/FUCCHSvMuRbDul8jLvsQNuJwTpEJoLGxMfzrv/4r8vLy8OTJEyxZsgRWVlb49a9/jQ0bNsx1WrGDeaAGBga4ffs2xsfHsWTJEoyPj7MSHioqKpL8Pbwh7crKytDV1cXIyAgeP37M8iHS09PDqlWr8P79e9y+fZsIK96cQkNDQ+ju7mYlT1RTU4OJiQkMDQ0xOjqKS5cuobu7m3X1tX37dlhaWmLFihX48uULurq60NnZSfYsLS0NExMT2NvbY+3ateBwOBgfHydO048fPybrbd68GS4uLsR6xFwnvHz5Eg0NDWhpaSHiT15eHvb29nB3d5+UpZnhzJkzqKysZFmetmzZAj8/P9jb20/pTM+IosHBQdTV1U0qxGphYYGgoCDY29tP62fEi7S0NLhcLnp6epCbm4v6+npiMVixYgXCwsIQGho6ye+IX3HCK5R6enqQlZWFiooK8vVftmwZIiMjERMTg1WrVn1zPn6cpfnZ24sXL4jTNG9Yv6+vL3bt2gUbG5sZhQG/bcJ2vJ6KqfoxhVgPHz6M1tZW0m5iYoI9e/YgIiKClZlcWPuYaz9xcbwWxlhhzrUQ888Hcd6boBHmWWkYvIBhHihjleG1/jDZkz98+EAsLFJSUlixYgWJ0GH+2paWloaOjg6WLl2KJ0+esCw76urq2LRpEzgcDm7fvs1yqNbQ0ICRkRE0NDRw584dXLt2jbxEZWRkYGhoCDMzMyxfvhzd3d24cOECS4CtX78ednZ2xCG0p6cH7e3tLMuTjo4O7O3tYW1tDXl5eXC5XNy/fx9NTU24cuUKORvjC+Xm5sYKjR8aGsK5c+dQU1PDikTS19eHh4cHbGxsiGji9RW6ffs2Kisr0dbWRp7T0qVL4eXlBV9fX1aywa9FDJfLxdWrV1FUVISOjg5WpuTAwED4+fmRQqz8ZJt+/fr1pJxCMjIycHZ2RkREBKysrMDhcOYkgBjev3+P/Px8ZGVlEd8oKSkpODs7Y+fOnaQQqzAFEDPX6OgoqqqqcOzYMVa9NX19fezatQvh4eGssP6Z9iHOAoi3raenB4cOHcKpU6eIk76amhpiY2Oxe/dulhWSCiDhjxXmXAsx/3wQ570JmkUpgMbGxvDgwQOsWLGClVCPgcvlgsvlTvkLdzHDPFBDQ0NSm0lWVpZcwwATL8qlS5dicHCQdQ22bNkyqKio4O3btyx/IHV1dWhpaeHDhw94/PgxeXnLyclh06ZN0NDQwJMnT3D37l3ymYKCAoyMjGBgYIAnT57gypUrLKGkra0Nc3NzbNmyBc+fP0dXVxcr1H7JkiWwtraGlZUVVFVV8eLFC5w5cwYXL14k4kNRURHW1tZwdHQklo/Pnz+jpaUFra2t5OpKSkqK5BRiQuOZZIw3btxAXV0dzp8/TywqqqqqcHd3h6en56S6TkxOoaqqKlRXV5MzcTgcWFpawt/fH+bm5pOizpixwH/lFKqsrGSF7zs7O7MSIvIy3VUZk+8nLy+PdXW1bt06REdHIzAwcJLFYLZXZUwV+JycHJZjtp6eHmJjYxEZGTlJfAhaAPHS09ODjIwMFBYWkitQFRUVREVFISkpiWXJW8wCiOHNmzfIyMhAWloa6wrZxWWiEKufn9+UopkKIMGOFeZcCzH/fBDnvQmaRSeAbt68CR8fHzx48ADS0tL4+c9/jj/84Q8AgPb2dpw6dQr5+fk4c+YM8cUQJuPj47MWWnMZA/zXA122bBnLaiMlJQU5OTkMDw8TkQJMvDgAsASPrKwsli1bhtHRUbx9+5aIEjk5OWhra0NeXh6PHz9miadVq1Zh7dq1+PDhA3p7e1n5hlavXg0DAwNISUnh7t276O3tJXtQUlKCiYkJTExMMDY2hqtXr6K7u5uMl5KSgqGhIezs7KCrq4vPnz/j0qVL6OrqYlmONm/eDHt7e5JTaHR0lDhX8yZr1NbWhovLRKZp3pIb7969Q3t7O5qamsi8TKJELy8vbN68mQgnhrGxMZw/fx61tbUs8aGjowN/f3+4ubmxxMfXuYGGh4fR0dGB0tJSViFWfX19hIWFwcXFhQgpfnyF7t27h6KiIlRWVpLnp6KigsDAQERGRpKyIfxmmp7qB//Ro0fIyclBUVERuZ5UUlIiOYWY62R+xM18cw8NDAwgLy8P6enprLB+JycnJCUlwc3Nbcp8TPwID3FJyMjL+Pg46uvrkZqaiqqqKvJzuWbNGuzZswcJCQmssiqiEEBzfTmIs1AS9AtPUoSSuOxjoZjL+YUigKKiovDw4UP8z//5P/H69Wv89re/xX//7/8d2dnZuHDhAvT09BAWFoYff/xxUlSOIPnpp5/wb//2b3j9+jUMDQ3xxz/+ETt27BD4GF6YB6qhoUHEC5fLZYke5sXPez2moKAAJSUlfPjwgeS04XA4WLFiBeTk5PDq1StylcXhcKCtrY2lS5fi9evXrOgtJqeQgoICHj58yAqVV1NTg7GxMfT09NDb24vu7m5WxXkmp5Cenh5xmuYtp7Fq1SpYWlrCyMgIMjIy6OvrQ0dHB27evMmK2LKzs4O1tTX52r569QotLS04d+4cq8ipnZ0dXFxciJVHVlYWY2NjuHTpEmpra1kOx3p6enB3d4ezs/Mknx9ZWVk8ffoUlZWVqK+vJ+JDUVERrq6u8PX1hZ6e3oyZpnt7e0khVub5q6mpwc/PD/7+/pNqngGTRQvz358+fUJFRQVyc3OJ3xGHw4GdnR0iIiLg4OAw7VhepvqBZvb7+fNnnD59GidOnGAJTFtbW8TExBDHbF4ELYAYxsfH0dbWhuPHj6O2tpYlDOLj4xEdHU2uF6ebbzEIIN4+fX19OHbsGI4dO0YEu6KiIsLCwrBnzx6YmZlRAUQFkEgRl30sFGIjgAwNDZGRkQELCwsAwLVr17Bt2zaYm5vjX//1X2Fvbz/rjc6WgwcP4he/+AWKiopgY2OD3//+9/j973+Pa9euYd26dQIb8zXTWYCkpaWJLwWDrKwsZGRkyDUC009VVRUjIyOsazNlZWUsXbp0Uk4hVVVV6OjoYHR0FA8fPmT5EG3YsAG6urp49uwZ7ty5Qz6TkZHB5s2bYWRkhPfv36Onp4cldDQ0NGBmZgZjY2O8efMG58+fx7Vr18gVlaKiIszMzGBvbw91dXX09/ejo6MDXV1dxFdCRkYG27dvh5OTE7FKDA4OoqOjA83NzSzRZmBggB07dpB8PQx9fX1oaGhAW1sbESWKiopwdnaGp6cnydLM+6IfHBxEY2MjKioqWI7ZRkZGCAwMhJ2dHeu64uuri/fv36OqqgrFxcVkjxwOB7a2tggODmbV8vqWiGEKz+bk5KC9vZ20a2trIywsDCEhIcRiMFsBxMDlcnHu3DmcOHECjY2NRGhramoiMjISkZGR0NbWBiA8AcTbr6+vDxkZGcjOziZh/XJycvD398fu3bthZmY2rwi1hWibqc/g4CAKCgpw8OBBVuoFCwsL7N27F6Ghod/McUYFkODWFMV8op6fX8RlHwuF2AigtWvXoqmpiXW9paWlhdLSUlhZWc16k3Nh8+bN8PX1xb/9278BmHhR6OnpISYmBr/73e8ENuZreC1Ab968IRYg3kcnKyuL0dFR0sbhcKCoqIjR0VFi5QEmxI2cnByZB5h4AWppaYHL5eL58+dElMjKykJPT49cj/GKJE1NTWzatAkjIyPo7e1lXV3p6OjAwsICS5YswdWrV3H9+nVW8kUjIyNYWlpCTU0NFy9eRFdXF6uchr6+PinEOjo6ip6eHpw5c4YlPtatWwcXFxds374dMjIyGB8fR29vLxobG1mFWFesWIEdO3bAycmJ+LTIysqycgq9ePGCzLt161b4+PjA1tZ2yqSEV69eRUVFBc6ePUuEwfLly+Hj4wNfX1+oq6tP6bshIyOD0dFRdHR0oLi4mFVIVFtbG6GhofDz85tUQmGmq62+vj4UFhaitLSUFdbv6emJmJgYmJiYTBrLjwBizgpMhHLn5uYiLy+P+EZJS0vD09MTCQkJsLS0ZM0pzPIbg4ODKC0tRUZGBi5fvkzaTUxMSLJB3ivQxSqAeOns7MTRo0dRVFREfo7V1dWRmJiIlJQUVnqI2a45n/0Kek1BryHINUUxn6jn5xdx2cdCIVYC6A9/+AN27NhB/sKdShQJi/7+fqxYsQKFhYUICQkh7fHx8Xj48CFaWloEMmYqmAf6NcwXh/cRMi9HRsQAE6JDSkqKWFKYNkVFRQwODrIEkoqKCpYsWYK3b9+yrEhLliyBjo4OPn78yCrEqqCggM2bN2PFihXo7e3Fo0ePWEVaDQ0NsXXrVvT19aG7u5tlwdLT04O1tTVWr16Ne/fu4dKlSyyHUCUlJdjb28PBwQEcDgePHj1CZ2fnJMuRhYUFPD09yTdbf38/zpw5g7NnzxKLl4yMDAwMDBAeHs66ehofH8edO3dQX18/KVGih4cHfH19iUDgtQr19/ejtrYWdXV1RLxJS0vD3t4eUVFRk74nvxYZjx8/RmVlJaqrq4nfjYKCAjw8PBAbG0uu8KYSQF/P9eXLFzQ2NqKgoIDld2RkZIT4+Hi4u7uTNn5zCH3db3h4GA0NDcjOzmYVYjU0NMSuXbsQGBgIDof/CLX55h66cuUK0tPTUVJSQq5AlyxZgoiICPziF7/AkiVLJv3ymovoElXbt/q8evWKOE0zUY5SUlKwtrbGTz/9BHNz82/ONxWCFmxz7SfIseLiUC2M+UQ9P7+Iyz5EwbfOKhQBZGxsTKpsr1q1CsbGxmhra8Mf//hH+Pj4EJO8sLh+/Tq2bt2K1tZWODg4kPa/+qu/QllZGSvL7XzGABN+PLy+PAMDA+RqZioYPxdenyA1NTV8+PCBJYSYfD+8ztG6urqQl5dn+XxwOBxYW1uTely8+Pj4gMPh4Nq1a6wwdiYU/tOnT5OEDHO1xeVy8ejRIzQ0NJCXPofDwb59+4h15tOnT6iqqmI5wAYGBsLS0pL898ePH9HU1ITOzk7SxtTX4mVkZARdXV04deoUadPS0sJvf/vbSc8PmBA1OTk5rHljYmIQGBjI6vc1LS0tOHz4MCusOTMzk9VnOqvQly9fUFZWhsOHD5OvlYGBAf70pz8B4E8A8fa7fv06fvOb35BoQQA4duwYKT0xVwHE2+/WrVv4+7//e9b1TFpaGuzt7UUmgBj6+/vxL//yL0hPTydtCQkJ+Kd/+qfvSgAxjI6OoqysDAkJCaRNQUEBT58+ZX1/UgEk2jVFNZ+o5+cXcdmHKBCkAJr8m3wauru7ce/ePVy4cAEXLlzAxYsXIS8vj+TkZAATL3IrKyscPXqUlR9G0PCKDOa/v/VAZjvmp59+wv/5P/+Hr/0wPkC8OpLJC8QrfhQUFPDmzRuWVUdBQQHDw8Ok1hXDihUr8Pz5c9bVEDBxtfX+/Xs8ePCA5QitoqICXV1dPH36FLdu3WL5/sjIyEBPTw+Dg4O4ceMGenp6WMkbDQwMoKSkhLGxMfT29uLKlSssYbVs2TKsX78ewISl68GDBzh79izLmRmYEMi8vHz5Em1tbSwxA2BKX7Hx8XFcvXoV9fX1rJe6jo7OlNdIDC9evEB9fT1qa2uJ+JGTk4Ovr++0Y3h58OABTp8+jerqavK1UlZW5ns8L4ODg6iurkZ+fj5L/Nja2vLta/YthoaGUFVVhaysLNZzsrKymrbop7Dgcrk4f/480tLSUFlZyfrMz89PpHsRFU+fPsWxY8dw/PhxVntycvKUophCoYg3s/qpXb9+PdavX4+IiAjS9uDBA5YoGhwcFIoAYixMX4uFly9fTsorM58xAPDLX/4Sf/mXf0n+eyoLEIfDmeQHxPiZMP42HA4H8vLyGB0dZV1/qaiogMPh4MOHDywHY3V1dYyNjaG/v58468rKykJHRwfS0tJ48eIFy/FWQ0MDenp6GB8fR0dHB0vY6OrqYuvWrZCXl0dPTw/u3bvHqi1maGgICwsLyMjIoLOzE1euXCGWKcYPyNLSEnp6eqSMwrlz51jPcsOGDbC3t4ehoSGkpaUxPj6Oa9euoa2tjSWQNDU14eTkBDs7O1a018DAANra2tDc3MyqLWZiYgIfHx8Sfs/L+Pg4Ll++jKqqKlYZDg0NDfj4+MDDw4MVtvw1IyMjOHPmDMrLy1kiYs2aNQgJCYGXl9eUWYGn48GDBygsLERFRQW57pOXl4ePjw+io6MFUg+vr68Pubm5KCoqYtUW8/f3R3x8/KT6ZcLk06dPKC4uxokTJ1jXfdbW1khOToa3t/d3JQa4XC7a2tpw5MgRnD59mvwMaWpqIikpCcnJyUK3flMoFOHA92+q/fv3Y/v27fD392el7V+7di3Wrl2LsLAwoWyQYdmyZTA0NERjYyPCw8MBTLwMGxsbkZSURPqNjo5ifHwccnJyfI/5Gnl5eZYzJ8Py5cvx/v17jI2NkRcvbyQYbwV4JhKMV+CoqKhgeHiYdQWmqqoKVVVVfPr0iWXxYarLf/z4EY8ePWI5Rm/cuBFaWlp4/PgxLl26xPrMwMAAhoaGePfuHS5dusSac+XKlTA3N4ehoSERUzdu3CAWMmVlZVhbW8Pa2hpqamp48eIF6urqcOnSJXIlKCcnB0tLS7i6upLaUR8+fEBrayva2tomVZf38PCYVF3+4cOHqK6uRmdnJ3lmTHV5Ly8vaGtrT7ru+vjxI2pqalBZWUnKNwAT13sBAQGsSK6pXsBv375FaWkpysrKiB+UlJQUHBwcEBwcDAsLC3A4HL5C2blcLpqbm5Gbm8typl69ejWruvxco8AYmpubcfLkSbS1tZE2bW1tREVFITo6esrq8sJygu7t7cWxY8eQn59Pvn8VFBQQGhqK3bt3w8jI6JtriMt111R83efDhw/Izs7GkSNHWFfldnZ22Lt376Tq8nNZcz77FfSagl5DkGuKYj5Rz88v4rKPhULY5+dbAG3btg1ZWVn48z//cxgZGcHf3x/+/v6kPIAo+Ou//mvs27cPO3bsgK2tLf75n/8ZHz9+xA8//ED67N+/H2fPniX+SvyM4RcpKSlW1fexsTHWNZeioiLGxsYwPDxMQryVlZUhJyeHgYEB8tc7UypDWloar169IpYbKSkpaGtrY8mSJXjx4gU5AzDh17JhwwYoKirizp07uHHjBvlMXV0dxsbGWLVqFW7duoXi4mIivKSlpaGvrw8rKytoaGjg+vXrOHHiBEsYrV69GlZWVti6dSsUFBRw8+ZN5OXlsa5yNDU1YW9vD0tLSygpKUFOTg59fX1obm5GV1cXETIqKiqwt7eHi4sLNDQ0iJAZGRnBuXPnUFtbi/v375N5N2zYAC8vL9jZ2U0pOvv6+lBeXo6mpiYiwpSVleHm5gZfX98ZHfC5XC6uX7+O4uJitLS0kK+Vuro6/P39ERgYOKnO10y8f/8eJSUlyM/PJ89PSkoKTk5OiIyMhLW19byzoA8MDKCwsBDZ2dmsfEMODg6IjY2Fs7OzyCwsY2NjaGhowPHjx9Hc3Eza169fj/j4eERFRQn1unshuHv3Lg4fPoyTJ0+Sn0tlZWVERUVhz549k656KRTK4oXv36Q/+9nP8LOf/YyULCgrKyMROr6+vvD394enp+eUtYMERUJCAj5+/Ihf/vKXePHiBYyNjVFbW8uKKpKVlWW9SPkZwy9cLhcyMjIYGRkhAkdaWhqysrIYGhoi/j0cDgcqKirgcrn4+PEj62pETU0NY2NjePXqFSuSa82aNeByuXj8+DHx4eFwJjI+6+np4c2bN7h+/TprjXXr1mHLli2QlZXFtWvX0NzcTOZUVVWFqakpjI2NMTQ0hJ6eHuTk5LAsUiYmJrC2toaWlhY+ffqE9vZ2nD9/nhUSb2hoCBcXF2zcuBEcDocImfb2dpaj9Zo1a+Dh4QELCwuW9ebNmzdoampCU1MTCeNnqsx7enpi/fr1k6w9IyMj6OzsRGVlJeuaZe3atfD394ezs/OMeViGhobQ1NSEkpISVrFVExMThISEwMHBATIyMlNaaKbi5s2bKCwsRFVVFRFhampqCAkJQVhYGLS0tPieazru3LmDrKwslJaWkqSPS5YsQXh4OGJiYrBmzRqRlZh5+/YtsrOzceLECRLxxOFw4OHhgaSkJFKv7HthdHQUNTU1OHr0KOrr60n7xo0bsX//fsTExHzTmZJCoSw+5l0Nvr29HWVlZSgrK0Nvby+cnJzg7++Pffv2fTNZ2GKB8SrX19cntbUUFRUhJSXFSmwoLy9PrrN4nZ3V1dWhrKyM/v5+Vn8NDQ2sXLkS7969mxTarq+vj5UrV+Lu3bu4f/8+q8zFtm3bsHnzZjx8+BDd3d2sHEBr1qyBhYUFtm7dit7eXnR1dbEsOcuWLYO1tTXJA/TgwQO0t7fj8uXLLEdgW1tbODg4QF1dHfLy8nj9+jWam5vR1tZGziAtLQ1LS0u4u7tjw4YN5EpgfHwcPT09JLSdN1+Pp6cnvL29WWkFGIvGq1evUF1djerqapa1zNbWFoGBgdi+ffskayOvNeTRo0coLS1lhbbLycnB3d0dkZGRrEKXzP6/hmn78uULamtrUVBQwLLEbdmyBTt37oS3tzdLaM82kguYCG2vra1FTk4Ourq6SPvmzZuRkJCAoKAglj8SP9dWc70CYwrLHj9+HKWlpayIup07dyIxMRF6enrT7oOfvQn7Gmu28718+RLp6elIS0sjOa4YoffDDz/Azc2NrzPwu4+59hPnq635jhXmXAsx/3wQ570JGmGeVajV4CsrK2Fubj7l1cH9+/eJGEpNTZ2TlUUcYR4oU2T048ePrOzPTEX4gYEBlm8Qc8314sULIi6YqCwFBYVJyQ01NDSwadMmjI2N4datW0QEABPh40ZGRtDU1ER3dzdu3LjBSm64detWmJmZQVVVFVeuXMHFixfJ3BwOB5s3bybJDcfGxnDlyhV0dHSwIsZWr14NZ2dnmJmZkcKmN2/eRFtbG7q7u8nZli1bRpIb8gqZkZERtLS0oLa2luWnY2hoCE9PT1hZWUFGRoZl8WHWOH36NDo7O4lYWrZsGXx8fODt7Q0NDQ3y7L5GSkoKnZ2dKCwsZKUM0NLSQmBgIPz9/aGmpsZXNXhgIrIsPz8fJSUl5PnJyMgQEWVqajrvUPYXL17g1KlTOHXqFCu5oZubGxISElj+TLwIQwANDQ3h9OnTSEtLY9VeMzIywu7duxEcHDzJKXyxC6Curi4cOnQIRUVFxJK7fPlyJCQkYPfu3SRqT9D7mGs/KoAEhziLDHHem6BZtAJo7dq14HK5aGxsJOHRDG/evJkxAmexwjzQTZs24c6dOwC+Xd5icHCQlXSQKW8xNDSEJ0+ekF+8jCDS09PDixcvcOfOHZIYkSlvYWhoiA8fPqC7u5sV/q6urg4TExOYmpri/fv3uHDhAnp6eliV3bdv3w5LS0toa2vj7du36OzsRFdXFytB4fbt22Fvb481a9ZAVlYWX758wblz59DS0sLyFTIwMICrqyuMjY1Z0VxPnz5FfX09zpw5QywHioqKcHR0hLe39yQhzFwZtrS0oLy8nBV2b2xsDD8/P9jb208SLbz//eHDB1RXV+P06dPkmTD5k0JCQiaJiJkEEBPSnZubi7a2NiLCdHR0EBYWhuDgYNb3Nb8ig3d9LpeLixcvIjs7GzU1NeRrpKmpiaioKERGRrIiE+fquMzv3p4+fYrMzExkZmaSCDw5OTkEBgYiMTER5ubm4HA48xIo4iSAhoeHUVRUhIMHD7Ic1y0tLbFnzx6EhIRMslhTAST8scKcayHmnw/ivDdBs6gF0JYtW3D9+nU0NTWxRNC6devQ1NRETOXfC8wD3bp1K549e4aRkRF8+fKFiBhg4qpAUVER/f39rMzO2traUFNTQ39/PyuEXEVFBRs3boSCggIePHjAspioqqrCwMAAGzZswL1793Dt2jVWiPqGDRuwfft2rFy5Er29vejp6WGVqdDU1ISdnR2MjIwgLS2Nu3fv4sKFC6wCp2pqanBwcGAVOH369CnOnj2Lrq4u4usiLy8Pe3t7uLq6YuXKlWQNaWlpXL58GQ0NDSw/HR0dHXh6esLR0REKCgqT/HuePXuG+vp6NDQ0kDPJy8tjx44d8PPzI9870yUuvHfvHkpLS1FfX0/ElqqqKnx9fREUFARtbW2+kxd++fIFVVVVyM/PZyV+tLKyQmRkJBwdHaeM9JmNABocHERFRQUyMzNZqQHMzMxIluiproqFIYCYkO709HTU1NQQoaelpYXExETExcWxCpxOt+ZiEkB9fX04fvw4MjIySGoJOTk5hIeHk8hWfueazz7m048KIMEhziJDnPcmaMRFAM0pnOQ///M/8dvf/hYuLi4sEfR1XpzvDXl5eVINHpj4RbpixQqMjIzg9evXrEKRa9asgbS0NJ48eYJnz56ROVatWoUtW7ZgYGAAN27cYIXEr1u3DsbGxpCTk0N3dzdOnTpFXlKKioowNTWFtbU1sViUl5cTh1kpKSkYGhrC1tYWa9euxdjYGM6dO4eOjg5yzQJM+Jc4OjoSK87o6CguXryIpqYmVjZqLS0t7NixAw4ODizH9nfv3hGnZmZeDocDc3Nz+Pv7w9jYmPXNLSMjQ/ZSUVHBumZZuXIlAgIC4OPjM8l5nlewDA8Po7m5GadPn2b54zA5qTw9PVkiYibfHmAipDs/Px+VlZWsKvP+/v7YuXMnS9TPxbcHAO7du4ecnBwUFRWxSm0EBgYiLi4OhoaGM64xV1+eqfoMDAwgNzcXGRkZrK+xnZ0ddu3aBR8fH8jKygo9/FxUIe/j4+Ooq6vDkSNHUF1dTX5etbS0sGfPHiQlJU26wl8IYcNvPypsFt+6XyMu+xA2i+2ccxJAUlJSOHr0KFJSUuDi4oLGxkZSHfx7RklJCYqKipCRkcGSJUvw7t27SVdS2tra+PDhA+7du0fEi5ycHDZs2ICVK1fi0aNHrArfCgoK2LJlC4yNjfH8+XN0dHSwqqpra2tj+/bt2LJlC54+fYrKykriiA1MRApZWVmR4qfPnj1DUVERLl++TK5ZFBQUYGNjAwcHB2LFGRgYQF1dHVpaWkghTykpKZiZmcHV1RUGBgbkm5nL5eLu3buora1FZ2cn8WdSVVWFq6srPDw8oKmpOcnaMzAwgIaGBlRWVrKqsFtYWMDPzw/m5uaQlpaeNqz71atXKC8vx+nTp8l1orS0NJycnBASEgITExO+Q8JHR0fR0tIyKXfP2rVrER4ejoCAAKiqqs4rmmt8fBwtLS2TcvesXr0aO3fuRFhYmEiviO/cuYO0tDTk5+cToaeiooLw8HAkJSVBX19fZHsRBe/fv0dWVhYOHz7MEnouLi5ISUmBr6/vtOVUKBSK5DHnhCIcDgdHjx7Fnj17iCXoe2dkZATLly/H8+fPiWiQlpaGjo4OlJSU8Pr1a5aFYtmyZdDX14eUlNSk3D0aGhowMjKChoYGbt++jby8PFbuni1btsDS0hLLly/HtWvXkJGRwcqWvH79elhaWmLz5s2Qk5PDjRs30NHRwcqxo6OjA3t7e2zfvh2qqqqklEVzczMrgaKamhocHR3h4ODA+st4eHgYnZ2daGxsZM27ceNGeHt7w8bGZsoXyr1791BRUYHW1lZyTaiqqkoiwHgTaX4Nl8tFd3c3Tp8+jdbWViIUV6xYgaCgIPj5+U26ppmJ/v5+lJaWoqioiFxBSktLw8XFBZGRkSQB4nx49+4dioqKkJ2dzYomcnV1RWxs7LQ1uoTB6OgoamtrkZ6ejtbWVtKur6+PXbt2ISwsDCoqKt9VGPutW7dw6NAhZGdnE9+2pUuXIi4uDrt3754U/UehUCjAHASQn58fuW7gcDg4cuQI9u7dCxcXF5Yz8PcIl8sl4epKSkpYtWoVxsbG8OTJE+Izw+FM5O5ZtWoV3rx5w8qiLCUlhbVr12Lbtm0YGRnBtWvX0NjYSOZXVVXFtm3bYGRkhMHBQXR3d6Onp4eMl5WVhYmJCUlqODAwgJaWFly6dIllxTE0NISzszPWrVtHHEA7OjrQ2tpK8roAE0kIXV1dYWZmxrJ8vHz5Ek1NTWhpaSFfU1lZWVhbW8PT0xPr1q2b5BszPDyM9vZ2VFVVsTLnbtiwAf7+/tP60zB8/vwZDQ0NKC0tZeUXMjY2Jrl7+E2rwIiogoIC1NfXE0uYmpoagoODBZa7p6enB1lZWaisrCRfI1VVVYSGhiIuLk6kvnDPnz9HTk4OMjMziT+ZlJQUPD09kZycDDs7u0Vnnp6JkZERVFRUIDU1lZWkccuWLdi/fz+ioqKgoqKygDukUCjizrzyADFwuVzs3bsXR48exf3792fMzrsYYZyqgoKCcPfuXXC5XLx//56Vu0dRURGGhoZYsmQJent7WUJDWVkZxsbG2LhxIx48eICenh5WiPvatWthbW2NDRs24M6dOzh37hwrMmr58uWwsbGBubk5lixZgrt37+LMmTO4du0asZCoqqqSa65ly5ZBTk6OCJmOjg6Sl0hGRobk7uH9y3h8fBzd3d2oq6vDlStXyLlWrFgBb29vuLm5sRzKeHP3VFRUoK6ujmUVs7e3R0BAwCSfIN6xwERZjNLSUtTU1JBrGgUFBXh6eiIkJAQbN24kfaeyNvGKGMapOS8vj5UA0cjICNHR0fDw8GDl7uHHl+fr/x4eHkZVVRVOnjyJ7u5u0m5gYIC4uDgEBASQsHFhlaVgYHzBUlNTUVlZSSx6y5cvx86dOxEfHz9tAkVR+eMIai6GFy9eIC0tDceOHWMJPV9fX+zfvx/Ozs5z8qtZKB+guY4VtJhdbP4+4iLmxWUfomCxnFWoUWAzcffuXejq6k5Z0mAxcuDAARw4cABjY2O4ffs23Nzc0NXVRV70wIQj74YNGzA0NITe3l5WXh9dXV2YmJhgyZIl6OnpYeXukZeXh5GREUxNTaGoqIjr16/j/PnzZG4Oh4MtW7YQYTQ6OorLly+js7OTFTG2fv16ODo6En+Y8fFx3Lx5E62trazoLE1NTTg7O8Pe3p44HMvJyeHz589obW1FXV0da95t27bB09MTZmZmk76eXC4XN27cQEVFBSt3j4aGBry9veHp6Ul8Xaby0eFwODh37hyKi4tZuXtWr16NoKCgSYkSGaYTQE+fPkVBQQErd4+8vDw8PT0RERGBrVu3ftMxmmE6AfTy5UtkZ2cjNzeXJJ6UlZWFj48PYmNjYWZmxpdDsiAE0ODgIEpKSnDs2DHW19jS0hK7du2Cn5/fN5M0LiYBxOVyce7cORw+fBjFxcXkWlVTUxOJiYlISkoixYrnKlCoAKICaC6Iyz5EwWI564IJoO8V5oH6+/ujpqYGY2Nj2LhxI3R0dPDs2TPcvXuX/FKWlZXFli1boK+vj7dv3+LGjRssR+kVK1bA3NwcBgYG6O/vx6VLl3Djxg3y17uSkhLMzMxIssk3b96gs7MT58+fJz5CsrKysLCwgJ2dHbS1tYmQ6ezsRFtbG8uJ2sjICK6urti2bRvrRfjo0SM0Nzejvb2dXN8oKSkRp2benDSM8BgcHERTUxOqqqpYYffbtm2Dv78/bGxsJokKXgH07t07VFdXo7y8nOQX4nA4sLe3R2hoKEtETPXS5hVA4+Pj6OzsREFBAc6cOUMsVjo6OoiMjERgYCBLRM1FAHG5XHR1dSE7Oxv19fXka6SlpYWdO3ciMjKSCD1BRnJN1+/x48c4efIksrKyiFO4goICwsPDsWvXLhgaGs7ZmiSKttmOGxwcRH5+Pg4fPsyKHrS2tsa+ffsQFBQ06VqVCiDhrbkQcy3kGvwgLvsQBYvlrEIPg5dUli9fDg8PDwwMDODevXss/x01NTVYWFhAT08P169fR2VlJfGf4XA40NfXh4WFBXR0dHDnzh3k5eWxsjDr6urC3t4e27Ztg7S0NG7cuIGamhpW7h51dXW4urrC1taWXLP09fWhra0NnZ2dJP+QoqIinJyc4O7uTqK+ZGVlWQVJef10Vq9eDS8vLzg7O09Zy+3JkyeoqKhAQ0MDuUpTUFCAh4cH/P39yZXndCKDKUja1NTEcor28/NDSEgI1qxZM+W4qdrevXuH0tJS5Ofns56ftbU1YmJi4Ojo+M2rMobpBMrAwABxauZ1/rawsEBCQgK8vLwmWbaEJYCYgqQZGRloaGgg3wu6urrYvXs3YmJiWAVJxUXsTNXG7y/Qe/fuITU1FSdPniRCT15eHpGRkdi7d69QcveIi7ARlzVFNZ+o5+cXcdmHKJCks34NFUCz4N27d2hsbCS+KhwOB2vXroWRkRFkZGRw7do11NfXk5eUsrIyzMzMsH37doyPj+PChQsoKCggIkJaWhpbt26FjY0NNm7ciE+fPuHMmTPo6OhgZZHesmULnJycYGBgAAUFBYyNjaGrqwtNTU2sBH6rVq3Cjh07YGNjwxIyb9++RXNz8yQ/HWtra3h7e7NC3hmY3D3l5eWsyDZdXV34+fnBy8uLJFCciuHhYTQ2Nk4qSLplyxaEhITAzc1tVlelTKQcb0FSFRUVBAUFISIiQiB+Z3fu3EFmZiZKS0vJ10hZWRlBQUHYuXMnCRsXRQTV27dvcerUKRw7dozlT+bk5ITExER4eXlBWlr6u/nlxeTuOXjwIOrq6kj7mjVrkJKSgsTERKirqy/gDikUyvcGFUCzgDGnKSoqwsjICPr6+nj27Bk6OjpYIeq6urrYvn07Nm7ciBcvXqCqqgp37txhZWG2tLSEmZkZVFRU8PTpU+Tl5eHSpUvER0hJSQk2Njawt7cnYd/v379HbW0t2traWELG3NwcLi4u2LRpEyt3T29vL2pra9HV1cVykN2xYwd27NgxZT23d+/eob6+HlVVVeQqjSlI6uvrCxMTE3A4nBlz95w+fRrl5eXEH0dOTg47duxAcHAwtmzZwnf01ejoKJqbm5Gbm4tLly6Rdn19fURERMDb23vekT5jY2NoamrCyZMncfbsWdK+efNmxMTEIDg4WKTRRNevX8exY8dQVFTEKkgaFRWFhISESeVnFjtv375FVlYWjh49SnL3cDgTBUlTUlLg6en5XQk9CoUiPlABNAukpKTg4+MDLpeLe/fuIS8vj1gjZGRkYGhoCDMzM+L0fPz4cZYlZ+3atbCyssLWrVsxPj6O69evo7OzE319faQPk7vH1NQUKioqRMi0trbi6tWrxOF4yZIlcHJygoODAysvzpcvX9DZ2Ynm5mbWvFu2bIG3tzcsLCwmCRAul4tbt26huroaHR0dRISpqqrCy8sLAQEBM+beGR8fx6VLl1BeXo6Ojg6WU3RISAj8/PymdGqejpcvX+L06dMoLi4mwlJaWhru7u6Ijo6eMrJstrx+/RpFRUXIzc0lPlpSUlLw8PBAfHw8yQ8kCmvP8PAwqqurcfz4cXR2dpJ2Q0NDJCUlITQ0FIqKit+VCLhy5QqOHj2K3NxcYm1bunQp4uPjsXfvXlKQlEKhUIQFFUCzgIlG4b2SUFNTg5mZGUxNTTE4OIhz586hu7ub+OPIy8vD3NwcNjY2WLlyJd6+fYuWlhZ0dnaSMhhMBmbe3D2MkGlqamI5UW/evBnu7u4wNzcnVhhZWVk8fvyYWIeYF4qsrCzs7e3h6+uLTZs2TToPY2GpqKhgXaXp6+vD398fTk5OkJeXn7aQ6MDAACorK1FaWsrao6mpKcLDw2Fvbz/lNdfXAkxaWhpcLhednZ3Iz89Ha2sry2IVGhqKiIgIaGtrT5prKlEwXdV4LpeLCxcuICsrCzU1NcQfSU1NDZGRkYiNjZ1UuFWYoexPnjzByZMnkZ2dTaxt0tLS8PX1RXJyMqytrVn9+Vljofx9puLrfsPDwygsLMTRo0dx7tw50r5161bs3bt3xtw9C+Gk/L36BYliPlHPzy/iso+FQtLP/zVUAM0CJSUlvHjxAhwOBxs3boS5uTnWrl1L/FN4hZGGhgasra1hZWUFOTk53L9/HydOnMC1a9fIVdjSpUtha2sLGxsbaGhoAJiwfrS0tKCjo4NcgcjJycHGxgaurq6sK5Dx8XFcvnwZdXV1rHBobW1teHp6TuvU/PLlS5K7h3HUlpOTg5OTEwIDA7+ZOffevXsoKSlBXV0dsYApKyvD29sbQUFBs/rr/fPnz6iqqkJubi7L4djc3BwRERHYsWPHvMsXfPnyBRUVFTh58iQrG7eJiQl27twJX19fvpMszhdG6B07doyVu0dTU5Pk7tHR0fmuflE9e/YMqampOHbsGBF6srKyCA4Oxp49e2Bra/tdnZdCoSwOqACaBTIyMvD19cWKFSugrKyMy5cvo7y8nBS7ZLIwW1lZQU9PD8PDw7h48SI6OjpI2DcAbNq0CQ4ODiQ/DZOEsKWlBTdu3GAVb3RxcWFFfQHAp0+f0NLSgvr6+kk1tjw8PLB169ZJ4cHj4+O4evUqKisrcf78eVYlcF9fX5LocDqxMTY2ho6ODhQXF+Py5cukfcOGDQgODoabm9uUYms6Hj9+jPz8fJw+fZpYwpSVleHn54ewsDCBlC94+vQpsrOzkZ+fTxJPKigokKKnxsbG816DXz5//ozCwkKkp6ezRJitrS2SkpLg7e39XdWp4nK56OjowJEjR1BSUkKuVVetWoXk5GQkJCRg5cqVVPhQKJQFgwqgWaCqqgo1NTV0dHTgxo0bREQoKyvDysoKjo6OUFNTw/Pnz1FTU4Pz588TC4mcnBwsLS3h7OxMIpaYUhbNzc0kuR6Hw4GJiQnc3d1hamrKuuK4e/cuGhoa0N7eTq7YlJWV4eHhAW9vb5ZTM/MyHRgYIE7NvNdU27dvR2hoKCwtLVlXUl9fH/X395NrLt5rGicnJ4SHhxOn6KnGMn0ZRkdH0dbWhoKCAnR0dJD2NWvWICYmBoGBgeQKZK5V2MfHx9He3o6srCxW0VldXV3ExsYiIiICampq067xrUzQwOyuu3p7e3HixAmcOnWKOK4rKioiLCwMu3fvnjZ3D79tc70CmwpBXIsNDAwgJycHR48enST0fvjhBwQEBLCE3kLl3xF2rh1xCV2XpJw8UyHOexMkknJOQUMF0Cx4/fo1jh8/Tv57zZo1sLGxgZGRESl4evLkSZY/jaamJhwdHWFtbQ1FRUXiQN3Q0IALFy6QKxBlZWU4OTnBxcWFCBkpKSkMDw/j7NmzqK2tZc27Zs0a+Pj4wMHBYcpw9N7eXlJQlPF1UVJSgpubG/z8/KCnpzdtJBeXy0VPTw8KCgrQ1tZG9rh06VIEBAQgKCgIOjo6fD+3t2/foqioCAUFBSxLmJ2dHWJiYuDg4DBvZ+P379+joKAAOTk5LOdvW1tbxMfHw83Nbd61v/hlbGwMtbW1OHbsGKsq/Lp167Br1y5ERUUREfa9cOPGDRw6dAg5OTnkWlVJSQkRERHYs2cPSyhTKBSKOEAF0CxYsWIF1q9fj2XLlsHOzg46Ojr49OkT2tvb0dHRQcK+ORwOjIyMYG9vT/7CHxkZIbl7eF/Q69atg4uLC2xsbFjXVv39/WhpaUFjYyO5YpORkYGNjQ08PT2hr68/6YUyOjqKs2fPory8nJXocP369fD394eLiwsUFRWnPd+XL1/Q3NyM4uJi9Pb2knYjIyMEBwfD2dl5Vrl7bty4gby8PJbDMVNTLSwsjJQvmI/4uXXrFrKysli5e1RVVRESEoLo6GhSS0yUuXuOHz9O/MGkpKTg5uaGXbt2wdnZeVrRuRgZGxtDdXU1Dh48iKamJtKur6+PlJQUxMTEzCr6j0KhUETJ9/PbWETEx8cDmHAkzs3NRXd3N/FvUFFRga2tLWxtbclf+G/fvkV7ezva29tZQsbKygqurq6kYrisrCwJR6+rq8PFixeJL9Dy5cvh7u4OV1fXKZPBvXnzBnV1daipqSFXaTIyMnBwcICfnx/09fVn9C959uwZTp8+jaqqKrJHeXl5uLu7Izg4mCQA5Ifh4WE0NDQgNzeX5ZhtYGCAqKgoeHh4zCjC+GFkZAR1dXXIzs5m1RLbvHkz4uLiEBgYyPKZEjZXrlzBiRMnUFJSwsrdExsbi8TExEmRZYud/v5+ZGZm4ujRo3jw4AGACaHn7++P/fv3w8HBgVp7KBSK2EMF0CyQlZXFtWvX0NHRwSrDsHr1ajg7O8PGxgaysrIkx09zczO6u7tZCRBdXV3h5ubG+sv48+fPJFMzb40tIyMj+Pj4sPx0GCHD5XLR3d2NyspKnD17llxTLVu2DD4+PggICGCJpa8tD2NjYzh//jxKSkrQ2dnJqqUVGhoKPz8/kviRnzpaT58+RXFxMYqLi0nuIxkZGXh6eiImJoaVu+drawy/ZSoY0Zmbm4uXL1+SsR4eHoiLiyNh44IsSzFdn8HBQZSWliI9PZ3lFG5kZERy90wlwsSt3ha/bUwKiNTUVBQWFhLftmXLlmHXrl3Ys2fPpJImCxFqLuzQdUny7RGndb9GXPYhbCTlnAsFFUCz4NOnTygoKACXy4WsrCy2b98OR0dH6OnpkWuu5uZmNDU1sQqSGhgYwNXVFaamppCRkSEi5smTJyR3D/NCkZeXh5OTEzw9PafM+ssUJC0rK2OF3RsYGMDPz4/UwpruquXDhw+orKxEcXExq/q7hYUFQkND4eDgwLevDJfLxfnz55GTk4PW1lYiojQ0NBAeHo7Q0NAps03PBi6Xi4sXL+LEiROora0lQk9dXR3R0dGIjo6eMj+QsHjy5AnS09NZBUnl5OQQGBiIXbt2wdzc/Lv6pfXlyxfk5+fj0KFDLKFnYmKClJQUREZGQklJ6bs6M4VCkQyoAJqBAwcO4MCBA6ykfDY2NlBXV2c5Hz9//hzNzc3o6uoiQkZRURG2trZwc3NjvaDHxsZw5cqVSbl7dHV14eHhAScnpyktB0+fPkV1dTUaGxuJk6mCggJcXFzg7+//zRIJvb29KCkpQX19PbmmUVVVhY+PD4KCgsg1DT/i59OnT6iqqkJ+fj4rd4+1tTXCw8Ph5OQ075DuwcFBlJeXIysrC9evXyftFhYW2LlzJzw9PSEnJycS3x4ul4uzZ88iLS0NVVVVrMiy+Ph47Ny5k+Rx+l549OgRUlNTcfz4cXKtKi8vj7CwMKSkpJBM2RQKhbJY4XCZP9sp0zIwMIClS5fiN7/5DUmYJyMjg+7ubrS1tbEcjnV0dODq6gpra2vIy8sTIfD+/fspQ97NzMzg6ek5ZZQMh8PB5cuXUVlZyaqFpa2tDV9fX7i7u0NZWXlKa4+MjAxGRkbQ2tqK0tJSlohYv349QkJC4OnpOSkB4Eyh7Pfv30d+fj4qKytJQVhFRUX4+/sjMjISGzZsmHYsLzNdgT148AA5OTkoLi4mYePy8vIIDAxEfHw8tmzZMuNc823j/RoMDAygsLAQJ06cYBV0dXBwwO7du+Hh4UH2Li5V2Oebzbm5uRlHjhxBeXk5EXqrV69GcnIyEhMTpy2JIi5V2OkVmHARF9ErLvsQNpJyTkHCvK/fv39P3Dimg1qAZoGSkhKGh4fR2tqKM2fOkOR6HA4H27dvh6enJ6uyOpfLxYMHD1BdXY3Ozk5iSVqyZAnc3Nzg6elJLAe8FpOBgQHU1NSgpqaGhI1zOByYm5sjODgY5ubmrBfu16Ll5cuXKC8vR3l5ObmmkZaWhrOzM0JDQ7Ft27ZpC5p+LVhGR0fR2NiI/Px8XLhwgbSvW7cOkZGR8Pf3JwkQ+fXlmaqtoaEBmZmZaG9vJ22rV69GbGwswsLCsGzZsnnl5JnN2GvXruH48eMoLCwkkWVM7p7k5GQYGhryNZc4CyBe3r17h8zMTKSlpeHOnTuk3dnZGfv27YOvr+83o9fERQDNdaw4l5aQpFw+4rIPUSBJZxVXqACaBc+ePcP//b//l/xlrKqqCkdHRzg7O2PFihVExAwPD6OzsxM1NTV4+PAhGb9x40Z4enrCwcFhUqZmYCLRYXl5OVpaWkjYuIqKCjw8PODr6wsdHZ0Zc/d0d3ejqKgIbW1tZI/q6uoIDAxEYGDgjAVNv4bJ3VNYWEgcjqWkpODs7IzIyEjY2NjM+wf43bt3KCgoQHZ2NnEq53A4cHV1RWxsLBwdHUVyxQVMCL2qqiocO3aMVZB08+bNSExMRHh4+Df/mlhs3LhxA4cPH2bl7lFRUUF0dDT27t3LEvMUCoXyvUEF0CzQ0tKCpqYmlJWV4ebmBjMzM5bl5tWrV2hoaEBLSwsJJ5eVlYWDgwM8PT1JjSxeETMyMoKOjg5UV1ezrtI2bNiAgIAAUpB0Ohin6NOnT+Pu3buk3dTUFKGhobC3t4eMjAxfQoIRUfn5+aivryfZppcvX46QkBCEhoZCS0sLwPz+erl+/TpycnJw+vRpVth4REQEYmJioKurKzLh8+bNG2RlZSEjI4NkypaRkYGPjw+SkpIEIvTEidHRUZSXl+Pw4cNobW0l7QYGBti3bx8iIyNnVdKEQqFQFitUAM0CZWVl/P3f/z2UlZWJ8BkfH8eVK1dQW1uLK1eukEioFStWwMvLC15eXpMsB9LS0nj58iWqqqpQU1NDEigyuXsCAwNhYGAwpSMxI54ePHiAkpISVFdXE38ceXl5eHp6IiwsbFLunplC2QcHB1FZWYn8/HyWCNu6dStiYmLg7e09yWI12+uuL1++oLKyEtnZ2bhy5Qr5fMuWLdi1axcCAgJY/kiCrsLO28ZEr2VkZKCsrIw4rqurqyMhIQEJCQnEcV1cfHuma+N33IsXL3D8+HGkpaURoSclJQU/Pz/s378fTk5OIimjMde55tNPkGPF+apsIebnF3HZx0Ih6ecXV6gAmiVM5NfHjx/R2NiIuro6Vsi7iYkJvLy8YGZmBmlpaZaI4XK5uHr1KioqKtDV1cW6pvLz84O3tzeWL18+7dpjY2Nob29HYWEhKyRZV1cXwcHB8PHxmdU1zaNHj3Dq1ClWQVJ5eXl4eXkhMjISW7duBcBfZNh0PH78GJmZmSgsLCQ+U7KysvD09ERsbCwsLCxEVqLi8+fPKCoqwrFjx1hO4du2bUNycjICAwPnnaRRnGAqzx88eBClpaUkYeeKFSuQlJSE5OTk7y5JI4VCofALFUCz5NGjR6itrUVHRwerIKmLiwu8vLymzEkzODiI5uZmlJeXs3L3bNu2Db6+vrCxsZkUjcXL+/fvUVlZiZKSEiK2pKSkYG9vj6CgIFhaWvJ9ZTQ+Po7Ozk7k5uaivb2dWKxWr16NsLAwBAUFzbtOFZM078SJE6yCpKtWrUJUVBQiIiJm5Y80Xx4+fIiMjAzk5OQQa5uCggKCg4ORmJgIU1NTke1FFAwODqKwsHBS7h5ra2ukpKQgJCRkxu83CoVCkQSoAJoFjx49wm9/+1vy33p6evDy8oKdnR3k5OQmXVk9evQIdXV1aGxsJNFECgoKcHd3h6+vL6mFNR23bt3C6dOn0dDQQMQWU5A0MDCQVTT1WwwMDKC8vByFhYUsx2wHBwdERUXBxsYGUlJS8/K9+fTpE8rKypCZmcmKJrK3t0dcXBycnZ0hLS0tEv+e8fFxtLa24tixY6ivrydCb82aNdi1axeio6OxbNkyoe9DlNy7dw/Hjh3DiRMnSPSfgoICoqKisG/fPhgbGy/wDikUCkV8oAJoFmzcuBEbN27EihUrEBAQMClKhsm9c/bsWVRUVKCnp4d8tmrVKvj7+8PDw2PKApGMb8+XL1/Q0NCAkpISVu6ZTZs2ISIiAh4eHpOcomfy77l+/Try8vJQW1tLHI6VlZURFBSE6OhoUouMYSpx8q1SGLdu3UJ2djZKS0tZlcBDQkKQkJBACpJOt4YgQ9nfvHmD/Px8ZGRksJI0urq6IikpiVUVnh+/FVH4AE0Fv2PHx8dRXV2N1NRU1NbWsoRecnIydu3aNWX9uIXIq0N9exbP/LNBnPYiaiT57N8DVADNAg6Hgx9//JFVzoLh3bt3qKurQ2VlJUl0KCUlBRsbG/j7+8PExGRGy8ezZ89QUlKCiooKVgSZi4sLgoODSS0tfvxlRkZGUFtbi5ycHJYI27RpE8LDw+Hn5wdlZeV5WWJGR0dRX1+PkydP4ty5c6R93bp1iImJQVhYGJYsWSKyaK7r168jLS0NRUVFrEzXUVFR2LVr1yQRtth5+/YtTpw4gcOHD6Ovr4+0e3h4YO/evfD09BSZbxWFQqEsRqgAmiVf5+Hp7e1FeXk52traiJPpsmXL4OnpCW9vbxI2PhVcLheXLl1CcXExzp49S/5619bWRkBAAPz9/Wd1TfP69WsUFRWhqKgI/f39ACZElLu7OyIjI6fMNj1b3rx5g7y8PJw6dYrUEpOWloa7uzt27twJW1tbkf1VNDw8jKqqKqSnp7Ny9xgZGSExMREhISHEaf174fr16zh8+DCys7PJteqyZcsQFxeHlJSUKbNxUygUCmUyVADNgaGhITQ3N6O6uhq9vb2kXV9fHwEBAbCzs5uxFtanT59QW1uLsrIylj8OU5DUysoK0tLS38y+C/yXiCooKEBDQwPJNq2hoYGwsDCEhIRAXV19XtYAJnotJycHFRUVJEnj8uXLERkZiZiYGGhpaYnM2vPs2TNkZmYiKyuLVRXe19cXycnJsLKy+q5M00NDQygtLUVqaio6OjpIu5GREX744QdERER8V9FrFAqFIgqoAJoFX758QWFhIerr64mvi4yMDBwdHREUFETCxnnhFR53794lBUl5Syx4e3sjIiJikj/OTL43nz59Qnl5OQoKCnDv3j3yuampKaKiouDh4cESYfz69vD2GxwcRFlZGbKzs1lh48bGxkhISICvry/LH2muNbj48QHicrlob29Heno6qqqqiNDT1NREXFwc4uPjSQSeIH10+PUBmor57qOvrw+pqanIyMjA69evAUx8zfz8/PDDDz/A3t6er2fJ796E3W+h6mjRshSCQ5z3Jkgk5ZySDhVAs6SiogKjo6PQ0tKCj48PPD09ZwwbHx0dxZkzZ1BcXMxKAKinp4fg4GB4eXlBRUWFbwvNw4cPkZ+fj9OnT7Oqwvv4+CA8PBwGBgYA5p+7JycnB3l5eSRsXE5ODj4+PoiLi/umP5MgGRwcREFBAdLS0lhJGq2trbFr1y74+flNWVZkscLlctHW1oaDBw+yCpLq6Ohg165dSExMhI6OzgLvkkKhUBY/VADNwIEDB3DgwAFibVBTU0NiYiJ0dXVhZWU1owh4+/YtKioqUFZWRv56l5KSgpOTE0JDQ2fljzM2NoaOjg7k5+fj7NmzpH3NmjWIiIhAYGDgvMsXjI+Po729HdnZ2WhqaiL+SLq6uti5cydCQ0NnTNIoaO7du4cTJ04gNzeXJFBUUlJCREQEEhISiNATlRATNp8/f0Zubi4OHTqEa9eukXYXFxfs2bOHr4KkFAqFQuEfDpd501GmZWBgAEuXLkVRURFxqp3qZSQlJYWenh6UlJSgsbGR5RQdGBiI4OBgaGpqfjOsnHfdkpISFBQUsIqFOjo6IioqCra2tpCSkuKrLMV0fd6/f4+ioiJkZWXhwYMH5DMmd8+OHTum9GcSZGV2Ztzo6Chqa2uRnp6OlpYW8rmenh6SkpKwc+fOSSkExKW6+lzbbt26hdT/396dR1Vx5XkA/4IsEVkUUBQExV2McQskauKGSwdFFBdkEZRNk3T3nDaTxGSmT8fJ5CSd6djJRKZVFhHFBaJE3OKCMUIUo0hc0koWNaCiELaHyM6dPzhU50XA9+Dt9f2c4zmhqFv1uxWo96Pq3vtLTMSuXbukp202NjYICQnBmjVrpESvo+Opck5d7NfVtoY8/VxOr7sMJQ5tk0s/5azt87qqquqJlRH4J6UG1NXV4eTJkzhw4IBSQdIxY8ZgyZIlmDlzplqvab777jvs3bsXJ0+elAYc29vbIyAgAEFBQRopX3Djxg3s3LkThw4dkqaN29raYsmSJQgNDcWQIUO6fQ5VlZWVYefOnUhJSUFxcTGA1huVr68vVq1ahRkzZuhsAUVdaG5uxpEjR7B582alRM/T0xOxsbEICwszuUUaiYgMDROgbiguLkZmZqbS2j3W1tbw9fXFokWLMHLkSJVfWzQ0NCArKwvp6em4evWqtH306NFYtmwZ5s2bh549e2ps7Z4LFy5I20eOHImQkBCNvEpTx9WrV5GYmIjMzEypIKmjoyNCQkKwcuVKeHh46CwWXSgrK0NKSgoSExOltXvMzc3xu9/9DjExMZg1a5bJJHlERIaOCZCaWlpacPHiRRw8eBDffPON0to9ixcvhp+fn1pJxP3795GRkYHMzEypfIGFhQXmzp2LFStW4Omnn+52zCUlJdi3bx/S09Px4MEDAK2vxObNm4ewsDBMmjRJZ4+G6+vrcfToUWzfvh0XL16Uto8fPx6RkZHw9/eHtbW1ST2qzs/Px9atW/HZZ58pJXptBUmfVBKFiIg0jwmQGkpKSvDOO+9Ir2kAwNvbG4sXL8aUKVMeK1EBtD/2xszMDOfPn0d6ejqys7OlmT79+vXD0qVLERgYCGdn5y5NXf/tOXbt2oWTJ09KA7mdnJyktXvc3NxUOlZXy1L8er+ff/4ZO3bswJ49e6SVsi0sLODv74+YmBhMnDixS8c3lDFAv9VWkDQxMVEp0ZswYQLWrl2LJUuWdFqQtKvnNZSxPYZyTl0dT9fHV5WhxKELcuoraQYTIDW4uLigrq4Otra28PPzw6JFi9T66/3hw4c4fPgw0tPTlcoXeHt7Y8WKFZg+fXq3Z/o8evQImZmZSE1NVVqk8dlnn0VoaCjmzp2rs2njQgicPn0aSUlJSgVJXV1dERoaitDQULi4uJjUjauoqAiJiYnYtm2b9ETP0tISgYGBiI2NNblFGomIjBUTIDVYWlrir3/9Kzw8PNQqsXD79m3s27cPhw4dktbu6dWrFxYsWIBly5bB09Oz23WbioqKsHv3buzbtw8KhQJA62yihQsXIiQkRGk2kbY9fPgQ6enpSE5OVhoUPn36dERERGDOnDkmNaVbCIGvvvoK8fHxSmv3eHh4YPXq1QgPD0e/fv0A8K9UIiJDYTqfQjoyYsQIlfZramrCmTNnsH//fuTl5UnbBw8ejKCgICxYsAA2NjbdiqW5uRlnzpzB3r17kZOTo1QJPCwsDIGBgTod1Pz9999jx44dSE9Px8OHDwG0zixrK0jaVqfKVJKAqqoq7Nq1CwkJCfjhhx+k7dOmTcPLL7+Ml156iQVJiYgMFBMgNVhZWUmvjzpay6e0tBT79+9HRkbGYwsgLl++HM8//3y7Tz/aSwo6WmuorKxMKkh679496XsvvPACwsPD232VpolxPO3t19jYiKNHjyIlJUWpTtXQoUMRGRmJoKAg2NradnoOQxnv05729vnnP/+JLVu2IC0tTXqiZ2tri5CQEERHR8PLy0ut46m6n7bH3hjbuCBdHE/Xx1eVocShL3LvP2kGEyANEELg2rVrSEtLQ1ZWltKA48WLFyMwMFCqU9Ud165dQ2pqKg4fPiytD9S7d28sWbIEwcHBj9US06bS0lLs2rULKSkpUlV4c3NzzJ07FxEREZg2bRrMzc1N5kbV1NSEI0eOYMuWLcjOzpa2jxo1CrGxsQgODtbp0zYiIuoeJkDdUF9fj6ysLKSlpeH69evS9gkTJmD58uWYMWNGpzN9VNHQ0IATJ05g586d+Pbbb6XtY8eORVhYGF566SWdVQIXQuDSpUtITk7GoUOHpCSsb9++CA0NxcqVK02uTlVJSQm2b9+O5ORkFBUVAWh90hcQEICYmBhMnToVZmZmJpPoERHJBRMgNVhaWsLKygpFRUXYv38/MjMzlYqF+vn5ITg4GKNGjZLadHUq+927d/HZZ58hPT1depVmaWkJPz8/hIeHY/z48dK+qry26s4rsLq6Ohw4cADJycm4cuWKtH3SpElYvXp1p2v3qBKbtl9jqXs8IQS+/vprJCQkIDMzU0r0nJycEBkZiejo6MeWEGAVds221eax9HH87jDk2DRNTn0l/WMCpIbi4mJ88sknSgVJ+/fvL63d4+Tk1K3jCyGQm5uLHTt24PTp09Jsor59+yI4OBgrVqyAi4tLt86hjtu3byM5ORlpaWlSomdtbY1FixZh9erVSkmYKaipqcHevXuxZcsWpSd63t7eiImJweLFi/HUU0/xJk1EZAKYAKnBwcEBV69ehZmZGaZMmYJly5bhhRde6PZMn5qaGhw8eBCpqalK08YnT56M4OBgzJ49u92CpNrQ0tKC7OxsbNu2DSdPnlSaWRYeHo4VK1bAycnJpJKA27dvIz4+Hjt27FCqPL98+XJER0dj3Lhx+g2QiIg0jglQJ+Li4hAXFycNaraxscGGDRswbNgwjQw4vnXrFnbt2oXPP/9cmk1kY2ODxYsXIzQ0FMOHD+/2OVRVWVmJ9PR0pKSk4NatW9L2mTNnIioqCjNnzjSpOlUtLS3IyspCYmIivvjiCynRGzJkCNasWYOQkBD07t1bv0ESEZHWmIm2Oz91SKFQwMHBAV9//bU0pburY3saGxtx+vRp7Nq1S2na+JAhQxAWFobFixdLs4k0WZaio32uXLmC7du3IyMjQ6oKb2dnJ63dM2zYMIMpN6GJbb/88gt27NiBbdu2KSV6vr6+WLt2LebNm6d0rQx5bI86+2mqXXfbavNYxnDe3zKUOLRNLv0k/Wv7vK6qqoK9vX2n+/IJkI6Ul5cjLS0Nu3fvlgqSmpmZYdasWQgLC8MLL7ygs5tEY2Mjjhw5gsTERKVFGr28vLB69WoEBgaqtdK1Mfj222+xefNmpYKkDg4OCA0NRWRkJEaOHAmAN2oiIrlgAqRFQghcvnwZu3btwtGjR9HQ0ACgdTbRsmXLEBQUJM0m0sUHb0lJCVJTU7Fz505p7R5LS0vMnz8fERER8PHxMamVixsbG5GZmYnNmzfj/Pnz0vYJEyYgKioKS5cuNblEj4iIVMMESAvq6upw5MgR7N69G9999520/emnn0Z4eDj8/Px0WpA0NzcXKSkp+OKLL9DU1ASgtfJ8eHg4wsLCpDpVpuLevXvS2j3FxcUAWhO9xYsXY82aNfD29uaTHiIimWMCpAYLCwupxER7Y2ru3r2L1NRUZGRkSLOJrKysMH/+fISFheGZZ56BmZmZ1spS/FpNTQ3S0tKQkpKiVKfK29sbERER8Pf3b3eRRn2UoNDEmj9CCJw5c0YqSNo2cN3FxQVRUVGIjIxE//79O2yvTmyqtOvufl1ta8ilJXSRdBpKYmsoceiCnPpKpoUJUDcJIXD27Fns3LkTX331lTSbaODAgQgODsayZcvg6Oios3hu3ryJbdu2KdWpsrGxwdKlSxEREdFpnSpj9PDhQ+zduxdbt25VWrtnypQpiI6ORkBAAKysrHiTJiIiJUyAukihUODAgQPYs2cPbt68KW1/8cUXERYWhmnTpqFHjx46mTre3NyM06dPIzk5GV9++aW0fdiwYVi9ejWWLl36xNHwxuaHH35AfHw8du3aBYVCAQDo1asXgoODERMTY3KJHhERaRYTIDVYWFigoKAAu3fvxqFDh1BbWwug9YN3yZIlCA8Ph6enp1IbTU5l/+1+ZWVl2L17N3bu3InCwkKpzezZsxEdHY1p06ZJxzCkiutdfc3U3NyML774AgkJCcjKypK2Dxs2DDExMQgLC4ODg0O7bTVZDb47+xlKW0N+VaaP46vKUOLQBTn1leTJKBOghoYGKBQKtVYkrq+vR2lpKfr27Qtra+sunffHH39EUFCQ9PWIESMQEhKChQsXws7OTmcLBebn5yMpKQkHDx6UZpY5ODhg+fLlWL16NTw9PU3q5lVWVobk5GQkJibizp07AFpvzvPmzcPatWsxa9Ysk1qkkYiItM+oEqCWlha8/vrr+Mc//gFzc3M4ODhg06ZNWLx4cYdtbt26hbi4OOzYsQMlJSX48ssvMWPGjC6df9iwYZgwYQLc3NwQGhqKSZMm6SzRqK+vx8GDB5GcnKxUFX78+PGIiIjAwoULYWNjo5NYdCU/Px/x8fFIT0+X1u5xdHTEypUrERUVZXKJHhER6Y5RJUAfffQRtm3bhrNnz+KZZ57Bpk2bEBQUhMuXL2P06NHttsnIyICLiwuOHTuGCRMmdDuG1NRUnY3tAVqndKempiI1NVWqCm9lZYWAgACpIKkpJQF1dXXYv38/4uPjlRZpnDBhAtauXYvAwMB2Z68RERGpw6hKYQwePBjLly/Hhx9+KG0bNmwY/P398fe//73Ttnfu3IG7u3uXngC1La397bffql2moitT2dsKkqakpODEiRPSlG5XV1dEREQgJCQEffv2Vesc+hrv0572xgDdunULSUlJSElJQXl5OQDltXt8fHw0es7u7GfI44I4tqdrDCUOfZF7/8l0mGQpjJKSEvz888+YOnWq0vYXXngB33zzjZ6i0qyHDx8iPT0dSUlJSjPLJk+ejMjISPzud7/TWVV4XRBC4PTp09i8ebNSQdKBAwciKioKERERJrdIIxERGQa9JkAVFRXSWjUdGTBgAHr06IHS0lIAgLOzs9L3nZ2dcfbsWY3GVV9fL405ASBNs9aW77//HikpKUhPT5euh52dHZYvX46VK1dKdapMhUKhkNbuKSgokLbPnj0bUVFRJpfoERGR4dFrAvTuu+8iLS2t031ycnIwePBg6ZVOWymHNo2NjRqvX/X+++9jw4YNGj3mbzU1NeH48eNITk5WSuCGDh2KyMhILFu2THrdZiquXbuGxMREpKWl4eHDhwAAW1tbhIWFITY2FsOHD9dzhEREJBd6TYA2btyIjRs3qrRvW9HQtiKebR48eCB9T1PeeustrFu3TvpaoVDA3d0dPXr0kJKtro73efDggTSoua0v5ubmmDdvHiIjI5Wqwndn7E1XxwC1pztxNDY24vPPP0d8fDxyc3Ol7SNGjEB0dDRCQ0PbXbtHXyUotF1uQl9ttXksfZ6jqww5Nk2SSz+JusJoxgDZ29tj/PjxOHHihLQWT1NTE7KysvCHP/xB2q+iogINDQ1wcXHp8rmsra27vFZQR369dk9jYyOA1qrwISEhWLlyJTw8PDR6Pn0rKSlBUlISEhMT8eDBAwCtC0n6+/sjOjoaL774Im/ORESkN0aTAAHAn//8ZwQFBcHb2xuTJ0/G3/72NwDAyy+/LO3z+uuvIzc3F9euXQMAPHr0COXl5dLTltLSUty5cwf29vZaLw9RW1uLQ4cOYfv27bh8+bK0/dlnn8Xq1avh5+en8URLn4QQyMvLw9atW7Fv3z4p0evfvz+io6MRERGhUkFSIiIibTOqBCgwMBA7d+7EJ598gg8//BBjx47FV199pTQl3NHRUelD9vDhw/jTn/4EoPU1Wtt/r1u3Tuk1lypUfQV28+ZN7NixA3v37lWqCr9w4UJER0e3ux6RIVdcf9K2tsrziYmJSomej48PXn75ZSxatEhpULM+pppre+q6nF5tGdJ5f8tQ4tA2ufSTSJuMah0gfWlbV+Cf//xnh+sAtbS04Msvv0RiYiK++uorabu7uzvCw8MRHBwszWAzlHpb3d32008/YevWrdi5c6c0U87a2hqBgYFYu3YtJk6caDA1uJgAaZehfCAbShzaJpd+EqnLJNcBMlQKhQJpaWnYtm0bbt++DaD15jRz5kysWrUKvr6+Gp+lpk8tLS04ceIE4uPjcfz4cWn7kCFDEBUVhdDQUDg5OekxQiIioidjAtRF165dQ0pKCjIyMvDo0SMArQO1g4ODsWrVKgwaNAhA+6/KjFFlZSVSU1MRHx+vtEjj3LlzsXbtWvj6+ppMX4mIyPQxAVJDY2MjMjIysH37dqU6VSNGjEBUVBSWLVuGXr16KbXRVwmKrr4C+638/HwkJiYiPT0dtbW1AForz69cuRIxMTEYOnRop+0N5RVYV9saemkJlqowPXLqK5E+MQFSQ3FxMf74xz8CaJ3S7efnh4iICEyePBlmZmYm8wSkoaEBmZmZ2Lx5s1KZkdGjR2PNmjUICgoyuUUaiYhIXpgAqcHT0xMhISFwd3dHSEiIydWpKi4uRlJSEpKTk6W1eywtLbFo0SJER0dLiR4REZGxYwKkpra1h0wlERBC4Ouvv0Z8fDwOHjwolRpxcXHB6tWrERUVxbV7iIjI5DABUoO5ubn0mkvVUhj62vakfaqrq7Fnzx7Ex8fjxo0b0vYpU6YgNjYWCxcuhJWVlcrHU2c/bU8118eUdI7t6RpDiUNf5N5/In1iAiQzv167p7q6GgBgY2ODoKAgxMbGYuzYsXqOkIiISPuYAHUiLi4OcXFxaG5u1nco3dLc3Izjx48jPj4eWVlZ0vbhw4cjNjYWwcHB7RYkJSIiMlVcCVoFbStL/vTTTx2uBA1o/zWWuscrLS3F9u3bkZSUhKKiImn7nDlz8Morr2DWrFkqVY1XNY6u7sdXW8ZzfHUYUiy6Jue+E+kTV4KWuQsXLmDLli3IyMiQCpI6OjoiPDwckZGRGDJkiJ4jJCIi0i8mQCaioaEBGRkZ2Lx5s9Iijc8++yxiYmIQGBiInj176jFCIiIiw8EEyMgVFhYiOTkZKSkpKC0tBdBaeX7ZsmVYu3Ytxo8fD4CP5ImIiH6NCZAaujINvj3dHSvUVpA0ISEBx44dQ9swrgEDBiA6OhqrV69+bJFGQ66urq9K6sZWhd2Qk1hDjk2T5NJPIjlgAmREOipIOmPGDERHR8PPzw+WlpZ6jJCIiMg4MAEyAgUFBdiyZQt2796NmpoaAEDv3r0RGhqKqKgoDB8+XM8REhERGRcmQAaqsbERR48eRWJiIk6fPi1tHz16NNauXYugoKDHKs8TERGRapgAqeHXFd+1Vc7i/v37SEpKwrZt23D//n0AreON/Pz8sHbtWkyfPv2x9vpYa0fbY28Mef0dOY33MZQ4tE0u/SSif2ECZACEEDh//jy2bt2Kzz//XFq7p2/fvoiIiMDq1avh4eEBgDdqIiIiTWACpEe1tbX47LPPsHXrVly+fFna/vzzz2PNmjVPLEhKREREXcMESA2/ngbfnXIWN2/eRFJSEnbs2IGKigoAwFNPPYXly5cjNjZWWrunPZqqBt/d/TTZ1lCmsmvjeLo+vqoMJQ5dkFNfiUh1TIB0pG3tns2bNysVJB00aBCio6MRHh4OJycnPUZIREQkH0yAtKyiogKpqalISEiQ1u5pK0gaFRWFefPmoUePHvwrlYiISIeYAHUiLi4OcXFxaG5uVrvtlStXEB8fj7S0NNTW1gIAHBwcsHLlSsTExLAgKRERkR6ZibY6CtQhhUIBBwcHFBUVwd7eHkD74wraCpImJCTg/Pnz0vYxY8YgNjYWQUFBsLW1bfccmi6j0dVjdWc/Tbbl2J6uMZQ49EXu/SeSu7bP66qqKunzuiN8AqQBxcXFSExMxLZt26SCpBYWFggICEBsbCymTJnCGzMREZEBYQLURUIInDt3Dlu3bkVmZiaampoAAK6uroiMjERERAT69+/PxIeIiMgAMQFSk0KhwN69e5GYmIjr169L2ydPnoyXX34ZCxYsYEFSIiIiA8cESA0//vgj/P398fDhQwBAz549sXz5csTExGDcuHHdGp+jj/30tf6OMZWlMPQneIYen6bIpZ9EpDtMgNQwbNgwODs7Y8CAAYiJiUFwcDB69+6t77CIiIhITUyA1GBubo5jx45hwIAB/IuUiIjIiDEBUoOZmRnc3Nyk/1a1jSHvp6l23W2rzWMZw3l/y1Di0Da59JOIDI+5vgMgIiIi0jUmQERERCQ7TICIiIhIdjgGSA1mZmbSmAVDGbOjaltDLi2hi3EghjLWxFDi0AU59ZWIjA+fABEREZHsMAEiIiIi2WEC1Im4uDh4eXnB29tb36EQERGRBpkJIYS+gzB0CoUCDg4OuH//Puzt7QEYztgeTbc15LFC+ji+qgwlDl2QU1+JyLi0fV5XVVVJn9cd4RMgIiIikh0mQERERCQ7nAavhl9Pg+/o+6oepzsx6LKdro6n6+OrylDi0Be595+ITBefABEREZHsMAEiIiIi2WECRERERLLDMUBq0NQYIENqq81j6fMcXWXIsWmSXPpJRNQRPgEiIiIi2WECRERERLLDBIiIiIhkh2OA1PCkMUAdtenO+TRFX2M+DGWsiaHEoW1y6ScRUXfxCRARERHJDhMgIiIikh2+AutEXFwc4uLi0Nzc/Nj3DL20BEtVmB459ZWISNvMhBBC30EYOoVCAQcHB5SWlsLe3h6A4ScsTIBMj5z6SkTUFW2f11VVVdLndUf4CoyIiIhkhwkQERERyQ7HAKlB19PgdXE8XR9fVYYSh77Ivf9ERNrGJ0BEREQkO0yAiIiISHaYABEREZHscAxQF3FsT9cZUiy6Jue+ExEZEqN8AlRWVoYbN26grq5O5TZFRUUoLi7WYlRERERkLIwqAWpsbERERARcXV0xZ84c9OvXD0lJSZ22+eSTT+Dh4YGpU6di3LhxGDZsGLKysnQUMRERERkio0qA3nvvPRw/fhwFBQUoKirC5s2bERMTg/z8/Hb3b25uxq1bt3Du3DkUFhbi/v37CAwMxOLFi1FSUqL2+dumwavzGuPXbTr71x3aPr6mYzNFuvj/TEREmmNUCVB8fDyio6MxePBgAEBISAhGjhyJhISEdvfv0aMHPv74Y7i5uQEAzM3NsW7dOlRXVyMvL09XYRMREZGBMZoEqLi4GPfu3YOPj4/S9ueffx6XLl1S+ThXrlwBAAwaNEij8REREZHx0OsssMLCQpSXl3e6j5eXF6ysrFBWVgYAcHJyUvq+k5MTfvnlF5XOV1lZid///vdYuHAhvLy8Otyvvr4e9fX10tcKhUKl4xMREZFx0GsClJCQgMzMzE73OXjwINzd3WFpaQkASolJ29dt3+tMTU0NFixYgF69emH79u2d7vv+++9jw4YNTzzmb+lijIehjCMxlDi0TS79JCKSGzMhhNB3EKp4+PAh7O3tsXPnToSEhEjbly5diurqahw7dqzDtjU1NfDz80NlZSVOnTr12FOk32rvCZC7uzvKyspgb2/fYTsmQKZHLv0kIjIFCoUCDg4OqKqq6vTzGjCiMUC2trbw8fHBkSNHpG11dXXIysqCr6+vtK2oqAgFBQXS148ePcL8+fNRWVmJrKysJyY/AGBtbQ17e3ulf0RERGQ6jGol6P/6r//C/PnzMXr0aEyePBkff/wx7OzssGbNGmmfDRs2IDc3F9euXUNTUxP8/f1x/fp17Nq1C3fu3MGdO3cAAB4eHnB0dNRXV4iIiEiPjCoBmjt3Lo4cOYJPP/0UmZmZGDt2LHJycuDg4CDt4+HhgcrKSgCtr83KysowYMAAvPbaa0rH+stf/oLFixerdX5truViKK9aDCUOXZBTX4mISJnRjAHSp7Z3iuXl5Vp7HWYoH8aGEocuyKmvRERyYJJjgIiIiIg0xahegRkjQ3nKYChx6Ivc+09ERMr4BIiIiIhkhwkQERERyQ4TICIiIpIdjgHqIkMfU2Lo8WmKXPpJRESaxSdAREREJDtMgIiIiEh2mAB1Ii4uDl5eXvD29tZ3KERERKRBXAlaBW0rS1ZUVOi9MKpcxrzIpZ9ERKQ5XAmaiIiIqBNMgIiIiEh2OA3eQMjplY+c+kpERIaJT4CIiIhIdpgAERERkewwASIiIiLZ4RggLZPTeBc59ZWIiIwbnwARERGR7DABIiIiItlhAkRERESywzFAXST38S5y7z8RERk3PgEiIiIi2WECRERERLLDBKgTcXFx8PLygre3N4DW1z5t/0zVr/vY2T8iIiJjZiaEEPoOwtApFAo4ODigsrIS9vb2+g5Hq5jcEBGRsWr7vK6qqnri5zWfABEREZHsMAEiIiIi2eE0eJngqy0iIqJ/4RMgIiIikh0+AVJB2zhxhUKh50i6jk+AiIjI1LV9Tqsyv4sJkAqqq6sBAB4eHnqOhIiIiJ6kuroaDg4One7DafAqaGlpwb1792BnZ9fukxRvb29cuHBB7eN2pZ1CoYC7uzuKiorUnpKvyzh13U4O16WrbeVwbXhdNNdOH9elO21N/doYQztDui5CCFRXV8PV1RXm5p2P8uETIBWYm5tj4MCBHX6/R48eXVofqKvtAMDe3l7ttrqOk9dFs+2629aUrw2vi2bbAbq9Lt1pa+rXxljaAYZzXZ705KcNB0FrwKuvvqrTdl2l6zh5XTTbrrttdXk+Y2nXVcbSP2O5Lt1pa+rXxljadZU+4+QrMCOjziqXcsLr0jFem/bxurSP16VjvDbtM9brwidARsba2hp/+ctfYG1tre9QDAqvS8d4bdrH69I+XpeO8dq0z1ivC58AERERkezwCRARERHJDhMgIiIikh0mQERERCQ7TIAM0K1bt5CXl4eamhqV9m9sbMS1a9dw8+ZNNDc3azk6/VEoFLh48SIKCwvVbnv+/PkuL9Bm6IQQ+O6773D58mU0NTWp3K66uhqXLl1CWVmZFqPTrwcPHuDChQv45ZdfVG5TVFSEixcv4u7du1qMTL+EEMjLy8OVK1dUbtPQ0ID8/HzcuHFDi5HpX2FhIXJycvDo0SOV9pfL/be+vh5nz57FzZs31W5rsPdfQQajqqpKzJ49W9ja2ooRI0YIW1tbkZKS0uH+9fX14u233xbOzs5izJgxws3NTQwdOlScPn1ah1HrRlxcnOjZs6cYNWqUsLGxEQEBAeLRo0cqtU1MTBTm5ubCzc1Ny1HqXkFBgRg1apTo16+fcHd3F25ubuLs2bOdtmlubhZvvfWWsLGxEePGjRODBg0S//7v/66jiHWjpaVFvPLKK8La2lp4eXkJa2tr8eabb3bapqioSPj4+Ig+ffqISZMmCXt7ezF9+nRRWlqqo6i1r7m5WfzP//yPGDZsmOjdu7d47rnnVGp38uRJ0bdvX+Hp6SmcnJzEuHHjRGFhoZaj1a0zZ86I+fPnCycnJwFAXL16tdP95XL/LSsrE6+//rpwdXUVNjY24tVXX1WrvSHff5kAGZDo6GgxcuRIUV5eLoQQIj4+XlhYWIiCgoJ29y8vLxfvvfeeUCgUQojWm9sf/vAH0adPH1FdXa2zuLXtwoULwszMTOzfv18IIURxcbEYOHCgeP3115/Y9vr168LNzU3ExsYa5C9gd02YMEH4+/uLpqYmIYQQa9asEa6urqK2trbDNv/5n/8pnJycxJUrV4QQrclCXFycTuLVlc2bNws7Oztx7do1IYQQ58+fF1ZWVmLv3r0dtgkJCRFjx44VNTU1QgghKioqhKenp9o3fEP26NEj8dprr4kffvhBvPrqqyolQBUVFaJPnz7i7bffFkK0fvC/+OKLYubMmdoOV6fi4uLEwYMHRV5enkoJkFzuv1euXBEffPCBKCkpEc8995xavw+Gfv9lAmQg6urqhI2Njdi0aZO0raWlRbi6uor/+I//UPk4165dEwDE+fPntRGmXrzyyivi6aefVtr2zjvvCGdnZ9HS0tJhu9raWvHMM8+IPXv2iHfffdcgfwG749KlSwKAyM3NlbYVFRUJMzMzkZGR0W6byspK0bNnT7Fx40YdRakfPj4+YtWqVUrbFixYIObNm9dhmzlz5oiwsDClbfPnzxfLly/XSoz6pmoClJSUJKysrERVVZW07dChQwKAuHXrlhYj1I/8/HyVEqD2mOL999fUSYCM4f7LMUAGoqCgAI8ePcKkSZOkbWZmZnj22WeRn5+v8nEuXLgAc3NzeHp6aiNMvcjPz1e6LgDg4+ODX375BXfu3Omw3WuvvYZx48YhKChI2yHqRdvPxcSJE6VtAwcOxIABAzr8mTl79ixqa2vh7++Pe/fuIT8/HwqFQifx6ooQApcvX273Z6az36W3334bJ06cwCeffIKsrCx88MEHyMvLw5tvvqntkA1afn4+hg8frrTCr4+Pj/Q9+hdTvP92lTHcf1kM1UCUl5cDAJycnJS2Ozk54fr16yodo7CwEG+88QbWrl2Lvn37ajxGfSkvL2/3urR9z93d/bE2GRkZOHr0KL799ltdhKgX5eXlsLe3h6WlpdJ2Jycn6efpt+7duwczMzPExcVh79696Nu3L77//nv88Y9/xF//+lddhK11NTU1qK+vb/dnpqPrArRWlw4ICMA777wDT09P3Lx5E5GRkRgzZoy2QzZo7f3+OTo6St+jVqZ6/+0KY7n/MgEyEG0fYnV1dUrba2trYWVl9cT2Dx48wNy5czFhwgRs3LhRKzHqi6WlZbvXBUC71+bhw4eIiorC+vXrpVkuhYWFaGhoQE5ODkaNGgVnZ2ftB65l7V0XoPOfGUtLSwghUFxcjMLCQlhYWODs2bOYPn06Jk6caNB/ramqq79LYWFhuH//PgoLC2FnZ4eKigpMmzYNCoUCCQkJWo3ZkLX3c9b2tSr3Jjkw5fuvuozp/stXYAZi0KBBAPDY1Nu7d+/Cw8Oj07YlJSWYNWsW3N3dceDAAaOrx/IkgwYNave6mJmZtfv0p6GhAV5eXsjMzMT69euxfv16HDt2DFVVVVi/fj0uX76sq9C1atCgQWhoaFCa4t3c3IwHDx50+DMzePBgAEBUVBQsLFr//pkyZQqeeeYZZGdnaz1mXbC2toaLi4tav0tCCBw+fBjh4eGws7MDAPTp0wchISHIzMzUesyGrKPfPwBPvDfJganff9VlTPdfJkAGYuDAgRg1apTSzbakpATnzp3DnDlzpG3Xr1/H1atXpa9LS0sxa9YsDBgwAJmZmXjqqad0GrcuzJkzB6dOnVJaF+nAgQN4/vnnYWtrCwCorKxETk4Oamtr4ejoiJycHKV/MTEx6Nu3L3JycuDr66uvrmjUtGnTYGVlpfQzc+rUKVRXVyv9zFy4cAG3b98GADz33HPo3bu30gdaU1MTHjx4YFKP7efMmYODBw9KXzc3N+PQoUNK16WoqAjnzp0D0DreztnZ+bExZUVFRSZ1XVTR1NSEnJwclJaWAmi9lnfv3sWlS5ekfQ4cOAB7e3s899xz+gpTL+R4/1WF0d5/9TwIm34lIyND9OjRQ7z77rsiIyNDTJ48WYwbN040NDRI+wQEBIjp06cLIYSorq4WY8eOFYMGDRLHjx8X2dnZ0r+ysjI99ULzHj58KIYPHy58fX3F559/Lt566y1hYWEhTp06Je1z9OhRAUBcv3693WMY6iyE7vrzn/8sevfuLeLj40VqaqoYOHCgCA8PV9rHzc1NvPbaa9LXcXFxwsXFRSQkJIijR4+KZcuWCScnJ1FUVKTr8LXmxo0bws7OTkRFRYnMzEyxYsUK4eTkpLR2zbvvvit69eolff3++++Lnj17ig8//FAcP35c/Pd//7ewtLQU//jHP/TRBa3Jy8sT2dnZIjAwUHh5eUn3jLYZlaWlpQKA2LFjh9TG399fjBgxQuzdu1dak8vUZhLeuXNHZGdni23btgkAIiUlRWRnZ4t79+5J+8jx/tvc3Cz1y8vLSwQGBors7Gxx6dIlaR9jvf9yDJABWbRoEY4ePYr4+HicPn0a06ZNw5tvvqk0yNXLywvV1dUA/jUI1t7eHhs2bFA61vvvv48XX3xRp/FrS69evZCTk4MPPvgA//u//4t+/frh1KlTSv3r06cPpk6dChsbm3aP4eHhIc1cMSUbNmyAp6cn9u3bh6amJqxbtw6///3vlfbx8fFRmpXyyiuvYMCAAdi5cydqamowZswYXL58GW5ubroOX2tGjhyJc+fO4aOPPsLHH3+MoUOHIjc3V+mVqYeHB6ZMmSJ9vX79eowcORL79u3D8ePH4erqigMHDuCll17SRxe05qOPPsLPP/8MoPX3Zv369QBanx5aWVnB0tISU6dORb9+/aQ2aWlp+Pvf/46EhAT07NkTiYmJCA4O1kv82pKdnY1NmzYBAKZOnYotW7YAANatW4fAwEAA8rz/1tfXSz8jffr0wYMHD7B+/XoMGTIEKSkp0nZjvP+aCSGEvoMgIiIi0iWOASIiIiLZYQJEREREssMEiIiIiGSHCRARERHJDhMgIiIikh0mQERERCQ7TICIiIhIdrgQIhEZvbq6OqnytJmZGfr06YMhQ4ZI9c5+rbKyErdv38b48eMBAFevXpXKrPTs2RNDhgyR6oERkeniQohEZPROnDiBuXPnwsfHB2ZmZrh58yZsbGywf/9+TJw4UWnf9957D5cuXcK+ffsAtK5i6+zsDCcnJ1RUVKCwsBAffPAB/u3f/k0fXSEiHeErMCIyepcuXYKzszPOnz+P3NxcFBYWwsnJCX/6058e2/fQoUNYsGABAOCnn35CZWUlEhISkJubi4KCArzxxhtYt24d7t+/r+tuEJEOMQEiIqOXl5eHsWPHSl8/9dRTmDp1qlTzqk1paSkuXrwIPz8/qR0Apba+vr5oaWl5rDI8EZkWJkBEZPR+mwAJIZCbm/tYAcYjR45g4sSJcHFxkdq5urrC0dFR2ufs2bOwt7fHyJEjdRM8EekFB0ETkVGrrKzEzZs3YW1tjdzcXFRWViIpKQkVFRVIS0tT2vfXr7+A1gRowIAByM3NRUNDA7Kzs/G3v/0NW7dufWwgdGVlJezt7WFuzr8biUwBB0ETkVHLysrC7NmzMXHiRFhYWOCnn35CS0sLzp49i1GjRkn7NTY2wtnZGadPn8aECRMAAI6OjrC3t0f//v1RVlaGH3/8EZs2bcKrr74qtSsvL0dAQACuXr0KS0tL7N27F7NmzdJ5P4lIs/inDBEZtUuXLsHGxgbffPMNzp8/j6KiInh4eOCNN95Q2u/MmTOws7OTkp9bt26hoqICn376KXJzc/HDDz/g7bffxhtvvIGKigqp3caNGzFixAhUVlYiPT0dsbGx4N+NRMaPCRARGbW8vDxMnDgRPXr0ANC6ls+6detw+PBhpZlchw4dwvz585XaAVAaJ/T666+jqakJe/bskbbl5ORg1apVAIAZM2agubkZ9+7d02aXiEgHmAARkVHLy8t7bLBzQEAALCwssH//fmnb4cOHHxv/4+HhIQ2IBoDevXtjzpw5SE9Pl7ZVVlaid+/e0td9+vRRekJERMaJCRARGa36+nr07dsXc+bMUdru4OCA2NhY/PjjjwCAgoICFBUVwdfXV9qnoaEBQUFBjx0zMjISDQ0N0urQ/fv3R1FREQBI0+MHDBigrS4RkY5wEDQRmbyPPvoIp06dwuHDh9Vu+3//93/YvXs3Pv30Uxw8eBDHjx9Hdna2FqIkIl3iNHgiMnl3797FypUru9R2zZo1uHv3LiIiIuDp6YnU1FQNR0dE+sAnQERERCQ7HANEREREssMEiIiIiGSHCRARERHJDhMgIiIikh0mQERERCQ7TICIiIhIdpgAERERkewwASIiIiLZYQJEREREssMEiIiIiGSHCRARERHJzv8Duf3wE4B8xQEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import DoubleExponentialDiskPotential\n", "\n", "dp = DoubleExponentialDiskPotential(hr=1.0 / 4.0, hz=1.0 / 20.0, normalize=1.0)\n", "# The Poisson-equation density requires numerical integration, so the agreement\n", "# is slightly less good than for Miyamoto-Nagai, but still better than a percent:\n", "print(\n", " \"Relative difference:\",\n", " (dp.dens(1.0, 0.0, forcepoisson=True) - dp.dens(1.0, 0.0)) / dp.dens(1.0, 0.0),\n", ")\n", "dp.plotDensity(rmin=0.1, zmax=0.25, zmin=-0.25, nrs=101, nzs=101);" ] }, { "cell_type": "markdown", "id": "48356ca2", "metadata": { "papermill": { "duration": 0.005329, "end_time": "2026-06-30T01:16:49.951851+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.946522+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Flattening\n", "\n", "We can evaluate the flattening of the potential as $\\sqrt{|z\\,F_R / R\\,F_Z|}$:" ] }, { "cell_type": "code", "execution_count": 15, "id": "60b3d4e4", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.963882Z", "iopub.status.busy": "2026-06-30T01:16:49.963672Z", "iopub.status.idle": "2026-06-30T01:16:49.967605Z", "shell.execute_reply": "2026-06-30T01:16:49.966692Z" }, "papermill": { "duration": 0.011075, "end_time": "2026-06-30T01:16:49.968310+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.957235+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flattening of Miyamoto-Nagai at (1, 0.125): 0.4549542914935209\n", "Flattening of MWPotential2014 at (1, 0.125): 0.6123167530565863\n" ] } ], "source": [ "print(\"Flattening of Miyamoto-Nagai at (1, 0.125):\", mp.flattening(1.0, 0.125))\n", "print(\n", " \"Flattening of MWPotential2014 at (1, 0.125):\",\n", " MWPotential2014.flattening(1.0, 0.125),\n", ")" ] }, { "cell_type": "markdown", "id": "4dd4641cc4064e0191573fe9c69df29b", "metadata": { "papermill": { "duration": 0.005561, "end_time": "2026-06-30T01:16:49.979483+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.973922+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Plotting potentials\n", "\n", "galpy potentials have built-in plotting methods:" ] }, { "cell_type": "code", "execution_count": 16, "id": "8309879909854d7188b41380fd92a7c3", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:49.992146Z", "iopub.status.busy": "2026-06-30T01:16:49.991773Z", "iopub.status.idle": "2026-06-30T01:16:50.199938Z", "shell.execute_reply": "2026-06-30T01:16:50.198801Z" }, "papermill": { "duration": 0.21558, "end_time": "2026-06-30T01:16:50.200765+00:00", "exception": false, "start_time": "2026-06-30T01:16:49.985185+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the potential in the (R, z) plane\n", "mp.plot(rmin=0.01, rmax=3.0, zmin=-0.5, zmax=0.5, nrs=50, nzs=50);" ] }, { "cell_type": "markdown", "id": "d6ee5a33", "metadata": { "papermill": { "duration": 0.005792, "end_time": "2026-06-30T01:16:50.213390+00:00", "exception": false, "start_time": "2026-06-30T01:16:50.207598+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can also plot the density of a composite potential like `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 17, "id": "3ed186c9a28b402fb0bc4494df01f08d", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:50.226544Z", "iopub.status.busy": "2026-06-30T01:16:50.226332Z", "iopub.status.idle": "2026-06-30T01:16:50.492647Z", "shell.execute_reply": "2026-06-30T01:16:50.491463Z" }, "papermill": { "duration": 0.274011, "end_time": "2026-06-30T01:16:50.493289+00:00", "exception": false, "start_time": "2026-06-30T01:16:50.219278+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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nKfYQU2Tpj3/8I+688078/Oc/x5w5c/D6669jYGAAzz33nM/PdXd349Zbb8Xzzz9PU5dHOq666ioYDAY0NDRERRYax3FYuHAhgMGK3tGEKVOmABgUTkdTUU8hkFBcrJYP4DiOirxHYijObDZDqVTC4XCMyqKDKpWKNkyOFs1kNIJ4lpqbmyNsiQSxiBmy1NXVhaNHj+LKK6+kf1OpVFixYgV27Njh87Nr167FlVdeiZUrVwbNHpfLFdUTq1arxerVqwEMeuSioQjg/PnzAQy27IimVWd6ejpMJhPsdnvUV8gmZCna9VW+kJOTA2BkkiWZTIaMjAwAozcUR2pNSbol75A8S7GHmCFL1dXVcLlc9EUkSE1N9Tko/fOf/8TRo0fxl7/8RfS5rFYrOjs73TY+jh49iieeeAKnT58WfxFhxsKFC5Gamoru7m5s3rw50uYgJSUF48ePh8vlwt69eyNtDgXHcdS7VFJSEmFrfGPs2LEABgfZWBV5R1v5gGCDkKVoL3QaKpAxWvIseQchSyNdEjKSEDNkiYgFlUql299VKpVXTc6FCxfw8MMP480334RGoxF9rieeeAJGo5FuRFTrcDjgcDhgt9uxa9cudHZ24qWXXsJbb72F7u5u+v/+tmDVa/K3cRyH66+/HgDw1Vdfobm5OeK1goh3ae/evSE9T6CYPHkygOjXLel0Ovo8BhqKC2b9LGDoNYqEMuJCWdspGAjk2WM9S9F2HWIw3O8iGlqeROp5EnteEoZramqK+udBwiBihiyRODi/PHxzczP9Pz6+/PJL9PT04IYbbkBBQQEKCgpw5swZvPbaaygoKPBKsh599FF0dHTQjV8zheM43H///Vi0aBE4jsOhQ4fw5JNPRmUIZ/LkyRg3bhzsdjs++uijSJuDOXPmQC6Xo7y8PKqabRLP0oULF9Df3x9ha3yDeJdiVbdEPEsVFRUjcqIgIm/JsyR5lryBkCWbzRazHuLRhpghSxaLBVlZWR7d6/fs2YNZs2YJfuauu+5CSUkJNm/eTLcxY8bg+uuvx+bNmyGXywU/p1arER8f77bxoVKp8L3vfQ9r1qxBUlISOjo68OKLL+Ldd9+NqsmW4zjceOONAIADBw5EXCdiMBioFyeaQnEWiwXJycmw2+1RHVoFvsuIi1WylJWVBblcjp6enhEZhhjtmqVo8CxFO9RqNYxGIwBJtxQriBmyBABr1qzBSy+9RD04L7zwAkpLS/HjH/+Y7vP//t//w6pVqwAARqORepTIplKp6N+Dgfz8fDz00EM00+vAgQN48skno6qZbXZ2NubMmQMA+PDDDyNsDTxCcdGAWNItxXpGnFKppIQi0uQ9FBjttZYkz5I4sKE4CdGPmCJLv/71r3HzzTdj6tSpMJlMeOyxx/Cvf/2LeiqAQZZeWVkZVrtUKhWuvfZarF27FomJiWhtbcWzzz6LjRs3Rk2tldWrV0Mul+PMmTMRz6SaOXMmlEolGhoaoqr7PHmOoq0lCx+E6Dc0NAgmH8QCSEZcNH3/wQJpJtvQ0DAiC2/6g0SWxEEiS7GFmCJLcrkczz77LFpbW/Htt9+irq4Ot956q9s+TzzxBL744guvx/jss8/w29/+NiT2jRkzBo888giKi4vhcrmwfft2PPXUUx46q0ggKSmJenQ+/fTTiNqi0WhoT7YDBw5E1BYWkyZNAhD9uiW9Xk9DHYFUsI8msLqlkYbk5GQolUo4nc5RWWuJNNNtb2+PipIl0QopIy62EFNkiSAuLg5ZWVlQKBQe/5eSkkKzhYSQlZXlVRAeDGg0Gtx666344Q9/iLi4ONTW1uLZZ5+NCsJ09dVXQy6X4+zZsxEP4cydOxfAIFmKllAcq1uK9grZxLsUq2RptNRaGo0ib6PRSLOPRyNZFAvJsxRbiEmyFCkEUhKgqKgIv/jFL2A2m9He3o7169ejsbExoNR/sWmoYo+XmJhIG9p+8sknwz7vcGybMmUKVCoVGhoaUFZWFvRU36GWGyDepRMnTgT1PgR7I2TpwoULEUuTHg6G6lmKlWsloThvGZ+Rfn5Cee84jqOhOIkseYfUHy62IJGlEMJoNOL++++H2WxGR0cHnn/++YiXt7/qqqugUChw/vz5iHpPoj0Ud/LkyQhb4hukfECk9WdDBfEs1dfXR3XIc6gYzZ4lQNItiYEUhostSGQpxIiPj8eaNWtgsVjQ0dGB5557LqIvh8lkot6lzz77LKKr8NmzZwOIrlAcIUvnz5+P6nY2xLNUVVUVk2QjISEB8fHxcLlcHnXMRgKIZ0kiSxJZ8gYpDBdbkMhSGGAwGHD//ffDYrGgs7MT69evj6iGiXiXLly4EFHt0tSpU6FSqdDU1BQ1pRbS0tJon7ho1i0lJSUhMTERTqcTly5dirQ5AWOkN9Qd7WSJiLwlsuQdRDsrkaXYgESWwgSDwUA9TJ2dnfjHP/6Brq6uiNiSmJhI60J9/vnnEbEBcA/FHTx4MGJ2sOA4jnqXormEAMdx1LsUi2QJGNnlA0gYLpqq1IcTkmbJP6QwXGxBIkthhF6vx49//GOYTCY0NzfjhRdeiFhq7RVXXAGZTIazZ89GdLIi1dcPHToUMRv4KCwsBICor+Q9ZswYALGbEZednQ0AYa+LFg4QslRfXx9Qv72RAsmz5B8kDNfZ2RmTofTRBokshRlE9K3X61FTU4OXX34ZAwMDYbcjKSmJEpUtW7aE/fwEU6dOhVwuR21tbdSELIqKigAAZ8+ejZqiokKQyFL0wmw2Qy6Xw2azjUrPAakDJnmWvMNoNEKlUgGQvEuxAIksRQApKSm4//77odFoUFpaijfeeMNrU99Q4oorrgAAHDlyJGJZejqdjpKTaPEuZWVlQa/Xw2q1RnWIi5Cl0tLSmPResGG4aBH4BwsKhYKGoqJlERBOsJ6lkfbdBgscx0ki7xiCRJZ8YP369SgsLERxcTEA/3WWxG5OpxNpaWn40Y9+BIVCgVOnTuHtt9+G3W4PqA5ToBu/nkpmZiYKCwvhcrmwdevWiNVsmTlzJoBBshQNNWVkMllMhOKysrKgUqnQ19cXVG1MsOvxePt8RkYGOI5DV1dX0DuvR0M9Jn+1lkYyiB6nv78fHR0dQTtuNHyvwYQ/sjSSrjXWIZElH1i3bh1Onz4dMo/HmDFjcNddd0Emk+HIkSPYsWNHSM7jC8S7tGfPHnR3d4f9/AAwY8YMcByHS5cuRUWlc+A73VI0i7zlcjny8vIAxGYoTqPRUO/LSBR5j2aypNVqkZCQAEAKxfmCVJgydiCRpQijqKgI1113HQBg8+bNKCsrC+v5x48fj+zsbNhstoiQNWCw5g4psnj48OGI2MAHIUtnzpyJ6hAXCcVFc7jQF4huaSSTpdEYhgOkWktiIIXhYgcSWYoCzJs3DzNmzIDT6cSGDRvCmiHHcRz1Ln3zzTcR65JOQp3RQpYKCgqgUqnQ1dWF6urqSJvjFYQsxWol75FMlkZ7+QApI84/JM9S7EAiS1EAjuNwww03ICkpCe3t7fjwww/Dev7p06cjISEBXV1dOHr0aFjPTUB0S2fOnEFvb29EbGChUCgwfvx4ANGtW8rPzweAsHskg4WRnBEnkSWJLPkDIUuRboMlwT8kshQl0Gg0uP322yGTyXDs2LGwkha5XI7FixcDALZt2xa287JIS0tDamoqHA4HSkpKImIDHxMnTgQwSOCiFcSzVF9fHzHN2XCQlZUFYGSSJTYMNxqFuFIYzj+IEF7yLEU/JLIURcjJycGKFSsAAB9++GFYxc4LFy6EQqFARUVFxFqPzJgxA8BgKYNoACFLZ8+ejbAl3qHX6+kKPhZ1S6R8QFVVVVRrw4YCQpb6+vrQ1tYWYWvCD8mz5B9SFe/YgUSWAkCwSgf42pYsWYKcnBz09/fjX//6l6hyAsFIoTcYDDQU9vXXX4e1dAAwmCJLyNLx48fhcDjCdl5v27hx48BxHOrq6tDS0iKqPEMkQEJxly5dirkU49TUVCgUClit1hGXNaVSqWiYZTSKvKWWJ/4RTs1StJddiHb7JLIUZZDL5bjlllugVqtRVlaGr7/+OmznXrp0KYBBkXUwa6OIxbhx46DT6dDV1RUVqfB6vZ5qaqLZu8QWp4w1KBQKZGZmAhiZoThybaNRtySF4fyDeJaam5sjUphYgnhIZCkKkZSUhGuvvRYA8OWXX4YtUygnJwf5+flwOBz45ptvwnJOFgqFAlOnTgWAiAnN+ZgwYQKA2BB5x2IYDvhOtzQSM+JGc/kAEoZrbGyUiIAXJCUlAQCcTidaW1sjbI0EX5DIUpRixowZmDZtGpxOJ958882wpfQvWbIEALBz586I9EUjobhoIUuxJPKO1bYno6F8wGgkSykpKZDJZHA4HFK2lxcolUqYTCYAkm4p2iGRpSgFx3G46aabYDAY0NTUFLZw3PTp02EwGNDR0RGRrLSpU6eC4zhUV1dHxQBLPEuXLl2KSMNjMcjIyIBSqUR/fz/q6uoibU7AIGSpqqoqwpYEH6OZLCkUCqrJicXnMlyQMuJiAxJZimLodDpcf/31AAZF1+EQSioUCsyfPx8AsGvXrpCfjw+9Xk+reX/77bdhPz8fqampMBqNsNvtURvmUigUtO1JLOqWJM/SyIWkW/IPiSzFBiSyFOWYOnUqJk6cCIfDgffeey8sYZaFCxcCAE6ePBmROPq0adMADGbFRRocx1HvUjSLvEcCWaqtrY1YBflQQaq1JJElfyDaLilrMLohkSUfWL9+PQoLC2krDofDAbvd7nUTWx5ATAo6Wxbg+uuvh1KpRGlpKQ4cODDk0gFiz2k2mzFu3Di4XC7s3r07pCULhNJBCVk6efKkx+QZzHOK3UglbzFkKRL2AZHpEResVN+UlBRoNBo4HA5KKsKVNiz2nRgqiGepp6cnIhmmkUYgZCma08ZDmdYeq56lUN6TaIRElnxg3bp1OH36NA4dOuTxf5WVldiwYUNYWnOYTCZceeWVAICNGzeGpVIz8S7t2bMn7KLhnJwcJCQkwGq1RoU3hyVL0fryk4y4WPQscRw3YkNxGo0GycnJAKTyARKEQciS5FmKbkhkaQhwOp345JNPcOnSJbz00kthecgXLVqE9PR09PX14csvvwz5+WbMmAGdTofW1tawZ4JxHBdVobiCggLI5XK0trZGbcYKIUs1NTXo7++PsDWBQxJ5j0wQsiQJvL1DquIdG5DI0hAgk8lwyy23IDExEe3t7XjllVdw7ty5kJ5TLpfT2kv79+8P+SpVqVRizpw5AIDdu3eH9FxCIGTp2LFjYT83H2q1mpKRaC0hYDKZkJiYCJfLhfLy8kibEzBGqmcJ+I4sVVdXR9iS8EPyLPlHrIbhRhsksjREmM1m3HfffcjPz4fNZsM777yDAwcOhPScY8aMwZQpU+ByubBp06aQngsY9GYBg1lp4W7SOmnSJMjlctTX10fFQEtE3qEmxcPBSBB5j8Qq3qPZs0QE7pJnyTukHnqxAYksDQNarRa33347LaS4adMmbN68OaQan1WrVkEul+PcuXM4f/58yM4DDA7y2dnZcDgcOHjwYEjPxYdOp6NaoWgoIRCIyDtSiITIO1ggDXVHMlkazZ6lrq6usC+4YgXkHjU1NUWkELAEcZDI0jAhk8lw9dVXY9myZQCAvXv34t133w1ZCnRycjLmzZsHYJCchVp8TWou7d27N6TnEQJpfRINuiXiWSotLYXVao2wNcKIZZE3IUsNDQ3o6+uLsDXBBekPNxo9S3q9HvHx8QAk75I3JCcnQyaTweVySbqlKIZEloIAjuOwcOFC3HTTTZDL5Th9+jRee+019PT0hOR8K1asgEajQU1NTciJxOzZs6FQKFBVVRV28S3RLZ0+fTriBMVsNiMxMREOhyNqPTdsj7hozdrzBqPRCKPRCGDkibxZz1KsfS/BQFpaGgCJLHmDXC6XQnExAIksBQB/9ZOKiopw1113QaPRoKqqCi+++CJtIsluvmo1sZu3mi86nY72cPviiy8wMDAQUO0mMbWdyKbT6TBlyhQAg2UEwlk/KCMjA0lJSbDZbDh9+nRAE02wa4BwHEdDcdGqW8rNzYVMJkNnZ6dgMdFQ1HcSA7HHIt4lXwL1SNV2Gc55CVnq7e1FW1tb0G2LdhCyVFtbOyrq8QwFkhA++iGRpSAjJycH99xzDxISEtDa2oqXX345JC/AwoULER8fj7a2tpBnq5FQ3MGDB8MaU+c4jobiokG3FO2VvNVqNQ35RKv3yxdGqshbrVbTjKfRqFuSPEv+IXmWoh8SWQoBUlJScO+999K6SG+++Sa6urqCeg6VSkULVW7dujWkxTELCwthNBrR09ODEydOhOw8QmB1S5FefUa7Zwn4TuQdy7qlkUaWgO90SxJZkiAE4lmSClNGLySyFCLo9XrcddddSE5ORldXF9577z04HI6gnmPmzJmwWCzo7e3FN998E9Rjs5DJZJg7dy4AYN++fSE7jxBICYHGxsaIr7oKCgogk8nQ0tIStUJMUj4gFj1LYsJwsYrRnBFHyNJoFLiLhVS8M/ohkaUQQqPR4LbbboNarUZVVVXQK2/LZDJcccUVAIBdu3aFNIuIkKVTp06hs7MzZOfhQ6PR0PBXpENxGo2GkpFoDcUVFBQAiG2yVFFREXEvYrAxkiuU+wMhiqOx3YtYsLouCdEJiSyFGCaTCTfccAMA4NChQ0EPYxUVFcFisaCvrw979uwJ6rFZpKWlIScnB06nE4cPHw7ZeYQg6ZbEg4ThKioqMDAwEGFrAkNWVhZkMhm6u7vR0tISaXOCiqysLACjmyxJniXvkIp3Rj8kshQGjBs3DosXLwYAfPbZZ0F9IWQyGVasWAEA2LFjR0hT7Il3KdSVyvkg2XhnzpyJOAGI9kreZrMZBoMBDocj5lqHqNVqOmnEmu3+QMjSSNRj+QMhS11dXWH1SscSJO9b9EMiSz6wfv16FBYWori4GABgs9l8br7KACxYsAD5+fmw2+1466230NPT4zeF31+pArJNnToVSUlJ6Onpwd69e0WVBBjKNnPmTMhkMlRUVPhNAw5083Uf0tPTkZiYCJvNhlOnToU9rZ09HiFLly5dEiRuwU7PH0o6P/EuXbx4MeZSs3NzcwHErm7J2/dCBN51dXUYGBiISPmDYEPsM6nT6ZCYmAgg+rxLgb7/oTovCcM1NTWhv78/Zp6B0QSJLPnAunXrcPr0aRw6dGjYx5LJZLjuuuuQkJCAtrY2fPDBB0Grvi2Xy2kF8R07doSserjBYEBRURGA8HqXoqmEgMVigdFohN1uj1pdENEtXbx4McKWBI6RKvI2m83QaDRwOp2j0nsgheJ8w2QyQa1WA5DKB0QrJLIURmi1Wtx4441QKBS4cOFCUDPYZs2aBaPRiM7OzqCQO28gobiDBw+GvNUKCxKKizRZ4jgu6nVLsUyWYt2z5A0cx0m6JUhkyRs4jpNE3lEOiSyFGampqVi9ejWAQS9QsLwTCoUCS5cuBQBs27Yt6GUKCCZPngytVou2traw6naKioogk8lQW1sb8Vok0d5UlyVLsebKJ9mGI40sAd/VWhrNZGk0lk4QC6LXk8hSdEIiSxHAtGnTMGvWLADAxx9/HLSU/7lz50Kv16OtrS1kHhilUomZM2cCCG8oTqfTYezYsQAi710qLCwEgIBbsIQLOTk5UCqV6OnpibmBl3iW6urqRlxDXVI+YCQSQX8YzV41sZAIZXRDIksRwpVXXomkpCR0dnZi06ZNQTmmUqnEwoULAQx6rUI1kRPB+5EjR0KmjxICCcWFunmwP4wdOxYKhQLt7e1RmeqrUCioyDtas/a8ITExEYmJiXC5XCOOVBCv2UjL9BOD0VxnSixGarufkQKJLEUIKpUKN9xwAziOQ0lJCU6ePBmU486fPx8qlQo1NTW4cOFCUI7JR0FBARITE9HX1xfW9idE5H3q1KmIlhBQqVQYN24ctSUaQew7f/58hC0JHPn5+QBis7CmL4xUPZYYECIwGomiWIzmljixAIksRRCZmZlYtGgRAGDjxo1B6R8XFxeH2bNnAwC2b98+7OMJQSaT0TBiOENx2dnZSEhIgNVqjbjHhGQFSmQp+Ijl/na+QMhSdXV1WD2y0QBCllpbW9Hd3R1ha6ITUqgyuiGRpQDgr86S2LpI7LZo0SKkpaWhr68Pmzdvdvs/f3WYvG2LFi2CTCbD+fPnUVlZGbQ6S+xGQnEnTpxAd3f3sGs7iQFbQuDYsWNBq0skBvzPEd2S2LpP4a6fQ8jShQsXQnbOYF4vuz8JV5WWlgbt+4qGWkZmsxlarRZ2u11UVlgw39dQbIHAYDDQWktSmEkYQw1VRuOzHkpE6lolsjRE1NbWYtOmTbDb7cM6jlwuxzXXXAOO43Dy5MmghB5MJhMlFaFqsJuRkYH09HTY7XYcPXo0JOcQQrTUW5owYQI4jkN9fX1UtubIzc2FUqlEd3d3zIm8SRhupHmWZDIZnRDLysoibE34IWlyfIOE4To6OtDR0RFhayTwIZGlIcBut2Pjxo04f/48Pv7442G71NPS0qin5osvvhg2AQOAyy67DMAgqQjFZM5xHA33HTx4MOjH94bJkyeD4zjU1NSgqakpbOflIy4ujoZVTp8+HTE7vEGpVFLSEWuhOBKGq62tHXEZcZJuSSJL3qDX66n3TQrFRR8ksjQEKBQKrFq1CkqlElVVVfj000+HTXCWLFkCvV6P1tbWoOiAMjIyMG7cOLhcLuzevXvYxxMCIUvnzp1De3t7SM7Bh16vpyGmSGfFTZo0CQCCJs4PNqK9HpQ3JCQkwGQyweVyjTiRNxtiHG0g1dlHo1dNLMg9koTw0QeJLA0RmZmZuOGGG6BUKlFZWYlNmzYNqxCkRqPB8uXLAQC7du0KigiSNO89dOhQSFboycnJGDNmDFwuV0irhvMxbdo0AIO6pUiCkKWSkpKI2uENEydOBDDYgDjWQGpqxZpXzB+I1yxUmarRjJEaXg0myD2SCGX0QSJLw0B6ejq+973vQS6Xo7S0FJ999tmwWoBMmTIFaWlpGBgYwI4dO4Zt37hx42CxWGC1WkMWKpszZw6A8IbiZsyYAWDQo2O1WsN2Xj4mTZoEjuNQXV2N1tbWiNnhDUSEfv78+aCEdsOJWM7m8wVCAmOxuvpwQYjiSPMWBhMjtWzGSIBEloaJ7OxsrF69GjKZDGfPnsXnn38+5EGQ4zhceeWVAAa9JsNtqMhxHC1NsHv37pC0QJk5cyZkMhkqKirC1oYkKysLycnJsNlsEU3dNxgMNKwSjd6lzMxMxMXFwWq1xtxqnoQQI10iItjIy8uDTCZDZ2cnGhsbI21OWEGIQG1tLXp7eyNsTXRipJbNGAmQyJIPrF+/HoWFhVR87XA4YLfbPbasrCysXLmSZrRt3rwZNptNcF+73e6zlEBGRgYmTpwIl8tFs+38lR/wVUZg2rRpiIuLQ3t7O7799ltRpQfElj1wuVzQ6/XUg3HgwIGwpSyTUNzRo0cjmj49efJkAINkSSxJDpdtHMfRUBxpzSJmE1uiQiyGkupLmhVfuHDBjeTHepq0Wq2mQudYbHQ8HCQlJVEBc6jDTJF6ToZ73mjwLAX73sX6O0sgkSUfWLduHU6fPi1KjzNmzBisWrUKwGAG2nDajSxbtoyG9oa7slYqlTRUFqoyAoRMHjx4MGwP/fTp0wF8V28pUiBkKZyVzAMB28culpCVlQWNRoP+/v4Rlz1FQnGjWbckhZmEQTxLVVVVEZUYSPCERJaCiIkTJ9Iw2pEjR7Bnz54hHSchIYESnC+//HLYepN58+ZBLpejvLw8JFkW06ZNg1KpRGNjY9iyOIqKiqBSqdDa2hrRNNuioiLIZDLU19dHtJSBN8SqyFsul1Pd0kgLxY1msiTplnwjJSUFer0eLpdLyoiLMkhkKciYPHkyli1bBgDYv3//kAs2zp8/H3q9Hi0tLThy5MiwbIqPjw9pkUqNRkOPH672JyqVirYcGe79GQ50Oh2dAKLRu0TCWdXV1WEr7xAsEN1SrBE9fygoKAAwusnSaAtBigXHcdI9ilJIZCkEmDFjBhVWb9u2bUjxebVajSVLlgAYLCUw3MKXCxcuBDAYIgxFddi5c+cCGCRL4ep7RfrThbNsgRBY/VS0wWg00tot0UjmfIGQ4WgUzw8HhMCePXs25rIUhwty7bEWFg4niEdVukfRBYkshQizZ8+mepbNmzcPqc7RjBkzYDQa0dnZOeyJOCMjA7m5uXA6ndi3b9+wjiWEoqIiJCQkoKenJ2ytSGbOnAmO41BeXh62TDxvdgCDRTJDkXE4XBAyF+kinoFiypQpAAZJxUhqPJubm4u4uDj09/ePunAUIcAXL14ccdXZgwVSvy1am3SPVkhkKUTgOA7Lli2DyWRCT08Ptm7dGrAQWaFQ0MKSO3fuHPaEQbxde/fuDfqKViaTYf78+QAQsorhfMTHx1MBczjrPPExbtw4xMXFobu7Oyr1NSREGmtkKSsrCwkJCRgYGIjK+zpUyGQyShpG24SYlpYGk8kEh8Mx4mpoBQuxmpQx0iGRpQBgs9kC2gDgiiuugEwmw/nz53Hy5EnYbDbRqflOpxNTp05FfHw8urq6cPjwYdFp3ULbpEmTYDAY0NXV5bOMgFjwUz/nzZsHYNAT0NTUFFAa+lDT40nLlVCXLfAFuVxOvTdivqNwp9ISsnTp0qWghmBDfR0cx1HvbKQbJwf7eSJkKVpb5YQKHMd5vfZwva/RDnJ/zp8/L2XERREkshRiWCwWOqFv374dXV1dAX1eoVC4FZYcjndJoVBQQhMK709KSgomTJgAl8sVklCfEIqLi8FxHEpLSyNa5I+E4iIpNveGxMREqluKNOkIFCQUN9J0S4QEjjayBGDUetXEIiMjA0ajUfK+RRkkshQGFBcXIzU1FQMDA9iyZUvAK5/p06dT79JwtUvz5s2DTCZDeXk5qqurh3UsISxYsADAYKhvOK1fxMJoNEZFKI7Ufbp48WJUZp3Fum4p1sTp/kAIw5kzZ0adyFvS5PgGx3F0TJPuUfQg5sjSCy+8gKKiIiQnJ2Pp0qV+V/KHDx/GbbfdhpycHIwZMwZ333132IvcyWQyXHHFFVAoFKiurg7Y+8Bql4brXWLLCAy1DpQvTJs2DTqdDm1tbWGLubOhuEjBZDLR1ifRmBVHvvNINx8OFIWFhZDL5WhsbBx2+59oQk5ODm1FM9pSxAlZOn36dFgWVLEIiSxFH2KKLG3YsAE/+9nP8Lvf/Q5HjhxBUVERli9fjtraWsH9HQ4H1q5di+uuuw67du3Cpk2bUF9fj+XLl6OnpyesticmJtL0/Z07d6K7uzugz0+bNg1Go5Fql4YDYsfRo0cDtsMfwlExnI/i4mJa8bympiYs5/RmB4CwhSADwbRp06IiXBkotFotTTePdImIYEImk1GvWTSGbkOJ/Px8xMXFoaenZ0QJ94MJsrgZ7lgvIXiIKbL0xBNP4Ec/+hFuvfVW5OTk4Omnn4ZWq8Vzzz0nuL9cLsfBgwdxyy23IDs7GxMmTMDzzz+PixcvDtsLYbPZAg5jTZkyBRaLBQMDA9i2bVtAn+V7lwYGBgL6PIucnBxkZ2fDbreHZGK/7LLLAAzqMcJR1dpoNIa06KZYkGzAI0eORF2j0ISEBFrNOxrJnC+QGl6xZrc/kEVFJD2ikYBCoaA10vbv3x9ha6IT5Nk4fPjwiCqbEcuIGbLU3t6OU6dOYfny5fRvMpkMy5YtC0is3NnZCWCw8vJQYbVa8dlnn+Hzzz8PiDBxHIelS5cCGHRBB1rOftq0aUhMTERPT8+w9DkcxwVNNC6E1NRUFBYWwuVyYceOHUE9tjcQgrZ79+6IaUByc3ORkZEBm80WUf2UNxAyt3fv3ghbEhhIUsKBAweiso7VUMGSpdEWjiIEWCJLwhg/fjwSEhLQ19c34pIbYhUxQ5ZIqM1sNrv93Ww2o66uTtQxnE4nfvnLX6KoqIiubIRgtVrR2dnptrFQqVSIj4+H0+nEli1b0NLSIvo6LBYLZsyYAQDYsmVLQIO/XC6nVb337NmD/v5+0Z/lY+rUqUhMTER3d3dIwhts9fFwpL9OmzYN8fHx6OjoiJgYmOM4KnAPhR5suCC2HT16NKYKAk6aNAlxcXHo6OjA2bNnI21O0DB58mRotVq0tbWNutYnbMX/WE/1DwVkMhnVYo40j2qsImbIEoFMJvP4t9iX7cEHH8SRI0fw3nvvQaFQeN3viSeegNFopFtWVhaAQRJltVoxMDCA+fPn05Dapk2b0NraioGBAVHb/PnzodVq0dLSggMHDsButwtuQrWXCgsLkZSUhL6+Puzbtw8Oh8Pr5/kbW+uH4zjqjdm+fTtsNtuwajjxN2Jnb29vUGsgeTufTCajZOCbb74Jac0lXxvRgwUjFBds23Jzc2lW5uHDh8NWo2a4dsvl8oD1YMG+d6G4J0qlkpac2L9/f8Se2UhsU6ZMgVqtRmNjI0pLS0Nyj4OJSDwnrPctGOcM9jVE+/GCjZghS8SjxNfANDU1eXibhPDzn/8cb7/9Nr766iuq3fCGRx99FB0dHXQT6movl8uxfPlyGI1G9Pb2YuvWraJ1RBqNhhKVvXv3eniufEEmk9HP7t+/f1geguLiYsTFxaG1tTXo3hiZTEY1Vtu2bQvLQ05Ci8eOHQtJ/zsxiOZQHMdxMR+KizW7/WG06pY0Gg0ttzHarl0s+GRJQmQRM2QpOTkZBQUF2Llzp9vfv/nmG/pQecNDDz2E119/HV999RV9QX1BrVYjPj7ebfO23+WXX05d6V9++aXosFpRUREyMjJgt9uxfft2UZ8hKCwshNlshtVqHZaLVqVSuTX8DfYLOX/+fKhUKlRXV4clPTorKwt5eXlwOBxha7nCR7SH4ghZ2rdvX0zpZMg7XlJSEnBh12gGIUuHDh2Kqe8jGCDXLumWhDFjxgwoFArU1dWFvdyNBE/EDFkCBr1DL7/8Mr755hv09/fjP//zP9HY2Ig1a9bQfR588EEa6wWAX/7yl3jttdfw1VdfUa1QMGEwGLBixQpaQ0msN4HjOKxYsQIcx+HChQsBvQwcx1FN0MGDB4dVBmHevHlQq9Wor68PejXhuLg4OiBu2bIlqMf2BuLN2rp1a8QmHxKKO3z4cMQ8XN4wdepUWgcrlgo9pqenIycnBw6HIypJ6FBRVFRE9VixVl19uCAEePfu3aOOKIqBTqejxWQjmeUrYRAxRZbWrVuHRx55BNdffz3i4uKwYcMGfPrppxgzZgzdp7+/n2pFWlpa8Ne//hVdXV1YvHgx9Ho93f75z38Gza7k5GTqoTl+/DjKyspEfS4lJYW+DNu3bw9owBg3bhzS0tJgs9mG5UXR6XR0cv/yyy+DPmhdfvnl4DgOx48fD0nFcD4WLFgAnU6H+vr6iNWvycvLQ0FBAex2e9hIolgolUpKtL/44ovIGhMgVqxYAQDYtGlThC0JHhQKBc2Q/fzzzyNsTXgxZ84cGAyGiL6r0Y6VK1cCAD777LMIWyIhpsgSAPz+979Ha2sr+vv7cfbsWVx++eVu/79+/Xqa3ZWUlISuri60tbWhvr7ebbvjjjuCaldubi4tMrdt2zbROqT58+dDrVajqakpIM8OK9A+cODAsIpLXnbZZdBqtWhoaAj66jYtLY2KWMMxGWi1WixbtgxAZAeYq6++GgCwefPmqEt3J7bt2LEj6EVJQ4lVq1YBGAzbBJKBGu0g38cXX3wRdc9KKEFkDACwcePGCFsTnVi9ejWAofUVlRBcxBxZIlAqlYJ/V6vV0Gq19N+sN4ndfGXDDRVz586F2WzGwMAAtm7dKmrg02q1VEcSaLHJgoICKibetWvXkO3WarWUeAVazkAMyGRw+PBh0WUehoMrr7wSCoUC58+fj1iF4EWLFsFgMKCxsTHqVs2FhYXIycmB1WoNuDhqJJGdnY1JkybB4XBg8+bNkTYnaFi4cCGMRiOamppGVJVyMSBkYNOmTVIoTgATJ07EmDFjYLVa8dVXX0XanFGNmCVLkYDNZvO5AcDy5ctpSuyePXsE0//5Kf2TJk1CQkICent7sW/fPtGlABwOBw2hHTx4EB0dHT7T+YVsIdu8efMQFxeH5uZmHDx4UFR5AF/HI5vT6UR6ejqmTp0Kl8uFzz//fFglCcSklhqNRnpfNm7cGJHUaJVKRcNGkbLBV+ot8dJs2rQpLOfzB7HHIsQ7WHaLRTCfT/55VSoVrrjiCnpdowmLFy9GXFwc6urqgtq3MBLPcCjs4ziOEspPP/10WMeSMDxIZCnIMBgMVBNy6tQplJaW+v2MXC6nmqejR48GVEogLy8PWVlZsNvtw/IuqdVq6l368ssvg14Fm0zOBw8eDEsLlHB7s4SwatUqyGQyHDt2TLD8RCRx+eWXQ6FQ4Ny5czHVyPXyyy+HXC7H2bNncenSpUibEzSQ5/XLL78cViujWINGo5FCcX5AyNKXX34ZlgK/EoQhkaUQICcnx61XmZiMqPz8fGRmZgac7cO2UDly5EhARIuPefPmwWAwoK2tLejpvLm5uSgqKoLT6QxLCCUzMxPTp0+Hy+WK2GrdYrHQzMxo8xgkJibSEgfRZpsvsA2pY8luf5g9ezZSUlLQ0dExorL9xOCaa64B8J0HVoI7Zs2ahdTUVHR1dYWtfZQET0hkKUQoLi5GamoqbDYbdu7c6XcQ4DiOpr2fO3cuIG9Ifn4+cnJyYLfbh5ViqlQqqTh6y5Ytw2qnIgTiXdq3bx8aGxuDemwhkEF4586dERMEExu2bduG9vb2iNjgDcS2rVu3xqTQ+/PPPx8xTUblcjnNfPr4448ja0yYsWTJEuh0OlRXV+Pw4cORNifqIJPJqHfpgw8+iLA1oxcSWQoRZDIZlixZArlcjrq6Opw/f97vZ8xmMwoLCwFAFMEi4DiOkpyjR4+iubl5yHYXFxcjOTkZXV1d+PLLL4d8HCEUFBSgqKgIDocDGzZsCPkqcuLEiRg/fjxsNhs2bNgQ0nN5w+TJk1FQUID+/n68+eabEbHBG2bMmIGcnBz09PTgrbfeirQ5orF48WIkJyejqakJn3zySaTNCRpuuukmAIMLFTHh+5ECrVZLifuzzz4bYWuiE7feeisA4P3336d9UiWEFxJZGgb8Tfbx8fG0Ya/Y1iTz58+nVVsDaRqam5uL8ePHw+l0DitrQqFQ4IYbbgAwSNiCrfe57bbboFQqcfbs2ZBX7uU4DnfffTc4jsO+fftw+vTpkJ7Pmw333nsvgMFJsLy8POw2eINMJsN9990HYHDFGg4tWTCgUqlwzz33AABeeeWVEaPxmTBhApYvXw6n04nnn38+0uaEFWvXrgXHcdi8eXPEMlijGbNnz8a8efNgs9nwzDPPRNqcUQmJLA0RpaWl2LZtm99018mTJ8NkMoluTaLX6ynB2rFjR0BCa1IR/MyZM6ioqBD9OT4mTpyIyZMnw+l04oMPPgiqByglJYWuIt97771haazEIC8vD8uXLwcAvPbaaxGpY1NUVIQFCxbA6XTi5ZdfjipdxoIFCzBp0iRYrdagFmoNNa677jqYzWY0NDSMqLDV2rVrAQzWCBvOOxxrGDt2LK666ioAkMiAFzz00EMAgFdffRVtbW0Rtmb0QSJLQ0B/fz8OHTqEuro6vzV02IayFy9eFFXFeubMmYiLi0N7e3tANXrMZjNt6bJly5Zh1S257rrroFQqcenSJRw9enTIxxHC5ZdfjszMTPT09OC9994L6rGF8P3vfx96vR5VVVVBDy2Kxd133w2FQoFvv/02qhrschyH+++/H8BgUcRo8nz5glqtdvMuBVtfFylMmjQJS5YsgdPpxHPPPRdpc8KKn/70pwCAjz76KOqyR6MBV155JSZNmoTu7m688MILkTZn1EEiSz6wfv16FBYWori4GAAwMDAAq9UKjuPo386dO4fz58/DarViYGBAcEtISMCECRMAALt27UJfX5/fek2kp9qePXvQ2dnpt94S2S677DIolUpUV1fj2LFjomohCW1Go5F6ZD755BP09PR47COmtodQLRqO43DHHXeA4zgcPHgQJ0+eHFbtJX9bXFwcbrnlFgCD3qyWlpaQncvbfbBYLLj22msBAC+++CL6+/v9fgehrn9ENtbz9dJLL4n+XLBrDwW6fe9730NqaiqampqoBzRUW7Dh61wPPPAAgEGhd2VlZdieg0hvU6dOxeLFi+FwOLB+/fqwfF+Rutah2AcAv/jFLwAMaru6u7sjeq3BPm8wjxcKSGTJB9atW4fTp08LVtXNyMjAxIkTAQym7PvLdJoxYwZ0Oh26urpEZXxMmDABZrMZVqsVe/fuFW2zXq+ndZ62bt1K++QNBUuWLAmZ2Ds3N5eWPHjzzTdDXj9kyZIlGDNmTESF1jfddBMSEhJQW1sbdWnvP/7xjyGTybBnzx6UlJRE2hxRUKlUVHP12muvDetZjyZMnToVCxcuhMPhwD/+8Y9ImxNW/OxnPwMAvP3222HJmI01XH/99cjNzUVraytef/31SJszqiCRpWGgqKgIFosFDocDe/fu9Tnhq1Qq6i06duyY31R2juMo6Tl+/HhAqe+zZ8+G2WxGX18fvv76a9Gf40OhUOD6668HMNiKJdghmtWrV8NkMqGlpQUfffRRUI/Nh0wmw49+9CNwHIe9e/cG1IcvWNDpdLjzzjsBDE4G0aQ7yM7OppqRZ599NmZ6lF1zzTXIzMxEa2tr1GUbDgdEu/Thhx+OqpDUvHnzMHPmTFit1lEnchcDhUKBn//85wCAv//97yMm/BwLkMjSMMBxHObOnQudToeenh6/2V05OTnIysqC0+kUVRogJycHY8aMgcvlwldffSXavSiXy+nEd+zYMZw5c0bcBQlg/PjxmDFjBlwuF15//XVRBTbFQqPR4LbbbgMAfPXVVzhw4EDQji0EVuz9zDPPRCT7a9myZcjPz0dPTw/+/Oc/B71S+nBw9913Q6PR4PTp0zEj9lYoFFRz9dJLL0WEBIcCM2bMwPz582G32/HLX/5yxNST8geO46h36cUXXxx1vfLE4Pbbb0daWhqqq6vx29/+NtLmjBpIZGmYUKlUmDt3LjiOQ1lZmd8WDHPmzIFCoUBtba2o2kvLli2DQqFAZWVlQKUEcnJyaIPeTz/9dFhejBtuuAEWiwWdnZ149dVXg5qqPWnSJNoX69VXXw15fZnbb78dubm56Orqwv/+7/+GfWUml8vxyCOPQKvV4tSpU3j55ZfDen5fSE5OppqIf/7znyEv7RAsrFy5EsuWLYPdbsdvfvObqCv+OVT8x3/8B/R6PY4ePYqnn3460uaEDStWrMD1118Ph8OBtWvXjpjvM1jQaDRYv349AOCFF17AZ599FmGLRgckshQEJCUlUf3S/v370dXV5XVftjTAnj17/Gp1EhISaPhu+/btAWl7li5dioyMDFitVnzwwQdD9mJoNBrcc889iIuLQ3V1Nd55552giuiuvfZaTJ06FXa7HevXr0dra2vQjs2HWq3GQw89BKPRiMrKSjzzzDNh73aelZWFhx9+GMBgi4fhhEqDjcsvvxzXXXcdAOC//uu/ItZXLxBwHIff//73yMrKQn19PX7/+9+PiA722dnZePzxxwEA//jHP4bV+zGWwHEc/vu//xu5ubmoqanBww8/HDLRbqxixYoV1AO3du1aUVnWEoYHiSwFCRMnTkRKSgpsNht2797tc7CeNm0aEhIS0NfXJyqNfPbs2UhMTERPTw92794t2ia5XI4bb7wRGo0GtbW12Lp1q+jP8pGUlIQf/OAHkMvl+Pbbb4d1LD5kMhl+/OMfIyMjAx0dHXjmmWdCKvhOSkrCL37xCygUChw6dAjvv/9+yM7lDXPmzKEhyPXr1+PChQtht8Eb1q1bh8LCQnR1deF3v/tdTDTv1Ov1+POf/wy1Wo29e/fi1VdfjbRJQcFVV12F22+/HQDwy1/+ctSIng0GA55//nkolUp88cUXeO211yJtUtTh97//PWbMmIG2tjbcc889URXSH4mQyFIAsFqtXjebzYa5c+dCoVCgoaEBx48f97qv0+mkIbKSkhLU19cLlhAgpQEA0MyxY8eOobKy0q10gK8yBHFxcbSj+e7du3H69GmfZQh8bTk5OdTrsGXLFhw+fHjIx+JvSqUSa9euhV6vR2VlJV555RWPsggOh0N0urq/tPz8/Hz86Ec/AjBYvXrPnj0+9w/WedmSALfccgtmz54Nm82GP/3pT2hra3NLfw1lOQVfm0KhwB/+8AcYjUZcuHABf/vb34ZVEiCY5QV8HaOgoAC/+tWvAADPPfccDhw4EPaUcLGlOQI55m9+8xuMHz8era2tePjhh2G328N+XZHYJk+eTDU5//7v/46SkpKgn0MsIn0vhDalUomXX34ZBoMBe/fuxX//93+P2GsN1fcaCCSyFETo9XrMnDkTwCAJ8pXBlpmZifz8fLhcLuzevdvvF5yTk4OJEyfC5XLhyy+/DEjwOW7cOBr6++ijj4Yl0i4uLqZd3996662gZuokJyfjgQcegFwux5EjR7Bx48agHVsIixYtok1Zn3/++bAXZJTJZPjFL36BjIwMNDc3R5Xg22w243e/+x1kMhm++OKLqCt14A2rV6/G6tWr4XQ68dhjj8VMCxdfUKvV+L//+z/odDocOHBgVPVPu/fee3HFFVdgYGAAa9asiamGz+FAfn4+nnrqKQDAX/7yl4AiDxICg0SWgoy8vDxkZWXB5XJh3759Pie/efPmUU+UGLH3kiVLoNfr0d7eHrB+YenSpUhLS0Nvby/ef//9YaWGr1q1CuPGjYPNZsMrr7wS1Ay5goIC3HHHHQAG9Tyhzoa57bbbMGXKFAwMDODJJ58Mu5g0Li4Ojz32GBV8v/jiiyFbGQWKmTNn0irZTz31VEAJBpHEL3/5S4wdOxatra149NFHR0QmWX5+Pv74xz8CGAzbimmdNBLAcRyefPJJpKWloaysDL/5zW+i5v2IFtx8882488474XQ6ce+99w6rkboE75DIUpBBqntrtVp0dXXh2LFjXveNi4ujnqj9+/ejp6fH57E1Gg3NHPv2229x6tQp0XYpFArcfPPNUKvVqKysxMcffzxkEaxMJsPtt98Oi8WCjo4OrF+/Pqgr+AULFmDFihUABltZfPPNN0E7Nh9yuRw//elPkZaWhpaWFvz7v/972MWSmZmZePjhh8FxHL744gusX78+aib42267DQsWLIDNZsMjjzwSE6ncGo0Gf/nLXxAXF4djx47h3/7t30LegzAcuPbaa3HjjTfC5XJh7dq1UZUYEEqYTCY8++yzkMvl+OCDD/DQQw+NmObJwcJf//pXjB07FrW1tVi5cqXfrGwJgUMiS0NEf3+/1xCUWq3G3LlzAQz2g6upqfF6nMmTJyMpKQlWqxVff/21XwKTk5NDW6189dVXqKysFG1zUlISbrjhBshkMpw4cQKffPLJkAmTRqPBfffdB5PJhObmZjz99NNBDWPdeOONmDt3LpxOJ95880289dZbISuUGBcXh1/+8pdISUlBQ0MD/vCHP/gkuaHA7Nmz8ZOf/AQymQxbtmzB7373u6B67IYKmUyGRx99FJMmTUJPTw9+85vfBL25ciiQnZ2NJ554AhqNBgcOHMAPf/jDEdGY9ne/+x3mzZuH3t5erFu3Lqo8kaHE7Nmz8ac//QkymQxvv/02vv/970seFAZxcXHYsGED0tLScO7cOSxdujSki8zRCIksDQH9/f3YsWMHjh075jU7JTU1FePHjwcAHDhwAH19fYL7yWQyLF++HEqlEvX19aKy4xYsWIDx48fD6XTis88+CyhDZsKECbjpppsgk8lw/PhxfPLJJ0MmIUlJSfi3f/s3ZGVloaenB88++yxOnDgxpGPxIZPJ8MMf/pD2U9uxYweeeeaZkLW0SE1NxX/+539iwoQJ6Ovrw1//+lds3LgxrBPR1Vdfjd/+9rfQ6XQ4ffo0fv7zn6OsrCxs5/eGuLg4PPnkk1i5ciWcTieeeeYZPPnkk1Hj/fKGBQsW4JVXXoHFYkFFRQXuvvvukBc+DTW0Wi1efPFF3HrrrXC5XPjrX/+KX//61zGRsThc3HnnnXjjjTdgMBhw4MABrFq1KmZCw+HAxIkTsXPnTsyaNQttbW249tpr8cILL4wKMh0OSGRpCNBoNEhLSwMAHD161CsRmjp1KhISEmC1WnHw4EGvD21CQgJtbXLixAm/EyTHcbjiiiuQkZGBgYEBvPvuuz5rO/FRVFSEG2+8ERzH4fjx43j33XeHPPEZDAasXbsWhYWFsNvteO211/D1118H5QXlOA6rVq3CmjVroFKpcPr0afzXf/0XGhoahn1sIcTHx+P//b//h6VLl8LlcuHNN9/EP/7xj7C6/GfNmoW//OUvSE1NRUNDAx555JGo0KeoVCr86le/wgMPPACZTIZNmzbhoYceivqCgePHj8cbb7yBKVOmoKurCz/96U/x7rvvRtqsYUGpVOKPf/wjFeB/9NFHuPvuuwNqiRSrWLZsGTZu3Ijc3FxUVVVh9erV+OqrryJtVtQgNTUVn3/+OW655RY4HA48/PDD+PnPfx71C5tYAOeSaKdXrF+/HuvXr4fD4cD58+dpNW0AcDgcOHjwILq6upCQkIBZs2YhISHB4xgdHR00vDZt2jQUFBRAr9cLnu/QoUM4deoUlEolVq9eTQmZN/T39+PDDz9EW1sbUlJScOutt0KtVnvdX6PRuP373Llz+PDDD+FwOJCdnY3vf//70Gg0Po/BQqVS0d8dDgc2btxIm/7OmjUL119/PXQ6nahjkfvqDVVVVXjhhRfQ3t4OnU6HNWvWUM+dEJRKpajzCu3ncrmwZcsWbNiwAS6XCwUFBXj44YcFv18+/F2H2H06Ozvx5JNP4sSJE+A4DnfeeSduuukmcBw3pOMBg/qsYOx34MABPP744+jt7UVaWhoef/xx5OXlDeu8wbLN235WqxVPPPEEzeq78cYb8cgjj7g9w8E4r0wmbv0p5nhijrVnzx784he/QFdXFzIyMvDcc895fS/E2hbN+5F9Wltb8ZOf/AT79u0Dx3H47W9/i/vvv5++H5G6BqH3M9TnFdrH5XLhqaeewh/+8Ae4XC4sXLgQb7zxBpKTk4NmW7CvNVjH6+zsRFJSEjo6OhAfHy/qmGIgkSUR6OzshNFodCNLAGg/OIfDgdzcXJqez8eFCxfw7bffQiaTYcWKFUhPTxfcz+l0YvPmzWhsbERiYiJuvvlmv5N+Z2cnPvjgA/T29iI3NxfXX3+914GYT5YAoLy8HO+++y4GBgZgsVhw2223ISkpyec5CYQmmr179+LTTz+Fy+VCfn4+rfztD2IJxEsvvYSysjLIZDLcdtttWLx4seC+wyFLBCUlJTT0ZzKZ8Mgjj/gkBUDwyBIwOOC99NJL+PzzzwEAl112GR588EEPMhtusgQAFRUV+N3vfofa2lpotVqqpRnq8UJNloDB+/nGG2/gmWeegcvlwqxZs/DnP/9ZFAmOVrIEAGVlZXjggQdQUVEBnU6HJ598EsuWLRvy8aJ5P3Yfm82Gxx57DBs2bAAA3HLLLXjiiSegVqtHPVki+OKLL3Dfffehq6sLubm5eOedd1BYWBgU20YbWZLCcMNAXFwcioqKAAySjtraWsH9CgoKYLFY4HQ6cfDgQa8aIZlMhiVLlkCj0aCtrU1Us934+HjccMMNUCgUKC8vx9atWwMKgeXm5uKuu+6CTqdDQ0MD/vnPfw6rj9z8+fPxwx/+EGq1GqWlpXjqqaeClikXHx+Phx56CMXFxXA6ndiwYQPeeeedkAm/J0+ejD/+8Y9IS0tDa2sr/vjHP4a1X5pCocCaNWuwZs0ayGQyfPPNN3jssceiItySk5ODZ599FtOmTUNfXx8ee+wxvP3221Gtj+A4Dj/4wQ/w17/+FTqdDocPH8bdd98dFbqw4WDMmDF49913MWfOHPT29mLt2rV46aWXovq7CAaUSiX+/Oc/4z/+4z8gk8nwzjvv4NZbb5WE3wyuuuoqfPXVV8jNzUV5eTmWL18e8vp1IxWSZ0kEvHmWCM6ePYvKykoolUqsWLFC0JPS19eHrVu3YmBgABMnTqT93oRQV1eHLVu2wOVyYf78+Zg+fbpP+7RaLS5duoSPP/4YLpcL06dPx9KlSz0YuJBniaC1tRUbNmxAR0cH9Ho9Vq9e7XcF4iuEUV9fj1dffRXt7e3QarW4+uqrMW/ePK+rArHeEZVKBZfLhS+++AKffPIJgMHJ4uabb3bz+gTDs0TQ09OD5557Dt9++y2AQQ/PzTffLOiBC6ZnifU+fPvtt/jzn/+M7u5uJCQk4NZbb8Xll18OpVIZEc8S2c9ut+Ppp5+mzTyLi4txzz33YMKECQEdLxyeJRYXL17Eww8/jNraWuh0Otx55524/fbbYTAYhnXeSHiWyH42mw3/+Z//iXfeeQcAsHDhQqxbtw4zZswY0vGicT9v+3zzzTdYs2YNOjs7YbFYsG7dOtxxxx1+ZQAj3bNE0NLSgrvvvhs7d+4Ex3G45ZZb8POf/5wu9odi22jzLElkSQT8kSXiMers7ERiYiKWLFkiOBjW1tZSTc+cOXNo810hlJSU4MiRI3RfbyE+YJAsAXDr2ZaVlYVVq1a5Df6+yBIAdHV14a233qLZdUVFRbj66qu9TiD+9B5dXV144403aMp2eno6rr/+ehQUFHjsGwhZIjh69CheffVVKsCeNWsWrrvuOqSkpASVLAGDL+iGDRtoSEypVOLKK6/Etdde66ZBCxVZAgafnz/96U+0XITZbKakKZKExOVy4eOPP6b6PmCw4Ordd9+N8ePHRyVZAoC2tjb85je/wdGjRwEMeopvv/123H777R6DbCyQJeC7UCNbDX7u3LlYu3Yt5s6dK2pCikWyBAwS4B/+8IfUU5iUlISf/OQn+OEPf+h10hwtZAkA7HY7Hn30UfzjH/+gf1u5ciUeeughtxC6RJaEIZElEfBHloBBz9GBAwcwMDCAvLw8WmySj7Nnz+LkyZPgOA7Lli1DVlaW4H4ulwunT5+mRQBnzpyJOXPmCD5QhCwBwPnz5/HFF1/AZrNBo9Hg8ssvp4JPf2QJGFyd7t27F3v27IHT6YRGo8HKlSsxY8YMj3OLEcfK5XLs3bsXmzdvpmn/U6dOxfe+9z2YTCa631DIEjA44X366afYt28fXC4X5HI5lixZ4kFivEEsWSL2XbhwAW+++SZNWY6Li8P3vvc9rFy5EiqVKqRkCRj8frZu3Yp3330Xra2tAAaLWt5xxx1YtGiRz4Ek1ISkpqYGb7zxBrZu3Urrdy1YsAD33HMPxo4dG5JzDnc/ANi2bRteeOEFWshPiDTFClkiqKysxAsvvICPPvqIkqZZs2Zh7dq1WLhwoc+JKVbJEjAo5H/33Xfx7LPP0kVFfHw8fvSjH+G+++7zEDiPJrJEbDt27Bj+9re/0UgEMLi4eeihh3DllVeKftYlsiTBA2LIEgD09vbS3jyzZs1Cbm6uxz4ulwsnTpzAhQsXoFAosHLlSq8ZCnFxcTh69ChNHZ86dSoWLFjg8VCxZAkYDKlt2rSJptgXFRVh+fLloh8ctVqNuro6fPzxx1SHlZubi9WrV8NsNtP9xJAlsk93dzc2b96MvXv30iaQS5cuxbJly6BWq4dMlgiqqqrwwQcf4MyZMwAAnU6Ha665htaw8oZAyRIw+B0eO3YMb7/9Ni1MajKZcOONN2L58uV+B5tghM2sVis+//xzvP/++7RsRF5eHu666y6vpDpchKSqqgpvvPGGW5HVRYsW4Z577sGYMWNCcs6h7kcGXqfTie3bt+OFF17AxYsXAbiTpsTExICOFwz7gjGh1tbW4sUXX8R7771H08enTJmCdevWYenSpYLPSSyTJQKn04mPP/4Yf//732krKa1WizvvvBMPPPAAzTQejWSJ4MKFC3j66afx5ptvUu98YWEhHnroIdx0001+x0aJLEnwgFiyFB8fj9OnT+P06dOQyWRYtmyZYKaNTqfDV199RTOJrr76akEvCNE+nThxgvaCKyoqwuLFi90eGD5ZAgZT+ffu3UuL8BmNRlx33XVePVksSLaVw+HA/v378fXXX8Nms0Emk2HBggVYsmQJVCpVQGSJoKamBh999BFdxSckJOCaa67B7NmzRb0s/s556tQpvP/++5TkJScn48Ybb/R6/KGQJQKn04ndu3fjvffeo6LSjIwM3HbbbT6vJ5gao97eXmzcuBEffvgh9dyNGzcOd999N6ZNm+ZmQ7gJSWVlJf75z39i+/btdAW7ZMkS/PCHP0R+fn5IzhnofvyBV4g06fV63HHHHbjjjjv8Dr7RRpYIGhoa8Morr+Dtt99Gf38/gMEihmvXrsUVV1zhdoyRQJZYEvzll1/iqaeeoppDlUqFW265BQ8++KDggnY4540lskRQV1eH9evX45VXXqELr+zsbPzbv/0bfvCDH3jVfUlkSYIHCFkijW+BQe9CX1+f24NkNBrhcrlw8OBBNDU1QafTYdGiRR4Tsl6vx8DAAL7++mt0dHTAaDRi+fLlHkSAPfb58+ep1yo9PR1Lly6lpMaXiLG2thZbt25FV1cXOI7DnDlzMHfuXJ8PHJ98tbe3Y+vWrXSFFh8fjyuuuAKTJk3y+4ALkRuXy4VTp07h888/p5l3ubm5osicGHLjdDpx5MgRfPrpp7RlSE5ODm666SaPcJBY4uLrvAMDA9i2bRs+++wz2hW9oKAAt956q6AuTew5A9mvq6sLH330ETZu3EirOU+ePBl33nknFVuLHbTEEkixhKSqqgqvv/46duzYAWBwUFyyZAnuvvtuZGdnB3Qssdcg9t55O57T6cSOHTvw0ksvUWKv1+tx2223+RSCR4IsBXLvWlpa8Nprr2HDhg2UXI8dOxYPPPAADcGMJLJE4HK5sHPnTjz99NN0ASmXy3HDDTfgwQcf9BsmjmYPVLBsa29vx8svv4znnnuOZjAnJSVhzZo1+PGPf+wmmwjkvOEmVZ2dnTCbzRJZigT4ZMlut+Ps2bPo7OzEtGnTKFkxGo0ABifPXbt2oa+vDxaLBbNmzXL7gokXqaenB1u3bkV/fz8sFgsWL17sNvDxSVB5eTl27twJu90Og8GAFStWIDEx0W/Gh9Vqxc6dO3Hu3DkAg1Ver7rqKq+hBSFPFTBI2LZs2UIJyLhx43DVVVd5vEQsfHmCbDYbdu/eje3bt9MQQXFxMVatWuX1IRc7katUKlitVnz11VfYsmULJRBTp07FDTfcAIvFAiA4ZImgt7cXmzdvxubNm+n5pk2bhltuuYWSgkDOOZT92tvb8f777+OLL76gWpXi4mLceeedHt4cbwg2WSL7lZaW4vXXX8fOnTsBDA6OK1aswF133eV2f3whXGSJgHiaXn75ZTfSdPvtt+O2227zIE3RTpYI2tra8MYbb+CNN96g3oT8/HysWbMG11xzjaj7F0tkicWBAwfw9NNP095pHMfh6quvxs9+9jNMmjQpZOdlEY1kiaC/vx8bNmxw6/cZFxeHH/3oR1i3bh0yMjICOp5ElkYR+GTJ6XSipKQEnZ2d0Gq1mDZtGhQKBSVLwOCktXfvXjidTowdOxbjxo2jXzIbcmttbcW2bdtgt9uRnp6OuXPnUoIhRIJaWlrw9ddfo7u7GwqFAvPmzcOUKVNEPZClpaX4+uuvYbVaoVQqsWDBAkyePNljcvRGloBBgrNnzx7s27cPTqcTCoUC8+fPR3FxseCDKSZU19HRga1bt9LsP7Vajcsuuwxz5szxCGMGQpbY42/cuBG7d++Gy+Wi4cSFCxciPz9f1L0LJFzX1taGjz76CNu3b4fT6QTHcZg/fz4uu+wyTJgwQXSF9OGQqqamJrz99tvYtm0btWHhwoVYtmwZpk6dGhQd11BDYhcvXsRrr71GM0NlMhmuuOIKLFu2DNOmTfN5f8JNlgg4jsO2bdvw4osvupGm66+/HpdddhkmTZoEhUIRM2SJoLOzE//617/wz3/+080Le+utt2LhwoVu49ZQ7Ys2skRw/PhxPPPMM9i8eTP92/Lly7F69WosXLjQrXjwaCJLxDa73Y6PP/4Yf/vb31BSUgJgcGy46aabcOWVV2LRokV00SnmeMG2zxskshRBCIXhBgYGcOzYMQwMDCA+Ph6TJk3y8LBUVlbSxrKZmZmYPHky5HK5hz6pvr4eu3btgsPhgEajwcyZM5GVleXVY9Tf34/t27ejrq4OAJCSkoJ58+b5XZ2rVCp0dnZi8+bNqK6uBjBIjKZMmYKpU6dSu3yRJYLm5mZs2bKFpunKZDJMmDABs2bNQl5eHn3wxbaTUKlUqKiowMcff0yzWDiOw9ixY1FcXExJ3VDIEkFtbS0++ugj+uIDgMViwdy5czF79myfL/5QtE11dXV477333Jq3xsfHY/bs2Zg7dy4KCwt9TnTB8EBVV1fjrbfeoiFcYPD7nTVrFubOnYtZs2Z5PGehJksEZ8+exWuvvebWPJrYNm/ePMybN2/Irv9gkyVyDU6n04M0AYPEac6cOViwYAEWLFiAlJQUUccLpm3DOV53dzc2bNhAa6MRpKSk0IXF/Pnz3ZJRYp0skf3OnDmDv//97/j0009pQgIw6GlbtGgRFi5ciIULF4oS+Y8kskTgcrnw1Vdf4W9/+5vbOAIMNmZftGgRvU9sApC34wXbPj4kshRBCJElYHCAKSkpgd1uh9FoxPz58z0GrrKyMpw+fRoul4v2kBPKfmtpacH+/fupSzwzMxMLFy70SpiId+vEiRM0hJWVlYV58+YJPrDAdwSCfPbQoUPo7OwEMPigjh8/HjNmzBAtelQqlThz5gz27dtHCQ4AJCYmYubMmZg2bVrArVOcTie+/fZb7Nu3z20y0mg0mDZtGubOnYu8vLwhaaUIzp8/j507d+Lbb791azCZl5eHOXPmoLi42M1LSK5VDIQmaeLRO3z4MNU0Af6JUzDDdaWlpdi6dSv2799PSw6Qz06dOhXz5s3D7NmzkZiYGDayRHDq1Cls2bIF+/btc6u+zHEcJk6ciPnz52P+/PnIz88Xfc5QkSUComn6+uuvsX//fuqVIRg3bhwWLFiA+fPnY8qUKR73NNrIEkFPTw8++eQTfPPNNzh48KBHk/CJEydi4cKFWLBgAYqLi0V5SaOdLBGUlpbinXfewa5du3DixAk34sRxHCZPnoyFCxdi0aJFmD17tmDx4ZFIllgcOHAAH374IXbv3u226CSYOHGiG3lKSUmRyNJogjeyBAwWXiwpKYHD4UBKSgpmzZrlMXg1NTXh6NGjsNlsUKvVWLRokSBhcjgcOHXqFM6cOQOXywWVSoXi4mKfrvD+/n6cOnUKJSUl9OUeO3asYAiLTyCcTicuXryIY8eOoaamhv49KysLxcXFGD9+vM8HmD1efX09Dh8+jBMnTlC9jkwmQ2FhIYqLi1FQUCD6WAQtLS04fPgwDh8+7DbBp6SkUFLjbbUnxqPV39+PkpIS7N+/nxJaYvfEiRMxd+5cTJ8+HRqNZlhkicBut9PaWQcPHhQkTvPmzUNhYSFkMlnQtU0ymQxOpxMXLlzAvn37sH//frfvnZATMsn7a+QczMw0uVwOl8uFCxcuYO/evdi7dy/V2BFYLBbMnz8fCxYswPTp031+x6EmSywcDgdOnz5N7WafJWDQ6zR37lx6X1NSUqKWLLH7DQwM4OjRo9i1axf27NmD06dPu+2n0Wgwe/ZsOjEWFBSEvBRBuLxZHR0d2Lt3L3bv3o3du3fjwoULbv+vVCoxc+ZMLF68GIsWLcK0adOgVCpHPFli0dbWhj179mDXrl3YtWsXTp486bFPYWEhLrvsMvqM+Fo8S2RpBMAXWQIGX6yTJ0/C6XTCYrFg5syZHl98T08PDh8+jK6uLshkMsyaNcur4LatrQ2HDh2iBCEtLQ0LFizw+sXrdDp0dnbiwIEDdIIhIayZM2fSB9Rfe5Jjx47h3LlzlHTFx8ejuLgY06ZNEyxoKXS8gYEBnDp1CocPH6ahPmDQ21RcXIyZM2cGrG1yOp0oLS3FoUOHcOLECVoThOM4jBs3DrNnz8bUqVPdjiE2/Ee+z46ODhw+fBgHDhxAaWmp23GmTZuG+fPnY/LkyX4nYbFFKe12O06dOoX9+/fj0KFD1KMIDCYKzJ49GwsXLsTEiRODVrdJKEOoqqqKEieSKk+Ql5dHyYmQNy/YZImP5uZmSkCOHDlCv3dgMFxXXFxMvU580hxOssQ/XltbG7V73759bmEt4LvQxcKFC2loPly2DWe/lpYWSiD27NlDK/0TWCwW6lVgv5NYJEt8NDY2uhEDdpEBDBLiefPm4bLLLsPixYsxfvx4n5P6SCBL/OM1NzfTe7Rz504Pcg0AkyZNwqJFi3DZZZd5hDYlshTDWL9+PW3hcP78eUyZMsXrwNTV1YXS0lI4nU6YzWYUFhZ6fKl2ux1nzpyhoYa8vDzqReDD6XSiuroaJ0+ehMPhgFwuR1FREcaNG+exP6sxam1txdGjRz08RZMnTxZVY6mnpwfnzp1DSUkJrceiVCoxYcIETJkyxW1l4M8F39TUhFOnTrl5mwjBmT59OvLz8wPWNrlcLpw8eRJHjhxxIzVqtRpTpkzBrFmzkJ2dLfp4Qh6jpqYmHD58GEeOHHGbEOLi4jBjxgzMnj3bzXZ/x+ODP5GT7MqDBw/iyJEj6Onpof9nNBpRXFyMOXPmCH73Ys8pdF4+mpubcfDgQRw6dAinTp1yC0MQbde8efOoHcEkS/5s6+/vx7Fjx3Dw4EHs37/frZkwG66bN28ecnJyIkaW+Ps5HA4aqt67dy8tmkoQHx+PuXPnUtvZySMSVcMBcZOly+VCaWkp9uzZg7179+Lw4cP0HSfHmDRpEg1bTZkyxe93Eu7aU0Pdz+Vyoby8HHv27KHEkU+IzWYz1XotWrTITSwebPuihSzxQRY7xDvHf/bJM0K8cwsWLPCQPwzlvJ2dnUhPT5fIUiRAPEu+yBIwODCWlJTA5XIhNTUVEyZMEBTL1dXVUQ9QcnIyZs6cKTi5a7VadHd34/Dhw3TSTkhIwNSpU93EyEKC7JaWFpSUlNC+bMBgfabp06cjIyPD5wuhVqtht9tx7tw5HD9+3G1iysjIwJQpU5Cfn++3ZAE5ls1mw5kzZ3D06FE3b1N8fDymTp2KadOm+RXEErD3qbW1FUeOHMHRo0dpvSZg8J4WFxdj1qxZgkVBWfgiGsTzcvjwYRw9epTqu4DBit3FxcUoLi6mqbT+jkfgL1R35swZHDx4EEePHnUjTgkJCZQ4jR07lg4awSJL7H6dnZ04dOgQDhw4gOPHj7t5dRITE6mYmWSB+UIwyBJ7LBI+3rdvH/bt2+cRIklPT6chL3/ewFCTJT5aWlpw4MAB7Nu3DwcOHHB7pjiOQ1FREfWWFRUVBXWyDHYbC/Z4/f39OHz4MPbs2YM9e/Z4eCkNBgPmzp1LxdLsOxOIfdFAlvhwOp04deoUJQUHDhxwI46Au1hcKHFhOPZFK1ni79fU1ITdu3dT7xyp28fuN3XqVCxevJgmFAjVM5PIUhTDG1kiHh+ChIQE6k1xuVxIT08X1Bvp9XrU1dXh2LFjcDgc0Ol0gqn3hAS5XC6UlZW5CZItFgsmT54Mk8nkM3uto6MDJSUlKC0tpTqKlJQUTJ8+HTk5OYIPHusxcrlcqK6uxokTJ9yOERcXh2nTpmHy5MleC/TxjwUMvjDHjh3DiRMnqOcKAA0Zjh071ufkL0QqnU4nysrKcOTIEZSUlNB7xGbTFRYWCoYSA2mke/78eRw8eBDHjx93sz0jIwPFxcWYPn060tPT/Q42YokBKd554MABHDlyhBYRBAYJy6xZszB79myMHz9elCdtqBqo/v5+HD16FPv378fhw4fd7NDr9VRrVVRUJPgsBJss8dHU1IT9+/dj7969OHbsmJton+iFiNA6KSnJ7fsJN1liz0tCscQ7w588kpKSaBh0ypQpMJvNw9IEhZIs8VFfX0+J0759+zwE8Hl5edTzUlhYiJSUlKit7RTIfhzHob+/H0eOHKEhqW+//dbNS0tIASGOEyZMQHJy8pC/21ghS3w0NDRQ4rRr1y63hB5g8PmaPn06JZmFhYVIS0vz+5xIZCmCECJLDQ0NaGxsRE5ODv1CiBejoaGBxmuTk5MxduxYt4mapOiT1Xtvby84jkNqaipyc3PpgM4nQf39/Thz5gwuXbpEXz6j0YiCggLk5eUJZmcQdHd349y5czhz5gztDK/RaJCTk4OcnBxkZmZS4uAtvNbV1YWTJ0/i5MmTblkyKSkpyM/PR35+PtLT091eDm/HIqGnY8eOuXm/FAoFsrOzkZ+fjzFjxiAtLc3teP5IgdVqRUlJCY4ePeoWpuM4DpmZmdROcr/EkiV2v4GBAZpNSMKkBAaDAWPGjMGYMWNQUFCAnJwcD5uHQgzsdjtKSkqox4klLHK5HFlZWfS8Y8aMQWZmZkiy62w2G0pKSrBv3z4cPHjQYxJkn4W8vDzk5+cjLS0taATS34Tf19eHw4cPUx0W3774+Hjk5eXRjbw7/pouh7rNCjBI+ojW6eDBg25eRWBwgULszs/PR25uLvLy8gS/6+HYFgyyxIKEzonn5cSJE27vDOB+bfyN9WDHAlnio6OjA/v378euXbuwe/duD68bMDgnkO8zNzeX/p6fnw+LxRLWxseRaNkCDJZa2blzJ3bv3o2dO3fSgpgsVCoVcnJy3O7RggUL3BrXS2QpguCTJaJhIt6FlJQUpKenu7lW6+vrcfbsWbhcLnAch/T0dOTk5ECtVrsNzAMDAzh+/DhtegsMDhy5ubkYO3asIDno7u7GqVOnUFVV5bZiSU1NRX5+vuAEDQySo76+Ppw4cQJnz551847I5XJkZGQgJycHY8eO9Tl52O12XLp0CSdPnvQQOqrVamRnZ9OBTkx4rbW1FSdOnMCJEyfcwhLAoHctNzfXjYyJLSLZ3NyMw4cP49ixY24p6QSpqakoKCigBMNXyM4bqerp6cGxY8dw6NAhlJaW0qrZBEJExpuHgA9vk5HNZsPJkydx8OBBfPvtt27icAKVSkXv25gxY5Cfn4+srCxRA5dY4gKA6nEOHTpE637xodfr6fdHtqysLLd7Gsx+eWQ/NkuNlLdg3xcWZrOZEjxyv1jtWzjIEgubzYYTJ05Qz0x5ebkHwSBQq9XIycmh9pNJNjs72+0eR4os8a+1s7MT+/fvx549e7B//36PcYwPi8XiRr7Jz4yMjGGL4yNBNGpra7F3717s2rULBw8eRHV1NXxNw2QMJESKJZJiPC2huIZAjjfU81ZVVVHytG/fPlRUVAi+A7/85S/xhz/8gf5bIksRhJBnyel0ora2lvbQ0Wq1mDx5spt3p6urCxcvXqTiP5lMhvT0dBQWFnp4XDo7O1FRUYGqqir6QMjlcmRnZ2PMmDGCMW6r1Yrq6mpUV1e7kS2ZTEaJT1ZWFh3wWe+W0+lEXV0dKioqUF5e7jHhms1mN8Ij9AKp1Wr09vairKyMbiwBAwZDCYQk8AdvFiqVCi6XC83Nzbh06RIuXbqE8vJyj9g/33PjrXQA/zxtbW0oKytDaWkpSktL3e4Xa2tBQQElGOx1i/FA2Ww21NbWUvsvXbrk4dkABj2Q7DXk5uYKklsxk5HL5UJHRwc9H7k+fn0cYPAZJWSAkEShVetQiUt3dzfKy8upDWVlZaisrPQgkOQcZILPz8/H2LFjMWbMGJ/eUaFzBrKf1WpFZWWl23NQVlZG32GhYxBvJPm+hLynQ7FPzATCHstms6GqqgqXLl1CWVkZvc8VFRVuejIWCoUCWVlZlFwQ+3Nzc32G7kNNlvgYGBhAVVUVKioqUFpaivLycvodsVpEPoiXgSWI5Heh0ixDsS3Q/YZCNPr7+1FZWYny8nJ67eR3f0RSrVYLEikhMhlrZIkPu92OmpoaOmeR7fvf/z5WrVpF95PIUgThS+Dd0dFBJwSZTIaxY8d6hB3a2tpQWlpKvSZyuRy5ubkYM2aMB2my2+2orq72IDAmkwljxoxBVlaWx2RGhOBkgGEzM2QyGdLS0pCTk4OCggLBQdLlcqGtrQ0VFRWoqKjwIBJ6vZ6+jL7CdU6nEw0NDZQ41dXVua2Y5HI5nSDHjBnjFqcXIgsOhwO1tbX0uoQmXnJfyEY0M/7ITVdXF8rKylBRUYGLFy+ipqbGY3UXHx9PbR0/fjwyMjL8vvjseV0uF1paWtyIDEuG2ftCSDEhMsnJyUPuW+d0OlFfX4/S0lJ6XiHiCXzn9WHvYWpq6rA8XyxYAkkISmlpqUeIiSAtLY1O6sQelrSGwsNDngXWvtLSUrc6WCw0Gg0lneTnmDFjkJiYGNRVvphrcDgc9Lsm7x353ds9Jp5uQlTJdeTn58NgMISdLPk6Xnt7O70ulkSVl5d7JYnA4IKE9UKR33Nzc93GrWggS75A5gN2QUpIQkVFheBChECpVHolk9nZ2V6f1WglS2KPJ5GlCMJfNpzNZkNFRQUlNykpKRg/frzHxElIE9lPLpfTF5lPFlwuF3p7e3Hx4kVUV1fT1YVSqURGRgays7NhNpshk8ncCBCf+LCeDY7jkJaWRl8Yb6t4h8NBV658gkJW23l5eRg3bpzPVM/+/n43Twvfe2UwGOj1jxs3zq9XwWazob6+HhcvXsSlS5fc7guB2WzGmDFjMG7cOBQUFPjN2CPfUV9fH8rKynDx4kW6YueTGq1WS8lMQUGBoKfMH0mzWq2oqamh13Dx4kVB71N8fDw9D9HVCAnUxZwTGPxOGxoa6DmJ505osOWfu6CgQNCzOVTi4nK50NjY6EGg+HV7WHtYIknuva/zD3ciJ15O1gPlb5ImHkNCQHxpCYNFlrwdi9xjvheNv5jig4QjyXWQbTjffzAF6ORYxLNPro2MV2VlZaitrfX6eaJd5Hvb/C0SotErQzwthESyhNIfmSReR5ZAkXviTcYRimtgIZGlEQBClrzV1gEGB6e+vj76oiqVSuTm5npof1wuFwYGBlBRUUFXfnK5HOnp6UhNTXVb9RASNDAwgJqaGlRXV7uFuVQqFSwWC7Kzs5GYmCj4sHV1daGurg51dXUeeqCkpCRkZGQgPT3dLYuJtcFut6OhoQE1NTWoqanxWK0mJCQgKysLWVlZlLyxIMciJK6qqgpVVVWora31ICMWi4UKztPS0gQHT/YltlqtqKqqQmVlJSoqKgQnWyKaz83NRXZ2toc3zBvRsNlsbi7fqqoqj8GHDDhEcJiTk+MzM1DonC6XC62trW6rxerqao97Q0K47MBGtE9DFW6zgy0ZZGtqagR1AQkJCW7nJokIYiA2G66rq8ttsC8rKxMkxIDnqpnYRN6ZYHugyH7E28kPmdTW1nrVnaSmprrZSH76+96CPRmR87W1tVHbKyoq6EQrpOsjIN8/az/f6+cNwSRVYvbp6+tDVVWVW6jGm9yABdEGCYW1xLzXYu0LZD8xBELoWMTjyF4/G74S8jKzx8vMzPQQnPPH0GgkkMDgnJefny+RpUhAiCy5XC7YbDa3ydtgMKC3t9ftYUxNTYXFYnH7guPi4ugkWVFR4ZbZZDKZkJqaisTERA+viMvlQnt7O+rr69HQ0OCWIq3VapGeno6MjAzEx8cLPqBkcqyurnZrH0JsT09PR3p6ukcGGnv+jo4OSpyamprcJgiVSoWMjAxkZmYiMzMTWq3WZzZcXV0dJU98e5RKJbKyspCdnY3s7GyYTCZwHOdzxdPX14fKykq68Qd/4lkjxCY7O9uvN4tAJpOhvr7ezQ3OJ44kvMFO4EIvqz9PkM1mQ3V1Naqqqnx6A3Q6HZ20iBbF1/WIIVUkbMauVL0JUJOSkjxWpkLXO5zSAQMDA6iurqbeA7IJabIAUM8pG14iz44QgkWq+vv7qe6GvXdsjTIWJOuTTV7Iy8tz05CFiix5A9Gc8a+BH05nIZTFlpub66brCjdZAoQnaBIWZ58jomETCo+zSElJEcxEzMjIcLuv0UKWfO3ndDrR2NjooY8iZIqdj4TsycjIECSU2dnZgjIPiSyNIgiRpdbWVrS1tSEhIQFGoxEKhYKuPhwOhxshUSqVSExMREJCAnQ6nZu3ibzAtbW1bp4flUoFs9mMpKQkmEwmj4HO6XSitbUV9fX1aGxsdHvR4+LiYDabYTKZkJSURAkLG8bp6+vzSno0Gg0sFgvMZjNSUlKQkJDglTwRgXl1dbXHasVkMiEtLY0eKyEhweuLY7fbqYeooqLCYzLU6/VIS0tDeno6LBYLUlNTfYpUVSoVurq63FZTfLEo0XOlpqbSzWKxiKrHRMI07MDLJ3zAIKEg94Bs6enpotzc7DmJQJ0MbpWVlW5kmcBisdBrMpvN9JwGg2HIxStZYbQ3PRpBcnIy0tPTYTab6ZaWlgaz2ewzJBpoUUpWG0eIlDdiYjQakZmZiZSUFPpMk5+pqalew5v884q1j0VHR4ebp4z87m1C0ul0yMzM9LCTbMnJyR4LkGCRJW/H6+/v9yBQxOvnK0MvKyvLw/bk5GS339n3INRkSQjknpAFilA4y9tzBXy3qGOvKTk5GUlJSR4/h6KVCgVZ8gWhcY0lVN50fARpaWlIS0ujcw97/exmMpmg0+mGVPNMIktRDD5ZcrlcqK+vp54FjuNgMBiQmZnp9kK0tbWhpqbGbVJTqVRISUlBUlKSh5iyt7eXkh9WS8JxHBISEuiDxv+cUqmkobLGxkaPsIVer6fEJTk52WPSstlsqKurQ21tLerr6z0mYaVS6THQqVQqt4HO6XSiqamJEiehAYaEDdmJlNjCTlhEb0E8RN5CQ/Hx8ZTkmM1mpKamUs+KEBnp6Ohwc0l7024kJCS4kRtCzvxNmJ2dndQb5ItQcBwHk8lEj0tIGn/i9kVuHA4Hampq3AZ2b5of4DsCTM7F/s5/HsRMqn19fdTjQwhLfX29z88YDAb6/VssFqSkpLj9e7i1gsj3y2aLeQvjsYiPj3d7JlmSYrFYEB8fH9TSBmRC4uuJqqqqfAp2CYxGoxsB4ROqlJQUxMXFDTnLMRDxMfu8E9JaUVEhSOS9XYsQieL/Tp7RUJElX+js7ERlZaWbiJ6EMH2Fs/gwGAyUOJA5gCVU7O9kHAs3WfK1H+uZY0O45N98mYc/aDQaSqpMJhO9fvK35ORkN9JFFu0SWYpieAvD9fT0oK2tze2FIRMtebmdTic6OjrQ3t6Ozs5Ot4FbpVLRB4QNnTmdTrS3t6OrqwvNzc0eXhaFQoHExESYTCYkJia6ZZXZbDY0NTWhpaUFLS0tgjH6uLg4OhjxB1Zib1NTExobG9Hc3Cw48JHrJBMMP/TX19eH+vp6tLa2oqGhAU1NTYKER6/Xw2w2U82WxWLxIDokZEeO09DQ4DWlWK/XU+8K8bAYjUbBQae9vR0NDQ2or6+nm7cXXqFQUE8EuwkRV/YeVFVVoaGhwW3z5eY2Go1uHihyHm+hVWIbMDhIVFZW0jBtY2MjGhoa0Nra6rOOC7lnhLSI9d7xJ5qenh56/sbGRrfNl1YEGBygk5OT6bUTW8hPcv2BeniIV6yuro4+042NjfR3b+E8FsTLy5IpQvbMZrObh2Q4YT1CPkhJkubmZjQ1NbltYidnrVbrRqbIvWWJVWJioqAdw51Uia6rsrKSjkPkWsjPlpYW0YQKGPS4kfGK78VhxzLyrgeTLHm7VpJ1WlFRgebmZrdrJT/J72JIMAutVuuTTLE/TSZTRCp9s/ux2svGxka0trbS+0E28rfW1laPEjNiz0fmO5ZgXXHFFbj88svpfhJZiiB8CbxdLhf6+/vR1tbm0QaChD9YItLZ2Ynu7m60tra6kQelUomEhAS6qdVqOlH19vbSl6+trc2DdKhUKreXR6/X03MODAzQh7StrU2QZGg0GrfBhxVqE+LGDtxCrli1Wu02maSkpECpVFJPm8PhoMSJkB5vhIfotsiEzabRk0mpv7+fEh1yTKEwGLk+vgcnOTkZMpnMw3vT29vrQW4aGxu9ZpZotVo3b01GRgZSU1O9hpxcLhesVqsHSWtoaPC5MtNqtYKeKKGwDB+EQDc3N9NrIucUysRjER8f7+FlI5vYgUgul6O3t5cSFXJP2c3fZKLRaChJ4RMqIVInlrT09fV5ECj2d2/PFB+JiYlunjLWQ2WxWGA0Gt3GjqH0QXO5XOjq6qLvIftOsr/7I6asDSwBIRv7DpvNZq9hyuFkuRH9IyEUhFSQa2HJlRhCS6BQKOg1EQ+OEKlKSkqCUqkMurfNl9aTJVQsqeITrECuFxi8v4Q48EOBLNEi1+1vvAi17opkerMEiv87/2++xsbf/OY3ePjhh+m/JbIUQXjzLLlcLrcHRqFQeHg9tFotEhMTER8fD41GA47jEBcXB6fTiba2NjQ3N3sQJ+C7lRTxHpGX2ul0oquri2qm2traPMIMarXaLT5MyJNGo4HNZqODUlNTk6DXgQw4ZNBMTk728JgQu4n3SchrlJiY6EYk+Bl7AwMDbh6shoYGwYGeeB3MZjMlIykpKR6D8MDAAJ2Mm5ubqTdBKAwjl8upnoZ4oLzplZxOJ7q7uz3ITXNzs1ePjdFo9CA2FosFarXaa3iNEApy/KamJtTX1/s8j0wmoyFI/iYmvMaSBZYc+iNvwHdhNX5oz2w2uy0S/BED8kyz52btaWtr8+kZI7YQksK3KSUlxeuE7882m81GJzI+wSPPrhhvj1Kp9NBKsd4qIU3XUCetvr4+NwLV3NyMxsZG+t4TEugvPElgMBi8Eiry05d3Y7gC756eHjePFJ9Mkb/7KokghISEBDcCxSeOhGQYDIagl0nwtV9PT49PMsXeA3+LHSHEx8d7eKvY0CC5dhL6ioZyCgMDA3S+JIt3QqYWLVqEefPm0X0lshQBrF+/HuvXr6ftTdgHZ2BgAL29vVCpVFCr1ZDL5TTObLfb0d3djZ6eHo+ijFqtFvHx8W7iNqfTif7+fvT29qK3t9dj8OU4jgrD9Xo9tFqt22cdDge6urqo10qI/Oj1eiQmJsJoNLqF3RwOB7q7u9HZ2Uk3PvHhOA56vZ6K2RMSEqDRaOgKhXjM2tra0N7ejra2NsHVERG6syFEvvi8r6/PbYXBD3MSyGQyt9g2G9MGvvNAORwO+pKxKxZvIQCj0eg2kJDBUkgDZbfb0dra6nFsXySDrzcRIqPs/QIGJ2xyHv6E4SuUwYZbSRiGTGy+Bn9Cqvr7+wXP2dzc7Nd7QcIIbKiKXHd8fLzHwOivHx25fvKT3fyJToHBCYKvhSH3JCkpya/g3tv9crlc6O7upveHPLusfe3t7X7JHjD4fbHPM7lvbNhF6DkZSuiPvBdCXg72mRYbLpHL5TREIuTVIH/zla05FG8bCzKhtra2uoV8hDwVvjLf+CCee1aczNfXkM2f10bMdQSyn81mo2MuP9QltAUaDlQoFDCZTIIbew/IfRBalIS7xEBXVxdmzJgRnWSJiHvj4+N9ahxiFcSzxJKl7u5ut4lKqVTCaDRCrVa7EZG+vj709fV5TPgymQw6nQ5xcXHQ6XRuk4XD4aCkiX8e9rN6vR5xcXFuJIF4Qbq6utDV1YWenh6PFaRcLkd8fDzi4+NhNBqh1+vdPGYOhwPt7e10Exow1Wo1JTwmkwkGg8GjhD/RaREPmNAApdPpYDKZ6KqGXwWZuGzJINDe3o6WlhbBsBhLoMiKV0iXQcIZ7CrF16RLtGViCY7VanVb+ZLNl1aJnWjI8VNTU31O4sQj097e7haO8acRIveJv4pOSUmBXq8XlTXX399PtW18L4a/1a5SqaREipybELmkpCSfxEloQu3r6/MgKOy/xYQ1CIkVEhgnJyeLHte8aZFYAkLC6eR+tbS0eK22LWQnn4CwZNQXEQ7UO0LePb6HgyUg5B0S66US0uKwng1yDd6e+2CQDLK4I955fmiM9fiLIeIsiNfG35aYmBg0nVEgZKSrq8uNOPKJJXtPxIZzWeh0Og8CxZJM9v/4Y/2IJkudnZ144IEH8OmnnyIhIQHd3d3Izs7GU089hSVLlgTNyEhDiCyROktWq9WNrSsUCsTFxSEuLs7tS3U6nbBarZQ48YmDRqOBVquFTqejniONRkOLWHZ3d1NvlVDBQr1ej/j4eBgMBg/Bdm9vLyVO3jxHBoOBkiez2ew2sBLiQ4TqQt4ruVxO9VbkRVAqlXTQY71P5KUUGoj4mX/Es0OuR61WU7LDXxELeVkIMWAnQXZCYQdlEl5kJ1xf4YqEhARBoam3l55MPGQwJpOlLxJFQgVs+IOvUxIiN4SwsechYRhf3iiiPWM9QYR48lfNvmoj8QWuxA5/4R+SKSjkfUtOThY9+BHbyITPJ67sJsZ7Eh8fL2gPmeyJp3ioAm9vzx7r2fNVkZmAL4JlQyqEjJpMJp+EOFAtkpD3lv3eyXWIJYTAd55AdhwgzwU76Xrz5ASrarjVanUjFHzPG/v3QLw2RGcklFLPet6Jx9zXAiJUGiO+3lWIWLF/C0SwT0DGenKtLJkk5XbIz4SEBGi12tgkSw8++CD6+vrw9NNPU/fql19+iTvuuAPV1dWi6pfEAoTIEguHwwGr1YqBgQE3EkHID9EqEWg0GlitVvT09KCnp0cw7KbVaqnXh/VWEUE5+awQeWI9RwaDgZ6fEI2enh50dHTQsBv/Iec4DkajkT6wRqPRbVCx2+005Ee8Rt7aZrATCv95sNls9PMdHR1e3f5s1iApfyDUHoZdNZHB21cILzk5mdYA8rYiJxMB8d6QycsbwSGZU4RkEOLBTk78iaqnp8djMvd1DsA9nEf0LykpKX6z1whpZTOsyDn9aYP4oSyiHfPmZWPPS+BwOAR1J+R3fwMuyfIS0pqwJCAQ4S6riRH6HsSQKa1W60Gg2H/zV9GBlklgvaHePGiBhFlIuFlo81baxJd9vkAmN9YD6ItUBTLpkrIo/I2ddE0mk1fCESwtksvlot4qlkTxPXFD0VYBcBuPCZEiG59k8cdrsddAMJTegOT59Oat4t8XsaFpPjQaDSVO5PpXrlyJq666iu4TlWRp2bJleOyxx7B8+XK3v48dOxaff/45xo4dO2wDowHePEuA+4Ol1WrR29uLnp4etxeeEBWNRgONRuNROt9ms6G3txd9fX3o7e31ID+k4CXRLPHDVORB7ezsRFdXl8fnlUoldQ+TUCH7eRJS6ezsREdHh2DIkH1Z4+PjIZfL3VqZsMSptbVVcKLX6/VugzLrASNeNJIlwQ40Qp4I4nEhJIFfHkClUlG7+GEibwSKiMhZ0SoZEIQIDuutIb9700IkJiZS4kQImi/xJPCdAJ7dGhsbfa7QWaEz65ESE14j2qDW1lY34b23DEgCjuOoN4MvBPamY+BDoVDQCYd/zeQe+xOcE68kmy7PEiuh0Ie/yZINA/NDjuQZFROqIfeIT6LYjV8eIlAvFclc5T+TfE2dWEJFwqX8MAqfVPkLUQbi5SHPgDdSxWpzxHjaCMizQb4DQiyIx4oND/EzFwO5BjH72e12+j2x18YSCzKWDoVU8Be7QiSLT7jYsSEcjZSJ1MNXOJCVgnhbkAPAL37xC6xdu5b+OyrJ0n/9139h69at+NOf/oS8vDx0d3fjvffew8svv4wLFy6IvpnRDiGyNDAwgL6+PlqckRV4k/8ngm3+ZK9UKqleie9WJGG33t5e6kHif0UajYYSJ6J5Yj9Pwm3eBN9ardZNrC1EvgjpaWtr8xiUCHlihdX877q/vx+tra00ZVZooiNZeyaTCenp6YKTGXmp2IFTaHJiC2cmJw9WkRYSk7IEioSFvGU0yWQyOikQ740vLwoR2vOzprxpZtgMKZbgkO/TV9Ycn0w0Njb6JBMajcYjpd1sNgtqurxlzQnpk/x5XvhhNZbEkfRtb+fkw2q1uml9+N4gf5MnSZVnw1IsqRKaJNnPekN/f7+HgJjv/RFDUPjkhB/uS05OFiw2GQipYsmIt428t2JBdIdCISVyHSaTyS9pDkTgTd5joTARGbdYL4ZYTRWxg5UT8MkUu/HHvmCHxEjZAfb6CJFiCRX5e0dHx5A8NgaDwYNcsaSKvR+JiYnQarVBL7vgi6SxdQ2JHIRc+/Tp0zFlyhS6b1SSJYfDgb/97W947733UFNTg/j4eMyePRu/+93vMGbMmKAZGWmIEXgT3RBfrE20Tf39/ejv7/cY0EnITafTQafTQaVSuXlbnE4nenp6qGaJPzGRTDUSduMPpkQETIiTENHQ6/UwGo10Y0kGWVmzL6cQeSKxZ/JC8TVBRMfCuqKFhOdk5U0mCn64Ta1WU+0PSd/2NhmRbDA2HMY/HvFAdXZ2uqWEeysASDwEfO8NWV0LtUUhXihybDKJevNCEbvZ9HIhzRABOWd/f7/HNZB6Vt5ec3LPhdLa/XkMiDeou7vb7Zz+vHjsveR7CNnfhSZXX1lpnZ2dbiEp1hah8hx8sMJz/k9CLP0N/EL2kdCnUMiJ9ZiIgUajERRG+yNU3mwTgkwmo5ll3sgU+ekrVMwHyfYTEvyK9VQNhYw4HA50dHQIZoexpIpMvoGALBxZjREbCuRrkMj4E0xSxe5jt9spuWIXvHxSRf6vo6MjICJJoFar3QgVn0zxw4SkJZgvjGiB92gBIUtiQYSecrlcsCCXXC6H3W6HzWbzmMRIF3kiFOcPcE6nEwMDA1QjxX/QiTCcpPYrlUo38kUy7UjYT2g1zpYp0Ol0Hp4vorfq6+tDV1eXoOZJp9PBYDDAZDIJtosgJI4Quc7OTq+EhwjPiWuZf09JBiBZcXR0dHjN5DAYDG4x7+TkZMGXmE8SyWDrzYui0+no8chAyRYHZaFUKmmldHbiaWtr85mBYjAYBAdgXz3XgO/c/mSwZCcHXx4PktnCX1WT1bS/wY/Vx/E1C95KQrCIi4tzu1aTyUT1Zf70NHzbHA4H1ZSwkyT5KSbcwXoc2I2dMMTqNPnvNfmOvE1ugWRmkYnMl7bF1/0LpNdcX1+f23PFhk18LbB8gdSmY3UpQuEjb6QQGHqIiJANfgiI780gmb6BTp9kYcq/PnZMIr/rdLphl1Pwtx/xhnd0dLiNn+xP/t8C+S4JSBIRiWgQ5wP7k1w7+RubpR3I9XZ3d2PZsmWRJUsOhwPl5eVITk4WJA9ChRpHAsSSJZlM5kFeSC8bmUxGy/CzWh+n0wm73U43PuRyOQ31qVQqD+LicDhonSar1Sp4fkKejEajh+fDbre7kSdvxIet8URsIIJxq9VK9VJC5AlwJz3x8fEeHh6lUone3l63l1IofKVQKNwGFqFrIveNP2gLHY+N75OBWEggSewlBErMJKZUKgUnVF/khojeyaqPkAtfK3iiR2NDIUIZT3wCwYpS+attfxolog3iewiEJmFfZJRPXsjmL3OKvbfsSp7c50BT/Yn3gR/SYcmUvxU4eZa81aVhQ1FD6YNHvD18jwH7N7GEirRMEiIiLCn2RYjFhmE4jqP10/jhI/7vgfRaU6lUHoSDJYYs8fB2v4dLNPjEil9vjv2/QGo7Ad91dfBGpthxy2g0+q0VFgxvlsvlQl9fHyVX/Ovnky6ihR2KT4YkKrHXK/R7bm4uMjIy6OciTpbOnj2Lq666CuXl5ZDL5fj5z3+Ov/71rwCAvXv34p133sH777+PPXv2IDc3N2gGeoPT6QyYlA3lM4B4skREyg6HAw6HQ/ABkclkUKvVUCgUgu0MHA4HJU5CL5dCoXAjT3zyZbPZaHkCq9XqYQPRS5ESBfwBz2azwWaz0ZAdn8CRCuRxcXF0dSekuSLESSh0CIAW5zQYDJRA8SfZgYEBN+E5v7ceAb9gJiF1fJASCOxA5k2rxK50iObG24A7MDDgdkwyKXibXMmEyhINIS8Uv2q6UBjBl16I9USxtaz8eT9IrSg2i4clEL6ylYRIjNls9luQkP8uEM0bn0iJFb3Gx8d7hEPI72xRzEB0lSS8wXoCWQIgJotLq9UK2sVqQwK1jd2PLczIJ1bk2RQ7eXEch/j4eK+kii2b4AuBTNJ9fX2CZIr/t0DKEJDrIASQfa/Zv5lMJq/XMtxSBEROQa6B76nie68CbXkCgI7JhETwN3KtZPN2TcHOmiMJSELEiiVV7P8HEt695557sGbNGvrviJOlW265BRUVFfjVr36F5uZmPP744/jZz36Gt956C0eOHEFOTg5uvPFG/Md//IfPQXG4eOKJJ/B///d/aG5uRmFhIZ566iksW7Ys6J9hEQhZYuF0Ot02PrRarc/VgEqlwsDAAN2E6iP5GqyI18ebXgoA0tPTodfrBa+DDbmRGk988qRUKjF58mSvg4RaraaeJ0J6hF6E1NRUFBYWer0XwHchSHaQERpUDAYDli1b5vdlJuSUP/EJ3Se1Wo1Vq1b5fbYJwSFhNpZo+BoE8/PzsWLFCsFj+QJZ5fHrwHg7D8dxuOqqq3zea1/nZVOEyfWx5MHXcLJ06VKv9dfEDtBKpZKWc/CWouzPO5Gfn48HHnhgWHWR+GAzUr1pY8RM8NnZ2Xj00Uchk8mCZhsBucdCIT8hb5UYTwjHcfjBD36AlStX+j1vMK6DHMtqtQp6pvj/DkSTw3Ec7r//flx99dUhvQYxxyMZykKkih8i87Uw84YpU6bgqaeeEhwjQ1liwBfY85Jxnk+ihMKF3//+97F69Wr62VCRJXF+VAAlJSV4/fXXMWvWLADAggULMGXKFMycORO7d+/GggULgmaUNzz//PP405/+hI8++ghz587F//zP/+Caa67BqVOnkJeXF7TPBAsk/AZ8F3JzOp30d3+DERtCAwbdvoQ49ff3w+Vy+dScsPolYHCiIeUJiNeov7/fgywJfT4pKcmDPJEaTf39/T5JhFqtpuJdYNB7RSaW9v+/yGW7CGEl8fgYjUbk5OQA+G7QJFtraysNBfpzS5MQo06nQ2ZmJgBhQTvJluvo6BC9ECDFARMTE93+3tfX51aPhdQ3qqurE3VcPoiHLisry+3vbIiLLQfQ19eH6upqv8TUG8gqXUiHxicx7Hm7u7tRVlYWlGK1bFYbH2yYgC9GJve6tLQULpdL9GAvBqz3wptnnTTcJmE9Qk5YOysrK9HX1xfSBSfp/Sh0/4Dv5ARdXV1eQ37E7r6+Ppw+fdonWQoF1Go17f0nBDa8yvbSFCIebW3f1WQrKSkRJEvhBhl309LSRO1PxlB+6E/Ia9XZ2YkTJ07AbreLWpBFAqRendls9vi/SMl8RJOl3t5et5erqKgIKSkpeOaZZzB79uyQGMfH//7v/+Lee++lK/A//vGPePXVV/H888/jz3/+c9A+Ewqwom9COgIF6S2n1Wq9apz8fZ5ojwCIIigs+OTpzJkzQ6rayoZqurq68O233wZ8DAJ20HS5XNi8efOQjwW4hxkJgdq6davobCV/IOSGHLu1tRXvv/9+UI7Ngk8CAeDQoUPYs2dP0M9F4I3EnDt3Du+++27IzsuCEGAhAtnT04M//OEPYbFDCGTyS0tL81htOxwOt1oxkQa7MPFG/nbs2IGXX345vIYFCLazgBDIxLtp0yY8//zzYbQseJDJZHQBk52d7XO/7u5uXHPNNWG0buQgIIp2+PBhtLa20n+T2i3hQEtLCy5cuIDLLruM/o3jOFx22WXYt29f0D4jQYIECRIkSJDAQjRZMhgMuPnmm5GUlITMzExcddVVaGlpwbZt24YcQggEDQ0NAEBDOQRms5n+XzA+A8BNY0M2CRIkSJAgQcLohGiyVFJSgkuXLuHdd9/FnXfeCYfDAbVajXvvvRfp6enIysrCjTfeGLRwhTfwhWxOp9Ov9iDQzzzxxBNuRRr57nwJEiRIkCBBwuiBaM0SMJhFkp+fj5tvvpn+rby8HEeOHMGRI0dw9OhR9PX1eYhagwEidGtsbHT7e2NjI1JTU4P2GQB49NFH8dBDD9F/d3Z2SoRJggQJEiRIGKUQTZbWrFmD6dOn45prrnErAJWbm4vc3FzceOONITGQIDExEYWFhdi+fTtuuukmAIMeou3bt+NHP/oR3c9ut8PpdEKlUon+DB9qtdpra4nhgBTtHE7RdFJLaSgl6snnSUbdUEFqhgzVBmIHyQ4aLkgGVKCCdX/HJHVRxHSdDxSkjlFNTU3Qj82CTRMP9blYkOtrbW3FxYsXw3ZeFmxj5tbWVtTX10fEDiGw3wspvxDN4JcbaG9vx8mTJyNtVsAg1f7ZyvxtbW04duxYpE0LKkiNOjYjjrR0kjA0iCZLU6ZMwZtvvokHH3wQkyZNwjXXXINrrrkGs2fPDmoKri/8+te/xv33349ly5Zh3rx5+Mtf/oLu7m488MADdJ81a9Zg//799EUW85lQgi0ZQMoGBPp5u91OCQ6/RYrYLteEmPT29rqVLBDzeUKOSMkAfp0kMXU02Aa/pMAkm0knthowuR42FZZfgp/juIDSS1li5KvI4FDSbEkKNr8JJr/Ssr8yB/5gt9s9ai2RWkhCjZiDAXJOfisTbxW4g3Vevg38mktsartQ1mko7OBDqHQDa6e3wpBKpTLs6dykECS/eCX7N1+6TW+lR8IJtv4asZd/PYQ4+CrZEg3XIgS2lAO/NAAhfCwx8lfTi19MOBbAFilmr72oqAgTJ04M+flFz1Br167F2rVr0dbWhs2bN2Pjxo1YtWoVFAoFVq1ahWuuuQZXXHEFDAZDyIz9wQ9+gO7ubjz66KNoaGjA5MmTsXXrVrf0aKVS6eYVEvOZYMNfFW/SV8ub94q0QOnv7xf0InEcB5VKRSuB8+FwOGghSqvVKliFmzTvFUqpdTqdtBZTd3c3+vr6BCuBk+q+QpMPOUZTUxN9wIWKapImwN6+D+I1YkmWUP80UucmISEBFovFK/liPVrt/397gtbWVkFPG1vJOz093WtdGgK2VQm7eRuc9Xo9reQstvE0nxyQCcFXl3iVSgWTyUTT+idPnizqXIBnSxS2AKW/Duektxup9Dx16lTR52XPz1Yv5/eZE1ONmm0HYzKZMHHixGFNFKQAJUvM+IRIjDdSoVB4VDufOHHisIkzayfxohCywBIg8lOs51Qul3v0mktKSsKiRYuCYq+Q/fyK3vzik2QLpKI3ANq3km2TkpSUFJQ6YGJhtVq9tkYRIkSBevLZsglse6jExETMmDEjoOr1wYbdbqekhyx8+f8WW9V7zZo1YSFLw2qk63A4sHfvXmzcuBEbN27ExYsXsXjxYlxzzTW4//77w7KCCwfEVvAm1YWFyA3bI06o0jfb5kTopWBbnCgUCjdvHmlPQQiSUO0jlUpFG+NqNBqPFiX9/f20P5w3cqTX6xEXFwe9Xg+lUul2HQ6HAz09PbTNiVCYjvT6IZter6cvLJkg+I0dOzo6BK9Ho9G4DQTx8fFuLz8homw/LTIoeWtxwm/cyR6TP4HxC1eSYphCIJMMGZxJM1hfoV7izeN7bHyRIlL/it9GgzQc9eW9Y9tksOGh1tZWn/W81Gq1YAd59vr8eQ3JtbIEkK187m8yJ2SQ3Uhrl8TERJ+eGqEJw+l0unkmyD1hbRJT40yv17v1WmPbmqSkpPhtBuxrMiOEjX2u+d5LsXYC3zWC5veIY98Hg8HgNm6I9QYLtXUinlz23SRE2N+76g38fnekvQfb0oTfTzIY/dLY62IXYnyCx/cADaWlicFg8GhpwhI+9u/85yuY1wp8V8GbfJ8s0WHJjlDVbV8Nw31BLpd7NOK9/PLLcfnll9N9It7uhOCLL77AzJkzBesrlZWVUeL08ssvh9R7E06IJUss2CKU/AFRpVL57QEnl8uh0WigUqmgVCrdjkF0S2xojg9CZjQaDdRqtRtJI0UxSTXvvr4+D2KjUCjcyBHpQ0fgdDphs9mop6enp8eDYCkUCtr3zWg0CnYJJ8cg3emFPAWkY7XRaERSUhISEhIEe78RokVeRm8rTnI8thO7UPNccq96e3vdQmm+JnDS+4slLPxJhp282fYh/FCIt5WkWq326L1G+lr5m3wJAWNDdW1tbT4HL1KNnH9dKSkpPju/EygUCjgcDnR2dnq0JiHn9zepE0+AUMNgIRt8TeRsaJQQQz7R8FddnzQT5pOL5ORken98kWF/RIi8D/zwHUswxBIh4gFmyRrfbtZWsZOlUGNmMmmydrLXQZ7tQIrZEg84S4D4/epIn0ryHASr7Qjbxobv/RHyBgVapJc0yyUeHz7hYfu5eWsaHmwSRFo18YkP/3f2Z6AFkoHvogHeGuTyfzcajdDr9X5JetSQpdzcXLhcLmzfvh35+flu/9fa2gqTyRQ046IFhCwlJCTQl5F4cdjbJ5fLaeVk/kNNQmOkwS1/MFapVLS5rVarpWQJcG9OS3RD/IlUpVK5eW34E7LVakVvby99wPkPNyE2RqMRFovFY+J1OBxug6AQqdFoNG6TuF6vdxuEyWBKJuuWlhbBLumkPUpycjJSUlKQmJhIBz+2aXBXVxeampro5q1HUnx8PMxmM225kpycTF841mPkcrnQ3t7udsympibB1S3HcdRDkJKSArPZjOTkZK+VgoHBZ6apqQmtra1obGxEU1MTGhsbvYrt2ZL/ZEtJSfFouiv0rJE2I2KuhSAuLs7jfGaz2e3+s/DW7oScq7m5mf5saWnxSUBkMhkNE7LfFfm+yPckVh/X19cnaAexxd/gLpfL3UKX5Psl9phMJsFBW4x9JLTU0tKCpqYm2vaG2NbS0iIqAYMQNhLmJN408m9iJ3k+hkMg+vv73d5b4mXj/y2QxBG20TNrL7Gf/J31YAeDGJDwZEtLi1tbHL5HUyyR54OEn1kyyvcskmsVaqAt9jrE7kO8xmRhwHoeWQIrRp/mC1qt1oPQCpFzQgL5C1Sx2md/19vV1YUZM2ZErjcci4kTJ2LJkiXYsWOHG2GaOXMmduzYQft2jXSQ/lIkPBYfH+/2hdtsNvT29gqGxmQyGSVW3shV+//fN627u9vj83K5nHp9kpKSoFarPc7NFtXkD2JsO4OEhAS3VZlGo4HD4aBuY2/aEBL2IYMan2AR8kEGUtJ/iQ+DweA2GQkNIDabDS0tLW5kRuhYhGhZLBY66QqFg4kWp729HY2NjZS8eNMukQmTnci9hXecTiftKUcIUXNzs9dBSC6XIykpye3YZrMZSUlJPgcQu91OB3dyDY2NjT6JCWm+zD9XSkoKbcjszyvT0dFBSR9LxJqbm33qKkhPMpYIsVsgGor+/n5KMISImb/wjUwmoxM0S8wJ4TCZTG6DsljbCGEktrEkiPwUq68xGo2UrLEEiPwkIcbhaE9IlhuxjSUN7BZIF3jWCyi0kf/jh7aHq6FhRfUsIeB7M4WSN/yB750T2ggJEiM/GY5mjmidWO2gNxI0FD0XMDhOsN4uoY08g2Tzdt2hFJKTUKZQpCHYGBJZevbZZ/H44497EKbhpsXHElQqFRVqkwmN4zgqbO7p6RHMptJoNDAajdBoNB5hLaIb6u3t9RjsSc8r0ttNq9V6kBviLu7s7PSIh5PQE3Fr6vV6t4eY6DQ6OjqoZog/8anVareXg/W0AXAjWGQS56/KSEiHDeeo1Wq3F40QGXaiERITkwmPnewI0eJ7jLq6ujwmViFiRPqbsZM4f3XLwmq1UjsJUWlqavK6GjUYDJTIkc1kMglOFOTeEqJIiBchJ62trV7fN6VS6eGlSU1NdfOq+UJPT4/H+ch1+ppolEol/U7I95KamoqUlBQkJCR4HTj51+90Oukkzp6b/Nuf5oF4Xdhng/1JvGWBTtB9fX0+iZCv74RFXFwcJT1CRMhkMg17AiCEkm3YzNpKFh9ix2ytVutGeFjbfZGg4UyW5DlgvVlCBKi1tTVgDRBZaLKEh/ybH7YUq78dyrWShTE/gYL1+LAh40CIK4FCoXALX/L1aPy/JSQk+H03gi0QZ72XQqJ+oRCo1WrFr3/9a9x3331BtUUIQyJLMpkML730Eu677z4sWbIE27dvF53NM1JAxNoEJEupt7fXbfDRaDTQarXQaDT04SKDoM1moyn5QqJqtVoNg8FAtUPs+YigmnxWaPVAGooSMTXxHBB7SQYC0R0JnZ99kfgEj6xwWG2CkG6Jda0LhXTIoN7a2kp/Ck3IcXFxbt4QIZLBeozYCc2bx4j1rJBjCg14ZNDmezG8TdpCZIV4ubx5pGw2m8ckTMKL3iY0tVrtEaYzm80wGo0e18EnSeR8LBkhv/sakFmSyr8+IULkjZyxJJDvpRITKtPpdB4kiGwWi2VIKfi9vb0e94LdhMLGfCgUCjfyQwg3+7fhpqgPDAxQ4kPem6HYCnwXcmRJEOsJIuQyLi7O43NDBQnJs2SOkAX2+feVTSoE1tvtbSO6R7VaHbKMMCHJAbuR74wQg0Az3YiYXSjMJUSADAaD6GsNVikgm81GiQ0/UUWo3MhQSCAAn0kvwcSQyBIweENfeukl/PjHP6YeptEGIrTmp+crlUoaXmMfUKI9IiSHP4GzmifiRSIgotTu7m5KkPhQq9WUHBkMBrfJgkyMxHskRK6USiV1/ScmJrqF1UicnxX1CdlAioGyK00+qSSrXLIJvSTsAE4Gb51O56GBIpoDdsAVIloymYyKklnvgtDq3Wq1CupIvE3eer3ezXtDdFbeVpksKWK9Nu0+impqNBqPsBnJqPKVak48huTesOdra/NdENRoNAoSIkJ4xXioiD6HTzJJSQlfXg1Wx8SSIPL9seSfD2+28T1D5HsmdokJWcTFxVGCxvcIWSwWxMfHD8ubQjRnQuE8sonVlWi1Wg/PFX/jE9zhhk1IQVKW8LAeLbGhUgKiD+R7sISIEHkmQhX6sdlsgtcmRIYCyeQjnlAhrZOQOJ+VKoSrXhK/jAjfG8YnQkMhMcQzzSd9fNE7mwHoaxwIJgImS1dffTV1SXIchxdffBE/+clPsGTJkiHFRmMVQgJvrVbrkTlGwmtk468gNBoN4uLiEBcX5/Y5koVFNEt8jxUwSEzi4uLoyoGdNMnKk6TyC2VvaTQaSq7Y0CAJ67Guz46ODsEVHskqIxufYPF1BN4mSKPR6Laq5XtGSCittrbWjcB4I0ZseI4Nu7Dgh/v8hXiI5obvyWBd9CxBJUUb+ROdL1Kk1WrpsQkx8KbjYjEwMCBIwPyFzchkyl4PCdeJqWJPVtBCQmox5EOj0XgIqMkm5OXztzomYVFCNAK1B/iO/LLfNUuyfQ3O/uxjU/6JfSwxJ8+HGE+DSqUS9KqxG+sNGq4XhejVvIX1yM9A0sKJyJt9X4VCksT2UBADNkwvRH7YvwUqfibhVv7GEleSGCJE8ENNhFj9k1Bok+8FClTsLpRJK1TehNwHMdm1kSqmOaw6SwQulws/+clP8NJLL6GsrAy5ublBMC16IJQN19fXh/7+fnAcR9ujsAU5BwYGBKtdcxxHyVFcXJzbADYwMEA1S0Lp/EK1joDBCYdky5GQmtCqhoTlSDo/OxkODAzQkFx3d7dgWI5f44IvcrbZbG61RLwJKUnqO5s5wd47lmSxMXxvGiO+mDQhIcFDY0B0AXzNhrfsHb1e7+HR8Ka5YScR1oviS7/CkiJ2ImYnN34YiXj3hDQzvggY8aoRDxF7TjFp9+x52cmd/PSnFTEYDF61Q4QEiq3Z43Q63QgoK+r2FRbl20MmK36WmzeBrliiQUT33jRN/sgrAQnlsbomvtib1NERa5uv/Yg3VcgTxP5d7GRJiBxfl8UnCuwYJOY6AsmGI14g/nXx/+bNG+0N5LsRErHzvXfDFT0Hmg3HliLxleVH/iY2VMuCLabL13rxSZG3cgdCiPZsuKCQJYJLly4hMzMzJH3VIoH169dj/fr1cDgcOH/+PPLz8+kXZbfb0dfX57bi1+v16O7uRkNDg9ugTcJjpE4ECa+xng0hty1b4TcpKclN1M0WEfSW8UDqEpFjkFpRrF6ATDZCLw3RhJBJliULpAAbm4UlFNYhuiCLxUI3vpekv78f7e3tqK+vR319PRoaGryG5sxmM1JTU+mWnJzs8fKQ1gd1dXX0mE1NTYKeMZlM5nbMtLQ0WjqBhVKppAMRa2dDQwMaGxu9DrYajYYe22KxIDU1FZmZmT4LEjocDjqYk3ORzVeBRr1e73Gu1NRUJCUlQaFQ+CQk5NoaGhrQ3Nzsdn0NDQ1+C0OaTCZ6Tva7Jt+3PxDbSCYhOT/7fDU2NooSUMfFxbmd32w2u/3Ohl4DIRpsliObQcmK4MWGHgh59bYlJiYOuegjCxKqJmOMkM1iBPMEHMe5hbP5IVryN/b5DlbNI7IPf+wSSgDw58EVApEgsIsXdrFEfhfSAwZyDYHsx3GcG+kTIt+sDMGbt90XCPljw8pCejvi7SUEMNDilf4Q6L3r7+9Ha2srLVlA0NXVhfz8/OgmSyMVxLPEkiUWbN8zdpInrTfYiZf0ehN6sNmMNZKayZIzNpwlRG4IOeLXVyGegc7OTjqQCHkD4uPjkZycjLS0NA+vA1kxsyEeIe+VXq93ExqnpaW5DZZEr8NOOEKubY7j6CBFtuTkZA+NUX9/PxoaGlBfX4/GxkbU19d7FUSr1Wo3ImGxWJCWliY4KQ0MDKCxsdGNENXX13sVISoUCno8lswZjUaPwYJ8LwMDA2hqaqJEiJzDG7Hj3xdyDRkZGbBYLH5bDSkUCkrm+VtjY6NPDxFbcoC9d6mpqTCbzT51U/zJsqenx+37b2hooBN4Y2OjX++FWq12I0HsT7PZ7FYZ3h/Y/axWq5sd5FlnfxfjWdHpdG6CexJOZT17YjLd/E0ebD9AoZpa5D0VW/vImy6OX86CvC9iJzextbH4Gavefg8k640lAkIhdFYD5+sZDjYJ4usiWfLDJ0CBkj7A3XvK/hQiRPwxKlSVvn2BrX3lLQRKPMokhE0cBH/4wx/w4IMP0mOFiiwNWeAtwT3zipAedlLhF1AUqnZKauyQ8BEZWPgPj1CKL2mnYLFY3FJ2iV3sw8YfMMkKkX2ByOfVajV6e3tRWVlJJwshAkJsZ2sa8YlhZ2en24Tc0tIiSGTIdRASYDabPUhMf38/9TgQguFtJc96WcjGL3VAroF4MliPkTfCRcgKn3QRfY2Qy5l44Mg9IATJ270ABgmVkJdIqL4T/z5ZrVYPokd++nK7k2eCvS7yXZjNZr/nJSCeMb73RYwNwHflG/geIUK+hQioP5D3iU+EWHIkxitE9HBCGYiESAajGevAwAAV5PPLN7ClI8RmUZGwuTcSxOrigqkJESoBIUSAAvWI6HQ6D/JDxjH22nx5gYDAGnj7AlkwsyFiX56gQPW9JJTOJz/s9bILZaHwXzi1PkINrv0RoaFUAVcoFKJ7Gw4XElkaIrq7u908ACTcxE5mdrudFiRkPQVsajH/Ze7t7aXeBf7gQeqcEL0PITcajQZOpxMNDQ2ora1FQ0ODYBFM9sXiVyB2Op1obGxETU2NRxiRPT87EFksFo9VY3d3N6qrq1FVVYWGhgbBVS2pFM2uuoXayfT29qKqqgoVFRWoqqryKq4kVcfJxE7IixAcDgdqa2tRUVGB8vJy1NbWes1a0ev1dLJOT0+nx/cVg3c6naivr0dpaSnKy8tRXl7uc2Wo0+ncQlfkHImJiaLC2VarFZcuXUJZWRlKS0tRUVHhN8uNJaZ8MqJUKgOaQHp6elBeXo7S0lJ6zfznXQgk046cm70HSUlJXr0RYrwU3d3dqKyspDaVlZWhvr5elEdCo9EIkiAxtom1j0V7ezu1kWy1tbWivQlCdcEIeSB6LOI1CRYx4MPlcqGpqYnaX15ejrKyMlRXV6OlxXfldj7YQpxC3iChRZkQgpX+zsLpdKK2ttbtGsvKylBRUeHV0+4LKpXKQ5PG1z0REuStij4QGcEzGUf596K8vByNjY0B1e9iQaqfC4niydzHhgb5haBDCYksDQGkMrXD4aCdnYnwmaC7uxvl5eWUtJB2IiQ0x6+ZRHQiLEkhDVjZ1HkhO5qamlBbW+tGkPjCZ9KbjYXNZkN9fT1qa2tRV1fnQbD47Tz4FbqJjqOhoQFVVVWorq72GOQVCgX9vD8NC0tkKioq0NjY6LFPQkKCh8fFV8E4p9OJuro6SlyqqqoEq6GTtH/22L7E1uw9rKmpoQNGZWWl4EqHLUZJiBcJnYl92QmhZQeompoawUGJ1e2Qe5+eng6LxTJkTWFfXx8qKircBsb6+nrBfZVKpcf3zobL+N/ZUCZyl8tF7we7NTU1ef0M38PCLxDqLetwuJlk/HtXUVGB0tJSn8SWtLshZEEoYzAQbdNwQRYC7PdPiLIvTwnrxRYiQmTzF84FwkMMOjo66PvF/qyoqPBLiHQ6nUeYS4gI+XrWWISLCAjBbrejtrbW7R6QraKiwm94ly2HwCc8QiQoWOHpUEEiS0MAx3GwWCzo7OyEyWTyaPFRV1eHhoYGAIMhrfT0dLfQAfmyyUReXV3tNoGbTCYqNhbq2M2KjNmXV6VSIT09Henp6V7r/FitVtTW1qK6uhoNDQ1uE61arUZaWhpycnJgsVi8Dlz9/f2oqalBXV0damtr3V4ajuNgNpuRmZmJjIwMpKamep1oCNmrqqqiNvGJTHJyMrKzs5GdnY20tDS/MWgygRICI/RSa7Va5OTkIDc3F/n5+UhJEd9qo7+/n3qlysvLUV1d7eE+VqvVyMnJQX5+PnJzc5Genu5GdMVmh/T29nqs2oQ0U4mJicjLy0N+fj7y8vKQlpYmSEgDmVStVisqKyvdSEhdXZ0gMUtJSaHnzs/PR3p6ulsyQDAK/xFSyhKOsrIyr5O0xWJxsykjIwMpKSkeRDHYRQkdDgeqq6s9Vtze7h0ApKen02cxLy8P2dnZtLBoJCZLu92OmpoaQa+BN7Igl8uRkZFBn/m8vDzk5ORQUifm2QvnJGiz2VBVVYWqqio3IlBWVobW1lavn1MqlcjJyUFeXp7bdRKvo9gQbKQmfD7sdjuqq6vdiJCvhSULpVKJ7Oxs5OXl0ftBxjsiK2E7XPhDtNwTb5DI0hBBimexsFqtqKiooAO4yWRCZmamYCsH4o0hEzkrPiYkhX14rFYrJSjshKlQKJCWloaMjAyPApAErNanqanJbdDW6/XIyMigDzgphcDC5XKhtbUVNTU1qKmpQUtLi9v/azQaZGZmUoLkKx3YarXSMF1VVZWHfkWn0yE7Oxu5ubnIzs728Ibx4XK50NLSgsrKSlRUVAh6djQaDSVHOTk5MJvN9AX2R1y6urpoGJB4UoS0Y2SgKCgo8BC1iwFZtbODFSHcLMhgTQbq3NxcpKSkBHQuPsjEwa4aq6urBSd3k8lEB8eCggLk5eX5FZYHChLaYyewqqoqQU2DQqFAZmYmJRrkngiFdYMJEnoSstPbBJOQkEBtzM/Pp8TC22o61ETJarW6kQXi8aqsrPSqH2GfP3LPybvqbXEVqirZ/uByudDc3CxIBGpqanyGBy0WC32n2YVIRkZGxK5nqBgYGEBVVRUqKyvp++1rsceCLPz4BDE3N1dwbhvJkMhSkNDV1YWmpiY4nU7IZDJkZ2e7pTMC303sjY2NdIWmVquRlZUFs9ks6EVqa2tDVVWVG8kh+iiSFi5EKHp7e1FXV4e6ujoPV39CQgIyMjKQmZnp1VNjt9tRX1+P6upq1NTUeOg9EhMTkZ2djaysLMH0fQKn04mmpib6sjY2NrpNwjKZDGlpafQFTE5O9jtJdHR00FBdZWWlB+FSqVSUcOXm5nqEPb2B3G9y7IqKCg9iiP+vvfeOj6pM3/+vSe8d0klISICEkkJCCiAdBQVEWVB0RXRtoD/RtaC77tpWP+su1qhrRQUVRJAiTaoJqSQhCSSkkkIS0vtkMuU8vz/yPcdMMjOZJDNzzkye9+vFa9fJmXOec2bmPNe57+u+H/whGNj9syIT0D5qNFgQqAvxT5gwQWliGuvNenDUQNPEwVaADrxJDhQhY03/sL8H9nNkx6RKJAL9Qnqg2Jg8eTL8/PxGtazJSOjq6hoSgaisrFQb1bKxseGu10ABN/B+YMhJRiwWc9eYjcxV/j+/njqD+MBzGHguPj4+I66G0zdsMcrg31NVVZXGYgJbW1uVn1NgYOCQe6pQzlUdEomEe+BhxRD7WWv6nIH+OYg974HXIzAwUGV2g0Xo10TXULE0AlSVJLNhdzZ06+TkhLCwMKWnRTaSVFlZyUU9rK2tERISgkmTJg3ZJ/ukX11dreRh8vDw4FIKAycI9li9vb2c0XfwJD8wVaLuqZu96bDHHryEi7+/P/eDcnBwUOt96e7uVsrzDxZa7HkEBQUhICAAlpaWGr0K7P5YI+zgMLmFhQUCAgIQHByM4OBg+Pn5abXwJdvgsKysDOXl5SgvLx9SESUSieDt7Y2QkBCEhIQgODgYLi4uavepauJmGAa1tbWoqKhAeXk5KioqVHp9rK2tERQUxJ1HaGioVqWv6sQC6wFjj8kawFVFPpycnBAUFIQpU6YgNDQUU6ZMUWuSZxlJeb5CoUBNTQ03DvafOtP+xIkTufGw18PT01NrgTaa3j59fX2cB4f9vlVUVKC5uVntMfz9/bnxBQUFISQkROMEo+q4ujqH9vZ2pd/JQHO7OhwdHbnfYnBwMBcx9PLyGnaMuuyfNNz+2O8y+/mw/6vutzTw2AMjj+y5BgUFqSxQGes56KunEPCH6B3s0WOFryZDtZ2dnVL0deD/H/xZ6/McNKGr4460z5S2ULE0BtjoAJtKY9M8Axs3siKJFQyWlpYIDQ1FQEDAkB9qe3s7qqqqlJ70BwoBVZO0TCZDXV0dKioqlHwRrHcoICCAS2cNFhADIymV/6+KYSAODg5KEQ1NpeKsT+P69etDJhdra2tMnjyZm1CGS5FIJBKlm+HgcbE3wODgYEyZMgWTJk3SKrrA3nBZ0XL9+vUhHqCBEyCbZrKzsxtR9KK7u5s7BnscVVEjLy8vbqKdMmUK/Pz8lG4EI4k+DKzCY8WROo+Jvb290gQ/ZcoUpYjeWCNGA71W7IRdOaDYYSBsFHagKAoKCtJpf5TBDPwesN/ZiooK1NbWqn0C9/T05MbGCgtVqSd9R4zY1NLAa8v+0+S1cXd3VxIK7D9VkVw+TcVtbW1KgnWgIV6ToXiwb4/9rCZNmmRUTZK7urqGpAyHK6ZgcXR0VIqSDfSPTZw40aRSZqzXil0xZPLkyXo/JhVLo4A1EdfV1QHoF0BsDpelr68PV69e5SIVrBnO19d3iFi4efMmSktLlSrJHB0dERISwkVeBtPU1ISysjLU1dUppVAmTJjAhVDVeSE6OjpQVFSE69evD3mynzBhAveEqSklJpfLUVpairKyMpUTobe3NwIDAxEaGgpfX99hnwZaWlqQn5+P8vJy3LhxY8ik5eXlhaCgIISGhiIwMFCryBEAtLa24vLly9w4B4sHS0tL7uYaHByMwMDAYStyBiORSJCfn4/i4mLOzDuYgVGjKVOmYMqUKWPqx8MwDEpLS5GXl8dNnKrM3zY2NtyNk42MeXl56WxCJISguroaWVlZKCsr02hmtrW1VZrMBgoOfVZ01dTUICMjA6WlpdzEo27iZSNsAyMRmqKx+oQQgsrKSqSlpaGsrIwTEJpSS+zvZGAUhR2/kCZLhmFw9epVZGZmcr/NysrKYasD2cIJVgiw5zfY8iD0FFFfXx9ycnKQmZmp9EChLorJ4uzsPEQIsddgoB3AVJBKpcjJyUF6ejrKy8u5B/uamhpu3nvttdfwzDPP6H0sVCyNAnbZA6Df/+Pv7690s+/r60Nubi56e3thbm6OSZMmwc/PT+WaW0VFRSgvLwfQ/0Tn4+ODgIAApRW0B9LW1oaCggKlpwz2Bj958mSNT+QtLS3Izc1FRUUFN5mxVSysic/e3l7jk1hHRwcKCgpQWFioZKQe6CcJCAjgxq5pX3K5HEVFRcjNzUV1dbXS39zc3JRu9qyHQBshI5VKkZeXx03gA7G1tR1isB3NRM2OPTMzE3l5eUPEIhuJYJ9wBwrG0QoDViBlZGQgKytrSJsG1nzLHjc4OFgpJaQrQcIwDMrKypCRkYG0tDTuoWEg7u7u3HVmo0baesfGikKhwNWrV5GamoqLFy+ipqZmyDasT4N9MBDKhCORSJCdnc2NXdW1NTMz41LirPBkf3uGWoF9NDQ0NODixYtISUlBamqq2l5SrIdx8D8fHx+9+9P0BcMwuHbtGpKTk5GcnIyMjAy1fb/c3d1VeqlUiUJA+MJwJMhkMuTm5iI5ORm///47MjIy1K6awJrPtWk3oAuoWBoF5ubmCAkJQUdHB1xdXZVurlKpFJcvX0Zvby9sbGwQERGh8sNkFTPbE4adVNSJi76+PuTl5aGyshJAv7AaWKqt6Qbf2NiIgoIC3Lhxg3tt0qRJmDp1Kvz9/Ye9ARFCUFVVhfz8fO74QL9ImzFjBjcRajvJNDY2Ijc3FwUFBZzgEolEmDJlCsLCwhAUFKTypqDNGC9duoT8/HylyMGUKVO4cQ7Oz49EQDAMg4qKCmRmZiInJ0fJ4DthwgRERkYiNDQUwcHBOqsQGyhMsrKylJ687ezsEBkZienTpyM4OHiIaNclCoUChYWFSEtLQ0ZGhpInztLSEhEREQgPD+dE6MBIjCEiGr29vbh06RJSU1ORkZGh5D2zsLDA7NmzMWvWLKX2Cubm5oKYaGprazlxlJ2drRT9tLS0RHR0NGbNmqX0MDLwoUEI56CKvr4+ZGdncwKptLRU6e/29vaIi4tDeHg4J1wDAwMFLfhGQk1NDZKTk7nzV+UjTUhIwPTp05WqzQY+8Ar1s9UVcrkceXl5nIhMT08fEjl1d3fHvHnzMH36dC6aGBgYqJWvTpdQsTRK2KaPA5HJZLh8+TLEYjGsra3VCqWuri5kZWWhp6cHZmZmiIiIgK+vr8rjEEJQU1OD3Nxc7ibq7++PGTNmcBOyKpFCCEFdXR0KCgq46iKRSISgoCBERkYOaXugCqlUisLCQuTl5SlNPpMmTcKsWbMwdepUrb+sMpkMhYWFyM3NVRJtTk5OiIiIQExMzKhSHe3t7cjJyUF2drbSzcjd3R0xMTGIjo4e1qg8HHV1dcjNzUVWVpaSL8TJyQnR0dGIjY1FQEAARCKRTp58WVGWlZWFzMzMIQIpKioKc+fORXh4OCwtLfX2tM0K/4yMDGRmZioVG9jY2CA2NhZxcXGIjo7mZYJrbGxEeno60tLSkJubqxTdc3BwQFxcHBITExETE6OTJUh0hVQqRX5+Pi5evIjU1FRUVVUp/d3T0xMJCQlYsGABYmJiDPbkPFYIIaioqODEwaVLl5SizyKRCDNmzMC8efMwb948zJo1S+m7K6Q04WhobW1FWloakpOTkZKSMuRztbOzQ1xcHObPn49bbrkFU6dONbm02XAoFAoUFBRw1yg1NXWIFcTV1RXz5s3D/PnzsWDBAkybNk1pnqFNKY0chUKBvLw89PT0wMrKSq1Qam5uRlFREeRyOWxtbTWKBLFYjOzsbM4D4+zsjDlz5mgUOqyHJD8/n5vYzczMEBwcjOjoaK0ESUdHB/Ly8lBYWMhFaKysrBAWFoaZM2dyUR9tvrQNDQ1cFIkVe2ZmZggNDUVkZCQmT54MMzOzEfmEpFIprl69iuzsbJSXl3MpRSsrK8ycORNz5sxBSEjImG5EbW1tyM7OxqVLl5RSIWy0MDY2FqGhoTq7wbMTTWZm5hBRZmtri+joaCWBpC96eno4gZSTk6M02Tk6OiI2Nhbx8fGYNWuWwSdxNg2ZlpaG9PT0ISlWb29vJCQkICEhAbNnzzZYZ2ttuHnzJtLS0pCamopLly4ppWDMzc0xa9YsJCQkYN68eQgKCoJIJDIK8dDe3o709HRcvHgRFy9eHGJCnjhxIhITEzFv3jwkJCSMOGIsZMRiMTIzM5GSkoKLFy/iypUrSn83NzdHZGQkEhMTsWDBAkRGRqrsoWfKMAyDK1euICUlhYuyDa44dnZ2RmJiIieOwsPDBXl9hHM3ESBJSUlISkrijGT29vYqb8AKhQJXrlxBV1cXrKysEB8fPyQNQwhBWVkZiouLAfSHYBMTE1Ualdlt8/PzIZPJYGZmxqURVN1A2ad6NpzPRpIsLCwQHh6OyMhIODg4aBQkhBDcuHEDOTk5nIcK+CNCM3PmzCHvV7c/qVSKK1euIDs7WymK5ObmxkV7Bl+f4cQSIQTXr19Hdna2UpQN6E+zxcXFYfbs2VwaU1vxNfDz7OnpQXZ2NtLT01FaWqrk65o1axbi4+OVbnjD7W+4bdjPOT09HRkZGUrLdLBCOiEhARERERoFkraiQN0NqLW1lfMfFRQUKLWM8PDwQEJCAhITEzFjxgyl799IWgeMdpve3l7Ow5OWlqYkIkUiEcLDw5GYmIjExEQEBgaOuKJPF2XtqvbHRpnZ6NFgYefh4cFNEHPnzlXpNdTX2May3cDzunjxIvLz85XM/FZWVoiJieEmvpCQEJ2OT9fl6iPZjj13NmV06dKlIV7F6dOnY8GCBZg/f77KeYBFl+X5QirhZ437v//+OyeOBpv2HR0dOQG5YMECbl7T1fj09ZAkIqNZ7W6c0dnZCWdnZ8THxw/5IFgzaUdHBywtLREXFzckesPmZdkIUUhICCIjI1V+OTo7O5GZmclVRbBPZpqeyMRiMdLS0riwr6WlJWbPno3Zs2crPf2rmuTlcjmKi4uV/FNAv4cqNjaWe8pVxeD91dfX49KlS0OiSOHh4dy+1P0g1AmQ1tZWZGdnIysra0iaLTY2FrGxsSojbdqKJYZhkJ+fj/T0dBQUFChVFoaGhmLu3LmIjo7W+ol4uB8qW+GUnp6O9PR0peoXGxsbREdHIz4+HrNnz9Y6tTUaYVBXV8elsIqLi5UmvEmTJnERGk0ROn2JpcbGRi4Kk5OTo+Q/s7OzQ2xsLBITEzF37ly1nwsfYmlg9GiwMdXMzEwpejR9+nSd9GLSdmwj2d/A7dhINTvxpaenD2nGGRISwqVNVKUNdTmZG1IsMQyDoqIipKSkICUlReW5+/r6csJw3rx58PLy0uq4piKWGIZBYWGhkjga3MLCwcEBCQkJXPpRXdRXV+Pr7OzExIkT0dHRodMWJDSyNAbYH1NHRwfMzc0RGxs7RCiJxWJkZWWhq6uLy9mHh4er3dfVq1fBMAwsLCwwZ86cIfnagXR3dyMnJ4d7amWFSUxMzLATbW9vLy5fvoy8vDzupm5hYYGwsDDEx8fDw8NDq2sgk8lw5coVZGVloba2lnvdzc0N0dHRiImJGbHZWSqVoqCggCsrZrG2tkZkZOSwwms4GIZBSUkJMjIyODM+i6+vL+Li4tSKsNFACEF5eTnS09ORmZmpJPqsra0RHR2NuLi4YaNWuhgDm8Ia7KcIDQ1FXFwc4uPjDdKzZCDs55GamqoyCuPl5cWJt6ioKMFURLGVO+y4KyoqlP7u5ubGReUGP0QJMc3A0tnZibS0NM57NDA6DPR7StioWGJiotYCwRioqqriIkepqalDTNkDz33+/PmYPHnyuPIdEUJQWFjIeY5SUlKGiCN7e3vEx8dzEbaoqChBpcRHi/GfAU8QQlBcXIy2tjZOpAx+yu3u7kZqaiqkUik3KaoyG0ulUvz+++9clMHb2xtz5szRuOZXaWkpUlNTuUgIm4rS1F2aHXdRURHOnj3LPbE7ODggMjISM2bMgK2trVZeFEIICgoKcOLECa56wdzcHNOnT0d0dDQCAwNH7EViGAYZGRlK+2TPjU0FjsWoSwhBXl4eDh48qLSkhpubG2dWHtgra6yw12jv3r1KVYTsdyE+Ph4RERF6E0gseXl5+O6775SqkczMzDBz5kzEx8dj7ty5WotjXcIwDFJSUvDNN9/g+vXr3Otseo0VSAPTa0IQGRKJBD///DO+/fZbpcmUvaaJiYlISEjQ+KAjRG7evInPP/8cP/30k1I0z9LSEpGRkZwxOywsDGZmZkZ1bpoghODixYt4//33cfHiRaW/2dracqbs+fPnC9ZPo29kMhn279+P9957D0VFRUp/s7OzQ3x8PHeNBj/QmIqYpGJplNTU1KC5uRkikQhhYWEqU2+XLl2CVCqFk5OT2qoWuVyOCxcuoKWlhSsTZiurVMEwDLKysnD16lUA/U/d8+fPh6en57BjlkgkOH36NEpKSgD0+6ZiY2MxZcqUEZlJm5ubcfLkSU4AsMbzqKioUYuZ8vJy/PLLL5yZmvU3zZkzZ8zVbABQWVmJn3/+mRMMdnZ2nGCZMmWKzm+AFRUV+PHHH7nPydramqtii46O1rtAAoDi4mLs3r0b+fn5APpTk2wUazQRP11BCEFaWhp27drFRZFsbW0RGxuLhIQErUQ/H6gSSWz0KCEhQWNaUMjU1tbi888/x88//8x5cCZPnsxFjmJjY4dd0NoYIYTgt99+wwcffIDs7GwA/Q980dHRXFqRjfaOR4EE9GdGvv32W3z44YdcvzJbW9shkSOhRHv1CRVLo0Amk3Gh6eDgYJUL5ubn56O7uxvW1taIjY1Va+Rme9ZYWlpi8eLFGm+2EokE586d47xPERERiIyM1OpGduPGDZw+fRrd3d0wMzNDfHw8YmJiRnQTkMlkXO6eTRUuWLAAiYmJow6ztrW14dixY1wlia2tLVasWIGEhASdVAM1Nzfj0KFDyMrKAtD/lLxkyRKsWLECtra2Og8P37x5E/v27UNGRgaA/tTm0qVLsXbtWk6c6DskXVlZiT179iAzM5M73m233Yb169fzOpkTQpCVlYVdu3bh2rVrAPpF61133YUNGzbwJt6GQyKR4NChQ/jmm284keTj44MtW7Zg1apVRjtR1NTU4LPPPsPBgwc5U39sbCy2bduGuXPnmkxEYDAKhQLHjx/HBx98gMLCQgD9fsF7770Xjz/+uNo2LuOJ1tZWfP755/j000+57/zEiRPxxBNPYMuWLXBxcRl3ApKKpVHAGqhbWlrg7e095O9VVVWoq6uDSCRCVFSU2qU58vLyUFNTAzMzM8yfP1/jRNbd3Y0TJ06gs7OTEymBgYHDjlWhUCA9PR25ubkA+juOr1y5csQ+g5KSEpw6dYor+wwODsbtt98+6qhPX18fLly4gOTkZMjlcohEIsTHx2PFihU66YnT09ODEydO4Ny5c9z+586di9WrV+skUjWY9vZ2HDp0CBcuXIBCoYBIJEJiYiLuvvtujelUXXLjxg38+OOPSElJASEEZmZmWLx4MTZu3IgJEybwdnMjhCA7Oxu7du1SmpzWrl2LDRs2CG4pDhaJRIKDBw/iu+++4yYMb29vPPTQQ0YtkioqKvC///0PR48e5dL4CQkJePzxx0f8AGVMyGQyHDp0CB9++CFX8Wtvb48HHngAjz76qMF+p0KmtrYWH3/8Mb7++mvOzB4YGIinnnoKmzZtMpqeX/qAiqVRYm9vrzKi09bWxqVepk+frtYkXFZWxj1dx8bGYuLEiWqP1dnZyfl4HBwcsHTpUq0m/NbWVpw6dYrzQs2cORMLFy4c0U2ePTabvnJycsLy5csRGho6qgUqGYZBXl4eJ/yA/sq7devWqRSeI0UulyM5ORknT57kjOvTpk3DunXrMGnSpDHvfzC9vb04duwYTpw4wfk8IiIisGHDBr0cTxUNDQ3Yu3cvzp07x62pl5iYiHvvvVenHqyRQghBbm4uvvvuOy5yaGVlhdWrV2Pjxo16Ea26QCKR4JdfflFKt5mCSCopKcGnn36K48ePc9WP8+fPx+OPP46oqCieR6c/JBIJfvrpJ3z88cdcKsnZ2RlbtmzBww8/bJSpU11TUlKC999/H3v37uVSsTNnzsT27duxdu1akzBojxV6BUbAcGkbkUiEnJwcEELg6+uL6dOnqwxlNzc3cznyiIgITJs2Te3x2tracPz4cfT09MDFxQVr1qwZEnkZHLliJ6nff/+da365YsUKzJgxQ6vztLa25rxRp06dglQqhZmZGRITE7Fw4ULOb6ON72bgNtXV1Thw4ABXieXm5oY1a9Zg5syZWk9A6o5JCEFOTg4OHDjAiUNfX1+sX78eM2fOVJtS0Pa4gz93mUyG3377DQcPHuTM6FOmTMF9992nstpR077UMVy0paWlBT/99BNOnTrFpVHmzp2L+++/H0FBQSPeny63u3z5Mr7++mslv9Tq1atx7733qjSTG3JsAxkYRZFIJDhw4AB27dqlJJK2bNmCtWvXavVd0WW5v65Kwq9evYpPPvkEv/32G/fakiVL8MQTT2DWrFl6O64+thvJvnp6evDdd9/h008/5Qo6PDw88Oijj+KBBx6Ao6OjoHoUjXa7sYzt0qVL2LlzJ44ePcoJ6AULFmD79u1YtmyZxvPR9bnqan/6ilJTsaQjWP9Rb28vHBwcMGfOHJUffnt7O86fPw9CCIKDgzF79my1+2xubsbhw4fR29sLNzc3rF69elh/EhvpYKuLAgMDcdttt43IoNnY2IhDhw5xi9tOmjQJq1ev1spEroquri4cPXqU89BYWVlh2bJluOWWW3TylF5WVob9+/dz5+zk5IR169YhMTFR5z8chmFw8eJF7Nu3jxNlPj4+2LhxI+bMmWOQqENnZyd+/vln/Prrr0rRrD//+c9qhbehyM/Px65du7i0r6WlJe644w5s2rRJsGkOTSLpjjvugKWlpSDThMNx+fJlfPLJJzh//jyA/sloxYoVeOKJJzB9+nR+B6dH2tvbsWvXLnzxxRdcQ0QfHx88/vjjuPfee01m7bnRQgjB2bNnsXPnTvz+++/c67fffju2b9+OuLg4HkcnXKhY0hHl5eVobGyEubk54uPjVU6avb29uHjxIuRyObc0gzo13draipMnT6Kvrw8eHh5YvXr1sPni9vZ27N+/H+3t7ZyvKTIyUmvFzlYpsb4bKysrLF++fEw+htTUVBw5coRbNiM6Ohp33HHHqNaBG0xPTw92796NnJwcAP0RsWXLlmHZsmV6MQtfv34dn376KSciXV1dcdddd2HhwoUGmUwZhsHBgwexb98+rjfUtGnTsHnzZpURAkPS0NCA//znP7h06RKA/ujZypUrsWnTJp2kV/XF0aNH8cEHH6gVScbIjRs38Morr3Bl8GZmZli1ahUef/xxhISE8Dw6/cEwDD744AN88sknXLR38uTJ2LZtG+6++26DVKAKnaysLGzfvh15eXkA+n+nGzZswNNPP837g5bQoWJJBzQ3N3MN6dStv8ZWAvX29sLZ2VnjBNvX14ezZ8+ir68Pnp6euOOOO4b1B4nFYk4oOTk5Ye3atRp9UKrGd+LECS49OHXq1DGJGoVCgSNHjiAtLQ1A/+K/69at08qUrg03b95EUlISGhsbIRKJMG/ePJ2JMFWkpaXh008/hVQqhZ2dHVavXo1bb711VL6t0SCRSPDee+8hNTUVQL/B/r777hNE2e6VK1fwyiuvoK2tDebm5rjtttuwadMmQTcrlMvl+OCDD/DDDz8A+KO67fbbb+f9eo6F7OxsbNu2Da2trbCwsMDq1avx6KOPcn3PTJXu7m5s27aNSzVOnz4dTz31FO644w6jjArqg++//x5PPvkkdw978MEHsW3bNl59jcYEFUtjRCKRoKCgAEC/UVmdqbe0tJSLPC1atEjtJEsIQXJyMrq7u+Hk5KSVUJLJZDh48CAnlDZt2jSitJtCocChQ4e4SqVVq1aNqXRYIpFgz549XD+nVatWYfHixTq7WRcWFuKzzz5Db28v3N3d8dhjj+nNTM0wDA4cOIBDhw4B6E93PfHEEwYtc29qasIbb7yB69evw8LCAo888ghWrFghiNLuEydOYOfOnZDJZAgODsarr74q+NLr7u5u7NixA+np6QCARx55BFu2bDFqkQQABw8exN///nfIZDKEhYXh/fffN1iRAZ/U1NTgwQcfRFFREaytrfHWW29hw4YNJi0OR4JCocA//vEPfPDBBwD678cfffQRL41ojRkqlsYAu66YTCaDo6OjWv9Re3s7Vw00e/ZsjQ33CgoKcOPGDZiZmWkVuWAYBseOHUN9fT1sbGxw1113jUgoSaVS7N+/HxUVFTAzM8OaNWvGVBnT2tqKXbt2oaGhAZaWlrjvvvt0miI6d+4c9u3bB4ZhEBwcjMcee0yn6/8MRCKR4H//+x+XWrr99ttxzz33GPQmfO3aNfzrX/9Ce3s7nJ2dsWPHDoSFhRns+OpQKBT4/PPPsXfvXgD9VVU7duwQfGlxTU0NnnnmGVRWVsLa2hqvvfYali5dyvewxoRCocDOnTvxxRdfAABWrFiBt99+e1x4czIzM/Hwww+jpaUFEydOxJdffomoqCgqlP4fHR0d2LJlCxdxe+655/C3v/2NXp9RQMXSGCgtLeX8QbNnz1YZ7lUoFMjMzATDMPD29ta47lZdXR1njI2Li9PKEHvx4kWUlpbC3Nwca9euHdF6ZmKxGHv37kVtbS0sLS1x9913Izg4WOv3D6aqqgrffvsturu74ejoiM2bN6usyhoNCoUC+/fvR0pKCgAgPj4emzZt0ls0oKmpCe+++y5qampgYWGBhx9+GLfccotejqWOs2fP4qOPPoJcLkdgYCD+9re/jSi1qi96enrw5ptvcob9+++/H5s3bxb8DTgrKwsvvvgit9Dmzp07jd7o3NPTg+effx5nz54FADz++ON46qmnBP9Z6IK9e/fihRdegEwmw8yZM/HVV1/Bx8eH72EJhrKyMmzcuBElJSWwsbHBp59+irvuuovvYRktVCxpICkpCUlJSVzjNmtra25yrq+v50rgIyMj4ebmpnLizs/PR2dnJ2xsbBAXFwcrKyuVRsOenh78/vvvIIQgNDQUM2bMGNaQmJOTw5Vm33777cMugDpwfF1dXfjuu+/Q1NQEW1tbbNq0Cf7+/kO203Z/ly9fxvfffw+5XA5fX1889NBDcHFx0bpMXtO59vT04LPPPsO1a9cgEolw991349Zbb9WYhhpLef61a9fw7rvvoqurC87Ozti+ffuw7QA07W+k2ygUCnz77bc4ePAggH5h+Ne//lVt1MaQZfe1tbV4+eWXUVVVBSsrK+zYsQNLliwZ83FHU+o/ku3279+Pf//731AoFJgxYwb+85//YMKECTo/riFXk6+trcVjjz2GkpISWFlZ4a233sLq1avHdEyhb2dmZgaFQoF//etf+PjjjwH0p5U++OADpUiaKbQE0Pa4qrY5f/48/vznP6OtrQ0+Pj748ccfER0drbNjAvxdu+H2py97AhVLGti6dSu2bt2Kzs5OJeOwRCLB5cuXAfT7lNRV+9TX13O+nblz56rt5M0wDE6fPg2JRAJ3d3fMmzdv2LGVlpbiwoULAIBFixaNKDXT3d2NXbt2obm5GY6Ojvjzn/886ogFIQQXLlzA4cOHAQDh4eG47777dGZ8Hmjktra2xiOPPILIyEid7FsV586dw1dffQWFQoHAwEA8++yzI4rWjRWxWKxUVbZx40bcd999gogUXL58Gf/4xz/Q2dkJDw8P/Otf/xJ8BY1cLsd///tf7Nu3DwCwcuVK/O1vfzOYMV9f5OTkYNu2bWhpaYGHhwc++eQTRERE8D0svdPd3Y0nnniCSytt374df/3rXwXx+xAChBB89tlneOGFF6BQKBATE4Mffvhh1G1fKH9AxdIosLa2xvTp01FbW6tWpPT19XEG0pCQEI3h4czMTM7js3Tp0mGjInV1dTh+/DiAfg/U3LlztR77QKHk5OSEBx98cNSdlBmGwaFDh5CcnAwAmDdvHtauXauzG1dRURE+++wziMViuLm5YevWrcNGz0YLwzDYs2cPd13nzp2LRx99VK3A1Qc3b97E66+/jpqaGlhZWeHpp5/GwoULDXZ8TRw5cgTvv/8+FAoFpk2bhtdff13wN+DOzk68+OKLyMjIgEgkwtatW7F582ZBGOPHwi+//IK//e1vkMlkmD59Ov73v/8Juj2DrqipqcHmzZtx7do12NjY4N1338XatWv5HpZgkEql+Otf/4qvv/4aAHDPPffggw8+MOg9zJShYmkUiEQiBAYGIiAgQOWNlxCCzMxMSCQSODk5aXzia2ho4FJpixYtGrb0XSwW48iRI1AoFAgKCsLChQu1vvkrFAr8+OOPaGpq4jxFY1lyYqBQWr16NW655RadTUQlJSX48MMPoVAo9G7kBoBdu3bh9OnTAIC77roL69atM+ik2tbWhpdeegnNzc1wc3PDyy+/LBg/zfHjx7Fz504AwOLFi/H8888LPjIjk8nw9NNPIy8vD7a2tnjjjTcEIzzHwqlTp/DCCy8AAJYtW4Z///vfOllLUeh0dHTgT3/6E6qrq+Hp6Ymvv/5arxFmY4QVSiKRCK+//jqeeuopo38wEBJULI0BdV/EiooKrqItPj5ebaSIYRjOsBwaGjpsDyJCCM6cOQOxWAx3d3esXLlyRFGcM2fOoKamBjY2Nti8efOY0ksZGRmcUNq0aZPW+XBtaGpqwqeffgqFQoGIiAg8/PDDei3r/u2333D69GmIRCI88cQTSExM1NuxVCGTyfB///d/aG5uhq+vL9544w2Dpv40UVxcjHfffRdA/5PqX/7yF6O4AX/44YfIy8uDg4MDPv/8c4SGhvI9pDFTU1ODl156CQBw77334u9///u4SD8RQvDcc8+huroa/v7++OWXX6iRexAHDx7khNLu3bs1etcoo8P0f2kGpquri+soPXPmTI2Rm8LCQrS0tMDa2lqrVFpRURHKysq4tgIjERDl5eVcR981a9aMqcdGeXk513fotttu06lQ6u3tRVJSEnp6ehAYGIiHHnpIr0KpsLAQ3377LQDgT3/6k8GFEgB8/vnnKCwshJ2dHV5++WXBCKWOjg784x//gEwmQ0JCAh5++GGjEErnzp3Dnj17AACvvvqqSQglqVSK7du3o6urC5GRkXjppZfGhVACgO+++w6//vorLCws8L///Y8KpUFUVVXhySefBAA888wzVCjpifHxazMQDMMgNTUVcrkcEydO1Gh+FYvFnIk3JiZm2P40PT093BpP8fHxIzJkd3V14ciRIwCA2NjYMfXpaWlpwZ49e8AwDCIjI3Xao4ZhGHzxxReor6+Hi4sLHn/8cb0uUdDY2Ij33nsPCoUCCQkJvNxkTp06hRMnTkAkEuHZZ58VTDddtuKooaEBPj4+2LFjh1FMzjU1NXjttdcA9Lc0MIXUGwDs3LkTBQUFcHZ2xs6dO42+gaa2FBYW4p///CcAYMeOHTT1NgiZTIYHH3wQHR0diImJwcsvv8z3kEwWmoYbAQNbB6iiqKgIra2tsLKywi233KJWAFlaWiIrKwtSqRQTJ07EzJkzVU5EA9N3KSkp3PIncXFxSttrGhPDMDhy5Ah6e3vh7e2NlStXDmsgV/f33t5efPPNNxCLxfD399eqz9FISvgPHDiAK1euwMrKCtu2bVMZYdHVqu69vb1477330N3djaCgIDz++OMax6rL1eTZ6My1a9fw6aefAuhPZcbGxo7qmPrY7ptvvkFmZiasra3xxhtvqPSL6bIkWBf7kkgk2LFjB3p6ehAREYFt27bprMxY2+20bUUwkpLws2fPcqbdt99+e0iHdF2fg1C2E4vFePzxx9HX14clS5bg0Ucf1fkxtUUo12Qwb731FrKysuDs7Ixdu3bp5OFSqOeq7Xb6in4L/1HRSGhubuaWPYmPj9fYRbuurg7FxcUAgAULFgw7mVRXV3NLkSxbtmxET/i///471xNn48aNo34iZavFGhsb4ezsjM2bN+s06nPx4kWcPHkSAPDggw/qbA05VTAMg08++QQ3btyAq6srnnvuOYMvstnW1oa33noLcrkc8fHxWL9+vUGPr4n09HR88803AIBnn312TI1KDck777yDkpISuLq64u233zaJ6Et9fT1efPFFAMDmzZuH7WllSrz88ssoKyuDl5cX3nvvPaOIbBqS8+fPc4UXH330EQICAngekWlDv306QCaTISMjA4QQBAcHayxvZxiG648UFhY2bPm1QqHgqrQiIiJGVCJ8/fp1/P777wD6G7eNxad09OhRXLt2DZaWlnjwwQd1umBteXk55xu64447EBMTo7N9q2L//v3Izs6GpaUlnn322TFVBI4GmUyGt956C62trfD398fTTz8tmImgvr4eb7zxBgghWLNmDVasWMH3kLTiyJEjOHToEEQiEd58801BdDofK3K5HNu3b0d7eztmzJiBv/71r3wPyWAcOHAAe/fuhZmZGZKSkgTj4xMKTU1N+Mtf/gJCCB588EHceeedfA/J5BHGHdqIIYQgJycHYrEYDg4Owxq12VSdjY0N4uPjh93/pUuX0NLSAjs7O8yfP1/rcYnFYq4DdGRkJGbOnKn1eweTnZ3Nia6NGzfq1FfT3t7OVb5FR0fjjjvu0Nm+VZGVlcWZ0x9++GGEhITo9Xiq2LVrF4qKimBvb4+XX35ZMGt4KRQKvPrqq+jq6sL06dOxbds2voekFZWVlXj77bcBAI8++uiQdKax8sknnyAnJwcODg547733DB795IsbN25w7RG2b9+u1X1yvLFt2zY0NDRg+vTp+L//+z++hzMuoGJpjJSXl6O6uhpA/2Kimm5o3d3d3Npv8fHxwzYL6+npQVpaGgDglltuGVFzsbNnz6K7uxseHh649dZbtX7fYDo7O/HLL78AAJYuXap2seDRsnfvXnR3d8Pf3x9btmzRa4RFLBZj165dAPojbdp0Stc1lZWVOHr0KID+ypXB/hM+OXnyJEpKSuDo6IjXXnvNaCbnjz/+GH19fZg7dy62bNnC93B0QmtrK7cw7muvvYZJkybxPCLD8dFHH6GnpwcxMTF4+umn+R6O4MjMzMTx48dhYWGBr7/+WjAPW6YOFUtjoLm5mVv2ZNasWRpTaoQQpKenQy6Xw9vbW6uGgykpKZDJZPDy8tJ6bTKg/8mMbV9w++23j8m7cfToUfT29sLPzw/Lli0b9X5UcfnyZVy+fBlmZmbYsmWL3hsdHjhwAO3t7fD09OTFI0QIwZdffgmGYZCYmCioCIhEIuFMxGNZ/sbQXLt2DWfPnoVIJMIzzzwjmHTmWNm1axd6e3sxY8YMrFq1iu/hGIyGhgb8+OOPAPqr37Q1zI8nWJ/Sxo0bx1TZTBkZpnFn4QGJRIK0tDQQQuDn5zdsL5eqqiquUaU2XbdbWlo4w/iiRYu0dvgzDINjx44B6Pc4jeWJtLy8HDk5Odzitbq8cfX29mLv3r0A+k3r7CK++qK6upozkG/evJkX829WVhby8/NhaWmJzZs3G/z4mjhw4ABaWlrg6elpVEtIsNWEt956q9EY0Yejvb0du3fvBgCtKvpMic8++wxSqRRz5swZ0TJO44WioiIcO3YMIpEI27dv53s44woqlkYBwzBIS0vjljOJiYnReEOTSqXIyMgAAMyYMUMrQ3FqaioIIQgJCRmRRygvLw83b96EjY3NmCpnFAoFDhw4AACIi4vTef+fQ4cOob29HRMmTMDKlSt1uu/BEEKwa9cuMAyDmJgYzJo1S6/HU4VMJuMiN2vWrIGXl5fBx6COjo4O/PDDDwCALVu2GE367cqVK0hJSYG5uTn+8pe/8D0cncG255g+fToWLVrE93AMRnt7O1foQZfqUA3bTX/16tW8+C3HM7TPkgaSkpKQlJQEhUIBALCysoKVlRWkUiksLCxgaWmJhQsXcm0C1E0ymZmZ6O3thbOzM+bMmTNsVKOyshLV1dUwMzPD4sWLh+1VxEZ8pFIp17jylltuGdIbR9vIkLm5OZKTk9HQ0AB7e3usWrVK5Xu1uZmpSouUl5dzhvH77rsPNjY2eu0plJycjOLiYlhbW+PPf/6z0t90fVx11+T48eOoq6uDi4sLNm7cOKJ+TPrebs+ePejp6UFwcDCWLl2q0/5J2o5vNOfw2WefAej3nw0um+arH4+2qDtuR0cHvvvuOwD9USVd9qgS+nZff/01enp6EBYWpvZ7aCr9k7Rl4P6qqqrw008/Aej3O470WEI4B0PsT1+/aSqWNLB161Zs3boVnZ2dSqXyVlZWWLx4MTo6OoZd3LWhoYHrkTRv3rxhhQ/DMNyaa9HR0SMqa09LS0NXVxdcXFzG5Ifp6OjAiRMnAPSX8mvqGTVS5HI5du/eDUII4uPjNXY51wW9vb34/vvvAQBr164dU/uE0dLZ2cn5MO677z5BGTJv3rzJVQc+8sgjRuP5ycvLQ2pqKszNzfHQQw/xPRyd8d1336G7uxuhoaE67Y4vdMRiMWdof/LJJ2lUSQXswuKLFi1CVFQU38MZdxjHnVGAmJmZwdXVVeM2DMNwEZTQ0FCtKp+uXr3KrRc3knXKuru7ubXfli5dqnXnbFUcPnwYfX19CAgI0HnPo1OnTqGurg6Ojo64++67dbpvVRw8eJAzdfNllP3+++/R09ODyZMnC66p4FdffQWZTIaoqCi997fSJf/73/8A9It5oSwRM1a6urq4ZqBPPPGE0QhXXbBnzx60tbUhMDAQt99+O9/DERxNTU1civKZZ57heTTjk/Hza+SB3NxctLW1wdraGnFxccNuL5VKuVYBcXFxw64XN5Dk5GT09fXBx8dnRJVzg6muruZM3XfddZdOb9hdXV04fvw4AGD9+vVwcHDQ2b5V0dbWxh3vz3/+My+m7ubmZi5K9/DDDwuquufmzZtcw9NHHnnEaJ7mS0pKkJGRYXJRpV9++QWdnZ0IDg42mmaguoD1FAL9InEsD3qmyvfff4/e3l5ERUXhlltu4Xs44xIqlvREXV0dV76fkJCgVY+krKwsiMViuLi4jMiE3NnZyS3Ku2TJkjEJnN9++w1A/+K+uq5QO336NKRSKQICAgxSNn/y5EnI5XKEhITwFrY+ceIEGIbBjBkzxtQYVB8cO3YMhBBER0dj6tSpfA9Ha9g+VQsXLjSpFeh//fVXAP0l4eMpqnT16lVUVlbCxsYG69at43s4guTw4cMA+tP4xvJQY2qMn1+kARGLxThz5gwIIQgNDcWUKVOGfU9nZycnrubPnz+iCERKSgrkcjkmTZo0pvLpiooKlJaWwtzcXOdPtj09PZz5fOXKlXr/wff29nJRE313BVeHVCrlokpCSy0oFAou6mZMfXzkcjl3TfVdRWlIbty4gdzcXJiZmY2piawxworExYsX69QfaSrU19cjMzMTgPDuI+MJKpZ0DMMwOHv2LHp7e+Hq6orExESthMHFixehUCjg5+eHoKAgrY83MKo0kn5MgyGE4NSpUwD6U4C6Xi/t7NmzkEgk8PPzM0jp/vnz59HT0wMvLy9ER0fr/XiqSE5ORmdnJzw8PATXMyYzMxPNzc1wcnIakTeObzIzM9HS0gJnZ2ejGvdwsL3RYmNjjaYhqC4ghHCRQioEVMOKyZiYmBGtDUrRLTQ5PAIsLS01+l7Mzc2RnZ2Nuro6WFhYYMWKFSrTb4Nz8nV1dSguLgbQ/3TFHkOb3H16ejoUCgUCAwMRHBysUSxpilYVFxejsrISFhYWWL58uVZpAG2iX2ZmZujt7cXZs2cB9EcDVJ2XLsvQFQoFN/moa3swkv2Ndjv2Jjf4nIVQws1enxUrVgzpnM5HibG2+2LHvXz5co39oHQdudTl91MV41UwXLt2DRUVFbC2ttbpCgHG2jpCFWwKTl2EnKblDAONLOmQmpoaZGdnA+jvczRctRzQ/2R17tw5AP0NK0fyVNnR0cGtNbd48eIxRZXY1EZ8fDxcXFxGtR91nD9/HmKx2GBRnoFRE77MkCUlJSgrK4OlpSWWL1/OyxjU0drayhUSGFMqSywWc78VY0odDkdZWRmKi4thaWmp8yWFhA77QLFw4UK9F3wYI62trVwrGb7sBJR+jFIsSaVSNDc3gxCi9Xt6enrQ19entzH19PRwHpmwsLBhlz9huXbtGurr62FpaTnihV1TUlLAMAyCgoIwefLkEY+Z5erVq7hx4wbXP0qX9PX1cem9lStX6t24SgjhbsArVqzgrRs1O4Z58+Yp9egSAqdOnYJCocD06dPH9L0xNOfOnYNEIsGkSZMEZ5YfCwO/K7p+UBE6bETNlMSvLjlx4gTkcjnCwsK08r5S9IdRiSWGYfDss8/CxcUFgYGB8PPzw8GDBzW+Z8+ePYiMjIS3tzdcXFwwd+5cZGVl6XRccrmcu5F7eHho7aWQSqVcH6a5c+eO6Mmqra2NW8R3LAJnoFdp3rx5On+6S05ORnd3NyZMmGCQCrhr166hqqoKVlZWvD2ld3V1cU+DQpwEjNHYDUDJ2G1KqQf28zCmKJ8uKC0tRWlpKa+/VaHDCunVq1fzPBKKUYml//73v/j666+RmpqKzs5OvPDCC9iwYQOKiopUbs9W/OzatQsdHR1ob2/H7Nmzcdttt6G1tVUnY2IbTzY1NcHa2hrLly/Xuk9Ieno6urq64OTkNOL0VHJyMhdVGrzUw0goKipCfX09rK2tdZ6yYs3uQL/HxBA9htiKu/nz5w/bXV1fpKWlQSaTITAwUOsIo6Gorq5GVVUVLCwssHDhQr6HozW9vb1ciltoac2xUFdXh+vXr8Pc3HxcrQMHgGuiGxcXx9tvVcgQQpCSkgIAVEwKAKMSS0lJSXj44YcREREBMzMzPPXUU5g0aRK3RtRgzM3NsXv3bsyePRsikQjW1tb45z//iZaWFp1Fl7KyslBVVcWV/GqbcmlpaeGq2AaaurV9b35+PgCMecJjPSBxcXE6X4ajqKgITU1NsLW1RXx8vE73rQqxWMx9rnxOPOwkMG/ePMFFQFJTUwEAERERRuURyc7Ohkwmg4+Pz5geDoQGu8B2eHg4HB0deR6NYUlPTwcArRr2jkdKS0vR2toKGxsbRERE8D2ccY/RiKXGxkZUVVUNSXHNmzeP60GhDWVlZQCgk1Xfr169yq37Nn/+fK0b5BFCcObMGS4yNNJc9IULF0AIQUhIiFZLqKijoqIClZWVMDc3x4IFC0a9H3WwUZ7ExMQhFVf6ID09HTKZDL6+vmPqNzUWOjs7kZeXBwAj9qAZAtbYnZCQwPNIRgY7scbHxwtOgI4FViwJrbWEviGEcOdOxZJq2O98dHQ0b95Lyh/w2jqgra0NPT09Grfx9vaGubk5mpqaAGDIQqgeHh7c0/JwiMViPPXUU1i0aBFmz56tdru+vj4lM3hnZ+eQbSorKzmRNmfOnBH1RiouLkZ1dTUsLCxG7DdqbGzE1atXAeguqjRnzhydh8HZcYpEIoNFeVj/14IFC3ibUAe2chiLkNUHnZ2dKCgoAACDRPp0CSvyjG3cw8HeQ8abWLp+/ToaGxthbW2t8V48nqGRN2HBq1h6/fXXsW/fPo3bpKSkIDAwkKuiksvlSn+XyWRaeWGkUinuvvtuiMViziiqjrfeeguvvvrqkNetra1hZWWFvr4+LtUSHh6O6OhoiEQirdR/X18fF3GJj48fIv4Gouq8WEEQFhbGTcbaeqQGVqLV19fj2rVrEIlEWLx4sdLftK1Y07Qda3CeMWMGPD09h92XtuJG3TFra2tRXl4OMzMzzJ8/n7deRgNTcGNF12PLzMwEwzCYPHmyQZcJ0WZ8mrapq6tDdXU1zM3NtV7s1xj67NTU1KC2thYWFhbcPWQ0YzPG7dioUmRk5IjWwOQLPr4nA8WSLo6v63MQ+v50Da9iaefOndi5c6dW27LC4ObNm0qvNzQ0DPsEzwqlkpISnD9/ftgU3I4dO5RWdu7s7FRaJ83a2hq33norrl27pnWHbpaMjAx0d3fD1dV1xE+TdXV1nJl9rFElVnTNmjVLo2AbDRKJhIv26boVgTouXLgAoN+Lw1epvtBTcOxnYmwpODaqNHPmTJPy9bCCYdasWeNumQ+agtNMS0sLZxkZb1FHoWI0niUnJydERERwC70C/VGmM2fOKPlt2tra0NDQwP23TCbD+vXrUVhYiPPnz8PPz2/YY1lbW8PJyUnp32B8fHyGRGSGo6mpiSv3X7Zs2YhX12bTZrNmzRrTkghdXV3cOnT68CplZmait7cXEyZMQHh4uM73PxiFQsFVjfC5IndGRoZgU3AymYyboIxNLJlqOoI9r/E4GY7nc9cG9rc6depUnS89RRkdRrXcyd///nds2LABMTExiI+Px3/+8x8AwOOPP85t89xzzyE9PR1XrlwBwzDYuHEj0tPTcejQIQD9C1YCgJubm86rvzShUCjw22+/cYvrjsTjBPSPu7S0FCKRaMyCID09nVt4NzAwcEz7UgWbgrvlllsMsnr61atX0dHRwQlqvmBvcEJcs+zatWvo6emBs7Mzpk+fzvdwtIZhGK5lgKmJJfaBxRD9x4REU1MTampqIBKJeFu3UeiwldJUTAoHo4ksAcC6deuwe/dufPPNN7jzzjvR2dmJCxcuYMKECdw2bm5uXJqto6MDGRkZsLS0xN133424uDjuHyueDEV6ejqamppgY2Mzqj4xbJpp9uzZcHd3H/U4FAoFl9bQR6qouroaNTU1sLCwMNjkxoqUmJiYEUfrdIVMJuPM09r6agwJG9GMjIw0SL8rXVFVVYXOzk5YW1tj2rRpfA9HZ7S1tXEPbqbUjVwbrly5AgAIDg42qvYVhoStsp4xYwbPI6GwGFVkCQA2bNiADRs2qP37v//9b+7/u7q6cjckPqmrq+OejhcvXjziG8TAqNL8+fPHNJYrV66go6MDjo6OeqlCYQ3OhurjI5fLBfEUdvXqVUgkEri6uo44amgIWC+VsfVrYfuJhYeH8yaE9QE7GQYEBIy7hoysWDJEit5YoWJJeBhVZMkYkUqlOHXqFAghmD59OkJCQka8D7Z6bqxRJQCctycuLk7nk49UKuVKoQ2ViiosLER3dzecnJx4jTywCxpHRUUJrqpDKpVy7SYiIyN5Hs3IYKN1s2bN4nkkumU8Cwb2uzgez10burq6UFlZCYBeIyFhOo9qBsDS0lJjp21Vfzt37hwXyVm6dCksLS21ToOYmZmhpqYGZWVlMDMzw8KFC1V6gLT1Bd28eRMVFRUwMzNDQkLCmP1Eg0VBbm4uent74e7ujmnTpkEkEml9jNGWIbPibHAKztCl42zkMCYmZthzNrSYKi4uRl9fH1xcXHTa/doQ58FGlvhOVen6+8SKJb7Piw9YsTQ4ajLWFhOmAlvx7OXlNeaHY4ruoJElPVJeXs7d7G+77bZRdbEeGFUaa1UEa7yeNWuWXlY3Z1NwiYmJBjF2KxQKbnkTPlNwrGHVzMxMkGku1q/ELvtjLHR1daGiogKA6YmK8Rpd6enp4T7T8Xbu2sJ+N8LCwngeCWUgVCzpicbGRm7F6OjoaEyaNGnE+6ipqUFpaSnMzMzGXAEnFou56Ic+jN0NDQ0oKSmBSCQyWJfloqIidHd3w9HRkdcKL/a6hoaGCrIPEOtXMtYUnL+/v0mVTw80d483wVBUVARCCCZOnKhUmEP5g/EqpIUOFUt6oK2tDT///DOkUin8/f1HZcpm148DdBNVysrK4hYi1YcBma2wCw8PN9jExkaV5syZw2uFF+tXEmIZtFwu526+xrasBCuWTC2qxJp3AwMDBSmu9Ql77lQIqIdNw9HIkrCgYknHdHR0YN++fejp6YGHhwfWrFkzKiN1aWkpKioqYGFhMeZu3QqFguvePJKlQLSFEMJ5hwzVLoAQIgiRolAoOP+JEMVIRUUF+vr64OjoqJeeWvrk2rVrAExv0igtLQXQ33BwvMF2pQ4NDeV5JMKFXiNhQsWSDunq6sK+ffvQ1dUFNzc3rF+/HjY2NiPej0Kh4KJK8fHxcHV1HdO4rly5gvb2djg4OOhFWFRUVKClpcWgi2LW1NSgubkZlpaWvD6lVlZWoru7G7a2tpgyZQpv41AH+yQ/bdo0g/jIdElJSQkAmFR/JeAPsSTE74u+KS8vBzA+z10benp6UF9fD6C/DxVFONBqOB0hFotx8OBBdHR0wNnZGevXrx/1ek/Z2dlobW2Fg4PDmPsqAX+0C0hISNBYzTda2KhSRESEVosJ6wLWtBweHj4q47yuYFNF4eHhgmz2yIolY+raDQDt7e3cskWmNrGykYPRtBExdlixRIWAatiWAS4uLibl0zMFqFjSQFJSEpKSkqBQKAAA5ubmKlNqEokEhw4dQmtrK5ycnHDPPfdorDbTNKmKxWKuam3p0qVaCS5NEYOqqipuxfb58+drFV3QdtIXiURQKBScwTk2NtZgK6cP19fIUCusD/TVCGlVdxbW/xAeHq71/nQdgRpN2pdNwfn7+ys1NzWmaj5VEELGrVjq6+tDTU0NAOi9cStf35OxHlcIYlLX187Yf7MsxhWXNzBbt25FYWEhZyRWRV9fHw4cOIDm5mbY29tj48aNYyrLv3DhAiQSCTw9PXWSMmOFV2RkpF46BV+7dg1dXV1wcHAwWPSiq6uLS9HwWeGlUCg487QQmyZ2dHSgtrYWgPGlsoqLiwGYnq+nvr4ePT09sLCw0GnPK2OgsrIShBA4OjrSSjg1sG0VhLgKwHiHiqUxIJPJ8Msvv6ChoQE2NjbYuHHjmEKnTU1N3NIdy5cvH/MTfltbGxf50EU6TxVsCm7OnDkGW44iLy8PhBD4+/vDw8PDIMdURVlZGXp7e+Hg4CBI8zQbVfL39ze6JTVMVSyxUaXAwECDpayFwsCoialEG3QNe42oWBIeVCyNEplMhkOHDqGurg7W1ta46667xvS0RAjhlkWZOnUqJk+ePOYxXrx4EQzDYMqUKfDx8Rnz/gYjlUp5WTmdTcHx3TeIFaIzZsygfiUdw0YOTU0ssebu8ZaCA6gQ0AY2skQ9XcKDepZGgVwux4EDB1BXVwdLS0usXbsWEydOHNM+i4qKUF5eDnNzcyxbtmzMY+zt7UV6ejoA/UWV8vPz0dfXB3d3d4PdABmG4bqi8y2W2JYBQl3sko3OGFsKrq+vD9XV1QBMT1Rcv34dwPicDFnzsi4eBE2VqqoqAPQaCREaWRoF5ubm8Pb25iJKY43a9PX14eTJkwD6K9Z0UQWRnp6Ovr4+eHp66m2yzMjIANAfVTJUWXpZWRm6u7thb2/P60SqUCg4E7IQG+wRQow2OlNdXQ2GYeDo6MhrmlUfjGfBwArg8ebV0ha5XM55DP39/XkeDWUwNLI0CkQiEebPn4+IiAideEHOnz+Prq4uuLq66mQpErlczhm71S2+O1Z6enq4yIoh12Vjl+7gO/VVWVkJsVgMW1tbQfqVmpqa0N7eDjMzM6OLYgxM15iat4UVS0L8zugbViyNZumn8UB9fT0UCgUsLS3h5eXF93Aog6CRpVEiEol0IpQqKyu5CM1tt92mkz5I2dnZ6OrqgrOzs94Wds3NzYVCoYCfn59e/FDqYPsr8b1g7UA/kBD9SmxUKTAwkNc+VKPBVCuCuru70dzcDGD8iSWZTMZFTahYUg3bVsHX19foGsiOB2hkaQRYWlpqFDPaTprsdhKJBIcPHwbQ3y9ocLpE2x/MwO0YhsGFCxcAAAsWLFCquNFlfx+2ncLcuXM1jlOXkYGOjg5uIo2IiNC4b333Chm4xtXAvwklEsKKJX0umaDLcx24r4G+ntEeQyifw0DYqJKHh4dWa8IJsW/XaKmrqwPDMLCxsRmzv9NUGW3kTYjfdX0y3Pnq63pQ+cojx48fR3t7O1xdXXHrrbfqZJ+FhYVoamqCjY2N3tZpa21tRWlpKUQikUFTcGz1WWBg4JiXgBkLhBDBrwxuCLGkL0w1skRTcICfnx+Nmqjhxo0bAPqvEUV40G8tTxQVFeHy5csQiUS48847dZYqOXfuHIB+o/ho1qXTBrYXVEhIiEFb8rNVcHwvWFtfX4/29nZYWFgIslrLmM3dhuzybGioWKLmbk2w33tq7hYmVCzxQGtrKw4dOgSgX9To6gZSUVGByspKmJub68Qorg62EaUho0oMw3CRJaH4lUJDQwXZWLC5uRltbW1Gae425Uo4tix8PAoGVixRIaAeKpaEDRVLBkYmk2Hv3r3o7e2Fr68vFi9erLN9nzlzBgAQExMDZ2dnne13IDdu3EBtbS0sLCwwZ84cvRxDFRUVFeju7oatrS3v0Ry2M7ZQmz2yXaIDAgKMztw9sLTe1LwY41kwsOZummJST11dHYB+gzdFeFCxZEAIITh+/Dhu3rwJe3t7bNiwQWdLhNTU1ODatWswMzPTqQAbDNvoctasWVot8qsr2BTczJkzDbasijqEvhQHW3o/ZcoUnkcyckw5VcV6UsZjNRgrlqgQUA8rlgxZXUzRHiqWDEh2djYKCgogEomwfv16nUZ/Tp8+DaC/qs7d3V1n+x2IQqHgquAMubwJAMGk4Hp6ergIgVA7Y7NLahizWDK1VFV3dzdaWloAjO/IEhVLqhGLxWhvbwcAeHt78zsYikpo6wANJCUlISkpCQqFAsDwrQM0RTxqamrw22+/AehfJFcbL4m2rQhu3ryJK1euQCQSYenSpWqrTcZaOlxcXIzOzk44ODhgxowZWu1P22NqqpDp6urioiXDtQwYKSPdV0lJCQgh8PT0VFmRp8trMtrt2DTclClTjC6VZeyRJXXXmxULLi4ucHJyMrrPRRXanoNCoUB9fT0A4Yklvj6Hwcdlr4+9vT1cXFxM4vthatDIkga2bt2KwsJCLpoyWrq7u/HTTz+BYRiEhYUhMTFRRyPsh40qzZ49G56enjrd90DYFFxMTIxBU2FXrlwBIQR+fn56i5ppC7vEiVCjSj09PVw439jM3YQQzgRtrGJJHePZvNvQ0ACFQgELCwvaY0kNrFjy9vamQkmgULGkZxQKBfbv34+uri54eHhg9erVOv0xNDU1cV2tly5dqrP9Dqa3t5c7jiGr4IA/ljjhu2UAIPzFadkeRR4eHnBxceF3MCOksbERvb29MDc3F1wEYqyM56U+WK+Wt7e3ILvdCwHqVxI+VCzpmVOnTqGqqgpWVlbYsGGDzquTzp49C0IIwsPD9TrB5OTkQCaTwcvLy6B+EoZhBNNfiWEYwYslUzB3+/n56WTZHyExniNL1K80PFQsCR/qWdIThBCkpqZyPYnWrl2r874x9fX1yMnJAdDvg9InaWlpAIC4uDiDhomrqqrQ0dEBGxsb3rtR19XVobu7G1ZWVoJNE7GRJWNc1d6U+xCxYmk8ls6zKSYqBNRz8+ZNANTcLWSoWNIDDMPg5MmTnFBavHixXnryHDt2DIQQREZG6jW839jYiLKyMoMvbwL8sXBueHg479EG1q8UEhLCe/sCdbBiyRgjS6YslsZznyEqloaHFUteXl48j4SiDmHe8Y0YmUyGn3/+mUvXLFu2DPHx8To/TmlpKYqLi2Fubo6VK1fqfP8DYaNKYWFhBl+TTUh+JaGbuxmGMep11UzV18MwDBVLoFETTVCxJHyoWNIhPT09+OGHH1BbWwtzc3PceeedellolWEYHDt2DEB/Wkyfy0IwDMNVwelD9Gmiu7ubK4MXglgSejPKhoYGiMViWFhYGKU3xlQr4ZqamiCVSmFmZjYuJ0MqloaHFUv6rGamjA0qlkaAubm52mqO5uZm/PDDD2hra4OdnR3uuecetekEbVM46noPXb58GbW1tbC2tsayZcu0XsVb2+0GepKKi4u5cxrc40jfPYUKCgq4lgETJkzQaj8jPa62iMViLvIhVLHERpUCAgJUfsd03d9JW7TZn1Qq5SZVTZElofTFGQlsVMnb25v3VDIfDEzD0bL4oRBCaGTJCKBiSQdUVVVh37596O3thaurK+6//369RXvkcjmOHz8OoN8L5eDgoJfjsKSmpgLo761k6Bs961fiu2s30J/2ZBgGEydOhJubG9/DUQlbCWds/ZWA/vJyhmFgb2/Pey8tXcOWzo/HajCZTIaGhgYA1LOkjq6uLojFYgBULAkZKpbGSEFBAQ4fPgyFQgE/Pz9s2rRJr2umpaamoq2tDU5OTpg/f77ejgP0R1NYwZKQkKDXYw1GSC0DAOH7lQAYtV+JTcFNmjTJ5KIPrFgaj36lxsZGEEJgaWlpciJYV7BRJUdHR4Out0kZGVQsjRKGYXDmzBnO/Dxt2jTcfffdsLKy0tsxe3p6uCVTVqxYoddjAUBmZiZkMhl8fHwMXqF0/fp1dHZ2wtbWVhBpL1YsCWEs6jBmsWSq5m5gfPcZYlNwnp6eWtsAxhuNjY0AqF9J6FCxNAoYhsEPP/zApT0SExOxaNEivYuXEydOoLe3Fz4+PoiJidHrsQghSElJAQDMmzfP4E/7bERrxowZvJfpE0IE34yyr6+Pi2AYYxqOtg0wTWj/oOFh05RULAkbKpZGAVvVUlVVhTVr1uil4m0w1dXVXFXamjVr9P6UVlVVhZqaGlhYWCAuLk6vx1JFbm4uACAyMtLgxx5MXV0durq6YGVlJdhmj5WVlWAYBk5OToL1VGnClDtcj+fIEjUuDw8bWaLr5gkbKpZGyaJFixAREWGQPDy7vhwhBFFRUQaJHFy8eBEAEBUVZfA8ekdHB5dSEpJfacqUKYKtZmKvV3BwsFF6fkw1ssQwDJeKomKJogoaWTIOqFjSQFJSEpKSkqBQKAD0tw4YmBIa/OXWdpHIkZb6nz9/HnV1dbCzs8PatWuHvF/byVHb40qlUq77+Pz589W+T5etAwbCGrsDAwOHNMHUdfm7NtuVlJQAgFZd2PXdTkEdfPiVdCXKenp60NLSAqBfLBlS7Ok7QtvU1ASZTAYLC4txGTkYSRpOyCJfn2Mz1siSkD8vfUAddxrYunUrCgsLkZWVxdsYWlpacPLkSQDA6tWr9d4qAAAuXboEiUSCiRMn8mJoFlLLAICau/UNm4JzdXWFo6Mjz6PRLayPzNPTk3fvHR/QyNLwsGJppL3kKIaFiiUBQwjB/v37IZPJEBwcrHdTN0tycjIAfozdCoWCiywJQSz19PRwlVpCNXcDymk4Y4O9vqaWggPGt18J+KMajool9dBqOOOAiiUBk5WVxa3/tn79eoMIlxs3bqCiogLm5uZITEzU+/EGU1paip6eHtjb2wtiMdiSkhIQQuDp6WnwdfG0pbW1FW1tbRCJREYpOFixZIrm7rq6OgDjUyzRztTaYaxpuPEGFUsCpbm5GQcPHgQA3HrrrQb7IZ0/fx5Af1THycnJIMccCFsFN3v2bEH0ZSkqKgKgnV+JL9iokp+fH2xtbXkezcgZD5Gl8dg2oKOjAxKJBAAVS+oghKCpqQkAFUtCh//ZiDIEhUKBH3/8EX19fQgKCsKiRYsMctzu7m7O2L1kyRKDHHMwOTk5APqr8IQAK5bCwsJ4Hol62H5fxuhXAsaHWBqPS32wVV4uLi5GKeINQUdHB6RSKQDqWRI6VCwJkDNnzqCmpgY2NjbYtGmTwSIsqampkMlk8Pf35yUF1tDQgNraWpiZmWHWrFkGP/5gFArFiCrh+MKY/UqEENq920ShJfHDw6bgnJycYGNjw/NoKJoYf+UZY8Dc3FxjewBtWwdo2u769es4e/YsAOBPf/qTVn2cdFGKzjAMLly4AKA/qqSNQNOlh0okEnEpuGnTpqmtitK1b0vT/qqqqiCRSGBnZ4fAwEBBpAVVMXABXWMr5+3o6EBXVxcA00tVMQzDeZbGY2SJmruHx5CVcEK/Nwh9fMK8+49TJBIJvv/+exBCEB0dbdBUVH5+PlpbW2Fvb4/Y2FiDHXcgQk3BTZ06VbBCSS6Xcw0djTGyxI7dy8vL5FI1LS0tkEqlXMf/8QYbWRqP564tzc3NAGgKzhgQ5gwwTjl48CDa2trg6uqKO++806DHPnfuHID+dgH6XuNOFWKxmBMnQhNLQk7B1dTUQCaTwc7OzignpfGQgvP09BRs53d9QtNww0Mr4YwHKpYEQm5uLrKzsyESiXDvvfcaNH9dW1uL4uJiiEQi3HLLLQY77kDy8/OhUCjg7e0tmEU3jUEsGfsyJ2xDSlM0d4/ntgEAXURXG2glnPFAxZIAaGxsxP79+wH0+4UMvVjr6dOnAfS3C+BrEdZLly4BEE5UqbGxEc3NzTA3Nxd0525TqYQzxR5LbPfu8ehXAmhkSRto927jgYolnunu7sbXX3/NtQlYtmyZQY/f1tbGtQtYvny5QY/NIpfLOXO3obqUD8fVq1cB9EdshFylwoolITTwHA2sZykwMJDfgeiB8WzuBmhkSRtoZMl4oGKJRyQSCb744gs0NTXBxcUF9913n9YVdbri7NmzUCgUCAkJMXhEi6WwsBBisRjOzs4ICQnhZQyDYcWSkPsrAUBZWRkA4xRLDMNwaThT9CyN5zScQqGgy3hoASuWaGRJ+FCxxBNyuRy7du3CjRs3YG9vj0ceecTgHbN7e3u5deAMHdEaSHZ2NgBgzpw5gqk6KywsBCBssTRwmRO+hO5YaGxsRF9fHywsLEwy+jKeI0stLS1QKBQwMzOjQkADrFjy8PDgeSSU4aB9ljSQlJSEpKQkKBQKALrrswQAe/bsQVlZGaytrfHII4+orGTSVjhou91gA3BycjIkEgm8vb0xc+ZM7u+66NukLQzDcGIpJiZm2H0aYmwdHR2c30TIYolNwfn7++u07N5QvaxYv5Kfnx8sLHR7K+Lb7E4Iod270R8x0eVny/fnqmuGiyyZ2vkaM8J4jBcoW7duRWFhIbKysnS2T0IIfvrpJxQUFMDc3Bxbtmzhxdwqk8m45pfLly/nLa6PBkcAACRjSURBVKJTXl6Ojo4O2NraYsaMGbyMYTBsVGnSpEm8rI+nLQObURojptw2oKOjA2KxGMD4FEusX4mm4NQjkUjQ2dkJgHqWjAEqlgwIIQTHjx9HRkYGRCIR7r//ft48OhkZGWhvb4eLiwtvTSiBP6rgIiMjdR5dGC3GkIID/vArGbtYMuW2Ae7u7oIuENAXVCwND9uQ0tLSEs7OzjyPhjIcVCwZCEIITp48yTV/XL9+PW/rnykUChw/fhwAsHTpUt5ECiGEE0t8CrbBsObu8PBwnkeiGVOphDPFyNJ49isBtG2ANgxsG0DTbcJHGI/yJg4hBCdOnODSXmvWrEFcXBxv40lLS0NzczMcHR2xYMEC3sZRWVmJxsZGWFlZISIigrdxDKSnp4dr9CiUtKAqJBIJV0kmlArCkcKKJVOMLI33HktsZMkYu8obCto2wLigYknPsKk3NqK0Zs0a3rpkA/1VeMeOHQMArFixAtbW1ryNJSMjA0B/M0yhpCqKiorAMAy8vb21WsSYLyoqKsAwDFxdXQU9TnVIJBIu+mKKYmk8tw0A/ogs0R5L6qFtA4wLKpb0CCEEv/76Ky5cuAAAWLt2LRITE3kdU1paGlpaWuDk5MSraCOEcGJp7ty5vI1jMAUFBQCEHVUClPsrGWMI/8aNGyCEwNHRkbeu8fqErYQbr2Kpvr4eAE3DaYJNw9G2AcYBFUsjYLjWAQMryiQSCQ4ePMh5cu68807MmzdvyHaa0HYS1HZ/DMNwUaVbb71VbTRHl+X56sZWUVGB5uZmWFtbIzIy0mDl6sNtx/qVBrZSGMv+dDm2gbBiKSQkxCjFUmVlJYD+qNJIxm8s5zpcZMlQ35PRbKcLaBpueGgazrigYkkPVFRU4IcffkBraytEIhHWrVuHhIQEvoeFixcvorW1Fc7OzrxGlQAgPT0dQH8VHJ+pwIGIxWJOhBhTZMkYMWW/EjC+Dd59fX1oa2sDQCNLmmCr4WgazjgwSrHU0tKCpqYmBAYGjsjr0tPTg9LSUkyYMEEv4XG5XI4TJ07g/PnzIITAzc0N99xzjyAWOZXJZEpRJSsrK97GMjAFx6fRfTCsX8nT01PQNzCFQsGZ0ENDQ3kezegYGFkyNbq7u9He3g5gfKbhWL+StbU1XF1deR6NcKGL6BoXRtU6QCaT4YEHHoCPjw+WLVuGiRMn4quvvtL6/Q888ACioqLwzjvv6HxsN27cwLvvvotz586BEILY2Fg8++yzghBKgHJUic8KOKC/5J1Nwc2ePZvXsQzkypUrAIQfVaquroZUKoWdnZ3RGmhNObLERpWcnZ3h4ODA82gMz8AeS8aSNuUDavA2LowqsvTmm2/i1KlTKC4uRmBgIL7//nvcf//9iIyMRGRkpMb3fvLJJ2hpadH5RCiXy3HmzBmcPXsWDMPAwcEBd999N2bOnKnT44yF3t5e/PrrrwCAVatW8RpVAvpN5gAQHR3N+1gGYizm7uLiYgD9KTihrKU3EgghnFgKDAzkdzB6gDV3+/n58TwSfmDN3dSvpBk2skQ9S8aBUd1pP//8czz88MPcDfbee+/F1KlT8cUXX2h8X0FBAV5//XV8++23Op1camtr8cEHH+D06dNgGAazZ8/Gc889JyihBAAnT55Ed3c3vLy8MH/+fF7HwjAMJ5aE4ONiEYvFKC0tBQDemoVqS0lJCQDjTcE1Nzejp6cH5ubmvCz1o2/YHkvjMQUHUHO3NjAMw3mWqFgyDowmslRfX4+6urohnZ7j4uKQk5Oj9n1isRgbN27Eu+++q7MbMyEEp0+f5kSSnZ0d1q1bN2x0iw9aW1tx5swZAMBdd93F+5IihYWF6OjogIODg6BEZWFhIedXEvrNixV1xiqWWL+Sr6+voCKLumK8tw2gYml4WltbuQXaaesA44DXmbO6uhqtra0atwkLC4OVlRVaWloAYEgDPnd3d06hq+Kpp57CnDlzsGHDBq3H1dfXh76+Pu6/2cUOWUQiEVpbW8EwDGbMmIF169bB0dFR6/0bkkOHDkEulyM0NFQQ/qCLFy8C6Be5fAu3geTn5wMQflRJoVBwlXDGKpauX78OwDT9SgAVS1QsDQ/rV3J1dYWlpSXPo6FoA6+z1RdffIHDhw9r3ObIkSPw9/fnvlADRQz73+q+bMePH8f+/ftx+PBhXL58GUC/f6epqQmXL19Wu8TGW2+9hVdffXXI6wP7LN15550ICwvD7NmzOROjtik+Q21XWVmJzMxMAMDdd9+t8/5OI+0VI5VKkZWVBaA/BaevPkajgfUrCSnapYqamhpIJBLY2NiM2BOja3/TaD8LNrI0efLkMe/LUIzk+8mm4fz9/QV/XqoY65iFIJb4uu7aHpeau40PXsXSa6+9htdee02rbX19fSESiTjzIEtdXZ3a9FpnZycCAwPx1FNPca+x0ayrV68iOztbZZPJHTt24JlnnlHaz+Bj2NraCmY9M1UQQvDzzz8D6O+QLYSn+JycHPT29sLDw0NQUZHu7m6uFF/okSXWrxQSEqKxQaqQYcWSKZq7ARpZYsWSsVZqGgJq7jY+jMbg7eDggNjYWK5XENDfJfvMmTNYsmQJ91pNTQ1XLbRhwwZcvnxZ6d/UqVOxadMmXL58We1kY21tDScnJ6V/xkZeXh5KSkpgaWmJtWvX8j0cAH+k4BISEgRVxXX16lUwDAMfHx/Br7M2UCwZK6Yslrq6utDR0QFgfIolQgjXZ4mm4dRDu3cbH8IxjWjBa6+9hlWrVmH69OmIj4/He++9B0dHRzz66KPcNq+++irS09O5njnjEZlMhv379wMAlixZIoi1tzo7O7lUKLvsi1Bg/UpCT8EBf7QNEFJkbiR0d3dzT9WmKJbYFJyrqyvs7e15Ho3haWtr46wStHu3emhDSuNDOI/3WrB8+XIcO3YMGRkZ2LFjByZOnIiUlBQ4Oztz20yaNAnTpk1Tu4+pU6ea/BPf6dOn0dTUBGdnZ9x22218DwdAf1RJoVAgKChIcP1ncnNzAUCQ1YwDGWju1vQdFzJsVMnd3d0oI7bDwYoloX3HDQXbkNPd3V0wyxgJEZqGMz6MKrIEAMuWLcOyZcvU/v2VV17R+P69e/fqekiCorm5GcePHwcArFu3bkTLweiT33//HQB47x4+mJaWFtTU1EAkEgk+slRVVQWJRAI7Ozuj7U/EVsIJpbO9rhnvYon6lbSDRpaMD6OKLFE0QwjBnj170NfXhylTpmDu3Ll8DwlAfzShqqoKFhYWgmpECfR7uwAgODhY8JGOa9euAehPwQnJ8zUSWCO9KabggH7PJDB+xRJbgEPFkmaoZ8n4MLrIEp+YmZlpnKR0XZo/0v2lpaWhsLAQlpaWeOCBB4a8X9fH1XZsbFQpOjpabT8qXbcO0HY7NgU3XGWjvtopjGQ71tw9bdo0vZZG63PfqtoG8Imuz3Vg2wBTR9W1YyNLPj4+Rtk2wVDQNJzxYZyPp5QhdHR0YN++fQCAO+64QzDmSrlczlXB3XLLLTyPRhlCCBdZEnIbCBY2sjR16lSeRzJ6hCaWdM14EkuqoOvCDQ8hhIolI4SKJRPh+++/h1gsxqRJkzR6ugxNbm4uurq64OLiIrgeRtXV1Whra4OVlRWmT5/O93A0IpVKUV5eDsB4zd19fX1cDyJTFEuEELqILk3DDUtnZydXMUjFkvFAxZIJkJGRgdzcXJiZmeGBBx4QVLPC8+fPAwDmz58vqHEB4FoZsEvqCJmKigrI5XI4OTkZ7VN7TU0NGIaBg4OD4PtZjYaWlhb09vbCzMxs3IoFIXTvFjpsVMnR0RG2trY8j4aiLVQsGTktLS3Ys2cPAGDlypWCCv+3tLRwnqCFCxfyOxgVsAswR0dH8zyS4WH7K02dOtVovSCsuTsoKMhoz0ETrLnb29tb8OJbX7CtA3x8fHgeiXChKTjjhIolI4ZhGOzatQsSiQRBQUFYtWoV30NS4vz58yCEICwsTHA3z76+Ply9ehUAEBUVxfNohqeoqAgABJ8u1ISptw1gxZKQHlgMSVdXF7q7uwFQsaQJKpaMEyqWjJhTp06hrKwM1tbW2LJli6DSXAqFAhcuXAAALF26lOfRDOXKlSuQyWTw8PAwismNNXcbq18J+COyZIp+JYC2DWCjSi4uLrCzs+N5NMKFXQ5GKEU4FO2grQM0kJSUhKSkJCgUCgD9pbKayuq1TS1oK2o0HauqqgpHjhwBANxzzz1aeQQM2dogJycHbW1tcHJyQmxsrM7SLroq4WdTcHPmzNHq8+AzbdTT04OqqioAqsWS0FNa7PgGRpaEPubRUF1dDaB/FYHxiDpzt5A/az7GpuvIkq7PQcifF5/QyJIGtm7disLCQmRlZfE9FCWkUim+/PJLMAyDqKgoJCYm8j2kIZw5cwZAf7sACwvhaXJj8iuVlJSAEAJPT09BrPM3GmQyGSf4TDUNN97bBrCVgDQFpxlWLNHIknFBxZIR8tNPP6GhoQEuLi647777BPck0NTUhIKCAgD9C/kKjfr6etTV1cHc3Nwo+iuxfiVjTsHV1NRAoVDA3t7eZCeJ8e5Zom0DtIMudWKcULFkZOTl5XEdsTdv3izIlc3PnTsHQghmzJghyBJitkJv+vTpRuGtYP1KxmzuHuhXEpq41wUSiYSbBGkajoolTVDPknFCxZIR0dLSgl27dgHoX1BYiJOnVCrF2bNnAQgzqgSAS6saQxUcABQWFgIw7sgS21DTVFNwbFTJ0dERzs7OPI+GH2jbAO2g1XDGCRVLRoJUKsVnn30GsViMwMBArF27lu8hqSQtLQ1dXV1wd3cXpB9IIpEgPz8fABAbG8vzaIansbERzc3NMDMzM+plTlixNGXKFJ5Hoh9Yc3dAQIBJRs60gXqWhodhGE4sCTHqTlEPFUtGAMMw+PLLL1FZWQk7Ozv85S9/EaRpmhCCU6dOAeiPfAmplQFLXl4eZDIZPD09jcJbwkaVgoODjbrbb1lZGYD+8zBFxnslHCGEiyz5+vryPBrh0tbWBplMBoB6lowNKpYEDiEEe/fuxeXLl2FhYYGtW7fCw8OD72GppKSkBJWVlbCyssKiRYv4Ho5K2BRcTEyMUUQAWLEUHh7O80hGT19fH5emomLJNGlvb4dYLAZAPUuaYKNKrq6usLa25nk0lJEgvPCEgBGJRBonWF30Txp8vN9++w3nz5+HSCTCQw89hJCQEJXbabs/fW538uRJAEBiYiIcHR31csyxwDAMLl26BKBfLOkDbc5jJOfKdhkPCwsb9ZhGc1xd7q+yshIMw8DZ2XnMQl+oAndgGm48wkaV3N3dRx0BFepnq0sGrp03Hs4XMJ3PlUaWBExmZib2798PALj77rsF6QFiaWlp4aI2K1as4Hk0qqmoqEBraytsbW0xY8YMvoczLFKpFCUlJQB0I5b4gvUrBQcHm8yNczDjPbJEzd3aQSvhjBcqlgRKcXExV/m2ZMkSLFu2jN8BDcOpU6fAMAzCwsIEO2GwYi4iIgKWlpY8j2Z4ysvLIZPJ4OzsbNQ+EFP3K8lkMk4sCPW7r2+oWNIO2pDSeKFiSYBcv34dH3/8MeRyOaKiorB+/Xq+h6QRsVjMdey+9dZbeR6NejIzMwHoLwWna65cuQKgv7+SMUdkWLFkqm0DamtroVAoYGNjM27LwVmxRP1KmmHTcFQsGR9ULAmM2tpafPjhh+jr68O0adPw0EMPae1x4oszZ85ALBbDx8dHsL2LmpqaUF5eDjMzM6MTSzNnzuR5JGODFUuq/HamwMAUnDGL2rHAtg0w5gioIRjoWaIYF8KehccZDQ0NeP/99yEWizF58mQ88cQTgk8XyWQyHD9+HABw++23C1bYZWRkAOhv7GgMTQMJIZxYMgZ/lTo6Ojo4n4ap9liqrKwEMH7N3QBo2wAtYX8LVCwZH8Kc2cYhra2teO+999DZ2Qk/Pz9s27YNNjY2fA9rWFJSUtDe3g43NzfMmzeP7+GoJT09HQAQFxfH80i0o76+Hi0tLbCwsDDqzt1sVMnb25urkDQ12AWCx7NYopEl7aAGb+OFtg7QQFJSEpKSkqBQKAD0twbQ1B5A26jK4O06Ojrw3nvvoa2tDZ6ennj66afh6Og4ohYDutxOWwghOHLkCABg1apVKqNgQmhr0NXVxUVp4uLilP7G1/iGgx1vaGiowUWzLr8nbCXccCk4Y05fDRRLuvyeGMs1USgU3LpwVCxphool44VGljSwdetWFBYWclVU+qC+vh7vvPMOGhsb4e7uju3bt8PJyUlvx9MlWVlZuHnzJuzt7bF48WK+h6OWrKwsMAyDgIAAozGgsv2VjN2vVFpaCsB0/UoAjSw1NjZCLpfD3NycigAN9Pb2oqOjAwBNwxkjNLLEI/n5+fjiiy8gkUg4oeTm5sb3sLSCEILDhw8D6O+rJOSUobGl4ACgoKAAgHH7lYA/0nCm6leSSqVcCmq8iiXWr+Tl5SXIJY6EAmvutrGxMQrfJEUZKpZ4pLm5GRKJBCEhIXjssceMytPBCrza2lrBNqFkcXJygr29vdGIJYVCAR8fH7S2thq9WPL29kZzc7PJRpa6u7sRHR2NxsbGcds2gBCC6OjocXv+2iKXyxEbGwtLS0ujSbFS/kBECCF8D0LodHZ2wtnZGf/97381tvIfqWeJEILMzExER0erXBh3tB4odeh6ORYLCwt0dnZqTBtqe0x9byeTyWBhYTHkJsXH+EbyuWpzU9X156/r74k22+ljqSBt0PVxdbk/XZ+rru8nfGzH17kK+bh8nQNf+xtuO3a+7ujo0KmlhUaWeEQkEmHu3Ll8D2NMGIu/SugtGFRBnz4pFApFGFCxpAVs8E0ikWjcTshPZAA/T9FCiSyNdTtdXhMhf14j2R+NLOl3O6FHPYQcWRJ6FIVGlka/P20iS8Af87auoGk4Lbhx4wb8/f35HgaFQqFQKBQtKC8v1+kSS1QsaQHDMAgNDUV2dvaYUiMxMTFjbkMghH10dnbC398fNTU1Y0rDCeFchLIPek11vw9TuqZCGIMpXU+h7INeU93vo6OjA5MmTUJbWxtcXFzGNJaB0DScFpiZmcHKymrM5Z7m5uZj9vgIZR9Av19pLPsRyrkIZR8Avaa63gdgGtdUCGNgMYXrKaR9APSa6nofgPbpP633p9O9mTBbt26l+9AxQjkXoexDFwjlXISyD10ghHMRwhh0hVDORSj70AVCOReh7EMf0DQcZcToqzRzPEOvqe6h11S30Oupe+g11T36uqY0skQZMdbW1vjHP/4Ba2trvodiMtBrqnvoNdUt9HrqHnpNdY++rimNLFEoFAqFQqFogEaWKBQKhUKhUDRAxRKFQqFQKBSKBqhYolAoFAqFQtEA7bNEGQIhBIWFhZDL5ZgxY8awS0JkZWWhr69P6TV/f38EBAToc5hGR0FBAXp7exEbG6vV9gzD4OrVqwCA8PBwnfcNMQXy8vIgk8kwZ86cYbdNTU0FwzBKr02ePBm+vr76Gp7R0dnZifLycvj6+mLixIlavUcul+Pq1auwsLBAWFgYXdNwEO3t7bh+/Tr8/PwwYcIEjdsSQnDx4sUhr4eEhMDT01NfQzQ6xGIxiouL4ebmpvU8I5VKcfXqVdja2mLatGkjPyihUAZQVFREQkNDiaenJ/Hz8yN+fn4kIyND43t8fX1JSEgISUxM5P598sknBhqx8Pniiy/I7NmziaurK/H09NTqPZcvXyaTJ08m3t7exMfHh0yePJlcvnxZzyM1Hj755BMSHh5OXF1dSUBAgFbvsba2JmFhYUrf0x9++EG/AzUSSktLyZ133klcXFxIZGQkcXBwICtXriQtLS0a35eamkp8fX2Jv78/mThxIpk2bRopLi420KiFzbVr18gdd9xBXF1dSUREBHFwcCCrV68m7e3tat/T29tLAJCZM2cqfU+PHDliwJELl46ODvLYY48RNzc3EhUVRdzd3cnMmTNJXl6exvedPn2aTJgwgUyePJm4u7uT2bNnk+rq6hEdm4olCgfDMGTWrFlk7dq1RKFQEEIIeeihh4i/vz+RSCRq3+fr60u+/vprA43S+HjhhRdIbm4ueeedd7QSSzKZjISEhJBNmzYRhmEIwzBk48aNJCQkhMjlcgOMWPg8++yzJD8/n7z++usjEkt00lHNiRMnyIEDBwjDMIQQQpqbm0lYWBi555571L5HLBYTHx8f8sQTTxBCCJHL5WTlypUkKirKIGMWOkeOHCGHDx/m/ruhoYGEhISQBx98UO17WLGUnJxsiCEaHaWlpeS7777j7oN9fX1k1apVJDo6Wu172traiKurK3nppZe498yfP58sWrRoRMemYonCkZmZSQCQS5cuca9VVlYSABonGV9fX/LOO++QrKwscvPmTUMM1SjRViydPXuWACDXrl3jXrty5QoBQM6dO6fHERofIxVLn3/+OcnKyiJNTU36HZgJ8M9//pP4+/ur/fuBAweISCQidXV13GspKSkEAMnNzTXACI2PF198kYSEhKj9OyuWfvzxR3Lp0iXS2tpqwNEZJ//617+Il5eX2r9/9dVXxMrKinR0dHCvHT16lAAg169f1/o41ARB4cjNzYWZmRkiIyO51wICAjBx4kTk5uZqfO9rr72Ghx9+GEFBQVi4cCGuX7+u7+GaLLm5ubC3t8fUqVO518LDw2FnZzfs50DRzPPPP4+HHnoI/v7+WLVqFW7evMn3kARLVlYWpkyZovbvubm58PHxgbe3N/ca68ej31PVXLp0SeM1Zdm2bRsefPBBeHl5Yf369WhtbTXA6IyHgoICXLhwAZ9//jk+/PBDvPbaa2q3zc3NRUhIiFI379F8T6lYonC0trbCxcVliJHY3d1d44/1tddeQ2trKy5fvoyqqirIZDJs2LBhiJmWoh2tra1wd3cf8vpwnwNFMx999BGam5uRl5eHsrIy1NTU4IEHHuB7WIJk9+7dOH78OF5++WW126j6nlpaWsLR0ZF+T1XwxRdf4Ny5c3jppZfUbmNmZoavv/4ajY2NyM/Px7Vr15Cbm4vHH3/cgCMVPp999hmef/55vPDCC5gxYwaWL1+udltV31M3Nzfub9pCxRKFw9LSEhKJZMjrvb29sLKyUvu+LVu2wMKiv7DSw8MDb775JrKyslBeXq63sZoyo/0cKJp5+OGHuQcBX19fvPLKKzh16hSd2Adx/PhxPPTQQ3jvvfewZMkStdup+55KJBL6PR3EL7/8gieeeAIff/wx5s2bp3Y7KysrbN68masonDx5Ml588UUcOHAAUqnUUMMVPB9++CEyMjJQV1cHNzc3LF26FHK5XOW2qr6n7H+P5HtKxRKFIyAgAGKxGO3t7dxrcrkcjY2NmDRpktb7YUtca2trdT3EcUFAQABaWlqUfuC9vb1oa2sb0edA0Qz7Pa2rq+N5JMLhxIkTWLduHd5++208+eSTGrcNCAjAzZs3lSLIjY2NkMlk9Hs6gMOHD2Pjxo14//338cgjj4z4/Z6entx9mKKMjY0NnnzySZSVlaGsrEzlNgEBAUPmIva/R/I9pWKJwrFw4UJYWlri8OHD3Gu//fYbxGIxli5dyr2WmZmJqqoqAEBPT8+Q/Zw6dQrm5uaYPn26/gdtIqSlpaGmpgYAsGTJEhBCcOzYMe7vR48eBSEEixcv5muIRsfFixe5m6K676mtrS2CgoIMPTRBcurUKdx555148803sX37dpXbpKSkoL6+HgCwbNkydHZ24vz589zfDx06BCsrKyxYsMAQQxY8R48exZ/+9Cfs3LlTZSqNYRikpKSgoaEBgPrvqZubm5I3bLyi6vqUlZVBJBJxqTW5XI6UlBQ0NTUB6P+e1tbWIicnh3vPoUOH4OTkhLlz52p/8NF70CmmyI4dO4irqyv58ssvye7du4mvry/ZsmWL0jaenp7khRdeIIT0lxwvXryYfPnll+TEiRPklVdeITY2NmTHjh18DF+QXLlyhSQnJ5OtW7cSNzc3kpycTJKTk4lYLOa2sbe3J6+//jr3308++SSZOHEi+eabb8g333xDJkyYQJ566ik+hi9I8vPzSXJyMvnLX/5CvLy8uGs6sMWFubk5eeeddwghhOzevZvcfvvt5JtvviHHjx8nzz33HLG0tCT/+c9/+DoFQZGSkkJsbW3Jn/70J+5aJicnk5SUFG4bmUxGAJAPP/yQe+3+++8nkyZNInv27CGff/45cXZ2Jq+88gofpyA4zp49S6ytrcn999+vdE1TU1O5bbq6uggA8vnnnxNCCElKSiLr168nu3fvJseOHSNPPvkksbCw4P4+3vn3v/9N7rvvPvL999+TkydPkrfffpu4uLiQrVu3cts0NTURAOS7777jXrvjjjtIaGgo2bt3L0lKSiK2trZk586dIzo27eBNUeLNN99EUFAQDhw4ALlcjr/+9a/Ytm2b0jZz585FYGAgAGDFihVwdnbGV199haqqKvj7++Po0aMavQ7jja+//hrp6ekAgOnTp+PFF18EAHz//fdcGDghIUEpJPzee+9h2rRp+PHHHwEA//znP/HYY48ZeOTC5bPPPuMqWYKDg7lrun//fnh5eQEA5s2bBz8/PwDApk2b4O3tjd27d6O2thaTJ0/GhQsXEB8fz88JCIzy8nJERUWhtraWu5YAYGFhwUWORCIREhMT4ePjw/39yy+/xEcffYRvv/0WFhYWePfdd7F582YDj16YlJWVYc6cOaioqFC6pnZ2djh16hQAwNzcHImJidx39oknnkBAQAD27duHhoYGBAUFITMzU6lCeTzz3HPP4dChQ/j555/R0NAAPz8/fP/997jtttu4bSwtLZGYmKjUgX7fvn1499138cUXX8DW1hZffvkl7rnnnhEdW0QIITo7EwqFQqFQKBQTg3qWKBQKhUKhUDRAxRKFQqFQKBSKBqhYolAoFAqFQtEAFUsUCoVCoVAoGqBiiUKhUCgUCkUDVCxRKBQKhUKhaICKJQqFQqFQKBQN0KaUFArF6JFIJLh8+TKA/uaJrq6uCAoK4hZ4Hkh7ezsqKysREREBACgoKOCWUWCXP3F0dDTU0CkUihFAm1JSKBSj57fffsPy5csRGxsLkUiEiooK2NnZ4cCBA4iKilLa9s0330ROTg5+/vlnAICrqys8PDzg7u6OtrY2VFdX4+2338b/9//9f3ycCoVCESA0DUehUIyenJwceHh4ICMjA+np6aiuroa7u7vKBWGPHj2K22+/HUD/Mh/t7e344osvkJ6ejuLiYjz//PN45plncPPmTUOfBoVCEShULFEoFKMnOzsbM2fO5P7bxsYGiYmJqKqqUtquqakJly5dwsqVK7n3AVB675IlS8AwDG7cuGGAkVMoFGOAiiUKhWL0DBZLhBCkp6cjNjZWabtjx44hKioKnp6e3Pt8fHzg5ubGbZOamgonJydMnTrVMIOnUCiChxq8KRSKUdPe3o6KigpYW1sjPT0d7e3t+Oqrr9DW1oZ9+/YpbTswBQf0iyVvb2+kp6dDKpUiOTkZ//nPf/DZZ58NMXm3t7fDyckJZmb0GZNCGW9QgzeFQjFqzpw5g6VLlyIqKgoWFhYoLy8HwzBITU3FtGnTuO1kMhk8PDxw/vx5REZGAgDc3Nzg5OQELy8vtLS0oKysDB999BG2bt3Kva+1tRVr1qxBQUEBLC0tsXfvXixevNjg50mhUPiDPiJRKBSjJicnB3Z2dsjMzERGRgZqamowadIkPP/880rb/f7773B0dOSE0vXr19HW1oYPP/wQ6enpKC0txUsvvYTnn38ebW1t3Pt27tyJ0NBQtLe346effsIjjzwC+oxJoYwvqFiiUChGTXZ2NqKiomBubg6gv1fSM888g19//VWpou3o0aNYtWqV0vsAKPmannvuOcjlcvz444/caykpKdi8eTMAYOHChVAoFKirq9PnKVEoFIFBxRKFQjFqsrOzhxi516xZAwsLCxw4cIB77ddffx3iV5o0aRJn9gYAFxcXLFu2DD/99BP3Wnt7O1xcXLj/dnV1VYo8USgU04eKJQqFYrT09fVhwoQJWLZsmdLrzs7OeOSRR1BWVgYAKC4uRk1NDZYsWcJtI5VKsWHDhiH73LJlC6RSKdfV28vLCzU1NQDAtRTw9vbW1ylRKBQBQg3eFArF5Pnvf/+Ls2fP4tdffx3xez/++GP88MMP+PDDD3HkyBGcOnUKycnJehglhUIRKrR1AIVCMXlqa2tx//33j+q9jz76KGpra/HAAw9g8uTJ2LNnj45HR6FQhA6NLFEoFAqFQqFogHqWKBQKhUKhUDRAxRKFQqFQKBSKBqhYolAoFAqFQtEAFUsUCoVCoVAoGqBiiUKhUCgUCkUDVCxRKBQKhUKhaICKJQqFQqFQKBQNULFEoVAoFAqFogEqligUCoVCoVA0QMUShUKhUCgUigaoWKJQKBQKhULRwP8PSGJ2I5BH2vM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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the density\n", "potential.plotDensities(\n", " MWPotential2014, rmin=0.1, rmax=3.0, zmin=-0.5, zmax=0.5, nrs=50, nzs=50, log=True\n", ");" ] }, { "cell_type": "markdown", "id": "cc615954", "metadata": { "papermill": { "duration": 0.005995, "end_time": "2026-06-30T01:16:50.505579+00:00", "exception": false, "start_time": "2026-06-30T01:16:50.499584+00:00", "status": "completed" }, "tags": [] }, "source": [ "For non-axisymmetric potentials, we can plot the density in the x-y plane using `xy=True`:" ] }, { "cell_type": "code", "execution_count": 18, "id": "fa76b0b9", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:50.518911Z", "iopub.status.busy": "2026-06-30T01:16:50.518678Z", "iopub.status.idle": "2026-06-30T01:16:51.070011Z", "shell.execute_reply": "2026-06-30T01:16:51.068962Z" }, "papermill": { "duration": 0.559282, "end_time": "2026-06-30T01:16:51.070938+00:00", "exception": false, "start_time": "2026-06-30T01:16:50.511656+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import SpiralArmsPotential\n", "\n", "sp = SpiralArmsPotential(amp=0.6)\n", "lp = LogarithmicHaloPotential(normalize=1.0)\n", "potential.plotDensities(\n", " sp + lp, rmin=-2.0, rmax=2.0, zmin=-2.0, zmax=2.0, nrs=50, nzs=50, log=True, xy=True\n", ")\n", "plt.gca().set_aspect(\"equal\");" ] }, { "cell_type": "markdown", "id": "cb1e1581032b452c9409d6c6813c49d1", "metadata": { "papermill": { "duration": 0.006475, "end_time": "2026-06-30T01:16:51.084643+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.078168+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Circular-orbit quantities\n", "\n", "galpy can compute the circular velocity, epicycle frequency, vertical frequency,\n", "and angular frequency:" ] }, { "cell_type": "code", "execution_count": 19, "id": "379cbbc1e968416e875cc15c1202d7eb", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.099096Z", "iopub.status.busy": "2026-06-30T01:16:51.098890Z", "iopub.status.idle": "2026-06-30T01:16:51.103763Z", "shell.execute_reply": "2026-06-30T01:16:51.102819Z" }, "papermill": { "duration": 0.013172, "end_time": "2026-06-30T01:16:51.104494+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.091322+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ(R=1): 1.0\n", "Omega_c(R=1): 1.0\n", "Epicycle freq(R=1): 1.340959647011537\n", "Vertical freq(R=1): 2.7255405754769875\n" ] } ], "source": [ "print(\"v_circ(R=1):\", MWPotential2014.vcirc(1.0))\n", "print(\"Omega_c(R=1):\", MWPotential2014.omegac(1.0))\n", "print(\"Epicycle freq(R=1):\", MWPotential2014.epifreq(1.0))\n", "print(\"Vertical freq(R=1):\", MWPotential2014.verticalfreq(1.0))" ] }, { "cell_type": "markdown", "id": "7b50000d", "metadata": { "papermill": { "duration": 0.006518, "end_time": "2026-06-30T01:16:51.118306+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.111788+00:00", "status": "completed" }, "tags": [] }, "source": [ "Let's plot the rotation curve of `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 20, "id": "277c27b1587741f2af2001be3712ef0d", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.133064Z", "iopub.status.busy": "2026-06-30T01:16:51.132853Z", "iopub.status.idle": "2026-06-30T01:16:51.276215Z", "shell.execute_reply": "2026-06-30T01:16:51.275119Z" }, "papermill": { "duration": 0.151753, "end_time": "2026-06-30T01:16:51.276958+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.125205+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the rotation curve\n", "Rs = numpy.linspace(0.01, 3.0, 101)\n", "plt.plot(Rs * 8, [MWPotential2014.vcirc(R, ro=8.0, vo=220.0) for R in Rs])\n", "plt.xlabel(r\"$R\\,(\\mathrm{kpc})$\")\n", "plt.ylabel(r\"$v_c\\,(\\mathrm{km\\,s}^{-1})$\")\n", "plt.title(\"Rotation curve of MWPotential2014\");" ] }, { "cell_type": "markdown", "id": "abc43b88", "metadata": { "papermill": { "duration": 0.006776, "end_time": "2026-06-30T01:16:51.291546+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.284770+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Spiral density wave diagram: $\\Omega - n\\kappa/m$\n", "\n", "As an application of the above, we can compute the diagram of $\\Omega - n\\kappa/m$, which is important for understanding kinematic\n", "spiral density waves. It shows the locations of various resonances." ] }, { "cell_type": "code", "execution_count": 21, "id": "d10a14b5", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.306426Z", "iopub.status.busy": "2026-06-30T01:16:51.306192Z", "iopub.status.idle": "2026-06-30T01:16:51.457752Z", "shell.execute_reply": "2026-06-30T01:16:51.456645Z" }, "papermill": { "duration": 0.160001, "end_time": "2026-06-30T01:16:51.458414+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.298413+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def OmegaMinusKappa(pot, Rs, n, m, ro=8.0, vo=220.0):\n", " return pot.omegac(Rs / ro, ro=ro, vo=vo) - n / m * pot.epifreq(\n", " Rs / ro, ro=ro, vo=vo\n", " )\n", "\n", "\n", "Rs = numpy.linspace(0.01, 16.0, 101)\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 0, 1))\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 1, 2))\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 1, 1))\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 1, -2))\n", "plt.xlim(0.0, 16.0)\n", "plt.ylim(-20.0, 100.0)\n", "plt.xlabel(r\"$R\\,(\\mathrm{kpc})$\")\n", "plt.ylabel(r\"$(\\mathrm{km\\,s}^{-1}\\,\\mathrm{kpc}^{-1})$\")\n", "plt.text(3.0, 21.0, r\"$\\Omega-\\kappa/2$\", size=18.0)\n", "plt.text(5.0, 50.0, r\"$\\Omega$\", size=18.0)\n", "plt.text(7.0, 60.0, r\"$\\Omega+\\kappa/2$\", size=18.0)\n", "plt.text(6.0, -7.0, r\"$\\Omega-\\kappa$\", size=18.0);" ] }, { "cell_type": "markdown", "id": "db7b79bc585a40fcaf58bf750017e135", "metadata": { "papermill": { "duration": 0.006779, "end_time": "2026-06-30T01:16:51.472327+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.465548+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Lindblad resonances\n", "\n", "Find the radius of the inner and outer Lindblad resonances for a given pattern speed:" ] }, { "cell_type": "code", "execution_count": 22, "id": "916684f9a58a4a2aa5f864670399430d", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.487159Z", "iopub.status.busy": "2026-06-30T01:16:51.486959Z", "iopub.status.idle": "2026-06-30T01:16:51.493333Z", "shell.execute_reply": "2026-06-30T01:16:51.492317Z" }, "papermill": { "duration": 0.014795, "end_time": "2026-06-30T01:16:51.493973+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.479178+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Corotation: 0.6027911166042229\n", "Inner Lindblad resonance (m=2): None\n", "Outer Lindblad resonance (m=-2): 0.9906190683480501\n" ] } ], "source": [ "# Lindblad resonances for a pattern speed similar to the Milky Way's bar\n", "# Using the Miyamoto-Nagai potential for this example:\n", "print(\"Corotation:\", mp.lindbladR(5.0 / 3.0, m=\"corotation\"))\n", "print(\"Inner Lindblad resonance (m=2):\", mp.lindbladR(5.0 / 3.0, m=2))\n", "print(\"Outer Lindblad resonance (m=-2):\", mp.lindbladR(5.0 / 3.0, m=-2))" ] }, { "cell_type": "markdown", "id": "2cd4db9b", "metadata": { "papermill": { "duration": 0.006721, "end_time": "2026-06-30T01:16:51.507752+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.501031+00:00", "status": "completed" }, "tags": [] }, "source": [ "The `None` for `m=2` means there is no inner Lindblad resonance for this potential." ] }, { "cell_type": "markdown", "id": "1671c31a24314836a5b85d7ef7fbf015", "metadata": { "papermill": { "duration": 0.006741, "end_time": "2026-06-30T01:16:51.521599+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.514858+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Interpolated potentials\n", "\n", "For expensive potentials, galpy provides `interpRZPotential` (for axisymmetric potentials)\n", "and `interpSphericalPotential` (for spherical potentials) that pre-compute a grid and\n", "interpolate. `interpSphericalPotential` can be initialized from a function giving the\n", "radial force or from an existing spherical potential. See the\n", "[API documentation](../../reference/potentialinterprz.rst) for full details." ] }, { "cell_type": "code", "execution_count": 23, "id": "33b0902fd34d4ace834912fa1002cf8e", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.536526Z", "iopub.status.busy": "2026-06-30T01:16:51.536318Z", "iopub.status.idle": "2026-06-30T01:16:51.646689Z", "shell.execute_reply": "2026-06-30T01:16:51.645662Z" }, "papermill": { "duration": 0.119155, "end_time": "2026-06-30T01:16:51.647636+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.528481+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original: -1.3531320418152721\n", "Interpolated: -1.3531320418152721\n" ] } ], "source": [ "from galpy.potential import interpRZPotential\n", "\n", "# Create an interpolated version of MWPotential2014\n", "ip = interpRZPotential(\n", " RZPot=MWPotential2014,\n", " rgrid=(0.01, 3.0, 51),\n", " zgrid=(0.0, 0.5, 26),\n", " interpPot=True,\n", " interpRforce=True,\n", " interpzforce=True,\n", ")\n", "# Compare\n", "print(\"Original:\", potential.evaluatePotentials(MWPotential2014, 1.0, 0.1))\n", "print(\"Interpolated:\", ip(1.0, 0.1))" ] }, { "cell_type": "markdown", "id": "8528ae73", "metadata": { "papermill": { "duration": 0.006796, "end_time": "2026-06-30T01:16:51.662362+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.655566+00:00", "status": "completed" }, "tags": [] }, "source": [ "These interpolated potentials can be used anywhere a regular potential can be used, and they are much faster to evaluate than the original potential. They are especially useful for orbit integration, where the potential is evaluated many times." ] }, { "cell_type": "markdown", "id": "f6fa52606d8c4a75a9b52967216f8f3f", "metadata": { "papermill": { "duration": 0.006869, "end_time": "2026-06-30T01:16:51.676180+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.669311+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Initializing potentials with physical parameters\n", "\n", "You can initialize potentials directly with physical parameters (e.g., `amp` in\n", "$M_\\odot$, `a` in kpc) by passing `ro=` and `vo=`. When initialized this way,\n", "physical output is turned on automatically. Use `use_physical=False` to get output\n", "in natural units when needed." ] }, { "cell_type": "code", "execution_count": 24, "id": "f5a1fa73e5044315a093ec459c9be902", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.691872Z", "iopub.status.busy": "2026-06-30T01:16:51.691667Z", "iopub.status.idle": "2026-06-30T01:16:51.696161Z", "shell.execute_reply": "2026-06-30T01:16:51.695189Z" }, "papermill": { "duration": 0.013634, "end_time": "2026-06-30T01:16:51.696809+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.683175+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phi(R=1, z=0) [physical]: -96354.67477240822 km^2/s^2\n", "Phi(R=1, z=0) [natural]: -1.9907990655456245\n", "Phi(8 kpc, 0 kpc): -96354.67477240822 km^2/s^2\n" ] } ], "source": [ "from astropy import units as u\n", "\n", "# NFW halo with physical parameters -- physical output is on by default\n", "nfw = NFWPotential(mvir=1.0, conc=15.0, ro=8.0, vo=220.0)\n", "\n", "# Output is in physical units (km^2/s^2) automatically\n", "print(\"Phi(R=1, z=0) [physical]:\", nfw(1.0, 0.0), \"km^2/s^2\")\n", "\n", "# Use use_physical=False to get natural units\n", "print(\"Phi(R=1, z=0) [natural]:\", nfw(1.0, 0.0, use_physical=False))\n", "\n", "# You can also pass astropy Quantities directly\n", "print(\"Phi(8 kpc, 0 kpc):\", nfw(8.0 * u.kpc, 0.0 * u.kpc), \"km^2/s^2\")" ] }, { "cell_type": "markdown", "id": "779d369d", "metadata": { "papermill": { "duration": 0.007015, "end_time": "2026-06-30T01:16:51.711059+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.704044+00:00", "status": "completed" }, "tags": [] }, "source": [ "This also works for other potential types, such as `MiyamotoNagaiPotential`:" ] }, { "cell_type": "code", "execution_count": 25, "id": "cdf66aed5cc84ca1b48e60bad68798a8", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:51.726477Z", "iopub.status.busy": "2026-06-30T01:16:51.726206Z", "iopub.status.idle": "2026-06-30T01:16:51.732257Z", "shell.execute_reply": "2026-06-30T01:16:51.731201Z" }, "papermill": { "duration": 0.01469, "end_time": "2026-06-30T01:16:51.732874+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.718184+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ(R=1) [physical]: 145.9185599862874 km/s\n", "v_circ(R=1) [natural]: 0.6632661817558517\n", "\n", "After turn_physical_off:\n", "v_circ(R=1): 0.6632661817558517\n", "\n", "After turn_physical_on:\n", "v_circ(R=1): 145.9185599862874 km/s\n" ] } ], "source": [ "# Miyamoto-Nagai with physical amplitude (amp in Msun, a and b in kpc)\n", "mn_phys = MiyamotoNagaiPotential(\n", " amp=5e10 * u.Msun, a=3.0 * u.kpc, b=0.28 * u.kpc, ro=8.0, vo=220.0\n", ")\n", "print(\"v_circ(R=1) [physical]:\", mn_phys.vcirc(1.0), \"km/s\")\n", "print(\"v_circ(R=1) [natural]:\", mn_phys.vcirc(1.0, use_physical=False))\n", "\n", "# turn_physical_off / turn_physical_on lets you switch the default\n", "mn_phys.turn_physical_off()\n", "print(\"\\nAfter turn_physical_off:\")\n", "print(\"v_circ(R=1):\", mn_phys.vcirc(1.0))\n", "\n", "mn_phys.turn_physical_on(ro=8.0, vo=220.0)\n", "print(\"\\nAfter turn_physical_on:\")\n", "print(\"v_circ(R=1):\", mn_phys.vcirc(1.0), \"km/s\")" ] }, { "cell_type": "markdown", "id": "8c28d9ba", "metadata": { "papermill": { "duration": 0.006918, "end_time": "2026-06-30T01:16:51.747196+00:00", "exception": false, "start_time": "2026-06-30T01:16:51.740278+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Tip**\n", "\n", "The `amp=` parameter has different units for different potentials. Check each potential's documentation to learn what the units are. For example, for a `LogarithmicHaloPotential` the units are velocity squared, while for a `MiyamotoNagaiPotential` they are units of mass. Check each potential's API documentation for the units of `amp=`.\n", "\n", "
\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "When combining potentials with different `ro=` and `vo=` values, unexpected behavior can result. It is best to use the same `ro=` and `vo=` for all potentials in a combination.\n", "\n", "
" ] } ], "metadata": { "kernelspec": { "display_name": "py312", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.14" }, "papermill": { "default_parameters": {}, "duration": 6.602579, "end_time": "2026-06-30T01:16:52.472105+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/potentials/introduction.ipynb", "output_path": "doc/source/tutorials/potentials/introduction.ipynb", "parameters": {}, "start_time": "2026-06-30T01:16:45.869526+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }